text stringlengths 270 8.19k | meta dict |
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Suppose 29 = -5*v + 84. Let y(c) = -c**2 - 7*c - 5. Let b = -9 - -5. Calculate the remainder when v is divided by y(b).
4
Let u(c) = -2 + 2 + 15*c - 2. What is the remainder when u(5) is divided by 19?
16
Suppose 1 = c + 20. Let h = c + 32. Suppose 3*v + 4*j = -2*v + 125, 0 = 5*v - j - 125. Calculate the remainder when v is divided by h.
12
Let k be (45/(-6))/((-1)/(-2)). Calculate the remainder when 16 is divided by (18/(-5))/(6/k).
7
Suppose 0 = 3*p - 9, f - 4*p + 21 = 4*f. What is the remainder when 23 is divided by 9 + f + 0 - -1?
10
Suppose -2*d - 3 = 2*h - 21, 0 = -4*h - 16. Let z = 127 + -76. What is the remainder when z is divided by d?
12
Suppose o = 6*o - 50. What is the remainder when o is divided by 3?
1
Let f = 36 + -33. What is the remainder when 14 is divided by f?
2
Let j = 152 + -123. Let n = 4 - -1. Calculate the remainder when j is divided by n.
4
Suppose 3*a = 4*i - 53, -3*a = -4*i - 2*a + 47. Suppose 2*h + h - 12 = 2*n, -2*n + 36 = 5*h. Calculate the remainder when i is divided by h.
5
Suppose -3*b = -2*b - 12. Let k(u) = -u**3 - 2*u**2 + 3*u + 3. What is the remainder when k(-4) is divided by b?
11
Suppose 0*f - f = 5*o - 58, 0 = o - 5*f + 4. Calculate the remainder when 52 is divided by o.
8
Let q(w) = 2*w**2 - 2*w - 4. What is the remainder when 23 is divided by q(-2)?
7
Suppose 0 = -0*p - 4*p + 12. Suppose 2*v = 2*z - 34, v - 51 = -p*z + 5*v. What is the remainder when z is divided by 10?
7
Let n be (-2 - (-4)/1)/1. What is the remainder when (-1)/n + 45/6 is divided by 4?
3
Let o(m) = m**3 + 11*m**2 - 16*m + 9. Calculate the remainder when o(-12) is divided by 15.
12
Let c = 47 - 37. Calculate the remainder when c is divided by 6.
4
Suppose i - 2 + 4 = 4*q, 4*i - 52 = -4*q. Let a(w) = 6*w**2 - 4*w + 3. What is the remainder when a(2) is divided by i?
9
Suppose 0*z + 6 = 3*z. Let u(r) = -r**3 - 5*r**2 - 4*r + 2. Let g = -3 + -1. What is the remainder when z is divided by u(g)?
0
Let p(r) = 12*r - 14. Calculate the remainder when 40 is divided by p(3).
18
Suppose t = -8 + 29. Suppose 2*s = s + t. What is the remainder when 40 is divided by s?
19
Let r = -43 - -88. Suppose -o - 22 = -3*a + 42, -31 = -2*a + 3*o. What is the remainder when a is divided by r/(-20)*32/(-6)?
11
Suppose 3*l + 72 = 9*l. Calculate the remainder when l is divided by 2.
0
Let b(y) = y**3 - 3*y**2 - 5*y + 4. Let x be b(4). Suppose -4*q + 56 = 4*l, -l + x*l = -q - 16. What is the remainder when 58 is divided by l?
13
Suppose 244 = 4*i + 28. Let y = 13 + i. Suppose 6*l + u = l + y, 0 = -3*l - 2*u + 43. What is the remainder when 24 is divided by l?
11
Suppose -3*d + 130 = 10*d. What is the remainder when 97 is divided by d?
7
Calculate the remainder when ((-2)/2)/((-1)/41) is divided by 21.
20
What is the remainder when -2 + (260/6 - (-4)/(-12)) is divided by 22?
19
Suppose -3*s - 3*t + 29 = 2, -2*s = -5*t - 11. Let f(q) = q**2 - 6*q. Let x be f(6). Let z(n) = n + 3. Calculate the remainder when s is divided by z(x).
2
What is the remainder when 76 is divided by (0 - (2 - 0))*11/(-2)?
10
Suppose 0 = -2*q + 4*q. Suppose 2*v = -q*v + 20. What is the remainder when v is divided by 80/14 - 2/(-7)?
4
Let d = 50 - -27. What is the remainder when d is divided by 20?
17
Suppose -5*v = -10, 5*v - 31 = -3*m + 24. Calculate the remainder when m is divided by 8.
7
Suppose z = -5 - 13. Calculate the remainder when (-21)/(-42) + 134/4 is divided by z*(-2 + 8/6).
10
Suppose -70 = u - 6*u. Suppose 0 = -4*q + 3*h - 2*h + 37, 5*h = 5*q - 65. Calculate the remainder when u is divided by q.
6
Suppose -39*l = -35*l - 36. Calculate the remainder when l is divided by 7.
2
Suppose -2*k = r - 3, -4*k = -0*r - r + 3. Suppose -23 = -5*t + 27. Calculate the remainder when t is divided by r.
1
Let h = 11 - 7. Suppose 38 = h*o - 30. What is the remainder when 49 is divided by o?
15
Suppose -7 = -2*s + 43. What is the remainder when s is divided by 14?
11
Let y = 10 - 2. Let p = 5 - y. What is the remainder when 1*(-1 - p - -23) is divided by 13?
12
Let s(v) = v**3 + 16*v**2 - 19*v - 19. Calculate the remainder when s(-17) is divided by 6.
3
Let t(k) = k**2 - 5*k + 2. Let v(p) = -6*p + 1. Let j be v(1). Let d = 11 + j. Calculate the remainder when t(7) is divided by d.
4
Let i(u) be the first derivative of u**4/4 - u**3 - 5*u**2/2 + 6*u - 10. Calculate the remainder when 5 is divided by i(4).
1
Suppose 0 = -d + 41 + 2. Let b = -39 - -48. Calculate the remainder when d is divided by b.
7
Suppose 0 = -4*l - x + 9 + 7, l - 4 = -5*x. Let h be (-3)/21 + 375/(-21). What is the remainder when (-183)/h - 3/18 is divided by l?
2
Let o = -34 - -70. What is the remainder when 105 is divided by o?
33
What is the remainder when 32 is divided by 7 + -3 + (-14)/(-2)?
10
Let v be (-4)/18 + (-228)/(-54). Let j(k) = k**2 - k**3 + 3 + v*k**2 - 4*k + k**2 + 0*k**3. Calculate the remainder when 31 is divided by j(2).
9
Suppose b + 25 = -0*o + o, 5*b - 91 = -4*o. What is the remainder when o is divided by (-2)/(-7) + 178/14?
11
Let d = 22 - 11. Suppose 3*y - 2 = -i + 7, -i = 3. What is the remainder when d is divided by y?
3
Let y(f) = f**2 + 7*f + 11. Let r be y(-11). Suppose 5*w = -2*p - 3*p + 440, -355 = -4*w - p. Let l = w - r. Calculate the remainder when l is divided by 12.
10
Let t be (5 + -6)/(1/(-2)). Suppose c = -5*x + 33, t*c - 23 = x - 1. Suppose c = v + 4. Calculate the remainder when 26 is divided by v.
8
Let i = 251 - 18. What is the remainder when i is divided by 26?
25
Suppose -2*f + 61 = -5*c, c - 1 = 4*f - 96. Calculate the remainder when f is divided by 4/(-14) + 44/7.
5
Suppose w = -m - 3, -w - w = 3*m + 10. Suppose 2*k = -3 - w. Let h = 9 + k. Calculate the remainder when 11 is divided by h.
4
Let c be (0 - 0) + 1 + -5. Let r be ((-59)/c)/((-5)/(-20)). Let f = 89 - r. What is the remainder when f is divided by 16?
14
Suppose 2*m - 11 = t + 6, 0 = t - 3. Calculate the remainder when 23 is divided by m.
3
Suppose 0 = l + 4*l + c - 295, c - 179 = -3*l. Let v be 1/1 + (-5 - -99). Suppose -v + 20 = -5*i. What is the remainder when l is divided by i?
13
Suppose -2*q - 446 = -5*t - 3*q, -449 = -5*t - 4*q. What is the remainder when t is divided by 23?
20
Suppose b + 2*m - 12 = 2, 0 = m + 5. Calculate the remainder when 115 is divided by b.
19
Let y(a) = 15*a**3 - a. Let j be y(-1). Let c = j - -21. What is the remainder when 27 is divided by c?
6
Suppose 2*a - 5*g - 23 = -3, -a - g = -3. Suppose -a*s = -0*s - 90. What is the remainder when s is divided by 10?
8
Suppose -2*r = -6*r + 12. Let v = -4 + -1. What is the remainder when v/((-10)/6) - -4 is divided by r?
1
Suppose 2*v - 80 = -5*o, 0 = o + 4*v - 10 - 24. What is the remainder when 27 is divided by o?
13
Suppose -3*k = 5*v + 2*k - 285, 3*k = -v + 63. What is the remainder when v is divided by 15?
9
Let s(n) = -n + 1 + 2*n + 0 + 20*n. What is the remainder when s(1) is divided by 12?
10
Suppose -7*s + 35 = -7. Calculate the remainder when s is divided by 4.
2
Let h(n) = 0*n - n - 8 + 2. Let j be h(-9). Suppose -30 + 6 = -j*v. Calculate the remainder when 15 is divided by v.
7
Let k(l) = l**2 - l + 10. What is the remainder when 148 is divided by k(-4)?
28
Suppose -3*x + 46 = 5*l, 3*l + 0*x - 22 = x. Suppose l = 4*f - 20. Let k(v) = v**3 - 4*v**2 + 4*v. Calculate the remainder when f is divided by k(3).
1
Let c(s) = 2*s**2 - 4*s + 2. Suppose 4*y + 0*y = 60. Calculate the remainder when y is divided by c(3).
7
Let r be 2*-2 - -2 - -5. Suppose 2*q + r*c = 23, 5*c + 68 = 5*q + 2*c. Let m(k) = k + 16. Calculate the remainder when q is divided by m(-11).
3
Let n be 18/(0 - 2/2). Let i = 8 + n. Let j = -5 - i. Calculate the remainder when 13 is divided by j.
3
Let q = -36 - -43. Calculate the remainder when 31 is divided by q.
3
Suppose -z = -r + 7, 26 = 4*r - z - z. Let w(k) = -3*k - 1. Let l be w(-7). Suppose 0 = 5*y + l, -5*y = i + 1 + 3. What is the remainder when i is divided by r?
4
Let k(q) = 14*q + 5. Let f be k(6). Suppose 3*g = 2*g - 3*h + 35, f = 3*g + h. Suppose 10 = 97*s - 96*s. Calculate the remainder when g is divided by s.
9
Suppose -44 = x + 6. Let v = x - -79. What is the remainder when v is divided by 1/1*15/1?
14
Suppose -5*o + q = -146, -2*q + 6 = 8. What is the remainder when o is divided by 10?
9
Let u(a) = a* | {
"pile_set_name": "DM Mathematics"
} |
u(-3).
-11
Let p(k) = k**2 - 10*k + 7. What is p(6)?
-17
Let m(x) = x + 16. Give m(-10).
6
Let t(a) = -16*a**2 - 6*a + 5. Give t(1).
-17
Let u(o) = -7*o**2 + 35*o + 3. What is u(5)?
3
Let n(v) = v**3 - 9*v**2 + 7*v + 10. What is n(8)?
2
Let y(k) = -k**3 + 15*k**2 + 33*k + 9. Give y(17).
-8
Let n(f) = -2*f**2 + 30*f + 59. Calculate n(17).
-9
Let z(h) = -6*h + 4. Calculate z(6).
-32
Let u(s) = -2*s**3 + 60*s**2 - 6*s + 70. Determine u(30).
-110
Let j(h) = -85*h**3 + 4*h**2 - h - 1. What is j(1)?
-83
Let n(r) = -r**2 + 7*r + 49. Give n(11).
5
Let r(v) = v**3 - 17*v**2 - 20*v + 38. What is r(18)?
2
Let k(z) = 46*z. Determine k(-1).
-46
Let b(d) = 11*d**2 + 2*d + 1. What is b(-1)?
10
Let o(m) = m**2 - 4*m + 6. Determine o(4).
6
Let p(g) = -g**3 + 3*g**2 - 3*g + 3. Give p(2).
1
Let q(k) = -4*k - 252. What is q(-62)?
-4
Let f(y) = y**2 + 3*y + 2. Determine f(-3).
2
Let b(n) = -n**3 - 6*n**2 + 9*n + 11. What is b(-7)?
-3
Let m(q) = q**3 - 19*q**2 + 11*q + 16. Determine m(18).
-110
Let v(c) = -c**3 + 9*c**2 - 3*c - 21. Give v(9).
-48
Let q(h) = -h + 8. Calculate q(0).
8
Let q(y) = y**3 + 14*y**2 + 11*y - 17. Calculate q(-13).
9
Let k(h) = -h**3 - 3*h**2 + 5*h - 13. What is k(-5)?
12
Let y(k) = k**2 + 24*k + 132. Determine y(-10).
-8
Let v(d) = -69*d - 4. Give v(-1).
65
Let b(x) = -x**2 - x + 17. Calculate b(5).
-13
Let l(p) = -21*p + 302. Calculate l(14).
8
Let v(a) = -a**2 + 7*a + 10. Give v(7).
10
Let q(p) = -3*p**2 - 10*p - 2. Calculate q(-4).
-10
Let u(h) = -23*h**3 + 4*h**2 + h. What is u(1)?
-18
Let t(x) = -x**3 - 8*x**2 + 14*x + 24. What is t(-9)?
-21
Let g(j) = j**2 - 13*j + 33. Calculate g(10).
3
Let f(u) = u + 7. Determine f(-2).
5
Let s(p) = -p**3 + 7*p**2 + 7*p - 10. Determine s(8).
-18
Let b(z) = -z**2 - 10*z - 14. Give b(-7).
7
Let m(y) = -y**2 - 11*y - 15. Determine m(-10).
-5
Let g(b) = -b + 9. Calculate g(13).
-4
Let f(k) = 2*k**3 - 3*k**2 - 5*k - 2. Calculate f(-2).
-20
Let a(n) = -8*n - 15. Determine a(-3).
9
Let y(j) = -19*j + 36. Calculate y(4).
-40
Let a(t) = 3*t**2 - 4*t - 3. Determine a(-3).
36
Let q(u) = -4*u - 12. Calculate q(10).
-52
Let p(a) = -a**3 + 19*a**2 - 15*a - 52. Calculate p(18).
2
Let h(g) = g**3 - 11*g**2 + 2*g - 16. Determine h(11).
6
Let x(y) = -y**2 + 9*y - 20. What is x(6)?
-2
Let v(y) = y**3 - 4*y**2 - 5*y + 5. Determine v(5).
5
Let c(p) = p**3 - p**2 - 3*p - 2. Determine c(-2).
-8
Let x(g) = g**2 + 11*g - 7. Determine x(-8).
-31
Let p(w) = w**2 + 14*w + 26. Determine p(-12).
2
Let f(k) = k**2 + 10*k - 65. Determine f(-14).
-9
Let q(w) = w**3 + w**2 + 3*w - 2. Determine q(2).
16
Let h(u) = -2*u - 3. Determine h(-8).
13
Let c(v) = 2*v**2 + 23*v - 136. Calculate c(-16).
8
Let r(h) = -h**3 - 6*h**2 + 6*h + 5. Calculate r(-5).
-50
Let o(u) = 7*u - 17. Give o(7).
32
Let r(c) = -12*c + 2. Determine r(-3).
38
Let s(c) = -c**3 - 9*c**2 + 3*c - 15. Calculate s(-8).
-103
Let s(a) = -a**2 + 10*a + 6. Calculate s(11).
-5
Let c(s) = -19*s + 13. Determine c(4).
-63
Let o(m) = m**3 - 11*m**2 + 10*m + 1. What is o(10)?
1
Let v(x) = x**3 + 8*x**2 + 7*x + 7. Determine v(-7).
7
Let o(w) = -12*w + 129. Give o(11).
-3
Let r(j) = j**2 - 2*j + 24. Calculate r(0).
24
Let y(v) = -6*v + 32. Calculate y(10).
-28
Let y(l) = -l**2 - 21*l + 116. Determine y(-26).
-14
Let v(t) = -4*t**2 + 3*t. Determine v(2).
-10
Let m(z) = -z. What is m(-6)?
6
Let f(t) = -t**3 + 9*t**2 + 2*t - 6. Give f(9).
12
Let o(w) = -w**2 + 12. Calculate o(4).
-4
Let h(g) = -2*g**2 - 7*g + 6. What is h(-6)?
-24
Let x(q) = q**2 - 45*q + 383. Give x(11).
9
Let i(f) = -11*f**3 - f**2 + 2*f - 1. What is i(1)?
-11
Let b(i) = -i + 4. Determine b(3).
1
Let d(f) = -f**2 + 14*f + 33. Give d(17).
-18
Let f(q) = -2*q**2 - 3*q - 3. Give f(-2).
-5
Let m(u) = u - 20. Determine m(13).
-7
Let f(c) = -c**3 + 12*c**2 + 13*c - 21. Give f(13).
-21
Let p(f) = -22*f + 2. Give p(2).
-42
Let a(h) = -h**3 + h**2 + 2*h - 2. Calculate a(3).
-14
Let s(l) = -l**2 - 6*l - 6. What is s(-6)?
-6
Let s(v) = v**3 + 3*v**2 - 5*v + 3. Determine s(-4).
7
Let m(j) = 2*j**2 - 8*j + 3. What is m(4)?
3
Let i(g) = 33*g + 1. Calculate i(-1).
-32
Let d(j) = j**2 - 4*j - 37. Give d(7).
-16
Let n(m) = -m**2 - 11*m - 19. Determine n(-6).
11
Let i(p) = 6*p - 98. Calculate i(15).
-8
Let i(t) = t**2 - 14*t - 5. Give i(13).
-18
Let n(a) = a**3 + 10*a**2 + 11*a + 5. Calculate n(-9).
-13
Let m(k) = 2*k**3 + 3*k**2 - 3*k - 1. Give m(-3).
-19
Let l(v) = 2*v + 8. Determine l(14).
36
Let i(a) = -3*a**3 + 2*a**2 - 1. What is i(2)?
-17
Let l(y) = -y**3 + 31*y**2 + 30*y + 68. Determine l(32).
4
Let f(v) = -2*v - 2. Give f(-13).
24
Let n(v) = v**3 + 23*v**2 - 26*v - 55. Determine n(-24).
-7
Let x(b) = -14*b - 866. Calculate x(-62).
2
Let w(c) = -c**2 + 13*c + 74. Calculate w(17).
6
Let d(s) = s**2 - 13*s - 48. Calculate d(17).
20
Let l(f) = -f**3 + 6*f**2 - 6*f. Determine l(5).
-5
Let j(g) = g**3 - 6*g**2 - 8*g - 17. Determine j(7).
-24
Let b(t) = t - 14. Give b(20).
6
Let f(y) = -y + 32. Give f(12).
20
Let u(s) = s**3 + 5*s**2 + 9*s + 9. Calculate u(-3).
0
Let s(t) = t**2 + 12*t + 15. Calculate s(-13).
28
Let l(s) = -s**3 - 9*s**2 - 26*s - 147. What is l(-8)?
-3
Let n(f) = 3*f**2. Give n(-1).
3
Let f(m) = -5*m**3 - 2*m + 1. Give f(1).
-6
Let z(v) = -2*v**3 - 8*v**2 + 2*v + 6. Give z(-4).
-2
Let d(o) = -o**3 - 29*o**2 - 27*o + 28. Calculate d(-28).
0
Let w(o) = -5*o**2 + 20*o + 10. Give w(5).
-15
Let s(m) = m**3 - 9*m**2 - 10*m + 10. Calculate s(10).
10
Let s(q) = q**2 + 35*q + 256. What is s(-10)?
6
Let j(g) = -g**3 - 11*g**2 - 7*g + 14. Give j(-10).
-16
Let p(n) = 4*n - 9. What is p(6)?
15
Let l(s) = 4*s**2 - 5*s + 2. What is l(4)?
46
Let v(x) = x**3 - 14*x**2 + 11*x + 3. Calculate v(13).
-23
Let y(k) = -k**2 + 8*k + 9. Give y(7).
16
Let t(h) = h**3 + 15*h**2 + 14*h - 9. What is t(-14)?
-9
Let k(y) = -y**2 - 15*y - 17. What is k(-17)?
-51
Let q(s) = -6*s - 41. Give q(-10).
19
Let j(q) = -q**3 + 19*q**2 - 22*q + 44. Calculate j(18).
-28
Let q(s) = s**3 - 7*s**2 - 16*s - 7. Give q(9).
11
Let d(f) = f**3 - 25*f**2 - 26*f - 7. Calculate d(26).
-7
Let c(z) = z**3 - 4*z**2 - 3*z + 4. Calculate c(4).
-8
Let c(w) = -6*w**2 - w + 2. Give c(0).
2
Let h(p) = -p**3 - 10*p**2 + 11*p + 8. Give h(-11).
8
Let f(d) = d**2 + 13*d + 21. Give f(-11).
-1
Let k(h) = -h**2 + 29*h - 191. Calculate k(16).
17
Let f(b) = 15*b + 65. Calculate f(-5).
-10
Let f(u) = -2*u**3 - 3*u**2 - u + 4. Give f(2).
-26
Let w(v) = 2*v**3 - v**2. What is w(2)?
12
Let l(d) = -d**3 - 13*d**2 - 13*d + 14. Determine l(-12).
26
Let k(s) = -6*s**2 + 9*s - 5. Give k(4).
-65
Let d(f) = -2*f**3 + 23*f**2 - 16*f + 58. Determine d(11).
3
Let b(z) = z**2 + 34*z - 1. Determine b(-34).
-1
Let g(c) = c + 13. Give g(-11).
2
Let d(t) = -9*t**2. What is d(-1)?
-9
Let v(z) = -2*z**2 - 10. Calculate v(6).
-82
Let z(m) = -m**2 + 5*m + 9. Determine z(6).
3
Let x(d) = 10*d + 1. Calculate x(1).
11
Let a(y) = 8*y**3 - 2*y**2 + 3*y - 2. Calculate a(1).
7
Let f(k) = -9*k + 54. Calculate f(14).
-72
Let o(t) = -9*t - 11. Determine o(-8).
61
Let m(x) = 30*x - 209. Calculate m(7).
1
Let l(g) = -g - 8. Calculate l(4).
-12
Let c(v) = -v + 12. What is c(32)?
-20
Let k(x) = x**2 - 2*x - 38. Give k(7).
-3
Let r(g) = g**3 - 5*g**2 + 3*g - 1. Determine r(4).
-5
Let c(j) = j**2 + 11*j + 3. Determine c(-9).
-15
Let s(r) = -r**3 + 7*r**2 + 20*r - 11. What is s(9)?
7
Let p(h) = -10*h - 4. Calculate p(-6).
56
Let c(j) = 2*j - 41. What is c(7)?
-27
Let y(k) = -5*k - 124. Calculate y(-25).
1
Let v(x) = -x**3 + 22*x**2 + 25*x + 16. Give v(23).
62
Let o(q) = -q**3 - 9*q**2 - 3*q - 5. Calculate o(-9).
22
Let t(k) = -11*k + 15. Give t(7).
-62
Let p(v) = v**3 + 2*v**2 - 3. What is p(-3)?
-12
Let j(m) = 3*m**2 - 5*m + 4. Give j(2).
6
Let h(r) = r**3 + 6*r**2 - 3*r - 1. What is h(-4)?
43
Let h(f) = f**3 + 20*f**2 + 95*f + 49. Determine h(-13).
-3
Let p(a) = a + 17. Give p(-14).
3
Let m(y) = y - 6. Give m(0).
-6
Let g(h) = 3*h**2 + 17*h - 5. Determine g(-6).
1
Let c(o) = -o**3 + 27*o**2 - 26*o - 2. What is c(26)?
-2
Let y(b) = -2*b**2 + 5*b. What is y(5)?
-25
Let x(c) = c + 14. Determine x(-10).
4
Let m(g) = g**2 + 22*g - 2. What is m(-16)?
-98
Let n(b) = b**2 - 23*b - 56. What is n(26)?
22
Let b(d) = d**2 + 8*d - 13. Determine b(-9).
-4
Let k(d) = -2*d**2 + d - 9. What is k(4)?
-37
Let t(n) = n**3 + 18*n**2 - 41*n | {
"pile_set_name": "DM Mathematics"
} |
/(-48)*3).
4/7
What is 127/5461*1*6/(-3)?
-2/43
(195/(-60))/(-13)*((-64)/(-6))/(-8)
-1/3
18/(((-2)/16*1)/((-613)/(-2452)))
-36
What is the value of 3*-3*(-325)/(-117)?
-25
Calculate (875/750*(-6)/(-28))/(106/16).
2/53
(-3*4/84)/((-166)/(-166))
-1/7
What is the value of (-5)/63*-3*222/185*-2?
-4/7
(-14*4/98)/(132/(-42))
2/11
Calculate (6032/(-10556))/((-4)/(-14)).
-2
Calculate (90/(-150))/((-30)/12*3).
2/25
What is ((-2)/((42*-8)/16))/((-24)/9)?
-1/28
What is (-335)/67*(-1)/((-2)/2)?
-5
Calculate ((3/((-18)/4))/(-3))/((-22)/33).
-1/3
Evaluate (-869)/395*(-3)/22.
3/10
(-12438)/20730*((-190)/6)/1
19
What is ((36/504)/(2/28))/(2/(-12))?
-6
(2/4)/((-2)/(-10)*(-4400)/160)
-1/11
What is (-3844)/(-248)*(-4)/(-2)*-1?
-31
Calculate 32/200*5*2/((-48)/20).
-2/3
Evaluate 358/13783*(-11)/7.
-2/49
What is ((11/1)/44)/((-6)/16)?
-2/3
Evaluate 18/342*(-114)/(-6).
1
What is the value of ((-12)/5*(-19)/38)/(6/(-140))?
-28
((-3)/(-9))/((-74)/(-925))
25/6
What is (146/219)/((-3)/(-18))?
4
9/(117/(-13))*-6*(-1)/34
-3/17
84/70*(-160)/24
-8
Evaluate (7*2/30)/(7/(-21)).
-7/5
What is ((-1)/3)/(377/78)?
-2/29
What is -2*6/36*1*(-6)/29?
2/29
Evaluate (-2)/(((-2)/(-49)*-1)/((-3288)/5754)).
-28
What is -2*(-5)/(-5)*6/((-120)/310)?
31
Calculate ((-32)/64*(-32)/252)/(4/18).
2/7
Evaluate (9898/(-606))/((-7)/6).
14
What is the value of 48/(-756)*((-51)/4)/17?
1/21
((2/(-3))/(6/9))/((-2)/28)
14
Evaluate ((-3)/(84/(-70)))/(1/2).
5
Calculate (1/((-50)/20))/(1/15).
-6
Calculate (4/((-8)/(-3)))/(-34*84/(-238)).
1/8
What is ((-825)/125*10/8)/(6/(-16))?
22
-4*6*(-24)/2052*-57
-16
((-17)/153*9/21)/((-1)/(-3))
-1/7
Evaluate ((-72)/(-10))/(34/(-2210)*-26).
18
(25/10)/(17*(-21)/(-2856))
20
What is (1/(-10))/((11/(-4))/11)?
2/5
Evaluate (-225)/30*26/1170.
-1/6
What is the value of -6*(((-2)/12)/(-1))/((-1)/(-9))?
-9
Calculate ((-6)/(-105))/((-342)/570).
-2/21
3/783*12*6/(-4)
-2/29
Calculate ((2/(-30))/((-2)/(-2)))/((-1086)/905).
1/18
180/((-180)/10)*3*3/(-9)
10
Evaluate 34*53/53*(-2)/4.
-17
(-13)/(364/(-14))*-50
-25
Calculate 12/15*-3*-3*60/(-27).
-16
Calculate 0/(-20*(-23)/(-184)*(-4)/(-10)).
0
Evaluate ((-465)/651)/((-5)/6)*(-28)/(-6).
4
What is (-6*(-2)/(-42))/(22/33)?
-3/7
What is (4/(-24)*4)/(3/(-6))?
4/3
What is ((77/4)/7*36/(-9))/1?
-11
What is the value of 11/(-132)*6*-4*11?
22
((36/(-45))/((-2)/4))/((-28)/10)
-4/7
What is the value of (64/48)/(10/(-15))?
-2
What is the value of (36/(-3*1))/(51/((-1683)/22))?
18
Calculate (8/40)/((-24)/360).
-3
Calculate 20/(8800/(-60))*-4.
6/11
Calculate 78/3315*119*5*1.
14
What is (2415/(-28))/(-23)*-4?
-15
Calculate ((-10)/14)/((-13)/819*9).
5
((42/(-243))/(-7))/(3/(-9))
-2/27
((-1)/34)/((-170)/1445)
1/4
Calculate ((-4)/(-384)*-12)/(16/(-4)).
1/32
What is the value of ((-105)/700)/((-27)/45)?
1/4
What is 19/380*30*12/(-477)?
-2/53
What is the value of -10*(-26)/(-1365)*(-2)/((-16)/3)?
-1/14
What is the value of ((12/8)/((-264)/(-44)))/(2/2)?
1/4
What is the value of (-13)/(-4*7/(-28))?
-13
Calculate (1/5)/((897/195)/23)*30.
30
What is 984/246*(-2)/(-1)?
8
Calculate 13/(52/(-8))*98/84*-9.
21
Calculate (35/(-245))/(-4*(-2)/56).
-1
12/210*(-10)/(-4)*2
2/7
((525/18)/(-25))/(9/((-162)/15))
7/5
Calculate ((140/(-3283))/(-5)*-7)/2.
-2/67
What is (58/290)/(((-9)/(-3))/15)?
1
What is (-1)/7*(6/8)/(9/(-42))?
1/2
Evaluate 9/30*12/252*(-14)/(-2).
1/10
What is (60/1)/(-12)*1?
-5
Evaluate ((-24)/(-14))/2*11/(-132)*6.
-3/7
What is ((-1422)/6004)/((-18)/(-4))?
-1/19
((-8)/4)/(10/(-20))*2
8
((53/(-424))/(5/(-24)))/((-14)/(-70))
3
What is 4/(((-4)/((-28)/7))/((-7)/91))?
-4/13
(40/3750*15)/(-2)
-2/25
What is the value of ((-8)/(8/(-2)))/(((-78)/(-3))/13)?
1
What is (28/112)/(5*3/(-1020))?
-17
What is the value of ((-9)/12)/((-291)/1552)?
4
Calculate (-16)/(-6)*(-6)/(30*-4).
2/15
What is (-56)/88*154/(-28)?
7/2
Evaluate (((-4)/12)/(1/5))/(225/(-45)).
1/3
What is (-8)/13*((-29419)/62)/73?
4
Calculate 603/(-268)*10/(-9)*(-52)/(-10).
13
Calculate 15/(-10)*14/18.
-7/6
Evaluate ((-4)/6*(-25)/(-50))/(2/4).
-2/3
((-19)/57)/(-3*(-42)/(-81))
3/14
What is (6/90*-5)/(10/(-60))?
2
72*((-234)/(-9))/(-78)
-24
(-576)/(-216)*(-6)/(-46)*(-2)/(-8)
2/23
Evaluate ((-1530)/(-408))/(1/1)*2/(-12).
-5/8
What is the value of (6/(-8))/((-33)/88)*1/(-2)?
-1
((5*(-16)/80)/((-1)/1))/(-13)
-1/13
What is (-243)/(-45)*165/(-33)?
-27
((-8)/5)/(33/(-275)*70)
4/21
((-1938)/5168)/(22/(-8))
3/22
What is the value of (((-12)/6)/4)/((-69)/(-6))?
-1/23
Evaluate 5/(-4)*(-25792)/(-1040).
-31
What is 10/168*7740/9675?
1/21
What is (-117)/(-12)*148/(-111)?
-13
What is the value of 84/12*375/525?
5
20/(-2*720)*-8
1/9
((-408)/(112/(-14)))/3
17
What is (69/(575/25))/((-2)/(-4))?
6
What is the value of (106875/(-750))/(30/(-4))?
19
((-2)/((-16)/(-84)))/(243/(-486))
21
Evaluate (1*(-2)/4)/((-8371)/(-284614)).
-17
Calculate 1265/(-230)*36/(-22).
9
What is the value of ((21/(525/25))/(-2))/(7/8)?
-4/7
Evaluate (13/((-104)/(-8)))/(1*22/8).
4/11
What is the value of ((-7)/2)/(686/392)?
-2
What is (-35)/(-5)*(-13)/7?
-13
Calculate 3360/(-630)*2/(-8)*(-6)/(-52).
2/13
Calculate ((-1)/6)/((-11)/33).
1/2
Evaluate (-33)/11*370/270*9.
-37
What is 9/(-36)*616/22?
-7
((-4)/7)/(-18*20/(-8820))
-14
(((-169)/26)/(-13))/(-11)
-1/22
Calculate ((-105)/(-7))/(-15)*3/33.
-1/11
Evaluate 20/16*(912/(-95))/(-2).
6
What is the value of ((-2)/(-12))/(9/450*25)?
1/3
(3/4)/(-6*(-1)/60*5)
3/2
Evaluate ((-6)/(-24))/(30/8*24/(-432)).
-6/5
Evaluate (-21)/(-12)*(-376)/329.
-2
What is the value of (-145)/(-609)*45/25?
3/7
Evaluate 39/(-33)*((-2090)/(-10))/(-19).
13
What is (2/40*4)/((-840)/240)?
-2/35
(4/(-2))/((-5)/((-15)/(-39)))
2/13
Evaluate (-84)/(-2)*3/6*70/(-105).
-14
Calculate (-8)/((-15)/(300/4)).
40
Calculate (3/(-7))/((-122)/(661850/93)).
25
Calculate 2*1*(-180)/120.
-3
What is the value of ((-1)/(-14))/(3/(-4)*(-30)/90)?
2/7
((3/(-14))/1)/(17/(1224/(-54)))
2/7
(21/14)/(39/2)
1/13
((-2)/(-1))/((-5)/((-760)/(-16)))
-19
What is 60/8*(28/2)/(-7)?
-15
Calculate (-12)/16*(832/72)/13.
-2/3
Evaluate (-4)/(56/70)*((-84)/(-15))/(-2).
14
What is (-1)/(-8)*5/(60/8)?
1/12
What is ((-91)/7)/39*2*(-12)/28?
2/7
What is the value of ((-12)/(-84))/(48/84*(-6)/(-8))?
1/3
0/((14/84)/((-1)/(-6)))
0
What is ((-8)/(-28))/(30/42)*70/4?
7
(((-114)/(-12))/1)/(((-60)/12)/(-10))
19
What is 3/((7*(-22)/(-28))/2)?
12/11
What is the value of (-2)/10*(-16)/2*460/(-920)?
-4/5
(-5)/2*-4*(-432)/(-1440)
3
What is -10*(-8)/360*270/15?
4
Evaluate (-3*1/(-30))/(812/1015).
1/8
What is 8/56*(-861)/(-82)?
3/2
Calculate ((-312)/(-3510))/(4/(-30)*-9).
2/27
What is the value of (34/(-680))/((-11)/(-396))?
-9/5
What is (-12*25/(-1500))/((75/3)/(-5))?
-1/25
Calculate 6909/1692*(-16)/(-28).
7/3
(-8)/3*(3618/(-252))/(-67)
-4/7
What is the value of 24/(-16)*(-1)/(-3)*2820/(-376)?
15/4
What is the value of (4986/(-1385))/((-7)/(-5))*(-5)/(-10)?
-9/7
(9*2/81)/(((-2)/(-2))/(-15))
-10/3
Calculate -1*(-1)/(-1)*-8.
8
What is the value of ((-6)/7)/(171/1596)?
-8
What is the value of 27/6*21/126?
3/4
What is 7/(42/(-10))*(-2)/(6/(-9))?
-5
Calculate 27/(-189)*-4*4/8.
2/7
What is the value of (-140)/315*(-9)/2?
2
What is 11/(44/24)*295/(-8260)?
-3/14
What is the value of (((-7)/98)/(2/4))/((-2)/(-7))?
-1/2
What is the value of (4/(-7))/(1666/343)?
-2/17
What is the value of -9*((-28)/(-4))/(-14)*(-4)/(-2)?
9
Evaluate ((-30)/4)/((-110)/(-55)*3/12).
-15
Evaluate (-147)/(-14)*(-1184)/444.
-28
What is ((-795)/1325)/(99/10)?
-2/33
What is the value of ((((-20)/(-113))/5)/(4/(-2)))/(-1)?
2/113
((-2)/6)/((656/864)/41)
-18
Evaluate (-3)/((-19)/(38/(-2))).
-3
What is the value of (-40)/(-4)*(-2)/(-10)?
2
What is the value of 22/11*(-42)/60*(-42)/(-490)?
-3/25
Evaluate 20/72*((-3)/180)/(-1)*-8.
-1/27
Evaluate 69/(-897)*26/6.
-1/3
What is the value of (-405)/(-90)*3/(-135)?
-1/10
(314/314)/(1/((-63)/(9/(-3))))
21
What is the value of (29/((-638)/66))/(-5)?
3/5
What is the value of ((-53)/(-53))/(1/(-11))?
-11
((-84)/(-105))/((-170)/(-25))
2/17
What is (-1*15)/(((-3)/54)/(66/891))?
20
What is 4/24*1512/(-240)*5?
-21/4
What is the value of (((-46)/115)/((-2)/(-3)))/(783/(-290))?
2/9
Calculate (322/(-115))/(56/(-80)).
4
Evaluate (-11)/(-99)*-6*6.
-4
What is the value of ((-2)/2)/(47/611)?
-13
Calculate (2*8/(-12))/(20/(-45)).
3
What is the value of ((92/2070)/((-8)/6))/(3/(-12))?
2/15
Evaluate (-14)/(- | {
"pile_set_name": "DM Mathematics"
} |
qrt(136) - (sqrt(136)*-5 + sqrt(136)))))/((sqrt(80)*-3)/sqrt(10) - sqrt(8)).
-2*sqrt(17)
Simplify -1 + sqrt(17) + -3 + -5 - (4*sqrt(17)*-2 + sqrt(17) + (sqrt(136)/(sqrt(32)/sqrt(4)))**2).
-26 + 8*sqrt(17)
Simplify ((1 + sqrt(1573) + -5 - sqrt(39)/sqrt(48)*5) + -2)**2*-3.
-61047/16 + 351*sqrt(13)
Simplify (sqrt(152)*-1*3)/(sqrt(8) + -2*sqrt(392))*-3.
-9*sqrt(19)/13
Simplify -4*(sqrt(17) - (-2*sqrt(2448) + sqrt(2448) + sqrt(2448))) + sqrt(119)/(sqrt(1400)/sqrt(8)).
-19*sqrt(17)/5
Simplify (4 + (sqrt(1900) - (sqrt(1900) + -5 + 0 + sqrt(1900)) - (sqrt(1900) + sqrt(1900)*-1 + sqrt(1900) + 4)))**2.
-200*sqrt(19) + 7625
Simplify (sqrt(189)/(sqrt(3) - sqrt(192)))/((sqrt(9) - sqrt(81))*4)*5.
5*sqrt(7)/56
Simplify -3 + ((sqrt(147) - -2*sqrt(147)) + 0 - (-1*sqrt(480))/sqrt(10))**2*4.
7497
Simplify 1 + ((sqrt(2057) - 6*(sqrt(2057) + 1*sqrt(2057))) + sqrt(2057)*-1 + -1)**2.
264*sqrt(17) + 296210
Simplify (6*(2*sqrt(117)*-6 - ((4*sqrt(117) - sqrt(117))*-2 + sqrt(117)))*-3)**2.
1857492
Simplify ((-5 + 2*sqrt(684))*1 + 4 + -2 + sqrt(684) + -1 + sqrt(684))**2.
-192*sqrt(19) + 10960
Simplify ((-2*sqrt(66)*2 + sqrt(66))*-6)/((-1*sqrt(726)*-2 - sqrt(726)) + sqrt(726)).
9*sqrt(11)/11
Simplify 0 + 0 + ((sqrt(832) + sqrt(832) + sqrt(832)*-1*-3 + sqrt(832) + sqrt(832) - sqrt(832)) + sqrt(832))**2 + 4 + 3.
40775
Simplify (6*(1 + (2 + -2 + sqrt(320) - sqrt(320)))*4*4)**2.
9216
Simplify ((sqrt(684) + 1 + sqrt(684))*-6)**2 + (sqrt(931) + -1 + -2 + sqrt(931))**2.
780*sqrt(19) + 102265
Simplify 5 + 1 + sqrt(704) + -3 + -4*(sqrt(275) + 0).
-12*sqrt(11) + 3
Simplify (sqrt(320) + 2)**2 - sqrt(120)/sqrt(6) - (-2 + sqrt(1620))**2.
-1300 + 102*sqrt(5)
Simplify -4 + sqrt(1700) + -3 + sqrt(1700) + (4*(sqrt(1700) + 3))**2.
980*sqrt(17) + 27337
Simplify (sqrt(450) - (sqrt(450)*-3*1 + sqrt(450) + sqrt(450)) - (4*sqrt(180)/sqrt(10) + -3))**2.
108*sqrt(2) + 657
Simplify -1*sqrt(50) + 5 + -2 + sqrt(12)/sqrt(54).
-14*sqrt(2)/3 + 3
Simplify -5*(2*sqrt(175) + sqrt(175))**2 + -1 + ((sqrt(175)*-1)**2 - sqrt(175)) - 2*2*((sqrt(175)*1)**2 + sqrt(175)).
-8401 - 25*sqrt(7)
Simplify ((sqrt(10)*1)/sqrt(5) + -1*(sqrt(2) + 0))**2 + -3*((sqrt(200) + sqrt(200) + -1 + sqrt(200))*3)**2.
-48627 + 1620*sqrt(2)
Simplify ((sqrt(352) - 1*sqrt(352)*-3)/sqrt(8))/(sqrt(96)/(-4*sqrt(6))).
-8*sqrt(11)
Simplify -1 + 5*(sqrt(1573) - -6*(sqrt(1573) + -1))*1.
-31 + 385*sqrt(13)
Simplify (((1 + sqrt(11))*-1 - (-2*sqrt(110))/sqrt(10)) + -1*(sqrt(275) + -2))**2.
-8*sqrt(11) + 177
Simplify ((2*sqrt(170)*-2*-2)/(((sqrt(50)*2)/sqrt(5) - sqrt(10)) + (2*sqrt(1440) - sqrt(1440)))*3)**2.
9792/169
Simplify -5 + sqrt(128) + 0 - (sqrt(1280)/sqrt(10) + -1).
-4
Simplify (((-2*sqrt(99) + sqrt(99))*-3)/sqrt(9) + 5)*3.
15 + 9*sqrt(11)
Simplify ((-2*sqrt(180))/sqrt(4))/(sqrt(81) + 4*sqrt(81)).
-2*sqrt(5)/15
Simplify (3*((0 + sqrt(112) + sqrt(112) + -4 - sqrt(112) - sqrt(112)) + -4) + 2)**2.
484
Simplify (((-1*sqrt(36))/sqrt(3))/(-2*-1*sqrt(6)))**2 - (-4 + sqrt(72) + 5*-3*sqrt(2)).
9/2 + 9*sqrt(2)
Simplify ((-5 + (sqrt(70)*5)/sqrt(10)*4)*3 + 4)**2.
-1320*sqrt(7) + 25321
Simplify (-5 + (2 + sqrt(833) - sqrt(833)) + sqrt(833) - sqrt(833) - (3*sqrt(833) + 5))**2*4.
1344*sqrt(17) + 30244
Simplify -1 + (-1*-1*sqrt(1300))**2 + -1 + 0.
1298
Simplify 5*(-2*(sqrt(704) - (sqrt(704) - sqrt(704)*1))*4)**2*-3.
-675840
Simplify (sqrt(42)/(-6*(sqrt(54) + sqrt(6))) + sqrt(252) + (1*sqrt(35))/sqrt(5))**2.
195223/576
Simplify -4 + (-4*(((sqrt(833) - sqrt(833)*3 - sqrt(833))**2 - sqrt(833)) + sqrt(833)) - (sqrt(833) - (2 + sqrt(833)))*-4).
-30000
Simplify sqrt(13)*2*-3*-6 - sqrt(39)/((sqrt(108) - (sqrt(108) + -2*sqrt(108))) + sqrt(108)).
647*sqrt(13)/18
Simplify -1*sqrt(208)*3*6 + ((sqrt(208)*1)**2 + -3 - ((sqrt(208) - (sqrt(208)*-1 + sqrt(208))**2) + 2)).
-76*sqrt(13) + 203
Simplify 4 + (-5 + sqrt(448) + 2*sqrt(448) + 4)**2 + -3.
-48*sqrt(7) + 4034
Simplify (-3 + 6*1*sqrt(832))**2 - (-6*(sqrt(832) + -5*sqrt(832)*-3))**2.
-7637751 - 288*sqrt(13)
Simplify 3 + (4*(-1*sqrt(304) + sqrt(304))*-6 - 1*(sqrt(304) - (-2*sqrt(304) + 0)))**2.
2739
Simplify ((sqrt(280)/(sqrt(40)/sqrt(5)))/(sqrt(40)/(1*sqrt(8))))**2 + 1.
8
Simplify 5 + -3*sqrt(108) - (sqrt(12) - (sqrt(12) - -2*(sqrt(108))**2)).
-18*sqrt(3) + 221
Simplify ((-4*(sqrt(1008) - (sqrt(1008) - (0 + sqrt(1008) - sqrt(1008)))) + sqrt(1008) + -2 + 2)*-4*6)**2.
580608
Simplify (-1*-2*sqrt(156) + sqrt(156) - 3*(sqrt(156) - ((sqrt(156) - (-2*sqrt(156) + sqrt(156))) + sqrt(156))))/(sqrt(144)/(-1*-1*sqrt(12))).
9*sqrt(13)
Simplify (sqrt(605) - (sqrt(605) - (3*(sqrt(605) + 2) - sqrt(605))))**2 + -4 + (-2*(sqrt(605) + sqrt(605) + -2) + sqrt(605))*4.
132*sqrt(5) + 2468
Simplify (2 + sqrt(171) + 1 - (-3 + 1*sqrt(171))) + 5*(3 + (sqrt(171) + sqrt(171) + (sqrt(171) + 0)**2 - sqrt(171)) - sqrt(171)).
876
Simplify sqrt(18)/(6*sqrt(30)/sqrt(5)) - (sqrt(18)*-2)/sqrt(6)*-1.
-11*sqrt(3)/6
Simplify 5 + (sqrt(91)*2 - sqrt(91) - sqrt(91))/sqrt(7) + (sqrt(104) - (sqrt(104) + (sqrt(104) - sqrt(104)*2)*4 - sqrt(104)))/sqrt(8).
5 + 5*sqrt(13)
Simplify sqrt(125) + sqrt(125) + (sqrt(125) - 3*sqrt(125)) + 5 + ((-1*sqrt(125))**2 - sqrt(125))*-4.
-495 + 20*sqrt(5)
Simplify (1*(6*(-3 + sqrt(1377) - sqrt(17)*2*4) + 4))**2.
-168*sqrt(17) + 808
Simplify (0 + -1 + sqrt(9)/sqrt(3) + sqrt(3)*4*5 + 2)**2.
42*sqrt(3) + 1324
Simplify (-4*sqrt(117)*3 + sqrt(117))/(sqrt(9) + sqrt(63)/sqrt(63)).
-33*sqrt(13)/4
Simplify -1*(3 + sqrt(13) + -1) + 0 + (sqrt(832) + 0 + 1 - (-1 + sqrt(832) + 1))**2.
-sqrt(13) - 1
Simplify (sqrt(12)*-1*-1 + (sqrt(108) - (1*sqrt(108) + sqrt(108) + sqrt(108)))/sqrt(9))/(2*sqrt(384)*1 + sqrt(384))*3.
-sqrt(2)/8
Simplify (6*(sqrt(220) - (sqrt(220) + (sqrt(220) - 1*sqrt(220)))))/(sqrt(11)*-1*-2).
0
Simplify (-6*(-5*(-3 + sqrt(405)) + (sqrt(405) + 0)*-1)*-2)**2.
-233280*sqrt(5) + 2131920
Simplify ((sqrt(32) - sqrt(192)/(sqrt(30)/sqrt(5))) + (sqrt(32) - (-4*sqrt(800) - sqrt(32))))**2.
15488
Simplify (4*(sqrt(49) + sqrt(441)*-6))/(5*(-2*sqrt(847) + sqrt(7))).
68*sqrt(7)/105
Simplify -3*((sqrt(44) - sqrt(176)*3)**2 - ((1*sqrt(1100))**2 + 1 + sqrt(99) + sqrt(99))).
3 + 18*sqrt(11)
Simplify sqrt(20) + (sqrt(120)/sqrt(24) - sqrt(20)) + sqrt(20)*1 + 1 + (sqrt(5) + -2)*2 + 2*(2 + sqrt(5) + sqrt(5)).
1 + 9*sqrt(5)
Simplify -1*(3 + sqrt(1216)) + (sqrt(1216) + 3)*-6.
-56*sqrt(19) - 21
Simplify 4 + 2*(sqrt(14)/sqrt(2)*-2 + (sqrt(7) - (sqrt(63) - (sqrt(63) + sqrt(63)*1))/sqrt(9))**2 - (-5 + -2 + sqrt(7))*5).
-14*sqrt(7) + 130
Simplify 0 + (sqrt(65)*3 + sqrt(65) + sqrt(65))/sqrt(5) + sqrt(26)/(sqrt(72) + 4*sqrt(72)).
151*sqrt(13)/30
Simplify 5*(-1 + sqrt(1573) + sqrt(208) - (3*sqrt(117)*-2 + sqrt(117)))**2.
-300*sqrt(13) + 58505
Simplify (sqrt(275) + -5 + sqrt(275) + (sqrt(275) - sqrt(275)*-1) + sqrt(275) + -1)**2 + 5.
-300*sqrt(11) + 6916
Simplify 1*(3 + sqrt(2299) + -1 - (sqrt(2299) + -1 + sqrt(2299) + sqrt(2299) + -1))**2*1.
-176*sqrt(19) + 9212
Simplify (sqrt(2736)*-2)**2*3 - 4*(sqrt(2736) + (sqrt(2736) - (-5*sqrt(2736))**2)).
-96*sqrt(19) + 306432
Simplify ((sqrt(4719) + sqrt(4719) + -6*sqrt(4719))/(sqrt(21)/sqrt(7)*-1))**2 + -2.
25166
Simplify sqrt(3328)*2 + -1 - -1*(sqrt(7488) + 1).
56*sqrt(13)
Simplify ((sqrt(153) - (1 + sqrt(153))*-6) + sqrt(153)*-1 + 2 - (sqrt(187)/(sqrt(99) + sqrt(11) + sqrt(11)) - (sqrt(1377) + -3)))**2.
268*sqrt(17) + 305877/25
Simplify ((sqrt(13) + -1)*-4 - (sqrt(13) + sqrt(13) + -1)*6 - 6*(-4*sqrt(65)/sqrt(5) - sqrt(13)))**2.
280*sqrt(13) + 2648
Simplify (((sqrt(19) - sqrt(19)*-3) + -5 - sqrt(19))*-2 - (5 + (sqrt(38)/sqrt(2))**2 + sqrt(19) + (sqrt(2736) + 1 + sqrt(2736) + sqrt(2736))**2))*3.
-73917 - 237*sqrt(19)
Simplify (((-3 + sqrt(48))*-6)**2 - (-3 + sqrt(48) + 1))*5.
-4340*sqrt(3) + 10270
Simplify (5*3*sqrt(152)*6)/(sqrt(56)/(sqrt(21)/sqrt(3))*-1).
-90*sqrt(19)
Simplify -2*((4*-1*sqrt(1331) - (sqrt(1331) - (1 + (sqrt(1331) + sqrt(1331)*4 + sqrt(1331))**2 + sqrt(1331)))) + -5).
-95824 + 88*sqrt(11)
Simplify ((1 + 6*sqrt(80)*4)*6)**2.
6912*sqrt(5) + 1658916
Simplify (sqrt(36)/(sqrt(42)/sqrt(7)*6))/(5*-4*sqrt(15)/sqrt(5)).
-sqrt(2)/120
Simplify (sqrt(14)/(sqrt(2)*-2) + (0 + sqrt(448))**2 - (-2 + sqrt(7) + -3*sqrt(7)*1 + sqrt(7)))*-6.
-2700 - 3*sqrt(7)
Simplify ((sqrt(15)/sqrt(3) + 4 - sqrt(160)/sqrt(8)) + -2 + 1*sqrt(5) + 0)**2.
4
Simplify (-2*(sqrt(63) + 1) + sqrt(63) + -1 - (sqrt(7)*3 + 2 + 1*sqrt(28)))** | {
"pile_set_name": "DM Mathematics"
} |
+ 169084*j/3 - 112724/3.
(j + 56362)*(3*j - 2)/3
Factor -1912*b**3/5 + 75716*b**2 - 18740304*b/5 + 39204/5.
-4*(b - 99)**2*(478*b - 1)/5
Find b such that -2*b**2 + 45200*b + 45202 = 0.
-1, 22601
Solve n**3 + 491*n**2 + 12964*n = 0 for n.
-463, -28, 0
Solve 3*h**3 - 156*h**2 + 357*h + 4116 = 0 for h.
-4, 7, 49
Factor 5*l**3 + 22745*l**2 + 26036495*l + 385446675.
5*(l + 15)*(l + 2267)**2
Factor -3*u**3 + 21966*u**2 + 43953*u - 65916.
-3*(u - 7324)*(u - 1)*(u + 3)
Factor -3*o**3 - 11001*o**2 + 11010*o + 22008.
-3*(o - 2)*(o + 1)*(o + 3668)
Let 5*d**4 + 380*d**3 + 3135*d**2 + 8140*d + 6700 = 0. What is d?
-67, -5, -2
Solve 2*c**4/19 - 578*c**3/19 + 2838*c**2/19 + 578*c/19 - 2840/19 = 0 for c.
-1, 1, 5, 284
Factor -422*o**3/13 + 6748*o**2/13 - 26944*o/13 - 256/13.
-2*(o - 8)**2*(211*o + 2)/13
Suppose -3*l**3 + 5607*l**2 + 28128*l - 33732 = 0. Calculate l.
-6, 1, 1874
Factor -r**4/4 + 1593*r**3/4 - 3183*r**2/4 + 1591*r/4.
-r*(r - 1591)*(r - 1)**2/4
Find w such that w**2/3 + 445*w/3 - 13244/3 = 0.
-473, 28
Factor -2*t**2 + 2172*t - 23650.
-2*(t - 1075)*(t - 11)
Factor -3*o**4/7 + 33*o**3/7 - 78*o**2/7 + 48*o/7.
-3*o*(o - 8)*(o - 2)*(o - 1)/7
Solve 2*t**3 + 66*t**2 - 4626*t - 4690 = 0 for t.
-67, -1, 35
Let -5*m**5 + 1470*m**4 - 2905*m**3 - 4420*m**2 + 11700*m - 5840 = 0. Calculate m.
-2, 1, 2, 292
Factor 5*j**3/4 - 10435*j**2/4 - 5*j/4 + 10435/4.
5*(j - 2087)*(j - 1)*(j + 1)/4
Determine y, given that -10*y**3 - 228298*y**2 + 45660*y = 0.
-22830, 0, 1/5
Let 2*q**2 + 242116*q - 1210630 = 0. Calculate q.
-121063, 5
What is k in 2*k**3 - 270*k**2 - 296*k + 3264 = 0?
-4, 3, 136
Let 2*g**3 + 1086*g**2 + 196512*g + 11849600 = 0. What is g?
-184, -175
Determine g so that 2*g**2/13 + 25252*g + 1036203194 = 0.
-82069
Factor -2222*z**2/7 + 2518*z/7 - 296/7.
-2*(z - 1)*(1111*z - 148)/7
Factor -i**5/10 + 917*i**4/5 - 449072*i**3/5 + 25788048*i**2/5.
-i**2*(i - 884)**2*(i - 66)/10
Find g such that 3*g**2/5 + 5151*g/5 - 178602/5 = 0.
-1751, 34
Solve -2*a**4/15 - 254*a**3/15 + 136838*a**2/5 + 18479558*a/3 + 91987024/15 = 0 for a.
-307, -1, 488
Determine c so that 99*c**5/10 - 951*c**4/5 - 188*c**3/5 + 7617*c**2/5 - 1951*c/2 + 798/5 = 0.
-3, 1/3, 28/11, 19
Factor 2*o**3/19 + 2*o**2/19 - 1354*o/19 + 1350/19.
2*(o - 25)*(o - 1)*(o + 27)/19
What is h in -147*h**2/5 - 805098*h/5 - 1102351683/5 = 0?
-19169/7
Factor -18506*w**2 - 2*w/3.
-2*w*(27759*w + 1)/3
Let i**2/5 - 661*i = 0. Calculate i.
0, 3305
Factor -3*t**4 + 114432*t**3 - 1091337978*t**2 + 2182332672*t - 1091109123.
-3*(t - 19071)**2*(t - 1)**2
Solve -5*g**4 + 4235*g**3 - 931585*g**2 + 14564425*g + 15500250 = 0.
-1, 18, 415
Suppose 3*z**2 - 525*z + 5412 = 0. What is z?
11, 164
Solve 4*o**2 + 732*o + 31808 = 0.
-112, -71
Factor 369*p**5 - 1101*p**4 + 1089*p**3 - 351*p**2 - 6*p.
3*p*(p - 1)**3*(123*p + 2)
Find n, given that 16*n**2/13 - 2*n/13 - 60/13 = 0.
-15/8, 2
Let -3*u**4 + 9555*u**3 - 57258*u**2 + 114468*u - 76296 = 0. What is u?
2, 3179
Factor 5*v**2 + 2423830*v + 293747593445.
5*(v + 242383)**2
Suppose -4*s**4 - 2448*s**3 = 0. What is s?
-612, 0
Factor -2*r**5 + 188*r**4 - 2384*r**3 + 11840*r**2 - 25856*r + 20480.
-2*(r - 80)*(r - 4)**3*(r - 2)
Determine f, given that -3*f**2 + 1017*f - 5010 = 0.
5, 334
Factor 5*q**2 - 3670*q + 7320.
5*(q - 732)*(q - 2)
Suppose 5*g**2 + 100435*g - 100440 = 0. What is g?
-20088, 1
Factor 4*w**2 + 110500*w + 110496.
4*(w + 1)*(w + 27624)
Determine v, given that 3*v**5/2 - 444*v**4 - 21*v**3/2 + 3117*v**2 - 2664*v = 0.
-3, 0, 1, 2, 296
Find v, given that -v**4 - 4265*v**3 + 12801*v**2 - 12803*v + 4268 = 0.
-4268, 1
Factor 2*o**3 - 11402*o**2 - 91330*o - 79926.
2*(o - 5709)*(o + 1)*(o + 7)
Factor m**4/3 - 6474*m**3 + 94284097*m**2/3 + 62875488*m + 94322944/3.
(m - 9712)**2*(m + 1)**2/3
Solve -5*t**4 + 6739490*t**3 - 2271036273005*t**2 = 0 for t.
0, 673949
Solve 25*j**5 - 37370*j**4 + 141758*j**3 - 168532*j**2 + 73065*j - 8946 = 0 for j.
1/5, 3/5, 1, 2, 1491
Suppose 2*t**5/3 - 22*t**4/3 + 80*t**3/3 - 88*t**2/3 - 64*t/3 + 128/3 = 0. What is t?
-1, 2, 4
Factor 605*i**2/4 - 796510*i + 1048641620.
5*(11*i - 28964)**2/4
Solve 70*n**4 + 2045*n**3 + 16115*n**2 + 17080*n + 2940 = 0.
-14, -1, -3/14
Factor -3*y**3 - 11931*y**2 + 71667*y - 107541.
-3*(y - 3)**2*(y + 3983)
Let 4*s**2 - 138244*s - 276504 = 0. What is s?
-2, 34563
Factor r**2/3 - 416*r/3 + 9460.
(r - 330)*(r - 86)/3
Factor 6*w**3 + 1124920*w**2 + 52727250238*w + 35151000196.
2*(w + 93743)**2*(3*w + 2)
Determine i so that -i**5 + 132*i**4 + 272*i**3 - 528*i**2 - 1072*i = 0.
-2, 0, 2, 134
Solve b**4 + 148*b**3 - 49410*b**2 + 3467972*b - 75130711 = 0 for b.
-331, 61
Find m such that m**5/5 - 129*m**4/5 + 4349*m**3/5 - 12159*m**2/5 + 7938*m/5 = 0.
0, 1, 2, 63
Let 2*h**3/17 + 980556*h**2/17 - 980558*h/17 = 0. Calculate h.
-490279, 0, 1
Find l such that 21*l**5 + 5664*l**4/5 - 213159*l**3/5 - 7801098*l**2/5 + 199829292*l/5 - 11393304/5 = 0.
-53, 2/35, 26
Suppose -3*p**5 + 369*p**4 - 2832*p**3 + 8376*p**2 - 11088*p + 5520 = 0. What is p?
2, 115
Let -v**3/3 - 907*v**2/3 - 904*v = 0. What is v?
-904, -3, 0
Find n such that 2*n**2/11 - 746276*n/11 + 69615983522/11 = 0.
186569
Factor -2*j**3 - 974070*j**2 - 118602032646*j - 118601058578.
-2*(j + 1)*(j + 243517)**2
Find o, given that -3*o**4 + 63*o**3 - 84*o**2 - 2628*o - 4368 = 0.
-4, -2, 13, 14
Suppose o**3/2 - 28*o**2 + 559*o/2 = 0. What is o?
0, 13, 43
Factor y**4/10 + 5527*y**3/10 - 15505*y**2/2 + 271509*y/10.
y*(y - 7)**2*(y + 5541)/10
Factor -2*h**2 - 7058*h.
-2*h*(h + 3529)
Let -4*t**3 - 164*t**2 - 1680*t = 0. Calculate t.
-21, -20, 0
What is u in -2*u**5 - 15319*u**4 - 38282*u**3 + 22971*u**2 = 0?
-7657, -3, 0, 1/2
Factor -3*z**3 - 74196*z**2 + 148401*z - 74202.
-3*(z - 1)**2*(z + 24734)
Factor -4*h**2/5 + 3852*h/5 - 336008/5.
-4*(h - 866)*(h - 97)/5
Find b, given that b**2/5 - 3866*b/5 + 34713/5 = 0.
9, 3857
Let -c**4/3 + 19*c**3 - 312*c**2 + 4352*c/3 = 0. What is c?
0, 8, 17, 32
Factor -m**3/2 + 3*m**2 + 360*m - 1456.
-(m - 28)*(m - 4)*(m + 26)/2
Factor -s**4/6 + 134*s**3/3 + 1651*s**2/6 - 959*s/3.
-s*(s - 274)*(s - 1)*(s + 7)/6
Factor o**3/2 - 182*o**2 + 37157*o/2 - 580861.
(o - 218)*(o - 73)**2/2
Suppose s**3/4 - 891439*s**2/4 + 49666356740*s + 49666579600 = 0. What is s?
-1, 445720
Factor 3*v**3 - 10194*v**2 - 308433*v - 298236.
3*(v - 3428)*(v + 1)*(v + 29)
Suppose 4*p**3/7 - 76*p**2 + 17680*p/7 - 4752 = 0. Calculate p.
2, 54, 77
Factor 4*y**4/5 + 21916*y**3/5 - 43848*y**2/5.
4*y**2*(y - 2)*(y + 5481)/5
Factor -15*i**3 - 399*i**2 - 1242*i.
-3*i*(i + 23)*(5*i + 18)
Find u, given that -2*u**2/17 - 42588*u/17 - 226717218/17 = 0.
-10647
Factor 5*r**2/3 + 105*r + 3250/3.
5*(r + 13)*(r + 50)/3
Factor -x**3/4 - 5583*x**2/2 + 11169*x - 11170.
-(x - 2)**2*(x + 11170)/4
Factor -2*v**2/13 + 158980*v/13 + 317968/13.
-2*(v - 79492)*(v + 2)/13
Solve -5*t**4 - 200*t**3 + 12445*t**2 - 53100*t - 157500 = 0 for t.
-75, -2, 7, 30
Find t, given that -t**4/3 - 13760*t**3 - 141934378*t**2 + 4261788640*t/3 - 1278648075 = 0.
-20645, 1, 9
Factor -4*l**2 - 188*l + 27032.
-4*(l - 62)*(l + 109)
Factor -2*b**2/9 + 22430*b/3 - 134572/9.
-2*(b - 33643)*(b - 2)/9
Factor 3*o**3 + 279*o**2 - 8712*o + 16284.
3*(o - 23)*(o - 2)*(o + 118)
Factor -2*t**2/5 + 45462*t/5 - 636076/5.
-2*(t - 22717)*(t - 14)/5
Determine i so that -i**4/3 - 569*i**3/3 + 1714*i**2/3 - 1144*i/3 = 0.
-572, 0, 1, 2
Find l, given that l**2 + 18204*l + 82846404 = 0.
-9102
Suppose 2*a**5/13 + 30*a**4/13 + 36*a**3/13 - 432*a**2/13 = 0. Calculate a.
-12, -6, 0, 3
Find x such that 21*x**4/4 + 1038*x**3 - 50013*x**2/4 - 25041*x + 8151 = 0.
-209, -2, 2/7, 13
Suppose f**5/3 + 74*f**4/3 + 209*f**3/3 - 284*f**2/3 = 0. Calculate f.
-71, -4, 0, 1
Solve -2*p**2/5 - 938128*p/5 - 110010518048/5 = 0.
-234532
Determine g so that -4*g**3/5 - 372*g**2/5 + 10536*g/5 + 9568 = 0.
-115, -4, 26
Determine a so that -2*a**5/15 - 52*a**4/5 - 146*a**3/5 + 916*a**2/15 + 80*a = 0.
-75, -4, -1, 0, 2
Factor 26*p**3 + 12156*p**2 + 1418040*p - 657072.
2*(p + 234)**2*(13*p - 6)
Find s, given that 2*s**3/9 - 6534*s**2 = 0.
0, 29403
Suppose x**5 + 49*x**4 + 194*x**3 - 12376*x**2 - 37632*x = 0. Calculate x.
-32, -28, -3, 0, 14
Factor 3*n**2 - 33468*n + 93342252.
3*(n - 5578)**2
Factor 5*c**3/4 - 400175*c**2/2 - 1600715*c/4 - 200090.
5*(c - 160072)*(c + 1)**2/4
Solve 4* | {
"pile_set_name": "DM Mathematics"
} |
- 2). Suppose q = x*o - 92, -26 - 25 = -3*o + 2*q. Does 12 divide o?
False
Suppose -208 = -2*y + 136. Suppose -385*p - 468 = -381*p. Let x = p + y. Is x a multiple of 16?
False
Let f = 50 + -86. Let r be (9 - 12) + (1 - f). Let x = 37 + r. Is x a multiple of 20?
False
Suppose -3*a - 8 = -11*h + 6*h, 3*a + 2*h = -1. Let n be (a/(-2))/((-2)/(-12)). Suppose -101 = -3*c + 7*u - 2*u, -n*c + 121 = -u. Is 14 a factor of c?
True
Let s be 1 + 6 + (-4)/1. Let y be (-18)/15*(-5)/s. Suppose 2*g - 116 = -y. Is g a multiple of 11?
False
Let y be (-4)/(-4) - (-3 - -4). Let n be (0 + 0)/3 + -1. Is 2 a factor of y/n - (-4)/1?
True
Let s be (4/6)/((-4)/(-12)). Let o be (6/4)/(s/4). Suppose o*a - 52 = -2*h, 24 + 8 = 2*a + 4*h. Does 9 divide a?
True
Is -34 + 34 - -16*22 a multiple of 11?
True
Let o(h) = -2*h + 5. Let y be o(-5). Suppose 5*c = -0 - y, -4*j + 687 = 3*c. Suppose 3*z - j = 45. Is 17 a factor of z?
False
Let f(a) = 55*a**2 - 90*a + 475. Is f(5) a multiple of 7?
True
Let h be 1992/(-20)*((-2 - 0) + -3). Suppose 5*n = -2*a + a + h, 0 = -4*a + 12. Does 11 divide n?
True
Suppose -4*c = c + m - 20, -19 = -3*c - 2*m. Suppose -4*v - c*v = -196. Is 7 a factor of v?
True
Suppose -10*z + 961 = 21. Is z a multiple of 5?
False
Let x(b) = -3*b**3 - 2*b**2 + 5*b + 1528. Does 8 divide x(0)?
True
Let i be ((-4 - -9)*(-2)/(-5))/2. Let n(v) = 80*v**3 - 2*v**2 + v. Is n(i) a multiple of 38?
False
Let w = -822 + 1292. Does 49 divide w?
False
Suppose 5*o - 32 = -4*r + o, r - 2*o + 4 = 0. Is 8 a factor of -8*(-30)/r*24/36?
True
Let o(g) = 4*g**2 - 21*g - 21. Is o(7) a multiple of 2?
True
Let m(g) = -g**2 + 3*g + 1. Let w be ((-20)/12)/(1/(-15)). Let x = 27 - w. Is m(x) a multiple of 2?
False
Let d = -1132 - -2407. Is d a multiple of 51?
True
Suppose 10*k + 0*k - 60 = 0. Suppose 3*v = 9, -k*v + v - 81 = -m. Is 12 a factor of m?
True
Suppose -n + 4*n - 25 = f, 2*n - 10 = -f. Let j(g) = -g**3 + 9*g**2 - 12*g - 4. Is 5 a factor of j(n)?
True
Let h(z) = 30*z**2 + 27*z + 4. Is h(-3) a multiple of 12?
False
Let n be 5 + 6/14 - (-9)/(-21). Let j be (-14)/(-8) - 1/(-4). Suppose -j*z - 72 = -n*z. Is 4 a factor of z?
True
Suppose 4*j = -2*x + 10, -4*j - 5 = -2*x - x. Suppose 0 = -x*p - 12, 7*d + 2*p = 2*d - 683. Is 1*(d/(-3) + 3) a multiple of 16?
True
Let x = 1904 - 1185. Is x a multiple of 27?
False
Suppose -3*q = -y + 5*y - 9, 3*y - 4 = -5*q. Let g(s) = s + 3. Let u be g(y). Suppose -11*j + u*j + 160 = 0. Is j a multiple of 12?
False
Let b(p) = 6*p**2 - 8*p - 28. Does 14 divide b(7)?
True
Let w(q) be the third derivative of q**6/120 - 7*q**5/20 - 5*q**4/6 + 7*q**3/2 - 7*q**2. Does 6 divide w(22)?
False
Suppose 200 = -2*c + q, 0 = c + c - 4*q + 200. Let w = c - -200. Is 15 a factor of w?
False
Suppose -a - 4*p = -344, -4*p - 304 = 29*a - 30*a. Is a a multiple of 33?
False
Let p(k) = k**2 - 5*k + 6. Let o be p(4). Suppose -5*c = 2*s - 7, -o*s - s + 4*c = 24. Does 11 divide ((-22)/s)/(3/30)?
True
Let o(z) be the third derivative of z**4/24 - 4*z**3/3 - 4*z**2. Let i be o(0). Is -2 - -4 - i*11 a multiple of 25?
False
Is 552*1/((-9)/(-18)) a multiple of 23?
True
Suppose 0 = 2*y + 2*h - 1952, -y - 4*h + 583 = -387. Does 28 divide y?
False
Suppose -22680 = -2*t - 22*t. Is 63 a factor of t?
True
Let z be -2 + (4 - (3 + -2)). Let h be 12/4 - z - 11. Does 16 divide h/2*140/(-30)?
False
Let i(v) = v - 2. Let c be i(-2). Does 28 divide 9/(18/c)*-56?
True
Suppose -2*u + 80 = -4*w, -4*w = -u + 8 + 24. Let k = u - 0. Is k a multiple of 33?
False
Let u be -2*(-1 + 3/6). Suppose -2*o + u = -5. Let k(g) = g**3 + 5*g**2 - 4*g. Does 18 divide k(o)?
False
Suppose 686 = 10*y - 1534. Does 14 divide y?
False
Let x = -1 + 1. Suppose 0 = 3*g + 2*g - 5, 0 = -4*y - 4*g + 12. Suppose 4*h + y*u - 262 = x, -u + 5*u - 320 = -5*h. Does 11 divide h?
False
Let q = 509 - 152. Let a be -2*1*q/6. Let w = 170 + a. Does 18 divide w?
False
Let n(x) = 2*x**3 + 2*x**2 + 2*x + 3. Let a be n(-3). Let y = 599 + -533. Let r = y + a. Is r a multiple of 10?
False
Suppose -20 + 2 = 3*s. Let h(b) = -19*b + 3. Is h(s) a multiple of 39?
True
Suppose -10*q = -32*q + 10230. Is 15 a factor of q?
True
Let o(r) be the third derivative of r**6/120 + 13*r**5/60 - r**4/24 - 13*r**3/6 + 5*r**2. Let h be o(-13). Suppose h = -d - 0*d + 63. Is 21 a factor of d?
True
Let u(q) = q**3 + 6*q**2 - 4*q + 6. Let k be 2/4 + 10/(-4). Let b be -6 - -2 - (k - -3). Is 13 a factor of u(b)?
False
Suppose -5*z = 2*f - z - 12, -4*f + 4*z - 12 = 0. Suppose f = -10*m + 3*m + 763. Suppose 40 - m = -y. Does 23 divide y?
True
Let h(d) = -3*d - 16. Let c be h(-11). Let u(k) = 28 + k**2 - c - 5*k + 0*k**2. Does 17 divide u(6)?
True
Suppose -t + 6*t = -15. Let r be (-2 - t)/(1/3). Suppose 15 = -r*v, 4*v + 5 = 4*k - 115. Does 8 divide k?
False
Let d(w) = 22*w**2 + 20*w + 9. Is 27 a factor of d(9)?
True
Suppose -9 = 4*u + 5*m, 0 = -2*u + m + 4*m - 27. Is ((-186)/(-9))/((-4)/u) a multiple of 21?
False
Let i(n) = 4*n**3 + n**2 + n - 1. Let m be i(1). Let g = m - -63. Let c = -18 + g. Does 16 divide c?
False
Let t = 10 + -18. Does 30 divide 22/t + 1/(-4) - -76?
False
Let o be (-3 - -4)*-1*27. Let s be 6/o + (-21)/27. Is s + 0 + -2 - -30 a multiple of 9?
True
Is 7 a factor of 2 + 0 + (48 - -181)?
True
Let b = 69 + -38. Suppose b*q - 26*q - 160 = 0. Does 6 divide q?
False
Suppose 5*x + 2*o + 17 = -o, 2*o + 13 = -5*x. Let g be x/(-2) + 44/8. Suppose 0 = -2*b + g*b - 28. Is 7 a factor of b?
True
Let s(l) = -391*l + 391*l - 4 + 11*l**2. Is s(3) a multiple of 19?
True
Let r = 4567 - 2747. Is r a multiple of 26?
True
Let v be (-11)/(-5) + (-32)/(-40). Suppose 5*m = v*m + 66. Does 26 divide m?
False
Let q(y) = 31 + 20*y**3 + 0*y**2 + y**2 - 33 + 2*y. Is 35 a factor of q(2)?
False
Let c = 13 + -29. Let s be 9/12 + 636/c. Let l = s + 59. Is l a multiple of 14?
False
Let s = 21 - 15. Let l be 26/s + 4/(-12). Suppose -y - y = 6, j + l = -5*y. Is 2 a factor of j?
False
Does 20 divide -772*((-78)/36)/13*3?
False
Suppose -3*s + 1 + 2 = d, -2*d - 5*s + 5 = 0. Suppose 0 = -d*k - 4*k. Suppose -5*c + 35 + 50 = k. Does 17 divide c?
True
Suppose 4 = 4*r + 28. Let l(n) = -2*n - 9. Let t be l(r). Suppose -4*g + 59 = 3*h - 9*g, -3*g = -t*h + 51. Is h a multiple of 11?
False
Let n be (-3 + -1 + 8)/2. Does 8 divide 30 - ((-25)/5 + n)?
False
Suppose -v = 4*o - 108, -2*v - 5*o = 2*v - 443. Does 16 divide v?
True
Let n(x) = -x**2 + 7*x + 4. Let a be n(7). Suppose 0 = -0*p - a*p. Suppose p = -2*b + 101 - 29. Does 12 divide b?
True
Is (2/10)/((-10)/(-18950)) a multiple of 18?
False
Suppose r - 7440 = -11*r. Does 20 divide r?
True
Let t be ((-6)/5)/(3/(-10)). Suppose -m = -t*m + 303. Suppose 4*y - m - 79 = 0. Is y a multiple of 9?
True
Let c be -2 + 1 + 0 - -26. Suppose 2*h = 7*h + c. Is (2 + -7)*3/h even?
False
Let a(w) = -4*w**3 + 5*w**2 - 23*w - 13. Let q(b) = b**3 - b**2 + 6*b + 3. Let z(k) = -6*a(k) - 22*q(k). Does 23 divide z(5)?
True
Suppose -5*u + 1938 = -1702. Is 27 a factor of u?
False
Suppose 3*b = -11 - 1. Let p(c) = 2*c + 5. Let m be p(b). Is (m - -24 - -2) + -3 a multiple of 11?
False
Suppose -29*h + 6131 = -162. Does 5 divide h?
False
Suppose -7265 = -40*i - 1905. Is i even?
True
Suppose -3*a + 5010 = -45*i + 43*i, -5*a - 5*i = -8350. Is 74 a factor of a?
False
Let x(m) = 2 - 8 - 7 + 8*m + 14*m. Let f be x(9). Suppose 5*d - f = -5*w, -3*d - d = -4*w + 172. Is w a multiple of 20?
True
Let g = -11 + -6. Let p = 16 + g. Is 23 a factor of 0 + 3 + p - -44?
True
Does 10 divide -2 + -4 + (-13)/26*-862?
False
Suppose 0 = 5*c - 5, -4*c = -0*k + k + 88. Let l = 226 + k. Does 32 divide l?
False
Let a(n) = 8*n + 9. Is a(16) a multiple of 15?
False
Let g(c) = c**3 - 11*c**2 + 11*c + 13. Let x(p) = p**3 - 10*p**2 + 12*p - 11. Let l be x(9). Let a = l + -6. Is 13 a factor of g(a)?
False
Let h(d) = -d**3 + 3*d**2 + 2*d - 2. Let s = -15 + 13. Is h(s) a multiple of 4?
False
Suppose -2*n + 264 = 4*h - 470, 349 = 2*h - 5*n. Does 24 divide h?
False
Let w = -4 + -12. Let t = 57 + w. Is 7 a factor of t?
False
Let o be 91 + 3/(2 + -5). Suppose 6 = 3*k - o. Suppose 2*s = k + 30. Is s a multiple of 31?
True
Suppose 6*c - 13 - 11 = 0. Suppose -2*f + 232 = c*b, -4*f + 5*b = 8*b - 444. Does 18 divide f?
True
Is 4 - (309/(-6))/((-7)/(-14)) a multiple of 15?
False
Suppose -3*p + 31 = -5*s, 2*p + 5*s - 3*s = -6. Is | {
"pile_set_name": "DM Mathematics"
} |
6 + -6.4. Which is the third smallest value? (a) q (b) n (c) g
c
Suppose 45 = 2*d - v, -4*d - 4*v + 78 = -30. Let s = 13 - d. Let h = s - -7. Which is the third smallest value? (a) -0.4 (b) 0.2 (c) h
b
Let o = 0.015 - 0.015. Which is the fourth smallest value? (a) -3/7 (b) -0.4 (c) -2 (d) o
d
Suppose z - 3 = -3*n + 1, 5*n = -z + 8. Let p = -0.03 - 0.47. Let i = p + 0.4. Which is the second biggest value? (a) z (b) 3/2 (c) i
c
Let t = 24.6 + -18. Let i = t + -7. What is the smallest value in 0.5, i, 0.1?
i
Let x = -41 - -25. Let i be (-6)/9*(-18)/x. Let v = 4 - 6. What is the second smallest value in v, -0.4, i?
i
Let o = 529/9 + -59. Which is the second smallest value? (a) o (b) 5 (c) -3
a
Let m = 8 - 13. What is the second smallest value in 0.4, m, 1?
0.4
Let q = 9.099 - 0.099. Which is the smallest value? (a) -5 (b) -1/2 (c) q
a
Let q = -26 - -27. Which is the second smallest value? (a) -4 (b) -1/3 (c) q
b
Let p = -1.3 + 0.3. Let f = -12 - -17. Let y = 3 + -5. Which is the biggest value? (a) p (b) f (c) y
b
Let m = -1426/5 - -287. Let h = -13/5 + m. Which is the second smallest value? (a) -2/9 (b) 1/4 (c) h
a
Suppose 5 = -2*j + 11. Let q be ((-4)/(-12))/((-7)/j). Which is the second biggest value? (a) q (b) -1 (c) -4
b
Let t be (32/(-48))/(20/(-18)). What is the third smallest value in -2, t, 0.3, -0.3?
0.3
Let o be (-50)/18 + (-5 - 32/(-4)). Which is the biggest value? (a) -2/5 (b) 1 (c) o
b
Let x be 1 + ((-87)/27 - -2). What is the third biggest value in 0.3, x, 0.5?
x
Let c be ((-3)/(-124))/((-50)/120). Let s = -45481/465 + c. Let p = -98 - s. What is the third biggest value in 3/4, p, -1/4?
-1/4
Let v be (-10)/(-3*(-2)/(-3)). Let i = -182 - -179.04. Let q = 0.04 - i. What is the biggest value in q, 0.1, v?
v
Let j be (-1 - 63/(-65))*5. Let p = 0.62 + -1.12. Which is the second smallest value? (a) 0 (b) p (c) j
c
Let c be (1 - 6/3)*9. Let m be (1/(-2))/(c/(-6)). What is the smallest value in 0, -3, m?
-3
Let j = -7 + 11. Suppose 4*w = -8, -3*w = j*x - 0*x - 2. Let i = 43/190 - 1/38. Which is the second biggest value? (a) x (b) i (c) 2/5
c
Let t be (2/(-8))/(3/4). Let f = 0.534 + -0.034. Let a = -0.8 - -5.8. What is the biggest value in a, f, t?
a
Let v = -0.018 + -0.182. What is the third smallest value in v, 1, 0.09?
1
Let i = -2.92 + -0.08. Suppose 2*p + 2*w = w - 19, 0 = -2*w - 2. Let c be (-5)/p*4/10. What is the third biggest value in c, -2/5, i?
i
Let p = -5 + 8. Let f = -2 + -2. Let m = 9 + f. What is the smallest value in m, p, -2?
-2
Let l be ((-4)/4)/(1/(-5)). Which is the second biggest value? (a) l (b) -0.2 (c) 0.1
c
Let r be ((-3)/30)/((-4)/10). What is the second biggest value in 0, r, 1/2?
r
Let f = 49 + -45. Which is the second smallest value? (a) 1/4 (b) -1 (c) f
a
Let y = 0.3 - 0.2. Let r = -0.4 + y. Let z(g) = -g**3 + 3*g**2 + 2. Let a be z(3). What is the third biggest value in r, a, -0.5?
-0.5
Let j = -1.022 - -0.022. What is the smallest value in 3, j, 4, 1/3?
j
Let k = 0.4 - 0. Let x = 0.6 - k. What is the biggest value in 1, 3, x?
3
Let w = -1/916 + 2207/343500. Let f = 49597866397/4125 - 12023725. Let k = w - f. Which is the third smallest value? (a) -2/19 (b) 3 (c) k
b
Let i = 51 + -51. Which is the fourth smallest value? (a) 5 (b) i (c) 0.5 (d) -1/6
a
Suppose 3*v + 12 = 0, -4*d = 6*v - 2*v - 28. Which is the smallest value? (a) 1/4 (b) 0.1 (c) d
b
Let l = 23 + -22. What is the second biggest value in 4, 0.4, l?
l
Suppose 3*a + r + 1 = -10, -4*r = 5*a + 16. What is the smallest value in a, -1, -12?
-12
Let r = -0.03 - -3.03. Which is the second smallest value? (a) 1/4 (b) r (c) 1
c
Let b = -48.5 + 49. Let f = -113/78 + 3/26. Let t(j) = j**2 - 6*j + 4. Let q be t(4). What is the biggest value in q, f, b?
b
Let b = -1.05 + 0.05. What is the third smallest value in b, 0.2, 4?
4
Let g = 0.16 - -5.84. Let i = g - 6.4. Let r = -73/4 - -19. What is the biggest value in r, i, -1/4?
r
Let z = 3.5 - 2.4. Let t = -0.03 + 0.83. Let y = z - t. What is the smallest value in 2, 0.2, y?
0.2
Let k = -0.11 + -0.89. Let p = 2.3 + -2. What is the third biggest value in -0.4, k, p?
k
Let v = -7.1 - -7. Which is the smallest value? (a) 5 (b) -1/4 (c) v
b
Let v(m) = m - 10 - 6 + 3 + 2. Let y be v(8). What is the second smallest value in y, -0.5, 0.2?
-0.5
Let v(l) = 2*l**2 + 1. Let t be v(1). Let w = 101 + -302/3. Which is the third smallest value? (a) t (b) -5 (c) w
a
Let i(h) = -2*h + 9 - 2*h + 5*h + 3. Let g be i(-9). Suppose -g - 17 = 4*p. Which is the biggest value? (a) -2/3 (b) -3/7 (c) p
b
Let d be (-10)/(-3)*(-42)/(-35). Suppose 0 = n - d*n + 3. Let l = -2 - -7. Which is the second smallest value? (a) l (b) 2 (c) n
b
Let s = -2.4 + -2.6. Which is the second biggest value? (a) 1/6 (b) s (c) 2
a
Let j be ((-24)/(-14))/(-2) - -1. Let h = -87 - -91. Let w(f) = f**3 + 4*f**2 - 5*f + 2. Let x be w(-5). Which is the second biggest value? (a) j (b) h (c) x
c
Let c = 0.2 + -0.7. Let a(f) = f**3 + 6*f**2 - f - 4. Let k be a(-6). Let z be ((-2)/(-6) - k) + 3. What is the second biggest value in z, c, 2/7?
2/7
Let s = -311/6 - -52. Let m = -1017 + 3050/3. Let p be (0 + (-4)/3)*3. Which is the second biggest value? (a) p (b) s (c) m
c
Let r(f) = 23*f**2 + 4*f - 8. Let m be r(-6). Let x = m + -2321/3. Let t = x + -22. Which is the second biggest value? (a) -1/4 (b) t (c) 0.1
c
Let v = 0.38 + 4.72. Let r = v + -1.1. What is the smallest value in 0.3, -0.2, r?
-0.2
Let x be 5/2 + 9/6. Suppose -5*k + 3*k + x = 0. Let w = k + -7. What is the third smallest value in -2/3, -3, w?
-2/3
Let m = 180.69 - 29.99. Let o = m + -144. Let b = -7 + o. What is the smallest value in b, -0.5, -2/9?
-0.5
Let t be 6/(-20) - (-2)/(-4). Suppose c + 4 = -2*p - 10, -38 = 2*p - 5*c. Let z = p - -5. What is the third biggest value in t, -1, z?
z
Let w = 5.08 + -0.08. Let y = 3 - w. Let n = y - -2.3. Which is the third biggest value? (a) n (b) -4 (c) 3/5
b
Let y = 0.04 - -4.96. What is the smallest value in -0.4, 4, y?
-0.4
Let j = -77 - -233/3. What is the third smallest value in -1, 0.2, j?
j
Suppose -2*c - 1 = -3. Let n be 4/(-6) + (-5)/(-12). What is the smallest value in 5/4, c, n?
n
Let o = -6 + 5. Let m = -1 - o. Let l = m - -2. Which is the second biggest value? (a) 0.2 (b) -4 (c) l
a
Let a = 28.514 + 0.386. Let w = a - 29. Let f(t) = -t + 6. Let j be f(5). What is the second biggest value in -1/5, j, w?
w
Let w = 177189/5 + -35301. Let s = w - 136. Let l = 2.5 - 3. Which is the second smallest value? (a) 0 (b) s (c) l
a
Suppose 0 = -14*m + 11*m - 30. Let b be (-4)/10 - 54/m. What is the second biggest value in 0.5, b, 1/4?
0.5
Let v = -322 + 323.81. Let m = v - -0.19. Which is the smallest value? (a) m (b) 4 (c) -1
c
Let g = 166 - 1828/11. Let q(j) = -j**3 + j**2 + 86. Let f be q(0). Let h = f + -256/3. Which is the second smallest value? (a) 0.4 (b) g (c) h
a
Let p = -6 + 9. What is the smallest value in 5, 0.2, p?
0.2
Let s(u) = u + 2. Let z be s(-1). Let m(x) = 339*x. Let i be m(z). Let g = 4409/13 - i. Which is the second smallest value? (a) -0.5 (b) g (c) 0.3
b
Let l = 769 + -29995/39. Let o be 1 + (-374)/(-156) + -1. Let n = l - o. Which is the third smallest value? (a) -0.1 (b) -3/5 (c) n
a
Let j = -4 - -4.4. Let o = -28 + 80/3. Which is the biggest value? (a) 3 (b) o (c) j
a
Let s = -8 + -5. Let q = s - -8. Which is the second biggest value? (a) q (b) -1 (c) 2/9
b
Let t be (-2)/(-24)*26 - 2. Let z = t + 4/3. Which is the third smallest value? (a) z (b) -0.5 (c) 1/4
a
Let s = -1.7 - -1.7. Let f = s - 2. Let i = -0.9 + -0.1. Which is the third smallest value? (a) i (b) 0 (c) f
b
Let x be 5/(125/40)*(-10)/(-4). What is the second smallest value in 14, x, 1?
x
Let a = 1.9 + -1.2. Let h = 1.1 - 1.4. Let w = h - a. What is the biggest value in -3, w, 0.2?
0.2
Let l = 1 + -4. Let c = 3.18 + 0.02. Let m = c + l. What is the smallest value in 2/9, 5, m?
m
Let s = 37.9 + -38. Which is the third smallest value? (a) 0.4 (b) s (c) -1
a
Let j = 3 + -5. Let k be 4 - 1 - (-187)/(-77). What is the smallest value in k, -0.4, j?
j
Let a = 67 - 67.4. What is the third biggest value in -4, 5, a, -2/9?
a
Let g = -0.23 - -6.23. Which is the third bigge | {
"pile_set_name": "DM Mathematics"
} |
is fifty-four fifths of a litre in millilitres?
10800
How many minutes are there in 27/5 of a day?
7776
What is three fifths of a centimeter in micrometers?
6000
How many millilitres are there in 2109.57l?
2109570
What is 11/2 of a decade in years?
55
Convert 8240.365m to kilometers.
8.240365
Convert 0.9819135ms to minutes.
0.000016365225
Convert 4710.355 years to centuries.
47.10355
What is 5.465273km in centimeters?
546527.3
Convert 855872.7 months to decades.
7132.2725
How many micrometers are there in seventeen halves of a centimeter?
85000
Convert 90.84231l to millilitres.
90842.31
How many litres are there in 56639.87 millilitres?
56.63987
Convert 75.97149 decades to centuries.
7.597149
What is thirteen twelths of a millennium in months?
13000
Convert 5.076961 kilograms to milligrams.
5076961
What is fifty-one fifths of a century in decades?
102
What is 6356.807g in tonnes?
0.006356807
What is 50.61024 meters in micrometers?
50610240
What is 5/6 of a hour in minutes?
50
What is 3/8 of a micrometer in nanometers?
375
Convert 224.51358 months to years.
18.709465
Convert 2197.453 centuries to millennia.
219.7453
Convert 45.036327 hours to weeks.
0.268073375
How many millilitres are there in three eighths of a litre?
375
How many milligrams are there in 23199.31ug?
23.19931
How many months are there in two fifteenths of a millennium?
1600
What is 186.4842 days in hours?
4475.6208
What is 6/5 of a century in years?
120
Convert 4473.926 tonnes to milligrams.
4473926000000
How many millimeters are there in 6/25 of a meter?
240
How many millilitres are there in 0.5805473 litres?
580.5473
What is 21/2 of a century in months?
12600
How many millilitres are there in sixty-seven fifths of a litre?
13400
Convert 421425.3 millimeters to micrometers.
421425300
How many millilitres are there in thirteen eighths of a litre?
1625
What is 0.9899248ml in litres?
0.0009899248
What is one fifth of a millennium in months?
2400
What is 13/4 of a kilogram in grams?
3250
What is twenty-nine thirds of a day in minutes?
13920
Convert 639431.8t to kilograms.
639431800
How many millilitres are there in three eighths of a litre?
375
What is one twentieth of a kilogram in milligrams?
50000
What is sixty-one halves of a microsecond in nanoseconds?
30500
What is twenty-seven fifths of a litre in millilitres?
5400
How many nanograms are there in 11/2 of a microgram?
5500
How many minutes are there in 45/4 of a hour?
675
What is one fifth of a meter in millimeters?
200
What is twenty-five halves of a litre in millilitres?
12500
What is 6/5 of a decade in months?
144
How many nanometers are there in 50.7414cm?
507414000
What is three fifths of a kilometer in centimeters?
60000
How many kilograms are there in 1.859118mg?
0.000001859118
Convert 0.1711974 kilometers to centimeters.
17119.74
Convert 7.7689ml to litres.
0.0077689
What is 696.551mg in kilograms?
0.000696551
What is 0.5458538 nanograms in grams?
0.0000000005458538
Convert 920.5814 millimeters to meters.
0.9205814
What is 6946.293 litres in millilitres?
6946293
What is 153.0241902 nanoseconds in weeks?
0.0000000000002530161875
What is 4/75 of a week in seconds?
32256
How many millennia are there in 6120.181 decades?
61.20181
How many meters are there in 13/4 of a kilometer?
3250
How many grams are there in 87.14358ug?
0.00008714358
How many milliseconds are there in four fifteenths of a minute?
16000
How many millilitres are there in 43/2 of a litre?
21500
What is 3/128 of a week in seconds?
14175
How many micrograms are there in fifty-three quarters of a milligram?
13250
How many litres are there in 4327.816ml?
4.327816
What is 84.6588 meters in micrometers?
84658800
What is 39601094.4ms in weeks?
0.065478
How many centimeters are there in 24.21581 kilometers?
2421581
How many minutes are there in nine sixteenths of a week?
5670
Convert 66.29558ng to micrograms.
0.06629558
What is 17/6 of a week in minutes?
28560
How many milligrams are there in five eighths of a gram?
625
Convert 1054.515km to centimeters.
105451500
What is 107.76267ms in hours?
0.000029934075
What is 83825.21km in nanometers?
83825210000000000
How many millilitres are there in seven halves of a litre?
3500
How many seconds are there in 3/40 of a day?
6480
How many microseconds are there in 0.6186577 hours?
2227167720
What is 3/8 of a centimeter in micrometers?
3750
How many nanoseconds are there in 993.7796s?
993779600000
How many days are there in 60480.15 hours?
2520.00625
How many centimeters are there in 1/5 of a meter?
20
How many litres are there in 0.8420077 millilitres?
0.0008420077
What is 11/4 of a day in hours?
66
What is nine tenths of a kilometer in meters?
900
What is 8/21 of a week in hours?
64
How many nanoseconds are there in seventeen halves of a microsecond?
8500
What is seventy-four fifths of a millisecond in microseconds?
14800
What is 5.692064 hours in minutes?
341.52384
Convert 66943.47l to millilitres.
66943470
What is fifty-two fifths of a milligram in micrograms?
10400
How many kilometers are there in 52912.97 millimeters?
0.05291297
What is 94405.8 hours in microseconds?
339860880000000
How many meters are there in 467.6875 nanometers?
0.0000004676875
What is seventeen quarters of a meter in millimeters?
4250
Convert 8454.4 litres to millilitres.
8454400
Convert 4699834.2ns to hours.
0.0000013055095
What is 900.399969us in weeks?
0.0000000014887565625
What is 0.164371 kilograms in micrograms?
164371000
What is 673.5675 years in millennia?
0.6735675
Convert 1023.95 centuries to decades.
10239.5
How many millilitres are there in 7/2 of a litre?
3500
How many months are there in 7/3 of a year?
28
What is 3/25 of a litre in millilitres?
120
Convert 0.8731874 centuries to decades.
8.731874
What is 1/4 of a hour in seconds?
900
What is 21/2 of a year in months?
126
How many seconds are there in five sixths of a hour?
3000
How many meters are there in 651.4946 millimeters?
0.6514946
Convert 11045.361 months to years.
920.44675
What is 483.8624 nanograms in grams?
0.0000004838624
Convert 99.42036um to millimeters.
0.09942036
What is 2/27 of a week in seconds?
44800
How many nanoseconds are there in 0.845124 microseconds?
845.124
Convert 748.0845 millimeters to meters.
0.7480845
How many litres are there in 9554.072ml?
9.554072
How many micrometers are there in 0.911709 kilometers?
911709000
How many years are there in seven halves of a century?
350
How many grams are there in 1/10 of a tonne?
100000
Convert 45.7192t to grams.
45719200
What is twenty-seven fifths of a century in months?
6480
What is 54941.71 kilograms in micrograms?
54941710000000
Convert 55.5844ml to litres.
0.0555844
How many minutes are there in 20403.36ns?
0.000000340056
What is 21/4 of a kilogram in grams?
5250
What is 35.86861 decades in years?
358.6861
How many hours are there in 89.440551 seconds?
0.0248445975
What is 75/2 of a year in months?
450
What is 873.2275 millennia in centuries?
8732.275
What is twenty-one halves of a microgram in nanograms?
10500
What is 8755.768g in milligrams?
8755768
What is fifteen quarters of a second in milliseconds?
3750
How many kilometers are there in 73853.67 nanometers?
0.00000007385367
What is 6/5 of a second in milliseconds?
1200
What is 98.10245 nanometers in millimeters?
0.00009810245
What is 5/24 of a century in months?
250
Convert 0.8233035ml to litres.
0.0008233035
How many months are there in 3/8 of a century?
450
What is 8.206862ml in litres?
0.008206862
What is 9471.709 millennia in months?
113660508
How many milliseconds are there in 0.2406648 days?
20793438.72
What is 6/5 of a litre in millilitres?
1200
How many nanoseconds are there in 70169.1 days?
6062610240000000000
Convert 62816.47 millilitres to litres.
62.81647
What is 6.085092mg in tonnes?
0.000000006085092
What is 32/5 of a millisecond in microseconds?
6400
What is 3/32 of a millennium in months?
1125
Convert 839461.9 centimeters to meters.
8394.619
What is 0.1202534 tonnes in milligrams?
120253400
How many seconds are there in one ninth of a week?
67200
Convert 7225.873 days to minutes.
10405257.12
What is 9145.935l in millilitres?
9145935
What is fifteen quarters of a second in milliseconds?
3750
How many millilitres are there in 18/5 of | {
"pile_set_name": "DM Mathematics"
} |
te o(-5).
9
Let k(d) = 13*d**2 + 2*d + 17. Let z(h) be the first derivative of 7*h**3/3 + h**2/2 + 8*h + 9. Let u(r) = -6*k(r) + 11*z(r). Determine u(0).
-14
Let k(i) = -5*i**3 - 3*i**2 + 4*i + 1. Let c(n) = -2*n**3 + n. Let t(j) = -3*c(j) + k(j). What is t(2)?
-1
Suppose 0 = 2*d + 3*b - 2 - 3, 3*b + 5 = -4*d. Let c = d + 7. Let i(p) = 1 + p**3 - 2*p**2 + c - 6*p + p. What is i(3)?
-3
Suppose -2*p = -6, 10 = -8*t + 9*t + 5*p. Let y(w) = 3*w**3 + 20*w**2 - 20*w - 8. Let a(i) = -i**3 - 7*i**2 + 7*i + 3. Let k(r) = 8*a(r) + 3*y(r). What is k(t)?
-5
Suppose -4*k + 3 = -3*k. Suppose 2*h + 12 = 3*c, 0*h = c - 3*h + k. Let q(b) = 2*b - c - 1 - b. What is q(5)?
-2
Let y be 9*2*(-14)/(-21). Let c(l) = 5 + y + l - 20. Calculate c(3).
0
Let m(b) = b**3 - 5*b**2 + 2. Let q be m(5). Suppose 3*x = -3, 3*x = -5*k + q*k + 3. Let l(r) = -r**3 - 3 - 2*r + 0*r + 4*r**k - 5*r**2. Calculate l(-2).
5
Let p(n) = 2*n**2 - 28*n + 2. Let d be p(14). Let l(y) = 3. Let g(k) = -k - 1. Let u(r) = 3*g(r) + 2*l(r). Determine u(d).
-3
Let s = -1 - -2. Let g(m) = -8*m - 7978 + 4*m + 7977 + 3*m + 19*m. Calculate g(s).
17
Let n = 34 + -31. Let s(i) = 3*i**2 - 59*i - i**3 - n - 2 + 66*i. Determine s(4).
7
Let a(n) = -5*n + 1. Suppose 4*p = -x - 13, -x = 2*p - 0*x + 9. Let o be -1*(-1 + 0)*(1 - p). What is a(o)?
-14
Let g(k) = 2 - 3 - 3 + 3*k. Let f(a) be the second derivative of -a**3/2 - a**2 + 29*a. Let v be f(-2). Give g(v).
8
Let n(s) be the first derivative of -s**6/24 + s**5/60 - s**4/24 - s**3/6 + 15*s**2/2 + 11. Let k(f) be the second derivative of n(f). What is k(-1)?
6
Let w = -10 + 13. Suppose 0*k - 26 = -w*k + 4*v, 4*k - 33 = 5*v. Let g(q) = -3*q + 3. Calculate g(k).
-3
Let f(v) = -1 + 1 + 3*v + 1 + 4*v. Calculate f(-1).
-6
Let u(x) be the first derivative of 14*x**3/3 + x**2/2 + 11. Let z be ((-5 - -6)/(-1 - -2))/(-1). Calculate u(z).
13
Let t(p) = -5*p**3 - 3*p**2 - 5. Let h(j) = -j**3 - j**2 - 1. Suppose -l = z - 6*z - 40, -z = 4*l + 29. Let f(b) = z*h(b) + 2*t(b). What is f(2)?
3
Suppose y - 16 = -5*b - y, 9 = -3*b + 5*y. Let g(a) = -2 + 9 + b*a - 3 - 3*a. Calculate g(0).
4
Let r(q) = -q**3 + 4*q**2 + 2*q - 5. Let m(t) = -t**2 + 1. Let j(z) = -z**3 - 17*z**2 + 15*z - 10. Let b(y) = j(y) - 2*m(y). Let x be b(-16). Determine r(x).
3
Let k = 18 - 20. Let h be 1/((-1 - k)/(-4)). Let g(y) = y**2 + 2*y - 2. What is g(h)?
6
Let i(o) = 5*o**2 - o. Let x be i(1). Let g be 12 + x + (-6)/2. Let j(a) = 0 + 11*a**3 - 2*a - 3*a**2 - g*a**3 - 2. Determine j(-2).
6
Let b(a) = a**2 - 8*a + 7. Let t be b(6). Let v be 4/(-18) - 290/(-90). Let w(x) = -x - 7 - 5*x + 5*x - v. Determine w(t).
-5
Let z(f) = 9*f - 9. Suppose -r + 66 - 62 = 0. Let s(b) be the second derivative of -2*b**3/3 + 5*b**2/2 - 2*b. Let j(h) = r*z(h) + 7*s(h). Calculate j(1).
7
Let o(s) = -s + 7. Let b(i) = 1. Let m(q) = -4*b(q) - o(q). Calculate m(0).
-11
Let k(y) = -y**3 + 6*y**2 - 5*y - 12. Suppose 12*d + 25 = 17*d. Calculate k(d).
-12
Let u(l) = -l**3 + 4*l**2 - 2*l + 8. Suppose 0 = -502*r + 511*r - 36. Determine u(r).
0
Let s(d) = d**3 - 8*d**2 - d + 11. Let v be s(8). Let w = 4 + v. Let q(x) = -x**2 + 9*x - 6. Determine q(w).
8
Suppose -4*h - 12 = -2*h. Let i be (-4)/24 + (-37)/h. Let v(j) be the third derivative of j**6/120 - 7*j**5/60 + j**4/12 + j**3 - 25*j**2 + 2*j. Calculate v(i).
-18
Let q = -31 - 4. Let j = q + 40. Let h(l) = 2*l**3 + l**3 + 2 - 4*l**3 + 5*l**2. Give h(j).
2
Let d = -1/1732 + 112/6495. Let q(x) be the third derivative of 1/12*x**4 + 0*x + 1/3*x**3 - d*x**5 + 0 - 4*x**2. Give q(4).
-6
Let m(q) be the first derivative of 10 + 5/2*q**2 - 1/4*q**4 + 5/3*q**3 + 0*q. Let r(s) = 3*s - 9. Let o be r(5). Calculate m(o).
-6
Let p(a) be the second derivative of 3*a**3/2 - a**2/2 + 34*a + 2. Calculate p(1).
8
Let w(h) = h**2 - 3*h - 2. Suppose -21*t = -7 + 49. Give w(t).
8
Let a be 3 + ((-27)/(-33) - (-8)/44). Suppose 5*x = x - a. Let b(z) = -3*z**2 + z + 1. Give b(x).
-3
Let j(n) = 2*n - 15*n + 13 + 10*n + n. Give j(10).
-7
Let l(z) = z**3 + z. Let j(y) be the third derivative of y**6/24 - y**5/60 + 11*y**4/24 + y**3/2 + 12*y**2. Let w(d) = -j(d) + 6*l(d). Determine w(-3).
-6
Let s(m) = -m**2 - 8*m + 6. Let k(v) = v**2 - 6*v. Let b be k(4). Give s(b).
6
Let g(i) = -2*i**2 + 57*i - 112*i + 27 - 21 + 48*i. What is g(-6)?
-24
Let p(w) = w + 4. Let i = 64 - 61. Suppose s - 2*h + 21 = -4*s, i*s = 2*h - 11. Give p(s).
-1
Let n(w) = w**2 + 2*w - 4. Let i(v) = -2*v - 2. Suppose -4*l + 18 = -5*d, -5*l + 0 = 2*d - 6. Let m be i(l). Calculate n(m).
20
Let i = -282 - -289. Let w(a) = -a - 6. Calculate w(i).
-13
Let f(z) = -6*z - 15. Let q be (-12)/(-21) - (-75)/(-21). Calculate f(q).
3
Let p(t) = -t**3 - 2*t**2 - 1. Suppose -4*i - 1 - 3 = 0. Suppose 0 = 2*u - 4 - 0. Let q be u*(-12)/(-8)*i. Determine p(q).
8
Let h(k) = -k - 4. Let d be h(-12). Let y be 26/d - (-27)/36. Let b(l) = 2 - 1 + l - 5 + y*l**2 - 3*l**2. What is b(-4)?
8
Let w(j) = 4*j - 32. Let d be w(8). Suppose 7*u + 4 + 52 = d. Let a(v) = -v**3 - 8*v**2 - 5. Calculate a(u).
-5
Let m(s) be the first derivative of s**3/3 + 7*s**2 - 16*s + 348. Give m(-14).
-16
Let p(n) = 2*n - 8. Let w be p(6). Suppose 2*s - 6*s = -w*h - 8, -5*s = 4*h + 44. Let v(t) = 5*t - t**3 + 88*t**2 - 2*t - 93*t**2. Give v(h).
18
Suppose 21 = 58*h - 55*h. Let o(r) = 2*r**3 + 10*r**2 - r - 9. Let t(b) = -3*b**3 - 11*b**2 + 2*b + 9. Let v(x) = 4*o(x) + 3*t(x). Calculate v(h).
5
Let d(x) be the first derivative of -x**4/4 - 7*x**3/3 + 10*x**2 - x - 392. Give d(-9).
-19
Let x(p) = -p**2 - 18*p + 4. Let o be x(-18). Let n(k) = -k**3 + 6*k**2 - 7*k - 5. Let v be n(o). Let r(l) = -l**2 + l + 1. Determine r(v).
-1
Let f(y) be the second derivative of -3*y**5/20 - y**4/6 - 200*y - 1. What is f(-2)?
16
Let g(t) = -t**2 - 7*t + 4. Suppose 4*m - 37 = -2*b + 11, -3*m + 6 = 0. Let n = b - 26. Give g(n).
10
Let l(i) = 0*i + 7*i**2 + i + 2*i + i**3 - 8 + 3*i. Let n = 151 - 157. Give l(n).
-8
Let g(m) = 14*m**2 - 17*m - 65. Let n(j) = -5*j**2 + 5*j + 22. Let k(c) = -6*g(c) - 17*n(c). Calculate k(-16).
0
Suppose -27 = 6*a - 93. Suppose -a*r - 6 = -13*r. Let d(s) = -7*s - 1. Calculate d(r).
-22
Let k(u) = u**3 + 5*u**2 + 7*u + 4. Suppose -r = -5*c - 44 - 6, 3*c = -3*r - 48. Let i = 13 + c. Suppose -i*q - 2*q = -5*o + 11, 5*q = 5*o - 15. Calculate k(q).
-8
Suppose -2 + 1 = -3*t + 4*j, 4*j + 7 = 5*t. Suppose -3*k + 5*w + 0 = 4, k + t*w - 8 = 0. Let u(n) = 4*n - 3*n + 2*n - 7*n + n**k. Give u(3).
-3
Let b be (36/(-42))/((-5)/(-35)). Let x(n) = -4 - 3*n**3 - 7*n**2 - 8*n + 5*n**3 - 3*n**3. Determine x(b).
8
Let f be 262/16 - (-21)/(-56). Suppose 15*m - f*m + 3 = 0. Let s(z) be the first derivative of z**2 - 2*z - 2. What is s(m)?
4
Suppose 2*a = 3*z + a - 205, -4*a - 284 = -4*z. Suppose -64*d = -z*d. Let f(g) = -g**2 + g + 2. What is f(d)?
2
Suppose 6 - 18 = -2*l. Let y(q) = -5*q**2 + 8*q + 7. Let d(m) = m**2 - m - 1. Let o(s) = l*d(s) + y(s). Let k be o(-3). Let h(f) = f - 1. Calculate h(k).
3
Let u(w) = w**3 + 5*w**2 - 14*w + 5. Let a be u(-7). Let j(g) be the third derivative of g**6/120 - g**5/12 - g**4/12 + 5*g**3/6 - 9*g**2. Determine j(a).
-5
Let h(c) = c**3 - 10*c**2 + 13*c + 17. Let y be h(8). Let t(j) = j**2 + 10*j + 7. What is t(y)?
-14
Let t(r) = -2*r - 17 + 23 + 4*r + 2*r. Determine t(-2).
-2
Let k(r) be the second derivative of -r**3/3 + 3*r**2 + 50*r. Give k(-10).
26
Let r(d) be the first derivative of -3*d - 1 + 1/3*d**3 - 1/2*d**2. What is r(0)?
-3
Let l be -3 + 8 - 3/(-1). Suppose -3*c = -l + 17. Let f(r) = r**3 + 4*r**2 + 2*r - 4. Give f(c).
-1
Let u = 5 - -3. Let n be 1*(-4)/(u - 4). Let f(o) = -8*o**3 - 2*o**2 - 2*o - 1. What is f(n)?
7
Suppose 2 = -3*w - 2*d + 32, 3*w = d + 30. Let h = w - 9. Let y be -6*(h - (-4)/(-6)). Let n(f) = -4*f**2 - 2*f + 2. What is n(y)?
-10
Let b(y) = -4*y + 1. Suppose -3*d - 74 - 120 = -w, 3*d = -4*w + 821. Suppose -w*g = -199*g + 12. Give b(g).
13
Suppose -5*i + o + 15 = 0, o = -4*i + 4*o + 23. Let g(k) = 3*k + 4 - 4*k - 69*k**i + 63*k**2 - k**3. Give g(-6).
10
Let b(t) = -4*t**3 - 8*t**2 + 7*t - 7. Let x(q) = 7*q**3 + 15*q**2 - 14*q + 13. Let c(p) = 5*b(p) + 3*x(p). Calculate c(-6).
10
Let a(x) = -4*x**2 - x + 5*x**2 + 6 + 7*x. Let z(i) = -3*i - 22. Let u be z(-13). Let n = 12 - u. Determine a(n).
1
Let g be 22/6 + 2/(-3). Let y(q) = 22*q**3 | {
"pile_set_name": "DM Mathematics"
} |
5
What is the seventh biggest value in -13628, 2/15, -4, -1/3, 0.1, -3, 8?
-13628
What is the third smallest value in 113, -92/13, 0.3, 3, -3?
0.3
What is the sixth smallest value in 2, -2/57, 76899, -1/4, 0.4, 7?
76899
Which is the second smallest value? (a) 63.19 (b) -3/5 (c) -0.05
c
Which is the smallest value? (a) -1/4 (b) 5983.18899 (c) 2/21
a
Which is the third biggest value? (a) 17/7 (b) -2 (c) -0.062876
b
What is the smallest value in 0.1, 326, 6374, -0.1?
-0.1
Which is the fifth smallest value? (a) 61 (b) -6 (c) -4 (d) 5 (e) -0.38
a
Which is the sixth smallest value? (a) -348 (b) -5 (c) -4/5 (d) 1 (e) -1.4 (f) -1/34
d
Which is the second smallest value? (a) 2/3 (b) -7.95 (c) 2 (d) 465
a
What is the biggest value in -2, -4/7, -5/332?
-5/332
What is the biggest value in 3/4, 107, 1, 2/7, -0.234?
107
What is the fourth smallest value in 0.4, 3/5, 0.004, 4, -0.2714?
3/5
What is the sixth smallest value in 0.01, 2, 0.5, 3, 35, -3/5?
35
What is the third smallest value in -2, 3/2, 2, -3/2, 51?
3/2
Which is the smallest value? (a) 167014 (b) 0.3 (c) 40
b
What is the second smallest value in -114/47, -2.284, 0.66?
-2.284
Which is the fifth biggest value? (a) -20 (b) -1/12 (c) 236 (d) 1 (e) 0.1 (f) 0.06 (g) 5
f
What is the third biggest value in 0.5, 5891, -43?
-43
What is the smallest value in 1/6, 2937, -3, -3/8, -2/37, 0?
-3
What is the second biggest value in -3/4, -8, -2/13, 0, -0.0416, 23?
0
Which is the fourth smallest value? (a) -13320 (b) -2/13 (c) 3 (d) -110
c
What is the biggest value in -5, 1.7, -1329.2, 2?
2
What is the third smallest value in -5/2, -6078, -0.4?
-0.4
What is the third biggest value in 2/9, 1, -20, 9, -5, 210?
1
What is the fourth biggest value in -0.2, 3/8, 0.0802, 76, -2/5?
-0.2
Which is the third smallest value? (a) -39 (b) 2/121 (c) -6/167 (d) -2/7
c
Which is the smallest value? (a) 0.5 (b) -4 (c) -2 (d) 231/1069 (e) 11 (f) 4
b
Which is the fifth biggest value? (a) -4 (b) -8.4 (c) 4 (d) -13/3 (e) 3/8 (f) -3/7
d
What is the third smallest value in -2, -1/5, -1/313183, 5?
-1/313183
Which is the second biggest value? (a) -1 (b) -2/333 (c) 0.6386
b
Which is the biggest value? (a) 4 (b) 2/7 (c) 0.4 (d) -2 (e) -8/13 (f) -1995
a
What is the second smallest value in -2/7, -124, 11433?
-2/7
What is the biggest value in 298, 11/3, 94?
298
What is the fifth biggest value in 1/5, -143.5, 0.03, 0, -0.04?
-143.5
What is the biggest value in -12, 1/2, 21, 0.4, 3, -69/20?
21
What is the second biggest value in 0.1, 3, 46, -0.04, 80?
46
What is the biggest value in -3/13, 1/4, 29379, 1?
29379
Which is the second biggest value? (a) -26/83 (b) -2/17 (c) 468
b
Which is the third smallest value? (a) 1 (b) -0.5 (c) -4 (d) -0.145 (e) -1 (f) -2
e
Which is the third smallest value? (a) 0.03 (b) 0 (c) 50 (d) -35/3 (e) -1/3 (f) -6
e
Which is the sixth smallest value? (a) -23 (b) -7/4 (c) -2 (d) -3 (e) 5/4 (f) 19/107 (g) -3/4
f
What is the fifth biggest value in 0.1, -2/5, 9, 0.2, -1.12538, 0.4?
-2/5
Which is the third smallest value? (a) -250/57 (b) -95 (c) 5/13
c
What is the second biggest value in -1.6, 927.8, -0.048, -2?
-0.048
Which is the smallest value? (a) 423.463 (b) 0.3 (c) 0.2
c
Which is the second biggest value? (a) -0.2 (b) 0.3 (c) -16 (d) -2458
a
What is the fifth smallest value in -0.2, 6, -78.32, -0.4, -15?
6
What is the third smallest value in 1, 0.0273, 2, -4, -0.04, -3/7, 1/21?
-0.04
Which is the third biggest value? (a) -13/19 (b) -6/7 (c) 213
b
What is the fourth smallest value in 3/2, 8, -4/5, 65867?
65867
What is the second smallest value in -5, -4, -16488670?
-5
What is the second smallest value in 389, -8/5, -1/3, 5933, -0.4, -0.2?
-0.4
What is the third biggest value in -5, 2/23, -0.1, 9/38?
-0.1
Which is the third smallest value? (a) -500 (b) -49 (c) 0 (d) -1/3 (e) -0.2
d
What is the sixth biggest value in 2/65, 1, -6, -0.3, -2/19, 16?
-6
Which is the fourth biggest value? (a) 246 (b) 7 (c) -7 (d) 2/19 (e) 16.1
d
What is the second biggest value in -31, -0.2, -1/2, 10, 4/7, 1, 2/45?
1
What is the fifth smallest value in 0.4, -1, -1/2, 1669, 0.328, -0.9, -0.02?
0.328
Which is the fifth smallest value? (a) 1/2 (b) -1.95 (c) 3 (d) -295 (e) -0.15
c
Which is the biggest value? (a) 3 (b) 0.1 (c) -5/2 (d) 0 (e) 6 (f) 23 (g) 2/9
f
What is the fourth biggest value in 1, 3/871, -5, 27, -21, -1?
-1
Which is the second smallest value? (a) 4/27 (b) 113 (c) 169
b
What is the third smallest value in 0.02, -0.3, 29256, -0.13?
0.02
What is the fourth smallest value in 1, -6, -3/14, 0, 3, -6634, -2?
-3/14
Which is the smallest value? (a) -1264 (b) -1211 (c) 1/6
a
Which is the fifth smallest value? (a) 20 (b) 6/5 (c) -0.5 (d) 2 (e) 1/3 (f) 0.4 (g) 549
d
What is the third smallest value in -10, 354.8, 0.071, -2?
0.071
Which is the smallest value? (a) -13 (b) -1 (c) 0.16 (d) 0.1417 (e) -3 (f) 0.3
a
What is the third biggest value in 5, -3/4, -1, 2095, -0.5?
-0.5
Which is the fifth smallest value? (a) 4 (b) -0.04 (c) 37 (d) 20 (e) 11 (f) -2 (g) 0.1
e
What is the third biggest value in 154, 1/2, -1/9, -0.2, -3, 0, -4?
0
What is the fifth smallest value in -2/5, -103, 1, 64973, 0.4?
64973
Which is the third biggest value? (a) 0.2 (b) -1 (c) -0.154 (d) 17
c
Which is the second biggest value? (a) -1.22 (b) 0.4 (c) 1/3 (d) -3/5 (e) 7.5 (f) -28 (g) -13
b
What is the biggest value in -44330, 31, -18/7?
31
What is the fourth biggest value in 7, -15420, 2/11, 25, 1/8?
1/8
What is the third smallest value in -1/3, 1, -16, 4934?
1
Which is the fourth biggest value? (a) -2 (b) 4 (c) -389.4 (d) 1924 (e) 2/5
a
Which is the fourth biggest value? (a) 1/4 (b) 57/4 (c) -0.5 (d) 3/2167
c
What is the second smallest value in 124.39, 150, 0.4, 2/11?
0.4
Which is the biggest value? (a) 3 (b) -3 (c) -1/68 (d) 1 (e) 5743 (f) -1
e
Which is the biggest value? (a) -2 (b) -83 (c) -5 (d) 6 (e) -3 (f) 0 (g) 53
g
Which is the third biggest value? (a) 2/5 (b) 41 (c) 118903 (d) -0.5
a
Which is the sixth biggest value? (a) -3 (b) 4 (c) 13 (d) 0.02 (e) 9.5 (f) -0.1
a
Which is the fourth biggest value? (a) -11/6 (b) -1.672 (c) 6/59 (d) 49
a
Which is the smallest value? (a) -0.0729 (b) 32 (c) -1.1 (d) 0.1
c
Which is the second biggest value? (a) 13/4 (b) 6199 (c) -4 (d) -1
a
Which is the third biggest value? (a) -26 (b) -0.1 (c) 3 (d) 0.2 (e) -1134 (f) 0.5 (g) -0.3
d
What is the third smallest value in -2/19, 17324, -6, 6, -1?
-2/19
What is the third smallest value in 0.3, 0.1, -24, 0, -11394, 5?
0
What is the second biggest value in 7/89, 4/7, 2/11, -2, -2/9, 2, -13?
4/7
What is the fifth biggest value in 113, 1.611, 2, -1/10, -2/3?
-2/3
Which is the third smallest value? (a) -0.3 (b) 34606 (c) 6/31
b
Which is the biggest value? (a) 1 (b) -0.88 (c) -2525 (d) -6 (e) -5
a
Which is the second smallest value? (a) -3 (b) 4 (c) -685 (d) -1/4 (e) 0 (f) 33/173
a
What is the third biggest value in 3, -2/13, 58876791?
-2/13
Which is the second smallest value? (a) -1 (b) -45369 (c) 2/101 (d) 0.06
a
What is the second smallest value in 7, -0.56, 39546/19?
7
Which is the third smallest value? (a) -3/7 (b) 1/5 (c) 90/7 (d) -0.05
b
What is the fourth biggest value in -0.63, 40, 0, 2, -0.1, -2/7?
-0.1
Which is the second smallest value? (a) -4 (b) 0.137 (c) -18 (d) 1 (e) 58 (f) -0.56
a
Which is the second biggest value? (a) -0.718 (b) -48 (c) 115
a
Which is the second biggest value? (a) -683 (b) -8144 (c) 1/2
a
Which is the third smallest value? (a) 3 (b) 818 (c) -91.9
b
Which is the fourth biggest value? (a) 65092/115 (b) 2 (c) 4 (d) 0.4
d
Which is the second smallest value? (a) 3 (b) 2/23 (c) 100 (d) -2 (e) 8 (f) 5/14
b
What is the sixth smallest value in -1/5, -0.5, -77, 0, -3, 17.768?
17.768
What is the fifth biggest value in -4, -10/19, 10, 3, -508?
-508
Which is the third biggest value? (a) -2/11 (b) 2446.16 (c) -1
c
Which is the second smallest value? (a) -1008 (b) 0.4 (c) 955 (d) -2
d
Which is the third smallest value? (a) -1/2 (b) -1/3 (c) -2/7 (d) -1 (e) 859 (f) 5 (g) 2/11
b
What is the smallest value in - | {
"pile_set_name": "DM Mathematics"
} |
2
Simplify (sqrt(1620)*2)/(3*-1*sqrt(10)).
-6*sqrt(2)
Simplify (sqrt(704) + 0 + sqrt(11))**2 + -4 - (-3 + sqrt(44)/sqrt(4))*4.
-4*sqrt(11) + 899
Simplify (-5*(2*sqrt(243) + sqrt(243) + sqrt(243)))**2.
97200
Simplify 3 + -2 + sqrt(11)*1.
1 + sqrt(11)
Simplify 1 + (sqrt(3) - (1 + sqrt(3) + 0)) + -1 + -2.
-3
Simplify (sqrt(560) + 2*sqrt(560))/(sqrt(28)*5 + sqrt(7)).
12*sqrt(5)/11
Simplify sqrt(1584) + (-1*sqrt(1584)*1)**2.
12*sqrt(11) + 1584
Simplify -1*(sqrt(147) + 2).
-7*sqrt(3) - 2
Simplify (-4*(2 + sqrt(13)) + 0)**2.
64*sqrt(13) + 272
Simplify (3*(0 + sqrt(325)))**2.
2925
Simplify -6*(sqrt(405) + -1)**2 + -3.
-2439 + 108*sqrt(5)
Simplify sqrt(44)/(sqrt(12)/sqrt(3))*3.
3*sqrt(11)
Simplify 2*sqrt(245) + -4 + -2*sqrt(5).
-4 + 12*sqrt(5)
Simplify ((sqrt(325) - (-1 + sqrt(325) + sqrt(325) - sqrt(325)) - sqrt(325))*2)**2.
-40*sqrt(13) + 1304
Simplify ((3 + 1 + sqrt(300))*-5)**2.
2000*sqrt(3) + 7900
Simplify 3 + -3 + sqrt(11) + ((sqrt(44)/(sqrt(20)/sqrt(5)))**2 - sqrt(11)).
11
Simplify (sqrt(13) + 1 - sqrt(13)) + 1 - (0 + sqrt(39)/sqrt(3)).
-sqrt(13) + 2
Simplify (-3 + (-2 + sqrt(1300))**2)*-6.
-7806 + 240*sqrt(13)
Simplify 3 + sqrt(28) - (((2*sqrt(84))/sqrt(12))**2 - sqrt(7)).
-25 + 3*sqrt(7)
Simplify 4*((-5*(sqrt(11) + 0))**2 + -2 + 2).
1100
Simplify ((1 + sqrt(1539))*-2 + -2)**2.
144*sqrt(19) + 6172
Simplify sqrt(360)/(sqrt(200)*-2).
-3*sqrt(5)/10
Simplify 0 + -2 + (sqrt(17) - (1 + sqrt(833))).
-6*sqrt(17) - 3
Simplify ((sqrt(190) + (sqrt(190)*1 + sqrt(190) - sqrt(190)))*5)/sqrt(10).
10*sqrt(19)
Simplify (sqrt(88)*-2)/sqrt(8) - (4*sqrt(11) + 0)**2.
-176 - 2*sqrt(11)
Simplify (sqrt(171) + 2*sqrt(171)*5)**2.
20691
Simplify (sqrt(54)/sqrt(18))/(sqrt(36)*-4).
-sqrt(3)/24
Simplify (1 + sqrt(99) + -1)**2 + (sqrt(99) - ((sqrt(99) + 1 + sqrt(99))**2 + -3)).
-295 - 9*sqrt(11)
Simplify (sqrt(44)*-2)/sqrt(4) - (sqrt(11) - (sqrt(4455) + sqrt(55) + sqrt(55))/sqrt(5)).
8*sqrt(11)
Simplify (sqrt(567) + sqrt(567)*-2*-3 + -3)*4.
-12 + 252*sqrt(7)
Simplify (sqrt(63)*-2 + -1)**2.
12*sqrt(7) + 253
Simplify (2*sqrt(24)/sqrt(2))/((sqrt(192)/sqrt(4))/sqrt(8)) + 4.
2*sqrt(2) + 4
Simplify 2*sqrt(17) + -2 - (sqrt(51)*-4)/sqrt(3).
-2 + 6*sqrt(17)
Simplify (((2 + sqrt(17))*-5)**2 + sqrt(136)/sqrt(72))*-3.
-1575 - 301*sqrt(17)
Simplify (4 + sqrt(68) + 4)*-6.
-12*sqrt(17) - 48
Simplify (2*sqrt(81) + sqrt(81))/sqrt(3).
9*sqrt(3)
Simplify (-6*(sqrt(1900) + 4 - sqrt(1900))*3)**2.
5184
Simplify (1*sqrt(70)/((sqrt(1440) - (sqrt(1440) - (sqrt(1440) - 2*sqrt(1440)))) + sqrt(10)))**2.
7/121
Simplify sqrt(68)/sqrt(4)*-1*-2.
2*sqrt(17)
Simplify (sqrt(8) + 2*((-1*sqrt(8) - sqrt(8)) + sqrt(8)))/((-2*sqrt(44))/sqrt(11)).
sqrt(2)/2
Simplify (5*2*sqrt(243) + sqrt(243))**2*1 + -4.
29399
Simplify (4*-3*sqrt(136))/((sqrt(288)/sqrt(6))/sqrt(6)).
-12*sqrt(17)
Simplify (sqrt(119) - -2*(sqrt(119) + (sqrt(119) - 2*sqrt(119) - sqrt(119))))/(sqrt(126)/sqrt(2)).
-sqrt(17)/3
Simplify ((sqrt(76) - -6*sqrt(76)*-1) + sqrt(76))/(6*sqrt(8)/sqrt(2)).
-2*sqrt(19)/3
Simplify 2*sqrt(700) + 1 + (sqrt(700) + -1)**2 + 1.
703
Simplify -5*(2 + sqrt(112) + -3).
-20*sqrt(7) + 5
Simplify sqrt(12)*2*-2 + 4.
-8*sqrt(3) + 4
Simplify -5*(sqrt(17) + 0) - (sqrt(2448)*-1)**2.
-2448 - 5*sqrt(17)
Simplify sqrt(56)/(sqrt(8) - sqrt(8)*-2) + 4.
sqrt(7)/3 + 4
Simplify (sqrt(152) - -1*(sqrt(152) - 3*sqrt(152)))/(6*sqrt(288)).
-sqrt(19)/36
Simplify ((sqrt(143) + -2*sqrt(143)*-1 - sqrt(143)) + sqrt(143))/((sqrt(88)*1)/sqrt(8)).
3*sqrt(13)
Simplify (sqrt(242)*-1 + 3 + -5 + (sqrt(242) - sqrt(242)*-2) + sqrt(242))**2.
-132*sqrt(2) + 2182
Simplify 5*(sqrt(243)*-1 + 2 + 1*sqrt(3) + sqrt(3)).
-35*sqrt(3) + 10
Simplify sqrt(60)/(sqrt(24)/sqrt(2)*5).
sqrt(5)/5
Simplify 4 + -1*sqrt(5) + ((sqrt(35)*-1)/sqrt(7) - sqrt(5))**2.
-sqrt(5) + 24
Simplify (sqrt(204) - 2*(sqrt(204) - -1*sqrt(204)))/(sqrt(1452)*-1 - sqrt(12)).
sqrt(17)/4
Simplify (sqrt(22)*2)/sqrt(11) - (4 + -2*sqrt(2)).
-4 + 4*sqrt(2)
Simplify -4 + -3*(sqrt(18) - sqrt(2))*-6.
-4 + 36*sqrt(2)
Simplify ((2*sqrt(1088) - sqrt(1088))*3)**2.
9792
Simplify sqrt(162)*2 + sqrt(8)/sqrt(4)*6.
24*sqrt(2)
Simplify 2 + (1 + sqrt(11))*-4.
-4*sqrt(11) - 2
Simplify 4 + ((sqrt(66)*1 - sqrt(66))/sqrt(6) - -1*sqrt(11)*1).
sqrt(11) + 4
Simplify (4*sqrt(77)*2)/(sqrt(66)/(sqrt(6)*2)).
16*sqrt(7)
Simplify -2*sqrt(19) + 4 - sqrt(171)*6.
-20*sqrt(19) + 4
Simplify sqrt(1872) - (0 + sqrt(1872)) - 5*sqrt(208).
-20*sqrt(13)
Simplify (4*3*sqrt(2))**2 + 4 + sqrt(6)/sqrt(3) + sqrt(2).
2*sqrt(2) + 292
Simplify sqrt(192) + (sqrt(192)*-2)**2 + sqrt(192) + 2.
16*sqrt(3) + 770
Simplify sqrt(91)/(sqrt(175) - sqrt(7)) - -5*(2 + sqrt(13)).
10 + 21*sqrt(13)/4
Simplify 3 + -3*sqrt(49)/sqrt(7)*-3.
3 + 9*sqrt(7)
Simplify (sqrt(136)/(sqrt(200) + (sqrt(200) - (sqrt(200) - -2*sqrt(200) - sqrt(200))) + sqrt(200) + sqrt(200)))**2*-1*-5.
17/20
Simplify ((sqrt(3) - (-3 + 0 + sqrt(3) + sqrt(3))) + sqrt(3) + sqrt(363) + sqrt(363)*-1 + sqrt(363) + -2)**2.
22*sqrt(3) + 364
Simplify 1*sqrt(1872) + 1.
1 + 12*sqrt(13)
Simplify (sqrt(18)/sqrt(2)*3 + sqrt(9))/(sqrt(36)/(1*sqrt(12))).
4*sqrt(3)
Simplify -1*(2*sqrt(19) + -2)**2.
-80 + 8*sqrt(19)
Simplify sqrt(18)/(sqrt(9)*-3) - (0 + sqrt(2) + 5).
-5 - 4*sqrt(2)/3
Simplify (sqrt(1728)*2)**2.
6912
Simplify ((3*sqrt(624))/(sqrt(3)*-2*2))**2.
117
Simplify ((-1*sqrt(108) - sqrt(27)) + -3)**2.
54*sqrt(3) + 252
Simplify (-4*(sqrt(20) - (sqrt(80)/sqrt(4) + sqrt(20) - sqrt(20))) - sqrt(20))/(sqrt(10) + sqrt(20)/sqrt(18)).
-3*sqrt(2)/4
Simplify (sqrt(6)/(sqrt(48)*-1))**2.
1/8
Simplify 1*-1*sqrt(539) + sqrt(539) + ((sqrt(539) + -1 - sqrt(539)) + -4 + sqrt(539) + sqrt(539))**2.
-140*sqrt(11) + 2181
Simplify -5 + -4*(0 + -1*sqrt(171)).
-5 + 12*sqrt(19)
Simplify (sqrt(17)*2)**2 + 3 + sqrt(153) + 3.
3*sqrt(17) + 74
Simplify (sqrt(1078)*-2)/sqrt(2).
-14*sqrt(11)
Simplify (3 + sqrt(1200) - sqrt(1200))**2.
9
Simplify (sqrt(76) + sqrt(76)*2)/sqrt(4) + -1.
-1 + 3*sqrt(19)
Simplify (2*(-4 + sqrt(27) + sqrt(3) + -1) + -2)**2.
-192*sqrt(3) + 336
Simplify (sqrt(847) + -1 + -2 - sqrt(847) - sqrt(847)) + -2 + (sqrt(847) + sqrt(847) + -2)**2.
-99*sqrt(7) + 3387
Simplify -3*-3*(sqrt(13) + ((-2*sqrt(13))**2 - sqrt(13))) + sqrt(65)/(-4*sqrt(5)*2).
-sqrt(13)/8 + 468
Simplify (-3 + 6*(1*sqrt(832) - sqrt(832)) + ((1*sqrt(832) - sqrt(832) - sqrt(832) - sqrt(832)) + 5 - sqrt(832)))**2.
-96*sqrt(13) + 7492
Simplify ((sqrt(5) + -1 + 0)*6 + sqrt(20)/(-6*sqrt(36)))**2.
-214*sqrt(5)/3 + 68909/324
Simplify -2*(-4 + sqrt(176)).
-8*sqrt(11) + 8
Simplify (sqrt(60) + (sqrt(660) - sqrt(660)*1)/sqrt(11) - sqrt(60))/(6*sqrt(36)/sqrt(3)) + 4.
4
Simplify 2 + (0 + sqrt(5))*-2.
-2*sqrt(5) + 2
Simplify (-1 + sqrt(117) + 2 - -5*-3*sqrt(117))**2.
-84*sqrt(13) + 22933
Simplify sqrt(3)*5 + -3 - sqrt(3) - 5*4*sqrt(3).
-16*sqrt(3) - 3
Simplify -1*((sqrt(252) + -1 + -5)*3)**2.
-2592 + 648*sqrt(7)
Simplify 4*(0 + (sqrt(17) - (sqrt(17) + 2))).
-8
Simplify 5 + sqrt(252)/sqrt(4).
5 + 3*sqrt(7)
Simplify (-1*sqrt(6)/sqrt(2))**2 + -4.
-1
Simplify (2 + 0 + sqrt(2057) + sqrt(2057))**2.
88*sqrt(17) + 8232
Simplify (sqrt(567)/(sqrt(63)/sqrt(7)))/sqrt(9) + -2.
-2 + sqrt(7)
Simplify (-5 + 4 + 1*sqrt(1539))**2.
-18*sqrt(19) + 1540
Simplify (sqrt(176)*2)**2 + -5 - sqrt(176).
-4*sqrt(11) + 699
Simplify -4*(2 + sqrt(128) + 0 - sqrt(128))**2*1.
-16
Simplify (4*((-4*sqrt(187) - sqrt(187) - sqrt(187)) + sqrt(187))/sqrt(11))**2.
6800
Simplify ((2*sqrt(24))/sqrt(8) - sqrt(12)/sqrt(4)*5)*2.
-6*sqrt(3)
Simplify 2*(1 + sqrt(13) + sqrt(52) + sqrt(13) + 1)**2.
32*sqrt(13) + 424
Simplify (sqrt(34)/sqrt(8) - (sqrt(272) + -3))*-4.
-12 + 14*sqrt(17)
Simplify (0 + (1 + sqrt(2736) + -5 + sqrt(2736) - (sqrt(2736) + 0 + sqrt(2736))*3))**2.
384*sqrt(19) + 43792
Simplify 3*(sqrt(11) + sqrt(77)/(sqrt(14)/sqrt(2))).
6*sqrt(11)
Simplify sqrt(25)/(sqrt(40)/(sqrt(16)/sqrt(2))).
sqrt(5)
Simplify 2 + sqrt(63) + 1.
3 + 3*sqrt(7)
Simplify (sqrt(133)/sqrt(252) - sqrt(2736)*1)**2 + 0.
95779/36
Simplify 3*sqrt(26)/(2*sqrt(2)).
3*sqrt(13)/2
Simplify ((sqrt(30) - 2*sqrt(30))*6)/((-1*sqrt(66))/sqrt(11)).
6*sqrt(5)
Simplify (sqrt(13) - (((sqrt(104)*-2)/sqrt(8) - sqrt(13)) + sqrt(13))**2)*-2.
-2*sqrt(13) + 104
Simplify 5 + sqrt(11) + (0 + sqrt(396) - sqrt(396))**2.
sqrt(11) + 5
Simplify (sqrt(5700) + sqrt(57))/sqrt(3) + (sqrt(76)*-5)/sqrt(4).
6*sqrt(19)
Simplify (-1*(sqrt(11) - (sqrt(11) + 1)))**2 + -2 + | {
"pile_set_name": "DM Mathematics"
} |
he remainder when m is divided by 33?
31
Suppose 406 = 5*s - 409. What is the remainder when s is divided by 55?
53
Let z = 7 + -4. Suppose 0*v - z*v = -6. Suppose 45 = o + v*o. What is the remainder when o is divided by 8?
7
Suppose v = 4*i + 6*v - 13, -3*v = -4*i + 5. Suppose 3*c - 190 = -3*h - i*h, -4*h = c - 152. Calculate the remainder when h is divided by 13.
12
Let t(m) = 7*m**2 - 5*m - 6. Let k be t(-4). Let p = 179 - k. Let o = -8 + 26. Calculate the remainder when p is divided by o.
17
Suppose 0 = -5*c - a + 184, 2*a - 144 = -4*c - 2*a. Calculate the remainder when c is divided by 13.
11
Let f = 230 - 118. Suppose -2*i = -2*h - 27 + 71, 3*i + f = 5*h. What is the remainder when h is divided by 8?
7
Suppose 3*f - 2*f + 8 = 0. Let r = 10 + -5. Calculate the remainder when r is divided by ((-7)/(-14))/((-2)/f).
1
Suppose -15 = -4*m - 3. Suppose b - m - 16 = 0. Calculate the remainder when b is divided by 11.
8
Suppose 0*k - 2*k = 4*f - 66, -f - 48 = -k. Suppose 27 = 5*c - k. Suppose -12*a + 104 = a. What is the remainder when c is divided by a?
6
Suppose -h - 2*h + 321 = 0. What is the remainder when h is divided by 22?
19
Let p = -17 - -30. Calculate the remainder when p is divided by 8.
5
Let l be 4 - 1*-2 - 1. Suppose -2*w = -4*a + 2, 3*a - 60 = -l*w - 0*a. Calculate the remainder when 25 is divided by w.
7
Let n(c) = 8*c**3 + c - 1. Let b be n(1). Let l(a) = -a**2 - 3*a + 2. Let q be l(-3). What is the remainder when 20 is divided by b*(q - 1) + -1?
6
Let b = 27 + -14. What is the remainder when 49 is divided by b?
10
Suppose -7 = -3*t + 5*a + 29, 36 = 3*t + 4*a. What is the remainder when 34 is divided by t?
10
Let q(n) = -n**3 - 4*n**2 + 6*n + 7. Let o be q(-5). Let d = 5 - o. Calculate the remainder when (-2)/3 - (-26)/d is divided by 5.
3
Suppose 0*l - 80 = -4*l. Let g = -8 + l. What is the remainder when 23 is divided by g?
11
Let r(o) = o + 15. What is the remainder when 5 is divided by r(-11)?
1
Let x(g) = 6*g - g + 2*g. Let f be x(-4). Let j = f + 41. Calculate the remainder when 37 is divided by j.
11
Let t = 18 + -16. Suppose -5*j - t*c + 6*c + 60 = 0, -4*j = c - 27. What is the remainder when j is divided by 3?
2
Let u = 77 - 43. Let q be (-14)/(-4) - 2/4. Calculate the remainder when u is divided by 0 + 12 + 3 - q.
10
Let j = -101 + 180. What is the remainder when j is divided by 21?
16
Suppose -4*t + 9*t + j - 10 = 0, -5*t = -j - 20. What is the remainder when 9 is divided by t?
0
Let a(r) = -r**2 - 20*r - 2. Calculate the remainder when a(-15) is divided by 19.
16
Let s = -7 - -15. Calculate the remainder when s is divided by 3.
2
Suppose -2*g - 5*d = -29, g - 4*g - 5*d = -51. Let w(u) = -u**2 - 12. Let f be w(0). Let o = g + f. Calculate the remainder when o is divided by 6.
4
Let n(g) = g**2 - 3. What is the remainder when n(10) is divided by 25?
22
Suppose 3*x + 2*t - 46 - 73 = 0, -x - t + 38 = 0. What is the remainder when x is divided by (-4)/((-16)/(-20))*(-9)/5?
7
Calculate the remainder when 31 is divided by 48/9*(-3 + 6).
15
Let h = 77 - 67. What is the remainder when 15 is divided by h?
5
Let k = 168 + -105. What is the remainder when k is divided by 22?
19
Suppose -3*z + 21 = 2*b - 95, -2*b + 112 = 2*z. What is the remainder when b is divided by 27?
25
Calculate the remainder when 15/10*(-228)/(-9) is divided by 10.
8
Suppose -3 = 2*s - 0*i - 5*i, 2*s = 2*i. Suppose -3 = -z - 1. What is the remainder when z is divided by s?
0
Suppose -5*l + 25 = 0, -l = -y + l - 8. Let x = 4 - y. What is the remainder when 5 is divided by x?
1
Let p(s) = s + 28. Calculate the remainder when p(0) is divided by 10.
8
Let a be (-9)/(10/(-4) - -1). Suppose 5*h = 4*p + 5, -2 = -2*h + 2*p - a*p. What is the remainder when h is divided by 1?
0
Let m be 15/10*4/3. Suppose -4*b + m*r = -138, -4*r - 31 = -2*b + 35. Let q = 78 - b. Calculate the remainder when q is divided by 15.
13
Suppose 2*k - 7*k + 6 = s, -5*s = -5*k + 30. What is the remainder when 4 is divided by k?
0
Let x = -17 - -27. Suppose -5*g + 5 = -85. What is the remainder when g is divided by x?
8
Suppose -k + 12 = k. Suppose -11*x + 30 = -14. Calculate the remainder when k is divided by x.
2
Let w = -4 - -4. Suppose w = n + 3*n - 24. Suppose -u + n = -0*u. What is the remainder when 11 is divided by u?
5
Suppose h - 40 = -2*x, 0 = 4*h + 4*x - 17 - 139. Suppose -2*i + 90 = -p + h, 128 = 5*i - 2*p. Calculate the remainder when i is divided by 13.
11
Let q = 53 - 24. Suppose -2*k + q = 2*y - 7, -y - 5*k = -22. What is the remainder when (-3 + 2)/((-1)/33) is divided by y?
16
Let o = 9 - -10. Let z(u) = -1001*u. Let n be z(-2). What is the remainder when n/56 - 2/(-8) is divided by o?
17
Let w = -20 - -101. Calculate the remainder when w is divided by 30.
21
Suppose x - 5*b - 69 = 0, -5*x + 131 = -2*x + 4*b. Suppose 14*o - 26 = 12*o. Calculate the remainder when x is divided by o.
10
Let p(r) = -r**3 + 6*r**2 - 7*r + 5. Calculate the remainder when 44 is divided by p(4).
8
Suppose -4*b - 5*g = -46, 7 = 3*b - 5*g - 10. What is the remainder when 23 is divided by b?
5
Let l be (-10)/4 + (-1)/2. What is the remainder when 10 is divided by (2/6)/(l/(-54))?
4
Let n(o) be the second derivative of -o**3/6 + 9*o**2/2 + 6*o. Calculate the remainder when 39 is divided by n(-11).
19
Let k = 234 + -109. Let i = -89 + k. Let x = -38 + 57. Calculate the remainder when i is divided by x.
17
Let y(l) = 9. Let g(h) = -h - 9. Let w(z) = -3*g(z) - 4*y(z). Calculate the remainder when w(5) is divided by 4.
2
Let p(d) = d**3 - 6*d**2 + 6*d - 2. Let r be p(5). Suppose 0 = -7*s + 3*s + 104. Suppose s = -v + r*v. Calculate the remainder when v is divided by 8.
5
What is the remainder when 24/60 + 128/5 - 2 is divided by 14?
10
Suppose 0 = g + 3*w - 10, -10 = 3*g - 5*w - 26. Let v = -10 + 21. What is the remainder when v is divided by g?
4
Let c(l) = -l**2 + 8*l - 5. Let y(s) = -s - 5. Let d be y(-10). Calculate the remainder when 18 is divided by c(d).
8
Suppose 0 = 2*s + s. Suppose s = -4*z - z + 20. Suppose -16 = -2*r + 2*k, -6*k = r - 4*k - 5. Calculate the remainder when r is divided by z.
3
Calculate the remainder when 184/14 - 1/7 is divided by 8.
5
Let l be 9*1/(-9)*-3. Calculate the remainder when (-7)/(-21) + 26/l is divided by 6.
3
Suppose -45 + 5 = -5*z. What is the remainder when z/(-36) - (-173)/9 is divided by 7?
5
Let s be ((-3)/1)/(2/(-18)). Let n = s + -18. What is the remainder when 17 is divided by n?
8
Let s(c) = -c + 6. Let d be s(-6). What is the remainder when (3 - 1) + d + -1 is divided by 5?
3
Let r = 108 - 60. Suppose -4*v = -v + 2*a - 43, 3*a = -3*v + r. What is the remainder when 31 is divided by v?
9
Let l(y) be the second derivative of -y**5/20 - y**4/3 + y**3/2 - y**2/2 - y. Let z(u) = 2*u**2 - 5*u + 5. What is the remainder when z(4) is divided by l(-5)?
8
Let w(d) = -d**3 + 4*d**2 - 2*d - 1. Suppose j = 4 - 1. Let i = 13 - 12. What is the remainder when w(j) is divided by i?
0
Let p = 84 - 72. Calculate the remainder when 45 is divided by p.
9
Let x(d) = -d**3 + 11*d**2 + 3*d - 16. What is the remainder when 63 is divided by x(11)?
12
Suppose 3*w - w = c + 6, -w + c + 3 = 0. Let d be (-27)/12 - w/4. Let i = d - -7. Calculate the remainder when i is divided by 3.
1
Let c(n) = n**2 + 3*n - 11. What is the remainder when c(-11) is divided by 20?
17
Let a(n) = n**3 + 8*n**2 - 11*n - 13. What is the remainder when a(-9) is divided by 2?
1
Let i(f) = 5*f + 8. Let u be i(8). Calculate the remainder when 309/24 - (-6)/u is divided by (2*5)/(2/1).
3
Suppose 51 = 3*d - 54. What is the remainder when 104 is divided by d?
34
Let x = 89 + -30. What is the remainder when x is divided by 15?
14
Suppose -15 = 2*k - 53. Let q = -15 - -26. Calculate the remainder when k is divided by q.
8
Let k(g) = -g**3 - 3*g**2 - 4*g - 1. Calculate the remainder when 31 is divided by k(-3).
9
Suppose -2*h + 28 = -2. What is the remainder when 86 is divided by h?
11
Let f(l) = -8*l - 8. Let c(k) = -k - 1. Let n(a) = -4*c(a) + f(a). Calculate the remainder when 59 is divided by n(-6).
19
Suppose 0 = -2*d - 0*d + 3*g - 19, 3*g = 4*d + 23. Let b = 2 - d. Calculate the remainder when 1 is divided by (2/(-4))/((-2)/b).
0
Suppose w - o - 110 = -2*w, -w + o + 36 = 0. What is the remainder when w is | {
"pile_set_name": "DM Mathematics"
} |
n + 183. Let x be u(-4). Let p be 5/3*18/x. Find t, given that -8/7 + 2/7*t**2 + p*t = 0.
-4, 1
Let x(t) be the second derivative of -t**10/37800 + t**9/75600 + t**8/6720 + t**4/12 - t**2/2 + 28*t. Let j(h) be the third derivative of x(h). Solve j(k) = 0.
-1, 0, 5/4
Suppose -9503*x = -9480*x. Suppose 5*o + 17 = g, -2 = g + 3*o + 5. Factor j - 1/3*j**g + x.
-j*(j - 3)/3
Let d = -152332/21 + 7254. Suppose 0 + 26/21*m + 4/3*m**2 + d*m**3 = 0. What is m?
-13, -1, 0
Suppose 12 = -0*d + 6*d. Suppose n + 36 = d*n + 2*l, 4*l = n - 24. What is j in -26*j + 60*j**2 - 5*j**3 - 41*j - n*j - 81*j = 0?
0, 6
Let v = 1668/247 + -7599/1235. Factor -v*o**2 + 42/5*o - 72/5.
-3*(o - 12)*(o - 2)/5
Solve -1168/7*y + 4/7*y**3 + 12*y**2 - 2640/7 = 0 for y.
-30, -2, 11
Suppose -7*r + 20 - 6 = 0. Factor 3*f**r - 26*f - 4*f**2 - f**2.
-2*f*(f + 13)
Let v(b) be the first derivative of 3*b**5/5 - 37*b**4/2 + 47*b**3/3 + 12*b**2 - 3670. Let v(t) = 0. Calculate t.
-1/3, 0, 1, 24
Let w(m) = m**3 - 12*m**2 - 13*m + 14. Let p be w(13). Suppose -p*r = -6*r. Determine s, given that r*s + 3/8*s**4 + 0 + 0*s**2 + 3/8*s**3 = 0.
-1, 0
Let r(g) be the first derivative of 14*g**3/15 + 15*g**2 - 44*g/5 - 75. Factor r(m).
2*(m + 11)*(7*m - 2)/5
Let n(k) be the second derivative of -49/180*k**5 - 7/9*k**4 + 0 + 1/2*k**2 + 5*k - 8/9*k**3. Let t(j) be the first derivative of n(j). Factor t(d).
-(7*d + 4)**2/3
Let z = 226 + -223. Determine m, given that -4*m**4 + z*m**3 + 5*m**4 + 12*m**3 + 4*m**4 = 0.
-3, 0
Let s = -89 - 59. Let o be -9 - (s/(-16))/(-1). Factor 1/4*f - 1/4*f**3 - 1/4*f**2 + o.
-(f - 1)*(f + 1)**2/4
Let r(t) be the first derivative of t**6/80 - t**5/160 - t**4/32 + t**3/48 - 10*t - 41. Let a(i) be the first derivative of r(i). Factor a(q).
q*(q - 1)*(q + 1)*(3*q - 1)/8
Let p(r) = 928*r + 39906. Let v be p(-43). Let -14*a**v - 72/5*a + 0 + 2/5*a**3 = 0. Calculate a.
-1, 0, 36
Let p(k) be the third derivative of -k**6/160 - 5*k**5/8 + 13*k**4/4 + 525*k**2. Factor p(b).
-3*b*(b - 2)*(b + 52)/4
Let b(u) be the third derivative of 1/945*u**7 + 1/180*u**6 + 0*u**4 + 1/135*u**5 + 0*u + 0*u**3 + 0 - 44*u**2. Factor b(z).
2*z**2*(z + 1)*(z + 2)/9
Let p be (-236)/(-2)*(120/18 + -6). Let w = p + -1108/15. Solve -1/5*f**3 - 16/5 - 9/5*f**2 - w*f = 0.
-4, -1
Let 32 + 2/3*u**3 - 16/3*u - 10/3*u**2 = 0. What is u?
-3, 4
Suppose 0 = -32*b - 20436 + 4756. Let s be (-3)/5 - 504/b. Factor s*q + 1/7*q**3 + 1/7 + 3/7*q**2.
(q + 1)**3/7
Let u(v) be the first derivative of v**3/8 + 309*v**2/16 - 39*v - 1980. Factor u(w).
3*(w - 1)*(w + 104)/8
Suppose 10/9*l**4 + 0*l + 0*l**2 + 0 - 4/3*l**3 + 22/9*l**5 = 0. What is l?
-1, 0, 6/11
Let i be (60/52)/((-14)/((-420)/(-45))) - -2. Factor 2/13*r**3 - 32/13 + 40/13*r - i*r**2.
2*(r - 4)*(r - 2)**2/13
Let t(n) be the third derivative of 0*n**4 + 49/300*n**5 + 0*n**3 + 1/1050*n**7 - 7/300*n**6 + 0*n + 0 - 58*n**2. Let t(q) = 0. What is q?
0, 7
Let h(x) be the third derivative of -x**6/72 + 11*x**5/24 - 25*x**4/12 - 29*x**3/2 + 4*x**2 + 5*x. Let p(a) be the first derivative of h(a). Factor p(m).
-5*(m - 10)*(m - 1)
Let 7/2*u**2 + 1/4*u - 1/4*u**3 - 7/2 = 0. Calculate u.
-1, 1, 14
Let s(j) be the second derivative of -j**5/50 + 103*j**4/30 - 1559*j. Factor s(x).
-2*x**2*(x - 103)/5
Let g(f) = 36*f + 257. Let s be g(-7). Factor 4*q + 2*q + s*q - 9 + 23 + 2*q**2 + 5*q.
2*(q + 1)*(q + 7)
Let j(g) be the first derivative of -2*g**3 + 62 - 81*g + g**3 + 214 - 28*g**2 - 14*g**2 - 26. Determine t, given that j(t) = 0.
-27, -1
Suppose -48*b - 10*b + 16008 = 0. Let o = -273 + b. Factor -50/9 + 70/9*q + 2/9*q**o - 22/9*q**2.
2*(q - 5)**2*(q - 1)/9
Let u(n) = n**3 - 5*n**2 - 13*n - 2. Let p be 66/12 - 3/(-2). Let x be u(p). Factor -2 + c**2 - 12*c + 8*c + x*c.
(c - 1)*(c + 2)
Factor -82*w - 4*w**3 - 360*w - w**3 - 924*w + 170*w**2 + 6760 - 519*w.
-5*(w - 13)**2*(w - 8)
Let s(d) be the third derivative of d**6/40 - 7*d**5/5 - 125*d**4/8 - 48*d**3 - 7446*d**2. Factor s(x).
3*(x - 32)*(x + 1)*(x + 3)
Suppose -1 = -n, -1198 - 1837 = 4*z + 5*n. Let d = z + 760. Factor d - 5/6*q**2 + 11/6*q**3 - 7/6*q**4 + 0*q + 1/6*q**5.
q**2*(q - 5)*(q - 1)**2/6
Let l = -91 + 93. Let i be (134/(-17) - -8)/1. Let -i*t**l + 0 - 2/17*t = 0. Calculate t.
-1, 0
Let b(p) = p**3 - 5*p**2 + 5*p - 4. Let f be b(4). Suppose -12*r + 5*r + 98 = f. Factor 4 - 4 - 8 - r*z - 3*z**2.
-(z + 4)*(3*z + 2)
Let j(x) = -x**2 - 60*x - 155. Let l(g) = 3*g**2 + 150*g + 387. Let w be ((-27)/(-18))/(1/8). Let u(c) = w*j(c) + 5*l(c). Solve u(a) = 0 for a.
-5
Let j be (-54)/(-10) + 18/(-45). Suppose 0 = -j*d - 5*t, -1 - 9 = 2*d + 4*t. Factor d*z**3 + 6 - 2*z + 17*z - 1 + 15*z**2.
5*(z + 1)**3
Let c(a) be the third derivative of 0*a + 6*a**2 + 1/10*a**5 + 0*a**3 - 2 - 1/140*a**7 + 0*a**4 + 0*a**6. Factor c(p).
-3*p**2*(p - 2)*(p + 2)/2
Let p(h) be the first derivative of 4*h**3/3 + 1264*h**2 + 399424*h + 4029. Determine b, given that p(b) = 0.
-316
Let u = -40 + 43. Let 9*b**3 - 102*b**2 + 24 - 60*b + 17*b**u + 8*b**3 + 29*b**3 = 0. Calculate b.
-2/3, 2/7, 2
Let f(t) = -16*t**2 + 7*t + 74. Let w(y) = 5*y**2 - 2*y - 25. Suppose 25*j = 17*j + 56. Let r(a) = j*w(a) + 2*f(a). Find p such that r(p) = 0.
-3, 3
Let n**3 + 16*n + 20 + 38*n + 73 - 175*n + 27*n**2 = 0. What is n?
-31, 1, 3
Let z(q) = -4*q**3 + q**2 + 2. Let p(t) = 106*t**3 - 1858*t**2 - 3670*t - 1888. Let l(r) = -2*p(r) - 52*z(r). Factor l(j).
-4*(j - 918)*(j + 1)**2
Let i(o) be the third derivative of -o**6/40 - 17*o**5/20 - 8*o**4 - 24*o**3 - 1813*o**2 + 2*o. Factor i(h).
-3*(h + 1)*(h + 4)*(h + 12)
Factor -274/3*m**2 + 0*m - 2/3*m**3 + 0.
-2*m**2*(m + 137)/3
Let g(h) be the second derivative of -3*h**5/140 + 9*h**4/14 - 30*h**3/7 + 12*h**2 - 15*h + 13. Solve g(z) = 0 for z.
2, 14
Suppose 5*n - 40 + 25 = 0. Suppose -55 = n*h - 55. Find w such that h*w**2 - 5/2*w**5 + 5/2*w**4 + 0*w**3 + 0 + 0*w = 0.
0, 1
Find a, given that 3041536/5 + 4/5*a**2 + 6976/5*a = 0.
-872
Let q(c) be the second derivative of 0*c**2 + 0*c**3 + 1/20*c**6 - 3/20*c**5 + 1/6*c**4 - 14*c - 1/168*c**7 + 0. Factor q(n).
-n**2*(n - 2)**3/4
Let w be (130/(-18))/1 + (-18)/(-81). Let n(s) = -s**3 - 7*s**2 + 2. Let p be n(w). Factor -k**4 + 13*k - 6*k**3 + 11*k - 3*k**2 - 8*k**p - 30*k.
-k*(k + 1)*(k + 2)*(k + 3)
Let p = -544554/7 + 77796. Determine f so that 33/7*f + 3/7*f**3 - 18/7 - p*f**2 = 0.
1, 2, 3
Suppose 0 - 2736*i**4 + 14*i**5 + 3104/7*i + 2880*i**2 + 27056/7*i**3 = 0. What is i?
-2/7, 0, 2, 194
Let o = 324 - 311. Solve 262*d - 258*d - 5*d**2 + o*d**2 + 4*d**3 = 0.
-1, 0
Let q(f) be the first derivative of -f**6/15 + f**5/10 + 8*f**4/3 + 20*f**3/3 - 233*f + 98. Let p(w) be the first derivative of q(w). Factor p(o).
-2*o*(o - 5)*(o + 2)**2
Let s(j) be the second derivative of j**4/66 + 2996*j**3/33 + 2244004*j**2/11 - 230*j - 10. Factor s(z).
2*(z + 1498)**2/11
Let v(g) be the third derivative of -g**5/9 - 403*g**4/18 + 36*g**3 - 146*g**2 + 1. Factor v(o).
-4*(o + 81)*(5*o - 2)/3
Let v = -526292 + 526294. Factor -6*u - 2/9*u**3 + 10/3*u**v + 26/9.
-2*(u - 13)*(u - 1)**2/9
Let b(h) be the second derivative of -h**5/25 + 3*h**4/5 - 22*h**3/15 - 42*h**2/5 - 2*h + 8. Factor b(i).
-4*(i - 7)*(i - 3)*(i + 1)/5
Suppose 5*n = 5*r - 170, 4*r = 7*r - 2*n - 97. Suppose 4*k + 19*k**3 - 51*k**3 + 3*k - 17 + r*k + 120*k**2 + 1 = 0. What is k?
-1/2, 1/4, 4
Let -3*d**3 - 60*d**4 + 158*d**3 + 8*d**2 - 229*d**5 + 234*d**5 + 52*d**2 - 160*d = 0. Calculate d.
-1, 0, 1, 4, 8
Let o(u) = 3*u**2 + 81*u. Let x(p) = p**2 + 41*p. Suppose 30 = 2*q + 7*z - 6*z, 60 = 4*q + 3*z. Let d(t) = q*x(t) - 6*o(t). Determine y so that d(y) = 0.
0, 43
Let i(j) be the second derivative of 4*j**7/273 - 107*j**6/195 + 269*j**5/130 - 59*j**4/39 - 16*j**3/13 + 596*j - 5. Find b, given that i(b) = 0.
-1/4, 0, 1, 2, 24
Let n(w) = 234*w - 7488. Let q be n(32). Factor -b**3 + 0*b + 7/2*b**4 + q*b**2 + 0.
b**3*(7*b - 2)/2
Suppose 69*z = -4*d + 68*z + 6, 0 = 4*z - 24. Let p(o) be the first derivative of 2/3*o**3 + d*o**2 + 15 + 8/5*o**5 + 0*o + 2*o**4. Factor p(b).
2*b**2*(2*b + 1)**2
Let q(i) be the third derivative of i**6/210 - 164*i**5/105 - 499*i**4/42 - 668*i**3/21 + 3125*i**2. Factor q(a).
4*(a - 167)*(a + 1)*(a + 2)/7
Let d(t) be the second derivative of 5*t**4/12 + 445*t**3/6 - 225*t**2 + 1425*t. Let d(y) = 0. Calculate y.
-90 | {
"pile_set_name": "DM Mathematics"
} |
+ 0 + 109*p**3 to the form q*p + a*p**2 + k + f*p**3 and give q.
-31
Rearrange (-27 + 15 - 5)*(0 + 0 - h) + 2*h - 64 + 10 - 16 to the form k*h + t and give t.
-70
Express (-45*v - 42*v**2 + 45*v)*(-31 - 10*v + 31)*(3 - 3 - 2) in the form c*v**2 + n + s*v**3 + o*v and give s.
-840
Express (-12*r + 2*r + 78*r**2 + 12*r)*(-3*r + 0*r + 7*r)*((1 + 1 - 1)*(r + 0*r + 0*r) + 3*r + 8*r - 4*r) as l*r**2 + v*r + s*r**4 + w + k*r**3 and give k.
64
Rearrange -6 - 8*m**2 - 1417*m**3 + 1441*m**3 + 6*m**2 + 2*m + m to d*m**3 + n*m**2 + o*m + t and give o.
3
Rearrange 455 + 1094*y**2 - 2197*y**2 + 1104*y**2 to m + g*y**2 + n*y and give m.
455
Rearrange (-4*t + 3*t + 2*t)*(-2 + 1 + 2) + 3*t - 4 + 4 + (6*t + 3*t - 2 - t)*(-3 + 2 - 2) + (5 - 3 - 1)*(-5*t + 4*t + 9*t) to the form w + f*t and give f.
-12
Rearrange -66 - 3*j**3 - 228 - 2*j + 258 + j**2 to the form f*j**2 + t*j + c + o*j**3 and give t.
-2
Rearrange a**3 + 5*a**2 - 5*a**2 + (-112*a**2 + 17*a**2 + 262*a**2)*(33*a - 65*a + 22*a) to the form g*a**3 + f*a + j + q*a**2 and give g.
-1669
Express (-1 + 12 + 6)*(1 - 4*s - 1)*(16*s**3 - 5 + 15 - 5) as y*s**3 + x*s**2 + a + g*s + m*s**4 and give g.
-340
Express -174*a - 425*a - 47*a + (2 + a - 2)*(1 - 5 - 1) as b*a + k and give b.
-651
Express 27*d - 18*d - 969*d**3 + 1939*d**3 - 966*d**3 + d**4 + 22*d in the form t*d**3 + b*d + r + h*d**2 + m*d**4 and give t.
4
Express 6643*w**2 - 5231*w**2 - 3435*w**2 + 3 - 5 as c*w**2 + i*w + h and give h.
-2
Express 122*x**2 - 9367 + 9368 - 3532*x**2 as l*x + h*x**2 + p and give p.
1
Express 491 - 491 + 49*z**2 + 171*z**2 + 561*z**2 as m*z**2 + r*z + v and give m.
781
Rearrange 3*o**3 - 5*o + 0*o**2 + 1 + 2*o**2 - 4*o**2 + 0*o**2 + 2*o**4 to w*o**4 + f*o + y*o**3 + j*o**2 + u and give y.
3
Express -643*d**2 + 206*d**2 - 973*d + 216*d**2 - 503*d + 220*d**2 - 1 in the form i*d**2 + u + p*d and give p.
-1476
Rearrange -29*n**2 + 12*n**2 - 43*n**2 + (-4*n - n - n)*((3 - 1 + 0)*(n - 4*n + n) + 1 - 1 + 2*n) to the form o*n + h*n**2 + x and give x.
0
Express -18130*j - 6231*j + 7884*j as m + s*j and give s.
-16477
Rearrange 208*z - 63*z + 503 - 503 + (1 + 3 - 2)*(2 - 2 - 4*z) to a*z + i and give a.
137
Rearrange (-105*u**3 + 105*u**3 - 20*u**4)*(-1 - 1 + 0) - 99*u**4 - 14*u**4 + 22*u**4 to the form q*u**2 + g + b*u**3 + y*u + d*u**4 and give d.
-51
Express -351*k - 4 + 65*k - 151*k + 0 - 105*k as f*k + j and give j.
-4
Express 657 + 485 + 480 + 8763*i**2 - 1620 in the form r*i + q*i**2 + j and give j.
2
Rearrange (-4*d - 3*d + 32*d)*(-3*d**3 + 3*d**3 - 2*d**3 - 6*d**2)*(-5 + 81 + 11) to the form i*d + h + k*d**2 + f*d**4 + l*d**3 and give i.
0
Express (16*k - 19*k - 212098 + 212814)*((-5*k + 2*k + 4*k)*(k**2 - 2*k**2 + 3*k**2) - 5*k + 5*k + 2*k**3) as i*k**3 + g*k**2 + x*k**4 + s*k + r and give x.
-12
Rearrange (3 - 3 - b)*(3*b - 4*b + 0*b) + 592*b**2 - 8783*b**2 - 34404*b**2 to the form i*b**2 + o + k*b and give i.
-42594
Rearrange 35*z**2 + 51*z - 32*z**2 + 45*z**3 - 1 - 44*z**3 + 3 to q*z + c*z**3 + f + t*z**2 and give t.
3
Rearrange 975*h - 1743*h + 2 - 2 to the form c*h + x and give c.
-768
Express (-128*t - 69*t - 26*t)*(-2 + 5 - 2 + (2 + 2 - 2)*(8 + 7 + 11))*(4*t - 4*t + t) in the form w*t**2 + o + h*t and give w.
-11819
Rearrange (-17 - 3*s + 61 - 28)*(s + s + s) + 2*s**2 + 7*s**2 - 2*s**2 to i*s**2 + b + f*s and give i.
-2
Express (2*x + 3*x - 4*x)*(2*x - 4*x + 3*x) + (5*x - x - 2*x)*(395*x + 11726 - 11726)*(1 - 8 + 0) in the form a*x**2 + z*x + u and give a.
-5529
Express 2 - 56355*l - 4*l**3 + 5*l**2 + 56335*l - 2*l**2 as d*l**2 + j*l + q + s*l**3 and give j.
-20
Rearrange (-z - z + 0*z)*(-10294 + 10294 + 2280*z)*(0 + 3*z + 0) to d*z**3 + c*z + m + i*z**2 and give d.
-13680
Express (-1 + 1 - 2 + (-2 + 1 + 4)*(-4 + 1 + 6))*(0*k - 5*k - 2*k)*(1 - k + 2 + 0) as x*k + h + y*k**2 and give y.
49
Rearrange (2 - 2 - 2*u)*(6765*u - 1622*u + 904*u) to l*u + d + m*u**2 and give m.
-12094
Express -64*q + 2*q**2 + q**3 - 126832 + 126832 in the form g*q + o*q**3 + l + s*q**2 and give g.
-64
Rearrange m**3 + 90*m**4 - m - 6776 - 2*m**3 + 2*m + 6779 to the form x*m**3 + p*m**4 + s*m**2 + q + z*m and give p.
90
Rearrange 40 - 535*y - 41 + y**3 + 492*y + 2*y**2 to n*y + d + f*y**3 + l*y**2 and give l.
2
Rearrange -2 + 89987*f + 2 - 59971*f to a*f + q and give a.
30016
Rearrange (2 + 2*g - 2)*(-8333*g + 3259*g - 1859*g - 6754*g) to the form o*g**2 + m + p*g and give o.
-27374
Express -2229*i + 10477*i + 6889*i + 110*i in the form w*i + y and give w.
15247
Rearrange -1115*l + 1902*l - 2 - 1169*l to the form w + n*l and give n.
-382
Express -105*v**2 - 4*v**3 + 236*v**2 - 133*v**2 - 11*v + 2 in the form t + p*v**3 + k*v**2 + o*v and give t.
2
Rearrange (s - 4*s + s)*(-492*s + 245*s - 212 + 903 + 258*s) to the form h*s + k + f*s**2 and give f.
-22
Express (44*a**2 - 6*a**2 + 3*a**2)*(-1 + 4 - 5)*(3 + 3 - 2)*(-19 + 27 - 21 + (0 - 3 + 2)*(1 - 5 + 3)) as q + s*a**2 + f*a and give f.
0
Express -2*f**2 - 3246 + 202*f + 1624 + 1616 in the form j + c*f + y*f**2 and give c.
202
Express 0*p**3 - 350*p**2 + 2*p**3 + p**4 + 916*p**2 + 945*p**2 as w*p**3 + m*p + x*p**4 + y + o*p**2 and give x.
1
Rearrange -2305*v - 1562*v - 2497*v to s + f*v and give f.
-6364
Express 0*r - 1653246*r**3 + 87*r**4 + 1653242*r**3 - r + 6*r**2 as i + l*r**3 + g*r + z*r**2 + c*r**4 and give l.
-4
Express -452 - 1318516*d + 2*d**2 + 1318516*d + d**2 in the form s*d + v*d**2 + n and give n.
-452
Express -1020 + 531 + n**2 + 2*n + 606 as b + j*n**2 + z*n and give b.
117
Express (-2 + 0 + 3)*(0*s + 3*s + 2*s) + 10683*s - 9030*s - 10934*s as r + a*s and give a.
-9276
Express -118*y - 131*y - 207*y + (3 - 5 + 3)*(y - 3*y + y) - 7 + 7 + 14*y in the form a + r*y and give r.
-443
Express -2*x**3 + 170*x + 1568 - 3230 + 1663 + x**2 in the form r*x + z*x**3 + v*x**2 + c and give v.
1
Express -2 - 374*i**4 + 169*i**4 + 207*i**4 - 3966*i**3 as p*i**2 + q + l*i**4 + c*i**3 + d*i and give l.
2
Express -3*t + 6*t - 2*t + 3*t - 14*t - 9*t - 2*t + (4*t - 2*t + t)*(2 - 1 - 3) - t + t - 3*t - 116 - 15*t + 116 in the form j*t + y and give j.
-45
Rearrange b + 445*b**3 + 19 - 3 - 899*b**3 + 453*b**3 to the form y + r*b + p*b**2 + f*b**3 and give r.
1
Rearrange (3753 + 4049 + 7624)*(2*q + 2 - 2)*(-2*q + 2*q + q)*(-2 - 2 + 5) to the form v*q + y + i*q**2 and give i.
30852
Rearrange -5913*f**2 + 5915*f**2 + 0*f + 6*f - 4*f - 3*f - 760 to b*f**2 + h + m*f and give m.
-1
Rearrange -7*v**2 + 2*v + 476*v**3 - 28*v**2 - 482*v**3 to the form u*v**2 + m*v + j*v**3 + r and give m.
2
Rearrange (4*t + 0*t - 2*t)*(3*t**2 + 1 - 1) + 6*t**3 + 120*t**3 + 31*t**3 + 0*t**3 + t**3 + 2*t**3 to v*t**2 + x*t + b*t**3 + o and give b.
166
Express -37440*l**2 + 2*l + 37439*l**2 - 3*l + l**3 + 2755 + l as b*l + w*l**3 + h + g*l**2 and give w.
1
Express (71*c - 72*c + 41*c)*(5 - 3 - 1 + 1 - 1 - 2 + (-1 - 3 + 3)*(-3 + 1 + 0) - 3 + 1 + 1 + 62 - 5 - 8) as i + y*c and give y.
1960
Rearrange (30*k - 66*k + 37*k)*(2*k - 18*k + 2*k)*(-3 - 1 + 1)*(0 + 3 - 5) - k**2 + k**2 + k**2 to the form p + g*k + c*k**2 and give c.
-83
Express (0*x - 826 - 2*x + 577)*(-3 + 0 + 2 - 3 - 3 + 4 + (-4 - 1 + 3)*(-3 + 5 + 0) + 4 + 0 - 1) in the form p + z*x and give p.
996
Rearrange z + 4951*z**2 - 7*z + 2*z - 4289*z**2 to the form n*z + s + w*z**2 and give w.
662
Express -5*u**3 - 24 - 36 - 47*u**3 - 263*u**3 + 86 in the form y*u + d + s*u**3 + p*u**2 and give s.
-315
Rearrange -2*o**3 - 56*o**2 + 2*o - 168*o**2 + 221*o**2 + 2*o**4 + 3 to the form w*o**2 + j*o**3 + x*o**4 + r + q*o and give j.
-2
Express f**3 + 63*f - 104*f + 66*f + (3*f - 6*f + 2*f)*(-4*f**2 + 4*f**2 - 4*f**2) in the form c*f**3 + n + m*f + v*f**2 and give c.
5
Express (65 + 31 - 14)*(9*l - l + 2*l)*(-l - l + 0*l)*(3 - 3 + 1) in the form v + t*l + g*l**2 and give g.
-1640
Express -1 + 0*x - 11*x**2 - 3*x**2 + 3 - 48*x + 65*x as o + i*x**2 + v*x and give o.
2
Rearrange 0*o**2 - 3*o**3 + 722*o + 12 - 720*o + 2*o**2 - 3*o**3 to the form a*o**3 + i + v*o + f*o**2 and give a.
-6
Express 3*u**3 - u**3 + 3228*u - 3125*u + (-4*u**2 - 3*u**2 + 2*u**2)*(-2*u + u - u) as q*u + c*u**3 + d + o*u**2 and give c.
12
Rearrange -2 + 78*g**2 + 675*g**2 - 2*g - 5239*g**2 to the form a*g**2 + x*g + p and give x.
-2
Rearrange (-2668*w**3 + 1292*w**3 + 1197*w**3)*(-5*w + 4 - 4) to c + g*w**4 + l*w + | {
"pile_set_name": "DM Mathematics"
} |
ller: -748491914 or -748491913?
-748491914
Which is smaller: -70538/215 or -327?
-70538/215
Are 95153/841 and 112 unequal?
True
Which is greater: 1157 or -563?
1157
Which is bigger: 1210 or 457495/378?
457495/378
Which is smaller: -4 or -141183/32948?
-141183/32948
Which is smaller: -337 or 84339?
-337
Which is smaller: 22/3083 or 365?
22/3083
Is -2824/38483 less than 1?
True
Which is greater: -10/1391023 or 1?
1
Is 0 bigger than 12/21020297?
False
Is 1 at least 489/219250?
True
Which is bigger: 4473918/13 or 344147?
4473918/13
Do -10 and -11299038 have the same value?
False
Which is bigger: -275 or 91289?
91289
Is 1 at most -65/678861?
False
Is 0.073 at least as big as 228/23?
False
Which is smaller: 7297094 or 7297091?
7297091
Are -1 and 1/912881107 equal?
False
Are 2/29758583 and 15 unequal?
True
Is -171951 greater than -171948?
False
Do -8 and 811911 have different values?
True
Which is smaller: 6/1945549 or -1?
-1
Which is smaller: -792872 or 5.07?
-792872
Is -24 less than 14471?
True
Which is smaller: 1 or -2857314.252?
-2857314.252
Which is greater: 1 or 148/37293?
1
Is 3/2903156 greater than or equal to -1?
True
Is 1/368084 at most 37?
True
Which is greater: 2106910 or -25?
2106910
Is 33014 smaller than -96?
False
Is 1/106925943 > 0?
True
Does 1109602 = 1109691?
False
Which is smaller: 101447791 or 101447786?
101447786
Is 421878 at most as big as 421859?
False
Which is smaller: 1745079 or 1745067?
1745067
Are -75972 and -75976 nonequal?
True
Is -20 at most 1.850077?
True
Is 5408245 < 5408245?
False
Which is smaller: 55650033 or 55650031?
55650031
Which is bigger: -38508/14213 or -2?
-2
Is 2 at least as big as -610/14561?
True
Which is smaller: 0 or -516/254213?
-516/254213
Which is greater: -357/73040 or -1?
-357/73040
Is -9451744/11 >= -859248?
False
Which is smaller: -2244/76595 or 0?
-2244/76595
Are 16561258 and 33122517/2 equal?
False
Which is smaller: -1103 or -93786/85?
-93786/85
Which is greater: 188 or 75896?
75896
Which is bigger: -4/83902305 or 0?
0
Is -3/10346657 bigger than 0?
False
Which is greater: 2 or -221.1957?
2
Which is greater: -1991 or -1228?
-1228
Is 7950199 greater than or equal to 7950190?
True
Do -6883022/61 and -112836 have different values?
True
Do 1881576 and 9407877/5 have the same value?
False
Which is smaller: 2/4621 or -106.9?
-106.9
Do 28673335/3 and 9557777 have the same value?
False
Are 1471/13 and 16/3 nonequal?
True
Which is smaller: -1/6 or 1/112391?
-1/6
Which is greater: -12702902 or -12702900?
-12702900
Is 361344 < 361216?
False
Which is smaller: 2.6 or -0.15307815?
-0.15307815
Is 1493186/17 at least 87835?
False
Which is greater: -2/2279375 or 0?
0
Is -0.4640565 < 2/7?
True
Which is smaller: 123989963 or 123989962?
123989962
Are -159516414 and -159516424 nonequal?
True
Which is greater: -19657244 or -19657242?
-19657242
Which is greater: -3/6025 or -7138?
-3/6025
Is -103509603 equal to -103509603?
True
Which is smaller: -122 or 25597?
-122
Which is smaller: -924820 or -924772?
-924820
Which is smaller: -13.96 or -11266?
-11266
Which is smaller: -5998/5 or -1202?
-1202
Which is bigger: 1 or -6/3056987?
1
Is 5/14186 > 3.46?
False
Which is greater: -1 or 3/32300278?
3/32300278
Is -46563775 > -46563769?
False
Which is bigger: 3130037 or 3130043?
3130043
Is -2/1719540881 > 0?
False
Which is smaller: 45146 or -0.194?
-0.194
Which is bigger: 8 or 87165.336?
87165.336
Which is smaller: -1 or -171790222?
-171790222
Is 2145448/67 > 32021?
True
Is -6786708 < -6786709?
False
Which is bigger: 2/2703 or -6477?
2/2703
Is -2663418 less than or equal to -2663414?
True
Is -668915 < -14/13?
True
Is -0.241320275 bigger than 1?
False
Which is smaller: 12197278 or 12197270?
12197270
Which is smaller: -127811552 or -127811555?
-127811555
Is -1/5 >= -1940.277?
True
Which is greater: 0 or -2/6194153?
0
Which is bigger: -1/196123315 or 1?
1
Which is bigger: 12371 or 1645342/133?
12371
Which is smaller: -4120309 or -4120315?
-4120315
Is 0 at least as big as 600/982219?
False
Which is bigger: -183058 or -182961?
-182961
Which is bigger: 274545 or -0.17?
274545
Is 2361567 at least as big as 10?
True
Which is smaller: -0.054881 or -16?
-16
Which is smaller: -39 or -35473/941?
-39
Which is smaller: -2 or -107680188?
-107680188
Which is greater: -686/71 or -41/176?
-41/176
Which is smaller: 1 or -3/17005582?
-3/17005582
Which is bigger: 0 or 4/1928629?
4/1928629
Which is smaller: 1/12235093 or 1?
1/12235093
Does -602402 = -43.6?
False
Which is smaller: -1/32307035 or 1?
-1/32307035
Is -129433 bigger than 4279?
False
Is 673072340 bigger than 673072341?
False
Does -453949 = -454572?
False
Which is greater: 108 or 298968/2731?
298968/2731
Are 451739 and 451587 unequal?
True
Is -1 smaller than 338/1791?
True
Which is smaller: 29956/1625 or 17?
17
Is -0.3 at most -0.2171009?
True
Is 937 at least -130/1259?
True
Which is bigger: 372086 or -1215?
372086
Do -3/29476474 and 0 have the same value?
False
Which is bigger: -259752 or -259429?
-259429
Does -41/11052100 = -1?
False
Is 1444 > 105343?
False
Is 29/275 at least as big as 2?
False
Is -4 at most -7604/1535?
False
Is -22554 at least -185?
False
Which is greater: -647/5 or 11198?
11198
Which is smaller: -22707651 or -22707646?
-22707651
Does -29572668 = -29572664?
False
Which is bigger: 2/5 or 11368934?
11368934
Are -1 and -2029680 equal?
False
Is 14 less than 50709/3728?
False
Is -205682 at most -205693?
False
Which is bigger: 173511 or -0.124?
173511
Is -10375870 at least as big as -10375871?
True
Which is smaller: 13609 or 13584?
13584
Which is smaller: -5967 or 620?
-5967
Is -2836498 >= -2836496?
False
Which is greater: -3060 or -792564/259?
-3060
Which is bigger: 27716077 or 27716078?
27716078
Is -10 at least as big as -26905/2446?
True
Are -3/7 and -2653429 non-equal?
True
Are 0.125624 and 0.053 equal?
False
Is -234432 equal to -234422?
False
Are 0 and -49/147960 nonequal?
True
Is 15278 less than or equal to -2053?
False
Which is smaller: -45590 or -3787?
-45590
Is -512682129 smaller than -512682128?
True
Is 3/5 bigger than 1822172?
False
Which is smaller: 1 or 3/195801631?
3/195801631
Which is greater: 11996 or 10722?
11996
Which is greater: 1039505026 or 1039505025?
1039505026
Which is smaller: 3343180/7 or 477596?
477596
Which is greater: -16/5 or -17767653?
-16/5
Which is smaller: 41054493/7 or 5864929?
41054493/7
Which is smaller: 61450 or -0.03958?
-0.03958
Is -1257355 less than -1257347?
True
Which is bigger: -1 or -938/68995?
-938/68995
Is -891799758/7 < -127399965?
True
Is -1830507 less than -27457618/15?
False
Which is smaller: 1448498 or 1448492?
1448492
Is 2/125741 greater than or equal to 0.52?
False
Which is smaller: 12320/25357 or -1?
-1
Is 6557755 at most 6557916?
True
Is -3/11161519 <= -1?
False
Which is smaller: -2902419 or -2902418?
-2902419
Which is smaller: 3/515285488 or -1?
-1
Which is greater: -3.024 or 529.1?
529.1
Is 0 at least as big as 17/7184016?
False
Which is smaller: 34 or 14402/5?
34
Which is greater: 1409/113325 or 0?
1409/113325
Is -15/42049913 less than 0?
True
Is 7 less than 14553/2393?
False
Is 0 at least as big as -3/116049356?
True
Which is smaller: 24110 or 23938?
23938
Which is bigger: -317570 or -317564?
-317564
Is 15485 < -19?
False
Is 10091 >= -1122?
True
Which is greater: -125158 or -125192?
-125158
Are -12/526259 and -1 nonequal?
True
Is 2 at most as big as -4644.1321?
False
Is 730032 smaller than 730071?
True
Do 714213836 and 714213836 have different values?
False
Do 15/265156 and 1 have different values?
True
Does -5330 = -14434?
False
Which is smaller: -2 or -15068/12527?
-2
Is -2406/204809 > 1?
False
Which is smaller: -95801 or -3736268/39?
-3736268/39
Which is smaller: 0 or -1/1666754482?
-1/1666754482
Which is greater: -1/27129817 or -1?
-1/27129817
Which is smaller: 501/99779 or 0?
0
Which is bigger: -1/7167897 or 1?
1
Is 0 less than -82/1247679?
False
Do -98 and 1902417 have the same value?
False
Which is greater: -0.05 or 13523373?
13523373
Is 287433/7 at most as big as 41063?
True
Which is bigger: 140742484 or 140742485?
140742485
Which is smaller: -9802 or -9806?
-9806
Is 6421/20761 < 0?
False
Which is greater: -0.2 or -2357362/363?
-0.2
Is -0.10195048 greater than or equal to -2/5?
True
Which is greater: -1 or -2 | {
"pile_set_name": "DM Mathematics"
} |
False
Let l(p) = p**3 - 14*p**2 - 15*p + 36. Let j be l(15). Suppose 120 = -j*q + 41*q. Is 3 a factor of q?
True
Suppose 3*f + f - 48 = 0. Suppose 0 = 5*p - p - f. Let n = p - 0. Does 2 divide n?
False
Let b = -107 + 424. Suppose 3*n - 91 = b. Suppose n = 4*x - 0*x. Does 15 divide x?
False
Suppose -7*c + 57 = 820. Let t = -69 - c. Is t a multiple of 8?
True
Let k(g) = 4*g**2 + 1. Let n be k(4). Let w be 1118/n + (-1)/5. Suppose 4*h + 56 = 4*v, -2*h + 4*h - w = -v. Does 4 divide v?
False
Suppose -2*w = 3 - 37. Is w a multiple of 4?
False
Does 35 divide (-10)/12*57*-42?
True
Suppose 0 = 17*f - 4285 - 2379. Is 19 a factor of f?
False
Let s(v) = 7*v**3 - 2*v**2 + 1. Let n(t) = -t. Let f be n(-4). Let l be 15/10*f/6. Is 6 a factor of s(l)?
True
Let y(g) = 2*g**2 + 9*g + 7. Let p be y(8). Let k = p + -122. Is k a multiple of 26?
False
Let c be 0/(-3 - -2 - 0). Suppose -2*m + 5*m - v - 97 = 0, -4*m + 5*v + 133 = c. Does 16 divide m?
True
Suppose -218 = -q - 200. Is q a multiple of 18?
True
Let v = -1305 + 2823. Does 23 divide v?
True
Let v(c) = -4*c**2 - 2*c - 1. Let o be v(-6). Suppose 0 = 199*m - 197*m - 450. Let f = o + m. Is 19 a factor of f?
False
Let c be (-2)/(-14) - (-480)/168. Does 5 divide (3 - (-492)/8)/(c/6)?
False
Let g(k) be the second derivative of k**7/840 - 7*k**6/360 - k**5/12 - k**4/3 + k**3 + k. Let f(x) be the second derivative of g(x). Is f(9) a multiple of 27?
False
Let m(n) = n**2 + 3. Let x be m(-3). Let t be 594/x - (-1)/(-2). Suppose -2*o - 2*u + 15 = -31, 3*o = u + t. Does 6 divide o?
True
Let z = -513 + 684. Is 9 a factor of z?
True
Suppose -5*v + 45 = 15. Suppose 5*n - 14 = v. Suppose -n*u + 2*u - 53 = -3*b, 0 = 2*b + u - 40. Is 10 a factor of b?
False
Let w be (-3)/(-3) + (-12)/4. Let g(o) = 7*o**2 + 5*o - 6. Let l(f) = 3*f**2 + 3*f - 3. Let q(y) = w*g(y) + 5*l(y). Does 6 divide q(-8)?
False
Let s be (-3960)/(-15)*(0 + 3). Suppose 5*p = 20, -2*x = -3*p + p - s. Suppose 5*f + 4*k - x = 0, -f + 86 = k + k. Is f a multiple of 15?
False
Let v(x) = 2*x**2 + 5*x - 27. Is 18 a factor of v(7)?
False
Let q(g) = -3*g**3 - 2*g - 1. Let m be q(-2). Let o(b) = -b**3 - 7*b**2 - b - 9. Let z be o(-7). Is (z - (-5 + 0)) + m a multiple of 10?
True
Suppose 4*c - 164 = 252. Is c a multiple of 3?
False
Let g(r) = -2*r**2 - 9*r. Let m be g(-4). Suppose -3*p - p - m*w = -256, 0 = -4*w - 16. Is 17 a factor of p?
True
Let a(x) = 5*x**3 + 46*x**2 - 3*x + 11. Is a(-6) a multiple of 11?
True
Suppose -46*t + 256 + 42524 = 0. Does 93 divide t?
True
Let f(l) = 4*l - 8. Let m(n) = 7*n**2. Let h(q) = -q + 7. Let k be h(6). Let d be m(k). Does 8 divide f(d)?
False
Suppose 5*n + 111*l - 114*l + 35 = 0, -5*l + 5 = -3*n. Let z be (-4)/(-6) - (-200)/6. Let d = z + n. Does 16 divide d?
False
Suppose 5 = -3*n - 10, 2*x = n + 5. Suppose x*m + 6 = 3*m. Suppose -m = -2*a + 5*c + 11, -4*a + 2*c + 50 = 0. Does 3 divide a?
False
Let c(n) = 3*n**2. Let u = 22 + -10. Let x be 8/56 + u/14. Is 3 a factor of c(x)?
True
Let s(p) = 176*p**2 - 8*p + 4. Does 10 divide s(1)?
False
Let h = 423 - 123. Is h a multiple of 30?
True
Let k be (20/(-6))/(18/27). Let m be ((-15)/k)/((-2)/14). Is ((-142)/(-3))/((-14)/m) a multiple of 12?
False
Let n(h) = 21*h + 31. Let q be n(5). Suppose 5*o = 3*p + 63846, 0 = -4*o + p - 0*p + 51074. Is o/q - 4/(-34) a multiple of 23?
False
Suppose 0*w - 3*b + 67 = -5*w, -5*b - 5 = 0. Is (-13 - w)/(1/67) a multiple of 3?
False
Suppose 59*w = 65*w - 2916. Does 7 divide w?
False
Suppose -2*b + 10 = 3*b. Suppose -q + 0 = n - 3, b*q - 5*n = 6. Suppose -2*h + 6*j - q*j + 56 = 0, 4*j = 16. Is h a multiple of 12?
False
Suppose -4*a = -4*z + 464, -13*z + 464 = -9*z + 4*a. Is z a multiple of 6?
False
Let f(x) = -x**3 - 22*x**2 - 21*x + 5. Let l be f(-21). Suppose 0 = -3*g + y + 17 + 44, 3*g - l*y - 77 = 0. Is 14 a factor of g?
False
Let w(j) = j**3 + 5*j**2 + 3*j - 3. Suppose 5*z + 9 = 2*z. Let r be w(z). Suppose -r*l = -3*l - 108. Does 12 divide l?
True
Suppose -1635 - 1735 = -5*h. Is 52 a factor of h?
False
Suppose -27*y + 32*y + 3*x = 4542, 4*y - 4*x = 3608. Does 26 divide y?
False
Let i(n) = 5*n - 51. Is 10 a factor of i(21)?
False
Let l = 18 - 13. Suppose -m = -l*m. Suppose -u + 3*u - 14 = m. Is 7 a factor of u?
True
Let k be ((-1)/(-1) - 3)/((-2)/(-51)). Let g = -11 + -7. Let i = g - k. Does 9 divide i?
False
Let a = -176 + 176. Suppose 55 = 5*u - 4*q, 4*u + 3*q = 14 - 1. Let i = a + u. Does 7 divide i?
True
Let h(k) be the third derivative of k**5/6 + k**4/24 - k**3 - 3*k**2 + 5. Does 11 divide h(-3)?
False
Let p(d) = -4*d**2 + 4*d + 8*d**2 - 8 - 4*d. Does 18 divide p(4)?
False
Let d be 7*(0 + 3 - (-76)/(-28)). Suppose -u - 5 = d*m - 4*m, -20 = -2*m - 4*u. Is m even?
True
Let b(g) = 12*g**2 - 2*g. Let t be b(2). Suppose 0 = n - 4*f - t, 3*n - 79 = -f + 1. Is n a multiple of 8?
False
Let j = 98 + 542. Does 64 divide j?
True
Suppose l = 5*d + 184, -7 = 5*d + 13. Suppose 26 = -3*v + l. Let o = -28 + v. Is o a multiple of 9?
True
Suppose 0 = 2*h - 4*s + 6*s, 6 = 3*s. Does 16 divide 2/((-4)/(-93)) + 3/h?
False
Let b = -275 - -447. Does 86 divide b?
True
Let v = 516 + -498. Is v even?
True
Let a(p) = -3*p + 47. Let b be a(12). Let s(f) = -f**3 - 7*f**2 - f - 2. Let m be s(-7). Let q = m + b. Is q a multiple of 6?
False
Is 777/(-7)*(-992)/48 a multiple of 11?
False
Let v = 1280 - 1230. Is v a multiple of 25?
True
Suppose -5*x + 2*h = -412, 2*x + 2*h - 5*h = 156. Suppose -31 = n + 27. Let r = n + x. Is 13 a factor of r?
True
Let d(b) = b**3 - 5*b**2. Let j(t) = 6*t**3 - 24*t**2 + 1. Let y(w) = -11*d(w) + 2*j(w). Let v be y(-7). Suppose 0 = -0*i - v*i + 84. Is i a multiple of 14?
True
Let a be (123/(-3))/(-1*1). Let h = a + -27. Is h a multiple of 14?
True
Let g(y) = 7*y**2 + 16*y - 4. Let x be g(-10). Suppose 5*m = 5*a - a - 710, 3*a - 2*m - x = 0. Is 30 a factor of a?
True
Suppose 3*b = -4*r - 0 - 3, 5*r = -b - 12. Does 5 divide 1 + 13 + b - 1?
False
Let l = 951 - 419. Is l a multiple of 14?
True
Let o(j) = -j + 10. Let m be o(5). Suppose -2*c - 2*w + 13 = m, -5*w = -20. Let v = 9 + c. Is v a multiple of 5?
False
Suppose 99 - 35 = 4*n. Suppose -2*m - 4*q + 8 = 0, 4*m + 4*q + 0*q = n. Is 3 a factor of m?
False
Let m(r) be the third derivative of 23*r**4/24 - 55*r**3/6 - 16*r**2. Is 25 a factor of m(10)?
True
Let a = 163 - -747. Does 11 divide a?
False
Suppose 0 = 4*h - 42 - 22. Let m be -3 + 24/3 - 4. Let w = h - m. Is 3 a factor of w?
True
Let n(a) = -3 - a**2 - 6*a + 2*a + 8 + 0. Let d be n(-6). Is 1/7 + (-202)/d a multiple of 12?
False
Suppose 8*c + 120 + 240 = 0. Let u = 4 - 2. Is 3 a factor of (30/c)/(u/(-21))?
False
Suppose 0 = -2*c + 23 - 59. Let n = c + 26. Is n a multiple of 4?
True
Suppose 60 = 4*u - 72. Does 14 divide u - (1*-6 + 2)?
False
Let p = 66 + -76. Let n(w) = -6*w - 2. Let i be n(-3). Let v = p + i. Is v a multiple of 5?
False
Let t = 152 + -150. Suppose -x - n + 403 = 45, 0 = 3*x - t*n - 1084. Is 18 a factor of x?
True
Suppose -4*w - 9362 = -7*w - s, -3*s = w - 3134. Is 51 a factor of w?
False
Suppose -1671 = -28*m + 5609. Is 13 a factor of m?
True
Suppose 1408 = -1316*g + 1317*g. Is 32 a factor of g?
True
Let m(o) = -54*o + 72. Is m(-7) a multiple of 45?
True
Suppose -2 = n - 5. Let p(t) be the third derivative of 25*t**4/24 - t**3/2 - 38*t**2. Does 24 divide p(n)?
True
Let l(g) = -g**2 + 259. Let c be l(0). Suppose c = 8*r - r. Is r a multiple of 25?
False
Let v = 1283 - 1155. Is v a multiple of 6?
False
Let n be (6/(-2))/(1/2). Let u(z) = 9*z**2 + 6*z. Let q(r) = r**3 - r**2 + r - 1. Let j(c) = q(c) + u(c). Does 13 divide j(n)?
False
Suppose -5*r - 4*g = -12609, -5*g - 12645 = r - 6*r. Is 84 a factor of r?
False
Suppose 0*q - 3*g - 84 = -2*q, -q = 5*g - 55. Let y be ((-27)/q)/((-2)/230). Suppose -4*n + y = -71. Is 17 a factor of n?
False
Let t be -3 - -2 - (8 - 9). Suppose -3*n + 927 = 3*z - 216, t = -3*n - 4*z + 1139. Is n a multiple of 18?
False
Let f(y) = -7 + 8*y + 3*y**2 + y**2 - 1 - 5*y**2. Does 6 divide f(5)?
False
Let v = -11 + 20. Suppose 8*t = 5*t + v. Let s = t - -4. Does 3 divide s?
False
Let d(i) = -2716*i**3 + 3*i**2 + 8*i + 6. Does 13 divide d(-1)?
True
Let m = -239 - -300. Is 43 a factor of m?
False
Let k = -652 - -1078. Is 15 a factor of k?
False
Suppose 0 = -z + 2*z - 343. Is z a multiple of 7?
True
Let l = -220 - | {
"pile_set_name": "DM Mathematics"
} |
*q - 2. Let d be (91/52)/(2*1/8). What is the units digit of h(d)?
4
Let t = 917 - 440. What is the tens digit of t?
7
Suppose 8 - 86 = -3*b. Suppose -56 = 2*s - 0*s + r, b = -s - r. Let p = 34 + s. What is the units digit of p?
4
Suppose -79*q + 236881 + 150851 = 0. What is the thousands digit of q?
4
Let s(v) = v**3 + 2*v**2 - 11*v + 46. What is the hundreds digit of s(6)?
2
Let u be (-51)/(-2)*32/12. Suppose -2*d + 304 = 2*d - 4*t, -d = t - u. Suppose -d - 32 = -4*x. What is the tens digit of x?
2
Let y(m) = -40*m + 3. Let f be y(-4). Suppose -5*n = 4*u - f, 2*u + 5*n = -3*u + 205. What is the tens digit of u?
4
Let c(n) = 29*n**2 + 20*n + 10. What is the hundreds digit of c(-10)?
7
Let m = -10 + 14. Suppose l = -2*b - 19 - 15, -m*l - 96 = -2*b. Let w = 62 + l. What is the tens digit of w?
3
Let t be (-2)/5 + (-3632)/20. Let o = 288 + t. What is the hundreds digit of o?
1
Let j(s) = s**3 - 14*s**2 + 14*s - 14. Suppose -4*g - 7 = 2*r - 41, -5*r + 71 = 3*g. Let v be j(r). What is the tens digit of (10/25)/(v/(-35))?
1
Let m = 1024 - -534. What is the units digit of m?
8
Let r(s) = s + 11. Suppose 0 = 3*z - 0 + 24. Let x = z + 0. What is the units digit of r(x)?
3
Let c(m) = 7*m**2 - 1. Suppose -16 = -s + 3*w, 14 = -s - 0*w - 3*w. Let a be c(s). Let i(x) = -x**2 + 6*x + 2. What is the units digit of i(a)?
2
Suppose 0 = -2*m - 3*m + 20. Let u = 4 + m. Suppose -4 = -3*f + u. What is the units digit of f?
4
Let m(y) = 30*y**2 - 4*y - 3. Let v(o) = o**2 - 11*o - 28. Let c be v(13). What is the hundreds digit of m(c)?
1
Let q be (-1)/(((-4)/12)/(-1)). What is the tens digit of -1 + 2 + -34*(q + 2)?
3
Let c(j) = -j**2 + 1. Let b be c(1). Suppose 0*m + 5*m = -3*i + 4, 0 = 4*m + 4*i. Suppose -3*k - 12 = b, -m*z + z = 3*k - 35. What is the units digit of z?
7
Suppose -264*h = -259*h - 345. What is the tens digit of h?
6
Suppose -5*o - n = -126, -3*o + 2*n + 74 = -12. What is the tens digit of 1642/o - 2/13?
6
Let z(r) = 11*r**2 + 5*r - 1. Let s(y) = 21*y**2 + 10*y - 1. Let b(k) = -4*s(k) + 9*z(k). What is the tens digit of b(2)?
6
Let f be 1/4 - (5 - (-748)/(-16)). Let t = 270 + f. What is the hundreds digit of t?
3
Let h(n) = -3*n**2 + 74*n - 44. Let t be h(24). Let c be (2/2)/2*4. What is the tens digit of (66/t)/(c/4)?
3
Suppose 3*l = 2*l. Suppose l = -3*p - p. Let z(a) = -a**2 + 27. What is the units digit of z(p)?
7
Let t be (6/(-18))/((-3)/18). What is the units digit of 53/2 - t/4?
6
Suppose n = -n. Let g(s) = 5 + s**2 + s + s**3 + n*s - s**2. What is the units digit of g(0)?
5
Let l(p) = 2*p**3 - 5*p**2 - 79*p + 21. What is the hundreds digit of l(12)?
8
Suppose -3*o = -8*o + 15. Suppose -29 = -4*s + 5*k, -o*s - k = -2*k - 8. What is the tens digit of s/(-4) + (-788)/(-16)?
4
Let n be -3*4/(-18) - (-69)/(-9). What is the hundreds digit of (-22)/14 - (-3)/n - -156?
1
Let o(l) = 6*l**2 + 2*l + 108. What is the tens digit of o(-11)?
1
Let g = 3 - 31. What is the units digit of 9/((-31)/g - (-3)/(-3))?
4
Let k be (-40)/(-3 + (1 - 0)). Suppose 15*z + 775 = k*z. What is the tens digit of z?
5
Suppose -9*r + 1795 = -230. What is the hundreds digit of r?
2
Suppose -2*x + 6*x - 4*p = 2232, 2268 = 4*x + 5*p. Let k = -313 + x. What is the tens digit of k?
4
Let k(p) = 2*p**2 + 11*p + 6. Suppose f = -17 + 9. What is the units digit of k(f)?
6
Let t(r) = 5*r**2 - 7 - r**3 - 8 + r + 14. Let l be t(5). Suppose -1 - 3 = -z, -l*z = 3*n - 64. What is the units digit of n?
6
Let y(s) = 3*s**3 - 5*s**2 + s - 3. Let h be y(4). Let d = h - 68. What is the tens digit of d?
4
Suppose -a + 4*p = 2*p - 3678, -3*p = 9. What is the thousands digit of a?
3
Suppose -2*d + z - 2 = -z, 4*d - 3*z + 3 = 0. What is the tens digit of (1 - (d + 3))*292/(-2)?
9
Let g be 26 + -26 + 78/2. Let k = g - 28. What is the units digit of k?
1
Suppose 0 = 4*h + 20, 5*h + 4099 = -3*b + 6*b. What is the tens digit of b?
5
Let y(r) = 40*r**2 - 9*r + 132. What is the hundreds digit of y(9)?
2
Let h(g) = -g**2 + 12*g + 16. Let x be (-67)/(-5) + (-26)/65. Let t be h(x). Suppose 0 = i - 8 - t. What is the units digit of i?
1
Let f = 1646 - 977. What is the tens digit of f?
6
Let m = -53 + 56. Suppose -i = 4*o - 83, -m*o + 5*i + 45 = -0*i. What is the units digit of o?
0
Let a be -6*(-40)/15*1. Let n = a - 13. Suppose n*x - 7*x + 164 = 0. What is the units digit of x?
1
Suppose 3*h - 3*l + 3 = 0, -5*h + 3*l = -0 - 3. Let m(s) = h + 4 + 58*s**3 + 14*s**2 - 59*s**3 + s + 2. What is the units digit of m(14)?
3
Let q(n) = 2*n - 29. Let w be q(14). What is the units digit of -2 + 49 - (-2 + w)?
0
Let d be 3/(-4) - 55/(-20). Suppose 3*b - 56 = -4*o - 13, 5*o - d*b = 71. What is the units digit of o?
3
Let n(k) = 4*k**2 + 19*k - 54. What is the hundreds digit of n(14)?
9
Let r(b) be the first derivative of b**4/4 - 2*b**3/3 - 11*b**2/2 + 9*b + 7. What is the units digit of r(6)?
7
Suppose 2*o = -8, 4*b - 1656 = 5*o - 3*o. What is the tens digit of b?
1
Suppose -16*x = -12*x - 1776. What is the units digit of x?
4
Let p(w) = -3*w**2 + w. Let i be p(1). Let m(q) = 2195 - 4398 + 2*q + 2206 + 5*q**2. What is the units digit of m(i)?
9
Suppose 28*w = 21*w + 1575. What is the tens digit of w?
2
Let f be (-8)/(-8 + 4) - -2. Suppose 214 = f*a - 46. What is the tens digit of a?
6
Let m(y) = 2*y**3 + 4*y**2 + 2*y + 2. Let n be m(-4). Let w be (-250)/n - 6/(-14). Suppose 0 = -3*k, 5*u - 141 = k + w. What is the tens digit of u?
2
Suppose -61 = 2*s + 3*m, 3*s + 3*m + 109 = 16. Suppose -2*b + 54 = -b. Let i = b + s. What is the units digit of i?
2
Let g = -106 - -101. Let r(c) = 4*c + 22. What is the units digit of r(g)?
2
Let v(s) = -73*s + 23. Let k(l) = 109*l - 32. Let j(p) = -5*k(p) - 7*v(p). Let a = -6 + 4. What is the units digit of j(a)?
7
Suppose -q - 4 = -7. Suppose q*l - 9 = 0, 2*t - l + 103 = 3*t. What is the tens digit of t?
0
Suppose -3*v - 759 = -r, 5*v = -3*r + 1413 + 920. What is the units digit of r?
1
Let r(o) = 6*o**2 + 8*o - 1. Let z = 36 - 41. What is the hundreds digit of r(z)?
1
Let s be (-6)/(-8)*(-1 + 9). Suppose -5*p - s = 4. What is the tens digit of (38/4)/(p/(-8))?
3
Let h = 8 + -4. Suppose 16*w + 20*w - 108 = 0. Suppose w*b + 3 = c, -2*b + b - 45 = -h*c. What is the tens digit of c?
1
Let g = 8 + 283. What is the units digit of g?
1
Let t(x) = 68*x**2 - 49*x + 246. What is the thousands digit of t(5)?
1
Let i(q) = -13*q + 16 + 2*q**3 + 2*q**2 - 3*q**3 + 15*q - 8*q**2. What is the tens digit of i(-7)?
5
Let v(p) = -25*p - 66. What is the units digit of v(-28)?
4
Suppose 0*z + 4*z + 100 = 0. What is the units digit of 8/(-20) + 5/(z/(-132))?
6
Let y(i) = i**2 + 3*i - 1. Let k be y(-4). Suppose -k*a - 3*v = a + 3, -5 = v. Suppose o - a - 15 = 0. What is the tens digit of o?
1
What is the tens digit of 1/6 - 97685/(-42)?
2
What is the hundreds digit of 966 - 4 - 4/(-8)*-4?
9
Let l(v) be the third derivative of v**6/120 - v**5/60 + v**4/6 - 5*v**3/6 + 2*v**2. What is the tens digit of l(4)?
5
Suppose -3*o + 0*o = -0*o. Suppose o = 2*n - s - 23 - 142, 3*s = 3*n - 246. What is the units digit of n?
3
Suppose 5*l - 9 = -4*s, -2*s = 5*l + 2 + 1. Let j be 4/6 + s/(-9). Suppose -4*b - 85 = -2*q - b, -5*q - 3*b + 160 = j. What is the units digit of q?
5
Suppose -44*f = -42*f - 4*z - 4096, -4*f - 2*z + 8212 = 0. What is the tens digit of f?
5
Let o be 17600/15 - 5/15. Suppose -3*j + 693 = 3*t, -3*t - 4*j - o = -8*t. What is the hundreds digit of t?
2
Let l = -3 - 0. Let a be 2/(-2)*(-2 + l). Suppose a*d + 0*d = 160. What is the tens digit of d?
3
Let m(v) = -65*v - 3. Let c be m(11). What is the hundreds digit of 10/(-20) + c/(-8)*2?
1
Let p be (1 - 37) + (-2 - -2). Let u = 532 + -628. What is the tens digit of (0 - -6)*u/p?
1
What is the tens digit of 124/((-64)/(-110) + (-14)/77)?
1
Let w(g) = 4*g**2 - 5*g + 3. Let o be w(5). Suppose -2*s + 2*h = 6*h + 36, 4*s = -5*h - o. What is the units digit of 0 + (-11)/(s/12)?
6
Let o(r) = 0*r - 7*r - r - 2*r + 5. What is the tens digit of o(-9)?
9
Let r be -19 - (-1)/(-1) - (1 + 0). Let t = r - -58. What is the tens digit of t?
3
Let g = -522 - -370. Let j = -81 - g. Suppose -3*n = -j - 7. What is the units digit of n?
6
Suppose -q = 4*q + 45. Let d be 2*(q/(-2) + -3). Suppose -y = 1 - d. What is the units digit of y?
2
Suppose 0 = 27*f - 1233 - 1602. Wha | {
"pile_set_name": "DM Mathematics"
} |
est value in w, r, 4?
w
Let n = -54 - -49. Let x = -0.012 - -0.076. Let q = 0.064 - x. What is the third biggest value in n, q, -1/4?
n
Let b = 1963 - 1967. What is the second biggest value in 2/9, -5, 7, b?
2/9
Suppose 3*q = 15 - 30, 0 = 4*f - 5*q - 1. Let o(t) = -9*t - 52. Let i be o(f). Which is the third smallest value? (a) 1/3 (b) -54 (c) i
c
Let s be 22/(-12) - 8/(-6)*1. Let r = -8457 + 169141/20. Which is the third smallest value? (a) s (b) -1 (c) 4 (d) r
d
Let d(z) = z**2 + 2*z - 98. Let n be d(-11). Let m be (n/(-12))/(2/4). Let f = -0.02 + -0.18. Which is the second smallest value? (a) -2 (b) f (c) m
b
Suppose -6*b - 3*b + 9 = 0. Let h be (b + 0)*(-132)/(-308). What is the third smallest value in -4, h, -2?
h
Let g be (-3)/((63/(-6))/(-7)). Let s = 12 + 69. Let i = s - 80.6. What is the fourth smallest value in 2, g, 7, i?
7
Let h = -17.1 + 17.1. What is the second smallest value in -6/5, -30, h?
-6/5
Let q be 3996/740 + 22/(-5). Which is the second smallest value? (a) q (b) -0.0987 (c) 0
c
Let f = -2929 - -2927. Which is the biggest value? (a) f (b) 14 (c) 0.3 (d) 0.1
b
Let d = -571 - -327. Let x = -239 - d. Let h(n) = -n**3 + 11*n**2 - 18*n. Let b be h(9). What is the third smallest value in x, 4, b?
x
Suppose -72 = 595*p - 603*p. What is the fourth biggest value in -3/2, 0, 22, -1/3, p?
-1/3
Let s = 2170.9 + -2022. Let j = s - 149. What is the second smallest value in -4, -5, j, 6?
-4
Let k = 0.7 + -0.5. Let o = -913 - -4567/5. Which is the third biggest value? (a) k (b) o (c) 0.01
c
Let f be ((-1025)/(-6150))/((-2)/8). Let k be ((-9)/(-8))/(3/(-4)). What is the third biggest value in k, f, 3/19?
k
Let m = 60 - 58. Let g = 2 - m. Let i = -4 - g. Which is the third biggest value? (a) i (b) 4/7 (c) -0.38
a
Let j = -941/7 - -135. Let y = 24 - 20. Let k = 32/9 - y. What is the second biggest value in k, j, -3?
k
Let l = -0.4936 - 3.5064. Let m = -4.93 + -0.07. Which is the second smallest value? (a) l (b) m (c) 4/5 (d) 12
a
Let q = -445.8 - -448.8. What is the second smallest value in q, -2/9, 47?
q
Let s = 0.1231 + -0.4231. Which is the smallest value? (a) 9 (b) s (c) 3/4 (d) -4/3
d
Let t = -14/3 + 13/3. Let x = -0.037 + 19.037. What is the second smallest value in -0.3, x, t?
-0.3
Let y = 3.199 - 0.099. Let s = 0.1 - y. What is the third smallest value in -7, -2, s, -14?
s
Let a = 158.33 + -159.33. What is the fifth biggest value in 0.3, 2, a, -1/5, 0.6?
a
Let l(w) = -w**3 - 15*w**2 - 41*w + 3. Let p be l(-11). Let r be 31/93 - (-28)/p. What is the second biggest value in r, 132, -1?
r
Suppose -h = 5*m - 319, -3*h - 4 = h. Suppose 10*j - 6*j + m = -3*u, 5*u + 72 = -4*j. What is the third biggest value in 5, -0.04, j?
j
Let y = 866 + -802.58. Let s = y + -11.42. Let w = -0.1 - 3.9. Which is the third smallest value? (a) w (b) s (c) 1/5
b
Let w = 25 - 22. Let g be 7 - w*3/3. Let t be 140/(-245) - (-34)/84. What is the second smallest value in 2, 1/4, t, g?
1/4
Let j = -3065 - -3069. Which is the third smallest value? (a) j (b) 20 (c) 5 (d) -2/3
c
Let t = -246 - -187. Let v = t - -59.2. What is the second smallest value in 2, -3, v, -3/5?
-3/5
Let q = 76.9 - 77. Let t = -438 - -560. Which is the third smallest value? (a) q (b) -2/13 (c) t
c
Let u = -0.237 - -16.337. Let x = u - 16. Which is the second biggest value? (a) 0.2 (b) x (c) 2/21
b
Let f = 0 - -0.1. Let d(y) = 39. Let q(j) = 4*j - 1. Let t(v) = -d(v) + q(v). Let m be t(9). What is the smallest value in m, f, 1/8?
m
Let f = 43.6 + 0.4. Let s = -45 + f. Suppose -9 = -2*u - u - 5*z, 5*u + 3*z = 15. Which is the biggest value? (a) s (b) 2/5 (c) 4 (d) u
c
Let a = 3701 - 3702. What is the fourth biggest value in 0.07, -1.8, 1/2, a?
-1.8
Suppose 30*v + 603 = 723. Let w = 2/237 - -460/1659. Which is the second smallest value? (a) 3 (b) w (c) -8/3 (d) v
b
Suppose 0 = -o + 2*l - 9, 4*o = 52*l - 54*l + 14. Let p = 4 + -3.7. Let t = 195 - 1363/7. Which is the second biggest value? (a) 5 (b) o (c) p (d) t
b
Let p = -0.6 - 25.4. Let y = -21.198 + -4.502. Let d = p - y. What is the biggest value in -0.1, 0.4, d, -2?
0.4
Let n = -181.1 + 61. Let w = 120 + n. Which is the fourth biggest value? (a) -2 (b) 2 (c) 1.2 (d) w
a
Let m = -4635 + 4638. Which is the fourth biggest value? (a) -2 (b) -2/11 (c) 53 (d) m
a
Let l be 2/(((-16)/6)/(-4)). Let t = -29/456 + 25/57. Which is the fourth smallest value? (a) -5 (b) l (c) t (d) 5
d
Let n = -53 - -109. Let p = n + -55. Which is the biggest value? (a) p (b) -2/9 (c) -4/5
a
Let y = -4.191 - 0.009. Let f = -6949/66 + 1160/11. What is the smallest value in -1, 3, y, f?
y
Let p = -9149 - -9154. Which is the fourth biggest value? (a) -4 (b) 3/4 (c) p (d) -0.4 (e) 1/7
d
Let g(f) = 3*f**2 + 154*f - 107. Let i be g(-59). What is the third smallest value in i, 3, -3/4?
i
Let m = -21006 + 20916. Which is the fourth biggest value? (a) 2/3 (b) 3 (c) -0.2 (d) 4 (e) m
c
Let z = -503/6 + 84. Let v be ((-2)/6)/((-182)/(-58884)). Let p = v + 108. Which is the fourth smallest value? (a) p (b) z (c) 0.1 (d) -1/6
b
Let p = 4.6396 + 0.3604. What is the smallest value in 716, p, 3/7?
3/7
Let k be (-174)/(-336) - 135/360. Which is the biggest value? (a) -8 (b) 237 (c) k (d) -1/12
b
Let w = -33 - -38. Let x = 16.2 - 16. Let l = 3.7 - 8.7. Which is the fourth smallest value? (a) 0.3 (b) w (c) l (d) x
b
Let h = 0.04107 - -1.95893. Which is the second biggest value? (a) h (b) -6/11 (c) 19/18
c
Let j = -751 + 467. Let p = 284.3 + j. Which is the third smallest value? (a) p (b) -0.6 (c) 5 (d) -3/4
a
Suppose 12 = -4*y + 4*x, -y = -2*y + 2*x - 5. Suppose 2*k = -k - 267. Let r = k - -981/11. Which is the smallest value? (a) r (b) y (c) 10
b
Let t = -445 + 449.34. Let q = t + -0.34. Let x = 39 - 44. Which is the smallest value? (a) 0.4 (b) 3/7 (c) x (d) q
c
Let z(k) = 154*k + 488. Let p be z(-4). What is the fourth smallest value in 0.4, 1, 0.1, p?
1
Let k = 538 - 309. Let c = 228.8 - k. What is the second biggest value in 1, -53, c?
c
Let l = -240.27 + 240.57. Let h = -88 - -47. Which is the smallest value? (a) -1 (b) h (c) l
b
Let z = -14314.92 + 13824. Let w = -491 - z. Let n = -2.2 - -0.2. Which is the second biggest value? (a) n (b) w (c) 0.1 (d) 5
c
Let l = -0.09888 - 0.20112. What is the third smallest value in l, 0.2, 2, -4, -2/5?
l
Let q be (12/45)/(35/((-840)/(-32))). Let t = 197 + -586/3. Which is the biggest value? (a) t (b) 2 (c) 1 (d) q
b
Let s = -13.1 - -13. Let b = -5.808 + 6.108. What is the second biggest value in 0.6, -6, b, s?
b
Let o = -5631 - -5631.2. What is the biggest value in -0.5, 0.215, -2/13, o?
0.215
Let s = -30 - -29.22. Let d = s - -0.28. Let f be (10/4)/(-7 + 104/16). Which is the third biggest value? (a) 3/2 (b) d (c) f
c
Suppose -5*h - 18 = r - 0, 0 = 2*h - 2*r. Let t be 1/1*(-1)/6. Let b = -1113 - -1112.9. What is the smallest value in h, b, t?
h
Let r = 210 + -123. Let p = r + -72. Let l be ((-51)/p - -4)/1. Which is the second biggest value? (a) -2 (b) 2/13 (c) l
b
Let h be ((-42)/112)/((-63)/840). Which is the second biggest value? (a) -7 (b) h (c) 454 (d) -4
b
Let g = 14 - 11. Let n = 24 + -18.28. Let x = n + -0.72. What is the second biggest value in -1/4, x, g?
g
Let d = 18.048 + -17.4. Let u = 128 + -128.052. Let w = u - d. What is the third smallest value in w, -1, -1/4?
-1/4
Let t = -12743/2 - -6369. Which is the third smallest value? (a) 1 (b) 0.1 (c) -0.1 (d) t (e) 3
b
Let g be 2/((-8)/4) - -1. Suppose -3*o - 12 + 6 = 3*j, -4*o - 3*j = 7. What is the third biggest value in 0.04, g, o?
o
Let r = 3357 + -3356.9. Which is the third biggest value? (a) r (b) -17 (c) -8
b
Let m = -76.96 - 1.04. Let p = m - -81. What is the third biggest value in -2/7, -5, p, 7/6?
-2/7
Let k = -116.26 - -125.26. What is the fourth biggest value in k, -13/3, 3, -3?
-13/3
Let s = 4.942105 + 0.057895. Let d = -84 - -441/5. What is the biggest value in -1, d, 0.5, s?
s
Suppose 3*o + 3*p - 10 = -o, -o = 5*p + 6. Suppose -4*n - 3*v - 205 + 250 = 0, -3*n - 2*v + 34 = 0. What is the smallest value in o, 0.3, n?
0.3
Let y = 1521/2 - 4565/6. Let r = -24.5 - -25. Which is the second biggest value? (a) r (b) -6/23 (c) y
b
Let g be (- | {
"pile_set_name": "DM Mathematics"
} |
rt(228))) - sqrt(228))/((-6*sqrt(432) - sqrt(12)) + sqrt(12))*1.
-sqrt(19)/12
Simplify sqrt(88)/(sqrt(80)/sqrt(40)) + -4 + 2.
-2 + 2*sqrt(11)
Simplify ((sqrt(7)*1)**2*-3 - (sqrt(28)/sqrt(2))/sqrt(2)) + sqrt(567) + -1 + 4*sqrt(567) + sqrt(567).
-22 + 53*sqrt(7)
Simplify 2 + sqrt(1700) + sqrt(17) + (sqrt(2057) + 0)**2 - sqrt(204)/((sqrt(84)*2)/sqrt(7)).
21*sqrt(17)/2 + 2059
Simplify 2 + (sqrt(35)/sqrt(5) + 1 + -2 - (-4 + sqrt(112) + 0))**2.
-18*sqrt(7) + 74
Simplify -1 + ((-2*1*sqrt(1584) - 3*(3*sqrt(1584) + sqrt(1584))) + 5)**2.
-1680*sqrt(11) + 310488
Simplify (5 + ((sqrt(91) + -1*sqrt(91))/sqrt(7) + 0)*1 + -1)**2.
16
Simplify (-1 + sqrt(68)/sqrt(4) - (1 + sqrt(51)/sqrt(3)) - ((sqrt(833) + 1 + sqrt(833))**2 + (0 + sqrt(2448))**2))*2*-2.
112*sqrt(17) + 23132
Simplify (1*(sqrt(76)*-3 + sqrt(76)) + (sqrt(76) - (-3 + sqrt(76) + -1)))**2.
-32*sqrt(19) + 320
Simplify (5 + sqrt(77)/sqrt(63) - sqrt(66)/(sqrt(726) - (sqrt(726) + (sqrt(726)*1 + sqrt(726) - sqrt(726) - sqrt(726) - sqrt(726) - sqrt(726)))))*-1*-1.
19*sqrt(11)/66 + 5
Simplify ((sqrt(68) + (sqrt(68) - (sqrt(68)*-5*-1 + sqrt(68) + sqrt(68))) + ((sqrt(17) - 2*sqrt(17)) + -1 - -1*1*sqrt(17)))*3)**2.
180*sqrt(17) + 15309
Simplify (sqrt(27)/(sqrt(27)/sqrt(3)) + -2 + sqrt(3) + 0)*-1*2.
-4*sqrt(3) + 4
Simplify 5 + -3*(4 + sqrt(475)*-1).
-7 + 15*sqrt(19)
Simplify 2*sqrt(117)/sqrt(144) + -3*-2*sqrt(117).
37*sqrt(13)/2
Simplify (-5*(sqrt(500) + -3))**2 - (sqrt(30)/(-4*sqrt(384)))**2.
-1500*sqrt(5) + 13030395/1024
Simplify 6*(2*(sqrt(7) + sqrt(14)/sqrt(2)) + (sqrt(14)*2)/sqrt(2)) + (4 + -1*sqrt(7) + 5)**2 + -2.
18*sqrt(7) + 86
Simplify -3*sqrt(26)/sqrt(2) + sqrt(208)/sqrt(4) + ((1*sqrt(78) - sqrt(78))*-1)/sqrt(6).
-sqrt(13)
Simplify 5*(3 + (-6*sqrt(1300)*-2 - sqrt(1300)))**2 + -4.
3300*sqrt(13) + 786541
Simplify (-4*(sqrt(35)*-2 + sqrt(35) - sqrt(35)))/(sqrt(63)*3) + -3.
-3 + 8*sqrt(5)/9
Simplify (6*sqrt(120)/sqrt(6)*-3)/(sqrt(100)/(sqrt(1440)*1)).
-216*sqrt(2)
Simplify (sqrt(70)/sqrt(2))/sqrt(7)*3*-1 + (sqrt(500)/(sqrt(20)/sqrt(2)))/(-3*(sqrt(20)/sqrt(2) + sqrt(10))).
-19*sqrt(5)/6
Simplify (4 + 1 + sqrt(80) + sqrt(80))**2 + -1 + (sqrt(180) - (sqrt(180) - 2*sqrt(180))**2) + sqrt(180).
164 + 92*sqrt(5)
Simplify 1 + sqrt(931) + -3*(-2 + sqrt(19)) - (sqrt(684) + 1*sqrt(684) + 2 - sqrt(684) - sqrt(684)).
5 + 4*sqrt(19)
Simplify (-2 + sqrt(5000))*-1*-6*5.
-60 + 1500*sqrt(2)
Simplify (-2*(sqrt(187) - -1*sqrt(187)) - -4*sqrt(187)*-2)/((sqrt(22) - sqrt(154)/(sqrt(7)*-2))/sqrt(2)).
-8*sqrt(17)
Simplify -4 + (-2 + sqrt(76))*5 + 1 + 4.
-9 + 10*sqrt(19)
Simplify ((-2 + sqrt(208))*-4 + sqrt(208) + 4 + sqrt(208) + sqrt(208) + 2 + sqrt(208))**2.
196
Simplify (-4*sqrt(525))/(sqrt(6)/(sqrt(2)*-1) + sqrt(3) - sqrt(3))*1*4.
80*sqrt(7)
Simplify (sqrt(162) + sqrt(162)*1*-1)/(3*sqrt(42)/sqrt(7)).
0
Simplify (4*sqrt(171)*-2*1)/(sqrt(9) + sqrt(36)*-6 + (1*sqrt(1296) - sqrt(1296))).
8*sqrt(19)/11
Simplify (3*(-2*sqrt(325) + sqrt(325)) + -2 - 2*((sqrt(325) - (sqrt(325) - -1*sqrt(325)*1) - sqrt(325)) + sqrt(325)))**2.
20*sqrt(13) + 329
Simplify ((sqrt(55)/(sqrt(11)*-1) - sqrt(20)/(sqrt(4) - sqrt(36))) + 0 + (2*sqrt(55)*-2)/sqrt(11)*1)**2.
405/4
Simplify (((sqrt(66)/sqrt(3))/sqrt(11) + 0 + sqrt(2) + -5)**2 + 2)*5.
-100*sqrt(2) + 175
Simplify 0 + ((sqrt(330)/((sqrt(120) + 1*sqrt(120))/sqrt(12) - sqrt(10)))/(sqrt(99)/(sqrt(27)/(sqrt(6)/sqrt(2)))))**2.
3
Simplify 3 + (-4 + -3 + sqrt(240)/sqrt(3) + 3)**2.
-32*sqrt(5) + 99
Simplify ((3*sqrt(1539) - sqrt(19)) + sqrt(19) + -5 - (sqrt(19) + sqrt(2299)*1 - (sqrt(19) - (sqrt(76) + 5) - sqrt(19))))**2.
-260*sqrt(19) + 3311
Simplify 1 + -6*(sqrt(1872) + -1)**2 + sqrt(1872)*-2*6.
-11237
Simplify (sqrt(7488) + 5*1*sqrt(7488) + sqrt(7488))/(sqrt(144)*-1 + -1*sqrt(256)).
-6*sqrt(13)
Simplify -1*(-2 + (sqrt(243) - (sqrt(243) - 4*(sqrt(243) + 4) - sqrt(243)))**2)*2.
-12658 - 2880*sqrt(3)
Simplify (((sqrt(114) + sqrt(114)*1)*-3)/(sqrt(60)/(sqrt(10) - -1*sqrt(10))))**2.
2736
Simplify (-4*((-4 + sqrt(475))*-5 - (sqrt(475) - ((sqrt(475) + 4)*-1 - sqrt(475)))))**2.
-20480*sqrt(19) + 490496
Simplify ((-2*sqrt(832) + sqrt(832))**2 + (sqrt(52) + sqrt(208)/sqrt(4) - sqrt(13))**2 + sqrt(637) + -2*(-3*sqrt(637))**2)*1.
-10517 + 7*sqrt(13)
Simplify (1 + sqrt(2)*1*2 - sqrt(16)/(-2*sqrt(800)))*2.
2 + 41*sqrt(2)/10
Simplify (-5 + ((3 + sqrt(304) + sqrt(304))*4 - sqrt(304))*1)**2.
392*sqrt(19) + 14945
Simplify -6*((-4 + sqrt(1100) + 1 + sqrt(1100) - sqrt(1100)*1*-6)*5)**2*-1.
-72000*sqrt(11) + 10561350
Simplify (6*(sqrt(5) + 1) - sqrt(5) - -2*sqrt(20)) + (5*sqrt(20)/sqrt(4) - (sqrt(10)/sqrt(2) + 4)) + 4.
6 + 13*sqrt(5)
Simplify ((sqrt(85) + -5*(sqrt(85)*-2 + sqrt(85)) + 3*(-1*sqrt(85) - sqrt(85)) + sqrt(85))/((sqrt(55) - -1*sqrt(55))/sqrt(11) + (sqrt(10)*1)/sqrt(2)))**2 + 1.
26/9
Simplify (1 + (sqrt(171) + (-1*(2 + sqrt(171)) + sqrt(171) - sqrt(171)) - sqrt(171)) + 5)**2.
-24*sqrt(19) + 187
Simplify (6*3*2*sqrt(117))/((2*sqrt(36))/sqrt(4) - (sqrt(90) + sqrt(90)*-1 + sqrt(90))/sqrt(10)).
36*sqrt(13)
Simplify (sqrt(99)*2 + 0 + sqrt(99)*2*6)**2 + (sqrt(704)*-2)/(sqrt(256) + sqrt(16)).
-4*sqrt(11)/5 + 19404
Simplify (-4*(sqrt(294) + sqrt(294)*2))/(1*sqrt(32) - (sqrt(2) - sqrt(72) - sqrt(2))).
-42*sqrt(3)/5
Simplify (sqrt(160)/sqrt(5) + 2)**2 + sqrt(128)*-2 + 4.
40
Simplify ((sqrt(220)*-2 + sqrt(220))/(sqrt(40)/sqrt(128)))**2 - -4*(sqrt(176) + 2*sqrt(176)*4).
144*sqrt(11) + 704
Simplify 3*(0 + sqrt(7)) + -2 - (-5*(-1 + sqrt(7))*2)**2.
-802 + 203*sqrt(7)
Simplify (4*(sqrt(972) - -2*sqrt(972)) + sqrt(972) + sqrt(972))/((sqrt(4) + sqrt(16)/sqrt(4))*-5*-6).
21*sqrt(3)/10
Simplify (sqrt(18)/(sqrt(12)/sqrt(2)) + sqrt(3) + -5 + sqrt(3)*-4)*-3.
6*sqrt(3) + 15
Simplify (sqrt(784) + (sqrt(784)*-1 - sqrt(784)))/((sqrt(49) + (sqrt(49) - (sqrt(49) - sqrt(784))))/sqrt(7))*-4.
16*sqrt(7)/5
Simplify (-4 + sqrt(28) + sqrt(112)/sqrt(4) + 5)*-4.
-16*sqrt(7) - 4
Simplify ((3*sqrt(512) - sqrt(512))/(-2*sqrt(576)) + 5)**2.
-20*sqrt(2)/3 + 233/9
Simplify (sqrt(49) + 1*sqrt(49)*-1 - -3*-2*sqrt(49))/((1*sqrt(126)/sqrt(2))/sqrt(9)).
-6*sqrt(7)
Simplify -1*(-3*(sqrt(980) + sqrt(980) + -1 + -4))**2.
-35505 + 2520*sqrt(5)
Simplify -2*((4 + sqrt(1088) + -1)**2 - ((2*sqrt(85))/sqrt(5) + sqrt(17) + (-1 + sqrt(1377))**2)).
-126*sqrt(17) + 562
Simplify -3 + (sqrt(17) + sqrt(85)/(sqrt(5) + sqrt(80) - sqrt(5) - sqrt(5)))**2*1 + ((sqrt(119)/sqrt(112))**2 - (sqrt(1377) + -1 + sqrt(1377) - sqrt(17))).
-17*sqrt(17) + 4217/144
Simplify -2*(sqrt(363) - 2*sqrt(363)) + sqrt(363) + sqrt(363) + -2*(1 + sqrt(363))**2 + 1.
-727
Simplify ((sqrt(119)*-2 - sqrt(119))*-1 + sqrt(119))/(sqrt(21)/sqrt(108)).
24*sqrt(17)
Simplify ((sqrt(216) + (1*sqrt(216) - sqrt(216)) - sqrt(216))/sqrt(9))/(sqrt(132)/(sqrt(22)/sqrt(2)) + sqrt(12)) + -3 + -1.
-4
Simplify (-2 + sqrt(425) + sqrt(187)/(2*sqrt(11)))**2 + sqrt(153)/(3*sqrt(576)).
-527*sqrt(17)/24 + 2073/4
Simplify (-2*sqrt(275))**2 + sqrt(11) + 1 + 4 + (sqrt(11) + -1 + -4 - sqrt(121)/(3*sqrt(11)))**2.
-17*sqrt(11)/3 + 10214/9
Simplify (-1*sqrt(133)*2*2)/((sqrt(252)*-2 - sqrt(252))*-1).
-2*sqrt(19)/9
Simplify 4*5*(-4*(3 + sqrt(13)) - (sqrt(637)*-3)**2).
-114900 - 80*sqrt(13)
Simplify 5*-2*(2 + (-4*sqrt(117))**2) + 1.
-18739
Simplify (sqrt(66) + (sqrt(66) + (sqrt(66) - sqrt(66)*-4))*1)/(sqrt(6) - 4*sqrt(6)*-3) + 5.
7*sqrt(11)/13 + 5
Simplify ((-2 + sqrt(44))*-2 + 5)**2*-6.
-1542 + 432*sqrt(11)
Simplify ((sqrt(2057) - (sqrt(2057) + -2))*3 - (-1 + sqrt(2057)*-1))**2 + -4.
154*sqrt(17) + 2102
Simplify -1*((sqrt(133) + (sqrt(133)*-1*-6 + sqrt(133) + sqrt(133) - sqrt(133)) - sqrt(133))/sqrt(7) + 0) + -3.
-7*sqrt(19) - 3
Simplify 1 + sqrt(38)/(sqrt(2) + (3*sqrt(18))/sqrt(9)) + 2 + -5 + (2 + sqrt(19))**2.
17*sqrt(19)/4 + 21
Simplify -5*(0 + (5*(0 + sqrt(28)) - (sqrt(2800)*-2 - sqrt(2800)))).
-350*sqrt(7)
Simplify (6*sqrt(135)/sqrt(9))/((sqrt(55) - sqrt(880))/sqrt(11)).
-2*sqrt(3)
Simplify (-5*(sqrt(1377) - -3*sqrt(1377)))**2 - (sqrt(1377) + (2 + sqrt(1377))*5)**2.
-1080*sqrt(17) + 501128
Simplify 2 + -5*(2 + sqrt(19)*2 - (sqrt(228) - -1*sqrt(228) - sqrt(228))/sqrt(12) - (sqrt(1900) + (-6*2*sqrt(1900) + sqrt(1900) - sqrt(1900)))**2).
-5*sqrt(19) + 1149492
Simplify (5*sqrt(160) - sqrt(160))/(sqrt(56)/(sqrt(56)/sqrt(8))).
8*sqrt(5)
Simplify (5 + 5*(sqrt(19) - (sqrt(76) + -4)))**2 + 0 + sqrt(19) + -2 + ((sqrt(228)/sqrt(6))/sqrt(2))** | {
"pile_set_name": "DM Mathematics"
} |
- 302 = 60, -5*v = 2*u - 235. Let a = 28 - 13. Calculate the greatest common divisor of a and u.
15
Suppose 18 = 3*u - 36. What is the highest common divisor of u and 18?
18
Suppose -2*o = 4*r - 60, -o + 5*r + 65 = -0*o. What is the highest common divisor of 100 and o?
20
Let q be 5/2*8/10. Suppose q*a - 56 = -5*y, -6*a + a = y - 2. What is the highest common divisor of y and 12?
12
Let d be 255/10*4/6. Suppose -4*s = -5*j + 15 + 10, -s = -2*j + 7. Suppose d = a - j. Calculate the greatest common divisor of 27 and a.
9
Let l be (-5 - -13)/((-2)/(-1)). What is the highest common factor of l and 8?
4
Let z = 129 + -69. Let h be z/(1 - (3 - 3)). Calculate the greatest common factor of h and 12.
12
Suppose 5*i = 2*q + 321, -4*i - 9*q + 270 = -4*q. Let s = 4 - 1. Suppose s*a = 8*a - i. What is the highest common divisor of a and 65?
13
Let g be 16/(-6)*(-6)/4. Let s(c) = -7*c + 1. Let f be s(-4). Let l be f - ((-4)/2 + -1). Calculate the highest common factor of l and g.
4
Suppose 11*r = 7*r + 196. Suppose -7*n + 49 = -r. What is the highest common factor of 28 and n?
14
Suppose 3*h + 30 = 5*h. Calculate the highest common divisor of h and 25.
5
Let d = 25 - 16. Let i = d - 0. What is the highest common factor of 9 and i?
9
Let x(m) = m**2 + 3*m + 2. Let l be x(-3). Suppose -l*q + q + 2 = 0. Suppose -5*u - 17 - 4 = -s, 3*u = -s - 11. Calculate the highest common factor of q and s.
1
Let m = -44 - -55. Calculate the highest common factor of m and 121.
11
Let h(k) = 2*k**2 - 5*k - 1. Let x be h(4). Let n = -82 + 170. What is the greatest common factor of x and n?
11
Let y(c) = -c - 16. Let p be y(0). Let f be 6/((-51)/p + -3). Calculate the greatest common factor of f and 80.
16
Let j(v) = 7*v**2 - 6*v + 6. Let h be j(2). Let p(c) = -50*c + 4. Let t be p(-3). What is the highest common divisor of h and t?
22
Let p be 2 + 0 + (1 - 0)*229. Calculate the greatest common divisor of p and 33.
33
Let z(q) = -2*q**2 + 21*q - 2. Let v be z(9). Calculate the highest common divisor of v and 25.
25
Let x(t) = -t**3 + 10*t**2 + 11*t + 4. Let p be -11*(3 - (2 - -2)). Let r be x(p). Calculate the highest common factor of 6 and r.
2
Suppose 0*q = 5*q - 10. Suppose 3 = q*z - 15. Suppose -25 = -5*r, 0 = -v - v - r + z. Calculate the greatest common factor of 8 and v.
2
Suppose -53 = -5*g + 287. Let b = g + -13. Suppose x = -3*x + 44. Calculate the highest common factor of b and x.
11
Let j = 351 - 171. Suppose -3*b + p + j = 0, 2*p - 120 = -2*b - 0*b. What is the greatest common divisor of b and 12?
12
Suppose 2*h = 6*h - 136. What is the highest common factor of h and 51?
17
Let v(p) = p**2 + 4. Let i = -11 - -15. Let o be v(i). What is the greatest common factor of 4 and o?
4
Let y = 52 + -14. Calculate the highest common divisor of 57 and y.
19
Let w = 222 + -157. Suppose 0*f - 4*f - 5*r = -w, -f - 2*r + 17 = 0. Let u = -5 - -8. What is the highest common divisor of u and f?
3
Let q(g) = 3*g**2 + 4*g + 5. Let l be q(5). Calculate the highest common divisor of 25 and l.
25
Let s(k) = 33*k**2. Let t be s(-2). Calculate the highest common divisor of t and 12.
12
Suppose 0 = -5*k + k + 176. Calculate the highest common factor of k and 22.
22
Suppose -8*p = -2*p - 648. Suppose p = 5*j - 2*j. What is the greatest common factor of 24 and j?
12
Suppose -d + 1 = -2. Suppose -3*x - d = -12. Suppose -2*i - 8 = 0, -x*q + i = -0*q - 37. Calculate the highest common divisor of 1 and q.
1
Let w be ((-3)/(45/1280))/((-1)/3). Calculate the greatest common factor of 32 and w.
32
Let h be (-750)/(-11) + (-10)/55. Calculate the greatest common divisor of h and 102.
34
Let o(r) = 5*r**2 - 5*r + 1. Let q = 2 - -2. Let d be o(q). Suppose 0 = -h - 5*u + 36, d + 11 = 2*h + 5*u. What is the highest common factor of h and 9?
9
Suppose 3*o = 5*l + o, -5*l = 3*o. Suppose 0 = -l*w - w + 28. Let i be ((-12)/(-9))/((-1)/(-3)). Calculate the greatest common divisor of w and i.
4
Let x(r) be the first derivative of -2/3*r**3 + 3*r**4 - 1/2*r**2 - 1 - 2*r. Let j be x(2). What is the greatest common factor of 12 and j?
12
Let g(l) = l**2 + 4*l - 3. Let y be g(-5). Suppose 4*d + 5*i - 388 = 0, -d + 0*d - y*i = -100. What is the greatest common factor of d and 23?
23
Let q be (-1)/3*3*-24. What is the greatest common divisor of q and 54?
6
Let y(z) = -25*z**3 - 5*z - 2. Let k be y(-2). Calculate the greatest common factor of k and 13.
13
Let q be ((-45)/(-20))/(1/20). Suppose -3*g - 85 = 5*c, -2*c - 3 - 1 = 0. Let d be ((-6)/5)/(1/g). Calculate the highest common divisor of q and d.
15
Suppose -k = -4*z + 84, 2*k - 14 = 2*z - 56. Let t be 1 - 1 - (-4 - 17). Calculate the highest common divisor of z and t.
21
Suppose -2*u + 44 = 2. What is the highest common factor of 21 and u?
21
Let a(j) be the first derivative of -11*j**2/2 - 4*j - 3. Let g be a(-5). Calculate the greatest common divisor of 17 and g.
17
Suppose 0 = -2*c + 4*c + 4*t - 14, -2*t = 0. Calculate the highest common factor of 7 and c.
7
Suppose 7*w - 2*w = 4*i - 23, 3*i = 2*w + 26. Let f be (0 - (3 - 4)) + 107. What is the highest common factor of f and i?
12
Let i(r) = r**2 - 8*r + 19. Let s be i(7). Calculate the highest common factor of s and 156.
12
Suppose -2*c - 8 - 6 = 0. Let v be 2/(-7) + (-58)/c. What is the highest common factor of v and 80?
8
Let m = 3 - 1. Calculate the highest common divisor of 1 and m.
1
Suppose -3*f + 5*w + 380 = 0, f - 16*w + 13*w - 124 = 0. Suppose -n = 4*x - 52, 5*n + 3*x - 260 = 4*x. Calculate the highest common divisor of f and n.
26
Suppose -3*f + 57 = 4*n, 2*n - 36 = -2*f - 0*f. Calculate the highest common divisor of 135 and f.
15
Let q be 7 + -2 + -3 - 2. Suppose -m - 2*m = q. Suppose m*l + 4*l + 315 = 3*u, -l = 3*u - 315. What is the greatest common factor of u and 42?
21
Suppose -86 = -4*u + 74. What is the highest common divisor of 4 and u?
4
Suppose 3*m + 24 = 4*m. Calculate the greatest common divisor of m and 96.
24
Suppose -r + 156 = -0*r. Let c = -111 + r. What is the highest common factor of c and 15?
15
Suppose 0 = -5*s + 4*n + 785, -s + 3*n = -106 - 62. Suppose 35 = 2*j + t, 0*t - 52 = -3*j - t. What is the greatest common divisor of s and j?
17
Let u(t) = -6*t**2 + 25. Let j(r) = -r**2 - r. Let h(q) = 5*j(q) - u(q). Let l be h(18). Calculate the greatest common factor of l and 19.
19
Suppose 3*r + 22 = -u, r + 0 = -2. Let l be (-64)/(u/4) - -3. Calculate the highest common factor of 95 and l.
19
Let v(t) = -2*t + 1. Let d be v(-6). What is the greatest common divisor of 52 and d?
13
Let i(p) = 3*p**2 + 13*p - 9. Let a be i(-6). Let f be (-1 - 0) + -1 + 5. Calculate the highest common factor of f and a.
3
Suppose -2*f = -4*f + 6. Suppose -c + 3 = 6, -4*n = -f*c - 129. Suppose t = 3*t - 90. Calculate the greatest common divisor of t and n.
15
Let u(w) = 16*w + 10. Suppose -3*j = 2*j - 45. Let n be u(j). Let k(t) = 15*t**2 + t. Let f be k(-1). What is the highest common factor of f and n?
14
Let p(m) = 3*m**3 + m**2 - 4*m + 8. Let y be p(2). Calculate the highest common divisor of y and 70.
14
Let n = 52 - -8. Calculate the greatest common divisor of 12 and n.
12
Suppose -3*j - 60 = -3*a, 5*a + 2*j = -0*j + 72. Suppose z - 161 = 5*m, 2*m - m = -2*z + 355. Calculate the greatest common factor of a and z.
16
Suppose -3*v = -v - 40. What is the greatest common divisor of 10 and v?
10
Let h be 24/16 - 15/(-2). What is the greatest common divisor of h and 36?
9
Let i = -22 - -7. Let f be (-3)/i + (-1482)/(-15). Calculate the highest common factor of f and 11.
11
Let x = 50 + 60. What is the greatest common factor of 22 and x?
22
Let f(w) = w**2 - 1. Let d be f(2). Calculate the highest common divisor of d and 27.
3
Let n be (-2 - -1)*5*-1. Let v(m) = -3*m**3 - 3*m**2 + 5*m + 13. Let l be v(-2). Calculate the greatest common factor of n and l.
5
Suppose -3*i = i. Suppose 0 = -2*v + 3*o - i*o + 16, -v + 34 = 5*o. Calculate the highest common divisor of v and 56.
14
Suppose 5*o + 2 + 28 = 0. Let b be 126/(o/2)*-1. Let r(v) = -v**3 + 3*v**2 + 2*v. Let l be r(3). Calculate the greatest common divisor of l and b.
6
Let b = -32 - -41. Suppose t + 50 = 5*c - 4*t, 2*t + 11 = c. What is the highest common divisor of c and b?
9
Let i(f) = -f**3 + 5*f**2 + 2*f - 4. Let h be i(5). Let l = h - 0. Calcul | {
"pile_set_name": "DM Mathematics"
} |
Let v(u) be the third derivative of 5/77*u**7 - 3/11*u**4 + 0 - 30*u**2 + 23/55*u**5 + 0*u - 3/11*u**6 + 1/11*u**3. Factor v(a).
6*(a - 1)**2*(5*a - 1)**2/11
Let x(g) be the first derivative of -g**5/30 - 11*g**4/24 - 2*g**3 - 4*g**2/3 + 32*g/3 - 142. Factor x(m).
-(m - 1)*(m + 4)**3/6
Determine k so that 47/3*k**3 - 140/9*k**4 + 0*k - 2*k**2 - 196/3*k**5 + 0 = 0.
-2/3, 0, 3/14
What is r in -5*r**2 + 20/3 - 25/3*r - 5/3*r**4 + 25/3*r**3 = 0?
-1, 1, 4
Factor 28*t - 503*t**2 + 467*t**2 + 4*t**4 - 8*t**3 + 44*t.
4*t*(t - 3)*(t - 2)*(t + 3)
Let s(l) be the second derivative of l**6/10 + l**5/2 - 11*l**4/9 - 44*l**3/9 - 16*l**2/3 + 3*l + 1. Find t, given that s(t) = 0.
-4, -2/3, 2
Let x(r) be the second derivative of r**9/37800 + r**8/5600 + r**7/2100 + r**6/1800 + 3*r**4/4 + 12*r. Let g(j) be the third derivative of x(j). Factor g(o).
2*o*(o + 1)**3/5
Let h(j) = -j**2 - 5*j + 4. Let o be h(-5). Suppose 4*z - 3*i - o = 0, -i + 12 = z + z. Factor 5*w**2 - 5*w**z + 2*w**3 + 14 - 2*w - 14.
-w*(w - 1)*(w + 1)*(5*w - 2)
Let v(p) be the second derivative of -p**5/120 - p**4/12 - p**3/4 + 11*p**2/2 + 26*p. Let d(l) be the first derivative of v(l). Find t, given that d(t) = 0.
-3, -1
Let k(b) = 9*b**4 + 297*b**3 + 291*b**2 - 309*b - 264. Let d(j) = -8*j**4 - 298*j**3 - 292*j**2 + 308*j + 270. Let n(r) = -6*d(r) - 5*k(r). Factor n(l).
3*(l - 1)*(l + 1)**2*(l + 100)
Let j(w) be the second derivative of -w**5/20 + w**4/6 + w**3/2 + 7*w. Factor j(f).
-f*(f - 3)*(f + 1)
Let y(z) be the second derivative of -z**5/150 - z**4/45 - 85*z - 1. Factor y(g).
-2*g**2*(g + 2)/15
Let s = -180 - -192. Let b be 5/s - (-5)/(-30). Factor b*z**2 + 1/4*z**3 + 0 + 0*z.
z**2*(z + 1)/4
Let c(z) be the first derivative of z**7/98 + z**6/280 - z**5/35 + 3*z**2 + 23. Let k(h) be the second derivative of c(h). Factor k(q).
3*q**2*(q + 1)*(5*q - 4)/7
Let j = 1043 - 1041. Suppose -6/17*k**j + 16/17*k - 8/17 = 0. Calculate k.
2/3, 2
Let i(p) be the second derivative of p**8/10080 + p**7/1260 - p**4/6 - 17*p. Let b(s) be the third derivative of i(s). Solve b(k) = 0.
-3, 0
Find q such that 2250*q + 5*q**5 + 43 + 592*q**2 - 335*q**3 + 5*q**4 - 63 - 117*q**2 + 20 = 0.
-9, -2, 0, 5
Let o be ((-374)/55 + 8)*(-9)/(-6). Factor -9/5*n**4 + 9/5*n + 6/5 - o*n**2 - 21/5*n**3.
-3*(n + 1)**3*(3*n - 2)/5
Solve -1/6*m**2 - 9075/2 + 55*m = 0 for m.
165
Let u = -86 - -199. Let z = u - 110. Factor 0*x + 0*x**2 + 0 + 2/7*x**z.
2*x**3/7
Let j(w) be the second derivative of -w**4/4 - 4*w**3 + 27*w**2/2 - 2*w + 1. Solve j(c) = 0 for c.
-9, 1
Factor -49/3 - 1/3*b**2 + 50/3*b.
-(b - 49)*(b - 1)/3
Let c be 1/(-2*(-2)/(-12)). Let q be c - 2*(-7)/2. Solve 3*m**2 - 12*m**4 + 6*m**q + 3*m**2 + 21*m**5 - 21*m**3 = 0.
-1, 0, 2/7, 1
Let k be ((-12)/9)/(-2*21/9). Suppose -5 = -4*q + 3. Determine i, given that -k*i**3 - 2/7*i + 4/7*i**q + 0 = 0.
0, 1
Let d(c) = -2*c**2 + c - 1. Let r(l) = l**2 + 5*l - 12. Let p(w) = -12*d(w) + 4*r(w). Let p(n) = 0. Calculate n.
-9/7, 1
Let k(q) be the third derivative of -7/330*q**5 - 11*q**2 - 1/132*q**6 + 1/66*q**4 + 0 + 0*q + 4/1155*q**7 + 0*q**3. What is o in k(o) = 0?
-1, 0, 1/4, 2
Let z(a) be the second derivative of -a**7/420 + a**6/60 - a**5/20 + a**4/12 + 7*a**3/6 - 12*a. Let o(n) be the second derivative of z(n). Factor o(u).
-2*(u - 1)**3
Let z(c) be the first derivative of 2/9*c**3 + 0*c - 35 + 7/3*c**2. Let z(h) = 0. Calculate h.
-7, 0
Let p be ((-8)/(-14))/(-5 - 742/(-98)). Solve 14/9 + p*k**3 + 2*k**2 + 10/3*k = 0 for k.
-7, -1
Let b(j) = -j**2 - 3*j. Suppose -12 = -o + 2*y, 4*o - 13 = -2*y + 5. Let t(z) = -8*z**2 - 24*z + 1. Let q(g) = o*t(g) - 51*b(g). Factor q(m).
3*(m + 1)*(m + 2)
Let y(w) be the first derivative of -w**7/70 - w**6/60 + w**5/60 + w**2 - 1. Let a(h) be the second derivative of y(h). Suppose a(m) = 0. What is m?
-1, 0, 1/3
Let h(a) = 1. Let p(l) be the second derivative of 20*l**4/3 - 20*l**3/3 + l**2/2 - 11*l. Let s(b) = 4*h(b) + p(b). Factor s(x).
5*(4*x - 1)**2
Suppose 3*a = -4*m + 169, -5*a = -5*m + 289 - 34. Suppose m*x = 33*x. Determine l, given that -5/3*l**4 + 5/3*l**2 + x*l**3 + 0*l + 0 = 0.
-1, 0, 1
Let z(b) = -2*b**2 - 244*b. Let v(w) = w**2 + 2*w. Let h(a) = 6*v(a) + z(a). Factor h(d).
4*d*(d - 58)
Let k(w) be the first derivative of 1/18*w**4 - 2/27*w**3 + 0*w**2 + 0*w + 15. Factor k(x).
2*x**2*(x - 1)/9
Let j(p) = -16*p**2 + 20*p. Let r(c) = c**3 + 2*c**2 - 2*c. Let l(b) = -2*j(b) - 4*r(b). Find a such that l(a) = 0.
0, 2, 4
Let j = 9231 - 36921/4. Find p, given that j*p**3 + 9/4*p**2 - 3/4*p**4 + 3/2 - 15/4*p = 0.
-2, 1
Factor -c**5 + 100*c**2 + 994*c - 6*c**4 + 19*c**3 - 4*c**3 - 994*c.
-c**2*(c - 4)*(c + 5)**2
Let h be -1 - (-931)/(-95) - -12. Suppose 4/5*v - h + 2/5*v**2 = 0. Calculate v.
-3, 1
Let p(c) be the first derivative of 4*c**3/3 + 22*c**2 + 40*c - 339. Factor p(z).
4*(z + 1)*(z + 10)
Factor -15/8 - 1/8*f**2 - 2*f.
-(f + 1)*(f + 15)/8
Let o(q) be the first derivative of q**6/120 - q**5/40 - q**4/4 + 10*q**3/3 - 20. Let l(p) be the third derivative of o(p). Let l(n) = 0. What is n?
-1, 2
Let p(b) be the third derivative of b**6/60 - b**4/4 - 2*b**3/3 + 540*b**2. Solve p(k) = 0 for k.
-1, 2
Let r(i) be the third derivative of -i**5/20 - 55*i**4/8 - 53*i**3 + 74*i**2. Determine q, given that r(q) = 0.
-53, -2
Let v = 244/3 + -730/9. Factor -4/9*b**2 - 2/9*b + v*b**4 - 2/9*b**5 + 4/9*b**3 + 2/9.
-2*(b - 1)**3*(b + 1)**2/9
Suppose 61*q + 40 = 57*q + 12*h, 6 = -q + 2*h. What is j in q*j**2 + 0 - 2/5*j**3 + 12/5*j = 0?
-1, 0, 6
Let h(m) = 2*m**3 + 12*m**2 + 19*m + 4. Let u(w) = w**3 + 6*w**2 + 9*w + 2. Let a(y) = 3*h(y) - 5*u(y). Let t(g) be the first derivative of a(g). Factor t(r).
3*(r + 2)**2
Factor 3*p**2 + 15 + 10 - 40 - 12*p.
3*(p - 5)*(p + 1)
Let g be (-8)/(-76) - (-279)/57. Let q(i) be the first derivative of -3/2*i**2 - 9/4*i**4 + 7 + 0*i + 3/5*i**g + 3*i**3. Factor q(u).
3*u*(u - 1)**3
Let o be ((-56)/98 - 32/(-7))/2. Let 95/4*q**3 + 13*q - 57/2*q**2 - o - 25/4*q**4 = 0. What is q?
2/5, 1, 2
Let s = -3080 - -3080. What is u in 3/5*u**2 + 12/5*u**3 + s - 12/5*u - 3/5*u**4 = 0?
-1, 0, 1, 4
Determine d, given that -7*d**2 + 9/2*d**4 + 4 + d**5 + 7/2*d**3 - 6*d = 0.
-2, 1/2, 1
Let t = 86 - 112. Let h be (-18)/27*54/t. Let 32/13*c + h*c**3 + 8/13 + 42/13*c**2 = 0. What is c?
-1, -2/3
Solve -20*o**3 + 30*o**3 - 2890 + 233*o - 1338*o - 15*o**3 + 160*o**2 = 0 for o.
-2, 17
Let g(i) be the first derivative of -3*i**3 + 63*i**2/20 + i - 78. Determine v so that g(v) = 0.
-2/15, 5/6
Let n(s) = 3*s**4 + 2*s**3 - 6*s - 1. Let b(d) = -7*d**4 - 4*d**3 + 14*d + 2. Let p(l) = -2*b(l) - 5*n(l). Factor p(c).
-(c - 1)*(c + 1)**3
Factor 159 - 4*g**2 + 17 + 180*g - 4*g**2 + 12*g**2.
4*(g + 1)*(g + 44)
Let p(f) be the third derivative of f**6/180 - f**5/10 - 7*f**4/12 - 11*f**3/9 - 37*f**2 + f. Suppose p(d) = 0. Calculate d.
-1, 11
Let w(y) = 9*y - 33*y + 16*y + 9*y - 2. Let z(h) = -h**2 - 8*h - 1. Let v(i) = 2*w(i) + z(i). Let v(q) = 0. Calculate q.
-5, -1
Let c(g) be the second derivative of 0 + 3*g + 3/8*g**2 + 5/48*g**4 - 3/80*g**5 + 11/24*g**3. Factor c(r).
-(r - 3)*(r + 1)*(3*r + 1)/4
Determine c so that -104/7*c**2 - 64 - 440/7*c + 2/7*c**3 = 0.
-2, 56
Let q(h) be the second derivative of h**8/84 - 8*h**7/105 + h**6/5 - 4*h**5/15 + h**4/6 - 7*h**2/2 - 3*h. Let z(c) be the first derivative of q(c). Factor z(s).
4*s*(s - 1)**4
Let y(j) be the third derivative of 1/15*j**6 + 0 + 2/15*j**5 - 13*j**2 - 1/12*j**3 + 0*j - 1/48*j**4. Solve y(k) = 0 for k.
-1, -1/4, 1/4
Let o be 6/(-45) + (-48)/(-10). Let -8/15 - 118/15*c**2 - 56/15*c - o*c**3 = 0. What is c?
-1, -2/5, -2/7
Let w = -227 + 232. Let y(x) be the second derivative of 0*x**2 + 1/70*x**w + 5*x + 0 + 1/21*x**3 - 1/21*x**4. Suppose y(v) = 0. What is v?
0, 1
Let k be -1 - -9 - (-5)/((-50)/30). Let l(f) be the third derivative of -1/180*f**k + 0 - 1/6*f**3 + 0*f + 2*f**2 - 1/18*f**4. Let l(c) = 0. What is c?
-3, -1
Let y be (-40)/(-14) + -3*4/(-84). Factor 77*q - 8*q**y + 0*q**2 + 0 - 85*q - 12*q**2 - 2*q**4 - 2.
-2*(q + 1)**4
Suppose 13*q - 29 = -4*c + 10*q, 5*c + q = 17. Factor -56/15*h - 4/5*h**3 + 8/15 + 10/3*h**c.
-2*(h - 2)**2*(6*h - 1)/15
Let n(j) be the third derivative of j**7/70 + j**6/15 - 2*j**5/45 - 4*j**4/9 + 8*j**3/9 + 48*j**2. Factor n(z).
(z + 2)**2*(3*z - 2)**2/3
Let h = | {
"pile_set_name": "DM Mathematics"
} |
8*k(z)?
-2*z**3 - 3
Let d(f) = -2*f + 31. Let q(l) = 4*l - 63. Determine 11*d(x) + 6*q(x).
2*x - 37
Let x(g) = -4*g + 8. Let a(d) = -4*d + 6. Calculate 5*a(r) - 6*x(r).
4*r - 18
Let z(s) = -6*s**3 + 8*s + 477. Let y(i) = i**3 - i + 1. Determine -8*y(c) - z(c).
-2*c**3 - 485
Let j(i) be the third derivative of -i**5/30 - i**4/8 + 3*i**2. Let m = -78 + 70. Let a(u) = -5*u**2 - 8*u. Determine m*j(v) + 3*a(v).
v**2
Let u(b) = -49. Let s(y) = 9. Let p(n) = 11*s(n) + 2*u(n). Let x(j) = 7*j - 3. Give 5*p(m) + x(m).
7*m + 2
Let p(c) = 15 + 5 - 26 + 7. Let l(d) = -8*d. Let h(v) = -15*v - 1. Let a(k) = 6*h(k) - 11*l(k). What is -a(x) - 3*p(x)?
2*x + 3
Let b be -1*12/30 + (-12)/(-5). Let m(x) = 3*x - 2. Let t(p) = 4*p - 2. Determine b*t(k) - 3*m(k).
-k + 2
Let q(x) = 3466*x**2 + 132*x + 22. Let u(z) = -495*z**2 - 18*z - 3. Determine 6*q(v) + 44*u(v).
-984*v**2
Let d(h) = h - 1. Let l(j) = -4. Let w(b) = -1. Suppose 9*p - 5*p = 20. Let n(z) = p*w(z) - l(z). Suppose 0 = -2*a - 4. What is a*n(s) + d(s)?
s + 1
Let x(s) = -s**3 - s**2 + 5*s + 67. Let f(p) = -2*p**3 - 2*p**2 + 6*p + 67. Determine -3*f(o) + 4*x(o).
2*o**3 + 2*o**2 + 2*o + 67
Suppose -4*b - 3 + 19 = 0. Let u(j) = 14*j**2 + 12 - 3 + 2. Let m(s) = 5*s**2 + 4. What is b*u(f) - 11*m(f)?
f**2
Let l(x) = -x**3 - 7*x**2 + 5*x. Let g(y) be the third derivative of y**5/60 - y**4/24 + 9*y**2 - 7*y. Determine -6*g(p) - l(p).
p**3 + p**2 + p
Let p(z) = 2*z - 246. Let t(k) = -k + 123. Calculate 3*p(j) + 5*t(j).
j - 123
Let q(w) be the second derivative of w**4/6 + w**3/3 + w**2/2 + w. Let p(k) = 5 + 145*k**2 - 277*k**2 + 9*k + 140*k**2. Give -2*p(b) + 9*q(b).
2*b**2 - 1
Let q(v) = 4*v + 3. Let m(b) = 8*b + 7. Let j(k) = -4*m(k) + 9*q(k). Let a(z) be the first derivative of 6*z**2 - 3*z + 5. Calculate -6*a(y) + 17*j(y).
-4*y + 1
Let g(h) be the first derivative of -h**3/3 + 3*h**2/2 + 3*h - 69. Let n(v) be the first derivative of v**3/3 - v**2 - 2*v + 1. Calculate 5*g(y) + 7*n(y).
2*y**2 + y + 1
Let n(p) = -41*p**3 + p + 2. Let d(o) = -206*o**3 + 6*o + 11. What is 4*d(k) - 22*n(k)?
78*k**3 + 2*k
Let m(w) = 4*w**2 + 8*w - 12. Let r(b) = -3*b**2 - 9*b + 10. What is 4*m(j) + 5*r(j)?
j**2 - 13*j + 2
Suppose -5*g - 10 = -10*g. Let k(d) be the second derivative of 4*d + 1/3*d**4 - 2/3*d**3 + 0*d**2 + 0. Let i(a) = -13*a**2 + 13*a - 1. Give g*i(s) + 7*k(s).
2*s**2 - 2*s - 2
Let h(m) = -2*m**3 - 6*m**2 - 6*m - 7. Let i(t) = -5 + t - 2*t**2 - 2*t**2 + 0 + 6 + 5*t**2 + t**3. Determine h(y) + 6*i(y).
4*y**3 - 1
Let p(z) = -648*z**2 - 2*z. Let i(r) = -648*r**2 - 2*r. Determine 6*i(h) - 7*p(h).
648*h**2 + 2*h
Let i(v) = -9*v**2 - 2*v + 4. Suppose 230*k = 235*k + 20. Let x(t) be the second derivative of 2*t**4/3 + t**3/3 - 3*t**2/2 - 7*t. Calculate k*x(q) - 3*i(q).
-5*q**2 - 2*q
Let c(d) = -17*d + 79. Let i(a) = 4*a - 19. Calculate 2*c(h) + 9*i(h).
2*h - 13
Let h(c) = 21*c**2 - 4*c + 5. Let t(q) = 2*q**2 - 2*q. What is h(f) - 2*t(f)?
17*f**2 + 5
Let l(v) be the second derivative of 2*v**4/3 - v**3 + 3*v**2 + 35*v + 1. Let z(f) = -f**2 - 1. Calculate -l(y) - 6*z(y).
-2*y**2 + 6*y
Let v(c) = 18*c - 4. Let i(j) = 47*j - 11. Let m(o) = 3*i(o) - 8*v(o). Let x(l) = -l. Calculate m(a) - 6*x(a).
3*a - 1
Let i(t) = -54*t + 7. Let v(u) = 52*u - 8. Determine -6*i(j) - 5*v(j).
64*j - 2
Let j be 15/(-120) + (-15)/8. Let l(h) = 3*h**3 - 3*h. Let i(r) = -r**3 + r**2 + r. Give j*i(x) - l(x).
-x**3 - 2*x**2 + x
Let f(g) be the second derivative of -g**3/2 + g**2/2 + g. Let l(r) = -4*r + 2. Let z be (-8)/60 + 13/(-15) - -3. Determine z*l(o) - 3*f(o).
o + 1
Let q(r) = -50*r**3 - 3*r**2 - 3*r. Let z(t) = -51*t**3 - 2*t**2 - 2*t. What is -2*q(g) + 3*z(g)?
-53*g**3
Let n(i) = i. Let v(d) = 2*d + 3. Let w be -1 - (-1 - 1)*1. Calculate w*v(p) - 4*n(p).
-2*p + 3
Let j(q) = -2*q**3 - 3*q. Let o(g) = -3*g**3 - 5*g + 1. Suppose 0*d + 6 = -2*d + 4*u, -5*u = -3*d - 7. Let m be (-9)/12*-4*d. What is m*o(a) - 5*j(a)?
a**3 + 3
Let z(m) = -10*m - 1. Let o(d) = 12*d. Calculate 3*o(k) + 2*z(k).
16*k - 2
Let a(z) = 7*z**2 - 4*z - 4. Let f(p) = -18*p**2 + 10*p. Let w(x) = -40*x**2 + 22*x - 1. Let n(q) = -7*f(q) + 3*w(q). Calculate -5*a(m) + 6*n(m).
m**2 - 4*m + 2
Let k(f) = -f + 1. Let u(x) = -17*x + 3. Determine -6*k(q) + u(q).
-11*q - 3
Let a(k) = -k**2 - k + 24. Let b(j) = 2*j**2 + 2*j - 47. Calculate 5*a(l) + 3*b(l).
l**2 + l - 21
Let m(x) = -141*x**2 - 2*x + 5. Let c(o) = -74*o**2 - o + 2. Give -10*c(w) + 4*m(w).
176*w**2 + 2*w
Let l(p) = 2*p - 1. Let w(c) = 9*c - 5. Give 33*l(j) - 6*w(j).
12*j - 3
Let v(x) = -782*x**2 - 33*x + 5. Let c(h) = 261*h**2 + 12*h - 2. Give -11*c(f) - 4*v(f).
257*f**2 + 2
Let y = -151 + 154. Let l(q) = 5*q + 3. Let o(w) = 5*w. Let h(s) = -s. Let b(a) = 6*h(a) + o(a). What is y*b(g) + l(g)?
2*g + 3
Let l(t) = -60*t. Let r(b) be the third derivative of -b**4/24 + b**2 + 128. What is -4*l(v) + 220*r(v)?
20*v
Let x(i) = -7840*i**2 - 336*i - 336. Let p(k) = -117*k**2 - 5*k - 5. Give -336*p(b) + 5*x(b).
112*b**2
Suppose 0 = 7*f - 2*f - 5. Let a = f + 2. Let p(z) = -5*z**2 + z + 3. Let h(y) be the first derivative of -4*y**3/3 + y**2/2 + 2*y + 1. What is a*h(d) - 2*p(d)?
-2*d**2 + d
Let w(h) = -4*h. Let a = 7 + -1. Let o(x) = x**2 - 6*x + 5. Let f be o(a). Let p(k) = -9*k - 1. What is f*w(t) - 2*p(t)?
-2*t + 2
Let l(b) = 30*b**3 + 3*b - 3. Let p(x) = -121*x**3 - 13*x + 12. What is -9*l(d) - 2*p(d)?
-28*d**3 - d + 3
Let i(f) = -2*f + 10. Let l(t) be the second derivative of t**2/2 - 259*t. What is -i(n) + 3*l(n)?
2*n - 7
Let m(y) = -9*y + 2. Suppose 25*s - 26*s = -5. Let u(q) = -5*q + 1. Determine s*u(r) - 3*m(r).
2*r - 1
Let y(l) = 49*l**2 + 6*l - 6. Let x(b) = b**2 - b + 1. Give 4*x(f) + y(f).
53*f**2 + 2*f - 2
Let s(d) = 533*d**3. Let n(q) = 5064*q**3. Determine 5*n(b) - 48*s(b).
-264*b**3
Let p(b) = -b - 5. Let v(u) = -1. Let l(g) = -20. Let r(w) = 2*l(w) - 44*v(w). What is -2*p(k) - 3*r(k)?
2*k - 2
Let l(c) = -5*c**2 + 16*c - 7. Let z be l(3). Let v(x) = x**2 - x - 6. Let w(u) = -u**2 + 2*u + 11. Determine z*w(k) - 7*v(k).
-3*k**2 - k - 2
Let m(p) = 1771*p**3 - 21*p**2 + 21*p + 21. Let f(s) = -443*s**3 + 5*s**2 - 5*s - 5. Give -21*f(g) - 5*m(g).
448*g**3
Suppose 0 = o + 2 - 9. Let b(c) = 0*c**2 - o*c**2 + 7 - 4*c - 3*c + 0*c - c**3. Let l(g) = -g**3 - 6*g**2 - 6*g + 6. Give 6*b(t) - 7*l(t).
t**3
Let a(w) = 2*w**3 - 4*w**2 - 268*w + 3. Let v(l) = 3*l**3 - 7*l**2 - 534*l + 5. What is -5*a(f) + 3*v(f)?
-f**3 - f**2 - 262*f
Let i(o) = 4*o + 3. Let l(x) = x - 1. Let y(f) = -i(f) + 2*l(f). Let m be (7 - 2)/(35/21) + 7 + -6. Let u(t) = 5*t + 11. Calculate m*u(v) + 9*y(v).
2*v - 1
Let x(k) = 44*k**3 - 11*k**2 - 5*k - 6. Let l(z) = 7*z**3 - z**2 - z - 1. Let c(a) = 6*l(a) - x(a). Let s(n) = 2*n**3 - 4*n**2 + n. What is -4*c(p) - 5*s(p)?
-2*p**3 - p
Let n(q) = 6*q**3 + q**2 - 1. Let r(x) = -13*x**3 - 3*x**2 + 3. Let w = 194 + -187. Calculate w*n(u) + 3*r(u).
3*u**3 - 2*u**2 + 2
Let t be (3/6)/(7/182*-1). Let z(y) = -2*y**3 - 15*y**2 + 11*y + 13. Let n(l) = -l**3 - 7*l**2 + 5*l + 6. Calculate t*n(f) + 6*z(f).
f**3 + f**2 + f
Let h(r) = 23*r + 6. Let p(j) = -5*j - 1. Let d(t) = h(t) + 5*p(t). Let w(o) = -o. Calculate 3*d(a) - 3*w(a).
-3*a + 3
Let l(p) = -p**3 - p + 0*p**2 + 0*p**2. Let a(t) be the second derivative of 12*t - 1/20*t**5 + 0*t**4 + 0 + 0*t**2 + 1/6*t**3. What is 2*a(w) + l(w)?
-3*w**3 + w
Let c(a) = -a**3 - a + 1. Let o(m) = 548*m**3 + 274*m - 274. Determine -274*c(l) - o(l).
-274*l**3
Let o(z) = 3*z**3 + 4*z**2 - 3*z - 42. Let u(q) = q**3 + q**2 + 1. What is -o(t) + 4*u(t)?
t**3 + 3*t + 46
Let w(d) = d**2 - 4*d. Let o(l) = -2*l**2 + 5*l. Let v be (-10)/3 + (-1)/(-3). Let r = -2726 - -2722. What is r*w(x) + v*o(x)?
2*x**2 + x
Let q(h) = 2*h + 14. Let j be q(-6). Let g(a) = 3 - 3*a - j*a - 3*a + 4*a. Let d(c) = c - 1. Calculate -6*d(k) - 2*g(k).
2*k
Let s(x) = 32*x**3 - 10*x**2 - 64. Let a(u) = -15*u**3 + 4*u**2 + 32. Calculate 5*a(p) + 2*s(p).
-11*p**3 + 32
Let p(q) = -4. Suppose 0*a + 4*a - 28 = 3*x, -a - 16 = 5*x. Let y(u) = -u**2 - 5. Calculate x*y(v) + 5*p(v).
4*v**2
Let j = -1285 - -1278. Let c be (-4)/2*(-6)/(-4). Let i(o) = -o + 3. Let n(x) = 4*x - 11. Let s(z) = 22*i(z) + 6*n(z). Let a(q) = -q. What is c*s(h) + j*a(h)?
h
Suppose 10 = 4*c + c, 3*c - 26 = -5*t. Let w(j) = -j**2 - 6*j - 1. Let q(y) = -y**2 - 5*y - 1. Su | {
"pile_set_name": "DM Mathematics"
} |
-2*u**2 - 4*u**2 - 3*u**2) in the form c*u + q*u**2 + r and give q.
-162
Rearrange (14 + 6 + 45 + (-2 + 0 + 5)*(-1 + 1 + 2))*(-3*z**2 - z**2 + 6*z**2) to u + n*z + s*z**2 and give s.
142
Express 171*f - 2*f**2 + 1 - 336*f + 191*f in the form v*f**2 + p*f + w and give w.
1
Express (-5 + 8 - 5)*(2 - 2 - 5*g)*(4 + 2*g - 4) as y + f*g + z*g**2 and give z.
20
Express (0*n + 2*n + 0*n)*(-3 + 3 - 2) + (22 + 34 - 17)*(0 + n + 0) + (4*n + 0*n - 3*n)*(2 - 1 + 2) in the form v + b*n and give b.
38
Rearrange -83*q - 77*q - 441*q**2 + 161*q to x*q + i + g*q**2 and give x.
1
Rearrange ((-3 + 3 - 2*x)*(-3 + 0 + 1) + x - 2*x + 3*x + 32*x + 34 - 34)*(1 + 1 - 3)*(-4 - 2 + 2) to the form a*x + f and give a.
152
Rearrange 159 + 7*d - 131 - 9*d to p + g*d and give p.
28
Rearrange 9 + 5*j**3 + 8*j**3 + 4*j**2 - 14*j**3 + 4*j**3 - 13*j**2 to the form i*j**3 + x*j**2 + v*j + p and give x.
-9
Express (-16 - 29 - 78)*(0*k + 0*k - 3*k**2) + 2*k**2 - 2*k + 2*k - 3 + 3 + 3*k**2 as g + o*k**2 + a*k and give o.
374
Rearrange 968*d**3 + 3*d**2 + 2 + d**4 + 0 - 965*d**3 to v*d**4 + i*d + o + b*d**3 + t*d**2 and give t.
3
Rearrange 113*w**2 + 10*w**2 - 4 - 41*w**2 + 4*w**2 to v + z*w + c*w**2 and give v.
-4
Express (4*m - 4*m + 3*m**3)*(26*m + 47*m - 51*m) - 4*m**4 + 4*m**2 - 3*m + 2*m**4 - 3*m**2 as q*m**2 + k*m + a + w*m**3 + u*m**4 and give u.
64
Rearrange -b**3 - b - 803 + 84*b**2 + 264 + 267 + 269 to a*b + q*b**2 + r*b**3 + o and give a.
-1
Express (-5 + 2 + 2)*(-8 + 0 - 3)*(-10*z - 22 + 42 - 19) in the form r*z + x and give x.
11
Express -958*d**3 - 51*d + 477*d**3 + 18*d + 492*d**3 in the form g*d**3 + j + p*d**2 + w*d and give w.
-33
Express -2 - 130*a**2 + 18*a**2 - 497*a**2 - 559*a**2 + (4*a - 3*a - 2*a)*(2*a + 3*a - 3*a) - 2*a**2 + 4*a**2 - 3*a**2 in the form g*a**2 + t + k*a and give g.
-1171
Express i**2 + 228*i**3 - 4 - 2 - 224*i**3 + 0 in the form s + q*i**3 + d*i**2 + k*i and give q.
4
Rearrange (5*r - 2*r - 2*r)*(-5*r - 25*r + 0*r + (-2*r - 3 + 3)*(-6 + 3 + 2) + 0 + 0 - r) to the form p + f*r**2 + v*r and give f.
-29
Express 3 - 152*d**2 + 444*d**2 - 147*d**2 - 8 - 150*d**2 as c + h*d + k*d**2 and give k.
-5
Rearrange -57*d**2 + 10*d**2 - 3*d + 2*d to s*d**2 + x*d + i and give x.
-1
Rearrange 9*u - u**3 - 13*u**2 - 8 - 11*u**2 + 28*u**2 - 6*u**2 to n*u**2 + v + b*u**3 + p*u and give n.
-2
Rearrange 13*u**2 + 5 + 12 + 8 - 19 to v + d*u + i*u**2 and give i.
13
Rearrange -x - 88 + 0 - 120 - 54 - 61 to m + p*x and give p.
-1
Express -8 + 25 + 14 - o**2 + 2*o**2 - 4 - 2*o in the form d + s*o + i*o**2 and give s.
-2
Rearrange -6986*j + 6*j**2 - 28*j**2 + 6986*j to the form v*j + z + h*j**2 and give h.
-22
Rearrange 38 - 46*n - 40 - 11*n**3 + 15*n + 17*n + 20*n to the form v*n**3 + u*n**2 + g*n + p and give p.
-2
Express 4 + l**2 + 15 - 7*l - 28 + 2*l**4 + 12 + 2*l**4 as u*l**4 + w*l + f*l**2 + n*l**3 + t and give w.
-7
Rearrange 33*r - 48*r - 30*r - 69*r to the form s*r + b and give s.
-114
Express 0*s**2 + 6*s**2 - 7 + 3*s**3 + s**2 + 5*s**2 in the form y*s**3 + k + u*s + j*s**2 and give k.
-7
Rearrange (0 + 7*u + 0)*(-3 + 3 + 3*u) + (0*u + 2*u + 0*u)*(1 - 1 - u) + 0 + 35*u**2 + 0 to the form g*u + a*u**2 + z and give g.
0
Express 11*q**2 - 18*q**3 - 426678*q + 426678*q + 2 in the form v*q + t*q**3 + p + c*q**2 and give t.
-18
Express (4*g - 9726 + 9879 - 2*g)*(0 + 2 - 4) in the form a + z*g and give a.
-306
Rearrange (146 + 122 - 47)*(0*w + w + 0*w) to y*w + k and give y.
221
Rearrange 119*c**2 - 36*c - 1390*c**2 + 36*c to i*c + g*c**2 + w and give g.
-1271
Rearrange 450*q**2 - 2 - 57*q + 2 + 57*q to the form t + g*q**2 + b*q and give g.
450
Express -28*p**2 - 19*p**2 + 8*p**2 + 3 - 39*p**2 + 2 in the form o*p**2 + j + k*p and give o.
-78
Rearrange 170*z + 205*z - 43*z + 581*z - 38*z to h + u*z and give u.
875
Rearrange -3*h**3 + 3*h**3 - 5*h**3 + (-9*h**2 + 28*h**2 - 10*h**2)*(3*h - h - 8*h) to the form j*h + t*h**2 + n + u*h**3 and give u.
-59
Express (1 - 2 + 2)*(51112*u**2 - 176*u**3 - 51112*u**2) - 7*u - 2*u**3 + 7*u in the form x*u**2 + g*u**3 + p + y*u and give g.
-178
Rearrange -l**2 - 111 - 124*l**3 - 140 + 254 + 4*l - 4*l to k*l**3 + n*l + u*l**2 + m and give m.
3
Rearrange 2*n - 5*n - 619*n**2 + 570*n**2 to the form m*n**2 + z*n + x and give z.
-3
Express 1 + 5 - 2*y - 50 + (-3*y - 4*y + 5*y)*(-2 - 3 + 4) - y + 2*y - 2*y in the form q*y + g and give q.
-1
Express -4726*v + 4726*v + 222*v**2 as t*v + c*v**2 + g and give c.
222
Express -10*j**3 + j**3 + 2*j**4 - 10*j**3 + 2*j**2 + j - 6*j**4 in the form q*j**3 + g*j + l + v*j**2 + b*j**4 and give b.
-4
Express (7*v - 7*v - 6*v)*((-22 - 1 - 1)*(3 - 1 + 0) - 3 + 1 + 4) in the form g + b*v and give b.
276
Express y**3 - 2*y**3 + 3122*y - 3122*y + 23 in the form p*y**3 + t*y + i + h*y**2 and give i.
23
Rearrange (0*f + f - 4*f)*(11*f**3 - 14*f**3 - 38*f**3) to the form c*f**4 + o*f + m*f**3 + l*f**2 + s and give c.
123
Rearrange 145*l + 78 + 80 - 158 to s + h*l and give s.
0
Express 1148 - 1148 + 14*w + (-4 + 5 + 1)*(2*w + 3*w - 4*w) - 2 - w + 2 in the form d*w + b and give d.
15
Express 182*y**2 + 141*y**2 + 43*y - 98*y**2 - 43*y as x + d*y + p*y**2 and give p.
225
Express a + 15*a + 21*a - 248 + 254 + 3*a in the form o + l*a and give l.
40
Rearrange (6*t + t - t)*(-4*t - 4*t + 7*t + (-t - 2 + 2)*(0 - 1 - 1) + 11*t + 2*t - 6*t - 1) to r + g*t**2 + j*t and give g.
48
Express (-4*m + 16*m - m)*(-m + 0*m + 6*m)*(17*m + 8*m - 7*m) in the form t*m**2 + o*m + z + w*m**3 and give w.
990
Rearrange (2*x - 2*x + x)*(-2*x - 93*x**2 + 13 + 33*x**2 + 49*x**2) to h*x**3 + a + z*x**2 + r*x and give a.
0
Express (-4 + 0 + 5)*(0 - 1 + 0)*((14*o - 12*o + 13*o)*(-5 + 2 + 4) + 2*o - 5*o + 4*o) in the form z + w*o and give w.
-16
Rearrange (-3*h + 6*h - 4*h)*(-8*h - 3*h - 402*h**2 + 389*h**2) to the form f*h**2 + y*h + c*h**3 + r and give c.
13
Express -3 - 1 + 4 + h in the form o*h + r and give o.
1
Rearrange -14*t - 13*t**3 - 12*t**3 + 3*t**2 - 11*t**3 + 2 + 38*t**3 to the form q*t + i*t**2 + n + p*t**3 and give q.
-14
Express -14 + 0 - 620*x + 618*x + 2*x**2 in the form y + a*x + n*x**2 and give a.
-2
Rearrange -19 - 70*r + 157*r - 73*r to v + o*r and give v.
-19
Express (3*j - 2 + 2)*(-10*j**2 + 7*j**2 - 13*j**2 + (2*j - j + 0*j)*(-3 + 3 - j) + 0*j**2 + 5*j**2 - 2*j**2) in the form o*j + u*j**3 + w + c*j**2 and give u.
-42
Express -6*s**2 - 2*s + 4*s + 5*s**4 - 1675 - 2*s**4 + 1673 + 2*s**3 as l*s + y*s**3 + g*s**2 + d + w*s**4 and give y.
2
Express 81*h - 28*h + 14*h as w + i*h and give i.
67
Rearrange -3*s - 3*s**2 + 1 + 2*s**3 - 14*s + 5*s - 3 to the form g*s**2 + n + x*s + f*s**3 and give n.
-2
Express (-2 + y + 2)*(0*y - 3*y + y + 0*y + y - 7*y - 2 + 2 + y + (6 - 2 - 2)*(-5*y - 3*y + 6*y) + 0*y + 2*y - 4*y) in the form n + g*y + t*y**2 and give t.
-13
Express (-4*a + a + 8*a)*(6*a - 5*a + 3*a)*(5*a + 7*a - 3*a) as h*a + u*a**2 + q + o*a**3 and give o.
180
Rearrange -560 - 152*u**2 + 560 + (-u**2 - 1 + 1)*(-1 - 3 + 0) to o*u**2 + v*u + f and give o.
-148
Express -2946 - 307*s**3 + s + 2945 + 0*s as i*s**2 + b + t*s**3 + o*s and give b.
-1
Express 0*x + 8*x + x - 392 - 11*x as a*x + y and give a.
-2
Express (2514*p**3 - 5076*p**3 + 16*p + 2531*p**3)*(-3 + 3 + 1) in the form d*p**3 + f*p**2 + v*p + h and give d.
-31
Express -d**2 - 51 - 47 + 120*d + 2*d**3 - 69*d - 51*d as y + f*d**2 + r*d + h*d**3 and give f.
-1
Rearrange -14 - 33 - 21 + 91 + 5*f**3 + 5*f**3 to the form b*f**3 + w + x*f + v*f**2 and give w.
23
Express (-15*v - 39 + 39)*(1 - 1 - 2) - 2 + 2 - 2*v in the form n + x*v and give x.
28
Rearrange (0*z - 2*z + z)*(-z - 2*z + 0*z)*(-5 + 73*z - 71*z + 127) to the form j*z**3 + i*z**2 + f*z + t and give j.
6
Express (-7 + 2 - 5)*(-18*d**2 - 24*d**3 + 18*d**2) in the form t + q*d**3 + j*d**2 + i*d and give j.
0
Express -4*q + 9*q + 2*q + 2*q - q + 0*q - 2*q + 6*q - 3*q + (0 + 0 - 1)*(-4*q + q + q) + 2*q - 18 + 15 + 6 in the form w*q + l and give l.
3
Rearrange 11 - 13 + t - 38 - 19 to the form w + r*t and give r.
1
Rearrange -n + n + n**2 + (4*n + n - 4*n)*(3*n - 2*n + 2*n) - 32*n**2 + 2*n - 3*n + 30*n**2 + (6 - 5 - 4)*(n - n + n**2) to o*n + m + p*n**2 and give p.
-1
Rearrange (15*u - 5*u**3 - 15*u)*(294540 - 294540 + 64*u) to b*u**4 + k*u + w*u**2 + p + c*u**3 and give b.
-320
Express (-i**3 + 5*i**3 - i**3)*(- | {
"pile_set_name": "DM Mathematics"
} |
y i**10*(i*i*i/(i**(3/2)/i)*i)/i assuming i is positive.
i**(25/2)
Simplify (((j*j**(2/11))/j)/(j/(j/j**(-2/11))))/((j*(j**(-4/7)/j)/j)/(j/j**(-1/4))) assuming j is positive.
j**(981/308)
Simplify o**17/o**(-21) assuming o is positive.
o**38
Simplify (m/(m/(m/m**(-1/15))))/m**(1/7) assuming m is positive.
m**(97/105)
Simplify o**1/o*o*o**(-5)/o*o*(o*o**0*o)**(2/43) assuming o is positive.
o**(-168/43)
Simplify ((l**(-2/3)/l)/l*l)**(1/6)*l**(-4)*l*l**6*l assuming l is positive.
l**(67/18)
Simplify ((t*(t**(-3/10)*t)/t)/(t*t*t**(-10)))**(-8) assuming t is positive.
t**(-348/5)
Simplify s**(-4)/s*s*s**0*s**(-4)*s**(-2) assuming s is positive.
s**(-10)
Simplify ((t**(-2)/t)/t**(6/5))/(t/((t/(t/t**(2/7)))/t)*t*t*t*t**(1/9)) assuming t is positive.
t**(-2843/315)
Simplify (m**4*m*m/(m*m**4*m*m))**(-4) assuming m is positive.
m**4
Simplify ((k/k**(3/4)*k*k)**(5/2))**9 assuming k is positive.
k**(405/8)
Simplify (o/(o*o**0))**(-27)*(o*o**0*o)**(-12/7) assuming o is positive.
o**(-24/7)
Simplify (y**1*y)/y**5*((y*y**(-7))/y)/y*y**(-4) assuming y is positive.
y**(-15)
Simplify (c/(c**(-5)*c))/c**(-1)*(c/(c*c*c*c/(c/c**(2/5))*c))**(-6/19) assuming c is positive.
c**(672/95)
Simplify (c**40/c)/c**39 assuming c is positive.
1
Simplify (s*s*s*s/(s/(s**(-1/7)/s))*s*s*s*s/(s*s/s**5))**(-27) assuming s is positive.
s**(-1674/7)
Simplify (j/(j*j**(-1)))**(2/13)/((j**0*j)/j*j)**38 assuming j is positive.
j**(-492/13)
Simplify l**4*l**(3/19) assuming l is positive.
l**(79/19)
Simplify (r*r**(1/22)*r)/(r/(r/(r**12/r))) assuming r is positive.
r**(-197/22)
Simplify (r/r**(-1/4))/r**1*r**(-2/5)/r*r*r/(r*r**4) assuming r is positive.
r**(-83/20)
Simplify (m/(m/m**(-7)))/m**(-2/29)*(m*m*m**7)/(m*m*m/((m*m**(8/5))/m)*m) assuming m is positive.
m**(-48/145)
Simplify (c*c*c**(2/7))**(-25)/(c**(-2/5))**(-10) assuming c is positive.
c**(-428/7)
Simplify v**(2/17)/(v/(v*((v/v**(-9))/v)/v))*(v*v/v**1)**(-12) assuming v is positive.
v**(-66/17)
Simplify w**(-7)*w**(2/33)/w*w assuming w is positive.
w**(-229/33)
Simplify (m**7*m*m**(-3/7))/(m*m*m**(-7/4)*(((m/(m/m**0))/m)/m)/m*m*m) assuming m is positive.
m**(233/28)
Simplify (k*k**(6/7)*k**(-2/9))/(k**(2/7))**40 assuming k is positive.
k**(-617/63)
Simplify ((n/n**(2/7))**(-26))**(-16) assuming n is positive.
n**(2080/7)
Simplify (w**(1/3))**(-28) assuming w is positive.
w**(-28/3)
Simplify ((m**7*m)/((m*m**(-7))/m*m))/(m*m/(m*m/(m/m**(-1)*m))*m*m)**(7/6) assuming m is positive.
m**(49/6)
Simplify ((g**1)**(-19/3))**(1/25) assuming g is positive.
g**(-19/75)
Simplify (p*p**8/p*p)/p**16 assuming p is positive.
p**(-7)
Simplify j*(j**(-3/5)*j)/j*j*j**5*(j*j**(2/3))**47 assuming j is positive.
j**(1271/15)
Simplify ((a**(-6/11))**(-4/3))**(-3/25) assuming a is positive.
a**(-24/275)
Simplify (m*m/(m/m**0))/m*(m**(-2/11)*m)/m*m*(m*m**(-1)*m*m)/m*((m*m/(m/(m/(m/m**(1/3))))*m)/m)/m assuming m is positive.
m**(71/33)
Simplify (p/p**33)**(2/77) assuming p is positive.
p**(-64/77)
Simplify (w*w*w**(-1)*w*w**(-1)*w)/(w**1)**(-48) assuming w is positive.
w**50
Simplify (a**(-5/2))**8 assuming a is positive.
a**(-20)
Simplify (f/(f*f**(1/2))*f**(-2/9)/f)/((f**(-6)*f)/((f/(f*f**(3/8)*f))/f)) assuming f is positive.
f**(65/72)
Simplify ((q*q**5)/q**(-1/2))/(q**(-2/9)/q**(1/6)) assuming q is positive.
q**(62/9)
Simplify (l/l**(-2/15)*l*l**(-3/7))/((l*l**(3/5))/(l/l**4)) assuming l is positive.
l**(-304/105)
Simplify (a*a**(-2/19)*a)/(a/(a/(a*a**13))) assuming a is positive.
a**(-230/19)
Simplify o**(-21)/o**(-2/19) assuming o is positive.
o**(-397/19)
Simplify (a**12/a**(1/3))**(-3/14) assuming a is positive.
a**(-5/2)
Simplify (u/u**(-2))**(-6/19)*(u/(u*u**(-1/2)))**(-3/34) assuming u is positive.
u**(-1281/1292)
Simplify (s**(-10))**(-4/3) assuming s is positive.
s**(40/3)
Simplify ((h**(-1)/h*h)/h)**49*(h/(h*h*h**1*h*h))/h**1 assuming h is positive.
h**(-103)
Simplify (m/(m/m**(2/7))*m)**(-13/3)*m**(1/11)*(m/m**(-5/6))/m assuming m is positive.
m**(-2147/462)
Simplify (t**(-2/3)*t)**(3/4)*((((t/(t**(1/6)/t))/t)/t*t)/t)/t**(1/4) assuming t is positive.
t**(-1/6)
Simplify z*z**(-4)*z*z*z**(-1/11)/z*(z/((z*(z*z/((z*(z*z*z**(-1/17))/z*z*z*z)/z))/z)/z))/(z/((z/z**(1/3))/z*z)) assuming z is positive.
z**(851/561)
Simplify ((h**(3/2))**20)**(2/3) assuming h is positive.
h**20
Simplify (a**0*a)**(1/3)*(a/a**(-1/7))/(a/(a*a**(-2/29))) assuming a is positive.
a**(857/609)
Simplify (k/(((k/(k*k**(-5/6)))/k)/k))/(k/((k/(k/(k/(k/(k*k*k**(1/43)*k*k*k)))))/k)*k) assuming k is positive.
k**(1081/258)
Simplify z/(z/((z**(-2/7)*z)/z)*z)*z**5/z assuming z is positive.
z**(19/7)
Simplify ((s**(2/3))**(-1/46))**(-22) assuming s is positive.
s**(22/69)
Simplify (((p*p/p**(-6)*p*p)/p)**29)**26 assuming p is positive.
p**6786
Simplify (j*j**(-1/2))**(-49)/((j**(-1/8)/j)/j**4) assuming j is positive.
j**(-155/8)
Simplify (t**(-10))**(-2/101) assuming t is positive.
t**(20/101)
Simplify (h**(-3/2)/h)**37 assuming h is positive.
h**(-185/2)
Simplify a**(-5)*a/(a/(a/(a*(a/((a/(a/(a/a**(2/17))))/a*a))/a)*a))*((a/(a/((a*a**(-1))/a)))/a)**31 assuming a is positive.
a**(-1107/17)
Simplify ((p/p**2*p)/p)**(3/32) assuming p is positive.
p**(-3/32)
Simplify ((j/((j**(-4)/j)/j*j))/j**(-3/5))/(j**(-7)/j*j**(-2/25)) assuming j is positive.
j**(367/25)
Simplify (d**(-2/7))**(2/21)*d*d**10*d/(d/(d**(-4)*d)) assuming d is positive.
d**(1172/147)
Simplify s**(1/3)/((s*s*s*s**10*s)/s*s)*s**11/s**(2/7) assuming s is positive.
s**(-62/21)
Simplify (a*(a*a/a**(-2/5)*a)/a)**(3/37)*(a**(2/7)*a)**(-2/103) assuming a is positive.
a**(33441/133385)
Simplify (w/(w**(-1/4)*w))**20*(w**(3/7)/w)/w*w*w**7 assuming w is positive.
w**(80/7)
Simplify (z**2)**(1/8)/((z*z**1)/z)**(3/34) assuming z is positive.
z**(11/68)
Simplify z**(-4/7)*z*z**12*z*z assuming z is positive.
z**(101/7)
Simplify (n**0*n**(-1))**(-7/9) assuming n is positive.
n**(7/9)
Simplify (s/((s/(s*s**(2/5))*s*s)/s)*s*s**(1/3))/((s*(s*s**(1/4)/s)/s)/(s*s**1/s*s)) assuming s is positive.
s**(209/60)
Simplify b/(b/b**(-12))*b**(-2/5) assuming b is positive.
b**(-62/5)
Simplify (r*r/(r*r/(r**(-3)/r))*r*r)**(-17)*r**(1/2)/r**(5/4) assuming r is positive.
r**(133/4)
Simplify ((b/(b/b**(2/3)))/b*b*((b/(b/(b*b*b/(b/b**(-2))*b)))/b)/b*b*b)/(b**0*b**(-1/8)) assuming b is positive.
b**(43/24)
Simplify (z/z**(-4/13))/(z*z/(z*z**(-9))) assuming z is positive.
z**(-113/13)
Simplify (d/d**(1/22))/d**18 assuming d is positive.
d**(-375/22)
Simplify ((w**(-1/3))**(-30))**(-45) assuming w is positive.
w**(-450)
Simplify a**10*a**40 assuming a is positive.
a**50
Simplify (g*g**3*g)**42*g/g**1*(g**(6/11)*g)/g assuming g is positive.
g**(2316/11)
Simplify z**(3/14)*z*(z/z**30)/z assuming z is positive.
z**(-403/14)
Simplify l/(l/(l/(l/l**32))*l)*l/(l*((l*((l**(-38)/l)/l)/l)/l)/l) assuming l is positive.
l**73
Simplify (q**5*q)/(q/q**(-1/2))*q**0/(q*(q/q**(-1))/q) assuming q is positive.
q**(5/2)
Simplify a**(-3/5)/((a**(-2/9)/a*a*a*a)/a)*(a/a**(-2/7))**(1/12) assuming a is positive.
a**(-1601/1260)
Simplify (y*y**(-2/13)*y)**(2/15) assuming y is positive.
y**(16/65)
Simplify (k**(2/7))**41*k**4*k**(-2) assuming k is positive.
k**(96/7)
Simplify v**(3/5)/(v/v**(-18)) assuming v is positive.
v**(-92/5)
Simplify o**(2/23)/o**(-6/11) assuming o is positive.
o**(160/253)
Simplify (g*g/g**(-2/9)*g*g*g*g)/((g**10*g)/g) assuming g is positive.
g**(-34/9)
Simplify (g**(-2)/((((g*(g*g**(3/8)/g*g)/g*g*g)/g)/g)/g*g))**(-9) assuming g is positive.
g**(243/8)
Simplify (b**(-2/15)/b*((b/((b*b**(-2/7)*b)/b)*b*b)/b)/b)**(9/2) assuming b is positive.
b**(-267/70)
Simplify r/r**2*((r/(r**(-16/7)*r))/r)/r assuming r is positive.
r**(-5/7)
Simplify n**(-7)*n**(-3/8) assuming n is positive.
n**(-59/8)
Simplify (m/(m/m**(-2)))/(m**5*m)*((m*m**(1/2)*m)/m)/((m*m/(m*m*((m**(-6)*m*m)/m)/m))/m*m) assuming m is positive.
m**(-25/2)
Simplify (b**(-1/2))**(-29)*(b*(b/((b*b**(4/7))/b)*b)/b)/(((b*b**(1/3)/b)/b)/b) assuming b is positive.
b**(739/42)
Simplify ((b/b**(-2/11))/b**6)/(b/(b*(b*b/b**0)/b))**(-9) assuming b is positive.
b**(-152/11)
Simplify (i*i/i**(-2))/i**4*(i/(i/(i/(i**5/i*i))))/(i*i**0) assuming i is positive.
i**(-5)
Simplify ((((a*((a/(a**(2/3)*a))/a)/a)/a)/a)/(a**(-5/4)/a))**7 assuming a is positive.
a**(-119/12)
Simplify (u*(u*u**4*u)/u*u/(u**(4/3)/u)*u)/( | {
"pile_set_name": "DM Mathematics"
} |
est to 1/3 in y, -2, 3?
y
Let j = -1 + -4. Let i = 0.02 - -0.08. What is the nearest to 2/7 in j, i, -2?
i
Let d = -369/77 - -48/11. Let f = 0.02 + 0.38. Let z = 1 - 1. Which is the nearest to z? (a) f (b) 0.1 (c) d
b
Let t = -1.8 + 7.8. Let w = 5.8 - t. What is the closest to 1 in 2/17, w, -2/5?
2/17
Let y = 55.23 - 55. Let o = 4.77 + y. What is the closest to 1/4 in 0.3, o, 0.1?
0.3
Let v = -2/461 + 932/2305. Let w = -2.2 + 0.2. Which is the nearest to -1? (a) 0.1 (b) w (c) v
b
Suppose -3*n = -4*l - 14, 5*l - 3*l = -3*n - 16. Let p be (-16)/3 + n/(-6). Which is the nearest to -0.1? (a) -0.4 (b) 1 (c) p
a
Let o = 56.1 - 56. What is the closest to o in 0, 7/4, -0.5?
0
Let k = 0.5 - 1. Let o = -2 + 2. Let w = o + k. Which is the nearest to -1? (a) 0.3 (b) w (c) -4
b
Let p = -0.06 + -1.94. Let x = -49 - -53.6. Let s = x - 0.6. What is the closest to p in s, 1/3, 0.5?
1/3
Let w = 21 - 22. What is the nearest to w in 4, -5/3, -1/4?
-5/3
Let o = 10 + -14. Let z be -1*(27/6 + o). What is the nearest to -1 in z, 0.5, 1/4?
z
Let k = -11 - -12. Let z = 2 - 2.2. Which is the nearest to k? (a) z (b) 1/6 (c) 0.1
b
Let o = -11 - -16. Let i be 50/45*-3*2/(-10). Let f = 184 - 923/5. Which is the nearest to i? (a) o (b) f (c) -2/15
c
Let b = 0.87 + -0.37. What is the closest to 1/6 in -2, b, 4?
b
Let w = -122 - -1221/10. Let s(m) = -7*m + 13. Let o be s(2). What is the nearest to 0 in w, 2/9, o?
w
Let r = 5 - 4.9. Let k = r + 0. Let s = -1.5 - -2. Which is the closest to k? (a) 3 (b) s (c) 2/5
c
Let z = -1.2 + -0.8. Let o = -1 - z. Which is the closest to 1? (a) o (b) 0.1 (c) 2/3
a
Let g = 863/7 - 123. Let u = -1.2 - -0.2. Let h be 1/3*3 - 5/(-10). Which is the nearest to u? (a) h (b) g (c) -3/5
c
Let s = -9.5 - 0.5. Let k = s + 9. Which is the closest to k? (a) -1/3 (b) 0.2 (c) 2/3
a
Suppose -3 = 17*u - 14*u - 3*z, -5 = -u - 2*z. Let r be 2 + 2/9*-10. Which is the nearest to 0.1? (a) -0.4 (b) u (c) r
c
Let o = -0.9 + 1. Let u be (15/20)/(-2 + 2/(-2)). Which is the nearest to 1? (a) -4 (b) o (c) u
b
Let y be 6/(-24) + (-3)/(-36). Let d = -0.7 + 0. Let r = d - 0.3. What is the closest to r in -5, 2, y?
y
Let q = -19 - -18.8. Suppose -3*r = u - 626, 0*u + u - 208 = -r. Let n = -1041/5 + r. What is the closest to q in -0.3, n, 2/5?
-0.3
Let n = -3.9 + 4. Let o = -1 - -0.6. What is the closest to n in 3, -0.3, o?
-0.3
Let j = 1 - 5. Let i(y) = 2*y**2 + 10*y + 9. Let b be i(-3). What is the closest to 1 in j, b, -0.4?
-0.4
Let i = -6.83 - -7. Let f = i - -0.03. What is the closest to 1/4 in -1/4, f, -0.4?
f
Let q = 0.8 + -0.6. Let l = -0.7 + -0.3. Let t = 1/94 + -191/282. Which is the nearest to l? (a) 3 (b) t (c) q
b
Suppose -5*a = 3*g - g + 16, -5*g - 23 = 4*a. Let c = -1.2 + 0.2. Let u = -2 - c. What is the nearest to -1 in a, u, 4/3?
u
Let w = 619/4 + -156. Which is the nearest to -1/4? (a) w (b) 2 (c) 0.2
c
Let t = 0.2 + 0. Let f be (-8)/(-6) + -1 + (-4)/30. Which is the nearest to f? (a) 1/8 (b) 5 (c) t
c
Let y be 2/(-7) - (-25)/63. Let d = 8.01 + -8. Let q = d + -0.11. What is the nearest to q in y, -5, 0.4?
y
Let f = -13 - -18. Suppose g + 16 = f*g. Which is the nearest to 0.1? (a) 0 (b) 1 (c) g
a
Suppose 0 = -4*j - j. Suppose j = 5*v + 4*t - 41, 4*v + 3*t - 47 = -14. Let w be (v/(-6))/((-3)/4). Which is the nearest to -2/3? (a) 5/4 (b) 0 (c) w
b
Let g = -1 + 0.5. Let r = 11 - 10. Let k = g + r. What is the nearest to -0.1 in k, -0.2, -1/11?
-1/11
Let t be (59/(-33))/((-20)/(-195)). Let s = t - -69/4. Suppose 0 = 5*l + 3*f - 6 - 23, 4*f = -3*l + 24. Which is the closest to -2/7? (a) s (b) 2/11 (c) l
a
Let d be -8*(-2)/(-4)*-1. Let t = -0.06 - -0.16. Let r be (9/63)/(1 + 0). What is the nearest to t in 2, d, r?
r
Suppose k = -2*f + 6*k + 22, 0 = 4*f - 4*k - 20. Let w = -7/5 + f. Let y = 50 - 50. What is the closest to 1/4 in 1/8, y, w?
1/8
Let t = -53.8 - -54. Which is the closest to t? (a) 0.2 (b) -1 (c) -4
a
Let l = -0.14 - -2.14. Let r be -2 + 3 - 0/(-1). Suppose -5 = 3*g - 2*g. What is the nearest to r in 1, g, l?
1
Suppose -5*l - 10 = 5*m, 4 = 4*l - m + 2. What is the nearest to l in -1/5, 2/9, 1?
-1/5
Let w be 1 - 8/(-2 + 0). Let s = 206/627 - -1/209. What is the closest to -0.1 in w, s, 0.1?
0.1
Let p = -21 + 26. Which is the nearest to 0? (a) p (b) -0.4 (c) 2/15
c
Let g = 0 - -0.1. Let w = -10 + 14. Suppose -w*t - 5 = 3*p - 8*t, 0 = 5*p + 3*t - 11. What is the closest to p in g, 2/5, -3/7?
2/5
Let d = -7.686 - 0.014. Let q = 8 + d. What is the nearest to 0.2 in -1/3, q, -2?
q
Suppose r - 3 - 1 = 0. Let h = 0.235 + -0.135. Let m = 0.7 - 0.4. What is the nearest to h in -4, m, r?
m
Let w = 0.36 - 0.06. Let y = 11 - 10.9. Which is the nearest to y? (a) -4 (b) w (c) 4/5
b
Let y = 3.6 - 4. Which is the closest to -3? (a) 0.2 (b) 3 (c) y
c
Let v = 362.99 - 366. Let r = v + 0.01. Which is the closest to 1? (a) 4 (b) -2/3 (c) r
b
Let d be 2/(-5) + 35/25. Let g = -1.3 + 1. Which is the closest to d? (a) g (b) -0.4 (c) 3/5
c
Let q = -0.025 - -0.025. Which is the closest to 2/7? (a) q (b) -5 (c) -0.2
a
Let o = -769 - -769.5. Let h be 1/2*2 - 3. Which is the nearest to h? (a) 3 (b) o (c) -4
c
Let u be (0 - -1)*(-2 - -2). Let m be 1 + 16/(16/4). Let v be 8/6 - 2/6. Which is the nearest to u? (a) -0.2 (b) v (c) m
a
Let m = 0.086 + -0.286. Let s(w) = w**2 + 6*w + 7. Let b be s(-5). What is the nearest to 0 in b, m, -1?
m
Let f(s) = s**3 + 5*s**2 + s + 7. Let d be f(-5). Let i = -41 + 23. Let n be (-6)/(-3) - (-40)/i. Which is the nearest to 0? (a) 4 (b) n (c) d
b
Let z = 2.6 - 2.4. Which is the nearest to 0? (a) z (b) 0.1 (c) -0.5
b
Let i be 1/6*6/10. Let v be (-1)/2 + (-26)/(-28). Let l = -0.6 + -4.4. What is the closest to 1 in i, v, l?
v
Let x = -43 - -46. Let k = 0.2 - 0.3. Which is the closest to k? (a) 0 (b) -1 (c) x
a
Suppose -3*h - 20 = 2*h. Let v(c) = c**3 + 13*c**2 - 14*c + 2. Let i be v(-14). What is the closest to 0 in -1/4, i, h?
-1/4
Suppose -2*m - 2 = -10, -2*y + m = 12. Which is the nearest to 0.4? (a) 2/9 (b) y (c) 0.4
c
Let d be -1 - (0 + 4 + -10). Suppose d*w = -2 - 8. Let t = 3 + 0. What is the closest to w in t, -1/6, -0.1?
-1/6
Let f = 0.8 - 0.9. Let m = 0.73 - 0.6. Let w = 0.07 + m. Which is the closest to 3? (a) w (b) 2/17 (c) f
a
Let f = 0.07 - -0.23. Let z(d) = -d**3 - 17*d**2 + 37*d - 16. Let q be z(-19). What is the closest to -1/2 in 3/4, f, q?
f
Let z = 0.2 + -0.5. Let y = 0.02 + 1.98. Let i = -139/3 - -46. What is the nearest to y in z, -2/5, i?
z
Let r = 0.75 + -0.8. Let f = -5.05 - r. Let i = -1 + 0. Which is the closest to i? (a) -4/3 (b) f (c) -2
a
Let l = -8 + 12. Let r = -0.48 - 0.02. What is the nearest to -1 in l, r, 0?
r
Suppose -15 = m + 2*m. Let q be m*4/(-390)*3. What is the nearest to -0.4 in q, -3, 1?
q
Let x be 16/(-4) + 96/18. Which is the closest to 2/3? (a) 2 (b) -5 (c) x
c
Suppose -3*y - 2 = 2*d + 3, 3*d + 8 = -5*y. Let t = -0.8 + 0.86. Let v = 0.04 + t. Which is the closest to v? (a) 2/11 (b) -3/4 (c) d
a
Let g = 0.8 - 0.9. Let s = 5.87 - -0.13. Let t = s + -10. Which is the nearest to g? (a) -2/9 (b) t (c) -0.1
c
Let l(n) = -2*n + 8. Let s be l(6). Let k(q) = 2*q - 1. Let v be k(-2). What is the nearest to 1 in v, 1/3, s?
1/3
Let j = -532/9 + 5906/99. Let h = 28 + -22. Which is the closest to -0.1? (a) 2 (b) h (c) j
c
Let w = 68 + -66. Let t = 0.3 + -0.5. Which is the closest to t? (a) -0.2 (b) 1/10 (c) w
a
Let f = 0.139 + -0.039. Let i = 0.2 + 2.8. What is the closest to -1 in 2/3, i, f?
f
Let l = -3.03 - -0.03. Let v = l - -4. What is the nearest to v in 2/9, -5, 0.3?
0.3
Let t be 5/2*(-12)/20. Let m be (-9)/(-1)*(-4)/(-12). What is the closest to 1/2 in t, m, 2?
2
Suppose -2*a = 3 + 5. Let s be (2/14)/((-2)/a). What is the closest to -1 in 5, s, -0.5?
-0.5
Let r = 7 + -5. Let s = 1.8 - 1.7. What is the nearest to s in -4/7, r, -5?
-4/7
Let l be 1/(-22)*1*-2. Let r = 2/209 + -229/2090. Let s = -678/13 + 52. What is the closest to 1/2 in r, s, l?
l
Let i = -9 + 4. Let r = -0.6 + 0.1. Let s = r - -0.4. What is the closest to s in 4, i, 0.1?
0.1
Let d = -5 - -8. Suppose 5*h + 4 = 24, 4*h - 60 = r. Let i be r/(-80) - (-1)/5. Which is the nearest to 0? (a) 4 (b) d (c) i
c
Suppose 2*g = g - 1. Wha | {
"pile_set_name": "DM Mathematics"
} |
n -41*a + 19*a + 23*a.
a
Collect the terms in -300*q**3 + 37*q**3 - 316*q**3.
-579*q**3
Collect the terms in 43*y**2 + 42*y**2 - 87*y**2.
-2*y**2
Collect the terms in 0*g - 2*g + 2 - 4.
-2*g - 2
Collect the terms in 30*l + 7*l + 59*l - 10*l.
86*l
Collect the terms in 6*b + 4*b + 6*b - 15*b.
b
Collect the terms in 59 - 3*k - 126 + 67.
-3*k
Collect the terms in -41*p**3 + 33*p**3 + 4 - 4.
-8*p**3
Collect the terms in -2*c - 5*c + 44*c**2 + 7*c.
44*c**2
Collect the terms in -71*s + 79*s - 1 + 1.
8*s
Collect the terms in -8 + 16*h + 8.
16*h
Collect the terms in -69*c - 2*c**2 + 32*c + 37*c.
-2*c**2
Collect the terms in 2 + 2557*y**2 - 2 - 2552*y**2.
5*y**2
Collect the terms in -6*i - 4*i + 20*i - 5*i - 4*i.
i
Collect the terms in -5*d**3 - 4*d**3 + 16*d**3 - 4*d**3 - 5*d**3.
-2*d**3
Collect the terms in -2*r + 3*r + 7*r - 4*r.
4*r
Collect the terms in -2*x + 20*x + 12*x + 7*x.
37*x
Collect the terms in 5*i + 3*i + 2 + 0*i - 2*i.
6*i + 2
Collect the terms in -14*m**2 + 27*m**2 - 12*m**2.
m**2
Collect the terms in -3 + 3760*b**3 - 3795*b**3 + 3.
-35*b**3
Collect the terms in -5*x**3 + 16*x**3 + 3*x**3.
14*x**3
Collect the terms in -7*n**2 + 9*n**2 - 2*n**2 - 5*n**2 - n**2.
-6*n**2
Collect the terms in -34*v + 34*v - 3*v**3 + 2*v**3.
-v**3
Collect the terms in -3*m**2 - 6*m**2 + 4*m**2.
-5*m**2
Collect the terms in -8696 + 2900 + 2899 + 2*j + 2897.
2*j
Collect the terms in -1 + 12 - 3*r - 11.
-3*r
Collect the terms in -9*y + 16*y - 7*y - 6*y.
-6*y
Collect the terms in 21*g**3 + 157*g**3 - 66*g**3.
112*g**3
Collect the terms in 0*w**2 + 10 - 3*w**2 + 4*w**2.
w**2 + 10
Collect the terms in -89*p**2 + 6 - 23*p + 23*p.
-89*p**2 + 6
Collect the terms in 54*v**2 + 8*v**2 + 40*v**2.
102*v**2
Collect the terms in 6244628*w - w**3 - 6244628*w.
-w**3
Collect the terms in 4*g**2 - 7 - 3*g**2 + 7.
g**2
Collect the terms in 2*j - 9*j**2 + j - 3*j.
-9*j**2
Collect the terms in -3*i**2 + 620*i - 620*i.
-3*i**2
Collect the terms in 863*t**2 - 1726*t**2 + 867*t**2.
4*t**2
Collect the terms in 45*o - 21*o - 24*o + 14*o**3.
14*o**3
Collect the terms in -7*r + 8*r - 3*r - 4*r.
-6*r
Collect the terms in 1 + 4 - 5 + 93*s.
93*s
Collect the terms in 7*k - 7*k - 4*k.
-4*k
Collect the terms in -6*i**2 - 5*i - 8*i**2 - 11*i**2 + 33*i**2.
8*i**2 - 5*i
Collect the terms in 22*r - 43*r + 21*r - 34*r**3.
-34*r**3
Collect the terms in 4*j + 202*j**2 + 205*j**2 - 412*j**2 - 3*j.
-5*j**2 + j
Collect the terms in 2*f**2 + 0*f**2 + 3*f**2.
5*f**2
Collect the terms in -10*n**2 + 16*n**2 - 2*n**2 + 40*n**2.
44*n**2
Collect the terms in 6*g + 2*g - 17*g + 6*g + 4*g.
g
Collect the terms in -3*y + 14401 - 14401 + 0*y.
-3*y
Collect the terms in 338*a - 828 - 138*a + 828.
200*a
Collect the terms in 18*z - 59*z - 173*z.
-214*z
Collect the terms in 450*k - 4*k**2 - 450*k.
-4*k**2
Collect the terms in -1383*r - 1379*r - 1378*r + 4142*r.
2*r
Collect the terms in -2*m**3 - 4*m**3 + 238*m - 238*m.
-6*m**3
Collect the terms in -5*x**2 - 47*x**2 + 48*x**2.
-4*x**2
Collect the terms in 3*w - 106 + 106 - 4*w.
-w
Collect the terms in -110*u**2 + 33*u**2 + 41*u**2 + 33*u**2.
-3*u**2
Collect the terms in -3*d - 8*d**2 + 1 + 3*d.
-8*d**2 + 1
Collect the terms in -151*u**2 - 154*u**2 + 303*u**2.
-2*u**2
Collect the terms in -14*w**2 + 3*w - 2*w**2 - 3*w.
-16*w**2
Collect the terms in 61*u - 3*u - 60*u.
-2*u
Collect the terms in -2*t**3 + 1370 + 1371 - 2741.
-2*t**3
Collect the terms in -70*a**2 + 33*a**2 + 36*a**2.
-a**2
Collect the terms in -24*p**3 + 0*p**2 + 0*p**2.
-24*p**3
Collect the terms in 25*g**3 - 75*g**3 + 49*g**3.
-g**3
Collect the terms in 170*x**3 + 179*x**3 - 350*x**3.
-x**3
Collect the terms in -10491*x**3 + 5251*x**3 + 5245*x**3.
5*x**3
Collect the terms in 3*g - 253 - 241 + 494.
3*g
Collect the terms in -5*m - 16*m + 30*m + 61*m.
70*m
Collect the terms in -7*y - 80*y + 8*y.
-79*y
Collect the terms in -89*x**3 - 210*x**3 - 331*x**3.
-630*x**3
Collect the terms in 24*q + 38 + 45*q - 41.
69*q - 3
Collect the terms in 2*u**3 + 13*u - 4*u**3 - 23*u + 10*u.
-2*u**3
Collect the terms in -27*l**3 + 14*l**3 + 10*l**3.
-3*l**3
Collect the terms in -1 - 7 + 18*q + 8.
18*q
Collect the terms in -7*z**2 - 10*z**2 - 12*z**2 + 18 + 23*z**2.
-6*z**2 + 18
Collect the terms in 15976*y - 15976*y + 2*y**3.
2*y**3
Collect the terms in 92*y - 47*y - 43*y.
2*y
Collect the terms in -158*j**3 + 12*j**3 - 31*j**3.
-177*j**3
Collect the terms in -411*s**2 + s + 412*s**2 - s.
s**2
Collect the terms in -6*z + 3*z**3 + z - 11*z**3 - z**3.
-9*z**3 - 5*z
Collect the terms in -64*r - 170*r - 301*r - 816*r.
-1351*r
Collect the terms in -36*l - 45*l + 111*l.
30*l
Collect the terms in -30 + b**2 + 96 - 35 - 31.
b**2
Collect the terms in -6*d**3 + 102*d - 102*d.
-6*d**3
Collect the terms in 8 - 5 - 3 + 10*u**2.
10*u**2
Collect the terms in -33*l - 26*l + 55*l.
-4*l
Collect the terms in -5 + 12 + 85*q**3 - 7.
85*q**3
Collect the terms in -20*g + 16*g - 15*g + 43*g + 8*g.
32*g
Collect the terms in 3*p**3 - 38*p - 3*p**3 - p**3.
-p**3 - 38*p
Collect the terms in -157*p**2 + 6*p**3 + 318*p**2 - 161*p**2.
6*p**3
Collect the terms in -20 - 24 - 6*o**2 + 72 - 28.
-6*o**2
Collect the terms in -24*g**3 + 4 + 2 - 3.
-24*g**3 + 3
Collect the terms in -i + i - 2*i + 3*i.
i
Collect the terms in -48*h**2 + 12*h**2 + 19*h**2 + 19*h**2.
2*h**2
Collect the terms in -5*p**2 + 4*p**2 + 2*p**2 - 5*p**2 + 6*p**2.
2*p**2
Collect the terms in -913*s + 913*s + 6*s**3.
6*s**3
Collect the terms in 39 - 5 - 2*b + 61.
-2*b + 95
Collect the terms in 5*a**2 - 4*a**2 + 10*a**2.
11*a**2
Collect the terms in -2*c**3 - 3*c**3 + c**3.
-4*c**3
Collect the terms in -8*x + x - 11*x.
-18*x
Collect the terms in 36*p**3 - 19*p**3 - 18*p**3.
-p**3
Collect the terms in -b**2 - b**2 + 0*b**2 + 6.
-2*b**2 + 6
Collect the terms in 14*v**3 + 14*v**3 - 32*v**3.
-4*v**3
Collect the terms in -99*o**2 - 96*o**2 + 197*o**2.
2*o**2
Collect the terms in 2*c - 5*c + 4*c - 10*c + 14*c.
5*c
Collect the terms in 3 - 3 - 2*l**2 + 4*l**2.
2*l**2
Collect the terms in -111*n + 8 - 24*n - 8.
-135*n
Collect the terms in 191*w**2 - 62*w**2 - 60*w**2 - 66*w**2.
3*w**2
Collect the terms in 10*r - 12*r - 237 + 237.
-2*r
Collect the terms in -l**2 + 131 - 26*l - 131 - 2*l**2.
-3*l**2 - 26*l
Collect the terms in r**2 + 18*r**2 - 8*r**2 + 207 - 207.
11*r**2
Collect the terms in 3*i**2 + 3288 - 3288.
3*i**2
Collect the terms in 191*r**2 - 191*r**2 + 164*r**3.
164*r**3
Collect the terms in -61*f**2 + 1 - 3*f + 3*f.
-61*f**2 + 1
Collect the terms in 14*j + 9*j + 8*j - 28*j.
3*j
Collect the terms in 8*r**3 + 0 + 5*r + 0 - 14*r**3.
-6*r**3 + 5*r
Collect the terms in 7*f**3 - 62 + 62 - f**3.
6*f**3
Collect the terms in 56*c + 55*c - 168*c + 3*c**2 + 57*c.
3*c**2
Collect the terms in -3*r**3 - 214*r**2 - 3*r**3 + 214*r**2.
-6*r**3
Collect the terms in -4*x**3 - 35*x**2 - 30*x**2 + 97*x**2 - 33*x**2.
-4*x**3 - x**2
Collect the terms in 42*i**3 - 4443*i + 4443*i.
42*i**3
Collect the terms in -163*w**3 - 159*w**3 + 476*w**3 - 150*w**3.
4*w**3
Collect the terms in 11*r**3 + 22*r**3 + 24*r**3 - 47*r**3.
10*r**3
Collect the terms in f**3 + 31*f - 2*f**3 - 17*f.
-f**3 + 14*f
Collect the terms in 23*b + 3*b - 1 - 11*b.
15*b - 1
Collect the terms in 329*s**3 + 14*s - 330*s**3 + 11*s.
-s**3 + 25*s
Collect the terms in -53*i**3 - 92*i**3 - 56*i**3.
-201*i**3
Collect the terms in 8*s**2 - 3*s**2 + 8*s**2 + 7*s**2.
20*s**2
Collect the terms in 11*w**2 - 25862 + 25862.
11*w**2
Collect the terms in 6 - 13 + 12 - 15*t.
-15*t + 5
Collect the terms in 88*v**3 + 87*v**3 - 176*v**3.
-v**3
Collect the terms in -40*y**3 - 16*y**2 + 22*y**3 + 19*y**3.
y**3 - 16*y**2
Collect the terms in 5*i**2 + 8*i - 4*i**2 + 2*i**2 - 28*i.
3*i**2 - 20*i
Collect the terms in -2 + s**2 + 6 + 0*s**2.
s**2 + 4
Collect the terms in 6*h - 11*h**2 - 6*h + 9*h**2 + 0*h.
-2*h**2
Collect the terms in 146 - 292 - 70*n**2 + 146.
-70*n**2
Collect the terms in -18*i**2 + 3*i**2 + 6*i**2 + 11*i**2.
2*i**2
Collect the terms in 2*i**2 - 2*i**3 + 11*i**2 - 17*i**2 + 4*i**2.
-2*i**3
Collect the terms in 8*p**3 + 48*p - 48*p.
8*p**3
Collect the terms in -196 - 191 + 387 + 23*m.
23*m
Collect the terms in -15 + 15 + 335*a.
335*a
Collect the terms in 4*k**2 - 3*k**2 + 2*k**2 + 9*k**2.
12*k**2
Collect the terms in -6*l**3 + 0 - 9*l**3 + 0.
-15*l**3
Collect t | {
"pile_set_name": "DM Mathematics"
} |
s'th term of -6709, -13374, -20039, -26704, -33369, -40034?
-6665*s - 44
What is the d'th term of -95, -49, -7, 31?
-2*d**2 + 52*d - 145
What is the h'th term of 185, -95, -377, -661, -947?
-h**2 - 277*h + 463
What is the k'th term of -283, -2338, -7921, -18802, -36751, -63538, -100933, -150706?
-295*k**3 + 6*k**2 - 8*k + 14
What is the a'th term of -268, -283, -328, -421, -580, -823, -1168, -1633?
-3*a**3 + 3*a**2 - 3*a - 265
What is the o'th term of 10528, 10529, 10530, 10531?
o + 10527
What is the a'th term of 566, 545, 550, 575, 614, 661, 710, 755?
-a**3 + 19*a**2 - 71*a + 619
What is the p'th term of 1838, 1693, 1548, 1403?
-145*p + 1983
What is the t'th term of -6457, -25837, -58123, -103303, -161365, -232297, -316087, -412723?
2*t**3 - 6465*t**2 + t + 5
What is the f'th term of 152791, 152792, 152793?
f + 152790
What is the u'th term of -1582, -6365, -14338, -25501, -39854, -57397, -78130?
-1595*u**2 + 2*u + 11
What is the k'th term of -281, -2327, -7901, -18773, -36713?
-295*k**3 + 6*k**2 + k + 7
What is the l'th term of -651141, -1302282, -1953423, -2604564, -3255705?
-651141*l
What is the i'th term of -6985, -7011, -7037, -7063?
-26*i - 6959
What is the j'th term of 594, 218, -158, -534, -910?
-376*j + 970
What is the h'th term of -619, -1239, -1859, -2473, -3075, -3659, -4219?
h**3 - 6*h**2 - 609*h - 5
What is the x'th term of -19992, -20008, -20024, -20040, -20056, -20072?
-16*x - 19976
What is the z'th term of -61644, -61644, -61628, -61590, -61524, -61424, -61284?
z**3 + 2*z**2 - 13*z - 61634
What is the l'th term of 432328, 432326, 432322, 432316, 432308, 432298, 432286?
-l**2 + l + 432328
What is the g'th term of 3103, 6230, 9369, 12508, 15635, 18738, 21805, 24824?
-2*g**3 + 18*g**2 + 3087*g
What is the g'th term of 89707, 358842, 807399, 1435378, 2242779?
89711*g**2 + 2*g - 6
What is the n'th term of -3198, -2982, -2790, -2628, -2502, -2418, -2382, -2400?
-n**3 - 6*n**2 + 241*n - 3432
What is the u'th term of 466, 381, 276, 151, 6?
-10*u**2 - 55*u + 531
What is the v'th term of 363, 2798, 9417, 22314, 43583, 75318, 119613?
349*v**3 - 2*v**2 - 2*v + 18
What is the g'th term of 1690, 1708, 1740, 1792, 1870, 1980, 2128?
g**3 + g**2 + 8*g + 1680
What is the o'th term of -3987, -3995, -4015, -4053, -4115, -4207?
-o**3 - o - 3985
What is the d'th term of 1778, 3572, 5524, 7712, 10214, 13108, 16472, 20384?
13*d**3 + d**2 + 1700*d + 64
What is the t'th term of -139561, -279124, -418687?
-139563*t + 2
What is the f'th term of -73279, -146564, -219851, -293140, -366431, -439724, -513019?
-f**2 - 73282*f + 4
What is the o'th term of 7047, 6935, 6823?
-112*o + 7159
What is the c'th term of -482, -571, -670, -779, -898, -1027?
-5*c**2 - 74*c - 403
What is the i'th term of -1065, -1708, -2351, -2994?
-643*i - 422
What is the h'th term of 5161455, 5161454, 5161453, 5161452, 5161451, 5161450?
-h + 5161456
What is the m'th term of -6252, -12503, -18754, -25005, -31256, -37507?
-6251*m - 1
What is the i'th term of 144077, 144076, 144075?
-i + 144078
What is the z'th term of 9274, 18432, 27592, 36754, 45918, 55084?
z**2 + 9155*z + 118
What is the t'th term of -159, 104, 547, 1170?
90*t**2 - 7*t - 242
What is the d'th term of -143, -446, -959, -1688, -2639, -3818?
-d**3 - 99*d**2 + d - 44
What is the m'th term of 225547, 225570, 225593, 225616, 225639, 225662?
23*m + 225524
What is the f'th term of 19649, 19637, 19623, 19607, 19589, 19569?
-f**2 - 9*f + 19659
What is the w'th term of -2453, -10216, -23155, -41270, -64561, -93028, -126671?
-2588*w**2 + w + 134
What is the o'th term of -6422, -6412, -6396, -6374, -6346?
3*o**2 + o - 6426
What is the l'th term of 6450, 6454, 6460, 6468, 6478, 6490?
l**2 + l + 6448
What is the g'th term of 402985, 805973, 1208961, 1611949, 2014937?
402988*g - 3
What is the t'th term of -326, -1303, -2820, -4787, -7114, -9711, -12488, -15355?
15*t**3 - 360*t**2 - 2*t + 21
What is the y'th term of 96001, 95994, 95985, 95974, 95961?
-y**2 - 4*y + 96006
What is the n'th term of 1414, 1812, 2210, 2608, 3006, 3404?
398*n + 1016
What is the w'th term of 12007, 24016, 36025, 48034, 60043, 72052?
12009*w - 2
What is the u'th term of -397, -360, -323, -286, -249?
37*u - 434
What is the y'th term of 1720, 1550, 1092, 202, -1264, -3450, -6500?
-24*y**3 - 2*y + 1746
What is the g'th term of 158, 136, 88, 2, -134, -332, -604, -962?
-2*g**3 - g**2 - 5*g + 166
What is the c'th term of -45497, -90981, -136463, -181943, -227421, -272897, -318371?
c**2 - 45487*c - 11
What is the m'th term of 336, 732, 1162, 1626, 2124, 2656, 3222?
17*m**2 + 345*m - 26
What is the b'th term of 804, 293, -1096, -3801, -8260?
-73*b**3 - b**2 + 3*b + 875
What is the j'th term of -14, -8, 44, 172, 406, 776, 1312, 2044?
5*j**3 - 7*j**2 - 8*j - 4
What is the g'th term of -280783, -280786, -280791, -280798, -280807?
-g**2 - 280782
What is the n'th term of 165, 702, 1597, 2850, 4461, 6430?
179*n**2 - 14
What is the m'th term of 2509, 5008, 7501, 9988?
-3*m**2 + 2508*m + 4
What is the a'th term of 472, 811, 874, 523, -380, -1973, -4394, -7781?
-23*a**3 + 500*a - 5
What is the c'th term of -1065, -1033, -1001, -969?
32*c - 1097
What is the h'th term of 48, -25, -184, -459, -880, -1477, -2280, -3319?
-5*h**3 - 13*h**2 + h + 65
What is the n'th term of 1715, 635, -445, -1525?
-1080*n + 2795
What is the l'th term of 67009, 66937, 66859, 66769, 66661?
-l**3 + 3*l**2 - 74*l + 67081
What is the h'th term of -238, -504, -786, -1066, -1326, -1548, -1714?
3*h**3 - 26*h**2 - 209*h - 6
What is the o'th term of -2202, -4638, -7074, -9510, -11946?
-2436*o + 234
What is the b'th term of -15194, -15201, -15210, -15221, -15234, -15249?
-b**2 - 4*b - 15189
What is the j'th term of -19, 155, 625, 1541, 3053, 5311, 8465?
25*j**3 - 2*j**2 + 5*j - 47
What is the p'th term of -28662, -57326, -85990, -114654, -143318, -171982?
-28664*p + 2
What is the w'th term of -1740, -3493, -5246?
-1753*w + 13
What is the b'th term of -13038, -52139, -117306, -208539, -325838, -469203, -638634?
-13033*b**2 - 2*b - 3
What is the z'th term of -19719, -19732, -19741, -19746, -19747?
2*z**2 - 19*z - 19702
What is the n'th term of 5967, 11983, 18001, 24021, 30043, 36067?
n**2 + 6013*n - 47
What is the s'th term of 1456, 5880, 13254, 23578, 36852, 53076, 72250?
1475*s**2 - s - 18
What is the n'th term of 214, 129, -12, -209, -462, -771, -1136?
-28*n**2 - n + 243
What is the r'th term of 913, 3571, 7975, 14125?
873*r**2 + 39*r + 1
What is the g'th term of 95485, 191012, 286551, 382108, 477689, 573300, 668947, 764636?
g**3 + 95520*g - 36
What is the j'th term of -17512, -35016, -52514, -70006, -87492, -104972?
3*j**2 - 17513*j - 2
What is the s'th term of -119, -82, -33, 28, 101?
6*s**2 + 19*s - 144
What is the a'th term of 623, 2530, 5745, 10298, 16219, 23538, 32285?
5*a**3 + 624*a**2 - 6
What is the k'th term of -132, -614, -1418, -2532, -3944, -5642, -7614?
2*k**3 - 173*k**2 + 23*k + 16
What is the z'th term of 44957, 44966, 44981, 45002, 45029?
3*z**2 + 44954
What is the d'th term of 604, 2410, 5422, 9640?
603*d**2 - 3*d + 4
What is the r'th term of 3350, 6704, 10068, 13442?
5*r**2 + 3339*r + 6
What is the c'th term of -224786, -224785, -224786, -224789, -224794, -224801, -224810?
-c**2 + 4*c - 224789
What is the p'th term of -95, -322, -699, -1226, -1903, -2730?
-75*p**2 - 2*p - 18
What is the m'th term of 42596, 42625, 42670, 42725, 42784, 42841?
-m**3 + 14*m**2 - 6*m + 42589
What is the z'th term of 490, -346, -1188, -2036, -2890, -3750?
-3*z**2 - 827*z + 1320
What is the g'th term of 300065, 300062, 300057, 300050?
-g**2 + 300066
What is the y'th term of -1584, -3046, -4502, -5952, -7396, -8834?
3*y**2 - 1471*y - 116
What is the u'th term of 1598, 3318, 5038, 6758?
1720*u - 122
What is the s'th term of -34, -38, -64, -118, -206?
-s**3 - 5*s**2 + 18*s - 46
What is the b'th term of 171, 423, 675, 927, 1179, 1431?
252*b - 81
What is the j'th term of 82396, 164791, 247186, 329581?
82395*j + 1
What is the r'th term of 12612, 12594, 12568, 12534, 12492, 12442, 12384?
-4*r**2 - 6*r + 12622
What is the o'th term of 432, 927, 1536, 2301, 3264, 4467, 5952, 7761?
7*o**3 + 15*o**2 + 401*o + 9
What is the v'th term of -367368, -367361, -367354?
7*v - 367375
What is the j'th term of 5705, 11412, 17119, 2282 | {
"pile_set_name": "DM Mathematics"
} |
lue? (a) 0.1 (b) -18 (c) -2086/5
b
Which is the sixth smallest value? (a) -3 (b) -0.022 (c) 3 (d) -1/3 (e) -2/3 (f) 1
c
What is the second smallest value in -1, 0.8, 54, 5?
0.8
Which is the second smallest value? (a) -4 (b) 295 (c) 0.09
c
Which is the biggest value? (a) 4 (b) 0.4 (c) 0.5 (d) -0.4 (e) -0.00282
a
What is the third biggest value in 5, 511, 0.03?
0.03
What is the second biggest value in -39, -5, -187, -3/4?
-5
Which is the fourth smallest value? (a) -5 (b) -21 (c) 0.013 (d) 0 (e) -1/4 (f) -1
e
Which is the third biggest value? (a) 29 (b) -0.2 (c) -5/4
c
Which is the second biggest value? (a) -2/31 (b) -1 (c) 0.74 (d) -0.4
a
Which is the second smallest value? (a) 1/3 (b) 0.5 (c) -101 (d) -2 (e) -13
e
Which is the fourth smallest value? (a) -0.09 (b) -6 (c) 0.2 (d) 6 (e) -0.7
c
What is the second smallest value in -0.03, 8, 2/21, -1/2, 1.1?
-0.03
What is the third smallest value in 156/145, -2, 3?
3
Which is the second biggest value? (a) 4 (b) 6 (c) 3/4 (d) 0.5 (e) 3/103
a
Which is the second biggest value? (a) 3 (b) -326 (c) -5 (d) 14 (e) 2/9
a
What is the fourth biggest value in 0.2, 2/9, -1, -44, -1/4?
-1
What is the smallest value in 1/4, -0.0273, -15?
-15
What is the second smallest value in -43, -3, 1, -2/3, 1/8?
-3
What is the third smallest value in -1/4, 12.74, -9, 1/4?
1/4
Which is the sixth smallest value? (a) 2.5 (b) -0.4 (c) -3 (d) 0.1 (e) 1 (f) 62
f
Which is the fourth biggest value? (a) 2 (b) -0.128 (c) -7 (d) 3/4 (e) -0.1 (f) 3/5
e
What is the biggest value in 1/2, -1/2, -114, -304?
1/2
What is the biggest value in 3, -4, 115/13, 2?
115/13
Which is the third biggest value? (a) -4 (b) 5507 (c) 0 (d) 6/13 (e) -5
c
Which is the fourth biggest value? (a) 7 (b) -3 (c) 2 (d) -30
d
Which is the second smallest value? (a) 15/217 (b) 5 (c) -0.51 (d) 1
a
What is the second biggest value in -5.6, -23, -3/5, 4, 0.3, -0.1?
0.3
What is the fifth smallest value in 6, 2, -5, -0.05528, 2/13?
6
Which is the fifth biggest value? (a) -1 (b) -2 (c) 2/645 (d) 4/5 (e) -0.1
b
What is the second biggest value in 1/6, 96, 0.01, 0.026?
1/6
What is the biggest value in -251, 2, 101?
101
What is the smallest value in 3, 9.3, 305/59?
3
What is the fourth smallest value in 0, -1, 0.5, 22?
22
Which is the smallest value? (a) -2/7 (b) 17 (c) 524
a
Which is the second biggest value? (a) 1/2 (b) 2727 (c) 1/5 (d) -3
a
Which is the smallest value? (a) -0.06 (b) 3 (c) 5.8
a
What is the sixth biggest value in -2, 1/2, 1, 2/11, 5/3, -5?
-5
What is the third smallest value in -4, 1/5, -2/9, 135.2, 2, 4?
1/5
What is the fifth smallest value in 6.2, 1/2, 1/30, -3, 1, -2/9?
1
What is the second biggest value in 0.1, 1/6, 0, 0.4, -170?
1/6
Which is the fourth biggest value? (a) -32 (b) -1 (c) 3/7 (d) 0.16
a
Which is the fifth biggest value? (a) -5 (b) -3 (c) 1/3 (d) -4 (e) -3/89
a
Which is the second smallest value? (a) -1 (b) -12 (c) -6 (d) 4
c
Which is the second biggest value? (a) -0.3 (b) -773/40 (c) 5
a
What is the second biggest value in -2/65, -0.49, 0.042, -0.2?
-2/65
Which is the third biggest value? (a) -17 (b) -89 (c) 4 (d) -2 (e) 0.3
d
What is the third smallest value in -0.24246, 5, 1/7?
5
Which is the second biggest value? (a) 0.3 (b) 0 (c) 0.07298
c
Which is the fourth biggest value? (a) 2/5 (b) 0 (c) -1/2 (d) 6/7
c
Which is the third smallest value? (a) -3887 (b) 2/3 (c) -1 (d) 0.4
d
Which is the fourth biggest value? (a) -0.2 (b) 0.02 (c) -15 (d) 14 (e) -0.4
e
Which is the second biggest value? (a) 0 (b) -53.7 (c) -3/4 (d) 3 (e) 76
d
Which is the biggest value? (a) -15 (b) -4 (c) -5207 (d) -1
d
What is the smallest value in -4, 53, 2/831?
-4
Which is the second biggest value? (a) -6 (b) 0.2 (c) 3/241 (d) 0.5
b
What is the fourth biggest value in -1/8, 0.3, 5, 68?
-1/8
What is the biggest value in 2863, -5/2, -5, -4?
2863
Which is the smallest value? (a) -1 (b) 486 (c) -20 (d) 0.02 (e) -3
c
What is the smallest value in -3/5, -72177, 4?
-72177
Which is the second biggest value? (a) 1.6 (b) 0.3 (c) 2/5 (d) -264 (e) 5
a
Which is the fifth biggest value? (a) -1 (b) -28/3 (c) 4 (d) -0.356 (e) -3/8
b
What is the second smallest value in 2, 0.5, 58/7, 4, -8, 0?
0
Which is the third smallest value? (a) -3/109 (b) 2 (c) -12
b
Which is the third biggest value? (a) 3/8 (b) -282 (c) 1.1 (d) 0.3
d
What is the second biggest value in 40, 2, -2/11, -14, -1, 74?
40
What is the biggest value in 2, -17, -20?
2
Which is the second biggest value? (a) 5 (b) -1/9 (c) -1/5 (d) -1/3 (e) -1
b
What is the second smallest value in -1/15, 2/15, -4462?
-1/15
What is the smallest value in -2.726, -0.2, -0.08?
-2.726
What is the biggest value in 24, 0.01, 2, -8, 2/33?
24
Which is the third smallest value? (a) -2 (b) -680.8 (c) 4
c
What is the fourth smallest value in 10, 25, -2/15, 5/3?
25
What is the smallest value in 3/5, -2.2, -5, 396/13?
-5
What is the third biggest value in -2/87, 2/7, 3/4, 0.4, 1?
0.4
Which is the second biggest value? (a) 13 (b) -0.2 (c) 891
a
What is the fifth biggest value in -39, 0.2, -15.6, -3/7, 3?
-39
What is the third biggest value in -0.3, -5, -1/117, 2/15?
-0.3
Which is the third smallest value? (a) 5 (b) 21 (c) -3/4 (d) 114 (e) -73
a
Which is the smallest value? (a) 5 (b) -0.4 (c) -0.3 (d) 2/15 (e) 14
b
What is the biggest value in -10738, -29, 1?
1
Which is the smallest value? (a) -0.0169 (b) 12/5 (c) 0.1 (d) 1
a
What is the second biggest value in 1/6, 3, -0.2, -7166?
1/6
Which is the third smallest value? (a) 18 (b) 4 (c) -23.77
a
What is the fifth smallest value in 3, -0.5, 5/4, -7/5, -13, -5?
5/4
What is the second smallest value in 2/5, -4228, 4, -5?
-5
Which is the fourth biggest value? (a) 4 (b) -3 (c) 1/4 (d) 4757
b
Which is the fifth biggest value? (a) -5 (b) 0 (c) 4/7 (d) 1 (e) -2/3
a
What is the fourth smallest value in -7/4, 87, -1, -1/8, 0.5, 0?
0
What is the fourth biggest value in 6.9, 2/9, 6, 3, 1.6, 5?
3
Which is the biggest value? (a) -7.8 (b) -2 (c) -93 (d) 2/5
d
What is the second smallest value in -3, 1336, -2, 0.013?
-2
Which is the fourth biggest value? (a) 0.1 (b) -3 (c) -4 (d) 3/2 (e) 97/5
b
Which is the second smallest value? (a) -121 (b) 2/3 (c) 4 (d) 1/205 (e) -2
e
What is the biggest value in -2, -2/9, 278, -272?
278
What is the fifth biggest value in 2/5, 13, 3, -40, -5/3?
-40
Which is the third smallest value? (a) 1/5 (b) -310 (c) -0.17 (d) 0.3
a
What is the fifth smallest value in -720, -0.06, 2/3, -8/9, -0.3?
2/3
What is the third biggest value in 17, -4, 0.9, 2/5, -1/4?
2/5
What is the second smallest value in 202, -5, 5, 0.075, 2/17?
0.075
Which is the third smallest value? (a) -5209 (b) 3/191 (c) -4/7
b
What is the third biggest value in -0.5, 698, -2, -6, 61?
-0.5
What is the fourth smallest value in -2, -921, -0.2, -3, 0?
-0.2
What is the biggest value in -2, 13, -7/4, -0.4, 0.09?
13
Which is the smallest value? (a) 2 (b) 11 (c) 42/19
a
What is the third biggest value in -133/3, -2/7, 0.4, 8/3?
-2/7
Which is the fourth smallest value? (a) -0.1 (b) 2/13 (c) -5 (d) 1/2 (e) -0.21
b
What is the second smallest value in 5, 9490, -0.1?
5
What is the second smallest value in -2/13, -1/69, -1/6, -1, 2/21?
-1/6
What is the fourth biggest value in 4, -17, 1.3, 0.395?
-17
What is the smallest value in 16, -13/7, 0, -1, 3?
-13/7
What is the third biggest value in -0.17, 516/5, 5?
-0.17
Which is the third smallest value? (a) -4 (b) -3/5 (c) -12/19
b
Which is the sixth smallest value? (a) 3 (b) 0 (c) 1/3 (d) 44 (e) -49 (f) -2/7
d
What is the fourth biggest value in -1/5, 2/25, -114, -16, 0?
-16
Which is the third biggest value? (a) -0.3 (b) 0.14 (c) 703
a
What is the second smallest value in -2/5, -4, -1, -7.22?
-4
What is the biggest value in 0.1, 5, -4, 5597?
5597
What is the fourth biggest value in -2, -4, 3/66235, -1/3?
-4
What is the smallest value in -0.23, -38, 0.4, 0.07, -2?
-38
Which is the smallest value? (a) -81 (b) 3/5 (c) -2/3803
a
Which is the second biggest value? (a) 0.393477 (b) 0.2 (c) 9
a
What is the second smallest value in 2, -0.4, 1/4, 488, 42?
1/4 | {
"pile_set_name": "DM Mathematics"
} |
s picked without replacement from kokkkokkok?
7/40
Two letters picked without replacement from aaaaa. Give prob of sequence aa.
1
Four letters picked without replacement from sxssssssxssssxssssss. What is prob of sequence xxxx?
0
Four letters picked without replacement from drfywdyzyywfyyryyyyz. Give prob of sequence rzyd.
2/2907
Three letters picked without replacement from {e: 4, x: 1, p: 1, g: 4}. What is prob of sequence xpe?
1/180
Two letters picked without replacement from uukuummuumkmum. Give prob of sequence um.
5/26
Calculate prob of sequence gggg when four letters picked without replacement from gggggg.
1
What is prob of sequence llll when four letters picked without replacement from {l: 4}?
1
What is prob of sequence jsl when three letters picked without replacement from jtsllslllljl?
7/330
What is prob of sequence jvqy when four letters picked without replacement from yjqvqy?
1/90
What is prob of sequence zpnb when four letters picked without replacement from nnnnnpppnpnnzpnppbz?
7/5168
Two letters picked without replacement from {s: 4, k: 8, y: 4}. Give prob of sequence ys.
1/15
Three letters picked without replacement from gwgwwggwlwgglwwflw. Give prob of sequence llw.
1/102
What is prob of sequence bf when two letters picked without replacement from fqqqqfffqbqbq?
2/39
What is prob of sequence puhu when four letters picked without replacement from {h: 6, p: 7, u: 3, x: 3}?
7/2584
Two letters picked without replacement from {r: 1, n: 1, h: 2, y: 2, u: 1}. What is prob of sequence yy?
1/21
Two letters picked without replacement from {r: 1, t: 1, l: 1, f: 2, o: 2}. Give prob of sequence or.
1/21
Two letters picked without replacement from {i: 3, v: 5, l: 5, b: 2}. What is prob of sequence bi?
1/35
Calculate prob of sequence pzzr when four letters picked without replacement from ttzrrptrzzrtzrz.
5/1638
Calculate prob of sequence fhhj when four letters picked without replacement from uujhfh.
1/180
Three letters picked without replacement from {x: 5, u: 2, p: 2, h: 4}. Give prob of sequence hph.
2/143
Two letters picked without replacement from aaaaoaggaawarwogggw. Give prob of sequence go.
5/171
Three letters picked without replacement from bbkxkbkbxxx. What is prob of sequence xxb?
8/165
Calculate prob of sequence rh when two letters picked without replacement from {r: 5, h: 4, d: 3, x: 1}.
5/39
Two letters picked without replacement from {u: 5, v: 1, m: 3, o: 1, q: 2}. What is prob of sequence qo?
1/66
Three letters picked without replacement from {g: 4, q: 2, x: 10}. Give prob of sequence xgx.
3/28
Calculate prob of sequence wa when two letters picked without replacement from ttttavtatpetvw.
1/91
What is prob of sequence prfr when four letters picked without replacement from iqfqiipppqqqiqqrri?
1/12240
Four letters picked without replacement from jndpdcjppjpdpd. What is prob of sequence pdjd?
15/2002
Two letters picked without replacement from tjtt. What is prob of sequence jt?
1/4
What is prob of sequence wkq when three letters picked without replacement from {q: 1, d: 8, w: 5, k: 2}?
1/336
Three letters picked without replacement from ggggyyyyygyyyyyyyy. Give prob of sequence yyy.
143/408
Two letters picked without replacement from pqq. Give prob of sequence qp.
1/3
Calculate prob of sequence jr when two letters picked without replacement from cbbcjjcjrcrcjjjcjc.
7/153
Two letters picked without replacement from {d: 3, j: 4, u: 1, p: 8, w: 3}. What is prob of sequence pj?
16/171
Three letters picked without replacement from {t: 3, h: 6, m: 4, r: 1}. What is prob of sequence rth?
3/364
Four letters picked without replacement from zczcczzczccddzzzz. Give prob of sequence zczc.
9/238
Four letters picked without replacement from hnhhhhhkhqkhloh. What is prob of sequence lhoh?
1/455
What is prob of sequence pu when two letters picked without replacement from {u: 4, p: 7, b: 2}?
7/39
Calculate prob of sequence fp when two letters picked without replacement from {z: 1, k: 4, r: 1, f: 4, p: 1}.
2/55
Two letters picked without replacement from {s: 1, m: 4, l: 2, b: 2, d: 1, v: 7}. Give prob of sequence sb.
1/136
Calculate prob of sequence pk when two letters picked without replacement from epppk.
3/20
Four letters picked without replacement from {k: 2, w: 3, x: 2, b: 2}. Give prob of sequence wwxx.
1/252
What is prob of sequence kus when three letters picked without replacement from kkooksuoskkks?
3/286
What is prob of sequence zny when three letters picked without replacement from {p: 2, z: 1, e: 1, n: 4, y: 10}?
5/612
Two letters picked without replacement from fpeenjnpnfjjfunp. What is prob of sequence fj?
3/80
Three letters picked without replacement from tggwwgtnxltx. Give prob of sequence xgt.
3/220
Two letters picked without replacement from {z: 10, v: 2}. What is prob of sequence vz?
5/33
Three letters picked without replacement from gacclqcacc. Give prob of sequence gql.
1/720
What is prob of sequence wwb when three letters picked without replacement from {b: 2, f: 4, w: 2, i: 4}?
1/330
Calculate prob of sequence zzz when three letters picked without replacement from zzzzzzzzz.
1
Calculate prob of sequence oqoq when four letters picked without replacement from {g: 1, q: 4, o: 2}.
1/35
Two letters picked without replacement from {s: 5, k: 3, a: 8}. What is prob of sequence ak?
1/10
Calculate prob of sequence aeba when four letters picked without replacement from anmbenaaba.
1/210
Two letters picked without replacement from {c: 1, k: 2, u: 2}. Give prob of sequence kk.
1/10
Three letters picked without replacement from quul. Give prob of sequence qul.
1/12
Three letters picked without replacement from {m: 4, g: 10, h: 2}. Give prob of sequence hmm.
1/140
What is prob of sequence cgy when three letters picked without replacement from {g: 10, t: 3, c: 2, y: 2, b: 2}?
20/2907
Two letters picked without replacement from {y: 2, n: 2, s: 7, e: 7}. Give prob of sequence en.
7/153
What is prob of sequence yiyu when four letters picked without replacement from {i: 7, q: 1, u: 1, y: 5}?
5/858
What is prob of sequence xyx when three letters picked without replacement from {x: 3, y: 17}?
17/1140
Calculate prob of sequence ke when two letters picked without replacement from verqrkr.
1/42
What is prob of sequence dz when two letters picked without replacement from {d: 2, z: 1, c: 7}?
1/45
Four letters picked without replacement from {x: 3, u: 1, c: 1, a: 8, y: 4}. Give prob of sequence aucy.
1/1785
Calculate prob of sequence nttg when four letters picked without replacement from {g: 2, t: 10, n: 2}.
15/1001
Four letters picked without replacement from {g: 2, d: 1, t: 1, w: 5, a: 8}. Give prob of sequence wtwg.
1/1428
What is prob of sequence iafa when four letters picked without replacement from {w: 2, g: 3, i: 1, a: 5, f: 6}?
1/476
Two letters picked without replacement from {o: 3, f: 6, p: 1, x: 1, j: 1}. Give prob of sequence oo.
1/22
Two letters picked without replacement from {w: 7, r: 9, a: 3}. What is prob of sequence aw?
7/114
Two letters picked without replacement from bqbtp. Give prob of sequence qb.
1/10
Calculate prob of sequence ovso when four letters picked without replacement from {v: 1, j: 1, s: 1, k: 8, o: 8}.
7/11628
What is prob of sequence ueeu when four letters picked without replacement from euueuuu?
1/21
What is prob of sequence qr when two letters picked without replacement from {n: 7, y: 1, l: 2, r: 1, q: 4}?
2/105
Calculate prob of sequence jzjj when four letters picked without replacement from jzjzzjjzzz.
1/35
What is prob of sequence lle when three letters picked without replacement from {a: 4, m: 1, e: 3, y: 2, l: 2, x: 2}?
1/364
Three letters picked without replacement from {v: 10, d: 9, p: 1}. Give prob of sequence vvv.
2/19
Four letters picked without replacement from {j: 6, d: 2, s: 3, v: 4}. What is prob of sequence ssvd?
2/1365
Three letters picked without replacement from {w: 6, u: 2}. Give prob of sequence uwu.
1/28
Three letters picked without replacement from {i: 4, v: 7, y: 2}. Give prob of sequence iyv.
14/429
Four letters picked without replacement from {n: 17, z: 2}. What is prob of sequence znnz?
1/171
What is prob of sequence owow when four letters picked without replacement from {w: 5, o: 2}?
1 | {
"pile_set_name": "DM Mathematics"
} |
(3). What is the smallest value in -2/3, w, v?
v
Let y be -9*(-10)/(2100/10). What is the third smallest value in 0.5, -1/2, y?
0.5
Let q = 1304.948 - 1305. Which is the third biggest value? (a) -1 (b) q (c) 0.5 (d) 0.4
b
Let k = -19 + 70. Let z = 49 - k. What is the third biggest value in -6, -1, 2, z?
z
Let y = 5.32 + -5.02. Let v(h) = h - 4. Let m be v(5). Which is the smallest value? (a) y (b) 3 (c) m (d) 0.4
a
Let y = -107.8 - -89. Let f = -3.8 - y. Which is the fourth smallest value? (a) f (b) -0.4 (c) 2 (d) 0.4
a
Let w = -4 - -4.4. Let u = -0.043 - -0.443. Let s = w - u. What is the biggest value in 2/7, s, 3?
3
Let g be (-9)/(-7) - (1 - 0). Let x = 69 - 69.1. What is the third smallest value in g, x, -1?
g
Let o = 0.06 - 1.63. Let l = 0.27 + o. Let p = l + 1.6. What is the second smallest value in -4, -8, p?
-4
Let t be 50/(-8) - (-1)/4. Let j be (36/t)/(3/(-26)). Let f = j + -313/6. What is the second biggest value in -1/2, -4, f?
-1/2
Suppose -24 = -2*t - t. Suppose -t = -r + 5*r. Let x be 2 - -1 - (1 - r). Which is the third biggest value? (a) 0.1 (b) x (c) -0.1
c
Suppose 3*w + 25*c - 20*c = 25, c - 2 = 0. What is the biggest value in 1/5, w, -4?
w
Let k = -93 - -747/8. Let s = 16 + -14. Let u be 7/(-14) - (-2 + (-10)/(-4)). Which is the second smallest value? (a) u (b) k (c) s
b
Let n = -263 + 1059/4. Let r = 97/60 - n. What is the third biggest value in r, -2/17, 5?
r
Let p = -674 - -22917/34. What is the second smallest value in p, -0.3, 0.2?
p
Suppose -2*j = 3*a - 48, -4*j + a + 18 = -50. Let t = -1455 - -1453. What is the biggest value in j, 6/5, 1/5, t?
j
Let y(b) = -2*b + 168. Let i be y(0). Suppose z = -5*z + i. What is the smallest value in 3, 0, z?
0
Let y(x) = x**2 + 29*x - 10. Let d be y(-29). Let k be ((-2)/(-4))/(2/8*d). Let m = -37/20 - -13/5. Which is the second biggest value? (a) 0 (b) k (c) m
a
Let g = -660 - -662. Let q = -386/3 - -130. Which is the second biggest value? (a) -1/4 (b) -4 (c) g (d) q
d
Let i = -6 - -13. Suppose l + i - 1 = 0. Let p be 9/(-15)*(-4)/l. Which is the third smallest value? (a) 4 (b) p (c) 0.5
a
Suppose 3*q - 4*s = -40, 5*s - 13 = 2*q + 16. Which is the second biggest value? (a) q (b) -0.5 (c) -14 (d) 2/5
b
Let v = -0.02 + 0.01. Let z = v - -4.01. Which is the biggest value? (a) 0.4 (b) z (c) -2
b
Let w = -160/11 - -331/22. What is the third biggest value in -3, 0.4, w?
-3
Suppose 4 = -4*w - 4*v, w + 2*v + 0 = 1. Let l be -1 - -4 - (-13)/w. Let c = 0.08 + -3.08. What is the second biggest value in c, 0.4, l?
l
Let i be 18/4 + 3/(-6). Let s = 5.9 - 4. Let f = s + -1.7. Which is the second smallest value? (a) i (b) f (c) -3/4
b
Let n = 1.422 + -1.522. What is the biggest value in 362, -1/2, n?
362
Suppose g + 2*z + 1 = 0, -z = 2*z + 6. Suppose -68 + 14 = -g*w. Let f be (-9)/60*15/w. Which is the third biggest value? (a) -2 (b) f (c) 4
a
Let f = 0.06 + 28.94. Let x = -24 + f. Let j be (5/(-2))/(6/(-4)). What is the smallest value in j, -3, x?
-3
Let w = -24 + 0. Which is the third smallest value? (a) w (b) 0.04 (c) -1/4
b
Let r = 0.06 - -1.74. Let j = r - 6.8. Let b = 0.3 - 0.8. What is the second biggest value in -2, b, j?
-2
Let r = 606 - 611. What is the second biggest value in r, -1, 0.3, -0.1?
-0.1
Let a = -2/841 - -19361/7569. Let t be 344/(-90) - (-2)/3. Let o = a + t. What is the third smallest value in -0.5, 0.4, o?
0.4
Let u be (-10)/(-45) + (105/(-54))/(-7). Which is the second biggest value? (a) 1 (b) -8 (c) u
c
Let c = -14 - -13.905. Let n = c + -0.205. What is the third smallest value in -1/3, n, -0.06?
-0.06
Let l = -0.39 - 0.01. Let g be (9/45)/((-4)/(-10)). Which is the third biggest value? (a) l (b) g (c) -2/7
a
Let g = -5 - -7. Suppose 2*b = -5*m + 11 + 22, 2*b - g*m = -2. What is the biggest value in b, -0.1, -2?
b
Let p = -67 - -85. Let o be (-1 - p/(-4)) + (-6)/2. Which is the third biggest value? (a) 2/27 (b) 3/7 (c) o
a
Let v = -188.3 + 189. Which is the third smallest value? (a) v (b) 3/8 (c) 0.1 (d) 2/9
b
Let n = 2899/8 + -362. Which is the smallest value? (a) 2/11 (b) n (c) -1.1
c
Let y = 1047.9 + -1050. Which is the second biggest value? (a) 4 (b) y (c) 1
c
Let o = -103.4 - -97.19. Let w = o + 6.5. Let m = -0.21 - w. Which is the second biggest value? (a) 0.3 (b) 3 (c) m
a
Let i = -0.04 - -13.04. Let s = i + -21. Let x = s - -13. Which is the third biggest value? (a) x (b) -1/6 (c) 3
b
Let f = 20 - 18.85. Let h = 1.2 - f. Let a = 0.55 - h. What is the second smallest value in 3, a, -2/15?
a
Let k = -27 + 29.9. Let p = k - 16.9. Let h = p - -12. What is the smallest value in 1/9, h, 4?
h
Let o = 3476/36939 - -2/1759. What is the second biggest value in 5, -1/4, o, 0?
o
Let q = 169 - 170.9. What is the fourth biggest value in -3, -2, q, -4?
-4
Let s = -1813 - -1810. Let l be 3/1*2/(-8). Which is the second smallest value? (a) l (b) -1 (c) s (d) 3
b
Let b = -0.03 + -0.17. Let z = 187 + -183. What is the third smallest value in b, 1/2, z, -1/3?
1/2
Let k = 0.148 - -0.152. Let g = -6 - -4. Which is the third smallest value? (a) k (b) 0.14 (c) g
a
Let x = 1.5 - -1.2. Let s = x + -0.7. What is the biggest value in -0.5, s, -3/4?
s
Let r = 326.3 - 233. Let f = r - 93. What is the third biggest value in 0, 4, f?
0
Let a be 1*18 + 7 + -10. Let d = a - 10. Suppose 0 = -d*g - r - 11, 3*g + r + 7 = -0. What is the third biggest value in 0.5, g, 1/6?
g
Let j be (7*(-6)/(-210))/((-6)/(-5)). What is the second biggest value in -4, -12, j, -2?
-2
Let c = 1640 - 1644. What is the second smallest value in 2/5, -35.1, c?
c
Let g = 60 + -74. Which is the biggest value? (a) 3/2 (b) 4 (c) g (d) -2
b
Let h = -7 + 9. Let b = 1761/7 - 252. What is the biggest value in b, h, -1?
h
Let o be -2 - -7*(-2)/(-6). Let t be 1/(-3) - (-74)/6. Let j(n) = n**2 - 10*n - 24. Let a be j(t). What is the third smallest value in o, a, -2/11?
o
Suppose 5*g + 5*v - v - 840 = 0, 5*v - 517 = -3*g. Let s = g - 1478/9. Let n = -0.11 - -5.11. What is the second biggest value in s, -5, n?
s
Let y(t) = -t + 16. Suppose -3*n + l = -36, 4*n + 8 = 5*l + 67. Let m be y(n). Which is the second smallest value? (a) 4 (b) 2/5 (c) m
a
Let x = 0.4 - 0.445. Let h = -7.255 + x. Let i = -7 - h. What is the biggest value in 5, i, 2/5?
5
Let h = 605 - 595. What is the biggest value in 1, h, -34?
h
Let v = -21.6 + 19.6. Which is the second biggest value? (a) 1 (b) v (c) -1 (d) 4/13
d
Let k = 2.48 - 2.78. Which is the biggest value? (a) -4 (b) 1/8 (c) 0 (d) k
b
Let i = 9 - 1. Let w = -6 + i. Suppose q - 9 = -n, 0*n + w*n - q - 6 = 0. What is the third biggest value in 1/4, n, -3?
-3
Suppose 5*r + 67 = 57. Let o be (39/(-182))/(r/(-4)). Which is the second biggest value? (a) 4 (b) 2/3 (c) o
b
Let j = 1.542 - -1.458. Which is the fourth smallest value? (a) 1 (b) j (c) -16/11 (d) -0.3
b
Let x = -262 - -1838/7. Let k = -17 - -16.97. Let d = k + 2.03. Which is the second smallest value? (a) x (b) d (c) 4
b
Let f = 5.04 - 5. Let k = 0.54 - f. Let t be 11 + 282/(-18) + 4. Which is the third biggest value? (a) 0.4 (b) k (c) t
c
Let r = -6 - -11. What is the third smallest value in r, 8, -14?
8
Let s be 3 + -57*2/42. Let f = -1/27 + -17/27. What is the second biggest value in 1/4, s, 1, f?
s
Let k = -23.8 + 21. Let o = -126 + 127.8. Let r = o + k. Which is the second biggest value? (a) r (b) 1/6 (c) -12
a
Let i = 1.63 + -0.23. Let g = i - 1.9. Which is the biggest value? (a) 5 (b) -4 (c) g
a
Suppose 7*x - 2 = 19. Suppose x*q = -22 + 25. What is the third smallest value in q, -3, -1/5?
q
Let t = -0.2 - 3.8. Let z be -4*2*(-2)/8. Let f = 10 - 9.6. Which is the second biggest value? (a) t (b) f (c) z
b
Let q = -273 + 2455/9. Which is the third smallest value? (a) 2 (b) q (c) -40
a
Let g = -46 - -41. Let f be 2 - (-2)/(30/(-27)). Let u = -2.93 + -0.07. Which is the second smallest value? (a) f (b) u (c) g
b
Suppose 0 - 4 = -2*k. Let w = 395 - 394.6. Which is the fourth smallest value? (a) 0.1 (b) -2 (c) w (d) k
d
Let m = 44 + -43.8. Let h = -8 - -6. What is the third biggest value in 1/9, m, h?
h
Let s = 9 - 7. Let h be -1*(s + -3) + 19. Let d be ((-27)/30)/((-24)/h). Which is the third biggest value? (a) 2/7 (b) d | {
"pile_set_name": "DM Mathematics"
} |
alculate prob of sequence pufp when four letters picked without replacement from frppprurrup.
1/330
Four letters picked without replacement from {k: 5, y: 2, d: 1, b: 8, r: 1}. Give prob of sequence rkyy.
1/5712
Calculate prob of sequence fwu when three letters picked without replacement from {d: 3, u: 1, w: 1, f: 1, r: 1}.
1/210
Four letters picked without replacement from sybbeyvbvvev. Give prob of sequence eseb.
1/1980
Four letters picked without replacement from onolraanrorora. Give prob of sequence nnoa.
1/1001
Two letters picked without replacement from {p: 3, v: 7, t: 2}. What is prob of sequence tv?
7/66
What is prob of sequence ho when two letters picked without replacement from {t: 1, o: 1, s: 1, z: 1, d: 2, h: 1}?
1/42
Calculate prob of sequence zyl when three letters picked without replacement from zzyplp.
1/60
What is prob of sequence zb when two letters picked without replacement from mbgbgmzmbzgbbzgbbz?
14/153
Calculate prob of sequence yy when two letters picked without replacement from {p: 7, y: 6}.
5/26
What is prob of sequence quqq when four letters picked without replacement from {q: 3, u: 5, b: 2}?
1/168
What is prob of sequence qdk when three letters picked without replacement from qqddqqqvk?
5/252
What is prob of sequence dapu when four letters picked without replacement from {p: 4, u: 1, a: 5, d: 1}?
1/396
Three letters picked without replacement from {k: 3, v: 1, x: 3, q: 1, s: 2, y: 2}. What is prob of sequence xyx?
1/110
Two letters picked without replacement from {u: 4}. What is prob of sequence uu?
1
Three letters picked without replacement from nndhdnffnfhhnnnnnq. What is prob of sequence ffh?
1/272
Calculate prob of sequence aab when three letters picked without replacement from {b: 4, l: 7, a: 3}.
1/91
Three letters picked without replacement from {o: 11, m: 9}. Give prob of sequence moo.
11/76
Three letters picked without replacement from {n: 2, e: 1}. What is prob of sequence nne?
1/3
Two letters picked without replacement from etkpeeepeteetkpep. Give prob of sequence kk.
1/136
What is prob of sequence nh when two letters picked without replacement from {h: 1, v: 1, n: 1}?
1/6
What is prob of sequence bss when three letters picked without replacement from sbbbbs?
1/15
Four letters picked without replacement from jbbqqbqj. Give prob of sequence jqqj.
1/140
Four letters picked without replacement from {n: 3, z: 2, b: 7}. What is prob of sequence bbbn?
7/132
Calculate prob of sequence zi when two letters picked without replacement from {j: 1, z: 1, x: 4, i: 2}.
1/28
What is prob of sequence jj when two letters picked without replacement from {l: 1, j: 17}?
8/9
What is prob of sequence zzo when three letters picked without replacement from zzozzzozzzzzzzzzzzzz?
17/190
Two letters picked without replacement from kribbbbkrkrkckigib. What is prob of sequence gi?
1/102
Calculate prob of sequence qs when two letters picked without replacement from sbcbbbscbsbbbsqsbs.
1/51
Three letters picked without replacement from {b: 2, i: 4, d: 2, o: 1, y: 2, x: 1}. Give prob of sequence ybi.
2/165
What is prob of sequence nf when two letters picked without replacement from {f: 5, t: 1, n: 2, q: 3, z: 1}?
5/66
Two letters picked without replacement from oaaeervarvrvva. What is prob of sequence ro?
3/182
Two letters picked without replacement from ffufjjuffjun. Give prob of sequence jn.
1/44
Three letters picked without replacement from {a: 1, d: 2, z: 2, c: 1, r: 1}. Give prob of sequence dza.
2/105
Three letters picked without replacement from {d: 5, x: 7, s: 5, v: 1}. Give prob of sequence vdx.
35/4896
Two letters picked without replacement from vloyxhh. Give prob of sequence xl.
1/42
Calculate prob of sequence xx when two letters picked without replacement from {x: 3, o: 15}.
1/51
Two letters picked without replacement from ppppspplmspjppssx. Give prob of sequence mp.
9/272
Calculate prob of sequence lqql when four letters picked without replacement from {u: 4, l: 5, q: 6, y: 1}.
5/364
What is prob of sequence vb when two letters picked without replacement from mkkbvktkkt?
1/90
What is prob of sequence bhbr when four letters picked without replacement from qhybbbqrbbqqyyrq?
1/1092
Calculate prob of sequence rkkk when four letters picked without replacement from kkaurkuak.
1/126
What is prob of sequence iwl when three letters picked without replacement from {a: 1, i: 6, l: 2, x: 4, w: 1, m: 1}?
2/455
Three letters picked without replacement from {d: 5}. Give prob of sequence ddd.
1
What is prob of sequence iibb when four letters picked without replacement from bidibssisiibbi?
15/1001
Four letters picked without replacement from aaaaddaaaddaad. Give prob of sequence adaa.
15/143
What is prob of sequence cp when two letters picked without replacement from {c: 6, u: 5, h: 2, p: 1, k: 3}?
3/136
Two letters picked without replacement from {m: 4}. Give prob of sequence mm.
1
Calculate prob of sequence qppq when four letters picked without replacement from ppokxpxqpqpxpxpp.
1/390
Calculate prob of sequence aq when two letters picked without replacement from {f: 1, q: 1, a: 16}.
8/153
Two letters picked without replacement from ffffrcfcccefffcccrcf. Give prob of sequence ff.
18/95
Two letters picked without replacement from {t: 5, d: 1, j: 2, w: 1}. What is prob of sequence tw?
5/72
Calculate prob of sequence jb when two letters picked without replacement from {b: 1, w: 8, g: 5, j: 2}.
1/120
Three letters picked without replacement from ahhhl. Give prob of sequence hlh.
1/10
Four letters picked without replacement from mmmzmmmzmcwmmwmzmnn. What is prob of sequence mmcz?
55/15504
Two letters picked without replacement from nennnnjjjnjjjnn. What is prob of sequence en?
4/105
Four letters picked without replacement from nnnnnnnnnn. What is prob of sequence nnnn?
1
Calculate prob of sequence oi when two letters picked without replacement from rizimimizo.
2/45
Calculate prob of sequence brz when three letters picked without replacement from {b: 1, r: 3, n: 1, z: 4, u: 8}.
1/340
Three letters picked without replacement from zqzqzzzzqzqzq. Give prob of sequence zzq.
70/429
What is prob of sequence oiww when four letters picked without replacement from {i: 2, o: 5, w: 3}?
1/84
What is prob of sequence zc when two letters picked without replacement from zzzczccczzzcczcccz?
9/34
Calculate prob of sequence gjg when three letters picked without replacement from {j: 1, q: 2, d: 1, g: 2}.
1/60
Calculate prob of sequence zubb when four letters picked without replacement from zbbbbffuaffaabb.
1/1092
What is prob of sequence srs when three letters picked without replacement from {j: 5, r: 2, s: 5, f: 5}?
1/102
Four letters picked without replacement from kkkkk. Give prob of sequence kkkk.
1
What is prob of sequence gs when two letters picked without replacement from sfgs?
1/6
Calculate prob of sequence yyy when three letters picked without replacement from {h: 6, y: 4}.
1/30
Calculate prob of sequence aga when three letters picked without replacement from {g: 2, a: 3}.
1/5
What is prob of sequence kc when two letters picked without replacement from {c: 2, k: 4, q: 10, n: 2, h: 1}?
4/171
Two letters picked without replacement from poxpq. Give prob of sequence xp.
1/10
Calculate prob of sequence kkvl when four letters picked without replacement from vklybkk.
1/140
What is prob of sequence ct when two letters picked without replacement from rrtjcwrcjc?
1/30
Calculate prob of sequence jmaa when four letters picked without replacement from mmaaajmmmammlamm.
3/728
Two letters picked without replacement from {h: 6, e: 6}. What is prob of sequence hh?
5/22
What is prob of sequence iii when three letters picked without replacement from iiwfimeie?
1/21
What is prob of sequence ooo when three letters picked without replacement from {o: 3, r: 15}?
1/816
What is prob of sequence hh when two letters picked without replacement from hgxgkgkvghghhgkgk?
3/68
What is prob of sequence pttx when four letters picked without replacement from kzpkpkxktkkpttktk?
3/4760
Two letters picked without replacement from kvukzvksuvkukuvzk. What is prob of sequence vz?
1/34
Calculate prob of sequence yo when two letters picked without replacement from oyiekeyi.
1/28
Two letters pick | {
"pile_set_name": "DM Mathematics"
} |
when d is divided by p.
3
Suppose 3*j - 8 = c - j, 0 = -5*j. Let y = -9 - c. Let o(i) = 5*i**2 - 2*i - 1. What is the remainder when o(y) is divided by 3?
0
Let v be 2*(-2 + 9/6). Calculate the remainder when 9 is divided by -9*(-2 - v) + -3.
3
Let t = 34 + -36. Suppose -3*k - 2*f + 5*f + 3 = 0, 18 = -2*k - 2*f. Calculate the remainder when (t/k)/(3/222) is divided by 13.
11
What is the remainder when (-1)/(-1) + -4 - -120 is divided by 24?
21
What is the remainder when ((-4)/6)/(28/(-1386)) is divided by 6?
3
Let t(d) = 0 - 2 - 3 - 3*d. What is the remainder when 18 is divided by t(-5)?
8
Calculate the remainder when 37 is divided by 14 - (2 + -4) - -4.
17
Let t(s) = -s + 8. Let n be t(6). Suppose n*w - 6 = -w. What is the remainder when 7 is divided by w?
1
Suppose 25 = 6*o - o. Let c = 41 + -28. Calculate the remainder when c is divided by o.
3
Let l(h) = 2*h - 1. Let v be l(2). Suppose q - 1 = -v. Calculate the remainder when 8 is divided by 10*(1/q)/(-1).
3
Suppose 0*h + 70 = 5*h. Let o = -21 + 68. Suppose 2*t = k - o, -k + 5*t - 13 + 69 = 0. What is the remainder when k is divided by h?
13
Suppose 6*m - 77 - 79 = 0. Calculate the remainder when m is divided by 10.
6
Let w = -1 - -1. Suppose w = -5*d - 0 + 15. Suppose -d*y - 4*m = -y - 96, -2*y - 5*m + 97 = 0. Calculate the remainder when y is divided by 16.
14
Suppose 17 = 2*i - 21. Suppose -6*u + 35 = -u. What is the remainder when i is divided by u?
5
Let w be -2*46 + (-1 - -1). Let q = w + 133. What is the remainder when q is divided by 15?
11
Let a be (1/2)/((-3)/(-18)). Let h be 90/21 - (-4)/(-14). Suppose 4*t = h*k + 96, 6*k = a*k - 9. Calculate the remainder when t is divided by 12.
9
Suppose a + 213 = 4*y - 2*a, -y = -3*a - 42. What is the remainder when y is divided by 20?
17
Suppose 4*l = 4*q - 104, -4*l - 88 - 38 = -5*q. Calculate the remainder when q is divided by 2*4*(-6)/(-4).
10
Let r(t) = -101*t**2 - 3*t - 3. Let o be r(-3). What is the remainder when 4/(-26) + o/(-39) is divided by 13?
10
Let g be 1 - (1 - 4/2). Suppose 4*o + g*c + 16 = 6*c, -4 = -o + 3*c. What is the remainder when (-274)/(-8) + 2/o is divided by 12?
10
Let l be -1 + -2 - (6 - 4). Let s = l + 2. What is the remainder when -2 - (s + 2) - -14 is divided by 7?
6
Let a = 15 - 11. Suppose 0*o = a*o - 104. Calculate the remainder when 76 is divided by o.
24
Let q(u) = 2*u**2 + 10*u + 6. Let o be q(-6). Let z = o + -8. Let b = -8 - -26. Calculate the remainder when b is divided by z.
8
What is the remainder when 43 is divided by (-2)/(-6)*(0 - -33)?
10
Suppose 4*n + 3*z - 21 - 16 = 0, -45 = -4*n + 5*z. Calculate the remainder when 47 is divided by n.
7
Suppose -k + 14 = 3. What is the remainder when k is divided by 7?
4
Let s = 29 + -24. Let w = 52 - 35. What is the remainder when w is divided by s?
2
Let i be 6/9 - 8/12. What is the remainder when (-1)/(i + 4/(-36)) is divided by 6?
3
Suppose 0 = f + 10 - 19. Suppose -4*d = -30 - 26. Calculate the remainder when d is divided by f.
5
Let y(f) = f**2 - 4*f + 4. Let v be y(4). Suppose v*m - 30 = -m. Calculate the remainder when (-27)/18 + 15/(-6)*-9 is divided by m.
3
Suppose 0 = 4*g - 9*g. Suppose 3*u - 33 + 0 = g. Calculate the remainder when u is divided by 6.
5
Suppose 0*i + 3*i = 231. Let w = 112 - i. Calculate the remainder when w is divided by ((-24)/10)/(4/(-30)).
17
What is the remainder when -5*(-1)/((-15)/(-27)) is divided by 4?
1
Let k(o) = o**3 + 7*o**2 - 9*o - 8. Let p be k(-8). Suppose 3*b - 27 = 2*b + 4*v, 4*b - v - 138 = p. What is the remainder when b is divided by 18?
17
Suppose -q + 3*v + 42 = 0, -2*q + v + 86 - 17 = 0. What is the remainder when q is divided by 21?
12
Let s = -25 + 50. What is the remainder when s is divided by (-1)/((-3)/(-9)) + 20 - 3?
11
Let c = -2 - -7. Let m be (1 - 0)*20/c. What is the remainder when 30 is divided by m*5/((-5)/(-4))?
14
Let u(b) = -6*b - 11. Let p(a) = a**2 + 14*a - 8. Let t be p(-14). What is the remainder when u(t) is divided by 19?
18
Let l be 6/(-2) + 6 - 1. Suppose -16 = l*o - 4*o. Suppose x + q + o = 41, 3*q - 130 = -4*x. Calculate the remainder when x is divided by 11.
9
Let o be (-44)/2 - 2/(-2). What is the remainder when 6 is divided by (-6)/o - 19/(-7)?
0
Suppose -4*j = -2*v - 124, v + 0*v + j = -59. Let q = v - -101. Let a(p) = -4*p + 3. Calculate the remainder when q is divided by a(-2).
8
Suppose x - 61 = -5*s, -2*s + 180 = 4*x + 2*s. Let f = -28 + x. Calculate the remainder when ((-148)/(-12))/((-1)/(-3)) is divided by f.
11
Let g(h) = 6 + 62*h + 47*h - 11*h. Let z be g(6). Calculate the remainder when z/21 + (-4)/14 is divided by 15.
13
Suppose 0*f = -f + 25. Calculate the remainder when f is divided by 5 + 22/8 + 3/(-4).
4
Let g(r) = -6*r - 37. Suppose 2*j - 12 = 2*z - 54, z = -5*j + 15. What is the remainder when g(-19) is divided by z?
17
Suppose -26 = 5*b - 1. Let y = 9 + b. Calculate the remainder when y is divided by 2.
0
Let g(v) = v**3 + 10*v**2 - 11*v + 9. Let u be g(-11). Suppose u + 21 = -2*h. What is the remainder when (14 - -1)*(-10)/h is divided by 3?
1
Let v = 11 + 0. Let w(h) = 3*h**2 + 2*h - 1. What is the remainder when v is divided by w(-2)?
4
Let h = 16 - 4. Let u(p) = -p**2 + 16*p - 4. Let i be u(11). What is the remainder when (i/(-9))/((-3)/18) is divided by h?
10
Suppose t = 5*l + 19, -t + 3*l = -12 - 9. Suppose -b + 3*s = 0, -2*b - s = -b. Suppose b = -j + 3*j - t. What is the remainder when 35 is divided by j?
11
Let q be -1*3*(-2)/(-6). Let o be (0*(-1)/3)/q. Suppose 2*t - 5 - 3 = o. Calculate the remainder when 11 is divided by t.
3
Let x(k) = 5*k - 36. What is the remainder when x(23) is divided by 22?
13
Let l(q) = -2*q**2 - 4*q - 7. Let w(s) = 3*s**2 + 8*s + 15. Let o(x) = -5*l(x) - 3*w(x). What is the remainder when o(6) is divided by 2?
0
Suppose -2*h + 37 - 9 = 0. What is the remainder when 37 is divided by h?
9
Suppose 3*j - 15 = -2*p, -p - 3*j + 7 = -8. Let g = p - 0. Suppose 2*q - 22 = q + 5*d, g = 5*q - 5*d - 50. Calculate the remainder when 12 is divided by q.
5
Suppose 5*y - 328 = 4*n, n + 4*y + 82 = 3*y. What is the remainder when (n/2 - -2)/(-1) is divided by 21?
18
Let h = -3 + 91. Calculate the remainder when h is divided by 5.
3
Let i be (172/8)/(1/4). Suppose 2*l + 2*l = 2*d + i, -4*l = 4*d - 104. Let p = l + -9. Calculate the remainder when 26 is divided by p.
12
Let z(u) = u**2 - 7*u - 9. What is the remainder when 25 is divided by z(-2)?
7
Let m(a) be the first derivative of 2*a**3/3 - 2*a + 2. What is the remainder when 10 is divided by m(-2)?
4
Suppose 3*x + 2*h - 194 = 0, 9*h - 5*h = 5*x - 294. Calculate the remainder when x is divided by 21.
20
Let r = 11 + -6. Suppose -r*j + 145 = -5. What is the remainder when j is divided by 11?
8
Let k = -30 - -16. Let w = k - -39. Suppose 49 = 5*t + 4. What is the remainder when w is divided by t?
7
Calculate the remainder when (-1)/((3 + -2)*1/(-49)) is divided by 10.
9
Suppose -l = 2*l - 12. Suppose -5*h - 5*t - 95 = 0, -3*t + l = -t. Let v = -9 - h. Calculate the remainder when v is divided by 7.
5
Suppose o - 5 - 65 = -k, -3*k - 90 = -o. Suppose 3*v = 6*v - o. What is the remainder when v is divided by 9?
7
Let a = -17 + 30. Let v = a - 7. Suppose -123 = -7*f - 18. What is the remainder when f is divided by v?
3
Suppose 10 = 5*d - 50. What is the remainder when 226 is divided by d?
10
Calculate the remainder when 218 is divided by (-30)/4*8/(-3).
18
Suppose -40 = -2*h + 18. Calculate the remainder when h is divided by 10.
9
What is the remainder when 32 is divided by ((-11)/2)/(2/(-4))?
10
Suppose 0*v + 21 = 3*k - 3*v, -33 = -4*k + 5*v. Suppose k*a = 4*a - 74. Suppose -a = -3*t - 1. Calculate the remainder when 22 is divided by t.
10
Suppose r - 3 - 2 = 0, -5*k - 2*r + 115 = 0. What is the remainder when (30/(-75))/((-2)/310) is divided by k?
20
Let i = 7 + 10. Let y(r) = -r**3 + 7*r**2 - 6*r + 2. Let u be y(5). Let m = u + -16. Calculate the remainder when i is divided by m.
5
Calculate the remainder when ((-30)/(-14) + 2 + -1)*7 is divided by 14.
8
Let p be (-20)/10*(-10)/4. Suppose 4*g + y - 38 = 0, 9*g = 4*g + p*y + 35. What is the remainder when 33 is divided by g?
6
Let m be (7 + -4)*1 + 0. Suppose -m*f = 2*f - 125. What is the remainder when f is divided by 13?
12
Let t(s) = s**2 | {
"pile_set_name": "DM Mathematics"
} |
2
Suppose -25*h + 732 = -21*h. What are the prime factors of h?
3, 61
Suppose 5*g = -5 - 5, 3*g + 3 = 3*n. Let r be (4/(-4))/(n - 0). List the prime factors of (-35)/(-4) + r/4.
3
Suppose -3*l - 3*m = m - 130, 4*l - 194 = 5*m. What are the prime factors of l?
2, 23
Suppose -l = -0*l. Suppose l = -q + 3*q. Suppose q = 3*c - 12 - 18. What are the prime factors of c?
2, 5
Suppose -132 = -v - 27. Suppose v = -3*s + 8*s. List the prime factors of s.
3, 7
Let v be -4 + (-16 + -1 - 4). Let h = 18 - v. What are the prime factors of h?
43
Let a be (0 - -1)/((-3)/51). Let q = a - -32. What are the prime factors of q?
3, 5
Let h be 10/6 + (-2)/(-6). Suppose -5*g - 17 = 3*r - 125, -5*r + h*g = -149. List the prime factors of r.
31
Let p(h) = -h**2 - 6*h + 2. Let y be p(-6). Let n(u) = u. What are the prime factors of n(y)?
2
Let w(p) = p**3 + 7*p**2 + 8*p - 6. Let t be w(-6). Let f = 52 + t. Suppose 3*x + z = -2*x + f, 5*x - 26 = z. What are the prime factors of x?
2, 3
Suppose -6 + 3 = -w. What are the prime factors of w - (-3 - (0 + -1))?
5
Let z(o) = 14*o - 9*o + 7 - 4*o. Suppose 0 = -a - 2*a - 15. What are the prime factors of z(a)?
2
Suppose -237 - 183 = -2*r. What are the prime factors of r?
2, 3, 5, 7
Let p(l) = 76*l + 2. What are the prime factors of p(1)?
2, 3, 13
Suppose 0 = 2*r - 0 - 4, -r + 14 = 3*j. What are the prime factors of (-1)/(-4)*j + 23?
2, 3
Suppose -2*p + 5*p = 6. Suppose -4*r + 54 = p. What are the prime factors of r?
13
Let l(m) = 2*m**2 + m - 3. Let q(p) = p**2 - 4*p - 3. Let a be (4/(-12))/(1/(-12)). Let c be q(a). List the prime factors of l(c).
2, 3
Let z(i) = -11*i - 22. List the prime factors of z(-7).
5, 11
Suppose 6*l - 52 = 4*l. What are the prime factors of l?
2, 13
Let b = 99 + -61. What are the prime factors of b?
2, 19
Let o = -26 - -70. List the prime factors of o.
2, 11
Suppose 0 = 4*p - a - 675, 4*p + 200 = -2*a + 866. What are the prime factors of p?
2, 3, 7
Suppose 3*y - 3 = 3. Suppose -3*h - 33 = -y*i, 4*i - 87 + 9 = 2*h. List the prime factors of i.
3, 7
Suppose -u = -3*u + 14. Let y be -1 + u - (-1 - -4). Suppose -69 = -4*c + y*d, 0*d + d - 57 = -4*c. What are the prime factors of c?
3, 5
Suppose -4*g + 10*g - 270 = 0. List the prime factors of g.
3, 5
Let t(b) = -b**2 - b - 5. Let i be t(-5). Let n = 58 + i. What are the prime factors of n?
3, 11
Suppose 0 = -3*w + d + 53, 2*w - 6*w = 5*d - 77. What are the prime factors of w?
2, 3
Suppose 3*n + 0*n - 141 = 0. What are the prime factors of n?
47
Let p(y) = -y**3 + 6*y**2 + 10*y - 9. Let o be p(7). Let s be 7/((-14)/o) + -3. List the prime factors of (6 + s)/(1/(-3)).
3
Let c = -3 - 1. Let t be (-6)/27 + 166/18. Let k = c + t. List the prime factors of k.
5
Let a be (0 + -2)*202/(-4). Let l = a + -69. Let b = l - 18. List the prime factors of b.
2, 7
Let w = 4 + -3. Let g be 2*w - 0/6. Suppose -2 = 2*z - g*d, -z + 12 + 7 = 4*d. List the prime factors of z.
3
Let q(o) = -13*o + 3. List the prime factors of q(-2).
29
Let f = -11 + 40. List the prime factors of f.
29
Let x(i) = -7*i**2 + 2*i + 15. Let y(q) = 4*q**2 - q - 8. Let f(t) = -3*x(t) - 5*y(t). List the prime factors of f(-4).
3, 5
Let b(p) = 3*p + 8. What are the prime factors of b(5)?
23
Suppose 3 = -3*q - 5*y, 2*q + 3*y + 2*y = -2. Let o be (-1)/q*(2 - -5). Let l(f) = -f + 13. What are the prime factors of l(o)?
2, 3
Let x = -11 + 15. Suppose -f - x*f = -115. List the prime factors of f.
23
Let v = -40 + -40. List the prime factors of (v/28)/((-2)/7).
2, 5
Let a(m) be the first derivative of m**3/3 - m**2/2 + 5*m + 1. List the prime factors of a(0).
5
Let t be 8/6*6/4. Let p = t + 1. Suppose -p*r - 3*g + 10 - 4 = 0, 5*r + 3*g = 10. What are the prime factors of r?
2
Let r(d) = 2*d**2 - 4*d + 2. Let a be r(3). Suppose s - 2 = a. What are the prime factors of s?
2, 5
Let u be 3/(-4) + (-365)/20. Let v = 47 + u. What are the prime factors of v?
2, 7
Let p(z) = 6*z**3 - 3*z - 6. Let r(m) = m**3 - 1. Let s(k) = -p(k) + 5*r(k). Let l be 0 + (-3 - -1)*1. List the prime factors of s(l).
3
Suppose 5*b + j = 4*j + 19, 2*b - 2*j - 6 = 0. Suppose -f = -0*f - b. Suppose -f*x + 4*y = -51, 0 = 3*x - 2*y - 11 - 20. List the prime factors of x.
11
Let x = 3 + -2. What are the prime factors of (0 + -2)*-1 + x?
3
Suppose -2*v = -k - 9, 3*v + 2*k - k - 1 = 0. Let q(d) = 23*d + 6. List the prime factors of q(v).
2, 13
Suppose -4*c - 28 = -3*i, 4*i - 21 = c + 38. Let z = i + -4. Suppose 0 = 4*v - z, 5*j - v + 10 - 82 = 0. List the prime factors of j.
3, 5
Let g(h) be the first derivative of h**4/4 - 5*h**3/3 - h**2 + 6*h - 1. Let m be g(5). List the prime factors of 2/m - (-25)/2.
2, 3
Let p(k) = -k + 6. Let y be p(8). What are the prime factors of (1/y)/(2/(-8))?
2
Let k(y) = 3*y**2 + 5*y - 3. Let a = 26 - 23. List the prime factors of k(a).
3, 13
Suppose 4*b - 284 = -0*b. What are the prime factors of b?
71
List the prime factors of 26/(-6) - -5 - 565/(-3).
3, 7
Let d(v) = -v**2 - 9*v - 6. Let k be d(-8). Suppose -2*r = k*r. Suppose 5*w - 25 = -r*w. List the prime factors of w.
5
Suppose -2*u + 6 = -138. What are the prime factors of u?
2, 3
Let r(m) be the third derivative of -m**6/120 + m**5/20 - m**4/12 + m**3/3 - 6*m**2. What are the prime factors of r(2)?
2
Let c = 0 + 3. Suppose -c*o + 2 = -2*s - 0*o, -6 = s - 4*o. What are the prime factors of s?
2
Suppose 3*u - 27 = -2*y, -3*u + 43 = 2*u + 4*y. Suppose -9 = -5*o + u. Suppose -2 + o = c. What are the prime factors of c?
2
Let q(a) = a**2 + 7*a - 2. Let s be q(-8). Suppose 2*o - 37 + s = -3*v, -2*o - 47 = -3*v. List the prime factors of v.
13
List the prime factors of (-2)/12 + (-1156)/(-24).
2, 3
Suppose -89*w + 840 = -86*w. What are the prime factors of w?
2, 5, 7
Suppose u - 15 = -2*u. Suppose 0 = -5*h - n + 116, 51 = 2*h - 0*h + u*n. What are the prime factors of h?
23
Suppose -4*x = 2*q - 4, -5*q - x - 12 = 14. Let t be q/21 + (-46)/(-14). Suppose 28 = k + t*k. List the prime factors of k.
7
Suppose -3*t = -2*t. Let a be -1 + (53 - -2) + t. What are the prime factors of 12/a - (-16)/9?
2
Let z(p) = -4*p**2 + 8*p + 6. Let c(a) be the first derivative of -2*a**3/3 + 2*a**2 + 3*a + 1. Let d(k) = -5*c(k) + 2*z(k). What are the prime factors of d(4)?
13
Suppose -216 = -6*z + 66. What are the prime factors of z?
47
Suppose 20*w = 21*w - 137. List the prime factors of w.
137
Let x be 3/6*-21*-2. Let o = x - 45. Let t = o + 35. What are the prime factors of t?
11
Suppose 289 = 4*y + n, -2*n + 7 = 5*y - 352. List the prime factors of y.
73
Suppose 0 = -10*j + 5*j + 3*h + 135, 81 = 3*j - 3*h. What are the prime factors of j?
3
Let n(q) be the first derivative of -q**4/4 - 3*q**3 - 11*q**2/2 - 12*q + 2. What are the prime factors of n(-8)?
2, 3
Let m(w) = w**2 - 6*w + 27. What are the prime factors of m(11)?
2, 41
Let d(c) = -1 - 4*c**2 - 3 + 0*c**3 + 2*c**3. Let s be d(4). Suppose -s = -5*b - 2*y, 30 = -0*b + b + 4*y. List the prime factors of b.
2, 5
Let b = 0 - -9. Suppose -3*c + 32 = 5*f, c + 1 = -f + b. What are the prime factors of c?
2
Suppose 3*i - 83 - 16 = 0. Let b = i + -18. What are the prime factors of b?
3, 5
Let x(n) = -n**3 + 9*n**2 - 10*n + 4. What are the prime factors of x(7)?
2
Suppose 11*l = 6*l + 75. What are the prime factors of l?
3, 5
Let w = -6 - 74. List the prime factors of ((-8)/20)/(2/w).
2
Let r be 1*(1 + -2) - 4. Let k(s) = s + 7. List the prime factors of k(r).
2
Let x be (-12)/(-8)*32/3. Let a = x - 14. List the prime factors of a.
2
Let m = -8 - -17. Let r = -4 + m. List the prime factors of r.
5
Let w be (-7)/28 - (-11)/(-4). Suppose -4*u - y - 3*y + 12 = 0, 5*y = u - 33. Let m = u + w. What are the prime factors of m?
5
Let z(h) = -h**2 + 5*h - 1. Let g be z(4). Suppose 4 = g*f + 1. List the prime factors of (12/14)/(f/7).
2, 3
Suppose -1 = -3*s + 5*q, -3*s + 3*q + 12 = 3. Suppose s*p - 10*p + 144 = 0. What are the prime factors of p?
2, 3
Let u be 5 + 0 + -2 - -1. Let i(v) = -v**2 + 3*v + 2. Let p be i(u). List the prime factors of (-7)/p + 1/(-2).
3
Suppose 21 = m - 7. What are the prime factors of (-9)/(-4) + (-7)/m?
2
Let i(q) = -q**3 - 9*q**2 + 10*q + 11. List the prime factors of i(-10).
11
Let b be 0 + -1 + 11*-1. Let k = -7 - b. What are the prime factors of k?
5
Let i(z) = -z**2 - 5*z + 6. Let a be i(-6). Suppose -2*n = | {
"pile_set_name": "DM Mathematics"
} |
value? (a) l (b) 1/4 (c) -4/15 (d) -1/4 (e) 0.5
b
Let d = 457108/13 - 35162. Let v = -1.06 - -0.06. What is the fourth smallest value in v, -0.3, d, -5?
d
Let a = 0.0209 + 0.3161. Let p = -0.663 - a. What is the smallest value in p, 1.5, 0?
p
Let i(v) = -v**2 + 18*v - 41. Let p be i(15). Suppose -2*s - 2*n = -16, p*s - 5 = 5*n - 18. What is the second biggest value in -1/10, s, -2/5?
-1/10
Let x = 4453.7 - 4454. Which is the second biggest value? (a) -1.7 (b) x (c) 1/9
b
Let z be (65 - (96 - 31))/(0 + 6/(-2)). Let b = 52324/585 - 1211/13. Let q = -28/9 - b. What is the third biggest value in z, q, -18?
-18
Let n = -1.9 - 3.1. Let w = 1303.07 - 1304. Which is the second biggest value? (a) 1 (b) n (c) w
c
Suppose -8*i + 4*i = -5*i. Which is the second biggest value? (a) 0.1 (b) -0.11 (c) -2 (d) 3 (e) i
a
Let o be -13 + 14 + (39/(-9) - -6 - 2). Let w be (-4)/((4/(-10))/1). What is the third biggest value in o, w, -3/5?
-3/5
Let w be 252/288 + (-1)/(-8). Let k be w/61*(40 - 43). Which is the second biggest value? (a) -3/4 (b) -1 (c) -1/4 (d) k
c
Let h = -574 + 345. Let v = -225 - h. Which is the second smallest value? (a) 4/9 (b) 1/6 (c) v (d) -2/3
b
Let r = -166/9 + 1844/99. Which is the second biggest value? (a) -0.3 (b) -2/7 (c) 1/2 (d) r (e) 3
c
Let p = -10.181 - 49.819. Which is the fourth smallest value? (a) 2/9 (b) p (c) 1/4 (d) 4
d
Suppose 2 = -4*k - 2*x + 20, k + 2*x - 3 = 0. Let w = 213 + -212. What is the fourth smallest value in w, k, 12, 1/3?
12
Let q(j) = -24*j + 46. Let a be q(2). What is the second smallest value in 134, 0.3, a?
0.3
Let g = 1349/120 - 118/15. Let j = g + 137/8. What is the third biggest value in -2/3, -5, j?
-5
Let y be (-4)/14 + (-110)/(-140). Let q = 486 - 483. What is the third biggest value in -1/6, q, -5, y?
-1/6
Let z be (9/15)/((-15)/(-50)). Let k = 106.1 + -97.1. Which is the third smallest value? (a) k (b) -12 (c) z
a
Let j = 2600/99 - 238/9. Let v = 1462 + -1457. What is the third smallest value in j, 2/5, 17, v?
v
Suppose 4*l = -5*n + 45, -l + 5*l - 2*n = 10. Which is the smallest value? (a) l (b) -971 (c) 4
b
Let q = -86326 + 517955/6. Let w = 0.2 + -0.1. What is the second biggest value in 1, w, q, 0?
w
Let z = 1.99 - 14.99. Which is the fourth biggest value? (a) z (b) 2/3 (c) 4 (d) 36
a
Let u = 95 - 92.01. Let x = u + -3. Let d = 0.11 + x. Which is the biggest value? (a) -4 (b) -0.3 (c) d
c
Let k(z) = 4*z**3 + 625*z**2 + 158*z + 316. Let x be k(-156). Which is the fourth biggest value? (a) 12/5 (b) -2/3 (c) 2 (d) x
b
Let c = 43431 - 43436. Let z = -3 + 3. What is the second smallest value in z, c, 0.3, -6?
c
Let z be 80*264/1632 + -13. What is the second biggest value in -3.4, -1, -3, z?
-1
Let a = -0.1 + 0.2. Let u = -0.9 - a. Let t = -55393 + 55391. What is the second smallest value in u, t, 0.5?
u
Let h = 23.7 - 24. Let s = -4 + 7. Let w = 178.8 - 179.2. What is the second biggest value in 1/4, s, w, h?
1/4
Let a = -0.4963 - -0.5963. What is the smallest value in 1, a, -0.4, -1?
-1
Let x be 1 + -1 + (-2 - -1). Let i = 306041/9 - 34005. Which is the smallest value? (a) -3 (b) x (c) -1/2 (d) i
a
Suppose 0 = -2*o - 8 - 0. Let y = -17/5 - o. What is the smallest value in y, -81, 2/7, 2?
-81
Let i = 651 - 355. Let u = i - 296.2. Let j = 0.1 - 0. What is the third smallest value in u, j, 17?
17
Suppose -3*u = g - 17, -4*g + 33 = -0*g + 5*u. Let w = -0.574 - -0.574. What is the third smallest value in -3, g, w, 5?
g
Let w = 0.05309 - -130.94691. Which is the second biggest value? (a) 2/5 (b) -3 (c) w
a
Let p(n) = 0*n**3 + 541*n - 543*n + 4*n**3 - 5*n**3 - 22. Let i be p(0). Let a be i/(-10) - (1 - (-12)/(-15)). What is the second smallest value in 0.1, -4, a?
0.1
Suppose -5*h - 2*y + y = -498, 3*h + 3*y = 294. Suppose -2*v + h = -82. Let l be v/(-140) + 2/8. Which is the third biggest value? (a) l (b) 2/9 (c) 5
a
Suppose -18*y = -0*y + 738. Let i = -36 - y. Let s = -0.19 - -0.1. Which is the biggest value? (a) i (b) s (c) 4
a
Let c(z) = z**3 - 11*z**2 + 28*z - 8. Let q be c(6). Let k be (2/q)/((-82)/205). What is the third biggest value in -0.05, 0, 5, k?
0
Suppose q + 5498 = 659. Let m = -643579/133 - q. Let p = 7/19 + m. Which is the second smallest value? (a) -15 (b) p (c) 3 (d) -1/2
d
Let z(i) = -i**2 + 5*i - 1. Let h be z(3). Let f = -8396 + 8396. Which is the biggest value? (a) -21 (b) f (c) h
c
Let s = 0.5 + -1. Let y = -0.937351 - 0.062649. What is the smallest value in y, -8/7, s?
-8/7
Suppose 0 = 5*c - i + 27, 4*c - 3*i + 8 + 18 = 0. Suppose -3*v = -5*y - 47, -110 + 27 = -y - 6*v. Let j = 0 + 0. What is the third smallest value in c, j, y?
j
Let y = -11 + 7. Let q = -0.9654 - -13.9654. Which is the biggest value? (a) 0.5 (b) y (c) q
c
Let o = 2.06 - -201.94. Let w = 207 - o. What is the second biggest value in 1, w, 10/3?
w
Let k = 280127.92 + -280128. Let m = 5.2 + -0.2. Which is the second biggest value? (a) 0.6 (b) -1 (c) m (d) k
a
Let n = 21014 + -61931/3. Let h = -371 + n. Which is the second smallest value? (a) -1/3 (b) h (c) 0 (d) -2
b
Let k = -1590 - -1599. Let p be (6/k)/(48/(-18)). Let n = -0.1 + 0.1. Which is the biggest value? (a) 8 (b) p (c) n
a
Let j be 3 - (6/9 + 3). Let m = -13608 + 13594.5. What is the third biggest value in 2, j, m?
m
Let l be 9 + ((-5130)/(-99))/(-6). Which is the biggest value? (a) 0.4 (b) l (c) -1/3
a
Let q = 1398 - 1395. Suppose -5*u + 206 = 2*l - l, 0 = 5*u + 3*l - 198. Let p = -73 + u. What is the second biggest value in q, -1, p?
-1
Let m = 6862 - 6857. Which is the biggest value? (a) -1/2 (b) 2/15 (c) m (d) -3
c
Let z = -41/44 + 3/4. What is the fourth smallest value in -1/3, -3, -2/5, 2/13, z?
z
Let q = 3358 + -3357.7. Let k = 0.8 + -1. What is the second biggest value in q, -6, k?
k
Let c = -2.05 + -43.95. Let x = c + 50. Let g = -0.05 - 0.35. What is the third smallest value in -5, g, x?
x
Let r = 0.74 - 0.8. Let o = -201 - -209. Let m be ((108/(-16))/(-9))/(9/o). Which is the second biggest value? (a) m (b) -2/7 (c) r
c
Let k(x) = 2*x**3 - 28*x**2 - 7*x - 346. Let q be k(15). Which is the second smallest value? (a) q (b) -5/3 (c) -2/9 (d) 0.053
a
Let u be -9 + (6 + -66)/(-10). What is the smallest value in -1, -148, 3, u?
-148
Let d = -0.9 - -6.9. Let n = 4 - d. Let s = 11354 + -11357. Which is the third smallest value? (a) n (b) s (c) 2/3
c
Let w = -8.5 + 166.5. Let p = -159.83 + w. Let n = p + -0.17. Which is the third smallest value? (a) -11 (b) -1 (c) n
b
Suppose -237 = -13*z - 198. Let w = -50/147 - -12/49. Which is the fourth smallest value? (a) z (b) 2/5 (c) 0.11 (d) w
a
Let k = -3/8 + -1/8. Let m = 40 + 97. Let x = m - 136.7. Which is the third smallest value? (a) x (b) -6 (c) k
a
Let n = -168863/51 - -3311. Which is the fourth smallest value? (a) -1 (b) -2/3 (c) 0.4 (d) n
c
Let i = 0.0031 + 43.5969. Let r = i - 43.4. Let m = 232 + -2090/9. What is the fourth biggest value in m, -3/2, r, -1?
-3/2
Let w = -58 - -231/4. Let h = 2.9 + -3. Let l = 589/1186 - -2/593. What is the third smallest value in h, l, w?
l
Let d = -9 + 5. Let y = 25769 - 283457/11. What is the biggest value in d, y, -0.5?
y
Let m = -0.35 + 0.05. Let a = m + 0.2. Let g = -16964.5 + 16964. What is the third smallest value in a, 0.3, g, 2?
0.3
Let j = 25 - 12. Let i(q) = q**2 - 17*q - 132. Let l be i(29). Let y be -7 + (-12)/(l/(-117)). Which is the third smallest value? (a) 0 (b) j (c) y
b
Suppose 67993 - 322439 = -54*t - 160*t. Which is the smallest value? (a) -1/5 (b) t (c) 2
a
Let o = -8222 + 8130. What is the third smallest value in 2/19, -3/4, o, 1/2?
2/19
Let z = 152 + -121. Let i = z + -35. Which is the second smallest value? (a) 3 (b) -2/7 (c) i
b
Let u = -23371 + 23367. What is the second biggest value in 5, u, -1, -0.02, -3?
-0.02
Let u = -0.142 - -0.112. Let z = -3/8 - 7/24. Let v = 10 - 5. Which is the biggest value? (a) u (b) v (c) z
b
Let v = -0.3 + 3.2. Let l = v + -3. Let t = 370.6 - 371. What is the third smallest value in -0.06, t, l?
-0.06
Let l = -11927 - -11396. What is the third biggest value in l, 7, -2/7, -3?
-3
Let s = 193/5 - -917/30. Let i = s + -69. Suppose -4 = 3*t - g, 13*g + 13 = 4*t + 8*g. Which is the third smal | {
"pile_set_name": "DM Mathematics"
} |
/19
What is prob of picking 1 s, 1 l, and 1 h when three letters picked without replacement from iihlhisuhii?
1/55
Two letters picked without replacement from dmzzezmdzdmemmeemsdd. What is prob of picking 1 e and 1 s?
2/95
Two letters picked without replacement from bobbbbbubobobbb. What is prob of picking 2 o?
1/35
Calculate prob of picking 1 y and 1 e when two letters picked without replacement from yyeyyyeyeyyyyyyyyye.
20/57
Calculate prob of picking 1 g and 1 f when two letters picked without replacement from bfibgiiwgwoobgb.
1/35
Four letters picked without replacement from {f: 2, i: 2, s: 5, u: 6, q: 3, t: 1}. Give prob of picking 2 q, 1 u, and 1 t.
3/646
Three letters picked without replacement from vqsahsaahyhhh. What is prob of picking 1 s, 1 y, and 1 a?
3/143
Calculate prob of picking 1 k, 1 h, 1 v, and 1 z when four letters picked without replacement from vvfvvfzkuuuvvuhu.
3/910
What is prob of picking 1 x and 2 m when three letters picked without replacement from {x: 1, m: 2, h: 1, u: 1, n: 2}?
1/35
What is prob of picking 1 b and 2 p when three letters picked without replacement from {p: 5, b: 11}?
11/56
Calculate prob of picking 1 s and 1 t when two letters picked without replacement from {s: 10, g: 1, t: 1, u: 2}.
10/91
Calculate prob of picking 4 a when four letters picked without replacement from aaallaaaaaaalalaaaaa.
364/969
Calculate prob of picking 3 g and 1 i when four letters picked without replacement from gitggtigbjtgitmti.
2/119
Three letters picked without replacement from nktkzzenzn. What is prob of picking 2 z and 1 e?
1/40
Four letters picked without replacement from ccwcwcwc. What is prob of picking 2 c and 2 w?
3/7
Calculate prob of picking 3 s when three letters picked without replacement from {g: 1, s: 4, j: 4, q: 2}.
4/165
Calculate prob of picking 1 p, 1 d, 1 r, and 1 w when four letters picked without replacement from {p: 3, r: 1, w: 2, q: 3, d: 1}.
1/35
What is prob of picking 1 j and 1 o when two letters picked without replacement from {o: 1, j: 7}?
1/4
Two letters picked without replacement from {d: 10}. Give prob of picking 2 d.
1
Two letters picked without replacement from zythb. What is prob of picking 1 y and 1 z?
1/10
Calculate prob of picking 2 l and 2 x when four letters picked without replacement from {b: 4, l: 6, x: 3}.
9/143
Calculate prob of picking 3 k when three letters picked without replacement from {m: 4, w: 1, q: 4, k: 1, n: 1}.
0
What is prob of picking 1 e and 2 h when three letters picked without replacement from {e: 2, h: 7}?
1/2
Two letters picked without replacement from {b: 3, u: 3}. Give prob of picking 1 u and 1 b.
3/5
What is prob of picking 1 c and 2 l when three letters picked without replacement from gcjcclclc?
5/84
Three letters picked without replacement from {s: 6, a: 3, n: 2, l: 1, p: 5}. Give prob of picking 1 p, 1 s, and 1 a.
9/68
Two letters picked without replacement from crcqe. Give prob of picking 1 c and 1 r.
1/5
Four letters picked without replacement from {v: 11, t: 1}. What is prob of picking 3 v and 1 t?
1/3
Two letters picked without replacement from klkklhsksckl. What is prob of picking 1 c and 1 s?
1/33
Two letters picked without replacement from {i: 6, d: 1, o: 3, l: 1, b: 1, z: 1}. What is prob of picking 1 b and 1 o?
1/26
What is prob of picking 1 p, 2 d, and 1 s when four letters picked without replacement from {e: 1, p: 1, r: 3, d: 5, s: 1}?
1/33
What is prob of picking 1 w, 2 v, and 1 e when four letters picked without replacement from eewwvwvvveevewee?
2/13
Two letters picked without replacement from {j: 3, w: 4, y: 1}. Give prob of picking 1 j and 1 w.
3/7
Calculate prob of picking 2 j when two letters picked without replacement from {j: 1, o: 1, f: 1, w: 1, r: 4, q: 4}.
0
Three letters picked without replacement from {p: 15, x: 5}. Give prob of picking 3 p.
91/228
Calculate prob of picking 1 t and 2 m when three letters picked without replacement from {j: 1, a: 2, h: 1, m: 5, c: 1, t: 7}.
7/68
Three letters picked without replacement from ijiihfeejiejher. Give prob of picking 1 r and 2 i.
6/455
What is prob of picking 1 x and 1 r when two letters picked without replacement from xvrxp?
1/5
Four letters picked without replacement from {i: 2, p: 1, q: 6, f: 4}. What is prob of picking 1 p, 1 f, 1 i, and 1 q?
48/715
Calculate prob of picking 1 l and 1 g when two letters picked without replacement from gbxgxxbglc.
1/15
What is prob of picking 3 e and 1 a when four letters picked without replacement from {d: 2, m: 2, e: 3, k: 3, a: 2, u: 4}?
1/910
Two letters picked without replacement from {r: 2, i: 3, f: 6, a: 1, t: 5}. Give prob of picking 1 f and 1 r.
3/34
Calculate prob of picking 1 r, 1 g, and 1 e when three letters picked without replacement from {h: 2, g: 6, r: 9, e: 2}.
36/323
Four letters picked without replacement from {l: 3, z: 2, b: 1, a: 4, y: 1, i: 1}. Give prob of picking 1 i, 1 b, and 2 z.
1/495
What is prob of picking 1 f and 1 t when two letters picked without replacement from tmyof?
1/10
Three letters picked without replacement from lglvlvvvllvvlvlllvlv. What is prob of picking 2 l and 1 v?
27/76
What is prob of picking 2 y and 1 w when three letters picked without replacement from {y: 7, w: 2}?
1/2
Two letters picked without replacement from lfflfflliilfll. What is prob of picking 2 l?
3/13
Calculate prob of picking 2 q when two letters picked without replacement from {q: 4}.
1
What is prob of picking 2 x and 1 e when three letters picked without replacement from xxxeeeee?
15/56
Two letters picked without replacement from ososoooiofosis. Give prob of picking 2 o.
3/13
Two letters picked without replacement from ssppppp. What is prob of picking 2 p?
10/21
Four letters picked without replacement from {z: 2, m: 11}. What is prob of picking 3 m and 1 z?
6/13
Two letters picked without replacement from {c: 10, w: 2, f: 2}. What is prob of picking 1 f and 1 w?
4/91
Calculate prob of picking 1 u, 1 e, 1 z, and 1 o when four letters picked without replacement from ezodzudzzdduuuddzddu.
5/969
What is prob of picking 3 f when three letters picked without replacement from {k: 6, u: 6, f: 3}?
1/455
Calculate prob of picking 3 o when three letters picked without replacement from jsttbboooo.
1/30
Two letters picked without replacement from ylioa. What is prob of picking 1 a and 1 o?
1/10
What is prob of picking 1 h and 1 o when two letters picked without replacement from oojdtotho?
1/9
Two letters picked without replacement from {v: 3, q: 7, z: 1, w: 4, i: 1}. What is prob of picking 2 v?
1/40
Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, o: 4}.
1/7
What is prob of picking 3 b when three letters picked without replacement from {b: 3}?
1
Four letters picked without replacement from {z: 6, d: 2, x: 1, p: 2}. What is prob of picking 2 p and 2 z?
1/22
What is prob of picking 2 g and 1 b when three letters picked without replacement from hgmgmgggqqbqqgrm?
3/112
Four letters picked without replacement from {m: 1, j: 3, t: 4}. Give prob of picking 3 j and 1 m.
1/70
Three letters picked without replacement from {n: 1, g: 5, i: 5}. What is prob of picking 3 i?
2/33
Four letters picked without replacement from {w: 4, c: 2, b: 3, g: 2}. What is prob of picking 1 b, 2 w, and 1 g?
6/55
What is prob of picking 2 e when two letters picked without replacement from ejjjjjcjjjejcje?
1/35
Four letters picked without replacement from {x: 4, s: 7}. Give prob of picking 3 x and 1 s.
14/165
Two letters picked without replacement from cdud. What is prob of picking 1 u and 1 c?
1/6
Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {h: 1, e: 3, y: 3, g: 1, u: 6, m: 4}.
2/17
Four letters picked without replacement from bbbobbobbbboob. Give prob of picking 4 o.
1/1001
What is prob of picking 1 y and 1 u when two letters picked without replacement from wwwuyhe?
1/21
Four letters picked without replacement from asisaxsviesaevsieaas. What is prob of picking 2 e, 1 v, and 1 s?
12/1615
Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {s: 1, u: 1, t: 1, c: 1, m: 1, k: 2}.
1/21
Two letters picked without replacement from {v: 1, s: 7, j: 12}. What is prob of picking | {
"pile_set_name": "DM Mathematics"
} |
+ 11, -2 = 3*q + q - n. Which is the smallest value? (a) -0.3 (b) q (c) 3 (d) -11
d
Let r(p) = 2*p**2 - 9*p + 7. Let o be r(3). Let s be 2/((-2)/(-6) + -1). What is the second smallest value in -0.4, o, s?
o
Let w(d) = -2*d + 2. Let n be w(1). Let f = 11 - 15. Let g = f - n. What is the third smallest value in 1, g, -2/3?
1
Suppose 2 + 3 = x. Which is the biggest value? (a) x (b) -5/2 (c) 3/5 (d) -0.4
a
Let i = 1.94 - -0.06. Let d = -39 - -36. Which is the third smallest value? (a) -1/2 (b) i (c) d
b
Let o = 19.3 + -19. What is the third smallest value in 3, -4, o?
3
Let p = 0.5 + -0.1. Let o = -20 + 15. Which is the second biggest value? (a) -1 (b) o (c) p
a
Let y = 6 - 5. What is the smallest value in y, 0.1, 4/7, -5?
-5
Let q be (8/4)/(13*1). Let g = -27 + 24. What is the second smallest value in g, -5, q?
g
Let y = 23/8 + -21/8. Which is the second biggest value? (a) y (b) 0.5 (c) 1
b
Let x = 0.8 - -2.2. Let g = 0.1 - 0.3. Let h = 11 + -16. Which is the second smallest value? (a) h (b) g (c) x
b
Let v be (-1 - 15/(-24))*(-30)/(-9). Which is the second biggest value? (a) -0.1 (b) -0.3 (c) v (d) -3/4
b
Let y = -177/5 - -35. Which is the third smallest value? (a) 3/5 (b) 3 (c) -0.2 (d) y
a
Let o = -5.3 + 1.8. Let j = -0.5 + o. Which is the second smallest value? (a) 5 (b) j (c) 2
c
Suppose 3*t + 19 = 5*t + 3*r, 8 = -t + 2*r. Let i = 0 - -4. Let w = 4.5 - i. Which is the smallest value? (a) -5 (b) w (c) t
a
Let d = -1 + 0.6. Suppose 0 = -2*n + a + 4, -5*n - 4*a + 5*a = -10. What is the second smallest value in d, n, 2/15?
2/15
Let x be (-1)/((-166)/104 - 6/39). Let v = -0.1 + -0.1. Which is the smallest value? (a) x (b) -2 (c) v
b
Let w = 18.4 - 18. What is the biggest value in 4, w, 59?
59
Let q = -24 - -25. Which is the biggest value? (a) q (b) -0.1 (c) 2
c
Let w = -10.2 - -9.9. Let g = -2 - -1. Let k = g + 1.1. Which is the third smallest value? (a) w (b) -3 (c) k
c
Let k = -117 + 588/5. What is the smallest value in k, 0.1, -5?
-5
Let c = 0.23 - 0.13. Let j = c + 0.1. What is the biggest value in 1/3, j, -5?
1/3
Let j be 16/(-42) - (-4)/(-14). Let d = 14 - 10. Suppose -d*u = -4*k + 33 + 7, -u + 20 = 5*k. Which is the third biggest value? (a) 2/3 (b) j (c) u
c
Let g = 0.015 - 0.515. Let y = -13 - -13.31. Let u = -0.01 + y. Which is the second biggest value? (a) g (b) u (c) 0
c
Let y = -0.6 + 5.6. Let p = 1 - 1.5. Let x = -1.1 + 1.5. What is the second biggest value in p, x, y?
x
Let n = 0.6 + -0.6. Which is the biggest value? (a) 3/5 (b) n (c) 2/15
a
Let i = -9 - -7. Let m = -8 - -8.07. Let f = 0.27 - m. Which is the third biggest value? (a) 5 (b) f (c) i
c
Let p be 2/(-3) + (-48)/(-153). Let i = p + 112/221. Which is the smallest value? (a) i (b) 2 (c) -2/13
c
Let j = -0.13 - -0.63. What is the biggest value in 3, j, 1/4?
3
Suppose -4*o - 4*i = -20, -5*o = -2*o - 2*i. What is the second smallest value in -3, 4, o, -1/6?
-1/6
Let j = -16 - -23. Suppose 0 = -5*f + 3*n + 17, n + n = -f - j. What is the smallest value in -1, -3/2, f?
-3/2
Suppose -o + 7 = -3*d - 6, 2*o - 17 = 3*d. Suppose w = -w + 4. Which is the second biggest value? (a) o (b) w (c) 1
b
Suppose -4*k + 3*k + 4 = 0. Suppose -k*u + u + 12 = 0. What is the second biggest value in -2/17, u, -1?
-2/17
Let p = 4 + -3.3. Let x = 0.1 + p. Let d = x + -5.8. Which is the third smallest value? (a) -0.5 (b) 0 (c) d
b
Let i be (6/(-18))/(1/5). Which is the second biggest value? (a) i (b) -0.3 (c) -1 (d) -2/7
b
Let o = 0.15 - -7.85. Let d = 4 - o. Let n = 8 - 6. Which is the second smallest value? (a) d (b) n (c) 3
b
Let y = 48/5 - 10. What is the smallest value in 1, 0.1, y?
y
Suppose 2*f = -f. Suppose t + 2 = -y - 2, -t + 4*y - 4 = f. Let m = -0.2 + -0.8. Which is the third smallest value? (a) t (b) 2 (c) m
b
Let y = -16 - -31/2. Which is the third smallest value? (a) y (b) -5/4 (c) -0.2
c
Let y = 306668 - 3989594/13. Let p = -224 - y. What is the biggest value in -0.4, -1/2, p?
p
Let r be 13*(-3 - 4/(-1)). Suppose h - 3 = 3*g + 4*h, -r = g - 5*h. Which is the biggest value? (a) -0.3 (b) g (c) 2/7
c
Let g(q) = -2*q - 5. Let k be g(-1). Which is the third smallest value? (a) -5 (b) k (c) -1 (d) 3/5
c
Let w = -160 - -160.3. Let m(y) = y**2 - 7*y + 8. Let q be m(6). Suppose 0*s + 6 = q*s. Which is the biggest value? (a) w (b) 2 (c) s
c
Let x = -3.01 - -0.01. Let h = 7 + x. Let r = 3 + -3.1. Which is the third smallest value? (a) r (b) h (c) 5
c
Let r be (27/(-12) + 2)/((-11)/(-8)). What is the second biggest value in 4, 0.2, r?
0.2
Let v = -0.295 + 0.595. Let z = 3 + -4. What is the biggest value in z, 0.1, v?
v
Let c be 2/(-18)*4/2. Let f = -4 + 4.05. Let u = -0.15 + f. What is the third smallest value in c, 5, u?
5
Let x = -73/7 + 10. What is the smallest value in x, -3/4, -6?
-6
Let q = 0.1 + -0.1. Suppose -3*s = 2*w + 9, -s - 7 = -3*s + 3*w. Let r be ((-4)/s)/((-45)/(-5)). Which is the second biggest value? (a) q (b) 0.2 (c) r
b
Let m = -0.5 - 4.5. What is the smallest value in -0.1, m, -4?
m
Let t = -0.0619 - -2.9919. Let a = 0.07 + t. What is the third biggest value in 5, -1, a?
-1
Let i(s) = -s**3 - 17*s**2 - s - 13. Let l be i(-17). Which is the third smallest value? (a) 2/3 (b) 1/6 (c) l
c
Let m = -4 - 3. What is the second biggest value in m, -2/7, -4?
-4
Let m = -2.03 + 0.03. Let h = -26 + 28.3. Let t = h + m. Which is the biggest value? (a) t (b) -0.1 (c) 0.4
c
Let i = -1.5 - -2. Let k = -48 - -44. Which is the second smallest value? (a) k (b) i (c) -1
c
Let d be 11 + (1 - 4) - -2. Let j(p) = p**3 - 11*p**2 + 9*p + 8. Let i be j(d). Let z be -1*i/(-10) - 0. What is the smallest value in z, 3/5, -2/9?
-2/9
Suppose 0 = -2*g + 5 - 15. Let q = 8 + g. Suppose -2 = -r - q*h - 1, -4*h + 6 = -r. What is the third smallest value in r, 2, -5/4?
2
Suppose -4*s - 2*w = 2*w - 4, -w = -s + 7. Let u = -0.7 - -1.2. Suppose -g + 5 = -5*r + 13, -3*r = -2*g - 9. Which is the biggest value? (a) u (b) s (c) g
b
Let l be ((-2)/1)/(7 - 5). What is the third biggest value in l, -0.1, -3?
-3
Let y = -0.07 - -0.37. Let k = 11.2 + -11. What is the second biggest value in y, k, 2/5?
y
Suppose 0 = 2*w - 4*h - 2 - 2, 3 = w - h. Suppose 0 = -w*a + 2*a + 252. Let x be 2/(-7) - (-92)/a. What is the second biggest value in -1, x, -2/17?
-2/17
Let p = 0.06 + 0.14. What is the third biggest value in -5, p, 0.3?
-5
Let y(o) = -o**2 - 5*o + 1. Let d be y(-5). Let v be (2/(-91))/(12/(-84)). Which is the second biggest value? (a) d (b) v (c) 5
a
Let x = -4 - -8. Which is the second smallest value? (a) -3/4 (b) -1/8 (c) -0.2 (d) x
c
Let q = -206 - -211. Which is the biggest value? (a) -5 (b) 0.4 (c) -2/5 (d) q
d
Let r = -173.1 + 173. Let b = 55 + -170/3. What is the third smallest value in b, r, -5?
r
Let h = -5 - -2. Let f = -2 - h. Suppose j + 10 = 8. What is the third biggest value in f, j, 4?
j
Let d = -6 - -9. What is the second smallest value in -6, -4, d?
-4
Let p = 6 + 6. Let b = 11 - p. What is the second smallest value in b, -1/5, 4?
-1/5
Suppose g + 0*g = -8. Let n(q) = q - 6. Let w be n(3). Let s be (-2)/w*(-6)/g. What is the third smallest value in s, -4, 0?
s
Let t be (-2)/(-9) - 104/(-18). Let u be (-34)/(-60) + t/(-15). What is the second biggest value in u, 4, -0.4?
u
Let h be (4/90)/((-6)/30). Which is the second biggest value? (a) h (b) -4 (c) -2 (d) -8
c
Let r be ((-20)/(-630))/(2/(-6)). What is the third biggest value in 1/3, -4, r?
-4
Let m be (-3)/36*2 + 0. What is the smallest value in m, 4/9, 0?
m
Let m = -7.8 - 0.2. Let u = m - -7.6. Which is the biggest value? (a) 5 (b) u (c) 4/5
a
Let o be -4*(1 + 7/(-6)). Let s = -0.068 + 9.368. Let d = s - 9. What is the smallest value in o, d, -0.1?
-0.1
Let m = -97/4 - -24. Let b = -39/82 - 1/41. What is the second smallest value in b, 1, m?
m
Let l be (-76)/(-176) + 1/(-4). Let j = 11 - 6. Let k be -3 - -3 - (-4)/30. Which is the second smallest value? (a) k (b) l (c) j
b
Let w = 31 + -35. Which is the second biggest value? (a) -2 (b) 0.4 (c) w
a
Suppose -2*y + f + 5 = 2*y, -7 = 4*y - 5*f. Suppose 2*l = 2*g + 8, l = y*g + g + 2. Let r = -8 + 12. Which is the third smallest value? (a) 3 (b) r (c) g
b
Let y = -5/11 + 36/ | {
"pile_set_name": "DM Mathematics"
} |
54*f. Determine u(-9).
405
Let z(d) = -15*d**2 + 86*d + 12. What is z(8)?
-260
Let b(m) = 3*m**2 - 132*m - 961. Give b(51).
110
Let g(d) = -246*d**3 + 3*d**2 - 3. What is g(-1)?
246
Let s(p) = -6*p**3 + 46*p**2 - 54*p + 10. Calculate s(6).
46
Let u(s) = s**2 - 76*s + 1257. Calculate u(49).
-66
Let q(j) = 277*j + 2485. Calculate q(-9).
-8
Let p(i) = 4*i**3 + 597*i**2 + 173*i + 3598. Determine p(-149).
22
Let v(k) = -14*k**3 - 74*k**2 + k - 1. Calculate v(-5).
-106
Let c(b) = 116*b - 243. Give c(2).
-11
Let x(h) = 6561*h + 216512. What is x(-33)?
-1
Let s(k) = k**2 + 31*k - 83. Calculate s(-34).
19
Let i(n) = n**3 - 61*n**2 - 110*n - 1006. Calculate i(63).
2
Let v(d) = -2*d**3 + 91*d**2 - 43*d - 147. What is v(45)?
-57
Let d(c) = -40*c + 215. Determine d(5).
15
Let x(q) = -351*q + 1798. Determine x(5).
43
Let m(c) = -5*c**2 - 55*c + 131. Calculate m(-18).
-499
Let c(x) = 21*x - 280. Give c(14).
14
Let i(q) = 1258*q + 12586. Determine i(-10).
6
Let r(x) = x**3 + 12*x**2 - 27*x + 265. Determine r(-15).
-5
Let m(y) = -y**2 + 52*y + 739. Give m(64).
-29
Let j(d) = -2*d**3 + 109*d**2 + 529*d + 119. What is j(59)?
1
Let g(m) = -4*m**2 + 28*m - 7. Give g(7).
-7
Let x(i) = -421*i - 5061. Give x(-12).
-9
Let u(y) = 36*y - 689. Determine u(19).
-5
Let l(x) = 3*x**3 - 2*x**2 - 31. Determine l(0).
-31
Let j(h) = -98*h + 972. Calculate j(10).
-8
Let u(n) = n**3 - 72*n**2 - 635*n - 397. Give u(80).
3
Let f(i) = i**2 + 2*i - 220. What is f(-12)?
-100
Let r(d) = d**2 - 76*d - 296. Determine r(-4).
24
Let s(g) = -6*g**2 - 97*g - 21. Give s(-15).
84
Let n(q) = -732*q - 5370. What is n(-7)?
-246
Let b(w) = -w**2 - 2639*w - 15833. Give b(-6).
-35
Let r(d) = -3*d**2 + 20*d - 16. Give r(8).
-48
Let a(q) = -88*q - 595. Determine a(-7).
21
Let g(i) = -i**2 + 17*i + 133. What is g(-6)?
-5
Let h(f) = -2*f**2 + 93*f - 935. Determine h(15).
10
Let x(g) = -64960*g - 454718. Give x(-7).
2
Let i(u) = -19*u - 1970. Give i(-104).
6
Let i(t) = -t**3 + t**2 - 378*t + 1564. Determine i(4).
4
Let z(m) = -7*m**2 + 285*m - 200. What is z(40)?
0
Let b(a) = -a**2 - 3*a + 107. Calculate b(13).
-101
Let h(j) = 2143*j - 2. Determine h(0).
-2
Let b(q) = -7*q**2 - 57*q + 6. Give b(-8).
14
Let r(b) = b - 103. What is r(-39)?
-142
Let t(o) = o**3 + 3*o**2 - 14*o - 3. Determine t(3).
9
Let y(c) = c**3 - 22*c**2 + 17*c + 459. Give y(20).
-1
Let n(j) = j**3 - 7*j**2 - 8*j + 10. What is n(7)?
-46
Let q(x) = -866*x - 11264. Determine q(-13).
-6
Let j(o) = -o**2 + 22*o - 49. What is j(5)?
36
Let b(d) = -1729*d + 10380. Give b(6).
6
Let l(h) = -h**2 - 37*h - 317. Give l(-16).
19
Let y(n) = 6*n**2 - 39*n + 8. Give y(6).
-10
Let z(x) = 1995*x - 1. Give z(0).
-1
Let q(i) = -23*i**2 + 33*i + 33. Give q(2).
7
Let s(l) = 6*l**2 - 555*l + 12264. Determine s(56).
0
Let s(x) = -18*x + 308. Give s(21).
-70
Let y(a) = -18*a + 369. What is y(23)?
-45
Let g(m) = 2657*m + 2667. Calculate g(-1).
10
Let v(k) = -k**3 + 23*k**2 - 47*k + 143. Determine v(21).
38
Let g(w) = 9*w**2 + 2*w + 15. What is g(-5)?
230
Let g(b) = -460*b + 1376. Give g(3).
-4
Let n(o) = -493*o - 34510. Give n(-70).
0
Let z(x) = 180*x**2 - 17*x - 10. Calculate z(-1).
187
Let k(r) = 749*r - 2252. Determine k(3).
-5
Let x(k) = 11*k**2 - 72*k + 682. Give x(11).
1221
Let l(s) = 1282*s + 2565. What is l(-2)?
1
Let n(w) = -19*w**2 + 1022*w - 1772. What is n(52)?
-4
Let v(g) = 6*g**3 - 19*g**2 - 22*g + 25. What is v(4)?
17
Let f(t) = -88*t - 1771. Give f(-20).
-11
Let z(g) = 2*g**2 - 43*g + 85. Calculate z(20).
25
Let r(v) = 5549*v - 16649. What is r(3)?
-2
Let g(k) = k**2 - 48*k - 331. Calculate g(-6).
-7
Let s(z) = z**3 - 2*z**2 - 20*z + 35. What is s(6)?
59
Let r(y) = -166*y - 2827. Give r(-17).
-5
Let o(t) = 104*t + 3916. Determine o(-39).
-140
Let f(d) = 4*d**2 + 36*d - 15. Determine f(-13).
193
Let z(f) = f**3 - 36*f**2 - 75*f + 60. What is z(38)?
98
Let o(z) = -z**2 + 30*z + 4539. What is o(-54)?
3
Let y(c) = -351*c - 9853. Determine y(-28).
-25
Let q(m) = -37*m**2 - 14*m + 15. Give q(1).
-36
Let y(p) = -p**3 + 13*p**2 + 2*p - 155. Give y(9).
187
Let z(w) = -48*w + 496. What is z(11)?
-32
Let o(i) = -326*i - 655. Calculate o(-2).
-3
Let n(m) = -221*m**2 - 2214*m - 39. What is n(-10)?
1
Let t(d) = d**2 + 96*d + 1670. Calculate t(-73).
-9
Let u(j) = -26*j**2 - 125*j - 16. Calculate u(-4).
68
Let n(v) = 2*v**3 - 25*v**2 + 4*v + 68. Determine n(12).
-28
Let i(x) = 93*x + 92. Give i(-6).
-466
Let o(j) = j**3 - 27*j**2 + 58*j - 819. What is o(26)?
13
Let d(z) = -59*z**3 + 2*z**2 - z + 21. Give d(0).
21
Let s(l) = l**3 - 10*l**2 - 10*l - 53. Give s(12).
115
Let g(q) = -154*q - 16895. Determine g(-110).
45
Let i(f) = -5*f**2 + 259*f + 1303. Determine i(-5).
-117
Let r(z) = -1075*z - 19359. Calculate r(-18).
-9
Let g(x) = x**3 + 9*x**2 - 30*x + 106. Give g(-12).
34
Let l(g) = 31*g**2 + 3605*g - 2565. Calculate l(-117).
9
Let w(p) = p**3 - 66*p**2 - 212*p + 444. Determine w(69).
99
Let l(b) = -b**2 - 87*b - 255. Determine l(-84).
-3
Let l(t) = -2*t**2 + 38*t - 143. Calculate l(14).
-3
Let p(j) = -2*j**3 + 136*j**2 + 841*j + 3474. Give p(74).
-4
Let z(g) = g**2 + 323*g - 2843. Give z(9).
145
Let o(b) = -17*b**2 + 1439*b - 2872. Give o(2).
-62
Let l(t) = 50*t + 153. What is l(-4)?
-47
Let b(q) = 37*q + 107. Give b(-4).
-41
Let a(q) = 5*q**2 - 287*q - 167. What is a(58)?
7
Let g(r) = -303*r + 600. Calculate g(2).
-6
Let j(k) = 169*k + 15192. Give j(-90).
-18
Let f(t) = -2*t**3 + 10*t**2 + 91*t + 89. What is f(10)?
-1
Let a(r) = 1290*r + 6435. What is a(-5)?
-15
Let k(g) = -95*g**2 - 3*g + 4. Calculate k(1).
-94
Let a(b) = -3*b**3 + 128*b**2 - 76*b - 347. What is a(42)?
-11
Let y(p) = -p**3 - 16*p**2 - 38. Calculate y(-16).
-38
Let c(b) = 2*b**2 - b - 5. Calculate c(3).
10
Let g(n) = 2*n**3 - 128*n**2 - 115*n - 150. Calculate g(65).
825
Let l(b) = -8*b + 57. Determine l(18).
-87
Let m(a) = a**3 + 11*a**2 - 197*a - 2151. Determine m(-10).
-81
Let k(q) = -343*q + 712. Calculate k(2).
26
Let v(w) = -11*w - 173. Determine v(-13).
-30
Let i(u) = -75*u**3 - 39*u + 40. Give i(1).
-74
Let c(a) = 6*a**3 + 8*a**2 - 32*a - 21. What is c(-6)?
-837
Let l(z) = z - 9. Give l(-6).
-15
Let m(i) = 2*i**3 + 23*i**2 - 152*i - 152. Determine m(-16).
-24
Let t(o) = -3*o**3 - 33*o**2 + 50*o + 354. What is t(-11)?
-196
Let o(j) = 37*j + 871. What is o(-24)?
-17
Let l(k) = -k**2 - 42*k + 342. Calculate l(-49).
-1
Let x(q) = 84*q + 12922. What is x(-155)?
-98
Let v(q) = -376*q - 56783. Determine v(-151).
-7
Let h(g) = -g**3 - 12*g**2 + 28*g + 51. What is h(3)?
0
Let s(o) = -2*o**2 - 48*o - 4. Calculate s(-20).
156
Let t(w) = w**3 - 4*w - 6. What is t(-2)?
-6
Let q(d) = 47*d + 643. What is q(-14)?
-15
Let g(p) = p**3 - 29*p**2 + 6. Calculate g(0).
6
Let c(u) = -u**2 + 2326*u + 4652. What is c(-2)?
-4
Let j(r) = -5*r**2 - 83*r + 34. Calculate j(-21).
-428
Let j(t) = -t**3 - 8*t**2 + t + 71. Determine j(-6).
-7
Let b(a) = -a**2 - 60*a - 422. Determine b(-52).
-6
Let a(p) = 7506*p + 45015. Calculate a(-6).
-21
Let g(i) = 13*i**2 - 1445*i + 1444. Calculate g(1).
12
Let h(n) = -48*n - 142. Give h(-4).
50
Let k(x) = -24*x - 122. Give k(-10).
118
Let y(w) = -w**2 + 140*w + 3570. What is y(-22)?
6
Let z(c) = -2*c**2 + 106*c + 355. Determine z(56).
19
Let t(l) = -806*l**2 + 7*l - 6. Determine t(1).
-805
Let k(d) = -4*d + 313. Calculate k(69).
37
Let g(s) = -10*s**3 + 17*s**2 - 9*s + 1. Determine g(2).
-29
Let g(k) = -k**3 + 2*k**2 - 10*k - 165. What is g(0)?
-165
Let f(t) = -35*t - 503. Give f(-15).
22
Let b(y) = -y**2 + 835*y + 4205. Calculate b(-5).
5
Let s(n) = -44*n**2 + 45*n + 27. Determine s(-1).
-62
Let h(g) = -g**3 - 32*g**2 + 323*g - 31. Determine h(8).
-7
Let i(t) = 5*t**2 + 31*t + 11. Give i(5).
291
Let p(i) = 174*i**2 - 4524*i - 1. Give p(26).
-1
Let n(v) = -v**3 + 25*v**2 + 310*v + 15. Determine n(-9).
-21
Let r(z) = -2088*z - 112763. Determine r(-54).
-11
Let a(l) = -2*l**3 - 82*l**2 - 152*l + 107. Determine a(-39).
-49
Let y(t) = -3*t**2 - 31*t - 16. Give y(-9).
20
Let w(q) = 276*q - 19. Determine w(0).
-19
Let z(y) = y**3 - 8*y**2 - 3*y - 100. Give z(11).
230
Let i(b) = 2*b**2 + 63*b + 289. Determine i(-22).
-129
Let g(z) = -z**2 + 7*z + 15. What is g(-3)?
-15
Let w(v) = -4*v**3 + 95*v**2 - 69*v + 8. What is w(23)?
8
Let t(g) = -5*g**3 + 21*g**2 - 11*g - 8. Give t(4).
-36
L | {
"pile_set_name": "DM Mathematics"
} |
/110)
Simplify ((g*(g/(g/g**7))/g)/(g**(-2)/g*g))/(g**(1/2))**(-4/17) assuming g is positive.
g**(155/17)
Simplify (r**8/r)/r**(-7/3) assuming r is positive.
r**(28/3)
Simplify ((i/(i**(2/25)/i)*i)/((((i**(-9)/i)/i)/i*i)/i))/((i/(i**(-2)/i))/(i**(4/9)*i)) assuming i is positive.
i**(2782/225)
Simplify g**(2/19)*g*g/(g*g**4)*(g/((g/(g/g**(-2/3)))/g))**(1/54) assuming g is positive.
g**(-4379/1539)
Simplify (d*((d*d*d*d**1*d)/d*d)/d*d*d**11)**(10/13) assuming d is positive.
d**(170/13)
Simplify ((t**(-7)*t)/t**(-1/16))**10 assuming t is positive.
t**(-475/8)
Simplify w*w/w**32*w*w*w**(-10)*w*w assuming w is positive.
w**(-36)
Simplify (o**(3/7))**(-7/11) assuming o is positive.
o**(-3/11)
Simplify (w/w**13)**(-50) assuming w is positive.
w**600
Simplify (t/t**(-2/3)*(t*(t*(t/(t*t/t**(-3)*t))/t)/t*t)/t)/(t**(-8)*t*t*t*((t/(t*t/(t*((t*(t*t**(-1))/t)/t)/t)*t))/t)/t) assuming t is positive.
t**(20/3)
Simplify f**(-1/8)*f**(1/5)*f/(f/(f**8*f))*f**(-1/4)*f assuming f is positive.
f**(393/40)
Simplify (m**(-5)*m)**11 assuming m is positive.
m**(-44)
Simplify (d**(-4/5)*d)/d**(-1/2)*d/(d*(d/(d*(d/(d/(d*d/d**(-1/5)*d*d*d*d*d)))/d)*d*d)/d)*d*d**6/d assuming d is positive.
d**(119/10)
Simplify l**6*l*l*l**(-3/10)*l*(l/l**(-4))/(l/(l*l**6)) assuming l is positive.
l**(197/10)
Simplify ((c/(c**(-7)*c))**(-2/23))**(18/5) assuming c is positive.
c**(-252/115)
Simplify ((((w*(w**5/w)/w)/w)/w*w*w)/(w/w**(-2/3)))/(w**(1/3))**14 assuming w is positive.
w**(-7/3)
Simplify (r*r/(r/((r/(r**(-16)*r))/r)))**(1/41) assuming r is positive.
r**(16/41)
Simplify (q/(q**17*q))/q**25 assuming q is positive.
q**(-42)
Simplify b/(b**(-5)*b)*(b/b**9*b)/b assuming b is positive.
b**(-3)
Simplify (d/(d/(d**1/d*d))*d*d**(-1))/(d**(2/7))**(-1/35) assuming d is positive.
d**(247/245)
Simplify (v/v**8)/(v*v**(-3)) assuming v is positive.
v**(-5)
Simplify n*n**(-2/3)*n/n**(2/23)*((n**(-2)/n*n)/n)/n**(3/7) assuming n is positive.
n**(-1054/483)
Simplify p**(-3/8)*p/(p*p**15*p*p) assuming p is positive.
p**(-139/8)
Simplify g**(-7/3)*g**(-1/6)*g*g assuming g is positive.
1/sqrt(g)
Simplify (a*a**(-1/12)*a)/(a**0*a)*(a**(-2))**33 assuming a is positive.
a**(-781/12)
Simplify (j**(4/13))**(2/13) assuming j is positive.
j**(8/169)
Simplify ((b/(b/b**1))/b)**(-23)/(b/(b/(b/(b*((b*b*b**(-6))/b)/b)*b))*(b**6/b)/b) assuming b is positive.
b**(-11)
Simplify (c/(c/((c**(-1)*c)/c*c)))**40/(c*c**(-2/3))**(-13) assuming c is positive.
c**(13/3)
Simplify ((m**(1/6)/m)/(m/m**(-1/6)*m*m*m*m*m))**20 assuming m is positive.
m**(-140)
Simplify (t/(t/t**2)*t)**(2/75) assuming t is positive.
t**(2/25)
Simplify ((d**(-5))**(6/29))**34 assuming d is positive.
d**(-1020/29)
Simplify (t*t**(1/10))/(((t*t*(t*t**(-37)*t)/t*t)/t)/t) assuming t is positive.
t**(361/10)
Simplify (m/(m/(m/m**(2/33))))/(m/m**15) assuming m is positive.
m**(493/33)
Simplify (b**(3/4)*b**(-4/11)*b*b)**0 assuming b is positive.
1
Simplify v**(3/8)*v**(2/13)*v**(-1/2)*v*((v*v*v**(1/10)*v)/v)/v assuming v is positive.
v**(1107/520)
Simplify (i**(-3/5)/i)**(-19) assuming i is positive.
i**(152/5)
Simplify (f*f**(-3/11))**(-47) assuming f is positive.
f**(-376/11)
Simplify (v**1)**(3/7)*v/v**(-2/7)*v*v**(-3/4)/v*v*v assuming v is positive.
v**(83/28)
Simplify (w**(2/7))**(12/7)/(w**10/((w*w/w**(-6/11)*w)/w*w)) assuming w is positive.
w**(-3215/539)
Simplify (x**(-10)/x)/x*x**(3/19) assuming x is positive.
x**(-225/19)
Simplify (h**(-2/7))**29*h**4*h**(1/4) assuming h is positive.
h**(-113/28)
Simplify (w*w*w*(w**1*w*w)/w)**(-31)*(w/(w/(w*w**1)))**(2/11) assuming w is positive.
w**(-1701/11)
Simplify ((y/(y*y**(-6)/y*y))/y**(2/41))**(-41) assuming y is positive.
y**(-244)
Simplify (j*j**9)**(-1/15) assuming j is positive.
j**(-2/3)
Simplify q**(2/3)/q**(-18) assuming q is positive.
q**(56/3)
Simplify (g**2)**36*(g*g*(g**(-7)/g)/g)/(g**7*g*g) assuming g is positive.
g**56
Simplify h**(-16)/((h*h/(h*h**(-12)))/h) assuming h is positive.
h**(-28)
Simplify (o**(1/6)/o**4)**(-1/17) assuming o is positive.
o**(23/102)
Simplify (n**2*n*n*n*n/n**(-2/7)*n*n)/(n**(-1))**(-42) assuming n is positive.
n**(-236/7)
Simplify (((m**3/m)/m)/(m*m**(1/6)))**7 assuming m is positive.
m**(-7/6)
Simplify o**(-4)*o**1*o*o*o*(o**(-2/5)/o)**(-1) assuming o is positive.
o**(7/5)
Simplify ((w/w**2)**(13/7))**(-37/4) assuming w is positive.
w**(481/28)
Simplify s**(2/13)/(s/((s**(-1/15)/s)/s))*(s*s*s**1)**(2/13) assuming s is positive.
s**(-478/195)
Simplify ((f**(-2)*f*f)/f)/(((f/(f/f**(-1/3)*f))/f*f)/f)*f**(-2/13)*f*f/((f*f**(2/23))/f*f)*f assuming f is positive.
f**(2774/897)
Simplify (o/o**(4/15))**34 assuming o is positive.
o**(374/15)
Simplify (w**(-1/4)*w*w)**(-10/11) assuming w is positive.
w**(-35/22)
Simplify (g**(-11))**(2/31) assuming g is positive.
g**(-22/31)
Simplify ((l/(l*l**(-2/17)))**(3/14))**(1/11) assuming l is positive.
l**(3/1309)
Simplify (m*(m/(m/(m**11*m*m)*m))/m*m)/m**(-2/27) assuming m is positive.
m**(353/27)
Simplify x*x**2*x*x**6*x*(x*x**(2/5)*x)/x**(1/6) assuming x is positive.
x**(397/30)
Simplify (g**(-4)*g/(g*g**(3/7)*g)*g)**(2/7) assuming g is positive.
g**(-62/49)
Simplify (m*m**(-2/5)*m*m*(m*m*m**6*m)/m)**(1/10) assuming m is positive.
m**(53/50)
Simplify (d**(2/27)*d/(((d**9*d)/d)/d))**(2/13) assuming d is positive.
d**(-374/351)
Simplify q**(-4/11)*q*(q**(5/6)*q*q)/q assuming q is positive.
q**(163/66)
Simplify ((j**(-2/11))**(-1/18))**(-46) assuming j is positive.
j**(-46/99)
Simplify (k/((k*k*k**(-2))/k))**37*k**(1/4)*(k*k**8)/k assuming k is positive.
k**(329/4)
Simplify i**(-11)*i**7*i assuming i is positive.
i**(-3)
Simplify (u**(-3/13))**(-1/67) assuming u is positive.
u**(3/871)
Simplify o**(-13)/((o*o**14)/o) assuming o is positive.
o**(-27)
Simplify ((w/((w*w**(1/11))/w*w))/w)/w**14 assuming w is positive.
w**(-166/11)
Simplify (b**1*b**(-2/25)/b)**(1/2) assuming b is positive.
b**(-1/25)
Simplify ((l/(l**(1/4)/l))/(l*l**(5/4)))/(l**(-1/9)*l*((l**(-1/4)*l*l)/l*l)/l) assuming l is positive.
l**(-77/36)
Simplify q**(-1/3)/q**(-2/11)*q**(-2/19)*q/(q/((q**(-4/5)*q*q)/q*q)) assuming q is positive.
q**(2957/3135)
Simplify b/(b**(3/5)/b)*(b/b**11*b)/b assuming b is positive.
b**(-43/5)
Simplify (z*z**(1/3))/z*z/(z/(z**(16/9)*z)) assuming z is positive.
z**(28/9)
Simplify s/(s/((s*s*s*s*s/(s/s**(6/11)))/s)*s*s)*s*(s*s/((s/(s/(s/(s*s/(s**(-8)*s))*s))*s)/s)*s)/s*(s/((s**(4/5)/s)/s))/((s*s*s**9)/s) assuming s is positive.
s**(206/55)
Simplify k**9/(k*k/(k/k**8)) assuming k is positive.
1
Simplify (y/y**(-2/7)*y**(-1/24)/y)**(-21) assuming y is positive.
y**(-41/8)
Simplify (o*o*o*o**(-2)*o)**(-48)*(o*o/o**2)**(-3/4) assuming o is positive.
o**(-96)
Simplify (w*w/((w/(w*w**(-1)))/w))**(11/6) assuming w is positive.
w**(11/3)
Simplify (c**(2/7)/c*c*c/c**5)**3 assuming c is positive.
c**(-78/7)
Simplify (n**(-3/5)*n*n**(-3/5))/(n/((n**(-1)/n*n)/n)*n*n**(-1/2)) assuming n is positive.
n**(-37/10)
Simplify a**(-29)/(a/((a/(a**(-15/4)/a))/a)) assuming a is positive.
a**(-101/4)
Simplify (x**2*x*x**4)/(x**(2/9)*x/x**(1/5)) assuming x is positive.
x**(269/45)
Simplify (p**(-1/2)*p)**(-36)*(p*p*p/(p/p**(1/5))*p)**(6/7) assuming p is positive.
p**(-534/35)
Simplify a/(a*a/((a**(-2/3)/a)/a))*a/a**(8/7) assuming a is positive.
a**(-80/21)
Simplify (i*i**(-8)*i*i*i*(i/i**(-1/7))/i)**(-13/6) assuming i is positive.
i**(117/14)
Simplify ((n/(n*n**1))/n**(-7))**(10/9) assuming n is positive.
n**(20/3)
Simplify (r*r**(1/12))**(-32) assuming r is positive.
r**(-104/3)
Simplify l**2/(l/l**(-2))*(l**(1/4)*l)**(-16) assuming l is positive.
l**(-21)
Simplify (k/k**1)**(-1/69)/((k*k*k**1*k*k)/k*k*k**(-3/8)) assuming k is positive.
k**(-37/8)
Simplify c**(-3/17)*c*c**(-1/5) assuming c is positive.
c**(53/85)
Simplify (f*f**(3/7)*f*f**(3/5)/f)/((f*f*(f**(-1/3)/f)/f)/f)**22 assuming f is positive.
f**(3293/105)
Simplify (c**1*c)**(-22/9)*(c**1*c)**(-9/11) assuming c is positive.
c**(-646/99)
Simplify ((y**(-5/4)*y*y*y)/(y*y/(y/(y**5*y))))/((y*y**(1/5))/y*y*y*((y**5*y)/y)/y) assuming y is positive.
y**(-229/20)
Simplify ((x/(x/((x*x**(-1/11)/x*x)/x))*x)/(x*x**(-1/5)))/(x*x*x*x**(2/7))**19 assuming x is positive.
x**(-23993/385)
Simplify p**(1/52)/p*p**21/p*p assuming p is positive.
p**(1041/52)
Simplify ((i*i/(i**(1/3)*i)*i)/i)**(2/37)*(i*i**(6/5))/i**(1 | {
"pile_set_name": "DM Mathematics"
} |
t(187)*-1*-5 - (sqrt(187) - 2*-3*sqrt(187)))/((-3*sqrt(99) + sqrt(99))*-3*1).
-11*sqrt(17)/18
Simplify (sqrt(84)/(1*sqrt(4)*-1)*6)/((sqrt(700) - 2*sqrt(700))*3*6).
sqrt(3)/30
Simplify 4 + sqrt(1053)*1 + -5*(sqrt(1053) + -1 - sqrt(1053)) + -1 - -6*(sqrt(1053) + 0)*4*-1.
-207*sqrt(13) + 8
Simplify ((sqrt(1029) - (sqrt(1029) + sqrt(1029) + 4*sqrt(1029)))*6)/((sqrt(343) + sqrt(343)*-4)*-6 + sqrt(343)) + 5.
-30*sqrt(3)/19 + 5
Simplify 4 + ((sqrt(99) + -2 + sqrt(99) - sqrt(99))*-6)**2 + -3*(-1 + sqrt(99)) + 1 + -2.
-441*sqrt(11) + 3714
Simplify (1*sqrt(91)*-1 - -4*(sqrt(91) + (sqrt(91) - sqrt(91)*-2) + sqrt(91) + sqrt(91)))/(sqrt(112)/(sqrt(4) - (sqrt(4) - -4*sqrt(4)))) + -3.
-46*sqrt(13) - 3
Simplify 6*(1*(-3*sqrt(99) - sqrt(99)) - ((sqrt(99) - 3*sqrt(99))*6 + sqrt(99)))/(sqrt(729)*-1*-2 + 4*(sqrt(729) - (-1*sqrt(729) + sqrt(729)))).
7*sqrt(11)/9
Simplify (sqrt(84)/sqrt(2)*5 + -1*sqrt(378))/(sqrt(216)*-1*6*6).
-sqrt(7)/108
Simplify ((sqrt(320) - (sqrt(320) + (sqrt(320) - sqrt(320)*5) + sqrt(320) - sqrt(320)))*-2)/(-5*sqrt(324)).
32*sqrt(5)/45
Simplify (sqrt(605)*-2 + sqrt(605))*5 + sqrt(90)/sqrt(2) + 5 - ((sqrt(90)/(sqrt(9) + sqrt(9) + sqrt(36)) - sqrt(10))/sqrt(2) - sqrt(10)/sqrt(512)).
-819*sqrt(5)/16 + 5
Simplify (-4 + 5 + 0 + (sqrt(2736) - (sqrt(2736) + -1)) + -4 + 1 + sqrt(2736) + sqrt(2736) + sqrt(2736) + -5)**2.
-432*sqrt(19) + 24660
Simplify ((sqrt(8) - 3*sqrt(8)*1)/(sqrt(24)/(sqrt(12)*-1)))/(sqrt(128) + sqrt(128)*-3 + (sqrt(16) + 2*sqrt(16))/sqrt(8)).
-2*sqrt(2)/13
Simplify ((2*1*sqrt(3000) - sqrt(3000))*3)/(sqrt(864) + -2*sqrt(864)*-4 + sqrt(864) + (sqrt(864)*-1 - sqrt(864))*3)*-5.
-25*sqrt(5)/8
Simplify (sqrt(77) + (1*sqrt(77)*-5 + sqrt(77) + sqrt(77) - sqrt(77)) - (sqrt(77) + -1*sqrt(77) + sqrt(77) + sqrt(77))*-2)/(-1*sqrt(112)*-4).
sqrt(11)/16
Simplify (sqrt(114) - (sqrt(114) - -5*-1*sqrt(114)))/(sqrt(6) + (2*sqrt(6) - sqrt(6))*4) + 0 + (sqrt(1539) + sqrt(1539) + 0 + sqrt(1539))**2 + -2.
sqrt(19) + 13849
Simplify (-4*sqrt(3024)*-2)/(sqrt(300) + 6*sqrt(300)*3 + sqrt(300)).
12*sqrt(7)/25
Simplify 1*(0 + -1*sqrt(325)*4 + -2 + -3 + -2 + sqrt(13)*3).
-17*sqrt(13) - 7
Simplify (((sqrt(130)*1*5 + sqrt(130) - sqrt(130)) + sqrt(130) + -5*sqrt(130)*2)/(3*-1*sqrt(640) - sqrt(640))*-4)**2.
13/4
Simplify 3 + ((4*(sqrt(832) + -2) - (5 + 3*sqrt(832)))**2 + 2)*1.
-208*sqrt(13) + 1006
Simplify (sqrt(85) + -3*-1*sqrt(85) - (-1*sqrt(85) - sqrt(85))*2)/(sqrt(55)/(1*sqrt(11)) - sqrt(15)/sqrt(75)).
10*sqrt(17)
Simplify ((-2*(sqrt(190) - sqrt(190)*-1) + -2*sqrt(190)*-1)*2)/(-2*(-1*sqrt(490) + (sqrt(10) - sqrt(120)/(sqrt(60)/sqrt(5))))).
-2*sqrt(19)/7
Simplify ((sqrt(432)*-2 - (sqrt(9)/sqrt(3) + -2))*1)**2 - (sqrt(24)/sqrt(2) + 5 + (sqrt(120)/(sqrt(50)/sqrt(5)) - sqrt(12))**2).
-102*sqrt(3) + 1874
Simplify (6*-3*sqrt(228)*1)/(sqrt(1452) - ((sqrt(1452) + sqrt(1452)*3)*6 + sqrt(1452)))*4.
3*sqrt(19)/11
Simplify 3 + sqrt(35)/((sqrt(7) - (sqrt(7) + sqrt(35)/sqrt(5) + sqrt(7)))*-6 - sqrt(7))*3 + (sqrt(10)/sqrt(2) + sqrt(5) + 0 + sqrt(5) - (-1 + sqrt(5)*1)).
4 + 25*sqrt(5)/11
Simplify ((sqrt(27) - sqrt(243))*-4*-6*-6)/(5*((sqrt(18)/sqrt(2) - sqrt(9))*-3 + 2*sqrt(27)/sqrt(3))).
144*sqrt(3)/5
Simplify (4*(((sqrt(576)*-1 - sqrt(9)) + sqrt(9) + sqrt(9))/((sqrt(3) - sqrt(27))*3) + -1) + 1)*6.
-18 + 28*sqrt(3)
Simplify (1*(-4*(1 + (sqrt(112) - (sqrt(112) + 5 + sqrt(112) + 1) - (-4 + (sqrt(112) - (sqrt(112) - sqrt(112)*-4))))) + 0))**2.
-384*sqrt(7) + 16144
Simplify ((sqrt(459) - (2*sqrt(459) + sqrt(459))) + (sqrt(7344) + (sqrt(7344) - sqrt(7344)*2) - sqrt(7344)))/(-3*sqrt(243)*6) + 2.
sqrt(17)/9 + 2
Simplify (6*(sqrt(234)/(sqrt(9)*1) + (-1*sqrt(3146) - sqrt(3146) - sqrt(3146)) + sqrt(26)))/((sqrt(96) + (sqrt(96) - sqrt(96)*-2*-5))/sqrt(3)).
93*sqrt(13)/16
Simplify (sqrt(400)*-2*-2*3)/((sqrt(35)*-1*-4)/(sqrt(112)*2)).
96*sqrt(5)
Simplify sqrt(9)/(2*sqrt(18)/sqrt(6)) + -4 + -5*((sqrt(75) + 1 + sqrt(75) + sqrt(75))**2 + sqrt(3) + sqrt(6)/(sqrt(8)/sqrt(4))).
-3384 - 319*sqrt(3)/2
Simplify (-1*(sqrt(153)*-2*-1 + sqrt(153) - (sqrt(153) + -3*(1*sqrt(153) - sqrt(153)))))/(sqrt(900) + sqrt(900)*-2 + sqrt(900) - (sqrt(225)*1 + sqrt(225))).
sqrt(17)/5
Simplify ((sqrt(66) - (sqrt(66) - -6*(sqrt(66) + sqrt(66)*2)) - 6*(sqrt(66) - sqrt(66)*-3))/(-3*-6*sqrt(600)*1))**2.
539/900
Simplify ((2 + 0 + sqrt(108) + sqrt(108))*-5)**2 - (-3 + (2*sqrt(15)/sqrt(5)*-5)**2).
1200*sqrt(3) + 10603
Simplify (3*(-1 + sqrt(2880) + -2 + sqrt(2880)*-1 + 1 - (0 + sqrt(2880))*-1*2))**2.
-1728*sqrt(5) + 103716
Simplify -2 + ((sqrt(117)*2 + 3 - ((sqrt(117) - (0 + sqrt(117) + 0)) + sqrt(117) - sqrt(117)) - 1*(sqrt(117) + (sqrt(117) + 1)*4)) + 2 + -1)**2.
1051
Simplify (2 + ((((-1*sqrt(136) + sqrt(136) - sqrt(136))/sqrt(8) + 2 - (-1*sqrt(272) + 1)) + 1)*5)**2)*-5.
-19635 - 1500*sqrt(17)
Simplify (-1*sqrt(98)/sqrt(7)*4)/(sqrt(24)/(sqrt(12) - -2*sqrt(12)) + (6*(sqrt(32) + sqrt(2)) - sqrt(2))) + 5.
-3*sqrt(7)/22 + 5
Simplify -5*(sqrt(3) + -3) + sqrt(75)*-6 - ((sqrt(3) - (sqrt(3) + sqrt(3) + -1)) + 4 + (sqrt(48) + sqrt(48) + 2 - sqrt(3)))**2.
-119*sqrt(3) - 142
Simplify -1*(sqrt(567) + (-1*(2 + sqrt(567)))**2 - (sqrt(567) + 2 + 0)**2 - (0 + (2 + sqrt(567) + 1*sqrt(567) - sqrt(567)))).
2
Simplify (((-1*sqrt(24))/sqrt(12) + (sqrt(6)/sqrt(3) - sqrt(2))**2*-4)*-6 + (-5*(4 + -5*sqrt(2) - sqrt(2)))**2 + 5)*-5.
-11025 + 5970*sqrt(2)
Simplify (5 + -2 + sqrt(1100) + 0 + sqrt(1100) - (5 + 2 + sqrt(704) + -1))**2 + 3.
-72*sqrt(11) + 1596
Simplify (3*(-2 + (5*(sqrt(2400) - -1*sqrt(2400)))/((sqrt(8) - 5*-2*sqrt(8))*3) + -2))**2.
-2400*sqrt(3)/11 + 47424/121
Simplify (-5*(sqrt(72)/sqrt(3) + sqrt(24)) + 1*sqrt(24)*3)/(-2*-1*sqrt(8)*-1*-1).
-7*sqrt(3)/2
Simplify sqrt(171)*2 + sqrt(19) + -1*sqrt(19)*-5 + (2*sqrt(304))**2 + -5 + ((-2*(0 + sqrt(2736)))**2 + 0)*-2.
-20677 + 12*sqrt(19)
Simplify (-4*(sqrt(250) + sqrt(10)) - sqrt(40)/sqrt(196))/((sqrt(350)*-1)/(-2*sqrt(112) + sqrt(7))).
-169*sqrt(5)/5
Simplify (-4 + (2*sqrt(1088)*-1 - sqrt(1088) - 3*sqrt(1088)*1) + 1 + 5)**2*5.
-960*sqrt(17) + 195860
Simplify ((sqrt(720)*1*5 + sqrt(720))*1)/((sqrt(250) + -1*sqrt(250) + sqrt(250) + sqrt(10))*-2*6).
-sqrt(2)/2
Simplify ((2 + sqrt(567))*4 - -2*sqrt(567)*1)**2 + 2 + (((-1 + sqrt(567))*-6 - sqrt(567))**2 - sqrt(567)) + 4.
99*sqrt(7) + 48301
Simplify (-6*(sqrt(16) + -2*sqrt(576) + sqrt(576) + sqrt(16)))/((sqrt(48)/sqrt(3)*5)/sqrt(2)).
24*sqrt(2)/5
Simplify -1*(5*((2 + sqrt(612))*-3 + -5*-2*sqrt(612))*1 + -4)**2.
-750856 + 14280*sqrt(17)
Simplify ((sqrt(119) + -3*sqrt(119) + sqrt(119) - sqrt(119))*-4 + -4*-3*sqrt(119))/(-6*sqrt(252)*3).
-5*sqrt(17)/27
Simplify (0 + (sqrt(36)/(sqrt(6) + sqrt(486)*-2))/(1*sqrt(5000))*5)**2.
3/28900
Simplify ((1 + ((sqrt(18) - (sqrt(108)/(sqrt(6) + sqrt(12)/sqrt(2)) + sqrt(18))) + 2*sqrt(648))/((6*(-2*sqrt(90) + sqrt(90)) + sqrt(90))/sqrt(10)))*2)**2.
-92*sqrt(2)/5 + 1158/25
Simplify 1*((2*sqrt(175) + sqrt(175))**2 + sqrt(175) + -3) + (0 + sqrt(49)/(2*sqrt(567) - sqrt(567)))**2.
5*sqrt(7) + 127339/81
Simplify ((sqrt(136) + (sqrt(136) - sqrt(136)*1) - ((-2*sqrt(136))/sqrt(4) + sqrt(34)))*1)/(-3*(sqrt(200)/sqrt(4) + -4*(sqrt(6)/sqrt(3) + sqrt(2) + sqrt(2)))).
sqrt(17)/7
Simplify 1*(0 + sqrt(2299))**2*-1 + (sqrt(1216)*-1 - (-1 + sqrt(19) + 5))**2.
-744 + 72*sqrt(19)
Simplify ((-2*sqrt(198) - sqrt(198))*-6 + 2*sqrt(198)*2)/(((1*sqrt(198))/sqrt(9))/(-1*sqrt(704))).
-528*sqrt(11)
Simplify ((sqrt(63) - sqrt(7623)*-2 - (3*sqrt(9072) + sqrt(9072) - sqrt(63)))/(-4*3*sqrt(900)*6))**2.
7/900
Simplify sqrt(468) - (1*-1*sqrt(468) + sqrt(468)) - ((sqrt(468) + -1)**2 + 3 - sqrt(468)) - (sqrt(39)/sqrt(3) + 0 + 3 + sqrt(637) + sqrt(637)).
-475 + 9*sqrt(13)
Simplify -2 + (sqrt(66)*2*4 - 1*sqrt(66)*-1)/((sqrt(384) + 1*(sqrt(384) + sqrt(384)*2))*5).
-2 + 9*sqrt(11)/160
Simplify 4 + 1*-3*(sqrt(468) + -1)**2 + 4 + (((sqrt(13) + -1)*3)**2 - sqrt(13) - (sqrt(117)*4)/sqrt(9)).
-1273 + 13*sqrt(13)
Simplify 3 + ((-2 + sqrt(162) + 0 + 0)*-1 + 0)**2 + 4.
-36*sqrt(2) + 173
Simplify -3 + 6*3*4*sqrt(272)*3*-5*-2.
-3 + 8640*sqrt(17)
Simplify ((-3 + ((sqrt(1008) - ((sqrt(1008) - (1 + sqrt(1008))*1) + sqrt(1008))) + sqrt(1008) - sqrt(1008))*4*-1)*-2 + 5 + 1)**2.
400
Simplify sqrt(200) + (sqrt(200) - (-2 + sqrt(200)))*1 + sqrt(200) + ((sqrt(200)*-2 - sqrt(200)) + 3)**2 + 1*(3 + sqrt(200)) + -3*sqrt(200) + -3.
-180*sqrt(2) + 1811
Simplify (2*((5 | {
"pile_set_name": "DM Mathematics"
} |
f 21721 to the nearest integer?
147
What is the eighth root of 3539 to the nearest integer?
3
What is 55435 to the power of 1/2, to the nearest integer?
235
What is the square root of 13018 to the nearest integer?
114
What is the fifth root of 82030 to the nearest integer?
10
What is 5682 to the power of 1/10, to the nearest integer?
2
What is the third root of 6874 to the nearest integer?
19
What is 521 to the power of 1/4, to the nearest integer?
5
What is the fifth root of 12499 to the nearest integer?
7
What is the tenth root of 1483 to the nearest integer?
2
What is 4326 to the power of 1/3, to the nearest integer?
16
What is the fourth root of 1065 to the nearest integer?
6
What is 271 to the power of 1/9, to the nearest integer?
2
What is the seventh root of 1294 to the nearest integer?
3
What is the cube root of 2152 to the nearest integer?
13
What is the square root of 4615 to the nearest integer?
68
What is 1791 to the power of 1/2, to the nearest integer?
42
What is the cube root of 38518 to the nearest integer?
34
What is 1297 to the power of 1/2, to the nearest integer?
36
What is 21785 to the power of 1/3, to the nearest integer?
28
What is the cube root of 1628 to the nearest integer?
12
What is 16696 to the power of 1/5, to the nearest integer?
7
What is the tenth root of 97659 to the nearest integer?
3
What is 7213 to the power of 1/2, to the nearest integer?
85
What is 3980 to the power of 1/2, to the nearest integer?
63
What is 26381 to the power of 1/6, to the nearest integer?
5
What is 473 to the power of 1/3, to the nearest integer?
8
What is 6254 to the power of 1/8, to the nearest integer?
3
What is the third root of 61564 to the nearest integer?
39
What is 2798 to the power of 1/10, to the nearest integer?
2
What is the square root of 646 to the nearest integer?
25
What is the square root of 38141 to the nearest integer?
195
What is 15151 to the power of 1/2, to the nearest integer?
123
What is the square root of 4041 to the nearest integer?
64
What is 480 to the power of 1/8, to the nearest integer?
2
What is 93261 to the power of 1/5, to the nearest integer?
10
What is 302 to the power of 1/2, to the nearest integer?
17
What is the square root of 16987 to the nearest integer?
130
What is the cube root of 24573 to the nearest integer?
29
What is the square root of 34179 to the nearest integer?
185
What is the cube root of 1376 to the nearest integer?
11
What is 121242 to the power of 1/3, to the nearest integer?
49
What is the cube root of 8599 to the nearest integer?
20
What is the cube root of 18399 to the nearest integer?
26
What is the eighth root of 678 to the nearest integer?
2
What is the tenth root of 6207 to the nearest integer?
2
What is the tenth root of 2871 to the nearest integer?
2
What is 1481 to the power of 1/2, to the nearest integer?
38
What is the seventh root of 31477 to the nearest integer?
4
What is 8656 to the power of 1/8, to the nearest integer?
3
What is the eighth root of 2727 to the nearest integer?
3
What is the seventh root of 196929 to the nearest integer?
6
What is 50140 to the power of 1/6, to the nearest integer?
6
What is the seventh root of 471 to the nearest integer?
2
What is 46524 to the power of 1/3, to the nearest integer?
36
What is the cube root of 17603 to the nearest integer?
26
What is the cube root of 632 to the nearest integer?
9
What is 6775 to the power of 1/3, to the nearest integer?
19
What is the cube root of 9981 to the nearest integer?
22
What is the eighth root of 8400 to the nearest integer?
3
What is the cube root of 33798 to the nearest integer?
32
What is the tenth root of 6465 to the nearest integer?
2
What is 584 to the power of 1/3, to the nearest integer?
8
What is the square root of 18761 to the nearest integer?
137
What is the fourth root of 549 to the nearest integer?
5
What is 16137 to the power of 1/2, to the nearest integer?
127
What is 21828 to the power of 1/3, to the nearest integer?
28
What is 4207 to the power of 1/2, to the nearest integer?
65
What is 10332 to the power of 1/5, to the nearest integer?
6
What is 2140 to the power of 1/3, to the nearest integer?
13
What is the tenth root of 13059 to the nearest integer?
3
What is the cube root of 773 to the nearest integer?
9
What is the cube root of 3653 to the nearest integer?
15
What is 5918 to the power of 1/8, to the nearest integer?
3
What is 5213 to the power of 1/2, to the nearest integer?
72
What is the sixth root of 1094 to the nearest integer?
3
What is the cube root of 92772 to the nearest integer?
45
What is 16151 to the power of 1/8, to the nearest integer?
3
What is 973 to the power of 1/2, to the nearest integer?
31
What is the sixth root of 68945 to the nearest integer?
6
What is the fifth root of 5935 to the nearest integer?
6
What is 74 to the power of 1/3, to the nearest integer?
4
What is 2476 to the power of 1/10, to the nearest integer?
2
What is the third root of 2458 to the nearest integer?
13
What is the square root of 136740 to the nearest integer?
370
What is 21189 to the power of 1/5, to the nearest integer?
7
What is the cube root of 7689 to the nearest integer?
20
What is 2757 to the power of 1/2, to the nearest integer?
53
What is 4073 to the power of 1/7, to the nearest integer?
3
What is the square root of 1045 to the nearest integer?
32
What is the fifth root of 3023 to the nearest integer?
5
What is the cube root of 1798 to the nearest integer?
12
What is 5085 to the power of 1/7, to the nearest integer?
3
What is the square root of 774 to the nearest integer?
28
What is 973 to the power of 1/3, to the nearest integer?
10
What is 491 to the power of 1/2, to the nearest integer?
22
What is the square root of 2981 to the nearest integer?
55
What is 55649 to the power of 1/7, to the nearest integer?
5
What is 6263 to the power of 1/2, to the nearest integer?
79
What is 3035 to the power of 1/2, to the nearest integer?
55
What is the square root of 16286 to the nearest integer?
128
What is 31735 to the power of 1/2, to the nearest integer?
178
What is the square root of 3878 to the nearest integer?
62
What is the third root of 78 to the nearest integer?
4
What is the third root of 20323 to the nearest integer?
27
What is 1051 to the power of 1/2, to the nearest integer?
32
What is the eighth root of 6402 to the nearest integer?
3
What is 4925 to the power of 1/2, to the nearest integer?
70
What is the ninth root of 4212 to the nearest integer?
3
What is the square root of 83547 to the nearest integer?
289
What is 18401 to the power of 1/3, to the nearest integer?
26
What is the square root of 1457 to the nearest integer?
38
What is the third root of 5227 to the nearest integer?
17
What is the square root of 104 to the nearest integer?
10
What is 18116 to the power of 1/6, to the nearest integer?
5
What is the fourth root of 89808 to the nearest integer?
17
What is 156823 to the power of 1/2, to the nearest integer?
396
What is 51823 to the power of 1/3, to the nearest integer?
37
What is the cube root of 5318 to the nearest integer?
17
What is the cube root of 26555 to the nearest integer?
30
What is the third root of 5636 to the nearest integer?
18
What is 566 to the power of 1/3, to the nearest integer?
8
What is the square root of 29754 to the nearest integer?
172
What is 4619 to the power of 1/3, to the nearest integer?
17
What is the cube root of 10885 to the nearest integer?
22
What is 28097 to the power of 1/8, to the nearest integer?
4
What is 26340 to the power of 1/2, to the nearest integer?
162
What is the cube root of 1484 to the nearest integer?
11
What is 1037 to the power of 1/6, to the nearest integer?
3
What is 24324 to the power of 1/5, to the nearest integer?
8
What is the square root of 2627 to the nearest integer?
51
What is the tenth root of 13042 to the nearest integer?
3
What is the square root of 48256 to the nearest integer?
220
What is 15014 to the power of 1/10, to the nearest integer?
3
What is the third root of 418 to the nearest integer?
7
What is the square root of 497 to the nearest integer?
22
What is the square root of 65077 to the nearest integer?
255
What is the square root of 49775 to the nearest integer?
223
What is the | {
"pile_set_name": "DM Mathematics"
} |
greatest common factor of 2022 and 1206.
6
Calculate the greatest common divisor of 8 and 186840.
8
Calculate the greatest common factor of 76 and 1345238.
38
Calculate the greatest common factor of 194920 and 176.
88
What is the greatest common factor of 4147 and 12452?
11
Calculate the highest common divisor of 131536 and 60.
4
Calculate the greatest common divisor of 1105 and 3445.
65
What is the highest common divisor of 22205 and 40?
5
Calculate the highest common divisor of 5470 and 160.
10
Calculate the highest common factor of 27228 and 24.
12
What is the greatest common divisor of 8 and 20128?
8
Calculate the greatest common factor of 7 and 300503.
7
What is the greatest common divisor of 6952 and 649?
11
Calculate the highest common factor of 434809 and 17.
17
What is the greatest common factor of 272 and 57732?
68
What is the greatest common factor of 3167 and 48?
1
Calculate the greatest common factor of 38052 and 5103.
63
Calculate the highest common divisor of 30 and 136905.
15
What is the greatest common divisor of 16282 and 56?
14
What is the greatest common factor of 4121642 and 14?
14
Calculate the greatest common divisor of 1213485 and 1274.
637
What is the highest common divisor of 13 and 70837?
13
Calculate the highest common divisor of 245 and 203.
7
Calculate the greatest common factor of 7840 and 736.
32
Calculate the highest common divisor of 65966 and 2.
2
What is the greatest common divisor of 29 and 5158?
1
What is the highest common divisor of 1015 and 11020?
145
Calculate the greatest common divisor of 294 and 77665.
49
Calculate the highest common divisor of 56360 and 480.
40
Calculate the highest common divisor of 17 and 47209.
17
Calculate the highest common factor of 689 and 449599.
53
What is the greatest common divisor of 255 and 52581?
51
Calculate the highest common divisor of 122659 and 23.
23
What is the highest common factor of 519 and 455336?
173
What is the greatest common factor of 102 and 84099?
51
Calculate the highest common factor of 101755 and 2115.
235
What is the greatest common factor of 14336 and 28?
28
Calculate the highest common divisor of 21 and 4398.
3
Calculate the greatest common factor of 144510 and 90.
30
Calculate the highest common divisor of 1716 and 18304.
572
What is the greatest common factor of 443 and 172327?
443
What is the highest common factor of 266 and 1442?
14
Calculate the highest common divisor of 16610 and 187770.
110
What is the greatest common divisor of 26 and 4717271?
13
Calculate the highest common divisor of 74575 and 1425.
475
Calculate the greatest common factor of 699940 and 31600.
1580
Calculate the greatest common divisor of 31827 and 1545.
309
Calculate the highest common divisor of 430708 and 2212.
316
Calculate the greatest common factor of 215775 and 945.
315
What is the highest common factor of 4202 and 7722?
22
Calculate the greatest common divisor of 258359 and 46.
23
Calculate the highest common factor of 691560 and 10.
10
Calculate the highest common divisor of 2520 and 61110.
630
Calculate the greatest common factor of 16533 and 3762.
99
What is the highest common divisor of 39 and 994656?
39
Calculate the greatest common factor of 1617 and 11361.
21
Calculate the highest common divisor of 23660 and 8855.
35
What is the highest common divisor of 1169430 and 510?
510
Calculate the highest common divisor of 164 and 13780.
4
What is the greatest common divisor of 287 and 29725?
41
Calculate the highest common divisor of 456750 and 30.
30
Calculate the highest common factor of 9751 and 597.
199
What is the highest common factor of 145 and 333007?
29
What is the highest common factor of 72 and 73716?
12
What is the greatest common divisor of 77 and 12386?
11
Calculate the highest common factor of 979 and 15015.
11
What is the greatest common divisor of 7128 and 2816?
88
What is the highest common divisor of 75300 and 4150?
50
Calculate the greatest common factor of 1535512 and 308.
44
What is the highest common factor of 16293 and 6?
3
Calculate the highest common divisor of 1938372 and 12.
12
Calculate the greatest common divisor of 3640 and 32305.
455
What is the highest common factor of 4203 and 2403?
9
Calculate the highest common divisor of 3162 and 307458.
186
Calculate the highest common divisor of 763 and 102403.
7
What is the greatest common factor of 24250 and 1600?
50
What is the highest common factor of 3368 and 29049?
421
What is the greatest common divisor of 26 and 33189?
13
Calculate the highest common divisor of 363697 and 367.
367
What is the highest common factor of 7465 and 1021212?
1493
Calculate the highest common factor of 96681 and 34840.
871
Calculate the highest common divisor of 1040 and 137520.
80
What is the greatest common factor of 824 and 1432?
8
What is the greatest common divisor of 66937 and 169?
13
Calculate the highest common divisor of 663 and 507.
39
What is the greatest common factor of 430017 and 336?
21
What is the highest common divisor of 7531 and 731?
17
Calculate the greatest common divisor of 2008884 and 12.
12
What is the highest common divisor of 25225 and 15?
5
Calculate the greatest common factor of 48 and 372477.
3
Calculate the greatest common factor of 23075 and 2925.
325
Calculate the highest common divisor of 968 and 39204.
484
Calculate the greatest common divisor of 445 and 498489.
89
What is the greatest common divisor of 250762 and 114?
38
What is the highest common factor of 360 and 560115?
45
What is the highest common factor of 21896 and 884?
68
What is the greatest common divisor of 142 and 3185486?
142
Calculate the highest common divisor of 2432 and 13832.
152
Calculate the greatest common factor of 118679 and 176.
11
Calculate the greatest common divisor of 137268 and 444.
12
Calculate the greatest common divisor of 489 and 148493.
163
What is the highest common factor of 842 and 115775?
421
What is the highest common factor of 78 and 13829166?
78
Calculate the highest common factor of 3791 and 16099.
17
Calculate the highest common divisor of 88 and 19349.
11
Calculate the highest common divisor of 500050 and 175.
25
What is the highest common factor of 136 and 41140?
68
Calculate the greatest common divisor of 309 and 4637884.
103
What is the highest common divisor of 236684 and 1264?
316
What is the highest common factor of 768 and 2616?
24
What is the highest common divisor of 1600 and 1175?
25
What is the highest common factor of 2956840 and 1160?
1160
What is the highest common factor of 203391 and 713?
31
Calculate the greatest common factor of 45390 and 319065.
1335
Calculate the greatest common factor of 223836 and 8.
4
Calculate the highest common factor of 45969 and 1194.
597
What is the greatest common factor of 1617841 and 79?
79
Calculate the greatest common factor of 4257 and 19107.
99
Calculate the highest common factor of 354 and 77054.
118
Calculate the highest common divisor of 149 and 1027951.
149
What is the highest common divisor of 52 and 268593?
13
What is the highest common divisor of 19 and 135641?
19
Calculate the highest common factor of 4690 and 51030.
70
What is the highest common factor of 60 and 282?
6
Calculate the highest common divisor of 184219 and 469.
7
Calculate the greatest common divisor of 1822824 and 1296.
648
What is the highest common divisor of 3402 and 1400?
14
Calculate the highest common factor of 52 and 4315558.
26
What is the greatest common divisor of 759616 and 352?
352
Calculate the greatest common divisor of 8520 and 2295.
15
What is the highest common factor of 43172 and 1204?
172
Calculate the greatest common factor of 639395 and 6355.
205
What is the highest common divisor of 16438 and 12?
2
What is the greatest common factor of 16685 and 10810?
235
What is the highest common factor of 985 and 4925?
985
Calculate the highest common factor of 17 and 51663.
17
What is the highest common factor of 1342 and 7442?
122
Calculate the highest common divisor of 86 and 163099.
43
Calculate the highest common divisor of 579 and 14861.
193
What is the highest common divisor of 295976 and 16?
8
Calculate the highest common divisor of 4384 and 3014.
274
Calculate the greatest common factor of 556436 and 16.
4
What is the highest common | {
"pile_set_name": "DM Mathematics"
} |
p a composite number?
False
Let j(h) = 2*h**2 + 5*h - 5. Let n be j(-4). Let d = 26 - n. Is d composite?
False
Let o(k) = 77*k + 7. Suppose -4*d - d + 36 = 2*y, -4 = 2*y - 5*d. Is o(y) prime?
False
Let t = 58 - 48. Is (-1245)/t*-2 + 2 a composite number?
False
Suppose 3*t + 7*o = 8*o + 11068, 5*t - 18445 = 2*o. Is t a prime number?
True
Suppose -3*v - 2*t + 3*t + 6 = 0, 4*v + t = 8. Is (-6)/(-18) - v/(-3)*244 a composite number?
False
Let t = -6 + 10. Suppose -5*n = q, -5*n = -4*q - 0*n + 25. Suppose 2*c - q*s + 2132 = 5*c, 0 = -t*s - 20. Is c composite?
False
Let h = -76 - -79. Suppose -h*x = -0*s - 3*s - 5550, -2*x - 4*s = -3682. Is x a composite number?
False
Suppose 2*a + 280 = -2*a. Let v = -42 - a. Suppose i = v + 55. Is i a composite number?
False
Let k(j) be the first derivative of j**4/4 - 8*j**3/3 + 3*j**2/2 - 7*j + 5. Is k(13) a composite number?
False
Is 2 + -10 + 5 - -204 a composite number?
True
Suppose -8*g - 13 = 11. Is (g/(-2))/((-10)/(-1660)) a composite number?
True
Suppose 5*h - 3*l - 55 = 0, -5*h + 4*l = 3*l - 45. Let o(i) be the third derivative of i**5/20 - i**4/6 - i**3/2 - i**2. Is o(h) a prime number?
True
Let h = 445806 - 284309. Is h prime?
False
Let u be 1*(-3 + 5)*3001. Suppose -5*w + k + u = 0, -2*k + 650 = w - 557. Is w composite?
False
Is (-4)/(-26) - (-13456377)/429 a prime number?
False
Suppose x - 5*x - 3*d = 26, 5*x - 4*d = -17. Is (-2 - (-447)/(-15))*x composite?
True
Let o(i) = -i**3 - i**2 - 33*i + 10. Is o(-9) composite?
True
Suppose -d = 3*a - 7, 4*d - 8 = -3*a + a. Suppose 20 = i - 3*g - a*g, i = 4*g + 16. Suppose i = -q - 3*q + 892. Is q a composite number?
False
Let g(m) = 2*m**3 - 7*m**2 + 35*m - 94. Let t be g(5). Let o = -134 - -505. Let c = o - t. Is c a composite number?
True
Let n(p) = 2 + 28*p**2 + 9*p**2 + 5 - p - 4*p. Is n(2) a composite number?
True
Let w(k) = k**3 - 25*k**2 + 17*k + 15. Is w(32) a prime number?
True
Suppose -5*r - 3 = -2*j, j + 2*j + 2*r - 14 = 0. Suppose 5*n + j*c = -16, -3*n - 2 - 2 = c. Suppose -w + 2*w - 233 = n. Is w a prime number?
True
Suppose -4*s = 2*f + s - 8118, 3*f - 2*s - 12177 = 0. Suppose -8514 = -9*u + f. Is u a composite number?
True
Let f(m) = 263*m - 19. Let g be f(8). Suppose -8*a + g = -13411. Is a a composite number?
True
Let z = -2 + 3. Let g be 209/77 - 5/(35/(-2)). Is (296 + g)/(0 + z) composite?
True
Let k(a) be the first derivative of 2*a**3 + 39*a**2/2 + 14*a - 8. Is k(-21) prime?
False
Suppose 9*c = 66*c - 692493. Is c composite?
False
Suppose -9*u - 5*i + 559474 + 206132 = 0, 0 = -5*u + 2*i + 425351. Is u a prime number?
False
Let g be 2/15 - (-336133)/465. Let r = g + -512. Is r composite?
False
Let v = 14015 + -5202. Is v a prime number?
False
Let w = 1333 - 296. Is w a composite number?
True
Let a = -581 + 1812. Is a a composite number?
False
Let k(j) = -125*j + 22. Let f(z) = 249*z - 42. Let y(q) = 2*f(q) + 5*k(q). Is y(-15) prime?
True
Let r(d) = d**3 + 5*d**2 + 3*d. Let n be r(-4). Is 12/8 + 2246/n composite?
False
Let l = 9 - 6. Let g be (-572)/(-91) - 2/7*1. Suppose l*v - v - g = 0. Is v prime?
True
Suppose 0 = 7*r - 8*r + 198. Let p = 13 + r. Is p a composite number?
False
Let l(t) = -t - 6. Let x be l(-7). Let q be 6/4*(1 + x). Suppose 5*i + 532 = 4*a, -2*a - q*a + 665 = -i. Is a a composite number?
True
Is 2 - 6/((-4 - -2)/1104) composite?
True
Let m(s) = 24*s**3 + 2*s**2 - 5*s - 62. Is m(9) prime?
True
Let m(p) = p**2 - 3*p + 1. Let w be m(3). Let z be 0/4 - (-2 - w). Suppose -2*t - z*t = -915. Is t a prime number?
False
Let g(p) = 2*p**2 + 74. Let f be g(0). Let k = 24 - -8. Let x = k + f. Is x composite?
True
Let y be 1*(32/24)/(1/3). Suppose -5*u + r + 5614 = 1412, -2*u = y*r - 1694. Is u composite?
True
Suppose 3*t = t + 322. Suppose t = 3*s + v + 3*v, 5*s + v - 291 = 0. Is s a prime number?
True
Let m(p) = -p**3 + 41*p**2 + 127*p - 61. Is m(33) a prime number?
False
Is (-2)/(-7) - (-10 - 8267/49) a prime number?
True
Let r = 18 + -11. Suppose -2*g + r = -11. Suppose h + 5*u + g = 72, -5*u = -5*h + 435. Is h prime?
True
Let g = -16 - -24. Suppose -g*l + 2500 = -3*l. Suppose -5*v + u - 3*u = -2487, 0 = -v - 3*u + l. Is v a prime number?
False
Suppose 0 = w - 2*i + 2, w = -i - 1 + 2. Suppose -2*f + 4*r = -w*f - 5206, -2*f - 4*r + 5230 = 0. Is f a prime number?
True
Let j = 6317 - 4368. Is j a prime number?
True
Suppose -3*m = 9 + 3, -3*v - 70 = 4*m. Let i = v - -14. Is 3 - (468 + i)/(-4) prime?
False
Suppose -12*d - 4 + 52 = 0. Suppose -k = 0, -d*z + 3845 = -4*k - 2703. Is z a composite number?
False
Is 4/(-7 - -3) - -2 - -10800 a prime number?
False
Let j be (0 + 6)/(3/298). Suppose 2138 = 6*l + j. Is l prime?
True
Suppose -2*c = c - 2*r - 5500, -2*c + 3664 = -2*r. Suppose 2*b + 0*b = u + c, u - 1840 = -2*b. Is b composite?
False
Let v be 46202/12 - 4/24. Let a = -257 + v. Is a prime?
True
Let u be (-4 + -152)/((-3)/2). Suppose 0 = 2*b - u - 6. Is b composite?
True
Let g = 204 + -119. Is g a prime number?
False
Let d(n) = -2478*n - n**2 + 3 + 2*n**2 + 2481*n. Is d(8) composite?
True
Suppose -4*n - 19104 = -4*d, 6*d = 2*d - 3*n + 19111. Is d prime?
False
Let x be (6088/(-2))/(-4) - -2. Let b be (-2)/(-8)*(1 + x). Suppose m - 4*r = 50, 4*r + b = 5*m + 5. Is m prime?
False
Let a = 37144 + -18495. Is a a prime number?
False
Suppose 4*w + 4*o + 1422 = 2*w, 0 = -3*w + 5*o - 2166. Let k = 1638 + w. Suppose g + 2*g = k. Is g a composite number?
False
Let a = 37 + -26. Suppose 0 = -a*p + 6*p - 4*q + 2325, 3*q - 1392 = -3*p. Is p a composite number?
True
Suppose -3 + 21 = 6*u. Suppose -f - u*f = 0. Is (f + 3)/((-6)/(-246)) composite?
True
Let l(k) = k**3 - 8*k**2 - 12*k - 18. Let w(j) = -j**3 + 5*j**2 + 7*j + 7. Let t be w(6). Is l(t) prime?
False
Suppose h = -3*q - 4, 3*q - q + 4*h = -16. Suppose q*d - 1722 = -6*d. Is d prime?
False
Let h(y) = -98*y - 6. Let q be h(1). Suppose 5*p - 255 = 180. Let j = p - q. Is j prime?
True
Let b(i) = -248*i**3 + 3*i**2 - i - 2. Let t be b(-2). Suppose 3*v = -v + t. Is v prime?
True
Let d(o) = -3*o - 6. Let c = -10 + 8. Let r be (-39)/c*12/(-18). Is d(r) a prime number?
False
Let z(i) = 5*i**2 + i - 3. Let u be z(1). Suppose 0 = 5*s + 3*k - 2115 - 3115, u*s - 3122 = -5*k. Is s composite?
False
Suppose 46264 = 9*n - 99689. Is n prime?
True
Let n(s) = -4 - 15 + 266*s - 149*s. Is n(10) prime?
True
Suppose 0 = 4*z - 7 - 5. Suppose 0 = 4*k - 8, -z*q - 5*k = -q - 302. Is q a composite number?
True
Let i be 4/(-2) - -4 - -321. Let n = i + -146. Is n prime?
False
Suppose 4*m = -4*a + 7*m + 15197, 5*m = 2*a - 7581. Is a a prime number?
True
Let l = 85 - 87. Is 1/(2/(-1901))*4/l prime?
True
Suppose -4*c - 2 - 314 = 0. Let v = -30 - c. Let z = 106 - v. Is z prime?
False
Let c(k) = 59*k**2 + 31*k - 144. Is c(14) prime?
False
Let z(y) = -y**3 + 3*y**2 - y + 6. Suppose 6*k - 9*k = -12. Let o be z(k). Let h(r) = -10*r - 13. Is h(o) prime?
True
Let h = -6959 - -17842. Is h a prime number?
True
Suppose -d - 4*d - 195 = 5*g, 3*d - 3 = 0. Is -305*(-8)/(g/(-3)) a prime number?
False
Let w(s) = 4*s**3 + 16*s**2 - 14*s - 8. Let x(f) = -f**3 - f**2 + f. Let b(o) = -w(o) - 3*x(o). Is b(-15) prime?
True
Let c(r) = 0*r - 213*r**3 - 7 + 10*r**2 - 5*r + 214*r**3. Is c(-10) a composite number?
False
Suppose -2*z + 1826 = -1030. Suppose 15*s - z = 12*s. Suppose 5*a - s = a. Is a composite?
True
Suppose 14*p = 15*p - 445. Is p a prime number?
False
Suppose -x = 2*x. Suppose 0 = -5*r - 9*n + 4*n, x = -2*r + 3*n. Suppose -m - 2*m + 69 = r. Is m a prime number?
True
Let r = 30807 - 17164. Is r a prime number?
False
Suppose -49 = -5*b + 46. Let o = 35 - b. Suppose o*y - 575 = 11*y. Is y a prime number?
False
Let m(t) = -t**2 - t + 1687. Let i be m(0). Suppose -3*k = -0*k + 2*o - 1244, -i = -4*k + 3*o. Is 2 + (-1 - k/(-1)) prime?
True
Suppose -3*m - 3 = -2*m. Let x be (-7 - 3) + m/(-1). Let j(k) = -k**2 - 14*k - 3. Is j(x) a composite number?
True
Is 13/((-78)/(-84741)) + 2/(-4) prime?
False
Let k = -36 - -59. Suppose 2*v = -z - 1, 0 = -v - 0*z - 5*z - k. Suppose 106 - 423 = -v*x - 5*n, -x = -4*n - 178. Is x composite?
True
Suppose 0 = 118*w - 114*w - 33412. Is w composite?
False
Let w(a) = a**3 - 6*a**2 + 4*a + 4. Let c be w(5). Is (-10)/c*123/6 a prime number?
False
Is (-3 - -1) + (-47400)/((-8)/1) prime?
True
Let m = -899 + 632. | {
"pile_set_name": "DM Mathematics"
} |
512/3.
2*(z + 4)**2*(z + 16)/3
Suppose 7*f**5/5 - 1179*f**4 - 5066*f**3/5 + 6738*f**2/5 + 5059*f/5 - 843/5 = 0. What is f?
-1, 1/7, 1, 843
Factor -9*u**2 - 87432*u + 29145.
-3*(u + 9715)*(3*u - 1)
Factor -3*m**2 - 24141*m - 72396.
-3*(m + 3)*(m + 8044)
Suppose 3*c**2/7 - 2349*c/7 - 4710/7 = 0. Calculate c.
-2, 785
Solve -22*a**4/5 - 512*a**3 + 14978*a**2/5 - 18372*a/5 - 8784/5 = 0.
-122, -4/11, 3
Factor c**3 - 53*c**2 - 296*c + 348.
(c - 58)*(c - 1)*(c + 6)
Factor -f**3/8 - 1367*f**2/8 - 2731*f/8 - 1365/8.
-(f + 1)**2*(f + 1365)/8
Solve 2*y**5 - 1956*y**4 - 48148*y**3 + 48024*y**2 + 4102610*y - 14478900 = 0 for y.
-17, 5, 1002
Factor 3*o**3 + 1080*o**2.
3*o**2*(o + 360)
Factor -2*v**2 - 48874*v + 97756.
-2*(v - 2)*(v + 24439)
Suppose -n**5/10 - 10*n**4 - 3267*n**3/10 - 17278*n**2/5 + 1634*n/5 + 17328/5 = 0. Calculate n.
-38, -24, -1, 1
Determine j, given that -12*j**4 + 190*j**3 + 23408*j**2 - 43528*j - 7904 = 0.
-38, -1/6, 2, 52
Factor p**3/4 + 287695*p**2/4.
p**2*(p + 287695)/4
Find c, given that -2*c**5 - 1342*c**4 - 5338*c**3 - 1322*c**2 + 8004*c = 0.
-667, -3, -2, 0, 1
Find t, given that -4*t**4/5 - 12*t**3 + 3112*t**2/5 + 3168*t/5 = 0.
-36, -1, 0, 22
Factor 5*m**2 - 1475*m - 38280.
5*(m - 319)*(m + 24)
Suppose -4*x**2 - 179760*x - 2019603600 = 0. Calculate x.
-22470
Solve -4*m**4/7 - 112*m**3 - 11692*m**2/7 - 30720*m/7 + 43200/7 = 0.
-180, -12, -5, 1
Factor -f**4/4 - 15*f**3 - 541*f**2/4 + 5565*f/2 - 4900.
-(f - 8)*(f - 2)*(f + 35)**2/4
Factor -2*q**3/5 - 22*q**2 + 546*q/5 + 69966/5.
-2*(q - 23)*(q + 39)**2/5
Suppose 2*s**4 - 156*s**3 + 2752*s**2 + 6144*s = 0. Calculate s.
-2, 0, 32, 48
Factor -y**3/2 - 77671*y**2 - 310678*y - 310676.
-(y + 2)**2*(y + 155338)/2
Factor -d**3/9 + 7*d**2/3 - 28*d/3 + 64/9.
-(d - 16)*(d - 4)*(d - 1)/9
Let -15*x**5 - 1044*x**4 + 655992*x**3/5 + 24530016*x**2/5 - 1911365424*x/5 + 7212411072/5 = 0. What is x?
-454/5, 4, 54
Determine s, given that 4*s**4 + 56*s**3 - 2940*s**2 - 49392*s = 0.
-21, 0, 28
Solve -2*x**4 + 187*x**3/2 - 301*x**2/2 - 627*x/2 - 135/2 = 0 for x.
-1, -1/4, 3, 45
What is j in 2*j**4/13 + 118*j**3/13 + 1254*j**2/13 - 15246*j/13 = 0?
-33, 0, 7
Factor f**3 - 10331*f**2 - 352121*f - 2995485.
(f - 10365)*(f + 17)**2
Factor -5*l**4/3 - 89*l**3 - 204*l**2.
-l**2*(l + 51)*(5*l + 12)/3
Solve 18*u**3/13 - 346*u**2/13 - 400*u/13 + 56 = 0 for u.
-2, 1, 182/9
Determine q, given that q**3/3 - 176*q**2/3 + 452*q - 672 = 0.
2, 6, 168
Suppose p**3/3 - 215*p**2/3 + 847*p/3 - 211 = 0. What is p?
1, 3, 211
Factor -u**3/4 - 3598*u**2 - 51594813*u/4 + 675605853/2.
-(u - 26)*(u + 7209)**2/4
Let 198*q**5 + 1000*q**4 + 1622*q**3 + 812*q**2 - 56*q - 48 = 0. Calculate q.
-2, -1, -3/11, 2/9
What is r in -2*r**3/17 + 2088*r**2/17 - 8328*r/17 + 8320/17 = 0?
2, 1040
Factor 169*b**3 + 447772*b**2 - 206691*b + 23850.
(b + 2650)*(13*b - 3)**2
Solve -3*n**5 + 39*n**4 - 81*n**3 - 447*n**2 + 672*n + 1764 = 0.
-2, 3, 7
Suppose 34493*j**5/3 - 34492*j**4/3 - 68987*j**3/3 - 2*j**2/3 = 0. What is j?
-1, -1/34493, 0, 2
What is j in -5*j**4 + 5395*j**3 + 32510*j**2 + 43400*j = 0?
-4, -2, 0, 1085
Suppose -2*r**4/3 - 72500*r**3/3 - 656378426*r**2/3 + 3944145000*r - 17757465624 = 0. Calculate r.
-18134, 9
Let -3*x**5/2 + 7236*x**4 - 8572476*x**3 - 373898709*x**2 + 2363189931*x/2 - 799131015 = 0. What is x?
-45, 1, 2, 2433
Find p, given that 5*p**3 + 1940*p**2 = 0.
-388, 0
Factor -4*c**3 + 6760*c**2 + 27124*c - 33880.
-4*(c - 1694)*(c - 1)*(c + 5)
Suppose -p**5/3 - 88*p**4 - 766*p**3/3 + 1492*p**2 + 10199*p/3 + 1740 = 0. Calculate p.
-261, -5, -1, 4
Factor -3*p**2 + 20406*p - 629703.
-3*(p - 6771)*(p - 31)
Factor -3*z**3 - 6759*z**2 - 20256*z - 13500.
-3*(z + 1)*(z + 2)*(z + 2250)
Solve 5*q**2 - 2564950*q - 2564955 = 0.
-1, 512991
Factor 2*c**2 + 1020*c - 38150.
2*(c - 35)*(c + 545)
Solve -2*n**4/11 - 564*n**3/11 - 40874*n**2/11 - 156792*n/11 - 154568/11 = 0.
-139, -2
Let 2*u**2/13 - 772*u/13 + 4560/13 = 0. Calculate u.
6, 380
Factor 2*o**2 + 25780*o.
2*o*(o + 12890)
Determine r so that -3*r**5/7 + 108*r**4/7 - 1233*r**3/7 + 564*r**2 + 756*r = 0.
-1, 0, 9, 14
Solve -k**4 - 82*k**3 + 85*k**2 + 166*k = 0 for k.
-83, -1, 0, 2
Determine f so that 18*f**5/11 + 204*f**4/11 + 434*f**3/11 - 48*f**2 - 1152*f/11 + 1024/11 = 0.
-8, -8/3, 1
Factor 5*q**4 + 14430*q**3 + 11094305*q**2 + 985655580*q + 23328548180.
5*(q + 49)**2*(q + 1394)**2
Solve 39*f**5/2 - 81*f**4/2 - 267*f**3/2 + 333*f**2/2 + 222*f - 18 = 0 for f.
-2, -1, 1/13, 2, 3
What is w in -2*w**2/7 - 1790*w/7 + 7192/7 = 0?
-899, 4
Solve -5*q**5/7 - 83*q**4/7 - 37*q**3 + 719*q**2/7 + 1728*q/7 - 396 = 0 for q.
-11, -6, -3, 7/5, 2
Determine s, given that -2*s**4/19 - 184*s**3/19 - 1288*s**2/19 + 256*s + 13440/19 = 0.
-84, -10, -2, 4
Find p, given that -4*p**2/7 + 1716*p + 217512/7 = 0.
-18, 3021
Let f**5/2 + 959*f**4/2 - 8683*f**3/2 + 28033*f**2/2 - 18867*f + 8712 = 0. Calculate f.
-968, 1, 2, 3
Let 4*i**3 - 8148*i**2 + 145496*i - 258432 = 0. What is i?
2, 16, 2019
Factor -z**3 - 258*z**2 - 5232*z - 9440.
-(z + 2)*(z + 20)*(z + 236)
Factor 2*f**4 - 132*f**3 - 3774*f**2 - 27880*f - 53400.
2*(f - 89)*(f + 3)*(f + 10)**2
Let -2*s**2 + 35986*s = 0. What is s?
0, 17993
Factor -w**3 - 1541044*w**2 - 593704152484*w.
-w*(w + 770522)**2
Factor -2*i**2/11 + 3330*i/11 + 10008/11.
-2*(i - 1668)*(i + 3)/11
Solve 2*q**2/7 - 22436*q/7 - 89776/7 = 0 for q.
-4, 11222
Suppose 2988*u**5 - 67752*u**4 + 44368*u**3 - 352*u**2 = 0. What is u?
0, 2/249, 2/3, 22
Factor 3*z**3 - 2751*z**2.
3*z**2*(z - 917)
Suppose -3*h**3 - 24969*h**2 - 74886*h - 49920 = 0. Calculate h.
-8320, -2, -1
Let 5*j**4/2 - 275*j**3 + 14515*j**2/2 + 275*j - 7260 = 0. What is j?
-1, 1, 44, 66
Factor 2*h**2/13 - 23316*h/13 + 67954482/13.
2*(h - 5829)**2/13
Factor 2*b**3 - 5652*b**2 + 11298*b - 5648.
2*(b - 2824)*(b - 1)**2
Factor 2*p**3/7 - 1794*p**2/7 - 14480*p/7.
2*p*(p - 905)*(p + 8)/7
What is x in x**5 - 273*x**4 + 12895*x**3 - 243291*x**2 + 2039320*x - 6329100 = 0?
10, 17, 219
What is w in -w**5 + 480*w**4 + 1947*w**3 - 5330*w**2 + 2904*w = 0?
-6, 0, 1, 484
Solve -1839*z**3/4 - 40461*z**2/2 - 38685*z - 126 = 0.
-42, -2, -2/613
Factor 4*x**4 - 5504*x**3 + 1820472*x**2 + 50157952*x + 332187076.
4*(x - 701)**2*(x + 13)**2
Suppose 4*d**4/7 + 148*d**3 + 53484*d**2/7 - 1856124*d/7 - 1908576/7 = 0. What is d?
-141, -1, 24
Suppose -3*c**4 + 29475*c**3 - 29466*c**2 - 58944*c = 0. Calculate c.
-1, 0, 2, 9824
Factor -4*j**3 - 20*j**2 + 2136*j + 21600.
-4*(j - 25)*(j + 12)*(j + 18)
Factor -2*y**2/19 - 40708*y/19 + 40710/19.
-2*(y - 1)*(y + 20355)/19
Let -12*a**3/5 + 1299*a**2 - 33783*a/5 + 1608 = 0. What is a?
1/4, 5, 536
Suppose 2*k**5/11 - 360*k**4/11 + 2316*k**3/11 + 18176*k**2/11 + 27954*k/11 + 12456/11 = 0. Calculate k.
-3, -1, 12, 173
Let 3*k**2 + 2589*k + 322536 = 0. Calculate k.
-712, -151
Find j such that 2*j**5 + 4650*j**4 + 3023124*j**3 + 372520532*j**2 + 13009048074*j + 12639546018 = 0.
-1089, -73, -1
Suppose -4*a**4 - 28*a**3 + 1508*a**2 - 2916*a + 1440 = 0. Calculate a.
-24, 1, 15
Solve 22*k**3/7 - 508*k**2/7 - 480*k/7 = 0 for k.
-10/11, 0, 24
Let -773*y**4 - 17764*y**3/5 + 10118*y**2/5 + 11556*y/5 - 9 = 0. Calculate y.
-5, -3/5, 3/773, 1
Factor -3*h**2 - 5649*h + 236652.
-3*(h - 41)*(h + 1924)
Let -11*o**2/7 - 61*o/7 - 30/7 = 0. Calculate o.
-5, -6/11
Factor -z**2 + 1169*z + 38432.
-(z - 1201)*(z + 32)
What is j in 3*j**5/8 + 84201*j**4/8 + 590522595*j**3/8 - 4136605665*j**2/8 + 4137447861*j/4 - 591112107 = 0?
-14037, 1, 2, 4
Suppose 108*y**5 + 24336*y**4 + 1362747*y**3 - 926829*y**2 - 422055*y - 38307 = 0. What is y?
-113, -1/6, 1
Factor j**4/3 - 40*j**3/3 - 682*j**2 + 123008*j/3 - 1578923/3.
(j - 31)**3*(j + 53)/3
Factor 3*l**2/2 + 28791*l - 518481/2.
3*(l - 9)*(l + 19203)/2
Suppose 3*w**2/5 + 442674*w/5 + 16330022523/5 = 0. Calculate w.
-73779
Let -4*m**4/9 - 16*m**3 - 124*m**2/3 + 824*m/9 + 352/3 = 0. Calculate m.
-33, -4, -1, 2
Let 68*x**3 + 844*x**2 - 2560*x + 1200 = 0. Calculate x.
-15, 10/17, 2
Factor s**3/6 + 630253*s**2/3 + 397218844009*s/6.
s*(s + 630253)**2/6
Find x, given that -2*x**3/11 + 2936*x**2/11 - 40712*x/11 = 0.
0, 14, 1454
Let -m**3 - 1508*m**2 - 6020*m - 6016 = 0. Calculate m.
-1504, -2
Find b, given that b**4 + 533*b**3 + 73378*b**2 + 627228*b + 1235592 = 0.
-262, -6, -3
Suppose d**5/5 - 239*d**4/5 - 15794*d** | {
"pile_set_name": "DM Mathematics"
} |
= s - 3. What is the closest to 1 in 5, h, w?
w
Let v = 13 - 16. Let z be -1*1*(4 + v). What is the closest to 0.2 in z, -5, -2?
z
Let r = 31 - 33. Which is the closest to 1? (a) 0 (b) 2/13 (c) r
b
Let f(w) be the first derivative of -w**4/4 - w - 7. Let o be f(0). Which is the nearest to -2/5? (a) o (b) -1/2 (c) -4
b
Let y = -0.086 + -0.914. Which is the nearest to 0.01? (a) 1 (b) 4 (c) y
a
Let z = 7 - -7. Let s = z + -16. What is the closest to -0.1 in s, 4, -5?
s
Let v be (-9*2/3)/(-1). Let s be (1/v)/(1/(-4)). Let m = -12/13 + 82/117. Which is the nearest to -1? (a) -0.5 (b) m (c) s
c
Let w = -6 + 3. Let p = -1 + 1. Let x = -1645/9 + 183. What is the closest to p in w, -1/2, x?
x
Let l = -73 + 217/3. Let f = 11 - 6. Let x = f + -7. What is the nearest to 1 in l, x, 2?
2
Let x = 3 - 3.3. Let t = 10016630 + -16898054314/1687. Let u = t + -2/241. Which is the nearest to -1? (a) u (b) 0 (c) x
c
Suppose 1 = 2*q - 3. Suppose -3*r = 3*z - 3, -3*z + 5*r + 3 = -0*r. Let p be (-1 - z) + -2 + q. Which is the closest to -2/3? (a) p (b) -5/6 (c) 1
b
Let g be (44/8 - 5)*2/(-8). What is the nearest to g in -2/5, 1/2, -0.1?
-0.1
Let y be (-1)/3 + 8/18. Let j be -2 - (3/(-5) - 1). Suppose 2*w - 13 = -0*w + d, w - 14 = 2*d. Which is the nearest to j? (a) 1 (b) y (c) w
b
Let u = 3.5 - 4.5. Which is the closest to 1? (a) u (b) -5 (c) -3
a
Let t = 8.6 - 12.6. What is the closest to 1 in t, -1, -5?
-1
Let n = 0 - -1. Let b = -0.1 + 5.1. Let z be 3/63 - (-2)/7. What is the closest to -0.1 in b, z, n?
z
Suppose 6 = 4*v - v - 5*k, -4*v = 2*k - 8. What is the nearest to 2/3 in 6/5, v, 5/2?
6/5
Let y be (-30)/12 - 1*-1. What is the closest to 1 in y, -0.2, 5?
-0.2
Let d = -0.31 - -0.41. Which is the closest to d? (a) 5 (b) -4 (c) -10
b
Let m be ((-120)/(-9))/(-5) - -3. What is the closest to -2/9 in -0.3, m, -5?
-0.3
Let r = -0.2 + 0.4. Let v = 0.2 - r. Let o = -3.7 - -4. What is the nearest to v in o, 2, 0.4?
o
Let c = 1.8 - 5. Let w = c - -5.9. Let v = -3 + w. What is the nearest to 0.3 in v, -2/9, -1/2?
-2/9
Let u = -3 - 0. What is the closest to 1/4 in 2, 1, u?
1
Let j = 2 - 2. Let o = j - 0.1. Let y = -77/5 - -15. Which is the closest to y? (a) o (b) 1/4 (c) 0.5
a
Let h be (2 + -2 + 0)/(10/(-5)). Which is the closest to h? (a) -8 (b) 0.1 (c) -4
b
Let l = 1.2 - 1.7. Let s(x) = -x**2 - 7*x + 7. Let v be s(-8). Which is the nearest to 2/5? (a) 0.5 (b) v (c) l
a
Let v = -39/7 - -443/77. Let p(o) = o**3 + 3*o**2 + 3*o + 3. Let q be p(-2). Which is the closest to 3? (a) -4 (b) q (c) v
b
Suppose -10 = 4*g - 2. Let v be g/(-4)*1*1. Let t(d) = d. Let r be t(0). What is the closest to v in r, 2/5, 5?
2/5
Let l be 1*(-10)/34 + 1. Let t = l - 2/51. What is the nearest to -1 in -2/9, t, 1?
-2/9
Suppose -5*o + 4 = -d, 4*o - 2*o - 3*d = 12. What is the nearest to o in -7, -0.5, 0.4?
0.4
Let k = -1 - 1. Let q = k - -2.1. Let o = -232 + 229. Which is the closest to q? (a) o (b) 2 (c) 4
b
Let h = 17 + -17.1. What is the closest to h in 0.5, -4/5, 1?
0.5
Let t = 6 - 6. Which is the nearest to -0.1? (a) -3 (b) t (c) -3/7
b
Let y = 2.6 + -2.7. Which is the closest to y? (a) -2/3 (b) 2/17 (c) 4
b
Let p = 4 - 3. Suppose g + 15 = -5*i, 0*i + 23 = i - 5*g. Let u be (4/(1 - -1))/i. Which is the closest to u? (a) -0.5 (b) 0.3 (c) p
a
Suppose 3*y - 9 = -4*d, y + 12 = 5*y. Let r = -0.02 - -0.02. What is the nearest to r in d, 2, -4?
d
Let c = -5.0268 - -0.0568. Let n = c + -0.03. What is the closest to 4 in -1, 3, n?
3
Let w = -104 + 103.9. Which is the closest to w? (a) -0.4 (b) -2 (c) -3/5
a
Let f = 4.2 - 4. Let k = -0.6 + 0.5. What is the nearest to k in -1, 1/3, f?
f
Let q = -9 + 9.18. Let r = -0.08 - q. Let m = -0.06 - r. What is the nearest to -1/3 in -4, 0.3, m?
m
Let p = 8.2 + -8.1. Which is the nearest to -1? (a) 0.3 (b) 1 (c) p
c
Let f(r) = -r + 7. Let v be f(5). Let s = 49/10 - 32/5. Which is the nearest to v? (a) s (b) -1/6 (c) -4
b
Let p(f) = f + 10. Let m be p(-7). Suppose m*q + 0 - 6 = 0. Let i be q*-2*15/12. Which is the nearest to 0? (a) -2 (b) i (c) 1/2
c
Let y = 5 + -6. Let v = 0.1 + -0.1. What is the closest to v in y, 5, 0?
0
Let l = 81 + -84. Which is the closest to -1/3? (a) l (b) -1/5 (c) -1
b
Let l = 39 - 38. Which is the nearest to -2/3? (a) -2/11 (b) l (c) 0
a
Let t = 10/21 - 4/21. Which is the closest to 0? (a) -1/4 (b) 5 (c) t
a
Let g = -2.03 + 0.03. Let p = -30.2 + 33.2. Which is the closest to g? (a) p (b) -0.1 (c) -1/6
c
Let w = -2.47 + 2.1. Let q = 0.03 - w. Which is the closest to 0.1? (a) -1 (b) q (c) 2/7
c
Let p = -2.1 - -2.3. What is the closest to p in 0, -2/9, 0.3?
0.3
Suppose 10*f - 12*f + 4 = 0. Let z = 0 + 5. Which is the closest to -0.1? (a) f (b) 0.2 (c) z
b
Let r = -321 - -317. Let i(k) = k - 4. Let v be i(3). Let l be 2*-2*v/5. What is the closest to 0.1 in -0.2, l, r?
-0.2
Let s(g) = -4*g**2 - 2*g - 1. Let v be s(-1). Which is the closest to 0? (a) -2/17 (b) 4 (c) v
a
Let d = -103 - -310/3. Suppose -2*q - 20 = -0*q. Let p = 5 + q. Which is the nearest to d? (a) -2 (b) p (c) -1
c
Let d be 6/4*16/(-24). Let v be ((-6)/20)/(2/(-5)). Let x be ((-4)/2 - 52/(-28))*3. What is the closest to d in x, -5, v?
x
Let o = -0.02 - 0.18. Which is the closest to 0.1? (a) -2 (b) -5 (c) o
c
Let u = 3 - 0. Let f = u - 2.8. Let s = 0.94 + -0.54. What is the closest to f in -4, s, 0.3?
0.3
Let d be 2/21*(2 + 20/(-4)). Which is the closest to -2/9? (a) d (b) -0.4 (c) -5
a
Let q = -1/17 + -13/68. Let t = 1.9 - -1.1. Which is the closest to -1? (a) q (b) t (c) 2/3
a
Let r = -39 + 38.9. Let y = 55/2 - 221/8. What is the closest to r in 1, -0.2, y?
y
Let o = 3.9 - 4.1. Which is the nearest to o? (a) 1 (b) 2 (c) 2/7
c
Let f = 3.98 - -0.02. Let l = -11 - -7. Let s = l - -3.7. Which is the closest to 2/3? (a) f (b) -0.5 (c) s
c
Let t = 25/8 - 291/88. Suppose -3*o + 0 = 9. Which is the nearest to 0.3? (a) t (b) -1/3 (c) o
a
Let n be 6/(-72)*16/(-6). What is the nearest to 0.2 in -5, n, 2/5?
n
Let w be 4/10 - (-14)/(-10). Let n = 0.2 + 0. Let p = -0.3 - n. Which is the closest to w? (a) p (b) 2/11 (c) -4
a
Suppose 8 = 4*w - 2*v - 0*v, -3*w - 8 = 2*v. Suppose h + 8 = 3*q, -q + 2*h + 11 = -w*q. Let g = -3 - -5. Which is the closest to 0? (a) g (b) 1/5 (c) q
b
Let p = 0.27 - 2.27. Which is the nearest to 1/4? (a) -1/7 (b) -0.5 (c) p
a
Let l be ((-5)/(-35))/(2/(-4)). Which is the nearest to l? (a) -0.5 (b) -4 (c) -2
a
Let h = -4.5 - -1.5. Which is the closest to 0.2? (a) -1 (b) 5 (c) h
a
Let l = 33 + -32. What is the nearest to 1 in l, 0.1, -4?
l
Let t(n) = 10*n + 61. Let p be t(-6). Which is the nearest to 1? (a) p (b) -2/15 (c) -50
a
Let r = -31/80 - -3/16. Let x = -3.41 - -0.41. What is the nearest to 0.2 in r, 3, x?
r
Suppose -4*z + 2*f = 22, 0 = 5*z + 3*f - f + 5. Let k be 1247/435 - (0 - -3). Which is the nearest to 2/9? (a) z (b) -2 (c) k
c
Let p = 0.7 - 0.7. Let f be 4/(-3)*1/2. Let g = -0.3 + 0.2. What is the closest to p in 2/7, g, f?
g
Let v = 0.41 - 2.71. Let d = v + 2. Let p = -22 - -21. What is the nearest to -1/3 in -2, p, d?
d
Let h = 68.3 - 68. Let z be (15/2)/5*2. Suppose 3*u + z = -3*k, -2*u + 3*k = 4*k + 1. Which is the nearest to u? (a) 3 (b) -4 (c) h
c
Let d be (-4)/(-2)*(-35)/(-2). Let f = d - 174/5. Let g = 4 - 3. Which is the closest to g? (a) f (b) 0.5 (c) 3
b
Let z = -84.0498 + -0.0502. Let m = z - -77. Let d = m + 7. What is the nearest to 1 in -2/21, -2, d?
-2/21
Let x(w) = -3*w + 5. Let z(l) = -2*l + 4. Let y(q) = 4*x(q) - 5*z(q). Let k be y(-1). Let r = k + -2. Which is the closest to r? (a) 0 (b) 1 (c) 1/3
a
Let k be (-2)/(-4) - (-5)/15. What is the closest to -1 in 5, 10, k?
k
Let r = -0.08 + 0.38. Let o = r - 0.2. What is the closest to 0.1 in o, -3/2, 4?
o
Let b = 1 - -1. Suppose 7*r = 4*r + 24. Let i be 10/r*3/(-5). What is the closest to 2/3 in -5, b, i?
b
Suppose 0 = 2*w + 3*o - 4, 3*w + 5*o + 5 - 12 = 0. Let b be 2/(-6) - w/3. Let l be (-2)/5 + b/4. What is the nearest to l in -3, -4, -2?
-2
Let q = 10 - 9.7. Let d = 1.3 + -0.3. Let y = 6 - 8. Which is the nearest to y? (a) q (b) d (c) -4
c
Let w = -29.2 - -27. Let z = -2 - w. Which is the nearest to z? (a) -0.4 (b) -1/6 (c) 2
b
Let n = -5 + 1. W | {
"pile_set_name": "DM Mathematics"
} |
) = 6*c + x - c + 9*c. Let h(q) = -4*a(q) + 3*d(q). What is the derivative of h(w) wrt w?
-10
Suppose t = -n + 448, t - 6*t - 25 = 0. Find the third derivative of 3*k**6 + 453*k - n*k - 74 - 2*k**2 + 35*k**4 wrt k.
360*k**3 + 840*k
Suppose 3*d - 640 = -7*d. Find the first derivative of 2*j**2 - 2*j**2 + 104 + d*j**3 - 21 - 184*j**3 wrt j.
-360*j**2
What is the third derivative of j**3 - 118*j**4 - 305*j**4 + j**3 - 431*j**4 + 1 - 44*j**2 - 9*j wrt j?
-20496*j + 12
Let s(v) = -72*v**3 + 1071*v**2 - 4*v - 36431. Let k(g) = -17*g**3 + 268*g**2 - g - 9108. Let y(q) = -17*k(q) + 4*s(q). Find the first derivative of y(z) wrt z.
3*z**2 - 544*z + 1
Let z(b) be the second derivative of -2453*b**4/6 + 4790*b**2 - 2641*b. Find the first derivative of z(v) wrt v.
-9812*v
Let y(k) be the third derivative of 19*k**7/210 + 17*k**5/60 + k**4/24 - 505*k**3/3 - 1758*k**2 + k. Differentiate y(z) wrt z.
76*z**3 + 34*z + 1
Let m(v) be the second derivative of -16*v**4 + 0 + 1/2*v**2 + 7/3*v**3 - 174*v. What is the second derivative of m(y) wrt y?
-384
Let m(p) be the third derivative of -66*p**6/5 + p**5/60 + 1199*p**4/4 - 7832*p**2. What is the second derivative of m(n) wrt n?
-9504*n + 2
Let m be (2/6)/(8/48). Differentiate 2*a - 6*a**2 + 82 - 12*a**m - 52 wrt a.
-36*a + 2
Let v(x) be the first derivative of x**5/5 + 5*x**4/2 + 145*x**3/3 - 817*x**2 - 4215. What is the second derivative of v(r) wrt r?
12*r**2 + 60*r + 290
What is the first derivative of 1579*j**2 - j + j - 5467*j**2 + 2559*j**2 - 149 wrt j?
-2658*j
Let d = -81 + 13. Let f be d/6*3/(-2). Find the second derivative of 3*i**5 + f*i + 5*i - 14*i**5 wrt i.
-220*i**3
Let b be 1/((1 - 5)/(-3148)). What is the first derivative of -67*v**2 - 44 - b*v + 787*v wrt v?
-134*v
Suppose 4*i - 5 = -3*r, -r = 5*i + 5 - 3. Suppose 2*y = 3*y - 2*z - r, 5*y = 4*z + 21. What is the third derivative of -41 + y*n**2 + 20*n**4 + 41 wrt n?
480*n
Let p(q) be the third derivative of 2465*q**6/24 + 4154*q**3/3 - q**2 - 276*q + 5. Differentiate p(o) wrt o.
36975*o**2
Let p be (-1465 - 12/(-3))/(-1). Let l = p + -1018. Find the second derivative of 443 - 4*g**4 - 19*g - l wrt g.
-48*g**2
Let d(z) be the third derivative of 79*z**7/35 - 163*z**4/24 + 643*z**2. Find the second derivative of d(s) wrt s.
5688*s**2
Let h(x) = x**3 - 10*x**2 + 24*x - 17. Let b be h(7). What is the second derivative of -u + 237*u**b + u - 67 + 49 + 4*u - 2*u wrt u?
2844*u**2
Let y be (-2)/13 + 1828/52. Differentiate -y - 65*w - 9*w + 10*w with respect to w.
-64
Let y = -85 - -87. Let q(d) be the first derivative of 10*d - d**y - d**2 + 16*d**2 + 32*d + 25. Differentiate q(r) wrt r.
28
Suppose -5*z - 3*d - d = -8, -z - 8 = -4*d. Suppose 2*b - c = -z*b + 4, 5*b = -3*c + 10. What is the derivative of -4*x**2 + 0 - 2 - 2*x**b + 5*x**2 wrt x?
-2*x
Find the second derivative of 5 - 1508*d**2 - 10 + 573*d + 5 + 417*d wrt d.
-3016
Let y be 36/(-216) - 508/(-24). Suppose -5*m = 5*f, 4*f + f + 3*m = 4. Find the third derivative of y*s**f - 11*s**3 + 6*s**3 + 10*s**3 wrt s.
30
What is the second derivative of 23867*i**2 - 9688*i**3 + 4 - 4 - 23867*i**2 + 9081*i wrt i?
-58128*i
Find the second derivative of -16*i**2 - 2835*i + 3*i**2 + 1842 - 23*i**2 - 1842 + 34*i**3 wrt i.
204*i - 72
Let f = -382 + 384. Let x(c) be the first derivative of 0*c**3 + f + 19*c - 15/4*c**4 + 0*c**2. Differentiate x(q) with respect to q.
-45*q**2
Let p(j) = j**4 + 1. Let i(r) = 7*r**4 - 52. Let z(u) = -4*u - 18. Let s be z(-5). Let w(y) = s*p(y) - i(y). What is the derivative of w(h) wrt h?
-20*h**3
Let p(y) = 2*y**4 + 27*y**3 + 240*y**2 + 4*y - 6. Let k(r) = -r**4 - r**3 - r**2 - r + 2. Let w(c) = 3*k(c) + p(c). Find the third derivative of w(n) wrt n.
-24*n + 144
Suppose 0 = -5*i + 14 + 1. Suppose n + 7 = 2*k, -n + 23 = 46*k - 42*k. Find the first derivative of -4*z**3 + 6*z**3 + 24*z**i - 5*z**n + 21 wrt z.
63*z**2
Suppose 11*z - 7*z - 16 = -3*m, -5*m - 20 = -5*z. Find the third derivative of 43*y**5 + 0*y**2 + 960*y - 980*y - z*y**2 - 342*y**5 wrt y.
-17940*y**2
Let o(g) be the first derivative of -11*g**4/4 - g**3 + 35*g**2/2 - 2170*g - 4682. Differentiate o(y) with respect to y.
-33*y**2 - 6*y + 35
Let d be 52/13*-303*1/(-6). Find the second derivative of 3 - 13*a - d*a**4 + 50*a**4 - 6*a - 6*a wrt a.
-1824*a**2
Suppose -7*v + 13*v = 18. What is the third derivative of -5*c**2 - 12*c - 51790*c**3 - 6*c**4 - 2*c**5 + 51790*c**v wrt c?
-120*c**2 - 144*c
Let b = -57 + 47. Let j be (-4 + b/(-1))/2. What is the first derivative of -51*a**2 + 51*a**2 - 4 - 6 + 4*a**j wrt a?
12*a**2
Let n(l) be the second derivative of 257*l**4/4 + 239*l**3/3 - 2*l - 1200. Find the second derivative of n(v) wrt v.
1542
Let f(h) = -192*h**2 + 40*h - 3. Let q(w) = -384*w**2 + 84*w - 7. Let y(t) = -5*f(t) + 2*q(t). Find the second derivative of y(z) wrt z.
384
Find the second derivative of -15 - 125*z**2 + 16*z + 55 + 588*z**3 - 593*z**3 wrt z.
-30*z - 250
Suppose 2*i = -5*m + 1449, 5*m - i + 5*i - 1453 = 0. Suppose -16*w = -m + 49. What is the second derivative of -6*t**2 + 46*t - w*t - 7*t**2 wrt t?
-26
Find the first derivative of -20*y - 30*y - 32*y - 20*y + 125*y - 29*y**2 - 506 wrt y.
-58*y + 23
Let j(a) = -7*a + 2. Let z(o) = -o**2 + 14*o + 15. Let d be z(15). Let c be j(d). Differentiate 33*s**c + 40 - 44 - 9*s**2 with respect to s.
48*s
Let o(i) be the second derivative of 0 + 127*i + 0*i**4 + 75*i**2 - 7/3*i**3 + 7/20*i**5. Differentiate o(n) wrt n.
21*n**2 - 14
Differentiate 4583*f**3 - 380 + 8828 - 14823*f**3 + 1679 wrt f.
-30720*f**2
Let b(a) be the third derivative of -1394*a**5/15 - a**4/24 + 29*a**3/3 - 2317*a**2. Find the second derivative of b(p) wrt p.
-11152
Let q(x) be the third derivative of -367*x**4/6 - 743*x**3/3 + 702*x**2. Differentiate q(v) wrt v.
-1468
Let x(u) be the second derivative of 0*u**7 + 9/8*u**8 + 0*u**3 - 1/12*u**4 + 0*u**6 - 10*u**2 + 0*u**5 + 0 - 38*u. What is the third derivative of x(d) wrt d?
7560*d**3
What is the second derivative of -3*q + 2563*q**4 + 6*q - 434392 + 512*q**4 + 434296 wrt q?
36900*q**2
Let h(r) be the third derivative of -r**7/70 - 11*r**5/6 - 845*r**3/3 - 1609*r**2. Differentiate h(b) wrt b.
-12*b**3 - 220*b
Let v(g) be the second derivative of -2*g**7/21 - g**6/15 - 19*g**5/20 + g**4/12 - 43*g**3/6 + g**2 + 1017*g. Find the third derivative of v(n) wrt n.
-240*n**2 - 48*n - 114
Let y(h) be the first derivative of h**6/2 - 111*h**5 - 2137*h**3/3 - 21. What is the third derivative of y(z) wrt z?
180*z**2 - 13320*z
What is the second derivative of 1589*s + 1138*s**4 - 32948*s**3 - 32943*s**3 + 1489*s + 65890*s**3 wrt s?
13656*s**2 - 6*s
Suppose 0*r = -5*r - 3*h + 207, 2*r = 2*h + 70. Let y = r - 35. What is the second derivative of -3*j - 4*j - 793*j**4 + 798*j**y wrt j?
60*j**2
What is the second derivative of -2 - 1 + l - 6 + 49*l - 83*l**2 - 502*l**2 wrt l?
-1170
Let t(n) = n**3 - 4*n**2 - 5*n + 3. Let b be t(5). What is the second derivative of 12*c**3 - 2 + 9*c**b - 42*c**3 - 62*c + 9*c**3 wrt c?
-72*c
What is the third derivative of -41 + 160*o**6 + 11524*o**3 - 11523*o**3 + 8*o**2 - 22*o**2 wrt o?
19200*o**3 + 6
Let h(k) = -67*k**3 - 2*k**2 + 2*k + 45. Let y(t) = 135*t**3 - 15 + 5*t**2 + 41*t + 42*t - 88*t - 75. Let c(i) = 5*h(i) + 2*y(i). Differentiate c(z) wrt z.
-195*z**2
What is the second derivative of -2503*c**3 + 1229*c**3 - 1695*c**3 + 3371*c + c**2 - c**2 wrt c?
-17814*c
Suppose -58 = l + 4*v, -13 = 2*l - 5*v + 64. Let q be l/(-14) - (-4)/(-14). Differentiate 3*x**3 + 3*x**q - 19 + 4*x**3 + 2 with respect to x.
30*x**2
Let z(u) = -56*u - 67. Let d be z(-3). What is the third derivative of -50 + d - 52*h**5 + 10*h**2 - 53 - 4*h**2 wrt h?
-3120*h**2
Let a(t) = 1277*t - 33850. Let w(x) = -426*x + 11282. Let l(v) = -3*a(v) - 8*w(v). Differentiate l(h) wrt h.
-423
Let n be -33*(2/(-6) + 0). Let m be ((-3)/3)/(-1)*13. What is the third derivative of -4*w**5 - 7*w**5 + 4*w**5 - n*w**2 - m*w**5 wrt w?
-1200*w**2
Suppose 0 = q - 3*r + 6*r - 11, q - 2*r = 21. Find the first derivative of -q*b + 15 + 16 + 7*b - 13 + 8*b + 9*b**4 wrt b.
36*b**3 - 2
Let n(m) = -m**3 - 15*m**2 - 34*m - 6. Let z be n(-14). What is the third derivative of 126*b**3 - z*b**3 + 74*b**3 - 58*b**2 wrt b?
-444
Let a(q) be the third derivative of -11*q**8/336 | {
"pile_set_name": "DM Mathematics"
} |
highest common divisor of 480 and d?
120
Let n(k) = 3*k**2 + 2*k - 4. Let h be n(-4). Let f be ((-6)/10)/(41/(-2460)). What is the highest common divisor of f and h?
36
Let i be 2 - ((-1 - 3) + 3). Suppose i = 11*f - 10*f. Let p be (66 + -3 + f)/2. What is the highest common divisor of 22 and p?
11
Let c(a) = 64*a**2 + 10*a - 56. Let d be c(7). Calculate the greatest common factor of 126 and d.
126
Suppose 0 = -5*d + 57 + 243. Let l be (8 - 204/21)*7*-1. What is the greatest common factor of d and l?
12
Let c = -33 + 111. Let r be (-4294)/(-26) + (-12)/c. Calculate the greatest common divisor of r and 15.
15
Let x(q) = 26*q. Let o be x(-2). Let t = o - -184. Suppose 0*s - t = -4*s. Calculate the highest common divisor of 33 and s.
33
Suppose 0 = 3*o - 0*o - 12. Let a be (-16 - -15)*-4*o. Let z be a + (-2)/(-2) - 1. Calculate the highest common divisor of z and 2.
2
Suppose 20*l - 19*l - 76 = 0. Let a be (36/8)/(3/76). What is the highest common factor of l and a?
38
Suppose -50 - 4 = -6*m. Calculate the highest common divisor of 1359 and m.
9
Let t(y) = -10*y**3 + y. Let f be t(-1). Let c = 154 + -91. What is the greatest common divisor of c and f?
9
Let j be (3 + 12)*28/10. Calculate the highest common divisor of 6 and j.
6
Suppose -3*l + 5*i + 55 = 0, 4*i - 10 = 3*l - 66. Suppose -85 = -3*a - 55. Calculate the highest common factor of a and l.
10
Suppose 3*s = 2*s - 3*d - 12, 0 = 3*s - d + 6. Let x be ((-8)/20 - 0)*-5 - s. What is the greatest common divisor of x and 55?
5
Let i = 25 + -12. Let p = i - 3. What is the highest common factor of p and 20?
10
Let u(q) = 2*q**2 - 40*q - 34. Let d be u(21). What is the highest common factor of d and 14?
2
Let w(a) = 2*a**3 + 13*a**2 + a - 55. Let s be w(-5). What is the highest common factor of 2055 and s?
15
Let p(i) be the second derivative of 1/20*i**5 + 9*i**2 + 2*i + 0 - 1/12*i**4 + 0*i**3. Let j be p(0). What is the greatest common divisor of j and 162?
18
Let c = 218 + -208. Calculate the greatest common factor of c and 110.
10
Suppose -w - 4*g = -41, 2*w = -2*w - 3*g + 99. Suppose 0 = i - w - 169. Calculate the highest common divisor of 76 and i.
38
Let n be 51/(-6)*(-14 - -12). What is the greatest common factor of 51 and n?
17
Suppose 4620 = 37*q - 7*q. Calculate the highest common factor of 42 and q.
14
Let c(y) = 3*y**2 - 5*y + y**2 - 2*y**2 + 0*y**2 + 12. Let v be c(2). What is the highest common divisor of 4 and v?
2
Let y = 94 - 58. Let n(z) = -z + 19. Let p be 4/(-10) + 222/30. Let l be n(p). Calculate the highest common divisor of l and y.
12
Suppose 8*j - 58 - 22 = 0. Calculate the highest common factor of 125 and j.
5
Let u be 2 + -3 + 5/10*50. Calculate the highest common factor of u and 136.
8
Let l(z) = -3*z**2 - z - 2. Let i(a) = a - 1. Let p(j) = -2*i(j) - l(j). Let w be p(-4). Let u be (24/15)/(1/5). What is the highest common factor of u and w?
8
Let w(v) = 2*v**2 - 22*v - 72. Let m be w(-7). What is the highest common divisor of 12 and m?
12
Let s be (-207)/(-18) + 2/(-4). Calculate the greatest common divisor of s and 583.
11
Suppose -q - 5*p + 10 = -0*p, 0 = -5*q - 2*p + 4. Suppose q = 3*z + 3*z - 90. Calculate the highest common factor of 5 and z.
5
Suppose -47 = 7*y - 194. Calculate the highest common divisor of 28 and y.
7
Suppose 0 = -15*h + 12*h + 21. Suppose 2*g + 70 = 7*g. What is the highest common factor of g and h?
7
Let b = -208 + 292. Suppose 0 = 6*i - 104 - 64. What is the highest common divisor of i and b?
28
Suppose -r + 10 = -70. Let i(g) = -3*g + 2. Let n = 4 - 10. Let j be i(n). Calculate the greatest common divisor of j and r.
20
Let n = -218 + 224. Calculate the highest common factor of n and 6.
6
Suppose 576 = y + 4*c, 5*y - 2*c + 572 = 6*y. What is the greatest common divisor of 71 and y?
71
Let k = 154 + -144. Calculate the highest common factor of k and 45.
5
Suppose -16*p - 266 = -778. What is the highest common factor of 320 and p?
32
Let p = -240 + 102. Let i = p + 218. What is the greatest common divisor of 10 and i?
10
Suppose -33 = -4*y + 4*b + 27, 3*y + 3*b - 39 = 0. Suppose y = -q + 20. What is the greatest common divisor of 2 and q?
2
Suppose 4*k + z = -z + 438, 0 = 4*k - 2*z - 442. Let b be (10 - 5)/5 - -10. What is the highest common divisor of b and k?
11
Let i = 1 - -5. Let z be (-3)/i + 771/2. Calculate the highest common divisor of 35 and z.
35
Suppose -y - 848 = -3*k - 3*y, -2*y - 1440 = -5*k. Let n(v) = -v - 44. Let m be n(-70). Calculate the highest common factor of k and m.
26
Let y(q) = 2*q**2 + 7*q + 13. Let d be y(17). Let k = d + -493. Calculate the greatest common factor of 31 and k.
31
Suppose 3*c - x - 4*x = 90, c + 3*x - 44 = 0. What is the greatest common factor of 5 and c?
5
Let x(i) = 3*i**2 - 9*i + 8. Let k be x(4). What is the greatest common factor of 12 and k?
4
Let k = -8 - -10. Let f(s) = -6*s + 1 + 2 + 14*s - 1. Let v be f(k). Calculate the highest common factor of 18 and v.
18
Suppose -9 = -y + 2*t - t, 4*y + t - 21 = 0. Let q be (-14)/y*(-4 - 5). What is the highest common factor of q and 28?
7
Let u be (3 + 0)*42/63 - -6. Let s be ((-38)/(-4))/((-1)/(-2)). Let c = s + -11. Calculate the greatest common divisor of u and c.
8
Suppose -116*z + 170640 + 69480 = 0. Calculate the greatest common divisor of z and 90.
90
Let w(p) = -8*p - 9. Let d be w(-7). Let x = -9 - -9. Let s be d + -2 + x/(-1). Calculate the greatest common divisor of s and 30.
15
Let f(t) = -5*t + 7. Let w be f(3). Let o = 26 + -40. Let r = w - o. What is the greatest common divisor of 15 and r?
3
Suppose -d - 4 + 6 = 0. Let c(h) = 7*h + 4 + 2*h**d - 2*h**2 + h**2 + 2. Let g be c(-7). Calculate the highest common factor of g and 12.
6
Let o = 473 - 374. What is the highest common factor of o and 77?
11
Let f = 30 + -20. Let j = f + -4. Suppose -2*y - j = -v, 7*v - 30 = 2*v + 4*y. Calculate the highest common divisor of v and 15.
3
Let k be (-10)/2*((-2)/1)/2. Suppose k*s + 289 = 309. Calculate the highest common divisor of s and 6.
2
Suppose -12*j - 22*j = -16864. Calculate the highest common divisor of j and 8.
8
Let k be (-2)/(24/128*(-2)/3). Calculate the greatest common factor of 64 and k.
16
Suppose 0 = -14*f + 1893 + 977. What is the greatest common factor of 82 and f?
41
Let l(k) = 7*k**2 + 33*k + 43. Let u(b) = -3*b**2 - 17*b - 22. Let s(r) = -4*l(r) - 9*u(r). Let f be s(22). Calculate the greatest common divisor of 2 and f.
2
Suppose 9*r - 12*r = -3, 0 = -4*o - 4*r + 28. Calculate the greatest common divisor of o and 27.
3
Let o(f) = 1. Let c(u) = -2*u**2 + 2*u - 7. Let x(g) = -c(g) - 3*o(g). Let r be x(-3). Calculate the greatest common factor of 7 and r.
7
Let a(x) = -2*x + 16. Let p be a(7). Suppose p*y - 22 = -2*m, m - y + 13 = 4*y. What is the highest common factor of 7 and m?
7
Let a be 6*(-3)/9*-3. Let q be 26 - a/(0 - -2). What is the highest common divisor of q and 23?
23
Let d = -57 - -57. Suppose 5*u - i - 62 = 3*i, d = -2*u - 2*i + 32. What is the highest common divisor of u and 7?
7
Suppose -8*u + 18*u - 770 = 0. Suppose -9*s + 652 + u = 0. What is the highest common divisor of 9 and s?
9
Let q(d) = -d**2 + 40*d + 75. Let c be q(41). Calculate the greatest common factor of c and 374.
34
Suppose 2*a - 6*a = 0. Suppose -2*p + 0*p + 278 = a. Let d = p + -91. Calculate the highest common factor of 32 and d.
16
Suppose 0*z - 4*z + 2*f = -14, -2*z - 8 = 4*f. Suppose z*s = -0*s - 4. Let c be s/4*-38 - -3. Calculate the greatest common factor of 22 and c.
22
Suppose 0 = -3*n + n + 2. Let k be 16/(-20)*-20*n. Let r = 111 + -87. What is the greatest common divisor of k and r?
8
Let b(q) = q**3 - 12*q**2 + 13*q + 6. Let v = -24 - -35. Let z be b(v). Calculate the highest common divisor of z and 14.
14
Let j = -184 - -199. Suppose 4*u - 127 = 413. Calculate the greatest common factor of u and j.
15
Let y be (-4)/(-22) + 373336/506. What is the greatest common factor of y and 82?
82
Suppose 2*b = 5*k - 1583 - 2976, 4*b = 5*k - 4553. What is the highest common factor of 11 and k?
11
Suppose 13 = j - 5*o + o, 0 = 2*j + 4*o - 2. Let f be 15/j + -4 - -8. Suppose 2*m - 9 + f = 0. Calculate the highest common factor of m and 1.
1
Let h(b) = 11*b**2 + b - 1. Let t be h(-4). Suppose -5*r + t = 4*y - 14, -2*r + 71 = y. What is the greate | {
"pile_set_name": "DM Mathematics"
} |
integer?
5
What is the tenth root of 4112 to the nearest integer?
2
What is 3307 to the power of 1/5, to the nearest integer?
5
What is the ninth root of 5536 to the nearest integer?
3
What is the cube root of 559 to the nearest integer?
8
What is the cube root of 2000 to the nearest integer?
13
What is the eighth root of 7763 to the nearest integer?
3
What is the cube root of 1864 to the nearest integer?
12
What is 17234 to the power of 1/9, to the nearest integer?
3
What is the eighth root of 1853 to the nearest integer?
3
What is 15 to the power of 1/2, to the nearest integer?
4
What is the square root of 59401 to the nearest integer?
244
What is the tenth root of 60137 to the nearest integer?
3
What is 13550 to the power of 1/2, to the nearest integer?
116
What is 4186 to the power of 1/9, to the nearest integer?
3
What is 9415 to the power of 1/9, to the nearest integer?
3
What is the eighth root of 507 to the nearest integer?
2
What is the third root of 9965 to the nearest integer?
22
What is 10428 to the power of 1/3, to the nearest integer?
22
What is the cube root of 1725 to the nearest integer?
12
What is 8880 to the power of 1/3, to the nearest integer?
21
What is the cube root of 28544 to the nearest integer?
31
What is the square root of 10101 to the nearest integer?
101
What is the third root of 798 to the nearest integer?
9
What is the square root of 74662 to the nearest integer?
273
What is the cube root of 64232 to the nearest integer?
40
What is 1943 to the power of 1/2, to the nearest integer?
44
What is 68640 to the power of 1/10, to the nearest integer?
3
What is the seventh root of 3200 to the nearest integer?
3
What is the third root of 4781 to the nearest integer?
17
What is 159 to the power of 1/5, to the nearest integer?
3
What is the square root of 1687 to the nearest integer?
41
What is 1399 to the power of 1/4, to the nearest integer?
6
What is 11819 to the power of 1/6, to the nearest integer?
5
What is the eighth root of 1820 to the nearest integer?
3
What is the fourth root of 22284 to the nearest integer?
12
What is 4574 to the power of 1/3, to the nearest integer?
17
What is the sixth root of 663 to the nearest integer?
3
What is 6360 to the power of 1/4, to the nearest integer?
9
What is 1206 to the power of 1/3, to the nearest integer?
11
What is the sixth root of 72937 to the nearest integer?
6
What is 77784 to the power of 1/2, to the nearest integer?
279
What is 21865 to the power of 1/2, to the nearest integer?
148
What is the fifth root of 1663 to the nearest integer?
4
What is 199 to the power of 1/5, to the nearest integer?
3
What is the third root of 1671 to the nearest integer?
12
What is the fourth root of 483 to the nearest integer?
5
What is the third root of 2889 to the nearest integer?
14
What is the eighth root of 63390 to the nearest integer?
4
What is the third root of 2041 to the nearest integer?
13
What is 5516 to the power of 1/5, to the nearest integer?
6
What is 2733 to the power of 1/2, to the nearest integer?
52
What is the third root of 1621 to the nearest integer?
12
What is the square root of 5312 to the nearest integer?
73
What is the sixth root of 27512 to the nearest integer?
5
What is the cube root of 2069 to the nearest integer?
13
What is the seventh root of 4903 to the nearest integer?
3
What is 5152 to the power of 1/3, to the nearest integer?
17
What is the square root of 24488 to the nearest integer?
156
What is 84941 to the power of 1/2, to the nearest integer?
291
What is the third root of 6793 to the nearest integer?
19
What is 36608 to the power of 1/4, to the nearest integer?
14
What is the cube root of 349 to the nearest integer?
7
What is the square root of 11751 to the nearest integer?
108
What is the eighth root of 13746 to the nearest integer?
3
What is the sixth root of 4395 to the nearest integer?
4
What is the cube root of 56190 to the nearest integer?
38
What is the third root of 77 to the nearest integer?
4
What is the square root of 29086 to the nearest integer?
171
What is 2181 to the power of 1/2, to the nearest integer?
47
What is the sixth root of 135 to the nearest integer?
2
What is 10992 to the power of 1/2, to the nearest integer?
105
What is the cube root of 3578 to the nearest integer?
15
What is the cube root of 7404 to the nearest integer?
19
What is the eighth root of 5265 to the nearest integer?
3
What is the third root of 140256 to the nearest integer?
52
What is 3105 to the power of 1/4, to the nearest integer?
7
What is the fifth root of 10122 to the nearest integer?
6
What is 28980 to the power of 1/10, to the nearest integer?
3
What is 10393 to the power of 1/2, to the nearest integer?
102
What is the square root of 332 to the nearest integer?
18
What is 73000 to the power of 1/9, to the nearest integer?
3
What is the square root of 5645 to the nearest integer?
75
What is the square root of 1929 to the nearest integer?
44
What is the eighth root of 2551 to the nearest integer?
3
What is the third root of 916 to the nearest integer?
10
What is 20085 to the power of 1/3, to the nearest integer?
27
What is 18219 to the power of 1/2, to the nearest integer?
135
What is 387 to the power of 1/9, to the nearest integer?
2
What is the cube root of 3357 to the nearest integer?
15
What is 3254 to the power of 1/4, to the nearest integer?
8
What is 150324 to the power of 1/2, to the nearest integer?
388
What is the third root of 980 to the nearest integer?
10
What is the third root of 151489 to the nearest integer?
53
What is 26462 to the power of 1/4, to the nearest integer?
13
What is the sixth root of 32579 to the nearest integer?
6
What is the cube root of 60757 to the nearest integer?
39
What is 57 to the power of 1/2, to the nearest integer?
8
What is the ninth root of 5822 to the nearest integer?
3
What is 83565 to the power of 1/3, to the nearest integer?
44
What is 1654 to the power of 1/2, to the nearest integer?
41
What is the seventh root of 7550 to the nearest integer?
4
What is 5489 to the power of 1/8, to the nearest integer?
3
What is the third root of 2701 to the nearest integer?
14
What is the third root of 61199 to the nearest integer?
39
What is 5079 to the power of 1/2, to the nearest integer?
71
What is the square root of 46075 to the nearest integer?
215
What is the third root of 13909 to the nearest integer?
24
What is the cube root of 1144 to the nearest integer?
10
What is 64502 to the power of 1/2, to the nearest integer?
254
What is 2432 to the power of 1/8, to the nearest integer?
3
What is 836 to the power of 1/2, to the nearest integer?
29
What is the cube root of 1313 to the nearest integer?
11
What is the ninth root of 1829 to the nearest integer?
2
What is the third root of 755 to the nearest integer?
9
What is 4181 to the power of 1/7, to the nearest integer?
3
What is 186 to the power of 1/2, to the nearest integer?
14
What is the cube root of 110748 to the nearest integer?
48
What is 5067 to the power of 1/2, to the nearest integer?
71
What is 21336 to the power of 1/6, to the nearest integer?
5
What is the cube root of 92995 to the nearest integer?
45
What is 177 to the power of 1/2, to the nearest integer?
13
What is the seventh root of 27846 to the nearest integer?
4
What is 45799 to the power of 1/2, to the nearest integer?
214
What is 3876 to the power of 1/8, to the nearest integer?
3
What is the cube root of 11849 to the nearest integer?
23
What is 35727 to the power of 1/2, to the nearest integer?
189
What is 1907 to the power of 1/3, to the nearest integer?
12
What is 74983 to the power of 1/3, to the nearest integer?
42
What is 6008 to the power of 1/4, to the nearest integer?
9
What is the third root of 50413 to the nearest integer?
37
What is the square root of 3237 to the nearest integer?
57
What is the third root of 2146 to the nearest integer?
13
What is the fifth root of 86548 to the nearest integer?
10
What is 1738 to the power of 1/2, to the nearest integer?
42
What is 5699 to the power of 1/3, to the nearest integer?
18
What is 18890 to the power of 1/2, to the nearest integer?
137
What is 6318 to the power of 1/2, to the nearest integer?
79
What is 21855 to the power of 1/2, to the neare | {
"pile_set_name": "DM Mathematics"
} |
107*k + 3295).
-321*k**3
Expand (2*j**3 + 50*j**3 - 4*j**3 + (-3*j + 3*j - 2*j**2)*(j + 0*j + j))*(12 + 9 - 7)*(-2*j - 1 + 1).
-1232*j**4
Expand (-36 + 13 - 2*t + 18)*(-2*t - 2*t - 10*t).
28*t**2 + 70*t
Expand (5 - 5 + 3*b)*(0 + 4 - 2)*(2 - 4 + 5) + 2*b + 0 - 8 + 3.
20*b - 5
Expand (3 - 3 + 2)*(142 + 72 - 91)*(3*n - n - 3*n).
-246*n
Expand (-86 + 11 - 76)*(0 + x + 0*x + 2).
-151*x - 302
Expand (-11*u**2 - 18*u**2 + u**2 + (2*u - 1 + 1)*(6 - 6 - 1 + 4*u))*(-2*u**2 + 0*u**2 + u**2).
20*u**4 + 2*u**3
Expand ((3 + 1 - 2)*(4 - 1 - 2) - 1 - 1 + 3)*(-11*a + 0*a + 5*a) + 2*a + 3 - 3.
-16*a
Expand ((5*a**3 - 3*a**3 - a**3)*(-15 + 14 - a + 11*a) - 7*a**4 - 3*a + 3*a)*(a - 1 + 1).
3*a**5 - a**4
Expand (0 + 0 - 2*c)*(2 + 4 - 4)*(-1 + 0 + 0 + 0 + 0 - 1 + (-1 + 2 + 1)*(0 - 4 + 3) + 4 + 0 - 2)*(-102 + 168 + 123)*(-2 + 2 - 1).
-1512*c
Expand (-6*s + 3*s + 2*s)*(-s**3 + 0*s**2 + 0*s**2) + 73*s**4 + 106*s**4 - 151*s**4.
29*s**4
Expand (-4*d**2 - d**2 - 9*d**2)*(-346 + 18*d + 346)*(0*d**2 + d**2 + d**2).
-504*d**5
Expand (-2*o - 3*o - o)*(-2 + 0 + 4) + 0 - 2*o + 0 + 14 - 10 + o - 2*o.
-15*o + 4
Expand -3*l**5 - 2*l**5 + 6*l**5 - 7*l**5 + 2*l**5 - 9*l**5 + (-4 - 2*l + 4)*(0*l**4 - 2*l**4 + 3*l**4).
-15*l**5
Expand (2187*j - 4*j**3 - 3 + j**3 - 2189*j)*(1 + 6 - 1).
-18*j**3 - 12*j - 18
Expand -3*k**4 - 3*k**4 + 5*k**4 + (-1 + 1 + 2*k**3)*(2*k - 3*k + 3*k) - 400*k**4 + 694397 - 694397 - 3*k.
-397*k**4 - 3*k
Expand (0 - 3 + 11)*(-1 + x - 4 + 9).
8*x + 32
Expand (-2 - c + 2)*(0 - 3 + 7)*(-5*c**2 + 17*c**2 + c**2).
-52*c**3
Expand ((0 + 2 - 4)*(2 - 2 + 2) + 456 - 662 + 489)*(-3*g**2 - g**2 + 5*g**2).
279*g**2
Expand -5*x**2 + x**2 + 2*x**2 + (4 - 4 - x)*(3*x - 4*x + 3*x) - 27599*x - 2*x**2 + 27599*x + 1.
-6*x**2 + 1
Expand (8096*a - 3975*a - 3995*a)*(5 - 2 - 2).
126*a
Expand ((-5 + 2 - 2)*(-n**2 - 1 + 1) + (0*n + 3*n - n)*(2*n + n - n))*(-3*n**3 + 0*n + 0*n).
-27*n**5
Expand x + 0*x - 2*x**2 - 3*x + (-3*x + 2*x + 5*x)*(-10*x - 2*x - 4*x).
-66*x**2 - 2*x
Expand (-u + u + 2*u)*(-100*u + 100*u - 10*u**2 + (-3 + 3 + 1)*(3*u**2 - 4*u**2 + 3*u**2) + u**2 - 3*u**2 + u**2).
-18*u**3
Expand (3 + l - 3)*(0 + 1 - 2)*(-5*l**2 - 15*l**2 - 2*l**3 + 22*l**2) - 2*l**4 + 2*l**4 + 5*l**4.
7*l**4 - 2*l**3
Expand (0*y + 0*y - y)*(5 + 0 - 3)*(-38*y**3 - 171 + 171 + (1 + y**3 - 1)*(-2 + 0 + 4)).
72*y**4
Expand (3 - 2 - 2)*(-2*z + 5*z - z) + z - 3*z + 4*z + z - z + 2*z + (-4 - 1 + 6)*(-3 + 2*z + 3) + 117 - 117 + 20*z.
24*z
Expand (3*m + 3*m - 7*m)*(-2*m**2 - 3*m**2 + m**2) + 62*m**3 + 58*m**3 - 122*m**3.
2*m**3
Expand (-q - 5*q + q)*(13 - 13*q - 13)*(-1 - 1 + 0).
-130*q**2
Expand (-l**2 + l**2 + 3*l**2)*(-4*l**2 - 5*l**2 - 4*l**2).
-39*l**4
Expand 2*s - s + 0*s + (-1 + 0 + 0)*(2 - 2*s - 2) - 6 + 17*s + 6 + (5*s + 0*s - 3*s)*(-4 + 0 + 5).
22*s
Expand (-2 - 301*z + 648*z - 493*z)*(-z**2 + z**2 - 2*z**3).
292*z**4 + 4*z**3
Expand (1 + 0 + 4*y - 2)*(288*y**2 + 21*y**2 + 46*y**2).
1420*y**3 - 355*y**2
Expand 2*t**2 - 4*t**2 + 3*t**2 + (2*t + 2*t - 5*t)*(-t + 2 - 2) + (t - t + 4*t)*(2*t + 0*t + 0*t).
10*t**2
Expand (o**2 - o**2 - 6*o**3)*(-13*o + 11*o + 9*o + 16*o).
-138*o**4
Expand (-5*r + 0*r + 3*r)*(3 - 17*r**2 - 16*r**2 + 17*r + 32*r**2).
2*r**3 - 34*r**2 - 6*r
Expand (-z - 1 + 1 - 5*z + 4*z - z + (0 + 0 + 2)*(-3 + 3 - z) + 1 - 5*z - 1)*(10*z**4 - 48*z**4 - 61*z**4).
990*z**5
Expand (250 - 3198 - 3233 - 3495 + 2*f)*(-f**2 + 3 - 3).
-2*f**3 + 9676*f**2
Expand (-2 + 2 + 2*j**2)*(16 - 7 + 64) + 2*j**2 - 2*j**2 - j**2 + (-2*j - 3 + 3)*(2*j - j + 0*j).
143*j**2
Expand -43 + 11*u**3 + 45 + u**3 + 4*u**3 - 5*u**3 - u**3 - 4 + u**3 + 4 + (2*u - 5 + 5)*(0*u**2 - u**2 + 3*u**2) + 1 + 3*u**3 - 1.
18*u**3 + 2
Expand 22*q - 39 + 39 + (1 - 2 + 0)*(-6*q + q + 0*q) + (-2*q + 2*q - q)*(1 - 2 - 1).
29*q
Expand -49 + 49 + 26*z + (4*z - 4*z + z)*(5 - 2 - 4).
25*z
Expand (a + 4*a - 3*a + 2*a + 0*a - a + 3*a + 3*a - 5*a - a - a + a + (2*a + 0*a - a)*(-4 + 4 - 2) - 1 + 1 + 2*a)*(-4 - 1 + 0)*(0 - 77 - 19).
1440*a
Expand (-98 + 90 - 3*t + 7*t)*(-5*t**3 + 0*t**3 + 4*t**3).
-4*t**4 + 8*t**3
Expand 43 + 69*w - 43 + (3*w - 7*w - w)*(0 + 3 - 4).
74*w
Expand (2*d + 1 - 1)*(-3 + 1 - 5) + 11*d + 3 - 3.
-3*d
Expand (1182*o**2 - 54*o - 88*o + 142*o)*(5*o**3 - 4*o**3 - 2*o**3).
-1182*o**5
Expand (0 + 2*w + 0)*(3*w + 15 - 15) - 5*w**2 + 6*w**2 + w**2.
8*w**2
Expand (-f**2 - 4*f**2 - 10*f**2)*(-2*f + f**2 + 2*f) + 37*f**4 + 0*f**3 + 0*f**3.
22*f**4
Expand ((a + 0*a + 2*a)*(-3 + 7 - 15) + 3*a - 6*a + 2*a)*(3 - 3 + 1).
-34*a
Expand -2*i**5 - 2*i**2 + 2*i**2 + (10*i**3 + 8*i**4 - 10*i**3)*(-61 - i + 32 + 28).
-10*i**5 - 8*i**4
Expand (2*d - 797 + 1626 - 811)*(-2*d**4 + d**2 - d**2).
-4*d**5 - 36*d**4
Expand (-3*z + 5*z - 3*z)*(40 - 64 - 53)*(-z**2 + 2*z**2 + 2*z**2) - 3*z**2 + 3*z**2 - z**3.
230*z**3
Expand (-t**5 - t**5 + 0*t - 2*t)*(4 - 2 - 1)*(10 - 1 + 0).
-18*t**5 - 18*t
Expand (-3*r + 3*r + r)*(32 - 14*r - 32).
-14*r**2
Expand ((-7*y + 0*y - 3*y)*(2*y**3 + 2*y**3 - y**3) - 2*y**4 - 2*y**4 + 2*y**4)*(5*y - 12*y + 5*y).
64*y**5
Expand (714*o - 491*o - 2921*o + (-1 - 2 + 5)*(1 + 2*o - 1) + 0*o + 4*o - 5*o)*(-2*o**3 + 0*o**3 + 3*o**3).
-2695*o**4
Expand (-1 + q + 1)*(-472 + 864 - 697) + (-q + 5*q - 2*q)*(-1 - 1 + 4).
-301*q
Expand (3 + 0 + 0)*((-5*z + 0*z + 3*z)*(-1 + 1 + 3*z) + (-z + 3*z + 0*z)*(z - 2*z - z) - 6*z + 16*z**2 + 6*z) - 5 - 6*z**2 + 5.
12*z**2
Expand 5*j**3 - j**3 - 2*j**3 + (j + j - 3*j)*(-2 + 2 - j**2) + 25*j**3 - 23*j + 23*j.
28*j**3
Expand -13 + 13 + 8*p**2 + (2*p + 1 - 1)*(-6 + 4*p + 6).
16*p**2
Expand (2*r**3 - 4*r**2 + 4*r**2)*(814 - 124 + 81)*(2 - 1 + 1).
3084*r**3
Expand (-3*g - g + 2*g + 2)*((-4*g**2 + 4*g**2 - 2*g**3)*(-1 - 2 + 2) + (-5*g + 0*g + 2*g)*(-g**2 + 2*g - 2*g)).
-10*g**4 + 10*g**3
Expand (6*x**2 - 9*x**2 - 5*x**2)*(6*x**3 + 2*x**3 + 5 - 6*x**3).
-16*x**5 - 40*x**2
Expand (-2*w**2 - 2*w + 2*w)*(0 + 744*w - 3 + 3 - 3383*w).
5278*w**3
Expand (-4*t**2 + 0*t - t + 16*t**2)*((5*t**3 - 2*t**3 - t**3)*(2 - 2 + 4) - 4*t**3 - t**3 + 3*t**3).
72*t**5 - 6*t**4
Expand (2*y + 1 + 5*y - 6*y)*(-13*y - 14*y - 4*y).
-31*y**2 - 31*y
Expand (-1 + 3 - 3)*(6*o - 1 + 1)*(1 - 5 - 4)*(1 - 1 + 1)*(-2*o**3 - 1 + 1).
-96*o**4
Expand -472*a**5 - 315*a**5 - 20*a**5 + (3*a**4 - 3*a**4 - 2*a**4)*(2*a + 2*a - 3*a).
-809*a**5
Expand (-4*z + 4*z - 9*z)*((-2 + 2*z + 2)*(0 + 2 - 5) + 4 + 3*z - 4).
27*z**2
Expand (3 - 2 + 3)*(2 + 1 - 2)*(4*q - 2*q + 0*q) + 2*q + q + 7*q.
18*q
Expand (y + 3*y + 0 - 1)*(3*y - 2*y + 6*y)*(3 - 4 - 4).
-140*y**2 + 35*y
Expand (-4*r**2 + 0*r**2 + 2*r**2)*(10 + 0 + 2)*(r - 4*r - 29*r).
768*r**3
Expand (-14 + 13 + 27)*(0*f - 7*f - 9*f).
-416*f
Expand (z**2 + 3*z**2 - z**2)*(-z + 5*z - 3*z) + (-24*z**3 - 6*z**3 + 9*z**3)*(6 - 3 + 5).
-165*z**3
Expand (2*z**4 - 4 + 4 + (-z**3 - z**3 + z**3)*(-z - 3*z + 2*z) + (-3*z + z**2 + 3*z)*(0*z**2 + z**2 + 3*z**2))*(z - 3*z + z) - 5*z**5 + 3*z**5 + 12*z**5.
2*z**5
Expand (t**3 - t**3 - 2*t**3)*(0*t + 0*t - t) - 54*t**2 + 89*t**2 + 2*t**4 - t**3 - 50*t**2.
4*t**4 - t**3 - 15*t**2
Expand (-2 + 2 - 2)*(0 + 17 - 3)*(7*v**2 + 2*v**2 - 4 - 6*v**2) + 0*v**2 + v**2 - 3*v**2.
-86*v**2 + 112
Expand (-v + 3*v - 6*v)*(-3 + 3 + 2*v**4) + 0*v**5 + v**5 - 9*v**5 - 2*v**5 + v**5 + 0*v**5.
-17*v**5
Expand (4*u + 0*u - 2*u)*(u - 2*u**2 - u) - 444*u + 444*u + 67*u**3.
63*u**3
Expand (23 - 23 - 2*v)*(-120*v**3 + 7432 - 7432).
240*v**4
Expand ((-1 + 2 + 0)*(y + 5 - 5) + 5*y - y - 2*y - 49*y + 52*y - 7 + 26)*(13*y - 14*y**2 - 13*y) + (2*y**2 - 2*y**2 + y**2)*(-3 + 3 + 2*y) - 3 - y**3 + 3.
-83*y**3 - 266*y**2
Expand (-15*t + 5*t + 9*t)*(0 - 6 + 0)*(-5 + 4 - 3).
-24*t
Expand -64 + 64 + 8*z**5 + (4*z**2 - z**2 - 4*z**2)*(40 - 40 + 5*z**3) + 3*z**5 + 0*z**5 - 5*z**5.
z**5
Expand -2*v**4 + 0*v**2 + 0*v**2 + (-v - 3*v + 2*v)*(13 - 13 - 31*v**3).
60*v**4
Expand (-10*w**4 - 24*w**4 + 82*w**4)*(-2 + 1 + 0)*(2 - 4 + 0)*(3 - 3 + w).
96*w**5
Expand (-p + 2*p + 6*p)*(p + p**2 - p + (-2*p**2 - p**2 + p**2)*(18 + 25 - 11)).
-441*p**3
Expand 0 - 2*k + 0 + (63 + 35 + 21)*(0*k - k + 2*k + 7).
117*k + 833
Expand (1 - 121 + 244)*(-1 + 2 + 0)*(-t + t - 2*t).
-248*t
Expand (-2*w**3 + 2*w**3 - 2*w**5)*(-8 - 5 - 5 + (2 + 0 - 1)*(0 + 1 + 0) + 3 + 0 - 1 - 10 + 10 + 17).
-4*w**5
Expand (-2 + 2 + 2*z**2)*(-3 + 1 + 2199*z**3 - 2203*z**3 + 106*z).
-8*z**5 + 212*z**3 - 4*z**2
Expand ((-2 + 0 + 3)*(-2*j + 0*j + 0*j) + | {
"pile_set_name": "DM Mathematics"
} |
Let s(h) = -5 - 5 - 3 - 21*h**c. Calculate -2*s(j) + 9*x(j).
-3*j**2 - 1
Let n(g) = 8*g**3 - 7*g**2 - 6*g - 7. Let m(t) = 15*t**3 - 13*t**2 - 11*t - 13. Suppose -5*x + 2*w + 3*w + 55 = 0, -5*x - w = -55. Determine x*n(o) - 6*m(o).
-2*o**3 + o**2 + 1
Let d(k) = k**2 + 25*k - 5. Let t(z) = -4*z**2 - 100*z + 22. What is -26*d(n) - 6*t(n)?
-2*n**2 - 50*n - 2
Let g be (30/(-4))/((-42)/168). Let h(d) = d**3 + d**2 + d - 1. Let l(k) = 25*k**3 + 30*k**2 + 30*k - 30. Give g*h(t) - l(t).
5*t**3
Let m(r) = -3*r**3 + 17*r**2 - 5*r + 2. Let d(a) = 10*a**3 - 47*a**2 + 15*a - 5. What is -4*d(x) - 11*m(x)?
-7*x**3 + x**2 - 5*x - 2
Let g(r) = 7*r - 2. Let h(v) = v. Let s(w) = -w**2 - 6*w + 10. Let k be s(-7). Suppose 18 = 2*d - 2*z, k*z + 2*z + 27 = 2*d. Give d*h(n) - g(n).
-n + 2
Let l(t) = -3*t - 4 + 2 - 3 + 7*t. Suppose -3*o + 0 - 3 = 0. Let u(m) = m - 1. Let r be 56/10 + (-6)/10. Determine o*l(y) + r*u(y).
y
Let o(i) = -49*i**3 - 2*i**2 + 2*i - 2. Let x(r) = -6222*r**3 - 255*r**2 + 255*r - 255. What is -255*o(v) + 2*x(v)?
51*v**3
Let g(j) = -j**3 + 2*j**2 + 2. Let m(t) be the first derivative of t**4/4 - t**3 + t**2/2 - 3*t - 130. Give 3*g(u) + 2*m(u).
-u**3 + 2*u
Let h(x) = 3*x**2 + x. Let k(i) = i - i + 3*i + 4*i**2 + 1 - i. Suppose 0 = -231*a + 237*a - 12. What is a*k(q) - 3*h(q)?
-q**2 + q + 2
Let i(z) = -z**2 - z - 1. Let d(u) = -15*u**2 - 4*u - 8. Let j be 1 + 12/90 + 4/(-30). Calculate j*d(c) - 6*i(c).
-9*c**2 + 2*c - 2
Let u be (-1)/(5/(-20)) + 1. Let z(c) = 0*c - 127 - 2*c + u*c**2 + 130. Let x(k) = -10*k**2 + 4*k - 5. What is 3*x(w) + 5*z(w)?
-5*w**2 + 2*w
Let w(z) = -z - 1. Let j(v) = -5*v. Let k(b) = -j(b) + 4*w(b). Let s(g) = -2*g + 27 + 30 - 78 + 30. Calculate 5*k(q) + 2*s(q).
q - 2
Let f(x) = 25*x**3 + x**2 + 4*x + 2. Let s(g) = 52*g**3 + 2*g**2 + 9*g + 5. Determine 13*f(d) - 6*s(d).
13*d**3 + d**2 - 2*d - 4
Let o(s) = 5*s + 4. Let j(c) = -c + 5. Let g(y) = -y + 6. Let u(f) = -6*g(f) + 7*j(f). Suppose 5*z = 121 - 106. Determine z*u(d) + o(d).
2*d + 1
Let b(i) = 6*i**2 + 36*i + 12. Let u(s) = 3*s + 1. Let o(d) = -b(d) + 12*u(d). Let j(q) = -12*q**2. Determine -6*j(m) + 11*o(m).
6*m**2
Let t(y) = 9*y**2 - 16*y + 1. Let s(c) = -c**2. What is -6*s(m) - t(m)?
-3*m**2 + 16*m - 1
Let s(x) = -x**2 + 3*x + 3. Let w(q) be the third derivative of -q**4/24 - q**3/6 - 4*q**2 - 19*q. Determine s(v) + w(v).
-v**2 + 2*v + 2
Let n(c) be the third derivative of c**6/20 + c**5/15 + c**3/2 + 271*c**2. Let o = 9 - 5. Let r(g) = -7*g**3 - 5*g**2 - 4. What is o*r(j) + 5*n(j)?
2*j**3 - 1
Let q(c) = 7. Let k(p) = -p - 7. Let v(b) = 3*k(b) + 2*q(b). Let t(a) = -11*a + 8. Let w(u) = -4*u + 4. Let h(y) = -2*t(y) + 5*w(y). Determine 7*h(l) + 4*v(l).
2*l
Let g(o) = 51*o + 3. Let n(t) = 153*t + 11. Determine -7*g(l) + 2*n(l).
-51*l + 1
Let n(k) = -4*k - 3. Let t(o) = -11*o + 16. Let i(v) = 10*v - 13. Let x(b) = 6*i(b) + 5*t(b). Calculate -3*n(l) - 2*x(l).
2*l + 5
Let w = 4269 + -4267. Let g(s) = -s**2 + 1. Suppose -o - 3*o = 4. Let u(c) = c**2 + 2. Give o*u(k) + w*g(k).
-3*k**2
Let f(v) = -v - 1032. Let c(h) = -2*h - 1043. Determine 3*c(t) - 4*f(t).
-2*t + 999
Let f be (6/5)/(3/(-20)). Let n(r) = r**2 - 8*r + 5. Let c(o) = 3*o - 2. Let j = -191 + 188. Determine f*c(k) + j*n(k).
-3*k**2 + 1
Let d(y) = -y**2 - y - 1. Let u(t) = 5 + t + 27 + 4 - 3*t. Let f be u(15). Let c(x) = -4*x**2 - 3*x - 6. Give f*d(j) - c(j).
-2*j**2 - 3*j
Let u(q) = -4*q**3 - q**2 - 3. Let m(a) = -5*a**3 - 1 - 8 + 0 - a**2 + 5. Determine -2*m(w) + 3*u(w).
-2*w**3 - w**2 - 1
Let n(x) = 81*x**2 + 6. Let i(p) = 1. What is -18*i(d) + 3*n(d)?
243*d**2
Let k(t) = -23*t**2 - t. Let o(z) = -70*z**2 - 3*z. What is -7*k(a) + 2*o(a)?
21*a**2 + a
Let j(h) = 26*h + 86. Let k(r) = -18*r - 57. What is 5*j(l) + 7*k(l)?
4*l + 31
Let c(z) = -3*z**3 - 2*z**2 + z. Let n(t) = -2*t**3 + 2*t + 2*t**3 - 5*t**2 - 7*t**3. Let g be (-10)/(-5)*(3 + -2). What is g*n(k) - 5*c(k)?
k**3 - k
Let v(p) = 5016*p**2 + 95*p. Let h(y) = 209*y**2 + 4*y. Calculate -95*h(c) + 4*v(c).
209*c**2
Let q be (-19)/7 - (-2)/(-7). Let n(g) = 7*g + 1. Let i(b) be the first derivative of 2*b**2 + b - 11. Calculate q*n(c) + 5*i(c).
-c + 2
Suppose -i = 5*r - 4*i - 10, 0 = -5*r - 3*i + 10. Let z(v) = v - 2. Let q(t) = 1. What is r*q(l) + z(l)?
l
Let v(s) = 11*s - 5. Let r(n) = -2. Determine -r(p) + v(p).
11*p - 3
Let x(n) = -2 + 4*n**2 + 4*n**2 + 2*n - 3*n**2 + 3*n - 3. Let l(u) = 5*u**2 + 4*u - 4. Calculate 5*l(f) - 4*x(f).
5*f**2
Let a(m) = -m**2. Let t(y) = -2*y**3 + 8*y**2 - 2. Let f(g) = -2 + 1 - 6*g - 12*g - 8*g**2 + 9*g**2. Let o be f(18). Calculate o*t(b) - 8*a(b).
2*b**3 + 2
Let p(d) = -57*d**3 - 10*d**2 - 5*d. Let v(j) = -j**3 - 2*j**2 - j. Determine -4*p(x) + 20*v(x).
208*x**3
Let y = 1 + -5. Let p be (2/y)/(1/12). Let q be (-4)/p + 7/21. Let h(c) = 2*c**2 + 2*c + 1. Let a(b) = -b. Determine q*a(r) + h(r).
2*r**2 + r + 1
Let y(w) = -6*w**2 - 5. Let j(n) = 15*n**2 + 12. Let h(d) = d + 2. Let c be h(3). Suppose 0 = 4*m, -4*m + c = 5*t - 20. What is t*j(l) + 12*y(l)?
3*l**2
Let v(z) = 3*z + 1. Let n(j) = 16 - 8 - 12 + 3 - 2*j. Let l be (-14)/(-8) - 1/(-4). Let a = l - -2. Determine a*v(y) + 5*n(y).
2*y - 1
Let w(f) = -2*f. Suppose -2*a - 3*a = -4*z + 16, 3*a = 0. Suppose -3 = r, -z*q - 5 = r + 2*r. Let m(p) = p**2 + p. Give q*w(g) + 2*m(g).
2*g**2
Let f(z) = -z**3 - 5*z**2 + 5*z - 7. Let c be f(-6). Suppose 0 = -29*g + 26 - 258. Let n(q) = q**3. Let l(a) = -4*a**3. Calculate c*l(b) + g*n(b).
-4*b**3
Let f = -33 - -34. Let p(x) be the second derivative of -x**3/6 - x**2/2 + 3*x. Let q(v) be the first derivative of v + 6. What is f*q(c) - p(c)?
c + 2
Let w(q) = 51*q - 21. Let c(x) be the third derivative of -5*x**4/24 + x**3/3 - 466*x**2. Let b = -2 + 0. What is b*w(j) - 21*c(j)?
3*j
Let b(t) be the second derivative of -t**2/2 - 102*t. Let d(p) = -p - 9. Give -4*b(z) + d(z).
-z - 5
Let c(a) = 0*a - 9*a**2 - 16*a - 11 - 7*a**2. Let z(x) = -x**2 + 10 - 2 - 1 + 3*x + 4*x**2 - 5. What is 2*c(n) + 11*z(n)?
n**2 + n
Let r(m) = -m**2 + 108*m + 5. Let q(i) = -3*i**2 + 325*i + 13. Give -3*q(n) + 8*r(n).
n**2 - 111*n + 1
Let y(v) = v**3 + 3*v**2 - 6*v + 4. Let l be 198/27*(-54)/(-99). Let t(h) = -2*h**3 - 6*h**2 + 11*h - 7. What is l*t(k) + 7*y(k)?
-k**3 - 3*k**2 + 2*k
Let b(r) = 4*r - 180. Let d(q) = -3*q + 179. Determine 2*b(j) + 3*d(j).
-j + 177
Let q(o) = o**3 + 3*o**2 - 6*o - 5. Let c be q(-4). Let r(m) = 4*m**2 - 3*m. Let h(f) = 7*f**2 - 5*f. What is c*h(w) - 5*r(w)?
w**2
Let n(b) = b**2 + b + 1. Let i(w) = w**2 + 4*w + 4. Suppose 3*o + 6 = 0, 5*o + 21 = -3*j - 1. What is j*n(r) + i(r)?
-3*r**2
Let j(o) = -3*o**2 + 119 + 0*o**2 - 2*o - 121. Let l(g) = -5*g**2 - 5*g - 5. Let v be (-4)/22 + (-22)/(-121) + -2. Determine v*l(c) + 5*j(c).
-5*c**2
Suppose -u - 9 = 2*u. Let w(t) = 2 + 2*t - 4*t - 4 + 0*t. Let j(g) = -2*g - 3. What is u*w(h) + 2*j(h)?
2*h
Let h(v) = -136*v - 17. Let s(y) = -135*y - 22. Give 5*h(k) - 4*s(k).
-140*k + 3
Let b(h) = -7*h**2 - 1 + 7*h + 1 - 3*h**3. Let n(x) = 168*x - 166. Let p be n(1). Let s(a) = a**3 + 2*a**2 - 2*a. What is p*b(i) + 7*s(i)?
i**3
Let p(m) = m**2 - 12*m + 4. Let s be p(12). Let a(d) = -1. Let q(c) = c - 3. Give s*q(z) - 14*a(z).
4*z + 2
Let g be 5 + (-4 - (-35)/(3 + 2)). Let i(s) = 11*s**3 - 5*s**2 + 8*s + 17. Let x(u) = -4*u**3 + 2*u**2 - 3*u - 6. Calculate g*x(h) + 3*i(h).
h**3 + h**2 + 3
Let r = 8 - -2. Let t(a) = 10*a - r*a - 1 + 2*a. Let w(d) = d**2 + d + 1. Give 2*t(q) - 2*w(q).
-2*q**2 + 2*q - 4
Let q(i) = 0*i + i - 5 + 4. Let o(x) = -4*x + 5. Suppose 3*d = 7*d - 16. Suppose d*j - 3*u + 3 = 0, 0*j - j - 15 = 4*u. Give j*q(a) - o(a).
a - 2
Suppose 7*g - 33 = 23. Suppose 7*t + g = 3*t. Let a(x) = -4*x**3 + 2*x. Let p(c) = 17*c**3 - 9*c. Give t*p(m) - 9*a(m).
2*m**3
Let r(g) = 4*g**3 + g**2 + 2*g - 2. Let i = 7 - 6. Let t be r(i). Let b(o) = -3*o**2 - 7*o + 7. Let y(x) = -4*x**2 - 10*x + 10. Calculate t*y(h) - 7*b(h).
h**2 - h + 1
Let z(a) = -4. Suppose u = 4*l - 1, 4*l + 8 = 2*u + 2*u. Let y(c) = -182 - c + 91 + 86. Give u*y(r) - 4*z(r).
-3*r + 1
Suppose 46 = 5*o - 34. Let a(d) = -8*d + 5*d - 7*d. Let x(s) = -21*s + 11. Let l(w) = 4*w - 2. Let h(r) = -11*l(r) - 2*x(r). Give o*h(z) - 3*a(z).
-2*z
Let y(r) = -125*r + 3. Let z(c) = -124*c + 3. What is 3*y(s) - 2*z(s)?
-127*s + 3
Let w(m) = 9*m**3 + 3*m**2 - | {
"pile_set_name": "DM Mathematics"
} |
0.4 in 3.9, 3, j?
j
Let d = 777 - 779. What is the closest to 2/3 in 2/5, -126, d, 0.1?
2/5
Let m be (33/9 + -3)/((-284)/(-3)). Let f = -36/71 + m. Which is the closest to 0? (a) f (b) 0 (c) -2
b
Let b be 1 - 3 - (-2 - (-5)/(-5)). Let u(t) = -t**2 - 40*t + 125. Let k be u(-43). What is the nearest to b in 2, k, -6, 4?
2
Let k = -7.59 - -0.19. Let o = k - -8. Which is the closest to o? (a) 3 (b) -2 (c) 0.4
c
Let b = 17.014 + -17. Let w = b - 0.114. Let k = -11 + 14. What is the closest to 0 in w, -0.2, k?
w
Let r = 27 - 28. Let y(x) = -17*x + 136. Let l be y(8). Which is the nearest to 3? (a) r (b) 4 (c) l
b
Let w = -7 - -9. Let q be (1 + w)/(99/(-6)). Let r = 9 + -6. What is the nearest to 7 in r, 5, q?
5
Let n = 17025 + -17049. Which is the closest to 0.4? (a) -4/3 (b) n (c) 3
a
Suppose 100*u - 106*u + 258 = 0. Suppose u*g - 40*g = 12. What is the nearest to -3/10 in 0, g, -5?
0
Let w = -1240/5731 - -18/521. Let j be 0 + 2/5*-2. Which is the nearest to 2/13? (a) w (b) -1 (c) j
a
Suppose -3*f = -2*f + i - 2, -14 = 3*f - 2*i. Let r be (495/144)/((-154)/(-56)). What is the nearest to r in 0, f, -0.3?
0
Let m be -13 - 22/(-209)*1771/14. Which is the closest to m? (a) 2 (b) -0.25 (c) 2/9 (d) 3
c
Let f be (1/16*30)/((-17)/(-136)). What is the closest to f in 4, -1, 6?
6
Let r be (-4)/(-10) - 8/70. Let f = -22.628 + 1038.528. Let a = -1016 + f. What is the nearest to a in r, 0.3, -0.3?
-0.3
Let l = 1.02789 + 0.97211. Let j = -3 + 0. What is the nearest to 0 in -5, j, l, 1/2?
1/2
Let f = 18 + -16. Let s = -236.2 + 237.2. Which is the closest to s? (a) f (b) -0.2 (c) 21
a
Let s(f) = 6*f**2 + 4*f - 1. Let h be s(1). Suppose h = -3*x + 27. Suppose -x*q - 16 = 8. What is the closest to -2/11 in 0.4, 1/7, q?
1/7
Let x = 1850 + -1848. Suppose -4*y - 8 = -0. What is the closest to y in x, 8, 3?
x
Suppose -5*t - 17*n + 21*n = -1846, n = 4*t - 1479. Which is the closest to -1? (a) -2 (b) 4 (c) t
a
Let p be 217/(-14) + 8 + (-2)/(-4). Let f be (5 + (-66)/12)*p. What is the closest to f in -0.3, 2, 2/5?
2
Let w = -9 - -6.3. Let u = -3 - w. Let s = 95/3 + -31. Which is the nearest to s? (a) -2 (b) u (c) 2/15
c
Suppose 5*y - 10 = -q - 9, 4*q = y + 4. Which is the closest to -1? (a) q (b) 0 (c) 17/4
b
Let q = -2.0236 + -0.0064. Let m = -0.03 - q. Let i = -24775 - -24775.2. Which is the closest to 0.13? (a) i (b) m (c) 1/4
a
Let b = -3398 + 3403. Let q = 1 + -1.1. Let m = 0.059 - 3.059. What is the closest to 8 in b, q, m?
b
Let l be ((-33)/44)/((-15)/(-8)). Let f = -1525 + 1525. Let h = -42 + 43. What is the nearest to f in l, -0.1, h?
-0.1
Let p = 7.5636 - 8.5636. Let q(i) = -i**2 - i + 1. Let r be q(2). Which is the nearest to p? (a) -3/5 (b) 6/13 (c) r
a
Let b = -0.3441 - -0.0441. Suppose 18*m + 456 = -m. What is the closest to m in 3, b, -0.4?
-0.4
Let p = -7923.7 + 7924. Which is the closest to -5? (a) 31 (b) -5 (c) 0.2 (d) p
b
Let t = 1376.4 + -1376.6. What is the closest to t in 120/7, -0.4, 2/17, 3/8?
-0.4
Let x be 2 - ((-70)/(-22) + -1). Let i = 2.321 + -2.45. Let n = i + -0.071. Which is the nearest to 0? (a) x (b) n (c) 1
a
Let j = -773 - -1084. Let d = 311.5 - j. Which is the closest to d? (a) -0.4 (b) 3/7 (c) 0
b
Let w be (-2145)/810*3 - (4*4)/(-2). Which is the nearest to 1? (a) 1/109 (b) w (c) -1/5
b
Let v = 0.2814 + -0.7814. Let i = 164 - 141. Which is the nearest to 1? (a) i (b) v (c) -2/7 (d) -3
c
Let o(i) = -i**3 + 28*i**2 - 188*i + 11. Let t be o(11). Which is the nearest to t? (a) 24 (b) 0 (c) 0.2 (d) -2
b
Let h = 0.42308 - 0.02308. Which is the nearest to -1/3? (a) h (b) 5 (c) 36
a
Let i = -856.6 + 139.6. Let m = i + 715. Let l(x) = 4*x - 4. Let j be l(-3). Which is the closest to m? (a) -4 (b) 1/3 (c) j
a
Let z = 3.7 - 23.7. Let a = -21 - z. Let f = 0.332 - 0.232. What is the closest to f in a, 1, -3?
1
Let k = -0.0317 + 0.5317. What is the closest to k in 0.2, 54, -4, 2/3?
2/3
Let p = 3.1811 - 1.1811. What is the closest to -0.1 in 4, -1/4, p, 7?
-1/4
Let u = -17109 - -17109. Let w = 31 - 20. Which is the nearest to u? (a) 1 (b) -3 (c) -2 (d) w
a
Suppose w + 4*w = k - 35, 3*k = -w + 25. Let t = -7.7 - -64.7. Let n = t + -61. Which is the nearest to k? (a) n (b) 2 (c) 1
b
Let g = 1826 + -2875. Let z = 1048.8 + g. Which is the closest to 3? (a) 4 (b) z (c) -2 (d) -0.8
a
Suppose -391*k + 496 = 105*k. Let q = 2/23 - -7/184. What is the nearest to 1/3 in 18, q, k?
q
Let j = -8 + 8.1. Which is the closest to -0.1? (a) 5 (b) 7 (c) 0.19 (d) j
d
Let p = 4.98 + -5.01. Which is the closest to -0.5? (a) 12 (b) p (c) 0.4 (d) 1/4
b
Let r(f) = 114*f - 8 - 121*f - f**3 - 7*f**2 + 16*f**2. Let k be r(8). What is the closest to k in -3/2, 1, 0.3?
0.3
Let u be -3 - (-2)/7 - -3. Let v = 2284 + -2285. What is the nearest to v in -60, -0.1, u?
-0.1
Let c(x) = -3*x**3 - 19*x**2 + 156*x + 21. Let z be c(-11). What is the nearest to 1.4 in z, 3/4, 1, -5?
1
Let v = 2066 - 2071. Let h = 61 - 17. Which is the nearest to h? (a) 3 (b) v (c) 4
c
Let x = 0.16 - -0.14. Let m = 0.07 + 0.23. Let p = 3434 - 65248/19. Which is the nearest to m? (a) x (b) p (c) -5
a
Let r(k) = 7*k**2 - 4 - 28*k**2 + 11*k**2 - 8*k + 9*k**2. Let n be r(-7). Let q be ((-18)/15)/(42/(-15)). What is the closest to -0.08 in n, q, -2/13?
-2/13
Let m be 42/(-490)*(0 + -5)*-766. Let l = -328 - m. What is the nearest to -0.2 in l, 4, -2/7?
-2/7
Let t be (4/(2/(-1)))/(40/(-40)). What is the closest to -3 in t, -2/51, -2, -3?
-3
Let q be 300/147 - 68/1666. Let w(t) = 3*t - 1. Let k be w(1). Let u = 0.3 - 0.8. What is the closest to q in u, k, -2/5?
k
Let m = 1.66 - -0.34. Let u = 4.02 - 0.02. Suppose 9 = -3*q, -5*q - 11 = -p + 8. What is the closest to u in -2, m, p?
p
Suppose 4*i + 3*o - 14 = 0, -13*o - 16 = -8*i - 17*o. Which is the closest to i? (a) -2 (b) -5 (c) -3 (d) 2/5
a
Let r = 0.0021 + -2.2321. Let p = r - -2.33. Which is the closest to 0? (a) 5 (b) 7 (c) p
c
Let g = 0.02025 + 0.27975. Which is the nearest to 1.7? (a) g (b) -1/4 (c) 0 (d) -6
a
Let z = 3988 + -3987.6. Which is the nearest to 0.03? (a) 1/5 (b) -2/7 (c) -22 (d) z
a
Let v = 1.13664 + -0.13664. Which is the nearest to v? (a) 5 (b) 2 (c) 85 (d) 0.5
d
Let n = 6/41 - 100/123. Let p = 23720 + -23724. Which is the nearest to n? (a) 5 (b) p (c) -0.5
c
Let h = -0.5 + 0.3. Let s = 633.8 - 630.8. Which is the nearest to h? (a) -2/5 (b) 5 (c) s
a
Let k = -19269 + 19267. What is the nearest to -107 in 0, k, -0.3?
k
Let s = 2.5 + -3. Let u = 67 - 72. Let v be ((-2)/(-15)*3)/(4/(-6)). Which is the closest to -1? (a) v (b) u (c) s
a
Let m = 3038.2 + -3037.9. What is the closest to 0 in m, 38.1, -0.5?
m
Let i = 148 + -142. Suppose 2 = q - i*t + 3*t, 0 = -2*q - 5*t + 4. Which is the closest to 2/249? (a) 3/4 (b) -0.5 (c) q
b
Let q = 302 - 293. Let s be (-217)/245 + q/15. What is the nearest to s in -4, -3/2, 4?
-3/2
Let j = -0.0032 - -6.9732. Let h = 1.97 - j. What is the closest to 1 in 33, h, -0.2?
-0.2
Suppose -5*u + 4*z = -18, 0*u - 2*u + z = -6. Let o be (-2*(u + -1))/(-11). Let j = -1.6334 - 0.3666. Which is the closest to j? (a) o (b) -2 (c) 0
b
Let r = 7.79807 - -0.12493. Let n = r + 0.077. Let p = 67/219 + 2/73. Which is the closest to p? (a) 2/9 (b) n (c) 0
a
Let k = -24.3 + 19.3. Let n = -2208.5 + 2208. Which is the nearest to n? (a) -2 (b) k (c) 2 (d) -1
d
Let s be 12/5 + -1 + -1. Let p = -8815 + 8814. Which is the nearest to s? (a) p (b) 4 (c) 0.36
c
Let x be (-1176)/21*1*(-13)/2. Let c be (-20)/70 - ((-1616)/x - -4). What is the closest to 3 in -1/35, -1, c?
c
Let u = 15.5929 - 2.5929. Which is the nearest to -0.1? (a) -122 (b) u (c) -0.5
c
Suppose -8 = 3*m - 2*u, -5*m - 6*u = -2*u + 6. Let d be (-578)/102 - (-10)/(m + 4). What is the nearest to 1/3 in -45, d, -2/9?
-2/9
Let m = -8/865 - 841/2595. Which is the closest to -1/3? (a) 3/7 (b) -8 (c) m
c
Let p = 7 - 10. Let z be 6644/550 - (-4)/(-50) - 1. Which is the nearest to 2/3? (a) z (b) 2 (c) p
b
Let a = 5.6 - 5. Let h = -0.672 - -0.272. Let b = -3.7 + 4.7. What is the nearest to b in h, -1/2, a?
a
Let v = 44834 + -44832. Let y = -75 + 527/7. Which is the closest to y? (a) 4 (b) 17 (c) v
c
Let t = 1.2274 + 0.0126. Let z = t - -4.26. Whic | {
"pile_set_name": "DM Mathematics"
} |
510
What is the square root of 198249 to the nearest integer?
445
What is 3965410 to the power of 1/2, to the nearest integer?
1991
What is the third root of 345277 to the nearest integer?
70
What is the cube root of 574261 to the nearest integer?
83
What is 427649 to the power of 1/2, to the nearest integer?
654
What is 1188719 to the power of 1/2, to the nearest integer?
1090
What is the sixth root of 2659957 to the nearest integer?
12
What is the seventh root of 17793968 to the nearest integer?
11
What is the third root of 315340 to the nearest integer?
68
What is 5770214 to the power of 1/2, to the nearest integer?
2402
What is 9025 to the power of 1/2, to the nearest integer?
95
What is 34396038 to the power of 1/3, to the nearest integer?
325
What is the cube root of 13940 to the nearest integer?
24
What is the tenth root of 119186 to the nearest integer?
3
What is the tenth root of 130918 to the nearest integer?
3
What is the seventh root of 15110413 to the nearest integer?
11
What is 449503 to the power of 1/5, to the nearest integer?
14
What is the cube root of 306618 to the nearest integer?
67
What is the cube root of 1239951 to the nearest integer?
107
What is the tenth root of 3509745 to the nearest integer?
5
What is the sixth root of 342748 to the nearest integer?
8
What is the ninth root of 6029792 to the nearest integer?
6
What is the third root of 581645 to the nearest integer?
83
What is the tenth root of 6 to the nearest integer?
1
What is the tenth root of 7526154 to the nearest integer?
5
What is 2344698 to the power of 1/3, to the nearest integer?
133
What is the cube root of 1293068 to the nearest integer?
109
What is 3578527 to the power of 1/8, to the nearest integer?
7
What is the fourth root of 228595 to the nearest integer?
22
What is 558430 to the power of 1/3, to the nearest integer?
82
What is the third root of 2076207 to the nearest integer?
128
What is the sixth root of 325579 to the nearest integer?
8
What is the third root of 281781 to the nearest integer?
66
What is 281493 to the power of 1/3, to the nearest integer?
66
What is 54449 to the power of 1/6, to the nearest integer?
6
What is the square root of 180662 to the nearest integer?
425
What is 189117 to the power of 1/9, to the nearest integer?
4
What is 81031 to the power of 1/3, to the nearest integer?
43
What is 358932 to the power of 1/3, to the nearest integer?
71
What is 21049867 to the power of 1/6, to the nearest integer?
17
What is 93860 to the power of 1/8, to the nearest integer?
4
What is 464905 to the power of 1/6, to the nearest integer?
9
What is the third root of 6016735 to the nearest integer?
182
What is 3365835 to the power of 1/5, to the nearest integer?
20
What is 50544 to the power of 1/3, to the nearest integer?
37
What is 153748 to the power of 1/2, to the nearest integer?
392
What is the square root of 3370515 to the nearest integer?
1836
What is 16446967 to the power of 1/3, to the nearest integer?
254
What is the eighth root of 23320249 to the nearest integer?
8
What is the square root of 1182727 to the nearest integer?
1088
What is the cube root of 609680 to the nearest integer?
85
What is the third root of 8524233 to the nearest integer?
204
What is 6878322 to the power of 1/8, to the nearest integer?
7
What is 1743160 to the power of 1/3, to the nearest integer?
120
What is the fourth root of 196283 to the nearest integer?
21
What is the third root of 356472 to the nearest integer?
71
What is the third root of 517729 to the nearest integer?
80
What is the third root of 757996 to the nearest integer?
91
What is 4701230 to the power of 1/3, to the nearest integer?
168
What is 21869 to the power of 1/4, to the nearest integer?
12
What is the square root of 19611274 to the nearest integer?
4428
What is the cube root of 5969983 to the nearest integer?
181
What is 10782011 to the power of 1/2, to the nearest integer?
3284
What is 5903508 to the power of 1/5, to the nearest integer?
23
What is the cube root of 2526547 to the nearest integer?
136
What is the square root of 746393 to the nearest integer?
864
What is 5140 to the power of 1/2, to the nearest integer?
72
What is the third root of 1491749 to the nearest integer?
114
What is 1839574 to the power of 1/3, to the nearest integer?
123
What is 13783668 to the power of 1/2, to the nearest integer?
3713
What is 6870596 to the power of 1/9, to the nearest integer?
6
What is the tenth root of 951531 to the nearest integer?
4
What is the tenth root of 6718013 to the nearest integer?
5
What is the square root of 722394 to the nearest integer?
850
What is 13359149 to the power of 1/3, to the nearest integer?
237
What is the third root of 618037 to the nearest integer?
85
What is the square root of 129443 to the nearest integer?
360
What is 3639027 to the power of 1/7, to the nearest integer?
9
What is the third root of 1473616 to the nearest integer?
114
What is the square root of 33386818 to the nearest integer?
5778
What is 260278 to the power of 1/7, to the nearest integer?
6
What is the square root of 2081662 to the nearest integer?
1443
What is the sixth root of 37829853 to the nearest integer?
18
What is the square root of 1070354 to the nearest integer?
1035
What is 8429690 to the power of 1/3, to the nearest integer?
204
What is the square root of 2187544 to the nearest integer?
1479
What is the cube root of 501639 to the nearest integer?
79
What is 733029 to the power of 1/2, to the nearest integer?
856
What is 450331 to the power of 1/5, to the nearest integer?
14
What is 12513538 to the power of 1/2, to the nearest integer?
3537
What is the cube root of 714044 to the nearest integer?
89
What is the tenth root of 301192 to the nearest integer?
4
What is the third root of 795986 to the nearest integer?
93
What is 361254 to the power of 1/4, to the nearest integer?
25
What is the square root of 138923 to the nearest integer?
373
What is 4073051 to the power of 1/9, to the nearest integer?
5
What is the fourth root of 11190858 to the nearest integer?
58
What is the cube root of 4078350 to the nearest integer?
160
What is 645695 to the power of 1/2, to the nearest integer?
804
What is 34427294 to the power of 1/3, to the nearest integer?
325
What is 1998537 to the power of 1/4, to the nearest integer?
38
What is 2883941 to the power of 1/4, to the nearest integer?
41
What is the third root of 1059816 to the nearest integer?
102
What is the third root of 23701212 to the nearest integer?
287
What is 678725 to the power of 1/6, to the nearest integer?
9
What is the tenth root of 546135 to the nearest integer?
4
What is 215264 to the power of 1/6, to the nearest integer?
8
What is 300908 to the power of 1/8, to the nearest integer?
5
What is 336465 to the power of 1/3, to the nearest integer?
70
What is the tenth root of 1122673 to the nearest integer?
4
What is the square root of 21941697 to the nearest integer?
4684
What is the tenth root of 194485 to the nearest integer?
3
What is the cube root of 642572 to the nearest integer?
86
What is 39055496 to the power of 1/2, to the nearest integer?
6249
What is 491646 to the power of 1/2, to the nearest integer?
701
What is the ninth root of 164811 to the nearest integer?
4
What is the square root of 24449629 to the nearest integer?
4945
What is 623356 to the power of 1/7, to the nearest integer?
7
What is the third root of 463348 to the nearest integer?
77
What is 284971 to the power of 1/2, to the nearest integer?
534
What is the seventh root of 4960251 to the nearest integer?
9
What is the square root of 67998 to the nearest integer?
261
What is the third root of 1292166 to the nearest integer?
109
What is 266475 to the power of 1/2, to the nearest integer?
516
What is 694148 to the power of 1/2, to the nearest integer?
833
What is the third root of 248780 to the nearest integer?
63
What is 7568170 to the power of 1/4, to the nearest integer?
52
What is the square root of 11951462 to the nearest integer?
3457
What is the third root of 256587 to the nearest integer?
64
What is 1119091 to the power of 1/7, to the nearest integer?
7
What is the third root of 620474 to the nearest integer?
85
What is 15781964 to the power of 1/6, | {
"pile_set_name": "DM Mathematics"
} |
equence ndki.
3/2912
What is prob of sequence jjkj when four letters picked without replacement from kdjkgbbbjjykbk?
1/1001
What is prob of sequence dzd when three letters picked without replacement from ddddddddzzzzddzddz?
11/68
What is prob of sequence uuyy when four letters picked without replacement from vvssyvvuquvvqvvvy?
1/14280
Calculate prob of sequence nndn when four letters picked without replacement from ndnnyyynn.
5/252
Two letters picked without replacement from {n: 2, a: 10, i: 3}. What is prob of sequence ni?
1/35
What is prob of sequence ws when two letters picked without replacement from {z: 3, l: 4, y: 3, e: 2, w: 1, s: 3}?
1/80
Four letters picked without replacement from yoyy. Give prob of sequence yoyy.
1/4
What is prob of sequence vyvk when four letters picked without replacement from ykmvvy?
1/90
Calculate prob of sequence aaa when three letters picked without replacement from aaaaaaaaaakakka.
44/91
Four letters picked without replacement from {i: 5, j: 8, b: 3}. Give prob of sequence iiib.
3/728
Two letters picked without replacement from {r: 1, e: 1, b: 1, j: 1, f: 2, d: 1}. What is prob of sequence fr?
1/21
Calculate prob of sequence dxgd when four letters picked without replacement from {x: 2, g: 9, d: 5}.
3/364
Calculate prob of sequence xxx when three letters picked without replacement from {t: 2, x: 4, m: 2}.
1/14
Calculate prob of sequence nd when two letters picked without replacement from {z: 2, q: 3, d: 1, o: 3, n: 6}.
1/35
Four letters picked without replacement from llllvvvlllllll. Give prob of sequence llll.
30/91
Calculate prob of sequence cz when two letters picked without replacement from {z: 2, u: 1, c: 1, y: 1, e: 2}.
1/21
Two letters picked without replacement from cmccrmmc. What is prob of sequence cc?
3/14
Three letters picked without replacement from {k: 3, w: 4, s: 4}. What is prob of sequence sks?
2/55
Three letters picked without replacement from {q: 3, r: 7}. What is prob of sequence qqq?
1/120
What is prob of sequence vv when two letters picked without replacement from jlvvvenjlvlvlvn?
1/7
What is prob of sequence mc when two letters picked without replacement from pmpppmcmpmm?
1/22
What is prob of sequence pizz when four letters picked without replacement from {z: 2, p: 7, d: 7, i: 2}?
7/18360
What is prob of sequence sd when two letters picked without replacement from {s: 4, u: 4, m: 4, d: 2, r: 1, x: 4}?
4/171
What is prob of sequence hhi when three letters picked without replacement from {i: 8, h: 5, v: 2}?
16/273
Two letters picked without replacement from {v: 2, n: 1, w: 1, r: 1, i: 2, g: 1}. Give prob of sequence vw.
1/28
Two letters picked without replacement from {o: 1, k: 1, d: 1, s: 1, j: 1}. Give prob of sequence jo.
1/20
Three letters picked without replacement from adeaedaeaaeeadaa. Give prob of sequence dad.
1/70
Calculate prob of sequence jmj when three letters picked without replacement from jdjjjmjjdjqjq.
14/429
What is prob of sequence ocmy when four letters picked without replacement from ocmcmcmcycmyqmyom?
3/952
Three letters picked without replacement from {o: 5, x: 3, f: 2}. What is prob of sequence ooo?
1/12
Two letters picked without replacement from {v: 2, p: 2, w: 1, r: 1, x: 2}. What is prob of sequence vx?
1/14
What is prob of sequence lwd when three letters picked without replacement from {x: 2, l: 3, d: 1, w: 1}?
1/70
Calculate prob of sequence yl when two letters picked without replacement from {l: 2, y: 3}.
3/10
Calculate prob of sequence soob when four letters picked without replacement from {o: 2, s: 1, b: 2}.
1/30
Four letters picked without replacement from mmmimmmiiimmmmimmmmm. Give prob of sequence mmmm.
91/323
Three letters picked without replacement from orffhahfcrha. What is prob of sequence foh?
3/440
What is prob of sequence al when two letters picked without replacement from {a: 2, o: 3, k: 1, l: 1}?
1/21
Calculate prob of sequence oo when two letters picked without replacement from {o: 8, d: 4, n: 4}.
7/30
What is prob of sequence uj when two letters picked without replacement from {u: 2, i: 3, b: 2, j: 2, d: 1, o: 2}?
1/33
What is prob of sequence yyvv when four letters picked without replacement from {v: 2, x: 7, t: 6, w: 1, y: 2, z: 1}?
1/23256
What is prob of sequence ttxx when four letters picked without replacement from {j: 3, o: 6, t: 8, x: 1}?
0
Three letters picked without replacement from wwbbwqqbwwkq. Give prob of sequence bqw.
3/88
Calculate prob of sequence ppxu when four letters picked without replacement from {j: 1, p: 2, x: 3, v: 1, u: 4, c: 1}.
1/495
What is prob of sequence cx when two letters picked without replacement from {e: 2, n: 1, l: 9, x: 2, c: 3, z: 1}?
1/51
Two letters picked without replacement from {z: 4, i: 2}. Give prob of sequence iz.
4/15
Calculate prob of sequence vv when two letters picked without replacement from vvtv.
1/2
Two letters picked without replacement from {p: 1, b: 3, a: 3, i: 5}. Give prob of sequence ip.
5/132
Calculate prob of sequence xrxx when four letters picked without replacement from {x: 14, r: 5}.
455/3876
Two letters picked without replacement from {b: 3, q: 7, f: 3, i: 2}. Give prob of sequence ff.
1/35
Calculate prob of sequence gg when two letters picked without replacement from ggr.
1/3
Two letters picked without replacement from coocco. Give prob of sequence oo.
1/5
Four letters picked without replacement from {c: 2, k: 8, s: 5, t: 2}. Give prob of sequence kcck.
1/510
Calculate prob of sequence fw when two letters picked without replacement from {b: 5, f: 2, w: 11, i: 2}.
11/190
Four letters picked without replacement from arxaalrkarrrkurlrkk. Give prob of sequence lklr.
7/11628
What is prob of sequence jamk when four letters picked without replacement from azljkmj?
1/420
What is prob of sequence plka when four letters picked without replacement from {k: 4, n: 1, p: 1, r: 4, a: 1, l: 1}?
1/2970
Calculate prob of sequence wpr when three letters picked without replacement from {r: 2, w: 2, p: 9}.
3/143
Calculate prob of sequence wo when two letters picked without replacement from {a: 2, k: 5, j: 1, o: 6, w: 5}.
5/57
Two letters picked without replacement from qyq. Give prob of sequence yq.
1/3
Calculate prob of sequence na when two letters picked without replacement from {w: 1, k: 1, a: 1, n: 1, p: 1}.
1/20
Two letters picked without replacement from {n: 7, w: 2}. Give prob of sequence nw.
7/36
Calculate prob of sequence qi when two letters picked without replacement from uuahiqij.
1/28
What is prob of sequence aqaa when four letters picked without replacement from aqqqqaa?
1/35
Three letters picked without replacement from bllzwpbr. Give prob of sequence bpl.
1/84
What is prob of sequence uqfq when four letters picked without replacement from {q: 3, f: 6, u: 4}?
6/715
Four letters picked without replacement from {w: 4, t: 3, g: 2}. What is prob of sequence twgg?
1/126
Four letters picked without replacement from {p: 6, x: 2}. What is prob of sequence pxpp?
1/7
What is prob of sequence qeu when three letters picked without replacement from eqeeuqqqqbqbaqeq?
1/105
Two letters picked without replacement from {q: 4, z: 1, a: 3}. What is prob of sequence aq?
3/14
What is prob of sequence jj when two letters picked without replacement from {w: 1, o: 8, j: 2, e: 2, h: 1, k: 3}?
1/136
What is prob of sequence giii when four letters picked without replacement from iigiggggggi?
7/330
Calculate prob of sequence hmmh when four letters picked without replacement from {m: 5, h: 14}.
455/11628
What is prob of sequence nddw when four letters picked without replacement from ddnrdnnnww?
1/105
What is prob of sequence mty when three letters picked without replacement from {j: 1, t: 1, y: 2, c: 1, i: 2, m: 1}?
1/168
Three letters picked without replacement from {y: 7, n: 6}. What is prob of sequence yyn?
21/143
What is prob of sequence uunu when four letters picked without replacement from {u: 6, n: 8, l: 3}?
2/119
What is prob of sequence cn when two letters picked without replacement from nnnnccnncnnncc?
45/182
Calculate prob of sequence ddyy when four letters picked without replacement from yyddddddddddddyydddd.
8/323
Calculate prob of sequence ll when two letters picked without replacement from l | {
"pile_set_name": "DM Mathematics"
} |
(-6*sqrt(8) - sqrt(8)))))**2.
1621916/25
Simplify (2*(sqrt(50)/(-2*sqrt(10)) + 2 - (sqrt(30)/sqrt(54) + -5*sqrt(20)/sqrt(4)))*3*-6)**2.
21600*sqrt(5) + 117684
Simplify (sqrt(5) + 2)**2*-3 - (-3*sqrt(80) + sqrt(80) - sqrt(5)) - ((-3 + sqrt(125))**2 + -1*sqrt(5) + 0 + sqrt(5)).
-161 + 27*sqrt(5)
Simplify (-4 + 2 + -4 + (sqrt(432) + 1*sqrt(432)*-1)/sqrt(9))*-4.
24
Simplify (1*6*(sqrt(84)/(sqrt(108)/sqrt(9)) - ((sqrt(7) + sqrt(7) + -1)*1 + sqrt(7))))**2 + -5.
-144*sqrt(7) + 1039
Simplify (sqrt(231)/(sqrt(176)*-3)*-4)/(4*(sqrt(14)/(sqrt(32) - sqrt(2)) - sqrt(7) - (sqrt(7) - sqrt(315)/sqrt(5)))).
sqrt(3)/16
Simplify (-5*-6*(sqrt(68) + (2*sqrt(68) - sqrt(68)) + sqrt(68) - sqrt(68))*3)/((-1*(sqrt(8)*2 + sqrt(8)))/sqrt(2)*5)*2.
-24*sqrt(17)
Simplify 5 + -3 + (1 + (3*(0 + sqrt(208))*-2 + 3)**2)*6.
-864*sqrt(13) + 44990
Simplify ((3 + -1 + -4*(-3 + sqrt(468) + -2 + 4))*4)**2.
-4608*sqrt(13) + 120384
Simplify sqrt(33)/(sqrt(24)/sqrt(8)*5) + -2 + (sqrt(88)/(sqrt(8) - -6*sqrt(8)*5))**2 + 3 + -5.
-3833/961 + sqrt(11)/5
Simplify ((sqrt(56)/(sqrt(14)/(-3*sqrt(7))))/(sqrt(16)/(sqrt(4)*2)*-3) + -1)*2.
-2 + 4*sqrt(7)
Simplify (-5 + ((sqrt(140) + (sqrt(140) - (sqrt(140)*-2 - sqrt(140)) - sqrt(140))*4 + sqrt(140))/sqrt(10))/((sqrt(4032)*-1)/sqrt(4)))*-4.
14*sqrt(2)/3 + 20
Simplify ((sqrt(684) - 5*(-1 + sqrt(684)))*3)**2 - ((sqrt(76) + -4*-2*sqrt(76))/(sqrt(484) + -2*sqrt(484)))**2.
-2160*sqrt(19) + 11943702/121
Simplify ((-5*sqrt(396) + -4)**2*4 - ((sqrt(66) + sqrt(66)*2)*4 + sqrt(66))/((sqrt(150)*3 + sqrt(150) + sqrt(150) - sqrt(150)) + sqrt(150) - sqrt(6)))*-5.
-198320 - 115135*sqrt(11)/24
Simplify -3*(1*(((sqrt(1100) + sqrt(1100) + sqrt(1100) + 1)*-3 - ((sqrt(396) - 1*sqrt(396)) + 0)) + 0))**2*-1.
1620*sqrt(11) + 267327
Simplify (-3*(sqrt(1088) + 3*sqrt(1088)*-3)*-1 + 1 + (-4*(0 + sqrt(1088)) - sqrt(1088) - ((sqrt(1088) - 5*(0 + sqrt(1088)) - sqrt(1088)) + sqrt(1088))))**2.
-400*sqrt(17) + 680001
Simplify ((sqrt(119) + sqrt(119)*1)*-2 + 1*sqrt(119)*5)/(-2*(sqrt(1008) - sqrt(1008)*-5)).
-sqrt(17)/144
Simplify (((sqrt(280) + sqrt(280)*-2 - sqrt(280))*-2)/(sqrt(810)*-2))/(-1*((sqrt(324) + sqrt(324)*2)/sqrt(9))/sqrt(9)).
2*sqrt(7)/27
Simplify (4*1*sqrt(21) + (sqrt(189)/sqrt(3))/sqrt(3))/(3*((sqrt(56)/sqrt(4) + sqrt(14))/sqrt(2) + sqrt(7) - (sqrt(448) + 1*sqrt(448)))).
-5*sqrt(3)/39
Simplify (4 + sqrt(170)/(sqrt(10)*-2) + (sqrt(85) - (sqrt(85) - sqrt(85)*-1) - sqrt(85))/sqrt(5) + -1 + ((sqrt(136)*2 - sqrt(136))*4)/(sqrt(88)/sqrt(275)))**2.
105*sqrt(17) + 20861/4
Simplify (4*(sqrt(2880)*2 + sqrt(45) - sqrt(45))*-4)/(-6*-1*(sqrt(1089) + (sqrt(1089) - (sqrt(1089) + sqrt(1089)*3)))).
64*sqrt(5)/33
Simplify -2 + (((sqrt(136) - (sqrt(136) - (sqrt(136)*1 - sqrt(136)))*6) + (sqrt(136)*-2 + sqrt(136) - sqrt(136) - sqrt(136))*2)/(-2*sqrt(128)*-4))**2.
9/1024
Simplify (((2 + (sqrt(1200) + (4 + sqrt(1200) + 3 - sqrt(1200)))*-1)*5 + -4)*2)**2.
23200*sqrt(3) + 123364
Simplify (5 + -6*4*(((sqrt(833) - (1 + sqrt(833))) + 0 - (sqrt(833) - (sqrt(833) + (3 + sqrt(833)*1 + sqrt(833) - sqrt(833))) - sqrt(833))) + 4))**2.
93408*sqrt(17) + 1938553
Simplify (3*-3*sqrt(104) - sqrt(104) - 1*sqrt(104)*-1)/((sqrt(8) - (2*sqrt(288) + sqrt(288))) + sqrt(8) + sqrt(128) + -3*sqrt(128)).
3*sqrt(13)/8
Simplify (4*-1*(sqrt(110) - 1*sqrt(110))*4)/((sqrt(320)*-4 + sqrt(20))/(sqrt(32)/sqrt(4) - sqrt(2)))*1.
0
Simplify (sqrt(224)/sqrt(7) - -2*sqrt(2)*5)**2 - ((6*(sqrt(36) - sqrt(180)/sqrt(5)))/sqrt(2))**2.
392
Simplify (6*(-4*((sqrt(832)*4 + -3)*1 + -3 + 5) + 3))**2.
-64512*sqrt(13) + 7669476
Simplify (sqrt(1617)*1 + sqrt(33) - sqrt(33))/(sqrt(12)/sqrt(4)*5) + ((-1*sqrt(1584))**2*4 - (sqrt(55)/(-1*sqrt(5)) + 1*sqrt(11) + -4)).
7*sqrt(11)/5 + 6340
Simplify (-1*(5 + sqrt(432)*-1)*-6)**2*5.
-21600*sqrt(3) + 82260
Simplify -2 + -2*((sqrt(1584) + (-1 + (sqrt(1584) - sqrt(1584)*1))**2 + 3)*-2 + -3)*-3.
-144*sqrt(11) - 68
Simplify ((sqrt(420) + -4*(-1*sqrt(420) - sqrt(420)) + sqrt(420))/(1*sqrt(847)))/(-2*(sqrt(108) + 5*(sqrt(108)*2 - sqrt(108)))/sqrt(9)).
-5*sqrt(5)/66
Simplify ((sqrt(27) + 1)**2 + sqrt(75)*1 + 5 - (6*(sqrt(9)/sqrt(3) + sqrt(3))**2 + -5 + sqrt(3) + -2 + 4))*4.
-144 + 40*sqrt(3)
Simplify ((sqrt(605) + sqrt(605)*1 - sqrt(605)) + -4)**2*5 + 1 - (sqrt(15) - sqrt(30)/(sqrt(6)/sqrt(3)))/(sqrt(75) - sqrt(75)*-3).
-440*sqrt(5) + 3106
Simplify (3*((sqrt(2) - sqrt(22)/(sqrt(11)*3) - sqrt(20)/(sqrt(10) + sqrt(640))) + sqrt(126)/(sqrt(224)/sqrt(8))))**2.
1369/18
Simplify ((5*(sqrt(704) - 4*(sqrt(704) + -4)))**2 + (sqrt(110)/(sqrt(10)*-2) - -2*(1 + sqrt(11))))*-2.
-329604 + 38397*sqrt(11)
Simplify (2 + (sqrt(2592)*1*-2 - (0 + sqrt(1458)*3 - sqrt(1458))))**2.
-504*sqrt(2) + 31756
Simplify 3 + (-2 + -6*(sqrt(320) - 1*(sqrt(320) + 0 + sqrt(320)) - (-5 + 0 + sqrt(320)))*6)**2 + 1.
-209664*sqrt(5) + 1692008
Simplify 3*(((sqrt(288) + 1)*-1 + 2)**2 + sqrt(288) + sqrt(288) + (5 + -3 + sqrt(288) + sqrt(288))**2 + -1).
288*sqrt(2) + 4332
Simplify (sqrt(468)*-3 + 1 + sqrt(325))**2 - (-2*sqrt(117)*-4*-2)**2.
-27754 - 26*sqrt(13)
Simplify 2*-3*(((sqrt(144)*1)/sqrt(8))/sqrt(6) + -3 - (sqrt(324)/sqrt(192))/(sqrt(36)/sqrt(16))).
-3*sqrt(3) + 18
Simplify (-1*sqrt(36)/(-2*sqrt(147)))/((sqrt(288)/(sqrt(6)*-2))/((sqrt(132) + (sqrt(132)*2 - sqrt(132) - sqrt(132)))/sqrt(11))).
-sqrt(3)/7
Simplify 4*(1*sqrt(1260) + sqrt(1260) - sqrt(1260) - sqrt(140)*-1)/(6*(sqrt(7) + (sqrt(7) - -1*sqrt(847)))).
16*sqrt(5)/39
Simplify (-5*(1 + -1 + ((sqrt(33)*-1)/sqrt(3) - sqrt(11)) - (-1 + 4 + -1 + sqrt(704))))**2.
1000*sqrt(11) + 27600
Simplify (((sqrt(55)/(sqrt(44)/sqrt(4)) + -3)*1)**2 + (-5*(sqrt(80)/sqrt(4) - sqrt(20)))/((sqrt(144)/sqrt(3))/sqrt(12)))*-4.
-56 + 24*sqrt(5)
Simplify (-6*sqrt(180))/(sqrt(10) - (sqrt(10) - sqrt(30)/(3*sqrt(3)))) - (3 + 2 + (sqrt(450)*-3)**2).
-4055 - 54*sqrt(2)
Simplify (3*(-1 + ((sqrt(44) - -3*sqrt(704)) + -3*sqrt(1100))/((-1*sqrt(16)*-1)/(sqrt(324)*-1))))**2.
-324*sqrt(11) + 32085
Simplify 4*(((sqrt(425) - (sqrt(425) + 1)) + 5 - (-1*sqrt(425) + 2))**2 - (sqrt(1700) - (-3 + -2 + sqrt(1700)))*-2).
80*sqrt(17) + 1756
Simplify 3*(-2*sqrt(567) - (sqrt(63) + -5) - (-5 + (sqrt(7) - (-2 + sqrt(112) + sqrt(112)))))**2*2.
-1344*sqrt(7) + 8616
Simplify -1 + (((-2*sqrt(357)*3)/((2*sqrt(70))/sqrt(10)))/((sqrt(180)/(-2*sqrt(6)))/sqrt(10)*-4))**2.
149/4
Simplify ((-1*2*sqrt(24))/(2*(sqrt(12) + sqrt(432)) + sqrt(12)))**2 - (2 + (sqrt(2) - (-4 + sqrt(8))) + 1 + 1)**2.
-14842/225 + 16*sqrt(2)
Simplify -3 + ((2 + sqrt(7)*2)**2 - sqrt(7)) + sqrt(7)*-4 + 3 + ((sqrt(448) - (sqrt(448) + sqrt(448)*1))**2 - (4 + (0 + sqrt(7) - sqrt(7)))).
3*sqrt(7) + 476
Simplify (3*sqrt(1188)*-1*5)/(5*sqrt(48) + sqrt(3) - sqrt(27)/((sqrt(9) - sqrt(225)) + sqrt(9) + sqrt(9))).
-180*sqrt(11)/43
Simplify (-4*-4*(-2*sqrt(117) - sqrt(117))*-5)/((4*-1*sqrt(99) + sqrt(99) - sqrt(99))/(sqrt(891)*2)).
-1080*sqrt(13)
Simplify (-5*(-2 + -3 + sqrt(1573)*-2) - -4*5*-2*sqrt(1573)*5)**2.
-104500*sqrt(13) + 56785925
Simplify 4*(-4*((sqrt(162) + (sqrt(162) + -1)*2)**2 + sqrt(162) - sqrt(162)*-1*6) + -5)*-1.
-720*sqrt(2) + 23412
Simplify (sqrt(17) - (sqrt(425) + 3 + sqrt(425)) - (sqrt(85) - 2*sqrt(85))/sqrt(5))**2 + (0 + (sqrt(153) + -3 + -5 - sqrt(153)))**2 + -1.
48*sqrt(17) + 1160
Simplify -5*5*((-4*(sqrt(325) + -1 + sqrt(325) + sqrt(325)) - (2*sqrt(325) - sqrt(325))*5) + (sqrt(325) - (-5 + -2 + sqrt(325))) + sqrt(325)*-1 + -5)**2.
-2633400 + 27000*sqrt(13)
Simplify 5*((1*(-1 + sqrt(1700) - sqrt(1700)) - (-4*sqrt(1700) + -2)) + -2*3*((1*sqrt(1700))**2 + -1)).
-50965 + 200*sqrt(17)
Simplify -3 + ((3*sqrt(288))**2*-4 - sqrt(288) - ((sqrt(288) - (sqrt(288) + -3))*-2 + sqrt(288))) + 5.
-10360 - 24*sqrt(2)
Simplify (-3*sqrt(130)*3 + sqrt(130) + -1*sqrt(130)*5)/(5*(sqrt(10) + (sqrt(100)*1)/sqrt(10) - sqrt(90)/(sqrt(9) - sqrt(9)*-2))).
-39*sqrt(13)/25
Simplify (2*-6*sqrt(260)/(2*sqrt(10)))/(3*sqrt(288)*4).
-sqrt(13)/24
Simplify (1 + (sqrt(567) - (sqrt(567)*1 + 4) - (sqrt(567) + (sqrt(567) + -3)*6))**2 + -5 + 5)*5.
-8820*sqrt(7) + 139900
Simplify (2*(-2*-1*(sqrt(833) - sqrt(833)*1)*-4 - (0 + sqrt(833) + -2*sqrt(833)*1 + 2)))**2.
-112*sqrt(17) + 3348
Simplify -4*-1*(1 + sqrt(1900) + -1 + (-2 + sqrt(1900) + 1 - sqrt(1900))**2 - (((sqrt(209)*-1 - sqrt(209))/sqrt(11))**2 - (sqrt(133)/sqrt(7) + -4))).
-316 + 44*sqrt(19)
Simplify 4*((-2*sqrt(192)*2 - sqrt(192)) + sqrt(192) + | {
"pile_set_name": "DM Mathematics"
} |
(y). Calculate 9*a(w) + 2*o(w).
-w - 8
Let u(m) = 16 + 7*m + 3*m**2 + 1147*m**3 - 6 - 1151*m**3. Let j(o) = -3*o**3 + 2*o**2 + 5*o + 7. Give -7*j(f) + 5*u(f).
f**3 + f**2 + 1
Let q(s) = -s. Let i be q(-2). Let c(w) = -w**2 - w + 1. Suppose -43*h = -101 + 359. Let l(u) = u**3 - 4*u**2 - 3*u + 3. What is h*c(k) + i*l(k)?
2*k**3 - 2*k**2
Let d(x) = -2*x**3 - x**2 + 2*x. Let w(r) = 3*r**3 + r**2 - 3*r. Suppose 0 = -10*k + 12*k + 252. Let p = 192 + k. Let z = 69 - p. What is z*w(t) + 4*d(t)?
t**3 - t**2 - t
Let l(g) = 4*g. Let b be l(2). Let i be -1 - (-5)/(20/b). Suppose 0 = 15*v - v - 26*v - 48. Let s(r) = r. Let w(t) = 2*t**3 + 4*t - 2. Give i*w(x) + v*s(x).
2*x**3 - 2
Let z(l) = -4681*l**3 + 9*l + 3. Let b(q) = -7321080*q**3 + 14079*q + 4693. Calculate -3*b(n) + 4693*z(n).
-4693*n**3
Let j be (-6 - (-35)/7) + 5. Suppose -2*v + 4*r + 25 = -r, -r = -v + 11. Suppose j + v = -7*n. Let d(q) = 1. Let f(z) = 2*z + 3. What is n*d(c) + f(c)?
2*c + 1
Let w(l) = 7*l + 1. Let p(s) be the second derivative of 2*s**3/3 + s**2/2 - 109*s - 1. Determine -5*p(i) + 3*w(i).
i - 2
Let s(n) = -59*n**2 - 43*n + 8. Let k(d) = -20*d**2 - 15*d + 3. Determine -8*k(z) + 3*s(z).
-17*z**2 - 9*z
Let r(i) = -4*i + 6. Let d(t) be the first derivative of -9*t**2/2 - 19*t - 215. Let m(x) = 19*x + 42. Let q(a) = -13*d(a) - 6*m(a). Give -6*q(b) - 5*r(b).
2*b
Let q(y) = -2*y**3 + y**2 + 5*y - 3. Suppose 3 - 18 = -5*f. Let i(m) = -m**3 + 4*m - 2. Suppose j + b + 2 = 0, -34*b - 2 = j - 32*b. What is f*i(r) + j*q(r)?
r**3 - 2*r**2 + 2*r
Let d(r) = -5*r**2 + 2*r - 6*r - 186 + 375 - 182 - 2*r**2. Let x(w) = w**2 + w - 1. What is d(t) + 4*x(t)?
-3*t**2 + 3
Let t(c) = 44*c**3 + 29*c**2 + 33*c - 13. Let l(y) = -25*y**3 - 15*y**2 - 18*y + 7. What is 11*l(w) + 6*t(w)?
-11*w**3 + 9*w**2 - 1
Let t = -8 + 4. Let x(s) = -57*s**2 + 16886*s**3 + 51*s**2 + 4*s - 16883*s**3 + 4. Let u(n) = -2*n**3 + 7*n**2 - 5*n - 5. Give t*u(r) - 5*x(r).
-7*r**3 + 2*r**2
Let y = 10 + -7. Let g(i) = -20*i**2 + 4*i**y + 20*i**2 + 14*i - 14. Let n(o) = -o**3 - 3*o + 3. Let a = -4444 + 4447. Give a*g(j) + 14*n(j).
-2*j**3
Let d = 238 + -233. Let t be (69/46)/(1/4 - 1). Let y(x) = 2*x**3 - 5*x - 11. Let w(u) = u**3 - 2*u - 5. Give d*w(i) + t*y(i).
i**3 - 3
Let y(s) = 4*s - 2*s - s. Suppose 5*b + 35 = 5*x + 50, -10*x = 5*b - 30. Let j(m) = -7*m. Determine b*y(t) + j(t).
-3*t
Let g(z) be the third derivative of z**4/8 + z**2. Let x = 91950 + -91930. Let n(d) = -d. Determine x*n(q) + 5*g(q).
-5*q
Let b(d) = -1546*d - 24. Let t(k) = 2318*k + 38. Give 8*b(h) + 5*t(h).
-778*h - 2
Let u(c) = c**3 + 2*c**2 + 2*c - 1. Let l(f) = 18*f**3 - 9*f**2 - 6*f + 5. Give l(t) + 4*u(t).
22*t**3 - t**2 + 2*t + 1
Let u(o) = -o**2 + o + 1. Let s(p) = 100*p + 3. Let r(x) = x**2 + 450*x + 13. Let h(d) = 2*r(d) - 9*s(d). Calculate 4*h(n) + 4*u(n).
4*n**2 + 4*n
Suppose 3 = 4*o + 2*t + 25, 3*o - t = -14. Let f(r) = r**3 + 5*r**2 - 2*r + 3. Let m(j) = 2*j**3 + 11*j**2 - 5*j + 6. What is o*f(u) + 2*m(u)?
-u**3 - 3*u**2 - 3
Let o(f) = 15. Let p(s) = -44 - 37 - 2*s**3 - s**3 + 80 + 2*s**3. Determine 2*o(n) + 30*p(n).
-30*n**3
Let q(k) = 6*k + 8. Let s be ((-56)/(-14))/((-8)/(-30)). Let c be (-7 - (-87)/s)*5. Let y(x) = -2*x - 3. Calculate c*q(r) - 17*y(r).
-2*r + 3
Let w(t) = -26 + 25 - 2*t + t. Let z(l) = 13*l + 10. Determine -18*w(r) - 2*z(r).
-8*r - 2
Let u(w) = w**2 + w - 1. Let m(x) = x**3 - 3*x**2 + 1. Let f = 4761 - 4762. Determine f*m(k) - 3*u(k).
-k**3 - 3*k + 2
Let n(q) = -1. Suppose -3*f + 4*j = 9, -3*f + j - 5 - 4 = 0. Let b(h) = 2*h**2 + 9. Let y(v) = -7*v + 6. Let t be y(1). Calculate f*n(z) + t*b(z).
-2*z**2 - 6
Let l = 628 + -462. Let x(p) = -153*p + 334*p - l*p. Let b(m) = -2*m - m - 4*m. Give -13*b(r) - 6*x(r).
r
Let v(s) = -31*s**2 + 2*s. Let c(h) = 123*h**2 - 9*h + 2. Calculate -2*c(t) - 9*v(t).
33*t**2 - 4
Let c(h) = 5*h + 13. Let p(l) = -9*l - 25. Let z(u) = 2*u**3 + 5*u**2 - 11*u - 1. Let a be z(-4). Let y be 12/a*85/(-34). Give y*p(f) + 11*c(f).
f - 7
Let u(j) = j**3 - 4*j**2 + 4*j. Suppose 4*d = -d + 20. Let m(v) = -5*v**3 - 11*v - v + 5*v**2 + 4*v**3 + 7*v. Calculate d*m(i) + 5*u(i).
i**3
Let d(j) = -j - 56. Let i(r) = -867*r**2 + 4*r + 114. Calculate -2*d(b) - i(b).
867*b**2 - 2*b - 2
Let u(g) = 6*g**2 - 5*g - 101. Let h(v) = 28*v**2 - 26*v - 499. Give 2*h(t) - 11*u(t).
-10*t**2 + 3*t + 113
Let j = -6392 - -6389. Let a(b) = 5*b**3 - 3*b**2 - 3*b + 16. Let t(n) = -4*n**3 + 2*n**2 + 2*n - 15. Determine j*t(y) - 2*a(y).
2*y**3 + 13
Let y(h) = -10*h**3 - h**2 - 4*h - 7. Let q(s) = 20*s**3 + 2*s**2 + 10*s + 15. Give 2*q(v) + 5*y(v).
-10*v**3 - v**2 - 5
Let q(g) = -22*g - 7. Let m(p) = -66*p - 20. Let i be 9 - (15 - (-14 + 13))*2/8. Give i*m(t) - 14*q(t).
-22*t - 2
Let g(l) = l**2 + 4*l - 31. Let w(o) = -o**2 - 5*o + 41. Let z(h) = 4*g(h) + 3*w(h). Let y(i) = 31*i**2 + 6*i - 6. What is -y(s) + 6*z(s)?
-25*s**2
Let m(k) = 819*k**3 - 21*k**2 - 14*k. Let i(p) = 410*p**3 - 12*p**2 - 8*p. Calculate 7*i(b) - 4*m(b).
-406*b**3
Let y(w) = w**2 + 3*w - 7. Let o(f) = 4*f + 3. Let b(c) = -3*c - 106. Let q be b(-37). Let v(n) = n. Let g(s) = q*v(s) - o(s). Calculate -7*g(z) + 3*y(z).
3*z**2 + 2*z
Let p(s) = 66*s**2 - 15*s + 6. Let y(o) = -331*o**2 + 76*o - 33. Give 11*p(v) + 2*y(v).
64*v**2 - 13*v
Let l(n) = -4219*n + 17. Let q(z) = -844*z + 3. Give 2*l(v) - 11*q(v).
846*v + 1
Let p(w) = -5*w**2 - 25*w + 4. Let b(x) be the third derivative of -x**5/60 + x**4/24 + x**3/6 + 209*x**2 - 11. What is -4*b(z) + p(z)?
-z**2 - 29*z
Let j(c) = -13*c**2 + 25*c - 276. Let v(a) = -6*a**2 + 12*a - 138. What is 5*j(l) - 11*v(l)?
l**2 - 7*l + 138
Let q = -2 + -2. Let i(y) be the first derivative of 7*y**4/2 + 4*y**3/3 + 2*y**2 + 1006. Let z(d) = 13*d**3 + 3*d**2 + 3*d. What is q*z(t) + 3*i(t)?
-10*t**3
Let f be (6/9)/(2/(-36)). Let w be (-28)/(-6)*18/f. Let b(r) = -r**3 + 4*r**2 - 4*r - 4. Let c(a) = -3*a**3 + 7*a**2 - 7*a - 7. Calculate w*b(d) + 4*c(d).
-5*d**3
Let k(v) = v**2 + 8. Let l be k(-6). Let p(q) = -122*q**2 + l*q**2 + 39*q**2 + 42*q**2. Let d(u) = u**2. What is 2*d(g) - p(g)?
-g**2
Let t(p) = 56*p**2 - p. Let w(k) = -55*k**2 + k. Calculate 6*t(u) + 5*w(u).
61*u**2 - u
Let o(x) = 421*x**2 + 2*x + 2. Let r(d) = -843*d**2 - 5*d - 7. Calculate -5*o(p) - 2*r(p).
-419*p**2 + 4
Let k(t) = -5*t**2 - 9. Let y(s) be the first derivative of -11*s**3/3 - 19*s + 1586. Determine 5*k(o) - 2*y(o).
-3*o**2 - 7
Let s(f) = 2*f**3 + 8*f - 7. Suppose 1927 = 33*w + 1828. Suppose -5*h = 5*a - 60, 4 = h - 0*h. Let x(t) = -t**3 - 3*t + 2. What is a*x(n) + w*s(n)?
-2*n**3 - 5
Let k be (-9 - (-85)/10)/((-5)/(-110)). Let f(v) = -1. Let t(d) = 11*d + 11. What is k*f(y) - t(y)?
-11*y
Suppose 2*f + 4*y = 24, 2*f + 2*y + 3*y - 29 = 0. Let b(n) = 21*n**2 - 10*n + 9*n - 27*n**f - 2*n**3. Let r(l) = -l**3 - 5*l**2 - l. Determine 5*b(p) - 6*r(p).
-4*p**3 + p
Let k(t) = 2*t - 4. Let i(m) = -1. Suppose -7*z = -4*z - 4*g + 5, -5*z - 5*g + 15 = 0. Determine z*k(x) - 5*i(x).
2*x + 1
Let k(r) = -6 - 26*r + 36*r + 0*r**2 - 1 - r - 2*r**2. Let j(l) = -l**2 + 8*l - 6. What is 5*j(t) - 4*k(t)?
3*t**2 + 4*t - 2
Let m(z) = 3 - 45*z - 2 + 17*z + 12*z + 15*z. Suppose 0 = 3*y + 2*j - 5, 0 = y - 0*y + 4*j - 5. Let u(t) = -t**3 + t - 1. Determine y*u(g) + m(g).
-g**3
Let u(g) = -2*g**2 - 2*g - 1. Let w(o) = 25*o**3 + 4*o**2 - 2*o + 2. Determine 2*u(i) + w(i).
25*i**3 - 6*i
Let o(i) = 5*i**3 - 2*i**2. Let c(s) = 51*s**3 - 21*s**2. Suppose 0 = 5*l + 38*g - 33*g - 10, -28 = -2*l + 4*g. Give l*c(h) - 63*o(h).
-9*h**3
Let p(g) = 2*g**3 - g + 2. Let j = -1035 - -990. Let x = 34 + j. Let y(u) = 6*u**3 - 3*u + 6. Calculate x*p(t) + 4*y(t).
2*t**3 - t + 2
Let o(p) be the second derivative of -p**5/20 - p**3/2 - p**2 + 12*p. Let a(b) = -b**3 - 4*b - 3. Let j = 590 - 594. Give j*a(x) + 5*o(x).
-x**3 + x + 2
Let y(i) = -i**3 - 59*i**2 + 4*i - 9. Let b(f) = 2*f**3 + f**2 + 2*f - 2. What is 2*b(g) - y(g)?
5*g**3 + 61*g**2 + 5
Let r(y) = -38*y - 142. Let f(l) = 20*l + 72. Calculate 11*f(s) + 6*r(s).
-8*s - 60
Let k(z) = z. Let l = 5907 + -5911. Let x(d) = -5*d + 27. Give l*k(n) - x(n).
n - 27
Let z(n) = 3*n - 3. Let r(f) = 19*f. What is 3*r(b) - 6*z(b)?
39*b + 18
Let o(d) = d + 1. Let s(t) = -t**3 - 92*t**2 - 173*t + 628. Let b be s(-90). Let g(w) = -8*w**2 - 11*w - 11. Calculate b*g(l) - 22*o(l).
16*l**2
Le | {
"pile_set_name": "DM Mathematics"
} |
-4. Suppose 4*m = 5*m + y. Let b = 2 - m. List the prime factors of b.
3
List the prime factors of 8/14 - (-135)/21.
7
Let c(t) = -t**2 - 6*t - 5. Let i be c(-4). Suppose i*v + 0*v + 120 = 4*s, s + 200 = -5*v. Let h = -27 - v. List the prime factors of h.
13
Let t be 1 - 0 - 6/(-6). Suppose 0*b = -t*b + 2. Suppose -3 + b = -x, -5*r - 4*x = -23. List the prime factors of r.
3
Suppose -2*n - n = -114. Suppose -2*q = -4*m + n, -2*m + 3*m - 7 = q. List the prime factors of m.
2, 3
Let p(a) be the third derivative of -a**5/40 + a**4/8 - a**3/3 - 4*a**2. Let u(b) be the first derivative of p(b). List the prime factors of u(-3).
2, 3
Suppose 9*p + 352 = 11*p. What are the prime factors of p?
2, 11
Suppose -3*w - 15 - 18 = 0. Let d = w - -20. Suppose -3*f + d - 3 = 0. What are the prime factors of f?
2
Let p = 11 + -13. List the prime factors of (1 - p)*(-111)/(-9).
37
Let n = -54 + 127. What are the prime factors of n?
73
Let z(p) = -p + 30. List the prime factors of z(13).
17
Suppose -116 = -2*z - l, -2*z + 140 = -l - 4*l. List the prime factors of z.
2, 3, 5
Suppose -85 = r - 2*r + 3*t, 3*r = -5*t + 283. List the prime factors of r.
7, 13
Let d(m) = 4*m**2 + 25. List the prime factors of d(6).
13
Let z(s) = 3*s. Let h be z(-1). Suppose -y = -5, -y = -m - 4*m - 10. What are the prime factors of -24*(m - (h - -3))?
2, 3
Suppose v - 4*v - g + 11 = 0, -5*v = 3*g - 13. Suppose -3*u - 3*y + 12 = -u, -v*u - y + 30 = 0. What are the prime factors of u?
2, 3
Let m(y) = y**3 + 8*y**2 - 5*y - 7. What are the prime factors of m(-8)?
3, 11
Suppose -33 = -4*o - 5*s, 13 = -2*o - 3*s + 32. Let w be o + 0 + 4 + -1. Suppose z = w*z - 12. What are the prime factors of z?
3
Suppose j + 5*t = -26, -j + 3*t = -0*t - 14. List the prime factors of 2*3 - (j - -2).
5
Let t be (-7)/(-21) + (-10)/(-6). Suppose 5*w + 5*h = 30, -5*h = -t*w - w + 58. List the prime factors of w.
11
Let b = -9 - -18. Suppose 4*z - 5*u - 23 = -0*u, -3*u = -2*z + 11. Let y = z + b. What are the prime factors of y?
2
List the prime factors of (-1)/(-4) + 1029/28.
37
Let j = 16 - -6. List the prime factors of j.
2, 11
Suppose i - 4*a = 3 + 13, -4*a = 20. Let p = 5 - i. Suppose -x - 4*x - 18 = -2*d, -d = -2*x - p. List the prime factors of d.
3
Suppose -17 = d - 5*b, -3*d + 4*b = 9*b + 31. List the prime factors of 37 - d/8*-2.
2, 17
Suppose 2*u - 6*u = -140. What are the prime factors of u?
5, 7
Suppose 0 = 9*x - 6*x + 3. What are the prime factors of -1 + x - 0 - -27?
5
Suppose -2*n + 62 = a, -3*a + 53 = 2*n - 145. Let z = a + -29. What are the prime factors of z?
3, 13
Let z = 3 + -1. Suppose -17 = h - z*h - 5*b, 0 = h + 4*b - 13. List the prime factors of (2/h)/(2/(-33)).
11
Let x = 22 + -12. What are the prime factors of x?
2, 5
Let q be 108/(-15) - (-2)/10. Let w = 5 - 3. Let v = w - q. What are the prime factors of v?
3
Suppose w - 110 = 125. What are the prime factors of w?
5, 47
Suppose 1 = -0*p - p. Let o be p/((0 + -1)/(-16)). Let q = o - -30. List the prime factors of q.
2, 7
Let g be (5 - 3)/(1/2). Suppose -g*j = j - 25. Suppose 35 - 1 = 3*d - 5*q, -j*d + 68 = 3*q. List the prime factors of d.
13
Let p(q) = q. Let m(u) = -12*u + 1. Let d(o) = m(o) + 4*p(o). Let w be d(-2). Suppose -3*t = 5*k - w - 43, 2*k = -4*t + 10. What are the prime factors of k?
3, 5
Let x = -34 + 66. Let c = x + -19. What are the prime factors of c?
13
Let n = 7 + -4. Let h be (-26)/(-2 - (n - 3)). What are the prime factors of h + 3/(6/4)?
3, 5
Suppose 5*m = 8 + 7, -2*m + 9 = c. Suppose c*j = 6*j - 39. Suppose -q - j = -2*q. What are the prime factors of q?
13
Let u be ((5 - 2) + -4)*2. Let k = u - -23. Suppose k = 4*j - 19. What are the prime factors of j?
2, 5
Let h be (-2 - (35 - -2)) + -1. Let s = -32 - -20. List the prime factors of (s/5)/(12/h).
2
Let x(m) = m**3 + 3*m**2 + 3*m + 1. Let c be x(-2). Suppose -1 - 7 = -4*u. What are the prime factors of u + 21/3 + c?
2
Suppose -5*a + 565 = 3*s + 120, a = 5*s + 117. What are the prime factors of a?
2, 23
Let v = -35 + 74. Let l(q) = -9*q + 9. Let r be l(4). Let b = r + v. List the prime factors of b.
2, 3
Let f(r) = r**3 - 6*r**2 + 5*r + 4. Let g be f(5). Suppose -5*c + m + 103 = 2*m, -82 = -g*c - m. List the prime factors of c.
3, 7
Let v(l) = l**2 - 5*l + 21. What are the prime factors of v(7)?
5, 7
Suppose 2*t - 2 = 3*o + 30, 5*o + 60 = 5*t. List the prime factors of (-6)/(-24) - 110/o.
2, 7
Let t(s) = -s**3 - s**2 + 3. Let f be t(0). Suppose w - 2*a = -a + 3, f*w - 9 = 2*a. Suppose -w*g + 24 = -0*g - 2*j, -3*j = 0. What are the prime factors of g?
2
Let t(p) = -p**2 - 7*p. Let n be t(-7). Suppose -5*z + 5 = 5*a, 2*z + 0 + 2 = -4*a. Suppose n = l - z. List the prime factors of l.
3
Let b be -2 - (-15 + -1 + 2). Let j = b - 4. List the prime factors of j.
2
Let d(l) = -l**3 - 2*l**2 + 5*l + 4. Suppose -2*j + j - 3 = 0. Let t be d(j). Let w = t - -10. What are the prime factors of w?
2
Let s = -152 + 251. List the prime factors of s.
3, 11
Suppose 110 + 105 = 5*g. List the prime factors of g.
43
Suppose -4*g = 13 - 5, -g = 3*k - 13. Let o = 36 - 17. Suppose 0 = -5*n - 7*q + 4*q + 47, -k*n = -4*q - o. What are the prime factors of n?
7
Let m = -137 - -213. Suppose -10 + m = 2*g. What are the prime factors of g?
3, 11
Let d = 54 - 0. Suppose d = 4*v + 14. List the prime factors of v.
2, 5
Suppose -2*j - 1 = -i, 0 = -4*j - 3*i - i - 8. Let b be j/(-2) + (-21)/(-6). What are the prime factors of (b/6)/(1/12)?
2
Suppose 2*x - 3*v + 0*v - 19 = 0, 2*x = -5*v - 5. List the prime factors of x.
5
List the prime factors of (2/(-4))/((-3)/492).
2, 41
Let y be 5 + 2*(3 - 4). Suppose 0 = -4*j + 13 + y. Suppose -t + j = k - 2, -20 = -5*k. What are the prime factors of t?
2
Let a be 1*(-11 + -3) - -4. List the prime factors of (12/a)/(18/(-420)).
2, 7
Suppose -3*d + 0*d + 9 = 0. Suppose 2*v - d*v + 14 = 0. What are the prime factors of v?
2, 7
Let m(c) = c - 13. Let u be m(-10). Let n = u + 63. What are the prime factors of n?
2, 5
Let g(f) = 11*f - 11. What are the prime factors of g(5)?
2, 11
Let g(x) = x**2 - 6*x - 2. Let b be 22 - (-1*3)/(-3). Suppose -5*c + 2*c + b = 0. What are the prime factors of g(c)?
5
Let q(t) = t**3 + 6*t**2 + 2*t + 4. Let y = 1 + -6. List the prime factors of q(y).
19
Suppose -i + 3400 = 16*i. What are the prime factors of i?
2, 5
Let s(w) = -w**3 + 4*w**2 - 2*w - 3. Let d be s(3). Suppose 35 + d = t. Suppose -3*n + t = 2. What are the prime factors of n?
11
Let v be -2 + 1 + 17*1. Let h be (-1 + 2/(-4))*4. Let z = v + h. What are the prime factors of z?
2, 5
List the prime factors of 10/(-15) - (-23)/3.
7
Suppose 5*d + 165 = 3*g, -3*g + g - 2*d = -94. List the prime factors of g.
2, 5
Suppose 0 = 3*u - u - 66. Suppose -3*y + u = -0*y. List the prime factors of y.
11
Suppose -3*d - 50 = -2*f, -5*d + 10 = 5*f - 165. What are the prime factors of f?
31
Let c(m) = m + 5. Let y be c(0). Suppose -3*k - 28 = -y*k. List the prime factors of k.
2, 7
Let m = -10 + 21. Suppose -4*t - 5 - m = 0, -5*t = 2*y + 14. Suppose u + y = 11. What are the prime factors of u?
2
Let l be (-6)/24 - (-42)/8. Let t(w) = -2 + 4*w**2 + w + 2*w**2 - l*w**2 + 1. List the prime factors of t(2).
5
Let v = -28 + 31. Suppose -3*h + v*o = -h - 115, -4*h + 228 = -4*o. List the prime factors of h.
2, 7
List the prime factors of -1 + 218 + (-2 - (-2 - -1)).
2, 3
Suppose 9*d - 30 = 8*d. Let v = -35 + 14. Let r = v + d. List the prime factors of r.
3
What are the prime factors of 2 + 74 - -4 - 4?
2, 19
Let s(b) = -b**3 + 7*b**2 - 4*b - 4. List the prime factors of s(6).
2
Let z be 67 - 2*(-12)/(-8). Let o = 94 - z. List the prime factors of o.
2, 3, 5
Let z = 226 - 86. List the prime factors of (3/2)/(21/z).
2, 5
What are the prime factors of (674/10)/(-6 + (-155)/(-25))?
337
What are the prime factors of ((-5)/10)/((-1)/50)?
5
Let o = -16 + 27. What are the prime factors of o?
11
Let y(d) = d**2 - 3*d + 4. List the prime factors of y(4).
2
Let f be 505/55 + 4/(-22). Let j(r) = r + 6. What are the prime factors of j(f)?
3, 5
Let n = 50 + -27. List the prime factors of n.
23
What are the prime factors of (-4)/((-8)/42) + 2?
23
Suppose -5*x - j = -160 - 14, x + 2*j - 33 = 0. Let p = -21 + x. List the prime factors of p.
2, 7
Let q(c) = 2*c + 6. List the prime factors of q(5).
2
Suppose | {
"pile_set_name": "DM Mathematics"
} |
o(v). Give s(b(m)).
250*m**2
Let x(j) be the second derivative of -5*j**3/6 - 106*j + 2. Let l(c) = 23*c + 1. Determine x(l(y)).
-115*y - 5
Let f(k) = -9*k. Let c(x) = -80*x. Let r(l) = -4*c(l) + 35*f(l). Let q(z) be the third derivative of 0*z**3 + 0 - 1/24*z**4 + 0*z + 3*z**2. Calculate r(q(n)).
-5*n
Let k(q) = 34*q. Let n(h) = -2659*h**2. What is n(k(i))?
-3073804*i**2
Let i(o) = 3*o**2. Let v(q) = 2495 - 208*q**2 - 2495. Determine v(i(j)).
-1872*j**4
Let l(q) = -2*q**2 - 1. Let c(g) = -2*g. Let s(o) = 2*o. Let n(r) = 3*c(r) + 2*s(r). Calculate l(n(u)).
-8*u**2 - 1
Let k(p) = -23*p + 28. Let f(s) = -10*s + 12. Let n(o) = -14*f(o) + 6*k(o). Let d(b) be the second derivative of 16*b**3/3 - b. What is n(d(r))?
64*r
Let j(r) = 14*r**2. Let m(u) = 24*u + 23*u + 19*u - 67*u. Determine j(m(n)).
14*n**2
Let k(r) be the third derivative of -r**7/1260 + 31*r**4/24 - 37*r**2. Let l(s) be the second derivative of k(s). Let f(v) = -v - 3. What is l(f(z))?
-2*z**2 - 12*z - 18
Let t(q) = 37033*q**2. Let w(b) = 6*b**2. Determine w(t(p)).
8228658534*p**4
Let x(c) = 37*c. Let l(g) = 431*g**2 + g - 5. Give l(x(q)).
590039*q**2 + 37*q - 5
Let k(b) = -10*b - 7. Let c(y) = 5*y + 3. Let g(p) = 9*c(p) + 4*k(p). Let l(u) = 6*u - 8. Let a(v) = v - 1. Let n(i) = 8*a(i) - l(i). Give n(g(r)).
10*r - 2
Let u(p) = -24*p. Let d(z) = z + 1. Let h(o) = -8*o - 7. Let c(f) = -f**2 - 14. Let l be c(0). Let m(s) = l*d(s) - 2*h(s). Calculate m(u(b)).
-48*b
Let y(n) = -12*n - 27*n + 3*n. Let j(c) = -7*c**2. Give j(y(d)).
-9072*d**2
Let w(x) = 11*x. Let f(u) = -6259*u**2. Give w(f(n)).
-68849*n**2
Let c(z) = -3*z. Suppose -5*p + 2 = -8. Let q be 9/(27/2)*(2 - -1). Let o(u) = -2*u**2 + 3*u**2 + 3*u**p - q*u**2. What is o(c(j))?
18*j**2
Let d(j) = 12*j**2 - 14*j**2 + 10*j**2 - 43 + 43. Let h(w) = 5*w. Let m(f) = 9*f. Let a(q) = 7*h(q) - 4*m(q). Give a(d(n)).
-8*n**2
Suppose 4*j + 4*a - 14 - 2 = 0, -16 = -j - 4*a. Let m(q) = 0*q**2 + j*q**2 - 4*q**2. Let f(s) be the second derivative of -s**4/6 + s. Determine m(f(n)).
-16*n**4
Let l(y) = -5890*y. Let v(i) = -2*i. Give v(l(m)).
11780*m
Let j(v) be the first derivative of -17*v**2/2 + 1. Let d(i) be the first derivative of -i**2 + 123. Determine d(j(b)).
34*b
Let m(w) = w + 7. Suppose 27 = 3*i + 69. Let v(c) = -1. Let u(g) = i*v(g) - 2*m(g). Let f(j) = -5*j**2. Determine f(u(n)).
-20*n**2
Let y(z) = -2462*z**2. Let r(m) = -47*m**2. Calculate r(y(t)).
-284887868*t**4
Let z(h) = 4*h. Let o(d) = -7693*d**2. Give o(z(g)).
-123088*g**2
Let r(u) = 5*u. Suppose -4*k - 3*v + 107 = 0, 2*k + 0*v = 3*v + 67. Let q(z) = -k*z - 1 + 1 + 26*z. Give r(q(o)).
-15*o
Let u(d) be the second derivative of 0 - 1/6*d**3 + d + 0*d**2. Let z(i) = -383*i + 764*i - 379*i. Give u(z(p)).
-2*p
Let x(o) = 2*o + 333. Let w(h) = -4*h + 4. Let r(v) = -11*v + 10. Let a(u) = 2*r(u) - 5*w(u). What is x(a(f))?
-4*f + 333
Let m(f) = -2*f. Let p(x) = -533*x - 545*x - 22 - 29 + 51. Calculate p(m(t)).
2156*t
Let d(k) = -k + k + 15 - 2*k - 15. Let j(m) be the first derivative of -10*m**3/3 + m + 2. Let w(l) be the first derivative of j(l). Give d(w(c)).
40*c
Let y be (0*3/12 - -2) + 53. Let l(c) = 11*c - 55 + y. Let x(m) = -m. Calculate l(x(u)).
-11*u
Let g(h) = -3*h**2. Let i(p) be the second derivative of p**4/12 + 11*p**3/2 + 204*p. Determine g(i(q)).
-3*q**4 - 198*q**3 - 3267*q**2
Let w(q) = 3*q**2. Let m(z) = 44212*z**2 - 1. Give m(w(u)).
397908*u**4 - 1
Let b(v) = -2*v**2. Let s(m) = 13*m. Let r(u) = -u**2 - 24*u. Let q(k) = 2*r(k) + 5*s(k). Calculate b(q(o)).
-8*o**4 + 136*o**3 - 578*o**2
Let q(z) = -802*z**2 + 9*z. Let o(m) = 8*m. Determine o(q(f)).
-6416*f**2 + 72*f
Let j(y) = -y**2. Let h(w) = 319310*w**2 + 1. Give h(j(a)).
319310*a**4 + 1
Let p(n) be the third derivative of -3*n**4/8 + 5*n**2 + 5. Let u(c) = -9*c. Calculate p(u(a)).
81*a
Let b(x) = -x**2. Suppose -27*v + 40 = -23*v - 4*r, 0 = -3*v + 5*r + 30. Let t(j) be the second derivative of 1/2*j**3 + 0 + 0*j**2 - v*j. Determine b(t(p)).
-9*p**2
Let h(v) be the first derivative of 5 + 921*v**2 + v**3 - 921*v**2. Let m(g) = 7*g - 5. Let t(n) = 3*n - 2. Let f(a) = -4*m(a) + 10*t(a). Calculate f(h(b)).
6*b**2
Let r(z) = 3*z - 2*z + 0*z + 2*z. Let d(s) = -2*s + 6. Let a(h) be the third derivative of h**3/6 - 12*h**2. Let x(t) = 6*a(t) - d(t). Give r(x(o)).
6*o
Let p(a) = -3*a + 0*a + 3*a + 3*a**2. Let m = 33 - 31. Let q(n) = 2713*n - 4*n**m - 2713*n. Determine p(q(t)).
48*t**4
Let i(z) be the first derivative of 13*z**2/2 - 56. Let w(m) = -8*m**2. Determine w(i(b)).
-1352*b**2
Let h(u) = 206*u. Let v(p) = 5*p. Let n(q) = -h(q) + v(q). Let l(f) = 6*f**2. What is l(n(m))?
242406*m**2
Let h(p) be the third derivative of p**5/30 + 238*p**2. Let g(t) = 5*t**2. What is h(g(r))?
50*r**4
Let m(l) = -12*l**2. Let w(j) = -9*j + 59. Determine m(w(i)).
-972*i**2 + 12744*i - 41772
Let i(t) = 2*t - 2405. Let u(x) = -12*x**2. Determine i(u(f)).
-24*f**2 - 2405
Let f(u) = 6 - 26 - 6*u + 10 + 8. Let k(j) be the third derivative of j**4/12 - 7*j**2. What is k(f(n))?
-12*n - 4
Let s(m) be the first derivative of -5/2*m**2 + 15 + 0*m. Let r(k) = 7*k. What is s(r(q))?
-35*q
Let d(i) = -10*i**2. Let j(x) = 24*x**2 + 8. Let l(q) = 3*q**2 + 3. Let g(m) = -j(m) + 2*l(m). Calculate d(g(y)).
-3240*y**4 - 720*y**2 - 40
Let b(m) be the third derivative of -m**6/180 - 40*m**3/3 + 74*m**2. Let g(p) be the first derivative of b(p). Let y(i) = 0 - 28*i**2 + 0. What is g(y(x))?
-1568*x**4
Let a(s) = s. Let n(q) = 4*q - 31. Let z be n(19). Let p(u) = z*u**2 - 5222 + 5222. Determine p(a(r)).
45*r**2
Let y(z) = 2696 - 2696 - 2*z. Let x(a) = 165*a**2. Determine x(y(u)).
660*u**2
Let m(b) = 177*b**2. Let w(k) = 20*k**2 + 16*k - 16. Let l(n) = 4*n**2 + 3*n - 3. Let d(v) = -16*l(v) + 3*w(v). What is m(d(j))?
2832*j**4
Let r(l) = l. Let n(a) = -3*a - 1. Let j(i) = -12*i - 7. Let v(p) = 6*j(p) - 22*n(p). Calculate r(v(o)).
-6*o - 20
Let q(k) = -k. Let z(t) be the first derivative of 11*t**5/120 - 14*t**3/3 + 10. Let f(o) be the third derivative of z(o). Give q(f(m)).
-11*m
Let z(l) = -7*l + 6*l + 5*l. Let w(t) be the first derivative of -t**2 + 602. Give z(w(h)).
-8*h
Let q(u) = -3*u. Let z(s) be the first derivative of 4*s**3/3 - 5*s - 38. Calculate z(q(f)).
36*f**2 - 5
Let c(k) = -28*k**2 + 22*k + 11. Let p(l) = -10*l**2 + 8*l + 4. Let t(q) = -4*c(q) + 11*p(q). Let b(m) = -4*m - 22. Calculate b(t(h)).
-8*h**2 - 22
Let n(f) = -7 + 2 + 23*f**2 + 5. Let s(r) = -r + 2. Let z(w) = 1. Let i(v) = s(v) - 2*z(v). Determine i(n(b)).
-23*b**2
Let z(c) = 3*c**2. Let h(x) be the second derivative of x**4/6 - 11*x**2/2 - 3*x. Let f(i) be the first derivative of h(i). Determine f(z(p)).
12*p**2
Let h(t) be the second derivative of t**4/12 - 5*t - 2. Let l(x) = 2*x - 4. Let s be l(5). Let j(d) = -3*d + 6 - s. What is j(h(b))?
-3*b**2
Let z(c) = 12*c. Let h(k) = 104791*k - 104777*k + 3 - 3. What is h(z(x))?
168*x
Let b(q) = -74*q. Let d(m) = -4*m**2 + 4*m. Calculate d(b(h)).
-21904*h**2 - 296*h
Let c(r) = -r**2. Let l(k) be the third derivative of 0*k**3 + 0 + 3/10*k**5 + 0*k + 0*k**4 - 2*k**2. Calculate c(l(q)).
-324*q**4
Let h(i) = -i. Let a(n) = 19*n**2 + 11*n - 22. Let k(d) = 6*d**2 + 4*d - 8. Let c(s) = -4*a(s) + 11*k(s). Give c(h(t)).
-10*t**2
Let u(d) = d - 8. Let i(g) = -6*g + 54. Let v(a) = -4*i(a) - 27*u(a). Let q(o) = -5*o + 2. What is v(q(k))?
15*k - 6
Let p(k) = -9*k. Suppose n - 3*n + 5*c = 16, 3*c - 16 = -2*n. Let q be (30/20)/(12/16). Let m(x) = -n*x + q*x + 2*x. Calculate p(m(o)).
-18*o
Let q(t) be the second derivative of t**7/252 - 3*t**4/4 - 3*t. Let z(k) be the third derivative of q(k). Let j(r) = 0 - 3 + 3 + 2*r. Calculate z(j(y)).
40*y**2
Suppose 3*l = 8*l + 20. Let t be (-1)/(l - (-44)/12). Let h(u) = -2*u - u + 4*u - t*u. Let a(z) = 10*z. What is a(h(w))?
-20*w
Let j(u) = 2*u. Let q(z) = 5*z - 6. Let h(o) = -45*o + 55. Let k = 15 + -21. Let p(b) = k*h(b) - 55*q(b). Determine p(j(s)).
-10*s
Let u(n) = -80*n + 2. Let q(l) = -1060*l**2 + l. Determine u(q(j)).
84800*j**2 - 80*j + 2
Let b(i) = -5*i**2. Let p(x) = -7*x - 8*x + 27*x - 3*x. What is b(p(o))?
-405*o**2
Let k(f) be the second derivative of -13*f**4/6 - 41*f. Let q(w) = 123 + w - 123. Give q(k(o)).
-26*o**2
Let s(c) = 5*c - 7*c + 4*c. Let v(z) be the first derivative of 23*z**2/2 - 8. Wha | {
"pile_set_name": "DM Mathematics"
} |
0 + 2 + (-5*-2*sqrt(24) + sqrt(24))/((sqrt(40)/sqrt(5) + sqrt(8))*3).
-1 + 53*sqrt(3)/6
Simplify ((3 + -2*sqrt(7) - (sqrt(21) - sqrt(525))/sqrt(3)) + -5 + (-2*sqrt(567) + sqrt(567))*-2)**2.
-80*sqrt(7) + 2804
Simplify ((sqrt(117) + 2)*3*2)**2 - 4*-6*sqrt(117)*-4.
144*sqrt(13) + 4356
Simplify ((sqrt(170)*-2*2 + 4*sqrt(170)*2)*1)/(-3*((2*sqrt(330) + sqrt(330))/sqrt(11))/sqrt(3)).
-4*sqrt(17)/9
Simplify (-5*(sqrt(110)/(sqrt(60)/(sqrt(6)*2))*6 + 1*(-2 + 2 + sqrt(99) + sqrt(99))))**2.
89100
Simplify ((sqrt(114) + sqrt(114)*4 - sqrt(114))/sqrt(6))**2 + (sqrt(1900)*-2)**2 + sqrt(931) + ((sqrt(931) + 0)*-5)**2 + -4*(-1 + sqrt(931)).
-21*sqrt(19) + 31183
Simplify ((3*(sqrt(700) + 4*(sqrt(700) - sqrt(700)*1) + sqrt(700) + sqrt(700)*1*1))/((3*sqrt(1944))/(3*(sqrt(54) - sqrt(6)))))**2.
700
Simplify ((4 + sqrt(1792)*1 - (0 + -2*sqrt(343))*2)*5)**2 + 5.
8800*sqrt(7) + 339205
Simplify ((-2*sqrt(65))/sqrt(5) - (sqrt(208) + 3 + sqrt(13)) - (-1*(-1 + sqrt(1872)*-2))**2) + 1.
-7491 - 55*sqrt(13)
Simplify (3 + (-1*(5 + sqrt(208)*-2 + sqrt(208)) - (3 + 1 + sqrt(208))*-5))**2.
864*sqrt(13) + 7812
Simplify (sqrt(44) + -3)*-5 + -3 + sqrt(539) + 1 + ((-3*sqrt(132)*3)/(sqrt(96)/sqrt(32)))**2.
-3*sqrt(11) + 3577
Simplify ((sqrt(9)/sqrt(3)*-5)**2 + sqrt(675)/sqrt(9))*3 - -4*sqrt(36)/((1*sqrt(33))/sqrt(11)).
23*sqrt(3) + 225
Simplify (-4*(-5 + -1 + sqrt(363)) - (3 + -4*(-1*sqrt(363) - sqrt(363))**2)) + -5.
-44*sqrt(3) + 5824
Simplify (-3 + (4*(sqrt(200) + (sqrt(200) - (-1*sqrt(200) - sqrt(200)) - sqrt(200))) - 6*sqrt(200)*2) + ((sqrt(200)*2 + sqrt(200))*-6 - (1*sqrt(200) + 2)))**2.
1900*sqrt(2) + 72225
Simplify ((0 + sqrt(405))*6 + sqrt(405) + sqrt(405) + 1*(-2 + sqrt(405)) + sqrt(405))**2 - (-1*(sqrt(245) + -1)*1)**2.
-346*sqrt(5) + 40258
Simplify (-6*(-6*(sqrt(176)*-5 + sqrt(176)) + -4 + sqrt(176) + 3 + -2))**2.
-21600*sqrt(11) + 3960324
Simplify -1 + 1 + (sqrt(288) - (-4 + sqrt(288)*-4)**2) + (sqrt(288) - -6*(-2 + sqrt(288)) - (-2 + -1*sqrt(288))).
-4634 - 276*sqrt(2)
Simplify (((1*sqrt(81))/sqrt(9) + sqrt(9))/(sqrt(48) + sqrt(3)) + (sqrt(15) - ((-1*sqrt(135) - sqrt(135))/sqrt(9) + sqrt(15)))/sqrt(5)*3)**2.
3072/25
Simplify (sqrt(78)*-3*4*6)/(-4*(sqrt(6) + sqrt(54)/sqrt(144)))*-4*-3.
864*sqrt(13)/5
Simplify (sqrt(119)/(sqrt(175)*-1) - sqrt(51)/(6*sqrt(3)*2))**2 + -1 + (-3 + -3*(sqrt(2057) + 0 - sqrt(17)))**2.
180*sqrt(17) + 55113713/3600
Simplify ((sqrt(1372) + 1*sqrt(1372) + sqrt(1372))*-5)/(1*sqrt(196)*-5 + sqrt(196)).
15*sqrt(7)/4
Simplify (-5 + sqrt(98)*2*-3 + (sqrt(98) - (5 + -3*sqrt(98))) + -1)**2 + -2.
308*sqrt(2) + 511
Simplify (-5*(sqrt(102) - sqrt(102)*-1 - sqrt(102)) + sqrt(102)*-2*-3)/((sqrt(4374)*-2)/(sqrt(36)*-5)).
5*sqrt(17)/9
Simplify (sqrt(500) + 3)**2 + 5 - (sqrt(180)/sqrt(27))/(1*sqrt(588)).
1259*sqrt(5)/21 + 514
Simplify (-2*(sqrt(121) - sqrt(121)*2*6)*-4)/(sqrt(176) + sqrt(176)*-2*4 + sqrt(176) - -2*1*sqrt(176)).
11*sqrt(11)/2
Simplify 5*((-1*(sqrt(121)*-1 + sqrt(121)) - sqrt(121))/sqrt(11) + 4) + ((sqrt(539)*-1)**2 - 2*(sqrt(11) + sqrt(11) + sqrt(176))**2)*4*-5.
-5*sqrt(11) + 5080
Simplify -5 + (-4*(3 + sqrt(637)*5 + -1 + sqrt(637)*-5 + -4))**2.
59
Simplify (-2*sqrt(147)*3 + sqrt(147) + (sqrt(147) + 2)*-2 - (-4 + (sqrt(147) + 0 - sqrt(147)) + 3 + -5))**2.
-196*sqrt(3) + 7207
Simplify (sqrt(95)/(sqrt(720)/sqrt(4)) + -5)**2 - (3*(0 + sqrt(2736)) + -4).
-113*sqrt(19)/3 + 1063/36
Simplify 5 + (3 + -2 + ((-2 + sqrt(1216))*-4 - (-3*sqrt(1216)*5 - sqrt(1216))))**2*4.
6912*sqrt(19) + 700745
Simplify -1*(-4*1*sqrt(125) - sqrt(125) - (sqrt(125)*1 + -4)**2) + (-2 + sqrt(125) + 0 + 1*2*sqrt(125))**2 + -4.
-75*sqrt(5) + 1266
Simplify 5 + ((0 + (sqrt(272) - ((-1 + sqrt(272) - sqrt(272)) + sqrt(272) + sqrt(272))*3 - (sqrt(153) - (-3 + sqrt(153) + sqrt(153) + 2))))*4)**2.
-1088*sqrt(17) + 78677
Simplify ((sqrt(832) + -1*(sqrt(832) + 2) - -4*(1 + sqrt(832))) + -1 + sqrt(832) + 5 + (sqrt(832) + -2*sqrt(832)*6 - sqrt(832) - sqrt(832)) + -2)**2 + 1.
-512*sqrt(13) + 53265
Simplify (2*((sqrt(405) - (2 + sqrt(405)*-2)) + (sqrt(405) - 4*sqrt(405)*2)))**2*-1.
-25936 - 576*sqrt(5)
Simplify (-2*sqrt(136)*-3 + 5*-1*sqrt(136))/(sqrt(96)/sqrt(12) - sqrt(4)/(sqrt(2)*-3)).
6*sqrt(17)/7
Simplify 3 + (-1 + sqrt(396) + -1 - sqrt(396))**2 + ((-1 + sqrt(1100) + sqrt(1100))**2 + 5)*3.
-120*sqrt(11) + 13225
Simplify (1 + sqrt(192) + sqrt(3) + sqrt(33)/(sqrt(99) - sqrt(11)))**2 - ((sqrt(297)/(sqrt(11)*-1))/(sqrt(324) + 2*sqrt(324)))**2.
19*sqrt(3) + 7337/27
Simplify ((-5*sqrt(1176)*-2 + sqrt(1176))*-5)/((sqrt(96) + (sqrt(96)*2 - sqrt(96))*6)/(sqrt(16)/(sqrt(2) - -2*sqrt(2)))).
-55*sqrt(2)/3
Simplify -2*(-5 + ((sqrt(432) - (sqrt(432) - (-5 + (sqrt(432)*-2 - sqrt(432)))))*-4*-4)**2) + -2.
-2003448 - 184320*sqrt(3)
Simplify (sqrt(60)/(sqrt(3) + sqrt(12))*-2 - sqrt(120)/(sqrt(294)*-1))/(5*(2*sqrt(3200))/(sqrt(5) - sqrt(60)/(sqrt(108) - sqrt(12)))).
-11*sqrt(2)/3360
Simplify 3*(2 + 5*sqrt(44)/sqrt(4)) - (-4 + 1 + sqrt(11) + 0 + -1).
10 + 14*sqrt(11)
Simplify 4*((-1 + sqrt(147) + 1)**2 + 0 - (sqrt(6)/(sqrt(224)/sqrt(7) + sqrt(2))*-5)**2).
576
Simplify (sqrt(1008) + 3 + -2 + sqrt(1008) - sqrt(1008))**2 + (2 + sqrt(1008) + sqrt(1008))*-6 + -3*(-1 + sqrt(1008) + -5 + 3).
-156*sqrt(7) + 1006
Simplify ((sqrt(720) + -1*sqrt(720))**2 + (-1 + sqrt(720))**2 - 3*(sqrt(320) + 0)*-6)*-4 + -3.
-2887 - 480*sqrt(5)
Simplify 6*(sqrt(135)*-1 + sqrt(15))/(-5*sqrt(3)*1) + (sqrt(40)/(-2*sqrt(288)) - (3 + (sqrt(405) - (sqrt(405) + sqrt(405)*2)))**2).
-1629 + 6619*sqrt(5)/60
Simplify 4*((sqrt(3) + (sqrt(3) - (sqrt(3) - sqrt(48))))**2*4 + -2 + 4 + (-3 + sqrt(27) + 3)**2 + 2)*-3.
-3972
Simplify -3*(4 + ((-1*sqrt(153) - sqrt(153)) + 3)*-4)*-2*1.
-48 + 144*sqrt(17)
Simplify -6*(((sqrt(5445) + sqrt(5445)*-2)*6)**2 + 0 + -5)*1.
-1176090
Simplify (sqrt(1100) + -3*(sqrt(1100) - sqrt(1100)*1) - (sqrt(1100) + sqrt(1100)*2*3) - -3*(sqrt(1100) + sqrt(1100) + -1)*-1)**2.
-720*sqrt(11) + 158409
Simplify -2*((-4*(sqrt(363) + -5*(1 + sqrt(363) - sqrt(363)) + -4))**2 + (-6*5*((1 + sqrt(363))*-2 + sqrt(363)))**2).
-674808 - 72864*sqrt(3)
Simplify 3 + ((-4*sqrt(40)/sqrt(4))/((sqrt(105)/sqrt(3))/sqrt(7)))**2 + (4*(sqrt(8)/sqrt(36) + sqrt(8)/(-2*sqrt(4)))*3)**2.
43
Simplify ((-2*1*sqrt(306))/(((-2*sqrt(66))/sqrt(11) - sqrt(6)) + sqrt(6)))/((sqrt(189)*6)/(-1*sqrt(343))).
-7*sqrt(17)/18
Simplify ((sqrt(180) - (sqrt(180)*1*-2 + sqrt(180)))/(-2*sqrt(36)))/(2*sqrt(250) + sqrt(250) - sqrt(20)/sqrt(2)*-4).
-sqrt(2)/38
Simplify (3*(sqrt(350) - (sqrt(350) + sqrt(350) + (sqrt(350)*-1 - sqrt(350))))*3)/(sqrt(200) + -2*sqrt(200) + sqrt(200) - 3*sqrt(72))*-2.
5*sqrt(7)
Simplify 2 + (((sqrt(121) + sqrt(121) + sqrt(121)*3)*3 + sqrt(121))/(sqrt(11) + ((sqrt(132) - sqrt(132)*3) + sqrt(132) + sqrt(132))/sqrt(12)))**2*5.
14082
Simplify (sqrt(78) - (sqrt(78) + 3*sqrt(78)*-1) - 5*2*sqrt(78))/(sqrt(486) - (sqrt(486) + (sqrt(486) - sqrt(486)*-4 - sqrt(486) - sqrt(486))*-5)).
-7*sqrt(13)/135
Simplify ((sqrt(7488)*2 - sqrt(52))*3 + (sqrt(52) + -1 + -2 - 1*sqrt(52)*-6))*-2*-1.
-6 + 304*sqrt(13)
Simplify ((sqrt(102) + 4*sqrt(102)*-1)/sqrt(6) + 5 + sqrt(1088)*2)**2 - (sqrt(68) + 4 + ((sqrt(68)*2)**2 - sqrt(68)) - ((-5 + 3*sqrt(68))**2 - sqrt(68))).
68*sqrt(17) + 3259
Simplify (-2*-2*(sqrt(4235) - 1*sqrt(4235)))/((sqrt(14) + 1*sqrt(126))/(sqrt(2) + sqrt(8)/sqrt(4)*3 - sqrt(2))).
0
Simplify -5 + sqrt(567) + 1 + 2 + sqrt(567) + (-3*sqrt(28) + -5)*-4.
18 + 42*sqrt(7)
Simplify 5 + (4*((sqrt(2400) + sqrt(2400)*2 - sqrt(2400))*1 + sqrt(2400)))/(sqrt(300)*-3 - sqrt(12) - sqrt(12) - (sqrt(300) + (2*sqrt(300) - sqrt(300)))).
-40*sqrt(2)/9 + 5
Simplify (6*((sqrt(720) - (2 + (sqrt(720) - (1 + sqrt(720))))) + sqrt(720))*6 - (2*sqrt(720)*-2 + 3 + -4))**2.
-63840*sqrt(5) + 4159945
Simplify 2*5*(3*3*sqrt(99) - (sqrt(99) + 0 + sqrt(99))*-4)**2*4.
1144440
Simplify ((-5 + (sqrt(75)*3 - sqrt(75) - sqrt(75)) + (sqrt(75) - 4*(sqrt(75) + 4 + sqrt(75))))*-5)**2 + 2.
31500*sqrt(3) + 78527
Simplify -2*(-3 + (-1*(sqrt(567) - (-1 + sqrt(567))) + (sqrt(567) - (sqrt(567) + 1)*-5) - (-6*(-1 + sqrt(567)) + 1))**2).
-163308 + 1296*sqrt(7)
Simplify 4 + ((sqrt(80) - (sqrt(80)*-2 - sqrt(80)))*-4 + -3 - 4*(sqrt(80)*1*-2 + sqrt(80)))**2 + 1.
288*sqrt(5) + 11534
Simplify ((-6*sqrt(85)/sqrt(5) + 4 + sqrt(17) + sqrt(85)/sqrt(5))*1)**2 + (-1 + (1 + sqrt(833))**2 - (-1 + sqrt(68) + -2 - sqrt(68) - s | {
"pile_set_name": "DM Mathematics"
} |
- b + b + b - 2 + 2 + (1 + b - 1)*(2 - 1 + 1) - 2*b - 2*b + 3*b + (0*b + 0*b + 2*b)*(0 + 2 - 1) + 3*b + 2*b - b.
-b
Expand -47*t - 8*t**4 + 47*t + (0*t**2 - t**2 + 4*t**2)*(2*t + 2*t**2 - 2*t) + 4*t**4 + 4*t**4 - 6*t**4 - t**4 + 3*t**4 - t**4 + 2*t**4 + t**4 - t**4.
3*t**4
Expand (-2*x**3 - 1 + 1 + (-2*x**2 - 2*x**2 + x**2)*(x + 0 + 0))*(6*x - 398*x - 46*x).
2190*x**4
Expand (5*m - 6*m - 5*m)*(2*m**3 - 2*m**3 - m**3) + 8*m - 8*m - 2*m**4.
4*m**4
Expand (159*f**2 + 202*f - 202*f)*(-3*f**2 + 2*f**2 + 2*f**2).
159*f**4
Expand ((-4 + 0 + 2)*(-3 + 4 + 0) + 2 + 1 + 0 + 2 - 1 - 2 - 2 + 0 + 0)*(-3 + n + 3)*(-1 + 13 + 8).
-40*n
Expand (0 - 6 + 5 + c**2)*(1 - 4 + 4) + (-4*c**2 + 8 - 8)*(-4 + 3 - 1) + 0*c**2 + 3*c**2 + c**2.
13*c**2 - 1
Expand (0*k**3 + 12*k**3 + 4*k**3)*(15 - 3 - 2).
160*k**3
Expand 3*u**4 - 3*u**4 - 2*u**4 + (3*u**2 - 6*u**2 + 2*u**2)*(-4*u + 8*u**2 + 4*u) - 7*u**4 + 3*u**4 + 2*u**4 + (-u**2 + 6*u**2 + u**2)*(-2 + 2 - u**2).
-18*u**4
Expand (-4 + 2 + 1)*(0*m + 3*m + m)*(-20 + 6 + 4).
40*m
Expand -811*m**3 + 264*m**3 + 145*m**3 + (-1 - 2*m + 1)*(-m**2 - 2*m**2 + 2*m**2) + 2*m**3 - m**3 + 0*m**3.
-399*m**3
Expand (20*s - 2293*s**4 - 11*s - 9*s - 7959*s**4)*(4*s + s - 3*s).
-20504*s**5
Expand (-5*c**2 + 0*c**2 + c**2)*(1 - 1 + 2*c) - 9*c**3 - 9*c**2 + 9*c**2.
-17*c**3
Expand (-47 - 5 - 55 + 7)*(7*c - c - 2*c).
-400*c
Expand (h + 2 - 2)*(8 - 2 - 2)*(-6 + 1 + 4 + (0 + 3 - 2)*(4 - 4 - 2) + 16 - 1 - 10).
8*h
Expand 2*x**2 - x**2 - 2*x**2 + (-72*x**2 + 104*x**2 - 91*x**2)*(-2 - 3 + 4).
58*x**2
Expand (4 - 3 - 2)*(-304*y**2 + 304*y**2 + 68*y**3) - 2*y**3 + 2*y - 4*y + 3*y.
-70*y**3 + y
Expand -1 - z + 1 + (-2 + 3 + 1)*(z + z + 0*z) + 4 + 3*z - 4 - 67*z + 1090 - 1090.
-61*z
Expand (-20 - 2*g + 20)*((-g - 2*g + g)*(-2 - 3 + 7) + 2*g - 2*g + 2*g + 0*g + 2*g - g - 4*g + 5*g + 0*g + (g + g - 3*g)*(-2 + 10 + 2)).
20*g**2
Expand (-10*l**2 + 3*l**2 + 8*l**2)*(-7 + 4 - 6)*(-l + 2*l + 0*l).
-9*l**3
Expand (2 - 4 + 1 + 2 + 2 - 1 + (-2 + 1 - 2)*(-5 + 2 + 4))*(9*k - 25*k - 55*k).
71*k
Expand 11 - 11 + 89*p + 6*p + 0*p - 4*p + (0 + 1 - 3)*(0*p + 0*p - 2*p).
95*p
Expand (-1 - 2 + 5)*(-s + 3*s - s) + (-7 + 0 - 2)*(0*s - 2*s + 3*s).
-7*s
Expand (-4 + 4 - x)*(5 + 5 - 4)*(0*x + 0*x - 2*x).
12*x**2
Expand (3*c + 3*c - 5*c)*(12 - 2 - 4)*((-1 + 0 - 2)*(-1 + 2 + 1) + 5 + 13 - 7).
30*c
Expand (0 + y**5 + 0)*((4 - 1 - 1)*(-2 + 0 + 1) - 79 - 93 + 14).
-160*y**5
Expand (-2*t + 2*t + t + (5*t - 3*t - 3*t)*(2 + 2 - 2) - 3*t - 2 + 2)*(-18 - 9 - 5)*(5*t**2 - 2*t**2 - t**2).
256*t**3
Expand (-4 + 5 - 2)*(-6*r + 3*r + r) + (-2*r + r + 3*r)*(-4 + 5 - 3) + (-4 + 3 + 4)*(-2*r - 16 + 16).
-8*r
Expand (0*u - 5*u - 3*u + (0 + 0 - 2)*(u + 2*u - u))*(-u**2 + 5*u**3 + u**2).
-60*u**4
Expand (a**2 + 4*a**2 - 3*a**2)*(-a + a - 10*a) - 9 - 11 - 5*a**3 + 21.
-25*a**3 + 1
Expand (h + h - h)*(3*h**3 + 4*h**3 - 5*h**3) - 5 + 5 - h**4 + (13473*h - 13473*h + 197*h**2)*(-2 + 2 - 3*h**2).
-590*h**4
Expand (-5*g**3 - 24*g**3 - 44*g**4 + 42*g**4)*((-1 - 1 + 1)*(-3*g - 2*g + 3*g) + 6*g - 2*g - 2*g - g + 2*g - 2*g).
-6*g**5 - 87*g**4
Expand (1 - 4 + 1)*(-50*m - 1 + 1) - 4*m + 0*m + 5*m - 1 + 1 + 2*m + m - 5*m + 6*m + (3 - 4 + 0)*(m + 2 - 2) + 1 + 2*m - 1 + 3 - 2*m - 3.
104*m
Expand (-2 - 2 + 2)*(-9*r**2 + 7*r**2 + 15*r**2)*(-79 + 79 + 15*r**2) + 3 - 2*r**4 - 3.
-392*r**4
Expand 1 - i - 1 - 2*i - 3*i + 3*i + (i - i + i)*(2 + 2 - 3) + 2*i + 4*i - 3*i + 2*i - i - 3*i - 8 + 8 + 5*i.
4*i
Expand (-4*l**2 - 2 + 2)*(8*l + 11*l**2 - 8*l)*(-4*l + 3*l - 2*l).
132*l**5
Expand (5*p + p - p)*(5 - 15 - 1 - 2*p).
-10*p**2 - 55*p
Expand -5*s**3 + 6*s**3 + 0*s**3 + (-5*s**2 + 3*s**2 + 4*s**2)*(2 - s - 2) - 1 + 1 - 2*s**3 + (-s**2 + 0*s**2 + 0*s**2)*(40*s - 15*s - 4*s).
-24*s**3
Expand (-3*k**2 + 0 - 2 - 4*k**2)*(1 - 5 + 5)*(-7 + 14 + 3)*(-1 + 3 + 0).
-140*k**2 - 40
Expand (78 + 76 + 82)*(-4 + 2 + 4)*(-w - 3*w + 5*w).
472*w
Expand (5*f - 5*f + 4*f)*(-2 + 4 - 3) + 14*f - 24*f + 0*f + 2*f + 0 + 0.
-12*f
Expand (2*i**4 - 2*i**4 - 6*i**4)*(5278*i - 5281*i - 11 - 1).
18*i**5 + 72*i**4
Expand -1 - w**4 + 1 + (122*w**2 - 84*w - 125*w**2 + 206*w)*(2*w**2 + w**2 - 4*w**2).
2*w**4 - 122*w**3
Expand -293*f**4 - 126*f**4 + 134*f**4 + (-f**2 - 2*f**2 - 3*f**2)*(f**2 + 5*f - 5*f).
-291*f**4
Expand (c**3 + 32*c - 6*c + 15*c)*(5 + 0 - 4).
c**3 + 41*c
Expand (0*j - j + 3*j)*(2*j + 0*j + 0*j) + (-j**2 + 7*j**2 + 3*j**2)*(0 + 1 - 2).
-5*j**2
Expand (1 - 1 + k)*(0*k + 0*k + 2*k)*(-8 + 8 - 14*k).
-28*k**3
Expand (9*o**3 - o**3 + 34*o**3 + 74*o**3)*(6*o + 0*o - 3*o).
348*o**4
Expand (r**4 + 2*r**3 - 2*r**3)*(-25 + 25 - 4*r) - 4*r**5 + r**5 + 4*r**5 - 14*r + 14*r + 7*r**5.
4*r**5
Expand (-1 - 3 + 3 + (-1 + 1 - 1)*(2 + 0 + 0))*(-46*f**4 - 31*f**4 - 24*f**4).
303*f**4
Expand ((3*f - 2*f + 0*f)*(-f**2 + f**2 + f**3) - 4*f**4 + 7*f**4 - f**4 - 4*f**4 + 3*f**4 + 2*f**4)*(2*f + 11*f - 3*f).
40*f**5
Expand b + b - 4*b + (0*b + 3*b - 5*b)*(0 + 2 - 4) - b - 5*b + b.
-3*b
Expand ((16*q**2 - 16*q**2 + 22*q**2)*(-5*q**2 + q**2 + 2*q**2) + 10*q**4 - 28*q**4 - 3*q**4)*(-5*q + 3*q + 3*q).
-65*q**5
Expand -9*f - 3*f + 3*f + (-2 + 5 - 2)*(f - f + f) + 3*f + 0*f - f + 5*f + 0*f - 2*f.
-3*f
Expand (1 + 1 - 1)*(-2*n + 0*n + 0*n) - 20*n + 21 + 21*n + 131.
-n + 152
Expand -c + 2 - 2 + (-34 - 12 - 12)*(-3*c + c + 4*c).
-117*c
Expand (1 - 2 + 0)*(-2 - 1 + 0)*(-2*i + 12*i + 2*i) + 2*i - 6*i + i.
33*i
Expand (m + m - 5*m)*(-37 - 107 + 28).
348*m
Expand (-5 + 4 + 3 + 0 - 1 + 2 + (3 - 1 - 1)*(-1 + 5 - 2) - 2 + 2 + 1)*(24*d + 6*d + 64*d).
564*d
Expand (4*q - 15*q - 7*q)*(4 + 1 - 3).
-36*q
Expand (-k**3 - 2*k**3 + 4*k**3)*(1 + 0 + 1 + (-28 + 108 - 42)*(3 - 2 + 3)).
154*k**3
Expand n**3 - n**3 - 2*n**4 + (-5*n**2 + 4*n**2 + 3*n**2)*(-4*n**2 - n**2 + 3*n**2) + 2*n**4 - 5*n**4 + 4*n**4 + 114*n**2 + 249044*n**3 - 9*n**4 - 249044*n**3.
-14*n**4 + 114*n**2
Expand (-2274*s + 2274*s - 68*s**3)*(-8*s**2 + 3*s**2 + 3*s**2) + (-s**5 + s**5 + 2*s**5)*(-6 + 1 + 4) - 4*s**5 + 4*s**5 + s**5.
135*s**5
Expand (10*k**2 + 11*k**2 - 23*k**2)*(-115*k + 115*k - 8*k**2).
16*k**4
Expand y**3 + 3 - 3 + 1 - y**3 - 1 + (5*y + y - 5*y)*(0 + y**2 + 0) + y**3 - 3*y**2 + 3*y**2 + 4 - 46*y**3 - 4 + 212*y**3.
168*y**3
Expand (0*l**3 + 0*l**4 - l**3 + 3*l**4)*(0*l + l - 17*l).
-48*l**5 + 16*l**4
Expand (3*r - 5*r - r)*((0 - 2 - 1)*(1 + 0 - 3) - 11 - 12 + 15).
6*r
Expand (4*n**3 + 5*n**3 + 6*n**3 - 2*n**3 + 4*n**3 + 0*n**3 + (0*n**2 + 3*n**2 - n**2)*(-2*n + 3*n + n) + 2*n**3 + 0*n**3 - 4*n**3)*(2*n + 2*n - 6*n).
-38*n**4
Expand (4 - 1 - 10 - 12)*(19 - 19 + 13*r**3)*(0*r - 5*r + 4*r).
247*r**4
Expand (-2 + 1 + 0)*(294*v + 44*v**2 - 294*v) - v**2 + 4 + 3*v - 4 + (-4*v + 5*v + 0*v)*(-2*v - 3*v + 6*v) - 1 + 2*v**2 + 1.
-42*v**2 + 3*v
Expand (k - 2*k + 2*k)*(-k**3 + 4*k**3 - 2*k**3) - 14*k + 14*k - 6*k + k**4.
2*k**4 - 6*k
Expand (1 + 0 - 2)*(4*w + 2*w - 5*w) + 218*w + 80*w - 75*w.
222*w
Expand 24*v + 2*v - v + (6*v - v - 3*v)*(-2 - 1 + 1).
21*v
Expand (h - 2*h + 0*h)*(2*h**2 - 2*h**2 - 5*h**2)*(39 - 11 + 21) - 3*h**3 + 2 - 2.
242*h**3
Expand (0*c**2 + 3*c**2 + c**2)*((1 + 3 - 3)*(29*c + 11*c**3 - 29*c) + 4*c**3 - 3*c**3 + 0*c**3).
48*c**5
Expand (1 - 1 - 2*j)*(2*j - 2*j + j) + 198*j**2 + 36*j**2 + 27*j**2 - 7*j**2.
252*j**2
Expand (55*v**2 - 22*v**2 + 11*v**2)*(5 + 1 - 3).
132*v**2
Expand (-6*c**2 + 30 - 30)*(3*c**3 - 191*c**2 + 191*c**2).
-18*c**5
Expand (2 + 0 + 54*m**2 - 79*m**2)*(-3*m - 3*m + 13*m) + 2*m**3 + 1 - 1.
-173*m**3 + 14*m
Expand (-2*h + 2*h + 2*h)*(-3 - 10 - 12)*(6*h**4 + 2*h**4 + 4*h**4).
-600*h**5
Expand -1432342*o**2 + 2*o - 7 + 1432375*o**2 - 25 + 0*o**2 + 4*o**2 - 5*o**2 + (0*o + 0*o + 2*o)*(0*o + 5*o - 3*o).
36*o**2 + 2*o - 32
Expand (-1 + 4 - 5)*(2*a - 1 + 1) + 0*a + 0*a - a - 12*a + 11 + 16*a - 14.
-a - 3
Expand (-v**2 - v**2 - v**2)*(2*v**2 - 4*v**2 + 3*v**2 + 0 + 0 + 2*v**2 + (2*v - 2*v - 2*v)*(-5*v + 2*v + 4*v) + v**2 - 2*v + 2*v - 9 + 9 + 12*v**2).
-42*v**4
Expand (-1 + 0 + 0)*(n**3 + 0*n**3 + 3*n**3) - 60*n**3 + 540 - 540.
-64*n**3
Expand (-82*g - 820*g - 615*g - 240*g)*(-1 - 2 + 4).
-1757*g
Expand (-42 - 25 - 2 + (2 + 3 - 4)*(0 + 1 - 3))*(2*p - 3*p + 4*p).
-213*p
Expand (-1 + 1 + 3*j)*(-2 - 16 - 8)*(0 + 5 + 2)*(4 - 1 - 4)*(-2*j**3 - j + j).
-1092*j**4
Expand (1 - 1 - q)*(q**2 + 0*q**2 - 2*q**2) - 5*q + 5*q + 3*q**3 + 111*q**2 - 111*q**2 + q**3 - 4*q**3 - q**3 + 4*q**3.
4*q** | {
"pile_set_name": "DM Mathematics"
} |
= l*y, 4*y - 6 = -3*v + y. What are the prime factors of v?
2, 3
Suppose 9*j - 5700 = -j. List the prime factors of j.
2, 3, 5, 19
Suppose -2*t - y + 520 = -343, -5*t = y - 2150. List the prime factors of t.
3, 11, 13
Suppose -4*j + 2*l + 62 = 0, 5*l + 22 = -4*j + 105. Let s = j - 14. List the prime factors of (1/s)/((-8)/(-240)).
2, 5
Let t = -492 - -1217. What are the prime factors of t?
5, 29
List the prime factors of (-56832)/(-63) - ((-32)/(-84))/4.
2, 11, 41
Let q be (-24)/6 + 4 + 124. Suppose 3*p - 445 + q = 0. List the prime factors of p.
107
Let p = 10246 + -5470. List the prime factors of p.
2, 3, 199
Suppose -p = 3*p + 120. List the prime factors of (-2)/10*-157 - (-12)/p.
31
What are the prime factors of 4056/36*27/6?
3, 13
What are the prime factors of 11/((-308)/(-12608)) + 4/(-14)?
2, 3, 5
Let n be 1*(-6 - -3) + 1*3. Suppose -5*d + 31 = -4*f, 0*d - d + 3*f + 15 = 0. Suppose 5*u = n, k + d*k - 2*u - 212 = 0. What are the prime factors of k?
53
Let g(f) = -f**3 - 3*f**2 + f - 12. Let k be g(-5). Suppose -k = -p + 18. What are the prime factors of p?
3, 17
Suppose -2*m = 5*m - 2583. List the prime factors of m.
3, 41
Suppose 0 = 5*m + 4*a + 1447, 0 = a - 2. Let w = m + 557. What are the prime factors of w?
2, 7, 19
Let j = 1082 + -688. What are the prime factors of j?
2, 197
Suppose 0 = 4*g - 8*g - 4*q + 1212, -3*g + 877 = -5*q. What are the prime factors of g?
13, 23
Suppose 19*w = 7*w - 24. List the prime factors of (395/(-20))/(w/16).
2, 79
Let g(l) = 99*l**2 + 36*l - 178. What are the prime factors of g(6)?
2, 1801
Let r = 40 + -32. Let m(j) = j + 36. List the prime factors of m(r).
2, 11
Let d = -114 + 446. List the prime factors of d.
2, 83
Let k(w) = -4*w**2 - w + 156. Let b(g) = -3*g**2 - g + 156. Let i(h) = 3*b(h) - 2*k(h). What are the prime factors of i(0)?
2, 3, 13
Let l(n) = 2*n**3 + 128*n**2 - 42*n + 15. List the prime factors of l(-64).
3, 17, 53
Let m(v) = 3*v**3 + 2*v**2 - v + 1. Let k be m(1). What are the prime factors of 2/k - (-306)/10?
31
Suppose -23 = 3*a - 107. Suppose 4*n - a = -3*c - 0*n, 2*n = -4*c + 44. What are the prime factors of c?
2, 3
Suppose 3*r - 239 = 5*c + 6503, 0 = -5*r - 4*c + 11212. What are the prime factors of r?
2, 3, 11, 17
Suppose 17025 + 1411 = 4*y - 4*z, -3*y = -z - 13831. What are the prime factors of y?
3, 29, 53
Let o(k) = -84*k**2 + 2*k. Let r be o(-4). What are the prime factors of r/(-28) - (-1)/(14/(-4))?
2, 3
Let c = 559 + -142. List the prime factors of c.
3, 139
Suppose -1839*b - 2358 = -1842*b. List the prime factors of b.
2, 3, 131
Suppose u + 5*v = 604 + 736, v - 1320 = -u. List the prime factors of u.
5, 263
Let s = 21 - 201. List the prime factors of 4/26 - s/13.
2, 7
Let g(j) = 19*j**3 - 4*j**2 + 2*j + 11. List the prime factors of g(3).
2, 13, 19
Suppose -2*t + 3*t = 2*a + 8, -12 = -5*t - 4*a. Let f = 66 + -36. Suppose n = x + f, 5 = -0*n + n + t*x. What are the prime factors of n?
5
Let p(a) = 53*a - 11. Let r be p(-2). Let c = r - -154. List the prime factors of c.
37
Let g(h) = 5*h + 11. Let s be g(-3). What are the prime factors of (s + 12/4)/((-3)/108)?
2, 3
Suppose 3*w - n = 8521, 3*w - 9*n - 8531 = -13*n. What are the prime factors of w?
3, 947
Let w(u) = -u**3 - 8*u**2 - 8*u - 3. Let p(d) = -d**3 + 5*d**2 - d - 2. Let t be p(5). Let v be w(t). Suppose 2*a = 4 + v. What are the prime factors of a?
2
Suppose -2*s - 3*s - 13 = -4*d, 4*s + 35 = -5*d. Let o = d + 5. Suppose 0 = -o*b - b + 141. List the prime factors of b.
47
Suppose -h = 2 + 3. What are the prime factors of ((-280)/25)/(1/h)?
2, 7
Let d(b) = -8 - 6 - 4 - 5 - 62*b. What are the prime factors of d(-3)?
163
Let w = -52 + 48. Let r(v) = -v**3 + v**2 - 3*v - 1. List the prime factors of r(w).
7, 13
Suppose 2*h - 3*a + 5*a - 4 = 0, a = 2*h - 1. What are the prime factors of 51*h/((-12)/(-16))?
2, 17
Suppose -3*k + 5*l = -8*k + 85, -5*l = 3*k - 53. Suppose 0 = 5*m - 33 - 57. Let z = m - k. What are the prime factors of z?
2
Let m = -31 + 54. Let n(y) = 4*y**3 - 12*y**2 + m*y**2 - 13*y**2. List the prime factors of n(2).
2, 3
Suppose -2*c + 751 = -5*n - 0*n, -1 = -n. What are the prime factors of c?
2, 3, 7
Let x be (-90)/(-24) - (-2)/8. Suppose -x*m + 2*m + 98 = 0. What are the prime factors of (-2)/6 + m/3?
2
Let s = -460 - -742. List the prime factors of s.
2, 3, 47
Let c be (-5 - (-4)/1)*-57. Let b = -27 + c. List the prime factors of b.
2, 3, 5
Suppose -i + 5*i = 0. What are the prime factors of i/5 - (-35 - -4)?
31
Let z be 0*2/(-10) + 3 - 5. Let r(g) = -2*g**3 + 1 + 3*g**2 + 2*g - 3*g**3 + 4*g**3. List the prime factors of r(z).
17
Let f = -220 + 301. What are the prime factors of f?
3
Suppose -5*p + 7*p = 10. Suppose 0 = 2*y - 4*f + 2*f - 126, -p*f - 43 = -y. List the prime factors of y.
2, 17
Suppose -3*l - 17 = -2*l. Let c = 22 + l. Suppose 75 = y - 2*a, -a - 149 = -c*y + 199. What are the prime factors of y?
3, 23
Let q(p) = 10*p - 6. Let n be q(14). Let j = n + -75. Let z = j + -29. What are the prime factors of z?
2, 3, 5
Suppose -l - 2*z = z - 17, 5*l + 4*z = 41. Suppose l*d - 4 = 4*d. Suppose 0 = 4*x + 4*j - 64, x = -0*x + d*j + 26. What are the prime factors of x?
2, 3
Suppose -20*f = -22*f - 438. Let m = f - -336. List the prime factors of m.
3, 13
Let y be -1 - -1 - (1 + 0). Suppose i - 20 = -2*w, -4*w = 5*i + 19 - 53. What are the prime factors of y - (w*-2 - -3)?
2, 3
Let i(o) = o**3 + 2. Let w be i(0). Suppose -8 = -5*y + w. What are the prime factors of y?
2
Let f = 9 + 0. Suppose 30 = 5*p - 4*h, -2*p + 5*p = -h + 1. Let i = f + p. List the prime factors of i.
11
Let k(g) = g**2 + 14*g - 16. Let h(b) = -15*b**3 - 3*b**2 - 4*b - 3. Let x be h(-2). Let s be 14/98 - x/7. List the prime factors of k(s).
2
Let w = 401 - -409. What are the prime factors of w?
2, 3, 5
Suppose 5*x - 555 = -5*m, 391 = 3*x - m + 54. Suppose 5*c + 5*q + 395 = 0, 4*c - 2*q + 222 = c. Let i = x + c. What are the prime factors of i?
2, 3
Let w(l) = -2*l + 19. Let k be w(13). Let r = k - -10. Suppose v + 46 = r*v. List the prime factors of v.
23
Let g = 160 - 27. Suppose 2*x = 117 + g. List the prime factors of x.
5
Suppose 3*h = -3*x + 262 + 200, -3*h = -2*x - 467. What are the prime factors of h?
5, 31
Suppose -2*j = -3*x - 23, -2*x - 18 = -j - j. Suppose 3*b = -1 + j. List the prime factors of (-525)/(-10) - b/2.
2, 13
Suppose m - 64 = 568. List the prime factors of m.
2, 79
Suppose 4*c + 20 = 80. Suppose -c = -6*t + t. Suppose 0 = -t*g - g + 156. What are the prime factors of g?
3, 13
Suppose -9 - 15 = 4*w. What are the prime factors of ((15/w)/(-5))/((-1)/(-64))?
2
Let g = -16 + 18. Suppose 4*h - 80 = 2*j, g*h - 30 = -5*j + j. Let x = -2 + h. List the prime factors of x.
17
Let s = -178 - -340. List the prime factors of s.
2, 3
Suppose 13*z = 12*z + 6. Let f = z + 7. List the prime factors of f.
13
Let y(c) = 21*c + 1. What are the prime factors of y(2)?
43
Let j(c) = -c**3 + 4*c**2 + 5*c + 7. Suppose 30 = 6*t - 3*t. Suppose -z = 2*y - t, 10 = 3*y - y + 5*z. What are the prime factors of j(y)?
7
Suppose a + 13 = 134. Suppose 23 = -l + a. List the prime factors of l.
2, 7
Let n = 288 - -30. Suppose n - 2054 = -7*b. What are the prime factors of b?
2, 31
Suppose 38*q - 69622 = 19944. What are the prime factors of q?
2357
Let b(j) = -43*j**3 + 3*j - 2. Let o be b(1). What are the prime factors of (-4)/(-14) - 8220/o?
2, 7
Let b(n) = 16*n + 1. Let i be b(10). Let f = i + -73. What are the prime factors of 92/22 - 16/f?
2
Suppose 3*i - 28 = 95. Suppose -t = -15 - i. Suppose 3*d = 5*d - t. What are the prime factors of d?
2, 7
Let k be (-84)/3*(-7)/(-4). Let i = 25 + k. What are the prime factors of 6*2*(-28)/i?
2, 7
Suppose 234 + 488 = 2*d. List the prime factors of d.
19
Suppose -1 = -3*g + 20. Let h be 8*(70/4)/g. Suppose h = 2*c + 4. What are the prime factors of c?
2
Suppose 0 = 5*s - 3*y - 1792, -4*y - 355 = 4*s - 5*s. What are the prime factors of s?
359
Let d be (-53)/(-11) - (-6)/33. Suppose -d*p = -11 + 1. Suppose 7*q - 2*q = p*f + 205, -5*q = -3*f - 210. What are the prime factors of q?
3, 13
Suppose 17 = -5*a - 18. What are the prime factors of a/(21/(-74)) + (-2)/(-6)?
5
Suppose 2*p - 4 = -188. What are the prime factors of p/(-14) - (-30)/70?
7
What are the prime factors of (-37)/(-185) - 48/(-10) | {
"pile_set_name": "DM Mathematics"
} |
= 0.
-1, 1/4, 1
Let p(q) = q**2 + 5*q + 6. Let j be p(-3). Let v(w) be the first derivative of 1/27*w**6 + j*w**5 + 0*w**3 + 1/9*w**2 + 0*w - 1/9*w**4 - 1. Factor v(f).
2*f*(f - 1)**2*(f + 1)**2/9
Let s(z) be the first derivative of -z**7/840 + z**6/180 + 2*z**3 + 4. Let h(p) be the third derivative of s(p). Solve h(w) = 0 for w.
0, 2
Factor 0*o + 0*o**2 + 0*o**3 + 0 + 2/11*o**4 + 2/11*o**5.
2*o**4*(o + 1)/11
Determine g so that 1/3*g**2 + 0*g - 1/3 = 0.
-1, 1
Let w(a) = 18*a**2 + 12. Let k(h) = -h**2 - 1. Let s(d) = -15*k(d) - w(d). Suppose s(i) = 0. What is i?
-1, 1
Let q = 19 + -15. Suppose -3/4*l**5 - 3/4*l**3 + 3/2*l**q + 0*l + 0 + 0*l**2 = 0. What is l?
0, 1
Let s be -1 + 3 + -1 + 1. Factor -3 - 3*q - s*q**2 + q**2 + 9*q - 2*q**2.
-3*(q - 1)**2
Let b(w) be the first derivative of 0*w**4 - 1/15*w**6 + 0*w + 0*w**3 + 5 - 2/25*w**5 + 0*w**2. Factor b(c).
-2*c**4*(c + 1)/5
Let m(a) be the first derivative of -2 + 0*a + 1/8*a**4 - 1/6*a**3 + 0*a**2. Factor m(c).
c**2*(c - 1)/2
Let t(z) be the first derivative of -2*z**3/9 + 8*z**2/9 - 8*z/9 + 10. Find k, given that t(k) = 0.
2/3, 2
Let a(j) be the first derivative of j**5/330 - j**2/2 - j - 1. Let q(c) be the first derivative of a(c). Let t(s) be the first derivative of q(s). Factor t(b).
2*b**2/11
Suppose 4*l - m - 12 = m, 0 = 4*l - 5*m - 18. Factor -2/7*y**l + 2/7*y + 0.
-2*y*(y - 1)/7
Suppose 3*x = -0*x. Let y(c) be the third derivative of 0*c**3 + 1/36*c**4 + x*c + 0 - 1/90*c**5 + 1/315*c**7 - 3*c**2 - 1/180*c**6. What is k in y(k) = 0?
-1, 0, 1
Factor -u**3 - 9*u**2 + 0*u**3 - 2 - 3 - 22 - 27*u.
-(u + 3)**3
Let o be 8/48 - 1/(-18). Factor 0 + o*b**2 + 4/9*b.
2*b*(b + 2)/9
Let d(j) = -4*j + 2. Let p be d(0). Let t(m) be the third derivative of 0*m**3 + 0*m + 2*m**p + 0 + 0*m**4 - 1/30*m**5 - 1/60*m**6. Factor t(a).
-2*a**2*(a + 1)
Let x(l) be the third derivative of l**9/211680 - l**7/17640 - l**5/20 - 2*l**2. Let y(a) be the third derivative of x(a). Factor y(f).
2*f*(f - 1)*(f + 1)/7
Let r(c) be the first derivative of -1/28*c**4 - 1/14*c**2 + 2/21*c**3 + 0*c + 9. Factor r(f).
-f*(f - 1)**2/7
Suppose -t + 3*t = 20. Suppose -p + b - 6 = -5*p, 4*p - t = b. What is f in 2 - f - f + 56*f**p - 6 = 0?
-1/4, 2/7
Let j = -50 - -352/7. Let m be 0 + 3 - 3/3. Solve 2/7*f**m - 4/7 - j*f = 0.
-1, 2
Let m(q) be the second derivative of q**9/6048 + q**8/840 + q**7/280 + q**6/180 + q**5/240 + q**3/2 + q. Let a(o) be the second derivative of m(o). Factor a(p).
p*(p + 1)**4/2
Let h(o) be the first derivative of o**7/168 - o**6/60 + o**5/80 + 4*o + 1. Let m(v) be the first derivative of h(v). Factor m(i).
i**3*(i - 1)**2/4
Let f(h) be the first derivative of -3*h**5/80 + h**4/8 - h**3/8 + h**2/2 + 1. Let r(o) be the second derivative of f(o). Factor r(b).
-3*(b - 1)*(3*b - 1)/4
Let y be (1/(-9))/(4/132) + 4. Factor -y*t**2 + 0*t + 1/3.
-(t - 1)*(t + 1)/3
Let y(f) be the second derivative of 8*f**6/5 + 18*f**5/5 + f**4/4 - 3*f**3 + 3*f**2/2 + 5*f. Factor y(r).
3*(r + 1)**2*(4*r - 1)**2
Let i(z) = -z**3 + 7*z**2 + 9*z - 5. Let y be i(8). Let j = 3 - y. Suppose j*t**3 + 4*t**2 - 3*t**2 - t**3 = 0. What is t?
0, 1
Let y(h) be the first derivative of 6*h + 3/4*h**4 - 2*h**3 + 1 - 3/2*h**2. Factor y(n).
3*(n - 2)*(n - 1)*(n + 1)
Let f(q) be the second derivative of q**7/84 - q**5/40 - 39*q. Factor f(g).
g**3*(g - 1)*(g + 1)/2
Determine f, given that -197*f - 195*f + 34*f**4 - 9*f**2 - 42*f**3 + 31*f**2 - 10*f**5 + 388*f = 0.
0, 2/5, 1
Let m be -9*(16/(-6) - -2) - 3. Let p(c) be the second derivative of 0 + 7/12*c**4 + 1/18*c**6 + c + 1/3*c**2 - 11/18*c**m - 17/60*c**5. Factor p(z).
(z - 1)**3*(5*z - 2)/3
Let d(p) = p**2 + 2*p + 2. Let b be d(-2). Suppose b = i - 0. Let 11*l + l**i - 1 - 11*l = 0. What is l?
-1, 1
Let b(h) = -h**2 + 7*h + 6. Let v be b(6). Let z be (-8)/v*-3*1. Factor 3 - 3 + 2*o**z - 2*o**3 + 3*o**3.
o**2*(o + 2)
Let a(j) = -6*j**4 - 5*j**3 + j**2 + 5*j - 5. Let w(c) = -c**4 - c**3 + c - 1. Let h(l) = -3*a(l) + 15*w(l). Factor h(t).
3*t**2*(t - 1)*(t + 1)
Let q be (2 + 4)*36/8. Let s be (q/18)/((-9)/(-4)). Suppose 4/3*h**2 - 2/3*h**5 - 2/3*h**4 - s*h + 4/3*h**3 - 2/3 = 0. Calculate h.
-1, 1
Let d(f) = f**3 + f**2 - 11*f. Suppose -x = x - 3*s - 9, 3*s - 9 = -4*x. Let n(p) = -p - x*p + 3*p. Let i(u) = -2*d(u) + 22*n(u). Factor i(r).
-2*r**2*(r + 1)
Let i(l) = -l**3 + l**2 - l - 1. Let m(c) = 8*c**3 + 4*c + 4. Let g(r) = 4*i(r) + m(r). Determine p, given that g(p) = 0.
-1, 0
Let p(v) be the third derivative of v**6/30 + v**5/15 - v**4/6 - 2*v**3/3 + 7*v**2. Factor p(z).
4*(z - 1)*(z + 1)**2
Let u(w) be the second derivative of -w**7/630 + w**6/90 + w**5/10 + w**4/3 + 8*w. Let f(p) be the third derivative of u(p). Factor f(i).
-4*(i - 3)*(i + 1)
Let f(p) be the first derivative of -p**4/4 - p**3/3 + 33. Factor f(a).
-a**2*(a + 1)
Let r(i) be the second derivative of i**7/126 + 4*i**6/45 + 5*i**5/12 + 19*i**4/18 + 14*i**3/9 + 4*i**2/3 - i - 8. Find y, given that r(y) = 0.
-2, -1
Let v(i) = 3*i**5 + 2*i**3 + 2*i**2 + i + 2. Let g(d) = -d**5 - d**4 - d**3 - d - 1. Let j(s) = -2*g(s) - v(s). Let j(l) = 0. What is l?
-1, 0, 1
Let b(i) = -i**5 - 8*i**4 - 13*i**3 - 13*i**2 - 8*i + 2. Let j(u) = u**5 + 7*u**4 + 12*u**3 + 12*u**2 + 7*u - 1. Let z(c) = -2*b(c) - 3*j(c). Factor z(v).
-(v + 1)**5
Let u be 34/28 - (-5 - (-231)/49). Suppose u*x**2 - 3/4*x**3 + 0*x + 0 = 0. What is x?
0, 2
Let i(l) = -l**2. Let w(b) be the third derivative of -b**6/60 + b**2. Let v = -3 - -1. Let m(k) = v*i(k) - w(k). Factor m(t).
2*t**2*(t + 1)
Let s(u) be the second derivative of u**6/360 - u**4/24 - u**3/9 + 3*u**2/2 - u. Let m(x) be the first derivative of s(x). Factor m(r).
(r - 2)*(r + 1)**2/3
Let x(q) be the third derivative of -q**8/20160 + q**7/2520 - q**5/60 + 4*q**2. Let f(u) be the third derivative of x(u). Factor f(v).
-v*(v - 2)
Let d(h) = -25*h**3 + 153*h**2 - 164*h + 40. Let u(c) = 99*c**3 - 612*c**2 + 657*c - 159. Let r(k) = -15*d(k) - 4*u(k). What is g in r(g) = 0?
2/7, 1, 6
Suppose 22 = -3*b + 5*v, -2*v - 3*v + 24 = -b. Let x be b/(-1*(-2)/8). Factor -4*r**3 + 5*r**x - 3*r**4 + 0*r**3 + 2*r**2 + 0*r**3.
2*r**2*(r - 1)**2
Let o(m) be the first derivative of -2*m**4/9 - 2*m**3/3 - 2*m**2/3 - 2*m/9 - 17. Determine b so that o(b) = 0.
-1, -1/4
Let i be (-4)/6 - 303/(-9). Suppose -2*s = -4*p - s + i, 48 = 4*p - 4*s. Find c, given that 4*c**2 + c + 4*c**3 - p*c - 6*c**4 + 0 + 2*c**5 + 2 = 0.
-1, 1
Let k = 10 - 4. Let i = 9 - k. Determine g, given that -g - 2*g**2 - i*g + 5*g + g**3 = 0.
0, 1
Suppose 4*u + 0 + 4 = 0. Let v be 3 + u - 20/18. Find w, given that -2/9*w**2 + 2/9*w**4 + 0*w + 0 + 8/9*w**3 - v*w**5 = 0.
-1, 0, 1/4, 1
Let t(i) be the third derivative of i**5/210 - i**4/14 + 3*i**3/7 - 6*i**2. Factor t(o).
2*(o - 3)**2/7
Factor 76*z**5 - 3*z**3 - 151*z**5 + 78*z**5.
3*z**3*(z - 1)*(z + 1)
Determine u so that 4/5*u - 4/5*u**2 - 3/5*u**3 + 0 + 1/5*u**5 + 2/5*u**4 = 0.
-2, 0, 1
Let y be (-5)/(3/3) - -3. Let m(c) = -6*c**4 - 5*c**3. Let k(a) = -5*a**4 - 4*a**3. Let q(z) = y*m(z) + 3*k(z). Let q(o) = 0. Calculate o.
-2/3, 0
Let a(x) be the first derivative of -2*x + x**2 + 2/3*x**3 - 2 - 1/2*x**4. Let a(m) = 0. What is m?
-1, 1
Let i = -95 + 95. Solve 2/9*g**4 + i + 0*g**2 + 0*g + 0*g**3 = 0.
0
Let m(g) = -395*g**2 - 2*g + 1. Let r be m(1). Let y = 1986/5 + r. Find z, given that 0 - y*z - 3/5*z**3 + 9/5*z**2 = 0.
0, 1, 2
Let u(g) be the second derivative of g**7/2100 - g**6/450 + g**5/300 + g**3/6 + 2*g. Let x(m) be the second derivative of u(m). Factor x(q).
2*q*(q - 1)**2/5
Let h = -301 + 306. Solve 1/3*g**4 + 0*g + 1/3*g**3 + 0 - 1/3*g**2 - 1/3*g**h = 0.
-1, 0, 1
Suppose s = 1 + 1. Suppose s*d = -3*d + 15. Determine f so that -d*f - 2*f**3 - 3*f**2 - 1 - f**3 + 2*f**3 = 0.
-1
Let k(v) = 23*v**3 - 39*v**2 - 5*v + 21. Let a be 1/2*12*-1. Let w(m) = 11*m**3 - 19*m**2 - 2*m + 10. Let o(j) = a*k(j) + 13*w(j). Solve o(b) = 0.
-2/5, 1, 2
Factor -1/2*f - 1/8*f**2 - 3/8.
-(f + 1)*(f + 3)/8
Let b = 179/1146 - -2/191. Let c(w) be the first derivative of -1 + 1/10*w**5 + 0*w**2 - b*w**3 + 0*w**4 + 0*w. Factor c(y).
y**2*(y - 1)*(y + 1)/2
Let d(j) be the second derivative of 1/50*j**6 - 1/15*j**3 + 0*j**2 - 1/10*j**5 + 3/20*j**4 - j + 0. Factor d(q).
q*(q - 2)*(q - 1)*(3*q - 1)/5
Let j be ((-1)/(3/42))/(-6). Let b = j | {
"pile_set_name": "DM Mathematics"
} |
for j.
-2
Let h(z) = -z**3 - 8*z**2 + 9*z + 13. Let t be h(-9). Suppose t*b - 49 = 6*b. Suppose -5*v + 3 + b = 0. Solve v*u = -5*c + 15, -5*u - 2*c + c + 26 = 0 for u.
5
Let r(i) = -2*i**2 - 83*i - 838. Let a be r(-24). Solve -2*s = -2*p - a + 14, 3*s + 12 = 0 for p.
2
Suppose 2*t + 25 - 33 = 0. Suppose 55*b - 2*i + 8 = 57*b, 3*i - 12 = -t*b. Solve 5*a = -3*k + a - 35, b = -5*k + 5*a for k.
-5
Let k be 10*(-4 + 21/5). Suppose 5*s - 69 = k*s. Solve 4*d = 3*f - s, -4*d = f + 4*f + 15 for f.
1
Let c(h) = -h**2 + 5*h + 27. Let k be c(8). Let b(m) = m**2 + 4*m - 16. Let d be b(k). Let l be -2 + 24/4 + d. Solve -2*u + 4 = -3*r - 2, 3*u = -4*r + l for r.
0
Let f be (-4)/(-36) - (-13300)/180. Solve -5*u = c - 2, -u - 75*c + f*c = -2 for u.
0
Let j be (-6)/(-39) + 148/52. Suppose 0 = 2*s + 3*y - 1, 3*y = -j*s + 5*y + 21. Let b be (1 - 2)/((-2)/10). Solve -4*q = b*g + 14, 0 = -0*q + q + 2*g + s for q.
-1
Let y(d) = d**2 - 5*d + 3. Let g be y(6). Let n be 3 + 1426/14 - 8/(-56). Suppose 6*o - n - 117 = 0. Solve -5*l + g = -4*v, -3*v - 4*l + o = l for v.
4
Suppose 309 = 3*f - 3*r, 0*f = -2*f + r + 203. Let i = 91 - f. Let a be ((-3)/(-1))/(-1*i/57). Solve -4*y = y - 2*k + a, 2*k - 13 = 3*y for y.
-3
Suppose 476 = 4*u + 3*f - 365, 3*f = -u + 217. Let c = -203 + u. Solve r + 21 = 2*r + c*p, 37 = -3*r + 5*p for r.
-4
Suppose -15*c = -14*c - 1, 5*c = -4*g + 37. Let l be 6 + -2 + ((-12)/4)/(-3). Solve 4*q = -4*v + g, 2*q - 17 = -2*q + l*v for q.
3
Let b(h) = -h**3 + 19*h**2 + 26*h + 341. Let g be b(21). Solve -3*r = -k - g, 11*r + 5 = k + 13*r for k.
1
Let w(q) = -17*q**2 + 108*q - 33. Let k be w(6). Solve 2*z + k*n + 6 = 4, 4*n = 0 for z.
-1
Let d(m) = m**2 - 13*m - 118. Let l be d(21). Suppose -2*r - 42 = -l. Solve -3*p = -2*v + 2, r*v - 8 = 2*p + v for p.
2
Let f(p) = 3*p**3 - 58*p**2 - 37*p - 60. Let m be f(20). Solve 94 - 101 = -2*w - 5*h, 3*h - 3 = m for w.
1
Let f(l) = -l**3 + 12*l**2 - 30*l + 362. Let q be f(12). Solve q*z = -2*w + 6, -148*w + 150*w = -z + 2 for z.
4
Suppose 459 = 3*h + 339. Let v(i) = 5*i - 196. Let k be v(h). Solve -5*d = k*o, 0 = d - o + 3 + 6 for d.
-4
Let o(n) = 10*n**2 + 1. Suppose -2*c + 0 = 2. Let t be o(c). Suppose -g + 3*r + 15 = 0, 152*g - 148*g - 24 = 3*r. Solve 2*z = g*u - 3, 5*z = -2*u - 6 - t for z.
-3
Let y be ((-18)/4)/(12/(-120)). Suppose y = 3*s - 3. Suppose -o - s = -5*o. Solve 2*r - 5*z = -4*z - 2, 5*r + 2*z = o for r.
0
Suppose 67*p = 790 - 522. Solve -5*g = -15, -14 + p = -4*k - 2*g for k.
1
Let s be 22/(4 - 5) + 1 + 0. Let x = 25 + s. Solve -4 = -2*l - 2*q, 5*l - x*q = -0*q - 8 for l.
0
Let w = -7913 - -7918. Solve -2*r - 17 = 3*l, -30*l + 27*l + w*r = 10 for l.
-5
Suppose 36*a + 3*c - 5 = 41*a, 0 = a + 4*c - 22. Let n = 33 - -422. Let m be ((-1)/(-3))/(n/225 - a). Solve m = 3*p - q, -5*p - q = -p - 20 for p.
5
Let z(s) = -s + 1. Let o be z(-4). Let p = -230 + 236. Suppose -48 = -22*j + p*j. Solve 3*l + 35 = 4*w, -o*w = -j*l - 10*w + 10 for l.
-5
Let l = 150 + -146. Suppose -5*m = -l*j, 5*j - 2*m = -m + 21. Solve q = 5*q - p + 17, q = -j*p + 22 for q.
-3
Let j be 1 - 1/(1 - (-12)/(-11)). Suppose j*a + 20 = 56. Solve 1 = -4*v - 19, a*f = -3*v - 21 for f.
-2
Suppose -49*y + 820 = 722. Solve k + 4 - 1 = -y*p, -p = 3*k - 11 for p.
-4
Suppose 0 = c - 4*a + 46, 7*a = 6*c + 4*a + 192. Let z be (-8 - 0) + c + 40. Solve z*f + 4*w = 20, -9*w = -3*f - 4*w - 25 for f.
0
Suppose o + 5*u + 2 = 0, 2*u + 57 + 5 = -4*o. Let l be 33/(-77) + o/(-7). Solve -r - 6 = -l*z, 4 + 4 = -3*r + 4*z for r.
4
Let b be (-5)/55 - (4 - (-400)/(-44)). Solve 4*s - 28 = 5*w - 15, -b*w = 5*s + 40 for s.
-3
Suppose 4*d - 430 = y, 21*d + 3*y + 318 = 24*d. Suppose -h = -28*h + d. Solve -3*u + m - 1 = 13, 0 = -5*u - h*m + 5 for u.
-3
Suppose -2*w + 9 = 4*q - 41, -3*q + 6 = -9*w. Solve 278*p + 5*b + 27 = 276*p, q = -p - 2*b for p.
-1
Suppose 5*a - 40 = -4*j, 15*a - 11*a + j - 21 = 0. Let i be ((-8)/(-4))/(a/6). Solve -2*o + 13 = -2*k + 7*k, i*k + 2*o = 11 for k.
1
Suppose -128*u + 255*u - 762 = 0. Solve -u = 2*d - 2, 3*d = -4*m + 2 for m.
2
Let x(n) = 3*n - 24. Let z be x(8). Suppose 15*a - 18*a = z. Suppose 3*s + 1 - 13 = a. Solve -1 = 4*g + s*y + 19, -25 = -3*g + 5*y for g.
0
Let h be 4/(-2) - 3/((-9)/24). Suppose 5*t - 20 = t - 2*f, -2*t = 3*f - h. Suppose 18*y = 21*y - t. Solve y*g = -3*z - 1 - 6, 0 = 5*g + 5*z + 10 for g.
1
Let v = -139 + 104. Let d = v + 40. Solve d*j + 15 = -b, 3*j + b = -2*b - 9 for j.
-3
Let u = -8 - -11. Let m be (-18)/(-3) - ((19 - 7) + -9). Suppose -4*v = u*k - 4, -m*v + 3 = k - 0*v. Solve 3*l - 10 = 2*d - 0*d, k = -5*d - 3*l + 17 for d.
1
Let d be (-7)/(308/(-80)) - 4/(-22). Suppose d*m = -5*g - 35 - 25, 4*m + 20 = 0. Let v be ((-39)/(-65))/((-2)/g). Solve -c - 5*r - 6 = v, 4*r = -2*c - 6 for c.
1
Let p(l) = -13*l + 51. Let a be p(4). Let m be (a/(-2))/((-13)/(-26)). Solve s - 3*h = 6*s + 7, m = h for s.
-2
Suppose 3*x = -69*x + 1008. Solve 5*u - 31 = 3*a, 0 = x*a - 18*a - 8 for u.
5
Let d = -238 + 228. Let b be -7*(66/15 + -4)*d. Solve 3*m = -5*f + b, 2*f + 2 - 15 = -3*m for m.
1
Let p = -149 - -155. Let i be 3/9 + 4 + (-26)/p. Solve 20 = t + t - 3*g, i = -t - g for t.
4
Let m(x) = x**3 - 5*x**2 + x + 956. Let f be m(0). Let c = -956 + f. Solve c = 4*g - p, 5*g = 4*p - 2*p - 3 for g.
1
Suppose -114*l = -141*l + 27. Solve 0 = 3*k + 9, 8 + l = w - 2*k for w.
3
Let o(l) = -l - 7. Let x be o(-12). Let r(m) = m**3 + 8*m**2 - 3*m + 6. Let c be r(-9). Let q = c - -53. Solve 3*j - x - 4 = 0, q*t + 5*j - 40 = 0 for t.
5
Let n(f) = -f**3 + 4*f**2 + 2*f + 4. Let l be n(4). Let x(q) = q**3 - 26*q**2 + 177*q - 405. Let r be x(17). Solve m - 2*m - l = -3*s, r*s = -4*m - 3 for m.
-3
Suppose -3*u + 4*d = -16, 2 - 14 = -4*u - 4*d. Suppose u*p = -q + 5, 3*p + p = 4. Suppose -q = 3*s - 7. Solve -3*a - s*l = -0 - 11, 5*a = -4*l + 21 for a.
1
Let m = -1520 + 1521. Solve -3*l = -4*g + 28, -4*g + 45 = -5*l + m for g.
1
Let a(y) be the third derivative of 5*y**4/12 - 2*y**3/3 + y**2. Let p = 7953 - 7952. Let k be a(p). Solve -2*d + k*d - 11 = -l, -4*d = -l - 5 for d.
2
Let y = 16 - 13. Let q be (-2)/(24/51) - y/4. Let z be (0 - q) + (-10 - -7). Solve 5*b - 2*m = -16, 11 = z*b + 4*m + 3 for b.
-2
Suppose 0 = -q - h - 160, -645 = 4*q + h - 2*h. Let a = q - -165. Solve 3*b = -x - 5, a + 7 = -3*b + 5*x for b.
-2
Suppose -102 = 3*j - 5*h, 0 = -5*j + 3*h - 168 + 14. Let y = 28 + -52. Let r = y - j. Solve 4*q - 5*z = -1 - 16, 0 = -r*q + z - 16 for q.
-3
Suppose -3*p + 7 = -4*n, -260*p + 3*n = -265*p + 60. Suppose 0*t + 3 = -t - 5*i, 0 = t - 2*i - 4. Solve 3*v + 2*k = -5 - p, -t*v - 24 = 5*k for v.
-2
Suppose -17*k = 5*k - 2860. Let l = -128 + k. Solve 3*h + 5 = v, 5*h - 3 + 13 = l*v for v.
5
Let b = 22344 + -22344. Solve b = 2*q - d - 3 - 9, 2*d = -4*q + 16 for q.
5
Let t(d) = -d**2 - 46*d + 147. Let v be t(3). Solve v = -2*w - 4*y + 2, -7*w - 3*y = -9*w - 5 for w.
-1
Let u be ((-6)/(-36)*0)/((-15)/(-3)). Suppose 5*n = 3*i + 82, u = -n + 64*i - 65*i + 10. Solve 3*c = -2*t - n, 2*c + t = 1 - 9 for c.
-2
Let a(g) = -g**2 + 44*g - 79. Let h be a(2). Solve i = l + 3*i - 6, 2*i = -h*l + 14 for l.
2
Let l = -1325 + 1330. Solve 2*f - l*n + 1 + 7 = 0, 4*f = 5*n - 6 for f.
1
Let x(f) = -2*f + 13. Let g be 25 + -23 - (-39 + 0). Let c = 46 - g. Let n be x(c). Solve -5*t + 31 = -4*k, 5*k - 4*t = -n*t - 23 for k.
-4
Suppose -227 = 10*m - 247. Solve -2*g - m*y = -0*y - 12, 5*y = g + 18 for g.
2
Let d(t) = -7*t**2 + 511*t + 28. Let v be d(73). Solve u + 1 = w, 48*w - 45*w - v = -2*u for u.
5
Let c = -2525 + 2530. Solve -3 = 4*b - 7*b + 3*h, c*b = -h - 1 for b.
0
Let t be 4 + 44/(-12) - 1/3. Let m be (1 + t)/(12/60). Solve 0 = 3*x - 4*w + w - 6, -x = -m*w - 14 for x.
-1
Let h = -483 - -486. Solve -5*d = q - 15, -2*d - d = h*q - 21 for d.
2
Let d be (-93)/310 + 6806/20. Let s = d - 338. Solve -l = -y - 1, -y = -2*l + 4 + s for l.
5
Suppose 4779 = 18*f + 82*f + 77*f. Solve 5*t - 3*t = 3*z + 3, f = -5*z - 4*t for z.
-3
Let r(p) = -p**3 + 8*p**2 + 48*p. Let f be r(-4). Solve f*a = 4*o - a + 32, -5*o - 47 = -3*a for o.
-7
Let s = 316 + -313. Suppose -s*u - 2*d = -37, 3*u - 4*d - 43 = -9*d. Solve -5*w = 2*c - 4*c - u, -3*w = 2*c - 13 for c.
2
Suppose 5*n = 4*i + 19, -7*n + 2*n - 2*i = -13. Let g be (4/(-3))/((-16)/108*n). Solve 12 = 4*a + 5*v + 2, -g*a + 3*v = -21 for a.
| {
"pile_set_name": "DM Mathematics"
} |
What is the derivative of 1 + 0 + d + 3*u**4 wrt u?
12*u**3
Let j = 356/75 + -52/25. Let k(h) be the first derivative of -8/5*h**5 + 0*h**4 + 0*h**2 - j*h**3 + 0*h - 8. Find the third derivative of k(a) wrt a.
-192*a
What is the third derivative of 239*p**5 + 106*p**4 + 2 - 313*p**4 - 77*p**2 + 102*p**4 + 105*p**4 wrt p?
14340*p**2
Find the third derivative of 0 + 4*b**4 - b**2 - 8 + 2*b**3 + 7 + 17 wrt b.
96*b + 12
Let g(r) be the first derivative of 251*r**2 + 537*r + 328. Differentiate g(c) wrt c.
502
Let p(f) = f + 18. Let s be p(-6). Let t = s - 10. What is the third derivative of 2*a**t + a**2 - 3*a**6 - 4*a**2 + 4*a**6 wrt a?
120*a**3
Find the third derivative of 40013*u**2 + 1 + 179*u**4 - 39777*u**2 - 1 + 2*u**5 wrt u.
120*u**2 + 4296*u
Let l(d) be the first derivative of 0*d - 17/2*d**2 + 0*d**3 + 15/4*d**4 - 2. What is the second derivative of l(m) wrt m?
90*m
Let v be -1*(-4)/(-14) - (-172)/14. Differentiate -4*q + 0*q - v*q - 34 with respect to q.
-16
Let c(a) be the second derivative of 3*a**8/56 + a**5/6 + 25*a**2/2 - 17*a. Let g(q) be the first derivative of c(q). Find the third derivative of g(x) wrt x.
1080*x**2
Let o(s) = -s**3 + 13*s**2 + 31*s - 14. Let h be o(15). Find the second derivative of -32*x - 303*x**2 + 303*x**2 - 41*x**5 - x**5 + h wrt x.
-840*x**3
Let n(x) = 159*x**4 - 3*x**3 + 3*x**2 + 44. Let c(b) = 478*b**4 - 10*b**3 + 10*b**2 + 134. Let q(s) = -3*c(s) + 10*n(s). Differentiate q(l) wrt l.
624*l**3
Suppose 9*k = 4*f + 6*k - 155, -5*f = 3*k - 187. What is the third derivative of -40*m - 12*m**6 - m**5 + f*m + 20*m**2 + 6*m**6 wrt m?
-720*m**3 - 60*m**2
Suppose -2*b - 96 = -6*b. Suppose b + 6 = 5*u. Find the first derivative of -3*x**2 + u*x**2 + x**4 - 3*x**2 + 3 wrt x.
4*x**3
Let k(l) = -9*l**3 + 2*l + 25. Let f(a) = -8*a**3 + 2*a + 26. Let z(d) = 3*f(d) - 4*k(d). What is the derivative of z(g) wrt g?
36*g**2 - 2
Let a = 6 + -5. What is the second derivative of -h - 1 - 3*h**2 + a wrt h?
-6
Let o(c) be the first derivative of -c**6/40 - 31*c**4/24 + 6*c**2 + 29. Let h(x) be the second derivative of o(x). What is the second derivative of h(d) wrt d?
-18*d
Let g(y) = -108*y**3 + y**2 + 31. Let r(f) = 108*f**3 - f**2 - 35. Let t(a) = -7*g(a) - 6*r(a). What is the third derivative of t(b) wrt b?
648
Let o be ((-1)/5)/(6/(-15))*6. What is the third derivative of 9*y**3 - 2*y**3 - 8*y**2 - 26*y**o wrt y?
-114
Suppose 2*r - 7 = -r - j, -5*r - 4*j = -14. Suppose 0 = 4*i - 8. What is the second derivative of q**r - i*q - 2*q + 3*q**2 wrt q?
8
Suppose p = 3*z - 4, -5*p - 2*z + 8 = -6. Differentiate 26*r**p - 3 - 3 - 54*r**2 + 20*r**2 wrt r.
-16*r
Find the second derivative of 84*s - 2 - 198*s**3 - 76*s + 69*s**3 wrt s.
-774*s
Let i(p) = -81*p**2 - 6*p + 28. Let t(o) = -82*o**2 - 4*o + 29. Let u(z) = 2*i(z) - 3*t(z). What is the first derivative of u(l) wrt l?
168*l
What is the second derivative of 3*u**3 - 1 + 2*u**2 - 152*u + u**3 + 153*u + 0*u**2 wrt u?
24*u + 4
Let x(v) = v**5 + v**4 - v + 1. Let c(u) = -231*u**5 + 2*u**4 + 12*u + 3. Let h(k) = -c(k) + 2*x(k). What is the second derivative of h(j) wrt j?
4660*j**3
Let s(d) be the third derivative of 1/30*d**5 + 0 + 0*d**4 - 6*d**2 + 7/6*d**3 + 0*d. Differentiate s(z) with respect to z.
4*z
Let l(q) be the second derivative of -61*q**4/2 - 12*q**3 - 3*q**2/2 + 2*q + 30. What is the second derivative of l(w) wrt w?
-732
Let h(c) be the first derivative of 14/3*c**3 - 7*c**2 + 0*c + 9. Find the second derivative of h(k) wrt k.
28
Find the second derivative of -10*v**4 + 17*v**4 + 0 + 2*v + 16*v**4 + 1 wrt v.
276*v**2
Let w = -9 + 13. Find the second derivative of -85*i + 84*i - 6*i**w - 13*i**4 wrt i.
-228*i**2
Let v(h) be the first derivative of -2*h**2 - 51 - 236*h + 193*h + 0*h**2. Find the first derivative of v(u) wrt u.
-4
Let q(j) be the first derivative of -3*j**7/70 + j**4/8 - j**2/2 - 5. Let w(u) be the second derivative of q(u). What is the second derivative of w(a) wrt a?
-108*a**2
Let k(j) = 5*j**4 - 7*j**3 - 46*j**2 + 2*j. Let v(o) = 19*o**4 - 28*o**3 - 185*o**2 + 9*o. Let r(c) = 9*k(c) - 2*v(c). Find the third derivative of r(a) wrt a.
168*a - 42
What is the first derivative of 8 + 13 - 195*k + 165*k - 376*k + 11 wrt k?
-406
Let v(b) be the third derivative of b**9/1512 + b**6/72 + 13*b**3/6 + 3*b**2. Let g(i) be the first derivative of v(i). Find the third derivative of g(f) wrt f.
120*f**2
Suppose -11 = 3*d - 17. What is the third derivative of -3*c**5 + c**5 + 4*c**d - 29*c**6 + 2*c**5 wrt c?
-3480*c**3
Suppose -4*t - 15 = -43. Find the second derivative of 8*x**4 - t*x - 2*x - 6*x + 4*x wrt x.
96*x**2
Find the second derivative of -23*y - 134*y**4 - 6*y - 105*y + 43*y**4 wrt y.
-1092*y**2
Find the first derivative of 23*n + 319*n**4 - 320*n**4 - 101 + 13*n wrt n.
-4*n**3 + 36
Suppose u = -2*u - 3*q, -3*q = 12. Find the second derivative of -3*k**u + 0*k**4 - 12*k + 2*k**4 + 10*k**4 wrt k.
108*k**2
Find the second derivative of -r - 10*r - r**4 + 22*r - 7*r - 6*r + 232 + 3*r**5 wrt r.
60*r**3 - 12*r**2
Let y be -1*1/1*-1. Let n(l) = 35*l - 17*l - 1 - 18*l - l**2. Let o(s) = 9*s**2 + 13. Let d(m) = y*o(m) + 6*n(m). Differentiate d(z) with respect to z.
6*z
Let a(m) = -m. Let z(c) = -76*c + 107. Let j(b) = 4*a(b) - z(b). Differentiate j(w) with respect to w.
72
Let a be (6 - (-13)/(-2))*-4. Let y(d) = d**2 - 2*d + 1. Let c be y(3). What is the second derivative of -2*p**c - p - 6*p**5 + p**5 + a*p**4 wrt p?
-100*p**3
Suppose 3*i - 2*i = 0. Suppose 0 = -f + t + 5, -2 = -2*f + 7*f + 4*t. Find the second derivative of i*v**2 + f*v**2 - v**2 - 3*v wrt v.
2
Let l(x) be the first derivative of -106*x**5 + 22*x**3 + 2*x**2 - 629. Find the third derivative of l(j) wrt j.
-12720*j
Let l(a) be the third derivative of a**6/40 - a**4/3 - 125*a**3/6 - 112*a**2 + a. Differentiate l(d) with respect to d.
9*d**2 - 8
Let y(q) be the first derivative of 142*q**3 + 507*q - 320. Find the first derivative of y(v) wrt v.
852*v
Let p be (-3)/9 + 20/6. What is the third derivative of -b**6 + 34*b**3 - 22*b**2 - 9*b**2 + 0*b**6 - 14*b**p wrt b?
-120*b**3 + 120
Let b(v) be the third derivative of 37*v**6/60 - v**4/24 - 35*v**3/3 + v**2 + 26*v. What is the second derivative of b(j) wrt j?
444*j
Let i(y) be the first derivative of -37*y**6/2 - 2*y**2 - 17*y - 330. Find the second derivative of i(p) wrt p.
-2220*p**3
Suppose -8*n + 17*n - 90 = 0. What is the second derivative of 12*d - 7 - 18 + n*d**4 + 25 wrt d?
120*d**2
Let w = -13 + 8. Let g be ((-3)/5)/(1/w). Find the third derivative of k**2 - 2*k**2 + 0*k**3 - 5*k**g wrt k.
-30
Let k(p) be the third derivative of 0*p**4 + 0 + 0*p - 4*p**2 + 1/4*p**5 - 1/12*p**6 + 0*p**3. Find the third derivative of k(x) wrt x.
-60
Let n(q) be the first derivative of -q**7/210 - 3*q**4/8 - 8*q**3/3 + 4. Let z(k) be the third derivative of n(k). Differentiate z(v) wrt v.
-12*v**2
Let c(x) be the third derivative of x**4/24 - x**3/2 - 3*x**2. Let i be c(8). What is the second derivative of -o**2 + i*o**2 + 4*o + o**2 - 2*o**2 wrt o?
6
Let o(d) = 234*d**3 + 27*d**2 - 31. Let q(r) = -78*r**3 - 10*r**2 + 10. Let m(l) = -4*o(l) - 11*q(l). What is the third derivative of m(y) wrt y?
-468
Let h = 2243/6720 - 1/2240. Let t(v) be the third derivative of 0 - 5*v**2 + 0*v + 1/24*v**4 + h*v**3. Differentiate t(k) with respect to k.
1
Let u be (9 - 4)*4/10. What is the first derivative of -9*c**u + 21 + 2*c**2 + 38*c**2 wrt c?
62*c
What is the first derivative of -4 + 0*f**2 + 19*f**3 - f**2 - 57 - 48 wrt f?
57*f**2 - 2*f
Suppose -5*w + 4*m - 1 = -11, -3*w + 6 = -m. What is the third derivative of w*r**6 + 111 - 111 + 30*r**2 wrt r?
240*r**3
Suppose 13 = 6*r - 17. Find the third derivative of -5*w**r + 0*w**5 - 2*w**5 - 11*w**2 wrt w.
-420*w**2
Let j(a) be the first derivative of 2*a**5/5 + 13*a**3 + 144. What is the third derivative of j(h) wrt h?
48*h
Let h(a) be the third derivative of -221*a**6/120 - a**5/60 - 215*a**3/6 - 211*a**2. What is the first derivative of h(r) wrt r?
-663*r**2 - 2*r
What is the second derivative of 6*n**4 - 2*n + 4*n - 8*n**2 + 2*n**2 - 226 wrt n?
72*n**2 - 12
Suppose -f - 13 = -15. Let t(i) be the first derivative of 5/3*i**3 + i**f - 4 + 0*i. What is the second derivative of t(u) wrt u?
10
Let r(d) be the first derivativ | {
"pile_set_name": "DM Mathematics"
} |
- 2*x**2 - 2*x**2)*(-13 - 15 - 10) + 2*x - 2*x**2 - 2*x + (-x - 5*x + 4*x)*(-2*x + 2*x - 2*x).
115*x**2
Expand (172*k - 39574 + 39574 + 2*k**2)*(k - k + k).
2*k**3 + 172*k**2
Expand (-2*s**2 - s**2 + 2*s**2)*(3*s - 2*s + s)*(-3257 + 3257 + 168*s).
-336*s**4
Expand (-b - b + 4*b + (-6 + 1 + 3)*(382 - 24*b - 382) - 2*b - b + 0*b)*(-3*b**3 - b**3 + 3*b**3).
-47*b**4
Expand -7*r + 3*r - 2*r - 4*r + 4*r + r - 5*r - r + 5*r - 1 + 1 + 2*r + r + 2 - 2 + (0 + 0 - 2*r)*(5 - 4 + 1) - r + r + 2*r + 8*r - 66*r + 2 - 24*r.
-87*r + 2
Expand -7*a**5 - 1 + 1 + (2*a**5 + 3*a**2 - 3*a**2)*(-4 - 1 + 0).
-17*a**5
Expand (3 + 2*w**2 - 3)*(5*w**2 - 3*w**2 - w**2) + (0*w**3 + 5*w**3 - 3*w**3)*(-2*w + 3 - 3) + (0*w**2 - 7*w**2 - w**2)*(-4*w**2 + 3*w**2 - 4*w**2).
38*w**4
Expand (3*u + u - 2*u)*((-3 + 3 - 1)*(-1 + 3 - 1) + 0 + 0 + 5 - 1 + 2 + 3).
16*u
Expand (3*o - 7*o + 2*o)*(-1 + 1311*o**2 + 1 - 1177*o**2).
-268*o**3
Expand (-5 + 2 - 1)*(0*m**5 + m**5 + m**5) - 3*m**5 - 3*m**5 - 2*m**5 + (m + 0*m - 3*m)*(169*m - 169*m + 8*m**4).
-32*m**5
Expand -t - t + 7*t**3 - 4*t**3 + (t**2 - 3*t**2 + 3*t**2)*(3*t + 2*t - 4*t) + 0*t**3 + 3*t**3 - t**3 - 8*t**2 + 13*t**2 + 6*t**3 - t**2.
12*t**3 + 4*t**2 - 2*t
Expand (5*c**2 - 2*c**2 - c**2)*(-5549*c**2 + 2*c**3 + 2*c + 5549*c**2).
4*c**5 + 4*c**3
Expand (-3 + 3 + 3*l**3)*(-3*l**2 + 3*l**2 + l**2 + (1 - 1 + l)*(-l - 3*l + 2*l) + 223 - 223 - 4*l**2).
-15*l**5
Expand (3*s + 0*s - 124 + 48)*(s**3 + 0*s + 0*s).
3*s**4 - 76*s**3
Expand (-q + 2*q + q)*(21*q**2 - 81 + 81).
42*q**3
Expand (-g**3 + 0*g**2 + 0*g**2)*(-113 - 7*g + 23*g**2 + 115 - 19*g**2).
-4*g**5 + 7*g**4 - 2*g**3
Expand (-3*j + 4*j - 3*j)*(-4*j + j + 4*j)*(-602 - 22*j + 602).
44*j**3
Expand (-2*m**2 - 4*m**2 - m**2)*(2*m - m + 2*m) - m**3 - 2*m**3 + 2*m**3 - 10*m**3 + 17*m**3 - 9*m**3.
-24*m**3
Expand (0*v + 0*v + 5*v + (4 - 6 + 3)*(-v - 3 + 3))*(-4*v**2 - 3*v**3 + 4*v**2 + (0*v**3 + 0*v**3 - 4*v**3)*(2 + 2 + 1)).
-92*v**4
Expand -14 + 4*r + 14 + (2 - 2 + 2)*(-r + r - 2*r) + 8*r - 4*r + 3 - 2*r.
2*r + 3
Expand (15 + 2*d**2 - 15)*(0 - 2 + 3)*(1 + 7 + 0).
16*d**2
Expand (2*o + o - 2*o)*(8*o**4 + 0*o**4 + o**4)*(-2 + 5 - 1)*(1 + 1 - 4).
-36*o**5
Expand (-o**2 - 5*o + 5*o)*(9 - 12 + 26 + 82).
-105*o**2
Expand -2 + 95*r + 96*r - 189*r + 13*r**2 + (-2*r - 1 + 1)*(0*r + 4*r - 2*r) - 2*r + r**2 + 2*r.
10*r**2 + 2*r - 2
Expand (q**2 + 66*q - 14 - 139*q + 71*q)*(10 + 4 + 0).
14*q**2 - 28*q - 196
Expand (4 - 4 + 1)*(-1024*x**4 - 1397*x**4 + 193*x**4).
-2228*x**4
Expand (2*g**3 + 5*g**3 + 3*g**3)*(-8*g - 10*g + 3 + 10*g).
-80*g**4 + 30*g**3
Expand (4*o + 5*o - 5*o)*(-o**4 + 2*o**4 + o**4) + 0*o**5 + o**5 + o**5 + (0*o**4 - 3*o**4 + 2*o**4)*(-3*o + 4*o + 0*o) - o**5 - 5*o**5 + 3*o**5.
6*o**5
Expand (-59*n - 115 + 115)*((n + n - 3*n)*(-2 - 6 + 5) + (1 + 1 + 0)*(-3*n + 2*n + 2*n)).
-295*n**2
Expand -486*o**2 + 158*o**2 + 150*o**2 + (2*o - 2*o + o)*(2*o + 4*o - 4*o).
-176*o**2
Expand (7 - 2 - 3)*(-23*v**3 + 4*v - 4*v) - 2*v**3 + 2*v**3 - 2*v**3 + v**3 - 2*v**3 - v**3 + (-4*v**2 + v**3 + 4*v**2)*(0 + 2 - 4) - v**3 + v**3 - v**3 + v.
-53*v**3 + v
Expand (1 - 2 + 0)*(-2 + 0 - 1)*(6*r + 3*r - 4*r)*(1 + 1 - 6)*(0 + 1 + 0).
-60*r
Expand (-4 + 4 - 3)*((-3*m + 6*m - m)*(2*m**4 - 5*m**2 + 5*m**2) + 674*m**3 - 546*m**5 - 674*m**3).
1626*m**5
Expand (-4*z**2 - 3*z**2 + 8*z**2 - 28*z**5)*(4 - 1 - 1).
-56*z**5 + 2*z**2
Expand (-a + 3*a + 0*a)*(-338*a - 439*a - 61*a) + (-5*a + a**2 + 5*a)*(-1 + 3 - 1).
-1675*a**2
Expand (-2*o - 1 + 1 + (0*o - 2*o + 3*o)*(0 - 3 + 2))*(15*o + 15*o - 9*o)*(8 - o - 8).
63*o**3
Expand (-2*i - i**2 + 2*i)*(-3 - 3 + 4) - i - 337787 + 15*i**2 + 337787.
17*i**2 - i
Expand (2*n**2 - 3 + 1 - 5*n**2)*(-4*n + 0*n + 5*n) + (0 + 0 - 2*n)*(6*n**2 + 0*n**2 - 18*n**2) + 2*n**3 + 0*n**3 + 2*n**3.
25*n**3 - 2*n
Expand ((-121 + 9*w + 121)*(12*w - 18*w**2 - 12*w) + w**2 - 2*w**3 - w**2 + (-4 + 4 + w**3)*(3 + 1 - 3))*(-2*w**2 - 2*w**2 + 6*w**2).
-326*w**5
Expand (-l**2 - l**2 + 4*l**2 + 2*l**2 + 0*l**2 - l**2 + (-1 + 1 - 3*l)*(-4 - l + 4) + 2*l**2 + 0*l**2 + 0*l**2)*(13*l**2 - 9 + 9).
104*l**4
Expand (-3 + 3 - t)*(5 + 63 - 11)*(0 + 3 - 5).
114*t
Expand (u**3 - 2*u**3 + u + 0*u)*(-4*u + u + 4*u + (-5*u + 4*u - 4*u)*(1 - 4 + 2) + (-2 + 2 + 2*u)*(0 + 5 - 3) + 4*u - u - u).
-12*u**4 + 12*u**2
Expand (-3 - 1 + 2)*(-4 + 2 + 4)*(-1 + i + 3 - 1)*(i - i + 8*i**2).
-32*i**3 - 32*i**2
Expand ((-s**2 + s**2 + s**2)*(2 - 5 + 1) - 3*s + 3*s + s**2)*(-105*s + 119*s - 79*s).
65*s**3
Expand (0 - 1 + 2)*(3*f + 3*f - 3*f) + (-1 - 1 + 1)*((-f - 3 + 3)*(-4 + 4 + 1) - f - 2*f + 5*f - f - 2*f + f).
4*f
Expand (-235*l - 229*l + 462*l - 5*l**2)*(0 + 0 + 2*l).
-10*l**3 - 4*l**2
Expand (4*q**2 - 13*q**2 - 6*q**2 + (2 - 1 + 0)*(2*q**2 - 1 + 1))*(q**3 + 0*q**3 - 2*q**3).
13*q**5
Expand (-42 - 8 - 27)*(4 - 4 - r)*(-2*r + 3*r + 0*r)*(2 - 1 - 4).
-231*r**2
Expand -h**2 + 5*h**2 - 3*h**2 - 4 - h + 4 + h**2 + (h - 2*h - 2*h)*(2*h + 3*h - 3*h) - h**2 - h**2 + 4*h**2.
-2*h**2 - h
Expand -8*o**2 + 8*o**2 + o**3 - 2*o + 9*o**3 - 5*o**3 + 8*o**3 + (2*o**2 + 4*o**2 - 4*o**2)*(-2*o - o + 5*o).
17*o**3 - 2*o
Expand (y + 3*y - 3*y)*(-y - 4 + 4) + 0*y**2 + 253*y**2 - 9*y**2.
243*y**2
Expand (1 - 2*o - 1)*(0 + 0 - 3)*((-25 + 43 + 39)*(0 + 5 - 3) + 6 - 3 - 1).
696*o
Expand (6*a**2 - a**2 - a**2 + (-3*a + 2*a + 0*a)*(-2*a + 2*a + 2*a) - 30*a**2 - 58 + 58)*(3*a - 4*a + 3*a).
-56*a**3
Expand (7 + 1 + 0)*(-9 - 2*r**3 + 5*r**3 - 4*r**3).
-8*r**3 - 72
Expand 29*s + 57*s - 42*s + 2*s + 0*s + 0*s + (1 - 2 + 3)*(0*s - s + 3*s) + 0*s - 2*s + 3*s.
51*s
Expand (x + 2*x - 2*x)*(x + x - 4*x) - 9*x**2 + 1 - 3 + 10*x**2 - x**2 + 0*x**2 + 0*x**2.
-2*x**2 - 2
Expand -2*r + 2*r - r**2 + (-2*r - 1 + 2 + 4*r)*(-25 - 18 + 4)*(r + 6*r - 5*r).
-157*r**2 - 78*r
Expand (p + 0*p + p)*(-13 - 9*p - 35 - 27 - 24).
-18*p**2 - 198*p
Expand (-750 - 451 + 263)*(-2*d + 1 - 1).
1876*d
Expand (0 + 1 - 10 + (1 + 3 - 6)*(0 + 2 + 0))*(3*r - 7*r - 2*r).
78*r
Expand (-3*n - 8*n + 2*n)*(13 + 2 + 18).
-297*n
Expand -3*n**3 + 25*n**3 + 3*n**3 + (3 - 4*n**2 - 5 + 5*n**2)*(-n - 3*n + 6*n) + 17 - n**3 - 17.
26*n**3 - 4*n
Expand (-3*z + z + 0*z)*(88*z**3 - 82*z**3 - 246*z + 451*z).
-12*z**4 - 410*z**2
Expand (2 - 4 + 4)*(53*u - 41*u + 92*u)*(-2 + 2 + 2).
416*u
Expand (2*q**2 + 3*q**2 - 3*q**2)*(-4*q - 77 + 77).
-8*q**3
Expand (1 - 3 + 3)*(-81*l**2 + 357 - 357) - l**2 - 3*l + 5*l**2 + 2*l**2.
-75*l**2 - 3*l
Expand -294*x**2 + 88*x**5 + 294*x**2 - x**3 + x**5 - 2*x**5 + 0*x**5 + (-2*x + 0 + 0)*(-x**4 - 2 + 2) - x**5 - x**5 + 4*x**5 + 0*x**5 + 3*x**5 - x**5.
93*x**5 - x**3
Expand 4*i**4 - 2*i**4 + 13*i**4 + (-1 + 1 + 2*i)*(0*i**3 + 14*i**3 + 25*i**3).
93*i**4
Expand (55*t**4 + 3*t**4 + 26*t**4)*(4*t + 2*t - 5*t).
84*t**5
Expand 2*p + 4*p**4 + 12*p**4 - 8*p**4 + (1 - 5 + 3)*(0*p**4 + 0*p**4 - 2*p**4) + 3*p + 2*p**4 - 3*p + (-2*p**3 + 2*p**3 - 2*p**4)*(-2 + 0 - 1).
18*p**4 + 2*p
Expand (30*m - 14*m - 27*m)*(2 - m - 2).
11*m**2
Expand (-5 - 5 + 5)*(3*x - 3*x + x)*(-11 + 3 + 3).
25*x
Expand (3*c + c - c)*(-4 - 4*c + 2*c**2 - 6*c + 6).
6*c**3 - 30*c**2 + 6*c
Expand (-47*t**3 + 105*t**3 + 93*t**3 + (-5 + 5 + t**2)*(t + 0*t + 0*t))*(-t - 2*t - t).
-608*t**4
Expand (-2*n**2 - n**2 + 6*n**2)*(56 + 56 - 108).
12*n**2
Expand (-611*l**2 + l - 4*l + 594*l**2)*(2*l - 8 - 2 + 4).
-34*l**3 + 96*l**2 + 18*l
Expand (5 - 5 - 4*j)*(-42*j + 5060 - 5060)*(-1 + 1 + 2*j).
336*j**3
Expand (2*o + 1 - 1)*(0*o - 8*o + 2*o) + 0*o**2 - o**2 - o**2 + 2*o**2 + 0 + 0 + (o**2 - 3*o**2 + o**2)*(-3 - 1 + 2).
-10*o**2
Expand -3*p**2 - 4*p**2 + 6*p**2 - p**2 + 6*p**2 - 3*p**2 + (-5 + 2 + 4)*(1365*p**2 - 1353*p**2 + 557*p**2).
570*p**2
Expand b**2 - b**2 - 2*b**2 + (7*b + 0*b + 6*b)*(64 - 64 - b).
-15*b**2
Expand 25*q**3 + q**5 - 25*q**3 + 2*q**5 + 4*q**5 - 5*q**5 + (-1 + 1 + 2*q)*(2*q**4 - q**2 + q**2) + 189 - 27*q**5 - 189.
-21*q**5
Expand (3*t**2 + 0*t**2 + 5*t**2)*(t - 6*t + 0*t) - 9 + 9 - 4*t**3 + (2*t - 2*t + t**2)*(0*t - 2*t + 0*t).
-46*t**3
Expand (-257*b**2 + 188*b - 188*b)*(4 + 0 - 5)*(-2*b + 4*b - 3*b).
-257*b**3
Expand (9*a + 4*a + 4*a + (35 + 41*a - 35)*(-1 - 1 + 4))*(0*a - 1 + 2*a + a).
297*a**2 - 99*a
Expand (0*t**2 - t**4 + 0*t**2)*(-8 + 8 - 8)*(5 + 6 - 9 + 17).
152*t**4
Expand (-2*b**2 + b**2 - b**2)*(0 + 0 + 3*b)*(3*b + 0*b - 4*b + (-b + 0*b - b)*(-3 + 3 + 1) - b - 1 + 1 - 6*b + 6*b + 3*b).
6*b**4
Expan | {
"pile_set_name": "DM Mathematics"
} |
-0.2, -5/2, -60, -2/13, -0.13, -21?
-21
Which is the sixth smallest value? (a) 97 (b) -2 (c) -0.5 (d) -4 (e) -0.3 (f) -32
a
What is the third smallest value in 2, -0.01752, -8, 3.8?
2
Which is the third smallest value? (a) -3 (b) 30.748 (c) 0.1
b
Which is the fourth smallest value? (a) 2/9 (b) 3 (c) -0.9 (d) -14 (e) -63/11 (f) -1 (g) 6
c
What is the second smallest value in -0.5, 7, -2/23, -114, 5/2?
-0.5
What is the seventh biggest value in -7/297, -3/5, -0.1, -0.3, -2/3, 0.09, 0.048?
-2/3
Which is the biggest value? (a) -4811 (b) 1027 (c) 0.1 (d) 0
b
Which is the third smallest value? (a) 87 (b) -3 (c) 61 (d) 0.4 (e) -18 (f) -4
b
Which is the fifth biggest value? (a) 1 (b) -0.3 (c) -2/5 (d) -1/4 (e) -0.035 (f) -1/10 (g) -83
b
Which is the fifth smallest value? (a) -2116 (b) -5 (c) -18 (d) 0 (e) 2/15
e
What is the second smallest value in 1/7, -92, 0, 143, -2/7, -16, -1?
-16
Which is the fourth biggest value? (a) 11/2 (b) 43 (c) 5 (d) 1 (e) 0.2 (f) 9 (g) 2
c
What is the second biggest value in -1, 103/2, 3962, -3?
103/2
Which is the second smallest value? (a) 0.4 (b) -3/4 (c) 3 (d) 3/11 (e) -9551
b
What is the biggest value in -0.3, -12, 52/3, 0.0167?
52/3
Which is the biggest value? (a) 44 (b) 4 (c) 7 (d) 1580 (e) 0.5
d
Which is the fourth smallest value? (a) -44 (b) -1/4 (c) 0.014 (d) 0.8
d
Which is the fifth biggest value? (a) 16/3 (b) 4 (c) 0.03 (d) -0.05 (e) 3/17
d
Which is the fifth smallest value? (a) 0 (b) 16/49 (c) 12 (d) 0.4 (e) -42 (f) 1/3
d
Which is the fourth biggest value? (a) 2 (b) -0.2 (c) 1 (d) 9 (e) 0 (f) -93 (g) 94
c
What is the fifth smallest value in -108, -60, 3, 0, 0.5, -5, -1?
0
Which is the fifth smallest value? (a) -60.57 (b) -3 (c) 66.8 (d) -2 (e) -0.2
c
What is the second smallest value in -5/4, 5, 0.395008, 4/33?
4/33
Which is the second biggest value? (a) -909301 (b) -5 (c) 0.1
b
What is the biggest value in 3, -8/851, -10, 0, 0.4, -1?
3
What is the third smallest value in 1.694, 0.22, -0.58?
1.694
Which is the second biggest value? (a) 25 (b) -0.5 (c) 0.86 (d) 709/6 (e) 0
a
What is the smallest value in -3/4, -425, 0.3, 1, 2/3?
-425
Which is the biggest value? (a) -6964 (b) 4 (c) -1/5 (d) 3/29
b
What is the sixth biggest value in -0.2, -3, -1.31, -2, 108, 1434?
-3
Which is the biggest value? (a) 2/9069 (b) -1 (c) 233 (d) -0.4
c
What is the fourth biggest value in -18/11, -0.4, -2/9, -1, -0.135, 4, -26?
-0.4
What is the second smallest value in -15, -2/13, -1036/5?
-15
What is the second smallest value in -5, -2/13, 0.1, -0.3, -2/6327, -93/22?
-93/22
What is the fifth smallest value in 124, -5, 5, -60, 26?
124
Which is the third biggest value? (a) 2/11 (b) 64/99 (c) -1 (d) -0.345
d
Which is the smallest value? (a) 1/153264 (b) 2 (c) -0.04
c
Which is the fourth smallest value? (a) -2/49 (b) -67 (c) 5/16 (d) 0
c
What is the biggest value in 1/3, -39846, 74/21?
74/21
What is the third smallest value in -3489, 31, -2/9, 3/11?
3/11
Which is the smallest value? (a) 0.06 (b) 11 (c) 9 (d) -0.99921
d
Which is the third biggest value? (a) -1/6 (b) 960931 (c) 1/3
a
What is the third biggest value in 1.5, -137/4, -1, 0, -226?
-1
What is the fourth smallest value in -1.388, -4, 10, 7/2, 9?
9
What is the third biggest value in 1, -21, 195/4, -0.06?
-0.06
What is the third smallest value in 0.015, 1485, -10.1?
1485
What is the sixth biggest value in 0, 85, -21, -4, 7/5, -0.34?
-21
Which is the second biggest value? (a) 1055 (b) 0.2 (c) -1/5 (d) -0.91
b
Which is the fifth smallest value? (a) 1/3 (b) 0.059 (c) -3/5 (d) -3 (e) 0.19 (f) 0
e
Which is the biggest value? (a) 0.41 (b) 0.11 (c) 0.1 (d) 53805
d
What is the smallest value in 2449810, -4, -12?
-12
Which is the fourth biggest value? (a) -2 (b) 0.4 (c) -110 (d) 1436
c
What is the third biggest value in 1670.15, 1/7, -1, -27, 5?
1/7
Which is the biggest value? (a) 5 (b) -241651.4 (c) 0
a
Which is the fourth smallest value? (a) -0.04 (b) -5 (c) 48 (d) -2/39 (e) 152 (f) -2/7
a
What is the second smallest value in -25, 3, 4/7, -2, -27/8, -1, -6?
-6
Which is the biggest value? (a) -4823 (b) -14/73 (c) 4
c
What is the biggest value in -16, -7, -4/25, -1, -75?
-4/25
What is the sixth smallest value in 2/13, -0.3, 3, -0.7, -10206, 0.51?
3
Which is the fifth biggest value? (a) 10.7 (b) -4 (c) 0.07 (d) -1/3 (e) 21/8 (f) 2
d
Which is the third smallest value? (a) -14184.1 (b) 5 (c) -3 (d) 4 (e) 0.9
e
What is the biggest value in -0.1, -56, -93, -5, -4, 2.58?
2.58
What is the third smallest value in -0.1, 11.3, -4053375?
11.3
What is the third smallest value in -3, 0.6, 349212, 5?
5
What is the third biggest value in 69, -29/3, -48, 2/45?
-29/3
Which is the second biggest value? (a) 8/3 (b) 3/2 (c) 0.2 (d) 35152 (e) 2/17
a
Which is the fourth biggest value? (a) -5/3 (b) -4 (c) -2/5 (d) -1/7 (e) 0.5 (f) -14/131
c
What is the second smallest value in -2, -0.2, -2/119, -3419, 1/6, -2/15?
-2
Which is the second biggest value? (a) 3/7 (b) -0.18 (c) -3 (d) -4701
b
Which is the smallest value? (a) 5/6 (b) -1 (c) -11227 (d) 1
c
Which is the biggest value? (a) 0 (b) 5 (c) -845 (d) -229 (e) -0.4
b
What is the biggest value in -2/17, -144, -4767, 0.9?
0.9
What is the second biggest value in -4, 126092, 0.07?
0.07
Which is the sixth smallest value? (a) 57 (b) 0 (c) -9 (d) -3/8 (e) 0.3 (f) 9 (g) -2/43
f
What is the second smallest value in 0.2, -5/36, -2/3, 2/3, 1/19, -4.3?
-2/3
What is the second smallest value in -5, -2.14, -5/7413?
-2.14
Which is the second biggest value? (a) 0.1 (b) 0.454 (c) 5 (d) 2/7475
b
What is the third biggest value in -1, 13337, -4149?
-4149
Which is the second biggest value? (a) 1 (b) -1492.68021 (c) -4 (d) 1/4
d
Which is the second smallest value? (a) -4 (b) -1/2 (c) 436 (d) -3/2 (e) -6 (f) 33
a
What is the second biggest value in 100/261, 2, 11/3?
2
Which is the seventh smallest value? (a) -3 (b) 4/9 (c) 519 (d) 1/2 (e) -4 (f) -1 (g) 1/5
c
What is the fifth smallest value in -1/2, 1, 0.4, -15, 93, -1?
1
Which is the smallest value? (a) -10 (b) -1 (c) 9 (d) -4/11 (e) 55 (f) 2/7 (g) -2/13
a
Which is the second smallest value? (a) 3 (b) -0.227767 (c) 2 (d) -4
b
Which is the biggest value? (a) -4362 (b) 4 (c) 2 (d) -2
b
Which is the second smallest value? (a) 27/7 (b) -5/4 (c) -121/6 (d) 2 (e) -11/5
e
What is the third biggest value in -4/3, -6, -1968, -2/17, 29?
-4/3
What is the smallest value in 47872, 41, -1, -3?
-3
What is the seventh smallest value in 0, -4, 1, 8, -25, 46, 12?
46
Which is the second biggest value? (a) -1.4993172 (b) 1 (c) 0.2
c
What is the smallest value in 1/6, 2/21, -6/91, 3/2, -3964, -2/5?
-3964
What is the fourth biggest value in 139114, -0.4, 6, -0.2?
-0.4
What is the sixth biggest value in -2/7, -3/5, 1, -0.04, -11, -57, 2/3?
-11
Which is the second smallest value? (a) 232339/2 (b) -8/5 (c) 0.3
c
Which is the second smallest value? (a) -2/3 (b) 2/20539 (c) 0.1 (d) -1/4 (e) 0.02
d
What is the fourth biggest value in -0.12, 4, -155/6, -0.07, -35?
-155/6
Which is the fourth smallest value? (a) -131 (b) 3/4 (c) -3 (d) -1 (e) -8.3 (f) 4
d
Which is the fourth biggest value? (a) 3/7 (b) -16 (c) -6 (d) 3/20 (e) 1/9
c
What is the second biggest value in 6, 13, -1/8, -0.2, -1/6, -3, -5?
6
Which is the smallest value? (a) 1/8 (b) 0.12 (c) -235351/52
c
What is the third biggest value in 4, 2, 5002, 5, 0.5, -42?
4
What is the sixth smallest value in 164, -8, 4/9, -0.3, 0, 0.25?
164
Which is the smallest value? (a) 2/5685 (b) -2 (c) -8 (d) -5/22 (e) 1 (f) -3
c
Which is the smallest value? (a) -2801 (b) 4 (c) -74 (d) -254
a
What is the second smallest value in 4934, 2/15, 12, 89?
12
What is the sixth biggest value in 2, -1/2, -2/5, -323, -22, 3.2, -0.1?
-22
Which is the third smallest value? (a) -1/4 (b) 1039870 (c) 1/3 (d) 1/4
c
Which is the fifth smallest value? (a) -5 (b) 0.07 (c) -659 (d) -86 (e) -0.2 (f) 0.4 (g) -1/7
g
Which is the biggest value? (a) -0.010927 (b) 0.188 (c) 3.3
c
What is the second smallest value in -0.3, 9, 8, 7/187, -1/3?
-0.3
What is the smallest value in -3 | {
"pile_set_name": "DM Mathematics"
} |
atest common divisor of 496 and 46914528.
16
What is the highest common factor of 5700057 and 1881?
627
Calculate the greatest common divisor of 12873 and 692307.
21
What is the highest common factor of 23 and 3178271882?
23
Calculate the greatest common factor of 95091972 and 14565.
2913
Calculate the highest common factor of 944301 and 4452.
159
What is the greatest common divisor of 21 and 336669963?
21
Calculate the highest common divisor of 82698 and 361222.
358
What is the greatest common divisor of 465 and 75090?
15
What is the greatest common factor of 98888909 and 61299?
6811
Calculate the greatest common factor of 17271 and 1526346.
171
What is the highest common divisor of 440 and 9448760?
40
Calculate the highest common divisor of 48 and 311367.
3
Calculate the highest common divisor of 25122 and 2615453.
79
Calculate the highest common divisor of 42432 and 14365.
221
Calculate the highest common divisor of 3314 and 115116761.
1657
Calculate the highest common divisor of 1484998832 and 32.
16
What is the highest common divisor of 140168 and 17304?
56
What is the greatest common factor of 190766850 and 12300?
6150
Calculate the greatest common factor of 31251 and 84381.
33
Calculate the highest common factor of 260373 and 455937.
1137
What is the greatest common divisor of 135 and 814215?
15
What is the greatest common divisor of 4361 and 1815422?
623
What is the greatest common divisor of 1264 and 96843888?
1264
Calculate the greatest common factor of 2157792 and 5577.
507
What is the greatest common divisor of 976500 and 646100?
700
Calculate the highest common factor of 618123 and 858.
33
Calculate the highest common divisor of 1534876 and 787493.
1337
Calculate the highest common divisor of 2444152 and 207373.
1583
Calculate the greatest common divisor of 6111 and 3614317.
679
Calculate the highest common factor of 60979 and 18496.
289
Calculate the greatest common factor of 2666618 and 16880.
422
Calculate the greatest common divisor of 40 and 1416710.
10
What is the greatest common factor of 479353407 and 546?
39
What is the highest common divisor of 1705 and 4362655?
55
What is the highest common divisor of 596 and 199165916?
596
Calculate the greatest common divisor of 539 and 584265.
11
Calculate the greatest common factor of 1133 and 1478745147.
1133
Calculate the greatest common divisor of 170935 and 47940.
85
Calculate the highest common factor of 1597462215 and 15.
15
What is the greatest common factor of 216 and 9649584?
216
Calculate the greatest common factor of 51736 and 108808.
232
What is the greatest common divisor of 2127724 and 12968024?
10084
Calculate the greatest common factor of 4173970 and 970.
10
Calculate the greatest common factor of 1544972 and 26455.
5291
What is the greatest common divisor of 9631510 and 280?
70
Calculate the highest common factor of 832 and 5940194.
26
What is the greatest common divisor of 24399486 and 28459?
191
What is the highest common divisor of 109711871 and 381?
127
Calculate the greatest common factor of 8570 and 2079424800.
8570
Calculate the highest common factor of 6722 and 822446783.
3361
Calculate the greatest common divisor of 1681409875 and 125.
125
Calculate the greatest common divisor of 797 and 36256327.
797
Calculate the highest common divisor of 44145 and 22682355.
1635
Calculate the greatest common divisor of 65164603 and 118111.
2513
What is the highest common factor of 9641157 and 282?
141
What is the greatest common divisor of 10643 and 12989854?
29
What is the greatest common factor of 27095526 and 27?
27
What is the greatest common factor of 3704332 and 25972?
604
What is the highest common divisor of 2406244 and 4?
4
Calculate the greatest common divisor of 226766655 and 90.
45
Calculate the highest common divisor of 66 and 81297172.
22
Calculate the greatest common factor of 2014 and 4175402.
38
Calculate the highest common divisor of 1080 and 106169400.
1080
Calculate the highest common divisor of 3986394 and 3186.
354
Calculate the highest common divisor of 2320 and 5112960.
80
What is the greatest common factor of 64397 and 7739?
71
Calculate the greatest common factor of 167009890 and 556.
278
Calculate the highest common factor of 69216 and 17879358.
4326
Calculate the highest common divisor of 18981 and 59607.
333
Calculate the greatest common divisor of 75748 and 16975388.
2612
Calculate the highest common factor of 1250345 and 4520.
565
Calculate the greatest common divisor of 3594886 and 111886.
86
What is the highest common divisor of 2898887 and 7319?
563
Calculate the greatest common factor of 277083 and 208265.
1811
Calculate the highest common factor of 3881742 and 2286.
6
What is the highest common divisor of 7972 and 32434?
2
What is the highest common factor of 373833803 and 179?
179
Calculate the highest common divisor of 4 and 21164768.
4
What is the highest common divisor of 28 and 601463016?
28
What is the greatest common factor of 288 and 10188544?
32
What is the highest common factor of 417 and 6127676?
139
Calculate the greatest common factor of 169 and 6517433.
13
Calculate the highest common divisor of 40355 and 434.
7
Calculate the highest common factor of 811668 and 9204.
156
What is the greatest common factor of 1077 and 96914922?
1077
Calculate the highest common factor of 13354 and 103730.
22
Calculate the greatest common divisor of 154 and 170946688.
22
What is the greatest common factor of 4310 and 33391725?
2155
What is the highest common divisor of 171 and 53475215?
19
Calculate the highest common factor of 38775 and 391886.
517
Calculate the greatest common divisor of 30 and 2407890.
30
Calculate the highest common divisor of 7530 and 3795.
15
Calculate the highest common divisor of 75 and 43924850.
25
Calculate the highest common factor of 1049773014 and 6399.
2133
What is the highest common divisor of 153368107 and 62314?
4451
What is the greatest common divisor of 6806 and 873382?
82
Calculate the greatest common divisor of 30 and 10473954.
6
Calculate the highest common factor of 141452795 and 2596.
649
Calculate the greatest common divisor of 1126 and 53357762.
1126
What is the highest common divisor of 3482435 and 1265?
55
Calculate the highest common divisor of 733731696 and 972.
972
What is the highest common divisor of 3803 and 36818?
1
Calculate the greatest common factor of 474 and 98862654.
474
Calculate the greatest common divisor of 985907 and 59911.
181
Calculate the greatest common factor of 21 and 571917906.
21
What is the greatest common factor of 23467040 and 416?
32
What is the highest common factor of 1110658276 and 84?
28
Calculate the highest common factor of 51992929 and 597.
199
Calculate the greatest common factor of 1735 and 107610.
5
What is the highest common factor of 40 and 35621000?
40
What is the greatest common divisor of 62069 and 5691?
7
Calculate the highest common factor of 21608 and 5214390.
146
What is the highest common divisor of 3177198 and 4284?
306
Calculate the greatest common divisor of 88383127 and 3794.
1897
Calculate the highest common factor of 72765 and 891275.
385
Calculate the highest common divisor of 466 and 5722014.
466
Calculate the highest common divisor of 795 and 24185755.
265
Calculate the highest common divisor of 15675429 and 3993.
363
Calculate the greatest common factor of 743616 and 27072.
576
What is the highest common factor of 3624 and 180006?
6
Calculate the greatest common divisor of 220149 and 1117587.
1203
Calculate the greatest common factor of 30 and 19254525.
15
Calculate the greatest common divisor of 259875 and 301125.
4125
Calculate the highest common divisor of 2800752 and 2128.
304
What is the greatest common factor of 728536 and 15599?
19
What is the greatest common factor of 68733960 and 19095?
1005
What is the highest common divisor of 627200 and 52675?
1225
What is the greatest common divisor of 8864038 and 347786?
1802
What is the highest common divisor of 186979 and 5130189?
757
What is the greatest common divisor of 170775528 and 24?
24
Calculate the greatest common factor of 49 and 2008503.
7
Calculate the highest common factor of 32151984 and 9681.
1383
What is the greatest common divisor of 41472 and 52768?
32
What is the h | {
"pile_set_name": "DM Mathematics"
} |
2955062825
What is the least common multiple of 1584 and 2314422?
18515376
Find the common denominator of 113/294 and 127/7126266.
7126266
What is the common denominator of -71/565399635 and 41/11?
6219395985
Calculate the least common multiple of 317346000 and 141875.
1586730000
Calculate the lowest common multiple of 8006 and 3554664.
3554664
Calculate the smallest common multiple of 24 and 11298939.
90391512
Calculate the common denominator of -93/44539378 and -67/4.
89078756
Calculate the smallest common multiple of 27 and 97882065.
293646195
Calculate the smallest common multiple of 7 and 8144009.
57008063
Find the common denominator of 143/3576 and -61/60648.
9036552
What is the common denominator of 22/87 and 119/154386?
4477194
Find the common denominator of -127/1348380 and -221/14157990.
28315980
What is the least common multiple of 2283935 and 125?
57098375
What is the lowest common multiple of 643808 and 6572?
34121824
Calculate the common denominator of -11/9737522 and 34/3.
29212566
Calculate the common denominator of 7/8796750 and -33/875.
61577250
Calculate the common denominator of -109/78725702 and 67/389918.
2440496762
Calculate the smallest common multiple of 498 and 299046.
24820818
What is the least common multiple of 99086712 and 33?
1089953832
Calculate the lowest common multiple of 193503 and 1.
193503
Find the common denominator of 19/1811898 and 11/10212516.
112337676
Find the common denominator of 28/36318005 and 17/50.
363180050
Calculate the smallest common multiple of 22377936 and 168.
22377936
What is the lowest common multiple of 3890 and 25210?
9806690
Find the common denominator of 77/324 and 65/926076.
25004052
What is the common denominator of 65/44891487 and -13/49879430?
448914870
Find the common denominator of -89/5445 and -89/243900.
29511900
What is the least common multiple of 296688 and 579248?
12164208
Calculate the smallest common multiple of 117999 and 2307.
90741231
Find the common denominator of -16/853125 and 19/31850000.
95550000
Find the common denominator of -11/49100930 and 107/510.
147302790
What is the lowest common multiple of 353646 and 132?
7780212
What is the smallest common multiple of 8 and 22497846?
89991384
Calculate the common denominator of 109/12138852 and -8/35.
424859820
Calculate the common denominator of -79/36 and 161/444642.
2667852
Find the common denominator of 1/10344 and -55/26304.
11337024
What is the least common multiple of 253 and 817351?
8990861
Calculate the least common multiple of 56 and 4896591.
39172728
Find the common denominator of -7/4092 and -53/25792.
851136
Calculate the least common multiple of 565386036 and 739792.
2261544144
Calculate the lowest common multiple of 19239150 and 7695660.
38478300
What is the common denominator of -121/9857960 and -31/704140?
9857960
What is the smallest common multiple of 191205 and 1706277?
179159085
What is the common denominator of -71/49020 and -59/955776?
205491840
What is the common denominator of -173/16280580 and -13/32561160?
32561160
Calculate the common denominator of 143/252360 and 149/67296.
1009440
Calculate the common denominator of 25/12 and 23/35474834.
212849004
What is the common denominator of 3/434290 and 97/107780?
14765860
Calculate the common denominator of -5/108 and 25/137244.
1235196
Find the common denominator of -109/318 and 42/158837767.
953026602
What is the lowest common multiple of 156791 and 111182?
757927694
Calculate the common denominator of 107/4595696 and -95/392.
32169872
What is the common denominator of 5/145575152 and -21?
145575152
Calculate the lowest common multiple of 966 and 2610.
420210
What is the common denominator of -53/7499396 and -99/49120?
299975840
Calculate the lowest common multiple of 4816 and 16618.
5716592
Calculate the common denominator of 103/5249750 and 47/125.
5249750
Calculate the common denominator of 32/55 and -53/1053316.
5266580
What is the lowest common multiple of 371176 and 5928?
21157032
Calculate the common denominator of -103/373596 and -75/46.
8592708
What is the least common multiple of 145115 and 5630462?
28152310
What is the common denominator of -26/7 and -31/197867102?
1385069714
What is the lowest common multiple of 5852754 and 43895655?
87791310
Find the common denominator of -1/128740 and -81/3140.
128740
What is the smallest common multiple of 8547825 and 7425?
76930425
Find the common denominator of -103/8340 and 21/360427.
21625620
What is the least common multiple of 3420 and 2583468?
12917340
What is the least common multiple of 2448248 and 18116?
17137736
Calculate the common denominator of -97/1680246 and -58/280041.
1680246
What is the lowest common multiple of 294 and 30073701?
60147402
Calculate the smallest common multiple of 86172 and 412.
8875716
Calculate the common denominator of -53/470613 and -101/8.
3764904
Calculate the common denominator of 97/17163450 and -95/8238456.
205961400
Find the common denominator of 167/4676610 and 63/80.
37412880
Calculate the least common multiple of 430255 and 315.
3872295
What is the smallest common multiple of 622986 and 9828?
11213748
Calculate the least common multiple of 77052 and 129822.
1667174124
What is the common denominator of -26/128083 and 65/2792?
1024664
What is the least common multiple of 71870448 and 24?
71870448
What is the least common multiple of 174690 and 3582?
34763310
Calculate the smallest common multiple of 39942408 and 3192.
279596856
Calculate the least common multiple of 3568722 and 15486.
103492938
Calculate the smallest common multiple of 36062016 and 12959787.
829426368
What is the common denominator of 77/25464 and 5/205504?
654119232
What is the lowest common multiple of 836784 and 42042?
451026576
What is the least common multiple of 772015 and 28787?
8492165
Find the common denominator of -1/754298 and 79/26023281.
52046562
What is the least common multiple of 6059608 and 22?
66655688
Find the common denominator of 113/11522430 and 65/4608972.
23044860
What is the smallest common multiple of 2432 and 168265824?
673063296
What is the least common multiple of 287433 and 98448?
32192496
Calculate the common denominator of -1/421095 and 79/5025.
2105475
Calculate the smallest common multiple of 8261289 and 24.
66090312
What is the common denominator of -103/341496 and -103/8160?
6829920
What is the common denominator of -7/2787220 and -41/1393610?
2787220
Calculate the smallest common multiple of 163212 and 30552.
6202056
Calculate the common denominator of 137/288 and 109/38679480.
154717920
Find the common denominator of -8/135 and 11/6658068.
299613060
What is the smallest common multiple of 2681076 and 27481029?
109924116
Calculate the smallest common multiple of 76 and 752898.
28610124
Find the common denominator of 59/2376 and -7/2178.
26136
What is the common denominator of 115/731856 and -119/2040096?
393738528
Calculate the lowest common multiple of 4748 and 5117157.
20468628
What is the smallest common multiple of 4212644 and 8?
8425288
Calculate the least common multiple of 210248 and 1445455.
11563640
Calculate the lowest common multiple of 3605 and 58490.
42171290
Calculate the common denominator of -53/2282 and 32/16274083.
32548166
Calculate the common denominator of -157/15810 and 107/143778.
12221130
Calculate the common denominator of -79/738 and -121/393072.
48347856
What is the least common multiple of 94022000 and 127728?
846198000
Calculate the least common multiple of 7 and 23760443.
23760443
Find the common denominator of 43/969 and 95/629952.
11969088
Find the common denominator of -83/1070 and -64/44154513.
441545130
Calculate the lowest common multiple of 80172 and 19912.
3046536
Find the common denominator of -69/115798 and -85/14.
810586
Calculate the smallest common multiple of 2915330 and 1371920.
23322640
Calculate the least common multiple of 1512 and 155232.
465696
Find the common denominator of 167/4200 and 89/34440.
172200
What is the common denominator of -97/6581608 and -31/170214?
19744824
Calculate the lowest common multiple of 274295 and 7225.
23315075
Find the common denominator of -54/145 and -77/61730.
1790170
What is the common denominator of 63/1256744 and -91/36?
11310696
What is the common denominat | {
"pile_set_name": "DM Mathematics"
} |
se i = 2*t - 14, 0 = 4*i - 12 + 28. Let q(n) = 165*n**2 - 2*n + t*n - 157*n**2. Let a(c) = c**2. What is q(a(f))?
8*f**4 + 3*f**2
Let k(f) be the second derivative of -f**4/12 - 3503*f**2/2 - 7286*f. Let j(g) = 2*g. Calculate j(k(a)).
-2*a**2 - 7006
Let m(w) = 2*w**2. Let x be (1*2)/(18/279). Suppose n + x = 2*y, y - n - 73 = -4*y. Let o(k) = -14*k + y*k - 6*k. Give o(m(p)).
-12*p**2
Let q(g) = 11*g + 261. Let o(p) = 5*p + 116. Let a(h) = -9*o(h) + 4*q(h). Let r(x) = x**2 + 32. Calculate a(r(k)).
-k**2 - 32
Let j(o) be the third derivative of 7*o**4/24 - o**2 + 5*o. Let t(b) = -26*b + 20*b - 11*b. Calculate j(t(y)).
-119*y
Let b(s) = 3*s. Let u(n) be the second derivative of -3*n**3 + 25*n + 6*n**3 - 74*n - 17*n. Determine b(u(i)).
54*i
Let v(s) = -8*s. Let d(k) be the first derivative of k**6/36 - 18*k**3 - 99. Let w(p) be the third derivative of d(p). Calculate v(w(o)).
-80*o**2
Let r(f) = 87589*f. Let l(t) = 2*t - 301. Give l(r(c)).
175178*c - 301
Let x(w) be the third derivative of -56*w**4 + 3*w**2 - 27*w + 1. Let f(j) = 4*j. Determine f(x(i)).
-5376*i
Let g(q) = -242 - 14*q**2 + 242 + 25*q**2 - 20*q**2. Let a(n) = -8*n - 9. What is a(g(y))?
72*y**2 - 9
Let l(p) = -p**2. Suppose -5*g + 5*t - 55 = 0, -3*t + 20 = -g + t. Let r be 1/(-4) - 274/g. Let w(d) = -2740 + 2740 + r*d. Give w(l(m)).
-34*m**2
Let o(d) = -d**2 + 902. Let h(n) = -68*n - 7. Calculate h(o(b)).
68*b**2 - 61343
Let l(x) = -2*x. Let g be ((-24)/9)/((16/(-6))/4). Let y be (-46)/(-6) + 2/6. Let i(n) = y*n - 2*n + g - 3. Calculate l(i(z)).
-12*z - 2
Let h(k) be the first derivative of 11*k**2/2 + k - 69. Let y(n) = 4*n + 4. Let d(w) = 21*w + 22. Let l(u) = -2*d(u) + 11*y(u). What is l(h(a))?
22*a + 2
Let h(u) = 2*u + 12. Let x(w) = w**2 - 15*w + 20. Let a be x(13). Let d(b) = 3*b + 10. Let t(v) = a*h(v) + 7*d(v). Let o(j) = -4*j**2. Calculate o(t(i)).
-324*i**2 + 144*i - 16
Let z(g) = 143*g**2 - 13 + 13. Let m(c) be the second derivative of c**4/6 + c - 2304. Give z(m(t)).
572*t**4
Let c(q) = 4*q**2 - 25461*q + 10. Let k(u) = 5*u. Calculate c(k(b)).
100*b**2 - 127305*b + 10
Let d(p) = -7678*p. Let i(o) = -1025*o**2 - 4*o. Determine d(i(u)).
7869950*u**2 + 30712*u
Let b(x) be the second derivative of -103*x**3/6 + 5*x**2/2 + 269*x. Let k(z) = 2419*z - 118. Let o(r) = -118*b(r) - 5*k(r). Let g(p) = 3*p**2. What is g(o(n))?
10443*n**2
Let p(m) = 3*m - 235327 + 235327. Let d(k) = k + 11. Let i(w) = w + 6. Let t(z) = -6*d(z) + 11*i(z). What is t(p(j))?
15*j
Let j = 1261 - 2517/2. Let q(z) be the second derivative of 0*z**3 + 0*z**2 + 0 - j*z**4 - 33*z. Let r(h) = h**2. Give r(q(k)).
900*k**4
Let i(r) = r. Let b(h) = 0 - 5 + 10 + 185*h - 1. Give i(b(f)).
185*f + 4
Let i(b) = -b + 25. Let c(x) = -423782*x. What is i(c(s))?
423782*s + 25
Let t(v) = -9*v. Let s(q) be the first derivative of 0*q - 11/3*q**3 + 170 + 0*q**2. What is t(s(n))?
99*n**2
Let m(t) be the first derivative of -426*t**2 - 289. Let u(z) = z. Calculate m(u(k)).
-852*k
Let k(z) = -822910*z. Let q(h) = 64*h**2. Determine k(q(g)).
-52666240*g**2
Let w(l) = -l**2. Let j(z) = z**2 - 13*z - 24. Let i be j(20). Let u(k) = -19 - 11 - i*k + 30. Give w(u(y)).
-13456*y**2
Let w(y) = -12 - 5969*y**2 - 2*y + 5869*y**2 - 6. Let d(s) = -s**2. What is w(d(g))?
-100*g**4 + 2*g**2 - 18
Let p(h) = -73*h + 13. Let u(t) = 72*t - 11. Let a = 190 - 184. Let y(r) = a*u(r) + 5*p(r). Let z(w) = -2*w. Determine z(y(d)).
-134*d + 2
Let t(a) = a**2 + 33*a - 28*a + 27*a - 32*a. Let f(s) = 693*s. What is t(f(g))?
480249*g**2
Let v(r) = -17*r**2 - 3*r. Let t be v(-2). Let h = t - -64. Let y(p) = -13*p**h + 4*p**2 + 6*p**2. Let f(w) = -11*w. Determine y(f(u)).
-363*u**2
Let j(h) be the third derivative of -h**4/2 + h**3/3 - 8*h**2 + 13*h. Let x(b) be the third derivative of -b**4/8 + 69*b**2. What is j(x(p))?
36*p + 2
Let h(i) = -17*i. Let f(l) be the third derivative of 13*l**8/20160 + l**5/10 - l**3/6 - 38*l**2 + 2. Let a(z) be the third derivative of f(z). What is a(h(t))?
3757*t**2
Let q(v) = -2*v**2 + 43. Let i(l) = 8 - 44 - 454104*l + 908207*l - 454104*l. Give i(q(c)).
2*c**2 - 79
Let j(u) = 9*u + 5232. Let n(s) = 243*s. Give j(n(b)).
2187*b + 5232
Let u(s) = 4*s - 6. Let l(y) = 3. Let b(c) = -2*l(c) - u(c). Let f(h) be the first derivative of 5*h**3 - 22. Calculate f(b(r)).
240*r**2
Let k(f) = -3*f. Let i(c) = -10*c + 80. Let d be i(8). Let t(o) = -129*o**2 - 3*o + 136*o**2 + d*o + 4*o. Calculate k(t(r)).
-21*r**2 - 3*r
Let o(d) = -2*d. Let k(t) = -694*t - 2. Let b(u) = 1045*u + 3. Let s(r) = -7*b(r) - 11*k(r). Determine o(s(m)).
-638*m - 2
Let n(g) = -2*g**2. Let m(p) = -366755*p + 10. What is m(n(t))?
733510*t**2 + 10
Let w(k) be the second derivative of -k**3/3 + 23*k - 2. Let t(f) = -1458*f**2. Determine w(t(l)).
2916*l**2
Suppose 0 = 26*f - 38*f + 2592. Let m(z) = 212 - 428 + f + 59*z**2. Let d(i) = i. Determine m(d(k)).
59*k**2
Let z(i) = 13*i**2. Let p(l) = 704*l + 2072. Let u(w) = 201*w + 691. Let m(j) = 2*p(j) - 7*u(j). Calculate m(z(f)).
13*f**2 - 693
Let k(u) = 1589*u - 764*u - 707*u. Let n(t) = 5*t**2 - 3*t + 3. Let z(f) = -8*f**2 + 5*f - 5. Let g(p) = 5*n(p) + 3*z(p). What is g(k(q))?
13924*q**2
Let a(x) = -10641*x. Let r(o) = -89*o. Calculate a(r(h)).
947049*h
Let x(b) = b**2. Let p(w) = -607*w**2 + 150*w**2 - 12*w - 2 + 13*w + 2. What is p(x(v))?
-457*v**4 + v**2
Let p(n) = 1243*n**2. Let u(x) = 74*x. Let d(v) = -186*v. Let g(y) = 2*d(y) + 5*u(y). Calculate g(p(q)).
-2486*q**2
Let f(h) = 22*h**2. Let i(d) = -55*d + 7 - 6 + 29*d**2 + 111*d - 56*d. What is i(f(k))?
14036*k**4 + 1
Let p(d) = -10*d - 30. Let i be p(-6). Let o(s) = -i*s + 3305 - 3305. Let k(y) = -4*y**2. Calculate o(k(u)).
120*u**2
Let z(y) = -2*y**2. Let h(n) = -291554*n - 14. What is h(z(m))?
583108*m**2 - 14
Let i(j) = -12757*j. Let f(p) = 335*p. Determine f(i(g)).
-4273595*g
Let w(f) = 131*f + 4. Let s(g) = 20565*g + 630. Let a(t) = 2*s(t) - 315*w(t). Let p(j) = 5*j**2. Calculate p(a(i)).
91125*i**2
Let c(o) = -21*o**2 - 9*o - 18. Let t(m) = -5*m**2 - 2*m - 4. Let f be (-8)/(-12)*-9 + 27/(-9). Let j(s) = f*t(s) + 2*c(s). Let d(w) = 5*w - 2. Give d(j(x)).
15*x**2 - 2
Let y(f) = -342*f**2 - 126. Let s(q) = -11*q**2 - 4. Let u(j) = 126*s(j) - 4*y(j). Let w(r) = -15*r + 506068 - 506068. Calculate w(u(d)).
270*d**2
Let i(o) = -3*o**2. Let w(d) = -1140*d - 876. Calculate w(i(t)).
3420*t**2 - 876
Let c(r) = -23816*r - 89. Let x(b) = -b. Give c(x(n)).
23816*n - 89
Let j(s) = 30*s. Let m(l) be the first derivative of 0*l**2 + 0*l - 2/3*l**3 + 99. Give m(j(i)).
-1800*i**2
Let m(a) = 11*a**2. Let v(u) be the first derivative of 0*u**3 - 1/24*u**4 + 11/2*u**2 + 0*u - 7. Let d(o) be the second derivative of v(o). Calculate d(m(r)).
-11*r**2
Let f(w) = 69*w**2 + 72*w**2 - 291*w**2 + 67*w**2 + 70*w**2. Let i(t) = -t**2 + 15*t. Determine i(f(n)).
-169*n**4 - 195*n**2
Let o(m) = -55915700*m. Let n(w) = -4*w. Determine o(n(i)).
223662800*i
Suppose -5*d = 2*l - 25, -4*d + 19 - 7 = 0. Let a(z) = -3*z + 6 + 2*z - l. Let k(p) = 3*p. Determine a(k(v)).
-3*v + 1
Let a(i) = -13*i**2. Let g(n) = 35 - 4420*n**2 - 37 + 4407*n**2. What is g(a(y))?
-2197*y**4 - 2
Let o(k) = 6*k - 24. Let g(t) be the first derivative of t**2 - 9*t - 6. Let i(x) = -8*g(x) + 3*o(x). Let f(h) = h**2 + 58. Give f(i(s)).
4*s**2 + 58
Let c(n) = -1660*n. Let w(j) = -13449*j. Determine w(c(d)).
22325340*d
Suppose 0*g + 2*g - 18 = 0. Let j(v) = 8 - g + 13*v + 1. Let m(z) = -3*z. Let u(r) = -3*r. Let a(b) = -4*m(b) + 5*u(b). Determine j(a(d)).
-39*d
Let v(u) be the third derivative of 19*u**4/24 + 471*u**2. Let r(f) = -11*f. Let i(l) = -12*l. Let c(g) = -3*i(g) + 4*r(g). Calculate v(c(y)).
-152*y
Let p(i) = 15*i**2. Let j(n) = 338*n - 38. Let t(m) = -113*m + 12. Let f(x) = -6*j(x) - 19*t(x). Give f(p(r)).
1785*r**2
Let i(z) = -z - 5. Let u(g) = -31146*g**2. Give i(u(a)).
31146*a**2 - 5
Let v(u) = 393*u. Let w(o) = -3*o**2 + 340*o. Calculate v(w(g)).
-1179*g**2 + 133620*g
Let q(s) = -1 + 21*s**2 + 1. Let h(j) be the first derivative of -j**2/2 - 19796. Give q(h(u)).
21*u**2
Let z(a) = 8*a**2. Let p(y) = -578691*y. Determine p(z(g)).
-4629528*g**2
Let y(a) = 1 - 6*a - 5 + 4*a. Let q(b) be the first derivative of b**3/3 - 1850. What is q(y(g))?
4*g**2 + 16*g + 16
Let r(l) = l**2. Let m = -43 - -49. Let j be m + (-16) | {
"pile_set_name": "DM Mathematics"
} |
Round u to zero dps.
-5
Let n = 90.91 - -0.09. Let b = n - 90.9999878. What is b rounded to 6 decimal places?
0.000012
Let y = -34 - -41. Let t(s) = -8*s - 14*s**2 + 6 + 1051*s**3 - 2 + 5*s**2 + 0. Let i be t(y). Round i to the nearest one hundred thousand.
400000
Let h = -14.65 + 6.4. What is h rounded to the nearest integer?
-8
Let g = -127505 - 152437. Let v = -134006 - g. Let y = v + -375936. Round y to the nearest one hundred thousand.
-200000
Let a be (139 + -1 - 1)*(-64)/(-2). Suppose -5*d + 4420 = -4*v, v - 4*d - a = 5*v. What is v rounded to the nearest one thousand?
-1000
Let g = -0.092 - 0.97. What is g rounded to two dps?
-1.06
Let x = -117.354 - -23.224. Let c = x + 98. Let j = c - 4. What is j rounded to 1 decimal place?
-0.1
Let m = -2.55 + 2.549998052. Round m to 7 dps.
-0.0000019
Let c(s) = 30*s**3 + 5*s**2 - 3*s + 2. Suppose 2*m - 5 = 7. Let p be c(m). Let u = -9534 + p. Round u to the nearest 100.
-2900
Let x = 1.37379469 - 56.75658569. Let a = x + -3.615329. Let k = -59 - a. Round k to 4 decimal places.
-0.0019
Let d = -26.091048 + 25.431. Let l = d - -0.66. What is l rounded to five dps?
-0.00005
Let r(z) = z**3 + 6*z**2 + z - 4. Let u be r(14). Round u to the nearest 100.
3900
Let a = -974 + 974.000000948. Round a to 7 decimal places.
0.0000009
Let t = -85 + 84.9999259. Round t to six decimal places.
-0.000074
Suppose 4*y = -2*y - 12. Let q be 20/3*(y + -68998). Round q to the nearest one hundred thousand.
-500000
Let v = 9967003 + -7039003. What is v rounded to the nearest 1000000?
3000000
Let z(u) = -3407*u**3 + u**2 + 8*u + 3. Let c be z(-2). Suppose -13*t = -1613 - c. Round t to the nearest one hundred.
2200
Let q = -1175.000000521 + 1175. What is q rounded to seven dps?
-0.0000005
Suppose -b - 4*w + 23 = 0, -23 + 7 = 3*b - 5*w. Suppose -k + 2*o = -2*o - 184, -3*k + b*o = -570. What is k rounded to the nearest ten?
190
Suppose 0 = 3*n + n - 84. Let z be 6/n - 54/(-7). Suppose -2*i - z = -0*i, 4*m = i + 5600004. Round m to the nearest one million.
1000000
Let q = -11161695 - -11161694.17759868. Let m = q + 9.82240112. Let d = 9 - m. Round d to 7 dps.
0.0000002
Suppose 9*j - 10*j = 3. Let b be (8/12)/(j/(-227250)). Let v be (b/(-16))/(1/(-32)). What is v rounded to the nearest 10000?
100000
Let g = 10 + -13. Let a be 227*g + -8 + 9. What is a rounded to the nearest one hundred?
-700
Let q = 23.447 - -0.053. Let t = -23.4889 + q. Round t to 3 dps.
0.011
Suppose -5*n - 4*c = 49130, -2*c + 0*c = -3*n - 29500. What is n rounded to the nearest one thousand?
-10000
Let d = 1.69 + -0.87. Let a = d + -0.8158. Round a to 4 decimal places.
0.0042
Let g be -7 + (-6 - 202908/4). What is g rounded to the nearest 1000?
-51000
Let y = -1.82999909 + 1.83. What is y rounded to 7 dps?
0.0000009
Let k be (-2)/3 + (-20)/6. Let z be 2 + (-1 - k) + 0. Suppose -z*b + 84 = -16. Round b to the nearest ten.
20
Let x(s) = s**2 - 3*s + 1. Let d be x(4). Suppose 4*c - d = 15. Suppose -4*t = a - 88020, -11436 = -c*a + 2*t + 428554. What is a rounded to the nearest 10000?
90000
Let f = -10 - 24. Let m = f + 33.999992. What is m rounded to 5 dps?
-0.00001
Let w = 17 - 21. Let g(h) = 887*h**2 - 2*h. Let m be g(w). Let r be m/(-2*(-4)/(-400)). Round r to the nearest 100000.
-700000
Let r = 62 - 61.6. Let d = 15418.400064 + -15418. Let y = d - r. Round y to 5 decimal places.
0.00006
Let g(v) = 9*v + 3. Let f be g(1). Suppose 3*o = 2*o. Suppose o*p + f = -3*p. What is p rounded to zero dps?
-4
Let a = 816 + -564. Let v = a - 251.495. Let i = -0.708 + v. What is i rounded to two decimal places?
-0.2
Let h = 1367 + -1367.0000999. What is h rounded to five dps?
-0.0001
Let p = -1.3 - -0.524. What is p rounded to 2 dps?
-0.78
Let i = -0.66 - -80.56. Round i to the nearest ten.
80
Let j = 27.271436 - 8.271449. Let q = -13 + 32. Let o = j - q. What is o rounded to 5 decimal places?
-0.00001
Let j = -47 - -72. Let c = j + -24.9999875. What is c rounded to 6 dps?
0.000013
Let t = -102.2882 - 1.2818. Let j = -194.06 - t. Let f = j + 86.9. What is f rounded to 1 decimal place?
-3.6
Let u(f) = 17*f**2 + 17*f - 17. Let h(y) = 4*y**2 + 4*y - 4. Let c(w) = -26*h(w) + 6*u(w). Let k be c(0). Round k to the nearest integer.
2
Let h = 0.052 - 0.101. Let n = h + 0.04899994. Round n to 7 dps.
-0.0000001
Let g = 1 - -5. Suppose 31 - g = 5*q. Suppose 0 = -q*m - 1817 - 2833. What is m rounded to the nearest one hundred?
-900
Suppose 3*k = -0*k - 6363. Let j = 1579 - k. What is j rounded to the nearest 1000?
4000
Let a = -634.6274 + 635. Round a to 2 dps.
0.37
Suppose 0 = 4*m + 4, 4*y - 5*m = -0*y + 75265. Suppose 5*t - 18812 = -4*v, -5*v = 6*t - t - y. What is t rounded to the nearest 100?
3800
Let q = -6.02040561 - -6.02682. Let s = -0.44642499 + q. Let f = -0.44 - s. Round f to six dps.
0.000011
Let x = -40 + 21. Let i = x + -66. Let o = -84.99951 - i. What is o rounded to 4 dps?
0.0005
Suppose 0*y - 5*y = -5*l + 61515, y + 4*l + 12288 = 0. What is y rounded to the nearest one thousand?
-12000
Let y = -0.20999672 - -0.21. What is y rounded to 7 dps?
0.0000033
Let t be ((-3)/((-15)/140))/((-2)/(-173)). What is t rounded to the nearest 100?
2400
Let n = 3.4 - 7.8. Let u = 13.6 - n. Let k = u + -18.77. What is k rounded to 1 decimal place?
-0.8
Let j = -2 - -2. Suppose -3*y - 548009 = 4*c, -3*c - 411012 = -j*y + 4*y. What is c rounded to the nearest 10000?
-140000
Let p = -0.04181 - -0.0441. What is p rounded to 4 decimal places?
0.0023
Let y = 7.8 + 2.2. Let g = 10.028 - y. What is g rounded to 2 dps?
0.03
Let d = 117395813.07590275 + -117395921. Let x = d + 0.92401825. Let u = -107 - x. What is u rounded to 5 dps?
0.00008
Let b = 100116 + -100080.99472. Let m = -35 + b. Round m to 4 dps.
0.0053
Let u = -11805.01 + 11925.0234. Let m = 120 - u. What is m rounded to 3 dps?
-0.013
Let j = -64 - -18.2. Let u = j - -35.48. Round u to the nearest integer.
-10
Let z = -15887936 - -15887936.13000034. Let y = z + -0.13. What is y rounded to seven decimal places?
0.0000003
Let a = 24 - 24. Let h be a/(5 + (-4)/2). Suppose h*s - 50 = -5*s. Round s to the nearest ten.
10
Let k = 43 + -29. Let q = 29 - k. Let d = q + -14.99996. Round d to 5 dps.
0.00004
Let l = -140 + 139.9999212. What is l rounded to six dps?
-0.000079
Let h = 0.38 - 1.5. What is h rounded to one dp?
-1.1
Suppose -30 = -2*h - 12. Suppose 2580 = -h*m + 11*m. What is m rounded to the nearest one hundred?
1300
Let t = 78.51389 - 78.41. What is t rounded to two decimal places?
0.1
Let p = -51 - -26. Let o = -15 + p. Let k = o + 40.07. What is k rounded to 2 decimal places?
0.07
Let d(w) = w**3 + 31*w**2 - 31*w + 35. Let p be d(-32). Suppose 0*u + 4 = 2*u. Suppose -x + 2*x + 4379998 = -p*s, -4 = -u*x. Round s to the nearest 100000.
-1500000
Let w = -546 + 505.9. Let p = -40.10000161 - w. Round p to 7 dps.
-0.0000016
Let j = 506.0000879 - 506. Round j to 5 dps.
0.00009
Suppose -36900 = 37*a - 43*a. Round a to the nearest one hundred.
6200
Let s = -462 - -462.01238. Round s to 4 dps.
0.0124
Let r = 31.85 - 32. Let f = -2640 + 2640.15272. Let k = f + r. Round k to 4 decimal places.
0.0027
Let o = 3.49 - 3.49792. What is o rounded to 4 decimal places?
-0.0079
Let f be (-6 + -2)/(8/393600*-6). Round f to the nearest one thousand.
66000
Let v(d) = 1088652*d + 220. Let z be v(15). What is z rounded to the nearest 1000000?
16000000
Let y = -95.7 - 310.3. Let n = y - -406.000697. Round n to 4 dps.
0.0007
Let r be ((-1006600)/42)/((-1)/30)*-10. What is r rounded to the nearest one hundred thousand?
-7200000
Let b = 3.4366953466 - 152.8108765566. Let x = -8.62582649 + b. Let n = x + 158. What is n rounded to 6 dps?
-0.000008
Let x(s) = -182*s + 532*s - 2142*s - 10 - 3009*s. Let d be x(-10). Let r be 1/3*0 - d. What is r rounded to the nearest 10000?
-50000
Let k = 1088.6 + -1072. Round k to the nearest 100.
0
Suppose -3*m - 9 = -0, -2*x - 2255159 = 5*m. Let q = -748572 - x. Round q to the nearest 10000.
380000
Let k be (2 - 0) + 3/3. Suppose -5*o + 608 = -k*o. Suppose -5*y + o = 1794. What is y rounded to the nearest ten?
-300
Let j = 1257 - 1256.99999492. Round j to six decimal places.
0.000005
Let t = 147.78 + -145. What is t rounded to one dp?
2.8
Let l(q) = -11417*q + 21. Let c be l(3). Round c to the nearest one thousand.
-3400 | {
"pile_set_name": "DM Mathematics"
} |
84)/(sqrt(7)*3)).
45*sqrt(7)
Simplify (((-2*sqrt(2800) - sqrt(2800)) + sqrt(28))/sqrt(4))**2 - ((sqrt(252) + 1)**2 + sqrt(112)*2).
-20*sqrt(7) + 5634
Simplify (sqrt(1152) + -2 - (sqrt(18) - sqrt(18)*-1 - sqrt(18))*4)**2.
-48*sqrt(2) + 292
Simplify (sqrt(11) - (5 + sqrt(11) + -3 + sqrt(11))) + (sqrt(11) + (sqrt(11) - 5*sqrt(44)))**2.
-sqrt(11) + 702
Simplify ((-2 + sqrt(425))*-1 + sqrt(425))**2 - (sqrt(425) + sqrt(425) + -2 + sqrt(425) + 1).
-15*sqrt(17) + 5
Simplify -6*1*sqrt(80) + -1 + -2 + sqrt(80).
-20*sqrt(5) - 3
Simplify sqrt(931)*1 + -5 - sqrt(931).
-5
Simplify (4*((sqrt(2736) - sqrt(2736)*-2) + 0)*-4)**2.
6303744
Simplify -5*((sqrt(13) + 1 - sqrt(13)) + 3)**2 + 2.
-78
Simplify (-4 + ((sqrt(1584) - sqrt(1584)*-1) + sqrt(1584))*3)**2.
-864*sqrt(11) + 128320
Simplify (0 + sqrt(637))**2*-1 + -4 + -2.
-643
Simplify 1*((sqrt(66)*-2 + sqrt(66))*4)/(sqrt(540)/sqrt(10)).
-4*sqrt(11)/3
Simplify sqrt(25)/sqrt(720).
sqrt(5)/12
Simplify (sqrt(342)/(-1*sqrt(9)))/(1*sqrt(8)/sqrt(4)).
-sqrt(19)
Simplify sqrt(55)/((sqrt(132) - sqrt(132)*2)/sqrt(12) - sqrt(11)).
-sqrt(5)/2
Simplify (1*((sqrt(200) + sqrt(200) + (1 + sqrt(200))*4 + sqrt(200) - sqrt(200)) + -5))**2.
-120*sqrt(2) + 7201
Simplify ((2*sqrt(108))/sqrt(9))/(sqrt(18)/sqrt(3)*3).
2*sqrt(2)/3
Simplify ((sqrt(85)*2*-3)/(sqrt(60)/sqrt(3)))**2 + -2.
151
Simplify -3 + (2*(5 + sqrt(475)))**2 + 4.
200*sqrt(19) + 2001
Simplify (5 + ((-3*sqrt(65))/sqrt(5) - (0 + sqrt(637))))**2.
-100*sqrt(13) + 1325
Simplify (sqrt(847)*1 + (sqrt(28)/sqrt(4) + 0 - sqrt(7)))**2.
847
Simplify (-4*sqrt(308)/(1*sqrt(11)))**2.
448
Simplify 0 + sqrt(1377) + -4 - sqrt(1377).
-4
Simplify (((sqrt(91) - sqrt(91)*1) + sqrt(91))*1)/(-5*-1*sqrt(7)).
sqrt(13)/5
Simplify 1*(1 + sqrt(19) + 1).
2 + sqrt(19)
Simplify sqrt(70)/((2*sqrt(110))/sqrt(11)).
sqrt(7)/2
Simplify (-1*sqrt(7) + -2)**2 + (sqrt(7) + sqrt(21)/sqrt(3))*-6.
-8*sqrt(7) + 11
Simplify 2 + -5 + -1 + sqrt(11) + sqrt(11).
-4 + 2*sqrt(11)
Simplify (2*(sqrt(21) + sqrt(525)))/sqrt(7).
12*sqrt(3)
Simplify 1*((sqrt(13) - -5*(sqrt(13) + -1)**2) + (sqrt(130)*-1)/sqrt(10)).
-10*sqrt(13) + 70
Simplify -4*(sqrt(2268))**2*-6.
54432
Simplify ((sqrt(275) - sqrt(275)*2) + 5)**2 + -1.
-50*sqrt(11) + 299
Simplify ((sqrt(126) - 2*sqrt(126) - sqrt(126))/sqrt(7))/(sqrt(108)/sqrt(192)).
-8*sqrt(2)
Simplify -2 + sqrt(12)/(sqrt(16)/sqrt(4)*-3).
-2 - sqrt(3)/3
Simplify sqrt(170)/(-2*sqrt(90)/sqrt(9)) + -2.
-sqrt(17)/2 - 2
Simplify 1*(sqrt(420)/(sqrt(36)/sqrt(3)))/sqrt(7)*-4.
-4*sqrt(5)
Simplify (sqrt(114)/sqrt(3)*6)/(sqrt(2) + sqrt(4)/(-2*sqrt(2))).
12*sqrt(19)
Simplify (0 + sqrt(5)*-2 + sqrt(5) + 5)**2.
-10*sqrt(5) + 30
Simplify (4 + sqrt(98)*-1)**2.
-56*sqrt(2) + 114
Simplify -5 + sqrt(32) + 0 + sqrt(4)/sqrt(2).
-5 + 5*sqrt(2)
Simplify ((sqrt(12) - (sqrt(108)/sqrt(36) - sqrt(12)))/(sqrt(384)*2 + sqrt(384)))**2.
1/128
Simplify -1*-2*sqrt(567).
18*sqrt(7)
Simplify ((sqrt(150)*1)/(sqrt(12)*-2))**2.
25/8
Simplify sqrt(12)/(4*sqrt(196)).
sqrt(3)/28
Simplify 1*(-2 + sqrt(52))**2*-5.
-280 + 40*sqrt(13)
Simplify (-3 + 5*(sqrt(396) + -1))**2.
-480*sqrt(11) + 9964
Simplify 3*2*sqrt(1088).
48*sqrt(17)
Simplify -4 + 4 + 2*sqrt(3) + ((sqrt(192)*-1)**2 - sqrt(192)).
-6*sqrt(3) + 192
Simplify -3*sqrt(176)*-2 + -4.
-4 + 24*sqrt(11)
Simplify (sqrt(125) + sqrt(125) + sqrt(125) + (sqrt(125) + sqrt(125) + 1)*-5 + sqrt(125))**2.
300*sqrt(5) + 4525
Simplify ((sqrt(1274) - (sqrt(1274) + sqrt(1274) + sqrt(1274)*-1 + sqrt(1274)))/(sqrt(20)/(sqrt(30)/sqrt(3))) + 2)**2.
-28*sqrt(13) + 641
Simplify sqrt(637)*1*-4 - (-1 + sqrt(637) + sqrt(637) + 5 - sqrt(637))**2.
-653 - 84*sqrt(13)
Simplify ((sqrt(228) - ((sqrt(228) - (sqrt(228) + sqrt(228)*-1)) + sqrt(228)))*-3)/(2*sqrt(12)*1).
3*sqrt(19)/2
Simplify (-1 + (sqrt(1216)*3)**2)*6.
65658
Simplify -2 + -5 + (sqrt(45))**2 + -2.
36
Simplify (sqrt(45)/sqrt(5)*3)/sqrt(192).
3*sqrt(3)/8
Simplify ((sqrt(200) - (sqrt(200) + -4)) + 3)**2 + -1.
48
Simplify -2*5*sqrt(27).
-30*sqrt(3)
Simplify -4*sqrt(3)*-1 + 0.
4*sqrt(3)
Simplify sqrt(2736) + (sqrt(2736) + 2 + sqrt(2736) + 4)**2.
300*sqrt(19) + 10980
Simplify (sqrt(1216)*-2 - sqrt(1216) - -1*sqrt(475))*4.
-76*sqrt(19)
Simplify (sqrt(19) - (sqrt(19) - ((-1 + sqrt(19))**2 - sqrt(19)))) + 4 - ((sqrt(19)*-1)**2 + -4).
-3*sqrt(19) + 9
Simplify -2*sqrt(12)/(sqrt(8)/sqrt(2)).
-2*sqrt(3)
Simplify -4 + sqrt(135)/sqrt(3).
-4 + 3*sqrt(5)
Simplify sqrt(20)*-2 + -5 + 0.
-4*sqrt(5) - 5
Simplify 0 + sqrt(6)/sqrt(3) + (sqrt(2) + -1)*3.
-3 + 4*sqrt(2)
Simplify (sqrt(51) - sqrt(459))/sqrt(3) + 0.
-2*sqrt(17)
Simplify (2 + sqrt(704))**2*-2.
-1416 - 64*sqrt(11)
Simplify ((-3 + (sqrt(684) - sqrt(684)*1) + 5)*-5)**2.
100
Simplify ((-2*sqrt(70)*-3 + sqrt(70))/((sqrt(100)*-1)/sqrt(10)))**2.
343
Simplify (sqrt(700) + 2 + sqrt(700))**2 - (0 + sqrt(7) + -5).
79*sqrt(7) + 2809
Simplify ((5 + sqrt(343))*2 - sqrt(343))**2.
140*sqrt(7) + 443
Simplify ((-1*sqrt(1666) - sqrt(1666))/(sqrt(250)/sqrt(5)))**2.
3332/25
Simplify (sqrt(15)*1)/sqrt(5) - (0 + sqrt(300)).
-9*sqrt(3)
Simplify -4*(2 + (sqrt(832) + sqrt(832)*3 + sqrt(832))**2).
-83208
Simplify (6*(2 + sqrt(1300)))**2.
1440*sqrt(13) + 46944
Simplify sqrt(128)*-4 + 3.
-32*sqrt(2) + 3
Simplify sqrt(104)/(sqrt(8)/sqrt(4)*-4).
-sqrt(13)/2
Simplify -4 + sqrt(200)/(-4*sqrt(4)).
-4 - 5*sqrt(2)/4
Simplify -5 + (sqrt(78)*-1)/sqrt(6).
-5 - sqrt(13)
Simplify sqrt(30)/((-2*sqrt(90) - sqrt(90)) + sqrt(90) - sqrt(10)).
-sqrt(3)/7
Simplify -1 + 5*sqrt(931).
-1 + 35*sqrt(19)
Simplify ((-1*sqrt(17)*-4 + 1)*-2)**2.
32*sqrt(17) + 1092
Simplify (-1 + sqrt(17)*3)**2 - -1*sqrt(833).
sqrt(17) + 154
Simplify sqrt(14)/(sqrt(35)/sqrt(5))*-2.
-2*sqrt(2)
Simplify (-1 + -1 + sqrt(68))**2.
-8*sqrt(17) + 72
Simplify ((-4*(sqrt(85) + (sqrt(85) - 1*sqrt(85)) - sqrt(85)))/sqrt(5) + 2)**2.
4
Simplify ((2*(sqrt(18)*-1 + sqrt(18)))/(sqrt(441) + sqrt(441)*1 + sqrt(441)))**2.
0
Simplify -1 + (3*sqrt(832)*-4)**2.
119807
Simplify (3 + sqrt(112) + (sqrt(112) - (-1 + sqrt(112))) - sqrt(112))**2.
16
Simplify (-4 + (sqrt(1872) - -3*-1*sqrt(1872)) + 2)**2.
96*sqrt(13) + 7492
Simplify 0 + sqrt(44) + -1*sqrt(11) + -5 + 4.
-1 + sqrt(11)
Simplify sqrt(1331) + 0 + (sqrt(176) - (sqrt(176) + 0))**2.
11*sqrt(11)
Simplify (3*(sqrt(2401) + sqrt(2401)*1)/sqrt(7)*-6)**2.
444528
Simplify (sqrt(539) - ((sqrt(539)*-1)**2*6 + sqrt(539)))*2.
-6468
Simplify (sqrt(112) + 1*sqrt(112) + sqrt(112))**2 + sqrt(448) + 1 + sqrt(448).
16*sqrt(7) + 1009
Simplify 4 + sqrt(48) + 4.
4*sqrt(3) + 8
Simplify ((2 + sqrt(72))*6)**2.
864*sqrt(2) + 2736
Simplify ((sqrt(7) + 0 + -2)**2 - (-2 + sqrt(700))**2) + 1.
-692 + 36*sqrt(7)
Simplify -3*(2*sqrt(5))**2 + sqrt(245)*3 + sqrt(245).
-60 + 28*sqrt(5)
Simplify (-4 + -4 + sqrt(720) + -1 + -3)**2.
-288*sqrt(5) + 864
Simplify -2 + sqrt(6)/sqrt(3)*6 + (-1 + sqrt(2) + sqrt(18))*3.
-5 + 18*sqrt(2)
Simplify sqrt(176)/(sqrt(400)*3).
sqrt(11)/15
Simplify (-3*sqrt(48) + -4)**2.
96*sqrt(3) + 448
Simplify -3 + (sqrt(2052)*-1)/sqrt(3).
-6*sqrt(19) - 3
Simplify (sqrt(102)/sqrt(294) + 5)**2.
10*sqrt(17)/7 + 1242/49
Simplify -3 + (sqrt(75) + 2)**2 - (3 + -2 + sqrt(75) - sqrt(75)).
20*sqrt(3) + 75
Simplify -5 + 6*(sqrt(1300)*-2)**2.
31195
Simplify (sqrt(34)/((sqrt(144) - sqrt(16))/sqrt(8)))**2.
17/4
Simplify (0 + (1*sqrt(245) - (sqrt(5) - 1*sqrt(5)*3)))**2.
405
Simplify ((-1 + sqrt(1872))*4)**2.
-384*sqrt(13) + 29968
Simplify -4 + (1*sqrt(1088)*3)**2.
9788
Simplify 5*((-1 + sqrt(108))*6)**2.
-2160*sqrt(3) + 19620
Simplify -2 + -1*sqrt(19)*-1 + sqrt(38)/sqrt(2)*6 + sqrt(19).
-2 + 8*sqrt(19)
Simplify (sqrt(3) - (sqrt(30)/sqrt(160))**2) + sqrt(3) - (2 + sqrt(75))**2.
-1267/16 - 18*sqrt(3)
Simplify (sqrt(36)*-2*-2)/(sqrt(72)/(sqrt(6) + sqrt(96))) + 0.
20*sqrt(3)
Simplify 1 + 5 + (-2*sqrt(539) - sqrt(539)).
-21*sqrt(11) + 6
Simplify (sqrt(77) - (sqrt(77) - (sqrt(77) + sqrt(77)*1))*-4)/(sqrt(176)*-1).
3*sqrt(7)/4
Simplify 3 + -1 + 1*sqrt(2) + 4.
sqrt(2) + 6
Simplify (sqrt(7) + (sqrt(7) - (sqrt(7) + 3*sqrt(42)/sqrt(6))) + sqrt(175) + 1)**2.
6*sqrt(7) + 64
Simplify (1*sqrt(45) - (sqrt(125) + 2))**2.
8*sqrt(5) + 24
Simplify ((1*sqrt(10))/sqrt(5) + (sqrt(2) - (3 + sqrt(6)/sqrt(3))) - sqrt(72)*1)**2.
30*sqrt(2) + 59
Simplify ((sqrt(3648) - sqrt(3648)*2) + sqrt(57) + sqrt(57))/(sqrt(3) + (sqrt(27)*-3 - sqrt(3))).
2*sqrt(19)/3
Simplify sqrt(34)/sqrt(128).
sqrt(17)/8
Simplify (1 + | {
"pile_set_name": "DM Mathematics"
} |
32*v**2/21 + 88. Determine d so that q(d) = 0.
-4, -1, 0, 8
Let x(f) = -16*f**2 + 20*f - 52. Let w(n) = -6*n**2 - n + 1. Let i(r) = r**2. Let k(h) = 5*i(h) + w(h). Let o(d) = 12*k(d) - x(d). Factor o(q).
4*(q - 4)**2
Let i = -48 - -45. Let u be (-8)/(-6) - (51/18 + i). Determine o so that 6*o + 9/2 + u*o**2 = 0.
-3, -1
Let t(v) = -19*v - 342. Let d be t(-18). Determine m, given that 1/4*m**2 + d - 1/4*m = 0.
0, 1
Let z be -5*(-2 + 32/20). Let n = 5 + -2. Let -3 - 2*t**z - 7*t - n*t**3 + t**2 + 10*t + 4*t**2 = 0. Calculate t.
-1, 1
Let n(r) be the second derivative of r**6/180 - r**5/6 + 25*r**4/18 + 394*r. Factor n(s).
s**2*(s - 10)**2/6
Factor 10648 + 6603*i + 990*i**2 + 2*i**4 + 74*i**3 - 1035*i - 2*i.
2*(i + 4)*(i + 11)**3
Let v(p) be the first derivative of -p**7/14 - p**6/10 + 3*p**5/4 - 3*p**4/4 + 9*p - 28. Let s(b) be the first derivative of v(b). Find a, given that s(a) = 0.
-3, 0, 1
Let w(g) be the first derivative of -3*g**5/5 + 6*g**4 + 33*g**3 + 6*g**2 - 132*g + 5. Factor w(k).
-3*(k - 11)*(k - 1)*(k + 2)**2
Let p = 19 - 113/6. Let c(v) be the second derivative of 1/10*v**5 + 0 - 3*v - v**2 - 1/3*v**3 + p*v**4. What is t in c(t) = 0?
-1, 1
Let x(f) be the second derivative of f**7/21 + f**6/5 - 9*f**5/5 - 16*f**4/3 + 32*f**3 - 2*f + 58. Let x(m) = 0. Calculate m.
-4, 0, 2, 3
Let w(q) be the third derivative of 0*q**4 - 1/180*q**5 + 0 + 0*q + 16*q**2 + 0*q**3 - 1/1008*q**8 - 1/210*q**7 - 1/120*q**6. Factor w(y).
-y**2*(y + 1)**3/3
Suppose 4*i + 16 = 8*i. Suppose -3*w = -i*w + 3. Factor 0*d - 2/3*d**5 - 2/3*d**4 + 2/3*d**2 + 0 + 2/3*d**w.
-2*d**2*(d - 1)*(d + 1)**2/3
Let -3/7*a**2 + 54/7*a - 51/7 = 0. Calculate a.
1, 17
Let a(h) = -6*h**2 - 17*h - 1. Let p(y) = -y**2 - y - 1. Let z be ((-4)/10)/(10/(-50)). Let u(l) = z*a(l) + 6*p(l). Find b, given that u(b) = 0.
-2, -2/9
Let m(o) be the first derivative of 0*o**2 + 0*o**5 - 1/3*o**3 + 1/1800*o**6 + 0*o**4 + 0*o - 4. Let u(x) be the third derivative of m(x). Factor u(r).
r**2/5
Let i be (7 - 14) + (-205)/(-25) + (-6)/(-20). Factor 3/2*w + i - 3*w**2.
-3*(w - 1)*(2*w + 1)/2
Let z be 2*(32/17 + 28/238). Factor 37*i + 19 + 52*i**2 - 3 + 24*i**3 + z*i**4 + 11*i.
4*(i + 1)**2*(i + 2)**2
Suppose 6 = v + 4. Let w(y) = -y**2 - y - 1. Let h(f) = -12*f**3 - 9*f - 12. Let b(s) = v*h(s) - 22*w(s). What is d in b(d) = 0?
-1/3, 1/4, 1
Let i(w) be the second derivative of -w**7/280 - w**6/60 - w**5/40 - 19*w**3/6 - 12*w. Let r(y) be the second derivative of i(y). Factor r(t).
-3*t*(t + 1)**2
Let t = 185 - 177. Let b(p) = -2*p**2 + 20*p - 27. Let s be b(t). Factor 4/11*x**3 + 0 + 0*x**2 - 14/11*x**s + 0*x - 10/11*x**4.
-2*x**3*(x + 1)*(7*x - 2)/11
Let p(a) be the first derivative of -1/6*a**4 + 1/9*a**6 + 22 - 14/9*a**3 + 2/5*a**5 + 8/3*a + 0*a**2. Solve p(g) = 0.
-2, -1, 1
Let f(y) be the second derivative of -y**6/40 - 21*y**5/80 - 3*y**4/8 - 13*y - 4. Suppose f(j) = 0. Calculate j.
-6, -1, 0
Factor -8/19*n + 2/19*n**2 - 42/19.
2*(n - 7)*(n + 3)/19
Let m = -9152031/9545 + 57/1909. Let v = m + 962. Suppose 8/5 - 4*h + v*h**2 - 4/5*h**3 = 0. Calculate h.
1, 2
What is t in t**3 + 6*t + 7*t - 107*t**2 + 8*t + 6*t - 5*t**3 = 0?
-27, 0, 1/4
Let h = -12037/15922 + -3/419. Let v = -5/19 - h. Solve v + 1/2*p**2 - p = 0.
1
Let t be 156/(-8)*(-12)/6. Suppose -2*x = g, 4*g - t = -0*x + 5*x. Factor 3/2*d**2 + g + 6*d.
3*(d + 2)**2/2
Let y(w) be the first derivative of -10/11*w + 24 + 6/11*w**2 - 2/33*w**3. Factor y(z).
-2*(z - 5)*(z - 1)/11
Let o(p) be the first derivative of p**3/6 - 3*p**2/2 + 5*p/2 - 19. What is h in o(h) = 0?
1, 5
Let c(d) = -d**2 - 20*d - 8. Let k be c(-12). Let l be (6/k)/(12/32). Suppose -l*b**2 - 8/11 + 8/11*b = 0. Calculate b.
2
Let k = 16/21 + -5/7. Let i(s) be the second derivative of 1/21*s**6 + 1/35*s**5 + 0*s**3 + 0*s**4 + 0*s**2 + 0 - 5*s - k*s**7. Determine z so that i(z) = 0.
-2/7, 0, 1
Let m(o) be the second derivative of 9*o**5/35 - 524*o**4/21 + 15370*o**3/21 - 3364*o**2/7 - 404*o. Determine s, given that m(s) = 0.
2/9, 29
Factor -24234722 + 44*a**4 - 46*a**4 - 209*a**3 - 41772*a**2 + 1643032*a + 681*a**3.
-2*(a - 59)**4
Suppose 1590 + 60 = 10*z. Let t = z - 161. Factor 3/7*v + 6/7*v**2 - 6/7*v**3 - 3/7 - 3/7*v**t + 3/7*v**5.
3*(v - 1)**3*(v + 1)**2/7
Let j(c) be the second derivative of -3*c**5/140 + c**4/28 + 5*c**3/7 + 12*c**2/7 + 37*c. Factor j(x).
-3*(x - 4)*(x + 1)*(x + 2)/7
Let l(z) be the first derivative of 0*z + 1/1620*z**6 + 1/540*z**5 + 0*z**4 - 1 + 0*z**2 + z**3. Let r(b) be the third derivative of l(b). Factor r(h).
2*h*(h + 1)/9
Let r(a) = -11*a**3 - 51*a**2 + 68*a - 6. Let l(m) = 20*m**3 + 100*m**2 - 137*m + 11. Let q(y) = 6*l(y) + 11*r(y). Solve q(x) = 0 for x.
0, 2, 37
Suppose -v + 23 = q - 2*q, 5*v - 75 = -3*q. Suppose 5*j = 3*j + v. Factor -1 + 8*b**4 - 63*b**2 + 75*b**3 + 7 - 35*b**4 + j*b.
-3*(b - 1)**3*(9*b + 2)
Let o(d) be the first derivative of -46*d**3/3 - 25*d**2 - 4*d - 17. Factor o(k).
-2*(k + 1)*(23*k + 2)
Suppose 0 = -2*a - i + 6, -377*i + 376*i = 2. Determine h, given that 22/5*h + 2/5*h**a - 8/5 + 2/5*h**3 - 18/5*h**2 = 0.
-4, 1
Let w be (-40068)/(-2484) + 39/(-3). Factor 24/23*s - 2/23*s**2 - w.
-2*(s - 6)**2/23
Factor -3*z**2 + 3*z**4 + 35/4*z**3 - 9*z + 1/4*z**5 + 0.
z*(z - 1)*(z + 1)*(z + 6)**2/4
Suppose -161*d**4 + 145*d**3 + 37*d**3 + 20 + 471*d**2 + 120*d + 19*d - 36*d**5 + 45*d = 0. What is d?
-5, -1, -1/4, -2/9, 2
Let w = -42 - -108. Let s = -329/5 + w. Factor -1/5*v**3 + s*v**2 - 1/5 + 1/5*v.
-(v - 1)**2*(v + 1)/5
Find q such that -591*q**3 + 556*q**3 + 37 - 200*q**2 - 115*q + 13 = 0.
-5, -1, 2/7
Let g(m) be the second derivative of m**7/42 - 3*m**5/10 - 2*m**4/3 - m**3/2 + 2*m. Factor g(z).
z*(z - 3)*(z + 1)**3
Let s(b) = b**2 - 18*b + 42. Let y be s(18). Let z be 1 - (2/20)/((-3)/y). Find l, given that 0 + 0*l - l**5 - 9/5*l**3 + 2/5*l**2 + z*l**4 = 0.
0, 2/5, 1
Let s(o) be the first derivative of -o**3/9 + 67*o**2/6 + 518. Let s(r) = 0. What is r?
0, 67
Let r(z) be the third derivative of z**6/210 + 2*z**5/15 + 7*z**4/6 - 3*z**2 - 150*z. Factor r(a).
4*a*(a + 7)**2/7
Let d(r) be the second derivative of 9*r**5/20 + 29*r**4/12 + 4*r**3 + 2*r**2 + 2*r - 68. Factor d(g).
(g + 1)*(g + 2)*(9*g + 2)
Suppose -4*p = -5*p + 2. Suppose -w - 4*o + 14 = 0, 0 = -w - p*w + 5*o - 9. Factor -2*q - 1 - 10*q**w - 9*q**2 + 18*q**2.
-(q + 1)**2
Find n such that -69/2*n**2 + 3/4*n - 3/4*n**3 + 69/2 = 0.
-46, -1, 1
Suppose 2*c - 19 = -3*q, -22 = -4*q + 3*c - 4*c. Suppose -3*w + 126*w**4 + 0*w**q - 132*w**4 + 6*w**2 + 3*w**5 = 0. Calculate w.
-1, 0, 1
Factor -8/3*x - 4/3*x**3 + 0 + 2/3*x**4 - 14/3*x**2.
2*x*(x - 4)*(x + 1)**2/3
Factor 62*o - 36*o - 34*o - 12 - o**2.
-(o + 2)*(o + 6)
Let y(w) be the second derivative of -w**6/10 - 3*w**5/4 - 9*w**4/4 - 7*w**3/2 - 3*w**2 - 2*w + 72. Determine g, given that y(g) = 0.
-2, -1
Factor 2/3*n - 1/6*n**2 + 5/6.
-(n - 5)*(n + 1)/6
Let h(b) be the third derivative of b**8/504 - 4*b**7/105 + 14*b**6/45 - 64*b**5/45 + 4*b**4 - 64*b**3/9 + 2*b**2 + 46*b. Factor h(r).
2*(r - 4)*(r - 2)**4/3
Let s(l) be the first derivative of l**6/2 - 27*l**5/5 + 21*l**4/2 + 24*l**3 - 280. Factor s(u).
3*u**2*(u - 6)*(u - 4)*(u + 1)
Let a(z) be the second derivative of 14/9*z**4 - 24*z - 8/15*z**6 + 4/15*z**5 + 2/3*z**3 - 4/3*z**2 - 2/9*z**7 + 0. Determine v so that a(v) = 0.
-1, 2/7, 1
Determine s, given that 125/2*s + 15625/4 + 1/4*s**2 = 0.
-125
Let v(i) be the second derivative of i**6/210 - 3*i**5/70 + 2*i**4/21 + i**3/7 - 9*i**2/14 + 13*i. Factor v(c).
(c - 3)**2*(c - 1)*(c + 1)/7
Let r(j) = -4*j**2 + 9*j. Let q(a) be the third derivative of -a**5/6 + 11*a**4/12 - 8*a**2. Let b(w) = -5*q(w) + 12*r(w). Let b(f) = 0. Calculate f.
0, 1
Factor 47*x + 5 - 2 + 1 + 961*x**2 + 77*x.
(31*x + 2)**2
Let z(s) = s**2 + s - 1. Let g(j) = 25*j**2 - 131*j + 44. Let n(w) = -24*w**2 + 132*w - 45. Let a(m) = 3*g(m) + 4*n(m). Let p(o) = -a(o) - 6*z(o). Factor p(l).
3*(l - 9)*(5*l - 2)
Let k be (-123)/189 - 9/(-21) - 612/(-2754). Determine z, given that 4/9*z + 10/9*z**2 + 2/9*z**4 + 8/9*z**3 + k = 0.
-2, -1, 0
Let c(o) be the first derivative of -o**3/6 - 3*o**2/4 - o - 27. Solve c(v) = 0 for v.
-2, -1
Let j(h) be the second derivative of -h**6/15 + h**4/2 + 2*h**3/3 + 197*h. Let j(t) = 0. What is t?
-1, 0, 2
Determine x, given that -14/3*x** | {
"pile_set_name": "DM Mathematics"
} |
5 + 19. Which is the third smallest value? (a) -5 (b) -7 (c) 1 (d) n
d
Let n be (-4)/(156/(-279)) - 3. Let q = -255/52 + n. Let z be (-1)/(-2) + (-2)/(-4). What is the third smallest value in 5, q, z?
5
Let t = 0.3 - -0.7. Let s = 5.28 + -0.28. Which is the second smallest value? (a) s (b) -0.5 (c) t
c
Let d be (-45)/10*6/9. Which is the second biggest value? (a) -5 (b) d (c) -1
b
Let r = -2 + 2.5. Let l = -1.3 + 1. Which is the third biggest value? (a) l (b) r (c) 0
a
Let l = 2.01 + -0.01. Let q = -806683/100 + 16133/2. Let b = q + 2/25. What is the smallest value in l, 0.5, b?
b
Let f = -0.2 - -0.6. Let w = 8.1 - -1.9. Let n = w - 9. What is the third smallest value in 0, f, n?
n
Let m = -5.47 + 1.41. Let t = m + 0.06. What is the second smallest value in -3, 2, t?
-3
Let a = 0.06 - -0.34. Let f = a - 0.1. Let s = 4/31 - 74/93. What is the second smallest value in s, f, -5/3?
s
Let c = 2009/3365 + 2/673. What is the biggest value in -4, 5, c?
5
Let s(q) = q + 1. Let g be s(3). Let i be ((-16)/44)/2 + 0. Suppose 0 = n - 5*r + 3, n - r - 9 = 4*n. Which is the second biggest value? (a) g (b) n (c) i
c
Suppose -2*h + 245 = 5*h. Which is the second smallest value? (a) 5 (b) h (c) 0
a
Let x = 15/8 - 51/40. Let k = 15.9 + -17. Let s = k - -1.1. What is the biggest value in s, -5, x?
x
Let q = -13 - -15. Let t be (-1 - 2/(-4))*q. Let l = -0.5 + 0. Which is the smallest value? (a) l (b) -0.1 (c) t
c
Let j = 0 - 1. Let k = 0 - 25. Let a be 4/(-15) - 10/k. What is the biggest value in j, -5, a?
a
Let c = 0.2 - 0.4. Let m = -7.7 - 1.3. Let r = -7 - m. What is the smallest value in 0.3, r, c?
c
Let l = 27.5 + -22. Let x = -0.1 + -0.4. Let d = x + l. Which is the second biggest value? (a) d (b) -5 (c) -0.1
c
Let x = 4 - 9. Let o = 10 + x. Which is the second smallest value? (a) -5 (b) o (c) 0.3
c
Let j = 26.6 - 26.6. Let d = 2 - 1. What is the smallest value in 3, j, d?
j
Let x(y) = y + 2. Let s be x(-1). Which is the biggest value? (a) -0.5 (b) 3 (c) 0.3 (d) s
b
Suppose -3 = 4*q + 5. Let x be q/(52/74) + 3. What is the second biggest value in x, 2, 1/2?
1/2
Let l = 78 - 391/5. What is the biggest value in -1, l, -3?
l
Let g = -4.2 - -4.5. Let w = -1.1 - -6.1. Which is the second biggest value? (a) g (b) 2/7 (c) w
a
Let a be (-92)/(-28) - (3 - 0). What is the second biggest value in -0.4, a, 1?
a
Let m = 1 + 3. Let u = m - 7. Let p = -0.4 - 0. What is the third biggest value in -6/7, p, u?
u
Let j = 4 + -3. Suppose -z + j = 2. Which is the third smallest value? (a) -2/7 (b) z (c) 3
c
Let n = -6 - -5. Let l = n - -0.8. Let q(y) = -y**3 - 5*y**2 - 4*y - 3. Let x be q(-4). What is the third biggest value in x, l, 4?
x
Let r be 3/(-2 - ((-35)/(-4))/(-7)). What is the smallest value in 1/2, r, -22?
-22
Let h = 1 + -1.5. Let z(u) = -u**2 + 6*u + 8. Let v be z(12). Let o = v + 319/5. Which is the second smallest value? (a) o (b) h (c) -4
b
Let y = 23 - 20. What is the third smallest value in y, 7, 7/4?
7
Suppose 0*v = -5*v - 10. Let w(u) = -u**2 + 8*u + 1. Let z be w(8). Let h = -4 + z. What is the second biggest value in v, h, 0.1?
v
Let x be (-2)/((-6)/21 + 0). Let q be 15/(-25) + x/20. What is the third biggest value in q, -3/2, -3?
-3
Let o = 82 + -82.04. What is the second biggest value in -3, o, 3, -5?
o
Let f = 17/9 + -23/36. What is the second smallest value in f, 4/15, 0.1, 2?
4/15
Let w = 347 + -333.1. Let u = w + -14. Which is the third biggest value? (a) -2/13 (b) 8 (c) u
a
Let y be 2/5*(1 + 44/(-34)). Which is the second smallest value? (a) 5 (b) 0.5 (c) y
b
Let p be (-63)/21 + 30/8. Which is the third biggest value? (a) -1 (b) p (c) 0 (d) -0.1
d
Let i be ((-2)/(-35))/(1*6/(-30)). What is the smallest value in -0.5, 4, i?
-0.5
Let r = 0.061 + -1.061. Let x be ((-2 - 2)/2)/(-1). Which is the smallest value? (a) x (b) r (c) 1
b
Let k = 0 - -1. Let v = k + -1. Suppose 3*r - 2 + 5 = 0. Which is the second smallest value? (a) r (b) v (c) -3
a
Suppose -5*i + 0*i - 4*r + 6 = 0, 4*r + 4 = 0. Let s = 1.2 - 1.9. Let m = s + 0.6. Which is the second biggest value? (a) m (b) i (c) -5
a
Let k be (-1)/(-1) + (5 - 0). Suppose -5*u + 103 = 28. Let f be 7/u + 2/k. What is the biggest value in 2, 3, f?
3
Let w = 17 - 16.96. What is the second smallest value in -2, w, -0.1?
-0.1
Let l(j) = -j**2 + 3*j + 15. Let k be l(6). Let v = -1.5 + -0.5. Which is the second smallest value? (a) k (b) 0.1 (c) v
c
Let n(r) = r**2 - r + 3. Let y be n(0). Let q = 13/5 - y. Let g = -978/5 - -195. Which is the biggest value? (a) g (b) q (c) 0.5
c
Let o = 12 + -8. Let l be ((-12)/126)/(9/21). Which is the second biggest value? (a) l (b) -3 (c) o
a
Let s = 17/9 - 2/9. What is the smallest value in -3, 3, s?
-3
Let q = -8.96 - -9. Which is the third smallest value? (a) q (b) 3 (c) 3/2
b
Let n be (22/18)/1 - 1. Let j be -1 + -1 + 16/7. What is the third smallest value in 0.1, n, j?
j
Let g = 8.8 - 8.91. Which is the second biggest value? (a) 3 (b) -1/3 (c) g (d) 1
d
Suppose -2*g + 4*u = -0 + 2, u - 23 = 5*g. Let v be (-2 - -1) + 0/g. Let l = 0 + -5. Which is the third smallest value? (a) l (b) 0 (c) v
b
Let v be 5/(-135)*3*-6. Let p = 0.2 - 0.1. What is the second biggest value in p, -4, v?
p
Let b = 11 - 9.1. Let q = b + -0.9. What is the biggest value in q, -4, -1/7?
q
Let v = 3 - 3.08. Let u = 0.05 + v. Let i = u - -3.03. Which is the smallest value? (a) i (b) -2 (c) 4
b
Let q be (-1)/(2/(-2)) - 3. Let n be (-13 + -2)*q/(-2). Let t be (4/n)/((-42)/(-35)). Which is the biggest value? (a) -0.2 (b) -3 (c) t
a
Suppose 0*u = 3*u + 3*n, 0 = -3*u + n - 20. Let r = u + 4. Which is the second smallest value? (a) r (b) -5 (c) 0.4
a
Let u be (-3)/((-1)/(30/(-9))). Let t = u + 13. Which is the smallest value? (a) t (b) 5 (c) -5
c
Let y = -223/3 - -76. Which is the biggest value? (a) 4 (b) -0.2 (c) y
a
Let s = -0.2 + 3.2. Let o = s - 3.1. Which is the second smallest value? (a) 2/15 (b) -3 (c) o
c
Let h be (-5)/(-7) + -1 - (-3)/84. Which is the fourth biggest value? (a) 0 (b) -4 (c) h (d) -2
b
Let z = -4.94 + 5. Let j = 3.94 + z. Suppose 2*g = w + 6, -3*g + 16 = -4*w + 2. What is the third biggest value in g, 0, j?
0
Let z = -253 + 3291/13. Let h = 0.4 - 0. Which is the smallest value? (a) -3 (b) h (c) z
a
Let m = 3 - 2.8. Let l be (-12)/468*-13 + (-1)/(-15). What is the smallest value in l, m, -1?
-1
Let v = -2 - -4. Let m = 1.8 - 1.3. What is the biggest value in m, v, 0?
v
Let r(k) = -3*k**2 + 46*k + 28. Let g be r(16). Let a = 11 - 7. Let j = 0.02 - -0.38. What is the second biggest value in g, a, j?
j
Let w = 1.2 - 0.2. Suppose k = 3 + 6. Let j = 5 - k. Which is the biggest value? (a) j (b) -3 (c) w
c
Let z = -0.6 + 4.6. Let x be (-203)/(-35) - (-3 - -8). Which is the third biggest value? (a) x (b) -7 (c) z
b
Let l be (1 + -3)*(-6)/4. Let b be 1/l - (-1 + 2). Let k = 30.9 - 31.2. What is the biggest value in k, 5, b?
5
Suppose -4*g + 4*u + 4 = 0, -3*u - 7 = g - 0*u. What is the third smallest value in g, -1/5, 2, 4/5?
4/5
Let t = 2.5 + -0.5. Let j = 2.8 - 0.8. Let r = t + j. What is the second biggest value in r, -1/3, 0?
0
Let y = -652 - -3274/5. What is the third smallest value in y, 0, -1?
y
Let h be 8/10*(-20)/136. Which is the biggest value? (a) 0.5 (b) 2 (c) h
b
Let j = -0.001 + -5.799. Let o = j + 6. Let f = -4 + 7. Which is the biggest value? (a) o (b) 2 (c) f
c
Let j = -5 + 13. Which is the second biggest value? (a) j (b) 0.3 (c) 0
b
Let z be -2*((-21)/(-6) - 1). What is the third smallest value in z, 4/5, 0.1, -1/8?
0.1
Let f be (8/(-10))/((-46)/115). Let z(j) = j**2 - 4*j + 1. Let n be z(3). Which is the smallest value? (a) n (b) 0.4 (c) f
a
Let z = -17 - -20. Which is the second smallest value? (a) z (b) 0.4 (c) 0.3
b
Let g be (-32)/(-12) + (-2)/(-6). What is the second biggest value in 0.3, 1/2, g?
1/2
Let l = -4.4 - -4.7. Which is the biggest value? (a) 0.4 (b) l (c) 4
c
Let n = 2.5 - 3. Let t = -0.4 + 0.7. Let z = t - 0. Which is the second smallest value? (a) n (b) z (c) 2/7
c
Let i = -0.3 + 0.34. Let b = 0.96 + i. Let n be (-28)/(-6) + (-1)/(-3). What is the smallest value in n, b, 0.2?
0.2
Let v = 0.463 - -0.037. Which is the second smallest va | {
"pile_set_name": "DM Mathematics"
} |
.217, 1/6, 4?
1/6
What is the closest to 0.4 in -0.3, -5/2, -4/3, 0.4, -222?
0.4
Which is the nearest to -4? (a) 0.028 (b) -1 (c) -231 (d) -4 (e) 0.1
d
What is the nearest to -2/11 in -11, 2/9, 5/56, 1/8, 24, 0?
0
What is the nearest to -4 in 6.25, -1, 7219?
-1
Which is the nearest to 167/6? (a) -196 (b) 0.5 (c) -0.01
b
Which is the nearest to 1/18? (a) -1/5 (b) -5 (c) 3 (d) -96
a
What is the closest to 134 in 1/4, 0.033, 3886, 0?
1/4
Which is the closest to -1/4? (a) -2 (b) -18.76 (c) 0 (d) 20 (e) 6
c
Which is the closest to -1531/3? (a) -3/10 (b) 1 (c) -2/33 (d) -1/2
d
Which is the closest to 53.4018? (a) -2 (b) -0.2 (c) -0.11 (d) 1/2
d
Which is the closest to 0.86? (a) 2 (b) 0 (c) -2 (d) -1.86
b
What is the closest to 450075 in -2/3, 2, -1, 3/8?
2
Which is the closest to -41? (a) 3/10 (b) -1/2 (c) -3 (d) -0.0708
c
Which is the nearest to -1183/9? (a) -37 (b) -0.1 (c) 14
a
What is the closest to 1 in 0.4, 1/306, 0.2, -47/7, 1?
1
What is the nearest to 0.1 in -0.5, 0.4, -2175, 11/76?
11/76
What is the nearest to -13 in -9, 6, -1/4, 1/5, 2/17?
-9
What is the nearest to -2.29 in -2/29, -9/16, 25, 1/9, 0.1?
-9/16
Which is the closest to 0.2? (a) -70 (b) 2/9 (c) 1/2 (d) 35 (e) 0.26 (f) -0.4
b
What is the nearest to -1 in 4/3, 1985, 0.3, -4, 10?
0.3
What is the closest to 1/2 in -10, -2, 106/3, 2, -85?
2
Which is the nearest to -2? (a) -0.4 (b) 1/2849 (c) 17 (d) 0.2 (e) 5 (f) -0.2
a
Which is the closest to -70? (a) -2/25 (b) -1 (c) 37 (d) 1 (e) -1.8
e
Which is the nearest to -443? (a) 336 (b) -7 (c) -0.2
b
What is the nearest to 0 in 4, -1/4, -0.1, 1707.9, -9?
-0.1
What is the closest to -1 in 1/4, -3/20, -11597?
-3/20
What is the nearest to 1 in -2, -12/23, 1/7, -1, -10?
1/7
Which is the closest to 3550? (a) -0.1 (b) 60 (c) -7 (d) 0.2
b
What is the nearest to -1/3 in 0.4, 1, -4, -27.46, -3, 7/6?
0.4
What is the closest to 35 in -0.4, 4, 22.59?
22.59
What is the closest to 0.4 in 1, 0.12, 5, 9/58?
9/58
Which is the closest to 78.21? (a) 1/5 (b) -4 (c) 3 (d) -2/41 (e) 5 (f) 0.1
e
What is the nearest to -0.2 in 1/2, 11, 360?
1/2
What is the closest to 2/5 in 9, -4/7, -2.8, -58?
-4/7
Which is the nearest to -0.7? (a) -1 (b) -2491.3 (c) 5
a
What is the closest to 1.62 in -0.62, -3, -0.3, 7/5?
7/5
What is the nearest to -2/3 in 72, 2/26531, 0.1, 6, -3, 1/2?
2/26531
Which is the nearest to -1/4? (a) 0.2 (b) 207 (c) 0 (d) 179 (e) -5 (f) 8
c
Which is the nearest to -16? (a) 14/25 (b) 1/5 (c) 5
b
What is the nearest to 1/7 in 7.43, -13, -3?
-3
What is the nearest to -6 in 4, -14, 167, -3/34?
-3/34
What is the closest to 0.04 in 6, 4, 5, -0.88, 0.6?
0.6
What is the closest to -64 in -3, -0.4, 4, 9940, -1, -7?
-7
What is the nearest to -16/933 in -3, 0, -1/3, 0.1, 4, -1/2?
0
Which is the nearest to -0.1? (a) 2 (b) 4 (c) 6 (d) -3/2146
d
Which is the nearest to -0.1? (a) -25 (b) 170 (c) 5 (d) -0.2 (e) 11285
d
Which is the closest to 0.19? (a) 1 (b) 0.5 (c) -3/10 (d) 131 (e) 2/17 (f) 20
e
What is the nearest to -8 in -164, -0.02, -0.19, 1/3, -3/4?
-3/4
Which is the closest to 856133.5? (a) 0.3 (b) -3 (c) 0.1 (d) 0.5
d
What is the closest to -2/3 in -4, -33/739, 9/146?
-33/739
Which is the nearest to 222/25? (a) 0 (b) -1/2 (c) 2/7 (d) -16
c
Which is the nearest to 2/3? (a) -360 (b) 5 (c) -8/5 (d) 6/7
d
What is the closest to 7 in -1, -7.6, 314, 1/3, 0.1?
1/3
What is the closest to 0.7413 in -1/4, -7, -4, 0.4, 2, -0.4?
0.4
Which is the closest to 0? (a) 38 (b) 1/101963 (c) -1
b
Which is the nearest to 0? (a) -2/1053 (b) 2 (c) -95 (d) 0.3 (e) -0.9
a
Which is the nearest to -0.1? (a) -1/58 (b) 0.5 (c) -2.28 (d) -0.2 (e) -39
a
Which is the nearest to 9? (a) -0.5 (b) 176.75 (c) 4
c
What is the closest to 4.34 in 0, 5/3, -198/13?
5/3
Which is the closest to 74? (a) -3/133 (b) 1 (c) -44
b
What is the closest to 4.74 in 2/445, -0.2, -16, 0.05, 2?
2
Which is the closest to -0.14? (a) -102 (b) 2 (c) -5 (d) -1 (e) -3830
d
What is the closest to -1 in -1.94, 5, 0, -23.38, -5, -0.5?
-0.5
What is the closest to 1/4 in 607, -23, 1, 0.4, 152?
0.4
What is the nearest to 0 in 4, 1.3, -37.3, -113, 0?
0
What is the nearest to -1 in 6, -0.6, 54, -59, 7?
-0.6
What is the closest to -1/37 in 4, 0.2, -3, 0, -7/114?
0
Which is the nearest to -0.04? (a) -0.5 (b) -1 (c) -4 (d) 0.2 (e) -6/11 (f) 38/3
d
Which is the closest to -2/7? (a) -0.5 (b) 5481 (c) -6
a
What is the closest to -2/3 in -506, -0.1, 253, 0.3, -1.3?
-0.1
Which is the nearest to -3/4? (a) -4 (b) 0.1 (c) -0.2 (d) -27/10 (e) 4
c
Which is the closest to 0.2? (a) 0.6 (b) -14/89025 (c) 0.7
b
What is the closest to 0.5 in 3/17932, -1, 9?
3/17932
What is the nearest to -67350 in -2, 3.6, 4/3?
-2
Which is the closest to 0.03? (a) -62/21 (b) -2 (c) 0.3 (d) -3 (e) 9.2
c
Which is the nearest to -166? (a) -181 (b) -4 (c) -0.3
a
What is the nearest to 1 in -11, -0.4, -2, -0.2, -14528?
-0.2
Which is the closest to 1? (a) 142/7 (b) 0.03 (c) -100/9 (d) -2/9 (e) -2/3
b
Which is the nearest to -311/18? (a) 0.27 (b) -7 (c) -3 (d) 0.4
b
Which is the nearest to 16? (a) 0.5 (b) -2/9 (c) -167/99
a
What is the nearest to 0.01 in -0.093, -5/22, -1/3?
-0.093
Which is the closest to 2? (a) -3 (b) -1/52 (c) 925/27 (d) -0.03 (e) 0.5
e
Which is the nearest to -53? (a) 3/13 (b) 0.3 (c) -0.4 (d) 23 (e) 2
c
Which is the nearest to -23? (a) 1/8 (b) 2/3 (c) -4329 (d) -1
d
What is the nearest to 3 in 53, 500879, -6/7?
-6/7
Which is the nearest to 5? (a) -16 (b) 2 (c) -1/2 (d) 2/15 (e) 31
b
Which is the nearest to -6? (a) -4 (b) -2.1 (c) 0.256 (d) -1 (e) 0.6
a
Which is the nearest to 2? (a) 5 (b) 0 (c) 0.3 (d) 65 (e) 0.04
c
Which is the nearest to 28.21? (a) 0.6 (b) 0 (c) 3/4 (d) -5 (e) -2/7 (f) 0.2
c
Which is the nearest to -1? (a) 1/3 (b) 9 (c) 1393177 (d) -0.1 (e) -0.6
e
What is the closest to -0.041 in 5.1, -0.2, -0.004, 12?
-0.004
Which is the closest to -2/5? (a) 0.2 (b) -0.03 (c) -1.2 (d) 5 (e) 1871 (f) -9
b
What is the closest to -55 in -1/2, -1.766, -0.1?
-1.766
What is the nearest to 0.03 in -5/29, -0.24, 0.11, 26, 5?
0.11
What is the closest to -1.4 in 4, 18/17, -3/11, -3/4, 2?
-3/4
Which is the closest to 1? (a) 152/1107 (b) -193 (c) -2
a
What is the nearest to -9.06 in 1/576, -1, 0.3?
-1
What is the nearest to 2/353 in 0.2, -7, -0.11, 1, -2/7?
-0.11
Which is the nearest to 2/57? (a) 5 (b) 6/11 (c) -61.91
b
What is the nearest to 0.1 in -4, 3.6, -246/11, -212?
3.6
What is the nearest to 11/13 in -101, -0.8, 0.15?
0.15
What is the nearest to -1/4 in -4, -3, 7, 0.3449, 0?
0
What is the nearest to -1/3 in 1, 9, -5, -4/1023, 2/11?
-4/1023
What is the nearest to -0.03 in 32353, -4, 4, -0.117, 0?
0
What is the closest to -5 in 0.041, 0, 67, 24, 2, 0.4?
0
Which is the closest to 434? (a) -2/3 (b) 5 (c) 2/191 (d) -1 (e) 4 (f) -1/7
b
Which is the closest to -694.5? (a) -1/7 (b) 0 (c) -20
c
Which is the nearest to -587? (a) 0 (b) -1/16 (c) 77
b
Which is the closest to 1/2? (a) -2/77 (b) 1/4 (c) -0.091 (d) 2/3 (e) 0.4
e
Which is the nearest to -3/2? (a) -1/5 (b) 21.355 (c) -0.1 (d) 0.12 (e) 0.5 (f) -22
a
Which is the nearest to -1724? (a) -4 (b) 3/2 (c) -2.3 (d) 5
a
Which is the nearest to 22? (a) 1 (b) 1/6153 (c) -0.1 (d) -3
a
What is the closest to -19/4 in 9, -0.71, -1/5, 2/3?
-0.71
Which is the closest to 3/7? (a) -266 (b) -0.9 (c) 3/7 (d) 428
c
Which is the closest to 2/3? (a) 1050/83 (b) 0.4 (c) -2/97
b
Which is the nearest to 0.1? (a) -2 (b) -2.9 (c) 22/29 (d) 20/7
c
What is the closest to 2 in -3, -0.2, 27/10, -124, 2?
2
What is the closest to 1517.4 in -0.2, 446, 4/9, 4?
446
What is the closest to -6/5 in 2/17, 499, 7?
2/17
What is the closest to 3/65 in -1.2, 5/354, -2, -0.1?
5/354
Which is the nearest to -2/9? (a) 1279.46 (b) 0 (c) -0.2 (d) -38
c
What is the closest to 2/23 in -8, 14/3, -4, 14/29?
14/29
What is the nearest to 12700 in 1/9, -1/2, 84?
84
Which is the nearest to -0.18? (a) -2.06 (b) -0.3 (c) 4 (d) 13 (e) 1
b
Which is the closest to 0.5? (a) -0.3 (b) 5 (c) -7150390
a
Which is the nearest to -19? (a) 1 (b) 1/3 (c) 3 (d) 0 (e) 219
d
Which is the nearest to 131. | {
"pile_set_name": "DM Mathematics"
} |
+ 11*h**2 - 2*h**2 + h**3. Let p be g(-9). Let q(c) = 2*c**2 - 4*c - 4. What are the prime factors of q(p)?
2
Suppose -2*u + 5 = -7. Suppose -11*v = -u*v - 655. What are the prime factors of v?
131
Suppose -3 = j - 17. Let k = j - -21. What are the prime factors of k?
5, 7
Let p(t) = -9*t - 13. Let k be 4/14 + 19/7. Suppose -k*y = -y + 12. What are the prime factors of p(y)?
41
Suppose 58279 = 58*o - 45*o. List the prime factors of o.
4483
Let l be 4 - 6*(-4 + 6). Let f be ((-759)/(-44))/((-1)/l). Suppose 16*a = 19*a - f. What are the prime factors of a?
2, 23
Let p be 975/9 - 3/9. Let g(u) = -u**3 - 5*u**2 - 6*u - 5. Let n be g(-4). Suppose p = b + n*b. What are the prime factors of b?
3
Let b = -1016 + 2126. List the prime factors of b.
2, 3, 5, 37
Suppose 87 + 25 = q. Let b = q - 38. List the prime factors of b.
2, 37
What are the prime factors of (3 - -1) + (609 - -3)/3?
2, 13
Let v be 6/4 - 2/4. Let s(c) = 128*c**2 - 57*c**2 + c - 40*c**2 - 2. What are the prime factors of s(v)?
2, 3, 5
Let j = -40 + 40. Suppose b = 0, 2*h + 5*b - 17 - 37 = j. What are the prime factors of h?
3
Let i be 381/(-2)*4/(-6). Suppose -2*n + i = -x, -3*n - 4*x = -6*n + 178. List the prime factors of n.
2, 3, 11
Let b(o) = -2*o + 3. Let v be b(2). What are the prime factors of (-6)/((-24)/388)*(2 + v)?
97
Suppose 5*v - 7*v = -2*t - 2750, -2750 = -2*v + t. What are the prime factors of v?
5, 11
Let w = 7052 - 4408. List the prime factors of w.
2, 661
Suppose 6*k = 81 + 3. Let z = k + 12. What are the prime factors of z?
2, 13
Let u(m) = m**3 - 9*m**2 - 11*m - 6. Let l be u(10). List the prime factors of (l/10)/(20/(-450)).
2, 3
List the prime factors of 1*(1339 + (3*-4)/2).
31, 43
Let y(b) = -7*b - 4. Let i be y(-1). Let j(v) = 6*v**3 - 8*v**3 - 3*v**3 - i*v**2 + 1 + 3*v + 2*v**3. What are the prime factors of j(-3)?
2, 23
Let r(a) be the third derivative of a**5/30 - 5*a**4/24 + a**3/2 - a**2. What are the prime factors of r(6)?
3, 5
Suppose 4*l + 3*w = -154, -3*l - 74 - 27 = -5*w. Let p = 84 + l. What are the prime factors of p?
47
Let t = -43 - -99. Let b = 78 - t. What are the prime factors of b?
2, 11
Let g be 6*(1*-28)/4. Let q = 84 + g. What are the prime factors of q?
2, 3, 7
Let u(b) = b**3 - 6*b**2 + 3*b - 1. Let v be u(2). Let c be (-6)/12 + v/(-2). Suppose -197 = -4*l + j, c*j + 201 = 4*l - 0*l. List the prime factors of l.
7
Suppose 118*t = 109*t + 23094. List the prime factors of t.
2, 1283
Let o = -530 + 1982. What are the prime factors of o?
2, 3, 11
Let z = 2475 - -2648. What are the prime factors of z?
47, 109
Let r(t) = t**3 - 5*t**2 + 5*t - 2. Let j be r(4). Suppose 7 = j*f - 65. Suppose -14*o = -10*o - f. List the prime factors of o.
3
Let n = 459 + 350. List the prime factors of n.
809
Let q(s) = s**2 - 10*s - 8. Let n be q(11). Suppose 4*m - 60 = -4*i, 5*i - n*m - 2*m = 105. List the prime factors of 2 - 3 - (0 - i).
17
Let s = 222 - 152. Let l = s + -37. List the prime factors of l.
3, 11
Let w(s) = 7*s + 0 - 6*s**3 - 4 + 7*s**2 + 7*s**3. Let r be w(-6). What are the prime factors of (-3 - (0 + r))*1?
7
Suppose 0 = -4*p + v - 9, -3*p = -6*p + 4*v - 10. Let k be (p/4)/(1/(-10)). Suppose k*x + 92 = 2*b, -3*x + 70 = 3*b - 89. List the prime factors of b.
3, 17
Let o(w) = -78*w + 64. What are the prime factors of o(-2)?
2, 5, 11
Suppose 4 = -j - 0. Let f(q) = -3*q - 7. Let w be f(j). Suppose 2*x - w*v = 11, x = 2*x + 5*v - 28. What are the prime factors of x?
13
Let w(a) = -4*a**2 + 15*a + 5. Let q(t) be the first derivative of t**3 - 5*t**2 - 3*t + 1. Let n(m) = 7*q(m) + 5*w(m). What are the prime factors of n(-8)?
2, 7
Suppose -5*x - o = -9265, -3*x - o + 1227 = -4332. List the prime factors of x.
17, 109
Let a(n) = n**3 + 5*n**2 + 4*n + 1. Let b be a(-4). Suppose c - b = 1. Suppose -2*q = l - 24, c*q + 2*l - 22 = -0*l. List the prime factors of q.
13
Suppose 555 = 10*r - 3915. List the prime factors of r.
3, 149
Let n(c) = c**3 + 15*c**2 + 10*c - 15. List the prime factors of n(-13).
193
Suppose -5*j = -3*c + 2*c - 1443, 2*c = 5*j - 1441. What are the prime factors of j?
17
Let y be (4/(-16) - -1)*168 - 1. Let n = y + -21. List the prime factors of n.
2, 13
Let b be (-8)/(-20) - 82/5. Let y = b - -32. List the prime factors of y.
2
Suppose -4*n + 3*n = 3*h + 2, -3*n = -2*h - 16. List the prime factors of n/12*(-1 + 1) - -30.
2, 3, 5
Let k = 184 - 53. List the prime factors of k.
131
Let c(j) = -j**2 - 11*j - 16. Let b be c(-8). Suppose -d = -3*u - 4, -2*d + 0*u = -u - b. What are the prime factors of -3 + (0 + d - -70)?
71
Let a(d) = -92*d + 17. Let f = 95 + -98. List the prime factors of a(f).
293
Suppose -2*h + 5*n + 10675 = 0, 5*n - 26670 = 10*h - 15*h. What are the prime factors of h?
5, 11, 97
Suppose 3*w + 2*o = 2 + 7, -6 = -2*o. List the prime factors of -1*(w - 0) - -4.
3
Suppose -2*n = 3*u + 2*u - 10, -25 = 5*u - 5*n. Suppose -4*i + 374 = -0*i + 5*d, 3*i - 2*d - 269 = u. What are the prime factors of i?
7, 13
Suppose 412 + 263 = 5*p. What are the prime factors of p?
3, 5
Let z(j) = -31*j - 6. List the prime factors of z(-21).
3, 5, 43
Suppose 5*k = 5*a - 12 - 13, 3*k + 4*a = 20. Suppose 4*d - s = 2*d + 305, k = -2*d + 4*s + 308. What are the prime factors of d?
2, 19
What are the prime factors of (-1)/(0 + (-4)/2364)?
3, 197
Suppose 8*h - 5*h = -4*j + 4711, -2*h - 4*j = -3134. What are the prime factors of h?
19, 83
Suppose 23*y = 20*y + 2436. List the prime factors of y.
2, 7, 29
Let x = 15 - 8. Suppose 5*w + n - 9 = 0, 5*w = -n - 2*n + x. Suppose -2*y - 13 + 75 = -3*u, 64 = 2*y - w*u. What are the prime factors of y?
2, 17
Let u be -2 - 10/(2 - 4). Suppose -u*x = -4*b + 52, -2*b = -4*b + x + 28. List the prime factors of b.
2
What are the prime factors of (4/(-2))/((-126)/30429)?
3, 7, 23
List the prime factors of (3 + (-22)/6)/(10/(-11145)).
743
Let k be (1 - 263)/(2 + 0). Let u = -21 - k. Let q = u - 62. What are the prime factors of q?
2, 3
Suppose 4*z - 5*z + x = -7, 3*z + 4 = -2*x. Suppose -k + 2*k = a - 1, 0 = z*k - 6. Suppose -8 = 3*s - a*s + 2*i, 4 = 3*s + 4*i. List the prime factors of s.
2
Suppose -k + 75 = 4*o, 2*k - 3*o - 106 = -0*k. List the prime factors of (k/(-3))/(3/(-9)).
59
Suppose 0 = 92*p - 73*p - 11894. What are the prime factors of p?
2, 313
Let h(i) = -13*i + 13 - 7*i - 27. What are the prime factors of h(-3)?
2, 23
Let c(q) = 34*q**2 - 18*q + 36. What are the prime factors of c(9)?
2, 3, 73
Let x(j) = -6*j - 14 + 5 - 1 - 16. List the prime factors of x(-17).
2, 19
What are the prime factors of (126360/(-9))/(-9) + 0?
2, 3, 5, 13
Suppose 5*q = 4*h - 44, -2*h + 1 = 9. What are the prime factors of q/(-8) - 1/(-2)?
2
What are the prime factors of 92872/172 + 50/1075?
2, 3, 5
List the prime factors of (-3 - 22)/(6/(2 - 56)).
3, 5
Let b(o) = 19*o. Let r be b(-4). Let w = r - -128. What are the prime factors of (w/12)/(1/6)?
2, 13
Suppose 3*v + k - 15 = 3*k, 5*k = -5*v + 25. Suppose -v*i = -8 - 7. Suppose i*p = 5*p - 12. List the prime factors of p.
2, 3
Let n(t) = 11*t**2 + 3*t + 3. Let g be n(-2). Let d = g - 59. What are the prime factors of 3/(d/21 - -1)?
3, 7
Suppose 5*s - 1 = -6. Let i be 1/s - (-1)/1. Suppose i*t = -2*t + 26. List the prime factors of t.
13
Suppose -g - 7*w + 3*w + 415 = 0, -3*g = w - 1201. Let d = -230 + g. List the prime factors of d.
13
Let v(y) be the first derivative of -y - 13. Let n(r) = -r - 7. Let j(f) = -n(f) - 5*v(f). List the prime factors of j(0).
2, 3
Let q = -436 + 788. List the prime factors of q.
2, 11
Let m(v) = -4*v. Let a be m(-3). Suppose -a*b = -5*b - 77. List the prime factors of b.
11
Let s = -246 + 347. Let g(c) = 2*c**2 - 5*c - 27. Let d be g(-8). Let z = d - s. What are the prime factors of z?
2, 5
Suppose -2*m - 3 + 45 = 4*u, -5*m - 4*u + 81 = 0. Let l(f) = 9*f - 10. Let i(z) = 12*z - 10. Let n(a) = -2*i(a) + 3*l(a). What are the prime factors of n(m)?
29
Let m(b) = b**2 - 16*b + 47. Let r(u) = -u**2 - 10*u + 3. Let a be r(-8). What are the prime factors of m(a)?
2, 13
Suppose -20 - 13 = -2*m - s, 4 = m + 3*s. Let u(f) = f**2 - 13*f + 1. What are the prime factors of u(m)?
5, 23
Let f = 205 + -28. What are the prime factors of f?
3, 59
Suppose 969*c = 984*c - 42765. List the prime factors of c.
2851
Suppose 10*c - 12351 = 12619. What are the prime factors | {
"pile_set_name": "DM Mathematics"
} |
of 324 and x.
18
Let k(m) = -234*m - 2302. Let o be k(-11). What is the greatest common factor of 85 and o?
17
Suppose -i + 7 = -129. Let b = i - 116. Suppose -5*t = -4 - 46. What is the highest common divisor of t and b?
10
Let t = -103 + 193. Let i = -9 + -6. Let w(j) = -2*j - 20. Let o be w(i). What is the highest common divisor of o and t?
10
Let f = 53 - 43. Suppose -222 = 7*w - f*w. Let x be (-8)/12*3 + w. Calculate the greatest common factor of x and 9.
9
Let v = -177 - -149. Let b(i) = i**3 + 29*i**2 + 19*i + 27. Let q be b(v). What is the highest common factor of q and 31?
31
Suppose -4*x + 9*x - 20 = 0. Suppose x*w + 7*i = 11*i + 1104, 0 = 5*w - 4*i - 1379. Calculate the greatest common factor of w and 220.
55
Suppose -70*s + 46816 = 9*s + 54*s. Calculate the greatest common factor of 4664 and s.
88
Let t = 4973 + -3560. Calculate the greatest common divisor of t and 27.
9
Let f(u) = -u**2 + 4. Let l be f(-4). Suppose 4*k = 247 - 95. Let t = k - l. What is the highest common factor of t and 20?
10
Suppose -3*b + 429 = -3084 + 552. What is the highest common factor of 28 and b?
7
Let x(p) = -69*p + 1923. Let z be x(23). Calculate the highest common divisor of z and 231.
21
Suppose 3*f + 12*f = -2250. Let p = f + 367. Calculate the highest common divisor of 7 and p.
7
Suppose 0 = -8*n + 5*n + 36. Let k be 12/72 + 406/n + 0. Let s = -31 + k. What is the highest common divisor of s and 3?
3
Suppose 0*c - 5*k + 42 = c, -2*k = 2*c - 68. Let m be 1*20*(-24)/c. Let f be -2*20/m*3. Calculate the greatest common factor of 12 and f.
4
Let f(o) = -o**2 + 35*o - 392. Let v be f(21). Let p = -4 + 6. Let d be (p/7)/((-7)/v). Calculate the highest common factor of 28 and d.
4
Let u = 158 - 161. Let n be (-7620)/(-14) - (u + 115/35). What is the highest common factor of n and 96?
32
Let h(p) = 2*p**3 + 13*p**2 - p + 13. Let m be h(-6). What is the greatest common factor of m and 90?
5
Let z be -7*9/6*-8. Suppose -4*j = 4*a - z, -4*a + 2 = -3*a. Let h = 143 - -66. Calculate the highest common factor of h and j.
19
Let u(t) = t + 178. Let d be u(33). Let z = d + -81. Calculate the highest common divisor of z and 156.
26
Let h = 7767 - 7591. Calculate the highest common factor of 296 and h.
8
Suppose 170 + 220 = 13*x. What is the greatest common factor of x and 2150?
10
Suppose 168*j = 165*j - 4*n + 76, -3*j + 13 = -5*n. Calculate the greatest common divisor of j and 20.
4
Suppose 0 = 6*y - 4*y + 8. Let q be (-6)/y*66/(-9)*-1. Suppose x = q*x - 1100. What is the greatest common divisor of x and 44?
22
Let a = 3358 - 1198. Calculate the highest common factor of a and 45.
45
Let v(a) = -216*a - 803. Let n be v(-4). What is the highest common divisor of 21167 and n?
61
Let t = 49416 + -34474. What is the highest common divisor of 62 and t?
62
Let o(a) = a**2 + 3*a - 28. Let n be o(7). Let m = -1431 + 1445. What is the greatest common divisor of n and m?
14
Let h = 468 - 698. Let b be (-14858)/h - 3/5. What is the highest common divisor of b and 8?
8
Suppose 3*t + 70 = 5*t - 2*g, t = -5*g + 17. Suppose 5*s - 729 = 431. Calculate the highest common factor of t and s.
8
Let z = 30111 + -30030. Calculate the greatest common divisor of 2061 and z.
9
Suppose 3*t + 70 = -3*h + 121, -4*t + 5*h = -23. What is the greatest common factor of 786 and t?
6
Suppose 9 = s - 4*q, -78*s + 77*s + 5*q + 4 = 0. What is the highest common divisor of s and 12209?
29
Suppose 77*x - 764 = -114*x. Let w = 186 + -128. Let l = w - x. Calculate the highest common factor of 18 and l.
18
Let d(f) = -133*f**3 - 2*f**2 - f + 2. Let l be d(1). Let q be -271 - -3 - (-3 + 1). Let c = l - q. Calculate the highest common divisor of c and 22.
22
Let h(y) = -2*y**3 + 3*y**2 + 4*y + 3. Suppose -3*x + 4 = 5*a - 10*a, x = a. Let z be h(a). Calculate the greatest common factor of z and 299.
23
Let f = -82 - -298. Suppose 0 = 219*g - f*g - 483. Calculate the highest common divisor of 7 and g.
7
Let v be -6 - (96/(-64))/(3/7948). What is the highest common factor of 16 and v?
16
Let u(g) be the second derivative of 5*g**3/3 + 611*g**2/2 + 392*g. Let c be u(-60). Let d be -2 + 15*1 + -2. What is the greatest common divisor of d and c?
11
Let d be 106355/105 + (-10)/(-105). Suppose 15*z - d = -248. Let l be (2 - -14*6) + -1. Calculate the greatest common divisor of z and l.
17
Let z = 138 - 134. Suppose -z*o + 3 + 49 = 0. Let n be 52/(-1)*(-27)/12. What is the highest common divisor of o and n?
13
Let q(b) = -3*b**3 + 2*b**2 - 17*b - 61. Let x be q(-3). Calculate the highest common divisor of x and 7.
1
Let x = -3858 - -11408. What is the greatest common divisor of 150 and x?
50
Let q(h) = 35*h + 128. Let b be q(8). Let x = b + -406. Let u(k) = -4*k. Let v be u(-4). What is the highest common factor of v and x?
2
Let n be 16/24 - (-40)/10*(-46)/(-12). Calculate the highest common divisor of n and 428.
4
Suppose -g - 33 = -5*u, g - 4 = -g. Suppose -u*c = 6*c - 39. Suppose 0 = -2*q - 2*q + 132. Calculate the greatest common divisor of q and c.
3
Let u(k) = -k**2 + 45*k - 268. Let v be u(7). Let i be (0 + 4/v)/((-28)/3626). Calculate the greatest common divisor of i and 37.
37
Suppose 3*l - 69 = -3*w, -w + 10*l = 15*l - 19. What is the highest common factor of w and 354?
6
Let h = 15750 + -14823. Calculate the highest common factor of h and 72.
9
Let g be (0 - (-8)/28) + (12240/(-14))/(-20). What is the greatest common factor of g and 3773?
11
Suppose 0 = -3*c + 5*l + 1787, 3*l + 175 = 199. Calculate the greatest common divisor of c and 3219.
87
Let s(v) = v**3 + 5*v**2 + 16*v + 154. Let c be s(-6). Calculate the greatest common factor of c and 473.
11
Suppose 7*x - 840 = x. Suppose 5*z = 4*q + 471 + x, 0 = -3*z + 5*q + 377. What is the highest common factor of z and 34?
17
Let f = -42 + 75. Suppose 3*i = -397 + 130. Let q = i - -100. Calculate the greatest common divisor of f and q.
11
Suppose 0 = 81*y - 78*y - 96. Suppose -17*h + y*h = 810. Calculate the highest common divisor of 864 and h.
54
Suppose 8*a = -61*a + 180918. What is the highest common factor of 19 and a?
19
Let v(w) = 24449*w**3 - 3*w**2 + 137*w - 136. Let a be v(1). What is the greatest common divisor of 87 and a?
87
Suppose -5*x + 500 + 3655 = 0. Suppose 0 = 3*y + 3*m - 489, -2*y = -7*y - m + x. Let j = y + -68. Calculate the highest common divisor of 11 and j.
11
Suppose -180 = -2*z - 3*x, -475*z + 480*z - 542 = 4*x. What is the greatest common divisor of 6154 and z?
34
Suppose -56*m - 2767 = -3215. Suppose -i + 16 = i. What is the greatest common factor of m and i?
8
Suppose -1542 = 36*n - 3558. Suppose -554 - 6 = -5*d. What is the greatest common factor of n and d?
56
Suppose 2*f = -61 + 161. Let y(g) = -22*g**2 - 595*g + 83. Let n be y(-27). Calculate the greatest common divisor of f and n.
10
Suppose r + 5*n = -2*r + 60, -3*r + 5*n + 60 = 0. Suppose -r*i + 2808 = -14*i. Let s = -180 + i. Calculate the greatest common factor of s and 32.
32
Suppose 126*p = 112*p + 319368. Calculate the highest common factor of p and 12.
12
Suppose 0 = 2*s - 6*s + 196. Suppose 32*m = 24*m + 64. Suppose -m*x - 179 + 2139 = 0. Calculate the greatest common divisor of s and x.
49
Let x(b) = -b**3 + 4*b**2 + 44*b - 41. Let m be x(12). Let g = m - -722. Calculate the greatest common factor of g and 171.
57
Suppose 3*h = u - 3*u, -h = -2*u + 16. Suppose 4*t = -u + 26. Suppose 3*q - 831 = t*n, -q - 2*n - 822 = -4*q. Calculate the highest common factor of q and 16.
16
Let c(k) = k + 13 - 9*k - 5*k - 2*k**2 - 17*k. Let w be c(-14). Suppose -9*h = -31 - w. Calculate the greatest common factor of h and 2.
2
Let c = -87160 - -87191. Let p = -3 - -4. Calculate the highest common divisor of c and p.
1
Let j(b) = 5*b**2 + 35*b - 11. Let s be j(-9). What is the highest common factor of 1027 and s?
79
Suppose 5*h = 15, 3*c + h - 48 = -18. Suppose c*a - 882 = 3*a. Suppose 3*r + 5*f = 2*r + 34, a = 5*r + 2*f. Calculate the highest common factor of r and 261.
29
Suppose 91*q - 80*q = 11682. What is the greatest common factor of q and 18?
18
Suppose -i + q + 9 = 2*q, 5*q = -i + 29. Suppose -i*r + 4*z + 42 = -30, 3*z + 92 = 5*r. Calculate the greatest common divisor of 38 and r.
19
Let j be 101*(-1)/(-2)*6. Let s = j - 114. Calculate the highest common divisor of s a | {
"pile_set_name": "DM Mathematics"
} |
t + 22 = -a. Let c(r) = 105*r + 11. Let l(u) = a*c(u) - 11*o(u). Let k(q) = 3*q. Determine k(l(g)).
63*g
Let u(z) = 6*z - 270. Let d(g) = -5*g**2. What is d(u(a))?
-180*a**2 + 16200*a - 364500
Let o(h) = -7*h. Let t be 3 - (-5 - -2) - 1. Let d(u) = -9*u + 17*u - t*u - 6*u. Calculate o(d(w)).
21*w
Let l(o) = -10*o. Let q(d) = -6*d + 47128. Determine l(q(g)).
60*g - 471280
Let a(m) = 94*m. Let t(h) = -1597*h. What is t(a(b))?
-150118*b
Let v be 1 - (0/4 + -178). Let t(o) = v*o + 3 - 3 - 178*o. Let g(c) = 2*c**2. Calculate t(g(a)).
2*a**2
Let c(h) = 2*h + 3*h + 3*h - 7*h + 0*h. Let d(q) = -17*q + q - 14*q. Give d(c(t)).
-30*t
Let f(o) be the second derivative of 3*o**3/2 + 3*o**2 - 28*o + 3. Let g(k) = -2*k**2. Calculate g(f(s)).
-162*s**2 - 216*s - 72
Let o(b) = 11703*b. Let d(i) = -96*i - 2. Give o(d(j)).
-1123488*j - 23406
Let r(f) = -6*f - 2. Let k(j) = 159*j + 14 - 14 - 155*j. Determine r(k(q)).
-24*q - 2
Let b(p) = -471*p - 8*p**2 - 470*p + 941*p. Let m(d) = 9*d. Give m(b(l)).
-72*l**2
Let o(s) = 2*s - 4*s - 2*s. Let l(b) = b**2 + 2*b - 4. Let t(f) = 7*f**2 + 11*f - 22. Let y(w) = 11*l(w) - 2*t(w). Calculate o(y(z)).
12*z**2
Let k(p) = -2*p**2. Let b(t) be the third derivative of 7*t**5/20 + 5*t**4/24 + 14*t**2 + 4*t. What is b(k(m))?
84*m**4 - 10*m**2
Let t(b) = b. Let l(g) be the third derivative of 3*g**4/4 - 49*g**2. Determine t(l(w)).
18*w
Let a(i) = -2*i**2. Let u(z) = -524*z**2 + 2*z - 90. What is u(a(n))?
-2096*n**4 - 4*n**2 - 90
Let p(l) = -18*l. Let m(f) be the second derivative of 3*f**4/4 + 2*f - 2. Determine p(m(x)).
-162*x**2
Let i(o) be the first derivative of 0*o + 10 + 0*o**2 + 2/3*o**3. Let a(l) = -35*l**2. Calculate a(i(y)).
-140*y**4
Let j(z) = -5*z**2. Let g = -47 - -47. Let n(r) = -171 + 171 + 2*r + g*r. What is n(j(f))?
-10*f**2
Let u(v) = -74*v**2. Let j(w) = -w - 658. Calculate j(u(a)).
74*a**2 - 658
Let c(d) = -6983*d + 3. Let q(w) = 2*w. Determine c(q(x)).
-13966*x + 3
Let v(p) = -15*p + 1. Let i be (-16 - (0 - 1))*2/(-6). Let h(k) = -k + 0*k - 2*k + i*k. Determine h(v(d)).
-30*d + 2
Let f(l) = 11*l - 2. Let p(q) be the first derivative of -q - 17. Let j(u) = f(u) - 2*p(u). Let k(o) = 2*o. Calculate k(j(g)).
22*g
Let u(r) = 2*r**2 + r - 1. Let t be u(1). Let f(p) = 2 - 2*p - t. Let l(i) = 7*i + 15. Let y(k) = -14*k - 27. Let d(m) = -9*l(m) - 5*y(m). Determine f(d(x)).
-14*x
Let s(y) be the third derivative of -y**5/60 + 82*y**2. Suppose -k + 36 = 2*k. Let l(n) = -k*n - 14*n - 21*n + 13*n. Calculate s(l(t)).
-1156*t**2
Let d(t) = -2*t**2. Let g(w) = -19130*w. Give d(g(b)).
-731913800*b**2
Let k(s) = s + 1. Let l(f) = -3*f - 2. Suppose 3*h - 12 = -0*h. Let n(d) = h*k(d) + 2*l(d). Let w(i) = -17*i**2. Determine w(n(g)).
-68*g**2
Let n(t) = -2*t - 3*t - 4*t - 2*t. Let p(x) be the third derivative of x**4/12 - 3*x**2 + 94. Give n(p(v)).
-22*v
Let j(m) be the third derivative of 0*m**3 + 2*m**2 - 1/6*m**4 + 0*m + 0. Let f(u) = -5*u - 149 + 149. What is j(f(p))?
20*p
Let c(z) be the first derivative of -109*z**3 - 66. Let u(w) = w. What is u(c(r))?
-327*r**2
Let t(h) = 727*h + 2. Let v(z) = 42*z**2. Give v(t(d)).
22198218*d**2 + 122136*d + 168
Let g(j) = -5*j**2 + 3*j + 3. Let q(z) = 11*z**2 - 7*z - 7. Suppose p = -0*p + 3. Let n(t) = p*q(t) + 7*g(t). Let u(s) = -25*s. Calculate n(u(d)).
-1250*d**2
Let r(y) be the first derivative of 4*y**2 + 245. Let k(m) = m - 2. Determine r(k(b)).
8*b - 16
Let g(l) = -4*l**2. Let h(f) = 277*f. Determine h(g(o)).
-1108*o**2
Let v(o) = -21*o**2. Let z(x) = 26*x**2 + 39*x + 39. Let k(a) = -a**2 - a - 1. Let d(w) = -39*k(w) - z(w). Calculate d(v(b)).
5733*b**4
Let t(g) be the second derivative of g**5/120 - 4*g**3/3 + 11*g. Let z(c) be the second derivative of t(c). Let r(i) = 19*i. Calculate r(z(h)).
19*h
Let n(z) = 2*z. Let y = -14 - -16. Let f(v) = -6*v + 2*v - y*v. Give n(f(a)).
-12*a
Let w(a) = -2*a**2. Let r(i) be the first derivative of -50*i**3/3 + i**2 - 50. Calculate r(w(b)).
-200*b**4 - 4*b**2
Let q(y) be the third derivative of -1/10*y**5 + 0*y + 0*y**4 + 0*y**3 + 0 + 10*y**2. Let v(l) = -2*l. Determine v(q(s)).
12*s**2
Let h(r) = -152931*r**2 + r. Let a(z) = -3*z**2. Calculate h(a(t)).
-1376379*t**4 - 3*t**2
Let s(w) = 8*w**2. Let i(d) = 1540*d. Give s(i(g)).
18972800*g**2
Let n(t) = 133*t**2 + t - 4. Let m(x) = 5*x. What is m(n(h))?
665*h**2 + 5*h - 20
Let x(i) be the first derivative of i**3 - 1. Let d(o) be the second derivative of -1/6*o**3 + 0*o**2 - 15*o + 0. Calculate d(x(g)).
-3*g**2
Let x(m) = m**2 + m + 1. Let q(f) = 12*f**2 + 9*f + 9. Let t(n) = 5*q(n) - 45*x(n). Let o(z) be the second derivative of z**3/3 - 9*z. Calculate t(o(g)).
60*g**2
Let m(o) = 11*o. Let p(q) = 6*q + 6 + 4*q**2 - q**2 - 2*q**2 - 3*q**2. Let c(y) = -y - 1. Suppose 3 = 2*w + 1. Let x(z) = w*p(z) + 6*c(z). Determine m(x(g)).
-22*g**2
Let r(u) = -182*u**2. Let f(k) = 14*k - 4. What is r(f(c))?
-35672*c**2 + 20384*c - 2912
Let y(s) be the second derivative of -s**4/6 - 69*s. Let c(z) = 104*z. Give c(y(p)).
-208*p**2
Let h(n) = n. Let s = -32 - -26. Let w be (-12)/(-2 - s) - -5. Let c(l) = -w*l**2 + 8*l**2 + 2*l**2. Determine h(c(p)).
8*p**2
Let l(i) = 41310*i - 41310*i + 2*i**2. Let v(o) = 145*o. What is v(l(z))?
290*z**2
Let d(p) = -3393*p. Let r(u) = 3*u. Give r(d(a)).
-10179*a
Let f(n) = -48*n - 1. Let v(r) be the third derivative of -r**7/5040 + 13*r**5/20 + r**2 + r. Let g(u) be the third derivative of v(u). Determine f(g(d)).
48*d - 1
Let q(m) = -2*m**2. Let u(x) be the first derivative of -13*x**4/12 - 9*x - 6. Let j(p) be the first derivative of u(p). Determine j(q(n)).
-52*n**4
Let s(t) = 4*t + 20. Let w(c) = 4*c + 42. Let z(p) = 5*s(p) - 3*w(p). Let x(d) = -d**2. Determine x(z(m)).
-64*m**2 + 416*m - 676
Let d(b) = -30*b. Let r(j) = 26*j**2. Calculate d(r(v)).
-780*v**2
Let p(v) be the third derivative of -v**4/24 - v**3 - 12*v**2. Let t(g) = -4*g - g + 0*g + 3*g. Calculate t(p(u)).
2*u + 12
Let t(r) = -91*r**2 + 166*r**2 - 84*r**2. Let n(x) = -17*x**2 + 13*x. Let z(u) = -4*u**2 + 3*u. Let l(q) = 6*n(q) - 26*z(q). Determine l(t(b)).
162*b**4
Let u(r) = 18*r. Let x(q) = 9*q**2 + 5*q - 1. Give u(x(m)).
162*m**2 + 90*m - 18
Let r(p) = 4*p**2 + 3*p - 3. Let b(w) = w**2 + w - 1. Let m = 31 + -37. Let k(z) = m*b(z) + 2*r(z). Let s(c) = 2*c. What is k(s(t))?
8*t**2
Let b(f) = -f. Let x(z) = -2*z - 38984. Calculate b(x(q)).
2*q + 38984
Let l(t) = 6*t. Let i(x) = -x**2 - 5*x. Let d(y) = y**2 + 3*y. Let w(j) = -5*d(j) - 3*i(j). Determine l(w(u)).
-12*u**2
Let y(g) = -13*g**2 - 2. Let p(c) = 325*c**2. Calculate y(p(l)).
-1373125*l**4 - 2
Let i(y) = -2*y**2. Let x(p) = 9930*p. Calculate x(i(l)).
-19860*l**2
Let q = 13 - 15. Let x be (-22)/(-4) - q/(-4). Let o(z) = -2*z**2 + x*z**2 - 4*z**2. Let i(r) = 7*r. What is i(o(u))?
-7*u**2
Let t(p) = -p**3 - 21*p**2 + 73*p + 24. Let u be t(-24). Let v(l) be the second derivative of -1/2*l**3 + 0 + u*l**2 - l. Let f(h) = -2*h. Give v(f(y)).
6*y
Let i be ((-57)/(-15) - -1) + (-1)/(-5). Let x(r) = i*r + 2*r - 5*r. Let a(b) = 31*b**2. Determine x(a(y)).
62*y**2
Let b(r) = 4*r. Let w(n) = -8*n**2 + 10. Let g = 18 - 19. Let m(t) = t**2 - 1. Let o(s) = g*w(s) - 10*m(s). Calculate b(o(x)).
-8*x**2
Let a(i) be the third derivative of i**4/12 - 2*i**2 + 1. Let m(c) = -30*c - 2. Let d(u) = -u + 1. Let o(x) = 4*d(x) + 2*m(x). Give o(a(w)).
-128*w
Let y(g) = 2*g**2 - 3. Let d(x) be the first derivative of 5*x**2/2 - 153. Give d(y(m)).
10*m**2 - 15
Let g(w) = w. Suppose 3*q - 2*i - 4 = 0, -q + 0*q + 4 = -2*i. Let d(h) = h**2 + 22. Let u be d(q). Let f(p) = u - 22 - p. What is g(f(m))?
-m
Let l(v) = -v. Let x(b) be the first derivative of -16*b**3/3 + 157. Determine x(l(i)).
-16*i**2
Let j(o) = -2*o**2. Let t(n) = n**2. Let r(c) = 2*j(c) + 5*t(c). Let l(u) be the second derivative of 5*u**4/12 + u + 143. Determine l(r(a)).
5*a**4
Let i(g) = g + 8. Let j(x) = -216*x. What is j(i(a))?
-216*a - 1728
Let n(r) = 893*r. Let k(l) = 74*l. Let g(a) = 47*k(a) - 4*n(a). Let d(x) = -3*x**2. Determine d(g(v)).
-26508*v**2
Let m(o) = -o - 2. Let z(c) = -c - 1. Let y(p) = -2*m(p) + 4*z(p). Let k(d) be the second derivative of -5*d**3/3 + 2*d**2 + 457*d. Determine y(k(v)).
20*v - 8
Let h(a) = 552*a**2. Let w(i) = -357*i**2. Give w(h(m)).
-108779328*m**4
Let l(h) = -7 + 18 - h - 11. L | {
"pile_set_name": "DM Mathematics"
} |
122219
What is -4 divided by 2766902?
-2/1383451
Calculate 1155084 divided by -305.
-1155084/305
What is -7122549 divided by 6?
-2374183/2
Divide -43208 by -35.
43208/35
-5 divided by -31384715
1/6276943
What is 8660808 divided by -4330404?
-2
What is 216140946 divided by -72046982?
-3
-182388 divided by 2403
-60796/801
-79148297 divided by 2
-79148297/2
Calculate -6697 divided by -69226.
6697/69226
Divide -543996966 by 23652042.
-23
Calculate 78629250 divided by -66075.
-1190
Calculate 402721146 divided by 27.
14915598
Calculate 0 divided by 283281187.
0
Divide 21067658 by 196894.
107
14825456 divided by 200344
74
267901206 divided by -18554
-14439
Divide -7 by 4475775.
-7/4475775
3108960 divided by -68
-45720
What is -159862275 divided by 6394491?
-25
166064 divided by -82
-83032/41
-6993341 divided by 1
-6993341
Divide 1557144 by -2136.
-729
What is -3665727730 divided by 5?
-733145546
-1246 divided by -2388
623/1194
Calculate -1 divided by 3342099.
-1/3342099
Divide -4 by 16762598.
-2/8381299
Divide 1848220 by 5420.
341
What is -2561065 divided by -533?
4805
Calculate -481683278 divided by 937127.
-514
474025980 divided by 79004330
6
Divide -4 by 26857429.
-4/26857429
-3379875730 divided by -2
1689937865
Calculate 32827600 divided by -767.
-42800
Divide -5677 by 295.
-5677/295
Calculate 57800930 divided by -12067.
-4790
What is 0 divided by -93854207?
0
Divide 102224471 by 967.
105713
Divide -2580288 by 2848.
-906
512 divided by -532606
-256/266303
-522696636 divided by -5279764
99
What is -24937017 divided by -417?
59801
Calculate 50 divided by 8791145.
10/1758229
25 divided by -7231
-25/7231
Calculate -24940442 divided by -1.
24940442
Divide 6678280308 by -6.
-1113046718
Calculate 47703964 divided by -154.
-309766
189848840 divided by -37969768
-5
What is -36 divided by 49730?
-18/24865
-2417489 divided by -104
2417489/104
Calculate -7034754 divided by -6.
1172459
Calculate 127269062 divided by 63634531.
2
What is 129291582 divided by -7?
-18470226
What is -244533905 divided by 77?
-3175765
Divide -4046728 by 1778.
-2276
What is 44370039 divided by 10689?
4151
What is -67 divided by 160108?
-67/160108
Divide -15590278 by 3.
-15590278/3
-5 divided by 24415883
-5/24415883
What is -13 divided by 13095451?
-13/13095451
Divide 144932718 by 20704674.
7
-26044587 divided by 9
-2893843
Calculate 12110 divided by 173.
70
Calculate 52842 divided by -1033.
-52842/1033
Divide -640403562 by 3.
-213467854
What is 7071120 divided by 37?
7071120/37
What is 1443832 divided by -4?
-360958
9496252 divided by -20
-2374063/5
-82376385 divided by 35
-2353611
-26 divided by 226233
-26/226233
Calculate -514346322 divided by 238.
-2161119
What is -1582569706 divided by 23554?
-67189
Calculate 187282840 divided by -694.
-269860
-24259 divided by 1836
-1427/108
What is -1501 divided by -98207?
1501/98207
What is 251594 divided by 417?
251594/417
-4 divided by 74653498
-2/37326749
65849280 divided by 3
21949760
Divide 99610308 by -5817.
-17124
-33165330 divided by -5
6633066
Calculate -92377604 divided by -179.
516076
Divide -435930632 by -217965316.
2
-3004 divided by 32694
-1502/16347
Divide 194326960 by 74.
2626040
Calculate -111060 divided by -75.
7404/5
Calculate 140191 divided by -3.
-140191/3
What is 366908022 divided by -702?
-522661
What is 92120756 divided by -221?
-416836
Calculate -16551954 divided by 533934.
-31
Divide -126473646 by 21078941.
-6
What is 2691836 divided by 138?
1345918/69
What is 822210752 divided by 18686608?
44
-16 divided by -492416
1/30776
What is -12368 divided by 4795?
-12368/4795
Calculate -5271863 divided by -2.
5271863/2
Divide -1140 by -7068.
5/31
What is 334330 divided by -5?
-66866
What is 178333035 divided by -5?
-35666607
Divide -30006918 by -5001153.
6
3624770 divided by -1
-3624770
Divide 22770080 by 711565.
32
What is 10624860 divided by -5?
-2124972
-4457 divided by -1204
4457/1204
Divide 10950210 by -6.
-1825035
Calculate 612002 divided by 2.
306001
Calculate 311008815 divided by 100035.
3109
14179694 divided by -2
-7089847
What is -32617545 divided by 1?
-32617545
42747571 divided by -26
-42747571/26
Calculate 51307596 divided by -13837.
-3708
Divide -11377506 by -42.
270893
Divide 6 by -177307.
-6/177307
Divide -658 by 239170.
-329/119585
What is -160 divided by 74305?
-32/14861
Divide 1121456 by 1054.
1064
11 divided by 755029
1/68639
What is -9180 divided by 12885?
-612/859
What is 26252850 divided by 525057?
50
Calculate 81803460 divided by -15.
-5453564
Divide -58548714 by 6.
-9758119
Divide 3055386 by -82578.
-37
What is -15296029 divided by -2?
15296029/2
-129427030 divided by -64713515
2
What is -11061354 divided by 36627?
-302
Divide 261 by -236083.
-261/236083
Divide -8050 by -2306.
4025/1153
Divide 185 by 2865142.
185/2865142
Divide -313216750 by 1252867.
-250
Calculate -55001110 divided by 948295.
-58
What is -6166318 divided by -139?
44362
Calculate 131635000 divided by 4375.
30088
-15924 divided by -1658
7962/829
989098900 divided by 58910
16790
What is 7380156 divided by 28?
263577
Calculate -1733129 divided by -34.
1733129/34
Divide 39964518 by 106857.
374
Divide -12251560 by 18017.
-680
Divide 554569625 by 6.
554569625/6
12522109 divided by -1
-12522109
Divide -10443 by -70.
10443/70
-142750604 divided by 2
-71375302
What is -23791172 divided by 181612?
-131
Divide 72975 by -21693.
-3475/1033
Divide 88862 by -661.
-88862/661
-6 divided by 29713514
-3/14856757
Divide 1819106 by 18.
909553/9
What is -4684792 divided by 392?
-11951
87449180 divided by -5
-17489836
Divide 89685333 by -1.
-89685333
4578141 divided by -1526047
-3
Calculate 51225845 divided by 54787.
935
Calculate 48994860 divided by 3.
16331620
-489101 divided by -1
489101
Divide 766013632 by 218.
3513824
55163036 divided by -260203
-212
25445005 divided by 17
1496765
-29789322 divided by -2
14894661
What is 120091965 divided by -8006131?
-15
Divide -3 by -212172.
1/70724
What is -1 divided by 8341520?
-1/8341520
2501211 divided by -833737
-3
Calculate -6268776 divided by -2089592.
3
128680125 divided by 175
735315
What is 11575 divided by -23782?
-11575/23782
2389679 divided by 21
2389679/21
Calculate 1219 divided by 54694.
53/2378
Calculate -52470 divided by -1642.
26235/821
Calculate 870386 divided by 369.
870386/369
What is 2046276 divided by 27?
75788
What is 3740000 divided by 680?
5500
Divide -3058006 by -6.
1529003/3
What is 123257 divided by 882?
123257/882
Divide -38073745 by 7614749.
-5
-44793045 divided by -995401
45
What is 31422362 divided by 1?
31422362
Calculate -3087 divided by -49340.
3087/49340
211 divided by 2331893
211/2331893
Calculate 2129204 divided by -223.
-9548
3 divided by 417290
3/417290
Calculate -3 divided by -150348219.
1/50116073
114160112 divided by 28540028
4
Divide 671228 by -19.
-671228/19
What is 36 divided by -5328766?
-18/2664383
What is 19736898 divided by -2346?
-8413
Divide -457681 by -151.
3031
Calculate -143724178 divided by -26.
5527853
-19634187 divided by 70
-19634187/70
16401172 divided by -4
-4100293
Divide -38658944 by 129728.
-298
What is -9 divided by 137803448?
-9/137803448
What is -30280425 divided by 2055?
-14735
Divide -724319730 by -40239985.
18
38184858 divided by -34494
-1107
7216776 divided by -14
-515484
Divide 87660315 by -5.
-17532063
What is -80690352 divided by 40345176?
-2
112763 divided by -301
-16109/43
What is 35126782 divided by -62?
-566561
What is 10002615 divided by 204135?
49
Divide 454115968 by -4.
-113528992
Divide -201772039 by -817.
246967
What is -769660572 divided by 6?
-128276762
What is -63 divided by 383870?
-63/383870
What is -956135 divided by -22?
956135/22
-53874530 divided by 2
-26937265
Divide 105285039 by -3.
-35095013
Calculate 83723193 divided by -1949.
-42957
304195120 divided by -80
-3802439
Calculate 359660210 divided by -7.
-51380030
Calculate 8 divided by 1047080.
1/130885
-16713 divided by 314
-16713/314
Divide -6222788 by 10406.
-598
Divide 4 by 5631243.
4/5631243
Calculate 15665 divided by 605.
3133/121
Calculate -2 divided by -15416202.
1/7708101
What is 57032 divided by -4537?
-57032/4537
What is 740833141 divided by -18069101?
-41
Divide 0 by 14489072.
0
What is 206 divided by 1662?
103/831
Calculate 1 divided by -316888393.
-1/3168 | {
"pile_set_name": "DM Mathematics"
} |
+ 2)*((-723 + 2248 + 2845)*(0*l**2 + 3*l**2 - 4*l**2) + 0*l**2 + 0*l**2 - l**2) to the form i*l + d + s*l**3 + u*l**2 and give s.
4371
Rearrange 2312*x + 2629 + 2621 + 2625 - 7875 to the form z + y*x and give y.
2312
Express (1 + 4 + 1 + (1 + 1 - 3)*(1 + 2 - 5) - 1 + 2 + 0)*(-183*x + 23*x + 372*x + 1483*x + 289*x) as a*x + n and give a.
17856
Express 417*z**3 + 430*z**3 - z**4 - 854*z**3 - z**2 - 13 in the form t*z**2 + l*z**3 + h + u*z + d*z**4 and give h.
-13
Express 8 - 17*d - 3376*d**2 + 3378*d**2 - 609*d**4 + 613*d**4 in the form g*d**3 + c + v*d**2 + p*d + m*d**4 and give c.
8
Express (-26*j**2 + 992*j - 992*j)*(1 + 1 + 0 + (4 - 3 + 1)*(-5 + 3 + 1) - 3 + 1 + 0) in the form u*j**2 + x + q*j and give u.
52
Rearrange (w - 2*w + 0*w)*(-15*w**3 - 31 + 31) + 2*w**4 - 608*w + 608*w to l*w**3 + q + p*w**2 + k*w**4 + z*w and give z.
0
Express -2*u - 2*u**3 - 75*u**4 - 35*u**4 - 55*u**2 + 4*u + 56*u**2 as m*u + f*u**3 + h*u**2 + q + z*u**4 and give m.
2
Express 9 + 6*r**4 - r**2 - 87*r + 3 + 47 - 59 in the form n*r**2 + o*r**4 + s + u*r**3 + t*r and give t.
-87
Express (-2*j - j + 4*j)*(-j + 4*j - 2*j) - 776 - 114 + 894 - 2*j - 647*j**2 as a*j + i + k*j**2 and give a.
-2
Express 1849 - 3724 + 1854 + s**3 - 32*s + 171*s in the form m + w*s**2 + u*s + f*s**3 and give f.
1
Express 2 - 16*u**2 - 13*u**3 + 25*u**3 - 15*u**2 + 11*u**3 as g + v*u + x*u**3 + l*u**2 and give l.
-31
Express -13*j**2 + 47426423*j + 73 - 47426423*j in the form a*j + c*j**2 + v and give c.
-13
Express -4896*x - 51*x**2 + 26*x**2 + 23*x**2 - 2126*x in the form g*x**2 + p + q*x and give q.
-7022
Rearrange -o**3 + 1448*o + 2*o**4 - 4 - 13*o**2 - 2885*o + 1442*o + 2 to p*o**2 + r*o + s*o**4 + w + n*o**3 and give r.
5
Express (45*y**3 - 472*y**3 + 169*y**3)*(8*y + 1 - 1) as z*y**4 + h*y**3 + w*y**2 + p*y + f and give z.
-2064
Express (-3*w**2 - 7*w**2 + 7*w**2)*(127 - 278 - 363) in the form k*w + g*w**2 + a and give g.
1542
Express -17144*l - 4*l**2 + 1 + 17211*l + l**2 as j + f*l + q*l**2 and give j.
1
Express 5*s**2 - 401 + s**2 - 5*s**2 - 2*s**2 in the form k*s**2 + f + j*s and give f.
-401
Express 5 - 379*w + 6*w**2 - 2 - 3*w**2 + 196*w as s*w**2 + z*w + j and give j.
3
Express -37*a - 1512*a**2 + 35*a - 291 + 1513*a**2 in the form h*a + t + r*a**2 and give t.
-291
Express (0 + 23 + 62)*(-3 - 2*u + 3) + 5 + 13*u - 5 as l + d*u and give d.
-157
Express (j + 2*j - 17*j)*(-1 - 2 + 7)*(14*j + 7*j - 8*j) in the form y*j**2 + w + v*j and give y.
-728
Rearrange -2*w + 3225*w**3 + 3*w**2 + 2*w**4 + w**4 - 364 - 3226*w**3 - 2*w**4 to v*w + s*w**3 + x*w**4 + o + f*w**2 and give s.
-1
Rearrange 72*y - 20*y**3 + 3 - 2*y**4 - 68*y + 163*y**2 - 166*y**2 to x*y + m*y**4 + u + o*y**2 + b*y**3 and give b.
-20
Rearrange -2 - 720*q**2 - 2086*q**2 - 200472*q + 190*q**2 + 200470*q to y*q + p*q**2 + o and give o.
-2
Rearrange (-7324394 + 1083*k + 7324394)*(3*k - 2*k - 2*k) + 4 - k**2 - 1 - 2 to v*k**2 + l + b*k and give b.
0
Rearrange 755 + 42*d - 8*d - 1490 + 751 to i*d + u and give u.
16
Rearrange 3*o**3 - 46*o + 108*o**3 + 54*o - 2*o**2 - 8*o + 3 to the form g*o**2 + y + b*o**3 + z*o and give b.
111
Express 48 + 46 + 66*p + 54*p - 131 + 38 in the form a + x*p and give x.
120
Rearrange (3 - 3 + w)*(-569187 - 1388*w + 569185 + 6166*w) to the form l*w**2 + x*w + d and give d.
0
Express 52*s**3 - 23*s + 7035 - 21099 + 7035 + 7029 in the form x*s + l + w*s**2 + v*s**3 and give x.
-23
Express -6*w**4 - 6 - 33155*w**3 + 3*w**4 - 33255*w**3 + 66272*w**3 as b*w**2 + v*w**3 + z + k*w + r*w**4 and give v.
-138
Rearrange -3*l + 1005*l**3 - 16*l**4 - 1005*l**3 + (4*l**3 - 3*l**3 + l**3)*(0*l + 2*l + l) to the form o + s*l**4 + c*l**3 + x*l**2 + t*l and give o.
0
Express (-1083 - 405 - 897)*(18 + 11*l - 18)*(l - 3*l + 4*l) in the form z*l**2 + a + w*l and give z.
-52470
Rearrange -x + 18509*x**2 + 11988*x**2 - 597*x**2 - 3426*x**2 to the form g*x**2 + q + o*x and give g.
26474
Rearrange -1147 + 803*z**3 + 2307 - 1144 to the form h*z + o*z**3 + y + x*z**2 and give h.
0
Rearrange (0 + 2 - 3)*(124*w + 234*w - 446*w + (3 - 4 - 1)*(w - 5 + 5) - 36*w - 89 + 89) to the form p*w + n and give p.
126
Express 3*i**2 - 14*i**3 + 4*i**3 - 6*i**3 + (-2*i**2 - i**2 + i**2)*(5*i - 4*i - 4*i) - 2*i**3 + 7*i**3 - i**3 as r*i + a*i**3 + t*i**2 + z and give t.
3
Express (-340*j**2 - 966*j**2 - 22*j**2)*(4*j**2 - 6*j**2 + 7*j**2) in the form z*j**2 + x*j + y*j**3 + b*j**4 + f and give b.
-6640
Express 61*q**2 + 246 - 24*q**2 - 21*q**2 - 21*q**2 + q as x*q**2 + j*q + n and give x.
-5
Express -2 - 60*v + 22*v + 2*v**2 - 2*v**4 + 23*v + 29*v**3 + 4 - 28*v**3 in the form d*v**3 + h*v**4 + t*v**2 + g*v + u and give t.
2
Express -91*c**2 - 16*c**2 - 3*c**3 + 75*c**2 + 2 as q + b*c + v*c**3 + y*c**2 and give b.
0
Express (127*p + 34*p - 72*p)*(2 + 0 + 1)*(-5*p + 7 - 7) as c*p**2 + y + u*p and give c.
-1335
Rearrange (-1 - 4 + 1)*(6 - 6 + 2*l)*(-184 - 863 + 281) to the form h*l + m and give h.
6128
Express -66930 + 7559*r + 66930 as o*r + b and give o.
7559
Rearrange 14 - 1877*j + 1426*j**2 + 13 - 31 + 3 - j**3 + 1874*j - 2*j**4 to the form d*j**3 + l*j**2 + o*j + s*j**4 + q and give q.
-1
Express (-15 + 15 + 31*w)*(4*w - 2*w + 0*w) + (-w - 1 + 1)*(3*w - 4*w - w) + 105*w + 31 + 94*w + w**2 - 195*w in the form v*w**2 + p + t*w and give v.
65
Express (-5 - 9 + 3)*((4 + 0 - 3)*(8*w - 16*w + 7*w) + 4*w - w + w)*(2 - 2 - 19) in the form z + i*w and give i.
627
Rearrange 54*m**3 + 28*m + 54*m**3 - 8*m**2 - 3 - 105*m**3 - 28*m to y*m**2 + o*m + s*m**3 + x and give x.
-3
Express -132 + 2185 - 30648*q + 30650*q as f*q + y and give f.
2
Rearrange u**2 + 0*u**2 + 2*u**2 + (3*u + u - 3*u + (3 - 3 - 1)*(0*u - 3*u + u) + 38 - 9*u - 38)*(2 + 3 + 30*u - 3) to i*u**2 + v + j*u and give v.
0
Rearrange -3*m + 13*m**4 + 22*m**4 + 4*m**4 - 35*m**2 - m**3 + 0 + 36*m**2 + 1 to the form a*m**2 + q*m + d*m**4 + n + o*m**3 and give o.
-1
Rearrange (o + 5 - 5)*(0 - 3 + 1) + 242*o + 58*o + 384*o + 2 - 2 - 2*o + (0 + 0 + 2*o)*(-4 + 2 + 4) to w + u*o and give u.
684
Express ((2 - 2 - 2*d)*(-2*d - 4*d + 5*d) - 6*d**2 - 10*d**2 + 69*d - 50*d)*(-4 - 11 + 12) as k*d + h + j*d**2 and give j.
42
Express 79*c**3 + c - 2*c - 74*c**3 - 9 + 4*c in the form a*c + y*c**2 + n + b*c**3 and give y.
0
Rearrange (-u**2 + 0*u**2 + 0*u**2)*(-3*u**2 - u**2 + u**2) - 7150*u**4 + 28067*u - 28067*u to w*u**2 + x*u**3 + z + k*u + b*u**4 and give b.
-7147
Rearrange -2 + 2 + 22430858*n**2 - 22417209*n**2 to o*n**2 + c*n + f and give o.
13649
Rearrange -g**2 - 1924*g**3 - 21 + 2*g**2 - 47*g - 1924*g**3 + 3850*g**3 to the form z + y*g + c*g**2 + a*g**3 and give a.
2
Rearrange (-145 - 38 - 5 - 18)*(3*p - 3*p - 2*p)*(-2077*p + 2077*p - 69*p**2) to y*p**3 + c*p + n*p**2 + a and give y.
-28428
Rearrange -3714*x**4 + 246*x - 3*x**3 + x**3 + 3*x**2 + 3712*x**4 to the form d*x**2 + s*x**4 + h + u*x + z*x**3 and give s.
-2
Express (3 + 17*p - 3)*(-11*p**3 - 10*p**3 - 783804*p + 1 - p**2 + 783806*p) as q*p**2 + f*p**4 + z + w*p**3 + y*p and give f.
-357
Express -85*f**2 + 170*f - 210*f**2 - 167*f - 2 in the form x*f + h + k*f**2 and give x.
3
Rearrange -1621*b - 322*b - 1041*b - 229*b + 559*b to i + t*b and give t.
-2654
Express -4*z**2 + 3*z**2 - 652159*z + 652161*z - 3*z**3 - 5*z**4 + 7 + z**3 + 2*z**2 as q + i*z**3 + h*z**2 + r*z**4 + a*z and give r.
-5
Rearrange -102057 + 1758*n + 102057 to the form a*n + i and give a.
1758
Rearrange 1524364 - 1524364 + 2226*m to the form t*m + g and give t.
2226
Rearrange 1304*m - 234*m + 2307*m - 747*m + 1 to t*m + d and give t.
2630
Express (-3*b + 2*b - 3*b + (-3 - 2 - 1)*(30*b - 4*b + 6*b))*(5*b - 6*b + 5*b) in the form t*b + m*b**2 + j and give m.
-784
Express (-221*f + 1960 - 211 + 241*f - 12*f)*(4*f**3 - f**3 - f**3) as z*f**2 + w*f + l*f**4 + u*f**3 + p and give l.
16
Rearrange 235*x - 7*x**2 + 13*x**2 + 10*x to u*x + y + o*x**2 and give u.
245
Rearrange (1165*a + 82*a + 45*a + 767*a)*(-a + 5*a**2 - 11*a**2 + 2*a) to the form u*a**2 + t*a + y + f*a**3 and give f.
-12354
Express 372*h**2 + 1 - 1128*h**2 + 4*h + 377*h**2 - 11*h**3 + 376*h**2 as q + m*h + k*h**3 + t*h**2 and give t.
-3
Express ((1 + 0 - 2)*(-1 + 2 + 2) - 1 - 2 - 1)*(110*t - 4 - 263*t + 40*t) + 2*t + 3 - 3 in the form c*t + w and give c.
793
Express -85*v - 19*v**3 - 6*v**2 + 44*v**3 - 28* | {
"pile_set_name": "DM Mathematics"
} |
+ 6 - 2*w**4 - 3*w**2 - w**3 + 2*w**3 - 11 as c + u*w**3 + d*w + r*w**4 + s*w**2 and give u.
1
Express (-3*m**2 + m - m - 2 + 2 - 3*m**2 + (3 + m - 3)*(m - m - m))*(0*m + 16*m + 9*m) as b*m + s*m**3 + n + q*m**2 and give s.
-175
Rearrange -x + 5*x**2 - 3*x + 2 - 5*x**2 + 5*x**2 to c*x**2 + i*x + o and give o.
2
Express 0*q - 19*q**2 + 0*q + 97*q**2 + q in the form v*q**2 + p*q + y and give v.
78
Rearrange -7*x - x - 8 + 11*x to r + d*x and give d.
3
Express (2 + 2 - 11*t - t)*(-1 - 1 + 1)*(-2*t**2 + 5*t**2 - 4*t**2) in the form h + o*t + p*t**2 + a*t**3 and give a.
-12
Rearrange -32*t - 24*t**3 - 27*t + 57*t - t**2 + 2*t**2 to the form j*t + c*t**3 + x*t**2 + y and give j.
-2
Express ((-x - 5*x + 2*x)*(20 - 3*x - 20) + 4*x - x**2 - 4*x)*(2*x - 2*x**2 + 2 - 2) as m*x**2 + z*x**4 + b*x**3 + f*x + p and give z.
-22
Express ((-2 - 2 - 2)*(2 + 0 - 1) + 0 + 1 - 3)*(2*g + 2*g - 5*g) in the form r*g + d and give r.
8
Rearrange (-l + 4*l - 2*l)*(-2 + 3 - 2) + (4 - 3 - 4)*(l - l + 3*l) - 1 + 2*l + 1 to a*l + k and give a.
-8
Rearrange 2 - 29*i - 6 + 4 to w*i + y and give w.
-29
Rearrange (-1229*w - 1022*w + 1611*w)*(3*w - 3*w + w) to the form h + m*w + g*w**2 and give g.
-640
Rearrange -32*a + 32*a + 8*a**2 + (0*a + 0*a + a)*(-2*a - 6*a + 3*a) to q*a + g*a**2 + n and give g.
3
Rearrange (-2*n + 3*n + 0*n)*((2 - 2 + 2)*(-1 + 1 - 1) + 3 - 7 + 3) to the form z + i*n and give i.
-3
Express ((0 - 1 + 2)*(h + h + 0*h) + 19*h + 22 - 22)*(2*h - 3*h + 0*h) - 2*h**2 + 0*h + 0*h in the form m*h + a + y*h**2 and give a.
0
Express 398*b - 398*b - 22*b**2 in the form i*b**2 + z + c*b and give c.
0
Express (-1 + 0 - 2)*(4*c + 13*c - 4*c)*(-2*c + 3*c + c) as v*c + l*c**2 + q and give l.
-78
Express 5*i**3 - 3 + 12*i**3 - 15*i**3 + 8*i**2 + 0*i**4 - 2*i**4 in the form t*i**2 + g + l*i**3 + y*i**4 + r*i and give l.
2
Express (2*z - z - 7*z)*(15*z**2 + 7*z**2 + 13*z**2) in the form p*z**2 + n*z + y*z**3 + b and give y.
-210
Express 0*c + 3*c**4 - 2 + 8*c**2 - 7*c**2 - 2*c in the form d*c**2 + g + m*c**4 + b*c**3 + q*c and give m.
3
Express 129*i**3 - i**2 - 130*i**3 - 8*i**2 in the form h + m*i + j*i**3 + d*i**2 and give m.
0
Express (2 + 1 - 2)*(28*p + 11 - 11) in the form b*p + t and give b.
28
Rearrange -7*t**4 + 13*t**2 - 2*t**3 - 9*t**2 + 2*t - 5*t**2 to u*t + c + h*t**3 + o*t**2 + g*t**4 and give u.
2
Rearrange f - f**2 + 16*f**4 - 2 + 6*f**3 - 7*f**4 - 7*f**4 to the form g*f**3 + p + a*f**4 + m*f**2 + j*f and give p.
-2
Express (-3*o + 0*o + 2*o)*(-1 - 9*o + 6*o - 2*o)*(0 - 4 + 1) in the form a + g*o + n*o**2 and give g.
-3
Express 3*i + i - 4*i + 2 + 10*i**2 in the form n*i**2 + m + o*i and give n.
10
Rearrange 141 - 13*k**2 - 141 + (-k**2 - 4 + 4)*(-2 + 6 - 3) to the form a*k**2 + r + f*k and give f.
0
Express (-3 + 3 + 1)*(-2*l + 63 - 63) in the form p*l + c and give p.
-2
Express -5 - 5*w - 5 + 5*w + 2*w as i*w + d and give i.
2
Express (2*h + h - 4*h)*(2*h + 0*h - 4*h) + h**2 + h**2 - h**2 - 2*h**2 + 10*h**2 + 2*h**2 + h**2 + h**2 - 3*h**2 as w*h**2 + v*h + f and give w.
12
Express 44*g + 20*g - 41*g as b*g + c and give b.
23
Rearrange (6 - 3 - 1)*(-3*b**2 - 2*b**2 + 4*b**2)*(-b - b**2 + b) to r*b**3 + x*b**2 + k*b + s + d*b**4 and give d.
2
Rearrange (-5 + 0 + 3)*(303 - 604 + 312 - 13*j) to s*j + z and give z.
-22
Rearrange -4 - 14*f - 2*f + 4 to i*f + l and give i.
-16
Rearrange -4*i - 2*i + 5*i - i**3 + (-1 + 1 - 2)*(52*i + 7*i**3 - 52*i) to the form f*i**2 + u*i**3 + c*i + v and give c.
-1
Express -2*g + 10*g + 0*g as u*g + q and give u.
8
Express 2*d - 65 + 65 in the form f*d + q and give f.
2
Rearrange -2 - 22*h + 20*h + 1 + h**2 to the form v*h**2 + l + f*h and give v.
1
Rearrange 4*a + 4*a - 4*a + 7*a + 1 to y + g*a and give y.
1
Express 21*u**2 + 45 - 88 + 43 in the form i*u**2 + h + o*u and give i.
21
Express 2*y**2 - 2*y + 5*y - 10*y + 3*y in the form s + x*y + n*y**2 and give x.
-4
Express -p**3 - p**3 + p**3 + (-2 + 4 - 3)*(2*p**3 + p**3 - 2*p**3 + (p - 2*p + 2*p)*(-7 + 3*p**2 + 7)) as m*p**2 + h*p + g*p**3 + k and give g.
-5
Express (19*l + 8*l - 17*l)*(1 + 0 + 2) in the form i*l + p and give i.
30
Rearrange 3*i**2 + 8*i + 6 + 2*i**2 - 8 - 3*i**2 - i**3 to the form y*i**3 + b*i + m + p*i**2 and give p.
2
Express (-g + 4 - 4)*(5*g**3 - 3*g**3 + 0*g**3) + 0*g**4 + 6*g**4 - 9*g**4 in the form c*g**2 + t*g**4 + u*g**3 + y + j*g and give t.
-5
Express -3*s**2 - s**3 + 2*s**3 - 2*s + s**2 + 0*s**3 as l*s**2 + a*s**3 + u*s + m and give u.
-2
Rearrange (-1 + 1 + m**2)*(0*m + 2*m + 4 + 12) to n*m**2 + u*m**3 + g + a*m and give u.
2
Rearrange (3*r**3 - 94*r**2 + 94*r**2 + 8 + (r - 1 + 1)*(-6*r**2 + 3*r**2 + 2*r**2))*(5 - 4 + 0) to the form a*r**3 + i + w*r**2 + g*r and give i.
8
Rearrange 6*p**3 + 396*p**2 - 396*p**2 + p to the form r*p + x + z*p**3 + b*p**2 and give z.
6
Rearrange (-3 - 2 + 2)*(-8*c - 7*c + 0*c) to the form l*c + d and give l.
45
Express ((-3*j - 3*j + 3*j)*(-j + 4*j - j) - j**2 - 3*j**2 + 2*j**2)*(j - j - 10*j) in the form w*j**2 + p*j + z*j**3 + l and give z.
80
Express -k**4 + 5 + 2 - 9 + 3*k**4 + 3*k**2 in the form h*k**2 + s*k**3 + v*k**4 + z*k + y and give h.
3
Rearrange -2*x - 4*x - 4*x**3 - 2*x**2 + 4*x to the form n*x**2 + f*x**3 + u*x + v and give f.
-4
Rearrange 2*o**3 + 0*o**3 - 11*o**3 + (-7*o - 2*o - 7*o)*(2*o - o**2 - 2*o) to the form x + a*o**2 + v*o + l*o**3 and give l.
7
Rearrange -4 + 58*j - 4 + 8 to b*j + c and give b.
58
Express -z + 0*z - z**4 - 25*z**2 + 29*z**2 - 2*z**3 as y*z + j*z**3 + x*z**2 + v + w*z**4 and give j.
-2
Express (-3*l + 3*l + l)*(2 + 1 - 25)*(1 - 1 - 1)*(-3 + 0 + 2) in the form b*l + t and give t.
0
Rearrange m + 1 + 7*m**3 - 2*m**3 - 4*m to k*m**2 + y*m + p + s*m**3 and give y.
-3
Express -3 - 26*o**2 - 2 + 5 in the form i*o + l + x*o**2 and give x.
-26
Rearrange (3 - 7 + 3)*(-3*h - 1 + 4*h - 2 + 3*h - 2*h + 0*h + 2 + 2*h - 2 + (h + 2*h - h)*(-3 + 7 - 2) - 2*h + 0*h + 0*h) to n*h + d and give d.
3
Rearrange 102*j**2 - 5*j - j + 6*j to the form n*j + v + z*j**2 and give z.
102
Express -2*l + 10*l - 7*l - 18*l**2 as o*l + r + m*l**2 and give m.
-18
Rearrange -25*k**3 + 4*k**3 + 15*k**3 + (-1 + 3*k + 1)*(0*k**2 - 2*k**2 + 3*k**2) to x*k**3 + v*k**2 + z + s*k and give x.
-3
Rearrange (-2*h + h - 3*h)*(-12 - h + 4 + 9) to p + v*h + b*h**2 and give v.
-4
Express -1 + 39*b - 3 + 3 as a*b + j and give j.
-1
Rearrange -2 - k**4 + 7 - 7 + 2*k**2 to the form m*k + l*k**3 + r*k**4 + h*k**2 + g and give r.
-1
Express 2*r - 33*r + 8*r + (4 - r - 4)*(-4 - 1 + 2) - r + 2*r - 2*r in the form c + l*r and give l.
-21
Rearrange (-2*i + 0 + 0)*(6*i**3 - i**3 + 11*i**3) to j*i + g*i**4 + c + u*i**2 + w*i**3 and give g.
-32
Rearrange r - 35 - 41 + 43 + (0*r - 4*r + 3*r)*(-2 + 4 - 3) to the form j*r + x and give j.
2
Express -3*c - 92 + 20 + 30 + 30 as g + r*c and give g.
-12
Express -38*z**2 + 15*z**2 + 21*z**2 as i*z + l*z**2 + t and give l.
-2
Rearrange 3*w - w - 2*w - 3*w to the form d + r*w and give r.
-3
Express -d**3 - 2*d**3 - 4*d**3 + (-2*d**2 + 2*d**2 + 2*d**2)*(3*d - 2*d - 2*d) - 4*d**3 + 0*d**3 + d**3 in the form h + c*d**2 + x*d**3 + q*d and give x.
-12
Rearrange 4*w**2 - 8*w**3 - 3*w**2 - 96*w - 2*w**4 + 94*w to the form s + d*w**4 + u*w**3 + j*w**2 + k*w and give u.
-8
Express 67 + 23*c + 68 - 131 as q + x*c and give x.
23
Rearrange (-6*b + 3*b + b)*(b + 3 - b - 5*b) + (2*b - 2 + 2)*(4*b - 6*b + 0*b) to the form n*b + s*b**2 + k and give s.
6
Rearrange 16*c - 31*c + 8*c + c**3 to x + t*c**2 + a*c**3 + l*c and give l.
-7
Express -62*z + 45*z - 20*z - z**2 in the form v + r*z + x*z**2 and give r.
-37
Rearrange 61*c**2 - 5*c**2 - 3*c**2 to the form j*c**2 + p*c + t and give j.
53
Express 17*o - 3 + 3 as x*o + z and give x.
17
Rearrange (2*a + 0*a - a + 4*a - 3*a - 2*a + (-3 + 1 + 3)*(4*a - 3*a - 2*a) - 3*a + 4*a - 3*a)*(-2 + 6 + 1) to g*a + u and give g.
-15
Rearrange f**2 + 2*f - 5*f**2 - 4*f**2 - 4*f to z*f**2 + i*f + d and give z.
-8
Express (2*m - m - 2*m)*(3*m**2 - 3*m**2 + 2*m**3) + (4*m + 3*m - 2*m)*(-5*m**3 - 76*m + 76*m) as f*m**2 + h*m**4 + b + p*m**3 + r*m and give h.
-27
Rearrange -3 + 2*i - 23746*i**3 + 23744*i**3 + 64 to w + n*i + r*i**2 + u*i**3 and give n.
2
Rearrange (6 + 3 + 0)*(2 + 1 - 1)*(-3*l + 2*l + 0*l) to the form u + i*l and give i.
-18
Rearrange -3*h**4 - 16*h**3 + 18*h**3 + h | {
"pile_set_name": "DM Mathematics"
} |
es next: -1159359, -1159360, -1159361?
-1159362
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-546408
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18090
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1850
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466218
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2546
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-10300
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20558
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-4467299
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638
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-57
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-3368
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1356679
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-3721
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94321
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837
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467470
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-43221
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-16915
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-288
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-90898
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12923
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15800
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-257826
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233
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363552
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23496
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16029
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-57034
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1596194
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3327919
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399974
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-428277
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1506735
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1237636
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-13877
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8279
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-40893
What is the next term in 891, 969, 1047, 1125, 1203?
1281
What is the next term in -1026, -1094, -1162, -1230?
-1298
What is next in 2393, 5087, 7795, 10523, 13277?
16063
What is the next term in -532881, -532880, -532879, -532878?
-532877
What is the next term in -73112, -73132, -73152, -73172, -73192?
-73212
What is the next term in -100992, -100995, -100998, -101001, -101004?
-101007
What comes next: 2955, 5909, 8869, 11841, 14831, 17845, 20889, 23969?
27091
What is next in 8875, 8881, 8895, 8917, 8947?
8985
What is next in -8041, -7998, -7955?
-7912
What is the next term in -14913, -14916, -14919, -14922, -14925?
-14928
What is next in 72368, 144669, 216970?
289271
What is the next term in -114593, -229187, -343781, -458375?
-572969
What comes next: 52, 636, 2210, 5266, 10296, 17792, 28246?
42150
What comes next: 291, 765, 1545, 2625, 3999, 5661, 7605, 9825?
12315
What is the next term in -3657, -14004, -31241, -55362, -86361, -124232?
-168969
What is next in -144355, -288689, -433023?
-577357
What comes next: 1114, 1113, 1120, 1141, 1182, 1249?
1348
What is next in -323, -1018, -2447, -4976, -8971?
-14798
What is next in 106, 47, -52, -191, -370?
-589
What is next in -32519, -65042, -97565, -130088?
-162611
What is the next term in 58, 186, 398, 694?
1074
What is the next term in 7013, 28045, 63089, 112139, 175189?
252233
What comes next: 352809, 705616, 1058435, 1411272, 1764133, 2117024, 2469951?
2822920
What comes next: -352516, -352518, -352520?
-352522
What is next in -588, -2057, -4418, -7677, -11840, -16913, -22902, -29813?
-37652
What is next in 29108, 29130, 29190, 29306, 29496?
29778
What comes next: -27, -8, 23, 78, 169, 308?
507
What is next in -2718, -4367, -6016, -7665, -9314, -10963?
-12612
What is the next term in -16858, -33713, -50564, -67411, -84254, -101093, -117928?
-134759
What is next in -1038, -1086, -1132, -1176, -1218?
-1258
What is the next term in -657, -543, -429, -315, -201?
-87
What comes next: -530787, -1061574, -1592363, -2123154, -2653947, -3184742, -3715539?
-4246338
What is the next term in 5155, 5158, 5161?
5164
What is next in -3925, -3861, -3747, -3577, -3345, -3045, -2671?
-2217
What comes next: -29835, -59635, -89437, -119241?
-149047
What is next in 8176, 16358, 24542, 32728?
40916
What is next in 182131, 364276, 546419, 728560, 910699, 1092836, 1274971?
1457104
What comes next: 32, 36, 18, -34, -132, -288?
-514
What is the next term in -6960, -7021, -7084, -7149, -7216?
-7285
What is next in 1805, 2798, 3793, 4790?
5789
What comes next: 792, 6361, 21472, 50895, 99400, 171757, 272736, 407107?
579640
What comes next: -377, -1383, -3017, -5279, -8169?
-11687
What is next in 19508, 19524, 19552, 19592, 19644, 19708, 19784?
19872
What is next in 26158, 26099, 25942, 25639, 25142, 24403, 23374?
22007
What is the next term in 3, -23, -69, -141, -245?
-387
What comes next: -9, -23, -93, -255, -545, -999, -1653?
-2543
What is the next term in -1940256, -1940257, -1940258, -1940259, -1940260?
-1940261
What is next in 4470, 4479, 4482, 4479, 4470, 4455, 4434?
4407
What is next in -4437, -8873, -13309, -17745?
-22181
What is the next term in -293450, -586899, -880348, -1173797, -1467246, -1760695?
-2054144
What comes next: -25881, -51763, -77645, -103527, -129409, -155291?
-181173
What is next in -94, 130, 502, 1022?
1690
What comes next: 13342, 13344, 13328, 13282, 13194, 13052, 12844, 12558?
12182
What comes next: 3633, 3664, 3695, 3726, 3757, 3788?
3819
What is next in 2460, 2500, 2604, 2802, 3124?
3600
What comes next: -146249, -292501, -438753, -585005?
-731257
What comes next: -3466, -6966, -10442, -13882, -17274?
-20606
What is next in 199, 873, 1991, 3547, 5535, 7949, 10783?
14031
What comes next: -1439, -1430, -1419, -1406, -1391, -1374, -1355?
-1334
What is next in -18955, -75853, -170697, -303499, -474271, -683025?
-929773
What comes next: -2211, -2197, -2183?
-2169
What comes next: 7, 808, 2159, 4060, 6511?
9512
What comes next: 35316, 70620, 105912, 141186, 176436, 211656?
246840
What is next in -203, -1120, -2743, -5078, -8131, -11908, -16415, -21658?
-27643
What is next in -946, -1147, -1348, -1549?
-1750
What is the next term in -1268, -2422, -3454, -4358, -5128, -5758, -6242?
-6574
What comes next: 122, 287, 528, 875, 1358?
2007
What comes next: 215798, 215805, 215812, 215819, 215826?
215833
What is the next term in -2905, -4056, -5207, -6358, -7509, -8660?
-9811
What is the next term in -5390, -10797, -16210, -21623, -27030, -32425?
-37 | {
"pile_set_name": "DM Mathematics"
} |
imes 0.2
2901.8
Calculate 14*0.14.
1.96
What is -0.2 times -1.73?
0.346
-0.54 * 0.3
-0.162
301 * 2
602
Work out -4.3 * -4.6.
19.78
What is 0.03835 times 0?
0
19.5 times -3
-58.5
-0.0731 times -2
0.1462
Calculate -0.35*0.08.
-0.028
Product of -0.1 and 892.
-89.2
Multiply 193 and 0.4.
77.2
Multiply -667 and -7.
4669
-0.3 * 6.086
-1.8258
Calculate 0.6*11.
6.6
What is the product of 0.5 and 2?
1
-0.2 * 26
-5.2
Work out -2 * 59.
-118
Calculate 25*-0.05.
-1.25
-1 * 272
-272
53*44
2332
Work out 0 * 739.
0
Multiply 0.04 and 5.
0.2
60 times -0.2
-12
3 * -234
-702
What is -34.5 times -1?
34.5
What is -80 times 0?
0
What is 0.3 times -2.954?
-0.8862
Work out -0.1 * -463.
46.3
What is -14 times -156?
2184
-10.41 times -4
41.64
-49.42 * 0.5
-24.71
-0.16 times -634
101.44
Work out -0.2 * -34.
6.8
0.17*-528
-89.76
What is -223 times -3?
669
-9*-0.0065
0.0585
What is the product of 0.5 and -583?
-291.5
Work out -0.5 * -43.1.
21.55
What is -1 times 29?
-29
234 times -2.2
-514.8
Calculate 3*-2.
-6
What is -7 times 0.5?
-3.5
Work out -85 * 7.
-595
What is the product of 9 and 26?
234
3.9*0.2
0.78
Calculate 2*23.6.
47.2
Calculate 227.5*-8.
-1820
-906 times -5
4530
Work out 48 * 3.
144
Product of 0.6 and 25.
15
Work out -23 * 3.2.
-73.6
Calculate -1.94*0.19.
-0.3686
0.016*-0.19
-0.00304
0.3 * -3.1
-0.93
Product of -0.03 and 0.1022.
-0.003066
What is the product of 2 and 0.07?
0.14
0 * 1059
0
Calculate 26641*1.
26641
Work out 0.1 * 0.22.
0.022
-0.3373*0.3
-0.10119
Work out 3 * -3.03.
-9.09
Product of 0.05 and -7.45.
-0.3725
Product of -0.5 and -8.
4
What is the product of 0 and 0.0214?
0
What is 5.41 times -0.4?
-2.164
-0.4 times 379
-151.6
Product of -12 and 1322.
-15864
What is 0.27 times 0.2?
0.054
Work out -3 * 23.
-69
2 times 2561
5122
Multiply -0.01229 and -2.
0.02458
Calculate 782*-0.5.
-391
What is the product of -0.4 and -0.112?
0.0448
Product of -0.067 and -19.
1.273
20661 times -5
-103305
What is 0.3 times 0.08854?
0.026562
-70*-0.5
35
Product of 0.007 and 11.
0.077
Calculate -32*-104.
3328
What is the product of 2 and -0.41?
-0.82
Calculate -20020*3.
-60060
-5 * 1.5
-7.5
Product of 9 and 193.
1737
-3*-183
549
What is -0.2 times -0.3?
0.06
Work out -0.2 * 1.92.
-0.384
-48 times -48
2304
Calculate 0.49*36.
17.64
Multiply -5 and -4.522.
22.61
77 times 257
19789
What is the product of 20 and -3?
-60
60 * 22
1320
Multiply 8.1 and 0.2.
1.62
0.07856 * 0.2
0.015712
212 * 0.69
146.28
-39 * -25
975
Calculate -0.9859*-1.
0.9859
-0.5 times 0.25
-0.125
Work out -0.3 * -0.15.
0.045
Multiply 7 and 296.
2072
-0.04801*0
0
Work out 1 * 1748.
1748
Work out -2.5 * -12.
30
What is the product of -73 and 1.4?
-102.2
What is 2 times -73.31?
-146.62
Product of 74 and 0.
0
Multiply -94 and -3.
282
What is 3 times 2.995?
8.985
-2 times 1438
-2876
Work out -1.2 * -2.
2.4
What is the product of 0.16 and 0.14?
0.0224
What is the product of 1 and 648?
648
Calculate 13303*0.5.
6651.5
What is 1.2 times 5?
6
Work out 1 * -723.
-723
What is 19.7 times -0.5?
-9.85
0.01 times -0.26
-0.0026
3 * 217
651
Calculate -7*-0.1.
0.7
-36.44*0.5
-18.22
Product of 13.25 and -0.2.
-2.65
1.34 times 0.1
0.134
Product of -4.33 and 0.23.
-0.9959
What is 3 times -0.17?
-0.51
-1.151 times -0.4
0.4604
-784 times -1.5
1176
Product of 0.4 and 0.027.
0.0108
30 times -0.0718
-2.154
Product of 1382 and 0.1.
138.2
1006*-0.4
-402.4
Calculate -0.0718*-5.
0.359
What is -90 times -0.5?
45
Calculate -0.2*-0.365.
0.073
-0.39 * -0.4
0.156
What is the product of 0.02 and -18?
-0.36
-1 times 144
-144
9.5 times 4
38
Product of -0.18 and -0.35.
0.063
Multiply 31 and -0.3.
-9.3
Multiply 1 and -507.
-507
-5 times 0.194
-0.97
2.8 * 0.003
0.0084
Work out -4 * -0.003.
0.012
What is the product of 6 and 0.034?
0.204
What is 0.3663 times -0.2?
-0.07326
Calculate -0.01*-22.64.
0.2264
0.5 * -0.071
-0.0355
-21263 times -2
42526
Multiply -37 and 9.
-333
15 times 0.17
2.55
Calculate -4*226.9.
-907.6
Work out -4 * 0.66.
-2.64
-2 times 0.05
-0.1
Calculate -0.2*471.
-94.2
Multiply -0.13 and -70.
9.1
Product of -9.8 and 0.4.
-3.92
What is -111 times 2?
-222
Work out -0.59 * 0.1.
-0.059
-0.2*998
-199.6
Product of -5.14 and -3.
15.42
-237.8*4
-951.2
Multiply 0.2 and -3.93.
-0.786
What is -0.22 times 1?
-0.22
0.4 times 5.2
2.08
Product of -679.7 and -0.5.
339.85
What is the product of -5 and -3446?
17230
What is the product of 6 and 6?
36
What is the product of -22 and -0.19?
4.18
3*0.045
0.135
Work out 12.7 * -0.3.
-3.81
What is 5 times 0.082?
0.41
Work out 30 * 2.
60
What is the product of 3 and -6.1?
-18.3
Multiply 0 and -103.
0
-33 times -0.2
6.6
-162*0.4
-64.8
Calculate 486*9.
4374
1*0.423
0.423
Multiply -0.03 and 0.52.
-0.0156
Product of 0 and 5095.
0
Calculate 0.11*-1609.
-176.99
Calculate -1.1*1.2.
-1.32
Product of -333 and -2.
666
-102*-0.1
10.2
Multiply 0.554 and 0.
0
Multiply 14 and -28.
-392
Calculate 19*-66.
-1254
Product of 5 and 0.07.
0.35
What is -18 times 3.4?
-61.2
What is the product of 1391 and 2?
2782
What is the product of 5 and 9.85?
49.25
Multiply 132 and 0.02.
2.64
What is the product of 0.4 and -201?
-80.4
2 * 0.165
0.33
Calculate -2.5*1.709.
-4.2725
Multiply -0.5 and -286.
143
-0.2 * 10.7
-2.14
What is -38 times -636?
24168
-45 * -0.01
0.45
0.01 * 24.1
0.241
What is -0.02 times 0.015?
-0.0003
Calculate -40.4*-2.
80.8
What is 3 times 33?
99
Work out -9 * -2.
18
Calculate -0.2*120.
-24
Product of -0.2 and -326.
65.2
-0.3 times 1.68
-0.504
What is the product of 4.6 and 11?
50.6
Calculate -0.16*0.6.
-0.096
-39*0.49
-19.11
What is -4.4 times 1.17?
-5.148
What is the product of 5 and -4.11?
-20.55
Product of -0.4 and 124.
-49.6
What is 0.2243 times 3?
0.6729
Calculate 3*-0.1787.
-0.5361
Multiply -1.812 and 0.2.
-0.3624
What is 130 times -110?
-14300
Product of 9 and 0.1348.
1.2132
What is the product of -0.9 and -84?
75.6
What is 740 times -0.3?
-222
1.58 * 0.167
0.26386
Product of -0.116 and 2.2.
-0.2552
Work out -3624 * 1.
-3624
0.5 * 0.22
0.11
1299 times -4
-5196
3838*-1
-3838
What is the product of -0.24 and -0.688?
0.16512
What is -0.07 times -0.8?
0.056
0.015 times 0.5
0.0075
-0.6 * -0.0496
0.02976
Product of 336.1 and -0.5.
-168.05
Calculate -3.06*-3.
9.18
Work out 40 * 2.46.
98.4
-0.2 * 67
-13.4
Work out 2 * 0.02.
0.04
Product of -36.5 and 0.2.
-7.3
What is 38 times 0.4?
15.2
-3*-126
378
-0.0156 times 0
0
Product of 0.02 and -166.
-3.32
What is -3 times -2223?
6669
What is -6016 times 0.4?
-2406.4
Calculate -142*-0.4.
56.8
What is 4 times -0.06?
-0.24
Multiply -751 and 22.
-16522
Work out -0.1 * -2.92.
0.292
-0.264*-17
4.488
What is 0.4 times 280?
112
Work out -0.5 * -153.2.
76.6
Multiply 20 and -0.8.
-16
What is the product of 0.06 and -3241?
-194.46
-5 times 281
-1405
What is the product of -2 and -21.4?
42.8
What is 150.1 times 6?
900.6
Product of 6 and -0.008.
-0.048
-1.984 * -5
9.92
Calculate 12*-0.8.
-9.6
-0.051 * -82
4.182
Work out -8 * 33.
-264
-0.1*-22.41
2.241
-34 times 5
-170
Calculate 0.335*38.
12.73
Work out 18 * 0.08.
1.44
610 * 0.1
61
Work out 0.1314 * 0.
0
Calculate 48.9*-0.03.
-1.467
Calculate 338*-0.8.
-270.4
28.025 * 0.2
5.605
37 * 0.9
33.3
1*1.11
1.11
Calculate 0.1*1.28.
0.128
-1.3 times 3.49
-4.537
-0.5 * -1.45
0.725
Work out -98 * -3.
294
What is the product of -0.1 and 925?
-92.5
Calculate 73*-7.
-511
Product of 5 and 85.
425
-3058 times 0.5
-1529
Product of 0.06 and -51.
-3.06
What is 68 times -2?
-136
What is the product of 58 and 1?
58
-4.41*1.5
-6.615
Calculate 0.005*25.
0.125
-0.47 * 20
-9.4
Product of 1 and -2226.
-2226
Work out -0.3 * 0.015.
-0.0045
2 * 188
376
1238 * -1
-1238
4.9 times -17
-83.3
-0.02*-525
10.5
Multiply 47 and 167.
7849
24*0.2
4.8
Product of 1.1 and -0.2.
-0.22
What is the product of 1629 and 0.4?
651.6
Work out 1.65 * -15.
-24.75
3 times 1230
3690
Work out -5 * -128.
640
Product of 0.4 and 0.46.
0.184
-10*-205
2050
What is 0.063 times 0.5?
0.0315
2 * -1099
-2198
Calculate -0.3*10218.
-3065.4
Product of 1000 and 0.3.
300
-0.5 times 1328
-664
What is the product of -1 and -1.45?
1.45
-6 times 0.02
-0.12
What is -5435 times -3?
16305
What is 0.134 times 0.2?
0.0268
What is 9.6 times 0.03?
0.288
Calculate 8*-0.31.
-2.48
Work out 1088 * -0.11.
-119.68
-218.7 * -0.2
43.74
1427 times 2
2854
Work out 3.926 * -1.
-3.926
1402 * 4
5608
Product of 3.32 and 0.2.
0.664
Multi | {
"pile_set_name": "DM Mathematics"
} |
aces.
0.0000024
What is 6480000 rounded to the nearest one million?
6000000
Round -0.00000789 to five decimal places.
-0.00001
Round -0.000174 to five decimal places.
-0.00017
Round -0.007563 to 3 dps.
-0.008
Round -140010 to the nearest ten thousand.
-140000
Round -0.0024785 to 4 dps.
-0.0025
Round -0.0000826 to 5 dps.
-0.00008
Round 5.027 to the nearest integer.
5
Round -0.000000023 to seven decimal places.
0
What is 0.00000413 rounded to six dps?
0.000004
What is 0.0000014378 rounded to seven decimal places?
0.0000014
Round -0.000031803 to six dps.
-0.000032
What is 47.2 rounded to the nearest ten?
50
Round 2.6254 to the nearest integer.
3
Round -11900000 to the nearest one million.
-12000000
What is 3.657 rounded to two decimal places?
3.66
Round -32.084 to one decimal place.
-32.1
What is 158500000 rounded to the nearest 1000000?
159000000
What is -125.74 rounded to the nearest ten?
-130
What is 437 rounded to the nearest one hundred?
400
Round 0.00000041735 to seven decimal places.
0.0000004
Round -573330000 to the nearest 1000000.
-573000000
What is 0.68227 rounded to 3 dps?
0.682
What is 0.3314 rounded to two decimal places?
0.33
What is 0.00005728 rounded to 5 dps?
0.00006
What is -1008520 rounded to the nearest 100000?
-1000000
What is -0.000000752 rounded to 7 decimal places?
-0.0000008
Round -884.3 to the nearest 10.
-880
What is 0.00000848 rounded to seven dps?
0.0000085
Round -0.114171 to 3 decimal places.
-0.114
Round -0.000552 to 5 decimal places.
-0.00055
What is -0.05626 rounded to three decimal places?
-0.056
Round -0.0983346 to two dps.
-0.1
What is -7630900 rounded to the nearest one hundred thousand?
-7600000
What is -56.564 rounded to the nearest integer?
-57
Round 1156.3 to the nearest 10.
1160
What is -0.0051 rounded to two dps?
-0.01
What is 0.000000353 rounded to seven dps?
0.0000004
Round -1472.58 to the nearest 100.
-1500
Round -0.0000001816 to 7 dps.
-0.0000002
Round -0.7537 to two decimal places.
-0.75
What is 0.000000542 rounded to seven decimal places?
0.0000005
What is -18080000 rounded to the nearest 1000000?
-18000000
What is 13868000 rounded to the nearest 1000000?
14000000
What is -4596.1 rounded to the nearest 100?
-4600
What is -0.0098583 rounded to 4 decimal places?
-0.0099
What is -0.00000345 rounded to seven decimal places?
-0.0000035
What is -32250000 rounded to the nearest 1000000?
-32000000
Round -1144000 to the nearest one hundred thousand.
-1100000
What is 3806100 rounded to the nearest 1000000?
4000000
What is 7188.6 rounded to the nearest one hundred?
7200
What is -0.45167 rounded to three dps?
-0.452
What is -0.0000021132 rounded to seven dps?
-0.0000021
What is -53.802 rounded to the nearest 10?
-50
What is -0.284 rounded to one decimal place?
-0.3
What is 0.00039324 rounded to five decimal places?
0.00039
Round -0.001764 to 3 dps.
-0.002
What is -2950 rounded to the nearest 1000?
-3000
What is -0.0000006552 rounded to seven decimal places?
-0.0000007
Round -0.000028478 to seven dps.
-0.0000285
What is -0.000004911 rounded to 7 decimal places?
-0.0000049
What is 0.000033 rounded to four dps?
0
Round -0.00205 to four dps.
-0.0021
What is -0.0000093956 rounded to seven dps?
-0.0000094
What is 0.02725 rounded to three decimal places?
0.027
Round 35.93 to the nearest integer.
36
Round -6147300 to the nearest 100000.
-6100000
What is 36860000 rounded to the nearest 1000000?
37000000
Round 0.184215 to 3 decimal places.
0.184
Round -1500000 to the nearest ten thousand.
-1500000
Round 233800 to the nearest one hundred thousand.
200000
Round -0.00208 to three dps.
-0.002
Round 48400 to the nearest ten thousand.
50000
Round 0.000007975 to 5 decimal places.
0.00001
What is -15219.6 rounded to the nearest one hundred?
-15200
Round 0.000025503 to six decimal places.
0.000026
What is -150930 rounded to the nearest one thousand?
-151000
What is 0.0000816 rounded to five dps?
0.00008
Round -0.0000078749 to seven decimal places.
-0.0000079
Round -10325000 to the nearest 1000000.
-10000000
What is -0.00000684 rounded to seven decimal places?
-0.0000068
Round -0.06526 to 3 dps.
-0.065
Round 34932000 to the nearest 1000000.
35000000
What is 0.0145443 rounded to 3 decimal places?
0.015
Round -15623000 to the nearest 100000.
-15600000
Round 14380000 to the nearest one million.
14000000
Round 15135 to the nearest 100.
15100
Round 0.01827 to two dps.
0.02
What is 8.658 rounded to 0 dps?
9
What is -196464 rounded to the nearest 1000?
-196000
What is -0.017569 rounded to four decimal places?
-0.0176
Round 204.57 to zero decimal places.
205
What is -0.2297 rounded to 2 decimal places?
-0.23
Round -0.033479 to two dps.
-0.03
What is -966500 rounded to the nearest one hundred thousand?
-1000000
Round 0.6872 to 1 dp.
0.7
Round -0.000011823 to six decimal places.
-0.000012
What is -0.000001621 rounded to seven decimal places?
-0.0000016
What is -0.0018103 rounded to 5 dps?
-0.00181
Round 18684 to the nearest one hundred.
18700
Round -0.0001543 to four decimal places.
-0.0002
What is -2510 rounded to the nearest 1000?
-3000
Round 5785200 to the nearest ten thousand.
5790000
Round 1253800 to the nearest 100000.
1300000
Round 0.0001259 to 6 dps.
0.000126
Round -14679200 to the nearest one hundred thousand.
-14700000
What is 0.25273 rounded to 2 dps?
0.25
Round 248.5 to the nearest 10.
250
Round -51940 to the nearest one hundred thousand.
-100000
What is 52300 rounded to the nearest one hundred thousand?
100000
Round -0.01631 to 2 dps.
-0.02
What is -0.2442 rounded to 2 decimal places?
-0.24
Round -0.000044 to 3 dps.
0
What is -284700 rounded to the nearest 100000?
-300000
Round 0.0001216 to 5 decimal places.
0.00012
What is 33550000 rounded to the nearest one million?
34000000
Round 34133 to the nearest 1000.
34000
Round 2800 to the nearest one thousand.
3000
What is 0.29281 rounded to three decimal places?
0.293
What is 417.48 rounded to 0 decimal places?
417
Round -1907.7 to the nearest ten.
-1910
Round 0.00022675 to six decimal places.
0.000227
What is -8.664 rounded to 1 dp?
-8.7
What is -2361.4 rounded to the nearest one hundred?
-2400
Round 17848000 to the nearest one hundred thousand.
17800000
Round 0.0032987 to 4 decimal places.
0.0033
What is 0.00176021 rounded to 4 dps?
0.0018
What is 0.0030248 rounded to 4 dps?
0.003
What is 9.178 rounded to zero decimal places?
9
Round 0.000959 to 4 decimal places.
0.001
What is 0.005564 rounded to three decimal places?
0.006
Round -0.0006611 to 4 dps.
-0.0007
Round -681820 to the nearest one hundred thousand.
-700000
What is 67443 rounded to the nearest 10000?
70000
What is 0.000002441 rounded to 7 decimal places?
0.0000024
Round 0.00858 to 4 decimal places.
0.0086
Round -183400 to the nearest ten thousand.
-180000
What is 638.6 rounded to the nearest one hundred?
600
What is -0.003777 rounded to three dps?
-0.004
Round -173307 to the nearest one thousand.
-173000
What is 0.041353 rounded to two dps?
0.04
Round 0.0152188 to 3 dps.
0.015
Round 0.0000004132 to seven decimal places.
0.0000004
Round -0.0698 to 2 decimal places.
-0.07
What is 0.000087512 rounded to 6 dps?
0.000088
Round 26.328 to 0 decimal places.
26
What is 0.000070783 rounded to six dps?
0.000071
What is -115120000 rounded to the nearest one million?
-115000000
What is 105.3 rounded to the nearest integer?
105
Round -12966000 to the nearest 1000000.
-13000000
What is -727000 rounded to the nearest one hundred thousand?
-700000
What is 2.6527 rounded to 1 dp?
2.7
Round -0.00111685 to five dps.
-0.00112
Round 0.0000002407 to seven dps.
0.0000002
What is 10599 rounded to the nearest 1000?
11000
What is -0.000048288 rounded to 7 dps?
-0.0000483
Round -0.048328 to 3 dps.
-0.048
Round 604420000 to the nearest 1000000.
604000000
What is -0.0000459 rounded to four dps?
0
Round 44956000 to the nearest one hundred thousand.
45000000
Round 0.00003693 to five dps.
0.00004
Round 0.000014791 to seven decimal places.
0.0000148
Round 0.0018374 to 4 dps.
0.0018
What is -132874000 rounded to the nearest one million?
-133000000
Round 847 to the nearest one hundred.
800
Round -0.0000306 to five dps.
-0.00003
What is -0.09296 rounded to 3 dps?
-0.093
What is 1.76348 rounded to one decimal place?
1.8
Round 863 to the nearest 10.
860 | {
"pile_set_name": "DM Mathematics"
} |
uare root of 206273583 to the nearest integer?
14362
What is 2304326379 to the power of 1/10, to the nearest integer?
9
What is the cube root of 503273354 to the nearest integer?
795
What is the square root of 411546564 to the nearest integer?
20287
What is 108518544 to the power of 1/10, to the nearest integer?
6
What is the fifth root of 71100743 to the nearest integer?
37
What is 76247113 to the power of 1/2, to the nearest integer?
8732
What is 575329339 to the power of 1/3, to the nearest integer?
832
What is 2595142310 to the power of 1/5, to the nearest integer?
76
What is 3172012848 to the power of 1/3, to the nearest integer?
1469
What is the third root of 2189601840 to the nearest integer?
1299
What is 413934691 to the power of 1/7, to the nearest integer?
17
What is the sixth root of 4377079121 to the nearest integer?
40
What is 1313390319 to the power of 1/3, to the nearest integer?
1095
What is the square root of 54019215 to the nearest integer?
7350
What is the cube root of 2017492194 to the nearest integer?
1264
What is the square root of 121289610 to the nearest integer?
11013
What is 491453833 to the power of 1/3, to the nearest integer?
789
What is 1126430262 to the power of 1/8, to the nearest integer?
14
What is 27734288 to the power of 1/3, to the nearest integer?
303
What is 2764318778 to the power of 1/2, to the nearest integer?
52577
What is 47708018 to the power of 1/2, to the nearest integer?
6907
What is 4965251834 to the power of 1/2, to the nearest integer?
70465
What is the square root of 5911343446 to the nearest integer?
76885
What is the sixth root of 74858678 to the nearest integer?
21
What is 564664685 to the power of 1/2, to the nearest integer?
23763
What is 125846322 to the power of 1/3, to the nearest integer?
501
What is 1589729402 to the power of 1/2, to the nearest integer?
39871
What is the ninth root of 38501497 to the nearest integer?
7
What is the cube root of 1709112850 to the nearest integer?
1196
What is the fourth root of 180667631 to the nearest integer?
116
What is the fourth root of 84918562 to the nearest integer?
96
What is the seventh root of 1997201653 to the nearest integer?
21
What is the cube root of 898136714 to the nearest integer?
965
What is the fifth root of 421653982 to the nearest integer?
53
What is 413590086 to the power of 1/2, to the nearest integer?
20337
What is 811856556 to the power of 1/9, to the nearest integer?
10
What is the tenth root of 620201237 to the nearest integer?
8
What is 1478894123 to the power of 1/5, to the nearest integer?
68
What is 30677879 to the power of 1/4, to the nearest integer?
74
What is the third root of 126796449 to the nearest integer?
502
What is 6705667812 to the power of 1/7, to the nearest integer?
25
What is 282020034 to the power of 1/9, to the nearest integer?
9
What is 168601597 to the power of 1/2, to the nearest integer?
12985
What is the third root of 63439053 to the nearest integer?
399
What is 584066653 to the power of 1/3, to the nearest integer?
836
What is the square root of 60060374 to the nearest integer?
7750
What is the cube root of 36381344 to the nearest integer?
331
What is the square root of 2682673748 to the nearest integer?
51795
What is the third root of 135419612 to the nearest integer?
514
What is the cube root of 38425899 to the nearest integer?
337
What is the seventh root of 19594488 to the nearest integer?
11
What is 53874078 to the power of 1/3, to the nearest integer?
378
What is 29484488 to the power of 1/10, to the nearest integer?
6
What is the cube root of 1736793957 to the nearest integer?
1202
What is 153268893 to the power of 1/7, to the nearest integer?
15
What is the fifth root of 252538543 to the nearest integer?
48
What is the cube root of 1939166124 to the nearest integer?
1247
What is the third root of 11101066 to the nearest integer?
223
What is 35700818 to the power of 1/2, to the nearest integer?
5975
What is 311984947 to the power of 1/8, to the nearest integer?
12
What is 168647623 to the power of 1/10, to the nearest integer?
7
What is the seventh root of 38303142 to the nearest integer?
12
What is the square root of 884865193 to the nearest integer?
29747
What is 81449981 to the power of 1/5, to the nearest integer?
38
What is the cube root of 47074221 to the nearest integer?
361
What is the third root of 329407192 to the nearest integer?
691
What is 27787695 to the power of 1/2, to the nearest integer?
5271
What is the square root of 795167636 to the nearest integer?
28199
What is 52109161 to the power of 1/2, to the nearest integer?
7219
What is 200863571 to the power of 1/2, to the nearest integer?
14173
What is the seventh root of 717921301 to the nearest integer?
18
What is the sixth root of 406611089 to the nearest integer?
27
What is the eighth root of 2951375218 to the nearest integer?
15
What is the square root of 685883941 to the nearest integer?
26189
What is the fifth root of 53935292 to the nearest integer?
35
What is 89960062 to the power of 1/6, to the nearest integer?
21
What is the third root of 1367695853 to the nearest integer?
1110
What is 325941993 to the power of 1/2, to the nearest integer?
18054
What is the cube root of 119531296 to the nearest integer?
493
What is the cube root of 534843253 to the nearest integer?
812
What is 43628889 to the power of 1/2, to the nearest integer?
6605
What is 35242745 to the power of 1/2, to the nearest integer?
5937
What is the third root of 4569446734 to the nearest integer?
1659
What is 56011690 to the power of 1/2, to the nearest integer?
7484
What is the seventh root of 56790013 to the nearest integer?
13
What is 4014839295 to the power of 1/2, to the nearest integer?
63363
What is the cube root of 36646571 to the nearest integer?
332
What is the eighth root of 9071888879 to the nearest integer?
18
What is the square root of 93407683 to the nearest integer?
9665
What is the fifth root of 62832486 to the nearest integer?
36
What is the ninth root of 589607878 to the nearest integer?
9
What is the fifth root of 3008898211 to the nearest integer?
79
What is the seventh root of 49317187 to the nearest integer?
13
What is the eighth root of 707329012 to the nearest integer?
13
What is the fifth root of 943291863 to the nearest integer?
62
What is 296854442 to the power of 1/9, to the nearest integer?
9
What is 465672053 to the power of 1/10, to the nearest integer?
7
What is 46129020 to the power of 1/2, to the nearest integer?
6792
What is 1153785219 to the power of 1/3, to the nearest integer?
1049
What is 841553412 to the power of 1/10, to the nearest integer?
8
What is the cube root of 212109074 to the nearest integer?
596
What is the square root of 1557898023 to the nearest integer?
39470
What is the cube root of 16869387 to the nearest integer?
256
What is the seventh root of 112037635 to the nearest integer?
14
What is the third root of 7022209028 to the nearest integer?
1915
What is 274370927 to the power of 1/2, to the nearest integer?
16564
What is the square root of 629365392 to the nearest integer?
25087
What is the third root of 16911315 to the nearest integer?
257
What is the eighth root of 1152438407 to the nearest integer?
14
What is the fifth root of 34403856 to the nearest integer?
32
What is the cube root of 1524933830 to the nearest integer?
1151
What is 109132427 to the power of 1/2, to the nearest integer?
10447
What is 133035660 to the power of 1/2, to the nearest integer?
11534
What is 249406723 to the power of 1/5, to the nearest integer?
48
What is the square root of 1433423051 to the nearest integer?
37861
What is the fifth root of 953826045 to the nearest integer?
63
What is 2789022861 to the power of 1/7, to the nearest integer?
22
What is the square root of 655041618 to the nearest integer?
25594
What is the eighth root of 295878534 to the nearest integer?
11
What is the ninth root of 3441841575 to the nearest integer?
11
What is the square root of 171089262 to the nearest integer?
13080
What is 657689870 to the power of 1/7, to the nearest integer?
18
What is 898296105 to the power of 1/2, to the nearest integer?
29972
What is the square root of 4812678641 to the nearest integer?
69373
What is | {
"pile_set_name": "DM Mathematics"
} |
tor -c**3 + 22*c**2 - 153*c + 324.
-(c - 9)**2*(c - 4)
Determine t, given that t**3/2 - 5*t**2/2 - 25*t/2 + 125/2 = 0.
-5, 5
Factor 2*y**4 - 22*y**2 - 36*y - 16.
2*(y - 4)*(y + 1)**2*(y + 2)
Determine t so that -3*t**3 - 5217*t**2 - 2270697*t - 2265483 = 0.
-869, -1
Factor -12*i**3 + 51*i**2/2 + 159*i/2 + 42.
-3*(i - 4)*(i + 1)*(8*i + 7)/2
Factor 86*s**3 + 1724*s**2 + 8680*s + 400.
2*(s + 10)**2*(43*s + 2)
What is u in -4*u**5 + 560*u**4 - 19552*u**3 - 6784*u**2 + 244160*u - 313600 = 0?
-4, 2, 70
Factor -2*l**4/7 + 4*l**3 + 62*l**2/7 + 32*l/7.
-2*l*(l - 16)*(l + 1)**2/7
Factor -5*y**3 + 5*y**2 + 5*y - 5.
-5*(y - 1)**2*(y + 1)
Find m such that m**4/9 + 20*m**3/9 - 178*m**2/9 + 292*m/9 - 15 = 0.
-27, 1, 5
Factor -5*x**2 + 100*x + 105.
-5*(x - 21)*(x + 1)
Let 2*x**2/9 - 34*x/9 + 20/3 = 0. What is x?
2, 15
Factor l**5/2 - 15*l**4/2 - 19*l**3/2 + 43*l**2/2 + 39*l + 16.
(l - 16)*(l - 2)*(l + 1)**3/2
Find x, given that x**4/4 + x**3/4 - 13*x**2 + 41*x - 36 = 0.
-9, 2, 4
Solve -r**5/4 + 57*r**4/8 + 149*r**3/4 - 15*r**2/8 - 301*r/4 + 33 = 0.
-4, -2, 1/2, 1, 33
Find m such that -3*m**3 - 12630*m**2 = 0.
-4210, 0
Determine b so that 3*b**5/2 + 21*b**4/2 + 45*b**3/2 + 27*b**2/2 = 0.
-3, -1, 0
Let 2*z**5 - 52*z**4 + 512*z**3 - 2324*z**2 + 4606*z - 2744 = 0. What is z?
1, 4, 7
Factor -3*d**5/4 - 147*d**4/4 + 309*d**3/2 - 471*d**2/2 + 633*d/4 - 159/4.
-3*(d - 1)**4*(d + 53)/4
Solve -2*n**5 - 100*n**4 - 1194*n**3 - 3728*n**2 - 4264*n - 1632 = 0.
-34, -12, -2, -1
Factor -2*r**5 - 48*r**4 - 416*r**3 - 1536*r**2 - 2048*r.
-2*r*(r + 4)**2*(r + 8)**2
Determine r, given that 2*r**4/5 + 6*r**3/5 + 6*r**2/5 + 2*r/5 = 0.
-1, 0
Determine c, given that -34*c**4/7 + 778*c**3/7 + 1758*c**2/7 + 1046*c/7 + 100/7 = 0.
-1, -2/17, 25
Factor -q**3/4 - 7*q**2/2.
-q**2*(q + 14)/4
Find s such that -2*s**3/7 - 178*s**2/7 + 4642*s/7 - 26862/7 = 0.
-111, 11
Factor -2*c**3/7 - 5174*c**2/7 + 10354*c/7 - 5178/7.
-2*(c - 1)**2*(c + 2589)/7
Let 3*o**4 + 123*o**3 - 387*o**2 + 393*o - 132 = 0. What is o?
-44, 1
Let 2*t**2/7 + 36*t/7 = 0. What is t?
-18, 0
Find w such that -5*w**2 - 810*w - 32805 = 0.
-81
Find q such that 4*q**3 - 204*q**2 - 4032*q - 17152 = 0.
-8, 67
Suppose 5*n**4 - 130*n**3 + 1080*n**2 - 2430*n - 3645 = 0. What is n?
-1, 9
What is h in h**5/2 + h**4 - 11*h**3/2 - 6*h**2 = 0?
-4, -1, 0, 3
Factor -2*h**2/7 + 18*h/7 - 40/7.
-2*(h - 5)*(h - 4)/7
Determine r so that 2*r**5 + 2*r**4 - 20*r**3 + 16*r**2 = 0.
-4, 0, 1, 2
Factor 3*o**5 - 51*o**4 + 282*o**3 - 570*o**2 + 483*o - 147.
3*(o - 7)**2*(o - 1)**3
Factor -2*o**2/3 + 8*o/3 + 64/3.
-2*(o - 8)*(o + 4)/3
Factor m**3 + 60*m**2 - 123*m + 62.
(m - 1)**2*(m + 62)
Factor 2*u**3/5 + 166*u**2/5 + 3182*u/5 - 11094/5.
2*(u - 3)*(u + 43)**2/5
Let g**3 - g**2 - 176*g + 960 = 0. Calculate g.
-15, 8
Factor -12*w**2 - 4480*w + 2992.
-4*(w + 374)*(3*w - 2)
Factor 275125*x**4/9 + 165325*x**3/9 + 3685*x**2 + 2231*x/9 + 2/9.
(5*x + 1)**3*(2201*x + 2)/9
Factor 3*d**4/8 - 51*d**3/8 + 36*d**2 - 78*d + 48.
3*(d - 8)*(d - 4)**2*(d - 1)/8
Factor -3*q**2/2 + 981*q/2 + 987.
-3*(q - 329)*(q + 2)/2
Factor 12*c**3 - 604*c**2 + 200*c.
4*c*(c - 50)*(3*c - 1)
Factor -135*w**2 - 265*w + 10.
-5*(w + 2)*(27*w - 1)
Find m, given that -3*m**2 - 111*m + 774 = 0.
-43, 6
Solve 5*b**2 - 80*b + 240 = 0 for b.
4, 12
Let 2*f**4 + 6*f**3 - 2*f**2 - 6*f = 0. Calculate f.
-3, -1, 0, 1
Determine r so that 4*r**3 - 924*r**2 + 71148*r - 1826132 = 0.
77
Factor -3*a**3 + 90*a**2 + 93*a.
-3*a*(a - 31)*(a + 1)
Factor -5*k**2 - 95*k + 330.
-5*(k - 3)*(k + 22)
Factor -k**2 + 42*k + 43.
-(k - 43)*(k + 1)
Let 6*z**4/5 + 1708*z**3/5 + 24424*z**2 + 80656*z/5 = 0. What is z?
-142, -2/3, 0
Solve -30*b**3 + 176*b**2 - 126*b - 20 = 0 for b.
-2/15, 1, 5
Suppose n**2/2 + 52*n + 1352 = 0. Calculate n.
-52
Solve 2*w**4/9 - 62*w**3 + 554*w**2/9 + 62*w - 556/9 = 0 for w.
-1, 1, 278
Factor 4*x**3 - 41*x**2 - 34*x + 11.
(x - 11)*(x + 1)*(4*x - 1)
Let -v**5 - 3*v**4 - v**3 + 3*v**2 + 2*v = 0. What is v?
-2, -1, 0, 1
Determine t so that -9*t**4 - 3*t**3/2 + 6*t**2 - 3*t/2 = 0.
-1, 0, 1/3, 1/2
Determine o, given that -o**3/3 + 38*o**2/3 - 23*o - 36 = 0.
-1, 3, 36
Find i, given that 2*i**5 + 28*i**4/3 + 22*i**3/3 - 32*i**2/3 - 8*i = 0.
-3, -2, -2/3, 0, 1
Suppose -b**5/6 - 125*b**4/6 - 1281*b**3/2 + 1323*b**2/2 = 0. What is b?
-63, 0, 1
Factor -5*q**3 - 60*q**2 + 1575*q - 6370.
-5*(q - 7)**2*(q + 26)
Solve 3*h**5/5 + 27*h**4/5 + 87*h**3/5 + 117*h**2/5 + 54*h/5 = 0.
-3, -2, -1, 0
Solve m**3/2 + 1041*m**2/2 + 1558*m + 1038 = 0.
-1038, -2, -1
Let 4*c**3 + 36*c**2 + 80*c + 48 = 0. Calculate c.
-6, -2, -1
Suppose 4*z**2 + 84*z + 216 = 0. What is z?
-18, -3
Suppose 3*h**5/4 + 439*h**4/4 + 3081*h**3/4 + 3189*h**2/4 - 281*h - 417 = 0. Calculate h.
-139, -6, -1, 2/3
Factor -4*v**5 - 36*v**4 - 84*v**3 - 76*v**2 - 24*v.
-4*v*(v + 1)**3*(v + 6)
Suppose p**4 - 17*p**2 + 36*p - 20 = 0. Calculate p.
-5, 1, 2
Find x such that 4*x**4 + 216*x**3 + 1188*x**2 + 1728*x = 0.
-48, -3, 0
Determine t, given that 3*t**5/8 - 3*t**4/8 - 3*t**3/8 + 3*t**2/8 = 0.
-1, 0, 1
Factor x**5/3 - 5*x**4/3 - 3*x**3 + 13*x**2/3 + 28*x/3 + 4.
(x - 6)*(x - 2)*(x + 1)**3/3
Find v, given that 20*v**4 + 612*v**3 - 888*v**2 + 256*v = 0.
-32, 0, 2/5, 1
Suppose -845*n**4 + 2730*n**3 + 4360*n**2 - 7680*n + 2560 = 0. Calculate n.
-2, 8/13, 4
Factor 2*h**4/3 + 22*h**3/3 - 2*h**2/3 - 22*h/3.
2*h*(h - 1)*(h + 1)*(h + 11)/3
Let v**2/6 - 41*v/6 = 0. What is v?
0, 41
Factor 7*f**3/2 - 9*f**2/2 + f.
f*(f - 1)*(7*f - 2)/2
Factor -4*r**3 - 300*r**2 + 616*r.
-4*r*(r - 2)*(r + 77)
Factor 5*u**4/3 - 5*u**3 - 115*u**2/3 - 55*u - 70/3.
5*(u - 7)*(u + 1)**2*(u + 2)/3
Determine s so that -4*s**5 - 24*s**4 + 88*s**2 - 60*s = 0.
-5, -3, 0, 1
Suppose -j**4/5 - 56*j**3/5 - 107*j**2/5 + 56*j/5 + 108/5 = 0. Calculate j.
-54, -2, -1, 1
Suppose s**2/6 + 31*s + 2883/2 = 0. Calculate s.
-93
Determine b, given that 100*b**4 - 185*b**3 + 60*b**2 + 35*b - 10 = 0.
-2/5, 1/4, 1
Factor -5*y**2 - 1380*y - 95220.
-5*(y + 138)**2
Factor -4*t**3 - 92*t**2 - 304*t.
-4*t*(t + 4)*(t + 19)
Factor -3*z**3/7 + 93*z**2/7 + 1818*z/7 + 3240/7.
-3*(z - 45)*(z + 2)*(z + 12)/7
Suppose u**5/8 - 307*u**4/8 + 27607*u**3/8 - 622777*u**2/8 + 547799*u - 946729/2 = 0. What is u?
1, 14, 139
Solve 44*y**2/3 + 196*y/3 + 64 = 0 for y.
-3, -16/11
Find s, given that -5*s**5 + 20*s**4 + 390*s**3 - 1420*s**2 - 4865*s + 5880 = 0.
-8, -3, 1, 7
Factor -5*o**2 - 200*o - 2000.
-5*(o + 20)**2
Factor -2*y**4/7 + 52*y**3/7 - 30*y**2.
-2*y**2*(y - 21)*(y - 5)/7
Factor -242*n**3/3 + 10076*n**2/3 + 3688*n/3 + 112.
-2*(n - 42)*(11*n + 2)**2/3
Let 2*z**4/11 + 192*z**3/11 - 802*z**2/11 - 192*z/11 + 800/11 = 0. What is z?
-100, -1, 1, 4
Factor k**2 + 185*k - 186.
(k - 1)*(k + 186)
Factor -3*i**2/5 + 138*i/5 + 441/5.
-3*(i - 49)*(i + 3)/5
Factor -196*t**3 - 280*t**2 + 208*t - 32.
-4*(t + 2)*(7*t - 2)**2
Suppose 2*c**3/19 - 2*c**2/19 - 28*c/19 + 48/19 = 0. What is c?
-4, 2, 3
Factor 4*o**2/5 - 24*o + 224/5.
4*(o - 28)*(o - 2)/5
Factor -5*b**2 - 44480*b - 98923520.
-5*(b + 4448)**2
Determine v, given that -3*v**3/2 + 21*v**2/2 + 15*v - 24 = 0.
-2, 1, 8
Factor 5*m**5/3 + 50*m**4/3 + 200*m**3/3 + 400*m**2/3 + 400*m/3 + 160/3.
5*(m + 2)**5/3
Factor 1922*x**3/7 + 4092*x**2/7 + 72*x + 16/7.
2*(x + 2)*(31*x + 2)**2/7
Suppose 16*c**5 + 28*c**4 - 584*c**3 - 2448*c**2 - 2376*c + 756 = 0. Calculate c.
-3, 1/4, 7
Let -2*i**4/9 + 452*i**3/9 + 152*i**2 + 1372*i/9 + 458/9 = 0. Calculate i.
-1, 229
Let 2*l**4/17 + 10*l**3/17 = 0. What is l?
-5, 0
Let -3*k**2 - 714*k - 42483 = 0. Calculate k.
-119
Solve 2*b**2/5 + 98*b = 0 for b.
-245, 0
Find y, given that 2*y**2/15 - 18*y/5 + 48/5 = 0.
3, 24
Solve -5*g**3 - 295*g**2 - 1850*g - 1560 = 0 for g.
-52, -6, -1
Determine l so that 25*l**3 - 285*l**2 + 360*l - 100 = 0.
2/5, 1, 10
Factor -3*n**3 + 30*n**2 - 48*n.
-3*n*(n - 8)*(n - 2)
Factor 5*t**5 + 5*t**4 - 15*t**3 - 25*t**2 - 10*t.
5*t*(t - 2)*(t + 1)**3
Let -5*d**2 - 447*d - 178 = 0. Calculate d.
-89, -2/5
Factor -2*d**5/7 - 260*d**4/7 + 152*d**3 - 1072*d**2/7.
-2*d**2*(d - 2)**2*(d + 134)/7
Factor y**3/3 + 98*y**2/3 - 404*y/3 + 136.
(y - 2)**2*(y + 102)/3
Factor 26*k**2 + 256*k - 40.
2*(k + 10)*(13*k - 2)
Determine o so that o**4/2 - o**3/2 - 3*o**2/2 + 5*o/2 - 1 = 0.
-2, 1
Factor v**3/2 - 2*v**2 - 5*v/2.
v*(v - 5)*(v + 1)/2
What is o in o**3/4 + | {
"pile_set_name": "DM Mathematics"
} |
+ i**2
Let y(o) = o**2 - 2*o + 2. Let w be y(2). Suppose -2*f - 6 = -r - 0*r, 0 = w*r - f - 24. Let z(c) = -c + 2. Let t(n) = 3*n - 7. Determine r*z(g) + 4*t(g).
-2*g
Let h(b) = b**3 + 3*b**2 + 3*b. Let r(g) = -g**3 - 7*g**2 - 7*g. What is -14*h(m) - 6*r(m)?
-8*m**3
Let f(a) = -a. Let d(m) be the third derivative of -m**4/24 + m**3/6 + 18*m**2. Let k(i) = 2*i + 1. Let u be k(1). Give u*f(r) - 2*d(r).
-r - 2
Let z(u) = -u**3 + 7*u + 2. Suppose 0 = -2*w - 6. Let r = 3 + w. Let g(n) = -2 + 1 + r*n**3 - 4*n + n**3. Give 5*g(d) + 3*z(d).
2*d**3 + d + 1
Let p(i) = -i**2 - i. Let m(d) be the second derivative of -5*d**4/12 - d**3 - d**2/2 - d. Let b = -17 - -28. What is b*p(g) - 2*m(g)?
-g**2 + g + 2
Let k(i) = i. Let z(l) = 2*l**3 + 2*l**2 + 6*l. Suppose -29 = 4*b - 5*a, -b - a + 2 + 2 = 0. Determine b*z(c) + 5*k(c).
-2*c**3 - 2*c**2 - c
Let f(r) = -r + 1. Let l(h) = h**2 - 1. Let y(b) = -b**2 + b - 1. Let x(o) = l(o) + 2*y(o). What is -5*f(j) - 2*x(j)?
2*j**2 + j + 1
Let f(s) = 29*s**2 + 33*s**2 - 56*s**2. Let z(r) = -2*r**2. What is -6*f(x) - 20*z(x)?
4*x**2
Let o(d) be the first derivative of -d**3/3 - d**2/2 - d - 1. Let l(c) = 5*c**2 + 3*c + 3. Let v = 85 - 88. Calculate v*o(m) - l(m).
-2*m**2
Let v(d) = -4*d - 2. Let s(g) = 9*g + 4. Let y(j) = -j - 2. Let w be y(-4). Determine w*s(b) + 5*v(b).
-2*b - 2
Let g(w) = -w**2 + 7*w - 6. Let b(c) = c**2 - 7*c + 7. Calculate -6*b(v) - 7*g(v).
v**2 - 7*v
Let j(m) = m. Let o(h) = 3*h - 2. Let l(r) = 7*r - 5. Let u(f) = -4*l(f) + 10*o(f). Calculate 9*j(g) - 4*u(g).
g
Let d(s) = -41*s + 9. Let r(a) = 62*a - 13. Give -7*d(y) - 5*r(y).
-23*y + 2
Let j(w) = 3*w. Let u(i) = 3*i + 1. What is 5*j(m) - 4*u(m)?
3*m - 4
Let g(u) = 2*u. Suppose -5*v = -3*p - p + 1, -4*v = -3*p. Let j = 7 + v. Let m be ((-68)/10)/(2/j). Let d(q) = 11*q. Give m*g(b) + 6*d(b).
-2*b
Let y(w) = -6*w**3 - 2*w**2 - 5*w + 5. Let k(h) = -h**3 - h + 1. Let g(x) = 2*x**3 - 24*x**2 - x + 11. Let u be g(12). Calculate u*y(n) + 5*k(n).
n**3 + 2*n**2
Let r(n) = 2*n - 3. Let a(l) = -l + 2. Let z = 38 - 43. Give z*r(u) - 8*a(u).
-2*u - 1
Let k(w) = -5*w + 2. Let a(o) = o**3 - 21*o**2 + 19*o + 5. Let v be a(20). Let c(d) = 36*d - 15. Give v*k(z) - 2*c(z).
3*z
Let a(u) = u - 7. Let i(m) = -5 + 1 - 8 + 2*m + 1. Calculate 8*a(v) - 5*i(v).
-2*v - 1
Let z(p) = -p**2 + 4. Let g(c) be the second derivative of -3*c**2/2 - 22*c - 1. Suppose -3*t - 16 = -4*j + 12, 4*j = t + 20. Determine j*g(v) + 3*z(v).
-3*v**2
Let l(o) = -4*o**2 + 5*o + 2. Let n(p) = 4*p**2 - 4*p - 1. Give -2*l(y) - 3*n(y).
-4*y**2 + 2*y - 1
Let v(q) = -15*q + 21. Let l(i) = -4*i + 5. Give 9*l(x) - 2*v(x).
-6*x + 3
Let q(n) = -n + 1. Let m(b) = 2*b - 1. Give -m(v) + q(v).
-3*v + 2
Let o(a) = -a**2. Let i(r) = 5*r**2 + r + 1. Determine 2*i(b) + 11*o(b).
-b**2 + 2*b + 2
Let m be 6/(-8) - (-15)/(-12). Let a(w) = -w**2. Let x(r) be the third derivative of r**3/6 + 3*r**2. Calculate m*x(f) + a(f).
-f**2 - 2
Let s(u) = 102*u**2 - 17*u + 17. Let w(p) = 29*p**2 - 5*p + 5. Give 5*s(z) - 17*w(z).
17*z**2
Let s(h) = 23*h**2 + 5*h - 6. Let o(d) = 8*d**2 + 2*d - 2. Let u(r) = 11*o(r) - 4*s(r). Let q(y) = y**2 - y - 1. Give -2*q(l) - u(l).
2*l**2
Let r(i) = i**2 - 2*i - 7. Let d be r(4). Let g(l) = l**2 - 1. Let b(x) = 3*x**2 + x + 1. Determine d*b(a) - g(a).
2*a**2 + a + 2
Let v(d) = -7*d - 13 - 4 + 8. Let w(r) = -3*r - 4. Calculate 2*v(z) - 5*w(z).
z + 2
Let c(d) = -5*d - 7*d**3 + 5*d**2 - 3*d + 5*d + 0*d**2 - 3. Let i(b) = -22*b**3 + 16*b**2 - 10*b - 10. What is 10*c(q) - 3*i(q)?
-4*q**3 + 2*q**2
Let f = -2 + 3. Let x(h) = 3*h**3 + 4*h**2 + 4. Let a(g) = 2*g**2 + 0 + 4*g**2 + g**3 + 1 - 5*g**2. Let p be 24/20*20/(-6). Determine f*x(w) + p*a(w).
-w**3
Let o be (-14 - -1) + (2 - 2). Let v(q) = -9*q + 13. Let p = 10 - 5. Let z(n) = -p*n + 5 - 3*n + 1 + 4*n. Give o*z(k) + 6*v(k).
-2*k
Let v(j) = 2 - j**2 + 4 - 6. Suppose 5*y - y - 24 = 4*c, y + 2 = 5*c. Suppose -x - y = 3*x. Let m(a) = -a**2. What is x*v(u) + 3*m(u)?
-u**2
Let u(h) = 1. Let d be 14/21*(1 - (-2 + 0)). Let s be (4/(-6))/(2/12). Let j be s + d + 0 + 0. Let z(o) = o**2 - 1. Determine j*z(p) - 2*u(p).
-2*p**2
Let h(c) = c + 11. Let o(q) = q + 6. Calculate -6*h(s) + 11*o(s).
5*s
Let q(g) = -16*g**2 + 7*g + 3. Let l be 0 + 2 + -2 - 2. Let p(z) = 5*z**2 - 2*z - 1. Calculate l*q(y) - 7*p(y).
-3*y**2 + 1
Let w(c) = 1. Let x(b) = -4*b + 2. What is -2*w(l) + x(l)?
-4*l
Let l(a) = -a + 1. Suppose -3*k = -0*c - 3*c, -2*c - 9 = -5*k. Let t(y) = 1 + y + 0*y + 0 - c*y. Give 3*l(o) - t(o).
-o + 2
Let t(l) = 336*l + 49. Let k(p) = -14*p - 2. What is 49*k(q) + 2*t(q)?
-14*q
Let f(h) = 17*h**3 + 3*h. Let l(a) = 6*a**3 + a. Suppose 6*j = j + 205. Suppose -24 = -3*k - 2*m + 1, 3*k = 2*m + j. Determine k*l(d) - 4*f(d).
-2*d**3 - d
Let s(y) = 4*y**2 + 3*y + 1. Let m be 20/4 + (1 - 1). Let u = 16 + -14. Let g(v) = -9*v**2 - 7*v - 3. Give m*s(c) + u*g(c).
2*c**2 + c - 1
Let u(w) = w - 1. Let i(f) = 7*f**2 + 1 - 2*f - 5*f**2 + 0*f**2. Determine -i(r) - 3*u(r).
-2*r**2 - r + 2
Let a(i) = 4*i**3 + 3*i + 3. Let q(s) = 5*s**3 + 4*s + 4. Let u be -1 - -2*3/(-2). Let w(b) = -b**2 + 10*b - 13. Let y be w(8). Determine u*a(h) + y*q(h).
-h**3
Let y(v) = 9*v**2 - 54. Let j(t) = -2. Give -54*j(b) + 2*y(b).
18*b**2
Let p(q) = -5*q + 4. Suppose 0 = k + 5*w + 19, -3*k + w - 2*w = -13. Let z(n) = 4*n - 3. Give k*z(h) + 5*p(h).
-h + 2
Let a(v) = -6*v**2 + v + 5. Let x(b) = 13*b**2 - 2*b - 11. Let j be 6/(2/6*2). What is j*a(g) + 4*x(g)?
-2*g**2 + g + 1
Let k(m) = -m**2. Suppose 0 = -5*w - 5*v + v + 24, 8 = 3*w + 4*v. Let p(g) = 2. Let n(h) = h**2 + 3. Let r(f) = -6*n(f) + 10*p(f). Determine w*k(a) - r(a).
-2*a**2 - 2
Let f(c) = 2*c + 1. Let t(d) = -5*d - 3. What is -8*f(a) - 3*t(a)?
-a + 1
Let g(q) = 5*q - 2. Let j(p) = 2*p - 1. Determine 6*g(y) - 17*j(y).
-4*y + 5
Let x(y) = 24*y**3 - 2*y**2 - 2*y. Let a(q) = 767*q**3 - 65*q**2 - 65*q. Determine 4*a(k) - 130*x(k).
-52*k**3
Let b(r) = 2*r**2 + r - 4. Let w(q) = -2 + 0 + 4 - 3. What is -b(o) + 5*w(o)?
-2*o**2 - o - 1
Suppose 0 = 17*n - 15*n - 4. Let b(s) = -2*s**3 + 2*s**2 - 2*s + 2. Let f(v) = 8*v**3 - 9*v**2 + 9*v - 8. Calculate n*f(g) + 9*b(g).
-2*g**3 + 2
Let m(h) = h**2 - h - 1. Let p be 5/3 - (-2)/6. Let k(v) = 6 + v**2 - 2*v + v**3 - 6. Calculate p*m(y) - k(y).
-y**3 + y**2 - 2
Let v(t) = 5 + 6 - 3*t - 17*t. Let o be 65/(-4) - 12/16. Let b(f) = -7*f + 4. Calculate o*b(x) + 6*v(x).
-x - 2
Let w(g) = -g**3 + 3*g + 3. Let s(u) = -6*u**3 + 16*u + 16. Let n = -56 + 40. Suppose -6*l = -l - 15. Determine l*s(a) + n*w(a).
-2*a**3
Let r(m) = -3*m**2 - 3. Let q = -137 + 123. Let d(j) = -16*j**2 - 14. What is q*r(z) + 3*d(z)?
-6*z**2
Let q(h) = -7*h + 1. Let u(i) = 6*i - 2. What is -4*q(l) - 3*u(l)?
10*l + 2
Let m be (6/4)/(-3)*-12. Let a(p) = -16*p. Let u(q) = 5*q. Let t(r) = 3*a(r) + 10*u(r). Let y(v) = -7*v. Calculate m*y(x) + 22*t(x).
2*x
Let z(b) = -3*b**2 - b - 5. Let k(m) = -m**2 - 1. Give 4*k(j) - z(j).
-j**2 + j + 1
Let j(g) = 5*g. Let c(w) = 4*w + 1. Calculate -4*c(b) + 3*j(b).
-b - 4
Let y(h) = 3*h + 13 + 6*h**3 - 2*h**3 - h**2 - 14. Let m(g) = g**3 + g - 1. Calculate -3*m(s) + y(s).
s**3 - s**2 + 2
Let a = 18 + -16. Let n(u) = 2*u - 5*u + a*u. Let g(z) = z**2 - 6*z + 1. Calculate -g(c) + 5*n(c).
-c**2 + c - 1
Let o(r) = 40*r**2 - 45. Let z(m) = -m**2 + 1. Determine 2*o(f) + 90*z(f).
-10*f**2
Let w(o) = 12*o**3 + 3 - 3*o**3 + 8 - 11*o - 11*o**2. Let n(f) = -5*f**3 + 6*f**2 + 6*f - 6. Let c be ((-6)/(-7))/((-3)/21). Determine c*w(r) - 11*n(r).
r**3
Let q be 0 + 1/(-1)*-4. Let c(l) = -l + 0 - 2 - 8 + 7. Let a(o) = o + 4. Calculate q*a(f) + 5*c(f).
-f + 1
Let y(t) be the first derivative of t**2/2 + 4. Let o(g) = -2*g - g + 2*g. Calculate -4*o(m) - 3*y(m).
m
Let p(v) = -3*v**3 + 5*v**2 - 2*v - 5. Let m(j) = -2*j**3 + 4*j**2 - 2*j - 4. Give 5*m(r) - 4*p(r).
2*r**3 - 2*r
Let o(c) = 5*c - 6. Let f(t) = -t - 10. Let q(y) = 2*y + 11. Let l(j) = -6*f(j) - 5*q(j). Give -6*l(s) - 5*o(s).
-s
Let p be 0 - 5 - (-11 + -8 + 16). Let q(z) = z. Let l(o) be the first derivative of -5*o**2/2 + o - 1. Give p*l(k) - 11*q(k).
-k - 2
Let u(t) = -3*t - 17. Let b(c) = c + 9. Give 9*b(x) + 4*u(x).
-3*x + 13
Let h(u) = -9*u**3 + 3*u - 6. Let f(q) = 10*q**3 - 3*q + 7. What is 6*f(v) + 7*h(v)?
-3*v**3 + 3*v
Let r(y) = 3*y**2 + 2*y. Let l(w) = -2*w**2 | {
"pile_set_name": "DM Mathematics"
} |
termine y, given that -3*y**4 - 27*y**3 - 6*y**2 + 252*y - 216 = 0.
-6, 1, 2
Solve -5*r**3 + 1105*r**2 - 61600*r + 60500 = 0 for r.
1, 110
Factor -2*h**5/17 + 4*h**4/17 - 4*h**2/17 + 2*h/17.
-2*h*(h - 1)**3*(h + 1)/17
Let -2*o**5/3 + 4*o**4 - 8*o**3 + 16*o**2/3 = 0. Calculate o.
0, 2
Determine u so that 2*u**4/19 - 4*u**3/19 - 24*u**2/19 + 80*u/19 - 64/19 = 0.
-4, 2
Factor -x**3/2 + 5*x**2 + 53*x/2 + 21.
-(x - 14)*(x + 1)*(x + 3)/2
Factor 3*y**3 + 54*y**2 - 873*y - 924.
3*(y - 11)*(y + 1)*(y + 28)
Find v such that 22*v**5 - 26*v**4 - 14*v**3 + 18*v**2 = 0.
-9/11, 0, 1
Solve -2*b**2 + 206*b + 208 = 0 for b.
-1, 104
Find a such that -2*a**4/9 - 328*a**3/9 + 1004*a**2/9 + 328*a/9 - 334/3 = 0.
-167, -1, 1, 3
Determine w so that 3*w**2/2 - 1800*w + 540000 = 0.
600
Factor -3*a**5 - 129*a**4 - 912*a**3 - 2616*a**2 - 3408*a - 1680.
-3*(a + 2)**4*(a + 35)
Factor -f**2 - 115*f - 550.
-(f + 5)*(f + 110)
Suppose 3*t**5/2 + 24*t**4 + 153*t**3/2 + 54*t**2 = 0. Calculate t.
-12, -3, -1, 0
Factor 4*f**2 + 84*f - 288.
4*(f - 3)*(f + 24)
Find t such that -t**4/2 + 215*t**3 - 43573*t**2/2 - 285090*t - 879138 = 0.
-6, 221
Suppose h**2/4 - 271*h/4 + 267 = 0. Calculate h.
4, 267
Solve 12*a**4 + 86*a**3 + 84*a**2 - 2*a - 12 = 0.
-6, -1, -1/2, 1/3
Let -2*k**4/3 - 8*k**3/3 + 26*k**2/3 + 8*k/3 - 8 = 0. Calculate k.
-6, -1, 1, 2
Factor -3*j**2/7 - 7848*j/7 - 5132592/7.
-3*(j + 1308)**2/7
Solve r**5/3 - 30*r**4 + 835*r**3 - 22060*r**2/3 + 26000*r - 32448 = 0.
4, 39
Determine u, given that -u**2/2 + 354*u + 709/2 = 0.
-1, 709
What is s in 3*s**2 + 282*s + 279 = 0?
-93, -1
Determine s so that 3*s**4/2 - 3*s**3 - 219*s**2/2 - 105*s = 0.
-7, -1, 0, 10
Solve -2*o**2/11 - 34*o/11 + 120/11 = 0 for o.
-20, 3
Factor -5*y**5 + 90*y**3 - 405*y.
-5*y*(y - 3)**2*(y + 3)**2
Suppose -3*l**4 - 27*l**3 - 66*l**2 + 96 = 0. What is l?
-4, -2, 1
Find x, given that -21*x**4 + 300*x**3 - 357*x**2 + 78*x = 0.
0, 2/7, 1, 13
Factor -3*b**2 - 372*b + 375.
-3*(b - 1)*(b + 125)
Find t, given that -t**2 + 173*t = 0.
0, 173
Solve -4*t**2 - 464*t = 0.
-116, 0
Solve -p**5/4 - 11*p**4/2 - 121*p**3/4 = 0.
-11, 0
Factor 4*z**5/3 + 500*z**4/3 + 488*z**3.
4*z**3*(z + 3)*(z + 122)/3
Determine f, given that -f**2/10 + 21*f/2 - 558/5 = 0.
12, 93
Find s, given that -15*s**5 + 33*s**4/7 + 30*s**3/7 = 0.
-2/5, 0, 5/7
Determine p, given that 2*p**2 + 464*p + 462 = 0.
-231, -1
Factor 2*k**2/3 + 14*k - 92/3.
2*(k - 2)*(k + 23)/3
Factor 3*r**4/2 + 189*r**3/2 - 294*r**2 + 198*r.
3*r*(r - 2)*(r - 1)*(r + 66)/2
Factor 3*r**2/7 - 12*r - 1140/7.
3*(r - 38)*(r + 10)/7
Factor 4*v**5 - 28*v**3 + 24*v**2.
4*v**2*(v - 2)*(v - 1)*(v + 3)
Solve -a**5 - 287*a**4 - 26458*a**3 - 683694*a**2 + 8967915*a - 24257475 = 0 for a.
-99, 5
Suppose -3*l**2 - 45*l + 2442 = 0. What is l?
-37, 22
What is i in i**4/4 + 3*i**3 + 45*i**2/4 + 29*i/2 + 6 = 0?
-6, -4, -1
Determine n so that n**3/5 + 84*n**2 + 11760*n + 548800 = 0.
-140
What is z in -12*z**3 - 9*z**2 + 27*z - 6 = 0?
-2, 1/4, 1
What is m in -5*m**5 - 5*m**4 + 50*m**3 - 40*m**2 = 0?
-4, 0, 1, 2
Factor -18*g**3 + 68*g**2 + 16*g.
-2*g*(g - 4)*(9*g + 2)
Find u such that -4*u**2/5 + 24*u/5 + 44 = 0.
-5, 11
Factor 3*f**4 + 186*f**3 + 1611*f**2 + 2676*f + 1248.
3*(f + 1)**2*(f + 8)*(f + 52)
Factor -3*r**4/5 + 192*r**3/5 - 3258*r**2/5 + 5952*r/5 - 2883/5.
-3*(r - 31)**2*(r - 1)**2/5
Factor 9*w**5/5 - 12*w**4/5 + 3*w**3/5.
3*w**3*(w - 1)*(3*w - 1)/5
Factor -2*p**4 + 8*p**3 - 10*p**2 + 4*p.
-2*p*(p - 2)*(p - 1)**2
Factor -h**3/3 - 10*h**2/9 - h/3.
-h*(h + 3)*(3*h + 1)/9
Find j, given that 4*j**4 + 640*j**3 + 24288*j**2 - 104960*j + 107584 = 0.
-82, 2
Factor -3*f**3 + 60*f**2 + 81*f - 378.
-3*(f - 21)*(f - 2)*(f + 3)
Determine t, given that 2*t**5 + 24*t**4 + 84*t**3 + 40*t**2 - 150*t = 0.
-5, -3, 0, 1
Factor 4*n**3 + 100*n**2 + 492*n + 684.
4*(n + 3)**2*(n + 19)
Let 3*h**4/2 - 57*h**3/4 - 42*h**2 - 141*h/4 - 9 = 0. Calculate h.
-1, -1/2, 12
Factor 2*m**4/5 - 22*m**3/5 - 8*m**2/5 + 88*m/5.
2*m*(m - 11)*(m - 2)*(m + 2)/5
Determine l so that 2*l**5 - 96*l**4 + 186*l**3 - 92*l**2 = 0.
0, 1, 46
Suppose -k**2 - 2*k + 35 = 0. What is k?
-7, 5
Factor -2*s**3 + 27*s**2 + 47*s - 30.
-(s - 15)*(s + 2)*(2*s - 1)
Let q**3/8 - q**2/2 + 5*q/8 - 1/4 = 0. What is q?
1, 2
Suppose -2*f**2 + 3772*f - 1778498 = 0. Calculate f.
943
Suppose 33*v**3/7 - 15*v**2/7 - 18*v/7 = 0. What is v?
-6/11, 0, 1
Factor -5*n**2/2 + 85*n/2 - 105.
-5*(n - 14)*(n - 3)/2
Factor -2*o**2/7 - 48*o/7 - 216/7.
-2*(o + 6)*(o + 18)/7
Factor 2*g**2 + 5068*g + 3210578.
2*(g + 1267)**2
Factor 65*s**3 - 848*s**2 + 37*s + 26.
(s - 13)*(5*s - 1)*(13*s + 2)
Determine b so that b**3 + 10*b**2 + 28*b + 24 = 0.
-6, -2
Factor -2*v**3/11 - 122*v**2/11 - 1920*v/11 - 1800/11.
-2*(v + 1)*(v + 30)**2/11
Let -b**4/3 + 2*b**3 - 8*b**2/3 = 0. Calculate b.
0, 2, 4
Factor t**2/3 + 20*t/3 + 100/3.
(t + 10)**2/3
Factor -5*x**3 - 135*x**2 + 5*x + 135.
-5*(x - 1)*(x + 1)*(x + 27)
Suppose f**2/3 - 37*f/3 - 38/3 = 0. Calculate f.
-1, 38
Find s, given that s**4/9 - 163*s**3/9 - 55*s**2/3 + 163*s/9 + 164/9 = 0.
-1, 1, 164
Factor 2*j**2 - 42*j + 180.
2*(j - 15)*(j - 6)
Factor 3*m**3/2 - 63*m**2 + 1251*m/2 + 690.
3*(m - 23)*(m - 20)*(m + 1)/2
Factor -y**5/3 - 63*y**4 + 190*y**3/3.
-y**3*(y - 1)*(y + 190)/3
Suppose -2*t**3/9 - 550*t**2/3 + 1102*t/3 - 1654/9 = 0. Calculate t.
-827, 1
Let -3*s**4 - 252*s**3 - 738*s**2 - 732*s - 243 = 0. What is s?
-81, -1
Suppose b**5/2 + 134*b**4 + 399*b**3 + 398*b**2 + 265*b/2 = 0. Calculate b.
-265, -1, 0
Suppose -44*z**5 + 226*z**4/3 - 338*z**3/9 + 58*z**2/9 - 2*z/9 = 0. What is z?
0, 1/22, 1/3, 1
Factor s**4/7 - 32*s**3/7 - 47*s**2 + 360*s/7.
s*(s - 40)*(s - 1)*(s + 9)/7
Factor 2*d**5/7 - 94*d**4/7 + 270*d**3/7 - 38*d**2 + 88*d/7.
2*d*(d - 44)*(d - 1)**3/7
Factor -j**2/5 + 76*j/5 - 15.
-(j - 75)*(j - 1)/5
Solve 2*w**4/9 + 4*w**3/3 + 2*w**2/9 - 16*w/3 + 32/9 = 0 for w.
-4, 1
What is m in m**2/7 + 498*m/7 + 71 = 0?
-497, -1
Let m**2/2 - 21*m + 76 = 0. What is m?
4, 38
Solve -3*v**3/5 + 74*v**2/5 - 96*v + 288/5 = 0 for v.
2/3, 12
Solve b**5/6 - 2*b**4/3 - 11*b**3/6 - b**2 = 0 for b.
-1, 0, 6
Factor -4*w**4/7 - 20*w**3/7 - 4*w**2 - 12*w/7.
-4*w*(w + 1)**2*(w + 3)/7
Factor 4*l**5 + 16*l**4 + 8*l**3 - 16*l**2 - 12*l.
4*l*(l - 1)*(l + 1)**2*(l + 3)
Factor -5*c**3 + 435*c**2 - 400*c - 2580.
-5*(c - 86)*(c - 3)*(c + 2)
Factor 3*p**5 + 21*p**4 - 54*p**3 + 6*p**2 + 51*p - 27.
3*(p - 1)**3*(p + 1)*(p + 9)
Suppose f**3/3 + 3*f**2 + 9*f + 9 = 0. Calculate f.
-3
Find n, given that 2*n**3/3 + 28*n**2 + 234*n + 620/3 = 0.
-31, -10, -1
Find m, given that -m**4/3 + 2*m**3/9 + 4*m**2/9 - 2*m/9 - 1/9 = 0.
-1, -1/3, 1
Let -4*t**5 - 86*t**4 - 198*t**3 - 154*t**2 - 38*t = 0. What is t?
-19, -1, -1/2, 0
Factor 5*j**2 - 10090*j.
5*j*(j - 2018)
Factor 7*p**3 - 30*p**2 + 8*p.
p*(p - 4)*(7*p - 2)
Find k such that k**4/7 + 145*k**3/7 + 5469*k**2/7 + 2201*k + 10082/7 = 0.
-71, -2, -1
Solve 5*w**5/3 + 5*w**4/3 - 20*w**3 - 140*w**2/3 - 80*w/3 = 0.
-2, -1, 0, 4
Factor -14*b**4 - 66*b**3 - 64*b**2 + 24*b.
-2*b*(b + 2)*(b + 3)*(7*b - 2)
Let n**4/2 - n**3/2 - 27*n**2/2 - 27*n/2 + 27 = 0. What is n?
-3, 1, 6
Factor -3*f**3 - 72*f**2 - 576*f - 1536.
-3*(f + 8)**3
Factor -t**4 - 11*t**3.
-t**3*(t + 11)
Determine t, given that 3*t**3/2 - 597*t**2/2 + 36465*t/2 - 628575/2 = 0.
29, 85
Solve -4*r**4 - 124*r**3 - 1432*r**2 - 7296*r - 13824 = 0.
-9, -8, -6
Factor 21*k**3/2 + 1032*k**2 + 294*k.
3*k*(k + 98)*(7*k + 2)/2
Find f such that -35*f**3 + 1481*f**2 - 456*f - 252 = 0.
-2/7, 3/5, 42
Factor -2*c**2 - 2540*c + 2542.
-2*(c - 1)*(c + 1271)
Solve -2*k**5/3 + 66*k**4 - 2178*k**3 + 23958*k**2 = 0.
0, 33
Determine a, given that -5*a**5 + 80*a**4 - 290*a**3 + 140*a**2 + 295*a - 220 = 0.
-1, 1, 4, 11
Factor -18*v**3 + 38*v**2 - 4*v.
-2*v*(v - 2)*(9*v - 1)
Find b, given that b**3/8 + 27*b**2/2 - 565*b/8 = 0.
-113, 0, 5
Determine u, given that 6*u**5/5 - 15*u**4 - 561*u**3/5 + 1761*u**2/5 - 417*u/5 - 714/5 = 0.
-7, -1/2, 1, 2, 17
What is i in -2*i**3 - 36*i**2 - 34*i = 0?
-17, -1, 0
Factor 4*a**2 + 80*a - 624.
4*(a - 6)*(a + 26)
Find a such that -45*a**5 - 12*a**4 + 187*a**3 + 50*a**2 - 28*a - 8 = 0.
-2, -1/3, 2/5, 2
Factor -2*i**2 + 7124*i - 6343922.
-2*(i - 1781)**2
Determine n so that -4*n**2 - 3176*n - 630436 = 0.
-397
Factor -9*o**2 - 2364*o - 1572.
-3*(o + 262)*(3*o + 2)
Factor - | {
"pile_set_name": "DM Mathematics"
} |
nearest integer?
-30
Round 256.98 to the nearest ten.
260
What is -0.000003619 rounded to 6 dps?
-0.000004
Round -1104700 to the nearest one hundred thousand.
-1100000
What is -66000 rounded to the nearest 100000?
-100000
Round 0.624 to two decimal places.
0.62
Round -0.000020844 to 6 decimal places.
-0.000021
Round -114.4 to the nearest 10.
-110
What is -0.00002305 rounded to 5 dps?
-0.00002
What is -0.00015464 rounded to five dps?
-0.00015
Round -0.00047579 to four dps.
-0.0005
Round 0.000061031 to 7 dps.
0.000061
What is 59190000 rounded to the nearest 1000000?
59000000
What is -46010000 rounded to the nearest 1000000?
-46000000
Round 2416.5 to the nearest ten.
2420
Round 30490000 to the nearest 1000000.
30000000
Round 0.0061722 to four decimal places.
0.0062
What is 75997 rounded to the nearest one hundred?
76000
What is 0.10029 rounded to 2 dps?
0.1
What is 13.41 rounded to 1 dp?
13.4
What is -0.00036554 rounded to six decimal places?
-0.000366
Round 0.1433 to two decimal places.
0.14
What is -91490 rounded to the nearest 10000?
-90000
Round 0.00408 to four dps.
0.0041
Round 0.0079508 to four decimal places.
0.008
What is -27000 rounded to the nearest ten thousand?
-30000
What is -426.9 rounded to the nearest ten?
-430
Round -0.091657 to 2 decimal places.
-0.09
Round 0.854 to two dps.
0.85
What is -0.00021135 rounded to six dps?
-0.000211
Round -40700 to the nearest ten thousand.
-40000
What is -0.01379 rounded to 3 dps?
-0.014
What is -0.0008923 rounded to five decimal places?
-0.00089
Round 38292.2 to the nearest one hundred.
38300
What is 0.002247 rounded to four decimal places?
0.0022
Round -0.18866 to 3 dps.
-0.189
What is -0.0000705 rounded to six dps?
-0.000071
What is 106600 rounded to the nearest one hundred thousand?
100000
What is 0.00009619 rounded to 6 decimal places?
0.000096
What is 0.0016065 rounded to four dps?
0.0016
What is -48.29 rounded to zero decimal places?
-48
Round 0.00637 to three decimal places.
0.006
What is -3454 rounded to the nearest one thousand?
-3000
What is -0.0000022844 rounded to 6 dps?
-0.000002
What is -5126000 rounded to the nearest 100000?
-5100000
Round 93110 to the nearest one hundred thousand.
100000
What is -1.4579 rounded to 2 dps?
-1.46
Round -0.00020353 to 6 dps.
-0.000204
Round 0.054191 to three dps.
0.054
What is 52550 rounded to the nearest one thousand?
53000
What is 0.108 rounded to 2 dps?
0.11
Round -0.035421 to three dps.
-0.035
What is 449 rounded to the nearest one hundred?
400
What is 1851000 rounded to the nearest one hundred thousand?
1900000
What is -0.013448 rounded to four dps?
-0.0134
What is -409 rounded to the nearest one hundred?
-400
Round -29700 to the nearest ten thousand.
-30000
What is -741 rounded to the nearest 10?
-740
Round -0.000235257 to 5 decimal places.
-0.00024
What is 0.00034954 rounded to five dps?
0.00035
What is -0.000015449 rounded to five decimal places?
-0.00002
What is 0.0109301 rounded to 4 decimal places?
0.0109
What is 0.005683 rounded to 4 decimal places?
0.0057
Round -2223.14 to the nearest ten.
-2220
What is 0.00007545 rounded to six dps?
0.000075
Round -0.00000669 to 7 decimal places.
-0.0000067
Round 0.5956 to 2 dps.
0.6
What is -22882 rounded to the nearest one hundred?
-22900
Round -622.6 to the nearest one hundred.
-600
What is -133500 rounded to the nearest ten thousand?
-130000
What is 0.000012221 rounded to 6 decimal places?
0.000012
What is -0.0017081 rounded to five dps?
-0.00171
What is -0.0000000941 rounded to seven dps?
-0.0000001
Round -0.0054575 to four decimal places.
-0.0055
What is 0.032262 rounded to three dps?
0.032
What is -436000 rounded to the nearest 10000?
-440000
Round 0.00135 to 3 decimal places.
0.001
Round 303900 to the nearest 10000.
300000
What is 0.0001708 rounded to 6 decimal places?
0.000171
Round -0.00000070982 to seven dps.
-0.0000007
What is 9286 rounded to the nearest one thousand?
9000
Round -12960000 to the nearest one million.
-13000000
What is -400.7 rounded to the nearest ten?
-400
Round 0.0003164 to 5 decimal places.
0.00032
What is -0.1553 rounded to 1 dp?
-0.2
What is 0.0003811 rounded to 5 decimal places?
0.00038
What is -1306000 rounded to the nearest one million?
-1000000
What is -0.01542 rounded to three dps?
-0.015
Round 22680 to the nearest 100.
22700
What is 37328000 rounded to the nearest one million?
37000000
Round -0.000063168 to seven dps.
-0.0000632
What is -1050000 rounded to the nearest 100000?
-1100000
What is -755.7 rounded to the nearest ten?
-760
What is 0.000002066 rounded to five dps?
0
Round 9834 to the nearest 10000.
10000
What is -0.0001669 rounded to 5 dps?
-0.00017
Round -40.203 to the nearest integer.
-40
What is -0.057234 rounded to 2 dps?
-0.06
Round -5320 to the nearest 1000.
-5000
What is 5490000 rounded to the nearest 1000000?
5000000
What is 290600 rounded to the nearest ten thousand?
290000
What is 175 rounded to the nearest one hundred?
200
Round 0.0016198 to 5 decimal places.
0.00162
Round 125900000 to the nearest 1000000.
126000000
What is 76.826 rounded to the nearest 10?
80
What is -129020 rounded to the nearest 10000?
-130000
Round 2699 to the nearest one hundred.
2700
What is 964.4 rounded to the nearest 100?
1000
Round 2.8891 to the nearest integer.
3
What is -4480000 rounded to the nearest 100000?
-4500000
What is -0.000023957 rounded to 7 dps?
-0.000024
Round 0.0024452 to three decimal places.
0.002
What is -22710 rounded to the nearest 10000?
-20000
Round -0.0006955 to four dps.
-0.0007
Round -0.000003152 to 7 decimal places.
-0.0000032
Round 0.000307 to 5 decimal places.
0.00031
What is -0.000006097 rounded to six decimal places?
-0.000006
Round 37.4 to zero decimal places.
37
What is 0.00053765 rounded to five decimal places?
0.00054
What is -0.243043 rounded to three decimal places?
-0.243
What is -0.80773 rounded to two decimal places?
-0.81
What is 11.718 rounded to zero dps?
12
Round 0.0338 to 3 dps.
0.034
Round -0.000243007 to 6 decimal places.
-0.000243
Round -0.00145073 to 4 dps.
-0.0015
Round 18.162 to 0 decimal places.
18
Round 0.01099 to 3 decimal places.
0.011
Round -0.93644 to 2 dps.
-0.94
Round 0.00414 to three dps.
0.004
What is -641500 rounded to the nearest ten thousand?
-640000
Round -0.000003566 to seven decimal places.
-0.0000036
What is -2011000 rounded to the nearest one hundred thousand?
-2000000
What is 0.002414 rounded to four dps?
0.0024
What is -25780 rounded to the nearest one thousand?
-26000
What is 20230 rounded to the nearest ten thousand?
20000
Round 20570000 to the nearest 1000000.
21000000
What is 175270 rounded to the nearest 1000?
175000
What is 1.8848 rounded to two decimal places?
1.88
Round -0.00107895 to five dps.
-0.00108
What is 0.00000082 rounded to 5 decimal places?
0
What is -0.0004583 rounded to 5 decimal places?
-0.00046
Round 0.000000464 to seven decimal places.
0.0000005
What is -0.0000041806 rounded to seven dps?
-0.0000042
What is 0.000029472 rounded to 5 decimal places?
0.00003
What is -0.2685 rounded to 2 decimal places?
-0.27
Round 3740 to the nearest 100.
3700
Round -0.044074 to three decimal places.
-0.044
Round -2.50574 to 2 decimal places.
-2.51
Round -4550000 to the nearest 1000000.
-5000000
Round -801260 to the nearest 10000.
-800000
What is 0.00031295 rounded to 5 decimal places?
0.00031
Round 0.45488 to one dp.
0.5
Round -0.0633 to 2 dps.
-0.06
Round 0.0011498 to four decimal places.
0.0011
What is -847570 rounded to the nearest 10000?
-850000
What is 0.027823 rounded to 3 decimal places?
0.028
Round 166130 to the nearest 1000.
166000
Round -0.0078322 to three dps.
-0.008
Round -0.798 to two dps.
-0.8
Round -37.551 to the nearest ten.
-40
Round 650000 to the nearest 10000.
650000
What is -38.26 rounded to the nearest integer?
-38
Round -1.075 to zero decimal places.
-1
What is -0.0006296 rounded to five dps?
-0.00063
Round -0.000036994 to 7 dps.
-0.000037
Round 1.187 to one decimal place.
1.2
What is -160.19 rounded to the nearest 10?
-160
Round -9794800 to the nearest 1000000.
-10000000
What is 0.001552 rounded to 4 dps?
0.0016
Round -594 to the nearest one hundred.
-600
Round -92.223 to the nearest 10.
-90
What is 0.3089 rounded to two decimal places?
0.31
What is 0.0000006288 rounded | {
"pile_set_name": "DM Mathematics"
} |
s**2 - 2*s + 70636.
14061312*s
Differentiate 117417*f**2 - 44650.
234834*f
What is the first derivative of 139175*h**4 - 278522?
556700*h**3
What is the derivative of 82417*n*o - 280*o - 2 wrt n?
82417*o
What is the third derivative of 146*g**4*u - 1296*g**4 - g**2*u + 4*g**2 + 5*g*u - 30*g wrt g?
3504*g*u - 31104*g
Find the third derivative of -i**3*j*l - 4*i**3*j - i**3*l - 606*i**3 - 205*i**2*j*l - 13*i*j*l - 3*j*l wrt i.
-6*j*l - 24*j - 6*l - 3636
Find the second derivative of -5*a**4 - 252988*a**3 - a**2 - 1722776*a.
-60*a**2 - 1517928*a - 2
What is the first derivative of 51*z**3 - 3604*z**2 + 111699 wrt z?
153*z**2 - 7208*z
Find the third derivative of -2544*j**4*u**3 - 14*j**4*u + 31*j**2*u**3 - 3*j**2 + 6*u**3 - 4 wrt j.
-61056*j*u**3 - 336*j*u
What is the derivative of 22131*k**4 - 2*k**3 + 203176?
88524*k**3 - 6*k**2
What is the second derivative of -18*w**5 + w**3 - 4166*w**2 + 261900*w wrt w?
-360*w**3 + 6*w - 8332
Differentiate 4364*o + 28514 with respect to o.
4364
What is the second derivative of 2033113*g**2 + 38457*g + 10?
4066226
Find the second derivative of 25223*l**3 + 41997*l.
151338*l
Find the second derivative of 835*d**2*m**3 + 2*d**2*m + 192540*d**2 - 7*d*m**2 - 11*m**4 wrt m.
5010*d**2*m - 14*d - 132*m**2
Find the second derivative of 2362*r**3 + 3*r**2 - 115133*r + 2 wrt r.
14172*r + 6
What is the second derivative of -2015013*j**2 - 177478*j - 2?
-4030026
What is the derivative of -4771*f**3 - 4*f**2 - 3*f + 326077?
-14313*f**2 - 8*f - 3
Find the third derivative of 1984220*k**3 - k**2 + 359*k - 102 wrt k.
11905320
What is the third derivative of -36*i**2*l**3*x**3 - 5*i**2*l**3*x**2 + i**2*l**2*x**2 + 2*i*x - 140*l**3*x**3 - 6*l**3*x + 27*x**2 wrt x?
-216*i**2*l**3 - 840*l**3
Find the second derivative of 860*q**4 + 13139*q wrt q.
10320*q**2
Find the third derivative of 1232892*a**3 - 1587935*a**2.
7397352
Find the third derivative of -3735415*s**4 + 3098517*s**2 wrt s.
-89649960*s
What is the first derivative of -22269*v**4 - v**2 + 39804?
-89076*v**3 - 2*v
Find the second derivative of 72101*d**2 + 166080*d wrt d.
144202
What is the derivative of 61*a*q**2 - 2918*a*q + 29*q**2 - 65*q + 3 wrt a?
61*q**2 - 2918*q
Differentiate -2*o**4 + 2*o**3 - 6064*o - 96837 wrt o.
-8*o**3 + 6*o**2 - 6064
Differentiate -2*k*w - 59503*k + 94*w + 227 with respect to k.
-2*w - 59503
Find the third derivative of 246*v**4 + 2*v**3 - 758*v**2 + 1.
5904*v + 12
Differentiate -36171*f + 71262 wrt f.
-36171
Find the third derivative of 4652*g**6 - 2*g**2 - 1136*g - 5.
558240*g**3
Find the first derivative of 3*w**3*x**4 - 2782*w**3*x - 83*w**3 + 182*w**2 wrt x.
12*w**3*x**3 - 2782*w**3
Find the second derivative of -10*a**2*m*o**2 - 4*a**2*o**2 - 3643*a**2 - a*m - 584*m*o**2 - 4*m*o - 7*m wrt o.
-20*a**2*m - 8*a**2 - 1168*m
What is the second derivative of -2*j*o**4 + 84*j*o**2 + 2*j*o - 2*j - 163*o**2 - 423*o - 1 wrt o?
-24*j*o**2 + 168*j - 326
What is the second derivative of 4302914*h**2 - 7140*h + 150?
8605828
What is the first derivative of -126877*k*n + 285*n - 43 wrt k?
-126877*n
Find the first derivative of 1831*q**3 - q**2 - 25*q - 210412 wrt q.
5493*q**2 - 2*q - 25
What is the derivative of -2277*i**4 + 22*i**2*z**3 + 13*z**3 + 26*z**2 + 7*z - 5 wrt i?
-9108*i**3 + 44*i*z**3
What is the second derivative of 2*r**4 - 490*r**3 + 13*r**2 - 8853*r - 3?
24*r**2 - 2940*r + 26
Find the third derivative of -9739*d*l**3*x + 4*d*l**3 + 2*d*l**2 - 115*d*l*x + 4*d*l - 16*d*x + 4*d wrt l.
-58434*d*x + 24*d
What is the third derivative of -4*l**5 - 1000*l**4 + 10*l**3 - 49720*l**2?
-240*l**2 - 24000*l + 60
Find the second derivative of 277957*m**4 - 56*m + 411.
3335484*m**2
Find the first derivative of -5*h*p*v + 4*h*v**2 - 320*p*v**3 - 57*v**3 + v**2 wrt p.
-5*h*v - 320*v**3
What is the third derivative of 12675*i**3 + 28308*i**2?
76050
Find the second derivative of 68612*m**2*s**3 + 130*m*s**3 + 10*m*s**2 + 2*s**3 + 4*s wrt m.
137224*s**3
What is the third derivative of -2*g**3*m**2*z**3 + 15121*g**3*m*z + g**2*m**2*z - 484086*g*m**2*z**3 - g*m*z - 5*g*z**2 - 2*m**2 wrt z?
-12*g**3*m**2 - 2904516*g*m**2
What is the second derivative of -225726*j**2 - 58*j + 864 wrt j?
-451452
Find the second derivative of 6*n**4 - 4465*n**2 - 204660*n wrt n.
72*n**2 - 8930
Find the first derivative of -68*v**4 + 177*v**3 - 27764.
-272*v**3 + 531*v**2
Differentiate -2*f**2*h + 1412*f**2 - 8298*f*h**2 - 17*h**2 + 64 wrt h.
-2*f**2 - 16596*f*h - 34*h
Differentiate -58*x**4 - 572*x**3 - 2*x - 344497 wrt x.
-232*x**3 - 1716*x**2 - 2
Find the third derivative of -22383*q**3 - 73*q**2 - q + 25.
-134298
Find the first derivative of w**3*y - 27235*w**2*y + 52972*y wrt w.
3*w**2*y - 54470*w*y
Differentiate -15*h**4 + 733*h**3 + 2*h + 69170 with respect to h.
-60*h**3 + 2199*h**2 + 2
What is the second derivative of 695*g**3*n**2 - 3*g**3*n + g**2*n**2 - g*n**2 + 1928*n + 1 wrt n?
1390*g**3 + 2*g**2 - 2*g
Differentiate -4*h**2 - 2379*h + 20322 wrt h.
-8*h - 2379
Differentiate 21*l*v**3 + 4*l*v**2 - 467*l - 22*v**3 - 2*v - 104 wrt l.
21*v**3 + 4*v**2 - 467
Find the third derivative of -42560*f**4*z + 3*f**4 + 264*f**2*z - 2*f**2 + 88*z wrt f.
-1021440*f*z + 72*f
Find the second derivative of 1717*u**3 - 5*u**2 - 26642*u - 3 wrt u.
10302*u - 10
What is the derivative of 10*f**2 - 3596*f + 86085?
20*f - 3596
Find the third derivative of -37088*r**5 - 32176*r**2 wrt r.
-2225280*r**2
What is the derivative of 193295*z**4 + 3231?
773180*z**3
Find the second derivative of -3061493*d**4 - 846100*d + 3 wrt d.
-36737916*d**2
Differentiate -141567*m**2 + 29039.
-283134*m
What is the derivative of -h**4 + 8*h**2 - 831*h - 9108?
-4*h**3 + 16*h - 831
Find the second derivative of -13267*r**3 + 22*r**2 + 838*r + 212 wrt r.
-79602*r + 44
What is the first derivative of -7148*j**2*s**3 - 28083*j**2 + s**4 wrt s?
-21444*j**2*s**2 + 4*s**3
Find the third derivative of 56*q**4 - 279*q**3 + 10492*q**2.
1344*q - 1674
Find the second derivative of -290*h**5*p - 843*h**4*p + 278094*h*p wrt h.
-5800*h**3*p - 10116*h**2*p
What is the second derivative of -3892296*a**5 + a - 978804?
-77845920*a**3
Find the second derivative of -w**5 - 439*w**3 + w**2 - 4586*w + 3.
-20*w**3 - 2634*w + 2
Differentiate -k*l*m - 65025*k + 16694*l - 4*m with respect to k.
-l*m - 65025
What is the second derivative of -569057*a**3*n**3 - 3574*a*n**3 + 275*a wrt a?
-3414342*a*n**3
Find the third derivative of 860102*g**3 - 3*g**2 - 250624*g wrt g.
5160612
What is the third derivative of 213*d**3*h*z**3 + d**3*h - 9*d**3*z**2 - 2*d**2*h*z**2 - 2*d**2*h*z + 2*d**2*h + 130*d*z**3 - 2*h*z**2 wrt d?
1278*h*z**3 + 6*h - 54*z**2
Find the second derivative of -2350*a**4 + 45*a**2 + 75231*a + 1 wrt a.
-28200*a**2 + 90
Find the third derivative of 42961*h**5 + 196*h**2 - 145 wrt h.
2577660*h**2
What is the second derivative of -189687*v**4 - 2*v + 4867?
-2276244*v**2
What is the third derivative of 1581*b**2*q**3*v**2 - 10*b**2*v + b*q**3*v**2 - 36*b*q**2*v**2 - 2*b*q**2*v + 12*q**3 - 3*q**2 - 2*v wrt q?
9486*b**2*v**2 + 6*b*v**2 + 72
What is the second derivative of 3721*q**3 - 27150*q wrt q?
22326*q
What is the second derivative of 6195*z**4 - 24416*z wrt z?
74340*z**2
What is the third derivative of 17360*z**5 - 7*z**4 - 2*z**3 + 6*z**2 + 21*z - 48 wrt z?
1041600*z**2 - 168*z - 12
What is the second derivative of -32736*u**2 - 1522*u + 25?
-65472
Find the second derivative of 43465*j**4 - j**3 - 3*j**2 + 12537*j.
521580*j**2 - 6*j - 6
Find the first derivative of 558972*d**3 + 232293.
1676916*d**2
Find the second derivative of 19333*y**2 + 38203*y.
38666
What is the second derivative of g**5 + 811*g**4 - 101*g**3 + 127202*g?
20*g**3 + 9732*g**2 - 606*g
Find the second derivative of -1168*c**2*q**3*r**2 - 13*c**2*q**2 + c*r**2 + 2*c*r - 4*q**3*r + 3*q**3 + 2*r**2 wrt c.
-2336*q**3*r**2 - 26*q**2
What is the third derivative of -r**4 + 14003*r**3 - 25*r**2 - 62*r + 13 wrt r?
-24*r + 84018
Differentiate q**2*t + 7*q**2 - 2*q + 51558*t + 536 wrt t.
q**2 + 51558
What is the third derivative of -5*t**3*u**3 + 47*t**3*u + 91*t**2*u**2 - 25*t*u**3 - 435*u**3 + u wrt u?
-30*t**3 - 150*t - 2610
What is the second derivative of 2203*d**3*f**2*i**2 + d**3*f*i**3 + 3*d**3*f*i + 2*d**2*f**2*i**3 - 1138*d**2*f*i**3 wrt f?
4406*d**3*i | {
"pile_set_name": "DM Mathematics"
} |
1) in base 4?
-111
7 (base 8) to base 14
7
-17 (base 12) to base 3
-201
Convert cb (base 15) to base 8.
277
-20 (base 5) to base 8
-12
Convert 0 (base 12) to base 7.
0
What is 31 (base 16) in base 10?
49
Convert -1 (base 13) to base 2.
-1
-49 (base 16) to base 12
-61
What is -26 (base 16) in base 13?
-2c
Convert 5 (base 10) to base 8.
5
What is -2 (base 15) in base 10?
-2
What is 12 (base 4) in base 6?
10
What is -121 (base 6) in base 7?
-100
Convert 100 (base 3) to base 16.
9
4 (base 8) to base 14
4
-1142 (base 6) to base 11
-233
What is -26 (base 11) in base 15?
-1d
What is 70 (base 12) in base 2?
1010100
What is 20 (base 14) in base 4?
130
Convert -27 (base 11) to base 10.
-29
What is -109 (base 14) in base 4?
-3031
Convert 0 (base 8) to base 11.
0
What is -55 (base 14) in base 7?
-135
Convert 4 (base 12) to base 2.
100
What is -3 (base 11) in base 6?
-3
11001 (base 2) to base 9
27
1 (base 5) to base 2
1
Convert 4 (base 16) to base 9.
4
What is 2 (base 6) in base 4?
2
11 (base 5) to base 3
20
57 (base 9) to base 6
124
What is -11 (base 2) in base 10?
-3
Convert 11021 (base 3) to base 14.
83
-1014 (base 6) to base 5
-1401
Convert 11 (base 7) to base 8.
10
What is 32 (base 7) in base 11?
21
123 (base 4) to base 12
23
What is 8 (base 14) in base 4?
20
7 (base 12) to base 3
21
Convert 23 (base 12) to base 5.
102
What is -12 (base 13) in base 8?
-17
-4 (base 8) to base 5
-4
-2a (base 13) to base 3
-1100
What is 15 (base 10) in base 8?
17
What is 227 (base 8) in base 15?
a1
356 (base 7) to base 6
512
What is 0 (base 12) in base 9?
0
Convert 3 (base 8) to base 15.
3
Convert 1b5 (base 12) to base 14.
161
What is -3 (base 5) in base 9?
-3
What is 2121 (base 3) in base 15?
4a
Convert 2 (base 7) to base 16.
2
What is c (base 14) in base 9?
13
Convert 2 (base 15) to base 11.
2
What is -1 (base 10) in base 16?
-1
Convert 14 (base 9) to base 12.
11
Convert -24 (base 6) to base 14.
-12
What is -3 (base 11) in base 14?
-3
What is -6 (base 10) in base 6?
-10
Convert -1 (base 15) to base 5.
-1
Convert 102 (base 5) to base 15.
1c
What is 3 (base 7) in base 13?
3
What is -b7 (base 12) in base 13?
-a9
Convert 202 (base 3) to base 14.
16
Convert -2 (base 6) to base 4.
-2
What is -3 (base 4) in base 6?
-3
Convert -14 (base 10) to base 5.
-24
What is -1000001 (base 2) in base 13?
-50
-20 (base 5) to base 11
-a
What is -2112 (base 3) in base 14?
-4c
6 (base 10) to base 12
6
What is 2f (base 16) in base 6?
115
What is -30 (base 4) in base 16?
-c
What is -1 (base 2) in base 15?
-1
What is -7 (base 12) in base 4?
-13
What is 1a (base 13) in base 8?
27
What is 10121 (base 3) in base 10?
97
Convert 47 (base 13) to base 16.
3b
1 (base 9) to base 3
1
16 (base 16) to base 3
211
Convert -13 (base 15) to base 8.
-22
What is -5 (base 11) in base 8?
-5
Convert -2 (base 15) to base 8.
-2
What is -4 (base 12) in base 5?
-4
What is 56 (base 15) in base 11?
74
Convert 11 (base 8) to base 2.
1001
Convert 3 (base 15) to base 12.
3
-65 (base 10) to base 13
-50
-1210 (base 5) to base 11
-154
-69 (base 10) to base 4
-1011
Convert 11 (base 8) to base 10.
9
13 (base 4) to base 7
10
0 (base 9) to base 7
0
What is 2 (base 16) in base 15?
2
What is 8 (base 11) in base 9?
8
Convert -85 (base 9) to base 11.
-70
What is 26 (base 13) in base 12?
28
Convert -2d (base 14) to base 11.
-38
-91 (base 13) to base 3
-11101
-1 (base 3) to base 9
-1
Convert -42 (base 9) to base 7.
-53
What is -2 (base 14) in base 11?
-2
Convert -110 (base 2) to base 10.
-6
Convert 31 (base 11) to base 10.
34
-3 (base 6) to base 16
-3
Convert -6 (base 13) to base 9.
-6
What is 1101 (base 2) in base 7?
16
What is 234 (base 6) in base 2?
1011110
Convert -11 (base 4) to base 7.
-5
Convert 16 (base 12) to base 13.
15
What is -10 (base 2) in base 8?
-2
What is -115 (base 15) in base 8?
-365
What is 231 (base 4) in base 12?
39
What is 90 (base 10) in base 6?
230
What is 100 (base 6) in base 8?
44
-7 (base 12) to base 9
-7
Convert 120102 (base 3) to base 5.
3131
-a (base 15) to base 5
-20
Convert 3 (base 6) to base 8.
3
What is 141 (base 5) in base 9?
51
9 (base 14) to base 12
9
-6 (base 16) to base 11
-6
-210 (base 4) to base 8
-44
Convert -1 (base 16) to base 2.
-1
What is 14 (base 6) in base 2?
1010
1121 (base 3) to base 12
37
Convert 0 (base 6) to base 10.
0
-4 (base 13) to base 2
-100
Convert -12 (base 3) to base 15.
-5
Convert -30 (base 6) to base 16.
-12
-2 (base 14) to base 10
-2
28 (base 10) to base 3
1001
-40 (base 8) to base 3
-1012
Convert 5 (base 9) to base 5.
10
What is -14 (base 11) in base 6?
-23
-111001 (base 2) to base 4
-321
Convert -1 (base 4) to base 14.
-1
Convert 14 (base 6) to base 8.
12
-11 (base 8) to base 6
-13
What is 0 (base 2) in base 12?
0
What is 43 (base 16) in base 4?
1003
Convert 12 (base 10) to base 14.
c
What is 5 (base 8) in base 6?
5
What is -4 (base 9) in base 11?
-4
Convert -135 (base 6) to base 16.
-3b
What is -3 (base 7) in base 15?
-3
-10 (base 6) to base 13
-6
0 (base 5) to base 6
0
What is -9 (base 13) in base 5?
-14
37 (base 12) to base 8
53
What is -57 (base 11) in base 7?
-116
What is -42 (base 8) in base 13?
-28
Convert 3 (base 10) to base 3.
10
Convert 10000 (base 2) to base 4.
100
What is 1 (base 2) in base 9?
1
2e (base 16) to base 6
114
What is -223 (base 7) in base 5?
-430
2 (base 16) to base 10
2
Convert 2 (base 8) to base 4.
2
What is 9 (base 15) in base 16?
9
What is 4 (base 12) in base 2?
100
What is -39 (base 14) in base 5?
-201
Convert 12 (base 7) to base 16.
9
Convert 9 (base 12) to base 4.
21
-3 (base 14) to base 3
-10
What is -344 (base 6) in base 13?
-a6
What is 3 (base 14) in base 2?
11
Convert 3122 (base 4) to base 16.
da
2 (base 11) to base 4
2
201 (base 8) to base 15
89
What is 0 (base 3) in base 13?
0
31 (base 7) to base 12
1a
Convert 321 (base 4) to base 16.
39
What is -60 (base 9) in base 5?
-204
Convert 212 (base 4) to base 13.
2c
What is -111 (base 5) in base 2?
-11111
What is -2 (base 15) in base 4?
-2
-15 (base 12) to base 7
-23
What is -13 (base 11) in base 2?
-1110
3 (base 15) to base 9
3
97 (base 10) to base 2
1100001
What is 4 (base 12) in base 16?
4
Convert -4 (base 10) to base 14.
-4
Convert a (base 12) to base 16.
a
What is -10 (base 4) in base 16?
-4
6 (base 8) to base 2
110
What is -222 (base 3) in base 6?
-42
Convert -5 (base 7) to base 9.
-5
1 (base 16) to base 8
1
What is 10 (base 2) in base 7?
2
Convert 20 (base 11) to base 5.
42
-8 (base 12) to base 16
-8
What is -1001 (base 3) in base 13?
-22
8 (base 11) to base 10
8
Convert -33 (base 13) to base 12.
-36
-147 (base 13) to base 9
-273
What is 100 (base 5) in base 16?
19
1 (base 9) to base 7
1
What is -3 (base 9) in base 6?
-3
-632 (base 8) to base 10
-410
What is -224 (base 6) in base 2?
-1011000
Convert 201 (base 3) to base 5.
34
100000101 (base 2) to base 3
100200
What is -32 (base 6) in base 7?
-26
What is -11001100 (base 2) in base 4?
-3030
-3 (base 12) to base 6
-3
What is 5 (base 9) in base 13?
5
-34 (base 13) to base 7
-61
What is 1222 (base 3) in base 9?
58
Convert 4 (base 16) to base 11.
4
What is -86 (base 10) in base 13?
-68
-3 (base 10) to base 7
-3
Convert -63 (base 8) to base 5.
-201
123 (base 14) to base 13
146
1312 (base 5) to base 4
3033
What is -122 (base 9) in base 10?
-101
Convert -10 (base 11) to base 12.
-b
What is -1 (base 10) in base 6?
-1
Convert 3 (base 12) to base 3.
10
Convert -132 (base 4) to base 12.
-26
What is 2a (base 12) in base 5?
114
Convert -4 (base 9) to base 14.
-4
150 (base 10) to base 11
127
What is 10 (base 3) in base 5?
3
Convert 4 (base 12) to base 5.
4
2 (base 16) to base 11
2
What is -113 (base 5) in base 8?
-41
What is 13 (base 7) in base 3?
101
Convert -185 (base 9) to base 12.
-112
-a (base 13) to base 9
-11
24 (base 6) to base 5
31
-9 (base 15) to base 4
-21
Convert 1 (base 5) to base 11.
1
-32 (base 10) to base 13
-26
-5 (base 16) to base 3
-12
What is 11 (base 14) in base 3?
120
Convert -116 (base 13) to base 8.
-274
What is -2212 (base 3) in base 9?
-85
-20 (base 4) to base 11
-8
What is 223 (base 8) in base 9?
173
What is 1 (base 13) in base 15?
1
26 (base 11) to base 3
1001
What is -8 (base 16) in base 9?
-8
What is 2 (base 16) in base 13?
2
-119 (base 12) to base 6
-433
What is -3 (base 15) in base 12?
-3
What is 1 (base 3) in ba | {
"pile_set_name": "DM Mathematics"
} |
(sqrt(220)/sqrt(5) - sqrt(44))/sqrt(4)) + -4)**2.
-36*sqrt(11) + 60
Simplify 1 + ((sqrt(10) - (sqrt(100) - (sqrt(100) + -2*sqrt(100) + sqrt(100)))/sqrt(10)) + 1*sqrt(1440))/((sqrt(192)*-3)/sqrt(6)).
-sqrt(5) + 1
Simplify ((sqrt(1300) - (sqrt(1300)*-2 + 2)**2) + (-2*sqrt(1300)*1)**2 + ((sqrt(1300) + 3 + sqrt(1300))*-2 + sqrt(1300) + 5)**2)*2.
300*sqrt(13) + 23394
Simplify 5*(-4*(sqrt(450) - (sqrt(450) - (sqrt(450) - sqrt(450)*-2)))/sqrt(10) - (-5 + sqrt(45)*1 - (sqrt(180) - (0 + sqrt(180) - sqrt(180) - sqrt(180))))**2).
-2150 - 630*sqrt(5)
Simplify -3 + (0 + sqrt(1377)*-2 + 3 - (3 + sqrt(1377) + (0 + sqrt(1377) + sqrt(1377))*2))**2 + 2.
67472
Simplify -4 + (5 + (0 + sqrt(1872) + 4 + 1)**2 - ((6*(-1 + -1 + sqrt(1872)))**2 + 0)).
-65638 + 1848*sqrt(13)
Simplify (5 + (2*(1 + sqrt(5) + 1 + 1*sqrt(45)) - -4*sqrt(20)/sqrt(64)*2)*-3)*3.
-90*sqrt(5) - 21
Simplify ((sqrt(425) + (sqrt(425)*2 - sqrt(425)) + sqrt(425) + 4)*1*-6)**2 - (-1 + 0 + sqrt(425)*-1 + (sqrt(425) - sqrt(425)*-2)*-1 + sqrt(425)).
4335*sqrt(17) + 138277
Simplify 3 + 3*(6*((sqrt(720) + 1)*-6 - sqrt(720))**2 - ((sqrt(720)*2*-6 + sqrt(720))**2 + 2*sqrt(720)*-1)) + 1.
18216*sqrt(5) + 374332
Simplify 5 + sqrt(143)/(sqrt(33)/sqrt(3)) + 0 + sqrt(13) + sqrt(13) + 2 + 5 + -3 + (-1*sqrt(637) - sqrt(637))**2 + 3*(2*sqrt(637))**2.
3*sqrt(13) + 10201
Simplify -4 + -3 + (1 + sqrt(17))**2 + (sqrt(17) - (-3 + (sqrt(17) + sqrt(17) + 1)**2)) - (2*6*(sqrt(17) + sqrt(102)/sqrt(6))*-5)**2.
-244855 - sqrt(17)
Simplify -2 + (-4*(sqrt(128) + 0 + 0 + (-5 + sqrt(128) + -4 - sqrt(128))))**2.
-2304*sqrt(2) + 3342
Simplify 2 + (sqrt(1872) + (2*(-4 + sqrt(1872) + sqrt(1872)))**2 - (3 + (-4*sqrt(1872))**2)) + -1 + 2.
-756*sqrt(13) + 64
Simplify ((-2 + sqrt(1088)*-2 + 5*sqrt(1088)*1 + -1 + sqrt(1088) + -1 + 2 + -1)*4*-3)**2.
-27648*sqrt(17) + 2508048
Simplify ((sqrt(33) + sqrt(297) + 2*sqrt(297) + sqrt(297))/((sqrt(18) - sqrt(72))/sqrt(6)) + ((sqrt(44)*-1)/sqrt(4) - 3*sqrt(396)))*-1 + -5.
-5 + 32*sqrt(11)
Simplify (1*-4*-6*(sqrt(209)*-1 - sqrt(209)))/(sqrt(44)/sqrt(4)*2 + 4*sqrt(396)).
-24*sqrt(19)/13
Simplify (-5 + -2 + (sqrt(171) - (sqrt(171) + 1))*-3 + 2)*5.
-10
Simplify -4*(sqrt(588)*-4 - 2*1*sqrt(12))/((4*sqrt(112)/sqrt(4) + sqrt(28))/(2*sqrt(847) + sqrt(7))).
552*sqrt(3)
Simplify 4 + (-4 + (sqrt(19) - (-3 + sqrt(1539) - sqrt(1539)))**2 + -3 - -5*(0 + (2 + sqrt(2299))**2)).
226*sqrt(19) + 11540
Simplify -1*(((-2*(sqrt(70) - (sqrt(70) - (sqrt(70)*2 - sqrt(70))) - sqrt(70)))/(sqrt(40)/sqrt(4)*-6 + sqrt(10)))**2 - ((0 + sqrt(7))*1 - -2*sqrt(7)*2)).
5*sqrt(7)
Simplify (-4*(3 + sqrt(612) + (sqrt(612) + 4*(-1 + sqrt(612) - sqrt(612)) - sqrt(612))))**2 - 4*(5 + (-4*sqrt(612)*2 - sqrt(612) - sqrt(612))**2).
-235012 - 192*sqrt(17)
Simplify (2*((-2*sqrt(243) + 5)*6 - (-4 + (-4*(sqrt(243) - sqrt(243)*1) - sqrt(243)))) + -4)**2.
-25344*sqrt(3) + 121708
Simplify 3*(-5*(sqrt(33) + -3*sqrt(33)) + sqrt(132)/(sqrt(12)/sqrt(3)))/((2*sqrt(480))/(sqrt(640) + (sqrt(640) - (sqrt(640) - (2*sqrt(640) + sqrt(640)))))).
132*sqrt(11)
Simplify (5*sqrt(126)/sqrt(6) - (1*sqrt(756) + sqrt(756)))/(-6*(sqrt(7) + sqrt(252)) - (1*sqrt(343) + sqrt(7) - sqrt(7))).
sqrt(3)/7
Simplify 2 + -2 + (sqrt(48)*1 + -4 - sqrt(384)/(sqrt(8) - sqrt(72))) + 3 + -5 + -3.
-9 + 6*sqrt(3)
Simplify (-2 + (-2*sqrt(72) + sqrt(72))*1 + sqrt(72) + -2)**2 - (-3 + (sqrt(128) - 6*2*sqrt(128)) + sqrt(128) + -4 + -1*sqrt(128))**2.
-15521 - 1232*sqrt(2)
Simplify ((-3*sqrt(1573))**2 + 3*(5*sqrt(13))**2 - -2*(sqrt(1573) + (sqrt(1573) + 0 + sqrt(1573))**2)*4)*-4.
-261872 - 352*sqrt(13)
Simplify (sqrt(27)/((sqrt(9) + sqrt(9)*-2)*-5) + 2 - ((sqrt(324)*-4)/(sqrt(12) + (sqrt(192)*-3 - sqrt(12))))**2)*-4.
-4*sqrt(3)/5 + 4
Simplify (-2*sqrt(475) - sqrt(475))*6 + sqrt(475) + sqrt(475) + 1 + 3 - (5 + 1 + -1 + sqrt(475))**2*-3.
70*sqrt(19) + 1504
Simplify (((sqrt(4032) + (-1*sqrt(4032) - sqrt(4032))*5 - (0 + sqrt(4032) + 1)) + -1*sqrt(4032)*-5*3)*-5)**2 + 2.
-6000*sqrt(7) + 2520027
Simplify ((sqrt(156) - ((sqrt(156) + -5*sqrt(156) + sqrt(156))*-6 - sqrt(156)))/sqrt(3) + sqrt(117)/(-2*sqrt(9) - sqrt(9)) + sqrt(130)/sqrt(250) + 0 + -3)**2.
964*sqrt(13)/5 + 3022237/225
Simplify (-1 + (sqrt(153) - 6*sqrt(153)*-1) + 5 + 0 + sqrt(153) + (-1*(sqrt(153)*-2 - sqrt(153)) - 2*(sqrt(153) - (sqrt(153) + 0 - sqrt(153)))) + 3)**2.
378*sqrt(17) + 12442
Simplify 2 + 3*(-5 + -2 + ((sqrt(242)*4 - sqrt(242))**2 - sqrt(242) - sqrt(242)) + -2 + (sqrt(242)*-2 - sqrt(242) - sqrt(242)) + -3).
-198*sqrt(2) + 6500
Simplify (sqrt(18) - 1*sqrt(18))**2 + (5*sqrt(2)*4)**2 - (sqrt(6)/(sqrt(15)/sqrt(5)*-6) + -1).
sqrt(2)/6 + 801
Simplify 0 + ((1 + 6*(0 + sqrt(1088))*-2)*-4)**2 + 0.
-3072*sqrt(17) + 2506768
Simplify (-2 + (-5 + sqrt(612) - sqrt(68)/sqrt(400)) + -1)**2*2.
-944*sqrt(17)/5 + 65577/50
Simplify (-3 + sqrt(11))**2 + -5 + sqrt(66)/sqrt(6) + 0 + (-2*sqrt(539) + sqrt(539))**2*-2*3 + 0.
-3219 - 5*sqrt(11)
Simplify (0 + (-4 + 4 + -4 + (sqrt(700) - ((sqrt(700) + 1 - sqrt(700)) + 5)) + 5*(sqrt(700) + -1 + sqrt(700)))*-2)**2.
-13200*sqrt(7) + 339700
Simplify (-1*(sqrt(143) + ((2*sqrt(143) - sqrt(143) - sqrt(143))*-1 - sqrt(143))))/(sqrt(132)/(sqrt(108)/(sqrt(9)*1)))*-3.
0
Simplify (4 + (-2 + 2*(sqrt(72) + -5) + -2)**2)*-4.
-1952 + 1344*sqrt(2)
Simplify ((-5 + -5 + -5*((1*sqrt(4500) - sqrt(4500))*4 - (1 + (sqrt(4500) - -2*sqrt(4500)))))*4)**2.
-72000*sqrt(5) + 16200400
Simplify (((sqrt(78) - (sqrt(78) - sqrt(78)*-1))*5)/(sqrt(36)/(sqrt(24)/sqrt(4))))**2 + (sqrt(26) - (sqrt(26) + sqrt(104)*-1))/(sqrt(6)/sqrt(3)*4).
sqrt(13)/2 + 325
Simplify ((-6*-2*sqrt(153) + (-1 + sqrt(153) + -3 - sqrt(153)) - (1 + (3 + sqrt(153))*4))*-1)**2 + 2.
-816*sqrt(17) + 10083
Simplify -1 + (-6*(-1 + sqrt(450)))**2 + ((sqrt(2400) + 2*sqrt(2400))/(1*sqrt(768)))**2.
-1080*sqrt(2) + 130105/8
Simplify 1 + (0 + 3 + sqrt(35)/sqrt(5) + -3)**2 + (-5 + sqrt(49)/(3*sqrt(7)))*-3.
-sqrt(7) + 23
Simplify ((3 + -1*sqrt(1100) - (0 + sqrt(1100))*1 - (1*(sqrt(1100) + 0) + -1 + (1 + sqrt(1100) - sqrt(1100)))) + 2)**2*4.
-1200*sqrt(11) + 39700
Simplify (6*(-2 + 1 + 1*sqrt(162) + 1 + 6*(2 + sqrt(162)) + sqrt(162) + -3))**2.
46656*sqrt(2) + 376164
Simplify (sqrt(16)/(sqrt(12)/sqrt(6)) - sqrt(8) - sqrt(56)/(-1*sqrt(7)))/(-6*(sqrt(12)*2)/sqrt(3)*6).
-sqrt(2)/72
Simplify ((-2*(sqrt(114) + (sqrt(114) - sqrt(114)*1) + sqrt(114)))/(sqrt(12)/(2*sqrt(2))) - (3 + (sqrt(475) - -1*sqrt(475)) + -3 + 2*sqrt(475) + sqrt(475)))**2.
20691
Simplify (6*(4*(-3 + (-1 + sqrt(612) - sqrt(612)) - (sqrt(612) + sqrt(612) + 0 + 0)) - (-1 + ((sqrt(612)*-1 + sqrt(612) - sqrt(612)) + sqrt(612))*-6*-4)))**2.
51840*sqrt(17) + 1418148
Simplify 3*(-4 + (sqrt(891) + 1 + sqrt(891) + sqrt(891) + 1)**2 + (2*(-1*sqrt(891) + -1))**2)*6.
3240*sqrt(11) + 208566
Simplify 2*(sqrt(15)/(sqrt(15)/sqrt(3)) + 1) - (sqrt(36)/(sqrt(18)/sqrt(3)))/(-3*sqrt(6)/sqrt(3)).
2 + 7*sqrt(3)/3
Simplify (5 + ((sqrt(288) - ((-2 + sqrt(288) + 1 - sqrt(288)) + sqrt(288))) + -4 + (-2*sqrt(288) - sqrt(288)) - (5*(-3 + sqrt(162)) + 0)))**2.
-2754*sqrt(2) + 13411
Simplify -1*4*(((sqrt(1008) + 5)*4 + sqrt(1008)*3 + -1)*5)**2.
-4975300 - 319200*sqrt(7)
Simplify 2 + -3 + 0 + sqrt(468) + (sqrt(117) + 0)*6 + 4.
3 + 24*sqrt(13)
Simplify (-5 + sqrt(14)/sqrt(50) + sqrt(7) + (sqrt(7) + -1)*-3 + (sqrt(847) - (sqrt(847) + sqrt(847)*-3))*-4 + -2)**2.
5352*sqrt(7)/5 + 3133327/25
Simplify (-2*sqrt(1440) - sqrt(40))/(sqrt(32)/sqrt(4)*-3) + -4*(sqrt(5) - (sqrt(5) - (sqrt(5) - (1 + sqrt(405))**2))) + 0 + -2.
217*sqrt(5)/3 + 1622
Simplify 2*-2*((sqrt(605) - ((sqrt(605) + 0)*-5 + sqrt(605)) - (-3 + sqrt(605) + 1)) + 2 + 1).
-176*sqrt(5) - 20
Simplify (6*((sqrt(84) + sqrt(84) + 1*sqrt(84))*-5 - (sqrt(84)*-2 + sqrt(84))*-1))/(-4*sqrt(972)*2*-4).
-sqrt(7)/3
Simplify 1*((-1*sqrt(171)*-4*-5*-4 + 0)*3)**2.
9849600
Simplify (2*sqrt(70)*-4)/(sqrt(810) - 2*sqrt(810)) + ((sqrt(84)*-2)/sqrt(3)*-2)**2.
8*sqrt(7)/9 + 448
Simplify -5*(-4 + sqrt(15)/(sqrt(320) + -2*sqrt(320)) + (sqrt(27)/(3*sqrt(9)) - 2*sqrt(3)*2))**2*-4.
1820*sqrt(3)/3 + 56765/48
Simplify -1*2*6*(sqrt(99)/sqrt(3)*6)/(sqrt(3)*1*3)*3.
-72*sqrt(11)
Simplify (-1*(-2*(sqrt(1539) + 2*sqrt(1539)*3 + sqrt(1539)) - (1 + (sqrt(1539) - (2 + sqrt(1539) + 4)) + sqrt(1539))))**2.
-1530*sqrt(19) + 444796
Simplify (-6*(-2*sqrt(450)*6 - sqrt(450))/sqrt(10)*1 + -4)**2.
-1872*sqrt(5) + 273796
Simplify 5 + (-4 + | {
"pile_set_name": "DM Mathematics"
} |
-2*p + 19 = 67. Let r = -21 - p. Suppose -2*q + 2*k - 4 = 0, 5*q - 2*k = -4 - r. Let l(i) = 8*i**2 + i. Give l(q).
7
Suppose 0 = 3*w + 11 - 29. Let p = 2 + w. Let y(n) = -2*n + 3. Let g(s) = -5*s + 10. Let m(d) = p*y(d) - 3*g(d). Give m(-6).
0
Let t(d) be the third derivative of d**4/24 - d**3 - 10*d**2. Suppose f + 6 = -3*v, -4*v - 6 = -v. Give t(f).
-6
Suppose -5 = -4*g + 4*d - 1, 3*g - 15 = -d. Suppose -2*a - g*l = -14, 0 = 2*l + 3*l - 25. Let j be 0/(1 - -3) - a. Let o(s) = -s**2 + 2*s + 2. Determine o(j).
-1
Let q(o) = o**3 + 7. Let k(t) = -t**3 - t**2 - t - 6. Let y(s) = -4*k(s) - 3*q(s). Suppose -3*d + 0*x - x - 6 = 0, 3*x - 18 = 3*d. Give y(d).
0
Let m(q) = -q - 1. Let a(b) = -3 + 1 - 3 + 4. Let k(v) = a(v) - m(v). What is k(-4)?
-4
Let x(d) be the third derivative of -d**5/60 - d**4/4 + 7*d**3/6 + 1560*d**2. Suppose -2*w - 9 = -2*s - 3, 42 = -5*w - 4*s. What is x(w)?
7
Suppose 2*b + 77 = 13*b. Suppose -j = -b*j + 18. Let r(c) = -c**3 + 2*c**2 + 2*c - 1. Give r(j).
-4
Let f(m) = -m**3 + m**2 - 5. Suppose 0 = 3*c + 5*d + 5, -1 + 0 = -4*c + d. Suppose -2*l - 2*l = c. Determine f(l).
-5
Suppose 2*q + 5 = 7*q, -w = 2*q - 4. Let x(j) = -8*j**3 - j**3 - 1 - 5*j**w + 10*j**3 - 6*j. Calculate x(6).
-1
Let h(u) = -7*u - 133*u**3 - 131*u**3 - 134*u**3 + 399*u**3 - 5*u**2 + 0*u**2. Determine h(5).
-35
Let g(v) = 5*v**2 + 63. Let o(m) = m**2 - m + 9. Let h(d) = g(d) - 6*o(d). Calculate h(6).
9
Let w(s) = -7*s + 5. Let v(o) = -8*o + 5. Let q be (1 - 3)*5/2. Suppose 4*m + 4*t + 2 = 6, 3*m - 43 = 5*t. Let b(y) = m*w(y) + q*v(y). Determine b(4).
-3
Let b(w) = 6*w + 12. Let g(p) = -5*p - 10. Let z(f) = 4*b(f) + 5*g(f). Determine z(7).
-9
Let k be 0 - (-2 - -3)*-29. Suppose 3*w - 2*w = 2*f - 29, -4*w - 5*f = 103. Let z = w + k. Let o(v) = -v**2 + 3*v - 1. Calculate o(z).
1
Let b(c) = -2*c**2 - 8*c - 3. Suppose 32*o + 55 = 21*o. Calculate b(o).
-13
Let v(n) = 46*n + 1. Suppose -11*d + 14 = 5*l - 8*d, 2*l - 5 = -d. Determine v(l).
47
Let i(p) be the first derivative of p**2/2 - 6*p - 183. What is i(0)?
-6
Let k(u) = -6*u - 7 - 19 + 8 - 1. Give k(-6).
17
Let t(b) = -5*b**3 - 2*b**2 - 7*b. Let p be -1 - -4 - (-2 - -4). Let u(f) = -f**3 - f. Let j(a) = p*t(a) - 6*u(a). Calculate j(2).
-2
Suppose -4*i + 0*v - v = 14, 0 = 3*i - 5*v + 22. Let k(y) = 3*y + 2. Let j(a) = 8*a + 6. Let m(f) = -4*j(f) + 11*k(f). Give m(i).
-6
Let b be ((-1)/2*6)/(1 + -2). Let x(g) = g + 256*g**3 - 2*g**2 - 263*g**b + 0*g. Give x(1).
-8
Let a(l) = -l - 20. Let d = 1632 + -1646. Give a(d).
-6
Let k(o) = -5*o. Suppose -4*p = 2*f - f + 1, -2 = p. Let z(y) = -4*y. Let h(u) = f*z(u) - 6*k(u). Give h(3).
6
Let r = -275 + 284. Let f(g) = g**3 - 8*g**2 - 10*g - 4. Calculate f(r).
-13
Let x = -49 + 45. Let r = x + 1. Let i(j) = -4*j - 2. What is i(r)?
10
Let l be -7*(12 - (-267)/(-21)). Let q(w) = w + 6. Determine q(l).
11
Suppose 0 = 7*q - 2*q + 4*b - 13, -3*q = 2*b - 7. Let y be 0 + (7 - (q - -2)). Let s(c) = c + 5. Calculate s(y).
9
Let q(b) be the first derivative of -3*b**4/4 - b**3/6 - b**2/2 + 11*b + 1. Let i(m) be the first derivative of q(m). What is i(-1)?
-9
Let d(m) = -3*m**3 - 2*m**2 - 6*m + 5. Let y(b) = 2*b**3 + 3*b**2 + 4*b - 4. Let z(h) = -3*d(h) - 4*y(h). Calculate z(5).
-14
Let a(d) = d - 397 - 392 + 793. Calculate a(-7).
-3
Let p(f) = f**3 - 4*f**2 - 3*f - 4. Let u(l) = 7*l + 26. Let g be u(-3). Give p(g).
6
Let i(k) be the third derivative of 0 + 0*k - 4*k**2 + 2/3*k**3 + 1/8*k**4 - 1/60*k**5. Let b be 1*4/5*5. Give i(b).
0
Let o(p) be the second derivative of p**5/20 + 7*p**4/12 - 5*p**2 - 35*p. Determine o(-7).
-10
Let s(t) = -2*t - 10. Let k be ((-72)/(-20))/((-9)/30 - 0). Determine s(k).
14
Let g = -14 - -25. Let a(l) = 0*l**3 + 15*l**2 - l**3 + 3 - g*l**2 + 4*l. Give a(5).
-2
Suppose 28 = 29*t - 1. Let c(r) = -15*r**2 + r. Give c(t).
-14
Let u(w) = w**2 + w + 3. Suppose k + 8*d + 12 = 6*d, 0 = -4*d - 20. Suppose -4*b + 10 = 2. Let y be b/(-4)*(k + 2). Give u(y).
3
Let g(o) = 13*o**3 - o**2 - 8*o - 4. Let j(m) = 2*m**3 - m**2 + 1. Let u(t) = -g(t) + 6*j(t). Calculate u(-6).
-2
Let c(x) = x**3 - 6*x**2 - 26*x - 3. Let y be c(-3). Let t(z) = -3*z - 7. Determine t(y).
11
Let v = 8 - 1. Let a(i) = -5*i**2 + 16 + 5*i**2 - 13 - 8*i + i**2. What is a(v)?
-4
Let i(f) = f - 8. Suppose -20*c = -c - 95. What is i(c)?
-3
Let l(s) = -8*s + 4. Let f(b) = b - 1. Let u(c) = -f(c) - l(c). Let m(p) = -15*p + 7. Let y(q) = -4*m(q) - 9*u(q). Give y(-4).
11
Let i be (2 - (8 + -7))*2/4. Let m(f) be the second derivative of i*f**2 + 0 - 1/2*f**3 - 4*f - 1/12*f**4. What is m(-2)?
3
Let q(s) = -s**2 + s + 1. Let k(b) = -3*b**2 + 8*b + 7. Let u(v) = -k(v) + 4*q(v). What is u(-1)?
0
Let r(i) = 2*i + 3. Suppose 10*d - 7*d - 4*a = 0, -a - 3 = 0. What is r(d)?
-5
Let x = 39 - 43. Let i(k) be the first derivative of 2*k**2 - 3*k - 6. Give i(x).
-19
Let k(z) be the third derivative of -z**5/60 - z**4/6 - z**3/6 - 27*z**2. Calculate k(-3).
2
Let g(t) = -t + 8. Let k(s) = -8*s**2 + 12*s - 9. Let b(w) = 7*w**2 - 11*w + 8. Let y(a) = 7*b(a) + 6*k(a). Let r be y(4). Let l be 36/r*(-2)/6. Calculate g(l).
2
Suppose 15 + 52 = 3*x - 5*r, 4*x - 91 = 5*r. Suppose -2*f - x = 2*f. Let j(a) be the first derivative of a**2 + 7*a - 154. Give j(f).
-5
Let g(v) = 4*v**2 - 24*v - 14. Let p(r) = -2*r**2 + 11*r + 6. Let h(l) = -4*g(l) - 9*p(l). Determine h(2).
4
Let x(s) be the first derivative of -s**4/2 - 4*s**3/3 - s**2 - 2. Let b = 41 - 29. Let h(v) = -v**3 + 11*v**2 + 12*v - 2. Let w be h(b). Calculate x(w).
4
Let h(n) be the second derivative of 3*n**5/20 + n**4/12 - n**2/2 + 185*n. Calculate h(1).
3
Let a be 0 + 3 - (9 + -7). Let z(t) = 3*t + 3*t - 46*t**3 - 4*t + 29*t**3 - t. Determine z(a).
-16
Suppose 0 = 4*g - 60*a + 62*a + 8, -3*g - 8 = 2*a. Let d(w) = -w**2 - w - 2. Give d(g).
-2
Let h(l) = -l + 11. Suppose -19*s + 10 = -18*s. Give h(s).
1
Let f be (72/(-16))/((-1)/(-2)). Let w(u) = -13*u**2 - 4*u. Let r(n) = 26*n**2 + 9*n. Let x(o) = f*w(o) - 4*r(o). Suppose 4*q + 4 + 0 = 0. What is x(q)?
13
Let i(u) = -7 + 7*u - 13*u - 11*u**2 - 4*u. Let c(g) = -7*g**2 - 7*g - 5. Let n(k) = -8*c(k) + 5*i(k). Determine n(-6).
5
Let y(r) = r + 5. Let q be y(7). Let t(c) = 31 + 3*c - q - 18. Determine t(-1).
-2
Let l(s) be the second derivative of -s**3/6 + 13*s**2/2 - 4*s - 15. What is l(5)?
8
Suppose -37*z = -33*z + 24. Suppose -4*c = -2*c - 6. Let g(b) = -b + 1 + 8 + c*b. Give g(z).
-3
Let b(f) = f - 4. Let r(i) = i**3 - 20*i**2 + 17*i + 41. Let a be r(19). Suppose 3*v = -2*k + 6, 13 = -a*k - 0*k + v. Give b(k).
-7
Let k(h) = 8*h**2 - 4*h. Let i(q) = 7*q**2 - 3*q. Let x(o) = -7*i(o) + 6*k(o). Give x(0).
0
Suppose -19 = 2*i - 25. Let v(w) = w + 2*w + w**2 - 5 + 0*w**2 + i*w. Determine v(-6).
-5
Let h(d) = -2*d + 5. Let o(q) = -7*q + 21. Let c(l) = -21*h(l) + 5*o(l). Let v(s) = -s**3 - 2*s - 160. Let u be v(0). Let y = -159 - u. Determine c(y).
7
Let p(z) = -z**2 - 2 - 5*z + 3 - 3*z. Let j(v) = -v**2 - 174*v + 523. Let r be j(3). What is p(r)?
1
Let j(a) = -a**3 - 4*a**2 - a. Let d = -75 - -72. Let f be j(d). Let m(x) = 1 + 2 - x - 4. Calculate m(f).
5
Let r(g) = 1 + 2*g**2 + 7*g - 2*g + g**3 - 3*g. Let m(w) be the third derivative of w**5/60 - w**4/4 + w**3/2 + 2*w**2. Let f be m(5). Give r(f).
-3
Let v(c) = -c**3 - 11*c**2 - 4*c + 6. Let y(r) = 6*r**3 + 54*r**2 + 21*r - 31. Let d(m) = 11*v(m) + 2*y(m). Determine d(13).
-22
Let u(a) = -a**3 + 2*a + 1. Let o(j) = -j**2 - 15*j - 52. Let z be o(-10). Give u(z).
5
Let w be 8/6 + -4 - (-35)/21. Let t(m) be the third derivative of m**4/8 + m**3/6 + 2*m**2. Determine t(w).
-2
Let o be (-264)/44 - 13/(-2). Let v(w) be the second derivative of -1/3*w**3 + o*w**2 + 0 - 4*w. Calculate v(2).
-3
Let q(d) be the third derivative of d**6/120 - d**5/20 - 5*d**4/24 + d**3/2 - 2*d**2. Let y = 13 + -9. Let w = 8 - y. Determine q(w).
-1
Let u(c) be the first derivative of -2*c**2 + 23*c + 696. Determine u(6).
-1
Let g(f) = -2*f**3 - 2*f**2 + 2*f - 5. Let b(j) = -j + 11. Let o be b(8). Let l(k) = -k**3 - 3*k**2 + 3*k - 5. Let p(d) = o*l(d) - 2*g(d). Determine p(4).
-1
Let j(n) be the second derivative of 8*n + 0 + 5/2*n**2 + 4/3*n**3. Let u(p) = p**2 - 8*p - 5. Let s(f) = -3*j(f) - 2*u(f). Calculate s(-5).
-15
Let n(j) = j**2 + 9*j - 7. Let w be n(-10). Let q(b) be the third derivative o | {
"pile_set_name": "DM Mathematics"
} |
- 4236*r + 684 = 0. Calculate r.
1/3, 1/2, 1, 6, 38
Suppose -2*f**5/7 + 40*f**4 - 3414*f**3/7 - 452848*f**2/7 - 4537984*f/7 - 4088832/7 = 0. What is f?
-24, -11, -1, 88
Factor -3*m**3 + 6873*m**2 - 3946800*m + 11778624.
-3*(m - 1144)**2*(m - 3)
Factor b**2/8 - 53*b/4 - 791/8.
(b - 113)*(b + 7)/8
What is d in -482*d**3/3 + 17362*d**2/9 - 40*d/3 = 0?
0, 5/723, 12
Suppose -3*a**3 - 13938*a**2 + 3*a + 13938 = 0. What is a?
-4646, -1, 1
Let 3*f**5/2 + 111*f**4/2 - 483*f**3/2 + 369*f**2/2 = 0. What is f?
-41, 0, 1, 3
What is q in 2*q**5 - 7*q**4 - 79*q**3 - 168*q**2 - 108*q = 0?
-2, -3/2, 0, 9
Suppose 9*q**2 + 1078197*q - 1437612 = 0. Calculate q.
-119801, 4/3
Find s such that -2*s**5/9 - 1482*s**4 + 26698*s**3/9 + 31126*s**2/3 - 106760*s/9 - 53368/3 = 0.
-6671, -2, -1, 2, 3
Solve -x**3/7 + 179*x**2/7 + 1263*x + 13923 = 0.
-21, 221
Determine a, given that -2*a**4/9 + 15440*a**3/9 - 9927908*a**2/3 - 6651216*a + 49691070 = 0.
-5, 3, 3861
What is d in d**3/4 - 59847*d**2/4 + 895445775*d/4 - 895385929/4 = 0?
1, 29923
Factor -o**2/8 - 3703*o/8.
-o*(o + 3703)/8
Let -5*v**3 + 690*v**2 + 5885*v - 6570 = 0. Calculate v.
-9, 1, 146
Find o, given that -6*o**4 + 2835*o**3 - 988227*o**2/8 + 61233*o - 7632 = 0.
1/4, 48, 424
Determine a so that -4*a**4 + 103*a**3 - 473*a**2 - 1480*a - 900 = 0.
-5/4, -1, 10, 18
What is k in 5*k**3 - 597*k**2 + 10138*k - 3960 = 0?
2/5, 20, 99
Determine l, given that 3*l**5 - 66*l**4 - 69*l**3 = 0.
-1, 0, 23
Factor 3*t**2 - 1011*t - 135960.
3*(t - 440)*(t + 103)
What is w in 2*w**5 - 128*w**4 + 1438*w**3 + 7352*w**2 + 7896*w = 0?
-2, 0, 21, 47
Determine u so that 3*u**4 + 507*u**3 - 56703*u**2 + 1265793*u = 0.
-251, 0, 41
What is r in 347214*r**2 + 198429*r/2 + 3 = 0?
-2/7, -1/33068
Determine z so that z**3 + 26664*z**2 + 177582132*z - 2134826928 = 0.
-13338, 12
Suppose -2*q**5/7 - 3854*q**4/7 + 15504*q**3/7 + 108200*q**2/7 + 123584*q/7 = 0. Calculate q.
-1931, -2, 0, 8
Factor 2*x**4/13 + 582*x**3/13 + 44838*x**2/13 + 357858*x/13.
2*x*(x + 9)*(x + 141)**2/13
Factor -16*o**3 + 598*o**2 + 3138*o - 1260.
-2*(o - 42)*(o + 5)*(8*o - 3)
Factor -7*p**2/3 + 4462*p/3 + 2552/3.
-(p - 638)*(7*p + 4)/3
Factor q**3/5 - 25836*q**2 - 258363*q/5 - 129182/5.
(q - 129182)*(q + 1)**2/5
Factor 2*z**4 - 7300*z**3 - 2*z**2 + 7300*z.
2*z*(z - 3650)*(z - 1)*(z + 1)
Suppose 2*i**4/7 + 5450*i**3/7 - 38228*i**2/7 + 54640*i/7 = 0. Calculate i.
-2732, 0, 2, 5
Factor -15*c**2 + 21897*c + 70224.
-3*(c - 1463)*(5*c + 16)
Factor 4*v**3 + 3204*v**2 + 6392*v.
4*v*(v + 2)*(v + 799)
Suppose 3*x**3/5 + 239301*x**2/5 + 478593*x/5 + 47859 = 0. Calculate x.
-79765, -1
Determine f so that -4*f**4/7 + 24*f**3/7 - 20*f**2/7 - 96*f/7 + 144/7 = 0.
-2, 2, 3
Solve -2*n**2 + 22442*n - 22440 = 0 for n.
1, 11220
Factor -2*w**3 - 190*w**2 - 2884*w - 8624.
-2*(w + 4)*(w + 14)*(w + 77)
Factor 3*t**3 - 32088*t**2 + 64167*t - 32082.
3*(t - 10694)*(t - 1)**2
Solve 45*l**5 + 1585*l**4 - 449605*l**3 + 17982855*l**2 - 212681700*l - 48155580 = 0.
-134, -2/9, 33
Suppose 11*m**3/3 + 328*m**2/9 + 277*m/9 - 2 = 0. Calculate m.
-9, -1, 2/33
Determine n, given that -3*n**2/5 + 38436*n/5 + 38439/5 = 0.
-1, 12813
Solve -p**5/3 + 1481*p**4 - 4932839*p**3/3 - 4941727*p**2/3 + 1644280*p + 4937284/3 = 0 for p.
-1, 1, 2222
Factor o**3/7 + 7248*o**2/7 + 13111605*o/7 - 78930774/7.
(o - 6)*(o + 3627)**2/7
Factor g**2/3 + 26578*g/3 - 26579/3.
(g - 1)*(g + 26579)/3
Solve -16*t**3 - 2620*t**2 - 29136*t = 0.
-607/4, -12, 0
Solve 12*s**3 - 1520*s**2 - 34032*s + 23360 = 0 for s.
-20, 2/3, 146
Find n, given that -4*n**3 + 6304*n**2 + 57028*n + 50720 = 0.
-8, -1, 1585
Let -1638*v**3/19 - 33864*v**2/19 - 22088*v/19 - 160/19 = 0. Calculate v.
-20, -2/3, -2/273
Determine w, given that -3*w**3 - 49986*w**2 + 99993*w + 149976 = 0.
-16664, -1, 3
Determine p so that 2*p**4/3 - 5026*p**3/9 - 26944*p**2/9 - 8992*p/3 = 0.
-4, -4/3, 0, 843
Solve 5*g**4 + 26070*g**3 - 104455*g**2 - 495780*g - 365260 = 0 for g.
-5218, -2, -1, 7
Determine z, given that -3*z**5/5 - 51*z**4/5 + 1659*z**3/5 + 7179*z**2/5 + 5472*z/5 = 0.
-32, -3, -1, 0, 19
Determine c, given that 3*c**5/4 - 1305*c**4/4 - 5259*c**3/4 - 3951*c**2/4 = 0.
-3, -1, 0, 439
Factor h**2 + 42676*h + 455310244.
(h + 21338)**2
Find f such that -2*f**5/7 + 2930*f**4/7 - 29156*f**3/7 + 81528*f**2/7 - 69840*f/7 = 0.
0, 2, 6, 1455
Determine i, given that 2*i**3/5 + 638*i**2/5 + 41392*i/5 - 85352/5 = 0.
-227, -94, 2
Find b, given that -3*b**4/2 + 150*b**3 + 1869*b**2 - 4182*b + 4329/2 = 0.
-13, 1, 111
Determine m so that 102*m**5 + 200*m**4 - 2864*m**3 + 4804*m**2 - 2326*m + 84 = 0.
-7, 2/51, 1, 3
Find m such that 20*m**5 - 92*m**4 + 20*m**3 + 204*m**2 + 72*m = 0.
-1, -2/5, 0, 3
Determine n, given that 65*n**2/7 + 5261*n/7 - 324/7 = 0.
-81, 4/65
Factor -29646985489*c**2/4 + 172183*c/2 - 1/4.
-(172183*c - 1)**2/4
What is n in -3*n**5/4 - 15063*n**4 - 302766219*n**3/4 - 1209769749*n**2/2 - 1587263769*n - 1360279494 = 0?
-10038, -3, -2
Factor -t**2 + 4985*t - 4984.
-(t - 4984)*(t - 1)
Find w such that 4*w**3/9 + 1064*w**2 + 6380*w/3 + 9568/9 = 0.
-2392, -1
Determine q, given that 5*q**5/3 - 7618*q**4/3 + 951296*q**3 + 12189696*q**2 = 0.
-62/5, 0, 768
Factor 2*x**3/5 + 1158*x**2/5.
2*x**2*(x + 579)/5
Determine c so that c**4/3 + 904*c**3/3 + 264406*c**2/3 + 9055368*c + 301020867 = 0.
-371, -81
Suppose -3*c**4 - 447*c**3/4 - 771*c**2/4 + 30327*c/4 + 7623/4 = 0. Calculate c.
-33, -11, -1/4, 7
Solve -2*p**5/11 - 592*p**4/11 - 256*p**3 + 27564*p**2/11 + 61218*p/11 + 31428/11 = 0.
-291, -9, -1, 6
Factor x**3 - 6450*x**2 + 19341*x.
x*(x - 6447)*(x - 3)
Determine c, given that -6*c**5/7 - 69627*c**4/7 - 202083639*c**3/7 - 72115545*c**2 - 100885191*c/7 + 201909606/7 = 0.
-5801, -2, -1, 1/2
Factor 2*i**2/7 + 952*i - 26688/7.
2*(i - 4)*(i + 3336)/7
Factor -125*h**3 - 47275*h**2 - 56595*h - 16965.
-5*(h + 377)*(5*h + 3)**2
Let -316*c**2 - 56588*c - 4296 = 0. What is c?
-179, -6/79
Solve -4*x**2 - 20776*x - 41536 = 0 for x.
-5192, -2
Find y such that 3*y**5 - 714*y**4 - 726*y**3 + 2136*y**2 + 3579*y + 1434 = 0.
-1, 2, 239
Let v**2/6 - 121*v/6 + 595 = 0. Calculate v.
51, 70
Solve -j**3/3 + 59*j**2 - 342*j = 0.
0, 6, 171
What is y in -5*y**4 - 125*y**3 - 555*y**2 + 2925*y = 0?
-15, -13, 0, 3
Let -6*i**3 + 279*i**2 + 2088*i - 1113 = 0. What is i?
-7, 1/2, 53
Factor -z**3/2 - 41765*z**2/2 + 2*z + 83530.
-(z - 2)*(z + 2)*(z + 41765)/2
What is v in 4*v**2 - 1228*v + 20808 = 0?
18, 289
Find k such that -9*k**2 - 9636*k + 3213 = 0.
-1071, 1/3
Suppose a**4/5 - 58*a**3/5 + 512*a**2/5 - 1568*a/5 + 1536/5 = 0. Calculate a.
2, 4, 48
Factor -2*f**4/7 - 26*f**3 + 2020*f**2/7.
-2*f**2*(f - 10)*(f + 101)/7
Factor -44*x**2 - 4252*x - 6840.
-4*(x + 95)*(11*x + 18)
Let -2*p**4 + 68438*p**3 - 615828*p**2 + 1642112*p - 1094720 = 0. Calculate p.
1, 4, 34210
Factor 5*i**3 + 9580*i**2 + 4588820*i.
5*i*(i + 958)**2
Determine f so that 2*f**5 + 716*f**4/5 + 12562*f**3/5 + 3688*f**2 + 2008*f/5 - 4576/5 = 0.
-44, -26, -1, 2/5
Solve 2*y**3/3 + 12970*y**2/3 - 142912*y/3 = 0.
-6496, 0, 11
Factor 2*m**3 - 12366*m**2 - 24738*m - 12370.
2*(m - 6185)*(m + 1)**2
Suppose g**3/3 + 1675*g**2 - 10059*g + 15093 = 0. Calculate g.
-5031, 3
Determine m, given that -m**4/9 + 59*m**3/9 + 4*m**2/9 - 236*m/9 = 0.
-2, 0, 2, 59
Factor 4*b**2 + 53952*b + 539120.
4*(b + 10)*(b + 13478)
Factor 3*w**2 - 2472*w - 45468.
3*(w - 842)*(w + 18)
Factor 571*v**3/4 + 2285*v**2/8 + v/4.
v*(v + 2)*(1142*v + 1)/8
Determine k so that 6*k**3/13 + 7606*k**2/13 - 40760*k/13 - 30552/13 = 0.
-1273, -2/3, 6
Determine t so that -5*t**2 - 17285*t = 0.
-3457, 0
Find p, given that 2*p**3/9 - 596*p**2/9 + 30082*p/9 + 2284880/9 = 0.
-40, 169
Factor -2*u**2 - 720416*u - 720414.
-2*(u + 1)*(u + 360207)
Factor 4*u**3 + 288*u**2 + 1104*u + 1088.
4*(u + 2)**2*(u + 68)
Factor -5*x**3 + 24365*x**2 - 1400555*x + 20247075.
-5*(x - 4815)*(x - 29)**2
Factor -o**4/4 - 118121*o**3/2 - 13952570641*o**2/4.
-o**2*(o + 118121)**2/4
Factor -3*d**3 + 36*d**2 + 56199*d.
-3*d*(d - 143)*(d + 131)
Suppose -r**2 + 292*r - 18612 = 0. What is r?
94, 198
Factor u**3/3 - 20053*u**2/6 + 40094*u/3 - 40090/3.
(u - 2)**2*(2*u - 20045)/6
Solve -2*f**2 + 34714*f + 104160 = 0 for f.
-3, 17360
Suppose 3*a**4/4 - 123*a**3 + 20007*a**2/4 - 120285*a/2 = 0. What is a?
0, 27, 110
Determine v so that -13*v**5 - 1 | {
"pile_set_name": "DM Mathematics"
} |
p be 0 + (1 - (1 + -2)). Let g(u) = 7*u**2 - 2*u. Calculate the remainder when 18/4*-2*(-20)/(-20)*-5 is divided by g(p).
21
Let m = -833 + 1442. What is the remainder when m is divided by 61?
60
Let o(p) = -4*p + 2*p - 21 + 18 + p. What is the remainder when 5 is divided by o(-5)?
1
Let n = 480 + -313. Calculate the remainder when n is divided by 42.
41
Let b = 182 - 39. Calculate the remainder when b is divided by 73.
70
Suppose 0 = 2*t - 11 + 5. Let a = -13 - -18. Suppose 7 = x + a. Calculate the remainder when t is divided by x.
1
Suppose 4*x + 11*j - 10*j = 553, 5*x = -5*j + 680. What is the remainder when x is divided by 30?
19
Let h(n) = -2 + 0 - 6*n - 3. Let g(c) = -c**3 + 3*c**2 - 2*c + 2. Calculate the remainder when g(-4) is divided by h(-5).
22
Suppose 0 = -5*z + 2*s - 28 + 133, 2*z + s = 42. Let l = 12 - 10. Suppose 2*d + 2 = -0, -l*d = -5*h + 32. What is the remainder when z is divided by h?
3
What is the remainder when (2/(-5)*242)/(18/(-45)) is divided by 27?
26
Suppose -2*k = -274 + 178. What is the remainder when k is divided by 9?
3
Let t be -1 - -3 - -2 - -4. Suppose -36 = t*v - 12*v. What is the remainder when 4 + v/(-2)*-10 is divided by 17?
15
Let c(q) = q**3 - 10*q**2 - 12*q + 11. Let r be c(11). Suppose -3*f = s, -2*s + r*s + 22 = -5*f. Calculate the remainder when 10 is divided by s.
4
Suppose -30*x = -180 - 240. What is the remainder when 108 is divided by x?
10
Suppose -2*c + 46 = -5*b, -10*b + 6*b + 36 = c. What is the remainder when 81 is divided by c?
25
What is the remainder when 82 is divided by 3 - 34*(6 + (-26)/4)?
2
Suppose -1014 = u - 1090. Calculate the remainder when u is divided by 3/(-9) - 183/(-9).
16
Let b(x) = -x**2 - 6*x - 5. Let g be b(-5). Suppose 2*q - 20 - 2 = g. Calculate the remainder when 37 is divided by q.
4
Suppose 2*s + 5 = -3*s. Let w be (-2 + 4 + -1)*s. Calculate the remainder when 80 is divided by w/(-3) - (-240)/9.
26
Suppose 0 = 4*o + 20, 69 + 26 = k - o. What is the remainder when k is divided by 34?
22
Let c(q) = q**2 + 17*q + 74. What is the remainder when (-70)/(-21)*(2 + 4) is divided by c(-9)?
0
Let c(u) = -2*u**2 - 27*u - 5. Let p be c(-13). Suppose 6*d - x = p*d - 98, -2*x + 98 = 2*d. Calculate the remainder when d is divided by 17.
15
Suppose 15*s + 120 = 17*s. What is the remainder when -18 - -20 - (2 - 119 - -2) is divided by s?
57
Let l(s) = 26*s - 5. Let b be l(1). What is the remainder when (3 - 0) + b + -2 is divided by 8?
6
Suppose 0 = 4*p + o - 4*o - 514, 0 = -5*o + 10. What is the remainder when p is divided by 46?
38
Let y(k) = -k**2 + 8*k + 16. Let d be y(7). Let i = d - 11. Let v(o) = 4*o - 4. What is the remainder when v(i) is divided by 23?
21
Calculate the remainder when 40/240 - (-1)/6*1535 is divided by 65.
61
Suppose -330 = -5*a + 4*d, 2*a - 166 = -3*d - 57. Let t(r) = r**2 - 7*r + 9. Let u be t(-9). Let z = u - a. What is the remainder when z is divided by 23?
22
Suppose 0 = v - 4*w - 45, 15*v - 2*w = 13*v + 108. What is the remainder when 576 is divided by v?
6
Suppose 2*k + 511*m - 58 = 509*m, 87 = 3*k + m. Calculate the remainder when 605 is divided by k.
25
Calculate the remainder when 27 is divided by (-12)/22 + (-5516)/(-2167).
1
Let i = 96 + -95. Calculate the remainder when (-60)/2*(-90)/25*i is divided by 22.
20
Let c be (-2)/8 + (-385)/(-20) + -1. Let a = -10 + 26. Let q = c + a. Calculate the remainder when q is divided by 18.
16
Let u(g) = g + 5. Let x be u(-7). Let h(s) = -3*s**3 - 2*s**2 - 4. Calculate the remainder when h(x) is divided by 5.
2
Suppose 4*s + 4 = 6*s. Suppose 6 = -s*d + 14. Suppose d*r + r - 35 = 0. Calculate the remainder when 19 is divided by r.
5
Let z(f) = -3*f + 1. Suppose -5*i + 1 = 11. Let p(c) = c**2 - 18*c + 37. Calculate the remainder when p(17) is divided by z(i).
6
Let i = 51 - 46. Suppose -i*q + 4*w + 61 = -0*w, -8 = 2*w. What is the remainder when 33 is divided by q?
6
Let b = -49 + 22. Let s(q) = 3*q**3 - q**2 + q + 1. Let f be s(3). What is the remainder when 6/b - f/(-18) is divided by 3?
1
Suppose d - 3*u + 2 = 35, 2*d - 2*u - 54 = 0. Let s be d*2/3 + 1. Let j = -5 + s. Calculate the remainder when 34 is divided by j.
10
Let z = 89 - 93. Calculate the remainder when 33 is divided by -4 + z + (29 - 2).
14
Suppose h - 3*x = 21, -9 = -3*h + 5*x + 34. Suppose l + 3 = 5. Calculate the remainder when h is divided by 4 + (-3)/1 + l.
0
Let u = -99 - -105. Suppose 0 = -x - q + 58, 282 = 5*x - 9*q + u*q. What is the remainder when 113 is divided by x?
56
Suppose -9*j + 2*v = -5*j - 390, -291 = -3*j + 2*v. Calculate the remainder when j is divided by 26.
21
Let u be ((-29)/3)/((-8)/(-624)). What is the remainder when (-21)/(-35) + u/(-10) is divided by 20?
16
Let l = 85 - 191. Let y = -80 - l. What is the remainder when 48 is divided by y?
22
Suppose 3*s = -2*s + 190. Let o = -33 + s. Calculate the remainder when o is divided by 1.
0
Suppose 2*h - 51 = -4*p + 33, 3*h + 21 = p. Let q(t) = 2*t + 3. Let j be q(5). Let m = p - j. Calculate the remainder when 39 is divided by m.
7
Let z(n) be the third derivative of -n**4/8 - 6*n**3 - 15*n**2. What is the remainder when 18 is divided by z(-13)?
0
Suppose 5*k = 4*d + 88 - 375, -4*k - 148 = -2*d. What is the remainder when d is divided by 12?
8
Let f(q) be the third derivative of 1/60*q**5 + 3/8*q**4 + 17/6*q**3 + 4*q**2 + 0*q + 0. What is the remainder when f(-12) is divided by 14?
11
Let m be (-6)/(((-42)/(-8))/7). Let k = 17 - m. What is the remainder when k is divided by 7?
4
Suppose 0 = -h + 123 + 60. Suppose 9*j = 20*j - 44. Suppose k = j*k - h. What is the remainder when k is divided by 21?
19
Let f(p) = 12*p - 33. Let k(t) = t. Let c(l) = f(l) - 4*k(l). What is the remainder when c(10) is divided by 16?
15
Suppose -2*r + 24 = -10. Let a = r - 10. Suppose 5*c - w = 64, -10*c + 5*w = -14*c + 28. Calculate the remainder when c is divided by a.
5
Let f = 2011 + -1917. What is the remainder when f is divided by 39?
16
Suppose x - 85 = -43. What is the remainder when 206 is divided by x?
38
Suppose -22*u - 442 = -2092. What is the remainder when u is divided by 40?
35
Let w(a) = -a**3 - 8*a**2 + 19. Let x(m) = 2*m**2 - 5*m + 10. What is the remainder when x(-6) is divided by w(-8)?
17
Suppose 0*x = 5*x. Let t = 27 + x. Let l = t - 15. Calculate the remainder when 22 is divided by l.
10
Suppose 5*z + 15 = 0, -5*z = 6*w - 3*w. Calculate the remainder when 26 is divided by 18/45 - (1 - 48/w).
8
Suppose 3*w - 4 = -4*z, -5*w - 2*z - z = -14. Suppose w*g - 351 = 25. Calculate the remainder when g is divided by 25.
19
Let q be (-20)/(-110) + (-2)/11. Suppose -40 = -q*b - 5*b. What is the remainder when 47 is divided by b?
7
Suppose 133*h = 139*h - 84. Let t = -76 + 117. Calculate the remainder when t is divided by h.
13
Suppose -3073 = 473*o - 480*o. Calculate the remainder when o is divided by 26.
23
Calculate the remainder when 125 is divided by (16/(-10))/((-38)/2375).
25
Let t(q) = -q**2 + 8*q + 2. Let r be t(7). Let a(l) = 7 - 13*l**2 + r*l**2 + 3*l**2 - 8*l. What is the remainder when a(-8) is divided by 2?
1
Let t(u) = u**2 + 14*u - 65. What is the remainder when t(-19) is divided by 18?
12
Let y(b) = 3*b**2 - 11*b + 24. What is the remainder when y(11) is divided by 45?
41
Let s(q) = -q**2 + q + 2. Let i be s(0). Suppose n - 16 = -c, i*n = 3*c - 77 + 4. Suppose c*f + 548 = 25*f. What is the remainder when f is divided by 35?
32
Let x(g) = -g**3 + 2*g**2 + g. Let k(h) = h**2 - 22*h + 167. What is the remainder when k(18) is divided by x(-2)?
11
Let x be 6/198*93 - (-4)/22. Calculate the remainder when (3 - -5)*(x/2 + 0) is divided by 2.
0
Let b(k) = -2*k**2 + 2*k - 16. Let o(z) = -z. Let m(j) = -b(j) + 6*o(j). What is the remainder when 38 is divided by m(3)?
8
Let y = -20 - -8. Let i = 20 + y. Suppose -v = p - 16, -2*v + 2*p = -3*v + 18. What is the remainder when v is divided by i?
6
Let j = 1007 - 865. Calculate the remainder when j is divided by 18.
16
Calculate the remainder when -38*(-8)/12*3 is divided by 11.
10
Let x(t) = -t**2 - t + 13. Let r be 2/(-7) - (-187)/(-7). Let z = r - -27. What is the remainder when 38 is divided by x(z)?
12
Suppose -2920 = -10*g - 0*g. Calculate the remainder when g is divided by 49.
47
Suppose 0 = 165*o - 169*o + 296. Calculate the | {
"pile_set_name": "DM Mathematics"
} |
4*r + 5*u - 25. Is 3/7 at most r?
False
Let m(a) be the second derivative of -a**4/12 - 5*a**3/6 + 3*a**2 + a. Let z be m(-6). Let b = 7 + -6. Which is smaller: z or b?
z
Let v(m) = m**2 + 2*m - 3. Let z be v(-3). Suppose -5*x + 2*h = 8, 3*h = 3*x + h + 4. Let o be 1/((-1)/x) + z. Is 2/3 smaller than o?
True
Let z be ((-10)/(-35))/(-1 + -1). Let k = -17 + 17. Which is smaller: z or k?
z
Let p = 14 - 15.1. Let v = -1.4 - p. Which is smaller: v or -1?
-1
Let l = 0.32 + -0.12. Is -1/15 <= l?
True
Let l(u) = -u**2 - u + 2. Let y be l(-2). Let c(m) = m - 9. Let k be c(y). Let r = 7 - 16. Is r smaller than k?
False
Let f(p) = -p - 11. Let i be f(-11). Which is greater: i or -17?
i
Let c(o) = -6*o**3 - 14*o**2 - 1. Let u(s) = 7*s**3 + 15*s**2 + 2. Let p(k) = -6*c(k) - 5*u(k). Let f be p(-9). Let r = -7 - -3. Is f at least r?
True
Let q = -22 - -11.9. Let n = q - -9. Let o = n + 0.1. Are 2/7 and o nonequal?
True
Let u = -242/9 - -20338/585. Let z = 39/5 - u. Is -1 != z?
True
Suppose -m + 0 = 1, 5*k = -5*m - 45. Let t be ((-18)/4)/(6/k). Let l be (-6)/20*-4*5. Is l at most t?
True
Let x(s) = s**2 - 12*s + 11. Let m be x(11). Suppose 202 = 2*r - 4*r. Let h = r + 704/7. Which is smaller: h or m?
h
Let f be (60/(-16))/((-8)/172). Let q = f + -7175/88. Which is greater: 0 or q?
0
Let d be 3 - -2 - (-44)/(-11). Which is greater: d or 2/55?
d
Suppose -9 + 4 = -r. Let p(n) be the second derivative of -n**4/12 + 5*n**3/6 + n**2/2 + 10*n. Let c be p(r). Do 3/10 and c have the same value?
False
Let z(q) be the second derivative of q**4/3 + q**3/3 + q**2/2 - 2*q. Let h be z(-1). Suppose -2*n + 10 = 4. Is h != n?
False
Suppose -d - 15 = -6*d. Let h(u) = u**2 - 2*u + 2. Let r be h(d). Which is smaller: 2/7 or r?
2/7
Suppose -4*f + 6*f = 2*d, -3*f = -4*d. Suppose 4*p = 4*y - 60, 4*p + 5*y = -f*p - 15. Let s(h) = -h**3 - 10*h**2 - h - 12. Let q be s(p). Is q equal to 2?
False
Suppose -2*y + 7*y + 4*o = 7, 0 = -4*y - 4*o + 4. Let m be ((-1)/2)/((-4)/8). Let u be 1 + m + (-9)/y. Is u at least -2?
True
Let t = -2/173 + 356/865. Does t = -1?
False
Let f be 15/(-20) - (-78)/8. Let p be (-10585)/45 + 2/f. Let n = p - -3997/17. Which is greater: n or -1?
n
Let w = 75773/82 + -924. Let v = 283/738 + w. Is -1 bigger than v?
False
Let x = 0.049 + -2.099. Let k = x + 0.05. Which is greater: 0 or k?
0
Let l = -0.22 + 25.22. Is l > -1?
True
Suppose t - 6 = p + 5, 2*p = -t - 31. Suppose 19*x - 23*x = 52. Which is greater: p or x?
x
Suppose 2*w - 2*t = -20, -3*t - 17 = -5*w - 63. Which is greater: -7 or w?
-7
Let z(c) be the second derivative of c**5/20 - c**4/6 - 2*c**3/3 + 3*c**2/2 - 2*c. Let b be z(3). Suppose 4*n = -b - 16. Is -3 < n?
False
Let l be 7/1 + -4 - 2. Is l < -2/39?
False
Let n(b) = -b**2 - 8*b - 4. Let f be n(-5). Let j = 12 - f. Do 0 and j have the same value?
False
Suppose 0 + 6 = 2*i. Let v be (4 - 3) + (-7)/i. Which is smaller: -1 or v?
v
Let x = 10 - 21. Let r = -359 - -360. Which is smaller: r or x?
x
Suppose 5*i - k - 24 = 0, -i - 3*i + k = -20. Suppose 5*l + i = l - n, l - 4*n = 16. Let u(y) = y**2 + 4*y + 3. Let v be u(-3). Is v <= l?
True
Suppose 0 = 2*v + r - 14, r + 46 = 5*v - 2*r. Is 5 less than or equal to v?
True
Let t be 2*1*(-3 - -1). Let f be (-3 - 18/(-4))*t. Is f equal to -5?
False
Let c = 1051/5 + -211. Suppose 21 = -b + 4*p, b + 39 = 5*p + 13. Which is greater: c or b?
c
Let m(p) be the second derivative of -p**4/12 + p**2 + 5*p. Let k be m(-2). Which is bigger: k or -11/4?
k
Let s = -180 + 167. Is s less than -13?
False
Let q = -0.084 - 0.016. Which is smaller: -20 or q?
-20
Let s = 2 + -2. Let z be (2 - s)*4/36. Let h = -180/91 - -22/13. Is h equal to z?
False
Let u = 11 + 17. Let w = u + -17. Let z = w + -6. Which is bigger: z or 6?
6
Let z(k) = -k**2 + 11*k - 9. Let r be z(10). Let c(h) = -7*h - 1. Let q be c(r). Is -8 smaller than q?
False
Let n = 3 + -2.8. Let w = -0.3 + n. Let r = -0.07 - 0.13. Which is bigger: r or w?
w
Let i be (-3)/(-6)*(-4)/(-18). Let j be -3 + 3 - (0 - -1). Are j and i non-equal?
True
Let t(p) be the third derivative of -p**2 + 1/4*p**4 + 0*p - 1/60*p**5 + 0 - 7/6*p**3. Let z be t(5). Which is greater: z or -1?
-1
Suppose 0 = -j - 2*j - 6. Let a be 2/2*j/(-6). Which is smaller: a or 1?
a
Let w = 2668/3 - 882. Is w > 6?
True
Let x(i) = -2*i + 16. Let j be x(7). Does 1 = j?
False
Suppose q + 1 = -5*d + 2, d - 3 = -3*q. Let r be (q/9)/(-10 - -9). Suppose 0 = -g + 2*g + 1. Is r != g?
True
Suppose 10 = -3*m + 2*z, -m + z = 4*z - 4. Let v be (-2)/(m + 2 + 10). Which is smaller: v or 2?
v
Let r be 70/(-20)*(-72)/14. Let u be -1 - (0 - 2 - 17). Let v be r/(-42)*(-4)/u. Which is greater: v or 0?
v
Suppose -2*i - 3*i = -15. Let l(y) = -y**3 + 7*y**2 - 7*y + 8. Let c be l(6). Suppose i*q = c*q + 1. Is q <= 0?
False
Let y be 1/26*(2 - 3). Which is smaller: y or 0?
y
Suppose 108 = -m - 23. Let p = m + 527/4. Is p greater than 2?
False
Let s be 3/(-12) + (-230)/8. Which is bigger: s or -28?
-28
Let n(o) = -2*o**2 + 11*o + 21. Let m be n(7). Which is smaller: 2/239 or m?
m
Let r = 45 - 21. Which is greater: 23 or r?
r
Suppose 2*p = -5 + 9. Let j be (-4)/p*(-6)/(-4). Is -3 at least j?
True
Suppose 0 = -2*x + 6*x + 20. Let k = 10 + x. Suppose 15 - 5 = -k*h. Is h bigger than -1/2?
False
Let j be -2 + 48/22 + 18/(-99). Is -9/8 less than j?
True
Suppose 5*g = -2*i + 17, -3*i = i + 16. Let j = 36 - 26. Let v be (8/(-10))/((-2)/j). Are v and g equal?
False
Let b = 155 + -156. Is -53 > b?
False
Suppose -2*i - 10 = 4. Is i less than -6?
True
Let a(g) = -3*g + 60. Let j be a(20). Is 2 greater than or equal to j?
True
Let f(j) = j**3 - 5*j**2 + 3*j + 4. Let g be f(4). Does -2/13 = g?
False
Let q be (-54)/(-9)*(-6)/(-9). Are 21/4 and q unequal?
True
Let x be (-2 - (-56)/30) + 0. Let k(f) = -f**3 + 2*f**2 - f. Let g be k(2). Let r be ((-6)/(-4) + -2)*g. Which is smaller: r or x?
x
Suppose -19*z = -9*z. Which is smaller: -6 or z?
-6
Let o(f) = -4*f - 1. Let m be o(-1). Let s = m - 0. Which is bigger: 1 or s?
s
Let w(m) = m**3 - 5*m**2 + 3. Let n(r) = r**2 + 8*r + 7. Let a be n(-7). Let f be 5 + (-2 - -2) - a. Let h be w(f). Which is greater: 1 or h?
h
Suppose -f - 5*u - 95 = 3*f, -3*f - 3*u = 75. Let l be ((-8)/f)/(3/5). Is 0 bigger than l?
False
Let m be -1 + ((-4)/16 - (-29)/4). Does m = 3?
False
Suppose -2*l = -4*a - 18, a + 5*l - 1 = -0. Let j be 38/60 - a/(-8). Let q be ((-19)/76)/(2/(-8)). Which is smaller: j or q?
j
Let m = -7 + 5. Let f = -6 - m. Let i = 1.4 + -1.3. Is f != i?
True
Let j be (4/(-10))/(51/15). Does 0 = j?
False
Let s be 28/10 + 1/5. Suppose s*y + 4 = y. Which is bigger: -3 or y?
y
Let p = -27521/3 - -113147/12. Let l = 241 - p. Let w = 16 + l. Does w = 2?
False
Let m(y) = y**3 + 7*y**2 - 9*y - 8. Let j be m(-8). Let q be (-1 - (-1 - j)) + 2. Is 2 less than or equal to q?
True
Let d(w) = w**3 + 7*w**2 + 7*w. Let z be d(-6). Which is smaller: z or -7?
-7
Let p = 13 - 3. Let z = p - 12. Is 0 < z?
False
Suppose -4*a + 23 = -21. Which is smaller: a or 12?
a
Let u(y) = -y**2. Let g be u(1). Let x(b) = -b**3 + b**2 + b + 1. Let i be x(g). Are i and 3 equal?
False
Let w be (-16)/(-12)*12/8. Let m = 11 - 7. Suppose -m*b + b + 28 = -5*f, 5*b - w*f - 15 = 0. Is b bigger than 1?
False
Let d = -55.9 + 53. Let x = d - -3. Do 1 and x have different values?
True
Let j(v) = 0*v + 0 - 3 - 2*v + 2. Let h be j(1). Let s = 3 + h. Which is bigger: s or 1?
1
Let x = -45 + 3. Are x and -44 nonequal?
True
Let n be (-8)/100 + 0 - 0. Is n bigger than -1?
True
Let l = 90 + -541/6. Let f = l - -1/3. Which is greater: f or -1?
f
Suppose -5*z + 3 = -2*z. Suppose v + z = 2. Is 2/3 smaller than v?
True
Let p be 24/(-16) - 2/4 - 11. Which is bigger: -11 or p?
-11
Let o = -2/475 + 1439/3325. Let c(p) = -p**2 - 9*p + p + 8 + 2*p**2. Let n be c(7). Which is smaller: n or o?
o
Let i = 215/38 + -3/19. Let w(u) = u**2 + 8*u - 13. Let d be w(-10). Which is bigger: d or i?
d
Let b = -18 + 18. Let x(f) = f - 3. Let n be x(7). Does b = n?
False
Let l(d) = d + 1. Let t be l(-1). Let o = 1 + t. Which is smaller: o or -2/13?
-2/13
Suppose s + 25 = -4*s. Suppose -j - j = 4*g + 12, -g + j - 6 = 0. Which is smaller: s or g?
s
Let m = 7 - 6. Let w = -11 + 11. Is w greater than or equal to m?
False
Let z = -5.4 - -5.03. Let o = z + 0.17. Is o != 6?
True
Suppose o + 8 | {
"pile_set_name": "DM Mathematics"
} |
the greatest common factor of 31653676 and 344?
172
Calculate the greatest common divisor of 5272351 and 98.
49
What is the highest common divisor of 9140 and 1933930?
10
What is the greatest common divisor of 127816 and 5928?
104
What is the highest common factor of 141438271 and 2782?
1391
Calculate the highest common divisor of 7248 and 124102672.
2416
Calculate the greatest common divisor of 7143621 and 357.
51
Calculate the highest common divisor of 69736376 and 3824.
1912
Calculate the highest common divisor of 32435 and 706615.
65
What is the greatest common divisor of 12913 and 1065711?
37
Calculate the highest common factor of 60697 and 128702.
203
Calculate the greatest common factor of 29467444 and 556.
556
Calculate the highest common divisor of 78 and 130514033.
13
What is the highest common factor of 132 and 38096476?
44
Calculate the greatest common divisor of 695286 and 313938.
1926
Calculate the greatest common divisor of 1035989 and 52049.
713
Calculate the greatest common divisor of 39591234 and 254.
254
Calculate the highest common factor of 9540884 and 12116.
932
What is the highest common divisor of 288 and 226208?
32
What is the highest common divisor of 2500381 and 11077?
1007
Calculate the highest common factor of 16032620 and 180.
20
What is the greatest common divisor of 301 and 2026547?
43
What is the greatest common divisor of 14762 and 9194306?
242
What is the greatest common factor of 48384 and 6256656?
3024
What is the greatest common divisor of 17080 and 96746?
122
What is the highest common factor of 43008 and 135912?
168
What is the greatest common factor of 4653 and 2723039?
517
What is the highest common factor of 1363 and 358411?
29
What is the highest common divisor of 7317 and 188525757?
813
Calculate the highest common divisor of 752 and 52827248.
752
What is the highest common factor of 22670356 and 8?
4
Calculate the highest common factor of 2915 and 1100280.
265
Calculate the greatest common divisor of 4061 and 95237.
131
Calculate the greatest common factor of 265626 and 247077.
27
What is the greatest common divisor of 31821283 and 34001?
281
What is the highest common factor of 46934 and 16802?
62
What is the greatest common factor of 89628 and 3715294?
2134
Calculate the highest common factor of 760 and 5182592.
152
Calculate the highest common divisor of 2952 and 10585503.
369
Calculate the greatest common divisor of 6475696 and 48.
16
Calculate the greatest common divisor of 195819 and 2874.
3
What is the greatest common divisor of 7164 and 23304492?
7164
Calculate the greatest common factor of 503540 and 560.
20
What is the greatest common factor of 29550671 and 8859?
2953
What is the greatest common divisor of 3043120 and 32?
16
What is the greatest common factor of 105 and 17194765?
35
Calculate the highest common factor of 177552 and 72217632.
6576
Calculate the greatest common factor of 11011 and 471779.
847
What is the greatest common factor of 1112050704 and 1392?
1392
What is the greatest common divisor of 164 and 17286796?
4
What is the greatest common divisor of 54 and 3007386?
18
What is the greatest common factor of 418791929 and 58?
29
Calculate the greatest common divisor of 3136 and 3090752.
448
Calculate the highest common factor of 47555440 and 822.
274
Calculate the highest common divisor of 18495 and 8663195.
685
What is the greatest common divisor of 7799 and 1009616?
709
Calculate the greatest common divisor of 1231922311 and 5155.
1031
What is the highest common factor of 219937122 and 1881?
171
What is the highest common divisor of 6014523 and 1?
1
What is the greatest common factor of 1861028954 and 1202?
1202
Calculate the highest common divisor of 98 and 659687.
49
What is the highest common factor of 533933 and 27641974?
8753
What is the highest common divisor of 5339250 and 135?
135
Calculate the highest common divisor of 11292094 and 176.
22
Calculate the greatest common divisor of 10511205 and 3725.
745
What is the highest common factor of 19317 and 593751?
141
What is the highest common divisor of 47 and 8798071?
47
Calculate the highest common divisor of 199 and 72456298.
199
What is the greatest common divisor of 19617645 and 201954?
1041
Calculate the highest common divisor of 6694854 and 37.
37
Calculate the greatest common divisor of 702 and 47039967.
351
Calculate the highest common factor of 88107 and 2686239.
2049
What is the greatest common factor of 1824 and 7081376?
608
What is the highest common divisor of 40818490 and 10?
10
What is the greatest common factor of 1534 and 25696801?
767
What is the highest common factor of 16526360 and 120?
40
Calculate the greatest common divisor of 12311 and 38987.
13
What is the greatest common divisor of 3256 and 8275531?
407
What is the highest common factor of 25542 and 570834?
594
What is the greatest common factor of 1448851 and 6948?
193
What is the highest common factor of 3627 and 231207951?
1209
What is the greatest common divisor of 15 and 45140097?
3
Calculate the highest common factor of 519078250 and 1450.
1450
What is the highest common factor of 348 and 4511211?
87
What is the greatest common divisor of 7002 and 34403160?
2334
Calculate the greatest common factor of 21988610 and 6944.
434
Calculate the highest common factor of 4557882 and 7056.
294
Calculate the greatest common divisor of 93600 and 2152890.
90
Calculate the greatest common factor of 5050520 and 360.
40
Calculate the greatest common factor of 149335 and 80.
5
What is the highest common divisor of 4563 and 2585223?
27
What is the greatest common divisor of 908316 and 4554?
414
What is the greatest common divisor of 172783 and 32?
1
What is the greatest common divisor of 7489233 and 206?
103
What is the greatest common factor of 2211505 and 152?
19
Calculate the greatest common factor of 813483 and 154961.
83
Calculate the highest common factor of 176262 and 8178.
174
What is the greatest common factor of 6058715 and 17420?
65
What is the highest common factor of 1228045 and 19643?
13
What is the highest common factor of 91455 and 713076?
273
Calculate the highest common factor of 82 and 4951.
1
What is the greatest common divisor of 17612 and 2573942?
518
Calculate the highest common factor of 16684 and 2109362.
194
What is the highest common divisor of 19629792 and 54249?
4173
What is the greatest common factor of 232889 and 1295225?
503
Calculate the greatest common factor of 18415 and 155005.
145
What is the greatest common factor of 14 and 420278852?
14
What is the greatest common divisor of 390 and 30358965?
195
What is the greatest common factor of 82 and 461291?
41
Calculate the greatest common factor of 5215 and 14894785.
745
Calculate the highest common divisor of 25 and 1234053500.
25
What is the greatest common factor of 891210 and 103334?
122
What is the highest common divisor of 5183292 and 1464?
732
What is the highest common factor of 461170 and 493270?
1070
What is the greatest common factor of 11796 and 51924?
12
Calculate the greatest common divisor of 2212 and 6063092.
2212
What is the greatest common factor of 6990 and 1284296?
466
What is the highest common divisor of 89115 and 850395?
195
What is the highest common divisor of 792 and 126472632?
264
Calculate the highest common divisor of 10700 and 7453620.
2140
Calculate the highest common factor of 646769 and 531743.
1009
What is the highest common factor of 826749 and 396?
99
Calculate the greatest common divisor of 3878905 and 2525.
505
Calculate the greatest common divisor of 406 and 14973322.
14
What is the greatest common factor of 559024290 and 990?
990
What is the highest common divisor of 80 and 161047160?
40
What is the greatest common factor of 17860 and 84065140?
940
What is the greatest common factor of 444584 and 24752?
952
What is the greatest common factor of 6045 and 47024520?
465
What is the highest common divisor of 414 and 13611285?
207
What is the highest common divisor of 91458 and 8298?
18
Calculate the highest common factor of 94518708 and 51.
51
What is the highest common factor of 1487738 and 88445?
931
Calculate the greatest common factor of 28886 and 25894.
22
What is the greatest common factor of 72369 and 279543?
1419
What is the g | {
"pile_set_name": "DM Mathematics"
} |
emainder when 424 is divided by 6.
4
Calculate the remainder when 2089 is divided by 23.
19
Calculate the remainder when 197 is divided by 37.
12
Calculate the remainder when 592 is divided by 121.
108
Calculate the remainder when 164 is divided by 83.
81
Calculate the remainder when 1103 is divided by 1078.
25
Calculate the remainder when 479 is divided by 113.
27
What is the remainder when 69 is divided by 44?
25
Calculate the remainder when 300 is divided by 101.
98
What is the remainder when 881 is divided by 328?
225
Calculate the remainder when 19 is divided by 2.
1
Calculate the remainder when 825 is divided by 166.
161
What is the remainder when 549 is divided by 112?
101
What is the remainder when 385 is divided by 30?
25
What is the remainder when 288 is divided by 281?
7
What is the remainder when 209 is divided by 63?
20
Calculate the remainder when 53 is divided by 25.
3
What is the remainder when 56 is divided by 5?
1
What is the remainder when 10505 is divided by 30?
5
What is the remainder when 637 is divided by 84?
49
What is the remainder when 526 is divided by 59?
54
Calculate the remainder when 1054 is divided by 31.
0
What is the remainder when 640 is divided by 134?
104
What is the remainder when 2465 is divided by 13?
8
What is the remainder when 151 is divided by 14?
11
Calculate the remainder when 132 is divided by 48.
36
Calculate the remainder when 15 is divided by 8.
7
Calculate the remainder when 633 is divided by 208.
9
What is the remainder when 2362 is divided by 5?
2
Calculate the remainder when 410 is divided by 69.
65
Calculate the remainder when 85 is divided by 67.
18
What is the remainder when 1529 is divided by 20?
9
What is the remainder when 458 is divided by 20?
18
Calculate the remainder when 1877 is divided by 1846.
31
Calculate the remainder when 625 is divided by 19.
17
Calculate the remainder when 1879 is divided by 90.
79
What is the remainder when 133 is divided by 38?
19
What is the remainder when 225 is divided by 24?
9
What is the remainder when 218 is divided by 55?
53
What is the remainder when 108 is divided by 74?
34
What is the remainder when 4797 is divided by 24?
21
What is the remainder when 737 is divided by 14?
9
What is the remainder when 387 is divided by 127?
6
Calculate the remainder when 2060 is divided by 86.
82
What is the remainder when 223 is divided by 54?
7
What is the remainder when 215 is divided by 29?
12
Calculate the remainder when 117 is divided by 11.
7
Calculate the remainder when 1288 is divided by 348.
244
Calculate the remainder when 334 is divided by 326.
8
What is the remainder when 245 is divided by 36?
29
Calculate the remainder when 134 is divided by 97.
37
Calculate the remainder when 588 is divided by 14.
0
Calculate the remainder when 888 is divided by 89.
87
Calculate the remainder when 104 is divided by 30.
14
Calculate the remainder when 365 is divided by 8.
5
What is the remainder when 2748 is divided by 51?
45
What is the remainder when 609 is divided by 420?
189
What is the remainder when 485 is divided by 106?
61
What is the remainder when 881 is divided by 881?
0
Calculate the remainder when 139 is divided by 66.
7
What is the remainder when 100 is divided by 8?
4
Calculate the remainder when 70 is divided by 11.
4
What is the remainder when 227 is divided by 11?
7
Calculate the remainder when 1482 is divided by 11.
8
What is the remainder when 281 is divided by 11?
6
Calculate the remainder when 481 is divided by 4.
1
Calculate the remainder when 245 is divided by 19.
17
What is the remainder when 588 is divided by 31?
30
What is the remainder when 719 is divided by 13?
4
Calculate the remainder when 79 is divided by 15.
4
What is the remainder when 1165 is divided by 146?
143
What is the remainder when 1025 is divided by 504?
17
What is the remainder when 123 is divided by 92?
31
What is the remainder when 101 is divided by 59?
42
Calculate the remainder when 1035 is divided by 7.
6
What is the remainder when 338 is divided by 90?
68
Calculate the remainder when 182 is divided by 63.
56
What is the remainder when 435 is divided by 22?
17
What is the remainder when 177 is divided by 54?
15
What is the remainder when 750 is divided by 82?
12
What is the remainder when 378 is divided by 67?
43
What is the remainder when 200 is divided by 39?
5
What is the remainder when 349 is divided by 23?
4
Calculate the remainder when 121 is divided by 31.
28
What is the remainder when 135 is divided by 29?
19
What is the remainder when 23 is divided by 8?
7
Calculate the remainder when 4011 is divided by 118.
117
Calculate the remainder when 251 is divided by 124.
3
What is the remainder when 283 is divided by 22?
19
Calculate the remainder when 4931 is divided by 137.
136
Calculate the remainder when 67 is divided by 7.
4
Calculate the remainder when 220 is divided by 79.
62
What is the remainder when 621 is divided by 78?
75
What is the remainder when 1027 is divided by 508?
11
What is the remainder when 5424 is divided by 14?
6
What is the remainder when 1118 is divided by 59?
56
Calculate the remainder when 278 is divided by 93.
92
What is the remainder when 276 is divided by 35?
31
Calculate the remainder when 31 is divided by 20.
11
What is the remainder when 673 is divided by 223?
4
What is the remainder when 176 is divided by 27?
14
What is the remainder when 372 is divided by 132?
108
Calculate the remainder when 49 is divided by 42.
7
Calculate the remainder when 1042 is divided by 350.
342
What is the remainder when 282 is divided by 77?
51
What is the remainder when 402 is divided by 150?
102
What is the remainder when 59 is divided by 36?
23
Calculate the remainder when 159 is divided by 37.
11
What is the remainder when 536 is divided by 27?
23
Calculate the remainder when 46 is divided by 31.
15
What is the remainder when 571 is divided by 285?
1
What is the remainder when 296 is divided by 33?
32
Calculate the remainder when 130 is divided by 12.
10
Calculate the remainder when 46 is divided by 21.
4
Calculate the remainder when 77 is divided by 50.
27
Calculate the remainder when 35 is divided by 19.
16
Calculate the remainder when 6108 is divided by 149.
148
Calculate the remainder when 1219 is divided by 37.
35
Calculate the remainder when 59 is divided by 35.
24
What is the remainder when 213 is divided by 70?
3
What is the remainder when 529 is divided by 4?
1
What is the remainder when 21757 is divided by 170?
167
What is the remainder when 459 is divided by 14?
11
What is the remainder when 822 is divided by 477?
345
Calculate the remainder when 105 is divided by 20.
5
What is the remainder when 1186 is divided by 57?
46
What is the remainder when 261 is divided by 115?
31
What is the remainder when 3582 is divided by 32?
30
What is the remainder when 599 is divided by 8?
7
What is the remainder when 1519 is divided by 503?
10
Calculate the remainder when 3043 is divided by 29.
27
Calculate the remainder when 455 is divided by 107.
27
Calculate the remainder when 1072 is divided by 25.
22
What is the remainder when 2473 is divided by 1236?
1
Calculate the remainder when 2671 is divided by 9.
7
What is the remainder when 143 is divided by 7?
3
Calculate the remainder when 179 is divided by 19.
8
Calculate the remainder when 421 is divided by 53.
50
What is the remainder when 132 is divided by 61?
10
What is the remainder when 83 is divided by 43?
40
What is the remainder when 3644 is divided by 4?
0
Calculate the remainder when 574 is divided by 71.
6
Calculate the remainder when 11523 is divided by 43.
42
What is the remainder when 177 is divided by 49?
30
What is the remainder when 271 is divided by 66?
7
Calculate the remainder when 582 is divided by 81.
15
Calculate the remainder when 12 is divided by 9.
3
What is the remainder when 950 is divided by 933?
17
What is the remainder when 2759 is divided by 56?
15
What is the remainder when 663 is divided by 217?
12
What is the remainder when 178 is divided by 27?
16
Calculate the remainder when 8574 is divided by 175.
174
Calculate the remainder when 653 is divided by 60.
53
What is the remainder when 37 is divided by 28?
9
Calculate the remainder when 689 is divided by 17.
9
What | {
"pile_set_name": "DM Mathematics"
} |
79961?
281191
What is next in 8412, 8417, 8424, 8433, 8444?
8457
What is the next term in 1139, 2364, 3573, 4766?
5943
What comes next: -95, -147, -221, -323, -459, -635?
-857
What is next in -129085, -258172, -387259, -516346, -645433, -774520?
-903607
What comes next: 126316, 252650, 378986, 505324, 631664?
758006
What is the next term in 948692, 948694, 948696, 948698, 948700?
948702
What is the next term in -325, -1114, -2421, -4240, -6565, -9390, -12709?
-16516
What comes next: -9, 17, 73, 177, 347, 601, 957, 1433?
2047
What comes next: 8858, 17281, 25704, 34127, 42550?
50973
What comes next: 2955, 2824, 2693, 2562, 2431?
2300
What comes next: -6453, -13205, -19955, -26703?
-33449
What is next in 341, 512, 695, 890, 1097, 1316?
1547
What comes next: 25, 81, 141, 205?
273
What comes next: -346, -707, -1086, -1489, -1922, -2391, -2902?
-3461
What is next in -113, -94, -63, -20, 35, 102, 181?
272
What is next in -1496, -2972, -4448, -5924?
-7400
What is next in -1141, -3683, -7921, -13855?
-21485
What comes next: -2597, -11198, -25533, -45602, -71405, -102942?
-140213
What comes next: -82662, -82663, -82664, -82665, -82666, -82667?
-82668
What is next in 2283, 2309, 2349, 2409, 2495, 2613, 2769, 2969?
3219
What is the next term in -8409, -8356, -8303?
-8250
What comes next: -28287, -56617, -84947, -113277, -141607, -169937?
-198267
What comes next: -121, -176, -235, -304, -389, -496, -631, -800?
-1009
What comes next: 95304, 95305, 95308, 95313, 95320, 95329, 95340?
95353
What is the next term in -141, -640, -1495, -2706, -4273, -6196, -8475?
-11110
What is next in -2459, -2134, -1585, -806, 209?
1466
What is the next term in 27, -15, -131, -321, -585?
-923
What comes next: 127, 124, 117, 100, 67, 12, -71, -188?
-345
What is the next term in -17, -22, 17, 118, 299, 578?
973
What comes next: 1314, 2647, 3982, 5319?
6658
What comes next: -139887, -139890, -139883, -139860, -139815, -139742, -139635, -139488?
-139295
What is next in -180, -166, -150, -132, -112?
-90
What is the next term in 51523, 51525, 51521, 51505, 51471, 51413, 51325?
51201
What is next in -12229, -24577, -36925, -49273, -61621, -73969?
-86317
What is the next term in -821, -1753, -2685, -3617, -4549, -5481?
-6413
What is next in 970, 1886, 2798, 3706, 4610, 5510?
6406
What comes next: 237, 749, 1601, 2787, 4301, 6137, 8289?
10751
What comes next: 165, 36, -95, -228, -363?
-500
What is the next term in -545347, -545353, -545359, -545365, -545371, -545377?
-545383
What is next in -118, -444, -980, -1720, -2658?
-3788
What is next in 63736, 63735, 63734, 63733, 63732?
63731
What is the next term in 8841, 8840, 8837, 8832, 8825, 8816?
8805
What is next in -299, -1126, -2499, -4418, -6883, -9894?
-13451
What is next in 269, 425, 547, 623, 641, 589, 455?
227
What comes next: -10096, -10099, -10102?
-10105
What is the next term in -692, -1424, -2184, -2966, -3764?
-4572
What is next in -73, 246, 565, 884, 1203?
1522
What is next in -630, -1344, -2142, -3024?
-3990
What is the next term in -457, -958, -1793, -2962?
-4465
What is next in 22290, 22296, 22324, 22386, 22494, 22660?
22896
What is the next term in 10426, 20837, 31238, 41623, 51986?
62321
What comes next: -202, -641, -1302, -2185, -3290?
-4617
What is next in 28, 75, 150, 265, 432, 663, 970, 1365?
1860
What is the next term in -402431, -402434, -402437, -402440, -402443?
-402446
What is the next term in -7, -107, -311, -649, -1151?
-1847
What is next in 875, 1021, 1197, 1409, 1663, 1965, 2321?
2737
What comes next: 32183, 64264, 96345?
128426
What is next in -26, -657, -2384, -5753, -11310?
-19601
What is the next term in 305, 1214, 2727, 4844, 7565, 10890, 14819?
19352
What is the next term in 93953, 187908, 281863?
375818
What comes next: -42, -383, -714, -1029, -1322, -1587, -1818?
-2009
What is the next term in 4479, 8819, 13159, 17499, 21839, 26179?
30519
What is next in -1041, -2075, -3133, -4227, -5369?
-6571
What is next in 391, 412, 447, 502, 583?
696
What is next in 250, 587, 1012, 1525, 2126?
2815
What is next in 177, 392, 611, 834, 1061?
1292
What is the next term in -669, -680, -721, -810, -965?
-1204
What is the next term in 13222, 13274, 13364, 13498, 13682, 13922, 14224?
14594
What is the next term in -17410, -34841, -52272, -69703?
-87134
What is the next term in -9530, -19054, -28574, -38090?
-47602
What is next in 174, 488, 950, 1566, 2342, 3284, 4398?
5690
What comes next: 442498, 442504, 442514, 442528?
442546
What comes next: -225, -188, -101, 60, 319, 700, 1227, 1924?
2815
What comes next: 60040, 60021, 60004, 59989, 59976, 59965, 59956?
59949
What is the next term in 189, 209, 235, 267, 305?
349
What is the next term in 8327, 16676, 25025, 33374, 41723, 50072?
58421
What comes next: 1677, 3370, 5063, 6756, 8449?
10142
What is next in 1883, 3828, 5777, 7730, 9687?
11648
What is next in 335, 264, 155, 8?
-177
What comes next: -48307, -48300, -48295, -48292?
-48291
What is the next term in 26594, 26583, 26572?
26561
What comes next: -18593, -18598, -18603, -18608?
-18613
What is the next term in -225534, -225533, -225532, -225531, -225530, -225529?
-225528
What is next in 120, -18, -362, -1014, -2076?
-3650
What is the next term in -51, -396, -745, -1098, -1455, -1816?
-2181
What is the next term in 6317, 6303, 6289, 6275?
6261
What is the next term in -6201, -12397, -18591, -24783, -30973?
-37161
What is next in -5160, -5145, -5114, -5061, -4980?
-4865
What is next in 4513, 4477, 4449, 4435, 4441, 4473, 4537, 4639?
4785
What is the next term in 1949, 3754, 5559, 7364?
9169
What is next in 23711, 47434, 71171, 94928, 118711?
142526
What is the next term in -114727, -114706, -114659, -114574, -114439, -114242, -113971?
-113614
What is the next term in 101, 236, 417, 644, 917, 1236, 1601?
2012
What is next in 1147, 9312, 31471, 74620, 145755, 251872, 399967?
597036
What is next in -6070, -24271, -54606, -97075, -151678, -218415?
-297286
What comes next: 208, 757, 1642, 2863, 4420?
6313
What is next in 191799, 191801, 191803?
191805
What is next in 94295, 377178, 848651, 1508714?
2357367
What is the next term in 1269, 4695, 10259, 17955, 27777?
39719
What is next in -219044, -438080, -657116?
-876152
What is next in 112, 175, 242, 313, 388?
467
What is the next term in -18912, -18925, -18938?
-18951
What is the next term in 2324, 18973, 64160, 152153, 297220, 513629, 815648?
1217545
What comes next: -362, -210, -58, 94?
246
What comes next: -11749, -11765, -11783, -11797, -11801, -11789, -11755, -11693?
-11597
What comes next: 341, 366, 409, 476, 573, 706, 881, 1104?
1381
What is the next term in -641, -630, -609, -578?
-537
What is next in -899, -1704, -2537, -3410, -4335, -5324?
-6389
What is next in 118, 171, 170, 115, 6, -157, -374?
-645
What is the next term in -14407, -57614, -129625, -230440?
-360059
What is next in 61, 118, 173, 220, 253, 266, 253, 208?
125
What is next in -29541, -29551, -29573, -29613, -29677, -29771, -29901, -30073?
-30293
What is next in 865, 1216, 1569, 1924?
2281
What is next in -128, -862, -2746, -6320, -12124, -20698, -32582?
-48316
What is the next term in 73754, 73748, 73738, 73724, 73706?
73684
What comes next: -241, -537, -903, -1381, -2013?
-2841
What comes next: -70271, -70270, -70269?
-70268
What is next in 5674, 5657, 5640?
5623
What is next in 332, 1129, 2448, 4283, 6628, 9477, 12824?
16663
What is the next term in -5793, -11551, -17309, -23067?
-28825
What is the next term in -2403, -4806, -7207, -9606, -12003?
-14398
What is the next term in 429706, 859411, 1289116, 1718821, 2148526, 2578231?
3007936
What is the next term in 1589, 5339, 11587, 20333, 31577, 45319?
61559
What is the next term in -4220, -8542, -12876, -17222?
-21580
What is the next term in 758, 1087, 1624, 2363, 3298, 4423?
5732
What comes next: 48710, 48705, 48698, 48689, 48678?
48665
What is the next term in -611, -4888, -16497, -39104, -76375, -131976?
-209573
What is next in 76507, 76521, 76559, 76633, 76755, 76937?
77191
What is next in 64, 169, 370, 703, 1204, 1909, 2854, 4075?
5608
What is next in 395, 3254, 11011, 26114, 51011, 88150?
139979
What is the next term in 21975, 87937, 197865, 351753, 549595?
791385
What is next in -3860, -3859, -3858, -3857, -3856?
-3855
What comes next | {
"pile_set_name": "DM Mathematics"
} |
culate the highest common factor of 65321 and 664.
83
What is the greatest common divisor of 411839 and 551160?
1531
Calculate the highest common divisor of 5103 and 356963922.
567
Calculate the greatest common divisor of 108 and 142579818.
54
Calculate the highest common divisor of 8840 and 43180.
340
Calculate the greatest common factor of 43 and 13060261.
43
What is the highest common divisor of 692 and 312085772?
692
Calculate the greatest common factor of 225 and 29244750.
75
What is the greatest common factor of 99532 and 314?
2
What is the greatest common factor of 81266 and 55615?
227
What is the highest common factor of 202 and 202457732?
202
What is the greatest common factor of 285708 and 30972?
348
What is the highest common factor of 15637 and 57299729?
823
What is the greatest common divisor of 5187377 and 39?
13
What is the highest common factor of 1598 and 910282?
34
What is the highest common factor of 140 and 5387320?
20
What is the greatest common factor of 4996332 and 4668?
12
What is the highest common divisor of 456924 and 12411789?
3939
What is the greatest common divisor of 2368 and 28813676?
148
Calculate the greatest common factor of 1342930 and 190.
10
Calculate the highest common factor of 187950 and 2436.
42
What is the greatest common divisor of 168 and 2259688?
8
Calculate the highest common factor of 2993 and 2329661.
41
Calculate the highest common factor of 609952 and 2593472.
1568
What is the greatest common factor of 4130 and 73533470?
590
What is the highest common factor of 305444 and 178277?
19
What is the highest common divisor of 16733600 and 2944?
32
What is the greatest common divisor of 14542 and 202598?
22
Calculate the greatest common factor of 60932 and 10932.
4
Calculate the highest common factor of 195687 and 16966.
17
What is the greatest common divisor of 251872 and 7922?
34
What is the greatest common divisor of 27831441 and 99?
33
What is the greatest common factor of 40 and 213058250?
10
Calculate the highest common factor of 810680 and 1240.
40
What is the greatest common factor of 409939 and 1648564?
367
What is the greatest common divisor of 25350728 and 38233?
2249
Calculate the highest common divisor of 65360378 and 11922.
3974
What is the highest common factor of 21730 and 29419960?
410
Calculate the highest common divisor of 457126 and 1326118.
4526
What is the highest common factor of 1424 and 27049592?
712
What is the greatest common factor of 767389914 and 36?
18
Calculate the greatest common factor of 1432709901 and 21.
21
Calculate the greatest common divisor of 555402 and 318.
6
Calculate the highest common factor of 942 and 1583031.
471
Calculate the highest common factor of 4522566 and 16608.
1038
Calculate the greatest common divisor of 2176 and 484252752.
272
What is the highest common divisor of 213 and 20383035?
213
Calculate the highest common divisor of 320552459 and 17.
17
Calculate the highest common factor of 1120968170 and 35.
35
What is the highest common divisor of 3060 and 637380?
180
What is the highest common divisor of 24514416 and 2316?
12
What is the greatest common divisor of 360814 and 442878?
446
What is the highest common divisor of 31374 and 42889420?
1162
What is the highest common factor of 830501 and 545359?
997
Calculate the greatest common factor of 75783 and 1866.
3
What is the highest common divisor of 1087900 and 1368776?
3956
Calculate the greatest common factor of 55289651 and 9535.
1907
Calculate the greatest common divisor of 27590101 and 77.
77
What is the highest common divisor of 37337508 and 16150?
646
What is the greatest common divisor of 41762 and 13307?
7
Calculate the highest common factor of 128705605 and 755.
755
What is the greatest common divisor of 1767 and 3607222?
31
What is the greatest common divisor of 3223 and 9183792?
293
What is the greatest common divisor of 26127 and 15519?
3
Calculate the highest common factor of 190922336 and 73568.
6688
What is the highest common factor of 26315 and 2494385?
1385
What is the greatest common factor of 50302 and 239?
1
Calculate the highest common divisor of 437142148 and 51.
17
What is the highest common divisor of 68 and 2426844?
4
Calculate the highest common factor of 345918 and 177.
3
What is the highest common factor of 110566425 and 5?
5
Calculate the highest common factor of 2499 and 34664241.
51
What is the greatest common divisor of 32448682 and 14161?
833
Calculate the highest common divisor of 2867615 and 4.
1
What is the greatest common divisor of 5334 and 956676?
42
Calculate the greatest common factor of 702 and 1852682.
26
What is the greatest common divisor of 21100760 and 309160?
2360
What is the highest common divisor of 14 and 1009366?
2
What is the greatest common divisor of 10978200 and 216?
216
What is the greatest common factor of 140091 and 245?
49
What is the greatest common divisor of 399796 and 76?
4
Calculate the greatest common factor of 490556 and 484.
44
Calculate the greatest common divisor of 1022 and 8235422.
146
Calculate the greatest common divisor of 19855 and 3064890.
1805
What is the greatest common factor of 1040 and 107632980?
260
What is the greatest common divisor of 269480 and 2400?
40
Calculate the greatest common factor of 738904 and 264.
8
Calculate the greatest common factor of 9400532 and 5652.
628
What is the highest common factor of 1487275 and 1175?
25
Calculate the greatest common divisor of 1846937 and 18299.
631
What is the greatest common factor of 110148 and 28408?
268
What is the greatest common factor of 6715 and 163547854?
1343
What is the greatest common factor of 63642426 and 2277?
69
What is the highest common factor of 64953746 and 33?
11
Calculate the greatest common factor of 9984210 and 39420.
2190
What is the highest common factor of 4420 and 868192?
52
Calculate the greatest common divisor of 33490 and 1955225.
985
What is the greatest common divisor of 1736028 and 1792?
28
What is the greatest common factor of 564 and 540492?
12
What is the highest common factor of 2702 and 173860190?
2702
Calculate the highest common factor of 1446486 and 762.
6
Calculate the highest common divisor of 6785 and 35694115.
295
Calculate the highest common divisor of 5 and 2765490.
5
Calculate the highest common factor of 3 and 82041591.
3
Calculate the highest common divisor of 14190 and 1277760.
330
Calculate the greatest common factor of 1672 and 178144.
152
Calculate the highest common factor of 90160 and 23335760.
3920
Calculate the greatest common divisor of 876708 and 327168.
2556
Calculate the highest common factor of 212325818 and 68.
34
What is the highest common divisor of 144 and 748848?
48
Calculate the highest common factor of 6878586 and 99.
33
Calculate the greatest common factor of 2494 and 5883462.
58
What is the greatest common factor of 754486 and 1016494?
2426
What is the highest common factor of 1670 and 1633692530?
1670
What is the greatest common factor of 15096935 and 238?
119
Calculate the highest common divisor of 39528 and 27792.
72
Calculate the greatest common factor of 4208197 and 2618.
119
Calculate the highest common divisor of 359 and 52024844.
359
What is the greatest common divisor of 4228 and 66752?
28
Calculate the highest common factor of 6565 and 21411091.
1313
Calculate the highest common divisor of 103294958 and 11883.
3961
What is the greatest common factor of 2952 and 20356008?
984
What is the highest common divisor of 108418 and 42362?
718
What is the highest common divisor of 225 and 36793800?
225
What is the greatest common factor of 6472 and 756877748?
3236
What is the greatest common factor of 400 and 367017850?
50
Calculate the greatest common factor of 340301 and 2171.
13
Calculate the highest common divisor of 56 and 1312264.
8
What is the greatest common divisor of 623 and 235823?
7
Calculate the highest common factor of 2568 and 8371145.
107
Calculate the greatest common factor of 8 and 99761324.
4
Calculate the highest common divisor of 76 and 1684551172.
76
Calculate the greatest common divisor of 27 and 88551.
9
Calculate the highest common divisor of 36 and 4377112.
4
What is the greatest common divisor of 768094 and 2584?
646
What is the highest common divisor of 7125 an | {
"pile_set_name": "DM Mathematics"
} |
*2 + 0*k**2 wrt k.
-120*k
Let t(b) = -34*b**4 + 2*b**3 - 2*b**2 - 18. Let u(l) = -169*l**4 + 11*l**3 - 11*l**2 - 91. Let h(n) = -11*t(n) + 2*u(n). Differentiate h(i) wrt i.
144*i**3
Find the first derivative of 2 - 3 + 1 - 2 + 7*z wrt z.
7
Suppose 5*y + 2 + 9 = -2*u, 2 = -2*u - 2*y. Let d(k) be the second derivative of 3/2*k**2 + 0 + u*k - 1/10*k**5 + 0*k**4 + 0*k**3. Differentiate d(h) wrt h.
-6*h**2
Suppose -3*v = -v - 10. Let m(w) = -2*w + 8. Let x be 6/21 + (-9)/7. Let i(g) = 1. Let b(t) = v*i(t) + x*m(t). What is the first derivative of b(y) wrt y?
2
Let m(f) be the third derivative of 5*f**9/168 - 7*f**5/60 + 16*f**2. What is the third derivative of m(w) wrt w?
1800*w**3
What is the second derivative of -31*u - 37*u**5 + 14*u**5 - 2*u wrt u?
-460*u**3
Suppose c = 7 - 1. What is the second derivative of -c*g**5 + 0*g + g + 9*g**5 + 0*g**5 wrt g?
60*g**3
Let b(p) be the first derivative of -3*p**2 + 7*p - 1. What is the first derivative of b(z) wrt z?
-6
Let z = 102 + -98. Let v(r) be the first derivative of 0*r**3 + 0*r**z - 2*r + 0*r**2 + 1/5*r**5 - 4. What is the first derivative of v(t) wrt t?
4*t**3
Let z(h) be the second derivative of -9*h**6/10 - 3*h**4/4 + 32*h. What is the third derivative of z(b) wrt b?
-648*b
Let z(s) = 25*s**4 + 5*s**3 + 21*s. Let o(p) = 13*p**4 + 3*p**3 + 10*p. Let g(i) = -5*o(i) + 3*z(i). Find the second derivative of g(d) wrt d.
120*d**2
Find the third derivative of -8*c**2 - 8*c**2 + 6*c**2 + 6*c**3 wrt c.
36
Let d(c) be the second derivative of -5*c**4/12 + 3*c**2 - 14*c. Differentiate d(o) with respect to o.
-10*o
Let z(g) be the second derivative of -5*g**7/14 - g**4/12 - 13*g. Find the third derivative of z(s) wrt s.
-900*s**2
Let v(m) = -m + 2. Let p be v(0). What is the third derivative of -o**5 + o - 2*o**p - o**2 - o wrt o?
-60*o**2
What is the second derivative of 3469 - 3469 + 16*c**4 - 26*c - 2*c**4 wrt c?
168*c**2
Let y(m) be the first derivative of -13*m**7/7 + 49*m**3/3 + 54. What is the third derivative of y(j) wrt j?
-1560*j**3
What is the second derivative of -262*w**2 + 126*w**2 + 123*w**2 - 19*w wrt w?
-26
Let m(d) be the first derivative of d**7/280 - d**4/8 - d**3/3 + 1. Let x(t) be the third derivative of m(t). What is the derivative of x(g) wrt g?
9*g**2
Let m(k) = k**3 + 9*k**2 + k + 8. Let n be m(-9). Let j = 1 - n. Find the first derivative of 3 + 3*q**2 - 4*q**2 + 2*q**j wrt q.
2*q
Let v(d) be the second derivative of -11*d**4/12 + 5*d**3/6 - 2*d. Find the second derivative of v(c) wrt c.
-22
What is the third derivative of 2*y**6 + 30*y**2 + y**6 - 15*y**2 - 4*y**6 wrt y?
-120*y**3
Suppose 10*m = 13*m. Find the second derivative of -3*o + 3*o - 5*o + 9*o**2 + m*o wrt o.
18
Let f = -7 - -2. Let j = f - -5. What is the third derivative of -t**5 + j*t**5 - 2*t**5 + t**2 - 3*t**2 wrt t?
-180*t**2
Let w(x) be the first derivative of 1 + 0*x**5 + 0*x**4 + 0*x**3 + 0*x + 2/3*x**6 + 2*x**2. Find the second derivative of w(j) wrt j.
80*j**3
Find the second derivative of 7*l + 14 - 25*l**4 - 11 - 5 wrt l.
-300*l**2
Let q(a) = -a**4 + a + 1. Let f(s) = 5*s**5 - 3*s**4 - 5*s**2 + 3*s + 3. Let j(r) = -f(r) + 3*q(r). Find the third derivative of j(d) wrt d.
-300*d**2
Suppose -2*r + 2 = -4. What is the first derivative of 3*j**3 - 6*j**3 + 1 - j**3 + 5*j**r wrt j?
3*j**2
Let v = 12 + -12. What is the derivative of 5 + v*q**2 - 5*q**2 + 2*q**2 wrt q?
-6*q
Find the third derivative of -5*s**2 - 2*s**2 - 14*s**2 + 22*s**4 + 0*s**4 wrt s.
528*s
Let k(p) = -4 - 5*p**2 + 1 + 2 + 3*p**2. Let q(l) = 6*l**2 + 3. Let f(d) = -8*k(d) - 3*q(d). What is the derivative of f(w) wrt w?
-4*w
Let q(n) be the first derivative of n**7/840 - n**4/12 - 2*n**3/3 + 3. Let c(a) be the third derivative of q(a). What is the first derivative of c(j) wrt j?
3*j**2
Let p(t) be the first derivative of 0*t**5 + 0*t**3 + 3/2*t**2 + 2/3*t**6 + 0*t + 0*t**4 + 5. What is the second derivative of p(v) wrt v?
80*v**3
Let b = -9 + 11. Find the third derivative of 3*q**3 + 0*q**2 + 0*q**3 + 2*q**b wrt q.
18
Let u(o) = -6*o**4 - 6*o + 4. Let b(m) = 30*m**4 + 30*m - 21. Let q(k) = 4*b(k) + 21*u(k). Find the second derivative of q(h) wrt h.
-72*h**2
Let j(h) = h**6 + h**3 + h**2. Let b(g) = -2*g**6 - g**3 - 4*g**2. Let i(w) = b(w) + j(w). What is the third derivative of i(y) wrt y?
-120*y**3
Suppose 3*j + 3*x = -9, -2*j + 20 = 2*j - 4*x. Differentiate -3 - 3*o + 1 + j + 5*o wrt o.
2
Suppose 0 = 2*u + u - 12. Find the third derivative of -f**2 - u*f**3 - f**3 + 3*f**3 wrt f.
-12
Let g = -13 + 37. Let j = g + -17. Differentiate 2*v**3 - 2*v**3 - j + 4 - v**3 with respect to v.
-3*v**2
Let p(l) be the first derivative of 11*l**5/5 - 13*l**3/3 - 17. Find the third derivative of p(x) wrt x.
264*x
Let k(s) be the second derivative of 3*s**5/20 + 5*s**3/6 + 5*s. What is the second derivative of k(h) wrt h?
18*h
Let v be ((-4 - -3) + -1)*-2. Suppose 2*r - 1 - 7 = 0. What is the derivative of -3 + z - z + 7*z**4 - v*z**r wrt z?
12*z**3
Let j(k) be the first derivative of -5/2*k**2 - 3 + 8*k + 4/3*k**3. Let q(o) = o**2 - o + 1. Let v(d) = j(d) - 5*q(d). Differentiate v(s) wrt s.
-2*s
Let s(d) be the first derivative of 2 + 2*d**2 + 0*d**2 + 0*d**2 - 2*d - d**2. What is the derivative of s(p) wrt p?
2
Suppose 5*z = 2*h - 3*h + 20, 4*h = 0. Find the third derivative of -3*i**2 + 7*i**6 + i**6 - z*i**6 - 4*i**2 wrt i.
480*i**3
Suppose -4*d - 8 = -24. What is the third derivative of -5*j**6 - d*j**2 + 12*j**6 - 5*j**6 wrt j?
240*j**3
Let b be 4/(-4)*4/(-2). Let s = -5 + 7. Differentiate -b - 1 + 6 - s*p wrt p.
-2
What is the first derivative of 26 - 25 + 3*l**3 - 8*l**3 wrt l?
-15*l**2
Let i = -14 - -18. Find the second derivative of 4*k**i - 7*k - 8*k**4 - k wrt k.
-48*k**2
Let i = -11 - -18. Differentiate i*k**2 - 1 - 8*k**2 + 3 - 1 with respect to k.
-2*k
Let g(p) be the third derivative of -25*p**8/336 + 3*p**4/8 - 21*p**2. Find the second derivative of g(d) wrt d.
-500*d**3
Suppose 0 = -3*b + 3, -4*k + 3*b - 1 = -2. Let h(n) = 5. Let t(i) = i**3 + 1. Let a(d) = k*h(d) - 6*t(d). Differentiate a(p) wrt p.
-18*p**2
Let s(b) = -b**3 - 6*b**2 + 5. Let r be s(-6). Find the third derivative of -5*n**5 - 2*n**2 - 6*n**5 + r*n**5 wrt n.
-360*n**2
Let t(n) be the second derivative of -n + 0 - 1/10*n**5 + 1/2*n**3 + 0*n**2 + 0*n**4. What is the second derivative of t(m) wrt m?
-12*m
Let c(y) be the second derivative of 0*y**4 + 1/3*y**3 + 0*y**5 - y + 1/14*y**7 + 0*y**2 + 0 + 0*y**6. Find the second derivative of c(t) wrt t.
60*t**3
Let w(j) be the first derivative of -23*j**4/2 + 25*j**2 - 37. What is the second derivative of w(b) wrt b?
-276*b
Suppose 4*y + 1 = 5*y. Let s be (y + 1)/(1/1). Find the second derivative of -s*r - 2*r**3 + 0*r**3 - r wrt r.
-12*r
Let l(p) = 3*p**3 - 4*p. Let k(b) = -3*b**3 + 4*b. Let h = -10 + 8. Let m(a) = h*k(a) - 3*l(a). What is the second derivative of m(v) wrt v?
-18*v
Find the third derivative of -17*o**2 - 6*o**5 - 16*o**2 + 23*o**2 wrt o.
-360*o**2
Let k be (-1 - (-3)/2)*(-16)/(-24). Let m(v) be the first derivative of 0*v**2 - k*v**3 - 1 + 0*v - 3/4*v**4. Find the third derivative of m(o) wrt o.
-18
Find the second derivative of 1 + 4 + 15*u**4 + 0 - 3*u + 4*u**4 wrt u.
228*u**2
What is the first derivative of 3 - 24*v + 8*v - 6 wrt v?
-16
Let m(p) be the second derivative of -p**6/24 - p**4/12 + 2*p**2 + p. Let o(x) be the first derivative of m(x). What is the second derivative of o(u) wrt u?
-30*u
Let w(r) = -11*r**3 + 4*r**2 + 2*r. Let v(x) = -x**3 + x**2 + x. Let c(t) = -4*v(t) + w(t). Find the second derivative of c(i) wrt i.
-42*i
Let o(r) be the third derivative of -r**5/12 - 5*r**4/8 + 19*r**2. Find the second derivative of o(s) wrt s.
-10
Suppose -3*i = 3 + 3. Let u be 0 + 0 + (0 - i). Find the third derivative of -3*b**5 - 3*b**u + 4*b**2 + b**5 wrt b.
-120*b**2
Let o(w) be the first derivative of w**6/45 - w**5/30 - 2*w**3/3 - 1. Let p(m) be the third derivative of o(m). What is the second derivative of p(g) wrt g?
16
Suppose 0 = -4*d + 2*d - 4*f + 20, 5*d + 20 = 4*f. Suppose d = -6*j + 2*j. Find the third derivative of -h**6 + 0*h**2 + j*h**6 - 2*h**2 wrt h.
-120*h**3
Differentiate -6 - 8 + 1 + 10*o wrt o.
10
Suppose -5*o + 24 = i, 2*i - 5*i + 3*o = 0. Let w(z) be the first derivative of -i + 0*z**2 - | {
"pile_set_name": "DM Mathematics"
} |
(d) 3/5
d
Let f be (-20)/(-5)*1/(-10). Let r = -13 + 12. What is the closest to f in 0.5, r, 2, -0.03?
-0.03
Let l = -3197.4 - -3197. Let g = 5 + 1. Which is the nearest to -0.03? (a) 2/23 (b) g (c) l
a
Let l = 2 - 3. Let r = -30 - -29.5. Let w be (-24)/(-160)*5 + 28/(-48). What is the nearest to l in 3, r, w?
r
Let n = -65 - -65.1. Let b = 6 + -2.4. Let v = b - 4.1. What is the nearest to n in v, -2/3, -2/11?
-2/11
Let n = 88 + -83.5. Let h = n + -8.5. Let u = 5 - 4.7. What is the nearest to 0.1 in -2, u, h?
u
Let t be (-2)/168 + 399/(-5586). Which is the nearest to 11.2? (a) 4 (b) -1 (c) 2 (d) t
a
Let g = -5147 - -5146. Let p = 39/2 - 269/14. Let h = 11 + -6. Which is the closest to -3/4? (a) g (b) h (c) p
a
Let s = -19.4 + 18.4. Which is the nearest to s? (a) 0.06 (b) 0 (c) -0.8
c
Suppose u - 2*w + 18 - 3 = 0, -4*w + 10 = 2*u. Let m = -1168460/5073 - 7/1691. Let d = -231 - m. Which is the nearest to d? (a) -9 (b) 4 (c) u
c
Let w = -2043 - -2042.9. Which is the closest to w? (a) -0.2 (b) 2/13 (c) 44 (d) 0.06
a
Let a be 0/((-513)/243 + (2 - 0)/18). Let u = -0.6 - -0.3. Let o = -7 - -65/9. What is the nearest to a in -1/5, o, u?
-1/5
Suppose -15*w - 56 = 54*w + 82. Which is the nearest to 0.6? (a) 0.1 (b) w (c) -0.76 (d) 0
a
Let m = 14545/72 + -1617/8. Which is the closest to 0? (a) m (b) 2 (c) 62
a
Let q be 979/44 - (-1)/(-4). Let v(x) = -4*x + 5. Let i be v(7). Let y = i + q. What is the closest to 2 in 2, 0.2, y?
2
Let r be 20/(-25) + 68/85. Which is the nearest to r? (a) -3 (b) -1/4 (c) 744 (d) -0.3
b
Let h = -9 - -7. Let o be (-1)/2 - (-16)/64*10. Which is the closest to o? (a) -0.4 (b) h (c) -0.1
c
Let m be (-1)/(-2)*-2 - -16. Let p = -11 + m. Let o be 56032/17510*10/(-48). Which is the closest to -2? (a) -4 (b) p (c) o
c
Let w = -4 - -3.85. Let j = -0.0438 + -0.2562. What is the closest to w in 1, 1/5, -3/8, j?
j
Let g = -1896 + 1898. Let p = 0.7 - 0.5. Let b = -0.4 + p. What is the closest to -1 in g, b, -8?
b
Suppose 22*p = 24*p + 4, 2*o + 2 = 4*p. Which is the closest to -2/7? (a) -0.3 (b) o (c) -174/5
a
Let q = 1930 + -15439/8. What is the closest to -1/4 in 30, q, -0.4, -8?
-0.4
Let k be 0 - 2/(-5) - (-134)/(-3685). Which is the closest to -2? (a) k (b) 4 (c) 37
a
Let a = 21 - 20.9. Let f = -488 - -488. What is the closest to f in 1, -3/5, a?
a
Let s = 140985/4 + -35246. Let r = 8 - 8. What is the nearest to 2 in -0.1, r, s, -1?
s
Let t = 7370.75 + -7370. What is the closest to 1 in -0.04, t, 0.5, 2/5?
t
Let m = -0.0187 + 0.1187. Suppose -3*x + 2*x = -2. Suppose 2*p + 4 = g, 0*g - p - 5 = -x*g. Which is the nearest to m? (a) 0 (b) g (c) 0.5
a
Let g be (-1 - 1)/((6 - 300/(-18)) + -18). Let y = 2 + -3. Let z = 2 - y. Which is the closest to z? (a) g (b) -1 (c) -0.4
c
Let f be 26/30 - ((-171)/798 + (-17)/(-210)). Let j = -0.2 + 0.4. Let v = -0.3 + j. Which is the closest to f? (a) -0.2 (b) v (c) -16
b
Let s be 2/9 - (8406/(-81) - 4). Let w be ((-48)/s)/((-66)/27). What is the nearest to w in 5, -0.2, -2?
-0.2
Let s = 22957 - 22962. What is the nearest to -1/4 in s, 1, 2/7?
2/7
Suppose 7*q - 9*q = -4. Which is the nearest to -1? (a) -4/7 (b) -5 (c) q (d) 3/5
a
Let o = 0.18 + -0.38. Let n = -25 - -48. Let c = -23.4 + n. What is the closest to 1.1 in -2, c, o?
o
Let d = 5.047 + -0.047. Let g = 1.9 + 2.1. Which is the closest to d? (a) 1 (b) -2 (c) g
c
Let r be (-2 + 23)*(-2 - (-60)/21). Let l be (-7)/((-21)/r) + (-7 - -5). Let v be 22/144 + l/18. What is the closest to 0 in -1, 2, v?
v
Let f be (-318)/27 - (31 + (-430)/10). What is the closest to -0.1 in -275, f, 1?
f
Let v = -0.3276 + 0.1276. Let w be -2 + (9 + -6)*(-20)/(-42). Which is the closest to 0? (a) v (b) -25 (c) w
a
Let u = 187409479/12529764 - -13/107092. Let m = 136/9 - u. Which is the nearest to -0.1? (a) m (b) 10 (c) 1/2
a
Suppose -38 = -109*v + 289. Which is the nearest to -2? (a) 0 (b) 2/7 (c) v (d) 4
a
Let i = 159 + -168. Let l be (-2)/((-35)/5 - i). Let w = -2/101 + 109/404. Which is the nearest to l? (a) -0.03 (b) w (c) 1
a
Suppose 1514 + 1238 = -340*b - 4048. Let f = -10.3 + 11. What is the nearest to 0 in -2/21, b, f?
-2/21
Let l be 24/(-44)*(-2)/(-6). Which is the nearest to -1/2? (a) l (b) -15 (c) -7/2 (d) 2
a
Let z be (-24)/63 - 10/(-105). Let r = -112 + 121. Which is the closest to z? (a) 5 (b) -1 (c) r
b
Let d = 23 + -23.01. Let l = -15 + 11. Suppose 5*m + 5 = -5*p + 7*p, m = 2*p - 9. Which is the nearest to d? (a) p (b) 2/5 (c) l
b
Let y = -3428 + 3427.7. Which is the closest to 377? (a) 1 (b) -0.4 (c) -1/4 (d) y
a
Let k = -0.23 + 8.23. Let n = k - 8.2. Let p be (-2)/(-4) - (8 - 9). Which is the nearest to 1? (a) -5 (b) n (c) p
c
Let a = -14871 - -14871. What is the nearest to a in 1, -13.8, 1/5, -0.1?
-0.1
Let x(a) = 4*a**3 + 293*a**2 + 75*a + 156. Let b be x(-73). What is the closest to -0.1 in b, 0, 3, 7?
0
Let y(g) = -80*g - 332. Let l be y(-4). Which is the closest to 7? (a) -1/3 (b) l (c) -1/5
c
Let b = 130 + -135. Let p = b + 6. Let a = 0.17 - -0.83. What is the nearest to a in 0.1, 4, p?
p
Let c(d) = 58*d - 224. Let w be c(4). Suppose -3*m - w = 3*q + 10, 10 = 3*q - 4*m. What is the nearest to q in -4, -4/7, 3, -0.3?
-4/7
Suppose -2*m = 4*k + 6, 3*k - 5*k - 2 = 0. Let b = -6.6 + 7. What is the closest to m in b, 1/14, 4?
1/14
Let f = 1.8 + -1.9. Let b = 1.1 + 109.9. Let u = 111.4 - b. What is the closest to f in u, 0.2, -1/3?
-1/3
Let b = 699.988 - 698. Let r = b - -0.012. Let l be ((-2)/8)/(5/16). What is the nearest to 5 in r, 3, l?
3
Let k(j) = 3*j**3 - 40*j**2 + 20*j - 15. Let l be k(13). Let t be 114/l*8/(-9). What is the closest to 0.4 in 2/9, 0, t?
2/9
Let x be (364/(-65))/28 + 12/10. Which is the nearest to -6/13? (a) x (b) 0.1 (c) -0.1 (d) 0.045
c
Suppose -13*s + 8*s = -420. Let z be (-2)/7 - 3756/s. Let l be -1*(-4 - z/12). What is the nearest to -1/5 in 1/3, -2/17, l?
-2/17
Let t = 12.052 - 11.852. What is the closest to 0.1 in 466, -0.4, t?
t
Let o = -6968.9 + 7331. Let t = o + -362. What is the nearest to 0 in t, 2/9, 19?
t
Let y = 261 - 265. Let f = -9.48 + 9.38. Which is the nearest to f? (a) 14 (b) y (c) -1
c
Let q = -3608 - -3610. Which is the nearest to -0.16? (a) q (b) 14/3 (c) -3
a
Suppose -q = 5*w - 385, w - 28*q = -30*q + 77. Suppose w = 8*r + 37. What is the closest to 1 in 0.4, r, -7?
0.4
Let f = -3597 - -3595. What is the closest to -0.1 in 4/7, 700, f?
4/7
Let t = 175.65 + -173.65. What is the closest to -0.1 in 52, -3, t, 0?
0
Let j = -5047 + 5073. What is the closest to 0 in 0.3, -0.4, 1/3, j?
0.3
Let v = -53.4 + 52. Let g = v - -1.07. Which is the closest to -0.2? (a) g (b) 4 (c) 3
a
Suppose 608*m + 5 = 607*m, y - 2*m = 15. Let c be (-108)/(-20) + -6 + 1. What is the closest to c in -7/3, y, 0.03?
0.03
Let x = 178 + -178. Let z = 25/6 + -9/2. Which is the closest to x? (a) z (b) -4 (c) 3
a
Let w = 174 - 592. Let p = -419 - w. What is the nearest to p in 0.3, 2, -0.1?
-0.1
Let m = 2821 - 2790. Which is the closest to m? (a) 0.2 (b) 1 (c) 2/55
b
Suppose -8*z + 4*z + 272 = 0. Let p be ((-10)/4)/(34/z). Which is the closest to -1? (a) p (b) 2 (c) -11
b
Let a = -1 - -0.2. Let g = -247798.4 + 247798. What is the nearest to -1 in 5, g, a?
a
Let j = 0.745 + -90.545. Let f = -90 - j. Which is the closest to f? (a) -2/5 (b) -0.02 (c) 5
b
Let q be ((-3)/2)/(9/3). Let w = 41.9 - 37. Let v = 5 - w. Which is the closest to q? (a) -0.5 (b) 0.3 (c) v
a
Let t = -368809 - -368808.8. Let d = 0 + -1. Let x = 16 + -47/3. Which is the nearest to d? (a) x (b) 5 (c) t
c
Let o = 44.6 - -110.5. Let f = o - 155. What is the closest to f in -3, -2, 0.3?
0.3
Let n = 2279/2 - 1140. Which is the closest to 0.2? (a) n (b) 1 (c) 1.06
a
Let t = -15.45 + 296.59. Let v = -281 + t. What is the nearest to -1/4 in -2/21, 1, 1/12, v?
-2/21
Let x = -7 + 12. Let k = 218325 + -218302. Which is the closest to -1/3? (a) 1 (b) k (c) 3/7 (d) x
c
Let u be -1 + (22/(-33))/((-3)/(-9)). Let f be (435/(-58))/((-24)/(-10)) - u. What is the nearest to f in 3, 2/21, 0, 4?
0
Let l = 15073/3 - 5026. Which is the nearest to l? (a) -2/7 (b) 0.8 (c) -0.3
c
Let s = -0.43 + 0.03. Let b = -4.48 - -4.66. Let f = 1.18 - b. What is the nearest to 0.1 | {
"pile_set_name": "DM Mathematics"
} |
ive.
d**(-655/63)
Simplify ((m**(-7/5))**(5/2)*m/(m*m*m**(-21))*m**(13/5))**(-27) assuming m is positive.
m**(-5157/10)
Simplify (((k/(k/(k/(k*k/(k/(k*k**(-1)/k*k))*k*k*k)*k)))**(2/11)*(k/(k/k**4))/((k/k**1)/k*k))**(1/31))**(4/7) assuming k is positive.
k**(160/2387)
Simplify (((o/(o/o**(-2/7)))/o)**(-11/7)*(o*o**(-1/2)*o)/o*o*o*o/o**(-4/3))/((o**(-2/9)/o**(-3/2))/(o*o**0)**(-17)) assuming o is positive.
o**(-5038/441)
Simplify (k**(-3/8)*k*k**3/k)/(k*k*k**0*(k**(2/11)/k)/k*k)*(k*k*(k/k**(-5))/k*k*k*k)/(k**(1/3)/k)*(k*k**(2/5)*k*k)**10 assuming k is positive.
k**(12173/264)
Simplify (r**(-5)/(r*r*(r*r**(-2/13))/r*r)*r**(-4)*r/r**4)/(r**(-5/2)*r/(r/r**0)*r**(-6/7)*(r*r/(r**0/r)*r)/r) assuming r is positive.
r**(-2637/182)
Simplify ((s/s**(-1/6))/(s**8*s))**(-28)*(s**(3/5)/(s/(s*s/(s**(-7)/s))))/(s*s**6*s*s*s**(-3/2)) assuming s is positive.
s**(6643/30)
Simplify (((n/(n/n**(-1)))/n**(-1/6))/(n/n**(-1/2))**(-25))/((n**(1/3)/n*n*n*n/n**(-2))/(n**(-3)/(n/((n**(2/5)/n)/n)))) assuming n is positive.
n**(401/15)
Simplify ((u**(2/23))**13*(u*(u*(u*(u/(u/u**(-4)))/u*u)/u*u*u)/u)**(-19/4))**(1/3) assuming u is positive.
u**(541/276)
Simplify (a**(1/5)*a**(2/19))**(7/12)*a**(1/3)/a*a**(-6)*a*a**(2/3)*a**(-3/4) assuming a is positive.
a**(-1588/285)
Simplify ((z**(-2)/(z*z/z**3))/(z/(z**(-2/11)/z)*z**(-4/3)))/(z**(-1/4)*z/(z/z**(-3/7)))**41 assuming z is positive.
z**(23999/924)
Simplify o**(-10/19)/(o*o*o/(o**(-1/19)*o*o*o*o)*o*o*o)*(o**(-12))**(4/7) assuming o is positive.
o**(-1255/133)
Simplify (d**(-2/17)*d/(d**5/d))/((d/d**4)/(d*(d*d/(d*d**3/d*d*d))/d*d))*(d/(d**(2/3)/d))/(d*d**(-5))*(d**(1/3))**(-16) assuming d is positive.
d**(-36/17)
Simplify ((t/(t*(t/(t**(-1)*t))/t*t*t))**6*((t**(1/4)*t)/t)**(-2/17))/(((t**(-1/22)/t)/t*t)/t**(-3/2))**(-9) assuming t is positive.
t**(-2969/374)
Simplify ((n**0/n)/(n*n**(2/23)))/(n/((n/n**(-2))/n))**(-1/28)*((n**0/n)/n)**(-10)*n**(1/2)/n*n**(1/10) assuming n is positive.
n**(56277/3220)
Simplify (p/(p/(p**(-10/9)*p)))**(11/2)*p/((p*(p**(10/11)*p)/p)/p)*p**(-30) assuming p is positive.
p**(-6043/198)
Simplify (b*b/(b**(-2/7)*b))**(-10/9)*b**5*b*b**(-5)*b*(b**(2/3)/(b**(-1/2)*b))/(b*b/b**(-2/7)*b/(b/(b/b**(-2/17)))) assuming b is positive.
b**(-1903/714)
Simplify (j**(-3)/j*j*j**(1/3)*j**4/(j*j**(-7)))/((j**2*j)/(j*j*j/j**(-1))*((j/j**(-2/7)*j)/j)**(4/15)) assuming j is positive.
j**(839/105)
Simplify c**(-23)*c/(c*c**(-1))*(c/(c**(-1)*c))/((c/(c/c**(-38)*c)*c)/c) assuming c is positive.
c**18
Simplify (((s**1/s*s)/s*s)**(-36))**(1/4)/((s**(-2/9)*s*s**(-4))/(s**(1/4))**(-5/16)) assuming s is positive.
s**(-3373/576)
Simplify (f*f**(-5/6)/f*f*f)/f*f**(-8)*f**3*f*f**(-1/5)*(f*(f/f**0)/f)**(24/11)*(f*f**(-5/2))/f**(6/5) assuming f is positive.
f**(-751/165)
Simplify (((d/(d/(d*d**(6/11)*d)))/d)/d**(2/9))/(d/d**(1/2))**(-47)*((d*d*d**(2/5))**(-35))**(-31) assuming d is positive.
d**(520507/198)
Simplify (l/(l**(-9)/l*l)*l**4/l*(l**(-2/7))**28)/((l**(2/9)/l)**(2/131)/(l**3/((l*l**9)/l))) assuming l is positive.
l**(-1165/1179)
Simplify (((r**4/r*(r*r/(r/(r/(r/(r/r**(-1/3))))))/r*r*r)/(r**(-2/11)*r**1*r))**33)**(-9/11) assuming r is positive.
r**(-1341/11)
Simplify ((j**(5/2)/j)/j**(12/7)*j**(-10/7)*j/(j**(-25)/j))**(-6/23) assuming j is positive.
j**(-1065/161)
Simplify (z/z**(-7)*z*z*z*z**(-8))**(-16)/(z**(-2/9)/(z/(z**(-1)/z)*z*z)*z*(z/z**4)/z*z*(z*z**5*z)/z) assuming z is positive.
z**(-421/9)
Simplify ((f*f**(-2)*f)/f)**(-3/5)/(f/((f/(f*f**(-1/14)*f))/f)*f/(f/f**(-8)))*((f**(2/5)/f)/f**8)/(f*f/f**(-7/2)*f**2/f*f) assuming f is positive.
f**(-73/7)
Simplify ((((j**(-2/13))**19)**50)**(-25))**(-1/23) assuming j is positive.
j**(-47500/299)
Simplify ((((j/j**(-19))/j)**(-17))**28)**10 assuming j is positive.
j**(-90440)
Simplify ((s*s**0)**(-2/31)/(s**(-3/4)/(s**(-1)*s)))/(s/(s/(s**6/s))*s**(-4/3)/s*s/(s/(s/(s*s**5)*s*s))*s**5) assuming s is positive.
s**(-1481/372)
Simplify ((a*(a/(a**0*a)*a)/a*a*a)**(1/4))**37/((a*(a**(-2/7)/a)/a)/(a*a*a/(a/(((a*a**3)/a)/a)))*(a**0*a)**2) assuming a is positive.
a**(869/28)
Simplify (c**(-33)*c*c/(c/c**(-35))*c*(c**34/c)/c**(-34))**(1/23) assuming c is positive.
c**(1/23)
Simplify (y**(-1/10)*y)/y*y*(((y/y**(2/15))/y)/y)/y*(y**(3/10)/y)**(1/44) assuming y is positive.
y**(-1649/1320)
Simplify ((v*v**24)/v*v*v*(((v/(v/v**(-1/9)))/v*v)/v)/v*(v*(v*(v/(v/v**(-4/7)*v)*v)/v)/v*v)**(-7))**(-15/2) assuming v is positive.
v**(-470/3)
Simplify (w/w**(-2/9)*w/(w**(6/13)*w*w))**(2/11)/((w**0)**25*(w/(w*w**(1/2)))**32) assuming w is positive.
w**(20536/1287)
Simplify ((w*w/w**0)/(w*w**5/w)*w**3*w*w*w**(-1/3))/((w**(2/3))**(1/4)*w**(-6)/w*w*w**(2/3)*w*w) assuming w is positive.
w**(29/6)
Simplify ((j**(-1/4)/j)/j**1)**2/(j**5/j**(6/7)*j**1*j*j**(-2)*j) assuming j is positive.
j**(-135/14)
Simplify ((p**(-3/2)*p*p/(p*p**(-2)))/(p**(-4)/p**(-3/5)))/((p**(-2/3)/p)**(1/64)*p**(-4)/(p*p/(p*(p*((p**(5/2)/p)/p)/p)/p))) assuming p is positive.
p**(10009/960)
Simplify ((((f*f*f/(((f/(f*f**(-5)))/f)/f))/f*f)/(f**(-3)/f))/(f**7*f*f/f**(1/5)))/((f**(-1)/f)**14*f**(-2/5)/f**(-1/3)) assuming f is positive.
f**(349/15)
Simplify ((y**(-2/5)*y*y*y)/y)/y**6*(y*y**1)**(1/29)*y**(1/4)*y*y**(-1/2)*y*y**6*y**(-2/11) assuming y is positive.
y**(20653/6380)
Simplify (d*d*d**(6/11)*d*d*d**(-4)/d)**(-34)*(d*d/(d**(3/10)/d)*d**(6/11))/(d**(-2/7)*d/d**(-1/2)) assuming d is positive.
d**(612/35)
Simplify ((q**(2/9))**(-3/32)/((q*q**(-2)/q)/(q*q**8)))/(q**(2/7)*q**(-3/4)*q**(1/4)*q**(-6)) assuming q is positive.
q**(5777/336)
Simplify (v/v**19*v*v**(-15)*(v*v**(-33))**36)**(-5/6) assuming v is positive.
v**(2960/3)
Simplify (a*a**(-32)*a)**30*(a*a**33)**49 assuming a is positive.
a**766
Simplify ((i**(1/2))**43)**5/((i**1)**15*i**(4/3)/(i*(i/((i**6*i)/i))/i*i*i)) assuming i is positive.
i**(529/6)
Simplify (q**2*q**2/q)**(-41)*((q*q/(q/(q/((q*q/q**(-2/7)*q)/q))))/q**(1/10))**(-27) assuming q is positive.
q**(-7881/70)
Simplify (z**(-3)*z)/z*z*z**(1/3)*((z**(-1/2)/z)/z*z)**(-44)*((z**(-3))**(-2/91))**(-3/19) assuming z is positive.
z**(333643/5187)
Simplify (v/(v**(-5)*v)*v**3*v/v**(-4)*v**4)/(v**4/(v**(-2/11)*v*v)*((v*v**(3/2)/v)/v)/v*v**(2/11)) assuming v is positive.
v**(333/22)
Simplify (((o*o**(1/3)*o*o)/o)/o)**(7/2)*(o/o**0*o)**(-30)*((o/o**(1/4))**21)**(-37) assuming o is positive.
o**(-7657/12)
Simplify (((s*s**(-14)*s*s*s*s)/s)**36/((s**(-6/17)*s)/s*(s**(-8/9)*s)/s))**(-2/23) assuming s is positive.
s**(109780/3519)
Simplify (j**(1/4))**(1/58)/(j**(3/7)/(j**(-3)*j))*j**(-2)/(j/(j*j**(-5)*j))*(j**1/j)**(-2/17) assuming j is positive.
j**(-13681/1624)
Simplify (x*x/((x*x/(x/(x**(-1/3)/x*x)))/x)*x*x)**(4/9)*x**(2/11)*x**(-2)*(x/(x/x**(-2/5)))**(-2/97)*x*x**(2/7)*x/(x/(x*x/(x**(-2)/x))) assuming x is positive.
x**(6454936/1008315)
Simplify ((m**(2/5)*m*m**(2/15)*(m**0/m)**(-40))**(1/7))**41 assuming m is positive.
m**(3649/15)
Simplify ((d*d**1/d)**42/(d**(1/6))**26)**(-3/4) assuming d is positive.
d**(-113/4)
Simplify (((h*h**(2/15)*h)/(h**(2/35)*h*h*h*h))/(h**23*h**(-22)))**44 assuming h is positive.
h**(-13508/105)
Simplify ((x**0)**35*(x**6*x)/(((x**(-3/7)*x)/x)/x))/((x*x**7)/x**8)**(-15) assuming x is positive.
x**(59/7)
Simplify ((o**(-1/4)/((o/((o*o/(o/o**(3/4)*o)*o*o)/o))/o))/(o**4*o/o**4))/((o**(2/5)/o)**(6/17)*(o**4/o)/((o**(-7)*o*o)/o*o*o*o*o)) assuming o is positive.
o**(-729/170)
Simplify (u/u**(-6)*u**(-4/5))/(u**(1/4))**(1/16)*((u**(1/4)/u*u)/u*((u**2*u)/u)/u*u)/(u**0)**(-11/4) assuming u is positive.
u**(2379/320)
Simplify ((h**(-1/5)*h/h**(2/23)*h)/((h**(-5/4)*h)/(h/h**5*h)))/(((h**(-2/9)/h)/(h**(2/3)*h*h))/(h**(2/7))**9) assuming h is positive.
h**(157169/28980)
Simplify ((x**19*x*x*x**(2/9)*x)/(x**14/((((x/(x**(1/8)*x))/x)/x*x)/x)))**50 assuming x is positive.
x**(10975/36)
Simplify (((i/(i*i*i*i**13))/((i/(i/(i*(i*i*(i*i**7*i)/i*i)/i)*i))/i))/(i**(5/2)/((i**(-3/5)*i)/i*i)))**22 assuming i is positive.
i**(-2871/5)
Simplify (q**(-6))**(-2/73)*(q**25/q)/q**(2/17) assuming q is positive.
q**(29842/1241)
Simplify (g/(g*g**3)*(g*g**(-1/20))/g)/(g**(-31)*g**27) assuming g is positive.
g**(19/20)
Simplify ((w/w**6)/w**(-15)*(w*w*w**(-1)*w)**(13/3))**25 assuming w is positive.
w**(1400/3)
Simplify (((t*t**(5/6)*t)/t)/((t*t/t**9*t)/t)*(t**(8/3)/t)/(t**(-2/21)/t))**7 assuming t is positive.
t**(487/6)
Simpli | {
"pile_set_name": "DM Mathematics"
} |
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