text stringlengths 270 8.19k | meta dict |
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(6/(-4))/(6/224). Let n = -31 - o. What is the remainder when n is divided by w?
4
Suppose -5*p + 2*n = -3*p + 12, 0 = 4*p + 2*n + 12. Let f be ((-2)/p)/(4/(-200)). Let h = f + 39. Calculate the remainder when h is divided by 8.
6
Let h = 2170 + -2095. What is the remainder when 347 is divided by h?
47
Suppose 14*p - 11*p + 129 = 0. Let q = p + 60. Calculate the remainder when 65 is divided by q.
14
Calculate the remainder when 119 is divided by (-29)/145 - (-622)/10.
57
Let o = 1122 - -763. Calculate the remainder when o is divided by 51.
49
Let y(j) = -j**3 - 15*j**2 - 57*j - 19. Suppose 3*g + 7 = 91. Calculate the remainder when g is divided by y(-9).
4
Let c(a) = 15*a**3 - a**2 - 4*a + 4. Calculate the remainder when 222 is divided by c(1).
12
Let l be -11 - (0 + 6/3). Let z(f) = -3*f - 28. What is the remainder when z(l) is divided by 5?
1
Suppose 0 = 12*z - 13*z + 24. Let i(w) = 5*w**2. Let y be i(-1). Suppose -y*n + 47 = -18. What is the remainder when z is divided by n?
11
Suppose -6*f = -60 + 12. Suppose f = 5*t - 22. Calculate the remainder when 11 is divided by t.
5
Let w(j) = -9*j + 19. Let o be (-2)/(-4) - (-133)/(-14). Suppose -108 = -3*l + 2*r, -4*r + 93 + 65 = 5*l. Calculate the remainder when w(o) is divided by l.
32
Suppose -346 - 4178 = -29*l. Calculate the remainder when l is divided by 47.
15
Let v be ((-30)/(-5))/(3/2). What is the remainder when 19 is divided by v/22 - 375/(-55)?
5
Let f(d) = -d**2 + 8*d - 10. Suppose 0 = 3*x + 4*o - 32, 0*x - 5*o = -2*x + 6. What is the remainder when x is divided by f(3)?
3
Let n(r) = r**2 - 3*r - 7. Let j be n(5). Suppose -j*i + 4*i + 173 = 3*z, -i - 291 = -5*z. Calculate the remainder when z is divided by 15.
14
Let m = -362 + 373. What is the remainder when 26 is divided by m?
4
Let z(v) = -v**3 - 23*v**2 - 50*v - 18. Calculate the remainder when z(-21) is divided by 31.
26
Suppose -348 = -0*v - 3*v. Calculate the remainder when v is divided by 30.
26
Let v = -15 - -3. Let y = v + 24. Calculate the remainder when 35 is divided by y.
11
What is the remainder when (-15*(-8)/(-36))/((-26)/1833) is divided by 12?
7
Calculate the remainder when (18 - 13)/(5/1) is divided by 1.
0
Suppose p - 31 = -3*j, -p + 9 - 14 = 0. Calculate the remainder when 405 is divided by j.
9
Let b(q) = -2*q**2 + 30*q + 22. What is the remainder when 84 is divided by b(15)?
18
Let h(o) = -28*o - 22. What is the remainder when 617 is divided by h(-3)?
59
Suppose 3*r - 87 = -4*y, 2*y + 4*r + 6 = 62. Let u(j) = j**2 + 6*j. Let g be u(-5). What is the remainder when y is divided by g/(2/1 - 3)?
3
Let l = 1796 + -823. What is the remainder when l is divided by 65?
63
Let i(t) = -t**2 + 4*t + 3. Let n be i(4). Suppose -4*u = u - 220. Calculate the remainder when u is divided by n/((-6)/(-32)) - 1.
14
Let v(d) = d**3 + 17*d**2 + 32*d + 51. Calculate the remainder when 78 is divided by v(-15).
15
Suppose -5*f = 2*x + 9, 2*x = 4*x - 6. Let v(j) = -j**3 - 2*j**2 + 2*j. Suppose -2*l - 31 = -35. What is the remainder when v(f) is divided by l?
1
Let s(l) = -11 - 16*l - 18 + l + 38 - 9*l**2 - l**3. Calculate the remainder when s(-7) is divided by 2.
0
Suppose 43 + 53 = 4*c. Suppose -5*z = -94 + c. What is the remainder when 41 is divided by z?
13
Let n(f) = -f**3 + 8*f**2 - 6*f - 4. Let x be n(7). Let l be (x/2)/((-3)/(-16)). Suppose 0 = -d + 36 - l. Calculate the remainder when d is divided by 10.
8
Let l = -12 + 17. Suppose -l*k = z - 37, 2*k + 4*z = 6*k - 44. What is the remainder when 30*((-33)/(-6) + -5) is divided by k?
7
Suppose -l + 6*l - 2*h = 693, 4*l + 3*h - 536 = 0. Calculate the remainder when l is divided by 40.
17
Suppose 49 = -6*o + 61. Suppose -424 = o*r - 10*r. Suppose 22 = 3*z - z. What is the remainder when r is divided by z?
9
Let d(h) = 4*h - 34. Let j(a) = a**3 + 8*a**2 + 15. Let s be j(-8). Suppose 5*x = 5*r - 405, -3*x = -5*x - 8. Calculate the remainder when r is divided by d(s).
25
Let a(g) = -22*g + 19. What is the remainder when 110 is divided by a(0)?
15
Let p(g) = -g**3 + 20*g**2 + 14*g. Calculate the remainder when p(6) is divided by 119.
112
Let h(g) = 4*g**2 - 43*g - 95. What is the remainder when h(15) is divided by 83?
77
Let y be (-96)/15 - 10/(-25). Calculate the remainder when 4/y + 693/27 is divided by 14.
11
Suppose -2*a + 26 = -2*j - 2*j, 0 = 5*j + 2*a + 19. Let g be 5/((-10)/(-6)) + 9. Let y = g + j. Calculate the remainder when 33 is divided by y.
5
Suppose 5*c = 5*u + 580, 2*c - 4*c + 3*u + 234 = 0. Suppose 9*i + 273 = 16*i. Calculate the remainder when c is divided by i.
36
Let r(l) = -l**3 + 6*l**2 - 4*l. Let n be r(5). Suppose 6*a - 2*a + 295 = n*x, 3*x = 4*a + 185. What is the remainder when x is divided by 20?
15
Suppose 4 = 2*v + 4*l, 4*v + 0*l = 5*l + 21. Let s(x) = 2*x**2 - 4*x - 6. Calculate the remainder when 17 is divided by s(v).
7
Suppose -5*c + 130 = -2*l, 4*l = -5*c - 5 + 135. Let g be 4/(-6)*(-207)/(-6). Let w = g - -125. Calculate the remainder when w is divided by c.
24
Suppose -n = -3*n + 8. Let s(l) = l**3 - 4*l**2 + 4*l + 3. What is the remainder when 446/8 - 11/(-44) is divided by s(n)?
18
Let x = -161 - -224. Let f = 30 - -32. Suppose 0 = -2*u + 2*t + 28, 0 = -3*u - 2*t - 10 + f. Calculate the remainder when x is divided by u.
15
Let b = 442 - 327. What is the remainder when b is divided by 21?
10
Suppose 11*v - 222 = 559. Suppose -2*f + 18 = -0*f. Calculate the remainder when v is divided by f.
8
Let h = -77 + 114. Calculate the remainder when 516 is divided by h.
35
Let w = -287 + 306. Calculate the remainder when w is divided by 9.
1
Let o(x) = -x**3 + 6*x**2 + 4*x - 12. Suppose 4*f - 20 = -4*i, 0*i = 3*f - i - 19. What is the remainder when 33 is divided by o(f)?
9
Calculate the remainder when 110 + -115 - (-1956 + -1) is divided by 21.
20
Let d = -2 + 7. Suppose 4*y - 33 = -d*f, y + 5*f - 21 = 3*y. Suppose 7*n + 18 = 10*n. Calculate the remainder when n is divided by y.
0
Let f = -685 + 740. Calculate the remainder when 80 is divided by f.
25
Let f = -19 - 60. Let h = f + 86. Calculate the remainder when 40 is divided by h.
5
Calculate the remainder when 1013/5 + 2/5 is divided by 52.
47
Let u be 261/(-36) - (-3)/(-4). Let r = u + -12. What is the remainder when 7 is divided by (9/(-12))/(5/r)?
1
Suppose -314 - 206 = -13*z. Calculate the remainder when 197 is divided by z.
37
Let i(x) = 4*x**2 + 4*x + 4. Let w(r) = -r**2 + 14*r - 11. Suppose 29*m - 26*m = 33. Calculate the remainder when i(-5) is divided by w(m).
18
Let r(a) = a**3 + 13*a**2 + 6*a - 17. Let t be -10*(-1 + (-11)/(-5)). Calculate the remainder when r(t) is divided by 20.
15
Let l(q) = q**3 + 3*q**2 + 2. Let a be l(-3). Suppose -y + 4*p = p - 33, -a*y - 2*p = -106. Let r = 927 - 902. Calculate the remainder when y is divided by r.
23
Let t be 3/(-27) + (32648/(-18))/(-7). Suppose 291 = 2*a + t. What is the remainder when a is divided by 6?
4
Suppose 0 = -j - 2*x + 47, 4*x + 61 - 296 = -5*j. What is the remainder when 141 is divided by j?
0
Let c = -101 + 105. What is the remainder when 4/2 + -6 + 8 is divided by c?
0
Let v be (3 - (2 - 0))*-1. What is the remainder when 12 is divided by (0 + v)*(-4 + -3)?
5
Let x = 64 + -56. What is the remainder when 16 is divided by 3 - (-4 - x)/2?
7
Let t = 148 - 99. Let y = 140 - t. Calculate the remainder when (-2)/10 - y/(-5) is divided by 5.
3
Let s = 29 - 24. Suppose 0 = f - s*f + 148. Suppose 0 = 4*y - 25 - 15. What is the remainder when f is divided by y?
7
Let g be -1*(-1)/2*-2. Let i be (1 - 1)*g/(-2). Suppose i = -4*z + 18 + 46. What is the remainder when 29 is divided by z?
13
Let o(y) = y**2 - 4*y. Let h be o(-3). Suppose -h + 57 = 3*l. Let c = 1 + l. Calculate the remainder when 25 is divided by c.
12
Suppose 5*k - 177 = 4*n, 8 = -n + 5. Suppose 0 = -2*m + 2*c + 18, -8*m + 3*m - 5*c + 15 = 0. What is the remainder when k is divided by m?
3
Let h be (690/(-20))/((-2)/4). Let s = 75 - h. What is the remainder when 11 is divided by s?
5
Let g(i) = i + 6 + 0 + 1. Let l = -15 + 21. Calculate the remainder when 23 is divided by g(l).
10
Suppose 870 = -98*n + 108*n. What is the remainder when 427 is divided by n?
79
What is the remainder when 1/((-5)/370*2/(-3)) is divided by 24?
15
Suppose 5*w - 17 = -4*s, 0 = w + 3*s - 7 + 8. What is the r | {
"pile_set_name": "DM Mathematics"
} |
o**2 - 7*o + 9. Let v be i(4). Let g(p) = 2*p**2 - p - 3. Give v*n(h) - 2*g(h).
-h**2 - h
Let c(r) = 2*r**2 - 4*r + 2. Let b = 12 - 6. Let w(v) = 13*v**2 - 17*v + 4. Let m(u) = 3*u**2 - 4*u + 1. Let h(p) = -9*m(p) + 2*w(p). Give b*c(d) + 11*h(d).
d**2 - 2*d + 1
Let a(i) = 14*i**2 - 3*i. Let b(d) = 84*d**2 - 17*d. Give -34*a(l) + 6*b(l).
28*l**2
Let x(z) = -4*z**2 - 4*z + 3. Let w(m) = 5*m**2 + 5*m - 4. Let c = 25 - 23. Give c*w(y) + 3*x(y).
-2*y**2 - 2*y + 1
Let w(p) = 8*p + 2. Let d(o) = 9*o + 2. Let i be (-182)/(-9) + 8/(-36). Let f = i + -15. Determine f*d(r) - 6*w(r).
-3*r - 2
Let s(v) = 3*v - 1. Let b(r) = -r + 1. Calculate 5*b(x) + 2*s(x).
x + 3
Let p(s) = -4*s**2 - 7*s + 1. Let y(k) = 9*k**2 + 14*k - 3. Determine 5*p(a) + 2*y(a).
-2*a**2 - 7*a - 1
Let q(s) = -s**2 - 6*s + 20. Let i(w) = -2*w + 7. Calculate 11*i(p) - 4*q(p).
4*p**2 + 2*p - 3
Let d(r) = r**2 + 5*r - 2. Let v(z) = -z**2 - 3*z + 1. Suppose c = 2*k - 7, 0 = 4*c + 4*k - 2*k + 8. Determine c*d(q) - 5*v(q).
2*q**2 + 1
Suppose 2*s - 11 = -9*s. Let b(g) = g**3 + 6*g**2 - 8*g - 7. Let y(p) = -p**2 + p + 1. Calculate s*b(q) + 6*y(q).
q**3 - 2*q - 1
Let i(u) = -3. Let c(g) = g + 6. Give -4*c(r) - 7*i(r).
-4*r - 3
Let c(j) be the first derivative of j**3 - 3*j**2 - 2*j + 1. Suppose -7*h + 2*h + 10 = 0. Let v(z) = -z**h - z - 3 + 5*z**2 - 6*z. Determine 5*c(k) - 4*v(k).
-k**2 - 2*k + 2
Let p(k) = 5 - 12 + 9 + 7*k. Let b(x) = -x - 1. Calculate 2*b(n) + p(n).
5*n
Let k(h) = 5*h**2 + 2*h + 2. Suppose 4*a + 3*i + 28 = 0, a + 10 = -2*i - 2. Let l(d) = -9*d**2 - 4*d - 4. Give a*l(t) - 7*k(t).
t**2 + 2*t + 2
Let u(f) = -3*f**2 + 5*f - 5. Let p(h) = -5*h - 13. Let w(c) = c + 3. Let v(t) = 2*p(t) + 9*w(t). Determine -u(z) - 5*v(z).
3*z**2
Let b(c) = -26*c - 3. Let a(t) = 9*t + 1. Calculate 8*a(j) + 3*b(j).
-6*j - 1
Let z(n) = n. Let a(c) = -2*c**3 - 4*c**2. What is a(v) + 5*z(v)?
-2*v**3 - 4*v**2 + 5*v
Let l(c) = c + 1. Let i(h) = 7*h + 4. What is i(x) - 3*l(x)?
4*x + 1
Let y = -8 - 0. Let v(a) = 2*a**3 - 8*a**2 - 6*a - 8. Let c(l) = -2*l - 2*l**2 - l**2 - 3 - 2*l**3 + 3*l**3. Determine y*c(x) + 3*v(x).
-2*x**3 - 2*x
Let f(r) = r**2 - 1. Let k(h) = 6*h**2 - 6. Give 15*f(c) - 3*k(c).
-3*c**2 + 3
Let c(p) = -p**2 + 2*p**2 - 2*p**2 - p + 0*p**2. Let r(o) = 2*o**3 + 6*o**2 + 5*o + 1. What is 6*c(l) + r(l)?
2*l**3 - l + 1
Let s(k) = -5*k - 27. Let r(f) = -2*f - 13. Determine 9*r(h) - 4*s(h).
2*h - 9
Let v(f) = 14*f**3 - 4*f. Let g(l) = -27*l**3 + 7*l. Determine -3*g(c) - 5*v(c).
11*c**3 - c
Let m(q) = 1 - 2 - 7*q + 4. Let n(v) = 3 - 4*v - 4 + 3. Suppose -k + 2*z + 3*z = -5, 18 = -4*k + z. What is k*n(l) + 3*m(l)?
-l - 1
Let t(a) = 12*a - 16. Let z(m) = m - 1. What is 3*t(b) - 48*z(b)?
-12*b
Let r(s) = -15*s**3 + 3*s**2 - 3*s + 3. Let p(g) = 14*g**3 - 4*g**2 + 4*g - 4. Determine 3*p(m) + 4*r(m).
-18*m**3
Let g(z) = -3*z**3 - 2*z**2 + 4*z + 1. Let y(r) = 2*r**3 + r**2 - 3*r - 1. Give 3*g(m) + 4*y(m).
-m**3 - 2*m**2 - 1
Let x(c) = 12*c - 4. Let n(m) = 7*m - 2. Calculate -5*n(h) + 2*x(h).
-11*h + 2
Let v(r) = -1 - 2 - 6*r + r - 1. Let u(p) = -4*p - 3. Determine 4*u(h) - 3*v(h).
-h
Let u(b) = 21*b + 6. Let w(o) = 4*o + 1. Let l be (-7)/((-105)/(-10))*99/6. Give l*w(g) + 2*u(g).
-2*g + 1
Let l(j) = -450*j**2 - 99*j - 99. Let z(b) = -18*b**2 - 4*b - 4. What is 4*l(u) - 99*z(u)?
-18*u**2
Let h(a) = 5*a**3 - a**2. Let s(n) = 4*n**3 - n**2. Calculate 6*h(j) - 5*s(j).
10*j**3 - j**2
Let i(s) be the second derivative of 3*s**5/20 - 2*s**4/3 + 5*s**3/6 + 2*s**2 + 23*s. Let t(k) = -2*k**3 + 7*k**2 - 4*k - 3. What is 3*i(a) + 4*t(a)?
a**3 + 4*a**2 - a
Let h(r) = 5*r**3 - r**2 + 3*r. Let i(q) = q**3 + q. Suppose -5*x - 5 = 10. Let l be 0 - 2 - (-6 - x). Determine l*h(s) - 4*i(s).
s**3 - s**2 - s
Let d(z) be the third derivative of -z**4/12 + 7*z**3/3 - z**2. Let w(v) be the second derivative of v**3/6 - 9*v**2/2 + 3*v - 1. Determine 5*d(b) + 8*w(b).
-2*b - 2
Let k(a) = -4*a**3 + 2*a - 8. Let h(g) = 9*g**3 - 5*g + 15. Calculate 2*h(o) + 5*k(o).
-2*o**3 - 10
Let l(g) = -g + 1. Let h(q) = -7. Determine -2*h(j) + 2*l(j).
-2*j + 16
Let q(c) = 3*c + 11. Let k(j) = 0*j - 2 + 6 + j. Let h be ((-12)/10)/(2/(-10)). Determine h*q(z) - 17*k(z).
z - 2
Let t(x) = 3*x**3 - 13*x**2. Let c(l) = l**3 - 6*l**2. What is 13*c(i) - 6*t(i)?
-5*i**3
Let v(q) = 6*q**2. Let f(u) be the first derivative of -u**4/12 - 3*u - 4. Let l(g) be the first derivative of f(g). Determine 22*l(t) + 4*v(t).
2*t**2
Let g(q) = 13*q**3 + 3*q**2 - 7. Let j(b) = 7*b**3 + 2*b**2 - 4. Let o = 0 + 7. What is o*j(k) - 4*g(k)?
-3*k**3 + 2*k**2
Let b(h) = h**3 + 6*h**2 - 3*h - 2. Let r(i) = -i**3 - 11*i**2 + 5*i + 4. What is 5*b(v) + 3*r(v)?
2*v**3 - 3*v**2 + 2
Let c(i) = 5*i - 3. Let o(h) = 9*h - 6. Suppose 15*n - 14*n + 6 = 0. What is n*o(s) + 11*c(s)?
s + 3
Let h(k) = -4*k**2 + 2*k. Let w(a) = 3*a + 8. Let n be w(-4). Let s(p) = 3*p**2 - 2*p. Calculate n*h(z) - 5*s(z).
z**2 + 2*z
Suppose -2*y - 11 + 1 = 0. Let w(f) = -2*f + 4. Let b(i) = 2*i + 9. Let n(d) = -5*d - 26. Let u(c) = -11*b(c) - 4*n(c). What is y*w(m) + 4*u(m)?
2*m
Let m(r) = -r**3 - r**2 - r. Let i(j) = -20*j**3 - 22*j**2 - 22*j. Let g(h) = 3*h**2 - 11*h + 2. Let o be g(6). Give o*m(n) - 2*i(n).
-4*n**3
Let g(c) = -3*c**2 + 2*c - 2. Let w(a) = 3*a**2 + 5*a - 6*a**2 - 5 + 0*a - 4*a**2. Calculate 15*g(l) - 6*w(l).
-3*l**2
Let s(l) = -20*l**3 + 17*l**2 - 20*l + 3. Let i = 142 - 136. Let d(y) = -7*y**3 + 6*y**2 - 7*y + 1. Determine i*s(r) - 17*d(r).
-r**3 - r + 1
Let d(i) = 6*i**3 - 5*i**2 + 4. Let r(b) = b**2 + 3*b. Let n be r(-3). Suppose 19*c - 15*c + 16 = n. Let u(f) = 5*f**3 - 4*f**2 + 3. Give c*d(z) + 5*u(z).
z**3 - 1
Let n(u) = u**2 - 6*u + 1. Let t(c) = -c**2 + 5*c - 2. Calculate 3*n(x) + 4*t(x).
-x**2 + 2*x - 5
Let h(s) = s + 3. Let o = 35 + -31. Let g(c) = -1. What is o*g(v) + h(v)?
v - 1
Let q(j) be the second derivative of -j**3/2 - j**2/2 + 14*j. Let i(w) = 10*w + 4. Calculate 2*i(f) + 7*q(f).
-f + 1
Let w(s) be the second derivative of -s**3/6 - s**2/2 + 2*s. Suppose m + 16 = -k, 3*k - 3*m + 56 = 2*m. Let r(l) = -3*l - 3. What is k*w(v) + 6*r(v)?
-v - 1
Let a(l) = l - 1. Let m(s) = 52*s - 3. Determine -3*a(n) + m(n).
49*n
Let h(p) = 5*p**2 - 62*p - 4. Let d(a) = a**2 - 1. Calculate -4*d(v) + h(v).
v**2 - 62*v
Let v = 2 + 2. Let y(h) be the second derivative of 0*h**2 - 2*h + 1/6*h**3 + 1/12*h**4 + 0. Let z(a) = -3*a**2 - 2*a - 2. What is v*y(i) + z(i)?
i**2 + 2*i - 2
Let r(p) = -2*p + 2. Let w(n) = n**3 - 5*n**2 + 2*n + 7. Let t be w(3). Let y(s) = -4*s + 3. What is t*r(k) + 3*y(k)?
-2*k - 1
Let i(h) = -h - 11. Let w(m) = -11. Determine -2*i(n) + 3*w(n).
2*n - 11
Let r(v) = 2*v**2 - v - 2. Let g = 7 + -10. Let q(j) = -j**2 + j + 1. Calculate g*r(m) - 5*q(m).
-m**2 - 2*m + 1
Let y(i) = 19. Let p(l) = -l**3 + 20. What is 2*p(a) - 3*y(a)?
-2*a**3 - 17
Let n(r) = 7*r**2 + 7*r - 1. Let z(a) = 8*a**2 + 8*a - 1. Suppose 0 = -3*d + 4*d - 2. Let f = -3 - d. What is f*z(p) + 6*n(p)?
2*p**2 + 2*p - 1
Let k(h) = -10*h - 1. Let u(i) = 39*i + 4. Calculate 9*k(a) + 2*u(a).
-12*a - 1
Let y(r) be the second derivative of r**4/12 + r**3/6 + r**2/2 + 32*r. Let v(n) = -3*n**3 - 2*n**2 - 2*n - 2. Give -v(f) - 2*y(f).
3*f**3
Let b(n) = n**3 + 4*n**2 + n - 2. Let p(v) = 9 - 5*v**2 - 2*v + 2 - 8. What is 3*b(y) + 2*p(y)?
3*y**3 + 2*y**2 - y
Let c(w) = -2*w + 3. Suppose 35 = 5*a + 5*z, -6*z + 3*z = 4*a - 26. Let y(j) = -j - 2 + a*j + 1 - 3*j. Determine -c(m) - 3*y(m).
-m
Let y = 1 - 0. Let k(l) = -5*l**2 - 6*l + 1. Suppose 10*j - 7*j + 12 = 0. Let t(x) = -x**2 - x. Give j*t(p) + y*k(p).
-p**2 - 2*p + 1
Let v(l) = l + 1. Let i(a) = -15*a**2 + 35*a + 35. What is -5*i(m) + 175*v(m)?
75*m**2
Let u(r) = -5*r - 3. Let t(l) be the first derivative of 2*l**2 + 3*l**2 - 1 - 3*l**2 + 2*l - 5. What is 3*t(q) + 2*u(q)?
2*q
Let z(c) = -6*c**2 + 5*c + 14. Let p(d) = -2*d - 57. Let m be p(-27). Let b(o) = 2*o**2 - 2*o - 5. What is m*z(q) - 8*b(q)?
2*q**2 + q - 2
Let t(d) = 3 - 2*d**3 - d**2 + 4*d + 3*d**2 + d**2. Let i(h) = h**2 - 4 + 2 - 5*h - 5*h**2 - 2 + 2*h**3. Determine -3*i(r) - 4*t(r).
2*r**3 - r
Let j(m) = 7*m + 4. Let z(w) = -2*w - 1. What is 6*j(q) + 22*z(q)?
-2*q + 2
Let g(m) = m**3 - 7*m**2 + 6*m + 4. Let t be g(6). Let q = 0 - -5. Let n(r) = q*r - 5*r - t - 3*r. Let f(l) = -4*l - 5. Calculate -4*f(z) + 5*n(z).
| {
"pile_set_name": "DM Mathematics"
} |
8226*h*p - 228*h*y**3 wrt h?
-341274290*p**2 - 2*p*y**3
What is the second derivative of 118219735*a**2 + 276592834*a wrt a?
236439470
Find the first derivative of -2*a**3 + 1426*a**2 - 1861*a - 554297114 wrt a.
-6*a**2 + 2852*a - 1861
What is the third derivative of 811368340*q**3 + 639631031*q**2 + q?
4868210040
What is the first derivative of 60382269*k - 77782746?
60382269
What is the second derivative of -8276600*o**4 + 19*o + 59736?
-99319200*o**2
Find the second derivative of -45951649*n**2 - 61105913*n wrt n.
-91903298
Find the third derivative of -137709215*r**4 - 9139062*r**2 - 9*r wrt r.
-3305021160*r
Find the third derivative of -14*p**2*t**3 - 3*p**2*t - 353*p**2 - 869962*p*t**4 + 157*t**2 wrt t.
-84*p**2 - 20879088*p*t
What is the third derivative of 348*g**3*n**3 - 11*g**3*n**2 - 25*g**3 - 28*g**2*n**3 - 76*g**2 + 10*g*n + 9*n**3 + 5*n**2 wrt g?
2088*n**3 - 66*n**2 - 150
Find the first derivative of 3774910*q + 3600405.
3774910
What is the second derivative of -58780*m**3 - m**2 + 15049640*m wrt m?
-352680*m - 2
What is the third derivative of 30*h**4*j - 398*h**4 + 2*h**3*j + 99*h**3 + 3*h**2*j + 7412*h**2 + 28*h*j - h wrt h?
720*h*j - 9552*h + 12*j + 594
What is the third derivative of 95622*n**6 - 10*n**5 + 73*n**2 + 2280*n + 4 wrt n?
11474640*n**3 - 600*n**2
Find the third derivative of -1506173*g**3*p**2 + g**3 - 2*g**2*p**2 + 2809241 wrt g.
-9037038*p**2 + 6
What is the derivative of 248*s**2 + 14134*s - 8616882?
496*s + 14134
Find the first derivative of 432925154*n - 279134423.
432925154
What is the third derivative of 32509444*d**4*p**2 + 5*d**4 + 3*d**2*p**2 - 4*d**2 - 2*d*p - p**2 + 1600*p - 3 wrt d?
780226656*d*p**2 + 120*d
What is the third derivative of -5342834*p*u**3 + 4278*p*u**2 - p + 35*u**3 + 3*u**2 + u + 348 wrt u?
-32057004*p + 210
What is the second derivative of d**2*j**2 + 15*d**2*j - 320*d**2 - 3*d*j**2 + 95*d*j + 4190251*j**2 - 10*j - 2 wrt j?
2*d**2 - 6*d + 8380502
What is the second derivative of -3*t**4 - 3050*t**3 + 5301*t**2 + 362404890*t wrt t?
-36*t**2 - 18300*t + 10602
What is the derivative of -748*p**3 + 46*p**2 - 336*p - 176685466?
-2244*p**2 + 92*p - 336
Find the third derivative of 23*k**5 + 5*k**4 + 7208*k**3 + 55489*k**2 - 132.
1380*k**2 + 120*k + 43248
Find the third derivative of -2*d**5 - 82039*d**4 + 518*d**3 - 763*d**2 + 208532.
-120*d**2 - 1968936*d + 3108
What is the second derivative of -24942158*c**5 + 140*c - 29404 wrt c?
-498843160*c**3
Find the second derivative of 33058*j**2*s**2 - 11602*j**2*s + 137*j**2 - 24*j*s**2 - 3*j - 3*s**2 - 4*s wrt s.
66116*j**2 - 48*j - 6
What is the derivative of 966*v**2 - 387*v - 5501170?
1932*v - 387
What is the third derivative of 947*o**2*u**3 + 3*o**2*u**2 - 12*o - 838*u**3 + 37861*u**2 wrt u?
5682*o**2 - 5028
Find the first derivative of f**2*l - 30653*f**2 - 653032*f*l**3 - f*l**2 + 595 wrt l.
f**2 - 1959096*f*l**2 - 2*f*l
What is the third derivative of 708479731*t**3 + 174272*t**2 - 156*t + 3 wrt t?
4250878386
Find the first derivative of -9336*i**3 - 5*i**2 - 2337*i - 927089006 wrt i.
-28008*i**2 - 10*i - 2337
What is the third derivative of 33491892*q**3*v + q**3 - q**2*v + 4469*q**2 + 96*q + v wrt q?
200951352*v + 6
What is the second derivative of -44483813*d**3 + 3*d + 9541483?
-266902878*d
Find the second derivative of 6861340*b**3 - 2*b**2 - 25178664*b wrt b.
41168040*b - 4
What is the derivative of 37*x**2*y + 2067*x**2 - 16*x*y - 74614*y + 10 wrt x?
74*x*y + 4134*x - 16*y
Find the third derivative of -6006*a**5 - 70*a**3 + 1873*a**2 + a + 82 wrt a.
-360360*a**2 - 420
Find the second derivative of -88880403*n*r**2 + 1419323*n*r + 70*r wrt r.
-177760806*n
What is the third derivative of -3*j**2*n**3 - j**2*n**2 - 9581*j*n**3 + 52*j*n + 325*n**3 + 25656*n**2 wrt n?
-18*j**2 - 57486*j + 1950
What is the second derivative of 583050*g**2 - 192*g - 5508?
1166100
Find the second derivative of 25*f**2*i**2 + 25*f**2*i + 20926*f**2 - 5*f*i**2 - 74*f*i - 3*f + 25*i - 2 wrt f.
50*i**2 + 50*i + 41852
What is the second derivative of 74768763*f**2 - 1243191*f - 219?
149537526
Find the third derivative of 95756625*g**4*y - g**2*y - 658*g**2 - 757*g*y + 2*g - y + 1 wrt g.
2298159000*g*y
Differentiate 3266*k**2*m**3*o + 2*k**2*m**3 - 35*k**2*m - 3*k**2 - 2*k*m + 4702*m**3*o + 38798*m**3 + 2*m**2 with respect to o.
3266*k**2*m**3 + 4702*m**3
Find the second derivative of 28510053*k**2*u**2 - 626*k**2 + 278*k*u - 6*u wrt u.
57020106*k**2
What is the third derivative of 7388626*b**3 + 2023*b**2 - 6 wrt b?
44331756
Find the third derivative of -3*v**5 + 35025*v**4 - 2*v**3 - 385*v**2 - 2*v + 16 wrt v.
-180*v**2 + 840600*v - 12
What is the second derivative of -76814*f**5*l + 103*f**2*l**2 - 13809*f*l**2 - 2*f*l - l**2 - 10 wrt f?
-1536280*f**3*l + 206*l**2
Find the third derivative of -7294850*o**3 + 7616*o**2 - 75*o + 3.
-43769100
Differentiate -28748177*m**2 + 58237102 wrt m.
-57496354*m
What is the second derivative of 7486954*a**2 + 2999132*a - 2?
14973908
Find the first derivative of 61262872*w + 51284201 wrt w.
61262872
Find the second derivative of 457*c**3*f**3 - 9*c**3*f**2 - 33*c**2 - c*f**3 - 6*c*f**2 - 2412*c*f + 9*f**2 wrt c.
2742*c*f**3 - 54*c*f**2 - 66
What is the second derivative of -10048510*b*u**2 + 6*b*u + 2*u**2 - 759229*u wrt u?
-20097020*b + 4
Find the first derivative of 16634674*i**4 - 3065754 wrt i.
66538696*i**3
Find the second derivative of 2352*c**4 - 191*c**3 - 15*c**2 - 83398*c + 126.
28224*c**2 - 1146*c - 30
Differentiate -v*w**3 + 846561*v*w + 8372825*w**3 with respect to v.
-w**3 + 846561*w
Find the third derivative of 2014*i*n**3*r - 4623*i*n**2*r**3 + 4*i*n**2*r + 4*n**3*r**3 - 67*n**3 + 14*n**2*r**3 wrt n.
12084*i*r + 24*r**3 - 402
What is the second derivative of -13660*j*m**2*t**2 + 2*j*m*t - 43*j*t**2 - 42468*j - 2*m**3*t**2 + 4*m**3 + m*t wrt t?
-27320*j*m**2 - 86*j - 4*m**3
What is the second derivative of -23957949*f**5 - 69480946*f?
-479158980*f**3
Find the first derivative of -68966045*r**2 - 112793518.
-137932090*r
What is the third derivative of -2*r**4 - 69162*r**3 - 103248*r**2 + 8*r + 6 wrt r?
-48*r - 414972
Find the third derivative of -50046436*k**4*q + 11825*k**2 - 267*q wrt k.
-1201114464*k*q
Find the third derivative of -51245*q**3*y + 1853*q**3 + 21*q**2*y + 2652344*q**2 + 2*y wrt q.
-307470*y + 11118
What is the second derivative of -159617979*t**4 + 27079199*t + 2 wrt t?
-1915415748*t**2
Find the third derivative of -24244*k**5 - 9501607*k**2 wrt k.
-1454640*k**2
What is the third derivative of 2*d**6 + 2035762*d**4 + 4*d**2 - 7586*d - 7?
240*d**3 + 48858288*d
Differentiate -196*n**2*u**3 + 5773106*n**2 + 4236*u**3 with respect to u.
-588*n**2*u**2 + 12708*u**2
Find the third derivative of 8199191*a**3*k**3 + 9519893*a**3*k**2 + a**3 + 7*a**2*k**2 + 19*k**4 wrt k.
49195146*a**3 + 456*k
What is the third derivative of 3782340*i**2*u*v**3 - 37*i**2*u*v**2 - i**2*v**2 + 7*i**2 - 41*i*u*v**3 + 3*i*v - i + 16*v wrt v?
22694040*i**2*u - 246*i*u
What is the third derivative of -1303050315*t**3 + 890*t**2 + 1493*t + 67 wrt t?
-7818301890
Differentiate 234*t**4 - 15750*t - 13844430 wrt t.
936*t**3 - 15750
What is the second derivative of -2*q*w**2 + 382*q*w - 2*q + 44783*w**3 + 5992 wrt w?
-4*q + 268698*w
Find the second derivative of -140007*u**5 + 7*u**3 - 3*u**2 + 17675*u + 66.
-2800140*u**3 + 42*u - 6
What is the first derivative of -129*d**3 - 34*d**2 + 26377*d + 219350706 wrt d?
-387*d**2 - 68*d + 26377
What is the second derivative of -22971845*z**2 - 47673962*z?
-45943690
Find the third derivative of -57401146*d**5*t**2 - 2*d**2*t - 601*d**2 + 14*d*t - 13*t**2 + 33*t wrt d.
-3444068760*d**2*t**2
What is the third derivative of -1097786269*h**6 - 171480154*h**2?
-131734352280*h**3
What is the second derivative of 404151691*n**2 + 318921695*n wrt n?
808303382
Find the first derivative of -11*o**2 + 296023*o - 147291743.
-22*o + 296023
Differentiate -36933323*p**3 + 10840165 wrt p.
-110799969*p**2
Differentiate -147*r**3 + 79*r**2 - 1834*r - 371542563 with respect to r.
-441*r**2 + 158*r - 1834
Differentiate 2*y**3 + 10925041*y**2 - 2*y + 36248143.
6*y**2 + 21850082*y - 2
Find the third derivative of 6*g**4 + 163667*g**3 + 35584*g**2 + g - 100 wrt g.
144*g + 982002
Find the second derivativ | {
"pile_set_name": "DM Mathematics"
} |
m(u) = 5*u + 2. Let q(o) = -6*o - 3. Suppose 5*w + 3*y + 3 = 0, y - 5 = -1. Give w*m(r) - 2*q(r).
-3*r
Let u(i) = 8*i - 7. Let x(b) = -b**3 - 4*b**2 + 2*b + 3. Let s be x(-4). Let a(p) = -7*p + 6. What is s*u(f) - 6*a(f)?
2*f - 1
Let d(m) = -m**3 - m. Let v(h) = 19*h**3 + 7*h. Calculate -6*d(l) - v(l).
-13*l**3 - l
Let u(l) = 4*l + 2. Let z(n) = -17*n - 8. Suppose -4*b + 6 + 14 = 0, 0 = -3*p + b - 32. Determine p*u(g) - 2*z(g).
-2*g - 2
Suppose -5*d = -0*d - 30. Let g(i) = -5*i + 4*i + 8 + 0*i. Let w(h) = 0*h - 2*h + 5*h - 23. Give d*w(y) + 17*g(y).
y - 2
Let i(c) = -5*c**2 + 9*c - 8. Let a = 5 + -7. Let x = a - -4. Let d(k) = k**x + 8 + 2*k - 4*k - 6. Calculate -9*d(f) - 2*i(f).
f**2 - 2
Let m(f) = 16*f**3 - 2*f + 2. Let u(b) = -783*b**3 + 99*b - 99. Calculate -99*m(j) - 2*u(j).
-18*j**3
Let t(v) = 39*v + 117. Let s(x) = -3*x - 9. Determine 27*s(u) + 2*t(u).
-3*u - 9
Let v(m) be the first derivative of m**2 - m + 10. Let g(b) = 4*b - 2. What is -3*g(r) + 5*v(r)?
-2*r + 1
Let p be (-2)/12 + (-407)/(-66). Let m(s) = -s**3 - 6*s**2 + 6*s + 4. Let x(b) = b**3 + 5*b**2 - 5*b - 3. Determine p*x(l) + 5*m(l).
l**3 + 2
Let m(j) = 124*j - 59*j - 3*j**2 - 61*j. Let s(f) = -f**2 + 3*f - 4. Let t(n) = 2*n**2 - 4*n + 3. Let u(w) = 3*s(w) + 4*t(w). What is -7*m(p) - 4*u(p)?
p**2
Let k(u) = -u + 1. Let y(c) = c - 3. Calculate 6*k(g) + 2*y(g).
-4*g
Let q(i) = 61*i**3 - 6. Let k(v) = 60*v**3 - 7. What is -6*k(o) + 7*q(o)?
67*o**3
Suppose 4 = y - 1. Let n(j) = 3 - 3 + 3*j + y. Let o be 6*1 - 2/(-1). Let x(h) = h + 2. Give o*x(g) - 3*n(g).
-g + 1
Let t(y) = -2*y**3 + 3*y**2 - y. Let q(v) = 8*v**2 + 3*v - v - 9*v**2 - v. Calculate -2*q(r) - t(r).
2*r**3 - r**2 - r
Let z(c) = 2*c - 5 - 1 - 2 + 2. Let l(o) = -8. Let i(f) = -f + 1. Let m(r) = 3*i(r) - l(r). Calculate -4*m(v) - 7*z(v).
-2*v - 2
Let t(s) = s**3 + 6*s**2 + 11*s + 27. Let a be t(-5). Let w(c) = -4*c - 11. Let r(i) = 2*i + 5. Determine a*w(k) - 7*r(k).
-2*k - 2
Let n(x) = 6*x**2 - 11*x + 7. Let y(b) = 5*b**2 - 9*b + 6. Let i(o) = -4*n(o) + 5*y(o). Let l(f) = 2*f**2 + f + 1 - 3*f + 4. Give 9*i(j) - 4*l(j).
j**2 - j - 2
Let k(o) = -2*o - 2. Let f(x) be the third derivative of -5*x**4/24 - 2*x**3/3 - 6*x**2. Calculate -3*f(q) + 7*k(q).
q - 2
Let z(y) = 2*y**3 - 3*y**3 + 2 + 2 + 6*y**2 + 1. Let r(u) = -5*u**2 - 2 + 1 + 4*u**2. What is -6*r(s) - z(s)?
s**3 + 1
Let z(m) = 32*m + 3. Let b(c) = 16*c + 2. Let r(y) = -5*b(y) + 3*z(y). Let p = -15 - -17. Let w(d) = -2*d + d - p*d. Calculate 2*r(u) + 11*w(u).
-u - 2
Let h(j) = -3*j**3 + j**2 - 11*j + 4. Let g(t) = -5*t**3 + 2*t**2 - 17*t + 6. Calculate 5*g(m) - 8*h(m).
-m**3 + 2*m**2 + 3*m - 2
Let w(q) = 13 + q - 3 - 9 - 8*q. Let z(g) = 8*g - 1. Calculate 4*w(t) + 3*z(t).
-4*t + 1
Let p(x) = x**3 + 3*x**2 - 5*x + 3. Let c be p(-4). Let y(u) = u. Let i be y(c). Let k(g) = 2*g + 3. Let n(l) = -1 + 3*l - 9*l + 5*l. Calculate i*n(s) + 3*k(s).
-s + 2
Let g(l) = 22*l - 4*l - 20*l. Let q(r) = -r. Give -3*g(v) + 5*q(v).
v
Let w(k) = -5*k**2. Let g(u) = -16*u**2. Calculate -3*g(f) + 8*w(f).
8*f**2
Let k(w) = -w + 1. Let f(z) be the third derivative of z**4/3 - 2*z**3 + 2*z**2. Suppose 3*q - 8 - 43 = 0. Let b = 18 - q. Calculate b*f(y) + 10*k(y).
-2*y - 2
Let f be (-7 - -4) + 3 + -4. Let t(o) = o + 1. Let c(h) = -h**2 + 3*h + 2. Give f*t(i) + 2*c(i).
-2*i**2 + 2*i
Let k(w) = w + 16. Let b(c) = -1. Let j = -10 + 13. Let d(f) = 3. Let i(v) = j*d(v) + 12*b(v). Determine 11*i(u) + 2*k(u).
2*u - 1
Let s(w) = -21*w**3 + 16*w**2 + 5*w. Let i(g) = -4*g**3 + 3*g**2 + g. Give -11*i(m) + 2*s(m).
2*m**3 - m**2 - m
Suppose 2*h + 5*o = -0*h + 23, 15 = 5*o. Let r(a) = -5*a**2 + a + 5. Let p(w) = -6*w**2 + w + 6. What is h*r(k) - 3*p(k)?
-2*k**2 + k + 2
Let t(r) = -5*r**2 + 4*r. Let o = 6 + -5. Let c = -2 - 2. Let g(d) = -d**2 - d. Let x(k) = -k. Let y(v) = g(v) - 2*x(v). Determine c*y(p) + o*t(p).
-p**2
Let b(o) = -4*o + 1. Let d(g) = g - 1. Suppose -3*i - 2*q = 14, 3*i + 32 = -2*i + q. Give i*d(c) - 2*b(c).
2*c + 4
Let m(q) = -11*q + 15*q**3 - 5*q**2 - q**2 + 15 - 5*q**2 - 4. Let w(x) = 4*x**3 - 3*x**2 - 3*x + 3. Let d be 9*(0 - (-2)/(-3)). Give d*m(k) + 22*w(k).
-2*k**3
Let a(x) = 6*x**3 + 2*x**2 - 5*x - 2. Let j(z) = -13*z**3 - 5*z**2 + 11*z + 5. Determine 5*a(t) + 2*j(t).
4*t**3 - 3*t
Let c(u) = -2*u + 4. Let r(t) = 2*t - 3. Let y be ((-4)/(-10))/((-2)/(-10)). Let d = 185 - 182. Give d*r(l) + y*c(l).
2*l - 1
Let q(x) = 5*x**3 - 3*x**2 - 8. Let k(n) = -4*n**3 + 2*n**2 + 8. What is -3*k(p) - 2*q(p)?
2*p**3 - 8
Let c(g) = -g**2 - 4*g + 2. Let l(m) = m**2 + 7*m - 3. Determine 7*c(s) + 4*l(s).
-3*s**2 + 2
Let y(k) = -5*k**3 + 4*k**2 - 3*k - 3. Let b(g) = g**3 - g**2 + g + 1. Determine -3*b(f) - y(f).
2*f**3 - f**2
Let c(u) = u**3 - u. Let n(y) = -4*y**3 - y**2 + 6*y. Suppose 0 = -13*r + 8*r + 30. Calculate r*c(v) + n(v).
2*v**3 - v**2
Let m(f) = 5*f + 5. Let o(i) = 5*i + 5. What is 6*m(d) - 5*o(d)?
5*d + 5
Let w(m) = -1. Let j(p) = 3*p**3 - 2*p**2 - 3*p - 4. Determine -j(a) + 3*w(a).
-3*a**3 + 2*a**2 + 3*a + 1
Let q(p) = p**3 - 2*p**2 - 2*p. Let c(b) = 36*b + 3*b**3 + 39*b + 38*b - 118*b - 5*b**2. Suppose x = -3 + 5. Let l be (-4 + x - 0)*-1. What is l*c(h) - 5*q(h)?
h**3
Let n(p) = -96*p**2 - 11. Let o(g) = -64*g**2 - 7. Determine -5*n(u) + 8*o(u).
-32*u**2 - 1
Let w(l) = 198*l - 22. Let m(b) = -44*b + 5. What is -22*m(p) - 5*w(p)?
-22*p
Let d(m) = m**2 - 3*m. Let a be 3/2 + 3/2. Let y = a - -2. Suppose -y*o - 26 = 4*l, 0 = 2*o - 0*o - 5*l + 17. Let z(k) = k. Determine o*z(v) - 2*d(v).
-2*v**2
Let j(x) = -3*x**3 + x**2 - 4*x + 1. Let p(b) = -b**3 - b. Calculate -j(c) + 4*p(c).
-c**3 - c**2 - 1
Let l(r) = 11 + 7 - 3*r - 15. Let v(p) = -p**2 - p + 1. What is -l(z) + 3*v(z)?
-3*z**2
Let z(t) = -2*t - 4. Let o(q) = -4*q - 7. Determine 3*o(c) - 5*z(c).
-2*c - 1
Let k = -131 + 126. Let l(h) = 7*h - 7. Let r(d) = 6*d - 6. Calculate k*r(u) + 4*l(u).
-2*u + 2
Let x(v) = -v**3 - v**2 + v + 1. Let g(i) = -6*i**3 - 5*i**2 + 7*i + 2. What is -g(t) + 5*x(t)?
t**3 - 2*t + 3
Let u(g) = g**3 + g**2 - 1. Let m(r) = r**3 + 2*r**2 - 3*r - 2. Give -m(k) + 2*u(k).
k**3 + 3*k
Let u(j) = j. Let w be 58/(-4) + (-2)/4. Let y(m) = 16*m. Let s(b) = -53*b. Let g(r) = -4*s(r) - 14*y(r). What is w*u(v) - g(v)?
-3*v
Let z(c) = 15. Let i(j) = j**2 - 74. Determine 2*i(y) + 11*z(y).
2*y**2 + 17
Let z(l) = l**3 - 6*l**2 - 6*l - 10. Let p be z(7). Let j(i) = i + 2. Let f(o) = -2*o - 2. Calculate p*j(u) - 2*f(u).
u - 2
Let a(h) = h + 4. Let k(w) = 48 - 3*w + 2*w - 49. Calculate a(y) + 2*k(y).
-y + 2
Let u(r) = 3*r + 2. Let x be (-12)/7 + 4/(-14). Let k(j) = 13*j + 16. Let z(l) = -7*l - 9. Let m(n) = 3*k(n) + 5*z(n). Determine x*m(f) + 3*u(f).
f
Let l(q) = -1. Let t(k) = 4*k**2. Calculate -l(m) - t(m).
-4*m**2 + 1
Let p(o) = -6*o**3 + 4*o**2 - 4*o + 2. Let y(q) = 7*q**3 - 5*q**2 + 5*q - 3. Suppose 0 = -8*c - 7*c - 75. Give c*p(b) - 4*y(b).
2*b**3 + 2
Let f(p) be the second derivative of p**6/720 + p**4/4 - 3*p. Let l(k) be the third derivative of f(k). Let g(o) = 4*o - 1. Give -2*g(z) + 7*l(z).
-z + 2
Let m(v) = -17*v**3 - 11*v**2 + 11*v + 4. Let o(l) = -6*l**3 - 4*l**2 + 4*l + 1. Give 4*m(q) - 11*o(q).
-2*q**3 + 5
Let f(a) = 2*a**3 + 4*a + 2. Let c(t) = 3*t**3 + 5*t + 3. Let x(l) = 10 - 5 + 9*l**2 + 2*l**3 - 3*l**3. Let k be x(9). Give k*f(h) - 4*c(h).
-2*h**3 - 2
Suppose -4 = q - 0*q. Let w(s) = -4*s - 13. Let z(r) = 2*r. Let v(j) = 3*j + 1. Let h(a) = -3*v(a) + 4*z(a). Calculate q*w(y) + 18*h(y).
-2*y - 2
Let k(l) = 8*l**2 - 6*l + 9. Let u(r) = r**2 - r + 1. Give -k(i) + 6*u(i).
-2*i**2 - 3
Let d(x) = 4*x**2 - 5*x + 5. Let y = -49 - -48. Let t(j) = -j**2 + j - 1. Calculate y*d(l) - 5*t(l).
l**2
Let m(i) = -36*i**3 - 22. Let g(c) = -c**3 - 1. Determine 88*g(v) - 4*m(v).
56*v**3
Let b(u) = -2*u**3 + 5*u**2 + 5*u + 5. Let t(q) = q**3 - q**2 - q - 1. Calculate b(x) + 5*t(x).
3*x**3
Let j(z) be the first derivative of -3*z**2 - 8. Let a(u) = -17*u. Calculate -4*a(b) + 11*j(b).
2*b
Let n(r) = -1. Let a(f) = -f + 1. Calculate -4*a(z) - 4*n(z).
4*z
Let c(n) = -3*n**3 - 5*n - 2. Let s(g) = -13*g**3 - 20*g - 8. Determine 9*c(w) - 2*s(w).
-w**3 - 5*w - 2
Let u(h) = 3 + 6 - 4 - 3*h. Let g(m) be the first derivative of m**2 - 4*m - 7. Let a(o) = -o**2 + 3*o + 3. Let j be a(3). What is j*u(n) + 4*g(n)?
-n - 1
Let a(c) = c**2 + c. Let | {
"pile_set_name": "DM Mathematics"
} |
513 rounded to four dps?
-0.1265
What is -234840 rounded to the nearest ten thousand?
-230000
Round -0.00035171 to five decimal places.
-0.00035
Round 654.44 to the nearest 100.
700
Round -1893 to the nearest one thousand.
-2000
Round -434 to the nearest one hundred.
-400
Round -143670 to the nearest one thousand.
-144000
Round -0.011117 to three decimal places.
-0.011
Round 2.528 to the nearest integer.
3
What is -18259000 rounded to the nearest 100000?
-18300000
Round 0.016725 to 4 dps.
0.0167
What is 462190 rounded to the nearest 10000?
460000
Round 194.42 to zero dps.
194
Round 22690000 to the nearest one million.
23000000
What is -868 rounded to the nearest one hundred?
-900
Round -77410 to the nearest 10000.
-80000
Round 967920 to the nearest one thousand.
968000
What is 2320000 rounded to the nearest one million?
2000000
What is -0.000133965 rounded to 6 decimal places?
-0.000134
What is 1669.8 rounded to the nearest ten?
1670
Round -6250 to the nearest ten thousand.
-10000
Round 0.00000072568 to 7 decimal places.
0.0000007
Round -4.2388 to 0 dps.
-4
What is -0.00137725 rounded to four dps?
-0.0014
Round 0.0058 to 4 decimal places.
0.0058
Round -2503.4 to the nearest 10.
-2500
What is -19.7 rounded to 0 decimal places?
-20
Round 30.25 to the nearest integer.
30
Round 0.00002805 to 5 dps.
0.00003
Round -0.043221 to 4 dps.
-0.0432
Round 57248 to the nearest ten thousand.
60000
Round 0.00955 to four decimal places.
0.0096
Round -12900000 to the nearest 1000000.
-13000000
What is 527000 rounded to the nearest 100000?
500000
What is 415800 rounded to the nearest 10000?
420000
What is 0.00002305 rounded to five dps?
0.00002
Round -1805 to the nearest 100.
-1800
Round -28.615 to 1 dp.
-28.6
Round -1.871 to 1 decimal place.
-1.9
Round -721900 to the nearest ten thousand.
-720000
Round -657.24 to the nearest 100.
-700
What is -64850000 rounded to the nearest 1000000?
-65000000
What is -3128200 rounded to the nearest one hundred thousand?
-3100000
Round -0.194655 to 3 dps.
-0.195
What is 117.3 rounded to the nearest 10?
120
What is 533.4 rounded to the nearest 100?
500
Round -0.000000217 to seven dps.
-0.0000002
Round -0.065664 to 2 dps.
-0.07
What is 2175.8 rounded to the nearest one hundred?
2200
Round -1050 to the nearest one hundred.
-1100
What is -0.000022969 rounded to 5 decimal places?
-0.00002
Round 42.74 to the nearest integer.
43
Round -13430 to the nearest one hundred.
-13400
What is -1.065 rounded to the nearest integer?
-1
What is 14.1353 rounded to 2 dps?
14.14
What is -0.0000000409 rounded to seven dps?
0
What is -0.77349 rounded to three dps?
-0.773
Round 564470 to the nearest one thousand.
564000
What is 1108920 rounded to the nearest ten thousand?
1110000
Round 16834000 to the nearest 100000.
16800000
What is -83.9 rounded to the nearest integer?
-84
Round 0.01203 to three dps.
0.012
What is 0.71113 rounded to two dps?
0.71
What is -0.017329 rounded to 4 decimal places?
-0.0173
What is -252080 rounded to the nearest one thousand?
-252000
What is -284.6 rounded to the nearest 10?
-280
Round 0.0087983 to 3 dps.
0.009
What is 0.00009037 rounded to five decimal places?
0.00009
What is -0.000267 rounded to 3 dps?
0
Round -0.000000602 to 7 decimal places.
-0.0000006
Round -0.47771 to 2 dps.
-0.48
What is -974.27 rounded to the nearest ten?
-970
What is 1993000 rounded to the nearest 100000?
2000000
Round -0.003679 to four dps.
-0.0037
What is 265400000 rounded to the nearest one million?
265000000
What is 1.88791 rounded to two dps?
1.89
Round 89.9 to the nearest ten.
90
Round -0.4215 to one decimal place.
-0.4
Round -3505000 to the nearest one million.
-4000000
Round 0.015328 to four dps.
0.0153
Round 26203 to the nearest ten thousand.
30000
What is -0.00000054577 rounded to seven decimal places?
-0.0000005
Round 11990000 to the nearest 100000.
12000000
What is 19700 rounded to the nearest 10000?
20000
What is 248 rounded to the nearest 100?
200
What is 0.002475 rounded to 4 dps?
0.0025
What is -0.01065 rounded to three dps?
-0.011
Round -0.00012043 to 6 dps.
-0.00012
Round -0.00026487 to six dps.
-0.000265
What is 0.000026038 rounded to seven dps?
0.000026
Round -131.8 to the nearest ten.
-130
Round -0.9727 to one dp.
-1
Round 0.0000009937 to 7 dps.
0.000001
What is 1305.71 rounded to the nearest ten?
1310
Round -109.42 to the nearest ten.
-110
What is 125300000 rounded to the nearest one million?
125000000
Round 47.138 to one dp.
47.1
Round -3959.6 to the nearest 10000.
0
Round -4920 to the nearest 100.
-4900
Round 0.000010832 to 6 dps.
0.000011
Round -33.06 to the nearest 10.
-30
What is 260.555 rounded to the nearest 10?
260
What is 21.63 rounded to the nearest integer?
22
What is 5.41 rounded to one dp?
5.4
Round 239.24 to the nearest 10.
240
What is 0.005682 rounded to 3 dps?
0.006
What is -57360 rounded to the nearest 1000?
-57000
What is 0.001846 rounded to 4 dps?
0.0018
Round -466.6 to the nearest 10.
-470
Round -2427000 to the nearest one hundred thousand.
-2400000
What is -13.319 rounded to 0 dps?
-13
What is 0.00000102649 rounded to 7 dps?
0.000001
Round -7315 to the nearest one thousand.
-7000
Round -357.3 to the nearest 100.
-400
Round -0.5142 to 1 dp.
-0.5
Round 0.00000331 to seven dps.
0.0000033
Round 0.00007956 to 6 decimal places.
0.00008
Round -34.095 to one decimal place.
-34.1
What is 0.0000258687 rounded to seven dps?
0.0000259
Round 1740000 to the nearest 100000.
1700000
Round -370100 to the nearest 10000.
-370000
Round 0.0000013394 to 7 decimal places.
0.0000013
Round -7.2551 to the nearest integer.
-7
Round -0.00001864 to 6 dps.
-0.000019
Round -0.00005148 to five decimal places.
-0.00005
Round -261760 to the nearest 10000.
-260000
Round -0.000008027 to 6 dps.
-0.000008
What is 357520000 rounded to the nearest one million?
358000000
What is 0.04691 rounded to 2 dps?
0.05
What is 0.015132 rounded to three dps?
0.015
Round 1338.5 to the nearest 100.
1300
What is -0.001447 rounded to 4 decimal places?
-0.0014
What is 4772 rounded to the nearest one hundred?
4800
Round 0.008247 to three dps.
0.008
What is 125.063 rounded to the nearest 10?
130
What is -0.0000020979 rounded to seven dps?
-0.0000021
What is -1.10069 rounded to two decimal places?
-1.1
What is 0.000002755 rounded to 6 decimal places?
0.000003
Round -0.0015556 to 5 dps.
-0.00156
Round 787.64 to the nearest one hundred.
800
Round -0.00002015 to six decimal places.
-0.00002
What is -0.0001858 rounded to 5 dps?
-0.00019
Round -9778 to the nearest 1000.
-10000
What is -0.000035629 rounded to six dps?
-0.000036
Round 688000 to the nearest 10000.
690000
Round 0.00021897 to five decimal places.
0.00022
Round -0.002285 to 3 decimal places.
-0.002
What is -386.3 rounded to the nearest 10?
-390
What is -42.67 rounded to the nearest integer?
-43
What is -0.0000006355 rounded to 7 dps?
-0.0000006
What is -0.00023954 rounded to four dps?
-0.0002
Round -0.0012703 to five decimal places.
-0.00127
What is -124.49 rounded to the nearest ten?
-120
What is -10553000 rounded to the nearest 100000?
-10600000
Round -14070 to the nearest 1000.
-14000
What is -1.058 rounded to two decimal places?
-1.06
What is 9.79 rounded to 0 decimal places?
10
Round 0.0141192 to five decimal places.
0.01412
Round -0.0000010882 to seven decimal places.
-0.0000011
Round 2156 to the nearest 100.
2200
What is -73540000 rounded to the nearest 1000000?
-74000000
What is 1.2258 rounded to 1 decimal place?
1.2
What is -592220000 rounded to the nearest 1000000?
-592000000
Round -5041 to the nearest 100.
-5000
Round -199819 to the nearest 1000.
-200000
What is -1215200 rounded to the nearest one hundred thousand?
-1200000
Round 23180000 to the nearest 1000000.
23000000
What is 3391000 rounded to the nearest 100000?
3400000
Round -97390 to the nearest 10000.
-100000
What is -2264 rounded to the nearest one hundred?
-2300
Round 0.0101 to two decimal places.
0.01
Round 0.0004285 to five dps.
0.00043
What is -179.45 rounded to the nearest ten?
-180
What is -0.00235639 rounded to four dps?
-0.0024
Round 0.06925 to 2 decimal places.
0.07
Round 11.43 to the nearest integer.
11
Round 7.0411 to two dps.
7.04
Round -0.0030034 to 3 dps.
-0.003
What is 0.357 rounded to the nearest integer?
0
Round -0.000 | {
"pile_set_name": "DM Mathematics"
} |
thout replacement from dddddydyd?
1/36
Two letters picked without replacement from erqrrereryqr. What is prob of sequence ye?
1/44
Calculate prob of sequence rz when two letters picked without replacement from {z: 7, d: 9, r: 3}.
7/114
Two letters picked without replacement from swwwooiwwowhnonhowo. What is prob of sequence nw?
7/171
Two letters picked without replacement from {a: 2, n: 2, v: 1, u: 1, h: 2}. What is prob of sequence aa?
1/28
Three letters picked without replacement from ryyeosn. What is prob of sequence rsy?
1/105
What is prob of sequence pi when two letters picked without replacement from iiiidpddpip?
3/22
Calculate prob of sequence ttst when four letters picked without replacement from {t: 6, s: 5, x: 2}.
5/143
Calculate prob of sequence coc when three letters picked without replacement from ccccccccoccoc.
5/39
Three letters picked without replacement from eoxxxsssdooxoeoxoosx. Give prob of sequence ees.
1/855
Two letters picked without replacement from {i: 2, g: 1, v: 4}. What is prob of sequence ig?
1/21
Calculate prob of sequence lll when three letters picked without replacement from lltl.
1/4
Four letters picked without replacement from kukrykrk. Give prob of sequence rkry.
1/210
Calculate prob of sequence nkkk when four letters picked without replacement from {k: 5, s: 2, n: 3}.
1/28
Four letters picked without replacement from wiwwswwwipiw. What is prob of sequence wips?
7/3960
Calculate prob of sequence bbx when three letters picked without replacement from {x: 9, b: 10}.
45/323
Calculate prob of sequence coc when three letters picked without replacement from {o: 3, c: 3}.
3/20
Calculate prob of sequence ee when two letters picked without replacement from eie.
1/3
Three letters picked without replacement from {y: 2, u: 2, c: 1, m: 1}. What is prob of sequence myu?
1/30
What is prob of sequence kd when two letters picked without replacement from drkrrpprd?
1/36
Calculate prob of sequence jlhj when four letters picked without replacement from {l: 8, h: 3, j: 5}.
1/91
Calculate prob of sequence ck when two letters picked without replacement from cckkkckckcccc.
10/39
Four letters picked without replacement from {q: 10, t: 1, w: 6}. What is prob of sequence wqqt?
9/952
Calculate prob of sequence zw when two letters picked without replacement from uiimuzw.
1/42
Four letters picked without replacement from {z: 1, w: 2, h: 1, d: 1, v: 2, r: 2}. Give prob of sequence zwvh.
1/756
What is prob of sequence jv when two letters picked without replacement from nvjvv?
3/20
Two letters picked without replacement from {z: 4, l: 2, v: 1, h: 1, c: 2}. Give prob of sequence zv.
2/45
Calculate prob of sequence ett when three letters picked without replacement from ett.
1/3
Calculate prob of sequence wwe when three letters picked without replacement from {f: 1, u: 3, j: 3, e: 3, a: 4, w: 2}.
1/560
Three letters picked without replacement from {d: 2, i: 7, a: 1, w: 7}. What is prob of sequence wwa?
7/680
Four letters picked without replacement from {r: 4, k: 3, u: 2}. What is prob of sequence krku?
1/63
Two letters picked without replacement from mgygacy. What is prob of sequence ym?
1/21
What is prob of sequence uq when two letters picked without replacement from {p: 2, q: 4, e: 7, u: 2, d: 1}?
1/30
Three letters picked without replacement from fmhmfdmfffbbff. Give prob of sequence mfb.
1/52
Two letters picked without replacement from hhhhhhhhhhhhhhhhhs. What is prob of sequence hs?
1/18
Three letters picked without replacement from ammma. Give prob of sequence amm.
1/5
Four letters picked without replacement from {w: 4, p: 7, n: 2}. What is prob of sequence ppnn?
7/1430
Calculate prob of sequence ve when two letters picked without replacement from {v: 1, a: 2, e: 1, c: 1}.
1/20
Two letters picked without replacement from uul. Give prob of sequence lu.
1/3
Calculate prob of sequence vvc when three letters picked without replacement from vvvvvvvvvvvvvvvvccvv.
17/190
Two letters picked without replacement from baaayfpfa. Give prob of sequence yf.
1/36
Three letters picked without replacement from iiiiepiippiiiii. What is prob of sequence iep?
11/910
What is prob of sequence wgd when three letters picked without replacement from ggdggggggwddd?
8/429
Two letters picked without replacement from fgauujw. What is prob of sequence aj?
1/42
Three letters picked without replacement from ztuuuzzzutuu. What is prob of sequence tzz?
1/55
Calculate prob of sequence td when two letters picked without replacement from {d: 4, t: 10}.
20/91
Three letters picked without replacement from avvavvvavvavvvvvvav. Give prob of sequence aaa.
10/969
Three letters picked without replacement from {a: 2, o: 1, l: 1, v: 2, e: 4, g: 2}. Give prob of sequence aol.
1/660
Two letters picked without replacement from viivvzvxvvvii. What is prob of sequence iz?
1/39
Two letters picked without replacement from {m: 3, z: 1, h: 1, i: 1, f: 1}. What is prob of sequence mi?
1/14
Calculate prob of sequence rxrg when four letters picked without replacement from {x: 4, r: 2, g: 2}.
1/105
What is prob of sequence lzzz when four letters picked without replacement from {z: 1, w: 2, l: 4, p: 9}?
0
Four letters picked without replacement from {y: 13, c: 5}. Give prob of sequence ccyy.
13/306
Three letters picked without replacement from bbkbkbbbbeek. Give prob of sequence beb.
7/110
Three letters picked without replacement from kknnnnkn. Give prob of sequence nkn.
5/28
Three letters picked without replacement from {h: 3, v: 2}. Give prob of sequence hvh.
1/5
Two letters picked without replacement from klkllllkkllklllkll. What is prob of sequence kl?
4/17
Two letters picked without replacement from {s: 2, e: 2}. What is prob of sequence ss?
1/6
Two letters picked without replacement from {v: 7, e: 2, b: 1}. Give prob of sequence ve.
7/45
Two letters picked without replacement from {l: 1, a: 2, j: 3, b: 5, d: 7}. Give prob of sequence dj.
7/102
Three letters picked without replacement from {q: 1, v: 2, c: 1, g: 2, m: 1, l: 1}. What is prob of sequence gmg?
1/168
What is prob of sequence yeoe when four letters picked without replacement from yepopdfeppepopdep?
1/2380
Calculate prob of sequence skbk when four letters picked without replacement from {s: 1, b: 2, k: 2}.
1/30
Three letters picked without replacement from iiiiiiittiittiiiiti. Give prob of sequence tit.
140/2907
What is prob of sequence ee when two letters picked without replacement from hezzezhhzdzzzzzdzze?
1/57
Three letters picked without replacement from cdcpttttm. Give prob of sequence mtt.
1/42
Calculate prob of sequence om when two letters picked without replacement from pemppoopoaomaoeoapp.
2/57
Two letters picked without replacement from {r: 1, w: 1, d: 3, k: 1, e: 1}. What is prob of sequence re?
1/42
Two letters picked without replacement from {y: 3, f: 2, l: 3, k: 1, b: 4, w: 2}. What is prob of sequence lw?
1/35
Three letters picked without replacement from {q: 1, p: 3, j: 1, u: 1, k: 1}. What is prob of sequence kpu?
1/70
What is prob of sequence qr when two letters picked without replacement from {a: 1, e: 1, t: 1, q: 1, r: 3}?
1/14
Four letters picked without replacement from uvuvuvvvvvvfvvvvv. Give prob of sequence uvuv.
39/2380
Three letters picked without replacement from yabsbbsbsyxa. What is prob of sequence xsb?
1/110
Two letters picked without replacement from {c: 3, u: 6, p: 3, f: 1}. What is prob of sequence cf?
1/52
Two letters picked without replacement from sffffffffssffs. What is prob of sequence sf?
20/91
What is prob of sequence nnn when three letters picked without replacement from {t: 5, n: 3}?
1/56
Three letters picked without replacement from xgmkgjxm. What is prob of sequence kgm?
1/84
What is prob of sequence svs when three letters picked without replacement from ssvsccssvcvc?
1/22
Four letters picked without replacement from {v: 4}. Give prob of sequence vvvv.
1
Calculate prob of sequence fj when two letters picked without replacement from dffrfujuf.
1/18
Calculate prob of sequence kwk when three letters picked without replacement from {p: 6, k: 5, w: 2}.
10/429
Two letters picked without replacement from {i: 1, c: 2, f: 3, r: 1, u: 6}. What is prob of sequence uu?
5/26
Two letters picked wi | {
"pile_set_name": "DM Mathematics"
} |
st common multiple of 84111 and 33258?
40541502
What is the common denominator of 51/989 and 16/31567375?
726049625
Calculate the common denominator of 87/265156 and 19/2913092.
1278847388
Find the common denominator of 59/8 and 43/27535850.
110143400
What is the smallest common multiple of 177021 and 918?
1062126
Calculate the least common multiple of 5039570 and 238514.
156226670
Calculate the smallest common multiple of 723885 and 75.
3619425
What is the common denominator of 191/18480 and 109/20202?
8888880
Calculate the lowest common multiple of 36045160 and 200.
180225800
What is the smallest common multiple of 722462 and 1703?
94642522
What is the smallest common multiple of 1990086 and 1176?
7960344
Calculate the common denominator of -29/15786528 and -101/1973316.
15786528
Calculate the common denominator of -59/13178 and 69/19514222.
214656442
What is the smallest common multiple of 1176254 and 21172572?
21172572
What is the common denominator of -113/280 and -62/935025?
7480200
Find the common denominator of -61/35766630 and -113/18280722.
822632490
Calculate the lowest common multiple of 42 and 420.
420
Find the common denominator of -31/102144 and -151/3618048.
68742912
What is the lowest common multiple of 12609771 and 214366107?
214366107
What is the lowest common multiple of 324 and 427032?
427032
What is the common denominator of 1/79130121 and -5/158260242?
158260242
Calculate the least common multiple of 696208 and 5088.
4177248
Calculate the least common multiple of 84 and 10367.
124404
What is the common denominator of 44/87 and -133/16405764?
16405764
What is the least common multiple of 28506 and 31480126?
94440378
What is the smallest common multiple of 600642 and 882?
600642
What is the least common multiple of 612 and 56664162?
113328324
Calculate the common denominator of 151/3536808 and 4/99.
10610424
Calculate the common denominator of -72/175 and -95/3715348.
92883700
What is the lowest common multiple of 19444660 and 6?
58333980
What is the least common multiple of 61440 and 8133?
166563840
Calculate the lowest common multiple of 3145506 and 14814.
9436518
Calculate the smallest common multiple of 22360473 and 14906982.
44720946
What is the common denominator of -10/15630563 and 64/8005?
78152815
What is the common denominator of -163/22610 and 9/326116?
27719860
Find the common denominator of -109/12 and 61/580936958.
3485621748
What is the common denominator of 101/1579572 and -25/14003172?
1246282308
What is the common denominator of -91/1010000 and -43/16160?
2020000
Calculate the lowest common multiple of 5897316 and 20.
29486580
Calculate the common denominator of -13/44044350 and -17/3500.
440443500
What is the least common multiple of 46433372 and 84?
975100812
Find the common denominator of 59/333 and -25/12302241.
36906723
Calculate the smallest common multiple of 45419400 and 93600.
181677600
What is the common denominator of -93/4 and -115/7132062?
14264124
Find the common denominator of 43/450 and -17/5812425.
11624850
Calculate the common denominator of 1/215237 and -62/3355165.
57037805
What is the common denominator of -93/6748738 and -37/433?
6748738
What is the common denominator of -117/89110 and 53/236075?
31634050
Calculate the common denominator of -83/60710 and -76/675.
8195850
What is the common denominator of 69/10 and -97/37292732?
186463660
What is the common denominator of 11/136 and -47/2073751?
282030136
What is the smallest common multiple of 35 and 4357535?
4357535
Find the common denominator of 35/40296 and -77/22776.
523848
Calculate the common denominator of 19/704718 and -193/7854.
7751898
What is the common denominator of 37/2101840 and -73/80920840?
161841680
What is the smallest common multiple of 42 and 1622982?
11360874
Calculate the least common multiple of 913 and 19414.
17724982
Find the common denominator of 35/1206272 and -91/1116.
10856448
Calculate the smallest common multiple of 1803080 and 15.
5409240
What is the common denominator of -5/18 and 101/516816?
516816
Find the common denominator of 63/53105 and 35/424.
22516520
Calculate the least common multiple of 1029330 and 2367459.
23674590
What is the smallest common multiple of 41977680 and 228?
797575920
Find the common denominator of -91/41889030 and 49/3.
41889030
What is the common denominator of 139/39240 and 29/17916330?
214995960
Find the common denominator of -9/712 and 97/72.
6408
What is the smallest common multiple of 513796 and 44?
5651756
What is the smallest common multiple of 8 and 10032244?
20064488
Find the common denominator of 125/261804 and -73/99921860.
299765580
What is the smallest common multiple of 2624319 and 8145?
13121595
What is the common denominator of -169/990 and -155/6174?
339570
What is the common denominator of 113/40 and -143/44970768?
224853840
What is the lowest common multiple of 150 and 138204720?
691023600
What is the smallest common multiple of 1898171 and 1553049?
17083539
What is the common denominator of -7/126368 and 53/18874?
1192534816
Calculate the least common multiple of 751564 and 1860.
11273460
Calculate the least common multiple of 47901 and 1134.
2586654
What is the smallest common multiple of 4295160 and 6642?
12885480
What is the common denominator of -91/1208 and 163/6371898?
25487592
Calculate the least common multiple of 80326 and 30294.
1216697922
What is the least common multiple of 21450 and 27950?
922350
What is the lowest common multiple of 22159959 and 199439631?
199439631
Calculate the least common multiple of 10275608 and 41102432.
41102432
What is the common denominator of -31/5539620 and 107/2215848?
11079240
What is the lowest common multiple of 4902 and 106320?
86863440
What is the common denominator of 25/114 and -37/611913?
23252694
Find the common denominator of 7/15 and -143/1170174.
5850870
What is the common denominator of 101/2253966 and 83/57720?
45079320
What is the smallest common multiple of 4454 and 17405446?
295892582
Calculate the least common multiple of 59480 and 790.
4698920
What is the lowest common multiple of 6090 and 1389540?
282076620
What is the lowest common multiple of 8021800 and 28076300?
56152600
What is the common denominator of 1/8154918 and 37/162?
8154918
Calculate the smallest common multiple of 21 and 4445868.
4445868
Calculate the smallest common multiple of 1864746 and 78.
1864746
Calculate the common denominator of 58/1881 and 34/119491.
11829609
Calculate the common denominator of 39/2660707 and 107/12.
31928484
Find the common denominator of -38/757 and 37/2271.
2271
What is the least common multiple of 69766 and 3772?
131578676
What is the common denominator of 9/208803010 and 7/10?
208803010
Calculate the common denominator of 109/20174 and -79/1456.
2098096
What is the common denominator of -11/27 and -53/237660?
2138940
Calculate the common denominator of -49/4521330 and -16/675.
67819950
Find the common denominator of 33/168316 and 125/144768.
210058368
What is the least common multiple of 80484 and 246187142?
1477122852
Calculate the smallest common multiple of 3745238 and 51.
191007138
Calculate the least common multiple of 10183040 and 15680.
71281280
Find the common denominator of -49/398112 and 167/1255584.
16322592
What is the common denominator of 15/8499904 and -5/25499712?
25499712
What is the common denominator of 47/376454 and 11/1872?
27104688
What is the common denominator of 137/48 and -7/1582512?
1582512
Find the common denominator of 29/8 and -33/11900716.
23801432
Calculate the smallest common multiple of 2888 and 658084.
25007192
Calculate the common denominator of 49/3328 and -47/843440.
13495040
What is the common denominator of 23/184068 and 77/240?
3681360
Calculate the common denominator of -71/55400 and -103/72560150.
290240600
Calculate the common denominator of 13/20688203 and 59/344.
165505624
Calculate the least common multiple of 4989 and 104937.
174510231
Find the common denominator of -61/47840 and -1/3430128.
34301280
What is the least common multiple of 88636 and 48480?
1074268320
Calculate the common denominator of 27/658 and 89/55452.
18243708
What is the common denominator of 31/11340 and -167/58140?
3662820
Calculate the lowest common multiple of 12 and 73 | {
"pile_set_name": "DM Mathematics"
} |
2 - 55*u. Determine -3*q(x) - 165*w(x).
33*x**2
Let x(b) = b**2 - 2*b - 40. Let g be x(-5). Let z(h) = -h**2 - 2*h + 2. Suppose u - 3 = -1. Let f(j) = -3*j**2 - 5*j + 5. What is g*z(q) + u*f(q)?
-q**2
Let s(u) = -u**2 + u + 2. Let n(q) = 2*q**2 + 7*q + 9. Give n(b) - 4*s(b).
6*b**2 + 3*b + 1
Let q(j) = -j**3 + 1147*j**2 + 11*j - 7. Let g(a) = 382*a**2 + 3*a - 2. What is -7*g(h) + 2*q(h)?
-2*h**3 - 380*h**2 + h
Let l(z) = 2*z + 3. Let p(i) = 326*i - 38. Give 12*l(f) + p(f).
350*f - 2
Let p(l) = l - 4. Let c(k) = 1. Let g(w) = -4*c(w) - p(w). Let v(s) = -3*s**3 - 2*s**2 - 5*s + 1. Calculate -5*g(b) + v(b).
-3*b**3 - 2*b**2 + 1
Let v(j) = 4*j**3 + 4. Let r be (6/(4*1/(-2)))/(-3). Let z(n) = -n**3 - 1. Calculate r*v(d) + 3*z(d).
d**3 + 1
Let r(b) = -79*b + 2. Let g(i) = 41*i - 2. Let c(t) = -4*g(t) - 2*r(t). Let u(x) = -5 - 6*x + 0*x + 8. Calculate 3*c(p) - 4*u(p).
6*p
Let b(c) be the third derivative of c**5/30 + c**4/8 - c**3/2 - 178*c**2. Let k(v) = 3*v**2 + 4*v - 4. Determine -5*b(n) + 4*k(n).
2*n**2 + n - 1
Let a(z) = 3*z**2 - 4*z + 4. Let u(v) = 3*v**2 - 5*v + 5. Suppose -51*m - 248 = -44. Give m*a(o) + 3*u(o).
-3*o**2 + o - 1
Let q(d) = 162620*d**3 - 1903*d**2 - 1903*d - 1903. Let c(v) = -171*v**3 + 2*v**2 + 2*v + 2. Determine -1903*c(z) - 2*q(z).
173*z**3
Let y(h) = 7*h**2 - 2*h - 4. Let v(x) be the first derivative of x**3/3 - x + 459. What is 6*v(d) - y(d)?
-d**2 + 2*d - 2
Let v(r) be the first derivative of -r**2/2 + 295. Let m(g) = 4*g - 1. Determine -m(l) - 2*v(l).
-2*l + 1
Let u(c) = -7*c - 11. Let d(s) = -3*s - 5. Suppose -6*x + 12 = -2*x. Let j(g) = -4 - g + x*g - g - 2*g. Let t be j(0). Calculate t*u(q) + 9*d(q).
q - 1
Let x(v) = -4*v**2. Let n(u) = 5*u - 5*u + 3*u**2. Let h = 8306 + -8304. Determine h*x(i) + 3*n(i).
i**2
Let c(b) = -b**2 - 2*b - 2. Let s(o) be the first derivative of -2*o**3/3 - 3*o**2 - 5*o + 714. What is 11*c(a) - 4*s(a)?
-3*a**2 + 2*a - 2
Let o be 7 + (-1 + 4 - 4). Suppose 0 = -5*u + o*u - 5. Let m(h) = -6*h**3 - 7*h**2 + 3. Let t(x) = -5*x**3 - 6*x**2 + 2. Give u*t(r) - 4*m(r).
-r**3 - 2*r**2 - 2
Let t(q) = -44*q**3 - 4*q**2 - 19*q - 8. Let n(p) = 43*p**3 + 3*p**2 + 16*p + 6. Calculate 4*n(w) + 3*t(w).
40*w**3 + 7*w
Let u(y) be the third derivative of -y**6/60 - y**5/30 + y**4/8 - y**3/2 + 31*y**2 + y. Let l(t) = t**3 + 2*t**2 - 3*t + 2. Give -3*l(i) - 2*u(i).
i**3 - 2*i**2 + 3*i
Let t(i) = 16*i + 19. Let k(o) = 9*o + 11. Let r(x) = -7*k(x) + 4*t(x). Let f(v) = 2*v**2 - 5*v + 6. Calculate -f(d) - 6*r(d).
-2*d**2 - d
Let j(r) = 11*r**2 + 6*r - 17. Let u(p) = -17*p**2 - 9*p + 26. Calculate 8*j(b) + 5*u(b).
3*b**2 + 3*b - 6
Let l(k) = -47*k**3 + 2*k**2 - 4*k - 10. Let r(a) = -71*a**3 + 2*a**2 - 6*a - 16. Determine -8*l(x) + 5*r(x).
21*x**3 - 6*x**2 + 2*x
Suppose 0 = 4*g - 1 - 7. Let h(s) = -4*s + 29 + s**g - 22 - 7*s**2 - 8*s**3. Let d(f) = 7*f**3 + 5*f**2 + 3*f - 6. What is 6*d(q) + 5*h(q)?
2*q**3 - 2*q - 1
Let j(o) = -o - 22. Let g(n) = n - 21. Determine -3*g(k) + 2*j(k).
-5*k + 19
Let y(m) = -m**3 - 5*m**2 + 1. Let i(o) = -5*o**3 - 26*o**2 + 4. Suppose 0 = -3*s + 4*n - 53, 0 = s - 14*n + 13*n + 16. Give s*y(j) + 2*i(j).
j**3 + 3*j**2 - 3
Let n(t) = 6*t**3 - 3. Let k be 63/28 + 3/4. Let v be ((-3)/6)/(k/(-6)). Let b(y) = 3*y**2 - v - 2*y**3 + 3*y**3 - 3*y**2. What is -3*b(p) + n(p)?
3*p**3
Let j(h) = h**3 - h + 1. Let y(n) be the first derivative of 2*n**4 - 5*n**2/2 + 5*n + 95. Give -15*j(l) + 3*y(l).
9*l**3
Let u(p) = 265*p**3 - 3*p**2 + 11*p + 24. Let y(c) = -88*c**3 + c**2 - 4*c - 9. Give -3*u(q) - 8*y(q).
-91*q**3 + q**2 - q
Let f(i) = 26*i. Let q(z) = 27*z + 2. Determine -6*f(b) + 5*q(b).
-21*b + 10
Let y(z) = z. Let n(f) = -f**2 + f - 1. Let x(c) = 7*c**2 + 3*c + 2. Let j(i) = 3*n(i) + x(i). Calculate j(o) - 6*y(o).
4*o**2 - 1
Let c = -108 + 108. Let j(w) = 0 - 50*w + c + 49*w. Let u(y) = 2*y**3 + y**2 + 9*y. Determine 18*j(d) + 2*u(d).
4*d**3 + 2*d**2
Let z be (2 - 1)*(1 + 0). Let g(u) = 6*u - 1. Let w(s) = -6*s + 1. Let c(v) = -37*v + 6. Let n(b) = -c(b) + 6*w(b). Determine z*g(a) - 5*n(a).
a - 1
Let u(d) = d**2 - 10*d - 2. Suppose 5*b + 635 = 590. Let r(s) = -5*s**2 + 41*s + 9. Calculate b*u(j) - 2*r(j).
j**2 + 8*j
Let t(h) = -1 + 2*h - 2*h - h - 2*h + 3*h**2. Let b(z) = 2*z**2 - 4*z**3 + 0*z**2 + 2*z**3 + 3*z**3 - 2*z. Calculate 3*b(q) - 2*t(q).
3*q**3 + 2
Let w(n) = -9*n - 139. Let x(q) = 11*q + 140. Calculate -6*w(t) - 5*x(t).
-t + 134
Let i(p) = 37*p**3 + 7*p**2. Let a(l) = 18*l**3 + 4*l**2. What is 9*a(q) - 5*i(q)?
-23*q**3 + q**2
Let c(k) = -3*k + 7. Let a(z) = -z + 1. Let o(d) = -10*a(d) + 2*c(d). Suppose h - 10 = 4*j, 3*h - h = -3*j - 13. Let b(g) = -4*g - 5. Determine j*b(m) - 4*o(m).
-4*m - 1
Let r(y) = 28*y + 3. Let x(p) = -140*p - 17. Give 11*r(i) + 2*x(i).
28*i - 1
Let g(n) be the second derivative of 0*n**3 + 1/2*n**2 - 50*n + 0 + 1/12*n**4 + 1/20*n**5. Let d(a) = -a**3 + 5*a**2 + 5. Calculate -d(i) + 5*g(i).
6*i**3
Suppose -o + 5*q = -6 - 4, 4*q + 37 = -5*o. Let a(r) = 7*r + 6. Let v(l) = -9 - 8*l - 10 + 35 - 10 - 13. Give o*v(s) - 6*a(s).
-2*s - 1
Let i(h) = -h**3 - 5*h**2 + 2*h. Let j(d) = -3*d**3 - 10*d**2 + 4*d + 1. Calculate -5*i(v) + 2*j(v).
-v**3 + 5*v**2 - 2*v + 2
Let r(b) = -17*b**2 + 3*b - 2. Suppose 29*t - 12*t = -17. Let a(u) = -u. Calculate t*r(v) - 3*a(v).
17*v**2 + 2
Let j(l) = l - 1. Let x(n) = 5*n + 6*n + 12 + 0*n - 5 - 16*n. Suppose 3 = -3*z - 9. Determine z*j(c) - x(c).
c - 3
Let r(y) = 5*y. Suppose 15 + 0 = 5*z. Let u(o) be the third derivative of o**4/4 - o**2. Let j(x) = 12*x + 574. Let w be j(-48). What is w*u(f) + z*r(f)?
3*f
Let y(s) = s + 4. Let l(z) = -1. Let k = -3 + 6. Suppose 2*v + 13 = 3*h, -4*v + 5 = -2*h + 11. Suppose v = k*a + 4. Determine a*y(r) - 2*l(r).
-r - 2
Let b(t) = -7*t**3 - 3*t + 3. Let j(f) = 30*f + 19*f + 76*f**3 + 28*f - 15 - 17 - 45*f. Suppose 3*u = -2*v - 92, 11 = 4*v + 3. Calculate u*b(s) - 3*j(s).
-4*s**3
Let i(u) = -7*u**2 + 7*u + 10. Let n(k) = -25*k + 0*k**2 + 26*k - k**2 + 1 + 0*k**2. Give i(p) - 6*n(p).
-p**2 + p + 4
Let q(j) = 227*j + 12. Let a(t) = 142103*t + 7514. Calculate -6*a(y) + 3757*q(y).
221*y
Suppose -3*f = 2*l - 49, 45 = -0*l + 3*l - 5*f. Let z(t) = -10 - 1 - 10*t**2 + 9*t - l*t. Let q(h) = -2*h**2 - 2*h - 2. Determine -22*q(w) + 4*z(w).
4*w**2
Let y(q) = -13*q**2 + 28*q + 125. Let u(w) = 3*w**2 - 6*w - 31. Calculate 18*u(d) + 4*y(d).
2*d**2 + 4*d - 58
Let c(h) = -h. Let o = 91 - 96. Suppose -4*q - 4*v = -12, 4*q + 3 = q + 3*v. Let n(w) = -3*w - 1. What is o*c(z) + q*n(z)?
2*z - 1
Let p(x) = 8*x**3 - 5*x**2. Let i(m) = 2*m**3 - m**2 + m. What is -10*i(h) + 2*p(h)?
-4*h**3 - 10*h
Let l(c) = 25*c**2 - 24*c + 1. Let z(b) = -2*b**2 - 3*b. Determine -3*l(g) + 24*z(g).
-123*g**2 - 3
Let n(d) = 4*d + 22. Let u(m) = -5*m - 19. Determine 3*n(i) + 2*u(i).
2*i + 28
Let i(s) = s**3 - 3. Let c(w) = -3*w**3 - 2*w**2 + w + 1. Let f(l) = l**3 + l**2 - l + 2. Let t(p) = -c(p) - 2*f(p). Give -5*i(m) + 3*t(m).
-2*m**3 + 3*m
Let r(x) = -x**3 + 35*x**2 + 34*x + 44. Let c(o) = 16*o**2 + 17*o + 23. Let p(k) = 5*c(k) - 3*r(k). Let n(i) = -i**3 + 8*i**2 + 6*i + 6. Give -17*n(f) - 6*p(f).
-f**3 + 14*f**2
Let i(q) = 5*q + 11. Let t(g) be the first derivative of 13*g**2 + 56*g + 166. Give -16*i(s) + 3*t(s).
-2*s - 8
Let s(t) = t**2 + 7*t + 2. Let q be s(-7). Let z(d) = 2 - 6 - 4*d**2 - 4*d - d**q + 1. Let i(v) = -14*v**2 - 11*v - 8. Give -4*i(c) + 11*z(c).
c**2 - 1
Let n(s) = -s**3 - 2. Let x(b) = -b**2 - 13*b + 16. Let r be x(-12). Suppose -r = -3*y - y. Let q(l) = 3*l**3 - l**2 + l + 7. Give y*n(h) + 2*q(h).
-h**3 - 2*h**2 + 2*h
Let t(a) be the second derivative of 0 + 3/20*a**5 - 26*a + 4/3*a**3 - 2/3*a**4 + 5/2*a**2. Let q(b) = -b**3 + 3*b**2 - 3*b - 2. Calculate 8*q(r) + 3*t(r).
r**3 - 1
Let m = 2497 + -2501. Let b(i) = i**3 - 4*i - 4. Let j(w) = w**3 + w**2 - 3*w - 3. What is m*j(v) + 3*b(v)?
-v**3 - 4*v**2
Let x(j) = -j**2. Suppose 5*p - 16 = -4*m - 6, 3*p = -2*m + 4. Let n(u) = u. Calculate p*x(r) + n(r).
2*r**2 + r
Let o(z) = -z**2 - 2*z - 5. Let l(j) = -j**2 - 20 - 6*j**2 + 2*j**2 - 10*j - 4 - 2. What is 2*l(n) - 11*o(n)?
n**2 + 2*n + 3
Let w be (-2)/6 + (-4)/6. Let d(k) = k. Let t = 57 + -37. Let b(v) = -v**2 + 18*v + 34. Let x be b(t). Let s(i) = -3*i. What is w*s(q) + x*d(q)?
-3*q
Let f(l) = 3*l**2 - l + 5. Let c(t) = -2*t**2 + | {
"pile_set_name": "DM Mathematics"
} |
Let v be i(21). Determine v*d(z) - 2*b(z).
z**2 + 2*z - 1
Let x(z) = -2*z + 2. Let o = 5633 - 5631. Let m(u) = 2*u - 2. Determine o*m(t) + 3*x(t).
-2*t + 2
Let n(j) = j**3 - j**2 + j - 6. Let x(c) = 2*c**3 - 7*c**2 + 7*c + 11. Determine 14*n(z) - 2*x(z).
10*z**3 - 106
Let s(v) be the first derivative of v**3/3 + 2*v**2 - 17*v + 27. Let c be s(-7). Let n(o) = -2*o - 2. Let h(t) = 2*t + 3. Calculate c*h(i) + 6*n(i).
-4*i
Let q(g) = -g**3 - 13*g. Let h(v) = 36*v**3 + 36*v**2 + 117*v. Give -h(z) - 9*q(z).
-27*z**3 - 36*z**2
Let n(c) = 5*c - 4. Suppose 0 = -2*v + 45*w - 41*w + 62, -3*w + 181 = 5*v. Let i(b) = -45*b + 35. Determine v*n(f) + 4*i(f).
-5*f
Let q(d) = d**2 + 2. Let a(c) = 130 - 16 + 90 - 11 - 15 + 15*c. Let h be a(-12). Let k(s) = -3*s**2 - 3. Give h*k(v) - 5*q(v).
v**2 - 4
Let n(a) = -a + 4. Let q be (-157)/(-4) - 1/4. Let t(x) = -217*x + 261. Let d be t(1). Let y = q - d. Let z(p) = -3*p + 9. Calculate y*n(c) + 2*z(c).
-c - 2
Suppose 0 = -b + 5*u + 50, 80 - 87 = 4*b + 3*u. Let l(w) = 0*w - 2*w + 4 + 0*w. Let g(d) = -d + 2. What is b*g(f) - 2*l(f)?
-f + 2
Let q be (-1)/(-2) - 21/(-6). Let f(z) = -6*z**2 - z + 3. Let n(v) = -7*v**2 - 2*v + 4. Let o be (-14 + -17 + 30)*9/3. Determine o*n(d) + q*f(d).
-3*d**2 + 2*d
Let s(w) = -w**3 + 5*w**2 - 7. Suppose 2*c + 4*p - 6 = 0, 3*c - 9 = -0*c - 3*p. Let r(y) = -89*y + 4*y**2 - 107*y - 7*y**2 + 196*y + 4. What is c*s(u) + 5*r(u)?
-3*u**3 - 1
Let n(z) = -38*z - 1. Let l(i) = -i. Let j = 13663 - 13661. Give j*l(f) + n(f).
-40*f - 1
Let s(h) = 0 - 4 + 5 - 12*h + 3 - 11*h. Let t(y) = 47*y - 9. Determine 9*s(x) + 4*t(x).
-19*x
Let q(y) = -13*y - 4407. Let k(l) = 2*l + 2. Give 6*k(h) + q(h).
-h - 4395
Let s(v) = 315*v. Let w(b) = 2*b - 5. Let m(p) = 18*p + 180. Let o(d) = -m(d) - 36*w(d). What is 18*o(f) + 5*s(f)?
-45*f
Let p(z) = 2*z + 1. Let a(f) = 5*f**3 - 64*f**2 - 16*f + 32. Let b be a(13). Suppose 3*l = -2*l. Let y(c) = -c + l - 8*c + 3 + 14*c. What is b*p(v) + 3*y(v)?
v + 2
Let l(i) = -7*i**2 - 5*i + 1. Let z(f) = 19*f**2 - 19*f - 5. Let p(h) = -62*h**2 + 60*h + 16. Let n(g) = 5*p(g) + 16*z(g). What is 5*l(u) - 6*n(u)?
u**2 - u + 5
Let t(j) = -j - 1. Let b(o) = o + 2. Suppose 0 = 29*r + 26 - 142. Suppose -8*k - r = -10*k. Determine k*b(q) + 3*t(q).
-q + 1
Let k = 116925 + -116917. Let g(t) be the second derivative of 5*t**3/3 - 7*t**2 + 2*t. Let p(a) = 7*a - 9. What is k*p(r) - 5*g(r)?
6*r - 2
Let b(y) = -3*y**3 + 5*y - 5. Let t(i) = 3*i**3 - 6*i + 6. Let h = 283 - 429. Let r = -151 - h. Give r*t(d) - 6*b(d).
3*d**3
Let m(n) = 4*n + 2. Let t(c) = -7*c - 4. Let a(f) = f + 37. Let o be a(-27). Suppose 5*w - o*w - 25 = 0. What is w*m(g) - 3*t(g)?
g + 2
Let k(s) = -18 + 30 + 1 + 4*s - 5*s. Let c(g) be the second derivative of -3*g**2/2 + 9*g. Suppose 2*n = -n - a + 8, 5*n - a - 8 = 0. What is n*k(o) + 9*c(o)?
-2*o - 1
Let g(r) = -16*r**3 + 12*r**2 + 12*r - 12. Let j(s) = -s**3 + s**2 + s - 1. Let y be ((-4259)/(-88) - (-120)/(-440)) + 2/(-16). Calculate y*j(o) - 4*g(o).
16*o**3
Let w(h) be the third derivative of -111*h**4/8 - 12*h**3 - 28*h**2. Suppose 347 = -11*p - 445. Let r(l) = -23*l - 5. What is p*r(o) + 5*w(o)?
-9*o
Let f(j) = -2*j**3 + 4*j**2 - 4*j - 2. Let z(o) = -1 + 2*o**2 - 36*o + 2*o**2 - 2 - 2*o**3 + 33*o - o**2. Determine -3*f(h) + 4*z(h).
-2*h**3 - 6
Suppose w - 3*o - 7 = 0, -6*w - 496 + 475 = 3*o. Suppose 3*h + h = 20. Let p(q) = h + 3*q + 0*q + 0 - q. Let y(m) = -1. Give w*p(a) - 10*y(a).
-4*a
Let k(s) = 1662*s - 429. Let i(j) = -554*j + 134. What is 16*i(n) + 5*k(n)?
-554*n - 1
Let y(a) = -5 + 4 - 2 - 11*a. Let c(t) = 23*t + 7. Let w be 2/(((-24)/30)/((-54)/(-15))). Calculate w*y(l) - 4*c(l).
7*l - 1
Let z(t) = -80*t**3 + 8*t**2 + 6*t - 2. Let q(h) = -82*h**3 + 9*h**2 + 7*h - 2. Determine -6*q(g) + 7*z(g).
-68*g**3 + 2*g**2 - 2
Let g(n) = -44*n - 141. Let m(v) = -15*v - 45. What is 2*g(f) - 7*m(f)?
17*f + 33
Let g(x) = -2*x + 2. Let y(f) = -1. Let a(w) = -g(w) - 3*y(w). Suppose 20*b = 22*b - 76. Let r(h) = -2 - 82*h + 40*h + b*h. Calculate -9*a(q) - 4*r(q).
-2*q - 1
Let s(p) = 42*p**2 - 30*p - 6. Let k(t) = 41*t**2 - 37*t - 6. Determine 4*k(w) - 5*s(w).
-46*w**2 + 2*w + 6
Let k(j) = 73*j**2 - 11*j - 8. Let l(g) = 25*g**2 - 4*g - 3. Determine 3*k(x) - 8*l(x).
19*x**2 - x
Let a(d) = d - 13. Suppose 3*z + 2 = 5*u, -z - 2 = 6*u - 7*u. Let b be (0 - 1) + -1 - 0/z. Let r be b/4 + 2 + 63/(-6). Let m(q) = -3. Give r*m(p) + 2*a(p).
2*p + 1
Let x(a) = -3*a**2 - 2*a - 11. Suppose -15*j + 48 = 93. Let l(q) = 4*q**2 + 2*q + 10. Calculate j*x(c) - 2*l(c).
c**2 + 2*c + 13
Let c(n) = -3*n - 4. Let p(o) = -2*o - 5. Suppose -3*u - 15*t + 14*t - 11 = 0, 0 = -5*u + 5*t - 5. Calculate u*p(j) + 4*c(j).
-6*j - 1
Let x(y) = -679*y**2 + 970. Let w(p) = p**2 - 2. What is 1455*w(o) + 3*x(o)?
-582*o**2
Let y(l) = -5*l**3 + 5*l**2. Let k(s) = 7818*s**2 + 370*s**3 - 7813*s**2 - 376*s**3. Give 4*k(w) - 5*y(w).
w**3 - 5*w**2
Let y(i) = i**2 - 1. Let f be 98/140 - ((-65)/50 - -1). Let x(c) = 11*c**2 - 17*c + 58 + 17*c - 56. Calculate f*x(d) + 2*y(d).
13*d**2
Let k(t) = -12*t - 1. Let r(q) = 101758*q + 8582. What is 17164*k(p) + 2*r(p)?
-2452*p
Let n(y) be the second derivative of 1/2*y**3 + 0 + 0*y**2 + 5/4*y**4 - 1/5*y**5 + 26*y. Let x(a) = 6*a**3 - 22*a**2 - 4*a. Give 7*n(w) + 5*x(w).
2*w**3 - 5*w**2 + w
Let l(q) = 5*q**3 - 9*q**2 + 7*q - 55. Let x(k) = -k**3 + 2*k**2 - 3*k. Give -l(n) - 3*x(n).
-2*n**3 + 3*n**2 + 2*n + 55
Let q(z) = 20*z**3 - 78*z**2 + 881. Let s(x) = 13*x**3 - 49*x**2 + 587. What is 5*q(v) - 8*s(v)?
-4*v**3 + 2*v**2 - 291
Let x(w) = 143*w**3 + 135*w**2 + 7*w + 7. Let d(s) = 21*s**2 + s + 1. Determine 7*d(b) - x(b).
-143*b**3 + 12*b**2
Let n = -42 - -36. Let b = 8 + n. Let c(a) = -a**3 - 3*a**2 + 2*a + 2. Let x(m) = 3*m**3 + 7*m**2 - 4*m - 5. Calculate b*x(w) + 5*c(w).
w**3 - w**2 + 2*w
Let u(v) = 4*v - 1. Let h(f) be the first derivative of -3/2*f**2 - 86 + f. What is 6*h(q) + 5*u(q)?
2*q + 1
Let m be 2/(-8) - 6/8. Let z(n) be the first derivative of -7*n**2/2 + 2*n - 11703. Let d(a) = a. Determine m*z(r) - 3*d(r).
4*r - 2
Let i = -18 - -12. Let l(g) = 4*g**2 - 21. Let b(y) be the third derivative of -y**5/60 + 5*y**3/6 + 36645*y**2. Let c = -46 - -20. What is c*b(f) + i*l(f)?
2*f**2 - 4
Let v(k) = -k - 1. Let y = 3 - 4. Let d(u) = u**3 - 12*u + 7. Let m be d(-4). Let x be 15/60 + -2 + m/(-12). Let p(n) = 5*n + 1. Give x*v(l) + y*p(l).
-4*l
Let t(o) = -5*o - 2560. Let d(v) = -2*v + 29. Give 2*d(c) - t(c).
c + 2618
Let b(v) be the first derivative of -v**2/2 - 4*v + 10387. Let c(x) = -x**2 - x - 3. Give -5*b(j) + 6*c(j).
-6*j**2 - j + 2
Let h(l) = -14*l**3 - 7*l**2 + 5*l + 1. Let g(p) = -7*p**3 - 4*p**2 + 3*p + 1. Suppose -5*c = -4*d - 3, -247*d - 8 = -248*d. Calculate c*g(i) - 4*h(i).
7*i**3 + i + 3
Let v(a) = 5*a**3 - 7*a - 17. Let m be (-13)/(39/(-12)) - 1. Let j(d) = -15 - 4*d - 6 + 27 + m*d**3 - 6 - 9. Determine 7*j(w) - 4*v(w).
w**3 + 5
Let p(a) = -11*a - 35. Let u(g) = -10*g - 43. Determine 6*p(l) - 7*u(l).
4*l + 91
Let p(y) be the second derivative of -y**4/2 + y**3/2 + 5*y**2/2 + y. Let w be ((-10)/12)/(53/(-159))*2. Let j(m) = -m**2 + m + 1. What is w*j(x) - p(x)?
x**2 + 2*x
Let z(y) = 376*y - 7. Let w(a) = 64*a - 1. Determine 26*w(h) - 4*z(h).
160*h + 2
Suppose 214 = -7*w + 228. Let g(s) = s. Let f(m) = -28*m. Calculate w*f(n) + 14*g(n).
-42*n
Let p(f) = -47*f. Let z(j) = -805*j - 5. Let g(h) = 34*p(h) - 2*z(h). Let k(i) = 4*i + 3. Give 3*g(s) - 8*k(s).
4*s + 6
Let k(d) = 1915*d - 9569. Let o be k(5). Let b(z) = -7*z + 6. Let l(a) be the second derivative of -4*a**3/3 + 7*a**2/2 - a. What is o*l(m) - 7*b(m)?
m
Let a(f) = 431140941*f**2 - 53592*f - 53592. Let n(i) = -40224*i**2 + 5*i + 5. Give -5*a(j) - 53592*n(j).
-20097*j**2
Let g(a) = -3*a. Suppose 2*i = -i - 2*w - 5, -5*w = -2*i - 16. Let p(n) = 1. Calculate i*g(m) - 3*p(m).
9*m - 3
Let o(j) = 5*j. Let p be 2/23 + 489/(-69). Let d be 0 + 1 - (-4)/(-2)*2. Let a(m) = -10*m. Give d*a(h) + p*o(h).
-5*h
Suppose 72 = 5*l + 52. Let o(s) = -s - 1. Let q(v) = -6*v - 9. Let w(i) = l*q(i) - 20*o(i). Let y(d) = -7*d - 16*d + 3 + 24*d. Calculate 3*w(t) + 16*y(t).
4*t
Let j be (36/144)/(2/24). Let d(t) = -j*t - 18 - 23 + 61 - 21. Let p(l) = -10*l - 2. Give 14*d(w) - 4*p(w).
-2*w - 6
Let p(m) = 6*m + 1. Let l(y) = 2255*y + 99. Determine | {
"pile_set_name": "DM Mathematics"
} |
d) = -d**2 - 9*d + 2. Let f be k(-9). Suppose -f*n + 74 = -192. Is n a prime number?
False
Let v = -164 + 259. Is v composite?
True
Let n = 42 + -27. Suppose -15 + 2 = 2*p - 5*l, 5*p - l = 25. Is p/n - (-8)/5 a prime number?
True
Let t = -411 - -721. Suppose -3*b - b = -2*f + t, 4*f + b - 629 = 0. Is f a prime number?
True
Let r = 9 + -8. Let f be (-28)/6*(r - 43). Let n = -35 + f. Is n prime?
False
Let m be 1/3 - (-7)/(-3). Let x be (-30)/(-5)*(-5)/m. Let z = 62 - x. Is z prime?
True
Let x(p) = 7*p**2 - 2. Is x(7) composite?
True
Let n(f) = -69*f - 2. Let z be n(-2). Let s be -48 - -6*3/(-6). Let m = s + z. Is m composite?
True
Let n = 11 + -15. Is ((-154)/4)/(n/8) prime?
False
Let b = 15 - -31. Is b prime?
False
Suppose 3*o + 5*j = 240, -o - 3*j + 70 = -10. Let t = 95 - 10. Suppose -t = -3*r + o. Is r a composite number?
True
Suppose -9 = d - 0*d. Let b = 16 + d. Is b a prime number?
True
Let m = -15 + 23. Let v = 5 - m. Let y = -1 - v. Is y a prime number?
True
Let k = 75 - 8. Is k a prime number?
True
Suppose 0 = 3*n - 2*h - 2041, -4*n + 0*h = -3*h - 2723. Is n a composite number?
False
Suppose -173 = -4*k - 45. Let u = 67 - k. Is u prime?
False
Suppose 1396 = 3*h - 5*w, 4*h - 1833 = -2*w + 3*w. Is h a composite number?
False
Suppose 0 = -3*v + 12, g - 2*g + 3*v + 1427 = 0. Is g prime?
True
Let c(i) = 24*i + 43. Is c(11) a prime number?
True
Let s(j) = 57*j**2 + 6*j + 64. Is s(-7) a prime number?
False
Is 4 + (-4 - 1) + 920/1 prime?
True
Suppose x = 13 - 19. Is (94/x)/((-4)/36) a composite number?
True
Let k(f) be the third derivative of f**9/30240 - f**8/4032 - f**7/2520 - f**6/240 + f**5/30 - 2*f**2. Let s(d) be the third derivative of k(d). Is s(4) prime?
True
Let d = 109 - 39. Suppose -3*u + 10 = -0*u - 5*v, 5 = 5*v. Suppose 0*r - d = -u*r. Is r composite?
True
Let f(b) = 8*b**2 - 15*b + 42. Is f(-17) prime?
True
Let d(l) = l**2 - 2*l + 2. Is d(9) prime?
False
Is 2 + (0 - 1) - -481 prime?
False
Suppose -s + r + 11 = 0, -r - 2 = -3*r. Suppose 10*q - s*q + 524 = 0. Is q composite?
True
Suppose -51 = -2*a + a. Is a composite?
True
Suppose -6*b + 542 = -112. Is b prime?
True
Let i = 0 - 0. Suppose i*g - 3*g + 153 = 0. Is g prime?
False
Let l(k) = -10 - 17*k + 10*k**2 - 22*k**2 - 3 + k**3. Is l(14) composite?
True
Suppose -2 - 2 = -3*s - 4*h, 29 = 3*s - h. Is (-4)/s + (-407)/(-2) a prime number?
False
Let q(d) = -d**2 + d + 1. Let x(m) = -6*m**2 - 2*m - 5. Let n(j) = -10*q(j) - 2*x(j). Let v be n(-5). Suppose -s + 5*s - v = 0. Is s composite?
True
Suppose 2*t = -650 + 2248. Is t a composite number?
True
Let q be (-659)/(-3) - 4/6. Is q/7 + (-2)/7 a composite number?
False
Let m(a) = a**3 - 5*a**2 - 3*a - 3. Let u(h) = -2*h + 2. Let b be u(-2). Is m(b) a prime number?
False
Let d(w) = 3*w**3 - 7*w**2 + w + 7. Let l(x) = -4*x**3 + 6*x**2 - x - 7. Let o(y) = -3*d(y) - 2*l(y). Let j be ((-1)/2)/(3/(-36)). Is o(j) composite?
True
Let q(r) = 46*r**2 - 4. Let g be q(-5). Suppose 4*s = 2*m + 2*s - 576, 4*m - g = -2*s. Is m prime?
False
Suppose 3*i - 2*i = 26. Let k be (0 - -8)/(16/(-24)). Let h = i + k. Is h composite?
True
Suppose -6*u + 4*u - 2*p = -10, 2*p - 6 = -u. Let q be u*2*(-3)/(-6). Is (-384)/(-10) - q/10 prime?
False
Suppose -34*s + 1270 = -32*s. Is s a prime number?
False
Let c(a) = a**2 + a. Let s(v) = v**3 + 5*v**2 - 10*v + 3. Let i(d) = 2*c(d) + s(d). Is i(5) a prime number?
True
Let j = 3 - 1. Suppose 412 = j*l + 42. Is l a composite number?
True
Let y(r) = 4*r**2 + 17*r + 5. Is y(-7) prime?
False
Is 2 - -131*(0 - -1) prime?
False
Let c = -856 - -1443. Is c prime?
True
Let t = -7 - -11. Is 13*(t - 4 - -1) composite?
False
Suppose 0 = -2*x + 2*b, x + b = 3*b - 4. Let y = -14 + 14. Suppose y*o - k - 106 = -2*o, -5*o = -x*k - 259. Is o prime?
False
Suppose -4*i - 22 + 654 = 0. Is i a composite number?
True
Let f(n) = -5 + 2 + 11*n**2 + 5*n - 2*n. Is f(2) a composite number?
False
Let p(h) = -12*h**3 - 6*h**2 + h - 8. Is p(-5) prime?
False
Suppose 74*w - 69*w = 5755. Is w a prime number?
True
Suppose 6*l = 7*l - 5*c - 2492, 3*l - 7546 = c. Is l a composite number?
True
Let h be 168/(-5) + 2/(-5). Is (h/(-6))/((-1)/(-6)) prime?
False
Let f(q) = -2*q + 31. Is f(0) composite?
False
Is -2 + 3 + -1 + 223 a prime number?
True
Let j = 148 - -13. Let k = j + -4. Is k composite?
False
Suppose -2*f = -5*f - 3*c - 54, -54 = 3*f + c. Let b = f - -31. Is b a composite number?
False
Suppose 0 = 3*h + 2*g - 2287, 4*h - 3*g + 2*g - 3053 = 0. Is h prime?
False
Let r = -795 - -1226. Is r a composite number?
False
Let f(s) = 33*s**3 + 2*s**2 - s. Is f(1) a composite number?
True
Let v be (6/3)/(2/4). Suppose -v*i = -2 + 6, 37 = 3*t - i. Is 2*26*3/t a prime number?
True
Suppose -4*g - 5*n = -0 + 2, 2*g - 4*n = 12. Suppose -g*f = -3*u - 4*f + 159, 3*u - 5*f - 180 = 0. Is u a composite number?
True
Let i(n) = -253*n + 56. Is i(-9) a prime number?
True
Let l(i) = 2 - 7*i + 0*i**2 + i**2 + 3*i. Let a be l(4). Suppose -z = b - 62, -5*z - b - a*b = -320. Is z prime?
True
Suppose 0 = -w + 3*i + 214, -2*w - 3*i + 423 = -4*i. Is w a prime number?
True
Let o be 0 - 8/12*3. Is 2 + 1/(o/(-598)) a composite number?
True
Let h(r) = r**2 - r + 127. Is h(0) a prime number?
True
Let n = 111 + -283. Let j = n + 339. Is j a composite number?
False
Let n be 1/2 + 111/6. Let i be 6/9 + n/3. Suppose 0*s - 2*p + i = s, 0 = 3*s - p - 21. Is s composite?
False
Suppose -390 = -3*g + 2*j, -2*g + 0*g + 2*j + 260 = 0. Let m(a) = a**2 + 7*a + 7. Let q be m(-5). Is ((q - 0) + g)*1 a prime number?
True
Suppose 0 = 2*c + 2*s - 10, 0 = 5*c - 2*s - 8 - 10. Suppose 0*j - 2*f - 56 = -j, -3*j + 152 = -2*f. Suppose 0 = c*n - 356 + j. Is n prime?
False
Let n = 229 + -151. Let x = n - 41. Is x prime?
True
Let q(l) = 11*l - 4. Let g(d) = 17*d - 6. Let v(b) = 5*g(b) - 8*q(b). Is v(-3) prime?
True
Let k(h) = 23*h + 9. Let o(a) = -a + 1. Let c(y) = -k(y) + 6*o(y). Is c(-4) a composite number?
False
Suppose 3*h = -5*r + 6, r = -r + 5*h - 10. Suppose -3*p + r*k + 233 = 4*k, -411 = -5*p - k. Is p prime?
True
Let b = 7 + -7. Suppose -u = 1 - b. Is (u/1)/((-4)/508) a prime number?
True
Let b(o) = 67*o. Is b(13) a composite number?
True
Let c = -146 - -363. Is c a prime number?
False
Suppose 5*i - 1214 = 51. Is i prime?
False
Let s be (-24)/(-16)*8/6. Suppose 4*q + s*b - 239 = 5*b, 2*q - b = 119. Is q a prime number?
True
Suppose 0*z = 2*z + 44. Let c = z - -75. Is c composite?
False
Let f = 0 - -8. Is (-6)/(-4) + 460/f composite?
False
Let b(h) be the third derivative of 1/6*h**3 + 0*h + 0 - 3*h**2 + 1/4*h**4. Is b(2) composite?
False
Suppose 0 = 5*a - 16430 - 10185. Is a composite?
False
Let f(c) = 10*c**3 + c - 1. Let n be f(1). Let w = 4 - n. Is 21 + (-3)/w*0 a prime number?
False
Let l = -4 - -4. Let t(k) = -k + 89. Is t(l) a composite number?
False
Let f(d) = 19*d**2 + 5*d + 5. Let o be f(-6). Let g = o - 468. Is g prime?
True
Is (-7)/((-7)/124) - -3 a prime number?
True
Let h(q) = q**2 - 4*q - 5. Let o be h(-7). Let r = 55 - 106. Let v = r + o. Is v a composite number?
True
Let h(s) = 40*s**2 - 4*s - 11. Is h(-5) prime?
True
Is 3 + 782 + 0/2 prime?
False
Suppose d - 6*d + 15 = -3*t, 3 = -2*t + d. Suppose t = 3*r - 348 + 63. Is r composite?
True
Suppose -9*k = -2328 - 6654. Is k composite?
True
Let h be 3/((-9)/(-6)) - -2. Suppose -3*l = 4*p - 35, -h*p + 5*l - 4 = 1. Suppose -3*y + p*y - 238 = 0. Is y a prime number?
False
Let h(d) = d**2 + d - 2. Let b be h(3). Let f = -5 + b. Suppose -18 - 42 = -5*p + 5*a, 6 = p + f*a. Is p composite?
False
Let n = 7830 + -5559. Is n a composite number?
True
Suppose 151 = c + 5*n, 0*n - 3*n + 149 = c. Is c composite?
True
Let y(v) = 25*v**2 + 13*v + 17. Is y(-7) a prime number?
True
Let o(n) = -n**3 + 5*n**2 - n + 8. Let z be o(5). Let d(r) = r**3 + 3*r**2 + 4*r + 1. Is d(z) composite?
False
Let x be 12/(-10) - 2/(-10). Let q = x + 3. Suppose 5*c = -4*f + 365, c + 102 = q*c - 5*f. Is c a composite number?
True
Suppose 4*x = -3*r + 413, -2*r + 3*r = -4*x + 151. Is r a prime number?
True
Let m(q) = 2*q**2 + 6*q + 7. Let z be m(-5). Suppose a - z = -2*a. Let p(l) = l**3 - 9*l**2 + 10*l - 11. Is p(a) composite?
False
Suppose -2*g = -1194 - 164. Is g composite?
True
Let q = -185 + 7. Let c = q + 305. Is c a composite number?
False
Let m = 8 + -7. Is 11/(m*2/22) com | {
"pile_set_name": "DM Mathematics"
} |
k.
0
Rearrange 107*q - 44*q + 24 - 69*q to the form l + k*q and give k.
-6
Rearrange 4464 - 3*f**2 + 2*f**2 - 4464 + 59*f**3 to the form w*f**3 + b*f**2 + z*f + u and give w.
59
Rearrange (3*l + 0*l - 2*l)*(-1908 - 366 - 2280) to the form p + h*l and give h.
-4554
Rearrange n**2 - 3*n**3 - 2 + 20*n + 19*n**3 - 15*n**3 to w*n**3 + u*n + y*n**2 + m and give m.
-2
Express (-x - x + 3*x)*(2*x + 4 - 4) - 23*x**2 - 745*x**2 - 13*x**2 in the form v + q*x**2 + g*x and give q.
-779
Rearrange (888 + 59*f - 888)*(3*f**2 + 2*f**2 + 2*f**2) to l*f**2 + n*f + y + z*f**3 and give z.
413
Express -4 - 13546*a**2 + 2 + 10636*a**2 + 2 in the form p*a**2 + l + f*a and give p.
-2910
Rearrange 19*l**4 + 342*l + 2*l**3 - 2*l**3 - 341*l - 4*l**2 - 2*l**3 to t*l**3 + k*l + n*l**2 + r + v*l**4 and give v.
19
Express ((0*g + 5*g - 4*g)*(g + 5 - 5) + 3 + 2*g**2 - 3)*(-243 + 81 - 83)*(-3 - 2 + 7) as s*g + b + n*g**2 and give n.
-1470
Express (13 - 17 - 27)*((1 - 1 + t)*(0 + 1 - 2) + 1 - 1 + 2*t) in the form f*t + r and give f.
-31
Rearrange 5404 - 67*i**2 - 42*i**2 + 29*i**2 - 5405 to z + p*i + w*i**2 and give z.
-1
Express 4*b + 39951 - 39951 + 5*b**3 - 7*b**2 as n + o*b**3 + y*b + m*b**2 and give y.
4
Express (-3 - 4 + 8)*(28*g - 1 - g**2 - 28*g) + 3*g**2 + 0*g**2 - g**2 as f*g**2 + l*g + h and give h.
-1
Express ((2 + 1 - 1)*(-1 + 5 + 3) + 5 + 1 - 2 - 4 - 5 + 3)*(-3 + 3 - 2*f) as r*f + v and give r.
-24
Express -h**2 - h**2 - 120*h**4 + 2*h + 31*h**4 - 25*h**4 as k + d*h**3 + w*h**4 + u*h**2 + n*h and give n.
2
Express -77*p - 2*p**2 - 11 + 3*p**4 + 71*p + 12 + p**2 in the form n*p + o*p**4 + j*p**3 + f + r*p**2 and give o.
3
Express 7*j - 5*j + 3 - 5 + (-1 + 2 + 1)*(0*j - j + 2*j) - 5*j - 17*j - 13*j in the form m + c*j and give m.
-2
Express (34*j + 45*j - 28*j)*(3*j**2 - 3*j**2 - j**2) + j**3 + 0*j**3 - 3*j**3 as l + n*j**2 + i*j**3 + w*j and give i.
-53
Express 1 - 1 + 57*v**3 - 54*v**3 - 44*v**2 as q + l*v + g*v**2 + f*v**3 and give f.
3
Rearrange (-811*d - 79*d + 76*d)*(3 - 3 - d) - 3*d + 3*d - d**2 to r + y*d + z*d**2 and give r.
0
Express (75*n - 1 + 84*n - 152*n)*(-22*n + 22*n + 6*n**2) in the form x*n**2 + r*n + s + t*n**3 and give t.
42
Rearrange 34 + 5*w**2 - 3*w**3 + 40 - 112 + 39 + 2*w to the form z + t*w + s*w**2 + f*w**3 and give z.
1
Rearrange (3 - 6 + 4)*(83 - 42*m - 83) + 2 - 2 + 4*m + 2*m - 2*m + 2*m - m + 0*m - m + (-2*m - m + m)*(-4 + 1 + 5) - 1 + 1 - 2*m to the form j + w*m and give w.
-44
Rearrange (-2 + 1 + 3)*(51*d**4 - 326 + 326) + 1 - 1 - d**4 to q + r*d**2 + j*d**3 + a*d**4 + y*d and give a.
101
Rearrange (36 + 8 - 1)*(6*j**2 + 7*j**2 + 5*j**2) to r*j + h*j**2 + d and give h.
774
Express -2*y**2 + 2*y**3 + 45 - 13 - 8*y**2 + y**2 - 7 as m + x*y + b*y**2 + a*y**3 and give b.
-9
Rearrange -354 + 712 - 348 + 3*z**2 to the form a*z + u*z**2 + i and give i.
10
Express 3108 + 109*p**2 - 3108 as s*p**2 + c*p + g and give s.
109
Rearrange (2*x + 6*x - 10*x)*(-44*x + 103 - 103) to the form w + v*x + f*x**2 and give f.
88
Rearrange (-62*w - 70*w + 139*w)*(4*w + 0*w - 3*w)*(w - 12*w + 0*w) to the form b*w**3 + f*w + a*w**2 + s and give s.
0
Express -302*z - 160*z + 2*z - 31*z in the form m*z + q and give m.
-491
Express -39*r**2 + 1 + r**3 - 3*r + 24*r**2 + 18*r**2 as l*r + q + o*r**2 + k*r**3 and give o.
3
Rearrange 313 - 39 + 21*c + 13*c - 37*c to the form v*c + b and give b.
274
Express -82*o**2 - 72*o**2 + 21*o**2 - 38*o**2 as s*o**2 + b + m*o and give s.
-171
Express 10188 + 483*a - 10188 in the form j*a + i and give j.
483
Express -531*p - 679*p - 200*p - 488*p + 407*p in the form w + m*p and give m.
-1491
Express (-18*k - 1 + 12*k - 4*k)*(0*k**3 + k**3 - 4*k**3) in the form b + l*k**4 + t*k + a*k**2 + m*k**3 and give l.
30
Express -3*m**3 - 2*m**4 + 3*m - m**2 + 1 + 0 + 0*m**3 in the form a*m**3 + p*m + w + x*m**4 + i*m**2 and give i.
-1
Rearrange (2 + 3 - 7 + 3*i)*(i + 3*i**3 - 11*i**3 - 25*i**3) - i**4 + i**3 - i**3 to the form y*i**3 + a*i + c*i**4 + w*i**2 + q and give c.
-100
Express -12*m - 20*m - 20*m + (1 - 2 + 0)*(1 + 3 + 2)*(5*m - 3*m - 4*m) as b + v*m and give v.
-40
Rearrange (-o - o + 4*o)*(330 - 480 - 1257) to p + l*o and give l.
-2814
Rearrange (7 - 7 - 2*o)*(-4 - 4 + 5)*(-1 + 2 + 1) + 2*o + 0*o + 39*o to the form u + r*o and give r.
53
Rearrange (638*x - 6 - 647*x + 0)*(2 + 2 - 6) + (-x + 0*x + 0*x)*(2 + 15 - 6) - 2 + 2 + 2*x to the form h*x + z and give z.
12
Express -491*j**2 + 492*j**2 - 51 - 16 as v*j**2 + o + q*j and give o.
-67
Rearrange -37 + 75 - 89*c - 38 - c**3 to l*c**2 + s*c + x + t*c**3 and give s.
-89
Rearrange -3*k**4 - 11*k**3 + 5*k**4 + 158 - 2*k**4 - 3*k**4 + 2*k - 156 - 2*k**2 to the form m*k**3 + t*k**2 + u*k + n + l*k**4 and give n.
2
Rearrange 58 + 5*t - 6*t + 1 + 44 + 5*t to the form f*t + x and give f.
4
Express 15*w - 11*w - 6*w**4 - w**2 + w**4 + 0 - 4*w**3 - 1 - 6*w as s*w**2 + t + r*w**4 + u*w**3 + y*w and give t.
-1
Express (-3*g - 4 - 2 + 8)*(42 + 7*g**3 - 42) as k*g**4 + o*g**3 + y + w*g**2 + t*g and give y.
0
Express x**2 - 12*x**4 + 2*x**3 + 0*x**2 + 5*x**3 + 5*x + 14*x**4 + 1 - 4*x as n + f*x**3 + i*x**2 + m*x**4 + h*x and give i.
1
Express 15*r - 28*r + 0 + 0 - 3 in the form y*r + w and give w.
-3
Express (337 + c + c - 94)*(2*c**2 - 5*c**2 + c**2) + 3*c - 3*c - 2*c**3 in the form i*c**3 + s + n*c**2 + u*c and give n.
-486
Rearrange 85*n**2 - n**3 + 84*n**2 + 2 - 170*n**2 to the form s*n**2 + w*n**3 + j + t*n and give s.
-1
Express (28 - 29 + 24)*(-98 - 7*q**4 + 98) in the form k*q**4 + p*q**3 + h*q**2 + r + f*q and give k.
-161
Express (r + 0*r - 2*r)*(-4 + 4 - 2)*(-3 - 1 - 5 + (4 - 1 - 1)*(1 - 3 + 0) + 3 + 1 - 2) as x + h*r and give h.
-22
Rearrange -2*r**2 - 45 + 45 + (-r - 1 + 4*r - r)*(2*r - r + r) + (11*r - 17*r**2 - 11*r)*(0 - 4 + 5) to p*r**2 + o*r + g and give p.
-15
Rearrange 2*x + 31*x**3 - 8*x + 24*x**3 - 54*x**3 + 10*x**2 to a*x + k + f*x**2 + d*x**3 and give d.
1
Rearrange (l**2 + 0*l**2 - 8*l**2)*(-369*l + 2 - 8 + 6) to the form p + c*l**2 + a*l + v*l**3 and give v.
2583
Express -41*o**2 - 19*o**2 - 269*o**2 in the form y*o + p*o**2 + d and give p.
-329
Rearrange 2*n + 32 + 4*n**2 - 10*n**2 + 47 - 76 to the form v*n**2 + m + o*n and give m.
3
Rearrange -150*v**3 - 157*v**3 + 2*v**2 - 4*v**4 - 163*v**3 + 458*v**3 to o + l*v**2 + p*v**4 + j*v**3 + g*v and give j.
-12
Rearrange (-398*v**3 + 164*v**3 + 136*v**3)*(0 + 1 - 2)*(1 - 1 - 2*v) to b*v**3 + n*v + x + q*v**4 + l*v**2 and give n.
0
Rearrange -33*f - 4*f**2 + 17*f**2 - 9*f**2 - 11*f to the form k*f**2 + l + t*f and give k.
4
Rearrange 24*c**3 + 0*c**4 + 2*c**2 - 4*c**4 + 11*c**4 - 26*c**3 to the form y*c**2 + h*c**3 + w*c**4 + g + i*c and give w.
7
Express 19*a + 22*a + 125*a + 50*a as w + r*a and give r.
216
Express -13889*c**3 + 29*c + 0 + 1 + 13891*c**3 in the form l*c + t*c**2 + g + w*c**3 and give t.
0
Rearrange 1 + 5 + 402*a + 3 + 9 - 17 to o*a + b and give b.
1
Express -75*z**3 + 97 + 74*z**3 - z + 0*z as q*z**2 + x + i*z + s*z**3 and give x.
97
Express (0*g**2 - 4*g**2 + 3*g**2)*(2 + 3 - 6) + (-6 + 3 - 2)*(g - g + 2*g**2)*(0 - 8 - 12) as m + z*g + u*g**2 and give u.
201
Rearrange -174*u + 112*u + 638*u to the form j*u + z and give j.
576
Rearrange x**2 - 97*x**3 - 2*x**4 - 144 - 2*x + 95*x**3 + 147 to the form n*x**3 + q*x**4 + o*x + p*x**2 + r and give o.
-2
Rearrange -73*j**4 + 205*j**4 - 398*j - 134*j**4 + (2*j**3 + 2*j**2 - 2*j**2)*(-7*j + 2*j + 3*j) to k*j**2 + h*j + r*j**3 + s*j**4 + w and give h.
-398
Rearrange -34*l**3 - 51*l**3 - 1 + 16*l**3 - 22*l**3 to g*l**2 + w*l + q*l**3 + x and give x.
-1
Rearrange 99*u**3 + 16*u**2 - 91*u**3 + 2 - 24*u + 22*u to the form x*u**3 + o*u**2 + g*u + c and give x.
8
Rearrange (-2 + 2 - 1)*(-t - 2*t + t) + (0*t - 2*t + 0*t)*(-2 + 1 + 2) + 15 - 7*t - 15 to a*t + h and give a.
-7
Rearrange -780*y + 1565*y + 191 - 783*y to the form a + d*y and give d.
2
Rearrange (11*d - 2*d - 3*d)*(-1 - 4 + 0) - d - 6*d + 0*d to b + r*d and give r.
-37
Express 10863 - 96*f - 10863 in the form z + v*f and give v.
-96
Express 223*t**3 + 0 + 2*t**2 + 1 - 116*t**3 + t - 110*t**3 as v*t**2 + p*t**3 + a*t + r and give r.
1
Rearrange 5 - v**4 - 5 + (107*v - 107*v - 13*v**4)*(9 + 51 + 1) to f*v + p*v**3 + g + q*v**2 + x*v**4 and give x.
-794
Rearrange 97 - 97 + 729*a - 164*a to the form g*a + i and | {
"pile_set_name": "DM Mathematics"
} |
ppgup?
1/280
Calculate prob of sequence vm when two letters picked without replacement from {m: 1, v: 2, k: 2, n: 4, o: 3, h: 2}.
1/91
What is prob of sequence qwq when three letters picked without replacement from {b: 3, g: 1, q: 2, w: 1}?
1/105
Calculate prob of sequence ssd when three letters picked without replacement from {d: 2, s: 9}.
8/55
Three letters picked without replacement from morrszsc. Give prob of sequence mss.
1/168
Three letters picked without replacement from rwjwjjjwjv. Give prob of sequence vrv.
0
Three letters picked without replacement from {o: 1, f: 8, n: 1, b: 8, u: 2}. Give prob of sequence ufo.
2/855
What is prob of sequence mu when two letters picked without replacement from {i: 8, m: 2, u: 2}?
1/33
Two letters picked without replacement from {k: 2, a: 1, b: 1, t: 1}. What is prob of sequence bt?
1/20
Four letters picked without replacement from {o: 6, b: 2}. What is prob of sequence oooo?
3/14
Calculate prob of sequence zxr when three letters picked without replacement from {x: 2, r: 7, z: 11}.
77/3420
Two letters picked without replacement from {k: 5, x: 2, n: 8}. Give prob of sequence nk.
4/21
Calculate prob of sequence lx when two letters picked without replacement from {x: 1, l: 2, y: 1, f: 5}.
1/36
What is prob of sequence joj when three letters picked without replacement from {r: 1, t: 5, o: 1, j: 12}?
22/969
Three letters picked without replacement from ydygdyrdlvr. Give prob of sequence ydv.
1/110
Three letters picked without replacement from {t: 5, z: 4, h: 3, u: 4}. What is prob of sequence zzu?
1/70
Calculate prob of sequence zzy when three letters picked without replacement from llyllwzzlylll.
1/429
What is prob of sequence mfgm when four letters picked without replacement from {f: 3, g: 1, m: 3}?
3/140
What is prob of sequence ua when two letters picked without replacement from {u: 2, a: 11}?
11/78
Two letters picked without replacement from rggggrdrrrdr. What is prob of sequence rr?
5/22
Three letters picked without replacement from {v: 2, y: 6, q: 1, t: 4, j: 2}. What is prob of sequence jyv?
4/455
Two letters picked without replacement from vsxkv. Give prob of sequence vk.
1/10
What is prob of sequence ifpi when four letters picked without replacement from {w: 4, p: 1, i: 12, f: 3}?
11/3230
Three letters picked without replacement from mtaxmavs. Give prob of sequence vax.
1/168
Three letters picked without replacement from qqxuquqeeqeeq. Give prob of sequence uqq.
5/143
Three letters picked without replacement from {b: 1, o: 2, w: 1, j: 2, l: 2}. Give prob of sequence jjw.
1/168
What is prob of sequence vaaa when four letters picked without replacement from {a: 4, p: 2, v: 8}?
8/1001
Two letters picked without replacement from {o: 5, s: 1, n: 6, c: 4}. What is prob of sequence oo?
1/12
Calculate prob of sequence fsf when three letters picked without replacement from {f: 3, s: 7}.
7/120
Calculate prob of sequence xxt when three letters picked without replacement from xtxxt.
1/5
Four letters picked without replacement from {r: 1, k: 2, m: 1, b: 1, c: 2}. Give prob of sequence mbcc.
1/420
Calculate prob of sequence eye when three letters picked without replacement from neneyeneenn.
2/99
Three letters picked without replacement from ooodxoooo. What is prob of sequence oxd?
1/72
Calculate prob of sequence ccdf when four letters picked without replacement from {w: 3, f: 2, v: 1, x: 2, c: 1, d: 3}.
0
Four letters picked without replacement from wrgggpwpppg. Give prob of sequence pgpg.
1/55
Four letters picked without replacement from {t: 5}. Give prob of sequence tttt.
1
Calculate prob of sequence rw when two letters picked without replacement from {w: 1, e: 7, s: 5, r: 5}.
5/306
What is prob of sequence qje when three letters picked without replacement from {q: 1, j: 1, e: 1}?
1/6
What is prob of sequence saaa when four letters picked without replacement from dadsdsaasda?
1/110
What is prob of sequence kkk when three letters picked without replacement from kkjjrkykkkrkk?
28/143
Four letters picked without replacement from vveovvee. Give prob of sequence evvo.
3/140
What is prob of sequence zfz when three letters picked without replacement from fzffkfzffzzzffffff?
5/102
Three letters picked without replacement from {b: 2, f: 5}. What is prob of sequence ffb?
4/21
Three letters picked without replacement from {s: 2, g: 1, c: 1, k: 2, f: 2, v: 1}. Give prob of sequence sfg.
1/126
Three letters picked without replacement from {g: 1, l: 1, z: 2, e: 1, o: 1, t: 1}. What is prob of sequence elo?
1/210
Two letters picked without replacement from cddedddcded. What is prob of sequence dd?
21/55
Four letters picked without replacement from {t: 1, n: 1, c: 1, g: 1, f: 2, d: 1}. What is prob of sequence fftd?
1/420
Four letters picked without replacement from {t: 9, r: 2}. Give prob of sequence trtt.
7/55
Calculate prob of sequence pg when two letters picked without replacement from pghgpgggphgggggggg.
13/102
Calculate prob of sequence jx when two letters picked without replacement from {f: 9, d: 4, i: 1, j: 2, x: 1}.
1/136
Calculate prob of sequence xx when two letters picked without replacement from {k: 1, m: 1, x: 4, z: 1, w: 1}.
3/14
What is prob of sequence bebk when four letters picked without replacement from {k: 2, b: 2, e: 1, i: 1}?
1/90
What is prob of sequence oyo when three letters picked without replacement from {y: 5, o: 2}?
1/21
Four letters picked without replacement from {k: 3, x: 2, c: 11, f: 3}. Give prob of sequence kcxx.
11/15504
What is prob of sequence sjsj when four letters picked without replacement from jjjjjsjsjjjsjjjjsjjj?
8/323
Calculate prob of sequence pm when two letters picked without replacement from mmmpmmpmpmmmmmm.
6/35
Calculate prob of sequence bhh when three letters picked without replacement from rhbhhwih.
1/28
Two letters picked without replacement from {x: 1, s: 1, o: 1, j: 1, n: 2, e: 2}. What is prob of sequence xs?
1/56
What is prob of sequence ggg when three letters picked without replacement from {l: 4, g: 6}?
1/6
Two letters picked without replacement from ppjxppxxxxp. Give prob of sequence pp.
2/11
Calculate prob of sequence ttn when three letters picked without replacement from ottoonoootonot.
1/91
What is prob of sequence thn when three letters picked without replacement from htnywhoyywywwhynyy?
1/816
What is prob of sequence rdrd when four letters picked without replacement from {r: 6, d: 2}?
1/28
Calculate prob of sequence hj when two letters picked without replacement from {j: 7, h: 5, x: 1, n: 3}.
7/48
Four letters picked without replacement from vyyvgr. Give prob of sequence rrvv.
0
Calculate prob of sequence udnw when four letters picked without replacement from dadnnwdnndauddaaadad.
4/14535
Three letters picked without replacement from ffqb. What is prob of sequence bqf?
1/12
Calculate prob of sequence zw when two letters picked without replacement from {z: 1, w: 2}.
1/3
What is prob of sequence ggx when three letters picked without replacement from {m: 9, g: 2, x: 5, c: 3}?
5/2907
Calculate prob of sequence wwh when three letters picked without replacement from wwhw.
1/4
Three letters picked without replacement from {v: 2, x: 1, n: 1, q: 1, w: 1, b: 1}. Give prob of sequence bwx.
1/210
Four letters picked without replacement from dddsddsddsdddddddd. Give prob of sequence sdss.
1/816
Four letters picked without replacement from {y: 5, w: 7}. What is prob of sequence yyyw?
7/198
Two letters picked without replacement from {x: 3, p: 2, f: 1, i: 1, s: 1, d: 3}. What is prob of sequence xi?
3/110
Calculate prob of sequence ll when two letters picked without replacement from dlalddadd.
1/36
Calculate prob of sequence spps when four letters picked without replacement from {s: 2, p: 2}.
1/6
Calculate prob of sequence ddtv when four letters picked without replacement from {v: 2, d: 4, l: 2, t: 1}.
1/126
Two letters picked without replacement from ctkfqifck. What is prob of sequence cq?
1/36
Three letters picked without replacement from {i: 2, q: 2, u: 3, w: 3, r: 4, m: 2}. What is prob of sequence qum?
1/280
Two letters picked without replacement from {t: 1, r: 1, u: 6, b: 2, h: 2, c: 3}. Give prob of sequence hr.
1/105
Two letters picked without replacement from | {
"pile_set_name": "DM Mathematics"
} |
ed by 3?
0
What is the remainder when 65 is divided by 29?
7
What is the remainder when 1248 is divided by 66?
60
What is the remainder when 778 is divided by 29?
24
What is the remainder when 735 is divided by 18?
15
What is the remainder when 341 is divided by 51?
35
Calculate the remainder when 395 is divided by 39.
5
Calculate the remainder when 101 is divided by 34.
33
What is the remainder when 8812 is divided by 20?
12
What is the remainder when 10708 is divided by 188?
180
Calculate the remainder when 1975 is divided by 653.
16
What is the remainder when 167 is divided by 13?
11
What is the remainder when 126 is divided by 16?
14
Calculate the remainder when 140 is divided by 13.
10
Calculate the remainder when 106 is divided by 18.
16
What is the remainder when 210 is divided by 58?
36
What is the remainder when 606 is divided by 21?
18
What is the remainder when 131 is divided by 27?
23
Calculate the remainder when 161 is divided by 9.
8
What is the remainder when 111 is divided by 57?
54
What is the remainder when 60 is divided by 13?
8
Calculate the remainder when 1150 is divided by 357.
79
What is the remainder when 1415 is divided by 131?
105
Calculate the remainder when 221 is divided by 48.
29
What is the remainder when 311 is divided by 7?
3
What is the remainder when 31 is divided by 3?
1
Calculate the remainder when 26 is divided by 3.
2
Calculate the remainder when 336 is divided by 134.
68
What is the remainder when 374 is divided by 42?
38
Calculate the remainder when 1691 is divided by 113.
109
Calculate the remainder when 117 is divided by 8.
5
What is the remainder when 6399 is divided by 33?
30
Calculate the remainder when 438 is divided by 10.
8
Calculate the remainder when 161 is divided by 34.
25
Calculate the remainder when 11550 is divided by 304.
302
What is the remainder when 1576 is divided by 66?
58
What is the remainder when 495 is divided by 25?
20
What is the remainder when 927 is divided by 93?
90
What is the remainder when 723 is divided by 106?
87
Calculate the remainder when 298 is divided by 47.
16
What is the remainder when 1531 is divided by 507?
10
Calculate the remainder when 59 is divided by 12.
11
What is the remainder when 387 is divided by 97?
96
Calculate the remainder when 844 is divided by 26.
12
Calculate the remainder when 412 is divided by 32.
28
Calculate the remainder when 336 is divided by 85.
81
What is the remainder when 3163 is divided by 30?
13
Calculate the remainder when 1748 is divided by 122.
40
Calculate the remainder when 15 is divided by 3.
0
Calculate the remainder when 376 is divided by 58.
28
What is the remainder when 99 is divided by 18?
9
Calculate the remainder when 126 is divided by 64.
62
What is the remainder when 1148 is divided by 23?
21
Calculate the remainder when 2205 is divided by 23.
20
Calculate the remainder when 588 is divided by 121.
104
Calculate the remainder when 315 is divided by 36.
27
Calculate the remainder when 123 is divided by 44.
35
Calculate the remainder when 218 is divided by 22.
20
Calculate the remainder when 222 is divided by 45.
42
What is the remainder when 3125 is divided by 136?
133
What is the remainder when 165 is divided by 21?
18
Calculate the remainder when 2178 is divided by 422.
68
What is the remainder when 693 is divided by 25?
18
Calculate the remainder when 414 is divided by 13.
11
What is the remainder when 90 is divided by 20?
10
What is the remainder when 2247 is divided by 30?
27
Calculate the remainder when 273 is divided by 12.
9
What is the remainder when 256 is divided by 38?
28
Calculate the remainder when 2499 is divided by 125.
124
Calculate the remainder when 154 is divided by 85.
69
Calculate the remainder when 973 is divided by 39.
37
Calculate the remainder when 69 is divided by 27.
15
Calculate the remainder when 2740 is divided by 48.
4
Calculate the remainder when 86 is divided by 15.
11
What is the remainder when 29 is divided by 18?
11
What is the remainder when 453 is divided by 51?
45
Calculate the remainder when 11661 is divided by 17.
16
Calculate the remainder when 58 is divided by 29.
0
Calculate the remainder when 1217 is divided by 20.
17
Calculate the remainder when 6497 is divided by 10.
7
What is the remainder when 1332 is divided by 661?
10
Calculate the remainder when 293 is divided by 97.
2
Calculate the remainder when 10084 is divided by 194.
190
What is the remainder when 481 is divided by 122?
115
Calculate the remainder when 43 is divided by 23.
20
What is the remainder when 2060 is divided by 9?
8
What is the remainder when 434 is divided by 154?
126
What is the remainder when 514 is divided by 89?
69
Calculate the remainder when 340 is divided by 113.
1
Calculate the remainder when 453 is divided by 60.
33
Calculate the remainder when 72 is divided by 45.
27
Calculate the remainder when 889 is divided by 228.
205
Calculate the remainder when 1509 is divided by 12.
9
What is the remainder when 299 is divided by 120?
59
Calculate the remainder when 676 is divided by 114.
106
Calculate the remainder when 885 is divided by 125.
10
Calculate the remainder when 205 is divided by 26.
23
What is the remainder when 130 is divided by 27?
22
What is the remainder when 225 is divided by 6?
3
What is the remainder when 148 is divided by 34?
12
Calculate the remainder when 83 is divided by 29.
25
Calculate the remainder when 577 is divided by 9.
1
Calculate the remainder when 871 is divided by 40.
31
What is the remainder when 61 is divided by 15?
1
Calculate the remainder when 646 is divided by 10.
6
What is the remainder when 290 is divided by 77?
59
Calculate the remainder when 1198 is divided by 109.
108
What is the remainder when 21364 is divided by 23?
20
Calculate the remainder when 3126 is divided by 33.
24
Calculate the remainder when 176 is divided by 81.
14
What is the remainder when 4289 is divided by 30?
29
Calculate the remainder when 388 is divided by 49.
45
What is the remainder when 264 is divided by 213?
51
What is the remainder when 1015 is divided by 8?
7
Calculate the remainder when 441 is divided by 234.
207
Calculate the remainder when 1411 is divided by 206.
175
What is the remainder when 221 is divided by 65?
26
What is the remainder when 368 is divided by 41?
40
Calculate the remainder when 186 is divided by 3.
0
Calculate the remainder when 1149 is divided by 117.
96
Calculate the remainder when 1238 is divided by 59.
58
What is the remainder when 6273 is divided by 7?
1
What is the remainder when 2115 is divided by 36?
27
What is the remainder when 115 is divided by 47?
21
What is the remainder when 106 is divided by 18?
16
What is the remainder when 162 is divided by 19?
10
What is the remainder when 611 is divided by 18?
17
What is the remainder when 2038 is divided by 107?
5
Calculate the remainder when 259 is divided by 68.
55
What is the remainder when 6294 is divided by 3142?
10
What is the remainder when 87 is divided by 30?
27
What is the remainder when 118 is divided by 20?
18
What is the remainder when 516 is divided by 152?
60
What is the remainder when 438 is divided by 5?
3
Calculate the remainder when 38 is divided by 13.
12
What is the remainder when 156 is divided by 42?
30
Calculate the remainder when 240 is divided by 28.
16
Calculate the remainder when 196 is divided by 6.
4
What is the remainder when 299 is divided by 41?
12
Calculate the remainder when 341 is divided by 27.
17
What is the remainder when 4792 is divided by 109?
105
Calculate the remainder when 95 is divided by 35.
25
Calculate the remainder when 346 is divided by 25.
21
What is the remainder when 84 is divided by 30?
24
What is the remainder when 92 is divided by 16?
12
Calculate the remainder when 2534 is divided by 65.
64
What is the remainder when 333 is divided by 81?
9
What is the remainder when 1444 is divided by 78?
40
Calculate the remainder when 2629 is divided by 94.
91
Calculate the remainder when 61 is divided by 34.
27
What is the remainder when 375 is divided by 47?
46
What is the remainder when 560 is divided by 141?
137
Calculate the remainder when 131 is divided by 45.
41
Calculate the remainder when 244 is divided by 134.
110
What is the remainder when 497 is | {
"pile_set_name": "DM Mathematics"
} |
as b*p + u + v*p**2 + z*p**3 and give v.
2
Express -105*j**4 + 14*j**4 + 2*j + 3*j**2 + j**3 + 95*j**4 as o*j**3 + y*j + g*j**2 + l*j**4 + a and give o.
1
Express (63570 + 3222*o**2 - 63570)*(0*o**2 + 0*o**2 + o**2) in the form h*o + i*o**2 + v*o**3 + j*o**4 + q and give q.
0
Express (2 - 2 - 6)*(2*t - 2*t + 2*t) - 75*t + 279*t + 198*t as n*t + v and give n.
390
Rearrange (o**2 - o**2 + o**2)*(7835 + 66353 + 44242 - 24998 + 33928 + 28929) to the form a*o**2 + g + j*o and give a.
156289
Express 4 - 2148*o**4 - o**3 + 5*o + 4268*o**4 - 2119*o**4 + 4*o**2 + 0*o**3 as u*o**4 + s + f*o + c*o**2 + p*o**3 and give c.
4
Express 28*x**3 + 25*x**3 - 51*x**3 + 36*x - 34*x**2 + 45*x**2 in the form d*x**2 + j + t*x**3 + o*x and give t.
2
Rearrange (11*b + b - 3*b)*(214 - 123 + 307)*(2 - 2 - 2*b) to i*b**2 + v*b + f and give i.
-7164
Express (0 + 1 + 4)*(0 - 5 + 3)*((-2*j - 2*j + 2*j)*(1 - 1 + 2*j) + 7518 - 7518 + 2448*j**2) as u + i*j**2 + k*j and give i.
-24440
Rearrange 3*p - 8*p + 5*p + 3611 + 10*p - 8*p to f*p + w and give f.
2
Express (-77*h - 29*h**2 + 77*h)*(-6*h - 191*h - 107*h) as u*h**3 + v*h + c*h**2 + j and give u.
8816
Rearrange (1 + 6 + 11)*(-8*f**2 + 3*f**2 - 2*f**2) - 3*f**2 + 3*f - 3 + 4 - f to z + i*f + r*f**2 and give z.
1
Express 103 + 1323*r**2 - 121 + 19 in the form u*r**2 + k*r + g and give u.
1323
Rearrange 2 - 7*m**3 - 3744881*m**4 + 3744864*m**4 - m**3 + 0*m**3 - 2*m**2 - 2*m to the form k*m + t*m**2 + l*m**4 + s*m**3 + a and give a.
2
Rearrange (-10*g - 2*g + 6*g - 3*g - 5 + 5 + (3*g - g - 3*g)*(4 - 5 + 3) - 4*g + 4*g - g)*(-1 + 0 - 1 - 3*g) to the form o*g + a*g**2 + w and give o.
24
Express (-17*u - 319 + 319)*(-u + u - 2*u) + (-1 + 2*u + 1)*(-30*u + 883 - 883) as f*u**2 + a + q*u and give f.
-26
Rearrange -239 + 48*q**3 - 45*q**3 + 41 - 2*q**2 to d*q**2 + g*q + b*q**3 + w and give b.
3
Rearrange -15 - 664*g + 16 + 155*g to the form u*g + l and give u.
-509
Rearrange (185 + 129 - 6 + (0 - 2 + 0)*(2 - 2 + 1) - 4 + 0 + 2 + (5 - 4 + 2)*(-2 + 2 + 1))*(-4*p + 2*p + 3*p) to the form i*p + q and give i.
307
Rearrange (-220 + 179 - 78*z + 76*z)*(3 + z - 5 + z - 2*z**2) to j*z**3 + u*z**2 + n*z + h and give h.
82
Express 5*f**2 - 433 - 4653 - 4*f**2 - 447 in the form n + q*f**2 + o*f and give q.
1
Express -5153 + 893980*r**2 - r**3 - 893980*r**2 as u*r + d*r**2 + j*r**3 + l and give l.
-5153
Express 3 - 7 - 6*c**4 + 4*c + 6 - 23*c**4 - 2*c**3 + 6 - c**2 in the form n + r*c**3 + d*c**4 + p*c**2 + t*c and give n.
8
Express 49*o - 236*o + 10*o + 0 + 0 + o + (-3 + 2 + 0)*(2*o + o - 5*o) + (141 - 242 + 150)*(0*o + 0*o - 2*o) as d + m*o and give m.
-272
Rearrange -16*f - 77*f - 537791*f**2 + 537874*f**2 to the form x*f + n + w*f**2 and give n.
0
Express 216*q + 438*q - 208*q in the form o*q + f and give o.
446
Rearrange (3 + 7 - 4)*(-361*s - 393*s + 207*s) to x*s + m and give x.
-3282
Express -3 - 13*j**3 + 582997*j**2 - 2*j - 582995*j**2 + 6 - 161*j as c*j**2 + p*j + l*j**3 + q and give p.
-163
Rearrange 2 - 2 + 3*l + 7*l - 5*l - 8*l + 3*l - 3*l - 7*l + (0*l - 2*l - l)*(0 + 0 + 1) to the form u*l + h and give u.
-13
Express 254 - 22 - 3*v**2 - 13*v + 0*v**2 - 212 in the form l*v**2 + i + m*v and give i.
20
Express (-3604 + 153 + 705 - 4807)*(8*r**2 - 1 + 1) as u*r + v + j*r**2 and give j.
-60424
Rearrange (7 - 6 - 2)*(2 - 2 - 4)*(-11*w + 55*w - 31*w)*(1 + 2 - 5)*(5 - 4 - 2) to the form h*w + n and give h.
104
Rearrange 2*s**2 + 1325 + 1162 + 2*s - 2663 to the form q + u*s**2 + w*s and give u.
2
Rearrange 205*f**2 + 9 + 5*f**2 - 7 + 82*f**2 + 83*f**2 to the form q*f**2 + y + p*f and give y.
2
Express 28417*g**2 - 28417*g**2 - 4*g**3 - 25 - 5*g + 2*g**4 as n + w*g**4 + y*g**3 + v*g**2 + h*g and give h.
-5
Rearrange (-3 - 3 + 4)*(1 + y**2 - 1) + y + 713*y**2 - 2 + 199*y**2 + 2*y**2 to d*y + p + t*y**2 and give d.
1
Rearrange (0*s**2 + 4*s**2 - 3*s**2)*(919*s - 3 - 454*s - 432*s) + (-s + 0 + 0)*(s**2 + 2*s**2 - 4*s**2) to g*s + p*s**2 + w*s**3 + z and give w.
34
Express (12 - 7*a - 12)*(19 + 943 + 44) as y + q*a and give q.
-7042
Express -47*r**3 + 6*r**4 - 110*r**2 + 1 - 7*r**4 + 108*r**2 in the form k*r**3 + s*r**2 + m*r**4 + l*r + p and give p.
1
Express (0*z**2 + 5*z**2 - z**2)*(111 + 76 + 128 - 36) in the form h*z**2 + t*z + x and give h.
1116
Rearrange (6 - 6*m - 2 - 2)*(7317 - 2765 + 2126 + 5437) to k + l*m and give l.
-72690
Express (61*q**2 - 1735*q + 1735*q)*(-16 + 21 + 2*q + 3*q) as j*q**3 + w*q**2 + a + y*q and give w.
305
Express 13*m - 2*m**2 - 2*m - 34*m**3 - 729 + 732 as n*m**3 + x*m**2 + f + s*m and give x.
-2
Express ((2 - 3 + 0)*(-2*s + s + 2*s) + 2 + s - 2 + (0*s - s - 4*s)*(-36 + 11 + 151))*(s**3 - 2*s**3 - 2*s**3) as k + r*s + y*s**3 + f*s**2 + l*s**4 and give l.
1890
Express -8165*v**3 + 8165*v**3 + 2*v**4 + 3 + 125*v + v**2 in the form s*v**3 + h*v + o*v**2 + d*v**4 + i and give i.
3
Rearrange -689*j**2 + 597*j - 597*j + (2*j + 2*j - 5*j)*(2*j - 5*j + 5*j) to the form d*j + b + l*j**2 and give l.
-691
Express (6*a + 2*a + 3*a)*(-4582 + 2293 - 5*a + 2287 + 3*a - 2567*a**2) as w*a + c + l*a**3 + k*a**2 and give k.
-22
Rearrange (-2*g - g + 6*g)*(4*g**2 - 75 + 3017111*g**3 - 3017112*g**3 - 6*g - 20) to y*g + w*g**4 + h*g**2 + n*g**3 + x and give w.
-3
Rearrange 462*t**2 - 553*t**2 - 214*t**2 + 4 - 5 to b*t**2 + y + k*t and give b.
-305
Rearrange 528 - 537 + f**2 + 631 - f to the form g*f + z + d*f**2 and give z.
622
Express (-2*u + 0 + 0)*(-459 - 18*u + 459) - u**2 + 4*u**2 - u**2 + (-2*u**2 - 3*u**2 + u**2)*(0 - 21 + 6) as j*u**2 + p*u + k and give j.
98
Express 115379 + 929*m**2 - 115379 + (-4*m + 2*m + m)*(1 + 2*m - 1) in the form b*m + l*m**2 + y and give l.
927
Express (-23*t - 70*t - 193*t)*(3*t - 2*t - 3*t)*(3 - 3 - 2*t) as c + o*t**2 + w*t + p*t**3 and give p.
-1144
Rearrange (g**3 + g**3 + 0*g - 3*g)*(-487 - 428 + 12*g - 11*g) to q*g**2 + d*g**4 + r*g + x*g**3 + w and give q.
-3
Express 279*g**2 - 7*g - 285*g**2 + 8*g - g**3 + 63 - g in the form s*g + p + c*g**3 + z*g**2 and give p.
63
Rearrange (5 - 1 - 1)*(-4 + 1 + 4)*(0 + 0 - 6)*((-25*b - 264*b - 64*b)*(2 + 2 - 6) + 4 - 4 - 3*b) to the form u + t*b and give t.
-12654
Express -751*q - 376*q - 759*q + 529*q - 240*q as z*q + y and give z.
-1597
Rearrange 5*c - 2*c**2 - 5*c + (11*c - 1295 + 626 + 622)*(-2*c + 1 - 1) to the form v + p*c + d*c**2 and give p.
94
Rearrange (1 - 1 - 2*n**2)*(-1661*n**2 + 3441*n**2 - 1679*n**2) + 2*n**2 - n**2 - 2*n**4 - 5*n**2 to the form r*n + o*n**3 + q*n**4 + u + y*n**2 and give u.
0
Express -53*l**2 + 2*l - 10*l**3 + 174*l**2 + 8*l**4 - 61*l**2 - 65*l**2 in the form p*l + b*l**2 + u + v*l**3 + k*l**4 and give k.
8
Rearrange (-5 - 2*i + 5 + (1 + 0 + 0)*(5*i + 3*i - 4*i) + (4 + 1 - 2)*(i - 3*i - 3*i))*(1 - 4 - 4) + 4*i + 5*i - 2*i to the form f*i + b and give f.
98
Rearrange (-3 + 5 - 1)*(-o - 3288 + 153*o**2 + 9799*o**3 - 9802*o**3 + 3286) to p + r*o**2 + b*o**3 + d*o and give p.
-2
Rearrange (3*j - j - 3*j)*((-117 + 223 + 49)*(-3 + 5 - 1) + (13 + 10 - 10)*(-3 + 6 - 2)) to b*j + f and give b.
-168
Rearrange -13*v + 1185*v + 1447*v - 534*v + 792*v to z*v + m and give z.
2877
Express 180011 + 3*o - 2*o - 180005 - 4*o**2 - 12*o**2 as a + d*o**2 + u*o and give d.
-16
Rearrange 2 + 1877*x**2 + 2*x + 106*x**3 - 109*x**3 - 2448*x**2 to the form v*x + a*x**2 + y + d*x**3 and give d.
-3
Rearrange 3*y - 187*y**3 + 370*y**2 - 334*y**2 + 185*y**3 - 2 to l*y**3 + u*y**2 + d + b*y and give u.
36
Express -484312*c**2 + 5*c**3 + 3*c + 0*c**4 + 15 + 2*c**4 + 484312*c**2 as z*c + l*c**4 + f*c**2 + q + n*c**3 and give l.
2
Express 24 - 39 + 278 + 31*t**2 + 167 - 33*t**2 as m + s*t**2 + w*t and give s.
-2
Rearrange (-2*j - 2*j - 1 + 6*j)*(-4 + 2 + 0)*(-65*j - 57*j + 120*j - 34) to the form c + t*j**2 + d*j and give d.
132
Rearrange 17*f - 7 - 35*f**3 - 6*f - 13*f to the form x*f + c*f**3 + s*f**2 + i and give c.
-35
Rearrange (6 - 1 - 3)*(501 + 5256 - 60)*(-x**2 + 2*x**2 + 0*x**2) to g*x**2 + y + j*x and give g.
11394
Rearrange 3 + 42*w**2 - 1 - 43*w**2 + (-7 + 5 - 3)*(3*w**2 - 4*w + 4*w) to v + m*w**2 + a*w and give m.
-16
Rearrange (-v - 4*v + 4*v)*(0 + 4 - 5) + (-2 + 2 - 2*v)*(2 + 0 + 5)*(0 - 4 + 5) + 16*v - 84*v - 49*v to i + o*v and give o.
-130
Rearrange (125 - 125 - 5*i)*(-12579 - 2*i**3 + 12645 + 4*i**3) to the form s*i + u*i**2 + b*i**3 + y | {
"pile_set_name": "DM Mathematics"
} |
b: 2, j: 2}. What is prob of picking 1 b, 1 j, and 2 a?
8/165
Three letters picked without replacement from ossiisi. Give prob of picking 2 i and 1 s.
9/35
What is prob of picking 1 t and 2 q when three letters picked without replacement from {q: 11, z: 7, t: 2}?
11/114
Three letters picked without replacement from {m: 9}. Give prob of picking 3 m.
1
What is prob of picking 1 f and 1 i when two letters picked without replacement from {a: 1, z: 2, i: 7, k: 2, f: 2, y: 2}?
7/60
Four letters picked without replacement from acaahhvhhcopva. What is prob of picking 2 h and 2 c?
6/1001
Three letters picked without replacement from {d: 2, s: 13, j: 5}. What is prob of picking 2 d and 1 j?
1/228
Three letters picked without replacement from {s: 5, i: 3, y: 3, f: 1, u: 8}. What is prob of picking 3 i?
1/1140
Calculate prob of picking 1 o, 1 e, and 1 i when three letters picked without replacement from {i: 1, e: 4, o: 3}.
3/14
Calculate prob of picking 2 e when two letters picked without replacement from nerenne.
1/7
Four letters picked without replacement from jfebfe. Give prob of picking 1 j, 1 e, and 2 f.
2/15
Calculate prob of picking 1 a, 2 h, and 1 n when four letters picked without replacement from ahsnsxnsxnahsxs.
2/455
Four letters picked without replacement from {l: 1, s: 4, p: 2, w: 2}. Give prob of picking 3 s and 1 p.
4/63
Four letters picked without replacement from {d: 6, v: 4, s: 9}. Give prob of picking 3 v and 1 s.
3/323
What is prob of picking 2 b and 1 v when three letters picked without replacement from {r: 3, v: 7, b: 7, y: 2, n: 1}?
49/380
Three letters picked without replacement from wwwwvwww. What is prob of picking 3 w?
5/8
Calculate prob of picking 1 d and 2 e when three letters picked without replacement from ttttwewtetwtttwwwd.
1/816
Calculate prob of picking 1 q and 1 h when two letters picked without replacement from {o: 1, q: 4, h: 1, w: 1, m: 2}.
1/9
Three letters picked without replacement from qlzzlzqlqylzyvztqz. What is prob of picking 1 l, 1 y, and 1 z?
1/17
Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {e: 2, c: 2}.
2/3
Three letters picked without replacement from gzznzczznncezzzcezgz. Give prob of picking 1 n and 2 e.
1/380
Three letters picked without replacement from ssfsfsffsfsfssssss. What is prob of picking 3 s?
55/204
Three letters picked without replacement from {d: 7, x: 9}. Give prob of picking 3 x.
3/20
Two letters picked without replacement from wncnp. What is prob of picking 1 n and 1 c?
1/5
Two letters picked without replacement from tby. What is prob of picking 1 t and 1 y?
1/3
Two letters picked without replacement from {f: 1, v: 1, p: 1, a: 2, n: 1, m: 1}. What is prob of picking 1 a and 1 v?
2/21
Calculate prob of picking 2 j and 1 s when three letters picked without replacement from jjsjjiijsjjjjsj.
27/91
Two letters picked without replacement from rhffrffh. Give prob of picking 1 r and 1 h.
1/7
Two letters picked without replacement from kkruuuu. Give prob of picking 2 u.
2/7
Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {x: 2, e: 5}.
10/21
Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {a: 1, q: 11, m: 4, v: 1, t: 1}.
4/153
Calculate prob of picking 2 b when two letters picked without replacement from cbbcbbbcbbbcbb.
45/91
What is prob of picking 2 m and 1 p when three letters picked without replacement from {e: 1, p: 2, i: 5, m: 8}?
1/10
What is prob of picking 2 h when two letters picked without replacement from hhgg?
1/6
Three letters picked without replacement from {w: 3, o: 5}. What is prob of picking 3 o?
5/28
Two letters picked without replacement from aakkwwwa. Give prob of picking 2 w.
3/28
Four letters picked without replacement from nernrgr. What is prob of picking 2 r and 2 n?
3/35
What is prob of picking 2 c, 1 s, and 1 p when four letters picked without replacement from {c: 5, p: 2, s: 7, u: 3}?
1/17
What is prob of picking 2 a when two letters picked without replacement from {a: 5, c: 2}?
10/21
Three letters picked without replacement from zhrte. Give prob of picking 1 r, 1 e, and 1 z.
1/10
Three letters picked without replacement from pykkpiknpinp. Give prob of picking 1 k, 1 y, and 1 p.
3/55
Two letters picked without replacement from {n: 1, d: 2, l: 3, o: 1, s: 2, z: 3}. What is prob of picking 1 n and 1 z?
1/22
Three letters picked without replacement from {b: 12, n: 3}. Give prob of picking 1 n and 2 b.
198/455
Calculate prob of picking 2 w when two letters picked without replacement from {e: 9, w: 3}.
1/22
Four letters picked without replacement from {k: 6, q: 7}. Give prob of picking 1 q and 3 k.
28/143
Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {c: 2, b: 7, y: 1, i: 2, p: 3, f: 3}.
14/153
Two letters picked without replacement from xxxiixix. What is prob of picking 2 x?
5/14
Calculate prob of picking 4 r when four letters picked without replacement from {r: 9, d: 2}.
21/55
What is prob of picking 1 s and 3 u when four letters picked without replacement from ususuuuuu?
5/9
Three letters picked without replacement from wyyifis. What is prob of picking 1 s, 1 w, and 1 f?
1/35
Two letters picked without replacement from {l: 1, h: 2, e: 2, g: 4}. What is prob of picking 1 l and 1 h?
1/18
Three letters picked without replacement from {k: 9, m: 3, f: 4, n: 4}. What is prob of picking 1 n, 1 k, and 1 m?
9/95
Calculate prob of picking 2 h when two letters picked without replacement from {h: 3, e: 1}.
1/2
What is prob of picking 2 h and 2 y when four letters picked without replacement from {h: 1, u: 4, y: 6}?
0
Calculate prob of picking 1 z and 1 v when two letters picked without replacement from bvbppvzvzv.
8/45
Two letters picked without replacement from xxfxfx. Give prob of picking 2 f.
1/15
Four letters picked without replacement from kjjokhjlloooopj. What is prob of picking 2 o and 2 k?
2/273
Calculate prob of picking 3 o and 1 b when four letters picked without replacement from {o: 5, b: 2, s: 13}.
4/969
Calculate prob of picking 1 i and 1 d when two letters picked without replacement from {n: 5, d: 5, a: 6, i: 4}.
2/19
Four letters picked without replacement from iabaagbbab. Give prob of picking 4 b.
1/210
What is prob of picking 1 l and 1 q when two letters picked without replacement from qxxqqxxxlqxxqqqqx?
1/17
Two letters picked without replacement from {s: 1, j: 1, n: 1}. Give prob of picking 1 n and 1 j.
1/3
Three letters picked without replacement from {g: 5, p: 8}. What is prob of picking 3 p?
28/143
What is prob of picking 1 a and 1 l when two letters picked without replacement from {x: 7, j: 3, q: 1, l: 1, a: 7}?
7/171
Three letters picked without replacement from mwwmwwwmmmmmmwwm. Give prob of picking 3 m.
3/20
Four letters picked without replacement from {t: 3, g: 8}. Give prob of picking 1 t and 3 g.
28/55
Calculate prob of picking 2 n when two letters picked without replacement from nnbnnnnnbbn.
28/55
Calculate prob of picking 1 x, 1 e, and 1 l when three letters picked without replacement from ugxel.
1/10
Calculate prob of picking 2 x, 1 j, and 1 o when four letters picked without replacement from {w: 3, o: 3, x: 1, u: 3, j: 1}.
0
Three letters picked without replacement from lpalllampllllmlalpmm. Give prob of picking 3 a.
1/1140
Three letters picked without replacement from ijajacaia. Give prob of picking 1 i, 1 c, and 1 j.
1/21
What is prob of picking 1 r, 1 t, and 1 m when three letters picked without replacement from {r: 1, t: 5, h: 1, m: 4}?
4/33
Three letters picked without replacement from {c: 2, h: 1, p: 2}. What is prob of picking 2 p and 1 h?
1/10
What is prob of picking 1 t, 2 d, and 1 c when four letters picked without replacement from vdchdtttdtt?
1/22
Two letters picked without replacement from lyzoh. What is prob of picking 1 l and 1 h?
1/10
Two letters picked without replacement from {t: 7, m: 12}. Give prob of picking 2 t.
7/57
Three letters picked without replacement from {d: 2, h: 1, s: 1, c: 3, n: 5, i: 1}. Give prob of picking 1 s, 1 i, and 1 n.
5/286
What is prob of picking 2 f and 2 a when four letters picked without replacement from mdmfdfioffmomomadfaf?
1/323
What is pr | {
"pile_set_name": "DM Mathematics"
} |
6/91
Calculate prob of sequence pzfw when four letters picked without replacement from qpqppfppzqqjwqpjpzzz.
7/29070
What is prob of sequence jjvl when four letters picked without replacement from {j: 2, i: 1, l: 1, v: 1}?
1/60
What is prob of sequence xxcc when four letters picked without replacement from cxcxxcxxxx?
1/20
Two letters picked without replacement from zatpaanpzkaakzaatpaa. What is prob of sequence nt?
1/190
What is prob of sequence hvhg when four letters picked without replacement from izghaviiihihg?
1/1430
Four letters picked without replacement from {f: 1, s: 3, d: 4, o: 4, b: 2}. What is prob of sequence ddbf?
1/1001
Calculate prob of sequence ev when two letters picked without replacement from {v: 3, e: 5}.
15/56
Three letters picked without replacement from {g: 5, h: 3, u: 1, j: 3, n: 7}. What is prob of sequence jgj?
5/969
Calculate prob of sequence tx when two letters picked without replacement from {x: 6, h: 2, y: 9, t: 1}.
1/51
What is prob of sequence ne when two letters picked without replacement from wbwwnnennbs?
2/55
What is prob of sequence oyyv when four letters picked without replacement from yvovovovvvyvyyvo?
4/455
What is prob of sequence pc when two letters picked without replacement from {o: 1, l: 5, s: 1, c: 1, d: 11, p: 1}?
1/380
Calculate prob of sequence akm when three letters picked without replacement from mkkakkkaaaa.
5/198
Calculate prob of sequence xpxc when four letters picked without replacement from pdpdxpxdcppxdcdxddd.
5/3876
Three letters picked without replacement from {v: 2, z: 4, h: 8}. What is prob of sequence hzv?
8/273
Three letters picked without replacement from {f: 4, b: 2, v: 6}. Give prob of sequence vfb.
2/55
What is prob of sequence hj when two letters picked without replacement from jhjahajjj?
5/36
What is prob of sequence iii when three letters picked without replacement from iii?
1
Three letters picked without replacement from {b: 8, v: 3, o: 2, w: 1, s: 5}. What is prob of sequence vbw?
4/969
Three letters picked without replacement from {z: 2, q: 6, k: 2, e: 4, h: 4, l: 2}. What is prob of sequence lhk?
2/855
What is prob of sequence hh when two letters picked without replacement from sxxssxshxxsxsshrshxh?
3/95
Calculate prob of sequence xrxk when four letters picked without replacement from {x: 2, r: 4, i: 3, k: 1, j: 4, h: 1}.
1/4095
What is prob of sequence ryyr when four letters picked without replacement from xrrryyrryy?
1/21
What is prob of sequence cnc when three letters picked without replacement from nnc?
0
What is prob of sequence lkkl when four letters picked without replacement from {k: 2, l: 7}?
1/36
Two letters picked without replacement from {m: 1, g: 8, v: 2, b: 2, r: 1, t: 1}. What is prob of sequence vt?
1/105
Calculate prob of sequence jw when two letters picked without replacement from wjee.
1/12
What is prob of sequence jjv when three letters picked without replacement from {j: 3, v: 5}?
5/56
Two letters picked without replacement from {d: 10}. What is prob of sequence dd?
1
What is prob of sequence po when two letters picked without replacement from {p: 1, e: 1, b: 1, o: 1, j: 1}?
1/20
Calculate prob of sequence kkf when three letters picked without replacement from {f: 3, k: 2}.
1/10
Four letters picked without replacement from {p: 1, j: 3, u: 1}. Give prob of sequence jjuj.
1/20
Two letters picked without replacement from cwwcwwcfswc. Give prob of sequence sw.
1/22
Four letters picked without replacement from {m: 9, s: 2, o: 1, f: 2}. What is prob of sequence fofm?
3/4004
Three letters picked without replacement from lldldllllllldll. What is prob of sequence ddl?
12/455
What is prob of sequence uee when three letters picked without replacement from {u: 2, e: 7}?
1/6
Calculate prob of sequence kzk when three letters picked without replacement from {z: 2, k: 5, y: 4}.
4/99
Calculate prob of sequence kt when two letters picked without replacement from {h: 1, k: 1, r: 2, i: 6, t: 3}.
1/52
Two letters picked without replacement from {v: 1, y: 11, m: 1, s: 4}. What is prob of sequence sm?
1/68
Three letters picked without replacement from sssssvss. What is prob of sequence ssv?
1/8
Calculate prob of sequence sksr when four letters picked without replacement from rrkrrrrrsrr.
0
Four letters picked without replacement from {b: 9, c: 2, o: 3, d: 3}. Give prob of sequence bdbd.
9/1190
Four letters picked without replacement from {k: 3, c: 1, l: 6, x: 3, o: 2}. Give prob of sequence kxoc.
1/1820
Two letters picked without replacement from jyyzz. Give prob of sequence zy.
1/5
What is prob of sequence md when two letters picked without replacement from mmmdmmmmmmmmmmmmmm?
1/18
Calculate prob of sequence cc when two letters picked without replacement from cununyuyyycu.
1/66
Two letters picked without replacement from {x: 1, z: 4, n: 3, t: 4, b: 5, w: 1}. What is prob of sequence wz?
2/153
Four letters picked without replacement from xuxu. Give prob of sequence uuuu.
0
Calculate prob of sequence ppd when three letters picked without replacement from {p: 2, d: 8}.
1/45
Three letters picked without replacement from {r: 4, q: 10}. Give prob of sequence rqr.
5/91
Two letters picked without replacement from vhvvzhzhzzz. Give prob of sequence hv.
9/110
Calculate prob of sequence ffll when four letters picked without replacement from {l: 6, f: 2}.
1/28
Calculate prob of sequence qj when two letters picked without replacement from {q: 4, s: 4, j: 3}.
6/55
What is prob of sequence fe when two letters picked without replacement from {s: 4, f: 2, e: 4, g: 2}?
2/33
Four letters picked without replacement from {q: 2, k: 5, n: 8}. Give prob of sequence knkk.
4/273
What is prob of sequence hdy when three letters picked without replacement from {d: 2, i: 1, j: 1, k: 1, h: 1, y: 1}?
1/105
What is prob of sequence ukr when three letters picked without replacement from urrpprkpurpurrup?
1/140
Calculate prob of sequence ada when three letters picked without replacement from saaudss.
1/105
Three letters picked without replacement from {o: 8, g: 5, u: 3}. What is prob of sequence ugu?
1/112
What is prob of sequence rr when two letters picked without replacement from rurrrur?
10/21
Three letters picked without replacement from xxxxxjxxjxxxjxxxjxx. Give prob of sequence xxx.
455/969
Calculate prob of sequence qqgq when four letters picked without replacement from {q: 7, g: 7}.
35/572
Three letters picked without replacement from tzhiizstg. Give prob of sequence zhz.
1/252
Calculate prob of sequence hljl when four letters picked without replacement from hhlhlljllhl.
1/66
Calculate prob of sequence hd when two letters picked without replacement from {p: 1, f: 2, d: 2, u: 1, h: 1, l: 1}.
1/28
Two letters picked without replacement from yyysykykkyyl. What is prob of sequence kk?
1/22
Three letters picked without replacement from taaaaataaaaaa. Give prob of sequence tat.
1/78
Four letters picked without replacement from nnnnudnunnnunulunnn. Give prob of sequence dlnu.
5/7752
Two letters picked without replacement from qbhvbabsvssvbhhvb. What is prob of sequence qb?
5/272
Three letters picked without replacement from uwduttoudud. What is prob of sequence utw?
4/495
Calculate prob of sequence sff when three letters picked without replacement from {v: 2, s: 2, l: 4, f: 3}.
2/165
Four letters picked without replacement from mttemtmmetmtttmet. Give prob of sequence meet.
3/595
Two letters picked without replacement from ememkemeqen. What is prob of sequence nq?
1/110
What is prob of sequence eq when two letters picked without replacement from qeqqeeq?
2/7
Two letters picked without replacement from mcmmmmmmmmmm. What is prob of sequence cm?
1/12
What is prob of sequence ii when two letters picked without replacement from {l: 4, q: 1, s: 1, p: 4, i: 3}?
1/26
What is prob of sequence uupp when four letters picked without replacement from pllu?
0
What is prob of sequence iddx when four letters picked without replacement from {u: 3, j: 2, x: 1, d: 3, i: 2, t: 3}?
1/2002
Four letters picked without replacement from fyykymcfmfn. What is prob of sequence nmfk?
1/1320
Four letters picked without replacement from azzasp. Give prob of sequence szap.
1/90
Three letters picked without replacement from {h: 1, | {
"pile_set_name": "DM Mathematics"
} |
/n**11*n**(-10)/n*n**(4/5) assuming n is positive.
n**(-151/5)
Simplify q**(-2/11)/((q*q**(3/5)*q)/q) assuming q is positive.
q**(-98/55)
Simplify (t/((t*t**(-2/13))/t))**(-7/8) assuming t is positive.
t**(-105/104)
Simplify (h/h**(1/2))/(h*h/(h*h**(-1/18))) assuming h is positive.
h**(-5/9)
Simplify (j/j**(-2/3))**(20/9)*j**5*j/j**(1/6) assuming j is positive.
j**(515/54)
Simplify (d**(-1/13))**38 assuming d is positive.
d**(-38/13)
Simplify ((m/(((((m/m**(-1/3))/m*m)/m)/m)/m))/m*m**2*m)/((m/m**1)/(m*m**1)) assuming m is positive.
m**(20/3)
Simplify (r**(3/8)/r*r*r**(6/11))**(1/55) assuming r is positive.
r**(81/4840)
Simplify ((r/r**(-3))**(-13))**44 assuming r is positive.
r**(-2288)
Simplify (d**(1/8)/d)**(-38) assuming d is positive.
d**(133/4)
Simplify (x**(-41)*x)/((x*x**(-7/2))/x) assuming x is positive.
x**(-73/2)
Simplify l**(2/27)*l**(1/22) assuming l is positive.
l**(71/594)
Simplify (c**(-1))**40 assuming c is positive.
c**(-40)
Simplify (h/h**(-25))/h*h*h**(-27)/h assuming h is positive.
h**(-2)
Simplify (w/(w/(w*w*w**(-2/29))))**14 assuming w is positive.
w**(784/29)
Simplify (s**(2/17)*s*s**5)**34 assuming s is positive.
s**208
Simplify (b/(b*b/(b/b**(-6)))*b)**(-19) assuming b is positive.
b**(-133)
Simplify c**(-2/5)/c**9 assuming c is positive.
c**(-47/5)
Simplify y**(-4)/y*y*y*y**(4/11)/y*(y/((y*y/y**1)/y))**(1/25) assuming y is positive.
y**(-989/275)
Simplify s*s/(s/s**(-2/15)*s)*s*s**(-24) assuming s is positive.
s**(-347/15)
Simplify n**(-2)*n**4*(n*n**(-1))**(7/4) assuming n is positive.
n**2
Simplify (q**(2/49)/q**(2/7))**8 assuming q is positive.
q**(-96/49)
Simplify (z**(9/2)*z**(-4/3)/z)**(-43) assuming z is positive.
z**(-559/6)
Simplify (l**(-8))**16 assuming l is positive.
l**(-128)
Simplify (f/((f**(-9)*f)/f))/(f/f**(-5/7))*(f**(-8/7)/f)/f**(-4/5) assuming f is positive.
f**(243/35)
Simplify ((a/a**(-2))/(a/(a*a**(-1/3))))/(((a*a**(-5)/a)/a)/(a/(a*a/(a**(-1/4)/a)))) assuming a is positive.
a**(77/12)
Simplify (j*(j/j**(-1/10)*j)/j*j*j**(-2/3)/j*j)**(-5/2) assuming j is positive.
j**(-73/12)
Simplify (g*g**(1/3)*g/g**(-2))**(3/5) assuming g is positive.
g**(13/5)
Simplify (((j**(-20)*j)/j)/j)**(-46) assuming j is positive.
j**966
Simplify (c/c**0)**(11/8)*(((c**2*c)/c)/c*c)/((c*c*c*c**(-3/5))/c*c) assuming c is positive.
c**(39/40)
Simplify f**(-19/3)/f*f**13 assuming f is positive.
f**(17/3)
Simplify (m*m*m/(((m/(m/m**(2/7)))/m)/m)*m)**(-35)*m**1/m**0 assuming m is positive.
m**(-199)
Simplify (q*q**(2/29))**(30/11) assuming q is positive.
q**(930/319)
Simplify (c**12/c)/c**(-2) assuming c is positive.
c**13
Simplify (c*c**14)/(c/(c/(c**(-1/57)*c))) assuming c is positive.
c**(799/57)
Simplify h/(h/(h/(h*h**(-9))))*h*h*h*h/(h/(h/h**2))*h*(h*h*h/(h*h**(-1/5)))/(h*h**(2/3)) assuming h is positive.
h**(188/15)
Simplify x**(-4)/(x*x/x**(-6/25)) assuming x is positive.
x**(-156/25)
Simplify (j**(-1/2))**(35/6) assuming j is positive.
j**(-35/12)
Simplify ((n/n**5)/n**4)/((n**(-1/9)/n)/(n*n*n**(1/8))) assuming n is positive.
n**(-343/72)
Simplify (d**(-2/27)/d)/d**(-29) assuming d is positive.
d**(754/27)
Simplify (k**(2/9))**(3/4) assuming k is positive.
k**(1/6)
Simplify n**(-4/5)*n*n*n*n**(1/12)*n assuming n is positive.
n**(197/60)
Simplify z**(-2/5)*z**6/z*z**(2/11)/(z/(z**(-1/4)*z)) assuming z is positive.
z**(997/220)
Simplify p**(-5)/(p**(-3/5)*p)*(p*p**9*p)/p*p*p/(p*p*p**(-2/15)*p)*p*p assuming p is positive.
p**(86/15)
Simplify c**28/c**3 assuming c is positive.
c**25
Simplify (g/(g**(-4)*g*g))/(g*g**(-24)*g) assuming g is positive.
g**25
Simplify ((f*f*f**(-2/17)/f)/(f*f**(-5)))**(4/3) assuming f is positive.
f**(332/51)
Simplify ((f*(f**(-2)*f)/f*f*f*f)/f**(-5/3))**(-1) assuming f is positive.
f**(-11/3)
Simplify (b/(b**(1/3)*b))**5 assuming b is positive.
b**(-5/3)
Simplify (r*r*r**(-5)*r**(4/9))/((r/r**4*r)/r**6) assuming r is positive.
r**(49/9)
Simplify ((o*o**5)/o)**(-3/5) assuming o is positive.
o**(-3)
Simplify p*p*(p**(-1/6)*p)/p*p/p**13 assuming p is positive.
p**(-61/6)
Simplify ((g/g**(11/5))/g)/(g/(g**(-27)/g)*g) assuming g is positive.
g**(-161/5)
Simplify ((v*v**(2/7))/(v/v**(3/2)))/(v**(-1/3)*v**5) assuming v is positive.
v**(-121/42)
Simplify (t*t*t**(-6))/t**(-2/45) assuming t is positive.
t**(-178/45)
Simplify (v/v**(-8))/v**(-3/4)*(v*v**(-1)*v*v)**27 assuming v is positive.
v**(255/4)
Simplify (((w/(w**2*w))/w*w)/w)**(-1/9)/(w**(3/7)/(w*w/(w*w**(-4)/w))) assuming w is positive.
w**(124/21)
Simplify (x**0*x)**(-35)/(x**(2/15)/(x/((x/(x/(x*x**2/x*x)))/x))) assuming x is positive.
x**(-542/15)
Simplify (t**4/(t/t**(2/5)))/(t*t**4*t/((t**1*t)/t)) assuming t is positive.
t**(-8/5)
Simplify (d/((d**7/d)/d*d))/(d*d*d**11/d) assuming d is positive.
d**(-17)
Simplify (((b/(b**(1/15)/b*b))/b)/(b*(((b*(b*b*b*b**9)/b)/b*b)/b)/b))/(b**(-2/7))**13 assuming b is positive.
b**(-772/105)
Simplify (z/z**0)**(-20)*z**5*z**(-6) assuming z is positive.
z**(-21)
Simplify (p*p**(4/7))**(-4) assuming p is positive.
p**(-44/7)
Simplify u**(-6)*u**18 assuming u is positive.
u**12
Simplify (d**(-3)*d**(-4))**(-43) assuming d is positive.
d**301
Simplify ((d**(-1/4)*d)/d)**24*d*d*d**(2/9)*d**(-2) assuming d is positive.
d**(-52/9)
Simplify (f/(f*f**(-5/4)))**(3/4) assuming f is positive.
f**(15/16)
Simplify (f*f*f**(2/9))/(f*f*f**(-24)) assuming f is positive.
f**(218/9)
Simplify (v/(v*v**(1/3)*v)*v)**(1/82)/(v**(2/13)/v**(-4)) assuming v is positive.
v**(-13297/3198)
Simplify w*w**26*w*w**25 assuming w is positive.
w**53
Simplify (m/m**13)**(6/13) assuming m is positive.
m**(-72/13)
Simplify (u**(-3)*u**0)/(u**(-5/3)*u*u**(-9)) assuming u is positive.
u**(20/3)
Simplify (d/((d/d**(-15))/d))/d**(-16) assuming d is positive.
d**2
Simplify (n*(n/(n/((n*n**5)/n)))/n*n)/(n*n**(2/11))*(n*n**1)/n**(-4/9) assuming n is positive.
n**(719/99)
Simplify (i**(-8)/i*i)/(((i**(-8/7)*i)/i)/i) assuming i is positive.
i**(-41/7)
Simplify (x**6/x**1)/((x/(x**(2/3)*x))/x*x*x**(-2/15)) assuming x is positive.
x**(29/5)
Simplify ((p**(2/7))**(2/19))**(2/3) assuming p is positive.
p**(8/399)
Simplify (m**(-2/13)*m**(-5))**40 assuming m is positive.
m**(-2680/13)
Simplify r/(r/(r/(r*r**(1/5))))*r*r**(-1/3)*r*(r/((r*r**(1/12))/r))/(r/(r**(-2/5)*r)) assuming r is positive.
r**(119/60)
Simplify (d*d**(2/25)*d)/(d*d**(-19)) assuming d is positive.
d**(502/25)
Simplify (t**(-22)*t)**15 assuming t is positive.
t**(-315)
Simplify (l/l**(2/5))**(-6/11)*((l*l**(1/9))/l)/l*l**(-1/2) assuming l is positive.
l**(-1699/990)
Simplify (c/c**(-4/11)*c)/(c*c**(3/8)) assuming c is positive.
c**(87/88)
Simplify (((r**(1/3)*r)/r*r)**6)**(-45) assuming r is positive.
r**(-360)
Simplify (i/(i*i**(15/8)))/i**(-33) assuming i is positive.
i**(249/8)
Simplify (p**0*p)**(-6/5)/((p/(p*p/(p/(p**(-8)/p*p)*p)))/p**(-1/4)) assuming p is positive.
p**(-209/20)
Simplify (v/(v/((v*v/v**(-2/7))/v))*v)**19/(v/v**(-3))**(-3/29) assuming v is positive.
v**(8900/203)
Simplify k**(-1/55)*k*k/(k/(k**(1/3)*k)) assuming k is positive.
k**(382/165)
Simplify (x/(x/(x*x/(x/(x/(x**(-2/5)*x))*x))))**(-34)*x/(x**1/x)*x/x**(2/9) assuming x is positive.
x**(-532/45)
Simplify (o**(-6/11)*o*o*o**(2/11)/o)**27 assuming o is positive.
o**(189/11)
Simplify (((j/j**(-1/8))/j*j)/(j**6*j))/(j**(-3/8)*j**1) assuming j is positive.
j**(-13/2)
Simplify (m**(-3/28))**22 assuming m is positive.
m**(-33/14)
Simplify (p/p**0)**35*(p/(p/p**5))/(p**3*p*p) assuming p is positive.
p**35
Simplify x**(2/17)/x**3 assuming x is positive.
x**(-49/17)
Simplify ((b*b**(-1))/b*b*b*b/b**(-1/14)*b*b*b)/(b**1)**(42/5) assuming b is positive.
b**(-233/70)
Simplify p**10/(p*p**(-29)) assuming p is positive.
p**38
Simplify ((x/(x*x**(-5)*x))**(-44))**(-16) assuming x is positive.
x**2816
Simplify ((h/((h*h**(-2/9))/h))/h*h)**32*(h/h**(2/5)*h)/h*h/(h/(h*(h*h**(1/7))/h*h*h)) assuming h is positive.
h**(13499/315)
Simplify (p**(1/4)*p)/(p**(-1/2)/p*p)*(p*(p*p/(p/p**(-1)))/p)**(12/11) assuming p is positive.
p**(7/4)
Simplify a**(-10)*a**(-2/49) assuming a is positive.
a**(-492/49)
Simplify w*w*w*(w/w**(1/4))/w*w*w*(w*w/(w**(-3/4)*w))/w*(w**1/w)/w**0 assuming w is positive.
w**(11/2)
Simplify j**9*j*j**(6/7)*j*j assuming j is positive.
j**(90/7)
Simplify (z**(-18))**(-16/5) assuming z is positive.
z**(288/5)
Simplify | {
"pile_set_name": "DM Mathematics"
} |
/((j**8*j*j*(j*j**1/j)/j)/(j**6/(j/j**(-4)))) assuming j is positive.
j**(-4672/273)
Simplify ((v**2)**19*v**(-3/2)/v*v**3)/(v/(v/v**(-9/7))*v*v*v*v**(2/49))**(-17) assuming v is positive.
v**(6697/98)
Simplify (((t*t**(-13))/t)/(t*t**(-8)))**(-9/11)/(t/t**(-3/8)*t**(-5)*t*t**(-7)*t**(-1/7)) assuming t is positive.
t**(9041/616)
Simplify (a/(a**(-29)/a))/(a**(-42/5)*a)*a**(2/79)/(a/a**15) assuming a is positive.
a**(20708/395)
Simplify (l**(-1)*l*l)**(5/3)/(l**(-1/2))**38*(l*l**0*l)**(-16)/(l*l**(2/7)*l)**(-33/2) assuming l is positive.
l**(554/21)
Simplify ((n*n**(6/5))/n*n/n**(1/7)*n)**(-27)/((((n/(n**(-1/3)/n))/n*n)/(n*n**(-3/2)))/(n*n**(1/2)*n)**46) assuming n is positive.
n**(6221/210)
Simplify ((a*a**(1/5))**(-18))**(-1/4)*((a**(-10)*a)/a**9)**(1/77) assuming a is positive.
a**(1989/385)
Simplify (d**10*d**(5/7))**(-35)*(d**(-4/11)*d/d**(1/6))/(d**(-1/6)*d**(-6)*d) assuming d is positive.
d**(-4063/11)
Simplify ((v**1/v)**(29/5))**(-43)*v**(-5)/(v**(-2/13)/v)*v**(-2/3)*v*v*v**4 assuming v is positive.
v**(58/39)
Simplify ((g**0)**(-43))**(-21/2)*((g*g*(g/(g/((g*g*g*g**(-1/3)/g)/g)))/g*g*g)/g**(1/9))**(8/7) assuming g is positive.
g**(256/63)
Simplify ((j**(-5)*j)/((j*(j/j**(-2/5))/j*j)/j))**(9/7)/((j/j**(-1/3))/j*j*(j**(-1/14)/j)/j*j*j)**(2/23) assuming j is positive.
j**(-17032/2415)
Simplify ((s*s**(-4))**31/(s/((s**0/s)/s*s)*s**27))**(-24) assuming s is positive.
s**2928
Simplify ((b**0)**44*b**(-6)/b**0)/(b*b**15*((b**(5/4)/b)/b)/b)**47 assuming b is positive.
b**(-2703/4)
Simplify (((g/(g**2/g*g*g)*g*g)/(g/(g/g**6)*g))/(g*g**(1/4)*g)**19)/((g*g**(-6))/((g/g**5*g)/g)*g**(1/2)*g**(2/3)) assuming g is positive.
g**(-599/12)
Simplify ((b**(-2/3))**44)**(1/38)*(b*b*(b**2*b)/b*b*b*b*(((b*b/(b*b/b**2*b))/b)/b)/b)**(2/25) assuming b is positive.
b**(-106/285)
Simplify ((v*v**(-1/38))/v**32*(v**19*v)**48)**(-2/9) assuming v is positive.
v**(-11767/57)
Simplify (j**(-1/4)/j)**33*(j*j**(-4/9))/(j**18*j) assuming j is positive.
j**(-2149/36)
Simplify ((f*f**(2/33))**(-5/3)*(f*f**(-21))/(f*f*f**2))**(2/99) assuming f is positive.
f**(-5102/9801)
Simplify (j*j/(j*j**(-1/11)/j*j)*j)**(-25)*j/(j**(2/47)*j)*j*j**(29/4) assuming j is positive.
j**(-91127/2068)
Simplify ((((x/((x/(x/x**4))/x))/x*x)/x)**(-30)/((x*x*x**(-15/2)*x*x*x)/x*x**(4/13)/x*x))**35 assuming x is positive.
x**(84805/26)
Simplify (r*r/r**(1/6)*r*r**(-2/17)/r)/(r**(2/5))**(2/15)*((r*r**(-1/2))**(-2/11))**(3/17) assuming r is positive.
r**(15393/9350)
Simplify (d**(-4/7)/d**3)**(3/44)*(d/(d**(-4/9)/d)*d**(2/5))/(d**3/d*d**1) assuming d is positive.
d**(-5531/13860)
Simplify ((((j*j**(-6/19)*j*j)/(j*j*j/(j*j**(-1/10))*j))**31)**(-9/2))**(-35) assuming j is positive.
j**(-154287/76)
Simplify (b**(2/7))**(-17/4)*(b/(b**(1/2)*b)*b)/(b*b**2/b)*(b**(-2))**23/((b/b**(1/2))/b**(-2)) assuming b is positive.
b**(-717/14)
Simplify (n**(2/3))**(-21/8)/((n**0/n)/(n**(-7)/n))*n**(-6/5)*n**(5/3)*(n/n**2)**(4/23) assuming n is positive.
n**(-11671/1380)
Simplify (c**(-2/27)/c*c/c**(-5/2))**(-1/7)/(c**(-2)/c**(1/9))**(1/20) assuming c is positive.
c**(-911/3780)
Simplify (s/((s/(s**(-15)*s))/s)*s**(-1/3)*(s**(-1))**(-1/4))**(-5/8) assuming s is positive.
s**(785/96)
Simplify ((p**1)**(-5/2))**(15/8)*(((p*p/(p*p/(p*p**(2/7))))/p)**28)**(1/16) assuming p is positive.
p**(-67/16)
Simplify (s*s*s**(3/4)*s*s)**(-26)*((s*s**(1/6)/s)/s)**(1/4) assuming s is positive.
s**(-2969/24)
Simplify ((j**(-23/5)*j**(4/7))/(j/(((j/j**(1/6)*j)/j)/j))**(-1/12))**(3/7) assuming j is positive.
j**(-9907/5880)
Simplify o/o**(8/13)*o*(o*o**23)/o*o*(o**(-16)/o)**(-19) assuming o is positive.
o**(4529/13)
Simplify ((w*w/(w**(-1/8)*w))**13*(w**(-2/9))**(-3))**(-3/28) assuming w is positive.
w**(-367/224)
Simplify (((h**(4/11)*h)/(h**(-15)/h*h))/(h*h/(h**(3/7)*h)*h*h/h**(-3/10)))**32 assuming h is positive.
h**(166224/385)
Simplify ((r**(-8/11))**(-3)*(r*(((r*r**(-15))/r)/r)/r)**(-41))**(-5/2) assuming r is positive.
r**(-18100/11)
Simplify ((f/f**(-6))**(2/57)*(f/((f/((f*f*f*f**(1/7)*f*f)/f))/f))/f*f*f**13)**(-1/61) assuming f is positive.
f**(-7337/24339)
Simplify (o/(o/(o*o**(-3/7)/o))*o*o*o*o**(-2/9))**(1/50)*((o/o**(-2/5))**(-30))**(-4/15) assuming o is positive.
o**(17714/1575)
Simplify ((h**(-3)*h*h*h**(3/8))/(h**(-1/5)*h**6))/((h*h*h**6)/h*h**(-8))**(-11/5) assuming h is positive.
h**(-69/8)
Simplify ((z/(z*z/(z**(-7/5)/z)))/(z**(-2/123)*z)*(z*z*z**(-10/7))/((z*z**(-18))/z))**44 assuming z is positive.
z**(2687432/4305)
Simplify q*q**(4/5)/q*q**(-1/2)*(q/(q*q**(-2)*q))**43*((q*q/q**1)/q**(-3))**46 assuming q is positive.
q**(2273/10)
Simplify (r**4*r*r**1)**37*((r**(1/9)/r)/((r**(-2/5)*r)/r))/(r**(-2/5)/(r*((r*r**3/r*r*r)/r)/r*r)) assuming r is positive.
r**(10211/45)
Simplify (((q**1*q**12)/(q**(-2/15)/q*q**(-2)))**(-7/9))**35 assuming q is positive.
q**(-11858/27)
Simplify (((g**5*g)/(g/(g/(g**(-1/12)*g))*g*g))/(g**17)**23)**42 assuming g is positive.
g**(-32585/2)
Simplify (t**(-3/4)*t/(t*t**(1/6)*t*t)*(t**(-1/16)*t)/(t**(-1)*t))/((t**1/(t*(t*t**(-7))/t))/(t**(-1/4)*t/(t**0*t))) assuming t is positive.
t**(-443/48)
Simplify ((((k/k**1*k)/k*k*((k*k*k**(3/4)*k*k)/k)/k)/(k**(-1/2)/(k**4*k)))**(-36))**(-6/17) assuming k is positive.
k**(1998/17)
Simplify ((d/d**(-2/5))/(d*d**(-3)*d))**(-47)*(d*(d*d/(d/(d*d**(-1)))*d*d*d)/d)**(-2/95)/(((d/(d/d**(-2/15)*d))/d)/d**(-5)) assuming d is positive.
d**(-32989/285)
Simplify ((x*x/((x**(-1)/x)/x))/((x*x**11*x*x)/x*x)*(x**(-2)*x)**47)**(2/5) assuming x is positive.
x**(-112/5)
Simplify (b**(3/8)*b/(b/((b*b**(2/7)*b)/b))*(b/b**(-2/5))**(-3/8))/((b**2*b)/(b*b**(-1/2)*b)*b*b**0*b**3) assuming b is positive.
b**(-611/140)
Simplify (a**2*a)/a**(-2/7)*(a/(a**(-1)/a))/(a**1*a*a)*(a*a**3*(a/a**(-2))/a)/(a**(-2/5))**35 assuming a is positive.
a**(163/7)
Simplify ((j/j**2*j)**32)**34/(j**3/(j/(j/j**(-5)))*(j**(1/2))**(-2/13)) assuming j is positive.
j**(-103/13)
Simplify l**(34/3)*l**(-5/8)*l**9*(l*l**(-9))/l assuming l is positive.
l**(257/24)
Simplify ((s*s/s**(-11))**(4/11)/(s*s/(s*s/s**(-2/81)))**(-6))**13 assuming s is positive.
s**(17680/297)
Simplify ((w/(w*w**(-21/4)/w*w)*w)/(w*w**(2/5))*w/w**(-39)*w*w**(-24/7))**(10/17) assuming w is positive.
w**(5939/238)
Simplify ((h**(2/3))**(1/24)*(h/((h/(h/(h/h**0)*h))/h))**(-11/4))/(h**(3/2)*h*h*h**(1/10)*h*h*h**(1/4)/(h/(h**(-3/5)/h*h)*h)) assuming h is positive.
h**(-157/18)
Simplify ((((r*r/(r/(r*r*r**(-2/7)))*r*r*r)/r)**(-2/19)/(r**6*r*r**0*r))**(-1/20))**(-24) assuming r is positive.
r**(-1356/133)
Simplify (u*(u**33*u)/u)**(1/30)/(u**21)**(3/23) assuming u is positive.
u**(-554/345)
Simplify ((b*b/b**(-6)*b)/b*b**(1/2)*b**3/(b*b/(b/(b*b/((b*b**(-1/3)*b)/b)))))/((b**(-2)*b*b**(-4/7)/b*b*b)/(b**(2/3)*b)**(15/2)) assuming b is positive.
b**(467/21)
Simplify (((((c/(c*c/(c/c**0*c)*c))/c)**(28/9))**13)**3)**13 assuming c is positive.
c**(-4732/3)
Simplify (j*j**(-1))**(2/23)*j/(j**(-3)*j)*j/(j/(j/((j**5*j)/j)*j))*(j*j**3/j)/(j*j**(-6))*(j*j**(-1/3))**(10/7) assuming j is positive.
j**(188/21)
Simplify z**(3/5)*z*z/(z/z**41)*((z/(z*z*z**(-15)))/z*z)**(-2/17) assuming z is positive.
z**(3481/85)
Simplify (((n/(n*n/(n/(n**(1/8)*n*n))*n*n))/(n*((n**(-1/6)/n)/n)/n))/(((n/(n/(n/n**(-3))))/n)/n**(-8)))/(n**(1/4)*n**(-1/11))**(-42) assuming n is positive.
n**(-1657/264)
Simplify (a**(-1/24)*a**(2/37)*a**(-2/61)/a**(-13))**(-23) assuming a is positive.
a**(-16170817/54168)
Simplify ((s*s**(-1))/(s/s**(2/55))*s**14*s*s**(5/3)/s)**30 assuming s is positive.
s**(4852/11)
Simplify ((a**(-1/25)*a/a**30*a)/(a**(5/3)/a)**(4/3))**(-6/7) assuming a is positive.
a**(13018/525)
Simplify p*p/p**(-2/15)*p**(-7)*(p/(p/((p*p/(p*((p/(((p*p**6)/p)/p))/p)/p))/p)*p))/((p*p*p**3*p*p)/p)*(p**0/p**(-1/2))/(p**0)**(-1/11) assuming p is positive.
p**(-161/30)
Simplify ((p**7*p)**(2/23)/(p**(7/6)/p*p**(-4/19)))**(-6/13) assuming p is positive.
p**(-1939/5681)
Simplify (((d**8*d/(((d/d**0)/d*d)/d))/((((d*d**(1/4))/d)/d*d)/d)**(-23/5))**(-18/7))**(4/39) assuming d is positive.
d**(-666/455)
Simplify ((m*m*m**(-9))/((m**6*m*m*m)/m))**(-1/13)*m/m**(-5/4)*m**3*m*m**1*m*m**(2/9) assuming m is positive.
m**(4505/468)
Simplify ((h**(1/3))**(1/20)/(((h*(h/h**(-2/5))/h)/h*h)/h*h**(-1)))/((((h**(-2/5)*h*h)/h)/h)**(-46))**(-16) assuming h is positive.
h**(17701/60)
Simplify (((s**( | {
"pile_set_name": "DM Mathematics"
} |
44. Give g(-2).
-650
Let t(c) = 115*c - 537. Calculate t(5).
38
Let f(l) = -l**3 - 12*l**2 + 222*l - 387. Determine f(2).
1
Let f(h) = -h**3 + 30*h**2 - 26*h + 5. What is f(29)?
92
Let x(a) = a**2 + 46*a + 211. Determine x(-38).
-93
Let r(i) = 2*i**2 + 7*i + 25. Determine r(-8).
97
Let s(u) = u**3 - 12*u**2 + 47*u - 123. Give s(7).
-39
Let f(g) = 48*g - 4083. What is f(89)?
189
Let q(j) = -69*j - 835. Determine q(-12).
-7
Let i(j) = j**3 - 87*j**2 + 169*j + 83. What is i(85)?
-2
Let v(j) = -j**2 + 24*j - 47. What is v(4)?
33
Let l(t) = -303*t + 5953. Calculate l(20).
-107
Let v(j) = -124*j + 1338. Give v(8).
346
Let t(x) = x**2 + 4*x + 12. Give t(-10).
72
Let c(d) = -2*d**3 - 17*d**2 - 30*d - 139. Determine c(-8).
37
Let b(a) = -2*a**2 - 210*a + 13116. Give b(44).
4
Let k(r) = -r**2 + 1035*r + 5179. Determine k(-5).
-21
Let y(g) = -g**2 + 24*g + 454. Give y(-15).
-131
Let k(w) = 53*w**2 + 751*w + 106. Give k(-14).
-20
Let g(a) = -3*a**3 - 19*a**2 - 3*a + 11. Calculate g(-3).
-70
Let x(b) = -23*b + 1860. Give x(81).
-3
Let w(v) = 9866*v + 9846. What is w(-1)?
-20
Let s(k) = 49*k - 707. What is s(15)?
28
Let a(w) = -302*w - 1509. What is a(-7)?
605
Let n(b) = -5*b**3 - 50*b**2 + 15*b + 19. Calculate n(-10).
-131
Let f(x) = -x**3 - 22*x**2 - 85*x - 38. Give f(-17).
-38
Let u(p) = -p**3 + 16*p**2 - 21*p + 124. What is u(16)?
-212
Let l(z) = -213*z - 2564. Give l(-12).
-8
Let l(n) = 901*n + 7. What is l(0)?
7
Let n(d) = -19*d - 102. Give n(-5).
-7
Let x(d) = -d**3 - 2*d**2 - 60*d - 498. What is x(-6)?
6
Let c(q) = -q**2 + 48*q - 423. Give c(12).
9
Let n(b) = b**2 - 304*b + 2090. Determine n(7).
11
Let s(i) = 3*i**3 - 15*i**2 + 26*i - 109. Determine s(5).
21
Let f(w) = w**3 - 5*w**2 + 8*w + 50. Calculate f(-3).
-46
Let p(m) = 2*m**2 + 14*m - 27. Give p(2).
9
Let d(g) = -2*g**2 - 132*g - 1695. Give d(-49).
-29
Let o(n) = 3*n**3 + 81*n**2 - 53*n - 1435. Determine o(-27).
-4
Let i(s) = -68*s - 5985. Calculate i(-88).
-1
Let m(x) = -65*x**2 - 977*x - 46. What is m(-15)?
-16
Let g(p) = p**2 - 233*p + 3317. Determine g(218).
47
Let j(l) = -39*l - 408. Give j(-10).
-18
Let i(k) = 1164*k + 2383. Calculate i(-2).
55
Let q(h) = -8*h**2 - 543*h + 3280. Determine q(6).
-266
Let p(t) = -t**3 - 9*t**2 - 16*t - 77. Determine p(-8).
-13
Let r(z) = -z**3 + 64*z**2 + 20*z + 2959. Calculate r(65).
34
Let l(t) = -942*t - 6602. Calculate l(-7).
-8
Let q(c) = -2*c**3 - 8*c**2 - 84*c - 245. Determine q(-3).
-11
Let b(z) = -1447*z - 23093. Calculate b(-16).
59
Let g(v) = 22*v**2 + 176*v - 2819. Determine g(-16).
-3
Let n(b) = 3*b**2 + 102*b + 147. Give n(-32).
-45
Let n(j) = -515*j + 2054. Calculate n(4).
-6
Let s(w) = w**3 + 24*w**2 + 367*w + 7906. Determine s(-23).
-6
Let d(k) = k**3 - 8*k**2 + 2*k + 1. Give d(5).
-64
Let w(m) = 2*m**3 + 35*m**2 + 13*m - 43. Give w(-17).
25
Let q(z) = 160*z + 77. Give q(-1).
-83
Let c(u) = -u**3 - 43*u**2 - 83*u + 49. What is c(-41)?
90
Let b(y) = -136*y - 301. Determine b(-3).
107
Let s(c) = -c**2 - 9*c + 76. Give s(-15).
-14
Let j(d) = 16*d - 70. Calculate j(-9).
-214
Let h(x) = 16*x - 151. Determine h(10).
9
Let q(z) = -330*z - 5. Give q(0).
-5
Let o(a) = a**3 - 18*a**2 - 18*a + 627. What is o(18)?
303
Let l(u) = 7*u**3 - 3*u**2 - 6*u + 2. What is l(3)?
146
Let z(x) = -27*x**2 - 122*x + 258. Calculate z(-6).
18
Let v(i) = i**2 - 654*i - 3949. What is v(-6)?
11
Let s(l) = -76*l**3 + 3*l**2 - 7*l + 3. Give s(1).
-77
Let d(t) = t**2 + 11*t - 373. What is d(-26)?
17
Let z(n) = -3*n**3 + 218*n**2 + 75*n - 145. Calculate z(73).
1
Let d(l) = l**2 - 140*l - 998. Determine d(-7).
31
Let t(n) = 6*n**3 + 146*n**2 + 46*n - 36. Determine t(-24).
12
Let w(d) = -d**3 + 11*d**2 + 8*d - 77. Calculate w(11).
11
Let g(n) = -7*n + 93. What is g(10)?
23
Let b(a) = -30*a**3 + 5*a**2 + 150*a + 144. What is b(-1)?
29
Let g(w) = -231*w - 686. Give g(-3).
7
Let h(i) = 54*i**3 - 32*i**2 + 37*i - 7. Calculate h(1).
52
Let s(u) = 2*u**2 - 235*u - 620. Determine s(120).
-20
Let k(a) = 3*a**3 - 18*a**2 - 5*a + 18. Determine k(8).
362
Let x(k) = k**2 + 75*k + 902. What is x(-60)?
2
Let l(x) = 80*x - 27. Calculate l(-6).
-507
Let h(l) = l**3 - 5*l**2 + 17*l - 6. Determine h(9).
471
Let q(f) = f**3 - 6*f**2 + 3*f + 13. Calculate q(3).
-5
Let i(c) = -c**2 - 14*c - 5. Give i(-11).
28
Let i(d) = -d**3 - 96*d**2 - 92*d - 8. Calculate i(-95).
-293
Let v(k) = k**2 + 77*k - 3210. Determine v(30).
0
Let u(o) = -5*o**2 + 26*o + 9. Calculate u(5).
14
Let r(i) = -5*i**3 - 6*i**2 - 45*i + 144. Calculate r(3).
-180
Let l(g) = 95*g - 3783. Determine l(40).
17
Let i(w) = -112*w + 132. Give i(5).
-428
Let x(r) = r**2 - 51*r + 650. Determine x(24).
2
Let i(d) = -49*d + 3959. Calculate i(84).
-157
Let c(s) = -s**2 + 237*s + 3010. Calculate c(-12).
22
Let w(p) = 4*p**2 + 9*p - 14. Calculate w(5).
131
Let p(a) = -21*a + 731. Determine p(18).
353
Let t(z) = -337*z - 4925. Give t(-15).
130
Let l(k) = -k**3 + 23*k**2 + 78*k - 29. Calculate l(25).
671
Let p(g) = 3*g**3 + 8*g**2 + 10*g - 4. Give p(-5).
-229
Let x(h) = 88*h**2 - h + 11. Determine x(-1).
100
Let t(p) = -p**2 + 152. Determine t(0).
152
Let a(d) = -d**3 + 15*d**2 - 60*d + 994. Calculate a(15).
94
Let k(v) = v**3 - 36*v**2 + 9*v - 1393. Determine k(37).
309
Let f(i) = -i**3 - 20*i**2 + 90*i + 478. Give f(-23).
-5
Let q(c) = -108*c + 39. What is q(1)?
-69
Let c(d) = 2*d**3 + 23*d**2 + 11*d - 18. What is c(-11)?
-18
Let c(v) = -138*v**2 - 545*v + 16. What is c(-4)?
-12
Let c(f) = -38*f + 861. Give c(24).
-51
Let h(u) = -2*u**2 + 519*u - 1032. What is h(2)?
-2
Let i(g) = -2*g**3 - 5*g**2 + 8*g - 5. Calculate i(2).
-25
Let x(p) = 8*p - 51. What is x(25)?
149
Let l(c) = -18*c - 1786. Calculate l(-97).
-40
Let z(h) = -86*h + 193. Determine z(6).
-323
Let h(d) = -d**2 - 179*d + 7. Determine h(0).
7
Let t(o) = 2*o**2 + 144*o - 13. What is t(-74)?
283
Let g(n) = 3*n**3 - 94*n**2 - 70*n + 197. Calculate g(32).
5
Let d(p) = -2*p**2 + 14*p + 4. Give d(8).
-12
Let a(u) = -2*u**3 - u**2 + 58*u + 127. Calculate a(-3).
-2
Let u(v) = -2*v**2 + 4*v + 598. Determine u(-26).
-858
Let j(a) = 34*a - 27. Calculate j(-4).
-163
Let x(g) = -2*g**3 - 210*g**2 - g - 116. What is x(-105)?
-11
Let f(z) = 193*z - 2760. Determine f(14).
-58
Let f(u) = 47*u - 15. Determine f(8).
361
Let c(i) = -594*i + 594. Determine c(1).
0
Let v(f) = -f**2 + 6*f + 18. Calculate v(-5).
-37
Let m(v) = 3*v**3 + 83*v**2 + 53*v + 120. Give m(-27).
147
Let v(r) = 2*r**2 - 407*r + 10978. What is v(32)?
2
Let m(z) = 2*z**2 - 216*z + 826. Calculate m(104).
-6
Let w(i) = 7*i**2 + 31*i + 22. Calculate w(-3).
-8
Let j(p) = -5*p + 768. Calculate j(8).
728
Let j(x) = -x**3 - 16*x**2 + 313*x - 163. Calculate j(11).
13
Let r(k) = 3*k**2 - 2030*k + 25890. Determine r(13).
7
Let w(d) = -3864*d + 11651. Give w(3).
59
Let a(g) = 3140*g + 9384. What is a(-3)?
-36
Let c(z) = -z**3 - 3*z**2 + 8*z - 62. Calculate c(5).
-222
Let s(z) = -z**2 + 57*z + 177. What is s(60)?
-3
Let u(a) = -10*a**2 + 194*a + 949. Give u(23).
121
Let v(s) = -s**2 - 110*s - 2871. Determine v(-67).
10
Let c(n) = 24*n - 1951. Determine c(82).
17
Let f(w) = -w**3 + 10*w**2 + w - 140. Determine f(8).
-4
Let p(v) = -29*v**2 - 866*v + 137. Determine p(-30).
17
Let f(o) = -16*o**2 + 46*o + 6. Calculate f(4).
-66
Let u(d) = d**2 - 209*d + 2172. Give u(11).
-6
Let r(u) = 8*u**2 + 3*u + 5. Calculate r(0).
5
Let z(s) = -s**2 - 8*s + 588. Determine z(-30).
-72
Let m(w) = 6*w**3 + 5*w**2 - 12*w + 1. Give m(2).
45
Let k(x) = x**2 - 140*x - 1048. Calculate k(-7).
-19
Let h(k) = k**2 - 162*k - 26575. Determine h(263).
-12
Let k(n) = -9*n + 594. Give k(65).
9
Let i(f) = -35*f**2 + 141*f + 723. Determine i(7).
-5
Let p(g) = g**2 + 132*g + 2688. What is p(-108)?
96
Let o(q) = 6*q - 132. What is o(-37)?
-354
Let z(t) = 12*t + 66. Determine z(-5).
6
Let f(g) = -97*g**3 + 2*g**2 - 211*g + 210. What is f(1)?
-96
Let y(n) = n**3 - 23*n**2 - 37*n + 89. What is y(24)?
-223
Let u(k) = -k**3 + 15*k**2 - 50*k - 3. What is u(13)?
-315
Let z(m) = -m**2 + 491*m - 5758. What is z(12)?
-10
Let r(q) = -q**3 + 3*q**2 - 74*q + 233. Give r(3).
11
Let t(r) = -r**2 - 25*r + 31. Determine t(-26).
5
Let y(q) = 7*q**2 + 91*q + 5. Determine y(-14).
103
Let q(p) = -p**3 - 4*p**2 + 20*p + 13. Determine q(-7).
20
Let m(c) = -45*c**2 + 15*c. Give m(-1).
-60
Let i(h) = | {
"pile_set_name": "DM Mathematics"
} |
(3/(-2))/((-3)/(-20)). Let z be 1 + 8/l - 1. Which is the second biggest value? (a) -2/7 (b) z (c) p
b
Let c = 0.28 - -3.72. Let q = 3/32 + 13/32. Let f = -101/140 + -1/35. What is the second smallest value in q, c, f?
q
Let m = -18 - -24. Suppose 2*k = -h - 3*h - 10, 0 = -2*h - m. Which is the smallest value? (a) 1/4 (b) 3/7 (c) k
a
Let g = -18 + 20. What is the second biggest value in g, -4, 0.13?
0.13
Let a = -1/2 - 1. What is the second biggest value in a, 7, -1?
-1
Let r = 4.5 + -4. Let m = r - 0. Let h = 9/7 + -8/7. Which is the second smallest value? (a) h (b) -5 (c) m
a
Let z = 36.5 - 37. Which is the second smallest value? (a) 3.3 (b) z (c) -1/6
c
Let h = -6 + 7. Suppose 0 = 5*x - 0*x + l - 10, -4*l - 29 = -3*x. Let o = 2 + 3. Which is the second biggest value? (a) h (b) x (c) o
b
Let d = -0.4 + -1.6. Let x = 3 + -6. Let t = -2.7 - x. What is the second biggest value in d, t, 0?
0
Let t = 0 + -2.5. Let k = -3 - t. Let f = k + 0. Which is the biggest value? (a) -1 (b) -3/2 (c) f
c
Let q = 2.78 - 0.18. Let r = q + -3. Which is the third biggest value? (a) r (b) 1 (c) 0.1
a
Let t = 6 - 6. Let w(c) = -3*c - 33. Let g be w(-10). What is the second smallest value in g, 1/6, t?
t
Let l = -21 + 25. Which is the third biggest value? (a) -5 (b) l (c) 0.4
a
Let n = -8.6 + 9. Let g = 1.4 - n. What is the smallest value in g, -2, -1?
-2
Let h be (-5)/10 + (-2)/(-5). Which is the third smallest value? (a) h (b) -5 (c) -1
a
Let h = -15 + 14. Which is the second biggest value? (a) 0.1 (b) -2 (c) h (d) -0.2
d
Let n be 15/(-13) - (-7 + 1 + 5). What is the fourth biggest value in -1/3, -1, n, -2?
-2
Let i = 0.54 + -0.7. Which is the third biggest value? (a) i (b) 1 (c) -5
c
Let h = -32 - -35.2. Let k = h + -3. Which is the biggest value? (a) k (b) -2/3 (c) -1/9
a
Let z = -10 + 14. Let k = z - 4. Which is the biggest value? (a) k (b) 2/5 (c) 3
c
Let f = -25 + 29. Which is the third biggest value? (a) 0.3 (b) -0.3 (c) f (d) -12
b
Suppose 4*v - 107 - 101 = 0. Let s be v/(-14) + 8/(-28). Let y = 5 - 5.2. Which is the third smallest value? (a) 2/15 (b) s (c) y
a
Let f = 0.08 + -0.08. Let d = 17 - 17.7. Let g = d + 1. Which is the smallest value? (a) 3 (b) f (c) g
b
Let m be 5/10*(3 - -31). Let y = m - 16. What is the second smallest value in 0.1, y, 1/6?
1/6
Let g = -2/49 - 45/98. Let p = -0.112 - -0.012. Which is the third biggest value? (a) 2 (b) g (c) p
b
Let p = 1 - 4. Let f(v) = v - 1. Let l(w) = -w**2 + 6*w - 3. Let d(j) = -3*f(j) - l(j). Let z be d(8). What is the second smallest value in z, -0.4, p?
z
Let p be (96/(-28))/((-3)/(-21)). Let u be 16/p*6/(-20). Which is the second smallest value? (a) 0.4 (b) 1 (c) u
a
Let i(t) = -3 - 2*t**2 + t + 4 - 3*t**3 + 2*t**3. Let r be i(-1). What is the second biggest value in 0.4, r, 5?
0.4
Let m = -0.05 - -0.55. What is the biggest value in m, 1/5, 1?
1
Suppose 8*l + 84 + 60 = 0. Let j be 8/110*(-45)/l. Let m = -13 - -25/2. Which is the second biggest value? (a) j (b) m (c) 2
a
Let r be ((-4)/6)/((-4)/54). Which is the second smallest value? (a) 0.2 (b) r (c) 0.3
c
Suppose -w + 18 - 32 = 0. What is the third biggest value in w, 0.5, -2?
w
Let r = 27359029/28805 + -8/5761. Let j = -969 + r. Let l = 94/5 + j. What is the second biggest value in 1, -4, l?
l
Let r be 2/12*16/(-6). Let k = -23/36 + 5/12. Which is the second smallest value? (a) r (b) 2 (c) k
c
Let i = -0.02 - 2.98. Let y = -172 + 2923/17. Let m = 24/119 + y. Which is the third smallest value? (a) m (b) i (c) 1
c
Suppose -4*y + 1 = 9. Let h be 5 + -2 + 3 + y. Suppose -1 = 3*v - h. Which is the biggest value? (a) v (b) -5 (c) -4
a
Let x be -1*(-3)/((-42)/(-4)). Let r = -6.6 + 6. Let d = -0.4 + r. Which is the third smallest value? (a) d (b) 2/9 (c) x
c
Let c(t) = -t**3 - 8*t**2 + 10*t + 7. Let o be (2/4)/(4/(-72)). Let m be c(o). What is the second smallest value in -0.04, 1/6, m?
-0.04
Let l = -27 + 26. Let k = 5 - 8. Let g = l - k. Which is the smallest value? (a) -3/4 (b) -1 (c) g
b
Let p = -0.4 + 0.2. What is the biggest value in 4, p, -5?
4
Let r = -4 + 14.6. Let t = -11 + r. Which is the second biggest value? (a) -0.5 (b) t (c) 1/2
b
Suppose c = 3*c - 20. Let v be ((-2)/c)/(6/10). What is the third smallest value in 0.2, v, -1/4?
0.2
Let b = -0.87 + -1.13. Let c(z) = z**2 - 5*z - 3. Let j be c(6). What is the third smallest value in b, 0.3, j?
j
Let p = 335791/36 + -9326. Let h = p + -7/9. Which is the third smallest value? (a) 0.4 (b) h (c) -0.5
b
Let m(q) = -12*q - 44. Let l be m(-4). Which is the fourth smallest value? (a) l (b) 2/13 (c) -4 (d) -7
a
Let z = 1.1 + 1.96. Let x = 0.06 - z. Let k = x - -2.5. Which is the third biggest value? (a) k (b) 2 (c) 1
a
Let r = 27 + -20. Which is the smallest value? (a) 0.4 (b) 5 (c) -0.2 (d) r
c
Let p = 0.0579 - -0.4421. Let l = -3.1 + 3. Which is the third biggest value? (a) l (b) p (c) -0.4
c
Let h = -2.1 - -1.6. Which is the second biggest value? (a) h (b) 4 (c) -3
a
Let y = -0.04 + 2.04. Let o(d) = d**2 - 8*d + 16. Let g be o(4). Which is the third biggest value? (a) y (b) g (c) 0.4
b
Let h be (3/(-20))/((-24)/(-16)). Let n = 17/39 - 10/13. Let o = 0.6 - 5.6. Which is the third smallest value? (a) h (b) n (c) o
a
Suppose -10*k = -9*k + 1. Which is the second biggest value? (a) k (b) 0.5 (c) -0.4
c
Let n = 86 + -256/3. What is the third smallest value in n, 0.4, 3, -0.2?
n
Suppose -4*r + 3*q + 16 = 0, -3*r + 1 = 4*q + 14. Let y = r - 4. What is the third biggest value in 0, -0.4, y?
y
Let y = 0.145 - 0.045. Which is the third smallest value? (a) 2 (b) y (c) -4
a
Let x = -2/17 + -11/51. What is the biggest value in 0, -0.2, 4, x?
4
Let l(g) = -g**2 - g - 1. Let z be l(-1). What is the third biggest value in 0, z, -2/9?
z
Let y be 6/21 - 54/(-56). Which is the third smallest value? (a) 1/6 (b) y (c) -3
b
Let m = -3 - -1. Let n = -107/5 + 21. Which is the biggest value? (a) n (b) 1/8 (c) m
b
Let f = -0.19 + 3.19. Let q = -1 - -2. Which is the third smallest value? (a) -1/5 (b) q (c) f
c
Let r = 27 - 26. Which is the biggest value? (a) -5 (b) 2/15 (c) r
c
Let q be (-153)/(-135) - (-4)/(-30). Let r = 0.31 + -0.3. Let m = -4.01 + r. Which is the second biggest value? (a) q (b) -0.1 (c) m
b
Let t = -1.2 + 1. Let i = 0.25 - 0.65. Which is the third smallest value? (a) -3 (b) i (c) t
c
Let w = -0.29 + -0.01. Let l = 17 - 15. Which is the third biggest value? (a) 0.2 (b) w (c) l
b
Let w be ((-2)/(-2) - 0)*-1. Let q be w/4 + 85/180. Which is the biggest value? (a) q (b) -1/4 (c) 0
a
Let r = -98 - -100. Which is the biggest value? (a) 5 (b) 2/7 (c) -1/6 (d) r
a
Suppose 3*o - 2*o = -2. Let x be (-1 - 2 - o)/3. Let g(j) = 2*j + 13. Let u be g(-8). Which is the smallest value? (a) x (b) u (c) 2
b
Let j = 3.4 - 4.12. Let r = -0.08 + j. Let f = r - 3.2. Which is the second smallest value? (a) -2/19 (b) f (c) -0.2
c
Let f = -0.42 + 0.02. Let w be 24/(-32) + 18/16. Let m = -6 - -1. Which is the second smallest value? (a) w (b) m (c) f
c
Let i = 11/3 - 3. Which is the second biggest value? (a) i (b) -6 (c) 5
a
Let f be 2/11 + 714/187. Which is the third smallest value? (a) f (b) 1/11 (c) -3
a
Let q be 4/10*(-85)/221. Which is the third biggest value? (a) -4 (b) q (c) 2/11
a
Let y be (-140)/24 + (17/6 - 3). What is the second smallest value in -5, -0.2, y, 5/3?
-5
Let m = -6893/35 - -197. Let o = m + 29/105. Which is the biggest value? (a) o (b) 1/4 (c) 2/11
a
Suppose -h = -6 - 0. What is the second smallest value in -2, h, -0.3?
-0.3
Let t be 2/1 + 7*2. Suppose -5*v - t = -4*w + w, -5*w = 2*v + 25. Let g = -0.45 - 0.05. Which is the third smallest value? (a) -0.2 (b) v (c) g
a
Let b = 71/116 - -4/29. What is the second smallest value in 4, -0.2, b?
b
Let b = -2 + -3. Let v = -0.03 + 5.03. What is the biggest value in 0.5, b, v?
v
Let d be ((-2)/4)/((-2)/8). Suppose -5*b + 7 = -2*t, -t + d - 3 = 0. Let q = 6.9 - 7. What is the second biggest value in 2/5, b, q?
2/5
Let u = -19.2 - -19. Which is the biggest value? (a) u (b) 5 (c) 3
b
Let q be 3/5*(-120)/(-2484). What is the second biggest value in q, -3, 2?
q
Let p = 0.145 - -0.055. Let g be 2 + (-36)/17 | {
"pile_set_name": "DM Mathematics"
} |
(j) wrt j.
-78840*j**3
Let l(z) be the first derivative of -z**7/84 - z**6/60 + 23*z**4/8 - 2*z**3/3 - 142*z - 207. Let h(k) be the third derivative of l(k). Differentiate h(o) wrt o.
-30*o**2 - 12*o
Let d be ((3 - 4) + 4)/((-4)/52). Let v = d + 42. Differentiate h**v + 6 - 20*h**3 + 3 with respect to h.
-57*h**2
Let u = 16 + -11. Suppose -4*f + 2*l = -14, 4*f - u = 3*f + l. Find the first derivative of 45 - 6*r**f - 39 - r**2 wrt r.
-14*r
Suppose -12 = -3*c, 6*a + 172 = 2*a - 4*c. Let x = -43 - a. What is the second derivative of -12*b - 5*b - 4*b**4 + b**x wrt b?
-36*b**2
Let p(r) = 7*r**3 - 9*r**2 + 2338*r - 3719. Let t(y) = -3*y**3 + 4*y**2 - 1168*y + 1860. Let f(v) = 4*p(v) + 9*t(v). Differentiate f(z) with respect to z.
3*z**2 - 1160
Let h(y) be the third derivative of -29*y**8/84 + y**7/105 + y**5/12 + 269*y**4/12 - y**3/2 - 2*y**2 + y + 4772. Find the second derivative of h(a) wrt a.
-2320*a**3 + 24*a**2 + 10
Let d(l) = -1000*l**3 + l**2 + 5624*l + 12. Let f(t) = 1000*t**3 - t**2 - 5625*t - 9. Let y(z) = 3*d(z) + 4*f(z). What is the second derivative of y(c) wrt c?
6000*c - 2
Let c = 16 - 15. Let v be (7 + -11)/(c/(-25)). What is the second derivative of 10*l - 131*l**2 + v*l**2 - 7*l - 34*l wrt l?
-62
Let w(b) be the third derivative of -457*b**9/168 - 134*b**5/15 + 987*b**2. What is the third derivative of w(l) wrt l?
-164520*l**3
Let u = 1850 - 1719. Let x = -5 - -10. Find the second derivative of -8*h - u*h**5 + 111*h**x - 2*h wrt h.
-400*h**3
Let p(m) be the third derivative of -m**8/168 + 11*m**7/210 - m**6/60 + 179*m**5/15 + m**4/24 - 75*m**2 - 3*m. What is the third derivative of p(n) wrt n?
-120*n**2 + 264*n - 12
Let x(m) be the second derivative of 337*m**5/20 - 373*m**4/12 + 247*m. What is the third derivative of x(h) wrt h?
2022
Let z(v) be the second derivative of v**7/42 + 391*v**5/20 + 85*v**4/3 + v**2/2 + 317*v + 1. What is the third derivative of z(m) wrt m?
60*m**2 + 2346
Let z(v) = 1435*v**2 + 17*v + 2517. Let j(a) = -478*a**2 - 6*a - 839. Let c(b) = -17*j(b) - 6*z(b). What is the first derivative of c(d) wrt d?
-968*d
Let x(r) = 30*r**4 - 5*r - 442. Let a = 506 + -511. Let c(i) = -14*i**4 + 3*i + 221. Let z(g) = a*c(g) - 3*x(g). Differentiate z(b) with respect to b.
-80*b**3
Let l(b) be the first derivative of -9/2*b**2 + 0*b - 11 + 4/3*b**3 - 73/4*b**4. Find the third derivative of l(o) wrt o.
-438
Let j(u) be the third derivative of -37*u**6/40 + 17*u**5 - 100*u**2 + 2. Find the third derivative of j(t) wrt t.
-666
Let u be (-3)/((-9)/15) - 2. Suppose s = -5*t + 29, -5*s + 2 + 3 = -u*t. Find the first derivative of r**3 + r**s - 480 + 491 - r**3 wrt r.
4*r**3
Let c(n) be the first derivative of -5971*n**3/3 - 1139*n + 6746. Differentiate c(s) with respect to s.
-11942*s
Let h(x) be the first derivative of 3*x**4/2 + 15*x**3 + 191*x**2/2 - 769. Find the second derivative of h(j) wrt j.
36*j + 90
Let k(o) be the third derivative of -o**8/168 - 226*o**7/105 + 13*o**5/12 + 1809*o**2. Find the third derivative of k(g) wrt g.
-120*g**2 - 10848*g
Let y(i) be the first derivative of -5*i**3/3 - 65*i**2/2 - 160*i - 1122. Find the first derivative of y(h) wrt h.
-10*h - 65
Let h be (6*(-12)/(-252))/((-2)/(-175)). Let n(q) = -2*q - 2. Let a be n(-4). Find the third derivative of -43*s**2 - a*s**2 + s + h*s**4 - s wrt s.
600*s
Suppose 2*i + 7*t - 2*t = 64, -5*i + t = -106. What is the third derivative of 22*l**3 - 4*l**2 + 87*l**3 + 9*l**3 + i*l**3 - 10 + 8*l**2 wrt l?
840
Let c be ((-100)/(-6))/(((-6)/(-3))/6). Let s = -48 + c. Find the second derivative of -84 + 8*f**s + 84 + 15*f wrt f.
16
Let l be 588/16 - 3/(-12). Let v = l + -23. Differentiate y - 2*y - 16 + y - v*y**4 wrt y.
-56*y**3
Let n(u) be the third derivative of -19*u**5/5 - u**4/6 - 1315*u**3/2 + 7*u**2 - u - 92. What is the derivative of n(t) wrt t?
-456*t - 4
Suppose -2*a - 4*u + 14 = 0, -u - 1 = 3. What is the second derivative of a*p - 24 + 21*p - 55*p + 2*p**5 + 17*p wrt p?
40*p**3
Suppose -4*l = 3*l - 2*l. Suppose -1 = x + 4*w - 15, 4*w - 12 = l. What is the derivative of -x*p**2 + 3*p**2 - 10 + 4*p**2 wrt p?
10*p
Suppose 69*x - 7063 = -577. What is the second derivative of 118*u - 287*u - x*u**3 - 18*u**3 - 139*u**3 wrt u?
-1506*u
Let y(d) = d**2 - 20*d + 37. Let x be y(18). What is the second derivative of x - 256*j + 291*j - 1 - 17*j**5 wrt j?
-340*j**3
Let k(g) = -17*g - 31. Let p be k(-3). Find the first derivative of -67 - 8*y**2 - p*y**2 - y**2 wrt y.
-58*y
Let d be (-19)/(-9) + (-3)/27. What is the first derivative of -135 - 390*y**d + 219*y**2 + 221*y**2 wrt y?
100*y
Let k(a) be the third derivative of 37*a**9/60480 - 101*a**6/720 - 6*a**5/5 + 58*a**2 - 2. Let r(d) be the third derivative of k(d). Differentiate r(i) wrt i.
111*i**2
Let n = -318 + 381. What is the derivative of 93*g**2 + n + 50 - 61*g**2 wrt g?
64*g
Let l(w) = -87*w + 3481. Let v(g) = g**2 + 703*g - 27847. Let q(r) = 17*l(r) + 2*v(r). What is the first derivative of q(u) wrt u?
4*u - 73
Let h = -401 + 458. What is the second derivative of -h*p - 55*p - 129 + 9*p**2 + 111*p wrt p?
18
Find the first derivative of 5410*s - 2445*s - 2074*s + 148 wrt s.
891
Let h(y) = 1154*y**3 + 3*y**2 + 1490*y + 6. Let w(v) = 1147*v**3 + 4*v**2 + 1491*v + 9. Let u(d) = 3*h(d) - 2*w(d). What is the third derivative of u(a) wrt a?
7008
Suppose -8 + 8 = -23*m. Find the second derivative of 76*j + m*j**3 + j**3 + 51*j**2 - 25*j**2 + 0*j**3 wrt j.
6*j + 52
Let m(u) = u**2 - 9*u + 12. Let g be m(14). Differentiate 8*d + 3*d - 11*d - g + 93*d**3 wrt d.
279*d**2
Let r(i) be the first derivative of i**4/4 - 3*i**3 + 27*i**2/2 - 2970*i - 3507. What is the first derivative of r(d) wrt d?
3*d**2 - 18*d + 27
Let v(m) be the third derivative of 7*m**7/15 - 3*m**6/40 + m**5/20 + 589*m**3/6 - 752*m**2. Find the third derivative of v(a) wrt a.
2352*a - 54
Let v(j) be the third derivative of 1951*j**6/120 + 3229*j**5/60 - 42*j**2 + 10*j. Find the third derivative of v(h) wrt h.
11706
Suppose -2*a - f + 10 = -1, -4*f + 12 = 0. What is the second derivative of 6*d - 8*d**3 - 5 + 0*d**4 - 11*d + 3*d + 2*d**a wrt d?
24*d**2 - 48*d
Let p(t) = 14710*t + 9828. Let z(a) = 7430*a + 4914. Let g(u) = -3*p(u) + 5*z(u). What is the derivative of g(w) wrt w?
-6980
Suppose -5688 = -15*z + 7*z. Find the third derivative of 1499*q**2 - 33*q**3 - z*q**2 - 755*q**2 wrt q.
-198
Let f(x) = -1475*x**4 + x**2 + 44*x - 18. Let t(g) = -2950*g**4 + 2*g**2 + 85*g - 30. Let d(w) = -5*f(w) + 3*t(w). What is the third derivative of d(i) wrt i?
-35400*i
Let a(x) be the first derivative of 11*x**4/6 - 52*x**3/3 + 112*x + 59. Let v(j) be the first derivative of a(j). Find the second derivative of v(w) wrt w.
44
What is the derivative of -2742 + 4202 - 7822 - 6014 - 4805*h wrt h?
-4805
Let k(r) be the third derivative of -53*r**9/504 + r**6/24 + r**5/20 + 97*r**4/4 + 598*r**2 + 2. What is the third derivative of k(w) wrt w?
-6360*w**3 + 30
Let u(d) = -3*d - 11. Let y = -28 - -19. Let z be u(y). Differentiate 22*v**3 - 2*v**3 - 3*v**3 - z with respect to v.
51*v**2
Suppose -4*i + c = -41, c = 3*i - 0*c - 32. What is the second derivative of n**3 - 15 + 11*n + 3*n**2 - i*n + 0*n wrt n?
6*n + 6
Let w = -11 + 15. Suppose -2 - w = -4*y + s, s = -y + 4. Differentiate 9 - 3*m**4 + 0 + y*m**4 wrt m.
-4*m**3
Differentiate -262*l + 101*l + 642*l - 1278 + 19 with respect to l.
481
Let z(j) be the third derivative of 383*j**6/120 + j**5/20 - 5*j**4/24 - 2*j**3/3 + j**2 + 404*j. What is the second derivative of z(u) wrt u?
2298*u + 6
Let i(k) be the first derivative of -k**4/2 + 667*k**3/3 + 1390*k**2 + 1056. Find the second derivative of i(b) wrt b.
-12*b + 1334
Let b be (-7 + 6/3)*-1. Suppose -23 = -3*f - b. Differentiate 2 - 13 - 10*x - f + 4 with respect to x.
-10
Suppose 2*q - 2*g = -7*g + 12, -2*g = -q + 24. Suppose -q*l = -11*l - 3955. Find the second derivative of -10*j + l - 791 + j**5 wrt j.
20*j**3
Let y = 141 - 137. What is the third derivative of -90*a**2 + 10*a**y + 13*a**4 + 17*a**4 + 108*a**2 wrt a?
960*a
Let o(n) be the first derivative of -131/2*n**2 + 19*n**5 + 0*n + 0*n**4 - 104 + 0*n**3. What is the second derivative of o(s) wrt s?
1140*s**2
Let w(q) = -2*q - 13. Let n be w(-7). Suppose -s - d + 3 = -n, -3*s - d = -10. Find the third deri | {
"pile_set_name": "DM Mathematics"
} |
. Let p be f(2). Differentiate -2*d + 1 + 4*d + p wrt d.
2
Let f(o) be the first derivative of 0*o**6 - 1/7*o**7 + 1/3*o**3 + 0*o**2 + 0*o + 2 + 0*o**5 + 0*o**4. Find the third derivative of f(b) wrt b.
-120*b**3
Let k = 25 + -22. Let r(b) be the second derivative of -1/20*b**5 - 1/6*b**k + 0*b**4 - 3*b + 0*b**2 + 0. What is the second derivative of r(x) wrt x?
-6*x
Let m(j) be the first derivative of -19*j**5/5 - j**2 + j + 50. What is the second derivative of m(w) wrt w?
-228*w**2
Let n(r) be the second derivative of 0 + 0*r**3 - 1/2*r**2 + 1/20*r**5 + 0*r**4 - 3*r. What is the derivative of n(v) wrt v?
3*v**2
Find the third derivative of 4*l**2 + 12*l**2 - 27*l**6 + 26*l**6 wrt l.
-120*l**3
Let b(l) = l**2 - 5*l + 2. Let x be b(5). Suppose 3 = -3*y + 3*f, 0*y + 2*y + 4*f - 4 = 0. Find the third derivative of 3*j**2 - j**2 - x*j**3 + y*j**2 wrt j.
-12
Let m be (2 - 11/4)*8/(-36). Let v(i) be the second derivative of 2*i - m*i**3 + 0*i**2 + 0 + 0*i**4 - 1/10*i**5. What is the second derivative of v(g) wrt g?
-12*g
Let p(a) be the third derivative of 1/3*a**3 + 0 + 0*a - 1/30*a**6 + 0*a**4 - 2*a**2 + 0*a**5. Differentiate p(h) with respect to h.
-12*h**2
Let k(t) = -35*t**3 + 11*t**2 + 105*t + 11. Let g(q) = 7*q**3 - 2*q**2 - 21*q - 2. Let o(s) = 11*g(s) + 2*k(s). What is the second derivative of o(m) wrt m?
42*m
Let m(o) be the first derivative of 11*o**3/3 - 23*o**2 - 4. Find the second derivative of m(s) wrt s.
22
What is the derivative of 1 + 8 - 3 + 15*f**2 wrt f?
30*f
Let j(f) be the second derivative of -3/10*f**5 + 7/2*f**2 + 4*f + 0 + 0*f**3 + 0*f**4. What is the first derivative of j(s) wrt s?
-18*s**2
Let m = -40 - -45. Let s(t) be the first derivative of 0*t**2 + 0*t**3 - 1/5*t**m + 0*t**4 + 1 + 3*t. What is the first derivative of s(x) wrt x?
-4*x**3
Suppose 17 = 5*i - 4*d - 0, -2 = -2*i + 4*d. Suppose i*k - 6 = 2*k. Find the first derivative of -3*l**4 - k + 0*l**4 + 2*l**4 wrt l.
-4*l**3
What is the third derivative of -4*l**6 - 21 - 9*l**2 + 10 + 11 wrt l?
-480*l**3
Let r = -4 - -4. Suppose 4*g - 11 - 5 = r. Differentiate 2 - 4 - d + g with respect to d.
-1
Let v(b) = 29*b + 35. Let k(y) = -145*y - 175. Let f(p) = -2*k(p) - 11*v(p). Differentiate f(g) wrt g.
-29
Suppose 2*y + 8 = 0, 0*c + 2*c - 16 = 2*y. Find the second derivative of -q + 15 - 15 - c*q**2 wrt q.
-8
Let d(o) = 8*o**3 + 1. Let l(i) = -i**3 - 1. Let p(g) = d(g) + 5*l(g). Differentiate p(c) wrt c.
9*c**2
Let z(d) = -6*d**2 + 11. Let x(f) = -30*f**2 + 56. Let n(q) = 3*x(q) - 16*z(q). Differentiate n(w) wrt w.
12*w
Let c(g) = 3*g - 4. Let y be c(2). Find the second derivative of 2*a**2 - 5*a**2 - y*a - 4*a**2 + 5*a**2 wrt a.
-4
Suppose -201 + 197 = -2*u. Let p(t) be the second derivative of 0*t**4 + 0 - 1/30*t**6 - u*t**2 + 0*t**3 + 0*t**5 + 3*t. Differentiate p(f) with respect to f.
-4*f**3
Suppose 0*p - 2*p = -4*d + 14, -5*d + p = -13. Find the second derivative of 11*o**4 + d*o**4 - 4*o - 14*o**4 wrt o.
-12*o**2
Let l = 10 + -8. What is the second derivative of 4*a - a**2 + 11*a**2 - 6*a**l wrt a?
8
Let o = -6 + 10. Suppose -o*h = -2*h - 6. What is the derivative of l - h*l - 2 + 3 wrt l?
-2
Let j(w) = 9*w**4 - 9*w. Suppose 5*l = 14 + 16. Let u(i) = -5*i**4 + 5*i. Let p(s) = l*j(s) + 10*u(s). Find the second derivative of p(f) wrt f.
48*f**2
Let y(c) be the second derivative of 0 + 0*c**3 + 3/20*c**5 + 2*c + 2*c**2 + 0*c**4. Differentiate y(g) with respect to g.
9*g**2
Let s(a) be the first derivative of -16*a**3/3 + 25*a + 25. What is the derivative of s(d) wrt d?
-32*d
Let n(m) = -m**3 + m - 1. Let j(z) = -2*z**4 - 6*z**3 + 6*z + 1. Let l(c) = -j(c) + 6*n(c). Differentiate l(q) with respect to q.
8*q**3
Let a(f) be the third derivative of 11*f**8/168 + f**4/4 - 26*f**2. Find the second derivative of a(b) wrt b.
440*b**3
Let v(n) be the first derivative of 3/5*n**5 + 0*n**3 + 0*n**2 - 4*n + 3 + 0*n**4. Differentiate v(p) wrt p.
12*p**3
What is the third derivative of -8*s**3 + 6*s - 6*s + 5*s**2 - s**2 wrt s?
-48
Let l(i) be the third derivative of 17*i**4/24 - 3*i**3/2 + 7*i**2. What is the first derivative of l(a) wrt a?
17
Let l(s) = -55*s**3 + 6*s**2 - 6*s + 33. Let k(x) = 110*x**3 - 13*x**2 + 13*x - 66. Let c(u) = 6*k(u) + 13*l(u). Differentiate c(w) with respect to w.
-165*w**2
Find the second derivative of -2*c**2 + 12*c**2 + 3*c + 12*c wrt c.
20
Let m(z) = -67*z**6 + 5*z**5 + 49*z**2. Let c(h) = 34*h**6 - 3*h**5 - 24*h**2. Let t(u) = 5*c(u) + 3*m(u). Find the third derivative of t(r) wrt r.
-3720*r**3
What is the second derivative of 39*k - 13*k + 34*k - 24*k**4 - 15*k wrt k?
-288*k**2
Let p(n) be the third derivative of -1/120*n**6 - 1/2*n**3 + 0*n**4 + 0 + 2*n**2 + 0*n**5 + 0*n. What is the derivative of p(l) wrt l?
-3*l**2
Let a(m) = m**2 + m - 1. Let l(p) = -25*p**2 - 7*p - 4. Let w(s) = -4*a(s) + l(s). What is the second derivative of w(b) wrt b?
-58
Let j be 26/6 + 1/(-3). Suppose -2*h - 4*u + j = 0, 5*h + 2*u = -u + 10. Find the second derivative of 4*n - 6*n + n - h*n**2 + 5*n**2 wrt n.
6
Find the third derivative of 83*x**6 + 37*x**2 + 3*x**3 - 96*x**6 - 3*x**3 wrt x.
-1560*x**3
What is the first derivative of -3768*u**2 + 6*u**3 + 1 + 3768*u**2 wrt u?
18*u**2
Let h(x) = 21*x**3 + 8*x**2 - 8*x - 89. Let s(u) = -7*u**3 - 3*u**2 + 3*u + 30. Let g(k) = 3*h(k) + 8*s(k). Differentiate g(t) with respect to t.
21*t**2
Suppose -6*x = -8*x + 4. Let z(l) be the second derivative of 1/3*l**3 - 2*l + 0*l**x + 0 - 1/12*l**4. Find the second derivative of z(y) wrt y.
-2
Let o(b) be the second derivative of b**6/360 - b**5/24 - b**4/6 + 2*b. Let s(r) be the third derivative of o(r). Differentiate s(u) wrt u.
2
Find the first derivative of -5*f + 10 - 1 - 3*f wrt f.
-8
Suppose b - 4*b + 3*q = -9, 4*q = -2*b + 6. What is the third derivative of -4*c**3 - 4*c**3 + b*c**3 - 7*c**2 + 0*c**3 wrt c?
-30
Let a(b) = 27*b**5 - 9*b**4 + 9*b**3 + 7*b. Let p(g) = 14*g**5 - 4*g**4 + 4*g**3 + 4*g. Let c(r) = 4*a(r) - 9*p(r). What is the second derivative of c(v) wrt v?
-360*v**3
Let u(j) be the first derivative of -j**8/1680 + j**5/40 + 2*j**3/3 + 3. Let f(b) be the third derivative of u(b). Find the second derivative of f(g) wrt g.
-12*g**2
Suppose -l = 4*l - 10. What is the first derivative of -w**4 + l*w**4 + 0*w**4 - 4 wrt w?
4*w**3
Let n(y) be the second derivative of 0*y**2 - 1/4*y**4 + 1/30*y**6 - 2*y + 0*y**5 + 0*y**3 + 0. What is the third derivative of n(v) wrt v?
24*v
Let n(z) = 2*z**2 + z + 2. Let o be (-26)/12 + 2/12. Let u(l) = l**3 + l**2 - l + 1. Let p(q) = o*u(q) + n(q). Find the second derivative of p(g) wrt g.
-12*g
Let g = -2 - -2. Let w = 2 - g. What is the derivative of 0*s**w + 1 + 1 + s**2 wrt s?
2*s
Let q(n) = n**2 - 6*n + 3. Let d be q(6). Suppose 8 = 4*v - 12. Find the second derivative of -11 + x**v + 11 - d*x wrt x.
20*x**3
What is the second derivative of 78*r - 85*r + 2*r**5 + 2*r**5 wrt r?
80*r**3
Let r(c) = -c**3 - c + 1. Let w(n) = -10*n**3 - 5*n + 2. Let f(o) = 5*r(o) - w(o). Find the first derivative of f(i) wrt i.
15*i**2
Suppose 0*t - 10 = -5*t. Find the first derivative of 4*c**2 + 6 + t*c**2 - 7*c**2 wrt c.
-2*c
Let x(w) be the first derivative of -w**8/560 - w**5/120 - w**3 + 1. Let y(h) be the third derivative of x(h). Find the second derivative of y(j) wrt j.
-36*j**2
Let x be (32/12)/(-2)*3. Let l(c) = -13*c**3 - 4*c**2 - 3. Let u(q) = 25*q**3 + 7*q**2 + 7. Let p(j) = x*u(j) - 7*l(j). Differentiate p(y) with respect to y.
-27*y**2
Let i = -7 + 9. What is the third derivative of x**2 + 3*x**i - x**2 - 5*x**3 wrt x?
-30
Let w(t) = 7*t**2 + 9*t. Let s(u) = -15*u**2 - 19*u. Let l(o) = 3*s(o) + 5*w(o). What is the second derivative of l(d) wrt d?
-20
Let v(m) be the first derivative of 31*m**4/2 - 2*m**3/3 + 61. Find the third derivative of v(p) wrt p.
372
Let h(r) be the second derivative of r**8/14 + 29*r**4/12 - 12*r. Find the third derivative of h(c) wrt c.
480*c**3
Let a(l) = 5*l**2 - l + 1. Let f(u) = -u**2 + u - 1. Let v be f(1). Let s(i) = -i. Let m(n) = v*a(n) + s(n). What is the first derivative of m(b) wrt b?
-10*b
Let z = 22 + -15. Let q(k) = k - 5. Let a be q(z). What is the third derivative of 0*p**2 + p**a + p**4 - 2*p**2 wrt p?
24*p
Let p(o) = -60*o + 60. Let k(r) = -5*r + 5. Suppose j - 5*t - 5 - 2 = 0, -2*t + 6 = 4 | {
"pile_set_name": "DM Mathematics"
} |
39, 0 = -m - 5. Let z = -8 + f. Solve -h**2 + 5*h**z - h**3 + 3*h**3 = 0 for h.
-2, 0
Factor 0 + 2/9*w**2 + 0*w - 2/9*w**3.
-2*w**2*(w - 1)/9
Let p(h) = h - 6. Let w be p(8). Suppose -9 = -2*d + 5*l, 4*d + 2*l - w = 2*d. Solve 2*i**2 + 6 - i**4 - 6 - d*i**3 - 3*i**2 = 0.
-1, 0
Let c(x) be the second derivative of -x**6/30 + x**5/10 + x**4/12 - x**3/3 + 46*x. Determine n so that c(n) = 0.
-1, 0, 1, 2
Suppose -4*k = 2*t - 30, -3*k + 5 = 4*t - 6*t. Suppose 3*z + 6 + 5 = 5*i, 3 = -3*i + k*z. Factor 11 + 3*o**3 - i*o**2 - o**2 + 1 - 4*o**2.
3*(o - 2)**2*(o + 1)
Let o(f) be the second derivative of f**5/80 - 7*f**4/48 - 7*f**3/8 + 27*f**2/8 - 209*f. Find k, given that o(k) = 0.
-3, 1, 9
Let q = -56327/13 + 4333. Solve -4/13 - q*o**2 - 6/13*o = 0 for o.
-2, -1
Let b(f) be the first derivative of -f**5/105 + f**4/21 - 2*f**3/21 - 9*f**2/2 - 7. Let w(k) be the second derivative of b(k). Factor w(h).
-4*(h - 1)**2/7
Let w(h) be the third derivative of h**6/24 - 5*h**5/12 - 5*h**4/24 + 25*h**3/6 - 345*h**2. Factor w(m).
5*(m - 5)*(m - 1)*(m + 1)
Suppose 4*h - 1 = 3*h. Let j be (h/(-9))/(4 - (-50)/(-12)). Determine k, given that 0 - k**2 - j*k + 1/3*k**4 + 0*k**3 = 0.
-1, 0, 2
Determine k, given that -23 - 3*k**2 - 2*k**2 + 4 + 39 = 0.
-2, 2
Suppose 0 = -m + 4*c + 15, 527*c - 528*c = -4*m + 15. Determine d, given that 1/3*d**m + 0*d**2 - 2/3 - d = 0.
-1, 2
Let d(u) = -u**3 - 62*u**2 + 408*u + 4. Let o be d(6). Factor -594/7*g**3 + 243/7*g**o + 12/7 + 471/7*g**2 - 132/7*g.
3*(g - 1)**2*(9*g - 2)**2/7
Suppose 17 + 1 = 9*q. Let x(s) be the second derivative of 0 + s**3 + 4*s - 3/10*s**5 + 0*s**q + 1/4*s**4 - 1/10*s**6. Factor x(m).
-3*m*(m - 1)*(m + 1)*(m + 2)
Let l(u) = -u**2 - 1. Let f(m) = m**4 + m**3 - 2*m**2 - 2. Let r(d) = 3*f(d) - 6*l(d). Determine h so that r(h) = 0.
-1, 0
Let u(v) be the second derivative of 3*v**5/40 - v**4 + 3*v**3 + 72*v. Factor u(c).
3*c*(c - 6)*(c - 2)/2
Let v(h) be the first derivative of 6*h**5/115 + h**4/46 - 6*h**3/23 + 3*h**2/23 + 4*h/23 + 19. Suppose v(x) = 0. What is x?
-2, -1/3, 1
Let b(g) be the first derivative of 0*g - 5/6*g**6 + 5/2*g**2 - 11 + 10/3*g**3 - 2*g**5 + 0*g**4. Find z such that b(z) = 0.
-1, 0, 1
Let v = 22151/2 + -11074. Factor v*b**2 - 6*b + 6.
3*(b - 2)**2/2
Let q(d) be the second derivative of 0 + 9/13*d**2 - 2/13*d**3 + 3*d + 1/78*d**4. Factor q(h).
2*(h - 3)**2/13
Let b(g) be the first derivative of g**7/70 - 3*g**6/40 + g**5/10 + 13*g**2/2 + 12. Let j(z) be the second derivative of b(z). Find n, given that j(n) = 0.
0, 1, 2
Let d(m) be the first derivative of -1/5*m**5 - 1/2*m**4 + 11/3*m**3 + 6*m**2 - 36*m + 19. What is v in d(v) = 0?
-3, 2
Factor -5492*f - 1350*f + 1702*f + 28 + 46947*f**2 + 283298*f**2 - 8.
5*(257*f - 2)**2
Suppose 0 = 2*t + 4*k - 22, 0 = 8*t - 11*t - 5*k + 29. Find y, given that 4/5*y - 2/5*y**4 + 8/5*y**t + 0 - 2*y**2 = 0.
0, 1, 2
Let y(m) be the second derivative of -10/3*m**3 - 11*m + 5/12*m**4 + 10*m**2 + 0. Factor y(w).
5*(w - 2)**2
Let l = 13345 + -4257051/319. Let f = 2532/1595 + l. What is r in 8/5*r + 4/5*r**2 - f*r**3 + 2/5 - 6/5*r**4 = 0?
-1, -1/3, 1
Suppose 846 = 204*j - 49*j + 268*j. Find g, given that -4/3*g - 1/3*g**j + 1/3*g**3 + 4/3 = 0.
-2, 1, 2
Let a(o) = 3*o + 4 - 2*o - 4*o. Let g be a(0). Determine x so that 0 + 4/3*x**2 + 5/3*x**4 - g*x**3 + 0*x = 0.
0, 2/5, 2
Suppose -3*o + 43 = -4*t - 4*o, -2*t = 2*o + 14. Let u be 322/392 - -1*t/21. Find v such that u*v**2 + 0 + 3/4*v = 0.
-3, 0
Solve 1/7*o**2 - 40/7 + 39/7*o = 0 for o.
-40, 1
Let b(y) = -y**3 - 5*y**2 + 5*y - 1. Suppose 3*q + 6 = 0, -3*q = 3*m + q + 26. Let h be b(m). Let 2*w**2 - 4*w + 6 - h*w**2 + 4*w + 3*w = 0. What is w?
-1, 2
Factor -237/5*p**2 + 1/5*p**3 + 18723/5*p - 493039/5.
(p - 79)**3/5
Suppose b - 3*m = -15, -5 = -3*b + 3*m - 4*m. Let o = 6 + -1. Let 2*u - o*u**2 + b*u**3 + u**2 + 2*u**3 = 0. Calculate u.
0, 1
Let q = -16 - -31. Let s be (-2 + 40/q)/(20/18). Find k such that -s*k**2 - 2/5 + k = 0.
2/3, 1
Let k(u) = -u**4 - 20*u**3 + 62*u**2 + 2. Let j(i) = -4*i**4 - 62*i**3 + 185*i**2 + 7. Let l(b) = -2*j(b) + 7*k(b). What is r in l(r) = 0?
0, 8
Factor -52/5*t + 18/5 - 8/5*t**3 - 78/5*t**2.
-2*(t + 1)*(t + 9)*(4*t - 1)/5
Suppose -3*p - 13 = k, 3*p + 19 = -2*p + k. Let h be 1 + (-9)/((-54)/p). Factor -h*t**2 + 1/3*t + 0.
-t*(t - 1)/3
Let p(g) = -g**2 + 6. Let k be p(0). Suppose -d + k = d. Factor 2*n**5 + n**4 - n**5 + n**5 - d*n**4.
2*n**4*(n - 1)
Solve -1/7*o**3 + 0*o**2 - 16/7 + 12/7*o = 0 for o.
-4, 2
Let y = -52545/4 - -13152. Find f such that -3 + y*f**3 - 111/4*f**2 + 18*f - 3*f**4 = 0.
1/4, 1, 2
Let n(m) be the third derivative of -m**5/30 - 8*m**4/3 - 31*m**3/3 - 2*m**2 + 13*m. Factor n(z).
-2*(z + 1)*(z + 31)
Let i = -25/9 + 3. Let z(b) be the first derivative of 4 - 2/27*b**3 + 1/9*b**2 - 1/18*b**4 + i*b. Factor z(s).
-2*(s - 1)*(s + 1)**2/9
Let w be 18/3 - (-3 + 0). Let x = w - 6. Factor -s**3 - 4*s - 2*s**x - 6 + 13*s.
-3*(s - 1)**2*(s + 2)
Let s = 40835 + -122503/3. Find r such that -1/2*r - 1/6*r**3 - s*r**2 + 0 = 0.
-3, -1, 0
Solve -16/9*s + 20/9*s**2 + 0 + 2/3*s**3 = 0 for s.
-4, 0, 2/3
Let j(r) be the first derivative of 3*r**4/4 + r**3 - 15*r**2 + 24*r - 100. Let j(o) = 0. What is o?
-4, 1, 2
Factor 4/7*u**2 - 32/7 - 4*u.
4*(u - 8)*(u + 1)/7
Let g(u) = -u. Let i be g(-4). Let r = -1907 - -1911. Factor 20*a + 24*a**2 + 16*a**3 + r - 4*a - 19*a**4 + 23*a**i.
4*(a + 1)**4
Let i(k) be the third derivative of -5*k**7/42 + k**6/2 + 3*k**5 - 10*k**4/3 + 196*k**2. Let i(y) = 0. Calculate y.
-2, 0, 2/5, 4
Factor -c - 6 - 6*c**2 + 12 + 8*c**3 + 5*c - 12*c.
2*(c - 1)*(c + 1)*(4*c - 3)
Let d(o) be the first derivative of -o**6/2160 + o**4/36 + 2*o**3/3 + 7. Let f(m) be the third derivative of d(m). Suppose f(i) = 0. What is i?
-2, 2
Factor 18/7 + 38/7*c + 22/7*c**2 + 2/7*c**3.
2*(c + 1)**2*(c + 9)/7
Factor 32/3 - 16/3*y**2 + 32/3*y - 32/3*y**3 - 2/3*y**5 - 14/3*y**4.
-2*(y - 1)*(y + 2)**4/3
Let l(m) be the third derivative of -m**6/60 + 3*m**5/10 - 2*m**4/3 - 254*m**2 - 1. Factor l(c).
-2*c*(c - 8)*(c - 1)
Let q(g) = 12*g + 3. Let z be q(0). Let t(o) be the third derivative of 0*o - 1/21*o**4 + 0 - 8/21*o**z - 1/420*o**5 + 4*o**2. Factor t(d).
-(d + 4)**2/7
Let i(q) be the third derivative of -3*q**2 - 1/30*q**6 + 1/8*q**4 + 0*q + 1/3*q**3 - 1/30*q**5 + 0*q**7 + 1/336*q**8 + 0. Factor i(v).
(v - 2)*(v - 1)*(v + 1)**3
What is t in -16/3*t**4 - 2/3*t**5 + 16/3*t**2 + 32/3*t + 0 - 10*t**3 = 0?
-4, -1, 0, 1
Let q(c) be the third derivative of c**6/60 + 2*c**5/15 + c**4/4 + 3*c**2 - 2. Factor q(v).
2*v*(v + 1)*(v + 3)
Let i(c) be the second derivative of c**5/110 - 2*c**4/33 - c**3/3 + 30*c**2/11 - 323*c. Factor i(y).
2*(y - 5)*(y - 2)*(y + 3)/11
Let i be 15/(-20) - 253/(-92). Factor 9/4*l**i + 1/4*l**4 + 1/2 + 7/4*l + 5/4*l**3.
(l + 1)**3*(l + 2)/4
Let y(j) be the second derivative of 3*j + 0 + 1/5*j**5 - 2/3*j**3 + 1/3*j**6 + 0*j**2 - 5/6*j**4. Factor y(z).
2*z*(z - 1)*(z + 1)*(5*z + 2)
Let h(n) be the first derivative of 3*n**5/10 + 15*n**4/8 - n**3/2 - 15*n**2/4 - 136. Let h(d) = 0. Calculate d.
-5, -1, 0, 1
Let h be ((-104)/80 + 17 + -16)*2*-1. Factor 17/10*t - h - 3/2*t**2 + 1/10*t**4 + 3/10*t**3.
(t - 1)**3*(t + 6)/10
Let m = 7954/4965 + -2/993. Solve 2/5*x**2 + m*x + 8/5 = 0.
-2
Factor -7/2*r**3 + 15/2*r**2 - 13/2*r + 1/2*r**4 + 2.
(r - 4)*(r - 1)**3/2
Suppose 0 = -c + 2*d + 12, 2*d = -4*c - 2*d + 24. Let o be (-6 - -1)*(-8)/c. Factor 4*j**3 - 10 - 4*j**o + 10 + 2*j**5 - 2*j.
-2*j*(j - 1)**2*(j + 1)**2
Factor -229 + 277 + i**2 - 6*i**2 + 2*i**2 - 45*i.
-3*(i - 1)*(i + 16)
Factor 3/7*v**5 + 6/7*v**3 - 9/7*v**4 + 0*v**2 + 0 + 0*v.
3*v**3*(v - 2)*(v - 1)/7
Let c(g) be the first derivative of -g**6/12 + g**5/4 - 5*g**4/24 - 14*g - 26. Let w(p) be the first derivative of c(p). Factor w(s).
-5*s**2*(s - 1)**2/2
Let v = -2 - 21. Let c = -21 - v. Factor s**3 - s**3 + c*s**2 - 8*s**5 + 2*s**3 - 6*s**3 - 14*s**4.
-2*s**2*(s + 1)**2*(4*s - 1)
Let h(k) be the third derivative of -k**7/105 + 29*k**6/60 - 9*k**5/10 - 29*k**4/12 + 28*k**3/3 + 21*k**2. Find j, given that h(j) = 0.
-1, 1, 28
Let r = -2433 - -2433. Let w(o) be the second derivative of r - 3/2*o**3 - 3/20*o**5 + 0*o**2 + o**4 + 9*o. Factor w(x).
-3*x*(x - 3)*(x - 1)
Let f(k) be the third derivative of 0 - 1/6*k**4 - 1/30*k**5 + | {
"pile_set_name": "DM Mathematics"
} |
.
1097717
Simplify (sqrt(396) + (sqrt(396) - (sqrt(396) - (sqrt(396) + 2))) + 2 + 2 + 1)**2 + 0.
168*sqrt(11) + 1633
Simplify -2*-2*(3 + ((sqrt(1900)*3)**2 + sqrt(1900) - sqrt(1900))).
68412
Simplify -5*(-2 + (sqrt(2) - -6*1*sqrt(2))) - ((1 + sqrt(200))**2 + -3 + (sqrt(2) - sqrt(6)/sqrt(3))**2).
-188 - 55*sqrt(2)
Simplify (-3*(-1 + ((-3*sqrt(80))/sqrt(8) - sqrt(10))/((sqrt(45)*3)/sqrt(9))))**2.
24*sqrt(2) + 41
Simplify -4*sqrt(96)/sqrt(8)*2*1*2.
-32*sqrt(3)
Simplify -1*((-4 + sqrt(288))**2*-6 + -5*(sqrt(288) + -3)).
-516*sqrt(2) + 1809
Simplify (1*(sqrt(275) - (sqrt(275)*-1)**2) - (-4 + (sqrt(176) + 0)**2))*1.
-447 + 5*sqrt(11)
Simplify (3*(sqrt(99) + -1*sqrt(99) + sqrt(99))*-4)/(sqrt(324)*1*-1).
2*sqrt(11)
Simplify (-5*sqrt(1584))/(sqrt(4) - sqrt(32)/(sqrt(8) + sqrt(72))).
-40*sqrt(11)
Simplify ((sqrt(1377) + 1)*3 - sqrt(1377)*1*2)**2 + (1*sqrt(68)*1 + sqrt(68))/(sqrt(400) - (sqrt(400) - sqrt(400)*-2 - sqrt(400))).
269*sqrt(17)/5 + 1386
Simplify ((-5*(sqrt(120) + -1*sqrt(120)))/(sqrt(10) + sqrt(250)*3))**2*-5.
0
Simplify 6*(5 + 2*(sqrt(1900) + 0 + 0)).
30 + 120*sqrt(19)
Simplify -1*((-1 + sqrt(1331))**2 + sqrt(1331)) + 3 - (sqrt(77)/(1*sqrt(7)) - (-4 + sqrt(66)/sqrt(6) - sqrt(11))).
-1333 + 10*sqrt(11)
Simplify ((-2*(sqrt(72)*-2 + sqrt(72)))/sqrt(8))/(sqrt(18)/(sqrt(6) + sqrt(24) - sqrt(6)) + sqrt(12)*-5).
-4*sqrt(3)/19
Simplify ((-1*sqrt(270))/(sqrt(96)*-3))**2 + -2 + sqrt(45)/((-1*sqrt(27) - sqrt(27))/sqrt(3)).
-27/16 - sqrt(5)/2
Simplify -2*(6*((sqrt(80) + 1 - sqrt(80)) + sqrt(80) - sqrt(80) - sqrt(80) - sqrt(80))**2 - (2 + sqrt(80))*3) + -1.
-3841 + 216*sqrt(5)
Simplify ((sqrt(72) - (sqrt(72) + sqrt(72) + -5 + (sqrt(72)*2 - sqrt(72)) + sqrt(72) + sqrt(72))) + -4 + -1*sqrt(72) + -5)**2.
240*sqrt(2) + 1816
Simplify (-2 + (3*sqrt(2057) + 5 - sqrt(2057) - (sqrt(2057) + 2)*1) + 0)**2.
22*sqrt(17) + 2058
Simplify 3 + (sqrt(68) + sqrt(68) + 2 - sqrt(68))**2 + -5*(-2 + sqrt(68)) + -4.
-2*sqrt(17) + 81
Simplify 2*3*(1*sqrt(75))**2 - (sqrt(75)*2*3 + sqrt(75) + sqrt(75) + (sqrt(75) - sqrt(75)*1)*-4).
-40*sqrt(3) + 450
Simplify (-2*sqrt(2057))**2*5 - ((sqrt(1700) + 1)**2 + -5).
-20*sqrt(17) + 39444
Simplify 2*(sqrt(180) + -2) + ((-2*sqrt(5000))/sqrt(10))**2.
12*sqrt(5) + 1996
Simplify ((sqrt(40) - (sqrt(40) - sqrt(280)/(sqrt(28)/sqrt(4))))/(sqrt(288) + sqrt(288)*-6))**2.
1/180
Simplify 3*(sqrt(88)*4)/sqrt(8) - -6*(sqrt(396) + -5)**2.
-348*sqrt(11) + 2526
Simplify (-2*(4 + sqrt(171) + (sqrt(171) + 0)*-6 + sqrt(171)))**2*2.
-768*sqrt(19) + 22016
Simplify (sqrt(76) + (sqrt(76) - (sqrt(76) + sqrt(76) + 1 + sqrt(76) + 5)) - sqrt(76) - (-4 + 1*sqrt(76)) - (-5 + (sqrt(95) + sqrt(95)*-1)/sqrt(5)*-4))**2.
-36*sqrt(19) + 693
Simplify ((sqrt(567)*-2)/sqrt(9) - -1*sqrt(2268))/((sqrt(108)/sqrt(4)*-4)/sqrt(3)).
-sqrt(7)
Simplify ((sqrt(13) + sqrt(65)/(sqrt(5) - sqrt(5)*-2))*-2)**2 - ((sqrt(13) - (1*sqrt(156))/sqrt(12)) + -2 + (sqrt(13)*-1)**2 + sqrt(13)).
-sqrt(13) + 733/9
Simplify -4 + 3*(sqrt(5) - ((-1*sqrt(30) - sqrt(30))/sqrt(6))**2) - (sqrt(15)/(sqrt(3) + -3*sqrt(3)) + sqrt(25)/sqrt(5)*-4).
-64 + 15*sqrt(5)/2
Simplify (sqrt(342)/(2*sqrt(9)*-5))/((sqrt(14)*-1)/sqrt(7) - (sqrt(242) + 1*sqrt(242))).
sqrt(19)/230
Simplify -1 + ((6*(sqrt(450) + sqrt(18)))/(sqrt(54)/(sqrt(6) - (-2*sqrt(6) + sqrt(6)))))**2.
10367
Simplify ((sqrt(66)*2 - sqrt(66))*-3 + (sqrt(66) + -2*sqrt(66))*-2)/(sqrt(294) + (sqrt(294)*-1*-4 - sqrt(294)) + sqrt(294)).
-sqrt(11)/35
Simplify -4 + 3 + sqrt(136)/(sqrt(64)/(sqrt(8)*2)).
-1 + 2*sqrt(17)
Simplify (-4 + -2 + -4*sqrt(68) + 3)**2.
48*sqrt(17) + 1097
Simplify 4*((0 + -4 + sqrt(343)*2)*-2)**2*-6.
-133248 + 10752*sqrt(7)
Simplify -2 + -3*-1*sqrt(1053) + 4.
2 + 27*sqrt(13)
Simplify ((4 + sqrt(1300) + 1 - (sqrt(1300)*2 + -2))*-3)**2.
-1260*sqrt(13) + 12141
Simplify ((-5*-2*sqrt(104) + sqrt(104))*4)/((sqrt(128) - (sqrt(128) - sqrt(128)*-2))*-1).
11*sqrt(13)/2
Simplify (1*(3 + 0 + 3*(0 + sqrt(72)) + 4))**2.
252*sqrt(2) + 697
Simplify (3*2*sqrt(152) - (sqrt(152) + sqrt(152) + sqrt(152) + sqrt(152)*1)*-5)/(1*sqrt(392)*-1)*-4.
104*sqrt(19)/7
Simplify -3*2*(sqrt(1900) - (sqrt(1900)*-1 - sqrt(1900))**2 - (4*sqrt(152))/sqrt(8)).
-36*sqrt(19) + 45600
Simplify (((sqrt(1000) - ((sqrt(1000) + sqrt(1000)*3 - sqrt(1000)) + sqrt(1000)))*3 + sqrt(1000))/(sqrt(12)/(sqrt(42)/(3*sqrt(7)) - sqrt(6))))**2.
128000/9
Simplify (sqrt(76) + 1 - (-1 + sqrt(304)) - (-3 + sqrt(931) + -2))**2.
-126*sqrt(19) + 1588
Simplify -5 + (2 + sqrt(11)*2 - sqrt(77)/(sqrt(7)*2 - sqrt(7))) + 5.
2 + sqrt(11)
Simplify ((sqrt(504) + 3*1*sqrt(504) + sqrt(504))/sqrt(12))/(sqrt(96) + (sqrt(96)*-3 + sqrt(96))*-1 + sqrt(96) + sqrt(96)).
sqrt(7)/4
Simplify ((5*sqrt(63))**2 - (sqrt(1008) + sqrt(1008)*-1 + sqrt(1008))**2 - 1*(sqrt(1008) + -2 + sqrt(1008))) + -5.
-24*sqrt(7) + 564
Simplify (sqrt(99)*2*2 + 3*(sqrt(99) + -2*sqrt(99)) + sqrt(99))/(sqrt(72)/(sqrt(24)/(sqrt(3)*3))).
2*sqrt(11)/3
Simplify (-2 + ((sqrt(135) - (sqrt(135)*-1 - sqrt(135)) - sqrt(135))/sqrt(9))/(1*sqrt(3)*3))**2.
-8*sqrt(5)/3 + 56/9
Simplify (sqrt(130) + sqrt(130)*3*2)/sqrt(10) - (2 + (sqrt(91)*3)/sqrt(7))**2.
-121 - 5*sqrt(13)
Simplify ((1*sqrt(240))/sqrt(10) + (sqrt(264)/(2*sqrt(11)) - sqrt(24)))/(sqrt(24)/(sqrt(6)/sqrt(2)) + sqrt(8) + -4*sqrt(128) + sqrt(8)).
-sqrt(3)/26
Simplify ((-5*(-2*sqrt(153) + sqrt(153))*3)/(sqrt(1089) - (1*2*sqrt(1089) - sqrt(1089)) - sqrt(1089)))**2.
3825/121
Simplify 6*(sqrt(5) + -2*sqrt(5) + sqrt(5) + 5 + sqrt(5) + sqrt(605) + 3)**2.
1152*sqrt(5) + 4704
Simplify ((-3*sqrt(50)*2)/(sqrt(70)/sqrt(7)*6))**2.
5
Simplify sqrt(1100) + 0 + sqrt(1100) + -3 + sqrt(1100) - sqrt(1100) - sqrt(110)/(-2*sqrt(1440) + sqrt(10)).
-3 + 461*sqrt(11)/23
Simplify (sqrt(12)/(sqrt(33)/(1*sqrt(11))))/(-3*-1*sqrt(2)*-6).
-sqrt(2)/18
Simplify ((sqrt(504) + (sqrt(504) - -1*sqrt(504) - sqrt(504)))*-3)/(4*sqrt(2)*4*-6).
3*sqrt(7)/8
Simplify 3 + (((sqrt(85)*1 - sqrt(85))*-6 - sqrt(85))*-4)/(sqrt(405) - (sqrt(405)*1*-3 - sqrt(405))).
4*sqrt(17)/45 + 3
Simplify (3 + sqrt(4212)*-2 + 4 + (sqrt(4212) - (1 + sqrt(4212))) + -2)**2*5.
-1440*sqrt(13) + 84320
Simplify (-5 + (sqrt(605) - -2*sqrt(605)*-3 - 3*sqrt(45)*-2))**2.
370*sqrt(5) + 6870
Simplify sqrt(209)/(sqrt(110)/(sqrt(10) - (sqrt(10) - sqrt(20)/sqrt(2)))) + -5*2*sqrt(19) + (-4 + (sqrt(19) - sqrt(19)*3))**2.
7*sqrt(19) + 92
Simplify (sqrt(539) + sqrt(539) + (sqrt(539) + -2)*-6)**2 + 2 - (-5*(sqrt(539) - sqrt(539)*2) + (sqrt(539) - (2 + (sqrt(539) + 0)**2))).
-714*sqrt(11) + 9311
Simplify -4*((sqrt(28) + sqrt(84)/sqrt(3) + 4 + sqrt(28) - sqrt(28) - sqrt(28)) + 4 + 4*(-4 + (sqrt(28) - sqrt(56)/sqrt(2))))**2.
-368 + 128*sqrt(7)
Simplify (((sqrt(76) + sqrt(76)*1)*4)/(sqrt(4)*1*4) - (5 + (sqrt(133)*-1)/sqrt(7) + 2))**2.
-42*sqrt(19) + 220
Simplify ((-3 + 2 + sqrt(325))**2 + sqrt(325) - -5*(sqrt(325) + -1))*3.
60*sqrt(13) + 963
Simplify ((sqrt(832) - -4*(sqrt(832)*-1 - sqrt(832)) - 2*(sqrt(832) + -1)) + -5 + (sqrt(832) - -1*sqrt(832)) + -1)**2 + 2.
448*sqrt(13) + 40786
Simplify 1*(-1 + sqrt(252))**2 - (-4*sqrt(343)*1 - (-1 + -2*sqrt(343) + sqrt(343)))**2.
-2835 + 30*sqrt(7)
Simplify -2 + 0 + (1*sqrt(1573))**2 + (-6*sqrt(1573)*2 + -2 + 0 + sqrt(1573))**2.
484*sqrt(13) + 191908
Simplify 2*(sqrt(242) + 1) - (sqrt(242) + -2 + sqrt(242) + -5)**2 - (5 + 1*sqrt(242))*3.
-1030 + 297*sqrt(2)
Simplify -4 + 0 + sqrt(208) - (1 + (3*sqrt(26)/sqrt(2))**2).
-122 + 4*sqrt(13)
Simplify (-4 + 1 + sqrt(242)*-1 + -1*sqrt(8))**2.
78*sqrt(2) + 347
Simplify -4 + ((4 + sqrt(17) + 1 - sqrt(17))**2 - sqrt(816)/sqrt(3)).
-4*sqrt(17) + 21
Simplify ((sqrt(528) - 4*sqrt(528))*-3)/(4*(sqrt(12) + sqrt(12) + 3*sqrt(12)))*3.
27*sqrt(11)/10
Simplify -3*-3*((5*sqrt(99)*1)/(sqrt(9)*-1*-3))**2.
275
Simplify 5 + ((1*sqrt(72) - sqrt(72))/sqrt(4))/(sqrt(6) - -5*sqrt(294)).
5
Simplify (-3 + -2*sqrt(13))**2*3*3 - ((sqrt(13) - 1*sqrt(117)) + -2 + sqrt(468))**2.
337 + 124*sqrt(13)
Simplify (((sqrt(336) - (sqrt(336) - (sqrt(336) - (sqrt(336) - sqrt(336)*-1))))/sqrt(8)*6)/(5*-2*sqrt(96)))**2.
63/400
Simplify (-1*sqrt(190)*-1*-1)/(((sqrt(10) - sqrt(40))*-3 + sqrt(10) - sqrt(10)) + sqrt(360)*2).
-sqrt(19)/15
Simplify (-3*(sqrt(17) + 0)*4 + -3 + -2*sqrt(17) + -1)**2.
112*sqrt(17) + 3348
Simplify 1*((sqrt(44) + -5 + sqrt(132)/sqrt(3))**2 + sqrt(132)/(1*sqrt(12)) + -1 + (sqrt(11) + 2 - sqrt(11))).
-39*sqrt(11) + 202
Simplify -4*sq | {
"pile_set_name": "DM Mathematics"
} |
- 2*p)*(-1 + 0 + 3) + 48*p - 71*p + 2 + 0.
-26*p + 2
Expand (2*j + 2*j**3 - 2*j)*(-1 - 3*j + 1 + 12*j - 2 + 2 + (3*j + 0*j - 2*j)*(-1 - 2 + 2) + j + 0 + 0)*(0 + 5 + 0).
90*j**4
Expand (2 - 15*p**2 + 9*p**2 - 3)*(10 - 27 - 26).
258*p**2 + 43
Expand (-8*q**2 - 6*q**2 + 8*q**2)*(-2*q - q + q)*(-29 - 23 + 28).
-288*q**3
Expand (13 - 28 + 7)*(4 - 4 - 3*j**2) + (0*j + 0*j - j)*(0*j + 0*j - 2*j).
26*j**2
Expand 2*k + 0*k - k + 1 + 20*k - 5*k - 8*k - 2*k + 3*k - 2*k + 2*k + 2 - 2 + 4*k - 6*k + 0*k + (k + 0*k + k)*(1 - 2 + 0) - 4*k + k + k + 3*k + 3*k - 5*k.
4*k + 1
Expand (8 + 1 + 10)*(0 + 2 - 4)*(3*n - n + n) + 2*n - 4*n + 3*n.
-113*n
Expand (14*t**2 - t**4 - 13*t**2 - 3*t**2)*(12 + t - 12).
-t**5 - 2*t**3
Expand (-2 + 5*a**2 - 3*a**2 + 3)*(2 - 1 - 2) - 7*a**2 + 21*a**2 + 13*a**2.
25*a**2 - 1
Expand (-2*p**4 + 2*p**4 + p**4)*(-184 + 293 + 200) - 3 + 3 + 2*p**4.
311*p**4
Expand (-g + 6*g - 3*g - 5*g + g + 2*g + (-2*g + g - g)*(7 - 3 - 2) - 2 + 2 - g - 2 + 2 - g)*(4512 - 4512 + 81*g).
-486*g**2
Expand (3*b - 2*b - 2*b)*(0*b - 5*b + 4*b) - 4*b**2 + 0*b**2 - 1 + 8*b**2.
5*b**2 - 1
Expand 0*y + 0*y - y**2 + (-4 - 2*y**2 + 4)*(-25 - 15 + 146).
-213*y**2
Expand (0 - 1 - 3*c + 2*c)*(-88*c**2 + 159*c**2 - 90*c**2).
19*c**3 + 19*c**2
Expand (-302*y - 972*y + 296*y)*(5 - 3 + 0).
-1956*y
Expand -1 - y**2 + 1 + (4*y + y - 3*y)*(-y - y + y) + 119*y**2 + 278*y - 278*y + y**2 + 3*y**2 - 2*y**2 - y**2 - 4*y**2 + 4*y**2.
117*y**2
Expand -31*c + 31*c + 12*c**4 + c - c**4 - c + (c + 4 - 4)*(-2*c**3 - 3*c + 3*c) + 0*c + 0*c + 8*c**4.
17*c**4
Expand (n + 3*n - n + (5*n - 2*n - 2*n)*(1 + 1 - 1))*(7*n**2 - 4*n**2 - 2*n**2) + 14*n**2 + 6*n**3 - 14*n**2.
10*n**3
Expand 4*p**2 + p**3 - 4*p**2 + (-2*p**2 - 2*p**2 + 5*p**2)*(-4 + 4 + p) + 2*p**3 - 1201*p + 7*p**2 + 1202*p + 0*p**3.
4*p**3 + 7*p**2 + p
Expand (27*p**3 + 4*p - 6*p - 34*p**3)*(2*p + 0*p - 5*p).
21*p**4 + 6*p**2
Expand (n**3 - 3*n**3 + 0*n**3)*(242 - 489 + 248).
-2*n**3
Expand (1 - 1 + 2*b**3)*(-121*b**2 + 104*b**2 + 304*b**2).
574*b**5
Expand (9*l + 14*l - 4*l)*(2*l**4 - 3*l**4 + l - 2*l).
-19*l**5 - 19*l**2
Expand (-h**2 + h**2 - 2*h**3 + (2*h**2 - 2 + 2)*(-2*h - h + 5*h))*((3 + 1 + 11)*(0*h + 4*h - 5*h) + 0*h + h + 0*h).
-28*h**4
Expand (920*x**2 - 1536*x**2 + 1194*x**2)*(-4*x**3 + 2*x**3 + x**3).
-578*x**5
Expand (2*x - 2*x - 5*x**2)*(2*x - 26*x + 4*x).
100*x**3
Expand (-2*i + 6*i - 2*i)*(25 - i - 25) + 2731*i + 54*i**2 - 2731*i + i**2 - 3*i**2 + i**2.
51*i**2
Expand (-1 + 0 - 2*x + 3)*(621 - 328 - 340)*(x + 0*x - 3*x).
-188*x**2 + 188*x
Expand (-n - 2*n + 4*n)*(-4*n + 0*n + 5*n)*(25 - 19 - 19 + 1 - 4 - 1 + (-1 + 5 - 2)*(2 - 1 + 0) + 0 - 5 + 4).
-16*n**2
Expand (-u**4 - 3*u**4 - u**4)*(1 - 3 - 1)*(5 - 5 + 20)*(2 - 2 - 2).
-600*u**4
Expand (-2*l**3 - 5*l**3 + 2*l**3)*(0*l + l + l)*(0 + 1 + 2).
-30*l**4
Expand (-1 + 3 + 1)*(-3*a**2 + 7*a**2 + 2*a**2) - a**2 + a**2 + 7*a**2.
25*a**2
Expand ((2 + 0 - 1)*(5*b - 4*b + b) + 3*b - b - 4*b + (0*b - b + 3*b)*(3 - 2 - 2) + 761*b - 376*b - 517*b)*(2 - 4 - 9).
1474*b
Expand 139 - 139 + 12*l**3 + (-3*l + 3*l - 3*l)*(l**2 - 5*l**2 + 2*l**2).
18*l**3
Expand (1 - 3*z - 1)*(z - 3 + 3) - 60 - 66*z**2 + 121 - 60.
-69*z**2 + 1
Expand (-4*c**3 + 3*c**3 + 2*c**3 - 3*c**3 + c**3 + 3*c**3 + 3*c**3 - c**3 - 3*c**3 + (-5*c - c + 3*c)*(3*c**2 + 0*c**2 - c**2))*(-19 + 20*c + 19).
-100*c**4
Expand (3 - 21 - 1)*(189*s**3 - 52*s**3 - 73*s**3).
-1216*s**3
Expand (-75 - 78 + 19)*(w**5 + w**5 - w**5).
-134*w**5
Expand ((4 - 1 - 5)*(b - 3*b + b) + 4 + 17*b - 7*b - 9*b)*(-4 + 3 + 3)*(b + 2 - 2).
6*b**2 + 8*b
Expand (r + 2*r - r)*(0 + 1 + 1) - 4473*r + 3070*r + 2974*r.
1575*r
Expand (1 + 1 - 7)*(-3*h - 2*h + 2*h) + (4 + 0 + 10)*(2 + 0 - 3)*(-h + 2*h + h).
-13*h
Expand (-2*j + 6*j + 2*j**2 + j)*(4*j**3 + 796*j - 796*j).
8*j**5 + 20*j**4
Expand (-19 - 68 + 21)*(-6*c**2 + 2*c**2 + c**2)*(0*c + c - 3*c).
-396*c**3
Expand (-2*n + 2*n + n)*(-7*n + 6*n + 11*n) - n**2 + 2*n**2 + n**2.
12*n**2
Expand (8*l - 39*l - 3*l)*(-7*l**2 + 7*l**2 + 5*l**3 + (5*l - 3*l - l)*(-1 - 2*l**2 + 1) + l**3 - l**3 - 2*l**3).
-34*l**4
Expand (2*v + v + v)*((0 + 2*v + 0)*(-2 - 1 + 2) + 0*v + 5*v - 2*v + (v - 6*v + 2*v)*(2 + 1 - 5))*(0 + 0 - 2).
-56*v**2
Expand 2*q**3 + 0*q**3 - 3*q**3 + (2*q + 2*q - 2*q)*(-q + q + q**2) + (-5 + 1 - 2)*(3*q**2 - 3*q**2 - 2*q**3).
13*q**3
Expand (-70*m + 27*m + 27*m)*((-3*m**3 + 3*m**3 - m**4)*(3 - 2 - 2) - 2*m**4 + 3*m**4 - 4*m**4).
32*m**5
Expand (-7 + 2 + 2)*(5 - 9 + 2)*(2*n + 2*n - 5*n)*(-2 - 1 + 2).
6*n
Expand (6*t - 14 + 14)*(-2 - 2 + 2)*(0 + 0 - 3).
36*t
Expand (-6104*k - 6095*k + 12188*k - 2)*(-k**2 + 0*k**2 + 2*k**2 + k**2 - 3 + 3 + (2*k + 3 - 3)*(k - 2*k + 2*k) - 4*k + 4*k - k**2).
-33*k**3 - 6*k**2
Expand ((-6*z**3 + 2*z**3 - z**3)*(3 + 1 - 5) + 0*z**3 + 0*z**3 + 2*z**3)*(-z - 540*z**2 + 534*z**2 + 5*z).
-42*z**5 + 28*z**4
Expand -17*d**2 + 23*d**2 - 4*d**2 + 25*d**3 + (3*d**2 - 3*d**2 + 2*d**3)*(4 - 4 + 2).
29*d**3 + 2*d**2
Expand (-13*h**2 + 10*h**2 + 22*h**2)*(2 - 3*h - 2)*(0 + 1 + 0*h**2 - 2*h**2).
114*h**5 - 57*h**3
Expand 14*o**2 + 4*o**2 + 13*o**2 + (0*o - o + 2*o)*(4*o - 4*o - o) + 6*o**2 - 5*o**2 - 2*o**2 + (-2*o - 3*o + 4*o)*(0*o - 4*o + o).
32*o**2
Expand (-8*z + 1175 - 1175)*(10*z**4 + 8*z**4 - 3*z**4).
-120*z**5
Expand 3 + 9*y**2 + 3 - 9 + (-y - y + 0*y)*(-4*y - 3*y + 5*y) + y**2 - 3*y + 3*y.
14*y**2 - 3
Expand (0*x + 6*x - 4*x)*(-6*x - 2*x + 5*x)*((2*x**2 + 2*x**2 - 2*x**2)*(0*x + x + x) + 13*x**3 - 14*x**3 + 20*x**3).
-138*x**5
Expand (7*n**4 + 2*n**4 - n**4)*(-n + n + n)*(3 - 2 - 6).
-40*n**5
Expand (0*s + 3*s - 2*s)*(8 - 11 + 18)*(2 - 2 + s**2).
15*s**3
Expand -7*o + 4*o + 4*o + (-1 + 2 - 3)*(-1 + o + 1) + 2*o - 1 + 1 + 43*o + 13*o + 8*o.
65*o
Expand (0*h**2 + 5 + h**2 - 6)*(174*h**2 + 130*h**2 - 247*h**2).
57*h**4 - 57*h**2
Expand -8*m**5 - 9*m**4 + 9*m**4 + (1 - m**4 - 1)*(-51*m - 19*m - 27*m).
89*m**5
Expand (-3*f + f + 8*f)*(98*f - 29*f**3 - 98*f).
-174*f**4
Expand (-2*p**2 - 4390 + 4463 + 3*p**2)*(-3*p + 0*p + p)*(-3*p + p + p).
2*p**4 + 146*p**2
Expand (-1422 + 1675 + 1793 + 161)*(1 - 1 - 2*f**2).
-4414*f**2
Expand 0*n**4 + 2*n**5 - 9*n**2 + 8*n**4 - 7*n**4 + (3*n**2 + n**4 - 3*n**2)*(n - 3*n - n).
-n**5 + n**4 - 9*n**2
Expand -123*u + 51*u - 69*u + (0 + 2*u + 0)*(5 - 3 - 4).
-145*u
Expand (2 + 4*d - 2)*(4 + 1 - 2) + (-2*d + 9*d - d)*(2 + 1 + 0).
30*d
Expand 32*r**3 - 22*r**2 - 35*r**3 + r**4 - 2*r**2 + (-2*r - 5*r + 5*r)*(-r**2 + r**2 + r**3).
-r**4 - 3*r**3 - 24*r**2
Expand (-169 - 155 + 191)*(-18*s - 14*s + 37*s) + 2 + 2*s - 2.
-663*s
Expand (-15 + 4*q**3 - q**3 + 32)*(-1 - 5*q**2 + 1).
-15*q**5 - 85*q**2
Expand 0*y**3 + 3*y**3 - y**3 + (-2*y**2 + 0*y**2 + 0*y**2)*(0*y + 4*y - 6*y) + y**3 - 2*y**3 - y**3 - 126*y**3 - 197*y**3 - 65*y**3.
-384*y**3
Expand 5 - 5 + 15*g - 1 + 1 - 2*g + (-5*g + 4*g - g)*(-2 + 2 + 2) - 2 + 2*g + 2 + 4*g - 2*g - 4*g + 96*g - 99*g + 81*g.
87*g
Expand (-13*k + 2 - 1 - 2)*(7 - 40 - 8) + (2*k - k + 0*k)*(-3 - 3 + 4).
531*k + 41
Expand (91 - 435*q + 437*q + 93)*(2*q - 2*q - 4*q**3).
-8*q**4 - 736*q**3
Expand (-3 + 1 + 0 + 0 + 1 + 1 + (-5 - 4 + 2)*(2 + 0 + 0) + 1 + 1 - 1)*(2 + 2*m - 2)*(2 - 2 - m).
26*m**2
Expand -8*c**5 - 7*c**5 - 3*c**5 + (2*c**2 - 3*c**3 - 2*c**2)*(-c**2 - 2*c**2 + c**2) + (c**4 - 2*c**2 + 2*c**2)*(c - 3*c + 4*c).
-10*c**5
Expand (1 + 0 + 1)*(-1 + 0 - 7)*(4*h + 2 + 0 - 4).
-64*h + 32
Expand h**4 - 2 + 0 + h**4 + (-28*h**2 - 21*h**2 + 9*h**2)*(h**2 + 4*h**2 - 6*h**2 + (-2 + 2 - h)*(-3*h - h + 6*h)).
122*h**4 - 2
Expand -25*q**3 + 5*q**3 + 4*q**3 + (-2*q**2 - 2*q**2 + 3*q**2)*(-4 + 4 - 4*q).
-12*q**3
Expand -5*x**5 - 10*x**5 - 14*x**5 + (1 - 6*x - 1)*(-5*x**4 + 2*x**4 + 0*x**4).
-11*x**5
Expand (-j**3 - 4*j**3 + 3*j**3)*(-2 + 2*j + 2 + (-1 + 4 - 5)*(-2*j + 2*j + 2*j) + 0*j - j - j)*(36 - 52 - 33) - 3*j - 2*j**4 + 3*j.
-394*j**4
Expand (4*i + 2*i - 4*i)*(57 + 38 - 2) - 4*i + 0*i + i + (0 + 0 + 2)*(-1 + 1 + 2*i) + 7*i - 2*i - 3*i.
189*i
Expand w**4 - w**5 - w**4 + (-4*w**3 + 4*w**3 + w**3)*(w**2 + w**2 - 5*w**2) - 95*w**2 - 148727*w - 4*w**5 + 148727*w.
-8*w**5 - 95*w**2
Expand (1 + 8 - 1 + (-1 - 2 + 1)*(-4 + 6 + 1) + 0 - 1 + 0)*(45*y - 12 - 9 + 22).
45*y + 1
Expand (200 + 504 - 352 + 213)*(2*a**4 - 3*a**4 - 3*a**4).
-2260*a**4
Expand -160*u - 1 - 480*u - 89*u - 3*u + (u + 0*u - 2*u)*(-3 + 0 + 2).
-731*u - 1
Expand h + 1 | {
"pile_set_name": "DM Mathematics"
} |
c
What is the third biggest value in 0.1, 51.5, -0.4?
-0.4
Which is the fourth smallest value? (a) -3 (b) -5 (c) 9 (d) 48 (e) -1/2
c
What is the fifth smallest value in 2, -25, 7, 1/2, -0.4?
7
What is the third smallest value in -15/2, -0.18, -2/5, -0.3?
-0.3
Which is the biggest value? (a) 1 (b) -5 (c) -85/7 (d) -1/2
a
What is the smallest value in 3, -0.72, 5, -0.5, -0.02?
-0.72
What is the third smallest value in -5, 5, 1/11, -0.2?
1/11
What is the third smallest value in 2, 2.3, -18?
2.3
Which is the second smallest value? (a) -7 (b) -4 (c) -0.7 (d) 2/9 (e) -0.06
b
What is the third biggest value in 21, -9, 0.017, -5?
-5
What is the second smallest value in 0, 364/25, 5?
5
What is the second biggest value in -1/4, -18, -2?
-2
What is the third biggest value in 71, 16, 1/4?
1/4
What is the fourth smallest value in 333, 5, 4/7, 1?
333
What is the second smallest value in -1, 2, 4/47, 17?
4/47
What is the third smallest value in 114, 0.1, -15?
114
What is the second biggest value in -5, 4, -0.4?
-0.4
Which is the third biggest value? (a) -173 (b) 0 (c) -0.2
a
Which is the second biggest value? (a) 1/3 (b) 4 (c) -151 (d) 0
a
Which is the biggest value? (a) 4/3 (b) 1/2 (c) 0.03 (d) 4
d
Which is the fifth biggest value? (a) -0.3 (b) 3 (c) -3 (d) 0 (e) -4
e
Which is the second biggest value? (a) 0.2 (b) 73/15 (c) 1
c
Which is the smallest value? (a) -16/7 (b) 4 (c) -16 (d) 2/13
c
Which is the fourth biggest value? (a) 2 (b) 10 (c) -1/9 (d) 0.4
c
Which is the fourth biggest value? (a) 4 (b) 2/11 (c) 11 (d) -3.5
d
Which is the biggest value? (a) -1/15 (b) 0.3 (c) -4
b
What is the biggest value in -3, -111/2, -0.3, -0.4?
-0.3
Which is the biggest value? (a) -3 (b) 3/7 (c) 2/15 (d) 1/4 (e) -3/8
b
What is the third smallest value in -2/5, -5, 0?
0
Which is the biggest value? (a) 2/21 (b) -9/5 (c) -2/3 (d) -35
a
What is the biggest value in 0, -3/7, -2?
0
Which is the biggest value? (a) -4 (b) 0.35 (c) 8
c
Which is the smallest value? (a) -1 (b) 2/9 (c) -5 (d) -3
c
Which is the second biggest value? (a) -4.38 (b) 4 (c) 11
b
What is the second smallest value in 1/5, -5, -0.17?
-0.17
Which is the third smallest value? (a) -2 (b) 27 (c) -0.02 (d) 0.1
d
What is the biggest value in 1842, 5, -0.5?
1842
What is the smallest value in -0.4, -1, 27?
-1
What is the third smallest value in 1/5, 1/11, -383?
1/5
Which is the biggest value? (a) 0.839 (b) 5 (c) -2/7
b
What is the fifth smallest value in 0.5, -3, 0.3, 0.6, -4?
0.6
Which is the fourth biggest value? (a) -105.7 (b) -3 (c) -5/3 (d) -0.5
a
What is the fifth biggest value in 4, -4, -0.3, -3, 4/7?
-4
Which is the second smallest value? (a) -2/17 (b) 0.09 (c) -3
a
Which is the smallest value? (a) 4/7 (b) -10 (c) -1 (d) -0.14
b
What is the fourth smallest value in -3, -3/4, -0.4, 45?
45
What is the second smallest value in 1/4, 1, -18, -17?
-17
What is the biggest value in 4, 1.6, -17, 0, -1/7?
4
Which is the second smallest value? (a) 3 (b) -1/4 (c) 0.09 (d) -0.5
b
Which is the smallest value? (a) 5 (b) -266 (c) 14
b
What is the second smallest value in -6, -2/5, 1?
-2/5
What is the third biggest value in 0.5, 1/6, 0.3, -2, 0.65?
0.3
What is the third biggest value in 19, 0.3, 1/5, 6?
0.3
What is the smallest value in -0.2, -3, 8?
-3
Which is the fifth smallest value? (a) -0.1 (b) -30 (c) -2 (d) 6/13 (e) -3
d
What is the fourth biggest value in 3, -0.1, 0.2, -6, 1/43?
-0.1
Which is the third biggest value? (a) -43 (b) -3 (c) 7/5
a
What is the second smallest value in -3/2, -407, -0.3?
-3/2
Which is the second smallest value? (a) -2/41 (b) -5 (c) 5
a
What is the fifth smallest value in 10/7, -5, -0.4, -1, 1/6?
10/7
What is the second biggest value in -2/5, 243, -2/9, 4?
4
What is the second biggest value in -1, 59, -2?
-1
What is the biggest value in -0.136, 1/3, 3, 5, -3?
5
Which is the second smallest value? (a) 1.25 (b) 1 (c) -5
b
What is the smallest value in 0.122, 3, 7/2?
0.122
Which is the second smallest value? (a) 1 (b) 2/11 (c) 0.2
c
What is the third biggest value in 4, -1, 0.1, -1/29?
-1/29
What is the smallest value in 3, 33, 0.2?
0.2
What is the second biggest value in -2/9, 0.2, -556?
-2/9
What is the third biggest value in -640, 4, -0.3, -4, 0.02?
-0.3
Which is the smallest value? (a) 5 (b) -1086 (c) -2/13
b
Which is the fourth biggest value? (a) 2/5 (b) 6/7 (c) -5 (d) -0.073 (e) 3/8
d
Which is the second biggest value? (a) 1 (b) 1125/7 (c) -0.5
a
What is the fourth smallest value in 6, 1/2, 2/5, -4?
6
Which is the third smallest value? (a) 8 (b) 0 (c) 3/2 (d) 5
d
Which is the second biggest value? (a) -4 (b) 1/29 (c) 0.06 (d) 2 (e) -2/7
c
What is the second biggest value in -33.2, 0.1, -0.5?
-0.5
Which is the fourth smallest value? (a) -1 (b) 2/9 (c) -4 (d) -150/11
b
Which is the third smallest value? (a) 1/8 (b) -2/97 (c) 4 (d) 0.3
d
What is the biggest value in 3, 0, 461?
461
What is the second biggest value in 1/4, 0.4, 0.5, -0.3?
0.4
Which is the second smallest value? (a) -0.3 (b) -1/6 (c) 71
b
What is the fifth biggest value in -0.3, 1.6, -1, -0.02, 3?
-1
What is the fourth biggest value in -32, 1/12, 3, -1/3, -0.2?
-1/3
What is the second smallest value in 1, 99, -3?
1
Which is the second smallest value? (a) -5 (b) -315 (c) -4
a
Which is the smallest value? (a) 2 (b) -101 (c) -5 (d) -2 (e) 0.3
b
Which is the fifth biggest value? (a) -1 (b) 1/4 (c) -92 (d) 7 (e) -2/21
c
Which is the smallest value? (a) -10 (b) 3 (c) 3/2
a
What is the third biggest value in 0.21, 0, -2, -2/3, 5?
0
Which is the third smallest value? (a) 2/11 (b) 0.5 (c) -0.5 (d) -5/3
a
What is the smallest value in -4, 4, 1.6, -1?
-4
Which is the smallest value? (a) 85 (b) 8 (c) -1/4 (d) 0.3
c
Which is the biggest value? (a) -12 (b) 4 (c) -2
b
What is the fourth smallest value in 2/9, 0.4, -0.21, -0.3?
0.4
What is the biggest value in -0.3, 20, -0.1, -2?
20
What is the smallest value in -0.3, 2, 1.13?
-0.3
Which is the third smallest value? (a) 3 (b) 0 (c) -362 (d) -5
b
What is the biggest value in -1/4, 0.01, -1/2?
0.01
Which is the fourth smallest value? (a) 1 (b) -3 (c) -1 (d) -5 (e) 0.3
e
Which is the second smallest value? (a) -2/31 (b) 2/3 (c) 0.2
c
What is the third smallest value in -4/11, 5, 0?
5
What is the fourth biggest value in 3/4, 6, -1/2, 31?
-1/2
What is the biggest value in -3/2, -1, -0.1, 0, -0.4?
0
What is the fourth biggest value in 0.1, 0.5, 0.28, -2/9?
-2/9
Which is the second biggest value? (a) 1/16 (b) -0.031 (c) 2
a
Which is the third biggest value? (a) -0.3 (b) -2/9 (c) 0.61 (d) -7
a
Which is the second biggest value? (a) -3/7 (b) 271 (c) -0.2
c
Which is the second smallest value? (a) -2 (b) 3/4 (c) 4/5
b
Which is the biggest value? (a) -4 (b) 0.2 (c) 3 (d) -44
c
Which is the third smallest value? (a) 4 (b) 0.1 (c) -19
a
What is the fourth biggest value in 0.5, -0.1, -16/7, 4?
-16/7
What is the biggest value in 0, 0.1, 0.3, -2/259?
0.3
What is the third biggest value in 0.5, 27, 1/8?
1/8
Which is the second biggest value? (a) 882 (b) -4 (c) -3
c
What is the third biggest value in 4/5, 1, 2433/4, 0.4?
4/5
What is the third biggest value in -4/3, 0.21, 4, 1.5?
0.21
Which is the third smallest value? (a) -3 (b) 4 (c) 3 (d) -0.3
c
What is the second biggest value in -1, -2/13, 20, 2, 5?
5
What is the third smallest value in 0.4, 0, 0.033, 3?
0.4
What is the third biggest value in 3/4, -23, 5, -4?
-4
What is the fourth biggest value in -0.1, 2/21, -1/2, -12/13?
-12/13
What is the third biggest value in 4, 16, 1/307?
1/307
What is the second smallest value in 2/5, -4, -341?
-4
What is the fourth biggest value in -2/19, 3/5, -81, -6?
-81
What is the third biggest value in 3/4, 15, 5/3, -2/3, 4?
5/3
What is the second biggest value in -5, -15, 5?
-5
Which is the third biggest value? (a) 3 (b) -5 (c) -4/5 (d) 2.76
c
Which is the third smallest value? (a) -0.3 (b) -1/5 (c) 1 (d) -2
b
What is the fourth biggest value in -152, -6, -0.5, -4?
-152
What is the third smallest value in -6, 5/2, -0.4?
5/2
What is the smallest value in -0.4, 2/7, 2/11?
-0.4
What is the fourth smallest value in -3, | {
"pile_set_name": "DM Mathematics"
} |
Evaluate 71/(-710) + 4/40.
0
(-19608)/(-688)*(-3)/(9/2)
-19
Calculate 66/(-11)*(130/(-380))/(-13).
-3/19
What is 908/(-1589)*(567/6)/(-3)?
18
What is 380 - 381 - 18/2?
-10
Evaluate ((-66)/275)/(1*(-4 - (-88)/20)).
-3/5
Evaluate -1 - (-1 - 12/88).
3/22
Calculate ((-9 + 13)/12)/(8 + 2235/(-279)).
-31
((-11832)/850 - -14) + (-233)/100
-9/4
What is (-5984)/308 + -26 + 42?
-24/7
Evaluate 14 + -4 - 3 - (-2295)/(-330).
1/22
What is the value of 212599/(-1069926)*-26 - (-2)/(-11) - 5?
-2/129
Calculate (((-18)/(-21))/3)/(436/763).
1/2
What is -6 - (170288/(-27608) - 2/17)?
2/7
Calculate (40/(-160))/(10/25).
-5/8
What is (-7)/10*(-582)/679?
3/5
Evaluate (-16 + -2)/((-4)/26 + 1540/715).
-9
Evaluate 0 - 18/144*-2.
1/4
What is the value of (13/13)/(26/598)?
23
What is the value of 45/21 + 4884/(-8316)?
14/9
What is the value of ((-14)/168)/(13/26)?
-1/6
Calculate (-60)/(-50)*(-15)/(-8).
9/4
What is 107/8 + (-6)/5 + (-5544)/(-6720)?
13
What is the value of (25/650)/(3/(-6))?
-1/13
Evaluate (2/(-1))/((-75)/((-49725)/(-102))).
13
Calculate ((21 - 16) + (-3)/((-9)/(-11)))*3.
4
What is ((-4)/(-18))/((-4)/96) + (-180)/(-36)?
-1/3
(58/232)/((-22)/48)
-6/11
What is (16/(-272))/(24/(-68))?
1/6
What is (99/(-594))/((-1)/(-3))*12*2?
-12
What is the value of 18 + 0 + -20 - 15/(-21)?
-9/7
What is the value of -13 - (834/(-36) - -10)?
1/6
What is the value of (-24)/96*(15/20 - 82/152)?
-1/19
Calculate (-4)/22 + (-2489)/(-77) + 474/553.
33
What is -1*(11 + -27)/256?
1/16
Evaluate ((-1)/(-2))/(-28 + 837/30).
-5
Calculate (-166180)/(-4620) + 5/165 + 0.
36
Calculate 25/35 + ((222/56)/(-1) - -2).
-5/4
What is -8 + 0 - (-1872)/117?
8
What is (-1836)/189 + (-4)/14?
-10
What is the value of ((-18)/351)/((-14)/1183)?
13/3
Evaluate 2 - (54/15)/((-4)/(-40)*4).
-7
What is the value of (18*(-110)/528)/(3/2)?
-5/2
Calculate (-1020)/(-136) + 1/2.
8
(((-4)/(-8))/((-8)/368))/(2 + -1)
-23
What is (11 + 654/(-60))*(-3 + 15)?
6/5
What is (-40)/(-200) + 83/(-15) - -5?
-1/3
Calculate (3/(-2) - 14/(-8)) + 52/(-104).
-1/4
Calculate 25/(-6) - (-140)/30*14/56.
-3
Evaluate (198/(-77))/((-108)/(-42) + -3).
6
(-8)/48 + (-350)/(-588)
3/7
Calculate (-4)/24 + (-21)/(-1512)*39.
3/8
What is the value of (-37 - -31)/((2/(-4))/((-259)/111))?
-28
Calculate (-27 - 1764/(-72))/((-1)/(-4)).
-10
Calculate 12 - 10*729/630.
3/7
What is the value of (-10)/45 + (-37)/(-1665)?
-1/5
What is 6*-1 + (-19 - (-29632)/1184)?
1/37
What is (((-64)/(-260))/(-8))/(1518/110 + -13)?
-1/26
What is the value of ((-39)/52)/(198/48)*(-1)/2?
1/11
(0 + -3)/(40 + -9 - 9)
-3/22
What is the value of 54/(-1593) - (-1551)/(-1239)?
-9/7
Calculate ((-176)/77)/16*2/(48/(-126)).
3/4
Evaluate (-2555)/3212 + (-30)/66.
-5/4
Calculate -6 + 91/((-3367)/444).
-18
((-21)/(-35))/((-135)/(-1275))
17/3
What is ((-3)/4 + 1)/(882/392)?
1/9
Evaluate 26 - (12 - -10 - 8).
12
Evaluate (-180)/54 - ((-55)/66 + 2/(-4)).
-2
What is the value of -28 - -40 - (-316)/(-26)?
-2/13
What is 4*-6*(-9)/(-54) - -8?
4
13*(-6 + -10 + 17)/(-1*1)
-13
What is 0 - (2/(-30) + 56/240)?
-1/6
What is the value of 88/6*942/1727?
8
What is the value of (-7314)/4081 + 12/33?
-10/7
Calculate (-124)/(-144) + 20/(-180).
3/4
What is 432/(-44) - (105/33 - 3)?
-10
What is (-382 - -389) + 2/2*-2?
5
(-363)/(-24) - (-1)/(-8)
15
Evaluate 43/6149*-26*(-6)/(-4).
-3/11
Evaluate (-528)/220*(-15)/63.
4/7
Evaluate (-54)/21 + 198/(-462).
-3
((-4)/12)/(2 + (-770)/390)
-13
((-360)/(-156))/(51/(-442))
-20
What is the value of (5/4 - 0)*(-972)/4860?
-1/4
Evaluate (52/(-117))/(7/((-5)/((-300)/(-54)))).
2/35
Calculate ((-5600)/84)/40 - 335/(-195).
2/39
What is the value of 19/91 + (18/63)/2*-2?
-1/13
What is the value of (7 - (-2 - -3)) + 1624/(-261)?
-2/9
Calculate ((-12)/18)/(7/((-420)/48)).
5/6
Calculate 66/15*(37/36 + 182/819).
11/2
7/(-4) - 4453/(-1708)
6/7
Calculate -53 + 3360/63 + 4/(24/(-26)).
-4
What is (6/12 - -4)*35/2205?
1/14
(-3 + -65)*21/42*(-1)/(-2)
-17
Calculate (-159)/(-212) + (66/(-8))/(-3).
7/2
Calculate 10/15*-3 - (35 - 11)/8.
-5
What is (165/(-3795))/(1/(-69))?
3
Evaluate (((-8)/(-10))/((-18)/30))/((-1770)/59).
2/45
What is the value of 1/(15 - 496/32)?
-2
What is the value of (1 - ((-455)/21)/(-5))/((-2)/3)?
5
Calculate (7/((-294)/(-24)))/((-1)/(-7)).
4
Evaluate (-266)/(-266) + 3/(-2)*-2 + -2.
2
((-220)/(-33) + -7)/((-5)/1)
1/15
-114*6/(-63) - 11
-1/7
Evaluate ((-132)/(-4))/(39/26).
22
Evaluate -18 - (-1027)/52 - (-62)/(-24).
-5/6
((-676)/(-1014))/(-4 - (114/(-27))/1)
3
(-24)/(-195) + (6336/(-180) - -35)
-1/13
What is the value of (-13 - -1 - (59 - 62)) + 5?
-4
What is the value of (2 + 5)*-1 - (-7 + 2) - -22?
20
Calculate (-864)/(-63) - 546/39.
-2/7
Calculate 4 - 5/5 - (-31 + 33).
1
What is (-3 - -1) + -4 + (-5)/(300/(-369))?
3/20
476/44 + -3 - ((-909)/99 - -9)
8
7/8*(-120)/140
-3/4
(11/(1716/30))/((-10)/8)
-2/13
What is the value of (-8 - 275/(-44))*(-4)/14*2?
1
Evaluate (-5*(-4)/35)/(88/2772).
18
Evaluate ((-100)/50)/(4/(-34)).
17
-24*(3504/(-3285) + (-1)/(-15))
24
13554/675 - (45 + -25)
2/25
Calculate (4851/378)/((-91)/(-156)).
22
What is (-2)/(-6) - ((-14)/3*-1)/26?
2/13
What is (-2)/((-8)/228*-19)?
-3
Evaluate (-1)/(-9) + (24448/(-1008) - -24).
-1/7
What is 7/(-3) + 296/(-444)?
-3
-8 - -3 - 1591/(-301)
2/7
Calculate 1/(-22)*(14 - 2).
-6/11
Evaluate 3/10 + (-1809)/(-270).
7
-63 + 63 + ((-10)/(-30) - (-10)/42)
4/7
Evaluate (-15)/33*(9 + -1 - (-4452)/(-530)).
2/11
Evaluate 207/(-391)*(-1)/24*-8.
-3/17
Calculate -430*4/(-48) - (753/18 + -42).
36
What is 4/17 - 11500/12750?
-2/3
Calculate 20/2 + (28 - (-156876)/(-4131)).
2/81
What is the value of 0 + 172/20 - 18/(-270)*6?
9
(11/(-4))/(3/(-4)) - 1023/341
2/3
What is the value of (-13)/((-117)/84) - (-17 - -27) - -9?
25/3
Calculate (-5739)/9565*(-1 + 23/3).
-4
What is the value of (-28)/20 - (144 + -145 + 38/5)?
-8
What is 38/10 + (-101321)/26840?
1/40
(8/(-6))/(-2*4/(-90))
-15
Evaluate (-25)/((-91000)/1008) - (-1)/(-13)*1.
1/5
Calculate (-103)/(-7) - (-1656 + 1671).
-2/7
What is the value of 2/3 - (5 + 10/6)?
-6
Calculate 2/6 + ((-5012)/168 - -30).
1/2
(-44)/(-234) + (-60)/540
1/13
(0 - -1)/((-1738)/(-110) - 16) - -8
3
What is the value of -11*(-24)/3432 - 31*10/(-26)?
12
Calculate 15/(1260/(-489)) - 3*(-3)/(-21).
-25/4
What is the value of -40 + 192/36*36/16?
-28
Calculate 6 + -57 + 46 + (13 - -1).
9
Evaluate 294/245*(-5)/21.
-2/7
What is the value of (-15)/(-50) + ((-945)/150 - 9)?
-15
What is the value of (-55)/(-11) - (-5 + (-212)/(-20))?
-3/5
What is ((-23)/(20240/(-48)))/(9/30)?
2/11
What is the value of (-1566)/(-2106) + (-4)/52?
2/3
What is (-2 + (-14)/8)*(-2568)/1070?
9
-1175 + 1173 + 26/(-24)*-2
1/6
Calculate 2 + 40/(-4) + (-6878)/(-874).
-3/23
Calculate (-3)/(84/(-5))*(0 + (-4)/(-10)).
1/14
What is (6/(-18)*6/(-15))/(7/(-5))?
-2/21
Calculate (4/10)/((-14)/(-182) + 104/845).
2
Calculate (-1968)/492 + 9/(-6)*-2.
-1
Evaluate (4/8 - (-102)/(-60))/((-48)/(-30)).
-3/4
Evaluate (-1)/(-55)*(367 - 372).
-1/11
What is 12/10*5 + (138/15)/(-2)?
7/5
Evaluate (-22)/(-28) + 287/(-490) + 30/100.
1/2
Calculate ((-4)/(-44))/((-219)/(-2409)).
1
Calculate (-2)/((-2)/17 - (-189)/(-2295)).
10
What is -3 - (-28)/4 - (-100)/(-10)?
-6
What is the value of 8/44*(-1 - 6 - 1) - -2?
6/11
((-12)/(-10))/((-546)/(-10010))
22
Evaluate (128/70 - 749/535)/(3/(-189)).
-27
What is 46/(-920)*(-15)/(-6)?
-1/8
Calculate (-222)/222*(-2)/(-29).
-2/29
What is -27 + (-23681)/(-765) + -4?
-2/45
(-68)/(-102) + (-20)/(-6)
4
What is (357/68)/(-7)*(-35)/21?
5/4
Evaluate 8/(-8 + 24/4).
-4
Calculate 35/21*(-12 + 1408/110).
4/3
(((-28)/1)/(-4))/(-6 - -7)
7
Evaluate 56/280 - 267/(-15).
18
What is ((-5751)/126)/(-9) + 9/(-378)*3?
5
What is the value of 3360/(-2695) - 44/242?
-10/7
(8/16)/(3/(96/2))
8
Calculate (1 + 4)/((-290)/696).
-12
(-21)/14*(-3808)/336
17
What is 167/(-33) + -6*(-25)/(-120)*-4?
-2/33
What is -12 - (2940/(-36))/7?
-1/3
What is (21 - (-1548)/(-60))*3/(18/(-15))?
12
What is ((2 - -1) + 1)/(-10)?
-2/5
Evaluate (-3572)/(-282) + (-16)/6.
10
What is the value of 6/(-51) - (4/26 - 2491/221)?
11
(9/(-21 + 30))/((-1)/(-13))
13
What is -6 + ((-5192)/(-80))/11?
-1/10
Calculate (((-120)/(-750))/(1/(-5)))/((-3)/45).
12
What is (-71)/3 + 5 - 43/129?
-19
What is the value of (120/418 - 4/38)/(4/(-12))?
-6/11
Evaluate (((-568)/355)/(84/30))/(1/1).
-4/7
What is the va | {
"pile_set_name": "DM Mathematics"
} |
i + 12. Let t be (702/a)/(-13)*(1 + 0). Determine g(t).
1
Let x(l) = 2*l - 1. Let j(s) = -s + 1. Let o(h) = -5*j(h) - 6*x(h). Let g be (15/25)/(60/100). Determine o(g).
-6
Let y = -667 - -661. Let z(o) = -o**3 - 3*o**2 + 21*o + 12. Give z(y).
-6
Suppose 5*g + 3*p = 12, -g - 15 = -5*g + 3*p. Suppose -g*o - 2*v = -5*v - 18, -3*v = 2*o - 22. Let f(z) = z**3 - 8*z**2 + 2*z - 4. What is f(o)?
12
Let g(k) = -k**2 + 6*k - 1. Suppose -5*w + w + 68 = 0. Suppose -c - w = b - 4*b, -2*b + 4*c = -8. Let u be ((-1)/b)/((-9)/(-27))*-12. What is g(u)?
-1
Suppose -7*s - 96 = -13*s. Suppose -d + 4 = 0, -31 = 4*q - 5*q - 5*d. Let i(u) = s*u + u**3 - 3*u - 3 + q*u**2 - 4*u. Determine i(-10).
7
Let u = 12433 - 12432. Let x(p) = 37*p**3 + 2*p**2 - 2. What is x(u)?
37
Let x(s) = 60*s**2 + 2*s. Let m = -3526 - -3525. Determine x(m).
58
Let g(r) = -2*r - 1. Let s = -2372 + 2374. Calculate g(s).
-5
Suppose 48 + 23 = -x. Let z be (690/(-45))/(6/27). Let l = x - z. Let a(g) = -2*g + 1. Give a(l).
5
Let l(i) = -74*i + 8 - 23*i**2 - 31*i**3 - 38*i**3 + 68*i**3 + 41. Give l(-19).
11
Let b(g) = -5 - 16 - 1 - 50 + 12*g - 42. What is b(9)?
-6
Let h = 1 + -6. Let p = -311 - -334. Let l(v) = 40 - 56 + p - 3*v - v**2. Give l(h).
-3
Let f(w) = w**3 + 19*w**2 + 25*w + 34. Let n be 22/(418/(-171)) + -9. Determine f(n).
-92
Let r(z) = 2*z**2 - 5*z + 18. Let t = 1495 + -1491. Give r(t).
30
Let d(t) = 2*t - 4. Let c = 472 - 675. Let x = -207 - c. What is d(x)?
-12
Let i(r) = r**3 - r**2 - 23*r - 9. Let c(w) = 4*w**2 + 104*w - 4. Let l be c(-26). Calculate i(l).
3
Let i(o) = 50*o**2 - o. Suppose -418*p = -351*p - 134. Determine i(p).
198
Let n(p) be the first derivative of 128 + 1/4*p**4 + 5*p + 7/3*p**3 + 1/2*p**2. Determine n(-7).
-2
Suppose -c = 3*c - 20. Let p(j) be the third derivative of -j**6/120 + j**5/10 + j**4/12 - j**3/2 - 296*j**2 - 3. Calculate p(c).
32
Suppose 0 = 5*i - 0*i - 30. Let a(k) be the third derivative of -k**6/120 + k**5/12 + 5*k**4/24 + k**3/6 - 1418*k**2. Determine a(i).
-5
Let l(o) = o**2. Let d be 3*(-4)/24*-36. Let g(c) = -8*c**2 - 2*c. Let n(p) = d*l(p) + 2*g(p). Suppose 2*s - 4 = k, -k = 4*s + 3*k - 20. Give n(s).
6
Let v(r) = -47*r**3 - 9*r**2 + r - 17. Let m(c) = -31*c**3 - 8*c**2 + c - 16. Let i(h) = 3*m(h) - 2*v(h). Give i(6).
-8
Let l(t) = -3*t**3 + 18*t**2 + 32*t - 46. Let c(y) = -4*y**3 + 18*y**2 + 41*y - 39. Let i(h) = 4*c(h) - 5*l(h). Calculate i(-18).
2
Let i be (-8)/(1*(-2 + 1)). Let j(a) = -6 - 2*a + 3 + 2 + 12. Calculate j(i).
-5
Let v(z) be the third derivative of -z**5/60 - z**4/3 - z**3/2 - 966*z**2. What is v(-10)?
-23
Let x(s) = 54 + 7*s + 13*s + 6*s - 16*s. What is x(-7)?
-16
Let v(p) = 2*p**2 - 13*p. Let g(t) = -t**2 + 6*t. Let j(q) = q**3 + 8*q**2 + 13*q + 6. Let d be j(-6). Let y = d + -4. Let z(c) = y*v(c) - 9*g(c). Give z(-2).
8
Let b(v) = 6*v. Let m = 287 + -283. Suppose -16*x + m = -12. Calculate b(x).
6
Let x = 7 + -10. Let o(h) = -1854 - 1853 - 9*h + 5571 - 1859 + 10*h. Give o(x).
2
Let k(u) = 5*u - 167 - 22*u + 34*u + 7*u + 17*u. Let v be k(4). Let h(t) be the first derivative of -t**4/4 - 5*t**3/3 - 2*t**2 + 1. What is h(v)?
-6
Let m(o) = -o**3 - 4*o**2 + 7*o - 23. Suppose -2*g + 3*z = 12, 5*g = -17*z + 20*z - 30. What is m(g)?
7
Let r(q) = -871*q + 1 - 10 - q**2 - 1 + 849*q. Calculate r(-20).
30
Let b(t) = -126*t + 30*t + 33*t - 12*t + 387 + 8*t. Determine b(6).
-15
Suppose 0*h = 3*h - 2*l + 2, -63 = -3*h + 15*l. Let p(t) = -2*t**3 - 7*t**2 - 12. Calculate p(h).
4
Let t(h) = h**3 - 17*h**2 + 17*h - 15. Let y(c) = -55 + 4*c**3 - c + 61 - 2*c**3 - 3*c**3 + 10*c**2 + 2*c**3. Let f be y(-10). What is t(f)?
1
Let d(g) = 7*g**2 + g**3 + 16*g - 55*g + 11*g + 6 + 0*g**2. Give d(-10).
-14
Suppose 17 + 10 = 3*m. Let i(t) = 18*t**2 + 2*t - 8 + m*t**2 + 7 - 26*t**2. Determine i(-3).
2
Let y(i) = i**3 + i**2 + 9. Let g(s) = 31*s**2 + 3*s + 3. Let v(c) = -c**2 + c + 1. Let f(o) = g(o) - 4*v(o). Let u be f(-1). Let b = -35 + u. What is y(b)?
9
Let w(u) = -2*u + 13. Suppose 2*n - 3*c = -2*c + 146, 2*n - 152 = 4*c. Suppose -16*m + 72 + n = 0. Determine w(m).
-5
Let o(w) = -w**2 - 24*w - 74. Let z = 5334 - 5354. Calculate o(z).
6
Let s(b) = b**3 + 11*b**2 + 11*b + 5. Let r = -42 + -8. Let d be (-4)/20 + 5/(r/98). Let v be s(d). Let a(z) = z**2 + 2*z + 7. Calculate a(v).
22
Suppose -r + 5 = 7*o, 0*o + 15 = 3*o + 3*r. Let u(x) be the third derivative of 1/4*x**4 + 1/60*x**5 + 0 + o*x + 1/2*x**3 - 14*x**2. Calculate u(-5).
-2
Let h be 2*-248 + (3 - 23)/4. Let f = h + 493. Let y(s) = 4 + 7*s - 3 + s**2 + 0*s. Calculate y(f).
9
Let f(u) = 2*u**2 - 3. Suppose -i + 3 = 0, 5*i - 105 = 3*r + 27. Let q be (-156)/r - (0 - -2). What is f(q)?
5
Suppose 5*w = -5, -4*q + 18 - 1 = -5*w. Let d(s) = -s**2 + 2*s - 3. Let n(x) = -6*x**2 + 13*x - 19. Let b(c) = -5*d(c) + n(c). What is b(q)?
-4
Let k(x) = x**3 + 5*x**2 - 2. Suppose -8*p + 54 = 22. Let y be 8/(-12)*6 - (p - 3). Determine k(y).
-2
Let q(z) = -5*z - 231. Let h be 756/(-1386) + 1022/(-22). What is q(h)?
4
Let j(f) = 6*f**2 - 103*f. Let q(k) = 18*k**2 - 275*k + 1. Let u(n) = 8*j(n) - 3*q(n). Determine u(-4).
-103
Suppose -95 = -75*d + 55. Let j(v) = -27*v. Calculate j(d).
-54
Let j(w) be the first derivative of -28 - 1/4*w**4 + 1/2*w**2 - 30*w + 0*w**3. Give j(0).
-30
Let m = 586 - 545. Suppose 0 = -5*i - s - 26 + m, -3*i = s - 7. Let j(h) = -h**3 + 5*h**2 - 3*h + 2. Determine j(i).
6
Let z(u) = 2*u**3 + 28*u**2 + 56*u - 26. Let q(p) = -3*p**3 - 42*p**2 - 83*p + 40. Let k(n) = -5*q(n) - 8*z(n). What is k(-11)?
8
Let u(r) = 2 + 52*r + 2*r**2 + r**2 + r**3 - 51*r - 2*r**3. Let s(z) = z + 13. Let c be s(16). Suppose -p - c = -32. Determine u(p).
5
Let p(f) = -f**3 + 9*f**2 - 15*f + 14. Let i = -3832 - -3839. Determine p(i).
7
Let v(w) be the first derivative of w**2/2 - 7*w + 683. Let q be (-66)/14 + (-4)/14. Let r = 1 - q. What is v(r)?
-1
Suppose 26 = 41*t - 15. Let v(m) = -5*m**3 + 2*m**2 + 2*m - 3. Determine v(t).
-4
Let s(a) = a**2 - 28*a + 28. Suppose -f - 2*n + 3 + 13 = 0, 4*f - 3*n = 119. What is s(f)?
-24
Let p(t) = -124*t**3 + 18*t**2 + 7*t + 17. Let x(h) = -41*h**3 + 5*h**2 + 2*h + 5. Let k(f) = -2*p(f) + 7*x(f). Calculate k(1).
-39
Suppose -4*h + 47283 = -449. Let v(f) = -f**2 + 2 + f**3 - 11931*f + h*f - 3. Calculate v(2).
7
Let b(u) be the third derivative of 4/3*u**3 + 0*u - 13/24*u**4 - 32 + u**2 + 1/60*u**5. Give b(12).
-4
Let u = 46 + -36. Let l be (-18)/12 + 35/u + -5. Let d(n) = -n**3 - 2*n**2 + 4*n + 2. Calculate d(l).
-1
Let c(p) = p**3 + p**2 + 4. Let v = 46 + -62. Let j(l) = -2*l + 29. Let f(q) = q - 29. Let b(d) = -4*f(d) - 3*j(d). Let g be b(v). Give c(g).
-14
Let a(j) = j - 1. Let x(l) = -36*l + 441. Let v(q) = -5*q + 59. Let o(r) = -30*v(r) + 4*x(r). Suppose 3*w = 6 - 21. Let d(c) = w*a(c) + o(c). What is d(0)?
-1
Let m(r) be the third derivative of 0*r + 147*r**2 - 1/2*r**3 + 11/60*r**5 + 1/120*r**6 - 13/24*r**4 + 0. What is m(-12)?
9
Let y(s) = -2*s**2 - 13*s - 2. Let o(f) be the third derivative of -f**5/30 - 3*f**4/8 - f**3/6 + 2*f**2 + 126. Let d(q) = 4*o(q) - 3*y(q). What is d(4)?
-18
Let b(d) = d**2 - 30*d + 5. Suppose 4*s - 125 = 5*h, -12*h = 2*s - 17*h - 65. Give b(s).
5
Suppose -4*b + 7 = -33. Let r(l) be the first derivative of -1/2*l**2 + 13*l + 159. Calculate r(b).
3
Suppose 0 = -0*r + 3*r + 12. Let s(l) = l**2 + 12*l - 62. Let q be s(4). Let u(c) = 335*c**2 - 671*c**q + 341*c**2 + 6*c + c**3. What is u(r)?
-8
Let c(o) be the first derivative of 31*o**2/2 - 315*o + 8235. Give c(10).
-5
Let x(m) = m**3 - 16*m**2 + 6*m + 7. Let k be x(5). Let n = k + 240. Let u(c) = -6*c**2 - c**3 + 3*c**2 - c**2 + 3*c**2 + 2. What is u(n)?
-10
Let z(a) = a**3 + 4*a**2 + 11*a + 18. Let n(p) = 4*p**3 + 9*p**2 + 34*p + 58. Let b(c) = -2*n(c) + 7*z(c). Determine b(11).
-12
Let s(f) = f + 1. Let b(i) = -2*i**2 - 48*i + 219. Let n be b(-28). Determine s(n).
-4
Let n(k) = -23*k + 1208*k**2 - 37 - 2433*k**2 - 4 + 1224*k**2. Determine n(-21).
1
Let u(q) = 2*q - 1. Let b(a) = -5*a**2 - 26*a + 8. Let l(i) = 4*i**2 + 25*i - 10. Let j(n) = -5*b(n) - 6*l(n). Let v(r) = -j(r) - 2*u(r). Calculate v(15).
-3
Suppose -6 = g, 3*p + 11 - 5 = -3*g. Let r(b) = b**3 - 3*b**2 + 10*b + 9. Determine r(p).
65
Let v(b) = 9*b**2 - b - 1. Let m be v(-1). Let u be 2/6 - (-235)/15. Let o(n) = -u + m - n - 1. W | {
"pile_set_name": "DM Mathematics"
} |
25
Calculate the highest common divisor of 344 and 301.
43
What is the highest common divisor of 4707 and 117?
9
What is the highest common divisor of 946 and 154?
22
What is the greatest common divisor of 155 and 31?
31
What is the greatest common factor of 42 and 609?
21
Calculate the highest common divisor of 3139 and 73.
73
What is the highest common factor of 6 and 142?
2
Calculate the highest common divisor of 4186 and 92.
46
Calculate the highest common factor of 5124 and 21.
21
What is the highest common divisor of 1809 and 27?
27
Calculate the highest common factor of 11 and 1980.
11
What is the highest common factor of 8 and 344?
8
What is the greatest common factor of 1250 and 200?
50
Calculate the highest common divisor of 1113 and 57.
3
Calculate the highest common factor of 68353 and 29.
29
Calculate the highest common divisor of 570 and 90.
30
Calculate the greatest common factor of 65 and 52.
13
Calculate the highest common factor of 119782 and 17.
17
Calculate the highest common divisor of 86 and 43.
43
Calculate the greatest common divisor of 35 and 250.
5
What is the highest common factor of 30058 and 226?
226
What is the greatest common divisor of 5952 and 279?
93
What is the highest common factor of 43 and 129?
43
What is the highest common factor of 18 and 114?
6
What is the greatest common factor of 6888 and 8?
8
What is the greatest common factor of 2043 and 9?
9
What is the greatest common divisor of 42 and 462?
42
Calculate the greatest common divisor of 330 and 60.
30
What is the greatest common divisor of 63 and 39?
3
What is the highest common factor of 372 and 12772?
124
What is the highest common factor of 26 and 4303?
13
What is the greatest common divisor of 105 and 4215?
15
Calculate the highest common factor of 1508 and 130.
26
Calculate the highest common divisor of 13051 and 31.
31
Calculate the greatest common factor of 425 and 17.
17
Calculate the greatest common factor of 35 and 1043.
7
What is the highest common divisor of 32 and 248?
8
Calculate the highest common factor of 4 and 4.
4
Calculate the greatest common divisor of 24 and 3.
3
What is the greatest common divisor of 63 and 36?
9
Calculate the greatest common factor of 100 and 25.
25
Calculate the greatest common factor of 5 and 215.
5
Calculate the greatest common factor of 675 and 600.
75
Calculate the greatest common divisor of 634 and 42161.
317
Calculate the highest common factor of 24 and 160.
8
Calculate the greatest common divisor of 83 and 9.
1
What is the highest common factor of 12 and 12384?
12
What is the highest common divisor of 9 and 723?
3
Calculate the greatest common divisor of 62 and 8.
2
Calculate the highest common divisor of 26 and 1066.
26
Calculate the highest common factor of 35 and 35.
35
What is the highest common divisor of 162 and 5913?
81
What is the greatest common divisor of 79739 and 121?
121
What is the greatest common divisor of 86 and 6106?
86
What is the highest common factor of 168 and 357?
21
What is the greatest common divisor of 3155 and 40?
5
What is the greatest common factor of 9 and 8?
1
What is the greatest common divisor of 3655 and 170?
85
Calculate the greatest common factor of 3860 and 20.
20
Calculate the greatest common factor of 1552 and 291.
97
What is the greatest common divisor of 392 and 40?
8
Calculate the greatest common divisor of 3483 and 3.
3
Calculate the greatest common divisor of 7 and 3087.
7
Calculate the highest common divisor of 2450 and 50.
50
What is the greatest common divisor of 8991 and 37?
37
What is the highest common divisor of 1273 and 57?
19
Calculate the greatest common factor of 292 and 36.
4
Calculate the highest common divisor of 72 and 192.
24
Calculate the highest common divisor of 325 and 13.
13
Calculate the greatest common divisor of 4260 and 120.
60
What is the highest common factor of 113 and 1243?
113
Calculate the greatest common factor of 1255 and 6777.
251
What is the highest common factor of 304 and 20368?
304
Calculate the highest common factor of 6 and 1224.
6
What is the highest common divisor of 1155 and 140?
35
What is the greatest common divisor of 721 and 1751?
103
Calculate the greatest common factor of 972 and 96.
12
Calculate the greatest common divisor of 25 and 1.
1
Calculate the highest common divisor of 1748 and 184.
92
What is the greatest common divisor of 20 and 37780?
20
What is the greatest common factor of 126 and 434?
14
Calculate the greatest common factor of 552 and 18.
6
Calculate the highest common factor of 880 and 330.
110
Calculate the greatest common divisor of 110 and 902.
22
What is the highest common divisor of 476 and 29750?
238
What is the greatest common factor of 200 and 3075?
25
Calculate the greatest common divisor of 1032 and 430.
86
What is the highest common factor of 236 and 17818?
118
Calculate the highest common divisor of 222 and 962.
74
What is the highest common factor of 240 and 16?
16
Calculate the highest common factor of 100 and 140.
20
Calculate the greatest common factor of 80 and 64.
16
What is the highest common factor of 79 and 1343?
79
What is the greatest common divisor of 198 and 36?
18
Calculate the highest common divisor of 81 and 1377.
81
Calculate the highest common divisor of 39 and 403.
13
Calculate the highest common divisor of 22 and 374.
22
What is the highest common divisor of 3210 and 330?
30
What is the highest common divisor of 13 and 24037?
13
Calculate the highest common divisor of 400 and 2192.
16
What is the greatest common factor of 72 and 2358?
18
Calculate the highest common factor of 11776 and 46.
46
Calculate the highest common divisor of 10 and 1.
1
Calculate the highest common factor of 108 and 4.
4
Calculate the greatest common divisor of 100 and 12100.
100
What is the highest common factor of 12551 and 11?
11
Calculate the greatest common factor of 1377 and 243.
81
Calculate the highest common factor of 1586 and 26.
26
Calculate the highest common divisor of 7 and 49.
7
What is the highest common factor of 76 and 1588?
4
What is the greatest common factor of 1672 and 1232?
88
Calculate the highest common divisor of 19 and 190.
19
What is the greatest common divisor of 118 and 51094?
118
Calculate the highest common divisor of 511 and 14.
7
What is the greatest common divisor of 2288 and 143?
143
Calculate the highest common divisor of 988 and 228.
76
What is the highest common factor of 147 and 189?
21
Calculate the greatest common divisor of 13 and 637.
13
Calculate the highest common factor of 110 and 66.
22
Calculate the greatest common divisor of 644 and 4025.
161
What is the greatest common factor of 10409 and 35?
7
What is the greatest common factor of 55 and 3025?
55
What is the highest common divisor of 736 and 23?
23
What is the greatest common divisor of 96 and 372?
12
Calculate the greatest common divisor of 10 and 10050.
10
Calculate the highest common factor of 49 and 784.
49
Calculate the greatest common divisor of 91 and 481.
13
Calculate the greatest common divisor of 55 and 5445.
55
What is the highest common factor of 21 and 96?
3
What is the highest common factor of 5 and 730?
5
Calculate the greatest common factor of 936 and 72.
72
What is the greatest common divisor of 268 and 4?
4
Calculate the highest common factor of 28 and 20.
4
Calculate the highest common factor of 432 and 108.
108
Calculate the highest common divisor of 30 and 13290.
30
Calculate the greatest common factor of 57 and 3515.
19
What is the highest common divisor of 225 and 100?
25
What is the greatest common divisor of 11 and 7?
1
What is the greatest common factor of 8604 and 612?
36
Calculate the highest common divisor of 59 and 118.
59
What is the highest common factor of 72 and 6624?
72
What is the highest common factor of 407 and 22?
11
What is the highest common factor of 166 and 8383?
83
Calculate the greatest common divisor of 30 and 570.
30
Calculate the greatest common factor of 5 and 13355.
5
Calculate the greatest common factor of 370 and 74.
74
What is the highest common divisor of 21 and 399?
21
Calculate the highest common factor of 56 and 1624.
56
Calculate the greatest common divisor of 400 and 88.
8
Calculate the highest common divisor of 180 and 72.
36 | {
"pile_set_name": "DM Mathematics"
} |
024?
0
What is the thousands digit of 7850?
7
What is the units digit of 3905?
5
What is the tens digit of 619?
1
What is the hundreds digit of 1299?
2
What is the hundreds digit of 10440?
4
What is the hundreds digit of 7835?
8
What is the tens digit of 4468?
6
What is the units digit of 119345?
5
What is the hundred thousands digit of 130624?
1
What is the thousands digit of 22215?
2
What is the thousands digit of 1379?
1
What is the hundreds digit of 15148?
1
What is the tens digit of 719?
1
What is the thousands digit of 94843?
4
What is the tens digit of 600?
0
What is the units digit of 4564?
4
What is the hundreds digit of 5320?
3
What is the thousands digit of 2732?
2
What is the units digit of 4065?
5
What is the tens digit of 15139?
3
What is the units digit of 10217?
7
What is the hundreds digit of 37226?
2
What is the thousands digit of 17376?
7
What is the tens digit of 12980?
8
What is the units digit of 9420?
0
What is the hundreds digit of 16106?
1
What is the thousands digit of 4986?
4
What is the tens digit of 23800?
0
What is the tens digit of 1586?
8
What is the tens digit of 276?
7
What is the tens digit of 1086?
8
What is the thousands digit of 3170?
3
What is the hundreds digit of 6144?
1
What is the hundreds digit of 36078?
0
What is the units digit of 2446?
6
What is the hundreds digit of 297?
2
What is the thousands digit of 5879?
5
What is the thousands digit of 2125?
2
What is the hundreds digit of 523?
5
What is the units digit of 3747?
7
What is the thousands digit of 15506?
5
What is the units digit of 157249?
9
What is the tens digit of 1575?
7
What is the thousands digit of 29268?
9
What is the hundreds digit of 70462?
4
What is the thousands digit of 5025?
5
What is the ten thousands digit of 153588?
5
What is the tens digit of 27006?
0
What is the hundreds digit of 176?
1
What is the hundreds digit of 16167?
1
What is the tens digit of 5615?
1
What is the tens digit of 28798?
9
What is the units digit of 1795?
5
What is the units digit of 1035?
5
What is the hundreds digit of 499?
4
What is the tens digit of 3384?
8
What is the thousands digit of 14449?
4
What is the hundreds digit of 10147?
1
What is the tens digit of 29494?
9
What is the ten thousands digit of 35343?
3
What is the tens digit of 56764?
6
What is the thousands digit of 18544?
8
What is the hundreds digit of 945?
9
What is the tens digit of 46657?
5
What is the tens digit of 891?
9
What is the tens digit of 12706?
0
What is the hundreds digit of 1827?
8
What is the tens digit of 820?
2
What is the thousands digit of 1793?
1
What is the units digit of 433?
3
What is the units digit of 7018?
8
What is the tens digit of 392?
9
What is the units digit of 27402?
2
What is the thousands digit of 6499?
6
What is the tens digit of 12?
1
What is the hundreds digit of 2364?
3
What is the tens digit of 99714?
1
What is the tens digit of 72109?
0
What is the units digit of 161?
1
What is the units digit of 5463?
3
What is the tens digit of 548?
4
What is the tens digit of 2950?
5
What is the hundreds digit of 13151?
1
What is the hundreds digit of 1668?
6
What is the units digit of 2548?
8
What is the ten thousands digit of 14632?
1
What is the tens digit of 11317?
1
What is the units digit of 98883?
3
What is the hundreds digit of 85070?
0
What is the thousands digit of 1793?
1
What is the hundreds digit of 3714?
7
What is the hundreds digit of 5177?
1
What is the tens digit of 1906?
0
What is the hundreds digit of 12969?
9
What is the hundreds digit of 16100?
1
What is the units digit of 11968?
8
What is the thousands digit of 69193?
9
What is the tens digit of 174258?
5
What is the thousands digit of 15647?
5
What is the thousands digit of 84911?
4
What is the tens digit of 1315?
1
What is the units digit of 5230?
0
What is the thousands digit of 13986?
3
What is the units digit of 239?
9
What is the tens digit of 999?
9
What is the tens digit of 3659?
5
What is the ten thousands digit of 14981?
1
What is the hundreds digit of 18632?
6
What is the thousands digit of 20884?
0
What is the hundreds digit of 7303?
3
What is the hundreds digit of 3912?
9
What is the thousands digit of 3084?
3
What is the ten thousands digit of 82386?
8
What is the units digit of 31659?
9
What is the thousands digit of 1004?
1
What is the tens digit of 3543?
4
What is the units digit of 1232?
2
What is the hundreds digit of 3192?
1
What is the thousands digit of 8927?
8
What is the thousands digit of 1195?
1
What is the units digit of 4879?
9
What is the thousands digit of 23945?
3
What is the units digit of 712?
2
What is the thousands digit of 16701?
6
What is the thousands digit of 1276?
1
What is the hundreds digit of 1204?
2
What is the ten thousands digit of 15013?
1
What is the hundreds digit of 68962?
9
What is the tens digit of 5422?
2
What is the hundreds digit of 1415?
4
What is the tens digit of 726?
2
What is the hundreds digit of 1506?
5
What is the hundreds digit of 4598?
5
What is the thousands digit of 6030?
6
What is the units digit of 2634?
4
What is the hundreds digit of 1042?
0
What is the tens digit of 177961?
6
What is the thousands digit of 17401?
7
What is the tens digit of 1020?
2
What is the hundreds digit of 6554?
5
What is the units digit of 51657?
7
What is the hundreds digit of 4036?
0
What is the tens digit of 7105?
0
What is the units digit of 3786?
6
What is the hundreds digit of 19325?
3
What is the hundreds digit of 34078?
0
What is the thousands digit of 135176?
5
What is the tens digit of 3508?
0
What is the tens digit of 1497?
9
What is the hundreds digit of 5776?
7
What is the tens digit of 39923?
2
What is the hundreds digit of 1304?
3
What is the hundreds digit of 92129?
1
What is the tens digit of 2807?
0
What is the hundreds digit of 42091?
0
What is the hundreds digit of 1694?
6
What is the units digit of 69366?
6
What is the tens digit of 945?
4
What is the units digit of 945?
5
What is the ten thousands digit of 126696?
2
What is the hundreds digit of 75281?
2
What is the hundreds digit of 1022?
0
What is the tens digit of 2188?
8
What is the hundreds digit of 3614?
6
What is the hundreds digit of 8649?
6
What is the tens digit of 1171?
7
What is the thousands digit of 29995?
9
What is the units digit of 320?
0
What is the ten thousands digit of 85736?
8
What is the units digit of 470?
0
What is the tens digit of 6281?
8
What is the ten thousands digit of 25808?
2
What is the tens digit of 3569?
6
What is the units digit of 1345?
5
What is the hundreds digit of 18643?
6
What is the thousands digit of 3193?
3
What is the tens digit of 1032?
3
What is the tens digit of 413?
1
What is the thousands digit of 4486?
4
What is the hundreds digit of 1517?
5
What is the tens digit of 2783?
8
What is the hundreds digit of 446?
4
What is the hundreds digit of 25442?
4
What is the ten thousands digit of 12710?
1
What is the units digit of 545?
5
What is the ten thousands digit of 53226?
5
What is the tens digit of 81979?
7
What is the thousands digit of 14750?
4
What is the hundreds digit of 167?
1
What is the thousands digit of 1547?
1
What is the units digit of 12190?
0
What is the thousands digit of 1561?
1
What is the thousands digit of 5247?
5
What is the tens digit of 1514?
1
What is the units digit of 3734?
4
What is the hundreds digit of 37520?
5
What is the ten thousands digit of 11031?
1
What is the tens digit of 9152?
5
What is the units digit of 5202?
2
What is the hundreds digit of 7406?
4
What is the tens digit of 37814?
1
What is the hundreds digit of 3018?
0
What is the hundreds digit of 66361?
3
What is the hundreds digit of 15175?
1
What is the tens digit of 3352?
5
What is the units digit of 585?
5
What is the tens digit of 166765?
6
What is the hundreds digit of 647?
6
What is the units digit of 35033?
3
What is the thousands digit of 3431?
3
What is the thousands digit of 46290?
6
What is the tens digit of 117?
1
What is the hundreds digit of 93987?
9
What is the tens digit of 13579?
7
What is the hundreds digit of 1847?
8
What is the units digit of 1337?
7
What is the hundreds digit of 29830?
8
What is the units digit of 2015?
5
What is the thousands digit of 17616?
7
What is the tens digit of 39669?
6
What is the | {
"pile_set_name": "DM Mathematics"
} |
*d - 21*d + 5*d) as s + z*d**2 + j*d + p*d**3 and give p.
-27
Express 2*a + 14*a - a + (5 - 4 + 0 + (0 + 0 + 2)*(4 - 1 - 1))*(2*a - 3*a + 3*a) as c + m*a and give m.
25
Express 3*w - 1 - 23*w + 1 in the form t*w + c and give c.
0
Rearrange v + 2*v**3 - v + (-13*v - 7 + 7)*(-2*v**2 + 4*v**2 - 4*v**2) to the form o*v**2 + a*v + t*v**3 + j and give t.
28
Express 169*i + 3*i**4 - 3*i**2 + i**2 - 167*i as g*i**2 + s*i**4 + f*i + j + u*i**3 and give s.
3
Rearrange 3 - k**4 - 3*k**2 + 4*k**3 + 2*k**3 - 8*k**3 to s*k**3 + o*k**2 + v*k + t*k**4 + z and give z.
3
Rearrange -8*o - 3*o + 9*o - 16 to g*o + s and give g.
-2
Rearrange -5*f**2 - 3*f - 1 + 3*f + 4*f**2 - f to the form x*f + y + z*f**2 and give x.
-1
Express (-21 + 21 + 6*f**2)*(2*f + 50 - 50) as d*f**2 + q + n*f**3 + g*f and give n.
12
Rearrange -39*o**3 + o**2 - 33*o**3 - 35*o**3 + 3 + 108*o**3 to f*o**2 + c*o**3 + k*o + n and give f.
1
Express 2*q**2 - 4*q**2 + 4*q**2 - 5 - q + 3*q**2 + q + (q + 2*q - q)*(4*q - 2*q - 3*q) as m*q**2 + p + x*q and give m.
3
Express 2*z + 2*z**4 + 3*z**3 - 5*z**3 + 5*z**3 + 5 - 4*z**3 in the form p + h*z + v*z**2 + a*z**3 + w*z**4 and give a.
-1
Rearrange (2*x**2 - 14*x**2 - x**2)*(-2 - 4 + 3)*(2*x - 4*x + 3*x) to the form d*x**3 + z + l*x**2 + u*x and give d.
39
Express (-5*o + 5*o + 5*o**2)*(0*o + 4*o - o)*(o + 0*o - 2*o) as v + m*o**2 + y*o + g*o**4 + h*o**3 and give g.
-15
Express -7*y + 0*y + 5*y**2 + 5*y in the form j*y + i*y**2 + n and give i.
5
Express (c + 10 - 3*c - 5 - 3*c**2)*(2 - 2 + 2*c**2) in the form n*c**2 + f*c + h*c**4 + x + k*c**3 and give f.
0
Rearrange 5*d - 6*d + 23*d to the form g + a*d and give a.
22
Rearrange 7*g**2 - 5 - 6*g**2 + 4 to the form o*g + u + a*g**2 and give u.
-1
Express d**2 + d**2 + 0 - 2 + (d + 2*d - d)*(-d + 0*d - d) - 2*d**2 - 3*d**2 + 6*d**2 - 2 - 8*d**2 + 2 as a*d**2 + k + y*d and give k.
-2
Express (5*z - 3*z + 0*z)*(2*z**2 - 137*z + 138*z + 3*z**2 + (-3*z + 5*z - z)*(3*z - 3*z + 2*z) + z**2 + 2 - 2) as p + a*z**2 + w*z**3 + u*z and give a.
2
Express -f**3 + f**4 - 2 - 2*f**3 - 6*f + 9*f as n + d*f**4 + a*f**3 + t*f + u*f**2 and give a.
-3
Express -34 + 15*g + 34 in the form q + s*g and give s.
15
Express 26 - 2*a**3 - 29 - 2*a**2 + 3*a**2 + a**2 as g + p*a**2 + y*a + d*a**3 and give d.
-2
Express (-2*p**4 - 3*p**4 + 3*p**4)*(-94 + 2 - 70) as k*p**4 + t*p + u*p**2 + j + n*p**3 and give k.
324
Rearrange (-14 + 35*g - 51*g + 13)*(4 - 4 - 2*g) to j*g + c + n*g**2 and give n.
32
Express -4*f + 5*f + 0*f as u*f + x and give u.
1
Express 0 - 2 - 34*r**2 + 25*r**2 - 36*r**2 in the form c*r + w*r**2 + i and give w.
-45
Rearrange -50*p - 35*p - 230 + 230 to the form q + j*p and give j.
-85
Rearrange 58*h - 7 + 51*h - 114*h to t + u*h and give u.
-5
Rearrange ((2 - 3 + 0)*(-2 + 3 + 1) + 10 - 11 - 11 - 2 + 5 - 4)*(0 + 3*b - 2*b - 1) to m*b + r and give r.
15
Rearrange (2*s**3 - 3*s**2 + 3*s**2)*(-24*s + 17*s - 14*s) to the form p*s**3 + f + r*s**4 + l*s**2 + u*s and give r.
-42
Rearrange 0*z**4 - z**4 - 2*z**2 + 3*z**4 + z**3 + 2*z - z**2 to o*z**3 + r + l*z + b*z**2 + u*z**4 and give b.
-3
Rearrange 4*t**2 + 14*t**3 - 2*t**4 - 13*t**3 + 2 - 3*t**4 + 3*t**4 + 2*t to x*t**2 + i*t**3 + n*t + u + d*t**4 and give u.
2
Express 2 - 2 - 2*a + (-31*a + 24 - 24)*(-3 + 1 + 3) + 0 + 2*a + 0 in the form m + p*a and give p.
-31
Express -5*f + 16*f**2 - 2*f**2 - 5*f**2 - 2 - 7*f**2 as w*f + p + q*f**2 and give p.
-2
Rearrange 2*o**2 + 3*o**2 - 3*o**2 + (2 - o - 2)*(-o - 10 + 10) to z + s*o + x*o**2 and give x.
3
Express -5*o**3 + 0*o**2 + 6*o**3 + 0*o**3 + 6*o**2 in the form t*o**3 + g + f*o**2 + k*o and give t.
1
Rearrange -3 + 5 - 7 + v**2 to r*v**2 + h + n*v and give h.
-5
Rearrange (-2*i**2 - i**2 + i**2)*(4 + 12 - 6) to the form w + j*i**2 + s*i and give j.
-20
Rearrange (2 - 4*t - 2)*(-t**2 + t**2 - 2*t**2 + (-2 - 4 + 2)*(2*t**2 - 3 + 3)) to the form u*t + f + n*t**2 + o*t**3 and give o.
40
Express -q**3 + q + 0 + 0*q**3 - 2*q**3 + 2 as j*q**2 + d + y*q + s*q**3 and give y.
1
Express (-3*l**4 - 3*l**2 - 1 + 3*l**2)*(1 + 1 + 3) in the form r + t*l + o*l**2 + v*l**3 + a*l**4 and give a.
-15
Rearrange 4*o**3 - 105*o**2 + 103*o**2 - 32*o**3 to the form f*o + k*o**2 + b + p*o**3 and give k.
-2
Express (0 + 2 - 1 + (3 - 3 - 1)*(4 + 1 - 3) - 2 + 1 + 0 + (-2 - 3 + 0)*(1 - 2 + 2))*(2*u - u - 3*u) as a*u + o and give a.
14
Rearrange 5*k + 0*k + 3*k - 10*k to the form i + q*k and give q.
-2
Rearrange -2*b**2 - 306*b + 306*b - 15 to p*b + q*b**2 + z and give q.
-2
Rearrange (-m**2 + m**2 + 2*m**2)*(-2*m - 1 + 1) + (-1 + 2*m**3 + 1)*(2 - 2 - 3) to the form o*m + g + u*m**3 + a*m**2 and give a.
0
Rearrange -3*b**4 - 2*b**2 - 4*b**3 + 3*b**2 + 5*b**4 - 56*b + 45*b to the form v + l*b**2 + i*b**4 + y*b + x*b**3 and give i.
2
Rearrange 0*z**3 + z**3 + 1 - 2*z**3 + 4*z**2 to d*z + i*z**2 + g + q*z**3 and give g.
1
Rearrange -14*l + 14*l + 27*l**2 to r*l + o*l**2 + z and give o.
27
Rearrange (2*o**2 - o - o**2 + 6*o)*(2 - 2 - 2) to u*o + r*o**2 + l and give u.
-10
Express 955 - 955 - 45*g as c + d*g and give d.
-45
Express (-6 + 3 - 1)*(3*a - 5*a + 0*a) + (4*a - 2*a + 0*a)*(-2 + 3 - 2)*(-5 + 0 + 2) as j*a + y and give j.
14
Express (1 - 1 + 2*g + (2*g + g - g)*(3 - 4 + 0) + 2 - 2 - 2*g)*(-7*g**2 + 14*g - 14*g) in the form y*g**3 + l + m*g + c*g**2 and give y.
14
Express (4*l**2 + 8*l - 8*l)*(-1 + 2 - 5)*(0 + 3 - 2) in the form c + x*l**2 + j*l and give x.
-16
Express 9*a - 17*a - 2*a as m*a + s and give m.
-10
Rearrange 3*t - t + t + (-2 + 3 + 2)*(-1 + t + 1) - t + 5*t - 2*t + (2 + 0 - 1)*(0*t - 4*t + 5*t) - t + 2*t + 0*t + 2*t - 2*t - t to d*t + q and give d.
9
Express -2*k**3 - 4*k - k + 2 - 2*k as s + w*k + r*k**2 + b*k**3 and give w.
-7
Rearrange 2*x**2 + 14 + 2*x + x**3 - 15 + 2*x to t*x**2 + d + s*x**3 + b*x and give b.
4
Express (-4*f - f + 6*f)*(-1 + 6 - 2)*(-1 - 4 + 3)*(0 + 2 - 5) in the form w*f + y and give w.
18
Rearrange -5 + 2 + n**2 + 4 - 4 to the form w + g*n + u*n**2 and give u.
1
Rearrange 314*o**2 - 5 + o - 317*o**2 - 2*o to q*o**2 + i + j*o and give j.
-1
Express 4*n**4 - 1 + 12*n - 10*n + 3*n**4 as p*n**3 + s*n**4 + h*n + g + r*n**2 and give h.
2
Express -f**4 + 2 - 11*f + 0*f**3 + 6*f - 2*f**3 as t*f**2 + y*f**4 + i*f**3 + l*f + x and give y.
-1
Rearrange 3*o**3 - 6*o**3 - o**4 + 9*o**2 - 4*o**2 to the form y*o + w*o**4 + t*o**2 + g*o**3 + x and give g.
-3
Rearrange (1 + 3 - 6)*(-6*m**3 + 2*m**3 + 2*m**3) - 2*m**3 + m**3 - 2*m**3 to b*m + l*m**2 + g + p*m**3 and give p.
1
Rearrange (2 + 0 - 4 + 2 - 3 + 0 + (4 - 4 - 1)*(-3 - 3 + 4) + 4 + 0 - 6 + 1 + 0 + 0 - 55 + 17 + 16)*(-1 - 2*w + 1) to the form q*w + b and give q.
48
Rearrange 17*m**3 - 45*m**3 + 15*m**4 - 4*m**2 + 26*m**3 to the form i + y*m + l*m**4 + x*m**3 + j*m**2 and give x.
-2
Express -2*c + 2*c - c in the form n*c + o and give n.
-1
Express -2*l**4 - 3*l + 3*l + (6*l**2 + 64*l + 1 - 64*l)*(-l - 2*l**2 + l**2 + 2*l) in the form v + c*l**3 + r*l**4 + s*l**2 + u*l and give s.
-1
Express (2 - 2 - l)*(3 - 5 + 1) + (3*l - 2 + 2)*(2 + 1 - 2) as k + b*l and give k.
0
Rearrange 22*t - 5*t + 6*t + 48*t + t + 1 - 1 - t - t + 0*t + (1 - 4 + 1)*(-2*t + t - t) + 0*t + t + t to the form k + x*t and give x.
76
Rearrange -2*v**4 - v**2 + 4*v**3 - 3 - 5*v**3 + 3*v**4 + 0*v - v to i*v**4 + f*v + t*v**2 + l + d*v**3 and give i.
1
Express 6 - 11 + 2*o**2 + 0 as z + k*o**2 + g*o and give k.
2
Express -a**3 - 2*a**4 - 43*a - 14 - 2*a**2 + a**4 + 42*a in the form h*a**3 + x + k*a**4 + o*a + v*a**2 and give v.
-2
Express 8*j - j - 7*j - 6 - j as n + h*j and give h.
-1
Express -151 + 151 + 37*x as m + f*x and give f.
37
Rearrange (3*i**4 + i**4 - 6*i**4)*(0 + 1 - 2 + 0 - 1 + 0 + (-6 + 0 + 4)*(-4 + 3 + 3))*(-5 + 4 + 4) to y + j*i**2 + d*i**4 + q*i + h*i**3 and give d.
36
Rearrange 45 + 48 - 91 + 13*z to x*z + s and give x.
13
Express -z**2 - 2*z**2 + 4*z**2 + (z - 2*z + 3*z)*(-3*z - z + 2*z) + 6*z**2 + 170*z + 2 - 170*z as q*z**2 + x + v*z and give x.
2
Express 3 - 3 + 7*j**2 + (5*j + 0*j + 0*j)*(0*j + 2*j - j) in the form n + b*j**2 + m*j and give b.
12
Express (3 - 3 - 2*t)*(-3*t**3 + 6*t**3 - t**3) + 46 - 41 - 4*t + 5*t - t**4 in the form n*t + w + o*t**2 + x*t**3 + u*t**4 and give x.
0
Rearrange (3*z + 4*z - 5*z + (-6 + 2 + 2)*(0 + 0 - 2*z))*(-25 - 8 + 17) to the form r + v*z and give v.
| {
"pile_set_name": "DM Mathematics"
} |
075525 to the nearest integer?
182
What is the third root of 762255 to the nearest integer?
91
What is 17698133 to the power of 1/2, to the nearest integer?
4207
What is the square root of 693372 to the nearest integer?
833
What is the cube root of 5477298 to the nearest integer?
176
What is 2132801 to the power of 1/2, to the nearest integer?
1460
What is 262781 to the power of 1/5, to the nearest integer?
12
What is 2063294 to the power of 1/5, to the nearest integer?
18
What is the fourth root of 103716 to the nearest integer?
18
What is the square root of 1776428 to the nearest integer?
1333
What is the third root of 7330 to the nearest integer?
19
What is the ninth root of 4470435 to the nearest integer?
5
What is the tenth root of 518942 to the nearest integer?
4
What is 240596 to the power of 1/3, to the nearest integer?
62
What is the eighth root of 1390868 to the nearest integer?
6
What is the seventh root of 5517694 to the nearest integer?
9
What is 765181 to the power of 1/9, to the nearest integer?
5
What is the cube root of 5700825 to the nearest integer?
179
What is the fourth root of 11732084 to the nearest integer?
59
What is the square root of 2464465 to the nearest integer?
1570
What is the third root of 261122 to the nearest integer?
64
What is the third root of 2158485 to the nearest integer?
129
What is the eighth root of 8568461 to the nearest integer?
7
What is 166215 to the power of 1/2, to the nearest integer?
408
What is the square root of 23751 to the nearest integer?
154
What is 1223122 to the power of 1/2, to the nearest integer?
1106
What is 5987495 to the power of 1/2, to the nearest integer?
2447
What is the third root of 115265 to the nearest integer?
49
What is 283798 to the power of 1/8, to the nearest integer?
5
What is the third root of 18960382 to the nearest integer?
267
What is 235458 to the power of 1/3, to the nearest integer?
62
What is 6009417 to the power of 1/2, to the nearest integer?
2451
What is 180079 to the power of 1/7, to the nearest integer?
6
What is the square root of 40631 to the nearest integer?
202
What is the ninth root of 7883298 to the nearest integer?
6
What is 2356739 to the power of 1/7, to the nearest integer?
8
What is 10662073 to the power of 1/5, to the nearest integer?
25
What is the fourth root of 695103 to the nearest integer?
29
What is the sixth root of 315498 to the nearest integer?
8
What is the cube root of 13425618 to the nearest integer?
238
What is the tenth root of 355403 to the nearest integer?
4
What is 3992891 to the power of 1/3, to the nearest integer?
159
What is the tenth root of 1512362 to the nearest integer?
4
What is the third root of 302995 to the nearest integer?
67
What is the square root of 232792 to the nearest integer?
482
What is 417548 to the power of 1/3, to the nearest integer?
75
What is 133770 to the power of 1/2, to the nearest integer?
366
What is the square root of 40851 to the nearest integer?
202
What is 81871 to the power of 1/6, to the nearest integer?
7
What is 121658 to the power of 1/7, to the nearest integer?
5
What is the cube root of 19377564 to the nearest integer?
269
What is the third root of 915850 to the nearest integer?
97
What is the third root of 485597 to the nearest integer?
79
What is 444970 to the power of 1/3, to the nearest integer?
76
What is 1111737 to the power of 1/3, to the nearest integer?
104
What is 1494057 to the power of 1/3, to the nearest integer?
114
What is 11911203 to the power of 1/2, to the nearest integer?
3451
What is the ninth root of 222563 to the nearest integer?
4
What is 6117230 to the power of 1/2, to the nearest integer?
2473
What is the cube root of 2098124 to the nearest integer?
128
What is 1373966 to the power of 1/8, to the nearest integer?
6
What is 465301 to the power of 1/2, to the nearest integer?
682
What is the third root of 17869166 to the nearest integer?
261
What is 2158970 to the power of 1/5, to the nearest integer?
18
What is the seventh root of 10526807 to the nearest integer?
10
What is 1864317 to the power of 1/2, to the nearest integer?
1365
What is the eighth root of 1212597 to the nearest integer?
6
What is the sixth root of 14412434 to the nearest integer?
16
What is the eighth root of 6885959 to the nearest integer?
7
What is 223740 to the power of 1/3, to the nearest integer?
61
What is 2698839 to the power of 1/2, to the nearest integer?
1643
What is the third root of 13233677 to the nearest integer?
237
What is 698233 to the power of 1/3, to the nearest integer?
89
What is 645645 to the power of 1/3, to the nearest integer?
86
What is 44395 to the power of 1/3, to the nearest integer?
35
What is 252814 to the power of 1/5, to the nearest integer?
12
What is the square root of 1969496 to the nearest integer?
1403
What is 249225 to the power of 1/2, to the nearest integer?
499
What is the eighth root of 213967 to the nearest integer?
5
What is the cube root of 17976484 to the nearest integer?
262
What is the cube root of 2831659 to the nearest integer?
141
What is the tenth root of 4247343 to the nearest integer?
5
What is the square root of 7148296 to the nearest integer?
2674
What is 610787 to the power of 1/7, to the nearest integer?
7
What is 668801 to the power of 1/8, to the nearest integer?
5
What is 733772 to the power of 1/3, to the nearest integer?
90
What is 1523793 to the power of 1/2, to the nearest integer?
1234
What is 304117 to the power of 1/2, to the nearest integer?
551
What is the fifth root of 80557 to the nearest integer?
10
What is the ninth root of 708260 to the nearest integer?
4
What is 281870 to the power of 1/2, to the nearest integer?
531
What is the fourth root of 534750 to the nearest integer?
27
What is the square root of 5863929 to the nearest integer?
2422
What is 2263970 to the power of 1/10, to the nearest integer?
4
What is 382304 to the power of 1/3, to the nearest integer?
73
What is 299989 to the power of 1/10, to the nearest integer?
4
What is the fifth root of 1392049 to the nearest integer?
17
What is 355567 to the power of 1/2, to the nearest integer?
596
What is 581674 to the power of 1/2, to the nearest integer?
763
What is the fourth root of 15575090 to the nearest integer?
63
What is the square root of 2496371 to the nearest integer?
1580
What is the eighth root of 799310 to the nearest integer?
5
What is 252035 to the power of 1/3, to the nearest integer?
63
What is the square root of 12725835 to the nearest integer?
3567
What is 3776688 to the power of 1/3, to the nearest integer?
156
What is the square root of 1378542 to the nearest integer?
1174
What is 44796 to the power of 1/3, to the nearest integer?
36
What is the cube root of 5206459 to the nearest integer?
173
What is 434825 to the power of 1/2, to the nearest integer?
659
What is the cube root of 3044310 to the nearest integer?
145
What is 62743 to the power of 1/8, to the nearest integer?
4
What is 1208601 to the power of 1/8, to the nearest integer?
6
What is the square root of 405398 to the nearest integer?
637
What is 7469255 to the power of 1/3, to the nearest integer?
195
What is the square root of 14195698 to the nearest integer?
3768
What is 430853 to the power of 1/2, to the nearest integer?
656
What is 159137 to the power of 1/5, to the nearest integer?
11
What is the square root of 3038167 to the nearest integer?
1743
What is the third root of 1278836 to the nearest integer?
109
What is the sixth root of 691212 to the nearest integer?
9
What is the square root of 328389 to the nearest integer?
573
What is the square root of 2100798 to the nearest integer?
1449
What is the square root of 7348267 to the nearest integer?
2711
What is 60803 to the power of 1/8, to the nearest integer?
4
What is the cube root of 963070 to the nearest integer?
99
What is 639901 to the power of 1/7, to the nearest integer?
7
What is 14157431 to the power of 1/3, to the nearest integer?
242
What is the square root of 2544576 to the nearest integer?
1595
What is 370718 to the power of 1/10, to the nearest integer?
4
What is 22520956 to the power of 1/3, to the nearest integer?
282
What is 17402497 to the power of 1/8, to the nearest integer?
8
What is 131289 to the | {
"pile_set_name": "DM Mathematics"
} |
prob of sequence by.
1/13
Two letters picked without replacement from igcpggovvopi. What is prob of sequence pc?
1/66
Four letters picked without replacement from {l: 1, a: 1, j: 1, t: 1, b: 1}. What is prob of sequence ablt?
1/120
What is prob of sequence zz when two letters picked without replacement from hdhhdhzhddzh?
1/66
Two letters picked without replacement from mssaxaaampaapaaxm. Give prob of sequence xs.
1/68
Four letters picked without replacement from kqknmmkkmnmmn. Give prob of sequence nnnm.
1/572
Calculate prob of sequence np when two letters picked without replacement from {d: 1, i: 2, u: 1, b: 2, p: 3, n: 3}.
3/44
Calculate prob of sequence dkdk when four letters picked without replacement from dddddkddddddddkdkd.
7/408
Four letters picked without replacement from {s: 3, o: 5}. What is prob of sequence osso?
1/14
What is prob of sequence xx when two letters picked without replacement from {x: 3, e: 8}?
3/55
Two letters picked without replacement from uuffufkkkfk. What is prob of sequence kf?
8/55
What is prob of sequence kkkk when four letters picked without replacement from {g: 5, k: 7}?
7/99
Two letters picked without replacement from {c: 4, x: 2, m: 3}. What is prob of sequence cc?
1/6
Calculate prob of sequence iiy when three letters picked without replacement from yiyiyyyiiy.
1/10
Two letters picked without replacement from {e: 9, c: 10}. What is prob of sequence cc?
5/19
Four letters picked without replacement from {l: 1, w: 5, u: 6, y: 1, o: 2}. What is prob of sequence loow?
1/3276
Two letters picked without replacement from {e: 2, z: 1, p: 3, h: 4}. Give prob of sequence ez.
1/45
What is prob of sequence aaa when three letters picked without replacement from {r: 9, a: 11}?
11/76
Four letters picked without replacement from thkthwkhw. What is prob of sequence hwhh?
1/252
What is prob of sequence if when two letters picked without replacement from iiifiiiifiifiiii?
13/80
Three letters picked without replacement from ddhezdldzdz. Give prob of sequence hze.
1/330
Two letters picked without replacement from {h: 1, f: 9, p: 1, a: 5}. Give prob of sequence ph.
1/240
Four letters picked without replacement from scaxccamcxca. Give prob of sequence xccs.
1/297
Two letters picked without replacement from uqbbbtbutbbq. Give prob of sequence qq.
1/66
Calculate prob of sequence dk when two letters picked without replacement from bgbgbbkkaggakdafa.
3/272
Two letters picked without replacement from {j: 5, e: 4, p: 2, u: 2, y: 1, f: 1}. What is prob of sequence up?
2/105
What is prob of sequence sp when two letters picked without replacement from ppsppks?
4/21
What is prob of sequence sm when two letters picked without replacement from mmsmmmmmmmmmmmmsmmmm?
9/95
Calculate prob of sequence rjrj when four letters picked without replacement from {t: 2, v: 1, o: 1, r: 4, j: 3, b: 1}.
1/165
Three letters picked without replacement from avaavaaavvvaedaaeve. Give prob of sequence eed.
1/969
What is prob of sequence mtu when three letters picked without replacement from {f: 2, w: 1, e: 1, u: 1, m: 1, t: 1}?
1/210
Two letters picked without replacement from {t: 2, i: 1, y: 4}. What is prob of sequence yt?
4/21
Two letters picked without replacement from oozxooas. Give prob of sequence az.
1/56
What is prob of sequence hx when two letters picked without replacement from {k: 1, x: 2, r: 3, e: 3, h: 1}?
1/45
What is prob of sequence jjf when three letters picked without replacement from dfrjorfffjjjfrfrfjr?
70/2907
Four letters picked without replacement from uurruuuuuuuuuuur. What is prob of sequence uuru?
33/280
Calculate prob of sequence yys when three letters picked without replacement from {s: 4, y: 1, e: 8}.
0
Three letters picked without replacement from iii. Give prob of sequence iii.
1
Four letters picked without replacement from {a: 2, r: 2, z: 1}. Give prob of sequence arrz.
1/30
Four letters picked without replacement from {k: 2, d: 4, n: 11, f: 2}. What is prob of sequence ndnf?
55/5814
Three letters picked without replacement from {s: 2, y: 8, k: 4}. What is prob of sequence syy?
2/39
Calculate prob of sequence dd when two letters picked without replacement from {d: 4, u: 4, j: 4, m: 6, b: 2}.
3/95
Four letters picked without replacement from {f: 12, m: 1, s: 2, e: 3, x: 1}. What is prob of sequence fefm?
11/2584
Calculate prob of sequence ac when two letters picked without replacement from aaaaacaaaca.
9/55
Calculate prob of sequence qhh when three letters picked without replacement from hhhhqhhhhhhhhhhhhhh.
1/19
Two letters picked without replacement from {u: 1, g: 4, c: 5, e: 1}. Give prob of sequence gu.
2/55
Two letters picked without replacement from {n: 1, g: 1, u: 3, k: 1, t: 1}. What is prob of sequence tk?
1/42
What is prob of sequence mm when two letters picked without replacement from {m: 3, o: 10, p: 2, q: 1}?
1/40
What is prob of sequence oo when two letters picked without replacement from {o: 2, g: 9}?
1/55
Three letters picked without replacement from httxxttxjxx. Give prob of sequence hjt.
2/495
Four letters picked without replacement from {x: 6, i: 3, w: 1, c: 8}. What is prob of sequence cxii?
1/255
What is prob of sequence avat when four letters picked without replacement from vtaat?
1/30
Two letters picked without replacement from {f: 5, o: 1, j: 6, d: 3}. What is prob of sequence fo?
1/42
What is prob of sequence aaj when three letters picked without replacement from {y: 6, a: 2, j: 11}?
11/2907
Three letters picked without replacement from {z: 6, t: 2, m: 10}. Give prob of sequence tzt.
1/408
What is prob of sequence nan when three letters picked without replacement from annnnamnnnnnmnnmma?
55/816
Calculate prob of sequence vjjj when four letters picked without replacement from {f: 5, z: 2, j: 5, v: 7}.
35/7752
Calculate prob of sequence ee when two letters picked without replacement from {g: 8, e: 2, z: 5}.
1/105
Three letters picked without replacement from {q: 1, m: 1, a: 3, j: 1, t: 1}. Give prob of sequence maq.
1/70
Calculate prob of sequence kwa when three letters picked without replacement from wkkfa.
1/30
Three letters picked without replacement from aaqqqqnnno. What is prob of sequence aon?
1/120
Four letters picked without replacement from zzzzzzz. What is prob of sequence zzzz?
1
Calculate prob of sequence iriv when four letters picked without replacement from {i: 2, r: 1, x: 1, v: 2}.
1/90
What is prob of sequence pgx when three letters picked without replacement from pxxpppgpxppppxggppg?
88/2907
Four letters picked without replacement from fufuffffuuf. Give prob of sequence uuuu.
1/330
What is prob of sequence oo when two letters picked without replacement from {k: 3, j: 1, s: 2, w: 3, f: 2, o: 9}?
18/95
Calculate prob of sequence tkut when four letters picked without replacement from ktkdtttttukkktc.
1/156
Two letters picked without replacement from qfffffffqf. Give prob of sequence qf.
8/45
Calculate prob of sequence qbq when three letters picked without replacement from {u: 1, q: 4, b: 6, h: 1, k: 2, x: 1}.
12/455
What is prob of sequence pkkf when four letters picked without replacement from pfggkjkfgpkggpppgkk?
25/11628
Calculate prob of sequence iari when four letters picked without replacement from {r: 4, i: 2, a: 1, m: 1}.
1/210
Four letters picked without replacement from {x: 8, e: 5}. Give prob of sequence xxex.
14/143
What is prob of sequence xx when two letters picked without replacement from {r: 2, h: 1, x: 4}?
2/7
Calculate prob of sequence rp when two letters picked without replacement from ppoppppprpppopo.
11/210
Three letters picked without replacement from xrlnu. Give prob of sequence ulr.
1/60
Calculate prob of sequence xhxh when four letters picked without replacement from xhhxxxhhhx.
5/63
Calculate prob of sequence aaq when three letters picked without replacement from aaaqaaaaaaaa.
1/12
What is prob of sequence oooc when four letters picked without replacement from oooocceoocooc?
56/715
Two letters picked without replacement from {t: 4}. Give prob of sequence tt.
1
Calculate prob of sequence ir when two letters picked without replacement from zrikgrrzrzrb.
5/132
Four letters picked without replacement from evevzvzpevpvedveepd. What is prob of sequence ezpp?
1/1292
Calcul | {
"pile_set_name": "DM Mathematics"
} |
.
-4
Let p(w) = -6*w + 179. Let o be p(29). Solve -o*b + 10 = -2*j, 0 = -3*j + 4*j - b + 2 for j.
0
Let k = -178 + 182. Solve 0*n = 5*n - 4*u + 14, 0 = -k*n + 5*u - 13 for n.
-2
Let x = -236 + 236. Solve 3 = -p + 3*k, -p + 4*k + 0 - 4 = x for p.
0
Suppose -c = w - 10, -14 = 3*w - 2*w - 5*c. Suppose -w = -r - 3*v, r = -4*r - v + 86. Solve -3 = -3*p + 3*m - r, -3*p = 2*m + 10 for p.
-4
Let j = 337 - 333. Solve -4*y + y = -3*o + 21, 0 = -j*o + 16 for y.
-3
Let v = 1947 - 1942. Solve -4*z + 4*a = 28, -v*z + 4*a - 23 = 2*a for z.
-3
Let h(l) = 35*l**2 - 9 + 32*l**2 - 14*l - 81*l**2 + l**3. Let d be h(15). Solve 4*j + 9 = -x, 0*j = j + 4*x + d for j.
-2
Let x = -184 - -184. Suppose 0 = -x*k - 4*k - 5*f + 32, -4*k + 5*f = -32. Suppose -3*u = u. Solve -2*n + 5*g = -7, u = 3*g + k + 1 for n.
-4
Let p(s) = s**2 + 4*s + 10. Let i be p(-3). Suppose -5*g + b = 6*b - 25, -g - i = -3*b. Solve 6*y = y - 5*r - 5, 3*r + 5 = -g*y for y.
2
Let m be 26/(-6) - (-9)/27. Let d(f) = -f - 1. Let o be d(m). Solve 2*s - 26 = -4*n, 5*s = -o*n + 5*n + 17 for s.
5
Let y = -35 + 67. Suppose 10*m - y = 9*m. Suppose -2 = 5*h - 5*i - m, h - 2 = 2*i. Solve -2*g = -h, 2*g - 1 = -4*f - 3 for f.
-3
Suppose -4*x + 2*x + 28 = -2*i, 5*i - 10 = 0. Let t = x - 14. Solve -f + d - 3 = 0, 2*f = 6*f + t*d + 6 for f.
-2
Suppose 0 = 3*h + 4*h - 28. Solve -3*j = -h*s + 3 - 4, 5*s = -j - 6 for j.
-1
Suppose 0 = -2*t - 4*x - 2, t + 14 = 3*t - 4*x. Let r(j) = -3*j - 18. Let v be r(-7). Suppose 4*o - 9 = v*o. Solve 4*l = 4*u + 2 + 2, o = t*l - 5*u for l.
-2
Suppose 0 = 3*b + 2*a - 4, 0*b = -4*b - 4*a + 4. Solve 5*s = 5*n - 1 - 4, -b*n - 5*s - 19 = 0 for n.
-2
Let w(n) = -2*n**3 - 17*n**2 - 8*n. Let s be w(-8). Solve -x + s = -3*b + 5, 5*x + 4*b - 13 = 0 for x.
1
Suppose 93 - 90 = p. Solve -h = p*l + 12, -5*l - h - 20 = 2*h for l.
-4
Suppose 12 = 3*w - 3. Suppose -w*v = -3*v - 6. Suppose v*f - 9*f = -24. Solve q = 2*r + 7, 3*q - 19 = f*r - 0*q for r.
-1
Let k = 5 - 4. Let t = 3876 - 3871. Solve 3*j - 3*a + k = 4, 2*a = -t*j - 23 for j.
-3
Let v(p) = -p - 20. Let b be (-142)/6 - (-3)/(-9). Let z be v(b). Solve -z*q = 3*t + 20, -15 = 3*q - 2*t + 3*t for q.
-5
Let l = -5 + 9. Let b be 160/30*(30/8)/5. Solve 19 = 6*i - i - l*c, 0 = b*i + 3*c - 9 for i.
3
Suppose 12 = -42*n + 45*n. Solve -5*w = 4*z - 5, -n*w - 3*z = w for w.
-3
Suppose -2*r + 8 = -88. Suppose -2*k = -0*k - r. Let z be (-2)/(3*(-4)/k). Solve 4*c + 2 = 2*b, 3*b + 9 = -2*c - z for b.
-3
Suppose -4*f = 5*f - 144. Suppose -f*r = -29*r + 78. Solve -18 = o + 5*b, 2*o - r = -o + 5*b for o.
-3
Let g(n) = -n**2 - 5*n. Let f be g(-4). Suppose -r - 2 = 3. Let y = 10 + r. Solve -f*p + 12 = -0*p, -y = -5*z + 5*p for z.
4
Let b = 25 + -20. Suppose t = -2*i + 11, 17 = b*t - 8. Suppose -i*n - 9 = 0, -5*n = -5*a + 4 + 11. Solve w + 8 = -a*w + 2*y, 8 = 2*y for w.
0
Let m be 4*(4 - (-33)/(-12)). Solve 4*o = 4*z, m = -5*o + z + 13 for o.
2
Let v = 65 + -63. Suppose -5*y = 15 - 0, 0 = x - v*y - 9. Suppose 4*s = -k + 42, -14 = -s - s + 3*k. Solve 6*l - 5*o + 12 = x*l, l + 3*o = s for l.
1
Let h(d) = -d**2 + 5*d + 16. Let c(u) = -u**2 + 8*u - 9. Let g be c(4). Let s be h(g). Solve s*f + 4*k - 12 = 0, -3*f + f + 5*k = 24 for f.
-2
Let g(s) = -7*s + 23. Let w be g(3). Solve 6*z - 20 = 4*v + z, 0 = -w*v - 3*z + 12 for v.
0
Let a = 6 - 1. Suppose 6*j + 5*r = j, 0 = -4*j + a*r. Suppose -5*h + j + 20 = 0. Solve h*g = u + 2*u + 11, -5*g + 14 = -4*u for g.
2
Let g(z) = -z - 40. Let n(c) = 2*c + 39. Let v(r) = -4*g(r) - 5*n(r). Let k be v(-6). Solve 4*j - q = 4, 2*j = q + 5 - k for j.
0
Suppose -37 + 19 = -6*s. Solve 3*m - 17 = -g, -4*m + 18 = -4*g + s*g for m.
5
Let d(a) = 3*a - 32. Let r be d(12). Solve r*m - 3*y = 5, 2*y + 2 + 3 = m for m.
-1
Suppose -u + 33 = 4*x + x, -5*u - 5*x + 65 = 0. Solve -q = 5*h - h + u, -3 = h for q.
4
Let n = -93 + 96. Let i(c) = 11*c - 17. Let g be i(n). Solve -8*x + 10 = -3*x, -2*r = -4*x + g for r.
-4
Let f(p) be the first derivative of -p**4/4 + 4*p**3/3 - 6*p - 1. Let h be f(3). Solve -3*n - h*o = -2*o + 13, -n = -5*o - 17 for n.
-3
Suppose 0 = -4*x + 6*x + 10, -x = -5*p + 115. Solve -5*i + 3*f = -p, 2*i + 4 = 4*f + 10 for i.
5
Let f(m) = 5*m - 4. Let n = -9 - -5. Let r be ((-3)/n)/((-7)/(-28)). Let b be f(r). Solve 3*v + 2*u + 9 = -b, 0 = 5*v + 2*u + 28 for v.
-4
Let a(f) = -f**2 - 11*f + 2. Let y be a(-11). Let j(k) = -k**2 - 53*k - 658. Let c be j(-20). Solve y*g - 2*n + 5*n - 5 = 0, -c*n = 2 for g.
4
Let o = 676 - 648. Solve 16 = 5*d - 4*d + 5*b, 3*d - 4*b + o = 0 for d.
-4
Suppose -4*c - c - 28 = -4*x, 24 = 4*x - 4*c. Let a = 120 - 222. Let b be ((-10)/(-85) + 46/a)*0. Solve -5*u - 2*r + 6 = x, b = u - 2*r + 4 for u.
0
Let m = 13 - 8. Suppose 3*f = -0*f + m*s + 48, 3*s = 3*f - 42. Suppose f = -4*t + 31. Solve q - w - 5 = -0, -3*q + t*w = -25 for q.
0
Let x = -120 - -128. Suppose -10 = -r - x. Solve 0 = 4*v - 5*l + 41, -3*v - r*l + 13 = 3*l for v.
-4
Let d(g) = -g**3 - 7*g**2 - 12*g + 7. Let a be d(-5). Solve -2*c - a = -5*l, -12 = 4*c - 3*l + 1 for c.
-1
Let o(v) = -v**3 + 17*v**2 + 19*v - 8. Let k be o(18). Suppose 11*w = 13*w - k. Solve -c - w*q + 25 = 0, c = 6*c + 4*q - 41 for c.
5
Suppose 6 = -f - 7. Let i be 111/39 + (-2)/f. Solve i*b - 10 = 4*m, 2 = -3*m + 4*m - 3*b for m.
-4
Let i = 122 - 121. Solve -3*f + 2*n = i - 8, 4*n + 17 = 3*f for f.
-1
Suppose 16*h = 14*h. Let v(x) = x**3 - 2*x**2 + 20. Let r be v(h). Solve -5*g - r = -s + 3*s, 8 = -2*s + g for s.
-5
Let y(a) = a**2 - 2*a - 3. Let w be y(3). Suppose -4*c + w = -4. Suppose c - 4 = -o. Solve 0 = -3*p + 3, 0*s - o*s = -5*p - 10 for s.
5
Let b(z) = z**3 - 7*z**2 + 11. Let f be b(8). Suppose t + 2*t = f. Solve 0 = 2*h - 2*l + 14, -t + 1 = 4*h - 2*l for h.
-5
Let w = -1379 - -1379. Solve -y + 4*n + 6 = w, 0 = y + 2*n + 3*n + 12 for y.
-2
Suppose 1 = p - 11. Suppose -57 = -4*v + w, -4*w + 2*w - 58 = -4*v. Suppose f - 2*i = -f + v, -p = 4*i. Solve 5*h - 13 = -f*r, 0*r = -r - 3 for h.
5
Let r = 566 - 544. Solve 0*b + 5*b = -2*h - 24, -3*b = 5*h + r for h.
-2
Suppose 2*u = -2*c - 14, -c - u + 6*u = -5. Let t = c - -5. Solve -2*y + 4*q + 10 = t, -q + 3 = -4*q for y.
3
Suppose 23 = 8*s - 17. Solve -s*h + 2*l = -30, 0 = h + 3*l - 2*l + 1 for h.
4
Let y be (-6)/12*-3*2. Suppose -y*s = 4*z - 24, -s + 10 = 2*z + 2. Solve -5*r + 5*v + 2 + 3 = 0, 3*r = 4*v + s for r.
-4
Let o = 10 - 10. Suppose o*h = 4*h - 20. Suppose h*q - 12 - 8 = 0. Solve -q*f + 4*i = -1 + 17, 2*f - 4*i + 8 = 0 for f.
-4
Let n(m) = -m - 6. Let i be n(-11). Suppose 5*y = i*h - 25, 10*h - 23 = 5*h + 4*y. Solve z - 4*u + 1 = 0, 2*z + 11 = 2*u + h for z.
-5
Let i(p) = -p - 2. Let j be i(-2). Let y be (-23)/(-6) + 1/6. Solve -4*t + 0*b = y*b + 20, j = 5*t - 4*b + 25 for t.
-5
Let p be (-213)/(-18) + 14/84. Solve 0*g + p = g + 5*j, -2*g - 4*j + 12 = 0 for g.
2
Let l(v) = 71*v + 8. Let n be l(0). Solve y - 2*y = 2*r + n, -r = 5*y - 5 for r.
-5
Suppose -4*p + 9 = 2*m - 13, 4*m - 29 = -3*p. Suppose -p*h - 2*h - 20 = 0. Let j = h - -6. Solve 0 = 5*d + w - 30, 3*d - w = j*w for d.
5
Let l = -206 + 208. Solve 3*h = -5*t - 13, -l*t - 4 = -3*h + 18 for h.
4
Let b(f) = -f**2 + 8*f - 1. Let n(d) = -d - 1. Let v(k) = -b(k) - 2*n(k). Let x be v(6). Solve 2*y = 3*i - 12, -x*y + 4 = i - 0 for i.
4
Let a be 6/((-1)/((-3)/6)). Suppose -x = -a*x - 4. Let j = x + 6. Solve 5*i + 8 = i + j*o, 2*i + 13 = 5*o for i.
1
Let w = -84 + 91. Solve j + g = 3*j + w, 0 = -5*j + 2*g - 15 for j.
-1
Suppose -3*v - 22 = -16. Let i be ((-2)/(-1))/((-1)/v). Solve i*y = -k + y + 3, -5 = -3*k - 5*y for k.
0
Let z = -1006 - -1010. Solve -2*p + 7 = 2*p + 3*q, -4*p - z*q = -4 for p.
4
Let d = 92 + -89. Solve -r - 2*t = 3*t - 3, 0 = r + 3*t - d for r.
3
Suppose 134 - 142 = -4*t. Solve -o + t = -0*v - 4*v, -5*o = -2*v - 10 for v.
0
Let w = 78 + -30. Let f = w - 46. Solve -x - y - 8 = 0, 6*y + 37 = -5*x + f*y for x.
-5
Let z(x) = x**3 + 14*x**2 + 12*x - 11. Let b be z(-13). Suppose -b*h = -0*h - 8. Solve -h*l + 4*j = -l + 12, 2*l - 5*j + 8 = 0 for l.
-4
Let t(b) = 9*b + 22. Let v(s) = 4*s + 11. Let l(r) = -3*t(r) + 7*v(r). Let k be l(-7). Suppose -6 = -2*d - 0*d. Solve 5*p - 10 = k*o, 2*p + d = -4*o + 7 for p.
2
Let r = -1870 + 1885. Solve 0*j - 2 = -j, 5*m = -5*j + r for m.
1
Suppose 4*t = 3*k - 46, -28 = -2*k + 5*t - t. Solve -s - 4 = -2*s, -k = 2*g - 3*s | {
"pile_set_name": "DM Mathematics"
} |
nearest to 0.1 in -0.2, f, a?
-0.2
Let g be (12/(-8) - (-7)/28) + (-15)/(-10). Which is the nearest to -0.2? (a) -2/11 (b) -73 (c) g
a
Let j = -0.1 + -0.3. Let p = 258.53 - 259.03. What is the closest to -2/5 in 0.3, 1/9, p, j?
j
Let a = -2821 + 2820.6. What is the closest to 0.2 in 383, a, 1/5?
1/5
Let s = -0.01 - 0.29. Let v = -0.003686 - -1.003686. Let l = 50 - 452/9. What is the closest to v in -0.22, l, s?
-0.22
Let s = 32.566 - 32.966. Let i = 16 + -14.9. Which is the closest to i? (a) s (b) -1 (c) -1/5
c
Let n = 2 - -2. Let q = -672 + 242. Let u = -428 - q. Which is the closest to n? (a) 0 (b) u (c) -4
b
Let q = -12.08 + 12.38. What is the closest to 0 in 1162, q, -1?
q
Let v = -529 + 208. Let k = v - -319. What is the nearest to 2 in k, 1, -4?
1
Let s = 25799 - 25799.1. Which is the nearest to 1? (a) s (b) -2 (c) 0.09 (d) 11/3
c
Let l = 28613/11 - 2601. What is the closest to -79 in -2, l, 4?
-2
Let x = -634763/2 - -300243291/946. Let y be (20/(-86))/(0 + -1). Let l = x - y. Which is the nearest to 0.1? (a) -5 (b) 0.4 (c) l
c
Let d be 1/(-6) - (-15 - (-3 + 834/(-72))). Suppose -2*w - 2 = 2. What is the nearest to -1/4 in 2, d, w, -3?
d
Let p be 9/28 - (-21)/49. Let i = 493 + -495.23. Let r = -0.23 - i. Which is the nearest to -0.12? (a) r (b) 1/4 (c) p
b
Suppose -4*i + 5*f = i - 260, -4*f = -3*i + 152. Let j be (i/(-245))/(3/15*-2). What is the closest to 1 in j, 1/4, 2/7, -30?
j
Let o = -640 + 400. Let d = o - -222. Which is the closest to -1? (a) 0.2 (b) 1/2 (c) d
a
Let z = -4.86815 + -0.00985. Let m = -0.122 + z. What is the nearest to 3 in m, 4, -1/3?
4
Let f(n) be the first derivative of -n**2/2 + 21*n - 4. Let i be f(21). Suppose 2*q - 7 = -5. What is the closest to q in -0.2, i, -7?
i
Let u be (-1*2 - -1)/(-4). Let c = -486 + 243. Let b = c - -241. What is the nearest to 1 in 1/7, u, b?
u
Let i = 26.3 + -29. Let g = i + 2.7. Let l = 0.2 + -0.1. Which is the closest to g? (a) l (b) -5 (c) -1
a
Let h = 2136 + -2118. What is the nearest to -2 in -0.2, h, 3/4?
-0.2
Let v = 405.7 + -406.1. What is the closest to 6/5 in 0, 5, 1, v?
1
Let b = -0.5068 + -18.4932. Let w = -16 + 19. Let f = w + -2. What is the nearest to 2/7 in b, -4, f?
f
Suppose -784 + 3817 = -9*u. Let h = 337 + u. Which is the nearest to h? (a) -1/4 (b) -9 (c) 2
a
Let w = 105.72 - -2.28. Let o = w - 108.2. Suppose -2*u - 28 = 2*j, -3*j + 5 - 3 = -u. Which is the nearest to u? (a) o (b) -1/9 (c) -0.5
c
Let x = -4.09 + 4.19. What is the nearest to x in -2/13, 9, -68?
-2/13
Let g = -1783/9867 + -1/897. Let m be 1/(-5)*2/1. Let d = -1 + 1. Which is the closest to d? (a) m (b) 0 (c) g
b
Let o be 1*(10 + (-155)/15). Let d = 9 - 8.9. Let i = -1.3 + 0.3. Which is the nearest to i? (a) d (b) o (c) -0.4
c
Let i = -0.024 - 78.976. Let t = i + 79.15. Let r = -42 - -81/2. Which is the nearest to 1/3? (a) r (b) t (c) 4/5
b
Let k = -1.8 - 7.2. Let g = -14 - k. Let t = 1235.065 - 1239.065. Which is the nearest to g? (a) t (b) 3/5 (c) -1
a
Suppose 4*j - 44 = -3*k, -2*k - 5*j = -3*j - 26. Let q be -8 + k + (-8)/(-28). Which is the closest to q? (a) 0 (b) 23/3 (c) 0.4
c
Let n = -164 - -163.9. Let g = 7.2 - 9.2. Which is the nearest to 129? (a) -5 (b) g (c) n
c
Let k = 5 + -6. Let d = -32899/65 + 2533/5. What is the closest to -0.1 in -5, k, -2/9, d?
-2/9
Let a be 4*(162/(-20) - -8). What is the closest to -0.1 in 5, 34, a?
a
Let m = -4114 - -4112.2. What is the nearest to 0 in 19, -2/15, m, -5?
-2/15
Suppose h + 0*d + 15 = 5*d, -4*h - 5*d = -40. Suppose 30 + 19 = 7*i. Let w be -1 - (1 - i/3). What is the closest to 0.2 in h, w, -1?
w
Let x be (99/(-297))/(0 - 3/(-9)). What is the nearest to -4 in x, -3, -3/4, -2?
-3
Let i = 21 - 20.67. Let r = i + 0.06. Let o = -1.61 - r. What is the closest to 1 in -3, o, -0.1?
-0.1
Let z = 50.5839 + 0.0161. Let i = 52.6 - z. What is the closest to -0.2 in i, 0.2, -1/5, -1/11?
-1/5
Let z = 1.513 - 1.913. Let m = -0.18 - 1.82. Which is the nearest to m? (a) -2 (b) z (c) -4
a
Let l = -0.2902 + -0.1098. Which is the nearest to -1? (a) 1/6 (b) 0 (c) l
c
Let d be (-1022)/365*2/2*-5. Let v = 3.1 - -0.9. What is the closest to d in v, 2/15, 0.1?
v
Let t = 10359 + -10360.995. Which is the nearest to t? (a) -0.5 (b) -0.4 (c) -2
c
Let v be (-56)/(-102) - 6/9. Let r = -388 + 383. Which is the closest to -3? (a) -1/7 (b) v (c) r
c
Let m = 72.94 + -68.94. What is the closest to 1/14 in m, 1/3, -4, 0.2?
0.2
Let g = 11 + 0. Let y = g + -11.2. Let a = -0.011 - 0.489. What is the nearest to -2 in 4, a, y?
a
Let a = 1.364 + -1.4. Let i = 1.09 + -0.654. Let f = a + i. What is the nearest to 2/13 in 0.5, f, -0.1?
f
Let a = -0.09358 + -0.30642. Let u = 1 - 2. What is the closest to a in u, 4, -0.5?
-0.5
Let i = -7855.7 + 7855.5. Let g be (1/(-2))/(2/(-4)). What is the nearest to g in 2, i, 2/9?
2/9
Let k = 3748 + -3750. What is the nearest to k in -2/7, -4, -378, -2/13?
-2/7
Let x = -814.5 + 813.1. Which is the nearest to x? (a) -1/7 (b) 2/9 (c) -4
a
Let g = 17.366 - 0.266. Let p = g - 17.5. What is the nearest to 3 in 5, -0.5, p?
5
Let v(q) = -q**3 + q**2 + q - 1. Let k be v(1). Suppose k = -9*t + 8*t - 1. Which is the nearest to -0.2? (a) -3 (b) 2 (c) t
c
Let a = 1.877 + -1.7841. Let f = 9.9071 + a. What is the closest to -1 in 3, 2/11, f, 1/4?
2/11
Let m = -0.17068 + 0.23068. Let y = 30651/1015 - 8/145. Let l = 30 - y. Which is the nearest to l? (a) m (b) -4 (c) -5
a
Let u = 1284 - 1269. Let o = 0.42 + -18.42. Let q = u + o. Which is the nearest to -2? (a) 0.3 (b) -0.1 (c) q
c
Let p(f) = -21*f. Let q be p(4). Suppose -3*u = -4*h - 319, -2*h + u - 122 = 41. Let v = h - q. Which is the closest to 1? (a) v (b) 2 (c) 1/2
c
Let f be (-241)/292 - 20/(-80). Let o = -8966/657 + f. Let s = o - -586/45. What is the nearest to 2 in s, -1/8, -5?
-1/8
Let p = 54 - 215/4. Let r = 727 + -619.4. Let z = -108 + r. What is the nearest to -1 in p, -1.1, z?
-1.1
Let v = -92 - -95.025. Let m = -0.025 + v. Let i = m + -4. Which is the nearest to -2? (a) -1/4 (b) -1.1 (c) i
b
Let q = 3321 + -3315. Which is the nearest to 2? (a) q (b) -1 (c) -3/4 (d) 1/7
d
Let f = -14.93 - -13.93. What is the closest to -4.7 in -3, 4, 2/11, f?
-3
Let p = 80.177 - 80.077. Let m be ((-32)/14 - -2)*2. What is the nearest to 0.3 in -0.3, p, m, -3/2?
p
Let f be (-32)/66 + (-4)/(-6). Let s = -25.7999 + 28.726. Let a = s + 0.0739. What is the closest to -1 in f, a, -2/13?
-2/13
Let s = 1525 - 1586. Which is the nearest to 1/4? (a) 0.4 (b) s (c) 2 (d) -2/5
a
Let y(u) = u**2 + u - 34. Let t be y(18). Let j be (0 + -1)/(t/(-56)). What is the nearest to 1 in j, -3/8, 0.2, 4?
0.2
Let d = 47110.7 - 47111. Let u = 1 + 6. Let m = 5 - u. Which is the nearest to -0.04? (a) m (b) 2 (c) d
c
Let c = -1.536 + 3. Let d = c + 0.536. What is the closest to 2/3 in 4/5, 0.3, d?
4/5
Let t = 0.3 + -0.1. Let d = t + -0.5. Let q = -16365 + 16366. Which is the closest to 0? (a) 4/9 (b) d (c) q
b
Let p = 247 + -248. Let x = p - -4. What is the closest to -3 in x, -1/3, -0.4?
-0.4
Let k = 2.16719 - 0.16719. What is the closest to -1 in -2/11, -8, k?
-2/11
Let q = 2456.2 + -2456. What is the closest to q in 5/2, 10, 2/5, 0.04?
0.04
Let r = 8501 + -8494. Which is the closest to -19? (a) 1 (b) r (c) -4
c
Let n = 21611/445 + 16/445. Let g = 48 - n. Let c(d) = -d - 1. Let w be c(0). What is the nearest to 0 in w, -0.1, g?
-0.1
Let m = -2.67 + 19.17. Let w = m - 14.5. What is the closest to w in 1/2, -5, -2?
1/2
Suppose 308*f - 5312 = 225*f. What is the closest to -2 in f, 1, 3?
1
Let m = -27.8 - -26.14. Let q = m + 1.56. Which is the nearest to 0.3? (a) 2/5 (b) 3 (c) q
a
Suppose 78*n - 81*n = -57. Suppose 2*p - 30 = 5*s - 3*p, 4*s - 3*p = -n. Let v be (s/(-5))/(-1) + (-98)/210. Which is the closest to v? (a) -6 (b) 0.1 (c) -5
b
Let j = -10.116 + 4.116. What is the closest to 2/33 in 0.06, 2/9, j?
0.06
Let i = -105646935/562807 - -3/80401. Let o = -188 - i. Let r = -4.1 + 4. Which is the closest to r? (a) 5 (b) o (c) 2/7
b
Suppose -2*f + 0*f = 752 - 796. Which is the closest to f? (a) -1 (b) -13 (c) -5
a
Let d = 15964/11 + -590756/407. What is the closest to 0 in d, -4, -0.03?
-0.03
Let u = -1497/2 + 749. Which is the nearest to -4? (a) | {
"pile_set_name": "DM Mathematics"
} |
et z(q) be the first derivative of -2*q**3/3 + q - 1161. Let w(j) = -2*j**2. What is z(w(o))?
-8*o**4 + 1
Let h(w) = 975*w**2. Let v(q) = -6060*q**2. Give h(v(t)).
35805510000*t**4
Let d(c) be the first derivative of c**3/3 - 1. Let n be ((-28)/14)/(2*4/(-3756)). Let a(l) = -1864*l + 946*l + n*l. Give d(a(u)).
441*u**2
Let w(q) = q. Let y(b) be the third derivative of 0 - 5/3*b**3 + 2*b + 1/8*b**4 + 41*b**2. Determine y(w(l)).
3*l - 10
Let i(h) = 136*h - 2. Let m(d) = -d. Let p(t) = 12*t. Let s(v) = -6*m(v) - p(v). Let b(a) = 2*i(a) + 44*s(a). Let q(r) = -r. Give b(q(y)).
-8*y - 4
Let p(f) = 8*f + 9*f - 21*f + 6*f. Let k = 127 - 257. Let z(g) = -220*g**2 + 65. Let d(y) = 10*y**2 - 3. Let j(h) = k*d(h) - 6*z(h). Calculate p(j(s)).
40*s**2
Let x(q) = -135*q. Let m(t) = 4*t - 3. Let g(s) = -31*s + 16*s + 16 - 7*s. Let u(v) = -3*g(v) - 16*m(v). Calculate u(x(a)).
-270*a
Let n be 2*166 + (-1)/(5/(-10)). Let s(t) = 2*t**2 - n*t + 334*t. Let d(z) = -z - 5*z + 0*z + 0*z. Determine d(s(o)).
-12*o**2
Let n(t) = -138*t. Let i(g) = 253*g - 8. Let j(z) = 158*z - 5. Let u(o) = -5*i(o) + 8*j(o). Give n(u(p)).
138*p
Let p(f) = -8*f - 1 + 1. Let o(w) = -3 + 14330*w**2 - 14326*w**2 + 3. Give p(o(q)).
-32*q**2
Let r(t) be the first derivative of 3*t**2/2 + t - 4. Let s(v) be the first derivative of 3*v + v**2 - 4*v + v + 44. What is s(r(w))?
6*w + 2
Let h(k) be the third derivative of -181*k**5/60 - 347*k**2 + 3*k - 1. Let j(d) = -30*d**2. Determine j(h(z)).
-982830*z**4
Let r(p) = p**3 + 7*p**2 - 9*p - 3. Let z be r(-8). Let k(s) = 2*s + 0*s + 2*s - z*s. Let g(n) = 3*n**2. What is k(g(b))?
-3*b**2
Let u(x) be the third derivative of -x**4/12 + 78*x**2. Let o(w) = -1. Let q(y) = y - 10. Let d(h) = -2*o(h) + q(h). Determine u(d(b)).
-2*b + 16
Let k(l) = -29*l + 40. Suppose -6*u + 8 + 28 = 0. Let p(m) = 16*m - 20. Let c(o) = u*k(o) + 11*p(o). Let n(f) = -2*f. What is c(n(i))?
-4*i + 20
Let y(i) = 2*i**2. Suppose h = 4*h - 21. Let m(p) = p**3 - 6*p**2 - 3*p - 15. Let n be m(h). Let w(a) = -15*a - n*a + 36*a - 11*a. Calculate w(y(d)).
-6*d**2
Suppose -36 - 6 = 3*x. Let r(w) = -w**2 - 14*w + 4. Let l be r(x). Let c(q) = 10*q**2 - 6*q**2 + 4 - l. Let d(j) = j. Give d(c(a)).
4*a**2
Let j(a) = -3873126*a**2. Let y(m) = -7*m. Determine j(y(r)).
-189783174*r**2
Let j(p) = -8*p + 2. Let u(x) be the third derivative of 0*x**3 + 1/12*x**4 - 54*x**2 + 0*x + 0. Calculate j(u(f)).
-16*f + 2
Let a(r) = 36*r - 1. Let h(u) = 11*u**2 + 12673. Give h(a(c)).
14256*c**2 - 792*c + 12684
Let a(n) = 7*n. Let g(q) = 51*q**2 + q - 13132. Give a(g(y)).
357*y**2 + 7*y - 91924
Let l(q) be the first derivative of -11*q**3 - 70 + 9 + 0. Let u(p) = 2*p. What is l(u(a))?
-132*a**2
Let t(s) be the third derivative of s**4/8 - s**2 + 15*s + 4. Let v(d) = -194*d - 3. Let r(h) = -31428*h - 485. Let c(x) = 3*r(x) - 485*v(x). What is t(c(z))?
-582*z
Let m(k) = -15*k**2. Let s(o) be the first derivative of 7*o**2 - 17*o + 15. Let b(q) = -q + 3*q + 0*q - 6 + 3*q. Let z(w) = 17*b(w) - 6*s(w). What is m(z(x))?
-15*x**2
Let n(x) = 1833792*x**2 + x - 2. Let v(c) = -c**2. Calculate n(v(p)).
1833792*p**4 - p**2 - 2
Let m(y) = 8*y**2 + 6*y. Let s(n) = 3*n - 114. Let d(o) = 91*o - 3591. Let l(p) = -2*d(p) + 63*s(p). What is m(l(q))?
392*q**2 + 42*q
Let t(k) = 21520*k**2. Let i(w) = 2*w - 24. Calculate i(t(r)).
43040*r**2 - 24
Let x(b) = -1. Let g(k) = k**2 - 6. Let s(p) = -g(p) + 6*x(p). Let d(m) be the second derivative of 1 + 0*m**2 + 0*m**3 + 7/12*m**4 + 19*m. Give d(s(q)).
7*q**4
Let s(y) = 14*y. Let k(c) = -136082*c**2 + 7*c. Calculate k(s(q)).
-26672072*q**2 + 98*q
Let z(j) = -197578613*j. Let u(h) = 2*h**2. Give u(z(n)).
78074616630007538*n**2
Let l(j) = 690503*j. Let b(x) = -9*x. Determine b(l(a)).
-6214527*a
Let t(k) = -2*k**2 - 2296. Let u(d) = -6*d**2 - 2*d + 1. Let f(z) = -23*z**2 - 8*z + 4. Let h(y) = -f(y) + 4*u(y). Determine t(h(m)).
-2*m**4 - 2296
Let r(u) = -14*u**2. Let z(k) be the second derivative of -k**4/6 - 55*k**2 - 2*k - 4520. Calculate z(r(i)).
-392*i**4 - 110
Let a(g) be the second derivative of g**4/2 - 2264*g. Let p(k) = -65*k. Determine p(a(n)).
-390*n**2
Let q(v) = -112908*v + 873. Let b(t) = -259*t + 2. Let m(y) = -873*b(y) + 2*q(y). Let s(f) = -f**2. Give s(m(p)).
-84681*p**2
Let a(s) = -2*s. Let q(h) = 29*h - 94684. Determine a(q(r)).
-58*r + 189368
Let i(j) = 0*j + 246*j**2 + 0*j - 102*j**2 - 175*j**2 + 1. Let q(d) = -24*d. What is q(i(f))?
744*f**2 - 24
Let m(d) = 30035*d**2. Let o(i) = -314*i. Calculate o(m(u)).
-9430990*u**2
Let s(o) = 31*o**2 + 5*o. Let q(x) = 392769*x. Determine s(q(h)).
4782292108191*h**2 + 1963845*h
Let m(j) = 192923*j. Let k(b) = -2559*b. Determine m(k(x)).
-493689957*x
Let b(s) = 511*s. Let w(v) = 12660*v. Determine w(b(d)).
6469260*d
Let t(l) be the third derivative of -l**5/5 + 2620*l**2. Let c(v) = 26*v**2 - 2. Determine t(c(m)).
-8112*m**4 + 1248*m**2 - 48
Let p(u) = -33*u**2. Let f(c) = 4*c**2 + 14*c + 21. Let i(n) = 4*n + 8*n - 3*n - 7*n + 9 + 4*n + 2*n**2. Let a(m) = 6*f(m) - 14*i(m). Determine p(a(o)).
-528*o**4
Let x(u) = -3*u**2 - 85*u + 288. Let z(h) = h**2 + 30*h - 97. Let d(m) = -6*x(m) - 17*z(m). Let f(r) = -5*r. What is d(f(i))?
25*i**2 - 79
Let y(n) = 47*n + 3. Let h(o) = 4*o - 73. Let f be h(19). Let p(z) = 236*z + 16. Let k(x) = f*p(x) - 16*y(x). Let m(i) = 2*i**2. What is m(k(a))?
3872*a**2
Let k(t) = 7*t + 5. Let c(b) = 12104*b**2 + 534*b - 9345. Let x(v) = -91*v**2 - 4*v + 70. Let m(d) = 2*c(d) + 267*x(d). What is k(m(n))?
-623*n**2 + 5
Let l(c) = -120 - 1181 - 2*c - 238. Let x(s) = -2*s**2. What is l(x(u))?
4*u**2 - 1539
Let p(u) = 265*u**2 - 2. Let m(w) = -5*w**2 - 1. Let d(h) = 4*m(h) - p(h). Let y(g) = -2*g**2. Determine d(y(c)).
-1140*c**4 - 2
Let c(j) be the first derivative of 2*j**3/3 + 6925. Let i(l) = 7*l**2 - 5*l + 5. Let a(p) = p**2 + p - 1. Let q(x) = -20*a(x) - 4*i(x). What is c(q(y))?
4608*y**4
Let o(p) be the second derivative of -23*p**3/6 + p**2 + 14*p - 19. Let b(w) = -15*w**2. Calculate b(o(f)).
-7935*f**2 + 1380*f - 60
Let y(z) = -z**2. Let p = -26 + 12. Let h = p - -17. Let q(r) = h*r - 2*r + 4*r. Determine y(q(i)).
-25*i**2
Let o(l) = -2482*l. Let g(x) = 40*x - 11. What is g(o(j))?
-99280*j - 11
Let o(n) = -6430*n**2 - 80*n - 320. Let d(i) = 714*i**2 + 9*i + 36. Let m(b) = -80*d(b) - 9*o(b). Let g(q) = q**2. Determine g(m(h)).
562500*h**4
Let f(y) = 274438*y**2 - 3. Let o(b) = -10*b. Determine o(f(j)).
-2744380*j**2 + 30
Let g(p) = p**2 - 6176*p. Let f(q) = -5123*q. Give g(f(y)).
26245129*y**2 + 31639648*y
Let h(o) = 2*o**2. Let c(m) be the third derivative of -1579*m**5/60 - m**3/3 + 53*m**2 - 2. Give h(c(f)).
4986482*f**4 + 12632*f**2 + 8
Let m(s) = -16752*s. Let i(w) = -3*w**2 - 32*w - 24. Let h(p) = p**2 + 12*p + 9. Let z(n) = 8*h(n) + 3*i(n). Give m(z(b)).
16752*b**2
Suppose -163 = 3*r - 598. Let i(g) = -r*g + 289*g - 147*g. Let d(c) = -10*c**2. What is d(i(b))?
-90*b**2
Let z(q) = 1929*q + 2626*q + 493*q + 229*q. Let l(t) = -2*t. What is l(z(w))?
-10554*w
Let v(g) = g**3 + 10*g**2 - 3*g - 19. Let m be v(-9). Let o = m - 65. Let f(h) = 72*h - 27*h - 22*h - o*h. Let k(a) = 9*a**2. Calculate f(k(s)).
-9*s**2
Let t(d) = 118*d - 117*d - 5*d**2 + 4*d**2 - 8*d**2. Let o(k) = 2*k**2. What is o(t(b))?
162*b**4 - 36*b**3 + 2*b**2
Let g(u) be the third derivative of -u**4/24 + 17*u**3/3 - u**2. Let c(z) = 9*z + 104*z - 154*z + 40*z. Determine g(c(b)).
b + 34
Let b(u) = -10*u. Let n(w) = 2124647*w. What is n(b(d))?
-21246470*d
Let j(t) = 6869*t. Let h(c) = -2653*c**2. Calculate h(j(q)).
-125176926133*q**2
Let p(o) be the third derivative of -o**5/20 + o**2 - 2*o - 610. Let k(g) be the third derivative of 13*g**5/20 - 5*g**2. Calculate p(k(b)).
-4563*b**4
Let u(g) be the second derivative of -5*g**4/12 - 5*g**3 - 38*g + 2. Let x(r) = -5*r**2 - 25*r. Let t(k) = 5*u(k) - 6*x(k). Let l(v) = -6*v - 1. Give l(t(z)).
-30*z**2 - 1
Let l(h) = -5*h**2. Let u(j) = -649776*j. What is l(u(x))?
-2111044250880*x**2
Let b(x) = -6*x**2. Let l(w) = -758*w**2 + 6*w. Let f(v) = 20464*v**2 - 160*v. Let g(s) = 3*f(s) + 80*l(s). Give b(g(q)).
-3393024*q**4
Let h(j) = 2*j**2. Let f(i) = -210*i - 23*i - 579*i. Calculate h(f(y)).
1318688*y**2
Let l(p) = 2*p. Suppose -4*a + 146 = 2*u, 0 = -a - 5*u + 40 + 10. Let d(t) = 2*t + 12 + 31 - a | {
"pile_set_name": "DM Mathematics"
} |
-257 in 2, -17/4, 1/4?
-17/4
Which is the nearest to 2/11? (a) 1/5 (b) 57 (c) 0.4
a
What is the closest to 0 in -1, 2/23, 1283, 5?
2/23
What is the nearest to 0 in -266, -1, -4/5, 0.1?
0.1
Which is the closest to 2/9? (a) -8/5 (b) 452 (c) 0.5 (d) 5 (e) 2
c
Which is the nearest to -2? (a) -1/37 (b) 5 (c) 92 (d) 1
a
What is the nearest to -2/9 in 0, 0.1001, -1/3?
-1/3
What is the closest to -4 in 0.1, -2/5, 5613?
-2/5
Which is the closest to -1/4? (a) 447 (b) 0.02 (c) -4
b
What is the closest to 6 in 22, -0.2, -8.6?
-0.2
What is the closest to 232 in 6, 0, -4/5, 64, -2/13?
64
What is the closest to 0.1 in 0.4, 0.2, 1/7, -23.1?
1/7
What is the nearest to 0.2842 in 3, 1, -1, 0.5, 14?
0.5
What is the nearest to -2 in -9/8, 5, 16, -0.11, -2/13?
-9/8
Which is the closest to 2? (a) 24 (b) 3/8 (c) -7/3 (d) -108
b
Which is the closest to -1/5? (a) 2 (b) -3 (c) 2.24 (d) 3 (e) 0.08
e
Which is the nearest to -0.064? (a) 0.2 (b) -2 (c) -164/3
a
Which is the nearest to 1? (a) -4 (b) 0 (c) 68 (d) 1/36
d
What is the nearest to -63 in 0.3, -9, 3/4, -3, 1.6?
-9
Which is the closest to 0.1? (a) 3 (b) -2 (c) -42/103
c
What is the closest to -292 in -0.1, 0.4, 29, -3?
-3
Which is the closest to -0.01? (a) 1/11 (b) 96 (c) -3/100
c
Which is the closest to 0.1? (a) -0.83 (b) -0.01953 (c) -0.5
b
What is the closest to -2/5 in 2/39, -2, -2/533, -3?
-2/533
Which is the closest to 0.1? (a) -0.3 (b) 696471 (c) -1/5
c
What is the nearest to -0.15 in -4, -14, 3, -5, -1?
-1
Which is the closest to -0.1? (a) -2/49 (b) -9 (c) -1 (d) 0.2
a
Which is the nearest to 1/2? (a) 1/8 (b) -8 (c) -1/13 (d) -3
a
Which is the nearest to -0.1? (a) -179 (b) -0.5 (c) -11 (d) -4
b
Which is the nearest to -2/9? (a) 270 (b) 43 (c) 0
c
Which is the closest to 0.1? (a) -2/5 (b) 5 (c) -0.5 (d) 846
a
What is the closest to 1 in -2/39, 5/4, 0.2, 2?
5/4
What is the nearest to -2 in 0.3, 0.2, -0.4, -12.8?
-0.4
Which is the closest to -1? (a) 5.3 (b) 0.1 (c) 0.044
c
What is the nearest to 713 in 0.4, -35, 2/9, -5?
0.4
Which is the nearest to -2/3? (a) 28 (b) -2/377 (c) -0.2 (d) -6
c
What is the closest to -2 in -4, -2.7, 0.4, 19?
-2.7
What is the nearest to 0 in 1/4, -2/9, -1/2, 37907?
-2/9
What is the nearest to -4 in 11, -1, 0.4, 1, -28?
-1
What is the nearest to -0.101 in -3/10, 1.7, -1?
-3/10
Which is the nearest to -1? (a) -0.49 (b) 8 (c) -1/4 (d) -2
a
What is the nearest to 0 in 97, 38, -5?
-5
What is the closest to -201 in -0.4, 972, -0.3?
-0.4
What is the closest to -2 in 0.2, -5, -0.2, -2, 10.8?
-2
Which is the closest to -0.1? (a) -0.32 (b) 3/2 (c) 11 (d) 12
a
What is the closest to 0.1 in -7, 2, -78/7?
2
What is the nearest to -1 in -2, 4, 75, -0.16?
-0.16
What is the closest to -2/3 in -570/17, -0.06, 19?
-0.06
What is the nearest to -0.18629 in 1/11, -4, -1, -14?
1/11
Which is the nearest to 3? (a) -0.12 (b) -1/27 (c) 0.2
c
Which is the nearest to -1/2? (a) 0.045 (b) -4 (c) 2/13 (d) 3/4
a
What is the closest to 2 in 12, 1, -0.9, 22, 5?
1
Which is the nearest to -2/9? (a) 5 (b) 3 (c) -0.3 (d) 2/7 (e) -0.04
c
What is the closest to 1 in 666, -9, 4, 2, 2/11?
2/11
Which is the nearest to 4102? (a) -0.1 (b) -5 (c) 2/5 (d) -1/12
c
Which is the nearest to 0? (a) -4 (b) -1964 (c) 1 (d) 0.3
d
What is the closest to -2/7 in 2, 16, 74.47?
2
What is the nearest to -58 in 7, 33, -1, -5, 1/3?
-5
What is the closest to 2/21 in 3/10, -9, 0, -0.03?
0
Which is the nearest to 0.2? (a) -0.3 (b) -6/743 (c) -35 (d) -1/12
b
Which is the nearest to -11? (a) 37.83 (b) 21 (c) -4
c
What is the nearest to 325 in -5, -1, 3, 0.2?
3
Which is the nearest to 23? (a) -68 (b) 2/3 (c) -5 (d) -1/4
b
Which is the closest to 1? (a) -16 (b) -2/19 (c) 1 (d) 15
c
Which is the nearest to -2/15? (a) 0.2 (b) -5 (c) 2/3 (d) 6/13 (e) 1/27
e
Which is the nearest to -2/3? (a) 23.7 (b) 3 (c) 0.5 (d) 3/7
d
Which is the nearest to 2? (a) -3 (b) 0 (c) 4768 (d) 5
b
What is the closest to -2/5 in 8, 77.7, 2/7?
2/7
Which is the nearest to -0.2? (a) 2/7 (b) -0.14 (c) -8
b
Which is the nearest to -2? (a) -3363/5 (b) -0.4 (c) 4 (d) 0.3
b
What is the closest to -14229 in 1/6, 1, 1/4, -2/5?
-2/5
What is the closest to 6 in 3.5, 12/19, -1/4?
3.5
What is the closest to -97.7 in 0.2, 4, -5/2?
-5/2
What is the closest to 2/7 in 22, -14/5, -2/3, -0.2, -1/3?
-0.2
Which is the nearest to -1? (a) -3935 (b) 7 (c) 1
c
What is the nearest to -1 in 2, 1/2, -245?
1/2
Which is the closest to 0.2? (a) 2/37 (b) 3 (c) 99 (d) 0.5
a
Which is the nearest to 1? (a) -2/17 (b) -4 (c) -252/209
a
What is the closest to 4 in 0.102, 48, 5?
5
What is the nearest to -3 in 1/4, -4, 3, 722?
-4
Which is the closest to 183? (a) 4 (b) 0.4 (c) 3 (d) 56
d
What is the closest to 1 in -9.4, 2, -94, -0.4?
2
What is the nearest to -3/5 in 3, -9/11, 2, 5, 0?
-9/11
Which is the nearest to 1/3? (a) 3 (b) 2697/7 (c) -1/5 (d) -4
c
What is the nearest to -1 in -10, 4, 0.5, 188?
0.5
Which is the nearest to 2089? (a) -0.2 (b) 7 (c) 0 (d) 2
b
What is the nearest to -1/4 in 31, -1.7, -0.024, 3?
-0.024
Which is the closest to 3? (a) -2/11 (b) -145 (c) 3/10 (d) 3
d
What is the nearest to -0.1 in 7/4, 1, -780, -0.1?
-0.1
Which is the nearest to 0.1? (a) -1/63 (b) -83 (c) 0.4 (d) -0.3
a
What is the closest to 82 in 7, -1.4, -0.2?
7
What is the closest to -0.2 in -0.01, 2/11, 0.4, -0.13?
-0.13
Which is the closest to 4? (a) 7 (b) 4 (c) 11 (d) 1/2
b
What is the closest to -1/5 in 11, 180, 5?
5
Which is the closest to -30/7? (a) 136 (b) -2 (c) -1/7 (d) -4
d
What is the closest to 6 in 16, 4/115, 1?
1
What is the closest to 0.16 in -2/21, 5, 39, -2/7?
-2/21
What is the closest to -25/3 in 4/9, 0, 19, -1?
-1
Which is the closest to 1? (a) -0.2 (b) 84/37 (c) 1
c
Which is the nearest to -1? (a) -1 (b) 3 (c) -16/15 (d) -571 (e) 3/4
a
Which is the closest to -8? (a) 2/7 (b) 2/21 (c) -26/41
c
What is the nearest to 0.1 in 3/7, -5, -3/25, 126, 1?
-3/25
What is the closest to 0 in 2, -1/2, 4, 0.209, 0.02?
0.02
What is the nearest to 564 in 5, 0, 0.3, -3?
5
What is the nearest to 0 in -5, 1/4, 166, -11, -2/11?
-2/11
Which is the closest to -0.03? (a) 1/11 (b) -3 (c) 6 (d) 4 (e) 1/4
a
Which is the closest to 14? (a) 10/13 (b) 1/5 (c) -4
a
Which is the closest to -25? (a) -2 (b) -4/3 (c) 4 (d) -0.2 (e) 5
a
What is the nearest to 1 in -6, -1746, 0.056?
0.056
Which is the closest to 35/3? (a) -14 (b) 8/5 (c) 0.1
b
Which is the nearest to -131? (a) -2 (b) 2 (c) -0.02
a
What is the nearest to -3/2 in 2/9, -0.2, -1288, 0.3, 0.6?
-0.2
Which is the closest to -0.097? (a) 20/7 (b) -3 (c) 1/3
c
What is the closest to 0.1 in 0.54, 2/5, 4, 2, 15?
2/5
Which is the nearest to -4/9? (a) -40 (b) 1 (c) 2/19 (d) -1/8 (e) 2/13
d
Which is the nearest to 4/9? (a) -0.031 (b) 2/9 (c) -2
b
What is the nearest to -0.1 in 49, -103, -2/17, 6/7?
-2/17
Which is the nearest to -3? (a) -3 (b) -0.05 (c) 1.6 (d) 2.6
a
What is the closest to -22 in -7, -3/5, 19/3, -0.1?
-7
Which is the closest to -3? (a) -12 (b) -13/14 (c) -3/5
b
What is the nearest to 3/5 in 0, -5.4, 2, 2/7, 5/4?
2/7
Which is the closest to -2/11? (a) -3/40 (b) -3.1 (c) 4 (d) -2/9
d
Which is the closest to -2? (a) -6 (b) 0.3 (c) -3 (d) -4 (e) -1/61
c
What is the nearest to -1 in -2336, 4, -0.9, 2/13?
-0.9
What is the nearest to 0 in -1, -2/3, 34/763, -4, 3/8?
34/763
Which is the nearest to -2? (a) 3 (b) -6 (c) -2 (d) -0.39 (e) -5
c
What is the closest to -2/7 in -4, -3.824, 5, 1?
1
What is the nearest to -1 in -1/45, -0.0704, -0.3, -3?
-0.3
What is the closest to 41 in -0.05, 2/7, 3/8?
3/8
Which is the closest to 0.1? (a) -7 (b) -38/9 (c) 9/8 (d) 0.5
d
Which is the nearest to 0? (a) 10/11 (b) 0.4 (c) -0.1 (d) -1138 (e) 3
c
Which is the closest to 14/23? (a) 5 (b) -4 (c) -0.2 (d) -0.4 (e) -8
c
What is the closest to -30 in -6, 2, 2/7, -13, -5?
-13
Which is the closest to 0.05? (a) -27 (b) -1 (c) 2/5 (d) 21
c
Which is the nearest to -1/2? (a) 4 (b) -2/7 (c) 160 (d) 5
b
Which is the closest to -0.1? (a) 1 (b) -21 (c) 5 (d) -66/5 (e) -2/3
e
What is the nearest to -1 in -0.4, -17, -491?
-0.4
Which is the nearest to 0.2? (a) 0 | {
"pile_set_name": "DM Mathematics"
} |
112342949.
112342949
List the prime factors of 72209177.
19, 61, 62303
List the prime factors of 1783177199.
337, 5291327
What are the prime factors of 94789977?
3, 17, 109331
What are the prime factors of 105584329?
23, 439, 10457
List the prime factors of 5320025.
5, 212801
What are the prime factors of 4435152224?
2, 138598507
List the prime factors of 79925630.
2, 5, 1109, 7207
List the prime factors of 111794955.
3, 5, 19, 392263
List the prime factors of 485000180.
2, 5, 7, 1297, 2671
List the prime factors of 35603458.
2, 11, 179, 9041
What are the prime factors of 234548218?
2, 17, 509, 13553
What are the prime factors of 863245867?
11, 19, 23, 179581
List the prime factors of 93033194.
2, 46516597
List the prime factors of 2897413542.
2, 3, 160967419
What are the prime factors of 20574643?
977, 21059
List the prime factors of 1430094689.
17, 139, 769, 787
What are the prime factors of 19630253?
163, 120431
List the prime factors of 86449734.
2, 3, 7, 19, 12037
What are the prime factors of 167027763?
3, 7, 1613, 4931
List the prime factors of 333521992.
2, 41690249
List the prime factors of 605615586.
2, 3, 47, 1031, 2083
What are the prime factors of 2188516258?
2, 157, 601, 11597
List the prime factors of 79138135.
5, 19, 833033
List the prime factors of 2020094867.
7, 288584981
List the prime factors of 1379681576.
2, 7, 13, 1895167
List the prime factors of 52414996.
2, 19, 283, 2437
What are the prime factors of 604885607?
604885607
What are the prime factors of 40008908?
2, 19, 103, 269
What are the prime factors of 1801818487?
7, 31, 101, 229, 359
What are the prime factors of 2187505411?
7, 13, 53, 139, 251
What are the prime factors of 19216592?
2, 23, 79, 661
List the prime factors of 2155186843.
269, 8011847
List the prime factors of 844955394.
2, 3, 233, 313, 1931
What are the prime factors of 117708721?
13, 593, 15269
What are the prime factors of 24432252?
2, 3, 13, 19, 8243
What are the prime factors of 383417015?
5, 23, 257, 12973
List the prime factors of 13020191.
13020191
What are the prime factors of 122884671?
3, 7, 13, 450127
What are the prime factors of 2252012886?
2, 3, 19, 6584833
List the prime factors of 1450691956.
2, 7, 51810427
List the prime factors of 255806474.
2, 7, 11, 103, 16127
What are the prime factors of 41435354?
2, 20717677
What are the prime factors of 422949475?
5, 13, 47, 27689
What are the prime factors of 25427025?
3, 5, 13, 8693
List the prime factors of 7845964.
2, 7, 79, 3547
List the prime factors of 178349294.
2, 43, 79, 26251
What are the prime factors of 408230702?
2, 11, 443, 41887
List the prime factors of 55355537.
79, 700703
List the prime factors of 478681562.
2, 137, 1747013
List the prime factors of 272456719.
2161, 126079
List the prime factors of 45414809.
11, 79, 4751
What are the prime factors of 5676253?
11, 516023
What are the prime factors of 194331142?
2, 5273, 18427
List the prime factors of 169207094.
2, 7, 1726603
List the prime factors of 894906779.
13, 269, 255907
List the prime factors of 159430690.
2, 5, 29, 79, 6959
What are the prime factors of 581136450?
2, 3, 5, 3874243
What are the prime factors of 236894236?
2, 151, 392209
List the prime factors of 1659488103.
3, 7, 13, 59, 61, 563
List the prime factors of 1381086963.
3, 47, 193, 5639
What are the prime factors of 117602574?
2, 3, 593, 33053
What are the prime factors of 30121055?
5, 1459, 4129
List the prime factors of 138372342.
2, 3, 113, 127, 1607
What are the prime factors of 24298385?
5, 397, 12241
List the prime factors of 32852759.
32852759
What are the prime factors of 38493501?
3, 61, 210347
List the prime factors of 78436710.
2, 3, 5, 11, 79229
What are the prime factors of 98416098?
2, 3, 11, 497051
What are the prime factors of 42803486?
2, 11, 67, 71, 409
What are the prime factors of 402051541?
1613, 249257
List the prime factors of 42063414.
2, 3, 7010569
What are the prime factors of 1853219713?
6469, 286477
List the prime factors of 9767515.
5, 1953503
What are the prime factors of 335465213?
335465213
What are the prime factors of 68083289?
19, 23, 155797
List the prime factors of 48773280.
2, 3, 5, 101611
What are the prime factors of 29041148?
2, 7260287
What are the prime factors of 51800456?
2, 6475057
What are the prime factors of 5152632937?
23, 3271, 68489
List the prime factors of 7667506.
2, 7, 11, 49789
What are the prime factors of 2229145435?
5, 11, 40529917
List the prime factors of 76272904.
2, 9534113
List the prime factors of 12896424.
2, 3, 37, 47, 103
What are the prime factors of 66518416?
2, 17, 244553
What are the prime factors of 41291694?
2, 3, 254887
List the prime factors of 887960828.
2, 221990207
What are the prime factors of 117216292?
2, 17, 1723769
List the prime factors of 1625795641.
23, 70686767
What are the prime factors of 340188644?
2, 41, 2074321
What are the prime factors of 593333269?
17, 73, 179, 2671
What are the prime factors of 110687454?
2, 3, 23, 41, 6521
List the prime factors of 261822814.
2, 11, 17, 311, 2251
What are the prime factors of 3075962684?
2, 23, 2441, 13697
List the prime factors of 6003405.
3, 5, 71, 1879
What are the prime factors of 30430009?
47, 409, 1583
What are the prime factors of 50536300?
2, 5, 79, 6397
What are the prime factors of 233444125?
5, 1867553
List the prime factors of 222662173.
149, 1494377
What are the prime factors of 8182412148?
2, 3, 41, 16630919
What are the prime factors of 61364345?
5, 7, 23, 31, 2459
What are the prime factors of 5768782160?
2, 5, 557, 129461
What are the prime factors of 12023522?
2, 7, 17, 1031
What are the prime factors of 34806191?
7, 17, 292489
What are the prime factors of 15616967?
15616967
List the prime factors of 312589327.
312589327
List the prime factors of 64119496.
2, 7, 241, 4751
List the prime factors of 1523315548.
2, 97, 109, 181, 199
List the prime factors of 340814986.
2, 8009, 21277
What are the prime factors of 22838578?
2, 7, 821, 1987
List the prime factors of 145447851.
3, 37, 61, 21481
List the prime factors of 151803304.
2, 37, 512849
What are the prime factors of 24104561?
13, 47, 39451
List the prime factors of 136451934.
2, 3, 7580663
List the prime factors of 52406304.
2, 3, 545899
What are the prime factors of 4349241353?
2957, 1470829
List the prime factors of 1477807.
1477807
List the prime factors of 41848518.
2, 3, 47, 148399
List the prime factors of 159874563.
3, 53291521
List the prime factors of 4214891243.
17, 23, 109, 98897
What are the prime factors of 560686771?
560686771
What are the prime factors of 1762344?
2, 3, 41, 199
What are the prime factors of 449137686?
2, 3, 74856281
What are the prime factors of 4148089852?
2, 163, 941, 6761
List the prime factors of 1124338357.
19, 3673, 16111
What are the prime factors of 726327076?
2, 97, 293, 6389
What are the prime factors of 59968627?
59968627
List the prime factors of 154614213.
3, 13, 101653
List the prime factors of 270802436.
2, 89, 173, 4397
List the prime factors of 906834356.
2, 19, 47, 127, 1999
List the prime factors of 43769857.
43769857
List the prime factors of 349939426.
2, 174969713
What are the prime factors of 1484659048?
2, 1303, 142427
List the prime factors of 495154925.
5, 23, 861139
List the prime factors of 905458344.
2, 3, 7, 619, 8707
What are the prime factors of 660718197?
3, 73413133
List the prime factors of 53147322.
2, 3, 2952629
List the prime factors of 25628508.
2, 3, 237301
List the prime factors of 51204791.
11, 19, 337, 727
List the prime factors of 69785134.
2, 2089, 16703
List the prime factors of 807250059.
3, 7, 11, 166409
What are the prime factors of 156890966?
2, 78445483
List the prime factors of 572273209.
409, 1399201
List the prime factors of 420286354.
2, 7573, 27749
List the prime factors of 286365514.
2, 143182757
What are the prime factors of 514746778?
2, 7, 13, 79, 35801
List the prime factors of 368101678.
2, 7, 37, 710621
What are the prime factors of 264999357?
3, 7, 467371
List the prime factors of 282549079.
282549079
List the prime factors of 214186098.
2, 3, 7, 5099669
List the prime factors of 3823343032.
2, 477917879
What are the prime factors of 234047908?
2, 17, 23, 263, 569
What are the prime factors of 112604026? | {
"pile_set_name": "DM Mathematics"
} |
remainder when 475863 is divided by 302.
213
What is the remainder when 1931280 is divided by 1472?
16
What is the remainder when 358473 is divided by 358214?
259
What is the remainder when 77254167 is divided by 930?
927
What is the remainder when 885498 is divided by 442731?
36
Calculate the remainder when 3844513 is divided by 320376.
1
Calculate the remainder when 469627 is divided by 14.
11
What is the remainder when 318176 is divided by 242?
188
What is the remainder when 654912 is divided by 2009?
1987
Calculate the remainder when 2231513 is divided by 243.
44
What is the remainder when 72784823 is divided by 367600?
23
What is the remainder when 10824082 is divided by 3814?
3764
Calculate the remainder when 131070 is divided by 14461.
921
What is the remainder when 373960 is divided by 46394?
2808
Calculate the remainder when 780405 is divided by 65028.
69
Calculate the remainder when 123380 is divided by 4717.
738
Calculate the remainder when 315805 is divided by 6570.
445
What is the remainder when 1844744 is divided by 1990?
14
Calculate the remainder when 3700 is divided by 1722.
256
Calculate the remainder when 3373360 is divided by 54408.
64
Calculate the remainder when 10722041 is divided by 517.
495
Calculate the remainder when 25141774 is divided by 1472.
14
What is the remainder when 365941 is divided by 85?
16
Calculate the remainder when 147132 is divided by 121.
117
Calculate the remainder when 41402 is divided by 30.
2
Calculate the remainder when 660067 is divided by 632.
259
What is the remainder when 5571969 is divided by 1369?
139
Calculate the remainder when 563160 is divided by 3146.
26
Calculate the remainder when 395718 is divided by 98851.
314
Calculate the remainder when 10480012 is divided by 5239998.
16
What is the remainder when 4599633 is divided by 34582?
227
Calculate the remainder when 38402 is divided by 9466.
538
Calculate the remainder when 655618 is divided by 1.
0
Calculate the remainder when 439761 is divided by 146571.
48
Calculate the remainder when 782668267 is divided by 386.
385
What is the remainder when 1966927 is divided by 1966335?
592
Calculate the remainder when 616545 is divided by 154130.
25
What is the remainder when 3677617 is divided by 34?
7
What is the remainder when 1941080 is divided by 603?
23
What is the remainder when 251531 is divided by 1463?
1358
Calculate the remainder when 174026 is divided by 6841.
3001
What is the remainder when 20724435 is divided by 431759?
3
What is the remainder when 133661 is divided by 644?
353
Calculate the remainder when 197121 is divided by 688.
353
What is the remainder when 41836 is divided by 20692?
452
What is the remainder when 323530 is divided by 7702?
46
Calculate the remainder when 27589 is divided by 3922.
135
Calculate the remainder when 7383980 is divided by 7383977.
3
What is the remainder when 8719026 is divided by 2137?
66
Calculate the remainder when 153806557 is divided by 10986182.
9
Calculate the remainder when 28049141 is divided by 185.
181
Calculate the remainder when 23502 is divided by 2643.
2358
Calculate the remainder when 193118268 is divided by 970.
968
Calculate the remainder when 1401166 is divided by 1481.
140
What is the remainder when 561428 is divided by 40101?
14
Calculate the remainder when 108625 is divided by 19814.
9555
What is the remainder when 124076 is divided by 7031?
4549
What is the remainder when 22658 is divided by 686?
20
What is the remainder when 113337 is divided by 1741?
172
What is the remainder when 1180425 is divided by 531?
12
Calculate the remainder when 1303975 is divided by 36221.
19
Calculate the remainder when 16018962 is divided by 77014.
50
Calculate the remainder when 39914358 is divided by 369.
366
What is the remainder when 269263 is divided by 1360?
1343
What is the remainder when 583548 is divided by 10603?
383
Calculate the remainder when 10044442 is divided by 5.
2
Calculate the remainder when 23279054 is divided by 21920.
14
Calculate the remainder when 6861 is divided by 817.
325
What is the remainder when 67788 is divided by 1189?
15
Calculate the remainder when 2968204 is divided by 6187.
4631
Calculate the remainder when 28811784 is divided by 4738.
6
What is the remainder when 5000481 is divided by 941?
7
Calculate the remainder when 2079466 is divided by 94.
92
What is the remainder when 87477639 is divided by 98?
95
Calculate the remainder when 45479938 is divided by 389.
3
What is the remainder when 623648 is divided by 207840?
128
Calculate the remainder when 546017 is divided by 303.
11
What is the remainder when 322178348 is divided by 3658?
3656
What is the remainder when 295717 is divided by 295227?
490
What is the remainder when 16065500 is divided by 168?
164
Calculate the remainder when 297299 is divided by 341.
288
What is the remainder when 1826815 is divided by 138?
109
Calculate the remainder when 187603916 is divided by 15950.
16
What is the remainder when 2642152 is divided by 2641835?
317
Calculate the remainder when 10568 is divided by 1917.
983
What is the remainder when 11522966 is divided by 344?
342
What is the remainder when 5507247 is divided by 1694?
53
What is the remainder when 883937 is divided by 6225?
6212
What is the remainder when 952741 is divided by 158790?
1
What is the remainder when 2982846 is divided by 4255?
91
What is the remainder when 62544 is divided by 15136?
2000
Calculate the remainder when 342921 is divided by 6593.
85
Calculate the remainder when 2325400 is divided by 218.
212
Calculate the remainder when 413649 is divided by 137840.
129
What is the remainder when 241604 is divided by 80525?
29
Calculate the remainder when 876089 is divided by 318.
317
Calculate the remainder when 30166 is divided by 26679.
3487
What is the remainder when 34747527 is divided by 34747523?
4
Calculate the remainder when 631580 is divided by 156.
92
Calculate the remainder when 21831008 is divided by 145540.
8
Calculate the remainder when 30677 is divided by 17.
9
What is the remainder when 8438288 is divided by 7?
5
What is the remainder when 69774 is divided by 150?
24
What is the remainder when 18216147 is divided by 2165?
2002
Calculate the remainder when 151859 is divided by 6983.
5216
What is the remainder when 5748513 is divided by 289?
14
What is the remainder when 4657661 is divided by 197?
187
What is the remainder when 30881868 is divided by 45?
33
What is the remainder when 100935131 is divided by 35?
31
What is the remainder when 87998 is divided by 8797?
28
Calculate the remainder when 5288434 is divided by 438.
22
What is the remainder when 1791276 is divided by 39806?
6
What is the remainder when 2879 is divided by 448?
191
What is the remainder when 331174 is divided by 2985?
2824
What is the remainder when 1166925 is divided by 123?
24
What is the remainder when 5499 is divided by 1524?
927
What is the remainder when 150242 is divided by 34?
30
Calculate the remainder when 1999369 is divided by 17538.
37
What is the remainder when 39066611 is divided by 4340733?
14
What is the remainder when 380888 is divided by 53745?
4673
Calculate the remainder when 177004 is divided by 177000.
4
What is the remainder when 280661 is divided by 512?
85
Calculate the remainder when 2693182 is divided by 112215.
22
Calculate the remainder when 7606877 is divided by 2535623.
8
Calculate the remainder when 291695 is divided by 219.
206
Calculate the remainder when 205740073 is divided by 95.
93
Calculate the remainder when 8923636 is divided by 13.
7
Calculate the remainder when 11444105 is divided by 468.
101
Calculate the remainder when 646354 is divided by 80793.
10
Calculate the remainder when 107615 is divided by 17935.
5
What is the remainder when 1905013 is divided by 2046?
187
What is the remainder when 151545 is divided by 151534?
11
Calculate the remainder when 994787 is divided by 211.
133
What is the remainder when 653417 is divided by 478?
469
What is the remainder when 18366341 is divided by 3061055?
11
What is the remainder when 460482805 is divided by 269?
266
What is the remainder when 13834510 is divided by 108082?
14
Calculate the remainder when 3251574 is divided by 1083856.
6
Calculate the remainder when 834120 is | {
"pile_set_name": "DM Mathematics"
} |
rder.
624, 80, -2, -18
Sort -11733, -14, -4, 5, 4.
-11733, -14, -4, 4, 5
Sort -2, -6, 123, 2 in ascending order.
-6, -2, 2, 123
Sort 0.5, -12, 61279 in decreasing order.
61279, 0.5, -12
Put 1, -16, 4, 65, 34, 3 in increasing order.
-16, 1, 3, 4, 34, 65
Put -21, -4/5, -73 in decreasing order.
-4/5, -21, -73
Put 69, 0, -57, 4 in decreasing order.
69, 4, 0, -57
Put 4, -14, -3, 5, -4 in increasing order.
-14, -4, -3, 4, 5
Put 8, 0.2, -157, 1 in descending order.
8, 1, 0.2, -157
Put -1, -5, -33, -2, -7 in decreasing order.
-1, -2, -5, -7, -33
Sort -13, -12, -4, 8, 2, 1 in ascending order.
-13, -12, -4, 1, 2, 8
Sort -1, 4, -2120, -2 in increasing order.
-2120, -2, -1, 4
Put 191, 7, 1, 4, -1 in descending order.
191, 7, 4, 1, -1
Sort 702, -215, -5, 2 in descending order.
702, 2, -5, -215
Put -6, 0, 3, -51, 1, -5 in decreasing order.
3, 1, 0, -5, -6, -51
Put 3, -24, -31/4, -2/3 in descending order.
3, -2/3, -31/4, -24
Put 0.1, 0.18, 4, 2, 8/7 in ascending order.
0.1, 0.18, 8/7, 2, 4
Sort -11, -613, -6, -5, 5, -1 in ascending order.
-613, -11, -6, -5, -1, 5
Put -0.017, -6, -3, 1, -0.04 in descending order.
1, -0.017, -0.04, -3, -6
Sort -26, 5, 12, -181.
-181, -26, 5, 12
Sort 3/4, -5, -0.19, -37 in descending order.
3/4, -0.19, -5, -37
Put 2, 260, -1, -11, 9 in decreasing order.
260, 9, 2, -1, -11
Sort -0.1, 2/5, -2/9, 38, -1.3.
-1.3, -2/9, -0.1, 2/5, 38
Put -105, 2/2889, -0.2 in decreasing order.
2/2889, -0.2, -105
Put -203, 419, 1 in increasing order.
-203, 1, 419
Put 11, -11, 215, 2, -1 in decreasing order.
215, 11, 2, -1, -11
Sort 0.2, 1652, 59 in descending order.
1652, 59, 0.2
Sort -5, -41, 13 in ascending order.
-41, -5, 13
Sort -0.1, -836/9, -61, 0.2, 0.1 in ascending order.
-836/9, -61, -0.1, 0.1, 0.2
Put 2, 4, 30986 in decreasing order.
30986, 4, 2
Sort -3, 169, -2, 4, -104 in decreasing order.
169, 4, -2, -3, -104
Sort 1, -3/4, 1/8, 408 in decreasing order.
408, 1, 1/8, -3/4
Put -5/58, 3, -0.0522, 2/3 in descending order.
3, 2/3, -0.0522, -5/58
Put -7/3, -3/4, 3/4, 0.05, -1/70 in descending order.
3/4, 0.05, -1/70, -3/4, -7/3
Sort -10860, -20, -5 in descending order.
-5, -20, -10860
Put 198/7, -2/11, 6, 11/4, 2/5 in increasing order.
-2/11, 2/5, 11/4, 6, 198/7
Sort -770, -2, -5, 35 in descending order.
35, -2, -5, -770
Sort -0.4, 1, 0.5, -117/4, 0.24 in descending order.
1, 0.5, 0.24, -0.4, -117/4
Put 226, 2, 139 in increasing order.
2, 139, 226
Put -88, 0, -2, -22, 18 in descending order.
18, 0, -2, -22, -88
Put -337, -2, -3, -4, 7 in decreasing order.
7, -2, -3, -4, -337
Sort -8485, -4/7, -0.5, 0.5, 2 in descending order.
2, 0.5, -0.5, -4/7, -8485
Sort 101, -2, -5, 5.
-5, -2, 5, 101
Put 4, -70, 1, 0, -2, -10 in increasing order.
-70, -10, -2, 0, 1, 4
Sort -0.06, -1/2, 5, 13, -12, -2.7.
-12, -2.7, -1/2, -0.06, 5, 13
Sort 1/3, 1/77, -19, -0.7 in ascending order.
-19, -0.7, 1/77, 1/3
Put -0.0368, -0.5, -85, -2 in increasing order.
-85, -2, -0.5, -0.0368
Sort 5, -13, 9, -11.
-13, -11, 5, 9
Sort -2/13, 0.2, 0.3, 1/11, 3/92 in ascending order.
-2/13, 3/92, 1/11, 0.2, 0.3
Sort -7, -2, 0, -16, -8, 14.
-16, -8, -7, -2, 0, 14
Sort 4, -0.004, 269 in increasing order.
-0.004, 4, 269
Sort 18, 0, -3, 11608.
-3, 0, 18, 11608
Put 1, 5, -132, 0, -4, -2 in descending order.
5, 1, 0, -2, -4, -132
Sort -3, -1, 2/5, -0.13, 1.4 in decreasing order.
1.4, 2/5, -0.13, -1, -3
Put -1, 28, 400 in ascending order.
-1, 28, 400
Put -1, 0, -4, 66132, 3 in descending order.
66132, 3, 0, -1, -4
Sort -4, 4, 154856 in descending order.
154856, 4, -4
Sort 4, -54, -85 in descending order.
4, -54, -85
Sort 0.31, -0.2, -2/5, -1.07, -0.3 in descending order.
0.31, -0.2, -0.3, -2/5, -1.07
Put -4, 3560, 22, 0, 4 in descending order.
3560, 22, 4, 0, -4
Put 58, -0.1, 2/29, -6/5 in ascending order.
-6/5, -0.1, 2/29, 58
Put 3, -1, -21, -3 in increasing order.
-21, -3, -1, 3
Put 3, -1713, -5 in descending order.
3, -5, -1713
Sort 0.12, -0.02, 8, 0.2, -101 in ascending order.
-101, -0.02, 0.12, 0.2, 8
Sort 6, 30, 0.1, -44, 3/4 in descending order.
30, 6, 3/4, 0.1, -44
Sort 1, -608, -34 in descending order.
1, -34, -608
Put 22181, 13, 0 in increasing order.
0, 13, 22181
Sort -206, 1, 2, 3 in increasing order.
-206, 1, 2, 3
Sort -3, -3/4, 141.2 in ascending order.
-3, -3/4, 141.2
Put 34, 3, -13, -4, 10 in decreasing order.
34, 10, 3, -4, -13
Put 8, 289, 2, 1, 1/6 in decreasing order.
289, 8, 2, 1, 1/6
Sort -0.4, 56, -316, -4, -3.
-316, -4, -3, -0.4, 56
Put 2/3, 23, 0.158 in decreasing order.
23, 2/3, 0.158
Sort -1, 3, 8, 0, 1327 in decreasing order.
1327, 8, 3, 0, -1
Put -4, -5, -1005, 9 in decreasing order.
9, -4, -5, -1005
Put 86, -3, -4 in increasing order.
-4, -3, 86
Sort 0.2, -0.2, 0.38, 1275, 0.5.
-0.2, 0.2, 0.38, 0.5, 1275
Put -1118, -2, 7, 3, 0 in increasing order.
-1118, -2, 0, 3, 7
Put 3, -154, -2, 2 in ascending order.
-154, -2, 2, 3
Sort -2, -1, -4, 335, -3, 0 in descending order.
335, 0, -1, -2, -3, -4
Sort 582, -5, 7, -3 in ascending order.
-5, -3, 7, 582
Sort -1, 4, -7, 14, -4, 5 in descending order.
14, 5, 4, -1, -4, -7
Sort 0.2, 3/41, 4/3, -1, -0.1, 2/27 in decreasing order.
4/3, 0.2, 2/27, 3/41, -0.1, -1
Sort 889, 2, 67, 3.
2, 3, 67, 889
Sort 1, -1144, -53 in increasing order.
-1144, -53, 1
Sort 7496, -6, -5 in descending order.
7496, -5, -6
Put 0.79, -0.35, -2 in ascending order.
-2, -0.35, 0.79
Put -1/2, -1, 5, 0.1, 212, 3/7 in descending order.
212, 5, 3/7, 0.1, -1/2, -1
Put 6, -545, -1/9, 0.3, 1/8 in descending order.
6, 0.3, 1/8, -1/9, -545
Sort -2, -13, 17, -4.
-13, -4, -2, 17
Put -2/93, 2688, -2 in increasing order.
-2, -2/93, 2688
Sort 37, -16, -2, 2, -4 in ascending order.
-16, -4, -2, 2, 37
Sort -8, -23, -30 in increasing order.
-30, -23, -8
Sort 6, 862, -38 in decreasing order.
862, 6, -38
Sort -7, -3, -58, -189 in decreasing order.
-3, -7, -58, -189
Sort -3, -9, 1, 2, -40.
-40, -9, -3, 1, 2
Put 3/8, -7/8, -7/2, 5/12, 5 in descending order.
5, 5/12, 3/8, -7/8, -7/2
Put 2/19, -0.0584, 0.5 in decreasing order.
0.5, 2/19, -0.0584
Sort -3707, -8, -2.
-3707, -8, -2
Put 4/5, 4, 5/6, -18, -0.5, -2/3 in increasing order.
-18, -2/3, -0.5, 4/5, 5/6, 4
Sort 5, -242, -1, -67, -2.
-242, -67, -2, -1, 5
Put -5, 6, 4, -7, 106, -2 in ascending order.
-7, -5, -2, 4, 6, 106
Sort 17/4, -0.1087, -5.
-5, -0.1087, 17/4
Put -0.19, -3, 0.719, 32 in descending order.
32, 0.719, -0.19, -3
Sort -1035, -3, 8 in decreasing order.
8, -3, -1035
Sort -6, -1/17, -0.09, -0.5.
-6, -0.5, -0.09, -1/17
Put 36, 7, 2, 1, 5 in descending order.
36, 7, 5, 2, 1
Put 3, 421, -3 in ascending order.
-3, 3, 421
Put -134, 2, 4, -4, -1, 3 in decreasing order.
4, 3, 2, -1, -4, -134
Put 2/87, 0.3, 5 in ascending order.
2/87, 0.3, 5
Put -34, 1, 62, 92, -4 in ascending order.
-34, -4, 1, 62, 92
Put 1, -3, -2718 in increasing order.
-2718, -3, 1
Put -147, -2, -286 in increasing order.
-286, -147, -2
Sort 0, -1, 0.07, 0.1406, -0.2 in descending order.
0.1406, 0.07, 0, -0.2, -1
Sort -1, 4, 81, 181.
-1, 4, 81, 181
Put -5, 315, -4, -1 in decreasing order.
315, -1, -4, -5
Sort 9, 1/8, 2/5, 3, 0.07, -293 in descending order.
9, 3, 2/5, 1/8, 0.07, -293
Put 166, -5, 1/4, 1990 in increasing order.
-5, 1/4, 166, 1990
Put -5, -144, -523 in descending order.
-5, -144, -523
Sort 29, 5, 4, 36, -6 in descending order.
36, 29, 5, 4, -6
Sort 2, -112, 55/7, -9 in decreasing order.
55/7, 2, -9, -112
Sort 0.197113, 3, 6 in decreasing order.
6, 3, 0.197113
Put -40, -5, -0.236, -4/7, 0 in increasing order.
-40, -5, -4/7, -0.236, 0
Put 9, -0.1, 1/5, 2, -3, 0.29 in descending order.
9, 2, 0.29, 1/5, -0.1, -3
Put 1/7, 3, 4, 8, 1/9, -4 in ascending order.
-4, 1/9, 1/7, 3, 4, 8
Put 11, 778, 6 in descending order.
778, 11, 6
Sort -2/5, -0.5, -153364.
-153364, -0.5, -2/5
Sort 0.115, 8, 5 in ascending order.
0.115, 5, 8
Sort 5, -1, 2, 246, -4, -8.
-8, -4, -1, 2, 5, 246
Sort -4158, -105, -2 in ascending order.
-4158, -105, -2
Put 0.25, -2, 5, -3/4, 0.2, 602/25 in decreasing order.
602/25, 5, 0.25, 0.2, -3/4, -2
Put 5, -3, 33, -39, 2 in decreasing order.
33, 5, 2, -3, -39
Put 4, 29, -2042, -4 in decreasing order.
29, 4, -4, -2042
Sort 16, -263, -2, -4 in descending order.
16, -2, -4, -263
Sort 20, 0.19, -3, -19, 1/2 in increasing order.
-19, -3, 0.19, 1/2, 20
Sort 3/16, -3/4, 0.1, 0.3, 131, 3 in increasing order.
-3/4, 0.1, 3/16, 0.3, 3, 131
S | {
"pile_set_name": "DM Mathematics"
} |
2 - 17*a - 6725. Determine b(64).
379
Let h(p) = -72562*p - 653032. Give h(-9).
26
Let k(l) = -16*l**2 + 2382*l - 33890. What is k(16)?
126
Let a(n) = -8921*n**2 + 214118*n - 330. Determine a(24).
6
Let s(l) = -3*l**3 + 37*l**2 + 317*l - 3827. What is s(11)?
144
Let z(p) = -p**3 + 30*p**2 - 316*p + 1166. What is z(16)?
-306
Let o(v) = v**3 + 141*v**2 - 15357*v - 2142667. Give o(-145).
-2
Let d(a) = -147*a**2 + 7721*a - 38601. Give d(5).
-3671
Let x(u) = u**3 + 38*u**2 - 17*u + 682. What is x(-39)?
-176
Let f(z) = -1685*z - 20213. Determine f(-12).
7
Let n(m) = -2*m**3 + 169*m**2 + 422*m + 1053. Determine n(87).
-78
Let s(a) = -29*a**3 - 8346*a**2 + 1688*a - 11529. Calculate s(-288).
-9
Let a(n) = -n**3 + n**2 + 5851*n - 86. Give a(-76).
-10
Let s(z) = 7*z**3 - 499*z**2 + 4755*z - 907. What is s(60)?
-7
Let a(g) = g**2 - 3513452*g + 7026904. Give a(2).
4
Let b(c) = 24*c**3 - 4*c**2 + 559*c - 2192. Determine b(4).
1516
Let t(u) = -90*u**2 - 82*u + 26. Calculate t(-1).
18
Let r(k) = k**2 + 423*k + 23894. Determine r(-67).
42
Let k(a) = 23*a**2 + 10339*a + 5471. Give k(-449).
83
Let t(j) = 49*j**3 + 2056*j**2 + 1698*j + 74851. Determine t(-42).
7
Let d(x) = x**3 + 13*x**2 + 60*x + 16. Calculate d(-7).
-110
Let d(a) = -9*a**2 - 213*a + 61. What is d(-18)?
979
Let x(t) = -3072*t + 76799. Give x(25).
-1
Let j(n) = -n**3 + 22*n**2 + 130*n + 21. Determine j(-5).
46
Let w(p) = 8*p**2 - 56*p - 57. Give w(-4).
295
Let f(u) = -1975*u - 1973. Determine f(-1).
2
Let a(s) = -s**3 - 109*s**2 - 519*s - 204. Determine a(-104).
-308
Let g(b) = b**3 - 17*b**2 - 395*b + 6147. Give g(15).
-228
Let n(v) = 3354*v - 1217500. Determine n(363).
2
Let b(p) = -89*p**3 - 4*p**2 - 204*p - 201. Give b(-1).
88
Let x(b) = -b**2 - 350928*b + 1403742. What is x(4)?
14
Let j(g) = 66*g + 20735. Calculate j(-314).
11
Let w(h) = 31*h**3 + 11*h**2 + 22930*h - 22940. Determine w(1).
32
Let q(s) = -s**2 + 1866*s - 69460. Calculate q(38).
4
Let k(t) = 26632*t - 159874. What is k(6)?
-82
Let m(c) = 10856*c - 6774210. Give m(624).
-66
Let r(v) = -270*v**2 - 4062*v - 181. What is r(-15)?
-1
Let h(f) = -11*f + 746. Give h(64).
42
Let n(m) = 6*m**2 - 930*m + 24720. Calculate n(34).
36
Let y(g) = -4*g**3 - 305*g**2 + 554*g + 47851. Calculate y(-76).
-29
Let x(p) = -p**3 - 48*p**2 + 266*p + 12774. Determine x(-48).
6
Let f(y) = -15*y**2 + 171*y + 1129. Calculate f(16).
25
Let h(u) = 424*u**2 + 1259*u - 67. Calculate h(-3).
-28
Let n(k) = -k**3 - 14*k**2 + 215*k + 884. Calculate n(-22).
26
Let z(y) = 9*y**3 - 5*y**2 - 63*y + 332. What is z(8)?
4116
Let y(z) = -4034*z + 129076. What is y(32)?
-12
Let h(s) = -467*s + 3679. Determine h(8).
-57
Let v(a) = 437*a + 108786. Calculate v(-249).
-27
Let c(h) = 1453*h - 4091. Determine c(3).
268
Let t(r) = -1042*r + 245356. Calculate t(236).
-556
Let p(g) = -g**3 + 18*g**2 + 121*g - 2512. What is p(16)?
-64
Let a(w) = 6*w**2 + 448*w + 2766. Calculate a(-6).
294
Let g(n) = 5*n**2 - 1364*n + 9354. Give g(7).
51
Let h(u) = 12*u**2 - 2361*u - 7096. Calculate h(-3).
95
Let k(m) = -1383*m**2 - 2658*m. Calculate k(-2).
-216
Let p(s) = 1767*s + 1390638. What is p(-787)?
9
Let y(s) = 4078*s + 17580. Give y(-6).
-6888
Let c(s) = -1748*s + 129337. Give c(74).
-15
Let y(i) = -7*i**2 - 3026*i + 6044. Give y(2).
-36
Let c(v) = 251597*v - 2264368. Determine c(9).
5
Let u(d) = 17*d**3 - 70*d**2 + 24*d + 82. Give u(-4).
-2222
Let o(p) = 8829*p + 1050646. Calculate o(-119).
-5
Let a(q) = 26*q**3 + 20*q**2 - 48*q - 2. Calculate a(2).
190
Let b(g) = -7711*g + 130949. Determine b(17).
-138
Let d(i) = i**2 + 597*i - 32177. What is d(50)?
173
Let t(v) = -v**3 + 59*v**2 + 98*v + 1387. Calculate t(61).
-77
Let c(b) = -5*b**3 + 153*b**2 + 2047*b + 136. Calculate c(-10).
-34
Let c(w) = -4*w**3 - 348*w**2 - 3601*w - 157. Give c(-75).
-82
Let y(x) = 2562*x**2 + 3133*x + 3134. Determine y(-1).
2563
Let n(r) = -4*r**2 - 16085*r - 463105. Calculate n(-29).
-4
Let f(y) = -25*y**3 - 49*y - 50. What is f(-1)?
24
Let z(n) = -38692*n + 178. What is z(0)?
178
Let x(u) = 5*u**3 + 125*u**2 + 689*u + 2433. What is x(-19)?
172
Let a(p) = -211982*p - 3603696. Give a(-17).
-2
Let k(d) = -12*d**3 - 7794*d**2 + 3918*d + 11705. What is k(-650)?
5
Let t(f) = 7600*f + 357175. What is t(-47)?
-25
Let m(q) = 2*q**2 - 1556*q - 12545. Determine m(-8).
31
Let l(s) = -s**3 - 11*s**2 + 51*s - 73. What is l(-14)?
-199
Let w(s) = -8436*s + 41955. Give w(5).
-225
Let c(g) = -4*g**3 + 56*g**2 - 212*g + 258. Calculate c(9).
-30
Let m(v) = -v**3 + 9*v**2 + 618*v - 7077. Determine m(12).
-93
Let u(g) = g**2 + 47*g - 1293. What is u(-61)?
-439
Let l(f) = -f**2 - 172*f - 2150. Give l(-157).
205
Let v(p) = 27187*p + 27222. Give v(-1).
35
Let z(c) = -c**3 - 9*c**2 - 13*c - 104. Determine z(-8).
-64
Let c(q) = 619*q + 229041. Give c(-370).
11
Let h(o) = -9*o**2 - 13306*o + 66510. Calculate h(5).
-245
Let c(j) = j**2 - 747*j + 37656. What is c(54)?
234
Let g(u) = -14159*u + 1269. What is g(0)?
1269
Let s(t) = 146*t - 5592. Calculate s(54).
2292
Let u(p) = p**2 + 1252*p - 646416. Give u(393).
69
Let i(p) = -1992*p**2 + 6*p + 22. Give i(1).
-1964
Let f(j) = 6845*j + 3935865. Give f(-575).
-10
Let m(r) = -2082*r + 6658. What is m(2)?
2494
Let l(b) = -2683*b + 810258. What is l(302)?
-8
Let p(i) = 10*i**2 - 1013*i + 23296. Give p(66).
-2
Let h(u) = -u**3 + 10*u**2 + 1013*u + 3401. What is h(-25)?
-49
Let i(h) = 163064*h - 1956774. Calculate i(12).
-6
Let p(d) = -25*d**3 - d**2 - 42*d + 127. Give p(3).
-683
Let o(l) = 3192*l + 5789. What is o(-3)?
-3787
Let z(v) = 175997*v - 352007. Calculate z(2).
-13
Let k(v) = 501*v**3 + v**2 + 404*v - 404. Determine k(1).
502
Let x(r) = r**2 - 4173*r + 2378048. Give x(681).
-4
Let q(w) = 653*w - 5481. Give q(7).
-910
Let j(n) = -126811*n + 1141311. Determine j(9).
12
Let c(t) = 531*t - 57396. Calculate c(108).
-48
Let v(l) = 2*l**2 - 6315*l + 37830. Calculate v(6).
12
Let t(x) = 6*x**2 - 50860*x - 254453. Give t(-5).
-3
Let z(y) = 40*y**2 + 7360*y + 156. Determine z(-184).
156
Let q(v) = -v**2 + 5230*v + 109879. What is q(-21)?
-392
Let t(w) = 1453*w + 21812. Determine t(-15).
17
Let r(z) = z**3 + 105*z**2 - 5053*z - 822. Give r(36).
6
Let r(s) = 6*s**2 - 743*s + 12135. What is r(19)?
184
Let f(b) = 26*b**2 - 224*b + 27. Give f(10).
387
Let w(a) = 279*a + 328. Give w(-4).
-788
Let u(j) = 7*j**3 + 1567*j**2 + 1343*j + 1206. Give u(-223).
91
Let v(t) = 414370*t - 1657492. What is v(4)?
-12
Let d(o) = 380*o**2 + 12*o + 16. Determine d(-1).
384
Let d(t) = t**3 - 139*t**2 + 50*t + 12185. Determine d(138).
41
Let o(s) = 20747*s - 145243. What is o(7)?
-14
Let s(m) = -494*m - 268. Calculate s(-2).
720
Let d(x) = -75*x**2 - 3139*x + 364. Calculate d(-42).
-98
Let u(k) = k**2 - 646*k - 133843. Give u(-165).
-28
Let w(y) = -96*y**2 + 1977*y - 2917. Calculate w(19).
-10
Let y(f) = f**3 - 83*f**2 - 415*f + 13478. What is y(86)?
-24
Let q(w) = 37*w**2 - 504*w + 474. Give q(1).
7
Let h(u) = -2757*u + 10981. Give h(4).
-47
Let k(j) = -1683*j - 62611. What is k(-37)?
-340
Let m(b) = -3*b**3 + 106*b**2 - 475*b + 496. Give m(3).
-56
Let h(o) = 35732*o - 142930. Determine h(4).
-2
Let t(c) = 11*c + 1405. Give t(-30).
1075
Let q(l) = l**2 - 160*l + 4443. What is q(138)?
1407
Let p(v) = -96*v**2 - 502*v - 1520. What is p(-3)?
-878
Let c(h) = -11*h**2 + 692*h - 1982. Give c(3).
-5
Let h(j) = 80621*j + 241868. What is h(-3)?
5
Let d(w) = 8*w**3 + 60*w + 127. Give d(-5).
-1173
Let u(f) = f**2 + 16491*f + 1443468. Determine u(-88).
4
Let m(p) = 219*p + 2396. Give m(-12).
-232
Let f(s) = -2*s**2 + 537*s - 27717. Calculate f(70).
73
Let r(x) = -x**3 + 33*x**2 + 25866*x - 778674. What is r(30)?
6
Let t(i) = -i**3 + 12*i**2 - 127*i + 1840. Calculate t(13).
20
Let z(w) = 7*w**2 + 46337*w + 831786. Calculate z(-18).
-12
Let j(m) = -m**3 - 13*m**2 + 1288*m - 46. Determine j(-43).
40
Let l(z) = z**2 + 76013*z + 152023. Calculate l(-2).
1
Let p(d) = 239*d**2 + 1204*d + 61. Calculate p(-5).
16
Let x(m) = -m**3 + 17*m**2 + 430*m + 429. What is x(-13)?
-91
Let t(c) = -6*c**3 - 34*c**2 - 306*c - 1865. Calculate t(-6).
43
Let n(d) = -596*d - 4155. Calculate n(-7).
17
Let q(f) = -6*f**2 - 8177*f - 512309. Calculate q(-1297).
6
Let x(c) = 632*c - 347693. What is x(550)?
-93
Let x(r) = 105*r**2 - 12*r + 16. Give x(3).
925
Let t | {
"pile_set_name": "DM Mathematics"
} |
e?
False
Is 25247 prime?
True
Is 123341 prime?
True
Is 8219 a prime number?
True
Is 4553 prime?
False
Is 139879 a prime number?
False
Is 147685 a composite number?
True
Is 223207 prime?
True
Is 38431 a composite number?
False
Is 118619 a composite number?
False
Is 562269 a prime number?
False
Is 88463 a composite number?
False
Is 20249 a composite number?
False
Is 75817 a composite number?
True
Is 4754 a composite number?
True
Is 15541 composite?
False
Is 10211 composite?
False
Is 721 prime?
False
Is 38089 composite?
True
Is 240299 a prime number?
False
Is 34027 composite?
True
Is 4631017 a composite number?
False
Is 1531743 a prime number?
False
Is 58021 a prime number?
False
Is 3983 a prime number?
False
Is 744493 a composite number?
False
Is 11915 prime?
False
Is 1045081 a prime number?
True
Is 54515 a prime number?
False
Is 133583 a composite number?
False
Is 1931 prime?
True
Is 11791 prime?
False
Is 1343053 composite?
True
Is 126163 composite?
True
Is 7379 a prime number?
False
Is 145303 prime?
True
Is 489194 composite?
True
Is 9511 composite?
False
Is 1699001 a composite number?
False
Is 397483 prime?
False
Is 104903 a prime number?
False
Is 1283 a prime number?
True
Is 21367 composite?
True
Is 216093 a composite number?
True
Is 4783 a composite number?
False
Is 6122 a composite number?
True
Is 217409 prime?
True
Is 42869 a prime number?
False
Is 7151 composite?
False
Is 17691 prime?
False
Is 3793921 prime?
True
Is 70607 a prime number?
True
Is 3048703 a composite number?
True
Is 3694 a prime number?
False
Is 6583 a prime number?
False
Is 61441 prime?
True
Is 108581 prime?
False
Is 57461 a prime number?
False
Is 552659 composite?
False
Is 44399 composite?
True
Is 16249 a prime number?
True
Is 17077 prime?
True
Is 93851 prime?
True
Is 1979 a prime number?
True
Is 5306737 a prime number?
False
Is 14621 a prime number?
True
Is 1475365 prime?
False
Is 78301 a prime number?
True
Is 1361 prime?
True
Is 228829 composite?
False
Is 127481 prime?
True
Is 159533 prime?
False
Is 8339 prime?
False
Is 2627 prime?
False
Is 104459 a prime number?
True
Is 220541 a composite number?
True
Is 15493 a composite number?
False
Is 1522 prime?
False
Is 511889 prime?
False
Is 50363 prime?
True
Is 49079 prime?
False
Is 68533 a composite number?
True
Is 253 a composite number?
True
Is 1373521 composite?
False
Is 1261253 composite?
True
Is 97771 composite?
False
Is 16301 a prime number?
True
Is 701 a composite number?
False
Is 2435 a prime number?
False
Is 10481 a composite number?
True
Is 126253 a composite number?
True
Is 31991 prime?
True
Is 15634 a composite number?
True
Is 221393 composite?
False
Is 3859 a prime number?
False
Is 4453349 a prime number?
True
Is 9647 composite?
True
Is 139543 a prime number?
False
Is 2741 a prime number?
True
Is 5583 prime?
False
Is 3518 composite?
True
Is 1369 a prime number?
False
Is 120011 a prime number?
True
Is 4609 a composite number?
True
Is 47777 prime?
True
Is 2159 prime?
False
Is 6606335 prime?
False
Is 13027 prime?
False
Is 6863 a prime number?
True
Is 27527 a prime number?
True
Is 2028127 a composite number?
True
Is 17957 a composite number?
False
Is 13309 prime?
True
Is 3763 composite?
True
Is 5939 prime?
True
Is 379 a composite number?
False
Is 2204753 composite?
True
Is 4357 a composite number?
False
Is 107171 prime?
True
Is 831293 a composite number?
True
Is 82021 composite?
False
Is 3746 prime?
False
Is 52373 prime?
False
Is 266909 prime?
True
Is 126653 composite?
False
Is 238573 composite?
False
Is 1361 a composite number?
False
Is 39313 a composite number?
False
Is 17833 prime?
False
Is 4886501 a prime number?
True
Is 218359 a prime number?
False
Is 34157 prime?
True
Is 69593 a prime number?
True
Is 46597 composite?
True
Is 23447 a prime number?
True
Is 46327 prime?
True
Is 60563 a prime number?
False
Is 402637 a composite number?
True
Is 21 a prime number?
False
Is 15397 prime?
False
Is 112699 a composite number?
True
Is 72211 a composite number?
False
Is 716249 prime?
True
Is 619933 prime?
False
Is 397473 a composite number?
True
Is 3847 composite?
False
Is 160933 composite?
False
Is 229399 prime?
True
Is 1847 a composite number?
False
Is 14233 composite?
True
Is 16411 a composite number?
False
Is 11401 composite?
True
Is 26293 a prime number?
True
Is 526151 a prime number?
False
Is 44927 composite?
False
Is 947167 composite?
True
Is 18323 prime?
False
Is 14621 a prime number?
True
Is 62817 prime?
False
Is 4493 a composite number?
False
Is 449 composite?
False
Is 169 prime?
False
Is 8663 composite?
False
Is 769 prime?
True
Is 23323 prime?
False
Is 482722 a prime number?
False
Is 7063 composite?
True
Is 16273 composite?
False
Is 32869 composite?
False
Is 24163 a prime number?
False
Is 16657 a prime number?
True
Is 134267 composite?
True
Is 75373 composite?
True
Is 1411 prime?
False
Is 408607 a composite number?
False
Is 52807 a prime number?
True
Is 838667 a composite number?
False
Is 457 prime?
True
Is 15685 a prime number?
False
Is 2043467 prime?
True
Is 31051 a composite number?
False
Is 1896407 prime?
True
Is 77819 a composite number?
True
Is 119359 a prime number?
True
Is 30931 composite?
False
Is 3389 composite?
False
Is 57871 a composite number?
True
Is 104087 prime?
True
Is 25549 composite?
True
Is 226934 prime?
False
Is 11369 a prime number?
True
Is 1009 a prime number?
True
Is 4578211 prime?
False
Is 10513 prime?
True
Is 9517 a prime number?
False
Is 125167 composite?
True
Is 11699 prime?
True
Is 110017 a composite number?
False
Is 24829 a prime number?
False
Is 20759 composite?
False
Is 919337 a prime number?
True
Is 882541 composite?
True
Is 858563 composite?
False
Is 12841 a prime number?
True
Is 30047 composite?
False
Is 32919 a prime number?
False
Is 94889 a prime number?
True
Is 1023163 composite?
False
Is 667649 a prime number?
True
Is 7613 composite?
True
Is 24394 composite?
True
Is 257639 prime?
True
Is 2018 a composite number?
True
Is 105613 prime?
True
Is 17203 a composite number?
False
Is 243833 a prime number?
False
Is 22771 a composite number?
True
Is 728881 composite?
False
Is 7067 composite?
True
Is 1677103 a composite number?
True
Is 1941 a composite number?
True
Is 15559 composite?
False
Is 209921 prime?
False
Is 8663 composite?
False
Is 94099 prime?
True
Is 9871 a composite number?
False
Is 19181 a composite number?
False
Is 755473 a composite number?
False
Is 30869 composite?
False
Is 168619 composite?
True
Is 1847 composite?
False
Is 950809 a composite number?
False
Is 445 a prime number?
False
Is 263 a composite number?
False
Is 156311 a prime number?
False
Is 161201 a composite number?
False
Is 515621 a prime number?
True
Is 15613 a composite number?
True
Is 676501 a prime number?
False
Is 57842 a composite number?
True
Is 149953 composite?
False
Is 272249 composite?
False
Is 23971 a composite number?
False
Is 7985 prime?
False
Is 30454 a prime number?
False
Is 1251287 prime?
True
Is 6761 a prime number?
True
Is 1226 a prime number?
False
Is 529097 a prime number?
True
Is 1595701 a prime number?
True
Is 70402 a composite number?
True
Is 50831 a prime number?
False
Is 455071 a composite number?
True
Is 546293 a prime number?
False
Is 843214 a composite number?
True
Is 418193 a composite number?
True
Is 20089 composite?
False
Is 17087 prime?
False
Is 151531 a prime number?
True
Is 24901 prime?
False
Is 669847 a prime number?
True
Is 74071 composite?
False
Is 143371 prime?
False
Is 10129 a prime number?
False
Is 74797 a composite number?
False
Is 60373 composite?
False
Is 437 a prime number?
False
Is 122123 a composite number?
True
Is 9917 composite?
True
Is 135559 composite?
False
Is 9649 composite?
False
Is 2933547 composite?
True
Is 122633 composite?
True
Is 325661 a composite number?
True
Is 95971 a prime number?
True
Is 4327 a prime number?
True
Is 63809 prime?
True
Is 627197 a prime number?
True
Is 19121 composite?
False
Is 31007 a prime number?
False
Is 6995 composite?
True
Is 1969 composite?
True
Is 2371 a composite number?
False
Is 11449 a composite number?
True
Is 14659 prime?
False
Is 449821 a prime number?
True
Is 1345 a composite number?
True
Is 18586 composite?
True
Is 4139 a composite number?
False
Is 1775261 composite?
False
Is 569651 a prime number?
False
Is | {
"pile_set_name": "DM Mathematics"
} |
he closest to 0 in 1, 0.2, v?
0.2
Let i = -6630 - -6625. Which is the nearest to -15? (a) -4 (b) i (c) -0.2
b
Let y = -0.0808 + 358.5808. Let z = y + -294. Let p = -65 + z. What is the nearest to 2 in p, 0.1, 0?
0.1
Suppose 2*n - 3*n = 0. Let c = 71994 + -143989/2. What is the closest to c in 5, 1, n?
n
Let m = 3101 - 3102. Which is the closest to -9? (a) 5 (b) 0.1 (c) -0.2 (d) m
d
Let i = -258.56 - -255.56. What is the closest to 3 in -69, -4/3, i?
-4/3
Let t = -1843 + 1843.04. Let d = -0.06 - -0.56. Which is the closest to -2/3? (a) t (b) 3 (c) d
a
Let f = 25918 - 25915.36. What is the closest to 4/13 in -0.4, 0.3, f?
0.3
Let w be ((-15)/35)/((-20)/70). What is the nearest to -1/3 in w, 1/253, 4?
1/253
Let x = 80 - -154. Let u = x + -236. What is the nearest to -2/3 in -4, u, -0.1?
-0.1
Let o = -112.576 + 113. Let x = o + -0.424. Let l = 2 + -3. What is the closest to l in x, 4, -2/9?
-2/9
Let f = 1113.6 + -1112.3. Which is the nearest to -0.1? (a) -11 (b) 4 (c) -0.5 (d) f
c
Let z = 71/7 + -10. Let w be (0 - 1)/((-4)/((-7408)/12)). Let j = w - -154. Which is the nearest to -2? (a) j (b) z (c) 0.3
a
Let t = 4284 + -4287. What is the nearest to 88 in t, -4, 2/5, -1?
2/5
Let r = -0.474 - -0.237. Let z = 0.237 + r. What is the nearest to 0.1 in 0.02, -1/4, z?
0.02
Suppose -20 + 24 = 4*i - 4*f, -2*i - f + 17 = 0. Let p be ((-8)/i)/((-20)/(-6)). Which is the nearest to p? (a) 2 (b) 1 (c) 5
b
Let d = 2 + -1.5. Let y = -92 - -87. Let q = -2.132 - -2.232. Which is the nearest to q? (a) d (b) y (c) -8
a
Let d = -29.2 - -26.2. Let u = 4 - 4.4. Let j = 0.224 + -0.314. What is the nearest to j in -0.3, d, u?
-0.3
Let p = -170413/7 - -24345. Let r = 1.99 + 0.01. Let l = -0.1 - -0.3. Which is the nearest to p? (a) 1/4 (b) l (c) r
a
Let g = -25/4 + 27/4. Let d(v) = -v - 1. Let h be d(-1). Let q = -65.8 + 70.8. What is the nearest to g in -0.4, h, q?
h
Let h = 552.5 - 549.5. Which is the nearest to 2/5? (a) h (b) 0.07 (c) 4 (d) 0.5
d
Let j = -0.047 + 0.147. Let v be 0/11 + (2 - 0). Let d be (v/(-20))/(16/40). What is the closest to j in 5, d, -5?
d
Let d = -236.96 - -240. Let t = d + -2.84. What is the nearest to 3 in t, -0.3, 2?
2
Let t = -9947.8 + 9951. What is the closest to 1 in -0.5, -3, -0.2, t?
-0.2
Let t = 6.3 - 0.3. Suppose -z = -3*z - 10. Let x be 1 - ((-130)/(-14) + (-192)/24). What is the closest to x in 1, z, t?
1
Let n = 21411.11 + -21410. What is the nearest to 9 in n, 0.2, 1?
n
Let z = 7747 - 7747. What is the nearest to z in 5, 8/5, 1/6?
1/6
Let g = -13045 + 13044.9. Which is the nearest to -5? (a) 0.3 (b) g (c) 9 (d) -0.02
b
Let h = -1613/7 - -12897/56. Which is the closest to -2/7? (a) -0.5 (b) 13/509 (c) h
c
Let i be (4/24*-4)/((-10)/15). Let w = -27.69 + 28. Let z = 0.01 - w. Which is the nearest to i? (a) z (b) -9 (c) -0.5
a
Let w be -1 + (-25)/5 + 0 + 2. Let h = -0.1 - 2.9. Let j = -0.0019 - 1.9981. Which is the nearest to j? (a) w (b) h (c) 1/5
b
Suppose 0 = -4*f - y + 19, 32*y = -2*f + 36*y + 14. Suppose 2*b + 1324 = -b + 2*h, 3*b + f*h = -1331. What is the nearest to 0 in b, 0.4, 0?
0
Let l(j) = -j**3 + 2*j**2 + j - 6. Let s be l(3). Let w = -9 - s. Let a = 177/4 - 44. What is the closest to a in -1/5, w, 1?
-1/5
Let p(c) = -c**3 - 197*c**2 + 14*c + 2760. Let r be p(-197). Let l = -51/5 - -11. What is the nearest to 1 in 1, l, r?
1
Let r = -2694 - -2690.9. Which is the nearest to r? (a) -5 (b) 1 (c) 9/13
a
Let b be 11/((-33)/9) - (-42 - -38). What is the closest to b in 0.89, -7, -0.2?
0.89
Suppose -19682 = -2*s - 19684. Which is the nearest to 0.4? (a) 4 (b) 0.2 (c) s (d) 4/5
b
Let a = 947/66 + -85/6. Let g = -10 + 22. What is the closest to g in a, -0.5, 0.4?
0.4
Let j = 31 + -94/3. Let o(v) = -v**3 - 6*v**2 - v - 3. Let s be o(-6). Let g = -0.179 + 0.109. What is the closest to j in -3, g, s?
g
Let q = -17174 - -17176. Which is the nearest to -0.1? (a) q (b) -52 (c) 1 (d) 78
c
Let c = -5.9 - -0.9. Let r = -0.096 - -0.426. Let s = -0.07 - r. What is the closest to 0.1 in c, -3, s?
s
Let f = 0.1023 + -0.1023. What is the closest to f in -26, -2/11, 4?
-2/11
Let d = 8/7 - 23/14. Let j = -7.69 + 5.49. What is the closest to -1 in -5, j, d, -2?
d
Let i(l) = l**3 - 22*l**2 + 62*l - 91. Let u be i(19). What is the closest to 3 in u, 0.5, -7/3?
u
Suppose -6*u + 573 = -21*u + 363. What is the closest to -1/4 in u, 0.5, 3, 2/7?
2/7
Let w be (3/(-7))/(-3)*(-609)/(-174). Let s = -265 + 541/2. Which is the nearest to 1? (a) 0.8 (b) w (c) s
a
Let y = -849 - -477. Let o = y - -363. What is the nearest to -1 in -3, o, 0, -2/7?
-2/7
Let r = 23934 + -2896013/121. Which is the closest to -0.1? (a) r (b) -2 (c) 17
a
Let s = -27.1 + 27.1149. Let w = 0.1149 - s. Which is the closest to w? (a) 1/7 (b) 0.3 (c) 2
a
Let r = 59529/10 - 5953. Which is the nearest to -5? (a) -1 (b) r (c) 1/2
a
Suppose -z = 3*z - 5*w + 1, 0 = -5*w + 5. Suppose 4*p - z - 8 = 5*d, d = -5*p + 4. Let u be p + (-44)/12 + 3. What is the closest to 0 in 0, -0.5, u?
0
Let h = 28 - 27. Suppose 5*n - 16 = -3*k, 2*n - 3*k = -h + 20. Suppose 4*v - n = -17. Which is the closest to 0.1? (a) -27 (b) -0.5 (c) v
b
Let o = 3396 - 3395.8. Which is the nearest to -0.3? (a) o (b) 0.5 (c) 461
a
Let k be (-57)/42 - (-2)/4. Let a be 105/(-30) - (3 + -5)*2. What is the closest to -1/5 in k, -0.5, a?
-0.5
Let v = -2885 + 2885.06. What is the closest to v in 6, 3, 4/5?
4/5
Let g = 7990.61 + -7991. What is the closest to 2/9 in -4, g, 1/3?
1/3
Let n = 2981 + -2978. Let m = 3766/11 + -342. Which is the nearest to -3? (a) m (b) 1 (c) 0.1 (d) n
c
Let k = -0.9994 + 0.9994. What is the nearest to k in -2/13, -23, -48, -4/7?
-2/13
Let b = 4.747 + 0.253. Suppose 0*f + f = -5. Let t = -2 - f. What is the closest to t in b, -0.5, -0.1?
b
Let s = -3152/9 - -72658/207. Let a = s - 239/276. Let l(o) = 763*o - 12207. Let r be l(16). What is the nearest to r in 0, 3, a?
0
Let n = -105.1 - -120.1. Let w be 3/4*(-77)/21 - -3. What is the closest to -1/7 in w, -5, n?
w
Suppose -4*k = 5*n - 3 + 6, 0 = -5*k + 5*n + 30. Which is the closest to -0.2? (a) -61 (b) 3/2 (c) k (d) 0.4
d
Let l = -1.861 + 15.861. What is the closest to -30 in -5, l, -1?
-5
Let i be (-1 + -1)/(1 + -10). Suppose -6*f - 144 = -4*g - 3*f, 4*g + f - 128 = 0. Let l be g/(-22) - (-27)/14. What is the closest to i in -3, l, -4?
l
Suppose 5*r = 2*r + 12, -5 = 3*z - 2*r. Let h = 66299/264 + -2019/8. Let j = h - 1/132. Which is the closest to z? (a) -4 (b) -2/23 (c) j
b
Suppose 5*f + 4*i + 115 = 0, 104 = -2*f - 5*i + 41. Let x be (-23)/38 + (-2)/f. What is the nearest to x in -24, 3/8, -0.4, -3/8?
-0.4
Let s = 9.4 + -11. Let y = s + 0.6. Let o = -23.2 + 21.2. Which is the closest to 0.2? (a) o (b) 3 (c) y
c
Let b = 43.31 - 43.51. What is the closest to 0 in b, -1, -3?
b
Let q(z) = 5*z**2 - 99*z + 158. Let y be q(18). Which is the nearest to -2? (a) -0.1 (b) -1204 (c) -1/3 (d) y
c
Let z be -1 + (6 - 4) + -8. Let i be (-3)/7 + (-10)/z. Let x = 0.03 + -5.03. What is the closest to 0.3 in x, 3, i?
i
Let v = -5 + 3. Suppose 1801*l + 2041 + 2479 = 671*l. Which is the closest to -13? (a) 0.3 (b) l (c) v
b
Let x = 21637/28860 - -2/7215. Suppose -3*w = 2 + 4. Which is the closest to w? (a) x (b) 2 (c) -15/8
c
Let m = 1.9 + -2. Let q = 857 - 4553/5. Let l = 2978/55 + q. What is the nearest to l in 0.4, m, 5?
0.4
Let p = -61.26 + 77.9. Let z = p + -17. Let c = z + 0.26. What is the closest to c in 0.3, -2/5, 3?
-2/5
Let y = -4025 + 4024.6. Let b = -2 - -2. What is the closest to b in -0.09, y, 0?
0
Let r = -18 + 17. Let t = -13749/2522 - -13/194. Let f = t - -223/39. Which is the nearest to f? (a) 0.3 (b) r (c) 0
a
Let o be -3 + -2 + -1*7. Let n(t) = 6*t + 71. Let p be n(o). Let q = 1 + -5. What is the nearest to 2/3 in 4, q, p?
p
Let h = -14.924 - -14.724. What is the nearest to h in 4, -1, -3, -0.1?
-0.1
Let y = -102.8 - -102.3. Which is the nearest to -11? (a) -3 (b) -9 (c) y
b
Let t = -1459 + 1456. Let h = 13.5 - -0.5. Which is the closest to 0.1? (a) h (b) -2/11 (c) t
b
Let l = -23.46 + 19.46. Let r = 15 + -12. Suppose 4*q - 5*k - 29 = 0, -5*k - 26 = -r*q + 2. What is the closest to -4/9 in -1/2, q, l?
-1/2
Let h be (522/244 - 2)*26/(-3). Let s = 219365/20 | {
"pile_set_name": "DM Mathematics"
} |
)) and d*(0 + 3)*-1.
8
Let g be (-3 - 1) + 47787/(-18). Let n = g + 2667. Let c = -2/14671 + 836287/293420. Calculate the common denominator of c and n.
60
Let r = 92745 + -51937169/560. What is the common denominator of r and -101/14?
560
Suppose 0*d + 2145 = 13*d. Calculate the least common multiple of d and 231.
1155
Calculate the lowest common multiple of (36/(-14))/(2/(-14)) and (-225)/(-12) + (-21)/28.
18
Let v(j) = j**2 - 2*j + j**2 + 1 - j**2 + 4*j**3. Let k = -12 - -19. Calculate the least common multiple of v(1) and k.
28
Let t = 3 - 9. What is the least common multiple of 8/24 - 10/t and (4 - (-3 + 12))/(-1)?
10
Suppose -3*o + 44 = -o. Calculate the least common multiple of (((-8)/(-3))/2)/(146/5913) and o.
594
Let h = 1/23766 - 199381/253504. What is the common denominator of h and -47/16?
192
Let x(y) = -4*y + 5. Let v be x(-7). Suppose 2*p = -p + v. Let o = -235 - -244. What is the least common multiple of p and o?
99
Let w = 1315 - 2709/2. Calculate the common denominator of w and -2*103/18 - -3.
18
Let s = 14 + -29. Calculate the common denominator of s/(-8)*28/21 and -47/10.
10
What is the common denominator of (60/(-8))/(((-108)/11)/6) and -33/4?
12
Let u = -1/203 + 3863/1218. What is the common denominator of u and 41/478?
1434
What is the common denominator of 37/80 and 194/(-10)*((-250)/(-28))/25?
560
Let i be ((61438 - -5) + -2)/(38 - -1). Let f = i - 1575. What is the common denominator of f and -35/18?
234
Suppose -2*v - 4*c + 2*c + 2 = 0, -v + 6 = -4*c. Suppose -a - v*l = -1 - 4, 0 = -a - l. Calculate the smallest common multiple of 39 + a + -6 + 2 and 3.
30
Let j = 1073 - 65. Let m = -5093/5 + j. Find the common denominator of -7/3 and m.
15
Let h = 1474 + -29601/20. Find the common denominator of 95/388 and h.
1940
Let z(c) = 34*c + 5. Let t be z(1). Suppose -3*o + 4*k + 76 = 0, -4*k - 61 = -4*o + t. What is the lowest common multiple of o and 24?
24
Let g be (898/27)/((-8)/(-84)). Let x = g - 139147/396. Find the common denominator of 41/18 and x.
396
Let l = -387 + 409. Calculate the smallest common multiple of l and 22.
22
Let q be (-2 - 2764) + -7 + -2*1. Let c = q - -102648/37. Calculate the common denominator of 35/2 and c.
74
Suppose -17*u + 221 = -204. What is the lowest common multiple of 13 and u?
325
Let u = -9913/8 - -1241. Find the common denominator of 13/8 and u.
8
Let j = -107 + 165. Suppose 5*w - 2*b - j = 2*w, 2*b = -2*w + 32. What is the common denominator of -103/22 and (-4)/w - (-1354)/(-144)?
88
Let z = -8 - -4. Calculate the smallest common multiple of 8 and z/(2 + 4/(-1)).
8
Let r be 2/(-4)*(-2 - -4)*-90. Find the common denominator of ((-2)/3)/(r/(-75)) and 41/4.
36
Let h = 18 + -12. Suppose 3*g - 3 = -l, 3*l - 7*g + 6*g - 49 = 0. What is the least common multiple of h and l?
30
Let z = 86 - 84. Let i(a) = 2*a + 16. What is the lowest common multiple of 12 and i(z)?
60
Suppose -75 = -9*s + 240. Suppose 6*l = -l + s. Calculate the smallest common multiple of 4 and l.
20
Let a = -84 - -252. Suppose -3*m + 6*m - a = 0. What is the smallest common multiple of 10/4*m/10 and 18?
126
Suppose -29 = -4*i + 3. Calculate the least common multiple of i and 5 - (1 + (-6)/(-3)).
8
Let b = 128 - 547. Let h = 2915/7 + b. Find the common denominator of h and (-5)/(4*(-18)/264).
21
Let z = -62761/780808 + -101/2674. Calculate the common denominator of -139/6 and z.
1752
Let k = 6 - -4. Let f be 0/k - 4*5. Find the common denominator of -57/2 and (-15)/f*(-46)/9.
6
Calculate the common denominator of 137/24 and ((-10)/(-25))/(11/(9471/(-56))).
120
Let h = -10 - -13. Let c = h - -6. Calculate the lowest common multiple of c and 8.
72
Let u(z) = -z + 17. What is the smallest common multiple of 7 and u(-18)?
35
Let a be ((-2)/(-474))/(21/(-63)). Let d = a + 2773/632. Find the common denominator of d and 85/6.
24
Let g = 316557/35 - 9046. Calculate the common denominator of g and 33/28.
140
Calculate the common denominator of 45/26 and 801/(-21)*(91/42 - 2).
182
Let y be (-129)/2 + 4/8. Find the common denominator of 19/22 and 30/y*(-4)/(-6).
176
Let g = 4273 - 85457/20. Let t = -138801/61240 + -13/1531. What is the common denominator of g and t?
40
Suppose 72 + 824 = 5*g - t, 4*g + t - 724 = 0. What is the least common multiple of g and 4?
180
Calculate the common denominator of ((-3)/((-12)/(-22)))/(-5) and (-76)/874 - 503/(-230).
10
Let b(a) = 12*a + 44. Calculate the smallest common multiple of 8 and b(1).
56
Let k be (-2)/3 - (-99918)/(-54). What is the common denominator of (-8)/20 - (-1)/((-90)/k) and -26/27?
54
Let p = 2805 - 28083/10. Find the common denominator of 547/30 - (-30)/(-75) and p.
30
Suppose -3*u - 250 = 17. Calculate the common denominator of 43/12 and 25/(-30)*u/5.
12
Calculate the common denominator of (8 - (-12)/(-6)) + 83/(-7) and -9/196.
196
Let c(s) = s + 15. Let w(l) = 10*l**2 + l**3 + 7*l - 8 - 3*l + 5*l. Let r be w(-9). Calculate the least common multiple of c(r) and 9.
63
Let y be (-504)/(5 - -2)*4/6. Calculate the common denominator of -67/36 and 10/(-80) - 442/y.
36
Suppose j - 5 = -5*p, 0 = 31*p - 28*p - 4*j - 26. What is the smallest common multiple of p and 1232?
1232
Let t = 15941/18 + -676/9. Let z = t + -839. Calculate the common denominator of z and -29/22.
22
Let o = 4 - -8. What is the common denominator of 9/7 and 5/((-4 - -3) + o)?
77
Let i = 704 - 703. Calculate the lowest common multiple of ((-2)/4)/(1/(-20)) and i.
10
Suppose 26 = -5*h + 146. Suppose -7 = -4*w + 3*c - 3, 3*c = -3*w + h. Suppose -j + 90 = w*j. What is the least common multiple of j and 14?
126
Let p = 54601/5410 + 4/541. Let i = -467 - -9323/20. Find the common denominator of p and i.
20
Suppose 424 = 111*o - 107*o. Calculate the least common multiple of 6 and o.
318
Suppose 697*d - 700*d + 108 = 0. What is the least common multiple of 4 and d?
36
What is the common denominator of 699/81 + -6 - 2/2 and -79/120?
1080
Find the common denominator of 145/66 and (1159/165 - (-11 - -18))*40.
66
Suppose 3*j + 300 = 3*h, 3*j = -4*h + j + 412. Calculate the lowest common multiple of h and 9.
306
Let i = 1032 - 10403/10. Suppose 2*q + 0*q = 3*d + 113, -4*d - 5*q - 189 = 0. Find the common denominator of i and d.
10
Suppose -3*b = 5*q - 17, 5*q + 1 = -2*b + 19. Suppose -38 + 2 = -q*o. Calculate the lowest common multiple of o and 3.
9
Let c = -405/124 + -65927/620. Let d be (9981/27)/((-10)/3). Let i = c - d. What is the common denominator of -145/18 and i?
90
Suppose 3*f + 4*w - 35 = 35, -4*f = -3*w - 60. Calculate the lowest common multiple of 9 and f.
18
Let s = 5 - -2. Suppose -100*x - 54 = -109*x. What is the least common multiple of s and x?
42
Let x = -666 - -677. What is the smallest common multiple of x and 342?
3762
What is the least common multiple of 12*(2 + (-80)/(-15)) and 11?
88
What is the common denominator of -47/108 and 6/(-150)*145/6?
540
Let j = 28 - 12. Suppose -5*b - 3*g = -92, -3*b + 96 = 2*b - g. Let x = b - 3. Calculate the least common multiple of x and j.
16
Let v be (5*15/25)/(-1*1). Calculate the common denominator of -4 + 1 + 232/128 - v and -99/62.
496
Suppose 5*y - 1314 = -2*q, 4*q = 7*y - 12*y + 1308. What is the lowest common multiple of y and 18?
792
Let r = 18671 - 448183/24. Find the common denominator of -59/57 and r.
456
Suppose 4*s + 178 = 2*d, 4*s + 280 + 165 = 5*d. Calculate the common denominator of (-105)/84*106/10 and d/16 + 1/2.
16
Suppose h = -h - n + 29, 3*h - 60 = 4*n. Let b = 20 - h. Suppose -b*x + 5*x = 4. Calculate the least common multiple of x and 10.
20
Suppose i + 308 = 3*g, -3*i = 5*g - i - 506. Let y = g - 66. Calculate the lowest common multiple of 4 and y.
36
Suppose -3 = 4*t + 1. What is the common denominator of (t/(-2)*142)/10 and 5/5 - 43/(-6)?
30
Suppose -2*z = 3*s + 16, 5*z = -6*s + 2*s - 33. Find the common denominator of -97/14 and (-4 - s) + 603/180.
140
Let p = -2171/3 + 733. Calculate the common denominator of 89/12 and p.
12
Suppose -o - 4 = 12. Let z be 12/o - 6589/(-8796). Let s = 41797/17592 + z. Calculate the common denominator of 95/2 and s.
8
Let v = 16109/20 - 808. What is the common denominator of v and 121/100?
100
Calculate the common denominator of -75/16 and 2*345/(-280) + 1 - 0.
112
Suppose -16 = w - 34. Let i = w + -9. Cal | {
"pile_set_name": "DM Mathematics"
} |
der.
185, 41, 0, -75
Sort -2/13, 35, 0.5, 0.9, 6/13 in increasing order.
-2/13, 6/13, 0.5, 0.9, 35
Sort 5, 3/2881, -1, 0.27 in decreasing order.
5, 0.27, 3/2881, -1
Put -9, -34, 1, -11 in ascending order.
-34, -11, -9, 1
Sort -3402, 26, 3 in decreasing order.
26, 3, -3402
Put -11, -97, 1 in increasing order.
-97, -11, 1
Sort -132, -5, 228.
-132, -5, 228
Put -4, 1, 271, -22, -5 in decreasing order.
271, 1, -4, -5, -22
Put 1, -0.05, 168/11, 5, -2, -1/2 in descending order.
168/11, 5, 1, -0.05, -1/2, -2
Put -5, 0, 2214 in decreasing order.
2214, 0, -5
Sort 4, 5, -5, -270, 1, -2 in increasing order.
-270, -5, -2, 1, 4, 5
Put -2, -21.1, -1, 3, -0.08 in increasing order.
-21.1, -2, -1, -0.08, 3
Sort 5, 0, -4, -5, -2806, 3.
-2806, -5, -4, 0, 3, 5
Put 4, -3, 3, -591 in ascending order.
-591, -3, 3, 4
Sort 49685, 2, -4 in increasing order.
-4, 2, 49685
Sort 3724, -4, 3.
-4, 3, 3724
Sort -8/3, 1/46, 0.5, 71 in increasing order.
-8/3, 1/46, 0.5, 71
Put 0.3, -4, -1/2, 26, 0.1, -5 in descending order.
26, 0.3, 0.1, -1/2, -4, -5
Put -2607, 3, -56, 5 in descending order.
5, 3, -56, -2607
Put 4, 14301, 0 in decreasing order.
14301, 4, 0
Sort 9, 25, 4, -3/7, 0.03 in ascending order.
-3/7, 0.03, 4, 9, 25
Sort -4, 0, 4, -5, -850.
-850, -5, -4, 0, 4
Sort 9, 4, 16468, 2 in decreasing order.
16468, 9, 4, 2
Sort -2, -1, -26, -382 in decreasing order.
-1, -2, -26, -382
Sort 0.2, -17, -2, 44, -43 in increasing order.
-43, -17, -2, 0.2, 44
Sort 3/4, -4623, -0.03.
-4623, -0.03, 3/4
Sort 0.5, 0.68, 0, -0.1, 3/8, -1 in increasing order.
-1, -0.1, 0, 3/8, 0.5, 0.68
Put 0.1, -2/19, 1001.5, 0.4 in decreasing order.
1001.5, 0.4, 0.1, -2/19
Sort -4, -357, -7, -8.
-357, -8, -7, -4
Sort 0, 8, -0.3, 2/465, -4, -18.
-18, -4, -0.3, 0, 2/465, 8
Sort 1844, -56, -19, -1 in decreasing order.
1844, -1, -19, -56
Sort 2, 0, -5, 1479, -4 in increasing order.
-5, -4, 0, 2, 1479
Sort 0, 7, -715 in increasing order.
-715, 0, 7
Sort 47, 111, 5, 78.
5, 47, 78, 111
Sort 0.1, 2/7, -46, -4, -0.3, 1/4 in ascending order.
-46, -4, -0.3, 0.1, 1/4, 2/7
Sort 0.4, 3.1, 0.2, 56/5.
0.2, 0.4, 3.1, 56/5
Put -2/7, 66, -0.2, 0.4, 1/5 in decreasing order.
66, 0.4, 1/5, -0.2, -2/7
Put -2, -0.06494, 28 in descending order.
28, -0.06494, -2
Put -3, 33, 1, -591 in decreasing order.
33, 1, -3, -591
Put -1, 8.1, -1/10, -1/3, -1/5 in ascending order.
-1, -1/3, -1/5, -1/10, 8.1
Put 14, 4, -8, -7, 5, 3 in ascending order.
-8, -7, 3, 4, 5, 14
Sort 37, 3, 4, -50, -1 in descending order.
37, 4, 3, -1, -50
Sort 0, 0.03, -2, -70/9, 2, 0.5 in descending order.
2, 0.5, 0.03, 0, -2, -70/9
Sort 3, -495, -7, -3.
-495, -7, -3, 3
Sort -3010, -28, -2 in descending order.
-2, -28, -3010
Sort -52, -1008, -4 in ascending order.
-1008, -52, -4
Sort 5, 864, -3, 12 in descending order.
864, 12, 5, -3
Sort -1/3, 1285, 2, -2/11, -2.
-2, -1/3, -2/11, 2, 1285
Sort 611/2, -45, 1 in decreasing order.
611/2, 1, -45
Put -23, -3, -27, 100, -4, 0 in decreasing order.
100, 0, -3, -4, -23, -27
Sort -11, 2, 237, -2, 0.
-11, -2, 0, 2, 237
Sort 109385, 1, -1 in decreasing order.
109385, 1, -1
Sort 1.4, 0.5, 36659 in descending order.
36659, 1.4, 0.5
Put -1, -9806, 4, 2 in descending order.
4, 2, -1, -9806
Put 5, 23, -167, 3, 4 in descending order.
23, 5, 4, 3, -167
Sort 6.0494, -1/2, -1/11.
-1/2, -1/11, 6.0494
Sort 1786, 16, 2 in decreasing order.
1786, 16, 2
Sort 9, -33, -0.1, 2/5.
-33, -0.1, 2/5, 9
Sort -4, 4, -3, 92, -5, 47 in decreasing order.
92, 47, 4, -3, -4, -5
Put -1/3, 0.0057, 1/2, -1, -4, -5 in decreasing order.
1/2, 0.0057, -1/3, -1, -4, -5
Put 1, 413, -116 in descending order.
413, 1, -116
Put 6/7, -3/2, 1, -276 in decreasing order.
1, 6/7, -3/2, -276
Sort -3, 1, -11, -8, -2 in descending order.
1, -2, -3, -8, -11
Sort 26, 20298, 4.
4, 26, 20298
Sort 3, 1, -2, -5, 1519 in increasing order.
-5, -2, 1, 3, 1519
Sort -5/4, 3, -1714, -3/5.
-1714, -5/4, -3/5, 3
Put -1/30, 3653, 12 in descending order.
3653, 12, -1/30
Sort 5, 0, 18, -5, -269 in descending order.
18, 5, 0, -5, -269
Put 1420, 3, -2, -1, 14 in descending order.
1420, 14, 3, -1, -2
Put -2, 0, 5, 30, -5 in increasing order.
-5, -2, 0, 5, 30
Sort -1, -4, 1, -7, -22, 7 in descending order.
7, 1, -1, -4, -7, -22
Sort 2, 7, -178, -3, -11 in increasing order.
-178, -11, -3, 2, 7
Sort 101, 7, -5, 4 in decreasing order.
101, 7, 4, -5
Sort -19, -2597, 5 in decreasing order.
5, -19, -2597
Put -7, 0, -3, 1, 2 in descending order.
2, 1, 0, -3, -7
Sort 3, -0.17, -4, 846 in decreasing order.
846, 3, -0.17, -4
Sort 3, -53, -1, 12.
-53, -1, 3, 12
Sort -2, 3, -3, 6, -252, -6 in decreasing order.
6, 3, -2, -3, -6, -252
Put -161, 24, -13, -4, -5 in descending order.
24, -4, -5, -13, -161
Sort 0.5, 972, 67.3 in decreasing order.
972, 67.3, 0.5
Put -189/10, 2/7, 2, 0.3 in descending order.
2, 0.3, 2/7, -189/10
Put 6, -12, -20363 in descending order.
6, -12, -20363
Put -2273, -20/11, 4 in decreasing order.
4, -20/11, -2273
Put -10, -63, -3, -3/4, 5 in increasing order.
-63, -10, -3, -3/4, 5
Put -14, 0.4, 73, 0 in increasing order.
-14, 0, 0.4, 73
Put -1, 2, 73, -30, 26, -6 in descending order.
73, 26, 2, -1, -6, -30
Sort 2, 272/5, 3, 5, -0.064, -1/4.
-1/4, -0.064, 2, 3, 5, 272/5
Sort 2, -4, 3, 0.3, -399 in descending order.
3, 2, 0.3, -4, -399
Put -0.8, 1/6, 437.3, 1 in increasing order.
-0.8, 1/6, 1, 437.3
Put 4, -14/5, 1.1, 9, -0.12 in ascending order.
-14/5, -0.12, 1.1, 4, 9
Put 2285, -1, 3, -4 in descending order.
2285, 3, -1, -4
Put 5, 0, -525, -4, 6 in descending order.
6, 5, 0, -4, -525
Sort 1/5, -0.4, -50/3, -0.031, -5 in ascending order.
-50/3, -5, -0.4, -0.031, 1/5
Put 1, -105, -4, -5, 0, 72 in ascending order.
-105, -5, -4, 0, 1, 72
Sort -0.01, 7, 24/7, 0, -1/3, 0.04 in ascending order.
-1/3, -0.01, 0, 0.04, 24/7, 7
Sort -21, -3, -8, 2 in ascending order.
-21, -8, -3, 2
Put 0.2, -79, -0.011 in increasing order.
-79, -0.011, 0.2
Put 4, -2/21, -0.5, -49, -4 in ascending order.
-49, -4, -0.5, -2/21, 4
Put 3, 1, -2/5, -6/5, -6 in ascending order.
-6, -6/5, -2/5, 1, 3
Sort 328, -9, -5, 0.
-9, -5, 0, 328
Sort 5/3, -2/13, -0.107, 2, -1/7 in ascending order.
-2/13, -1/7, -0.107, 5/3, 2
Put 0, -2, -7, 35 in increasing order.
-7, -2, 0, 35
Put 795, -7, 14, -5, -1 in decreasing order.
795, 14, -1, -5, -7
Put 5, 4, -0.2, -5010 in decreasing order.
5, 4, -0.2, -5010
Put 4, -221, 193 in increasing order.
-221, 4, 193
Put -4, 5, -645, 33 in decreasing order.
33, 5, -4, -645
Put -4, 3, 608, -26 in decreasing order.
608, 3, -4, -26
Put -5.2, 4, 0.11, -6/13 in increasing order.
-5.2, -6/13, 0.11, 4
Sort 11, 1114, -11.
-11, 11, 1114
Sort 40, -1, -43443 in increasing order.
-43443, -1, 40
Sort 0.1, -0.599, -16, -4, 1/4 in decreasing order.
1/4, 0.1, -0.599, -4, -16
Put 4, -1, -7, -4, 18, 306 in decreasing order.
306, 18, 4, -1, -4, -7
Sort 785, 0, -1, -5 in ascending order.
-5, -1, 0, 785
Put 4, 68, -5, -544 in descending order.
68, 4, -5, -544
Sort 0.5, 2/7, -0.078, 2/77 in increasing order.
-0.078, 2/77, 2/7, 0.5
Sort -2/13, -8, -7/4, 2, 1.
-8, -7/4, -2/13, 1, 2
Sort 2, -39, -4, -5, 0.
-39, -5, -4, 0, 2
Sort -0.5, 3/2, -418, 127 in descending order.
127, 3/2, -0.5, -418
Sort -4, -589, 722, 1 in ascending order.
-589, -4, 1, 722
Sort -3482, 0, -5, -4 in ascending order.
-3482, -5, -4, 0
Sort -10, 5, 313, 4 in ascending order.
-10, 4, 5, 313
Sort -3.66, 0.4, 0.57, 4 in descending order.
4, 0.57, 0.4, -3.66
Sort 3, -71, -5, -295 in increasing order.
-295, -71, -5, 3
Sort 1, -2, 39, -7/6.
-2, -7/6, 1, 39
Sort -4/3, -5, -1/9, -3, 0.1, 0.31 in descending order.
0.31, 0.1, -1/9, -4/3, -3, -5
Put -1.42, -2, 442 in decreasing order.
442, -1.42, -2
Sort -3, 16, 0.011, 6, 1.
-3, 0.011, 1, 6, 16
Sort -2, 6.19, 2/5, -9.
-9, -2, 2/5, 6.19
Sort -6018, 10, 4 in increasing order.
-6018, 4, 10
Sort 0.1, 1, 55, 0.5, -0.07 in decreasing order.
55, 1, 0.5, 0.1, -0.07
Put 182, -2, -1/2, 5, -0.2 in ascending order.
-2, -1/2, -0.2, 5, 182
Sort -1/2, 11, 1/11, -2, 0.3.
-2, -1/2, 1/11, 0.3, 11
Put 0.5, -1.01, -45 in descending order.
0.5, -1.01, -45
Put -0.02, 0.2, -0.1, 5, -3, -148 in descending order.
5, 0.2, -0.02, -0.1, -3, -148
Put -2, -0.1, -21, -1, -134 in increasing order.
-134, -21, -2, -1, -0.1
Sort -0.2, -1/8, 1884.
-0.2, -1/8, 1884
Put -10, -22, -45, -1 in descending order.
-1, -10, -22, -45
Put -41/4, 0.4, 6, 3, 5 in in | {
"pile_set_name": "DM Mathematics"
} |
tters picked without replacement from utzutuuuzzuuzzuuzz.
7/306
Two letters picked without replacement from {t: 2, f: 8, z: 9, l: 1}. Give prob of picking 2 t.
1/190
Four letters picked without replacement from {a: 6, p: 1, v: 4, b: 2, x: 3}. Give prob of picking 1 b and 3 x.
1/910
Calculate prob of picking 1 s and 2 w when three letters picked without replacement from {b: 6, h: 2, s: 1, w: 2, d: 3}.
1/364
Four letters picked without replacement from xzxndxzxnnzdzd. Give prob of picking 3 d and 1 n.
3/1001
Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {l: 3, h: 4, p: 1}.
1/7
Calculate prob of picking 2 r and 2 n when four letters picked without replacement from rrbnnnnnr.
5/21
Four letters picked without replacement from {y: 6, i: 1, r: 8, g: 1, c: 3}. Give prob of picking 3 r and 1 y.
28/323
Four letters picked without replacement from aftnttlafftt. What is prob of picking 1 a, 1 f, 1 t, and 1 n?
2/33
What is prob of picking 2 e when two letters picked without replacement from {s: 7, e: 6}?
5/26
Three letters picked without replacement from {g: 7, i: 5}. What is prob of picking 1 i and 2 g?
21/44
Two letters picked without replacement from qdzhiyd. What is prob of picking 1 d and 1 z?
2/21
Two letters picked without replacement from {u: 1, q: 2, y: 12, t: 1, g: 2}. What is prob of picking 1 y and 1 q?
8/51
Four letters picked without replacement from bfbryqbbeerbqqb. What is prob of picking 1 y, 2 q, and 1 e?
2/455
Three letters picked without replacement from {y: 4, q: 5, a: 5}. What is prob of picking 3 q?
5/182
Four letters picked without replacement from {k: 8, z: 1, w: 5, h: 5}. Give prob of picking 3 k and 1 w.
70/969
What is prob of picking 1 g, 1 k, and 1 v when three letters picked without replacement from kvvgkvgvkhkhvgvhgvvv?
12/95
Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {j: 3, v: 2}.
3/5
What is prob of picking 1 a and 1 x when two letters picked without replacement from {x: 11, a: 2}?
11/39
Two letters picked without replacement from {y: 5, r: 6, u: 4, t: 4}. Give prob of picking 1 y and 1 r.
10/57
Four letters picked without replacement from {l: 1, t: 1, b: 5, e: 3}. Give prob of picking 4 e.
0
Two letters picked without replacement from vvhhvvhvhvhhvvvhhvhv. What is prob of picking 2 v?
11/38
Three letters picked without replacement from {x: 5, v: 2}. Give prob of picking 3 x.
2/7
What is prob of picking 2 h, 1 w, and 1 k when four letters picked without replacement from {w: 5, k: 2, e: 3, h: 3, t: 1, j: 1}?
2/91
Three letters picked without replacement from nnnfhnfffnfnnhn. What is prob of picking 2 n and 1 h?
8/65
What is prob of picking 2 p and 2 y when four letters picked without replacement from {y: 2, p: 10, q: 5, f: 3}?
3/323
Three letters picked without replacement from pjqjzmmmqmmqmpjq. Give prob of picking 2 m and 1 z.
3/112
Calculate prob of picking 2 j and 2 s when four letters picked without replacement from {j: 2, v: 2, s: 2, p: 8}.
1/1001
Calculate prob of picking 1 t and 3 b when four letters picked without replacement from {t: 2, x: 1, b: 6, i: 2}.
4/33
What is prob of picking 1 w and 2 e when three letters picked without replacement from aaeweh?
1/20
Two letters picked without replacement from nffjd. Give prob of picking 2 n.
0
Three letters picked without replacement from pxttxyypxyyxxtpp. Give prob of picking 1 x, 1 p, and 1 t.
3/28
What is prob of picking 1 a and 1 x when two letters picked without replacement from cccxaqcccxqxxqaqaa?
16/153
Calculate prob of picking 2 u when two letters picked without replacement from {u: 9, e: 5}.
36/91
What is prob of picking 4 s when four letters picked without replacement from zsszbzsbzzbs?
1/495
Calculate prob of picking 1 w and 1 r when two letters picked without replacement from kpwxpwwwrwkre.
5/39
Calculate prob of picking 2 i, 1 f, and 1 s when four letters picked without replacement from ssisisissisifssiss.
11/204
What is prob of picking 2 u when two letters picked without replacement from {n: 1, o: 1, u: 2, h: 5}?
1/36
Two letters picked without replacement from yyvyvqyvhyhhvvy. Give prob of picking 2 y.
1/7
Calculate prob of picking 2 b when two letters picked without replacement from {i: 7, b: 2}.
1/36
Three letters picked without replacement from kmkggkgkgk. What is prob of picking 1 k, 1 m, and 1 g?
1/6
What is prob of picking 2 k when two letters picked without replacement from kkkkkkkkk?
1
Three letters picked without replacement from {w: 4, u: 4, b: 3}. Give prob of picking 2 w and 1 u.
8/55
Three letters picked without replacement from {a: 1, c: 10, o: 6}. Give prob of picking 3 c.
3/17
Two letters picked without replacement from vhvnvnntvnkivniv. Give prob of picking 2 i.
1/120
Two letters picked without replacement from {r: 2, a: 1, v: 4, d: 7}. What is prob of picking 1 a and 1 d?
1/13
What is prob of picking 1 t, 1 n, and 1 b when three letters picked without replacement from ttttbtttbtnttt?
11/182
Two letters picked without replacement from aga. Give prob of picking 2 a.
1/3
Four letters picked without replacement from mmttttmmmmmrrmmmmtm. What is prob of picking 2 r and 2 m?
11/646
What is prob of picking 2 r when two letters picked without replacement from ryry?
1/6
What is prob of picking 3 t when three letters picked without replacement from ttnntnn?
1/35
What is prob of picking 4 w when four letters picked without replacement from {i: 2, w: 4, a: 2, j: 4}?
1/495
What is prob of picking 1 e and 2 n when three letters picked without replacement from nxmeenreme?
1/30
Three letters picked without replacement from {d: 4, o: 16}. Give prob of picking 1 o and 2 d.
8/95
Calculate prob of picking 1 a, 1 s, and 1 x when three letters picked without replacement from xraarsaraaaar.
7/286
Four letters picked without replacement from {n: 1, u: 2, v: 1, e: 1, t: 4}. Give prob of picking 1 n, 2 e, and 1 v.
0
Calculate prob of picking 2 x when two letters picked without replacement from xxxxxxxxx.
1
What is prob of picking 4 g when four letters picked without replacement from {i: 1, x: 1, g: 9, o: 4}?
6/65
What is prob of picking 1 d, 1 u, and 1 f when three letters picked without replacement from {u: 3, l: 1, r: 3, f: 2, c: 1, d: 2}?
3/55
Two letters picked without replacement from {m: 2, q: 2, b: 1}. Give prob of picking 2 q.
1/10
Two letters picked without replacement from mxb. What is prob of picking 1 b and 1 m?
1/3
Four letters picked without replacement from {d: 1, k: 4, c: 7, j: 4, a: 2}. Give prob of picking 1 c, 1 k, 1 d, and 1 a.
14/765
Calculate prob of picking 1 b, 1 t, and 2 j when four letters picked without replacement from {j: 2, o: 2, b: 2, t: 1, c: 1}.
1/35
Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {c: 1, s: 1, k: 1, t: 6}.
1/36
Calculate prob of picking 2 q and 1 n when three letters picked without replacement from jjjjnejqjeqjjqqqnqjj.
1/38
What is prob of picking 1 s and 1 x when two letters picked without replacement from {x: 6, s: 13}?
26/57
Four letters picked without replacement from mmmmmmmmmmvvmmv. Give prob of picking 4 v.
0
What is prob of picking 2 g when two letters picked without replacement from togggjjtttoqttjjjj?
1/51
Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {b: 3, m: 13}.
13/40
Two letters picked without replacement from {e: 5, u: 1, z: 4, q: 1}. What is prob of picking 2 z?
6/55
Three letters picked without replacement from zyyzqyyz. Give prob of picking 2 y and 1 z.
9/28
Two letters picked without replacement from eceoeocece. What is prob of picking 2 o?
1/45
Calculate prob of picking 1 k and 1 c when two letters picked without replacement from buckj.
1/10
What is prob of picking 2 r when two letters picked without replacement from rllllrllllr?
3/55
What is prob of picking 2 x and 1 f when three letters picked without replacement from xxfx?
3/4
What is prob of picking 2 r and 1 o when three letters picked without replacement from ulllolhlohluolrlllfr?
1/380
What is prob of picking 3 u and 1 x when four letters picked without replacement from iihixuxixxx?
0
Calculate prob of picking 1 t and 2 c when three letters picked without replacement fro | {
"pile_set_name": "DM Mathematics"
} |
6)/9)/(50/525). Let o(v) = v**3 + 6*v**2 - 7*v. Calculate o(z).
0
Let l = 1 - 1. Let a(v) = 5 + 5021*v + 5020*v - v**3 + v**2 - 10042*v + 0*v**2. Calculate a(l).
5
Let y(s) = s**3 + 11*s**2 - 26*s - 2. Suppose 4*m - 3*m + 3 = -2*u, -20 = -4*u. What is y(m)?
-2
Let i(k) = 2*k**2 + 4*k**2 - k**3 + 8*k**2 + 2*k**3 + 6 + 0*k**2 + 6*k. What is i(-14)?
-78
Let c(x) = -x**2 - 6. Let l be 36/9*1/(-4). Let g(v) = -16*v. Let z be g(l). Let p = -16 + z. Give c(p).
-6
Suppose 20*v - 31*v = 22. Let g(l) = 7*l**3 + 7*l**2 - 2*l + 1. Let y(k) = -8*k**3 - 8*k**2 + 2*k - 1. Let p(a) = 7*g(a) + 6*y(a). Give p(v).
1
Let o(d) = -d**3 + 7*d - 5. Suppose -154*v = -152*v - 4. Give o(v).
1
Let u(z) = 252 - 241 - 6*z**2 + z**3 + z**2 - 5*z. What is u(6)?
17
Suppose -4*q + 3*b + 18 = -7*q, -5*b = 5. Let g(h) = h**2 + 1. Let i(v) = -11*v**2 + 3*v - 6. Let u(f) = q*g(f) - i(f). Calculate u(2).
19
Let v be (-22)/(-5) + (-26)/65. Let o be (v/8)/(3/(-12)). Let p(m) = 2 - m - 1 + 0 + 1. Give p(o).
4
Suppose -17*o - 41*o + 754 = 0. Let g(l) = l**3 - 12*l**2 - 10*l - 30. Calculate g(o).
9
Let a(l) = -l + 9. Suppose -t = 4*k - 19, 3*t + 2*k - 6*k - 9 = 0. What is a(t)?
2
Let m(a) = 2*a**2 + a - 1. Let w(o) = 2*o**2 + o - 2. Let p(f) = -2*m(f) + w(f). Determine p(-2).
-6
Let q(n) = 2*n**3 + 2*n - 4 - 2 + 5*n**2 - 3*n**3 + 0. Suppose -2*h - 8 = 5*l, 0 = -2*l - 2*h + 3*h + 4. Suppose 3*p - 15 = -l*p. What is q(p)?
4
Let o be (2/(-4))/(1/(-30)). Let p be 6/o - (-46)/10. Suppose -p*c - 30 = c. Let h(i) = -i + 4. Calculate h(c).
9
Let m(r) = r**2 + 5*r + 8. Let k be m(-3). Let w(y) = 2*y**2 - 4. Give w(k).
4
Let a = -26 - -40. Suppose 4*b + a = -3*t, -t + 2*t = b + 7. Let k(o) = -o**2 - 5*o - 4. Give k(b).
-4
Let u be (-282)/90 - (-1)/30*4. Let v(i) = 2*i + 4. Determine v(u).
-2
Let x(p) = -5*p**2 - 11. Let l(u) = u**2 + 2. Let s(b) = 11*l(b) + 2*x(b). Suppose h = 3*w + 4*h + 72, -5*w + h = 120. Let f = w + 21. Determine s(f).
9
Let w be (-342)/152*8/(-6). Let q(g) be the third derivative of 1/12*g**4 + 0*g**w + 0*g - 9*g**2 + 1/60*g**5 + 0. Give q(3).
15
Let m(s) = 7*s + 12. Let t(x) = 3*x + 6. Let o(f) = 2*m(f) - 5*t(f). Let p be o(-8). Let u(g) = p + 4*g**2 - 5 + 3*g - 5*g**2. Determine u(4).
-7
Let u(i) = 29*i**3 + 10*i - 91*i**3 - 4*i**2 - 8*i**2 - 9 + 30*i**3 + 33*i**3. What is u(11)?
-20
Let m(v) = 4*v - 3. Let b be 2 - (-3 + 21/3). Give m(b).
-11
Suppose 2*y - 8 + 0 = 0. Suppose t = -t - 8, -8 = 2*n + 3*t. Let i(x) = n*x - 9 - 1 - 2 + 10. Determine i(y).
6
Suppose -3*g + m + 19 = 0, -3*g - g = 4*m - 36. Suppose -6 = -i + u, -4*i + 2*u - g + 33 = 0. Let y(d) = -d**3 + 8*d**2 - 6*d - 2. Determine y(i).
5
Let v be 1/5 + 56/20. Let h be (-4)/3 - 2/v. Let q(m) = m - 7*m + 8*m. Give q(h).
-4
Suppose 3*z = -4*n - 18, 0 = 4*n - z + 4 + 6. Let q = 38 + -36. Let m(w) = 3 - w - q*w + w + 4*w. Calculate m(n).
-3
Let n(a) = a**2 - 7*a + 12. Let x be n(6). Suppose 7*y = 5*y + 10. Let v(k) = 9*k**3 + y + k - 10 + k**2 + x. Give v(-1).
-8
Let r = 823/36 - 202/9. Let n(u) be the third derivative of -1/6*u**3 + 0*u - 7*u**2 + 0 - r*u**4. What is n(-1)?
9
Let p(j) = j + 0*j + 5 - j**2 + 6*j. What is p(6)?
11
Let a(v) = 3 + v + v + 4*v**2 + v**3 + 0*v**3. Let z be (-10)/(-1*((-25)/(-10) + -3)). Let s = -22 - z. Calculate a(s).
7
Suppose 59 = 16*b + 27. Let p(i) be the first derivative of -1/4*i**4 + 0*i**3 - b*i + 3 + 1/2*i**2. Calculate p(0).
-2
Suppose -4*p = 3*g - 31, 4*p - 2*g - 55 = 3*g. Suppose p = -4*u + 6*u. Suppose -u*c + 3*c + 4*x = 0, -5*c + 4*x = 6. Let q(i) = i**2 + 2*i + 3. Calculate q(c).
3
Let w(z) = -533*z + 1596*z - 525*z - 2*z**2 - 530*z. Give w(6).
-24
Let r(s) = s**3 - 11*s**2 + 5. Let z be r(11). Let m(h) be the first derivative of -h**4/4 + 2*h**3 - 5*h**2/2 - 2*h - 2. Give m(z).
-2
Suppose -5*u - 202 = -152. Let l(v) = v**3 + 11*v**2 + 7*v - 4. Calculate l(u).
26
Let d(y) be the second derivative of 7*y**4/24 + 5*y**2/2 - y. Let p(g) be the first derivative of d(g). Suppose 2*x + 16 = 14. Determine p(x).
-7
Let d(p) = p**3 + 4*p. Let z(l) = -l**3. Let s(r) = -d(r) - 2*z(r). Give s(-3).
-15
Suppose -12 = 2*h + 4*x, 2*h + 5*x + 12 = -0*h. Let p be (30/3)/((-4)/h). Let l(a) = -1 - 10*a + a**2 - 5*a + p*a. Determine l(2).
3
Let h = -13 - 28. Let a = 44 + h. Let d(k) = -3*k**a - 2 - 5*k**2 - 3*k + 3*k**2 + 4*k. What is d(-2)?
12
Suppose 1 = 2*m - 13. Let o = -7 + m. Let w(h) = h**2 - 4 + 2*h + 0 + o*h. Give w(3).
11
Let o(l) be the second derivative of -l**6/720 - l**5/60 - 7*l**4/4 - 17*l. Let f(p) be the third derivative of o(p). Calculate f(5).
-7
Let f(d) = 82 - d**2 - 45 - 54. Suppose 4*o = -a + 23, -2*o - 5*a + 7 = -0*a. Suppose r = o*r. Give f(r).
-17
Let k(n) = n**3 - 3*n**2 - 4*n + 2. Let u be k(4). Let y(t) = 0 + 12*t**2 + 0 - 3*t - 5*t**2. Give y(u).
22
Let j be ((-24)/(-30))/(4/(-10)). Let m(a) = -a**3 + 2*a**2 - a - 1. Give m(j).
17
Let l be (-8)/(4/2) - (1 + -10). Suppose -f = -3*z - z + 4, 4*z - l*f = -12. Let v(p) = -3*p**2 + 1. Calculate v(z).
-11
Let d(s) = -2*s**2 + 6*s. Let g(w) = -w**3 - 13*w**2 - 13*w - 11. Suppose -m + 3*z = 6, 0*z = 2*z + 4. Let c be g(m). Let j be 3 - (c - 6/3). Determine d(j).
-8
Let i(j) = -j**3 + j**2 + j - 1. Let m(h) = -5*h**3 + 12*h**2 - 4. Let t(c) = -6*i(c) + m(c). Give t(-7).
-5
Let y(j) = 2*j + 6. Let s be y(-4). Let d(p) = -p. Let i be d(-4). Let q(k) = -k**2 + 1 + 5 + 7*k - 4*k - i. Give q(s).
-8
Let r = -74 - -79. Let q(w) be the third derivative of -w**5/60 + 7*w**4/24 - w**3/6 - 23*w**2. What is q(r)?
9
Suppose 4*o - 5*k + 3*k = 12, -5*k = 0. Let t(x) = x - 2. Give t(o).
1
Let d = 1861 + -1858. Let w(m) be the second derivative of 5/6*m**d - 7*m + 0*m**2 + 0. Determine w(-2).
-10
Let q(c) be the second derivative of c**5/20 - 3*c**4/4 - 5*c**3/3 + 7*c**2 - 104*c. Determine q(10).
14
Let p be -2*(-4 - (-1 - -2 - 4)). Suppose -5*a = -3*a + p. Let k(g) = 1 + 9*g**2 - g**2 + 3*g**2. Give k(a).
12
Let f(v) = 2*v + 1. Let j = -22 + 15. Let n(z) = 3*z + 1. Let c(d) = j*f(d) + 6*n(d). Let o(s) = -s + 7. Let r be o(5). Determine c(r).
7
Let z(l) be the third derivative of -l**6/120 + l**5/10 + l**3/3 + 4*l**2. Let w be 7 - (-3 + 2 - -2). What is z(w)?
2
Let j(b) be the third derivative of -b**5/10 + b**4/12 + b**3/6 + 2*b**2. Suppose 2*g - 3*n - 3 = g, 4*g - n - 1 = 0. Suppose -3 = -g*z + 3*z. What is j(z)?
-7
Let v(u) = -3*u**3 + 5*u**2 - 9*u - 36. Let z(h) = h**3 - h + 1. Let q(f) = v(f) + 4*z(f). Determine q(-6).
10
Let j(u) = -u**3 - 6*u**2 + 7*u - 3. Suppose -2*c + 1 + 9 = 0. Suppose 0 = 4*x + 3*a + 13, x + 32 = -0*x + c*a. What is j(x)?
-3
Let o = 24 + -22. Suppose 4*c + 3*s = 17, c - 4*c + o*s + 17 = 0. Let p(y) = -3 + y**3 + 2*y + 4*y**2 - 2 + c - 3. Calculate p(-3).
0
Suppose 2*s + 11 = j, -5*s + 2*s - 12 = 0. Let h(z) = z**3 - 5*z**2 + 3*z. Let b be h(j). Let y be 4/(-6) + (-24)/b. Let d(k) = -5*k + 1. Calculate d(y).
-9
Let n(z) be the third derivative of 11*z**5/120 - z**4/24 - 19*z**3/6 + 30*z**2. Let l(f) be the first derivative of n(f). Determine l(2).
21
Let h(b) = 12 + 5 - 4 + 2*b + 2. What is h(-11)?
-7
Let c = -1 - -6. Suppose 3*z = -2*n - 23, n + 5*z + 17 = -c. Let w(g) = -g**2 - 6*g - 1. Calculate w(n).
-8
Let c(o) be the third derivative of 2*o**2 + 1/10*o**5 - 5/6*o**3 + 0 - 1/12*o**4 + 0*o + 1/120*o**6. Let g(n) = -6*n. Let h be g(1). What is c(h)?
7
Suppose z + h + 14 = 4*z, -2 = -2*h. Suppose -5*g - 17 = -3*t - 53, -z*g + t + 42 = 0. Let k(o) = -o**2 + 8*o + 13. Calculate k(g).
4
Let c = 20 + -14. Suppose -r + 2*u = -0 - c, 0 = 2*u + 4. Suppose 3*k + 4 = 2*s, 0*s = -3*s - r*k + 19. Let j(w) = -2*w - 2. What is j(s)?
-12
Let q(i) = -8*i - 7. Let f(h) = 8*h + 6. Let r(s) = 6*f(s) + 5*q(s). Determine r(-2).
-15
Let k(j) be the first derivative of -j**5/24 + 20*j**3 - 17. Let b(g) be the third derivative of k(g). What is b(1)?
-5
Let v(k) be the second derivative of k**5/2 - k**4/4 + 2*k**3/3 + 6*k - 11. Give v(1).
11
Let v(l) = l + 10. Let w(o) = -2*o - 20. Let z(x) = -5*v(x) - 3*w(x). Give z(-8).
2
Let r(p) = 4*p - 28. Let s(o) = 10*o - 87. Let b(q) = 8*r(q) - 3*s(q). What is b(-17)?
3
Suppose -25 = -2*j - 31. Let c(o) = -o + 5. Let k be c(5). Let b(w) = 2*w - 1 - w + k. Give b(j).
-4
Let q(c) = 4*c**2 + 3. Let t(d) be the second derivative of 5*d**4/12 + d**3/6 + 3*d**2/2 - 9*d. Let m(a) = -3*q(a) + | {
"pile_set_name": "DM Mathematics"
} |
)/(-6). Suppose 0 = -r - 2*g + 22, -3*g + 0*g = 5*r - y. Solve 2 - r = 2*j for j.
-5
Let l = -8910 - -8925. Solve 195*h - l = 192*h for h.
5
Let s(m) = m**2 + 113*m + 112. Let t be s(-112). Solve t = -59*d + 36*d + 69 for d.
3
Let n(g) = 1616*g - 11275. Let j be n(7). Solve 106*z = -69 - j for z.
-1
Let x(f) = -f**3 - 2*f - 8. Let a be x(-2). Let k be 4 - (3 - a - 2*-2). Solve 0 = q - 2*q - k for q.
-1
Let a(l) = -1 + 5 - 450*l + 441*l + 1. Let b be a(-1). Solve n + 12 = b for n.
2
Let k be (-4)/(-20) + 57/15. Suppose -20*f + 24*f + 10 = 2*s, 4*f = k*s - 16. Solve -s*l + l = -9*l for l.
0
Let x = 75 + -36. Let s = -37 + x. Suppose 0 = -b + s. Solve -b*q - 2*q = -12 for q.
3
Suppose -2*m - 580 = 18. Let h = m + 302. Solve 0 = -h*u - 9 for u.
-3
Suppose 723*z + 252 = 741*z. Solve 77 = z*m + 21 for m.
4
Let p = 284 - 482. Let i = 203 + p. Solve i*o = 8 + 2 for o.
2
Suppose -78 = -4*n - 3*q + 99, 5*n - 4*q = 229. Solve 18*s + 63 = -n for s.
-6
Let b be ((-4867)/(-93))/(2/6). Let q = b - 157. Solve -1 = -r - q*r for r.
1
Let x be (5/4)/(1/(-64))*(-165)/220. Solve 7*s = -3*s + x for s.
6
Let w = 693 - 693. Let o(q) = -q**2 - 57*q + 10. Let h be o(w). Solve 44*v = 39*v + h for v.
2
Let j(p) = -p**2 + 32*p - 185. Let q be j(10). Solve 26 = 48*m - q*m for m.
2
Let p(d) = -d**3 + 21*d**2 - 14*d - 268. Let s be p(19). Solve -s*j + 186*j + 6 = 0 for j.
3
Let d(v) = v**2 - 118*v + 1183. Let l be d(11). Let j be (-15)/(-12) + 6/8. Solve -m = j*m + l for m.
-2
Let k be (3/9)/((-6)/342). Let c = k + 23. Suppose 0 = y + 1, 31*y = -2*l + 23*y + 4. Solve -c*q = -l*q + 8 for q.
4
Let m(n) = n**3 + 12*n**2 - 3*n - 3. Suppose -3*t - 37 = -g, -3 = 2*t - 3*g + 24. Let h be m(t). Solve -13 = -4*p - h for p.
-5
Let x(d) = 41*d**3 + 4*d**2 + 9*d + 11. Let z be x(-2). Let t = z + 321. Solve t*h + 69 = 61 for h.
-4
Let k = 10175 - 10151. Solve k*j + 27 - 123 = 0 for j.
4
Let m(z) = z**3 + 48*z**2 + 96*z + 306. Let f be m(-46). Solve f = 19*a + 27 for a.
5
Let z be 2 + (-15 + 15)/(1*-3). Suppose -n + 5*n - 4*o - 24 = 0, -o = -2*n + 9. Suppose 2*j + 5*c = 26, -18*c = -16*c - 8. Solve 0 = -z*a - j - n for a.
-3
Let m(u) = u**2 - 87*u - 361. Let y be m(-4). Let d be 5 - (-3)/(3 + 0). Solve y*t + 3 = d for t.
1
Let s(m) = m + 58. Let k be s(-16). Let t = k + -37. Let l(x) = -x**2 + 8*x - 12. Let o be l(4). Solve -t*d = -o*d - 1 for d.
1
Let g(x) = 6*x**2 + 2*x. Let s(v) = 3*v**2 + v. Let o(a) = -2*g(a) + 5*s(a). Let u be o(1). Solve u*h = -0*h + 16 for h.
4
Suppose l - 4*l + 2 = -w, 14 = -3*l + 5*w. Suppose -89 + 86 = -r. Suppose -4*c - r*b = l*b - 32, 4 = b. Solve 3 + 6 = -c*g for g.
-3
Let m(n) = 6*n + 24. Let q be m(-4). Let w = -67 - -71. Suppose -12 = -7*o + 4*o. Solve q*s - o*s = -w for s.
1
Suppose -3*t + 2*c = 12, 5*t + 2*c - 8 - 4 = 0. Solve t = -95*d - 434 - 326 for d.
-8
Let f = 58 + -55. Suppose -113 + 137 = f*m. Solve 4*n - 8 = m*n for n.
-2
Let t = -3841 - -3926. Solve 91 - t = 6*i for i.
1
Let d be (39 - (-1344)/(-228)) + (-2)/19. Solve -d = 9*g - 15 for g.
-2
Let w be 2/1 - 6 - -14. Suppose 4*d + 23 = g, -d - w = 4*d. Suppose 5 = -5*s + 30. Solve s*m + 0*m = g for m.
3
Let o(h) = 3*h - 11. Suppose 3*m + 5*f = 3*f + 11, -2*m - 2*f + 4 = 0. Let s be o(m). Let a be 25/10*8/s. Solve 0 = -2*w + a for w.
1
Let d = -28 - -455. Suppose 4*i = -155 + d. Let m = 72 - i. Solve -8 - 12 = m*w for w.
-5
Let n(d) = 36*d**2 - 137*d - 20. Let l be n(4). Solve -l*s - 128 = -80 for s.
-6
Let t = 1543 - 997. Let g = 552 - t. Solve 3*d = 3 - g for d.
-1
Let z(m) = 8*m**2 + 77*m - 6. Let s be z(-11). Solve s*k - 124*k = -45 for k.
5
Suppose 5*t - 2*q - 425 = 703, t + 2*q = 240. Solve -t = -7*k - 235 for k.
-1
Let y be 12/(-1 - -3)*3/(-9). Let q be 12*6/18*4/y. Let g be (-11)/(-4) + q/(-32) + 2. Solve g*p + 3 = -12 for p.
-3
Let d be (345/(-207))/((-20)/1296). Solve -d*x - 25 = -103*x for x.
-5
Suppose 336 = 23*y - 7*y. Suppose 31 - y = 10*k. Solve -d - k = 3 for d.
-4
Suppose -5*y - 152 = -3*t, 4*t - 5*y - 208 = -y. Let i = -46 + t. Solve 0 = -38*n + 34*n + i for n.
2
Suppose 0 = -2929*d + 2919*d + 760. Solve 5*b + d = 96 for b.
4
Suppose 0 = -2*s - 12, -3*s = -2*v - 8*s + 26. Solve 340*q + v = 333*q for q.
-4
Suppose -w + 22 = 4*j - 174, -2*j + 5*w = -120. Let n(m) = -m**3 - 13*m**2 + 13*m + 41. Let y be n(-14). Let p = y - j. Solve -p*g = 1 + 9 for g.
-2
Let w(l) = -22*l - 202. Let g be w(-10). Solve 95*a - 89*a - g = 0 for a.
3
Let r be 98 - (-11 + 17)/(2*-1). Suppose 6*b = 7*b - r. Let w = 104 - b. Solve m + 4 = w for m.
-1
Suppose 12*n - 13*n - 2*t = -4, 0 = -4*n - 2*t + 34. Solve 0 = -n*d - 19*d + 174 for d.
6
Suppose 26*a - 22*a + 2*c - 158 = 0, 5*a - 5*c - 175 = 0. Let z(r) = -4*r**2 + 2. Let g be z(-3). Let n = a + g. Solve 13 + 7 = -n*f for f.
-5
Suppose -4*w = -6*w + 6. Let v be 0 - w - (8 + -32). Suppose -3*k = 4*u - v, -2*u + 3*k - 3 + 0 = 0. Solve -u*p + 8 = p for p.
2
Suppose 245*f - 8010 - 169 = -829. Solve -24 + f = 6*s for s.
1
Suppose 3*x + 1 = -2*q + 4*x, -3*q - 2*x + 2 = 0. Suppose 2*u + 4*c - 4 - 18 = q, u = c - 1. Solve -10 = u*b + 2*b for b.
-2
Let k(g) = -2*g**2 + 50*g + 7. Let w be k(25). Let d be ((-14)/(-6))/w + 76/6. Solve -14*y = -d*y + 3 for y.
-3
Suppose -33 = -219*z + 208*z. Suppose 3*n - 61 = 4*m, 2*m - 7 = z. Solve u - n = -32 for u.
-5
Let c(y) = y**3 + 12*y**2 + 2. Let w be c(-12). Suppose 5*f = -w*d, f + 0*f = 2*d. Suppose -4*v - 6 = 4*k - 50, -5*k + v = -37. Solve -2*s + d = k for s.
-4
Let f = 69 + -52. Let w = f - 4. Suppose 0 = -3*p + 2*c + w + 4, 2*p + 4*c = -10. Solve -p*h - 2*h = -20 for h.
4
Let k(h) = h**3 + 15*h**2 + h + 22. Let n = 147 - 162. Let g be k(n). Solve -g*r + 10 = -18 for r.
4
Let i be (-342)/(-3)*6/9. Let n = 81 - i. Let c(r) = -r**3 - 2*r**2 + 4*r + 3. Let a be c(-3). Solve -n*m + 2*m + 12 = a for m.
4
Let u = -564 + 37. Let y = -518 - u. Solve -11*l = -y*l - 10 for l.
5
Let u(p) = 4*p**2 + 6*p + 12. Let s be u(-3). Suppose s*n - 24 = 27*n. Suppose 14*q - 6*q = n. Solve d + 3 + q = 0 for d.
-4
Let j be -84 - (5 - 1)/1. Let i = 90 + j. Suppose 3*f + s - 2 = 9, -2*s + 4 = -3*f. Solve i*u + f*u = 20 for u.
5
Let p = -8060 - -8082. Solve 8*j = -2 - p for j.
-3
Let l = -5 + 21. Suppose 4*z - 25 = -3*y, l = -y + 5*z - 1. Solve -y*i + 6 = -5*i for i.
-3
Suppose -37*b + 40*b = -190*b + 965. Let c be 0*((-1)/2 + 1). Solve -b = k - c for k.
-5
Suppose 5*o - 8*x - 56 = -10*x, -5*o + 53 = x. Let v be (15 - 15)/(2/(-2)). Suppose v = 2*y - 6*y + 8. Solve 0*j + o = -y*j for j.
-5
Suppose -j + 22*w - 24*w + 3 = 0, -5*j + 2 = -3*w. Suppose -g + 10 = 8. Solve -g*l = -l + j for l.
-1
Let h be 3/6*24/6*5. Suppose 3*u - f - h + 6 = 0, -3*f + 12 = 3*u. Let l = 0 + 1. Solve u*s = 3*s + l for s.
-1
Let m(n) = n**2 + 15*n + 18. Let f be m(-14). Suppose u - 75 = -f*u. Let v be (u + -5)*(-4)/(-10). Solve -v*s - 12 = -0*s for s.
-3
Suppose -26 = 5*i + 24. Let a be ((-16)/i)/((-10)/(-75)). Let z = -29 + 32. Solve -z + a = 3*y for y.
3
Let w(k) = 3*k**3 + 2*k**2 - 5*k + 7. Let d = 117 - 115. Let p be w(d). Solve 0 = -p*q + 25*q for q.
0
Suppose 540 = 2*t - 4*c, -5*t - 2*c = -1517 + 107. Let w = 283 - t. Solve 0 = -2*i + w - 7 for i.
-2
Let k be ((-98)/(-4))/7 + (-45)/(-30). Suppose 5*t = k*j - 25, -15*j + 12*j - 4*t = -15. Solve j*h = 2*h - 3 for h.
-1
Let k(o) = -8*o**2 - o + 4. Let g(z) = -23*z**2 - 2*z + 11. Let p(d) = 6*g(d) - 17*k(d). Let b be p(3). Let s be (-4 - 1)/(b/10). Solve 0 = 7*j - 2*j - s for j.
2
Suppose 0 = 4*t - 3*a - 67, 7*a - 2*a - 59 = -4*t. Solve 126 - 78 = -t*z for z.
-3
Suppose -5*k = -u + 4, -u + k = 8*u - 300. Solve -34 + u = 9*l for l.
0
Suppose -7*i = -6*i + 5*p + 10, 0 = -2*p - 4. Suppose -45*g + 38*g + 28 = i. Solve -g*z + 11*z = 35 for z.
5
Suppose 17 = 4*l - q, 11 + 15 = 2*l - 4*q. Suppose 4 - 7 = l*p - 3*n, 4*n = -3*p + 32. Solve -4*b = 8 + p for b.
-3
Suppose -2*x = -10 + 2. Suppose -3*s - x*k = -37 - 1, 2*k = 10. Let l be 19/5 + s/30. Solve o + 3*o = l for o.
1
Let x(p) = p**2 + 10*p + 14. Let m be x(-9). Suppose 0*n - n = 4*v + 4, 5*n - 10 = -m*v. Solve n*b = 6 - 10 for b.
-1
Suppose 4*t - 304 = 12*j, 4*j = -3*t + 9*j + 204. Solve 70*y = t*y for y.
0
Let k = -41 + 44. Suppose k*x - 71 = v, 2*v = -x + 6*v + 9. Solve 3*z - x = 8*z for z.
-5
Suppose h - 407 = 2*p - 4281, 2*p - 5*h - 3890 = 0. Solve p*w = 1937*w - 6 | {
"pile_set_name": "DM Mathematics"
} |
12*d + 2. Suppose 63*h - 44 = 5*n + 61*h, 3*n + 2*h + 4 = 0. Calculate i(n).
6
Let o(t) = 3*t**2 - 92*t - 29. Let h(x) = 2*x**2 - 46*x - 15. Let z(a) = -7*h(a) + 4*o(a). Let w be z(-23). Let j(r) = -r**2 - 11*r - 4. Calculate j(w).
-4
Let y(w) be the second derivative of -5*w**3/6 - 12*w**2 - 1938*w. Give y(-5).
1
Suppose 9 + 11 = -4*s. Let d(p) = -p**3 - 5*p**2 - p - 6. Let m be d(s). Let i(f) = -21*f + 1. Give i(m).
22
Suppose 3*g - 4*p - 14 = 0, -g - 2*p + p = 0. Suppose -d - 25 = -5*v, 3 = g*d - v + 8. Let a(w) = -w**2 - w + 5. Give a(d).
5
Let t(u) = 3 + 1642*u**2 - 812*u**2 - 4 - 828*u**2 - 2*u. Suppose -2*k + 2 = -0. Suppose 3 = p - k. Calculate t(p).
23
Let u(r) = -r + 9. Let q(o) = -o**2 + 8*o - 8. Let m be (4/(-5))/(6/(-60)). Let s be q(m). Let p be 119/28 + 2/s. Give u(p).
5
Suppose 0*x - 2*x - 4*u = -4, -3*u + 12 = 3*x. Let y(h) = 6*h + 7. Let r(f) = 7*f + 9. Let k(p) = x*y(p) - 5*r(p). Calculate k(5).
2
Let v(y) = 13*y**2 - 3*y + 25. Let j(q) = -8*q**2 + 2*q - 13. Let l(t) = -7*j(t) - 4*v(t). Let m be l(0). Let g(k) = k**3 + 10*k**2 + 11*k + 10. Determine g(m).
-8
Let s(t) = 2*t - 52. Let u be (((-238)/98)/(-17))/((-2)/(-154)). What is s(u)?
-30
Let t(x) = 74*x**2 - 42*x**2 - 39*x**2 - 1. Suppose -16 = -1982*j + 1990*j. What is t(j)?
-29
Let o(x) = x**3 - 98*x**2 - 201*x + 98. Let l be o(100). Let r(d) = -5*d**2 + 6*d - 1. Calculate r(l).
-33
Let g be ((-220)/15)/((-9)/54). Let z(j) = -93*j - 2*j**2 + g*j + j**2 + 1. Give z(-7).
-13
Let y(b) = -b**3 + b**2 + b. Let m = 209 + -206. Let d = 3 - 0. Suppose -i = d*z + 2 - m, -5*z + 4*i = -30. Calculate y(z).
-2
Let a(x) be the first derivative of x**3/3 - 41*x**2/2 + 3*x + 3195. Determine a(41).
3
Let f be ((-10)/(-4))/(2/4). Suppose -168*t - 321*t - 23*t + 5120 = 0. Let d = f - t. Let u(a) = a**2 + 4*a - 2. Calculate u(d).
3
Suppose -34*h - 221 + 17 = 0. Let l(r) = 3*r + 4. Let b(w) = -w + 1. Let y(d) = 2*b(d) + l(d). Determine y(h).
0
Suppose 0 = -y + 2*y - 72. Let t be (1 + 0)*(-16)/y*-9. Let i(w) = -w - 4 + 2*w + 8 + 2*w**t - 3 + w**3. What is i(-1)?
1
Let t be -18*(-21 - -22)*(-1)/(-3). Let j be (-2)/t - 899/87. Let k(i) = -i**2 - 13*i - 35. Give k(j).
-5
Let b = -111/7 - -13327/840. Let p(q) be the third derivative of 17*q**2 - b*q**6 + 0*q - 1/8*q**4 - 1/6*q**3 + 0 - 1/30*q**5. What is p(-2)?
5
Suppose r - 12 = -r. Suppose 0*n + 4*n - 2*u + r = 0, -4*n = 4*u + 12. Let i(y) = 130*y + 1. Let z(s) = -19*s. Let w(k) = -i(k) - 7*z(k). Determine w(n).
-7
Let x(d) = -55*d + 10. Let s be -18 + (-1725)/(-92) + (9/(-12))/(-3). Give x(s).
-45
Let g be (-1)/(4/(-44)) + -5. Let z(i) = g + 578*i + 14*i**2 + 15 - 592*i + i**3. Calculate z(-15).
6
Let m(n) = -n**3 + 8*n**2 - 13*n + 40. Let s be 21/(-9)*(-33)/11. Give m(s).
-2
Let x be -8*(-6)/(-26) + 76/(-494). Let r = -32 + 35. Let c(a) = -r*a**2 - 3*a - a**3 - 9*a**2 - 1 + 8*a**2. What is c(x)?
-3
Let c(q) be the second derivative of 1/6*q**3 - 5/12*q**4 + 1/2*q**2 - 5*q - 1/20*q**5 - 19. Calculate c(-5).
-4
Let w(o) = -o + 42. Suppose -60*q = 533 - 173. Calculate w(q).
48
Let q(f) be the second derivative of -f**5/20 - f**4/12 - f**3/2 - 5*f**2 - 1922*f + 2. Calculate q(-3).
17
Let w(n) be the first derivative of 2*n**3/3 + 9*n**2/2 + 4*n - 3081. Suppose -9 = 3*y - 0*r + 4*r, 4*y = -4*r - 16. What is w(y)?
39
Let z(g) = g**2 + 4*g + 7. Suppose -115 = 40*t - 45*t. Let r = t - 48. Let u be 0 + 1*r/5. Determine z(u).
12
Let i be (-74)/(-10) + ((-16)/(-10) - 2). Let y(z) = -i*z - 13*z - z**2 + 23*z - 6. Give y(6).
-24
Let i(q) = -72*q**2 - 2. Let r be i(2). Let m = 285 + r. Let w(z) = -z**3 - 5*z**2 + 3*z + 0*z + 0*z**2 - 3. Give w(m).
-18
Suppose -33*x = -68*x + 5*x - 1020. Let d(z) = -7*z - 254. Determine d(x).
-16
Let u = 225 - 209. Suppose -12*s + 4*s = u. Let o(l) be the third derivative of l**5/30 + l**4/6 + l**3/3 - 2*l**2. Calculate o(s).
2
Let d(m) be the second derivative of m**3/3 + 9*m**2/2 + m. Let w = 635 - 343. Let f = w - 299. What is d(f)?
-5
Let x = 10 + -7. Let w(o) = o**2 + 7*o**3 - 3*o**3 - x*o**3 - 10 + 0*o**3. Let l be 2 + (-24)/6 - (0 - 2). Calculate w(l).
-10
Suppose -2*a - 21 = -5*s, 4*s - 8 = 4*a + 4. Let l(u) = -9 + 8*u + 156*u**2 - 148*u**2 + u**3 - a*u**3. Determine l(9).
-18
Let t(q) = -30 + 2*q**2 - 36*q - 16*q**3 - 28*q + 3*q**2 + 58*q + 17*q**3. Give t(-4).
10
Let b(s) be the first derivative of -s**5/60 + 11*s**4/24 - s**3/3 - 8*s**2 - 90. Let a(x) be the second derivative of b(x). Calculate a(11).
-2
Let p(z) = z**2 - 17*z - 1. Suppose -2*f = 5*h - 28, 4*h - 27 + 97 = 5*f. Give p(f).
-43
Let z(d) = d**3 - d**2 - 11*d - 12. Suppose q + h = -9, -2*q - 4*h - 46 = -16. Determine z(q).
-15
Let a(s) = 4*s**3 - 1. Let x = -59 - -57. Let k be (-4 - 5 - -5)*4/x. Suppose -b = -9 + k. What is a(b)?
3
Suppose -288 = 101*h - 197*h. Let i(k) = 3*k - 7. Let a(q) = 6*q - 13. Let p(t) = -6*a(t) + 11*i(t). What is p(h)?
-8
Suppose 3*b + 2*b - 92 = 3*z, -4*b + 84 = -5*z. Suppose -t - b = 2*m, -m + 3*t - 1 = 14. Let p(s) = s**3 + 8*s**2 - 8*s + 1. Give p(m).
-8
Let h(u) = 2*u - 3. Let g(r) = r - 29 + 2 - 7*r. Suppose 0 = 18*j + 5*j - 30*j - 35. Let y be g(j). Calculate h(y).
3
Let f(l) = -2*l**3 - 23*l + 108. Let x(d) = -5*d**3 - 2*d**2 - 58*d + 271. Let w(j) = -13*f(j) + 5*x(j). Calculate w(10).
41
Let i(y) = -y**3 - 4*y - 4. Let g(q) = -q - 1. Let d(r) = -5*g(r) + i(r). Suppose -n - 2*j - 3 = 2, 5*n - 2*j = 23. Suppose 0 = n*w + 4*w. Determine d(w).
1
Let y(x) = 15*x**3 + 3*x**2 - 7*x + 4. Suppose -10*o + 30 = 5*o. Calculate y(o).
122
Let d = -6 + 8. Let t(k) = k**3 - 6*k**2 + 4. Let p(u) be the first derivative of u**4/2 - 2*u**3 + 3*u + 64. Let s(v) = d*p(v) - 3*t(v). Give s(-6).
-6
Let w(p) = 2*p + 3*p**3 - 4 - 2*p**3 + 17 + 9*p**2. Suppose -4*r = -5*i - 117, 578*r = 573*r + 134 - 44. Calculate w(i).
-5
Let t(f) = -1521*f - 10640. Let l be t(-7). Let c(x) = x**2 + 18. Calculate c(l).
67
Let d(h) = h**3 + 82*h**2 + 311*h - 76. Let r be d(-78). Let g(p) = -16*p**3 + 3*p**2 + 2*p - 8. Give g(r).
-120
Let p(q) = -q**3 - q + 1. Suppose 22*z - 26 = -4. Let y(a) = 4*a**3 + 7*a**2 + 7*a - 12. Let t(s) = z*y(s) + 5*p(s). What is t(7)?
7
Let r(a) = -a**3 + 4*a**2 - 2*a - 2. Let j be 7*(-2)/(-105) - (-206)/30. Suppose -j*v + 16*v = 54. Suppose v*p - 13 = -1. Give r(p).
2
Suppose -2*t + 31 = 15. Let w(y) = 6 - 150*y + 7*y**2 + 2*y**3 - 3*y**3 + 157*y. Give w(t).
-2
Let b = 128 - 120. Suppose 0 = q - 3*v + 1, 4 = -4*q + b*q - 4*v. Let w(t) = -t + 4. What is w(q)?
2
Let w(h) = h**2 + 8*h + 6. Let s be w(-4). Let y(k) = 5*k - 10*k + 2 + 7 - 2*k - 7431*k**2 + 3714*k**2 + 3716*k**2. What is y(s)?
-21
Let q(d) = d**3 - 6*d**2 + d - 2. Let f(a) = 13*a - 3. Let p be f(9). Let n = -108 + p. Calculate q(n).
4
Let z(l) = -20704076 - l**2 + 0*l**2 + 19*l + 20704049. What is z(22)?
-93
Let a(g) = g**2 - 8*g - 7. Suppose -55*w = -65*w + 1580. Suppose -4*y + w - 126 = 0. Determine a(y).
-7
Let t(h) = h**2 + 5*h - 7. Let m be 4 + ((-16)/8)/((-4)/(-14)). Determine t(m).
-13
Let p(q) be the second derivative of -q**6/360 + 9*q**4/8 - 2*q**3/3 - 39*q**2/2 - 4*q + 5. Let s(x) be the second derivative of p(x). What is s(0)?
27
Let y(u) = 5*u + 11. Let z(s) = s + 2. Suppose 5*f + 0*l + 15 = 5*l, -4*f + 5*l - 11 = 0. Let x(n) = f*y(n) + 22*z(n). What is x(0)?
0
Let v(t) = 23*t - 167. Let r be 294/(-98)*(-7)/3. Give v(r).
-6
Let l(u) = 3*u - 4. Suppose -11*r + 134 = -42. Suppose 0 = -0*f - r*f + 160. Let a(y) = y**2 - 9*y - 7. Let o be a(f). Determine l(o).
5
Let q(t) = 3281 - 120*t + 115*t - 3039. Determine q(47).
7
Let z(v) = v**3 - 3*v**2 + 6*v - 6. Suppose -22*a - 1458 = 5*a. Let t be ((-7)/((-42)/(-16)))/(36/a). Give z(t).
34
Let u(a) = -4*a**2 + 23*a + 40. Let d be u(7). Let g(z) = -z**3 + 5*z**2 + 2*z + 3. Determine g(d).
13
Let k(p) be the second derivative of -p**2 - 2/3*p**4 - 45*p + 0 - 1/20*p**5 - 1/6*p**3. Determine k(-8).
6
Let v(j) = -1. Let b(i) = i**3 - 4*i - 9. Let r(f) = b(f) - 5*v(f). Suppose -327 + 311 = 4*y + 2*c, -20 = 5*c. What is r(y)?
-4
Suppose -3 = -85*q + 88*q. Let s be 1/(-3) + q/(-3). Let d(f) = f**2 - f + 3. What is d(s)?
3
Let c(t) be the second derivative of -1/20*t**5 - 2*t**2 - 7/12*t**4 + 3 - 8*t + 1/3*t**3. Give c(-7).
-18
Suppose 2*v + 5*t = -1, -t - 4*t - 15 = 0. Let b(w) = -8*w**3 + 2*w + 4. Let p(s) = 18*s**3 + | {
"pile_set_name": "DM Mathematics"
} |
ose k*w = 44*w + 10. What is the remainder when 7 is divided by w?
2
What is the remainder when 1466*(390/20 - 19) is divided by 11?
7
Suppose 159*h + 145 + 9 = 173*h. Calculate the remainder when 527 is divided by h.
10
Let p(l) = -l**3 - 4*l**2 - 5. Let n be p(-4). Let u be 16 - (10*-1)/n. Suppose u*s - 9*s = 20. Calculate the remainder when 5 is divided by s.
1
Suppose 2*r - 552 = -76. Let u be r/22 - 20/(-110). What is the remainder when 495/u - (1 + 1) is divided by 23?
20
Let s = 151 - 306. Let j = s + 159. Calculate the remainder when 9 is divided by j.
1
Let o = 19 - 14. Suppose -2*p - 2*r = p + o, -8 = -4*p + r. Calculate the remainder when 158 is divided by (176/(-110))/(p/(-25)).
38
Suppose -3*g + 360 = 4*y, -5*g - 13*y = 127 - 708. Calculate the remainder when 612 is divided by g.
116
Let n(x) = x**2 - 26*x - 712. Calculate the remainder when 109 is divided by n(-18).
29
Suppose 0 = -34*o + 3797 + 2867. Suppose -x - 5*q + 56 = 0, 3*x + 2 = -2*q + o. What is the remainder when x is divided by 17?
15
Suppose 43*v - 143*v = -36*v - 83584. Calculate the remainder when v is divided by 32.
26
What is the remainder when (-65840)/(-64)*192/120 is divided by 163?
16
Suppose 5*z + 2*v = v + 100, -2*z = -5*v - 67. Suppose -18*u + 4968 = 36*u. What is the remainder when u is divided by z?
8
Let d = 3146 + -3134. What is the remainder when 112 is divided by d?
4
Let q(p) = p**3 + 8*p**2 + 7*p + 5. Let t be q(-7). Calculate the remainder when (0 - -60) + t + -5 is divided by (4/30*18)/((-9)/(-60)).
12
Let p = 2 - -22. Let t = 2495 - 982. Let h = t - 1373. Calculate the remainder when h is divided by p.
20
Suppose 201 = 4*g - 3*v + 2*v, 5*g - 4*v = 254. Suppose 9*q + 1423 = 451. What is the remainder when g is divided by 42/4*144/q*-1?
8
Let w = 10 - 5. Suppose -2*l = -w - 37. Calculate the remainder when l is divided by (-4)/(-10) - (-2030)/175.
9
Let h(j) = -340*j + 4199. Calculate the remainder when 23559 is divided by h(12).
116
Let p = 1648 - 1645. Let m = 31 - 3. Let v = m - p. What is the remainder when v is divided by 9?
7
Suppose 0 = 4071*b - 3942*b - 1548. Suppose -4*a + 141 + 47 = -i, 0 = 5*a - 2*i - 238. Calculate the remainder when a is divided by b.
10
Let s(v) = 18*v**2 + 6*v + 28. Let l be s(6). Calculate the remainder when 2/((4/10)/(l/40)) is divided by 15.
14
Calculate the remainder when (-1874 - -8)/(-6) - (0 - 3) is divided by 160.
154
Let q = -4169 - -4702. What is the remainder when 1621 is divided by q?
22
Let q be (-5 - (3 + 0))*-5. Suppose -q = 27*l - 17*l. Calculate the remainder when 88 is divided by ((-20)/l - 1) + 20.
16
Let n(u) = -u**3 + 25*u**2 - 23*u + 5. Suppose -2*i = -2*p + 138, -20*i = -3*p - 22*i + 187. Calculate the remainder when p is divided by n(24).
7
Let j be -4 + 5 + (-1 - -2). Suppose j*a = 2*n - 3*n + 133, -5*a = 2*n - 266. Calculate the remainder when n is divided by 34.
31
Let c(j) = j**3 + 40*j**2 - 156*j + 941. What is the remainder when 187 is divided by c(-44)?
4
Let l = 21194 - 21091. Calculate the remainder when 1649 is divided by l.
1
Let a be (-96)/(-16) + 3/((-6)/4). Suppose 0*q - 2*t = 5*q - 32, -4*t + 28 = a*q. Suppose -r - 115 = -q*r. Calculate the remainder when r is divided by 6.
5
Let t be 6/12*(-3 + 195). Let v = t + -39. Suppose 0*x - i = -3*x + 94, -i - 4 = 0. What is the remainder when v is divided by x?
27
Let c(y) = y**2 - 4*y - 18. Let s be c(7). Let i(b) = 3 + b + s*b + 1 - 3*b. Calculate the remainder when 50 is divided by i(9).
11
Suppose 202*o - 200*o = 3*a - 423, 0 = -3*a + o + 423. Calculate the remainder when 980 is divided by a.
134
Suppose 431 = -11*s + 3951. Calculate the remainder when 108 is divided by (s/(-6))/5*36/(-16).
12
What is the remainder when 454 is divided by 36*2*73/219?
22
Let z = 343 + -347. What is the remainder when z - -6 - (-2 - (2 + 73)) is divided by 22?
13
Let q(k) = 31*k**2 + 7*k - 192. What is the remainder when q(16) is divided by 262?
258
Let j = -15178 - -15378. What is the remainder when 734 is divided by j?
134
Suppose 910 + 1894 - 19 = 5*h. Calculate the remainder when h is divided by 21.
11
Suppose l + 3*l = 20. What is the remainder when 1 is divided by (2/l)/((-6)/150*-10)?
0
Let m = -38 + 90. Let c(d) = 68*d - 134. What is the remainder when c(5) is divided by m?
50
Let c(g) = 6 + 78*g**2 - 24*g**2 + 8*g - 24*g**2 - 29*g**2. Calculate the remainder when 353 is divided by c(5).
69
Let d = 20 + -7. Let t(u) = -2*u - 10. Let z be t(0). Let k = 59 + z. What is the remainder when k is divided by d?
10
Let m be (203/28 + -7)*0. What is the remainder when 108 is divided by (144/(-6))/(-3) - m?
4
Suppose -937*v + 2112 = -873*v. Let d = -61 - -185. Calculate the remainder when d is divided by v.
25
Let y = -1797 - -1859. What is the remainder when 2415 is divided by y?
59
Suppose -2543234 = 177*q - 8212367. What is the remainder when q is divided by 364?
361
Suppose 3*o = h - 1127, -o = -5 + 3. Suppose -10*r - h = -3803. What is the remainder when r is divided by 15?
12
Suppose -4*f = -36 + 12. Suppose 3*h = t + 2*t - f, -4*t + 5 = -5*h. Suppose -t*l = 2 - 42. What is the remainder when l is divided by 3?
2
Let k = 504 + -365. Calculate the remainder when k is divided by (5 + -33)*(-1)/1.
27
Suppose s = 22 - 2. Suppose 0 = -k - s*k + 168. What is the remainder when 37 is divided by k?
5
What is the remainder when 6/9*(-1)/(10/(-96690)) is divided by 16?
14
Let g(y) = -y**2 + 81. Let n be g(0). Let k be n - (3 - (-2 + 1)). What is the remainder when (-1)/7 - (-1628)/k is divided by 12?
9
Suppose -124*c = -126*c - 3*q + 106, 2*c = 4*q + 78. What is the remainder when 134 is divided by c?
40
Let n(j) = -4*j**2 + 31*j - 43. Let c(t) = -2*t**2 + 15*t - 22. Let w(u) = -5*c(u) + 2*n(u). What is the remainder when w(7) is divided by 16?
15
Suppose s - 48 = -2*s. Suppose -6*t + 3*t = -5*t + 50. Calculate the remainder when t is divided by s.
9
Let y(a) = -3*a**3 - 2*a**2 + 4*a + 3. Let k be y(2). What is the remainder when 5/(-35) - 2733/k is divided by 71?
59
Suppose -389 = -u - 4*u + 301. Calculate the remainder when 821 is divided by u.
131
Let f = -363 + 374. Let l(j) = 11*j - 9. What is the remainder when l(3) is divided by f?
2
Let j be (5 - 3) + (-2)/(-1). Suppose -j*w + 38 + 6 = 0. What is the remainder when w is divided by -5 - (46/(-69))/(2/24)?
2
Let o(f) = f**3 - 22*f**2 - 23*f - 24. Let b be o(23). Let r = 35 + b. Calculate the remainder when 85 is divided by r.
8
Let o(w) = -2*w**3 + 52*w**2 - 4*w + 47. Let i be o(26). Calculate the remainder when (132/10)/(i/10 + 6) is divided by 15.
14
Let r(v) = v + 8. Let y be -2 + -1 + 0 + (-8)/4. Let q be r(y). Suppose -q*i - b = -0*b - 26, 5*i + 3*b = 38. What is the remainder when 58 is divided by i?
8
Let o = -60 - -102. Suppose 64*g = 4*m + 67*g - 75, -4*m + 5*g + 35 = 0. Calculate the remainder when o is divided by m.
12
Suppose 5*q + 4*k - 11 - 24 = 0, -5*q + k = -10. Suppose 4*r + 176 = q*r. Calculate the remainder when 39 is divided by 2/(-4)*r/(6 + 2).
6
Let w(j) = -j**3 + 5*j**2 - j - 15. Let d be w(4). What is the remainder when (24/(-40))/(d*(-1)/(-435)) is divided by 51?
36
Let g(m) = m**3 + 8*m**2 + m + 7. Let i be g(-7). Let k = 2002 + -1963. Let y = i - k. Calculate the remainder when 24 is divided by y.
4
Let v = 8445 - 8413. What is the remainder when 78 is divided by v?
14
Suppose 0 = 132*j - 187*j + 22000. What is the remainder when j is divided by 103?
91
Suppose -3*q - 5*u + 2617 = 183, q + 5*u - 828 = 0. What is the remainder when q is divided by 199?
7
Let g = -95 + 99. Suppose 5*j + 435 = g*m, -2*m = -m + 4*j - 135. Let d = 20 - -19. Calculate the remainder when m is divided by d.
37
Suppose -6*i + 204 = -3*i. Let k = i - 47. What is the remainder when 70 is divided by k?
7
Let j(i) = -362*i - 141. Let l be j(-3). Suppose 756 = 4*a + 2*f, 0*f = 5*a - 3*f - l. Calculate the remainder when a is divided by 40.
29
Let o(j) = -j + 70. Let s(k) = -2*k - 2. Let m(u) = o(u) + 5*s(u). Calculate the remainder when m(-7) is divided by 39.
20
Suppose -77*r - 4*y = -73*r - 4784, 0 = -r - 3*y + 1194. Calculate the remainder when r is divided by 25.
22
Let o(g) = -g**2 + 35*g - 99. Let p be o(30). Let x = -8 + 11. Suppose -p - x = -6*s. What is the remainder when 43 is divided by s | {
"pile_set_name": "DM Mathematics"
} |
many minutes are there between 5:08 PM and 4:50 AM?
702
What is 154 minutes after 9:21 AM?
11:55 AM
How many minutes are there between 4:25 PM and 12:41 AM?
496
What is 703 minutes before 10:35 AM?
10:52 PM
What is 402 minutes before 3:40 AM?
8:58 PM
How many minutes are there between 3:49 PM and 3:58 PM?
9
What is 505 minutes after 11:29 PM?
7:54 AM
How many minutes are there between 7:03 PM and 4:33 AM?
570
What is 710 minutes after 7:40 PM?
7:30 AM
How many minutes are there between 4:07 AM and 3:27 PM?
680
What is 331 minutes before 8:46 PM?
3:15 PM
How many minutes are there between 3:36 AM and 9:21 AM?
345
How many minutes are there between 1:22 AM and 11:21 AM?
599
What is 543 minutes before 4:39 AM?
7:36 PM
What is 244 minutes after 2:25 AM?
6:29 AM
What is 359 minutes after 10:00 PM?
3:59 AM
How many minutes are there between 2:41 PM and 11:31 PM?
530
What is 456 minutes before 2:53 PM?
7:17 AM
How many minutes are there between 4:42 PM and 7:22 PM?
160
How many minutes are there between 4:52 AM and 5:51 AM?
59
How many minutes are there between 8:02 PM and 10:17 PM?
135
What is 238 minutes before 4:11 PM?
12:13 PM
How many minutes are there between 12:06 AM and 10:13 AM?
607
What is 296 minutes after 11:56 PM?
4:52 AM
What is 410 minutes after 11:30 PM?
6:20 AM
How many minutes are there between 10:36 AM and 6:49 PM?
493
What is 667 minutes after 4:58 AM?
4:05 PM
How many minutes are there between 10:25 PM and 6:49 AM?
504
How many minutes are there between 5:03 AM and 2:36 PM?
573
What is 223 minutes before 2:26 PM?
10:43 AM
How many minutes are there between 8:31 PM and 6:36 AM?
605
How many minutes are there between 1:56 PM and 6:49 PM?
293
How many minutes are there between 3:14 PM and 1:32 AM?
618
What is 657 minutes after 1:00 AM?
11:57 AM
What is 50 minutes after 3:22 AM?
4:12 AM
How many minutes are there between 12:29 PM and 3:07 PM?
158
How many minutes are there between 12:47 PM and 3:37 PM?
170
How many minutes are there between 1:10 AM and 3:00 AM?
110
What is 277 minutes after 7:36 AM?
12:13 PM
What is 14 minutes after 11:46 PM?
12:00 AM
What is 289 minutes after 3:39 AM?
8:28 AM
What is 63 minutes after 10:20 PM?
11:23 PM
How many minutes are there between 1:57 PM and 1:51 AM?
714
What is 410 minutes after 11:00 AM?
5:50 PM
How many minutes are there between 8:53 AM and 4:41 PM?
468
How many minutes are there between 4:26 PM and 6:21 PM?
115
What is 132 minutes before 4:40 PM?
2:28 PM
How many minutes are there between 10:44 PM and 1:19 AM?
155
How many minutes are there between 6:46 PM and 12:03 AM?
317
How many minutes are there between 3:16 AM and 8:26 AM?
310
How many minutes are there between 1:55 AM and 7:37 AM?
342
How many minutes are there between 8:27 AM and 12:10 PM?
223
How many minutes are there between 1:13 PM and 5:33 PM?
260
What is 41 minutes before 11:35 AM?
10:54 AM
How many minutes are there between 12:37 PM and 1:21 PM?
44
What is 419 minutes after 1:15 AM?
8:14 AM
How many minutes are there between 9:46 AM and 10:37 AM?
51
How many minutes are there between 8:47 AM and 2:53 PM?
366
How many minutes are there between 12:26 AM and 4:36 AM?
250
How many minutes are there between 1:03 PM and 10:59 PM?
596
What is 202 minutes before 9:40 AM?
6:18 AM
What is 291 minutes before 8:08 PM?
3:17 PM
How many minutes are there between 8:23 AM and 11:02 AM?
159
How many minutes are there between 9:04 AM and 9:40 AM?
36
What is 670 minutes after 11:22 PM?
10:32 AM
What is 41 minutes before 3:10 PM?
2:29 PM
How many minutes are there between 9:10 PM and 10:00 PM?
50
How many minutes are there between 3:05 PM and 8:29 PM?
324
How many minutes are there between 1:09 PM and 4:31 PM?
202
What is 678 minutes after 11:20 AM?
10:38 PM
How many minutes are there between 12:29 PM and 7:17 PM?
408
How many minutes are there between 4:26 PM and 12:27 AM?
481
What is 466 minutes after 11:24 PM?
7:10 AM
How many minutes are there between 10:50 AM and 11:49 AM?
59
What is 12 minutes after 6:43 PM?
6:55 PM
How many minutes are there between 7:09 AM and 11:39 AM?
270
What is 366 minutes after 9:26 AM?
3:32 PM
What is 141 minutes after 5:46 PM?
8:07 PM
How many minutes are there between 2:37 AM and 1:29 PM?
652
What is 160 minutes before 12:28 PM?
9:48 AM
How many minutes are there between 8:59 AM and 5:49 PM?
530
How many minutes are there between 10:35 PM and 3:18 AM?
283
What is 166 minutes before 7:08 PM?
4:22 PM
What is 591 minutes before 1:55 PM?
4:04 AM
What is 710 minutes before 10:30 PM?
10:40 AM
What is 514 minutes after 8:41 AM?
5:15 PM
What is 459 minutes before 5:58 PM?
10:19 AM
How many minutes are there between 6:35 AM and 4:03 PM?
568
What is 110 minutes before 9:22 AM?
7:32 AM
How many minutes are there between 8:26 PM and 4:28 AM?
482
How many minutes are there between 8:13 PM and 7:50 AM?
697
What is 643 minutes before 2:53 AM?
4:10 PM
What is 689 minutes before 11:45 PM?
12:16 PM
How many minutes are there between 8:15 AM and 8:27 AM?
12
What is 166 minutes after 8:40 AM?
11:26 AM
What is 44 minutes before 9:20 PM?
8:36 PM
How many minutes are there between 10:23 PM and 3:54 AM?
331
What is 321 minutes after 9:39 PM?
3:00 AM
How many minutes are there between 5:55 PM and 8:29 PM?
154
How many minutes are there between 1:50 PM and 10:57 PM?
547
How many minutes are there between 11:13 AM and 6:41 PM?
448
What is 160 minutes after 2:59 AM?
5:39 AM
What is 404 minutes after 5:12 PM?
11:56 PM
What is 473 minutes before 10:12 PM?
2:19 PM
What is 69 minutes before 3:43 PM?
2:34 PM
What is 186 minutes after 11:20 PM?
2:26 AM
How many minutes are there between 9:00 AM and 11:45 AM?
165
What is 171 minutes after 9:32 PM?
12:23 AM
How many minutes are there between 5:53 PM and 2:45 AM?
532
What is 641 minutes after 11:10 AM?
9:51 PM
How many minutes are there between 4:40 AM and 9:42 AM?
302
How many minutes are there between 2:58 AM and 5:59 AM?
181
What is 568 minutes after 9:35 AM?
7:03 PM
How many minutes are there between 10:34 PM and 4:46 AM?
372
How many minutes are there between 3:39 AM and 2:46 PM?
667
What is 611 minutes before 1:10 AM?
2:59 PM
How many minutes are there between 6:14 AM and 8:09 AM?
115
How many minutes are there between 12:39 AM and 2:21 AM?
102
How many minutes are there between 8:05 PM and 10:40 PM?
155
What is 707 minutes before 11:32 AM?
11:45 PM
How many minutes are there between 6:59 AM and 10:54 AM?
235
What is 424 minutes before 1:53 AM?
6:49 PM
What is 704 minutes after 1:35 PM?
1:19 AM
How many minutes are there between 7:23 AM and 1:51 PM?
388
What is 708 minutes before 6:28 AM?
6:40 PM
How many minutes are there between 7:52 AM and 1:36 PM?
344
How many minutes are there between 5:28 PM and 4:46 AM?
678
How many minutes are there between 7:31 AM and 6:46 PM?
675
How many minutes are there between 4:30 AM and 5:11 AM?
41
What is 98 minutes before 12:05 PM?
10:27 AM
What is 322 minutes after 5:47 PM?
11:09 PM
What is 664 minutes after 1:52 PM?
12:56 AM
What is 289 minutes after 7:18 AM?
12:07 PM
What is 430 minutes after 11:51 PM?
7:01 AM
What is 454 minutes before 9:49 PM?
2:15 PM
How many minutes are there between 7:47 PM and 5:30 AM?
583
How many minutes are there between 12:54 PM and 12:37 AM?
703
How many minutes are there between 8:48 AM and 2:15 PM?
327
How many minutes are there between 9:35 AM and 10:42 AM?
67
What is 504 minutes after 7:29 AM?
3:53 PM
How many minutes are there between 1:11 AM and 3:33 AM?
142
How many minutes are there between 7:10 AM and 8:01 AM?
51
How many minutes are there between 1:49 AM and 3:05 AM?
76
How many minutes are there between 4:57 AM and 7:21 AM?
144
What is 82 minutes after 10:49 AM?
12:11 PM
What is 252 minutes after 7:13 PM?
11:25 PM
What is 679 minutes before 10:30 AM?
11:11 PM
What is 597 minutes before 5:29 PM?
7:32 AM
What is 609 minutes after 3:34 AM?
1:43 PM
What is 264 minutes before 10:00 AM?
5:36 AM
What is 238 minutes after 7:07 PM?
11:05 PM
What is 627 minutes after 9:35 PM?
8:02 AM
What is 126 minutes after 11:10 PM?
1:16 AM
How many minutes are there between 5:45 AM and 8:41 AM?
176
How many minutes are there between 8:43 PM and 11:34 PM?
171
How many minutes are there between 4:42 AM and 3:18 PM?
636
How many minutes | {
"pile_set_name": "DM Mathematics"
} |
(b) -3/2 (c) 105
c
Which is the second smallest value? (a) -0.5 (b) -0.1 (c) 0.9 (d) 69
b
Which is the biggest value? (a) -2/15 (b) -8 (c) -0.5
a
What is the fourth biggest value in 0.28, -1/4, -0.5, 2?
-0.5
Which is the smallest value? (a) 6 (b) -0.4 (c) 3 (d) 1/2
b
What is the second smallest value in 2/3, 0.13, -2/3, 1/2?
0.13
What is the smallest value in -5, 9, 2/7, -2/3?
-5
Which is the third biggest value? (a) -3 (b) 1/8 (c) -0.02 (d) -100
a
Which is the fourth biggest value? (a) -0.5 (b) 0.1 (c) 0 (d) -5 (e) 0.4
a
What is the smallest value in 21, 0.2, 1/2, -1?
-1
Which is the fourth smallest value? (a) -0.06 (b) 4 (c) 1/5 (d) 2/13
b
What is the third smallest value in 1/5, 4, -60?
4
Which is the second smallest value? (a) -2 (b) -12/37 (c) 1/7 (d) -1 (e) -0.5
d
What is the biggest value in -2/11, 1/32, -1, -6?
1/32
Which is the second smallest value? (a) -0.142 (b) 2/3 (c) -1/6
a
What is the second smallest value in 0.13, 4/3, -1/3, -6?
-1/3
Which is the second smallest value? (a) -2/3 (b) -1/2 (c) -2/167 (d) 5 (e) 0.4
b
Which is the fourth biggest value? (a) -1/6 (b) -98 (c) -1 (d) 0.4
b
Which is the second smallest value? (a) -3 (b) 0.4 (c) 6/13 (d) -1/13 (e) 0
d
Which is the biggest value? (a) -0.2 (b) 4/51 (c) 0
b
What is the third biggest value in -3, 64, -0.3, -1/5?
-0.3
Which is the second biggest value? (a) -0.5 (b) -27 (c) 1 (d) -1.5
a
Which is the biggest value? (a) -4/13 (b) 0.8 (c) -0.6
b
Which is the fifth smallest value? (a) -8 (b) 2/11 (c) 0 (d) -3 (e) 1
e
What is the third smallest value in 4/107, -3, -2, 2/9?
4/107
Which is the smallest value? (a) 0.4 (b) -6.7 (c) -4 (d) -5 (e) -0.2
b
What is the smallest value in 0.07, 3/8, -571?
-571
What is the second biggest value in -0.7, 0.07, 4?
0.07
Which is the second smallest value? (a) -89 (b) 0.06 (c) -5 (d) 5
c
Which is the third biggest value? (a) -4/3 (b) -0.07 (c) -11
c
Which is the biggest value? (a) 3 (b) 6 (c) 210
c
What is the second smallest value in 0.4, -0.3, 0.5, 3/2?
0.4
Which is the second biggest value? (a) -168 (b) -3 (c) 3/4
b
Which is the second biggest value? (a) -3 (b) -0.3 (c) 0.2 (d) -3/4 (e) -438
b
What is the third smallest value in 0, -2, 0.03?
0.03
What is the second biggest value in -1/3, -2/55, 2, -1/6?
-2/55
What is the second smallest value in 2/3, 4/9, -1/6?
4/9
Which is the third smallest value? (a) 23 (b) -0.5 (c) 4/5
a
What is the biggest value in -5/16, -0.1, 2?
2
What is the third smallest value in 3, 5, 1/9, -1?
3
What is the second biggest value in 2, 3, -0.1494?
2
Which is the third biggest value? (a) -1/3 (b) 1 (c) 1/85
a
Which is the biggest value? (a) -4/7 (b) -2 (c) 1 (d) -1/3 (e) 0.3
c
Which is the second biggest value? (a) 0 (b) 2 (c) -3/5 (d) 162
b
Which is the third smallest value? (a) -1/5 (b) 4 (c) 1/10 (d) -13 (e) -2
a
What is the fourth smallest value in -0.2, 5, 3.5, -9?
5
What is the third biggest value in 1/18, -6, 0.3?
-6
Which is the smallest value? (a) 2/11 (b) -1/8 (c) 10 (d) -10
d
Which is the smallest value? (a) 25 (b) -3 (c) 2 (d) -2
b
Which is the third smallest value? (a) 2 (b) -0.9 (c) 614 (d) 0 (e) -0.4
d
What is the second smallest value in -0.06, -6/13, 1, 2, -2?
-6/13
Which is the smallest value? (a) 1/9 (b) 77 (c) 3/7
a
What is the third smallest value in -99, 0.5, 4, -5, -0.02?
-0.02
What is the third biggest value in 0.23, -0.14, 5, -4?
-0.14
Which is the second biggest value? (a) 2/3 (b) -2 (c) -0.15
c
What is the second biggest value in -73, -1/3, 0.4?
-1/3
What is the second biggest value in 13, -2, -0.5, 2?
2
Which is the second biggest value? (a) 0.2 (b) -1 (c) -2 (d) 111
a
What is the fourth smallest value in 0.18, 4, 2, -0.4?
4
Which is the biggest value? (a) -0.1 (b) 2/9 (c) -3/8 (d) 3
d
Which is the second biggest value? (a) -5 (b) 31 (c) -2 (d) 2/21
d
Which is the smallest value? (a) -2.7 (b) -6 (c) 0.2 (d) 4
b
What is the third biggest value in 32/5, 5, 47?
5
What is the second smallest value in 0, -18, 12, 1/7?
0
Which is the biggest value? (a) -1/5 (b) -3 (c) 2 (d) 5 (e) 104
e
Which is the biggest value? (a) 1 (b) -1 (c) 101
c
What is the fifth smallest value in 0.4, -3, 0.6, 4/5, 2/7?
4/5
Which is the second biggest value? (a) -0.02 (b) -1 (c) 4.53
a
What is the biggest value in -1, -24, 1.7?
1.7
Which is the third smallest value? (a) 0.3 (b) -10 (c) -3 (d) 2 (e) -1/7
e
What is the third smallest value in 2/19, -8, 0.4?
0.4
What is the third smallest value in -3/4, -1/2, -0.2, -1, 2/7?
-1/2
What is the third smallest value in -5/6, 6, 1/6, 3?
3
Which is the third smallest value? (a) -4/7 (b) -321 (c) -0.16
c
What is the smallest value in -5, 2/7, -3/52?
-5
What is the second smallest value in 0.2, 10/7, -2/9?
0.2
Which is the second smallest value? (a) -3 (b) 32 (c) 1/5
c
Which is the smallest value? (a) -0.2 (b) -1/483 (c) -5
c
What is the smallest value in 2/29, -9/2, 3, 5?
-9/2
Which is the biggest value? (a) 15.29 (b) 2 (c) 2/7
a
What is the biggest value in -1.8, -1/7, -3?
-1/7
What is the second biggest value in 630, 0, -4?
0
What is the second smallest value in 14, 5, -0.05?
5
Which is the second smallest value? (a) 4/7 (b) 2 (c) -4 (d) 0.9 (e) 5
a
Which is the second biggest value? (a) 9 (b) 0.4 (c) -0.1 (d) 0.2 (e) 1
e
What is the second biggest value in 5, 1/4, -38?
1/4
What is the second biggest value in -29, 0.5, -2?
-2
What is the smallest value in -12, -2/113, -3?
-12
Which is the third smallest value? (a) -2/19 (b) 10 (c) 4 (d) 15
b
What is the fourth smallest value in -5, 12, 1, -1?
12
What is the fourth smallest value in 4, -0.47, 3, -4?
4
Which is the biggest value? (a) 236 (b) 2 (c) 0.01
a
What is the smallest value in -3, -34, -0.07?
-34
Which is the fourth smallest value? (a) 2 (b) 15 (c) -0.3 (d) -2
b
Which is the fourth smallest value? (a) -2 (b) 35/4 (c) 0.5 (d) 2
b
Which is the fifth smallest value? (a) -0.1 (b) 2/29 (c) -0.7 (d) -5 (e) -3
b
What is the fourth smallest value in 23, -0.5, 6/11, 4?
23
What is the biggest value in -2/29, 0.2, -23, 0?
0.2
What is the fourth biggest value in -4, 1/4, -2032, -1/6?
-2032
Which is the fourth smallest value? (a) 0.02 (b) -11/3 (c) -4 (d) 0.1
d
Which is the smallest value? (a) 10 (b) 3 (c) 0.04
c
Which is the third biggest value? (a) 4 (b) 2 (c) 113 (d) -4/3
b
What is the second smallest value in -0.5, -148, 5?
-0.5
What is the second smallest value in 2, 22/7, -5?
2
What is the fifth biggest value in 49, 10, 2, -0.3, -2/5?
-2/5
Which is the third smallest value? (a) 5 (b) 93 (c) -1
b
What is the third biggest value in 5, -4, -28/71?
-4
What is the second biggest value in 22, 0, 20/3?
20/3
What is the smallest value in -4, 5, -0.06, -0.04?
-4
What is the smallest value in 3/7, -2/5, -0.3, 0.23?
-2/5
What is the third biggest value in 0.2, 0.3, 18.9, -2/5?
0.2
Which is the third biggest value? (a) 1/4 (b) 5 (c) -4
c
What is the biggest value in -0.07, 2, 3, 7?
7
Which is the third biggest value? (a) -1 (b) 2/5 (c) -1/5 (d) -17/6 (e) 1/5
c
What is the third biggest value in -0.6, -5, -12, -4?
-5
Which is the second biggest value? (a) -9 (b) -3/4 (c) 13
b
What is the smallest value in 1, -2/15, 0.6, -2/13?
-2/13
What is the second biggest value in -4, 2.6, -1/2, -24?
-1/2
What is the third biggest value in 3, -0.0614, -2/15?
-2/15
Which is the third biggest value? (a) -0.3 (b) -4/3 (c) -0.4 (d) 1/4
c
What is the third biggest value in -1/4, 2/197, 1?
-1/4
Which is the fourth biggest value? (a) -0.3 (b) -4/9 (c) 0 (d) 2 (e) 0.053
a
Which is the second biggest value? (a) 3/4 (b) -496 (c) -4
c
Which is the fifth biggest value? (a) -0.5 (b) 1/21 (c) 0 (d) 1/4 (e) 2
a
What is the second biggest value in 4/5, -3, -2/5, 3?
4/5
What is the fourth biggest value in 2, -3, 3, -22/7?
-22/7
What is the second smallest value in -1/4, 20, -0.1?
-0.1
Which is the second smallest value? (a) 22 (b) 17 (c) -1/9
b
What is the third smallest value in -8, -2/9, 3/4?
3/4
What is the second smallest value in -2/3, -4, -2, -52, -5?
-5
Which is the second smallest value? (a) -1/679 (b) -16 (c) -1/3
c
What i | {
"pile_set_name": "DM Mathematics"
} |
+ 36 - 44 = 3*v, -4*u = -4*v for u.
-2
Solve -2*k = 4*a - 10, 7 = 4*a - 2*k - 23 for a.
5
Solve -2*x = 2*a + 18, -42*x = -2*a - 38*x + 12 for a.
-4
Solve -11 = 4*r + 5, 5*s + 3*r + 27 = 0 for s.
-3
Solve -3*w - 7 = q, -2*q = -5*w - 38 + 8 for q.
5
Solve 0 = -12*j - 4*i - 64, 11*i = -5*j + 14*i - 22 for j.
-5
Solve 2*j + 0 = 3*o - 11, 21 = 5*o - 2*j for o.
5
Solve 3*d - 2*d + 2 = -2*m, m = -3*d - 1 for m.
-1
Solve i = -5, -9 = 2*h + 3*i + 2 for h.
2
Solve a - 22 = 3*g - 13, -2*g - 16 = -4*a for a.
3
Solve -l - 78*h - 2 = -74*h, -4*h + 8 = -4*l for l.
-2
Solve -4*a + 2*u - 10 = 6, -4*a + u = 18 for a.
-5
Solve -3*t = -2*k + 4, 0 = -t - 2*t + 4*k - 2 for t.
-2
Solve -4*x + m = 3*m - 8, 0 = -2*m + 8 for x.
0
Solve 4*l = -20, -5*q + 5*l = -0*l - 45 for q.
4
Solve 0*c + 2*c - 3*g + 7 = 0, 7 = -c - 2*g for c.
-5
Solve 4*m = -3*t + 2*t + 19, 0 = -3*m - 2*t + 18 for m.
4
Solve 2 = i + 3*p, 7*p - 2*p + 2 = -3*i for i.
-4
Solve -3*j = -2*c + 1 - 15, 7 = 2*j + c for j.
4
Solve 40*l - 6 = 38*l, 2*v - 4*l = -12 for v.
0
Solve -21 = s + 3*v, 9*s - 5*s - 1 = 5*v for s.
-6
Solve 2*p = 3*p - 3*i - 5, 2*p + 2*i = -6 for p.
-1
Solve -3*j - 11 = 5*r + 1, 3*r + 4 = -j for r.
0
Solve 5*o = o + 2*h + 2, -4*h + 4 = 0 for o.
1
Solve -37*x + 38*x - 3 = -j, 3*x = -5*j + 11 for j.
1
Solve -38 = 2*c - 5*u - 10, c - 4 = -2*u for c.
-4
Solve -10*f = -3*l - 12*f - 3, -4*l - 5*f - 11 = 0 for l.
1
Solve -2*s - 3*s = -f - 21, -4*s = -2*f - 12 for s.
5
Solve m + 30 = s + 4*s, 4*m - 2*s = -30 for m.
-5
Solve 0 = j - 3*t - 16, j - 8 = -t - 12 for j.
1
Solve -i + 2 + 9 = -5*b, 0 = b - i - 1 for b.
-3
Solve -5*i - 24 = 4*f, 0*i - 5*i - 16 = -4*f for i.
-4
Solve 3*j = -5*a + 2, 7*j - 14 = 6*j + 5*a for j.
4
Solve 2*j = -4*l - 10, 0 = -j + 5*l + 11 - 2 for j.
-1
Solve 0*n + 2*z - 16 = -4*n, -3*n + 5*z = -25 for n.
5
Solve -5*x + 2*w = -18, -2*x + 2*w + 3 + 9 = 0 for x.
2
Solve -9*b + 2*l = -5*b + 4, 5*b - l = -11 for b.
-3
Solve 0 = 3*s + 272 - 269, -5*s - 3 = -r for r.
-2
Solve 5*x = 16*a - 12*a - 13, -4*x - 4 = 0 for a.
2
Solve 12 = -4*x + 2*f + 18, -3*x - f - 8 = 0 for x.
-1
Solve -4 = 3*h + 4*w, 12*h - 14*h + 5 = -5*w for h.
0
Solve 5*v = -4*f + 17, -7 = -5*f + 3*v + 5 for f.
3
Solve 2*n = 2*k + 4, -2*k + 1 = 2*n + 13 for n.
-2
Solve 2*g - 8 = -5*q - 6, -3*q - 2 = 2*g for g.
-4
Solve 37 = 4*h + s + 20, 13 = -4*h + 5*s for h.
3
Solve -5*o + 57 = -5*z + 27, 18 = -4*z + o for z.
-4
Solve -p + 3*k + 2*k - 25 = 0, -3*k = 4*p - 15 for p.
0
Solve -3*k = -2*h - 6*k - 16, 6 = -k for h.
1
Solve -3*r - 3 = -0*r, 3*f = -4*r + 11 for f.
5
Solve 0 = -p - 10*l + 15*l - 13, -3*p - 3*l = -15 for p.
2
Solve 5*i = 5*k - 10, -3*i - 5*k + 29 = -k for i.
3
Solve 2 = 2*h - w, 3*h + 5*w - 1 = 2*h for h.
1
Solve 2*z + 4*i - 2*i = 18, -20 = -5*i for z.
5
Solve -n + f + 3 = 2*n, n + 15 = -5*f for n.
0
Solve -6*q - 24 = -4*q + 4*f, -3*q - 4*f - 28 = 0 for q.
-4
Solve -r + 8 = -g, 4*r - 5*r + 3*g + 16 = 0 for r.
4
Solve -9 = -4*p - 2*v + 11, 2*p = -5*v + 26 for p.
3
Solve 2*z + 12 = -4*h, 2*z + z + h + 8 = 0 for z.
-2
Solve -4*l = 4*w - 8, -13*l + 15*l - 6 = 0 for w.
-1
Solve -11 = -5*h + 4*j, -3*h - 2*j = -7*h + 4 for h.
-1
Solve q + 10 = 3*h, -h + 24 - 9 = 2*q for q.
5
Solve 3*i + 2*c = 3*c + 9, -5*c = -2*i + 6 for i.
3
Solve 10*v = -3*m + 7*v + 3, 2*v + 1 = -3*m for m.
-3
Solve 4*x = -n - 20, n + 3*n - 5*x = 25 for n.
0
Solve -3*u - 4*m + 19 - 11 = 0, -5*m + 11 = 4*u for u.
4
Solve 3*f + 9 = -0*f + 4*d, 0 = 5*f - 5*d + 10 for f.
1
Solve 0 = o - 2*o + 4, 2*o - 10 = -2*j for j.
1
Solve 42*z - 40*z - 13 = -3*j, 3*z + 3*j - 12 = 0 for z.
-1
Solve 5*x = -3*b, -b = 4*b - x for b.
0
Solve 4*q - a = 4 - 7, -2*a + 6 = 0 for q.
0
Solve -6 = 2*q, -5*q + 9*q = -5*d - 27 for d.
-3
Solve -3*d - 3*b - 1 = d, -2*d + 4*b = 28 for d.
-4
Solve 5*k - 1 + 3 = -d, -2*k = -5*d - 10 for d.
-2
Solve -5*g - 2 + 43 = 4*k, 0 = -5*g + 5*k + 5 for g.
5
Solve -b - 32*y = -28*y + 9, 3*b = 2*y - 13 for b.
-5
Solve 19 = -4*m + x, 0 = m - x + 4 for m.
-5
Solve -4*w = 4*l - 36, 4*w - 71 = -5*l - 30 for l.
5
Solve 2*t + 2*g - 10 = 0, -5*g = -0*t - 2*t + 10 for t.
5
Solve -4*l = -4*f + 20, f = -4*f + 4*l + 21 for f.
1
Solve -4*p + 2*q = -10, q = 2*p + 4*q - 17 for p.
4
Solve -2*r + 5*r - 9 = 0, 3*l + r - 6 = 0 for l.
1
Solve r = 5*n - 6*n, 0 = -2*r + n for r.
0
Solve -18 = -3*x + 3*s, -34 = -4*x + 22*s - 8*s for x.
5
Solve 5*f + 5*h = -30, -37*f - 18 = -32*f + 2*h for f.
-2
Solve 4*h = -4*s + s + 22, 0 = s - 5*h + 18 for s.
2
Solve -4*r + 8 = 2*m, -3*m = -3*r - 0*m - 12 for r.
0
Solve -5*j - 3*t = 3 + 8, t + 9 = -3*j for j.
-4
Solve -j = 3*l + 10, 0*j + 3*l + 8 = j for j.
-1
Solve 2*q + u - 5 = 0, 5*q + 207*u + 1 = 209*u for q.
1
Solve -4*u + 9 = -f, -5*f + 12 - 11 = 3*u for u.
2
Solve -35*y + 30*y + 30 = 3*w, 3*y = -w + 14 for y.
3
Solve -6 - 1 = -2*y + 5*u, 0 = 4*y + 5*u + 1 for y.
1
Solve 5 = j - s, 25 = 5*j - 0*s + 5*s for j.
5
Solve t + 3 = 2*t + 4*p, -2*t - 4*p + 2 = 0 for t.
-1
Solve 14 = 5*u + 4*f + 38, 4*f = -2*u - 12 for u.
-4
Solve 4*d + 2 = 2*f, 4*d + 12 = 2*f + 2*f for d.
2
Solve -4*s = -3*w - 30, -2 = -4*s + 22 for w.
-2
Solve 18 = 3*y, -38*a - 4*y = -39*a - 29 for a.
-5
Solve -16 = 4*p + z, 0 = 4*p + 13*z - 15*z + 4 for p.
-3
Solve 5*j + 9 = 16*w - 18*w, -4*j - 15 = -w for w.
3
Solve 0 = i + 3*v - 19, 14*i = 13*i - 5*v + 29 for i.
4
Solve 0 = -4*t - 2*b - 22, 2*b - 7*b = -5*t + 10 for t.
-3
Solve -5*q + 4*m + 16 = 0, -5*m + 4 = -4*q - 6*m for q.
0
Solve -2*o + 26 = 4*y, 4*y - 3*o = 19 - 8 for y.
5
Solve 0 = -3*t + 6*i - i + 20, 0 = -3*t + i + 4 for t.
0
Solve -5*o + 4*j = -3 + 28, 4*o + 2*j = 6 for o.
-1
Solve -5*q = -3*l - 17, -2 + 16 = 3*q + 2*l for q.
4
Solve -3*p + 5*s = -4*p - 11, -5*p = -3*s - 1 for p.
-1
Solve 0 = -2*i + 2*j - 2, 3*i + 2*j = -46 + 23 for i.
-5
Solve -15*p + 3*f - 29 = -11*p, -2*p - 2*f - 4 = 0 for p.
-5
Solve 3*d = 5*k + 30, -k = 2*k - 4*d + 29 for k.
-3
Solve 2*c - c = -i, -5*i + 20 = 0 for c.
-4
Solve 0 = 2*x + 4*q - 6, 21*q - 19*q + 2 = 4*x for x.
1
Solve 25 = -5*z - 24*n + 28*n, -z - 5 = -2*n for z.
-5
Solve 5*i + o = -13, 3*i = -o - 4 - 5 for i.
-2
Solve -10*d = -4*r - 7*d - 25, -3*d + 13 = -r for r.
-4
Solve -5*b + 2*f = 9 + 3, -b - 4*f = -2 for b.
-2
Solve -2*o - 2*d + 8 = -0*d, -d = -2 for o.
2
Solve 96*s - 4 = 3*i + 95*s, 3*s - 3 = 0 for i.
-1
Solve 3*f = -3*h + 18, 2*h - h = 2*f - 6 for h.
2
Solve 3*x + 1 = -q, -3*q - 11 = 2*x - 1 for q.
-4
Solve -4*q + 5*b - 12 = 0, -5*q - 3*b = -11 + 26 for q.
-3
Solve -j - 10 = 4*j + 5*l, l = 3*j + 14 for j.
-4
Solve 0*g = -2*g - 4*a - 20, -5*a = -2*g + 7 for g.
-4
Solve 10 = -5*c, 3*o - c + 17 = -2*c for o.
-5
Solve 4*j - 8 = 0, 6*x + 2*j - 16 = 3*x for x.
4
Solve 0 = -y - 5, 2*a + 17 = -3*y for a.
-1
Solve -3*i + 0*i + 2*w - 4 = 0, -2*i = -5*w - 12 for i.
-4
Solve -3*w - 5*g - 6 = -0*g, 4*w = 3*g - 8 for w.
-2
Solve -3*z - 11 = 5*f, 62*f - 65*f = z + 5 for f.
-1
Solve 2*p + 5*l = 4, -34*p - 29 = -39*p - 3*l for p.
7
Solve -5*h + 4*h = c - 6, -5*c - 2*h + 27 = 0 for c.
5
Solve 3*j = -15, 5 - 1 = 3*f + j for f.
3
Solve 4*b - 3*f - 9 = 0, 0 = 4*f + 12 for b.
0
Solve -3*v + 3*t = -t - 14, 4*v = -5*t - 33 for v.
-2
Solve 0 = -4*u - 4*h - 4, 2*h = 4*u + 35 - 7 for u.
-5
Solve 3*t - 19 = 5*z, 0*t - 13 = -t + 3*z for t.
-2
Solve 3*n - 3 = 4*g - 2, n - 4*g - 3 = 0 for n.
-1
Solve -3*y + 3*j - 9 = -0*y, 3*j - 9 = -3*y for y.
0
Solve 2*j = 2*y + 2*y - 4, 6 = 5*y - 3*j for y.
0
Solve -3*x - 23 = -5*o + x, -15 = -3*o + 3*x for o.
3
Solve -l = 4*w + 11, -5*l = -8*l - 2*w + 7 for l.
5
Solve b + 8 = -2*b - 4*z, -4*z - 24 = -b for b.
4
Solve 3*w + 3*v - 12 = 0, -2*w + 6 = -4*v + 22 for w.
0
Solve 42 = 6*t + 4*k, 21*t = 26*t - 5*k - 10 for t.
5
Solve -c + 5*a + 16 = 0, -3*a + 7*a = -5*c - 7 for c.
1
Solve z - 14 = -3*v, 15*v + 5 = 16*v for z.
-1
Solve -5*x + 3*c + 2 = -2, -3*x = 2*c - 10 for x.
2
Solve m + 5 = 3, -10 = 2*x + 5*m for x.
0
Solve i - 1 = 4*s, -i - 5*s + 41 = 31 for i.
5
Solve 7*l - 4*l - 4*n = -5, -n - 3 = -5*l for l.
1
Solve w - 6 = -0*w - 2*j, 0 = w - 3*j + 4 for w.
2
Solve 6 = -4*x + 5*a, 0 = -3*x - 0*x - a - 14 for x.
-4
Solve -2*s - 5*p = -7*p, -2*s + 4*p + 8 = 0 for s.
-4
Solve 4 = -5*o + 4*g, 37*o + 5 = 38*o + 5*g for o.
0
Solve -3*g + 3*a = 2*g - 17, 0 = 5*a - 5 for g.
4
Solve -16 = -4*h - 3*o, -2*o + 6*o - 11 = 5*h for h.
1
Solve -4*t - 8 = -22*r | {
"pile_set_name": "DM Mathematics"
} |
order.
k, 3, c, -0.1
Let m = -61/6 - -409/42. Put -0.8, m, -3 in decreasing order.
m, -0.8, -3
Let x be (-2 - 0)/((30/(-147))/(-5)). Let b = -44 - x. Sort b, 4, -15 in decreasing order.
b, 4, -15
Let d = -6.32 - -1.32. Sort d, 0.3, -3.
d, -3, 0.3
Suppose 3*t = -2*t. Let s(x) = x**2 - 5*x - 2*x - 13 + 14. Let y be s(7). Put 4, t, y in descending order.
4, y, t
Let f = 11 - 10.3. Let z = f + 3.3. Let d = -20.4 - -19.4. Put 1/4, z, d in decreasing order.
z, 1/4, d
Let j = 18223/5 - 3656. Let l(w) = -w**2 + 2*w + 23. Let m be l(7). Let t = m - j. Sort t, -0.4, 4.
t, -0.4, 4
Let c = 0.03 + 0.27. Let t = -0.37 + -4.63. Sort t, c, 1/5.
t, 1/5, c
Let a = -28 - -31. Suppose -3*u = -4*r - 8*u + 5, 0 = r + a*u - 10. Sort r, -3, 5 in increasing order.
r, -3, 5
Let i = 24 + -45. Let q = -1.7 + -17.3. Let j = q - i. Put j, -4/3, 1 in descending order.
j, 1, -4/3
Suppose 4*t + 2 = -14. Let v(k) = -9*k**3 - 2*k - 2. Let h be ((-14)/(-42))/((-1)/(-3)*-1). Let n be v(h). Put n, t, 3 in descending order.
n, 3, t
Let u = 0.19 + 1.81. Let w = 0.002 - -0.998. Sort 1/5, w, u in increasing order.
1/5, w, u
Suppose -269*a + 231*a = 76. Sort 3, -18, a in descending order.
3, a, -18
Let l(a) = -a**3 + 11*a**2 + 147*a - 36. Let n be l(-8). Let u = 4/11 - 42/55. Put 0.2, u, n, -0.03 in descending order.
n, 0.2, -0.03, u
Suppose -4*p - 15 = -p. Suppose 6 = 125*x - 122*x. Sort p, x, -3, -4 in ascending order.
p, -4, -3, x
Let t(m) be the third derivative of -m**4/6 - 5*m**3/3 - 5*m**2. Let c be t(-8). Let r be (-4)/(-8) - 15/c. Put 1/2, -4, r in decreasing order.
1/2, r, -4
Let t(a) = a**3 + 21*a**2 - a + 4. Let g be t(-21). Suppose -15*s = -10*s - g. Sort 4, s, 3 in increasing order.
3, 4, s
Let w = 173 + -168. Sort 1, w, 12 in decreasing order.
12, w, 1
Let s be (8/(-6))/((-9)/(-27)). Let c = 89 + -90. Sort s, 5, c.
s, c, 5
Let t = 54/83 - 461/581. Sort t, -0.035, 1, -2/7 in increasing order.
-2/7, t, -0.035, 1
Let g = 30514.039 + -30486. Let j = -0.039 + g. Let v = -32 + j. Sort v, -2, -5 in descending order.
-2, v, -5
Let f = -19 - -14. Let w(k) = k**3 - 8*k**2 + 8*k - 3. Suppose -3*h - 9 = 2*g - 30, 14 = 2*h + 3*g. Let n be w(h). Put n, f, -1 in increasing order.
f, -1, n
Let l(u) = -2*u**2 - 17*u - 12. Let v be l(-8). Sort -17, v, 4 in ascending order.
-17, v, 4
Suppose -9 = 4*f - 1. Suppose -3*s + 6 = 3*z, 2*z + 5 = -3*z - 2*s. Put f, 4, z in descending order.
4, f, z
Suppose x - 20 = -5*f, -4*f + 41 - 29 = 0. Sort -1, x, -12, 4 in ascending order.
-12, -1, 4, x
Let r(o) = o**2 - 14*o - 18. Let s be r(15). Let j = -110 + 109. Sort 7, j, s.
s, j, 7
Let v(y) = -y - 1. Let w be v(-5). Suppose 5*b + k = -0*k - 19, 2*b + 22 = -w*k. Suppose -3*t + 2*t = 3*o, 3*o = -3*t. Sort 1, o, b in increasing order.
b, o, 1
Let q = -4 - -3.9. Let k = 0.0848 - 1.5848. Sort k, q, -5 in decreasing order.
q, k, -5
Let n(o) = o**3 + 4*o**2 - 6*o - 6. Let u be n(-5). Put 1, u, -13, 5 in decreasing order.
5, 1, u, -13
Let i be -1 + 0 - 26/(-22). Let j = 0.022 + 0.378. Sort -4, i, 4, j in descending order.
4, j, i, -4
Let j(f) = f**3 + 104 + 3*f + f - 3*f - 107 + 4*f**2. Let z be j(-2). Sort -5, -8, z.
-8, -5, z
Let d = 3.665 + -0.065. Let m = -0.03 - -0.63. Let c = d - m. Put c, 0.3, -2 in descending order.
c, 0.3, -2
Let f = -829/22 + 75/2. Put 1, f, 12, -5/7 in ascending order.
-5/7, f, 1, 12
Let x(m) = m**3 - 8*m**2 + 6*m + 9. Let q be x(7). Let k be 6/(-1 - -4)*q. Put -4, k, -3, -2 in decreasing order.
k, -2, -3, -4
Let s be (1 + (-28)/(-20))*(-71 + 1). Let h be 3*(-8)/s - 0/(-2). Sort 2/33, h, -1 in decreasing order.
h, 2/33, -1
Let f = 0 - 1. Let i(t) = -t - 1. Let o be i(4). Suppose 5*v = -2*p + 4*p - 14, -4*v = -3*p + 14. Sort v, f, o in decreasing order.
f, v, o
Let x be (4*(-1)/(-3))/(27/(-81)). Put 3/5, x, 3/4 in decreasing order.
3/4, 3/5, x
Let a(w) = 3*w**2 - 74*w - 26. Let c be a(25). Sort -4, c, 3.
-4, c, 3
Let c be 2/10 + (-26)/5. Suppose -4 = -2*m + 5*h + 17, -5*m + 4*h + 10 = 0. Sort m, -4, c in decreasing order.
m, -4, c
Let k be ((-1582)/(-133) - (-10)/95) + -8. Let a(m) = -23*m**2 + m + 1. Let q be a(-1). Sort q, k, -2 in increasing order.
q, -2, k
Let o = 546 - 542. Put 1, o, -2, 16 in increasing order.
-2, 1, o, 16
Let f = -137 + 142. Put 0, f, -2, 53 in ascending order.
-2, 0, f, 53
Let a(w) = -2*w**2 - 22*w + 89. Let c be a(-14). Put -2, 3, 6, c in descending order.
6, c, 3, -2
Let b be (-2 - (-10)/8)/(30/120). Let i(x) = 2*x + 14. Let g be i(-7). Suppose v + 6 - 7 = g. Put b, v, 2 in increasing order.
b, v, 2
Suppose a + 0 - 1 = 2*n, 3*n - 6 = -a. Suppose 5*f + a + 2 = 0. Suppose 12 = 3*y, 0 = 5*u + y - 3*y + 33. Sort f, u, 3.
u, f, 3
Let d = -6146.3 - -6146. Let t be (-2)/(-15)*(-6)/(-4). Let b = 0 + 2. Sort b, t, d in descending order.
b, t, d
Let k = 0.477 - 0.477. Let g = -4.812 - -0.012. Let h = -0.8 - g. Sort 0.1, h, k in descending order.
h, 0.1, k
Let x be ((-18)/14)/((-5)/((-15)/(-9))). Sort x, 0.08, 0.2 in increasing order.
0.08, 0.2, x
Let q(u) = -u + 1. Let j(a) = -2*a - 1. Let s be j(-2). Suppose -h + s = -0*h. Let l be q(h). Sort 0, l, 8.
l, 0, 8
Let r be 2*(2 + (-87)/6). Let a = 20 + r. Sort a, 1, -1, 3 in ascending order.
a, -1, 1, 3
Let l = 105.8 + -19.8. Let b = l - 85.7. Let q be 10/12*(-2)/(-10). Put 4, q, b in decreasing order.
4, b, q
Let a = 1544 + -1544.2. Sort 5, a, -2/5, 1 in ascending order.
-2/5, a, 1, 5
Suppose -3 + 17 = -7*h. Sort 4, 12, h, -3.
-3, h, 4, 12
Let q be -5*2/(-30)*3. Let y = 21 + -26.5. Let n = y + 1.5. Put -1, n, q in descending order.
q, -1, n
Let t = 4.1 + -21.1. Let p = t - -14. Suppose -5*y - 1 = k, 0 = -4*y + k - 2*k. Put p, y, -0.2 in descending order.
-0.2, y, p
Suppose i - 3 = -2*i. Suppose -7 - 105 = -4*z + 2*y, -3*z + 5*y + 77 = 0. Suppose -z + 14 = -3*t. Sort 4, i, t in ascending order.
i, 4, t
Let i be (0/17)/(2/2). Put 5, 10, i in descending order.
10, 5, i
Let m be 0/(-4*(-3)/(-6)). Suppose -3*r + 1 - 7 = m. Let o = 3 + -3. Put 1, r, o in descending order.
1, o, r
Let c(w) = -w - 22. Suppose -14 = j + 3. Let l be c(j). Sort 3, 0, l in descending order.
3, 0, l
Let a = 41.067 - 0.067. Let v = -6 + a. Let o = v + -39. Sort 4, o, -3/2.
o, -3/2, 4
Let b(j) = -j**3 - 15*j**2 - 51*j - 13. Let v be b(-10). Suppose -2*g + 30 = 3*g. Sort -2, g, v.
v, -2, g
Let k(g) = g**2 + 7*g - 14. Let w be k(2). Sort -12, w, 5 in increasing order.
-12, w, 5
Suppose 3*i - 5*u = -54, 2*i - 3*i - u - 10 = 0. Let b = -11 - i. Suppose d + 4 = 2*d. Sort d, 3, b in decreasing order.
d, 3, b
Suppose -4*j = 2*l + 12, 2*l + 11 = -3*j + 1. Let u = 10 - 13.8. Let g = u + 0.8. Put -1/5, g, j in decreasing order.
-1/5, j, g
Let j = 20/187 - -2/187. Put j, -4/5, -0.5 in decreasing order.
j, -0.5, -4/5
Let u = 71 - 74. Let j = 4 - 2. Let i be 12/21 - 108/140. Put i, u, j in decreasing order.
j, i, u
Let z = -295 + -25. Let v = z + 4162/13. Let s = 0 + -0.1. Put -5, s, v in descending order.
v, s, -5
Suppose -29*p - 13 = 16. Sort p, 2, 0, 3 in increasing order.
p, 0, 2, 3
Let l(g) = -g**2 + 7*g - 6. Let b be l(6). Suppose -28*i = -4*i + 16*i - 120. Put b, i, 2 in increasing order.
b, 2, i
Suppose -3*v - 12 = -9*v. Let j be ((-16)/6)/(v/(-3)). Put j, -2, 3 in decreasing order.
j, 3, -2
Let s be (-3)/((-159)/52) + (-25 - -24). Let v = s - 51/106. Sort 2/21, v, -1/4, -0.4 in decreasing order.
2/21, -1/4, -0.4, v
Let r be 4/(-12) - 1/(-3). Suppose g - 3 = -4. Let k(l) = -2*l**2. Let b be k(g). Sort -1, r, b.
b, -1, r
Suppose -4*p + c = p - 147, 4*p - 123 = -c. Let o = p + -101/3. Put 1, o, -4 in ascending order.
-4, o, 1
Let d(n) = n + 4. Let w be d(-2). Let f = -2497 + 2493. Sort w, f, 5 in increasing order.
f, w, 5
Let x(b) = -b - 3. Let n be x(-6). Let l be (-412)/84 + 82/21 + -4. Put l, n, 1 in ascending order.
l, 1, n
Let l = 115 + -129. Sort l, -5, -1/3.
l, -5, -1/3
Suppose 3*u - 11 = 1, -4*g - u + 16 = 0. Let z(q) = -q + 3. Let f be z(3). Put 5, g, f in increasing order.
f, g, 5
Suppose 5*p = -4*r - 50, p = -r + 6*r + 19. Let q be 4 + 15/p*4. Put 5, q, 1 in decreasing order.
5, 1, q
Let q = -502 - -558. Let x = 0.1 - 0. Put x, 0.3, q in decreasing order.
q, 0.3, x
Let s = 1458 - 2487. Sort -1, s, 5.
s, -1, 5
Let s = 72.26 - 69. Let t = s + -16.36. Let r = t - -13. Sort 3, -1/7, r in decreasing order.
3, r, -1/7
Let l be 2 - 0 - 10/6. Let g | {
"pile_set_name": "DM Mathematics"
} |
of (-7 - (-66)/12) + (-5122)/(-4).
1279
Let i be (-2)/6 - (-178)/3 - 2. Let w = i + 22. List the prime factors of w.
79
Let w be 9/45 - 1/5. What are the prime factors of 71 + w + 4/(-1)?
67
Let i(q) = q**2 + 3*q - 18. Let w(f) = 5*f**3 - 4 - 3*f - 7*f**2 + 4*f - 6*f**3. Let j be w(-7). List the prime factors of i(j).
2, 5, 7
List the prime factors of 11*(-16)/(-20)*5.
2, 11
Let x(h) = h - 2. Let z be x(5). Suppose z*u + 5*d = 182, 2*d + 2 = -2. What are the prime factors of u?
2
Suppose 5*k = 72 - 17. Suppose 0 = k*f - 10*f - 105. List the prime factors of f.
3, 5, 7
Suppose -4*i + 577 = 4*y - 863, 5*i + 2*y = 1797. What are the prime factors of i?
359
Suppose 5*k - 5*l - 2910 = 0, l - 1745 = -3*k + 5*l. List the prime factors of k.
11, 53
Suppose 0 = -3*t + 4*y - 2, 3*t - 2*t = -2*y + 6. Let q be (t - 1)/(1/4). Suppose 3*o + q*w = 43, -45 = -3*o - w - 2*w. List the prime factors of o.
17
Suppose -4*z = -12, 10*v = 11*v - 5*z - 590. List the prime factors of v.
5, 11
What are the prime factors of 1113 + (4/(-14) - (-96)/42)?
5, 223
Let j(t) = -t**3 + 11*t**2 - 15*t - 10. Let c be j(9). Suppose -c*b + 12*b = -1370. List the prime factors of b.
2, 137
Let h = -2 + 98. Suppose -4*y + 7*y = h. List the prime factors of y.
2
Let d(v) = -v + 5. Let u(p) = -p + 7. Let g(l) = -7*d(l) + 5*u(l). Let a be g(4). Suppose -h + a = 2. List the prime factors of h.
2, 3
Suppose 2*m = 3*g + 8, -5*g + 2*g - 3*m = -12. Suppose -4*v + 279 + 201 = g. What are the prime factors of v?
2, 3, 5
Suppose -r = 4*r - 340. Suppose -6*a + r = -4*a. Let d = a - 5. List the prime factors of d.
29
List the prime factors of (-5274)/(-33) + 1 - 160/(-880).
7, 23
Let f be 40 - 11 - 2/(-2). Let u = -34 - -16. Let a = f + u. List the prime factors of a.
2, 3
Let k = 29 - -1. Suppose -d + k = -16. Suppose -3*n - 2*w = w - 33, 4*w = 2*n - d. List the prime factors of n.
3, 5
Let m = -129 + 281. Let q = m + -77. List the prime factors of q.
3, 5
Let r(j) = j**3 + 14*j**2 - 4*j - 29. Let f be r(-13). Suppose 0*w = -4*p - 2*w + f, -3*p + 149 = 4*w. List the prime factors of p.
47
Let w = -101 + 223. List the prime factors of w.
2, 61
Suppose -32*j = 5*r - 35*j - 241, -2*r + 2*j + 94 = 0. List the prime factors of r.
2, 5
Let k(h) = 15*h**2 - 8*h - 2. Let r(y) = -14*y**2 + 7*y + 2. Let d(c) = -3*k(c) - 4*r(c). What are the prime factors of d(-2)?
2, 5
What are the prime factors of (16338/210)/(2/10)?
389
Let n = -1349 + 2380. List the prime factors of n.
1031
Let c = 150 + -149. Let m(j) = -54*j. Let z(y) = -675*y. Let l(t) = -63*m(t) + 5*z(t). List the prime factors of l(c).
3
Let c(z) = 2*z**2 - 3*z + 27. Suppose -6*f + 30 = -11*f. What are the prime factors of c(f)?
3, 13
Suppose -a + 6 = 2*s, -5*s + 4*a + 17 = 2. Let i(c) = -c**3 + 7*c**2 + 5*c - 21. Let o be i(7). Let m = s + o. What are the prime factors of m?
17
Let o = 5190 - 2027. List the prime factors of o.
3163
Let q(l) = 48*l - 106. What are the prime factors of q(18)?
2, 379
Let o be 6*((-130)/25)/(1/(-25)). Let p = o - 542. What are the prime factors of p?
2, 7, 17
Let t = -7 + 4. Let b(z) = z**2 + 2*z - 1. Let j be b(t). Suppose j*u - 26 = -0*u. List the prime factors of u.
13
Let q = 152 + 1140. What are the prime factors of q?
2, 17, 19
What are the prime factors of (-10945)/(-5) + (-12 + 5 - -2)?
2, 3, 7, 13
Suppose -3*i = -5*x + 1, 3 = -x + 2*i + 6. What are the prime factors of 1/x*2 - -4?
2
Let t(n) = -n - 2. Let w be t(-6). Suppose 4*q - 712 = -w*g, g - 4 = -3*g. List the prime factors of q.
3, 59
Suppose 78*u = 45*u + 66924. List the prime factors of u.
2, 3, 13
Let t be 7/(-6) - -1 - 8225/(-282). Suppose -30*x + t*x = -181. What are the prime factors of x?
181
Suppose 11*n - 35 = 4*n. Suppose -5*y = -2*a - 685, 3*y - n*a - 425 = -a. What are the prime factors of y?
3, 5
Let l = -3713 + 6091. What are the prime factors of l?
2, 29, 41
Let g(y) = -4*y + 10. What are the prime factors of g(-33)?
2, 71
Suppose 2*y - 167 - 827 = -2*m, 4*m = -2*y + 1998. What are the prime factors of m?
2, 251
Let y be ((-17)/(-7) - 1)*35. Suppose 2*m + 5*z - z = 20, -y = -3*m + 4*z. What are the prime factors of m?
2, 7
Let b(c) = -c**2 - 16*c + 19. Let r(s) = s**2 + 9*s - 1. Let x be r(-7). List the prime factors of b(x).
2, 17
Let c(t) = -t**3 + 5*t**2 + 3*t - 13. Let n be c(6). Let z = 144 - n. What are the prime factors of z?
5, 7
Let s(g) = 1735*g**2 - 1722*g**2 - 7*g + 11 - 3 - g**3. What are the prime factors of s(6)?
2, 109
Suppose -5*d + 2*d = 3. Let i be (-8)/(d/2 - 0). Let l = -13 + i. List the prime factors of l.
3
Let l(o) = -6*o - 16. Let r be l(-4). Let f(h) = 5*h**2 - 2*h + 19. What are the prime factors of f(r)?
17, 19
Let d(f) = -f**3 - 6*f**2 - f + 6. Suppose -t + 0*l - l = 3, 0 = -5*l + 15. Let u be d(t). Let q = 19 - u. What are the prime factors of q?
7
Let d(y) be the first derivative of -41*y**4/4 - y**2/2 - y - 36. Suppose -v + 3 = -4*v. What are the prime factors of d(v)?
41
Let a(n) = -11*n - 7. Suppose 10 = 5*w + 4*m + 25, 2*m + 18 = -4*w. List the prime factors of a(w).
2, 5, 7
Let k(n) = -n**3 + 7*n**2 + 2*n + 8. Let h(c) = -6*c**3 + 35*c**2 + 9*c + 41. Let j(i) = -2*h(i) + 11*k(i). Let q = -6 - 0. What are the prime factors of j(q)?
2, 3
Suppose -72 - 12 = 7*t. List the prime factors of (8000/15)/4 + 4/t.
7, 19
Suppose -8*i = -5*i - 9. Suppose i*c + 7 = 19. Suppose -c*k - 8 = -0*k, 0 = -4*h + 3*k + 218. What are the prime factors of h?
53
Let t(b) = b**3 - 23*b**2 + 66*b + 27. What are the prime factors of t(20)?
3, 7
Suppose 3*o - 2349 + 492 = 0. Let r = -422 + o. Suppose 3*d + 2*j + 142 = 5*d, -r = -3*d - j. What are the prime factors of d?
67
Let y(n) = 184*n**2 + 8*n + 9. What are the prime factors of y(2)?
761
Suppose -a - 12 = -3*n, a - 2*a - 9 = -2*n. Suppose -4*p + 549 = n*q, 0 = -p + 2*q + 28 + 112. What are the prime factors of p?
2, 3, 23
Let r be 60/18*6/(-4). Let x be (-74)/3 - (-3)/(-9). List the prime factors of (-510)/x*r/(-2).
3, 17
Suppose -s = 17 - 71. Suppose -s = -7*h + 5*h. List the prime factors of h.
3
Suppose -5*s - s = 0. Suppose -5*i - 3*n + 238 = s, 2*i - 4*n = 3*i - 51. What are the prime factors of i?
47
List the prime factors of (-3)/8 + 5 + (-97775)/(-40).
31, 79
Suppose 1180 = 3*u + 14*o - 19*o, -2 = -2*o. What are the prime factors of u?
5, 79
Let n(o) = -71*o - 237. What are the prime factors of n(-11)?
2, 17
Let i = 1 - -2. Suppose a - i*f = -4, 0*a + 23 = -3*a - 2*f. Let m(t) = t**3 + 8*t**2 + 2*t + 6. List the prime factors of m(a).
41
Let a = 2913 - 1849. What are the prime factors of a?
2, 7, 19
Let w be (4/6)/(8/60). Let y(d) = 96*d**2 - 9*d + 7. Let g(s) = 144*s**2 - 13*s + 10. Let h(m) = w*g(m) - 7*y(m). List the prime factors of h(1).
47
Let t = 3217 - 810. List the prime factors of t.
29, 83
Let m = 23 - 21. Suppose 191 + 94 = 3*l + 3*w, -195 = -m*l - 3*w. What are the prime factors of l?
2, 3, 5
Let m be -3*2/12*-358. Suppose -d - 3*r + m = -0*d, 4*r - 179 = -d. Let x = d + -122. What are the prime factors of x?
3, 19
Suppose -25*c + 3211 = -27614. List the prime factors of c.
3, 137
Let h(s) be the first derivative of 2*s**2 - s + 5. Let p be h(5). Suppose 23 = k + 2*i, 5*k + i = 123 + p. List the prime factors of k.
29
What are the prime factors of ((-762)/9)/((-10)/165)?
11, 127
Suppose -3*j - 123 = t - 400, 0 = 2*t - 3*j - 536. List the prime factors of t.
271
Suppose -4*v - 14324 = -3*t, 148*t + 14326 = 151*t - 5*v. List the prime factors of t.
2, 1193
Let j = 16 - -44. Let a be -1 + (2 - -1) + j. Suppose -2*i = -160 + a. What are the prime factors of i?
7
Let l = 5 - 7. Let z be l/(176/92 + -2). Suppose -g + z = 2*i - 50, -3*i + 2*g + 106 = 0. List the prime factors of i.
2, 3
Suppose k + 2*k = -2*i + 20, 0 = i - 5*k + 16. Suppose 2*o + i*y - 120 = 302, -2*o + 5*y + 458 = 0. List the prime factors of o.
3, 73
Let j = -17 + 27. Let k be 42/4 - 15/j. Suppose k*b + 6 = 11*b. What are the prime factors of b?
3
List the prime factors of (-2996)/(-6) + (-3)/9 + 1.
2, 5
Let m(g) = -1 + 1 - 21*g - 25*g + 15. List the prime factors of m(-3).
3, 17
Suppose -5*h + 10*h + 5*t - 795 = 0, -h = 4*t - 174. Let j = -50 + h. List the prime factors of j.
2, 13
Suppose -5*w = -2*f + 7, -3*f + f + 6 = -4*w. Let m be 2 + (-1)/w*3. Let o(h) = -h**3 + 8*h**2 - 3*h - 2. Wh | {
"pile_set_name": "DM Mathematics"
} |
-12, 3*l + n = 0. What is the highest common divisor of m and j?
12
Let b be (-357)/(-33) + 4/22. Let z = b - 3. Let h be -2 + 87 + 1 + 2. What is the highest common factor of h and z?
8
Suppose j = 2*j - 6. Suppose -4*n + 3*b = -165, n + 3*b - 6*b - 39 = 0. Calculate the greatest common factor of n and j.
6
Let i(g) = -2*g**3 - 6*g**2 - 2*g. Let m be i(-4). Calculate the greatest common factor of 16 and m.
8
Suppose -5*f = 2*o + 2*o - 437, -4*f + 334 = -2*o. Suppose -2*l = -10 - 24. What is the greatest common factor of l and f?
17
Let n be 116/10 + (-12)/(-30). Suppose 13*t - 10*t = n. What is the highest common factor of t and 40?
4
Let y(g) = -g + 13. Suppose 11 = 3*i - 2*i. Let o be y(i). What is the greatest common divisor of 8 and o?
2
Let r(n) = n**3 - 4*n**2 + 4*n - 2. Let q be r(3). Calculate the greatest common divisor of 8 and q.
1
Suppose 4*z - r - r - 4 = 0, -16 = -4*z - r. Suppose 0 = -s - z*p - 8, s - 4*p - 26 = -6. Calculate the highest common divisor of 12 and s.
4
Let t(q) = q**3 - 10*q**2 + q - 8. Let w be t(10). Suppose c + c - 3*d = -w, c - d = 0. Calculate the greatest common divisor of c and 2.
2
Suppose 5*t + p + 1 = 0, -21 = -t + 6*t - 4*p. Let h be (-2 - t)/((-4)/(-132)). Let q = h + 46. What is the highest common factor of 13 and q?
13
Let d(l) = 6*l + 7. Let w be d(5). What is the highest common divisor of 148 and w?
37
Let g be 17*2*(-1)/(-2). Suppose b + 9 = -g. Let u = b - -37. What is the highest common factor of 11 and u?
11
Suppose 2*j = 7*j + 20. Let w be j/(-14) + 66/14. Calculate the greatest common factor of 5 and w.
5
Suppose 3*q - 3*y = 300, 3*y + y - 75 = -q. Suppose 2*o + 2*f = 3*o - q, -10 = -5*f. Calculate the greatest common divisor of 9 and o.
9
Let r = -33 + 120. Suppose j = 2*j - 4. Suppose 0 = j*u + 5*t - 20 - 153, -r = -2*u - 3*t. Calculate the greatest common factor of 6 and u.
6
Let t = -21 + 105. Suppose 0 = 5*q - 4*o - t, -2*o = 2*q + 2 - 50. Let x(l) = l**2 + 10*l + 4. Let r be x(-10). What is the greatest common factor of r and q?
4
Let q(p) = p**3 - 3*p**2 - 8*p + 6. Let b be (-1)/(0 + 3/(-15)). Let y be q(b). Calculate the highest common divisor of y and 80.
16
Let b = 77 + -41. Let t = -17 + 29. Calculate the highest common divisor of b and t.
12
Let r be -9*(-3)/(2 - -1). Let u = -95 + 176. Calculate the highest common factor of r and u.
9
Let w = -27 + 38. Suppose 0 = -a + 4*l + 13, -4*l + 0*l - 11 = a. What is the greatest common divisor of w and a?
1
Let b be 11/7 - (-30)/70. Suppose -3*t = -z - 4, 7*z - b*z + 2*t = 48. What is the greatest common factor of z and 80?
8
Let h = 67 + -15. What is the highest common factor of 130 and h?
26
Suppose -a + 2*a - 2*m - 64 = 0, -5*a - 4*m + 250 = 0. What is the greatest common factor of a and 18?
18
Suppose -11 = 5*u - 76. Suppose u = 2*y - 3. What is the greatest common divisor of y and 12?
4
Suppose 0 = t - 62 + 14. What is the greatest common factor of 16 and t?
16
Let h(w) = -6*w + 7 - w**2 - 2*w + 0. Let u be h(-9). Let o be (u/(-2))/(2/60). What is the greatest common divisor of 12 and o?
6
Let i be -5*((-568)/5 + 0). Suppose 4*z - 3*j - 1459 = -z, i = 2*z + 4*j. Let d be z/14 + 4/14. Calculate the highest common divisor of 14 and d.
7
Let q = -1 + 0. Suppose 0*z + 64 = 8*z. Let w = z + q. Calculate the highest common divisor of 1 and w.
1
Let w(q) = 2*q - 2. Let t be w(2). What is the greatest common factor of t and 3?
1
Let t(y) = -y**2 - y - 109. Let w be t(0). Let x = 16 - 37. Let d = x - w. Calculate the greatest common divisor of d and 8.
8
Let c(l) = 2*l**2 - 2 + 0*l**2 - 1 + 16*l - 5*l. Suppose -3*y - 9 = 18. Let n be c(y). What is the highest common divisor of n and 12?
12
Let i(y) = 84*y + 1 - 5 - 107*y. Let b = 3 + -7. Let x be i(b). Calculate the greatest common factor of 8 and x.
8
Let v = -21 + 23. Suppose 3*f = -4*j + 495, -5*j - v*f + 621 = f. Calculate the greatest common divisor of 18 and j.
18
Suppose -11*u + 16*u - 60 = 0. What is the greatest common factor of 2 and u?
2
Suppose 72 = 2*g + 2*f, 4*g + 2*f - 6*f = 168. What is the highest common factor of 13 and g?
13
Let u = -5 + 150. What is the greatest common divisor of 58 and u?
29
Suppose -182 = 3*s + 73. Let j = 157 + s. What is the greatest common divisor of 9 and j?
9
Suppose 2 - 34 = -3*r - 4*x, 0 = r + 5*x - 29. Calculate the greatest common divisor of r and 1.
1
Suppose 4*t = 12, -3*n + 0*t + 3*t + 60 = 0. Suppose 6*q - n - 61 = 0. What is the greatest common divisor of 7 and q?
7
Let j(h) be the second derivative of h**4/12 + 2*h**3/3 - 4*h**2 + 4*h. Let b be j(-6). What is the highest common divisor of b and 20?
4
Let q(p) = p + 3. Let h be q(5). What is the greatest common factor of h and 4?
4
Suppose -a = -23 - 16. Calculate the greatest common factor of a and 13.
13
Let z = 162 - 108. Calculate the greatest common factor of z and 135.
27
Let u = 58 - 51. Calculate the greatest common factor of u and 42.
7
Suppose -2*h - 5*a = -23, -2*a = -4*h - a + 13. What is the greatest common divisor of h and 3?
1
Suppose -4*z - 2 + 10 = 0. Suppose -4 = z*v - 24. Suppose -k = s - 112, 3*s - s + 106 = k. Calculate the greatest common divisor of k and v.
10
Suppose a = 4*a - 285. Let y = 37 + a. Calculate the highest common divisor of y and 12.
12
Let g = -80 + -101. Let q = g + 293. Calculate the greatest common factor of 16 and q.
16
Let k be 18/(-12)*12/(-9). What is the highest common divisor of 14 and k?
2
Suppose -2*y - 2*z = z - 20, 0 = -2*y - 4*z + 18. Suppose -2*a + y = 1. Let c be -1 + 14/2 - 0. Calculate the highest common factor of c and a.
6
Let r(f) = f**2 + 2*f + 1. Let t be r(-3). Let p = -1 + 3. Let b be -16*(-2 - 0/p). Calculate the greatest common factor of b and t.
4
Let k = 11 + -10. Calculate the greatest common factor of k and 7.
1
Let a(j) = j**2 - 5*j + 3. Let q be a(6). Let x = 15 + -10. Suppose y + 6 = -4*u, -2*y + 21 = -x*u - 6. Calculate the highest common factor of y and q.
3
Let x be 1/2*(0 + -38). Let l = -12 - x. Calculate the highest common factor of 1 and l.
1
Let v be (3 + -1 - 3) + -1. Let w be (3/v)/((-4)/16). Calculate the highest common divisor of w and 15.
3
Suppose 0 = -4*l + 3*l + 7. Let w be (1 - 1) + l - 2. Calculate the greatest common factor of 10 and w.
5
Let l(c) = -6*c**3 - c**2 + 4*c. Let d be l(-2). Calculate the highest common divisor of d and 54.
18
Let w = 7 - 4. Suppose 0 = w*o - 188 - 148. Suppose 2*c + 5*b - 66 = -14, 0 = -2*c + 2*b + 24. Calculate the greatest common divisor of o and c.
16
Suppose 0 = o + 15 - 80. Suppose 39 - 117 = -3*x. Calculate the highest common divisor of x and o.
13
Suppose -2*j + 279 = c, 3*j - 100 = 2*c - 672. Suppose 4*n - c = -4*u - u, -4*u = 4. Calculate the greatest common factor of n and 8.
8
Suppose -5*t + 3*f + 77 = f, -2*t - 4*f = -26. Suppose -52 = 4*d - 3*c, -5*c = d - 4 - 6. Let l be 15/(-4)*2*d. Calculate the greatest common factor of t and l.
15
Let b be (-2)/1*-9 - 0. Let u(m) = m**2 - 2*m - 1. Let g be u(-1). What is the greatest common divisor of b and g?
2
Let t be (-7)/(21/9) + 27. Calculate the highest common factor of t and 3.
3
Let s be 1/(-1)*3*-3. Let a = s + -7. Calculate the highest common divisor of a and 1.
1
Let x = -23 - -27. Suppose -3*l - 2*s = -41, -16 = -2*l + x*s + 6. Calculate the highest common factor of 91 and l.
13
Let y(f) = -3*f**3 - 3*f**2. Let h be (-1)/1*-1*-2. Let d be y(h). Let v be 34 + ((-2)/(-5))/(16/(-160)). What is the greatest common factor of v and d?
6
Let w(s) = s**2 + s - 6. Let h be w(0). Let p be 2/h + (-3)/(-9). Let x = p + 8. What is the greatest common divisor of x and 64?
8
Let t(v) = v**2 + v. Let p be t(-4). Suppose -y - 38 = -5*h + p, -3*h - y + 30 = 0. What is the greatest common divisor of 10 and h?
10
Suppose 4*i - 5 = -3*b, -5 = i - b - 1. Let y be ((-8)/i)/((-1)/(-6)). Calculate the highest common factor of y and 6.
6
Suppose -5*c + 21 = 2*s - 13, -4*c + 17 = s. Calculate the greatest common divisor of 34 and s.
17
Let c = -18 - -34. Let l = -5 - -7. Suppose l*w + 0 = c. Calculate the highest common factor of 40 and w.
8
Let o = -101 - -125. What is the highest common factor of 120 and o?
24
Let g = 22 + 20. Calculate the highest common divisor of 6 and g.
6
Let h = 470 + -295. Suppose 0 = 3*x - 2*r - h, 0 | {
"pile_set_name": "DM Mathematics"
} |
89. What is the tens digit of i?
7
Let n be (-328)/(-18) + (-8)/36. Let l be 90/21 + (-4)/14. Let u = n - l. What is the tens digit of u?
1
Suppose 3*t + v = 101, 3*t - 37 = 2*v + 49. Suppose 0 = u + 2, 3*g + 3*u = g + 2. Suppose t = 3*i - 4*n, -n = g*i - 4 - 7. What is the units digit of i?
4
Let l(o) be the second derivative of o**4/6 - o**3/3 - 3*o**2 - 5*o. What is the units digit of l(6)?
4
Suppose 0 = -2*w + 4 + 8. Suppose -2*o + w = o. What is the units digit of (-3)/(-6) + 15/o?
8
Let s(n) = 2*n - 3. Let h be 0/8 + 2 + 0. Suppose -5*f + 22 = -f + h*l, -5*f + 22 = -3*l. What is the units digit of s(f)?
7
Suppose 774 = -4*d + 10*d. What is the hundreds digit of d?
1
Suppose 3*p + 1 = -2. Let l(d) = -11*d**3 + d**2 + 2*d + 1. What is the tens digit of l(p)?
1
What is the hundreds digit of ((2 - -1) + 62)*2?
1
Suppose 0 = -3*y - 5*j + 57, -4*y + 3*y + 5*j = -39. Suppose 3*w + y = -3*r + 69, -5 = 5*w. What is the units digit of r?
6
Suppose 270 = -0*p + 3*p. What is the tens digit of p?
9
Let w be (-55)/(-3 - (-1 - 1)). Suppose 5*k - 2*g = 92, -g - w = -2*k - k. What is the units digit of k?
8
Let h = 8 + 32. Suppose 0 = -2*z + 5*t - h + 114, -z + 51 = t. What is the tens digit of z?
4
Suppose -3*j + 28 = 1. Suppose 0 + j = i. What is the units digit of i?
9
Let d(x) = -x + 5. Let g be d(0). Suppose g*t = -3*n + 47, 3*n - n + t = 36. What is the units digit of n?
9
Suppose -n = -3*n - 4. What is the units digit of -2 - n/4*46?
1
Suppose 4*b + b - 4*p - 180 = 0, -5*p + 71 = 3*b. What is the tens digit of b?
3
Suppose p = -4*t + 18, 0*p - 33 = -p + t. What is the tens digit of p?
3
What is the units digit of (-3 - -6 - 2) + 11?
2
Let m = 134 + -8. What is the tens digit of m?
2
Let j = 58 + -38. Let g = 11 - 6. Suppose j = g*o - 5. What is the units digit of o?
5
Let k(b) = -b**3 - 9*b**2 + 4*b - 13. What is the tens digit of k(-10)?
4
Suppose -4*b + 0*b + 96 = 0. Suppose -j + 27 = 4*l, -j + b = -0*j + 3*l. What is the tens digit of j?
1
Let v = -4 + 24. Let n be 179/5 + (-3)/(-15). Let z = n - v. What is the tens digit of z?
1
Let h = -8 - -17. What is the units digit of h?
9
Let z(q) = q**3 - q**2 + 1. Let h = 11 - 9. What is the units digit of z(h)?
5
Let t be 7/(-1) + (-14)/7. Let c = t - -35. What is the units digit of c?
6
Let y(g) = 3*g - 9. Let t be y(10). Let m = t - -13. What is the tens digit of m?
3
Let u(h) = -h**3 + 13*h**2 - 15*h + 44. What is the units digit of u(10)?
4
Suppose -x = 3*x - 28. Let h = -4 + x. What is the units digit of h?
3
Let g = 5 - 13. Let j(s) = s**3 + 7*s**2 - 10*s + 10. What is the tens digit of j(g)?
2
Suppose 3*v = -2*v + 65. Suppose -4*t + 45 = v. What is the units digit of t?
8
Suppose 2*i = i + 8. What is the units digit of 2/(-8) + 266/i?
3
Let j be 87/(-6)*(-2 - 0). Suppose 3*k - j = 3*x - 5, -x + 57 = 4*k. Suppose -5*b + k = -2. What is the units digit of b?
3
Suppose 2*y - 21 = -a + 12, 2*y + 3*a = 27. What is the tens digit of y?
1
Suppose 4*g - 8 = -0*g. Suppose 4*p - 3*z = 120, g*p + z = p + 23. What is the tens digit of p?
2
Let x = 97 - 87. What is the tens digit of x?
1
Let c = 0 - -1. What is the units digit of 6*c + 8/(-4)?
4
Let g(x) = -3*x + 2. Let v be g(-3). Suppose 7*t = v*t. Suppose 3*m + 24 = 3*r, -5*m + 5 + 5 = t. What is the units digit of r?
0
Let m(o) = o**3 - 8*o**2 - 3*o + 2. Let k(d) = 6*d**3 - 41*d**2 - 14*d + 10. Let p(x) = 2*k(x) - 11*m(x). What is the units digit of p(-4)?
0
Suppose 2*z - 566 = -2*x, 0 = 4*x - 2*x + 4*z - 568. What is the hundreds digit of x?
2
Suppose 11*r - 7*r + 607 = 5*t, 3*t = -2*r + 351. What is the units digit of t?
9
Suppose 0 = 5*p - 13 - 37. What is the units digit of 4/p - 174/(-15)?
2
Let x be (5 + -4)*(0 - -2). Let h(r) = r**2 + 6*r + 6. Let d be h(-8). Suppose 10 = x*q - d. What is the tens digit of q?
1
What is the units digit of 1/(-6)*-3*472?
6
Let n(k) = -k**2 + 10*k + 6. What is the units digit of n(9)?
5
Suppose -d = -2*d - 6. Let g be (0 - 3)/(2/d). Let r = 0 + g. What is the units digit of r?
9
What is the units digit of (0 - 3) + -6 + 14?
5
What is the units digit of ((-3)/((-18)/4))/((-4)/(-138))?
3
Let a(g) = -2*g - 12. Suppose -s = -1, -s + 14 = -b + 4*s. What is the units digit of a(b)?
6
Let y = 43 + -39. Let t = -7 - 8. What is the units digit of 1/4 - t/y?
4
Suppose t - 266 = -4*g, 3*g = -8*t + 5*t + 816. What is the hundreds digit of t?
2
Let i(y) be the third derivative of -y**4/24 - y**3/3 + y**2. Let h(m) = m + 4. Let n be h(-8). What is the units digit of i(n)?
2
Let x be 6/9 + (-13)/(-3). Suppose x*t - 47 = 13. What is the tens digit of t?
1
Suppose 4*y = 4*d - 28 + 4, 0 = -2*d - 2*y - 8. Suppose 3*f - d - 11 = 0. Suppose 4*o - f*c - 36 = 0, -3*c + 2*c - 16 = -2*o. What is the units digit of o?
7
Suppose 0 = -g + 6*g - 3*a - 282, 4*g - 5*a - 236 = 0. What is the tens digit of g?
5
Let l = 15 - 5. Suppose u + m + 3*m = -l, -4*u - m = -20. What is the units digit of u?
6
Let k be (1 - -1)/(-2 + 0). Let r(q) = -6*q**3 - q - 1. What is the units digit of r(k)?
6
Suppose d - 5 + 1 = 0. Let j(g) = -g**3 + 4*g**2 + 7*g - 7. Let w be j(5). Suppose -w*q = f + f - 15, 4*f - d*q = 20. What is the units digit of f?
6
Let k(j) = 4*j + 8*j + 8*j. Suppose 0*r = -o + 2*r + 9, 4*o = 3*r + 16. What is the units digit of k(o)?
0
Let b = -48 + 98. Suppose -2*m + b = 3*m. What is the units digit of m?
0
Suppose 8*i = 7*i + 2. Suppose -5*g + 80 = i*f + 3*f, 110 = 5*g - 5*f. What is the units digit of g?
9
Suppose 4*r = -0*r. Suppose 3*j - 2*j - 4*c = 83, r = -5*j + 4*c + 351. Suppose -16 + j = 3*o. What is the tens digit of o?
1
Let v be (-3)/(2/(2 - -10)). Let w = v - -38. What is the tens digit of w?
2
Suppose -12*h - 240 = -1224. What is the tens digit of h?
8
Let j = 220 + -150. Let f = j + -34. What is the units digit of f?
6
Let y(g) = 6*g**3 - g**2 - 3*g + 2. What is the tens digit of y(2)?
4
What is the units digit of (-3)/2 + (-338)/(-4)?
3
Suppose 0 = q - 5, -3*m = -5*q + 3*q - 2. Let i = 5 - 23. What is the units digit of m/18 - 32/i?
2
What is the hundreds digit of (-12614)/(-98) - (-2)/7?
1
Let r = 5 - -6. What is the units digit of r - -1 - (-6)/3?
4
Suppose 2*i + 2*c = -3*i + 158, 4*c = i - 36. What is the units digit of i?
2
Let c(g) = g**3 + 7*g**2 - 8*g + 6. What is the units digit of c(-8)?
6
Let w = -6 - -1. Let v = w + 1. Let s(b) = -3*b - 4. What is the units digit of s(v)?
8
Let x(m) = -m**3 + m**2 - 4*m + 6. What is the tens digit of x(-3)?
5
Let a(d) = 18*d**2 + d. Suppose 0*h = 2*h - 2. What is the tens digit of a(h)?
1
Let m(h) = h + 1. Let u(d) = -7*d - 16. Let g(l) = -6*m(l) - u(l). Let f(w) = -w**2 - 7*w - 6. Let s be f(-6). What is the tens digit of g(s)?
1
Suppose -4*s = 3*l + 7, 4*l - 17 = 5*s + 15. Suppose -5*v = -v - 2*d + 18, -l*d = v + 15. What is the units digit of 4 - 1/((-3)/v)?
2
Let p(s) be the first derivative of -s**4/4 + 4*s**3/3 - 3*s**2/2 + 3*s - 2. What is the units digit of p(3)?
3
Let i(a) = -a**2 - a - 1. Let d(n) = -n**3 + 4*n**2 + 5*n - 5. Let g(o) = -d(o) - 4*i(o). Let m be g(0). What is the units digit of (0 + 24/m)*3?
8
Let h be (-2 + 6)/(-3 - -1). Let r(v) = -11*v - 3. What is the tens digit of r(h)?
1
Let i be ((-12)/14)/(4/(-112)). Suppose 2*o - i = -t, t = -o - 3*t + 19. What is the tens digit of o?
1
Suppose -8*a = -3*a. Let k(d) = d**2 - d - 5. Let n be k(4). Suppose j = -a*j + n. What is the units digit of j?
7
Let g = 22 - 15. Let b = 16 - g. What is the units digit of b?
9
Let q = -8 + 12. Suppose -q*m = -21 - 3. What is the units digit of m?
6
Let v(y) = 3 - 6 + 5*y + y**3 + 1. What is the units digit of v(3)?
0
Let r(j) = 10*j + 9. Let l(h) = -15*h - 13. Let k(c) = -5*l(c) - 7*r(c). What is the tens digit of k(4)?
2
Suppose -4*n = o - 363 + 119, 2*o + n = 509. What is the hundreds digit of o?
2
Suppose -9*n = -1719 + 108. What is the tens digit of n?
7
Let n(i) = -i**3 - 3*i**2 - i - 3. Let w be n(-3). Suppose -4*v = -2*k - 54, w*v - 3*v = k - 48. Let u = v - 10. What is the units digit of u?
5
Let x(d) = 49*d + 1. What is the units digit of x(2)?
9
Suppose -557 = -8*k + 835. What is the tens digit of k?
7
Let g(y) = y**2 - y. Let p be g(1). Suppose 3*t + 4*x - 21 = 0, 0*t + 4*t - x - 28 = p. What is the units digit of t?
7
Suppose 5*l - 16 = -3*z + 13, 4 = 4*l - 4*z. | {
"pile_set_name": "DM Mathematics"
} |
f(a)).
-8*a
Let s(v) = 46*v. Let k(c) = -3*c**2. Calculate k(s(h)).
-6348*h**2
Let y(u) be the first derivative of 17*u**3/3 + 4. Let d(g) = g**2. What is d(y(q))?
289*q**4
Let d(k) = k - 4*k + 11*k - 5*k. Let o(r) = -6*r**2. Give d(o(z)).
-18*z**2
Let y(n) = n. Let h = -45 + 45. Let u(s) be the third derivative of 2*s**2 + 0 + 1/24*s**4 + h*s + 0*s**3. What is y(u(l))?
l
Let w(b) = b. Let y(t) = -4*t**2 + 4*t - 119. What is w(y(f))?
-4*f**2 + 4*f - 119
Let d(w) = -2*w + 6. Let v(p) = p - 5. Let s(q) = 5*d(q) + 6*v(q). Let o(x) = 2*x**2. Give s(o(b)).
-8*b**2
Let k(m) = -m - 98. Let f(u) = -11*u**2. What is k(f(r))?
11*r**2 - 98
Let r(s) = -26*s. Let v(p) = 2*p + 409. Calculate v(r(b)).
-52*b + 409
Let h(s) = -2*s**2 - s + s. Let d(x) = 434*x - 436*x + 0 + 0. Determine d(h(p)).
4*p**2
Let g(p) = p + 1. Suppose n + 2*n - 40 = -5*f, 4*f + 32 = 4*n. Let d(z) = 15*z + 10. Let k(s) = n*g(s) - d(s). Let i(l) = 0*l + 0*l + l. Determine i(k(j)).
-5*j
Let f(u) be the first derivative of 0*u + 0*u**2 - 2/3*u**3 + 4. Let s(a) = -12*a. Determine f(s(x)).
-288*x**2
Let k(j) = -4*j**2. Let x(i) = -115*i**2. Give x(k(h)).
-1840*h**4
Let y(l) = 3*l + 4 - 5 + 1. Let p(o) = -7*o + 6. Let b(s) = -s + 1. Let h(d) = 6*b(d) - p(d). Give h(y(q)).
3*q
Let x(t) = t**3 + 3*t**2 - 2*t. Let y be x(-2). Suppose -5*k + y = -2. Let q(f) = f**2 + 3*f**2 - k*f**2 - 3*f**2. Let l(i) = i**2. What is l(q(n))?
n**4
Suppose 0 = -2*t - 3*q + 18, 6*t = 3*t + 5*q - 11. Let s(f) be the second derivative of 3*f + 0 + 0*f**2 - 1/2*f**t. Let u(y) = y. Give u(s(v)).
-3*v
Suppose 5*j = -0*j + 2*z + 8, -j - 2 = -4*z. Suppose l + 1 = j. Let c(w) = -27*w + l + 30*w - 1. Let t(h) = -4*h**2. What is t(c(i))?
-36*i**2
Let f(d) = d. Let s(z) = 2*z. Let v(w) = 4*f(w) + 5*s(w). Let x(b) = 5*b - 3*b - b. What is v(x(r))?
14*r
Let p(m) = m. Let s(c) = c. Let b(q) = 5*p(q) - 4*s(q). Let g(k) be the second derivative of -k**4/6 + k. What is g(b(h))?
-2*h**2
Let o(u) = -2007*u - 2. Let l(j) = 3*j. Give o(l(h)).
-6021*h - 2
Let x(y) = -7*y + 3. Let a(t) = -8*t + 4. Let r(i) = -3*a(i) + 4*x(i). Let j(v) be the second derivative of -v**3/6 - 4*v. What is j(r(g))?
4*g
Let o(s) = -s. Let p(g) = 4*g. Let x(f) = -14*o(f) - 4*p(f). Suppose 3*n + 0*n = 3. Let b(m) = n - 4*m - 1. Calculate x(b(a)).
8*a
Let w(z) = -4*z - z + 8 - 11. Let t(c) = -2*c**2. What is w(t(d))?
10*d**2 - 3
Let q(b) = -3*b + 8. Let u(y) = 11*y. What is q(u(r))?
-33*r + 8
Let o(b) = 2*b - 2*b + 2*b. Let y(k) = -k**2. Determine y(o(p)).
-4*p**2
Let z(t) = t**2. Let v(o) = 3*o - 5 + 3 + 2. Give v(z(l)).
3*l**2
Let l(s) be the third derivative of s**4/12 - 2*s**2. Let v(x) be the second derivative of 2*x**3/3 + 10*x. Calculate v(l(o)).
8*o
Let x(q) = 2*q**2 - 6*q + 7. Let j be x(2). Let t(l) be the third derivative of 0*l**3 - j*l**2 + 0 + 0*l - 1/24*l**4. Let k(n) = 5*n. Give t(k(h)).
-5*h
Suppose 0 = -j + 6*j - 35. Let i = j - 3. Let b(p) = 4 - p - i. Let r(s) = -4*s. Give b(r(o)).
4*o
Let f(q) be the third derivative of 0*q + 0 + 0*q**3 + 1/24*q**4 + 2*q**2. Let v(l) = 3*l + 9 - 9. What is f(v(b))?
3*b
Let u(n) = -2*n. Let i(q) be the second derivative of q**7/2520 - q**4/3 - 3*q. Let l(f) be the third derivative of i(f). What is l(u(h))?
4*h**2
Let t(u) = u**2 + u. Let c(r) = -4*r**2. Give c(t(l)).
-4*l**4 - 8*l**3 - 4*l**2
Let y(f) = 2*f. Let p(m) be the first derivative of 7/24*m**4 + 0*m - 3/2*m**2 + 0*m**3 - 4. Let s(t) be the second derivative of p(t). Give s(y(d)).
14*d
Let a(z) = z**2 + 3*z**2 - 6*z**2. Let y(b) be the first derivative of 3/2*b**2 + 0*b - 1. Calculate y(a(n)).
-6*n**2
Let h(a) = 2*a**2 - 117*a. Let r(j) = -56*j. What is r(h(z))?
-112*z**2 + 6552*z
Let b(v) = -14*v - 4. Let j(x) = -110*x - 33. Let h(w) = -33*b(w) + 4*j(w). Let l(t) = -4*t. What is h(l(f))?
-88*f
Suppose d + 5*l - 9 = 4*d, 3*l = -3*d + 15. Let s(a) = 6*a - 2*a - d*a. Let i(v) = -11 - 8*v + 11. Determine i(s(p)).
-16*p
Let g(y) = 3*y - 3*y - y**2. Let f(b) be the third derivative of -b**5/10 - 19*b**2. What is f(g(z))?
-6*z**4
Let h(z) = -3*z**2. Let m(l) = -300*l. What is h(m(g))?
-270000*g**2
Let z be 7 + (0/(-3) - 1). Let s(x) = -z*x**2 - 3*x**2 + 8*x**2. Let u(v) = -4*v**2. Calculate s(u(i)).
-16*i**4
Let a(s) = -3*s. Suppose 0 = -7*v + 4*v. Let g(c) = 4*c - 2*c - 3*c + v*c. Determine a(g(d)).
3*d
Let p(l) = -2*l. Let o(n) = n**3 + 11*n**2 - 10*n - 9. Let r be o(-12). Let u(y) = -3*y + 2. Let g(i) = 16*i - 11. Let d(b) = r*u(b) - 6*g(b). Give d(p(q)).
-6*q
Let o(k) = -18*k**2. Let v(p) be the second derivative of -p**3/2 - 34*p. Calculate o(v(h)).
-162*h**2
Let n(h) be the third derivative of h**6/360 + h**3/6 + h**2. Let y(v) be the first derivative of n(v). Let g(z) = -4*z + 3*z - 5*z. Determine y(g(q)).
36*q**2
Let v(s) = s. Let g(k) = 225*k**2. Let h(z) = 7*z**2. Let p(d) = 6*g(d) - 195*h(d). Give v(p(x)).
-15*x**2
Let i(b) = 2*b**2. Let z(s) = 188*s. What is i(z(f))?
70688*f**2
Let r(t) = 7*t. Let o(i) = -5*i**2 - 4*i. Calculate o(r(n)).
-245*n**2 - 28*n
Let m(u) = u. Let k(f) = -2*f. Calculate m(k(o)).
-2*o
Let r(a) = -a**2 - 2*a + 2. Let y be r(0). Let s(k) be the first derivative of -2 + 0*k**y + 0*k + 2/3*k**3. Let o(g) = g. Determine s(o(p)).
2*p**2
Let f(y) = 3*y - 6. Let x(n) = -7 + 13*n - 30*n + 14 + 14*n. Let t be 1*12/(-1*2). Let w(c) = t*x(c) - 7*f(c). Let i(s) = 2*s**2. Determine i(w(k)).
18*k**2
Let w(u) = u. Let j(x) = 176*x - 6. What is w(j(t))?
176*t - 6
Let m be 3/(-9) + 2/6. Let u(f) = 3*f + 0*f - 2*f + m*f. Let j(d) = 0 + 0 + d. Calculate u(j(l)).
l
Let m(k) = 5*k. Let a(c) = -30*c + 35. Let n(p) = -p + 1. Let l(r) = 2*a(r) - 70*n(r). Let u(x) = -3*l(x) + 5*m(x). Let w(b) = b. Give u(w(z)).
-5*z
Let p be -5*(0 + -1) - 5. Let m(r) be the second derivative of 0*r**2 + p*r**3 - 3*r + 1/4*r**4 + 0. Let f(h) = -h. Determine f(m(c)).
-3*c**2
Let o(i) = -7*i. Suppose -4*p - 40 = -4. Let c(x) = 17*x**2. Let v(u) = 4*u**2. Let g(t) = p*v(t) + 2*c(t). Determine o(g(m)).
14*m**2
Let u(a) = -6*a - 5. Let j(g) = -g. Let k(c) = -1. Let h(t) = 7*j(t) + 6*k(t). Let z(x) = -5*h(x) + 6*u(x). Let f(l) = -2*l. Determine f(z(v)).
2*v
Let p(x) = -375*x**2. Let h(l) = -2*l**2. What is p(h(k))?
-1500*k**4
Let h(w) = -17*w. Let q(t) = 409*t. Determine q(h(k)).
-6953*k
Let w(t) = -7*t. Let o(y) = 6*y**2 + 2*y - 2. Let s(j) = -19*j**2 - 7*j + 7. Let h(m) = -7*o(m) - 2*s(m). What is w(h(v))?
28*v**2
Let m(u) = -u**2. Let f(d) = d**3 - 5*d**2 + d - 2. Let s be f(5). Let i(h) = -7*h**2 + h**2 + 4*h**2 + s*h**2. Calculate i(m(n)).
n**4
Let w(j) be the first derivative of -17*j**2/2 - 6. Let p(c) = 2*c**2. Determine w(p(x)).
-34*x**2
Let h(c) = 2*c**2. Let d(q) = -3682*q. Give d(h(x)).
-7364*x**2
Let x(y) = -2*y. Let q(j) = 122*j + 5. Let h(m) = 1160*m + 48. Let v(o) = -5*h(o) + 48*q(o). Calculate x(v(t)).
-112*t
Let a(u) = 33*u**2 + 4*u. Let z(r) = r**2. Calculate z(a(s)).
1089*s**4 + 264*s**3 + 16*s**2
Let y(t) = 2*t**2. Let p(o) be the second derivative of -7*o**4/12 - 46*o. Give p(y(c)).
-28*c**4
Let x(o) = 3*o. Let i(t) = 637*t**2. Give i(x(q)).
5733*q**2
Let p(z) = -7*z. Let w(q) = 21*q - 22. Let k(y) = -4*y + 4. Let b(n) = -11*k(n) - 2*w(n). Calculate p(b(c)).
-14*c
Let g(u) = -10*u**2. Let a(l) = l - 5. Let r(s) = s - 6. Let w(i) = -6*a(i) + 5*r(i). Give w(g(q)).
10*q**2
Let g(v) be the second derivative of v**4/2 - 2*v. Let f(j) = -6*j. Let d(s) = 0*s - 2*s + 0*s. Let k(q) = 17*d(q) - 6*f(q). Determine g(k(l)).
24*l**2
Let u = 5 + -1. Let l(h) = h - u*h + 2*h. Let z(y) = 2*y**2. Give l(z(a)).
-2*a**2
Let i(o) = 4*o**2. Let w(l) be the third derivative of l**4/8 - 6*l**2. Calculate i(w(z)).
36*z**2
Let r(n) = -2*n**2. Let v(d) be the first derivative of 10*d**3/3 + 11. Determine v(r(t)).
40*t**4
Let j(o) = 5*o**2. Let f(t) = -3*t**2 - 3 - 4 + 7. Give j(f(s)).
45*s**4
Let f(m) = -3*m**2. Let s(w) = -59 + 2*w + 120 - 68. Determine f(s(o)).
-12*o**2 + 84*o - 147
Let p(x) = -10*x**2 + 16*x. Let t(z) = 2*z**2 - 3*z. Let v(a) = -3*p(a) - 16*t(a). Let y(n) = 2*n**2. Determine y(v(g)).
8*g**4
Let o(r) = 3*r. Let y(v) = 11*v**2 - 9*v. Determine y(o(h)).
99*h**2 - 27*h
Let y(r) be the first derivative of -2 - 2*r**2 - 1/10*r**5 + 0*r**3 + 0*r**4 + 0*r. Let p(u) be the second derivative of y(u). Let l(h) = h. Determine p(l(d)).
-6*d**2
Let r(n) = 2*n**2. | {
"pile_set_name": "DM Mathematics"
} |
- -36. Is 16 a factor of r?
True
Let u be (-4)/(12/5)*-3. Let l = u - 0. Is 2 a factor of l?
False
Let v = 1 + 5. Does 3 divide v?
True
Let f be 1*8 + (0 - 0). Suppose -24*p + 22*p = 0. Suppose 5*v - 4*i - 59 - 26 = p, -i + f = v. Is 12 a factor of v?
False
Let t(y) = -3 + 5*y + y**2 - 4*y - y. Suppose a - 2 - 1 = 0, -2*z - 2*a = 4. Is 22 a factor of t(z)?
True
Suppose 40 = -3*q - q. Let p = 6 - q. Suppose r - 3*k = 35 - 2, -2*r = 4*k - p. Is r a multiple of 13?
False
Suppose 3*g + 7 - 1 = -2*o, -3*o + g = -13. Let f(a) = a**2 + a - 3. Is 9 a factor of f(o)?
True
Suppose -3*d = -6, -v - 5*d + 14 = -0*d. Let o = 29 + -38. Does 8 divide o/(-6) + 38/v?
False
Let h(p) be the second derivative of -p**5/10 - p**4/4 - p**3/3 - 3*p**2/2 + p. Let k be h(-2). Does 3 divide (1 + 1)*(k + -1)?
False
Is 8/(3/(24*1)) a multiple of 19?
False
Let n(t) = -t**3 + 5*t**2 + 12*t - 1. Is n(6) a multiple of 7?
True
Suppose 23 = a + 3*n, 2*a + 2*n = 4*a - 62. Is a a multiple of 13?
False
Let z = -2 + 17. Is z a multiple of 3?
True
Suppose -3 = -3*x + 6. Suppose 0 = -x*l + 6. Suppose -3 = l*h - 71. Is 18 a factor of h?
False
Let w(a) = 7*a**2 + 1. Is 16 a factor of w(3)?
True
Suppose 3*n - n - 18 = -5*p, 4*p = 5*n - 12. Let a = p + 6. Is 4 a factor of a?
True
Suppose -m + 0*m = -x + 5, -4*x - 5*m = -29. Suppose x*d - 4*d = 6. Suppose -d*i = -33 + 3. Is 3 a factor of i?
False
Suppose 8 = o + 2. Suppose h + 30 = o. Does 2 divide 2/(-5) + h/(-10)?
True
Let u(i) = 2*i**2 - 4*i - 14. Is 28 a factor of u(7)?
True
Let c(o) = o**3 + 9*o**2 - 3*o - 6. Let m be c(-4). Let g = m + -35. Does 13 divide g?
False
Let d = -189 - -324. Is d a multiple of 27?
True
Let h be 2/(-6) + (-5)/(-15). Suppose -5*o + 0*k + 4*k + 134 = h, -4*k + 22 = o. Is o a multiple of 13?
True
Suppose 16 = -24*g + 26*g. Is 4 a factor of g?
True
Suppose 0*p + 15 = p - 3*a, -3*p + 3*a + 15 = 0. Suppose d + p*d = 3*m - 131, 2*m = -d + 84. Does 23 divide m?
False
Suppose 4*j = -5*q + 45, 3*q + 5*j - 2*j - 30 = 0. Suppose 3*h + 38 = q*h. Suppose -h = -z - s, 39 = z - s - 2*s. Does 12 divide z?
True
Let g = 91 + -3. Suppose -2*m + g = 2*p, -2*p - 42 = -m - p. Is 20 a factor of m?
False
Let y(o) be the third derivative of o**5/60 + o**3/3 + o**2. Let k be y(3). Suppose -w + k = -0*w. Does 11 divide w?
True
Let t = 205 + -111. Does 12 divide t?
False
Suppose 0 = 8*z - 2*z - 894. Is z a multiple of 10?
False
Let g = -23 + 26. Suppose l + f + 276 = 0, 3*l - 6*f + f + 796 = 0. Is l/(-12) + g/9 a multiple of 10?
False
Suppose -4*a = 2*z - 10, -2*a - 3 = -3*z - 4. Let t be 501/18 + a/12. Let v = t - -8. Is v a multiple of 12?
True
Let f = 73 + -37. Is 4 a factor of f?
True
Is 13 a factor of (-1)/((-9)/2) - (-1060)/9?
False
Let z(i) = -i**3 + 8*i**2 - 4*i - 7. Let s be (-2 - 1) + 4 - -5. Is z(s) a multiple of 17?
False
Let k(g) = 25*g**2 + 2*g + 6. Is k(-2) a multiple of 34?
True
Let b = -49 - -209. Does 20 divide b?
True
Let k(b) = 39*b**2 + 2*b - 1. Is k(2) a multiple of 53?
True
Let n = -10 - -7. Suppose -5*g + 3*g = 0. Let p = g - n. Does 2 divide p?
False
Let q = -23 - -128. Is q/2 + (-6)/12 a multiple of 20?
False
Let a(l) = -l + 12. Is a(-7) a multiple of 11?
False
Let w = 45 + -5. Is w a multiple of 25?
False
Does 33 divide -3*(-4 + 5) + 326?
False
Let t be 1/6 + 946/12. Suppose 0 = 5*u - 4*f - 15 - 128, 0 = -3*u - f + t. Is 13 a factor of u?
False
Suppose -w - 3*w = 0. Let q be (15/(-6))/((-2)/60). Suppose 0*v = -4*l - v + 51, 5*l + 5*v - q = w. Does 6 divide l?
True
Let q = -3 - -23. Does 2 divide q?
True
Let x = -80 + -2. Let z = 164 - x. Does 13 divide z/9 - (-3)/(-9)?
False
Let n = 0 + 31. Is (-3 - -5 - 1) + n a multiple of 16?
True
Suppose 0 = 27*m - 25*m - 160. Is 13 a factor of m?
False
Suppose 6*u - 286 = 62. Is 31 a factor of u?
False
Suppose -5*d = -64 - 111. Let q = 62 - d. Does 9 divide q?
True
Let b = -175 + 179. Does 4 divide b?
True
Let u(k) = -k**3 - 4*k**2 - k. Let o be u(-4). Suppose 0*n + 40 = 4*n. Let i = n + o. Is 14 a factor of i?
True
Suppose 5*i - 600 = -i. Is i a multiple of 20?
True
Let p(q) = -18*q**2 - 7*q - 4. Let y(h) = -9*h**2 - 4*h - 2. Let c(m) = -6*p(m) + 11*y(m). Is c(2) a multiple of 17?
True
Suppose -15 = 3*p, p = 5*i - 65 - 10. Is i a multiple of 10?
False
Let s(i) = -5*i**2 + 4*i - 9. Let g(j) = -9*j**2 + 8*j - 17. Let t(w) = 6*g(w) - 11*s(w). Let f be ((-1)/2)/(3/36). Does 9 divide t(f)?
True
Suppose -d = 31 - 85. Does 25 divide d?
False
Suppose 4*w + 8 = 0, 0 = 2*q + 2*q + 3*w - 18. Suppose q = -14*p + 15*p. Is p a multiple of 3?
True
Let y = 41 + -31. Does 10 divide y?
True
Suppose -4*d + 153 - 65 = 0. Is 11 a factor of d?
True
Let r(t) = -t**3 - 4*t**2 + t + 4. Does 8 divide r(-5)?
True
Let n(v) = -247*v**2 - v. Let z be n(1). Is 6 a factor of 16/24 - z/6?
True
Let x = 41 + -10. Does 8 divide x?
False
Let g = -130 + 183. Is g a multiple of 18?
False
Let o = 39 - 21. Is 9 a factor of o?
True
Let k(h) = h**3 - 3*h**2 - 7. Is 11 a factor of k(5)?
False
Let y = 119 - 11. Is 18 a factor of y?
True
Let j(p) = 18*p**2 - 3*p + 3. Is j(3) a multiple of 43?
False
Suppose 0*t + 4*t = 24. Is t a multiple of 6?
True
Let b = 14 + 56. Does 29 divide b?
False
Is ((-342)/27)/((-2)/3) a multiple of 19?
True
Suppose -14*o + 99 = -13*o. Does 13 divide o?
False
Let h = -109 + 75. Let p = h - -67. Is p a multiple of 14?
False
Let n(z) = z**2 - 10*z - 4. Is n(12) a multiple of 20?
True
Let a(d) = 15*d**2 + 10*d - 1. Let i(z) = 8*z**2 + 5*z - 1. Let p(b) = 6*a(b) - 11*i(b). Let y be 504/(-81) + 2/9. Is p(y) a multiple of 19?
False
Let b(k) = -3*k - 8. Let z(d) = -3*d - 7. Let s(r) = 4*b(r) - 3*z(r). Does 12 divide s(-14)?
False
Let p = 7 + -17. Let q = 10 - p. Is 10 a factor of q?
True
Let m be 4/(159/(-165) + 1). Suppose y - m = -41. Suppose -j + 5*g - 11 = -2*j, 0 = 4*j - 5*g - y. Is 6 a factor of j?
False
Suppose -3*w + 88 = 19. Is w a multiple of 17?
False
Let r(k) = -4*k**2 + 2*k**3 - k**2 + 4 - 5*k**3 + 4*k**3. Let l be r(6). Suppose l = h + h. Does 17 divide h?
False
Suppose 0*x + x - 14 = 0. Suppose 0*g + 4*f - x = -2*g, 5*g = 2*f + 47. Does 4 divide g?
False
Let s(v) = -9*v - 3. Let j be s(-2). Let t = 1 + j. Is t a multiple of 8?
True
Does 6 divide 6 - ((-4)/(-4) - 2)?
False
Let x be -3*5 - 0/1. Let o = x + 27. Is 6 a factor of o?
True
Suppose -3*q - s + 83 = 0, -4*q + 23 = -3*q + 5*s. Suppose -3*f + 46 = -4*x, 2*f - 3*x - q = x. Is f a multiple of 9?
True
Is (-25)/(10/(-2))*13 a multiple of 13?
True
Let h(z) = -z**2 + 1 - 3*z**3 + 1 - 2*z - 3. Let u be h(-1). Let b(f) = f**3 - 2*f - 2. Does 19 divide b(u)?
True
Let p = 75 - 20. Is p a multiple of 5?
True
Let p = 162 + -43. Let l = -70 + p. Is l a multiple of 20?
False
Suppose -4*y + 2*y = 0. Let n(b) = b + 16. Is 16 a factor of n(y)?
True
Suppose 8*v - 15 = 3*v. Suppose -v*n = -2*f, 0*n - 4*f = -2*n - 8. Suppose n*q - 51 - 9 = 0. Is q a multiple of 15?
True
Is ((-192)/20)/(-8)*(-2670)/(-9) a multiple of 36?
False
Suppose -12 = -3*b, -t + 5*b = b + 9. Let u = t + -4. Suppose 4*v - 5*o - 115 = 0, -u*o - 147 = -v - 4*v. Does 10 divide v?
True
Let m(s) = s**3 + 7*s**2 + 8*s + 28. Let z be m(-7). Let l be (40/6)/((-4)/(-30)). Let j = l + z. Is 11 a factor of j?
True
Let i(v) = -v**2 + 15*v + 9. Let n(c) = c**2 - 5*c + 9. Let x be n(6). Does 2 divide i(x)?
False
Suppose 0 = -2*a - 4*d - 22, 4*a + 3*d + 54 = 5*d. Let r = 7 + a. Is (-3)/r*-2*-7 a multiple of 7?
True
Let z(g) = 3*g + 4*g - 9 + 8 + g. Is z(2) a multiple of 7?
False
Let a(y) be the third derivative of -y**5/60 - 5*y**4/24 - y**3/3 + 2*y**2. Let d be a(-4). Suppose -2*o - o - 3 = -3*q, -d*q = 4*o - 32. Does 4 divide q?
False
Let t be 1/5 + 18/10. Suppose 3*i - t*a + 14 = 0, 2*a + 4 = -4*i + a. Is 11 a factor of (-33)/((-7)/2 - i)?
True
Let u = -5 + 0. Let c be ((-12)/(-15))/((-2)/u). Suppose 28 = c*j - 5*b, -j + 1 = -2*b - 13. Is j a multiple of 14?
True
Let h(k) = k**2 + 4*k - 57. Is h(-13) a multiple of 4?
True
Let a = 143 - 106. Is 15 a factor of a?
False
Suppose h + 2*h - 6 = 0. Suppose 132 = 3*b - 3*f, -6*f + 12 = -h*f. Is b a multiple of 12?
False
Let u be (2 + -1)*-2 - -2. Suppose 64 = -u*w + 4*w. Does 8 divide w?
True
Let j(d) = -28*d + 4. Does 15 divide j(-2)?
True
Let f(m) = m**3 + 5*m**2 + 2*m + 3. Let p be (-1)/(1*(-2)/22). Suppose -i = -2, -5*z + 4 = 4*i + p. | {
"pile_set_name": "DM Mathematics"
} |
-2/33)*c*c/c**2)**(-1/5) assuming c is positive.
c**(-64/165)
Simplify (a*a**0)**(-48)/((((a/a**1)/a)/a)/(a/(a/(a*a**1))))*a**(1/6)/(a/(a*a*a**4))*((a*a*a*a**(-1))/a)/((a**(-1/3)*a)/a) assuming a is positive.
a**(-75/2)
Simplify (y/(y**(-3/20)/y))/((y*(y/y**(-2))/y*y)/y)*((y/(y/(y*y*y**(-38)*y)))/y)/(y*y**(1/46)) assuming y is positive.
y**(-17421/460)
Simplify ((((z*z*z/(z**14*z))/z)/z**(-2/7))**27)**16 assuming z is positive.
z**(-38448/7)
Simplify ((k/(k**(-4)*k*k))/k)/k**(-4)*k**(-1/3)*k*k/k**(1/2)*k**7/(k**(2/19)*k)*k/(k/(k*k**(-5)/k)*k*k*k)*k**3 assuming k is positive.
k**(919/114)
Simplify (((h/(h/(h/(((h**2*h)/h)/h*h)))*h)/h*h*h*h/h**(-5))/(h**(1/10)/h**(-2/15)))/((h/h**(4/3))/h**(-1/3)*h/(h*h**(-2)/h)*h**(-2/17)) assuming h is positive.
h**(1981/510)
Simplify (x/(x**12/x*x)*x**(7/2)*((x*x**0*x)/x)/(x/(x**(-12)/x)))**(-2/89) assuming x is positive.
x**(41/89)
Simplify (t*t**7*t**(-5)*t**2/t*(t/t**(-2/5))/t)/(t**(-8)/(t/(t/(t/(t/(t/t**(-5)))))))**(-2/3) assuming t is positive.
t**(-74/15)
Simplify (o**(3/11)*o*o/(o*o/(o*o/(o/o**(-2/9)*o))*o))/(o**(1/2)/o)**(-41)*(o/(o*o**(-2)*o*o)*o)**(-5/4)*o**(-4)*o**(-1/9)/o assuming o is positive.
o**(-3671/132)
Simplify ((p**(-2/23)/((p**(-4)/p)/p))/((p**1*p)/p**3))/(p**(3/8)*p*p**(-2/11)*p/p**(-1/4)*p*p**(2/5)) assuming p is positive.
p**(31067/10120)
Simplify ((n/(n/(n*n**12)*n)*n)/n**(-2/33))**(-38)/(n*n/(n*n**(2/7)*n*n)*n**(3/7)/n)**27 assuming n is positive.
n**(-103063/231)
Simplify (((y**(-42)*y*y)/y)/y)/y*y**(-5/16)*y**(-44)/(y/(y/((y*y/(y*(y/y**(-1/21))/y)*y)/y))) assuming y is positive.
y**(-29657/336)
Simplify (c**(-1/11)*c**(-7/3))/(c**(1/10)/c**4)*(c**(-1/5)*c)**(2/89)*(c**(-2)/c*c*c*c)**(-6/13) assuming c is positive.
c**(43871/29370)
Simplify ((((r*r**(-1/2))/(r**(-2)/r))/((r/((r**(-5)/r)/r*r))/(r*(r*r*r**0*r)/r)))**(-2/43))**(-44/3) assuming r is positive.
r**(-44/129)
Simplify ((k*k/((k/(k**(1/3)*k))/k))**(-33)*(k**(16/3)/k)/k*k/(k*k**(-7)/k))**(-1/5) assuming k is positive.
k**(296/15)
Simplify (k**6*k/k**1*(k*k/(k**1*k*k))**(-36))/(((k/k**(-2/15))/k)/k**(-4)*k**(-5/6)*k**0) assuming k is positive.
k**(387/10)
Simplify (((k**8*(k**(-7/3)*k)/k)**37)**30)**39 assuming k is positive.
k**245310
Simplify (((b*b*(b/b**6)/b)/b**0)/(b/(b**1/b*b*b))**(-17/3))/((b*b/b**0)**3/(b*b**(-1/5)*b**(-1))) assuming b is positive.
b**(-238/15)
Simplify ((d**(-1/2))**(23/4)/(d**(-1))**(13/6))/((d*d**(-2)*d)**(-1/69))**(-35) assuming d is positive.
d**(-17/24)
Simplify (((u/((u/u**(-4))/u))/(u**11/u*u))/(u**8)**(-19))**38 assuming u is positive.
u**5244
Simplify ((q/((q*q/(q/(q/(q*q**(11/2)*q*q*q*q))))/q)*q/((q*q*q**(13/3))/q))/(q**4*q*q**(9/5)))**(11/7) assuming q is positive.
q**(-209/210)
Simplify (((d*d**21)/d*d*(d/d**(-3/5))/d)/(d**(-6))**28)**(-11/8) assuming d is positive.
d**(-10483/40)
Simplify ((p/(p*p**(-3/5)*p*p*p*p*p))**(-1/2))**(-21)/(p**16/p**(4/7))**(-4/17) assuming p is positive.
p**(-25329/595)
Simplify ((z**(-6/23)/z)/(z/(z/((z/(z/(z**(-3/7)*z))*z)/z)*z)*z*z))/(z**41*z*z**6/z) assuming z is positive.
z**(-8023/161)
Simplify ((o**(-1)/o)/o**(2/9)*(((o*o*o/(((o*o**(-2/3))/o)/o*o)*o)/o)/o*o)**40)/((o*o*o*o**0)**8/(o*o/(o**0/o)*o)**(-47)) assuming o is positive.
o**(-608/9)
Simplify ((((x**(1/6))**(-12/13))**(-44))**(-14))**(-27) assuming x is positive.
x**(33264/13)
Simplify ((f**(-4/13)*f**(-1/7))/((f*(f/(f/(f*f**(12/11))))/f*f)/f*(f/(f*(f/(f*f**8*f))/f*f*f*f))/f))**(-13/4) assuming f is positive.
f**(4275/154)
Simplify ((c**(9/2)/(c/c**3)*c**(-3/5)/c**(-4/11))**32)**(4/17) assuming c is positive.
c**(44096/935)
Simplify ((w/w**19*w)/w**(-13)*(w**(6/11))**(-50))**40 assuming w is positive.
w**(-13760/11)
Simplify (v/v**7*v**(-1/2)*v*(v/(v/(v**(-5)*v*v*v)))**34)**(9/5) assuming v is positive.
v**(-1323/10)
Simplify (((v**(-4)*v)/(v*v*v/(v**4/v)))/(v**(2/7))**(18/7))/((v*v**(2/21))/v**(1/4)*v**2*v**(-4)*v) assuming v is positive.
v**(-2105/588)
Simplify (((s**2/s*s/(s/s**(6/5)))/(s**(-1/4)*s**(-5/3)))**26)**(-8) assuming s is positive.
s**(-12844/15)
Simplify (l**(-5)/l**(-8))**(2/17)/((l*l/(l**(-2/13)*l))/(l/((l*l**2*l)/l)*l)*l**(3/4)/(l/(l**(-1/8)*l*l))) assuming l is positive.
l**(-6057/1768)
Simplify ((o/(o*o*o/o**(2/13)))**(-1/45)*(o**(-25))**(-28))**(-9/2) assuming o is positive.
o**(-204762/65)
Simplify ((h**(-4)/(h/(h*h**0))*(h/(h*h**(-1/5)))/h**(3/7))**30)**48 assuming h is positive.
h**(-42624/7)
Simplify ((p/p**(2/11))**(-15))**(-2/99)/(p**1*p/p**(1/6))**(1/5) assuming p is positive.
p**(-431/3630)
Simplify ((q/(q**(-2)*q))/(q**(-8/7)/q*q))**(-44)/((q*q/q**4)/(q*q**3))**(-42) assuming q is positive.
q**(-2732/7)
Simplify (s**(4/5)/((s*(s*s**(2/21))/s*s)/s))/((s*s**(1/6))/s**(-6))*(s**(-3/5)*s**(-4)*s*s*s)/(s*s**0)**(3/8) assuming s is positive.
s**(-7927/840)
Simplify (z**7*z)/z**1*(z/z**(8/11))**14 assuming z is positive.
z**(119/11)
Simplify (z**(-2/13)/z)/z**(8/5)*(z/z**16)/z**(1/32) assuming z is positive.
z**(-36993/2080)
Simplify ((a/(a**2/a)*a*a**(-1/6)/a*(((a*a*a**(3/7)*a)/a)/a)/(a/a**(-2/3)))**(-11/3))**44 assuming a is positive.
a**(4114/63)
Simplify (z**(-4)/(((z**(2/7)/z)/z)/z))**10*(((z/(z**(-3/5)/z))/z*z*z)/(z/((z/(z**(-1/10)/z))/z)*z))/(((z*z**(1/2))/z)/z**1) assuming z is positive.
z**(-338/35)
Simplify b**0*b/(b/(b*(b/b**(-6))/b*b))*b*b*b**(-2/11)/(b**3*b)*((b*b**2*b)/(b*b*b/(b**(1/8)/b)))**48 assuming b is positive.
b**(130/11)
Simplify ((k*k**(1/2)*k*k/k**(6/7))/((k*k**5*k)/k**(1/6)))/(k**6*k*k*k/(k/k**(-10/3)))**(-8/7) assuming k is positive.
k**(8/7)
Simplify (i**(-33)/i**(6/17)*i**38*i**(1/23)/i)**29 assuming i is positive.
i**(41847/391)
Simplify (i/(i**(-8)/i)*i/(i/(i*i**(-8)/i*i))*i/(i/(i/i**(2/29)))*i/(i**(-1)*i))/(i**(3/4)/(i**(2/9)/i*i)*i**0/(i*i**(-2/5))) assuming i is positive.
i**(26117/5220)
Simplify (((f*f/(((f*f**(-1/4))/f)/f)*f)/f**0*(f**(-1))**(-5/3))**(-1/26))**(-7/6) assuming f is positive.
f**(497/1872)
Simplify (((((w/((w*w**(-7)/w)/w))/w*w*w)/w*w)/w*w**(-1/3))/(((w/(w/(w/w**(-6)*w)))/w*w)/w**4))/((w*w**3/w*w)**34)**(2/75) assuming w is positive.
w**(26/25)
Simplify (k**(-1/3)/(k/(k**21/k))*k**(-6/11)/k*k/k**(5/6)*k)**(-31) assuming k is positive.
k**(-37417/66)
Simplify ((j/(j**(-4/7)*j*j))/j**21)/((j**(2/27)*j)/j*j*j/(j**42*j)) assuming j is positive.
j**(3685/189)
Simplify ((b/b**(1/7)*b*b*b**2)/(b**(4/3))**43)**18 assuming b is positive.
b**(-6612/7)
Simplify ((u/u**2)/(u*u**(-2/13)))**45/(u**(-6)/(u*(u*u**(-6)*u*u)/u)*(u**(-1/2))**11) assuming u is positive.
u**(-1939/26)
Simplify ((w*w**22*w)**39/((w/(w*w/(w/w**(2/5)*w)*w))/w**(-15)))**(5/18) assuming w is positive.
w**(4607/18)
Simplify (((f**(4/7)/f)/(f/(f**(-1)/f)))/((f*f**(1/3))/(f**(-1/4)*f)))/(f/f**(2/13)*f**(1/15))**(-2/13) assuming f is positive.
f**(-91599/23660)
Simplify ((i**(2/7)/(i*i/i**11))/((i/(i**(-22)*i))/i**(-7)))**(-48) assuming i is positive.
i**(6624/7)
Simplify (s**(-27)/s)**(-42)/((s**(12/11)*s)/s)**(40/7) assuming s is positive.
s**(90072/77)
Simplify (n/n**2*n**3)/(n/n**1)**(-48)*(n**(-1/4))**(-18)/(n*(n**(3/5)/n)/n*n*n**(-2)) assuming n is positive.
n**(79/10)
Simplify (r/r**(2/5)*r)**(-4/5)*(r**(-3)*r)/r**1*((r*r**(-4/3)/r*r)/r*r**(-4/7))/((r**(1/4)/r)/(r*((r/(r*r**(-3/2)*r))/r)/r)) assuming r is positive.
r**(-12463/2100)
Simplify (x**(-2/5)*x*x)**(4/23)/(x**7/(x**4/x*x))*x/(x/(x**4/x*x))*x/x**(-6)*x/(x/((x/(x*x*x/x**(2/17)))/x))*x**0/x assuming x is positive.
x**(8594/1955)
Simplify ((r**36*r*r**(-19))/(r/((r/r**(9/5))/r))**(-1/9))**(-6/7) assuming r is positive.
r**(-1648/105)
Simplify (((i*i/i**(4/5)*i)/(i*i/(i*i**1)))/(i**7*i**5*i))/((i*i**(-10))/i*i/(i*i**(-4))*i)**(1/37) assuming i is positive.
i**(-1973/185)
Simplify (g**(-1/4)*(g/g**(-7))/g)/((g**(-2/13)/g)/g**(-3))*(g/g**1)/g**3*g**6*g/g**(3/5) assuming g is positive.
g**(2159/260)
Simplify (h*(h**14/h)/h)**(-13/5)/(h**(-40)*h*h/h**(3/23)) assuming h is positive.
h**(498/115)
Simplify ((q**0)**20)**(-38)*((q**(-3))**(12/17))**(2/29) assuming q is positive.
q**(-72/493)
Simplify ((v/v**(-1))/v)**3/(((v**(3/2)*v)/v*v)/(v**1*v))*(v*v**(-2/7))**(-31)/(v/v**6*v*v*v/((v*v**7)/v)*v) assuming v is positive.
v**(-163/14)
Simplify ((v**(1/3))**(-3/16)/(v**0)**(-47))/(v**1*v*v/v**(-7))**23 assuming v is positive.
v**(-3681/16)
Simplify (((l*((l*l/(l**3/l)*l)/l)/l)/l)/(l/((l/l**(-3/8))/l)))**(-2)/((l** | {
"pile_set_name": "DM Mathematics"
} |
1) + -4. Let h(c) = 36*c + 1. Let i(w) = -37*w. Let n(l) = p*i(l) - 4*h(l). What is the remainder when n(3) is divided by 30?
29
Suppose 0 = -42*i + 40*i + 26. Let y = 3 + -1. Suppose 0 = y*u - 141 + 15. What is the remainder when u is divided by i?
11
Let t be 7/((3/(-33))/1). Let q = -56 - t. Calculate the remainder when 83 is divided by q.
20
Let p = 156 + -91. Calculate the remainder when p is divided by 17/(-2)*(10 - 12).
14
Suppose 0*x + 2*x = -f - 15, 3*f = 5*x - 56. Let q = f - -20. Calculate the remainder when -1*q*(3 - 12) is divided by 10.
7
Let w be 4/(-18) - (-76)/18. Suppose -w*o + 6 = -6. Suppose 3*t = 5*t - 4*j - 24, 5*t - 3*j = 53. Calculate the remainder when t is divided by o.
1
Let i = -53 - 26. Let h = -61 - i. What is the remainder when ((-3)/2)/(2/(-68)) is divided by h?
15
Suppose -14 = i - 49. Suppose 3*z - 31 = i. Calculate the remainder when z is divided by 12.
10
Suppose 3*v + 147 = m, 427 = 12*m - 9*m - 2*v. What is the remainder when m is divided by 21?
15
What is the remainder when 69 is divided by (-2)/(2*-1*(-5)/(-165))?
3
Let y be 3/(-3)*(-4 - 27). Let j = y + -1. Suppose 0 = 2*f - t - j, -2*f + 4*t + 8 + 10 = 0. What is the remainder when f is divided by 9?
8
Suppose -23*f - 600 = -4924. What is the remainder when f is divided by 99?
89
Let y = 74 - 73. Calculate the remainder when 8 is divided by y.
0
Suppose 4*u = -76*c + 75*c + 399, u = 3*c + 103. What is the remainder when 796 is divided by u?
96
Suppose 6*t = 4*t, -3*f + 3*t = -750. Calculate the remainder when f is divided by 52.
42
Let z be ((-96)/40)/((-4)/50). Let b = 4 + z. Let h = 53 - b. Calculate the remainder when 74 is divided by h.
17
Suppose 0 = 3*m - 45 - 294. What is the remainder when m is divided by 39?
35
Let d = -2208 - -2307. Suppose 4*p - 112 = 4*v, -v + 22 = p - 0*v. What is the remainder when d is divided by p?
24
Suppose 0 = 7*q - 50 - 34. Suppose q*j = 10*j + 46. Let v(l) = -l. What is the remainder when j is divided by v(-6)?
5
Let a(z) = z**3 - 5*z**2 + 5*z + 1. Let s be a(4). Suppose -105 = -0*q - s*q. Let g = 115 - 107. Calculate the remainder when q is divided by g.
5
Let a be ((-5)/3)/(65/(-15) + 4). Calculate the remainder when 95 - (8/(-10))/(2/a) is divided by 11.
9
Let w be (-2 - (5 + 1))*26/(-104). Suppose 5*m - 3*u = 680, 3*m - 3*u + w*u = 412. What is the remainder when m is divided by 35?
34
Suppose 7*r = 234 - 24. Calculate the remainder when 419 is divided by r.
29
Let l = -633 + 898. Suppose l = 2*y + 3*y. What is the remainder when y is divided by 7?
4
Let p(m) = 44*m + 327. Calculate the remainder when p(-6) is divided by 44.
19
Let h be (-4)/(-2) - (-12 - 5). Let q = h - 10. Let c(l) = 3*l**2 - 4*l - 8. Calculate the remainder when c(4) is divided by q.
6
Calculate the remainder when (18120/(-16))/(-15) - 2/4 is divided by 10.
5
Suppose -140 = -q + 5*v, -6*q + 8*q - 4*v - 262 = 0. Calculate the remainder when 258 is divided by q.
8
Calculate the remainder when 162/5*330/132 is divided by 27.
0
Suppose 2*j = -2*r + 52, -7*j + 4*j - r + 70 = 0. What is the remainder when 60 is divided by j?
16
Let p(w) = w**3 + 7*w**2 - 8*w + 18. Let y be (14/3 + -2)*24/(-8). What is the remainder when 33 is divided by p(y)?
15
Suppose 4*d - 3*d = 3, -5*n - 3*d = -69. Let o(g) = 14*g + 116. Calculate the remainder when o(-5) is divided by n.
10
Let b(z) = z**3 + 9*z**2 + 13*z + 61. Calculate the remainder when 77 is divided by b(-8).
14
Suppose -5*v + 86 = -3*v. Let u(t) = -t**2 + 5*t + 29. Calculate the remainder when v is divided by u(7).
13
Let u be (-20)/16 + (-2)/(-8). Let g(k) = 63*k**2 - k - 1. What is the remainder when g(u) is divided by 16?
15
Let z = 524 + -44. Suppose 9*a = -7*a + z. What is the remainder when 209 is divided by a?
29
Let k = 625 - 591. Calculate the remainder when 79 is divided by k.
11
Suppose -8 + 22 = 2*j. Calculate the remainder when j*(66/21 - -4) is divided by 13.
11
Let j(i) = -2*i + 1. Let b be j(-1). What is the remainder when 59 is divided by (3 + b)/(1/5)?
29
Suppose 0 = -m - 3*r + 37, m + r - 33 = -0*m. Suppose 5*u + 5*f = 1095, -u - 207 = -2*u + 3*f. Calculate the remainder when u is divided by m.
30
Suppose -18*x + 208 = -14*x. Let z = x + -32. What is the remainder when 77 is divided by z?
17
Let g(t) = 4*t - 36. Let m(x) = 2*x - 11. Let u be m(15). What is the remainder when g(u) is divided by 9?
4
What is the remainder when 107 is divided by (-3 - (0 - -3)) + 33?
26
Let b(m) = -m**3 - 13*m**2 + 17*m + 13. Let i be b(-14). Let u = -25 - i. What is the remainder when 14 is divided by u?
2
Let u be (-10)/45 + 79/(-9). Let q be u/(-2) + 1/(-2). Suppose -5 - q = -3*z + f, -4*z - 3*f = -12. What is the remainder when 15 is divided by z?
0
Suppose 4*t = -t + 35. Let d = -51 + 54. Calculate the remainder when t is divided by d.
1
Let t(o) = -3*o + 73. Calculate the remainder when t(7) is divided by 8/(-6)*(-84)/8.
10
What is the remainder when 17 is divided by (-32)/(-28)*126/18?
1
Let c(h) = -2*h**2 + 58*h + 27. Calculate the remainder when 97 is divided by c(29).
16
Let u(b) = 5*b**2 + 2*b. Suppose 29*n - 26*n - 12 = 0. Suppose 0 = -n*p + 4*j - 0*j + 80, 5*p + 4*j = 109. What is the remainder when u(-3) is divided by p?
18
Suppose 2*r - 17 = -3*n - 6, -23 = -4*n - r. Let z(p) = -p - p**3 + 15*p**2 - 8 - 8*p**2 + 6*p. What is the remainder when z(n) is divided by 14?
13
What is the remainder when (-427)/(-13) + (3 - 37/13) is divided by 14?
5
Suppose 0 = 8*a - 75 - 325. Suppose a = 3*p + 32. What is the remainder when 13 is divided by p?
1
Let a(p) = 3*p**3 + 2*p**2 + 2*p - 3. Let n(b) = b**3 - b + 1. Let k(g) = -a(g) + 4*n(g). Calculate the remainder when 89 is divided by k(4).
14
Suppose -3*m + 2*b + 125 = 28, -4*b - 32 = 0. Let j(f) = 14*f**2 + 1. What is the remainder when m is divided by j(1)?
12
Let u = 997 - 765. What is the remainder when u is divided by 56?
8
Suppose -5*h = -3*k + 119, -2*k + 3*h + 80 + 0 = 0. Calculate the remainder when k is divided by 13.
4
Let p be 2/(-16) - (-3)/24. Suppose -2*r + r + 38 = p. Suppose 0 = 3*x - 41 + r. What is the remainder when 1 is divided by x?
0
Let q(u) = -u**3 + 11*u**2 - 8*u - 12. Let v be q(10). Let k(m) = m**3 - 7*m**2 - 2*m + 5. What is the remainder when k(v) is divided by 14?
11
Let j = -29 + 86. What is the remainder when 182 is divided by j?
11
Suppose -15 = -5*s + 6*p - p, 12 = 4*s - p. Suppose -s*u - 5*d + 207 = 0, -5*u - 4*d + 301 = -57. Calculate the remainder when u is divided by 285/20 - 6/(-8).
14
Suppose 0 = -t + 3*n + 17, 13 + 27 = 4*t + 2*n. Suppose -i + 305 = -41*z + 46*z, z - 80 = -4*i. Calculate the remainder when z is divided by t.
5
Let j(o) = o**2 - 2*o - 4. Let l be j(3). Calculate the remainder when -17*(0/l + -1) is divided by 5.
2
Let a(h) = -4*h + 3. Let g(p) = 8*p - 18. Let o be g(13). Suppose 12*b = 14*b - o. What is the remainder when b is divided by a(-5)?
20
Suppose -12*n - 2385 = -65*n. What is the remainder when 356 is divided by n?
41
Let w(q) = 4*q**2 + 2*q - 3. Suppose 120 = -15*s + 27*s. Calculate the remainder when w(3) is divided by s.
9
Let j(l) = 6*l - 16. Let w be j(10). Let h = w - 11. What is the remainder when 129 is divided by h?
30
Suppose -4*z + 7*n - 2*n = -361, 0 = -5*z - 3*n + 442. Calculate the remainder when z is divided by 45/2*8/6.
29
Let y = -4 + 24. Calculate the remainder when ((-2)/4)/(16/(-1824)) is divided by y.
17
Let q(l) = -5*l + 11. Let g = -51 + 89. Suppose b = 3*b - g. What is the remainder when q(-9) is divided by b?
18
Suppose 4*t - 4*a - 270 = -t, 4*a = -2*t + 136. Let r be -1*(-2 - (-1)/(-1)). Suppose r*c = t - 10. Calculate the remainder when 45 is divided by c.
13
Let u(m) = -13*m - 481. What is the remainder when u(-41) is divided by 28?
24
Let r(f) = f**3 + 8*f**2 + 3. Let k be r(-8). Calculate the remainder when 95/2 - 4/8 is divided by 14 - k/6*4.
11
Let m(t) = 2*t**2 - 3*t - 11. Let d be m(-2). Suppose -d*z + 106 = -z. Calculate the remainder when z is divided by 14.
11
Let i(b) = -4*b**2 - 21*b + 1. Let d be i(-5). Let m(y) = 7*y - 32. Calculate the remainder when 29 is divided by m(d).
9
Suppose 3*a = 35*a - 2720. Calculate the remainder when 147 is divided by a.
62
Let k(n) = 2*n - 20. Let r be k(12). Suppose -4*g + 5*z = -r + 2, -4*z = -4*g + 4. What | {
"pile_set_name": "DM Mathematics"
} |
28 - 14) in the form g*m**2 + d + a*m and give d.
-152
Express 4 - 1222*f - 4 + 1258*f in the form o*f + a and give o.
36
Express -10343*o + 18629*o - 10023*o in the form z + g*o and give g.
-1737
Rearrange (-704*h**2 + 93 - 93)*(h + 2*h - 5*h) to the form v + y*h**2 + m*h**3 + d*h and give m.
1408
Express ((-2 + 2 - 3)*(2*t**2 + 4*t**2 - 2*t**2) - 4*t**2 + 10*t**2 + t**2)*(4*t - 4*t - 1 + 2*t**2) as h*t**3 + c*t**2 + n + l*t + o*t**4 and give o.
-10
Express (-19*q - 3*q - 4*q)*(9*q - 7 + 7) in the form z*q + s + c*q**2 and give c.
-234
Rearrange -48*a**2 - 1488*a + 100*a**2 - 54*a**2 to the form w*a + z*a**2 + v and give w.
-1488
Express -3*j + 5*j - 19*j + (-2 - 2 + 2)*(-j + 2*j + j) - 2*j + j + 3*j + j + 0 + 0 as k*j + b and give k.
-18
Express -9 + 7 - 32*o**2 + 851*o - 847*o as a + f*o + x*o**2 and give f.
4
Rearrange (3*x - 3*x - x + (2 - 3*x - 2)*(7 + 22 - 1))*(x**3 + 4*x**3 - 7*x**3) to q + p*x**4 + z*x + y*x**2 + c*x**3 and give c.
0
Express -14*k**3 + 35*k**3 - 13*k**3 - 10*k**3 - 4*k**4 + 13 + k**4 as a*k**3 + p*k + z*k**2 + g*k**4 + r and give r.
13
Rearrange (15*y - 7*y - 49*y)*(-2 - y + 2)*(-3*y + 4*y - 4*y) to the form l*y + p + m*y**2 + k*y**3 and give k.
-123
Express -109*f + 106*f + 2 + 21 - 2*f**2 - 4 in the form r*f + a + m*f**2 and give a.
19
Rearrange 17*q**2 - 28*q**2 + 15 + 6*q**2 to the form j*q + a + p*q**2 and give p.
-5
Express -3*o**3 - 166*o + 163*o - 4*o**2 + 2*o**2 + 3*o**4 + 1 + 5*o**2 in the form f + s*o**4 + i*o + r*o**2 + w*o**3 and give s.
3
Rearrange 152*q**3 + 14*q - 65*q**3 + 10*q - 23*q to the form p*q + j*q**3 + k*q**2 + w and give p.
1
Rearrange 3*u**3 + 42*u - 42*u + (u**3 - 2*u**3 + 2*u**3)*(-4 + 1 + 5) - 105*u**3 + 2622*u**2 - 2622*u**2 to the form w*u**3 + p + t*u + h*u**2 and give w.
-100
Express (-j**3 + 23*j - 23*j)*(4*j + 0*j - j) + (-122 + 122 - 14*j)*(-j**3 + 0*j**3 - 2*j**3) as z*j + l*j**3 + x*j**2 + c + f*j**4 and give f.
39
Rearrange (4 - 6 + 3)*(-4*r - 73*r + 20*r) - 8*r - 2*r - r to h + i*r and give i.
-68
Express ((-3 + 6 - 5)*(-1 + 2*o + 1) - o + 2*o - 2*o - 2 + 2 + 2*o + (-71 + 71 + 22*o)*(-2 + 2 + 1))*(0 - 3 + 11)*(3 - 5 + 0) as v*o + x and give v.
-304
Rearrange 2*p**4 + 3*p**2 - 9*p**3 + 4*p**3 - p**3 - 4*p**2 - 12 + 5*p**3 to the form z*p + s*p**2 + v*p**3 + y*p**4 + i and give y.
2
Rearrange -23 - 4*i**3 - 6 - i**2 + 28 - 2*i to m*i + u*i**2 + t + f*i**3 and give m.
-2
Express 142*q + 58*q + 31*q - 31*q + q as s*q + r and give s.
201
Rearrange 5421 + 3*n**2 - 13*n**2 - 5422 to r*n**2 + v*n + x and give r.
-10
Express 22*o - 2*o**2 + 45*o - 37 + 17*o + 37 as f*o**2 + w*o + m and give m.
0
Express -3*s**2 + 44*s - 62*s + 5*s - s**2 + 2*s**2 as x + u*s**2 + i*s and give i.
-13
Express 49 + 3*v - 4 - 3 + 24 as s*v + c and give c.
66
Rearrange (25*i**2 + 7*i**2 + 48*i**2)*(-i + 5*i - 3*i) to the form n*i + g*i**3 + r + f*i**2 and give g.
80
Express 7*a**2 - 247*a - 2 + 3 + 247*a - 2*a**4 in the form y*a**3 + j + m*a + u*a**4 + c*a**2 and give c.
7
Rearrange -18*f**3 - 2*f**2 + f**2 - f**2 to the form k*f**2 + b*f**3 + s + x*f and give b.
-18
Express (-3 + 7 - 3)*(6 - 2 - 2 + (3 - 2 - 2)*(-6 - 10 + 7) - 1 - 1 - 1 + (2 - 2 - 2)*(1 - 2 - 1))*(-1 - 3*f - 3*f + 5*f) in the form t + v*f and give v.
-12
Rearrange -11*w**2 + 2*w**4 - 1 + 0*w**2 + 2*w**3 + 1429*w - 1426*w to the form f + k*w**4 + j*w + t*w**3 + c*w**2 and give f.
-1
Rearrange -2*b**2 + 0*b**2 + b**2 + (3 + 2 - 1)*(-23*b**2 + 7*b**2 - 7*b**2)*(2 - 4 + 0) to the form y*b + v + g*b**2 and give g.
183
Rearrange 10023 - 9955 + 2*w**2 - 4*w**2 to g*w + d*w**2 + f and give d.
-2
Rearrange (2 + 1 - 2)*(-1 + h + 1) + 66*h + 111*h + 141*h + (2*h - 5 + 5)*(-2 + 3 - 3) - 4*h + 3*h + 2*h to s*h + g and give s.
316
Express 2782 - 2782 - 1560*l in the form w*l + b and give w.
-1560
Express -110*u**3 + u**4 - 11*u**2 + 213*u**3 - 3*u**4 - 106*u**3 in the form j + g*u**4 + d*u**3 + s*u**2 + k*u and give g.
-2
Express -43 - 55*w**2 - 3*w - 57*w**2 + 114*w**2 as n*w**2 + v + j*w and give n.
2
Express 2*f**3 + 3*f**2 - 14*f - 2*f**2 - 7*f**3 + 5*f**4 + 6*f**3 as w*f + n*f**2 + x*f**3 + c*f**4 + b and give x.
1
Express (3*l**2 + 0*l**2 + l - 4*l**2)*(182 + 137 - 426) in the form s*l**2 + j + z*l and give s.
107
Rearrange 5*j**2 + 2*j**4 + 1 - 2*j**4 + j**4 + 52*j**3 - 2*j - 4*j**2 to d*j**2 + b*j + i + m*j**4 + h*j**3 and give i.
1
Express -11*x**3 - 13*x**3 - x + 34*x**3 - x + 88*x**4 - 2*x**2 - 12*x**3 in the form a + m*x**2 + r*x**3 + q*x + y*x**4 and give a.
0
Express -22*t + 4 - 10 + 13*t - 5 in the form k + x*t and give k.
-11
Express (-k - k + 4*k)*(-k - 2 + 2) - 11 - 8*k**2 + 11 - 6 + 8*k**2 - 9*k**2 + 2 as b*k**2 + u + w*k and give b.
-11
Express 8292*j**4 - 8302*j**4 - 3*j + 4 - 3 as w*j + h + a*j**3 + k*j**2 + i*j**4 and give i.
-10
Express 4 - 44*b + 33*b - 10*b + 5 as m*b + g and give g.
9
Express ((5 - 4 - 3)*(0 - 4 + 3) - 4 + 2 - 5)*(19 + 11*t - 19)*(0 + 3 - 2)*(-t**2 + 3*t**2 + 0*t**2) as i*t**3 + h*t**2 + r*t + g and give i.
-110
Rearrange -1217*k**2 + 1392 - 692 - 700 to the form r*k**2 + i*k + p and give r.
-1217
Express -2*y**2 + 2*y**2 - y**2 + (3*y - 5*y + 4*y)*(-2*y - 2 + 2) + 9*y + 0*y**2 - 11*y - y**2 - 15 in the form z*y**2 + o + h*y and give z.
-6
Rearrange -7*f + 8*f + 7*f + (1 - 3 - 5)*(-2*f - f + 0*f) + 3 + 2*f - 3 to the form q + c*f and give c.
31
Rearrange (170*j**2 + 147*j**3 - 170*j**2 + (j**3 + j**3 - j**3)*(-1 + 1 + 2))*(2 + 3 - 2) to a*j + o + v*j**2 + b*j**3 and give b.
447
Rearrange -1 + 0 - 6*p**2 + 3*p - p - 4*p**3 + 10*p**2 to the form x + t*p + w*p**2 + c*p**3 and give c.
-4
Express 3*w**2 - 185 + 88 + 2*w**4 - 3*w**2 + 61 - w as u*w + d*w**3 + c*w**2 + m + l*w**4 and give u.
-1
Express 181*w**2 - 13*w + w + 22*w - 8*w in the form n + g*w**2 + d*w and give g.
181
Express 85*q**2 - q**3 - 1 - 22*q**2 + 1 in the form j*q**3 + y + v*q**2 + a*q and give j.
-1
Rearrange -90*o**3 + 38*o - 2*o**4 - 14*o - 11*o - 14*o to the form p + z*o**3 + s*o**4 + i*o + y*o**2 and give s.
-2
Rearrange (-2 + 5*w - 1 + 7)*(3*w**2 - w**2 - w**2) + (4 - 2 - 3)*(-w**3 - 2*w**3 - w**3) to the form h*w + q*w**3 + f*w**2 + o and give q.
9
Express 855 - 853 + 2*o + 12*o as s*o + r and give s.
14
Rearrange 1046*j - 527672 + 527672 to the form x*j + y and give x.
1046
Rearrange 45 - 236*l**2 + 37 + 48 - 130 to j + n*l**2 + r*l and give r.
0
Express 11 + 168*v + 171*v - 1 - 339*v + 25*v**2 in the form u*v + p*v**2 + t and give t.
10
Express -59001*j + 58988*j - j**2 + 2*j**3 - 1 + 0*j**3 as s*j + p + t*j**3 + i*j**2 and give i.
-1
Express 431*x**3 + 431*x**3 - 125 + 2*x - 865*x**3 as s*x**2 + m + c*x + g*x**3 and give g.
-3
Express -1098*k - 216*k**2 + 548*k + 550*k as r + n*k**2 + g*k and give n.
-216
Express 267*o**3 + 2*o + 287*o**3 - 553*o**3 - 55*o**2 + 2*o**4 in the form q*o**2 + d + h*o + b*o**3 + r*o**4 and give r.
2
Rearrange 1266*x**2 - 4 + 4 + 826*x**2 - 510*x**2 to the form y + p*x**2 + a*x and give p.
1582
Rearrange 39*r - 55*r + 620*r to a + c*r and give c.
604
Express 280603 + 2*h**4 - 280604 - 50*h**2 - h**4 as f*h**2 + b*h + d + w*h**3 + t*h**4 and give d.
-1
Rearrange 20*j**3 - 40*j**3 + 2*j**4 + 0*j + 22*j**3 - 6*j - 4 to the form r*j**3 + k*j**2 + b*j**4 + l + n*j and give n.
-6
Express (s**2 + s - s)*(-2 + 5 - 1) + 11*s - 2*s**2 - 11*s + (-1 + 0 - 4)*(-46 + 46 + 11*s**2) as k*s + w*s**2 + j and give w.
-55
Rearrange (-9 + 11*i**2 + 11 - 48*i + 48*i)*(5*i + 29 - 29) to q*i**3 + u*i + p + h*i**2 and give q.
55
Express 0*h + 3 + 8 - 8 + 2*h**2 + 0*h as m*h + c + p*h**2 and give c.
3
Express -56 + 3*f + f**2 + 7*f + 142 - 75 in the form r*f + c + v*f**2 and give r.
10
Express 732 - 732 + 1091*o in the form v*o + m and give v.
1091
Rearrange -2 + 159*d + 88*d - 164*d to p + l*d and give l.
83
Rearrange (20 - 59 + 294)*(-13 + g**2 + 13) to the form y*g + c + b*g**2 and give b.
255
Express (-2 - k + 2)*(-482 - 132 - 154 + 20) as q*k + a and give q.
748
Express -7*v**3 - v + 3*v**2 + 44*v**4 + v - 46*v**4 - 3*v as t + a*v**2 + d*v**3 + l*v + g*v**4 and give d.
-7
Rearrange (2 - 2 - k**3)*(-13 + 55 - 171) to the form a*k**3 + o*k + i + s*k**2 and give a.
129
Express -20143*t - 6*t**2 + 10055*t - 4*t**3 + 10062*t + (-2 - 1 + 5)*(-5*t**2 + t**3 + 5*t**2) as n + q*t + o*t**3 + d*t**2 and give o.
-2
Rearrange 127*j**3 + | {
"pile_set_name": "DM Mathematics"
} |
number?
False
Is 19823575417 a composite number?
True
Is 4351563847 prime?
False
Is 52707071 a composite number?
True
Is 1614437 composite?
True
Is 3065451107 a composite number?
False
Is 22075152419 prime?
True
Is 1130217697 prime?
False
Is 622433681 composite?
True
Is 59239019963 a prime number?
True
Is 3124014515 a composite number?
True
Is 5752713479 a composite number?
False
Is 19831838245 a prime number?
False
Is 502951117 a composite number?
False
Is 252512089 a composite number?
False
Is 359618591 composite?
True
Is 20610506201 prime?
True
Is 8753371751 prime?
True
Is 344484901 prime?
True
Is 2669211547 composite?
True
Is 1971433183 prime?
True
Is 48368643251 prime?
True
Is 99261472493 a prime number?
True
Is 49197377101 composite?
False
Is 13677070853 composite?
False
Is 4603066943 a composite number?
False
Is 1231436867 composite?
False
Is 2244741845 prime?
False
Is 297590443 composite?
False
Is 4072666133 a prime number?
True
Is 314284513 a prime number?
False
Is 311807981 a prime number?
True
Is 7261306909 prime?
False
Is 6005527301 a prime number?
True
Is 195060221 a composite number?
True
Is 79061622349 prime?
False
Is 142946051 prime?
True
Is 10310024161 composite?
True
Is 1363207103 composite?
True
Is 177530413 a composite number?
False
Is 1965573901 a composite number?
False
Is 259233343 prime?
False
Is 1227066323 a composite number?
True
Is 58446318913 a composite number?
False
Is 2301045959 prime?
False
Is 44567341257 prime?
False
Is 1514051867 composite?
False
Is 11074496689 composite?
True
Is 27805321241 composite?
True
Is 292305273034 composite?
True
Is 626155043 a prime number?
True
Is 30821566649 composite?
False
Is 121574185129 a prime number?
True
Is 5921767169 a prime number?
False
Is 797032091 composite?
True
Is 842020331 prime?
True
Is 3742034759 composite?
True
Is 9932999 a composite number?
False
Is 135728473 composite?
True
Is 9189281363 a prime number?
True
Is 2353569287 a prime number?
True
Is 19745961103 a composite number?
True
Is 11384440027 composite?
False
Is 11253931463 a prime number?
True
Is 13574882203 a composite number?
False
Is 10344770879 a prime number?
True
Is 221380651991 prime?
False
Is 761917273 composite?
True
Is 2938539613 a composite number?
False
Is 527799109 a prime number?
False
Is 2302750633 a composite number?
True
Is 6114156901 prime?
True
Is 17572078529 a prime number?
True
Is 207960373 a composite number?
True
Is 1723598293 a prime number?
True
Is 9504343421 a prime number?
False
Is 193187749 a prime number?
False
Is 3024706781 prime?
True
Is 30357800131 a composite number?
True
Is 10020118391 composite?
True
Is 303886903 prime?
False
Is 162343059 composite?
True
Is 799509017 prime?
False
Is 10328607277 a composite number?
False
Is 18591680083 a composite number?
False
Is 315016787 a prime number?
True
Is 62992185791 composite?
False
Is 4203762421 composite?
True
Is 460009105 composite?
True
Is 15450203859 a composite number?
True
Is 993730187 composite?
False
Is 868231039 prime?
False
Is 1639190717 a composite number?
False
Is 901619963 a prime number?
False
Is 784858727 prime?
True
Is 10953608998 composite?
True
Is 15200262373 prime?
False
Is 396547469 a prime number?
True
Is 11270826347 prime?
False
Is 499547047 a composite number?
False
Is 2145992657 prime?
True
Is 60767746239 composite?
True
Is 41761581061 prime?
True
Is 18273458527 prime?
True
Is 10130708509 a composite number?
False
Is 144593875103 composite?
True
Is 2565574709 a composite number?
True
Is 903746099 a composite number?
False
Is 347979529 composite?
True
Is 5549487443 composite?
False
Is 64637672233 a composite number?
False
Is 13182038011 a composite number?
False
Is 22471304293 prime?
False
Is 7987299357 a prime number?
False
Is 87638588951 a prime number?
True
Is 4490046833 a prime number?
False
Is 22059852493 a composite number?
True
Is 520102579 a prime number?
False
Is 4134400103 composite?
False
Is 11331062313 a prime number?
False
Is 2281056421 a prime number?
False
Is 1089661261 a composite number?
True
Is 3243189317 composite?
False
Is 4336100141 a prime number?
True
Is 304357399 prime?
False
Is 478828313 prime?
True
Is 697317693 prime?
False
Is 57711626207 prime?
True
Is 263876581 a composite number?
False
Is 234730065607 a composite number?
False
Is 4033883899 prime?
False
Is 67220097071 composite?
True
Is 20002262093 composite?
True
Is 7132466707 a prime number?
True
Is 11654118197 a prime number?
True
Is 770652941 a composite number?
False
Is 8489788667 a composite number?
False
Is 31288153669 a composite number?
True
Is 155727029 prime?
True
Is 87524777503 prime?
False
Is 1572322589 a composite number?
False
Is 81936086 a composite number?
True
Is 1636674019 prime?
False
Is 766710139 composite?
True
Is 862480093 a prime number?
False
Is 119670781 a prime number?
True
Is 121277249921 a composite number?
True
Is 2727515617 a prime number?
True
Is 4773572203 composite?
False
Is 26497520311 composite?
False
Is 1286415407 a prime number?
True
Is 518457217 a composite number?
False
Is 11649811157 composite?
True
Is 4515737 composite?
False
Is 3306536983 composite?
False
Is 13795615363 a composite number?
False
Is 6123879691 prime?
False
Is 4706754401 prime?
True
Is 1054897741 prime?
True
Is 3886950271 a composite number?
True
Is 135925553 prime?
False
Is 2607565657 composite?
False
Is 1063629131 a prime number?
True
Is 23838636361 a composite number?
False
Is 6105681311 a prime number?
False
Is 1658625214 composite?
True
Is 3561739591 composite?
True
Is 34113018991 composite?
True
Is 63187365827 composite?
True
Is 3938702531 a prime number?
True
Is 256908521 composite?
False
Is 6088711919 a composite number?
False
Is 16761567601 composite?
True
Is 3298795229 prime?
True
Is 4781355133 a prime number?
True
Is 10701489061 prime?
True
Is 1881094913 prime?
False
Is 4393967221 composite?
True
Is 1400350747 a prime number?
True
Is 80698238 a composite number?
True
Is 635778229 composite?
True
Is 6001483717 composite?
True
Is 758205109 composite?
True
Is 5489460671 composite?
False
Is 32586485273 composite?
False
Is 1552027406 a prime number?
False
Is 24469293929 a composite number?
False
Is 156471802327 a composite number?
True
Is 23613011689 composite?
False
Is 706823483 composite?
True
Is 8293627541 composite?
False
Is 100440212047 composite?
True
Is 486303569 composite?
True
Is 647162071 composite?
False
Is 5105416405 a prime number?
False
Is 10028861477 a prime number?
False
Is 23955087643 composite?
False
Is 553116485 a composite number?
True
Is 78909881 a composite number?
True
Is 6038968409 composite?
False
Is 276245369 composite?
False
Is 31192244111 prime?
False
Is 31501097107 a composite number?
False
Is 1304762971 prime?
False
Is 985355467 a composite number?
False
Is 4642690037 composite?
False
Is 800531821 prime?
True
Is 35045933647 prime?
True
Is 357693109 prime?
True
Is 26145201659 composite?
False
Is 2288650859 prime?
False
Is 383709569 a prime number?
True
Is 7827715939 a composite number?
True
Is 485574139 prime?
False
Is 1559915921 a composite number?
False
Is 331752469 a prime number?
False
Is 4317830431 a composite number?
False
Is 490488962 a composite number?
True
Is 16553830727 a composite number?
True
Is 170604921359 a composite number?
True
Is 6757374059 composite?
True
Is 30772663 a prime number?
True
Is 5523088723 prime?
False
Is 19495151 a prime number?
False
Is 976576789 a prime number?
True
Is 67235653 a prime number?
True
Is 17757015971 a composite number?
False
Is 2748103537 a composite number?
False
Is 15339928753 composite?
True
Is 7061115947 a prime number?
True
Is 6875815783 a composite number?
True
Is 1273202569 a composite number?
False
Is 10406064189 a prime number?
False
Is 19826644651 a composite number?
True
Is 12973173602 a composite number?
True
Is 1933703841 a composite number?
True
Is 12262008673 prime?
True
Is 45058371659 prime?
False
Is 196266889769 prime?
True
Is 6013810181 prime?
True
Is 875850697 prime?
True
Is 9757108169 a prime number?
True
Is 55285396459 a composite number?
False
Is 3404720861 prime?
True
Is 8310658297 prime?
True
Is 17105082119 prime?
True
Is 5684394323 prime?
False
Is 1291102249 a composite number?
True
Is 23032729609 prime?
Fals | {
"pile_set_name": "DM Mathematics"
} |
u(l) = -1160698*l**2 - 14 + 0*l + 11*l + 1160697*l**2. Suppose 4*d - 39 = -5*s, 36 = 3*d - 2*s - s. Determine u(d).
-14
Let l(t) = t**3 - 3*t**2 - t - 1. Let z be l(5). Let s = -45 + z. Let v be (-8)/(-2) + s*2. Let x(m) = 2*m**3 + m**2 - 2*m + 3. Give x(v).
19
Suppose -29 - 519 = -4*l. Let y = l + -140. Let o(j) = j**2 + 4*j**2 + j**3 - j**2 + 3. What is o(y)?
12
Let g(w) = -37*w**2 - 3*w - 32*w**2 - 33*w**2 - 2 + 96*w**2 + 2*w. What is g(3)?
-59
Let a be ((-154)/(-66))/(14/18). Let t(o) = -3*o**2 - 3*o + 1. Let j(n) = -4*n**2 - 3*n + 2. Let g(s) = 4*j(s) - 5*t(s). Determine g(a).
3
Let z(h) = -h**3 + 3*h**2 + 8*h. Let x be z(-3). Let g(a) = -30*a - x*a - 39*a + 87*a - a**2 - 12. What is g(-10)?
8
Let s = -2 + 3. Let x(l) = 6*l - 18544*l**2 + 9*l + s + 18547*l**2. Give x(-5).
1
Let s(w) be the first derivative of -19*w**4/2 - w**3/3 + w**2/2 + w - 1. Suppose -90*q - 52 = 87 - 49. Calculate s(q).
37
Let r(x) = 2*x + 2. Let c(t) = t + 14. Let w = -83 - -137. Suppose -5*j + 1 = h + w, 5*j = -2*h - 51. Let o be c(j). Give r(o).
8
Let d(i) be the second derivative of 0 + 6*i**2 - 1/6*i**3 + 94*i. Give d(5).
7
Let j = -149 - -153. Let c(q) = 2 + 1 + 9*q + j*q**2 + 5 - 3*q**2. Determine c(-8).
0
Let k(n) = n**3 + 83*n**2 + 78*n - 322. Let a be k(-82). Let w(g) = g**2 - 17*g + 18. Determine w(a).
-48
Let m = 10 - 21. Let f = m + 5. Let d(h) be the third derivative of h**6/120 + 7*h**5/60 + h**4/4 - h**3/2 - h**2 - 6390*h - 1. Calculate d(f).
-3
Let g(a) be the first derivative of -a**4/12 - 4*a**3/3 + 53*a**2 - 195. Let x(b) be the second derivative of g(b). Give x(-7).
6
Let z(c) = -c**3 + 5*c**2 + c. Let w be 6/39 - 60/52. Let m be (-3)/w - (-23 - -14). Let y be m/32 + 37/8. Determine z(y).
5
Let k(l) be the third derivative of l**6/120 - 13*l**5/60 + 3*l**4/4 + 13*l**3/2 - 3*l**2 + 342*l + 3. Determine k(11).
-5
Let m(g) = -g**2 + 1. Let n be m(-2). Suppose 3*f + 29 = 5*r, 5*f + 5*r = 2*r - 3. Let h = f - n. Let d(u) = -u**2 + 3. Give d(h).
3
Suppose 67*q - 202 = -135*q. Let k(o) be the first derivative of 18*o**2 - 11. Calculate k(q).
36
Let d(k) = -2*k**2 + 6*k + k**2 - 7*k + 15*k - 2*k - 12. Let p = 19 - 8. Let r be d(p). Let h(g) = -7*g**3 - 2*g**2 - g. Give h(r).
6
Suppose -3*m = -2*g + 215, -2*g = -2*m - 102 - 108. Let a = -97 + g. Let n(s) = -10 + 12 + s**a + s + 0*s**2 - 9*s**2. Determine n(9).
11
Let r(l) = l - 11. Let h(d) = d**2 - 46*d - 125. Let n(k) = -h(k) - r(k). What is n(48)?
-8
Suppose 11*w + 23*w - 884 = 0. Let n(t) = t**3 - 27*t**2 + 25*t + 20. Let p be n(w). Let j(s) = -s**2 - 8*s - 18. What is j(p)?
-6
Let s(y) = -1326 + 10*y**2 + 37*y - 2*y**2 - 6*y**2 - 3*y**2 + 1142. Calculate s(30).
26
Suppose 5*a = 71 - 1. Let o(t) = 13*t - a*t + 18*t**3 - 34*t**3. What is o(-1)?
17
Suppose 119*v + 149 = 982. Let b(s) = -6*s + 10. Give b(v).
-32
Let d(k) = 5*k - 11. Let t(x) = -55*x - 2086. Let n be t(-38). Calculate d(n).
9
Let r = -730 + 736. Let g be ((-10)/r)/(280/(-504)). Let n(o) = -3*o - 3. What is n(g)?
-12
Suppose 98*y + 98*y - 208*y - 132 = 0. Let d(b) = 8*b + 71. Give d(y).
-17
Let n(r) = 20 + 3*r + 196138*r**2 - 392266*r**2 + 196130*r**2. Give n(-7).
97
Let w = 468 - 456. Let i be (-5)/((-18)/w + 2). Let d(r) = -r - 24. What is d(i)?
-14
Let s(q) = 16*q - 12. Let r(f) = 4*f**2 - 55*f + 152. Let a be r(10). Determine s(a).
20
Let u(i) be the second derivative of i**5/20 - i**4/12 - i**3/3 + i**2 - 10*i + 54. Give u(2).
2
Let l(o) = -12*o**2. Let x be 0 + 2 + (2 + -3)*0. Suppose 3*s - x*s = a, 0 = a + 3*s + 8. Let j be ((-2)/a - -1)*(-10)/20. Calculate l(j).
-12
Let g be (560/70)/(-2 - (1 + -1)). Let z(o) = -3 - 7*o - 3 - 3 - 2*o**2 + 4. What is z(g)?
-9
Let h(u) = 5*u**3 - 6*u**2 - 3*u. Let l(g) = -2*g**3 + 3*g**2 + g. Let s(b) = 3*h(b) + 8*l(b). Let r be -2 - 8*2/(-2). Give s(r).
-6
Let p(x) be the first derivative of 6 + 0*x - 3/2*x**2. Calculate p(-5).
15
Let s be 5/1 - (-5)/(-5). Suppose -8*a + 4*a = k - 11, -5 = k - s*a. Let x(w) be the second derivative of -w**3/3 - w**2/2 - 172*w + 17. Determine x(k).
-7
Let j(v) be the second derivative of v**4/12 - 7*v**3/3 - v**2/2 - 306*v. Calculate j(15).
14
Let x(b) = -3*b**3 + 3*b**3 + 5*b**2 + b**3 + 6*b. Let h = 41313 - 41318. Determine x(h).
-30
Let l(j) = -j**3 + 5*j**2 + 6*j - 2. Let w(u) = -u - 5. Let t(g) = -10*g + 2. Let v be t(1). Let m be w(v). Let n be m + (-1 + 4)/1. Determine l(n).
-2
Let x(r) = -r**2 - 14*r - 18. Suppose 444 = 3*h + 480. Calculate x(h).
6
Let d(t) = 6*t + 83. Suppose -87 = 5*f - 3*q, -5*f - q - 133 = -62. What is d(f)?
-7
Let q(s) = -16*s - 20. Let r(p) = -8*p - 11. Let z(n) = 3*q(n) - 7*r(n). Let t(m) = -m - 1. Let o(a) = 5*t(a) + z(a). Calculate o(-8).
-12
Let u(y) = 3*y**3 - 7*y**2 + 178*y - 4*y**3 - 162*y - 35. Calculate u(-9).
-17
Let q(k) = -4*k**2 + 11*k + 22. Let z be q(-7). Let i = -256 - z. Let m(t) = t**2 + 6*t + 5. Give m(i).
0
Let a(g) = 43*g**3 + 2*g**2 + 9*g + 50. Let f(k) = -45*k**3 - 2*k**2 - 10*k - 54. Let s(h) = -13*a(h) - 12*f(h). Determine s(1).
-20
Let z(u) = 4*u + 5. Let c(t) = -12*t + 91. Suppose -10*i + 7*i + 24 = 0. Let g be c(i). Calculate z(g).
-15
Let w = -491 + 327. Let c = w - -158. Let t(v) = 5*v - 5. Let a(m) = 4*m - 4. Let y(p) = 4*a(p) - 3*t(p). Calculate y(c).
-7
Let k(q) = -11246 - 11246 + 22458 - 8*q. What is k(-12)?
62
Let p(r) = 3*r + 5. Let a(t) = -2*t - 36. Let b be a(-19). Suppose -b*m = -3*x - 16 - 3, 17 = m - 4*x. Suppose 0 = -m*v + 12*v + 35. Calculate p(v).
-10
Let k(w) = 26 - 2832*w + 2831*w - 3. Suppose -5*n + n = 0. Calculate k(n).
23
Let l(d) = -d**2 + 4*d + 12. Let q(w) = w**2 - 186*w + 901. Let p be q(5). Give l(p).
-20
Let a(m) = m**2 - 16*m - 7. Let c be a(17). Let w(f) = -19 + f + 11 + c. Determine w(3).
5
Let o(g) = -2*g**2 + 69*g + 999. Let z be o(-11). Let h(v) = -34*v - 51. Calculate h(z).
17
Let p(t) = t**3 + 6*t**2 + 5*t - 5. Suppose 3*n + 6 = 0, 3*x - 29 + 6 = 4*n. Suppose -71 = x*c - 46. What is p(c)?
-5
Let d(r) = 21*r - 62*r + 32*r + 12*r + 46. Calculate d(-23).
-23
Let t = 399 + -384. Suppose 27*i + 630 = -t*i. Let g(y) = -y**3 - 15*y**2 + y + 9. Determine g(i).
-6
Let j(a) = 13*a + 327. Let s be (60/90)/((-15)/585). What is j(s)?
-11
Let m(j) = -j**2 + 16*j + 17. Let z be (1 + 6 - 8) + 18. Determine m(z).
0
Let v(f) = -f**2 - 2*f + 5. Let o be v(-3). Let m(z) = 2*z**2 - 5 - 16*z + 15*z - z**o - z**3 + 2*z**3. What is m(0)?
-5
Let q(y) be the second derivative of -y**5/20 + 5*y**4/12 + y**3/2 + 3186*y. What is q(3)?
27
Let f(g) be the third derivative of g**5/12 + g**4/24 - g**2. Suppose -4*h = 5*w - 1558 - 140, 3*h - 675 = -2*w. Let o = w - 341. Give f(o).
6
Let h(q) be the first derivative of 3*q**2 + 28*q + 3828. Give h(-5).
-2
Let q(g) = -g**2 - 89*g - 1964. Let f be q(-48). Let a(w) = -8*w + 13. What is a(f)?
-19
Let m(o) = -2*o**3 - 50*o**2 + 53*o - 16. Let i(k) = -141*k + 4063. Let n be i(29). Give m(n).
-42
Let g(q) = -4*q**2 - 218*q + 336. Let c be g(-56). Let m(p) = -7*p**2 + 7. Calculate m(c).
7
Let u = 332 - 771. Let c = u + 445. Let d(k) = -k**2 + 8*k - 9. Calculate d(c).
3
Let y(q) = -q + 32. Let z be y(-23). Suppose -49*i - 36 = -z*i. Let f(b) = -b**2 + 9*b - 4. Determine f(i).
14
Suppose 25 = 18*i - 231 - 68. Let y(b) = b**2 - 19*b + 25. What is y(i)?
7
Let n(x) be the third derivative of -x**4/8 - 89*x**3/6 + 126*x**2 - 3. Determine n(-27).
-8
Let u(c) = c**3 - 18*c**2 - 19*c - 13. Suppose -221 = -33*m + 406. What is u(m)?
-13
Let i(b) = -2*b**3 + b**2 - 2*b. Let n = -81 - -125. Let r = 46 - n. Give i(r).
-16
Suppose 6*v = -2104 - 1826. Let p = -652 - v. Let u(b) = -b**3 + 5*b - 2. What is u(p)?
-14
Suppose -5*y - 4*t = 406, y + 95 = -3*t + 16. Let b = y + 92. Let g(c) = -c + 16. Let x be g(b). Let w(r) = -r**2 + 7*r - 3. Determine w(x).
3
Let h(t) = 3*t - 2. Suppose -33 + 9 = -i. Suppose -11*a = a + i. Give h(a).
-8
Let x(c) = 65*c**3 - 2*c**2 - 15*c - 14. Let u(m) = -54*m**3 + 16*m + 14. Let k(i) = -6*u(i) - 5*x(i). What is k(7)?
-14
Let r(m) = 1. Let y(x) = -3*x + 9. Let q = 108 - 103. Let k be 4/4*(2 - 3). Let h(c) = k*y(c) + q*r(c). Give h(-3).
-13
Let w(t) be the third derivative of -t**5/60 + 17*t**4/24 - 16*t**3/3 + 1586*t**2. Calculate w(17).
-32
Suppose 0 = -5*x - 0*x + 30. Let m(z) be the second derivative of 5*z**3/6 - 13*z**2 + 523*z. What is m(x)? | {
"pile_set_name": "DM Mathematics"
} |
er when 588 is divided by 31?
30
What is the remainder when 121 is divided by 45?
31
Calculate the remainder when 1162 is divided by 71.
26
What is the remainder when 3873 is divided by 5?
3
What is the remainder when 52 is divided by 39?
13
Calculate the remainder when 1433 is divided by 290.
273
What is the remainder when 240 is divided by 111?
18
Calculate the remainder when 482 is divided by 475.
7
What is the remainder when 745 is divided by 251?
243
Calculate the remainder when 154 is divided by 59.
36
Calculate the remainder when 440 is divided by 74.
70
Calculate the remainder when 436 is divided by 25.
11
What is the remainder when 1242 is divided by 413?
3
Calculate the remainder when 10632 is divided by 217.
216
Calculate the remainder when 45 is divided by 23.
22
Calculate the remainder when 1228 is divided by 82.
80
Calculate the remainder when 23 is divided by 5.
3
Calculate the remainder when 59 is divided by 17.
8
What is the remainder when 359 is divided by 90?
89
What is the remainder when 767 is divided by 128?
127
What is the remainder when 196 is divided by 44?
20
Calculate the remainder when 16 is divided by 6.
4
Calculate the remainder when 17402 is divided by 169.
164
Calculate the remainder when 1698 is divided by 122.
112
What is the remainder when 551 is divided by 111?
107
What is the remainder when 51 is divided by 29?
22
Calculate the remainder when 390 is divided by 63.
12
Calculate the remainder when 708 is divided by 79.
76
What is the remainder when 3857 is divided by 143?
139
What is the remainder when 311 is divided by 7?
3
What is the remainder when 393 is divided by 24?
9
What is the remainder when 1304 is divided by 406?
86
What is the remainder when 622 is divided by 69?
1
What is the remainder when 1240 is divided by 527?
186
Calculate the remainder when 107 is divided by 45.
17
What is the remainder when 15716 is divided by 271?
269
Calculate the remainder when 112 is divided by 7.
0
What is the remainder when 115 is divided by 33?
16
What is the remainder when 119 is divided by 36?
11
What is the remainder when 8381 is divided by 364?
9
Calculate the remainder when 852 is divided by 14.
12
Calculate the remainder when 59 is divided by 22.
15
Calculate the remainder when 304 is divided by 157.
147
Calculate the remainder when 2853 is divided by 24.
21
What is the remainder when 161 is divided by 9?
8
What is the remainder when 102 is divided by 37?
28
Calculate the remainder when 102 is divided by 67.
35
What is the remainder when 848 is divided by 424?
0
What is the remainder when 82 is divided by 41?
0
What is the remainder when 1976 is divided by 33?
29
What is the remainder when 45 is divided by 13?
6
What is the remainder when 924 is divided by 199?
128
What is the remainder when 271 is divided by 139?
132
What is the remainder when 256 is divided by 222?
34
What is the remainder when 69 is divided by 15?
9
Calculate the remainder when 71 is divided by 19.
14
What is the remainder when 191 is divided by 8?
7
Calculate the remainder when 1642 is divided by 31.
30
What is the remainder when 1295 is divided by 203?
77
What is the remainder when 30 is divided by 7?
2
Calculate the remainder when 957 is divided by 116.
29
Calculate the remainder when 130 is divided by 54.
22
What is the remainder when 472 is divided by 24?
16
What is the remainder when 546 is divided by 25?
21
Calculate the remainder when 62283 is divided by 23.
22
What is the remainder when 109 is divided by 4?
1
Calculate the remainder when 359 is divided by 353.
6
Calculate the remainder when 795 is divided by 48.
27
What is the remainder when 228 is divided by 47?
40
Calculate the remainder when 1432 is divided by 708.
16
Calculate the remainder when 761 is divided by 199.
164
Calculate the remainder when 1007 is divided by 1005.
2
Calculate the remainder when 1014 is divided by 7.
6
Calculate the remainder when 1787 is divided by 16.
11
What is the remainder when 281 is divided by 4?
1
Calculate the remainder when 260 is divided by 36.
8
Calculate the remainder when 28982 is divided by 11.
8
What is the remainder when 86 is divided by 37?
12
What is the remainder when 31 is divided by 6?
1
What is the remainder when 113 is divided by 85?
28
What is the remainder when 62 is divided by 32?
30
Calculate the remainder when 486 is divided by 122.
120
What is the remainder when 174 is divided by 118?
56
What is the remainder when 45 is divided by 19?
7
What is the remainder when 130 is divided by 20?
10
Calculate the remainder when 965 is divided by 22.
19
Calculate the remainder when 1548 is divided by 1543.
5
Calculate the remainder when 581 is divided by 258.
65
Calculate the remainder when 276 is divided by 130.
16
Calculate the remainder when 4010 is divided by 13.
6
Calculate the remainder when 139 is divided by 74.
65
Calculate the remainder when 3606 is divided by 190.
186
Calculate the remainder when 569 is divided by 187.
8
What is the remainder when 1822 is divided by 300?
22
Calculate the remainder when 583 is divided by 96.
7
What is the remainder when 62 is divided by 37?
25
Calculate the remainder when 161 is divided by 30.
11
What is the remainder when 5115 is divided by 22?
11
What is the remainder when 8045 is divided by 2670?
35
What is the remainder when 374 is divided by 69?
29
Calculate the remainder when 1736 is divided by 5.
1
What is the remainder when 2330 is divided by 774?
8
What is the remainder when 130 is divided by 61?
8
What is the remainder when 619 is divided by 69?
67
What is the remainder when 123 is divided by 45?
33
What is the remainder when 838 is divided by 838?
0
Calculate the remainder when 30215 is divided by 67.
65
What is the remainder when 82 is divided by 21?
19
What is the remainder when 243 is divided by 61?
60
Calculate the remainder when 2488 is divided by 13.
5
What is the remainder when 5829 is divided by 830?
19
What is the remainder when 1116 is divided by 34?
28
What is the remainder when 3888 is divided by 205?
198
Calculate the remainder when 212 is divided by 101.
10
What is the remainder when 137 is divided by 43?
8
Calculate the remainder when 3203 is divided by 229.
226
What is the remainder when 35 is divided by 6?
5
What is the remainder when 12990 is divided by 16?
14
Calculate the remainder when 314 is divided by 29.
24
Calculate the remainder when 154 is divided by 6.
4
Calculate the remainder when 1129 is divided by 74.
19
What is the remainder when 969 is divided by 21?
3
What is the remainder when 1300 is divided by 425?
25
What is the remainder when 2011 is divided by 33?
31
What is the remainder when 1471 is divided by 238?
43
Calculate the remainder when 591 is divided by 9.
6
Calculate the remainder when 202 is divided by 41.
38
Calculate the remainder when 462 is divided by 459.
3
What is the remainder when 647 is divided by 162?
161
Calculate the remainder when 51 is divided by 18.
15
What is the remainder when 62 is divided by 17?
11
What is the remainder when 259 is divided by 202?
57
Calculate the remainder when 1089 is divided by 348.
45
What is the remainder when 8475 is divided by 163?
162
What is the remainder when 831 is divided by 136?
15
Calculate the remainder when 1558 is divided by 12.
10
What is the remainder when 197 is divided by 96?
5
What is the remainder when 3850 is divided by 962?
2
What is the remainder when 29 is divided by 17?
12
What is the remainder when 656 is divided by 32?
16
Calculate the remainder when 4928 is divided by 352.
0
Calculate the remainder when 1961 is divided by 198.
179
What is the remainder when 1423 is divided by 75?
73
Calculate the remainder when 4114 is divided by 4101.
13
What is the remainder when 136 is divided by 26?
6
What is the remainder when 445 is divided by 54?
13
Calculate the remainder when 2067 is divided by 9.
6
What is the remainder when 104 is divided by 3?
2
Calculate the remainder when 3821 is divided by 426.
413
Calculate the remainder when 391 is divided by 60.
31
Calculate the remainder when 602 is divided by 19.
13
What is the remainder when 70 is divided by 20?
10
What is the remainder when 394 is divided by 33?
31
Calculate the remainder when 97 is divided by 46.
5
What is the remai | {
"pile_set_name": "DM Mathematics"
} |
of -2635, -1958, -1293, -640, 1, 630, 1247?
-6*i**2 + 695*i - 3324
What is the k'th term of 10286715, 10286714, 10286711, 10286706?
-k**2 + 2*k + 10286714
What is the u'th term of -13684, -13516, -13348?
168*u - 13852
What is the q'th term of 49718, 99461, 149212, 198971, 248738, 298513, 348296?
4*q**2 + 49731*q - 17
What is the y'th term of 1789, 12910, 24031, 35152, 46273?
11121*y - 9332
What is the g'th term of -45323, -42485, -39647, -36809?
2838*g - 48161
What is the s'th term of -46589, -45896, -45203, -44510, -43817?
693*s - 47282
What is the v'th term of 6457, 28802, 66045, 118186?
7449*v**2 - 2*v - 990
What is the o'th term of -5935, -9884, -13803, -17686, -21527, -25320, -29059?
o**3 + 9*o**2 - 3983*o - 1962
What is the t'th term of 2622, 10635, 23986, 42675, 66702?
2669*t**2 + 6*t - 53
What is the u'th term of -2696623, -5393233, -8089841, -10786447?
u**2 - 2696613*u - 11
What is the o'th term of -7422128, -14844253, -22266378, -29688503, -37110628?
-7422125*o - 3
What is the h'th term of 10245, 15538, 20831?
5293*h + 4952
What is the s'th term of 583988, 1167945, 1751888, 2335811, 2919708?
-s**3 - s**2 + 583967*s + 23
What is the n'th term of -4698, -9228, -13754, -18276, -22794, -27308?
2*n**2 - 4536*n - 164
What is the q'th term of 293025, 292935, 292845?
-90*q + 293115
What is the x'th term of -11813, -11798, -11773, -11738, -11693?
5*x**2 - 11818
What is the w'th term of -2104, -3706, -5956, -9178, -13696?
-54*w**3 - 1224*w - 826
What is the m'th term of -462734, -462693, -462610, -462473, -462270, -461989, -461618?
2*m**3 + 9*m**2 - 462745
What is the a'th term of -19287, -154274, -520659, -1234140, -2410415, -4165182?
-19283*a**3 - a**2 - 3*a
What is the u'th term of 209174, 209266, 209358, 209450, 209542?
92*u + 209082
What is the n'th term of -247891, -247877, -247863, -247849?
14*n - 247905
What is the j'th term of -29273, -41202, -53131, -65060, -76989, -88918?
-11929*j - 17344
What is the p'th term of -33407, -67616, -101825?
-34209*p + 802
What is the b'th term of -154, -565, -1242, -2179, -3370?
b**3 - 139*b**2 - b - 15
What is the g'th term of 97846, 97850, 97850, 97846, 97838, 97826?
-2*g**2 + 10*g + 97838
What is the a'th term of -970, -937, -906, -877?
-a**2 + 36*a - 1005
What is the d'th term of -544071, -543568, -543065?
503*d - 544574
What is the v'th term of 157553, 161419, 165287, 169157, 173029?
v**2 + 3863*v + 153689
What is the r'th term of -39190, -76388, -113586, -150784, -187982?
-37198*r - 1992
What is the n'th term of 218, 296, 496, 878, 1502, 2428?
10*n**3 + n**2 + 5*n + 202
What is the y'th term of -470944, -470934, -470920, -470902, -470880?
2*y**2 + 4*y - 470950
What is the d'th term of -6617, -14130, -21643, -29156, -36669?
-7513*d + 896
What is the w'th term of -584630, -584644, -584658?
-14*w - 584616
What is the g'th term of -1774, -6285, -10796?
-4511*g + 2737
What is the o'th term of -4738201, -18952828, -42643877, -75811348, -118455241?
-4738211*o**2 + 6*o + 4
What is the b'th term of 11126, 9517, 6836, 3083, -1742?
-536*b**2 - b + 11663
What is the z'th term of -7159774, -7159763, -7159748, -7159729, -7159706, -7159679, -7159648?
2*z**2 + 5*z - 7159781
What is the g'th term of 166949, 333897, 500845, 667793?
166948*g + 1
What is the b'th term of -27798, -28975, -30152, -31329, -32506, -33683?
-1177*b - 26621
What is the m'th term of -589, -1150, -1625, -2014?
43*m**2 - 690*m + 58
What is the i'th term of 204404, 1635152, 5518566, 13080980, 25548728, 44148144, 70105562, 104647316?
204389*i**3 - i**2 + 28*i - 12
What is the s'th term of -10065292, -20130577, -30195862, -40261147?
-10065285*s - 7
What is the v'th term of -130082, -118309, -106536, -94763, -82990?
11773*v - 141855
What is the w'th term of 5785, 13554, 21263, 28882, 36381, 43730, 50899, 57858?
-5*w**3 + 7804*w - 2014
What is the v'th term of -9564561, -9564531, -9564499, -9564465, -9564429, -9564391?
v**2 + 27*v - 9564589
What is the s'th term of -32790, -32771, -32712, -32589, -32378, -32055, -31596?
4*s**3 - 4*s**2 + 3*s - 32793
What is the o'th term of -5576, -11559, -21526, -35477, -53412, -75331?
-1992*o**2 - 7*o - 3577
What is the v'th term of 3773, 3721, 3517, 3065, 2269, 1033?
-16*v**3 + 20*v**2 + 3769
What is the r'th term of 421558, 421828, 422098?
270*r + 421288
What is the a'th term of -3712, -13786, -30582, -54100, -84340, -121302, -164986?
-3361*a**2 + 9*a - 360
What is the d'th term of -55871, -111740, -167609?
-55869*d - 2
What is the l'th term of -163986, -327946, -491894, -655824, -819730, -983606?
l**3 - 163967*l - 20
What is the l'th term of -5531, -3386, -1241, 904, 3049, 5194?
2145*l - 7676
What is the j'th term of -339635, -339000, -338365, -337730, -337095?
635*j - 340270
What is the x'th term of -4665, -18204, -40613, -71892, -112041?
-4435*x**2 - 234*x + 4
What is the x'th term of -8982, -18240, -27498?
-9258*x + 276
What is the w'th term of 23823, 53646, 83469?
29823*w - 6000
What is the n'th term of -181398, -362895, -544388, -725877, -907362, -1088843?
2*n**2 - 181503*n + 103
What is the z'th term of 2079798, 2079814, 2079832, 2079852, 2079874, 2079898, 2079924?
z**2 + 13*z + 2079784
What is the b'th term of 22793, 45870, 68947, 92024, 115101?
23077*b - 284
What is the l'th term of 7606, 7290, 6974, 6658, 6342, 6026?
-316*l + 7922
What is the g'th term of -1323, -618, 87?
705*g - 2028
What is the v'th term of -3496, -3541, -3600, -3679, -3784, -3921, -4096, -4315?
-v**3 - v**2 - 35*v - 3459
What is the n'th term of 8978, 18526, 28080, 37640?
3*n**2 + 9539*n - 564
What is the m'th term of -116331, -118974, -121617, -124260?
-2643*m - 113688
What is the o'th term of 1147874, 1147822, 1147734, 1147610, 1147450?
-18*o**2 + 2*o + 1147890
What is the q'th term of -56820, -227260, -511304, -908952, -1420204, -2045060?
-56802*q**2 - 34*q + 16
What is the w'th term of -194421, -194788, -195155, -195522, -195889?
-367*w - 194054
What is the w'th term of 378, 685, 862, 849, 586?
-10*w**3 - 5*w**2 + 392*w + 1
What is the r'th term of -327332, -1309363, -2946084, -5237495, -8183596?
-327345*r**2 + 4*r + 9
What is the f'th term of 3546, 7169, 10884, 14733, 18758, 23001?
7*f**3 + 4*f**2 + 3562*f - 27
What is the h'th term of -570, -2324, -5260, -9384, -14702, -21220?
-h**3 - 585*h**2 + 8*h + 8
What is the f'th term of -185865, -743491, -1672869, -2973999, -4646881, -6691515?
-185876*f**2 + 2*f + 9
What is the p'th term of 946838, 1893626, 2840412, 3787196, 4733978, 5680758, 6627536?
-p**2 + 946791*p + 48
What is the u'th term of 80271, 80339, 80453, 80613, 80819, 81071, 81369?
23*u**2 - u + 80249
What is the k'th term of 41031, 81836, 122643, 163452, 204263, 245076, 285891?
k**2 + 40802*k + 228
What is the h'th term of -2618348, -2618338, -2618328, -2618318?
10*h - 2618358
What is the k'th term of 2824328, 2824235, 2824146, 2824061, 2823980, 2823903, 2823830?
2*k**2 - 99*k + 2824425
What is the l'th term of 1204, 3455, 6732, 11017, 16292, 22539, 29740?
-3*l**3 + 531*l**2 + 679*l - 3
What is the j'th term of -74456850, -74456855, -74456860?
-5*j - 74456845
What is the h'th term of -28896973, -28896975, -28896977, -28896979?
-2*h - 28896971
What is the y'th term of -7198, -14393, -21580, -28759, -35930, -43093?
4*y**2 - 7207*y + 5
What is the h'th term of -1660788, -3321575, -4982360, -6643143, -8303924?
h**2 - 1660790*h + 1
What is the l'th term of 4342024, 4342057, 4342090, 4342123, 4342156, 4342189?
33*l + 4341991
What is the u'th term of -32864639, -65729254, -98593869?
-32864615*u - 24
What is the d'th term of 6992, 4191, 1396, -1393, -4176?
3*d**2 - 2810*d + 9799
What is the p'th term of 26639966, 26639967, 26639968, 26639969, 26639970, 26639971?
p + 26639965
What is the t'th term of -9423, -8760, -7655, -6108, -4119, -1688?
221*t**2 - 9644
What is the a'th term of 3041727, 3041732, 3041735, 3041736, 3041735, 3041732, 3041727?
-a**2 + 8*a + 3041720
What is the x'th term of 6279, 50863, 172035, 408087, 797311, 1377999, 2188443, 3266935?
6382*x**3 + 2*x**2 - 96*x - 9
What is the u'th term of -319116, -319017, -318908, -318783, -318636, -318461?
u**3 - u**2 + 95*u - 319211
What is the r'th term of -8173638, -8173635, -8173632, -8173629, -8173626?
3*r - 8173641
What is the a'th term of 708229, 1416439, 2124631 | {
"pile_set_name": "DM Mathematics"
} |
be (-793)/65*2 - -24. Which is the fourth smallest value? (a) -2/7 (b) -0.085 (c) u (d) 3
d
Let x = 84 + -60. Suppose -4*p - 128 = -x. Let o be (-16)/(-40) + p/(-10). What is the third biggest value in o, 0.2, 0.3?
0.2
Let k = -75.5 - -76. Let f = 30.2 - 21.9. Which is the biggest value? (a) -1/3 (b) f (c) k
b
Suppose -l = 4*l - 4*a - 1469, a + 1 = 0. Let q = l - 296. What is the second biggest value in 2, q, -3/2?
-3/2
Let q be (0 - 0)/(6/2 + 196 + -207). Let t = 2.1 + 0.9. What is the fourth biggest value in q, 0.2, t, 1?
q
Let d = -798.416 + 798. Let p = -24.916 + 25. Let g = p - d. Which is the third smallest value? (a) 2 (b) g (c) -0.4
a
Suppose n + 4 - 8 = 0. Suppose 0 = -n*z + 3*z. Let i be z/1 - (-2 + 33/18). Which is the biggest value? (a) 3 (b) 1 (c) i (d) -5
a
Suppose -3*g = -6*g - 141. Let o = g - -84. Let y = 2946 - 2941. What is the biggest value in y, o, 0.2?
o
Suppose 2*l + 3*d - 12 = 0, -l - 2 = 4*d - 13. What is the second biggest value in l, 301, 5?
5
Let g = -8 + 9. Let k = -0.21 + 0.01. Let z be 1/(-2)*(7 + 22 - 30). Which is the biggest value? (a) k (b) z (c) -1/3 (d) g
d
Let b = 1.22354 + -0.22354. What is the smallest value in -2, b, -1, 0.17?
-2
Suppose 2*g - 5*f = -11, -g + 3*g + 4*f = 16. Let h be (275/500 - g/(-10))*1. Let s = 50 - 48. Which is the second biggest value? (a) s (b) -2 (c) h (d) 0
c
Let n = -0.22968 - -0.02968. Let p be -1 + (-2)/(12/(-21)). Which is the biggest value? (a) 3/4 (b) n (c) p
c
Let y = -9461 + 9490. Which is the third biggest value? (a) -0.4 (b) -2/15 (c) 0.3 (d) 1/2 (e) y
c
Let w = 1.672 - -0.328. What is the biggest value in 0.2, 2/11, -2/7, w?
w
Let v = 332 - 333. Which is the smallest value? (a) -2/5 (b) v (c) 53/6
b
Let x be (-146)/(-44) + 1246/(-356). Which is the second biggest value? (a) x (b) 1/4 (c) 10/9
b
Let z(u) = -u**3 - 13*u**2 - 40*u - 31. Let y be z(-3). Which is the third smallest value? (a) y (b) 3 (c) -39/2
b
Let u = 54 + -92. Let m = -0.0537 + 33.0537. Let b = u + m. What is the third smallest value in b, -4, -0.5?
-0.5
Let h = -4081 + 4081.5. Let y = 0.6 - 0.43. What is the second smallest value in y, 5, h?
h
Let x = -14179/6 + 2363. Let v = -56 - -56.1. What is the biggest value in x, v, 0.8, -4?
0.8
Let x = 0.6039 + -0.5839. What is the second biggest value in x, 0.01, 3, -3, 2?
2
Let m = 4.92481 - -0.07519. What is the second smallest value in -0.3, -2, -256, m?
-2
Let t be 5 + ((-290)/20 - -9) - -1. What is the smallest value in 4, -0.1, t, 2, 0.01?
-0.1
Let g = -199/22 - -203/22. Which is the smallest value? (a) 2 (b) 21/17 (c) g
c
Suppose 4*t - 18 = t. Suppose -t = r - 1. Let f = 452/7 - 1829/28. Which is the fourth biggest value? (a) 1/5 (b) f (c) -0.1 (d) r
d
Suppose -3*b - 2*t + t = -15, 4*t = 12. Suppose 20 = b*n + 4. Let h = 3690/13 + -284. What is the smallest value in -0.2, n, h?
-0.2
Let q = 1 - 0.1. Let v = q - -4.1. Let m = -767.9 + 768. Which is the second biggest value? (a) -3/17 (b) v (c) m (d) 0
c
Let b be -15 + (-4 - -4) + 12. Let i = -125 + 126. What is the third biggest value in b, i, -0.1?
b
Let t = 271 + -268.45. Let n = -0.45 - t. Which is the fourth biggest value? (a) 2.2 (b) 4 (c) n (d) -0.4
c
Let r = -2/523 + -1028/4707. Let p = 1/5072 - 1903/5072. Which is the second biggest value? (a) p (b) r (c) -1/3
c
Let q = 2633.36 - 2633. What is the smallest value in 1, q, 0.16?
0.16
Let w(y) = 2*y**2 + 3*y - 1. Let k be w(-2). Let m be (-2)/8 - (-3)/(-20). Let t = -806 - -804. What is the second biggest value in m, k, -3, t?
m
Let j = -1.0822 + 1.3822. Let i = -339.89 + 330. Let f = i - 0.11. What is the third smallest value in j, -4, -0.4, f?
-0.4
Let g = 847.57 - 822. Let o = g + -26. Let r = o - -1.43. Which is the fourth biggest value? (a) -0.4 (b) 4 (c) 0.02 (d) r
a
Let t(g) = g + 11. Let j be t(-7). Suppose 8*z - 12*z + j = 0. Which is the second biggest value? (a) z (b) -1 (c) 2 (d) -0.5
a
Suppose 17 = 4*n + 5*l, -5*n + 3*n = 5*l - 21. Let h = 17.24 + -58. Let i = -1.24 + h. Which is the second biggest value? (a) -3/5 (b) i (c) n
c
Let x = 763 - 759. Let t = 1 - 4. Let s = -0.48 + -0.52. Which is the biggest value? (a) x (b) s (c) t (d) 0.1
a
Let f = 34323 + -34322.9. Suppose -1 + 0 = t. Which is the third biggest value? (a) -1/2 (b) f (c) 5 (d) t
a
Let l be (-9)/(-6) + (-85)/(-10). Suppose 6 = l*s + 16. Which is the biggest value? (a) 2/9 (b) 4/19 (c) s
a
Let u = -109 + 110. Let i = -45 - u. Let b = 42 + i. What is the second smallest value in -3/8, -2/9, b?
-3/8
Let q(f) = -f**3 + 6*f**2 + 2*f - 31. Let h be q(5). What is the smallest value in h, 0, 0.345?
0
Let q be -2 + (2 - 1) + -2. Let l(o) = -89*o + 267. Let z be l(3). Suppose z = 40*h - 7*h + 66. Which is the smallest value? (a) q (b) 5/6 (c) h
a
Suppose -620*v - 2592 = 244*v. Let g = 0.07 - -3.93. What is the smallest value in g, 0, v, 11?
v
Let t = -0.0605 + 181.0605. Which is the third biggest value? (a) -2 (b) t (c) 0.5
a
Suppose v = 4*l - 6*l + 15, 5*l - 40 = -3*v. Which is the biggest value? (a) l (b) -1/3 (c) 204
c
Let t = -343/790 - -58/79. What is the smallest value in 0.5, -127, t?
-127
Let s(z) = 118*z + 10428. Let r be s(-90). What is the smallest value in 1, r, -2, 3/2, -0.5?
r
Let t = 82 + 15. Let j = -12554.3 + 12554. Which is the smallest value? (a) j (b) t (c) -2
c
Suppose 0 = 3*p + 17*z - 21*z + 14, 3*p + 17 = z. Let r be 1606/(-231) - p - (-4)/14. What is the third smallest value in r, 5, -2/7, 0.1?
0.1
Let m = 424 - 412.11. Let j = 5.89 - m. Which is the second smallest value? (a) j (b) 1 (c) -0.5
c
Let z = -2291 + 2366. Which is the third biggest value? (a) z (b) -2 (c) 0 (d) -3
b
Let r = 12.918 + -13. Let y = -1.218 + r. Which is the second smallest value? (a) y (b) -0.4 (c) 3
b
Let g = -2617 - -2614. What is the third smallest value in 4/5, 0.4, -4.4, g?
0.4
Suppose 0 = -5*s - 20, 3*s = -4*n - 5 + 1. Let x = 1025 - 546. Let r = x - 478.9. Which is the third smallest value? (a) n (b) r (c) -0.3 (d) -1
b
Let t = 20822 - 20820. Let x = 0.27 - -0.03. Which is the second biggest value? (a) -5/4 (b) t (c) x (d) 0.4
d
Let p be 6/(1 - (3 - 4)). Let n be (-1)/(-5)*(1 + p). Let w = 9850/3723 - 196/73. What is the second smallest value in w, n, -2?
w
Let h = -0.9152 - -0.864. What is the biggest value in h, 1/4, 1?
1
Let s = -247.4 + 247.1. Which is the third biggest value? (a) 1.33 (b) 4 (c) -3 (d) s (e) -1/7
e
Let x = -133997 - -2006413/15. Let w = x - -236. Let s(k) = k - 9. Let q be s(10). Which is the second smallest value? (a) q (b) -1/3 (c) w
c
Let z = 2746 - 2746.3. Suppose 7*w = -11 + 46. Which is the third smallest value? (a) -0.4 (b) 2 (c) w (d) z
b
Suppose 0 = -98*q + 103*q + 325. Let u be 20/2*(-7 - 416/q). Let n = -0.3 - -0.4. Which is the biggest value? (a) -1 (b) 1 (c) n (d) u
b
Let q = 9/13 + 33/65. Let r = 26507/14 - 13250/7. Which is the second biggest value? (a) 0.4 (b) q (c) -2/33 (d) r
d
Let n = -13.7 - -29.4. Let j = 16.5 + -0.5. Let y = j - n. Which is the third biggest value? (a) 6 (b) 0 (c) y (d) -2/11
b
Let y be (15/(-120))/(5/(-10)). Which is the second biggest value? (a) 0.18 (b) 1 (c) 2/43 (d) 4 (e) y
b
Let j be ((-4)/3 + 0)/(2/(-6)). Let b = 1/2 + -3/14. Let o = -0.7 + 0.5. What is the fourth biggest value in j, o, 0.2, b?
o
Let c = 1.3465 - 1.2865. What is the fourth biggest value in 0.4, c, -1/4, 0.106?
-1/4
Let x(t) = -2*t + 2. Let m be x(5). Let p be m/(-30) + 4/10. Let g be (-12 + 13)*((-42)/(-10) + 8/(-2)). What is the third smallest value in p, g, -1/5?
p
Let z be 0/(-4 + 0) - -47. Let k = -46 + z. Let a = -9.16 - -9. What is the third biggest value in a, 1/4, k?
a
Let p be 0 + (0 + 3 - 1). Let t be p/(-2) + 10 + -4. Let o = -77025.1 + 77024. What is the second biggest value in t, o, -0.2?
-0.2
Let a = -37.51 + 39.9. Let g = a - 1.39. What is the second biggest value in 30, g, 0?
g
Let z = 1262.7 + -1264.7. What is the fourth smallest value in z, 15, -5, 1.15?
15
Let d(o) = 7*o**3 - 3*o + 3. Suppose y - 5 = -4*y. Let i be d(y). Which is the third smallest value? (a) 1/5 (b) i (c) -0.1
b
Let r = -17 + 17.8. Let j = r - -4.2. Which is the fourth smallest value? (a) 4 (b) -0.2 (c) 1 (d) j
| {
"pile_set_name": "DM Mathematics"
} |
4.95725 - 2.16165. Let d = 19.79513 - s. Let h = 53 + d. What is h rounded to 4 decimal places?
-0.0005
Let h = 1302 - 1291.03. Let x = -15 + 4. Let y = x + h. Round y to 1 dp.
0
Let y = 1278 - 1277.9143. Let o = y - 0.087. Round o to four decimal places.
-0.0013
Suppose -644 = -9*h + 1354. Let w = -79 + h. Round w to the nearest ten.
140
Suppose 2*o = -4, -q = -6*q + 4*o - 22. Let l be 3096613/39 + 2/q. Round l to the nearest 10000.
80000
Let f = -5.49 + -87.91. Let c = 57 - -17. Let a = f + c. What is a rounded to 0 decimal places?
-19
Let d = -49499468.82 - -49499438.81999903. Let o = 30 + d. Round o to 7 decimal places.
-0.000001
Let v(g) = -3*g**2 - g + 3 + 2 + 4*g. Let f = 33 - 39. Let a be v(f). Round a to the nearest 10.
-120
Let o(p) be the second derivative of -20*p**4/3 + 13*p**3/6 - 2*p**2 - 43*p. Let m be o(-12). Round m to the nearest one thousand.
-12000
Let w = -0.0202 - -0.3692. What is w rounded to two decimal places?
0.35
Let a = 5.9 + 23.1. Let b = a - 29.071. What is b rounded to 2 decimal places?
-0.07
Suppose 0*i + 5*j = -5*i + 40, 2*i = 5*j - 19. Suppose -5*g + 301 = i*m, 2*m - m = -4*g + 238. Round g to the nearest 10.
60
Let s = 0.24 - 0.23999721. Round s to 6 dps.
0.000003
Let f = 2.53 - 2.3. Let w = -23.640594 + 23.4107. Let a = w + f. Round a to 5 decimal places.
0.00011
Let y = -160.10000706 - -160.1. Round y to five decimal places.
-0.00001
Let z be 24/(-18) + 932/6. Round z to the nearest 10.
150
Let n = -409.99975 - -410. Round n to five dps.
0.00025
Let y be 5 + 0*1/(-6) + 3665. What is y rounded to the nearest 10000?
0
Let x = 95 - 36. Let u = x + -58.981. Round u to 3 decimal places.
0.019
Let l = -1408.59 - -1417. Let o = l - -1.19. Let i = o + -8.82. What is i rounded to 1 decimal place?
0.8
Suppose g + 3*g = -4. Let v be ((-18)/4)/(g/60). Suppose -v = -n - 30. Round n to the nearest one hundred.
200
Suppose 3*s = -s + 5*y + 32, -y = 3*s - 5. Let i be ((-12500)/s)/(-2)*-3504. Round i to the nearest one million.
-7000000
Let b = 668.66602 - 0.06602. What is b rounded to the nearest 10?
670
Let n = -58 - -58.011. Let q = -8509 + 8514.189. Let r = q + n. What is r rounded to zero dps?
5
Let o = -31.7149 - -31.7. What is o rounded to three decimal places?
-0.015
Let f be (-4)/(-6)*6/(-1). Let o be 2*61526*5/f. Let k = o - -73815. Round k to the nearest 100000.
-100000
Let u = -9.9 - -63.9. Let f = u - 54.0054. Round f to 3 dps.
-0.005
Let b = 19 - 19. Suppose b*k = -4*k + 56. Let w = -34 - k. Round w to the nearest 10.
-50
Let v = 35 - 38.25. Let y = v - -3. Let h = y + 0.2528. Round h to three dps.
0.003
Let y = 16.4149974 + -16.495. Let q = -0.08 - y. Round q to 6 decimal places.
0.000003
Let x be ((-25)/2)/(6/(-3886752)). Let q = 14097400 - x. Round q to the nearest one million.
6000000
Suppose -2*a = 6, 0 = -3*b - 3*a - 0 + 6. Suppose 0 = -b*p - p - 17460000. Round p to the nearest 100000.
-2900000
Let s = -570293 + 570447.0001. Let k = 154 - s. Round k to 3 decimal places.
0
Let s be (-38270)/(-4)*8/5. Suppose 5*q - q + s = 3*h, 5*h - 25510 = 5*q. What is h rounded to the nearest one thousand?
5000
Suppose y - 19 = 1. Let d = y + -20. Suppose -4*g - 5*t - 100 = d, -g - 4*g - 4*t = 116. Round g to the nearest ten.
-20
Suppose 3*k + 23302 = 185716. Suppose p - 3*p - k = 0. Let z = p - -15769. What is z rounded to the nearest 1000?
-11000
Suppose 2*c + 3 = -4*n + 7*c, n + 4*c - 15 = 0. Suppose -4*m + 5*x = 53724 + 114691, -5*m - 210491 = n*x. What is m rounded to the nearest 10000?
-40000
Suppose 3*n - 10176 = 9*n. Let f = -486 - n. What is f rounded to the nearest one hundred?
1200
Let i = -49 + 48.99574. What is i rounded to three decimal places?
-0.004
Let d = 2 - -100. Let u = 102.265 - d. What is u rounded to 2 decimal places?
0.27
Let h(i) = 6492*i + 168. Let t be h(-4). What is t rounded to the nearest 10000?
-30000
Let d = -194.16 - -190. Let z = -4.3 - -0.3. Let k = d - z. Round k to one decimal place.
-0.2
Let l = -1047 + 1046.98043. Let k = -0.019 - l. What is k rounded to 4 decimal places?
0.0006
Let g = 160.9899 - 161. Round g to three decimal places.
-0.01
Let v = -244019644.04779923 - 1316627.95201977. Let p = -245336575 - v. Let s = 303 + p. Round s to five dps.
-0.00018
Let t(p) = 150375*p - 16. Let x be t(-6). Let r = 191377 + x. Let j = r + 1510889. What is j rounded to the nearest one million?
1000000
Let w(c) = 1753*c**2 + 66*c + 5. Let d be w(-5). Round d to the nearest ten thousand.
40000
Let d = -37 + 37.086. Let q = -0.07 + d. Let v = -0.079 + q. What is v rounded to two decimal places?
-0.06
Let l = 72.28 - 1.28. Let r = l - 70.9999961. What is r rounded to 6 dps?
0.000004
Let v = 1107 + -1106.9998917. Round v to five decimal places.
0.00011
Let l = -2.125767 - 17.677573. Let p = l - -19.8. What is p rounded to 3 decimal places?
-0.003
Let b = -9.279 + 7.6322. Let j = 1.7 + b. Round j to two dps.
0.05
Let s = 12 + 5. Let v = s - 35. Let j = v - -17.98. What is j rounded to one dp?
0
Suppose 0 = 3*k + 15, 5*f + 28 = 7*f - 4*k. Suppose -5*b = -5*g + 89999990, g + 90000002 = -b - f*b. Round b to the nearest 1000000.
-18000000
Suppose -k - 5*k + 198719676 = 0. Let h be k/(-144) + (-3)/8. What is h rounded to the nearest 100000?
-200000
Let z = 0.126 - -2.874. Let n = 2.66932085 + 0.33067385. Let d = n - z. What is d rounded to six decimal places?
-0.000005
Let l = 2198.592 + -2207. Let k = l + 0.008. Round k to the nearest integer.
-8
Let h = 12557 + -12021.9. Let a = -174 + h. Let b = 339 - a. What is b rounded to the nearest integer?
-22
Let m(c) = -196692*c**2 + 7*c + 15. Let w(s) = 196693*s**2 - 7*s - 16. Let o(i) = -2*m(i) - 3*w(i). Let d be o(11). Round d to the nearest one million.
-24000000
Let p = 1029.52 - 1016. Round p to one dp.
13.5
Let i = 1.086 + -0.93. Let x = 1.104 + i. What is x rounded to one dp?
1.3
Let g = -54 - -54.108. Let w = g + 57.892. Let k = 58.0053 - w. Round k to 3 dps.
0.005
Let m = -2.54 + 2.539999948. Round m to seven decimal places.
-0.0000001
Let n = -0.57846 + 0.9835122. Let s = n + -0.405. Round s to five decimal places.
0.00005
Let r = 125 - 519. What is r rounded to the nearest 10?
-390
Let b = -2.12 + 0.104. Let u = 0.066 + b. Let d = u + 1.94999817. What is d rounded to 7 dps?
-0.0000018
Let x = -237.73 - -238. Round x to one dp.
0.3
Let c(j) = 11*j + 68. Let w be c(-7). Let v be (2/w)/((-16)/72). Round v to one dp.
1
Let n(c) = c**2 + 4*c - 4. Let o be n(-4). Let b(g) be the first derivative of 237499*g**3/3 - 2*g**2 - 27. Let h be b(o). Round h to the nearest 1000000.
4000000
Suppose -23*s = 1922433165 - 595793165. Round s to the nearest 1000000.
-58000000
Let b = 1757 + -851. Let d = -1002 - 1044. Let c = b + d. Round c to the nearest 100.
-1100
Suppose 0 = 4*s - 6 - 14, -17 = -4*t - 5*s. Let p be t/7 - (-5)/((-210)/(-222)). Round p to 0 decimal places.
5
Let i = 1.26 + 51.74. Let t = -52.952 + i. Round t to one dp.
0
Let z = 0.081 + 243.919. Let b = z + -244.0000121. What is b rounded to 6 dps?
-0.000012
Let c = 645392732 - 645391906.999503. Let m = c + -825. What is m rounded to 4 dps?
0.0005
Let w = -59.78345 - -59.8. Let b = w - 0.018. Round b to 4 dps.
-0.0015
Let k = 0.88612 - 0.366748. Let i = -0.52 + k. What is i rounded to four dps?
-0.0006
Let k be ((-20)/(-10))/((-2)/(-3)). Suppose k*w - 5*w + 8 = 0, 4*a = -3*w + 12. What is a rounded to the nearest ten thousand?
0
Let q = -13 - 0.2. Let i = 14.4 + -11. Let o = i + q. Round o to the nearest integer.
-10
Let g(j) = -j**2 + 11*j + 4. Let v be g(11). Suppose 3*i = -v*s + 368, i + s - 121 = -0*s. Let k = i - -54. Round k to the nearest one hundred.
200
Let t = -75.02 + 73. Let a = t + 0.8. Round a to 1 decimal place.
-1.2
Let v = 221.99812 + -222. What is v rounded to four decimal places?
-0.0019
Suppose -28*n = -26*n - 140840000. Round n to the nearest one million.
70000000
Let h = -879 - -1585. Let u = h - 1008. Let o = u + 302.00000137. What is o rounded to 7 dps?
0.0000014
Let u = -193.0462 + 192.8. What is u rounded to two dps?
-0.25
Let q = -302.236 - -309.7. Round q to the nearest integer.
7
Let i = -0.916 + 38.266. Round i to 0 dps.
37
Suppose -3*y = -y - 1382. Suppose b + y = 2*b. Let h = b - 1391. Round h to the nearest one thousand.
-1000
Let j = 5.839 - 5.9. Let m = -0. | {
"pile_set_name": "DM Mathematics"
} |
is divided by 9.
6
Suppose -13 = 4*u - 89. Calculate the remainder when u is divided by 8.
3
Let d(y) = -y**2 - 10*y - 4. Let g be d(-9). Suppose -g*z = -11 + 26. Calculate the remainder when 29 is divided by 9*1 - z/3.
9
Let t(c) = -c**3 + 6*c**2 + 5*c - 4. Let d be t(6). Let a = 15 - d. Let i(p) = -3*p - 3. Calculate the remainder when i(a) is divided by 16.
14
Suppose 0*w = -2*w. Suppose w = -5*t + s - 3, -5 + 0 = -t + 3*s. Let b = t + 24. What is the remainder when b is divided by 8?
7
Suppose -3*c + 6*c + 27 = 0. What is the remainder when 9 is divided by (-14)/63 - 47/c?
4
Let a be -2*14*(-3)/12. Suppose 0 = -2*w + a*w. Suppose 3*x = -w*x + 3. What is the remainder when 2 is divided by x?
0
Suppose -n + 4*n = 123. Let o = 28 - 17. What is the remainder when n is divided by o?
8
Suppose -7 + 2 = c. Let v(r) = -r**3 - 3*r**2 + 6*r - 4. Let w = 7 - -2. Calculate the remainder when v(c) is divided by w.
7
Let v(h) = h**3 + 6*h**2 + h - 3. Calculate the remainder when 46 is divided by v(-4).
21
Let w = -84 + 119. What is the remainder when w is divided by 9?
8
Let p = -8 - -18. Suppose -g - 2 = -3*n - 0, -5*g = 5*n + p. Suppose n = r + 3 - 12. Calculate the remainder when 34 is divided by r.
7
Let y(k) = -2*k**2 - 3*k - 3. Let z be y(-5). Let n = z - -66. Calculate the remainder when n is divided by 15.
13
Let a = 12 - 8. What is the remainder when (-42)/(-8) + (-3)/12 is divided by a?
1
Suppose -j + 6 + 3 = 0. Suppose -i + j - 2 = 0. What is the remainder when i is divided by 4?
3
Let y = -2 - -3. Let k be y/6 + 263/6. Suppose 0 = -4*r + 12 + k. Calculate the remainder when 41 is divided by r.
13
Suppose 3*d = 36 + 33. Calculate the remainder when 1/1 + 0 + 88 is divided by d.
20
Suppose -40*m = -41*m + 11. Let i = -5 - -37. Calculate the remainder when i is divided by m.
10
Suppose -2*l + 4*l - 22 = 0. Let z = l + 4. What is the remainder when 482/11 + (-4)/(-22) is divided by z?
14
Suppose -x = -0*x - 5. Suppose -2*l - 1 = 3, -4*c - 2*l + 72 = 0. What is the remainder when c is divided by x?
4
Let i(b) = -b**2 - 9*b - 3. Calculate the remainder when 40 is divided by i(-6).
10
Suppose -6*u + 56 = -u - 4*b, u - b - 12 = 0. Let r = 21 - u. Suppose -2*n = -0*n - 74. Calculate the remainder when n is divided by r.
11
What is the remainder when (4 + -3)/((-3)/(-435)) is divided by 37?
34
Suppose -280 + 97 = -3*d + 4*q, -4*d + 244 = 5*q. Calculate the remainder when d is divided by 11.
6
Let q(v) = 2*v**3 + 3*v**2 - 1. Let s be q(-2). Let h(n) = -n**3 - 6*n**2 - 5*n - 5. Let r be h(s). What is the remainder when 8 is divided by (r + 1 - -1)*-1?
2
Suppose t = 4*u - 30 - 27, 0 = 3*u + 2*t - 29. Calculate the remainder when u is divided by 3.
1
Suppose 4*o - 5*i - 150 = 7, 3*o + 4*i - 110 = 0. What is the remainder when o is divided by 20?
18
Calculate the remainder when (-18)/162 + (-559)/(-9) is divided by 21.
20
Let g = -2 - -1. Let c = 11 + g. Suppose 4*w = 4*d + 88, 2*w - 2*d - 26 = w. Calculate the remainder when w is divided by c.
8
Suppose -i + 4*k + 29 = 0, 13 + 35 = 4*i + k. Let l = 43 - i. Suppose p - 7 - 1 = 0. What is the remainder when l is divided by p?
6
Let z be 2/2 + (-6)/(-1). Let l(s) = -s + 4. Let f be l(6). What is the remainder when 23 is divided by 1/(-1 - f) + z?
7
Let x(u) = u + 13. Let y(j) = j**3 - 7*j**2 + 5*j + 8. Suppose 0 = 2*o - 17 + 5. What is the remainder when x(-11) is divided by y(o)?
0
Let i(m) = 10*m - 7. Let b be i(2). Let c = b + -5. Calculate the remainder when c is divided by 5.
3
Let a = 43 + 12. Calculate the remainder when a is divided by 8.
7
Let c = 15 + 34. What is the remainder when c is divided by 13?
10
What is the remainder when 42 is divided by (333/5)/3 + 11/(-55)?
20
Suppose -10*d = -9*d - 68. What is the remainder when d is divided by 24?
20
Suppose 3*q + q = 300. Suppose 3*v - q = -2*v. What is the remainder when v is divided by 4?
3
Let s(a) = 40*a**2 + 10*a + 11. What is the remainder when 120 is divided by s(-1)?
38
Let p(d) = 41*d**3 - 1. Suppose c = -2*c, 5*c = 2*x - 2. Let i be p(x). What is the remainder when 18 is divided by (2 - -1)*i/12?
8
Suppose -27 = -4*a + 9. Calculate the remainder when a is divided by 3.
0
Let g(h) = 2*h**2 + 4*h + 1. Suppose 2*p = -a - 2, 0 = 4*a - 8*a - 5*p - 2. What is the remainder when a - (0 - 8 - 2) is divided by g(-3)?
5
Suppose 22 = -z + 3*j, 2*z + 0*z + 29 = j. Let v = z + 29. Calculate the remainder when 61 is divided by v.
13
Let a(l) = -l**2 + 6*l + 8. What is the remainder when 2 is divided by a(7)?
0
Let t(c) = 7 - c + 2*c + 3. Let o be t(-8). Calculate the remainder when (o + -3)*2*-4 is divided by 3.
2
Let b = -14 - -26. Suppose n + b = 2*j, j - 5*n + 1 = -11. Calculate the remainder when 22 is divided by j.
6
Suppose -62 = -2*a + 68. Calculate the remainder when a is divided by 23.
19
Calculate the remainder when 9 is divided by 5 + ((-2)/3)/(10/15).
1
Let q = -9 - -8. Let y(z) = 2*z**2 - 3 + 2 + 3*z**2. Calculate the remainder when 11 is divided by y(q).
3
Suppose 0 = 4*m + 4*q - 12, -3*m + 0*m + 2*q = -19. Suppose m*f + 25 = 0, -t + 2*f = 4*f - 58. What is the remainder when t is divided by 18?
14
Let c(l) = -l**2 + 13*l - 21. Calculate the remainder when 42 is divided by c(10).
6
Let y(t) = 8*t**2 + 1. Let c be y(-1). Suppose -5*o + 1 = -c. What is the remainder when 3/(30/16) - (-18)/45 is divided by o?
0
Suppose 3*c + 5*i = 23, 0*c + 3*i = -2*c + 14. Suppose 3*x = -c + 7. Calculate the remainder when 2 is divided by x.
0
Suppose 2*g - 50 = 5*i, -2*g - 5*i + 12 = 2. Calculate the remainder when 27 is divided by g.
12
What is the remainder when 12 is divided by 3 + (1 - (1 + -2) - 0)?
2
Let c = -4 - -6. Suppose 0 = x + 7 - 6. Calculate the remainder when 2*x/2 - -3 is divided by c.
0
Let l be 1/((-5)/3 + 2). Suppose -o - 4 = -l*w + 7, 5*w - 45 = -5*o. Suppose -114 = -w*z - 14. What is the remainder when z is divided by 11?
9
Let z(u) = -3*u - 13. Calculate the remainder when 39 is divided by z(-9).
11
Let i(v) = 5*v - 7. Calculate the remainder when 37 is divided by i(4).
11
What is the remainder when (-1)/(-3) + 770/21 is divided by 13?
11
Let o be ((-4)/(-12))/(2/36). Let q = o + 8. What is the remainder when 27 is divided by q?
13
Suppose -o + 5*l + 36 = 0, -2*o + 4*l = -o - 33. What is the remainder when o is divided by 8?
5
Suppose 87 = -4*o - 5*u, -4*o - 4*u - 84 = -0*o. Suppose 0 = -4*c - c + 20, 4*h + 2*c = 56. What is the remainder when (-1045)/(-45) + 4/o is divided by h?
11
Calculate the remainder when 41 is divided by 98/(-21)*(-3)/2.
6
Suppose 8*r - 157 = 11. Calculate the remainder when 2*(-2 - -1) + 64 is divided by r.
20
Calculate the remainder when 2*57/18*3 is divided by 5.
4
Let h = 35 - 12. What is the remainder when 91 is divided by h?
22
Let g be (-1 + -1)/((-4)/6). Suppose -2*i = g*i - 280. Calculate the remainder when i is divided by 19.
18
Calculate the remainder when 3 is divided by 2*(9 - 7 - 1/2).
0
Suppose 102 = -5*o + 247. Suppose -2*j + 6*j - 26 = -2*b, j - o = -2*b. Suppose -3*w + 2*w + b = 0. What is the remainder when 44 is divided by w?
14
Let p = -65 + 119. Calculate the remainder when p is divided by 14.
12
Let t(m) = 3*m**2 + m - 5. Calculate the remainder when t(4) is divided by 12.
11
Let d(o) = -o**3 + 10*o**2 - 16*o + 3. Let p = -4 - -7. Calculate the remainder when p is divided by d(8).
0
Let l(p) = -p**3 - 2*p**2 - p + 5. What is the remainder when l(-3) is divided by 9?
8
Let x(w) = w**3 + w**2 - 6. Let t be x(0). Let a(j) = j**2 - 3. What is the remainder when a(t) is divided by 17?
16
Let q(f) = -f**3 - 9*f**2 - 10*f - 7. Calculate the remainder when 44 is divided by q(-8).
8
Let l(y) = 17*y + 25. What is the remainder when l(14) is divided by 14?
11
Let k be ((-20)/8)/((-2)/100). Suppose -8 = -3*f + f. Calculate the remainder when k/f - 2/8 is divided by 11.
9
What is the remainder when 5/(-15) - (-31)/3 is divided by 4?
2
Let s be (-6)/4 + 12/8. Suppose 3*d - 3 = s, -2*p + 21 = -0*p - d. What is the remainder when 21 is divided by p?
10
Let r be 6*(15/(-6) + 3). Suppose -h + 9 = 2*n, -r*h - 46 = -3*n + 2*h. What is the remainder when 17 is divided by n?
3
Let n(o) = o**3 + 6*o**2 - 8*o - 7. Calculate the remainder when 78 is divided by n(-6).
37
Suppose 0 = 5*n - 3*p + 106, -2*n - 60 = | {
"pile_set_name": "DM Mathematics"
} |
00.
-490000
What is -1441.5107695 rounded to the nearest integer?
-1442
What is 446012.4 rounded to the nearest ten thousand?
450000
Round -30300684300 to the nearest 1000000.
-30301000000
What is 222463.782 rounded to the nearest ten thousand?
220000
What is -2014642.5681 rounded to the nearest one hundred thousand?
-2000000
Round -60.88209 to the nearest 100.
-100
What is -3065.48263 rounded to the nearest ten?
-3070
Round 0.5004138821 to five dps.
0.50041
Round 0.0324748728 to 4 decimal places.
0.0325
What is 103.6731606 rounded to 1 decimal place?
103.7
Round -0.0003063563 to 5 dps.
-0.00031
Round -10408906.2 to the nearest one million.
-10000000
What is 373415.28 rounded to the nearest one hundred thousand?
400000
Round -218651.122 to the nearest 100.
-218700
What is 0.01656149 rounded to four decimal places?
0.0166
What is 78.841603 rounded to 1 dp?
78.8
Round 0.0528073528 to 2 dps.
0.05
What is -1.53120965 rounded to four decimal places?
-1.5312
Round 5464384800 to the nearest one million.
5464000000
Round -32.48426438 to 2 decimal places.
-32.48
What is -0.0041184311 rounded to five dps?
-0.00412
What is 64394050 rounded to the nearest one million?
64000000
Round 216554209 to the nearest one million.
217000000
Round -141003639 to the nearest 1000000.
-141000000
Round 607.278491 to the nearest 10.
610
What is 2730.07763 rounded to the nearest integer?
2730
What is -1131830280 rounded to the nearest one million?
-1132000000
Round 0.001309911921 to 6 decimal places.
0.00131
What is -0.000129089311 rounded to 5 dps?
-0.00013
Round -0.000270665255 to six decimal places.
-0.000271
What is 2.46442184 rounded to three decimal places?
2.464
What is -1899915.92 rounded to the nearest 1000?
-1900000
What is -9339199.35 rounded to the nearest 100?
-9339200
What is -264480102 rounded to the nearest one million?
-264000000
Round 3043508.5 to the nearest one hundred thousand.
3000000
What is -0.00183697 rounded to five dps?
-0.00184
Round 0.00130226632 to 6 dps.
0.001302
Round -26517330.95 to the nearest one million.
-27000000
Round 789631.919 to the nearest one hundred thousand.
800000
Round 312531.4225 to the nearest 1000.
313000
What is -2247648 rounded to the nearest 1000000?
-2000000
Round -30.90968017 to one decimal place.
-30.9
Round -0.00419021328 to five dps.
-0.00419
What is -0.0000002261232 rounded to seven decimal places?
-0.0000002
Round -0.00018072925 to 6 decimal places.
-0.000181
Round 69311.41976 to zero decimal places.
69311
Round -531610434.3 to the nearest 10000.
-531610000
Round -16718.7545 to the nearest 1000.
-17000
Round -494718137 to the nearest one hundred thousand.
-494700000
What is 46528.652 rounded to the nearest 1000?
47000
Round 11.608649864 to the nearest integer.
12
Round 0.007265191 to four dps.
0.0073
Round 0.197391973 to five decimal places.
0.19739
Round 538.6879401 to two decimal places.
538.69
What is -6693787.659 rounded to the nearest 1000000?
-7000000
Round -0.00000039829723 to seven decimal places.
-0.0000004
What is 0.786916539 rounded to two dps?
0.79
Round -0.000000152074444 to seven dps.
-0.0000002
Round -0.0012154361772 to 5 decimal places.
-0.00122
Round -17251.7108 to the nearest 100.
-17300
Round -163.2610708 to the nearest 10.
-160
What is -0.0567359008 rounded to 2 dps?
-0.06
Round 1837.92031 to 1 dp.
1837.9
What is -0.0232668962 rounded to five decimal places?
-0.02327
Round -0.000009152498 to 6 decimal places.
-0.000009
What is -1.521803613 rounded to 2 decimal places?
-1.52
What is -0.00063684588 rounded to 7 dps?
-0.0006368
Round -1759.855753 to one dp.
-1759.9
Round -6294.992023 to zero dps.
-6295
Round 307.9563637 to the nearest integer.
308
Round -11.01463612 to 3 dps.
-11.015
What is -420.0622987 rounded to one decimal place?
-420.1
What is -0.000091287043 rounded to 6 dps?
-0.000091
What is -0.002422173759 rounded to 6 dps?
-0.002422
Round 5661033.861 to the nearest 10000.
5660000
Round 192.925443 to the nearest integer.
193
What is 0.0000065294614 rounded to 7 dps?
0.0000065
What is -562.01708 rounded to 1 dp?
-562
Round -26569.5503 to 0 decimal places.
-26570
What is 343965.523 rounded to the nearest 10?
343970
Round -994.773608 to the nearest 100.
-1000
What is 257.90724 rounded to the nearest one hundred?
300
Round 32525548 to the nearest 10000.
32530000
What is 862467.35 rounded to the nearest 1000?
862000
Round 542.84413 to the nearest ten.
540
What is 7.814275 rounded to one decimal place?
7.8
Round -4.07324064 to four decimal places.
-4.0732
What is -0.0007475604616 rounded to 4 decimal places?
-0.0007
Round -2514.89415 to the nearest 100.
-2500
What is -0.0000021366459 rounded to seven dps?
-0.0000021
Round -0.00051659078 to seven decimal places.
-0.0005166
What is 7104523.401 rounded to the nearest 1000000?
7000000
Round 8238390460 to the nearest 100000.
8238400000
What is 4747.5259 rounded to 0 dps?
4748
What is -638.417605 rounded to the nearest one hundred?
-600
Round -0.522353643 to 3 decimal places.
-0.522
What is 381821.417 rounded to the nearest 100?
381800
What is 0.0000117643117 rounded to seven dps?
0.0000118
Round -9945445.5 to the nearest one thousand.
-9945000
Round 189756653.3 to the nearest ten thousand.
189760000
Round 0.071136921 to two decimal places.
0.07
Round -26274.6601 to the nearest ten thousand.
-30000
Round -0.057273233 to five decimal places.
-0.05727
What is -0.00063188894 rounded to 6 decimal places?
-0.000632
Round 849152990 to the nearest one million.
849000000
Round -89514465 to the nearest 1000000.
-90000000
What is -8618549.6 rounded to the nearest 1000000?
-9000000
What is -21.28257093 rounded to 1 decimal place?
-21.3
Round 471.319023 to zero dps.
471
What is 0.0125092785 rounded to three dps?
0.013
What is -0.00001081030486 rounded to 7 dps?
-0.0000108
Round -23224586590 to the nearest one million.
-23225000000
Round 0.0025273013 to four decimal places.
0.0025
What is 0.0006437406 rounded to six decimal places?
0.000644
What is -0.01027353806 rounded to four decimal places?
-0.0103
Round -326.283217 to the nearest one hundred.
-300
What is -0.00005948461 rounded to 6 decimal places?
-0.000059
What is 2.31388546 rounded to 1 decimal place?
2.3
Round 1601271.812 to the nearest one thousand.
1601000
What is 0.0634302441 rounded to 2 dps?
0.06
What is 41339.5104 rounded to the nearest 100000?
0
What is 0.078134165 rounded to 5 decimal places?
0.07813
Round 51046.6103 to the nearest 10.
51050
What is 12.9499998 rounded to one decimal place?
12.9
Round -51063068.4 to the nearest one million.
-51000000
What is 3322447.99 rounded to the nearest 1000000?
3000000
Round 0.0000239351934 to 6 dps.
0.000024
Round 0.00000675555464 to seven dps.
0.0000068
What is 0.000593328655 rounded to 6 decimal places?
0.000593
What is 1317141.971 rounded to the nearest 1000?
1317000
What is -14.1456261 rounded to 2 dps?
-14.15
Round -18.7557505 to zero dps.
-19
What is -0.42881213 rounded to two decimal places?
-0.43
Round -214.790795 to zero decimal places.
-215
What is 0.0000836093504 rounded to 6 dps?
0.000084
What is -0.00659411383 rounded to 7 dps?
-0.0065941
What is -1115986.727 rounded to the nearest one hundred?
-1116000
What is -0.00279491306 rounded to seven decimal places?
-0.0027949
Round -290131.4695 to the nearest one thousand.
-290000
What is 4970021.14 rounded to the nearest one hundred thousand?
5000000
Round -7681.61 to the nearest 10000.
-10000
What is 0.09149385 rounded to four decimal places?
0.0915
Round -0.35359357 to four decimal places.
-0.3536
What is -0.0011480546424 rounded to 4 decimal places?
-0.0011
Round 29683.75691 to zero dps.
29684
Round 66670296.7 to the nearest 1000.
66670000
What is -9145.7776 rounded to zero dps?
-9146
Round -15669147610 to the nearest 1000000.
-15669000000
What is 21763.89644 rounded to the nearest one hundred?
21800
Round 72575.818 to the nearest one thousand.
73000
What is 2419027.621 rounded to the nearest ten thousand?
2420000
What is -153168920 rounded to the nearest 100000?
-153200000
What is -0.00004620924 rounded to four dps?
0
What is 4075337.8 rounded to the nearest ten thousand?
4080000
What is -295.296412 rounded to the nearest one hundred?
-300
Round -7580680800 to the nearest 1000000.
-758100000 | {
"pile_set_name": "DM Mathematics"
} |
3?
1
What is the thousands digit of 9659?
9
What is the hundreds digit of 1461?
4
What is the hundreds digit of 2319?
3
What is the ten thousands digit of 10780?
1
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4
What is the thousands digit of 5493?
5
What is the tens digit of 13773?
7
What is the units digit of 2524?
4
What is the tens digit of 2297?
9
What is the thousands digit of 58023?
8
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3
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2
What is the tens digit of 6263?
6
What is the tens digit of 4195?
9
What is the units digit of 6469?
9
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6
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3
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1
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6
What is the tens digit of 5178?
7
What is the thousands digit of 3410?
3
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0
What is the hundreds digit of 629?
6
What is the units digit of 4235?
5
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2
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0
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1
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3
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7
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0
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6
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5
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1
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4
What is the ten thousands digit of 12957?
1
What is the units digit of 258?
8
What is the tens digit of 8986?
8
What is the tens digit of 1309?
0
What is the units digit of 40113?
3
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5
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3
What is the units digit of 526?
6
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1
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1
What is the units digit of 85334?
4
What is the ten thousands digit of 26272?
2
What is the ten thousands digit of 12544?
1
What is the thousands digit of 21405?
1
What is the tens digit of 795?
9
What is the hundreds digit of 36785?
7
What is the hundreds digit of 8478?
4
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4
What is the hundreds digit of 14768?
7
What is the units digit of 49160?
0
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7
What is the ten thousands digit of 137728?
3
What is the hundreds digit of 17523?
5
What is the hundreds digit of 4970?
9
What is the tens digit of 139309?
0
What is the hundreds digit of 1181?
1
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2
What is the tens digit of 8305?
0
What is the units digit of 10001?
1
What is the tens digit of 3963?
6
What is the units digit of 2942?
2
What is the units digit of 50182?
2
What is the tens digit of 36154?
5
What is the units digit of 2028?
8
What is the hundreds digit of 51977?
9
What is the thousands digit of 26451?
6
What is the units digit of 657?
7
What is the tens digit of 2668?
6
What is the thousands digit of 1479?
1
What is the thousands digit of 3355?
3
What is the ten thousands digit of 56076?
5
What is the hundreds digit of 438?
4
What is the hundreds digit of 539?
5
What is the thousands digit of 140847?
0
What is the units digit of 1577?
7
What is the units digit of 742?
2
What is the hundred thousands digit of 142318?
1
What is the ten thousands digit of 28105?
2
What is the tens digit of 970?
7
What is the hundreds digit of 8679?
6
What is the hundreds digit of 2787?
7
What is the tens digit of 1467?
6
What is the thousands digit of 42353?
2
What is the units digit of 3604?
4
What is the hundreds digit of 12693?
6
What is the hundreds digit of 1163?
1
What is the units digit of 2328?
8
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0
What is the units digit of 772?
2
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2
What is the tens digit of 5530?
3
What is the hundreds digit of 987?
9
What is the thousands digit of 52950?
2
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1
What is the hundreds digit of 133288?
2
What is the units digit of 586?
6
What is the hundreds digit of 9773?
7
What is the hundreds digit of 7992?
9
What is the tens digit of 867?
6
What is the units digit of 5127?
7
What is the units digit of 4314?
4
What is the thousands digit of 1793?
1
What is the thousands digit of 4318?
4
What is the units digit of 3694?
4
What is the units digit of 3303?
3
What is the units digit of 757?
7
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3
What is the tens digit of 517?
1
What is the ten thousands digit of 45953?
4
What is the units digit of 3332?
2
What is the hundreds digit of 942?
9
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6
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0
What is the tens digit of 4064?
6
What is the thousands digit of 69101?
9
What is the thousands digit of 3021?
3
What is the thousands digit of 65157?
5
What is the units digit of 4180?
0
What is the units digit of 64863?
3
What is the thousands digit of 22081?
2
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0
What is the ten thousands digit of 51576?
5
What is the tens digit of 8341?
4
What is the thousands digit of 133414?
3
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1
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0
What is the units digit of 12075?
5
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2
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4
What is the hundreds digit of 5761?
7
What is the units digit of 2395?
5
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1
What is the hundred thousands digit of 114958?
1
What is the tens digit of 2996?
9
What is the hundreds digit of 12955?
9
What is the units digit of 4798?
8
What is the tens digit of 11070?
7
What is the ten thousands digit of 52794?
5
What is the hundreds digit of 944?
9
What is the hundreds digit of 1882?
8
What is the units digit of 45337?
7
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6
What is the tens digit of 13896?
9
What is the thousands digit of 6630?
6
What is the ten thousands digit of 11474?
1
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5
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8
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3
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8
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3
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0
What is the hundreds digit of 3004?
0
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5
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3
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3
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3
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6
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8
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3
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1
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7
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5
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8
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7
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8
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3
What is the units digit of 308?
8
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1
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2
What is the thousands digit of 7923?
7
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6
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7
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0
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5
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4
What is the hundreds digit of 38399?
3
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0
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6
What is the hundreds digit of 571?
5
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1
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1
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9
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2
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2
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4
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6
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3
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5
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9
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1
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1
What is the hundred thousands digit of 129329?
1
What is the units digit of 774?
4
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0
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9
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1
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3
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1
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2
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0
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7
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6
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9
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5
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4
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1
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1
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4
What is the ten thousands digit of 129984?
2
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1
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6
What is the tens digit of 1080?
8
What is the tens digit of 810?
1
What is the units digit of 79224?
4
What is the tens digit of 328?
2
What i | {
"pile_set_name": "DM Mathematics"
} |
) = -7*b + 6. Let l(n) = -6*a(n) - 17*s(n). Let q(j) = -8*j + 7. Calculate 6*l(m) - 5*q(m).
-2*m + 1
Let d(o) = o**2 - 6*o + 3. Let t be d(5). Let a(f) = f - 1. Let g(k) be the second derivative of 2*k**3 - 11*k**2/2 + 110*k. Give t*g(l) + 22*a(l).
-2*l
Let k(u) = u - 10. Let p(a) be the first derivative of -a - 400. Calculate -k(f) + 6*p(f).
-f + 4
Let c(t) = -t**2 - t - 2. Let h(f) = 106*f**3 + 5*f**2 + 5*f + 12. What is 5*c(u) + h(u)?
106*u**3 + 2
Let q = -20 + 22. Let f(s) = 6*s**3. Let b be -73*(-2 - -3)*-1. Suppose 0 = -5*x - 6*z + 3*z + b, -x + 18 = 4*z. Let h(r) = -r**3. Calculate q*f(c) + x*h(c).
-2*c**3
Let m(x) be the first derivative of -3*x + 1 - x**2 + 1 + 3*x**2. Let t(r) = -23*r + 17. Let z be (-1024)/(-30) - 38/5985*21. Calculate z*m(u) + 6*t(u).
-2*u
Let x(o) = -13*o + 90. Let f(y) = 3*y - 23. Calculate 23*f(z) + 6*x(z).
-9*z + 11
Suppose 5*z - 28 = 3*p, -z + 2*p + 2 = -5. Let k(n) = 2*n**2 - 4*n + 1. Let r(a) = 4*a**2 - 8*a + 3. Give z*k(t) - 2*r(t).
2*t**2 - 4*t - 1
Let z = 35 - 34. Let y(j) = j**3 - 1. Let c(f) = 8*f**3 - f - 5. Determine z*c(g) - 6*y(g).
2*g**3 - g + 1
Let i(d) be the second derivative of 1/12*d**4 - 1/6*d**3 + 0 + 15*d + 1/2*d**2. Let k(l) = -7*l**2 + 6*l - 4. Determine 5*i(q) + k(q).
-2*q**2 + q + 1
Let w(s) = s**3 - 6*s**2 - 7*s + 2. Let i be w(7). Let t(k) = i - 1 + 3 + 3*k. Let p(m) be the first derivative of 2*m**2 + 5*m - 1. What is -2*p(h) + 3*t(h)?
h + 2
Let z(x) = -x**3 - 11*x**2 + 8*x - 11. Let d(n) = n**2 + n + 1. Calculate 22*d(k) + 2*z(k).
-2*k**3 + 38*k
Let s(z) = -z**3 - 5. Let g(q) be the second derivative of q**5/20 + 3*q**2 - 139*q + 1. Suppose 0 = 2*x + x - 12. Give x*g(h) + 5*s(h).
-h**3 - 1
Let r be (-12)/24 - (-9)/(-6). Let u(m) be the first derivative of -3*m**2 - 6*m + 3. Let g(b) = b + 1. Give r*u(j) - 10*g(j).
2*j + 2
Let t(j) = 12*j. Let g(o) = -o + 1276 + 9*o - 1276. Calculate -8*g(y) + 5*t(y).
-4*y
Let p(n) = n**2 + n - 1. Let s(w) = 2*w**3 + 4*w**2 + 7*w + 6. Calculate 4*p(u) - s(u).
-2*u**3 - 3*u - 10
Let k(f) = 7 - 4 + f**2 - 7 + 4. Let o(c) = -9*c**2 + 3*c. Give -6*k(b) - o(b).
3*b**2 - 3*b
Let k(g) be the second derivative of 0*g**3 + 0 - 1/12*g**4 + 0*g**2 + 22*g. Let f(w) = w**3 + 6*w**2. What is -f(x) - 6*k(x)?
-x**3
Let f(n) = 4*n**3 - 3*n**2 - 8. Let x(r) = -4*r**3 + 4*r**2 + 10. What is -4*f(l) - 3*x(l)?
-4*l**3 + 2
Suppose -5*t = -14*t + 63. Let g(v) = 2 - 5*v + v - 3 + t. Let c(m) be the second derivative of m**3/2 - 2*m**2 + 6*m. Calculate -7*c(l) - 5*g(l).
-l - 2
Let y(p) be the third derivative of -47*p**4/24 - 219*p**2 - 2. Let n(u) = -31*u. Give -8*n(i) + 5*y(i).
13*i
Suppose -4*p = -k + 181, 0*p - 3*k = -5*p - 228. Let n(o) = -5*o. Let f(a) = -110*a. Give p*n(r) + 2*f(r).
5*r
Let o(m) = m + 1. Let l(c) = -14*c - 7. Suppose -7 = -3*f + 8. What is f*o(i) + l(i)?
-9*i - 2
Let n(x) = -x**3 + 3*x**2 + x - 1. Let t(o) be the second derivative of 5/12*o**4 - 46*o + 0 - 1/10*o**5 - 1/2*o**2 + 1/3*o**3. Determine 5*n(g) - 3*t(g).
g**3 - g - 2
Let p(j) = 5*j**3 + j**2 + 9*j. Let a(v) = v**3 - 3*v. Let m(h) = -h**3 + 7*h. Let y(b) = -2*a(b) - m(b). Determine -p(f) - 3*y(f).
-2*f**3 - f**2 - 6*f
Let n(c) = -23*c**2 - 8*c + 4. Let o(y) = -25*y**2 - 8*y + 6. Calculate 3*n(z) - 2*o(z).
-19*z**2 - 8*z
Let g(b) be the first derivative of b**3/3 + b**2/2 - 22. Let s(o) = 6*o**2 + 10*o. Suppose 0 = -2*t - 6 - 0, -2*t = -2*w - 14. Give w*g(r) + s(r).
-4*r**2
Let w be (1 + 3)/(2/(-4)). Let p be (4/8)/(2/12). Let g(r) = 51*r**2 - 143*r**2 + 43*r**2 + 50*r**2 - 3. Let k(f) = 2*f**2 - 8. Determine p*k(z) + w*g(z).
-2*z**2
Let h(x) = 5*x**2 + 5*x + 59. Let k(p) = 2*p**2 + 2*p + 22. Let a(m) = 3*h(m) - 8*k(m). Let q = -2 - -4. Let t(l) = -6*l**2 + 4. Determine q*a(b) - t(b).
4*b**2 - 2*b - 2
Let a(r) be the first derivative of -r**2/2 - 5540. Let q = 7 + -14. Let d(u) = -u**2 - 3*u. Give q*a(w) + 2*d(w).
-2*w**2 + w
Let f(x) = 2*x + 1. Let k(m) = -9*m + 10. Give 2*f(o) - k(o).
13*o - 8
Let x(q) = 3*q**2 + 2*q - 2. Suppose 3*s + 2*s + 29 = 3*l, 2*s - l = -11. Let w(d) = -1. Give s*w(z) + x(z).
3*z**2 + 2*z + 2
Let k(x) = 16 - 4*x + x + 2*x + 11*x. Let y(w) = 3*w + 5. Let a = 33 - 26. What is a*y(t) - 2*k(t)?
t + 3
Let t(g) = 5*g**2 - 2*g - 1. Let b(j) = -6*j**2 + 3*j + 1. Suppose 0*u + u + 51 = 0. Let d be (-3 - u/15)*5. What is d*b(m) + 3*t(m)?
3*m**2 - 1
Let r(s) = -s - 5 + 2*s + 2 + 4. Let k(o) = 2*o - 6. Let v(t) = -3*t + 7. Let z(a) = -5*k(a) - 4*v(a). Determine -3*r(c) + 2*z(c).
c + 1
Let y(u) = -u**2 - 53*u + 421. Let t(w) = 12*w - 105. Determine -9*t(o) - 2*y(o).
2*o**2 - 2*o + 103
Let a(q) = -1 + 14*q - 31*q + 16*q. Let r(b) = 3*b**2 - 6*b - 5. Determine 4*a(o) - r(o).
-3*o**2 + 2*o + 1
Let u(w) be the second derivative of 8*w**3/3 - 5*w**2/2 + 328*w. Let x(r) = -8*r + 3. Give 4*u(d) + 7*x(d).
8*d + 1
Let m(o) = -15*o**2 + 32*o + 194. Let f(v) = -3*v**2 + 6*v + 39. Calculate -11*f(p) + 2*m(p).
3*p**2 - 2*p - 41
Let z be (-10 + 8)/((-4)/(-12)). Let f(x) = -7*x**3 + 6*x**2 - 3*x + 2. Let m(r) = r**3 - r**2. Calculate z*m(k) - f(k).
k**3 + 3*k - 2
Let j(v) = -7*v**2 + 36*v - 4. Let i(a) = 2*a**2 + a + 2. What is -2*i(x) - j(x)?
3*x**2 - 38*x
Let g(d) be the first derivative of -2*d**2 + 3*d - 264. Let y(i) = -5*i + 2. What is 6*g(b) - 5*y(b)?
b + 8
Let p(k) = 59*k - 63*k + 7*k. Let i(r) = r - 1. Suppose 2*o = -4*t + o - 9, -2*o = -5*t - 8. Calculate t*i(q) + p(q).
q + 2
Let l(z) = -340*z - 10. Let n(v) = -339*v - 13. Give -5*l(b) + 4*n(b).
344*b - 2
Let w(y) = 5*y - 3. Suppose 17*o - 39 = 29. Let x(a) be the second derivative of -a**3/6 + a**2/2 + 4*a. What is o*x(z) + w(z)?
z + 1
Let j(x) = -137*x**2 + 6*x + 3 + 67*x**2 + 74*x**2 - 3*x - 4*x. Let r(f) = 17*f**2 - 5*f + 12. Calculate 9*j(d) - 2*r(d).
2*d**2 + d + 3
Let o(p) = -11*p**2. Let i(m) = -75*m**2. Determine 2*i(l) - 15*o(l).
15*l**2
Let g(a) = a**2 - a. Let n be 3 - ((-1)/3 - (-19)/3). Let r(s) = -4*s. Calculate n*g(b) + r(b).
-3*b**2 - b
Let n(a) = -3*a + 2. Let i(m) = 20*m - 16. Let h(x) = -2*i(x) - 14*n(x). Let c be (-4 - (-6)/2)*1. Let u(r) = 1. Calculate c*u(p) + h(p).
2*p + 3
Let b(s) = -3*s**3 + 2*s + 2. Let k(d) be the first derivative of -2 + 0*d**3 - 7*d + 5/2*d**4 - 7/2*d**2. Suppose -18 + 14 = -u. Give u*k(c) + 14*b(c).
-2*c**3
Let c(o) = -8*o**2 + 8*o + 7. Let f be (-15)/(-10) - (-5)/10. Let d(w) = -w**2 + w + 1. Determine f*c(n) - 14*d(n).
-2*n**2 + 2*n
Let y(l) = 6*l - 5. Let k(z) be the second derivative of 10*z - 3*z**2 + 0 + 7/6*z**3. Give -3*k(a) + 4*y(a).
3*a - 2
Let i be 2 + 4/(-1) + (-72 - 0). Let d = i - -79. Let b(y) = -6*y**2 - 6*y + 7. Let h(l) = -l**2 - l + 1. Determine d*h(j) - b(j).
j**2 + j - 2
Let h(y) = -4*y**2 + 7*y - 7. Let g = 1464 - 1470. Let f(k) = 3*k**2 - 6*k + 6. Determine g*f(o) - 5*h(o).
2*o**2 + o - 1
Let o(w) = -w**3 - 9*w**2 - 15*w + 20. Let g be o(-6). Let m(a) = -13*a**2 - 2*a + 2. Let c(f) = -52*f**2 - 9*f + 9. Give g*c(d) - 9*m(d).
13*d**2
Let p(d) = -29*d**2 + 3. Let z(a) = 173*a**2 - 17. What is -34*p(g) - 6*z(g)?
-52*g**2
Let i(s) = 0*s**3 + s**3 + 1 - 3. Let u(o) = o**3 - 1. Let q = -1916 + 1914. Give q*i(m) + 4*u(m).
2*m**3
Let m(t) = -6*t - 17. Let n(q) = 6*q + 1. What is m(k) + 6*n(k)?
30*k - 11
Let w(u) = -36*u**2 + 10*u - 16. Let x(i) = -10*i - 16*i - 7*i**2 - 3 + 28*i. What is -3*w(k) + 16*x(k)?
-4*k**2 + 2*k
Let o(h) = -h**2 - 1. Let k(g) = -7*g**2 + 3*g**2 - g + 2*g**2. Let p(j) = j**2 - 8*j - 1. Let v be p(8). Calculate v*k(y) + o(y).
y**2 + y - 1
Let d(i) = -i**2 - i. Suppose y = -s + 6*y + 4, 4 = -s - 3*y. Let p(h) = -7*h**2 - 6*h + 3. What is s*p(g) + 6*d(g)?
g**2 - 3
Suppose 11 = 3*s - 7. Let p(h) = h + 1. Let q(o) = o + 19. Let r be q(20). Let z(j) = 21*j - r*j + 15*j - 6. Give s*p(l) + z(l).
3*l
Let n(u) = 2*u**2 + 2*u + 2. Let s(g) = -g**3 + 3*g**2 + 3*g + 3. Let f = 8 + -11. Let k(v) = 11*v + 24. Let h be k(-2). Determine f*n(z) + h*s(z).
-2*z**3
Let r(l) = l**3 - 2*l**2 - 2*l + 3. Let a(g) = 3*g**2 - 33*g + 31. Let b be a(10). Let x(t) = -t**3 + t**2 + t - 1. Determine b*r(i) + 3*x(i).
-2*i**3 + i**2 + i
Let i(k) = 18 - 33*k - 6 - 13 - 4. Let o(l) = 8*l + 1. Determine 2*i(w) + 9*o(w).
6*w - 1
Let j(x) = -592*x**3 - 4*x**2 - 4*x. Let r(z) = -65121*z**3 - 441*z**2 - 441*z. What is -441*j(s) + 4*r(s)?
588*s**3
Let d(a) = 3938725*a - 17750. Let z(w | {
"pile_set_name": "DM Mathematics"
} |
= -1/32 - 47/32. Sort a, l, -5 in descending order.
l, a, -5
Let i(u) = -u**3 + 9*u**2 - 8*u + 2. Let z be i(8). Let y be ((-1)/2)/(z/(-16)). Suppose 0 = -2*k + 6*k - y. Put 5, -5, k in descending order.
5, k, -5
Suppose -15 = -2*y + 85. Let g = 352/7 - y. Let w = 11 + -16. Sort w, 2, g in increasing order.
w, g, 2
Suppose 1 = i + 4. Let m(u) = -u**3 + 7*u**2 - 7*u + 7. Let z be m(6). Let b = z + i. Sort -4, b, 2.
-4, b, 2
Let u(f) = 0*f + 2*f + f - 2*f. Let y be u(0). Suppose y*n = 3*n + 9. Sort -2, 5, n in increasing order.
n, -2, 5
Suppose 9 = s + 2*s + 3*z, 4*z - 8 = -2*s. Sort s, -3, 0.02.
-3, 0.02, s
Let p = -30 + 33. Sort -5, p, -3, 0 in descending order.
p, 0, -3, -5
Let r = -34 + 23. Let w = r - -18. Sort -1/3, 2/15, w.
-1/3, 2/15, w
Let z(d) = d**2 - 17*d. Let o be z(17). Let w(t) = -t**2 + 5*t - 1. Let l be w(4). Put o, 2, l in descending order.
l, 2, o
Let m = 6 - 8. Let v be 0 - ((-6)/3 + 7). Put m, 1, v in decreasing order.
1, m, v
Suppose 42*r - 38*r = -148. Sort r, 3/5, 2 in descending order.
2, 3/5, r
Let x = 0 + 0. Put x, -9, 3 in descending order.
3, x, -9
Let p = 113 - 102. Put p, -1, -1/8, 0 in ascending order.
-1, -1/8, 0, p
Let f = -203 + 203. Put f, 9, 1/5 in descending order.
9, 1/5, f
Suppose -2*r - 4*j = 8, 3*j = -3*r - 2*r + 8. Suppose -h + r = 3*l, -3*h = -5*h + 3*l - 1. Put h, -11, -2 in ascending order.
-11, -2, h
Suppose 0 = 3*i + 4*l - 22, -3*l = i - l - 10. Suppose -i*j = -0*j + 22. Let q = j - -7. Put -1, -2/7, q in descending order.
-2/7, -1, q
Let s = 0 + 2. Sort s, -0.2, 2/9 in ascending order.
-0.2, 2/9, s
Let t = -17 + 21. Put -4, t, 0, -2 in increasing order.
-4, -2, 0, t
Suppose -29*h = -33*h. Sort -5, h, 6, 1 in increasing order.
-5, h, 1, 6
Let l = 84 + -141. Put l, 4, -4 in ascending order.
l, -4, 4
Let d(h) = -6 - 9 + 1 + 5 - h. Let g be d(-4). Sort -3, -2/7, g in increasing order.
g, -3, -2/7
Let z = 6 - 8. Let w be 0 + (-24)/10 - -2. Put 2, w, z in decreasing order.
2, w, z
Suppose -4 = -4*z - 12, 0 = 4*c + 3*z + 34. Sort -0.4, c, 1/3 in ascending order.
c, -0.4, 1/3
Suppose 0 = 4*r + 4*n - 3*n + 6, -3*r = -5*n + 16. Put 1, r, 0.4 in increasing order.
r, 0.4, 1
Let z = -71 - -69. Sort 1, -5, -0.06, z in descending order.
1, -0.06, z, -5
Suppose -8 = 9*u - 7*u. Put -2, -5, u in increasing order.
-5, u, -2
Suppose -5*d + 4*w = 22, -3*d + 3*w - 12 = -0*w. Let k = 9 + d. Sort 4, -6, k in increasing order.
-6, k, 4
Let y = -5.5 + 6. Let c be 3 + (-51)/9 - -2. Put 0.04, y, c in decreasing order.
y, 0.04, c
Let a = -67 - -403/6. Sort -0.2, -5, -1/4, a.
-5, -1/4, -0.2, a
Let u(j) = j**3 - j**2 - 4. Let q be u(0). Let w = -2.5 + 2. Sort w, q, 4 in increasing order.
q, w, 4
Suppose -4 = 5*l - 5*p + 11, -6 = -3*l - 2*p. Suppose 2*j = 3*u - 21, l = 4*u + 2*j - 20 + 6. Put 0, 2, u in increasing order.
0, 2, u
Let z(s) = -s**2 - 8*s + 2. Let w be z(9). Let l = w + 82. Let c = -757/11 - l. Put -1/3, c, -0.2 in ascending order.
-1/3, -0.2, c
Let o(l) be the third derivative of -l**5/60 - 5*l**4/24 + l**3 + l**2. Let c be o(-6). Suppose c = 2*p - p. Put p, -2/21, -4 in ascending order.
-4, -2/21, p
Let y be (0 - 1)/(2/(-6)). Suppose -4*m - 3 = -y*r, -4*r + 3*r = 4*m - 1. Let v = -2 + 0. Put v, m, 1 in increasing order.
v, m, 1
Suppose 0 = -2*d + 4*z + 14, -2*d - z = 3*d + 20. Let g = 2 + d. Sort 0, -2, g in ascending order.
-2, g, 0
Suppose 5*w + 5*o = 10, 2*w - 6 = -2*w - 2*o. Let c(t) = t**3 + 4*t**2 - 1. Let n be c(-4). Put 5, n, w in descending order.
5, w, n
Let m be (-266)/228 + 2/12. Put -4, 4, -2, m in descending order.
4, m, -2, -4
Suppose 0 = 4*q - 5*x - 22, 4*q + 3*x = 8 - 2. Let o = 1/185 + 177/1480. Sort o, q, 4.
o, q, 4
Let g be 7 - ((-1)/1 - -3). Let r = g + -8. Sort 5, r, -1 in decreasing order.
5, -1, r
Let j = -82 - -79. Put -2, 0, j, 4 in increasing order.
j, -2, 0, 4
Let c = -194.8 + 178. Let h = c + 19. Let t = h - 2. Sort -4, -1/4, t in descending order.
t, -1/4, -4
Suppose -5*w = 0, 3*t - 2*w + 3 = -6*w. Sort t, -2/7, 0.13 in descending order.
0.13, -2/7, t
Suppose 2*z + w - 1 = -2*w, 2*z + w - 3 = 0. Suppose 14 = -2*r - z*f - 0*f, 4*r = -f - 13. Sort -5, r, 1.
-5, r, 1
Let y(d) = d**3 + 8*d**2 - d - 9. Let b be y(-8). Let f = 21.7 + -22. Put 0.3, b, f in descending order.
0.3, f, b
Let i = -22 - -15. Let s = 24 + -12. Let u = i + s. Sort 4, -1, u in descending order.
u, 4, -1
Let f be (-30)/(-20)*(-16)/(-6). Suppose -5*k - 12 = -2*y, -f*k - 7 = y - 0*k. Sort 4, y, 2 in ascending order.
y, 2, 4
Let b(r) = r**2 - 6*r + 4. Let v be b(6). Let a(d) = d**2 + 10*d + 19. Let w be a(-8). Sort 1, v, w in ascending order.
1, w, v
Let u = 5 - 5. Suppose u*q = 4*q - 4. Suppose -5*l - 3 = -4*c, 3*c = -3*l - 2 - 16. Put 4, q, l in decreasing order.
4, q, l
Let w = 4231/4 - 23687/20. Let z = w + 127. Sort z, 4/5, 0.2 in increasing order.
0.2, z, 4/5
Suppose -4*u - 12 = -0*u. Let r be (4/(-6))/((-20)/90). Sort -4, r, u in ascending order.
-4, u, r
Suppose -5*v = 18 + 2. Let j(r) = -r**2 - 3*r - 5. Let w be j(-3). Sort w, v, 0 in decreasing order.
0, v, w
Suppose 4 = -4*h - 0. Let k be (-3 - h)/(2/(-4)). Let a be 28/(-15) - (-4)/(-30). Sort k, a, 0.
a, 0, k
Let l = -3.035 - 0.065. Let q = -2.1 - l. Put 2/7, q, -0.01 in increasing order.
-0.01, 2/7, q
Let m = 29 - 36. Let l = m + 2. Sort 3, 5, l in descending order.
5, 3, l
Let h = -44 - -95. Let m = h - 105/2. Sort 1/4, -6, m in ascending order.
-6, m, 1/4
Let a = -13 + 28. Suppose -6*z + a = -z. Put -1, z, -3 in decreasing order.
z, -1, -3
Suppose -5*w + 1 = -4*i + 14, 5*i + 2*w = -25. Suppose 4*u + 1 = 5. Sort u, i, -2.
i, -2, u
Let z = -3 - -2.8. Suppose 4*j - 14*b = -15*b + 19, -2 = 2*b. Sort j, z, -0.4 in ascending order.
-0.4, z, j
Suppose -2*t = -3*t - 3. Let o be (3 + -1 + -1)*12. Suppose -2*j + o = 2*b, -3*j = -3*b + 2*j - 6. Sort b, t, 5 in increasing order.
t, b, 5
Let s = 13 - 17. Put -5, s, 0 in ascending order.
-5, s, 0
Let h(b) = -25*b**3 + b**2. Let t be h(-1). Let u = 11 - 7. Suppose -u*o - 6 = -t. Sort -2, -5, o.
-5, -2, o
Suppose -3*x = 2*s - 7, 6 - 2 = -s + x. Sort 1, -2, s in descending order.
1, s, -2
Let c be 54/24*(-16)/6. Let m be (-2)/(-7)*c/6. Let d = 1816/9 + -202. Put d, m, 2/9 in descending order.
2/9, d, m
Let h = 40.4 + -40. Let i(o) = -o**2 + 8*o - 9. Let l be i(7). Put -5, l, h in decreasing order.
h, l, -5
Let r = 3.7 + -2.1. Let t = -2 + r. Let l = -11 - -13. Put t, 0.4, l in ascending order.
t, 0.4, l
Suppose -6*q - 4 = -2*q. Let u be -6 + 9 + (0 - 1). Put u, -5, q in descending order.
u, q, -5
Let y = -2 - -2. Suppose -4*h + 12 = -y*h. Sort -1, 5, h in increasing order.
-1, h, 5
Let n(l) = 2*l + 16. Let t be n(-10). Sort 1/9, t, 0.
t, 0, 1/9
Suppose 2*s = -2*t + 4, -2*t = -4*s - 0*s - 4. Let l = -1 - s. Let r(y) = 3*y - 1. Let z be r(2). Sort z, 2, l in increasing order.
l, 2, z
Let w = -2 - -6. Suppose 0 = -2*b + 3*b + 10. Let q be (-2)/2 - 14/b. Sort w, -2/17, q in descending order.
w, q, -2/17
Let j(w) = -w**2 - w - 4. Let u be j(0). Let k be 2/(-4) + 18/12. Let x(n) = 4*n**2 + 1. Let b be x(k). Sort b, -5, u in descending order.
b, u, -5
Suppose o = -4*o + 60. Suppose 6*r = 3*r - o. Suppose k - 20 = -3*k. Sort -3, k, r.
r, -3, k
Let j = -1 - -1. Suppose -4*a - 17 = a + 3*g, -2*a - 3*g - 5 = j. Let x(s) = s**2 - 2*s + 2. Let z be x(3). Put a, z, -3 in descending order.
z, -3, a
Suppose 0*z = 2*z. Let q be 7 + (z - 1/1). Let t(y) = -y + 4. Let m be t(q). Sort m, -4, 0 in decreasing order.
0, m, -4
Let d = 19 - 19. Put 1, d, -2 in increasing order.
-2, d, 1
Let h(x) be the second derivative of -x**3/6 - 3*x**2 - 5*x. Let m be h(-4). Suppose 2 = -3*s - 1. Sort s, m, 3 in decreasing order.
3, s, m
Let n = 45 + -42. Put -3, 5, 6, n in decreasing order.
6, 5, n, -3
Let a = -44 + 44.46. Let w = 0.16 - a. Put 4/9, -0.2, w in ascending order.
w, -0.2, 4/9
Let o = 5.3 + -6. Let s = 1.1 + o. Sort 4, s, -2/7.
-2/7, s, 4
Let y be (-50)/14 + (-6)/14. Sort 3, y, -3 in increasing order.
y, -3, 3
Let c be (3 - 1)*(7 + -19 - -8). Sort -1, c, 5.
c, -1, 5
Let l be (4/5)/((-18)/(-10)). Let m = 141 + -141.2. Sort m, 1, l in decreasing order.
1, l, m
Let k = 4.89 - -0.11. Let m = 9 - k. Let a = -3.5 + 0.5. Sort m, -4, a.
-4, a, m
Let q = 10.8 + -11. Let v be -3 - 0*3/6. Let d be -4*(v + 34/12). Put -2, q, d in increasing order.
-2, q | {
"pile_set_name": "DM Mathematics"
} |
, 3/49, 1, 5, 130
What is l in l**3/6 + 5981*l**2/3 + 1851076*l/3 - 3726080/3 = 0?
-11644, -320, 2
Factor -5*p**2 + 3029930*p + 3029935.
-5*(p - 605987)*(p + 1)
Suppose -5*x**4 + 404520*x**3 - 8183843690*x**2 + 81793541280*x + 89977789495 = 0. Calculate x.
-1, 11, 40447
Factor -n**2 + 35638*n - 1886005.
-(n - 35585)*(n - 53)
Find w such that -37249*w**4/7 + 507590*w**3/7 - 1631953*w**2/7 - 94680*w - 9072 = 0.
-36/193, 7
Factor -3*y**3 + 5727642*y**2 + 22910616*y.
-3*y*(y - 1909218)*(y + 4)
Let 5*w**3 - 680*w**2 - 47920*w - 180480 = 0. Calculate w.
-48, -4, 188
Determine h, given that 2*h**2 - 636300*h - 24818742 = 0.
-39, 318189
Solve 186*f**3/7 - 193680*f**2/7 - 1167102*f/7 - 250452 = 0 for f.
-3, 32466/31
Determine w so that 2*w**4/7 + 150*w**3/7 + 866*w**2/7 - 72078*w/7 + 71060/7 = 0.
-55, -38, 1, 17
Factor 2*j**2/5 + 13237772*j/5 - 13237782.
2*(j - 5)*(j + 6618891)/5
Suppose -3*p**3 - 15480*p**2 + 186096*p - 496512 = 0. Calculate p.
-5172, 4, 8
Determine o, given that -2*o**4 - 28*o**3 + 9576*o**2 - 55652*o - 65254 = 0.
-79, -1, 7, 59
Factor -4*g**2 - 138120296*g - 1192326010445476.
-4*(g + 17265037)**2
Suppose -2*f**5/7 - 1038*f**4 - 9314250*f**3/7 - 4759509494*f**2/7 - 708022286988*f/7 = 0. Calculate f.
-1129, -246, 0
Let -5*p**5 - 13035*p**4 + 154837370*p**3 - 315126795680*p**2 + 193922832268800*p + 194238113914880 = 0. Calculate p.
-7742, -1, 1712
Solve 15*p**4 + 350937*p**3 + 1333377*p**2 + 771927*p - 210528 = 0.
-23392, -3, -1, 1/5
Factor -2*l**2 - 5298452*l + 15895374.
-2*(l - 3)*(l + 2649229)
Suppose 3*g**4 - 105540*g**3 + 24639675*g**2 - 120560250*g = 0. What is g?
0, 5, 230, 34945
Suppose 2*i**2/7 + 468375062*i/7 - 468375064/7 = 0. What is i?
-234187532, 1
Factor t**4 - 6203*t**3 - 43487*t**2 + 105579*t - 55890.
(t - 6210)*(t - 1)**2*(t + 9)
Let 2*c**2/3 - 2587004*c + 2509721136006 = 0. Calculate c.
1940253
Factor -15041907*t**2/5 - 15041909*t/5 - 2/5.
-(t + 1)*(15041907*t + 2)/5
Solve -r**2/2 + 481286*r - 10588171/2 = 0 for r.
11, 962561
Determine o so that -o**3/2 - 1215939*o**2/2 + 14591484*o - 87549336 = 0.
-1215963, 12
Suppose -b**5/5 + 43427*b**4/5 - 2602857*b**3/5 + 36301581*b**2/5 - 147534534*b/5 = 0. Calculate b.
0, 9, 42, 43367
Suppose 2*y**2/7 - 14738*y/7 + 1739760/7 = 0. Calculate y.
120, 7249
Factor -7761*a**2 - 217168296*a + 167892.
-3*(a + 27982)*(2587*a - 2)
Factor 4*p**2 - 59368*p + 18019680.
4*(p - 14532)*(p - 310)
Factor 115*d**3/7 + 1591*d**2/7 + 5254*d/7 - 912/7.
(d + 6)*(d + 8)*(115*d - 19)/7
Find j, given that j**3 - 643*j**2 + 31270*j = 0.
0, 53, 590
Find s such that -75*s**2/8 + 83096415*s/2 - 92066855811363/2 = 0.
11079522/5
Factor -3*n**2/8 + 47877*n/8 - 525921/4.
-3*(n - 15937)*(n - 22)/8
Find b, given that -4*b**5 - 23212*b**4 - 531844*b**3 - 485428*b**2 + 531848*b + 508640 = 0.
-5780, -22, -1, 1
Let -5*s**2 - 11303260*s - 6388184331380 = 0. Calculate s.
-1130326
Find n, given that n**4/7 - 3522*n**3/7 + 354843*n**2 + 1109389252*n/7 + 52100873028/7 = 0.
-262, -54, 1919
Factor 5*m**2 - 26290625*m + 52581230.
5*(m - 5258123)*(m - 2)
Suppose 2*r**2 - 37910*r + 10347612 = 0. Calculate r.
277, 18678
Factor -2*t**2 + 33652*t + 8122464.
-2*(t - 17064)*(t + 238)
Factor -2*n**2 - 63902*n + 14284812.
-2*(n - 222)*(n + 32173)
Solve -2*f**2 + 478700*f - 5265458 = 0.
11, 239339
Solve -o**5/5 + 326*o**4/5 + 83084*o**3/5 - 691224*o**2/5 - 342432*o = 0.
-174, -2, 0, 10, 492
Find c, given that 4*c**5 - 5368*c**4 - 27016*c**3 + 102112*c**2 + 350820*c - 808200 = 0.
-5, 2, 3, 1347
Factor 3*f**3 - 59746176*f**2.
3*f**2*(f - 19915392)
Suppose -430016*n**4 + 7095296*n**3/11 - 2660772*n**2/11 + 295654*n/11 - 2/11 = 0. Calculate n.
1/147818, 1/4, 1
Factor n**4/3 + 4271402*n**3/3 + 4561346901661*n**2/3 + 91223093807420*n + 1368327186072300.
(n + 30)**2*(n + 2135671)**2/3
Solve -l**4/3 - 81*l**3 - 3709*l**2/3 - 5859*l - 22246/3 = 0.
-227, -7, -2
Solve -5*u**2 - 2352518880*u - 276717254037822720 = 0.
-235251888
Suppose w**4 - 154078*w**3 + 1232576*w**2 - 2465120*w = 0. What is w?
0, 4, 154070
Let g**4/5 + 3521*g**3 + 76784156*g**2/5 - 6172264204*g/5 + 17825259792/5 = 0. Calculate g.
-8842, 3, 76
Factor r**4/3 + 3380*r**3 + 20248004*r**2/3.
r**2*(r + 2734)*(r + 7406)/3
Factor 5*f**3 - 5530*f**2 - 499385*f - 493850.
5*(f - 1190)*(f + 1)*(f + 83)
Let 10*y**4 - 24846*y**3 + 3199580*y**2 - 33669312*y - 13981248 = 0. What is y?
-2/5, 12, 124, 2349
Factor -2*u**2 + 2060*u + 446752.
-2*(u - 1214)*(u + 184)
Determine l so that 4*l**2 + 108168*l + 4104608 = 0.
-27004, -38
Let -2*k**3 - 672*k**2 + 270662*k - 538620 = 0. Calculate k.
-573, 2, 235
Let -6*w**5/5 + 12258*w**4/5 + 7210038*w**3/5 - 18594259002*w**2/5 + 406391631888*w/5 - 2230177675176/5 = 0. Calculate w.
-1191, 11, 1606
Find p such that -70*p**2 + 29275*p - 150745 = 0.
73/14, 413
What is w in w**5/3 + 53*w**4 + 8542*w**3/3 + 55564*w**2 + 639160*w/3 = 0?
-58, -38, -5, 0
Suppose 2*x**2 + 2532290*x + 63306000 = 0. Calculate x.
-1266120, -25
Solve -2*p**4/13 + 7694*p**3/13 - 84462*p**2/13 + 268570*p/13 - 191800/13 = 0 for p.
1, 5, 3836
Factor 4*k**2/7 + 93086876*k/7.
4*k*(k + 23271719)/7
Determine m so that -3*m**4 - 24*m**3 + 56289*m**2 - 112494*m + 56232 = 0.
-142, 1, 132
Factor -h**3/3 + 266141*h**2 - 53122076256*h - 478120243968.
-(h - 399216)**2*(h + 9)/3
Suppose 5*s**3 + 24940*s**2 - 884912720*s + 3336127150400 = 0. What is s?
-17380, 6196
Factor r**3/5 - 1462*r**2/5 + 47219*r/5 - 88598/5.
(r - 1429)*(r - 31)*(r - 2)/5
Let 3*a**4/7 + 10111851*a**3/7 - 10111854*a**2/7 = 0. Calculate a.
-3370618, 0, 1
Solve 2*c**4 - 1266*c**3 + 13720*c**2 - 22392*c = 0.
0, 2, 9, 622
Factor 3*q**2/4 + 23964030*q - 95856123/4.
3*(q - 1)*(q + 31952041)/4
Solve 4*b**4 - 40616*b**3 - 2122444*b**2 - 4123024*b - 2041200 = 0 for b.
-50, -1, 10206
Suppose 5*b**5/4 + 1660*b**4 + 936595*b**3/2 - 1414865*b**2 + 5672765*b/4 - 473285 = 0. Calculate b.
-919, -412, 1
Let 2*c**3 + 30828*c**2/5 + 24654*c/5 - 6164/5 = 0. Calculate c.
-3082, -1, 1/5
Factor 6*b**3 + 268*b**2 - 4032*b - 12544.
2*(b - 14)*(b + 56)*(3*b + 8)
Factor -2*p**2 + 3487296*p + 31385826.
-2*(p - 1743657)*(p + 9)
Factor -d**2/8 - 787*d/2 + 138720.
-(d - 320)*(d + 3468)/8
Let y**4/2 - 16179*y**3 + 130799088*y**2 + 1309609280*y = 0. What is y?
-10, 0, 16184
Factor -49*i**2 + 1563616*i - 829660.
-(i - 31910)*(49*i - 26)
Factor 113699739123*x**3/5 + 341101553517*x**2/5 + 7008456*x/5 + 36/5.
3*(x + 3)*(194679*x + 2)**2/5
Factor -17*t**2/2 + 7576*t + 2269536.
-(t - 1128)*(17*t + 4024)/2
Find j such that -j**4/5 - 952*j**3/5 + 62869*j**2/5 + 952*j/5 - 62868/5 = 0.
-1014, -1, 1, 62
Find v such that v**2 - 10751*v - 1535772 = 0.
-141, 10892
Determine g so that 59*g**5 - 2890*g**4 + 2193*g**3 + 27886*g**2 + 23128*g + 384 = 0.
-2, -1, -1/59, 4, 48
Suppose -465*a**5 - 18800*a**4 - 91235*a**3 - 100900*a**2 - 28000*a = 0. What is a?
-35, -4, -1, -40/93, 0
What is m in -345*m**4 - 32425*m**3 - 456655*m**2 - 418415*m + 6160 = 0?
-77, -16, -1, 1/69
Solve -4*p**5 + 8791280*p**4 - 4830280881268*p**3 - 144914650724152*p**2 - 927469068716800*p + 2473238846720000 = 0 for p.
-16, 2, 1098925
Find d such that -4*d**3/5 + 336923*d**2/5 + 84231*d/5 = 0.
-1/4, 0, 84231
Factor 4*v**2 + 119784*v - 13948768.
4*(v - 116)*(v + 30062)
Solve z**5 + 1109*z**4 - 181496*z**3 - 271376684*z**2 + 59636263520*z + 59907457600 = 0 for z.
-844, -1, 290
Factor 5*z**3 - 125*z**2 - 2646500*z - 26447500.
5*(z - 745)*(z + 10)*(z + 710)
Let 50*c**5 + 181690*c**4 - 28718122*c**3 + 1099594454*c**2 + 893506768*c + 179624984 = 0. Calculate c.
-3787, -2/5, 77
Determine m so that -m**4/4 - 12837*m**3/2 + 25682*m**2 + 102696*m - 410848 = 0.
-25678, -4, 4
Find i such that i**5 - 4343137*i**4 - 4343141*i**3 + 13029409*i**2 + 21715688*i + 8686276 = 0.
-1, 2, 4343138
Let -y**2 - 104952*y + 4724865 = 0. Calculate y.
-104997, 45
What is p in -4*p**4 + 1008*p**3 + 145144*p**2 - 897648*p + 1359756 = 0?
-107, 3, 353
Suppose -k**3/3 - 13*k**2 + 109354*k/3 - 254408 = 0. Calculate k.
-354, 7, 308
Find m such that 2*m**4 + 38*m**3 - 7414*m**2 - 168054*m + 1521828 = 0.
-54, -33, 7, 61
Find t such that 2*t**2/5 + 273576268*t/5 + 9355496801600978/5 = 0.
-68394067
Factor -2*f**3 - 54410*f**2 - 380792*f - 543960.
-2*(f + 2)*(f + 5)*(f + 27198)
Suppose -2*z**4 - 40892*z**3 - 231536162*z**2 - 230188264992*z - 633752 | {
"pile_set_name": "DM Mathematics"
} |
eplacement from hhhhhhhhnhhhhohho.
1/2040
Four letters picked without replacement from {y: 5, l: 3, e: 2, p: 5}. Give prob of sequence eeel.
0
Three letters picked without replacement from {j: 19, t: 1}. Give prob of sequence jjj.
17/20
Calculate prob of sequence kf when two letters picked without replacement from {h: 1, g: 1, b: 2, k: 1, d: 1, f: 1}.
1/42
Two letters picked without replacement from tsstsis. Give prob of sequence is.
2/21
Three letters picked without replacement from {g: 3, p: 5, v: 1, r: 3, n: 6}. Give prob of sequence rnp.
5/272
Two letters picked without replacement from {a: 2, r: 7, o: 1, h: 1, e: 4}. Give prob of sequence ar.
1/15
Two letters picked without replacement from {v: 2, y: 1, x: 1, t: 1, r: 4}. What is prob of sequence ty?
1/72
Three letters picked without replacement from {f: 4, r: 2, u: 2, h: 2, d: 4}. What is prob of sequence dhd?
1/91
Two letters picked without replacement from zzgggz. What is prob of sequence gg?
1/5
Two letters picked without replacement from ggpgpggggp. Give prob of sequence gg.
7/15
Three letters picked without replacement from ycqqccqyyqccccycycy. Give prob of sequence qcy.
12/323
What is prob of sequence btn when three letters picked without replacement from {b: 4, n: 1, t: 3}?
1/28
What is prob of sequence kck when three letters picked without replacement from {k: 4, c: 1, e: 2, l: 3}?
1/60
Two letters picked without replacement from lllffllflllllf. What is prob of sequence lf?
20/91
What is prob of sequence skdt when four letters picked without replacement from sltdqkl?
1/840
Two letters picked without replacement from {k: 2, f: 11}. What is prob of sequence kf?
11/78
Two letters picked without replacement from {k: 4, x: 1, n: 2}. Give prob of sequence xk.
2/21
Calculate prob of sequence vz when two letters picked without replacement from zzeeezddddevdeeede.
1/102
What is prob of sequence ilo when three letters picked without replacement from iwfxolf?
1/210
What is prob of sequence iqth when four letters picked without replacement from {t: 1, c: 1, q: 1, i: 1, m: 1, h: 2}?
1/420
Calculate prob of sequence ipi when three letters picked without replacement from qllqlivvvpniq.
1/858
Four letters picked without replacement from soyytswtytwjystjj. Give prob of sequence osjo.
0
Four letters picked without replacement from pjjdpjjjddpppjjpj. Give prob of sequence dddj.
1/1190
Three letters picked without replacement from {u: 5, v: 1, a: 10, l: 2, k: 2}. Give prob of sequence vlu.
1/684
What is prob of sequence jvuv when four letters picked without replacement from {v: 4, j: 2, u: 5}?
1/66
What is prob of sequence dq when two letters picked without replacement from {f: 2, d: 4, q: 7}?
7/39
Calculate prob of sequence mm when two letters picked without replacement from {i: 7, m: 3}.
1/15
Four letters picked without replacement from iggggggiiggg. Give prob of sequence iigg.
2/55
Two letters picked without replacement from omoouim. Give prob of sequence oo.
1/7
Calculate prob of sequence ofb when three letters picked without replacement from {d: 1, b: 4, f: 6, w: 2, o: 4}.
2/85
What is prob of sequence rurr when four letters picked without replacement from rooorouruor?
1/165
Four letters picked without replacement from {h: 1, l: 1, f: 4, j: 2, m: 2}. Give prob of sequence flfj.
1/210
What is prob of sequence doo when three letters picked without replacement from yosydodss?
1/126
Two letters picked without replacement from {t: 8, v: 1, p: 5, w: 3, i: 3}. What is prob of sequence tv?
2/95
Calculate prob of sequence nt when two letters picked without replacement from ntnz.
1/6
What is prob of sequence iiiz when four letters picked without replacement from {i: 18, z: 1}?
1/19
Calculate prob of sequence lhv when three letters picked without replacement from {l: 5, h: 2, j: 4, v: 2, c: 1}.
5/546
What is prob of sequence yynn when four letters picked without replacement from {y: 7, n: 3}?
1/20
Three letters picked without replacement from etettteteeeet. What is prob of sequence ett?
35/286
What is prob of sequence oko when three letters picked without replacement from dddddkdodo?
1/360
Calculate prob of sequence xlxv when four letters picked without replacement from {v: 1, j: 2, x: 6, l: 2}.
1/132
Three letters picked without replacement from ygffffyffyyyfcfuyfyf. What is prob of sequence yyy?
7/228
Calculate prob of sequence gh when two letters picked without replacement from xccxhxhxxchcccgxcxg.
1/57
Two letters picked without replacement from msssjvjxvdjvvs. What is prob of sequence vm?
2/91
Two letters picked without replacement from ibgxixixbizixxxxiivx. What is prob of sequence xi?
14/95
Three letters picked without replacement from {k: 2, a: 4, j: 2, l: 4}. Give prob of sequence alj.
4/165
Calculate prob of sequence ete when three letters picked without replacement from {v: 1, t: 5, e: 3}.
5/84
Four letters picked without replacement from cccrcrcccrkkccc. What is prob of sequence rcrr?
1/546
Calculate prob of sequence ff when two letters picked without replacement from fff.
1
Calculate prob of sequence ig when two letters picked without replacement from {g: 4, f: 2, i: 4}.
8/45
Two letters picked without replacement from {i: 5, g: 4, o: 1, k: 1, d: 1}. Give prob of sequence id.
5/132
What is prob of sequence xb when two letters picked without replacement from {i: 3, x: 4, b: 1, t: 2, z: 1}?
2/55
Three letters picked without replacement from {g: 1, n: 2, o: 7, w: 1, y: 1, j: 5}. What is prob of sequence oow?
7/680
Two letters picked without replacement from {r: 2, n: 1, z: 2, b: 1, m: 1, k: 2}. Give prob of sequence bz.
1/36
Four letters picked without replacement from {e: 1, l: 3}. Give prob of sequence lell.
1/4
Calculate prob of sequence xexe when four letters picked without replacement from eexowxkhkwee.
1/495
Three letters picked without replacement from gcrwzpgrwwwwgr. What is prob of sequence rwg?
15/728
What is prob of sequence mzo when three letters picked without replacement from moohmohoozooo?
4/429
Calculate prob of sequence rrr when three letters picked without replacement from {h: 2, r: 5}.
2/7
What is prob of sequence aje when three letters picked without replacement from ceaaqaajajccaj?
3/364
Calculate prob of sequence lh when two letters picked without replacement from hhiiffhfhlhl.
5/66
Three letters picked without replacement from ssswssswsss. Give prob of sequence wss.
8/55
Four letters picked without replacement from {w: 3, u: 5, g: 2}. What is prob of sequence wggw?
1/420
Two letters picked without replacement from {r: 7, z: 2, h: 9}. Give prob of sequence hz.
1/17
Calculate prob of sequence ee when two letters picked without replacement from noeeoeoooooooon.
1/35
Calculate prob of sequence ggq when three letters picked without replacement from {u: 3, f: 1, q: 6, w: 2, g: 7}.
14/323
What is prob of sequence ttff when four letters picked without replacement from taataffaataatsa?
1/1365
Two letters picked without replacement from {o: 7, z: 1}. Give prob of sequence oz.
1/8
Two letters picked without replacement from secesxw. Give prob of sequence ew.
1/21
Four letters picked without replacement from zzmmz. What is prob of sequence mmzz?
1/10
What is prob of sequence sqs when three letters picked without replacement from xxqfxfxfqsxskx?
1/546
Two letters picked without replacement from ccucdncnncddw. Give prob of sequence dw.
1/52
What is prob of sequence bggg when four letters picked without replacement from {b: 2, g: 9, q: 2}?
42/715
What is prob of sequence ykpf when four letters picked without replacement from pfffkgfpfpffkffpy?
3/2380
What is prob of sequence ese when three letters picked without replacement from ssjjesjejsssj?
1/143
Four letters picked without replacement from {g: 8, v: 2, r: 1, a: 1, s: 5}. Give prob of sequence rssa.
1/2856
What is prob of sequence nva when three letters picked without replacement from vnnaw?
1/30
What is prob of sequence rrx when three letters picked without replacement from {r: 9, x: 5}?
15/91
Three letters picked without replacement from dbvdaadauaadauaa. Give prob of sequence bvd.
1/840
Two letters picked without replacement from {r: 2, f: 1, o: 2, u: 7, y: 2, b: 2}. Give prob of sequence yb.
1/60
What is prob of sequence cx w | {
"pile_set_name": "DM Mathematics"
} |
2)*(3*z + 0*z - 5*z) + (3*z**4 - 4*z**4 + 0*z**4)*(3*z - z - z).
-5*z**5
Expand 4*t**2 - 6*t**2 + 4*t**2 + (-4*t - 2*t + 3*t)*(-10*t + 14 - 14).
32*t**2
Expand (n - 2*n**3 - n + (-4*n + 5*n - 2*n)*(-8*n**2 - n**2 + 0*n**2))*(3*n + n - 2*n).
14*n**4
Expand 0*n**5 - 4*n**5 + n**5 + 2*n**5 + n**3 - n**3 + (-n + n + 2*n**2)*(0*n**3 + n**3 - 3*n**3) + n**5 + 2 - 2 + (-2*n**2 + n**2 - n**2)*(-3*n - n**3 + 3*n).
-2*n**5
Expand (-2*b + 3*b - 2*b)*(3*b**2 - 6*b**2 + b**2) + 225 - 225 - 30*b**3 + (1 - 1 - 2*b)*(3*b**2 - 4*b**2 + 3*b**2).
-32*b**3
Expand (2 - 2 + u)*(-u + 0*u - u) + u**2 - 2*u**2 + 2*u**2 + (-u - u + 3*u)*(-3*u - 3 + 3).
-4*u**2
Expand (-2*k + 0 + 0)*((-3 + 4 - 3)*(-4*k - k + 3*k) - 4 + 4 + 3*k).
-14*k**2
Expand (2 + 1 - 1)*(0*g**4 + 5*g**4 - 3*g**4) - 8*g**4 + 3*g**2 - 3*g**2.
-4*g**4
Expand (-4*m + 3*m + 0*m)*(m**2 + 2 - 2)*((5*m - 4*m - 3*m)*(1 + 4 - 3) + m - 3*m + 0*m).
6*m**4
Expand (1 + 2 - 5)*(-1 - 2 + 5)*(4*o + 3*o - 3*o).
-16*o
Expand -2*s**4 - 3*s**4 + 6*s**4 + (3*s - 3*s**3 - 3*s)*(-4 + 4 + 2*s) + (4*s - 3*s**2 - 4*s)*(5*s**2 - 2*s**2 - 2*s**2).
-8*s**4
Expand (-2 - 1 + 1)*(-i + 0 + 0)*(45*i**3 - 45*i**3 + 13*i**4).
26*i**5
Expand -2*f**2 - 5*f**3 + 6*f**4 + 5*f**3 + (0 + 0 + 2*f)*(0*f**3 - 2*f**3 + 4*f**3).
10*f**4 - 2*f**2
Expand 2*d + 4*d**4 - 6*d**4 - d**4 + d**4 - d**4 - 2*d**4 + (3 + 0 - 4)*(3*d**3 - 3*d**3 + d**4) - d**4 + 0*d**4 - d**4.
-8*d**4 + 2*d
Expand (-2*x + 4*x - x)*((3 + 0 - 1)*(5 - 1 - 6) + 0 + 0 - 2)*(x**4 - 2*x**4 + 0*x**4).
6*x**5
Expand (-2 + 0*g + 2*g - g - 4*g + 3*g - g + g + g - 3*g + (-1 - 4 + 4)*(2 - 2 + 2*g) + 5*g + 3*g - 6*g)*(-3*g**2 + 3*g**2 - g**2).
2*g**3 + 2*g**2
Expand 6*y**5 - 4*y**5 + 4*y**5 + (0 + 5 - 1)*(-2*y**4 + 2 - 2)*(4*y - 3*y - 2*y).
14*y**5
Expand (-33 + 3 - 9)*(4*z - 4*z - z)*(z + 1 - 1)*(0*z - 2*z + 3*z).
39*z**3
Expand (0 + 2 + 1)*(-4 - 2*l + 4 + (-3*l + 4*l - 3*l)*(0 - 4 + 5) + l + 0*l + 2*l + (-4 + 4 - 1)*(-3*l + 2*l - l)).
3*l
Expand (-k**2 + 2 - k**2 - 2*k**3 - 5)*(0 + 0 + 2*k).
-4*k**4 - 4*k**3 - 6*k
Expand (4*s + 5*s - 2*s)*(3*s + 2*s - 4*s) - 2 - s**2 + 2.
6*s**2
Expand (3*w + w - w)*(-8*w + 3*w - w).
-18*w**2
Expand (2*f + f**3 - 2*f)*(-2*f + 3 - 3)*(-46*f - 19*f + 32*f) - 3*f**5 + f**5 + 0*f**5.
64*f**5
Expand (3*l**3 - 4*l**3 - l**3)*(-l**2 + 0*l**2 - l**2 + 2*l**2 - 6*l**2 + 2*l**2 + (2*l + 4 - 4)*(-6*l + 4*l - l)).
20*l**5
Expand (4 + 0*o**2 - 2*o**2 - 1)*(-3 + 2 + 3)*(6 - 3 - 2).
-4*o**2 + 6
Expand ((-2 + 2 + 2)*(-2 - 1 + 1) + 2 + 6 - 7)*(6*l - 2*l - l).
-9*l
Expand (-s**4 + 3*s**4 - s**4)*(0*s + 3*s + 3*s) + 3*s**5 + 3*s**5 - 5*s**5.
7*s**5
Expand (-1 - 1 + 3)*(-g**2 + 5*g**2 - g**2)*(4 - 4 + g).
3*g**3
Expand 2 - 2*t**3 - 2 - 3*t**3 + 10*t**3 - t**3 + (-t**3 - t**3 + 0*t**3)*(2 - 11 - 4).
30*t**3
Expand (-3 - 1 + 2)*(2*d**2 - 6*d**2 + 20*d**2).
-32*d**2
Expand 1 - 2*l**3 - 1 + (-6*l**3 + 2*l**3 + 2*l**3)*(6 - 5 + 1) - 3*l**3 - l**3 + 2*l**3 - 3*l**3 - 6*l**3 + 0*l**3 + (-2 + 5 - 1)*(-3*l**3 + 3*l**3 - l**3).
-19*l**3
Expand (-f**3 - 2*f**3 + 4*f**3)*(-1 - 1 - 4) + (-f + 0 + 0)*(3*f**2 - 3*f**2 - 2*f**2).
-4*f**3
Expand 5*v - v - 3*v + (3*v + 0*v - 2*v)*(-5 - 2 + 4) - 2*v + 0*v + v - 6 + 6 + 2*v.
-v
Expand (4*g - g**3 - 4*g)*(0 - 1 + 6 + 6*g).
-6*g**4 - 5*g**3
Expand (2*i - 2*i + 3*i**4)*(2 - 7*i - 2).
-21*i**5
Expand (2*v**4 - 2*v + 2*v)*(-1 + 1 - 2)*(-8 + 7 + 5).
-16*v**4
Expand (-2*r - r + 4*r)*(-2 - 1 + 1).
-2*r
Expand (3*r**3 - 2*r**3 + 0*r**3)*(-r + 5*r - r)*(3 + 0 - 2).
3*r**4
Expand (-138*o + 46 - 46)*(3*o**3 - o**3 - o**3).
-138*o**4
Expand (-2*i - i**2 + 2*i + (-2*i + 3 - 3)*(6*i - 2*i - 2*i) - 1 - i**2 + 1 - 2*i + 2*i**2 + 2*i)*(22*i**3 - 11*i**3 + 6*i**3).
-68*i**5
Expand (18 - 18 + 3*v**2)*(6 + 2 - 4).
12*v**2
Expand (-8*y + 8*y + 4*y**2 + (5 + 0 - 3)*(-5*y + 5*y + 2*y**2))*(y + 3*y - 3*y)*(-y - y + 0*y).
-16*y**4
Expand (0*k**2 - 2*k**2 + 4*k**2)*(-11 + 0 + 0).
-22*k**2
Expand (-4 - 2*p + 4)*(-2*p**3 - 2*p**2 + 2*p**2) + (-7*p + 0*p - p)*(p**3 - 4*p**3 + p**3).
20*p**4
Expand (-4 + 5 + 0)*(-2 - 1 + 2)*(f**5 + 2*f**5 - 5*f**5).
2*f**5
Expand -2*w**5 + 5 - 5 + (-4*w + 4*w - w**3)*(4 + 0 - 5)*(-3*w**2 - w**2 + 3*w**2).
-3*w**5
Expand (2 + 4 - 5)*(88*z**4 - 1010 + 1010).
88*z**4
Expand (-6*g**3 - g**3 + 4*g**3)*(-2 + 4 - 1)*(11*g**2 - 2*g + 8*g**2 + 6*g**2).
-75*g**5 + 6*g**4
Expand (2 + 5 - 5)*(-3*t - 2*t + 2*t) + t + 3*t - 6*t + 6*t - 2*t + 8*t.
4*t
Expand (0*q**2 + 0*q**2 + 2*q**3)*(3 - 4 - 1) + 0*q**3 + 7*q**3 + 8*q**3.
11*q**3
Expand (2*d + d - d)*(0 + 1 + 2)*(0*d - 2*d + 3*d).
6*d**2
Expand (-3*i**2 + 2*i**2 - 2*i**2)*(2*i + i - i) + 10 - 10 + 2*i**3.
-4*i**3
Expand 38*v + 14*v - 6*v + (2 + 4 - 5)*(-1 + 1 + v).
47*v
Expand (1 - 2*y**4 - 1)*(-4 + 13 - 11 - 2*y).
4*y**5 + 4*y**4
Expand -2*q**3 - 7 + 7 + q**3 - 3*q**3 + 0*q**3 + (0*q**2 - 6*q**2 + 4*q**2)*(-1 - q + 1) + 1 + 2*q**3 - 1 - 2 + 2 + q**3 - 1 + 2*q**3 + 1.
3*q**3
Expand -2 + 2*q**3 + 2 + (-q + 2*q - 2*q)*(5*q**2 + 6*q**2 - 3*q**2) - q**3 - 2*q**3 - q**3.
-10*q**3
Expand (4*d**4 + 7*d**4 - 4*d**4)*(-2*d - d + 5*d).
14*d**5
Expand (-3 + 7 - 3)*(5*r + 2*r - 4*r)*(-4*r + 6*r + 4*r)*(-1 + 2*r - 4 + 4).
36*r**3 - 18*r**2
Expand (c - 6*c + 3*c)*(-15*c**2 + 15*c**2 + 6*c**3).
-12*c**4
Expand ((h - 5*h + 3*h)*(-3 + 3 + h) - 3*h**2 + 2*h**2 - h**2 - 2*h**2 + 0 + 0 + h**2 + 0*h + 0*h - 2 + 2 + 2*h**2)*(53*h**3 - 2*h**3 - h**3).
-100*h**5
Expand 13*f**2 + 3*f**3 - 13*f**2 + (-3 - f**2 + 3)*(f - 6*f + 4*f) + 0 + 0 + f**3 + (0*f + 0*f - f**3)*(4 - 4 - 2).
7*f**3
Expand -5 + 5 - 4*o**2 + (-4 + 4 - 2*o)*(-o - 2*o + o) + 5*o**2 - 4*o**2 - 7*o**2.
-6*o**2
Expand (o + o + 0*o + (9 - 2 + 0)*(-3*o + 2*o + 2*o) - 2*o + 4*o - o)*(-o**2 + 2*o**2 + o**2).
20*o**3
Expand -10 + 10 - 9*j**2 + (2*j - j + j)*(-j - 4*j + 3*j) + 3*j**2 - 3*j**2 - 2*j**2 + 3*j**2 - 5*j**2 + 0*j**2.
-17*j**2
Expand -4*h + 0*h - 2*h**2 + h**2 - 15*h**2 + 28*h - 28*h + (2*h - 2*h - h**2)*(-3 + 5 - 4).
-14*h**2 - 4*h
Expand (0 + 0 + 4)*(3*f + 0*f - 5*f)*(-2*f - 4 + 4)*(-5 + 3 + 0).
-32*f**2
Expand (4*s - 3*s + 0*s)*(-3 + 4 - 5)*(-25 + 28 - 16).
52*s
Expand (2*i + 1 - 1)*(0 + 2*i**2 + 1 + 2*i + 1).
4*i**3 + 4*i**2 + 4*i
Expand 2 - 2 - 2*m + (4*m - m - m)*(2 - 2 + 2).
2*m
Expand (p**4 - p**4 - p**4)*(0*p + p + 9 + 0*p).
-p**5 - 9*p**4
Expand -31*x**2 + 4*x + 3*x**4 + 31*x**2 + (-4 - 2*x**2 + 4)*(2*x**2 + 1 - 1) + 5*x**4 - x**4 - 2*x**4 - x**4 - 3*x**4 + 5*x**4 + 3*x**4 - x + x.
5*x**4 + 4*x
Expand (-t + t - 4*t**2)*(t + 0*t - 2*t)*(-2 - 2 + 3).
-4*t**3
Expand -3*y - 1 + 1 + (-2*y - 2 + 2)*(-1 - 1 + 4).
-7*y
Expand (-n + 5*n + 0*n)*(-4*n**3 + 2*n**3 + 4*n**3) - n**4 - 4*n**4 + 3*n**4 + 3 + 2*n**4 - 3 + (0 - n + 0)*(3*n**3 - 5*n**3 + n**3) + 3 + 2*n**4 - 3.
11*n**4
Expand 1 + 2*t**3 - 1 + (-t + t + 2*t**2)*(-t - 2*t + t) - 269*t**2 + 269*t**2 - 48*t**3.
-50*t**3
Expand (3*u - 3*u + u**5)*(4 - 9 - 1).
-6*u**5
Expand (-2*q - 2*q**4 + 2*q)*(0 + 2*q + 0) + 11*q**5 - 2*q**3 - 9*q + 7*q - 10*q**5.
-3*q**5 - 2*q**3 - 2*q
Expand (k**2 - 7*k**2 + 4*k**2)*(-2 + 2 - 2*k) + (k**2 - 3*k**2 + k**2)*(2*k - 4*k + 4*k) + k**3 + 3*k**2 - 3*k**2.
3*k**3
Expand (1 + f**2 - 1)*(2 + 14 - 9).
7*f**2
Expand (4 - 2 - 4)*(5*a + 2*a - 6*a)*(-245 + 6*a + 245).
-12*a**2
Expand (-10*g - 16 + 16)*(g**4 + 4*g - 4*g + (-2 - g + 2)*(-5 + 5 + 2*g**3)).
10*g**5
Expand (4*k**2 + k**2 + 2*k**2 - 1)*(5*k**2 + 2*k**2 - 4*k**2).
21*k**4 - 3*k**2
Expand (2*v**4 + 0*v**4 + 3*v**4)*(2 - 3 - 2)*(1 - 3 + 1)*(-5*v + v + 2*v).
-30*v**5
Expand (0*s**2 + 3*s**2 - 5*s**2)*(1 + 75*s - 42*s - 35*s).
4*s**3 - 2*s**2
Expand (3 + 2 - 6)*(-27*c + 33*c - 18*c) + c + c - 3*c + 2*c + c - 4*c.
10*c
Expand ((6 + 0 - 3)*(2 + 1 - 5) - 4 + 0 + 2)*(-3*z**2 - 2*z**2 + 4*z**2).
8*z**2
Expand (-n + n - n + 3 - 3 - 2*n - 3*n - 2*n + 3*n + (3 + 2 - 4)*(n + 1 - 1) - 5 + 5 - 3*n + 2*n + 4*n - 7*n - 2*n + 2*n - 2*n)*(-2*n - 2 + 2).
20*n**2
Expand (-c + 0*c + 3*c)*(3 + 4 - 4) - 2*c + 3*c + c + 8 - 3*c - 8.
5*c
Expand (3*h - h + 0*h)*(1 - 3 + 1) - h + 4*h - 5*h + 2 - 2 + 2*h.
-2*h
Expand (-3*q**2 - 4*q**2 + 5*q**2)*(-4*q - 3*q + 0*q) + (-4*q**2 + q**2 + 2*q**2)*(-2*q - 4*q + 4*q).
16*q**3
Expand (0*o**4 + 0*o**4 - o**4 + (-3*o**2 + o**2 + 7*o**2)*(-3*o**2 + 3*o**2 + 4*o**2) + 4*o**4 - 4*o**4 + o**4)*(-o + 3*o - 3*o).
-20*o**5
Expand (2*i**2 + 2*i**2 - 2*i**2)*(-92*i + 92*i + 10 + 2*i**2).
4*i**4 + 20*i**2
Expand (-2 - | {
"pile_set_name": "DM Mathematics"
} |
he prime factors of a?
2, 3, 29
Let n(u) = u**3 + 2*u**2 + 3*u - 9. Let w(t) be the first derivative of -2*t**3/3 - 11*t**2 + 3*t - 13. Let k be w(-11). List the prime factors of n(k).
3, 5
Let q(f) = -15 + 4*f**2 + f**2 + 0*f**2 - 4*f**2 + 6*f. List the prime factors of q(5).
2, 5
What are the prime factors of -6 + 2/3 + 21441*16/144?
2377
Suppose 5 = 5*w - 4*x, -w - 2*x - 5 = -6*w. Let f be (w/(-3))/(-1 - (-12)/9). What are the prime factors of (2 - f) + (0 - (4 - 62))?
61
Let c = -152 - -157. Suppose -5*r - 5 - 25 = 5*t, 4*t = c*r - 6. List the prime factors of 318*(-84)/(-99) - r/11.
2, 3, 5
Let i = 148 + -161. Let l(v) = -v**3 - 6*v**2 + 17*v + 36. List the prime factors of l(i).
2, 499
What are the prime factors of (-25196)/8*(-12)/30*5?
6299
Suppose 0 = -16*g + 267 - 59. Let u be (g + -12)*(2 + 1 - 0). Suppose 453 = 5*p - u*w, 2*w + 2*w + 454 = 5*p. What are the prime factors of p?
2, 3, 5
Let s(q) be the third derivative of 7*q**6/120 - q**5/30 + 3*q**3 + 52*q**2. What are the prime factors of s(4)?
2, 7, 31
Suppose w = -3*x + 48, -2*w + 3*x + 86 = -28. Suppose -o = -w + 11. List the prime factors of o.
43
Let y(n) = -n**2 + 17*n - 3. Let s be y(7). Let o = 169 + s. Let u = o + -139. List the prime factors of u.
97
Let l = 176 + -174. Suppose -s - 4*g = -6*g - 3, 0 = -4*s - l*g + 62. What are the prime factors of s?
13
Suppose 3*k - 364 = -4*q - 1225, 4*k + 4*q = -1148. Let a = 199 + k. What are the prime factors of -2 - ((-2)/(-2) - 1) - a?
2, 43
Suppose c - 14*c + 427840 = 19*c. List the prime factors of c.
2, 5, 7, 191
Let n = -5731 + 19615. List the prime factors of n.
2, 3, 13, 89
Suppose r + 3*r + 4 = -4*s, 3*r = 4*s + 18. Let v(o) = -4*o**3 - 5*o**2 + 5*o - 1. Let u be v(r). Let w = u + 115. List the prime factors of w.
2, 3
Let o = -156 - -160. Let l(i) = 174*i - 69. List the prime factors of l(o).
3, 11, 19
Let w = 34134 + -3644. What are the prime factors of w?
2, 5, 3049
Let w(r) = 2*r**2 + 25*r - 17. Let t be w(-14). Let q be t*(-1)/2 + 12/24. What are the prime factors of 3/q - (-3750)/24?
2, 3, 13
Let i(o) = o**2 - 6*o - 30. Suppose -4*l + 36 = -3*r - 3*l, -3*r - 2*l = 27. List the prime factors of i(r).
157
Let v(u) be the first derivative of u**4/4 + 5*u**3/3 - u**2 - u + 56. Let c(o) = o + 1. Let n be c(-4). List the prime factors of v(n).
23
Let j be (-1)/4 + (-45)/12. Suppose 0 = -4*w + v + 22, -3*v + 23 - 11 = w. List the prime factors of 348/w - (j - 0).
2, 31
Let v = -151 - -160. Suppose -2574 - 468 = -v*t. What are the prime factors of t?
2, 13
Suppose 3*o - 16 = -2*w, -14*o - w = -13*o - 6. Suppose -q = -2*f + 4, 13 = o*f + 1. What are the prime factors of q - (-4 + -75 + -1)?
2, 41
Suppose 3967*q = 3966*q + 12439. List the prime factors of q.
7, 1777
Let l = -194 + 192. Let g(j) = 3*j. Let i be g(9). List the prime factors of i*((-28)/(-6) + l).
2, 3
Suppose -2*a + 6 = 0, n - 11*a - 10 = -13*a. Suppose 4*s + 2379 = 3*w - s, w + n*s = 810. List the prime factors of w.
2, 3, 7, 19
Suppose -5*y = -a + 95, 8*y + 218 = 2*a + 12*y. Let i = a + -8. What are the prime factors of i?
97
Suppose -28*x = -248 + 80. What are the prime factors of 8502/9 + 4 + (-22)/x?
3, 5, 7
Let s be (1*4)/((14 - 12)*1). Suppose -s*i = -3*h + 864, -2*h + 5*i + 1435 = 3*h. List the prime factors of h.
2, 5, 29
Let n be (24/(-14))/(10/105). List the prime factors of ((-4)/6)/(n/4887).
181
Let t be (0 - 1)*(0/(-2) + -3). Suppose t*h = -3*h + 1080. Suppose -3*n + 486 + h = 0. List the prime factors of n.
2, 3, 37
Suppose -3*b + 9*b - 7022 = 6712. What are the prime factors of b?
3, 7, 109
Suppose -2*o = -m - 33738, 17538 = o + 2*m + 664. List the prime factors of o.
2, 5, 7, 241
Suppose 25*h + 182 = 18*h. Let t(s) = s**2 - 29*s - 116. List the prime factors of t(h).
2, 3, 73
List the prime factors of 44709/(-2)*(-28 + 26).
3, 7, 2129
Suppose -2*i = 2*b - 2, -2*b = -5*b - 12. Suppose 4*k = -i*h + 2292, -581 = -2*h + 2*k + 343. Suppose 2*d = -3*d + h. List the prime factors of d.
2, 23
Let t be 76*(2/5)/((-6)/30). Let v be (-41)/(5 - 12/3). Let h = v - t. List the prime factors of h.
3, 37
Suppose -24910 = -5*o - 5*s, 4*o - 3*s - 23394 = -3459. List the prime factors of o.
3, 11, 151
Let t = 604 + 184. Suppose -17*m + t = 108. What are the prime factors of m?
2, 5
Let p(u) = -150*u + 1197. List the prime factors of p(-38).
3, 11, 19
Let i = 12588 - 7401. What are the prime factors of i?
3, 7, 13, 19
Let y be 35/7 - -719 - 2/2. Let s = y - 174. What are the prime factors of s?
3, 61
What are the prime factors of (5842031/3180 + (-4)/(-30))*24?
2, 3, 7349
Suppose -73*z = -64*z. Suppose 153*c - 151*c - 54 = z. What are the prime factors of c?
3
Let g(f) = -2*f**3 - 47*f**2 - 596*f - 20. List the prime factors of g(-19).
3, 5, 179
Let y(u) = 1710*u - 9912. List the prime factors of y(13).
2, 3, 2053
Let g = 1134 - 776. List the prime factors of g*((-3)/(-14) - 8/(-28)).
179
Suppose 38*j + 98136 = 80*j + 190*j. What are the prime factors of j?
3, 47
List the prime factors of -12*35/840 + (66190/4 - -1).
2, 3, 7, 197
Let f = -35 - -155. Let s = f - 81. What are the prime factors of s?
3, 13
Suppose 2*b - 545 = -r, r - 2*r = -b + 277. Suppose 978 - b = 4*l. Let k = l + -82. List the prime factors of k.
2, 47
List the prime factors of 25134/10 + ((-2825)/(-125) - 22).
2, 3, 419
Suppose -25*v + 97520 = -121792 + 24712. List the prime factors of v.
2, 7, 139
Suppose 5*l + 2167 = 2*l - m, -2*l - 1436 = 5*m. Let c = l + 1058. List the prime factors of c.
5, 67
Let d(z) = 9*z + 49*z - 19 - 23 + 10 + 112*z. What are the prime factors of d(6)?
2, 13, 19
Let s(w) = -2*w**2 - 14*w + 9. Let p be s(-7). Suppose p*f - 13 = 23. Suppose -3*y + 8*y = f*x + 88, 2*x = -5*y + 76. List the prime factors of y.
2
Suppose -9*o = -5*o - 3*w - 28, 3*o + 2*w - 4 = 0. Suppose 2*j + 2*u - 1436 = 0, 2837 = o*j + 2*u - 5*u. What are the prime factors of j?
23, 31
Let h(i) = -i**3 + 26*i**2 + i - 53. Let z be h(26). List the prime factors of 3/z + (-5187)/(-27).
2, 3
Let u(l) = 2*l**2 - 53*l - 22. Let t be u(27). Suppose -800 = -t*h + 5*z, -5*h + 3*z + 75 = -731. List the prime factors of h.
163
Let r(x) = -x**3 + x**2 + 11*x + 18. Let h be r(-2). List the prime factors of (-51243)/(-124) - ((-6)/h - -1).
7, 59
Suppose -2*m + 3*f = 361, 24*m - 546 = 27*m - 3*f. List the prime factors of -1 + 1 - m/1.
5, 37
Suppose 13 = -6*v + 5*v. Let k(l) = -2*l - 26. Let b be k(v). Suppose 8*r - 12*r + 308 = b. What are the prime factors of r?
7, 11
Let w(s) = -9*s**2 + 13*s + 145. Let k(v) = -47*v**2 + 64*v + 724. Let h(c) = 2*k(c) - 11*w(c). What are the prime factors of h(-9)?
3, 131
Let g(x) = x**3 - 16*x**2 - 10*x + 7. Let v be g(17). What are the prime factors of 3412/10 + v/(-105)?
2, 5, 17
Let b = 100 - 104. Let f = 8 + b. What are the prime factors of 3 - ((8 - 16/f) + -204)?
7, 29
Let d(v) = -3*v - 1. Let w be d(-3). Let r be (-2)/4*(w - 94). Let z = 96 - r. What are the prime factors of z?
53
What are the prime factors of -35356*((-36)/24 + -1)?
2, 5, 8839
Let d(j) = -j - 9. Let g be d(-7). Let m be g/(-6) - 45/(-27). Suppose 0 = m*v + 17 - 189. List the prime factors of v.
2, 43
What are the prime factors of (-144604)/(-2)*((-90)/(-12) - 7)?
36151
Let n be -4 - ((-85)/25 + 3)*-95. What are the prime factors of 56/n*(-873)/6?
2, 97
Let w(c) = -60*c**3 - c**2 - 1. Let n(z) = -62*z**3 - z**2 - 1. Let o(l) = -5*n(l) + 4*w(l). List the prime factors of o(2).
5, 113
Suppose -2*l - 9 = -5*l. Suppose 4*d - 30 = l*r - 162, -2*d = 2*r - 88. List the prime factors of r/(-3)*(-10)/(120/18).
2, 11
Let b be (3/4)/((-2)/(-8)). Suppose -6*z + b = -3. List the prime factors of -1 + z + -3 + 79.
2, 19
Let m(w) be the second derivative of -w**4/6 - w**3/2 - w**2/2 - 20*w. Let c be m(3). Let x = 61 - c. List the prime factors of x.
89
Let z(t) be the first derivative of -t**4/4 + 7*t**3/3 + 19*t**2/2 - 12*t + 13. Let o be z(9). List the prime factors of (-404)/8*2/3*o.
101
What are the prime factors of (-1 + 66536/(-22))*(-54 + 43)?
3, 11093
Let o be 0 + (3 - -2) + -3. Let v be o/(-1) - (-1 - (-3)/(-1)). Suppose -3*w = -v*c - 397, -320 = -4*w - 3*c + 181. List the prime factors of w.
3, 43
Suppose -18*r = -30569 + 5. Let z = r - 803. List the prime factors of z.
5, 179
Let p(v) = v**3 + 74*v**2 + 65*v | {
"pile_set_name": "DM Mathematics"
} |
- 230*u**2 wrt u.
-4*b*i + 6*b - 190*i - 460
What is the third derivative of -4458175*m**3 - 5267109*m**2 + 2 wrt m?
-26749050
What is the third derivative of -124*v**5 - 46*v**4 - 9636*v**2?
-7440*v**2 - 1104*v
What is the second derivative of 5419096*t**2 + 16*t - 156172 wrt t?
10838192
Find the second derivative of -310*b**2*t**2 + 5*b**2*t + 3*b**2 + b*t**2 - t**2 + 25609*t wrt b.
-620*t**2 + 10*t + 6
Find the third derivative of -3965*d**4*i**3*s - 231*d**3*i*s**2 + 23*d**2*i**3*s**2 + 13*d**2*i**3 + 83*i**2*s**2 wrt d.
-95160*d*i**3*s - 1386*i*s**2
Find the third derivative of -80*h*q**3 + 103*h*q**2 - 3*h - q**5 - 2*q wrt q.
-480*h - 60*q**2
What is the derivative of -79841*f**4 - 189995?
-319364*f**3
Differentiate -13*i**2*q**2 - 742*i**2*q + 4*q**2 - 1217*q + 2 wrt i.
-26*i*q**2 - 1484*i*q
Differentiate -16*p**2*t - 3301022*p**2 + 100890*p*t**3 wrt t.
-16*p**2 + 302670*p*t**2
Find the first derivative of -260212*v - 11542 wrt v.
-260212
Find the first derivative of -4119*d*q**3 + d*q**2 + 48950*d + q**3 wrt q.
-12357*d*q**2 + 2*d*q + 3*q**2
Find the third derivative of 34622*z**4 - 2538*z**2 - z.
830928*z
What is the second derivative of -2933*a**3 + 129*a**2 + 3*a + 34535 wrt a?
-17598*a + 258
Find the second derivative of 9*s**3*u**2 - s**3*u - 16*s**3 - 2768*s**2*u**2 + 6*s*u**2 + 14*s*u - u**2 - 4*u wrt u.
18*s**3 - 5536*s**2 + 12*s - 2
Differentiate 154338*y - 50471 wrt y.
154338
Differentiate -25*k**3*t**3 + 6*k**3 - 312*k**2 + 1246*t**3 - 2 wrt t.
-75*k**3*t**2 + 3738*t**2
What is the third derivative of -2052670*j**3 + 70*j**2 - 12939*j?
-12316020
Differentiate 2745*q**4 + q**3 + 93*q**2 - 1003058 with respect to q.
10980*q**3 + 3*q**2 + 186*q
What is the first derivative of 256527*g - 379805?
256527
What is the first derivative of 5*w**4 - 800*w**3 + 30222?
20*w**3 - 2400*w**2
Find the second derivative of 3*i**4 - 10*i**3 + 2393*i**2 - 430979*i.
36*i**2 - 60*i + 4786
Find the second derivative of 124390*d**2*r + 2*d**2 - d*r - 526*d + 66*r wrt d.
248780*r + 4
What is the second derivative of -120937*g**3*u**2 - g**3 + g*u - 20*g + u**2 - 75 wrt u?
-241874*g**3 + 2
What is the second derivative of 4*n*q**4 + 4*n*q**3 + 509*n*q**2 - 28*n*q + n + 10*q wrt q?
48*n*q**2 + 24*n*q + 1018*n
What is the first derivative of h**2*j*x - 21*h**2*j*z + 1687*h**2*x + 15*h*j*x + 3*h*z - 2*x wrt j?
h**2*x - 21*h**2*z + 15*h*x
Find the second derivative of -68224*s**3 - 2*s**2 - 44499*s - 1 wrt s.
-409344*s - 4
What is the first derivative of 2*b*y**3 - 7*b*y**2 + 597*b + y**3 - 32*y + 23 wrt b?
2*y**3 - 7*y**2 + 597
Find the third derivative of 11*b**2*w**3 - 166*b**2*w**2 + 5*b**2 - b*w**4*z + 2*b*w**2 - 24*w**4*z - 5*z - 2 wrt w.
66*b**2 - 24*b*w*z - 576*w*z
What is the third derivative of -1521776*d**3 + 24*d**2 - 10451 wrt d?
-9130656
Find the second derivative of r**5 - 2001*r**4 + 3*r**3 + 72779*r wrt r.
20*r**3 - 24012*r**2 + 18*r
Find the first derivative of -d**4 + 2635*d**3 + 12*d**2 - 5*d + 2490299.
-4*d**3 + 7905*d**2 + 24*d - 5
Differentiate -f*r**3 - 294746*f*r**2 + 263072*r**3 with respect to f.
-r**3 - 294746*r**2
What is the derivative of -25*d*l**3*m + 1308*d*l**2 - 85*d*m - 55*d - 5*m + 1 wrt l?
-75*d*l**2*m + 2616*d*l
Find the second derivative of -15*i**3*q**2*v**3 - i**3*q*v**2 - i**2*q*v - 13*i**2*q - 247*i**2*v**3 - 2*i*q*v**3 - 67147*q**2*v wrt q.
-30*i**3*v**3 - 134294*v
What is the third derivative of 62322*i**4 + 2*i**3 + 51883*i**2?
1495728*i + 12
What is the first derivative of 9*r**3*u**2 - 35374*r**3*u - 101980*u**2 + 3*u wrt r?
27*r**2*u**2 - 106122*r**2*u
What is the derivative of 180264*v**3 + 1080453?
540792*v**2
Find the second derivative of 3*o**5 - 88*o**3 - 91*o**2 + 4*o - 1842 wrt o.
60*o**3 - 528*o - 182
What is the second derivative of 10752*i**5 + 3*i**2 - 21053*i?
215040*i**3 + 6
Find the second derivative of -4518212*k*m**2 - 15*k*m + k + m + 43 wrt m.
-9036424*k
What is the second derivative of -2*m**3*s**4*v + 13358*m**3*s**2*v - 174*m**3*s + m**3 - 2*m**2*s*v + 3*s*v - 2*s wrt s?
-24*m**3*s**2*v + 26716*m**3*v
What is the third derivative of -78961*s**6 + 6*s**2 + 6504?
-9475320*s**3
Find the first derivative of -52552*l*w + 2*l + 153919*w wrt l.
-52552*w + 2
Find the second derivative of 174011*l**2 + 403*l + 15.
348022
Find the first derivative of 72816*o**3*t**4 - 4836*o**3 + 2*o**2*t - o**2 + 2*o wrt t.
291264*o**3*t**3 + 2*o**2
Find the third derivative of -s**6 + 732565*s**4 - 32570*s**2 + 11*s wrt s.
-120*s**3 + 17581560*s
Differentiate 56*m**2 + 86*m + 47711.
112*m + 86
What is the third derivative of -823*g**5 + 27*g**4 + 5*g**3 - 3870876*g**2 wrt g?
-49380*g**2 + 648*g + 30
What is the second derivative of -3*c*j**3*r*x - 267863*c*j**3*x**2 + 3*c*j**2*r + 3*c*j*x**2 + 3031*c*j*x - 2*c*r*x**2 + 8*j*r wrt x?
-535726*c*j**3 + 6*c*j - 4*c*r
What is the third derivative of 1711791*p**3*t - 286*p**2*t - p**2 + 2*p*t - 409*t wrt p?
10270746*t
Find the second derivative of -426247*n**2 + 27*n + 1154 wrt n.
-852494
What is the second derivative of -2*n**3*q**2 - n**3*q + 49*n**2*q**2 + 4746*n + 2*q**2 wrt n?
-12*n*q**2 - 6*n*q + 98*q**2
What is the third derivative of -34188*b**3*h**2*q**2 - 184*b**2*h**2*q**2 + 8*b**2*h*q**2 + 2*q**2 wrt b?
-205128*h**2*q**2
Find the second derivative of -l**3 - 2704*l**2 + 60*l + 27.
-6*l - 5408
Find the third derivative of -p**5 - 7766*p**4 - p**3 - 5*p**2 - 4*p - 82 wrt p.
-60*p**2 - 186384*p - 6
Find the third derivative of -53735*n**4 - 2*n**2 - 3665*n - 2.
-1289640*n
Find the second derivative of 2*n**2*x**2 + 2*n**2*x - 22908*n**2 + n*x**2 - 20722*x**2 + 1 wrt x.
4*n**2 + 2*n - 41444
What is the third derivative of 752105*m**3*z**2 - 146*m**2*z**2 + 309*m**2*z + 2*m - 2*z wrt m?
4512630*z**2
Find the third derivative of 20*v**5 - 336*v**4 - 7*v**3 - 129241*v**2.
1200*v**2 - 8064*v - 42
What is the second derivative of -3*p**3*t**2 - 370*p**2*t**2 + p**2*t + 26735*p*t**2 - 4*p wrt p?
-18*p*t**2 - 740*t**2 + 2*t
What is the third derivative of g**3*j**3 - 34341*g**3*j**2 + 2*g**3*j - 7*g**2*j**3 + 2*g**2*j + 79*g*j**3 - 3*j**3 wrt g?
6*j**3 - 206046*j**2 + 12*j
Find the second derivative of 646103*d*y**3 - 3*d*y + 2*d - y**5 - 9*y - 831 wrt y.
3876618*d*y - 20*y**3
What is the third derivative of 229247*o**6 - 2*o**2 - 4512*o - 2 wrt o?
27509640*o**3
What is the second derivative of -1006539*a**2 - 1286068*a?
-2013078
Find the third derivative of -49*i**6*y + 166*i**3*y**3 + 3*i**2*y**2 - 9*i**2*y - 649*i**2 + 6*y**3 wrt i.
-5880*i**3*y + 996*y**3
What is the second derivative of 726*h*p**2*q*t - 3*h*p**2*q + h*p**2*t - 6*h*p*q*t - 4*h*p*q - h*p*t + 2*h*q*t + p*t + 6*t wrt p?
1452*h*q*t - 6*h*q + 2*h*t
What is the third derivative of -197*f**2*q**3 + 2453*f**2*q + 3*f**2 + f*q**2 + 119*q**3 wrt q?
-1182*f**2 + 714
Find the second derivative of 11*h**2*x**2 + 2*h**2 + 97*h*x**5 - x**3 + 20283*x wrt x.
22*h**2 + 1940*h*x**3 - 6*x
Find the second derivative of 1473508*p**2*s - 2277*p*s + 288*p wrt p.
2947016*s
Differentiate -2*y**3 + 2019*y**2 + 49774 wrt y.
-6*y**2 + 4038*y
What is the third derivative of 306*y**6 - y**5 + y**4 + 2*y**2 - 6656*y?
36720*y**3 - 60*y**2 + 24*y
Differentiate -2*h*r**2 + 2*h*r + 70066*h + 282*r**2 wrt r.
-4*h*r + 2*h + 564*r
What is the second derivative of -3936*j**3*n + 20*j**3 - j*n - 410*j - 38*n wrt j?
-23616*j*n + 120*j
What is the derivative of 7515*g*j**3 - 9*g*j*n + 8*j**3*n - 5889*n wrt g?
7515*j**3 - 9*j*n
Find the third derivative of 747160*k**3 + 626705*k**2 + k wrt k.
4482960
What is the first derivative of -h**2 - 3369*h + 47424 wrt h?
-2*h - 3369
What is the second derivative of -165*c**4*f + 1027*c**3 + 3764*c*f - 86*f wrt c?
-1980*c**2*f + 6162*c
What is the second derivative of -68698*d**5 - 2*d + 21023 wrt d?
-1373960*d**3
What is the third derivative of 249*o**4 + 277*o**3 + 19810*o**2 wrt o?
5976*o + 1662
Find the second derivative of 971*o*r**2*u**3 - 13*o*r**2*z**2 - 2*o*r*u**3 + 2*o*r*u*z - 2*o*r*z**2 + o*u*z - 5*o*z**2 + 302*u**3*z**2 wrt r.
1942*o*u**3 - 26*o*z**2
Find the second derivative of -145*c**4 - 35*c**3 + 2*c**2 + 15*c + 6812 wrt c.
-1740*c**2 - 210*c + 4
Find the third derivative of 5725*p**4 - 5*p**3 - 10*p**2 - 2*p + 224.
137400*p - 30
Find the third derivative of -3*u**5 - 1306082* | {
"pile_set_name": "DM Mathematics"
} |
8 = -2*b - 394 for b.
4
Solve -77*l - 5*l + 671 = -1461 for l.
26
Solve 0 = -411*w - 561 - 437 - 235 for w.
-3
Solve 19*f + 125 + 171 = -8 for f.
-16
Solve -136*x - 279 = -107*x + 185 for x.
-16
Solve -78*k - 57 + 681 = 0 for k.
8
Solve -12*y - 272 = -21*y - 8*y for y.
16
Solve 0 = 42*z + 322*z + 5152 + 2128 for z.
-20
Solve 41*n - 616 = -47*n for n.
7
Solve -39*o - 26*o = -31*o + 272 for o.
-8
Solve 0 = -33*b - 295*b - 218 + 1530 for b.
4
Solve 641 = -112*a - 664 - 151 for a.
-13
Solve -329*z - 1869 = 4382 for z.
-19
Solve 23*m - 7 - 131 - 161 = 0 for m.
13
Solve -343*h + 6057 + 4576 = 0 for h.
31
Solve 1211*g - 1271*g + 540 = 0 for g.
9
Solve 14*u + 244 = -66*u + 19*u for u.
-4
Solve 6*y + 103 - 29 - 8 = 0 for y.
-11
Solve -193*c = -117*c - 988 for c.
13
Solve -372*c - 2411 = -10595 for c.
22
Solve 83*f + 19*f + 49*f = 3775 for f.
25
Solve 759 - 615 = 18*m for m.
8
Solve 52272 = 111*x - 1095*x - 1194*x for x.
-24
Solve 0*x + 8*x + 88 = 0 for x.
-11
Solve -34*s - 438 = -132 for s.
-9
Solve -284*t + 177 = -107 for t.
1
Solve -13*r + 9903 = 9656 for r.
19
Solve 419*n + 153 - 153 = 0 for n.
0
Solve 0 = 53*z + 64 - 488 for z.
8
Solve 100*y = 2309 - 509 for y.
18
Solve -9841*d + 9896*d = -495 for d.
-9
Solve -34*a + 10*a = -72 for a.
3
Solve 2128 = -184*x + 317*x for x.
16
Solve 138 = 10*c + 48 for c.
9
Solve 20*x = x - 27*x - 276 for x.
-6
Solve 341 + 3234 = -325*d for d.
-11
Solve 180*b - 339 = -3579 for b.
-18
Solve 14491 = 55*i + 14546 for i.
-1
Solve -80*c - 516*c - 1124 - 3048 = 0 for c.
-7
Solve 14*y - 85967 = -86163 for y.
-14
Solve 23*g = -48*g + 7*g + 1664 for g.
26
Solve 350*j + 11858 = -189*j for j.
-22
Solve 325 = 327*q - 656 for q.
3
Solve -451*s - 56 + 46 = 441 for s.
-1
Solve 67*j + 88*j = 0 for j.
0
Solve 224*y = -60*y + 3692 for y.
13
Solve -59 = 475*w - 75 + 491 for w.
-1
Solve 681*q - 674*q + 98 = 0 for q.
-14
Solve 2517 = -155*f - 738 for f.
-21
Solve -79*u - 207 - 425 = 0 for u.
-8
Solve 107*b = -574*b - 357*b for b.
0
Solve 11*q - 14406 + 14417 = 0 for q.
-1
Solve -362*i - 44*i = 55*i - 2305 for i.
5
Solve -24*g = -50*g - 24 - 28 for g.
-2
Solve -2316 = -118*m + 162 for m.
21
Solve 26542*v = 26494*v + 528 for v.
11
Solve 61*p + 519 - 214 = 0 for p.
-5
Solve -93 = -23584*w + 23553*w for w.
3
Solve 161 + 940 = -224*g - 143*g for g.
-3
Solve 1265*v - 1394*v + 3096 = 0 for v.
24
Solve -132*v + 82 = -17*v - 1298 for v.
12
Solve 0 = -93673*t + 93627*t + 460 for t.
10
Solve -500*m - 10244 = 7756 for m.
-36
Solve 20*h + 9757 = 9877 for h.
6
Solve -49*q + 3588 = 3539 for q.
1
Solve -1343 + 1553 = -10*b for b.
-21
Solve 11*n - 62*n = 255 for n.
-5
Solve 924*p = -55*p - 7240 - 9403 for p.
-17
Solve -6*y + 1 = -18*y - 107 for y.
-9
Solve 5*h + 146 - 2726 = 134*h for h.
-20
Solve -223*t = 3287 - 10646 for t.
33
Solve 96*n + 137*n = 2*n - 1155 for n.
-5
Solve 108 = 41*o - 56 for o.
4
Solve -620*u - 1 = -616*u + 3 for u.
-1
Solve -238*w + 3366 = 510 for w.
12
Solve -51*t + 7*t + 303 = -577 for t.
20
Solve -7*g = 43*g + 78*g for g.
0
Solve 820 + 1533 = 60*y + 121*y for y.
13
Solve -28*r - 2*r + 2*r = 28 for r.
-1
Solve 226*x = 127*x - 231*x - 330 for x.
-1
Solve 21*y = 21*y - 42*y - 462 for y.
-11
Solve -59*v + 145*v = 516 for v.
6
Solve -10*b - 21*b = -4*b - 351 for b.
13
Solve -3*b + 7 + 9 = 19 for b.
-1
Solve -8*p - 40 - 100 = -60 for p.
-10
Solve -616 - 1736 = 147*y for y.
-16
Solve 4*y + 1992 = 1952 for y.
-10
Solve 108*u = 52*u - 672 for u.
-12
Solve -110*q + 294 = -131*q for q.
-14
Solve 0 = -80*o + 41*o - 351 for o.
-9
Solve -693*s + 101*s = -230 - 954 for s.
2
Solve -144*r - 24*r - 828 = -2508 for r.
10
Solve -38*p - 4*p - 11*p + 53 = 0 for p.
1
Solve -599*x = -1203*x - 963*x for x.
0
Solve -100*y + 121 + 2579 = 0 for y.
27
Solve -26*q = -139703 + 139651 for q.
2
Solve -815 = 43*f - 643 for f.
-4
Solve -550*r - 7 = -551*r for r.
7
Solve 0 = 7424*m - 7387*m + 407 for m.
-11
Solve 72227*x = 72219*x - 72 for x.
-9
Solve 819*i - 2366 - 642 = 1007*i for i.
-16
Solve 1581*x = 1584*x + 39 for x.
-13
Solve 14311*y - 14814*y - 19114 = 0 for y.
-38
Solve 2*w - 2049 + 2067 = 0 for w.
-9
Solve 19*h - 25*h + 63 = -3 for h.
11
Solve -40*v - 53*v = -10*v + 996 for v.
-12
Solve 273*d - 139*d = 144*d + 30 for d.
-3
Solve -12856*y = -12841*y - 285 for y.
19
Solve 58*o - 1503 - 576 = -803 for o.
22
Solve 42*b - 825 + 392 - 1121 = 0 for b.
37
Solve 1723*m - 2006 = 1605*m for m.
17
Solve -48 = 43*i - 59*i for i.
3
Solve -3689 + 3663 = -y + 27*y for y.
-1
Solve -810 = -147*o + 66*o for o.
10
Solve 83*p + 378*p + 5039 = -3259 for p.
-18
Solve -313*n = 598 + 1280 for n.
-6
Solve -218*a = -107*a + 175*a - 1430 for a.
5
Solve -263*w + 11840 = -442*w - 413*w for w.
-20
Solve -240*u = 2210 + 910 for u.
-13
Solve 101*c = -291*c + 3920 for c.
10
Solve -1349 = -62*r + 697 for r.
33
Solve 835*w - 816*w + 247 = 0 for w.
-13
Solve 0 = -3569*h + 4314*h + 10430 for h.
-14
Solve 0 = -636*o + 572*o + 128 for o.
2
Solve 241*t + 844 = -1807 for t.
-11
Solve 222*x - 6958 = -275*x for x.
14
Solve -23*r + 27*r + 29 = -7 for r.
-9
Solve -64*s - 8*s + 101 = -1123 for s.
17
Solve 11575*u - 11423*u - 4256 = 0 for u.
28
Solve 296891 = -9*m + 296702 for m.
-21
Solve -29*u - 720 = 19*u for u.
-15
Solve 45*o + 6*o + 8*o = 472 for o.
8
Solve 3*o - 3*o - 4 = 4*o for o.
-1
Solve -29473*x + 1248 = -29434*x for x.
32
Solve 265*v - 829 = 231 for v.
4
Solve -3*v + 4522 = 4606 for v.
-28
Solve -o + o - 30 = 2*o for o.
-15
Solve -1565*q + 87 = -1574*q - 48 for q.
-15
Solve -202*d - 191*d - 133 = -412*d for d.
7
Solve -261*q + 3404 + 4282 = -810*q for q.
-14
Solve -32637 = -1920*a + 11523 for a.
23
Solve 486*s - 34*s = 10396 for s.
23
Solve -40*n = -118*n + 48*n - 690 for n.
-23
Solve 0 = -21*z - 61777 + 61756 for z.
-1
Solve -74*y + 1651 = 763 for y.
12
Solve -123*x + 625*x + 4274 = 258 for x.
-8
Solve 15 - 60 = -15*q for q.
3
Solve -215*b - 2380 = 168*b - 145*b for b.
-10
Solve 3375 - 197 = 323*x + 131*x for x.
7
Solve -1463*m + 1596 = -1387*m for m.
21
Solve 233 + 293 + 34 = 70*j for j.
8
Solve 37*v - 12*v - 72 = 19*v for v.
12
Solve 65*q + 43*q + 864 = 0 for q.
-8
Solve 5827 = 507*j + 16786 + 4758 for j.
-31
Solve 0 = -32*f + 1354 - 1322 for f.
1
Solve -745 = 192*f - 1321 for f.
3
Solve 202*o - 161*o - 266 = 267 for o.
13
Solve 0 = -8165*a + 8206*a - 1271 for a.
31
Solve -17*p - 17*p - 96 = -18*p for p.
-6
Solve 364*z - 317*z = -94 for z.
-2
Solve -2*x = -55 + 61 for x.
-3
Solve -214*w = -71*w + 1144 for w.
-8
Solve -215*t + 1485 + 1063 = 149*t for t.
7
Solve -40296 = 11*l + 12*l - 40158 for l.
-6
Solve 112 = -68*o + 9 - 577 for o.
-10
Solve 570*h - 611*h = 246 for h.
-6
Solve 107*v + 1518 = -80*v + 49*v for v.
-11
Solve -259*g + g - 7998 = 0 for g.
-31
Solve 82 = -13*p - 92*p - 1178 for p.
-12
Solve 1171 = 168*o + 1675 for o.
-3
Solve 20*f = -231 + 31 for f.
-10
Solve 8*i - 3*i + 19*i + 24 = 0 for i.
-1
Solve 281 + 269 = 55*x for x.
10
Solve -29*y - 1527 = -1672 for y.
5
Solve 0 = -38067*w + 38017*w + 150 for w.
3
Solve -21*p - 884 = 14*p - p for p.
-26
Solve -702*f + 499*f = 812 for f.
-4
Solve 261*n - 131*n - 171 = 111*n for n.
9
Solve 28 = 50*m + 7 - 79 for m.
2
Solve -97*b - 295 - 384 = 0 for b.
-7
Solve -38*x - 572 = 198 - 200 for x.
-15
Solve 6*h + 7*h - 3*h = 20 for h.
2
Solve 0 = -14*t - 288848 + 288400 for t.
-32
Solve 0 = -34*c - 32*c - 198 for c.
-3
Solve 18*k - 41608 = -42148 for k.
-30
Solve -5856 = 1686*r + 38539 + 2813 for r.
-28
Solve -381*t - 214 = -229*t + 90 for t.
-2
Solve -3225 - 735 = 180*q for q.
-22
Solve -313 = 11*h - 522 for h.
19
Solve 9534 = 16*b + 9582 for b.
-3
Solve -23*z = -90*z + 28*z - 819 for z.
-21
Solve 226*l - 746*l - 6240 = 0 for l.
-12
Solve -385*f - 7944 = 141 for f.
-21
Solve 384214*m + 276 = 384191*m for m.
-12
Solve 13038 + 7304 = -1714*k + 6630 for k.
-8
Solve -642 = -204*n - 30 for n.
3
Solve -6*u + 1251 = -17*u + 1130 for u.
-11
Solve 2709 = 142*k + 1005 for k.
12
Solve 310 + 82 = -14*z + 126 for z.
-19
Solve 6*u + 4*u = -31*u + 164 for u.
4
Solve -121*c - 32 - 694 = 0 for c.
-6
Solve -472*v = -126*v - 4152 for v.
12
Solve -757*v + 69 = -780*v for v.
-3
Solve 0 = 9*n + 13*n + 116 - 138 for n.
1
Solve -3717 = 151*c + 1266 for c.
-33
Solve 511*f - 531*f = 140 for f.
-7
Solve 32*m + 701 = 1085 for m.
12
Solve 0 = -28*m + 607 - 607 for m.
| {
"pile_set_name": "DM Mathematics"
} |
- 2 + 4)*(-1 - 2 + 4).
-12*z + 1
Expand -3*r**4 + 3*r**4 - 2*r**4 + (91 - 91 - 5*r**3)*(-3*r + 0*r + 2*r).
3*r**4
Expand (4*g + 0*g - 2*g)*(3 - 6 + 2)*(-2 + 1 + 3)*(-65 - 189 + 72).
728*g
Expand (0 + 0 + 1)*(-1 - 4*w + 1)*(1 - 49 - 36).
336*w
Expand (256*y + 256*y - 5 - 491*y)*(2*y**3 + 0*y**3 + y**3)*(-y - 2 + 2).
-63*y**5 + 15*y**4
Expand 2*n**2 - 6*n**2 + 3*n**2 + (0*n**2 - 2*n**2 + 3*n**2)*(20 - 33 + 19).
5*n**2
Expand (2*y**3 + 2*y**4 - 2*y**3)*(-2*y - y + 2*y) - 2*y**5 + 5*y**5 + 3*y**5 + (-3*y**2 + 2*y**2 + 3*y**2)*(1 + 2*y**3 - 1) + 0*y**5 - 2*y**5 - 2*y**5.
4*y**5
Expand 0*t - 2*t + t + (t + 2*t - 5*t)*(10 + 4 - 7) + 0*t - 2*t - t.
-18*t
Expand (z + z + 3*z)*(-535*z + 521*z + 2 - 4).
-70*z**2 - 10*z
Expand (-11 + 20 - 12)*(-z + 5*z + z).
-15*z
Expand (-3*q**3 + 2*q**3 + 6*q**3)*(121*q - 359*q + 34 + 126*q + 121*q).
45*q**4 + 170*q**3
Expand (g - 1 + 1)*(176*g + 153*g - 318*g + 16).
11*g**2 + 16*g
Expand 2*z**4 - 3*z**4 - 3*z**4 + (3*z**3 - z**3 + z**3)*(-50*z + 51*z - 2 + 3).
-z**4 + 3*z**3
Expand (-3 - 2 + 3)*(2 - 6 + 3)*(-6*q**2 + 0*q**2 + 4*q**2) - 2 + 2 + 2*q**2 + q**2 + 3*q**2 - 6*q**2 + (q - 3*q + 0*q)*(0 + 0 + q) - 4*q**2 + 2*q**2 + q**2.
-7*q**2
Expand 0*y**3 + y**3 + 0*y**3 + (-3*y**2 - 10*y + 10*y)*(2*y - 2*y + y) + (-3 - 2*y + 3)*(2*y**2 - 9*y**2 - 4*y**2).
20*y**3
Expand (-8497*x**3 + 4*x + 8525*x**3 + 0*x)*(x + 2*x - 4*x).
-28*x**4 - 4*x**2
Expand (0 + 0 - 1)*(15*s - 44*s + 6*s) - 1 - s + 1.
22*s
Expand (-2 + 0 + 0 + (4 - 3 + 1)*(1 + 0 + 0) - 64 + 22 + 31 + 0 - 4 + 2)*(2*m - 2*m + 3*m).
-39*m
Expand ((1 - 1 + 1)*(5 + 2 - 3) + (4 - 1 - 4)*(0 - 5 + 4))*(-102 + 102 - 21*i).
-105*i
Expand -19*x**4 + 3*x**4 + 0*x**4 - 3*x**4 - 2*x**4 + 4*x**4 + (x - x - x**2)*(-4*x**2 + 2*x**2 + 3*x**2).
-18*x**4
Expand -x**5 - 4 + 4 - x + x**5 + x + (x - x + x**2)*(2*x**3 + 3*x**3 - 4*x**3) + 0*x**5 + 15*x**5 + 7*x - 8*x.
16*x**5 - x
Expand (658*n + 80 + 103*n - 80)*(4*n - 2*n**2 - 4*n).
-1522*n**3
Expand (-1 + 1 - x)*((3 + 3 - 4)*(-2 + 2 + 1) - 3 - 1 + 1)*(77*x - 48*x - 43*x) + 0 + x**2 + 0.
-13*x**2
Expand 2*c**2 - c**2 - 3*c**2 + (-11*c + 11*c - 16*c)*(-8 + 8 + 3*c).
-50*c**2
Expand -129*h**4 + 725*h**4 - 84*h**4 + (-3*h + 0*h + 4*h)*(-h + h + 2*h**3).
514*h**4
Expand (5*u**3 - 4*u**3 + u**3)*(43 - 14 + 17).
92*u**3
Expand (-d + 0*d + 2*d)*(-d + 2 - 2) + 0*d**2 - 2*d**2 + 0*d**2 + 5586 - 5586 - 59*d**2.
-62*d**2
Expand (-l - 2 + 4 + 0*l)*(0 - 2 - 3) + 2*l - 5*l + 2*l + 2*l - 6*l + 2*l + (0 - 1 + 0)*(-l - 3*l + 3*l).
3*l - 10
Expand (9 - 6 + 1 + c)*(1789 + 41*c - 1789)*(-7 - c**2 + 7).
-41*c**4 - 164*c**3
Expand 4*a + 3*a**3 - 2*a**3 - 2*a**3 + (-4*a**3 + 4*a**3 - 2*a**3)*(-5 + 3 + 0) + 1 - 1 + 2*a**3 - 3*a**3 + 3*a**3 - a**3.
4*a**3 + 4*a
Expand -35*n**2 - 10*n**2 - 128*n**2 + (0 + n + 0)*(-n + n + 2*n).
-171*n**2
Expand (-8*a + 5*a + 6*a + 1)*(44 - 12 - 17).
45*a + 15
Expand (-2*b + b**2 + 2*b)*(2*b - 2*b - 3*b**2) + (5*b - 5 + 5)*(-3*b**3 + 0*b**3 + b + b**3).
-13*b**4 + 5*b**2
Expand (107*m - 120*m + 132*m)*(m**3 + m - m + (-1 - 2 + 5)*(2*m**3 - 2*m**3 - m**3)).
-119*m**4
Expand -67*n**2 - 6 - 3*n**5 + 67*n**2 + (-2*n**4 + 3*n - 3*n)*(-62 + 62 + 8*n).
-19*n**5 - 6
Expand (2*l + 2 - 2)*(1527*l**4 - 148*l**4 - 46*l**4).
2666*l**5
Expand (-7 + 12 + 36*a - 4)*(5*a**3 - 5 + 5).
180*a**4 + 5*a**3
Expand (-334 + 159 + 155)*(-4*p**5 + 8*p**5 + 8*p**5).
-240*p**5
Expand (6*q**3 + 15*q - 15*q)*(-2*q**2 + 3*q**2 - 4*q**2 + q**2 + q - q + (-q - 3*q + 2*q)*(0*q - q + 3*q) - 3*q**2 + 2*q**2 + 3*q**2).
-24*q**5
Expand (-7 - 2 - 6)*(2*q - 3*q + 2*q)*(6*q + 3*q - 5*q).
-60*q**2
Expand -2 + 2 - 6*q**3 + (-2*q**3 + 2*q**3 - q**3)*(2 + 2 - 6) + (31 + 89 - 78)*(5*q**3 - 5*q**3 - 3*q**3).
-130*q**3
Expand 0 + v**2 + 0 + (-2*v + 0*v + 4*v)*(-8*v + 8*v - 4*v) + (v + 4 - 4)*(5 + 2*v - 5) + v**2 + 4*v - 4*v - v**2 - 2*v**2 + 5*v**2.
-2*v**2
Expand -781*y**2 + 781*y**2 + 27*y**3 + 2*y**2 - 2*y**2 - 2*y**3 + (4 - 6 + 3)*(-1 + 1 - y**3) - y**3 + y**2 - y**2.
23*y**3
Expand (3*p + 0*p - 2*p)*((0*p + p + 4*p)*(4*p + 18 - 18) + 0*p**2 - 2*p**2 + 3*p**2).
21*p**3
Expand (-5*j**2 + j**2 + 0*j**2)*(4 - 4 - 4)*(2 - 3 + 3).
32*j**2
Expand t**3 + 0*t + 0*t + (2*t - 8*t - 5*t)*(t**2 + t**2 - t**2) + (-2*t + 2*t - t)*(-2*t - t + 2*t)*(-2 - t + 2).
-11*t**3
Expand (-5*b + 296*b + 343*b)*(-2*b + 4*b + 0*b).
1268*b**2
Expand (6 - 4 + 0 + (1 + 0 + 5)*(-2 + 1 + 3))*(-12*z + 2*z - 2*z).
-168*z
Expand (-l**3 - l**3 + 4*l**3)*(2 + 2 - 1) + 2*l**3 - 1 + 1 + (-2*l**2 + l - l)*(2*l + 1 - 1) - 5*l**3 + 5*l**3 - l**3 + l**3 + 0*l**3 + 0*l**3.
4*l**3
Expand (4*t**4 - 6*t**4 + 3*t**4)*(31 - 330 - 519 - 98).
-916*t**4
Expand (2*f - 25 + 25)*(3 + 1 + 0)*(-2 + 0 + 0)*(0 + 2*f + 0).
-32*f**2
Expand (1 - 4 + 4)*(-3 + 3 + p) + (-183 + 183 - 66*p)*(2 + 0 - 3) + (-5*p + 2*p + 2*p)*(3 - 1 - 1).
66*p
Expand -23 + 12*x - 27 + 52 + (-x - 2*x + 5*x)*(3 - 1 + 0).
16*x + 2
Expand (11 + 11 - 19)*(p - p + 2*p**2) + (-6*p**2 - 4*p**2 + 3*p**2)*(-5 + 4 + 3).
-8*p**2
Expand (1 + 1 + 1)*(-330*c - 2*c**2 + 0*c**2 + 354*c).
-6*c**2 + 72*c
Expand -3*l + 4*l - 6*l + 0 + 2*l + 0 + (-1 + 2*l + 1)*(5 - 16 - 4).
-33*l
Expand (-18*j - 5*j**4 + 18*j + j**4 - j**4 - j**4 + (2*j**3 + 5*j**2 - 5*j**2)*(3*j - 2*j + 0*j) - j + j**4 + j)*(-9 + 9 - 6*j).
18*j**5
Expand (-1 - 4 + 7)*(0*l + l + 0*l) + 5*l - 3*l - l + (4 - 2 - 4)*(2 + l - 2) + (3 - 5*l + 21*l - 2)*(-6 - 15 + 14).
-111*l - 7
Expand (17 - 11 + 2*n - 15)*(0*n**3 - 6*n**3 - 3*n**3) + n - n - n**4.
-19*n**4 + 81*n**3
Expand (-3*r**3 + 3*r**3 + 4*r**4)*(8*r - 59*r - 21*r - 294*r).
-1464*r**5
Expand 2*b**2 - b**2 + b**2 + (-3*b + 5*b - 3*b)*(-3*b - 2*b + 4*b) + (-3*b - 1 + 1)*(-7*b - 5*b - 2*b)*(-3 - 2 + 3).
-81*b**2
Expand 5*r**2 + r - r + (-1 - 3*r + 1)*(-4*r - 2*r + 4*r).
11*r**2
Expand (0*k - 4*k + 3*k)*(-2 - 2 + 3)*(4 - 60 + 25) - 3 - 2*k + 3 + (-2*k - k + k)*(1 - 2 - 1) + 5 + 2*k - 5.
-27*k
Expand 0*y - 8*y + 6*y + 3*y**2 + 7*y**4 + (y**2 - 3 + 3)*(-2*y**2 + 2*y**2 - 2*y**2).
5*y**4 + 3*y**2 - 2*y
Expand 2176 - 4350 - 3*n**5 + 62*n**4 + 2175 + (2*n**2 - 5*n**2 + n**2)*(-n**3 + 5*n**3 - 2*n**3).
-7*n**5 + 62*n**4 + 1
Expand (-1 - 1 + 5)*(2 + 0 - 1)*(-21 - 12 - 10)*(-p**3 + 0*p**3 + 0*p**3).
129*p**3
Expand (14*m - m**2 + 2 - 5*m - 40*m)*(5*m + 2*m + 0*m).
-7*m**3 - 217*m**2 + 14*m
Expand (4*k - 6*k + k + (2*k - k + 4*k)*(2 - 2 + 3))*(4*k - 6*k - 2*k)*(-4 + 0 + 2).
112*k**2
Expand (4 - 2 + 0)*(-2*g - 1 + 1)*(1600 - 819 - 4689).
15632*g
Expand (-3 + 5 + 4)*(0 + 2 - 3)*(0*s + 0*s + s**2).
-6*s**2
Expand (-l + 4*l + 0*l)*(32*l**4 + 3*l**4 + 3*l**4).
114*l**5
Expand ((0 - 2 + 3)*(0 - 1 + 0) - 5 + 3 + 1)*(6130 + 279*w**5 - 6130).
-558*w**5
Expand (0 + 1 + 3)*(1 + 0 + 1)*(-3 + 4 + 0)*(0*h + 3*h - 5*h).
-16*h
Expand (-4 + 4 - v - 4)*(-10 - 1 - 67*v + 11).
67*v**2 + 268*v
Expand (36*u + 15*u**2 - 36*u)*(-3*u + u + 0*u) + (u**3 - 2*u**3 - u**3)*(6 - 4 + 0).
-34*u**3
Expand -g**5 + 0*g + 0*g + 3*g**5 - g**5 - 4*g**5 + (2*g**2 - 4*g**2 + 3*g**2)*(-5*g**2 + 5*g**2 - g**3) + 0 + 2*g**5 + 0 - 1642*g**3 + 1642*g**3 - 57*g**5.
-59*g**5
Expand -3*r**4 + 0*r**4 - 14*r**4 + (-5*r**2 + r**2 + 3*r**2)*(-4*r**2 - 2*r**2 + 4*r**2).
-15*r**4
Expand (-4*u**2 - 2*u + 2*u)*((0 + 0 + u)*(4 - 1 - 1) - 61 + 5*u + 61).
-28*u**3
Expand (722*d**2 - 50*d**3 - 722*d**2)*(1 - 4 - 1)*(1 - 1 + d).
200*d**4
Expand (3*a**4 - 3*a**3 + 3*a**3)*(2*a + 5*a - a)*((5 - 2 - 1)*(0 + 1 - 2) + 1 - 6 + 4).
-54*a**5
Expand (-r + 3*r + 0*r)*(-3*r + 4*r - 3*r) - 3*r**2 + 0*r**2 + r**2 - 3*r**2 + 6*r**2 - 4*r**2 + 2*r**2 - 3*r**2 + 0*r**2 + 3*r - 879*r**2 + 918*r**2 - 4*r.
31*r**2 - r
Expand (-3*a - a + a)*(1 - 2 + 2) - 59 + 20*a + 59.
17*a
Expand (b + 7*b - 3*b)*(-2 + b**4 - 4*b**4 + 2*b**4).
-5*b**5 - 10*b
Expand (-1 + 1 - 4*k)*(2 - 2 - 2) + (0 - 4 + 2)*(-3*k + 3*k + 5*k).
-2*k
Expand (-2*j - j + 2*j + (5 - 2 - 1)*(j + 2 - 2) - 2*j - j + 4*j + j + 3*j - 5*j)*((1 - 1 - 2*j)*(-3 + 7 + 12) - j - j + 5*j).
-29*j**2
Expand -4*k**3 + k**2 - k**2 + (116*k**2 + 6*k**2 + 28*k**2)*(-5 + 5 - 2*k).
-304*k**3
Expand (-10*u + 2*u - 7*u)*(-8 - 4*u + 8)*(0 + 0 - 2).
-120*u**2
Expand (151 - 58*h**2 - 151)*(5*h + 0*h - 4*h).
-58*h**3
Expand (-t**2 + 0*t + 0*t)*(-14 - 10*t**2 + 15 - 280*t**2).
290*t**4 - t**2
Expand 0*k**5 - k**5 + k**4 + 3*k**5 - k**5 - 3 + 3 + (79*k + 57*k - 44*k)*(-k**4 + k**4 + 2*k**4).
185*k**5 + k**4
Expand ( | {
"pile_set_name": "DM Mathematics"
} |
43 = -3*i. What is the tens digit of a?
1
Let t be -2*(-3)/18*3. Suppose v - 2 = -t. What is the units digit of v?
1
Suppose -87 = -g - 4*b - 9, -3*g + 4*b + 298 = 0. What is the tens digit of g?
9
Suppose 5*x - 2*x = 141. What is the tens digit of x?
4
Suppose y + 2*y + 15 = 4*l, -11 = -2*l + 5*y. Suppose -3*f + 7*f - 92 = -3*w, -3*w + 72 = l*f. What is the units digit of f?
0
Let m = 62 + -50. What is the tens digit of m?
1
Let p(f) = -f**2 + f + 1. Let t(m) = 3*m**2 + 3*m - 1. Let s(g) = 2*p(g) + t(g). Let l be s(-4). What is the units digit of 1*l*(-3 - -1)?
6
Suppose -6 = 3*t - 5*f, -3*f - 18 = -2*t - 7*f. Suppose -4*a + 464 = 2*b, -1090 = -8*b + t*b + 4*a. What is the units digit of b/27 - (-4)/(-18)?
8
Let x = 25 + -8. Let m = x - 3. What is the units digit of m?
4
Let r(n) = 2*n**2 + 2*n - 2. Let p be r(-2). Suppose a = p*a - 4. What is the units digit of a?
4
What is the units digit of 300/(-45)*(1 + -2)*15?
0
Suppose 0 = -5*g - 2*b - 25, 3*b = 4*g + 5*b + 20. Let y(q) = q**3 + 5*q**2 - 6*q - 7. What is the units digit of y(g)?
3
Suppose h + 3*h = 20. Suppose h*w - c - 253 = 0, -2*w = -0*w + 5*c - 112. What is the tens digit of w?
5
Suppose 5*s - 31 = -4*b - 0, -3 = -s. Suppose 0 = -2*w + 3*w. What is the units digit of 2 - (1 - b - w)?
5
Suppose -5*f - y + 1821 = 0, 28*y = 4*f + 27*y - 1455. What is the hundreds digit of f?
3
Let v be -8 + 6/(-9)*-3. Let n(f) = 2*f. Let t(b) = -b - 1. Let y(h) = n(h) + 4*t(h). What is the units digit of y(v)?
8
What is the hundreds digit of (-1055)/(-2)*-12*(-8)/120?
4
Let g be (1 + -3)*6/(-4). Suppose c - g = 2*t, -3*t = c - 0*t + 2. What is the units digit of c?
1
Let k(s) = 2*s + 5. Let z(p) = 2*p + 4. Let f(x) = 5*k(x) - 6*z(x). What is the units digit of f(-4)?
9
Suppose 0*w + w = -12. Let i = w - -18. What is the units digit of i?
6
Let v be (-860)/(-15) - 2/(-3). Let u = v + -25. What is the tens digit of u?
3
Suppose -r - 4*r + 300 = 0. Suppose 3*p = y + 47, 3*y = 4*p - 1 - r. What is the units digit of p/3 + 3/(-9)?
5
Let i = 18 - 3. Suppose i = f - 17. What is the tens digit of f?
3
Suppose 0 = 5*u + 6 - 36. What is the units digit of u/(-9) - 154/(-6)?
5
Let a(p) be the second derivative of p**4/12 - p**3/2 + 3*p**2/2 + 4*p. What is the tens digit of a(-3)?
2
Let v(h) = 10*h**3 - h**2 - 2*h + 3. Let y be v(2). Suppose 3*i - y = -z, -i + 5*z = -0*z - 9. What is the units digit of i?
4
Suppose 0 = 2*a - p + 6, 2*a = 3*p + 2 - 16. Let b be (1*-9 + 2)*a. Let g(k) = k + 2. What is the units digit of g(b)?
9
Suppose 10*n - 5814 = -8*n. What is the hundreds digit of n?
3
Let b = 52 - 22. Suppose 5*s = 5*m - b, -3*s = -4*m - 7 + 27. Let t = s + 10. What is the units digit of t?
6
Let i be (-3 - (-18)/4)*38. Suppose 5*s - 12 = n - i, 0 = -s. What is the units digit of (1 - -1)/(10/n)?
9
Suppose 336 = 13*o - 10*o. What is the units digit of o?
2
Let s = -40 - -16. Let w = -5 - s. What is the units digit of w?
9
Let b(z) = -z + 4. What is the tens digit of b(-8)?
1
Suppose s + 0*s = 1. Let m(d) = -4*d - s + d**3 - 2*d**3 + 6*d**2 + 0. What is the units digit of m(5)?
4
Suppose 2*z + 5 = 17. Let t be 4/z - (-20)/6. Suppose 3*d - 4 = -4*i, i = -3*i - 4*d + t. What is the units digit of i?
1
Let u be 3 + (6 - (-7 + 4)). Let i be 0/(-3) - (-31 + -1). What is the tens digit of i/3 + 4/u?
1
Suppose -5*n + 28 = 4*a, 3*a - 18 - 3 = 2*n. Let w(r) = -a*r**3 + 6*r**3 + 4 - 13 - 9*r**2 - 10*r. What is the units digit of w(-8)?
7
Let x(d) = 3*d + 2. Let s = -3 - 0. Let h be x(s). What is the units digit of (-16)/h + (-6)/21?
2
Let a be (-4)/(-10) - (-260)/(-25). What is the units digit of 132/a*10/(-3)?
4
Suppose -5*c = z - 60, 0*c - 4*c = -2*z - 34. Let f = c + 29. What is the units digit of f?
0
Let z(j) = -10 - 11*j + 7*j + 3*j + 0. Let v be z(-12). What is the units digit of (v*-2)/2 + 10?
8
Let h = 25 - 13. What is the units digit of (-4)/(h/19)*-3?
9
Let u(b) = b - 5. Let v be u(7). Let x(g) = -g**3 + 2*g**2 + 2*g - 3. What is the units digit of x(v)?
1
What is the units digit of (-138)/9*(-6)/4?
3
Let r = -16 - -10. Suppose -6*v + 10*v = -16. Let s = v - r. What is the units digit of s?
2
Let m(x) = -x - 2. Let b be ((-18)/(-21))/((-2)/14). Let t be m(b). Suppose -t*d + 20 = 0, 0 = -4*v - 3*d - 0*d + 39. What is the units digit of v?
6
Let l = -12 - -18. Let d(w) = -w**3 + 7*w**2 - 4*w. Let u be d(l). Suppose 5*s + 4 = -4*c, -3*s = -c - s + u. What is the units digit of c?
4
Let s be (2 + 2)/2 + 128. Suppose s - 45 = 5*h. What is the units digit of h?
7
What is the units digit of (((-276)/15)/2)/((-1)/5)?
6
Let k(z) = 6*z - 3. Let m be k(6). Let h = m + -5. Suppose 2*q - h = -0*q. What is the tens digit of q?
1
Suppose 0 = -2*x + 4 - 0. Let o be 24/x + (-2 - -1). What is the tens digit of -1*o/1*-1?
1
Suppose -2*j + 9 + 11 = 0. What is the units digit of (-4)/j - (-114)/10?
1
Let k(g) = g**3 - g + 1. Let m = 9 - 4. Suppose 0 = m*b - b. What is the units digit of k(b)?
1
Suppose 0 = 4*u + 3*n - 69, -2 = n + 3. What is the tens digit of u?
2
Let o = 5 + 0. Suppose o*r = 3*q + 62 + 51, 104 = 4*r + q. What is the units digit of r?
5
Let z(c) = 0 + 3*c - 28*c - 5 + 0. What is the tens digit of z(-2)?
4
Suppose 4*b - 3*i = -1, 5*b - 13 = -4*i + 3*i. What is the units digit of 6 + 0 + b - 3?
5
Let y(c) be the third derivative of -c**4/6 - 5*c**3/3 - 2*c**2. What is the tens digit of y(-7)?
1
Let z(f) = -4*f. Let q be z(-1). Suppose -13 = q*t + 15. Let l = t - -11. What is the units digit of l?
4
Suppose 20 = -4*p, -p - 225 = -4*w - 16. What is the units digit of w?
1
Let p be (-101)/(-4) - (-48)/64. Let q = p + -10. What is the tens digit of q?
1
Let r(c) = -c + 6. Let f be r(6). Suppose 3*x - 18 - 6 = f. What is the units digit of x?
8
Suppose 12 = -x + 2*x + 2*q, -2*q + 28 = 3*x. Let w(r) = -x*r + 0 + 1 + r. What is the units digit of w(-1)?
8
Suppose -24 = 2*f + 5*n - 177, f = 5*n + 54. What is the tens digit of f?
6
Let r = 11 - 11. Suppose -2*q + 5*q - 12 = r. What is the units digit of q?
4
Let i = -72 - -142. What is the tens digit of i?
7
Suppose 0 = 3*j - 5*j + 4*g + 40, 0 = -3*j + 3*g + 66. What is the units digit of j?
4
Let x(g) = 6*g - 3. Let r(u) = -4*u + 2. Let v(a) = 7*r(a) + 5*x(a). Let f(o) = -o**2 + 1. Let z be f(0). What is the units digit of v(z)?
1
Let t be 2 - (3 - 11 - -2). Let r = -3 + 6. What is the units digit of r/(1 + (-2)/t)?
4
Suppose 61 = -5*w + 156. Suppose 0*s - 47 = 3*v - s, 3*s = -v - w. Let u = 30 + v. What is the units digit of u?
4
Suppose 0 = -2*l - 10, -l - 170 = -3*a - 3*l. What is the units digit of a?
0
Suppose -3*u = -9, 17 - 44 = -2*c - 5*u. Let t = c - 1. Suppose -t*f + 4*x + 35 = -0, 21 = 3*f - 3*x. What is the units digit of f?
7
Let i be (0 - -2)*(-14)/(-4). Let u(v) = i*v**2 + 2 - v**3 - 3 - 4*v**2. What is the units digit of u(1)?
1
Let a(r) be the second derivative of -3/2*r**2 + r + 0*r**3 + 0 + 1/12*r**4. What is the units digit of a(-3)?
6
Let s be (-9)/6*(-8)/6. Let c be (-3)/s*24/(-18). Suppose -9 = -3*o, -3*v = -v - c*o - 10. What is the units digit of v?
8
Let o = 8 + -4. Suppose 2*t + 12 = 5*t - 3*b, -o*b + 40 = 4*t. Suppose -5*w + 5*v + 55 = 0, 4*w = t*w - 4*v - 28. What is the tens digit of w?
1
Let q(o) = -3*o**3 - 3*o**2 - o - 1. What is the hundreds digit of q(-4)?
1
Let t be (-1)/2 - 205/(-10). Suppose 6*x - t = x. What is the units digit of x?
4
Let f = 4 - 7. What is the units digit of f/(3/2*-1)?
2
Suppose -16 = -5*t - 3*r, -r + 7 = 3*t - 1. Suppose 0*z + 29 = 5*u - z, 26 = t*u - 4*z. What is the units digit of u?
5
Suppose 0*y - 150 = -5*y. Let u = y + -12. What is the tens digit of u?
1
Suppose -4*w + 7 = -3*w. Let z(h) = h - 3. Let b be z(4). Suppose -b = 3*o - w. What is the units digit of o?
2
Suppose 4*i = 5*x + 81, 0 = -2*i + x - 4*x + 13. What is the tens digit of i?
1
Let v(q) = -q**2 - 7*q - 5. Let y be v(-5). Suppose -3 = y*o - 8. What is the units digit of o?
1
Suppose 4*d + 3 = 11. Suppose j + d*j = 93. What is the tens digit of j?
3
What is the units digit of 112 - 7/(7/(-3))?
5
Let i(q) = 27*q**2 + 5*q + 6. What is the hundreds digit of i(-2)?
1
Suppose -2*w - 2*w = -132. What is the tens digit of w?
3
Let v = -126 - -262. Suppose -z = -5*i - 18, -2*z - 3*z = -2*i - v. Let q = -18 + z. What is the tens digit of q?
1
Suppose | {
"pile_set_name": "DM Mathematics"
} |
5 + 575 + 24*q)*(q + q - 3*q) + 4 + 2*q**2 - 135*q - 128*q + 231*q to the form j*q + g*q**2 + d and give j.
-32
Rearrange (a - 2*a + 4*a)*(92 + 5*a**3 - 92) + (19 + 53 + 40)*(-2*a**4 + 3*a**4 + a**4) to the form z + o*a + b*a**3 + m*a**2 + g*a**4 and give g.
239
Express -17*i**3 - 1032*i + 509*i + 478*i + (-2*i**2 + 1 - 1)*(0*i - 2*i + 3*i) - 2*i**3 - 3*i**3 + 4*i**3 in the form h*i + g*i**2 + b*i**3 + z and give b.
-20
Express -4*i**4 + 6*i**3 + 3*i**4 - 6*i**3 + 2*i**2 + 4*i**4 + 1 - 5*i as g*i**4 + z*i**3 + t*i**2 + c*i + o and give o.
1
Rearrange (k + 4*k - 7*k)*(825 - 457 - 444) to x + v*k and give v.
152
Express (-2*b - 2*b + 2*b)*(-4 - 2 + 5 + (-4 + 0 + 0)*(11 + 6 - 7))*(2 + 3 - 2)*(4 - 3*b - 4) in the form h*b + n*b**2 + a and give a.
0
Express 1185*d**2 - 625*d**2 - 554*d**2 + 60*d as u*d + f + r*d**2 and give r.
6
Express -9*x - 599 + 54*x - 14*x - 22*x - 5*x as y*x + i and give i.
-599
Express (4182*g**2 + 3*g - 5473*g**2 - 1802*g**2)*(g + 3 + 2*g - 4*g) in the form z*g + o*g**2 + c*g**3 + q and give q.
0
Express (3*l - 4*l + 3*l)*(3*l - l + 468 - 2516) in the form v + x*l**2 + r*l and give r.
-4096
Rearrange (o + 0*o - 2*o)*((-3 - 3 + 1)*(22 - 11 - 6) + 3 - 3 + 2 + (-6 + 2 + 3)*(6 - 2 - 2)) to x + z*o and give z.
25
Express -3 + 3 - 3*t + (2*t - 3 + 3)*(3 - 1 - 5) + (-5 - 1 + 0)*(-4*t - 3*t + 3*t) in the form c + o*t and give o.
15
Rearrange 605*l - 1387*l + 645*l - 5 to t + r*l and give r.
-137
Express (0*i - 4*i**3 + 0*i)*(-2 + 2*i + 2) + (-5 + 5 - 8*i)*(-2240*i**2 + 96*i**3 + 2240*i**2) as z*i + o*i**3 + f*i**2 + l*i**4 + k and give l.
-776
Express -117 - 14*s**2 - 128 - 163*s**3 + 162*s**3 in the form d*s**2 + a + g*s + j*s**3 and give j.
-1
Rearrange 556*f - 1718*f - 188541*f**4 + 2 + 188540*f**4 to u + j*f + r*f**4 + w*f**3 + q*f**2 and give r.
-1
Rearrange -10*l**2 + 290*l**4 - l**2 - 5 - 141*l**4 - 148*l**4 to u + r*l**3 + s*l**4 + t*l**2 + y*l and give t.
-11
Express 1276*y - 286*y - 322*y + 545*y + 1322*y as g*y + u and give g.
2535
Rearrange 5 - 15 + g - 8*g**2 - 50 + 13*g**2 to o*g**2 + f*g + x and give f.
1
Rearrange -1 + 9 + 2039*i**2 - 1869*i**2 to the form o + g*i**2 + x*i and give g.
170
Express (35 - 35 + 77*c)*(10*c - c + 14*c) in the form g*c**2 + x*c + k and give g.
1771
Express -336*f**2 - 1064*f**2 - 1134*f**2 - 1852*f**2 as a*f**2 + j + b*f and give a.
-4386
Rearrange 195*h**2 + 1196*h**4 - 2387*h**4 + h**3 - 3 + 1 + h + 1192*h**4 to v*h**4 + u + j*h**2 + p*h + t*h**3 and give t.
1
Rearrange 3*c + 12 - 7*c + 2660397*c**2 - 2660389*c**2 + (2*c - 2 + 2)*(2*c + c - 4*c) to t + f*c + z*c**2 and give f.
-4
Rearrange (3 - 3 + y)*(-8 + 32698*y + 3 + 5 - 70265*y) to b*y**2 + a + j*y and give b.
-37567
Rearrange 107*r**3 + 194*r**3 + 2*r**2 - 300*r**3 - 479 to z*r + i*r**2 + l + a*r**3 and give i.
2
Express (-447160*x - 13439*x**2 + 447160*x)*(2 + 4 - 4) as l + u*x + v*x**2 and give v.
-26878
Express 1585*h**2 + 5617*h**2 + 7033*h**2 - 1337*h**2 in the form s*h + l*h**2 + r and give l.
12898
Express -86*s - 142*s + 48*s + (-s - 5*s + 4*s)*(10 - 7 - 4) in the form d + o*s and give o.
-178
Rearrange (5 - 5 - 5*u)*(392*u**2 - 198*u**2 + 51 - 202*u**2) to j*u**2 + n*u**3 + i + c*u and give n.
40
Rearrange (-1 + 1 - 13)*(4 + 4 - 1)*(0 - 5 + 4*v + 1) to d*v + x and give d.
-364
Express 0*y**2 + 3063022*y - 3063024*y - 2*y**2 - 18 in the form h*y**2 + f*y + r and give h.
-2
Express (6 - 6 + 2*b)*(-2 + 2 - 1)*(-532 + 532 + 29*b**3) in the form k*b**3 + g*b**4 + a + q*b**2 + z*b and give g.
-58
Rearrange 44048*p - 66 - 88058*p + 44055*p to k + x*p and give k.
-66
Rearrange -4*f**2 - 37*f**3 + 21953*f - 43895*f - 9*f**3 + 21943*f + 7 to the form s*f + i + t*f**2 + h*f**3 and give h.
-46
Express -107*l**2 - 44*l**2 + 262*l**2 in the form j*l + c + x*l**2 and give x.
111
Express (5*t - 2*t - t)*(4 + 2*t - 4 - 1 + 1 + 2*t + 2*t + 0*t - 6*t + (-2*t + 2*t - t)*(-1 + 1 + 3)) as j*t**2 + c + z*t and give j.
-6
Express (223*m + 30*m - 68*m)*(1 - 4 - 2) in the form z + x*m and give x.
-925
Rearrange (-445 + 3324 + 797 + 621)*(3 + i - 3)*((1 - 2 + 2)*(-4 - 1 + 3) - 3 - 2 + 6) to the form n + u*i and give u.
-4297
Express -95*n + 193*n - 76*n - 4*n**2 + 3*n**2 + 10*n**4 - 2*n**3 as q + b*n**4 + a*n + k*n**3 + j*n**2 and give a.
22
Rearrange (-63*p**4 + 0*p**4 + 26*p**4)*((0 + 0 - 2)*(10 + 11 + 4) + 0 - 3 + 0) to the form k*p**3 + t*p + j + n*p**2 + u*p**4 and give u.
1961
Express -1438*k + 240*k + 596*k - 1652*k - 381*k in the form i + b*k and give b.
-2635
Express 5636*v + 108*v + 6043*v + 1680*v as w*v + g and give w.
13467
Express 3 + 2*d + 1927356*d**2 + 20*d**4 - 2*d - 1927364*d**2 as h*d**2 + m*d**3 + r + y*d**4 + l*d and give h.
-8
Rearrange -t**2 + t**2 - 2*t**3 + (-5 + t**2 + 5 - t)*(-11534*t + 30466243 - 30466243) to b + f*t**3 + c*t**2 + q*t and give f.
-11536
Rearrange -3*a**4 + 269*a**2 - 2*a - 441*a**2 + 210*a**2 - 3 to the form l + s*a + y*a**4 + z*a**2 + b*a**3 and give y.
-3
Express (570408 - 570408 - 569*y)*(2 - 6 + 0) + (y + y - y)*(-1 + 5 - 3) in the form g*y + k and give g.
2277
Express -4 + 5 + 28*c**2 - 13*c**2 - 21*c - 18*c**2 - 8*c**4 in the form m*c + d*c**2 + z*c**3 + g + b*c**4 and give m.
-21
Rearrange -18632*p + 26 + 9 - 32 - 3 to the form t + w*p and give w.
-18632
Express (11*w - 13*w + 3*w**3 - 9*w**2 + 0*w**3)*(2 + 3 - 1)*(6*w - 91*w - 45*w) in the form p*w**4 + l*w + v*w**3 + j + d*w**2 and give p.
-1560
Rearrange (20*n**3 + 22*n**3 + 13*n**3)*(430 + 265 - 316) to the form f*n**2 + r*n**3 + t*n + v and give r.
20845
Express -357 - 121 - 2*m - 754*m**2 + 756*m**2 - m in the form r*m**2 + u + w*m and give w.
-3
Rearrange (236 + 14*a - 236)*(-224 - 106 - 189 - 91) to u*a + j and give u.
-8540
Express 0*r**4 - 13952*r**3 + r + 1156 - r + 2*r**4 + 13954*r**3 + 2*r + r**2 as o*r**3 + c*r**2 + v*r + b*r**4 + t and give b.
2
Rearrange -195*j**3 - 224*j**3 + j**2 - 212*j**3 + 4*j**4 - 2*j + 797*j**3 - 2 - 210*j**3 to b*j**4 + y*j**3 + n*j + a + o*j**2 and give n.
-2
Express 224 + 3394*x - 109 - 113 as l*x + n and give l.
3394
Express -12*b - 11*b - 2*b - 8*b + 288*b**2 + 7*b + 1 in the form x*b + m*b**2 + l and give m.
288
Express 697 + 340*t - 754 - 236*t as l*t + g and give l.
104
Express -156*r**2 + 76*r**2 - r + 56*r**2 + 22 - 18 as m*r + n*r**2 + y and give y.
4
Express 190448*q - 92966*q - 93890*q as c*q + o and give o.
0
Express (-2661 - 1700 + 2409 + 5451 + 3385 + 8067)*(5 - 5 - 4*h**3) in the form y*h**2 + u*h**3 + b + p*h and give u.
-59804
Rearrange -86*q**4 + 36*q**4 + 22*q**4 + 15*q**4 + 172*q + 16*q**4 + 7 to i*q**3 + o + k*q**4 + v*q**2 + r*q and give k.
3
Express 16 - 26682*a + 11835*a - 16 as i*a + o and give i.
-14847
Rearrange -9539*g + 23765*g + 26750*g to w + p*g and give p.
40976
Rearrange -4 + 4 - 2*j - 160*j + 1025791 - 1025791 + (3 + 0 - 4)*(1 + j - 1) to the form f + h*j and give h.
-163
Express 128*d**2 - 39*d**3 + 123*d**3 + 4 - 43*d**3 - 5 - 42*d**3 in the form b*d**3 + c*d + f*d**2 + o and give o.
-1
Express -21*p**2 + p**3 - 4*p - 612 + 1217 - 607 + p in the form x*p**2 + d*p**3 + w*p + y and give d.
1
Express -1 - 27*c**3 + 2*c + 47*c**3 + 139*c**2 - 6*c - 140*c**2 in the form h*c**3 + p*c + w*c**2 + f and give w.
-1
Express 28628 - 227*c - 57260 + 28627 - 1059*c as y + q*c and give y.
-5
Rearrange -r + 28143*r**3 + 3 + 4*r**2 - 28133*r**3 + 0*r**2 to the form c*r**3 + n*r + y*r**2 + f and give n.
-1
Express -z - z**3 + 587*z**4 + 135 - z - 589*z**4 + 9*z**2 - 80 as f + r*z**4 + s*z + h*z**3 + d*z**2 and give s.
-2
Rearrange 469 + 3*q**2 + 478 - 1427 + 478 + 141*q**4 to w*q + b*q**2 + a + o*q**4 + v*q**3 and give o.
141
Express 41*f**2 - 25*f**4 - 41*f**2 + (2*f + 242 - 242)*(0*f**2 + 0*f**2 + f**3) as u*f**4 + z*f + m + d*f**3 + i*f**2 and give u.
-23
Rearrange -316 - 4*q + 160 + q**3 + 4*q**2 + 155 + 23*q**2 + 3*q to the form m*q**2 + b*q + r*q**3 + z and give z.
-1
Rearrange (o + 3*o - 6*o)*(o**2 - 3*o + 3*o) + (-4 + 14 + 28)*(-3*o - 2*o - 5*o)*(0 + o**2 + 0) to the form q*o**3 + y*o + h + i*o**2 and give q.
-382
Rearrange -2*q - 17 + 20*q**2 + 2*q - 5*q + 2*q - 18*q**2 + 34*q**3 to the form d*q + o + a*q**3 + v*q**2 and give d.
-3
Rearrange -102*j + 306*j - 104*j + 1 - 100*j + 2548*j**3 to y*j**3 + p*j**2 + x + o*j and give y.
2548
Express (-4*q**3 + 2*q**3 + 2*q**2 + 11* | {
"pile_set_name": "DM Mathematics"
} |
= -x - 13. Let a be h(-6). Let g(f) = -f**2 - 7*f - 3. Let w be g(a). Let r = w - -6. Give c(r).
-4
Let t(l) = -l**3 - 5*l**2 - 2*l + 3. Let f(a) = -11*a**2 - a**3 - 3 - 3*a**2 - a**2 + 6*a**2. Let n be f(-9). What is t(n)?
-9
Let b(d) = d**2 - 8*d + 6. Let j(w) = -2*w**2 + 7*w - 5. Let q(t) = -t**2 - 10*t - 10. Let p be q(-8). Let k(n) = p*b(n) + 7*j(n). Determine k(-1).
-8
Let i(z) be the first derivative of z**2 + 2*z + 8. What is i(-2)?
-2
Suppose 2*b - 9 = -b. Let r = b + 2. Let v(o) = o**3 - 4*o**2 - 5*o - 4. Give v(r).
-4
Let b(z) = 1 + 5 + z - 2. Let a be b(-2). Let h(x) = -x - 4*x - 2 - 3*x**a + 2*x**2. What is h(-4)?
2
Let k = 56 + -52. Let j(w) = w**3 - 3*w**2 - 3*w + 2. What is j(k)?
6
Let o(j) be the second derivative of -j**4/6 + 7*j**3/6 - 3*j**2 - 8*j. Calculate o(4).
-10
Let c(u) = -u. Let o be c(2). Let v(j) = j**3 + 4*j**2 + 3*j. Let b(x) = -2*x**3 - 8*x**2 - 6*x + 1. Let d(m) = 3*b(m) + 7*v(m). Give d(o).
5
Let v(t) = -4*t**2 - 3*t + 6. Let f(b) = -5*b**2 - 2*b + 7. Let x(i) = 3*f(i) - 4*v(i). Calculate x(-5).
-8
Let u be ((-6)/3)/(-1) - 6. Let s(f) = f + f - 3 - 4*f. Determine s(u).
5
Let i(z) be the third derivative of 0 - 1/24*z**6 + z**2 + 0*z + 1/60*z**5 + 1/12*z**4 + 1/6*z**3. Let d be i(-1). Let t(q) = -2*q. Determine t(d).
-10
Let x(y) be the first derivative of -12*y - 1/2*y**2 - 3. Let k = 9 + -14. Determine x(k).
-7
Let c(q) = -q. Let i be c(2). Let z(n) = 8*n**2 + 17*n + 8. Let j(t) = t**2 + 2*t + 1. Let g(k) = 18*j(k) - 2*z(k). Calculate g(i).
6
Let j(i) be the second derivative of -i**3/6 + i**2/2 - i. Let p(s) = -4*s + 4. Let d(v) = -3*j(v) + p(v). Determine d(3).
-2
Let c(q) = -2 + q + 2 - 4 + 1. What is c(5)?
2
Let k(s) = 17*s**3 - 3*s**2 + 3*s**2 - 16*s**3 + s**2 - 6. What is k(0)?
-6
Suppose -n = -4*n. Let f(a) = a + 13. Let p(m) = -3*m - 5*m - 12 + 7*m. Let j(g) = 5*f(g) + 6*p(g). Determine j(n).
-7
Let i(g) = 5*g**2 + 9*g + 5. Let k(a) = a**2 + a + 1. Let h(j) = i(j) - 4*k(j). What is h(-4)?
-3
Let k(i) = -i**2 - 16*i. Let r(u) = 3*u**2 + 46*u - 1. Let p(b) = -17*k(b) - 6*r(b). Calculate p(-6).
-6
Let p(j) be the third derivative of j**5/60 + j**4/24 - 2*j**2. Calculate p(-2).
2
Let y = -5 - -10. Suppose -5*d = 2*u + 3 + 2, 5*d + y = 2*u. Let w(a) = a + 9. Determine w(u).
9
Let z(l) be the second derivative of -l**4/12 - 5*l**3/6 + 6*l**2 + 4*l. Calculate z(-6).
6
Let p(h) = 2*h + 4. Let g(j) = j**2 - 7*j + 2. Let a be g(7). Suppose -a*f + 1 + 3 = 0. Let s = -6 + f. Give p(s).
-4
Let o(g) = 1 - g + 2*g - 3*g + 4. Let z = 3 - -2. What is o(z)?
-5
Let k(m) be the second derivative of -m**3/6 - m**2/2 + 5*m. Suppose -4*d + 4 = 3*z, 7*z - 2*z = -2*d - 12. Give k(z).
3
Let t(u) = 3*u + 10. Let o(d) = -2*d - 6. Let g(r) = 5*o(r) + 3*t(r). What is g(-4)?
4
Suppose -4*m + 0*q = 4*q, -2*m = 4*q - 2. Let u(p) = -p**3 + 5*p**2 - 5*p - 5. Let f(h) = -3*h**2 + 3*h + 3. Let a(g) = -7*f(g) - 4*u(g). Calculate a(m).
-3
Let a = 178 - 176. Let c(k) = -k - 5*k + 4*k + 2. Give c(a).
-2
Let v(m) = 2 + 2*m**2 - m**3 + 3*m - 3*m + 4*m. Suppose -q + 3*w = 2*w - 3, -5*q + 8 = 2*w. Let o = 0 - q. Determine v(o).
10
Let w(k) = -8*k**3 + k**2 + 5*k**3 + 13*k**3. Suppose -57*s + 56*s = 1. What is w(s)?
-9
Suppose -5*h + 11 = -9. Let p(g) = g - 2. Give p(h).
2
Let j(u) be the first derivative of -u**6/360 + u**5/40 + u**4/8 + u**3/3 + 1. Let p(x) be the third derivative of j(x). Give p(-2).
-7
Let x(m) be the second derivative of m**4/12 + m**3/2 + m**2/2 - 24*m. Calculate x(-3).
1
Suppose -y = -2*f, -8*f + 12 = -4*f + y. Let z(r) = r**2 + 2*r - 3. Give z(f).
5
Let f(o) = o**3 - 2*o**2 - o + 2. Let i be f(-2). Let d = 17 + i. Let x(a) = -a**2 + 4*a - 2. Determine x(d).
-7
Let r = 6 - 4. Let a(c) = 0*c**2 - 2 - 3*c - c**r - 4*c. Suppose 10*f - 119 + 179 = 0. Calculate a(f).
4
Let r(c) = 7*c - c**2 - 2 + 0*c**2 + 7. Let h be r(7). Let l(p) = -p**3 + 6*p**2 - 5*p + 5. What is l(h)?
5
Let b be -1 + 1/(0 - -1). Suppose -5*x - 7 - 13 = b. Let f(s) = -s**3 - 5*s**2 - 4*s - 6. Determine f(x).
-6
Let r(v) = v**2 - 6*v + 2. Suppose 0 + 9 = -y - 5*i, -3*y - 8 = -4*i. Let l be (4/(-6))/(y/30). Determine r(l).
-3
Let x(d) = d - 2. Let h be (-2 - 1) + 0 - -1. Give x(h).
-4
Let r(w) be the second derivative of -1/20*w**5 + 0 - 1/2*w**3 + 0*w**2 - 5*w - 1/4*w**4. Determine r(-3).
9
Suppose 5*n = -0*n. Suppose n = 2*g - g + 5. Let p(i) = -i**3 - 4*i**2 + 6*i. Give p(g).
-5
Let v(x) = -14*x**3 + 3*x + 13*x**3 + 5*x**2 + 2*x**3. Give v(-2).
6
Let b(p) = -2*p + 5. Let q = 21 + -26. Determine b(q).
15
Let k(b) = -3*b + 2. Let y(l) = -2*l + 2. Let t(g) = 5*k(g) - 6*y(g). Let o = 3 + -5. Calculate t(o).
4
Let h(o) = -48*o**2 + 0*o + 28*o**2 + o**3 + 5 + 2*o + 24*o**2. Determine h(-4).
-3
Let l(g) = -2*g + 6. Let d be 3 + 3*2/(6 - 0). Give l(d).
-2
Let u(c) be the third derivative of 1/4*c**4 + 0*c + 0 + 1/60*c**5 + 7/6*c**3 + 2*c**2. Give u(-5).
2
Let c(q) = -2*q. Let p(a) = -a**2 + 6*a - 7. Let g be p(6). Let y(t) = t**3 + 8*t**2 + 5*t - 10. Let b be y(g). Calculate c(b).
-8
Suppose b + 3*b - 108 = -4*h, -75 = -3*b + 3*h. Suppose 0 = -3*n - 4*k - 20, 5*n - b + 1 = 5*k. Let u(v) = v**3 - v**2 + 8. Give u(n).
8
Let b(h) = -5*h - 8. Let u(r) = -10 - 7 - 3*r + 13. Let n = -6 - -12. Let l(s) = n*b(s) - 11*u(s). Determine l(3).
5
Suppose 4*h + 3*b + 13 = 4*b, -b = -2*h - 5. Let d be (h + 12)*(-1)/(-2). Let k(w) = 2*w + 4 - 3*w + 5. What is k(d)?
5
Let w(i) = i**3 - 2*i**2 - 5*i + 6. Let b(c) = c**3 - 30*c**2 + 56*c + 4. Let a be b(28). What is w(a)?
18
Let k be 2/5*15/(-3). Let h(x) = 2 + 2*x**2 - 4*x**2 - x**2. Determine h(k).
-10
Let h(i) = -3*i**2 + 8*i - 3. Let n(k) = k**2 - k - 1. Let w(d) = -h(d) - 4*n(d). Determine w(-6).
-5
Suppose 0 = -b + 3*b + 6. Let o(u) = -u + 1. Let s(g) = 5*g - 4. Let l(w) = 18*o(w) + 4*s(w). What is l(b)?
-4
Let w(t) be the first derivative of 1 + 5/3*t**3 + 0*t - 1/2*t**2. Suppose 0 = -0*v + 5*v - 2*k + 5, 0 = 5*k. Give w(v).
6
Suppose p - 8 = 3*i, 4*i = 5*p + i - 52. Suppose p = -3*t - 1. Let v(l) = 5*l + 8. Let y(n) = -14*n - 23. Let b(o) = -11*v(o) - 4*y(o). Determine b(t).
0
Let w(r) = -r - 3. Let y be w(-5). Let u(j) = 5 + y*j + 1 - j. Suppose 13*m - 25*m = 72. What is u(m)?
0
Suppose -3*r + 6*r = 9. Let k(y) = -y**3 + y**2 - 4*y - 1. Let j(w) = -w - 1. Let h(x) = 5*j(x) - k(x). What is h(r)?
11
Let q(i) = i**3 - 1 + i**2 - 2 + 4*i + 6. Let g = -8 + 6. Give q(g).
-9
Let b(m) be the second derivative of m**3/6 - m**2 - 12*m. Determine b(6).
4
Let n(j) be the third derivative of -j**4/12 - j**3/6 - j**2. Suppose 0 = -5*z - 4*h - 9, -6*h + 41 = -5*z - 2*h. Let y = z + 3. Calculate n(y).
3
Suppose 3*w + 6 = 3*r, -r + 3*r - 5*w = 10. Let p(c) = -c**3 - c**2 - 9. Determine p(r).
-9
Let m(p) = 2*p**2 - 6*p + 4. Let g(x) = -3*x**2 + 7*x - 5. Let s(z) = -3*g(z) - 4*m(z). Suppose 0 = 5*a - 17 - 13. Suppose 0 = a*b - 8*b - 6. Give s(b).
-1
Let c(t) be the first derivative of -t**4/2 - t**3/3 + 3*t**2/2 + t - 2. Calculate c(-2).
7
Suppose 4*t = -4*u + 3*t + 12, -2*t = 0. Let d = 5 + -3. Let y(o) = 3*o**d + 0*o - 1 - o + o**u - 4*o. Give y(-4).
3
Let c(b) = -b**3 - 4*b**2 + 3*b - 2. Let s(p) = p**3 + 4*p**2 - 2*p + 1. Let i be 3/(-12) + (-38)/8. Let q(u) = i*c(u) - 6*s(u). What is q(-3)?
4
Let g(i) = -3*i + 1. Let t = -5 - -13. Suppose 2 = 2*u + t. Determine g(u).
10
Let r(d) = 0*d**2 - d**2 + 10*d - 5 + 9. Give r(8).
20
Let v be 12 + -7 + (-3 - 1). Let z(i) = -4*i**2 + 3*i. Let c(j) = -92*j**2 + 68*j. Let o(g) = 6*c(g) - 136*z(g). Calculate o(v).
-8
Let i(g) = 2*g**3 + 7*g**2 - 2*g - 9. Let q(z) = 3*z**3 + 7*z**2 - z - 10. Let h(j) = 4*i(j) - 3*q(j). What is h(6)?
0
Let m be 3/(6/(-10)*-1). Let b(g) = -g**3 + 5*g**2 + 2*g - 7. Give b(m).
3
Let g(h) = -3*h**3 - h**2. Let l(i) = 2*i - 14. Let x be l(10). Let c be ((-2)/8)/(x/24). Give g(c).
2
Let o(q) = q**2 + q + 1. Let l(y) = 3*y**2 + 6*y - 4. Let p(t) = l(t) - 2*o(t). What is p(-6)?
6
Let d = 1 - 6. Let q be (d - -5)*1/3. Let j(v) = v**3 + v**2 + 4. What is j(q)?
4
Let v(i) = i + 11. Let x be (-8)/(-20) + (-64)/10. Let m be v(x). Let f(k) = -2*k + 6. Determine f(m).
-4
Let o(h) be the first derivative of 4*h**2 + h + 1. Suppose 7 = -j - 4*y, 3*j = -0*j - 5*y - 7. Calculate o(j).
9
Let g(t) = -3*t + 3. Let w be g(4). Let v be (-3)/9 - 39/w. Let h(y) = -y**2 - y + 2*y + 4*y - 1. | {
"pile_set_name": "DM Mathematics"
} |
y - 3*b + 0*b = 10 for y.
-2
Suppose -177 = -5*f + 4*n + 179, n = -4. Suppose -64*a + f*a = 64. Solve 2*y + 0*y = -4*h + a, -y - 7 = -h for y.
-2
Let p(l) = l**3 + 6. Let r be p(0). Suppose 35*c - r*c - 116 = 0. Solve 0 = 5*x - 5*n + 10, -c*x - n - n = -16 for x.
2
Let l be 5 - (6/(-21) - 37/(-7)). Let v be (l + 0)/((-1)/(-1)*1). Solve -4*d - 3*z + 16 = v, z - 6*z + 20 = 0 for d.
1
Let y be -12*2/(-56) - (8/(-14) + -3). Solve -4*z - 5 = a - 5*z, 5*a - 11 = -y*z for a.
-1
Suppose -153*s + 184*s - 186 = 0. Solve 2*v - 7*d + 5*d = 0, v = -5*d - s for v.
-1
Suppose 3*o + 15 = -t + 26, -3*o + 4*t = -31. Solve -5*m - 23 = 4*j, -o*m - 19 = 6*j - 4*j for m.
-3
Let o = -503 + 507. Let m be (-3)/2*20/(-3). Suppose h - m = -o*h. Solve -5*s + h*k - 15 = 0, -5*s + 0*k - 3*k - 40 = 0 for s.
-5
Suppose 0 = -26*g + 62 + 68. Solve -2*b - 10 = 5*c, -2*b + c + g = -3*b for b.
-5
Suppose 15*o - 38 = 22. Solve 4*q - 2*w = 12, -o*q + 0*q = -w - 14 for q.
4
Suppose -8*b + 3*b = -4*u - 265, -3*u = 5*b - 300. Let a be b/30 + 5*3/150. Solve 2*n + 15 = 6*n - 5*g, 5*g - 15 = -a*n for n.
5
Let p = -130 - -89. Let u = 44 + p. Suppose 0 = u*t, 4*t + 33 = 3*a - 0*t. Solve -2*f - 14 = -5*k + 2*f, -5*k + a = -f for k.
2
Suppose 573*v - 252 = 489*v. Solve -s + 15 = 4*x, 9*s + v*x - 15 = 7*s for s.
3
Suppose 0 = -2*s - 0*g + 5*g + 67, -43 = 2*s + 5*g. Suppose -3*d = -q, -5 = -2*q + q - 2*d. Solve -4*a = q*m - s*m + 5, -3*a = 3*m + 9 for m.
-1
Let d(z) = -2*z**3 - 44*z**2 - 18*z - 28. Let o be d(-22). Suppose -14*g - 88 = -o. Solve -2*f - 3*n - 1 = 0, -6*f = -4*f - 4*n - g for f.
4
Let q be 15/(-20) + 38/8. Suppose -q*l = -l. Let v(r) = r**2 - 10*r - 9. Let i be v(11). Solve l*m = i*m - 4*o + 30, 4*m + o = -15 for m.
-5
Suppose -5*z = -3*i + 42, z - 2 = 3*i - 20. Solve i*j = 3*p - 10, 2*j = 4*j - 4*p for j.
-4
Let t(b) = -b**2 + 1034*b. Let g be t(0). Solve -5*x - 28*o = -31*o - 6, g = -o - 2 for x.
0
Suppose 2*b + 12 = 8*b. Suppose b*r - 5*h = 43, -32 = 3*r - 4*h - 114. Let x = 36 - r. Solve 4*c = -3*m + 2*m + 1, -2 = -x*c - 2*m for c.
0
Suppose 5*y = l + 53, 73*l - 75*l = -3*y + 36. Solve -3*a - 5 = 2*c - y, 4*c = 5*a - 1 for a.
1
Let j = -2438 - -2442. Solve 2*l = 4*v + 6 + 2, j = 4*v + 4*l for v.
-1
Suppose 7*v = 2*v + 25. Suppose 3*m - v = 4. Suppose -5*s = -2*k - s - 8, -s = m*k - 9. Solve k = 3*c - x, 5*c - 3*x = 3*c + 6 for c.
0
Let d = 8 - 5. Let f = -132265 + 132268. Solve -d*p - i - 2 = 0, 0*p - f*i + 8 = -5*p for p.
-1
Let g be (-15)/(-3)*(-352)/(-110). Solve -5*f + g = 5*u + 1, 3*f = 4*u + 9 for u.
0
Let t(u) = -6*u - 16. Let m be t(-6). Suppose -c + m = -51. Suppose c - 350 = -9*f. Solve 5*p + 2*j = 0, f = -p + 5*j + 4 for p.
-2
Suppose 5*u = 3*u + 2*w + 12, -4*u = 2*w - 18. Solve -u*g - 4*h - 31 = 0, -6 = 2*h + 2 for g.
-3
Let t(b) = b**2 + 9*b - 2. Suppose -2*j + 50 = -7*j. Let x be t(j). Suppose -3*h + x = -37. Solve -5*p - 3*k + 7*k = -45, 2*p = k + h for p.
5
Let h be (-3 - -11) + (7 - -11). Suppose -165 = -h*y - 35. Solve 0 = -2*f + y*r + 27, -8 = 5*f + 5*r + 12 for f.
1
Let n(y) = 3*y - 8. Let a be n(7). Suppose 11*k = 6*k - 15. Let w be 15/(-45) + (-13)/k. Solve -w*f - a = -p, 0*p = 5*p + 3*f + 27 for p.
-3
Let s(m) be the first derivative of -m**3/3 + 3*m**2/2 + 44*m + 34. Let k be s(8). Solve 0*l + l + 1 = -t, -k*t = -l + 14 for l.
2
Let l = -5 - -8. Suppose -20*b + 892 = -5*b + 727. Solve 3*n - 9 = 0, b = u - l*u + 5*n for u.
2
Let g be -1 + 9*(55/(-15) - -4). Solve 4*j - 22 = m, 0*m + 4*j - 16 = -g*m for m.
-2
Suppose 0 = r - 3*p, -88 = 2*r - p - 93. Solve 35*h - 34*h - 5 = 4*x, -r*x = 3*h - 15 for h.
5
Suppose -4*w + 24 = -n, 5*n = w - 16 + 10. Solve n = -4*s + 4*b + 32, s - b - 23 = 3*b for s.
3
Suppose -3*a - 3*q = 2*a + 1, -4*a - 11 = -q. Let z be ((-8)/(-32))/(a/8). Let d be ((-18)/(-4))/z*(-26)/39. Solve 0 = o + 2*h - 3, 4*o + d*h = -0*h + 7 for o.
1
Let k = 22359 + -22356. Solve -20 = -3*c + 4*f, 2*c = k*f + 13 + 1 for c.
4
Let s(y) = y**2 - 3. Let f(x) = 4*x**2 + x - 14. Let v(g) = -2*f(g) + 11*s(g). Let z be v(3). Let u = -14 + z. Solve 8*l - 4*l = -3*j - 21, 9 = -u*j - l for j.
-3
Suppose -4*r - 187 = -151, 8*r = -5*v - 72. Solve v = -5*n - 5*p - 15, 5*p + 46 = 2*n + 59 for n.
-4
Let r be (0 - 1)*(-1 + 2). Suppose -2*l = -j + 6, 2*j = 3*l + 32 - 24. Let m be 3 - (j/r + -3). Solve 0 = 3*h - 3*p - 3, 0*p + m*p - 20 = -2*h for h.
4
Suppose -2*n - 3*l + 281 = 296, 10 = -2*n - 2*l. Solve n = 5*f + 3*a + 7, -2*f - 1 = -4*a + 7*a for f.
-2
Suppose 0 = 2*z - 3*s + 2, 30*s + 22 = 2*z + 33*s. Let x(q) = -q**3 + 3*q**2 - 1. Let w be x(2). Solve z*j + 22 = -4*b, 4*b = -4*j + w*j - 14 for j.
-2
Let j = -202 + 209. Let z(u) = -u**3 + 5*u**2 + 14*u + 4. Let y be z(j). Solve -i = y*l - 1, l - 4 - 20 = -5*i for i.
5
Let l(q) = -4*q - 28. Let v be l(-8). Let r be 14/35*(1/1 + v). Let j be 570/40 + (-1 - r)/12. Solve -j = p + 4*w, 4*p - 2*w = 1 - 3 for p.
-2
Suppose -1589 = 2*j + 3*z, 2*j - 27 = -5*z - 1606. Let t = j - -809. Solve t = 2*r + 2*y - 3, -3*r = -5*y - 7 for r.
4
Let c be 5/(715/26 - 25). Solve -c*f = 2*y - 4*f + 8, -21 = 5*y - 4*f for y.
-5
Let t be (-94)/(-3) + 5 + (-39)/9. Suppose t = 3*v - 28. Let g be ((-10)/4)/((-10)/v). Solve 4*n = -3*c - 13, c + 0*n = -g*n - 19 for c.
1
Let b be (3/21*2)/(7/49). Let o be -1*(b - 10/(-5)) + 19. Solve -j - y = y + 1, -3*j = -3*y - o for j.
3
Suppose -3*v + 4 = 4*c + 31, 3*v + 27 = -2*c. Let z = 105 + v. Let p = z - 93. Solve 20 = -0*s - 4*s, 0 = -2*b + p*s + 25 for b.
5
Let q(k) = 123*k + 740. Let j be q(-6). Solve -2*o - 4*y = -6*y - 2, -y = -4*o - j for o.
-1
Suppose -8 = -5*b + 342*w - 341*w, -14 = -4*b - 3*w. Solve -12*h - 4*x = -7*h - 40, -b*h = -4*x + 12 for h.
4
Let i = -1597 + 1599. Solve 0 = -5*p + 3*y - 11, -2*p = -0*y + 2*y - i for p.
-1
Let g be (20/(-70) + 246/(-21))*(-24)/72. Solve 5*y = g*z - 45, -8*y = 4*z - 3*y + 5 for z.
5
Suppose 77*t + 63 = 41*t + 45*t. Solve -4 = -4*i + 4, i = -n + t for n.
5
Let g(j) = j**3 + j**2 + 3*j - 3. Let v be g(2). Let n = 964 - 969. Let o be (0 - n) + (-10)/(20/6). Solve 0 = -4*u + 5*l - 5, -v = -4*u + o*l - l for u.
5
Let y(p) = -13 + 40 + 13 - 2*p. Let s be y(10). Let k = s + -20. Solve 2*c + k*b = -b - 1, 0 = 2*c - 2*b + 10 for c.
-2
Suppose 111*h - 21 - 534 = 0. Solve p = -3*l + 7, 8*p - h*p = -4*l + 6 for p.
-2
Let t = 26 - 21. Let v(p) = p**3 - 7*p**2 + 12*p - 5. Let i be v(t). Solve -4*r + 4*h = 1 - 5, 4*h = r + i for r.
3
Suppose 4*u = 16, 3*i + 5*u + 18 - 44 = 0. Suppose 0 = -o + 3, i*o - 19 = -10*j + 9*j. Solve -3*f = 3*g + 21, 5*g + 10 = -f - j for g.
-4
Let n(c) = -c**3 + 5*c**2 - 6*c + 2. Let o be n(3). Solve 2*s - 4 = 0, 0 = -k - o*s + 12 - 8 for k.
0
Suppose 0 = -396*t + 172*t + 448. Suppose -o + 4 = s, 4*s - 4*o = -9*o + 17. Solve s*x - 3 = -t*i - 5, -x = 3*i - 4 for x.
-2
Let q(w) = 4*w**2 - 11*w + 8. Let s be q(2). Suppose 0 = s*i - 374 + 366. Solve 0 = -i*a + 5*l + 35, -21 = -2*a + 2*l - 5 for a.
5
Let q(f) = 1781 + 0*f - 9*f + 2*f - 1944. Let j be q(-27). Solve 2*r = -5*a - j, 2*a - 7 + 3 = 4*r for r.
-3
Suppose 5*n - 3*i + 4 = 59, -n - 3*i = -11. Suppose 388 = -4*h - 3*t, -3*t = -5*h - 5*t - 485. Let d = 99 + h. Solve -2*b - n = 2*j - 3, -d*b + 27 = -5*j for b.
1
Suppose 291 + 129 = 70*d. Let y = -5 - -5. Suppose y*i = 2*i. Solve -a = -4*f - i*f + 7, 2*a + d = 0 for f.
1
Suppose -26*w - 141 = -245. Suppose 0*a - a = -w*n + 4, 2*n - 4 = 0. Solve t = -l - 1, -5*l + 0 = -a*t + 5 for t.
0
Suppose 68*o - 660 = 768. Solve -4*g = -3*h + 32, 0*g - g + 4*h - o = 0 for g.
-5
Suppose 18*y - 468 = -21*y. Suppose -20*c = -y*c - 16. Solve -5*o = -2*r + 10, -c*o - 5 = -8*r + 7*r for o.
0
Let l(h) be the second derivative of -h**5/20 - h**4/6 + 4*h**3/3 + 4*h**2 - 19*h. Let u be l(-3). Let c = u + 11. Solve 1 = w, -4*j - w - c = -5*w for j.
0
Let j(a) = a**3 - 14*a**2 + 16*a - 55. Let p be j(13). Let q be 2 + ((-2)/4)/(p/448). Solve 2*h + h = 2*y, -2*h = 4*y - q for y.
3
Suppose -3*h - 44*h = -104*h + 684. Solve q = 4*d + h - 29, -5*d = -2*q - 25 for q.
-5
Let s be (3 - 12/4)/(-1 - 0). Suppose s*d = -5*d + 10. Solve 4*g + 5 = -d*t - 5, t + 5*g + 11 = 0 for t.
-1
Let r be (-4 - -5 - -6) + -3. Let p(c) = -c**2 + 20. Let x(l) = -l - 9. Let w be x(-5). Let s be p(w). Solve 2*k - 3 = d, -s*k + 5*k = -r*d + 15 for d.
3
Let t = 28 + -1. Let k = 5 - t. Let m = k | {
"pile_set_name": "DM Mathematics"
} |
*t + 2*r*t wrt c?
-120*c*r + 6*c*t + 60*c
Find the second derivative of 5955*m**3 - 3443*m.
35730*m
Differentiate -218*h**2*p + 212*h**2 + p**3 - 1 wrt p.
-218*h**2 + 3*p**2
Find the third derivative of j**5 - 249*j**3 - 1630*j**2 wrt j.
60*j**2 - 1494
Find the first derivative of -3*s**3 + 224*s**2 - 5048.
-9*s**2 + 448*s
Find the third derivative of -3*c**3 - 14*c**2 - 5*c.
-18
What is the second derivative of 4*h**2*m**3*o**3 + 2223*h**2*m**3*o + 83*h*m**3 - 3*h*m**2*o**3 - 2*h*m**2*o wrt h?
8*m**3*o**3 + 4446*m**3*o
What is the second derivative of -3*q**2*y**4 - 883*q**2*y - 149*q*y**5 - 2*q*y wrt y?
-36*q**2*y**2 - 2980*q*y**3
What is the derivative of -z**4 + 1972*z**3 + 40?
-4*z**3 + 5916*z**2
What is the second derivative of -173*c**3 - 196*c?
-1038*c
What is the third derivative of 134*t**3 - 205*t**2 - 2*t?
804
Find the third derivative of 6*f**3*j**3 + 15*f**3*x + 14*f**2 + j**3 - 3*j**2*x wrt f.
36*j**3 + 90*x
Find the third derivative of 556*s**2*v**3 - 223*s**2*v**2 - 2*s**2 wrt v.
3336*s**2
What is the first derivative of -p**3 - 13*p**2*z**3 + 36*z**3 wrt p?
-3*p**2 - 26*p*z**3
Find the first derivative of -2*n**2*p**2 + 2*n**2 - 2*p**2*r - 36*p + 495*r wrt p.
-4*n**2*p - 4*p*r - 36
Find the first derivative of -2358*a - 18435.
-2358
Differentiate -61*n**4*v - 3*n**2*v**3 + 340*v**3 - 2*v wrt n.
-244*n**3*v - 6*n*v**3
Find the second derivative of 121*x**5 + 2*x**4 - 15*x**3 - 19060*x wrt x.
2420*x**3 + 24*x**2 - 90*x
What is the third derivative of 409*c*u**6 + 3*c*u**3 + 4*c*u**2 - 82*c*u + 4*u**2 wrt u?
49080*c*u**3 + 18*c
Find the second derivative of 1148*u**5 + 2*u**4 + 1711*u wrt u.
22960*u**3 + 24*u**2
What is the first derivative of -139*c*l**2 + 2*c*l - 299*c - 2 wrt l?
-278*c*l + 2*c
What is the second derivative of -56*c**2*j**3*w - 6*c**2*j**2*w**3 + 6*c*j*w**3 - 3*c*w**3 + 2*j**3*w wrt c?
-112*j**3*w - 12*j**2*w**3
What is the third derivative of 2*g**5 - 580*g**4 - 109*g**2 - g wrt g?
120*g**2 - 13920*g
Find the third derivative of 146*o**3*v**5 + 24*o**3*v**2 - 31*o**3*v + 2*o*v**5 wrt v.
8760*o**3*v**2 + 120*o*v**2
Find the second derivative of 3*s**3 + 128*s**2 + 2*s + 6 wrt s.
18*s + 256
Find the first derivative of 9*n*t*z**3 + 5*n*t*z**2 + n - 285*z**3 - 4*z wrt t.
9*n*z**3 + 5*n*z**2
Differentiate -k**3*o**2 - 191*k*o**3 + 8*o**3 - 10 wrt k.
-3*k**2*o**2 - 191*o**3
Find the third derivative of 32*o**5 - 7*o**4 - 13*o**2 + 16.
1920*o**2 - 168*o
What is the derivative of 510*j*y**2 - 20*y**2 - 3 wrt j?
510*y**2
What is the second derivative of -294*m**4 + 146*m + 2?
-3528*m**2
Find the third derivative of 17*m*u**3 + 43*m*u**2 + m + 5*u**3 wrt u.
102*m + 30
Find the second derivative of 167*o*y**2 + 11*o*y - 10*y**5 - 136*y wrt y.
334*o - 200*y**3
What is the third derivative of -5*b**3*g**3*r + b**3*g**2 + 4*b**3*r**3 + 17*b**2*g**2*r + b*g**3*r**3 - 2*b*g**3*r wrt b?
-30*g**3*r + 6*g**2 + 24*r**3
Find the third derivative of 48*a**4 + 2*a**3*c*d + 11*a**3*d + 1017*a**2 - 2*a*c*d - 2*a*c wrt a.
1152*a + 12*c*d + 66*d
What is the second derivative of -1474*o**3 - 4*o**2 + 8463*o?
-8844*o - 8
Find the third derivative of -116*o**3*q**2*r*x + 2*o**3*q**2*x - 4*o**2*q**2*r + 6*o**2*r + 2*o*q**2*x + 7*o*q**2 wrt o.
-696*q**2*r*x + 12*q**2*x
What is the second derivative of 1036*z**4 - 31*z - 14?
12432*z**2
Differentiate -f**3 - 22*f**2 - 254 wrt f.
-3*f**2 - 44*f
What is the third derivative of 74*k**3*p**3 - 64*k**3*p**2 - 2*p**3 wrt p?
444*k**3 - 12
What is the derivative of l**4 + 31*l + 60?
4*l**3 + 31
What is the second derivative of -54*g**3*r*t + 2*g**3*t - 2*g**2*r*t**3 + g*r*t**3 + 233*g*r + 2*g*t wrt g?
-324*g*r*t + 12*g*t - 4*r*t**3
What is the third derivative of -l*s**5 + 71*l*s**3 - 1748*l*s**2 - 9*s**6 wrt s?
-60*l*s**2 + 426*l - 1080*s**3
What is the first derivative of 2*a*y**3 - 47*a*y**2 - 32*a - 10162*y**3 wrt a?
2*y**3 - 47*y**2 - 32
What is the third derivative of -3750*b*i**3 - 2*b*i**2 + 2*b*i + 45*i**2 wrt i?
-22500*b
Find the second derivative of l**2*o*q**3 - 1235*l**2*o*y - 2*l**2*o - 2*l*o*q**3 - l*q*y + 2*o*y + 7*q**3 - 3*q*y wrt l.
2*o*q**3 - 2470*o*y - 4*o
Differentiate 1790*u**4 - 65.
7160*u**3
What is the third derivative of 95*r**5 + 217*r**2 wrt r?
5700*r**2
What is the first derivative of 179*q**4 + q**3 + 22*q**2 + 12317?
716*q**3 + 3*q**2 + 44*q
What is the third derivative of -6513*d**3*q**6 + 44*d**3 - 2*d**2 - 2*q**4 - 95*q**2 wrt q?
-781560*d**3*q**3 - 48*q
Find the third derivative of -4*n**2*o**3 - 2*n**2*o**2*u - n**2*o*u**2 + 14*n*o**3*u**2 + 9*n*o*u**2 - 2*o**2 wrt o.
-24*n**2 + 84*n*u**2
Find the second derivative of -4742*v**4 - 297*v - 12.
-56904*v**2
Find the first derivative of 10*y**2 - 105*y - 11039.
20*y - 105
What is the second derivative of -3*b**5 + 265*b**4 - 5*b**2 + 4*b + 343 wrt b?
-60*b**3 + 3180*b**2 - 10
Find the third derivative of 19*i**2*o**3 + 2*i**2 + 7*i*o**3 + 5*o**2 - 2 wrt o.
114*i**2 + 42*i
Find the second derivative of 3759*m**3 + 5*m + 192 wrt m.
22554*m
Find the third derivative of 243*h**3 + 166*h**2 - 2*h.
1458
What is the derivative of -4073*w**4 + 6291 wrt w?
-16292*w**3
Find the third derivative of -6*a*m**4 + a*m**2*y + 6*a*m**2 - 64*a*y - 46*m**3*y wrt m.
-144*a*m - 276*y
Find the third derivative of 347*b**6*o + 3*b**5*o**3 + 7*b**2*o**3 - b*o**2 + 2*o**3 + 87 wrt b.
41640*b**3*o + 180*b**2*o**3
Find the third derivative of -2033*u**6 + 2594*u**2.
-243960*u**3
Find the first derivative of 2*m**4*u - 20*m**3*u + 2*m**3 - 338*u wrt m.
8*m**3*u - 60*m**2*u + 6*m**2
What is the first derivative of t**2*y**2 + 44*t**2*y + 143*t**2 wrt y?
2*t**2*y + 44*t**2
Find the third derivative of 720*t**4 - 230*t**2 wrt t.
17280*t
Differentiate -2*f**3*v - 26*f**3 - 857*v**3 with respect to v.
-2*f**3 - 2571*v**2
Find the second derivative of -8736*w**4 + 1277*w.
-104832*w**2
What is the first derivative of 3*i**3*y + 56*i**3 + 11*i*y wrt y?
3*i**3 + 11*i
What is the third derivative of -f*g*m**3 + 479*f*g*m**2 + f*m**3 + 2*f*m**2 - f + 17*g*m**3 - 3*g*m**2 - g*m - 97*m**3 wrt m?
-6*f*g + 6*f + 102*g - 582
Find the second derivative of -2*c**3 - 463*c**2 + 4*c + 132 wrt c.
-12*c - 926
What is the second derivative of -2*b**3*r**2*z + b**3*r*u + 2*b**3*u*z + 2*b**3*z + 4*r**2*u - 4*r**2 - 4*r wrt r?
-4*b**3*z + 8*u - 8
Find the first derivative of -3026*c - 3775.
-3026
What is the second derivative of 27*h**2*w**2 - h**2*w + 56*h**2 wrt w?
54*h**2
Differentiate 548*l**2*t**4 + 2*l**2 - 5*l*t**4 + 23*l - 6 with respect to t.
2192*l**2*t**3 - 20*l*t**3
Find the third derivative of -2*q**6 - 3*q**4 - q**3 - 2*q**2 + 128 wrt q.
-240*q**3 - 72*q - 6
What is the first derivative of -231*g**4 - 1885 wrt g?
-924*g**3
Differentiate -4*c*n**4 - 16*c*n**3 + 6*c + 2 wrt n.
-16*c*n**3 - 48*c*n**2
What is the third derivative of -2198*k*r**3 - 270*k*r**2 - 4*k*r wrt r?
-13188*k
What is the second derivative of -a**4*b + 37*a**2*b**2 + 2*a*b**2 + 514*b**2 wrt a?
-12*a**2*b + 74*b**2
Find the first derivative of 3*i**3*j + 5474*i**3 + 358*j wrt j.
3*i**3 + 358
What is the third derivative of 2*o**5*q - 2*o**5 + 357*o**3*q - 7*o**2*q - 2*o*q + 71*q wrt o?
120*o**2*q - 120*o**2 + 2142*q
Differentiate 509*u*w**3 - 8*u - 2*w**3 - 89*w + 1 with respect to u.
509*w**3 - 8
What is the third derivative of f**4*o**2 - 2*f**3*o**2*s**3 - 6*f**2*o**2*s**3 + 4*f**2*s**3 + 10*o**2 wrt f?
24*f*o**2 - 12*o**2*s**3
Find the third derivative of 11*h*z**4 - 2*h*z + 34*z**6 + 1700*z**2 wrt z.
264*h*z + 4080*z**3
Differentiate 996*g - 1554 wrt g.
996
What is the third derivative of -n**5 + 2816*n**4 - n**3 - 21*n**2 - 2*n + 211?
-60*n**2 + 67584*n - 6
Find the second derivative of 619*y**4 - 3*y + 34 wrt y.
7428*y**2
Find the first derivative of 11*f*g*k*u + f*g*k + 2*f*k*u - 7*f*u + 2*g*u + g - 2*u wrt k.
11*f*g*u + f*g + 2*f*u
Find the second derivative of -340*p**2*t**2 + 2*p*t**2 - 129*p - t**2 wrt p.
-680*t**2
Find the third derivative of 1105*g**3 - 2*g**2 - 243*g wrt g.
6630
What is the derivative of d**3*l*r*z - 3*d**3*z + 4*d**2*r*z + d**2*r + 3741*d*l*r*z + l*r*z + 3*z wrt l?
d**3*r*z + 3741*d*r*z + r*z
Find the second derivative of -3*f**4 + 52*f**2*u + 6*f - 5*u + 10 wrt f.
-36*f**2 + 104*u
Find the first derivative of -2*s*v**2 + 195*s - 46*v**3 wrt v.
-4*s*v - | {
"pile_set_name": "DM Mathematics"
} |
a - a + 3*a)*(2*a + 0*a - 4*a) + 5*a**2 - 3*a**3 - a**2 - 3*a**2.
41*a**3 + a**2
Expand (-110*s**2 + 32*s**2 - 7*s**2)*(4*s - s - 4*s)*(3 - s - 3).
-85*s**4
Expand (9 + 19 + 1)*(2 - 7 + 1)*(3*q**3 - q**4 - 3*q**3).
116*q**4
Expand (2*s - 3*s - s)*(4*s**4 + 190*s - 188*s + 3*s**4).
-14*s**5 - 4*s**2
Expand (-111*j**2 - 78*j**2 + 162*j**2)*(-2*j**2 + 4*j**2 - 3*j**2).
27*j**4
Expand (-6*k**5 + 0 - 8*k**5 + 2)*(-6 + 1 - 3).
112*k**5 - 16
Expand (-859 - 743 - 17 + 6)*(2*k - 1 + 1).
-3226*k
Expand ((-1 + 1 - 3)*(-3 - 2*z + 3) + (-5 + 2 + 2)*(1 - 1 + z) + 0*z - 4*z + 2*z + 0*z - 9*z + 16*z)*(0*z - z + 2*z).
10*z**2
Expand (4*i - 3*i + i)*(4*i + 0*i - 2*i) + 5*i**2 - i**2 - 2*i**2 + (-2*i**2 - i + i)*(-2 - 1 + 1) + 2*i + 0*i**2 - 2*i**2 - i**2.
7*i**2 + 2*i
Expand -2 + f**2 + 2 + (3 + 1 - 3)*(-13*f**2 - 50*f**2 + 17*f**2) - f**2 + f + f**2 + f**2.
-44*f**2 + f
Expand (2 + h - 2)*(-2*h**2 - 3*h**2 + 2*h**2) + 7*h**3 + 78*h - 78*h.
4*h**3
Expand (m - m**2 - m)*(-4*m**2 + 48*m**2 + 4*m**2) + 3*m**2 - 3*m**2 - m**4.
-49*m**4
Expand (-53*q**2 - 7*q**4 - 26*q**4 + 51*q**2)*(4 + q - 4).
-33*q**5 - 2*q**3
Expand (3*u + 0*u - 2*u)*(-7 - 110 - 55) + (-2 + 0 + 1)*(2*u - 3 + 3).
-174*u
Expand (-2*o - 1 - 3*o + 2*o)*(-15*o**2 + 2*o**2 - 18*o**2).
93*o**3 + 31*o**2
Expand (-3*r - 13 + 13)*(r - 2 + 2) + 21*r - 34*r + 18*r**2 + 12*r.
15*r**2 - r
Expand -202*h**2 + 202*h**2 + 16*h**4 + (0*h**3 + 3*h**3 - h**3)*(0*h + 0*h - h) + 2*h**4 - 2*h**4 - 2*h**4 - h**4 - h**4 - 3*h**4.
7*h**4
Expand (8*g**2 + 4*g**2 - 2*g**2)*(g - 5*g + 5*g) + 0*g**3 - 3*g**3 + 7*g**3.
14*g**3
Expand (-m**2 + m**2 - 2*m + 2*m**3)*(178*m**2 - 15 + 15).
356*m**5 - 356*m**3
Expand (2*y**2 - y**2 - 3*y**2)*(26 + 27 - 16).
-74*y**2
Expand (-1 + 2 + 0)*(4*w**2 - 2*w**2 + 0*w**2) + (3 - 2*w - 3)*(-w + 1 - 1) + 0*w - w**2 + 0*w + 2*w**2 - 5*w**2 - 12*w**2.
-12*w**2
Expand (4*g**3 - 5*g**3 + 3*g**3)*(1 - 3 - 5 + (10 + 1 - 3)*(-2 - 1 + 4) + 3 + 0 - 5).
-2*g**3
Expand ((4 - 3 - 2)*(0 + 0 + 2) - 1 - 1 + 3)*(214*i**2 - 4523*i + 4523*i).
-214*i**2
Expand 14 - 6*l - 7*l + 12*l + (4*l - l + 4*l)*(3 - 2 - 3).
-15*l + 14
Expand (-3*w - 8*w + 2*w)*(-2 - 4 + 5) + (w + w + 0*w)*(-7 - 9 + 8).
-7*w
Expand 4*y - 5*y - y + (-y + 2 - 2)*(-2 - 1 + 1) - 3*y + 20*y + 7*y.
24*y
Expand -g**2 + 0*g + 0*g + (-11*g + g - 13*g)*(g + 3*g - g) + (3 + 1 - 2)*(-g**2 + 2*g - 2*g) - 3*g**2 - 3*g**2 + 7*g**2.
-71*g**2
Expand (2*a**2 + 2 - 2 + (-a**2 + 3*a**2 - a**2)*(0 + 2 - 3))*(-3*a - 7*a - 2*a).
-12*a**3
Expand (-2*t**3 + 0 + 0 + (4*t**2 - 2*t**2 - 3*t**2)*(4*t + 5*t - 3*t))*(20 - 4 + 66).
-656*t**3
Expand -b**2 - 2*b**2 + 2*b**2 + 3*b**2 - 4*b**2 + 3*b**2 + (-4*b + 4*b + b)*(-b + 2*b + b) + 18*b**2 - 2 - 21*b**2 + 7*b**2.
7*b**2 - 2
Expand (1 - t - 1 + (5 - 5 + t)*(3 + 3 - 5) + 0*t + 2*t - 5*t)*(4*t**4 - 2*t**4 + 0*t**4 - 9*t**4 + 0*t**4 - 9*t**4 + (5*t - t - 3*t)*(t**2 - t**3 - t**2)).
51*t**5
Expand -3*h**5 - h**5 + 11*h**5 + (h - h + h**2)*(h**3 + 5*h - 5*h) + (-2 + 3*h**2 + 2)*(h**2 + h**3 - h**2) + 0 + 0 - 2*h**5.
9*h**5
Expand (238*r + 28668 - 28668)*(-r + 3*r - r + 2 - r**2).
-238*r**3 + 238*r**2 + 476*r
Expand 0*q + 5*q - q - 4*q + 3*q + 3*q + (-1 + 0 + 3)*(q - 4 + 4) + 0*q + q + q + 26 - 26 - 9*q.
q
Expand (i + i + 4*i)*(-3*i - 4*i + 6*i) + 3 + 2*i**2 - 3 + 5*i - 14*i**2 - 5*i.
-18*i**2
Expand (2 - 7 + 3)*(-7*r + 0*r + r)*(r + 3 - 3)*(0*r**2 + r**2 + r**2).
24*r**4
Expand (-5 - 3 + 1)*(22 + 2 - 8)*((0 + 1 + 0)*(-3*j - j + 3*j) - 3*j + 3*j - j).
224*j
Expand (1 - 2*q - 1)*(2 - 4 + 1) - 6*q - 5*q - q + q - 5*q + 6*q - q - 3 + 2 + 3.
-9*q + 2
Expand 2015 - 1114 - 2*l**2 - 1276 + (-2*l**2 + 0 + 0)*(-1 - 2 + 1).
2*l**2 - 375
Expand 4*z**2 - 5*z**2 + 7*z**2 + ((3*z + 0*z - z)*(2*z - z - 2*z) + 4*z**2 - 6*z**2 - z**2)*(4 - 1 - 2).
z**2
Expand (-68*q - 65*q + 140*q)*(7 - 2 + 3).
56*q
Expand (7*b - 2*b - 4*b)*(505 + 8*b**3 - 214 - 190).
8*b**4 + 101*b
Expand (-6 - 80*l + 4 - 247*l**2 + 246*l**2)*(-3 - 2*l + 3).
2*l**3 + 160*l**2 + 4*l
Expand (-508 + 33*h + 508)*(3*h - 2 + 2)*(1 + 2*h - 1).
198*h**3
Expand (16*x**2 - 21*x**2 + 10*x**2)*(2*x + 4*x**3 - 5*x**3 - 9*x**3).
-50*x**5 + 10*x**3
Expand -f**5 + 9*f**5 - f**5 + (-f + 4*f - 6*f)*(f**4 - f**2 + f**2).
4*f**5
Expand (0 + 1 + 5)*(-3*v + 4*v - 2*v) + (7*v + 3*v - 2*v)*(-2 + 2 - 3).
-30*v
Expand 1713*h**5 - h**4 - 830*h**5 - 844*h**5 + 1 + 2*h**5 - 1 + h**5 + 3*h**5 - 3*h**5 + (2*h**4 + 3*h**4 - 4*h**4)*(-3*h - 3*h + 4*h).
40*h**5 - h**4
Expand (5*z**2 + 11*z - 11*z)*(-1 + 4 - 4 + (2 + 0 + 0)*(1 - 2 + 0) + 5 - 2 - 4)*(3*z + 4*z + z + 3*z + z - 3*z + (-3 + 2 - 1)*(2*z - 3*z + 2*z)).
-140*z**3
Expand (4 - 2*f**2 - 4)*(-5*f + 3*f + 3 + 3*f) + (-1 + 1 + 2*f)*(0*f**2 + 3*f**2 - f**2) + f**3 - 2*f**3 + 0*f**3 - f**3 + 3*f**3 - 4*f**3.
-f**3 - 6*f**2
Expand -f + 2*f**2 + f + 2 - 2 + 11*f**2 - 5*f**2 + 3*f**2 - f**2 + (4*f**2 - f**2 - f**2)*(-4 + 6 + 0).
14*f**2
Expand 7*p + 26*p - 59*p + (-3 + p + 3)*(5 - 3 - 3) + 0*p + 2*p - 3*p.
-28*p
Expand (-9*t - 17 - 26*t + 16)*(-2*t**2 + 3*t**2 + 0*t**2).
-35*t**3 - t**2
Expand (-r + 3*r - r)*(-2*r**2 + 5*r**2 - 4*r**2) + (-4*r + r**3 + 4*r)*(-2 + 2 - 2) + (-3 + 2 + 7)*(2*r**3 - 3*r**3 + 2*r**3).
3*r**3
Expand (19 - 19 - 9*q + 2)*(-8*q**2 + 2*q**2 + 1 + 2*q**2).
36*q**3 - 8*q**2 - 9*q + 2
Expand (0*p - 13*p + p + 2 + 2*p - 2 + 2*p + 0 + 0 + (5 - 3 - 4)*(2*p - p - 3*p) - 2*p + 0*p + 0*p)*(-3 - 55 - 16).
444*p
Expand (-148 + 2 + 39)*(5*t - 2*t - 4*t)*(-3 + 5 - 1).
107*t
Expand (0*p - 4*p + 2*p + (-5*p + 5*p + 5*p)*(-1 + 0 + 2))*(-3 + 1 - 2).
-12*p
Expand r**5 + 59 + 1686*r**3 - 1685*r**3 - 2*r**5 + (-r + 6*r - 3*r)*(0 - 2*r**4 + 0).
-5*r**5 + r**3 + 59
Expand 5 - 5 - 5*v**4 + (32*v - 32*v - 18*v**2)*(-2*v**2 + 2*v - 2*v).
31*v**4
Expand (27*w**2 - 3*w**2 - 10*w**2)*(2 - 2 + 3*w)*(-6*w + 35*w**2 + w - 33*w**2).
84*w**5 - 210*w**4
Expand (166 - 84 - 89 + 35*u**2)*(0 + 0 + 3).
105*u**2 - 21
Expand (-3 + 3 + 2*r**2)*(383*r**2 - 383*r**2 + 24*r**3) - 3*r**5 - 3*r**5 + 5*r**5.
47*r**5
Expand (-2*n - 3*n + n)*((-2*n + n + 0*n)*(-3 + 3 + 1) - 3*n + n + n).
8*n**2
Expand -3*m**5 + 2*m**5 - m**5 - m**5 + 2*m**3 - 2*m**3 + (2*m**2 + 0 + 0)*(20*m**3 - m**3 + 0*m**3) + m**5 + 0*m**5 - 2*m**5.
34*m**5
Expand (-4*r + 2*r + r)*(2*r + 2*r - 6*r)*(r**2 - 2*r**2 + 3*r**2) - r**4 + 2*r**2 - 2*r**2 - 3*r**4 - 3*r**4 + 4*r**4 + (4 - 1 + 1)*(-r**4 - 3*r**4 + 5*r**4).
5*r**4
Expand (z + 9*z - z + (-2 + 4 - 1)*(2*z + 2 - 2) + z + 1 - 1 + 0*z + 4*z - z)*(-5*z**2 + 2*z**2 + z**2).
-30*z**3
Expand x**5 + 2*x**5 - 4*x**5 + x**5 + x**4 - x**4 + (0*x - 3*x + 4*x)*(-5*x**4 + 2*x**4 + 4*x**4) - 49*x**2 + 49*x**2 + 31*x**5 - 5*x**5 - 11*x**4 + 11*x**4.
27*x**5
Expand -5*g + 3*g + 0*g + (11*g + 2*g + 10*g)*(3 - 4 + 5).
90*g
Expand -287*y - y**2 + 287*y + (3*y + 2*y - 6*y)*(3*y - 2*y + 3*y).
-5*y**2
Expand (3*g - 2*g + 0*g)*(-198 - 173 - 498).
-869*g
Expand v + v**5 - v + (-218 + 329 - 190)*(2*v**5 - 4*v + 4*v) - v**5 + v**4 - v**4.
-158*v**5
Expand (5 + 4 + 0)*(26 + 13*g - 11*g + 6).
18*g + 288
Expand (895*t**4 + 166*t**4 + 80*t**4 - 15*t**4)*(0 + 0 + t).
1126*t**5
Expand (20020*d - 324*d**2 - 20020*d)*(2 - 1 - 2) + 4 - 4 + 6*d**2.
330*d**2
Expand (-9 + 356*r + 346*r - 704*r)*(-3 + 1 + 4).
-4*r - 18
Expand -4 - 2*l + 4 + (3 - l - 3)*(-4 - 1 - 1) + 1 + 2*l - 1 + (0 + 1 - 2)*(0*l - l + 0*l).
7*l
Expand (j + 8*j - j)*(3*j**4 - 4*j**4 + 3*j**4) - 316*j**2 - 8*j**5 + 317*j**2 + 37*j**5.
45*j**5 + j**2
Expand (36 - 19 - 16)*(13021 - 13021 - 333*f).
-333*f
Expand (7 - 469*z**2 - 27*z + 933*z**2 - 463*z**2)*(-1 - 2 + 4).
z**2 - 27*z + 7
Expand (-2*n + 5 - 5)*(8*n**2 - 5*n + 5*n)*(0*n + n - 9*n).
128*n**4
Expand (-2 + 2 - 2)*(-34 + 86 - 43)*(5*i - 4*i + i).
-36*i
Expand (-2*d + 3*d + 0*d)*(51 - 51 - 35 + (-1 - 2 + 2)*(5 - 5 - 1) + 4 - 2 + 0).
-32*d
Expand -7 + 213*m**3 - 213*m**3 + m**5 + (3*m**3 - 3*m**3 + 3*m**3)*(-5*m**2 - 4*m**2 + 3*m**2).
-17*m**5 - 7
Expand (-24*i + 3*i - 8*i)*((-5*i + 0*i + 3*i)*(3 + 1 - 2) + 3 - 4*i - 3 - 2*i + i + 0*i).
261*i**2
Expand (3*a - 2*a - 3*a)*(-4*a**2 + 3*a**2 + 3*a**2) + 0*a - 2*a**3 + 0*a + 54*a**2 - a**3 - 64*a**2 + 75*a**2.
-7*a**3 + 65*a**2
Expand (-119*n + 93*n - 479*n)*(2 - 4 + 3).
-505*n
Expand (4 + 4 - 4)*(1 + 3 - 6)*((2 + 1 - 1)*(5*u + u - 5*u) - 4*u - u + 2*u).
8*u
Expand (4 - 4 - 14*l)*(-11 + 9 + 7) - l + 4*l - 2*l.
-69*l
Expand 0*w**2 - 4 | {
"pile_set_name": "DM Mathematics"
} |
(-3)/(-15)?
616
Suppose -36 + 10 = -q. Suppose 750 = q*m - 16*m. Calculate the least common multiple of m and 12.
300
What is the common denominator of (-66 - -63) + (-169)/(-33) and -46/303?
3333
Let b be (13/(-4))/((-1)/4). Suppose -7*a + 5 = -6*a. Let m = a + b. What is the lowest common multiple of m and 2?
18
Let a = -1/33902 - 30113450/50853. Let f = a + 590. Find the common denominator of f and (-1)/(-1 - (-74)/71).
6
Let h be -2*(0 + (-62)/4). Let w = h - 21. Let o = 15 - w. What is the smallest common multiple of 10 and o?
10
Let p = 142826/25 + -5712. What is the common denominator of p and -107/6?
150
Suppose -493 = -2*o - t, -o + 3*o - t = 503. What is the least common multiple of o and 30?
2490
Let w = -34 + 36. Suppose -5 = -w*f + 25. What is the least common multiple of 6 and f?
30
Let z = -697 - -699. Suppose 4*o - 36 - 32 = 0. What is the smallest common multiple of z and o?
34
Let g = 182 - 173. Let i(p) = -p**3 - 16*p**2 + 1. What is the lowest common multiple of i(-16) and g?
9
What is the common denominator of 9 - (-990)/(-20) - -4 and 101/4?
4
Let o be (-2)/1*(-9)/3. Let q = 7 - o. What is the common denominator of (57/2)/(q + -19) and 101/18?
36
Let y = -8 + 12. Let h = 84 + -49. Suppose 2*l = -19 + h. What is the lowest common multiple of l and y?
8
Suppose -5*f = 3*j - 4, 4*f - 5*f - 5*j = 8. Suppose -k - f*k = 12. Find the common denominator of (-1)/k + (-159)/84 and 41/14.
14
Let a(k) = -14*k + 4. Suppose 1 = -c + 19. What is the lowest common multiple of c and a(-1)?
18
What is the common denominator of 71/14 and (-64)/70 + 2 - (15 + -16)?
70
Let c be 1*-1 + (-3)/2. Suppose -3*k - 4*s = -5*s + 1, -4*k = -2*s + 4. Let o = k + c. Find the common denominator of -11/2 and o.
2
Suppose 0 = x - 10 - 3. Suppose -x*h + 15*h + 4 = 0. What is the common denominator of h*(-2)/((-48)/111) and -19/4?
4
Suppose -2*n - 2 = -24. Let l(p) = -6*p - 8. Let b be l(3). Let f = -18 - b. Calculate the least common multiple of n and f.
88
Let s(a) = a. Let f be s(8). What is the common denominator of ((-5265)/(-50))/13 + -3 and f/(-12)*162/40?
10
Let x = 9031/4 - 1706791/756. Calculate the common denominator of x and -21/11.
2079
Let u(v) = -v**2 + 6*v - 2. Let b(o) = -o. Let c(s) = -3*b(s) - u(s). Calculate the lowest common multiple of c(6) and 14.
140
Let w(l) be the third derivative of 7*l**6/120 + l**5/60 - l**3/6 - 2*l**2. Let q be w(1). What is the smallest common multiple of q/3 + (-10)/30 and 4?
4
Let l = 5 + -4. Suppose 0 = x + 3 + 6. Let i(a) = -a + 1. Calculate the lowest common multiple of l and i(x).
10
Let b = -341 + 343. What is the least common multiple of 14 and b?
14
Let h = 3615 + -10841/3. Calculate the common denominator of h and 1130/(-48)*(-8)/(-40).
24
Let v = 33959/4242 - -20/303. What is the common denominator of v and 454/(-120) - (-22)/(-33)?
140
Let j = 546 + -321. What is the common denominator of (-2)/(-3 + j/71) and 69/7*3/(-9)?
42
Let t = -271/52 + 431/117. Find the common denominator of -95/108 and t.
108
Find the common denominator of -25/36 and -3 + 33/18 + 10.
36
Let h = -175/22 + -7/33. Let y be ((-8)/2408)/((-1)/3). Let g = y - 15059/903. Find the common denominator of g and h.
6
Let a be 54/8*-70 + (-76)/19. Let b be (1 - 8)*(-63 - 1). Let t = b + a. What is the common denominator of t and -87/16?
16
Let h = 45569 + -4921385/108. Calculate the common denominator of 73/10 and h.
540
Let m = 10591/13380 + 1/8920. What is the common denominator of m and 5/84?
168
Suppose -5*l - f = -3*f + 1882, -3*l = 5*f + 1154. Let v(m) = m + 3. What is the least common multiple of v(8) and (-2)/(-7) - l/49?
88
Let z(j) = -3*j**3 - 3*j**2 - 4. What is the least common multiple of 224 and z(-2)?
224
Let b(u) = -u**2 - 33*u - 14. Calculate the least common multiple of 9 and b(-32).
18
Let u = -18288 - -54826/3. Let z = 19/44 + -1723/220. What is the common denominator of u and z?
15
Let h = -12 + 16. Suppose -20 = h*l - 420. Suppose -14*v + l = -9*v. What is the smallest common multiple of v and 6?
60
Let w = 0 + 8. Let y(v) = v**2 + 6*v - 2. Let b be y(-6). Calculate the smallest common multiple of 21/9 + b/6 and w.
8
Suppose -q + 1 = -0*q. Let j be q/(-2 - -1) + 5. Suppose -3*z - j + 18 = 5*v, 2*v + 2*z - 4 = 0. What is the least common multiple of v and 1?
4
Let f be 16/(-10)*300/(-40). Calculate the common denominator of 1*(-61)/f*-1 and -97/24.
24
Let u be 4/14 + 136/14. What is the common denominator of ((-2590)/(-72))/(-7)*10/25 and u/(-9)*3/(-8)?
36
Suppose -2010 = -5*l - 3*z + 8*z, 2*z = -3*l + 1221. Calculate the lowest common multiple of l and 6.
810
What is the common denominator of -52/9 and 1953/(-360) + 2 + 5?
360
Suppose -4*r + k = 3*k - 96, 3*r + 3*k = 72. Find the common denominator of -26/5 and (5/(-148))/(6/r).
185
Let u = 2/245 + 2432/2205. What is the common denominator of u and 35/326?
2934
Let f(a) be the first derivative of -a**2 + 2. Let v(x) = x**3 + 2*x**2 - 34*x - 2. What is the least common multiple of f(-1) and v(5)?
6
Suppose 4*m - 34 - 95 = d, 4*m = -d + 127. What is the lowest common multiple of 260 and m?
2080
Suppose 0 = w - 5*w + 3*h + 637, 0 = 4*w - 5*h - 635. What is the lowest common multiple of 100 and w?
800
Suppose 352 + 488 = 20*p. What is the lowest common multiple of p and 18?
126
Let c = -121263/20 - -6057. What is the common denominator of c and -89/36?
180
Let q = -10915 + 687677/63. What is the common denominator of 35/18 and q?
126
Let t(q) = 3 + 4*q + q**3 + 2 + 1 + 3*q**2 + 2*q**2. Calculate the lowest common multiple of 22 and t(-4).
66
What is the least common multiple of 21*(-24)/(-2268) - 2878/(-9) and 48?
960
Suppose 2*m + 3*h + 8 = 0, -8*h - 20 = -2*m - 4*h. What is the least common multiple of 670 and m?
670
Let u(c) = c**2 - 10*c + 13. What is the smallest common multiple of u(10) and 117?
117
Suppose 4*m = 5*l - 1293, -591 = -2*l - 4*m - 57. What is the least common multiple of l and 6?
522
Let h = -89/468 - 1/468. Find the common denominator of h and -87/34.
442
Suppose -3*k - 5*c - 4 + 603 = 0, -4*c + 598 = 3*k. What is the smallest common multiple of 180 and k?
1980
Let i = -14763/4 + 3666. Let c be -2 - (1 - 1)/(-3). What is the common denominator of i and c - (2 + 131/(-10))?
20
Let l = 10 - 17. Let n(o) = -o**2 - 8*o + 2. Let i = 34 - 19. Calculate the smallest common multiple of n(l) and i.
45
Let z(j) = -41*j + 6. Let o be z(-6). Let g be -3 + 1 + 510/o. Let w = g - 110/63. Find the common denominator of -69/2 and w.
18
Suppose -2*c - 13 - 1 = -4*i, 3*c + 4*i = 9. Calculate the common denominator of (14/16)/(-10*c/(-4)) and 59/4.
20
Calculate the least common multiple of 36/(-10)*3/((-3)/10) and 132.
396
Let u = 377 + -329. Calculate the lowest common multiple of u and 6.
48
Let s = -1/555 + -3143/1110. Calculate the common denominator of s and 2 - 0 - 46/(-8).
12
Let t(y) = -y**2 + 5*y - 4. Let w(h) = h + 9. Let v be w(-5). Let m be t(v). Suppose -3*o + 4*o - 8 = m. Calculate the smallest common multiple of 6 and o.
24
Let k be (-1)/2 + 124/(-8). Let y(d) = d + 20. Calculate the least common multiple of y(k) and 2.
4
Find the common denominator of (-7)/1540 + (-2)/(-15) and -47/264.
264
Let n = 1541/28 + -310/7. Find the common denominator of n and ((-20)/(-2))/(28/(-13)).
28
Let p be (8/(-3))/((-16)/24). Suppose 2*i + i = -3*k + 24, 2*i + 8 = p*k. Suppose -5*q = -10*q + 45. What is the least common multiple of k and q?
36
Let w(a) = 3*a**2 - 3*a. Let x be w(-2). Suppose 34*j + x = 37*j. What is the lowest common multiple of j and 10?
30
Suppose 6*n - q - 293 = 2*n, -77 = -n - q. Suppose 2*x - 10 = 0, 14*x - 20 = -5*s + 16*x. Calculate the smallest common multiple of s and n.
222
Suppose -12*x + 1 = -11*x. Find the common denominator of -17/24 and (-2 + 13)*x/(-3).
24
Let v = 5080 - 30401/6. Let y = -5924/24981 - 4/757. Find the common denominator of v and y.
66
Let y = -989/5 + 11113/60. Find the common denominator of y and -133/144.
144
Suppose -15*h = -8758 - 1862. Calculate the least common multiple of 11 and h.
7788
Let t = -53 + 55. Suppose -3*k + t*k - 5*w = -25, -2*k + 3*w - 2 = 0. What is the least common multiple of k and 5?
5
Let o = -24499/238 - -1722/17. Let u = -2339 + 37501/16. Find the common denominator of o and u.
112
Let g b | {
"pile_set_name": "DM Mathematics"
} |
-2/5, b?
b
Suppose 0 = 3*w - 5*a + 19, w - 2 = 3*a - 11. Suppose 57*m - 255 = 6*m. What is the second biggest value in -0.4, w, m?
-0.4
Let p be (7/175)/(2/(-15))*-2. Which is the third biggest value? (a) 29 (b) 4 (c) p (d) -1/5
c
Let o = 1378 + -1375. What is the smallest value in o, -0.33, -5?
-5
Let f = 33.07 - 33. Let x = f + 0.33. What is the third smallest value in 1/2, x, -3/4?
1/2
Let d = -0.29 - -0.55. Let j = d - -4.74. What is the smallest value in j, -4, -1/2?
-4
Let r be -2 + (19 - -2) + -1. Let a = 0.04194 + 0.95806. What is the second biggest value in r, a, -1?
a
Let m = 0.074 - 0.154. Let q = -0.08 - m. Which is the second smallest value? (a) q (b) 2/17 (c) -1
a
Let s = -1.3 + 1.274. Let o = s + 0.046. Let y = 3.3 + 0.7. Which is the third biggest value? (a) o (b) y (c) 1
a
Let m = 3 + -4. Let o = -0.041 - 0.759. Let c = o - 3.2. What is the third smallest value in m, 4, c?
4
Let c(w) = -w**2 + 5*w + 2. Let g = 20 + -15. Let a be c(g). Let s = 363/7 - 52. What is the smallest value in s, 1/3, a?
s
Let r = -133 - -133.1. Which is the second smallest value? (a) r (b) 3/7 (c) 8
b
Let y(b) be the first derivative of -b**4/4 + 3*b**3 - 13*b**2/2 - 11*b - 15. Let p be y(7). What is the fourth smallest value in 4, 1, p, -3?
4
Let c = 878 - 878.5. Let v = -9 - -4. What is the fourth biggest value in -2, -0.1, c, v?
v
Let f = 1.137 + -1.039. What is the third smallest value in -5/4, f, -4?
f
Let a = 32.5 - 36. Let q = -3.9 - a. What is the smallest value in q, 1/4, 5?
q
Let w = 39 + -38.92. Let q = 228 - 2962/13. Let y = 9 + -8. Which is the third smallest value? (a) q (b) y (c) w
b
Let r = -0.06 + 0.46. Let d = 10 + -10.8. What is the smallest value in d, r, 1/4?
d
Let p = -169 + 101. Let x = -66 - p. Which is the biggest value? (a) -0.3 (b) x (c) 0.1 (d) 4
d
Let j = 1124.71 + -1099. Let d = -0.71 + j. Which is the smallest value? (a) d (b) -1/5 (c) -1/4
c
Suppose 2*n - 54 = -3*l, l + 28 - 146 = -4*n. Let s be 6/(-40) + ((-168)/n - -6). What is the fourth biggest value in 2/9, 3/4, s, -5?
-5
Suppose -2*t = 4*h - 48, 28 = 2*t + 3*h - 17. Let u be t/(-9) + (-4)/2. Which is the third smallest value? (a) -2/3 (b) -8 (c) u (d) 4
a
Let j = 191.4 - 191. Let z be (-34)/(-40) + 3/(-5). Which is the second biggest value? (a) j (b) 1 (c) -0.5 (d) z
a
Let h = 1315 - 1299. Let t = 0.5 + -0.3. Which is the fourth biggest value? (a) t (b) -1 (c) h (d) 2/7
b
Let g be 640/420*(27/(-6))/3. What is the biggest value in -0.4, g, 4?
4
Let h = 0.0318 - 0.0918. Let z = -0.5 + 1. Which is the third smallest value? (a) h (b) 1 (c) z
b
Suppose -4*x - 2*r + 421 = 55, 3*x - 3*r = 252. Let d = -90 + x. Let q = -0.02 + 3.02. What is the biggest value in q, d, 1?
q
Let n be 222/216 - 2/(-9) - 1. Which is the fourth smallest value? (a) -3/13 (b) 2 (c) 5 (d) n
c
Let q = -274 + 279. Which is the second smallest value? (a) q (b) -1/22 (c) 0.1
c
Let v = 0.01 + 1.32. Let w = -0.43 + v. What is the second biggest value in 0, -2/13, w?
0
Suppose -3*n - 2*m + 18 = 3*m, 5*m = -2*n + 17. Let w be (1 - 4)/(-45) - n/(-3). Which is the third biggest value? (a) w (b) 6 (c) -4 (d) -2
d
Let x = -102 - -103. Let u be -1 - (-16)/5 - 2. What is the second smallest value in -2/15, u, x?
u
Let w = -5.1 - -0.5. Let y = -7.4 - -7. Let d = y + w. What is the smallest value in d, -0.2, -0.1?
d
Let p = -1.81 - -7.81. What is the third smallest value in p, 8, -5, 2?
p
Let w(k) = k + 17. Let g be w(-13). Let h be (g/84)/(4/14). Let r = 4.3 - 4. What is the biggest value in h, -4, r?
r
Let z = 0.36 + -0.26. Which is the third biggest value? (a) -3/4 (b) z (c) -0.4 (d) 4/41
c
Let p = 3522 + -95092/27. Let h = 3 + -2.9. Let w = 0.1 - h. Which is the second smallest value? (a) p (b) w (c) -5
b
Suppose -169 = -3*q - 1135. Let z be (-5)/(-3) + q/168. Which is the second smallest value? (a) z (b) -2/21 (c) 2/19
b
Let i be 1/(-7) - 448/(-49). Let q be i/45*1/1. Which is the third smallest value? (a) 3/5 (b) q (c) -2
a
Let y = -5.9 + 6. Let s = y - 0.6. Let w = -49/20 - -9/4. What is the smallest value in w, s, 0.4?
s
Let t = 47 + -44. What is the smallest value in t, -2/9, 0?
-2/9
Let h = 55.9 - 56. Let d = -9.5 + 9.8. Which is the smallest value? (a) 5 (b) h (c) d
b
Let g = -0.1 + -0.4. Let r = 82.7 + -78. Let s = r + -7.7. Which is the third smallest value? (a) g (b) 0 (c) s
b
Let l(y) = -y**2 - 2*y + 3. Let f be l(-4). Let d = 0.047 + -0.1. Let q = -0.753 - d. Which is the second smallest value? (a) 0.1 (b) f (c) q
c
Let u = -47/20 + 779/140. Let v = u - 26/7. Which is the second smallest value? (a) -1/3 (b) v (c) 0.6
a
Let q = 312179/8 - 39315. Let g = -293 - q. Which is the smallest value? (a) 1/3 (b) g (c) -2/13
b
Let q be 12/(-10) + 1 + 42/910. Which is the fourth biggest value? (a) 3 (b) q (c) -3/4 (d) 1
c
Suppose y - 35 = 4*l, -62*y + 59*y - 2*l + 35 = 0. What is the biggest value in y, -3, 3?
y
Let p = 835/8943 - 2/813. Let s = 0 - 0.1. Which is the biggest value? (a) s (b) -0.2 (c) p
c
Let r = -105/8228 - -49263241/172788. Let b = r + -285. What is the third smallest value in -0.05, -1/2, b, 0.3?
b
Let p = 6491 - 129937/20. Let u = p - -28/5. Let y = 0.1 - 0.4. Which is the biggest value? (a) -4 (b) y (c) u
c
Let o = 842.88 + -843. What is the second smallest value in 3, -0.8, o?
o
Let x = 180 - 179. Let u be -3 + (42/(-4))/(x/2). What is the biggest value in -2, u, -0.4?
-0.4
Let k = 0.4779 + -43.8879. Let h = -43 - k. Let o = -0.09 - h. Which is the biggest value? (a) 0 (b) 4 (c) o
b
Let t(c) = -c**3 + 11*c**2 - 30*c + 13. Let d be t(7). What is the second biggest value in -0.2, 1/3, 39, d?
1/3
Let n(x) = x**2 + 8*x - 117. Let o be n(-16). What is the second smallest value in -5, o, -1/2?
-1/2
Suppose 40 - 36 = 2*n. Let w = 3.1 - 3. Let r = w - 0.5. What is the third smallest value in n, 0.4, r?
n
Let m = 7 - 9. Suppose v = -v + 2. Let u be -2*(3/(-57))/v. What is the third smallest value in m, -5, u?
u
Let h = 33 + -32. Let q = -0.12 + 1.42. Let w = h - q. What is the second biggest value in -5, -2, w?
-2
Let q = -0.03 + 0.13. Let f = -0.6 + 0.9. Let r = f - q. Which is the third biggest value? (a) -2/9 (b) r (c) 0.5
a
Let z = 0.83 + 45.17. Let k = z - 45.5. Which is the biggest value? (a) -0.3 (b) k (c) 30 (d) -2/5
c
Let x = 1.4 + -5.4. Let j = -3 - x. Let a = -1 + -1. What is the second smallest value in a, 2/7, j?
2/7
Let t be (-3)/(-15) + (-48)/(-120). Which is the second smallest value? (a) -7 (b) -4 (c) t (d) 0.2
b
Let b = -0.21 + 8.21. Let a = 3 - b. Let v = -165 + 327/2. What is the third biggest value in v, a, 2?
a
Let r = 14 + -13.66. Let q = r + 12.66. Let m = q + -8. Which is the biggest value? (a) -2/7 (b) m (c) 4
b
Let o = -5 - -4.7. Let z be 4 - (-2 - 0) - -1. Suppose 6*j = -j - z. Which is the third smallest value? (a) o (b) j (c) 2/5
c
Let x be (-1)/(-5) + (-429)/(-1155). Let k(v) = v + 7. Let l be k(-7). What is the biggest value in 2, x, l?
2
Let d = -40 + 71. Let f = d - 31.29. Let u = f - 0.11. Which is the third smallest value? (a) -5 (b) -3 (c) u
c
Let t = 2/915 + -632/10065. Which is the smallest value? (a) -3/16 (b) 1 (c) t (d) -5
d
Let o = -0.27 + 0.29. Let k = -0.18 - o. Which is the second biggest value? (a) -5 (b) -0.4 (c) k
b
Let p = 0.1 + 4.9. Let l = -16.55 - -17. Let t = 0.65 - l. What is the second smallest value in p, 0.5, t?
0.5
Let k = -2.1 - -3.1. Which is the second smallest value? (a) 20 (b) 0 (c) k
c
Let z = -347 - -347.1. Let d = 0.5 + 2.5. What is the third biggest value in z, 22, d?
z
Let z = 0.0228 - -2.9772. What is the biggest value in 0.1, 1/2, z?
z
Let m = 349/845 - 36/169. Which is the second smallest value? (a) m (b) -0.089 (c) -3
b
Suppose -5*c + m + 10 = -0*c, c - 5*m - 26 = 0. Let u = -1328 - -1327. What is the second biggest value in -0.5, 3, u, c?
c
Let g = 197.17 + -197. What is the third smallest value in g, -0.2, 5, -0.3?
g
Let f = -113 - -113. Which is the second smallest value? (a) -1/5 (b) -5 (c) 2/5 (d) f
a
Let j be 3 + (-3)/(-7)*475/(-75). Which is the fourth biggest value? (a) 4 (b) -3 (c) j (d) -5
d
Suppose 11 - 55 = -22*h. Let j = 13 + -15.2. Let k = 0.2 + j. Which is the biggest value? ( | {
"pile_set_name": "DM Mathematics"
} |
- 76*a. Let w(r) = -282*r**3 + 3*r**2 + 3*r. Give 3*s(o) + 76*w(o).
-285*o**3
Let z(w) = -4*w + 2. Suppose 5*r + 4*g = 0, -4*r - 46 + 15 = -3*g. Let u be (r/(-16))/(2/(-8)). Let y(m) = m. Determine u*z(s) - 3*y(s).
s - 2
Let b(k) = -94*k**2 - 6. Let c(t) = 95*t**2 - t + 4. Calculate -2*b(n) - 3*c(n).
-97*n**2 + 3*n
Let x be ((-3)/6)/((-6)/12). Let c(s) = s**3. Let o(a) = -3 + 7 + a**2 + 0 - 3. What is x*o(j) + c(j)?
j**3 + j**2 + 1
Let o(f) = -10*f**3 - 91*f - 3. Let m(d) = -7*d**3 - 61*d - 2. Calculate 7*m(n) - 5*o(n).
n**3 + 28*n + 1
Let m(f) = -12*f - 9. Let l(u) = -12*u - 9. Let c(a) = -6*l(a) + 5*m(a). Let g(o) = 3*o + 2. Suppose 9*d + 207 = 32*d. Give d*g(b) - 2*c(b).
3*b
Let w(t) = 5*t**2. Let f(g) = 2*g**3 + 11*g**2 + 9*g. Let v be f(-5). Let y = v - -9. Let x(u) = -9*u**2. What is y*w(n) - 6*x(n)?
-n**2
Let z(f) = 3*f + 1. Let h(n) = -4*n. Let s be 612/216 + (-3)/(-18). Give s*z(l) + 2*h(l).
l + 3
Let d(j) = -3*j + 14. Let p(g) = 2*g - 10. Let s(a) = 5*d(a) + 7*p(a). Let f(k) = 3*k - 3. Calculate -f(z) - 4*s(z).
z + 3
Let h(p) = p**2 - p - 4. Let a be h(-2). Let y be 3*(a/7)/((-33)/(-77)). Let r(g) = g**2 + 2*g + 2. Let b(f) = 4*f**2 + 11*f + 11. Determine y*b(j) - 11*r(j).
-3*j**2
Let f(q) be the third derivative of -q**4/24 + q**2. Let u(i) = -i - 1. Suppose -29*x + 32*x + 6 = 0. What is x*f(n) - u(n)?
3*n + 1
Let l(k) = 31*k**2 - 8*k + 5. Let z(i) = -13*i**2 + 4*i - 2. Calculate 2*l(y) + 5*z(y).
-3*y**2 + 4*y
Let f(p) = -4*p**3 + p**2 + 5*p + 4. Let g be (-1)/4 - -82*2/16. Let a(u) = -2*u**3 - 2*u + g*u**2 + 2 - 20*u**2 + 11*u**2 + 5*u. Calculate -5*a(j) + 3*f(j).
-2*j**3 - 2*j**2 + 2
Let t(k) = -8*k - 5. Let j(i) = -1. Give -6*j(h) + t(h).
-8*h + 1
Let a(o) = o**3 + 2*o**2 - 4*o - 1. Suppose 2*p = -4*b + 18, -p + 6 + 5 = 4*b. Let n(h) = 3*h**3 + 7*h**2 - 12*h - 3. Calculate p*a(d) - 2*n(d).
d**3 - 4*d - 1
Let a(b) = 23*b - 29. Let l(u) be the second derivative of 2*u**3/3 - 5*u**2/2 + 2*u - 9. Calculate 6*a(f) - 34*l(f).
2*f - 4
Let o be 5 - (18/(-3) + 36/6). Let b(g) = 7*g + 1. Suppose 4*h + h = 30. Let q(d) be the third derivative of -d**4/4 - d**3/6 + d**2. What is h*q(f) + o*b(f)?
-f - 1
Let v = 285 - 279. Let d(t) = 2*t + 3. Let o(r) = 9*r + 11. What is v*o(z) - 22*d(z)?
10*z
Let d(l) = 2*l**2 + 1. Let v be d(-2). Let i(r) = -5*r. Let o(x) = 20. Let p(j) = -11*j - 120. Let b(c) = -6*o(c) - p(c). Determine v*i(g) + 4*b(g).
-g
Let r = 20 + -19. Let n(g) = -g - 1. Let s(z) = -26*z + 10*z + 11*z. Calculate r*s(l) - 3*n(l).
-2*l + 3
Let a(t) = -101*t**2 + t - 1. Let c(d) = 102*d**2 - d + 1. What is 3*a(v) + 4*c(v)?
105*v**2 - v + 1
Let y(k) = k. Let x(r) = -917*r - 1. What is x(n) - 4*y(n)?
-921*n - 1
Let i(g) = -5*g**3 - g**2 + g + 1. Suppose 4*q - 11*p = -6*p - 14, 6 = 2*q + 4*p. Let y(f) = f**3 + f**2 - f - 1. What is q*i(a) - y(a)?
4*a**3
Let w(a) = -7*a**2 + 8*a - 5. Let x(j) be the first derivative of -j**3/3 + j**2/2 - j + 25. Give w(k) - 6*x(k).
-k**2 + 2*k + 1
Let i(s) = -s**2. Let d = 2085 - 2086. Let x(p) = -7*p**2 + 6. Give d*x(n) + 5*i(n).
2*n**2 - 6
Let q(y) = -7*y + 3. Let m = 6 + -12. Let f(r) = -4*r + 29. Let n(l) = 5*l - 35. Let v(u) = 6*f(u) + 5*n(u). Give m*v(i) - q(i).
i + 3
Let l(q) = 2*q - 1. Let f(d) = -4*d**3 - 3*d - 2. Determine f(i) - 4*l(i).
-4*i**3 - 11*i + 2
Let q(g) = -9*g**2 - 5*g - 9. Let t(c) = -5*c**2 - 3*c - 5. Let p(i) = 2*i**3 + i**2 - 14*i - 20. Let b be p(-2). Calculate b*q(w) + 7*t(w).
w**2 - w + 1
Let r(a) = 8*a + 5. Let o(v) = -2*v + 24542 - 3*v + 12*v - 24537. Give 7*o(p) - 6*r(p).
p + 5
Let q(d) = -123*d**2 + 9*d + 1. Let t(y) = -3*y. Determine -q(g) - 3*t(g).
123*g**2 - 1
Let i(o) = -4*o**2 + o - 1. Suppose -27*j + 35*j + 16 = 0. Let m(t) = 5*t**2 - 2*t + 1. Determine j*m(r) - 3*i(r).
2*r**2 + r + 1
Let m(s) = 17*s**2 - 5*s + 23. Let b(t) = -3*t**2 + 2*t - 2. Determine -3*b(j) - m(j).
-8*j**2 - j - 17
Let f(t) = t**3. Let w = 101 + -95. Let a(r) = r**3. Determine w*f(o) - a(o).
5*o**3
Let m(q) = 3*q - 33. Let n(y) = -y + 1. Give m(r) + 5*n(r).
-2*r - 28
Let p(y) = 20*y - 31. Let j(g) = -61*g + 90. Calculate 6*j(w) + 17*p(w).
-26*w + 13
Let h(p) = 7*p**2 + 11*p - 6. Let g = -1 - 2. Let y(t) = t. Let j(b) = g*y(b) + h(b). Let r(w) = 15*w**2 + 17*w - 13. Determine -13*j(s) + 6*r(s).
-s**2 - 2*s
Let x(w) = w**2 - 5*w + 7. Let t be (-2 - 8/5)/(12/(-30)). Suppose -1 + t = 4*k. Let d(s) = s**2 - 2*s + 3. Calculate k*x(r) - 5*d(r).
-3*r**2 - 1
Let z(i) = i + 1. Let s(b) = -b - 2. Let n be s(-2). Suppose -h + 3 - 4 = n. Let u(o) = 2*o. Let f = -51 - -52. Calculate f*z(k) + h*u(k).
-k + 1
Let q(n) = 16*n + 11. Suppose -4*o = 3*i + 44, -3*o + i = -0*i + 33. Let c(h) = 5*h + 4. Determine o*c(b) + 4*q(b).
9*b
Let h = -4 + 6. Let i(j) = -4*j + j**2 - h + j**2 - j**3 - 3*j**3. Let w(s) = 3 - 2 + 5*s**3 - 7*s**2 + 8*s**3 + 13*s + 6. What is 7*i(y) + 2*w(y)?
-2*y**3 - 2*y
Let d(g) = -5*g**3 - 134*g**2 - 8. Let v(m) = 2*m**3 + 45*m**2 + 3. Determine -3*d(t) - 8*v(t).
-t**3 + 42*t**2
Let a(u) = -2. Let f(j) = 82*j - 5. Give 3*a(w) - f(w).
-82*w - 1
Let q(v) = v. Suppose -4*w - 18 = -2*s + s, 0 = s - 5*w - 23. Let r(b) = 51*b - 356. Let x be r(7). Let j(o) = 4*o + 1. What is s*q(z) + x*j(z)?
2*z + 1
Let v(f) = 22*f**3 - 6*f**2 - 13*f + 7. Let s(x) = -41*x**3 + 11*x**2 + 25*x - 13. Determine -6*s(b) - 11*v(b).
4*b**3 - 7*b + 1
Let o(q) = 4*q**3 - 8*q**2 + 5. Let z(d) be the first derivative of -3*d**4/4 + 7*d**3/3 - 4*d - 386. Give -5*o(n) - 6*z(n).
-2*n**3 - 2*n**2 - 1
Let n(o) = -5*o**2 - 4*o - 1. Let y(h) = 11*h**2 + 7*h + 3. What is 5*n(k) + 2*y(k)?
-3*k**2 - 6*k + 1
Let x(y) = -3*y**3 - 5*y**2 - 7. Let c(s) = -2*s**3 - 2*s**2 - 3. Suppose 12 = f + 5*m + 10, -3*f = m - 6. Give f*x(a) - 5*c(a).
4*a**3 + 1
Let m(q) be the second derivative of 7*q**4/12 + q**2 + 181*q + 3. Let a(y) = 8*y**2 + 3. Calculate 4*a(x) - 6*m(x).
-10*x**2
Let o = -8 + -4. Let f(b) = -2*b + 5. Let w(l) = -9*l + 21. Let x(a) = -4*f(a) + w(a). Let d(h) = -10*h + 12. Calculate o*x(g) + d(g).
2*g
Let k(b) = b + 1. Let c(a) = -24 + 24 + a. Let x(j) = j + 3. Let o(y) = 4*c(y) + x(y). What is 3*k(s) - o(s)?
-2*s
Let u(v) be the first derivative of -v**3/3 + v**2/2 - v - 64. Let k(q) = -2*q**2 + q - 1. Determine 3*k(d) - 4*u(d).
-2*d**2 - d + 1
Let f(q) = 1. Suppose 2*b + 49 = 2*p + 5*b, -5*p - 5*b + 130 = 0. Let s = p + -23. Let j(w) = w + 4. Give s*f(o) - j(o).
-o + 2
Let x(j) = -7*j**3 - j**2 + 5*j. Let i(p) = -6*p**3 - p**2 + 4*p. Let a(b) = 2*b**2 + 2*b - 184. Let h be a(-10). Calculate h*x(s) + 5*i(s).
-2*s**3 - s**2
Let x(y) = y**2 + 10*y - 90. Let z be x(-16). Let c(p) = 5*p**3 + 6*p**2 + 5*p - 5. Let f(s) = 4*s**3 + 7*s**2 + 6*s - 6. What is z*c(m) - 5*f(m)?
10*m**3 + m**2
Let k(a) = 2*a - 9. Let v(b) = -b + 3. Let q = 1388 - 1396. What is q*v(x) - 3*k(x)?
2*x + 3
Let f(g) = -2*g**2 - 9*g + 1. Let o(z) = 4*z**2 + 17*z - 2. Give -5*f(x) - 2*o(x).
2*x**2 + 11*x - 1
Let n(x) = -2. Let a(o) = -539*o - 70. Calculate a(q) - 35*n(q).
-539*q
Suppose -j = 4*k + 3, -12*j - 5 = 2*k - 15*j. Let d(n) = 3*n. Let y(c) = -c + 1. Calculate k*d(i) - 2*y(i).
-i - 2
Let o(n) = 1. Let s(k) = 2. Let b(r) = -3*o(r) + 2*s(r). Suppose 7*h = 5*h + 2. Let y(m) = 2 - 3 - 3 - m**2 + 2. What is h*y(p) + 4*b(p)?
-p**2 + 2
Let v(q) = -2*q + 5. Let i(h) be the first derivative of -3*h**2/2 + 9*h - 231. Calculate -3*i(o) + 5*v(o).
-o - 2
Suppose -5 + 4 = t + n, -4*n = -5*t + 40. Let y(b) = -20*b + 9. Let x(p) = 5*p - 2. Determine t*y(s) + 18*x(s).
10*s
Let m(a) = -664*a**3 - 10*a**2 + 5*a + 5. Let n(x) = x**3 + 2*x**2 - x - 1. What is -m(r) - 5*n(r)?
659*r**3
Let n(d) = 0*d**2 + 2 + 2*d**2 - 1. Let w(m) = -m. Let k(c) = -c**3 + 8*c**2 - 2*c + 16. Let z be k(8). Suppose t + 9 - 10 = z. Calculate t*w(q) - n(q).
-2*q**2 - q - 1
Suppose 30*h = 678 - 588. Let t(k) = k**2 - 4*k + 5. Let u(d) = -3*d**2 + 7*d - 11. Calculate h*u(g) + 7*t(g).
-2*g**2 - 7*g + 2
Let g(v) = -934*v - 8. Let s(w) = w - 2. Calculate -g(j) + 4*s(j).
938*j
Let o(p) = -27*p**3 + 28 - 5*p - 13*p**2 - 56 + 15 - 8*p. Let d(v) = 13*v**3 + 6*v**2 + 6*v + 6. Determine 13*d(g) + 6*o(g).
7*g**3
Let n(c) = c + 6. Let s(y) = -y**2 + y + 7. Let u(t) = -6*n(t) + 5*s(t). Let g(m) = 14*m**2 + 2*m + 3. Let p be (3/(-9) - (-2)/3)*24. Calculate p*u(w) + 3*g(w).
2*w**2 - 2*w + 1
Let t(g) = g**3 + 7*g**2 - 9*g | {
"pile_set_name": "DM Mathematics"
} |
/f)**(-2/11)/(f**8)**(-5/6) assuming f is positive.
f**(190/33)
Simplify (z**(1/4)/z)**(15/8)/(z**(-1/3)/z**(-2/41)) assuming z is positive.
z**(-4415/3936)
Simplify (((g/g**11)/g)**(2/45))**34 assuming g is positive.
g**(-748/45)
Simplify h**(-24)/h**(-4/9)*h**19/h*h**(-2/41) assuming h is positive.
h**(-2068/369)
Simplify (b**(-2)*b/b**(-1/3))/(b**4/b)**(-20) assuming b is positive.
b**(178/3)
Simplify ((((i*i*(i*i**(-7/3))/i)/i)/i)/i)/i**(9/4)*(i*i**(4/5))/(i**(-3/29)*i) assuming i is positive.
i**(-8143/1740)
Simplify (((b**(-1/4)/b)**(2/53))**(1/20))**2 assuming b is positive.
b**(-1/212)
Simplify p**(-15)*p**(-1/4)*p**(3/2)/(p/(p/(p*p/(p/(((p/p**17*p)/p)/p))*p))*p) assuming p is positive.
p**(1/4)
Simplify ((f*f*f*f*f*f*f*f**(-1/5)*f*f)/f)**4/(f**17/(f*f**6)) assuming f is positive.
f**(106/5)
Simplify ((((o/(o/o**6))/o)/(o/((o**(-6)*o*o)/o*o*o)))**(-1/21))**(-29) assuming o is positive.
o**(29/21)
Simplify (t/t**(9/4)*t**(-10/13))/(t**(-19)/t**(-25)) assuming t is positive.
t**(-417/52)
Simplify (((s/s**5)/s)/s*s*s**(1/12)*s/s**2*s*s**(-2/5)*s)**(1/9) assuming s is positive.
s**(-259/540)
Simplify u**(7/4)/((((u/(u/(u/u**(-19/4))))/u)/u)/u)*(u**(-1/5)*u)/u**(-12) assuming u is positive.
u**(59/5)
Simplify ((j*j*(j**(1/3)*j)/j*j*j*j)/(j**(-1/22)/j))**42 assuming j is positive.
j**(2947/11)
Simplify (((u*u**21)/u*u*u/u**(-5/7))**(-38))**5 assuming u is positive.
u**(-31540/7)
Simplify (((s/(s/(s**(2/17)*s*s*s*s*s)))/s**(-2/13))/(s*((s*s/(s**(-1/4)/s))/s*s)/s)**(-22/3))**23 assuming s is positive.
s**(887639/1326)
Simplify (t**1*t)**(3/16)/((t*t**(1/14))/t)**(-2/7) assuming t is positive.
t**(155/392)
Simplify ((k**(-3/4)/k)/k)/(k*k/(k**(-10/9)*k))*k**(6/17)*k/(k**17*k) assuming k is positive.
k**(-13163/612)
Simplify (q**10)**(-41)/(q**(14/3)/q**(2/3)) assuming q is positive.
q**(-414)
Simplify (a**(1/5)*a)**20/(a/(a/(a/(a/(a/a**(-10)))*a)))**(4/23) assuming a is positive.
a**(504/23)
Simplify ((r**8/r*r)/r)**(-1/15)*(r**(-5/2))**(2/11) assuming r is positive.
r**(-152/165)
Simplify (r/r**(1/3))**(-39)*r**(2/49)*r**(1/6)*r assuming r is positive.
r**(-7289/294)
Simplify (i**(-3/7)*i**15)/(i**(1/4)*i)**(-8/11) assuming i is positive.
i**(1192/77)
Simplify ((v/v**(-2/9))/v**(1/2))**(-41) assuming v is positive.
v**(-533/18)
Simplify (u**(13/2))**25/(u**(13/4)*u*u*u**(-36)) assuming u is positive.
u**(773/4)
Simplify (r/r**(-2/7)*r*r)**43*r/r**(-9)*(r/(r*r*r**(-18)))/r assuming r is positive.
r**(1171/7)
Simplify ((o*o**12)**7)**(-2/81) assuming o is positive.
o**(-182/81)
Simplify (i**(-1))**41/((i**(-5)/i)/i*i*i*i/i**(19/4)) assuming i is positive.
i**(-129/4)
Simplify (((y**26/y)/(y/y**(5/6)))**(5/7))**(-4/7) assuming y is positive.
y**(-1490/147)
Simplify ((o**(-3)*o*o)**34)**(-2/5) assuming o is positive.
o**(68/5)
Simplify ((t**9*t*t*t/(t*t**3/t*t))**(1/4))**16 assuming t is positive.
t**32
Simplify ((v/(v/(v/(v/v**6*v))))/(v**(4/3)*v))**(3/4) assuming v is positive.
v**2
Simplify (t**(2/3)/(t**(-2/45)/t))/(t/((t**4/t)/t))**(-29/2) assuming t is positive.
t**(-1151/90)
Simplify (q**(-6)/q)/(q*q*(q*q/(q/(q**(-1/3)*q)))/q*q)*q/(q**(-25)*q)*q**12 assuming q is positive.
q**(79/3)
Simplify (z/z**10)/z**(-11)*((z**2/z)/z)**(-43) assuming z is positive.
z**2
Simplify r*r*r**(-2/11)*(r*r**12/r*r)/r*(r**(-1/3))**(-20/7) assuming r is positive.
r**(3412/231)
Simplify (v/((v*v**1)/v))**(-5/11)/(v**(2/19)*v*v/v**(-18)) assuming v is positive.
v**(-382/19)
Simplify ((r**(-15/7)*r)/(r/r**(-2)*r))/(r*(r**(2/13)*r)/r)**45 assuming r is positive.
r**(-5193/91)
Simplify ((t/t**19)/(t*t*t*t/t**21*t))/(t*t**(16/9)*t*t**(-8/3)) assuming t is positive.
t**(-28/9)
Simplify o**(-1)/(o**9/o*o)*((o*(o*o**(-1))/o)/o)**(-3/10) assuming o is positive.
o**(-97/10)
Simplify (((u**(-4/7))**3)**(3/7))**(-5/13) assuming u is positive.
u**(180/637)
Simplify (i*i/(i**(-3)/i))**(-11)*(i**(-1/7)*i)**19 assuming i is positive.
i**(-348/7)
Simplify ((g**(-5)/g**(-3/4))**(-3/11))**4 assuming g is positive.
g**(51/11)
Simplify (o*o**9)/o*o/(o/(o*o*(((o*o**10*o*o)/o)/o)/o))*o**(-3/5)/(o**(2/13)/o) assuming o is positive.
o**(1381/65)
Simplify (h*h**(1/27))**16*h**24/h*h**(-7) assuming h is positive.
h**(880/27)
Simplify (p**26/p)/((p*(p/p**(2/3))/p*p)/p)*(p**(-2/19)/p)**(-3) assuming p is positive.
p**(1595/57)
Simplify (x**(-1/7)*x**(5/7))/(x**3)**31 assuming x is positive.
x**(-647/7)
Simplify (d/((((d**(3/2)*d)/d)/d*d)/d))**(5/2)*(d/(d*d**0))**20 assuming d is positive.
d**(5/4)
Simplify (q**4)**5*(q*q*q**(-2/5))**0 assuming q is positive.
q**20
Simplify ((g*g/g**(6/5)*g*g)/((g*(g/(g/(g*g**(-1/27)*g*g)))/g)/g))/(g**7/(g**(1/16)*g)) assuming g is positive.
g**(-11017/2160)
Simplify (k**(-4))**(2/31)/(k**(-1/16)/k)**(-8/7) assuming k is positive.
k**(-639/434)
Simplify k**8/(k/(k*k**(-11)))*(k/((k*k**(-4))/k)*k)/((k*k**(2/17)/k)/k) assuming k is positive.
k**(66/17)
Simplify (r**(2/13)/r)**6/((r**(-21)*r)/(r**(-8/5)*r)) assuming r is positive.
r**(931/65)
Simplify ((h/(h*h**(5/2)))/((h**21/h)/h))/((h/(h*h**0))/h**(-14)) assuming h is positive.
h**(-71/2)
Simplify (((f*(f/f**(14/3))/f)**(-5))**(-1/6))**(-1/4) assuming f is positive.
f**(55/72)
Simplify (r**10/r**(-13/4))**17 assuming r is positive.
r**(901/4)
Simplify ((q**(-3/7)*q*q**(-2/9))/(((q*(((q*q**(-2/3))/q)/q)/q)/q)/(q**(-1/4)*q)))**6 assuming q is positive.
q**(949/42)
Simplify ((v**(2/7)*v)**(-4/5)/(v**0)**(2/49))**7 assuming v is positive.
v**(-36/5)
Simplify ((h**(-4))**(12/7))**(2/7) assuming h is positive.
h**(-96/49)
Simplify (x/x**(-1)*x*x)/(x*x*x*x**5/x*x)*((x*(x/(x/x**7))/x)/x)/(x*x/x**(7/6)) assuming x is positive.
x**(7/6)
Simplify ((y/(y**(-3/4)/y))/y)**(-1/11)*((y/(y/y**(1/8)))/y)/y**(-7/4) assuming y is positive.
y**(63/88)
Simplify (m**(-18)*m)/m*m**(5/6)*(m/(m*(m/(m*(m**(7/2)*m)/m*m))/m*m)*m)**36 assuming m is positive.
m**(1085/6)
Simplify (b/(b*b*b/b**(-9))*b)**(1/72)/(b**(-19))**12 assuming b is positive.
b**(8203/36)
Simplify (((t*t**(-2/13)/t)/(t*t*t**(-3/5)))/((t**(-7)*t)/((t/t**(1/4))/t*t*t*t)))**(-2/61) assuming t is positive.
t**(-1871/7930)
Simplify ((w/w**18)/(w*w*w*w**(-21)))/((w**(1/11)/w)/((w*w**(2/23))/w)) assuming w is positive.
w**(505/253)
Simplify (n*n/n**(1/16)*n*n**(2/29))**(-4/9) assuming n is positive.
n**(-155/116)
Simplify (q/((q*(q**(-3)/q)/q)/q)*q*q**(1/6)/q*((q*q**1*q)/q)**(-3/14))**(-1/6) assuming q is positive.
q**(-241/252)
Simplify n**3*n/(n/(n**18/n*n))*(n*n**(-12)*n)/(n*n/n**(-19)) assuming n is positive.
n**(-10)
Simplify (f**(-5))**2*(f**(-2))**(-8/5) assuming f is positive.
f**(-34/5)
Simplify f**4/f*f**(-15/7)*f*f**(-2/7)*f**1 assuming f is positive.
f**(18/7)
Simplify (l**(-15)/l)**35*(l**(-2/21)*l)**(-31/2) assuming l is positive.
l**(-24109/42)
Simplify ((v*(v/(v**(5/4)/v))/v)/(v*(((v/v**(-1/4))/v)/v)/v))/(v*v**(2/13))**1 assuming v is positive.
v**(9/26)
Simplify (d/(d*(d/(d*d*d**12))/d*d)*d)/((d**(-14)*d)/d)*(d**(-2))**(-1/6) assuming d is positive.
d**(85/3)
Simplify (n**(-1/11)*n*n)**44/((n/(n/(n*n**(3/4))))/n)**39 assuming n is positive.
n**(219/4)
Simplify ((n**5*(n/(n/n**(-4))*n)/n)/((n*n**(-3/4))/n*n*(((n*n*n**6*n)/n)/n)/n))**30 assuming n is positive.
n**(-315/2)
Simplify ((n*n**(-1/5)/n*n*n*n)**(3/43)/(n**(2/19)/(n/((n/n**(-1/3))/n)*n*n*n)))**(-13/6) assuming n is positive.
n**(-598507/73530)
Simplify ((z**(-1)/z*z)/(z/(z**1/z)))/(z**(1/6))**(4/5) assuming z is positive.
z**(-32/15)
Simplify ((f*f**(-9)/f)/(f/f**15))/((f**(5/2)*f)/(f*f**(-9)/f)) assuming f is positive.
f**(-15/2)
Simplify (s/s**(-1/2))**25/((s**(-12)*s)/((s*s*s**(-2)/s*s)/s)) assuming s is positive.
s**(95/2)
Simplify j**12*j**(-7)*j**(-15)/((j*j/(j*j*((j/((j*j/j**(-8/7))/j))/j)/j*j))/j) assuming j is positive.
j**(-78/7)
Simplify y**(4/5)*((y/(y/(y**(-8)/y)*y))/y)/y*y*y*(y/(y**(2/5)*y))**(-14/9) assuming y is positive.
y**(-386/45)
Simplify (i**(-4)/i*i**(2/7))/(i*(i**(-2)/i)/i*i)**(2/147) assuming i is positive.
i**(-689/147)
Simplify (j/(j*j**1*j)*j*j*j*j*j*j**(-1/5)/j)/(j/((j/j**14)/j)*j*(j/(((j*j**6)/j)/j))/j) assuming j is positive.
j**(-46/5)
Simplify (r**(22/5)*r*(r*r*r**(-5/3)*r*r)/r)**(1/2) assuming r is positive.
r**(101/30)
Simplify ((g/(g/(g*g**(5/4))))/(g*g*g**(1/44)/g*g*g))/((g/g**(2/15))/g)**(-36) assuming g is positive.
g**(-613/110)
Simplify ((a*(a*a/a**(-13))/a | {
"pile_set_name": "DM Mathematics"
} |
suming z is positive.
z**(-43/6)
Simplify ((((o**(-3)/o)/o)/o)**(-2/3))**(-14) assuming o is positive.
o**(-56)
Simplify (w*w**0*w)**(-1/12)*(w**(-6)/w)**(-47) assuming w is positive.
w**(1973/6)
Simplify (((x**1)**(-8))**(-32))**32 assuming x is positive.
x**8192
Simplify (l**(-10/3))**(-20)*(l*(l/(l/(l**(-23)/l)))/l)/(l**7*l) assuming l is positive.
l**(104/3)
Simplify (((s**(-1)/s)/s)/s*s/(s**(-11)*s))/(s**(-3))**(-17/7) assuming s is positive.
s**(-2/7)
Simplify q**(-1/9)/q**(-5/3)*(q**12)**(1/42) assuming q is positive.
q**(116/63)
Simplify ((w**(-1/5)*w)**(-38)/(w*w/w**(-2/7))**(18/11))**(-27) assuming w is positive.
w**(354888/385)
Simplify ((q**7*q/(q/q**(8/5)*q))/(q*q**(2/27)*q*q**(-10)))**33 assuming q is positive.
q**(23056/45)
Simplify (n**(-1/6)*n*n*n*n*n**(-10)*(n*n**(-2/3)*n)**(-49))**(-1/44) assuming n is positive.
n**(13/8)
Simplify (q*q**23)/(q*q/q**(-19)*q*q)*q*q**13*q*q/q**(-1/21)*q assuming q is positive.
q**(379/21)
Simplify ((o*o*(o*o*o*o**(-16))/o)/((o/o**(-12))/o))/(((o/((o*o/o**(-2/31))/o)*o*o)/o)/o*o**7) assuming o is positive.
o**(-959/31)
Simplify ((r*r*r/(r**(-12/7)/r)*r)/(r**(-3)/r))/((r**(-1)/r)/r)**(-19) assuming r is positive.
r**(-324/7)
Simplify (((p*p**(-9)/p)/p*p*p)/p**(6/5))/((p/p**(-1/14))/p**(-8)) assuming p is positive.
p**(-1279/70)
Simplify (b/(b*b/(b/b**(-12))))/b**2*(b**(-3))**18 assuming b is positive.
b**(-44)
Simplify (((i*i*i**14)/i*i)/i**(-4))/(i**(-5/3)/i**(1/38)) assuming i is positive.
i**(2473/114)
Simplify (q*q*q*q/q**(1/3)*q)/(q/(q*(q/((q/(q/q**(-3/2)*q))/q)*q)/q))*(q/(q/(q*q**(-11)*q)*q))/q*q*q*q**(-9) assuming q is positive.
q**(-53/6)
Simplify (h/h**(2/13))**20*h**(-5)*h*h*(h**(5/6)/h)/h assuming h is positive.
h**(995/78)
Simplify ((y**(-9/2)*y)**(1/64))**(-18) assuming y is positive.
y**(63/64)
Simplify w**(-9/7)/w**(2/29)*(w*w**23)/((w*w*w/((w/(w*w*w/(w/w**(-5/2))*w*w*w))/w)*w)/w) assuming w is positive.
w**(6961/406)
Simplify (m/(m/m**12))**(-4/29)*m/(m**24/m*m)*m*m**(8/3) assuming m is positive.
m**(-1826/87)
Simplify ((((g/(g*g**(-14)))/g)/g)/(g/g**0))/(g**(1/5)*((g**(-24)*g)/g)/g) assuming g is positive.
g**(179/5)
Simplify (h/(h*h/(h/(h*h**2/h))*h))**45*h**(8/3)/h*(h*h**(-2/11)*h*h)/h assuming h is positive.
h**(-4340/33)
Simplify f**(-12/11)/f**15*f*(f**(-1/5)/f)/f*f**(-2/3) assuming f is positive.
f**(-2963/165)
Simplify (((z**(-14)/z)/z)/z**(18/11))/(z**9*z)**(1/27) assuming z is positive.
z**(-5348/297)
Simplify ((g*g*g**14/g)/((g/(g*((g/(g/((g*g/(g*((g*g**4)/g)/g))/g)))/g)/g))/g*g))/(g/(g*g/(g/(g/g**(-3)))))**(2/95) assuming g is positive.
g**(958/95)
Simplify (z/z**(-5/6)*z/z**(1/5))/(z**(-3/5)/z)**(1/7) assuming z is positive.
z**(601/210)
Simplify b/(b/b**3)*b/(b*b**(-1/34))*(((b*b**(-2/25))/b)/b)/b**(1/11) assuming b is positive.
b**(17377/9350)
Simplify (((p**(-16)*p)/p**(-2/9))**(-31))**(1/5) assuming p is positive.
p**(4123/45)
Simplify ((s/(s*s**(3/7)))/(s*(s**(-1/14)*s*s)/s*s))**(8/5) assuming s is positive.
s**(-188/35)
Simplify ((r*r*r**14)/(r*r*r**(3/4)*r*r*r))/(r/r**(-2/17)*(r*(r/(r/(r/(r*r/(r*r**(-3))))))/r)/r*r) assuming r is positive.
r**(825/68)
Simplify (x**(-6/7))**(-2/77)*x**(-2/7)/(x**(-10/3)/x) assuming x is positive.
x**(6581/1617)
Simplify (f*f*f/(f*(f**5/f*f)/f*f)*f*f)**(2/131)/(f*f**(-2/11))**(12/19) assuming f is positive.
f**(-14566/27379)
Simplify (u**(23/2)*u**(3/8)*u*u)**(-12) assuming u is positive.
u**(-333/2)
Simplify (g**(-2/5)*g)**(-45)*g**(-1/29)/g*g*g*(g**(-4)/g)/g assuming g is positive.
g**(-929/29)
Simplify k**0/(k*k**1*k)*k**8/k**(-2/7) assuming k is positive.
k**(37/7)
Simplify u*u**(1/2)/u*u*u**(2/13)*(u*(u/(u/(u/(u/u**(-22)))))/u)/u**(-1/5) assuming u is positive.
u**(-2619/130)
Simplify (((t/t**4)/t*t/t**(2/13))/(t*t**(-2))**(2/13))**0 assuming t is positive.
1
Simplify (x*x*x**(1/4))**(4/21)/(x/(x*x*x**(-3)*x*x*x))**4 assuming x is positive.
x**(31/7)
Simplify (i**(1/4)*i**(-18)/i)/(i**10*(i/(i/(i/i**(2/21))))/i) assuming i is positive.
i**(-2407/84)
Simplify (u**(-13/4)/(u/(((u*u*u**(2/11)*u)/u*u)/u)))/(u/((u/(u*u**4*u))/u)*u*u/(u*u**(-1/20))) assuming u is positive.
u**(-1113/110)
Simplify (l**(-19))**(-24)*l**(-2/23)/l**(-10) assuming l is positive.
l**(10716/23)
Simplify (p/(p**(-12/11)*p)*p)/((p/p**13)/p)*p**(-20)*p**(10/9)/p assuming p is positive.
p**(-475/99)
Simplify ((d/d**0)/d)/d*d*d**(-7)*(d*d**1/d)/(((d/d**(7/4))/d)/d) assuming d is positive.
d**(-13/4)
Simplify (((b*(b*(b*b**(-7))/b*b)/b*b)**33)**(5/7))**(-23) assuming b is positive.
b**(15180/7)
Simplify ((u**(-13)*u)/(u*u*u/((u*u**(-3)*u)/u)))/((u*u**(1/3))/((u*u*u/(u*(u/u**8)/u))/u)) assuming u is positive.
u**(-28/3)
Simplify (((j*j**(2/11))/j)**(6/11)/(j*(((j*j*(j*j**(-2))/j)/j)/j*j)/j)**(-35))**(-29/5) assuming j is positive.
j**(122467/605)
Simplify (l**(1/7)/l*(l/(l/l**(-3/8)*l*l*l))/l)/(l**3/l)**17 assuming l is positive.
l**(-2197/56)
Simplify (((l**4)**(1/7))**(-1/2))**(-22) assuming l is positive.
l**(44/7)
Simplify ((f/(f**5/f)*f**(-4))/((f*f/(f**(3/2)*f)*f)/(f*f**(-2/5))))**(-6) assuming f is positive.
f**(207/5)
Simplify i*((i*i*i*(i*(i**(-3/2)*i)/i*i*i)/i*i*i)/i)/i*i*i/i**(2/3)*i*i**1*i*i*(i/(i*i**(-4/5)))/i*i*i*i assuming i is positive.
i**(379/30)
Simplify (s/s**(-5))**(-46)*(s*(s**(-6/7)/s)/s)**(-2/35) assuming s is positive.
s**(-67594/245)
Simplify ((f*f/(f*f**21))/f*f**(-4/9))**(2/19) assuming f is positive.
f**(-386/171)
Simplify (q**(3/13)/q*q**(-4/3))/((q*q*q/(q/(q/q**(-19))))/q)**45 assuming q is positive.
q**(-36937/39)
Simplify (a*a**(1/15))/(((a/(a/(a/(a/((a*a**(-11))/a)))))/a*a*a)/a)*a*a/(a/((a*a**(-9))/a))*a*a*a**18 assuming a is positive.
a**(361/15)
Simplify i**(-9/2)/(i/i**3)*(i**(4/3)/i)/((i**(1/15)*i*i)/i) assuming i is positive.
i**(-97/30)
Simplify ((j/j**(-24)*j**(8/7))**(-32))**(-2/21) assuming j is positive.
j**(3904/49)
Simplify ((r**5*r)/(r*r**(-2/29)*r))/(r**(-2/9))**(-35/2) assuming r is positive.
r**(47/261)
Simplify (((h*h*h**14)/((h/(h*h*h*h**(-12)))/h))**(1/75))**(-2/9) assuming h is positive.
h**(-14/675)
Simplify (((j**0)**(-19))**45)**(-13) assuming j is positive.
1
Simplify (j**19*j**(-16))/(j**(-2/37)/j*(j*j/j**(1/14))/j) assuming j is positive.
j**(1619/518)
Simplify (o**(-4/19))**(-28)/(o*o**25*o/o**(-7/6)) assuming o is positive.
o**(-2539/114)
Simplify w**(-9/2)/(w*w**(2/11))*(w/w**(-2/19))**(-36) assuming w is positive.
w**(-19007/418)
Simplify (u*u*u**(-1)*u*u**(-1/6))/(((u/(u**(-15)/u))/u)/u**(-19)) assuming u is positive.
u**(-199/6)
Simplify ((n**6*n/n**(-4)*n)/(n/(n**0/n))**(-4/17))**(-1/39) assuming n is positive.
n**(-212/663)
Simplify ((d/d**5)/(d**(-24)/d))/(d**(4/5)*((d/(((d**(-13)/d)/d)/d*d*d*d))/d)/d) assuming d is positive.
d**(41/5)
Simplify (((h/((h**(-3)/h*h)/h))/h**(-1/10))/((h/(h/(h**3/h)))/(h/(h*h**3))))**(8/11) assuming h is positive.
h**(4/55)
Simplify (t*t**(2/19))/((t**3*t)/t)*((t/(t*t**13))/t)/(t*t**(2/13)) assuming t is positive.
t**(-4211/247)
Simplify (k**(1/6))**33*k**(5/7)/(k**(-3/13)*k) assuming k is positive.
k**(991/182)
Simplify ((h/(h/(h/(h**(-11)/h))))/h*h)/h*h/(h**(-2/25)/h)*(h**(-1/2))**29 assuming h is positive.
h**(-21/50)
Simplify y/(y*y**(5/6))*y*y*y/(y**(-37)*y)*(y**(-3/23))**18 assuming y is positive.
y**(4943/138)
Simplify (t**(4/5)*t)**(2/23)/((((((t**(-4/7)/t)/t*t)/t)/t*t)/t)/(t*t**17*t)) assuming t is positive.
t**(18296/805)
Simplify g**(-2/73)/g**(-4)*(g**(-9/4))**(1/10) assuming g is positive.
g**(10943/2920)
Simplify (z*z**(7/2)*z**(5/6))**(10/13) assuming z is positive.
z**(160/39)
Simplify (((p*p*((p*p*p**(-5)/p)/p)/p*p*p)**13)**(-1/11))**(-15) assuming p is positive.
p**(-390/11)
Simplify (u**(-2/17)/u)**(-2/5)*(u*u**(-1/4))**(-22) assuming u is positive.
u**(-2729/170)
Simplify (j**(-28)*j**18)/(j**(-2/5)*j*j**19) assuming j is positive.
j**(-148/5)
Simplify z**(-5/6)*z/((z**5/z)/z)*z*(z*z/(z/z**(1/7)*z))/z**(-3) assuming z is positive.
z**(55/42)
Simplify (((z**7*z)/(z*z*z**(-2/3)*z))/(z*z/(z*z**(-5/3))*z/(z*((((((z/z**6*z)/z)/z)/z*z)/z)/z)/z)*z))**(6/13) assuming z is positive.
z**(-42/13)
Simplify ((t**(-1/8)/t**(-5/4))/(t**0/(t**(-1/6)/t*t)))**(20/7) assuming t is positive.
t**(115/42)
Simplify ((u**(2/69)*u)/((u*u*u**(-17)/u)/u))/(u**(-2/33)/u**(2/5)) assuming u is positive.
u**(70168/3795)
Simplify (((c*c**(-1/5))/c**(-4))/(c/(c*c/((c*(c** | {
"pile_set_name": "DM Mathematics"
} |
hat is the w'th term of -17053, -17028, -16971, -16870, -16713?
2*w**3 + 4*w**2 - w - 17058
What is the l'th term of 31259222, 31259204, 31259190, 31259180, 31259174, 31259172, 31259174?
2*l**2 - 24*l + 31259244
What is the p'th term of 1961100, 3921645, 5882190, 7842735, 9803280, 11763825?
1960545*p + 555
What is the o'th term of 114262, 228585, 342908, 457231?
114323*o - 61
What is the z'th term of 113685142, 227370290, 341055442, 454740598, 568425758, 682110922, 795796090?
2*z**2 + 113685142*z - 2
What is the m'th term of -4647, -8360, -12071, -15780, -19487, -23192, -26895?
m**2 - 3716*m - 932
What is the w'th term of -2206987, -8827918, -19862789, -35311594, -55174327?
w**3 - 2206976*w**2 - 10*w - 2
What is the d'th term of 114694, 229394, 344092, 458788, 573482?
-d**2 + 114703*d - 8
What is the s'th term of -778, -3454, -8178, -15166, -24634, -36798?
-36*s**3 - 808*s**2 + 66
What is the d'th term of -1544, -3035, -5418, -8693, -12860, -17919?
-446*d**2 - 153*d - 945
What is the t'th term of -294466518, -294466519, -294466520?
-t - 294466517
What is the z'th term of -3859, -3896, -3949, -4018, -4103, -4204?
-8*z**2 - 13*z - 3838
What is the c'th term of 5915533, 23662135, 53239805, 94648543, 147888349?
5915534*c**2 - 1
What is the v'th term of -2275, -11989, -28159, -50791, -79891, -115465?
-v**3 - 3222*v**2 - 41*v + 989
What is the g'th term of -2021, -3064, -4785, -7184, -10261, -14016, -18449?
-339*g**2 - 26*g - 1656
What is the y'th term of -30765455, -30765454, -30765453, -30765452, -30765451, -30765450?
y - 30765456
What is the f'th term of -9151951, -18303904, -27455857, -36607810?
-9151953*f + 2
What is the x'th term of -1166296, -1166298, -1166300, -1166302, -1166304, -1166306?
-2*x - 1166294
What is the h'th term of 13754, 54892, 123316, 218912, 341566?
-19*h**3 + 13757*h**2 + 16
What is the n'th term of -458, -1420, -3058, -5372, -8362, -12028, -16370?
-338*n**2 + 52*n - 172
What is the q'th term of 3066254, 12264982, 27596188, 49059866, 76656010, 110384614, 150245672?
-q**3 + 3066245*q**2 + 10
What is the j'th term of -1156346, -1156337, -1156342, -1156367, -1156418?
-j**3 - j**2 + 19*j - 1156363
What is the w'th term of -3038, -6024, -9042, -12098, -15198, -18348, -21554, -24822?
-w**3 - 10*w**2 - 2949*w - 78
What is the h'th term of 279, 2180, 7321, 17322, 33803, 58384, 92685?
270*h**3 + 11*h - 2
What is the c'th term of -13540, -29068, -44614, -60178, -75760, -91360, -106978?
-9*c**2 - 15501*c + 1970
What is the a'th term of 125560, 251202, 376840, 502474, 628104, 753730, 879352?
-2*a**2 + 125648*a - 86
What is the r'th term of -76703, -76668, -76613, -76538, -76443?
10*r**2 + 5*r - 76718
What is the q'th term of 3293, 3379, 3519, 3719, 3985, 4323?
q**3 + 21*q**2 + 16*q + 3255
What is the m'th term of -47933, -47427, -46921, -46415, -45909?
506*m - 48439
What is the a'th term of 10321795, 10321801, 10321795, 10321771, 10321723?
-a**3 + 13*a + 10321783
What is the w'th term of 70155, 280652, 631483, 1122648, 1754147?
70167*w**2 - 4*w - 8
What is the o'th term of -1590190, -1590244, -1590298, -1590352, -1590406?
-54*o - 1590136
What is the h'th term of -895, -1951, -3243, -4771, -6535?
-118*h**2 - 702*h - 75
What is the q'th term of 9306, 9382, 9470, 9570?
6*q**2 + 58*q + 9242
What is the s'th term of 2445, 18125, 60263, 142089, 276833, 477725?
2205*s**3 - s**2 + 248*s - 7
What is the y'th term of 156598, 156562, 156526, 156490, 156454?
-36*y + 156634
What is the m'th term of 30693, 61132, 91597, 122100, 152653, 183268?
2*m**3 + m**2 + 30422*m + 268
What is the m'th term of -9121, -73584, -248699, -589792, -1152189, -1991216?
-9221*m**3 + 84*m + 16
What is the q'th term of 317266, 317993, 318720?
727*q + 316539
What is the a'th term of -29014, -28334, -27654, -26974, -26294?
680*a - 29694
What is the q'th term of 166244, 664970, 1496180, 2659874?
166242*q**2 + 2
What is the b'th term of 32120965, 64241921, 96362877?
32120956*b + 9
What is the g'th term of -9780, -18511, -27244, -35979, -44716, -53455?
-g**2 - 8728*g - 1051
What is the v'th term of 834549, 1669121, 2503689, 3338253, 4172813, 5007369, 5841921?
-2*v**2 + 834578*v - 27
What is the w'th term of 3207, 12779, 28743, 51099, 79847?
3196*w**2 - 16*w + 27
What is the u'th term of -1103202960, -1103202961, -1103202962, -1103202963, -1103202964?
-u - 1103202959
What is the d'th term of 612562554, 612562553, 612562552, 612562551, 612562550, 612562549?
-d + 612562555
What is the r'th term of -13494, -23614, -33734, -43854, -53974, -64094?
-10120*r - 3374
What is the d'th term of 41280, 82423, 123482, 164457, 205348, 246155?
-42*d**2 + 41269*d + 53
What is the p'th term of -15964, -1859, 12232, 26303, 40348?
-p**3 - p**2 + 14115*p - 30077
What is the f'th term of 12942, 19581, 26220, 32859?
6639*f + 6303
What is the a'th term of 35, 87, 119, 131, 123, 95?
-10*a**2 + 82*a - 37
What is the r'th term of -12936, -49910, -110922, -195972, -305060, -438186, -595350?
-12019*r**2 - 917*r
What is the j'th term of -60860, -244041, -549552, -977399, -1527588, -2200125?
-j**3 - 61159*j**2 + 303*j - 3
What is the l'th term of -86988, -347226, -780954, -1388166, -2168856, -3123018, -4250646?
l**3 - 86751*l**2 + 8*l - 246
What is the t'th term of -26995, -27011, -27027?
-16*t - 26979
What is the y'th term of 49785, 49775, 49761, 49743?
-2*y**2 - 4*y + 49791
What is the m'th term of 2105122, 4210247, 6315372, 8420497?
2105125*m - 3
What is the v'th term of -567124531, -567124526, -567124519, -567124510?
v**2 + 2*v - 567124534
What is the y'th term of 335, 4, -837, -2440, -5057?
-42*y**3 - 3*y**2 - 28*y + 408
What is the m'th term of -1362, 2546, 17016, 47334, 98786?
881*m**3 - 5*m**2 - 2244*m + 6
What is the j'th term of 4958, 4972, 5010, 5084, 5206, 5388, 5642?
2*j**3 + 4956
What is the w'th term of -6508141, -13016296, -19524451?
-6508155*w + 14
What is the u'th term of 431, 749, 1105, 1493, 1907, 2341, 2789?
-u**3 + 25*u**2 + 250*u + 157
What is the z'th term of 44831, 44820, 44805, 44786, 44763?
-2*z**2 - 5*z + 44838
What is the r'th term of 22686, 86412, 192624, 341322, 532506?
21243*r**2 - 3*r + 1446
What is the d'th term of -47595, -47493, -47391?
102*d - 47697
What is the r'th term of -18736762, -37473524, -56210286?
-18736762*r
What is the o'th term of -415, -3487, -11853, -28171, -55099, -95295?
-443*o**3 + 11*o**2 - 4*o + 21
What is the a'th term of 381308, 381382, 381454, 381524?
-a**2 + 77*a + 381232
What is the f'th term of -47500722, -47500725, -47500728?
-3*f - 47500719
What is the s'th term of 6049, 4609, 3169, 1729?
-1440*s + 7489
What is the g'th term of 4835, 19399, 43659, 77603, 121219, 174495, 237419, 309979?
-2*g**3 + 4860*g**2 - 2*g - 21
What is the f'th term of 288, 49, -182, -405?
4*f**2 - 251*f + 535
What is the i'th term of -6654, -38587, -70522, -102459?
-i**2 - 31930*i + 25277
What is the p'th term of -739703, -1479306, -2218801, -2958188, -3697467?
54*p**2 - 739765*p + 8
What is the n'th term of -24085, -47606, -70555, -92932, -114737, -135970, -156631?
286*n**2 - 24379*n + 8
What is the c'th term of -28954855, -28954857, -28954859, -28954861, -28954863, -28954865?
-2*c - 28954853
What is the y'th term of -98395, -98433, -98475, -98521, -98571, -98625, -98683?
-2*y**2 - 32*y - 98361
What is the b'th term of -1713216, -6852832, -15418852, -27411276, -42830104, -61675336?
-1713202*b**2 - 10*b - 4
What is the n'th term of -573, -1315, -2113, -2967, -3877?
-28*n**2 - 658*n + 113
What is the f'th term of 810283, 810264, 810245?
-19*f + 810302
What is the z'th term of 1594156, 3188274, 4782392, 6376510?
1594118*z + 38
What is the d'th term of -18113375, -18113379, -18113383, -18113387, -18113391?
-4*d - 18113371
What is the c'th term of 7950, 7683, 7240, 6621, 5826, 4855, 3708?
-88*c**2 - 3*c + 8041
What is the k'th term of -195020, -194833, -194520, -194081, -193516?
63*k**2 - 2*k - 195081
What is the i'th term of 3483, 11887, 25899, 45525, 70771, 101643?
i**3 + 2798*i**2 + 3*i + 681
What is the h'th term of 23375, 40996, 52857, 58958, 59299, 53880?
-2880*h**2 + 26261*h - 6
What is the n'th term of 30961, 61879, 92709, 123403, 153913, 184191, 214189?
-8*n**3 + 4*n**2 + 30962*n + 3
What is the l'th term of -831851, -1663711, -2495571?
-831860*l + 9
What is the | {
"pile_set_name": "DM Mathematics"
} |
nding order.
5, 4, -5, -178, -413
Sort 7, 0, -4249 in increasing order.
-4249, 0, 7
Sort -96, 1515, 5 in increasing order.
-96, 5, 1515
Sort 5, 0.2, 7/8, 159, 5/4 in descending order.
159, 5, 5/4, 7/8, 0.2
Sort 0.2, 4, -0.048805 in decreasing order.
4, 0.2, -0.048805
Put 2, 0.11, 2/87 in ascending order.
2/87, 0.11, 2
Sort 19, -36, -16, 5 in decreasing order.
19, 5, -16, -36
Sort 396, -3, 15, 16.
-3, 15, 16, 396
Sort 2/5, 3.41, -3/7, -0.5, -6 in decreasing order.
3.41, 2/5, -3/7, -0.5, -6
Sort 110, -1/3, -628, -2 in descending order.
110, -1/3, -2, -628
Put 0, -3, 2, -22660 in descending order.
2, 0, -3, -22660
Put 2/3, 4, -2/1809, -0.2, 3 in increasing order.
-0.2, -2/1809, 2/3, 3, 4
Put -5, 725, -2 in increasing order.
-5, -2, 725
Sort 236, -2, -3, 6 in increasing order.
-3, -2, 6, 236
Put -1/8, 1/2, 0.04, -27/205 in ascending order.
-27/205, -1/8, 0.04, 1/2
Put -1712, 3, 2, -4 in increasing order.
-1712, -4, 2, 3
Sort -49, -1, 0, 4, 2 in descending order.
4, 2, 0, -1, -49
Put 1, -168, -20, -6 in ascending order.
-168, -20, -6, 1
Sort 0.034, 0.2, -5 in descending order.
0.2, 0.034, -5
Sort 1, -263/3, 2 in ascending order.
-263/3, 1, 2
Sort -254, 0, 1/12 in decreasing order.
1/12, 0, -254
Sort 3768, 0, 10 in decreasing order.
3768, 10, 0
Sort -123, -1, 23, 0, -2, -5 in ascending order.
-123, -5, -2, -1, 0, 23
Put 0, 452, -17, 3 in decreasing order.
452, 3, 0, -17
Sort -392, -5, 5, -8, -1 in increasing order.
-392, -8, -5, -1, 5
Put 9, -473, -16 in decreasing order.
9, -16, -473
Put -2, -14, 0.03, 9, 1, 0 in ascending order.
-14, -2, 0, 0.03, 1, 9
Sort 0.45, -53, -3, -0.1, 1.4.
-53, -3, -0.1, 0.45, 1.4
Put 5, 1031, 3, 0 in decreasing order.
1031, 5, 3, 0
Sort 3, 40, -51 in ascending order.
-51, 3, 40
Put 5, -114, -186, -2 in descending order.
5, -2, -114, -186
Put -4, 82, 0, 103 in decreasing order.
103, 82, 0, -4
Sort 4, -861, -4 in ascending order.
-861, -4, 4
Sort -0.3, -975372, -5.
-975372, -5, -0.3
Sort -18, -1, -5, 121446 in descending order.
121446, -1, -5, -18
Sort 0.101, -4, -3, -0.26.
-4, -3, -0.26, 0.101
Put 0.4, 0.5, 0.53, -4, 1 in descending order.
1, 0.53, 0.5, 0.4, -4
Sort 4050, -3, -4 in descending order.
4050, -3, -4
Put 1, 0.3, 1/4, -0.5, -5, 0.0016 in increasing order.
-5, -0.5, 0.0016, 1/4, 0.3, 1
Sort 181, -7, -8, 1 in increasing order.
-8, -7, 1, 181
Put -70, 4, 300, -9 in decreasing order.
300, 4, -9, -70
Sort 1, -7, 13563 in descending order.
13563, 1, -7
Sort 5, -1, 4, 8847, 2 in descending order.
8847, 5, 4, 2, -1
Put 3/5, 2.05, -9, 4, -0.5, 6 in descending order.
6, 4, 2.05, 3/5, -0.5, -9
Sort -3, -19, -1, 345, -4, -5 in increasing order.
-19, -5, -4, -3, -1, 345
Sort -5, -3, 5, 0, -845, 3 in decreasing order.
5, 3, 0, -3, -5, -845
Sort 709003, -0.3, 2 in descending order.
709003, 2, -0.3
Sort -11, 25500, 5 in ascending order.
-11, 5, 25500
Sort 1, -3, -9, -1, 11.2 in descending order.
11.2, 1, -1, -3, -9
Put -2, 250067, 3 in descending order.
250067, 3, -2
Put -84, 0, 60, -2, -9 in ascending order.
-84, -9, -2, 0, 60
Put 0, -1, 64, -41 in increasing order.
-41, -1, 0, 64
Sort 2/3, -52, -1/65 in decreasing order.
2/3, -1/65, -52
Sort -1, -11, -46021.
-46021, -11, -1
Put 2/5, -0.52, -1/2, -0.46 in descending order.
2/5, -0.46, -1/2, -0.52
Sort 92, -12, 130.
-12, 92, 130
Put -0.2, -2.586, -0.1 in ascending order.
-2.586, -0.2, -0.1
Put -0.4, 1, -1, 0, -5202 in decreasing order.
1, 0, -0.4, -1, -5202
Sort -2257, -1/2, -2, -0.1, 0.11 in increasing order.
-2257, -2, -1/2, -0.1, 0.11
Put 2, 3, -4, 3/2, -16/41, 1.8 in descending order.
3, 2, 1.8, 3/2, -16/41, -4
Sort -3, 186/13, -2/3, 2, -0.2, -4 in decreasing order.
186/13, 2, -0.2, -2/3, -3, -4
Sort 35, -0.45, -3, 1/14, -14 in increasing order.
-14, -3, -0.45, 1/14, 35
Put -37, -0.111, -0.1, -0.08 in ascending order.
-37, -0.111, -0.1, -0.08
Sort 1/4, -0.4, 1, 3/16, 22 in decreasing order.
22, 1, 1/4, 3/16, -0.4
Sort 19, -10/111, 3/8, 0.2 in descending order.
19, 3/8, 0.2, -10/111
Put 44, -1, 0, -35, -6, 5 in descending order.
44, 5, 0, -1, -6, -35
Sort -12, 5/7, 13, -0.4, 2 in increasing order.
-12, -0.4, 5/7, 2, 13
Put -4, 5, 5358, -1 in decreasing order.
5358, 5, -1, -4
Sort -12, 4, 2, 75 in increasing order.
-12, 2, 4, 75
Put -1/5, -2, 1/3, -7, 3, 0.3 in ascending order.
-7, -2, -1/5, 0.3, 1/3, 3
Sort -7/2, 0.5, 0.1, 11, 1/45.
-7/2, 1/45, 0.1, 0.5, 11
Put -29, -0.3, 0, 1 in decreasing order.
1, 0, -0.3, -29
Sort -37, -4, 2, -99 in descending order.
2, -4, -37, -99
Sort 0, 7, -15, 20, 5.
-15, 0, 5, 7, 20
Sort -0.06, -1/6, -3, 0.6, -26 in descending order.
0.6, -0.06, -1/6, -3, -26
Put 0.6, -1, 19, -0.4, -0.3 in increasing order.
-1, -0.4, -0.3, 0.6, 19
Put 27, -2, 181, 2, 0, 4 in ascending order.
-2, 0, 2, 4, 27, 181
Sort 23155, 14, 4 in decreasing order.
23155, 14, 4
Sort -4, 1, 4, -31, 3 in ascending order.
-31, -4, 1, 3, 4
Put 3, 5, -2, -380, -5, 2 in increasing order.
-380, -5, -2, 2, 3, 5
Sort 5, 10697, 1 in descending order.
10697, 5, 1
Put -2, 4860, 14 in increasing order.
-2, 14, 4860
Sort -9820, -2, 0 in descending order.
0, -2, -9820
Put 19878, -3, 0 in descending order.
19878, 0, -3
Put -179, -272, 0 in decreasing order.
0, -179, -272
Put 2/17, -3, -1868, 1/2, 4 in descending order.
4, 1/2, 2/17, -3, -1868
Put -699, -5, 4 in decreasing order.
4, -5, -699
Put -4, 4, 3, 14, -2 in increasing order.
-4, -2, 3, 4, 14
Put -10, -2, 0, -3, 1, 48 in ascending order.
-10, -3, -2, 0, 1, 48
Sort -7, -8, 5208.
-8, -7, 5208
Sort 4, -57, -70.
-70, -57, 4
Put 447, 0.5, 11, -4, 1/3 in ascending order.
-4, 1/3, 0.5, 11, 447
Put -36, 0, -1911, 5 in decreasing order.
5, 0, -36, -1911
Sort -1515/4, 1, -2/5 in descending order.
1, -2/5, -1515/4
Sort 12, -82.14, -10 in descending order.
12, -10, -82.14
Sort -3, -1, 1094, 4 in decreasing order.
1094, 4, -1, -3
Sort -1, 23073, -98 in increasing order.
-98, -1, 23073
Put -12, 13794, -4 in descending order.
13794, -4, -12
Put 2/3, 26385, -1, -3/7 in decreasing order.
26385, 2/3, -3/7, -1
Put 4160, 6, 3, -3 in descending order.
4160, 6, 3, -3
Sort -2, -13, -5, -60, 2, -30.
-60, -30, -13, -5, -2, 2
Sort 9/160, 26, 2, -3/8, 0 in increasing order.
-3/8, 0, 9/160, 2, 26
Put -5, 5/3, -4, 2, 329 in ascending order.
-5, -4, 5/3, 2, 329
Put 20, -5, 1463, -2, -3, 2 in ascending order.
-5, -3, -2, 2, 20, 1463
Sort 0.05, 2, 0.3, -2/3, 5606.
-2/3, 0.05, 0.3, 2, 5606
Put 2/13, -249, 0.7 in ascending order.
-249, 2/13, 0.7
Sort 3, 6, 4, -0.1, 0.
-0.1, 0, 3, 4, 6
Put 15, -10, 3, 292 in decreasing order.
292, 15, 3, -10
Put 0, -142526, -2 in descending order.
0, -2, -142526
Sort 11, 3, 0, 1, -19 in increasing order.
-19, 0, 1, 3, 11
Sort -497, 8, 5.7 in increasing order.
-497, 5.7, 8
Sort 3, 5, -68, -7, 9 in descending order.
9, 5, 3, -7, -68
Put 7, 3586, 5 in decreasing order.
3586, 7, 5
Sort -4, 54, -3, 2, -1, 657 in ascending order.
-4, -3, -1, 2, 54, 657
Put 3, 0, -354 in ascending order.
-354, 0, 3
Put -2, 7, -32, -59 in ascending order.
-59, -32, -2, 7
Sort 4, 2/3, -6, 98, 5, 139 in ascending order.
-6, 2/3, 4, 5, 98, 139
Put 1, -3, -1/2, -0.028, 3/5, 219 in increasing order.
-3, -1/2, -0.028, 3/5, 1, 219
Sort -2/15, -5, 1, 3/5, -19, -2/39.
-19, -5, -2/15, -2/39, 3/5, 1
Sort 5, 207, 587 in increasing order.
5, 207, 587
Put 0, -7, -5, 40170 in ascending order.
-7, -5, 0, 40170
Sort 0.5, -6, 10.6, 2, 4.
-6, 0.5, 2, 4, 10.6
Sort 0, -1, -7, 5, -19 in increasing order.
-19, -7, -1, 0, 5
Sort -3, 0.1, -0.4, -619, 0, 5 in descending order.
5, 0.1, 0, -0.4, -3, -619
Put -1, 1410, -89 in decreasing order.
1410, -1, -89
Put 4, 8, -113 in increasing order.
-113, 4, 8
Sort 2, -4, 2/9, -13.41, -0.1 in decreasing order.
2, 2/9, -0.1, -4, -13.41
Put 1, 8, -0.152, -38 in increasing order.
-38, -0.152, 1, 8
Put 3, 119, 0, 14, -10 in descending order.
119, 14, 3, 0, -10
Sort 161, 1, -13, -1/4, -2/9, -3 in descending order.
161, 1, -2/9, -1/4, -3, -13
Sort -4, -3, -5, 2117.
-5, -4, -3, 2117
Sort 5, -1, -4563 in decreasing order.
5, -1, -4563
Sort -0.2, -1.6, 2, 323 in decreasing order.
323, 2, -0.2, -1.6
Put -10, 16, 1, -13, 9 in descending order.
16, 9, 1, -10, -13
Put 5, -6, -5, -4, -2, -14 in descending order.
5, -2, -4, -5, -6, -14
Sort 5, -2, -9, 482 in decreasing order.
482, 5, -2, -9
Put 3, -173.4, 3.82 in ascending order.
-173.4, 3, 3.82
Put 108, -2, | {
"pile_set_name": "DM Mathematics"
} |
+ 62208/5 = 0.
-36, 4
Factor -3*r**2 + 75*r - 138.
-3*(r - 23)*(r - 2)
Find t, given that -5*t**2 + 755*t + 760 = 0.
-1, 152
Suppose 5*a**4 + 565*a**3 + 2200*a**2 + 2180*a = 0. What is a?
-109, -2, 0
Solve -21*g**2/2 - 89*g/2 + 16 = 0.
-32/7, 1/3
Factor 3*j**2/4 + 1419*j/4.
3*j*(j + 473)/4
Factor -4*f**2 + 16*f - 12.
-4*(f - 3)*(f - 1)
Determine k, given that -2*k**5 + 6*k**4 + 22*k**3 - 6*k**2 - 20*k = 0.
-2, -1, 0, 1, 5
Find q such that 3*q**3 - 33*q**2 = 0.
0, 11
Let -2*o**4/9 + 8*o**3/3 + 2*o**2/3 - 68*o/9 - 16/3 = 0. Calculate o.
-1, 2, 12
Factor m**5/2 + 3*m**4 - 3*m**3/2 - 8*m**2 + 6*m.
m*(m - 1)**2*(m + 2)*(m + 6)/2
Factor -2*k**2/9 - 4*k/9.
-2*k*(k + 2)/9
Factor -j**2/2 + 5*j/6 + 11/3.
-(j + 2)*(3*j - 11)/6
Solve 3*h**3 - 2028*h**2 + 344751*h - 681414 = 0 for h.
2, 337
Factor -u**3 + 22*u**2 + 116*u - 312.
-(u - 26)*(u - 2)*(u + 6)
Find k such that -10*k**4/7 + 362*k**3/7 - 1026*k**2/7 + 1006*k/7 - 332/7 = 0.
1, 166/5
Determine m so that -5*m**4 - 1550*m**3 - 120125*m**2 = 0.
-155, 0
Factor 5*f**4 + 90*f**3 + 385*f**2.
5*f**2*(f + 7)*(f + 11)
Find v, given that v**5/3 - 2*v**4 - v**3/3 + 2*v**2 = 0.
-1, 0, 1, 6
Solve -16*h**5 - 232*h**4 + 791*h**3 + 1825*h**2 - 1046*h + 136 = 0.
-17, -2, 1/4, 4
Factor z**2 - 3*z + 2.
(z - 2)*(z - 1)
Factor -r**2/2 + 2*r + 5/2.
-(r - 5)*(r + 1)/2
Determine d, given that -4*d**3 - 596*d**2 - 2336*d - 2320 = 0.
-145, -2
Find d, given that 69*d**4/4 - 489*d**3/4 + 525*d**2/4 + 993*d/4 - 45/2 = 0.
-1, 2/23, 3, 5
Factor 4*o**3 + 144*o**2 - 2748*o + 2600.
4*(o - 13)*(o - 1)*(o + 50)
Factor v**2/2 - 25*v + 48.
(v - 48)*(v - 2)/2
Suppose -3*v**5 - 21*v**4 - 15*v**3 + 21*v**2 + 18*v = 0. What is v?
-6, -1, 0, 1
Let -3*r**5/4 - 69*r**4/4 + 159*r**3/4 + 225*r**2/4 = 0. What is r?
-25, -1, 0, 3
Solve -5*k**2 - 105*k = 0 for k.
-21, 0
Factor -2*m**2 + 994*m + 996.
-2*(m - 498)*(m + 1)
Solve 12*g**4/5 - 28*g**3 + 508*g**2/5 - 116*g + 40 = 0.
2/3, 1, 5
Factor 4*t**3 + 104*t**2 - 464*t + 480.
4*(t - 2)**2*(t + 30)
Let 7*h**5/4 - 27*h**4/4 - 23*h**3/2 + 11*h**2/2 + 39*h/4 + 5/4 = 0. Calculate h.
-1, -1/7, 1, 5
What is j in -10*j**3 - 88*j**2 + 118*j - 20 = 0?
-10, 1/5, 1
Factor g**2/5 + 3866*g/5 + 3736489/5.
(g + 1933)**2/5
Suppose -t**5 - 13*t**4 - 23*t**3 - 11*t**2 = 0. Calculate t.
-11, -1, 0
Suppose -2*g**2/7 + 372*g/7 + 374/7 = 0. Calculate g.
-1, 187
Factor 8*o**2/5 + 769*o/5 + 96/5.
(o + 96)*(8*o + 1)/5
What is y in -4*y**3 - 80*y**2 + 176*y = 0?
-22, 0, 2
Factor 4*u**3 + 56*u**2 - 11040*u.
4*u*(u - 46)*(u + 60)
Suppose 4*w**4/5 + 100*w**3 - 1012*w**2/5 + 508*w/5 = 0. Calculate w.
-127, 0, 1
Factor -2*x**2 + 278*x - 276.
-2*(x - 138)*(x - 1)
Let b**5/4 - 3*b**3/4 - b**2/2 = 0. What is b?
-1, 0, 2
Find b such that 12*b**4 - 308*b**3 + 2216*b**2 - 3072*b + 1152 = 0.
2/3, 1, 12
Factor -4*x**3 - 988*x**2 - 3904*x - 3888.
-4*(x + 2)**2*(x + 243)
Let 4*p**4/5 - 142*p**3/5 - 316*p**2/5 + 568*p/5 + 240 = 0. Calculate p.
-2, 2, 75/2
Solve -2*o**5/3 + 2*o**4 + 26*o**3/3 - 34*o**2 + 24*o = 0.
-4, 0, 1, 3
Factor 4*h**2 - 381*h + 95.
(h - 95)*(4*h - 1)
Find r, given that -r**4/2 + 9*r**3 - 73*r**2/2 + 54*r - 26 = 0.
1, 2, 13
Factor -9*z**4/4 + 17*z**3/2 - 19*z**2/4 - 3*z/2.
-z*(z - 3)*(z - 1)*(9*z + 2)/4
Factor -v**2 + 37*v + 38.
-(v - 38)*(v + 1)
Suppose 2*z**4 - 4528*z**3/3 - 18136*z**2/9 - 672*z = 0. What is z?
-2/3, 0, 756
Factor i**3/7 - 19*i**2/7 + 18*i/7.
i*(i - 18)*(i - 1)/7
Let -45*i**5 + 195*i**4 + 70*i**3 - 660*i**2 + 600*i - 160 = 0. Calculate i.
-2, 2/3, 1, 4
Suppose -55*d**4 - 100*d**3 - 35*d**2 + 10*d = 0. Calculate d.
-1, 0, 2/11
Factor 12*b**5/7 - 3*b**4 + 6*b**3/7 + 3*b**2/7.
3*b**2*(b - 1)**2*(4*b + 1)/7
Factor -i**3/2 + 24*i**2 + 216*i + 448.
-(i - 56)*(i + 4)**2/2
Factor -2*n**2/5 + 8*n - 102/5.
-2*(n - 17)*(n - 3)/5
Solve -10*a**4 - 64*a**3 - 74*a**2 - 20*a = 0.
-5, -1, -2/5, 0
Factor 2*j**4 - 80*j**3 + 1100*j**2 - 6000*j + 11250.
2*(j - 15)**2*(j - 5)**2
Factor 2*a**2 + 58*a + 56.
2*(a + 1)*(a + 28)
Let 12*j**4/7 + 123*j**3/7 - 594*j**2/7 + 516*j/7 + 24 = 0. Calculate j.
-14, -1/4, 2
Solve -2*n**2/3 - 148*n/3 - 1856/3 = 0.
-58, -16
Solve -n**2 - 424*n - 44944 = 0.
-212
Factor 2*n**5/3 - 40*n**4/3 + 52*n**3 + 440*n**2/3 + 242*n/3.
2*n*(n - 11)**2*(n + 1)**2/3
Factor -r**5/4 - 5*r**4/4 - 2*r**3 - r**2.
-r**2*(r + 1)*(r + 2)**2/4
Find k such that -2*k**2/15 - 12*k/5 = 0.
-18, 0
Factor -98*j**3 + 28*j**2 - 2*j.
-2*j*(7*j - 1)**2
Let g**2/2 + 7*g - 15/2 = 0. What is g?
-15, 1
Let -b**3 + 106*b**2 + 436*b + 440 = 0. What is b?
-2, 110
Factor -a**3 + 468*a**2 + 469*a.
-a*(a - 469)*(a + 1)
Solve 9*s**3/5 + 15*s**2 - 54*s/5 = 0 for s.
-9, 0, 2/3
Factor -2*q**2/3 + 20*q/3 - 50/3.
-2*(q - 5)**2/3
Solve -3*d**2/7 - 1896*d/7 - 299568/7 = 0.
-316
Suppose -5*t**4 - 90*t**3 + 115*t**2 + 4680*t - 13520 = 0. Calculate t.
-13, 4
Factor -2*y**2/13 - 830*y/13 + 64.
-2*(y - 1)*(y + 416)/13
Let -5*w**5 + 75*w**3 - 50*w**2 - 120*w = 0. What is w?
-4, -1, 0, 2, 3
Solve -8*h**3 + 268*h**2 + 732*h - 432 = 0.
-3, 1/2, 36
Determine v so that -3*v**5 - 13*v**4 + 6*v**3 + 48*v**2 + 32*v = 0.
-4, -4/3, -1, 0, 2
What is k in -5*k**4 + 20*k**3 - 10*k**2 - 20*k + 15 = 0?
-1, 1, 3
Factor -3*k**4 + 3*k**3 + 36*k**2 + 12*k - 48.
-3*(k - 4)*(k - 1)*(k + 2)**2
Factor t**2/11 - 494*t + 671099.
(t - 2717)**2/11
Factor 4*x**3 + 1308*x**2 + 103584*x - 551120.
4*(x - 5)*(x + 166)**2
Let 2*w**2/3 + 10*w/3 + 8/3 = 0. Calculate w.
-4, -1
Solve -2*w**2/23 + 1060*w/23 - 140450/23 = 0.
265
Solve -16*l**4/3 + 204*l**3 + 156*l**2 = 0 for l.
-3/4, 0, 39
Solve -b**4/3 + 176*b**3/3 - 2460*b**2 - 10800*b = 0 for b.
-4, 0, 90
Factor -m**5 - 6*m**4 - 8*m**3 + 6*m**2 + 9*m.
-m*(m - 1)*(m + 1)*(m + 3)**2
Factor -h**3 - 3*h**2 + 33*h + 35.
-(h - 5)*(h + 1)*(h + 7)
Find m, given that 5*m**5 - 75*m**4 + 195*m**3 - 185*m**2 + 60*m = 0.
0, 1, 12
Factor -3*u**2/5 - 36*u - 300.
-3*(u + 10)*(u + 50)/5
Factor 3*d**2 + 162*d + 459.
3*(d + 3)*(d + 51)
Determine z so that 96*z**5 - 536*z**4 + 964*z**3 - 496*z**2 - 112*z = 0.
-1/6, 0, 7/4, 2
Determine a, given that 2*a**5/7 + 12*a**4/7 + 10*a**3/7 = 0.
-5, -1, 0
Determine n so that -28*n**5 + 356*n**4 + 1364*n**3 + 1676*n**2 + 824*n + 128 = 0.
-1, -2/7, 16
Factor o**5/5 + 552*o**4/5 - 2776*o**3/5 + 5006*o**2/5 - 3897*o/5 + 1114/5.
(o - 2)*(o - 1)**3*(o + 557)/5
What is c in -4*c**4 - 8*c**3 + 4*c**2 + 8*c = 0?
-2, -1, 0, 1
Suppose 3*y**4 - 36*y**3 - 180*y**2 - 192*y = 0. What is y?
-2, 0, 16
Factor -2*k**2/3 + 902*k/3 - 1192.
-2*(k - 447)*(k - 4)/3
Factor -u**4/2 + 38*u**3 + 77*u**2/2.
-u**2*(u - 77)*(u + 1)/2
Determine g so that -2*g**3/9 + 50*g**2/3 + 3164*g/9 - 368 = 0.
-18, 1, 92
Factor -2*r**2/7 + 60*r/7.
-2*r*(r - 30)/7
Factor 3*r**4 - 258*r**3 + 5280*r**2 + 11616*r.
3*r*(r - 44)**2*(r + 2)
Factor 2*j**4/23 - 134*j**3/23 - 204*j**2/23 + 164152*j/23 - 2751280/23.
2*(j - 34)**3*(j + 35)/23
What is o in 5*o**2 + 1240*o - 2500 = 0?
-250, 2
Factor -1069156*t**2/9 + 8272*t - 144.
-4*(517*t - 18)**2/9
Find g such that -4*g**3/5 + 144*g**2/5 - 228*g - 2888/5 = 0.
-2, 19
Find m such that 2*m**2 + 16*m - 18 = 0.
-9, 1
Find l such that -3*l**3/5 - 3*l**2 - 18*l/5 = 0.
-3, -2, 0
Let t**3 - 301*t**2 + 23095*t - 66603 = 0. What is t?
3, 149
Let -2*i**4/3 - 2*i**3 - 2*i**2/3 + 2*i + 4/3 = 0. What is i?
-2, -1, 1
Factor 33*a**3 + 306*a**2 + 705*a.
3*a*(a + 5)*(11*a + 47)
Factor 128*h**3 + 378*h**2 + 238*h - 12.
2*(h + 1)*(h + 2)*(64*h - 3)
Let -t**2 - 4*t + 5 = 0. What is t?
-5, 1
Determine l, given that -3*l**4 - 27*l**3 - 45*l**2 + 75*l = 0.
-5, 0, 1
Let -2*m**5/7 - 222*m**4/7 - 214*m**3/7 + 662*m**2/7 + 216*m/7 - 440/7 = 0. What is m?
-110, -2, -1, 1
Solve 20*i**2/3 + 16*i/3 - 256/3 = 0.
-4, 16/5
Factor 60*v**4 - 2875*v**3 - 965*v**2.
5*v**2*(3*v + 1)*(4*v - 193)
Factor -b**4 + 7*b**3 - 18*b**2 + 20*b - 8.
-(b - 2)**3*(b - 1)
What is i in 4*i**3 + 344*i**2 + 5164*i + 4824 = 0?
-67, -18, -1
Suppose -3*y**2 + 3*y + 216 = 0. What is y?
-8, 9
Factor -2*y**2 - 1160*y - 3462.
-2*(y + 3)*(y + 577)
What is d in 9*d**4/7 - 78*d**3/7 - 5*d**2 + 68*d/7 + 36/7 = 0?
-2/3, 1, 9
Determine a, given that -a**3/4 + 6*a**2 = 0.
0, 24
Factor -3*g**4 + 66*g**3 - 63*g**2.
-3*g**2*(g - 21)*(g - 1)
Factor -l**2 + 165*l + 166.
-(l - 166)*(l + 1)
Suppose 2*x**3/7 - 76*x**2 + 5054*x = 0. Calculate x.
0, 133
What is t in -4*t**5/3 + 136*t**4/3 + 8*t**3/3 | {
"pile_set_name": "DM Mathematics"
} |
+ 89*z + 8. Let q be k(-45). Calculate the greatest common divisor of q and 53.
53
Let t(o) = 3*o**2 - 22*o - 333. Let b be t(-15). What is the greatest common factor of 546 and b?
42
Let o = 331 - 326. Suppose -g = -26*d + 21*d - 53, -o*g - 5*d = -115. Let t be (1 + 3)*21/6. What is the highest common divisor of t and g?
14
Suppose -75*t + 8*t + 77280 = 3*t. Calculate the highest common factor of 1242 and t.
138
Suppose 9*z - 6*z + 754 = 4*n, 0 = 5*n - 5*z - 945. Let v = 257 + n. Calculate the greatest common divisor of v and 12.
12
Suppose o - 5 = 0, -m + o - 223 = -252. Calculate the greatest common divisor of m and 7242.
34
Suppose -3*v + 2813 = -5*d, v - 679 = -2*d + 255. What is the greatest common divisor of 99 and v?
9
Let d = 5462 + -5150. What is the greatest common factor of 96 and d?
24
Let q(h) = 42*h + 598. Let c be q(-13). Calculate the highest common factor of c and 1157.
13
Suppose -102*x - 5*x = -11984. What is the greatest common divisor of 64 and x?
16
Suppose -3*q = -g - 80, 0 = 79*q - 80*q + 2*g + 25. Calculate the greatest common divisor of q and 459.
27
Let t be (1188/(-30))/(6/(-285)). What is the highest common factor of 1026 and t?
171
Let k(h) = 20*h**3 - 2*h**2 + 14*h - 13. Let x be k(1). What is the greatest common factor of x and 304?
19
Let i = 7579 - 7569. Calculate the highest common divisor of 1810 and i.
10
Let z(p) = -7*p**2 + 28*p + 70. Let l(m) = 13*m**2 - 55*m - 140. Let a(o) = 6*l(o) + 11*z(o). Let r be a(28). What is the highest common factor of r and 7?
7
Let r be 0 - (8 - 10)*(-3)/6. Let d be (-3)/(-3)*r - (-159 - -33). What is the highest common factor of 50 and d?
25
Let x be -1 + -15*(-1 + 0). Suppose 392*s - 112*s = 560. Calculate the highest common factor of s and x.
2
Suppose -61*z + 14850 = -50*z. What is the greatest common factor of 1050 and z?
150
Let b(j) = 2*j**2 + 7*j + 1. Let i be b(-5). Suppose 0 = 3*a - i - 164. Let p = -16 + a. Calculate the greatest common factor of 484 and p.
44
Let v(r) = 181*r + 155. Let p be v(0). Let j be (186/(-15))/((-1)/5). Calculate the highest common factor of j and p.
31
Let x(v) = -v**2 + 25*v - 16. Let p(i) = -3*i + 149. Let c be p(43). Let w be x(c). Calculate the highest common divisor of w and 378.
42
Let u(x) = -x**3 - 33*x**2 + 35*x + 112. Let k be u(-34). Let a be (-9)/(-18)*(0 - -234). Calculate the highest common factor of a and k.
39
Let v be 40/(-180) + (-12)/(-54) - -69. Suppose 4*r - 27 = -3. Let h be ((-207)/(-6))/(r/8). Calculate the highest common factor of h and v.
23
Let u(x) = 7*x**3 + 3*x - 2. Let c be u(3). Let f = 1699 - 1559. Calculate the greatest common divisor of c and f.
28
Suppose -57511 + 183155 = 311*u. Calculate the highest common divisor of u and 3434.
202
Let q(u) = 806*u**3 + 9*u**2 - 34*u + 9. Let a be q(3). Calculate the highest common divisor of a and 60.
30
Suppose 0 = 14*t - 10*t + 184. Let f = t + 76. Suppose -14*q = -17*q + f. What is the greatest common divisor of q and 25?
5
Let j be (-552)/(-14) + (-12)/(-21). Let f = j - 13. Let m = f + -24. Calculate the greatest common factor of m and 1.
1
Suppose -24*g = -16*g - 504. Let w be (-1)/(-2 - 15/(-10))*18. What is the greatest common divisor of g and w?
9
Suppose 0 = s - 1 + 3. Suppose 2*i = 2*a + 32, -4*a + 8*i - 3*i = 68. Let d be ((-222)/a)/(s/(-4)). What is the highest common divisor of d and 185?
37
Let p = 54 - 38. Let g = -4 + 34. Let d = g - 26. What is the greatest common factor of p and d?
4
Let c(s) = s**2 - 17*s - 17. Suppose -19 = 2*r - 3*r. Let g be c(r). Suppose -f = -10 - g. Calculate the greatest common factor of f and 248.
31
Let l(h) = -12*h**3 - 23*h**2 - 73*h - 12. Let b be l(-4). What is the highest common divisor of 952 and b?
136
Let v(w) = -38*w + 316. Let g be v(8). Let u(r) = r**2 - 4*r - 9. Let k be u(-11). What is the highest common factor of g and k?
12
Suppose -9*c - 16327 + 26121 = -49174. What is the greatest common factor of 189 and c?
63
Suppose -5*m - 25 = -25. Let b(x) = -x**2 - 2*x + 99. Let q be b(m). What is the highest common factor of q and 22?
11
Suppose 74*v + 81*v = 158*v - 36. What is the highest common divisor of 2060 and v?
4
Let u(s) = 2*s**2 + 9*s - 9. Let c be u(-7). Let w(i) = -27*i - 24 + 17*i - i**2 + c. Let b be w(-10). Calculate the greatest common factor of b and 4.
2
Suppose 0 = -14*i + 28*i + 42. Let l = i + 19. What is the highest common factor of 4 and l?
4
Let n = -2546 + 3768. What is the highest common factor of n and 26?
26
Let q(s) = 683*s**3 - s**2 + 41*s - 83. Let t be q(2). Calculate the highest common divisor of t and 206.
103
Suppose -27*k + 132441 = -60252 + 31287. What is the greatest common divisor of 122 and k?
122
Let m = -5168 - -5864. What is the greatest common factor of 1102 and m?
58
Let f = 17909 - 16856. Suppose o - 2 = 79. What is the greatest common divisor of f and o?
81
Suppose -7*a + 70 - 49 = 0. Let i be 1 + -6 - (a - (14 - 2)). Suppose -5*b + 32 + 18 = 0. What is the greatest common factor of b and i?
2
Let a(g) = 16*g**2 - 158*g + 1232. Let o be a(8). Calculate the greatest common factor of 7688 and o.
248
Let a(b) = b**2 - 46*b + 876. Let t be a(77). Calculate the highest common factor of t and 52.
13
Let c(i) = 3*i**3 + i + 4. Let u be c(2). Suppose -u*l - 110 = -35*l. Calculate the highest common divisor of 176 and l.
22
Suppose 333*m = 166*m + 163*m + 96. What is the highest common factor of 2136 and m?
24
Let j = -45 - -75. Suppose 111 = v + 3*v + b, 2*v = 4*b + 60. Suppose v = 2*n + x - 3*x, 3*x + 18 = n. What is the highest common divisor of j and n?
6
Let n be (5/10)/((-8)/192). Let t be n/4 - 5/(-1). Let v(h) = -h + 8. Let d be v(0). What is the highest common factor of d and t?
2
Let n = 2440 + -976. What is the greatest common factor of 8 and n?
8
Let h = 24 - 12. Suppose 4*g = -3*g - 231. Let z = -27 - g. What is the greatest common divisor of z and h?
6
Let j = 9588 + -9324. Suppose y - 25 = -1. Calculate the greatest common factor of y and j.
24
Let v(a) = a**3 - 5*a**2 + 2*a - 13. Suppose -7*h = -4*h - 18. Let z be v(h). Suppose 16*j - 192 = 32. What is the greatest common divisor of j and z?
7
Let j be -13 + 368/28 - 82/(-14). Let f = 292 + -190. What is the highest common factor of j and f?
6
Let x = -40150 + 40152. Suppose -2*f + 4*q + 3 = f, -5*q = 0. Suppose u = -a, 0*u - f = -2*u - a. What is the highest common factor of x and u?
1
Let v be 8/32 + 14/8. Suppose 6*c - 4*c - v = 0. Let i(q) = 7*q**2 - 8*q + 7. Let w be i(c). Calculate the highest common factor of w and 12.
6
Let y(s) = 11*s + 53. Let w be y(-5). Let b be 22 + w + 8 + -4 - 2. What is the highest common divisor of b and 55?
11
Suppose 4*g + 2*v = -450, -14*v = -5*g - 18*v - 567. Let s be 6/(660/g - -6). What is the greatest common factor of s and 148?
37
Let s = -135 - -147. Let j be (1 - (0 + 1))/(-1). Suppose j = o + 5*h - 13, -o + 2*h = 2 - 1. What is the highest common factor of o and s?
3
Suppose -2*t - 5*x = -89, 3*t + 4*x - 9*x = 146. Suppose 5 = -7*u + t. Suppose u*z = 3*z + 504. Calculate the greatest common factor of z and 21.
21
Suppose m = -3*s + 11, 3*m - 4*m + 36 = -2*s. Let f = 26 - m. Let k be 0 - (f - 4) - -3. What is the greatest common divisor of 77 and k?
7
Let h(v) = v**2 + 33*v + 227. Let a be h(-9). What is the highest common divisor of a and 880?
11
Suppose 2*h - 3*c - c = 0, 3*h - c = 10. Let p be (-3)/12 + 1*29/h. Let y be -1 + (4 - p) - -19. What is the highest common factor of y and 6?
3
Suppose 7*l - 13*l + 18*l = 4224. What is the highest common divisor of 1888 and l?
32
Let s(m) = 2*m**2 - 19*m - 25. Let p be s(16). Suppose -4*k + 4*t + 252 = -0*k, 2*k = 3*t + 128. What is the highest common factor of p and k?
61
Let d = 192 - 104. Let n(f) = -5*f + 19. Let p be n(-5). Suppose -2*x + p = 2*x. What is the greatest common factor of x and d?
11
Let w(p) = p**3 - 6*p**2 + 31*p - 334. Let f be w(8). What is the greatest common factor of 19950 and f?
42
Let n be ((-650)/39 + 2/(-6))*(1 - 8). Calculate the highest common divisor of 7 and n.
7
Let n(c) = 6*c**2 + 101*c + 114. Let a be n(-18). Calculate the highest common divisor of 10 and a.
10
Let k be 2/2 - (-7)/(6 + -13). Let u be 1 + k + -16 + 57. Let m be 333/7 + ((-108)/u - -3). What is the highest common f | {
"pile_set_name": "DM Mathematics"
} |
mmon denominator of c and -49/195.
390
Let x = -4752/5 - -958. Calculate the common denominator of x and 1/2 - (-549)/(-27).
30
Let d(c) = -c**3 - 4*c**2 + 3*c - 11. Let k be d(-5). What is the lowest common multiple of 39 and (1/1)/(k/(-28 - -1))?
351
Let q = -45299/10 - -4524. Let z(p) = -p**3 + 16*p**2 - 64*p. Let d(j) = 12*j - 111. Let n be d(10). Calculate the common denominator of q and z(n).
10
Let m(h) = 8*h - 28 + 0*h**3 + 5*h**2 + 22*h**2 + 4*h**3 - 3*h**3. Calculate the lowest common multiple of 4 and m(-25).
2044
Let r = 11708 + -257525/22. What is the common denominator of -51/22 and r?
22
What is the common denominator of (-108)/(-9) + 2540/(-400) and 19/1784?
8920
Let j be 10/25 + 107154/(-87440). Let a = j + 1/2186. Find the common denominator of a and -41/6.
120
Let f = 62969 - 37379. What is the smallest common multiple of f and 8?
102360
Let v = 887/4 + -238. Suppose 0 = 42*s - 31*s + 451. Calculate the common denominator of v and ((-12)/(-8))/((-9)/s).
12
Suppose 3*w + 642 = k, 10 = 3*w + 4. Suppose 0 = 3*g - 12, 2*y + 38 = -y - g. What is the smallest common multiple of y/4*k/(-126) and 24?
72
Suppose -3*c + 7*c = -x + 132, -255 = -2*x - 5*c. Calculate the least common multiple of 320 and x.
960
Suppose 35 = 10*x - 95. Let m(v) = v**2 - 9*v - 23. Let n be m(12). Suppose -n*f - 8 = -34. Calculate the lowest common multiple of f and x.
26
Let z(o) = -o**3 - 11*o**2 + 14*o - 11. Let h be z(-12). Let u = -41 - h. What is the common denominator of u/60*(0 + 63) and 31/20?
20
Let d(c) = -45*c**3 - c**2 - 4*c - 4. Calculate the least common multiple of 40 and d(-2).
360
Suppose o - 7*o + 228 = 0. Suppose 30*q - o*q = -112. Calculate the least common multiple of q and 22.
154
Let u = 3 + 0. Find the common denominator of 107/48 and u - (3535/882 + 9/(-21)).
1008
Let i(x) be the third derivative of x**5/15 - x**4/12 + x**3/3 + 44*x**2. Let g be i(2). What is the least common multiple of 8/(-10)*(-735)/g and 3?
42
What is the common denominator of ((-2)/(-5))/(((-510)/(-425))/((-97)/24)) and 35/152?
1368
Let i be (-10)/(-35) - 180/(-7). Suppose 0 = 5*c, -5*w - c - 64 = i. What is the common denominator of (-1595)/(-150) - 12/w and 99/8?
40
Suppose 4*m + 2526 = -5*c + 7201, 0 = 4*c - m - 3761. Calculate the smallest common multiple of c and 2817.
2817
Let t = 68501 + -114054151/1665. Calculate the common denominator of 123/740 and t.
6660
Let w(z) = -z**3 - 47*z**2 + 7*z + 55. Let m be w(-20). Let u = -587711/54 - m. What is the common denominator of 44/57 and u?
1026
Let w be 6/8 - (-4049)/(-1080). Let l = -193/54 - w. Let z = 6391 + -255597/40. Calculate the common denominator of z and l.
40
Let p = 2/9691 - -610513/96910. Let z be (2 + -1)*-1 + 2. What is the common denominator of p and z + ((-208)/(-14))/2?
70
Let x = -1021 + 1004. Let h be (-372)/8 - (-2)/(-1). Let t = h - x. Find the common denominator of -151/12 and t.
12
Suppose -1699 = -78*y + 860 - 687. Calculate the least common multiple of 1182 and y.
4728
Suppose 108 = 239*t - 257*t. Let z(c) = c**3 + 3*c**2 - 6*c + 2. Let s be z(-5). What is the least common multiple of t/(-9) + (-2112)/s and 10?
590
What is the common denominator of (4/528)/(1 + (24565/1450)/(-17)) and 70/171?
3762
What is the common denominator of (3/9)/((-128)/474) and -9 + 3 + (0 - 37/2)?
64
Suppose 577 - 297 = 4*c. Suppose 6*y - 134 - 76 = 0. What is the lowest common multiple of c and y?
70
Suppose -11*t = -12*t + 302. Let g = -293 + t. Let j = 20 - 12. What is the smallest common multiple of j and g?
72
Suppose 1119 = -13*s + 1704. What is the least common multiple of 1233 and s?
6165
Let t(n) = 40*n**2 - 951*n + 3788. What is the smallest common multiple of t(4) and 104?
624
Let n = -18693545/176 - -106213. What is the common denominator of -41/1936 and n?
1936
Let j = 4004965/24 + -166869. What is the common denominator of (-636)/(-1215) + 4/(-10) and j?
648
Suppose 9*o = 541 - 2395. Let j = -192 - o. What is the lowest common multiple of j and (-87)/(-9) + (-1)/(-3)?
70
Let i = -16 - -58. Let o be 93/2*(-14)/(-21). Let b = -15 + o. Calculate the smallest common multiple of i and b.
336
Let m(c) = 25*c**2 - 141*c - 224. Let n(a) = 2*a**2 + 9*a + 2. Calculate the lowest common multiple of m(7) and n(-6).
140
Suppose 0 = 5*y - 8903 + 25613. Let z = -25401 - y. Let a = z - -397193/18. Calculate the common denominator of -101/18 and a.
18
Let r be (-15508775994)/(-18)*(-27)/3. Let x = r + 1320215572885929/170254. Let u = -1/12161 - x. Calculate the common denominator of -11/6 and u.
42
Suppose -36*k + 212912 = 25*k + 32962. What is the least common multiple of k and 14?
20650
Let c be 2/10 - (-451008)/(-2254240). Let o = c + -873503/211335. Calculate the common denominator of o and 37/54.
270
Suppose 4*g = 2*m - 293 + 297, -9*m = 3*g - 87. Calculate the least common multiple of m and 176.
176
Suppose -2*u + 5*r = 4 - 8, 0 = 3*u + 2*r - 6. Let x be 9 - 9 - (95239/(-18732) + u). Let j = x + -3/3122. What is the common denominator of 41/24 and j?
24
Suppose 7*f - 16*f = -9. Let l be f - (-4)/(2/2). Suppose 0 = 4*q + 2*v - 18, -l*q - v = -3*v - 36. What is the smallest common multiple of 8 and q?
24
Suppose 5*m = -3*q + 3*m + 39, -2*q - 2*m = -26. Let y be (q - 1)*23/69. Calculate the common denominator of 149/78 and ((-10)/(-16))/((18/y)/9).
156
Let z = 15088837/258 + -58484. What is the common denominator of -35/86 and z?
258
Let z(r) = 3*r**3 - 2*r**2 + 9*r - 38. Calculate the smallest common multiple of z(3) and 4.
52
Let w(h) = -h**3 - 12*h**2 + 15. Let k be w(-9). Let t = k - -248. Calculate the smallest common multiple of t and (-2)/(-3) - (-28)/3.
20
Let s(m) = m - 10. Let d be s(-7). Let x = 46 + d. What is the common denominator of (3/(3/x))/15 and -77/18?
90
Let n = 14121 + -11014387/780. Find the common denominator of 25/8 and n.
1560
Let y = 37 + -34. Suppose y*q - 12 = -3*o, 5*o + 10 = -4*q + 21. Suppose 5*j = q*j - 12. Calculate the least common multiple of 6 and j.
6
Suppose -2*i + 343 = -173. Find the common denominator of -139/54 and (-559)/i - (-1 - 5).
54
Let r(h) = -h**2 + 13*h + 276. Let f(s) = -7*s. Suppose 7*x + 24 = 3*x - 4*m, 3*x = 5*m + 14. Calculate the least common multiple of r(24) and f(x).
84
Let u be (1*-1)/(-2 - -1). Let a(l) = -4290*l + 8583*l + 122*l**2 - 4297*l. What is the smallest common multiple of a(u) and 4?
236
Suppose 2*k + 14 = 3*w + w, -9 = k - 3*w. Calculate the smallest common multiple of 15 and (k/(-2))/(-4 + 34/8).
30
Let z = 5981/187660 - 1/18766. What is the common denominator of z and 17/66?
660
Suppose -k - 3 = 0, -3*b + 2*k + 78 = -78. Suppose 5*j - 3*h - 412 = 0, -4*j + 153 = 4*h - 151. Calculate the smallest common multiple of j and b.
400
Suppose -63*o = 262 - 829. Let r(b) = b**3 - 11*b**2 + 2*b + 8. Let z be r(10). What is the smallest common multiple of o and 0 - (0 - z/(-4))?
18
Suppose 82*m - 8910 = 243*m - 431*m. What is the least common multiple of (17 - 0/1) + 1 and m?
198
Suppose -t = 3*q - 23, -4*q - 5*t = -31 - 7. Let k = -97 - -272. What is the lowest common multiple of (-25)/k + 22/q and 11?
33
Let l = 2/19441 + 1652441/427702. Suppose 0 = -v - 3*n + 26408, -v + 9043 = 5*n - 17355. Let g = 845449/32 - v. Find the common denominator of l and g.
352
Suppose 0 = p + 7 - 8. Suppose 4*x - 318 = 2*k + 26, 0 = -5*x - 2*k + 421. Let i = x + -56. Calculate the least common multiple of i and p.
29
Let p = 96 - 94. Calculate the common denominator of 69/16 and 5085/(-5670) + 1*(p + -1).
1008
Let l = -421 - -426. Let m(d) = d**3 - 22*d**2 - 21*d + 37. What is the least common multiple of l and m(23)?
415
Suppose -5*m - 90 = 5*g, 0*m = -m. Find the common denominator of (-549)/g*1/(-7) and (-273)/9*27/180.
140
Let g(j) = 3*j**3 + 4*j**2 - 8. Let q be g(2). Suppose -q = -89*h + 73*h. What is the least common multiple of h and 26?
26
Let s = -6 + 9. Suppose -781*u = -773*u - 768. Suppose 0 = 5*m + 2*p - 3*p - 166, -3*m + u = s*p. What is the least common multiple of 39 and m?
429
Suppose -5*w + 5 = -15. Suppose 0 = 2*o - f + 15, 2*o - 9 = 3*f - 14. Let q(d) = -4*d**2 - 39*d + 18. Calculate the smallest common multiple of w and q(o).
8
Let d be (-12 + -3)*1*(-4)/10. Find the common denominator of ((-89)/d)/(12/(-36)) and 93/4.
4
Suppose 133*q | {
"pile_set_name": "DM Mathematics"
} |
81, -5114357, -7671633, -10228909, -12786185, -15343461?
-2557276*g + 195
What is the j'th term of 9511, 8946, 7419, 4450, -441, -7734, -17909?
-80*j**3 - j**2 - 2*j + 9594
What is the w'th term of 212493, 425000, 637507, 850014, 1062521?
212507*w - 14
What is the l'th term of -19172, -132601, -440502, -1040111, -2028664?
-16206*l**3 + 13*l - 2979
What is the q'th term of -85633, -171397, -257161, -342925, -428689?
-85764*q + 131
What is the x'th term of 1684894, 3369786, 5054678, 6739570?
1684892*x + 2
What is the t'th term of -1851, -347, 1159, 2667?
t**2 + 1501*t - 3353
What is the d'th term of 58431, 58755, 59079?
324*d + 58107
What is the w'th term of -272, -1186, -2292, -3686, -5464?
-16*w**3 - 802*w + 546
What is the y'th term of -2016488, -2016532, -2016576?
-44*y - 2016444
What is the q'th term of 961924, 962512, 963100?
588*q + 961336
What is the f'th term of -896, -282, 3366, 11566, 25836, 47694, 78658?
253*f**3 - f**2 - 1154*f + 6
What is the s'th term of 279846, 279846, 279844, 279840, 279834, 279826, 279816?
-s**2 + 3*s + 279844
What is the m'th term of -2233373, -2233355, -2233337, -2233319, -2233301?
18*m - 2233391
What is the i'th term of 388154, 388075, 388004, 387947, 387910?
i**3 - 2*i**2 - 80*i + 388235
What is the b'th term of -4507548, -9015101, -13522654?
-4507553*b + 5
What is the n'th term of 78147, 312731, 703705, 1251069?
78195*n**2 - n - 47
What is the q'th term of 34503, 138819, 312679, 556083, 869031?
34772*q**2 - 269
What is the y'th term of -11216658, -22433305, -33649952, -44866599?
-11216647*y - 11
What is the b'th term of 1649, 2733, 4563, 7157, 10533?
3*b**3 + 355*b**2 - 2*b + 1293
What is the m'th term of -201973, -201832, -201691, -201550, -201409?
141*m - 202114
What is the i'th term of 469432, 1877772, 4225004, 7511128, 11736144, 16900052?
469446*i**2 + 2*i - 16
What is the l'th term of 396996, 397015, 397058, 397137, 397264, 397451, 397710, 398053?
2*l**3 + 5*l + 396989
What is the c'th term of -48058, -96099, -144106, -192073, -239994, -287863, -335674, -383421?
c**3 + 11*c**2 - 48081*c + 11
What is the a'th term of 18450815, 36901631, 55352447, 73803263?
18450816*a - 1
What is the a'th term of 3482, 6101, 7880, 8819, 8918, 8177?
-420*a**2 + 3879*a + 23
What is the a'th term of -366, -584, -838, -1140, -1502?
-2*a**3 - 6*a**2 - 186*a - 172
What is the z'th term of -732445, -1464895, -2197341, -2929783, -3662221, -4394655, -5127085?
2*z**2 - 732456*z + 9
What is the x'th term of 14682, 58678, 131996, 234636?
14661*x**2 + 13*x + 8
What is the j'th term of 1181270, 1181284, 1181306, 1181336, 1181374, 1181420, 1181474?
4*j**2 + 2*j + 1181264
What is the p'th term of -2539, -2527, -2323, -1831, -955, 401, 2333?
16*p**3 - 100*p - 2455
What is the d'th term of 34765, 34829, 34891, 34951, 35009?
-d**2 + 67*d + 34699
What is the u'th term of 32344409, 32344413, 32344419, 32344427?
u**2 + u + 32344407
What is the z'th term of -62266, -62337, -62408, -62479?
-71*z - 62195
What is the b'th term of 39191, 39382, 39573, 39764?
191*b + 39000
What is the g'th term of 24166, 24658, 25484, 26650, 28162, 30026, 32248?
g**3 + 161*g**2 + 2*g + 24002
What is the u'th term of -30348, -57138, -83928, -110718, -137508, -164298?
-26790*u - 3558
What is the l'th term of 92330, 371164, 835888, 1486502?
92945*l**2 - l - 614
What is the g'th term of 68672, 137319, 205988, 274691, 343440, 412247?
2*g**3 - g**2 + 68636*g + 35
What is the w'th term of -965559, -965603, -965647, -965691, -965735, -965779?
-44*w - 965515
What is the z'th term of -10452664, -10452658, -10452648, -10452634, -10452616, -10452594?
2*z**2 - 10452666
What is the b'th term of -786, -1622, -2506, -3438, -4418, -5446, -6522?
-24*b**2 - 764*b + 2
What is the b'th term of -182572, -730289, -1643158, -2921185, -4564376, -6572737, -8946274?
-b**3 - 182570*b**2 - 1
What is the z'th term of 34878, 68008, 101138?
33130*z + 1748
What is the c'th term of -5500003, -5500026, -5500065, -5500120, -5500191, -5500278?
-8*c**2 + c - 5499996
What is the s'th term of 2368049, 2368068, 2368097, 2368142, 2368209?
s**3 - s**2 + 15*s + 2368034
What is the a'th term of -360331, -360344, -360357, -360370, -360383, -360396?
-13*a - 360318
What is the v'th term of -113485, -454627, -1023197, -1819195?
-113714*v**2 + 229
What is the s'th term of 40057, 80117, 120179, 160243, 200309, 240377?
s**2 + 40057*s - 1
What is the p'th term of -38934587, -38934580, -38934569, -38934554?
2*p**2 + p - 38934590
What is the w'th term of -4776, -13459, -22136, -30807, -39472?
3*w**2 - 8692*w + 3913
What is the m'th term of 1056, 4213, 9444, 16749, 26128, 37581?
1037*m**2 + 46*m - 27
What is the g'th term of 628, 1153, 2184, 3847, 6268, 9573, 13888, 19339?
21*g**3 + 127*g**2 - 3*g + 483
What is the y'th term of 493, -58, -953, -2192, -3775, -5702, -7973?
-172*y**2 - 35*y + 700
What is the j'th term of -235, -179, -55, 161, 493, 965, 1601?
4*j**3 + 10*j**2 - 2*j - 247
What is the d'th term of 16332, 16402, 16468, 16530, 16588, 16642?
-2*d**2 + 76*d + 16258
What is the n'th term of 29217, 58439, 87661, 116883?
29222*n - 5
What is the i'th term of -242260, -242223, -242186, -242149?
37*i - 242297
What is the o'th term of 2999, 2857, 2461, 1685, 403, -1511?
-21*o**3 - o**2 + 8*o + 3013
What is the o'th term of -6495, -6699, -6899, -7101, -7311, -7535, -7779?
-o**3 + 8*o**2 - 221*o - 6281
What is the n'th term of 208774528, 417549058, 626323588, 835098118, 1043872648, 1252647178?
208774530*n - 2
What is the c'th term of -625, -1243, -1849, -2431, -2977?
2*c**3 - 6*c**2 - 614*c - 7
What is the i'th term of -12144739, -12144735, -12144729, -12144721, -12144711, -12144699, -12144685?
i**2 + i - 12144741
What is the r'th term of -763, -1359, -1871, -2257, -2475, -2483, -2239?
7*r**3 - 645*r - 125
What is the w'th term of -37498692, -37498690, -37498688, -37498686?
2*w - 37498694
What is the r'th term of -1138, 460, 7564, 22928, 49306, 89452?
459*r**3 - r**2 - 1612*r + 16
What is the f'th term of -12322, -24449, -36550, -48613, -60626?
2*f**3 + f**2 - 12144*f - 181
What is the s'th term of 903, 1749, 2537, 3237, 3819?
-5*s**3 + s**2 + 878*s + 29
What is the t'th term of 320121335, 320121339, 320121345, 320121353, 320121363?
t**2 + t + 320121333
What is the v'th term of 16804, 16734, 16616, 16450, 16236, 15974?
-24*v**2 + 2*v + 16826
What is the u'th term of -45670, -91231, -136774, -182299, -227806?
9*u**2 - 45588*u - 91
What is the l'th term of -86, 477, 2204, 5677, 11478, 20189?
97*l**3 - 116*l - 67
What is the l'th term of -2306633, -2306587, -2306457, -2306201, -2305777, -2305143?
7*l**3 - 3*l - 2306637
What is the t'th term of -1268, -5136, -11560, -20522, -32004, -45988, -62456, -81390?
3*t**3 - 1296*t**2 - t + 26
What is the i'th term of -7443, -12961, -18479, -23997, -29515, -35033?
-5518*i - 1925
What is the n'th term of 6423601, 6423608, 6423627, 6423664, 6423725, 6423816, 6423943?
n**3 + 6423600
What is the s'th term of 110654, 433137, 970608, 1723067?
107494*s**2 + s + 3159
What is the l'th term of 1260509, 1260459, 1260375, 1260257, 1260105, 1259919, 1259699?
-17*l**2 + l + 1260525
What is the f'th term of -87478262, -87478256, -87478246, -87478232?
2*f**2 - 87478264
What is the c'th term of 13706, 27868, 42488, 57566, 73102, 89096?
229*c**2 + 13475*c + 2
What is the i'th term of 2349040, 4698074, 7047106, 9396136, 11745164, 14094190?
-i**2 + 2349037*i + 4
What is the w'th term of -6298, -11580, -16830, -22048, -27234, -32388?
16*w**2 - 5330*w - 984
What is the f'th term of -85502, -86593, -87684?
-1091*f - 84411
What is the j'th term of -73, -158, -285, -454, -665?
-21*j**2 - 22*j - 30
What is the a'th term of 23736, 23384, 23016, 22632, 22232, 21816?
-8*a**2 - 328*a + 24072
What is the i'th term of -2380268, -2380112, -2379956, -2379800?
156*i - 2380424
What is the o'th term of 33053, 47926, 62799, 77672, 92545, 107418?
14873*o + 18180
What is the s'th term of 1527, 4349, 7171, 9993, 12815, 15637?
2822*s - 1295
What is the l'th term of 556, 5423, 18692, 44563, 87236?
700*l**3 + l**2 - 36*l - 109
What is the h'th term of 67, 487, 1309, 2563, 4279, 6487?
5*h**3 + 171*h**2 - 128*h + 19
What is the z'th term of -1060, 7359, 21390, 41033, 66288, 97155?
2806*z**2 + z - 3867
What is the f'th term of | {
"pile_set_name": "DM Mathematics"
} |
)) assuming f is positive.
f**(-148/21)
Simplify ((b/(b*b/(b*b**(1/4)*b)*b))/b*b/((b**(2/7)*b)/b))/(b**(2/3)/b)**(-22) assuming b is positive.
b**(-619/84)
Simplify (g**0*g*((g*g**5)/g)/g*g*g)/(g*g**(8/3)/g*g**(-10)) assuming g is positive.
g**(43/3)
Simplify (c*c*c/c**(2/11)*c)/c*c**(-2)*(c/c**(-1))/(c*c*c**(-11)) assuming c is positive.
c**(130/11)
Simplify ((y**(3/7)/(y*y**(2/19)*y*y*y))**44)**17 assuming y is positive.
y**(-365772/133)
Simplify (z*z**(-9)/z*z**(-4))/((z*z/(z**(-1/6)*z))/z)**(-43) assuming z is positive.
z**(-35/6)
Simplify (c/c**2)**33/(c/c**13)**(14/13) assuming c is positive.
c**(-261/13)
Simplify ((a**(3/2)/(a/a**(5/4)))/((a/((a/((a*a*a**(1/4)*a)/a))/a*a*a))/a)**(-1))**9 assuming a is positive.
a**18
Simplify (f**8)**(-23)*f*f**(-8)*f**(-1/12) assuming f is positive.
f**(-2293/12)
Simplify (k/(k**(-2/17)/k))**36*(k*k**(-16))/k**(1/4) assuming k is positive.
k**(4147/68)
Simplify ((m/(m/(m*m**(1/21)))*m)/m**(34/5))/(m*m**(-1/7)/m)**(-49) assuming m is positive.
m**(-1234/105)
Simplify ((y**1/(y/((y*((y/(y*((y**1/y)/y)/y))/y)/y)/y)))**32)**(46/3) assuming y is positive.
1
Simplify ((b**(-11)/b)/(b/b**(-10)))/(b**(-20)/(b/(b*b**(-24)))) assuming b is positive.
b**21
Simplify (r/(r/(r*r/(r**(2/9)/r*r))))**10/(r**9)**(-2/65) assuming r is positive.
r**(10562/585)
Simplify (j/(j*j**(2/47))*j*j/(j**(-5/7)/j))**16 assuming j is positive.
j**(19328/329)
Simplify (((x*(x*x**6)/x)**(1/5))**1)**(-4/5) assuming x is positive.
x**(-28/25)
Simplify ((f/(f*f**(-2/25)*f))/((f*f**(1/5)*f*f)/f))/(f**18*f**(1/9)) assuming f is positive.
f**(-4777/225)
Simplify (((j/(j*(j*j**7)/j))/(j/j**9))/(j**10*j**(-3/13)))**42 assuming j is positive.
j**(-4788/13)
Simplify ((q*q*q/(q/q**(2/9)))/(q**(-3/4)*q))/((q/(q**3*q))/q*q*q*q**(-4)) assuming q is positive.
q**(287/36)
Simplify (m**15)**(-17/2)*(m*m/((m/(m*m**(-3)*m)*m)/m))**26 assuming m is positive.
m**(-255/2)
Simplify (r*r**(-2)*r*r)**(-34)*r**(-4/5)*r**(-2/3) assuming r is positive.
r**(-532/15)
Simplify (((c**(-3/7)*c)/c)/c)**31*(c**5/c*c)**18 assuming c is positive.
c**(320/7)
Simplify ((i**(-1/4))**(-7/3)/((i**5*i)/(i/i**(3/4))))**(-4/21) assuming i is positive.
i**(62/63)
Simplify (c*c**(4/9))/(c*c**11)*((c*c**(-13))/c)/((c*c**5*c*c*c)/c) assuming c is positive.
c**(-284/9)
Simplify ((u*u/(u/(u/(u*u**(-11))))*u)/(u**8/u))/(u**(-2)/((u*u**(3/8)*u*u)/u)) assuming u is positive.
u**(83/8)
Simplify (w/(w*(w*w*((w/w**(3/2))/w)/w)/w))/(w**(-4/7)*w)*(w/(w*w/w**1))**(3/13) assuming w is positive.
w**(15/14)
Simplify p**(-2/27)*p*p*p**(-1/20)*p/(p/p**4)*p**(-1/4) assuming p is positive.
p**(1519/270)
Simplify (p**(-7)*p/p**0*(p*p/((p*p**(1/3))/p)*p)/p*p**(-5)*p*p)**(-35) assuming p is positive.
p**(770/3)
Simplify (j/(j**(-2/15)*j)*j*j*j*j/j**(-5/2))**50 assuming j is positive.
j**(995/3)
Simplify (k*k/k**3*k)**1/((k*k/(k/k**20*k))/k*k*k*k*k)**(-5/4) assuming k is positive.
k**(115/4)
Simplify (g/g**(1/5))/(g/(g**(1/14)*g)*g)*(g/(g/(((g*g/(g*g**(-1)*g))/g)/g)))/(g*g**(-20)) assuming g is positive.
g**(1251/70)
Simplify (z/z**(-1/13)*z*z)**(-32)/(z/(z/z**(2/63)*z)*z**36*z) assuming z is positive.
z**(-110150/819)
Simplify (((r**2/r)**(-47))**(-2/5))**(2/67) assuming r is positive.
r**(188/335)
Simplify (q**12)**(2/203)*q**(-19)/(q/(q*q/(q**(9/4)/q))) assuming q is positive.
q**(-15535/812)
Simplify v**6/v**9*((v/v**(-2/3))/v*v)/v**(1/4) assuming v is positive.
v**(-19/12)
Simplify (p**(3/8)*p)/(p**9*p)*(p**14*p*p)/(p*p*p**(-3/4)) assuming p is positive.
p**(49/8)
Simplify ((i**27)**21)**(18/5) assuming i is positive.
i**(10206/5)
Simplify (l**(-1/6)*l)**(-9/5)/(l*l/l**(-8)*l/(l*l**16)) assuming l is positive.
l**(9/2)
Simplify (o**(-1/3))**(-46)*(o**(-2/7))**3 assuming o is positive.
o**(304/21)
Simplify ((k*k**(-6)/k)/k)/((k**(2/15)/k)/k)*k*k**9*k/(k**(-4/5)*k)*k assuming k is positive.
k**(20/3)
Simplify (g/g**(5/4)*g**(-14/5))/(g**(-6)*g*g**(-1/24)) assuming g is positive.
g**(239/120)
Simplify (((u/(u/u**10))/(u/((u*u*u*u/(u*u*u/(u*(u*u**(-17)*u)/u)*u*u)*u*u*u)/u*u)))**38)**(26/3) assuming u is positive.
u**(-3952/3)
Simplify ((d/(d**(2/5)*d)*d*d)**26/(d*(d*d**(-1))/d*d)**15)**19 assuming d is positive.
d**(2527/5)
Simplify (r**5)**(11/2)/(r*r**12*r**(-17)) assuming r is positive.
r**(63/2)
Simplify ((u**5/(((u/(u*u/((u/u**(1/3))/u))*u)/u)/u*u*u))**(-5/4))**(-8/3) assuming u is positive.
u**(160/9)
Simplify (c/((((c/c**(-8))/c)/c)/c)*c)**14*(c**8)**(-26) assuming c is positive.
c**(-264)
Simplify (r**(-14))**(2/141)*r**(-2/61)/r**(-2/61) assuming r is positive.
r**(-28/141)
Simplify s*s/s**(-26)*s**25*(s**(3/4))**(-1/11) assuming s is positive.
s**(2329/44)
Simplify (r**(1/2)/r)**(-7/2)/(((r**3*r*r*r)/r)/(r*r/(r*((r*r/(r/(r**(-14)*r)))/r)/r))) assuming r is positive.
r**(47/4)
Simplify (d**5*d)/d**1*((d/d**(1/3))/d)/(d*d**(-4)*d) assuming d is positive.
d**(20/3)
Simplify ((u/(u/(u*u*u*u/(u/u**(-1/7)))))**(-44))**(-1/19) assuming u is positive.
u**(880/133)
Simplify (m**(-20)*m*m/(((m*m*m**9)/m*m)/m))/((m*m**(-2/9))/m**(-9)) assuming m is positive.
m**(-340/9)
Simplify (((n/n**(-2/11))/(n*(n*n/(n*n**(-1/3))*n)/n))/((n/n**(1/3))/(n*n*n/((n*n/n**(-4)*n)/n))))**(2/23) assuming n is positive.
n**(-106/253)
Simplify (a/(a/a**(-5)))**(-1/4)/(a**(4/5)/(a**(3/5)*a)) assuming a is positive.
a**(41/20)
Simplify (n**(-8)/(n/((n/(((n*n**(-20)*n)/n)/n))/n)))/(n*n**(-9)*n*n)**(-3/20) assuming n is positive.
n**(101/10)
Simplify (k*k**1*k)**(-7/11)/(k/k**(1/2))**(-18) assuming k is positive.
k**(78/11)
Simplify (q/((q/q**(2/11)*q)/q)*q)**(-33)*(q/(q*q**(2/3)))**(-1/42) assuming q is positive.
q**(-2456/63)
Simplify (z**3)**6/(z**(-3/10)*z**(-3)) assuming z is positive.
z**(213/10)
Simplify (((r*r**(-2)*r*r*r)/r)**(-4/5)/(r*r**(-12/5)*r**9*r))**(-30) assuming r is positive.
r**282
Simplify ((g*g**(-2)*g)/g*g*g*g**(-4/3)*(g**(-2/7))**38)**41 assuming g is positive.
g**(-9635/21)
Simplify (x/(((x*x/(x*x**5*x)*x)/x)/x))/x*x*x**(-11)*x**(10/7)*x/((x**(1/6)/x)/x) assuming x is positive.
x**(11/42)
Simplify (g/g**(-3/13)*g)/g**(-1)*(g**(2/5)/g*g)**(-1/23) assuming g is positive.
g**(4804/1495)
Simplify (r**(1/7))**19*r/r**(-3)*r**(-1/5) assuming r is positive.
r**(228/35)
Simplify (((z*z*z*z/(z**(1/6)/z))/z)**(-14)*(z/z**(-6/5)*z)/((z/(z/z**(-4)))/z))**15 assuming z is positive.
z**(-682)
Simplify (m**(-21)/(m**(15/11)/m))**3 assuming m is positive.
m**(-705/11)
Simplify (l**22*l**(-2/11))/(l**(-24)/l**(-4)) assuming l is positive.
l**(460/11)
Simplify (s**4*s)**(-29/5)*s**4*s*s*s/s**(-9/7) assuming s is positive.
s**(-145/7)
Simplify ((m*m**(-5/6))/m*m*m)**(44/7)/(m**(-2/3)/(((m/(m**(-33)/m))/m)/m)) assuming m is positive.
m**41
Simplify (y**(-11/4)/y)/(y**(2/75)*y)*(y/(y/y**(2/59)))**(-2/5) assuming y is positive.
y**(-84787/17700)
Simplify ((r**2*r*r**(-7))**36)**(2/59) assuming r is positive.
r**(-288/59)
Simplify (((a**(-1/2)/a)/a*a)/a)**(2/51)/(a**(-3/8)*a*a**(1/35)*a) assuming a is positive.
a**(-25013/14280)
Simplify f/((f/(f/f**(-24)))/f)*f*f*f**(1/10)*(f/f**23)**28 assuming f is positive.
f**(-5879/10)
Simplify (j/(j*j*j**(1/5)*j*j))/((j/(j*j**(1/7)))/j)*j**2/j**(-2) assuming j is positive.
j**(68/35)
Simplify (r*r*r/(r**(1/8)*r))**(2/23)*r**(-4/5)/(r**(-10)/r*r) assuming r is positive.
r**(4307/460)
Simplify (t**(-2/49)*t/((t/t**(-28))/t))**(-38) assuming t is positive.
t**(50350/49)
Simplify (k**3)**(9/2)/(k**(4/7)/k**(-4/9)) assuming k is positive.
k**(1573/126)
Simplify z/z**(-2/13)*((z**(-9)/z)/z)/z*z/(z/(z*z**(2/11)*z))*(z/(z*z**(-1/7)))/z assuming z is positive.
z**(-9531/1001)
Simplify ((n**(1/8)*n*n**(-1/2)*n)/((n**(-5)*n*n)/n*n**(-4/7)*n))**(-1/14) assuming n is positive.
n**(-291/784)
Simplify (o**2)**(-30)*o/o**(4/11)*o**(-3) assuming o is positive.
o**(-686/11)
Simplify (u**(-22)/u**(-1/9))/(u**(-1/19)/u)**(-2/119) assuming u is positive.
u**(-445777/20349)
Simplify ((o**24*o)/(o*o*o*o**(14/5)))/(o**(2/25)*o**(-3/17)) assuming o is positive.
o**(8201/425)
Simplify (f**(-1/7)*f*f*f**3*f*f*(f**0*f*f)/((f*f**(4/3)*f)/f))**(-5/2) assuming f is positive.
f**(-685/42)
Simplify (t**0*t/t**(-4/11))/(t*t**8*t*t**(-14)) assuming t is positive.
t**(59/11)
Simplify ((s*s*s**(1/6)*s)/s)**1/(s**(6/11)*s)**49 assuming s is positive.
s**(-4855/66)
Simplify ((o/((o*o**(-7/4))/o*o*o))/(o/o**(2/83)*o))**47 a | {
"pile_set_name": "DM Mathematics"
} |
-14. Let i = j - 0.1. Is i at least as big as 0.03?
False
Let w(f) = -f**3 + 7*f**2 - 7*f + 3. Let x = 3 + -3. Suppose x*y = 2*y - 12. Let t be w(y). Which is smaller: 1 or t?
t
Suppose b - 2 + 4 = 0, -2*x = 3*b + 22. Let j be (-21)/(-12) - (-6)/x. Is 5/7 not equal to j?
True
Let f = -20/107 - -3564/749. Which is greater: 5 or f?
5
Let d = -6 - -10. Suppose -4*w + d*r - 72 = 0, 0 = -0*w + 5*w + 5*r + 80. Let b be (-5)/(-20) + w/4. Is b > -3?
False
Let y be (1 - 2) + 2/(-4). Let f(g) = -g**3 - 39*g**2 - 40*g - 79. Let h be f(-38). Does y = h?
False
Suppose -8*j - 6 = -11*j. Suppose -2*r - 20 = 2*u, j*u + u - 2*r = -25. Is -10 smaller than u?
True
Suppose -5*c = -5*l - 30, -l - 24 = -4*c - 2*l. Suppose c + 3 = 3*s. Is 3 greater than s?
False
Let k(v) = -v**3 - 11*v**2 - 10*v - 8. Suppose -d - 3*d = 40. Let g be k(d). Let l be 7/(1 + (-1 - 1)). Is l not equal to g?
True
Let t(z) = -z**3 - 2*z**2 + 3*z - 1. Let s be t(-3). Let i be s/(-6) + (-4)/6. Let o(a) = -a**3 - 8*a**2 - 9*a - 12. Let u be o(-7). Which is bigger: u or i?
u
Suppose -3*g - b = -0*b - 45, -b = -3. Is g equal to 15?
False
Let o be -4 - (1 + 0)/((-2)/(-6)). Let m be (-1 + 5)*(-1 - 1). Is m <= o?
True
Let y = -659/36 - -55/3. Do 0 and y have the same value?
False
Let g = -789/2 + 11863/30. Which is greater: g or 1?
1
Let m(h) = h**3 + 2*h**2 + 2*h + 1. Let k be m(-2). Which is greater: -4 or k?
k
Let k be ((-1)/(-3))/(391/102). Is 1 greater than k?
True
Let p = -27 - -39. Is p greater than or equal to 13?
False
Suppose 85 = -5*w - 3*l, 3*l = -2*l - 25. Is -9 at most w?
False
Let h = 0.3 - 0.2. Let o = 0 - h. Let n = 169 - 1185/7. Which is greater: o or n?
o
Suppose 16 = 4*l + 4*s, 3*l - 5*s - 10 = -2*l. Let c = 3 - -1. Which is smaller: l or c?
l
Let a(h) = h**2 + 6*h - 6. Let v be a(-7). Is -1 <= v?
True
Let h be 217/(-43) - (-55)/11. Is 1 at least as big as h?
True
Suppose d - 3*d + 4*c = -20, -5*d - 2*c + 14 = 0. Suppose 1 = 5*a - d. Let s = -353/5 - -71. Is a less than or equal to s?
False
Let r be (-4)/(1 - -1) - -3. Is -1 at least as big as r?
False
Let r = 2 - 4. Let j = r - -2. Let o = -1.1 - -0.1. Do o and j have different values?
True
Let u = 166.3 - 166. Is u smaller than -1/12?
False
Let z be (-22)/(-8) + 2/8. Suppose 0 = -z*m + 4*c - 1, 4*m - 3 = -0*m + c. Is m greater than 2/5?
True
Let s = -1 - -20. Do 20 and s have different values?
True
Let f be (1 - 5)/(104/(-12)). Let l(p) = p + 4. Let d be l(-5). Which is smaller: d or f?
d
Suppose 2*w + 2*s + 2 = 3*w, 2*w - 1 = s. Suppose 4*u - 32 - 8 = w. Which is smaller: 11 or u?
u
Suppose 7 = j + 5*f, -3*f - 22 = 4*j - 8*f. Which is smaller: -2 or j?
j
Let v = -0.11 - -0.11. Is 13 equal to v?
False
Suppose 3*u - 660 = 4*d, 0 = -2*d - u - 380 + 50. Let j be (-3 - d/51)/2. Are j and 0 equal?
False
Let d = 2 - 9. Which is smaller: d or 1/3?
d
Suppose 2*f - 5*g = -24, 0 = -4*f + g - 62 + 14. Let o = 12 + f. Is 0 > o?
False
Let u = 3 - 3. Suppose 5*c - 6 = 3*m - 18, u = 5*m + 4*c + 17. Which is smaller: m or -1/5?
m
Let y be (10/(-24))/((-4)/(-12)). Which is smaller: 0 or y?
y
Let l be ((-2)/3)/(0 + 10/(-15)). Let y = -15 - -23. Suppose -l = 2*a + 3*v - y, 0 = 3*a - 2*v + 9. Is a not equal to 0?
True
Let s be ((-94)/8 - -2)*-2. Let r = 511/26 - s. Is r at least as big as -0.1?
True
Suppose b - 2*b = 2, 0 = -3*x + 5*b + 31. Let m = -4 + x. Suppose -m*g + 3*w = 4*w - 5, 1 = -g - 3*w. Is 3 greater than g?
True
Let w(o) = -o - 2. Let j be w(-9). Let h = j + -4. Suppose f - t - 4 = -7, 9 = f + h*t. Is f < -1?
False
Let r be (-183)/1065 - 1/(-5). Which is bigger: r or -1?
r
Suppose -2*z - 5 = -3*m, -m = -z + 6*z - 30. Let j = z + -5. Let g = 2 + -2. Is j smaller than g?
False
Suppose 9*q - 129 = 4*q + 3*m, 3*m - 6 = 0. Let r be ((-4)/(-10))/(q/15). Which is bigger: r or 4?
4
Let m be (-4)/(-18) + 15910/63. Let v = -3034/7 + m. Let y = -7048/39 - v. Which is smaller: 1 or y?
y
Suppose 0 = 3*o - 4 - 11. Suppose 3*k + 13 = -4*d - 2*k, -d - 7 = o*k. Is d > -13/4?
True
Let g(v) = v**2 + 5*v + 2. Let u be g(-5). Let b be (1/2)/(12/24). Suppose -3*c - b = u. Which is greater: 1 or c?
1
Let l = 7 + -4. Suppose -j + 5*m = -26, 3*m = l*j + 5*m + 7. Is j < 1?
False
Let n = 0 - -0.1. Let p = n + -0.07. Let s = 2.03 - p. Is -1 < s?
True
Let a = -58 + 49. Which is smaller: a or -2?
a
Let h = 0 + 2. Let s(b) = -3*b**2 + 3*b. Let y be s(h). Let u = y - -7. Which is bigger: 0 or u?
u
Suppose 144*w - 143*w - 56 = 0. Which is greater: w or 55?
w
Let n = 13 + -12. Is n less than or equal to 1/7?
False
Let t(w) = w**3 - 6*w**2 + w - 5. Let c be t(6). Which is smaller: -4/11 or c?
-4/11
Let l(t) = 3*t - 5. Let n be l(2). Is n < -4/11?
False
Let l = 2.01 - 0.01. Suppose 0 = 6*f - 4*f - 4. Let a be (-11)/44 + f/(-56). Which is smaller: a or l?
a
Let o be (6/(-14))/((-6)/(-4)). Which is greater: 1 or o?
1
Let j(h) = 3*h - 3. Let t be j(4). Let r be (-29)/t + 6/27. Let m(c) = -c. Let k be m(4). Are r and k unequal?
True
Suppose -14*c - 23 - 5 = 0. Is -2 bigger than c?
False
Let x = -2097 - -4035/2. Let r = x - -78. Which is smaller: r or -2?
-2
Let d = -2 + 2.2. Let p = 0.3 - d. Is -1 <= p?
True
Suppose -2*o = -o - 1. Let p(m) = -m**3 - 4*m**2. Let r = 9 + -13. Let l be p(r). Is l greater than or equal to o?
False
Let w be (-288)/160*(-2)/3. Are 0 and w non-equal?
True
Let l(y) = -y + 6. Let v be l(0). Let a(x) = -x + 4. Let u be a(v). Suppose -2*h + q - 1 = 5, q - 15 = 5*h. Which is smaller: h or u?
h
Let r = 65 - 64.53. Let t = 0.5 - r. Let y = t - -1.97. Is 2/7 <= y?
True
Let q(i) = -i**2 + 3*i. Suppose 4*d - 10 = 2. Let p be q(d). Let v = -23/84 - -1/42. Which is smaller: v or p?
v
Let r(w) be the third derivative of -w**5/60 + 5*w**4/24 - w**3/2 + 3*w**2. Let n be r(4). Which is smaller: n or 0?
0
Let z(t) = t**2 + 10*t + 2. Let d be z(-9). Which is smaller: -1 or d?
d
Let l be -4*(-3 - (-15)/6). Let u be (-357)/(-39) + l/(-13). Which is smaller: 10 or u?
u
Let u be 3*(-5)/((-25)/(-5)). Is u at least -3/2?
False
Suppose -2*g + 4 = -2. Let o be (-2)/g + (-2)/(-6). Which is smaller: -1 or o?
-1
Let k = -8 + 13. Suppose -7 = 2*n - k*y, 2*n + 1 = 4*y - 3. Is 4 less than n?
False
Let k = 8 - -1. Let v = k + -9. Which is greater: -1 or v?
v
Let y(s) = s**3 - 3*s**2 + s + 3. Let m be y(3). Let g = 35 - 12. Let f = g - 17. Are f and m equal?
True
Let o be -50*(0 + (-1 - 0)). Let x = o - 17. Let f = x + -100/3. Is 0 at most as big as f?
False
Let y = 30 + -51. Which is smaller: -19 or y?
y
Let x(c) = c**3 - 6*c**2 - 3*c - 1. Let g be x(7). Let f = g - 18. Which is bigger: -1 or f?
f
Let b = 61 + -40. Let p = b + -43/2. Which is smaller: 0 or p?
p
Let i = -5/6 + 1/3. Is -16 bigger than i?
False
Let i be ((3064/14)/(-4))/(-15). Let s = i + -44/15. Which is bigger: 1 or s?
1
Let g be ((-2)/(-6))/(-1*3/(-126)). Which is greater: g or 9?
g
Let x be (-2)/4 - 2/4. Let o = -117 - -116. Is o not equal to x?
False
Let p = 7 - 11. Let n be 22/6 - p/(-6). Is n < 4?
True
Suppose -i = 2*i - 60. Suppose 0 = -5*o - 3*d + 1 + 16, -4*o + i = -4*d. Is 3 <= o?
True
Let d = 0.3 - -0.7. Is 4/9 < d?
True
Suppose -5*l + 0 + 10 = 0. Suppose l*b = 5*b + 39. Let c = -9 - b. Is c greater than or equal to 4?
True
Let q = -4465030075 + 196474973445/44. Let y = -310206 + q. Let h = 99/4 - y. Is -1 equal to h?
False
Suppose x = -x + 10. Let m = x - 7. Which is smaller: -3/2 or m?
m
Let m be 1*2 + (2 - 3). Let d be m/1*6 + -2. Suppose d = -4*z - 2*j, 4*z - 3*z = -2*j - 1. Are z and 2/5 non-equal?
True
Suppose 0 = -2*y - y. Let u = 105.91 + -106. Is u greater than y?
False
Let t = -769/2 - -1904/5. Let j = t + 353/90. Which is greater: j or -0.2?
j
Let a(w) = -w**2 - 8*w + 5. Let h be a(-8). Suppose 0 = -4*f + 3*f + 4*k + h, -5*k = -2*f + 10. Is 5 bigger than f?
False
Let o = 6 - 2. Suppose -4*q + 2*k + 35 = -k, -o*k - 25 = -q. Is q less than 6?
True
Let x(a) = -a**3 + 13*a**2 - a + 9. Let z be x(13). Let j be (-63)/135 - z/(-30). Let r = -1 - -0.9. Do j and r have the same value?
False
Let m = 2.03 - 0.03. Let q = -4 + m. Let s = 84 - 83. Which is smaller: s or q?
q
Let m(u) = u**3 - 6*u**2 - 7*u - 11. Let k be m(8). Let c = 185/3 - k. Is -0.2 greater than c?
False
Let v(o) = o**2 - 6*o + 4. Let j be v(5). Which is smaller: -1/26 or j?
j
Let a(c) = 2 + 0 - 5*c + 4*c - c**3 - c**2 + 0. Let u | {
"pile_set_name": "DM Mathematics"
} |
t s = 8 - 4. Let c = 2 + s. Let j = c - 4. Solve j = -b - 3 for b.
-5
Let f(y) = y**3 + 7*y**2 - 5. Let h be f(-5). Let z be (4/(-6))/((-10)/h). Solve -z*p + 18 - 3 = 0 for p.
5
Let i be 2*(1 - 0)*1. Solve z - 1 + i = 0 for z.
-1
Let z = 5 + -2. Let d(y) = 2*y + z*y - 8 - y - 5*y. Let r be d(-8). Solve -4*v + r*v - 8 = 0 for v.
-2
Let k = 17 + -11. Solve 0 = -3*b - 3 - k for b.
-3
Let o(a) = a**2 + 5*a + 7. Let x be o(-3). Solve 2*d + x = -5 for d.
-3
Let s = -30 + 34. Let a be ((-6)/(-4))/(6/8). Let f be (-1)/a*(-24)/s. Solve f = -p + 2 for p.
-1
Let k be (-46)/12 + 8 + 1/(-6). Suppose -11 = -2*g - 2*g - 3*x, -5*g + 31 = -2*x. Suppose g*r - 3*p - 63 = 0, 2*r + r - 57 = -3*p. Solve -v = k*v - r for v.
3
Let y = 4 + -1. Suppose 8*a = 4*a + 8. Let z = 0 + a. Solve -z*l + y = l for l.
1
Suppose 6*x = 4*x + 8. Solve -2 = 3*w + x for w.
-2
Let s(g) = g**2 + 5*g - 4. Let z be s(-6). Solve 0 = -z*f + 2 for f.
1
Let m(l) = l**3 - 4*l**2 + 4*l - 3. Let b be m(3). Suppose b = 5*s - 65 + 5. Solve 0*y = -3*y + s for y.
4
Let p(l) = -l - 2. Let i(r) = -2*r. Let d be i(5). Let q be p(d). Suppose 6*g - q = 4*g. Solve g*t - 7 + 3 = 0 for t.
1
Suppose 0 = -2*p - 2*o + 2, p + 2*p - o - 3 = 0. Solve 4*k + p + 7 = 0 for k.
-2
Suppose -5*c + 4*c = -2. Suppose -g + 3 = -c. Solve -3*j - g + 2 = 0 for j.
-1
Let o(z) be the second derivative of z**5/20 + z**4/4 - z**3 - 3*z**2 + z. Let x be o(-4). Solve x - 6 = 4*r for r.
-1
Let a = 116 + -108. Solve z + a = 3 for z.
-5
Suppose -4 = 4*x + 3*t, -4*x - t = 1 - 5. Suppose -v + x*i - 6 = -2, -v = 4*i - 14. Solve -h + v*h + 2 = 0 for h.
-2
Let m = 47 - 33. Suppose 5*a - 4*f - 42 = 0, 2*f - 4 = -4*a + m. Solve x - 4*x = -a for x.
2
Let q be 7/21 - (-5)/3. Solve 0 = q*w + 4 for w.
-2
Suppose -b + 3*b + 10 = 0. Let p be (b - -5)*(-2)/(-6). Solve p*g + 4 = 2*g for g.
2
Let w(t) = t**2 + t - 3. Let v be w(-3). Let b be -1 + v*(-1)/(-3). Solve -6*u + 4*u = b for u.
0
Let h(l) = 13*l + 0*l**2 - l**2 - 2 - 6*l. Let u be h(5). Suppose -5*d - 2*b - 10 = 3*b, -5*d + 5*b = -40. Solve 0 = -d*o + u*o for o.
0
Suppose 0 = -i + 1 + 2. Suppose -i*c = -v - 4, -2*v = 3*v - 10. Let g(o) = o**3 - o**2 - 3*o + 2. Let q be g(2). Solve 0 = -q*s + c*s + 10 for s.
-5
Let t be ((-324)/(-48))/((-1)/(-4)). Solve -11 = 4*w - t for w.
4
Let o be 28/8 + (-3)/6. Suppose y - 16 = 4*f, -3*y + o*f + 8 = f. Solve y*k - 2*k = 10 for k.
-5
Let u be 3/(9 + -3)*0. Solve u - 4 = 2*c for c.
-2
Let n = 17 + -11. Solve -n = 2*i + i for i.
-2
Let z(a) = a**3 - 11*a**2 + 2. Let w be z(11). Solve 0*n = w*n - 10 for n.
5
Suppose -2*h = -3*y - h + 39, 0 = 4*h - 12. Solve -y - 6 = 4*c for c.
-5
Let h(l) = -l**2 - 4*l - 3. Let y be h(-2). Solve 3*w - 7 = -y for w.
2
Let w = -5 - -10. Suppose q = -w*z - 14, -5*z + 0*z = -5. Let t = -7 - q. Solve 0 = 3*v - 7*v + t for v.
3
Let o(a) = a**2 + 7*a + 9. Let f be o(-6). Solve -f*j + 3 = -2*j for j.
3
Let v(n) = 2*n. Let d be v(5). Suppose -d = -b - 5. Solve 3*q - 1 = b for q.
2
Let z(w) = w**3 + w**2 - 9*w + 9. Let b be z(2). Solve b*j = -j - 12 for j.
-3
Let u = 9 + -6. Suppose 3*o - 5 = -2*l, 4*o + 2*l - 5*l = 1. Solve o + u = -c for c.
-4
Let c = 16 - 12. Suppose s - 2 = m, -9 = -m - c*s + 14. Solve m + 1 = -g for g.
-4
Let l be (-2)/(-3) - (-20)/15. Solve 2 = l*z + 4 for z.
-1
Let t = 26 - 15. Suppose 3*w = -2*q + 3*q - t, 4*q + 5*w + 7 = 0. Solve -q*a - 4 = -0*a for a.
-2
Let w be ((-6)/4*4)/(-2). Suppose w*s + 3*i - 14 = 13, 4*s = 4*i - 4. Suppose -s - 2 = -2*f. Solve 0 = -4*k - f - 9 for k.
-3
Suppose 0 = 6*u - 3*u + 6. Let b be 0/(2*u/(-4)). Solve b = d - 4*d for d.
0
Let q(u) = 2*u + 22. Let z be q(-10). Solve -z*r = -0 + 6 for r.
-3
Let c(j) be the first derivative of j**3/3 + 4*j**2 - 4*j - 6. Let f be c(-9). Solve f + 5 = 2*n for n.
5
Suppose 9 = 2*u + 23. Let f = u + 7. Solve f = 2*z + 1 + 3 for z.
-2
Suppose 0 = -2*p + 3*p - 4*v + 1, 0 = 2*p + 5*v - 11. Suppose 0 = -g - 4*d + 2 + p, -5*g + 7 = 2*d. Let s be 1*10/4*2. Solve -g = -2*m + s for m.
3
Suppose v + 9 = -2*y - y, -3*v + 25 = -4*y. Solve 7 = v*x + 22 for x.
-5
Let k(t) = t**2 - 13*t + 24. Let x be k(11). Solve 0 = -x*g - 1 - 1 for g.
-1
Let k be 2/14 + (-13)/(-7). Solve k*h + 0*h = 6 for h.
3
Let f be (-18)/4 - (-2)/(-4). Let m = 10 + f. Solve 1 - m = -s for s.
4
Suppose -3*t + 16 - 4 = 0. Let j(w) = -w**3 - 8*w**2 + 9*w + 1. Let o be j(-9). Let i be o/((-2)/(-10)) - 0. Solve 15 = -t*b - i for b.
-5
Let b(a) = -a**3 - 9*a**2 - 9*a - 6. Let h be b(-8). Let l = 6 - h. Solve 3*c - l = 5*c for c.
-2
Let l be (-2)/(1*2/2). Let a(s) = s**3 + 4*s**2 - s - 2. Let x be a(-4). Let o = l + x. Solve 0 = -k - o - 4 for k.
-4
Let v be 6/15 + 28/5. Suppose -2*a + v = -0*a. Solve -3*k - a = -0 for k.
-1
Let k = -34 + 46. Solve 5*u - u = -k for u.
-3
Suppose -17 = 3*w - 4*q - 45, 4*q + 24 = 2*w. Solve -w*b + 15 = b for b.
3
Let q = 4 + 1. Suppose -2*y - 4 = 0, -11 = 2*o - q*o + y. Let c be ((-21)/(-14))/(3/2). Solve -p = o + c for p.
-4
Let u(l) = l**3 + 3*l**2 - 5*l + 2. Let y be u(-4). Suppose 0 = d - y*d + 115. Solve -4*w + 7 = d for w.
-4
Suppose 5 = -10*i + 25. Solve 5 = -i*y + 7*y for y.
1
Let t be (-15)/(-2) - (-6)/(-4). Solve -15 = q - t*q for q.
3
Suppose 5*r = -2*s + 29, 4*r - 14 - 6 = 0. Let f(n) = -s*n + 2 - 11 + 4*n + 0*n. Let d be f(7). Solve -q + 0 = d for q.
-5
Let d be (-1)/((-2)/(-1))*-8. Suppose -a - d*a = -50. Solve -5*r = -a - 15 for r.
5
Suppose -6*l - 9 = -21. Solve -3*u = -l*u + 4 for u.
-4
Suppose 0 = o + 2, 0 = -3*j + 3*o + 5 + 4. Let r be (-30)/(-18)*3*j. Solve 4*z = -1 + r for z.
1
Let l = -31 + 33. Solve -l*f - f = -3 for f.
1
Let q(a) = 2*a**2 + a. Let g = 6 + -5. Let m be q(g). Suppose -m*v - 10 = -8*v. Solve -v*p = -0 + 2 for p.
-1
Let u = 0 + 6. Let p = -6 + u. Solve p = -b - 4 for b.
-4
Let k = 4 + -2. Suppose -k*q = -q. Solve 0*h - 4*h = q for h.
0
Let i = -3 - -4. Let q = i + 3. Solve p = -q*p - 15 for p.
-3
Let a(z) = 5*z**2 + 1. Let v be a(1). Let p = 15 - 11. Solve -p*l = -v*l for l.
0
Let q be (-6)/(-27) + (-2)/9. Suppose q = -4*o - 12 - 0. Let s be -1*(-3 - (o - 0)). Solve 3*y + 12 + 3 = s for y.
-5
Let f(l) = l**3 + 4*l**2 + 3*l + 2. Let b be f(-2). Solve -t - b*t - 20 = 0 for t.
-4
Let h(p) = p**3 - p**2 - 2*p. Suppose -4 = 3*t - 10. Let u be h(t). Solve u*c - 12 = 3*c for c.
-4
Let k = 26 + -20. Suppose -5*c = -0*c - 20. Solve -c*p + 26 = k for p.
5
Let r = -1 + 4. Let c be (-1)/(-3) - 28/(-6). Solve 2*g - c*g = -r for g.
1
Suppose 7 = -2*h + 31. Solve -j + 4*j = h for j.
4
Suppose -3*b - 3*q + 27 = 0, -4*b + 5*b - q - 3 = 0. Let i = -16 - -18. Solve 4*o - b = i*o for o.
3
Let l(w) = -5*w**2 - 2*w - 1. Let f be l(-1). Let v be -1 + 10/f*-2. Let r(a) = a**2 - a - 2. Let i be r(2). Solve -z - v + 2 = i for z.
-2
Let c(g) = 5*g**2 + 3*g + 2. Let r be c(-3). Let n = 3 - -2. Let h = 5 + -5. Solve h = -n*z + r - 13 for z.
5
Let d(j) = j**3 - 12*j**2 + j - 11. Let z be d(12). Let k be (0 + z)*(-2)/(-1). Solve 0 = -k*g - 5 + 13 for g.
4
Suppose 0 = 5*d - u - 97, -5*d + 77 = -d - u. Solve -f - d = 3*f for f.
-5
Suppose -4*l + 3*l = -2. Solve -l*d - 8 - 2 = 0 for d.
-5
Let z be -1*(-3 + 2)*(-2 + 6). Solve z*y = y - 15 for y.
-5
Suppose 3*m = 4*m - 5. Suppose i = m*i - 5*k, 4*k = 0. Solve i = 3*j - 0*j for j.
0
Suppose -2*c = -0*c. Suppose -12*a = -6 - 30. Solve -a*d = -c*d for d.
0
Suppose r = -5, -2*z - 4*r = -3*r + 11. Let f = -2 - z. Solve -4*c - 13 = -f for c.
-3
Let y(g) = -g**2 + 7*g - 3. Suppose -5*r + c + 3*c + 35 = 0, -5 = c. Let q be 2/r - (-32)/6. Let f be y(q). Solve f*n + 2*n = -15 for n.
-3
Let b(f) = f - 1. Let j(a) = a**2 + 11*a + 6. Let q(c) = 4*b(c) + j(c). Let d be q(-15). Solve -d*s + 4*s = 2 for s.
1
Suppose 0 = 2*r + 10, -2*f - r + 4*r = -45. Solve -3*z = -f - 0 for z.
5
Let c(x) = 12*x**3 + x**2 - x. Let o be c(1). Let l = 22 + -20. Let y be ((-6)/(-12))/(l/12). Solve -y*d - o = d for d.
-3
Let z be 5 - ((-16)/120 - 2/(-15)). Solve -z = 2*d + 5 for d.
-5
Let d be -2*1 + 2 + 26 + -26. Let c be -7*((-1)/(-1) - 2). Suppose 4*n - 3*f - 14 = 0, 0 = 4*n - f - f - 12. Solve d = -c*x + n*x - 10 for x.
-2
Let o(b) = b + 1. Let d(a) = 3*a**2 + a. Let v be d(1). Let r(p) = -3*p + 6. Let m(c) = v*o(c) + r(c). Let n be m(-7). Solve -5*i + n*i = 8 for i.
-4
Let t(d) = -d - 13. Let c be t(-15). Solve 4*w - c = 2*w for w.
1
Suppose | {
"pile_set_name": "DM Mathematics"
} |
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