text stringlengths 270 8.19k | meta dict |
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uppose 5*w = 3*m + 38, -w - 3*m = w - 32. Suppose -108 = -w*n + 8*n. Let d = -26 + n. Calculate the greatest common divisor of d and 4.
4
Let q = 36 - 57. Let o = 54 + q. What is the greatest common factor of 11 and o?
11
Let a(d) = -99*d - 664. Let c be a(-7). Calculate the highest common divisor of c and 377.
29
Suppose -3*t - 1 - 29 = -3*w, w + 4*t = 0. Let d = 52 + -20. What is the highest common divisor of w and d?
8
Suppose 5*i - 3*g = 7*i - 249, 5*i = -3*g + 645. What is the greatest common divisor of i and 594?
66
Let c be (-2)/5 + 4589/(-65). Let p = c + 79. What is the highest common divisor of p and 4?
4
Let x = -2226 - -2304. Calculate the greatest common divisor of 624 and x.
78
Let o(z) = 14*z - 132. Let u be o(12). Calculate the greatest common factor of u and 144.
36
Suppose 3*z + 2*l - 167 = -2*z, 0 = -3*z + l + 109. Let p = -49 + z. Let u be (21/p)/(6/(-4)). What is the greatest common factor of u and 4?
1
Let a = 3607 - 3507. Suppose 50 = b + 4*b. Calculate the greatest common factor of a and b.
10
Let l = -1 + 8. Suppose 9*g = l*g + 110. Suppose -5*r + g = -0*r. What is the highest common divisor of 66 and r?
11
Let i(h) = -8 - h + 4 - 6*h**2 + 27*h**2 + 10. Let f be i(2). Calculate the greatest common divisor of 22 and f.
22
Let c be (2 - (-52)/(-6))/((-10)/135). Let q = c - 47. Calculate the greatest common divisor of q and 344.
43
Let j(g) = -6*g**2 - 59*g + 42. Let s be j(-8). What is the highest common factor of 150 and s?
10
Let b(h) = h + 16. Let d be b(-9). Let t = 282 - d. Calculate the greatest common factor of 25 and t.
25
Let i(l) = -l + 15. Let j be i(9). Suppose 2*c - j*h = -2*h - 8, -3*h + 15 = 0. Suppose 144 = 5*a - 2*a. What is the highest common divisor of c and a?
6
Suppose 0 = -4*z - 0*z - 4. Let t be ((-3)/(-6))/(z/(-22)). Let m(g) = g**2 + 13*g - 3. Let b be m(-14). What is the highest common divisor of t and b?
11
Let b be (-1 - -4) + (-3 - -2). Suppose k + b*k - 54 = 0. Calculate the greatest common divisor of 162 and k.
18
Let x(i) = 2*i - 28. Let g be x(5). Let f(y) = y**3 + 17*y**2 - 17*y + 21. Let d be f(g). Calculate the highest common divisor of d and 12.
3
Let g = 342 - 340. Calculate the highest common factor of g and 47.
1
Suppose 7 + 5 = 4*f. Let d(c) = -c**3 + 6*c**2 + 4*c - 15. Let s be d(4). Calculate the highest common divisor of f and s.
3
Suppose 0 = -n + 23 + 6. Calculate the highest common factor of 580 and n.
29
Let z = 625 - 216. Suppose -617 - z = -9*j. Let s = 139 - 63. What is the highest common factor of j and s?
38
Suppose -558 = -64*t + 2*t. Calculate the greatest common factor of t and 225.
9
Let n = -82 - -136. Let d be (4/3)/(12/n). Suppose 28 = d*p - 2*p. What is the greatest common divisor of p and 28?
7
Suppose -4*q - 2*h = 2, -8*h = -3*q - 4*h + 26. Suppose -11 = 3*j - 4*k, 2*j + 5*k - 2 = 6. Let w be 4/(-2)*9/j. What is the highest common divisor of w and q?
2
Let m be (11 + -10 + 3)*(-17)/(-2). What is the greatest common divisor of m and 17?
17
Let r = -20 - -8. Let s be (51/9)/((-4)/r). What is the highest common divisor of s and 119?
17
Let z(g) = -159*g - 61. Let f be z(-6). What is the greatest common factor of f and 19?
19
Suppose 4*q + 8 = j, 2*q - 40 = 4*j - 114. Suppose 0 = -4*v + 2*m + 166, 3*v + 3*m - 100 = j. What is the greatest common factor of v and 328?
41
Let f be (-147)/((-35)/(-5))*-4 + 2. Calculate the highest common divisor of f and 4.
2
Let l be (-16)/3*(-3 - 0). Let r(w) be the third derivative of -w**4/12 + 2*w**3 - 8*w**2. Let a be r(-6). What is the greatest common divisor of l and a?
8
Let l be (-2)/((-2)/3) - 63. Let m = l - -96. Suppose -20 = -4*x + m. Calculate the highest common divisor of x and 154.
14
Suppose -3*i - 14 = 4*j - 51, 4*i - j = 24. Let x(z) = -14*z + 133. Let r be x(9). What is the greatest common divisor of r and i?
7
Suppose -3*y - 8*r = -3*r - 49, y = r + 19. What is the highest common factor of y and 90?
18
Let o = 26 + -26. Suppose 3 = a - 2*b - 0*b, o = -4*b. Calculate the greatest common factor of a and 24.
3
Let j = -230 + 244. Suppose 5*s + 0*l = 5*l + 205, -5*l + 131 = 3*s. Calculate the greatest common divisor of s and j.
14
Suppose -l + 4*l = 9. Suppose -l*i = 3*n + 15, 3*n + 5*i + 5 = -8. Let j be 5/((-10)/n) - -1. What is the greatest common factor of j and 4?
4
Let y be (-2)/(-6) - 204/(-36). Let o(u) = u**3 - 4*u**2 - 6*u + 2. Let w be o(y). What is the greatest common divisor of w and 57?
19
Let a(t) = -t**2 - 3*t + 4. Let h be a(-3). Let d be h/(-2) - -1*46. Calculate the greatest common divisor of d and 4.
4
Let r be 30*(0 - 5)/(-30). Let a = 1 + 2. Suppose -5*w + r*x + 320 = 0, 0 = -0*w - 5*w - a*x + 312. Calculate the greatest common divisor of w and 7.
7
Let i = -1139 + 1918. What is the highest common factor of i and 38?
19
Let c(l) = -2*l**2 - 2*l + 60. Let b be c(0). Let m be 78/8 + 1/4. Calculate the greatest common factor of m and b.
10
Let j be (-10 + -47)/((-10)/4 - -1). Calculate the highest common factor of 6 and j.
2
Let i be (297/(-18))/(1/(-6)). Let u = i - 47. What is the greatest common factor of 26 and u?
26
Suppose -8 + 6 = -2*y, 0 = 4*k + 3*y - 83. Let c(n) = 38*n**2 - 2*n. Let v be c(3). Suppose -3*q + v = -144. Calculate the highest common factor of q and k.
20
Let n = 99 - 93. Suppose -4*w - 4*v = -n*v - 634, -3*w + 3*v = -468. Calculate the highest common factor of w and 23.
23
Let s be (3*(-215)/(-30))/((-3)/(-6)). Let t = 61 - s. What is the greatest common factor of 9 and t?
9
Let s = 119 - 83. Suppose s = 16*o - 13*o. What is the highest common factor of o and 9?
3
Let t = -26 + 330. Calculate the greatest common divisor of t and 38.
38
Let w(a) = -8*a + 2. Let b be w(-9). Let y(n) = -8*n - 3. Let h be y(-3). Let s = h + b. Calculate the greatest common divisor of 19 and s.
19
Let j be 1359/(-39) + 30/(-195). Let i be 1 - 0/1 - -1. Let d be (j/(-14))/(i/36). What is the highest common factor of 18 and d?
9
Let m be 1 + 1 + 9 - -2. Suppose 10*z = 4*z + 30. Suppose -m = -q - z. Calculate the greatest common divisor of q and 16.
8
Let v = -18 + 21. Suppose g + 18 = -4*h, 5*g = h - v - 3. Let o(d) = -5*d. Let k be o(g). Calculate the highest common divisor of k and 20.
10
Let s(d) = -2*d**2 - 58*d + 38. Let m be s(-29). Calculate the greatest common divisor of m and 456.
38
Suppose -l - 20 = -6*l. Suppose 0 = -l*b + 428 - 168. Suppose -4*d = 3*i - 95, -i + 61 = 2*d - 4*i. What is the highest common factor of b and d?
13
Let v = 242 + -125. Suppose y = -5*s + 68, -2*y - 17 = -2*s + 3. Calculate the greatest common factor of v and s.
13
Suppose 0 = -6*i + 28 + 212. What is the greatest common divisor of 520 and i?
40
Suppose 5*u - 3*u + 5*n = 1534, -1534 = -2*u + 4*n. What is the highest common factor of 177 and u?
59
Let q(t) = -t**3 + 52. Suppose 3*o = -o - 7*o. Let w be q(o). What is the greatest common factor of 130 and w?
26
Suppose 2*d = 4*r - 94, 3*d = -4*r + 55 + 54. What is the greatest common divisor of 1 and r?
1
Suppose 4*y - 35 = 3*h, 0*y + 30 = 3*y - 3*h. Let w be 10/(-25) - (-192)/y. Calculate the highest common divisor of 95 and w.
19
Let l(j) = 16*j + 40. Let w(a) = -4*a - 10. Let b(o) = 6*l(o) + 26*w(o). Let g be b(-6). Calculate the greatest common factor of 112 and g.
28
Let c be (-18)/((-1)/((-20)/(-15))). Let y be 540/c*24/10. Calculate the greatest common factor of 9 and y.
9
Let g = 135 + -148. Let f be g/(3 - 5/(100/64)). Calculate the highest common factor of f and 26.
13
Suppose -2*g - 5*u + 20 = 0, 3*g - 5*g = 4*u - 18. What is the greatest common divisor of 60 and g?
5
Let t(f) = 2*f**2 + 19*f + 18. Let h(i) = -i**2 - 9*i - 9. Let x(y) = 5*h(y) + 3*t(y). Let o be x(-13). What is the greatest common factor of o and 11?
11
Let h(m) = -m**3 + 5*m**2 + 6*m - 1. Let x be h(-2). Calculate the greatest common factor of 55 and x.
5
Let z(s) = 5*s**2 - s + 9. Let c(d) = 3*d**2 - d + 4. Let i(t) = -7*c(t) + 4*z(t). Let j be i(4). Calculate the greatest common divisor of 16 and j.
4
Suppose -17*r = 88 - 377. Let p be 0 + 17/(-2)*-22. What is the highest common divisor of p and r?
17
Let l = 394 - 169. Calculate the highest common divisor of 45 and l.
45
Let u(t) = 5*t**2 - 11*t - 71. Let x be u(12). Calculate the greatest common factor of 11 and x.
11
Suppos | {
"pile_set_name": "DM Mathematics"
} |
3)/12. Is 11 != r?
True
Let s be (-3 - (-4 - -3)) + (-1 - -4). Which is bigger: s or 18/29?
s
Let y be 3/15 + (-93)/(-135). Which is smaller: 1 or y?
y
Let f(m) = -m**2 + m - 3. Let a be f(0). Suppose -3*g + 6 = -0. Suppose g = -l - 1. Is a != l?
False
Let y be (-1 - 0) + (-772)/(-22). Let p = y - 34. Let m = 5/187 + p. Is m < 1?
True
Let k = -0.6 - 0.6. Let p = k + 1.18. Which is greater: -2 or p?
p
Let n = -0.6 - -0.7. Which is greater: -0.01 or n?
n
Let b(f) = -2*f - 11. Let u be b(-9). Let g = -3 + u. Let q be 2/(-60)*-3*g. Is q smaller than 1?
True
Let d(p) = p**2 - 13*p + 3. Let s be d(13). Which is greater: 2 or s?
s
Let o be 6/(-4)*(-80)/(-6). Is -19 less than o?
False
Let m be (-42)/12*(-24)/(-238). Which is smaller: m or 1?
m
Let f = 63 - 62.9. Which is bigger: f or 0.04?
f
Let n = 0.329 - 0.029. Is n less than -0.9?
False
Let r = -21 + 25. Do 3 and r have the same value?
False
Let o be (-2)/(-18)*9/(-66). Does o = 0?
False
Let n be 6/(-10) + (12/(-10))/3. Is 2/111 > n?
True
Let v = -1.3 + 0.3. Let o = 0.7 + 0.3. Let r = 0.8 - o. Is r >= v?
True
Suppose -5 = 2*f + 3. Is -11 less than f?
True
Let t = -1 - -1. Let z = 50 - 301/6. Is z > t?
False
Suppose -2*v - 3*y - 3 = -1, 4 = -2*y. Let u(a) = -8*a + a**2 + 8 + 1 - v. Let h be u(7). Are 1 and h unequal?
True
Let a = 109 - 84. Is a less than 26?
True
Let k = 2/127 - -113/889. Which is bigger: 1 or k?
1
Let q = 19 + -10. Let l = -0.09 - 5.91. Let d = l + q. Which is greater: -2/3 or d?
d
Let u = -10 + 10.5. Let l = u - 0.4. Which is smaller: 0.08 or l?
0.08
Let x(r) be the third derivative of -r**5/60 - 7*r**4/24 - r**3 + 3*r**2. Let l be x(-6). Is l equal to -6/5?
False
Suppose 0 = 2*x + 3*x - 15. Suppose 3*y = q + 4*q - 25, -x*y - 3*q = -15. Which is smaller: 1 or y?
y
Let b(o) = -8*o**2 - o. Let s be b(-1). Let a be (-9)/s + 2/(-7). Is -1/2 bigger than a?
False
Let w(q) = q**2 + 2*q - 1. Let d be w(1). Let r be (3 - -1) + (-2)/d. Let l be (-3)/(-4) + r/(-4). Is 2/3 at least as big as l?
True
Let c(v) = -v + 4. Let t be c(7). Is 1 bigger than t?
True
Let l = 0 - 1. Suppose 3*j = 6*j - 9. Suppose j*m - m = 0. Is l less than m?
True
Let w = 622 - 41053/66. Which is bigger: -1 or w?
w
Let i = 1092 + -22937/21. Is i greater than or equal to 1?
False
Let r = 1.6 + -0.6. Suppose -4*j - j = -45. Let h be (-2)/j + (-2)/(-9). Is h bigger than r?
False
Let w be (-1071)/(-332) + 24/(-8). Let j = w - -2/83. Are 2/21 and j unequal?
True
Suppose -3*o = -4*o. Suppose -3*v + 5*q = 12, 0 = v - 2*q - o + 4. Let c(f) = -f**3 - 3*f**2 + 6*f + 6. Let p be c(v). Which is smaller: p or 0?
p
Let p = 163 + -188. Which is bigger: -3 or p?
-3
Let f(m) = -m**3 + 23*m**2 + 27*m - 73. Let x be f(24). Let q(o) = -2*o - 7. Let g be q(-6). Let h be 4/g*2/(-20). Is x smaller than h?
True
Let j = -1 - -1. Suppose 3*g + 0 - 6 = j. Suppose z - 9 = -g*z. Is z >= 4?
False
Suppose -4*j - 6 = -h, h = 4*j - 2*j + 4. Suppose h*l = -2*w - 2, 5*w + 5 + 0 = 5*l. Suppose l = -2*m + m - 2. Is -3 <= m?
True
Let r = -10 - -5. Let c be ((-4)/r)/(4/(-10)). Which is greater: c or -1/2?
-1/2
Let s(n) = 76*n**2 + 2*n - 6. Let q be s(4). Let t be (-2014)/q - (-6)/21. Let u = t + 1/29. Is u at most as big as 0?
True
Suppose 0 = -2*z + 82 + 38. Is z smaller than 60?
False
Let i be 2 + (0/(-2))/1. Let d(a) = a**3 - 3*a**2 + 3*a. Let o be d(i). Suppose -p = o*p + 6. Do p and -2 have the same value?
True
Let t be (-2 - -3)*(-52)/12. Which is smaller: -5 or t?
-5
Let a = 5 + -4. Which is smaller: a or -1?
-1
Suppose d = 3*d + 8. Let p be (-30)/44 + d/(-8). Let b(g) = -g**2 - 8*g - 7. Let h be b(-7). Which is bigger: h or p?
h
Suppose 1 = 3*p - 2. Let g be (-2 + 10/4)*-2. Let a be (-12)/(-36)*g/(-1). Is a <= p?
True
Suppose 4*j - 76 + 13 = 3*g, -9 = -2*j - 3*g. Which is bigger: j or -1?
j
Let u = -3 + 4. Let r be 51/(-60) - (0 + u). Let a = r - -8/5. Is 2/5 at least a?
True
Let a = -10 - -2. Let c = 36 - 25. Let y = a + c. Does y = -2/3?
False
Let m be 6/(-3) - -3 - 2. Which is smaller: m or 1?
m
Suppose -3*k + 5*w + 11065 = -k, 4*k + w - 22075 = 0. Let z be 3 + (k/9999 - 3). Let l = z + -2/303. Is l at least as big as 0?
True
Let a(x) = 2*x**3 + x**2 + x - 1. Let v be a(-2). Let j be (4/35)/((-3)/v). Let d = 4 + -2. Which is smaller: j or d?
j
Let o = -2 + 2.2. Let q = -3.2 + o. Let y = q + 2.9. Which is greater: y or 0?
0
Let a = 1.7 - 3.1. Let b = 0.6 - a. Let w be 6/(-3 - -1) - -1. Which is smaller: w or b?
w
Let k = 0 - -2. Let v be 5 + (-3 + k)/2. Do 0.1 and v have different values?
True
Let i = 0 + 0. Suppose 13*v = 9*v + 16. Suppose -5*k - 1 - v = i. Which is bigger: -1/2 or k?
-1/2
Let f(h) = -h + 13. Let p be f(9). Suppose p*j - 5*j = 0. Suppose 5*u - 25 = -5*x, -2*u + x - 5 = -0*x. Is j at least as big as u?
True
Let c(i) = -i**3 - 6*i**2 - 6*i - 1. Suppose -4*d + 3*a + 2 = 7, -4*d = 4*a + 40. Let b be c(d). Let n be ((-8)/(-10))/(2/10). Do n and b have different values?
False
Suppose 3*w - 2 + 5 = 0. Let u be (-6)/11*(0 - w). Which is smaller: -2 or u?
-2
Let v = -51 + 47. Is -7 > v?
False
Let j = 6 - 7. Let q be (2/4)/(0 - -1 - -7). Is q less than or equal to j?
False
Let b(k) be the second derivative of k**3/6 - 9*k**2/2 - k. Let j be b(9). Let u be -2 + 1/((-5)/(-8)). Which is bigger: j or u?
j
Suppose 7*l - 15*l = 0. Is -6/31 less than l?
True
Let u = -5 - -3.5. Let z = u - -1. Is z greater than or equal to 0?
False
Let p(v) = v**3 - 5*v**2 + 5*v - 2. Let s be p(4). Suppose 5 - 3 = 2*d. Which is bigger: s or d?
s
Let x(a) = -a. Let r be x(5). Let o be (r - -8)*(1 + 1). Let w be o/15 + (-36)/75. Which is greater: -1 or w?
w
Let s = 0.4 + -0.4. Let w(y) = y**2 - 5*y. Let b be w(5). Suppose -c = -2*h + 5, -2*c + 2*h + b = 4. Is c at least s?
True
Let u = 1.17 - 1.27. Are 1/25 and u non-equal?
True
Let x = -10 - -17. Let v be (-10)/(-20)*x*-1. Which is smaller: v or 2/3?
v
Let s be (-44)/33 - 20/(-6). Suppose -v + 0 = 2. Let f = 0 - v. Do s and f have the same value?
True
Let s = 1 + -2. Let i = s + -1. Let b = -146/3 - -48. Is i at most as big as b?
True
Let q(y) = y**3 + y**2 - 7*y - 2. Let s be q(-3). Which is bigger: 1/95 or s?
s
Let t(f) = -2*f - 4*f**2 - 6 - 10 + f**3 + 4 - f. Let n be t(5). Let j = -494/7 - -70. Which is smaller: j or n?
n
Let d = 14/69 + 3/23. Which is smaller: d or -2/9?
-2/9
Let b = 2 - 1.9. Let s = -11/138 + -1/138. Let i = -19/46 + s. Is i at least b?
False
Let v = 97/4 + -21. Which is smaller: 3 or v?
3
Suppose -51 = 4*k - 15. Let a(t) = t**3 + 4*t**2 - 12*t - 8. Let z be a(-6). Is z at least as big as k?
True
Let g = 503/10 - 50. Suppose 6*z - 8*z - 2 = 0. Is g smaller than z?
False
Let z be (-2)/(-3) - (-2)/6. Suppose 4*j + 3*v + 4 = 0, 4*v - v = 4*j - 20. Is j >= z?
True
Let b = -27/76 + -21/76. Which is smaller: b or -1?
-1
Suppose f - 26 = 3*t - 7, -2*f + t + 13 = 0. Suppose -4*w = -3*w - 5. Do w and f have different values?
True
Let m = -5 + 14. Let y(x) = -x**2 + 9*x + 2. Let p be y(m). Let j = -0.2 - -0.2. Is j equal to p?
False
Suppose 0 = -2*u + 4*u + 2. Let d = 1/222 - 2003/1110. Which is bigger: d or u?
u
Let i = 88 - 79. Which is bigger: 6 or i?
i
Let g = 12 + -6. Let d be (-6)/18 + (-10)/g. Is -5 at least d?
False
Let y = -374 + 4118/11. Is y <= 0?
False
Let f = 2683/10 + -268. Let p = 8 - 6. Suppose -k + p*k = 4*s, 5*s = 3*k. Are f and s equal?
False
Suppose 3*v + 5 - 32 = 0. Suppose 0 = u - 4*u - v. Let w = -2 - 2. Is w equal to u?
False
Let o be (4 + -2 + 1)/1. Let y be (-86)/(-42) - o/9. Is 3 at least as big as y?
True
Let q = -12 - -16. Which is smaller: -1 or q?
-1
Let r be 53/75 + (-10)/15. Which is smaller: 0 or r?
0
Suppose -3*w + w = 12. Let g be (-12)/(-18) - 14/w. Let a be ((-15)/(-6) + -2)*4. Is a at most g?
True
Let k = 1 + -2. Let u be (-14)/(-48) + (-1)/2. Let y = u + -1/72. Which is smaller: k or y?
k
Let w be -1 + 6 + (-3 - -3). Let a be ((w - 4)*-1)/(-3). Suppose 3*d - 5*t + 23 = 0, -26 + 8 = 2*d - 4*t. Does a = d?
False
Suppose -3*c - 8 = 1. Let g be 1 + 4 - (-5 - -8). Suppose -g*b - 4 = -0. Which is bigger: b or c?
b
Suppose 2*l = 4*t + 8, 0 = 3*t - 2*t + 1. Let o = 2 - 5. Let b = o + l. Is b not equal to 1/3?
True
Let f = -18 + 17.6. Is -1/3 at most as big as f?
False
Let t(w) be the third derivative of w**5/60 - w**4/6 - 7*w**3/6 - w**2. Let g = -6 + 11. Let j be | {
"pile_set_name": "DM Mathematics"
} |
1 = -d for d.
-1
Suppose 6*u - 7*u = u. Solve 7*m - 4*m + 15 = u for m.
-5
Let n(r) = -3*r + 4. Let o be n(-4). Let z(q) = -1 + 17*q - 18*q + 0. Let j be z(-6). Solve j*u = o + 4 for u.
4
Suppose 8*y + 2*y = 20. Solve y*q - 10 = 7*q for q.
-2
Suppose 30 = 5*u + 5*j, -2*u - u + 5*j - 14 = 0. Suppose u*b = 3*t + 5*b, 5*t = -4*b. Solve 4 = -4*l - t for l.
-1
Let i be (6/8)/(2/(-16)). Let n be 2/i - (-21)/9. Suppose 5*f - 5*k - 28 = f, -4*f + n*k = -16. Solve -3*l - f*l - 15 = 0 for l.
-3
Suppose 3*b = p + 4, -6*b = -4*b - 3*p + 2. Suppose -5*m + 3 = t, 0*m - 4*t = b*m + 6. Suppose 3*o = 8 + 1. Solve -m = -o*c + 5 for c.
2
Let u(y) = -y**3 + 4*y**2 + 4*y - 5. Let z be u(3). Solve 10 = -z*t + 11*t for t.
-2
Suppose 0 = p + 2*p - 18. Let y(k) = k**2 - 2*k + 2. Suppose 3*l - 7 + 1 = 0. Let h be y(l). Solve -h*t - t = p for t.
-2
Let s(q) = 5*q**2 - 5*q - 1 - 2*q + 5*q. Let d be s(2). Suppose -z = -6*z + d. Solve -1 + z = -p for p.
-2
Let o = 71 + -44. Solve -4*y - 7 = -o for y.
5
Let w = -5 - -8. Suppose -5*v = -w*m + 25, m - 6 - 14 = 4*v. Solve -r - 1 - 2 = m for r.
-3
Suppose 0 = 5*n + 5*v, 2*n = 5*n + 2*v + 2. Let o be 8/n*(-76)/(-16). Let d = o + 31. Solve 7*i - d = 4*i for i.
4
Suppose -2*d = -0*d - 14. Let r(k) = k**3 - 7*k**2. Let f be r(d). Solve f = -u + 2*u + 4 for u.
-4
Let z(x) = 31*x + 4 - 14*x - 15*x. Let t be z(2). Solve -w = w + t for w.
-4
Let p(g) = -g**2 - 6*g + 9. Let d be p(-7). Let b(h) = 2*h**2 + 3*h**d - 2*h**2. Let u be b(-1). Solve 0 = u*k - 0*k - 9 for k.
3
Suppose q + 5*u - 5 = 0, -5 = -0*q - q + u. Let y be ((-2)/(-5))/(1/q). Suppose 40 = 31*t + 9*t. Solve y*n - 7 - t = 0 for n.
4
Let r = 4 - -4. Solve -3*w + r = w for w.
2
Suppose 2*a = -5*t - 0 + 16, a - 3 = 0. Suppose -5*h + 2*l = -4 - 5, 2*h = l + 3. Suppose -3*x = 5*f - 5, 2*f = -5*x + 5*f - h. Solve x = -t*k - k + 9 for k.
3
Suppose d + d = -20. Let o = 11 + d. Suppose -x + 5*s = o, 3*s - 1 - 6 = -x. Solve -x = -v - 2 for v.
2
Let o = 4 + -2. Suppose -o*s + 6 = s. Solve -s*w + 3 = -7 for w.
5
Let w(h) = 2*h - 5. Let a be w(5). Suppose -4*u + 58 = a*o, 2*u + 2 = -4. Solve 1 + o = -5*s for s.
-3
Let g be (-17)/(-4) + 60/(-48). Solve 12 = -g*v - v for v.
-3
Let v(a) = a**2 + 3*a - 1 - 3*a + 0*a. Let p be v(-1). Solve 2*o + p*o = -8 for o.
-4
Suppose -2*i = -8, -3*h + 4*i + 3 = 1. Suppose 2*y + 16 = 2*l, y + 28 = -0*l + 5*l. Suppose 3*q = l*v - 38, -h*q - 24 = -3*v - 3*q. Solve v + 1 = -2*k for k.
-4
Let k(j) = -27*j - 9. Let w be k(-1). Solve 2*f + w - 12 = 0 for f.
-3
Suppose 15 = 5*h + 5*w, 4*h - 15 = h - w. Solve -5*z = h - 1 for z.
-1
Suppose -16 = -n - 3*n. Let a(g) = -2*g**3 - 3*g**2 + 4*g. Let q be a(-3). Suppose r + 0*r - q = 0. Solve -n*t - r = -t for t.
-5
Let k be 1 - (-4)/((-12)/(-39)). Suppose -n + k + 10 = 5*i, 3*i = 9. Suppose 3*o - 5*u - 27 = 0, -4*o + 47 - 16 = -5*u. Solve o*q - n - 11 = 0 for q.
5
Let h(r) = 3*r - 4. Let a be h(2). Solve -2*d - a*d = 0 for d.
0
Suppose 5*s = 4*p + 288, -45 = -s + 7*p - 2*p. Let j be 3/9 + s/9. Suppose 0 = 3*d - j*d. Solve d = -2*c - c for c.
0
Let s be 8/52 + (-579)/(-39). Solve 0 = 2*j + j + s for j.
-5
Let i(o) = -o**2 - 16*o - 28. Let y be i(-14). Solve y = f - 2 - 3 for f.
5
Let t = -21 + 24. Suppose -6*k + k + a = -13, k + t*a + 7 = 0. Solve -k = -f - 0*f for f.
2
Let l(v) = -v**3 + 6*v**2 - 3*v - 5. Let p be l(5). Let a be 2/p + (-294)/(-15). Suppose -2*t + a = 2*c - 3*t, -c - 4*t = -28. Solve -y - 2*y = -c for y.
4
Let z(g) = -7*g + 21. Let u be z(3). Solve 4*c = -u*c + 20 for c.
5
Suppose 2*g = 3*v - 11, -6*g + 29 = -4*g + 5*v. Solve g*a - a = -2 for a.
-2
Let t(k) = -k**2 - 11*k + 12. Let c be t(-12). Solve -g + 11 - 6 = c for g.
5
Suppose x + x - 8 = 0. Suppose 0 = -x*u - 0*y - 4*y - 8, -5*y = 2*u + 10. Suppose u*n = 4*n - 20. Solve -4*o - o - n = 0 for o.
-1
Let t(r) = r - 14. Let b be t(14). Solve b - 16 = 4*n for n.
-4
Let q(a) = -a**3 - 6*a**2 - 5*a + 2. Let h be q(-5). Suppose -7 = -h*r - 3. Let c = -2 + r. Solve -5 = -o - c*o for o.
5
Let d = -56 - -92. Let j be d/(-45) - 8/(-10). Solve -w + 5 - 3 = j for w.
2
Let f be ((-1 - -12) + -2)/1. Suppose 0 = 2*r + 3*s - f, 3*r + 5*s - 10 = 4. Solve r = -g + 4*g for g.
1
Let t be 4/5 + (-1)/(5/4). Solve k - 2*k = t for k.
0
Let c(s) = 2*s + 16. Let x be c(-8). Solve 5*h = -5 - x for h.
-1
Suppose -4*a - i = 1, 4*a + 4*i - 5 - 3 = 0. Suppose 5*o - 6 = -2*z, -z - 3*o = z - 6. Let r be (-4)/(-6) - a/z. Solve -r = 5*h - 21 for h.
4
Let y(b) = -3 + 2*b + 2 - 3*b - 5. Let x be y(-5). Let k = 1 + x. Solve k = 5*h + 10 for h.
-2
Let a = -3 - -7. Solve -3*n = -4*n - a for n.
-4
Let j = -2 - -8. Let r = 9 - j. Solve 0 = -r*t - 2*t for t.
0
Let q be (-10)/(-2) - (19 - 17). Solve 0 = n + q*n + 8 for n.
-2
Let h be (6/(-5))/((-9)/150). Solve h = b + 4*b for b.
4
Let j be 3 - (-2 + -13)/3. Let y(g) = 5*g - 1. Suppose -2*u + 0*u = -2. Let z be y(u). Solve -z*f + 2*f = j for f.
-4
Suppose 4*u - 10 = 10. Suppose -3*a + 11 = 5*j, u*a = 2*j + 3*j - 35. Let v = j + -4. Solve -p + 0*p + 1 = v for p.
1
Let p(r) = r**2 + 5*r - 12. Let o be p(-7). Solve -o*i = i + 9 for i.
-3
Suppose -2*c - 7 + 43 = 2*x, -81 = -4*c - x. Suppose -j = -4*j + c. Solve j = 3*w - 2 for w.
3
Suppose -6*z + 6 = -3*z. Let f = -4 - -8. Suppose 0 = -f*d + 2*u, z*d - d + 5*u - 22 = 0. Solve -d*t = -3 - 3 for t.
3
Suppose 0 = -l + 5*j + 336, 2*l = -l + 2*j + 1021. Suppose 5*p - 366 = 3*a, 0 = -4*p + a + l - 44. Suppose -2*r + 7*r = p. Solve 6*s - 3*s = r for s.
5
Let m be (-2)/3 - 20/15. Let c be (0 - m)*(-90)/(-5). Let b be 4/(-10) - c/(-15). Solve b = -2*u - 2 for u.
-2
Let g be 40/6 + 1/3. Let a(w) = w**2 - 8*w + 9. Let h be a(g). Let x(m) = -m**2 - 23*m - 17. Let f be x(-22). Solve t = h*t + f for t.
-5
Suppose -9*n + 5*n = -4. Let g(z) = z + 4. Let r be g(-6). Let j be 28/n + (r - 1). Solve -4*f = f - j for f.
5
Let v = -240 - -240. Let y = -3 - -6. Solve f - y = -v*f for f.
3
Suppose 3 = -y + 4*y. Suppose -1 = h + y. Let k be (-8)/(-2) + (-4)/h. Solve 6*c + k = 3*c for c.
-2
Let l be 0 - ((-20)/1)/(-4). Let v be (-2)/((3 + l)/4). Solve 0*b = -2*b + v for b.
2
Let x = 26 + -45. Let w = -6 - x. Solve w = -4*k - 3 for k.
-4
Let g(b) = -b**2 + 3*b + 3. Let h be g(2). Suppose 9 = 5*t - 4*y, 6*y - y - 5 = 3*t. Suppose 4*u = -t*m - 7, 2*u - m - 2*m = 13. Solve -h*l = -u - 8 for l.
2
Let f = 1 + 2. Suppose 5*r - 14 - 41 = 0. Solve 4 + r = f*w for w.
5
Suppose 5 = 5*r - 20. Solve -s = -r*s - 20 for s.
-5
Let g = 91 + -155. Let j be g/(-6)*27/18. Solve 4*p = -0*p + j for p.
4
Let p = 26 - 24. Solve -f - 1 + p = 0 for f.
1
Let z be (-297)/(-63) - 2/(-7). Let p(f) = 3*f + 13. Let a(x) = -x - 1. Let w(d) = 4*a(d) + p(d). Let j be w(z). Solve j*k + 5 = -15 for k.
-5
Suppose -y - 11 = -b, -3*b + 43 = -y - 0*y. Let p = b + -16. Solve p = -4*m - 8 for m.
-2
Let s(r) = -r - 3. Let q be s(6). Let p be q/2*20/(-15). Suppose 5*t - 2 - 13 = 0. Solve 6 = t*v - p for v.
4
Suppose -56 = -4*u - 3*u. Solve 0 = 2*k - u for k.
4
Let d = -19 - -37. Suppose -2*t + d = 5*a, -5*a - 2*t = -5*t + 2. Solve 0 + a = 2*r for r.
1
Suppose -64 = 2*g - 6*g. Let s = -10 + 14. Suppose -2*j + 2 + s = 0. Solve 0 = -h - j*h - g for h.
-4
Suppose 0 = -5*v + 14 + 1. Solve -8 = -v*f + 4 for f.
4
Let z = 13 - 9. Solve 1 = 3*p - z*p for p.
-1
Let k be (0 - 0) + (-56)/(-7). Suppose -2*p + 3*l = 0, -p = -5*p + 2*l + k. Solve 13 = -p*x + 4 for x.
-3
Suppose 5*g + o = 5, 2*o + 18 = -g - 2*o. Suppose 0*z = g*z - 40. Solve 6*q = q - z for q.
-4
Let x be (-17)/(-7) + (-18)/42. Solve -x*l - 2 = -6 for l.
2
Let a = 2 + 1. Let s be (-39)/(-9) - 1/a. Solve 0 = 5*r + s - 29 for r.
5
Let g(x) = 5*x**3 + 2*x - 1. Let r be g(1). Suppose 5*o + 2 = 4*s, -4*s - 2*o - 1 + 17 = 0. Solve -r*w + 3 = -s*w for w.
1
Let g(p) = 11*p - 1. Let b be g(-1). Let c be ((-1)/(-3))/((-2)/b). Suppose h + 5 = c*h. Solve -h*s + 13 = -12 for s.
5
Suppose -3*m - 9 = -5*w + 1, -5*m + 5 = -4*w. Suppose -5*q + m = g, -6*q + 10 = -3*q + 2*g. Solve q*c = 3*c - 15 for c.
5
Let s(l) = -5*l**3 - 2*l**2 + l + 2. Let h be s(-1). Solve -h*x = -2*x + 6 for x.
-3
Suppose 5*t + 28 = 153. Solve 2*j = 7*j - t for j.
5
Let i(a) = -a - 3. Let w be i(-3). Let x = -3 + 1. Let u be (x/(-6))/(4/36). Solve -2*l + u*l = w for l.
0
Let h be 6/(-2)*1*3/(-3). Solve 7*t = 6*t - h for t.
-3
Suppose -2*o + 1 = -d - 6, 0 | {
"pile_set_name": "DM Mathematics"
} |
al places?
-0.0000017
Let q = -1150497 - 6879771. Let p = q - -14444268. What is p rounded to the nearest one hundred thousand?
6400000
Let j = 57358.9943341 + -57359. Round j to 3 decimal places.
-0.006
Let b = 69.56 - 52. Let r = b - 8.2. Round r to zero dps.
9
Let u(j) be the first derivative of -429755*j**2 - 40*j + 164. Let v be u(-4). Round v to the nearest 100000.
3400000
Let t = 46 - 61. Let a be (-1 - (-3)/t)/((-4)/(-16200)). What is a rounded to the nearest 1000?
-5000
Let w(u) be the first derivative of 19599*u**2/2 + 9*u + 19. Let f be w(9). Suppose -r = -8*r + f. Round r to the nearest 10000.
30000
Let x = 510365681 + -510365831.9999934. Let o = x - -151. Round o to five dps.
0.00001
Let i = -0.31 + 3.91. Let o = 6134747.6000104 - 6134744. Let y = i - o. What is y rounded to six dps?
-0.00001
Let r = 6091 - 6090.95574. What is r rounded to three decimal places?
0.044
Suppose 24*n - 547911 = 15*n. Suppose -7*r + 54621 + n = 0. Round r to the nearest 1000.
17000
Let f(p) = 580*p - 20. Let w be (3/12)/((-1)/4). Let a be f(w). What is a rounded to the nearest one hundred?
-600
Let n(s) = 15367*s**2 + 71*s - 1186. Let d be n(18). What is d rounded to the nearest 1000000?
5000000
Let j = 1251 - 1001.8. Let x = -212 + j. Round x to the nearest 10.
40
Let o = -2.622 + 2.9118. Let f = o - 0.305. What is f rounded to 3 decimal places?
-0.015
Let h = -0.33041602 + 0.3304. What is h rounded to 6 decimal places?
-0.000016
Let u(g) = -8*g - 2. Let y be u(-1). Suppose 45450000 = -y*f + 15*f. What is f rounded to the nearest 1000000?
5000000
Let h = -2.33684 + 2.8953. What is h rounded to 3 dps?
0.558
Let g = 324.96138 + -325. What is g rounded to two decimal places?
-0.04
Let w = -1470.999423 + 1471. Round w to 4 dps.
0.0006
Let h = -449 - -479.4. Let z = h + -30.400654. Round z to 4 dps.
-0.0007
Let a = -17 + 47. Suppose -10 + a = 10*m. Suppose 0 = m*n - 325 - 559. What is n rounded to the nearest one hundred?
400
Let l be 1/(33419438/200516664 - (-1)/(-6)). Let d = l - -23139444. Round d to the nearest one million.
-10000000
Let y = 4236.157 - 4245. Let x = -8.772936 - y. Let t = x - 0.07. Round t to 5 dps.
0.00006
Let v = -1.3104536 + 1.3123. What is v rounded to 5 decimal places?
0.00185
Let y = 394 + -393.9817. Let h = y - 0.0182607. What is h rounded to five decimal places?
0.00004
Let g = -3318.135653 - 1960.753599. Let v = g - -5279. Let h = -0.111 + v. What is h rounded to 5 decimal places?
-0.00025
Let z(y) = 588*y + 104. Let w be z(16). Let g be 2 - 7 - (w - 17). What is g rounded to the nearest one thousand?
-10000
Let y = 853.3 + -781. Let a = -507 - -588. Let w = y - a. Round w to 0 dps.
-9
Suppose 4*t - x = 4*x + 8, t + x - 11 = 0. Suppose -5*n + 3 = -t. Suppose -k - 2*k - u - 18 = 0, 0 = -n*k - u - 12. What is k rounded to the nearest ten?
-10
Let u = -6.5156 - -0.0156. Let j = 6.51342 + u. What is j rounded to 3 decimal places?
0.013
Let n = -146 - -620. Let z = 474.486 - n. Let w = 0.52 - z. Round w to three dps.
0.034
Let l = 1248 + -1895. Let k = 649.336 + l. What is k rounded to one decimal place?
2.3
Let q = 4291 - 4290.99997502. Round q to 5 dps.
0.00002
Let u = -4.666 - -350.566. Let x = -5.83 + 368.83. Let k = u - x. What is k rounded to 0 decimal places?
-17
Let y = 1300 + -1400.85. Round y to 0 decimal places.
-101
Let g = 0.252 - -10.048. Let m = g - 10.03. What is m rounded to 2 decimal places?
0.27
Let o be (-8)/((-8)/(-37947)) + 7. Round o to the nearest 1000.
-38000
Let d = 1.02 + -1.47. Let z = d - -0.450028. What is z rounded to five decimal places?
0.00003
Let k be (91/4)/((-7231)/1204 + 6). Let v = k + 5680. Round v to the nearest 10.
1770
Let n = 0.0047 - -0.03259. What is n rounded to three decimal places?
0.037
Let d = -6634.9996629 - -6635. Round d to 6 dps.
0.000337
Let b = 80 - 78. Let j be b - -2 - (0 - -10). Let k be 16*83*(525/j)/(-7). What is k rounded to the nearest one thousand?
17000
Let c = 0.0771 + -0.077114667. What is c rounded to seven dps?
-0.0000147
Let n = -1.01921 + 0.07491. Let i = -0.79456 - n. Let y = 0.15 - i. Round y to 4 dps.
0.0003
Let k = 92.5 + -92.51768. What is k rounded to 2 dps?
-0.02
Let v = -1151210.240538 - -1151319.24. Let o = 109 - v. Round o to five decimal places.
0.00054
Let n = 23603.155 - 23549. Let a = -54 + n. What is a rounded to 2 dps?
0.16
Let i = -21289.895 - -21107. Let z = i - -183. Round z to 2 dps.
0.11
Let n = 32.09 + -35. Let j = 598 + -594. Let g = n + j. Round g to one dp.
1.1
Let u = -1.28 - -1.2343. Let l = u + 83.7457. What is l rounded to the nearest 10?
80
Suppose -22*i + 8*i + 28 = 0. Let d(q) = -147999*q**3 - 5*q + 2. Let a be d(i). Round a to the nearest 100000.
-1200000
Let n(b) = b - 6. Let i be n(8). Suppose x + 3 = v, v - 2 = i*x + 3. Let d be 583 + (x/(-6))/(6/(-54)). Round d to the nearest 100.
600
Let s = 8.3 - 2.2. Let k = s + -5.59. Let o = k - 0.22. What is o rounded to one dp?
0.3
Let v = -354126209 - -806017180. Let i = v + -451891122.9999224. Let d = 152 + i. What is d rounded to five dps?
0.00008
Let i = -9574 + 6048. Let h = -3681.9 - i. Round h to the nearest 10.
-160
Let y = 55 + 27. Let j = y - 81.134. Round j to one dp.
0.9
Let h = 4294 - 4269.01. Let p = -160.31 - h. Round p to the nearest ten.
-190
Let t(b) = b**2 - 9*b + 29. Let h be t(6). Suppose -12*n = h*n + 253. Round n to the nearest integer.
-11
Let z be (420/(-175))/(6/25030). Round z to the nearest 1000.
-10000
Let p = 32 + 6. Let f = p + -35. Suppose 5*j - f = 2, -5*j = 2*d + 635. Round d to the nearest 1000.
0
Suppose -219296972 = -a + 5*s, -s = -a - 0*s + 219296956. Let b = -339910228 + a. Let l = -53213276 - b. Round l to the nearest 1000000.
67000000
Let a = -3475.26 + 3396. Let h = 50.57 + a. What is h rounded to 0 dps?
-29
Let i = -601.1538 + 631. Let r = i - 29.7. Let y = -0.146943 + r. Round y to four decimal places.
-0.0007
Suppose 0 = m - 2, -4*q - 4*m + 16 = -2*m. Suppose q*n - 1486 = 6464. Suppose -5*u - 32 + 7 = 0, 3*j = -2*u - n. Round j to the nearest one hundred.
-900
Let d = -258.966 + 259. Let j = -0.096 - d. Round j to two decimal places.
-0.13
Let d = -86.30004703 - -86.3. Round d to five dps.
-0.00005
Let c = -89 - -381. Let m = 291.9372 - c. Let r = m + 0.06280253. What is r rounded to 7 decimal places?
0.0000025
Let l = -2.222 + -0.548. Let c = -2.7 - l. Let a = 11.73 + c. Round a to zero dps.
12
Let w be ((-14)/21*-211)/(2/(-6)). Suppose 0*j - 2*j - 196 = 0. Let q = j - w. What is q rounded to the nearest 100?
300
Let r = 3005.8 - 3005.8043657. Round r to 4 dps.
-0.0044
Let x = 7582 - 5987.2. Round x to the nearest ten.
1590
Let d = -137.8 + 138. Let a = -0.19694 + d. What is a rounded to 4 dps?
0.0031
Suppose 35*s = 26*s + 18. Suppose -6*k + 3*k - 3*j + 19529985 = 0, 2*j = s*k - 13020010. Round k to the nearest one million.
7000000
Let f = -735106.9 - -735106.935901944. Let h = f + -0.0359. What is h rounded to 6 decimal places?
0.000002
Let u = 561.02 + -9808.82. Round u to the nearest one hundred.
-9200
Let g = -35678.3 + 34232. What is g rounded to the nearest 10?
-1450
Let d = 0 - -0.012. Let h = 3.656 - 4.014. Let u = d - h. Round u to 1 decimal place.
0.4
Let z = -197 - 8. Let g = z + 205.000114. What is g rounded to five dps?
0.00011
Let t = 36561207803018762 - 36561202350505721.9999871. Let q = t + -5452513340. Let x = q + 300. What is x rounded to six dps?
0.000013
Let o = 64174 - 231054. Round o to the nearest one hundred thousand.
-200000
Let p = -0.0369 + -263.9631. Let d = p - -265.06. What is d rounded to zero dps?
1
Let p = 6590 + -6589.94475. Round p to three decimal places.
0.055
Let i be ((-55926)/(-8))/(-9)*-336. Let b = 15 + -11. Suppose 3*q = -0*g - 3*g - i, 0 = 4*q - b*g + 348016. Round q to the nearest ten thousand.
-90000
Suppose -18 = 2*w + 7*w. Let k be w/(-8) - 116834385/(-60). Let o = 13847240 - k. What is o rounded to the nearest 1000000?
12000000
Let i = 11620 + -12156.85. Let p = -0.15 + i. Let x = p + 531.97. Round x to one dp.
-5
Let r = -3421 + 3420.99995017. What is r rounded to 6 decimal places?
-0.00005
Let p = -263 - -280. Let s(w) = -253*w**2 - 18*w + 23. Let i be s(p). Round i to the nearest 1000.
-73000
Let o = -8034 - -8033.75699. What is o rounded to two dps?
-0.24
Suppose 116*d = 113*d + 12. | {
"pile_set_name": "DM Mathematics"
} |
*l - 2*u, i = -4*l + 3*u + 11 + 108. Suppose 5*b - 5 = -3*g + 3, 4*g = b + l. Give f(g).
7
Let q(y) = y**3 - 5*y**2 - 7*y + 8. Suppose 3*l = -l - 4. Let m be l + 0 + 2 - -4. Suppose -2*h + 2*w - 10 = -22, m*h + 2*w - 30 = 0. Determine q(h).
2
Let y(f) = f + 6. Suppose 0 = 5*h - 5*t - 30, 3*t + 5 + 6 = -4*h. Let r be (-5 + h)/(-1) - 14. Determine y(r).
-4
Let n be (-42)/(-9)*6/(-4). Let p = -5 - n. Let y(k) = -3*k - 3*k**3 - p*k + 4*k**2 + 4*k**3 + 4. Calculate y(-5).
4
Let t(l) = -l**2 + 39*l + 36. Let n be t(-1). Let z(a) = -a + 3 - 5 + 0*a. Calculate z(n).
2
Let i(s) = -38 - 35 - 39 + 117 + 2*s. Calculate i(3).
11
Suppose -2*f + 26 = -i - 9, 5*f = 2*i + 86. Suppose 0 = -5*c - f + 1, -3*c - 34 = -5*z. Let l(q) = -3*q - 1. Give l(z).
-16
Let n be (-6)/9*-6 - (-4 + 2). Let l(d) = d**3 + 2*d + d - 2 - d**2 + 0 + n*d**2. Give l(-4).
2
Let a(q) be the second derivative of q**4/12 - 2*q**3 + 4*q**2 + 247*q. Give a(7).
-27
Suppose -4*q + 16 = 0, 18*q + 9 = -5*x + 19*q. Let n(s) = -4*s**2 + s. What is n(x)?
-5
Let l(x) = x**2 - 4*x + 2. Let g(d) = d**3 + 8*d**2 + d + 6. Let r be g(-8). Let w be (r - 10/(-3))*(-99)/(-22). Determine l(w).
14
Let p be (-20)/(-70) - (-2)/(-7). Let h(a) = -3*a**2 - 334 - 2*a + 336 + p*a**2. Let z = 2 - 4. What is h(z)?
-6
Suppose -4*t + 7*r - 4*r = -40, 3*t - 3*r = 30. Let w be (-12)/t*(0 - -5). Let a(d) = -21 + d + 29 - d**3 - 2*d - 6*d**2 + 0*d**3. What is a(w)?
14
Let v(w) = w**3 + 4*w**2 - w - 10. Suppose -c - 6 = -5*j + 8, 3*c + 22 = 5*j. Determine v(c).
-6
Let w(y) = y - 17 - 12 - 13 + 2*y + 12. Calculate w(9).
-3
Let u(p) = 9*p - 6. Let z = 19 + -11. Determine u(z).
66
Let o be (-6)/((-7)/(42/9)). Suppose -o*d - 13 = -49. Suppose -5*x + 25 = -v, -x + 5*v - d = 2*v. Let p(f) = f. Determine p(x).
6
Let w(k) be the second derivative of k**7/2520 + k**6/144 - k**5/24 - k**4/12 - 3*k. Let n(v) be the third derivative of w(v). Determine n(-5).
-5
Let k(d) be the third derivative of -d**6/360 - d**5/24 - d**4/24 + 7*d**3/3 + 43*d**2. Let p(a) be the first derivative of k(a). Give p(-4).
3
Suppose o + 12 = -4*b - 19, 0 = 3*b - 3*o + 27. Let w(i) = -5*i**3 + i**2 + 9*i. Let h(v) = -2*v**3 + 3*v. Let k(q) = b*h(q) + 3*w(q). What is k(-2)?
-2
Suppose 7*m = 11*m - 12. Let x(b) = -5*b + 8*b - 4*b + 9*b + 8 + b**m - 8*b**2. What is x(7)?
15
Let x(y) = y + 5. Let m(d) = -d**3 - 35*d**2 - d - 43. Let c be m(-35). Give x(c).
-3
Let q(w) be the first derivative of 17*w**3/3 - w**2/2 + w + 1673. Suppose -3 - 2 = -5*b. What is q(b)?
17
Let d = 6 - -16. Let s = d + -20. Suppose -f = -i - 5, f - s*i = 2*i + 14. Let l(y) = y**3 - 4*y + 3. What is l(f)?
3
Let f(p) = 2*p - 1. Let b(y) = 4*y. Let x(i) = -2*b(i) + 5*f(i). Let o be (1 - -1)*(-15)/6. Calculate x(o).
-15
Let n(s) be the first derivative of 5*s + 0*s**3 + 0*s**2 - 1/6*s**4 + 7. Let i(f) be the first derivative of n(f). Determine i(1).
-2
Let g = 12 - 9. Let c(v) = -5 + 2 - 2 - g*v - 1. Determine c(-6).
12
Let j(z) = -z**2 - z + 7. Let b = 67 - 63. Let p(n) = n**2 - 2*n - 13. Let m be p(b). Calculate j(m).
-13
Let h = -1723/3 + 575. Let b(d) be the first derivative of 1/4*d**4 + h*d**3 + 4*d - 7 - 3/2*d**2. Determine b(-3).
4
Let r(n) = 2*n**2 + n + 1. Let v(o) = 3*o**3 - 3*o + 2. Let i be v(1). Suppose -y + 5 = 0, i*m + 4*y - 22 = m. What is r(m)?
11
Let n(h) be the third derivative of -h**4/24 - 11*h**3/6 + 33*h**2. Calculate n(-15).
4
Let n(l) = -3*l**2 - 5*l - 1. Let q(u) = u**2. Let b be -4*(-4)/(-8) - -4. Suppose s = -s + b. Let a(r) = s*n(r) + 4*q(r). Give a(6).
5
Let z be 16/(-12)*-3 + 3. Let n(u) = -z + 2 + 2 - u + 2. Give n(-2).
1
Suppose 2*u = -3*y - 6 + 20, 3*y = 12. Let c(j) = -u + 0 + j + 0. What is c(2)?
1
Let n(k) = -5*k**2 + 4*k - 3. Let p(r) = 4*r**2 - 3*r + 2. Let d(w) = -2*n(w) - 3*p(w). Determine d(2).
-6
Let w(a) = -17*a + 9. Let c(o) = -3*o + 1. Let f(v) = 6*c(v) - w(v). Determine f(-8).
5
Let s(w) = w - 35 + 16*w**2 - 2*w - 11*w**2 - 3 - 6*w**2 + w**3. Calculate s(0).
-38
Let v(d) = -d. Let a(g) = 5*g + 9. Let z be (-24)/(-15) - (1 - 4/10). Let l(x) = z*a(x) - 2*v(x). Determine l(-6).
-33
Suppose 3*d + 221 = 2*w, 373 = -d - 4*d + w. Let g = 79 + d. Let l(z) = z**3 - 3*z**2 - 3*z + 6. Give l(g).
10
Let f(n) = n - 4*n**3 - n + 3*n - 1 - 4*n**2. Let x(b) = 5*b**3 + 4*b**2 - 4*b + 2. Suppose 5*k + 15 = -10. Let z(p) = k*x(p) - 6*f(p). Determine z(4).
4
Let v(c) = -9*c - 1. Let m(g) = 1. Let l(t) = -5*m(t) - v(t). What is l(5)?
41
Let n(m) = -143*m + 51*m + 48*m + 58 + 50*m. Give n(-11).
-8
Let g(n) = -154*n**2 + 4 - 16 - 23 + 35*n. Let k(m) = -2*m - 128 + 9*m**2 + 67 + 63. Let p(w) = -2*g(w) - 35*k(w). Determine p(-1).
-7
Let o(d) = 2*d**3 + 6*d**2 + d - 3. Let q be o(-2). Let l(k) = 3*k - 6. Calculate l(q).
3
Let y(h) = h**2 - 9*h + 2. Suppose 62*p - 64*p + 4 = 0. Suppose 5*j + 2*o - 46 = -14, 0 = -p*j + 4*o + 32. Determine y(j).
-6
Let l(n) = -2*n**2 - 2*n**2 - 4*n + 9 + 5*n**2 - 11 - 1. Let b = -1 + 4. Give l(b).
-6
Let w = 42 + -36. Let o(a) = 3*a**3 + 17*a**2 - 5*a + 14. Let q(i) = -5*i**3 - 26*i**2 + 8*i - 21. Let t(d) = -8*o(d) - 5*q(d). Give t(w).
-7
Let i(n) = n**3 + 8*n**2 + 8*n + 7. Let g be 10/((2/8)/1). Let a = g + -47. Give i(a).
0
Suppose 0 = -2*m, -5*j + 13 + 17 = -m. Let r = 1 + j. Let u(s) = -7*s**2 + 4*s**2 + 2 + 4*s**2 + 2 - r*s. Calculate u(5).
-6
Let q be 1*(3 + -2 + -2 + 3). Let w(s) be the second derivative of -6*s + 1/6*s**4 + 0 - s**2 + 1/6*s**3. What is w(q)?
8
Let w(r) = 5*r - 1. Suppose 0 = 3*k + 5*k + 112. Let f be 2*21/k*(-2)/(-6). Calculate w(f).
-6
Let o(u) be the first derivative of -2*u**3/3 + 9*u**2/2 - 3*u + 8. Determine o(6).
-21
Let z(s) = 7*s + 11. Let m(j) = 11*j + 16. Let r(g) = -5*m(g) + 8*z(g). Suppose 8 = -4*t - 5*v - 20, -5*t + v - 35 = 0. Determine r(t).
1
Let d(s) = 3*s**3 - 11*s**2 + 4. Let f(c) = 7*c**3 - 23*c**2 + c + 8. Let v(t) = 9*d(t) - 4*f(t). Let x be ((-18)/21)/(1/7). Give v(x).
-8
Let j(q) = -3*q**3 + 8*q + 9*q**2 + 6*q**3 + 6 - 4*q**3 + 7 - q**2. Determine j(9).
4
Let v be 6/3 - (-8 - -7 - -5). Let d(n) = -2*n**3 + n**2 - 2*n - 2. Calculate d(v).
22
Let o(x) = 3. Let r(m) = -5*m - 20. Let h(z) = -6*o(z) - r(z). Calculate h(2).
12
Let g(f) be the third derivative of f**8/20160 + f**7/1680 - f**6/360 + 23*f**5/60 - f**2. Let l(k) be the third derivative of g(k). Determine l(-3).
-2
Let y(t) = -2*t + 3. Let d be y(0). Let p(r) = -2*r**2 + r + 2. What is p(d)?
-13
Let i(n) = 5*n**2 + 24*n - 21. Suppose 0 = 7*l - 2*l + 55. Let j(p) = p**2 + 5*p - 4. Let d(k) = l*j(k) + 2*i(k). Calculate d(-6).
8
Let k be (1/1)/(6/12). Let x(g) = -2*g + 6*g - 234*g**2 + 235*g**k. Give x(-5).
5
Suppose 0 = -2*v + 8, 2*i - v + 24 = -2*i. Let g(d) = 4*d - 2*d - 12 - 3*d. Determine g(i).
-7
Let s(v) = 11*v**2 + 2*v + 2. Let i(w) = -w**2 - 4*w + 10. Let g be i(-6). Let k(o) = o**2 - o - 1. Let u(r) = g*k(r) - s(r). Determine u(-1).
-13
Let n = -397 + 389. Let a(l) = 2*l**2 + l - 2. Let r be a(-2). Let f(j) = 4*j + j + 5 - r*j. Determine f(n).
-3
Let z(o) = 6*o - 4*o - o. Let t(g) be the first derivative of -g**4/4 - 5*g**3/3 + g**2/2 + 4*g + 5. Let m be t(-5). What is z(m)?
-1
Let a be 0*(-4 + (-91)/(-21)). Let k(j) = j**2 + j + 11. What is k(a)?
11
Suppose -3*f - 5*m - 7 = -f, -2*f = -m + 13. Let s = f + 26. Let d(n) = -6*n - 6 - 15 + s. Calculate d(-1).
5
Let i(n) = 2*n**2 - 43*n + 21. Let l be i(21). Let x(g) = l - 5 + g**3 - 4*g**2 + 2*g - 1. Give x(4).
2
Let x be (14/6)/7*15. Suppose p = x*z + 9, 3*p + p + 3*z - 13 = 0. Let u(h) = h**2 - 4*h + 1. What is u(p)?
1
Let q(p) be the third derivative of p**6/120 - p**5/15 - 5*p**4/24 + 2*p**3/3 - 243*p**2. Give q(5).
4
Suppose 39*i - 57 - 21 = 0. Let n(y) be the second derivative of -2*y**3/3 - y**2 - y. Calculate n(i).
-10
Let b(a) be the first derivative of a**3/3 + a**2/2 - 45*a + 477. Determine b(-7).
-3
Let n(d) = -5*d - 64. Let p be n(-12). Let b(t) = 5*t. Determine b(p).
-20
Let x(w) = 4*w**2 + w - 1. Suppose 0 = -d - 5*r + 34 - 8, -2*r = -3*d - 7. Give x(d).
4
Let b = -259 + 248. Let w(r) = -2*r + 4. Determine w(b).
26
Let b(x) be the second derivative of 0 - 9*x - 19/6*x**3 - 1/2*x**2. What is b(1)?
-20
Suppose -32*s + 110 = -43*s. Let t(n) = n + 7. Calculate t(s).
-3
Suppose -2*n - n = -2*q + 24, 3*q - 6 = -3*n. Let y(u) = -u**2 + 5*u - 2. Let f(l) = 5 - 6 + 5*l - | {
"pile_set_name": "DM Mathematics"
} |
62. Calculate the greatest common divisor of 940 and n.
94
Let p = 130 + 62. Suppose -3*v - 18 = -84. Let j = v - -2. Calculate the highest common factor of p and j.
24
Let q(w) = -3*w - 5. Suppose 5*b = 4*j - 27, -3*j = b - j + 11. Let m be q(b). Let a = 461 + -445. Calculate the greatest common factor of m and a.
16
Let y = 2 + -109. Let o = y - -137. Let x(m) = -m**3 - 4*m**2 - 2*m - 2. Let k be x(-4). Calculate the greatest common divisor of o and k.
6
Suppose -s + 1 = -2*z + 7, -z - 5*s - 19 = 0. Calculate the greatest common divisor of 3 and z.
1
Let k = -142 - -226. What is the highest common factor of 96 and k?
12
Let j = 453 - 301. Calculate the highest common divisor of j and 95.
19
Let p(g) = -2*g + 86. Let f be p(34). Suppose -2*x - l = 2*x + 34, -5*x - 4*l = 48. Let i = -6 - x. What is the highest common divisor of i and f?
2
Let b = -18 - -19. Let h be b/6 - 1594/(-12). Let g = -63 + h. What is the highest common factor of g and 14?
14
Let g = -31 + 38. Suppose -5*w = -g*w + 32. Calculate the greatest common divisor of 12 and w.
4
Suppose 0 = -4*f - 4*q - 21 + 73, -4*q = f - 13. Let w be f/2 + (-13)/26. Suppose 0 = w*k - 2*k - 80. Calculate the highest common divisor of 10 and k.
10
Let v(q) = 8*q**2 - 16*q + 6. Let s be v(8). Calculate the greatest common divisor of s and 30.
30
Suppose -2*v = 3*v. Suppose 1 + 194 = 5*i + 5*k, v = i - k - 39. Let y = 103 - i. What is the greatest common factor of y and 16?
16
Let b(o) = -5*o + 3. Let p be b(0). Let u be (p - (-10)/(-3))*-33. Calculate the highest common factor of u and 77.
11
Let l(z) = -z**2 + 7*z + 13. Let i be l(8). What is the greatest common factor of i and 15?
5
Let k(v) = 33*v - 7. Let h be k(1). Calculate the highest common divisor of h and 52.
26
Suppose -t + u = -3*t - 2, -t - 11 = 3*u. Let s be 55 + (3 - 3) + t. What is the highest common divisor of s and 42?
14
Let l(c) = -2*c - 5. Let h(j) = -5*j - 15. Let s(t) = -3*h(t) + 8*l(t). Let p be s(-6). Calculate the greatest common divisor of p and 11.
11
Suppose -20*v + 39 = -19*v. Calculate the highest common divisor of v and 975.
39
Let s(x) = -4*x**2 + 39*x + 16. Let g be s(10). What is the highest common divisor of 78 and g?
6
Let z = -178 + 292. Let m = -60 + z. Suppose 4*u = -2*j - 0 + 8, -5*j - 3*u = -27. Calculate the highest common factor of m and j.
6
Let i = 43 - 38. Suppose -i*p = -4*m - m + 160, 3*m + 3*p - 120 = 0. Calculate the greatest common divisor of 54 and m.
18
Let n = -86 + 87. What is the greatest common factor of n and 34?
1
Suppose -3 + 21 = -6*y. Let q be 0 + 2/(51/15 + y). Calculate the highest common factor of q and 5.
5
Let v = -20 - -8. Let m be ((-64)/v)/(-3*2/(-45)). What is the highest common divisor of m and 5?
5
Suppose 0 = -44*c + 39*c + 30. Suppose -86 + 302 = c*u. Calculate the greatest common divisor of 48 and u.
12
Let i = 8 + -4. Let r = 80 + -81. Let f be (r/(-3))/(7/840). Calculate the greatest common factor of i and f.
4
Let n = 1155 - 479. Calculate the greatest common factor of 416 and n.
52
Let z = -3130 - -5226. Calculate the highest common factor of 16 and z.
16
Suppose -28 = -4*c - 8. Suppose 2*v - 32 = -0*v + p, c*p = 2*v - 32. Suppose s - 5 = z + 2, -v = 4*z. What is the greatest common factor of s and 33?
3
Let r(f) = f**3 - 49*f**2 - 155*f - 26. Let y be r(52). Calculate the greatest common divisor of y and 1469.
13
Let p be (-518)/(-7) - 0/1. Suppose 157 + p = 3*m. Calculate the greatest common divisor of 11 and m.
11
Let o(u) = u - 18. Let g be o(15). Let v(q) = -8*q - 12. Let c be v(g). What is the highest common divisor of c and 36?
12
Suppose 0 = 3*r - f - 3297, -5*r + 10*r + 4*f = 5512. What is the greatest common divisor of 44 and r?
44
Let x(j) = -j**3 + 6*j**2 - 3*j - 2. Let z be x(4). Suppose 28*y - 2272 = -256. Calculate the highest common factor of z and y.
18
Let k = 404 - 132. Calculate the greatest common factor of 34 and k.
34
Suppose v - 2*f - 1632 = 0, 0 = 5*v - 3*f + 2496 - 10642. Calculate the greatest common factor of 44 and v.
44
Suppose -5*q + 483 = -4*t, 505 - 121 = 4*q - 2*t. Calculate the greatest common factor of q and 76.
19
Let o be 128/(-48)*51/(-4). Calculate the greatest common divisor of o and 153.
17
Let j = 42 - -190. Let o = -180 + j. What is the highest common divisor of 2 and o?
2
Let q = 40 + -136. Let u be q/36*3/(-2)*1. What is the greatest common divisor of u and 2?
2
Suppose -d - 1 = -2*d. Suppose -g + d = -14. Calculate the highest common divisor of 45 and g.
15
Let u be (0 - -5)/(1/13). Let o be (5/25)/(4/(-104))*-5. Calculate the highest common divisor of o and u.
13
Let m(n) = -n**3 - 4*n**2 + 3*n. Let d = 26 + -16. Suppose d = 5*r - 7*r. Let p be m(r). Calculate the greatest common factor of p and 15.
5
Suppose 0*f = 3*f - 4*u - 48, 5*u - 9 = -2*f. Suppose -x + 0 + f = 0. Calculate the highest common factor of x and 3.
3
Suppose o + 25 = 6*o. Suppose -4*m = o*q - 45, -m + 19 + 1 = 3*q. Let h(t) = -10*t - 295. Let l be h(-34). What is the highest common factor of q and l?
5
Suppose 13*c = 8*c + 175. Suppose 0 = -2*u + c - 13. What is the highest common divisor of 88 and u?
11
Let n(f) be the first derivative of -9*f**2/2 - 7*f - 1. Let c be n(-7). Calculate the highest common factor of c and 84.
28
Suppose -4*c + 3016 = -2*f, -3767 = -c - 4*c + 4*f. Suppose c = -6*y + 5807. Let h = y + -594. What is the greatest common factor of h and 31?
31
Suppose 0 = 3*l - 3*z - 351, -8*z + 6*z = l - 129. Calculate the highest common factor of 22 and l.
11
Suppose 0 = -5*n - 4 + 54. Let z be 2/(-9) + 58/18. Suppose z*o - n = o. What is the greatest common divisor of 55 and o?
5
Let n = 92 - 66. Suppose -5*g - 5*u + 60 = 0, u = 2*g + 2*u - n. Calculate the greatest common factor of g and 14.
14
Let x be (6/2 + -3)*1. Suppose -2*j + j + 108 = x. Calculate the greatest common divisor of 27 and j.
27
Let x(k) = k**2 - k - 30. Let z be x(6). Suppose z = -9*b + 2*b + 91. Let n(c) = -14*c - 5. Let a be n(-5). Calculate the greatest common factor of a and b.
13
Let i be 5619/75 - 12/(-150). Suppose u = 2*u - 4*w - 33, 132 = 3*u - w. Calculate the greatest common divisor of u and i.
15
Let b be 12 + (6 + -1 - 9). What is the greatest common divisor of b and 200?
8
Suppose -w = w - 26. Calculate the highest common divisor of 39 and w.
13
Let i be (-13518)/(-99) - (-6)/(-11). Calculate the highest common factor of 17 and i.
17
Suppose 3*r + 32 = -s + 5*s, 0 = s - 4*r - 8. Suppose 10*u = 12 + s. Suppose w + 8 = 2*l, 2*w = l + w - 5. What is the highest common divisor of u and l?
1
Let t be (-1 - 5)*(-200)/12. Suppose p = 3*p - t. Suppose 3*y - 44 = -14. What is the highest common divisor of y and p?
10
Let u be 374/1 + (2 - 1). Suppose -m = 2*m + 3*v - u, 0 = -5*m + 4*v + 634. Let o = -1 + 15. Calculate the highest common divisor of o and m.
14
Let f = -476 - -1027. Calculate the highest common divisor of 29 and f.
29
Suppose 3*m + 220 = -4*q, m + 4*m + 3*q + 385 = 0. Let b = m + 101. Calculate the greatest common divisor of 28 and b.
7
Suppose -5*l = 5*p - 700, -4*l - 18*p + 560 = -15*p. Calculate the greatest common factor of l and 40.
20
Suppose 6*w = -409 + 3571. Calculate the highest common factor of 31 and w.
31
Suppose -2*q - 3*g = 2*q - 985, -3*q + 755 = -g. Suppose 0 = 3*b + 3*j + 2*j - q, -4*b = -4*j - 312. What is the greatest common divisor of b and 10?
10
Suppose 0 = -4*h + 78 - 54. What is the highest common divisor of h and 12?
6
Let k = -993 + 1202. What is the greatest common divisor of 11 and k?
11
Let y = 3 - -1. Let h be (3 - y)/(1/(-2)). Suppose z - 75 = 5*x, -2*x = h - 4. What is the highest common divisor of 32 and z?
16
Suppose 0 = 3*i - 3 - 57. Suppose 0 = -z - z + 500. Suppose -u = 4*u - z. What is the greatest common factor of u and i?
10
Suppose 4*j + 4*l + 27 - 75 = 0, -2*l = -j + 3. Suppose 12*b = j*b + 96. Calculate the highest common divisor of b and 352.
32
Let w = -604 + 629. What is the greatest common divisor of 1525 and w?
25
Suppose 0 = -2*t + 251 + 21. Calculate the highest common factor of 17 and t.
17
Let u be -9 + -7*(-12)/42. Let j(k) = -k**3 - 8*k**2 - 12*k - 20. Let t be j(u). Calculate the greatest common divisor of t and 120.
15
Suppose 0 = -3*m + 122 + 292. Let o be (m/9)/(8/60). What is the hig | {
"pile_set_name": "DM Mathematics"
} |
4?
True
Suppose -5*t = 5*a - 15, 3*t + 5*a = 7 - 0. Is 17 a factor of (-1)/t - 483/(-28)?
True
Let u(a) = a**2 + 3*a - 12. Let w be u(-6). Suppose v - w*v + 70 = 0. Does 14 divide v?
True
Suppose -3*h = -4*h - h. Suppose -4*d = 12, -4*a = -h*a - d - 199. Does 26 divide a?
False
Let t(u) = u**3 + 5*u**2 + 3*u + 3. Suppose 4*y = -3*j + j - 6, 3*y = j - 12. Let z be t(y). Is 6 a factor of (-3)/z + 73/4?
True
Let y = -11 - -11. Suppose m + 57 - 24 = y. Is 6 a factor of (-291)/m + 4/22?
False
Let r(d) = -163*d - 1. Let y be r(-2). Let w = y + -138. Is w a multiple of 11?
True
Suppose -15*p + 10*p = -20. Suppose 14 = p*i - 2*i. Does 7 divide i?
True
Let o(r) = -3*r - 2. Let f be o(-3). Suppose 164 = 8*p - f*p. Does 41 divide p?
True
Is (-928)/(-20) + 6/(-15) a multiple of 6?
False
Let z be (-27)/12 + 2 - (-375)/12. Suppose z*r = 28*r + 291. Does 12 divide r?
False
Suppose 3*g - 24 = -0*g. Let o = g + -5. Suppose -36 = -2*h + o*j, -h + 0*j = j - 13. Is h a multiple of 5?
True
Suppose -10*j + 27*j - 986 = 0. Is j a multiple of 29?
True
Suppose 5*p = f + 5, 3*f + 3*p - 2 - 1 = 0. Suppose f = -g - 54 + 200. Does 14 divide g?
False
Let a = 316 + -2. Does 33 divide a?
False
Let w(b) = 7 + 0*b**3 - 5*b**3 + 4*b**3 - 5*b**2 - 1. Does 12 divide w(-6)?
False
Suppose 0 = p + 9 - 0. Let v = p - -10. Does 22 divide (99/(-12))/(v/(-4))?
False
Let m = -13 - -18. Suppose 2*c - 245 - m = -4*u, -2*u = -4*c + 540. Is c a multiple of 20?
False
Let i(l) = l**3 + 7*l**2 - 18*l + 4. Let s be i(-9). Suppose 344 = 4*q + 3*o, -25 = 5*q + s*o - 456. Is 29 a factor of q?
False
Suppose -7*q = -3*q - 4*b - 12, -4*b = -2*q + 6. Suppose -2*o - q*c = -o - 80, -o + 4*c = -66. Is o a multiple of 17?
False
Suppose 11*m - 13*m = 2*x - 2144, 0 = -2*x - m + 2147. Does 21 divide x?
False
Let w = -41 - -39. Does 8 divide w/(-5) - (-2094)/15?
False
Let t(k) be the second derivative of -11*k**3/3 - 5*k**2 - 12*k. Is 8 a factor of t(-3)?
True
Suppose -3*a + 2064 = 3*c, c - 4*a - 288 = 390. Is c a multiple of 49?
True
Is 12 a factor of (-71155)/(-247) + (-1)/13?
True
Let n(h) = -46*h + 8. Is 9 a factor of n(-8)?
False
Let g be -42*1*(-2)/4. Let a = 46 - g. Is 11 a factor of a?
False
Let n be ((-4)/8)/((-1)/(-16)). Let c(a) = a + 18. Let h be c(n). Is 15 a factor of (-2107)/(-35) + (-2)/h?
True
Suppose 0 = -3*k - 6, -2*p - 2*k = -p - 625. Is 20 a factor of p?
False
Let d = -1453 + 2291. Is d a multiple of 15?
False
Suppose 0 = 3*y - 164 - 184. Let o = -25 + y. Let r = o - 45. Does 15 divide r?
False
Suppose -5*u = 6*u - 55. Suppose -u*h - 3*g - 279 = -701, -h + 98 = 4*g. Is 41 a factor of h?
True
Let q(z) = -z**3 - z**2 + 2*z - 4. Let i be q(-3). Suppose 2*d = -4*w + 32, w - i = -5*d + 4*d. Is 4 a factor of w?
True
Is ((720/70)/3)/(4/1554) a multiple of 12?
True
Let n be (-5 + 3)*(-4)/(-8). Let g(w) = -35*w**3 - w + 1. Is 13 a factor of g(n)?
False
Suppose 0*y = -2*y + 30. Let r be y/(-6)*(-8)/5. Suppose 70 = -r*w + 270. Is w a multiple of 13?
False
Let r(n) be the second derivative of -n**5/20 - 9*n**4/4 - 29*n**3/6 + 27*n**2/2 - 19*n. Does 21 divide r(-26)?
True
Does 11 divide -1 + 4 + -4 + 566?
False
Let n(i) = -2*i**3 - 3*i**2 + 9*i + 15. Is 11 a factor of n(-4)?
False
Let g(p) = -6*p - 9. Let s be g(-7). Suppose -6*l + s = -5*l. Does 14 divide l?
False
Suppose -35 = -4*u - 5*y, -4*u - 2*y = -14 - 12. Suppose -352 = -u*w + w. Is 17 a factor of w?
False
Let h(j) = -19*j - 223. Is 12 a factor of h(-13)?
True
Let l(k) = -k**2 - k + 4. Let j be l(0). Suppose -185 = -5*y - 5*q - 40, 4*q = -j. Suppose g = y + 24. Is 18 a factor of g?
True
Let s(b) = 15*b**2 - 2*b - 119. Does 108 divide s(-9)?
False
Let h(s) be the first derivative of 11*s**2/2 - 7*s - 15. Does 10 divide h(6)?
False
Let t = 376 - 22. Suppose -3*l + t = -2*l. Suppose 4*r + 4*x = 336, -x - x = -4*r + l. Does 25 divide r?
False
Let n = 125 - 86. Let r = 74 - n. Is 8 a factor of r?
False
Let o(a) be the second derivative of -a**4/12 - 2*a**3 - 2*a**2 - a. Let v be 4/(-12) - 20*1/3. Is o(v) a multiple of 22?
False
Let a(r) = -2*r - 16. Does 25 divide a(-21)?
False
Does 25 divide (77/1)/(25 - 23)*14?
False
Suppose 0 = 2*o - 5*a - 2121, -5355 = -5*o + 9*a - 7*a. Does 37 divide o?
True
Suppose 3*o - 3144 = -5*o. Is 3 a factor of o?
True
Suppose 15 = -3*g - 3*o, 5*g - 2*o = 3 - 0. Let r(y) = -45*y. Is r(g) a multiple of 9?
True
Let g(z) = -4*z**3 - 7*z**2 - 7*z + 8. Does 15 divide g(-4)?
True
Suppose -2 = -2*x + 4*o, 7*x - 4*o = 2*x + 17. Let d be (4/x)/(22/55). Suppose 1 = -w + 4, 0 = -4*c + d*w + 490. Is 26 a factor of c?
False
Let o(u) = u**3 - 9*u**2 + 8*u + 5. Let z be o(8). Suppose z*d + 75 = -10. Let c = d - -24. Is c a multiple of 7?
True
Let t(w) = -21*w + 220. Is t(10) a multiple of 3?
False
Suppose 2*n - 752 - 3315 = -3*z, 4*z + 4*n = 5424. Does 18 divide z?
False
Is 26 a factor of 1 + (-1 - -578 - 60/10)?
True
Let q(l) = -28*l + 14. Let c be q(-3). Let h = c + -82. Is 4 a factor of h?
True
Let m(z) = z**3 + 13*z**2 - 2*z + 8. Is 24 a factor of m(6)?
False
Is 26 a factor of ((-256)/10)/(1806/455 + -4)?
True
Suppose 0*s + 26 = 2*s - 3*g, 5*s - 52 = g. Let w = s + 50. Does 12 divide w?
True
Let f(n) = -n**2 - 6*n + 10. Let b(h) = -5*h - 2. Let q be b(1). Let j be f(q). Suppose -5*p = -j*t - 138, 0*p + p - 42 = -3*t. Is p a multiple of 15?
True
Suppose 0 = m + 3*m. Suppose 5*n - 30 = -m. Suppose -10 = -h - n. Is 2 a factor of h?
True
Suppose 0 = -3*r - 2*r. Suppose o + r = 2. Does 26 divide (1 - -76) + 2/o?
True
Let q be 4/14 - (-165)/35. Let z(l) = l - 2. Let p be z(q). Let i = p - -3. Is 3 a factor of i?
True
Let y = 1293 - 787. Does 23 divide y?
True
Let k = 1239 + -254. Does 69 divide k?
False
Let g = 318 - 218. Suppose -n = -136 + g. Does 8 divide n?
False
Let i(y) = 3*y**2 + 3*y - 177. Does 24 divide i(16)?
False
Let s(q) = 3*q + 2. Let m be s(-2). Let f be (-167 + 1)/(8/m). Suppose -3*t + t = 3*x - f, -43 = -t - x. Is t a multiple of 21?
False
Let s = 139 - -1520. Does 67 divide s?
False
Suppose -35*v + 21*v = -7980. Does 30 divide v?
True
Let n(c) be the third derivative of 29*c**4/24 - 4*c**3/3 - 4*c**2. Is 27 a factor of n(4)?
True
Let x = -6 + 14. Let h = x - 5. Suppose -h*w = 18 - 111. Is 9 a factor of w?
False
Let s(g) = g**2 + 3*g - 25. Let b be s(-8). Let a(w) = w**2 - w + 1. Is 25 a factor of a(b)?
False
Is 2/(-8) - (-5 - (-22581)/(-36)) a multiple of 50?
False
Let o be 1/((7/(-70))/((-2)/4)). Suppose -o*l - 724 = -2794. Is 69 a factor of l?
True
Let q be 2*(2 + (-4)/8). Suppose q*k = -k + 208. Does 39 divide k?
False
Suppose -7*d - 8 = -9*d. Suppose -5*f = -d*f - 2. Suppose 5*b - 4*b - 52 = f*x, 4*b - 5*x = 193. Is 27 a factor of b?
False
Let z(d) = 2411*d**3 - 2*d**2 + 4*d - 1. Is 18 a factor of z(1)?
True
Let o(q) = q**3 + 27*q**2 - 91*q - 12. Is 100 a factor of o(-24)?
True
Let f(q) = -q**3 + 5*q**2 + 3*q + 2. Suppose 2*g = -0*g + 8. Is 30 a factor of f(g)?
True
Let y be (2/(-5) - 4/(-10))/1. Suppose y = -4*x + t + 499, 152 = 4*x + t - 349. Is x a multiple of 31?
False
Let s(t) be the third derivative of 0 - 3*t**2 + 7/6*t**3 + 0*t - 1/120*t**6 + 3/20*t**5 - 1/3*t**4. Is s(8) a multiple of 7?
True
Let n(y) = -y**3 + 4*y**2 + 13*y - 3. Let w be n(6). Is (w - -306 - 2) + (-4 - -6) a multiple of 54?
False
Let t(x) = x**2 - 6*x - 8. Let k = -9 - -12. Suppose -13 = 4*q + 2*g - 43, 3*q + k*g = 15. Does 8 divide t(q)?
True
Suppose -265 - 1333 = -2*n. Does 44 divide n?
False
Let q(z) = -7*z**2 - 4*z - 1. Let n be q(3). Suppose 0 = -3*v - 5*h - 163, h + 15 = -2*h. Let b = v - n. Is 15 a factor of b?
True
Suppose 7 + 2 = 4*q + 3*g, -3*g - 15 = -4*q. Let a(z) be the second derivative of z**5/20 + z**4/12 - 5*z**3/6 + 3*z**2/2 - 2*z. Does 6 divide a(q)?
True
Let z be (88/(-10))/(24/(-60)). Suppose -5*l + 4*u = -z, 4*u + 9 = 3*l + 3*u. Suppose l*m - 53 + 11 = 0. Is 7 a factor of m?
True
Let t(h) = -9*h**2 + 10. Let x be t(3). Let q = x - -86. Is 5 a factor of q?
True
Let s = -426 + 455. Is s a multiple of 5?
False
Suppose -x - 2*q = 4*x - 12, -3*q + 11 = 4*x. Does 20 divide 107 - (6 - (x + 0))?
False
Let q(l) = -12*l - 2. Let n = -23 - -20. Does 12 divide q(n)?
False
Suppose -5*p - 3*d = -0*p - 880, -2*p - 3*d + 343 = 0. Is 13 a factor of p?
False
Let c be -1 + (12/3)/1. Let i be 2/(-6) - (-42)/36*62. Suppose 3*v + i = | {
"pile_set_name": "DM Mathematics"
} |
t for p.
1
Let h = 17 + 3. Let x be (-66)/(-5)*(-20)/(-6). Suppose 0*f - 5*k = -2*f - 8, -x = -4*f - 5*k. Solve h = -f*m + m for m.
-4
Suppose 0 = -4*r + 15 + 1. Let h be 3 - 9/3 - 0/(-3). Let k be (5 - 0) + -1 + 2. Solve -r*l + k + 6 = h for l.
3
Let d(a) be the third derivative of -a**5/60 + a**4/24 + 5*a**3/3 - 6*a**2. Let l be d(0). Let m be (-10)/(-2)*(-8)/(-10). Solve 22 = m*w + l for w.
3
Let k = 31 - 24. Suppose k*f - 2*f = -2*v + 15, -f - 24 = -5*v. Let g(p) = -p + 2. Let q be g(0). Solve 0 = -d + f - q for d.
-1
Suppose 3*g - 79 = -g + 5*d, 4*g = 2*d + 70. Let m = -12 + g. Let q = -1 + m. Solve 0 = q*t + 5 + 1 for t.
-2
Let b(k) = -12*k - 148. Let f be b(-16). Solve 4*d - 40 = -f for d.
-1
Let v = 7 - 1. Suppose -v = -7*m + 4*m. Suppose 3*n + d = 4, n + 6 = 2*n - m*d. Solve -3*z = -n*z for z.
0
Let o(z) = 22*z + 198. Let v be o(-9). Solve v = 2*f + 6*f + 24 for f.
-3
Let m = -557 - -567. Let i be (10/(-4))/(4/(-8)). Solve -i*q - m = -0*q for q.
-2
Suppose 0 = 53*a - 48*a - 25. Solve -8 + 18 = a*o for o.
2
Let c(v) = 8*v**2 + 11*v - 19. Let q be c(2). Solve 12*y + 25 + q = 0 for y.
-5
Let g = 106 + -91. Solve -o = -6*o + g for o.
3
Let r = 3 + 28. Suppose -r = -3*t + v, 2*t + 3*v = 5*t - 27. Suppose -2*m + 5 + t = 0. Solve u = -u - m for u.
-4
Suppose -p = 2, -q + p + 7 + 1 = 0. Suppose 0 = b - q*b. Suppose b = 3*a - 5*a. Solve x + a = 3 for x.
3
Suppose 5*a = 19*w - 16*w - 8, -4*a = 4*w. Solve 0 = -6*p + w + 5 for p.
1
Let d be (0/(-1))/((-16)/8). Solve -6*t = -0*t - d*t for t.
0
Let i be (0/(-14))/((-2)/2). Solve -5*u + 3 + 22 = i for u.
5
Suppose 8*z - 6*z = d - 38, -3*d + 82 = 2*z. Solve 27*q = d*q for q.
0
Let l(v) = -v - 3. Let r be l(14). Let t(w) = -w - 15. Let j be t(r). Solve -2*i = j*i for i.
0
Let y be 3/11 + (-722)/(-418). Solve -5*g = y*g + g for g.
0
Suppose -2*h = -8*v + 12*v, 3*v = 5*h. Solve v = 8*x - 9 - 7 for x.
2
Suppose 2*f + 4*h = -82 + 98, 5*h - 30 = -5*f. Let x(j) = j**3 + 2*j**2 - 2*j - 3. Let b be x(-2). Solve f = -d + b for d.
-3
Let u be (-1)/(-3 + 4) + (-20)/(-1). Let d = 51 + -36. Let x = u - d. Solve 3*w - x = 5*w for w.
-2
Let s = -739 + 785. Solve -5*n = s - 51 for n.
1
Let o = 711 - 695. Solve -3*h + 4 = o for h.
-4
Let w(a) = a**2 + 7*a - 13. Let f = -33 + 24. Let v be w(f). Suppose -2*l + 5*l = 0. Solve l = v*o - 6 + 26 for o.
-4
Let b(s) = 5*s**2 - 17*s + 12. Let w be b(3). Solve 14*m - 11*m = -w for m.
-2
Let o = -735 + 758. Solve -15*k - o = -23 for k.
0
Let i = -1 + 1. Suppose 2*r - 37 + 11 = i. Let t(q) = 3*q**2 - 16*q - 8. Let v be t(6). Solve -5 + r = -v*f for f.
-2
Suppose -7*w + 0*w = 0. Solve g - 2 + w = 0 for g.
2
Suppose -2*b = -4*t + 96, 3*b - 4 = 2*b. Let a = t - 11. Let k = 5 + -1. Solve -a = -y + k*y for y.
-5
Suppose 6*m - 9 - 3 = 0. Let w = 77 - 74. Solve -m*r = r + w for r.
-1
Let j be (0 + 0)/(-3 - -2). Suppose j = -0*h - 2*h. Suppose h = -5*g + 9*g - 36. Solve 4*i = 7*i + g for i.
-3
Let j be (-84)/(-168)*0/(-1). Solve s + 5 - 1 = j for s.
-4
Let r(z) = -z**2 - 7*z - 4. Let x be r(-6). Suppose 0 = 4*g - g - 15. Suppose -5*s + 31 = j, -5*s + 3*j + 44 = -3. Solve x = -g*n + s for n.
1
Suppose -4*c + 0*c - 8 = 0. Let m be 2 - (c + -1 + 2). Suppose -a + 4*n = 6, -24 = -3*a + a - n. Solve 0 = m*k - 5*k - a for k.
-5
Let o be 48/(-18)*(-6)/4. Let l be (2/o)/(5/10). Solve -3*x - 14 = l for x.
-5
Let j(m) = m**2 - 13*m - 10. Let t be j(14). Let z be (-4)/22 - 26/(-22). Let w = z - 1. Solve t = -4*u - w for u.
-1
Let h be (-2)/(-7) + 552/(-21). Let p = h + 30. Solve -2*s + p = -3*s for s.
-4
Let t(b) be the second derivative of b**3/3 - 3*b**2 + b. Let c be t(4). Let z be (-5080)/1905 + 3*(-14)/(-9). Solve z*m - 4 = -c for m.
1
Let w = -5 + 1. Let p = w - -4. Suppose p*a = -3*a. Solve a = n - 3 - 0 for n.
3
Let r be 1 + 9/(-3) + 6. Suppose 19 = r*y - 21. Let w(p) = p - 1. Let g be w(y). Solve -o - 2*o = g for o.
-3
Let t = -2 + 4. Suppose -l + 5*n + 21 = 10*n, 2*n = 5*l - 51. Solve -t*p + l = 1 for p.
5
Suppose 21*j - 40 = j. Solve x - j = -0*x for x.
2
Let d = -397 + 412. Solve -5*k = -d + 35 for k.
-4
Let k = -10 - -13. Suppose -4 = b + 3*g, -2*g + k*g = -b. Let o be (2/(-6))/(b/(-18)). Solve o*x + 10 = -2*x for x.
-2
Suppose 26*q = 25*q. Solve -2*g - 2*g + 4 = q for g.
1
Let r(h) = -h**3 + 8*h**2 - 6*h - 7. Let o be (3 - 4)*-3 + 4. Let u be r(o). Solve 0*q - 4*q - 20 = u for q.
-5
Suppose 0 = 7*n - 185 + 535. Let o = -45 - n. Solve 8 = -o*q + 7*q for q.
4
Suppose 2*c - 3 = 17. Solve c*j = 7*j for j.
0
Let c(q) = -q + 10. Let w be c(5). Suppose 40 = 3*s - w*s. Let z be -1*(s/4 + 2). Solve b + z*b = -4 for b.
-1
Suppose -3*h = -4*h + 6. Let w be 4/(-12) + 20/h. Suppose 0*n - w*n = 0. Solve n = 4*f - 33 + 13 for f.
5
Let w(g) = 89*g**2 - 2*g**3 - 7*g - 54*g**2 - 11*g + 21. Let a be w(17). Solve c = 5*c - a for c.
1
Let f be (1 + 0 - 1) + 2. Suppose 5*l = -4*d + 27, 0 = -f*l + d - 6*d + 21. Suppose -5*q + l*p + 20 + 11 = 0, 52 = 5*q + 4*p. Solve b + 3*b = -q for b.
-2
Suppose 0 = -19*j + 1170 + 464. Solve j = -11*v + 31 for v.
-5
Let d = -5 - -20. Let c be 10*6/d*1. Solve c*n - 2*n = 0 for n.
0
Let n(k) = 2*k**2 - 31*k + 19. Let c be n(15). Suppose -14 = -a + 4*l, c*l - l = -5*a + 1. Solve -a*o + 1 = -3*o for o.
-1
Suppose 0 = -7*g + 42 + 70. Solve -2*a = -6*a - g for a.
-4
Let r be 1 - (-27)/6*32/72. Solve 3*a = 4*a - r*a for a.
0
Let x = -17 + 20. Suppose -x*c = -4*y + 10, -10*c + 8 = -6*c. Solve -y + 0 = 4*t for t.
-1
Suppose 24*a = 25*a - 4. Solve 12 = -4*n - a for n.
-4
Let j be (2 + -1)*(-1 + -2). Let s be -1*4/(-2)*(-30)/(-12). Let q = s - j. Solve 5*w - 3 = -q for w.
-1
Suppose -47*q - 60*q + 321 = 0. Solve -9 = -q*i - 15 for i.
-2
Let a = -25 - -31. Let c = 15 - a. Solve 4*z + c = -3 for z.
-3
Suppose 0 = 4*z + 140 - 20. Let h = z - -51. Suppose 3 = 5*k - 2. Solve -4*b = -h + k for b.
5
Suppose -9*r + 3 = -87. Solve -2 = 4*h + r for h.
-3
Let q(b) = -13*b - 1. Let d be q(-1). Let r = 16 - d. Solve r + 4 = -4*a for a.
-2
Let b = 75 + -67. Suppose 11 = b*l + 3. Solve l = t - 0 for t.
1
Suppose -4*y + 28 = -4*r, -4*r + 4 = -5*y + 38. Suppose -3*g = -y*g. Let a be g/(4/(-1) - -5). Solve a*w + 2 = w for w.
2
Let h be (4 - 11)*-1 - 1/1. Suppose l = -2*l + 9. Solve -h = -l*j - 0 for j.
2
Let z = -13 - -12. Let x be 5/10 - z/2. Suppose x + 3 = y. Solve y*b + 9 - 1 = 0 for b.
-2
Let k(v) = v + 6. Let i be k(-4). Suppose -o + 2*n = -0*n + 6, i*o - n = 3. Solve 2*c = 4*c - o for c.
2
Suppose 3*c + 3 = 0, 84*u - 79*u - 2*c - 12 = 0. Let k(g) = g**2 + 6*g + 2. Let i be k(-6). Let h be (0*u/(-10))/i. Solve h = 6*a - 2*a + 8 for a.
-2
Suppose 5 = 5*b - 20. Suppose -o - 3 + b = 0. Solve p + 5 = o*p for p.
5
Let i be -2 - 44/(-8)*6. Suppose -i = -2*q - 9. Suppose 2*h - 1 - 9 = 0. Solve q = h*u - 4 for u.
3
Let m = -900 + 905. Solve m*b - 3*b - 6 = 0 for b.
3
Let v(m) = -2 - m + 8 + 9. Let j(a) = 3*a + 4. Let g be j(3). Let r be v(g). Solve -6*z = -r*z - 4 for z.
1
Let d be (-15)/12 - 42/(-8). Suppose -5*q + 32 = 3*y, d*q + y = -q + 24. Solve -q*t + 9*t = -25 for t.
-5
Let p(q) = 2*q - 15. Let n be p(10). Suppose -5*x + n*h = -1 - 4, -7 = -2*x + h. Suppose -x*v = -11*v + 15. Solve 3 + 0 = -v*k for k.
-1
Let v(f) = -11*f + 8. Let l be v(3). Let q = l + 34. Solve -s - 2*s = -q for s.
3
Suppose 2*h = 2*r - 32, 0 = 2*r + 10*h - 8*h - 20. Solve r*q - 4*q - 36 = 0 for q.
4
Suppose 14 = 4*j + 2*s, -3*j - 3*s = -27 + 18. Solve y + y - j = 0 for y.
2
Suppose -8 = -62*z + 58*z. Solve -z*u + 363 - 365 = 0 for u.
-1
Suppose 10 = 5*b, 4*v - 52 = -0*v + 4*b. Let n = v - 11. Solve -n*k = -2*k + 10 for k.
-5
Let o be (6/(-5))/((-1)/(-10)). Suppose 4*l - 5*d + 45 = 0, 4*d - 54 = -3*l + 8*l. Let c = l - o. Solve c*a = 4*a - 8 for a.
4
Let r(f) = -98*f + 493. Let b be r(5). Solve 0 = 92*g - 91*g - b for g.
3
Let d = 6 - 1. Let v(b) = 6*b**3 - b**2 + 1. Let p be v(1). Solve p*j - 4 = d*j for j.
4
Let o(s) = -5*s - 24. Suppose 30 = -5*j + 5. Let q be o(j). Solve -3 = -d + q for d.
4
Suppose -4*l = 5*c + 22 - 1, -l = -5*c - 26. Let h be (10 + -11)*l*-1. Let g = 12 + h. Solve 3*d - g + 1 = 0 for d.
4
Let a be ((-24)/15)/(3/(-15)). Let m = -8 + a. Suppose m*r + r - 1 = 0. Solve 0 = 4*z - 3*z + r for z.
-1
Let q = 23 + -35. Let b be (-5)/(-20) + (-21)/q. Solve b*t - 6*t = 16 for t.
-4
Let z = 3 - 1. Suppose 0*c + 22 | {
"pile_set_name": "DM Mathematics"
} |
gy when four letters picked without replacement from ggckkgigygckkkky.
1/2184
Three letters picked without replacement from {t: 3, n: 3, y: 6, k: 4, f: 1, x: 1}. What is prob of sequence ynf?
1/272
What is prob of sequence ss when two letters picked without replacement from sssspsssssvsvs?
55/91
Three letters picked without replacement from {q: 6, a: 1, f: 1, d: 1}. What is prob of sequence qqd?
5/84
Four letters picked without replacement from xxqxxxqqxxqxxqqxxxq. What is prob of sequence qxxx?
385/3876
Two letters picked without replacement from {a: 6, c: 5, d: 4, g: 1, h: 3, b: 1}. Give prob of sequence db.
1/95
What is prob of sequence do when two letters picked without replacement from {k: 2, d: 3, o: 7, w: 3}?
1/10
Three letters picked without replacement from {t: 9, w: 4, y: 3}. Give prob of sequence tyw.
9/280
Calculate prob of sequence dq when two letters picked without replacement from {d: 1, q: 6, r: 2, e: 3, g: 5}.
3/136
Four letters picked without replacement from hhhkkhhhhkhkhhhkhh. Give prob of sequence hkhh.
143/1224
Three letters picked without replacement from razaarzrrrrranacrr. What is prob of sequence crz?
1/272
Calculate prob of sequence pn when two letters picked without replacement from pppdmndnsmpk.
2/33
What is prob of sequence ulk when three letters picked without replacement from {k: 9, u: 1, l: 4}?
3/182
Three letters picked without replacement from {s: 1, o: 1, b: 1, e: 2}. What is prob of sequence osb?
1/60
Two letters picked without replacement from {d: 1, x: 7, y: 1}. Give prob of sequence xd.
7/72
Four letters picked without replacement from {z: 5, m: 1, u: 2, d: 8}. What is prob of sequence dzdz?
1/39
Three letters picked without replacement from {i: 6, q: 2, o: 1, g: 4}. What is prob of sequence igq?
4/143
Three letters picked without replacement from {f: 12, p: 3}. Give prob of sequence ppp.
1/455
Four letters picked without replacement from rlryrrgpprpjg. What is prob of sequence rjrr?
1/286
Two letters picked without replacement from aaatggatzgggagaaag. What is prob of sequence ga?
28/153
What is prob of sequence ogu when three letters picked without replacement from bbxgohobbguub?
2/429
Four letters picked without replacement from zrwtrzwzrzzrrtzwwr. Give prob of sequence trrz.
1/204
Calculate prob of sequence ke when two letters picked without replacement from zkzewzizkwikeziw.
1/40
Four letters picked without replacement from {o: 4, s: 1, z: 3, l: 3}. What is prob of sequence zlos?
1/220
Two letters picked without replacement from ubifvxvix. What is prob of sequence ui?
1/36
Four letters picked without replacement from emdmdderexergmg. Give prob of sequence ddmx.
1/1820
What is prob of sequence oqdq when four letters picked without replacement from qqqqdoqoqqoqoq?
12/1001
What is prob of sequence nvm when three letters picked without replacement from {m: 4, n: 5, v: 3, i: 1, l: 1}?
5/182
What is prob of sequence la when two letters picked without replacement from {l: 8, j: 4, a: 5}?
5/34
Two letters picked without replacement from zdzpdddddpppdpdddddd. What is prob of sequence dz?
13/190
Calculate prob of sequence hhv when three letters picked without replacement from vhhvvvhv.
5/56
Three letters picked without replacement from rorrxrborlkkrrxrrrr. What is prob of sequence rlk?
11/2907
Two letters picked without replacement from sphymyn. Give prob of sequence ys.
1/21
Calculate prob of sequence ez when two letters picked without replacement from zeekhekzexez.
5/44
Four letters picked without replacement from {f: 5, l: 10, u: 4}. Give prob of sequence lufl.
25/1292
What is prob of sequence aa when two letters picked without replacement from vvvvaavava?
2/15
Four letters picked without replacement from nnxxxxvnnvx. What is prob of sequence xxxn?
1/33
Two letters picked without replacement from {b: 5, i: 4, a: 1, x: 3, s: 1}. Give prob of sequence ia.
2/91
Two letters picked without replacement from {t: 5, u: 6, g: 2}. What is prob of sequence tt?
5/39
Calculate prob of sequence cs when two letters picked without replacement from {t: 4, c: 3, s: 2, g: 4, y: 3}.
1/40
Three letters picked without replacement from dddgdgggdddgggdgddg. Give prob of sequence ggg.
28/323
Four letters picked without replacement from coccocoooc. Give prob of sequence ooco.
5/84
Calculate prob of sequence wk when two letters picked without replacement from {z: 4, f: 2, d: 3, w: 4, k: 1}.
2/91
What is prob of sequence cz when two letters picked without replacement from {d: 1, z: 1, c: 2, s: 1, b: 1, m: 1}?
1/21
Two letters picked without replacement from {w: 1, y: 6, u: 10}. What is prob of sequence uu?
45/136
Three letters picked without replacement from nrriiniinnririn. What is prob of sequence ini?
5/91
Four letters picked without replacement from fuunnuff. Give prob of sequence nnff.
1/140
What is prob of sequence dzu when three letters picked without replacement from xudmezx?
1/210
Calculate prob of sequence ii when two letters picked without replacement from {e: 5, i: 2, f: 7}.
1/91
Two letters picked without replacement from {h: 1, q: 2, s: 1, z: 2, g: 1}. What is prob of sequence zq?
2/21
What is prob of sequence uuu when three letters picked without replacement from {m: 1, k: 1, x: 2, u: 3}?
1/35
Four letters picked without replacement from {z: 2, h: 6, l: 9}. Give prob of sequence hzlz.
9/4760
Calculate prob of sequence wo when two letters picked without replacement from {w: 2, c: 2, o: 5}.
5/36
What is prob of sequence ppp when three letters picked without replacement from {s: 10, p: 2, f: 2}?
0
Calculate prob of sequence ds when two letters picked without replacement from sssfffffd.
1/24
Calculate prob of sequence bvv when three letters picked without replacement from {b: 1, v: 2}.
1/3
Four letters picked without replacement from {h: 2, l: 5}. What is prob of sequence llll?
1/7
Four letters picked without replacement from krxwxkxxxzkxxr. What is prob of sequence rzwr?
1/12012
Four letters picked without replacement from {q: 4, o: 3}. What is prob of sequence qooo?
1/35
What is prob of sequence kttt when four letters picked without replacement from ixkttxkxxttkxktkx?
5/952
Calculate prob of sequence uxh when three letters picked without replacement from {x: 1, u: 2, i: 1, e: 2, h: 1}.
1/105
Four letters picked without replacement from {h: 3, x: 4, t: 1}. What is prob of sequence xhht?
1/70
Two letters picked without replacement from lhlllllhl. Give prob of sequence hh.
1/36
Three letters picked without replacement from {h: 1, f: 1, z: 1, o: 2, u: 2, y: 1}. Give prob of sequence yzf.
1/336
Two letters picked without replacement from {y: 6, p: 6}. What is prob of sequence yy?
5/22
Two letters picked without replacement from vcwwcqcccwqq. Give prob of sequence wq.
3/44
What is prob of sequence ck when two letters picked without replacement from {a: 1, r: 1, i: 2, b: 2, k: 2, c: 1}?
1/36
Calculate prob of sequence llz when three letters picked without replacement from lzzzlzzlzzzlzllzzz.
5/68
Two letters picked without replacement from lovovovvvyovvvyuov. What is prob of sequence ou?
5/306
Three letters picked without replacement from cycsststtfyccsssctt. What is prob of sequence fst?
5/969
Two letters picked without replacement from {z: 1, g: 6, r: 4}. Give prob of sequence gg.
3/11
Two letters picked without replacement from {k: 1, h: 13, c: 2, i: 1}. What is prob of sequence ik?
1/272
Three letters picked without replacement from {l: 1, t: 1, r: 1, m: 2}. Give prob of sequence rmt.
1/30
What is prob of sequence qot when three letters picked without replacement from {q: 1, u: 1, o: 1, t: 2}?
1/30
Two letters picked without replacement from ggbgbggbbbgggggggg. Give prob of sequence gb.
65/306
What is prob of sequence yulu when four letters picked without replacement from ocnlnuynynyuucy?
1/1365
Calculate prob of sequence hpep when four letters picked without replacement from {p: 1, d: 1, h: 4, l: 2, e: 2, f: 2}.
0
What is prob of sequence jd when two letters picked without replacement from {a: 1, w: 1, o: 2, d: 1, j: 5}?
1/18
Four letters picked without replacement from zczczczzzccz. Give prob of sequence czzz.
35/396
What is prob of sequence xxn when three letters picked without replacement from {t: 1, n: 2, k: 8, x: | {
"pile_set_name": "DM Mathematics"
} |
/1785 + -1/357. Let t = 0.04 - -0.96. Put 0, t, z, -4 in descending order.
t, z, 0, -4
Suppose 60*c - 86*c = -26. Suppose 12 = 2*o - 4*o. Sort c, -5, 0, o in descending order.
c, 0, -5, o
Suppose -6*u + 7*u = 21. Let f be (-58)/(-6) + (-14)/u. Let h be (-1)/(f/(-6))*-3. Put 3, -5, h in descending order.
3, h, -5
Let j = 18 + -15. Suppose 4*n - 4 = j*n. Put 5, n, -1 in descending order.
5, n, -1
Let p = -144.9 - -145. Suppose -3*m = -3*v + 24, -5*v - 2*m + 56 = 9. Let b = 26/3 - v. Put 0.5, b, p in descending order.
0.5, p, b
Let o = -1167.07 - -1167. Put 0.3, o, 0, 0.05 in decreasing order.
0.3, 0.05, 0, o
Let w = 3 + -2.9. Let j = -1.6 - 0.8. Let s = j - -2.4. Sort -5, s, w.
-5, s, w
Let b = -31 + 36. Let d be -2 + (-2 - 3)/b. Sort d, -6, -2 in increasing order.
-6, d, -2
Let x = -393 + 390. Put 2, x, 4, -2 in ascending order.
x, -2, 2, 4
Let t = -856 - -841. Put 0.3, t, 0.4 in increasing order.
t, 0.3, 0.4
Suppose -2*o + 0*o = 2*z - 60, 4*z - 123 = -5*o. Let s = -31 + z. Sort -2, s, 0 in descending order.
0, -2, s
Suppose -16*v = -51 + 195. Let p(d) = 3*d**2 - d + 1. Let a be p(1). Let i = a - 3. Put v, i, 4 in descending order.
4, i, v
Let o be (1/(-3))/(2/(-18)). Let z(a) = a - 4. Let n be z(o). Let h be 0*(-3)/18*3. Sort n, h, 2.
n, h, 2
Suppose -8*z - 57 - 7 = 0. Put -7, z, 5 in descending order.
5, -7, z
Let i = 361 + -358. Sort -10, i, 2 in descending order.
i, 2, -10
Let v = 0.0748 - 0.5748. Sort v, -0.3, 4, -0.06 in decreasing order.
4, -0.06, -0.3, v
Let d = -71/25 - -1347/175. Let w = -143/28 + d. Let g = -8 + 4. Sort g, w, -2 in increasing order.
g, -2, w
Suppose -7*z = -3*z - 16. Let p be (-1 + 16/20)/(z/(-20)). Let o be (-1 - -1)/(2 - 1). Sort 3, p, o in descending order.
3, p, o
Let c be 4/(-14) - 115/(-35). Suppose -c*w + 2 - 3 = 5*y, 8 = -3*w + 2*y. Sort w, 3, 18.
w, 3, 18
Suppose v + 2 + 6 = 0. Let l = 7 + v. Let a = -7 + 10. Sort 4, a, l in decreasing order.
4, a, l
Let r(u) = -u**2 - 46*u - 47. Let t be r(-45). Let x be 6/12 - 10/(-4). Suppose 1 - x = -2*n. Sort -4, n, t in descending order.
n, t, -4
Suppose 4*r = 2*r + 22. Suppose 0 = 3*v - r - 1. Sort v, 0, -7 in decreasing order.
v, 0, -7
Let c be ((-4)/(-16))/((-3)/(-24)). Let w be c/7 - (-1)/(-28). Sort 0, w, 4 in increasing order.
0, w, 4
Let r = -15 - -11. Let i be -1*14/((-1344)/16). Put r, i, 1/3 in increasing order.
r, i, 1/3
Let w be -1 - (-13)/12 - (-435)/1260. Sort w, 6.7, 2.
w, 2, 6.7
Let k be 1/4 - 207/12. Sort -5, 2, k in increasing order.
k, -5, 2
Let c = -2.19 - 1.81. Let x = -0.4 - -2.4. Put x, c, 1 in ascending order.
c, 1, x
Suppose -155*t + 157*t - 55 = -3*n, -5*n + 3*t + 60 = 0. Sort -5, n, 54.
-5, n, 54
Suppose -3*u + 3*a = 6 + 9, -u - a = 1. Let s(o) = -o**3 - 2*o**2 + o - 2. Let m be s(u). Let b be m - 3 - (-10)/(-14). Sort b, 4, -3 in decreasing order.
4, b, -3
Let w = 146 - 153. Let m = -0.04 - -3.04. Let r = w + m. Put -0.5, r, 1/2 in decreasing order.
1/2, -0.5, r
Let x(v) = v**2 - 10*v + 3. Let y(z) = -z**2 + 9*z - 4. Let q(l) = 3*x(l) + 4*y(l). Let o be q(5). Let u be (-2)/4 - 2/(-4). Sort 1, u, o in increasing order.
o, u, 1
Let s be 2/(-7) - 111/(-21). Suppose 28 = 4*y + 3*n + n, 8 = 2*y + 5*n. Suppose -s*j + 10 = -2*z, 4*j - 2*z - y = 1. Sort 1, -5, j.
-5, j, 1
Let s(c) = c**3 + 6*c**2 - 6*c + 11. Let p be s(-7). Let o = 5 - 3. Sort -3, o, -5, p.
-5, -3, o, p
Suppose -2*d + 0*d - 12 = 0. Let s be (-3)/d + (-3)/(-2). Let q be s/((-16)/(-36)*-6). Sort -0.5, -4, q in decreasing order.
-0.5, q, -4
Let n = 0 - -0.1. Let g = -0.064 + 26.064. Let j = -26 + g. Sort n, 1, j in decreasing order.
1, n, j
Let c = -52 - -35. Let t = 24 + c. Let y = t + -8. Put 0, y, 5 in descending order.
5, 0, y
Suppose -5*u = -3*u - 10. Suppose 0 = -2*h + s - 6, -h - s - 17 = -u*s. Let f be h*(2 - 1) + 3. Sort 0.1, 0.05, f in increasing order.
0.05, 0.1, f
Let l be (-2)/2 - -2*60/104. Let p = -3.07 - -0.07. Put p, 2/5, l in decreasing order.
2/5, l, p
Let b(h) = 37*h + 2. Let n be b(1). Let l = -38 + n. Let x(m) = -m**3 - m**2 + m. Let u be x(l). Put 3, u, 4 in ascending order.
u, 3, 4
Let o = 1.225 - 1.625. Sort -5, -8, o.
-8, -5, o
Let l = -28 + 30. Suppose 5*y - 14 = -2*v - 0*v, 3*y - 2 = l*v. Put y, -1, 1 in increasing order.
-1, 1, y
Let x(v) be the first derivative of 3*v**2/2 - 10*v - 1. Let j be x(4). Let k = j + 3. Sort 0, k, 6 in decreasing order.
6, k, 0
Suppose 0 = i + j - 6, j - 6 = -2. Suppose -i*y = y + 21. Let g = y + 5. Put 2, -5, g in ascending order.
-5, g, 2
Let m(n) = -5 + 4 - 2 + 2 + 10*n - 2*n**2. Let x be m(5). Sort 35, x, -2 in descending order.
35, x, -2
Let o be 24/2 - 3 - 5. Put 2, -2, -32, o in increasing order.
-32, -2, 2, o
Suppose m + 12 = -2*m, -2*m + 8 = 4*o. Suppose 0 = w - o*w. Suppose w = 2*l + 7 - 1. Sort l, -5, 3/5 in descending order.
3/5, l, -5
Let a = 60 - 58. Put -4, -2, a, -35 in decreasing order.
a, -2, -4, -35
Let j be (0 + 2)/(114/(-14) + 8). Sort 0, -4, j.
j, -4, 0
Let s = -0.1 - 4.9. Let z = 6.644 - -0.356. Put z, -10, s in increasing order.
-10, s, z
Let l(n) = n**2 + 32*n + 78. Let c be l(-28). Put 1, -3, 0, c in ascending order.
c, -3, 0, 1
Let a be (-3)/(-6)*(-1 - -9). Let t(k) = k**2 + 5*k - 108. Let c be t(-13). Put a, -34, c in descending order.
a, c, -34
Let m = 239 + -239. Sort 6, 3, m.
m, 3, 6
Suppose 25 + 0 = -10*r + 45. Let d be 2/(3/((-27)/6)). Let s = 0.1 - 2.1. Sort s, r, d in decreasing order.
r, s, d
Suppose 4*s + s - 45 = -5*o, -2*o + 30 = 5*s. Suppose -12 = -s*v + 8*v. Sort 1, -5, v in decreasing order.
1, v, -5
Let d = -794 - -792. Sort -3, -3/5, 13, d.
-3, d, -3/5, 13
Let x = -81 - -86. Put x, -3, -4, -2 in increasing order.
-4, -3, -2, x
Let s = -2.8 + 3. Let q = -0.3 + s. Let p = -0.577 + 0.677. Put q, 4, p in decreasing order.
4, p, q
Let c = -644 - -641. Put c, 1.49, 3/2, -4 in descending order.
3/2, 1.49, c, -4
Let c = 0 + 3. Let g = -952 + 6644/7. Let j = g - -166/63. Sort c, j, -2/7.
-2/7, j, c
Let p = 2623 + -2599. Sort p, -4, 2, 1 in decreasing order.
p, 2, 1, -4
Let m = -1.73 - -1.63. Put m, -0.5, -3/5, -2 in decreasing order.
m, -0.5, -3/5, -2
Suppose -6*s + 2*s + 3*y = 19, 0 = 5*s - 5*y + 30. Put 23, s, -2 in increasing order.
-2, s, 23
Let t = -546 - -551. Sort -1, -5, 3, t.
-5, -1, 3, t
Suppose -2*m - 2*t - 16 = 4, -2*m - 3*t = 23. Let s(u) = 2*u + 11. Let o be s(m). Let w be 2 + -3 - (-1 + 0). Sort -4, o, w in decreasing order.
w, o, -4
Suppose -7*w + 11*w + 2*y - 14 = 0, -w + 14 = -3*y. Sort w, 1, 22, 3.
1, 3, w, 22
Let q be (-3 - 1 - 0) + 7. Suppose -2*b = -q*b - 2. Let y = 3 - 0. Put 0, y, b in descending order.
y, 0, b
Suppose -2*g + 4 = -12. Suppose 3*u = g*u + 25. Let l(c) = 3*c**2. Let y be l(1). Sort u, y, -1 in descending order.
y, -1, u
Suppose 2*o - 3*t - 15 = 0, -12 = 4*t + 8. Let k = 6 - o. Let g = k - 5. Sort 3, -4, g in increasing order.
-4, g, 3
Let t(o) = o + 1. Let h be t(-1). Let n = -45093 - -45088. Sort -4, h, n in increasing order.
n, -4, h
Suppose 5*m + 6*m = 88. Sort -2, m, 1, 2.
-2, 1, 2, m
Let o be -28 + (-16)/(-4) + -6. Let x = o + 30. Sort 3, -5, x.
-5, x, 3
Suppose -7*x + 10*x = 0. Let l be -14*(-3)/(6 - x). Suppose -3*j = l + 5. Sort 1, j, -1 in increasing order.
j, -1, 1
Let y = 3 + 12. Suppose -5*l + 0*l - y = -5*z, 2*l = z - 8. Suppose o + 5 = -3*p + 5*o, 2*p + 3*o = 25. Put p, z, -5 in decreasing order.
p, z, -5
Suppose 0 = -41*v + 51 + 359. Suppose 0 = -2*n - 10, -m + 3*m - 13 = n. Let t = 6 - m. Sort v, 5, t in ascending order.
t, 5, v
Let a(z) = 15*z - 210. Let r be a(13). Sort r, 1, 10 in decreasing order.
10, 1, r
Let s = -2.9 + 3. Let h = -181 + 1271/7. Put 2/5, s, h, 0.3 in descending order.
h, 2/5, 0.3, s
Let g = 4.0187 - 0.0187. Let b = -517/60 - -35/4. Sort -0.5, g, b in decreasing order.
g, b, -0.5
Let m = 0.094 - 56.094. Let h = m + 59. Put 4, -0.3, h in decreasing order.
4, h, -0.3
Let i = 24 + -24. Suppose 2 = -f + 2*f + 3*r, -5*r + 5 = i. Put 2, 1, f, 3 in increasing order.
f, 1, 2, 3
Let i(f) = f**2 + 39*f - 39. Let s be i(1). Put -8/11, s, -2/5 in descending order.
s, -2/5, -8/11
Let g = 214 - 217. Sort 0.6, g, 3/25.
g, 3/25, 0.6
Let w be -3 - (-6)/(-12)*-78. Let v be (-8)/w + (-34)/(-72). Put 2/17, -2, v, 1 in increasing order.
-2, 2/17, v, 1
Let s = 5.7 + -6.2. Let o = s + 0.9. Let g be ((-4)/3)/(4/(-6)). Put g, -4, o in incr | {
"pile_set_name": "DM Mathematics"
} |
6*v + v - s*v. Let i(u) = u**2. Calculate i(b(r)).
16*r**2
Let r(j) be the first derivative of -j**6/120 - 25*j**3/3 - 20. Let m(k) be the third derivative of r(k). Let b(h) = -8*h. Determine b(m(n)).
24*n**2
Let a(j) = -2*j. Let t(z) = -9*z**2 - 4*z - 140. Determine a(t(q)).
18*q**2 + 8*q + 280
Let j(k) = 77*k**2 + 93*k. Let t(b) = 6*b. Give j(t(n)).
2772*n**2 + 558*n
Let r(v) = 273*v**2 - 297*v - 33. Let q(y) = -17*y**2 + 18*y + 2. Let k(p) = -33*q(p) - 2*r(p). Let h(i) = 31*i**2. Determine h(k(z)).
6975*z**4
Let z(t) = -17*t**2. Let c(d) = 0*d**2 - 14*d + 6*d + 8*d + 2*d**2. Calculate z(c(m)).
-68*m**4
Let a(p) = -305*p**2. Let b(g) = g + 32. Calculate b(a(z)).
-305*z**2 + 32
Let f(c) = 2*c**2. Suppose v - 1 = 1. Let n(g) = 5*g**v - 16 + 16. Calculate n(f(h)).
20*h**4
Let z(n) = 3*n. Let j(i) = i + 1461780. Determine j(z(d)).
3*d + 1461780
Let p(m) be the third derivative of -m**5/30 - m**2 + 13*m. Let o(z) = z**3 - 4*z**2 + 2. Let y be o(4). Let n(a) = 5*a + 4*a**y - 3*a - 2*a. What is p(n(f))?
-32*f**4
Let c(d) = d**2. Let h(w) be the first derivative of 11*w**2 + w**2 - 3*w**2 + 20. Give h(c(r)).
18*r**2
Let d(a) = 2*a - 6. Let s(w) be the first derivative of -w**4/12 - 18*w + 20. Let h(u) be the first derivative of s(u). Give h(d(l)).
-4*l**2 + 24*l - 36
Let c(k) be the first derivative of k**3/3 - 61. Let l(v) = -259*v. What is l(c(f))?
-259*f**2
Let m(o) = 8*o - 5. Suppose 16 = -27*f + 31*f. Let c(r) = -7*r + 4. Let v(w) = f*m(w) + 5*c(w). Let z(q) = 3*q. Give z(v(i)).
-9*i
Let p(l) = -68*l. Let g(u) = -27*u - 204. Calculate p(g(t)).
1836*t + 13872
Let g(o) = -4*o**2. Let x(q) = 89687*q. Give x(g(r)).
-358748*r**2
Let y(u) = 3 - 3 - u. Let f be 6/(-8) - 33/(-12). Let p(m) = -3*m**2 - 2*m**2 - 2 + f. Determine y(p(n)).
5*n**2
Let m(x) = -297*x**2 - 21*x. Let o(d) = -495*d**2 - 36*d. Let f(s) = -12*m(s) + 7*o(s). Let h(r) = -r. What is h(f(y))?
-99*y**2
Let k(g) = -213*g**2 - 2*g. Let b(x) = 4*x. Determine b(k(w)).
-852*w**2 - 8*w
Let b(g) = 4*g. Let w(s) = 310337*s**2. Give w(b(d)).
4965392*d**2
Let y(k) = -2*k**2 + 4. Let z(l) = 1. Let p(b) = 3. Let j(i) = -p(i) + 2*z(i). Let u(n) = -4*j(n) - y(n). Let a(g) = g**2 - 9*g. Determine a(u(t)).
4*t**4 - 18*t**2
Let s(o) = -9 + 19 - 10 - o**2. Let d(p) = -139*p. Determine d(s(v)).
139*v**2
Let c(x) = 3*x**2. Let r(u) = -27502*u**2. Determine c(r(z)).
2269080012*z**4
Let p(h) = 19*h. Let r(o) = 26*o - 10*o - 6*o - 7*o. Let c(s) = 6*p(s) - 39*r(s). Let u(d) = 15*d. What is u(c(m))?
-45*m
Let k(w) = -w**2 + 14664*w. Let i(x) = x**2. Determine k(i(b)).
-b**4 + 14664*b**2
Let i(z) = -25*z - 2. Suppose -8*l - 266 = -3*a - 3*l, 3*a = -l + 242. Let y(n) = -38*n**2 - 43*n**2 + a*n**2. Calculate i(y(d)).
-25*d**2 - 2
Let l(z) = -257*z**2. Let y(h) = 5*h**2 - h. Give y(l(v)).
330245*v**4 + 257*v**2
Let o(h) = h. Let r(u) be the third derivative of -u**5/30 + 31*u**4/24 + 6*u**2 - 14*u. Calculate o(r(a)).
-2*a**2 + 31*a
Let b(o) be the first derivative of o**2/2 - 36. Let w(p) be the third derivative of p**5/20 + 9*p**2. Calculate w(b(l)).
3*l**2
Let w(v) = 163*v**2 + 165*v**2 - 321*v**2. Let t(i) = -12*i. What is w(t(g))?
1008*g**2
Let b(o) = o. Let m(n) = 1859873*n. Calculate m(b(c)).
1859873*c
Let y(o) be the second derivative of -o**5/60 + 19*o**2/2 + 20*o. Let h(f) be the first derivative of y(f). Let p(n) = -3*n. Calculate p(h(c)).
3*c**2
Let s(r) = 162*r - 320*r + 160*r. Let u(o) = o. What is u(s(q))?
2*q
Let w(l) = l. Let n(y) be the second derivative of 11*y - y**4 - y - 6*y + 7*y. Calculate w(n(v)).
-12*v**2
Let a(b) = 138*b**2 - 269*b**2 + 133*b**2. Let h(j) = 45*j - 3. Calculate a(h(l)).
4050*l**2 - 540*l + 18
Suppose 14*a = -8 - 76. Let i(g) = 2. Let r(x) = x**2 - 1. Let v(t) = a*i(t) - 12*r(t). Let q(n) = 3*n. Calculate v(q(f)).
-108*f**2
Let s(d) = 12*d**2 - 3*d + 3. Let n(w) = -4 - 60*w**2 + 4*w + 26*w**2 + 21*w**2. Let l(a) = -3*n(a) - 4*s(a). Let v(t) = -t. Calculate v(l(y)).
9*y**2
Let g(b) = 341*b**2 - 187*b. Let r(c) = 11*c**2 - 6*c. Let z(w) = -6*g(w) + 187*r(w). Let i(k) be the third derivative of k**5/12 - 152*k**2. Give i(z(a)).
605*a**4
Let k(h) = h + 1. Let a be k(1). Let u(t) = 8*t**a - 2*t**2 - t**2. Let s(n) be the second derivative of -n**3/6 + 13*n. Determine u(s(z)).
5*z**2
Let l(k) = -2*k - 4. Let g(b) = 18*b + 12*b - 17*b. What is g(l(d))?
-26*d - 52
Let s(o) = -o - 1. Let x(z) = 2 + 9 - 16 + 0*z - 11*z. Let n(h) = -5*s(h) + x(h). Let d(a) be the first derivative of a**2 + 2. Give n(d(p)).
-12*p
Let k(o) = 4*o. Suppose 0 = -d - 3*z + 9, -5*d - z + 11 = -3*z. Let s(a) = -d*a - 12*a + 26*a - 13*a. What is s(k(p))?
-8*p
Let g(p) = -44*p**2 - 16*p. Let s(k) = 9*k**2 + 3*k. Let f(o) = -3*g(o) - 16*s(o). Let j(n) = -8*n**2. What is f(j(d))?
-768*d**4
Let q(r) = -3*r. Let z(l) = -79*l**2 + 20*l + 12. Let n(b) = 17143*b**2 - 4345*b - 2607. Let s(g) = -4*n(g) - 869*z(g). Determine q(s(i)).
-237*i**2
Let r(c) = 99*c**2 + 2*c - 58. Let k(q) = 17*q**2. Calculate r(k(d)).
28611*d**4 + 34*d**2 - 58
Let o(j) = 7*j**2. Let f = -64 + 54. Let s(c) = -7*c + 5. Let g(m) = -4*m + 3. Let b(w) = f*g(w) + 6*s(w). Determine o(b(h)).
28*h**2
Let u(a) = 9*a. Let d(x) = -37*x. Let r(k) = 65*k. Let o(j) = 7*d(j) + 4*r(j). Calculate o(u(v)).
9*v
Let z(r) = -5*r + 94. Let d(y) = -120*y**2. What is z(d(g))?
600*g**2 + 94
Let m(q) = 116797*q. Let l(w) = 2*w**2. Calculate l(m(t)).
27283078418*t**2
Let t(l) = -6*l. Let v(c) be the second derivative of 0 + 0*c**2 + 20*c - 13/6*c**3. What is t(v(x))?
78*x
Let i(q) = q + 1. Let l(w) = -w**2 - 2*w. Let a(o) = -i(o) - l(o). Let n(h) = 21*h**2 - 6*h + 6. Let y(x) = -6*a(x) - n(x). Let v(z) = -2*z**2. What is y(v(g))?
-108*g**4
Let o(t) be the third derivative of -7*t**5/60 + 177*t**2. Let s(a) = -34*a**2. What is o(s(c))?
-8092*c**4
Let l(d) be the third derivative of d**5/20 - d**3/3 - 23*d**2. Let r(f) = -2*f. Calculate l(r(g)).
12*g**2 - 2
Let a(c) be the third derivative of -c**5/60 - 191*c**2. Let x(b) = -2*b - 89. Determine a(x(k)).
-4*k**2 - 356*k - 7921
Let d(g) = -2*g**2 + 5*g**2 - 2*g**2. Let x(i) = -20*i**2 - 22. Let l(b) = b**2 + 1. Let a(u) = 88*l(u) + 4*x(u). Determine d(a(r)).
64*r**4
Let z(n) = -10*n + 18. Let p(h) = -8*h + 15. Let m(a) = -6*p(a) + 5*z(a). Let k(s) be the third derivative of 5*s**4/24 + 2*s**2. What is m(k(t))?
-10*t
Let y(f) be the second derivative of -f**3/3 + 61*f + 3. Let u(o) = -4*o**2 - 6*o**2 + o**2. What is u(y(l))?
-36*l**2
Let v(i) = i. Let s(a) = a**3 + 15*a**2 - 16*a + 11. Let d be s(-16). Let m(x) = -d*x + 31*x + 9*x. Determine v(m(k)).
29*k
Let b(k) = 150*k**2 + 21*k - 21. Let g(s) = -15*s**2 - 2*s + 2. Let m(p) = 2*b(p) + 21*g(p). Let l(a) = -a - 7*a + 4*a**2 + 8*a. Determine l(m(x)).
900*x**4
Let q(k) = -k**2. Let o(x) be the third derivative of -9*x**4/8 + x**3/6 - 31*x**2. Determine o(q(r)).
27*r**2 + 1
Let c(t) = 7*t**2. Let i(w) = -23*w**2 + 2*w. Let a(p) = 92*p**2 - 9*p. Let s(q) = 2*a(q) + 9*i(q). What is s(c(l))?
-1127*l**4
Let l(i) be the third derivative of 6 + 6*i**2 + 0*i - 11/8*i**4 - 1/3*i**3. Let g(u) = -2*u**2. Determine l(g(b)).
66*b**2 - 2
Let j(l) = l. Let y be 36/10 - 0 - (-16)/40. Let b(o) = y*o**2 - 81 + 81 + 6*o**2. What is j(b(z))?
10*z**2
Let t(p) = p - 1. Let a(x) = 70*x**2 - 5*x + 5. Let q(w) = a(w) + 5*t(w). Let s(o) = -o**2. Give q(s(n)).
70*n**4
Let y(b) = 81*b. Let g(p) be the third derivative of -p**5/30 - 12*p**2 - 2. What is y(g(i))?
-162*i**2
Let t(l) = 6*l**2 - 3 + 3. Let q(o) = o**3 + 6*o**2 + 9*o + 13. Let j be q(-4). Let r(c) = 14*c - j*c + c**2 - 5*c. What is r(t(v))?
36*v**4
Let p(b) = -b**2. Let d(a) be the first derivative of -10 + 1/6*a**4 - 3/2*a**2 + 0*a + 0*a**3. Let o(c) be the second derivative of d(c). Determine o(p(u)).
-4*u**2
Let j(k) = -8*k. Let u(g) = -2*g. Suppose 17*o + 9 = 16*o. Let n(l) = o*u(l) + 2*j(l). Let a(q) = -3*q. Calculate a(n(d)).
-6*d
Let w(g) = -242*g. Let c(p) = -19*p. Calculate c(w(k)).
4598*k
Let w(i) = 2*i. Let v(u) = -1450378*u**2. Determine w(v(z)).
-2900756*z**2
Let v(d) = 2*d**2 + 4*d - 8. Let g(z) = -6*z**2 - 11*z + 22. Let w(m) = -4*g(m) - 11*v(m). Let o(j) = -14*j. Calculate o(w(r)).
-28*r**2
Let a(w) = -16*w. Let p(z) be the third derivative of -z**5/40 - 7*z**3/2 - 6*z**2. Let h(y) be the first derivative of p(y). Determi | {
"pile_set_name": "DM Mathematics"
} |
a, 0
Let f = 2/23 - 39/184. Let c = f + 13/8. Put -0.1, c, 2/7 in descending order.
c, 2/7, -0.1
Suppose 0*b + 3*b - 9 = 0. Suppose j = -k + 6, -2*k = 4*j - 0*k - 14. Let o be (j/3)/(2/12). Sort o, b, 1 in descending order.
b, o, 1
Let b = 1.3 + -0.7. Let w = 1.1 - b. Sort w, -1, 1.
-1, w, 1
Let c = 6 + 9. Let k(r) = 2*r + 14. Let a be k(-5). Suppose -7*l = -a*l - c. Sort l, -1, -0.1 in increasing order.
-1, -0.1, l
Let s be ((-6)/8)/(10/(-8)). Let k(w) = w**2 + 6*w - 2. Suppose 0*u + 2*u + 14 = 0. Let j be k(u). Sort s, j, 2/9 in decreasing order.
j, s, 2/9
Let u = 0.508 - 0.008. Put u, 5, -5/3 in descending order.
5, u, -5/3
Let j(g) = g - 1. Let x be j(4). Suppose x*t - 2 = 7. Sort 1, -1, t.
-1, 1, t
Let w = 2233 - 11053/5. Let y = w - 799/35. Let f = 0.1 - 0.1. Put y, -0.5, f in descending order.
f, y, -0.5
Let l = -1 - 1. Let d = 21.5 + -18. Let m = d - 3. Sort l, m, 0 in ascending order.
l, 0, m
Let t(v) = v**3 - 3*v**2 - 3*v + 6. Let f be t(4). Suppose -u - f = -2*u. Suppose 4*b = -u - 2. Put 1, 3, b in descending order.
3, 1, b
Let o = -12 + 17. Suppose -z - 9 = d - 0*z, -22 = 3*d + 2*z. Sort -5, o, d.
-5, d, o
Suppose 2*a = -s + 69, -4*s - 3*a = a - 292. Let c be 2/(-11) + 3/s. Put c, -1/5, 3/5 in descending order.
3/5, c, -1/5
Let o(d) = -d**2 - 7*d - 1. Let k be o(-7). Sort -5, k, 2.
-5, k, 2
Suppose -9 = -5*x + 6. Suppose 0 = -2*d - 1 + x. Put 3, -5, d in decreasing order.
3, d, -5
Let z = -19 - -20. Let j be (0 - -2)*(0 + z). Put 0, 5, j in ascending order.
0, j, 5
Let s(o) = 3*o - 1. Let f be s(2). Let h = -3 + 0. Sort -1, h, f.
h, -1, f
Let b = 92 - 93.54. Let m = 0.06 - b. Let p = m + -2. Sort -1, 2, p.
-1, p, 2
Let s = 18 + -13. Suppose 1 = -4*a + 5. Sort a, s, -2 in descending order.
s, a, -2
Let f = 1507 + -1496.99. Let u = -10 + f. Let n = u - -0.09. Put n, 5, 0.5 in increasing order.
n, 0.5, 5
Let l be ((-10)/(-2))/((-3)/6). Let w = l - -6. Let h = -5 - -7. Put h, w, -3 in decreasing order.
h, -3, w
Let r(q) = -q - 3. Let t be r(0). Let a = 6 - 11. Put t, a, -4 in increasing order.
a, -4, t
Let a be (-2)/4*8/(-28). Let r = -0.5 + 0.6. Sort -0.3, r, a.
-0.3, r, a
Let t = -7.9 + 9. Let z = -0.1 + t. Let s = -129/55 - -28/11. Sort s, z, 5 in decreasing order.
5, z, s
Let m be (-1)/4 - 18/(-8). Suppose -c + 5*c + 24 = 0. Let y(h) = -h**2 - 4*h + 7. Let t be y(c). Sort t, 5, m.
t, m, 5
Let g(t) = -6*t - 21. Let d be g(-4). Sort 5, -5, 1, d in increasing order.
-5, 1, d, 5
Suppose -2*f + 5 = 3*f. Let o(v) = 5*v**3 - v**2 + 2*v - 2. Let k be o(1). Sort 0, k, f.
0, f, k
Let y = 5 + -3. Suppose y*g = g + 5. Sort 0, 3, g.
0, 3, g
Let f be 1*-3 - (8 + -24). Put 0, f, -4 in decreasing order.
f, 0, -4
Let r be (-2)/12 - 1 - -1. Let g be (7/(-63))/(2/4). Sort 0.5, r, g in ascending order.
g, r, 0.5
Let w = 0.06 - -2.94. Let g = -2.5 + w. Suppose o - 8 = -4*u, 2*u + 0*o - 4*o - 22 = 0. Sort -3, g, u in descending order.
u, g, -3
Suppose 11 - 47 = -4*j. Let v = j + -13. Sort -5, v, -2.
-5, v, -2
Let h = -19 - -30. Let m = -16 + h. Let b = m + 3. Sort 3/2, -0.3, b.
b, -0.3, 3/2
Let u be (44/10)/((-5)/25). Suppose 4*f - 4*b = 12, -2*f + 0 + 11 = 3*b. Let z be (-126)/(-330) + f/u. Sort z, 0, 0.1 in ascending order.
0, 0.1, z
Suppose 3 = t, 0*h + 5*h + t = -7. Sort -3, -5, h in increasing order.
-5, -3, h
Let y = -8 - -16. Let o be ((-4)/(-5))/(20/(-50)). Let p be (-3)/(-20) - o/y. Put -2/13, -5, p in decreasing order.
p, -2/13, -5
Let g(z) = 2*z**3 - z**2 + z - 2. Let y be g(2). Suppose 3*b + b = -y. Let f(s) = s + 2. Let p be f(-3). Sort b, p, -2.
b, -2, p
Let h = -0.3 - -1.3. Let s = -905/7 - -129. Let r = -0.3 + 0.2. Sort h, r, s.
s, r, h
Let v be 8/(-2) - -2 - 2. Suppose 5*l - g = 27, 2*g - 7*g = -3*l + 25. Sort -5, l, v in ascending order.
-5, v, l
Let p(z) = z**3 - 3*z**2 + z - 1. Let r be p(2). Sort 2, -2, r.
r, -2, 2
Suppose 0 = 2*y - 4*x + 2, y - 10*x + 9*x = 2. Let t = -3 + 4. Sort 3, y, t in decreasing order.
y, 3, t
Suppose 0 = -5*v + 24 + 1. Suppose 5*y = 2*d - 6*d + 16, 4 = 2*y + d. Suppose -5*h - 15 = -y. Sort h, v, 2.
h, 2, v
Let a = -15 + 22. Let n = -10 + a. Sort n, -4, 5 in descending order.
5, n, -4
Let a be (-4)/63 + 2/7. Sort 4, -2/9, a in decreasing order.
4, a, -2/9
Let u(x) = -2*x + 5. Let y be u(5). Suppose 2*t - k - 2*k + 12 = 0, 2*k - 8 = 4*t. Suppose 3*j + t = 6. Sort y, -1, j in descending order.
j, -1, y
Let d(l) = -l**2 + 6*l + 1. Let t be d(6). Let k be 12/15*45/54. Let u = t - k. Sort 4, -5, u.
-5, u, 4
Let v = -6 - -12. Suppose -t = v - 3. Put 0.4, 0.2, t in decreasing order.
0.4, 0.2, t
Let n = 0.7 + 0.3. Let p = 3 + n. Let s = -66 - -331/5. Sort -1/2, s, p in descending order.
p, s, -1/2
Suppose -3*m + 35 = -5*o, 11 = -m - 0*o - 4*o. Let u = m + -6. Let b be ((-6)/4)/(18/24). Put u, -4, b in decreasing order.
u, b, -4
Let v(n) = n**3 + n + 3. Suppose s = -0*s. Let j be v(s). Let i = 6 + -4. Put -2, j, i in ascending order.
-2, i, j
Suppose 6 = 3*a, j - 2*a = 2*a - 12. Suppose w - 14 = 5*p, -2*w + w - 5*p = 6. Let x be (-2)/(-1) - (w + -6). Put j, -2, x in increasing order.
j, -2, x
Let n = -0.09 - 0. Let f = -0.06 - n. Let a = -0.23 + f. Sort 5, a, -0.4 in increasing order.
-0.4, a, 5
Suppose -2*k = k + 12. Let u be (-3)/(3 + (-15)/4). Put 5, u, k in descending order.
5, u, k
Let y = 37 - 34. Sort y, 2, -2/3, 0 in descending order.
y, 2, 0, -2/3
Let r be (-4)/(-30)*12/(-16). Sort -1/2, r, 2/15, -2/7 in increasing order.
-1/2, -2/7, r, 2/15
Let d = -0.02 - -0.07. Let y = d + -2.05. Sort y, -1/6, 3 in descending order.
3, -1/6, y
Let w = 0.16 - -0.14. Let o = w - 0.4. Let j = 1 - 4. Sort 0.3, j, o in decreasing order.
0.3, o, j
Let j = -6 - -13. Sort j, 5, 0 in decreasing order.
j, 5, 0
Let t(b) = 2*b - 5. Let z be t(3). Let m be (1 - 0) + 1 + 3. Sort z, m, -2 in increasing order.
-2, z, m
Let a = 2.56 - -0.44. Sort 0.5, 4/3, 1, a in descending order.
a, 4/3, 1, 0.5
Let s = 6 - 7. Let j = s - -0.7. Sort 1, 0, j in increasing order.
j, 0, 1
Suppose 2*a - 5*r = 15, 4*r = 2*a - 7*a + 21. Sort a, -2, -3 in increasing order.
-3, -2, a
Let k = -0.03 + 1.03. Put k, 1/5, 3/5 in descending order.
k, 3/5, 1/5
Let x be (-1 - 2 - -2)*-1. Put -3, -1, x in increasing order.
-3, -1, x
Let s = -11 + 10. Sort -6, s, -0.2, -2 in decreasing order.
-0.2, s, -2, -6
Suppose c + 5 = 6*c. Let f(j) = -6*j**2 + 22 - 22 + j**3. Let s be f(6). Sort c, s, -4 in increasing order.
-4, s, c
Let m = 0.7 + -0.2. Let n = -0.2 - -0.1. Let s = -1.9 + n. Sort m, 4, s in increasing order.
s, m, 4
Let x(v) = 2*v - 6. Let h be x(-6). Let y be ((-2)/(-6))/((-3)/h). Sort y, 0.4, 5 in decreasing order.
5, y, 0.4
Let r be 2 - 1/(2/6). Let y = -7 - r. Let p = y - -2. Sort 5, 0, p in decreasing order.
5, 0, p
Let c be (-3)/2 + (-21)/6. Let y(v) = -v - 1. Let u be y(3). Put u, c, 4 in decreasing order.
4, u, c
Let u = -2 - -4.02. Let t = 0.2 + -0.18. Let r = u - t. Sort -3, r, -1.
-3, -1, r
Let r be (-10)/(-3)*12/10. Let s be 1/2 + (-29)/(-2). Suppose -a - 4*f = 4*a + s, 0 = -5*a - 3*f - 15. Sort r, 3, a.
a, 3, r
Suppose -u = 3*u + 4. Let a be 1/2*(-1 + -9). Let v be ((-12)/(-15))/(-2)*a. Sort v, u, 4 in ascending order.
u, v, 4
Suppose 27*b = 23*b - 4. Suppose -t + 2*t = 2*q - 3, 3*q = 4*t + 7. Sort 0, q, b in ascending order.
b, 0, q
Let j = 13 - 8. Put 2, 2/5, j in decreasing order.
j, 2, 2/5
Let r be -2*(-1)/(-2)*-4. Suppose 2*j + a + 6 = 0, 5*j - 3*j - 2 = -5*a. Suppose 4 + 10 = -4*q + 2*i, 4*q - i = -13. Sort r, q, j in descending order.
r, q, j
Suppose -2*l = c + 4 - 12, -l + 4 = 0. Let x(n) = n**3 + 8*n**2 + 9*n + 10. Suppose 2*b + 21 = -b. Let i be x(b). Sort c, i, 1 in increasing order.
i, c, 1
Let c = 1.995 - -0.005. Put c, 0.2, -0.7 in ascending order.
-0.7, 0.2, c
Let d = -5 - -7. Suppose -d*b - 2 = -3*b + c, -14 = 5*b + c. Let y be 10/8*b*2. Sort 5, 0, y in decreasing order.
5, 0, y
Let y = -7.2 - 7.8. Sort y, -0.3, 1/6 in increasing order.
y, -0.3, 1/6
Let o(h) = h**2 + 4*h - 7. Let j be o(-5). Let k be j/10 + (-24)/5. Let p = -3.07 + 0.07. Sort 1/8, k, p in descending order.
1/8, p, k
Suppose -4*s - l - 96 = 3*l, 25 = -5*l. Let z = -10 - s. Let c be (1 - 7)*(-6)/z. Sort -2, c, 2 in increasing order.
-2, 2, c
Suppose 0*d - 5*d - 30 = 5*f, f + 4*d = -18. Put f, 1, -3, 4 in increasing order.
-3, f, 1, 4
Let c = 89.8 + -90. Put c, -3/8, | {
"pile_set_name": "DM Mathematics"
} |
of a tonne in kilograms?
30500
Convert 9609.309km to meters.
9609309
How many years are there in 54/5 of a decade?
108
What is 1/4 of a litre in millilitres?
250
What is 845.476 millilitres in litres?
0.845476
What is seven quarters of a litre in millilitres?
1750
How many centuries are there in 230862.48 months?
192.3854
What is one quarter of a meter in millimeters?
250
How many millilitres are there in 6.187394 litres?
6187.394
How many litres are there in 0.667216 millilitres?
0.000667216
How many months are there in eleven quarters of a decade?
330
Convert 95754.98 meters to kilometers.
95.75498
Convert 326.1931 litres to millilitres.
326193.1
What is 8603.34ug in kilograms?
0.00000860334
How many decades are there in 0.0344706 centuries?
0.344706
What is 89/2 of a kilometer in meters?
44500
How many meters are there in 3/50 of a kilometer?
60
What is thirty-seven fifths of a century in years?
740
What is 21/5 of a gram in milligrams?
4200
What is 50.73594 days in milliseconds?
4383585216
How many millilitres are there in 1/4 of a litre?
250
What is fifteen quarters of a microsecond in nanoseconds?
3750
What is 0.0528893 millennia in years?
52.8893
What is 4.698051kg in grams?
4698.051
How many litres are there in 49.01661 millilitres?
0.04901661
How many milliseconds are there in fifty-one quarters of a second?
12750
What is 6.665273 decades in years?
66.65273
How many months are there in 13/4 of a millennium?
39000
What is 31/2 of a kilometer in meters?
15500
How many nanograms are there in 3/40 of a milligram?
75000
What is 0.2189552 nanometers in meters?
0.0000000002189552
How many millilitres are there in 51/2 of a litre?
25500
How many kilograms are there in 13/4 of a tonne?
3250
How many nanograms are there in 55/2 of a microgram?
27500
What is twenty-nine halves of a minute in seconds?
870
What is 11/10 of a meter in millimeters?
1100
How many millilitres are there in 31.0098l?
31009.8
How many days are there in thirty sevenths of a week?
30
Convert 199621.5ng to milligrams.
0.1996215
What is 11/4 of a meter in millimeters?
2750
Convert 36324.56 hours to nanoseconds.
130768416000000000
What is 2.778259 years in months?
33.339108
How many millilitres are there in one fifth of a litre?
200
Convert 281.9634m to millimeters.
281963.4
How many minutes are there in 383.2273 days?
551847.312
What is 6/5 of a micrometer in nanometers?
1200
Convert 1.851047nm to millimeters.
0.000001851047
What is 598966.8 millilitres in litres?
598.9668
How many millennia are there in 19.31125 years?
0.01931125
How many milliseconds are there in 2.932128us?
0.002932128
What is 8984.486ml in litres?
8.984486
How many minutes are there in 4/15 of a hour?
16
How many years are there in 0.781375 millennia?
781.375
What is 222.7794ml in litres?
0.2227794
What is 13/4 of a kilogram in grams?
3250
What is 11/4 of a microgram in nanograms?
2750
How many millilitres are there in 34/5 of a litre?
6800
How many months are there in eleven quarters of a century?
3300
How many grams are there in 11/4 of a kilogram?
2750
What is 3/16 of a centimeter in micrometers?
1875
What is 8.71023 millilitres in litres?
0.00871023
How many millilitres are there in twenty-one quarters of a litre?
5250
What is 29/5 of a centimeter in micrometers?
58000
How many minutes are there in one tenth of a week?
1008
What is 37/2 of a decade in months?
2220
What is three tenths of a millimeter in micrometers?
300
How many millilitres are there in 11/2 of a litre?
5500
How many millilitres are there in 7/8 of a litre?
875
What is eleven halves of a millimeter in micrometers?
5500
Convert 689285.8 millennia to centuries.
6892858
What is 787.868ml in litres?
0.787868
What is 9/10 of a micrometer in nanometers?
900
How many millilitres are there in 6/25 of a litre?
240
What is fifty-one halves of a milligram in micrograms?
25500
Convert 108234.2 millimeters to meters.
108.2342
How many milligrams are there in one quarter of a gram?
250
What is 31/2 of a litre in millilitres?
15500
What is twenty-five quarters of a millennium in months?
75000
Convert 111103.7 millilitres to litres.
111.1037
How many litres are there in 9318.653 millilitres?
9.318653
Convert 8.883046kg to nanograms.
8883046000000
How many minutes are there in twenty-nine thirds of a hour?
580
How many years are there in 15/4 of a century?
375
How many nanograms are there in 94393.93 grams?
94393930000000
How many decades are there in 21.78443 millennia?
2178.443
What is 7/2 of a kilometer in meters?
3500
Convert 7.504739 grams to milligrams.
7504.739
Convert 22.91344 millilitres to litres.
0.02291344
How many years are there in 0.0156199 millennia?
15.6199
How many milliseconds are there in 0.4333143 hours?
1559931.48
What is seven halves of a litre in millilitres?
3500
What is 45/4 of a day in hours?
270
How many minutes are there in fifty-one halves of a day?
36720
What is 27/4 of a microgram in nanograms?
6750
How many litres are there in 387.0635 millilitres?
0.3870635
How many decades are there in fifty-nine fifths of a millennium?
1180
How many nanograms are there in 67.91787 micrograms?
67917.87
What is thirteen fifths of a litre in millilitres?
2600
Convert 49817.41ml to litres.
49.81741
What is 1/5 of a litre in millilitres?
200
What is five quarters of a week in minutes?
12600
What is fifty-two fifths of a tonne in kilograms?
10400
How many litres are there in 8144.731 millilitres?
8.144731
How many nanograms are there in fourty-five eighths of a microgram?
5625
Convert 907.0103 millilitres to litres.
0.9070103
Convert 749.217ml to litres.
0.749217
Convert 3.198211 millimeters to centimeters.
0.3198211
How many months are there in eleven quarters of a century?
3300
Convert 0.1547178nm to micrometers.
0.0001547178
What is 8230.307ng in kilograms?
0.000000008230307
What is 500701.1l in millilitres?
500701100
What is 29/5 of a microgram in nanograms?
5800
What is twenty-nine fifths of a litre in millilitres?
5800
What is 187.8669 tonnes in grams?
187866900
What is 8.467437 microseconds in nanoseconds?
8467.437
How many grams are there in one sixteenth of a tonne?
62500
What is 30/7 of a week in minutes?
43200
What is 7/8 of a micrometer in nanometers?
875
What is seventy-four fifths of a milligram in micrograms?
14800
How many months are there in one fifth of a millennium?
2400
How many centuries are there in 3/10 of a millennium?
3
Convert 3143.751l to millilitres.
3143751
How many millilitres are there in five eighths of a litre?
625
Convert 0.9683401ml to litres.
0.0009683401
How many decades are there in 1180.6437 months?
9.8386975
What is 25.68902 litres in millilitres?
25689.02
Convert 5467.874 micrograms to milligrams.
5.467874
How many millilitres are there in 86343.29l?
86343290
Convert 55742.37 centuries to years.
5574237
What is 75/4 of a litre in millilitres?
18750
What is 8807.388 kilograms in tonnes?
8.807388
How many nanograms are there in 21/5 of a microgram?
4200
What is 1/20 of a kilogram in milligrams?
50000
How many years are there in one fifth of a decade?
2
What is 25/4 of a second in milliseconds?
6250
How many millimeters are there in 22540.94km?
22540940000
How many seconds are there in 3/5 of a day?
51840
What is 16/9 of a week in minutes?
17920
What is 143.8930332ms in weeks?
0.000000237918375
How many nanograms are there in one quarter of a microgram?
250
What is eighty-one halves of a meter in centimeters?
4050
What is 0.5614171ng in kilograms?
0.0000000000005614171
What is 1/10 of a gram in milligrams?
100
What is 3/5 of a litre in millilitres?
600
What is 417753.7mm in nanometers?
417753700000
What is nine tenths of a litre in millilitres?
900
What is 1/20 of a microsecond in nanoseconds?
50
How many months are there in 23/3 of a century?
9200
What is 0.063252 years in months?
0.759024
How many years are there in seven halves of a decade?
35
What is 5/4 of a century in months?
1500
What is 53/5 of a microgram in nanograms?
10600
What is twenty-one eighths of a litre in millilitres?
2625
How many millilitres are there in 27/4 of a litre?
6750
What is nineteen quarters of a week in minutes?
47880
What is eleven halves of a day in hours?
132
Convert 180953.4 centuries to millennia.
18095.34
Ho | {
"pile_set_name": "DM Mathematics"
} |
(-1377)/18)/17*12/(-15)*1180/36
118
Evaluate ((-4)/182*1)/(((-1)/9)/(51/459)).
2/91
What is the value of (((-649)/11)/118)/((-8)/272)?
17
What is the value of 161*24/432*18*(-9)/21?
-69
3/((((-351)/104)/(-9))/(123/2132))
6/13
Evaluate ((-42)/(22/11))/((-1456)/6032).
87
What is the value of -24*96/(-1920)*90?
108
Calculate 78/39*2/(-4)*4.
-4
((-1)/((196/(-119))/7))/(12/960*4)
85
What is ((-44)/1056)/(8*(-9)/39744)?
23
((-2024)/230)/((-319)/(-2030))
-56
Evaluate 16*(-42)/(-36)*48/(-10)*(-10)/(-14).
-64
5/((-4)/30*85/(-34))*2
30
What is the value of -115*(4/(-12))/(380/(-456))?
-46
1*(2/(-8))/((-305)/10370)
17/2
What is the value of (1/((-12)/18))/((-12)/50)*22/110?
5/4
What is 3/(((-55)/((-4290)/(-9)))/(1/2))?
-13
648656/(-132472)*87/12
-71/2
Calculate (10*(-92)/(-2415))/(-8).
-1/21
What is (-36)/(((-22176)/(-148))/(-154))?
37
Calculate ((-660)/36)/((-4994)/(-8172)).
-30
What is (-4)/((-1)/(((-276)/(-16))/(-3)))?
-23
What is ((-21600)/(-64))/27*-6*4/(-72)?
25/6
(-10340)/(-4136)*-3*20/48
-25/8
What is ((-1128)/752)/(112/96)?
-9/7
What is (-43890)/(-30030)*(-78)/(-10)?
57/5
312/9*((-5544)/64)/(-77)
39
(144/(-66)*(-5)/35)/(2/21)
36/11
Evaluate (1664/(-1456))/((-20)/(-315)).
-18
Evaluate (((-4446)/1045)/39)/((-23)/((-1495)/52)).
-3/22
Evaluate (-775*74/9250)/(1/(-5)).
31
What is 62/((-6510)/(-1925))*(-3)/5?
-11
((-6496)/(-43120)*-77)/((-1)/(-10))
-116
1*-2*11*(-80)/(-1320)
-4/3
What is the value of ((-40314)/739090)/(5/((-605)/6))?
11/10
Calculate ((-58)/(-2)*8/(-40))/(((-20)/(-5))/(-60)).
87
((-238)/(131376/414))/(42/208)
-26/7
What is the value of 3/42*-4*(13000/50)/(-52)?
10/7
What is the value of (7/((-126)/88))/(-5*16/1440)?
88
What is (2278/(-5695))/(((-1)/310)/(1/(-4)))?
-31
((-1)/30*3)/(23/(920/110))
-2/55
24/70*((-12445)/(-19))/131
12/7
Evaluate -14*(-52)/(-101738)*43.
-4/13
Calculate (3*1)/((-28050)/74800).
-8
((-5)/(-21))/((-22240)/62272)
-2/3
((-27040)/(-7605))/((-720)/27)
-2/15
Evaluate (6/(-2))/(-15)*1*(-155)/(-155)*60.
12
Calculate ((-3)/301*(-2261)/(-6783))/(3/(-7)).
1/129
Calculate 18/5*(-239)/(4302/27).
-27/5
385/(-924)*4/(-9)*873/(-18430)
-1/114
((-54)/(-1512)*-21)/(6/(-1))
1/8
What is (48084/(-20035))/(36/40)?
-8/3
Evaluate -39*((-14)/(1764/70))/(-1).
-65/3
What is the value of ((-12)/(-6405)*7)/((-476)/(-595))?
1/61
What is (-36)/12*(-2262)/(-1305)?
-26/5
Evaluate ((-28)/56)/1*18/21.
-3/7
(1/(-2)*(-5460)/(-273))/(((-63)/6)/7)
20/3
What is the value of (-22930)/18344*(-1)/(15/27)?
9/4
(-13)/1*(56/(-7))/((-20)/(-75)*-6)
-65
What is (((-33)/44)/((-1)/(-2)))/(((-234)/(-120))/13)?
-10
Evaluate ((-1)/(-33)*-3)/((4/(-22))/(24/(-33))).
-4/11
Evaluate (((-160)/(-8320))/((-1)/(-3)))/(18/(-48)).
-2/13
What is ((-24)/(-160))/((-425)/(-110500))?
39
((-1914)/(-3828))/((-59)/(-4))
2/59
Calculate (10/250*-10)/((-6)/(-45)*2/12).
-18
What is (840/(-90))/4*7/(1715/14)?
-2/15
What is the value of (2108/(-1581))/(8/237)?
-79/2
What is ((-17)/3)/((-3)/(-4))*(-20)/((-3680)/828)?
-34
What is (70/(-28))/((-18)/8*34/(-1530)*170)?
-5/17
What is the value of (-57)/1140*8*(-3)/(-15)?
-2/25
Evaluate (1400/(-24))/5*(9/(-126)*-21)/(-5).
7/2
Evaluate (-2*6*11/(-52))/(95202/618813).
33/2
What is (4/(-36)*-2)/(((-1140)/(-63))/(-38))?
-7/15
34*(-30)/12*(-21)/28*(-16)/12
-85
((-2)/(-22))/(374/(-1496))
-4/11
Calculate ((-2)/(-8))/((-5)/40)*5/(30/(-171)).
57
What is (1/(7/(-56)))/((-13804)/29)?
2/119
Evaluate (861/(-210)*5)/((-1)/(-4)*2).
-41
What is (1/884)/((-243)/(-4131))?
1/52
17/(5236/231)*(-312)/9
-26
Calculate ((-870)/(-12))/(4100/(-1640)).
-29
Evaluate 650/130*280/14*-2*(-3)/(-15).
-40
Calculate 46/(-69)*8*4107/(-592).
37
Calculate (60/(-184)*12/5)/(1/((-17)/51)).
6/23
What is (-2)/(-2)*3*((-13570)/(-177))/23?
10
Evaluate 39/(6201/(-53))*12.
-4
Evaluate ((-16)/(-36)*3)/(25*15/75).
4/15
What is (-41)/(10168/4092)*4/(-2)?
33
102/(-8)*(-58656)/6110*10/(-18)
-68
(10/(-1675))/((-8)/(-10))*14/49*-14
2/67
What is 12/20*8/(-6)*(-10270)/43134?
4/21
Calculate (1040/60)/((-98)/(-147)).
26
What is (((-7)/(-2))/((-5)/(200/(-15))))/((-70)/(-420))?
56
Evaluate ((-208)/(-3770))/(42/(-35))*(-20)/120.
2/261
(48/(-72))/(1155/(-33))*(5*3)/3
2/21
What is -138*(-1323)/(-882)*(-2)/(-6)?
-69
Evaluate 2/11*40392/(-7344).
-1
Evaluate 9/(-63)*2*3/(-12)*4.
2/7
(-1392)/((-27144)/(-117))*3/(-102)*-1
-3/17
Calculate (2*388/(-8))/((-85)/2295*27).
97
Evaluate (-3)/(-5)*(-17450)/1387275.
-2/265
What is ((-240)/(-3))/(-4)*(-205)/(-4510)?
-10/11
7/((-7)/20)*(-5355)/2380
45
What is ((561/(-22))/(-3))/(-15*32/960)?
-17
(404/19695)/((-350)/375)
-2/91
Evaluate (9/39)/(((-8)/18)/(1716/1287)).
-9/13
What is the value of 23*139/(242972/(-1520))?
-20
What is -1*13/((-23010)/(-12))*-5?
2/59
Calculate (441252/(-56))/(-51)*20/(-90)*3.
-103
(2/(-4))/((58/(-522))/((68/48)/(-17)))
-3/8
What is (-3)/(3/(2*(-4)/(-8)))*120/(-460)?
6/23
What is the value of (1/(-3))/(((-4)/6)/(112/(-252)*24))?
-16/3
What is the value of (((-45150)/(-258))/175)/((-2)/2*-18)?
1/18
Calculate (17/(-51))/(9/(567/(-156))*5/(-20)).
-7/13
What is (-42)/16*6996/(-61215)?
3/10
What is (-44*(-1)/220)/((-6)/(-40))?
4/3
2/(-3)*-2*3/196*(-1156)/1734
-2/147
What is (-1716)/(-1001)*2/(-9)*-84?
32
Calculate (124/(-16))/((-371)/(-1484)).
-31
2/((4/9)/(-4))*(-409)/(196320/(-640))
-24
Evaluate (-54)/((-8316)/(-22))*-3.
3/7
Calculate (-310)/(-3162)*-17*-21.
35
(-1*(-3)/(-15))/(((-272)/(-4480))/(-17))
56
Evaluate (6/(-44))/(15243/(-9613252)).
86
(-40535)/(-25795)*(-3)/3*-1
11/7
What is the value of 1/(3/(-6)*(-13)/(2639/(-14)))?
-29
What is the value of ((-158)/(-4))/(39/(-2028)*-286*2/(-22))?
-79
What is the value of (-108)/(-168)*146/(-219)*-3?
9/7
What is ((-216)/(-54))/((-80)/1220)?
-61
Evaluate ((-688)/(-430))/(-4)*6.
-12/5
Calculate (-6115)/3669*(-21)/1.
35
Calculate 65/(5720/(-726))*(-2)/(-15).
-11/10
What is the value of 141/(-6)*(-117)/(14625/(-250))?
-47
What is 2/(-1)*3830/(-383)?
20
What is the value of (-2)/((16226/4087)/133)?
-67
Calculate (1*-174)/((30744/(-244))/(-63)).
-87
(-1*252/90)/((-1)/120*4)
84
(-3090)/10815*7/18
-1/9
Evaluate -3*((-4335)/2295)/((-4)/(-12)).
17
Evaluate 18/15*(((-133125)/(-325))/71)/(4/52).
90
Calculate ((-11340)/195)/21*1872/288.
-18
(-17)/(7140/(-216))*-5*(-21)/(-1)
-54
((-1)/((-17)/(153/(-9))))/(11/726)
-66
((-76)/(-7))/((64/28)/((-2104)/(-263)))
38
(2*3/(-84))/((-12)/(-20)*3480/(-504))
1/58
What is (58/957)/(70/18095)?
47/3
What is the value of (-1008)/84*50/200?
-3
Evaluate (72/((-5)/(-2)*(-282)/(-940)))/3.
32
What is ((-4)/22)/(24700/28600)?
-4/19
150/(-945)*(15834/(-145))/(-26)*(-10)/3
20/9
(-4)/(-30)*105/4*81/1134
1/4
(-62)/(6/(-5)*5*9/27)
31
What is the value of (55876/13740)/((-1)/15)?
-61
Calculate ((-4655)/(-1064))/(42*23/(-828)).
-15/4
Evaluate (3/(60/(-8)))/(4/(-735))*692/2076.
49/2
Calculate ((-209)/(-133))/(308264/1808).
2/217
((-405)/(-50))/(-9)*120200/(-9616)
45/4
(-1665)/10*45696/(-51408)
148
Calculate (19*2/7)/(((-10521)/441)/(-167)).
38
(22244/(-1005))/(-83)*-35
-28/3
What is 555*(3555/(-675))/(-79)?
37
What is the value of (((50/(-105))/1)/((-23)/(-621)))/(2/(-7))?
45
Calculate ((-6)/28)/(6*14/(-315)*(-2583)/(-2296)).
5/7
(33*(-35)/(-3465))/(2/(-546))
-91
What is ((2/7)/2)/(((-387035)/3178)/(-55))?
2/31
(-141)/(-7050)*(190/12)/19
1/60
What is the value of (6/28)/((-3987)/9303)?
-1/2
What is the value of ((-6)/(-9)*(6/4)/(-3))/((-2)/114)?
19
(-8)/3*123*(-891)/(-8118)
-36
Calculate (756/3822*7/(-4))/((-1176)/637).
3/16
Calculate (-12)/(-765)*(-5060)/4600*(-30)/22.
2/85
10/(-5)*((-4095)/168)/((-27)/(-36))
65
Calculate (846/114)/((-456)/5776).
-94
(((-41580)/(-1254))/63)/(-5)
-2/19
12/105*(-273*86/(-41925))/((-88)/10)
-2/275
(38/10)/(51/((-22950)/(-60)))*-2
-57
(-2)/(76/(-24168)*-53)
-12
Calculate (37/2664*-12)/(2/16*14).
-2/21
Calculate ((568/(-8520))/(1/(-15)))/(2/76*-2).
-19
What is 18640/932*(-54)/(-40)?
27
Calculate (112/(-6))/((-6531)/(-5598)).
-16
(-1)/(4/(-6))*19*(-118)/13452
-1/4
What is the value of (-6)/((-87)/((-11745)/9))?
-90
What is (2775/(-60))/((-5)/(36/((-54)/(-6))))?
37
Evaluate ((3/2)/((-2304)/(-512)))/(2/(-348)).
-58
(-133)/(-1064)*(66/(-8))/((-9)/(-96))
-11
Calculate 5/(120/9)*(-30832)/(-282).
41
What is (48*476/2448)/((-24)/(-54)*-3)?
-7
What is the value of (2/12)/(179/428526*19)?
21
Evaluate (405/1188)/((3/4)/((-19)/((-95)/(-10)))).
-10/11
What is the value of (-8 | {
"pile_set_name": "DM Mathematics"
} |
-1331 + 1615 for v.
-27
Solve 343877*o + 130 = 343887*o for o.
13
Solve -30*f - 7*f - 38*f - 225 = 0 for f.
-3
Solve -407*u - 3571 = -120*u + 1308 for u.
-17
Solve 168*p - 147*p + 24 = -270 for p.
-14
Solve -12*w + 1676 = 1856 for w.
-15
Solve -41*z - 70 - 77 = 263 for z.
-10
Solve -101*r = 10*r + 181*r + 876 for r.
-3
Solve -150 + 35 = -13*j - 10*j for j.
5
Solve -15*m + 201 = -82*m for m.
-3
Solve -v - 24*v = -127 + 777 for v.
-26
Solve -763*u - 504 = -727*u for u.
-14
Solve -12*y = -56 - 100 for y.
13
Solve -2*q - 459 = 3*q + 12*q for q.
-27
Solve 69*x = -255*x for x.
0
Solve 9*n + 26 - 58 = 40 for n.
8
Solve -25948 = -517*a - 219*a - 262*a for a.
26
Solve -21*b - 8189 = 35*b - 7125 for b.
-19
Solve 15*p + 795 = 795 for p.
0
Solve -17*y - 18*y + 33*y - 4 = 0 for y.
-2
Solve 51*z = -611 - 613 for z.
-24
Solve -4030 = 1014*j - 482 + 508 for j.
-4
Solve 5*b - 21*b - 30 = -10*b for b.
-5
Solve -47*m + 376 = 47*m for m.
4
Solve -361 = 42*m + 437 for m.
-19
Solve -458*n - 31 - 41 = -452*n for n.
-12
Solve -3710 = -144*v + 364 - 906 for v.
22
Solve -3405 = -908*d + 681*d for d.
15
Solve 874 = 992*r - 1045*r - 557 for r.
-27
Solve -46*r - 289 = 6*r - 29 for r.
-5
Solve 108*t + 4624 = 40*t - 204*t for t.
-17
Solve -17*p = 582 - 327 for p.
-15
Solve -203*i = 117*i + 3872 + 4128 for i.
-25
Solve -1331 = -122*g + 621 for g.
16
Solve -9*i = 25*i + 241 - 887 for i.
19
Solve 92*k = -73*k + 1155 for k.
7
Solve 151*j + 11258 - 6577 = 0 for j.
-31
Solve 25*t - 27*t - 10 = 0 for t.
-5
Solve 274*b - 574*b + 256*b = 0 for b.
0
Solve 109*v + 1343 - 275 = -785 for v.
-17
Solve -1986 = -5*c - 2106 for c.
-24
Solve -17031*d = -17097*d + 198 for d.
3
Solve 6*c - 279 = -213 for c.
11
Solve -426 + 48 = -59*z + 271 for z.
11
Solve -387*l + 635*l = 3968 for l.
16
Solve -74*o + 25*o + 16*o = 396 for o.
-12
Solve 5*q + 5*q - 7*q + 45 = 0 for q.
-15
Solve 8*y - y = -26*y + 726 for y.
22
Solve -1013*v + 1500 = -1144*v - 989 for v.
-19
Solve 0 = -4966*w + 5239*w - 1365 for w.
5
Solve -61*d + 17 = -41*d - 3 for d.
1
Solve 0 = 61*g + 61*g - 125*g + 27 for g.
9
Solve 1414 = 300*t - 1117 - 2869 for t.
18
Solve 213959 - 215443 = -53*r for r.
28
Solve -2481 = 2*x + 6*x - 2377 for x.
-13
Solve -605 = 727*f - 672*f for f.
-11
Solve 1940*y - 3869*y + 126 = -1938*y for y.
-14
Solve 0 = 40*c + 83*c - 246 for c.
2
Solve -20*k + 12*k + 2 = -9*k for k.
-2
Solve -77*x + 772 = -846 + 386 for x.
16
Solve 47709*c + 221 = 47692*c for c.
-13
Solve 104*j + 94*j = -32 - 562 for j.
-3
Solve 988*z - 1092*z = 2288 for z.
-22
Solve -26*m + 14*m = 22*m + 680 for m.
-20
Solve -10*z + 4*z - 12*z = -108 for z.
6
Solve 7 = 6*i - 4*i + 5*i for i.
1
Solve -37*g + 129 = -396 - 511 for g.
28
Solve 65*y + 498 = 169*y - 21*y for y.
6
Solve 2*y + 5 = -28 + 21 for y.
-6
Solve -37*z + 1239 = 1572 for z.
-9
Solve -14 = -50*b + 561 + 75 for b.
13
Solve -202*u - 4316 = 49*u - 300 for u.
-16
Solve -92*g = 66*g - 101*g - 855 for g.
15
Solve 314004 - 314418 = 18*s for s.
-23
Solve -770*n - 273 = -805*n - 28 for n.
7
Solve 12726 = -944*y - 470*y for y.
-9
Solve 297*a + 1530 = -145 - 2780 for a.
-15
Solve -1173 + 1175 = 2*s for s.
1
Solve 0 = -57*j + 432 + 67 + 71 for j.
10
Solve 290*y = 217*y - 1022 for y.
-14
Solve 31*v = 10*v + 2159 - 2537 for v.
-18
Solve 1594*v = 1548*v - 368 for v.
-8
Solve 895*j = 861*j - 544 for j.
-16
Solve -158*s + 1610 = 4432 + 2550 for s.
-34
Solve 84*w - 144 = 76*w - 48 for w.
12
Solve -133*v - 2228 = -1164 for v.
-8
Solve 178 = 114*n - 208 - 70 for n.
4
Solve 26*g - 313 = -17*g + 203 for g.
12
Solve 21*c - 250 = -75*c - 29*c for c.
2
Solve 45*r + 253 = -107*r - 203 for r.
-3
Solve 0 = 1099*h + 5891 + 2901 for h.
-8
Solve 0*q + 75 = -27*q + 2*q for q.
-3
Solve -m - 80*m + 1925 = -4*m for m.
25
Solve 115 + 2 = 13*p for p.
9
Solve 1576 + 404 = 63*s + 69*s for s.
15
Solve -98*z = 39*z + 822 for z.
-6
Solve 5158 = -24*g + 4702 for g.
-19
Solve 8 = 61*c + 47*c + 548 for c.
-5
Solve -17 - 344 - 90 = 41*m for m.
-11
Solve -44*n + 32287 = 30703 for n.
36
Solve 122337*m - 122332*m = -45 for m.
-9
Solve 68*p + 617 = 1637 for p.
15
Solve 13167*s = 12996*s - 513 for s.
-3
Solve 10*x - 27 - 101 = -68 for x.
6
Solve -110*a = 12*a for a.
0
Solve -423*k = -370*k + 636 for k.
-12
Solve -16*x - 36 - 131 = 105 for x.
-17
Solve 36*f + 979504 = 978460 for f.
-29
Solve 237*y + 466*y = -13417 + 4981 for y.
-12
Solve -149*p + 7*p = -0*p + 1136 for p.
-8
Solve 319*j = 414*j + 1425 for j.
-15
Solve -2232 - 628 = -266*k + 598 for k.
13
Solve -977 + 1273 = -37*c for c.
-8
Solve -1007*x = 36684 - 10502 for x.
-26
Solve 22*b + 41*b = 10*b - 1590 for b.
-30
Solve 170759 - 168569 = 146*q for q.
15
Solve 385 + 95 = 120*c for c.
4
Solve -51*t - 73*t + 2397 = 17*t for t.
17
Solve 307 = -32*b + 211 for b.
-3
Solve -15*t - 1288 = 60*t + 17*t for t.
-14
Solve 37*s - 15793 + 17162 = 0 for s.
-37
Solve -53 + 160 = 14*l - 117 for l.
16
Solve -9*d + 44 = 98 for d.
-6
Solve 3501 = -791*o - 454 for o.
-5
Solve -65 - 53 = 8*s + 34 for s.
-19
Solve 107*p + 101*p + 507 = 39*p for p.
-3
Solve 73*f + 790 = -150*f - 2332 for f.
-14
Solve 0 = 1078*c - 547*c - 546*c + 330 for c.
22
Solve 1415*m = 1376*m + 262 + 401 for m.
17
Solve 0 = -4801*c + 4778*c + 138 for c.
6
Solve 0 = 128*x + 396 - 2700 for x.
18
Solve 457*f + 1814 = -13724 for f.
-34
Solve 60*g - 637 = -31*g for g.
7
Solve 607 - 210 + 401 = -114*o for o.
-7
Solve -68*q - 20 = -70*q for q.
10
Solve 66*a + 80*a - 18*a = 1536 for a.
12
Solve -57*h + 4*h - 342 = 4*h for h.
-6
Solve 0 = 230*z + 198*z + 5157 + 4259 for z.
-22
Solve 166*x - 11*x - 1550 = 0 for x.
10
Solve -442 = 95*t + 1648 for t.
-22
Solve 0 = 7*h + 364 - 357 for h.
-1
Solve 27*d = 13*d + 16*d - 26 for d.
13
Solve 105 = 13*s - 101*s - 71 for s.
-2
Solve 293*d + 103*d - 15365 = -43*d for d.
35
Solve -592 = 25*g - 7*g - 92*g for g.
8
Solve 696*z = -565*z - 38*z + 10392 for z.
8
Solve 0 = -4*d - 177 + 197 for d.
5
Solve 0*y - 230*y + 2530 = 0 for y.
11
Solve 211*d = -35*d - 3444 for d.
-14
Solve -38*w - 4*w = -16 + 436 for w.
-10
Solve -728*s - 710*s + 1029 = -1487*s for s.
-21
Solve 111 = 36*j - 420 - 477 for j.
28
Solve -5765 = 43*b - 5894 for b.
3
Solve 97 - 12 = -754*z + 737*z for z.
-5
Solve 10*v + 133*v + 1960 = -53*v for v.
-10
Solve -11*s + s - 65 + 35 = 0 for s.
-3
Solve 3682*i - 3663*i = -209 for i.
-11
Solve 1309*n = -3445 - 13572 for n.
-13
Solve 21*x - 22*x + 8 + 4 = 0 for x.
12
Solve -330 = 203*b - 1548 for b.
6
Solve 72*j - 133*j - 130 = -71*j for j.
13
Solve -175*x - 153*x + 4592 = 0 for x.
14
Solve 102 - 8 = -47*w for w.
-2
Solve 1108*m + 1540 = 1248*m for m.
11
Solve -51*m - 236 + 93 - 724 = 0 for m.
-17
Solve 18*y = 13*y + 61*y - 224 for y.
4
Solve -108*g + 121*g = -52 for g.
-4
Solve 3367 + 154 + 119 = 455*r for r.
8
Solve -167*w + 3146 + 1184 - 1324 = 0 for w.
18
Solve -21130*u + 46 = -21107*u for u.
2
Solve -27*t = 393*t + 2520 for t.
-6
Solve 916 = -143*q - 85 for q.
-7
Solve 76*z = -5734 + 4214 for z.
-20
Solve 1711*i - 40866 - 10464 = 0 for i.
30
Solve 0 = -836*r + 828*r + 16 for r.
2
Solve 23*y = 70*y + 643 + 391 for y.
-22
Solve 28*d - 210 + 42 = 0 for d.
6
Solve 26528 = 463*a - 310*a + 676*a for a.
32
Solve 55302*y - 55296*y = -24 for y.
-4
Solve -18*q - 418*q = -6540 for q.
15
Solve 0 = -69*f + 240*f + 3420 for f.
-20
Solve 265*m + 116*m + 404*m + 13345 = 0 for m.
-17
Solve -123*r = 177*r + 1500 for r.
-5
Solve 66*m + m = -40*m + 2568 for m.
24
Solve 0 = 17*d - 64009 + 63992 for d.
1
Solve 0 = -135*j + 361*j + 241*j - 1868 for j.
4
Solve 0 = 163*q - 306*q + 169*q + 910 for q.
-35
Solve 106 = -62*u + 71*u - 65 for u.
19
Solve -16576 = -237*u - 17998 for u.
-6
Solve -71*l - 5430 = -433*l for l.
15
Solve -300*l + 58*l + 2580 = -70*l for l.
15
Solve -20*o = 21*o + 82 for o.
-2
Solve -13*y + 11*y + 130 = 140 for y.
-5
Solve -12*h + 1693 - 1765 = 0 for h.
-6
Solve 13*r = 43 - 30 for r.
1
Solve p - 53 + 120 = 60 for p.
-7
Solve 68*y - 429 = -973 for y.
-8
Solve -92*t = 223*t + 109*t + 5088 for t.
-12
Solve 160*o - 2*o = -12*o + 1020 for o.
6
Solve -115 = 19*n + 75 for n.
-10
Solve -16824 + 16764 = -10*x for x.
6
Solve -55*u - 13 + 5 = 47 for u.
-1
Solve 741 - 181 = 40*o for o.
14
Solve -17*m - 209 + 14 = 48*m for m.
-3
Solve -24*t - 21*t = 89*t + 402 for t.
-3
Solve -26*m + 894 - 686 = 0 for m.
8
So | {
"pile_set_name": "DM Mathematics"
} |
m of -6571, -13029, -19435, -25765, -31995, -38101, -44059?
4*g**3 + 2*g**2 - 6492*g - 85
What is the w'th term of 2050796, 2050811, 2050826?
15*w + 2050781
What is the d'th term of 215470, 215467, 215464, 215461, 215458, 215455?
-3*d + 215473
What is the m'th term of 698, 1410, 2156, 2930, 3726?
-m**3 + 23*m**2 + 650*m + 26
What is the b'th term of 29043, 29178, 29527, 30198, 31299, 32938, 35223, 38262?
18*b**3 - b**2 + 12*b + 29014
What is the z'th term of -43550822, -174203285, -391957390, -696813137, -1088770526, -1567829557?
-43550821*z**2 - 1
What is the k'th term of 5028024, 5027688, 5027340, 5026974, 5026584, 5026164?
-k**3 - 329*k + 5028354
What is the k'th term of -520, -4134, -13916, -32956, -64344, -111170, -176524, -263496?
-515*k**3 + 6*k**2 - 27*k + 16
What is the t'th term of 748, -544, -1850, -3176, -4528, -5912?
-t**3 - t**2 - 1282*t + 2032
What is the o'th term of 8309, 20569, 32829, 45089, 57349?
12260*o - 3951
What is the s'th term of -30444, -30321, -30198?
123*s - 30567
What is the u'th term of -47443, -50564, -55767, -63052, -72419, -83868, -97399?
-1041*u**2 + 2*u - 46404
What is the w'th term of -8130, -6921, -5710, -4497?
w**2 + 1206*w - 9337
What is the k'th term of -2268, -5810, -11944, -21966, -37172, -58858?
-216*k**3 - 2030*k - 22
What is the w'th term of -138, 122, 536, 1104?
77*w**2 + 29*w - 244
What is the x'th term of -141164, -282327, -423494, -564665, -705840?
-2*x**2 - 141157*x - 5
What is the t'th term of 5379, 20497, 45693, 80967, 126319, 181749, 247257?
5039*t**2 + t + 339
What is the j'th term of 5717, 5550, 4411, 1814, -2727, -9698, -19585, -32874?
-81*j**3 + 400*j + 5398
What is the m'th term of 35443, 70659, 105877, 141097?
m**2 + 35213*m + 229
What is the v'th term of -34688626, -69377252, -104065878, -138754504?
-34688626*v
What is the r'th term of -94502, -94283, -94062, -93839?
r**2 + 216*r - 94719
What is the v'th term of 762671, 762675, 762681, 762689, 762699, 762711, 762725?
v**2 + v + 762669
What is the n'th term of -510236, -510168, -510054, -509894, -509688, -509436, -509138?
23*n**2 - n - 510258
What is the g'th term of -18261, -18447, -18633, -18819, -19005?
-186*g - 18075
What is the z'th term of -1751390, -1751403, -1751416, -1751429, -1751442, -1751455?
-13*z - 1751377
What is the n'th term of 212446, 212536, 212626?
90*n + 212356
What is the g'th term of 3751949, 3751946, 3751945, 3751946, 3751949, 3751954, 3751961?
g**2 - 6*g + 3751954
What is the u'th term of -4911, -11751, -18609, -25491, -32403?
-u**3 - 3*u**2 - 6824*u + 1917
What is the a'th term of 83385697, 166771399, 250157111, 333542839, 416928589, 500314367?
a**3 - a**2 + 83385698*a - 1
What is the t'th term of -6347, -32639, -104015, -243017, -472187, -814067, -1291199, -1926125?
-3757*t**3 + 7*t - 2597
What is the w'th term of -12510, -12764, -13028, -13308, -13610?
-w**3 + w**2 - 250*w - 12260
What is the r'th term of -1340, -12030, -29844, -54782?
-3562*r**2 - 4*r + 2226
What is the b'th term of 47, 850, 3067, 7412, 14599, 25342?
119*b**3 - 7*b**2 - 9*b - 56
What is the j'th term of -9005, -17984, -26953, -35912, -44861, -53800?
5*j**2 - 8994*j - 16
What is the p'th term of -33718, -32720, -31722?
998*p - 34716
What is the c'th term of -472, -4738, -12828, -24742, -40480?
-1912*c**2 + 1470*c - 30
What is the j'th term of -26724, -59124, -91522, -123918?
j**2 - 32403*j + 5678
What is the r'th term of -284847267, -284847266, -284847265, -284847264?
r - 284847268
What is the d'th term of -10544, -10619, -10824, -11225, -11888, -12879, -14264, -16109?
-11*d**3 + d**2 - d - 10533
What is the b'th term of 4287, 4499, 4823, 5235, 5711, 6227, 6759, 7283?
-4*b**3 + 80*b**2 + 4211
What is the x'th term of 75924789, 75924790, 75924789, 75924786, 75924781, 75924774, 75924765?
-x**2 + 4*x + 75924786
What is the h'th term of 1529, 1691, 2037, 2627, 3521?
10*h**3 + 32*h**2 - 4*h + 1491
What is the s'th term of -210365, -420811, -631257, -841703?
-210446*s + 81
What is the n'th term of -27856, -55889, -83922, -111955?
-28033*n + 177
What is the t'th term of -525488, -525279, -524934, -524453, -523836, -523083, -522194?
68*t**2 + 5*t - 525561
What is the a'th term of 2996146, 2996086, 2996028, 2995972, 2995918, 2995866, 2995816?
a**2 - 63*a + 2996208
What is the w'th term of -29026, -116108, -261246, -464440, -725690, -1044996, -1422358?
-29028*w**2 + 2*w
What is the z'th term of 11974, 11864, 11732, 11584, 11426, 11264?
z**3 - 17*z**2 - 66*z + 12056
What is the j'th term of -902, -888, -888, -902, -930, -972, -1028?
-7*j**2 + 35*j - 930
What is the b'th term of -14205, -113738, -383933, -910122, -1777637, -3071810, -4877973, -7281458?
-14222*b**3 + b**2 + 18*b - 2
What is the a'th term of 270, 1378, 4450, 10488, 20494, 35470, 56418, 84340?
167*a**3 - 20*a**2 - a + 124
What is the n'th term of -11208576, -11208575, -11208574, -11208573, -11208572, -11208571?
n - 11208577
What is the r'th term of 524719, 524697, 524673, 524647, 524619, 524589, 524557?
-r**2 - 19*r + 524739
What is the m'th term of -423523, -847112, -1270701?
-423589*m + 66
What is the q'th term of 72330822, 72330824, 72330826, 72330828, 72330830, 72330832?
2*q + 72330820
What is the j'th term of 168773, 167267, 165761, 164255, 162749, 161243?
-1506*j + 170279
What is the w'th term of 37318, 149201, 335648, 596659, 932234?
37282*w**2 + 37*w - 1
What is the c'th term of -17766, -18446, -19126, -19806, -20486?
-680*c - 17086
What is the t'th term of -53244, -53327, -53426, -53547, -53696, -53879, -54102, -54371?
-t**3 - 2*t**2 - 70*t - 53171
What is the o'th term of -4491, -19421, -44275, -79029, -123659, -178141, -242451, -316565?
4*o**3 - 4986*o**2 + 491
What is the c'th term of 198052, 396104, 594152, 792196, 990236, 1188272, 1386304?
-2*c**2 + 198058*c - 4
What is the p'th term of 7293, 7327, 7361, 7395?
34*p + 7259
What is the w'th term of -619, -1266, -1907, -2542, -3171?
3*w**2 - 656*w + 34
What is the u'th term of -2364, -2792, -3988, -6342, -10244?
-65*u**3 + 6*u**2 + 9*u - 2314
What is the n'th term of -329111, -658718, -988325?
-329607*n + 496
What is the c'th term of 461339, 922716, 1384093, 1845470, 2306847?
461377*c - 38
What is the o'th term of 138260, 276490, 414720, 552950?
138230*o + 30
What is the i'th term of -31058, -62087, -93030, -123839, -154466, -184863?
8*i**3 - 5*i**2 - 31070*i + 9
What is the k'th term of 8517, 16056, 23595, 31134, 38673, 46212?
7539*k + 978
What is the q'th term of 140548, 562429, 1265642, 2250187, 3516064, 5063273, 6891814?
140666*q**2 - 117*q - 1
What is the b'th term of 126, 836, 2584, 5826, 11018, 18616, 29076?
76*b**3 + 63*b**2 - 11*b - 2
What is the y'th term of 1435, 1090, 513, -296, -1337, -2610, -4115?
-116*y**2 + 3*y + 1548
What is the b'th term of -10345, -20957, -31573, -42199, -52841, -63505, -74197?
-b**3 + 4*b**2 - 10617*b + 269
What is the l'th term of 2316064, 4632073, 6948082?
2316009*l + 55
What is the m'th term of 162260, 325283, 488306, 651329, 814352?
163023*m - 763
What is the u'th term of 61698397, 61698392, 61698385, 61698376, 61698365, 61698352?
-u**2 - 2*u + 61698400
What is the c'th term of -224687, -224541, -224397, -224255, -224115?
-c**2 + 149*c - 224835
What is the r'th term of 8821646, 17643295, 26464946, 35286599?
r**2 + 8821646*r - 1
What is the x'th term of 686117, 1372133, 2058149, 2744165, 3430181?
686016*x + 101
What is the v'th term of -5168879, -5168866, -5168855, -5168846, -5168839, -5168834?
-v**2 + 16*v - 5168894
What is the o'th term of 23684, 94681, 213006, 378659?
23664*o**2 + 5*o + 15
What is the a'th term of 443601, 443434, 443149, 442740, 442201, 441526?
-a**3 - 53*a**2 - a + 443656
What is the k'th term of 7162674, 14325351, 21488028, 28650705, 35813382?
7162677*k - 3
What is the k'th term of 5075975, 10151954, 15227933, 20303912, 25379891, 30455870?
5075979*k - 4
What is the u'th term of -3761911, -7523957, -11286003?
-3762046*u + 135
What is the u'th term of -374654, -749312, -1123958, -1498592, -1873214?
6*u**2 - 374676*u + 16
What is the g'th term of -3832527, -7665076, -11497625, -15330174, -19162723, -22995272?
-3832549*g + 22
What is the g'th term of 5242498, 5242706, 5242914?
208*g + 5242290
What is the k'th term of 28743, 28855, 29045, 29313?
39*k**2 - 5*k + 28709 | {
"pile_set_name": "DM Mathematics"
} |
f = 12.2 - 116.2. Let u = -104.00000087 - f. Round u to seven dps.
-0.0000009
Let g = 33.0694044 + -33.07. What is g rounded to four decimal places?
-0.0006
Let k(v) be the third derivative of -v**4/24 - v**3 - 3*v**2. Let z be k(-8). Suppose -z*t - 2102047 = 3297953. What is t rounded to the nearest one million?
-3000000
Let r = -0.026 - -2.066. Let y = 1.21 - r. What is y rounded to 1 decimal place?
-0.8
Let w = 33615 + -22736. What is w rounded to the nearest one thousand?
11000
Let f = 123 + -142. Let o = 19.000199 + f. What is o rounded to four decimal places?
0.0002
Let i = -117 + 120. Suppose -i*s = -s - 2*b - 11920000, 4*b - 29800000 = -5*s. What is s rounded to the nearest one hundred thousand?
6000000
Let f = -2.1 + 2.2. Let y = -1.1 + f. Let b = -1.00049 - y. Round b to 4 decimal places.
-0.0005
Suppose -5498 - 2332 = -3*i. What is i rounded to the nearest one hundred?
2600
Let x = 40 + -35. Suppose 12840 + 28160 = -x*q. Round q to the nearest 1000.
-8000
Let m = -4651486043 - -4651487141.9999377. Let f = m - 1099. Round f to five dps.
-0.00006
Let c = 32.4 + -18.19. Let m = 0.21 - c. Let l = -14.00000056 - m. Round l to 7 dps.
-0.0000006
Let j = 640.158 - 51.124. Let n = j + -577. Let d = 12.2 - n. What is d rounded to 2 decimal places?
0.17
Let d = -0.29241 + 0.29253613. Round d to 6 decimal places.
0.000126
Let f = 0.03 - 0.13. Let g = 37.1 + f. Let o = g + -36.99999882. What is o rounded to 7 decimal places?
0.0000012
Suppose 104*d - 426240000 = 56*d. What is d rounded to the nearest 100000?
8900000
Let z = 1405.4 + -1596. Let y = 19.3 - -150.7. Let n = z + y. Round n to 0 dps.
-21
Let w = -190.137 - -190. What is w rounded to two decimal places?
-0.14
Let t(p) = 2*p**2 - p. Suppose -12 = -3*g, -3*g + 8*g - 25 = 5*a. Let v be t(a). Let u be 31*-2 + -2 + v. Round u to the nearest ten.
-60
Let i = 96 + -106. Let s be i/55 + ((-125418)/22 - -1). Round s to the nearest one thousand.
-6000
Let z = 2926.000021248 - 2926. What is z rounded to six dps?
0.000021
Let f = 92 - 91.999922. Round f to four decimal places.
0.0001
Let v(b) = 5*b**3 - 3*b**2 - 6*b - 26. Let m be v(11). Round m to the nearest 1000.
6000
Let a = 8095 + -7716.9. Let c = 395 - a. Round c to zero dps.
17
Let t = -54.3 + 98.7. Let q = t - 44.3707. What is q rounded to two dps?
0.03
Let w = 557 - 557.0000434. Round w to six dps.
-0.000043
Let z = -5506 + 5506.4997. Round z to one dp.
0.5
Suppose 3*v - 6 = 6, q + 5*v - 19 = 0. Let z be 8425/((-4 + q)/(-200)). Round z to the nearest 10000.
340000
Suppose -3*g + 39625 = -53984. Let h be g/12 - 2/8. What is h rounded to the nearest one thousand?
3000
Let u = 73 + -145. Let r = u + 20. Let v = -52.0000021 - r. What is v rounded to 6 dps?
-0.000002
Suppose -5*z + 2*z = 3705000. Round z to the nearest 100000.
-1200000
Let g = 531.976 - 524. Let o = -8.02 - -0.02. Let v = g + o. What is v rounded to two decimal places?
-0.02
Suppose -15 = 5*v, 5*y = -0*y + 4*v + 164937. Suppose 11 = 5*z - 9. Suppose -z*h = 4*n - 131980, -h - n - 2*n + y = 0. Round h to the nearest 10000.
30000
Let u = 132.9 + -16.9. Let s = u + -126.3. Round s to the nearest integer.
-10
Let c = 146.93 - 146. Let i = c + -2.78. Let y = i + 2.3. What is y rounded to 1 decimal place?
0.5
Let a(r) = 2501*r**2 + 7*r + 6. Let l = -7 + 12. Suppose -4*y + 8 = -2*z, 0 = 2*z - l*y - 4 + 11. Let x be a(z). Round x to the nearest 10000.
90000
Suppose -4*y + 72 = -92. Let s = y + -41. Suppose 3*f + 1057 = 5*o, s = f - 3*o + 159 + 196. What is f rounded to the nearest 10?
-350
Let u = -574 + 558.06. Let o = u - 0.06. Let c = o + 15.999988. Round c to 5 decimal places.
-0.00001
Let j = -1637 - -1636.953225. Let o = j - -0.047. What is o rounded to 5 decimal places?
0.00023
Let v = -1608131 - -774131. What is v rounded to the nearest 10000?
-830000
Let c = 10601128113663242.53999959 - 10601128184948583. Let p = c - -71285295.46. Let t = -45 - p. Round t to 7 dps.
0.0000004
Let n = -2.821 - -89.851. Let y = n - 2.03. Let x = y - 85.00000179. What is x rounded to 7 dps?
-0.0000018
Suppose -2*l - 6 = -3*t, -2*l = t + 2 + 4. Suppose 990 = -t*o + o. What is o rounded to the nearest 100?
1000
Suppose -2*g = 3*g - 2679895. Let r = -25465 + 951444. Let o = r - g. Round o to the nearest one hundred thousand.
400000
Let d = 1394 + -1393.9999177. Round d to five decimal places.
0.00008
Let o = 8.5 - 8.672. Let k = o - 145.828. Let w = -146.63 - k. What is w rounded to one decimal place?
-0.6
Suppose -87447 - 257355 = -4*g + s, 2*g - s = 172402. What is g rounded to the nearest one thousand?
86000
Let b = 0.15403 + -0.153. What is b rounded to 3 dps?
0.001
Let x = -0.19 + 0.2. Let z = 12.01 - x. Let t = z - 12.0014. Round t to 3 dps.
-0.001
Let w = 10 - 8. Suppose 644 - 4284 = w*r. Round r to the nearest 100.
-1800
Suppose 114 + 42 = 4*h. Let i(u) = 33*u - 20*u + 5 + h*u - 1. Let x be i(-7). Round x to the nearest 100.
-400
Let l = -2988 - -5042. What is l rounded to the nearest 1000?
2000
Let v = 17.184 + -17.1840029044. Round v to seven decimal places.
-0.0000029
Let x = 208.00000084 + -208. What is x rounded to 7 dps?
0.0000008
Suppose -u + 5 = 0, 1 = z + 3*u - 2. Let x(j) = 873*j**3 - 9*j**2 + 12*j - 16. Let s be x(z). Round s to the nearest one hundred thousand.
-1500000
Let n = 308476 - 571476. What is n rounded to the nearest ten thousand?
-260000
Let l = 543.00908 - 543. Round l to 3 dps.
0.009
Let w = -2.83 + 3. Let j = 0.16989 - w. What is j rounded to 4 decimal places?
-0.0001
Let o = -0.01211 + 0.0104. Round o to 4 decimal places.
-0.0017
Let x = -160 + 274. Let d = -113.746 + x. Round d to 1 decimal place.
0.3
Let l = -0.99 + -51.01. Let p = l + 63.2. Round p to the nearest integer.
11
Let v = 1480 + -1479.99998761. What is v rounded to 6 decimal places?
0.000012
Let q = -190 + 315. Let g = 125.0424 - q. What is g rounded to three dps?
0.042
Let n be 848069991/27 + 39/9 + -4. What is n rounded to the nearest one million?
31000000
Let t = 333.198241 - 333.2. What is t rounded to 4 dps?
-0.0018
Let y = 2040030 - 2992075. Let l = y + 672045. Round l to the nearest 100000.
-300000
Let n = 124 + -139.88. Let q = 16 + n. Let l = 0.1199962 - q. What is l rounded to 6 dps?
-0.000004
Let m = -7554559 + 7554559.3050163. Let y = -0.305 + m. What is y rounded to 6 decimal places?
0.000016
Let r = -2.3158 + 0.4048. What is r rounded to zero dps?
-2
Let a(h) = 2*h - 5. Let o be a(4). Let v be (2 - 2) + 115 + o. Let i be (-1)/(-3 + v/39). Round i to the nearest ten.
-40
Let j = 670 - 175. What is j rounded to the nearest ten?
500
Let u = 36.89999774 - 36.9. Round u to 7 decimal places.
-0.0000023
Let p = 65.4 + -91. Let w = p + 29. What is w rounded to the nearest integer?
3
Suppose -560213 - 79787 = 2*j. What is j rounded to the nearest one hundred thousand?
-300000
Let j = 190 - 193.25. Let v = -75.9 + 80. Let y = j + v. What is y rounded to one dp?
0.9
Let c = -68734 + 68676.074. Let d = 57.97 + 0.03. Let z = c + d. What is z rounded to two decimal places?
0.07
Let y = 10.599431 + -10.6. What is y rounded to five dps?
-0.00057
Let a = 459 + -458.9998537. Round a to 5 dps.
0.00015
Let i = 54.088401 - 54.3506. Let j = i - -0.262. Round j to 5 dps.
-0.0002
Let w = -90.45 + 139.4. Let z = -48 + w. What is z rounded to one decimal place?
1
Let d = -33.997 + 34. Let u = d + -0.053. What is u rounded to 1 dp?
-0.1
Suppose -19199946 = -3*q + 2*l, -2*l + 12604637 = 3*q - 6595297. Suppose 5*m = -5*v + v + 8000016, -4*m + 5*v + q = 0. Round m to the nearest 100000.
1600000
Let n = 0.37327 + -0.377. What is n rounded to 4 decimal places?
-0.0037
Let t = 1961 + -1961.01746. Round t to three dps.
-0.017
Let r(v) = 27*v - 4. Let g be 3 - (0 - 2/1). Let n be r(g). Let m = n + -78. Round m to the nearest ten.
50
Let t be (-3 - 0/4)/(-1). Suppose 0 = -t*s + 4*s - 3012. Let k = s - 1682. What is k rounded to the nearest one hundred?
1300
Let x = -349.161 - -349. Let s = x - -13.561. Round s to the nearest integer.
13
Let s = -0.1081 - -509.1081. Let q = 460.1 - s. Round q to the nearest 10.
-50
Suppose -120 = -5*b + q + 4757, q - 1955 = -2*b. Round b to the nearest 10.
980
Suppose -8*b - 3*s = -13*b + 2553506, s + 2 = 0. Round b to the nearest 100000.
500000
Suppose 75 = -2*r - 3*r. Let t be (20 - r | {
"pile_set_name": "DM Mathematics"
} |
ase 2, what is 10000001001011101001010011 - -1?
10000001001011101001010100
In base 13, what is -24 - 3043?
-3067
In base 8, what is 1 + 453411564?
453411565
In base 10, what is 4239 + -638?
3601
In base 9, what is -1556 + 83683?
82126
In base 15, what is -84ed - 5ca?
-8ac8
In base 13, what is 6679 + -8b?
65bb
In base 7, what is -114 + 121311?
121164
In base 8, what is 34 - 755753?
-755717
In base 7, what is 513 + 105013?
105526
In base 15, what is 1a6b + -27ed?
-c82
In base 3, what is 110200 + 2002011111?
2002122011
In base 7, what is -31522 + 6311?
-22211
In base 11, what is -a1467 + -31?
-a1498
In base 11, what is 106509880 + 4?
106509884
In base 14, what is -9209 + -157?
-9362
In base 7, what is -101 - 532164?
-532265
In base 4, what is 1003011021301 + 3?
1003011021310
In base 12, what is 60760 - -a?
6076a
In base 13, what is -3 + -6a8c24?
-6a8c27
In base 12, what is 12b2 + 7bbb4?
812a6
In base 9, what is -4700 + -1787?
-6587
In base 13, what is 42095 + 20?
420b5
In base 13, what is 1694831 - -5?
1694836
In base 14, what is -3230a1 - -87?
-323018
In base 2, what is 101010001011100 - -1111100111010?
111001110010110
In base 16, what is -2bfb6 - 86?
-2c03c
In base 12, what is 164181 - -20?
1641a1
In base 8, what is 6330 - 123230?
-114700
In base 6, what is 4501 - 540210?
-531305
In base 4, what is -1122022 - 2202302?
-3330330
In base 14, what is 2 - a45b037?
-a45b035
In base 12, what is 420a8a1a - -1?
420a8a1b
In base 15, what is 66c - 1520?
-da3
In base 6, what is 4 - 21015505?
-21015501
In base 7, what is 22465116 + -6?
22465110
In base 7, what is -60612143 + 3?
-60612140
In base 11, what is -2716 + a50?
-1776
In base 16, what is -1 + -2e61a3?
-2e61a4
In base 6, what is 3503 + 154221?
202124
In base 8, what is 446275316 - 4?
446275312
In base 14, what is 37366 - 87?
372bd
In base 7, what is 43003 - -15615?
61621
In base 4, what is 211 + 3233330120?
3233330331
In base 2, what is 1111110010000 + 110111010000?
10110101100000
In base 13, what is 49c7780 - 5?
49c7778
In base 12, what is -2422 - -428?
-1bb6
In base 9, what is -182512 - -260?
-182242
In base 15, what is -7a + ded1de?
ded164
In base 10, what is -101 - 272840?
-272941
In base 9, what is -34883 + -232?
-35225
In base 4, what is -22 - -111220001323?
111220001301
In base 7, what is 61 + -4433120?
-4433026
In base 13, what is 3b9 + -28c32?
-28846
In base 11, what is -36684a100 - 2?
-36684a102
In base 4, what is 10 + -100021011012?
-100021011002
In base 9, what is -30005 - -44?
-28851
In base 13, what is -3 - 301254c?
-3012552
In base 11, what is 152 - 110904?
-110762
In base 12, what is -21b2a7 + -322?
-21b609
In base 8, what is -13274 + 2353?
-10721
In base 11, what is 4158a620 - 4?
4158a617
In base 9, what is 10617624 - 1?
10617623
In base 3, what is -2200021022000 + -12?
-2200021022012
In base 11, what is -138 - -7972a2?
797165
In base 16, what is -24e6542 - -1?
-24e6541
In base 4, what is 13110210220 - 10?
13110210210
In base 9, what is 558406 - -16?
558423
In base 7, what is 3543 - 3161061?
-3154215
In base 9, what is 708 - 32778?
-32070
In base 14, what is -2d5a - 400b?
-6d67
In base 12, what is -1 - -947528?
947527
In base 5, what is -434131144323 + 10?
-434131144313
In base 13, what is -985c - 9b?
-992a
In base 6, what is 35000241 - 101?
35000140
In base 12, what is 393511 - -252?
393763
In base 5, what is 33311410121 - 3?
33311410113
In base 11, what is -1355972 + -1a3?
-1356065
In base 14, what is -762 + c6?
-67a
In base 12, what is 59882303 - 1?
59882302
In base 16, what is -12070 + -366?
-123d6
In base 6, what is -20524215331 + 10?
-20524215321
In base 13, what is -21040 - -a3?
-20c6a
In base 14, what is -2 + -4db546?
-4db548
In base 3, what is 1100 + 100101110020?
100101111120
In base 14, what is -3903897 + -2?
-3903899
In base 4, what is -1 - 23332102102?
-23332102103
In base 7, what is -4 - 151253605?
-151253612
In base 7, what is 226356 + -232?
226124
In base 3, what is 2020 - -2011210111?
2011212201
In base 8, what is -3 + 106337225?
106337222
In base 2, what is 10000001001111 - 111010011?
1111001111100
In base 5, what is -102334133200 + 30?
-102334133120
In base 3, what is -12 + 10201102211001122?
10201102211001110
In base 4, what is 13003012023 + 2231?
13003020320
In base 13, what is -6a1a7726 + -4?
-6a1a772a
In base 7, what is -4 + -1013600124?
-1013600131
In base 12, what is 75 - 6b574?
-6b4bb
In base 5, what is -1 + 410431212034?
410431212033
In base 11, what is 8a70 - -7982?
15942
In base 9, what is 42363 - 36?
42326
In base 9, what is 114222776 - 3?
114222773
In base 16, what is 9 + 15cef3?
15cefc
In base 8, what is 203 - 17070?
-16665
In base 11, what is 712a - -555?
7684
In base 6, what is 44523252 - -141?
44523433
In base 4, what is -22103211332 + 23?
-22103211303
In base 16, what is -1b1 - 1224?
-13d5
In base 12, what is -32a0735 - -1?
-32a0734
In base 8, what is 23123 + 302?
23425
In base 7, what is -5401000 + 412?
-5400255
In base 13, what is -45cb6 + b23?
-45193
In base 13, what is -56 - 28680?
-28706
In base 4, what is -12 - 2121310100020?
-2121310100032
In base 15, what is d01 + 44ebd?
45cbe
In base 6, what is 1 + -41244400?
-41244355
In base 14, what is 463a359 - -5?
463a360
In base 13, what is -23 - 1a5c2b6?
-1a5c309
In base 12, what is 2 - 1a174a87?
-1a174a85
In base 8, what is -12 + 7146654?
7146642
In base 5, what is 134240 + -1104444?
-420204
In base 8, what is 0 - -16214557?
16214557
In base 16, what is 11a8f858 - 3?
11a8f855
In base 16, what is -15df0c + -20d?
-15e119
In base 12, what is -652 + bbb1?
b55b
In base 14, what is 43a0 - -8476?
c836
In base 9, what is -6 - 46683676?
-46683683
In base 9, what is 1 + 22020704?
22020705
In base 15, what is -79921ab + -2?
-79921ad
In base 14, what is d12214 + 4?
d12218
In base 3, what is -200001122 - 20020?
-200021212
In base 8, what is -267300 - 1361?
-270661
In base 12, what is 35b2a + -1768?
34382
In base 15, what is 4d7cc - -10?
4d7dc
In base 6, what is -313255 - -3520?
-305335
In base 10, what is -214927 - -1024?
-213903
In base 11, what is 4096 - -152?
4238
In base 15, what is 2e009c5 + -2?
2e009c3
In base 5, what is 342333134 + -4040?
342324044
In base 12, what is 27500124 - 2?
27500122
In base 2, what is -1011100010000110101010 + 1?
-1011100010000110101001
In base 14, what is -26b3ad + c7?
-26b2c6
In base 2, what is 11010111000101110011111 + 11?
11010111000101110100010
In base 2, what is -11 - 1010001000001111110000011?
-1010001000001111110000110
In base 8, what is 445 - -63220?
63665
In base 7, what is -6232 - -40122?
30560
In base 13, what is -87368 - -68?
-87300
In base 6, what is -1 - 10250522234?
-10250522235
In base 13, what is -5531712 - -9?
-5531706
In base 6, what is 201535 - -23433?
225412
In base 16, what is -27e563c + -8?
-27e5644
In base 7, what is -20303 + -21536?
-42142
In base 10, what is 91 + 6029?
6120
In base 15, what is 2 - 60752c?
-60752a
In base 15, what is -131c75 - 31?
-131ca6
In base 3, what is -10011022 + 21220?
-2212102
In base 7, what is 11033030 + 110?
11033140
In base 5, what is -2 + 2030322203?
2030322201
In base 11, what is -25a0873 + 81?
-25a07a2
In base 9, what is -6820 - -44152?
36232
In base 12, what is 241 + 163208?
163449
In base 4, what is 110223 - 13331202?
-13220313
In base 4, what is -113 + 1100313002?
1100312223
In base 8, what is 417543722 + 0?
417543722
In base 14, what is -816284 - -4?
-816280
In base 2, what is 111010011 + -110111?
110011100
In base 3, what is 201020210012 + 212?
201020211001
In base 7, what is -1634262 - -42?
-1634220
In base 2, what is 101010101 - -111001010000?
111110100101
In base 2, what is 101110 + 1010011111?
1011001101
In base 6, what is -115552 + 105?
-115443
In base 6, what is -2505243 - -4001?
-2501242
In base 15, what is -1adbecd + 1?
-1adbecc
In base 4, what is 1 - 111222221131?
-111222221130
In base 15, what is 2246 - 70b?
1a3a
In base 13, what is 44500a + 12?
44501c
In base 5, what is -410224440 - -11344?
-410213041
In base 4, what is 2202332313212 + -11?
2202332313201
In base 11, what is 4 + 560829?
560832
In base 6, what is -142345002 + 102?
-142344500
In base 6, what is -50052040 + -51?
-50052131
In base 10, what is 101550634 + 6?
101550640
In base 16, what is 18 - 2f6a046?
-2f6a02e
In base 13, what is 3 + 27103b? | {
"pile_set_name": "DM Mathematics"
} |
et h = b - -389/2. What is the common denominator of 4/14*(-15)/4 and h?
14
Suppose -45 = -4*a + 67. Suppose 4*b + 50 - 222 = 0. Suppose -45 = -4*r + b. Calculate the least common multiple of r and a.
308
Let x(m) be the second derivative of -m**5/20 + m**4/12 + m**3/3 - 4*m. Let i be x(2). Let v = i + 10. Calculate the least common multiple of v and 22.
110
Let t = 5765/14 + -411. Calculate the common denominator of t and -7/20.
140
Let d = 2/40533 - -959261/405330. Let x = -741607/69 + 10747. Calculate the common denominator of d and x.
690
Suppose 26*b - 28*b = -20. What is the lowest common multiple of 154 and b?
770
Let a(v) = 17*v + 128. What is the least common multiple of 30 and a(-7)?
90
Let r = -9 - -12. Let a(j) = 3*j**2 - 3*j - 3. Calculate the lowest common multiple of 18 and a(r).
90
Let y = -5369/4 - -4046/3. Let o = 43992 + -31396. Let b = o - 126063/10. Find the common denominator of b and y.
60
Let l = 8 + -6. Suppose l*n - 5*x - 37 = 0, -5*n - 4*x + 2*x + 20 = 0. What is the least common multiple of 3 and n?
6
Let o = 809329/48 - 16863. Calculate the common denominator of o and 125/36.
144
Find the common denominator of -46/11 and 15/9*(-2)/((-30)/5).
99
Let d be 4/(-14) - (-2664850)/70. Let q = -1370351/36 + d. Find the common denominator of q and -61/20.
180
Suppose -20*w + 928 = -16*w. Suppose -3*f + 2*f = -2*t - 58, 4*f = -2*t + w. Calculate the least common multiple of f and 10.
290
Suppose 0 = 2*s - 14 + 54. Let c = 30 + s. Let d = c + -2. Calculate the least common multiple of d and 4.
8
Let y be 53/(-11) + 44/(-242). Calculate the common denominator of -43/18 and (-524*y/240)/((-10)/(-4)).
90
Let j(z) = 327*z**2 + 3*z - 4. Let p be j(1). Let i = -212 + p. What is the least common multiple of i and 12?
228
Let q(u) = u - 4. Let z be q(4). Suppose -2*g + 0*g + b - 49 = z, -b = g + 17. Let x = g - -26. Calculate the lowest common multiple of x and 3.
12
Let b be 1/(-18)*(-313196)/2954. Let k = b + -2/1477. Calculate the common denominator of (77/42*2)/3 and k.
9
Let g(j) be the third derivative of 763*j**6/40 + j**4/24 + 6*j**2. Let f be g(-1). Let l = -18379/8 - f. Find the common denominator of l and -29/8.
8
Calculate the common denominator of -109/420 and 13/((-455)/154)*10.
420
Let w = -475 + 481. What is the smallest common multiple of w and 6*7 - (-1 + 1)?
42
Suppose -9*p + 96 = 3*p. Calculate the smallest common multiple of 23 and p.
184
Suppose 0 = 19*q - 2165 - 343. What is the least common multiple of 180 and q?
1980
Let q = 31 - 29. Suppose 3*i - 2*c - 126 = -2*i, 0 = -q*i + 2*c + 54. Calculate the lowest common multiple of i and 32.
96
Let l = -23 + 29. Calculate the common denominator of -4 - ((-545)/(-4))/(-5) and (-12)/(-4) - (-31)/l.
12
Let x be ((-3)/(-2))/((-3)/(-2)). Let o be 7 + 10 + (x - 2). What is the smallest common multiple of -1*o/(-4) + 3 and 4?
28
Suppose -4*a + 4*r + 360 = a, 0 = -4*a - 2*r + 288. Calculate the smallest common multiple of a and 56.
504
Let x = 1806 - 5488/3. Suppose -r - 3 = 0, -5*r = -3*a + 18 + 6. Calculate the common denominator of x and (-1)/a + (-151)/(-12).
12
Let v(c) = c**3 + 16*c**2 + 47*c - 8. Calculate the least common multiple of 33 and v(-12).
132
Let p = 57638417/10 + -5768971. Let w = p - -5118. Find the common denominator of -47/14 and w.
70
Let l(k) = k**2 - 7*k + 12. Suppose 3*g - 15 = -2*p, 11 = 5*g - p - 27. What is the lowest common multiple of 14 and l(g)?
84
Let h(a) = -2*a + 10. Let d be h(3). What is the common denominator of (-3)/d + 1712/(-704) and -22/13?
143
Let d(t) = -t**2 - 26*t - 14. Let g be d(-23). Let k = g - 49. What is the least common multiple of 2 and k?
6
Suppose -136 = -2*l - 2*p - 14, 167 = 3*l - 5*p. Suppose 0 = -55*s + l*s - 48. Calculate the smallest common multiple of 16 and s.
48
Suppose 2*p + h - 70 = 0, 3*p - 121 = -2*h - 18. Let i = p + -71. Let o = -431/4 + 90. What is the common denominator of i and o?
4
Let o = 54201 + -4064999/75. Calculate the common denominator of o and 49/27.
675
Let b be 2 - -4 - 0/(-7). Suppose 17 = b*t + 5. Let g(l) = 5*l + 4. Calculate the lowest common multiple of g(t) and 16.
112
Let o = 121823/72 - 13587/8. Find the common denominator of o and 107/76.
684
Let o(r) = -11*r + 69. Let z(a) = -9*a + 1 + 3*a + 3*a - 16*a. What is the lowest common multiple of o(5) and z(-1)?
140
Let r = 56 + -65. Find the common denominator of (73/18)/(12/r) and -52/9.
72
Suppose -q + 4*q + 8 = -2*y, 4*q - y = 4. Let x = -1 - -3. Suppose x*r + 0*r + 2*i - 24 = q, -r + 16 = 2*i. What is the smallest common multiple of r and 12?
24
Suppose 3*k - 112 = -4*h, -3*h = 25 - 10. What is the least common multiple of 20 and k?
220
What is the smallest common multiple of 48 and ((-8)/((-168)/(-35)))/((-1)/36)?
240
Calculate the smallest common multiple of (2/5)/((-2)/(-30)) and 2.
6
Find the common denominator of 27/5 and 8/(-32)*1*(-300)/(-14).
70
Let n = 780 - 9371/12. Find the common denominator of n and 70/80*(3 + -4).
24
Let z be -1 - (-2 + 0) - (-8561)/(-6). Let u = 1420 + z. Find the common denominator of u and 40/9.
18
Suppose 7*x = 5*x + 8. Let u be (0 - -3)*x/(-3). Calculate the smallest common multiple of 22*(-1)/u*2 and 9.
99
Calculate the common denominator of 10/((-640)/84)*1/18 and -33/2.
96
Calculate the common denominator of -1 + 30/4 + 0 and 84/196 + 285/(-175).
10
Let q = -52621/206790 + 346/565. What is the common denominator of 113/10 and q?
1830
Let f(u) = -u**3 + 22*u**2 + 3*u + 14. Calculate the lowest common multiple of f(22) and 40.
80
Suppose 4*m - 206 = 3*q + 284, -4*q = 3*m + 645. What is the smallest common multiple of 9 and (-3)/5 - q/45?
9
Let v = -194 + 204. Suppose -86 = -3*u - 20. What is the least common multiple of v and u?
110
Let t = 508 - 504. Let o(v) be the second derivative of -v**5/20 + v**4/3 + 2*v**3/3 - v**2 + v. What is the lowest common multiple of 22 and o(t)?
154
Let k = 3 - 2. Let y(v) be the second derivative of 19*v**4/12 - v**3/6 + 2*v - 58. What is the lowest common multiple of 16 and y(k)?
144
Let v = -8 - -21. Let o = 26 - v. What is the smallest common multiple of 4 and o?
52
Let u = 2229 - 17757/8. What is the common denominator of 2 + 15/36*34 and u?
24
Let o = 201 - 161. What is the smallest common multiple of 35 and o?
280
Suppose 7*m - 6*m = 1. What is the common denominator of 3/m - (-25)/8 and -145/6?
24
Let r = 9327 - 15333587/1644. Let w = r + -35623/4932. What is the common denominator of 131/18 and w?
18
Let a(d) = -5*d + 94. Calculate the lowest common multiple of 12 and a(10).
132
Let w = 15 - -17. What is the common denominator of 121/20 and (-52)/w + 2/(-6)?
120
Find the common denominator of (1*-2 + -29)*(-49)/(-686) and 101/8.
56
Calculate the common denominator of 6 + (200820/(-30240) - (-4)/9) and -113/140.
280
Let o be 45/10 - 9/6. Suppose 0*w - 6 = -w + 2*p, 17 = 5*w + o*p. Suppose 2*c + w = 48. What is the lowest common multiple of c and 10?
110
Let s = 205 + -63. What is the least common multiple of s and 2?
142
Suppose -3*j - p = 20957, -2*p = -4*j - 0*p - 27926. Let c = -97697/14 - j. What is the common denominator of -95/18 and c?
126
Let h be ((-79)/(-2))/((-93)/(-18)). Let n = h + -1715/496. What is the common denominator of n and -2*(-10 + 3 - 5405/(-276))?
48
Let o(d) = 2*d**2 - 2*d + 2. Suppose 3*l = 2*a + 15, 5*a - 22 + 112 = -3*l. Let z = -13 - a. Calculate the lowest common multiple of o(z) and 10.
30
Let y(q) = -q**2 - 8*q - 2. Let n(k) = k. Let o(l) = 4*n(l) - y(l). What is the lowest common multiple of 3 and o(-12)?
6
Let n(o) = 9*o - 27. Let z be n(4). Let l be (-1 - -2)/((-3)/(-12)). Suppose 7 + z = l*c. What is the least common multiple of c and 4?
4
Suppose 0 - 550 = -5*q. Calculate the least common multiple of q and 80.
880
Let q(m) = -m - 7*m**2 - 8 + m**2 + 1 - m**3. What is the common denominator of (-20)/(-3)*(-24)/12 and q(-6)?
3
Suppose 0 = u + u + 28. Let t = 1581/10 - 157. Find the common denominator of t and -1 + ((-291)/u)/(-3).
70
Let m(j) = -j**3 + 9*j**2 - 9*j + 11. Let k be m(8). What is the smallest common multiple of (35 - (k - (5 - 1))) + 0 and 21?
252
Let c = -419/945 - -2/135. Suppose 4*r - 3*r = 10. Calculate the common denominator of c and (-5)/r + 56/(-5).
70
Let h = -871377/76 + 11466. Calculate the | {
"pile_set_name": "DM Mathematics"
} |
nearest to 0? (a) v (b) -2 (c) j
a
Let d = 38 - 43.9. Let r = d + 6. Let x = -16/5 - -17/10. What is the nearest to r in x, 0.4, 0.2?
0.2
Let l = 190 - 194. Let r be 4/(-3) + 2 - 1. What is the nearest to r in 4, -3, l?
-3
Suppose -5*h + 20 = -5*v, -7*v + 8*v - 4*h + 10 = 0. What is the nearest to 0.1 in -10, v, 0.2?
0.2
Let i = 0.4 - -7.6. Let l = i - 7.7. What is the closest to -2/7 in l, 1/2, -2?
l
Let y(h) = -5*h + 86. Let o be y(17). Let j = -373/8 + 47. What is the nearest to o in 1/6, j, 0.4?
0.4
Let l be ((-12 - -6) + 8)/(1 + -20). What is the nearest to 0.3 in l, -4, -3?
l
Let h = 0 + 0.3. Let s = 158 - 158. Which is the closest to s? (a) -1/3 (b) -3 (c) h
c
Let x = -16.9 + 17. Which is the closest to x? (a) -6 (b) -0.5 (c) 5
b
Let d = 0.7 - 0.6. Let j = d + -1.1. Which is the nearest to j? (a) 3/2 (b) -4/5 (c) 2
b
Let i = -6 - -5.9. Let u = -0.7 + 0.3. Suppose 5*v - 13 = w, 0 = 5*v + 5*w - 2*w - 1. Which is the nearest to i? (a) v (b) u (c) -1
b
Let x = -20 - -34. Let z = 14.4 - x. Let j be 4/6 - 2/2. Which is the nearest to 0.1? (a) z (b) 1 (c) j
a
Let k be (3/22)/(6/(-8)). Let y = 0.47 - -1.53. Which is the nearest to y? (a) -2/3 (b) k (c) -0.5
b
Suppose -4*i + i = 9, v = 3*i + 124. Let f = 807/7 - v. Let w = 8 + -12. Which is the closest to 2/5? (a) -5 (b) f (c) w
b
Let m be ((-288)/44)/(-3) + -2. Let v be (3/6)/((-2)/(-4)). Which is the nearest to v? (a) 5/2 (b) m (c) 3/7
c
Let n be ((-6)/20)/(6/(-5)). Let l be 4/(-6) - (-19)/(-57). Which is the closest to l? (a) n (b) -0.5 (c) 1
b
Let g = 5.3 + -5. Let d be 3*(-3)/18*2. What is the closest to d in g, -0.4, -4?
-0.4
Let u = 0.24 + -0.24. What is the nearest to u in 4, -2, 0.4?
0.4
Let d = -271/5 - -55. Let i(t) = -t + 5. Let r be i(9). Let x be (-21)/(-27) + r/(-18). What is the nearest to -2 in x, d, -4?
-4
Let x = -16.9 - -17. What is the nearest to x in 12, 2/5, -5?
2/5
Suppose 4*n - 4 = -2*x, 3*n - 12 = 2*x + x. What is the nearest to x in 0.4, -2/5, 3?
-2/5
Suppose -2*z + 3*z - 2 = 0. Let i be 0*(-2)/(-10) + 3. Which is the closest to z? (a) -1/6 (b) i (c) -5
b
Let g = 0.02 + -0.52. Let h = -0.13 + 0.03. What is the nearest to h in 1/4, g, 1?
1/4
Let r = -240 - -240. Let n = 2.8 + -3. Which is the closest to -1? (a) r (b) n (c) 4
b
Let p = 0.1 - 0. Let x = p + 0.4. Which is the nearest to 0? (a) 0.3 (b) 2 (c) x
a
Let s be 81/60 - ((-15)/12 - -2). What is the closest to -1 in -1/3, -3, s?
-1/3
Let v = 5.2 - 1.2. Which is the closest to -1? (a) 5 (b) 0.2 (c) v
b
Let y = -26 + 25. Suppose -3*a - 2 = -5. What is the nearest to 1 in y, a, -3?
a
Let n = -10.4 + 11.4. Let j be (-27)/2*(-68)/(-6). Let z = -762/5 - j. Which is the nearest to n? (a) z (b) 3 (c) 1
c
Let r = -44 - -41. Which is the closest to 3? (a) 1/2 (b) r (c) 1/4
a
Let r = 4.08 - 0.08. Let w(s) = -s**2 + 13. Let d be w(-4). What is the closest to -1 in r, d, 1/6?
1/6
Let u = 0.05 - -4.95. Let g be ((-14)/6)/(-1) + -2. Which is the closest to g? (a) u (b) 2/7 (c) -2
b
Let i(v) = v**3 - 3*v + 1. Let t be i(2). Let o be ((-9)/6 - -3)/t. Suppose -5*u = -0*u - 20. Which is the closest to 0.1? (a) u (b) o (c) -2
b
Let i be (-3)/(-18) - (-73)/30. Let c = -3 + i. What is the closest to -0.1 in -1/8, c, -2/17?
-2/17
Let t = 0 + 0. Let f(l) = -3*l + 1. Let r be f(1). Let m = -5 - r. Which is the closest to t? (a) -4 (b) m (c) 2/17
c
Let l = -1.02 - -0.02. Which is the nearest to -4? (a) l (b) -0.3 (c) 5
a
Let i(t) = -t - 11. Let p be i(-5). Let x(z) = z + 7. Let m be x(p). What is the nearest to -1/2 in m, 2/3, -0.2?
-0.2
Let f = 0.9 - 1. Let x = 0.01 - 0.51. Let m = -0.7 - x. What is the nearest to -0.1 in f, 2/5, m?
f
Let g = -130 - -652/5. Let w = -2 - 1. Let t = 4 - 6. Which is the nearest to t? (a) w (b) 4/7 (c) g
a
Let a = 104 + -34. Let t be 36/a + (-8)/(-28). What is the nearest to -1/3 in 0, -0.5, t?
-0.5
Let m = 5.3 - 5. Suppose u + 0*u - 5*x - 11 = 0, 0 = 4*u + 4*x + 28. Let t = -0.6 - -2.6. What is the nearest to 0 in u, t, m?
m
Let s be 6/(-7)*(-13)/(-39). What is the nearest to -0.1 in 1/3, -1, s?
s
Suppose 5*s + 7 = 32. Suppose 32 = -s*g - 2*f - f, 5*g + 4 = 4*f. Which is the nearest to 0? (a) g (b) -2 (c) -3
b
Let i = -0.1 - -0.4. What is the closest to 2 in i, -1/6, 5?
i
Let s = -913/1110 + -2/185. Let u = 1.2 - 1. Which is the closest to -1? (a) u (b) 5 (c) s
c
Let x = 3/19 - 2/133. Let h = 1 + -1. Let g = -3 + 3.5. Which is the nearest to 1? (a) h (b) x (c) g
c
Suppose 0 = -4*z + 33 - 77. What is the nearest to 2/7 in 2/5, 1/5, z?
1/5
Let z = -10 + 10. Let t = 174804253/38969 - 85237/19. Let v = t - -1/293. What is the closest to z in v, -2/11, -1?
-2/11
Let l(y) = y**3 - 6*y**2 + 6*y - 11. Let w be l(5). What is the nearest to 2 in 2, 2/5, w?
2
Let r be 18/(-24) - 1*2. Let c = 21/4 + r. Let g = -1.2 + 0.2. What is the closest to g in 0.5, c, 0.4?
0.4
Let w = -3/253 + -11885/506. Let m = w - -24. Let t be 3 + ((-2)/(-1))/(-2). What is the nearest to -0.1 in m, 0.1, t?
0.1
Let o = 0 + 0.1. Let r be (2/36)/((-4)/8). Let u = -7/9 - r. Which is the nearest to 0.1? (a) u (b) o (c) -4/7
b
Suppose -a = a - 3*z - 3, 5*z - 17 = -4*a. Let d be 1758/20*(-6)/(-9). Let q = d - 59. What is the closest to q in -3, a, -0.4?
-0.4
Let s(r) = -r**3 + 7*r**2 + 8*r + 3. Let u be s(8). Let d = -0.3 + 0.2. What is the nearest to -2/3 in -0.5, d, u?
-0.5
Let w = -20/23 - -214/299. Which is the nearest to 0.1? (a) 4/3 (b) w (c) -4
b
Let v = -14.9 + 16. Let t = 6.1 - v. What is the closest to 1/4 in 0.3, -0.1, t?
0.3
Let w be (1 - 1) + 3/(-5). Let z be ((-32)/20)/((-2)/5). Suppose 4*o + 3 = -3*c, -z*o = c + 2 - 9. What is the closest to -2/7 in -3/8, c, w?
-3/8
Let j = -0.09 + -0.41. What is the nearest to 1 in j, 1/4, -2/9?
1/4
Let k be (-470)/(-1269)*(1 + 4/(-10)). Which is the closest to 3? (a) k (b) -0.1 (c) -2/5
a
Let f = -82/3 - -27. Which is the closest to -0.3? (a) 0.5 (b) f (c) -1
b
Let g = 0.3 - 0.1. Let j = -5.06 + 0.06. Suppose -2*x = -o - 0 - 1, 33 = -4*x - 5*o. Which is the nearest to g? (a) j (b) -3 (c) x
c
Let z = -7 - -11. Let s = -3 - 1. Let x = s + z. Which is the closest to 2? (a) 3/2 (b) x (c) -1
a
Let k = -1.8 + 1.1. Let z = k + -3.3. Let a = z - -3.9. What is the closest to a in -2, 1/3, 2/11?
2/11
Let z = 0.9 + -0.3. Let l = z + 0.3. Which is the closest to -2/3? (a) -1 (b) l (c) 0.1
a
Let q = -2 + 2. Let y = 0.1 + q. Let d = 8.5 + -9. Which is the nearest to y? (a) d (b) 0.1 (c) 0.5
b
Suppose 4 = -4*v + 2*w, 16 = -3*w + 7*w. Let x be 2/4 - 11/2. Which is the nearest to v? (a) 0 (b) x (c) 0.1
c
Let b = 10 - 9. Let u = -0.3 + 3.3. Let k = u - 2.9. What is the closest to b in 2, k, 0.3?
0.3
Let i = 115 - 113.98. Let k = i - 0.02. Let x = -2 - k. What is the nearest to -0.1 in -0.3, x, 5?
-0.3
Let s = -4 + 5. Let a be 20/(-8)*(-2 + 0). What is the nearest to -1 in -0.2, s, a?
-0.2
Let a = 87.7 + -88. What is the nearest to 0 in a, 1, 4?
a
Let d = 6.9 + -6.8. What is the nearest to -0.6 in -0.3, -2, d?
-0.3
Let j = 0.995 - -0.045. Let u = j + -0.04. Let c = 0.3 - 0.2. What is the nearest to u in 4/5, 0.5, c?
4/5
Let f = 11 - 11.4. What is the nearest to -0.1 in -2/11, f, 1?
-2/11
Let z be ((-1)/(-2))/(21/(-12)). Let o = 775/7543 - -1/397. What is the nearest to z in 0.2, o, 2?
o
Let w = -1523/9 + 169. Let n = -1 + 1. Which is the nearest to 3? (a) -5 (b) w (c) n
c
Let x = -0.02 + 0.12. What is the closest to x in 6, 0, -2?
0
Let c = -4 - -32. Let a = -55/2 + c. What is the closest to a in -0.3, 2, 3/5?
3/5
Let j = -180/7 - -26. Let n(x) = x**3 + 4*x**2 - 2. Let z be n(-4). What is the nearest to 1/5 in j, 5, z?
j
Let o = 1 - 1. Suppose 5*r = -3*k + 2*r + 15, -4*k - 1 = -3*r. Let z be 1*1/(-3)*-3. Which is the nearest to k? (a) o (b) 1/4 (c) z
c
Let i = -0.854 - 0.146. Let w = 0.2 - -0.8. Which is the nearest to -1/4? (a) -0.5 (b) i (c) w
a
Let c = -2 - -1. Let t = c + 0. Let g = -1 - -2. What is the nearest to t in -2, 0.3, g?
-2
Let w be 6/(-24) + (-11)/4. Let k = -3 - -2.9. Which is the closest to k? (a) w (b) 5 (c) 1
c
Let n = -7.91 - 0.09. Let a = 5 - 1. Let h = n + a. What is the closest to -1/3 in h, 5, 0?
0
Suppose 0 = -m + 3*m + 4. Let w be 0 + 2*m/14. Let n = -26 + 24. What is the nearest t | {
"pile_set_name": "DM Mathematics"
} |
, -191, -421, -743?
-1157
What is next in -480, -478, -462, -426, -364?
-270
What is next in 6, 1, -4, -9, -14?
-19
What is the next term in -5, -24, -53, -92, -141, -200?
-269
What is the next term in 176, 346, 514, 680, 844, 1006?
1166
What is the next term in 3, 2, -5, -18, -37?
-62
What comes next: -123, -245, -367, -489, -611, -733?
-855
What is the next term in -32, -66, -100, -134, -168?
-202
What comes next: 21, 11, 1, -9, -19, -29?
-39
What comes next: 51, 224, 397?
570
What is next in -11, 3, 41, 115, 237, 419, 673?
1011
What is next in 166, 321, 478, 637?
798
What comes next: -125, -127, -129, -131, -133, -135?
-137
What is the next term in 73, 78, 83, 88, 93, 98?
103
What is next in -58, -62, -76, -106, -158?
-238
What is next in -1066, -1065, -1064, -1063?
-1062
What comes next: -605, -2398, -5379, -9542, -14881, -21390?
-29063
What is the next term in 75, 147, 215, 279, 339?
395
What is next in -331, -334, -337?
-340
What is the next term in 20, 111, 366, 869, 1704, 2955?
4706
What is the next term in -1861, -7444, -16749, -29776, -46525, -66996, -91189?
-119104
What is next in -4, 36, 104, 200, 324?
476
What comes next: 145, 552, 1229, 2176, 3393, 4880, 6637?
8664
What is next in 3236, 6469, 9700, 12929, 16156?
19381
What comes next: 1964, 1965, 1958, 1937, 1896, 1829, 1730?
1593
What comes next: 382, 675, 966, 1255, 1542?
1827
What is next in -55, -79, -125, -199, -307?
-455
What is next in 35, 123, 271, 479, 747, 1075?
1463
What is the next term in -49, -150, -437, -1006, -1953, -3374, -5365, -8022?
-11441
What is next in -51, -123, -221, -345, -495, -671, -873?
-1101
What is the next term in 142, 208, 260, 292, 298, 272, 208, 100?
-58
What comes next: -60, -260, -590, -1044, -1616, -2300, -3090?
-3980
What comes next: 33, 58, 99, 156, 229?
318
What is next in 12, 41, 86, 153, 248, 377, 546, 761?
1028
What is next in -3029, -3031, -3033, -3035, -3037?
-3039
What is next in 20, 2, -36, -106, -220, -390, -628, -946?
-1356
What comes next: -7, 3, 29, 71, 129?
203
What is the next term in 92, 90, 86, 80, 72, 62?
50
What is the next term in 94, 146, 210, 292, 398, 534?
706
What is the next term in 273, 512, 751?
990
What comes next: 3, -2, -11, -24, -41, -62, -87?
-116
What comes next: 210, 241, 272, 303, 334, 365?
396
What comes next: -16, -43, -80, -133, -208, -311?
-448
What is next in 8482, 8477, 8462, 8431, 8378, 8297, 8182?
8027
What is next in 0, 0, 8, 30, 72, 140, 240?
378
What is next in 105, 109, 117, 129, 145?
165
What is the next term in 10, 22, 48, 94, 166, 270, 412, 598?
834
What is the next term in -10, -21, -18, 5, 54, 135?
254
What comes next: 11, 28, 57, 98, 151, 216?
293
What is the next term in -77, -188, -335, -518, -737?
-992
What is next in -144, -133, -114, -87, -52, -9, 42?
101
What is next in -45, -103, -161, -219?
-277
What is next in -102, -247, -390, -531, -670?
-807
What is next in 878, 865, 852, 839, 826?
813
What is next in 1348, 2694, 4040, 5386, 6732?
8078
What is the next term in -302, -338, -384, -446, -530, -642?
-788
What is the next term in -145, -282, -417, -550, -681?
-810
What comes next: -58, -168, -396, -802, -1446, -2388, -3688, -5406?
-7602
What comes next: 192, 374, 556, 738, 920?
1102
What is the next term in 43, 41, 37, 31, 23, 13, 1?
-13
What comes next: 193, 417, 655, 913, 1197, 1513, 1867, 2265?
2713
What is next in -55, -94, -131, -166, -199?
-230
What is next in 298, 299, 300?
301
What is the next term in -2716, -2715, -2714, -2713, -2712?
-2711
What comes next: -53, -98, -135, -164, -185, -198?
-203
What comes next: 218, 885, 1996, 3551, 5550, 7993, 10880?
14211
What is the next term in 5403, 5399, 5393, 5385, 5375, 5363, 5349?
5333
What comes next: 1604, 1609, 1616, 1625, 1636?
1649
What is next in -68, -199, -412, -701, -1060, -1483?
-1964
What comes next: -253, -1016, -2291, -4078, -6377, -9188?
-12511
What is next in -59, -50, -19, 46, 157, 326, 565?
886
What comes next: -58, -65, -82, -115, -170, -253, -370, -527?
-730
What is next in -67, -124, -195, -286, -403, -552, -739?
-970
What comes next: -2545, -5088, -7631?
-10174
What is next in -14, -4, 6?
16
What comes next: -182, -354, -526, -698?
-870
What is the next term in -11, -16, -25, -38?
-55
What is next in -141, -119, -111, -123, -161, -231?
-339
What is next in 10, 7, 6, 7, 10?
15
What is the next term in 16, 12, 8?
4
What is next in 11, 33, 69, 119, 183?
261
What is next in 195, 200, 201, 198, 191, 180?
165
What is next in -7, -15, -9, 17, 69, 153?
275
What comes next: 16, -4, -58, -164, -340, -604, -974, -1468?
-2104
What is next in 37, 49, 67, 91, 121?
157
What is next in -33, -46, -63, -84, -109, -138, -171?
-208
What comes next: 27, 30, 33?
36
What is the next term in 160, 307, 454, 601, 748?
895
What is next in 90, 138, 186, 234, 282, 330?
378
What is next in -53, -83, -99, -95, -65, -3, 97?
241
What is next in 8, 15, 28, 47, 72?
103
What is next in -231, -938, -2109, -3738, -5819, -8346, -11313, -14714?
-18543
What comes next: -175, -351, -537, -739, -963, -1215?
-1501
What is the next term in -237, -241, -245?
-249
What is the next term in -26, -50, -74?
-98
What is next in 23, 22, 13, -10, -53, -122, -223?
-362
What comes next: -13, -30, -25, 14, 99?
242
What comes next: -54, -61, -72, -87, -106, -129?
-156
What comes next: 83, 64, 11, -94, -269, -532?
-901
What is next in -2737, -2734, -2729, -2722, -2713, -2702?
-2689
What comes next: 235, 436, 637, 838, 1039?
1240
What is next in 2362, 4727, 7092, 9457?
11822
What is next in 840, 843, 846, 849, 852?
855
What is next in 232, 240, 254, 274, 300?
332
What is the next term in -176, -178, -178, -176, -172, -166, -158?
-148
What is the next term in 43, 60, 77?
94
What is next in -11, -2, 15, 40, 73, 114?
163
What is the next term in 303, 313, 323, 333, 343?
353
What comes next: 0, 6, 18, 36, 60, 90, 126?
168
What comes next: 762, 760, 758, 756?
754
What comes next: 203, 204, 199, 182, 147, 88?
-1
What is next in -319, -2593, -8769, -20797, -40627, -70209, -111493?
-166429
What is next in 156, 152, 144, 132, 116?
96
What is the next term in 240, 481, 720, 957, 1192?
1425
What is the next term in -17, -26, -37, -50, -65?
-82
What is the next term in -3654, -7309, -10964, -14619, -18274, -21929?
-25584
What is the next term in -10, -51, -122, -223, -354?
-515
What is the next term in 864, 895, 926, 957, 988?
1019
What is next in -70, -153, -250, -361?
-486
What comes next: -9, -59, -149, -285, -473, -719, -1029?
-1409
What comes next: 15, 33, 67, 123, 207, 325, 483?
687
What is the next term in 90, 91, 92, 93?
94
What is the next term in 7, 44, 151, 364, 719?
1252
What is the next term in -278, -532, -786, -1040, -1294?
-1548
What is next in -105, -229, -363, -513, -685, -885?
-1119
What is the next term in 31, 19, -15, -83, -197, -369, -611, -935?
-1353
What is the next term in 222, 226, 232, 240, 250, 262?
276
What comes next: 1, -43, -169, -419, -835, -1459, -2333, -3499?
-4999
What is next in 8, 3, -8, -25, -48?
-77
What is next in -213, -210, -187, -132, -33, 122?
345
What is the next term in -136, -579, -1328, -2383, -3744, -5411?
-7384
What is next in -49, -108, -175, -256, -357, -484, -643?
-840
What is next in 10, 11, 2, -23, -70?
-145
What is next in 1460, 1461, 1462, 1463?
1464
What is the next term in 303, 591, 881, 1173, 1467, 1763?
2061
What comes next: 4, -2, -10, -20, -32, -46?
-62
What is the next term in -89, -178, -265, -350, -433, -514, -593?
-670
What is next in -19, -51, -107, -199, -339, -539?
-811
What comes next: 534, 500, 480, 480, 506, 564, 660, 800?
990
What comes next: 52, 45, 34, 19, 0, -23?
-50
What comes next: 532, 527, 512, 481, 428?
347
What is the next term in 45, 59, 61, 45, 5, -65, -171, -319?
-515
What is next in -25, -19, -11, -1?
11
What is the next term in 129, 237, 333, 411, 465, 489?
477
What is the next term in -219, -220, -223, -228, -235?
-244
What is the next term in 181, 179, 173, 163, 149?
131
What is the next term in -1049, -2101, -3155, -4211?
-5269
What is the next term in 1408, 1416, 1426, 1438, 1452?
1468
What comes next: -65, -82, -103, -128, -157, -190, -227?
-268
What is the next term in 78, 81, 86, 93, 102, 113?
126
What is the next term in 5, 2, -23, -82, -187?
-350
What comes next: -25, -58, -103, | {
"pile_set_name": "DM Mathematics"
} |
t replacement from yyyueyyyyydy. Give prob of picking 1 d, 1 e, and 1 y.
9/220
Calculate prob of picking 1 y and 3 k when four letters picked without replacement from yllikykkknklliyhkii.
5/323
Calculate prob of picking 1 i and 1 t when two letters picked without replacement from giiitggigggiiggtg.
3/34
Two letters picked without replacement from {l: 2, s: 2, m: 5}. What is prob of picking 2 m?
5/18
What is prob of picking 1 d and 1 c when two letters picked without replacement from cddcmm?
4/15
Calculate prob of picking 4 l when four letters picked without replacement from {l: 10}.
1
What is prob of picking 1 m and 1 d when two letters picked without replacement from {l: 6, m: 1, a: 8, d: 1, x: 4}?
1/190
Three letters picked without replacement from {j: 5, z: 7}. Give prob of picking 3 z.
7/44
Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {i: 1, w: 2, o: 2, t: 6, k: 1}.
1/66
Calculate prob of picking 3 y when three letters picked without replacement from {y: 4, s: 3, r: 6}.
2/143
Calculate prob of picking 1 p and 1 l when two letters picked without replacement from mmmudpl.
1/21
Calculate prob of picking 1 l and 1 f when two letters picked without replacement from eleelfelletylleel.
7/136
Two letters picked without replacement from {q: 1, l: 1, w: 2, v: 2, r: 2}. What is prob of picking 2 v?
1/28
Calculate prob of picking 1 a and 1 y when two letters picked without replacement from {a: 3, q: 1, y: 4, e: 1, i: 2}.
12/55
Calculate prob of picking 1 n and 3 y when four letters picked without replacement from {n: 1, b: 3, v: 1, a: 3, c: 2, y: 3}.
1/715
Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {c: 1, r: 1, f: 1}.
1/3
What is prob of picking 1 f, 1 t, and 1 u when three letters picked without replacement from {u: 1, f: 1, p: 2, t: 1}?
1/10
Two letters picked without replacement from {z: 2, g: 1, f: 1, t: 1, b: 2, q: 2}. Give prob of picking 1 b and 1 q.
1/9
Calculate prob of picking 3 h and 1 r when four letters picked without replacement from grhrrrrrhghrhhrg.
4/91
Three letters picked without replacement from {z: 3, c: 9}. What is prob of picking 3 c?
21/55
Three letters picked without replacement from uwyew. What is prob of picking 1 y, 1 w, and 1 e?
1/5
Calculate prob of picking 2 q and 1 o when three letters picked without replacement from ooaqqqqqaqaaqoqq.
27/140
Two letters picked without replacement from {c: 2, r: 6, m: 2, n: 4, p: 1, g: 2}. What is prob of picking 1 g and 1 n?
1/17
Two letters picked without replacement from yiiqyqqqiyyyooq. What is prob of picking 1 y and 1 i?
1/7
What is prob of picking 1 h and 1 b when two letters picked without replacement from {w: 2, m: 4, b: 1, h: 3}?
1/15
Calculate prob of picking 1 i and 2 c when three letters picked without replacement from iccccccc.
3/8
Calculate prob of picking 1 e, 1 w, and 1 f when three letters picked without replacement from {s: 1, f: 1, e: 5, w: 5}.
5/44
Calculate prob of picking 2 q when two letters picked without replacement from jooqomjmjojojjjomqj.
1/171
Three letters picked without replacement from wymkwwwmwwymmjymm. Give prob of picking 2 k and 1 w.
0
What is prob of picking 1 q and 2 e when three letters picked without replacement from {e: 14, q: 4}?
91/204
What is prob of picking 1 a, 1 y, and 1 h when three letters picked without replacement from {y: 5, r: 1, a: 2, h: 1}?
5/42
What is prob of picking 4 m when four letters picked without replacement from pmmpmmpppmmp?
1/33
What is prob of picking 2 w and 2 d when four letters picked without replacement from dwwwddw?
18/35
Two letters picked without replacement from zmczsszkkkkv. Give prob of picking 1 m and 1 z.
1/22
Calculate prob of picking 1 b and 1 d when two letters picked without replacement from dddddddddbdydd.
12/91
Three letters picked without replacement from oznnnccccczchcececc. What is prob of picking 2 z and 1 n?
1/323
Calculate prob of picking 1 j, 1 i, 1 p, and 1 l when four letters picked without replacement from yjilijpy.
2/35
Two letters picked without replacement from {b: 2, m: 1, e: 3, h: 2, l: 9, v: 1}. Give prob of picking 1 m and 1 b.
2/153
Calculate prob of picking 1 n, 1 o, and 1 i when three letters picked without replacement from onbipnv.
2/35
Two letters picked without replacement from bbbbkkakrbark. What is prob of picking 1 k and 1 a?
4/39
Calculate prob of picking 1 s and 3 m when four letters picked without replacement from wfmsw.
0
Four letters picked without replacement from ttttgttauuhtygy. Give prob of picking 1 a, 1 u, and 2 g.
2/1365
Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {e: 4, g: 1, m: 2, x: 2}.
2/9
Calculate prob of picking 1 m and 2 a when three letters picked without replacement from amhafpaamp.
1/10
Two letters picked without replacement from {p: 1, n: 1, t: 1, r: 1, q: 1}. Give prob of picking 1 t and 1 r.
1/10
Calculate prob of picking 2 t and 1 o when three letters picked without replacement from {o: 6, t: 2, j: 4, q: 6}.
1/136
What is prob of picking 1 e and 1 u when two letters picked without replacement from eneunefueffunf?
12/91
Three letters picked without replacement from {p: 1, w: 5, h: 1, f: 6, t: 2}. What is prob of picking 2 t and 1 w?
1/91
Two letters picked without replacement from ggzz. What is prob of picking 2 z?
1/6
Three letters picked without replacement from {t: 2, b: 2, e: 2, p: 4, y: 2, c: 2}. What is prob of picking 1 b and 2 p?
3/91
What is prob of picking 1 c, 1 v, and 1 d when three letters picked without replacement from {z: 5, c: 4, t: 1, v: 4, d: 6}?
8/95
Calculate prob of picking 1 m and 1 t when two letters picked without replacement from fuumzfumtvmu.
1/22
Three letters picked without replacement from oboppzozyp. Give prob of picking 2 z and 1 p.
1/40
What is prob of picking 1 b and 2 l when three letters picked without replacement from bbllllllblbb?
21/44
Calculate prob of picking 1 t and 1 w when two letters picked without replacement from lkikkltwill.
1/55
Calculate prob of picking 2 t and 2 b when four letters picked without replacement from ttttttbtbtttt.
1/13
Four letters picked without replacement from {b: 1, n: 3, t: 1, c: 4, v: 2, r: 4}. What is prob of picking 1 v and 3 c?
8/1365
Two letters picked without replacement from {c: 3, i: 1}. Give prob of picking 1 i and 1 c.
1/2
Four letters picked without replacement from {j: 3, h: 4, b: 2}. What is prob of picking 2 h, 1 b, and 1 j?
2/7
Two letters picked without replacement from {r: 11, s: 1, d: 7}. Give prob of picking 1 s and 1 d.
7/171
Two letters picked without replacement from jjjjjljjjjjjjjljjjj. Give prob of picking 2 l.
1/171
Three letters picked without replacement from {q: 3, b: 1, j: 1, g: 4, t: 2, w: 1}. What is prob of picking 1 q, 1 w, and 1 t?
3/110
Calculate prob of picking 1 r and 2 o when three letters picked without replacement from oiroooioiiiiiiiiriii.
1/57
What is prob of picking 3 z when three letters picked without replacement from zvzvvvzvvzvvvz?
5/182
Two letters picked without replacement from vaaavavavvaav. What is prob of picking 2 v?
5/26
Four letters picked without replacement from gzuaapc. What is prob of picking 1 c, 1 a, 1 u, and 1 z?
2/35
Two letters picked without replacement from aaaananaaanaaaaaana. What is prob of picking 2 n?
2/57
Calculate prob of picking 4 o when four letters picked without replacement from {o: 5}.
1
Four letters picked without replacement from dddyydyddyyd. Give prob of picking 3 d and 1 y.
35/99
What is prob of picking 2 y, 1 j, and 1 q when four letters picked without replacement from {q: 4, y: 2, j: 2}?
4/35
Four letters picked without replacement from iiivivrrx. Give prob of picking 2 i and 2 r.
1/21
Three letters picked without replacement from vjcvcdvvvjv. Give prob of picking 2 c and 1 d.
1/165
Three letters picked without replacement from kkccscjcccykkycc. What is prob of picking 1 y, 1 k, and 1 j?
1/70
Four letters picked without replacement from lpxpqoq. What is prob of picking 2 p, 1 x, and 1 l?
1/35
Calculate prob of picking 1 n, 1 b, and 1 e when three letters picked without replacement from wnwewbnewebnenenwnm.
20/323
Two letters picked without replacement from {p: 2, u: | {
"pile_set_name": "DM Mathematics"
} |
se 73*r - 70*r = j. What is the tens digit of r?
3
Let d be (-7)/((-84)/(-488))*(-45 + 0). Suppose 0 = -7*n + 2*n + d. What is the units digit of n?
6
Suppose -q - 2*y + 1966 = 0, -q + 0*y + 1969 = y. Let u(z) = -z**2 + 4*z - 1. Let p be u(3). What is the tens digit of p*6/(-20) - q/(-20)?
9
Suppose 31 + 39 = c. Let w = c - -144. Let z = w - 124. What is the tens digit of z?
9
Let h(n) = 209*n - 5. Let x be 579/(-15) + 3 + (-8)/20. Let d be -4*(-3)/x + (-4)/(-3). What is the units digit of h(d)?
4
What is the hundreds digit of (-11)/1 + 25 - -866?
8
What is the hundreds digit of 1845200/150 + (-22)/(-2) + 2/(-6)?
3
Suppose -2*d + 2*g = 72, 4*d + 15 = -4*g - 97. Let k = 316 + d. What is the hundreds digit of k?
2
Let g = 534 - -221. Suppose -9*h + g = -4*h. Let a = h - 82. What is the units digit of a?
9
Suppose 0*c + 5*v + 3 = c, 5*c + 4*v - 15 = 0. Suppose 5*n + 23 = c. What is the tens digit of (4 - 313)*(1 - n/(-3))?
0
What is the ten thousands digit of 0/(-18) + (2 - -15529) + 5?
1
Suppose 8*v - 5474 = 23425 + 29. What is the thousands digit of v?
3
What is the units digit of ((-4091)/2)/((-418)/(-44) - 10)?
1
Let v(f) = f**3 - 16*f**2 - 13*f - 25. Let n(y) = 19*y - 4. Let p be n(3). Suppose -19 = -2*g - 5*i + 10, 3*g - 2*i = p. What is the units digit of v(g)?
3
What is the hundreds digit of (-93701920)/1482*12/(-10)?
8
Let n(w) = -w**3 + 3*w**2 + 4*w + 3. Let i be n(4). Suppose -5*u + 40 = 2*h + 294, 415 = -i*h + u. Let j = -95 - h. What is the units digit of j?
2
Let n be (30/4)/((7 + -6)/6). Let k = 28 - n. Let c(a) = a**2 + 15*a - 10. What is the units digit of c(k)?
4
Let l(i) be the first derivative of i**3/3 - 3*i**2 - 23*i + 93. Suppose -2*h + 33 = h. What is the units digit of l(h)?
2
Let b = 86 - 78. Let f(u) = 24 - 1662*u + 1632*u - b. What is the hundreds digit of f(-4)?
1
What is the units digit of (-12)/24 + 206330/20?
6
Let h(k) = k + 4. Let y be h(-1). Suppose 0 = -4*g - y*z + 405, 0 = -5*g + 4*g + 4*z + 106. Let t = g + -34. What is the tens digit of t?
6
Suppose -3*h = 4*g - g - 15, -4*g = -2*h - 2. What is the units digit of (h - 2)*199 + -1?
8
Let z be (330/(-35))/(((-1)/(-7))/(-1)). Suppose -z + 473 = 11*o. Suppose -6*u + 7*u = o. What is the tens digit of u?
3
Let p(i) = -i**2 - 8*i - 3. Let n be p(-7). Suppose -2*m = -n*y + m + 17, 0 = -4*y - 2*m + 2. Suppose -f = y - 17. What is the tens digit of f?
1
Suppose -23 + 3 = -10*d. Let n(k) = 3*k - k**2 - 18 + 0*k**d + 7 + 2*k**2. What is the tens digit of n(8)?
7
Let d = -309 - -309. Suppose 4*p + 4*w - 1031 - 413 = d, 0 = -2*p + 5*w + 736. What is the tens digit of p?
6
Suppose 255*k - 9033609 = -1567719. What is the ten thousands digit of k?
2
What is the hundreds digit of 30*((-916)/20 - 5)*(-6 + 1)?
6
Suppose a + x + 155119 = 4*a, -a + 5*x = -51697. What is the units digit of a?
7
Let l be (-55)/(-66)*(-8)/(-10)*810. Suppose m - 3*u = -0*u + l, -5*m + 4*u + 2656 = 0. What is the hundreds digit of ((-6)/(-72)*6)/(2/m)?
1
Let t = 21264 - -13602. What is the hundreds digit of t?
8
Let b(m) = -15*m**3 - 19*m**2 + 18*m + 96. What is the tens digit of b(-5)?
0
Suppose 3*p = -2*p - 720. Let s = 56 + -127. Let j = s - p. What is the tens digit of j?
7
Let r(x) = -x**3 + 4*x**2 - 8*x + 16. Let u be r(3). Let o(w) = 226*w**3 - 2*w**2 + 3*w. What is the tens digit of o(u)?
2
Let y = 214 - 64. Let d be 25/y - 22/(-12). Suppose -p = 2*g, d*p - 5*g = 8 + 10. What is the units digit of p?
4
Let g be -7 - -761 - 3 - (3 - 0). Suppose -j + 199 = 5*o, 0 = -7*j + 3*j - 4*o + g. What is the hundreds digit of j?
1
Suppose 3*j - 10 = -o, -18*j + 14*j + 10 = 3*o. Let q(m) = 0*m - 7*m**2 - 2 - 9 + 64*m**2 - 6*m. What is the units digit of q(o)?
9
What is the units digit of ((-1053)/36 - -27)/(2*(-1)/15888)?
4
Let f = 50538 - 31626. What is the thousands digit of f?
8
Let c = 88 + -131. What is the tens digit of (-2 - c)/(-5 - (-392)/77)?
5
Suppose -2*w + 15798 = -4*h, 38*w = 35*w - h + 23662. What is the units digit of w?
9
Suppose -447 = -6*i + 783. Suppose x = 4*x + h + i, 2*h - 73 = x. Let b = x + 231. What is the tens digit of b?
6
Suppose -8*i + 10*i = 4. Let n be ((-80)/3*-3)/(i/4). What is the hundreds digit of (-4 - -1)*(n/(-3) + 3)?
1
Let v(r) = 39*r**2 + 57*r - 693. What is the tens digit of v(16)?
0
Let g be -2 + (696/1)/3. Suppose -v - 30 = -32, 5*d = -5*v + 40. What is the hundreds digit of ((-114)/15 + d)/((-2)/g)?
1
Let r(a) = -a + 16. Let i be r(-6). What is the tens digit of ((-32)/i)/(-8) + (-11282)/(-22)?
1
Suppose -2*f = 4*w - 14, 3*f + f - 12 = 0. Let s be ((-3)/w)/((-5)/30). What is the units digit of (6 + -26)/(0 - 2/s)?
0
Suppose 755714 = 40*w - 78872 - 787214. What is the thousands digit of w?
0
Let a = -193 + 85. Let j = a - -199. What is the tens digit of j?
9
Suppose 0 = -61*o - 70155 + 284047 + 188891. What is the thousands digit of o?
6
Let t = -33145 + 48571. What is the ten thousands digit of t?
1
Let o = 5 + 5. Suppose -3*s - o = 20. Let i(r) = -17*r - 55. What is the hundreds digit of i(s)?
1
Let n(o) = 96*o + 621. What is the units digit of n(34)?
5
Let v(h) = -h**3 - 48*h**2 - 101*h - 129. What is the ten thousands digit of v(-58)?
3
Let l(g) = g**2 + 5*g - 3. Let j(x) = 2*x - 6. Let r be j(4). Let h be l(r). Suppose -5*o + h*o - 396 = 0. What is the units digit of o?
6
Suppose 2*g = 0, g = -4*z - 7*g + 18432. What is the hundreds digit of z?
6
Let m = 101 - 979. Let v = 371 - m. What is the tens digit of v?
4
Suppose 0*b - 55 = -5*b. Let u = b - -35. Let f = u - 43. What is the units digit of f?
3
Suppose 4*r + 10*f - 6*f - 2304 = 0, 5*r - 2884 = -3*f. Let q = 18 + r. What is the hundreds digit of q?
5
Suppose -76*i - 6 = -79*i. Suppose -2*p - 33 = -s - 4*p, -5*s + 2*p + 201 = 0. What is the tens digit of s*(i/7 - 232/(-168))?
6
Let d(b) = -6*b**2 - 150*b + 39. Let j be d(-25). Suppose y - 3*g + 127 = -8*g, -3*g + 159 = -y. Let o = j - y. What is the hundreds digit of o?
1
Let m(a) = 92*a - 38. Let r be m(4). Let o = r - 256. What is the units digit of o?
4
Let t(p) = -24*p - 259. Let n be t(29). Let l = n + 2185. What is the hundreds digit of l?
2
Let k be 4 + (-20)/5 + -1. Let l be (-20)/(-6)*12*k/(-8). Suppose -198 - 167 = -l*c. What is the tens digit of c?
7
Suppose 78599 = -20*j + 317119. What is the units digit of j?
6
Let d be ((-1632)/36 - 8)/(1/3). What is the tens digit of d/((-46)/112 + 8/28)?
8
Suppose 8*m + 11*m = 97059 + 58665. What is the thousands digit of m?
8
Suppose -4*w - 8*n = -13*n - 2799, w - 705 = -4*n. What is the hundreds digit of w?
7
Let p be (2/2)/(2/12*-3). What is the hundreds digit of 0 - 257*p - (2 + -4)?
5
Let l(h) = -14*h. Let z be l(1). Let t = z - 6. What is the tens digit of (-16)/(-2 - 35/t)?
6
Let m = -958 - -1834. Suppose -m*q - 3913 = -883*q. What is the units digit of q?
9
Suppose -2*d = -0*q + 3*q + 32, 4*d = 4*q - 24. Let o be (-3 - 17)*d/4 - 1. What is the units digit of 14/o + 24/14?
2
Let b(u) = -5*u + u + 3 + 2*u + 33. Let m be b(18). Suppose -4*n + 6*n - 98 = m. What is the units digit of n?
9
Suppose -335 = -6*w + 49. Let k = w + -58. Suppose k*g - 5*g - 49 = 0. What is the tens digit of g?
4
What is the units digit of (-256077)/(-7) - 23*90/4830?
2
Let d = 11 - -5. Suppose 0 = -13*v + d*v - 57. Suppose -z + 2*z = -2*a + v, -21 = -z - a. What is the tens digit of z?
2
Suppose -4*w + 168648 = 3*n + n, 4*n - 20 = 0. What is the units digit of w?
7
Let h(v) = -2*v**2 - 39*v + 4. Suppose -2*p + 5*p + 49 = 2*m, 4*m = -p - 35. What is the units digit of h(p)?
3
Suppose -17 = -4*m + 199. Suppose m*z - 41*z - 11791 = 0. What is the hundreds digit of z?
9
What is the ten thousands digit of 54 + (-12307581)/(-584) - (-1)/((-16)/(-6))?
2
Let g(w) = 5*w**2 - 22*w - 8. Let i be g(-7). Let c = 407 + i. What is the tens digit of c?
9
Suppose 16761 = 4*a + s, -5*a - 3*s + 4*s + 20949 = 0. What is the units digit of a?
0
Suppose -2*a + 289 + 9 = i, -884 = -3*i - a. Suppose 5*s + s - i = 0. Let c = 77 - s. What is the tens digit of c?
2
Let l be -3 + 7 + (-2)/(-2)*-5. What is the tens digit of -75*(-2 + l)*1?
2
Suppose -3*m + 4*m = 4*d + 11, 0 = -m + 3*d + 15. Suppose -m*t - 14529 + 43473 = 0. What is the units digit of t?
2
Let j be -24*-3*53/(-9). Let h = 173 - j. What is the tens digit of h?
9
Suppose -w - 3829 = | {
"pile_set_name": "DM Mathematics"
} |
3522, -3594?
-3698
What is the next term in -222, -186, -150, -114?
-78
What comes next: -236, -192, -126, -44, 48, 144, 238?
324
What is next in 3683, 3681, 3679, 3677, 3675?
3673
What is the next term in -440, -442, -444, -446, -448?
-450
What is the next term in -8, -161, -542, -1265, -2444, -4193, -6626, -9857?
-14000
What comes next: -132, -265, -398?
-531
What is next in -23, -26, -29?
-32
What is the next term in -104, -270, -714, -1574, -2988?
-5094
What is the next term in 122, 258, 418, 614, 858, 1162?
1538
What is next in 13, 29, 79, 181, 353, 613?
979
What is next in -461, -913, -1365, -1817, -2269?
-2721
What is the next term in 19, 26, 37, 52, 71?
94
What is next in 23, 8, -15, -52, -109, -192, -307, -460?
-657
What is the next term in -81, -153, -235, -333, -453, -601, -783, -1005?
-1273
What is the next term in 66946, 66947, 66948?
66949
What is the next term in -54, -84, -100, -96, -66, -4, 96?
240
What comes next: 105, 174, 245, 318, 393, 470, 549?
630
What comes next: -58, -111, -162, -211, -258?
-303
What comes next: -9, 7, 47, 117, 223, 371?
567
What is the next term in -14, 2, 30, 70, 122, 186?
262
What is next in 32, 131, 304, 557, 896?
1327
What is the next term in -1, -3, -1, 5?
15
What is the next term in -85, -174, -265, -358, -453, -550, -649?
-750
What is next in -2, 23, 72, 151, 266, 423, 628, 887?
1206
What comes next: -151, -183, -219, -259, -303, -351?
-403
What is next in -1900, -1907, -1926, -1963, -2024?
-2115
What is next in 63, 80, 109, 150, 203, 268?
345
What comes next: -190, -222, -270, -340, -438, -570, -742?
-960
What is next in -28476, -28477, -28478, -28479?
-28480
What comes next: -27, -44, -61, -78?
-95
What is next in -68, -143, -236, -353, -500, -683, -908, -1181?
-1508
What comes next: 10, 24, 60, 130, 246, 420?
664
What comes next: 38591, 38590, 38589, 38588, 38587?
38586
What is next in 24, 28, 42, 66, 100, 144, 198?
262
What is the next term in 121, 209, 297, 385?
473
What comes next: -309, -317, -317, -303, -269, -209?
-117
What is next in 27, 97, 213, 381, 607, 897?
1257
What comes next: -170, -704, -1594, -2840, -4442, -6400?
-8714
What comes next: -44, -131, -280, -521, -884, -1399, -2096, -3005?
-4156
What is the next term in 58, 107, 156, 205, 254, 303?
352
What is the next term in -91, -166, -243, -322?
-403
What is next in -5006, -5007, -5010, -5015?
-5022
What comes next: 40, 42, 12, -62, -192?
-390
What is the next term in -31, 91, 203, 299, 373, 419, 431, 403?
329
What is next in -2526, -5047, -7558, -10053, -12526?
-14971
What is the next term in 59, 242, 545, 968?
1511
What is next in -434, -433, -432, -431, -430, -429?
-428
What comes next: -16, -55, -94, -133?
-172
What is the next term in 380, 760, 1140, 1520, 1900?
2280
What comes next: 9, 15, 21, 27, 33?
39
What comes next: -13, -17, -7, 23, 79, 167, 293?
463
What comes next: 21, 63, 127, 219, 345, 511?
723
What is next in -549, -543, -525, -489, -429, -339, -213?
-45
What is the next term in -2052, -4099, -6144, -8187?
-10228
What is the next term in 909, 907, 905, 903, 901?
899
What comes next: -15, -37, -93, -201, -379?
-645
What is the next term in -59, -61, -63?
-65
What comes next: -26, -12, 6, 22, 30, 24?
-2
What comes next: 25, 25, 23, 19?
13
What is next in -4, 16, 36, 44, 28, -24, -124?
-284
What is the next term in -83, -166, -251, -338, -427?
-518
What is the next term in -976, -1947, -2918?
-3889
What comes next: -90, -142, -194, -246, -298, -350?
-402
What comes next: -110, -206, -302, -398, -494, -590?
-686
What is next in -168, -176, -190, -210, -236, -268, -306?
-350
What is the next term in -82, -90, -102, -118?
-138
What is the next term in 22, 12, -48, -182, -414, -768, -1268, -1938?
-2802
What comes next: 6, -19, -62, -123, -202, -299?
-414
What comes next: 70, 81, 92, 103, 114?
125
What is next in -344, -668, -994, -1322, -1652?
-1984
What comes next: -17, -98, -245, -464, -761?
-1142
What is next in 338, 404, 470, 536, 602, 668?
734
What comes next: -5098, -5109, -5134, -5179, -5250, -5353, -5494?
-5679
What is the next term in -80, -77, -64, -35, 16?
95
What comes next: -26245, -26241, -26235, -26227, -26217?
-26205
What is next in -67, -131, -195, -259, -323?
-387
What comes next: -1083, -1081, -1079, -1077?
-1075
What is next in -119, -105, -81, -47, -3, 51, 115?
189
What is next in 264, 530, 796, 1062?
1328
What is the next term in 128, 259, 386, 509, 628?
743
What comes next: 116, 117, 118?
119
What comes next: 2, -4, -24, -64, -130, -228?
-364
What is next in 71104, 71105, 71106, 71107, 71108?
71109
What comes next: -175, -363, -527, -655, -735, -755?
-703
What is the next term in 6, -2, -36, -108, -230?
-414
What comes next: 713, 717, 723, 731?
741
What is next in 13, 39, 79, 139, 225, 343, 499?
699
What is next in 58, 74, 92, 112, 134?
158
What comes next: -132, -263, -380, -477, -548, -587, -588, -545?
-452
What comes next: 807, 1627, 2457, 3303, 4171?
5067
What is the next term in 83, 79, 75?
71
What comes next: 75, 69, 53, 21, -33, -115?
-231
What is next in -2037, -2032, -2023, -2010, -1993?
-1972
What comes next: 3, 33, 107, 243, 459, 773?
1203
What is the next term in 46, 101, 158, 217, 278?
341
What is the next term in -1271, -1270, -1269, -1268?
-1267
What is next in 20, 44, 68, 92, 116, 140?
164
What is the next term in -675, -1350, -2025, -2700, -3375, -4050?
-4725
What is the next term in -25, -113, -259, -463, -725?
-1045
What is the next term in -4233, -8469, -12705, -16941?
-21177
What is the next term in 53, 186, 417, 752, 1197, 1758, 2441?
3252
What is next in 198, 220, 258, 312, 382, 468?
570
What is the next term in 3, -6, -25, -60, -117, -202?
-321
What is the next term in 309, 297, 261, 189, 69, -111, -363?
-699
What comes next: 4, -24, -76, -146, -228, -316, -404?
-486
What is next in -4063, -4064, -4065?
-4066
What is next in 17773, 35545, 53317?
71089
What comes next: 153, 158, 167, 180, 197?
218
What is the next term in -189, -246, -303, -360, -417?
-474
What is next in 201, 402, 603, 804, 1005?
1206
What is next in -23, -110, -257, -464, -731, -1058?
-1445
What comes next: 30, 51, 70, 87, 102, 115?
126
What is the next term in 1839, 1832, 1811, 1770, 1703, 1604, 1467, 1286?
1055
What comes next: 7, -95, -275, -539, -893, -1343, -1895?
-2555
What is the next term in -24, -67, -146, -267, -436, -659, -942?
-1291
What is the next term in 13, 14, 15?
16
What is the next term in 229, 460, 691, 922, 1153?
1384
What is next in -16, -89, -162, -235, -308, -381?
-454
What is next in -22, -58, -108, -178, -274, -402?
-568
What is the next term in -25, -37, -41, -31, -1?
55
What comes next: -488, -491, -494, -497?
-500
What is the next term in 51, 54, 71, 108, 171, 266?
399
What comes next: -30, -116, -270, -498, -806, -1200?
-1686
What is next in 796, 1589, 2382, 3175?
3968
What is next in 124, 239, 342, 427, 488, 519, 514?
467
What is the next term in 29, 40, 57, 80, 109?
144
What comes next: -8436, -16869, -25292, -33699, -42084, -50441, -58764?
-67047
What comes next: 205, 198, 201, 220, 261, 330, 433?
576
What is the next term in -47, -101, -155?
-209
What is the next term in 11, 6, 1, -4?
-9
What is the next term in -8, -17, -38, -77, -140, -233?
-362
What is next in 491, 1981, 4465, 7943, 12415?
17881
What is next in -141, -568, -1281, -2280, -3565, -5136, -6993?
-9136
What is next in 114, 260, 464, 756, 1166, 1724?
2460
What is the next term in -143, -289, -435, -581, -727, -873?
-1019
What is the next term in 58, 74, 100, 136?
182
What is next in -100, -338, -740, -1312, -2060, -2990?
-4108
What comes next: -6752, -6750, -6748?
-6746
What comes next: -81, -114, -191, -330, -549, -866, -1299?
-1866
What comes next: -138, -137, -136, -135, -134?
-133
What is the next term in -30, -12, 32, 114, 246?
440
What is the next term in 62, 66, 60, 38, -6, -78?
-184
What is the next term in -104, -214, -324, -434?
-544
What is the next term in 24, 49, 94, 171, 292?
469
What is next in 35, -31, -93, -151?
-205
What comes next: -17, -4, 5, 4, -13, -52, -119?
-220
What is the next term in 26, 46, 62, 74, 82, 86, 86?
82
What is next in 8, 19, 30, 41, 52, 63?
74
What comes next: -2650, -5298, -7946?
-10594
What is next in 463, 451, 417, 349, 235?
63
What is the next term in -7459, - | {
"pile_set_name": "DM Mathematics"
} |
31) to b + l*f and give b.
105
Rearrange (-9*l + l + l - 3*l + 4*l + l + 1 + 3*l - 1 + (-2 + 5 - 1)*(l + 0*l + l) + 1 - l - 1)*(-2*l - 2*l + 3*l) to the form v*l + z*l**2 + c and give z.
-1
Rearrange (2*x - 6*x + x)*(-1 + 1 + 885*x**2 - 847*x**2) to z + w*x**3 + h*x**2 + m*x and give w.
-114
Express 3*t**2 + 0*t**3 - 1 - 15*t**4 + 9*t**4 + t**3 in the form y*t**4 + n*t**3 + r + g*t + q*t**2 and give q.
3
Rearrange -16*k - 2*k**4 - 2*k**4 - 3*k**2 + 6*k**4 + 21*k - 2*k**3 to the form i*k**2 + y + p*k**3 + b*k**4 + o*k and give p.
-2
Express 2*a**3 + 2*a**4 - 15*a**2 - 4*a**2 - 4*a**4 - 40 + 38 in the form q*a**2 + o*a**3 + d + p*a + h*a**4 and give h.
-2
Rearrange 5 - 3 + 0 - 2*d to n + l*d and give n.
2
Express 2*l**2 - 101*l + 103*l + 5*l**2 as a*l**2 + h + d*l and give a.
7
Express (-2*o + 3*o - 3*o)*(-7 + 2 + 3) in the form u*o + n and give u.
4
Rearrange (-4*q + 2 - 2)*(-5 + 4 + 1 - 63*q) to the form v + h*q**2 + c*q and give h.
252
Rearrange (-17*q + 40*q + q)*(0*q + 5*q - 3*q) to o*q**2 + f*q + l and give f.
0
Express -2*h**2 + h**2 - 4*h**3 + 0*h**3 in the form z*h**3 + g + l*h + o*h**2 and give z.
-4
Express -2*u**4 + 14 - 2*u**3 + 2*u**3 - 7*u**2 + 5*u**2 as x + i*u + j*u**2 + p*u**4 + l*u**3 and give x.
14
Express (4 + 1 - 4 + (-2 - 2 + 2)*(0 - 2 + 1) - 5 + 3 - 6)*(-g - g + 3*g)*(2 + 1 - 2) in the form r*g + w and give r.
-5
Rearrange (0*s**2 - 2*s**2 + 3*s**2)*(2*s - 2*s + 3*s) - 2*s**3 - 4*s**2 + 4*s**2 + (-3 - s**3 + 3)*(-5 + 1 + 6) to d*s + m + b*s**3 + z*s**2 and give d.
0
Express -323*i**2 + 323*i**2 + 118*i**3 + (3 - 2 + 1)*(-2*i**3 - i**3 + i**3) as p*i + o + c*i**3 + y*i**2 and give c.
114
Express (-5*i + 4 - 4)*(0*i**2 + 0*i**2 + i**2)*(-3*i + 3*i + 3*i) in the form k*i**4 + p + t*i + w*i**3 + d*i**2 and give k.
-15
Express (7 + 4 - 44)*(0*l + l + 3*l + (2 + 0 + 0)*(2*l + l - l)) in the form d + m*l and give m.
-264
Rearrange 87*i**2 - 73*i**2 - 56*i**2 to r*i + h*i**2 + f and give h.
-42
Express (1 + 1 - 12)*(z**2 + 2*z - 2*z) as u + a*z**2 + n*z and give a.
-10
Rearrange 112 - 55 - 58 + 4*x**3 + 7*x**2 to o*x + g*x**2 + j + n*x**3 and give o.
0
Rearrange -25*c + 89*c - 48*c to x*c + s and give x.
16
Rearrange (5*z**4 - 2*z**4 + 0*z**4)*(13 - 20 + 9) to the form v*z + p*z**3 + j*z**4 + d*z**2 + x and give j.
6
Rearrange (1 + 1 - 3)*(2*t**2 - t**2 + 0*t**2) + 22*t - 22*t - 15*t**2 + (1 + t - 1)*(-t - 3*t + 5*t) to the form p*t**2 + i*t + y and give p.
-15
Rearrange (3*z - 5*z + 7*z)*(3 - 4 + 0)*(0*z - 2 - z + 1) to j*z + i*z**2 + x and give i.
5
Express 0*v - 396*v**3 + 21*v**2 + 397*v**3 + 0*v as j*v**3 + x*v**2 + h + i*v and give x.
21
Express (-2 - 3 + 1)*(0*x - 2*x + 0*x)*(-4 + 4 - 2) in the form y*x + s and give y.
-16
Rearrange 44*v - 4*v - 18*v to s + o*v and give o.
22
Rearrange -9 - 30*x + 5*x + 11*x + 12*x to the form h*x + j and give j.
-9
Rearrange ((-2*l + 5*l - 4*l)*(1 - 4 + 5) + l - 2*l - 2*l + 2*l + 3*l + 0*l + (0 - 2 + 1)*(l + 1 - 1))*(0 + 2 - 1) to a*l + c and give a.
-1
Express -16*n**2 - 24*n**2 + 8*n**2 as o + b*n + m*n**2 and give m.
-32
Express 3*w**4 + 23*w**2 - 2*w - 2*w**2 + w**3 - 27*w**2 + 2 in the form a*w**4 + r*w**3 + o*w + k*w**2 + h and give r.
1
Express -9*s - 1 + 23*s - 2*s**3 - 10*s in the form z + y*s + t*s**2 + n*s**3 and give n.
-2
Rearrange 1 - 75*s**3 - 3*s**2 + 2*s**2 + s**2 to the form c*s**3 + j*s**2 + a*s + f and give c.
-75
Express -23*x**2 + 0*x - x + x in the form y + d*x + u*x**2 and give u.
-23
Express (-w**2 - 2*w**2 + 4*w**2)*(1 + 2 - 4) + (-3*w + 8*w + 4*w)*(-2 + w + 2) in the form p + d*w + j*w**2 and give j.
8
Rearrange 4 - 2 + 4 - 9*z - 2 to the form d*z + j and give j.
4
Express -8*l**2 - 6 + 2*l - 4 + 8 in the form c*l**2 + k + b*l and give c.
-8
Express (2 + 1 + 3)*(6*x - 3*x - 4*x - x + 0*x + 3*x + (3 - 2 - 2)*(-x - 5*x + 4*x) - 2*x - 2*x + 3*x) as u*x + i and give u.
12
Express (0*p + p - 2*p)*(31*p - 43 + 43 - 3*p + 3*p - p + (0 + 0 - 1)*(-p + 0*p + 2*p)) as c*p + h*p**2 + f and give h.
-29
Express (2 - 2 + 3)*(-416 + 416 + 12*p)*(-p - 2*p + 2*p) in the form k*p + j + u*p**2 and give u.
-36
Express -2*x + 0*x + x**4 - 2*x**4 - x**4 + 3 - 2*x**3 - 2*x**2 as j*x + h*x**2 + c*x**4 + r + d*x**3 and give c.
-2
Rearrange ((0*o + 2*o - o)*(3 - 3 + 2*o**2) - 4*o**2 + 4*o**2 + o**3)*(-3 - 2 - 2) to h*o + d*o**2 + g + q*o**3 and give q.
-21
Express (4 - 10 - 3)*(9 - 9 + w) as c*w + r and give c.
-9
Express (-6 + 2 + 4 + 1)*(-10 + 10 - 3*o) as a*o + w and give a.
-3
Express 621 + 19*t - 621 in the form u*t + y and give u.
19
Rearrange 93*w - 93*w + w**3 + 14 to the form b + c*w**2 + i*w**3 + u*w and give b.
14
Rearrange 3 + 9*d**2 + 0 - 4*d**2 + 0*d**2 to v*d**2 + b*d + y and give y.
3
Rearrange 94*v**2 + 3 - 2*v**3 - 3*v - 88*v**2 - 1 to k*v + h + d*v**3 + g*v**2 and give k.
-3
Express (0*q - 2*q + 0*q)*(-8 - 7 - 16)*(0 - 1 + 3) as m*q + j and give j.
0
Rearrange -2*q**4 + q**4 + 9*q**4 + (2*q**4 + q**4 + 0*q**4)*(-2 + 4 - 4) to j*q**2 + b*q + y*q**4 + g*q**3 + s and give y.
2
Rearrange -1 + 2*f**3 + 3 + f**4 - 26*f + 29*f to i*f + v*f**2 + s*f**4 + o + a*f**3 and give i.
3
Express -7 + k**3 + 9*k**2 - 2*k + 13*k**2 - 29*k**2 + 5*k**2 as a + j*k**3 + g*k + f*k**2 and give j.
1
Express -4*d**3 - 13*d + 13*d - 2*d**4 + d**2 + 1 in the form l*d**4 + x*d + v*d**3 + a*d**2 + r and give v.
-4
Express (4 - 2 - 5)*(t**3 - t**3 - 2 + t**4) as a*t + f*t**3 + r + j*t**4 + d*t**2 and give d.
0
Express (1 - t - 1 + t**2)*(t**2 + 4*t**2 - 2*t**2) as a + y*t**2 + g*t**4 + x*t + w*t**3 and give a.
0
Rearrange -46*n**2 - 525*n + 10*n**2 + 525*n to the form g*n + r*n**2 + j and give g.
0
Express -2*c - 5 + 18*c**2 - 20*c**2 - 10 + 5 as n + g*c + l*c**2 and give g.
-2
Rearrange (-2*p - p + 4*p)*(-51 + 51 + 10*p)*(3*p - 2*p - 2*p) to the form t*p + s + j*p**3 + a*p**2 and give s.
0
Express 86*a**3 + 2*a - 88*a**3 - 3*a - 3*a**2 + a**2 as r*a + t + y*a**2 + d*a**3 and give d.
-2
Rearrange -10*z - 6*z + 16*z + 62*z**2 to i*z**2 + r*z + j and give j.
0
Rearrange (z - 1 + 1)*(z + 0*z - 3*z) - 4*z**2 - 2*z**2 + 5*z**2 + z**2 - z**2 - 2*z**2 - 3*z**2 + z**2 - 4*z**2 to h*z + b*z**2 + i and give b.
-11
Express -14*l**2 + l + 58*l**3 - 3 - 30*l**3 - 29*l**3 as p + d*l**3 + f*l**2 + x*l and give d.
-1
Rearrange (-115 + 55 - 153)*(4 + 2*k**2 - 4) to the form f*k + j*k**2 + c and give j.
-426
Express (-20*a + 25*a - 75*a - 184*a)*(3*a**3 - 6*a**3 + 2*a**3) in the form d*a**3 + u*a + o*a**2 + f*a**4 + y and give f.
254
Rearrange 0*j + j - 2*j + j + 0 + 0 - 3*j + 2*j - j + (1 + 1 + 0)*(3*j - 2*j - 3*j) - 12*j + 31*j + 9*j to the form y*j + k and give y.
22
Rearrange 4 - 5 + 1 - 3*n to d + w*n and give w.
-3
Rearrange 23*l**4 + 3*l - 2*l - l**2 - 25*l**4 - 4*l**2 to p*l**2 + o*l**3 + b + y*l**4 + i*l and give i.
1
Rearrange (0 + 0 - q**4)*(-3 - 3 + 1) to i*q**2 + y*q**4 + p + f*q**3 + c*q and give y.
5
Rearrange (4*n**2 + 11 - 11 + (1 + 2 - 5)*(-2*n**2 + 2*n**2 + n**2))*(-7*n**2 + 3*n**2 + 3*n**2) to z*n + u + w*n**2 + m*n**4 + x*n**3 and give m.
-2
Express (3*z - 2*z - 4*z)*(92*z + 142 - 142) as x + w*z + q*z**2 and give q.
-276
Rearrange 2*y + 2*y + 2*y**4 - 2*y**3 - 4*y - 4*y to o*y + n*y**3 + z*y**2 + a*y**4 + j and give n.
-2
Express -o**4 - 1 + 0 + 3 + (0*o + o + 0*o)*(-8*o**3 - 77*o**3 + 42*o**3) in the form g*o**4 + j*o + b + u*o**2 + z*o**3 and give b.
2
Express (-4*h + 2*h + h)*(-2*h - 3 + 3) - h**2 - 2*h**2 + 0*h**2 + 2*h**2 - 2*h**2 + 7*h**2 in the form k*h**2 + z + c*h and give k.
6
Express (3*w**3 + 3 - 3)*(w + 4 - 4) + 3*w**4 - 2*w**4 + w**4 + 7*w**4 - 8*w**4 + 17*w**4 as i*w**2 + h*w**4 + g + m*w + y*w**3 and give h.
21
Rearrange ((2*i**2 - 2*i**2 - 2*i**3)*(-1 + 4 - 2) - 3*i**3 + 2*i**3 - 3*i**3)*(-2 - 4 - 8) to the form o*i**2 + d + h*i + v*i**3 and give v.
84
Express -2 - 1 + 12*q**4 + 4 - 10*q**4 - 19*q**2 in the form w + c*q**3 + l*q + i*q**2 + z*q**4 and give i.
-19
Rearrange 34*x**2 - 143*x**2 + 62*x**2 to h*x**2 + s + y*x and give h.
-47
Rearrange (-v - 2*v + 2*v)*(-230*v - 217*v + 23*v - 28*v) to j*v**2 + f*v + h and give j.
452
Rearrange 3*f + 0 + 2*f - 2 - 7*f to h*f + r and give h.
-2
Express (4*b - b - 5*b)*(-19*b**2 - 9*b**2 + 5*b**2) in the form q*b**3 + z + g*b + o*b**2 and give q.
46
Rearrange (-5 + 5 - y)*(-y**3 + 0*y + 0*y) - 7*y**4 + 3*y**4 + 2*y**4 + y**2 + y**2 - | {
"pile_set_name": "DM Mathematics"
} |
.1 (c) 2212/9 (d) 2 (e) -2/5 (f) -4/5
b
What is the smallest value in -3/2, 13, 2292.1, -4/3?
-3/2
Which is the smallest value? (a) 1/2 (b) 5 (c) -1/4 (d) -0.5 (e) 0.188 (f) 0
d
Which is the fifth biggest value? (a) 5 (b) 2 (c) 0 (d) 0.4 (e) -2/3 (f) -13
e
Which is the fifth smallest value? (a) 2/3 (b) -3/2 (c) 5 (d) 4 (e) 42/1189 (f) 0.5
d
Which is the fourth biggest value? (a) 27 (b) 3/383 (c) -0.3 (d) 4
c
What is the third smallest value in 2, 3/7, -2411, 5?
2
Which is the smallest value? (a) 1/2 (b) 3.4 (c) 0 (d) 8/7 (e) -1/2
e
Which is the second biggest value? (a) 10 (b) 0.3 (c) 173/8
a
What is the fifth smallest value in 0.4, -0.5, -0.09, -0.8, 0.047, -0.4?
0.047
Which is the third biggest value? (a) 0.6 (b) 1/4 (c) 0.4 (d) 0.2 (e) 248.7 (f) -1/3
c
Which is the third biggest value? (a) 1 (b) 4 (c) 78 (d) -4/11
a
Which is the third biggest value? (a) 4/27 (b) 28/9 (c) -50
c
Which is the fourth smallest value? (a) 4 (b) -5 (c) -0.4 (d) 2738/11 (e) -2
a
What is the fifth smallest value in -8.87, -7.6, 0.1, 0.5, -3/7?
0.5
What is the fifth smallest value in -6, 0.111, -0.1, -2/15, 53, -1?
0.111
Which is the fifth smallest value? (a) -0.2 (b) -2.6 (c) -2 (d) -55 (e) 0.4 (f) 2/11
f
What is the fifth biggest value in -3, 0.2, 2, -2/5, -2, 5/19?
-2
Which is the biggest value? (a) 57 (b) 2/9 (c) -2/7 (d) -3/4
a
Which is the fourth smallest value? (a) -175.4 (b) -2 (c) -1/3 (d) -0.2 (e) 11 (f) -0.4
c
What is the fifth smallest value in -3.5, 0.13, 1, 1/4, -4, -0.03?
1/4
Which is the fourth smallest value? (a) 1 (b) 1/3 (c) -33 (d) 0.1 (e) 7
a
Which is the second biggest value? (a) 6 (b) 19 (c) -10
a
Which is the second biggest value? (a) 0.1 (b) 2672 (c) 17
c
What is the third smallest value in -0.436, -2/9, -42?
-2/9
What is the third biggest value in -22.68, 2/11, -3/185?
-22.68
Which is the smallest value? (a) 4 (b) 1 (c) 0.0882 (d) 0 (e) 3 (f) 5
d
What is the biggest value in 2, 2/43, -5, -113/15?
2
Which is the smallest value? (a) 2/11 (b) 3903 (c) 51 (d) -1/7
d
What is the biggest value in 51, 9/8, -123?
51
What is the second smallest value in 3, -5.1, -101.4?
-5.1
Which is the biggest value? (a) 2 (b) -1.87 (c) -2 (d) 3 (e) -1/5
d
What is the third smallest value in -9, 59692, -4?
59692
What is the second biggest value in -9, 2/5, 4, 0.42, -0.7?
0.42
What is the smallest value in -246, -1/4, -2/9, 0?
-246
What is the third smallest value in -923, -16/3, -1, 0.3?
-1
Which is the biggest value? (a) -695 (b) 17/5 (c) -13
b
What is the fifth smallest value in 0, -1, 1/215, 10, 4?
10
What is the smallest value in 5.3, -3/5, -15, 0, -0.039?
-15
What is the fifth biggest value in -5/4, -122, -50, -2/85, 1?
-122
Which is the sixth biggest value? (a) -4/57 (b) -2/5 (c) 2/29 (d) 2 (e) -0.2 (f) 9
b
What is the biggest value in -0.14, 2/17, 2/9, 4, 5, -43?
5
What is the third smallest value in -1, -2, -0.018, -4?
-1
What is the third smallest value in 4/3, -0.2, 11, -550?
4/3
Which is the fifth biggest value? (a) 2/3 (b) 9 (c) 23 (d) 2/17 (e) 3
d
Which is the biggest value? (a) -3 (b) -24 (c) -11 (d) 29
d
What is the smallest value in -1, -144, -32.7?
-144
What is the fourth smallest value in -18, 0.072, -1/5, -0.01, 3?
0.072
Which is the second smallest value? (a) 5 (b) -4 (c) 0.15 (d) -5 (e) -1126 (f) 3
d
Which is the biggest value? (a) 18155 (b) 0 (c) 0.184
a
Which is the second biggest value? (a) -2/9 (b) -0.056 (c) -0.207
c
What is the second biggest value in -317/2, -2/817, 0.1, 2, 1/5?
1/5
What is the fourth smallest value in -234, 0.3, -3/4, 12/7?
12/7
What is the smallest value in -5, -9, 10?
-9
Which is the fourth biggest value? (a) 9/361 (b) -2/11 (c) 0.4 (d) 1/3
b
What is the fourth smallest value in -1, 2/18485, -7, -0.2?
2/18485
Which is the second biggest value? (a) 0.01 (b) -1 (c) -587 (d) -0.3
d
What is the smallest value in 5, -3, -2, -5, -1/17708, -0.3?
-5
What is the second smallest value in -5, -0.5, -2/9, -2594, -2/19?
-5
Which is the second biggest value? (a) -61592 (b) -11 (c) -2
b
Which is the smallest value? (a) -0.2 (b) -3/52 (c) 0.044
a
Which is the fourth biggest value? (a) 1/8 (b) 6 (c) 2/9 (d) 3 (e) -6
a
Which is the second biggest value? (a) -0.1 (b) 491 (c) -0.3 (d) 0 (e) -6
d
What is the third smallest value in -2/11, 3, -52, -1, -4?
-1
What is the third biggest value in -1, -18, 0.6, 2, 1/8, -1/4?
1/8
What is the third biggest value in 4, -7, -0.04926, -4?
-4
Which is the fourth biggest value? (a) 4 (b) 0 (c) -2/9 (d) -2/3 (e) 326
c
What is the second smallest value in -59, 16, 0.7, 3, 0.1?
0.1
Which is the fifth biggest value? (a) -5 (b) 24 (c) 1/3 (d) -3/4 (e) -4/7
a
Which is the fourth biggest value? (a) -14 (b) 0.02 (c) -10 (d) 1
a
Which is the second biggest value? (a) -0.3 (b) 3 (c) 1/2 (d) 0.1 (e) -1870 (f) -2
c
Which is the third biggest value? (a) -13 (b) 1 (c) 24 (d) -0.4 (e) -27
d
What is the smallest value in 1, -2/5, 4, -0.027, 0.5, -2?
-2
What is the third biggest value in 2, 703909, -0.4?
-0.4
Which is the second biggest value? (a) -0.11 (b) 4 (c) -19 (d) 0.2 (e) -6.6
d
Which is the fourth smallest value? (a) -24 (b) -2/3 (c) 3355 (d) -1/2
c
What is the fifth smallest value in -23/3, 5, 4, -4, 74?
74
Which is the fourth smallest value? (a) -7 (b) -1 (c) -3 (d) -2/7 (e) -0.3
e
Which is the fourth biggest value? (a) -1/3 (b) 31 (c) 3/13 (d) 0 (e) 4
d
What is the biggest value in -2, 8, 5, -288/5, 4, 0.3?
8
Which is the fourth biggest value? (a) 5 (b) -2 (c) -0.5 (d) 0.072 (e) 3/26
c
What is the third smallest value in 2/13, 0.5, 2/21, -5?
2/13
Which is the fourth biggest value? (a) -2.12 (b) 11 (c) -0.3 (d) -1 (e) -3
a
What is the smallest value in -0.4, 3, -7434?
-7434
What is the third biggest value in 2.94, -2.6, 2/3?
-2.6
What is the third biggest value in -596, 2/9, 0.1?
-596
Which is the third smallest value? (a) -4 (b) 5 (c) -10915
b
What is the second biggest value in 1, -2/3, 0.1083983?
0.1083983
Which is the fifth smallest value? (a) 0.04 (b) 1.2 (c) -192 (d) 2/9 (e) -0.4 (f) 0.2
d
What is the smallest value in -58, -0.2, -1, -5, 39.6?
-58
Which is the fourth biggest value? (a) 50 (b) -0.3 (c) 5 (d) -1
d
What is the fifth biggest value in 3/8, -17, 0.2, -0.4, -3?
-17
What is the fifth biggest value in -0.5, -15, 0.4, 1, 0, -2/103?
-0.5
What is the second biggest value in -3532, 0.07, -0.2?
-0.2
What is the fourth smallest value in -1, -1111, 1, -52, 2?
1
What is the third biggest value in -4, 0.3, 83, 303/2, -1?
0.3
Which is the third biggest value? (a) -179 (b) -123 (c) 1/3
a
Which is the smallest value? (a) -0.4 (b) 1/9 (c) -2 (d) 3/35
c
Which is the third smallest value? (a) -2.5 (b) -0.2 (c) -1/4 (d) -14 (e) -5 (f) 3
a
What is the third biggest value in 3/13, 54, -8?
-8
Which is the second smallest value? (a) 43 (b) -44/9 (c) -2/9 (d) 3 (e) 4
c
What is the smallest value in 1.3, -7/3, -0.4, -0.5, 3?
-7/3
What is the third smallest value in -0.3, 3, -1, 4, -0.091?
-0.091
Which is the third smallest value? (a) -2/5 (b) -1 (c) 558 (d) -18
a
What is the smallest value in 37/3, 2/3, 32, -0.3, 1?
-0.3
What is the second smallest value in 8/12395, -2/7, 4?
8/12395
Which is the fourth biggest value? (a) 0.4 (b) 0.6 (c) -1.5 (d) -1.3
c
Which is the third biggest value? (a) -28/11 (b) -2/7 (c) 1 (d) -0.1 (e) 2/7 (f) 0.01
f
What is the smallest value in 3378, -0.4, 54.9?
-0.4
What is the fourth biggest value in -2/9, -2, -8, 1536?
-8
What is the third biggest value in 12, 654, 17.7?
12
What is the biggest value in -0.0802, 269, 0.3, 0?
269
What is the biggest value in 5, -4, -0.6, 2/15, 6, -2/7?
6
Which is the second biggest value? (a) -3/7 (b) 1 (c) -1613.5
a
Which is the fourth biggest value? (a) -4 (b) -2/11 (c) 1 (d) 2/11 (e) 100 (f) 4
d
Which is the second biggest value? (a) -1.7 (b) 0.5 (c) 5
b
What is the fifth smallest value in 2/5, 1/5, 4/3, -1/338, -83.8?
4/3
Which is the fourth biggest value? (a) 0 (b) -0.46 (c) -5/6 (d) -4 (e) 0.2
c
Which is the second smallest value? (a) -1493 (b) -3/5 (c) 20
b
What is the third biggest v | {
"pile_set_name": "DM Mathematics"
} |
e 8, what is -5406306 + -105?
-5406413
In base 5, what is 20020102 + 21320?
20041422
In base 12, what is 27455a71 - 5?
27455a68
In base 12, what is 12294 + 1489?
13761
In base 12, what is 3 - -16123b89?
16123b90
In base 16, what is -2be1b - 84?
-2be9f
In base 4, what is 11 - -1000203011303?
1000203011320
In base 5, what is 3422423322 - -10?
3422423332
In base 10, what is 482026 - 60?
481966
In base 16, what is -a + 262dfe?
262df4
In base 9, what is -14 + 665488?
665474
In base 3, what is -1021000112 + 10201?
-1020212211
In base 3, what is 210110201001022121 - -2?
210110201001022200
In base 14, what is 90 + 5442a6?
544356
In base 11, what is 1347 - 30297?
-29a50
In base 10, what is 12810 + 743?
13553
In base 11, what is 4 - 191a3447?
-191a3443
In base 9, what is 321 + 502302?
502623
In base 13, what is -91 - 8441?
-8502
In base 3, what is 201112212210112 - -112?
201112212211001
In base 6, what is -10 + -113532233?
-113532243
In base 9, what is 6221 - -2224?
8445
In base 10, what is 0 - -7483883?
7483883
In base 14, what is -3 - a9dc38?
-a9dc3b
In base 6, what is 52300 - 201002?
-104302
In base 11, what is 1 + 85a530?
85a531
In base 16, what is 3 - -49e5b?
49e5e
In base 5, what is 13432321243 - 0?
13432321243
In base 14, what is 5b9907 + 1?
5b9908
In base 13, what is -4572 + 6a63?
24c1
In base 2, what is 10111000010000101111011 - 1010?
10111000010000101110001
In base 7, what is 4310050 - 6112?
4300635
In base 3, what is 11 - -2021022122111000?
2021022122111011
In base 2, what is -100111101 - 1000001101110010?
-1000010010101111
In base 4, what is -112212 - -3103?
-103103
In base 7, what is -23644326 + -16?
-23644345
In base 9, what is 58 - -340288?
340357
In base 4, what is -112303 - 211203200?
-211322103
In base 14, what is cc7c2d39 - -5?
cc7c2d40
In base 4, what is -10 + -11033100002?
-11033100012
In base 3, what is -2012022211021 - 120022?
-2012100101120
In base 5, what is 132114 + -10342?
121222
In base 6, what is -5320114 + 15?
-5320055
In base 5, what is -1202031011204 - -4?
-1202031011200
In base 10, what is -10787 + 20158?
9371
In base 11, what is a - -14243520?
1424352a
In base 9, what is -14 + 1014876?
1014862
In base 11, what is 817 - 17402?
-16696
In base 2, what is 10110010110001100110000 - -10?
10110010110001100110010
In base 6, what is 5 - -15325231231?
15325231240
In base 12, what is 2338303 + 14?
2338317
In base 13, what is -90 + 3387c?
337bc
In base 16, what is -49e4 - -84d?
-4197
In base 10, what is 73 - -1072826?
1072899
In base 12, what is -174217 - 479?
-174694
In base 13, what is -13346 - -240?
-13106
In base 13, what is 3 - 2ccc72?
-2ccc6c
In base 15, what is bc2e454 - 1?
bc2e453
In base 2, what is 111 + -11100101000110000011101?
-11100101000110000010110
In base 16, what is -2 + d11240?
d1123e
In base 8, what is -42064143 - -3?
-42064140
In base 3, what is 2020201200 - -1221110?
2022200010
In base 13, what is b - -12195a?
121968
In base 14, what is 2508 - 68?
2480
In base 14, what is 6 - -7065c32?
7065c38
In base 15, what is -14cd4b1 - 2?
-14cd4b3
In base 11, what is -3a - -724897?
724858
In base 12, what is -34683 - 65a?
-35121
In base 13, what is -773b13 - -57?
-773a89
In base 2, what is 11 + 11110011011001100111101?
11110011011001101000000
In base 11, what is -32460 - 37a0?
-36150
In base 3, what is 12010200110110 + 12?
12010200110122
In base 3, what is -12 - -2220010202021?
2220010202002
In base 4, what is 3 + 2002021230223?
2002021230232
In base 8, what is -1 - -3554563?
3554562
In base 12, what is -7963b8 - -37?
-796381
In base 13, what is -2 + -17998cc?
-1799901
In base 4, what is 301300 + 2103203?
3011103
In base 4, what is -20222210330 + -1121?
-20222212111
In base 11, what is -4253 + -5598a?
-5a132
In base 16, what is 15 - -93ee7?
93efc
In base 3, what is 20122121010021211 - -1?
20122121010021212
In base 6, what is -1402503030 - 101?
-1402503131
In base 14, what is 1c655215 - -4?
1c655219
In base 8, what is -33130 - -37340?
4210
In base 16, what is 26 + -35c6?
-35a0
In base 11, what is -7828a9 - 3?
-782901
In base 6, what is -1525 + 31014040?
31012111
In base 11, what is 22a93839 + 0?
22a93839
In base 8, what is 1104041206 - -3?
1104041211
In base 2, what is 10100 + 101000110000110111000?
101000110000111001100
In base 15, what is 43ac8a + 15?
43aca0
In base 12, what is -16 + -1172412b?
-11724145
In base 13, what is -1c + ba8529?
ba850a
In base 13, what is 1 - -658ca884?
658ca885
In base 10, what is -1222 + 96950?
95728
In base 6, what is 104525 - 142042?
-33113
In base 2, what is -100 + 101011011110111100100?
101011011110111100000
In base 2, what is -111010001001100100111001010 + 10?
-111010001001100100111001000
In base 14, what is -249d - 1152b?
-139ca
In base 8, what is -5 - -5605272?
5605265
In base 7, what is -32 - -13314313?
13314251
In base 13, what is -c43529 - 1?
-c4352a
In base 12, what is -3 + -6114754a?
-61147551
In base 4, what is 11 + -1201112000030?
-1201112000013
In base 2, what is -1010010000 + -100111010101100011000?
-100111010110110101000
In base 4, what is 23231013 + -133221?
23031132
In base 7, what is 325513402 + -2?
325513400
In base 16, what is -23 + 3e9bf?
3e99c
In base 16, what is -fcb886 - 3?
-fcb889
In base 2, what is 10000 + -111001111101?
-111001101101
In base 12, what is -59 - -6481b7?
64815a
In base 16, what is 2558 - 1e?
253a
In base 5, what is -132311 + -1014?
-133330
In base 11, what is a08a0 - 109a?
9a801
In base 7, what is 23230260 - -10?
23230300
In base 13, what is -2 - -c45298?
c45296
In base 5, what is -4241 - -212131?
202340
In base 16, what is 29d615 + 1?
29d616
In base 14, what is 54661 + 2b3?
54934
In base 5, what is 1121030 + -132221?
433304
In base 16, what is -9cdd0 - -172?
-9cc5e
In base 16, what is f8dd1 + -f?
f8dc2
In base 16, what is 72f89 - -1e?
72fa7
In base 13, what is -3c0 + 86b?
47b
In base 7, what is 1 + 330164?
330165
In base 14, what is -377 + -27169c?
-271a35
In base 15, what is b919 - 14?
b905
In base 3, what is -10222211112101 - 201?
-10222211120002
In base 12, what is 3 - 22733b39?
-22733b36
In base 14, what is 34 - -1bdb30?
1bdb64
In base 7, what is -21515064 + 3?
-21515061
In base 9, what is 32 - -1424802?
1424834
In base 10, what is 2015 + 2184?
4199
In base 11, what is -73a914 + 8?
-73a907
In base 15, what is d607 - -1dd?
d7e5
In base 16, what is 3 - dfb49?
-dfb46
In base 4, what is -11 + 1213332010231?
1213332010220
In base 9, what is -5734618 - 2?
-5734621
In base 9, what is 1450 + -36304?
-34744
In base 6, what is -34034 - 35122?
-113200
In base 3, what is 0 - 112012010100100?
-112012010100100
In base 7, what is -5 + 62030412?
62030404
In base 11, what is -a0287 + -1465?
-a1741
In base 15, what is 29 + ca00?
ca29
In base 3, what is 11 - -12100010122021?
12100010122102
In base 14, what is -24 + 70a54?
70a30
In base 14, what is cbb + -40b7?
-31da
In base 7, what is 4 - 1222450420?
-1222450413
In base 6, what is 30304052 - 3?
30304045
In base 9, what is 82362 - 36?
82325
In base 10, what is 1194977 + -16?
1194961
In base 6, what is 34 - 1033302201?
-1033302123
In base 5, what is -1011302 + -41333?
-1103140
In base 13, what is -10699 - 1cb?
-10897
In base 2, what is -1000100 - -100100000100?
100011000000
In base 13, what is 12 - 2aa70c6?
-2aa70b4
In base 14, what is -1ad - 2a27?
-2bd6
In base 13, what is -194818 - -3cb?
-19441a
In base 4, what is 221011032323 + -2?
221011032321
In base 10, what is 10468220 + 5?
10468225
In base 6, what is -233203000 - 25?
-233203025
In base 15, what is -186b88 + ed?
-186a8a
In base 13, what is -1 - 92bc82b?
-92bc82c
In base 15, what is -99ada - -d6?
-99a04
In base 10, what is 1646783 + 653?
1647436
In base 7, what is -11622641601 - 3?
-11622641604
In base 7, what is -33 + 104130?
104064
In base 4, what is 1 + 101223010?
101223011
In base 8, what is -123536 - -2644?
-120672
In base 7, what is -50365 - 2054?
-52452
In base 15, what is -2 + -edb1ea5?
-edb1ea7
In base 9, what is 2757 - -87600?
101457
In base 11, what is -18 - -1589a4?
158987
In base 15, what is -2c4221b - -4?
-2c42217
In base 12, what is -23a8 - 1595?
-3981
In base 6, what is 32 + -4503001?
-4502525
In base 7, what is 20255426 - 163?
20255233
In base 5, what is -2144 + -13340442?
-13343141
In base 14, what is 1923b16 + 1?
1923b17
In base 8, what i | {
"pile_set_name": "DM Mathematics"
} |
7, what is -63 - 164?
-260
In base 9, what is -2015 + 1?
-2014
In base 15, what is 2 + -258?
-256
In base 2, what is -1000101 + -1010?
-1001111
In base 3, what is -10110111 - 10?
-10110121
In base 9, what is 3 + 53?
56
In base 9, what is 25 - -132?
157
In base 8, what is 70625 - 4?
70621
In base 16, what is 55 - -1?
56
In base 7, what is -264 + 445?
151
In base 14, what is 97 + -b4?
-1b
In base 12, what is a3 + 2?
a5
In base 12, what is -497 - 30?
-507
In base 13, what is 2a3 - 3?
2a0
In base 14, what is 36d - 5?
368
In base 6, what is -22 + -313?
-335
In base 11, what is -220 - 13?
-233
In base 11, what is aa - 1?
a9
In base 8, what is -3 - -2044?
2041
In base 7, what is 3 + 25?
31
In base 13, what is 204 - -1?
205
In base 15, what is -7 + -60?
-67
In base 8, what is 512 - 5?
505
In base 8, what is 12 + 17?
31
In base 12, what is -23a4 + 1?
-23a3
In base 7, what is -122 - -6?
-113
In base 5, what is -1 + -240?
-241
In base 16, what is -157 - -7?
-150
In base 10, what is 7 - -87?
94
In base 10, what is -1 - -1327?
1326
In base 12, what is 4815 + 0?
4815
In base 15, what is 9a + 3?
9d
In base 7, what is -10 - -2203?
2163
In base 16, what is -2 - 70?
-72
In base 12, what is 2 - a98?
-a96
In base 9, what is 5 + 4?
10
In base 3, what is -1012 - 12?
-1101
In base 15, what is -1c - 2?
-1e
In base 16, what is 1 - -2e?
2f
In base 10, what is 4 - -638?
642
In base 14, what is 543 + -5?
53c
In base 8, what is 3 - -177?
202
In base 16, what is -2111 - 4?
-2115
In base 5, what is -3 - -200?
142
In base 4, what is -2013 + -3?
-2022
In base 7, what is 123 - 234?
-111
In base 5, what is -3142 + -12?
-3204
In base 11, what is -7 - -5?
-2
In base 13, what is -24 - -14?
-10
In base 7, what is 3 - 1303?
-1300
In base 15, what is -1 + 7?
6
In base 16, what is -8d + 47?
-46
In base 3, what is -120 + 111211?
111021
In base 12, what is -21 + 5?
-18
In base 14, what is -8 + 1cb?
1c3
In base 11, what is -39a - -1?
-399
In base 7, what is 5 - 22466?
-22461
In base 9, what is 578 - 5?
573
In base 6, what is 5 + -3433?
-3424
In base 14, what is 3 + -aa?
-a7
In base 6, what is 354 - 12?
342
In base 5, what is 3440 - -2?
3442
In base 15, what is -5 + -209?
-20e
In base 15, what is -4 - 712?
-716
In base 15, what is -1 + -11b?
-11c
In base 3, what is -112010021 - -1?
-112010020
In base 9, what is -3747 + -2?
-3750
In base 4, what is 2000 - 112?
1222
In base 8, what is 27 + -152?
-123
In base 9, what is -2 + 750?
747
In base 16, what is -10fd + -3?
-1100
In base 9, what is -1 + -812?
-813
In base 13, what is 8 - -11?
19
In base 11, what is -2 - 139?
-140
In base 9, what is 7 + -851?
-843
In base 2, what is -1000110 + -1100?
-1010010
In base 13, what is -14 + -7?
-1b
In base 2, what is -11 - 11111100?
-11111111
In base 11, what is 16 - 2?
14
In base 6, what is 2 - 35203?
-35201
In base 4, what is -23 - -20113?
20030
In base 6, what is 10 + 4?
14
In base 2, what is -100 + -1111110111?
-1111111011
In base 8, what is 3 + -347?
-344
In base 16, what is -3 - 14?
-17
In base 10, what is -3 + 8?
5
In base 4, what is -2 - 2312?
-2320
In base 5, what is 13300 - 3?
13242
In base 16, what is 5 + -37?
-32
In base 6, what is 4 - 255?
-251
In base 12, what is 81b - 16?
805
In base 5, what is -123 + -2142?
-2320
In base 15, what is -c1 - -5?
-bb
In base 12, what is 282 + -2?
280
In base 11, what is -1 + 32?
31
In base 2, what is -1011 - -1?
-1010
In base 10, what is 10 + 5?
15
In base 2, what is -101 + -10000110?
-10001011
In base 10, what is -18 - 329?
-347
In base 13, what is -5 - 39?
-41
In base 11, what is 6 - 134?
-129
In base 11, what is -1 - 330?
-331
In base 8, what is -2745 + -3?
-2750
In base 4, what is 102 + -213?
-111
In base 8, what is -1 + -77?
-100
In base 12, what is 550b + 4?
5513
In base 8, what is 1 + 157?
160
In base 4, what is 20 + -111233?
-111213
In base 9, what is -778 + -10?
-788
In base 11, what is -7 - -96?
8a
In base 6, what is 343 + 1?
344
In base 3, what is -20121 + 11?
-20110
In base 14, what is -70 + 2?
-6c
In base 5, what is -113410 - 4?
-113414
In base 6, what is 245 - 3?
242
In base 7, what is -551 + -5?
-556
In base 10, what is -3 + -140?
-143
In base 8, what is 2 + -124?
-122
In base 9, what is 1343 + 0?
1343
In base 3, what is 1101011 - 12?
1100222
In base 8, what is 214 + -411?
-175
In base 15, what is 63 + 55?
b8
In base 6, what is -12 - 354?
-410
In base 3, what is 12 + 12121?
12210
In base 13, what is -2a - -658?
62b
In base 12, what is 212 - -8?
21a
In base 15, what is -4 - 776?
-77a
In base 6, what is -14130 - -5?
-14121
In base 6, what is 0 - -153?
153
In base 14, what is -78 + -3?
-7b
In base 5, what is 24 + 2030?
2104
In base 16, what is -5 + b5?
b0
In base 8, what is -6 - 27?
-35
In base 9, what is 208 + 4?
213
In base 15, what is -434 + -2?
-436
In base 16, what is 435 - -5?
43a
In base 15, what is 3 - -e35?
e38
In base 13, what is 32 - b9?
-87
In base 8, what is 3 - 0?
3
In base 14, what is 1161 + -1?
1160
In base 4, what is 1322 - 0?
1322
In base 14, what is 5 + -85c?
-857
In base 6, what is -11 + 20?
5
In base 8, what is 12114 + 3?
12117
In base 9, what is -84 + 13?
-71
In base 8, what is 141 - -1?
142
In base 9, what is -1 + -325?
-326
In base 5, what is 1 - -43?
44
In base 16, what is -6 - -47?
41
In base 16, what is 109c - 5?
1097
In base 6, what is -145 + -11?
-200
In base 11, what is 24 - 6?
19
In base 5, what is -1011 + -11?
-1022
In base 8, what is 4 + 45?
51
In base 16, what is 673 + 5?
678
In base 16, what is -16a3 - -5?
-169e
In base 6, what is -433 + -2?
-435
In base 11, what is 29 - -37?
65
In base 7, what is -120 - 60?
-210
In base 3, what is 20 + -212102?
-212012
In base 6, what is 23014 + 0?
23014
In base 11, what is 984 + 3?
987
In base 15, what is 39 - -2?
3b
In base 2, what is -1111 - 1001011?
-1011010
In base 4, what is -32 + 10?
-22
In base 10, what is 35 - -5?
40
In base 8, what is 4 - 1317?
-1313
In base 6, what is 435 - 31?
404
In base 12, what is -14a - 1?
-14b
In base 2, what is 111101011 + 100?
111101111
In base 11, what is -1170 - 8?
-1178
In base 16, what is b9 - 4?
b5
In base 6, what is 1214 - 5?
1205
In base 16, what is 262 - 1?
261
In base 13, what is 108 - 66?
72
In base 7, what is -3523 - -4?
-3516
In base 5, what is -33 + -3?
-41
In base 10, what is 6 + 4897?
4903
In base 10, what is 1 + 16?
17
In base 11, what is 0 + -a9?
-a9
In base 12, what is 1 + -237?
-236
In base 4, what is 20 + -123?
-103
In base 14, what is 4 - -18?
1c
In base 5, what is -103 + 1231?
1123
In base 4, what is -1 + -3010?
-3011
In base 5, what is 0 + -31?
-31
In base 4, what is -101200 - 0?
-101200
In base 2, what is -101 + 1101111?
1101010
In base 11, what is 2 + -1308?
-1306
In base 12, what is -3 + -2bb?
-302
In base 13, what is -2 - 38?
-3a
In base 16, what is 80 + -5?
7b
In base 7, what is 4 + 3?
10
In base 5, what is -103 + -1?
-104
In base 6, what is -34153 + -5?
-34202
In base 8, what is 35 + -27?
6
In base 10, what is -24 + 26?
2
In base 15, what is -82 - 7?
-89
In base 15, what is -3 - 1cbe?
-1cc2
In base 2, what is 1011001 - 11100?
111101
In base 16, what is -22 - 5?
-27
In base 10, what is 332 - -2?
334
In base 7, what is -253 + -1?
-254
In base 5, what is -2240 + 33?
-2202
In base 4, what is 10201 - 23?
10112
In base 14, what is -4 - -78?
74
In base 11, what is 0 - a25?
-a25
In base 15, what is 4 - -213?
217
In base 16, what is -f7 - -39?
-be
In base 5, what is -313 - 230?
-1043
In base 13, what is -6 + -1b?
-24
In base 4, what is 3 - -212?
221
In base 15, what is -74 + 21?
-53
In base 10, what is -2 + 6?
4
In base 13, what is 11 + -b9?
-a8
In base 14, what is -212a - 5?
-2131
In base 2, what is -1010000 - -1011?
-1000101
In base 7, what is 3 - -461?
464
In base 8, what is -4 - 1222?
-1226
In base 15, what is -10 + 4?
-b
In base 4, what is 11 - -100100?
100111
In base 10, what is -1 + 127?
126
In base 3, what is -1200021122 + 10?
-1200021112
In base 13, what is 5 - 2c5?
-2c0
In base 8, what is -15 + 16?
1
In base 10, what is -1063 + 1?
-1062
In base 6, what is -1 + 3342?
3341
In base 16, what is -1 - e9?
-ea
In base 15, what is -1bb9 - 3?
-1bbc
In base 14, what is -29 + 3c?
13
In base 16, what is -17de + 1?
-17dd
In base 2, what is -1110000 + -100?
-1110100
In base 4, what is 2303 + 11?
2320
In base 14, what is 0 - - | {
"pile_set_name": "DM Mathematics"
} |
, x, 2, 4.
x, 2, 3, 4, 5
Suppose -g = 4*p - 168, -126 = -1092*p + 1089*p - 5*g. Sort p, 73, -2/13 in decreasing order.
73, p, -2/13
Suppose -97*o - 394 - 91 = 0. Sort o, -6, 1/4, 0 in decreasing order.
1/4, 0, o, -6
Let v = 10392 + -10393. Sort v, -2, 1, 7.
-2, v, 1, 7
Let r(h) = 2*h**2 + 9*h - 8. Let f be r(-8). Suppose -7*t + 29 = -f. Sort t, 0, -5 in descending order.
t, 0, -5
Let z = -2146 + 2117. Sort -3, 0.1, z, 2/7 in increasing order.
z, -3, 0.1, 2/7
Let y be ((-9 - -1) + 48/8)/(0 + -12). Let d = -1054/1305 - -2/261. Put -0.5, d, 0.4, y in increasing order.
d, -0.5, y, 0.4
Let i = 14775.5 - 14775. Sort -0.001, i, 0.1, 3/2, -1 in decreasing order.
3/2, i, 0.1, -0.001, -1
Suppose 0 = -5*y - 5*y + 4600. Let f = y + -2302/5. Sort -1.3, f, 5.
-1.3, f, 5
Let f = -19 + 42. Let v(j) = -8*j + 19. Let r be v(4). Let m = f + r. Put m, 4, -3 in increasing order.
-3, 4, m
Let t be 3/(-16) + (-6968)/(-1664). Suppose 0 = -5*p - 3 - 2. Sort -4, t, -13, p in descending order.
t, p, -4, -13
Suppose -5*u - 3*b - 2 - 20 = 0, 4*u - 4*b + 56 = 0. Put -6, -5, -3, u in increasing order.
u, -6, -5, -3
Let s be (6/(-8))/(3/(-2)). Let b = 0.02988 + -5.02988. Let k = -293/4 - -74. Put s, k, 0.4, b in increasing order.
b, 0.4, s, k
Let n = -2/369 - 353/2952. Sort -0.5, 0.1, -2/25, n, 2/5 in decreasing order.
2/5, 0.1, -2/25, n, -0.5
Let h(v) = -v**2 - 17*v + 27. Let y be h(-18). Let d be (2/y)/((-7)/(-63)). Put d, -8, 0, -1 in increasing order.
-8, -1, 0, d
Let n = -37153/8 - -4646. Put n, -1/2, 8 in decreasing order.
8, n, -1/2
Let f = -0.512 - -0.212. Let l = 25 + -27.5. Let r = l + 2.3. Put 1/3, f, r in decreasing order.
1/3, r, f
Suppose -16 = 8*c + 4*f, -55*c + 5*f = -53*c - 32. Sort c, -144, -2 in descending order.
c, -2, -144
Let o = 63 - 61. Suppose 0 = 3*s - o*s - 27. Put s, -4, 5, -1 in descending order.
s, 5, -1, -4
Let n = 55/3 - 18. Let m = 8.388 + -0.388. Sort n, m, -1/4, 0.4 in decreasing order.
m, 0.4, n, -1/4
Let n(m) = m**3 - 23*m**2 - 26*m + 39. Let w be n(24). Let u be (10 + w)*(2 + -1). Sort 12, -2, u.
-2, u, 12
Let t be (-15 - -11)/(16/(-2 + 6)). Sort 0, 5, t, -99 in descending order.
5, 0, t, -99
Suppose 10 = -0*z + 5*z. Suppose 5 = 3*v + z*v. Let j(s) = -120*s + 3816. Let i be j(32). Put i, -4, v in decreasing order.
v, -4, i
Suppose 2*k + 166 = 408. Let o = 116 - k. Sort o, 7, 4, -4.
o, -4, 4, 7
Let n = -1144 - -1703. Let x = -559.5 + n. Sort -0.1, x, 1, 0.5.
x, -0.1, 0.5, 1
Let d be 6/3 + -2 - 1. Let o be (8/76)/((-1)/d). Let m be (18 - (23 - 0)) + 222/48. Sort 0.5, o, m in descending order.
0.5, o, m
Let b = -405.3 + 403.3. Put b, -1, 1/5, 0.4, -3/17 in descending order.
0.4, 1/5, -3/17, -1, b
Suppose -u - 4*g + 0*g = -3, 2*u + 2*g = 0. Let t = 1.97 + -2.57. Sort u, -5, t in increasing order.
-5, u, t
Suppose -4*c + 2*y = -64, 0 = -c + y - 2*y + 13. Let j be (1/6)/(c/90). Let h be (-1)/2*(15 - 15). Put j, h, -4 in decreasing order.
j, h, -4
Let g = 50/7 + -7. Suppose 14*v + 33*v = 0. Sort v, -7, g in descending order.
g, v, -7
Let w = -873 - -872.7. Sort w, 6, 0.1, 3, -8 in decreasing order.
6, 3, 0.1, w, -8
Let c = -34 - -22. Let p = c + 17. Sort 3/8, p, 4 in increasing order.
3/8, 4, p
Let u = 667 - 665. Let t = -28.3 + 26.3. Put t, 2/5, 0.1, u in decreasing order.
u, 2/5, 0.1, t
Suppose 6 = -2*t + 4*b, 0 = -3*t + 4*b + b - 7. Let v(a) = 4*a**3 + 2*a + 0*a + t + 5*a - 5*a. Let l be v(-1). Sort 0.2, l, 0.5.
l, 0.2, 0.5
Let w = -1306 - -1318.85. Let m = w + -12.75. Let q = -125/102 - -1/17. Put m, q, 1 in decreasing order.
1, m, q
Let x = 22 - 24. Let d be (-13)/(-4) + (-2)/((-16)/x). Suppose 0 = d*p + p + 8. Sort -1, -3, p.
-3, p, -1
Let h = -8449/728221 - 1/4309. Let j = -185/1352 - h. Let b = -253.9 - -254. Sort 1/17, b, 1/5, j.
j, 1/17, b, 1/5
Suppose 0 = 432*d - 383*d - 490. Put d, -3, 4, 3, -2 in decreasing order.
d, 4, 3, -2, -3
Let n = 1834.9 - 1971. Let j = 136 + n. Put j, 2/11, 0.4, -2 in ascending order.
-2, j, 2/11, 0.4
Let r = -10 + 14. Let k = -0.13035 + 2.13035. Sort r, k, -4 in decreasing order.
r, k, -4
Let t = 14 + 0. Let r = t - 13.8. Let s = -22.37 - -24.37. Put r, s, 5, 3 in decreasing order.
5, 3, s, r
Let l = -715 + 691. Put -12, 5, l in decreasing order.
5, -12, l
Let u = 0 - -2. Let o = -114 - -168. Let j be (-11 + 1)*(-5 - o/(-10)). Put 4, j, u in increasing order.
j, u, 4
Let i = -8.26 + 0.26. Let z = -328 + 197. Let u = z + 128. Sort i, 6/7, u in descending order.
6/7, u, i
Let x = -4222 - -4219.8. Put x, 3/7, 7 in increasing order.
x, 3/7, 7
Let j = 8066 - 8070. Sort 2, -44, j, 4, 6 in ascending order.
-44, j, 2, 4, 6
Let o = -21 - -26. Let i = o - -1. Suppose 2*n = 14 - i. Sort n, 3, -5 in descending order.
n, 3, -5
Let s be 3/(-10)*-60*(-95)/456*4. Let i be 0 - (-2*1)/1. Let q = 1 - i. Sort q, 4, s in increasing order.
s, q, 4
Let r = -3.12 + 10.12. Sort -0.1, r, 25, -0.02 in decreasing order.
25, r, -0.02, -0.1
Let q = 4.355 - 4.455. Let r = -6 + 5.5. Sort r, 1, -3, q in increasing order.
-3, r, q, 1
Let u(b) = 32*b + 14. Let a be u(0). Suppose -a*y = 82 - 138. Put y, -6, 3 in ascending order.
-6, 3, y
Suppose 3*m = -2*a + 487, 6*a = m + 8*a - 157. Put m, -4, 1 in descending order.
m, 1, -4
Let b = 1 - -3. Suppose 5*j = -b*g + 9, 0 = -g + j + 4 + 5. Suppose -2*z + 14*x = 15*x - 3, 3*x - 9 = -5*z. Sort g, z, -2.
-2, z, g
Let y = 31 + -35. Let m be (-8)/4 - 2/y*14. Put -2, 76, m in decreasing order.
76, m, -2
Let k(o) = -o**3 - 8*o**2 + 3. Let r(i) = -i**2 + 3*i - 4. Let w be r(4). Let j be k(w). Let s = 6.9 + -2.9. Sort j, s, -3 in increasing order.
-3, j, s
Suppose -648*c + 71 = -577*c. Let d be ((-20)/8)/(4/40). Sort c, d, 4.
d, c, 4
Let b be 4 + 115/(-30) - (129/18 + -10). Let c = 40 + -95. Sort 4, c, b in descending order.
4, b, c
Let v be 13 + 205/123*(-78)/10. Sort -4137, 5, v in ascending order.
-4137, v, 5
Let c(z) = -2*z**3 - z**2 + 5*z + 2. Suppose -40*a = -30*a + 20. Let k be c(a). Put k, -2, -1, 1 in decreasing order.
k, 1, -1, -2
Let f = -0.7 + 0.3. Let n = 24128 - 361918/15. Put -10, f, n, 0 in increasing order.
-10, f, 0, n
Let b = -10 + 6. Let o = -464 - -473. Let q be o/(-108)*0*(-2 - -1). Put b, 4, q in increasing order.
b, q, 4
Let u = -0.22 - 0.08. Let k = 15.6 + -15.5. Sort 5/3, -10/3, u, k.
-10/3, u, k, 5/3
Suppose 0 = -l - 2, 5*r - 8*r + 2*l = 11. Let t = -49 + 49. Sort 3, r, t in ascending order.
r, t, 3
Let g = 10041 + -10033. Put g, -1.9, -3/7, 1 in increasing order.
-1.9, -3/7, 1, g
Suppose 0 = -3*r + 2*a - 122, -a = 2*r + 3*r + 186. Let x = -17 - r. Let w = 81/4 - x. Sort 1/7, -4, w.
-4, w, 1/7
Let a be (-63)/6*2/3 - (-25)/3. Sort -0.4, a, -0.05, 2/3, 5.
-0.4, -0.05, 2/3, a, 5
Suppose 13*b - 17*b = -h - 15, -5*b + 5*h = 0. Sort 14, 28, b in descending order.
28, 14, b
Let b = 7812 - 7820. Sort 3, b, 5, -13, -5 in decreasing order.
5, 3, -5, b, -13
Let a be 6/(-27) - (-50)/(-18). Let g = -68141 - -68145. Let n = 3 + -2. Sort a, -2, n, g in ascending order.
a, -2, n, g
Suppose 5*r = -9 - 1, -4*h = 5*r - 2. Suppose 0 = 7*o - 3*o + 5*s - 4, 0 = h*s. Let y = -7 + 6. Sort -4, y, o in increasing order.
-4, y, o
Let w(g) = g**3 + 11*g**2 - 4*g + 98. Suppose 505 = 3*n + 541. Let f be w(n). Let p = -22 - -16. Sort f, -3, p, 0 in decreasing order.
f, 0, -3, p
Let f = 759 + -439. Let m = f - 318. Sort 0.4, m, -4 in decreasing order.
m, 0.4, -4
Let f(m) = 21*m**2 - 8. Let r be f(2). Let y = 80 - r. Put y, -7, 3 in increasing order.
-7, 3, y
Let o = -8728/11 + 794. Let q = 320 - 316. Put 2/11, 0.5, q, o in increasing order.
2/11, 0.5, o, q
Suppose -5*v + 4*d - 81 = -0*v, -4*v - 72 = 4*d. Let p = 73301 - 3225513/44. Let b = 70/11 + p. Put v, b, 1/8 in ascending order.
v, 1/8, b
Let q = 0.915 - -421.085. Let k = q + -421. Sort -13, -1, k, -4 in descending order.
k, -1, -4, -13
Let g be 2/3*9840/2240. Let n = g + -439/126. Sort 1/4, -0.2, n in increasing order.
n, -0.2, 1/4
Let z = 6.646 - -0.774. Let c = z - 6.42. Sort -5, c, -4/7 in ascending order.
-5, -4/7, c
Let q = -26 + 19. Let g(n) = -n**2 - 7*n + 84. Let h be g(6). Sort q, 3, h in ascending order.
q, 3, h
Let k be 42/(-546)*2/16. Let c = -201/728 + k. Put -5, c, 0.07, -0.5 in increasing order.
-5, -0.5, c, 0.07
Let i(d) = d - 17. Let h be i(0). Let a be -1 + 10/15 + (-24)/9. Put -4, a, h in decreasing order.
a, -4, h
Suppose -1 = -u | {
"pile_set_name": "DM Mathematics"
} |
base 2?
-11
10 (base 6) to base 4
12
Convert -123 (base 9) to base 4.
-1212
What is -61 (base 11) in base 7?
-124
What is -14 (base 8) in base 6?
-20
11 (base 2) to base 16
3
What is 424 (base 5) in base 15?
79
What is 304 (base 6) in base 8?
160
Convert 2b (base 16) to base 9.
47
Convert -3 (base 10) to base 5.
-3
-31 (base 9) to base 14
-20
What is 100 (base 2) in base 7?
4
-211 (base 4) to base 12
-31
What is 3 (base 9) in base 3?
10
0 (base 3) to base 8
0
-1f (base 16) to base 5
-111
Convert 0 (base 11) to base 9.
0
Convert -10 (base 10) to base 15.
-a
0 (base 13) to base 7
0
-20 (base 3) to base 4
-12
Convert 117 (base 15) to base 4.
3313
Convert 2a (base 13) to base 3.
1100
17 (base 13) to base 4
110
Convert -2 (base 14) to base 7.
-2
Convert 10 (base 2) to base 9.
2
Convert 5 (base 8) to base 6.
5
What is -160 (base 7) in base 9?
-111
Convert -10 (base 16) to base 14.
-12
What is -1d (base 14) in base 13?
-21
What is 6 (base 12) in base 7?
6
-1 (base 4) to base 15
-1
-112 (base 3) to base 7
-20
What is -1000 (base 3) in base 9?
-30
What is 2a (base 11) in base 9?
35
What is 2111 (base 3) in base 2?
1000011
111 (base 3) to base 4
31
Convert 1210 (base 5) to base 6.
500
Convert 120 (base 6) to base 12.
40
Convert 9 (base 10) to base 9.
10
Convert 2 (base 16) to base 7.
2
What is 1 (base 5) in base 11?
1
135 (base 10) to base 16
87
27 (base 13) to base 6
53
What is -44 (base 5) in base 6?
-40
Convert 2 (base 8) to base 16.
2
27 (base 11) to base 6
45
1241 (base 5) to base 10
196
Convert 21 (base 5) to base 4.
23
What is b3 (base 16) in base 9?
218
-5 (base 10) to base 14
-5
Convert -5 (base 13) to base 7.
-5
What is 1 (base 15) in base 12?
1
Convert -30 (base 4) to base 16.
-c
Convert 2 (base 15) to base 14.
2
Convert -29 (base 13) to base 8.
-43
Convert 1011 (base 3) to base 12.
27
1231 (base 4) to base 11
9a
What is 1 (base 9) in base 6?
1
Convert -3 (base 10) to base 5.
-3
-1 (base 6) to base 10
-1
Convert -1001 (base 2) to base 6.
-13
What is 2 (base 5) in base 6?
2
What is 2 (base 10) in base 4?
2
11 (base 2) to base 16
3
4 (base 15) to base 12
4
Convert 134 (base 15) to base 2.
100010010
Convert 2000 (base 3) to base 7.
105
-2b (base 13) to base 14
-29
Convert -35 (base 6) to base 11.
-21
What is 28 (base 16) in base 3?
1111
-3 (base 13) to base 11
-3
2 (base 16) to base 2
10
19 (base 15) to base 5
44
Convert -11302 (base 4) to base 7.
-1036
Convert 62 (base 12) to base 11.
68
Convert -10 (base 3) to base 4.
-3
What is -10 (base 2) in base 10?
-2
Convert -25 (base 6) to base 16.
-11
What is 43 (base 7) in base 8?
37
What is -11 (base 11) in base 3?
-110
105 (base 7) to base 5
204
Convert 4 (base 16) to base 7.
4
-197 (base 11) to base 4
-3203
30 (base 10) to base 6
50
b (base 16) to base 13
b
3 (base 8) to base 9
3
Convert 11010111 (base 2) to base 7.
425
c8 (base 16) to base 6
532
Convert 1 (base 3) to base 15.
1
What is 0 (base 7) in base 5?
0
What is 6 (base 11) in base 4?
12
231 (base 4) to base 8
55
What is -10 (base 12) in base 2?
-1100
33 (base 15) to base 4
300
2 (base 4) to base 10
2
What is -1 (base 6) in base 2?
-1
What is -232 (base 7) in base 14?
-89
What is 10 (base 2) in base 12?
2
What is 1b (base 15) in base 13?
20
-d (base 14) to base 8
-15
What is -22 (base 11) in base 5?
-44
1 (base 11) to base 2
1
c (base 13) to base 6
20
-4 (base 5) to base 7
-4
20 (base 10) to base 5
40
-183 (base 15) to base 7
-1005
7b (base 16) to base 12
a3
-22 (base 3) to base 7
-11
What is -6 (base 15) in base 16?
-6
What is 4 (base 13) in base 11?
4
-34 (base 6) to base 2
-10110
Convert -15 (base 13) to base 3.
-200
Convert 30 (base 16) to base 6.
120
Convert 51 (base 11) to base 14.
40
What is -7 (base 11) in base 16?
-7
-1ab (base 14) to base 5
-2342
-75 (base 16) to base 13
-90
Convert 23 (base 7) to base 14.
13
What is 1110 (base 2) in base 3?
112
Convert -18 (base 14) to base 10.
-22
Convert -1 (base 9) to base 16.
-1
Convert -1232 (base 4) to base 3.
-11002
What is -11 (base 11) in base 12?
-10
Convert 0 (base 14) to base 6.
0
What is 58 (base 9) in base 15?
38
15 (base 7) to base 16
c
What is 1 (base 9) in base 6?
1
11 (base 4) to base 14
5
What is 0 (base 6) in base 3?
0
Convert 103 (base 4) to base 3.
201
What is a3 (base 12) in base 7?
234
-4 (base 8) to base 9
-4
What is 2203 (base 4) in base 11?
139
What is 6 (base 11) in base 8?
6
What is -3 (base 13) in base 15?
-3
-4 (base 6) to base 10
-4
What is -100110 (base 2) in base 5?
-123
Convert 123 (base 5) to base 7.
53
2 (base 4) to base 14
2
What is a (base 14) in base 13?
a
Convert 2 (base 11) to base 2.
10
-3 (base 4) to base 13
-3
-1 (base 4) to base 15
-1
-3 (base 7) to base 3
-10
-6 (base 12) to base 11
-6
What is -24 (base 5) in base 15?
-e
What is -21 (base 4) in base 14?
-9
5 (base 10) to base 3
12
Convert -20 (base 6) to base 12.
-10
-52 (base 11) to base 5
-212
What is -44 (base 7) in base 4?
-200
66 (base 13) to base 5
314
-34 (base 7) to base 5
-100
What is 1354 (base 6) in base 13?
217
Convert -10 (base 7) to base 3.
-21
-b0 (base 12) to base 11
-110
1001 (base 5) to base 2
1111110
What is 62 (base 8) in base 4?
302
26 (base 16) to base 2
100110
Convert 120 (base 4) to base 5.
44
What is 0 (base 6) in base 15?
0
Convert -20 (base 5) to base 3.
-101
Convert -3 (base 14) to base 7.
-3
What is 131 (base 4) in base 9?
32
-4 (base 11) to base 4
-10
What is 251 (base 13) in base 12?
298
-18 (base 15) to base 2
-10111
Convert d (base 15) to base 8.
15
Convert 647 (base 8) to base 9.
520
2114 (base 5) to base 12
1b8
Convert 26 (base 15) to base 13.
2a
What is -11 (base 3) in base 14?
-4
Convert -11 (base 3) to base 10.
-4
1010 (base 2) to base 7
13
201 (base 3) to base 13
16
Convert 2 (base 12) to base 7.
2
What is -4 (base 14) in base 11?
-4
-50 (base 15) to base 12
-63
What is 22 (base 3) in base 10?
8
What is -1 (base 11) in base 9?
-1
Convert 463 (base 7) to base 12.
181
What is -a (base 11) in base 2?
-1010
What is -2 (base 4) in base 2?
-10
What is 1 (base 14) in base 7?
1
-131 (base 7) to base 6
-155
63 (base 8) to base 7
102
What is 211 (base 5) in base 9?
62
165 (base 11) to base 3
21010
What is 11011 (base 2) in base 14?
1d
1d0 (base 14) to base 2
101111010
Convert 40 (base 9) to base 2.
100100
Convert 4 (base 9) to base 15.
4
Convert -9 (base 10) to base 16.
-9
100 (base 2) to base 5
4
Convert 11 (base 4) to base 6.
5
5 (base 10) to base 2
101
-1004 (base 6) to base 5
-1340
Convert -13 (base 10) to base 3.
-111
243 (base 5) to base 8
111
20 (base 9) to base 6
30
Convert -62 (base 12) to base 2.
-1001010
Convert -27 (base 12) to base 6.
-51
Convert 0 (base 5) to base 6.
0
-1000100 (base 2) to base 3
-2112
Convert 105 (base 8) to base 9.
76
Convert -4 (base 10) to base 14.
-4
Convert 1 (base 2) to base 16.
1
37 (base 11) to base 7
55
35 (base 9) to base 13
26
Convert -4 (base 5) to base 16.
-4
-2 (base 3) to base 16
-2
-2 (base 5) to base 15
-2
-22 (base 5) to base 2
-1100
7 (base 14) to base 16
7
What is 64 (base 12) in base 8?
114
What is 7 (base 10) in base 8?
7
What is -164 (base 7) in base 13?
-74
Convert 10 (base 11) to base 5.
21
1143 (base 5) to base 9
212
-11 (base 8) to base 10
-9
What is -4 (base 8) in base 11?
-4
100111 (base 2) to base 3
1110
Convert -1 (base 16) to base 12.
-1
5e (base 15) to base 7
155
Convert 2 (base 14) to base 16.
2
What is -4 (base 7) in base 15?
-4
What is -1220 (base 3) in base 11?
-47
-2 (base 8) to base 7
-2
What is 56 (base 12) in base 7?
123
Convert 1 (base 3) to base 9.
1
-2 (base 3) to base 9
-2
Convert 9a (base 14) to base 12.
b4
-4 (base 10) to base 5
-4
Convert 2d (base 16) to base 4.
231
-2 (base 6) to base 12
-2
What is 15 (base 11) in base 7?
22
What is -5 (base 13) in base 2?
-101
Convert 2 (base 3) to base 11.
2
-255 (base 7) to base 14
-9c
Convert -133 (base 8) to base 11.
-83
Convert -1 (base 16) to base 8.
-1
Convert 7 (base 15) to base 9.
7
What is -3 (base 14) in base 3?
-10
What is 22 (base 12) in base 10?
26
Convert -211 (base 4) to base 15.
-27
1 (base 13) to base 4
1
What is -202 (base 3) in base 7?
-26
0 (base 13) to base 16
0
Convert -4 (base 11) to base 9.
-4
What is 3 (base 8) in base 15?
3
What is 42 (base 8) in base 12?
2a
What is 56 (base 8) in base 9?
51
What is 1a (base 11) in base 5?
41
C | {
"pile_set_name": "DM Mathematics"
} |
sequence gt?
1/12
Two letters picked without replacement from uvirtunir. Give prob of sequence it.
1/36
Three letters picked without replacement from reekzsvr. What is prob of sequence zse?
1/168
Calculate prob of sequence utu when three letters picked without replacement from tuug.
1/12
Three letters picked without replacement from fcfooocco. Give prob of sequence fco.
1/21
What is prob of sequence mmn when three letters picked without replacement from {h: 1, n: 2, m: 2}?
1/15
What is prob of sequence hlpp when four letters picked without replacement from {l: 1, z: 1, h: 2, p: 2}?
1/90
Two letters picked without replacement from {l: 1, c: 1, a: 2, f: 1, s: 1, y: 1}. Give prob of sequence aa.
1/21
Three letters picked without replacement from {h: 13, u: 6}. Give prob of sequence uuh.
65/969
What is prob of sequence os when two letters picked without replacement from {j: 2, s: 2, o: 6, l: 2}?
1/11
What is prob of sequence dlrd when four letters picked without replacement from {s: 5, l: 1, r: 3, d: 3}?
1/660
Four letters picked without replacement from jiiciikc. What is prob of sequence kjci?
1/210
Four letters picked without replacement from {c: 2, x: 4, i: 3, h: 1}. What is prob of sequence hcic?
1/840
Calculate prob of sequence ko when two letters picked without replacement from oopwkckppcwpkppckp.
4/153
Three letters picked without replacement from lgbbg. What is prob of sequence blb?
1/30
Two letters picked without replacement from gkgwqsq. Give prob of sequence kq.
1/21
What is prob of sequence vy when two letters picked without replacement from yzeyyyeyvyevvzyyz?
3/34
Four letters picked without replacement from {c: 6, h: 1, p: 1, g: 1}. What is prob of sequence gphg?
0
What is prob of sequence ene when three letters picked without replacement from {n: 2, e: 18}?
17/190
Three letters picked without replacement from {s: 2, v: 2, t: 3, y: 3, m: 1, l: 1}. What is prob of sequence mst?
1/220
Four letters picked without replacement from {r: 3, z: 7, q: 1, g: 3}. Give prob of sequence zgzz.
15/572
Calculate prob of sequence ww when two letters picked without replacement from {w: 2, o: 1, j: 1, i: 1, s: 2, d: 1}.
1/28
Four letters picked without replacement from {w: 1, z: 1, e: 3, p: 1, f: 2, n: 4}. What is prob of sequence wnpf?
1/1485
Calculate prob of sequence ko when two letters picked without replacement from hobhvekev.
1/72
What is prob of sequence rq when two letters picked without replacement from qyrrybrbbyqybrqy?
1/20
Two letters picked without replacement from xpxcaur. Give prob of sequence ur.
1/42
Calculate prob of sequence rubj when four letters picked without replacement from {r: 1, u: 2, b: 1, j: 1}.
1/60
Two letters picked without replacement from {c: 2, m: 4, k: 2}. Give prob of sequence mm.
3/14
Three letters picked without replacement from {n: 2, h: 3, l: 3}. Give prob of sequence hnh.
1/28
Two letters picked without replacement from tdtodvm. Give prob of sequence vm.
1/42
Two letters picked without replacement from {m: 1, n: 9, h: 6, v: 3}. What is prob of sequence vm?
1/114
Three letters picked without replacement from {t: 1, c: 3, l: 1, r: 1, h: 5}. What is prob of sequence hrh?
2/99
Calculate prob of sequence gmuo when four letters picked without replacement from {u: 1, g: 1, o: 3, m: 1, w: 1}.
1/280
Four letters picked without replacement from ssqqsxsxqqqsavqbqqsv. Give prob of sequence baxq.
2/14535
What is prob of sequence my when two letters picked without replacement from mymyyyyy?
3/14
Calculate prob of sequence ii when two letters picked without replacement from {r: 9, i: 4, o: 1}.
6/91
Calculate prob of sequence ri when two letters picked without replacement from wivcr.
1/20
Three letters picked without replacement from vvvvvvvvvvdvvvvvvvv. Give prob of sequence dvv.
1/19
What is prob of sequence qqqq when four letters picked without replacement from {q: 6}?
1
Calculate prob of sequence oul when three letters picked without replacement from {l: 3, o: 2, m: 1, e: 3, u: 4, c: 2}.
4/455
Three letters picked without replacement from {z: 3, c: 3, f: 1, v: 1, r: 2, k: 1}. What is prob of sequence fzv?
1/330
Two letters picked without replacement from vgtuvrx. What is prob of sequence xu?
1/42
What is prob of sequence ggog when four letters picked without replacement from {g: 11, o: 1}?
1/12
What is prob of sequence xo when two letters picked without replacement from {t: 2, w: 3, o: 1, d: 3, j: 3, x: 4}?
1/60
What is prob of sequence jxjx when four letters picked without replacement from {x: 14, j: 5}?
455/11628
What is prob of sequence oo when two letters picked without replacement from {y: 7, o: 2}?
1/36
What is prob of sequence kgg when three letters picked without replacement from {k: 7, b: 2, z: 5, j: 1, g: 3}?
7/816
What is prob of sequence qcrq when four letters picked without replacement from {q: 7, c: 2, r: 6}?
1/65
Three letters picked without replacement from {q: 2, c: 1, i: 7, f: 1, h: 4}. What is prob of sequence qch?
4/1365
What is prob of sequence tj when two letters picked without replacement from {k: 3, t: 3, j: 1, x: 1, u: 3}?
3/110
Calculate prob of sequence kki when three letters picked without replacement from ikekfiiiikkkkx.
25/364
Calculate prob of sequence eyen when four letters picked without replacement from {y: 3, f: 2, n: 1, e: 9, d: 4}.
3/1292
Calculate prob of sequence mkk when three letters picked without replacement from ffffkmmfkm.
1/120
What is prob of sequence vbwl when four letters picked without replacement from {w: 2, l: 1, o: 1, b: 2, v: 1}?
1/210
What is prob of sequence kd when two letters picked without replacement from {h: 2, b: 1, d: 4, k: 7, l: 1}?
2/15
Two letters picked without replacement from {p: 12, h: 1, g: 3, b: 1, t: 2}. What is prob of sequence tg?
1/57
What is prob of sequence seq when three letters picked without replacement from sqweo?
1/60
What is prob of sequence qqp when three letters picked without replacement from kqppq?
1/15
Three letters picked without replacement from {w: 3, t: 2, r: 2, v: 3, o: 1, f: 1}. Give prob of sequence owv.
3/440
What is prob of sequence zm when two letters picked without replacement from {z: 5, m: 1, i: 14}?
1/76
What is prob of sequence rf when two letters picked without replacement from {v: 1, l: 1, r: 6, f: 1, b: 1, p: 1}?
3/55
Calculate prob of sequence dwd when three letters picked without replacement from {d: 3, w: 3}.
3/20
Calculate prob of sequence lz when two letters picked without replacement from {l: 3, d: 4, s: 1, h: 2, n: 6, z: 3}.
1/38
Calculate prob of sequence bbbb when four letters picked without replacement from bbbbbbb.
1
What is prob of sequence mrbe when four letters picked without replacement from {e: 4, w: 4, b: 1, m: 1, r: 3, q: 6}?
1/7752
What is prob of sequence uwi when three letters picked without replacement from {u: 7, w: 2, i: 1, n: 2}?
7/660
Four letters picked without replacement from {g: 2, c: 1, r: 2}. What is prob of sequence ggrg?
0
Calculate prob of sequence llo when three letters picked without replacement from {l: 2, o: 2}.
1/6
What is prob of sequence fmmm when four letters picked without replacement from {f: 4, a: 7, m: 7}?
7/612
Calculate prob of sequence kxkl when four letters picked without replacement from kkklxpkxllkklkxlxxkk.
5/323
Two letters picked without replacement from xqnjxxqxjxqxqnbj. What is prob of sequence bj?
1/80
Calculate prob of sequence qqdd when four letters picked without replacement from {d: 5, q: 13}.
13/306
What is prob of sequence rwr when three letters picked without replacement from {w: 8, b: 2, r: 4, a: 1}?
16/455
Four letters picked without replacement from xxgxnxxxnx. Give prob of sequence gxnn.
1/360
Four letters picked without replacement from ppppff. What is prob of sequence pfpp?
2/15
Four letters picked without replacement from {h: 2, j: 2, s: 8}. What is prob of sequence jjsh?
4/1485
Four letters picked without replacement from jttvgvvvwqqqvqt. What is prob of sequence qtwg?
1/2730
Two letters picked without replacement from adia. What is prob of sequence ad?
1/6
Two letters picked without replacement from {x: 8, y: 5}. What is prob of sequence yy?
5/39
What is prob of sequence yqdp when four letters picked without replacement from {d: 2, p: 2, n | {
"pile_set_name": "DM Mathematics"
} |
*t**2 - 6794*t - 5739
What is the p'th term of -19652, -78564, -176746, -314198?
-19635*p**2 - 7*p - 10
What is the m'th term of 28476848, 56953674, 85430498, 113907320, 142384140, 170860958, 199337774?
-m**2 + 28476829*m + 20
What is the c'th term of -726280, -1452551, -2178822?
-726271*c - 9
What is the p'th term of 1708690, 3417326, 5125962, 6834598?
1708636*p + 54
What is the u'th term of -3097, -6236, -9375?
-3139*u + 42
What is the v'th term of -1140606, -2281267, -3421914, -4562541, -5703142, -6843711, -7984242?
v**3 + v**2 - 1140671*v + 63
What is the l'th term of 32260, 33463, 34666, 35869, 37072?
1203*l + 31057
What is the t'th term of -3808, -1676, 4128, 15446, 34120?
307*t**3 - 6*t**2 + t - 4110
What is the t'th term of -1798005, -1797872, -1797739, -1797606, -1797473, -1797340?
133*t - 1798138
What is the c'th term of -154503, -310165, -466989, -624975, -784123, -944433, -1105905?
-581*c**2 - 153919*c - 3
What is the q'th term of 1497, 2947, 4285, 5511, 6625, 7627, 8517?
-56*q**2 + 1618*q - 65
What is the d'th term of 113, 418, 1133, 2426, 4465, 7418, 11453?
28*d**3 + 37*d**2 - 2*d + 50
What is the a'th term of 280804, 561620, 842448, 1123294, 1404164, 1685064?
a**3 + 280809*a - 6
What is the p'th term of -727, -2109, -3473, -4819, -6147, -7457, -8749?
9*p**2 - 1409*p + 673
What is the k'th term of -21645610, -21645613, -21645616, -21645619, -21645622, -21645625?
-3*k - 21645607
What is the y'th term of -44926, -179711, -404354, -718855, -1123214?
-44929*y**2 + 2*y + 1
What is the p'th term of -339280, -339425, -339570, -339715, -339860?
-145*p - 339135
What is the p'th term of 526327, 1052718, 1579109?
526391*p - 64
What is the b'th term of 147252, 145040, 141364, 136230, 129644, 121612?
b**3 - 738*b**2 - 5*b + 147994
What is the y'th term of -4463805, -4463808, -4463811?
-3*y - 4463802
What is the n'th term of 641, 748, 935, 1202?
40*n**2 - 13*n + 614
What is the w'th term of 3199, 3360, 3619, 3970, 4407?
-w**3 + 55*w**2 + 3*w + 3142
What is the i'th term of -846, -6444, -21758, -51684, -101118, -174956?
-816*i**3 + 38*i**2 - 68
What is the a'th term of -1646801, -1646789, -1646767, -1646729, -1646669, -1646581, -1646459, -1646297?
a**3 - a**2 + 8*a - 1646809
What is the q'th term of -5936, -12075, -18218, -24365, -30516?
-2*q**2 - 6133*q + 199
What is the u'th term of -599219, -1198836, -1798453, -2398070, -2997687, -3597304?
-599617*u + 398
What is the h'th term of 40736, 40656, 40584, 40526, 40488, 40476?
h**3 - 2*h**2 - 81*h + 40818
What is the z'th term of 1253, 2273, 3259, 4205, 5105, 5953?
-z**3 - 11*z**2 + 1060*z + 205
What is the h'th term of 588082, 1176340, 1764770, 2353372, 2942146, 3531092?
86*h**2 + 588000*h - 4
What is the w'th term of -4064, -16430, -37082, -66050, -103364, -149054, -203150, -265682?
-5*w**3 - 4113*w**2 + 8*w + 46
What is the t'th term of -1602860, -3205427, -4807994?
-1602567*t - 293
What is the q'th term of -68856, -273859, -615530, -1093869, -1708876, -2460551, -3348894?
-68334*q**2 - q - 521
What is the u'th term of 1638031, 3276044, 4914057?
1638013*u + 18
What is the b'th term of -3336926, -3336942, -3336962, -3336986, -3337014, -3337046, -3337082?
-2*b**2 - 10*b - 3336914
What is the m'th term of -730999, -730527, -729741, -728641, -727227, -725499?
157*m**2 + m - 731157
What is the r'th term of -54, -181, -564, -1347, -2674, -4689, -7536, -11359?
-24*r**3 + 16*r**2 - 7*r - 39
What is the m'th term of -955101, -1910278, -2865541, -3820890?
-43*m**2 - 955048*m - 10
What is the z'th term of -52503, -55288, -59929, -66426, -74779, -84988, -97053?
-928*z**2 - z - 51574
What is the b'th term of 155189, 155011, 154833?
-178*b + 155367
What is the b'th term of 1436564, 1436498, 1436432, 1436366, 1436300, 1436234?
-66*b + 1436630
What is the p'th term of -637270, -637269, -637268, -637267, -637266?
p - 637271
What is the s'th term of 2163092, 8652353, 19467788, 34609397, 54077180?
2163087*s**2 + 5
What is the r'th term of 3524, 4528, 5532, 6536, 7540?
1004*r + 2520
What is the i'th term of 1783, 3706, 5785, 8020, 10411, 12958, 15661?
78*i**2 + 1689*i + 16
What is the q'th term of -1148339, -1148381, -1148423, -1148465, -1148507, -1148549?
-42*q - 1148297
What is the v'th term of -952194, -3808772, -8569740, -15235104, -23804870, -34279044, -46657632, -60940640?
-v**3 - 952189*v**2 - 4*v
What is the a'th term of 12203967, 48815870, 109835709, 195263484, 305099195?
12203968*a**2 - a
What is the d'th term of -13048236, -13048239, -13048244, -13048251, -13048260?
-d**2 - 13048235
What is the r'th term of -14106758, -28213521, -42320284, -56427047, -70533810?
-14106763*r + 5
What is the g'th term of -179398080, -179398083, -179398088, -179398095, -179398104?
-g**2 - 179398079
What is the f'th term of -139310, -139258, -139178, -139076, -138958, -138830, -138698?
-f**3 + 20*f**2 - f - 139328
What is the m'th term of -106, 993, 3986, 9821, 19446, 33809, 53858?
158*m**3 - m**2 - 4*m - 259
What is the c'th term of -1076, -6524, -21356, -50264, -97940, -169076?
-782*c**3 + 26*c - 320
What is the f'th term of -780631, -780626, -780621, -780616, -780611, -780606?
5*f - 780636
What is the d'th term of -6452, -18394, -35798, -58664?
-2731*d**2 - 3749*d + 28
What is the g'th term of -43222, -42381, -41538, -40693, -39846?
g**2 + 838*g - 44061
What is the q'th term of 627530, 627525, 627540, 627593, 627702, 627885, 628160, 628545?
3*q**3 - 8*q**2 - 2*q + 627537
What is the m'th term of 1388, 6454, 16496, 32822, 56740, 89558?
218*m**3 + 1180*m**2 - 10
What is the k'th term of 14527, 14785, 15043, 15301?
258*k + 14269
What is the s'th term of 122116, 975972, 3293310, 7805872, 15245400, 26343636, 41832322?
121957*s**3 - s**2 + 160*s
What is the g'th term of -6108, -12349, -18900, -25917, -33556, -41973, -51324, -61765?
-26*g**3 + g**2 - 6062*g - 21
What is the i'th term of -687, -3542, -6397, -9252?
-2855*i + 2168
What is the a'th term of -116704, -232821, -348938, -465055?
-116117*a - 587
What is the x'th term of 74934, 74947, 74964, 74985, 75010, 75039?
2*x**2 + 7*x + 74925
What is the l'th term of 3160, 3584, 4264, 5194, 6368, 7780?
-l**3 + 134*l**2 + 29*l + 2998
What is the p'th term of 314296159, 314296161, 314296163, 314296165, 314296167, 314296169?
2*p + 314296157
What is the q'th term of -9451626, -18903345, -28355064?
-9451719*q + 93
What is the w'th term of -8559, -68505, -231233, -548133, -1070595?
-8565*w**3 - w**2 + 12*w - 5
What is the i'th term of 6701, 27104, 61211, 109028, 170561, 245816, 334799?
i**3 + 6846*i**2 - 142*i - 4
What is the s'th term of -395, -1567, -3605, -6509, -10279?
-433*s**2 + 127*s - 89
What is the c'th term of 3523, 7105, 13081, 21451, 32215, 45373, 60925?
1197*c**2 - 9*c + 2335
What is the p'th term of 919900, 1839785, 2759656, 3679513, 4599356, 5519185?
-7*p**2 + 919906*p + 1
What is the i'th term of -751398, -751387, -751368, -751341, -751306, -751263, -751212?
4*i**2 - i - 751401
What is the w'th term of 6785, 13402, 19853, 26132, 32233, 38150, 43877?
-w**3 - 77*w**2 + 6855*w + 8
What is the r'th term of -33417, -267792, -904071, -2143206, -4186149, -7233852, -11487267?
-33492*r**3 + 69*r + 6
What is the z'th term of 170779, 170797, 170815, 170833?
18*z + 170761
What is the z'th term of -14398, -15273, -16156, -17047, -17946?
-4*z**2 - 863*z - 13531
What is the r'th term of 58217, 59902, 62711, 66644, 71701, 77882, 85187?
562*r**2 - r + 57656
What is the a'th term of -258159, -516330, -774505, -1032684, -1290867?
-2*a**2 - 258165*a + 8
What is the s'th term of -14388, -28639, -42842, -56997, -71104, -85163, -99174?
24*s**2 - 14323*s - 89
What is the d'th term of -4588149, -9176302, -13764455, -18352608?
-4588153*d + 4
What is the k'th term of 1441, 1492, 1509, 1492, 1441, 1356?
-17*k**2 + 102*k + 1356
What is the r'th term of 36824, 77248, 117686, 158144, 198628, 239144, 279698?
r**3 + r**2 + 40414*r - 3592
What is the j'th term of 100210, 400854, 901928, 1603432, 2505366, 3607730?
100215*j**2 - j - 4
What is the n'th term of 2160, 4684, 7576, 10836?
184*n**2 + 1972*n + 4
What is the v'th term of 48116, 385138, 1299912, 3081314, 6018220?
48146*v**3 - 30
What is the t'th term of 9301, 74630, 251927, 597166, 1166321, 2015366, 3200275?
9329*t**3 + 10*t**2 - 4*t - 34
What i | {
"pile_set_name": "DM Mathematics"
} |
-58, -95, -142?
-199
What is the next term in 23, 16, 9, 2, -5, -12?
-19
What comes next: -65, -63, -61?
-59
What is the next term in 47, 80, 113, 146?
179
What comes next: -110, -142, -186, -248, -334?
-450
What is next in 485, 498, 539, 620, 753, 950?
1223
What is next in -388, -379, -364, -343, -316, -283?
-244
What is next in 8, 69, 176, 335, 552, 833, 1184, 1611?
2120
What is next in 5285, 5286, 5287, 5288?
5289
What is next in 41, 147, 335, 611, 981, 1451?
2027
What is the next term in 438, 437, 434, 429, 422, 413?
402
What is next in 1775, 1773, 1771, 1769, 1767?
1765
What is the next term in -1269, -2525, -3781, -5037, -6293?
-7549
What comes next: 28, 65, 90, 103, 104?
93
What comes next: 140, 280, 420?
560
What comes next: 57, 53, 37, 3, -55, -143, -267, -433?
-647
What comes next: -282, -1121, -2518, -4473?
-6986
What is next in -12, -70, -234, -558, -1096, -1902?
-3030
What is the next term in 2769, 11064, 24889, 44244, 69129, 99544?
135489
What is the next term in 76, 90, 120, 172, 252, 366, 520, 720?
972
What is the next term in 885, 1752, 2619?
3486
What is the next term in -30, -36, -42, -48?
-54
What is next in -28, -83, -172, -295?
-452
What is next in -99, -393, -899, -1629, -2595, -3809, -5283, -7029?
-9059
What is next in 164, 661, 1490, 2651, 4144?
5969
What is next in 1, 30, 101, 232, 441, 746?
1165
What comes next: -126, -252, -378, -504, -630, -756?
-882
What comes next: 27, 20, -1, -42, -109, -208, -345, -526?
-757
What is next in -3682, -3706, -3752, -3826, -3934, -4082?
-4276
What is the next term in -493, -742, -989, -1234, -1477, -1718, -1957?
-2194
What is the next term in -16, -2, 32, 98, 208?
374
What comes next: -4, -42, -138, -322, -624, -1074, -1702?
-2538
What comes next: 38, 67, 96, 125, 154?
183
What is the next term in -225, -224, -223?
-222
What is next in -18, -25, -38, -57, -82?
-113
What is the next term in -335, -348, -369, -398, -435?
-480
What is the next term in -43, -85, -125, -163, -199, -233?
-265
What is next in -7, -8, -7, -4?
1
What is the next term in 3, 4, 5, 6, 7, 8?
9
What is the next term in -9967, -9966, -9965?
-9964
What comes next: 30, 51, 72, 93, 114, 135?
156
What is next in -451, -450, -439, -412, -363?
-286
What is next in -907, -908, -909, -910, -911, -912?
-913
What is next in 103, 98, 95, 100, 119, 158?
223
What is next in 2383, 4771, 7159?
9547
What comes next: -13, -110, -373, -886, -1733, -2998, -4765?
-7118
What is next in 945, 1892, 2841, 3792, 4745, 5700, 6657?
7616
What is next in -35, -61, -101, -161, -247?
-365
What is the next term in -388, -385, -378, -367, -352, -333?
-310
What is the next term in 240, 253, 274, 303, 340, 385, 438?
499
What is the next term in 94, 100, 106, 112?
118
What comes next: 87, 148, 209, 270, 331, 392?
453
What comes next: 40, 91, 150, 223, 316, 435?
586
What is the next term in 3699, 3686, 3673, 3660, 3647, 3634?
3621
What comes next: 12, 30, 50, 72, 96?
122
What is next in -1018, -2035, -3052, -4069, -5086, -6103?
-7120
What is the next term in -336, -344, -352, -360, -368, -376?
-384
What comes next: -296, -605, -914, -1223, -1532, -1841?
-2150
What is next in 37, -26, -131, -278, -467?
-698
What comes next: 1789, 3577, 5365, 7153?
8941
What is next in 8, 26, 70, 152, 284, 478?
746
What comes next: -3, -25, -69, -141, -247, -393, -585, -829?
-1131
What comes next: -116, -281, -442, -599, -752, -901?
-1046
What comes next: 363, 360, 345, 312, 255, 168?
45
What comes next: 98, 381, 852, 1511, 2358?
3393
What is the next term in 21, 22, 35, 66, 121?
206
What is next in 59421, 59420, 59419, 59418?
59417
What comes next: 10, 23, 44, 73?
110
What is the next term in -291, -293, -295, -297?
-299
What is the next term in 2, -41, -112, -211, -338, -493?
-676
What comes next: 22, 3, -32, -89, -174, -293?
-452
What comes next: 37, 36, 35, 34?
33
What is the next term in 6157, 12316, 18475, 24634?
30793
What is next in -141, -286, -429, -570, -709, -846, -981?
-1114
What is the next term in 1626, 1624, 1620, 1614, 1606, 1596, 1584?
1570
What is the next term in -13, 35, 157, 389, 767, 1327?
2105
What is next in 7, 56, 139, 256, 407, 592, 811?
1064
What is the next term in -832, -831, -830?
-829
What comes next: -2270, -4543, -6816, -9089, -11362, -13635?
-15908
What comes next: -169, -166, -173, -196, -241, -314?
-421
What comes next: -21, -42, -65, -90, -117, -146, -177?
-210
What is next in 32, 111, 242, 425?
660
What is next in -191, -194, -199, -206?
-215
What is next in -5, -24, -55, -98, -153, -220?
-299
What is the next term in 6462, 12925, 19388?
25851
What is the next term in 46, 89, 132, 175, 218?
261
What is the next term in 34, 62, 100, 154, 230, 334, 472?
650
What comes next: 26, 36, 56, 92, 150, 236, 356?
516
What is the next term in -618, -616, -614, -612, -610, -608?
-606
What comes next: 31, 129, 293, 523, 819, 1181, 1609?
2103
What comes next: 5138, 5144, 5162, 5198, 5258, 5348, 5474, 5642?
5858
What comes next: -6139, -12280, -18421?
-24562
What is the next term in -30, -61, -106, -171, -262, -385?
-546
What is next in -317, -273, -217, -143, -45, 83?
247
What is next in 8, 2, -4, -10?
-16
What is next in 31, 13, -31, -107, -221, -379?
-587
What comes next: 6054, 6053, 6052, 6051, 6050, 6049?
6048
What is the next term in -321, -320, -319, -318?
-317
What is the next term in 55, 91, 127?
163
What is next in 1031, 1032, 1033, 1034, 1035?
1036
What is next in 5195, 5196, 5197, 5198?
5199
What comes next: -1608, -3214, -4820?
-6426
What is next in -18, 81, 358, 903, 1806, 3157, 5046?
7563
What is next in 100, 109, 128, 163, 220, 305, 424?
583
What is the next term in 76, 184, 482, 1066, 2032, 3476, 5494, 8182?
11636
What is the next term in 1442, 2881, 4320, 5759?
7198
What is the next term in -21962, -21959, -21954, -21947, -21938, -21927?
-21914
What is next in 3, 15, 35, 63, 99?
143
What comes next: 485, 484, 483, 482, 481, 480?
479
What is next in 60, 75, 100, 135?
180
What comes next: -22, -46, -72, -94, -106, -102, -76?
-22
What is the next term in 71, 278, 615, 1076, 1655, 2346, 3143, 4040?
5031
What comes next: -9, -33, -103, -243, -477, -829, -1323, -1983?
-2833
What is the next term in 17, 15, 21, 41, 81, 147, 245?
381
What is next in 61, 272, 625, 1120, 1757, 2536, 3457?
4520
What is the next term in -10, -36, -78, -136?
-210
What is the next term in -2, -9, -16, -23, -30, -37?
-44
What is the next term in -19, -88, -203, -364, -571?
-824
What is the next term in 1106, 1104, 1102, 1100, 1098, 1096?
1094
What is the next term in 444, 876, 1308, 1740, 2172, 2604?
3036
What comes next: 55, 136, 219, 304?
391
What is the next term in -253, -509, -765, -1021, -1277, -1533?
-1789
What is the next term in -96, -189, -282, -375?
-468
What comes next: 493, 1893, 4233, 7519, 11757, 16953, 23113?
30243
What is next in -33, -112, -239, -414, -637, -908, -1227?
-1594
What is next in 15547, 15545, 15543?
15541
What is the next term in -1, -4, -3, 2?
11
What comes next: -235, -473, -711?
-949
What is next in 11, 17, -11, -91, -241, -479?
-823
What is next in 2496, 4993, 7494, 9999, 12508, 15021, 17538?
20059
What is next in 61, 261, 597, 1069, 1677, 2421?
3301
What is next in -299, -304, -309, -314?
-319
What is the next term in 484, 950, 1404, 1840, 2252, 2634, 2980, 3284?
3540
What comes next: -12, -18, -24?
-30
What is the next term in -432, -437, -446, -459, -476, -497?
-522
What is the next term in 3377, 3375, 3373, 3371, 3369?
3367
What is the next term in 36, 68, 130, 228, 368, 556, 798, 1100?
1468
What is next in 26, 106, 242, 434, 682, 986?
1346
What is next in 187, 186, 185, 184, 183?
182
What comes next: 265, 258, 251, 244, 237, 230?
223
What is the next term in -54, -58, -68, -90, -130, -194, -288?
-418
What is the next term in 1193, 2387, 3581?
4775
What comes next: 143, 118, 77, 20, -53, -142?
-247
What comes next: -190, -1626, -5522, -13108, -25614, -44270?
-70306
What comes next: 308, 304, 292, 266, 220, 148?
44
What is the next term in 88, 165, 242, 319?
396
What is next in -201, -434, -681, -948, -1241, -1566?
-1929
What is next in -6806, -6805, -6802, -6797, -6790, -6781?
-6770
What is next in 153, 154, 155, 156, 157, 158?
159
What is the next term in 420, 421, 422, 423, 424?
425
What is the next term in 78, 59, | {
"pile_set_name": "DM Mathematics"
} |
+ -27. Let u be (1 - (0 - p))*-40. Factor u - 7*z**2 - 17*z - 32*z + 9*z + 12*z**2.
5*(z - 4)**2
Solve 867 - 17*s + 6*s**2 + 118*s - 3*s**2 + s = 0.
-17
Let m be (20/(-15))/(2/(-3)). Suppose -m*f + 2*f = f. Determine w, given that -1/2*w**2 + f - 1/2*w = 0.
-1, 0
Let d(z) be the second derivative of -z**6/1620 + z**5/108 - z**4/18 - 13*z**3/6 + 21*z. Let k(g) be the second derivative of d(g). Solve k(c) = 0.
2, 3
Suppose -33*t - 89*t + 282 - 38 = 0. Factor -32/5*y - 4/5*y**4 + 4*y**3 - 8/5*y**t + 0.
-4*y*(y - 4)*(y - 2)*(y + 1)/5
Let s(a) = -a**4 + 3*a**2 - 26*a + 18. Let b(i) = 3*i**4 - i**3 - 9*i**2 + 77*i - 53. Let w(o) = -6*b(o) - 17*s(o). Factor w(v).
-(v - 6)*(v - 1)**2*(v + 2)
Let p(l) be the third derivative of -7/30*l**6 - 11/21*l**7 + 0*l - 25/168*l**8 - 22*l**2 + 3*l**3 + 13/4*l**4 + 23/15*l**5 + 0. Let p(i) = 0. Calculate i.
-1, -3/5, 1
Let w(x) be the third derivative of 0*x + 4/35*x**7 + 1/8*x**6 + 0*x**4 + 0 + 0*x**3 - 17*x**2 + 1/20*x**5 + 1/28*x**8. Factor w(m).
3*m**2*(m + 1)*(2*m + 1)**2
Let d = -32 + 52. Suppose -3 + 40*c - 30*c**3 - 4 - 10*c**5 - d*c**2 - 8 + 35*c**4 = 0. Calculate c.
-1, 1, 3/2
Let u be (-1)/(-5) - (-98)/35. Factor 3*r**4 + r**4 + r**3 - 13*r + 11*r**u - 3*r.
4*r*(r - 1)*(r + 2)**2
Let s(m) be the third derivative of -m**6/420 + 2*m**5/105 - 26*m**2 + m. Factor s(l).
-2*l**2*(l - 4)/7
Let k(b) be the second derivative of 0 - 16*b + 2/5*b**4 + 8/25*b**5 + 1/5*b**3 + 1/20*b**2. Suppose k(q) = 0. Calculate q.
-1/4
Let k(n) be the second derivative of -n**4/6 - 2*n**3/3 - n**2 + 68*n. Factor k(b).
-2*(b + 1)**2
Let w(r) be the third derivative of 2*r**7/105 + 4*r**6/15 + 7*r**5/5 + 3*r**4 - 203*r**2. Find a such that w(a) = 0.
-3, -2, 0
Let u = 13263 - 13261. Let 4/11*h + 0 - 2/11*h**u = 0. What is h?
0, 2
Let m(c) be the first derivative of c**6/360 - c**4/24 - 14*c**3/3 + 6. Let s(w) be the third derivative of m(w). Factor s(i).
(i - 1)*(i + 1)
Suppose t - 6 = -3*s, 37*s = 36*s. Let m(p) be the second derivative of 0*p**4 - 1/28*p**7 + 0*p**2 - 3/80*p**5 - 3/40*p**t + 0*p**3 + p + 0. Factor m(d).
-3*d**3*(d + 1)*(2*d + 1)/4
Factor 1/9*h**3 + 5/9*h**2 - 14/9*h + 0.
h*(h - 2)*(h + 7)/9
Let q(x) = 4*x**3 + x**2 + x + 1. Let k(w) = -33*w**3 + 186*w**2 + 129*w - 72. Let s(c) = -k(c) - 6*q(c). What is y in s(y) = 0?
-1, 1/3, 22
Let q(u) be the second derivative of -u**5/30 - 5*u**4/9 - 17*u**3/9 - 8*u**2/3 - 612*u. What is g in q(g) = 0?
-8, -1
Suppose -2*j - 29 = -9. Let i = j - -14. Factor -m**2 - i*m**2 + 2*m**2.
-3*m**2
Let b(v) be the third derivative of 0*v**3 + 0*v + 0 + 0*v**4 + 1/315*v**7 + 0*v**5 - 1/360*v**6 - 46*v**2 - 1/1008*v**8. Solve b(h) = 0.
0, 1
Let 126/5*h + 0 + 3/5*h**3 - 69/5*h**2 = 0. What is h?
0, 2, 21
Let q(w) be the third derivative of 10*w**2 + 0 + 1/360*w**6 + 0*w + 0*w**3 + 0*w**4 - 1/1260*w**7 - 1/360*w**5. Suppose q(j) = 0. What is j?
0, 1
Let i(t) = 55*t**2 - 69*t + 6. Let x(f) = -110*f**2 + 139*f - 11. Let p = 29 + -25. Let j(d) = p*x(d) + 9*i(d). Determine y, given that j(y) = 0.
2/11, 1
Let z(w) be the first derivative of w**6/48 - 7*w**5/40 - w**4/32 + 7*w**3/24 + 221. Suppose z(g) = 0. Calculate g.
-1, 0, 1, 7
Find d such that -3*d**2 - d - 13*d**2 + 2 - 5*d**5 - 11*d**3 - 6 + 17*d + 3*d**2 + 17*d**4 = 0.
-1, 2/5, 1, 2
Find w such that 55*w**2 - 4*w**3 + 3222*w + 33*w**2 - 4*w**4 - 3062*w = 0.
-4, -2, 0, 5
Let m(a) = -4*a**2 - 2*a + 168. Let v(x) = 12*x**2 + 9*x - 504. Let i(y) = -7*m(y) - 2*v(y). Factor i(j).
4*(j - 7)*(j + 6)
Let h = -21/520 - -93/130. Let n(g) be the second derivative of -h*g**5 - g**3 + 5*g + 0 + 3/2*g**4 + 0*g**2. Factor n(b).
-3*b*(3*b - 2)**2/2
Let n = 30384/5 - 6076. Let -n*t**2 - 64/5 + 32/5*t = 0. What is t?
4
Factor -6/11*w**2 + 2/11*w**4 + 10/11*w - 2/11*w**3 - 4/11.
2*(w - 1)**3*(w + 2)/11
Factor 3*r**2 + 776*r - 2*r**2 - 792*r.
r*(r - 16)
Let z(o) be the second derivative of o**5/50 + 7*o**4/60 + o**3/15 - 3*o**2/10 - 8*o - 3. Factor z(f).
(f + 1)*(f + 3)*(2*f - 1)/5
Find u such that -4*u**5 + 0*u + 176/5*u**3 - 112/5*u**2 + 0 + 268/5*u**4 = 0.
-1, 0, 2/5, 14
Factor -4107/5 - 222/5*c - 3/5*c**2.
-3*(c + 37)**2/5
Let g(w) = 2*w**3 - 10*w**2 - 2*w + 5. Let a(q) = -3*q**3 + 9*q**2 + 2*q - 4. Let x(t) = 5*a(t) + 4*g(t). What is z in x(z) = 0?
-2/7, 0, 1
Let y(m) = 9*m**2 - 5*m. Let q(c) be the first derivative of c**3/3 - c**2/2 - 12. Let g(w) = 14*q(w) - 2*y(w). Factor g(p).
-4*p*(p + 1)
Let j = 9 + -1. Suppose 4 + j = 4*b. Let m(y) = 9*y**2 - y - 7. Let r(g) = 10*g**2 - 2*g - 8. Let o(f) = b*r(f) - 4*m(f). Solve o(s) = 0 for s.
-1, 2/3
Suppose 939*u = 937*u - 10. Let s be (-3)/5*(120/32 + u). Let 3/4*b - s*b**3 - 3/4 + 3/4*b**2 = 0. What is b?
-1, 1
Suppose 2*j - n - 120 = 2*n, -240 = -4*j - 2*n. Suppose 4*v - 44 = j. Determine t so that t**5 - 18*t**5 + v*t**4 - 18*t**3 - 2*t**2 + 4*t + 7*t**5 = 0.
-2/5, 0, 1
Let p(c) be the first derivative of c**6/33 - 6*c**5/55 + c**4/11 - 194. Let p(x) = 0. Calculate x.
0, 1, 2
Let l(x) be the second derivative of 0*x**2 + 8/15*x**3 + 0*x**6 + 0*x**4 - 2/25*x**5 - 18*x + 1/210*x**7 + 0. Factor l(h).
h*(h - 2)**2*(h + 2)**2/5
Let x be (3770/(-325) + 12/1)/((-2)/(-4)). Factor -x*q**2 - 4/5*q + 0.
-4*q*(q + 1)/5
Let v(h) = 48*h**4 - 20*h**3 - 84*h**2 - 36*h + 20. Let i(t) = 7*t**4 - 3*t**3 - 12*t**2 - 5*t + 3. Let f(s) = 20*i(s) - 3*v(s). Suppose f(m) = 0. Calculate m.
-1, 0, 2
Let y(z) be the third derivative of z**8/336 - z**7/210 - z**6/30 + z**5/15 - 8*z**2 + z. Solve y(f) = 0.
-2, 0, 1, 2
Let t(x) be the first derivative of -x**6/6 + 6*x**5/5 - 11*x**4/4 + 2*x**3 + 142. Factor t(g).
-g**2*(g - 3)*(g - 2)*(g - 1)
Let y = 170 - 170. Suppose -2*d + 10 = y, -3*l + 3*d - 2 - 7 = 0. Solve 0 - 1/4*o**l + 1/4*o = 0.
0, 1
Suppose 0 = -27*l - 132*l + 42*l + 234. Determine i so that 6/11 + 2/11*i**l - 10/11*i + 2/11*i**3 = 0.
-3, 1
Let l(a) be the third derivative of -6*a**2 + 1/150*a**5 + 0 - 2/15*a**3 + 0*a - 1/60*a**4. Factor l(v).
2*(v - 2)*(v + 1)/5
Let f(j) be the third derivative of j**6/540 - j**5/135 + 7*j**2. Factor f(o).
2*o**2*(o - 2)/9
Let d(f) = -4*f**4 + f**3 + f**2 + f. Let m(y) = 9*y**4 - 30*y**3 - 81*y**2 - 75*y. Let p(r) = 3*d(r) + m(r). Find c, given that p(c) = 0.
-4, -3, -2, 0
Suppose -3*v + 0*n + 216 = -n, -288 = -4*v + 5*n. Let z be (0 - (-4)/66)/(12/v). Find m, given that -4/11*m + z*m**3 + 2/11 - 2/11*m**4 + 0*m**2 = 0.
-1, 1
Solve -11*f**3 - f**4 + f + 8*f**3 + 7*f**2 + 6*f**3 - 4*f**3 - 4 - 2 = 0.
-3, -1, 1, 2
Suppose 10*r - 12 = 7*r. Factor 12*k**r - 7*k**4 + 5 + 0 - 10*k**2.
5*(k - 1)**2*(k + 1)**2
Let f(b) = -b**2 - b + 1. Let a(h) = 147*h**3 + 11*h**2 - 47*h + 11. Suppose 15*v - 10*v + 5 = 0. Let x(o) = v*a(o) + 3*f(o). What is z in x(z) = 0?
-2/3, 2/7
Let z = 1877/55 - 305/11. Factor -14/5*s - 2/5 - 16/5*s**2 + z*s**3.
2*(s - 1)*(4*s + 1)**2/5
Let f(t) be the third derivative of t**7/840 + 13*t**6/480 + 23*t**5/240 + 11*t**4/96 + 6*t**2 + 2*t. Solve f(p) = 0.
-11, -1, 0
Let w = 191/6 - 127/4. Let c(k) be the first derivative of w*k**3 + 0*k - 1/8*k**2 + 8. Factor c(i).
i*(i - 1)/4
Suppose 2*g - 2/17*g**2 - 120/17 = 0. Calculate g.
5, 12
Let 73 + y + 17*y**3 - 75 - 57*y**2 + 18*y + y**3 - 16*y**4 + 38*y**3 = 0. What is y?
1/4, 1, 2
Suppose 370 - 360 = -5*g - 5*d, 2*g + 9 = -3*d. Solve 9/2 + 1/2*f**2 + g*f = 0 for f.
-3
Let s(i) be the third derivative of i**7/280 + i**6/96 - i**5/80 - 3*i**4/32 - i**3/6 - 9*i**2. Factor s(p).
(p + 1)**3*(3*p - 4)/4
Factor -1/4*u**2 + 0 - 1/2*u.
-u*(u + 2)/4
Suppose 17 = 6*o + 5. Let v be (2 - 1)*(4 + -1). Factor -v*k**3 - 3*k + o*k + 3*k - 2*k**2 + k**3 + 2*k**4.
2*k*(k - 1)**2*(k + 1)
Let f(i) be the third derivative of i**6/120 + i**4/24 - 2*i**2. Let o(w) = 4*w**2 + 4*w + 2. Let v = 138 - 140. Let t(b) = v*f(b) - 2*o(b). Factor t(z).
-2*(z + 1)**2*(z + 2)
Let h(c) be the first derivative of 2*c**5/75 - 17*c**4/30 + 22*c**3/5 - 81*c**2/5 + 144*c/5 + 57. Find p, given that h(p) = 0.
3, 8
Let v(g) = -20*g**3 - 24*g**2 - 6*g - 2. Let k(u) = -u**3 + u - 1. Let t be 5*(-4)/(-90)*9. Let h(w) = t*k(w) - v(w). Factor h(f).
2*f*(3*f + 2)**2
Let o = 136 - 116. Determine p, given that -o - 15*p**2 + 10*p**2 - p**2 + 11*p**2 = 0.
-2, 2
Suppose -p - 2*p = 48. Let u = 31 + p. Let 36*n**3 - u*n + 7*n + 72*n**2 - 8*n - 32 = 0. Calculate n.
-2, -2/3, 2/3
Let v = | {
"pile_set_name": "DM Mathematics"
} |
1 + 2. Suppose -4*n = -z + 10, 2*n + 50 = -3*z - 2*n. Let s be i(z). What is the highest common factor of s and 18?
6
Suppose 547*d = -27*d + 24108. Let z(k) = 51*k + 3. Let h be z(9). What is the greatest common divisor of h and d?
42
Suppose -7*l + 5*l = s - 25, 3*s = -2*l + 15. Suppose -l*u + 82*u = 3484. What is the greatest common factor of 221 and u?
13
Let w be ((-156)/130)/(1/(-35)). What is the greatest common factor of w and 3486?
42
Let w = 196 - 140. Let d = 141 - w. Let c = d - 30. Calculate the greatest common factor of c and 33.
11
Let o(z) = 18 - 17 + 58 - 2*z. Let y be o(10). What is the highest common factor of 26 and y?
13
Suppose 166 = -5*y - 2*j + 4*j, j - 168 = 5*y. Let d be (-18)/((-15)/21 - -1). Let f = y - d. Calculate the greatest common divisor of f and 319.
29
Let z = 100 + -179. Let x = 68 - z. Suppose 0 = 2*o - 2*w - 102, 3*o + 2*w = 3*w + x. Calculate the greatest common divisor of 432 and o.
48
Suppose 0 = -2*r - 2*c + 66, 3*r - 5*c = 5*r - 69. Suppose 3*u = -r*u + 1225. Calculate the greatest common divisor of u and 5.
5
Let i(h) = 4*h - 44. Let m be i(21). Suppose -m + 10 = -10*o. Suppose 12 = j + 3*f, -4*f = -2*j + 40 - 6. What is the highest common factor of j and o?
3
Let b be (1/(-1))/(2 - 1). Let a be (74 - -1) + (4 - 3) + b. Calculate the greatest common divisor of a and 135.
15
Let h(d) = -21*d**2 + 7*d - 82. Let f be h(10). Let u be ((-1)/2)/(32/f). What is the highest common divisor of u and 55?
11
Let q = -1121 + 1126. Calculate the highest common divisor of q and 10.
5
Let o be (0 - 1)*(-415)/(-166)*(-2 - 72). Let a(x) = -2*x - 2. Let s be a(-3). Let p = 33 + s. What is the greatest common factor of o and p?
37
Let q = -31 + 51. Let v be (408/q)/((-4)/(-30)). Let x = -103 + v. Calculate the highest common divisor of x and 20.
10
Suppose -5*a = 15, 4*a = -l - 5 - 3. Let g = -563 - -566. Suppose l*b + g*o - 7*o - 380 = 0, -5*o + 113 = b. What is the highest common divisor of b and 28?
14
Suppose 2*v = 4*z - 262, -z - 6 = 3*v - 75. Let o be (-1330)/(-8) - 1 - (546/(-104))/(-21). What is the highest common divisor of o and z?
33
Let m = 79 + -56. Suppose -23 + 6 = -f. Let g = m - f. Calculate the highest common divisor of 18 and g.
6
Let j be (5/6)/(-6 + (-876)/(-144)). Let i(n) = n**3 - 10*n**2 + 31*n + 2. Let x be i(j). Calculate the highest common divisor of 39 and x.
39
Let z = -9 - -495. Calculate the greatest common divisor of z and 90.
18
Suppose -31752 = -367*h - 221*h. Let r(v) = 2*v**3. Let b be r(1). Calculate the greatest common divisor of b and h.
2
Suppose d = 2*d - 2. Let c(b) = b**2 - 10*b - 34. Let w be c(13). Suppose 3*l - d*g - 405 = g, -w*g - 285 = -2*l. What is the highest common factor of 13 and l?
13
Let b(c) = c**2 - 18*c + 71. Let u be b(14). Let k = 65 - 46. Let a = k - 4. Calculate the highest common divisor of u and a.
15
Let j = 63 - 60. Suppose -2 = 2*o, -j*s = -s + 5*o - 7. Calculate the highest common divisor of 162 and s.
6
Let u be 1 - -9 - (-1)/(-1). Suppose 106*a - 2272 = -1318. What is the highest common divisor of u and a?
9
Suppose 5*z + 2*l = 1676, -74*l + 69*l = -z + 346. What is the greatest common factor of z and 400?
16
Let b(h) = 2*h**3 + 44*h**2 + h - 2*h - 12 - 3*h - 52*h**2. Let i be b(5). Calculate the greatest common factor of 60 and i.
6
Suppose -79*u - 49833 = -128*u. What is the highest common divisor of 63 and u?
9
Suppose 4*c + 72 = 25*w - 22*w, w = -4*c - 8. What is the highest common factor of 580 and w?
4
Let k be ((-72)/5)/((-1)/15). Let y = 46456 - 46402. Calculate the highest common factor of k and y.
54
Suppose -8*h + 59494 + 6631 + 5435 = 0. Calculate the highest common divisor of 10 and h.
5
Suppose -169*o + 173*o - 176 = 0. Suppose -i - 10 = 3*r, 0 = -5*i + 3*i - 3*r - 23. Let l = -2 - i. Calculate the greatest common factor of o and l.
11
Let a(f) = -f**2 + 10*f + 11. Let y be (-1)/(-4) + 70/8. Let t be a(y). Suppose 819*x - 1013*x + 5820 = 0. What is the highest common divisor of t and x?
10
Let p(i) = 15*i + 85. Let a be p(-5). Let j = a - -44. What is the highest common divisor of j and 6?
6
Let j = -12570 + 12820. Calculate the greatest common divisor of 475 and j.
25
Let v be ((-1064)/(-57))/((3/3)/6). Let o be ((-92)/69)/(2/(-105)). What is the greatest common divisor of v and o?
14
Let a = -841 + 962. Let p(g) = g**2 + 11. Let q be p(0). What is the highest common factor of a and q?
11
Let q = -217 - -3456. Calculate the greatest common divisor of 237 and q.
79
Let z = 37 - -191. Let h = z + -60. What is the greatest common divisor of h and 96?
24
Let h be 2/(-6) - (-51086)/42. Calculate the greatest common divisor of 114 and h.
38
Let c = 16 - 10. Let q be c/(-3) - (-7 - -1). Suppose 649 = 4*x - 2*d + 133, 376 = 3*x + q*d. Calculate the greatest common factor of 16 and x.
16
Let i be -4 - (-50)/18 - (-6)/27. Let o be 73*(3 - i/(-1)) - 2. Suppose o = 7*u - 4*u. Calculate the highest common factor of u and 12.
12
Let x(g) = -g - 20. Suppose -12*r - 15 = -11*r. Let n be x(r). Let s = n - -130. Calculate the greatest common factor of 25 and s.
25
Let j(u) = 36*u**3 - 2*u**2 + 2*u. Suppose 4*d = -16, 2*d = -f - 3*f - 4. Let s be j(f). Calculate the greatest common factor of 36 and s.
36
Let q(h) = h**2 + 9*h - 122. Let z be q(-23). What is the highest common divisor of z and 1080?
40
Suppose -11*c + 22*c = 39*c - 40796. What is the highest common factor of 94 and c?
47
Let m be 66/110 + (-38781)/(-15) + 0 + -2. Calculate the greatest common divisor of m and 760.
152
Suppose -3*f = -3*d - 144, -226*f + 224*f + 4*d = -84. What is the greatest common factor of 2466 and f?
18
Let f = 976 + 520. Calculate the greatest common divisor of f and 22.
22
Let t(v) = -2105*v - 10389. Let n be t(-5). Calculate the highest common divisor of 1717 and n.
17
Let c be (-226)/(-6) - 2664/999. Let x(l) = 3*l**3 - 7*l**2 + 3*l - 7. Let a be x(3). What is the greatest common divisor of c and a?
5
Let g(o) = o**3 + 10*o**2 - 9*o + 60. Let r be g(-7). What is the highest common factor of 54 and r?
54
Let t = 8803 + -8758. Suppose -q = -4*q + 75. What is the highest common divisor of q and t?
5
Let h(q) = -q**3 + 25*q**2 + 52*q + 58. Let k be h(27). Suppose k*t + 41 = 3*v - 6, 4*t = v - 29. What is the highest common divisor of v and 27?
9
Suppose 2*n - 20 = -0. Let x be (-36)/(-48) + (-1086)/(-24). What is the greatest common factor of x and n?
2
Let b be (-25)/(-15) + 13 + 304/(-24). Calculate the greatest common factor of b and 1294.
2
Let f = 17986 - 11566. Calculate the highest common divisor of 20 and f.
20
Let t = -186 - -121. Let z be 1356/26 + 10/t. Suppose 4*k - z = r, k - r = 4*r - 6. Calculate the greatest common divisor of 14 and k.
14
Let p be (3 - 4)*(1 - 6). Suppose -4*c + 288 = t - 35, 2*c = p*t + 167. What is the highest common factor of c and 297?
27
Let i(v) = -v**3 + 55*v**2 - 99*v + 18. Let h be i(53). What is the highest common factor of h and 1?
1
Let l = 943 - 935. Let y(x) = 43*x - 228. Let g be y(l). Calculate the greatest common divisor of 1276 and g.
116
Suppose 11*o + 6*o = 391. Let k(s) = -2*s**2 + 51*s + 55. Let h be k(o). Suppose 3*m = 7*m - 40. What is the highest common factor of h and m?
10
Suppose 4*q - v + 273 = 0, 325 + 13 = -5*q - 2*v. Let f = -26 - q. Suppose 4*z = 2*m - f, -28 = 2*m - 5*m - z. Calculate the highest common factor of m and 22.
11
Let m(z) = 48*z - 82. Let d = -319 + 321. Let t be m(d). Suppose 0 = a + 3 - 4. Calculate the highest common factor of a and t.
1
Suppose 111*n + 96 = 117*n. Calculate the greatest common divisor of n and 512.
16
Let o = 3891 + -3761. Calculate the greatest common divisor of o and 2665.
65
Let r = 255 + -242. Suppose -12*b + r*b = 253. What is the highest common factor of 11 and b?
11
Let g be ((-95)/(-15) + 1)*3. Suppose 2*u + g = -9*u. Let v(p) = 9*p**2 + 8*p + 2. Let z be v(u). What is the greatest common divisor of 22 and z?
22
Let f be 1*((2 - (-105)/(-49)) + 648/28). Calculate the greatest common factor of f and 25.
1
Let l be 6 + 0 - 28/(-70)*10. Suppose 0 = -2*s - 5*h - 0*h + 75, -5*s + 5*h = -205. Calculate the greatest common factor of s and l.
10
Let q = -2942 + 3138. Calculate the highest common divisor of 5488 and q.
196
Let o(s) = s + 17. Let r be o(-9). Let k | {
"pile_set_name": "DM Mathematics"
} |
= -217. What is the hundreds digit of j?
1
Suppose 0 = -3*t + 55 + 47. What is the units digit of t?
4
Let x be (-2)/(-4) - 27/(-2). Suppose -14 = -0*z - 2*z. What is the units digit of 38/x - (-2)/z?
3
Let p(o) = -o**3 + 3*o**2 + 6*o - 6. Let c be p(4). Suppose 3*m + 5 = -10. What is the units digit of c*((-15)/2)/m?
3
Suppose 4*f - 16 + 0 = 0. Let k be (4 + 0)*20/f. Suppose k = 7*u - 2*u. What is the units digit of u?
4
Let s = -229 - -424. Suppose -4*w = -3*r - 0*w + 121, -5*w - s = -5*r. What is the tens digit of r?
3
Suppose 4*k - 149 = p, -k - 5*p - 2 = -13. What is the tens digit of k?
3
Let j(q) = q**2 + 4*q - 28. What is the tens digit of j(9)?
8
Let c = 8 - -9. Suppose -v - v + c = -k, 3*k + 1 = v. What is the tens digit of v?
1
Let a(i) = -16*i - 1. What is the hundreds digit of a(-8)?
1
Let u be ((-9)/(-4))/(2/(-8)). Let i be (-5)/(-1) - u/(-3). Suppose 3*o - i - 34 = 0. What is the units digit of o?
2
Suppose 3*a - 43 = 2*a. What is the units digit of a?
3
Suppose 11 - 2 = 3*a. Suppose -a*z - z = 0. Suppose -4*d + 20 = -z*d. What is the units digit of d?
5
Let a(o) = -o + 7. Let l(i) = i**3 - 7*i**2 + 2*i - 7. Let s be l(7). Let z be a(s). Suppose 0 = -4*d - z*d + 44. What is the tens digit of d?
1
Let v(i) = -i**2 - 7*i - 8. Let w be v(-4). Suppose 5*k - 7 = w*k. What is the units digit of k?
7
Let b(c) = c**2 - c + 3. Let p be (-6)/(-3) + -9 + 3. Let s be b(p). Suppose 52 = 5*x - s. What is the units digit of x?
5
Let d be ((-4)/(-4))/((-1)/2). What is the units digit of (-3 + -15)*1/d?
9
Let q(f) = -f**3 - 11*f**2 + 12*f + 2. What is the units digit of q(-12)?
2
What is the tens digit of 266/8 - (-5)/(-20)?
3
Suppose 74 = 4*q - 142. Suppose 0 = t - 5*x - q, 0*t + 142 = 3*t - 5*x. Suppose -5*z = 2*u - 62, 0 = -z - z + 4*u + t. What is the tens digit of z?
1
Suppose -10*z + 13*z - 33 = 0. Suppose -3*i = -l + 6*l - z, 2*l = 3*i - 4. What is the units digit of l?
1
Suppose -s = 2, -5*s = -2*z + 15 + 31. Suppose 2*v - z = 4*r, -2*v + r + 36 - 6 = 0. What is the units digit of v?
7
What is the units digit of (-1)/(-1) + (1 - -8)?
0
What is the units digit of 2*-2 + 336/6 + 0?
2
Let z(n) = 6*n + 1. Let s(d) = d**2 - d + 2. Let m be s(0). What is the tens digit of z(m)?
1
Let y(f) = 1 + 0 + f**2 - 7*f + 3. Let c be y(7). Suppose -4*x - c*v + 8 = 0, -3*x + 10 = x + 2*v. What is the units digit of x?
3
Let d = -52 - -113. Suppose 5*i = 114 + d. Let f = i - 21. What is the tens digit of f?
1
Let x = -4 - -5. What is the units digit of ((0 + x)*1)/1?
1
What is the units digit of 17 - (3 + -2 + -4)?
0
Suppose -13 = 5*s + 2. What is the units digit of s/(-6) + 30/4?
8
Suppose -7 - 13 = 5*r + 5*h, -5*r - 14 = 3*h. Let f be (-3)/((-6)/2) - r. Suppose f*k = -k + 9. What is the units digit of k?
3
Let p = -28 - -70. What is the units digit of p?
2
Suppose 5*x = -c + 33, 0 = c - 2*x - 33. What is the tens digit of c?
3
Suppose 0 = -4*r + 3*l - l + 58, -5*r = -4*l - 77. Let x = -12 + r. What is the units digit of x?
1
Let w be 3*((-30)/(-9))/(-5). Let q = w + 42. What is the tens digit of q?
4
Let f(m) = 2*m**2 - 1. Let y be f(-1). Let c(l) = l**3 - l. Let d be c(y). Suppose d = 4*b - 2*i - 42, 5*i - 2*i = -3*b + 9. What is the units digit of b?
8
Let m(l) = -2*l - 5. Let s be m(-4). Suppose 4*d - 2*d - 15 = s*w, -2*w = 2*d. What is the units digit of d?
3
Let t = -5 - -15. Suppose -6*c = -4*c - t. What is the units digit of (c - -1) + -2 - 1?
3
Suppose -4*g - 64 = 3*z, g - 2*g - 16 = -2*z. Let v = g - -23. What is the units digit of v?
7
Let y(i) = 5*i - 41. What is the tens digit of y(20)?
5
Suppose -w = 3*u - 41 + 3, -160 = -5*w - 5*u. Let r = -11 + 30. Let j = w - r. What is the units digit of j?
0
Suppose 3*j + 30 = 4*j. Let h(b) = 6*b**2 - b - 1. Let c be h(-1). Suppose n - 21 = -5*t, -4*n - 4*t + j = -c. What is the units digit of n?
6
Suppose -5*p + 426 = -3*p. What is the tens digit of p?
1
Suppose a - 4*l + 4 - 19 = 0, 4*l = 3*a - 21. Suppose -5*p + 4*z - a*z = -77, 0 = -4*z - 8. What is the tens digit of p?
1
What is the hundreds digit of 14*((-282)/(-21) - -2)?
2
Let a(s) = -s**3 + 14*s**2 - 8*s + 15. Let x(p) = -p**3 + 13*p**2 - 7*p + 15. Let w(d) = 3*a(d) - 4*x(d). What is the units digit of w(10)?
5
Let h(w) = -5*w - 1. Let s be h(1). Let m = s + 7. What is the units digit of m?
1
Let y(o) = 10*o**2 - o - 3. What is the hundreds digit of y(4)?
1
Let r = -3 + 4. Suppose -25 + 0 = -5*a. What is the units digit of a - (r - -2)/3?
4
Let n = 58 - 36. What is the tens digit of n?
2
Suppose -3 = 3*z - 9. Let n be 4 - -2*1 - z. Suppose -41 = -3*i - n*t, -3*i + 6*t - t - 4 = 0. What is the units digit of i?
7
Let z(y) = y + 3. Let l be z(6). What is the units digit of (6/4)/(l/24)?
4
Suppose -5*h = -0*h - 25. Let k = h + -3. Suppose -k*l + 1 = -9. What is the units digit of l?
5
Suppose 3*o + 7 = 1. Let n be (0 - 1/(-2))*o. What is the tens digit of n - 6/(-3)*6?
1
Suppose -v + 6*v + 30 = 0. Let i be (v/4)/((-2)/4). Suppose 2*q + 16 + 33 = i*m, q = 5*m - 70. What is the units digit of m?
3
What is the units digit of 131 - (0 + 3)/3?
0
Suppose -6031 = 4*p - 847. What is the units digit of (-4)/14 + p/(-28)?
6
Suppose -u + 235 = 4*u. What is the units digit of u?
7
What is the units digit of (2/(-1))/((-7)/231)*1?
6
Let a = 0 - -5. Suppose 2*v + 2 = q - 4, a*q + 3*v = 69. What is the units digit of q?
2
Suppose -3*s = -46 + 7. Suppose 4*z + s = -3*x + 2*z, 2*x - 4*z - 18 = 0. Let g = 4 - x. What is the units digit of g?
5
Let w(n) = 5*n**2 + n**3 - 8 - 3*n + 3*n**2 + 2*n**2. Let j be w(-10). Let y = j - 10. What is the tens digit of y?
1
What is the tens digit of ((-4)/(-10))/(2 + (-756)/380)?
3
Let c(a) = 2*a**2 + 8*a - 34. What is the units digit of c(-10)?
6
Let b = 14 + -1. Suppose -7 = -5*s + b. What is the units digit of s?
4
Suppose -4*y = 16, d + 2*y + 12 = -y. Suppose -4*m = 8, 0 = -2*q - d*q - 3*m + 164. Suppose 2*p - q = -3*p. What is the tens digit of p?
1
Suppose -u - 2*h = -10, 0 = 4*u + 6*h - 4*h - 22. Suppose -4*r - u*c + 44 = 0, c - 14 = -2*r + 3. Let s = -5 + r. What is the units digit of s?
1
Suppose 5*y - 1 = 4. Suppose 4*c - 9 = -y. What is the units digit of c?
2
Let w be 5/(-5) - (1 + 2). What is the tens digit of 135/10 - 2/w?
1
Suppose 10*u - 1573 - 2107 = 0. What is the tens digit of u?
6
Let o(n) = -n**3 - 8*n**2 - 9*n - 7. Suppose 0*r = -5*m + 2*r - 46, -5*r = -15. Let b be 1/4 - (-58)/m. What is the units digit of o(b)?
7
Let b = -2 - 9. Let g = -3 - b. What is the units digit of g?
8
Suppose 3*n + 3*c - 60 = 2*c, -3*c - 67 = -4*n. Suppose 2*a = n - 7. What is the units digit of a?
6
Let g(d) = d + 3. Let c be g(8). Suppose -3*i + c + 25 = 0. Suppose 0 = -5*l + 3*l + i. What is the units digit of l?
6
Let j be 5 + -3 - (2 + -2). Suppose 4*u = -j*u + 174. What is the units digit of u?
9
Let b = 2 + -32. Let m be 166/10 + (-12)/b. Let f = m - 6. What is the units digit of f?
1
Let j(s) = -s**2 + 7*s - 4. Let n be j(6). Suppose v = y - n*y - 2, -5*y = 20. What is the units digit of v - 1 - 5/(-5)?
2
Let m = 39 - -13. What is the tens digit of m?
5
Let d(a) = -a + a - 2*a + 5. Let h(r) = r**3 + 8*r**2 - 4. Let p be h(-8). What is the tens digit of d(p)?
1
Suppose 0 = -4*r + r + 27. What is the units digit of r?
9
Suppose 60 = 4*j + v - 8, 3*j = v + 44. Suppose 18 = 9*q - 3*q. Suppose 5*p + 4*c = j, -29 = -5*p - q*c - 12. What is the units digit of p?
4
Let i be -2 - (-2 - 84/2). Suppose 0 = 5*v + 25, 4*m - 2*m - i = 2*v. Suppose 0*s - 2*s = -m. What is the units digit of s?
8
Suppose q = 6*q, 5*i - 175 = 5*q. What is the units digit of i?
5
Let a(u) = 8*u. Let j be a(4). Let t = 49 - j. What is the tens digit of t?
1
Let v = -29 - -14. Let p = v - -32. What is the tens digit of p?
1
Suppose x + 222 + 112 = 5*w, 340 = 5*w + 5*x. What is the tens digit of w?
6
Suppose -2*o + 52 = -154. Suppose -2*n - 9 = -o. What is the units digit of n?
7
What is the tens digit of 54 - (0/6 - -3)?
5
Let g = 8 + -5. Suppose -3*b + 33 = -g. What is the tens digit of b?
1
Let m be -3 + 1 + (-4)/(-1). Suppose -3*o - 5*h + 1 = 0, -m*o + 0*o - 3*h = 0. What is the tens digit of 0 + o/(3/(-10))?
1
Suppose l + l = 12. Suppose l = -j + 1. Let w = -4 - j. What is the units digit of w?
1
Let f = -74 + -10. What is the units digit of f/(-5) + | {
"pile_set_name": "DM Mathematics"
} |
*u**3
Find the third derivative of 22*c**2 - 47*c**2 + 12 - 46*c**2 + 2380*c**5 + 1985*c**5 - 2*c**2 wrt c.
261900*c**2
Suppose -14 = -2*d - 4*r, r = 4*d - 4*r - 15. Find the second derivative of 8*v**2 - d*v**3 + 4*v + 0*v + 0*v**2 - 1 wrt v.
-30*v + 16
Let b(m) = 2*m**2 - 4*m - 22. Let r(i) = i**3 + 4*i**2 - 10*i - 43. Let p = -46 - -44. Let h(u) = p*r(u) + 5*b(u). What is the first derivative of h(y) wrt y?
-6*y**2 + 4*y
Suppose 2*u = -5*k - 0*u + 23, 0 = -2*k + 3*u - 6. Differentiate -31 - 206*h - 2*h**3 + 206*h - k*h**3 with respect to h.
-15*h**2
Let r = -22 - -24. Let h be (-5)/r*-2 + 0. What is the third derivative of -6*t**2 - t**2 + h*t**6 + 0*t**2 wrt t?
600*t**3
Suppose q = -4*s + 38, -5*s - 28 + 8 = -q. Suppose -40 = -5*j + 5*i, j - 2*i + 4 = 3*j. Find the second derivative of -375*v + q*v**5 + 416*v - 10*v**j wrt v.
400*v**3
Let t(v) be the first derivative of 7/3*v**3 - 5 + 0*v**2 - 68*v. Differentiate t(f) wrt f.
14*f
Suppose 5*g = 21 - 6. Suppose 5 = 4*w - g. Find the third derivative of 4*d**2 - d**4 - 5*d**4 + 0*d**2 + 4*d**w wrt d.
-144*d
Let z = -292 + 302. Differentiate 131 - 183 - 89*f - z*f with respect to f.
-99
Let w be 16 - (-963)/(-81) - 2/18. Let n(d) be the first derivative of 21/2*d**2 + w + 7/2*d**4 + 0*d**3 + 0*d. What is the second derivative of n(z) wrt z?
84*z
Let y(z) = 1980*z - 897. Let i(h) = 989*h - 444. Let v(m) = 7*i(m) - 3*y(m). What is the first derivative of v(k) wrt k?
983
What is the second derivative of -485 - 483 + 968 + 2056*d**3 - 1560*d wrt d?
12336*d
Let g(h) = -h**3 + h + 1. Let v(n) = -2*n**2 + 6*n - 54 + 53 - 21*n**3 + 71. Let x(w) = -6*g(w) + v(w). What is the third derivative of x(f) wrt f?
-90
What is the second derivative of -681*p**2 + 868*p**2 + 966*p - 992*p**2 - 914*p**2 wrt p?
-3438
Suppose -11*c + 8 + 25 = 0. Differentiate -9*l + 15*l + c*l + 73 + 19*l wrt l.
28
Let h(k) be the first derivative of -363*k**4/4 + 2849*k**2/2 + 5406. Find the second derivative of h(z) wrt z.
-2178*z
Suppose 6*d + 768 = 18*d. Let m = d - 61. Find the third derivative of 34*q**2 - 5*q**6 - 34*q**m - 36*q**3 + 70*q**3 wrt q.
-600*q**3
Let w be (1 - -4) + (-1)/(1/1). Suppose -70 - 2 = -w*p. What is the third derivative of -19*r**2 + 38*r**2 - 15*r**2 - p*r**3 - 18*r**2 wrt r?
-108
What is the derivative of 2973*b**2 - 4491 + 7670 + 6752 wrt b?
5946*b
Let l(a) = 636*a**2 - 99*a + 2183. Let c(k) = -1908*k**2 + 264*k - 6548. Let q(s) = 3*c(s) + 8*l(s). What is the first derivative of q(r) wrt r?
-1272*r
Differentiate -7918594*n**2 + n - 4*n**3 - 3*n**4 + 7918631*n**2 - n + 7648 with respect to n.
-12*n**3 - 12*n**2 + 74*n
Let s(w) be the first derivative of -15*w**4/8 - 38*w**3/3 - 19*w**2/2 + 23. Let b(x) be the second derivative of s(x). Differentiate b(o) wrt o.
-45
Suppose 13*w - 4*w = 306. Find the second derivative of 0*v**2 - 2*v**2 - w*v**2 - 75*v - v**2 wrt v.
-74
Let w = 4738 - 4735. Let a(q) be the first derivative of w*q**2 - 10/3*q**3 + 10 + 0*q. What is the second derivative of a(u) wrt u?
-20
Let d(s) = -835*s**2 - 2*s - 3733. Let y(u) = -1671*u**2 - 5*u - 7457. Let c(w) = 5*d(w) - 2*y(w). What is the first derivative of c(g) wrt g?
-1666*g
Let c(d) be the third derivative of 12*d - 7/6*d**5 + 3*d**2 + 0*d**7 + 0*d**4 + 0 + 0*d**6 + 1/8*d**8 + 0*d**3. Find the third derivative of c(u) wrt u.
2520*u**2
Let b(m) be the second derivative of 6793*m**8/56 + 17*m**4/12 - 2*m**3/3 - 54*m - 3. What is the third derivative of b(z) wrt z?
815160*z**3
Let x = 56 + -54. Let l be (x - 2) + (0 - -1). What is the derivative of -2 + 17*c + 2 - 5 - l wrt c?
17
Let w(r) be the first derivative of -3*r**5/5 - 17*r**4/4 + 5*r**3/3 + 37*r**2 + 909. What is the third derivative of w(x) wrt x?
-72*x - 102
Let m(r) = -113*r**3 - 46*r**2 + 1960*r + 5. Let o(c) = 55*c**3 + 23*c**2 - 979*c - 3. Let n(b) = -3*m(b) - 5*o(b). Find the second derivative of n(a) wrt a.
384*a + 46
Let z(m) be the third derivative of 231*m**6/8 - 1017*m**4/8 - 69*m**2 - 8*m. What is the second derivative of z(y) wrt y?
20790*y
Let r(z) = -2*z**4 - 65*z**3 + 12*z**2 - 2148. Let h(v) = 2*v**4 + 65*v**3 - 14*v**2 + 2145. Let m(d) = 6*h(d) + 7*r(d). Differentiate m(g) wrt g.
-8*g**3 - 195*g**2
Let k(w) = 5*w**3 - 2*w**2 + 16*w + 83. Let o(q) = 2*q**3 - 4*q - 2. Let m(r) = k(r) + 4*o(r). Find the first derivative of m(a) wrt a.
39*a**2 - 4*a
Let m(r) be the first derivative of -r**6/6 - 3*r**4/4 + 358*r**3/3 + 4579*r**2/2 + 3558. What is the second derivative of m(c) wrt c?
-20*c**3 - 18*c + 716
Let a(c) = -2*c**4 - c**2 + 2. Let l(f) = 2*f**5 + 6*f**4 + 285*f**3 - 1349*f**2 - 6. Let j(t) = -3*a(t) - l(t). Find the third derivative of j(m) wrt m.
-120*m**2 - 1710
Let l(z) = -2*z**3 + 510*z**2 - 24*z - 1. Let v(h) = -2*h**3 + 499*h**2 - 25*h. Let x(q) = 4*l(q) - 5*v(q). Find the second derivative of x(i) wrt i.
12*i - 910
Let s(h) be the third derivative of -1301*h**9/504 - 1073*h**5/60 + 2*h**2 - 140*h. What is the third derivative of s(y) wrt y?
-156120*y**3
Suppose k + 14 = 45. Find the third derivative of 29*m - m**2 + 32*m - 101*m**3 + 9*m + k*m wrt m.
-606
Let i(t) = 1654*t**2 - 300*t + 12. Let r(a) = -830*a**2 + 149*a - 6. Let m(p) = -4*i(p) - 7*r(p). What is the second derivative of m(g) wrt g?
-1612
Let x(z) be the second derivative of -z**8/14 + 4*z**7/21 + 12*z**5/5 + 65*z**4/2 + 5*z**2/2 - 1010*z - 3. Find the third derivative of x(i) wrt i.
-480*i**3 + 480*i**2 + 288
Let x be 2*1/(16/24). Find the third derivative of -11*j**2 + 4*j - 25*j**3 - j - 237*j**3 - 14*j**2 + 17*j**x wrt j.
-1470
Let m(k) be the second derivative of 5*k**2 + 1/3*k**6 + 0 + 1/2*k**3 - 1/42*k**7 - 51*k + 0*k**5 + 0*k**4. Find the second derivative of m(f) wrt f.
-20*f**3 + 120*f**2
Let p = -1 - -1. Let g(f) = 141*f + 1001. Let a be g(-7). Find the first derivative of 19*m**3 + p + 17 + a wrt m.
57*m**2
What is the second derivative of -430*i**5 - 714*i**5 - 1594*i - 1596*i**5 - 1642*i wrt i?
-54800*i**3
Let c(h) be the third derivative of -677*h**6/60 + 215*h**3/2 + 1123*h**2. What is the derivative of c(r) wrt r?
-4062*r**2
Find the first derivative of 828592*r - 415164*r + 1063 - 414579*r wrt r.
-1151
Suppose 0 = 2*u + 2*g + 2, -6*g + 3*g = 4*u + 3. Suppose u = 33*b - 39*b + 36. Find the third derivative of 8*c**6 - b*c**2 - 3*c**2 - 38*c**6 - 11*c**2 wrt c.
-3600*c**3
Suppose 0 = 25*a - 23*a - 6. Find the second derivative of -156*u**a - 191*u - 24606*u**4 + 23*u**3 + 24607*u**4 wrt u.
12*u**2 - 798*u
Let p(d) = -20*d**3 + 98*d**2 + 306*d + 4. Let v(a) = -24*a**3 + 101*a**2 + 307*a + 5. Let r(t) = -5*p(t) + 4*v(t). Find the second derivative of r(f) wrt f.
24*f - 172
Differentiate 107*h**2 + 15*h**3 + 14*h**3 - 5630 + 3586493*h - 5*h**2 - 3586493*h with respect to h.
87*h**2 + 204*h
Suppose 0 = -j - 2, 5*r - 111 = -4*j + 26. Find the third derivative of 19 + 10 - r + 44*s**2 - 57*s**3 wrt s.
-342
Let k(t) be the first derivative of -5*t**6/2 + 94*t**3/3 - 1329*t**2 - 3096. What is the second derivative of k(l) wrt l?
-300*l**3 + 188
Suppose -314 + 1054 = 10*q. What is the second derivative of 74*x**3 - 60*x**4 - q*x**3 + 17*x wrt x?
-720*x**2
Suppose -o = -2, -3*o + 10 + 23 = 3*j. Suppose -j*c = -12*c + 39. What is the derivative of 14*y**2 + 9*y**2 + 11 + c - 48*y**2 wrt y?
-50*y
Find the third derivative of -20250*p**2 + 20253*p**2 - 3*p**3 - 644*p**5 - 1025*p + 3117*p**5 + 3*p**3 wrt p.
148380*p**2
Let j(c) = -6*c**2 + c + 236*c**3 - 9*c**2 - 1 + 16*c**2. Let z be j(1). What is the second derivative of -275*m**3 + z*m**3 + 16*m + 7*m wrt m?
-228*m
Let p(m) = -4998*m - 1871. Let k(h) = 4998*h + 1871. Let i(a) = 6*k(a) + 5*p(a). Differentiate i(w) with respect to w.
4998
What is the second derivative of -1782*h + 12*h**2 - 801*h**2 - 533*h**2 - 124*h**2 - 129*h**2 wrt h?
-3150
Let j(h) be the third derivative of 0*h**4 + 46/105*h**7 + 0 - 265*h**2 + 109/6*h**3 + 0*h + 0*h**6 + 0*h**5. What is the derivative of j(m) wrt m?
368*m**3
Suppose 5*c = 6*c - 2*q - 5, 3*q = -4*c + 9. What is the third derivative of -11*b**2 + 5 - 5 - b - 107*b**c - 33*b**2 wrt b?
-642
Let a(b) be the second derivative of 1463*b**6/30 + 29*b**4/12 + 678*b. What is the third derivative of a(r) wrt r?
35112*r
Let a(g) = 11*g**3 + 0*g**2 - g**4 - 1 - 11*g**3 + g**2. Let f(t) = -6* | {
"pile_set_name": "DM Mathematics"
} |
e form j*b**3 + h*b + u*b**4 + k + n*b**2 and give h.
1
Rearrange -24*h**2 + 4*h - 2*h + 106*h**2 to x*h**2 + p + w*h and give x.
82
Rearrange 2436 - h - 1291 - 1300 to the form i + f*h and give f.
-1
Rearrange -219 + 5*b**3 + 2*b**4 - 4*b**4 + 217 - 2*b to the form p + u*b + x*b**4 + f*b**3 + s*b**2 and give p.
-2
Express -27 - 31 + 27 + 3 + 0*b**2 - 2*b**2 as q + o*b**2 + z*b and give o.
-2
Express 178*l**3 - 2*l + 96*l**2 - 98*l**2 - 3*l**4 + 6*l**4 as m*l + s*l**4 + b*l**3 + p*l**2 + y and give b.
178
Rearrange -4*d**2 - 172*d - 171*d + 1 + 345*d - 1 to the form g + s*d**2 + q*d and give q.
2
Rearrange -11 + 11 - 6*k + (-k + 3*k - 4*k)*(4 + 0 - 5) - k + 0 + 0 + 5*k + k - 2*k + (k - 3*k - k)*(-1 - 2 + 5) to the form q*k + n and give q.
-7
Rearrange 7*k - 4*k - 2*k + 9 + 4*k**3 - 2*k**4 + k**2 - 3 to q*k**2 + t*k + v*k**3 + r*k**4 + w and give r.
-2
Express (3 - 2 + 0)*(2 + 2 - 2 + (2 - 3 - 1)*(3 - 4 - 1))*(-690*y + 617*y + 323*y) as r*y + d and give r.
1500
Express ((1 + 0 - 3)*(290*g + 17*g + 425*g) + 4*g - 4*g - 2*g)*(-3*g - g + 6*g) in the form d*g**2 + h + b*g and give h.
0
Express 87*i**3 - 30*i**3 + 11*i**3 + (4*i - 2*i - i)*(i + i**2 + i**2 + 1 - 4*i**2) in the form q*i**2 + u*i + h + n*i**3 and give n.
66
Rearrange 4*p**3 - 11*p + 14*p - 5*p**3 + 2*p**2 + 22*p to the form w + n*p**2 + y*p**3 + u*p and give y.
-1
Express 0 + 4 + 20*g**3 - 2 + 25*g**2 - 2*g**3 - 22*g**3 - 2*g as b*g**3 + y + o*g**2 + n*g and give y.
2
Express 4*g**2 + 5 - 13319*g**4 - 3 - 2*g**3 + 13354*g**4 in the form i*g + m*g**3 + o*g**2 + f*g**4 + s and give o.
4
Rearrange 0*q + q + q + (-9*q - 5*q - 5*q)*(-10 + 0 - 1) to u + g*q and give g.
211
Rearrange 188*k**4 - 7*k**2 - 186*k**4 + 10*k**2 - k**2 - 3*k - 34*k**3 + 1 to the form r*k**4 + v*k**3 + c + b*k**2 + i*k and give c.
1
Rearrange -36*z - 15*z - 2*z**3 + 20*z + 1 to the form h*z**2 + l + x*z**3 + b*z and give b.
-31
Express 19 + 5*s**2 + s - 23 + 4 in the form c*s + k + m*s**2 and give c.
1
Rearrange (-2*h - 3*h + 8*h)*(-4 - 2 + 4) + (2 - 2 - h)*(-1 + 3 + 0) + (-1 + 1 + 3*h)*(1 + 2 - 1) + 2*h - h + 2*h + 4 + h - 4 to the form b + r*h and give r.
2
Rearrange 15 + 65*w**3 - 2*w**2 - 2*w + 6*w**2 + 3*w**4 - 12 - 67*w**3 to the form g*w + a*w**4 + i*w**3 + m + z*w**2 and give a.
3
Express -2560*d**2 + 5110*d**2 - 96*d - 2552*d**2 in the form k*d**2 + u*d + y and give y.
0
Rearrange 19 + 171*x - 19 + 412*x + 320*x to a*x + s and give a.
903
Express 4*m + 5*m - 4*m + (1 + 0 + 0)*(0*m - 3*m + 5*m) - 5 + 18*m + 5 in the form z*m + l and give z.
25
Express (3*y - 3*y - y)*(3 - y**2 - 3) + 6*y**3 + 2*y**3 - 2*y**3 + 25*y**3 - 13*y**3 + 33*y**3 in the form z*y**3 + t + u*y + n*y**2 and give z.
52
Rearrange -157306*q**3 + 157316*q**3 - 27 + q + 0*q to the form f*q**2 + o*q + v + a*q**3 and give o.
1
Express 4*p + 9 - 9 + 1 - 1 - p - p - 2*p + p + (3 + 4 - 5)*(2 - 2 + 2*p) + (-1 + 2 + 0)*(24 - 7 + 9)*(0 - 2*p + 0) in the form r*p + s and give s.
0
Rearrange -27 + 12*r**3 - 2*r**2 + 29 - 29*r**3 + 3*r to a*r**3 + z*r + u + d*r**2 and give a.
-17
Express 2*s - 2*s - s + (3 - 5 + 0)*(s + s - 4*s) + 0 + 2*s + 0 - 2*s + 2*s + s - 20*s + 3 + 5 - 8 as k + g*s and give g.
-14
Express j**2 + 11*j - 23*j + 6*j - 2*j**2 as m*j**2 + s + v*j and give v.
-6
Express 31*a**4 + 1 - 57*a**4 - 7*a**2 + 5*a**2 in the form l*a**2 + s*a + v + f*a**3 + o*a**4 and give l.
-2
Express (2*u + 5*u - u)*(-8*u + 3 - 10*u - 7*u) as i*u**2 + w*u + x and give w.
18
Express -5 + 74*m**4 - m**2 - 2*m + 3*m**3 - 5*m**3 - 76*m**4 - 2*m**2 in the form s*m**2 + y*m**3 + l*m + t + h*m**4 and give h.
-2
Rearrange 5 + 3 + 55*c - 7 + 6 to w*c + n and give n.
7
Rearrange (d**2 - 65*d**2 - 22*d**2)*(-d + 0*d - d) - 2*d**3 + 0 + 0 to the form g*d**3 + s*d + h*d**2 + a and give g.
170
Rearrange 430*p**3 + 10*p**2 + 10*p**2 + 10*p**3 + 4*p**2 - 23*p**2 to the form k*p**2 + f*p + u*p**3 + m and give k.
1
Rearrange (-2 + 7 + 2 + (-1 + 1 + 1)*(-2 + 10 - 6))*(2*q - 4 + 3*q - 3*q) to x + j*q and give x.
-36
Rearrange -3 - 20*u**2 + 21*u + 3 - 25*u to the form y + i*u + z*u**2 and give i.
-4
Express -3*h + 25 + 59 - 49 + 4 + 31 in the form d + l*h and give l.
-3
Rearrange -79*h + 57*h - 203*h - 361*h + 42*h to r*h + b and give r.
-544
Rearrange (533*d - 335*d + 1169*d)*(d + 1 - 1) to the form k + r*d**2 + l*d and give r.
1367
Rearrange 31*c**3 + 25*c**3 + 17*c**3 - 67*c**3 + 21*c**2 to z*c**2 + i*c + j*c**3 + y and give j.
6
Express -5 - 2 + 120*g - 102*g + 0 as m + w*g and give m.
-7
Rearrange 19*t + 10*t - 37*t + 3*t**2 + 288*t**2 + 10*t to the form z + r*t + f*t**2 and give r.
2
Rearrange -2*a - 2979*a**2 + 2959*a**2 - 8*a**3 - 6 + 3 to s*a**3 + l*a + c*a**2 + k and give s.
-8
Express (-18 - 26*b + 18 + (0*b + b + b)*(-3 + 5 + 0))*(6 + 0 + 2) as z + t*b and give z.
0
Express -13*t**2 + 19 + 18*t**3 - 9 + 2*t - 2*t**4 - 9 - 20*t**3 in the form k*t**3 + p*t**4 + v*t + z*t**2 + y and give p.
-2
Express 5 + 10 + 4 - 23 - 324*r + 5 as n*r + d and give n.
-324
Express -z**2 - 3*z**3 + 48 + z + 1235*z**4 + 4*z**3 + 1227*z**4 - 2463*z**4 as x*z**2 + g*z**3 + u + n*z**4 + c*z and give c.
1
Rearrange -6*y**2 - y**4 + 1 + y - 2*y**4 - y**2 + 3*y**2 + y**3 to the form t + p*y + k*y**4 + j*y**2 + b*y**3 and give k.
-3
Express (-4 - r**2 + 4)*(-2*r + 0*r + r) + (-4 + 17 - 11 - 2*r)*(-r**2 + 0*r**2 - r**2) as n*r + z*r**3 + f*r**2 + u and give f.
-4
Rearrange -15*s + 18*s - 7*s - 5*s + 5*s + 2*s + (0 - 1 - 1)*(2*s - 2*s + 2*s) - 2*s + 2*s - 3*s to k + i*s and give i.
-9
Rearrange (0*u - 3*u + 14*u)*(-5*u**3 + u**3 - u**3) + (28*u**4 + 5*u**4 - 5*u**4)*(0 + 1 - 2) to the form w*u**2 + b + i*u + t*u**3 + h*u**4 and give h.
-83
Rearrange -l - 3*l**4 - 3846 + 3837 + 2*l**3 + 2*l to the form d + w*l**4 + p*l + c*l**3 + i*l**2 and give p.
1
Express -81*w + 162*w + 2*w**4 + 3*w**3 - 81*w + 2*w**2 in the form p*w**2 + x*w**4 + o + h*w + r*w**3 and give r.
3
Express (5*s + 17 - 17)*(0 + 1 - 2)*(-497*s + 250*s + 1 + 245*s) as x*s + r + u*s**2 and give x.
-5
Express -2*q + 2*q**2 + 1324 + 651*q**3 - 2650 + 1324 + (0*q - q + 0*q)*(4 + 2*q**2 - 4) in the form p*q**2 + y + l*q**3 + s*q and give p.
2
Express -2*z**2 - 31*z + 1 - 30*z + 16*z + z**2 in the form x*z**2 + l*z + a and give l.
-45
Express 25*v**2 + 9 - 10 + 2 + (-6*v + 3*v + 2*v)*(-v + 0*v + 0*v) as b*v**2 + m*v + a and give b.
26
Express -7*x**2 - 97 + 46 - 13*x**2 + 48 as d + b*x**2 + k*x and give d.
-3
Rearrange (1 - 2*h - 1)*(0 - 3 + 1)*(-1 + h + 1)*(-4 - 7 + 9 + 87*h) to the form v + c*h**3 + q*h + i*h**2 and give i.
-8
Rearrange (1 + 3 - 2)*(-36 - 138*v**2 + 25*v**2 + 37) to l*v + f + a*v**2 and give a.
-226
Express -50*c**2 + 2*c**3 + 30*c**2 - 5 - 3*c**3 as y + r*c**3 + k*c**2 + u*c and give y.
-5
Rearrange 252*y**3 + 211*y**3 - 458*y**3 + 172*y + 2 to the form z*y**3 + x*y + r*y**2 + m and give m.
2
Rearrange -57*u**2 + 69*u**2 + 77 - 74 - 8*u**3 to the form t + n*u**3 + f*u**2 + k*u and give t.
3
Express -91*t + 13*t - 82*t as d + u*t and give u.
-160
Express (3*v - 3*v + 2*v)*(v**3 + 0*v**3 + v**3) + 281*v**4 + v**3 + 160*v**4 - 149*v**4 as d + b*v**4 + f*v + c*v**2 + h*v**3 and give d.
0
Rearrange 269*s**2 + 106*s**2 - 19*s**2 to the form f*s + t*s**2 + r and give t.
356
Express 171*r + 1831*r + 19*r as g + o*r and give o.
2021
Rearrange (-13 + 44 + 15 + (-2 + 2 - 2)*(-1 + 2 + 1) + 3 - 2 - 2 - 1 - 3 + 5)*(-3*h**2 + h**2 + 4*h**2) to the form s*h**2 + f*h + b and give s.
84
Express (-n - 2 + 2)*(335 + 303 - 168) in the form f*n + h and give f.
-470
Express -305*y - 150*y - 99*y as p*y + m and give p.
-554
Express 2 - 2 - 2*s**2 + 4 - 4 - 5*s**2 + (7 - 10 - 18)*(4*s - 4*s + s**2) + 0*s**2 - 8*s**2 + 4*s**2 in the form p + t*s + l*s**2 and give t.
0
Express -8 + 19*i - i**2 - 23*i - 2*i**2 - 23 + 3*i in the form g*i + p + h*i**2 and give g.
-1
Rearrange 2*t - 2*t**4 - 7*t**3 + 2*t**3 + 7*t**3 + (2 + t - 2)*(-14620*t - 7*t**3 + 14620*t) to u + n*t**2 + z*t**3 + v*t**4 + g*t and give v.
-9
Rearrange -15 + 0 - w - w - 2*w**2 - 3 to g + h*w**2 + i*w and give h.
-2
Express 49 - 9*k - 25*k - 10 + 10 + 18*k as v + o*k and give v.
49
Express 1 - w**2 + 10*w**3 - 9*w**3 + 3*w + 2*w**3 - w**3 as j + u*w + r*w**2 + q*w**3 and give r.
-1
Express -2 + 2 - w + (0 + 0 + 1)*(0*w - 5*w + 4*w) + 19 + 68 - w + 27 as f + x*w and give x.
-3
E | {
"pile_set_name": "DM Mathematics"
} |
(1/3)*v*v*(v**(-1/4))**(-46)) assuming v is positive.
v**(-359/15)
Simplify (((f/(f*(f*f*f**0)/f)*f*f/(f/((f/f**(2/3))/f)))**(4/5))**(2/29))**(-3/29) assuming f is positive.
f**(16/4205)
Simplify (y*y**(-27)/y*y**(2/35)*(y**3)**(-29))**(-43) assuming y is positive.
y**(171484/35)
Simplify ((a**(-17))**(3/31)/(a**6)**(-16/9))**(-12/5) assuming a is positive.
a**(-3356/155)
Simplify ((o*o**13)/o**10)/((o/((o/((o**3*o*o)/o))/o))/o**22) assuming o is positive.
o**21
Simplify (((w*w*(w*w**(7/4))/w*w*w)/((w/(w/w**12)*w)/w))/((w**(-10)/w)/(w/(w*w**2*w))))**(-2/55) assuming w is positive.
w**(-7/110)
Simplify (((q/q**30)/q**33)/(q/((q/(q/((q*q**38)/q)*q)*q)/q))**2)**31 assuming q is positive.
q**310
Simplify ((g**(-26)*g**11)**(1/52))**(2/17) assuming g is positive.
g**(-15/442)
Simplify ((h*(h*h**(3/5)*h)/h)/h**(-1/6))/(((h**(1/6)/h)/h*h*h)/(h**2*h))*((h*h**(-5)/h*h)/(h/(h/h**(-5))))**(13/4) assuming h is positive.
h**(177/20)
Simplify (t/(t**(-3)/t))/t**6*(t*(t**(11/2)*t)/t)**17 assuming t is positive.
t**(219/2)
Simplify v*v**3*v/(v*v**1)*(v*v**(-1))**(-1/18)*(v**(-1)*v)**8/((v**(-2/7)*v)/((v**(2/3)*v)/v*v)) assuming v is positive.
v**(83/21)
Simplify ((i*i*i/i**(-31)*i*i*i/i**(2/45))/((i*i*i**(-1/6))/i)**(-2/15))**(-18/5) assuming i is positive.
i**(-3336/25)
Simplify (((w*w**(1/2)/w)/w*w**(-1)*w)/(w**(-2)*w**(2/3)*w))/(w**0*w*(w*(w**(1/2)/w)/w*w*w)/w)**(-5/3) assuming w is positive.
w**(7/3)
Simplify ((f**(-2/3)*f*f**(-13/6)/f)/((f/((f*f**(26/7))/f))/f*f*f/f**(-29)))**26 assuming f is positive.
f**(-16445/21)
Simplify ((t**13)**16/((t/t**1*t*t)/t)**(-50))**(-4/7) assuming t is positive.
t**(-1032/7)
Simplify ((d/d**(-3/10)*d/d**(-11)*(d*d**(-11))/(d*d**(1/12)/d))**(-21))**(1/37) assuming d is positive.
d**(-1351/740)
Simplify ((j*j**5)**(-13)*((j*j**(2/17))/j)/j*(j/j**(2/11))/j)**39 assuming j is positive.
j**(-576615/187)
Simplify (y*y**(-6/13))/(y*y**(1/23))*y**(-12)*y**(-40) assuming y is positive.
y**(-15699/299)
Simplify (((r**(-2/29))**28)**14)**42 assuming r is positive.
r**(-32928/29)
Simplify s**9/(s**(1/5)*s)*s**2/s**8*(s**4*s*s*s**(-5))/(s**(-2))**0 assuming s is positive.
s**(14/5)
Simplify (((p/(p**(2/5)/p)*p)/p*p/(p/p**(-2/9)))/(((p/p**(1/3))/p)/p)**(4/7))/((p/(p/(p/p**1*p*p*p))*p*p*p**(-1))/(p**8/p**3)) assuming p is positive.
p**(989/315)
Simplify ((j/((j/(j**(-17)/j))/j))/j)/j**(-25)*(j**(-19))**(-5/21) assuming j is positive.
j**(242/21)
Simplify ((a*a**(-12)*a**3/a)/(a**(-2/5)*a*a*a**(-14)))**(34/3) assuming a is positive.
a**(578/15)
Simplify ((n**(1/12))**(8/9)*(n**(-7))**(-25))**26 assuming n is positive.
n**(122902/27)
Simplify (t**(3/4)*t**6*t**(-1)/((t/t**(2/19))/t))/((t**0)**(-12)*(t/t**(2/3))**39) assuming t is positive.
t**(-543/76)
Simplify ((j**(1/3))**(-6/13)/(j**(1/3))**(-6/7))/(((j**(-1/5)*j)/(j*j**4/j*j*j))/(j**(1/7)/j**(-2))) assuming j is positive.
j**(3401/455)
Simplify ((m*m**(-8))/m**(-5))**(22/7)*((m**(-2)*m)/(m/(m*m**(7/5))))**46 assuming m is positive.
m**(424/35)
Simplify (((y*(y*(y*y**(14/13))/y*y*y*y)/y*y**(-10/11))**(-4/15))**18)**20 assuming y is positive.
y**(-57216/143)
Simplify (((u**(1/5)/u)/u*u/(u/((u*u*u*u/(u/(u*u*u**(-23)/u*u*u))*u)/u)))/(u**(-18)*(u*u/u**(-2/41))/u))**(4/9) assuming u is positive.
u**(-1516/1845)
Simplify (((p/(p/(p*p*p**1)*p)*p)**(1/11)/((p**(2/19)*p)/(p*p**(1/4)*p*p)))**(2/13))**(-26/9) assuming p is positive.
p**(-2021/1881)
Simplify ((k**(7/2)/(k*k**(4/3)))/((k*k**(3/4)*k)/k*k**(-6)/k))/(k**10*k/k**(-4)*k)**(-14) assuming k is positive.
k**(2765/12)
Simplify ((((f*f*f**(1/8))/(f**(-6)/f))/(f**3*f/f**(1/4)))**(-2/177))**(-11/7) assuming f is positive.
f**(473/4956)
Simplify y*y**21*y/(y*y**(6/17))*(y*y**(3/4)/y)/(y/y**(-41)) assuming y is positive.
y**(-1333/68)
Simplify o/((o/((o/(o/o**(-7/2))*o)/o))/o*o*o)*(o/(o*o/o**18*o))/o*o**(-5/2)/o*(o/o**39)/o assuming o is positive.
o**(-32)
Simplify (a**(-2/7))**(-7/3)*a**(4/23)/((a/a**(-2/13)*a)/a) assuming a is positive.
a**(-281/897)
Simplify (m**(1/5)*m*m*m**(-1))**5/((m/((m/m**(-6))/m)*m*(m**(-7)*m)/m*m)/(m**(1/2)*m*(m*m**6)/m)) assuming m is positive.
m**(47/2)
Simplify o**1/o**(2/9)*o*o/(o**(-2)/o)*o**4*(o/(o*o**1*o*o))**(-27)/((((o**(-3)/o)/o)/o)/(o/((o*o**(-2)*o)/o))) assuming o is positive.
o**(889/9)
Simplify (w**14/(w*w/w**(-3/4)))**(6/17)/((w**2)**19*(w*w*w**6*w*w)/w**(-1/3)) assuming w is positive.
w**(-4525/102)
Simplify (k/(k*k*k**0))**(-2)/((k*(k/(k*(k*k/k**(2/7))/k))/k)/(k**1/k))*(k**(5/3)*k*k*k/(k*k**(1/6)))/(k*(k/k**(-1/2))/k)**35 assuming k is positive.
k**(-324/7)
Simplify ((y/(y**(26/5)/y))**(-3/23)*(y**(-2/9)*y)/y**(1/26))**29 assuming y is positive.
y**(902683/26910)
Simplify (t*t**2)**(11/4)/((t*t*t**(3/10)/t*t)/(t/t**7))*(t**0)**(-1)/((t/(t/(t**(2/17)*t)))/(t*(t/((t*t**(5/6))/t)*t)/t*t)) assuming t is positive.
t**(1019/1020)
Simplify (r**(4/5)*r**(-3/7))**(2/83)*((r**(-2))**(-38))**(-4) assuming r is positive.
r**(-883094/2905)
Simplify ((s**(-11)/s*s/s**(-5)*s**9/(s/(s*s/s**5)))**(2/31))**(-1) assuming s is positive.
s**(2/31)
Simplify h**3/h**5*h*h/(h**2/h*h)*h/(h*(h/((h**(-2/11)*h)/h))/h*h)*h**(-1/5)/(((h*h/(h*h**6*h))/h)/h)*h**(-1/5)*h**(1/2) assuming h is positive.
h**(541/110)
Simplify (((w**3/w)**40*(w*w**(-5/7))/w**(2/11))**(-14))**(-4) assuming w is positive.
w**(49344/11)
Simplify ((((r*r*r**(-21))/r)/((r**(-19)*r)/r))/(r**25*r*r*r*r*r**4*r))**3 assuming r is positive.
r**(-105)
Simplify ((f/(f**(1/3)/f))**(-1/12))**25/(f**1*f**3*(f**(4/3)*f)/(f/(((f**(-5)/f)/f)/f))) assuming f is positive.
f**(-29/36)
Simplify ((c*c**(-3/17)/c*c)**(3/17)*c*c**(-1)*c/(c*c**(-27))*c)**(2/29) assuming c is positive.
c**(16268/8381)
Simplify ((l**(2/65)*l**(1/13))/(l**(-1)*l**17*l))**(4/5) assuming l is positive.
l**(-4392/325)
Simplify (p*p*p**(-7)*p)**12/(p**(5/6)*p*p*p**(-31)*p*p) assuming p is positive.
p**(-131/6)
Simplify c*c*c**4*c*(c**(-7/3)*c)/c*c**(9/8)*c*c*c/(c/c**(3/2))*c assuming c is positive.
c**(247/24)
Simplify (((k*k**(-4/9))/(k/(k*((k**(-1/13)*k*k)/k)/k)*k))/((k*(k**(3/10)/k)/k)/(k/k**(-4/7)*k)))**(-2/101) assuming k is positive.
k**(-223/4095)
Simplify ((g/(g*g/(g/g**3)))**(-37))**(-1/11)*(g**(-4/11)*g*g**1)/((g*g/g**(-3/8)*g*g)/(g*g**(-2/21))) assuming g is positive.
g**(-22037/1848)
Simplify ((g**(1/2)/(g*g**(-2/13)*g))/(g**3/(g/(((g**(-7)/g)/g)/g))))/(((g/((g*g/(g**(5/4)*g*g))/g)*g)/g)/g*g**(-2/17))**(-7/3) assuming g is positive.
g**(30841/2652)
Simplify (y*((y*y*y*y*y**(1/50))/y*y)/y*y/(y/(y**(-21)*y)))/(y**(-26)*y/y**(2/19)) assuming y is positive.
y**(8669/950)
Simplify ((((v/(v*v**(-2/3)*v))/v)**(-3/14)*(v/(v/(v**(-1/4)*v)))**(-1/63))**(9/4))**0 assuming v is positive.
1
Simplify ((x/(x/x**25))/x)**(-11/2)/((x/(x**(-6)/x))/x**(1/37)) assuming x is positive.
x**(-5179/37)
Simplify (o**(-2)/o*o/(o*(o**(-2/13)*o)/o))**(3/5)/((o/o**6*o*o*o*o**(2/3))/(o**5*(o/(o/(o/(o**6*o)*o)))/o*o)) assuming o is positive.
o**(-73/195)
Simplify (l**(-14)*l/((l/l**0)/l)*l**(1/29)*l**12)**3 assuming l is positive.
l**(-84/29)
Simplify ((p**(-1/64))**4/((p/(p*p**(-24)))/p*(p*p*p/p**(5/7))/p*p))**(-6/19) assuming p is positive.
p**(8517/1064)
Simplify k/k**(-38)*k*(k*k**(-34))/k*(k**(-22)/k)/(k*k/k**40) assuming k is positive.
k**21
Simplify (a**4/a**(4/5))**(-42)*a**(-4)/(a*a**3)*(a**(-2)*a)**(-5/11) assuming a is positive.
a**(-7807/55)
Simplify (v/v**3*v*v**(1/16)*v**7*v*v**(2/33))**(2/19) assuming v is positive.
v**(3761/5016)
Simplify ((((m*m**3*m)/m**(-7))**(-44/7))**(-20))**(-2/13) assuming m is positive.
m**(-21120/91)
Simplify ((w**(6/7)*w)/((w/w**(-2/3))/w))**13*w**1*w*w**1/w*(w**1)**(-48) assuming w is positive.
w**(-641/21)
Simplify ((i**(-1/2)/(i/((i/((i**1*i)/i))/i))*(i**(1/4))**(-2))**(-1/36))**(-9/2) assuming i is positive.
i**(-3/8)
Simplify (((p**(-5)*p)/p*p**14)/(p**(-4/7)/p**(1/23)))**(2/49) assuming p is positive.
p**(3096/7889)
Simplify (y**(-2/19)/(y*y**(-13)*y))**(-48)/((y*y*y**(-2/9)/y*y)/y*y/y**(-1)*y*(y**(-1))**17) assuming y is positive.
y**(-87163/171)
Simplify ((i/(i**(-4)/i))/i*i*i*i**23*i*(i/(i*i**(-41)*i))/(i**(-28)*i))**(1/18) assuming i is positive.
i**(49/9)
Simplify (((v*v**(-1/13))/v**(-3))/(((v*v**(-1/3))/v)/v)**(-13/7))/(v*(v*(v/v**2*v)/v*v)/v*v**(-1/9)*v)**(-16) assuming v is positive.
v**(25937/819)
Simplify ((z**2/(z*z**(-8/7)))/(z**(-8))**(1/10))**(-2/25) assu | {
"pile_set_name": "DM Mathematics"
} |
1/6?
1/6
Which is the closest to -1/15? (a) 2/11 (b) 3/7 (c) -1/30 (d) -0.341 (e) -2 (f) -1/3
c
What is the nearest to -100.5 in -0.08, 3, -3, 4?
-3
Which is the closest to -33? (a) -0.009 (b) 140 (c) 3 (d) 16
a
Which is the closest to 29? (a) -2/17 (b) -2 (c) -2/5 (d) -0.11 (e) -6
d
What is the closest to -13 in 2/27, 0.4, 0.2, -1.9, 4, 85?
-1.9
Which is the nearest to -12? (a) -5 (b) -0.583 (c) 2/169 (d) 0
a
Which is the closest to 1? (a) 439 (b) -14 (c) -0.04 (d) -8 (e) -1
c
Which is the nearest to 0.04? (a) 56 (b) 13178 (c) 8
c
What is the closest to 15/364 in 18, -2, 0.4, 23?
0.4
What is the nearest to -0.1 in 17, 15, 0.4, -26, -2?
0.4
What is the closest to 1/21 in 8/15, -2, 1/5, -3, 12, 4?
1/5
Which is the closest to -1? (a) -0.2 (b) 3/3557 (c) 12 (d) -1
d
What is the nearest to 1.8335 in 1, -1, -0.4, -1.6?
1
Which is the closest to 2/631895? (a) 2/5 (b) -0.3 (c) -2 (d) 2/13
d
What is the closest to 6 in -4/9, 5/59, 36?
5/59
What is the closest to 119/3 in -0.9, -5, 5, 1/16?
5
Which is the nearest to 151? (a) 0.7 (b) -0.1 (c) 0.2 (d) 2/7 (e) -0.09
a
What is the closest to 7 in 0.2, 2, -1/87, -0.4, 0.297?
2
What is the closest to -1 in 4, 55, -0.3, -1.35, 39?
-1.35
Which is the closest to 2? (a) -2/5 (b) 0.4 (c) -17 (d) 25/8 (e) 5577
d
Which is the closest to -0.1? (a) 1.8589 (b) 90 (c) 3
a
What is the nearest to 0.1 in 57, -3, 193/4, -4/7?
-4/7
Which is the nearest to -0.7? (a) -2/3 (b) 953 (c) -0.26611
a
What is the nearest to -41 in -0.73, -0.5, -4031/4?
-0.73
What is the nearest to 9.4 in -5, 0.2, 33, -26?
0.2
Which is the closest to -2/3? (a) 402 (b) 3/26 (c) -3/449
c
Which is the nearest to 1/3? (a) -4 (b) -11/7 (c) -3/10 (d) 2/23 (e) 5
d
Which is the closest to 125? (a) -591 (b) 2/5 (c) 0.6
c
What is the closest to 151/6 in 0.093, 0, 3, -5, 4?
4
What is the nearest to 3/94 in 278, -1, -2/13, -1/3, 8?
-2/13
Which is the nearest to -0.05? (a) -10 (b) -2/3 (c) -2 (d) -0.5 (e) 0.3 (f) 37
e
Which is the nearest to 273454/7? (a) 4 (b) -2 (c) 3
a
Which is the nearest to -204/7? (a) -0.4 (b) -5 (c) 2/737
b
What is the nearest to 0.2 in 4585, 3.3, -1, -1/2?
-1/2
Which is the closest to -279635? (a) -2 (b) 0 (c) 32
a
What is the closest to 0.1 in 226, -65, 100?
-65
Which is the closest to 6/7? (a) 153 (b) -1 (c) 38 (d) 2/163
d
What is the closest to -7 in -2, -14, 71, 0.2, -71?
-2
What is the nearest to -0.1 in -3/8, 1/6, 8.69, 196?
1/6
Which is the closest to 284? (a) -1/4 (b) 15/7 (c) 28 (d) -21 (e) 5
c
What is the nearest to 92 in -11, -2/219, -9, -3?
-2/219
Which is the nearest to 0.4? (a) -1.2 (b) 327.1 (c) -1 (d) 0
d
Which is the closest to -36? (a) 714 (b) -6 (c) 7/6
b
Which is the nearest to -5? (a) 2/7 (b) 196/13 (c) 1.34
a
What is the closest to -1/2 in -118, -17/3, 394?
-17/3
Which is the closest to 0.2? (a) 8 (b) 1.43 (c) 2/35 (d) -8.16
c
What is the closest to -7.586 in 4, -2, 281/5?
-2
Which is the nearest to 0.02? (a) 0.1 (b) 24685 (c) -2/11 (d) -4 (e) 0
e
Which is the nearest to -1/2? (a) -4 (b) -109 (c) -1 (d) -7/18 (e) 3/8 (f) 5
d
What is the nearest to 72 in -10, -3, -0.013, 1.18, -0.1?
1.18
What is the closest to -1/3 in 46, 4/5, 4, -2/61, 8?
-2/61
Which is the closest to 1960.1? (a) -1 (b) -0.4 (c) -4 (d) 1/3 (e) -5 (f) 0.4
f
Which is the nearest to 7? (a) -0.038 (b) -761 (c) 0.2
c
What is the closest to -356 in -47, 269, 4/5?
-47
What is the nearest to 2 in 3/2, -0.4, 5, -4/1495?
3/2
Which is the closest to -2? (a) -14148/29 (b) 14/5 (c) -2/9
c
What is the closest to 6 in 0.7, -2, 0.5, -2/11, -23172, 3?
3
Which is the closest to -0.6? (a) -1/3 (b) -1818287 (c) -5
a
What is the closest to -2/27 in 5/3, -6/11, -17, -0.056, 0.3?
-0.056
What is the nearest to -4478 in -5, 3/14, -7/8?
-5
Which is the nearest to -69? (a) 0.8 (b) 3/5 (c) 0 (d) 3170
c
Which is the nearest to 2? (a) -2 (b) 1248 (c) 12346/5
a
What is the nearest to -3 in -0.4, -3, 595.4, -4/9?
-3
Which is the closest to -0.1? (a) 2/13 (b) 18401 (c) 0.4 (d) 2 (e) -3
a
What is the nearest to 1/6 in -32, 176/15, -2/7, 0.06, 1?
0.06
What is the closest to -33 in 2, -4/3, -1/4, -7, 2226, 0.3?
-7
What is the nearest to 11 in 3.1, -1/4, 0, -2/55?
3.1
What is the closest to -2 in 1698, 519, 2/13, 5?
2/13
What is the nearest to -4620 in 13, 2, -3?
-3
What is the closest to -2 in 3, 8/3, 738?
8/3
Which is the nearest to 3? (a) 35 (b) -3/5 (c) -2/5 (d) 181/3 (e) 2
e
Which is the nearest to 2/25? (a) 39 (b) -0.4 (c) -38.4 (d) -2/11
d
Which is the closest to 8/3? (a) 3/281 (b) 1 (c) 0.4
b
Which is the closest to -6? (a) 3.47 (b) -1 (c) 1 (d) -2 (e) -0.3
d
Which is the closest to 126? (a) -3 (b) 3/7 (c) 20 (d) -0.084 (e) 0.4
c
Which is the closest to 0? (a) -0.3 (b) 0.117 (c) -393.1 (d) -0.6
b
Which is the closest to 9/7? (a) 5 (b) 142.2 (c) -5
a
What is the nearest to 9.9 in 59.1, 2, -0.3, -4, -117?
2
What is the closest to 0.1 in -0.14, 160, 42, 7, 0?
0
Which is the nearest to -162? (a) 0 (b) 0.4 (c) 2/7 (d) -11 (e) 1.3 (f) -3
d
What is the closest to 492 in -13, 1, -228?
1
What is the closest to 764 in -0.06, -2, 79, -0.5?
79
What is the nearest to -3.804 in -1, -8, 4425?
-1
What is the closest to 4 in 2, -5, 18329?
2
Which is the nearest to 39? (a) 13 (b) -4 (c) 353
a
What is the nearest to -2/9 in -1569, -0.54, -1?
-0.54
Which is the closest to 1? (a) 4/7 (b) -2/11 (c) 71277/11
a
Which is the closest to -92? (a) -4/5 (b) 3 (c) 1/6 (d) 5 (e) -14/9 (f) -11.7
f
Which is the closest to 0.1? (a) -0.4 (b) -2 (c) -27633 (d) -4 (e) -10
a
What is the nearest to -2/21 in 2607/5, -0.08, 11/5?
-0.08
What is the nearest to -1 in -4, -0.3, 43/121, 30, -0.15?
-0.3
What is the closest to -1/2 in 9, -3, -2/107, -9?
-2/107
What is the nearest to 319 in -44, 2, -21?
2
What is the nearest to 2/5 in -250899, 1/16, -1/5?
1/16
Which is the closest to 0? (a) -17511787 (b) 5 (c) -2/3
c
What is the nearest to 2/25 in -2, 0.4, -1/3, 486, 0.1?
0.1
Which is the closest to 4/51? (a) -1 (b) -65 (c) 158 (d) -4/3 (e) -4
a
What is the nearest to 23114 in -18, -0.05, 4, -79?
4
What is the nearest to -1/2 in 2/599, -1/2, -11, -1, 97, 0.5?
-1/2
What is the closest to 1 in 0, 0.5, -12/5, -27539?
0.5
Which is the nearest to 1? (a) -4 (b) 14 (c) -5685 (d) -2
d
What is the nearest to 6 in 1/3, 1.1, 10/13, -1707, 1/4?
1.1
Which is the closest to 5/4? (a) 6/143 (b) 0.5 (c) 6/10321 (d) 0.4 (e) 1/5
b
Which is the nearest to 7.27? (a) -6 (b) 0 (c) 358
b
Which is the nearest to -0.1? (a) 5/3 (b) 2/9 (c) 0.03 (d) -72 (e) 141
c
What is the closest to -2/3 in 117/2, 1/3, 2.11, 11?
1/3
Which is the nearest to 0.1? (a) 65 (b) 0.3 (c) 1 (d) -47 (e) -0.5
b
Which is the closest to -0.5? (a) 0.048 (b) 17/5 (c) 5 (d) 54
a
What is the nearest to -13/2 in -49, 3, 0, -0.3, -9, 360?
-9
Which is the closest to 2/3? (a) -467 (b) -1/13 (c) 139 (d) -213
b
Which is the closest to 2? (a) -0.5 (b) 3/2992 (c) 0.5 (d) -2/15 (e) 4 (f) 5
c
Which is the closest to -2? (a) -0.3 (b) 1149855 (c) -58 (d) 3/7
a
Which is the closest to -3/16? (a) -4 (b) 0 (c) -46/11 (d) -2 (e) -2.6
b
What is the nearest to 1 in -6/5, 1/3, 2, -0.3429?
1/3
What is the closest to 4/5 in -1/2, 4/97, 0.3, 928?
0.3
What is the closest to 1.5 in 1/2, -2/9, 646, 0.02?
1/2
Which is the nearest to -1/17? (a) 2/205 (b) -13 (c) 3 (d) 4 (e) 5
a
What is the nearest to -2/7 in 1/6, -0.033, 47/27, 0.4?
-0.033
Which is the nearest to -0.1? (a) 4 (b) 1.437 (c) 22/19
c
Which is the closest to -0.3? (a) -3 (b) -16 (c) -31 (d) -1.1 (e) 2 (f) 0
f
What is the nearest to -1 in -1.4, -0.1, 2, -2/55, 2/359?
-1.4
What is the closest to -2/3 in 1/26, -3/4, -0.6, -109.3, 1/7?
-0.6
Which is the closest to 0.1? (a) -0.2 (b) 134 (c) -2 (d) -15.9 (e) 2
a
Which is the nearest to 3? (a) -5 (b) 14/121 (c) -1/10 (d) 10.9 (e) -3 (f) 2
f
What is the closest to 0.6 in -4/605, 2/45, -3, -1/5?
2/45
What is the closest to 5 in -5, 750, -6?
-5
What is the closest to -1/5 in -13, 3/5, 3, 275/2, -3/5?
-3/5
What is the closest to 2/3 in -593, 2/5, 6, 2/19, -20.5?
2/5
Which is the nearest to -2? (a) 0 (b) 9933 (c) 144
a
What is the closest | {
"pile_set_name": "DM Mathematics"
} |
0. Calculate b.
-8, -2/9, -2/20089
Determine m, given that 2368*m**3 + 265212*m**2 + 262400*m - 444 = 0.
-111, -1, 1/592
Factor -t**2 - 108*t + 899584.
-(t - 896)*(t + 1004)
Let -4*z**4 + 4170372*z**3/5 + 10008972*z**2/5 + 7506748*z/5 + 1668168/5 = 0. Calculate z.
-1, -2/5, 208521
What is n in -n**3 - 66664847*n**2 - 133329691*n - 66664845 = 0?
-66664845, -1
Factor -2*n**3 - 8038*n**2 + 39251922*n + 158484982230.
-2*(n - 4435)*(n + 4227)**2
Let -6*j**3/11 + 21750*j**2/11 - 496932*j/11 - 518688/11 = 0. What is j?
-1, 24, 3602
Factor v**2 + 7743*v + 6134912.
(v + 896)*(v + 6847)
Factor 2*b**2 - 20930*b - 272428.
2*(b - 10478)*(b + 13)
Find s such that 2*s**5 + 4243*s**4 - 132592*s**3 - 2839965*s**2 + 1452600*s = 0.
-2152, -15, 0, 1/2, 45
Solve -40094224*h**3 + 1042981712*h**2 - 13830852*h + 45864 = 0 for h.
21/3166, 26
Let 2*k**5 - 334*k**4 - 19488*k**3 - 247680*k**2 = 0. Calculate k.
-24, 0, 215
Find a such that -a**3 - 24745*a**2 + 1165014*a - 5206320 = 0.
-24792, 5, 42
Suppose -5*m**2 + 2085270*m - 377270065 = 0. What is m?
181, 416873
Find h, given that -h**3/3 - 291850*h**2 - 63882025024*h + 383295652352/3 = 0.
-437776, 2
Factor -22*h**4/5 - 551156*h**3/5 - 4602536736*h**2/5 - 12810533310092*h/5 + 1164784135102.
-2*(h + 8351)**3*(11*h - 5)/5
What is h in -2*h**5/13 + 386*h**4/13 + 15144*h**3/13 - 3913120*h**2/13 - 44333696*h/13 = 0?
-92, -11, 0, 148
What is t in -2*t**3/15 - 245734*t**2/15 - 17836144*t/3 + 59781464/5 = 0?
-122503, -366, 2
Solve -k**2/3 + 6980*k + 3624543 = 0.
-507, 21447
Suppose 2*h**2 + 33036*h - 70435638 = 0. What is h?
-18429, 1911
Solve -529*w**5/7 + 209691*w**4/7 + 549720*w**3/7 + 51300*w**2 = 0.
-30/23, 0, 399
Find b such that -18*b**5 + 47992*b**4 - 726434*b**3 + 159060*b**2 = 0.
0, 2/9, 15, 2651
Find d such that -2*d**2/3 - 3310*d/3 + 68600 = 0.
-1715, 60
Determine h, given that 2*h**4 + 220*h**3 - 27280*h**2 - 1936380*h - 12147282 = 0.
-159, -51, -7, 107
Factor -2*a**2/9 - 207464788*a/9 - 5380204782485618/9.
-2*(a + 51866197)**2/9
Solve 2*n**5/9 + 1158*n**4 - 253274*n**3/3 + 4911890*n**2/9 - 763100*n = 0 for n.
-5283, 0, 2, 5, 65
Factor -h**4/4 - 125*h**3/2 + 68186*h**2.
-h**2*(h - 412)*(h + 662)/4
Solve 5*n**3/3 - 584150*n**2/3 + 5732284580*n - 2629129379640 = 0.
466, 58182
Factor 3*f**3 - 13615677*f**2 + 15448881539520*f + 15448895155200.
3*(f - 2269280)**2*(f + 1)
Determine m so that 3*m**5 + 648*m**4 - 97644*m**3 - 504678*m**2 + 97641*m + 504030 = 0.
-317, -5, -1, 1, 106
Factor g**3/2 + 188738*g**2 - 1132437*g/2.
g*(g - 3)*(g + 377479)/2
Let -3*b**2 - 17318598*b - 24994486390467 = 0. What is b?
-2886433
Factor -3*h**3 + 5072262*h**2 + 10144533*h + 5072268.
-3*(h - 1690756)*(h + 1)**2
Factor -2*a**2/9 - 29248*a/9 + 13835254/3.
-2*(a - 1303)*(a + 15927)/9
Solve -2*z**3/5 + 897698*z**2/5 - 100737649558*z/5 + 1108005526342/5 = 0.
11, 224419
Let -m**2 - 214812*m + 1074085 = 0. Calculate m.
-214817, 5
Find i, given that -4*i**2 + 3111392*i - 3111388 = 0.
1, 777847
Factor -1692077*z**2/3 + z/9.
-z*(5076231*z - 1)/9
Determine l so that 64*l**3/7 - 463536*l**2/7 - 1506999*l/7 - 1224574/7 = 0.
-13/8, 7246
Factor -3*r**2 + 45417*r + 909540.
-3*(r - 15159)*(r + 20)
Let 2*u**2/9 + 62327688*u + 4370333277853512 = 0. What is u?
-140237298
Let 2*a**4 - 28648*a**3 - 630974*a**2 - 3586292*a - 2983968 = 0. What is a?
-13, -8, -1, 14346
Let 3*o**5 + 102090*o**4 + 1530909*o**3 + 7959990*o**2 + 16327488*o + 9796320 = 0. Calculate o.
-34015, -6, -4, -1
Factor 35*j**3/2 - 492099*j**2/10 + 172971744*j/5 + 988418/5.
(j - 1406)**2*(175*j + 1)/10
Suppose 18220*n**3 - 72533822*n**2 + 72523562*n - 7960 = 0. Calculate n.
1/9110, 1, 3980
Factor 2*z**4/5 + 53836*z**3/5 + 366623834*z**2/5 + 58337658648*z/5 + 2348455939848/5.
2*(z + 81)**2*(z + 13378)**2/5
Determine d, given that d**2/8 - 1429577*d/4 - 714789 = 0.
-2, 2859156
Factor -3*r**4/7 + 8845692*r**3 - 426007432802754*r**2/7 + 976974347847200142660*r/7 + 976974773854694865261/7.
-3*(r - 6879983)**3*(r + 1)/7
Find z such that 16*z**4 + 1287756*z**3 + 34027665492*z**2 + 280817677082180*z - 380250380882959572 = 0.
-27221, 4713/4
Suppose -2*u**3 - 5588*u**2 + 322320526*u - 1309822544184 = 0. What is u?
-15708, 6457
Determine n so that n**3/3 - 1693*n**2 - 369745*n/3 - 1935059 = 0.
-49, -23, 5151
Determine u, given that -15*u**2/4 + 2444653*u/8 + 162977/8 = 0.
-1/15, 162977/2
Find y, given that 13*y**4/8 - 19251*y**3/8 - 264335*y**2/2 - 1017711*y/2 - 75166 = 0.
-49, -4, -2/13, 1534
Suppose 6*t**2/11 - 8628*t/11 + 720366/11 = 0. What is t?
89, 1349
Suppose -2*x**3/13 - 19790384*x**2/13 - 48957392568042*x/13 + 97914864297636/13 = 0. Calculate x.
-4947597, 2
Factor -c**2/4 + 2087289*c/2 - 4356775369521/4.
-(c - 2087289)**2/4
Solve -v**3/3 - 12356*v**2 + 271953*v - 4487890/3 = 0 for v.
-37090, 11
Factor -j**2/5 - 392637*j + 15705544/5.
-(j - 8)*(j + 1963193)/5
Determine l, given that -5*l**2 + 308850340*l = 0.
0, 61770068
Suppose o**2 - 18531233*o + 37062462 = 0. What is o?
2, 18531231
Solve -s**4/2 - 2395*s**3 - 6426253*s**2/2 - 826548030*s - 59551836498 = 0.
-2241, -154
Factor v**2/3 + 1724975*v/3 - 574992.
(v - 1)*(v + 1724976)/3
Factor -3*o**2/5 - 10266564*o/5 + 10266567/5.
-3*(o - 1)*(o + 3422189)/5
Determine d, given that -2*d**3 - 197170*d**2 - 4859402526*d + 4859599698 = 0.
-49293, 1
Find n, given that -4*n**4 + 680916*n**3 - 1361820*n**2 + 680908*n = 0.
0, 1, 170227
Let s**3/2 - 3160*s**2 - 311943*s/2 - 439461 = 0. What is s?
-46, -3, 6369
Factor w**5/3 - 110971*w**4/3 + 3078474247*w**3/3 + 3078807169*w**2.
w**2*(w - 55487)**2*(w + 3)/3
Find i such that -2*i**2 - 19868718*i - 19868716 = 0.
-9934358, -1
Factor -i**3/3 + 106180*i**2/3 - 5519332*i/3 + 23914176.
-(i - 106128)*(i - 26)**2/3
Determine c, given that -4*c**4 - 116713816*c**3 + 233427648*c**2 = 0.
-29178456, 0, 2
Find a, given that -2*a**2/9 - 4916840*a/9 - 4916834/3 = 0.
-2458417, -3
Suppose 4*o**3 + 18776*o**2 + 28932736*o + 14682595200 = 0. Calculate o.
-1950, -1372
Factor z**2 - 122990388*z + 245980772.
(z - 122990386)*(z - 2)
Determine s so that -4*s**5/3 + 26204*s**4/3 - 34920*s**3 + 52360*s**2/3 + 104764*s/3 - 26188 = 0.
-1, 1, 3, 6547
Factor 2*g**2/15 - 220942*g/15 - 1902320.
2*(g - 110600)*(g + 129)/15
Factor -2*b**2/7 + 5659480*b/7 - 4003714233800/7.
-2*(b - 1414870)**2/7
Let -d**3/4 - 14414719*d**2/4 - 7207359*d/2 = 0. Calculate d.
-14414718, -1, 0
Factor -2*i**2/13 + 2595016*i/13 - 15570024/13.
-2*(i - 1297502)*(i - 6)/13
Suppose -u**3 - 1056*u**2 - 79283*u - 300300 = 0. Calculate u.
-975, -77, -4
Find n such that n**2/4 - 4579*n/2 + 2580297/4 = 0.
291, 8867
Determine q, given that 212*q**4 + 9546*q**3 - 51882*q**2 + 40924*q + 1200 = 0.
-50, -3/106, 1, 4
Factor 2*z**2/3 + 6050*z/3 + 332528/3.
2*(z + 56)*(z + 2969)/3
Let -4*n**3 - 360420*n**2 - 10089408*n - 70620368 = 0. What is n?
-90077, -14
Factor l**2 - 27165607*l + 27165606.
(l - 27165606)*(l - 1)
Suppose 4*y**5 + 64*y**4 - 3756*y**3 + 46136*y**2 - 229600*y + 413952 = 0. Calculate y.
-44, 6, 7, 8
Solve -3*y**2 + 15787110*y - 31574208 = 0.
2, 5262368
What is l in l**4/5 + 76439*l**3/5 + 1973201136*l**2/5 + 17835604323584*l/5 + 16373712796635136/5 = 0?
-25136, -1031
What is s in -2*s**2/11 + 378020*s/11 + 378022/11 = 0?
-1, 189011
Let -9*z**4/7 + 13354*z**3/7 + 1723075*z**2/7 - 4898036*z/7 - 167628 = 0. Calculate z.
-122, -2/9, 3, 1603
Factor 5*p**2 - 44070*p - 1770800.
5*(p - 8854)*(p + 40)
Factor -o**3 + 1434*o**2 + 20272*o.
-o*(o - 1448)*(o + 14)
What is f in 44*f**5 - 66540*f**4/7 + 640768*f**3/7 - 109152*f**2 - 4539456*f/7 + 177984/7 = 0?
-2, 3/77, 6, 206
Factor -d**2 + 115648*d - 462576.
-(d - 115644)*(d - 4)
Factor -2*v**2 + 19960*v - 4827072.
-2*(v - 9732)*(v - 248)
Let 2*h**3/11 - 15426*h**2/11 + 857902*h/11 - 2434926/11 = 0. What is h?
3, 53, 7657
Solve -3*d**4/7 - 786*d**3/7 + 17271*d**2/7 + 97470*d/7 - 60912 = 0 for d.
-282, -7, 3, 24
Suppose 2*p**2/11 + 5118*p/11 + 116748 = 0. What is p?
-2277, -282
Solve 4*b**2/9 - 16168*b/9 + 5248288/3 = 0 for b.
1636, 2406
Suppose 5092072803*u**3 + 50920480836*u**2 - 2471937*u + 30 = 0. What is u?
-10, 1/41199
Find p, given that -4*p**2 - 6292*p + 1626296 = 0.
-1799, 226
Determine l so that -2770*l**3 - 37015*l**2 = 0.
-7403/554, 0
Suppose 4*t**3 - 879476*t**2 - 100299252*t - 2858899068 = 0. What is t?
-57, 21998 | {
"pile_set_name": "DM Mathematics"
} |
05144, 1705200, 1705278, 1705378?
1705500
What is the next term in 82926, 82949, 82990, 83049?
83126
What is next in 17146050, 34292099, 51438148, 68584197?
85730246
What is the next term in 5388, 21103, 47144, 83511, 130204, 187223?
254568
What is next in -2761869349, -2761869348, -2761869347?
-2761869346
What comes next: 86, -1008, -3974, -9748, -19266, -33464?
-53278
What is the next term in 9265, 9130, 8907, 8596, 8197?
7710
What is next in 1316552, 2633060, 3949526, 5265950?
6582332
What comes next: -47970, -47995, -48020, -48045, -48070?
-48095
What is next in 17214, 21420, 25622, 29820, 34014, 38204, 42390?
46572
What is the next term in -543, -595, -703, -891, -1183, -1603, -2175?
-2923
What comes next: 8935, 8901, 8895, 8917?
8967
What is the next term in -2805484, -2805534, -2805600, -2805688, -2805804, -2805954, -2806144, -2806380?
-2806668
What comes next: 21516836, 43033672, 64550508, 86067344, 107584180, 129101016?
150617852
What is next in 259, 1818, 5947, 13900, 26931, 46294?
73243
What comes next: -678, 3, 2018, 5367, 10050, 16067, 23418?
32103
What is the next term in -36554, -75036, -115444, -157778, -202038?
-248224
What comes next: 289, 1717, 5539, 12955, 25165, 43369, 68767?
102559
What is next in -11743, -94152, -318007, -754084, -1473159, -2546008?
-4043407
What is next in -47453, -48118, -49909, -53390, -59125?
-67678
What is the next term in -4605432, -9210858, -13816284, -18421710?
-23027136
What is the next term in -4667, -37804, -127745, -302894, -591655, -1022432?
-1623629
What comes next: 5817, 22978, 51503, 91392?
142645
What is next in -15813, -31419, -47013, -62583, -78117, -93603, -109029, -124383?
-139653
What comes next: -854201, -854184, -854141, -854060, -853929, -853736, -853469?
-853116
What is the next term in 2754, 3146, 3716, 4398, 5126, 5834, 6456, 6926?
7178
What is the next term in 332168, 332193, 332228, 332273, 332328, 332393, 332468?
332553
What comes next: 20614, 17086, 13564, 10054, 6562, 3094, -344?
-3746
What comes next: 533, 1238, 1829, 2300, 2645, 2858, 2933, 2864?
2645
What is next in -30148, -69985, -109808, -149611, -189388?
-229133
What is next in 5724, 6169, 7372, 9711, 13564, 19309, 27324?
37987
What is next in -2862947, -2862947, -2862961, -2862995, -2863055, -2863147, -2863277?
-2863451
What is the next term in -791, -2660, -5633, -9740, -15011, -21476?
-29165
What is the next term in -157509, -160870, -164227, -167574, -170905, -174214?
-177495
What is the next term in -104989, -104377, -103765, -103153, -102541, -101929?
-101317
What is the next term in 306236, 2449965, 8268694, 19599923, 38281152?
66149881
What is next in -35827, -71677, -107525, -143371, -179215, -215057?
-250897
What is the next term in 411053351, 411053354, 411053347, 411053324, 411053279, 411053206, 411053099, 411052952?
411052759
What comes next: -2992152, -5984301, -8976450, -11968599?
-14960748
What comes next: 8810, 13367, 17924, 22481, 27038, 31595?
36152
What comes next: 10513, 45191, 102987, 183901?
287933
What is the next term in 176150, 352305, 528460, 704615, 880770, 1056925?
1233080
What comes next: 433, -2837, -8287, -15917, -25727, -37717?
-51887
What comes next: -14700232, -29400465, -44100698, -58800931, -73501164, -88201397?
-102901630
What is the next term in -141143, -143599, -147693, -153425, -160795, -169803, -180449?
-192733
What comes next: -618, -2548, -5782, -10314, -16138, -23248, -31638?
-41302
What is next in 9499, 38136, 85861, 152674, 238575?
343564
What is the next term in -1459, -4731, -9931, -17059, -26115, -37099, -50011?
-64851
What is the next term in 247097, 494214, 741351, 988508?
1235685
What is the next term in -135333, -135694, -136055?
-136416
What comes next: -1986724, -1986782, -1986840, -1986898, -1986956?
-1987014
What comes next: -732, -3994, -9382, -16890, -26512, -38242, -52074, -68002?
-86020
What is the next term in 149483, 149458, 149419, 149366, 149299, 149218, 149123?
149014
What is the next term in 876724, 876714, 876704?
876694
What is the next term in 40505673, 40505633, 40505593, 40505553, 40505513?
40505473
What is next in 3275, 4233, 6851, 11963, 20403?
33005
What is the next term in 112, 305, 660, 1261, 2192?
3537
What is the next term in -23752, -47350, -70798, -94102, -117268, -140302, -163210?
-185998
What comes next: 30677, 63918, 97171, 130442, 163737?
197062
What comes next: -5688, -7145, -8602, -10059, -11516, -12973?
-14430
What comes next: 2656, 5107, 7142, 8551, 9124, 8651, 6922?
3727
What is next in 13761, 57758, 131087, 233748?
365741
What is the next term in 177126, 708796, 1594926, 2835528, 4430614, 6380196?
8684286
What comes next: -999116, -7992842, -26975816, -63942662, -124888004, -215806466?
-342692672
What is the next term in -220414, -440952, -661490, -882028?
-1102566
What comes next: -114290, -228317, -342344?
-456371
What comes next: -61, -1494, -5397, -13012, -25581, -44346, -70549, -105432?
-150237
What is the next term in -161976, -162248, -162522, -162798?
-163076
What comes next: -274876, -275041, -275206?
-275371
What comes next: -37997, -37385, -36359, -34913, -33041, -30737?
-27995
What comes next: 35283, 141094, 317519, 564618, 882451?
1271078
What is next in 14071, 13818, 13565, 13312?
13059
What is next in -9838, -9644, -9450, -9256, -9062?
-8868
What is the next term in 31, -4, -61, -140, -241, -364, -509?
-676
What is the next term in -470569644, -941139289, -1411708934, -1882278579, -2352848224, -2823417869?
-3293987514
What is the next term in 295554653, 591109306, 886663959, 1182218612?
1477773265
What is the next term in -8358, -6439, -4522, -2607?
-694
What is the next term in 6700, 5119, 3538, 1957, 376, -1205?
-2786
What is the next term in 10393, 10273, 9983, 9445, 8581, 7313, 5563, 3253?
305
What comes next: -544, -1226, -2390, -4036, -6164, -8774?
-11866
What is the next term in 740833, 740680, 740527, 740374?
740221
What is the next term in -112707752, -112707753, -112707754, -112707755, -112707756, -112707757?
-112707758
What is the next term in -765, 323, 1435, 2577, 3755?
4975
What comes next: -21142305, -21142313, -21142319, -21142323, -21142325, -21142325?
-21142323
What is the next term in 812447, 812449, 812461, 812489, 812539, 812617, 812729, 812881?
813079
What is the next term in 2914332, 5828662, 8743000, 11657346, 14571700, 17486062, 20400432?
23314810
What is next in -13317, -26468, -39461, -52308, -65021?
-77612
What is next in -34453, -67185, -99915, -132643, -165369, -198093, -230815?
-263535
What is next in -259002740, -259002739, -259002738, -259002737, -259002736?
-259002735
What is next in -71018, -284102, -639242, -1136438?
-1775690
What is next in -13867, -27679, -41383, -54919, -68227?
-81247
What is next in -699, -1277, -1643, -1683, -1283, -329, 1293?
3697
What is the next term in 11710, 46785, 105242, 187081, 292302?
420905
What is the next term in 1875, 8094, 18449, 32934, 51543, 74270, 101109?
132054
What comes next: 282, 556, 1106, 2070, 3586, 5792?
8826
What comes next: -493, -2256, -5181, -9268, -14517, -20928, -28501?
-37236
What is next in -905398, -905401, -905392, -905365, -905314, -905233, -905116, -904957?
-904750
What comes next: -14311, -14320, -14343, -14380, -14431, -14496?
-14575
What is the next term in -5791929, -5791955, -5791989, -5792031, -5792081, -5792139, -5792205?
-5792279
What is the next term in -9553506, -9553499, -9553488, -9553473, -9553454?
-9553431
What is the next term in 752, 3114, 7192, 13106, 20976, 30922, 43064?
57522
What comes next: 14973, 14634, 14285, 13920, 13533, 13118, 12669, 12180?
11645
What is next in 11476, 45201, 101180, 179413, 279900, 402641?
547636
What comes next: -4171, -7084, -9985, -12868, -15727, -18556, -21349, -24100?
-26803
What is next in 14678, 58765, 132252, 235139, 367426, 529113?
720200
What is next in 4263721, 4263732, 4263749, 4263772, 4263801?
4263836
What is the next term in -2208078, -4416146, -6624214, -8832282?
-11040350
What comes next: -2383, -2303, -2223?
-2143
What is next in 28943, 116002, 261169, 464450, 725851?
1045378
What is the next term in -2581, -22118, -75219, -178666, -349241?
-603726
What is the next term in 52632, 105053, 157474, 209895, 262316?
314737
What is next in -957870384, -191 | {
"pile_set_name": "DM Mathematics"
} |
) t
b
Suppose 0 = -3*v - 5*d - 8, -2*d = 2*v - v + 3. What is the smallest value in 0.2, v, 3?
v
Let r = 330 - 326.94. Let w = r - 0.06. Let h = -380/1791 + -2/199. Which is the third biggest value? (a) h (b) -1/7 (c) w
a
Let z = -4 + 1. Let y = -0.22 - 0.08. Let m = 0 - -0.2. Which is the second smallest value? (a) z (b) m (c) y
c
Let k = -0.02 + -0.08. Let l = -0.1 + 2.1. What is the smallest value in k, -4/5, l?
-4/5
Let d = -141 + 140.6. Which is the third biggest value? (a) 3 (b) 1 (c) d
c
Let g(r) = -r**3 - 6*r**2 + 7*r. Let x be g(-7). What is the biggest value in -3, -4, x?
x
Let h be ((-25)/6)/5 - -1. Let j = 18 + -17. Let p = 1.5 - j. Which is the third biggest value? (a) p (b) 0.02 (c) h
b
Let m = -1.9 + 1.4. Let f be (-2)/4*(-4)/(-8). Which is the third smallest value? (a) 5 (b) m (c) f
a
Suppose 0 = i - 12 + 16. Which is the third biggest value? (a) -1 (b) i (c) -2/3
b
Let p = -21.8 + 16. Let y = p - -6. Let v = 0.2 - 0.1. What is the biggest value in -2/15, v, y?
y
Suppose -w - 3 - 1 = 0. Let r = 0.05 + -0.15. What is the biggest value in r, -5, w?
r
Suppose -p + 0*i = -2*i + 8, 5*p - i = 5. Suppose -16 = 6*o - p*o. What is the third biggest value in -0.3, 2, o?
o
Let j be 0 - (-21)/(-6) - -3. Let p = -256/1309 - -6/77. Which is the second biggest value? (a) 0.5 (b) j (c) p
c
Let v = -12.3 - -12.6. What is the second biggest value in -1, 2, v?
v
Let g be 5/(-18) + 6/12. Let d be (-5)/(-12) + ((-66)/24)/11. Which is the third biggest value? (a) d (b) 5 (c) g
a
Let p = -1.2 + 2.2. Let w(a) = a**3 - 4*a**2 + 3*a + 4. Let q be w(3). What is the second biggest value in -5, p, q?
p
Let i = -0.9 + 0.1. Let l = 1 + i. Let h = -2 - -3. What is the second biggest value in 0.5, h, l?
0.5
Let p = 11 + -9. What is the third biggest value in p, -2, 1/4?
-2
Let z = 0.03 + -0.33. Let d = -11.6 + 12. Which is the third smallest value? (a) -2/15 (b) d (c) z
b
Let g be -4 + ((-3)/(-24) - -4). Which is the smallest value? (a) -10 (b) 1/3 (c) g
a
Let o = -102 - -101.5. What is the second smallest value in 0.4, 1/6, -0.4, o?
-0.4
Let j = -0.118 + -1.922. Let g = 2 + j. Which is the second biggest value? (a) -4 (b) g (c) 0.4
b
Suppose -4*v - 20 = -0*v. Which is the second biggest value? (a) -3 (b) -0.3 (c) v
a
Let s = -1020 + 66329/65. Let g = s + -3/65. Let v = 10 + -5. Which is the second smallest value? (a) v (b) g (c) 1/2
c
Let t = 0 + 3. Suppose 0 = -t*q + 1 + 8. What is the third biggest value in -2/9, 5, q?
-2/9
Let s = -0.1 - 0. Let h = 50 - 246/5. Let v(x) = -x**2 - 13*x - 11. Let d be v(-12). What is the third smallest value in d, h, s?
d
Let q be -2*4/56*-2. What is the fourth biggest value in 5, -3, q, 4?
-3
Let w = -0.596 - 2.194. Let n = w + -0.21. What is the smallest value in -1, n, 5?
n
Let v = 4 - 0. Let z = -3.95 + v. Which is the second smallest value? (a) z (b) 0.4 (c) -2
a
Let a = -103 + 102.8. What is the fourth smallest value in 0.1, a, 5, -31?
5
Let k = 57 + -286/5. Let i = -1.1 + 0.1. Let o = 0.25 - 0.05. Which is the second smallest value? (a) k (b) o (c) i
a
Let u = -0.27 - 15.73. Let a = u - -16.2. What is the third smallest value in a, 4, 0?
4
Let o = -41/27 + 2519/1647. Let x be (-479)/(-6405) - (-3)/15. Let p = x + o. Which is the third smallest value? (a) -3 (b) p (c) 1/3
c
Let z be (-2 + 3)/(6/24). What is the biggest value in 2/5, z, -3?
z
Let o = 233 + -1634/7. Let x = 24.3 + -24. What is the third biggest value in o, -5, x?
-5
Let h = 74 + -68.2. Let q = -3 + 3.8. Let m = q - h. Which is the biggest value? (a) -0.4 (b) m (c) -4
a
Let j = -6 + 6.09. Which is the smallest value? (a) 0.2 (b) j (c) 5
b
Suppose 0 = -4*h + 3*h - 5. Let r(y) = 4*y - 1 - 3*y + 0*y. Let k be r(-1). Which is the biggest value? (a) h (b) k (c) -4
b
Let h = -10 + 17.4. Let u = 7 - h. Which is the third biggest value? (a) -0.1 (b) -4/3 (c) u
b
Let l = -6 - -6. Which is the second smallest value? (a) l (b) 7 (c) 2
c
Let k = 0.09 + 0.41. Which is the second biggest value? (a) 1 (b) -1 (c) k
c
Let b be ((-1)/(-6)*-1)/(4/(-6)). Let t = 1 - 0.9. What is the smallest value in 2/11, t, b?
t
Let m = 12 + -24. Let v = m + 13. Let d = 2.94 - -0.06. What is the second smallest value in d, -3/8, v?
v
Let l = 31 + -17. Let d be l/(-20) - (-2)/10. What is the smallest value in -0.4, -5, d?
-5
Let t = 64 - 63.94. What is the third biggest value in -2, 2/13, t?
-2
Let g be 128/252 + (-6)/27. Let t be 14/91 + 0/(-2). Which is the second smallest value? (a) t (b) -10 (c) g
a
Let s = -167 + 163. What is the smallest value in 0, 4, s?
s
Suppose 7*x = 3*x + 8. Let k(i) = -i**3 + 3*i**2 + 2*i - 3. Let f be k(x). Which is the smallest value? (a) f (b) 3 (c) 3/2
c
Let f = 2.3 + -1.3. Let o = -3 - -2.9. Let p be 1*3/7 - 0. Which is the third smallest value? (a) f (b) p (c) o
a
Let o = -20 - -20.3. Which is the second smallest value? (a) 1 (b) o (c) -4/5
b
Let l = 2.2 - 2. Which is the smallest value? (a) l (b) -2 (c) 0.3
b
Let i be 0 - (-3)/(-3)*-1. Let g be (-1)/2 + 3/12. What is the third biggest value in i, 0.5, g?
g
Let n = 64 - 64.58. Let b = -0.18 - n. What is the biggest value in 1/5, -5, b?
b
Let x = -0.7 - -0.4. Let c = 0.09 + 1.41. Let j = 6.5 - c. What is the third smallest value in 3, x, j?
j
Let f be ((-2)/2)/((-5)/(-2)). What is the second biggest value in f, 0.5, -2/17?
-2/17
Let l = -1511/5 - -1968828/6515. Let m = -99043/19545 - l. Let r = m - -27/5. What is the third biggest value in -2/9, 0.1, r?
-2/9
Let q = -11.12 - -11. What is the third biggest value in q, 4, -0.5?
-0.5
Suppose 5*w - 2*w - 15 = 0. Let b = -114 - -453/4. Suppose -z - 3*p = 3*z - 12, 0 = -p. What is the third smallest value in z, w, b?
w
Let s be (-1)/16*-18 - 1. Let k = -1.3 - -1.23. Let o = k + -0.03. Which is the second smallest value? (a) o (b) 0.2 (c) s
c
Let u = 73292/3 + -24712. Let p = u + 284. What is the smallest value in -2, 1/2, p?
-2
Suppose -2*y = t + 32, 5*y - 4*t + 80 = -t. Which is the fourth biggest value? (a) -4 (b) 2/7 (c) 2/11 (d) y
d
Let w = 1.7 - 1. Let k = -0.8 - -0.2. Let x = k + w. Which is the smallest value? (a) x (b) -1/3 (c) 4
b
Let h = 4.61 + -1.61. What is the second smallest value in 31, -4, h?
h
Let l = -340 - -342. Let y = -49/185 - 5/37. Which is the third biggest value? (a) l (b) 1/3 (c) y
c
Let u = 16508 - 82239/5. Let b = -1503/25 + u. Let o be 2/(-9)*3 - -1. What is the biggest value in o, b, 3?
3
Let w be (4*(-1)/(-2))/(-2). Let m be (-14)/10 - 3/(-3). Let z be (3/6)/((-14)/12). Which is the second biggest value? (a) w (b) m (c) z
c
Let f = 2.5 - 2. Let l = f - -5.5. Let j = l + -3. Which is the second biggest value? (a) 4 (b) -1 (c) j
c
Let i = -4 + 4.05. What is the second biggest value in -0.3, -1/2, i?
-0.3
Let v = -1.3 + 5.3. What is the second smallest value in 5, -10, v?
v
Let g = 73 + -149/2. Let v = -2 + -3. Which is the third smallest value? (a) g (b) v (c) 4
c
Let s = -56 + 57. Which is the third biggest value? (a) s (b) -4 (c) -0.4
b
Suppose -2*z = -z - 8. Suppose -3*l + 20 = -z*l. Let u(v) = -v**2 - 3*v + 5. Let s be u(l). Which is the third biggest value? (a) s (b) 0.4 (c) 4/5
b
Let v(i) = 2*i - 2. Let z be v(2). Let t be (2*(4 - z))/1. Let w = 12 - 14. Which is the third smallest value? (a) t (b) w (c) 3
a
Let u = -0.03 + -2.97. Let z = -186 - -185.5. What is the biggest value in -5, u, z?
z
Let g = 130.2 + -130. Let h = -0.3 - -0.1. Let w = -2 - -3. What is the third smallest value in g, h, w?
w
Let a(m) = -2*m. Let o be a(5). Let s be 12/o*4/6. Let b = 6 + -2. What is the third smallest value in b, s, 1/8?
b
Let w = -0.31 + 0.325. Which is the smallest value? (a) -0.1 (b) -1/4 (c) w
b
Suppose -5*z + 5*a - 45 = 0, 2*z - 7*z = -3*a + 39. Let q be 1*(-4)/z*1. Suppose x + 0 = 3. What is the third smallest value in x, q, -5?
x
Let s = -5 + 9/2. Suppose l = -1, 4*j - l + 16 = 3*l. Let q = j + 2. Which is the third biggest value? (a) s (b) 5 (c) q
c
Let v = -4.06 + 4. Let i = 1.06 + v. Let q = 10 + -14. Which is the smallest value? (a) q (b) i (c) -4/3
a
Let r = -5/32 - 9/352. What is the smallest value in 0.15, r, -0.4?
-0.4
Let j = -0.04 + 0.06. Let l = -4.02 + j. Let h = 1 + -4. What is the third smallest | {
"pile_set_name": "DM Mathematics"
} |
-1/3, 0, 2/7, 1
Find i such that 0 + 1/6*i - 1/6*i**4 + 1/2*i**3 - 1/2*i**2 = 0.
0, 1
Let 8/7*l**2 - 4/7 + 2/7*l**5 - 4/7*l**3 + 2/7*l - 4/7*l**4 = 0. What is l?
-1, 1, 2
Let m(z) be the first derivative of -z**3/12 - 3*z**2/4 - 9*z/4 + 19. Factor m(j).
-(j + 3)**2/4
Let c(z) be the second derivative of z**5/100 + z**4/12 + 14*z. Factor c(k).
k**2*(k + 5)/5
Suppose -3*v - v = 4*r + 8, 4*r = -3*v - 12. Let b be (-10)/15 - 16/r. Factor j**2 + j**2 - 2*j**2 - 3*j**b - 6*j.
-3*j*(j + 2)
Let z = 23/63 - 2/63. Determine k, given that -1/3*k - z*k**2 + 0 = 0.
-1, 0
Let a(j) be the third derivative of -16*j**5/15 + 20*j**4/3 - 50*j**3/3 + 17*j**2. Factor a(b).
-4*(4*b - 5)**2
Let t be 10*5/(11 + -1). Let m(s) be the third derivative of 3*s**2 + 1/180*s**t - 1/72*s**4 + 0 + 0*s + 0*s**3. What is g in m(g) = 0?
0, 1
Let -6*p - 4*p**2 - 3 + p**2 + 12*p**3 - 6*p**5 - 4*p**2 - 3*p**4 + 13*p**2 = 0. What is p?
-1, -1/2, 1
Let r be 7/3 + (-4)/12. Suppose 0 = -28*f + 23*f. Factor f*m - 1/3*m**r + 0.
-m**2/3
Determine m so that m - 2*m**2 + 2 - 3 + 2 = 0.
-1/2, 1
Factor 24*t**2 + 0*t**3 - 45 - 2*t**3 - 2*t**3 + 4*t + 21.
-4*(t - 6)*(t - 1)*(t + 1)
Let x(n) be the first derivative of n**6/9 + 2*n**5/15 - n**4/6 - 2*n**3/9 - 3. Let x(k) = 0. What is k?
-1, 0, 1
Let r(k) = 8*k**3 + 6*k**2 - 3*k. Let c(g) = -3*g**3 - 2*g**2 + g. Suppose 2*m + v = -20 - 2, -5*v - 33 = 3*m. Let d(f) = m*c(f) - 4*r(f). Solve d(l) = 0.
0, 1
Determine n, given that -n**2 - 3/2*n**3 + 0 - 1/2*n**4 + 0*n = 0.
-2, -1, 0
Let z(g) be the second derivative of -g**5/10 - 2*g**4/3 - 5*g**3/3 - 2*g**2 - 4*g. Factor z(j).
-2*(j + 1)**2*(j + 2)
Let -18*k**2 - 5*k + 6*k + 22*k**3 - 5*k + 0*k = 0. Calculate k.
-2/11, 0, 1
Let t be (-1)/(0 + -1)*-1. Let c be t/(-2*3/12). Find x such that 4 - 6*x - 2*x**2 + 5*x**c - x**2 = 0.
1, 2
Suppose -3*i = 2*i - 15. Let h(r) be the second derivative of -1/20*r**5 + 1/6*r**4 + 1/6*r**i + 0 - r**2 - r. Factor h(s).
-(s - 2)*(s - 1)*(s + 1)
Let w(l) = -l**2 - l - 2. Let i be w(-2). Let y be i/(-28) + (-2)/14. Let 2/3*c**3 + 0*c + y - 2/3*c**2 = 0. Calculate c.
0, 1
Let g(r) = 33*r**2 + 60*r + 27. Let q(y) = 8*y**2 + 15*y + 7. Let a(p) = -5*g(p) + 21*q(p). Solve a(u) = 0 for u.
-4, -1
Suppose 2*b - 4 = 3*c, 2*b - c - 5 + 1 = 0. Find n such that n**2 - 3*n**b - 2*n**2 + n = 0.
0, 1/4
Let p(i) = -i**2 + 4*i + 7. Let q be p(5). Let b be 3/q*2/6. Determine z so that b*z + 0 + 1/4*z**3 + 3/4*z**2 = 0.
-2, -1, 0
Let j(f) be the third derivative of -f**5/15 - f**4/24 - 2*f**3/3 - 3*f**2. Let q(a) = a**2 + a + 1. Let u(z) = -j(z) - 3*q(z). Suppose u(p) = 0. Calculate p.
1
Let z(g) be the second derivative of 0 - g - 1/9*g**3 - 1/9*g**2 - 1/18*g**4 - 1/90*g**5. Factor z(y).
-2*(y + 1)**3/9
Let s(a) = a - 7. Let f be s(8). Let h(x) = 2*x**3 + x**2 + x - 1. Let u be h(f). Factor -1/3*n**u - 1/3*n**2 + 1/3*n + 1/3*n**4 + 0.
n*(n - 1)**2*(n + 1)/3
Let i(p) be the second derivative of -p**6/50 - 9*p**5/100 - 3*p**4/20 - p**3/10 - p. Determine m, given that i(m) = 0.
-1, 0
Let h(l) be the third derivative of 0*l - 1/300*l**6 + 0 + 0*l**4 - 1/75*l**5 - 5*l**2 + 0*l**3. Suppose h(f) = 0. Calculate f.
-2, 0
Suppose 2/11*t**4 + 0 - 2/11*t - 2/11*t**2 + 2/11*t**3 = 0. Calculate t.
-1, 0, 1
Let k be 178/9 + -5*12/(-270). Find d such that -40/7*d**2 + 8/7*d + 0 + 14*d**5 - 6/7*d**3 + k*d**4 = 0.
-1, 0, 2/7
Let u be 1/(-2)*-4 - 0. Suppose -2*j**4 + 15 + 16*j**3 - u*j**4 - 15 - 16*j**2 = 0. Calculate j.
0, 2
Let j(r) be the second derivative of -1/15*r**4 - 1/5*r**2 + 1/25*r**6 + 2*r + 0 - 1/25*r**5 - 1/105*r**7 + 1/5*r**3. Factor j(v).
-2*(v - 1)**4*(v + 1)/5
Let r(q) = -4*q**2 + 3*q + 1. Let v(o) = -o - 8*o - 1 + 7*o**2 - o + 4*o. Let j(t) = -10*r(t) - 6*v(t). Let j(f) = 0. Calculate f.
1, 2
Let z = -113/3 + 38. Let j be (3 - 28/24*3)*0. Find k, given that -z*k**3 + 1/3*k + j + 0*k**2 = 0.
-1, 0, 1
Let -1/11*a + 0 - 1/11*a**2 = 0. Calculate a.
-1, 0
Suppose 15*o = 8*o. Factor -3*g - g**2 + o*g**2 + 4*g.
-g*(g - 1)
Let d(s) be the second derivative of -5*s - 1/21*s**4 - 4/21*s**3 + 0 + 1/70*s**5 + 8/7*s**2. Factor d(y).
2*(y - 2)**2*(y + 2)/7
Let m(k) be the third derivative of -5*k**6/24 + 7*k**5/4 - 5*k**4/6 - 56*k**2. Factor m(h).
-5*h*(h - 4)*(5*h - 1)
Let s be 23 + -25 + (-59)/2. Let y = 32 + s. Factor -y - 2/3*c - 1/6*c**2.
-(c + 1)*(c + 3)/6
Let a(n) be the second derivative of -n**7/21 + 8*n**6/45 - n**5/30 - 4*n**4/9 + 4*n**3/9 - n. Determine w, given that a(w) = 0.
-1, 0, 2/3, 1, 2
Let w(n) = -n + 1. Let r(f) = -2*f**3 - 4 + 2*f + 3*f**3 + 1. Let a be -2 + (6/3 + -1)*-1. Let g(h) = a*w(h) - r(h). Find k, given that g(k) = 0.
-1, 0, 1
Let a = -1/21 + 5/7. Determine g so that 2/9*g**3 + 2/3*g + 2/9 + a*g**2 = 0.
-1
Let c(o) = 5*o**4 + 13*o**3 + 13*o**2 + 3*o - 2. Let s(j) = -j**2 - j. Let g(x) = -c(x) - 4*s(x). Factor g(t).
-(t + 1)**3*(5*t - 2)
Let m(x) = x**2 - x. Let z(j) = -2*j**2 + 9*j - 7. Let h(d) = -3*m(d) - z(d). Let h(g) = 0. Calculate g.
-7, 1
Let i be (10 + -15)*2/(-5). Factor -1/4*b**5 - 1/4*b**3 + 0*b**i + 0*b + 0 - 1/2*b**4.
-b**3*(b + 1)**2/4
Suppose 2/5*i**3 + 2/5*i**2 - 2/5 - 2/5*i = 0. Calculate i.
-1, 1
Let x(w) = 4*w**2 + 23*w + 5. Let d(i) = i**2. Let r(q) = 2*q**2 - 12*q - 2. Let p(z) = 4*d(z) - r(z). Let n(u) = 7*p(u) - 4*x(u). Factor n(c).
-2*(c + 1)*(c + 3)
Solve 5/4*j**5 + 1 + 3*j - 17/4*j**3 - 1/4*j**2 - 3/4*j**4 = 0.
-1, -2/5, 1, 2
Let y(r) = -r + 2. Let v be y(0). Factor 5*n**3 - 6*n**3 - 2*n**2 + v*n**3.
n**2*(n - 2)
Let 18/7*q**4 - 22/7*q**2 + 2*q**3 + 4/7 - 2*q = 0. Calculate q.
-1, 2/9, 1
Let w(b) be the first derivative of -2*b**5/5 + b**4 - 2*b**3/3 - 7. What is h in w(h) = 0?
0, 1
Let k(z) = z**3 - z**2. Let t(n) = -5*n**5 + 15*n**4 - 7*n**3 - 13*n**2 + 10*n. Let r(j) = 2*k(j) + t(j). What is y in r(y) = 0?
-1, 0, 1, 2
Let w be ((-1 - -1) + -32)*7/(-42). Factor 14/3*v**3 + w*v**2 + 0 - 98/9*v**4 + 8/9*v.
-2*v*(v - 1)*(7*v + 2)**2/9
Let v be (-268)/(-48) + -5 - 2/6. Let j(q) be the first derivative of 0*q**2 - 1/6*q**6 - 1/5*q**5 + 2 + 0*q + 1/3*q**3 + v*q**4. Determine i so that j(i) = 0.
-1, 0, 1
Let x(s) be the first derivative of -4/7*s - 2/21*s**3 + 4 - 3/7*s**2. Factor x(u).
-2*(u + 1)*(u + 2)/7
Suppose 5*k + 10 = 35. Let o(c) be the third derivative of -1/210*c**7 + 0*c**4 + 0*c - c**2 + 0*c**k - 1/120*c**6 + 0 + 0*c**3. Factor o(h).
-h**3*(h + 1)
Let v(i) be the second derivative of 4/3*i**3 - 5*i + 8*i**2 + 0 - 7/12*i**4 + 1/20*i**5. Let v(f) = 0. What is f?
-1, 4
Let l = -9 - -9. Factor 7*z + 3*z**2 + l*z**2 + 2*z + 6.
3*(z + 1)*(z + 2)
Let i(x) be the first derivative of x**5/30 + x**4/9 - x**3/9 - 2*x**2/3 + 3*x - 7. Let m(r) be the first derivative of i(r). Let m(u) = 0. What is u?
-2, -1, 1
Let c(b) be the third derivative of -b**6/200 + 12*b**2. Factor c(y).
-3*y**3/5
Suppose 2*j - 2 = 2*o, 0*j + j = 3*o - 1. Let b = 31/87 - 2/87. Find v such that -b*v + 0 + 1/3*v**j = 0.
0, 1
Let t(m) be the first derivative of 2*m**3/15 + 11*m**2/5 + 10. Factor t(d).
2*d*(d + 11)/5
Suppose 4*x = n + 23 - 13, 2*n - 2 = -3*x. Let s(d) be the second derivative of 1/3*d**3 + 0 - 4*d + 1/12*d**4 + 0*d**x. Suppose s(q) = 0. What is q?
-2, 0
Let i(s) be the third derivative of 1/48*s**6 + 0*s**3 + 2*s**2 - 1/30*s**5 + 0 - 1/210*s**7 + 0*s + 1/48*s**4. Let i(z) = 0. What is z?
0, 1/2, 1
Let w(q) be the third derivative of q**6/40 - q**4/8 + q**2 - 3*q. Find z, given that w(z) = 0.
-1, 0, 1
Let z(j) = -3*j**2 + 4*j + 3. Let q(w) = 11*w**2 - 16*w - 13. Let s be (-18)/4*(-8)/3. Let i be (3/2)/(2/s). Let t(y) = i*z(y) + 2*q(y). Factor t(m).
-(m - 1)*(5*m + 1)
Let d = 8 + 5. Let a(r) = r**3 + r + 2. Let o be a(0). Let -13*n + d*n - n**o = 0. What is n?
0
Suppose 3*i = 5*o - 69, 2*i - 12 = 6*i. Let x be (-1)/(9/o - 1). Factor -s**2 + 2 + s**2 + x*s + 2*s**2.
2*(s + 1)**2
Let h(d) be the second derivative of 8*d + 4/27*d**3 + 1/180*d**5 + 0 - 5/108*d**4 - 2/9*d**2. Determine y so that h(y) = 0.
1, 2
Let d = 2/5 + -3/10. Let a(z) be the first derivative of 2 - d*z**4 + 1/5*z**6 + 0*z + 0*z**2 - 4/15*z**3 + 8/25*z**5. Factor a(m).
2*m**2*(m + 1)**2*(3*m - 2)/5
Suppose w - 5*t + 8 = -2*w, 2*w - 4 = t. Let s(h) be the second derivative of -h + 2/9*h**3 + 1/60*h**5 + 0 + 1/9*h**w + 0*h**2. Factor s(o).
o*(o + 2)**2/3
Let g(m) = 3*m**3 + m**2 - 4*m - 7. Let p( | {
"pile_set_name": "DM Mathematics"
} |
tor m**2 - 116*m - 236.
(m - 118)*(m + 2)
Solve 2*y**3 + 10*y**2 + 4*y - 16 = 0.
-4, -2, 1
Determine w, given that 3*w**4 - 117*w**3 + 1683*w**2 - 10527*w + 23958 = 0.
6, 11
What is f in -f**4 + 6*f**3 + 36*f**2 - 216*f = 0?
-6, 0, 6
Factor 3*c**2/7 - 456*c/7 + 900/7.
3*(c - 150)*(c - 2)/7
Determine r so that -2*r**3 - 12*r**2 + 64 = 0.
-4, 2
Determine h, given that -27*h**4/4 + 117*h**3/4 + 75*h**2/2 - 81*h + 30 = 0.
-2, 2/3, 5
Factor -g**2/5 - 8*g/5 + 9/5.
-(g - 1)*(g + 9)/5
Factor 21*o**2 - 7176*o - 2052.
3*(o - 342)*(7*o + 2)
Solve -2*u**3/5 + 16*u**2/5 - 32*u/5 = 0.
0, 4
Factor -r**3 - 8*r**2 - 13*r - 6.
-(r + 1)**2*(r + 6)
Factor -p**5 - 22*p**4 - 141*p**3 - 56*p**2 + 1600*p + 1536.
-(p - 3)*(p + 1)*(p + 8)**3
Solve -2*w**3/7 - 2*w**2 + 692*w/7 + 704/7 = 0.
-22, -1, 16
Let k**5 - 7*k**4 + 11*k**3 + 7*k**2 - 12*k = 0. Calculate k.
-1, 0, 1, 3, 4
Factor 3*t**4 - 855*t**3 - 873*t**2 + 4299*t - 2574.
3*(t - 286)*(t - 1)**2*(t + 3)
Factor 21*t**3 - 4653*t**2 + 256743*t + 110889.
3*(t - 111)**2*(7*t + 3)
Find p, given that 4*p**4/3 - 272*p**3/3 + 88*p**2 + 272*p/3 - 268/3 = 0.
-1, 1, 67
Factor -5*k**5 - 35*k**4 - 30*k**3.
-5*k**3*(k + 1)*(k + 6)
Factor 28*x**3/5 + 2416*x**2/5 + 688*x/5.
4*x*(x + 86)*(7*x + 2)/5
Factor -4*p**3 - 68*p**2 - 152*p + 224.
-4*(p - 1)*(p + 4)*(p + 14)
Factor 5*a**3 + 45*a**2 + 90*a.
5*a*(a + 3)*(a + 6)
Factor 9*z**3/2 + 15*z**2 + 33*z/2 + 6.
3*(z + 1)**2*(3*z + 4)/2
Factor 2*q**3/7 - 8*q**2/7 - 22*q/7 - 12/7.
2*(q - 6)*(q + 1)**2/7
Suppose l**2/2 - 23*l/3 + 5/2 = 0. Calculate l.
1/3, 15
Suppose -i**2/5 - 4*i/5 = 0. Calculate i.
-4, 0
Find b, given that -4*b**4 + 20*b**3 + 76*b**2 - 116*b - 168 = 0.
-3, -1, 2, 7
Determine l so that l**5/4 - 5*l**4/4 + 5*l**3/4 + 5*l**2/4 - 3*l/2 = 0.
-1, 0, 1, 2, 3
Factor 3*l**4/4 + 69*l**3/4 - 27*l**2 - 216*l.
3*l*(l - 4)*(l + 3)*(l + 24)/4
Factor 2*k**2/17 + 662*k/17 + 1968/17.
2*(k + 3)*(k + 328)/17
Factor 21*m**4 - 39*m**3 + 15*m**2 + 3*m.
3*m*(m - 1)**2*(7*m + 1)
Factor -n**3/4 + 13*n**2/4 + 57*n/2.
-n*(n - 19)*(n + 6)/4
Suppose -4*a**2 - 52*a + 120 = 0. Calculate a.
-15, 2
Suppose s**4/6 + s**3/6 - 7*s**2/6 - s/6 + 1 = 0. Calculate s.
-3, -1, 1, 2
Determine n so that -6*n**5 + 177*n**4 - 1167*n**3 - 7236*n**2 + 76464*n - 36288 = 0.
-7, 1/2, 12
Suppose 3*x**3 - 66*x**2 + 159*x + 228 = 0. What is x?
-1, 4, 19
Factor 5*c**3 + 125*c**2 + 440*c + 420.
5*(c + 2)**2*(c + 21)
Solve -l**3/5 - 27*l**2 - 4623*l/5 - 4489/5 = 0.
-67, -1
Factor -4*c**4 - 8*c**3 + 20*c**2 + 24*c.
-4*c*(c - 2)*(c + 1)*(c + 3)
Solve q**2/6 - 77*q/2 - 116/3 = 0.
-1, 232
What is h in -3*h**4 - 6078*h**3 + 18252*h**2 - 18258*h + 6087 = 0?
-2029, 1
Find x, given that -2*x**2/3 - 16*x = 0.
-24, 0
Let 27*c**3/2 - 99*c**2 + 93*c/8 + 129/4 = 0. Calculate c.
-1/2, 2/3, 43/6
Factor 4*b**2 + 76*b + 280.
4*(b + 5)*(b + 14)
Factor 2*u**5 + 248*u**4 + 7436*u**3 - 15624*u**2 + 7938*u.
2*u*(u - 1)**2*(u + 63)**2
Factor -3*q**4 + 24*q**3 + 12*q**2 - 96*q.
-3*q*(q - 8)*(q - 2)*(q + 2)
Factor 2*w**2/21 + 1580*w/21 + 312050/21.
2*(w + 395)**2/21
Suppose -4*j**4 - 536*j**3 + 48*j**2 + 6368*j - 8576 = 0. What is j?
-134, -4, 2
Factor 200*o**4/3 + 760*o**3 + 1926*o**2 - 1368*o + 216.
2*(o + 6)**2*(10*o - 3)**2/3
Factor w**4/7 - 138*w**3/7 + 5029*w**2/7 - 18492*w/7 + 17956/7.
(w - 67)**2*(w - 2)**2/7
Determine h so that h**2 + 168*h + 167 = 0.
-167, -1
Let -2*w**5/5 - 36*w**4 + 1804*w**3/5 + 432*w**2 - 1802*w/5 - 396 = 0. What is w?
-99, -1, 1, 10
Solve -2*l**2/7 - 106*l/7 - 300/7 = 0.
-50, -3
Factor -6*s**2/11 + 1194*s/11 + 1200/11.
-6*(s - 200)*(s + 1)/11
Factor -g**2 - 3*g + 270.
-(g - 15)*(g + 18)
Find w such that 5*w**2 + 915*w + 1810 = 0.
-181, -2
Let -z**4 + 10*z**3 + 99*z**2 - 360*z = 0. What is z?
-8, 0, 3, 15
Determine l, given that -l**4/8 + 537*l**3/8 - 535*l**2/8 - 537*l/8 + 67 = 0.
-1, 1, 536
Factor -3*u**3/4 + 81*u**2/4.
-3*u**2*(u - 27)/4
Factor -l**4 - 29*l**3 - 175*l**2 - 147*l.
-l*(l + 1)*(l + 7)*(l + 21)
Suppose -4*i**4 + 76*i**3 - 392*i**2 + 320*i = 0. What is i?
0, 1, 8, 10
Find q, given that -q**3 + 17*q**2 + q - 17 = 0.
-1, 1, 17
Factor -2*v**5 + 8*v**4 - 8*v**3.
-2*v**3*(v - 2)**2
Factor -78*o**4 + 171*o**3 - 30*o**2.
-3*o**2*(o - 2)*(26*o - 5)
Factor -4*b**2 - 3256*b - 662596.
-4*(b + 407)**2
Find g, given that -5*g**3 + 5*g**2 + 245*g - 245 = 0.
-7, 1, 7
Factor 3*f**2 - 452*f - 151.
(f - 151)*(3*f + 1)
Factor 301*m**4/5 - 1804*m**3/5 + 720*m**2 - 2384*m/5 - 16/5.
(m - 2)**3*(301*m + 2)/5
Let 35*x**3/2 - 4380*x**2 + 549375*x/2 - 78125 = 0. Calculate x.
2/7, 125
Factor -s**3 - 21*s**2 + 45*s - 23.
-(s - 1)**2*(s + 23)
Factor t**3/5 - 82*t**2/5 + 1596*t/5 + 3528/5.
(t - 42)**2*(t + 2)/5
Factor 4*b**3 - 240*b**2 + 4800*b - 32000.
4*(b - 20)**3
Determine h so that 2*h**3 - 10*h**2 - 32*h + 160 = 0.
-4, 4, 5
Solve -f**4/2 + 122*f**3 - 11163*f**2 + 453962*f - 13845841/2 = 0.
61
Factor -3*c**4 + 12*c**2.
-3*c**2*(c - 2)*(c + 2)
Factor -8*r**3 - 5280*r**2 - 5274*r - 1318.
-2*(r + 659)*(2*r + 1)**2
Determine d, given that -d**3/4 + 3*d**2/4 + 321*d/4 - 323/4 = 0.
-17, 1, 19
Let 5*m**2 - 1040*m + 54080 = 0. What is m?
104
Suppose -4*i**4 + 20*i**3 - 28*i**2 + 12*i = 0. Calculate i.
0, 1, 3
Factor -75*s**2 - 2540*s - 64516/3.
-(15*s + 254)**2/3
Factor -5*y**3 + 345*y**2 + 350*y.
-5*y*(y - 70)*(y + 1)
Determine c, given that -60*c**2 - c = 0.
-1/60, 0
Determine t, given that -4*t**2/9 + 212*t/9 = 0.
0, 53
What is s in 4*s**3 - 156*s**2 + 296*s = 0?
0, 2, 37
Factor d**5/7 + d**4 - 8*d**3/7.
d**3*(d - 1)*(d + 8)/7
Determine p, given that 4802*p**4/5 - 244216*p**3/5 + 4657548*p**2/5 - 39478264*p/5 + 125484482/5 = 0.
89/7
Suppose v**2/4 + 249*v/2 - 3535/4 = 0. What is v?
-505, 7
Suppose 15*h**5 - 111*h**4 - 213*h**3 - 33*h**2 + 54*h = 0. What is h?
-1, 0, 2/5, 9
Factor z**2/4 + 62*z + 3844.
(z + 124)**2/4
Determine n so that n**4 + 32*n**3 + 142*n**2 + 192*n + 81 = 0.
-27, -3, -1
Determine q, given that -q**2/4 - q/4 + 18 = 0.
-9, 8
Factor 5*l**5 + 255*l**4 + 690*l**3 - 1580*l**2 - 6840*l - 5760.
5*(l - 3)*(l + 2)**3*(l + 48)
Factor -4*o**4 + 748*o**3 - 744*o**2.
-4*o**2*(o - 186)*(o - 1)
Determine w so that 5*w**2 + 11850*w = 0.
-2370, 0
Factor -9*g**4 + 38*g**3 - 53*g**2 + 28*g - 4.
-(g - 2)*(g - 1)**2*(9*g - 2)
Solve -3*d**3/5 + 201*d/5 - 378/5 = 0.
-9, 2, 7
Suppose 3*q**3/8 + 117*q**2/8 = 0. Calculate q.
-39, 0
Factor 3*f**5 - 27*f**4 + 69*f**3 - 9*f**2 - 108*f.
3*f*(f - 4)*(f - 3)**2*(f + 1)
Determine n, given that -n**4/3 + 9*n**3 - 68*n**2/3 - 32*n = 0.
-1, 0, 4, 24
Factor x**2 + 27*x - 1078.
(x - 22)*(x + 49)
Factor -4*p**3 + 928*p**2 - 51920*p - 222784.
-4*(p - 118)**2*(p + 4)
Factor 2*h**2 - 84*h.
2*h*(h - 42)
Suppose -3*h**2 - 6072*h - 3072432 = 0. What is h?
-1012
Find a such that 3*a**5/2 - 39*a**4 + 108*a**3 + 1920*a**2 + 3072*a = 0.
-4, -2, 0, 16
Solve 4*y**4 - 436*y**3 - 900*y**2 + 1332*y = 0.
-3, 0, 1, 111
Solve 5*c**2/3 + 143*c/3 - 58/3 = 0 for c.
-29, 2/5
Factor -3*c**3 + 30*c**2 + 69*c + 36.
-3*(c - 12)*(c + 1)**2
Factor -m**2/3 + 2*m/3 + 1.
-(m - 3)*(m + 1)/3
Factor s**5/4 - 795*s**4/4 + 159195*s**3/4 - 472825*s**2/4 + 117810*s - 39204.
(s - 396)**2*(s - 1)**3/4
Factor -15*j**4 + 33*j**3 + 39*j**2 - 9*j.
-3*j*(j - 3)*(j + 1)*(5*j - 1)
Factor -2*s**3/9 - 70*s**2/9 - 134*s/9 - 22/3.
-2*(s + 1)**2*(s + 33)/9
Determine v, given that v**4/8 - 63*v**3/4 + 3969*v**2/8 = 0.
0, 63
Factor 5*g**3 + 125*g**2 - 130*g.
5*g*(g - 1)*(g + 26)
Factor m**2/4 - 7*m + 13.
(m - 26)*(m - 2)/4
Find s such that -5*s**3 + 545*s**2 - 15120*s + 14580 = 0.
1, 54
What is u in 2*u**2/11 - 2124*u/11 + 563922/11 = 0?
531
Solve -2*t**4/9 - 8*t**3/9 + 4*t**2/3 + 8*t/9 - 10/9 = 0 for t.
-5, -1, 1
Let -2*a**4/9 + 50*a**3/9 - 46*a**2/3 + 134*a/9 - 44/9 = 0. What is a?
1, 22
Factor w**2/9 + 14*w - 127/9.
(w - 1)*(w + 127)/9
Factor 2*h**5/13 + 266*h**4/13 - 810*h**3/13 + 814*h**2/13 - 272*h/13.
2*h*(h - 1)**3*(h + 136)/13
Determine i so that -4*i**4 - 20*i**3 + 44*i**2 + 132*i + 72 = 0.
-6, -1, 3
Let -36*r**3 + 3036*r**2 + 2036*r + 340 = 0. What is r?
-1/3, 85
Factor 15*m**2 + 110*m - 80.
5*(m + 8)*(3*m - 2)
Let 196*r**4/3 - 868*r**3/3 - 635*r**2/3 + 128*r - 15 = 0. Calculate r.
-1, 3/14, 5
Find h such that -h**4/2 + 9*h**3/2 + 24*h**2 + 26*h = 0.
-2, 0, 13
Factor 2*m**2/11 - 30*m/11 - 152/11.
2*(m - 19)*(m + 4)/11
Let 3*q**5 + 24*q**4 + 5 | {
"pile_set_name": "DM Mathematics"
} |
et k = -598 - -632. Is 34 a factor of k?
True
Suppose -7*u + 2*u + 810 = 0. Let r(b) = -15*b**3 + 4*b**2 + 6*b - 17. Let x be r(2). Let k = u + x. Does 26 divide k?
False
Suppose 0 = 2*h + 1840 - 512. Let p be h/(-6) + (-8)/(-24). Let u = p + -56. Does 10 divide u?
False
Does 7 divide (-5)/((-30)/684) + -4 + 4?
False
Suppose -9*s + 10*s - 20 = 0. Is 5 a factor of s?
True
Let c = -8 - -12. Suppose -c*b + 3*b + 16 = 0. Is b a multiple of 4?
True
Let f = 1037 - 951. Does 3 divide f?
False
Suppose 0 = 7*o - 3*o - 160. Is o a multiple of 10?
True
Let m be (-82)/3 + 2/(-3). Let p = m - -30. Suppose p*y = 9 + 23. Is 5 a factor of y?
False
Suppose -45 = 8*k + k. Let w be (3/2)/(3/(-4)). Does 10 divide ((-25)/w)/k*-12?
True
Suppose 15*f - 11*f = 96. Is 15*(-4)/f*-28 a multiple of 35?
True
Is 24 a factor of (-144)/(-10)*60/18?
True
Suppose f = -5*j + 2874, -f + 5*j + 2910 = j. Does 17 divide f?
False
Let r(t) = -t**3 - 3*t**2 + 3*t - 2. Let z be r(-5). Let l = z + -19. Suppose -l = -0*o - o. Is o a multiple of 14?
True
Let x(k) be the third derivative of -25*k**4/24 - 5*k**3/6 - 10*k**2. Is x(-2) a multiple of 5?
True
Let d = -6 + -20. Let f(w) = -w**3 - 27*w**2 - 29*w + 21. Is 33 a factor of f(d)?
True
Let w(q) = 4*q**2 - 12*q + 56. Is 21 a factor of w(7)?
True
Does 14 divide 8 + -11 + 2/(8/3260)?
True
Let h(j) = j**3 - j**2 + 71. Let w be h(0). Let v = 118 - w. Suppose 4*a = -3*y + v, -4*a + 3 + 5 = 0. Is 13 a factor of y?
True
Let t(v) = -v**2 + 40*v - 72. Is t(16) a multiple of 12?
True
Suppose 174 = 3*z + 3*u, 2*z - u = -2*z + 247. Is 2 a factor of z?
False
Let t be (-11609)/(-91) + 6/14. Suppose 5*s = 9*s - t. Is s a multiple of 3?
False
Let g(o) = o**3 + o**2 - o + 2. Let l be g(-2). Let r(n) = -n**2 + n + 12. Let d be r(l). Let u = d + -5. Is u a multiple of 7?
True
Suppose -4*u + 0*u + 1973 = y, 2*u + 2 = 0. Is 63 a factor of y?
False
Let q(c) = 28*c**2 + 4*c - 5. Is 11 a factor of q(2)?
False
Suppose u + 0*u - 3 = 0. Suppose 3*v + 2*w - 280 = u*w, -5*w - 191 = -2*v. Does 12 divide v?
False
Let a = 35 + -33. Suppose k - 4*f - 180 = -k, a*k - 153 = -5*f. Is k a multiple of 6?
True
Let l be ((-20)/(-25))/(2/5). Suppose l*q - 3*m = 22 - 1, 4*m = -4*q + 32. Is 3 a factor of q?
True
Suppose -5*h - 28 = -m, 5*m + 4 = -4*h - 1. Does 2 divide m?
False
Let d be (-2)/((-2)/3) + -2. Is 16 a factor of (448/(-4))/(d/(-1))?
True
Suppose 0 = -2*f - 3*r - 52, 0 = 2*f + r - 0*r + 52. Let o = f + 57. Is o a multiple of 6?
False
Let c(o) = 8*o - 10. Let b(z) = 7*z - 9. Let v(x) = 5*b(x) - 4*c(x). Let f = -28 + 32. Is 7 a factor of v(f)?
True
Suppose -8*p - 386 = 182. Let v = p + 86. Is v a multiple of 9?
False
Let u(z) = -z**3 - 5*z**2 + 5. Let c be u(-5). Suppose -4*q = q + c*g - 850, -3*q + 5*g + 494 = 0. Does 21 divide q?
True
Suppose 47*i = -1931 + 22235. Does 16 divide i?
True
Let j = -2374 - -2384. Does 2 divide j?
True
Let q(f) = -38*f - 19. Let h be q(-4). Let v = h + -88. Is 14 a factor of v?
False
Suppose 2*w = -4, 5*m = 10*w - 7*w + 256. Is m a multiple of 2?
True
Suppose -13*o = -9*o - 3132. Does 15 divide o?
False
Suppose -201 = -2*u + 123. Does 5 divide (4/(-6))/((-6)/u)?
False
Suppose 3*k = 5*k - 6. Suppose 4*z - 2 = 3*p - 2*p, 0 = k*p + z - 7. Suppose 0*a - 50 = -p*a. Does 25 divide a?
True
Suppose 2*t = -2*d + 4056, -9*d = -5*d + t - 8118. Is 14 a factor of d?
True
Let l(o) = -3*o**2 - 11*o + 6. Let m be l(-4). Suppose -3*r + 15 = m*z, 4*z + 15 = -3*r + 42. Is z a multiple of 2?
True
Suppose 2*k - 4*j - 34 = 0, -k = -5*k + 3*j + 78. Let g(q) = -q - 1. Let d be g(-3). Is k - (d + -2 - -3) a multiple of 6?
True
Let r(q) = -q**2 - 12*q + 32. Let o be r(-14). Suppose -260 = -5*a - 5*x, -3*x - 2*x - 181 = -o*a. Is a a multiple of 5?
False
Let a be (-3 - (-2 - -1)) + 6. Let b(d) = -d**2 - 12*d + 8. Let j be b(-6). Suppose a*x + 0*l - j = -2*l, 6 = 3*l. Is 4 a factor of x?
False
Let a be (8/12)/(4/30). Suppose 0 = 4*o + a*k - 156, k + 117 = 3*o - 3*k. Is 8 a factor of o - 2*4/(-8)?
True
Is 10 a factor of (-2*2)/(4/(-691))?
False
Let g be (-155)/9 + 20/90. Let p = g - -11. Does 9 divide -1*23*p/6?
False
Let x = -26 + 20. Does 4 divide (60/(-18) - 5)/(1/x)?
False
Suppose 2*b - 3 = 51. Let k = b - 27. Suppose -3*r = -k*r - 153. Is r a multiple of 18?
False
Let n = 2227 + -1129. Is n a multiple of 29?
False
Let m = 201 - 96. Does 15 divide m?
True
Let l(s) = s**3 - 2*s**2 + 2 + 0*s**2 - 9*s**2 + 14*s. Does 21 divide l(10)?
True
Suppose -16 = -4*r, 3*x - 4 = 5*r + 12. Suppose 4*m = 2*b - 8, -b - 2*b = 4*m - x. Suppose m = 2*d + 10 - 74. Does 9 divide d?
False
Suppose 3*g = 2*v + 1708, 0 = -2*v + 5 - 15. Is g a multiple of 8?
False
Let m(n) = n**2 + 10*n + 7. Let y be m(-9). Let s(v) = 30*v**2 + 3*v. Is s(y) a multiple of 18?
False
Let t be (-1 + 0)*-4 + 0. Suppose 0 = 3*m - 5*a - 359, -3*m - t*a + 349 = a. Is m a multiple of 11?
False
Let o(k) = 2*k**2 + 45*k + 29. Does 52 divide o(-23)?
True
Suppose 0 = 4*l - 5*c - 4742, -3*c + 6 = -0*c. Is 99 a factor of l?
True
Suppose -2*m = -m - 85. Suppose -81*i - 100 = -m*i. Does 11 divide i?
False
Suppose 0 = 8*z - 13*z - 3*d + 121, -d - 29 = -z. Let y be -1*-5*(0 - -1). Suppose -40 = -3*n - 5*q, -3*q + z + 30 = y*n. Does 8 divide n?
False
Suppose 7*c - 1229 - 7549 = 0. Is 38 a factor of c?
True
Let g be ((-1)/(-2))/(6/(-48)). Let b(w) = w**3 + 4*w**2 - 4*w - 4. Let o be b(g). Is 6 a factor of 0 + (2 - o/(-3))?
True
Suppose 4*z - 42 = -5*l, -3 = -4*l + z + 18. Suppose -3 + 111 = l*w. Does 9 divide w?
True
Suppose 2*a - 32 = 4*g, 2*a = g - 2*g + 2. Let f be 5/(45/g)*-6. Suppose 6*v = -f*w + v + 163, -v + 3 = 0. Is w a multiple of 13?
False
Suppose 2*t - 5 = 1. Suppose -t*s - 83 = -563. Is s a multiple of 27?
False
Let t = 82 - 85. Is 12 a factor of (24 - t)*(-16)/(-12)?
True
Let b(f) be the third derivative of f**5/15 - 5*f**4/12 + 3*f**3/2 + 9*f**2. Is b(3) a multiple of 5?
True
Let s(r) = -r**3 + 2*r**2 + 10. Let t be s(0). Suppose t*w - 611 - 249 = 0. Is 43 a factor of w?
True
Let z = -156 + 93. Let i = 94 + z. Does 18 divide i?
False
Let n(a) = -7*a - 1. Let c be n(-2). Suppose g - c = 2. Is g a multiple of 15?
True
Suppose 11*n = 594 + 77. Is n a multiple of 6?
False
Suppose -15*a - 1160 = 5*a. Is (-5)/(-5) + a/(1 - 3) a multiple of 6?
True
Suppose -h - 5*v + 2 = 0, 3*h + 3*v + 2*v + 4 = 0. Let m be (29/h)/((-4)/60). Let g = -68 + m. Is g a multiple of 19?
False
Let g(v) = -17*v - 2. Let o be (-6)/9*(-6)/4. Let x(c) = c + 1. Let h(y) = o*g(y) + 4*x(y). Is 16 a factor of h(-6)?
True
Suppose 3*x + 57 = -0*x. Suppose -2*p + 8*p = 690. Let q = x + p. Does 16 divide q?
True
Suppose -600 = -9*o + o. Does 5 divide o?
True
Suppose 40 = 2*q - 4*q. Let k = 17 + q. Is (-46)/k*3 + 2 a multiple of 10?
False
Let a(r) = -r. Let l be a(-5). Let s = 40 - l. Is s/2*(1 + 1) a multiple of 12?
False
Let v = 65 + -99. Is 4/v + (-138)/(-17) even?
True
Let h(q) = 87*q**2 - 10*q - 22. Is h(-2) a multiple of 35?
False
Let c = 4 - 2. Suppose -3*v + 3 = c*u, 0 = 3*v - 0*v + 5*u + 6. Is v a multiple of 3?
True
Let p(m) be the second derivative of -2*m - 23*m**2 - 29*m**2 + m**3 + 54*m**2. Does 13 divide p(8)?
True
Let i(z) = 6*z + 1. Let w be (1/3)/((-7)/(-63)). Let y be 2 + 3/((-9)/w). Is 7 a factor of i(y)?
True
Let l = -36 + 39. Suppose 0 = -l*x - 15, -4*i + 3*x + 99 = 12. Is i a multiple of 18?
True
Let l(r) = 5*r**2 - 19*r - 61. Does 37 divide l(-10)?
True
Suppose 3*m = 6 + 150. Suppose 5*x - 53 = m. Is 21 a factor of x?
True
Let v = 6732 + -3526. Does 51 divide v/35 + 6/(-10)?
False
Let u = 3817 - 1357. Is 10 a factor of u?
True
Suppose -4*u - 16 = 0, -2*u - 408 = -3*n - 22. Suppose -4*a + 2*a + n = 0. Does 21 divide a?
True
Suppose 48*y = 47*y - 3. Does 8 divide 1*-3 + (-2 - 207/y)?
True
Let t(i) = 84*i**2 + i. Let a be t(-1). Suppose 1 = m + 2, 0 = -2*n + 3*m + a. Is 10 a factor of n?
True
Suppose -b + 5*b = -8. Let t be (0/2)/(1 + b). Suppose t = -3*u, -216 = -4*r + 4*u + u. Is 18 a factor of r?
True
Suppose k = -30 - 0. Is (816/k)/(4/(-10)) a multiple of 17?
True
Let z = -2558 - -2899. Does 31 divide z?
True
Suppose -5*s + 6*n = n - 2000, 0 = -3*n. Is s a multiple of 32?
False
Suppose 3*n + 5*c = -85, 66 + 42 = -4*n - 4*c. Let v = n - -22. Does 20 divide 1/((2 + v)/(-46))?
False
Let l = 876 - 502. Is 17 a factor of l?
True
Let | {
"pile_set_name": "DM Mathematics"
} |
d**2 - 2*d*u**3 + 6 wrt u.
240810*a*d*u - 2*d**3 - 12*d*u
What is the second derivative of 21*h*i**2 - 4*h*i*k - 21*h*i + h*k - 376775*i**2*k*u + 2*i**2*k + 2*i*k*u - 3*i*k - 269*i*u + k*u - 1 wrt i?
42*h - 753550*k*u + 4*k
What is the third derivative of -107964*s**5 - 2110*s**2 - 3544*s wrt s?
-6477840*s**2
Find the first derivative of 6116*j**2*u + 2*j**2 - 24*j*u - 2*j + 10783892*u wrt j.
12232*j*u + 4*j - 24*u - 2
What is the third derivative of 489378752*f*p**3 + f*p**2 + 275*f*p + 292803*f wrt p?
2936272512*f
Find the third derivative of -43173409*a**3 + 661886*a**2 wrt a.
-259040454
What is the second derivative of -51122238*m**4 - 18177*m + 8342?
-613466856*m**2
Differentiate 420760256*x + 189080711 wrt x.
420760256
Find the first derivative of -2*t**3 - 23209*t**2 + 67*t + 48567240.
-6*t**2 - 46418*t + 67
What is the third derivative of -263*m*v**4 - 7*m*v**3 + 8*m*v**2 - 336*v**4 - 2*v**3 + v**2 + 2*v + 454102 wrt v?
-6312*m*v - 42*m - 8064*v - 12
What is the third derivative of -20956*c**5*p + 3492*c**4*p - 73*c**2*p - c**2 + 98*c + 1595*p wrt c?
-1257360*c**2*p + 83808*c*p
What is the second derivative of 11472994*p**2 + 9560*p + 95 wrt p?
22945988
What is the derivative of 38313755*y**4 + 25686985 wrt y?
153255020*y**3
What is the third derivative of d**5*w + 12058301*d**4 - 3*d**3*y + 4*d**2*w - 192177*d**2 + 12*w*y wrt d?
60*d**2*w + 289399224*d - 18*y
What is the second derivative of -30*c**4 - 148016*c**3 - c**2 - 10848505*c?
-360*c**2 - 888096*c - 2
What is the second derivative of -133*f**4*x - 177247*f**2*x**2 + 7*f*x**2 + 1900344*f wrt f?
-1596*f**2*x - 354494*x**2
Find the second derivative of -13540099*b**2*i*t**2 + 3*b**2*t**2 + b*i*t**2 + 2*b*i - 30*b*t**2 + 304*b*t - 7*i - 4*t + 1 wrt b.
-27080198*i*t**2 + 6*t**2
What is the third derivative of -49*d**3*k**2*n - 111229*d**3*k*n - 606877*d**2*k**2 + 22*d**2*n - 2*k**2*n wrt d?
-294*k**2*n - 667374*k*n
What is the derivative of -135810048*u**2 + 110436783 wrt u?
-271620096*u
Find the third derivative of 9441505*l**5 - l**4 - 4355*l**2 + 688*l + 3 wrt l.
566490300*l**2 - 24*l
Find the third derivative of -108790762*r**5 + 947*r**2 + 6*r - 270 wrt r.
-6527445720*r**2
Find the third derivative of 178147013*h**3 - 2013457*h**2 + 11*h - 2 wrt h.
1068882078
What is the derivative of 15980616*g**2 + 23388830?
31961232*g
What is the second derivative of 7*h**3*k**2 - h**3 + 2602003*h**2*k**2 + h**2 + 8*h*k**2 - 12*h*k - h + 13244 wrt k?
14*h**3 + 5204006*h**2 + 16*h
Find the second derivative of -6229998*k**3 - 3*k**2 - 237498*k - 11.
-37379988*k - 6
What is the first derivative of -66524446*j**3 - 2*j - 129460837 wrt j?
-199573338*j**2 - 2
What is the third derivative of -155*y**5 + 13232*y**3 - y**2 - y - 9641395 wrt y?
-9300*y**2 + 79392
Find the second derivative of -18185*c**3 - 2149*c**2 + 199*c + 252319 wrt c.
-109110*c - 4298
What is the first derivative of -2*a*i*z - 7*a*i - 19*a*z + 30*a - 37391*i*z + 228*i wrt a?
-2*i*z - 7*i - 19*z + 30
Find the second derivative of -43935*q**4*u - 331*q**2*u**3 + 12*q*u**2 - 4*q*u + 489*q + 3*u**3 + 3*u**2 wrt q.
-527220*q**2*u - 662*u**3
Find the first derivative of 24*i**4 + 1022*i**3 + 31*i**2 + 3250980 wrt i.
96*i**3 + 3066*i**2 + 62*i
Find the third derivative of c**4*g**2 + 4069852*c**3*g**2 + 228*c**2*g**2 - c**2 - 11*c*g**2 + 3*c*g wrt c.
24*c*g**2 + 24419112*g**2
What is the second derivative of 6067264*n**2 - 56957833*n wrt n?
12134528
Find the second derivative of -162*i**3*v - 7*i**3 + 3591*i**2*v - 2*i**2 + 18*i*v - 2906*v + 760 wrt i.
-972*i*v - 42*i + 7182*v - 4
Differentiate -79*d**2*l - 3*d*l**3 - 9*d*l**2 + 3*l**3 - 50862*l**2 - l - 2 with respect to d.
-158*d*l - 3*l**3 - 9*l**2
What is the third derivative of 360*b**5*j + 688794*b**3*j + 1009*b**2*j + b**2 - 25*b*j - 4*b - 2*j + 2 wrt b?
21600*b**2*j + 4132764*j
Differentiate -18733*l**3 - 108*l*y - 34419562*y with respect to l.
-56199*l**2 - 108*y
Find the third derivative of -12481567*c**3 + 2575*c**2 + 869*c.
-74889402
What is the second derivative of 1830*a**3*b**3 + a**3*b + 1052954*a*b - 86*b**2 wrt b?
10980*a**3*b - 172
Find the third derivative of 86387266*v**5 + 2*v**4 - v**3 + 37216799*v**2 wrt v.
5183235960*v**2 + 48*v - 6
Find the third derivative of 3276258*n**4 + 21*n**3 + 64084937*n**2 wrt n.
78630192*n + 126
Find the first derivative of 14720188*c**4*d**2 - 5061903*d**2 wrt c.
58880752*c**3*d**2
What is the third derivative of -39293*l**6 - 933*l**5*y - 559*l**2 + 548*l*y - 21*l - 7*y wrt l?
-4715160*l**3 - 55980*l**2*y
What is the third derivative of 4734121*h**4 + 260356*h**2 + 3?
113618904*h
What is the third derivative of -3057854*h**3 + 4754*h**2 - 312*h?
-18347124
What is the first derivative of -r**3*s - 324*r**3 + 2*r*s*z - 148752*s*z + 34*s + 298781*z wrt s?
-r**3 + 2*r*z - 148752*z + 34
What is the third derivative of -3429*h**2*v**3*x + h**2*v**2*x - 2*h**2*v**2 - 2*h**2*x + 2*h*v**3*x + h*x + 222*h - 517*v**3 + 3*v*x wrt v?
-20574*h**2*x + 12*h*x - 3102
Find the third derivative of -1044433494*a**3 - 258*a**2 - 808360*a wrt a.
-6266600964
Find the second derivative of 128*h**5 - 2155368*h**4*w - 72*h*w - 2570*w - 185 wrt h.
2560*h**3 - 25864416*h**2*w
Find the third derivative of 41415*c**5 - 2860*c**4 - 2416*c**2 + 20746.
2484900*c**2 - 68640*c
Differentiate 1673*n**4 - 49*n**3 + 2*n**2 + 2*n + 7345346 with respect to n.
6692*n**3 - 147*n**2 + 4*n + 2
Find the third derivative of -10799753*q**5 - 3*q**3 - 1257499*q**2.
-647985180*q**2 - 18
Find the first derivative of -4668200*c*h**2 - h**2 + 16776*h + 69 wrt c.
-4668200*h**2
Find the second derivative of -6698027*a**2 - a + 2102759 wrt a.
-13396054
Find the second derivative of -75*m**3*r - 3*m**3 + 930*m**2*r + 84*m**2 - 460*m*r + 18*m - 44*r - 6 wrt m.
-450*m*r - 18*m + 1860*r + 168
Find the third derivative of 1002410124*f**2*j**3 - 53*f**2*j**2 - 6*f**2*j + 16*f**2 - 2*j**2 - 1049*j wrt j.
6014460744*f**2
What is the third derivative of 77*f**3*m*u**3 + 32262*f**3*m*u**2 - 465*f**2*u**2 + 52*f*u**3 + 12*m*u**2 - 2*u**3 wrt f?
462*m*u**3 + 193572*m*u**2
Find the second derivative of 24*c**3 + 463998*c**2 + 344963065*c.
144*c + 927996
Find the second derivative of -97919271*a**4 - 44277760*a.
-1175031252*a**2
Find the first derivative of -152792819*n**2 - 1048957.
-305585638*n
What is the second derivative of d**2*i**2 + 1662*d**2*i - 38*d**2 - 6044*d*i**2 - 356*d*i + 2*d wrt d?
2*i**2 + 3324*i - 76
What is the derivative of 5*s**2 - 5937302*s*z**2 - 6*z**2 - 472*z - 1884 wrt s?
10*s - 5937302*z**2
What is the second derivative of -41002359*i**2 - 8*i + 2322459 wrt i?
-82004718
Find the first derivative of -437330767*g**2 + 403822247 wrt g.
-874661534*g
Differentiate -63198827*d*j**3 - j**3 + 2*j - 146151 wrt d.
-63198827*j**3
Find the first derivative of 6739419*n + 280138609.
6739419
Find the third derivative of -2*a**3*b**3 - 216770*a**3*b - 89*a**3 + 2*a**2*b**2 + 310*a*b**2 - 490*a + 9*b**3 wrt a.
-12*b**3 - 1300620*b - 534
What is the third derivative of 1188*g**6*k - 328*g**4*k - 53*g**2*k - g**2 + 16*g + 7*k - 4 wrt g?
142560*g**3*k - 7872*g*k
Differentiate -25735*p**3 + 88*p**2*q**3 - 1160*q**3 - q - 2446 with respect to p.
-77205*p**2 + 176*p*q**3
What is the second derivative of -868675*c**3*l**3 + 344*c**3 - 2*c**2*l**4 - 10*c*l - 2*c + 79*l wrt l?
-5212050*c**3*l - 24*c**2*l**2
Find the third derivative of -16396103*v**6 - 2*v**5 + 10*v**2 - 34*v - 52169.
-1967532360*v**3 - 120*v**2
What is the first derivative of -6383520*f + 8136805?
-6383520
Find the second derivative of 174*b**3*q**2*y**2 - 9103*b**3*q**2 - 14*b**3*q*y - 1287*b**2*q*y**2 + 2*q*y**2 - y**2 wrt q.
348*b**3*y**2 - 18206*b**3
What is the third derivative of -485998082*t**3 - 2070*t**2 + 107793 wrt t?
-2915988492
What is the first derivative of -90*o*x + 17542*o + 69285166*x wrt o?
-90*x + 17542
Find the second derivative of 3874213*a**4*r**2 - a**3*r**2 - a*r**2 - 756600*a*r + 7*r**2 wrt a.
46490556*a**2*r**2 - 6*a*r**2
What is the second derivative of 163005286*z**3 + 3978*z + 37092 wrt z?
978031716*z
Find the second derivative of 2*z**4 + 1746*z**3 - 189*z**2 + 195560976*z wrt z.
24*z**2 + 10476*z - 378
Find the second derivative of -751517*x**2 - 335352*x - 17 wrt x.
-1503034
Find the first d | {
"pile_set_name": "DM Mathematics"
} |
2*sqrt(5) - 3
Simplify (-5*(1 + sqrt(12) - sqrt(12)))**2.
25
Simplify -1 + sqrt(60)/sqrt(3).
-1 + 2*sqrt(5)
Simplify (-4 + sqrt(5)*3 + (sqrt(5) + 3)*-6)**2.
132*sqrt(5) + 529
Simplify ((sqrt(130) - (-5*sqrt(130)*2 - sqrt(130)))/(sqrt(810)*1))**2.
208/9
Simplify (((-1*sqrt(720) + sqrt(720))*-4 - sqrt(720)) + sqrt(720) + (sqrt(5) + (sqrt(5)*1 - sqrt(5)))*-5*-4)**2.
2000
Simplify ((sqrt(405) + 0 + 1 - (sqrt(405) - (-1 + 2*sqrt(405) - sqrt(405))))*-1)**2.
405
Simplify (2*sqrt(425))**2 + 6*(sqrt(17) + (sqrt(153) - sqrt(17))) + sqrt(17).
19*sqrt(17) + 1700
Simplify (1 + -1*sqrt(128))*-3.
-3 + 24*sqrt(2)
Simplify 5 + ((sqrt(2448) + -1)*5 - (sqrt(2448) + -1)*-1)**2.
-864*sqrt(17) + 88169
Simplify ((-2 + sqrt(200) + (sqrt(200) - 2*sqrt(200)) - 3*(1 + sqrt(200)))*-1)**2.
300*sqrt(2) + 1825
Simplify (1*(sqrt(117) - (sqrt(117) + sqrt(117) + (sqrt(117)*-1 - sqrt(117)))) - sqrt(117))/((sqrt(144) - 2*sqrt(144)) + sqrt(144) - sqrt(9)).
0
Simplify (2 + -3*sqrt(17) - sqrt(17) - sqrt(17)) + 4.
-5*sqrt(17) + 6
Simplify (sqrt(28) + 0 + sqrt(28) + -3)**2.
-24*sqrt(7) + 121
Simplify sqrt(156)/(6*sqrt(24)/sqrt(2))*-3 + 5.
-sqrt(13)/2 + 5
Simplify -3 + sqrt(45)/((sqrt(45)*-4)/sqrt(5)).
-3 - sqrt(5)/4
Simplify 4 + sqrt(2) + 3 - (sqrt(128) + -5).
-7*sqrt(2) + 12
Simplify ((sqrt(80)/(sqrt(8) + sqrt(128)))/(sqrt(18)/sqrt(36)))**2.
4/5
Simplify -1*sqrt(91)/(sqrt(1008) - sqrt(1008)*-1)*1.
-sqrt(13)/24
Simplify ((sqrt(152)*-2 - sqrt(152))*5 + sqrt(152))/(sqrt(8) - sqrt(16)/sqrt(2)*5).
7*sqrt(19)/2
Simplify (sqrt(19) + 1)*3 + sqrt(19) - (sqrt(1216) + sqrt(1216)*-1 + sqrt(1216))**2.
-1213 + 4*sqrt(19)
Simplify (sqrt(17) + 4*sqrt(153))**2 + sqrt(17) + -1 + 2.
sqrt(17) + 2874
Simplify (1 + sqrt(1900) + sqrt(1900)*-3 - sqrt(1900) - (sqrt(1900) + -1 + 2))**2.
30400
Simplify 1*((4 + sqrt(11) + -1)**2 + sqrt(66)/(sqrt(12)/sqrt(2))).
20 + 7*sqrt(11)
Simplify -2 + sqrt(891) - -4*sqrt(275).
-2 + 29*sqrt(11)
Simplify (-1*(sqrt(33) + sqrt(132)/sqrt(4) + sqrt(33)))/(-2*sqrt(11)*-4).
-3*sqrt(3)/8
Simplify 2 + 4*((6*-1*sqrt(300) - sqrt(300))**2 + sqrt(300) + sqrt(300)).
80*sqrt(3) + 58802
Simplify -3*3*sqrt(52).
-18*sqrt(13)
Simplify 4 + (sqrt(6)/(sqrt(27)/sqrt(9) + sqrt(3)))**2 + -3.
3/2
Simplify (5*(sqrt(1700) + 1 + 2))**2.
1500*sqrt(17) + 42725
Simplify -3 + ((sqrt(99)*2)/sqrt(9))**2 + sqrt(11) + sqrt(11).
2*sqrt(11) + 41
Simplify -2 + (sqrt(52)/sqrt(4) + sqrt(13))**2 + sqrt(13) - (1 + sqrt(13) + -4)**2.
7*sqrt(13) + 28
Simplify -5 + (sqrt(1216) - 6*(sqrt(1216) + sqrt(1216) + 2 + sqrt(1216) + sqrt(1216))) + sqrt(1216).
-176*sqrt(19) - 17
Simplify (-3*-2*sqrt(91))/(1*sqrt(700)).
3*sqrt(13)/5
Simplify 3 + (-2*sqrt(304) - sqrt(304)) - (3 + (sqrt(304) - (0 + sqrt(304)))**2).
-12*sqrt(19)
Simplify (sqrt(143) - (sqrt(143) - 3*sqrt(143))*-6)/(-3*sqrt(539)).
11*sqrt(13)/21
Simplify (sqrt(176) + 0 - (sqrt(176) + 1))**2.
1
Simplify sqrt(448)*1 + 1 + 0.
1 + 8*sqrt(7)
Simplify ((6*sqrt(189))/(sqrt(3)*2*-1))**2.
567
Simplify (sqrt(405) - sqrt(405)*1)**2*3.
0
Simplify -5 + sqrt(72)*-3.
-18*sqrt(2) - 5
Simplify 5 + sqrt(80) + (-2*sqrt(80))**2 + -5.
4*sqrt(5) + 320
Simplify sqrt(95)/sqrt(45)*2 - (sqrt(19) + sqrt(57)/(-1*sqrt(3)) + -4).
2*sqrt(19)/3 + 4
Simplify -4 + (sqrt(2) - sqrt(16)/(sqrt(24)/sqrt(3))).
-4
Simplify (sqrt(160)*2)/((sqrt(88)*-1 - sqrt(88))/sqrt(11) + sqrt(8)).
-4*sqrt(5)
Simplify (-2*(1*sqrt(45))/sqrt(9))**2.
20
Simplify (-5 + sqrt(13)*-2)*5*5.
-50*sqrt(13) - 125
Simplify (sqrt(468) + 3 + 5)**2.
96*sqrt(13) + 532
Simplify ((sqrt(114) + sqrt(114)*-1)/sqrt(6))**2 - (sqrt(19) - (sqrt(19) - (0 + sqrt(19) + 1))).
-sqrt(19) - 1
Simplify (-6*sqrt(133)*-2)/(2*sqrt(175) - sqrt(175) - sqrt(175) - sqrt(175)).
-12*sqrt(19)/5
Simplify ((sqrt(2736) - (sqrt(2736) + sqrt(2736) + 0 - sqrt(2736)))*-5 + -3)**2*-6.
-54
Simplify -5 + (sqrt(4)/sqrt(2) + 1 + (sqrt(2) + -1)*4)**2.
-30*sqrt(2) + 54
Simplify (4 + (sqrt(136) + 6*(sqrt(136) - 1*sqrt(136)) - sqrt(136))/(sqrt(8) + ((sqrt(64) - (sqrt(64) - -2*sqrt(64))) + sqrt(64) + sqrt(64))/sqrt(8)))**2.
16
Simplify 5*(sqrt(576)*1)/((sqrt(2) + sqrt(6)/sqrt(3))*-6).
-5*sqrt(2)
Simplify (1 + sqrt(176) + -5*(-2*sqrt(11) + sqrt(11)))**2.
18*sqrt(11) + 892
Simplify (-1*sqrt(2))**2*4 + 0 + sqrt(6)/sqrt(3).
sqrt(2) + 8
Simplify 3*((sqrt(2) - sqrt(450)) + sqrt(2)) + (-5 + (sqrt(200) + -1 - sqrt(200)) + sqrt(200))**2.
-159*sqrt(2) + 236
Simplify (sqrt(204)/(sqrt(12) + sqrt(192)*5 + sqrt(12) - sqrt(12)))**2.
17/441
Simplify 2 + 3*sqrt(3) + (sqrt(384)/sqrt(8))**2.
3*sqrt(3) + 50
Simplify (4 + 1*sqrt(500))*5.
20 + 50*sqrt(5)
Simplify (sqrt(120)*-2)/sqrt(10).
-4*sqrt(3)
Simplify 2*sqrt(112)*-6 - (-2 + (5 + 2*sqrt(7) + sqrt(7))**2).
-78*sqrt(7) - 86
Simplify 2 + sqrt(176) + 4.
6 + 4*sqrt(11)
Simplify (2 + ((sqrt(320) + 1)*1 - sqrt(320)*2*3))**2.
-240*sqrt(5) + 8009
Simplify sqrt(21)/(sqrt(70)/(sqrt(10)*-2) - sqrt(7)).
-2*sqrt(3)/3
Simplify (sqrt(228)/sqrt(432) + 4)**2.
4*sqrt(19)/3 + 595/36
Simplify sqrt(80) + 1 + sqrt(80) + -2.
-1 + 8*sqrt(5)
Simplify (2*(2 + 4 + sqrt(112)))**2.
192*sqrt(7) + 592
Simplify (3 + sqrt(405) + 1)**2.
72*sqrt(5) + 421
Simplify (sqrt(3) - 6*sqrt(3)*-1 - (-3 + (sqrt(3)*-1)**2)) + 3.
3 + 7*sqrt(3)
Simplify ((sqrt(78) - -3*(3*sqrt(78) - sqrt(78))) + sqrt(78))/sqrt(6).
8*sqrt(13)
Simplify sqrt(19) + 1 + sqrt(76) + 1.
2 + 3*sqrt(19)
Simplify ((sqrt(432) + (-3*sqrt(432) + -5 - sqrt(432)) - sqrt(432)) + -2 + 1 + sqrt(432))**2.
432*sqrt(3) + 3924
Simplify sqrt(132)/((1*sqrt(108))/sqrt(9))*-1.
-sqrt(11)
Simplify (sqrt(192) + 1)**2*4 + -5.
64*sqrt(3) + 767
Simplify ((sqrt(288) + sqrt(288) + (sqrt(288) - sqrt(288)*-1))**2 + 1)*2.
9218
Simplify (1*(sqrt(10) + (sqrt(40) - sqrt(10))))/(sqrt(320)*-1).
-sqrt(2)/4
Simplify (sqrt(12) + (-2*(sqrt(300) - sqrt(12)) - sqrt(12)))/sqrt(4).
-8*sqrt(3)
Simplify (-1 + sqrt(1216) - (5 + sqrt(19) + sqrt(19) + 0))**2.
-72*sqrt(19) + 720
Simplify (-5 + -6*(-2 + sqrt(128)) + sqrt(128))**2.
-560*sqrt(2) + 3249
Simplify -2 + (sqrt(833) + 5 + sqrt(833) + sqrt(833))*3.
13 + 63*sqrt(17)
Simplify (sqrt(78)/(sqrt(6) + -2*sqrt(6)*4) + -4)**2.
8*sqrt(13)/7 + 797/49
Simplify (-4*(sqrt(20) + sqrt(720)))/(sqrt(16)/sqrt(4)*-5).
28*sqrt(5)/5
Simplify -5 + ((sqrt(17) - (-1 + sqrt(833))) + 1 + sqrt(272))**2 + 0.
-8*sqrt(17) + 67
Simplify (sqrt(144)/(sqrt(27)/sqrt(3)))/(sqrt(648)*-2)*-6.
sqrt(2)/3
Simplify (sqrt(121) + (sqrt(121) + sqrt(121)*2)*2 + sqrt(121))/sqrt(11).
8*sqrt(11)
Simplify (4 + -2 + sqrt(468) + sqrt(468))**2.
48*sqrt(13) + 1876
Simplify (-1 + sqrt(539) + -5 + -5)**2.
-154*sqrt(11) + 660
Simplify -4*(sqrt(1700) - sqrt(1700)*-2 - (-5 + 1 + sqrt(17) - sqrt(17))).
-120*sqrt(17) - 16
Simplify (-4 + sqrt(208)*-6)**2.
192*sqrt(13) + 7504
Simplify sqrt(363) + -1 + 0 + sqrt(108) + 1.
17*sqrt(3)
Simplify -2*(sqrt(300) + 2)**2.
-608 - 80*sqrt(3)
Simplify -4*((4*(sqrt(18) + sqrt(54)/sqrt(3) - sqrt(18)))/sqrt(9))**2.
-128
Simplify 6*sqrt(18) + -5.
-5 + 18*sqrt(2)
Simplify (sqrt(110)/(sqrt(2)*-2))/(-5*-3*sqrt(11)).
-sqrt(5)/30
Simplify -5*sqrt(38)/sqrt(2) + (sqrt(684) + 2)**2.
19*sqrt(19) + 688
Simplify ((sqrt(65) - ((4*sqrt(65) + sqrt(65))*-5 + sqrt(65)))/sqrt(5))**2.
8125
Simplify (-4 + sqrt(34)/sqrt(2))**2 + sqrt(17) + sqrt(34)/sqrt(2) + -5.
-6*sqrt(17) + 28
Simplify (sqrt(98) + 1*sqrt(98))**2*2 - (-2 + sqrt(98) + -1)**2.
42*sqrt(2) + 677
Simplify ((sqrt(52)/(sqrt(4) + sqrt(4)*2))**2 - sqrt(13)) + (sqrt(13) - sqrt(52)/sqrt(4) - sqrt(13)) + 0 + sqrt(13).
-sqrt(13) + 13/9
Simplify -2*(-4 + -1 + sqrt(19))**2 + ((sqrt(209)*-2 + sqrt(209))*-3)/sqrt(11).
-88 + 23*sqrt(19)
Simplify -1*sqrt(288)*-5.
60*sqrt(2)
Simplify (4*(5 + sqrt(320)) + 0)**2.
1280*sqrt(5) + 5520
Simplify 0 + (sqrt(6)*-1)/sqrt(2).
-sqrt(3)
Simplify (sqrt(1216)*-1 - (sqrt(190)*3)/sqrt(10))**2 + 1.
2300
Simplify sqrt(68)/(sqrt(4) + sqrt(324)*-2 + sqrt(324) + sqrt(4))*-1.
sqrt(17)/7
Simplify sqrt(51)/(sqrt(27) + sqrt(3)) + sqrt(17) + 5 + (sqrt(68)/sqrt(4))**2.
5*sqrt(17)/4 + 22
Simplify ((sqrt(256)*2 - sqrt(4))/sqrt(2))**2.
450
Simplify (2 + -1 + (sqrt(5) - sqrt(30)/sqrt(6)))*4.
4
Simplify -5*(2*sqrt(1216) + 2) + 3.
-80*sqrt(19) - 7
Simplify ((sqrt(7488) + -1 + sqrt(7488) + sqrt(7488))*-4 + sqrt(7488) + 0)**2.
-2112*sqrt(13) + 906064
Simplify (sqrt(17) + 1)*-1 + 5.
-sqrt(17) + 4
Simplify -2*(sqrt(3) - (sqrt(30)/(-1*sqrt(10)) + sqrt(3))).
-2*sqrt(3)
Simplify sqrt(637) - (sqrt(637) | {
"pile_set_name": "DM Mathematics"
} |
5)*v*v)*v)**(-10/11) assuming v is positive.
v**(-89/5)
Simplify (o**(-5/3))**(-13)/(o**(-2))**22 assuming o is positive.
o**(197/3)
Simplify ((r/r**30*r)/(r/r**10))/(r*r/(r*r*r*r/(r/(r*r**(18/5)))*r)*r**(1/6)) assuming r is positive.
r**(-377/30)
Simplify (z/((z/(z*z*z**(1/10)/z))/z))/(((z/(z*z/(((z**14/z)/z)/z)))/z)/z)*z**(-13)/z**(-5) assuming z is positive.
z**(-139/10)
Simplify (i**(-3/5)/(i*i**(-1/3)))/((i*(i/(i/((i*i/i**13)/i)))/i)/(i/(i**(2/41)*i)*i)) assuming i is positive.
i**(7186/615)
Simplify (n*n/(((((n/(n/(n/((n**(2/13)*n)/n))))/n)/n)/n)/n))**8/(((n*n*n**(-14))/n)/n**(2/3)) assuming n is positive.
n**(2141/39)
Simplify ((j**(-6)*j/((j*j/(j**9/j)*j)/j))**(7/6))**(1/3) assuming j is positive.
j**(7/18)
Simplify ((p*(p**0/p)/p)/p)**(-42/11)*p**(2/47)*p**9*p assuming p is positive.
p**(9140/517)
Simplify (t*t**(-4)*t)/(t*t*t**15)*(t*((((t*t**2*t)/t)/t)/t)/t)/t**18 assuming t is positive.
t**(-36)
Simplify (d/(d*d*d*(d*d*d*d*d**(-2/9))/d*d))**6/(d**6*d*d**(-3)/d) assuming d is positive.
d**(-113/3)
Simplify x/x**(-16)*x*x**(-20)*x*x**(-4)*x*x*x**(1/10)/x assuming x is positive.
x**(-39/10)
Simplify ((v**(-8)/v)/v**(-5/6))/(v*v*v/(v/(v*v/(v**4/v)*v))*v)**(-13/6) assuming v is positive.
v**(-5/3)
Simplify ((g**(-1/3)*g**(1/2))/(g*g*(g*g**(1/2))/g*g*g*g**8))**(-42) assuming g is positive.
g**518
Simplify (y**(-11)/(y**(-24)*y))/(y/((y*y**(-4/21)*y)/y))**49 assuming y is positive.
y**(8/3)
Simplify ((x**(-2/5)/x)/(x*x**(2/15)))/(x**(-3/8))**47 assuming x is positive.
x**(1811/120)
Simplify ((d**32)**(6/11))**(-7) assuming d is positive.
d**(-1344/11)
Simplify ((x*(x*x**(-1/4)*x)/x*x)**(-23)/(x*((x/(x*x*x/(x*x/x**(2/11)*x)))/x)/x*x*x*x**(-7)*x))**(-26) assuming x is positive.
x**(33787/22)
Simplify (w*w/(w/(w*w/(w*w*w**(1/4)*w)))*w/(w/w**19))/(w**25/w*w*w**16) assuming w is positive.
w**(-89/4)
Simplify (u*u**(-2/11))/u*u/(u*(u/u**(-2/7)*u)/u*u)*u*(u/u**(-14))**(-7) assuming u is positive.
u**(-8198/77)
Simplify ((a**(-3/7)/a)/a**(-13/6))/(a/a**(-5/7))**(-1/16) assuming a is positive.
a**(71/84)
Simplify ((((n**23*n)/n*n)/n)/n**(-2))/(((n*n**15/n*n)/n)/(n/(n*n*(n**1/n)/n))) assuming n is positive.
n**10
Simplify v/v**(4/5)*v**(-7)/v*v*(v**(1/12)*v)**(-36) assuming v is positive.
v**(-229/5)
Simplify (q*q*q*q/(q*q/q**(6/11)*q)*q*((q*q**(-1/11))/q)/q)**27 assuming q is positive.
q**(432/11)
Simplify v*v*v**(-1/11)*v/(v**30/v)*v*v*(v**7*v*v)**4 assuming v is positive.
v**(131/11)
Simplify ((((p/p**4)/p)/p)**37)**(-24/11) assuming p is positive.
p**(4440/11)
Simplify ((l/((l**(-3/2)/l)/l)*l**6)/(l/(l*(l/((l*(l*(l*l/(l/l**(-2))*l*l)/l)/l)/l))/l)*l**0/l))**(14/9) assuming l is positive.
l**(161/9)
Simplify ((f**(-34))**(2/169))**(-11) assuming f is positive.
f**(748/169)
Simplify ((x/(x/(x/(x/(x/x**(-22)))))*x/(x*x*x*x*x**12*x))**(-3/14))**46 assuming x is positive.
x**(-69)
Simplify ((d*d**(-9)/d)**38)**(-1/12) assuming d is positive.
d**(57/2)
Simplify (c**(-2/13))**(1/8)*(c*c*(c*c*c/(c**(-2)*c))/c)**(2/101) assuming c is positive.
c**(419/5252)
Simplify ((z**2/z**8)/((z*((z*z*z**(-1/2)*z)/z)/z)/(z**(-1/7)*z)))**12 assuming z is positive.
z**(-558/7)
Simplify (((t*(t**6*t)/t*t)/t)/(t**(-1/6)*t*t*t*t))**49 assuming t is positive.
t**(931/6)
Simplify (((((k/((k**13*k)/k))/k*k)/k)/k**(-3))**(2/23))**(1/29) assuming k is positive.
k**(-20/667)
Simplify w**(-8)/w**(1/2)*w**(-9)/w*w*w**(-7) assuming w is positive.
w**(-49/2)
Simplify (m*(m/(m**(2/5)*m)*m)/m)**8/(m**(1/9)*m)**47 assuming m is positive.
m**(-2134/45)
Simplify (m**11*m**(-5)*((m*m**(1/4))/m)**10)**(-2/19) assuming m is positive.
m**(-17/19)
Simplify k**(-1/4)*k*k*k*k/(k/(k*k**6))*k*k*k/k**7*(k*k**(-12))/k assuming k is positive.
k**(-25/4)
Simplify ((v**2)**(-30)*(v**(-1/2))**(-2/69))**7 assuming v is positive.
v**(-28973/69)
Simplify ((((w*w**(-2))/w)/w)/((w*(w**(-7/6)/w)/w*w)/w))/(w/(w*w**(-2/15)*w))**(-2/33) assuming w is positive.
w**(-877/990)
Simplify j/(j/(j/((j/(j*j**(-2/5)))/j)))*j*j/j**10*((j**(-3)*j)/j)/j*j/j**10 assuming j is positive.
j**(-97/5)
Simplify ((m/(m**(-1/5)*m))/m*m)**17/((m*m*m**(1/9)/m)/m**(-2/15)) assuming m is positive.
m**(97/45)
Simplify ((a/(a*a**22/a))/a**(3/2))/(a**(-15)/a**(11/3)) assuming a is positive.
a**(-23/6)
Simplify (i**(3/10)*i*i**(-22))/(i**(4/3)*i)**(15/7) assuming i is positive.
i**(-257/10)
Simplify ((m*m/m**(-4)*m)/m)**(2/9)*m**10/m**(-5/6) assuming m is positive.
m**(73/6)
Simplify (s*s/(s/((s/(s/(s/((s*s/(s*(s/s**(1/2)*s)/s)*s)/s))))/s)))**48*(s**(1/12)/s)/(s*(s*s*s*s/((s/(s*s**(-5/4)))/s*s))/s) assuming s is positive.
s**(61/3)
Simplify (r/(r/r**10))**(7/10)*(r*r/r**(1/2))**(29/3) assuming r is positive.
r**(43/2)
Simplify (w**(-12))**(-25/3)*w**(-7)/w**17 assuming w is positive.
w**76
Simplify (h*h*h**(-21)/h*h*h**(-20))/(h**4)**(-11) assuming h is positive.
h**5
Simplify (h/h**(-2)*(h**1/h)/h)/((h**14/h)/h**(-3/4)) assuming h is positive.
h**(-47/4)
Simplify (l**(1/7))**(-2/49)*l*((l**(-1/2)/l)/l)/l*l**(-6/13) assuming l is positive.
l**(-26463/8918)
Simplify (i**(-1)*i**(-5/6))/(i**(3/7)/i**8) assuming i is positive.
i**(241/42)
Simplify (((t/(t/t**(-9/5)))/t*t)/t**(2/13)*(t*(t/((t**(-11)/t*t)/t))/t)/((t**(2/9)*t)/t))**(2/31) assuming t is positive.
t**(12664/18135)
Simplify (((a**9)**(-16/7))**(-42))**(6/11) assuming a is positive.
a**(5184/11)
Simplify (w*w**4*w*w)/w**12*(w/(w**(-3/8)*w))/(w**18/w*w*w) assuming w is positive.
w**(-189/8)
Simplify (w**(2/3))**(-1/83)/(w**(5/4)*w**4) assuming w is positive.
w**(-5237/996)
Simplify (b/b**5)**(-47)/((b*b*b**(-3/10))/(b*b*b*b**(-6/7)/b*b)) assuming b is positive.
b**(13191/70)
Simplify (v**(2/15))**(-28/3)*(v**(-4/7)*v)**(34/7) assuming v is positive.
v**(1846/2205)
Simplify (((v/(v*v**(4/17)))**(-36))**(-2/13))**(-3/26) assuming v is positive.
v**(432/2873)
Simplify (q**7*q**(-4/5)/q)/(q**(-17)*q*q*q*(q**10*q)/q) assuming q is positive.
q**(46/5)
Simplify (u*u*u*u**25*u*((u**36/u)/u)/u)/((u*u**31)/u**13) assuming u is positive.
u**43
Simplify (f**(18/7)/f**(-35))**(12/19) assuming f is positive.
f**(3156/133)
Simplify ((i**2)**(1/3)/(i*(i/(i**(-2/3)/i)*i)/i)**(24/7))**(-17/2) assuming i is positive.
i**(2125/21)
Simplify (b/(b*b*b**6*b)*(b*b**(-4)/b*b)/b*(b/b**(-5)*b)/b*b/((b/(b**(-1/7)*b))/b))**(-13/5) assuming b is positive.
b**(377/35)
Simplify (((h*h**(-11))/h**(-3))**(-1/12))**(-1/47) assuming h is positive.
h**(-7/564)
Simplify (p**(-2/3))**27/(p**0/p**(-4/5)) assuming p is positive.
p**(-94/5)
Simplify (a/a**(-1)*a)**35*a*a**(1/8)*a/(a/a**(-10/3)) assuming a is positive.
a**(2467/24)
Simplify l**(-1/10)*l**(-1/34)*(l*l*l/(l/(l**(-8)*l))*l)/l**(5/7) assuming l is positive.
l**(-2882/595)
Simplify (h**(-5)*h)/((h/(h*h**(4/13)*h))/h)*(h/(h*h**(-1/21)))/(h**(1/3)/h) assuming h is positive.
h**(-89/91)
Simplify ((g*g**(-2/3))**28)**(-20) assuming g is positive.
g**(-560/3)
Simplify (j**(-8/3)*j*j*j**(-1/19)*j)/((j*j**(7/4))/(j/((j*j/j**(-4)*j)/j))) assuming j is positive.
j**(-1703/228)
Simplify (((u/u**(-18/11))/u)/u*u**(13/5))**(-2/71) assuming u is positive.
u**(-356/3905)
Simplify (b**(-1/10)/b)**(-13)*((b/b**(1/7))/b)/b*(b**(3/8)*b)/b assuming b is positive.
b**(3789/280)
Simplify ((x**6)**(3/23))**(-49) assuming x is positive.
x**(-882/23)
Simplify (((j**(-8)/j)/(j/(j/j**(-7)*j)*j))/(j*j/((j*j**(-2/5))/j))**(-23/6))**(-2/29) assuming j is positive.
j**(-72/145)
Simplify (u**3)**25/(u**0/u)**33 assuming u is positive.
u**108
Simplify p**(-23)*p*p/p**0*(p**(-4/19)*p)/(p**(7/3)/p) assuming p is positive.
p**(-1228/57)
Simplify ((q**(-21)*q)/q)**(-11)/(q*q**(-6)*q*q*(q*q**(-18))/q) assuming q is positive.
q**252
Simplify ((v**(13/3)*v)/v*v)/v**(-11)*(((v**(-13)*v)/v*v)/v)/(v*v**(-17)) assuming v is positive.
v**(58/3)
Simplify (c**7)**(-30)/(c**12*(c/(c/((c/((c**14*c)/c*c))/c)*c)*c)/c) assuming c is positive.
c**(-206)
Simplify (s*s*s*s*s**4*s)**(-2/89)/((s/(s*s/s**(-10)))/(s*s**(-5)*s)) assuming s is positive.
s**(694/89)
Simplify ((b**(-2/3))**34/(b**3/b**8))**39 assuming b is positive.
b**(-689)
Simplify (o/(o*o*o/o**(1/5)*o)*(o*(o/(o**(-11/3)/o))/o)/o)/((((o/(o**(-1/10)*o*o*o))/o)/o)/o**(11/2)) assuming o is positive.
o**(169/15)
Simplify ((v**(5/6)*v)/v**(-1/2))/(v**(-1/5))**(25/4) assuming v is positive.
v**(43/12)
Simplify ((z*(z/(z**(1/2)*z*z))/z*z)**(8/5)/((z/((z**( | {
"pile_set_name": "DM Mathematics"
} |
- 7. Let f = -0.11 + 51.11. What is the second smallest value in f, a, p?
p
Let u = 130 - 113. Let i = u - 17.068. Let m = i - -0.128. Which is the third smallest value? (a) 1/7 (b) m (c) -0.2 (d) 0
b
Let r = -2026.2 - -2026.7. What is the fourth biggest value in -0.001, -0.9, 3/7, r?
-0.9
Let v = -242 + 220.4. Let q = v - -22. Let g = -2.24 + -0.76. What is the smallest value in 3, q, g?
g
Suppose 2*p = -5*d - 13, -35*d + p = -24*d + 61. What is the second smallest value in d, -742/3, 0, 1/12?
d
Let u = 0.2605 + -0.7605. What is the smallest value in 4/13, 24, -4, u?
-4
Let o = -0.03 - -4.03. Let p(t) = 4*t + 5. Let a(f) = -f + 1. Let s(l) = 2*a(l) + p(l). Let w be s(-4). What is the biggest value in w, 0, o?
o
Let t = 1.2 + -1. Let z = 2523/2 - 5473/4. Let p = 107 + z. Which is the second biggest value? (a) t (b) -0.4 (c) p
a
Let i = 37791/5 + -7559. What is the second smallest value in i, -39, -0.1?
i
Suppose -3*y - 3 = -24. Let a be (-9 - y)*(-6)/4. Let c be 2/24*16/a*-8. What is the smallest value in c, 2, -1/4?
c
Let c = -12719/1016 + -77/127. What is the second biggest value in c, -0.4, 4, 5?
4
Let o = -0.14 - 0.06. Let p = 29 + -29. Let s be -15*(-4 - 26/(-6)). Which is the biggest value? (a) s (b) o (c) p (d) -1
c
Suppose -r - 30 = -11*r. Suppose -3*w - r*t - 9 = 0, t + 5 + 6 = -3*w. Let f = -28/9 - -299/99. Which is the biggest value? (a) 0 (b) w (c) f
a
Let y = 165.199 + -165. Let q = y - -98.801. Let t = q - 95. Which is the third biggest value? (a) 3 (b) t (c) -2/5 (d) -0.3
d
Let g = -72.5 + 374.5. Let f = g - 299. What is the biggest value in -19, -2, f?
f
Let r = 606 + -623. What is the third biggest value in r, 2/23, -4?
r
Suppose -g - t + 5 = 0, -6*g + 3*g = -t - 11. Let w be ((-10)/10 - 0)*g/(-14). What is the biggest value in w, 2, 0.6, -0.3?
2
Suppose 68*t - 19*t = -1715. Which is the fourth biggest value? (a) 1 (b) 0.4 (c) -2/13 (d) t
d
Let n = -2.5221 + -0.4779. What is the fourth smallest value in -1/5, n, -9, 5?
5
Let i = 14379.3654 - 14378. Let m = 0.0346 + i. What is the second smallest value in 0.2, m, 5, 0.1?
0.2
Let t = 0.3 + -0.5. Let y = -24485 + 24503. Which is the second smallest value? (a) 0.2 (b) t (c) -1/3 (d) y
b
Let z = 4175.4 - 4175. What is the second biggest value in z, 3, -0.126, 0?
z
Let y = 67 - 66. Suppose h + 5*g = 23, 3 + y = 3*h + 2*g. Let f = h - 3. Which is the third smallest value? (a) 1 (b) 1/7 (c) -2/3 (d) f
b
Let y = 0.1163 + 0.0837. Which is the third smallest value? (a) y (b) 0.46 (c) 2 (d) -4 (e) -2
a
Let y be -11*(-9)/990*-2. What is the smallest value in 4/9, 1/6, y?
y
Let t = -298.8 + 236.8. Which is the smallest value? (a) -1 (b) t (c) -1/5
b
Let o = -0.15 + -0.1. Let y = -187890 + 187893. Which is the third biggest value? (a) o (b) 4/5 (c) y (d) 0.3
d
Let z = 1.45 - 4.45. Let w be (-1 + 1)/((-12)/6) + -2. What is the second smallest value in w, z, -1.7?
w
Let k = 1.348 + -1.61. Let r = -1.738 + k. What is the second biggest value in -0.04, r, 2?
-0.04
Let x = -70.2 - -283.7. Let v = x + -214. Which is the third biggest value? (a) -0.2 (b) -23 (c) v
b
Suppose f - u = 2*f + 4, 0 = 5*f - 4*u + 2. Let v(b) = 20*b - 66. Let c be v(4). Let x be 75/50 + (-25)/c. What is the second biggest value in x, -5, f?
f
Let h = -0.111 + 1.271. Let n = -66 + 66.66. Let t = n - h. Which is the biggest value? (a) -2/3 (b) -1/3 (c) t (d) -5
b
Suppose 234*l + 549 = 51*l. Which is the fourth smallest value? (a) -5 (b) 2/9 (c) 0.2 (d) -4 (e) l
c
Let o = 5059 + -5056. Which is the biggest value? (a) -0.4 (b) o (c) -0.28 (d) 1 (e) -2/9
b
Let y = -2024.07 + 2024. What is the smallest value in -15, y, 3/4?
-15
Let n be (-648)/243*(-2)/8. Let s = 7 - 7.03. Which is the biggest value? (a) -0.1 (b) s (c) -9 (d) n
d
Let j be ((-1810)/(-13575))/(2/6 - (-4)/(-30)). What is the smallest value in -4, j, 12.02?
-4
Let d(w) = -w**2 + 3*w - 4. Let k be d(3). Let x = -13650 - -13654. Let h = -158/9 + 52/3. What is the fourth biggest value in k, -0.4, h, x?
k
Let b = -104.1 - -106.1. What is the fourth smallest value in -0.1, b, 2/3, 2/23, -0.6?
2/3
Let g = -6 - 0. Let f be (-14)/12 + g/(-9). Suppose 4*j - 3*w = 33, 57*w - 54*w = -6*j - 3. Which is the third biggest value? (a) 2 (b) j (c) f
c
Suppose 2*z = 6, 0 = 12*m - 4*m - 3*z + 49. What is the third smallest value in -0.4, -1/2, -24, m, 1?
-1/2
Suppose 21*r - 44*r = -69. Let k be (286/(-65) - r/5)*-1. Which is the smallest value? (a) 1/3 (b) k (c) 0.03
c
Let i = -1.934 - -2.334. Which is the second biggest value? (a) i (b) 61 (c) 4
c
Let l = -3/32 - -47/160. Let r = 8493 + -382204/45. Let p = l + r. Which is the biggest value? (a) 4 (b) -1/4 (c) p (d) 0.5
a
Let i be 6/(-4)*4/(-33). Let x = -1400.5 - -1401. Which is the third biggest value? (a) i (b) x (c) 2/13 (d) 2/5
a
Suppose -5*s = -4*c + 2*c - 22, -5*c - 9 = -s. Let q = 4 - 7. Let z = 2110685.01 + -2110685. What is the second biggest value in z, q, c?
c
Let g be 13886/4558 - (-4)/(-86). Let y = 0.2 - 0.4. Let p = y + 1.2. What is the smallest value in 0.4, g, p?
0.4
Suppose c - 3*c = -40. Suppose -5*r + c = -15*r. Let o = -0.04 + -0.16. What is the second smallest value in -0.5, r, o?
-0.5
Let f = 11719 - 11702.7. What is the biggest value in f, -5, 2/7, 0.2?
f
Let r = -501 + 501.3. What is the second smallest value in r, 0.8, 1.07?
0.8
Let y = 34 + -21. Suppose 22 = -3*x + y. Let r be 308/33*x/(-2). What is the third biggest value in 1/5, 5/3, r?
1/5
Let z = 5 - 8. Let u be (256/(-25))/(4/10). Let y = -26 - u. What is the third biggest value in y, 1, -2/15, z?
y
Let q = 131 - 242. Let r = -111 - q. What is the third smallest value in 5, r, -1?
5
Let o = -354 - -1413/4. What is the fourth smallest value in o, -46, -0.5, 0.1?
0.1
Suppose s = -s - 8. Let w = -8436 + 8434.7. Which is the biggest value? (a) 0.2 (b) w (c) 4 (d) s
c
Suppose 0 = -3*p - 165*v + 160*v + 1, 0 = -p - 4*v - 2. Which is the second smallest value? (a) 4/9 (b) -5 (c) p (d) -1/15 (e) -5.1
b
Suppose 3*f - 43512 = -11139. Let z = 54139/5 - f. Let c = z + -36. What is the smallest value in -12, c, 2/7, 3?
-12
Let g = 2 - 3. Suppose 8*d = -7*d - 4*d. Suppose -3*s + 5*r = 27, s - 4*r + 15 + 1 = d. What is the smallest value in s, 0.6, g, 4?
s
Let h = -2.4 + 5.1. Let n = -1.3 - h. Let w = -133 - -132.5. Which is the second smallest value? (a) w (b) n (c) 2/17
a
Let r be (248/8 - 11)*4*(-3)/(-48). Which is the smallest value? (a) -2 (b) r (c) 1167.6
a
Suppose -3*d + 23 - 5 = 3*q, 3*q = 5*d - 14. Let r be (-4)/(240/7) - q/15. Let i = -2 + 4. Which is the second smallest value? (a) i (b) -0.01 (c) r
b
Let s = 40685.7 - 40686. Which is the fourth smallest value? (a) 7 (b) -2 (c) -0.06 (d) -26 (e) s
c
Let s be (39/12012*8)/(2/(-14)). Which is the second smallest value? (a) -1/27 (b) 0.4 (c) s
a
Let v = 0.82 - 0.32. Let r = 0.02 - 1.22. Let s = -0.8 - r. What is the biggest value in 4, s, v, 2/3?
4
Let h = -1519.5 - -1597.5. Which is the smallest value? (a) 0.4 (b) -0.6 (c) h
b
Let b = -1.52 - 5.48. Suppose 5*i - 2 = 2*g, 0 = -i - 0*g - 5*g - 5. What is the smallest value in b, i, 7?
b
Let k = 1268.1 + -1268. Which is the smallest value? (a) k (b) -2 (c) 3 (d) 12
b
Suppose -31 = -3*l - 0*l - 5*p, -2*p = -10. Let s be (178/56 + -28 + 26)*8. Let v = s + -507/56. Which is the third smallest value? (a) v (b) 1 (c) l
c
Let s = -1926 - -1926. What is the fourth smallest value in -2, 5, -0.07, s, -7?
s
Let s = -721 + 717. Let n = -41 + 1. Let f be n/210*3/2. What is the third biggest value in s, f, 2/7, 0.5?
f
Let n = 0.39368 - 0.79368. What is the third biggest value in -0.3, 18, -3, n, 0.3?
-0.3
Let n = -7 - -6.76. Let r be (-2*(-6)/(-21))/(4/(-14)). Let d = 2.68 + -5.68. What is the second biggest value in d, n, r?
n
Let y(r) = r**3 - 14*r**2 + 4*r - 51. Let m be y(14). Which is the biggest value? (a) -4 (b) -3/47 (c) m
c
Suppose -5*o = -2*l - 851, -4*o - 2105 = 5*l - 9*o. Let g = l + 1675/4. What is the second smallest value in -0.5, -2, g, -1/3?
-0.5
Let i = -0.12 - -0.09. Let n = i + 2.03. Let s = -0.3 - -0.28. What is the smallest value in n, s, -5?
-5
Let h = 227819/3278 - -1/1639. Let m = h + -2923/42. Let g be (-9)/(-66)*(-20)/15. Wha | {
"pile_set_name": "DM Mathematics"
} |
cement from {i: 3, x: 3}.
1/5
What is prob of picking 1 f and 1 g when two letters picked without replacement from gufffgk?
2/7
Three letters picked without replacement from {e: 3, n: 1}. Give prob of picking 3 e.
1/4
Calculate prob of picking 1 s, 1 q, and 2 i when four letters picked without replacement from {s: 2, i: 1, q: 4}.
0
Calculate prob of picking 1 e and 2 o when three letters picked without replacement from {f: 3, z: 1, d: 3, x: 1, e: 2, o: 3}.
3/143
Three letters picked without replacement from {n: 1, g: 12}. Give prob of picking 1 n and 2 g.
3/13
Two letters picked without replacement from {e: 1, h: 1, f: 1}. What is prob of picking 1 e and 1 f?
1/3
Calculate prob of picking 2 o when two letters picked without replacement from oppoppopoppppppo.
1/12
Three letters picked without replacement from {x: 4, e: 4, o: 3}. What is prob of picking 1 x and 2 e?
8/55
Four letters picked without replacement from xdzzbmxdxhdzhbmhdz. Give prob of picking 2 d and 2 z.
1/85
What is prob of picking 2 p when two letters picked without replacement from {n: 2, i: 1, p: 2, y: 1}?
1/15
Calculate prob of picking 1 o and 1 b when two letters picked without replacement from zzxixoxzxvxxxbxxxx.
1/153
Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {q: 9, p: 4, w: 3}.
1/10
Two letters picked without replacement from jjqqjrrrtwjjwj. What is prob of picking 2 r?
3/91
What is prob of picking 1 p and 1 j when two letters picked without replacement from jjpppppjpppppppjjppp?
15/38
Three letters picked without replacement from kkwiouixxik. What is prob of picking 1 w, 1 k, and 1 u?
1/55
What is prob of picking 2 w when two letters picked without replacement from pidijjppwjwpww?
6/91
Four letters picked without replacement from gaxajhrxxgxhjjag. Give prob of picking 1 g, 1 r, 1 h, and 1 a.
9/910
Two letters picked without replacement from sqgsqgssq. What is prob of picking 2 q?
1/12
Four letters picked without replacement from iyyyi. What is prob of picking 3 y and 1 i?
2/5
Two letters picked without replacement from uueaaaeauaaeuueesau. Give prob of picking 1 a and 1 e.
35/171
Calculate prob of picking 1 p, 1 s, and 2 z when four letters picked without replacement from snyszpppzppppsggppz.
27/1292
Four letters picked without replacement from eeppepeppe. What is prob of picking 4 e?
1/42
Calculate prob of picking 1 t and 3 u when four letters picked without replacement from ututuuuuuuuu.
16/33
Two letters picked without replacement from {n: 6, d: 3, p: 4, l: 1, b: 1}. Give prob of picking 1 d and 1 l.
1/35
Three letters picked without replacement from {j: 2, v: 9, e: 2}. What is prob of picking 1 e and 2 j?
1/143
What is prob of picking 3 w when three letters picked without replacement from {h: 2, w: 4}?
1/5
Two letters picked without replacement from {d: 6, x: 3, w: 2, m: 2, u: 2, i: 2}. What is prob of picking 1 u and 1 m?
1/34
Two letters picked without replacement from mtrmzzrjrjzzt. Give prob of picking 2 t.
1/78
What is prob of picking 1 l and 1 t when two letters picked without replacement from {l: 1, t: 12}?
2/13
Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, y: 1}.
1/3
Three letters picked without replacement from jmmpvmjttjvmivvtttvt. What is prob of picking 2 v and 1 t?
1/19
What is prob of picking 3 g when three letters picked without replacement from {i: 2, g: 8}?
7/15
What is prob of picking 2 g and 1 q when three letters picked without replacement from qgq?
0
Two letters picked without replacement from ivavaiviahivv. Give prob of picking 2 v.
5/39
What is prob of picking 1 g and 2 d when three letters picked without replacement from gddggddd?
15/28
Four letters picked without replacement from cyycyc. Give prob of picking 1 c and 3 y.
1/5
Two letters picked without replacement from {z: 4, i: 1, n: 9, f: 1, w: 1, g: 1}. Give prob of picking 1 f and 1 w.
1/136
Three letters picked without replacement from kxkks. What is prob of picking 2 k and 1 s?
3/10
What is prob of picking 3 a when three letters picked without replacement from ncaaxazznafaxaa?
1/13
Three letters picked without replacement from {q: 1, i: 3, e: 7, x: 2, g: 1, y: 3}. Give prob of picking 2 x and 1 i.
3/680
Calculate prob of picking 2 r when two letters picked without replacement from {r: 4, i: 15}.
2/57
Two letters picked without replacement from qsqqeeqqe. Give prob of picking 1 e and 1 s.
1/12
What is prob of picking 1 m and 3 a when four letters picked without replacement from mcacmmtamattcmmttt?
1/510
Two letters picked without replacement from {c: 1, b: 2, x: 4}. What is prob of picking 1 b and 1 x?
8/21
Three letters picked without replacement from {x: 3, z: 11}. Give prob of picking 3 x.
1/364
Four letters picked without replacement from sdmsssssdum. Give prob of picking 2 s and 2 m.
1/22
What is prob of picking 2 s when two letters picked without replacement from srtrrwsrxwrrw?
1/78
Three letters picked without replacement from tqccyttcqtttyyt. Give prob of picking 1 c, 1 t, and 1 y.
9/65
What is prob of picking 1 q, 1 v, and 2 y when four letters picked without replacement from vlylylqqlqyeqlllehlq?
1/323
Calculate prob of picking 1 p and 1 l when two letters picked without replacement from {p: 4, l: 3}.
4/7
Calculate prob of picking 1 s and 2 p when three letters picked without replacement from {s: 2, j: 3, o: 4, p: 2}.
2/165
Two letters picked without replacement from qkqqkqqqqqqqqqqkqkqk. Give prob of picking 2 k.
1/19
Calculate prob of picking 3 e when three letters picked without replacement from memmmdedmimmdmmdmme.
1/969
Four letters picked without replacement from {p: 2, i: 1, v: 4, g: 1, l: 3}. What is prob of picking 1 p and 3 v?
4/165
Four letters picked without replacement from {j: 1, m: 7, i: 6}. What is prob of picking 4 m?
5/143
Calculate prob of picking 1 a, 1 n, and 2 g when four letters picked without replacement from {r: 1, v: 1, n: 4, o: 2, a: 1, g: 6}.
4/91
Three letters picked without replacement from {m: 2, w: 1, i: 2, p: 9}. What is prob of picking 1 i and 2 p?
18/91
What is prob of picking 3 j when three letters picked without replacement from {m: 1, j: 5, u: 3}?
5/42
Calculate prob of picking 2 z and 2 a when four letters picked without replacement from {a: 10, z: 2}.
1/11
Calculate prob of picking 1 c and 1 e when two letters picked without replacement from cecceeaee.
5/12
Two letters picked without replacement from ggv. What is prob of picking 1 v and 1 g?
2/3
What is prob of picking 3 n and 1 y when four letters picked without replacement from {y: 5, n: 2}?
0
Calculate prob of picking 2 v when two letters picked without replacement from ffffevfffhffvhvqhh.
1/51
What is prob of picking 2 y when two letters picked without replacement from yyyy?
1
Four letters picked without replacement from uzzfzzlfzzflu. Give prob of picking 1 u, 1 z, and 2 f.
36/715
Calculate prob of picking 1 b, 2 e, and 1 l when four letters picked without replacement from {h: 1, b: 3, o: 5, e: 2, l: 1}.
1/165
Calculate prob of picking 1 f and 2 o when three letters picked without replacement from oofd.
1/4
Two letters picked without replacement from {k: 1, c: 2, n: 2, s: 1, m: 2, w: 4}. What is prob of picking 1 s and 1 m?
1/33
What is prob of picking 2 i when two letters picked without replacement from iii?
1
Calculate prob of picking 1 e, 1 v, and 1 m when three letters picked without replacement from zzpvpepmp.
1/84
What is prob of picking 2 s, 1 d, and 1 h when four letters picked without replacement from {i: 2, x: 4, s: 2, d: 1, h: 1}?
1/210
Three letters picked without replacement from laljljlkjlm. Give prob of picking 1 m, 1 j, and 1 a.
1/55
Two letters picked without replacement from {o: 2, j: 8, y: 3, s: 3}. Give prob of picking 1 y and 1 s.
3/40
What is prob of picking 3 q when three letters picked without replacement from {e: 2, q: 3}?
1/10
Calculate prob of picking 2 z when two letters picked without replacement from {i: 2, z: 1, g: 1, l: 1, m: 1, d: 1}.
0
Two letters picked without replacement from {t: 3, e: 2, u: 2, n: 2}. Give prob of picking 1 u and 1 n.
1/9
Calculate prob of picking 3 x and 1 r when four letters picked without replacement from {u: 6, k: 6, n: 1, g: 1, r: 1, x: 3} | {
"pile_set_name": "DM Mathematics"
} |
5*k**4 - 485*k**3 - 810*k**2 - 360*k = 0.
-12, -1, -6/7, 0
Let 3*y**2 + 12*y - 135 = 0. What is y?
-9, 5
Factor -4*l**4 - 24*l**3 + 12*l**2 + 64*l - 48.
-4*(l - 1)**2*(l + 2)*(l + 6)
Let -6*o**3 + 2129*o**2 + 3561*o + 1426 = 0. What is o?
-1, -2/3, 713/2
Solve 13*s**2/2 + 401*s/2 - 31 = 0 for s.
-31, 2/13
Find p such that 4*p**2 - 40*p - 684 = 0.
-9, 19
Factor v**3 - 12*v**2 - 73*v + 420.
(v - 15)*(v - 4)*(v + 7)
Factor -2*x**2/11 - 40*x/11 + 42/11.
-2*(x - 1)*(x + 21)/11
Factor -8*i**2 - 11078*i + 2770.
-2*(i + 1385)*(4*i - 1)
Suppose -2*v**5 + 12*v**4 - 22*v**3 + 12*v**2 = 0. What is v?
0, 1, 2, 3
What is a in -5*a**4 + 720*a**3 - 38880*a**2 + 933120*a - 8398080 = 0?
36
Factor 4*c**4 - 40*c**3 - 348*c**2 - 576*c.
4*c*(c - 16)*(c + 3)**2
Suppose 21*z**3 - 849*z**2 + 8760*z - 3600 = 0. Calculate z.
3/7, 20
Solve j**5/7 + 16*j**4/7 - 54*j**3/7 + 8*j**2 - 19*j/7 = 0 for j.
-19, 0, 1
Find t, given that 2*t**2/11 + 3456*t/11 + 1492992/11 = 0.
-864
Factor -z**2/5 + 4033*z/5.
-z*(z - 4033)/5
Factor 10*m**2 + 105*m + 50.
5*(m + 10)*(2*m + 1)
Determine x, given that x**2 + 83*x - 1248 = 0.
-96, 13
Solve 5*c**2 + 370*c - 375 = 0 for c.
-75, 1
Let 8*n**5/7 - 104*n**4/7 + 234*n**3/7 + 76*n**2/7 - 22*n - 60/7 = 0. Calculate n.
-1/2, 1, 3, 10
Factor 8*k**2 - 332*k + 164.
4*(k - 41)*(2*k - 1)
What is d in 3*d**4/7 + 45*d**3/7 + 18*d**2 - 276*d/7 - 360/7 = 0?
-10, -6, -1, 2
Find f such that 5*f**4/2 + 75*f**3/2 + 110*f**2 = 0.
-11, -4, 0
Let p**5/5 + 12*p**4/5 - 64*p**3/5 + 16*p**2/5 + 48*p - 256/5 = 0. Calculate p.
-16, -2, 2
Factor l**4/10 - l**3/2 + 9*l**2/10 - 7*l/10 + 1/5.
(l - 2)*(l - 1)**3/10
Factor -a**2 + a + 56.
-(a - 8)*(a + 7)
Factor -4*b**3/9 - 2*b**2/9 + 50*b/9 - 8/3.
-2*(b - 3)*(b + 4)*(2*b - 1)/9
Solve -4*p**4 - 14*p**3/3 + 68*p**2/9 + 14*p/9 - 4/9 = 0.
-2, -1/3, 1/6, 1
Factor 2*u**3/7 - 220*u**2/7 + 856*u/7 - 848/7.
2*(u - 106)*(u - 2)**2/7
Suppose 2*f**2/7 + 94*f/7 = 0. What is f?
-47, 0
Find s, given that -s**2/2 + 1839*s - 3381921/2 = 0.
1839
Find w such that -3*w**5 - 120*w**4 + 519*w**3 - 396*w**2 = 0.
-44, 0, 1, 3
Factor -492032*o**2 + 5952*o - 18.
-2*(496*o - 3)**2
Factor i**3 - 3*i**2 - 46*i + 48.
(i - 8)*(i - 1)*(i + 6)
Factor -6*p**3 + 897*p**2 - 444*p - 447.
-3*(p - 149)*(p - 1)*(2*p + 1)
Determine j, given that j**3/4 - 7*j**2/2 - j + 14 = 0.
-2, 2, 14
Factor -6*b**3 + 2642*b**2 + 1766*b - 882.
-2*(b - 441)*(b + 1)*(3*b - 1)
Factor 2*s**4/7 + 2*s**3/7 - 12*s**2/7.
2*s**2*(s - 2)*(s + 3)/7
Find o such that o**3/5 + 53*o**2/5 - 56*o/5 - 108/5 = 0.
-54, -1, 2
Factor 2*k**3/15 + 92*k**2/15 - 38*k/3 + 32/5.
2*(k - 1)**2*(k + 48)/15
Let 2*y**3 - 26*y**2 + 78*y - 54 = 0. Calculate y.
1, 3, 9
Factor 2*g**5/5 + 14*g**4/5 + 36*g**3/5 + 8*g**2 + 16*g/5.
2*g*(g + 1)*(g + 2)**3/5
Find o, given that -12*o**5 - 177*o**4/5 + 249*o**3/5 - 12*o**2/5 = 0.
-4, 0, 1/20, 1
Solve 4*g**3 + 492*g**2 + 2844*g + 4212 = 0.
-117, -3
Let 2*v**3 + 168*v**2 + 3528*v = 0. Calculate v.
-42, 0
Suppose 2*q**4 + 16*q**3 + 44*q**2 + 48*q + 18 = 0. Calculate q.
-3, -1
Find i such that 3*i**2/7 - 30264*i/7 + 76325808/7 = 0.
5044
Factor -4*y**4 + 88*y**3 - 608*y**2 + 1664*y - 1536.
-4*(y - 12)*(y - 4)**2*(y - 2)
Determine m so that -3*m**5 + 18*m**4 - 24*m**3 - 18*m**2 + 27*m = 0.
-1, 0, 1, 3
What is h in -h**4/8 - h**3/8 + 3*h**2/2 - h/2 - 2 = 0?
-4, -1, 2
Factor -x**3/4 + 105*x**2/4 + 53*x/2.
-x*(x - 106)*(x + 1)/4
Factor u**2/9 - 1930*u/3 + 931225.
(u - 2895)**2/9
Find h such that 14*h**3/5 + 10*h**2 + 32*h/5 - 24/5 = 0.
-2, 3/7
Factor 4*x**2 - 104*x + 100.
4*(x - 25)*(x - 1)
Let -8*c**4 + 1436*c**3 - 64076*c**2 - 33120*c + 32400 = 0. What is c?
-1, 1/2, 90
Determine n, given that -3*n**2/7 - 54594*n/7 - 248375403/7 = 0.
-9099
Factor 3*m**2 + 75*m + 450.
3*(m + 10)*(m + 15)
Determine w, given that -3*w**3 - 51*w**2 - 240*w - 192 = 0.
-8, -1
Solve i**5/6 - 31*i**4/6 - 73*i**3/6 + 211*i**2/6 + 108*i + 66 = 0.
-2, -1, 3, 33
What is b in -14*b**2/3 + 29*b/3 - 2/3 = 0?
1/14, 2
Find i, given that -35*i**3 + 1130*i**2 - 2420*i + 600 = 0.
2/7, 2, 30
Let -3*c**5/7 - 6*c**4/7 + 6*c**2/7 + 3*c/7 = 0. What is c?
-1, 0, 1
Solve 3*v**2/8 - 21*v/8 = 0 for v.
0, 7
Suppose -2*q**4/5 + 12*q**3 - 194*q**2/5 - 384*q/5 + 104 = 0. What is q?
-2, 1, 5, 26
Determine u, given that -3*u**2 - 36*u - 105 = 0.
-7, -5
Find j such that 4*j**2/5 - 28*j - 160 = 0.
-5, 40
Solve 3*q**5 - 54*q**4 + 249*q**3 - 102*q**2 - 1152*q + 1056 = 0.
-2, 1, 4, 11
Determine a, given that -8*a**5/7 + 106*a**4/7 + 430*a**3/7 - 626*a**2/7 - 422*a/7 + 520/7 = 0.
-4, -1, 1, 65/4
Let -3*u**3/2 - 12*u**2 - 33*u/2 + 30 = 0. What is u?
-5, -4, 1
Factor -2*o**4/7 + 24*o**2/7 + 32*o/7.
-2*o*(o - 4)*(o + 2)**2/7
Determine d so that 2*d**3/11 - 34*d**2/11 - 130*d/11 + 3042/11 = 0.
-9, 13
Solve -42*c**3/5 - 10012*c**2/5 - 760*c + 1904/5 = 0.
-238, -2/3, 2/7
Determine f so that -5*f**4/4 - 7*f**3/2 + 35*f**2/4 + 11*f = 0.
-4, -1, 0, 11/5
Suppose 12*z**5 - 80*z**4 + 140*z**3 - 40*z**2 - 32*z = 0. Calculate z.
-1/3, 0, 1, 2, 4
Factor 2*j**4 + 48*j**3 + 178*j**2 - 228*j.
2*j*(j - 1)*(j + 6)*(j + 19)
Find z such that -5*z**3 + 15*z + 10 = 0.
-1, 2
Let -25*g**5 + 240*g**4 + 675*g**3 + 530*g**2 + 120*g = 0. Calculate g.
-1, -2/5, 0, 12
Find q, given that -6*q**5 + 8*q**4 + 4*q**3 - 8*q**2 + 2*q = 0.
-1, 0, 1/3, 1
Factor -x**4/3 - 5*x**3/3 + 22*x**2/3 - 16*x/3.
-x*(x - 2)*(x - 1)*(x + 8)/3
Factor 4*g**4 - 3260*g**3 - 9804*g**2 - 9812*g - 3272.
4*(g - 818)*(g + 1)**3
Factor -t**4 - 8*t**3 + 3*t**2 + 22*t - 16.
-(t - 1)**2*(t + 2)*(t + 8)
Suppose -5*w**4 - 10*w**3 + 100*w**2 - 120*w = 0. What is w?
-6, 0, 2
Solve 12*h**3 + 27*h**2 + 18*h + 3 = 0.
-1, -1/4
Let -r**2/4 - r + 21/4 = 0. What is r?
-7, 3
Factor -3*j**2 - 1566*j - 3120.
-3*(j + 2)*(j + 520)
Solve 2*q**4 - 20*q**3 + 26*q**2 + 120*q + 72 = 0 for q.
-1, 6
Determine w so that -w**4 - 21*w**3 - 120*w**2 - 100*w = 0.
-10, -1, 0
Solve k**2 - 16*k + 15 = 0.
1, 15
Suppose 2*x**4/13 + 124*x**3/13 + 242*x**2/13 + 120*x/13 = 0. Calculate x.
-60, -1, 0
Determine c so that -2*c**2 + 2 = 0.
-1, 1
What is k in 2*k**3 + 248*k**2 - 502*k + 252 = 0?
-126, 1
Factor k**2/8 + 1787*k/4 + 3193369/8.
(k + 1787)**2/8
Suppose -o**5 - 170*o**4 - 7392*o**3 - 14112*o**2 = 0. What is o?
-84, -2, 0
Find k such that 3*k**2/2 - 336*k = 0.
0, 224
Let -2*r**2 + 88*r/5 + 18/5 = 0. Calculate r.
-1/5, 9
Solve -51*w**2/7 + 9*w - 12/7 = 0 for w.
4/17, 1
Find r such that 295*r**2 - 285*r - 10 = 0.
-2/59, 1
Determine i so that 2*i**2/11 + 258*i/11 + 1000/11 = 0.
-125, -4
Solve -75*m**4 + 4245*m**3 + 1722*m**2 - 3396*m/5 - 1368/5 = 0.
-2/5, 2/5, 57
Let -11*a**3 + 70*a**2 + 53*a - 28 = 0. Calculate a.
-1, 4/11, 7
Factor -f**3 + 21*f**2 - 23*f - 285.
-(f - 19)*(f - 5)*(f + 3)
Let 4*q**4 - 2256*q**3 + 424128*q**2 - 26578688*q = 0. What is q?
0, 188
Factor l**3/3 + 2*l**2 + 11*l/3 + 2.
(l + 1)*(l + 2)*(l + 3)/3
Suppose -x**5 - x**4 + 33*x**3 + 41*x**2 - 232*x - 240 = 0. Calculate x.
-4, -1, 3, 5
Factor -3*l**4/2 + 792*l**3 - 103749*l**2 - 209880*l - 210675/2.
-3*(l - 265)**2*(l + 1)**2/2
Factor -l**5/2 - 5*l**4/2 - 3*l**3 + l**2 + 7*l/2 + 3/2.
-(l - 1)*(l + 1)**3*(l + 3)/2
What is y in 3*y**2/4 - 21*y/2 + 18 = 0?
2, 12
Determine t so that -3*t**2/7 + 348*t/7 - 1017/7 = 0.
3, 113
Find o such that 4*o**5/3 - 108*o**4 + 628*o**3/3 + 108*o**2 - 632*o/3 = 0.
-1, 0, 1, 2, 79
Solve -6*o**3 - 28*o**2 - 34*o - 12 = 0.
-3, -1, -2/3
Factor 5*z**4 - 60*z**3 + 110*z**2 + 420*z + 245.
5*(z - 7)**2*(z + 1)**2
Factor -8*b**4/7 + 4*b**3 - 36*b**2/7 + 20*b/7 - 4/7.
-4*(b - 1)**3*(2*b - 1)/7
Suppose 6*w**3/7 + 24*w**2/7 + 6*w/7 - 36/7 = 0. Calculate w.
-3, -2, 1
Solve -2*i**2/9 - 2584*i/9 - 834632/9 = 0 for i.
-646
Solve -2*g**2/11 + 334*g/11 - 1304/11 = 0.
4, 163
Let p**2/6 - 485*p/3 - 324 = 0. What is p?
-2, 972
Factor g**4/6 + 15*g**3 + 567*g**2/2 - 2736*g - 10368.
(g - 9)*(g + 3)*(g + 48)**2/6
Factor -d**3/4 - 2*d**2 - 17*d/4 - 5/2.
-(d + 1)*(d + 2)*(d + 5)/4
Factor -3*c**2/5 - 846*c/5 - 59643/5.
-3*(c + 141)**2/5
Solve -d**4 - 2*d**3 + d**2 + 2*d = 0.
-2, -1, 0, 1
Factor 5*u**4 - 40*u**3 + 110*u**2 - 120*u + 45.
5*(u - 3)**2*(u - 1)**2
Factor -4*j**3 + 458*j**2 - 680*j + 226.
-2*(j - 113)*(j - 1)*(2*j - 1)
Factor -2*v**3/11 + 6*v**2/11 - 4*v/11.
-2*v*(v - 2)*(v - 1)/11
Factor 2*t**3/9 + 10*t**2/9 + 4*t/9 - 16/9.
2*(t - 1)*(t + 2)*(t | {
"pile_set_name": "DM Mathematics"
} |
t b(w) = -w + 6. Let j be b(6). Suppose j = -s - 0*s + 12. Suppose m = -4*q + s, m - 7 + 4 = -q. Solve -2*p = -5*p + q for p.
1
Let r = 246 - 309. Let k = 65 + r. Solve -q - 7 = -k for q.
-5
Suppose -3*r + 2*j = -50, 4*r - 5*j = 73 - 18. Suppose r*h + 9*h - 116 = 0. Solve 24*c - 28*c = -h for c.
1
Let m(r) = 10*r**2 + r - 13*r + r**3 + 3 + 36*r. Let j be m(-6). Solve -3 - 6 = j*a for a.
-3
Let l be (9/36 + 1/4)*0. Suppose 4*g - 46 = -2*z, -g = -l*g + 4*z + 6. Solve 0 = g*t - 13*t for t.
0
Let d = -77 + 136. Suppose 6*g = 83 - d. Solve -g*q - 12 + 0 = 0 for q.
-3
Let m(o) = o**3 - 11*o**2 - 13*o + 20. Let w be m(12). Let i be (4 + -2 + 1)/(6/w). Let t be ((-2)/4)/(1/(-16)). Solve i*r + 0 = t for r.
2
Let f(s) = 145*s**2 + 3*s - 1. Let u be f(1). Let l be u/28 + (-2)/8. Suppose 4*a = -a + l. Solve -3 = j - a for j.
-2
Let u be (-3268)/86*6/(-57). Solve 24*h - 26*h + u = 0 for h.
2
Let r = 30 - 25. Suppose 211 = -5*f + r*v - 204, -2*f + v = 168. Let b = f - -91. Solve 0*a + b = -2*a for a.
-3
Suppose 6*n = -5*z + 5*n - 37, 5*n - 4 = 2*z. Let l(m) be the third derivative of m**5/60 + m**4/3 + 5*m**3/3 - m**2. Let p be l(z). Solve q - 8 = -p*q for q.
2
Let f(w) = 113*w + 39. Let d be f(-2). Let l = -184 - d. Solve 0 = 4*o - l*o for o.
0
Let a(s) = 3*s**3 + 10*s**2 - 10*s - 1. Let f(t) = -5*t**3 - 19*t**2 + 19*t + 3. Let j(u) = -7*a(u) - 4*f(u). Let r be j(4). Solve -8*d + r = -13 for d.
2
Suppose -3*r - 5*w - 4 = 26, 2*r - 5*w = 5. Let b be (3 + -5 - r) + (-1 - -1). Suppose 0 = -0*k + k - 16. Solve -7*y - k = -b*y for y.
-4
Suppose 0 = -4*m - 3*o + 4 - 3, 5*m + 13 = o. Let d be 85*(m + (-8)/(-20) - -2). Suppose -29*l + d*l = 35. Solve -l + 2 = -5*u for u.
1
Suppose 4*b - c - 40 = 0, 5*c + 10 = b - 0. Suppose 0*u = -2*u - b. Let i(o) = o**3 + 6*o**2 + 6*o + 9. Let q be i(u). Solve 0*x = -4*x + q for x.
1
Suppose 3*q - 28 + 1 = -3*s, 5*q + 4*s = 47. Suppose q*r - 13*r - 8 = 0. Let n be r + ((-2)/(-2) - -4). Solve 3*j - 4*j = -n for j.
1
Let g be (-158 - 16)/((-24)/28). Solve -5*m + g = 183 for m.
4
Suppose -4*i + b - 10 = -i, -4*b = -5*i - 12. Let j = i + 25. Let n be (6/4)/(j/28). Solve -3*d = -n*d + 4 for d.
-4
Suppose 2*p - 54 = 14. Let v = 5192 - 5159. Suppose -p*g + 3 = -v*g. Solve s = g*s for s.
0
Let y = 554 + -506. Solve y*o - 76 = 67*o for o.
-4
Suppose 4*n = -4*j + 268, 4*j + 2*n = -77 + 345. Suppose 4*w = p + j, 11 = 2*w - 12*p + 7*p. Solve 24*a - 30 = w*a for a.
5
Suppose -6*v + 20 = -3*v + 4*j, 2*v + 4*j - 20 = 0. Suppose -5*z = w - v - 11, -w = -4*z - 2. Solve -w*a = -7*a for a.
0
Suppose 21 = w - 89*h + 93*h, 4*w = -3*h + 19. Let o(s) = -s**2 + 6*s + 9. Let n be o(7). Suppose -w = -n*k + 3. Solve 0 = -0*p + k*p - 2 for p.
1
Suppose -4*l + 20*d = -3*l + 53, l + 2 = 3*d. Solve -l*b + 17 - 10 = 0 for b.
1
Let c(q) = -2*q**2 - 3. Let f be c(13). Let a = 351 + f. Solve 7*z - a = 2*z for z.
2
Let i(v) = v**2 - 16*v + 14. Let p be i(19). Let t = 77 - p. Solve -5 = t*x + 13 for x.
-3
Let y be 10/4*(-5 + -1) - -3. Let f be 183/(-7) - y/84. Let q = f - -37. Solve 3*h + q = -1 for h.
-4
Suppose -136 = -34*j + 30*j. Let m = j - 34. Suppose -p - 5*p = m. Solve -i + p*i = -2 for i.
2
Suppose 3*i + 5*b - 25 = 0, 3*i + 5 - 28 = -4*b. Suppose -3*y - 4*z + 26 = -6, -i*z + 21 = -y. Solve -8*a + 16 = -y*a for a.
4
Let s(v) = -3*v - 20. Let d = -1 - 5. Let z be s(d). Let q be 1 + z + (-2 - 1)/(-1). Solve -q*m = m - 15 for m.
5
Let j(c) = c**2 - 12*c + 46. Let w be j(7). Suppose -w*g - g = -72. Solve 28 = -g*z - z for z.
-4
Suppose -2*f - 47 = k - 130, 5*f - 176 = 2*k. Solve -30*u + 49*u + f = 0 for u.
-2
Suppose -3*q = m - 10, 5*q - 6 = 2*q. Suppose 0*y - m*y - 4*j = -4, 2*j = y - 10. Solve 0 = -y*a - 0*a for a.
0
Suppose 207*x - 2795 - 2794 = 0. Solve 15*g - x*g = 24 for g.
-2
Suppose 0 = 4*f + f + 2*y + 10, 3*f = -y - 5. Let c = 1746 + -1741. Suppose f = -2*d + c + 3. Solve d - 19 = 5*q for q.
-3
Suppose 4*v + 289*t - 274 = 287*t, -5 = t. Solve -v*y + 42*y - 174 = 0 for y.
-6
Suppose -16*t = -374 + 166. Solve 10*w + t = 3 for w.
-1
Let k be (-68)/(10/(-135) + (-4 - 6/(-81))). Solve k = -10*a + 57 for a.
4
Suppose 2*u - 4*p = 48, -9*u + 2*p = -7*u - 36. Solve -55*s + 43*s = u for s.
-1
Let s(b) = 7*b**3 + 4*b + 14. Let v be s(-3). Let y = 198 + v. Solve -y - 3 = -7*i for i.
2
Suppose -147*z + 10970 + 173319 + 13279 = 0. Solve 4*t + 1324 = z for t.
5
Let j(y) = -y**3 - 3*y**2 + 4. Let c be j(-3). Suppose -c = -19*g + 17*g. Solve g*v = -v for v.
0
Let n(w) be the second derivative of -w**3/2 + 24*w**2 - 24*w + 2. Let u be n(15). Solve -u*b - 8 - 4 = 0 for b.
-4
Suppose -19 = -6*h + 47. Suppose h*z - 4*z - 70 = 0. Solve 5 = x + z for x.
-5
Suppose 53*y - 2855 = -537 + 1922. Solve 22*k = -52 - y for k.
-6
Let j = -8737 + 8780. Suppose 2*r = 7*r - 15. Solve r*p - 34 = -j for p.
-3
Let k = 80 + -72. Suppose -5*g = k*g - 26. Solve 0 = -g*b + 4*b - 6 for b.
3
Suppose -4*b - 132 = -5*n, 3*b + 15704 = 15695. Let d = -7 - -13. Solve n = -0*s - d*s for s.
-4
Let v(k) = k**3 - 4*k**2 + 6. Let o be v(4). Solve -4*q = -4*q - o*q for q.
0
Let v = 12 + -21. Let u = -2 - v. Let x = 964 + -960. Solve u*r = x*r - 9 for r.
-3
Suppose p - 4*d = -0 + 14, 0 = 2*p + d - 1. Suppose 2*b + 3*b - 48 = -p*v, 0 = -4*v - 4. Solve 5*f = -0 + b for f.
2
Let n(s) = -s**3 + 4*s**2 + 19*s - 26. Let t be n(6). Suppose 0 = -3*u + 14 + t. Solve -6*h + 4 = -u*h for h.
-1
Let z(b) = -32*b + 1017. Let h be z(29). Solve 4 = -91*v + h*v for v.
-2
Let n be 32*(33/(-165))/((-4)/10). Solve -n*c + 15 = 31 for c.
-1
Let v be 305*1/(-3) - 28/84. Let l = -95 - v. Solve -l*f + 20 = -15 for f.
5
Let o be (-15)/(-150)*20*(-2)/4 + 17. Let n be 3*4/(-6) - -7. Solve 0 = n*i - 9 - o for i.
5
Suppose -7 = 4*i - 15. Let x be (5 - 1)/(4/66). Suppose 4*h + 7*h = x. Solve -h + i = -2*u for u.
2
Let t = 530 + -517. Suppose -t*j - 5*b - 4 = -10*j, -5*j + 60 = -5*b. Solve -3*i + 19 = j for i.
4
Let f be (-768)/2688 + 72/(-21)*33/(-4). Solve -45*d + f = -52*d for d.
-4
Let g = 2727 - 2714. Solve 10*v + g*v + 92 = 0 for v.
-4
Let x be (6/(-24)*-46)/(-7*11/(-154)). Solve 21*a + x + 19 = 0 for a.
-2
Suppose -15 = 3*g, -3*g = -2*y - 27 - 24. Let k = -15 - y. Solve -6*i - 6 = -k for i.
2
Suppose 6*i - 2131 = -1999. Suppose -i*m - 5 = -21*m, 5*a + 4*m = -5. Solve 0 = -5*h - a*h + 24 for h.
3
Let k be -22 - -30 - (-4 - 1). Let y be -1 - ((-8)/(-6) - k/3). Solve -3*n + 13 + y = 0 for n.
5
Let u(o) = -o**2 + 27*o + 67. Let r(q) = 3*q**2 - 80*q - 201. Let v(w) = 2*r(w) + 7*u(w). Let s be v(31). Solve 0 = -2*d + s*d - 12 for d.
4
Let m be -4*6/(-9)*-3. Let i = m + 8. Let r = 141 - 141. Solve i = -r*s - 3*s - 12 for s.
-4
Let l(a) = -a**2 - 13*a - 33. Let k be l(-5). Suppose -o = -5*f - k - 21, f = o - 8. Solve o*g - 20 = -g for g.
5
Suppose -2*l - 2*w - 6 = 0, 0 = -0*w - 2*w - 10. Suppose 2*c - 12 = -l*m, -m + 14 = -0*c + 3*c. Solve -3*h - m = -11 for h.
3
Let o be 16*7/224 - 5/(-2). Let c(b) = -b - 1. Let f be c(-5). Solve 0 = f*p + o*p - 7 for p.
1
Let w(s) = s**2 + s - 28. Let n be w(6). Suppose 3*l + 6 = m, -9*m - l = -4*m - n. Suppose -2*t + 26 = -5*z, 4*t + z + 4 = -m*z. Solve t*f + 2 = -4 for f.
-2
Suppose 394*y + 4*q = 398*y - 2332, 4*q + 1160 = 2*y. Solve 15 = -y*m + 581*m for m.
-3
Let z(i) = i**3 - 4*i**2 - 6*i + 5. Suppose -2*v + 9 = 3. Suppose -5*m = v - 28. Let f be z(m). Solve f*p + p = 0 for p.
0
Suppose -3332 = -278*v + 1821 + 963. Solve 21*y - v = -1 for y.
1
Suppose z - 7 = -4*s, 5*z - 20 = 2*s - 7*s. Let l(v) = -v**2 + 13*v - 9. Let q be l(12). Suppose -q*k = -4*k + 2. Solve k*x + z*x = 20 for x.
4
Let o be (0 + -1)*(-2 + 5). Let q = 4 + o. Let u = 20746 + -20735. Solve q - u = -2*k for k.
5
Suppose -6*v = -8*v + 10. Suppose 0*n + 6 = n + 2*j, 0 = v*n + 4*j - 12. Suppose 4*k - k + 2*w = 17, 4*w - 4 = 0. Solve -k*t + 7 - 2 = n for t.
1
Suppose 3*w + 834 = 5*d, 8*d - 3*d - 837 = 4*w. Let b be (-395)/d*-3 - (-4)/(-22). Suppose -f + b = 5. Solve f*i = -15 + 5 for i.
-5
Let z(f) = -f**3 - 12*f**2 - 19*f + 4. Let g be z(-10). Let q be (g/36*2)/(1/(-9)). Let v be (-20)/(-3)*(-4 + 10 - q). Solve -v + 8 = 3*x for x.
-4
Let r = -2821 + 2829. Solve 0 = -8*p + 4*p - r for p.
-2
Let u = -14845 - -15617. Solve 775*b + 21 = u*b for b.
-7
Let c = -4018 + 4025. Solve -28*k = c*k + 140 for k.
-4
Suppose -u - 8*y - 13 = 0, -19 | {
"pile_set_name": "DM Mathematics"
} |
4*h - 6 for z.
1
Let j = -27 + 37. Suppose 11*i - j*i - 5 = 0. Let t(n) = n**3 - 4*n**2 - 5*n - 1. Let y be t(6). Solve -3*a + 2*w - 5 = 0, 1 = 3*a + i*w + y for a.
-5
Suppose 5*h + 0*h = 10. Let c be (-5)/(6/4 - h). Let l(q) = q**2 - 9*q - 6. Let d be l(c). Solve 0 = k + m - 3, d*m = 4*k + 2 + 2 for k.
1
Let q = -2 - -4. Let u = 1 + q. Suppose y = -y + 2. Solve 0 = t + y, -t = u*n - n - 7 for n.
4
Let c be -2 - (-6)/(-3)*-4. Solve 4*m + 4*s - 16 = 2*m, -2*m - 2*s = -c for m.
-2
Let v(y) = y**2 + y + 25. Let x be v(0). Let q = 36 - x. Solve -3*r - 2*r = -3*t + q, -3*t = -2*r - 8 for t.
2
Let h(m) = -m**2 - 8*m. Let v be h(-6). Suppose 0*g = 4*g - v. Solve -g*f = -q - q + 5, -q - 2*f = 1 for q.
1
Let b be -1 - (-3 - (-8)/4). Suppose -3*s + 9 = -2*m - 8, -m - 1 = b. Let z(g) = -3*g - 8. Let v be z(-6). Solve -v = 5*h - 0*j + s*j, j = h - 6 for h.
2
Let h(b) = -b + 5. Let d be h(11). Let g = d - -6. Solve 3*v - 5*s = 5, s + g*s + 29 = -5*v for v.
-5
Suppose g + 37 = -s - 2*s, -4*g = -2*s - 34. Let l be (18/4)/((-2)/(-8)). Let n = s + l. Solve 4*z = -w, 4*z + 17 = -4*w + n for w.
-4
Suppose -2*i + 4*i = -2*c + 12, 0 = -i + 4*c - 19. Let n(m) = i + 0 + 5 - m. Let z be n(4). Solve 13 = 5*k + z*h, h = -5*k + 3 + 6 for k.
1
Suppose 3*y - 102 = 2*r, 0*y + 3*r = -y + 45. Suppose 2*i + 3*i - 8 = -3*h, -3*i - y = -5*h. Solve -u + h = -4*g - 5, 5*g = 4*u for u.
-5
Suppose 3*q - 22 = -2*z, 0 = 3*z - 0*z - 4*q - 16. Let v(y) = -y**2 + 9*y - 4. Let s be v(z). Solve k - 7 + 2 = 0, -s*k + 45 = 5*g for g.
5
Suppose 76 = -2*a + 6*a. Let d = a - 14. Let k(x) = -4*x**3 - x - 1. Let i be k(-1). Solve -i - 1 = -5*v + d*c, -3*c = -4*v for v.
-3
Let n be (-1)/(1 + 9/(-6)). Suppose -3*v = -v - n. Let l be 0 - (2*-1 + 0). Solve 4*s + b = -16, -v = -5*s + l*b - 8 for s.
-3
Let f(d) = d**2 + 3*d + 2. Let m be f(-3). Suppose 2*y - 6 = -0*y. Solve 0*s - y*s + h = 12, h + 3 = -m*s for s.
-3
Let g be (-4)/(-6)*-3 + 7. Let s be 0*(-1)/(-4)*-2. Suppose s*o - g = -o. Solve -5*x = -v - 0*v - 4, o*v - 3 = 2*x for v.
1
Let s(r) = -r**3 + 10*r**2 - 2. Let l be s(10). Let g be (l/5)/(2/(-30)). Solve q = 4*h - g*h - 3, -3*q = -4*h - 11 for h.
-2
Suppose 11 - 31 = -5*y. Solve 3*u + 5*w - y = -u, -5*u + 3*w = 32 for u.
-4
Let m be 2/((-3)/(-4) + -1). Let o = -2 - m. Suppose 3*z - 5 = 7. Solve 10 = -2*v, -3*q - o*v = -z*v + 7 for q.
1
Let k = 7 - -1. Suppose 5*q - 18 = -5*n + 17, k = 4*q. Solve m = -0*m + n*g + 4, 3*m = -4*g - 7 for m.
-1
Suppose 5*c = -h + 14, 0*c = 3*h + 4*c - 20. Suppose -15 = -5*q + h*q. Suppose -4*k + 5 = -q. Solve -k*x = -0*x - 5*d - 5, 2*x + d = 2 for x.
1
Suppose 25 = 2*u + 3*u. Suppose s + 15 = 3*r, -2*r - s - s + 10 = 0. Suppose p = 4*l - 4 - r, -3*p = -l - 6. Solve -1 = -z - l*x - u, 0 = 3*z + 3*x for z.
2
Let f(q) = 1 - q**2 - 2 + 15*q**3 + 2*q**2. Let j be f(1). Suppose -2*b + 1 = -j. Solve 3*s + y = -2*s - 2, -4*y - b = 0 for s.
0
Let s = 19 + -19. Solve 3*m - 4*v - 6 = 0, 5*m + s = 4*v + 2 for m.
-2
Let z(d) = d**3 - 18. Let y be z(0). Let b be 6/y*12/(-2). Let t = 54 + -32. Solve 3*s + s - h = t, b*h - 1 = -s for s.
5
Let m(z) = 2*z**3 - 94*z**2. Let t be m(47). Let r = -2 - -7. Solve r*d = 4*n - t*d + 31, -n + 11 = 5*d for n.
-4
Let y be (3 + -5)/(-1) - -3. Suppose -y*u = -0*u. Let x(o) = 2*o + 4. Let r be x(4). Solve -r = 4*s, u*w + 3*s = -5*w - 34 for w.
-5
Let d = -93 + 109. Solve -3*j + j = 4*v + 16, 0 = 2*v - 3*j + d for v.
-5
Let m be (-93)/9*-1 - 6/18. Solve -4*r = -7*r - j - 10, 2*j = -4*r - m for r.
-5
Let x be 6/(-8) + (-2774)/(-8). Suppose 5*j = x - 101. Let b be (-2)/7 - (-112)/j. Solve 2*a = 2*c, -7*a = -2*c - 4*a + b for c.
-2
Let x = -8 - -13. Suppose -x*i + 2 = -8. Solve -5*s - 3*a + 29 = -0*a, i*s = 5*a - 7 for s.
4
Suppose -6*v = -5*t - 4*v + 18, -3*t - 5*v = 14. Solve -4*m = -3*o - 7, -o - o + t = 4*m for o.
-1
Suppose -f + 6*f + 10 = 0. Suppose c - 5*b = -3*c, -3*c = -b. Let i = c - f. Solve k = -i*t + 4 - 3, -5*k = -3*t + 8 for t.
1
Let z = 1 - -6. Solve -4*t = 4*v - z*t, 0 = 2*t - 8 for v.
3
Suppose -2 = -4*f + 3*f. Suppose 2*u - f*k = -2, -2*k = 2*u + k - 13. Solve -u*z - 2 = -0*z - 3*g, 2*g + 24 = -5*z for z.
-4
Let g(d) = d**3 - 6*d**2 + 2*d - 8. Let u be g(6). Let f be (16/12)/(1/(-3)). Let k = 1 - f. Solve 5*y + 30 = -u*x, -5*y - x = -k*x - 10 for y.
-2
Let s(k) = -2*k - 4. Let i be s(-4). Suppose i*v - 2*v = -3*f, 0 = -2*f - 2*v. Solve x + j + 3*j + 11 = f, 4*x - 1 = -j for x.
1
Let g(h) = -h**2 - 10*h. Let c be g(-10). Solve x = -5*p - 9, c = p + 2*x - 4*x + 4 for p.
-2
Let a(o) = o + 9. Let h be a(0). Solve -3*k + 4*m = 14, 2*k + 0*m + m = h for k.
2
Suppose 13 + 22 = -5*g. Let f = g - -9. Solve 8 = f*l, 0 = y + l + 2*l - 11 for y.
-1
Let y = 4 + -8. Let a = -2 - y. Solve 4*u + 9 = u + a*o, 0 = -5*o for u.
-3
Let a be (-4)/(-2) - -1*2. Suppose a = -z - 3*z, 0 = -5*k - 4*z - 4. Suppose -2*x + 5*x - 6 = k. Solve -x*p - 3*n - 17 = 0, 5*n + 0 = 5*p + 5 for p.
-4
Let w be (1/2)/(2/8). Let i be 1 - -1 - (-1 - 0). Suppose 11 = 5*g + 1. Solve -i*k - 2 = -w*y, 2*y = -g*y - 8 for k.
-2
Suppose 17 = -3*i - 2*i - 3*k, -5*k = -4*i + 16. Let w(a) = -6*a - 1. Let f be w(i). Solve 4 = q + 4*g, -2*q + f*g - 5 = -3*q for q.
0
Let f = 32 + -22. Solve b = -5*u + 8, -u + 3*b - f + 2 = 0 for u.
1
Let j(d) = -d**3 - 6*d**2 - 7*d - 6. Let r be j(-5). Solve 12 = -4*p + r*m - 4, 4*p + 1 = m for p.
1
Let q be (-16 + 18)*(-5)/(-2). Solve 3*h + 9 = -3*z, z + 0 = -5*h + q for z.
-5
Let b = 2 + 1. Suppose -14 = -c + 4*w, 5*c - 5*w - 19 = b*c. Suppose c*h + 0 = 4. Solve -x + 2*x + h*v = 2, 4*x - 2 = -2*v for x.
0
Suppose -8 = 4*s - 0*s. Let z be 1 + -3 + 2*3. Let k = z + s. Solve 3*f - 1 = -i - 6, 2 = k*i for f.
-2
Suppose -3*p + 16 = -5*k, 3*k - 4*p + 10 = -4. Let d(r) = -3*r - 1. Let i be d(k). Let l = 5 + -5. Solve l = -i*w, 0*w - 2*w + 8 = -4*t for t.
-2
Let g = -31 + 34. Solve -2*u - g = 3*q, -q - 3 = 2*q for u.
0
Let g = 33 - 30. Solve -c + 2*w + 11 = 0, g*w = 5*c + w - 31 for c.
5
Suppose 2*w + m = 8, 1 - 26 = -3*w + 5*m. Suppose 4*b = -2*v + 10, -w = -2*v + v + b. Solve -4*i + 12 = -5*j, 9 = -3*i - v*j - 17 for i.
-2
Suppose 0 = 3*w - 5*w. Let v = -8 + w. Let i(o) = o**3 + 8*o**2 - o - 6. Let j be i(v). Solve -3*c - 8 = -3*b - 4*c, -2*b + c + j = 0 for b.
2
Suppose 0 = -5*b + 3*b. Suppose 0 = 2*k - 0*k. Suppose 4*z - 8 - 8 = k. Solve -5*m + b*m + 23 = z*s, 0 = -3*m + 9 for s.
2
Let r = -14 - -16. Let g be (8/(-3))/(r/(-3)). Solve z + 4*a = -7, 0*z - g*a - 12 = -4*z for z.
1
Let v(c) = -c**2 + 12*c - 7. Let b be v(11). Suppose -5 + 1 = -x. Solve -x*n - 2*w - 12 = 0, 2*n + b = -2*w + 2 for n.
-5
Suppose -5*g + 75 = -2*q + 5*q, 4*g - 92 = 4*q. Let v = -12 + g. Solve -7 = 2*j + r, 2*j = v*j + 4*r + 24 for j.
-1
Let g = 7 - 3. Let h be 1*2*(-35)/(-14). Suppose 4*f - g = -p, h*f = 4*p - 0*p - 16. Solve -l - p*l = -a + 7, 7 = -a - 2*l for a.
-3
Let l be (4 + -3)/2*10. Solve -p - 3*o = 4*p - 26, -l*o = p - 14 for p.
4
Suppose -7*r - 7 = -21. Solve 17 = u + 5*f + 7, 3*u + r = f for u.
0
Let i(p) = -p**2 + 6*p - 3. Let t be i(4). Suppose -8*o = -4*o. Suppose -3*r - f = -3, o - 11 = -r + 3*f. Solve -t*s + 2 = y - 11, -2*s + 2*y = r for s.
2
Let g be 12/8 - 6/(-4). Suppose -m + g + 4 = 0. Solve -m = 5*w - 3*z, -2*w - 1 = z - 4*z for w.
-2
Let k = -6 - -8. Suppose k - 10 = 4*i, 0 = 4*p + 2*i - 4. Solve -f - p = -2*y, -4*y + y - f = -8 for y.
2
Let n be (3/(-9))/((-2)/6). Let w be (6/(-12))/(n/(-22)). Let h = w - 7. Solve 0 = 2*u - h*z, -u - 6*z = -z + 14 for u.
-4
Let w = 49 + -27. Suppose j + 4*o - w = 0, 2 = -4*j + 2*o - 0. Let b be 3/6 + 5/2. Solve -j*m + 14 = 6*y - 3*y, -b*y + 2*m + 10 = 0 for y.
4
Suppose 0 = -c + 5*c + 7516. Let u be (-6)/(-27) - c/9. Suppose 84 = -5*j + u. Solve -a + 5 = 5*n, 6*a - j = -n + a for n.
0
Let q = 3 - -1. Suppose 0 = -3*f - n + 1, -q*f - 17 = 5*n - 0*n. Solve -f*s + s - 11 = -4*u, -s - u + 4 = 0 for s.
1
Let a = 16 + 14. Suppose 0 = -5*c - 0*c + a. Let j(w) = -w**2 + 7*w - 4. Let u be j(c). Solve -5*o = -2*y - 2, 3*y + 7*o - 22 = u*o for y.
4
Suppose 0 = 3*x - 0*x - 54. Let s = 21 - x. Solve -12 - 4 = -4*u - 4*k, -k = 2*u - s for u.
-1
Let z be 72/33 + 4/(-22). Suppose z*v + 3 = 9. Solve -3*g + v*j + 24 = 0, -2*j = -3*g + 3*j + 32 for g.
4
Suppose -2*j + 6 = 6. Solve j = -4*d + 2*h - 0*h + 6, 0 = -4*d - 4*h for d.
1
Suppo | {
"pile_set_name": "DM Mathematics"
} |
ue
Does 34 divide 1496?
True
Is 2156 a multiple of 44?
True
Does 24 divide 7248?
True
Does 128 divide 89088?
True
Is 6 a factor of 132?
True
Is 4332 a multiple of 19?
True
Is 28 a factor of 5600?
True
Is 2796 a multiple of 19?
False
Is 30 a factor of 11670?
True
Is 3384 a multiple of 9?
True
Does 30 divide 52752?
False
Does 15 divide 1456?
False
Is 36 a factor of 11155?
False
Does 63 divide 1770?
False
Does 10 divide 323?
False
Is 25 a factor of 2375?
True
Is 6370 a multiple of 7?
True
Is 11225 a multiple of 58?
False
Is 6 a factor of 57126?
True
Is 1742 a multiple of 26?
True
Is 33 a factor of 3688?
False
Does 130 divide 1430?
True
Is 42817 a multiple of 262?
False
Is 65704 a multiple of 344?
True
Is 4 a factor of 49?
False
Is 78 a factor of 33683?
False
Does 67 divide 22780?
True
Is 3712 a multiple of 16?
True
Is 14 a factor of 1127?
False
Does 96 divide 2496?
True
Does 8 divide 204?
False
Is 784 a multiple of 28?
True
Is 15 a factor of 3617?
False
Is 13 a factor of 364?
True
Is 15088 a multiple of 16?
True
Is 781 a multiple of 110?
False
Is 1206 a multiple of 12?
False
Is 500 a multiple of 5?
True
Is 54 a factor of 12268?
False
Is 3228 a multiple of 27?
False
Is 9 a factor of 10737?
True
Is 45 a factor of 495?
True
Is 11 a factor of 2212?
False
Does 18 divide 24660?
True
Is 137 a factor of 13341?
False
Is 13 a factor of 60255?
True
Does 90 divide 5220?
True
Is 1681 even?
False
Is 20232 a multiple of 24?
True
Is 83 a factor of 16019?
True
Does 21 divide 90825?
True
Does 27 divide 28647?
True
Is 9 a factor of 57?
False
Is 5 a factor of 175?
True
Is 132 a multiple of 17?
False
Does 6 divide 570?
True
Is 18 a factor of 1143?
False
Does 41 divide 410?
True
Is 35 a factor of 1085?
True
Is 8 a factor of 156?
False
Is 3 a factor of 2159?
False
Is 17784 a multiple of 18?
True
Does 12 divide 15900?
True
Is 10 a factor of 7127?
False
Is 16 a factor of 2416?
True
Is 17 a factor of 2754?
True
Does 76 divide 4251?
False
Is 567 a multiple of 9?
True
Does 18 divide 4331?
False
Does 37 divide 7437?
True
Does 4 divide 156?
True
Is 20139 a multiple of 137?
True
Is 65 a factor of 25704?
False
Is 1219 a multiple of 53?
True
Is 12204 a multiple of 108?
True
Is 25 a factor of 1350?
True
Is 124 even?
True
Is 23 a factor of 11314?
False
Is 49 a factor of 51110?
False
Is 10236 a multiple of 5?
False
Is 11 a factor of 770?
True
Is 1031 a multiple of 20?
False
Is 40 a factor of 460?
False
Is 3652 a multiple of 44?
True
Does 104 divide 312?
True
Does 8 divide 29792?
True
Does 38 divide 138?
False
Is 434 a multiple of 13?
False
Is 3822 a multiple of 98?
True
Is 40862 a multiple of 94?
False
Is 32 a factor of 1120?
True
Is 183 a factor of 111630?
True
Is 8 a factor of 21999?
False
Is 107 a factor of 7347?
False
Is 783 a multiple of 6?
False
Is 6762 a multiple of 42?
True
Is 18 a factor of 16038?
True
Does 51 divide 9537?
True
Does 325 divide 69363?
False
Does 37 divide 747?
False
Is 75 a factor of 1666?
False
Does 6 divide 2944?
False
Is 2431 a multiple of 13?
True
Is 2889 a multiple of 2?
False
Is 83 a factor of 10819?
False
Is 4 a factor of 780?
True
Does 22 divide 14508?
False
Is 22 a factor of 1210?
True
Is 51702 a multiple of 14?
True
Is 17 a factor of 2343?
False
Is 4997 a multiple of 19?
True
Does 71 divide 24566?
True
Does 11 divide 1899?
False
Is 3 a factor of 57?
True
Is 11033 a multiple of 11?
True
Is 3 a factor of 830?
False
Does 27 divide 2539?
False
Is 1118 a multiple of 43?
True
Does 15 divide 30454?
False
Is 16 a factor of 256?
True
Does 6 divide 2894?
False
Is 620 a multiple of 18?
False
Is 455 a multiple of 66?
False
Is 114132 a multiple of 12?
True
Does 64 divide 768?
True
Is 134 a multiple of 2?
True
Is 847 a multiple of 21?
False
Does 4 divide 10888?
True
Is 615 a multiple of 4?
False
Is 5 a factor of 37135?
True
Is 90 a factor of 1170?
True
Does 3 divide 894?
True
Is 270 a multiple of 5?
True
Is 7180 a multiple of 38?
False
Is 158 a factor of 14543?
False
Is 3280 a multiple of 4?
True
Does 15 divide 21884?
False
Is 9852 a multiple of 4?
True
Does 11 divide 492?
False
Is 37 a factor of 15096?
True
Is 12 a factor of 22971?
False
Does 21 divide 12138?
True
Does 7 divide 278?
False
Is 23786 a multiple of 14?
True
Is 30 a factor of 1747?
False
Is 5869 a multiple of 3?
False
Does 12 divide 6576?
True
Does 17 divide 2822?
True
Does 19 divide 2812?
True
Is 22 a factor of 2573?
False
Is 6 a factor of 9666?
True
Is 95928 a multiple of 24?
True
Is 3340 a multiple of 5?
True
Is 156 a factor of 4836?
True
Is 8 a factor of 899?
False
Is 244 a factor of 11220?
False
Is 8 a factor of 734?
False
Is 44 a factor of 25978?
False
Is 6 a factor of 12723?
False
Is 6 a factor of 1925?
False
Is 4365 a multiple of 15?
True
Is 8 a factor of 32?
True
Does 6 divide 186?
True
Does 7 divide 3851?
False
Is 28417 a multiple of 181?
True
Does 51 divide 969?
True
Does 34 divide 1365?
False
Is 15 a factor of 1021?
False
Is 2899 a multiple of 49?
False
Does 7 divide 1779?
False
Is 4 a factor of 936?
True
Is 23 a factor of 230?
True
Does 12 divide 16612?
False
Is 227 a factor of 1362?
True
Is 17 a factor of 231?
False
Is 6697 a multiple of 47?
False
Does 57 divide 9348?
True
Does 22 divide 1540?
True
Is 88 a multiple of 4?
True
Does 47 divide 94?
True
Does 65 divide 1066?
False
Is 14 a factor of 2786?
True
Does 2 divide 8135?
False
Is 3 a factor of 144?
True
Is 40 a factor of 4036?
False
Is 38 a factor of 1152?
False
Is 22 a factor of 351?
False
Is 350 a multiple of 10?
True
Does 28 divide 16716?
True
Is 10 a factor of 381?
False
Is 11 a factor of 11?
True
Is 2311 a multiple of 110?
False
Is 58015 a multiple of 9?
False
Is 14476 a multiple of 28?
True
Is 15 a factor of 5953?
False
Is 7392 a multiple of 18?
False
Does 5 divide 525?
True
Is 4 a factor of 101?
False
Is 5684 a multiple of 53?
False
Is 7679 a multiple of 21?
False
Is 4521 a multiple of 26?
False
Is 3 a factor of 12?
True
Does 13 divide 7462?
True
Is 55 a factor of 2090?
True
Does 23 divide 23276?
True
Does 10 divide 901?
False
Does 23 divide 529?
True
Is 63 a factor of 693?
True
Is 20935 a multiple of 79?
True
Is 632 a multiple of 14?
False
Is 15276 a multiple of 67?
True
Does 52 divide 25792?
True
Is 41 a factor of 1737?
False
Does 26 divide 2259?
False
Is 384 a multiple of 16?
True
Is 19 a factor of 89417?
False
Is 64 a factor of 10639?
False
Is 23 a factor of 2139?
True
Does 4 divide 568?
True
Does 40 divide 320?
True
Does 69 divide 5451?
True
Is 8021 a multiple of 51?
False
Does 32 divide 97?
False
Does 32 divide 64?
True
Is 5 a factor of 6969?
False
Is 9 a factor of 361?
False
Is 34 a factor of 167?
False
Is 668 a multiple of 10?
False
Is 24714 a multiple of 6?
True
Is 30 a factor of 6750?
True
Is 121 a factor of 7728?
False
Does 285 divide 34061?
False
Is 1128 a multiple of 5?
False
Is 759 a multiple of 16?
False
Is 91 a factor of 38129?
True
Is 8 a factor of 760?
True
Is 111 a factor of 6327?
True
Does 115 divide 923?
False
Does 86 divide 35896?
False
Does 5 divide 2012?
False
Is 4 a factor of 55736?
True
Is 155 a factor of 9220?
False
Is 384 a multiple of 12?
True
Is 1245 a multiple of 8?
False
Is 8 a factor of 4389?
False
Does 26 divide 12116?
True
Is 1208 a multiple of 3?
False
Does 44 divide 4809?
False
Is 2 a factor of 233?
False
Is 189 a multiple of 3?
True
Does 10 divide 4050?
True
Is 13 a factor of 979?
False
Does 35 divide 446?
False
Does 26 divide 1310?
False
Does 21 divide 946?
False
Is 10 a factor of 5610?
True
Does 176 divide 6842?
False
Does 3 divide 618?
True
Is 2629 a multiple of 11?
True
Does 71 divide 113671?
True
Is 126 a multiple of 18?
True
Is 1859 a multiple of 42?
False
Is 51 a factor of 10536?
False
Is 10 a factor of 2036?
False
Is 4 a factor of 776?
True
Is 944 a multiple of 16?
True
Is 9236 a multiple of 6?
False
Is 6120 a multiple of 20?
True
Is 65 a factor of 6890?
True
Does 2 divide 888?
True
Is 648 a multiple of 18?
True
Does 118 divide 5900?
True
Is 29040 a multiple of 20?
True
Is 287 a multiple of 11?
False
Does 23 divide 184?
True
Does 82 divide 9922?
True
Is 23290 a multiple of 7?
False
Does 140 divide 36704?
False
Is 243 a factor of 21141?
True
Does 10 divide 3474?
False
Is 22960 a multiple of 112?
True
Is 41405 a multiple of 65?
True
Is 486 a multiple of 3?
True
Is 473 a multip | {
"pile_set_name": "DM Mathematics"
} |
- 131/7. Let u = -184/435 + j. What is the closest to q in u, 1, 3?
u
Let g = 41 + -42. Which is the closest to -2/5? (a) 111 (b) 5 (c) g (d) -0.5
d
Suppose -4*l - 13 = -3*f, -5*f = 3*l + 2*l - 10. Suppose -313*w = -295*w - 18. Which is the nearest to 1? (a) w (b) l (c) 13
a
Let x be ((-2760)/140 - -20) + 200/(-651). Which is the nearest to x? (a) 0.1 (b) 14 (c) 3
a
Let v = -1.04181 + 0.34181. Let p = 0 - 0.5. Which is the closest to v? (a) -2 (b) -0.1 (c) p
c
Let q = 4.914 - 1.914. Let s = 4.15 + -0.15. Let t = 4.2 - s. Which is the closest to 0.2? (a) -0.08 (b) t (c) q
b
Let t = 2.06281 - 0.06281. Which is the closest to 7? (a) t (b) 0.4 (c) 92
a
Let u be (7017/15 - 0)*(-7 + 8). Let h = u - 468. Which is the nearest to 0.4? (a) h (b) -1/7 (c) -3
b
Suppose 0 = -2*x + i + 54, 0 = -181*i + 176*i + 30. What is the closest to 3 in 3, 1, x, -1/7?
3
Let j = -2/911 - -1832/4555. Let q be -1*1 + (-78)/(-91). What is the closest to 0 in 14, q, j?
q
Let t be 0 - (1 - 4) - (-10 + 23). Let h(w) = -w**2 - 6*w + 45. Let r be h(t). Let y = -3/52 - -133/52. What is the closest to 0.1 in -5, y, r?
y
Let n = 0.02 - 0.92. Let x = n - -1. Let v = -841.5 + 842. What is the closest to x in v, 0.1, 0.07?
0.1
Let j = -228.5 + 228.5. Let r be -22*2/(-12) - (2 + 1). What is the nearest to r in -0.3, j, 0.3, -1/4?
0.3
Let l = -354 + 354.2. Let u be -160 + (-100)/10 - (1 + 0). What is the nearest to l in -5, u, -2/3?
-2/3
Let f = 0.51 + -0.41. Let q = 319 - 313.24. Let o = -0.24 - q. Which is the nearest to f? (a) 2/9 (b) o (c) 1
a
Suppose 5*v = -2*m - 3, 5 = -3*v - v + m. Let r = 288 + -1437/5. What is the nearest to v in 1/11, -0.5, r?
-0.5
Let d be ((-3)/2)/(3/(-2)). Let n(z) = 3*z**2 + 125*z + 79. Let v be n(-41). Suppose 4*t - 2*t - 6 = 0. What is the closest to v in 0.2, t, d?
0.2
Let k(g) = g**2 + 31*g + 211. Let j be k(-10). Which is the nearest to j? (a) -2/13 (b) -5 (c) 0.2 (d) 4.4
c
Let l = 60787/3 - 20262. Which is the closest to 3? (a) -1 (b) l (c) 712 (d) 0
b
Let w = 1447/2 + -724. Let m be (-81)/(-15) + 4/(-10). Suppose -6 - 4 = -m*i. Which is the closest to -1/2? (a) w (b) 4 (c) i
a
Let i = -324.3 - -320.3. Which is the closest to i? (a) 321 (b) -2 (c) -4 (d) -5
c
Let c = 0 + 1. Let g be (-13)/(39/(-18)) - (27 + 1). Let n be 2/(-10)*(4 - (-33)/g). What is the closest to 2/3 in -2, c, n?
c
Suppose 4*w - 4*r - 836 = 0, -2*w - r - 4*r + 404 = 0. Let m = 205 - w. Let y = -2 - -3. What is the nearest to 0 in y, m, 3?
y
Let v(d) = 4*d**2 + 4*d + 39. Let q be v(10). Suppose 477*x - 22 = q*x. Which is the closest to x? (a) 0.1 (b) 2 (c) 4
a
Let q = 98.4 - 165.7. Let s = q - -67. Which is the nearest to 8? (a) -3/7 (b) s (c) 4
c
Let m = 8156 + -8159. What is the nearest to -0.1 in 0, m, 0.078, 1?
0
Let o be 0 + -3 - (2 - -9 - -61). Let x = -524/7 - o. Which is the nearest to 0? (a) x (b) 3 (c) -0.1
c
Let o be 2 - ((4 - -4) + -3) - (-99)/36. Let b be (4/10)/(7/(-5)). What is the closest to b in -0.4, -4, o?
o
Let x be ((-14)/(-3))/2 - ((-2378)/(-30))/29. Which is the nearest to 12/13? (a) 26 (b) x (c) -0.5
b
Let d = -38 + 53. Let n = -261 - -260. Let y be n/2*(-38)/57. Which is the nearest to 2? (a) y (b) d (c) 1/5
a
Let p = -173830 - -173833. Let s(z) = z + 4. Let t be s(-5). What is the nearest to 23 in p, 0.4, t?
p
Let g be ((-18)/(-54))/((-1)/(-2)). Suppose -5 - 3 = -4*s. Let f = 5479.5 - 5480. Which is the closest to g? (a) f (b) s (c) 3
a
Let n = 44.26 + -49.26. Let s be 2/6*12/8. Which is the nearest to n? (a) s (b) 2/19 (c) -2/7
c
Let v be 4/(-6) - (9 + (7 - 16)). Let r = -130 + 128. Which is the nearest to r? (a) v (b) 0 (c) -11
a
Let u = -0.06 - -5.06. Let m = -7/580 + 297/580. Which is the nearest to -0.2? (a) u (b) 0 (c) m
b
Let y = 4.1 - 1.1. Suppose 0 = 7*g + 36 - 155. Let z = -12 + g. What is the closest to 0.1 in z, y, 2?
2
Let m = 2 + -1.8. Let c = 488 + -488.698. Let u = c - -0.098. What is the closest to -0.1 in u, m, -2?
m
Let m = 47.64 + -52.64. What is the closest to 0.082 in 3/2, -0.4, m?
-0.4
Let o = 1118 + -1117.1. Let d = 2.1 + -2.3. What is the nearest to -2 in d, o, -0.5?
-0.5
Let h = -86 - -88. Let w be -3 - 29*h/(-18). Let m = 0.1 - -0.2. Which is the closest to 0.1? (a) w (b) -2 (c) m
a
Let h = -2368 - -2364. Which is the nearest to -2/5? (a) -0.15 (b) h (c) 2/3 (d) 0.5
a
Let x = -10.773 - -10.273. Which is the closest to 0.4? (a) 25 (b) -2/7 (c) x (d) -0.3
b
Let t be (-2)/(-6) - (-2)/(-6). Let a = -0.0556 + 64.0556. What is the closest to t in a, 2/3, 0.2?
0.2
Let q = -55/2 - -82/3. Let f = 0.21 + 27.79. Let u = 13 - f. Which is the closest to u? (a) 2/17 (b) 0.2 (c) q
c
Let v be (1 - 1)/(2/(-2)). Let n be (-8)/(-18)*2/(-4). Suppose 181214 = -145*q + 179474. Which is the nearest to v? (a) n (b) -5 (c) q
a
Let v = 55.3 - 55.752. Let l = v - -0.052. Which is the nearest to -1? (a) 2/9 (b) l (c) 1/4
b
Let n = -27788 + 83363/3. What is the nearest to 0 in -1/2, 1/6, -1.8, n?
1/6
Let q = 3 - 6. Let g = 84446.7 - 84447. What is the closest to -8/11 in g, q, -1?
-1
Let b = -69.48 - -69.38. Let p = 203/90 + -4/45. What is the closest to 1/2 in p, b, -0.2?
b
Let q = 278.98 + -279. Let j = -45.8 - -41.8. Which is the nearest to q? (a) j (b) 1 (c) 2
b
Let t = -4.02 - -251.02. Let o = t - 227. Let j = 6 - 6.2. Which is the nearest to o? (a) 1/6 (b) j (c) -2/11
a
Let b = -298.39 + -5.11. Let v = 303 + b. What is the closest to -12 in -2/5, 3, v, 0.2?
v
Let n = -701 - -1266. Let r = 564.5 - n. What is the nearest to -1 in 4, 0, r, 0.5?
r
Let k be 9/(-12) + (0 - -1). Let m be 396/(-16) - (22 + -46). Which is the closest to k? (a) m (b) 4 (c) -3/2 (d) 3
a
Let h = -6.691 + 3.691. What is the closest to -2 in -13, 0.4, h?
h
Let k = -490 - -491. Let x be (-39)/(-33) - 4/22. Which is the nearest to x? (a) k (b) 1/5 (c) -0.1
a
Let f = -0.4 - -0.416. Let h = -284.016 - -297. Let d = h + f. Which is the nearest to 2/3? (a) 2/5 (b) 2 (c) d
a
Suppose 3*j = -2*j - 2*y - 254, -4*y + 92 = -2*j. Let o = j - -50. Let v = 159/4 - 40. Which is the closest to o? (a) -3 (b) 0.5 (c) v
c
Let j = 545.21 + -542. Let z = 2.21 - j. Which is the closest to 0.1? (a) -4 (b) 20 (c) z
c
Let q = -1598 + 3197/2. Which is the closest to -1/3? (a) -3.3 (b) q (c) 2 (d) -2
b
Let y = 13 + -6. Suppose -8*h + 74 + 38 = -2*r, -2*r - 3*h = -20. What is the closest to 0 in 2, -5/3, r, y?
-5/3
Let g = 558 + -15061/27. Let f = -17/189 + g. Suppose 3 + 7 = 5*o. Which is the closest to 0? (a) f (b) 0.2 (c) o
a
Let o be (-360)/(-56) + (-8)/(-14). Let v = 83 + -82.8. Which is the closest to -0.1? (a) 12 (b) v (c) o
b
Let p = 0.77926 - -0.22074. Which is the nearest to p? (a) 0.1 (b) -7 (c) 122
a
Let v = -2559 + 2554. Which is the nearest to -0.03? (a) 3/7 (b) 0.07 (c) 3 (d) v
b
Let o = -3.754 + 3.854. Which is the nearest to -1? (a) -0.011 (b) o (c) -5
a
Let r = -1765.03 + 1765. Which is the nearest to r? (a) 0.4 (b) 0.1 (c) -2/5
b
Let n = -2904 - -2903.8. Which is the closest to -0.07? (a) 0.4 (b) n (c) 0.6 (d) 0.027
d
Let f = 8 - 14. Let h be -2 + (-12)/15*-2. Let t(q) = q**3 + 12*q**2 + 3*q - 168. Let p be t(-10). Which is the closest to f? (a) -5 (b) h (c) p
a
Let n = -37.07 - -37.37. Let v(r) = r - 3. Let f be v(7). Let u = 6 - 8. Which is the closest to n? (a) u (b) f (c) 2/3
c
Let a = -107 + 109. Let v = -162 + 152. What is the nearest to v in 5, 2/13, a?
2/13
Let q = -6.72 - -18.4. Let g = 6.49 - q. Let r = 0.19 + g. Which is the nearest to -0.4? (a) -0.4 (b) 2 (c) r
a
Let w = 0.095 + 5.205. Let x = w + -5. Let t(z) = 257*z + 1026. Let k be t(-4). What is the closest to k in x, 4, -3?
-3
Suppose 4*v - 3*k = v, 0 = -3*v + 2*k. Let q be ((-48)/28)/(-6)*-1. Which is the nearest to 2? (a) q (b) -5 (c) v
c
Let j = 31982 - 31981. Let p = -0.8 + -0.2. Which is the nearest to p? (a) 9 (b) -0.1 (c) j
b
Let y be 242/(-330)*-15 + -10. What is the closest to y in 0.09, 667, -0.3?
0.09
Let m = 158 - -137. Let o = m - 295.2. Which is the nearest to o? (a) -52 (b) 0.3 (c) -5/3
b
Let d be (-50)/(-8)*268/201 + -8. Let p = 4 + 0. Which is the closest to d? (a) p (b) 0 (c) -7
b
Suppose 8*w - 5*w - 15 = 0. Let q = 1.221 - 1.721. Which is the near | {
"pile_set_name": "DM Mathematics"
} |
t one million?
161000000
What is 0.004987 rounded to 3 dps?
0.005
What is -168600000 rounded to the nearest 1000000?
-169000000
Round -20309200 to the nearest 100000.
-20300000
What is -3325.9 rounded to the nearest ten?
-3330
Round -7539 to the nearest 1000.
-8000
Round 609280 to the nearest one hundred thousand.
600000
What is 1202.6 rounded to the nearest one hundred?
1200
Round 0.00014339 to five dps.
0.00014
What is 338.7 rounded to the nearest one hundred?
300
Round -0.047037 to three dps.
-0.047
Round -0.16889 to two dps.
-0.17
What is -730.9 rounded to the nearest ten?
-730
Round -1766.35 to the nearest ten.
-1770
Round 0.00131 to four dps.
0.0013
Round -0.12619 to two decimal places.
-0.13
What is -8159200 rounded to the nearest one million?
-8000000
Round 1533.6 to the nearest ten.
1530
What is -16320000 rounded to the nearest 1000000?
-16000000
What is -197205 rounded to the nearest ten thousand?
-200000
What is -2373500 rounded to the nearest ten thousand?
-2370000
Round -27801.6 to the nearest 100.
-27800
Round -0.0758 to 2 decimal places.
-0.08
Round 0.4 to zero dps.
0
What is -0.001081 rounded to five decimal places?
-0.00108
Round 0.00029715 to 5 dps.
0.0003
Round -6031.7 to the nearest 1000.
-6000
What is -97070000 rounded to the nearest 1000000?
-97000000
What is -1.7566 rounded to one dp?
-1.8
What is -0.0000049 rounded to 6 decimal places?
-0.000005
What is -91500 rounded to the nearest 10000?
-90000
What is 549.4 rounded to zero dps?
549
What is 8025 rounded to the nearest ten thousand?
10000
Round -920000 to the nearest 100000.
-900000
What is -5.5225 rounded to 2 decimal places?
-5.52
Round -0.000002228 to seven decimal places.
-0.0000022
Round 628240 to the nearest ten thousand.
630000
Round -0.0000037989 to 7 dps.
-0.0000038
What is -0.00056776 rounded to 4 decimal places?
-0.0006
What is -0.0000001077 rounded to seven dps?
-0.0000001
What is -82.402 rounded to 0 dps?
-82
Round -5758000 to the nearest 100000.
-5800000
What is 1243.7 rounded to the nearest 10?
1240
What is -1758640 rounded to the nearest 10000?
-1760000
Round 0.014897 to 4 decimal places.
0.0149
What is -21880000 rounded to the nearest 1000000?
-22000000
What is -2.641 rounded to zero dps?
-3
What is -0.000277 rounded to four decimal places?
-0.0003
Round -636100 to the nearest one hundred thousand.
-600000
Round -0.0031195 to 4 dps.
-0.0031
What is 1.7658 rounded to 2 dps?
1.77
Round -2.25747 to one dp.
-2.3
Round -114030 to the nearest 1000.
-114000
Round 1.006 to 2 decimal places.
1.01
Round -73800 to the nearest one thousand.
-74000
What is -491590 rounded to the nearest ten thousand?
-490000
Round 84.444 to the nearest ten.
80
Round 39180000 to the nearest 1000000.
39000000
Round -0.001224 to 5 decimal places.
-0.00122
Round -0.007272 to 3 decimal places.
-0.007
Round -404.38 to the nearest ten.
-400
What is -0.001092 rounded to 3 decimal places?
-0.001
What is 1770500 rounded to the nearest 100000?
1800000
What is 21937200 rounded to the nearest one hundred thousand?
21900000
Round -3.455 to 1 decimal place.
-3.5
Round -0.00000135848 to 7 decimal places.
-0.0000014
What is -835.7 rounded to the nearest one hundred?
-800
Round 5436 to the nearest one thousand.
5000
Round -23.53 to 1 dp.
-23.5
Round 4676.1 to the nearest one hundred.
4700
Round 23632000 to the nearest one hundred thousand.
23600000
Round 0.000559 to 4 dps.
0.0006
What is -2.4347 rounded to one decimal place?
-2.4
Round 36950 to the nearest one hundred.
37000
What is 234.7 rounded to the nearest 100?
200
What is -7408000 rounded to the nearest one million?
-7000000
What is 10470 rounded to the nearest 10000?
10000
What is 0.00000035792 rounded to seven decimal places?
0.0000004
What is -31.7 rounded to 0 decimal places?
-32
What is -9482.7 rounded to the nearest one hundred?
-9500
What is 147890 rounded to the nearest ten thousand?
150000
What is -0.001707 rounded to four dps?
-0.0017
Round -0.000001178 to 6 decimal places.
-0.000001
Round -73930 to the nearest 10000.
-70000
What is 0.0004505 rounded to 4 decimal places?
0.0005
What is 5.61 rounded to the nearest integer?
6
Round -0.096936 to three decimal places.
-0.097
Round -514.3 to the nearest 10.
-510
Round 0.00022494 to 6 decimal places.
0.000225
What is 0.0000108815 rounded to seven dps?
0.0000109
What is 182185 rounded to the nearest 10000?
180000
What is 0.02507 rounded to 1 decimal place?
0
What is 372900 rounded to the nearest 100000?
400000
Round 0.00133583 to four dps.
0.0013
Round 5.968 to 1 dp.
6
Round -0.00050856 to six decimal places.
-0.000509
Round 26.044 to zero decimal places.
26
What is 9910 rounded to the nearest one hundred?
9900
Round 0.004203 to 3 decimal places.
0.004
Round -2225700 to the nearest 100000.
-2200000
Round -0.000005518 to seven decimal places.
-0.0000055
Round -0.01255 to 3 dps.
-0.013
What is 0.382 rounded to 1 decimal place?
0.4
What is -0.0002139 rounded to 5 dps?
-0.00021
Round -89548 to the nearest 10000.
-90000
What is 0.004985 rounded to 3 decimal places?
0.005
Round 845 to the nearest 1000.
1000
Round -521.22 to the nearest 100.
-500
What is 0.4745 rounded to two decimal places?
0.47
Round 0.030763 to 2 decimal places.
0.03
Round 6.681 to the nearest integer.
7
What is 0.00028126 rounded to 5 dps?
0.00028
What is 54.25 rounded to the nearest ten?
50
What is 417.64 rounded to the nearest 10?
420
Round -1.8227 to two decimal places.
-1.82
Round -277890 to the nearest 1000.
-278000
Round -0.0010312 to four decimal places.
-0.001
What is -0.13262 rounded to 3 dps?
-0.133
Round 3.4771 to one dp.
3.5
Round -5471 to the nearest 1000.
-5000
Round 70342 to the nearest ten thousand.
70000
Round 0.0020997 to 4 decimal places.
0.0021
Round -15846.2 to the nearest one thousand.
-16000
What is 4484.8 rounded to the nearest 1000?
4000
Round 0.6951 to one decimal place.
0.7
Round -0.1074 to 2 dps.
-0.11
What is -1289.3 rounded to the nearest 10?
-1290
Round -132900 to the nearest 10000.
-130000
Round 49650000 to the nearest 1000000.
50000000
What is -6413.1 rounded to the nearest 1000?
-6000
What is 0.01014 rounded to 3 decimal places?
0.01
What is -107300 rounded to the nearest ten thousand?
-110000
What is 2800000 rounded to the nearest 1000000?
3000000
What is 58573 rounded to the nearest one hundred?
58600
Round -9677.5 to the nearest 100.
-9700
What is 0.00236292 rounded to five dps?
0.00236
Round 0.000001147 to 6 decimal places.
0.000001
What is 157.32 rounded to the nearest 10?
160
What is 0.00204037 rounded to 5 dps?
0.00204
What is -0.000524 rounded to 5 decimal places?
-0.00052
Round -20.5256 to 1 dp.
-20.5
What is -82.9 rounded to the nearest 10?
-80
What is 112800 rounded to the nearest ten thousand?
110000
Round 39432000 to the nearest 1000000.
39000000
What is 0.0049217 rounded to 5 decimal places?
0.00492
Round -2.4809 to two dps.
-2.48
What is -0.3577 rounded to two decimal places?
-0.36
Round -0.000009422 to 6 dps.
-0.000009
Round -3522 to the nearest ten thousand.
0
Round 22510 to the nearest ten thousand.
20000
What is -0.1734 rounded to three dps?
-0.173
What is 0.000050169 rounded to six dps?
0.00005
What is 0.0027059 rounded to 3 decimal places?
0.003
What is -0.04333 rounded to two dps?
-0.04
What is 319700 rounded to the nearest one thousand?
320000
Round -0.000001565 to 6 dps.
-0.000002
What is 93.4 rounded to the nearest ten?
90
Round 0.736 to one dp.
0.7
What is -196440 rounded to the nearest 1000?
-196000
Round -1853 to the nearest 1000.
-2000
What is 5967000 rounded to the nearest one hundred thousand?
6000000
Round 9.15 to the nearest integer.
9
Round 0.000013062 to 6 decimal places.
0.000013
What is 0.00000123 rounded to 5 decimal places?
0
Round 0.164731 to three dps.
0.165
What is -1790400 rounded to the nearest ten thousand?
-1790000
Round -1634.53 to the nearest one hundred.
-1600
Round -2251 to the nearest 100.
-2300
Round 0.000003559 to 7 dps.
0.0000036
What is -18.831 rounded to 1 dp?
-18.8
Round -0.00017351 to five dps.
-0.00017
What is -0.0000233 rounded to five dps?
-0.00002
What is -2455200 rounded to the nearest one million?
-2000000
Round -0.00010466 to six decimal places.
-0.000105
What is 0.4223 rounded to two dps?
0.42
What is 1.82 rounded to zero d | {
"pile_set_name": "DM Mathematics"
} |
in decreasing order.
1800, 1, -1, -2, -29
Put 5, -4, 6, -4094, -3 in decreasing order.
6, 5, -3, -4, -4094
Sort -4, 5, -997, 1, 11 in ascending order.
-997, -4, 1, 5, 11
Put 9, 896, -3 in ascending order.
-3, 9, 896
Put -1333/8, 1, -2 in increasing order.
-1333/8, -2, 1
Sort -5559, -3, 42 in descending order.
42, -3, -5559
Sort -4/7, 3033/5, 43/2.
-4/7, 43/2, 3033/5
Put 2/11, -69, 0, -17, 4 in ascending order.
-69, -17, 0, 2/11, 4
Sort -0.2, -5, -1.18, -7 in ascending order.
-7, -5, -1.18, -0.2
Put 1/8, 2/3, 2, -0.5, 5, -4.7 in descending order.
5, 2, 2/3, 1/8, -0.5, -4.7
Put -517, 2, 4, 1, -9 in descending order.
4, 2, 1, -9, -517
Sort 6, 22429, -4, 1/2.
-4, 1/2, 6, 22429
Sort -1, -0.4, 30, 6, 5.
-1, -0.4, 5, 6, 30
Sort -7, -3, 2, -2, -153 in ascending order.
-153, -7, -3, -2, 2
Put 3/68, -18, 0, -0.1, 1 in decreasing order.
1, 3/68, 0, -0.1, -18
Sort -0.25, -2, 290, 1/6 in decreasing order.
290, 1/6, -0.25, -2
Sort 1, 2, -0.07, 4.8, 9.
-0.07, 1, 2, 4.8, 9
Put 2/45, -0.4, 4/5, -5, -34 in increasing order.
-34, -5, -0.4, 2/45, 4/5
Sort 2, 0.7, 58, -3.1 in ascending order.
-3.1, 0.7, 2, 58
Sort 0.2, 245, -1, -4/3, -5, -3.
-5, -3, -4/3, -1, 0.2, 245
Sort -0.345, -3, -13, -0.1, -2/5.
-13, -3, -2/5, -0.345, -0.1
Put 1/4, 1, -3, 1394, 0.2, -15 in increasing order.
-15, -3, 0.2, 1/4, 1, 1394
Sort 356, -1/25, 0.4, -40 in increasing order.
-40, -1/25, 0.4, 356
Put 3, 1, -11, -1, 519 in ascending order.
-11, -1, 1, 3, 519
Sort -2/11, -0.5, 19.69, 2, 1.
-0.5, -2/11, 1, 2, 19.69
Sort -2, 2, -22112, 3, 4.
-22112, -2, 2, 3, 4
Sort 5, 0.39, 0.3, 2, 1/3, -4/3 in decreasing order.
5, 2, 0.39, 1/3, 0.3, -4/3
Sort 2/9, 4/9, 3, -8, 1/3 in ascending order.
-8, 2/9, 1/3, 4/9, 3
Sort -2/7, -20.5, 5, -2/3 in decreasing order.
5, -2/7, -2/3, -20.5
Sort -799, -1, -0.03.
-799, -1, -0.03
Sort -2, -14, -1, -7, -20, 36 in decreasing order.
36, -1, -2, -7, -14, -20
Put -13, -2, -0.2, -8, 66, -1 in increasing order.
-13, -8, -2, -1, -0.2, 66
Sort -855, -0.1, 2/5, 57 in descending order.
57, 2/5, -0.1, -855
Put -4, 1, -1, -89, 3 in increasing order.
-89, -4, -1, 1, 3
Sort 0, 10204, -27 in decreasing order.
10204, 0, -27
Sort -75217, -5, -2 in descending order.
-2, -5, -75217
Sort 55, -17, 1, 5, -4, -3 in increasing order.
-17, -4, -3, 1, 5, 55
Put -3, -0.2, -2/3, -1/3, -2, 840 in descending order.
840, -0.2, -1/3, -2/3, -2, -3
Sort -14, -1, -2, 1, 1032.
-14, -2, -1, 1, 1032
Sort -3, -7, 3, 4, 265 in descending order.
265, 4, 3, -3, -7
Sort -7809, -9, 4 in descending order.
4, -9, -7809
Sort -0.08, -9/2, -0.9, 5, 10, 2/9 in decreasing order.
10, 5, 2/9, -0.08, -0.9, -9/2
Put 0, 78, 1, -2, -29, -1 in decreasing order.
78, 1, 0, -1, -2, -29
Sort -0.5, -23.8, 23/2, -0.2 in ascending order.
-23.8, -0.5, -0.2, 23/2
Sort -25, -3, -4, -2, -5 in ascending order.
-25, -5, -4, -3, -2
Put 77.2, 0.1, 75, 4 in increasing order.
0.1, 4, 75, 77.2
Sort -2/1223, 0.4, 9/29 in increasing order.
-2/1223, 9/29, 0.4
Put 15063, -4, 1, 5 in decreasing order.
15063, 5, 1, -4
Sort 0.038, -5, -359, -3 in descending order.
0.038, -3, -5, -359
Sort -3, 2, 15, 0 in descending order.
15, 2, 0, -3
Sort -5, -10/377, -1/3, 0, -3 in ascending order.
-5, -3, -1/3, -10/377, 0
Sort -69/4, -220, -0.2.
-220, -69/4, -0.2
Sort -2500, -0.4, -126 in descending order.
-0.4, -126, -2500
Sort 5, -1, -3, -2, -42, -5 in ascending order.
-42, -5, -3, -2, -1, 5
Sort -14, -1/4, -5, -4.8, -2.
-14, -5, -4.8, -2, -1/4
Sort -2, -1, -3, 10, 36 in descending order.
36, 10, -1, -2, -3
Put 66/7, -120/41, 6 in descending order.
66/7, 6, -120/41
Sort 959, -3, 67 in increasing order.
-3, 67, 959
Sort -1, 3, -5, 23, -4, 0 in ascending order.
-5, -4, -1, 0, 3, 23
Sort 6, -0.4, 4, 4913.
-0.4, 4, 6, 4913
Sort 0.7, 0, -1, -2.5 in descending order.
0.7, 0, -1, -2.5
Sort -5, -14, -2419 in decreasing order.
-5, -14, -2419
Sort -0.02, -3, -26, -0.6, 4, 7 in decreasing order.
7, 4, -0.02, -0.6, -3, -26
Sort -2, -1693, -60, -5.
-1693, -60, -5, -2
Put -2, -29, -4, 1, 0 in increasing order.
-29, -4, -2, 0, 1
Sort -80, 5, -5, -3 in descending order.
5, -3, -5, -80
Sort -101, -0.2, 22, 5, 3 in decreasing order.
22, 5, 3, -0.2, -101
Put 1, 787, 3, -153, 4 in decreasing order.
787, 4, 3, 1, -153
Sort 6, 0.3, 59, -3/91, -0.5, 3/5.
-0.5, -3/91, 0.3, 3/5, 6, 59
Put -2, -80, -0.165, -0.3 in descending order.
-0.165, -0.3, -2, -80
Sort 4, -3, 3924, -5, 1.
-5, -3, 1, 4, 3924
Put -1/3, 5, -0.2, 0.2, 2, -151 in decreasing order.
5, 2, 0.2, -0.2, -1/3, -151
Sort -2, 2, 15, 1, 17.
-2, 1, 2, 15, 17
Put 2, 4, 14, -6 in decreasing order.
14, 4, 2, -6
Put -5, -72, -0.9, -2/23, 0, 4 in decreasing order.
4, 0, -2/23, -0.9, -5, -72
Put -29, 3, -1, -7, 40, -21 in descending order.
40, 3, -1, -7, -21, -29
Sort -4, 9/133, 11.5 in ascending order.
-4, 9/133, 11.5
Put -51.4, 523, -1/4 in descending order.
523, -1/4, -51.4
Sort -4, 131, -15, -2.
-15, -4, -2, 131
Sort -956, -3, 5, 3, 4, 7 in increasing order.
-956, -3, 3, 4, 5, 7
Put -1015, 2, -0.07, 2/27 in descending order.
2, 2/27, -0.07, -1015
Sort 0.4, -0.1136, -0.14 in ascending order.
-0.14, -0.1136, 0.4
Sort -1, 3/13, -1.41, 2/9 in increasing order.
-1.41, -1, 2/9, 3/13
Put 2.3, 162/29, -2/5 in decreasing order.
162/29, 2.3, -2/5
Put -5, 0, 2, 93 in descending order.
93, 2, 0, -5
Sort -0.01, -102/145, 4 in descending order.
4, -0.01, -102/145
Sort 1, -11.4, -44 in descending order.
1, -11.4, -44
Put 0, -38, -5 in increasing order.
-38, -5, 0
Put 1/9, -12, -2/17, -0.0077 in descending order.
1/9, -0.0077, -2/17, -12
Sort 3035, -0.5, 4 in increasing order.
-0.5, 4, 3035
Sort 5, -2/3, -5, -223, 2/87, -0.5 in decreasing order.
5, 2/87, -0.5, -2/3, -5, -223
Put -5, 34, -3, -34, -4 in decreasing order.
34, -3, -4, -5, -34
Sort -5, -276, 2, -1, -2, 55 in decreasing order.
55, 2, -1, -2, -5, -276
Sort 83, -11, 0.2, 0.36, -2, 2 in increasing order.
-11, -2, 0.2, 0.36, 2, 83
Sort 3/26, 0.5, 2/5, 6, 3/8, 0.0272 in decreasing order.
6, 0.5, 2/5, 3/8, 3/26, 0.0272
Sort 31, 2, 186.
2, 31, 186
Sort 24, -1266, 21 in decreasing order.
24, 21, -1266
Sort -3.8, 3/58, -0.8 in descending order.
3/58, -0.8, -3.8
Sort 1, 113/3, 4, 0 in descending order.
113/3, 4, 1, 0
Sort 5, 29, -491 in descending order.
29, 5, -491
Sort 0.2, 3/22, -6, 4 in descending order.
4, 0.2, 3/22, -6
Sort -77, 39, 3, -113.
-113, -77, 3, 39
Put 0, -4, 34, -10, -1 in descending order.
34, 0, -1, -4, -10
Put 1, 4, 2, 42, -11, -1 in decreasing order.
42, 4, 2, 1, -1, -11
Sort 1, -0.1, 168280, -1/6, 0.1 in increasing order.
-1/6, -0.1, 0.1, 1, 168280
Put 4, -107, 3/107 in increasing order.
-107, 3/107, 4
Sort 0.4, 3/2, 0.2, -0.2, 0.4754.
-0.2, 0.2, 0.4, 0.4754, 3/2
Sort -13, 4, 64, 6 in increasing order.
-13, 4, 6, 64
Sort 2, -1, 23, 48, 4, -102 in decreasing order.
48, 23, 4, 2, -1, -102
Put 34, 97, 3, 0 in ascending order.
0, 3, 34, 97
Put 1, -56, -5, -154, 5 in increasing order.
-154, -56, -5, 1, 5
Sort -174, -42, -0.5, -5 in decreasing order.
-0.5, -5, -42, -174
Sort -1, -2, 30566, -6 in increasing order.
-6, -2, -1, 30566
Sort -5, -1/8, -25/6, 5, -4/3, -6 in descending order.
5, -1/8, -4/3, -25/6, -5, -6
Sort 2/3, -4, 58 in ascending order.
-4, 2/3, 58
Sort -207, -253, 4.
-253, -207, 4
Sort -192, -3, 3191 in decreasing order.
3191, -3, -192
Put 2, 6/19, 7 in decreasing order.
7, 2, 6/19
Sort -2, 0, -20, 158 in descending order.
158, 0, -2, -20
Sort 33, -11, 0, 2/21 in increasing order.
-11, 0, 2/21, 33
Sort 1/151, -1/4, 0.02, 1, -16/3 in descending order.
1, 0.02, 1/151, -1/4, -16/3
Sort 0, -5, 29, 1, 9, 5 in increasing order.
-5, 0, 1, 5, 9, 29
Put 11656, 11, -3 in decreasing order.
11656, 11, -3
Sort 2/35, 2/9, -1/7, 0.03, 5, 461.
-1/7, 0.03, 2/35, 2/9, 5, 461
Sort 4, -16, -5, 1, 5.
-16, -5, 1, 4, 5
Sort -23, 2, 4, 0.
-23, 0, 2, 4
Sort -1, -770/9, 165 in decreasing order.
165, -1, -770/9
Sort 2, -52, 3, 0, 6 in increasing order.
-52, 0, 2, 3, 6
Put -76, -1, 3, 0, -3/220, -1/4 in decreasing order.
3, 0, -3/220, -1/4, -1, -76
Put 5, 4, 20, 26 in ascending order.
4, 5, 20, 26
Put -3, -5, -10615 in increasing order.
-10615, -5, -3
Sort 1, -2/13, -457, 26 in descending order.
26, 1, -2/13, -457
Put 1241, 3, 4, 1/5, -1/6, -4 in decreasing order.
1241, 4, 3, 1/5, -1/6, -4
Sort -4.96, -2, 11, 0, -0.5 in decreasing order.
11, 0, -0.5, -2, -4.96
Sort -5, 225, 1027 in d | {
"pile_set_name": "DM Mathematics"
} |
*h - 4*b, 2*h = 3*b + 307. What is the hundreds digit of h?
1
Let m be (-18)/(-15)*5/2. Suppose -v = 4*v - 15. Let r = v + m. What is the units digit of r?
6
Let u = -25 - -45. What is the units digit of u/(-10) + 1 + 27?
6
Suppose -29 = 4*a - 129. Let g = a + -16. Let h(o) = -o + 10. What is the units digit of h(g)?
1
Let y(b) = -8*b + 1. Let l(v) = v - 1. Let p(j) = 5*l(j) + y(j). Let a be p(-3). Suppose 4*i = -a*x + 51 + 4, -2*x + 5*i = -22. What is the units digit of x?
1
Let a = 221 + -129. Suppose 0 = -5*f + f + a. What is the units digit of f?
3
Suppose 24 = -8*w + 128. What is the units digit of w?
3
What is the tens digit of (-18 - 0)/(12/(-450)*5)?
3
Let f(d) = d**2 - 3*d - 2. Let m(g) = g**2 + g - 2. Let n be m(2). Suppose 0*s + s = -n*v + 13, 5*v - 17 = -s. What is the units digit of f(v)?
2
Let r be (-5)/(-25) - (-24)/5. Let z(v) = v**3 - 4*v**2 - 6*v + 7. Let m be z(r). Suppose 4*o - 3*l = 48, -5*l = m*o - 3*o + 29. What is the units digit of o?
9
Suppose -4*q - 10 = 2, -5*x + 5*q = -55. What is the units digit of x?
8
Suppose 12*s - 1305 = 771. What is the tens digit of s?
7
Let d be 2/(-5) + 13/(-5). Let b(q) be the second derivative of q**5/20 + q**4/3 + q**3/3 - 2*q. What is the units digit of b(d)?
3
Suppose 5*h - 39 = 41. What is the units digit of h?
6
Let u = 8 - 4. Suppose 3*r = -u*n + 28, 1 = 4*n - 3. What is the units digit of r?
8
Suppose -3*n + 31 = -5*v, -2*v + 3 = 2*n + 9. Suppose -5*x + 44 = -3*w, -n*w - 32 = -5*x + 4. Let z(u) = u + 9. What is the units digit of z(w)?
1
Let d = 126 + -83. What is the tens digit of d?
4
Suppose 3*z - 1 = 2*z. Let b = 10 + -6. Suppose 4*m - z = -3*k - 6, -b*k = -5*m - 14. What is the units digit of k?
1
Suppose 0 = 4*l, 4*q - 2*l + 2 - 22 = 0. Let r = q - 0. Suppose -r*g = -29 + 9. What is the units digit of g?
4
Let w(f) = f**3 + 5*f**2 + 7*f + 6. Let m be w(-4). Let s = 6 + m. Suppose s = x - 5*i + 17, -6*x = -x + 3*i - 27. What is the units digit of x?
3
Let v(y) = -2*y**3 + 2*y**2 - 2*y - 4. Let h(s) = s**3. Let x(i) = 3*h(i) + v(i). Let f be x(-3). Let q(a) = -a**2 - 9*a + 5. What is the units digit of q(f)?
9
Let f be (6 - -5)/((-2)/8). Let h = -17 - f. What is the tens digit of h?
2
Let n = 106 - 19. What is the units digit of n?
7
Let c = 12 + -11. What is the units digit of 18*2/4 - c?
8
Let h(l) = l**2 + 4. Let a be h(0). Suppose 8 - a = -4*d. Let m(b) = -5*b + 1. What is the units digit of m(d)?
6
Let s(c) = -c**2 - 5*c + 5. Let n be s(-7). What is the units digit of (-3)/2*12/n?
2
Suppose -5*f - 157 = -5*q + 298, 443 = 5*q + f. What is the tens digit of q?
8
Suppose 2*n - 7 = g, -4*g - 15 = -5*n - g. What is the units digit of n?
6
Suppose 0 = -3*g + 4*m + 3, 2*g - 3*m - 2 = -1. Suppose -2*a - 6 = g*i - 1, -3*i = 15. What is the units digit of a?
0
Let n(m) = m**3 + 3*m**2 - 2*m - 3. Let b be n(-3). Suppose -b = f + a, 4*f - 6*f + 2 = -2*a. What is the units digit of (f - -17) + (5 - 8)?
3
Let u = 5 + -5. Suppose u*z = -z + 7. What is the units digit of z?
7
Let u(i) = i + 5. Let r be u(-4). Suppose o + 4*d - 2 = 0, o - d - r = 1. What is the units digit of o?
2
Let z be (-8)/6*15/(-10). Suppose -50 = -4*v - z. What is the units digit of v?
2
Suppose b - 26 = -5. What is the tens digit of b?
2
Let k = 4 - 10. Let j(v) = 9*v - 2 - 10*v - 3. What is the units digit of j(k)?
1
Let v = -3 + -11. Let n = -10 - v. What is the units digit of n?
4
Let i = -19 + 5. Let q be (-2)/(-3) + i/(-6). Suppose -15 = -2*v + q. What is the units digit of v?
9
Let o = -304 + 602. What is the hundreds digit of o?
2
Suppose -g + 3*r = -2*g + 31, g - 2*r - 46 = 0. What is the units digit of g?
0
Let q = -27 + 91. What is the units digit of q?
4
Suppose 2*t + 0*x = x, 8 = 2*x. Let s = t - 1. Suppose s + 1 = h. What is the units digit of h?
2
Let d = 94 + -47. Let b = d - 26. What is the units digit of b?
1
Let i = -77 + 170. Suppose -4*m + i = -m. What is the units digit of m?
1
Suppose f - 5*f + 3*n + 49 = 0, f = 4*n + 9. Let t = -2 + f. What is the tens digit of t?
1
What is the units digit of (-1664)/(-44) + 2/11?
8
Suppose -44 = -4*n + 2*x, 5*n = n + 3*x + 46. Suppose -24 = 4*a + 5*w, 3*w - w = -2*a - n. What is the units digit of -5*(-2)/(a + 3)?
5
Let y = 138 + -18. What is the units digit of y?
0
Let l(i) = -i**3 + 15*i**2 - 10*i + 2. What is the units digit of l(7)?
4
Let z(s) be the first derivative of s**4/8 - 7*s**3/6 - s**2/2 - 2. Let q(o) be the second derivative of z(o). What is the units digit of q(5)?
8
What is the units digit of (-5)/15 + 64/3?
1
Let g(o) = -13*o + 1. Let u = 1 + 3. Suppose -u*q = 3 + 1. What is the units digit of g(q)?
4
Let b(j) = j**2 - 7*j + 6. Suppose 5*g - 4*a = -3 + 7, -3*a = 3*g - 24. Let r be b(g). Let x = 8 + r. What is the units digit of x?
2
Let r(k) = k**3 + k**2 + k - 3. What is the tens digit of r(2)?
1
Suppose 3*m = b - 88, -3*b = -5*m - 18 - 230. What is the tens digit of b?
7
Let o(a) be the third derivative of -a**6/120 + 11*a**5/60 + a**4/2 + a**3/3 + 2*a**2. What is the units digit of o(12)?
2
Let k(t) = t**2 + 8*t + 4. Let y be k(-7). Let j = y - -4. Suppose -4*w = o - 15, 2*w - j = o + 2. What is the units digit of o?
3
Suppose -4*u + 52 = 3*c + 3, 0 = -3*u + c + 27. Let z = u + -5. What is the units digit of z?
5
Let p = -33 - -85. What is the units digit of p?
2
Let o = 1 - -3. Suppose 0*c - c - 2*q + 15 = 0, 68 = 4*c + o*q. What is the units digit of c?
9
Let o be (3/2)/(6/12). What is the tens digit of -25*(-1 - (3 - o))?
2
Let m = -85 - -161. What is the tens digit of m?
7
Let p be (-7 - -2)/(3/(-36)). Let h = p - 43. Let z = h + -10. What is the units digit of z?
7
Let l = -10 - -13. Suppose -5*c = 5*t - 40, t - l*c = 6*t - 40. What is the units digit of t?
8
Suppose u - b - 7 = -3*u, -2*u + 8 = -2*b. Suppose -2 = -t + u. Let l = -2 + t. What is the units digit of l?
1
Suppose 0*z + 4*i + 20 = 4*z, -2*i = 0. Suppose 2*b = -z*h + 57, -2*h = -3*b + b - 34. What is the units digit of h?
3
Let m(u) = -u**2 - 10*u - 7. Let c be m(-7). Suppose -3*k = -z - 4 - 15, 3*k - c = -4*z. What is the units digit of k?
6
What is the tens digit of ((-8)/6)/((-3)/189)?
8
Let i(w) = w**3 - 9*w**2 + 10*w + 4. Let g be i(8). Suppose 3*p + 5 = u, u + g = 5*u. Suppose p*d - 3*d = -63. What is the tens digit of d?
2
Let j(x) = -x**2 - 11*x + 15. Let f be j(-12). Suppose -f*y = -0*y - 90. What is the tens digit of y?
3
Let s = 177 - -44. What is the units digit of s?
1
Let k = 16 + -11. Suppose -i - 8 = -k*i. What is the units digit of i?
2
Suppose -5*c = -2 - 13. Let i(h) = -h**2 + 2*h. Let o be i(c). What is the units digit of 0 + (-1 - (-1 + o))?
3
Let x(g) be the first derivative of -g**4/4 - 4*g**3/3 + 2*g**2 - 2*g + 1. Let v = 17 - 22. What is the units digit of x(v)?
3
Let q be (3 - 0)*80/24. Let a(s) = -s**3 + 9*s**2 + 14*s + 1. What is the units digit of a(q)?
1
Suppose -5*p + q + 402 = -0*q, 4*p - 327 = -q. What is the units digit of p?
1
Let h(f) = f**2 - 6*f + 3. Let n be h(6). Suppose -4 - 26 = -n*k. What is the tens digit of k?
1
Suppose 4*t - 106 = 54. Suppose 6 = -i + t. What is the tens digit of i?
3
Let u be 2/(-3) + 143/3. Suppose 3*x - u = -17. What is the tens digit of x?
1
Let t(q) = q**3 - 5*q**2 + 6*q - 5. Let c be t(4). Suppose -c*a + 1 + 2 = 0. What is the units digit of a?
1
Let r = -5 - -11. Let m be ((-25)/(-3))/((-1)/r). What is the units digit of (-6)/(-9) + m/(-6)?
9
Suppose 30 = -3*c + 117. What is the tens digit of c?
2
Let k(l) = -2*l + 11. Let j(i) = -3*i + 21. Let y(r) = -4*j(r) + 7*k(r). Suppose -5*c - 30 = a + 3*a, -a = 4*c + 13. What is the units digit of y(a)?
3
Let w = -13 - -43. What is the tens digit of w?
3
Let p = -8 + 10. Suppose i = 4*q - 116, p*q + 7*i - 3*i = 40. What is the tens digit of q?
2
What is the tens digit of (15 - -1)*(-49)/(-28)?
2
Suppose -24 = 22*u - 26*u. What is the units digit of u?
6
Let w(r) = r**3 - 5*r**2 + 2*r - 6. Suppose 0*y + 2*y = 10. What is the units digit of w(y)?
4
Let u(h) = 36*h - 4. Let f(b) = -b - 1. Let n(d) = 2*f(d) - u(d). What is the units digit of n(-1)?
0
Let y(m) = -m**3 + 4*m**2 - 1. What is the units digit of y(3)?
8
Let g(k) = 3*k**2 + 3*k + 4. What is the units digit of g(-3)?
2
What is the units digit of (35/21)/((-2)/(-6))?
5
Suppose -3*q + 13 = -2*q + 2*l, | {
"pile_set_name": "DM Mathematics"
} |
is the nearest to 1 in -2/3, t, 5?
t
Let q = -10 + 10.3. What is the closest to -2/7 in 0, 0.2, q?
0
Let i = 33 - 34. Which is the closest to 2? (a) -4 (b) -1/3 (c) i
b
Let z = -0.32 + -3.08. Let v = z - -3. Let w = v + 0.2. Which is the nearest to -0.1? (a) 3/5 (b) w (c) -0.5
b
Let g = 57 - 56. Which is the closest to -1/2? (a) -3 (b) 1/2 (c) g
b
Let y = 5 + -6. Let r be 0/3 + y/(-5). Let w = 73/9 + -25/3. Which is the nearest to 2/5? (a) w (b) 5 (c) r
c
Let f = -0.2 - 0.3. Let d = 0.5 - f. Which is the nearest to d? (a) -3 (b) 1 (c) 0.5
b
Let g = -28.1 + 28. Which is the closest to g? (a) -2/5 (b) -3 (c) 1/4
a
Let w = 8/3 + -13/6. Let q = -30 - -30.1. What is the nearest to 1 in q, w, 0.2?
w
Let p = -19.9 - -2.9. Let i = -17 - p. Let s = -2 + 2.5. What is the nearest to i in 3, s, 0?
0
Let z = 2.3 - 2.3. Let s = -0.06 + -4.94. Which is the closest to 2/3? (a) z (b) s (c) -0.1
a
Let s = -3 + 2.5. What is the closest to -1 in 2/11, -3, s?
s
Let i = 0.38 - 0.08. Let x = 8 + -5. Which is the closest to x? (a) i (b) -2/7 (c) -1/3
a
Let l = -21 + 21.5. What is the closest to -0.2 in 0.3, l, 1?
0.3
Let j = 17.5 + -18. What is the closest to -1 in 5, 10, j?
j
Suppose 10 = -5*l - 15. Let n be l*((-294)/(-75) + -4). Let f = 0.2 + -1.2. What is the nearest to f in n, 0, 0.1?
0
Let w be -2 - (-97)/11*23. Let z = w + -201. Let l = 0.1 + -1.1. What is the closest to l in 0.1, -1, z?
-1
Let q(w) = w - 8. Let t be q(7). Let c be t*0*(-2)/4. What is the nearest to 0.3 in -1, c, 1/6?
1/6
Let m = 6 - 7. Which is the nearest to -1? (a) -3 (b) 4 (c) m
c
Let q = -47 + 42. Which is the nearest to 2? (a) -2 (b) 2 (c) q
b
Let v = -12 - -8. Let j = -2 - -4. Suppose -l - q = 2 + j, 4*q + 16 = 0. Which is the closest to 2/7? (a) v (b) -5 (c) l
c
Suppose 5*b - o - 6 = 0, -o = -3*b - 2*o + 10. Suppose 5*j - 7 = -b. What is the closest to 0.2 in 5, -5, j?
j
Let t = -5.6 + 6. Let k = -2 - -5/2. Which is the closest to 0.2? (a) -0.2 (b) k (c) t
c
Let s = -16 - -15.9. Let o = -47/18 + 28/9. Which is the closest to o? (a) s (b) 1/5 (c) -3
b
Let x = 1.5 + -2. Let y be 20/(-90) - (-58)/18. Suppose -5 = -y*j + 1. Which is the nearest to -1? (a) x (b) -1/6 (c) j
a
Let h = -77 - -72. Let t = 0.3 - 0.1. Which is the closest to t? (a) -4 (b) 4 (c) h
b
Suppose n - 58 = -0*n. Let f = 26774/7 + -3767. Let v = f - n. What is the nearest to -0.1 in v, 3/5, -2/3?
v
Let p = -0.12 + 0.52. Let o = -193/3 - -65. Which is the closest to 1? (a) o (b) -0.3 (c) p
a
Let q = -0.036 - -3.996. Let p = 0.04 + q. Let g = 0.01 + 0.99. Which is the nearest to 2? (a) -2/7 (b) p (c) g
c
Let q = -2.05 - -0.05. Let k = -2.1 - q. Let v = -3.5 + 3. What is the nearest to k in 2/9, v, 3?
2/9
Let n = 48 - 48.5. Which is the closest to 1? (a) n (b) -3 (c) -63
a
Suppose -q - 5*o - 14 = 1, 0 = 4*o + 4. Let l be (-2)/(-1) - q/(-8). Which is the closest to 0? (a) 4 (b) l (c) 0
c
Let x = -14 - -14.35. Let k = -0.05 + x. Which is the closest to -2? (a) k (b) 3 (c) -5
a
Let d = -2/195 - 581/390. Which is the closest to -1? (a) d (b) -5 (c) -8
a
Suppose -4*l = -6*l + 56. Let x = l + -86/3. What is the nearest to x in 2, 0.1, 0.3?
0.1
Let f = 0.06 + 3.94. Let r = 4 - f. Which is the nearest to 0.1? (a) -4 (b) 3 (c) r
c
Let n = 140 + -1258/9. Let t = -1.37 + -0.63. Which is the nearest to t? (a) -3 (b) n (c) 3
a
Let g = 0.2 - 0.2. Let t = -4/3 + 2/3. Which is the nearest to g? (a) 5 (b) 0.1 (c) t
b
Suppose -3*s = -s, 0 = -t + s - 2. Let k = -0.5 + 1.5. What is the nearest to -1 in k, t, -4?
t
Let i = -636/77 - -54/7. Which is the closest to 0? (a) 3 (b) -3/5 (c) i
c
Let m = -21/8 + 105/8. Let t = 61/6 - m. What is the closest to -1 in 3, t, -0.3?
t
Let d be (-2)/3*1/(-2). What is the nearest to 1/4 in d, -1, -5?
d
Let n = 17.06 + -0.06. Let w = n - 18. What is the closest to w in 2/13, -1, 0.1?
-1
Suppose -2*d = -3 + 11. Let g be d*(3 - 57/18). Let p = -100 - -704/7. Which is the closest to -2/7? (a) p (b) g (c) 4
a
Let z be (-1 + 34/30)*(-110)/11. Let t = -8 + 23. Let w = 10 - t. What is the nearest to 0 in 1/3, w, z?
1/3
Let d = -11/2 + 61/14. Let b = d - -25/28. Let k = 95/28 - 22/7. What is the closest to -1/3 in k, 4, b?
b
Let h = -85 + 339/4. What is the nearest to h in -3, 1, -2?
1
Let a = -27.2 + 27. What is the closest to 4 in a, 0.4, 1?
1
Let y = 20 - 21. Which is the closest to 0.1? (a) -5 (b) 1/8 (c) y
b
Let i = -1.4 - -0.6. Let c = 1.3 + i. What is the closest to 0.1 in -1, c, 3/2?
c
Let j = -1.462 - 0.038. Which is the nearest to 0.1? (a) 0.3 (b) j (c) 1
a
Let b = 2 + -8. Let l = b + 5.9. Let k = 102 - 513/5. What is the closest to 0.2 in -1, l, k?
l
Let m(d) = -d**2 - 5*d + 19. Let x be m(3). What is the closest to -2/13 in x, 0.3, -3?
0.3
Let o be (1/4)/((-2)/(-12)). Let j(i) = -i**3 - 6*i**2 - 7*i - 6. Let t be j(-5). Suppose -4 = t*s - 0. Which is the nearest to s? (a) 0.3 (b) o (c) -0.1
c
Let v be ((-2)/(-6))/(4/(-4 - 0)). Which is the closest to v? (a) 1 (b) 0.5 (c) -6
b
Let p(v) = 22*v + 0 - 24*v + 3. Let k be p(2). What is the closest to k in 2/7, -4, -1/11?
-1/11
Let d = -0.28 - -0.08. Which is the nearest to -0.1? (a) d (b) 3 (c) -4
a
Let v be 30/(-40) + (-1)/(-2). Which is the closest to v? (a) -1/4 (b) 6 (c) -2
a
Let d = -253/2 + 126. What is the nearest to -13 in d, 5, -1/3?
d
Let a = -2 + 2. Suppose -13 = 3*t + 2. Let j = 2.04 - 0.04. What is the nearest to -2/3 in j, a, t?
a
Let c = 0.02 - -2.98. Let q be 1*0*(3/6 + -1). What is the closest to q in 1, c, -2?
1
Let j = 34 + -14. Suppose -2*h + 3*h = j. Let o be 2/4 - 2/h. What is the closest to o in -1, 0.2, -2/11?
0.2
Let m(c) = c**2 - 2. Let z be m(-2). Suppose -3*t - 5 = -z*t. Let u = -1/66 + 35/132. What is the closest to u in t, 1, 3?
1
Let j = 81 - 79. What is the closest to 1/3 in 0, -1, j?
0
Let u = -213 - -2345/11. What is the nearest to u in -4, 5, 2/3?
2/3
Suppose 0 = 5*v + 10, -v - 5 = b + v. Let o = 2 + b. What is the closest to -0.01 in -2/5, 0.4, o?
-2/5
Let c = 51 + -58.3. Let i = 13.2 + c. Let d = 6 - i. What is the closest to d in 4, -0.4, -4?
-0.4
Let g(q) = -4*q - 20. Let r be g(-5). Which is the nearest to 1? (a) r (b) -0.5 (c) 4
a
Let h = -49 - -48.98. What is the closest to 0 in -1/3, 0, h?
0
Let o be (5/3)/(1/6). Let k be ((-6)/15)/(1/o). Let a be (1/(-4))/((-9)/8). What is the closest to -1 in k, a, -1/9?
-1/9
Let j(m) = -m - 6. Let z be j(-9). Let h = 1 - -4. Let n = 0.02 - 0.02. What is the closest to n in -2/15, h, z?
-2/15
Let i = 1.6 - 0.6. Let k = 3.8 - -1.2. Which is the nearest to i? (a) -0.4 (b) 2/5 (c) k
b
Suppose -13 = -d - 0*d. Suppose 0 = l + d - 10. What is the nearest to 1/2 in 2/5, 0.5, l?
0.5
Let f = 5 - 5.2. What is the nearest to 2 in 0, f, 1/2?
1/2
Let m = -0.2 + -0.3. Suppose -7 = 3*d + d - 3*y, -d = 5*y - 27. Let c be d*(1/2 - 0). What is the nearest to c in 0.5, -2/9, m?
0.5
Let w = 5 - 5. Let c = 0.5 + w. Let z(m) = m**3 + 6*m**2 + 5*m + 1. Let i be z(-5). What is the nearest to i in 2/9, c, 4?
c
Suppose 0 = 4*v + 225 + 111. Let x be 104/v - 12/(-21). Let a = 1 - -2. What is the nearest to x in 0.1, 4, a?
0.1
Let j = 0.15 - 6.15. Let m = j - -4. Let r = 2 + m. What is the nearest to -2/7 in -0.5, r, 3/8?
-0.5
Let c = -5.86 + -0.14. Let t = 8 + c. Let v = t + -4. What is the closest to -0.1 in 3/4, -3, v?
3/4
Let g = -16.1 - -16. Which is the nearest to 1? (a) -2 (b) g (c) -0.6
b
Let s = -0.17 + -3.83. Which is the closest to 1? (a) -0.5 (b) s (c) 0.1
c
Let m be ((-6)/4)/(1 + 2). Let y be 1 + -3 + 2 + 1. Let j = 37 + -42. Which is the nearest to m? (a) -3 (b) y (c) j
b
Let v = -0.1 - -0.11. Let w = v + -0.01. Let o = -0.5 - w. Which is the closest to 1? (a) 0.4 (b) -4 (c) o
a
Let m = 136/3 + -45. Which is the closest to -4? (a) 4 (b) m (c) -2
c
Let x be 12 + (1 - 4) + 3. Suppose -2*k = 3*m - x, 3*k - 2*m - 1 = 2*m. What is the closest to 0 in 1, -1/8, k?
-1/8
Let t = -1.2 - -1.2. Let h = 12 + -17. Which is the closest to 1? (a) h (b) 0.5 (c) t
b
Let p = 97 - 96.7. Suppose -4*m + 4 = -0*m. Let o be (m - 0) + (-6)/9. Which is the closest to o? (a) -1 (b) p (c) -0.3
b
Let c be (-24)/36*1/(-2). What is the closest to -1 in 0.4, -2, c?
-2
Let j = -0.36 + -0.04. Let q = -3.46 + | {
"pile_set_name": "DM Mathematics"
} |
*2 + 1. Let s be c(k). Let r be o(s). Round r to the nearest ten thousand.
140000
Let c = -9238085.30000015 + 9238085. Let l = c + 0.3. What is l rounded to 7 decimal places?
-0.0000002
Let f = 278319013.341 - -96485.659. Let t = f - 278415500.19999973. Let c = t + 1.2. What is c rounded to 7 dps?
0.0000003
Let u = -24 - 6. Let i be 176/(-6)*u/(-4). Round i to the nearest 10.
-220
Let a(f) = -f**2 + 5*f - 3. Let p be a(2). Let u be ((-400)/p)/((-2)/(-6)). Round u to the nearest one hundred.
-400
Let b = 51620 + 52380. What is b rounded to the nearest ten thousand?
100000
Let x = 14.99999984 + -15. What is x rounded to 7 dps?
-0.0000002
Let f = 6.6 + -7. Let p = 0.2 - f. Let y = p + -0.60000025. What is y rounded to seven dps?
-0.0000003
Let m = -4733856214.0672510646 - 0.9327489354. Let k = m - -4733856255.00000039. Let p = -40 + k. What is p rounded to seven decimal places?
0.0000004
Let f = -6 + 6.08. Let u = -113 - -113.084. Let i = f - u. Round i to three decimal places.
-0.004
Let b(y) = 455*y**3 - 3*y + 4. Let h be b(-3). Let z = h + 5072. Round z to the nearest 1000.
-7000
Let g = -134 + 320. Round g to the nearest 10.
190
Let g(u) = 75556*u**2 - 4. Suppose -1 = -3*k + 8. Let y be g(k). Round y to the nearest one hundred thousand.
700000
Let o(v) = v**2 - 5*v - 4. Suppose -4*j = -p - 6 - 4, 0 = p - 5*j + 14. Let q be o(p). Let g(s) = -5800*s. Let u be g(q). Round u to the nearest one thousand.
-12000
Let n = -143 + 110. Round n to the nearest ten.
-30
Let u(q) = -262504*q**2 - 2*q + 2. Let k be u(-2). Let l be k/35 + 4/14. What is l rounded to the nearest ten thousand?
-30000
Suppose v - w + 3*w = -11, -5*w + 40 = -5*v. Let a = -5 - v. Suppose -a*l + 8*l = 324. Round l to the nearest ten.
80
Let m = -18028.79061 - -18107.205. Let a = m + -75.6143995. Let g = 2.8 - a. Round g to six decimal places.
0.00001
Let j = 0.01 - 3.01. Let n = 0 - j. Let u = 3.00000008 - n. What is u rounded to seven dps?
0.0000001
Let l(s) = s**2 + 6*s - 6. Let v be l(-7). Let k be 100*94*v*-5. What is k rounded to the nearest 10000?
-50000
Let r = -3.201 - -3.03. Round r to two dps.
-0.17
Let c = -44.462 - -0.262. Let q = c + 41. Round q to the nearest integer.
-3
Let j = -31 + 31.515. Round j to two decimal places.
0.52
Let l(r) be the second derivative of 1/2*r**3 + 3*r**2 - 2*r + 0 - 1/3*r**4. Let t be l(6). What is t rounded to the nearest 100?
-100
Let w = -393559507286.699855 - -393560365584. Let x = w - 858304. Let n = x - -6.7. What is n rounded to 5 decimal places?
0.00015
Let v = 3.97 - 4. Let m = -54 + 56.57. Let h = m - v. What is h rounded to the nearest integer?
3
Let b = 266 + -153. Let v = b + -112.999897. What is v rounded to five dps?
0.0001
Let x = 0.63143 + -0.63. Round x to 4 decimal places.
0.0014
Let g = -8.8 + -0.2. Let p = g - 18. Let d = p + 26.12. Round d to 1 decimal place.
-0.9
Let p = 0.9 + -0.46. Round p to one dp.
0.4
Let y = 0.266399036 + -1.366398806. Let l = y + 1.1. Round l to 7 decimal places.
0.0000002
Let x = -83 - -82.852. Let j = x + 0.1539. Round j to three decimal places.
0.006
Let a = -15 + 11. Let n = -3.8 - a. Let p = n - 0.20000125. What is p rounded to 7 dps?
-0.0000013
Let z = -29.9 + 31.23. What is z rounded to 1 dp?
1.3
Let s = -93 + 18.6. Let w = s + 55. Round w to the nearest integer.
-19
Let l be 24/(-9)*(-6)/4. Let k be (-4)/3*330/l. Let y = 0 - k. What is y rounded to the nearest 100?
100
Let c be ((-9)/3 - 6) + 0. Let v = c - -8. Let h(m) = -720000*m**2. Let i be h(v). Round i to the nearest 100000.
-700000
Let a = -1.3 + 1.30000011. What is a rounded to seven decimal places?
0.0000001
Suppose 0 = 2*v - 3*c - 4, -4*v = 2*c - 18 - 22. Let l be (-4)/v - (-36800002)/4. What is l rounded to the nearest one million?
9000000
Suppose 2*v - 11304 = r, 5*v + 11290 = -0*r - r. What is r rounded to the nearest 1000?
-11000
Suppose 3*i + 3*f + f - 3839984 = 0, -2*i = -3*f - 2560012. What is i rounded to the nearest 100000?
1300000
Let h = -4 - -7. Let y be 7208/(-12) + 2/h. Let o be 0 - 0 - y/1. What is o rounded to the nearest one hundred?
600
Let x = 51 + -33.9. Round x to 0 dps.
17
Let p(x) = x**3 - 4*x**2 - x + 2. Let d be p(4). Let m be -376*((-63)/(-6) - d). Round m to the nearest one thousand.
-5000
Let b be 9/3*(-1)/(-1). Suppose 3*p - 771 = b*a, -p - 17 = 3*a + 766. Round a to the nearest one hundred.
-300
Let f = -55 + 61.8. Let c = f - 6.799855. What is c rounded to five decimal places?
0.00015
Let m = -650.976 + 672.6. Let p = m + -21. Let s = -0.7 + p. Round s to two dps.
-0.08
Let o be (2 - 1 - 0)*3. Let c be 2500*-9*64/o. Round c to the nearest 100000.
-500000
Let d(m) = 77*m + 13. Let v be d(11). What is v rounded to the nearest one hundred?
900
Let b = -21.47797204 - -35.47797203. Let s = 14 - b. What is s rounded to seven decimal places?
0
Let j(w) = 3193*w**3 + 2*w**2 - 12*w + 7. Let p be j(11). Round p to the nearest one hundred thousand.
4300000
Let i be -2 + 0/(-2) + 272. What is i rounded to the nearest 100?
300
Let y = 0.3946 + -0.39. Round y to three dps.
0.005
Let y = 138 - 139.14. Round y to one dp.
-1.1
Let c = -23828068.0000005 - -23828057. Let q = -11 - c. Round q to six dps.
0.000001
Let f = -2655.87 - -2668. Let q = -11.5 + f. What is q rounded to 1 decimal place?
0.6
Let y = 0.2599404 + -0.26. Round y to five decimal places.
-0.00006
Suppose 16200000 = q + 5*q. What is q rounded to the nearest one million?
3000000
Let p be (-3)/(-1)*1294942 - 1. Let a = 215175 + p. What is a rounded to the nearest 1000000?
4000000
Let h = 137 + -136.692. What is h rounded to two dps?
0.31
Let y(u) be the first derivative of 999998*u**3/3 + 2*u**2 + 2. Let c be y(2). Round c to the nearest one million.
4000000
Let s = -16 - -9. Let d = s + 7.2. Let t = -0.20005 + d. What is t rounded to 5 dps?
-0.00005
Suppose 2*g - g = 2. Let w be (-20748 - g)*(-6 - 2). What is w rounded to the nearest 10000?
170000
Let u(x) be the second derivative of 8101*x**5/20 - x**4/6 + x**2/2 - x. Let l be (-1 - 1)*2/(-4). Let q be u(l). What is q rounded to the nearest 1000?
8000
Let j = 0.106 + -0.105812. What is j rounded to 5 decimal places?
0.00019
Let g = -5260.7 - -5261.32057. Let z = g + -0.62. What is z rounded to four dps?
0.0006
Let f = 14.91941297 + 0.08055903. Let w = -1 + -14. Let y = f + w. Round y to five dps.
-0.00003
Let f = -22 - -21.977. Round f to 2 dps.
-0.02
Let q = -6.13 - -0.13. Let u = -1045 - -1051.008. Let r = q + u. What is r rounded to three decimal places?
0.008
Let b = 0.16 - 2.66. Let u = b - 0.1. Round u to zero decimal places.
-3
Suppose 3*u = -3, 78213 = -b + 5*u - 144208. Let m = -852426 - b. Round m to the nearest one hundred thousand.
-600000
Let b(f) = f**3 - f**2 - 3*f + 12. Let c(i) = i + 1. Let y(q) = -b(q) - 2*c(q). Let x be y(0). Let h be 4/x + (-10)/(-35). Round h to the nearest 10000.
0
Let p = 0.35 - 55.35. Let a = p - -121. Let w = a - 65.99961. What is w rounded to 4 dps?
0.0004
Suppose -87 = 3*b - 3*m, 7*m - 4*m = 2*b + 56. What is b rounded to the nearest 10?
-30
Let l = -141.33 + 0.33. Let z = l + 141.00063. What is z rounded to four decimal places?
0.0006
Let c = 30 + 21. Let i = c + -36. Let r = 14.99991 - i. Round r to 5 decimal places.
-0.00009
Let r = -0.331 + 0.35. Let s = -0.247 + r. Round s to two dps.
-0.23
Let w = 11.54 - 12. Let t = w + 0.01. What is t rounded to 1 dp?
-0.5
Let r = -1.71 - -1.7100146. Round r to five decimal places.
0.00001
Let k(u) = u**3 + 16*u**2 + 6*u - 24. Let z be k(-32). Round z to the nearest one thousand.
-17000
Let o = 366 - 365.396. Let d = -0.6 + o. Round d to 3 dps.
0.004
Let t = -1.75 + 1.74887. What is t rounded to four dps?
-0.0011
Suppose -4*t - 15 = t, 2*q + 5*t + 31 = 0. Let c be (q - -5)*(-30200000)/6. Round c to the nearest one million.
15000000
Let r = -0.89934 - -0.9. Round r to three dps.
0.001
Let f = -11.4871 + -4.5035. Let w = 16 + f. What is w rounded to three decimal places?
0.009
Let z = -0.8 - 3.2. Let o = -4.08 - z. Let c = -0.08000095 - o. Round c to 7 dps.
-0.000001
Suppose 4*y = -0*a - 5*a + 6, 0 = -5*y - 5. Let t(d) = 4*d - 2*d + d**2 - 2 - 12*d**a. Let m be t(-6). Round m to the nearest 100.
-400
Let b(v) be the second derivative of v**4/12 + v**3/6 + 4*v. Let j be b(-2). What is j rounded to the nearest in | {
"pile_set_name": "DM Mathematics"
} |
0. What is q?
-1, 0
Let -4*g**2 + 500/3*g - 328/3 = 0. Calculate g.
2/3, 41
Let y = -52 + 54. Let b(g) be the first derivative of -4 + 3*g**y - 1/2*g**3 - 6*g. Suppose b(d) = 0. What is d?
2
Let t(l) be the third derivative of -l**6/360 + l**5/30 + 5*l**4/24 - l**3/3 + 10*l**2. Let s(u) be the first derivative of t(u). Factor s(x).
-(x - 5)*(x + 1)
Factor 81/4*s**2 - 2187/8*s - 3/8*s**3 + 0.
-3*s*(s - 27)**2/8
Suppose s - o + 322 = 0, 0 = -3*s + o - 377 - 597. Let v = 2286/7 + s. Let -v - 2/7*f + 2/7*f**2 = 0. Calculate f.
-1, 2
Suppose -t = d, 7 = 5*t + 22. Let -2/5*u**d - 4/5 - 8/5*u**2 - 2*u = 0. Calculate u.
-2, -1
Let y(z) be the first derivative of 27/2*z**2 + 3*z**3 + 2*z + 1/4*z**4 - 11. Let u(c) be the first derivative of y(c). Factor u(i).
3*(i + 3)**2
Let o = 2267/4518 - 4/2259. Suppose 17*g**4 + 65/4*g**2 + o + 19/4*g + 25*g**3 + 4*g**5 = 0. Calculate g.
-2, -1, -1/2, -1/4
Let u(p) be the first derivative of 0*p + 6*p**2 + 3 + 1/15*p**5 + 0*p**3 - 1/2*p**4. Let f(k) be the second derivative of u(k). Suppose f(s) = 0. What is s?
0, 3
Let t be (5 + 597/(-120))/(9/12). Let s(p) be the first derivative of 0*p + t*p**5 + 7 + 1/12*p**2 + 1/8*p**4 + 1/6*p**3. Factor s(b).
b*(b + 1)**3/6
Let w(o) = -o**2 + 4. Let a(n) be the first derivative of -2*n**3/3 + 9*n - 4. Let u(s) = 3*a(s) - 7*w(s). Factor u(k).
(k - 1)*(k + 1)
Let q(r) be the third derivative of -r**9/72576 - 11*r**8/60480 - r**7/3780 + 11*r**5/30 + 3*r**2. Let f(s) be the third derivative of q(s). Factor f(d).
-d*(d + 4)*(5*d + 2)/6
Let d be (-3)/(-9)*7/(56/16). Let z(v) be the second derivative of 1/21*v**7 - 3/10*v**5 + 4/3*v**3 + 2/15*v**6 - d*v**4 + 0*v**2 + 7*v + 0. Factor z(t).
2*t*(t - 1)**2*(t + 2)**2
Suppose 0 = 5*w - 9 - 1. Suppose -w*j + 12 = -j. What is k in -52*k**2 - j + 55*k**2 + 3 - 6*k = 0?
-1, 3
Let g(l) be the third derivative of -l**6/120 - l**5/60 + l**4/12 - 146*l**2. Factor g(f).
-f*(f - 1)*(f + 2)
Let k(o) = o**2 - 7*o + 17. Let r be k(4). Suppose 3 = 2*n - r. Factor 0*u**2 - 1/2*u**5 + 0*u**n + u**3 + 0 - 1/2*u.
-u*(u - 1)**2*(u + 1)**2/2
Let p be (-19 - -27)*((-2)/12)/(34/(-51)). Factor -1/2*z**3 + 0 + z**p + 0*z - 1/2*z**4.
-z**2*(z - 1)*(z + 2)/2
Suppose -22*q = -14*q + 376. Let l = q - -49. Factor 0*r**l - 1/2 + 1/2*r**4 + r - r**3.
(r - 1)**3*(r + 1)/2
Solve 24 + 290*k**3 - 16*k - 2*k**2 - 146*k**3 - 142*k**3 = 0.
-3, 2
Suppose 118*k - 115*k - 6 = 0. Determine z, given that z**3 - k*z**3 + 6*z**2 - 3*z**2 - 2*z = 0.
0, 1, 2
Find d, given that 161*d**2 + 464*d**2 - 453*d + 15 + 653*d + 1 = 0.
-4/25
Let i = -1681/7 - -8433/35. Let -76/5*t**4 + 8/5 + 124/5*t**3 + 16/5*t**5 + i*t - 76/5*t**2 = 0. What is t?
-1/4, 1, 2
Suppose 0 = 207*w - 229*w + 44. Let k(j) be the second derivative of -1/21*j**3 + 0*j**w + 0 + j - 1/70*j**5 - 1/21*j**4. Factor k(o).
-2*o*(o + 1)**2/7
Suppose -75*h**2 + 10*h**4 + 1474*h**3 - 36*h - 1518*h**3 - 15*h**2 = 0. Calculate h.
-1, -3/5, 0, 6
Let p(j) be the first derivative of -j**4/20 + 7*j**3/15 - 2*j**2/5 - 12*j/5 - 558. Factor p(f).
-(f - 6)*(f - 2)*(f + 1)/5
Let b(q) = q + 16. Let j be b(-6). Let p(i) = i**3 - 14*i**2 + 12*i + 18. Let x be p(13). What is w in -x + 10 + w**2 + j*w + 1 + 19 = 0?
-5
What is o in -3/8*o + 9/4 - 3/8*o**2 = 0?
-3, 2
Let j(l) = l**2 + 12*l + 34. Let v be j(-8). Factor 3 + 2 - 22*z**v - 36*z - 17*z**2 - 18*z**3 - 17 - 3*z**4.
-3*(z + 1)**2*(z + 2)**2
Let o(n) be the second derivative of 7*n**5/20 - 3*n**4/4 + n**3/3 - 3*n - 12. Suppose o(u) = 0. What is u?
0, 2/7, 1
Suppose 5*z + 3*q + 87 = 0, -2*q - 54 = 4*z + 14. Let k(u) = 4*u**2 - 23*u + 3. Let j(a) = -a**2 - 1. Let s(t) = z*j(t) + 5*k(t). Factor s(h).
5*(h - 3)*(7*h - 2)
Suppose 0 = 98*y - 103*y + 15. Let u(z) be the third derivative of 1/84*z**4 + 0 + 0*z**y + z**2 - 1/210*z**5 + 0*z. Factor u(f).
-2*f*(f - 1)/7
Let w(v) = 2*v - 8. Let l be w(7). Factor -2*j**2 + 15 - 10*j - l*j**2 + 5*j**2 - 2*j**2.
-5*(j - 1)*(j + 3)
Let a = 58 - 54. Find c such that 10*c**3 - 16*c**2 + 363*c**a + c**2 - 358*c**4 = 0.
-3, 0, 1
Factor -26/11*f - 28/11 + 2/11*f**2.
2*(f - 14)*(f + 1)/11
Let f(o) = -9*o**4 + 2*o**3 - 2*o**2 - o. Let c(q) = -2*q**4 + q**3 - q**2. Let g(k) = 10*c(k) - 2*f(k). Solve g(h) = 0.
0, 1
Let -3/2*s**3 - 15/2*s**2 - 54 + 48*s = 0. Calculate s.
-9, 2
Let g = -3388/3 + 1134. Suppose 0*u + 10/3*u**3 + g*u**4 + 0 - 4/3*u**2 = 0. What is u?
-1, 0, 2/7
Let v(t) be the third derivative of -t**7/14 - 7*t**6/12 - 7*t**5/12 + 5*t**4/6 + 10*t**2 - 1. Factor v(q).
-5*q*(q + 1)*(q + 4)*(3*q - 1)
Suppose 3*j - 2*j = 1. Let p(c) = -c**4 - c**5 + 0*c**4 + 0*c**4. Let k(w) = w**5 - 4*w**4 - 13*w**3 - 12*w**2 - 4*w. Let f(i) = j*k(i) + 2*p(i). Factor f(l).
-l*(l + 1)**2*(l + 2)**2
Let j(b) be the first derivative of -5/3*b**3 - 15*b - 25/2*b**2 - 6 + 5/4*b**4. Determine y so that j(y) = 0.
-1, 3
Factor -2/11*a**3 + 0 + 8/11*a + 0*a**2.
-2*a*(a - 2)*(a + 2)/11
Suppose -14*j + 15 = -188 - 7. Let -75 - 3/4*p**2 + j*p = 0. Calculate p.
10
Let d be 2 + 32/(-24)*(-6)/4. Let w(z) be the second derivative of 0*z**3 + 0 - 2/5*z**2 + 0*z**5 - d*z + 2/15*z**4 - 2/75*z**6. Solve w(m) = 0.
-1, 1
Let d(t) be the first derivative of t**6/50 - 9*t**5/50 + t**4/20 + 12*t**3/5 + 24*t**2/5 + 8*t + 13. Let s(j) be the first derivative of d(j). Factor s(g).
3*(g - 4)**2*(g + 1)**2/5
Let d(h) be the first derivative of h**3/9 - 19*h**2/3 - 13*h - 141. Determine j so that d(j) = 0.
-1, 39
Let l = 805/12 - 775/12. Factor -3/2*a**3 - l*a + 7/2*a**2 + 1/2.
-(a - 1)**2*(3*a - 1)/2
Suppose 0 = -2*h - 5 - 5. Let a be h*6/(-45)*3. Factor 1/2*s**3 - 4 - a*s + s**2.
(s - 2)*(s + 2)**2/2
Let x(i) be the first derivative of -i**5/5 + i**4/4 - 11. Suppose x(k) = 0. What is k?
0, 1
Let j(u) be the second derivative of 1/3*u**3 - 5/2*u**2 + 17*u - 1/60*u**4 + 0. Factor j(t).
-(t - 5)**2/5
Suppose 157*d + 172 = 643. Factor 7/4*b**4 + 4*b + 1/4*b**5 + 25/4*b**2 + 19/4*b**d + 1.
(b + 1)**3*(b + 2)**2/4
Let h(y) be the first derivative of -1/2*y**3 + 3/10*y**5 - 7 + 3/2*y**2 - 3/4*y**4 + 0*y. Factor h(s).
3*s*(s - 2)*(s - 1)*(s + 1)/2
Let m(b) be the first derivative of b**2 + 11 + 2/3*b**3 - 4*b. Factor m(g).
2*(g - 1)*(g + 2)
What is l in 236/9*l + 0 - 8/9*l**2 = 0?
0, 59/2
Let s = 1/1594 + 397/2391. Let 0 + 1/3*m + 1/2*m**4 - 1/6*m**5 - s*m**3 - 1/2*m**2 = 0. Calculate m.
-1, 0, 1, 2
Let x(s) be the first derivative of -s**4/28 - s**3/21 + 6*s**2/7 - 111. Let x(k) = 0. What is k?
-4, 0, 3
Let v(h) be the second derivative of h**7/42 + h**6/30 - 3*h**5/2 + 37*h**4/6 - 67*h**3/6 + 21*h**2/2 - 110*h. Factor v(i).
(i - 3)*(i - 1)**3*(i + 7)
Let b(p) = 16*p**5 - 19*p**3 + 7*p**2 + 13*p - 17. Let j(r) = 23*r**5 - 29*r**3 + 11*r**2 + 20*r - 25. Let s(o) = -7*b(o) + 5*j(o). Factor s(a).
3*(a - 1)**3*(a + 1)*(a + 2)
Solve 1/2*s + 3/2*s**2 - 1/2*s**3 - 3/2 = 0.
-1, 1, 3
Let m(u) be the third derivative of -u**6/480 - u**5/48 + u**4/96 + 5*u**3/24 + 13*u**2 + 2. Factor m(x).
-(x - 1)*(x + 1)*(x + 5)/4
Let h be 2/((-6)/72*-8). Let v(t) be the first derivative of 3 - 3/2*t**2 + 2*t + 1/3*t**h. Find a such that v(a) = 0.
1, 2
Let r be (-1)/(-5) - 38/(-10). Let y(k) be the first derivative of 0*k**r + 0*k**2 + 0*k**3 - 1 + 3/5*k**5 + 0*k + 1/2*k**6. Factor y(v).
3*v**4*(v + 1)
Let k(f) = 2*f**2 - 6. Let t be k(-2). Solve -2*r**3 - 4*r**2 + t + 2*r**5 + 2*r - 6*r**3 + 2*r**4 + 4*r**3 = 0 for r.
-1, 1
Let b(o) be the first derivative of -1/5*o**2 - 12 + 2/15*o**3 - 4/5*o. Suppose b(z) = 0. What is z?
-1, 2
Let j be (-12)/5*(-22)/(8 + 58). Factor -8/5*b**3 + 0*b**4 + 0 + j*b + 0*b**2 + 4/5*b**5.
4*b*(b - 1)**2*(b + 1)**2/5
Let h(k) = -k**3 - 21*k**2 - 30*k - 1. Let z(m) be the first derivative of -m**4/4 - 11*m**3/3 - 15*m**2/2 - m - 25. Let u(t) = 4*h(t) - 9*z(t). Factor u(y).
5*(y + 1)**3
Let t = -4348/5 + 870. Let -2/5*r**2 + 0*r - 4/5*r**3 - t*r**4 + 0 = 0. Calculate r.
-1, 0
Suppose 0 - 2/3*j**2 - 2/3*j**5 + 2/3*j**3 + 2/3*j**4 + 0*j = 0. Calculate j.
-1, 0, 1
Let i(s) be the third derivative of s**6/120 + s**5/15 - 25*s**4/24 - 14*s**3/3 - 130*s**2. Find m such that i(m) = 0.
-7, -1, 4
Suppose 27*y = y + 9646. Let w = 1115/3 - y. Factor 8/3 + 0*u - 2*u**2 - w*u**3.
-2*(u - 1)*(u + 2)**2/3
Suppose 25*w = 29*w - 68. Factor 5*d**3 + d - 36*d + 0*d + w + 13.
5*(d - 2)*(d - 1)*(d + 3)
Suppose 73*w - 6 | {
"pile_set_name": "DM Mathematics"
} |
2987*n - 766931 wrt n?
-22530*b - 2987
Find the third derivative of -7523*z**6 - 916*z**4 + 3*z**3 + z**2 + 6371931*z wrt z.
-902760*z**3 - 21984*z + 18
Differentiate -6*u*x + 203089*u - 10571*x**4 + 5*x**2 + 21 wrt x.
-6*u - 42284*x**3 + 10*x
What is the first derivative of 267*p**3 + 144*p**2 + 1894*p - 474391260?
801*p**2 + 288*p + 1894
What is the derivative of -78083916*b - 62599601 wrt b?
-78083916
Differentiate -10*p**2 - 2*p*y**2 + 1784*p*y - 40*p - 22518301*y**2 with respect to p.
-20*p - 2*y**2 + 1784*y - 40
What is the third derivative of 22896*d*s**3 - 799*d*s + 2*d - 3796*s**3 - 11*s**2 + 3766*s wrt s?
137376*d - 22776
Find the second derivative of -6*t**2*x**3 + 623*t**2*x - 369*t**2 - 10*t*x**3 - t*x + 13*x**3 - 3557 wrt t.
-12*x**3 + 1246*x - 738
What is the derivative of 1259110309*z - 579161102 wrt z?
1259110309
What is the derivative of -37332448*c + 43315824?
-37332448
Find the second derivative of 10129107*b**2*k**4 + 77998*b**2*k + 2*k**4 - 63*k wrt k.
121549284*b**2*k**2 + 24*k**2
Differentiate 238715*p**4 + 2*p**2 + 56*p + 40007418.
954860*p**3 + 4*p + 56
Find the first derivative of 391328814*b**2*j - 143224904*j wrt b.
782657628*b*j
What is the first derivative of 13326*g*n*q**2 + 4775*g*n*q - 2*n*q**2 - 7523*n*q + 610*q**2 wrt g?
13326*n*q**2 + 4775*n*q
What is the third derivative of 56885263*w**3*z - 13387201*w**2*z - 3*w*z wrt w?
341311578*z
Find the second derivative of x**4 + 4*x**3 + 2545500*x**2 + 12616997*x wrt x.
12*x**2 + 24*x + 5091000
What is the third derivative of -126948217*m**3 + 251263340*m**2 wrt m?
-761689302
What is the third derivative of -21214653*f**3 + 262246396*f**2?
-127287918
Find the third derivative of -1004798622*h**6 - 5509*h**2 - 125189*h wrt h.
-120575834640*h**3
What is the derivative of 3*j**2*x + 33171495*j*x**3 + 44986572*x**3 + 4 wrt j?
6*j*x + 33171495*x**3
What is the derivative of 14143*a**3 + 6*a**2 - 73*a + 2505181 wrt a?
42429*a**2 + 12*a - 73
What is the second derivative of 23791158*x**2 - 23*x - 161566 wrt x?
47582316
What is the third derivative of 33984*w**6 + 414*w**3 + 72*w**2 - 6884 wrt w?
4078080*w**3 + 2484
What is the second derivative of -18562307*i**3 + 15037864*i wrt i?
-111373842*i
What is the third derivative of 60748128*k*n**3 + 2*k*n**2 - k*n - 6*k - 140*n**2 - 1601 wrt n?
364488768*k
Differentiate -88948698*h**2*x + 11451000*x wrt h.
-177897396*h*x
Find the third derivative of -81709644*r**6 - 427719*r**2 + 2*r + 94.
-9805157280*r**3
Find the third derivative of f**5 - 31787*f**4 + 4*f**3 + 36392820*f**2.
60*f**2 - 762888*f + 24
Find the third derivative of 152*l*m**4 + 11*l*m**2 - 87*l*m + 7*l + 6*m**5 - m**2 wrt m.
3648*l*m + 360*m**2
Find the second derivative of 7206*g**5 + 100*g**4 + 2*g**3 - 34491215*g - 1.
144120*g**3 + 1200*g**2 + 12*g
Find the third derivative of 883727767*c**3*j - 3*c**2*j + 2*c**2 - 3*c*j + 3*c + 126*j + 391 wrt c.
5302366602*j
What is the second derivative of 4921392*w**5 - 15829753*w?
98427840*w**3
What is the second derivative of 127851658*m**3 + 3768*m - 38895 wrt m?
767109948*m
What is the first derivative of 11317*i**2*v + 1908*i*v + 156*v - 55 wrt i?
22634*i*v + 1908*v
Find the second derivative of -42974060*l**3 + 3*l**2 - 130691841*l.
-257844360*l + 6
What is the third derivative of -p**6 + 5306507*p**5 - 33045451*p**2?
-120*p**3 + 318390420*p**2
Find the second derivative of -27*j*p**3 + 2*j*p + 6513*j + 40073*p**3 + 4*p**2 - p + 667 wrt p.
-162*j*p + 240438*p + 8
What is the second derivative of 5*r**5 + 12456*r**4 + 2014521*r?
100*r**3 + 149472*r**2
Find the second derivative of -529562943*y**2 - 1069035983*y.
-1059125886
What is the second derivative of -4847*j**2*p**2 - 3834*j**2 + 37206*j*p**2 - 2*j + 53*p**2 wrt j?
-9694*p**2 - 7668
What is the third derivative of 9289784*c**4*d - 2*c**2*d - c**2 - 147*c*d + 1356*d + 1 wrt c?
222954816*c*d
Differentiate 2*x**3 + 14495*x**2 - 16*x - 7083050.
6*x**2 + 28990*x - 16
Differentiate 53102*x**4 + 2539*x**2 + 739026999 wrt x.
212408*x**3 + 5078*x
What is the third derivative of -2081407*b*k**4 - 20*b*k**3*o**3 + b*k**2*o**3 - 4*b*k*o**2 - 1044*b*k + 2*b*o**3 - b*o + 4*k**2 + 12*k*o**3 wrt k?
-49953768*b*k - 120*b*o**3
What is the derivative of 77918935*v**4 + 156525325?
311675740*v**3
What is the second derivative of 748*l**3 - 122750*l**2 - 468756793*l?
4488*l - 245500
What is the second derivative of 922907*h**2 - 5337*h - 839 wrt h?
1845814
What is the first derivative of -37145985*k**3 - k + 99457696?
-111437955*k**2 - 1
What is the second derivative of -2*f**2*h**2 + 7593*f**2*h + 59*f**2 + 46*f*h**2 + 130024 wrt f?
-4*h**2 + 15186*h + 118
Find the second derivative of -486175692*i**3 + 402970520*i.
-2917054152*i
Find the third derivative of 127654663*y**3 - 302190232*y**2 wrt y.
765927978
What is the derivative of -13244*h**2 + 429*h + 3388228 wrt h?
-26488*h + 429
What is the derivative of -7482362*k + 4836074 wrt k?
-7482362
What is the third derivative of 3*a**4*i**3 - 3*a**3*i**3 + 15374*a**3*i + 15*a**2*i - 1995794*i**3 wrt a?
72*a*i**3 - 18*i**3 + 92244*i
What is the third derivative of -155731835*s**6 + 1013*s**2 - 3*s - 20893 wrt s?
-18687820200*s**3
What is the first derivative of -78722825*k*n**4 - 1254411617*k wrt n?
-314891300*k*n**3
What is the second derivative of 27043704*f**3 + 2*f - 36491427 wrt f?
162262224*f
What is the third derivative of 125134308*q**4 - 2093*q**2 - 119*q + 18?
3003223392*q
What is the second derivative of 61*i**3 + 468886*i**2 - 88*i - 64325 wrt i?
366*i + 937772
What is the second derivative of -236258*t**4 - 2*t**3 - 22043*t + 135 wrt t?
-2835096*t**2 - 12*t
Find the second derivative of 88*s**5 - 6*s**3 - 3968*s**2 + 150428644*s.
1760*s**3 - 36*s - 7936
What is the first derivative of -1111*j**2 + 1944*j + 1710496?
-2222*j + 1944
Find the third derivative of 13771375*m**4 - 11015861*m**2 wrt m.
330513000*m
Find the third derivative of 4981*g**5 + 33360*g**4 - 12*g**2 - 430139*g wrt g.
298860*g**2 + 800640*g
What is the derivative of -32*k**2*s - 81*k**2 - 4*k*n + 3*k + 10*n*s - 2190*s - 20654 wrt s?
-32*k**2 + 10*n - 2190
Find the first derivative of -38598697*w**4 - 19060576 wrt w.
-154394788*w**3
What is the first derivative of -4*m*p*x + 20*m*p - 957057*p*x + 2994*p - 23 wrt x?
-4*m*p - 957057*p
Find the second derivative of -500191*w**3 - 101*w**2 - 111870177*w.
-3001146*w - 202
Find the first derivative of -18291727*b**2 - 1060800.
-36583454*b
Differentiate -35892122*n*x + 318762*x + 10 with respect to n.
-35892122*x
Find the first derivative of 152312429*s**2 + 18672044.
304624858*s
What is the second derivative of 111994*n**3 - 3*n**2 - 418*n - 31637?
671964*n - 6
What is the derivative of 4*x**3 + 12950256*x - 19523645?
12*x**2 + 12950256
What is the derivative of -981912*l**4 + 11060154 wrt l?
-3927648*l**3
Find the first derivative of 766*t*y**2 - 745*t*y - 1609671*t + 29 wrt y.
1532*t*y - 745*t
What is the third derivative of 45208728*b**5 + 53108261*b**2 wrt b?
2712523680*b**2
What is the second derivative of -8372927*i**3 + 8111003*i wrt i?
-50237562*i
Find the first derivative of 888677856*w**2 - 744102647.
1777355712*w
What is the third derivative of 62823392*c**4 - c**2 - 59723789*c wrt c?
1507761408*c
Find the third derivative of 5219979*i**3*p**3 + i**3*p**2 + 352600*i**2 wrt p.
31319874*i**3
What is the third derivative of 282670696*s**4 + 6856*s**2 + 2783?
6784096704*s
Find the first derivative of -473*a*j + 20*a*k + 41*a + j*k + 26*j - 5*k + 4458 wrt a.
-473*j + 20*k + 41
Find the second derivative of -6530148*a**2 - 4*a - 637678.
-13060296
Find the first derivative of 833956454*k**2 - 7133862.
1667912908*k
Find the second derivative of -230092182*u**4 - 34608*u - 1622 wrt u.
-2761106184*u**2
Find the third derivative of -140816066*d**5 + 34*d**2 + 4762*d - 67 wrt d.
-8448963960*d**2
Differentiate -203946*i*k**2 + 2*i*k - 5*i - k**2 + 3*k - 325299 wrt k.
-407892*i*k + 2*i - 2*k + 3
What is the third derivative of -239165*c**3 + 29972561*c**2 wrt c?
-1434990
What is the derivative of -4*j**4 + 42898505*j - 653545268?
-16*j**3 + 42898505
Find the first derivative of -2*z**3 - 12297312*z**2 - 128278934 wrt z.
-6*z**2 - 24594624*z
Find the second derivative of -220815*o**3*r*w + 7531*o**3*w**2 + 66*o* | {
"pile_set_name": "DM Mathematics"
} |
three decimal places?
-0.058
Let f = -85.53 - -86.9398. Round f to 0 decimal places.
1
Let c = -13 + 12.44. Let y = -0.588 - c. Let o = 0.027625 + y. What is o rounded to 5 decimal places?
-0.00038
Let i = 3966 - 1853. Let a = i + -2151.43. Let m = a - -39. What is m rounded to one decimal place?
0.6
Let j = -622 - -322. Let k = 5373.7 - 5090. Let a = j + k. What is a rounded to 0 decimal places?
-16
Let j = -17321722700 + 17321722789.0000006366. Let r = 89 - j. What is r rounded to 7 decimal places?
-0.0000006
Let k = -507 + 524. Suppose 0 = 3*p - 2*g + 86362, 4*p - k*g + 115168 = -19*g. Round p to the nearest 1000.
-29000
Let p = 22.91148 + -1100409.91148. Let k = p - -1100386.99199941. Let f = k - -0.008. Round f to 7 decimal places.
-0.0000006
Let b = -71767.342278 - -71767. Let z = 0.2768 + -0.6198. Let u = b - z. Round u to five decimal places.
0.00072
Suppose 179*y + 163*y + 24764072 + 7001572 = 0. What is y rounded to the nearest one thousand?
-93000
Let q = -5968.578001 + -0.121999. Let n = 6543 + q. Let f = n - 603. Round f to 0 dps.
-29
Suppose -168 = 5*m + 57. Let u(j) = 4*j**3 - 12*j - 6. Let g be u(0). Let s be (1/((-9)/51600))/(g/m). What is s rounded to the nearest one hundred thousand?
0
Let c(h) = -24*h + 107. Let r(l) = 264*l - 1176. Let b(v) = -32*c(v) - 3*r(v). Let p be b(21). Round p to the nearest one thousand.
0
Let z = 4996 - 12975.1. Round z to the nearest one thousand.
-8000
Let j be 78/(-130) - (-400003)/5. Round j to the nearest 1000.
80000
Let p = 3.9 - 3.899985615. What is p rounded to six decimal places?
0.000014
Let k = -17.692 - -0.477. What is k rounded to 0 dps?
-17
Let f = 211.999 + -212. Let s = f + 0.001000482. Round s to 7 dps.
0.0000005
Suppose -30*x + 41936 = -14*x. Suppose 8*z - x + 53501 = 0. Round z to the nearest 1000.
-6000
Let w(i) = 2*i + 15. Suppose -4*g + 64 = -4*t, 4*g - 2*t - 27 - 27 = 0. Suppose g*f - 15*f = 36. Let v be w(f). What is v rounded to the nearest 10?
0
Let b = -82 + 118. Let r = -31 + b. Suppose r*v = -412221 - 277779. Round v to the nearest 10000.
-140000
Suppose -5*m + 16*l - 19*l + 56 = 0, 0 = -3*m - 3*l + 36. Suppose 4*o - 5*o = -5*q - 823, 0 = -5*q + m. Round o to the nearest 10.
830
Suppose 4*y - 4*b + 642000044 = -8*b, -481500038 = 3*y + 4*b. Let s be 7/(105/y) + (-4)/(-10). What is s rounded to the nearest one million?
-11000000
Let l = -462758.0889862 + 462917.089. Let x = 159 - l. Round x to 6 dps.
-0.000014
Let n(f) = 351*f - 34. Let l(s) = -702*s + 67. Let u(p) = 4*l(p) + 9*n(p). Let z be u(8). Round z to the nearest 100.
2800
Let o = -13082.675333 + 13096.442. Let x = 12.5666648 - o. Let u = x + 1.2. What is u rounded to 7 decimal places?
-0.0000022
Let w be ((-6)/24*-2)/(2/40). Suppose -858000 = -w*o - o. Round o to the nearest 100000.
100000
Let s = -824 - -839.808. What is s rounded to one dp?
15.8
Suppose 80*u + 1285438 = -185*u + 78*u. Round u to the nearest ten thousand.
-10000
Let m = 0.1376 - -1.1594. Let r = m - 66.677. Round r to the nearest ten.
-70
Let p = 1062 + -1062.429. Let g = p - 0.011. Let i = g + -1.8. Round i to the nearest integer.
-2
Let a = 10318761 + -7021161. What is a rounded to the nearest ten thousand?
3300000
Let g = 940.039656775 + 159.960345037. Let d = 1100 - g. Round d to 7 dps.
-0.0000018
Let n = 82134.25694 + -82135. What is n rounded to 3 decimal places?
-0.743
Let g = 1024.2566 + 3.0634. Let v = -1001 + g. What is v rounded to the nearest integer?
26
Let k = -9106 - -9113.478. Let c = -2.4 - 5. Let o = k + c. Round o to two decimal places.
0.08
Suppose -s + 2223554 = -4*k, -30*s = -4*k - 31*s - 2223566. Round k to the nearest 100000.
-600000
Let r = -1611 + 878. Let t = r - -733.00000109. What is t rounded to 7 dps?
0.0000011
Let d = -2546 - -2545.9999996137. Round d to seven decimal places.
-0.0000004
Let l(w) = -w**3 + 3*w**2 + 13*w - 7. Let z be l(5). Suppose 0 = z*m - 10*m - 32. Let f be 4/(m/(-30))*720. What is f rounded to the nearest 1000?
5000
Let n = -7098.8532 - -6972.78. Let p = n - -126. Round p to three decimal places.
-0.073
Let t = 4.329 - 4.329001848. What is t rounded to seven dps?
-0.0000018
Let t = -0.9984 + 1.05619. Let k = -6318.9376 - -6319. Let b = t - k. Round b to three decimal places.
-0.005
Let b = -73933158 - -73933157.50000143. Let w = 0 + -0.5. Let f = b - w. What is f rounded to seven decimal places?
0.0000014
Let a be 8/(2 - 3014/1509). What is a rounded to the nearest 1000?
3000
Let t = 7650688 - 7650690.0900028. Let m = 2.09 + t. Round m to 5 decimal places.
0
Suppose -1117*h + 12 = -1116*h. Suppose -h*j - 15*j + 1728000 = 0. What is j rounded to the nearest 10000?
60000
Let h = -5544 - -5544.10806. Round h to three decimal places.
0.108
Let q(d) = 670015*d**3 + 18*d**2 - 83*d + 84. Let t be q(4). Round t to the nearest one million.
43000000
Let a = -8.62872891 + 12.10970304. Let y = a - 3.481. What is y rounded to six decimal places?
-0.000026
Let k(h) = 2404*h - 784. Let u be k(51). What is u rounded to the nearest ten thousand?
120000
Let g = 0.00510424 - 0.00544. Round g to 5 decimal places.
-0.00034
Let v = -14122.99991349 - -14123. What is v rounded to five dps?
0.00009
Let k = -11739 + 11739.00000077228. What is k rounded to 7 dps?
0.0000008
Let f = 102.19 - 108.873. Let n = -8.12 - f. Round n to 1 dp.
-1.4
Let h = 545389457.53959870881949066 - 0.63959892881949066. Let t = h + -545389521.9. Let s = -65 - t. What is s rounded to seven dps?
0.0000002
Let d(z) = -43*z + 24. Let f(j) = -41*j + 22. Let l(q) = -5*d(q) + 6*f(q). Let y be l(-4). Round y to the nearest ten.
140
Let p = 95.9 - -14.1. Let r = 108 - p. Let q = r + 5.59. Round q to one dp.
3.6
Suppose -4*o + 196 = -4*d, -d - 61 = -o - 6*d. Let b be (11 - 13)/(6/o). What is b rounded to zero dps?
-17
Let n = 14326.995 - 14285. Let p = 112 + -70. Let d = p - n. What is d rounded to 3 dps?
0.005
Let r = -2636.64 - -2542. Round r to the nearest ten.
-90
Let u = -259.893 - -274. Round u to zero decimal places.
14
Let q = 15466 - 15466.055432. What is q rounded to 2 decimal places?
-0.06
Let i = -60149 - -60145.0461. Round i to 0 dps.
-4
Let j = -2116445 + -9797555. What is j rounded to the nearest 100000?
-11900000
Let h = -437.69 + 439. Let s = h + -6.93. What is s rounded to zero dps?
-6
Let f = 2856324670.406998811 + -2856322028.407. Let h = f + -2642. Round h to 7 decimal places.
-0.0000012
Let l = 6860.940432 - 6861. What is l rounded to four decimal places?
-0.0596
Let t(h) = -113*h**2 - 46*h - 555. Let f be t(-47). What is f rounded to the nearest ten thousand?
-250000
Let z(k) = -226*k + 2076. Let x be z(-50). Round x to the nearest one thousand.
13000
Suppose r + 5*f = -3*r + 36677, 0 = -2*r + f + 18335. Let t = 17369 - r. Round t to the nearest 100.
8200
Let u be (4/6)/(1 + (-28)/36). Suppose u*x + 47733 = -5097. Round x to the nearest 1000.
-18000
Let j be ((-5)/(-10))/(-3 - (-34)/12). Let d be ((-4)/6)/(j/5544*-11). What is d rounded to the nearest ten?
-110
Let l(x) = 27*x**3 + 24*x**2 - 11*x + 25*x**2 - 65*x**2 - 325*x**3 + 18 + 22*x**2. Let m be l(6). Round m to the nearest 10000.
-60000
Let z = 27454 + -27336.049. Round z to the nearest integer.
118
Let l(t) = 32*t + 418. Let i be l(-13). Suppose 4*k + 40280 = 3*u, -i*k - 17643 = -3*u + 2497. Round k to the nearest 1000.
-10000
Let x = -84.653 - -83. Let g = x + -0.087. Round g to one decimal place.
-1.7
Let d = -313.76 - -456.87. Let w = -143 + d. What is w rounded to two decimal places?
0.11
Let c(d) = -2470002*d + 4. Let f(w) = -9*w - 13. Let t be f(-2). Suppose -v + 4*x + 1 = t*x, -4*v - 2*x = -6. Let r be c(v). Round r to the nearest one million.
-5000000
Let c = -0.0229 + -1.6691. Let r = c + 1.67842. What is r rounded to 3 dps?
-0.014
Let b be (-1 + (-6 - -7))/3. Suppose b = 3*z + k - 4562, 7594 = 5*z + 8*k - 11*k. Round z to the nearest one hundred.
1500
Let p = -0.2264559 + -1.6135535. Let g = 1.84 + p. Round g to 7 decimal places.
-0.0000094
Suppose 2*t - 163 = -b - 0*b, -5*t + b + 411 = 0. Suppose 5*w - t = 8. Let i be (-150)/4*-3*464/w. What is i rounded to the nearest one thousand?
3000
Let h = 369 + 441. Let n = -811.282 + h. Let a = n - -0.082. What is a rounded to 1 dp?
-1.2
Let s = -266.59 + 268. Let i = 7.49 + s. Let o = -8.8999957 + i. Round o to si | {
"pile_set_name": "DM Mathematics"
} |
(a) 8 (b) 2 (c) 4
b
What is the closest to 1469 in 0, -4, 25, 0.4?
25
Which is the nearest to 2? (a) 5 (b) 9 (c) 3/2 (d) 2/5
c
What is the closest to -2/7 in -421, -7/4, 0, -1/4?
-1/4
Which is the closest to 0.291? (a) -2 (b) -8/15 (c) 0
c
Which is the closest to 0.06? (a) -0.62 (b) -5 (c) 5
a
Which is the closest to 2/3? (a) 3/7 (b) 1 (c) -20.08
a
Which is the nearest to 2? (a) 1/6 (b) 3 (c) 14/1907
b
Which is the closest to 25? (a) 0.7 (b) -3 (c) -1/3 (d) -4
a
Which is the closest to 2/5? (a) -1.1 (b) -8 (c) -5 (d) -1.19
a
Which is the closest to -9? (a) -2 (b) -1/6 (c) -1/11
a
Which is the closest to -9? (a) 715 (b) 0.09 (c) 0.2
b
What is the closest to 1/4 in 36, -0.5, -5, -2/13?
-2/13
Which is the nearest to 3/4? (a) 0.5 (b) 3/77 (c) 5 (d) -2/7
a
Which is the nearest to -5/3? (a) 8 (b) 0.6 (c) 101
b
What is the nearest to -1 in 2, 36, 0, -5, 8?
0
Which is the nearest to 18? (a) -3 (b) -5 (c) 3 (d) -2/29
c
What is the nearest to 0 in 1/2, 3, -75, 11, 5?
1/2
What is the closest to 3.3 in 4/85, 2, 4/17, -3/5?
2
Which is the nearest to -1/3? (a) -1/10 (b) -0.478 (c) -0.08
b
Which is the closest to -26? (a) -0.1 (b) -19 (c) 9
b
Which is the nearest to 1.5? (a) -17 (b) 2 (c) 4 (d) -4 (e) 5/3
e
What is the nearest to 10.1 in -32, -5, -2?
-2
Which is the closest to 0? (a) 4 (b) -0.2 (c) 50 (d) -307
b
Which is the closest to 0? (a) -190 (b) 0.1 (c) -6
b
What is the nearest to 7 in -387, 0, 3/5, 0.3, 1?
1
What is the nearest to 1 in 0.5, -3, -2.2, -16/3?
0.5
Which is the nearest to 2/5367? (a) -5 (b) 1/3 (c) -0.5
b
Which is the closest to -3? (a) -0.5 (b) 1480 (c) -1 (d) -0.4 (e) 0.02
c
What is the nearest to 0.1 in 88, 1/69, 0.07?
0.07
Which is the closest to -2? (a) -4 (b) -3 (c) 2/53 (d) 14/5
b
What is the nearest to -0.19 in -2/159, -0.4, 5, -3/4?
-2/159
What is the nearest to 0.1 in -1/5, -122, 2/3, 14/13?
-1/5
What is the nearest to -53552 in -4, -3/7, 0, -0.4?
-4
What is the nearest to 57 in -2, -0.1, 2.1, 5, 1/4?
5
Which is the closest to 1? (a) -15.82 (b) -5 (c) 5 (d) 1/41
d
What is the nearest to -0.1 in -4, 0.4, 5, -5, 11529?
0.4
Which is the nearest to -0.2? (a) 2/11 (b) -0.1 (c) -1 (d) 6 (e) -162
b
Which is the closest to -0.1? (a) -1 (b) 2/7 (c) 170744
b
What is the closest to -1/4 in 5, 0.8, -119, 1?
0.8
Which is the closest to -3/8? (a) 0.2 (b) -5 (c) -3
a
Which is the closest to -2/327? (a) -5 (b) 6/13 (c) 1/4 (d) 0.3 (e) -2/13
e
What is the closest to -2/19 in 25, -4, -1, 2/5?
2/5
Which is the nearest to -0.1? (a) -5 (b) 323 (c) -0.1 (d) -3
c
Which is the nearest to -3? (a) -149/43 (b) -3 (c) -0.3
b
What is the closest to -1 in 1.5, 3, -4/105, -2/5, -2/3?
-2/3
Which is the nearest to -0.261? (a) -0.5 (b) 1/135 (c) -5
a
Which is the closest to 0.1? (a) -34 (b) -0.1 (c) 1.6 (d) 0.08
d
What is the nearest to 0.8 in -2/13, -5, 30, -6/13?
-2/13
What is the closest to 1 in -0.06, -338/9, -0.4?
-0.06
Which is the nearest to 14? (a) -3/2 (b) -4 (c) 0 (d) 3
d
Which is the nearest to 0.131? (a) 0 (b) 1.3 (c) -1/2 (d) -1/11
a
What is the closest to -33 in 16, 0.5, -1.3?
-1.3
What is the nearest to -3 in 4744, -2/9, -5?
-5
What is the nearest to 1/3 in 0, 28, 2, 0.3?
0.3
What is the nearest to -1/5 in 142/9, -5, -0.028?
-0.028
What is the closest to 1 in 1797, -4, -3/7?
-3/7
Which is the closest to 0? (a) 1/2 (b) 0.02 (c) 10
b
Which is the closest to -3? (a) -1.69 (b) 1 (c) -0.5 (d) -5 (e) 0.2
a
What is the closest to -0.29 in 1, -6/749, 0?
-6/749
Which is the nearest to 0? (a) -2/21 (b) 1/2 (c) -74 (d) -6
a
What is the nearest to 175 in 3, 4, 8/3, -2?
4
What is the closest to 0 in -5, -6, -5/3, 5751?
-5/3
What is the nearest to -1/3 in -6/257, 357, 5, -2?
-6/257
What is the nearest to -1/8 in -24/59, 0.3, 4, -0.3, 0.4?
-0.3
Which is the nearest to 4? (a) -2 (b) -3 (c) 38 (d) -151 (e) -1
e
What is the closest to -3 in 64927, 2, 5?
2
Which is the closest to -0.372? (a) 13/3 (b) -6/5 (c) 0.4
c
Which is the closest to -0.02? (a) -0.1 (b) 3/7 (c) 2 (d) 42 (e) 1.5
a
What is the closest to 0.1 in -7, 0.3, 5, -7942, -1?
0.3
What is the closest to 0.3259 in 3, -5, -2, 7, 1/4?
1/4
What is the closest to 126.8 in 12, 9, -4, -3/4?
12
Which is the nearest to 1/4? (a) 3 (b) -0.031 (c) -14.1
b
Which is the nearest to 0? (a) -0.445 (b) 3 (c) 0.5
a
Which is the closest to -27? (a) -0.3 (b) 21 (c) -0.4
c
What is the closest to -2/7 in 14, 1/3, -0.4, 3, 395?
-0.4
Which is the nearest to -0.54? (a) -2/41 (b) 2 (c) 0.325
a
Which is the nearest to -23/3? (a) 2/5 (b) 3 (c) 0.2 (d) 2 (e) -2
e
Which is the closest to -305? (a) -5 (b) -269 (c) -6
b
What is the nearest to -6 in 0.1, 10, -60, 2/3, 3?
0.1
Which is the nearest to -1? (a) 0.2 (b) 0.2344 (c) -1 (d) 4/3
c
What is the closest to -185 in -1, -2/17, 0.449?
-1
What is the nearest to 0 in 37, -3, -0.17, -0.1?
-0.1
Which is the closest to -2? (a) -48 (b) -19/9 (c) -1/8 (d) 3
b
What is the closest to -10 in -6, 0, 31?
-6
What is the closest to -0.01186 in -4, -5, 4.7?
-4
What is the nearest to -2/5 in 0.5, -5, -3/8?
-3/8
Which is the nearest to -7? (a) 10/9 (b) -2/7 (c) -0.09 (d) -2
d
Which is the nearest to -12/13? (a) 9/688 (b) 2/11 (c) -2
a
Which is the closest to -6.28? (a) -4 (b) -2/17 (c) 5 (d) -14
a
What is the nearest to -2/31 in -0.1, 1/3, -12/43?
-0.1
Which is the closest to -0.15? (a) 5 (b) -0.0554 (c) -0.6
b
Which is the nearest to 0? (a) 5 (b) 0.5 (c) 11586
b
Which is the nearest to -1/2? (a) 61 (b) 0.23 (c) -0.01 (d) 0.4 (e) 1/4
c
What is the closest to -1 in -0.078, 0.4, -49/6?
-0.078
What is the nearest to -1/2 in 0.4, 1, 6, 0.5, -2.707?
0.4
Which is the closest to -0.1? (a) -264 (b) -46 (c) 1/4
c
Which is the closest to 1/2? (a) 12 (b) 123 (c) -0.2 (d) 5
c
Which is the nearest to -1? (a) -5 (b) -43 (c) 8803
a
What is the nearest to -5 in -0.2, 0.5, -2/11, -3, 371?
-3
What is the closest to 1/2 in 0.9, 2/13, 31?
2/13
What is the closest to -1/6 in 2, 2/9, 5, 23/5?
2/9
What is the nearest to -0.2 in 332, -0.07, 0.05, 4?
-0.07
What is the nearest to -2 in 13.2, -13, -6/7, 4?
-6/7
Which is the closest to -1? (a) 3 (b) 3/5 (c) 65/9 (d) 0
d
What is the nearest to -0.1 in -2, -0.2, -5.17, 4?
-0.2
Which is the closest to -2.1? (a) -0.05 (b) 3/7 (c) -3 (d) -12
c
What is the closest to -1/38 in -0.2, 1/9, -0.1, -5, 0.5?
-0.1
What is the closest to -2/3 in 32, 0, -4, -2/813?
-2/813
What is the closest to 1 in 0.4, -78/25, 28?
0.4
What is the nearest to 4 in 2, -0.1, 3/158?
2
Which is the closest to -29/3? (a) -4/5 (b) -2/21 (c) 1 (d) 2 (e) 0.2
a
What is the closest to 304 in 3, 50, 1?
50
Which is the closest to 2/5? (a) -19 (b) -1.1 (c) 0.06
c
Which is the nearest to 13? (a) 2/13 (b) -2/5 (c) -1 (d) -18 (e) -0.12
a
Which is the nearest to -1/8? (a) 5 (b) 16 (c) 1 (d) 0.5 (e) -1
d
What is the closest to 0 in 0.5, -62.4, 1, 5?
0.5
What is the nearest to 0.05348 in 0.067, 1, 2?
0.067
What is the nearest to 2/7 in 1/6, 1/2, 5, -6?
1/6
Which is the nearest to -1/3? (a) -0.1 (b) 5/16 (c) -44/7 (d) 1
a
What is the closest to -6 in -0.67, -15, -2, 4, -2/5?
-2
What is the closest to -2 in -119, -17/5, 0.5, -0.4?
-17/5
What is the nearest to 117 in 0.1, 120, 0.2, 1/4?
120
What is the nearest to 0 in -140/9, -0.1, -0.4, 5?
-0.1
What is the nearest to 1/4 in 2/5, 2/11, 2, -4/1169?
2/11
Which is the nearest to -4? (a) 1/13 (b) 3 (c) -2 (d) 0.12
c
What is the closest to 0.1 in 1.08, -5, -2/11, -2?
-2/11
Which is the nearest to 2/7? (a) 3 (b) 2 (c) 1/6 (d) -5 (e) 4.9
c
What is the nearest to -1/4 in 0.12, 5, -5, -44?
0.12
Which is the closest to 15/7? (a) 0.3 (b) -1/7 (c) 8 (d) 0.04
a
What is the nearest to -1/6 in -12, -3, -213?
-3
What is the nearest to -1 in 0.3, -1, -2/17, 12558?
-1
What is the closest to 0.1 in 5, -3, -2/5, 215?
-2/5
What is the closest to -0.2 in 287, 0.4, -20?
0.4
Which is the nearest to 2? (a) 0.44 (b) 9 (c) 0 (d) 0.1 (e) -1
a
What is the closest to 0.11 in 1/34, 31, -1/4?
1/34
Which is the nearest to -2? (a) 1 (b) -426 (c) 3
a
Which is the nearest to 2/5? (a) 2/85 (b) -0.2 (c) -1/55 (d) 0.3 (e) -2/3
d
Which is the nearest to -4070? (a) 2/ | {
"pile_set_name": "DM Mathematics"
} |
. Give prob of sequence kl.
1/20
What is prob of sequence jf when two letters picked without replacement from {p: 5, f: 5, n: 1, j: 4, a: 1}?
1/12
Three letters picked without replacement from lxxrjxjxlxxx. What is prob of sequence rjj?
1/660
Two letters picked without replacement from {g: 1, i: 1, n: 9}. Give prob of sequence gn.
9/110
What is prob of sequence tnu when three letters picked without replacement from {u: 2, t: 2, v: 3, n: 4, j: 3, o: 4}?
1/306
Calculate prob of sequence zqz when three letters picked without replacement from {q: 16, z: 4}.
8/285
What is prob of sequence tt when two letters picked without replacement from rkkkdtutzdkr?
1/66
What is prob of sequence galg when four letters picked without replacement from axgalag?
1/140
Two letters picked without replacement from ppppdppddpppppp. Give prob of sequence pd.
6/35
Two letters picked without replacement from {k: 2, t: 4, v: 3, a: 2}. What is prob of sequence tv?
6/55
Calculate prob of sequence slwl when four letters picked without replacement from wwalhwhsuhhhl.
1/2860
Calculate prob of sequence wu when two letters picked without replacement from {w: 6, u: 2}.
3/14
Two letters picked without replacement from hhhepepopeppeevpev. What is prob of sequence eo?
1/51
Calculate prob of sequence fffj when four letters picked without replacement from fffffffffjfnffffj.
13/170
What is prob of sequence cr when two letters picked without replacement from {r: 2, c: 2}?
1/3
Three letters picked without replacement from {z: 3, s: 17}. What is prob of sequence zsz?
17/1140
Calculate prob of sequence kk when two letters picked without replacement from kpkvkppkdp.
2/15
Two letters picked without replacement from {y: 3, j: 2, h: 1, t: 3, b: 1}. What is prob of sequence jj?
1/45
Three letters picked without replacement from {v: 6, y: 1, a: 7}. What is prob of sequence vay?
1/52
Two letters picked without replacement from {m: 2, z: 3, q: 2, v: 9}. What is prob of sequence qm?
1/60
Calculate prob of sequence mhum when four letters picked without replacement from {w: 5, u: 3, x: 2, m: 7, h: 1, v: 2}.
7/6460
Four letters picked without replacement from jjjtjjjjtjt. Give prob of sequence jttt.
1/165
What is prob of sequence xx when two letters picked without replacement from {d: 1, v: 1, x: 2}?
1/6
Three letters picked without replacement from {o: 2, b: 8, s: 2}. Give prob of sequence sbb.
14/165
Three letters picked without replacement from qqqqqqqqpqqqqqqpqqq. What is prob of sequence pqq?
16/171
Three letters picked without replacement from awjlqxl. Give prob of sequence wll.
1/105
Four letters picked without replacement from udiuudui. What is prob of sequence diui?
1/105
Calculate prob of sequence ggp when three letters picked without replacement from pppgg.
1/10
Calculate prob of sequence tfz when three letters picked without replacement from fgffzgt.
1/70
What is prob of sequence ru when two letters picked without replacement from rupururpudp?
6/55
Two letters picked without replacement from hhth. Give prob of sequence ht.
1/4
Four letters picked without replacement from {a: 2, c: 7, g: 3, j: 3}. What is prob of sequence ajja?
1/2730
Calculate prob of sequence qq when two letters picked without replacement from vuuuupqpu.
0
What is prob of sequence bobr when four letters picked without replacement from {r: 4, o: 10, b: 5}?
25/2907
Three letters picked without replacement from {a: 4, h: 7, p: 6}. What is prob of sequence hah?
7/170
Three letters picked without replacement from ncnpnppypuppnnpcg. Give prob of sequence pgy.
7/4080
Calculate prob of sequence mttt when four letters picked without replacement from mmtmmtt.
1/35
Calculate prob of sequence ha when two letters picked without replacement from rraqqryrrrrrrruuhrar.
1/190
Two letters picked without replacement from {f: 3, h: 1}. What is prob of sequence hf?
1/4
Three letters picked without replacement from {j: 2, g: 3, h: 1, u: 1, p: 1, i: 3}. What is prob of sequence ihi?
1/165
Calculate prob of sequence dzb when three letters picked without replacement from dzlbzzlzll.
1/180
What is prob of sequence dd when two letters picked without replacement from {d: 3, b: 13}?
1/40
Two letters picked without replacement from bxcmxpb. What is prob of sequence bm?
1/21
Four letters picked without replacement from evvdjejkq. Give prob of sequence ekjd.
1/756
Four letters picked without replacement from umtsmmsscmmv. What is prob of sequence tmus?
1/792
What is prob of sequence pr when two letters picked without replacement from {p: 3, r: 13}?
13/80
Three letters picked without replacement from {k: 1, u: 1, r: 2, e: 1, d: 1, i: 1}. Give prob of sequence der.
1/105
Calculate prob of sequence ubu when three letters picked without replacement from abubaubaa.
1/84
Calculate prob of sequence el when two letters picked without replacement from {k: 2, l: 5, d: 3, e: 3}.
5/52
Four letters picked without replacement from fwwssuwsqf. What is prob of sequence fquw?
1/840
Three letters picked without replacement from {l: 5, d: 11}. What is prob of sequence ddd?
33/112
Four letters picked without replacement from tlfthtbft. Give prob of sequence lftb.
1/378
Calculate prob of sequence mi when two letters picked without replacement from {o: 1, a: 2, z: 3, m: 4, i: 2}.
2/33
Calculate prob of sequence bu when two letters picked without replacement from {b: 1, o: 10, u: 7}.
7/306
Two letters picked without replacement from {i: 4, t: 5, b: 7}. Give prob of sequence tb.
7/48
Calculate prob of sequence fa when two letters picked without replacement from azzazaarczznnfa.
1/42
Two letters picked without replacement from uuuuuffuuf. Give prob of sequence uu.
7/15
Calculate prob of sequence qwpq when four letters picked without replacement from {q: 2, v: 1, s: 6, d: 1, p: 1, w: 5}.
1/4368
Three letters picked without replacement from {u: 1, k: 3, a: 1, x: 4, h: 2}. Give prob of sequence xau.
2/495
Four letters picked without replacement from xxxxxxxxxx. Give prob of sequence xxxx.
1
Calculate prob of sequence rnnr when four letters picked without replacement from rrrnrrrrrrrnr.
1/78
What is prob of sequence qpj when three letters picked without replacement from pqqpqjpqqjjjqjp?
4/91
Calculate prob of sequence ggr when three letters picked without replacement from rggrg.
1/5
Calculate prob of sequence yy when two letters picked without replacement from aoqqhymy.
1/28
What is prob of sequence wh when two letters picked without replacement from whhhhhwghmgggwhghg?
4/51
Two letters picked without replacement from llllzowwlpzwolowvzo. What is prob of sequence wz?
2/57
Four letters picked without replacement from {g: 3, j: 3, p: 3, i: 3, d: 1, w: 1}. Give prob of sequence idip.
3/4004
Three letters picked without replacement from woonl. What is prob of sequence owl?
1/30
Calculate prob of sequence pr when two letters picked without replacement from {g: 3, r: 2, i: 4, p: 3, f: 6}.
1/51
Three letters picked without replacement from {n: 1, h: 1, z: 4, i: 2, u: 2, y: 2}. Give prob of sequence iuu.
1/330
What is prob of sequence amak when four letters picked without replacement from kakamackaoa?
1/132
Four letters picked without replacement from {g: 3, n: 2, a: 1, c: 1}. Give prob of sequence cggc.
0
What is prob of sequence bab when three letters picked without replacement from hhhhhbhahb?
1/360
Calculate prob of sequence xsxx when four letters picked without replacement from {i: 6, s: 1, x: 4}.
1/330
Calculate prob of sequence fll when three letters picked without replacement from {l: 2, f: 9}.
1/55
Two letters picked without replacement from uuqjsbqbe. Give prob of sequence ue.
1/36
Four letters picked without replacement from {z: 3, i: 1, m: 1, x: 4, g: 5}. What is prob of sequence zgmm?
0
What is prob of sequence ig when two letters picked without replacement from gfiiggigifx?
8/55
What is prob of sequence od when two letters picked without replacement from kohoookdohkohhooho?
1/34
What is prob of sequence uu when two letters picked without replacement from {r: 1, u: 2}?
1/3
Two letters picked without replacement from hrff. What is prob of sequence hf?
1/6
What is prob of sequence lq when two letters picked without replacement from llllqlllllql?
5/33
Two letters picked witho | {
"pile_set_name": "DM Mathematics"
} |
+ 3*g. Let h(x) be the first derivative of u(x). Find the second derivative of h(a) wrt a.
-12*a
Suppose 0 = -41*q + 39*q. Let i(r) be the first derivative of 0*r**5 + q*r + 0*r**4 + 2 + 1/2*r**6 + 0*r**2 + 1/3*r**3. Find the third derivative of i(n) wrt n.
180*n**2
Let b = 2 - -1. Find the second derivative of -4*v**b - 4*v + 0*v**2 + 2*v**2 - 2*v**2 wrt v.
-24*v
Suppose r - 3 = 1. Find the third derivative of 146*p - 146*p - r*p**4 + 3*p**2 wrt p.
-96*p
Let r(y) = -23*y**6 - 2*y**5 + 2. Let i(v) = -116*v**6 - 11*v**5 - v**2 + 11. Let d(x) = -2*i(x) + 11*r(x). Find the third derivative of d(a) wrt a.
-2520*a**3
Let j(c) = -c**2 + 5*c - 2. Let d be j(3). Differentiate 5*b**4 + 5 - 1 - 3 + d with respect to b.
20*b**3
Suppose -4*d + 5*n = 15, -2*n - 2*n = -12. Let o(k) be the third derivative of -3*k**2 - 1/3*k**3 + 0*k - 1/24*k**4 + d. Differentiate o(s) wrt s.
-1
Let x(s) be the second derivative of -3/10*s**5 + 5*s + 0*s**4 + 0 + 1/2*s**2 + 0*s**3. Differentiate x(t) wrt t.
-18*t**2
Suppose -v - 6*v = -14. Suppose -r + 4 = 2*z - 4, -r + 5*z - 13 = 0. What is the second derivative of -20*h - v*h**5 + 23*h - r*h**5 wrt h?
-80*h**3
Differentiate -10 + 16 + 39*h**3 + 9 with respect to h.
117*h**2
Let m(c) = -c**3 - 2*c + 5. Let n be 1*-3*(-3)/9. Let x(t) = -t + 1. Let z(g) = n*m(g) - 2*x(g). What is the first derivative of z(q) wrt q?
-3*q**2
Let v be 2 + 2 + 1 + -2. What is the first derivative of 10*p**3 - 7*p**v - 1 - 1 wrt p?
9*p**2
Let n(g) = -g**2 - 6*g - 5. Let r be n(-4). What is the second derivative of c + r*c - 6*c - 3*c**2 wrt c?
-6
Let h(o) = 11*o**5 - 41*o**2 - 17*o. Let g(k) = -4*k**5 + 14*k**2 + 6*k. Let c(n) = -17*g(n) - 6*h(n). Find the third derivative of c(b) wrt b.
120*b**2
Let i = -2 + 2. Let k(u) be the third derivative of 1/210*u**7 + 0 + 0*u**4 - 1/20*u**5 + i*u**3 + 0*u - u**2 + 0*u**6. Find the third derivative of k(r) wrt r.
24*r
Let c(p) = -3*p**2 - 13*p. Let g(l) = 3*l**2 + 13*l. Let j(y) = -5*c(y) - 6*g(y). What is the second derivative of j(z) wrt z?
-6
Let i = -11 + 13. Find the second derivative of -i*f + 7*f**2 - 2*f + 12*f wrt f.
14
Let y = 2 + 4. Find the second derivative of -4*d**3 + 4*d**3 - 3*d - y*d**5 + 11*d**5 wrt d.
100*d**3
Let u(p) = -16*p**4 + 3*p**3 + 17*p**2 - 3*p. Let j(h) = 17*h**4 - 2*h**3 - 16*h**2 + 2*h. Let z(b) = 3*j(b) + 2*u(b). Find the third derivative of z(m) wrt m.
456*m
Let y(v) be the third derivative of -19*v**4/24 - 13*v**3/6 + 15*v**2. What is the first derivative of y(w) wrt w?
-19
Let a(p) = -6*p - 1. Let y be a(-1). Let z(c) = 1 + y - 8. Let h(d) = d - 2. Let j(l) = 2*h(l) - 3*z(l). Find the first derivative of j(s) wrt s.
2
Let i(o) be the first derivative of -o**5/40 + 7*o**4/24 - 7*o**3/3 + 3. Let s(g) be the third derivative of i(g). Differentiate s(z) wrt z.
-3
Let r(g) be the first derivative of 5*g**4/2 - 3*g**3 + 6. Find the third derivative of r(v) wrt v.
60
Let p(s) = -15*s**3 + 31*s**2 + 11*s. Let y(r) = 3*r**3 - 6*r**2 - 2*r. Let k(f) = 2*p(f) + 11*y(f). Find the third derivative of k(n) wrt n.
18
Let j(w) be the second derivative of w**6/5 - w**3/6 - 10*w. Find the second derivative of j(i) wrt i.
72*i**2
Let o(v) be the third derivative of -3*v**5/20 + 17*v**3/6 - 21*v**2. What is the derivative of o(m) wrt m?
-18*m
Let l(n) be the first derivative of 5*n**4/4 + 7*n**3/3 + 17. Find the third derivative of l(v) wrt v.
30
Suppose 5*q + 9 = -j - 6, -1 = 3*j + 4*q. Let b be ((-1)/j)/(3/(-15)). Differentiate -3*z - b - 1 + 3 wrt z.
-3
Let k(x) = x**3 + 6*x**2 - 7*x + 5. Let m be k(-7). What is the second derivative of -9*f + m*f + f**2 + 3*f**2 wrt f?
8
Let s = 29 - 434/15. Let i(f) be the third derivative of -3*f**2 + 0*f - s*f**5 + 0 + 0*f**4 + 1/2*f**3. Differentiate i(j) with respect to j.
-8*j
Let t(s) = 3*s**4 + 4*s**3 - 4*s - 6. Let d(g) = 2*g**4 + 3*g**3 - 3*g - 5. Let x(o) = -4*d(o) + 3*t(o). What is the first derivative of x(u) wrt u?
4*u**3
Let v(o) = -23*o**3 - 5*o**2 - 5*o - 35. Let x(i) = -11*i**3 - 3*i**2 - 3*i - 18. Let w(p) = -3*v(p) + 5*x(p). Differentiate w(g) wrt g.
42*g**2
Suppose -3*l + 4*o = 8, 0 = -2*l + 6*o - 3*o - 7. Suppose 0*b + 6 = 2*b. Differentiate -l - u**2 + 2 + b*u**2 wrt u.
4*u
Let i(y) be the second derivative of -11*y**7/21 + 3*y**3/2 - 21*y. Find the second derivative of i(g) wrt g.
-440*g**3
Let c(n) be the third derivative of n**8/84 - 7*n**5/60 - 9*n**2. Find the third derivative of c(s) wrt s.
240*s**2
Let w(g) be the second derivative of 0*g**5 + 0*g**2 + 0 + 0*g**3 + 1/4*g**4 + g + 1/30*g**6. Find the third derivative of w(i) wrt i.
24*i
Let h(f) = -16*f**3 - 9*f**2 + 2. Let k(d) = d**3 + d**2 - 1. Let b(i) = -h(i) - 2*k(i). What is the third derivative of b(w) wrt w?
84
Let j(a) = 5*a - 1. Let k be j(-1). Let h be (4/6)/((-2)/k). What is the third derivative of 0*p**5 + p**h + 2*p**5 - 4*p**5 wrt p?
-120*p**2
Suppose 3*a = 2*a. Let g(n) be the first derivative of -1/2*n**4 - 1 + n**2 + 0*n + a*n**3. What is the second derivative of g(p) wrt p?
-12*p
Let l(x) be the third derivative of x**7/30 + 9*x**5/20 - 14*x**2. What is the third derivative of l(t) wrt t?
168*t
Let r(u) = 21*u**2 - 5*u - 38. Let h(n) = 11*n**2 - 2*n - 19. Let k(p) = 5*h(p) - 2*r(p). Find the first derivative of k(v) wrt v.
26*v
Let q(w) be the third derivative of 0*w**6 - 1/2*w**3 - 1/70*w**7 + 0 - 4*w**2 + 0*w**4 + 0*w**5 + 0*w. Differentiate q(i) wrt i.
-12*i**3
Let t(u) be the first derivative of 0*u + u**2 - 4/3*u**3 - 4. Find the second derivative of t(d) wrt d.
-8
Let i = 25 + -17. Differentiate 8*r**3 - 1 - 4 - i*r**3 - 8*r**4 wrt r.
-32*r**3
Let c(j) be the second derivative of j**6/60 - 2*j**3/3 + 3*j**2/2 - 4*j. Let f(h) be the first derivative of c(h). Differentiate f(i) wrt i.
6*i**2
Let z be 68/16 + 3/(-12). Suppose -g + z = g. What is the third derivative of -4*f**4 + f**4 + 10*f**2 - 14*f**g wrt f?
-72*f
Let j(k) be the third derivative of -k**7/1260 + k**6/180 + k**5/60 + 2*k**2. Let o(c) be the third derivative of j(c). Differentiate o(q) with respect to q.
-4
What is the derivative of -9 + 10 - 13 + 12*x**2 wrt x?
24*x
Let t(k) = k + 13. Let s be t(-9). What is the first derivative of -s - 5*v**4 - 5 + 4 wrt v?
-20*v**3
Let g(k) be the second derivative of -2/15*k**6 + 0*k**2 + 0*k**3 + 0 - 5/12*k**4 + 3*k + 0*k**5. What is the third derivative of g(x) wrt x?
-96*x
Let c(n) be the second derivative of 13*n**6/15 + 7*n**3/6 + 24*n. What is the second derivative of c(h) wrt h?
312*h**2
Let r(g) = -3*g - 4. Let c(a) = 3*a + 4. Let v(f) = f**2 + 11*f + 7. Let t be v(-10). Let i(n) = t*c(n) - 2*r(n). Differentiate i(k) wrt k.
-3
Let a(k) = -29*k**4 + 4*k**3 + 4*k**2 - 4*k - 19. Let t(o) = o**3 + o**2 - o + 1. Let q(w) = -a(w) + 4*t(w). Differentiate q(r) wrt r.
116*r**3
Let y(v) be the third derivative of 0*v + 0*v**5 + 0 + 0*v**6 - 7/6*v**3 - 1/42*v**7 + v**2 + 0*v**4. Differentiate y(j) with respect to j.
-20*j**3
Let f(u) = 165*u**3 + 24*u + 96. Let k(r) = -33*r**3 - 5*r - 19. Let j(o) = -5*f(o) - 24*k(o). Differentiate j(q) wrt q.
-99*q**2
Let m = 4 - -2. Let g(n) = -8*n**4 - 11*n + 8. Let q(z) = -2*z**4 - 3*z + 2. Let a(l) = m*g(l) - 22*q(l). Find the first derivative of a(f) wrt f.
-16*f**3
Let k be 2*1 - 3/(-1). Suppose -6 + k = -g. What is the second derivative of g + 2*u**5 + 2*u - 1 wrt u?
40*u**3
Let h(i) = i**2 - 54*i. Let r(z) = -z**2 + 27*z. Let v(k) = 2*h(k) + 5*r(k). What is the second derivative of v(n) wrt n?
-6
Differentiate -7 - 40*p**2 + 0 + 1 + 1 with respect to p.
-80*p
Suppose -4*q + 5*g = 3, 3*g + 3 = -0*q + 4*q. What is the third derivative of q*o**2 - 2*o**2 + o**5 + 2*o**5 wrt o?
180*o**2
Let c(h) = h**2 - h - 1. Let t(x) = -2*x**3 - 3*x**2 + 3*x. Suppose 4*p - 2*p = 2. Let z(u) = p*t(u) + 3*c(u). What is the derivative of z(l) wrt l?
-6*l**2
Suppose -6*n + 2*n = 2*t + 6, -3*t - 13 = 2*n. Let d = t - -7. Find the second derivative of -a**5 + a - d*a + 3*a**5 wrt a.
40*a**3
Let n(k) = k + 6. Let t be n(0). What is the second derivative of -2*m**5 + 4*m**5 - t*m**5 - m wrt m?
-80*m**3
Let o(j) = 4*j**2 - 2*j - 3. Let h(k) = -9*k**2 + 5*k + 7. Let y(w) = 6*h(w) + 15*o(w). Differentiate y(f) wrt f.
12*f
Suppose 0 = 2*s + 7 - 17. Suppose -2*q + s = -3. Differentiate q*u + 3 - 4 - u wrt u.
3
Let m(w) = -w**2 - 2*w | {
"pile_set_name": "DM Mathematics"
} |
xth root of 394918 to the nearest integer?
9
What is the third root of 1206480 to the nearest integer?
106
What is 507351 to the power of 1/4, to the nearest integer?
27
What is the square root of 1376205 to the nearest integer?
1173
What is the ninth root of 4736965 to the nearest integer?
6
What is 18227773 to the power of 1/9, to the nearest integer?
6
What is the third root of 1287467 to the nearest integer?
109
What is 645201 to the power of 1/2, to the nearest integer?
803
What is the cube root of 2764945 to the nearest integer?
140
What is the fourth root of 577235 to the nearest integer?
28
What is 127534 to the power of 1/3, to the nearest integer?
50
What is the sixth root of 26372519 to the nearest integer?
17
What is 2112473 to the power of 1/2, to the nearest integer?
1453
What is the third root of 1452651 to the nearest integer?
113
What is the cube root of 3160541 to the nearest integer?
147
What is 428013 to the power of 1/2, to the nearest integer?
654
What is 2695640 to the power of 1/7, to the nearest integer?
8
What is the square root of 10455628 to the nearest integer?
3234
What is the square root of 409095 to the nearest integer?
640
What is the square root of 1424052 to the nearest integer?
1193
What is 59901 to the power of 1/2, to the nearest integer?
245
What is 9102995 to the power of 1/3, to the nearest integer?
209
What is 423841 to the power of 1/5, to the nearest integer?
13
What is the fifth root of 139527 to the nearest integer?
11
What is the square root of 4649297 to the nearest integer?
2156
What is the fifth root of 6042768 to the nearest integer?
23
What is 21242505 to the power of 1/6, to the nearest integer?
17
What is the third root of 793234 to the nearest integer?
93
What is 9653079 to the power of 1/4, to the nearest integer?
56
What is the square root of 3830993 to the nearest integer?
1957
What is the square root of 10519576 to the nearest integer?
3243
What is the tenth root of 70317 to the nearest integer?
3
What is the third root of 26303391 to the nearest integer?
297
What is the tenth root of 650153 to the nearest integer?
4
What is 261658 to the power of 1/3, to the nearest integer?
64
What is 2275590 to the power of 1/2, to the nearest integer?
1509
What is the fifth root of 262356 to the nearest integer?
12
What is the square root of 5231491 to the nearest integer?
2287
What is the square root of 241873 to the nearest integer?
492
What is the square root of 4653044 to the nearest integer?
2157
What is 8090 to the power of 1/9, to the nearest integer?
3
What is 15146813 to the power of 1/2, to the nearest integer?
3892
What is the cube root of 498480 to the nearest integer?
79
What is the fourth root of 92206 to the nearest integer?
17
What is the square root of 1520990 to the nearest integer?
1233
What is the square root of 2696384 to the nearest integer?
1642
What is the square root of 10937042 to the nearest integer?
3307
What is the eighth root of 16747814 to the nearest integer?
8
What is the tenth root of 630975 to the nearest integer?
4
What is 5252652 to the power of 1/2, to the nearest integer?
2292
What is the square root of 570990 to the nearest integer?
756
What is 606938 to the power of 1/2, to the nearest integer?
779
What is the sixth root of 3895073 to the nearest integer?
13
What is the eighth root of 12878746 to the nearest integer?
8
What is the seventh root of 1300968 to the nearest integer?
7
What is 2706295 to the power of 1/2, to the nearest integer?
1645
What is the square root of 1343960 to the nearest integer?
1159
What is 140798 to the power of 1/9, to the nearest integer?
4
What is 424249 to the power of 1/2, to the nearest integer?
651
What is 158134 to the power of 1/2, to the nearest integer?
398
What is the cube root of 1139373 to the nearest integer?
104
What is the cube root of 158850 to the nearest integer?
54
What is the eighth root of 1937443 to the nearest integer?
6
What is 15941123 to the power of 1/7, to the nearest integer?
11
What is the square root of 342173 to the nearest integer?
585
What is 4537439 to the power of 1/3, to the nearest integer?
166
What is 223469 to the power of 1/3, to the nearest integer?
61
What is 165657 to the power of 1/8, to the nearest integer?
4
What is the ninth root of 489483 to the nearest integer?
4
What is 1020518 to the power of 1/6, to the nearest integer?
10
What is 2975892 to the power of 1/2, to the nearest integer?
1725
What is 1401497 to the power of 1/2, to the nearest integer?
1184
What is the square root of 2411887 to the nearest integer?
1553
What is 367880 to the power of 1/7, to the nearest integer?
6
What is 491318 to the power of 1/3, to the nearest integer?
79
What is 205928 to the power of 1/4, to the nearest integer?
21
What is 32461738 to the power of 1/5, to the nearest integer?
32
What is the cube root of 8362 to the nearest integer?
20
What is 5096554 to the power of 1/2, to the nearest integer?
2258
What is the third root of 462779 to the nearest integer?
77
What is 1728596 to the power of 1/2, to the nearest integer?
1315
What is the seventh root of 15592175 to the nearest integer?
11
What is 17101671 to the power of 1/2, to the nearest integer?
4135
What is 65982 to the power of 1/10, to the nearest integer?
3
What is 802135 to the power of 1/3, to the nearest integer?
93
What is the third root of 24020184 to the nearest integer?
289
What is 118943 to the power of 1/5, to the nearest integer?
10
What is the square root of 79302 to the nearest integer?
282
What is 297654 to the power of 1/3, to the nearest integer?
67
What is the third root of 8412162 to the nearest integer?
203
What is the third root of 1623696 to the nearest integer?
118
What is 98197 to the power of 1/8, to the nearest integer?
4
What is the third root of 85869 to the nearest integer?
44
What is the square root of 22136059 to the nearest integer?
4705
What is 444309 to the power of 1/10, to the nearest integer?
4
What is 1084334 to the power of 1/5, to the nearest integer?
16
What is the square root of 737654 to the nearest integer?
859
What is 30627063 to the power of 1/10, to the nearest integer?
6
What is 23914425 to the power of 1/3, to the nearest integer?
288
What is the third root of 1638930 to the nearest integer?
118
What is 24180963 to the power of 1/7, to the nearest integer?
11
What is 9496876 to the power of 1/3, to the nearest integer?
212
What is the cube root of 134004 to the nearest integer?
51
What is the third root of 2073267 to the nearest integer?
128
What is 1279784 to the power of 1/3, to the nearest integer?
109
What is the square root of 6777837 to the nearest integer?
2603
What is 103192 to the power of 1/2, to the nearest integer?
321
What is the eighth root of 21595102 to the nearest integer?
8
What is the cube root of 5283326 to the nearest integer?
174
What is the square root of 102086 to the nearest integer?
320
What is 3769285 to the power of 1/3, to the nearest integer?
156
What is the seventh root of 779019 to the nearest integer?
7
What is 649166 to the power of 1/2, to the nearest integer?
806
What is 1272468 to the power of 1/2, to the nearest integer?
1128
What is the eighth root of 138800 to the nearest integer?
4
What is the fourth root of 2855843 to the nearest integer?
41
What is 11772812 to the power of 1/5, to the nearest integer?
26
What is the cube root of 2181780 to the nearest integer?
130
What is 78433 to the power of 1/2, to the nearest integer?
280
What is the sixth root of 569824 to the nearest integer?
9
What is 273680 to the power of 1/8, to the nearest integer?
5
What is the tenth root of 134505 to the nearest integer?
3
What is the third root of 11692065 to the nearest integer?
227
What is the ninth root of 12307747 to the nearest integer?
6
What is the square root of 1118866 to the nearest integer?
1058
What is 1768644 to the power of 1/2, to the nearest integer?
1330
What is the third root of 1185099 to the nearest integer?
106
What is 96700 to the power of 1/2, to the nearest integer?
311
What is 70081 to the power of 1/2, to the nearest integer?
265
What is 860737 to the power of 1/2, to the nearest integer?
928
What is the third root of 144281 to the nearest | {
"pile_set_name": "DM Mathematics"
} |
23/40600 and 59/464058.
46405800
Calculate the common denominator of -13/2965686 and 39/4942810.
14828430
Find the common denominator of -95/6 and 13/4418114.
13254342
Calculate the least common multiple of 189207909 and 35502.
378415818
What is the lowest common multiple of 144084 and 3192?
38326344
Find the common denominator of -121/22026030 and 97/4.
44052060
What is the common denominator of 101/46600 and -111/14?
326200
Calculate the common denominator of 47/2622054 and 7/111793.
28842594
Calculate the lowest common multiple of 1254 and 228250.
13010250
What is the lowest common multiple of 11648 and 235872?
943488
Calculate the smallest common multiple of 1726 and 17970.
15508110
Find the common denominator of -83/12084336 and -133/70752.
1619301024
What is the least common multiple of 576 and 25200?
100800
Calculate the lowest common multiple of 70079750 and 625.
350398750
Calculate the common denominator of -109/1599732 and -67/1998.
4799196
What is the least common multiple of 128 and 1496576?
1496576
What is the smallest common multiple of 25380 and 200408?
27055080
Calculate the common denominator of 23/80845533 and 65/324.
323382132
Calculate the common denominator of -169/360 and -163/19666944.
98334720
Calculate the lowest common multiple of 182712 and 4887546.
19550184
Calculate the smallest common multiple of 51440 and 3765408.
18827040
What is the least common multiple of 9532716 and 2383179?
9532716
Calculate the least common multiple of 1109744 and 6.
3329232
Calculate the least common multiple of 60841816 and 53236589.
425892712
Calculate the lowest common multiple of 9773 and 1814071.
52608059
What is the lowest common multiple of 1267284 and 106?
67166052
Calculate the lowest common multiple of 36 and 56911044.
170733132
Calculate the least common multiple of 63243175 and 1110.
379459050
Find the common denominator of -29/4565 and 173/14078460.
14078460
What is the lowest common multiple of 1710 and 29304?
2783880
Calculate the smallest common multiple of 9844 and 276916.
6369068
What is the lowest common multiple of 2 and 14081602?
14081602
What is the lowest common multiple of 1992644 and 431528?
67749896
Calculate the least common multiple of 5940 and 14116680.
155283480
What is the least common multiple of 15296 and 82560?
19731840
Find the common denominator of 17/314744 and 41/23920544.
23920544
Calculate the lowest common multiple of 2 and 284621594.
284621594
What is the smallest common multiple of 558 and 189567?
11753154
Calculate the common denominator of 65/66 and -13/136212.
1498332
Calculate the common denominator of -97/52 and -11/7892892.
102607596
Calculate the lowest common multiple of 4967508 and 54588.
4967508
What is the lowest common multiple of 533393 and 1142985?
8000895
Find the common denominator of 131/253571616 and 91/3540.
1267858080
Calculate the smallest common multiple of 3437670 and 36668480.
110005440
Calculate the common denominator of -13/13781740 and -17/63396004.
316980020
Calculate the common denominator of -95/1830168 and 29/33248052.
199488312
Calculate the lowest common multiple of 102690 and 46200.
22591800
Calculate the lowest common multiple of 1194 and 1411308.
1411308
Calculate the common denominator of 99/37814 and 47/291270.
10776990
What is the common denominator of 12/26995 and -13/28070?
151549930
What is the lowest common multiple of 2170249 and 184340?
564264740
Find the common denominator of -131/44288448 and -41/6228063.
398596032
Find the common denominator of 123/1459150 and 17/928550.
10214050
What is the lowest common multiple of 116118 and 19353?
116118
Find the common denominator of 13/183147050 and 79/21977646.
549441150
What is the smallest common multiple of 1803867 and 141726?
285010986
Calculate the common denominator of 48/109911445 and -97/70.
219822890
What is the common denominator of -119/23556 and 107/103206688?
309620064
Find the common denominator of -37/24161424 and 59/168.
24161424
Calculate the common denominator of -28/9 and -76/165204777.
495614331
What is the common denominator of -9/2212 and 41/1897260?
1049184780
Calculate the common denominator of 109/432 and -47/29290224.
263612016
What is the lowest common multiple of 3410 and 137658972?
688294860
Calculate the common denominator of -91/22354270 and 125/12.
134125620
Calculate the least common multiple of 181073115 and 376167.
1991804265
Calculate the lowest common multiple of 451 and 4687.
2113837
What is the least common multiple of 1332 and 10875492?
402393204
Find the common denominator of 109/19266 and -161/1014.
19266
Calculate the smallest common multiple of 623733 and 31809.
14345859
Calculate the smallest common multiple of 2651056 and 331382.
2651056
Calculate the smallest common multiple of 112 and 3875840.
27130880
Find the common denominator of -67/194176125 and 61/607750.
388352250
Calculate the common denominator of -179/1425000 and -17/10462500.
397575000
Calculate the smallest common multiple of 15041376 and 2611350.
376034400
What is the common denominator of -127/33321354 and 43/279?
3098885922
Calculate the smallest common multiple of 28490049 and 118030203.
826211421
What is the smallest common multiple of 23988 and 695652?
695652
What is the least common multiple of 365898 and 26?
365898
Find the common denominator of 173/3192 and 137/4423104.
84038976
Calculate the smallest common multiple of 3302 and 65338.
8297926
What is the common denominator of 23/47550 and -133/2177790?
10888950
Calculate the common denominator of -8/47 and -53/3597.
169059
What is the least common multiple of 17272 and 1746123?
237472728
Calculate the common denominator of 137/4967700 and -56/15.
4967700
What is the common denominator of 16/4640949 and -65/3609627?
32486643
Calculate the common denominator of -58/44145 and 7/24705.
2692845
Find the common denominator of 79/1508805 and -113/4224654.
21123270
Calculate the common denominator of -137/1961856 and 137/1961856.
1961856
Find the common denominator of 161/163440 and 107/80.
163440
Calculate the smallest common multiple of 25193150 and 26200876.
655021900
What is the common denominator of 85/277179 and 83/1385895?
1385895
What is the common denominator of -185/252126 and -187/504252?
504252
What is the common denominator of 57/1280 and 123/4895360?
9790720
What is the common denominator of -139/312289200 and 22/10843375?
1561446000
Calculate the smallest common multiple of 26738 and 484324.
6474927556
Find the common denominator of -16/3503801 and -28/20527.
45549413
What is the common denominator of -49/2130 and 34/4389?
3116190
What is the smallest common multiple of 136 and 810169?
6481352
What is the lowest common multiple of 237728 and 31312?
24485984
What is the least common multiple of 3288 and 45435228?
90870456
Calculate the lowest common multiple of 12 and 6363598.
38181588
Calculate the common denominator of -34/5907 and 167/5217168.
933873072
What is the smallest common multiple of 143990 and 901510?
763578970
What is the least common multiple of 135376726 and 11963?
947637082
Calculate the least common multiple of 390717 and 2170650.
19535850
Calculate the common denominator of -77/24094324 and -61/2.
24094324
What is the common denominator of -5/694974 and 1/992820?
6949740
Calculate the common denominator of -10/9957 and -125/41640174.
41640174
What is the smallest common multiple of 12557 and 812406?
351771798
Calculate the common denominator of -107/1660716 and 23/79345320.
714107880
Calculate the common denominator of -5/6470703 and -38/12677.
45294921
What is the smallest common multiple of 1004220 and 329958?
23097060
Calculate the lowest common multiple of 192 and 2083076.
99987648
Calculate the common denominator of -67/480 and 131/13570890.
217134240
What is the common denominator of -149/1858884 and -95/50496?
29742144
What is the least common multiple of 174015 and 14179?
1914165
Calculate the least common multiple of 44636 and 108.
1205172
Find the common denominator of 61/6875356 and 115/13512.
41252136
Calculate the least common multiple of 445740 and 1091094.
250951620
Calculate the common denominator of 79/83028 and 17/444444.
7555548
Calculate the lowest common multiple of 258162 and 12138.
307212 | {
"pile_set_name": "DM Mathematics"
} |
base 5.
4041
What is 100111011001 (base 2) in base 15?
b31
What is 195 (base 10) in base 14?
dd
Convert 33c6 (base 15) to base 4.
2223222
What is -15a (base 15) in base 4?
-10312
What is -110011000011011 (base 2) in base 10?
-26139
Convert 132203 (base 4) to base 13.
b75
11200 (base 3) to base 8
176
What is -96 (base 13) in base 15?
-83
Convert 6544 (base 13) to base 9.
21277
Convert -4010 (base 6) to base 10.
-870
1973 (base 11) to base 9
3377
Convert 155 (base 6) to base 9.
78
-208e (base 15) to base 11
-5199
What is -268b (base 13) in base 4?
-1112103
Convert -1cab (base 13) to base 3.
-12222201
321405 (base 6) to base 16
66ad
Convert 1121201 (base 3) to base 16.
49c
Convert -a0 (base 15) to base 5.
-1100
Convert 107 (base 9) to base 14.
64
What is 57a (base 12) in base 2?
1100101110
5752 (base 11) to base 9
11328
Convert -14303 (base 8) to base 12.
-3803
5236 (base 12) to base 6
105310
What is -240514 (base 6) in base 10?
-20926
3558 (base 10) to base 5
103213
What is -41244 (base 5) in base 10?
-2699
Convert 178 (base 12) to base 8.
354
What is 4741 (base 15) in base 9?
22677
-101010110 (base 2) to base 4
-11112
What is 1015 (base 6) in base 5?
1402
Convert 13625 (base 7) to base 14.
1515
1747 (base 8) to base 10
999
Convert 7745 (base 9) to base 11.
4322
-2b8 (base 16) to base 4
-22320
-6320 (base 8) to base 6
-23104
714 (base 14) to base 8
2556
Convert -435a (base 11) to base 12.
-33b4
Convert -1224433 (base 6) to base 9.
-110263
Convert -17625 (base 11) to base 3.
-1020220020
Convert -1308 (base 12) to base 2.
-100001111000
What is 312320 (base 6) in base 11?
17a08
What is -2d45 (base 15) in base 16?
-260c
Convert 213321 (base 4) to base 15.
b53
111102 (base 4) to base 3
1212110
Convert -203 (base 4) to base 8.
-43
Convert 101101101111 (base 2) to base 3.
11000102
Convert 332525 (base 6) to base 16.
6cc5
What is -231110 (base 4) in base 13?
-1421
What is 2000 (base 3) in base 13?
42
What is -19984 (base 12) in base 5?
-2201214
Convert -6 (base 10) to base 7.
-6
Convert -663 (base 12) to base 15.
-429
What is -652 (base 16) in base 12?
-b2a
1111001101 (base 2) to base 9
1301
21502 (base 6) to base 10
2990
Convert 10000101110 (base 2) to base 8.
2056
-15323 (base 6) to base 4
-213003
What is -6a1 (base 16) in base 15?
-782
586 (base 14) to base 8
2112
464 (base 11) to base 10
554
-53417 (base 10) to base 6
-1051145
8223 (base 11) to base 8
25243
-15536 (base 9) to base 11
-7aa7
Convert -3435 (base 6) to base 15.
-395
What is 415234 (base 6) in base 2?
1000001100100110
What is -22723 (base 12) in base 6?
-552443
What is 35 (base 13) in base 5?
134
150 (base 11) to base 9
215
14212 (base 5) to base 2
10010011110
Convert -25793 (base 10) to base 14.
-9585
Convert -7459 (base 14) to base 2.
-100111001100111
What is 2041 (base 6) in base 14?
249
Convert 13013 (base 5) to base 9.
1340
Convert 324014 (base 7) to base 16.
dd1e
-42064 (base 7) to base 6
-115504
Convert 4515 (base 7) to base 14.
845
What is -100111101 (base 3) in base 2?
-1101100001010
What is 733 (base 13) in base 2?
10011001001
Convert 101101 (base 2) to base 16.
2d
24a8 (base 13) to base 5
131313
1002000200 (base 3) to base 10
21159
What is 91919 (base 10) in base 7?
531662
What is 2d9 (base 14) in base 16?
247
What is 382b (base 13) in base 2?
1111100101100
Convert -1ab (base 16) to base 4.
-12223
What is 6 (base 7) in base 12?
6
1021133 (base 5) to base 2
100001010010011
What is 28403 (base 9) in base 6?
225133
Convert 1000100101000 (base 2) to base 9.
6020
Convert 12003231 (base 4) to base 11.
17708
Convert 13a (base 14) to base 5.
1443
199b (base 12) to base 7
12110
205 (base 6) to base 14
57
Convert 773 (base 8) to base 6.
2203
Convert 112100 (base 3) to base 7.
1062
24b6a (base 12) to base 3
2112122201
Convert -172 (base 11) to base 14.
-104
533534 (base 7) to base 15
1c642
Convert 426 (base 8) to base 6.
1142
Convert 10001010001 (base 2) to base 5.
13410
-278 (base 10) to base 15
-138
What is -12502 (base 10) in base 6?
-133514
5a00 (base 11) to base 3
101210022
Convert 130113 (base 6) to base 14.
43a5
Convert 861 (base 11) to base 2.
10000001011
Convert -31600 (base 7) to base 3.
-101202101
-2351 (base 7) to base 16
-365
55054 (base 6) to base 13
35c2
What is 8122 (base 11) in base 3?
112210202
What is 250 (base 13) in base 10?
403
What is 1101010011011 (base 2) in base 15?
2041
What is 22253 (base 8) in base 15?
2bac
1cef (base 16) to base 5
214112
Convert 5ce9 (base 16) to base 12.
11921
Convert -1021100222 (base 3) to base 4.
-12013133
Convert -335054 (base 6) to base 4.
-12322222
Convert 1001011221 (base 3) to base 12.
ba81
What is -84cc (base 13) in base 7?
-104463
-240115 (base 6) to base 5
-1131113
Convert 17237 (base 8) to base 5.
222324
Convert 7620 (base 8) to base 12.
2380
-385 (base 13) to base 7
-1540
What is 10230233 (base 4) in base 5?
1103442
Convert -5807 (base 9) to base 10.
-4300
13205 (base 6) to base 16
7e5
Convert -2088 (base 13) to base 3.
-20011220
Convert -11233 (base 5) to base 7.
-2246
Convert -677 (base 13) to base 11.
-921
Convert 12a3 (base 13) to base 4.
221230
1245 (base 16) to base 13
218a
651 (base 12) to base 11
771
-168 (base 15) to base 4
-11003
b15 (base 13) to base 10
1877
What is -174 (base 13) in base 4?
-10020
Convert 5143 (base 6) to base 4.
101313
-1505 (base 7) to base 12
-415
What is 1104 (base 5) in base 6?
414
Convert -2100022 (base 3) to base 7.
-4661
What is b2c2 (base 14) in base 6?
354202
309 (base 11) to base 13
228
Convert -15004 (base 6) to base 14.
-c20
Convert 2001 (base 5) to base 3.
100022
Convert 2200 (base 5) to base 2.
100101100
Convert -1105 (base 7) to base 15.
-1b7
Convert -240503 (base 6) to base 5.
-1132134
What is -1948 (base 12) in base 10?
-3080
Convert -435 (base 12) to base 6.
-2505
-28322 (base 11) to base 14
-1099b
Convert -220211 (base 4) to base 14.
-d37
2331222 (base 5) to base 6
525343
Convert -21625 (base 8) to base 2.
-10001110010101
What is -3452 (base 7) in base 14?
-662
Convert 33a (base 15) to base 11.
604
2c4 (base 15) to base 16
27a
Convert -88b (base 13) to base 16.
-5bb
Convert 2414 (base 7) to base 15.
3e8
2121103 (base 4) to base 14
380b
Convert -1539 (base 10) to base 13.
-915
What is -1002202 (base 3) in base 8?
-1443
Convert -53317 (base 8) to base 14.
-8155
-22887 (base 11) to base 6
-412451
-2130012 (base 5) to base 3
-1211201212
-111101101100110 (base 2) to base 11
-21809
What is -12332 (base 5) in base 10?
-967
What is 2162 (base 7) in base 9?
1055
Convert -269 (base 12) to base 10.
-369
Convert 7842 (base 9) to base 7.
22610
What is -a808 (base 12) in base 2?
-100100000001000
What is 16012 (base 7) in base 14?
18b2
Convert 1334 (base 5) to base 9.
263
-281 (base 14) to base 11
-41a
What is -60 (base 13) in base 8?
-116
Convert -101010011010000 (base 2) to base 14.
-7cac
Convert 441332 (base 5) to base 14.
578d
What is d8a9 (base 14) in base 9?
56253
What is 849 (base 16) in base 12?
1289
-532224 (base 6) to base 10
-43288
46372 (base 11) to base 2
10000010110110000
Convert -1b2 (base 13) to base 8.
-472
What is 121133 (base 5) in base 6?
33011
What is -4ce (base 15) in base 5?
-13334
What is 24060 (base 9) in base 13?
742b
What is -a516 (base 11) in base 7?
-55422
Convert -a835 (base 11) to base 10.
-14316
What is -61295 (base 10) in base 2?
-1110111101101111
What is -21 (base 15) in base 9?
-34
What is 40179 (base 10) in base 6?
510003
Convert -2265 (base 7) to base 2.
-1100111111
Convert bb0a (base 12) to base 15.
6187
What is -221011 (base 4) in base 5?
-41004
Convert -502001 (base 6) to base 5.
-2224223
Convert -10246 (base 7) to base 13.
-11cb
Convert 343 (base 11) to base 16.
19a
Convert -1111000101 (base 2) to base 10.
-965
What is 31300 (base 4) in base 11?
730
What is 29c2 (base 13) in base 14?
22db
42503 (base 6) to base 15
1ab9
3626 (base 11) to base 8
11213
Convert 1933 (base 11) to base 5.
34311
Convert 45430 (base 6) to base 11.
4912
What is 1000001110 (base 2) in base 13?
316
What is 142 (base 9) in base 12?
9b
What is 1154 (base 6) in base 13?
190
Convert -1254 (base 16) to base 15.
-15cc
Convert -3237 (base 8) to base 2.
-11010011111
What is 22c43 (base 13) in base 9?
106215
Convert 110001011000101 (base 2) to base 6.
313021
-1062 (base 9) to base 11
| {
"pile_set_name": "DM Mathematics"
} |
.7390973
Calculate 46.3 + 211271340411.
211271340457.3
What is the difference between 190.7 and -10139.5378?
10330.2378
What is -0.03444 less than 43143506?
43143506.03444
What is -2480 less than 1089192405?
1089194885
Work out 34.71973648 - 8079.
-8044.28026352
Work out -12537622 - -4.03852.
-12537617.96148
-17.2+-1355680.73938
-1355697.93938
Subtract 0.0086 from -16650146740.
-16650146740.0086
What is the distance between -48582459943 and -11.358?
48582459931.642
What is 55.55587942756 less than -3?
-58.55587942756
What is 12.87 - -16.87443065?
29.74443065
What is -2.8111 minus 148.15443?
-150.96553
-459.97 + -4613.029
-5072.999
Calculate 0.1 - 12.7800041.
-12.6800041
Calculate -2.53229 + 1.69291626.
-0.83937374
What is -17330 minus 0.1293811819?
-17330.1293811819
What is -6919 minus -5359.8276?
-1559.1724
Sum -441477720 and -8780.
-441486500
Add -0.3 and 19388150967.
19388150966.7
Total of -184.46491089 and 7.7.
-176.76491089
Calculate 57424687788877 - 5.
57424687788872
Total of -655406823712 and -0.419.
-655406823712.419
9452 - -211.096
9663.096
Total of 0.037455211529 and 0.3.
0.337455211529
Calculate 21058620 + -16802.
21041818
Put together 220.757064 and 34048.6.
34269.357064
What is -1037595136.051 take away -0.06?
-1037595135.991
-650225050893 - -407
-650225050486
What is -0.137595574 less than -896?
-895.862404426
Calculate -81872.7 - 25783.801.
-107656.501
What is 137656 less than 193.6139?
-137462.3861
-16163542+-61679.06
-16225221.06
Add together 521885111 and 14622.
521899733
What is 3 plus -6.14783267478?
-3.14783267478
Add -69.043118 and -1278.
-1347.043118
Add 264502462.7 and -0.155.
264502462.545
Sum -15506128 and 34361.
-15471767
Put together 0.1 and 82357731897.
82357731897.1
Total of 251387 and 111969967.
112221354
What is -3188.970876738 - 86?
-3274.970876738
Subtract -167403640849 from -75.
167403640774
What is -31528.490198 less than 4501?
36029.490198
Work out 7513.61 + -43597.48.
-36083.87
What is -64040449732455 + -5?
-64040449732460
Calculate 963952.651 - 0.00589.
963952.64511
Calculate -2.0533 + -9180381.
-9180383.0533
Put together 139.9 and 16302894923.
16302895062.9
Calculate 24.41 - -4637605913.
4637605937.41
176539192 + 0.0280549
176539192.0280549
Calculate 24.615251 + 14813.
14837.615251
What is 5660074767 take away 15?
5660074752
What is 9595 + 2399082208?
2399091803
What is 107 + -48618.93985?
-48511.93985
What is the difference between 9.003939 and -47169?
47178.003939
0.216 - 52670.757
-52670.541
Add 428908848952536 and 0.5.
428908848952536.5
What is the difference between -5 and -10.3059742903104?
5.3059742903104
Total of -36587672255 and -0.1.
-36587672255.1
6.289743205 - 1561.35
-1555.060256795
What is -0.2 minus -521728423769?
521728423768.8
Subtract 0.157765747 from -692.
-692.157765747
1.63 + -140848274996
-140848274994.37
What is the difference between 0.6 and -28729590299033?
28729590299033.6
Sum 35906774634 and 2.115.
35906774636.115
Put together -45942491834 and -0.32.
-45942491834.32
Subtract -39 from -301.695158573.
-262.695158573
What is 438284 plus -0.151288?
438283.848712
Calculate 53 - 413397430369.
-413397430316
Calculate -150155.2496 + -6.469.
-150161.7186
Sum -0.69959 and 16865722.
16865721.30041
Work out 4.7679 - 94474.68.
-94469.9121
What is -14830 minus 10604961.6?
-10619791.6
1654018.19 - -5587957
7241975.19
What is the distance between -0.17 and 36834946.871?
36834947.041
Work out -9 + -114982556.583.
-114982565.583
-1522233904771 + 0.4
-1522233904770.6
What is -372729 - 2202.5216?
-374931.5216
6 - 3014312.357
-3014306.357
What is 6761546561695 less than 0.08?
-6761546561694.92
Calculate -0.06374 - 305559180.
-305559180.06374
Calculate 634104426151.3 + -0.2.
634104426151.1
Put together 2.6 and -20.36596415897.
-17.76596415897
Calculate -58 - 70171.0576956.
-70229.0576956
Subtract 0.51759 from -131089909.
-131089909.51759
Subtract -5.7361 from -4983537.
-4983531.2639
What is 0.057 - 1804029.19925?
-1804029.14225
What is 0.029 - 110.471369?
-110.442369
What is 0.2901 take away 27861093787?
-27861093786.7099
Total of 634162740372 and 48.
634162740420
What is 2028 - -86.15343?
2114.15343
Subtract 8748878091435 from -5.
-8748878091440
Work out -2077 - -126390.6685.
124313.6685
Total of 0.0394280566984409 and 0.4.
0.4394280566984409
-4329785790997 - -4
-4329785790993
What is the distance between -9.50602432141 and -5.8?
3.70602432141
Add together -0.19 and -15429138176.
-15429138176.19
What is -0.326 less than -166442463700?
-166442463699.674
-0.32+0.07130687029513
-0.24869312970487
Work out 17589 - -85.081.
17674.081
Add together -186 and 38059586241.
38059586055
What is 7 - -3.308203973888?
10.308203973888
What is -156.308 less than -7428131?
-7427974.692
Work out 24 + 11634.852886464.
11658.852886464
Add 105023.1185 and -124.
104899.1185
Total of 241.821082 and -570.
-328.178918
Add together -80.93 and -34838019.
-34838099.93
What is 16657079.24621 less than 0.05?
-16657079.19621
What is the distance between -48560571.695878 and -3?
48560568.695878
-471 + -92063124776
-92063125247
1914629035 + 0.373537
1914629035.373537
What is the difference between -338669 and -27.68439?
338641.31561
14499.41 - -7.8526
14507.2626
Put together -0.5 and -476381651.08.
-476381651.58
Add 437679509 and -0.0170593.
437679508.9829407
What is the distance between 0.92374943427 and 0.12?
0.80374943427
-3760.1726 + 122.03
-3638.1426
What is 242.2 - 15.1028407?
227.0971593
Add together 33928009 and 1446.144.
33929455.144
What is -0.2 plus 128690489470?
128690489469.8
Add 135060411 and 742.
135061153
What is 96.792121 minus -4793?
4889.792121
Sum 126351 and -72130.
54221
Work out -4513.2481001023 - -0.1.
-4513.1481001023
Total of -0.1 and -0.01400354800798.
-0.11400354800798
Work out -412 + -43.65567402.
-455.65567402
What is 1.189646 plus -18056432?
-18056430.810354
Put together 234689 and -0.06602204.
234688.93397796
Sum -6664726679 and 0.2.
-6664726678.8
What is the distance between -70420987 and 29.962?
70421016.962
Calculate -18.11061 - -16.52826.
-1.58235
What is 0.058 minus -39.96551648132?
40.02351648132
What is 604 plus -2990781841.7?
-2990781237.7
What is -266999331 minus -865113?
-266134218
What is 100460 plus 50.18381?
100510.18381
What is 14 less than 45829807192?
45829807178
Calculate 23710447782 + 3.443.
23710447785.443
Calculate -6337 + 37763356707.
37763350370
What is -15648032 plus 12081?
-15635951
What is 0.5 + -1559548507012?
-1559548507011.5
What is -0.1 take away 10742309978083?
-10742309978083.1
-7225.12 - -1131940670
1131933444.88
What is -4487.186335136 less than 1?
4488.186335136
Add together 20.5 and -4679530197.
-4679530176.5
Add -596708116102 and 0.2.
-596708116101.8
What is -54285746.6182 + -0.03?
-54285746.6482
What is the difference between 1549.3 and -3176398445?
3176399994.3
-26953371210 - -4
-26953371206
What is -120 less than -21941297732?
-21941297612
Work out -997.054825363 + -0.047.
-997.101825363
Sum 0.5 and -18366670885.
-18366670884.5
Total of -10093662 and 0.2829.
-10093661.7171
What is 75656 minus 176832?
-101176
Add together -4971785.1077 and 152.
-4971633.1077
Calculate -2637396577 - 0.545.
-2637396577.545
What is 180.6 take away -2736859376?
2736859556.6
What is 0.161228510018895 minus -0.5?
0.661228510018895
Sum -84272192.8 and -0.03498.
-84272192.83498
-3294264765 + 24790
-3294239975
Add -20007102781301 and -0.1.
-20007102781301.1
What is -1.875 minus -822953564?
822953562.125
Add together 14609747 and -49.637.
14609697.363
Add together -0.109 and -193303161799.
-193303161799.109
2.25667284 - 119.89
-117.63332716
What is -73849146490 - 1.09?
-73849146491.09
Subtract 23612213 from 1239356.
-22372857
Add 0.2 and -3592383775086.
-3592383775085.8
What is -8577670.9195 + 369?
-8577301.9195
-0.1+-117647319717704
-117647319717704.1
Sum 2204.25318 and 16555.
18759.25318
What is 1762244755184 less than 1?
-1762244755183
What is -524540728861 plus 0.0187?
-524540728860.9813
What is -15 plus -0.845379358992?
-15.845379358992
Total of -0.06511 and -78731285477.
-78731285477.06511
What is 348330206 + 2935.237?
348333141.237
Work out -1.175854 - 5576117.
-5576118.175854
Subtract -0.31 from -0.13890638292.
0.17109361708
Add together 1167755000847 and 4.
1167755000851
What i | {
"pile_set_name": "DM Mathematics"
} |
ivative of 1/40*f**5 + 0*f**2 - 10*f + k*f**3 + 1/24*f**4 + 0. Factor s(b).
b**2*(b + 1)/2
Let q = -42848 + 42850. Factor 1/4*c**q - 1/8*c**3 + 1/2*c - 1.
-(c - 2)**2*(c + 2)/8
Let f be (-354)/(-570) - ((-28)/(-20))/((-154)/(-22)). Suppose -f*v + 0*v**2 + 6/19*v**4 + 14/19*v**3 + 0 = 0. Calculate v.
-2, -1, 0, 2/3
Let u be (3*4/24)/(2/32). Suppose z - 3*z = -u. Find x such that 26*x - x**z - 2*x**3 - x**3 - 3*x**2 - 27*x = 0.
-1, 0
Let a be 211484/114660 + (-2 - 23/(-9)). What is h in 54/5*h - a*h**2 - 24/5 = 0?
1/2, 4
Let z(f) be the first derivative of f**5/2 - 10*f**4 + 60*f**3 - 160*f**2 + 200*f - 3628. Solve z(n) = 0.
2, 10
Let b(g) be the first derivative of -49*g**4/3 - 27664*g**3/9 - 15712*g**2/3 - 8960*g/3 - 9397. Determine n so that b(n) = 0.
-140, -4/7
Suppose 4*o + 55*b = 51*b + 20, 5*o + b - 5 = 0. Find u, given that o - 4/5*u**2 + 0*u = 0.
0
Find b such that -84*b**2 - 1/5*b**4 + 225 + 130*b + 54/5*b**3 = 0.
-1, 5, 45
Let y = 2675/10652 - 3/2663. Factor 3/2*u**2 + y + u**3 + 1/4*u**4 + u.
(u + 1)**4/4
Let b(x) = -x**2 - x + 1. Let w(g) = -3*g + 3*g**2 + 0*g - 3 + 4. Let s(h) = b(h) + w(h). Determine i so that s(i) = 0.
1
Suppose 29*k = -2*x + 35*k - 14, 4*x = k + 5. Factor -2/5*q**x + 16/5*q - 32/5.
-2*(q - 4)**2/5
Let x(b) be the first derivative of 9*b**4/4 - 49*b**3/2 + 63*b**2 - 54*b + 725. Determine z so that x(z) = 0.
2/3, 3/2, 6
Let t(p) be the second derivative of -5*p**8/336 + 5*p**7/42 - p**6/3 + p**5/3 + 34*p**2 + 2*p + 62. Let j(o) be the first derivative of t(o). Factor j(a).
-5*a**2*(a - 2)**2*(a - 1)
Let d be ((-2)/(-6)*-1)/(54112/(-40584)). Suppose 2*q + 13 = -5*j - 7, -5*q - 8 = 2*j. Factor -s**4 - 1/4*s**5 + q - d*s - 3/2*s**3 - s**2.
-s*(s + 1)**4/4
Let c(a) be the second derivative of a**6/6 - 10*a**5 + 745*a**4/12 - 455*a**3/3 + 180*a**2 + 3*a + 543. Factor c(s).
5*(s - 36)*(s - 2)*(s - 1)**2
Let q be (1 - 1)/(1 + (3 - 5)). Determine x so that 114*x**3 + q*x**4 + 3*x**4 - 99*x**3 = 0.
-5, 0
Let z be 64/3 + (-15)/45. Let p(t) = t**2 - 21*t + 8. Let m be p(z). Factor -12*h + 5 - 8 + m*h**2 - 5.
4*(h - 2)*(2*h + 1)
Let j(v) be the first derivative of 2*v**3/39 + 120*v**2/13 + 7200*v/13 + 1845. Factor j(o).
2*(o + 60)**2/13
Let g be 71/(2059/377) + 282/(-22). Suppose -8/11*a + 10/11 - g*a**2 = 0. Calculate a.
-5, 1
Let k(c) be the second derivative of 16*c + 1/1440*c**6 - 1/288*c**4 + 10*c**2 + 0 + 0*c**3 + 0*c**5. Let f(i) be the first derivative of k(i). Factor f(w).
w*(w - 1)*(w + 1)/12
Let m(f) be the first derivative of f**5/5 + 23*f**4/4 - 29*f**3/3 - 123*f**2/2 - 72*f - 2278. Determine c so that m(c) = 0.
-24, -1, 3
Suppose 256*l - 424*l**2 - 165/2*l**4 + 302*l**3 - 56 + 9/2*l**5 = 0. Calculate l.
2/3, 1, 2, 14
What is x in -1010*x - 1020100 - 1/4*x**2 = 0?
-2020
Suppose 7*n - 87 - 123 = 0. Determine f so that 17*f - 31*f + 5*f**2 - n + 10*f + 9*f = 0.
-3, 2
Let v be (6/9 - 2/3)/2. Let g be v + 7 + -6 + 3. Determine j, given that -11*j**2 - 3*j**3 + g*j**3 - 5*j**3 - j**2 + 16 = 0.
-2, 1
Let c be 2/(-1) + -34 + 39. Solve 3*z**4 + z**3 - 103*z**2 + 101*z**2 - z**c + 3*z**3 - 2*z**5 = 0.
-1, 0, 1/2, 2
Let r(f) be the second derivative of -4/5*f**5 + 2/3*f**4 + 0*f**2 + 2*f**3 + 0 - 45*f - 4/15*f**6 + 2/21*f**7. Factor r(x).
4*x*(x - 3)*(x - 1)*(x + 1)**2
Suppose 0 = -5*b + o + 12, -3*b = 6471*o - 6470*o - 4. Factor -1/2*i**b - 23 - 25/2*i.
-(i + 2)*(i + 23)/2
Let a = -9/1345 - -162763/2690. Find z, given that -23/2*z**3 - 143/2*z**2 + 0 - a*z - 1/2*z**4 = 0.
-11, -1, 0
Factor 2/11*u**3 + 284/11 + 148/11*u**2 + 430/11*u.
2*(u + 1)*(u + 2)*(u + 71)/11
Let w be 450/945*(-14)/(-30). Let g(h) be the first derivative of -7/3*h**4 - 21 + 0*h**2 - 4/3*h**5 - 4/3*h**3 - w*h**6 + 0*h. Factor g(p).
-4*p**2*(p + 1)**2*(p + 3)/3
Factor -750/17*o + 44 + 2/17*o**2.
2*(o - 374)*(o - 1)/17
Let b(k) be the second derivative of -k**7/252 + 7*k**6/60 - 19*k**5/60 + 2*k - 741. Factor b(z).
-z**3*(z - 19)*(z - 2)/6
Factor 538/19 - 2/19*g**2 - 536/19*g.
-2*(g - 1)*(g + 269)/19
Factor 5 - 4*h**3 - 22 - 9 + 44*h - 22 + 8*h**2.
-4*(h - 4)*(h - 1)*(h + 3)
Let l be ((-10)/(-3))/(120/432). Let q be (-12)/16*-2*16/l. Solve -1/5*i**3 + 0*i**q + 0 + 1/5*i = 0 for i.
-1, 0, 1
Let f be (735/243 + -3)/((-2334)/(-21006)). Solve -f*l**4 - 16/9*l + 0 - 8/3*l**2 - 4/3*l**3 = 0.
-2, 0
Let a be (-36)/(-108)*(-11 - -15). Solve 568/3*m - 20164/3 - a*m**2 = 0.
71
Let w be -30*(-25)/375*1*6. Suppose b + 7*q + 20 = w*q, 0 = -3*q + 12. Suppose 1/2*n**4 + 0*n**3 + b - 3/2*n**2 - n = 0. Calculate n.
-1, 0, 2
Let v(s) be the third derivative of s**6/60 + 676*s**5/15 - 4*s**2 - 16*s. Factor v(b).
2*b**2*(b + 1352)
Let o = 83 - 27. Let h = 59 - o. Factor 4*x + 8*x + 4*x - 2*x**h - 4*x**4 - 10*x**3.
-4*x*(x - 1)*(x + 2)**2
Let y(t) be the third derivative of -45*t**2 + 1/100*t**6 + 4/75*t**5 - 1/840*t**8 - 2/525*t**7 + 0*t + 0*t**3 - 2 + 1/15*t**4. Suppose y(i) = 0. Calculate i.
-2, -1, 0, 2
Let v(y) = -y**5 - 3*y**4 - y**3. Let t(k) = 8*k**5 + 44*k**4 + 73*k**3 + 10*k**2 - 75*k - 45. Let u(d) = t(d) + 3*v(d). Find b such that u(b) = 0.
-3, -1, 1
Let o = -778637/5 + 155729. Let 20*p + 48/5 + o*p**2 = 0. Calculate p.
-12, -1/2
Let r(h) be the third derivative of -11/24*h**6 + 5/8*h**4 - 10*h**2 + 5/42*h**7 + 0*h**3 + 0*h + 0 - 13/12*h**5. Solve r(a) = 0.
-1, 0, 1/5, 3
Let c(d) be the first derivative of d**4/5 - 92*d**3/15 - 2*d**2/5 + 92*d/5 - 539. Let c(r) = 0. Calculate r.
-1, 1, 23
Let c = 26205/581 - 3708/83. Factor 21 + c*a**2 + 6*a.
3*(a + 7)**2/7
Let d = 479 - 476. Factor 678 + 84*b**3 - 43*b**d + 765*b - 3 - 38*b**3 + 93*b**2.
3*(b + 1)*(b + 15)**2
Let i(f) be the first derivative of -f**3/12 + 11*f**2/4 - 57*f/4 - 795. Factor i(t).
-(t - 19)*(t - 3)/4
Let p be (-66)/(-20) - (-3)/6 - 116/145. Factor -1/6*w**5 + 2*w + 1/3*w**2 + w**4 - 11/6*w**p - 4/3.
-(w - 2)**3*(w - 1)*(w + 1)/6
Suppose 0 = 7*o - 2*o - 15. Let x be -3*(-72)/(-27) + 42. Determine f so that x + 6*f**2 + 3*f**3 + o*f - 34 + 0*f = 0.
-1, 0
Let u(i) be the third derivative of i**6/720 + 7*i**5/120 + 95*i**4/144 + 25*i**3/12 + 9*i**2 - 20. Factor u(c).
(c + 1)*(c + 5)*(c + 15)/6
Suppose -10998 = -3302*z + 770*z + 19386. Let -z*k + 1/5*k**4 + 36/5 + 37/5*k**2 - 2*k**3 = 0. Calculate k.
2, 3
Let y(m) be the first derivative of -5/3*m**3 + 322 - 60*m - 65/2*m**2. Solve y(n) = 0.
-12, -1
Let i(j) be the first derivative of j**6/1020 - j**5/255 - j**4/51 + 8*j**3/51 + 6*j**2 - 25. Let u(o) be the second derivative of i(o). Factor u(w).
2*(w - 2)**2*(w + 2)/17
Let w(b) = 3*b**2 + 16*b + 15. Suppose 7*p + 16 = 23*p. Let d(q) = q**2 + 2*q - 1. Let t(u) = p*w(u) - 5*d(u). Solve t(n) = 0.
-2, 5
Let f(j) be the third derivative of -j**2 + 16 - 1/600*j**6 + 1/24*j**4 + 0*j - 1/5*j**3 + 1/150*j**5. Let f(b) = 0. Calculate b.
-2, 1, 3
Let l = -2013 + 2015. Suppose 1/2*u**4 + 0*u + 15/4*u**5 + 1/2*u**l + 0 - 11/4*u**3 = 0. What is u?
-1, 0, 1/5, 2/3
Let l = -65 - 175. Let o be 7/5 - 16/(l/(-9)). Solve -p - 2/5 + o*p**3 + 1/5*p**5 + 4/5*p**4 - 2/5*p**2 = 0.
-2, -1, 1
Let c(m) be the third derivative of -87*m**6/28 + 2311*m**5/210 + 149*m**4/21 + 4*m**3/21 - 243*m**2 - m + 1. Let c(f) = 0. Calculate f.
-2/9, -1/145, 2
Let x = 156 - 152. Suppose 2*k - 38 = -2*w, 9*k = 4*k - w + 99. Factor -12*i**5 - 35*i**2 + 17*i**2 + k*i**4 + 14*i**2 - x*i**3.
-4*i**2*(i - 1)**2*(3*i + 1)
Let n be 2/(-3) - (-102)/18. Factor 0*q**4 - 4*q**4 + 4*q**2 + 4*q**n + 12 - 12 - 4*q**3.
4*q**2*(q - 1)**2*(q + 1)
Factor 249*o - 4*o**2 + 118*o + 317*o.
-4*o*(o - 171)
Let w(d) be the third derivative of d**6/24 + 105*d**5/4 + 40545*d**4/8 - 126405*d**3/2 - 9*d**2 - 28*d - 4. Factor w(g).
5*(g - 3)*(g + 159)**2
Let a = -222513 + 890055/4. Let r be 6/(-15) + 19/10. Factor r + 3/4*v**2 - 1/4*v**4 - a*v**3 + 11/4*v.
-(v - 2)*(v + 1)**2*(v + 3)/4
Let q(b) be the third derivative of b**6/180 - b**5/4 - 4*b**4/3 + 49*b**3/3 - 212*b**2. Let v(j) be the first derivative of q(j). Solve v(d) = 0 for d.
-1, 16
Let w(l) be the second derivative of -l**4/54 + 104*l**3/27 + 35*l**2/3 - 12*l - 4. Factor w(o).
-2*(o - 105)*(o + 1)/9
Let n(y) be the third derivative of -y**8/420 - y**7/70 + 2*y**5/15 - 13*y**3/3 + 85*y**2. Let q(a) be the first derivative of n(a). Factor q(w).
-4*w*(w - 1)*(w + 2)**2
Let g be (-17)/(-187)*-88 + (-22)/(-2). Factor | {
"pile_set_name": "DM Mathematics"
} |
c*t**4 + v*t**3 and give v.
1
Express (13*w - 37*w + 13*w + w**2)*(3 + 1 - 2)*(3 - 2 + 15)*(26 + 14 + 16) in the form b*w + k*w**2 + f and give k.
1792
Express (55*o**3 - 26*o**3 - 28*o**3 - 22*o**2)*(-1 + 8 + 8)*(0*o + 2*o - 4*o) as a*o**2 + t*o + z + b*o**3 + x*o**4 and give b.
660
Rearrange (4*y**2 - y**2 + y**2)*(262*y + 2514*y - 127*y) to the form t + i*y**2 + p*y**3 + j*y and give p.
10596
Express -10057*v + 2*v**2 + 30412 + 30422 + 30420 - 91254 in the form a*v**2 + m*v + o and give m.
-10057
Rearrange (-40 + 40 + 3*c)*(-2 + 0 + 4) + (20 + 21 - 10)*(0*c - 3*c + 5*c) to y + t*c and give y.
0
Rearrange (-f**3 - 3*f**3 + 0*f**3)*(-10 + 7 - 6) + (1 - 6 + 2)*(-2*f**3 + 2*f**3 + f**3) to the form d*f**3 + s + c*f + o*f**2 and give d.
33
Express -11*w**4 + 28*w - 2 + 3*w**4 - w**2 + 6*w**4 + 6*w**3 + 19*w - 38*w as f*w**3 + o + x*w**2 + z*w + i*w**4 and give x.
-1
Rearrange -302*m + 108*m**2 + 907*m - 308*m + 20 - 299*m to the form z + k*m + r*m**2 and give r.
108
Express 42142*y - 16 - 21458*y - 21498*y as j + w*y and give j.
-16
Rearrange 4552*h**2 + 2136*h**2 + 560*h**2 to u*h + f*h**2 + w and give f.
7248
Express -4*c + 0 + 358*c + 2 - 17*c + 2 as y + o*c and give y.
4
Express 175*v - 298*v + 932*v - 117*v - 78*v in the form r*v + p and give r.
614
Rearrange -23*a**3 - 16*a - 144785*a**2 + 144795*a**2 + 18*a - 4*a**4 to the form m*a**2 + l*a**4 + c*a**3 + x + i*a and give l.
-4
Express -7*q**3 + q**3 + 5*q**3 + (333 - 127*q**2 - 333)*(7*q - 7 - 11*q + 9*q) in the form d*q**2 + t*q**3 + k + f*q and give d.
889
Express (0 - 6 - 19)*(-14 - 1 - 63)*(g - g - 2*g**4) in the form h*g**4 + c + o*g + p*g**2 + v*g**3 and give h.
-3900
Express (-6 + 6 + 1)*(1632*w**2 + 77*w**3 - 1632*w**2) + (-w**3 - 3*w + 3*w)*(-4 - 3 + 4) as s*w**3 + m*w + a*w**2 + i and give s.
80
Express (-o**2 + 2 - 2)*(-2117 + 655 - 1663) in the form s + l*o + t*o**2 and give t.
3125
Rearrange ((-1 + 1 + 6)*(2 + 0 - 1) + 0 - 11 + 0)*(0*c**3 - 4*c**3 - 31*c**4 + 7*c**3 - 3*c**3) to d*c**3 + t*c + a*c**2 + m + x*c**4 and give x.
155
Rearrange (4 + 2 - 4*l - 4)*(l**3 + 0*l**3 - 3*l**3) - 67*l**4 + 61*l**2 - 61*l**2 to the form m + n*l + a*l**2 + g*l**3 + i*l**4 and give i.
-59
Rearrange -w**2 + 463516 - 1022*w - 463514 - 561*w - w**2 to the form r + p*w + u*w**2 and give r.
2
Express (0 - 5 + 3)*(-4*f + 488 - 488)*(-8*f**2 + 14*f**2 - 58*f**2) as s*f**2 + i*f + h + l*f**3 and give l.
-416
Rearrange 715*v**3 - 711*v**3 - 109 - 605*v**2 + 602*v**2 to the form c*v**2 + m*v**3 + s + u*v and give u.
0
Rearrange 51*c**3 + 18 + 61 - 2*c + 9*c**2 - 77 to p*c**2 + r*c**3 + o + k*c and give o.
2
Rearrange -7 + 18*z - 1266*z**2 + 643*z**2 + 624*z**2 to the form v*z**2 + p + w*z and give v.
1
Express (-460*b - 6 - 3 + 491*b)*(-4 + 6 + 3) as n*b + l and give l.
-45
Express -79 - 2*w**2 - 1059*w + 2117*w - 1071*w in the form l*w + d*w**2 + b and give l.
-13
Rearrange 2600*l**2 - 252*l + 461*l - l**3 - 211*l to t*l**2 + g + j*l**3 + x*l and give x.
-2
Rearrange 230*h**2 - h**4 + 1 + 1132*h**2 + 257*h**2 + 2*h**3 - 2*h**3 to the form b*h + s*h**3 + m*h**4 + n*h**2 + q and give m.
-1
Express -83*h**3 + 3730 - 3729 + 81*h**3 - 3*h**2 - 18*h in the form l*h + j + a*h**3 + b*h**2 and give l.
-18
Express (-6287 - 24376 + 4087 - 1161)*(-2*l**2 + 2*l**2 - 2*l**2 + 2*l - l**2 - 2*l + (1 - 1 - 2)*(l**2 + 2*l - 2*l)) as a*l**2 + i + w*l and give a.
138685
Rearrange 0*y**2 + 152 - 153*y + 50*y + 54*y + y**2 + 44*y to the form l*y + g*y**2 + n and give l.
-5
Rearrange (-2*d + 2 - 4 - 1)*(-614*d**2 + 24586*d - 24586*d) to u*d**2 + q*d**3 + s + j*d and give q.
1228
Rearrange 26643*w**2 - 27920*w**2 + 5 + 0 - 5 - w to y + q*w + h*w**2 and give q.
-1
Rearrange -16*v**2 - 111*v**4 - 2*v - 75 - 2*v**2 - 2*v + 5*v + 110*v**4 to r*v**4 + w + s*v**2 + a*v + b*v**3 and give s.
-18
Express -14*b**2 - 3*b**2 + 38 + 21*b**2 + 0*b**2 as w*b + c*b**2 + s and give s.
38
Rearrange 0 - i - 3*i**4 - 12*i**3 + 8*i - 6*i + 46 - 19 to the form o*i**3 + g*i**4 + t*i**2 + n + w*i and give o.
-12
Express -529 + 3*d**2 + 254 - 1107 - 737 + 299 in the form c*d + h + y*d**2 and give h.
-1820
Express -9513*x**2 + 4238*x**2 + 161 - 161 - 7699*x**2 in the form l + f*x**2 + w*x and give f.
-12974
Rearrange (0*j + 2*j - 4*j)*(-6517 + 5378 + 6010) to v + b*j and give b.
-9742
Rearrange (z - 5 - 2 + 6)*(-1977 + 2484 - 1551 + z) to w*z + t*z**2 + x and give t.
1
Rearrange (-17*q + 27*q + 24*q)*(180 - 80 - 87 - 3*q) to the form r + p*q**2 + i*q and give i.
442
Rearrange g**3 + 4 - g**2 - 3 - g**2 - 39*g + 4*g**2 + g**4 - g**2 to f*g**3 + q + a*g**4 + u*g**2 + p*g and give a.
1
Express (-42*v**2 - 496 + 496)*(-25989*v + 25989*v - 397*v**2) in the form y*v + o*v**2 + i + b*v**4 + k*v**3 and give b.
16674
Rearrange -8*f - 11*f + 804 - 808 + 91*f to the form b*f + c and give c.
-4
Express 596*y + 152*y**3 - y**2 - 5 - 302*y + 3 - 295*y as l*y**3 + v + j*y + d*y**2 and give d.
-1
Rearrange 9*h**3 + 12*h**3 - 25*h**3 - 42 + 7*h**3 - 2 + 6*h to q*h**2 + z*h**3 + t*h + w and give w.
-44
Express 50*b - 21*b - 2*b**2 - 49*b as j + v*b + h*b**2 and give v.
-20
Express 7*m**2 + 5 - m**2 - 5*m**2 - 9*m - 2*m**2 + 9*m + 0*m**2 - 4*m**2 + 2*m**2 + (30 - 30 - 5*m**2)*(-3 + 0 + 4) in the form x*m**2 + s*m + n and give x.
-8
Express -239*h**2 + 241*h**2 + 4 - 53*h**3 - 12 + h + 9 in the form s*h**2 + w + j*h + b*h**3 and give b.
-53
Rearrange -109*q + 25*q + 38*q + 42*q - 50*q**2 - 1 to the form g*q**2 + s*q + t and give s.
-4
Express -90 + 15 + r + 159 - 763*r**2 - 83 as z + v*r**2 + p*r and give v.
-763
Rearrange -6*k - 2*k**2 + 8*k + 2 - 13*k**4 - 29*k**3 + 33*k**3 to o*k**2 + f*k**3 + p*k + g*k**4 + d and give o.
-2
Express 0 + 21*q**2 - 96*q - 2 + 2*q**3 + 166*q**2 + 100*q - 16*q**2 in the form h*q**3 + b*q + j*q**2 + v and give b.
4
Express 8516*m - 4119*m + 8 - 4241*m in the form c + o*m and give o.
156
Express 69*x**2 - 19*x**2 - 52*x**2 - 13062*x in the form m*x + r*x**2 + d and give m.
-13062
Rearrange (22 - 6 + 18)*(-21 + 21 - 7*r**3 + (0*r**2 - r**2 + 0*r**2)*(-2*r + 0 + 0)) to the form k*r**3 + f*r + y + p*r**2 and give k.
-170
Express (-2 + 2 - y**2)*((-3*y - y - 2*y)*(-1 + 0 + 3) - 816 - 38*y + 816) as j*y + b*y**3 + f + n*y**2 and give b.
50
Rearrange (-2*k**2 + 0*k + 0*k)*(27 + 6 + 12) + (-5 + 3 + 4)*(3 - k - 3)*(3*k + k - 3*k) + (4*k - 7*k + k)*(-6*k + 7*k - 6*k) to v + f*k + h*k**2 and give h.
-82
Express 40*r - 148 - 93 - 48*r - 27 in the form m*r + s and give m.
-8
Rearrange (1802*f + 4 - 4 - 4651*f)*(4*f**2 - f**2 - 4*f**2) to the form t*f + a*f**2 + l*f**3 + h and give l.
2849
Rearrange -2264*w + 221*w + 1166*w - 2552*w to r*w + p and give r.
-3429
Rearrange 2745*u - 21 - 16 - 11 + 48 to the form z*u + r and give z.
2745
Express -48062*d**2 + 48063*d**2 + 23*d - 6 - 623*d**3 - 22*d in the form q*d + y*d**3 + a*d**2 + j and give q.
1
Express (4 + 0 + 11)*(-2*h - 1 + 1)*(1 + h - 1 + 1)*(-45*h**2 - 6*h**2 + 3*h**2) as x*h**2 + j + a*h + i*h**3 + o*h**4 and give i.
1440
Express (-623 - 603 + 964)*(0*d + 13*d - 4*d) as r*d + k and give k.
0
Rearrange 40*u - 15*u - 38*u + 109 - 2*u**2 - 118 + 3*u**2 to the form k*u + q*u**2 + b and give b.
-9
Express -67*i**2 - 81*i - 125*i - 21*i + 8*i**2 in the form o*i + q*i**2 + b and give o.
-227
Rearrange 10*h + 15*h + 178*h**2 - 84*h**2 - 26*h - 456*h**3 + 1 - 95*h**2 to m + p*h**2 + x*h + q*h**3 and give p.
-1
Express (-g - g + g)*(10291 - 5149 - 5143 - 2*g**2 + 1747*g) as x + z*g**2 + t*g**3 + v*g and give t.
2
Rearrange (p - p**2 - p)*(-151 - 6 - 90 + 8 + 35 - 84) to k + v*p + d*p**2 and give d.
288
Express 161 - 3*w - 161 + 11*w**2 - 28*w**4 - w**3 + 27*w**4 - 20*w as n + c*w**3 + k*w**2 + x*w + a*w**4 and give k.
11
Express 1433*x**2 + 1425*x**2 - 2831*x**2 - 2*x - 8*x**4 - 4*x**4 in the form i*x**3 + g*x**2 + a*x**4 + c*x + u and give c.
-2
Rearrange -5*s - 13*s - 13*s + (-4 - 2 + 6 + 10)*(-28 + 3*s + 28) to w + q*s and give q.
-1
Rearrange 2*a**2 - 6*a**4 - 3*a**2 - 490 + a + 3*a**4 - a**3 + 481 to j*a**4 + b + m*a + o*a**3 + i*a**2 and give j.
-3
Rearrange (-4 + 3 + 0)*(2 - 2 - 1)*(-2 - 1 - 1)*(5 - 17 - 7)*(2 + 1 + 0)*(j + 2*j + 0*j) to the form t + v*j and give v.
684
Express (34*f**2 - 4*f**3 - f**3 + 3*f**3)*(-29*f - 569 + 70*f - 40*f) as g*f**2 + w*f + l*f**3 + j + s*f**4 and give g.
-193 | {
"pile_set_name": "DM Mathematics"
} |
h - 5*m. What is the tens digit of h?
1
Let f = 0 - -5. Suppose -f*g - 23 = -228. What is the tens digit of g?
4
Let l(q) = q + 7. Let b be l(-3). Suppose h = b*h + 15. Let j(x) = x**3 + 5*x**2 - x - 4. What is the units digit of j(h)?
1
Suppose -2*w + 532 = 5*u, 11*w - 9*w = 4*u - 440. What is the units digit of u?
8
Let k be (140/(-8))/5*-6. What is the units digit of (196/k)/(1/3)?
8
Let n(c) = c + 21. What is the units digit of n(18)?
9
Let h(s) = -4*s - 3. Let p be h(-3). Let k(l) = -l**2 + 12*l - 11. What is the tens digit of k(p)?
1
Let z = 146 + -85. What is the units digit of z?
1
Let z(k) be the third derivative of k**5/60 + 3*k**4/8 + 11*k**3/6 - k**2. What is the tens digit of z(-9)?
1
Suppose -3*u - 5*w = -5, 3 = -w + 4. Suppose u = 3*m + 1 + 20. Let b = 8 - m. What is the tens digit of b?
1
Suppose 5*z - 2*s = -5*s + 765, 0 = -z - 5*s + 153. What is the tens digit of z?
5
Suppose -2*m + 41 = 3*w, -m - 3*m - 4*w + 76 = 0. Let y(d) = d**3 + 3*d**2 - 2*d + 3. Let o be y(-3). Let h = m - o. What is the units digit of h?
7
Suppose 3*c = -14 + 65. Suppose -4*z + 23 = d + 2, -c = 2*z - 5*d. Suppose 0 = -3*y + 3, -z*r + 2*y = -0 - 10. What is the units digit of r?
3
Let t(o) = 12*o**2 - o. Suppose -4*g - 21 = -7*v + 2*v, -4 = g. What is the units digit of t(v)?
1
Let o(g) = g**2 - 8*g. Let q be o(9). Let z = q - 7. Let c(y) = 4*y**2 - y + 1. What is the units digit of c(z)?
5
Let d = -137 + 201. What is the tens digit of d?
6
Suppose -3*g = -118 - 182. Suppose -6*f = -10*f + g. What is the units digit of f?
5
Suppose -z + 5*a = -0*z - 104, -5*z = 3*a - 436. What is the units digit of z?
9
Let x(g) = 14*g**2 - g - 1. What is the units digit of x(-1)?
4
Let u be 66/8 + 3/4. Let y(t) = t + 11. What is the tens digit of y(u)?
2
Let g = -531 + 933. What is the hundreds digit of g?
4
Suppose 0*d + 3*f + 83 = -5*d, -3*f + 45 = -3*d. Let t(v) = -3*v + 5. Let a be t(-6). Let z = a + d. What is the units digit of z?
7
Suppose 5*h + 2*f - 50 - 39 = 0, -2*f - 81 = -5*h. What is the units digit of h?
7
Suppose 0 = 2*t - 23 - 33. Let q = -16 + t. What is the units digit of q?
2
Let x be (-2 + 1)*(-2 - 87). Suppose 0 = 4*v - c - x, 0*v + 3*c - 32 = -v. What is the tens digit of v?
2
Let g = 9 - 3. What is the tens digit of (-99)/(-5) - g/(-30)?
2
Let y(v) = 4*v**2 + 0*v + v**3 + v - 5*v**2 + 0*v + 11. Suppose 0 = -q + 3*q. What is the units digit of y(q)?
1
Suppose 2*f - 3*r + 5 = 0, -4*f - r = -f - 20. Suppose 55 = f*x + 5. What is the tens digit of x?
1
Suppose 121 + 583 = 8*a. What is the tens digit of a?
8
Suppose -6*z = -z - 125. What is the units digit of z?
5
Let v(j) = -5*j**3 + 8*j + 22. What is the hundreds digit of v(-4)?
3
Let k(c) = -9*c + 15. Let r(y) = -2*y + 3. Let z(h) = -2*k(h) + 11*r(h). What is the units digit of z(-3)?
5
Let t(i) = i**2 + 10*i + 14. Suppose 3*v + 34 = 4. What is the units digit of t(v)?
4
Suppose 4*f - 162 = -2*c, 2*f + 5*c - 159 = -2*f. What is the tens digit of f?
4
Let a be (3/(-2))/(7/(-14)). Suppose a*u = 8*u + 50. What is the units digit of (-6)/u - (-24)/10?
3
Let r(h) = h**3 + 4*h**2 - 3*h - 5. What is the units digit of r(-2)?
9
Let b be (-20)/(-5) - (0 + -1). Suppose 44 = -3*q + 4*a + a, -b*a = 5*q + 140. Let p = -15 - q. What is the units digit of p?
8
Let a(v) = v**2 + 8*v + 11. Let x = -4 + -6. What is the units digit of a(x)?
1
Suppose 797 + 3246 = 13*l. What is the hundreds digit of l?
3
What is the tens digit of 19*14*1 + (-4 - -1)?
6
Suppose -28 = 2*f + 24. Suppose 7 = -i - 1. Let g = i - f. What is the tens digit of g?
1
Let g = 191 + -133. What is the tens digit of g?
5
Let t(m) = -m**2 + 15*m + 22. What is the tens digit of t(9)?
7
Let x = 6 - -27. What is the units digit of x?
3
Let f(v) be the third derivative of -v**4/12 + 3*v**3/2 + v**2. What is the units digit of f(4)?
1
Let m(d) = -d**3 + 7*d**2 + 8*d. Let r = -9 - -17. Let n be m(r). Suppose n*u - 3 = -u. What is the units digit of u?
3
Let w(g) = 1 - 4 - 6*g - 1 + 0. Let i be w(-4). Suppose 5*d = -5*m + i, -d + 2 = 1. What is the units digit of m?
3
Suppose -4 = -3*x - 1. Let b be (x*-3)/((-6)/4). Suppose 0*t = 2*t - b. What is the units digit of t?
1
Suppose 4*y + 10 = -2*i, -3*y = -2*i + 4*i + 6. What is the units digit of i?
3
Let d(l) = 3*l + 3. Let r(v) = -v - 1. Let s(f) = -2*d(f) - 5*r(f). Let x be s(-7). What is the units digit of 1*(4 + x/3)?
6
Let j(t) = -t + 10. Let s(z) = -z**3 + 5*z**2 - 3*z - 4. Let a be s(3). Suppose 2*d - 31 = 4*y - a, 3*y = -12. What is the units digit of j(d)?
5
Suppose 0 = 3*k + p + 1, 4*k = -4*p - 17 + 5. Let n be (-10)/30 - 31/(-3). Let g = n + k. What is the units digit of g?
1
Let r = -328 - -527. What is the units digit of r?
9
Suppose -20 = -j - 3*j. Suppose -j*v = -v. Suppose -2*n + 10 + 2 = v. What is the units digit of n?
6
Let m = 52 - 27. What is the units digit of m?
5
Let b(g) = 2*g**2 + 5*g + 2. Let w be b(-3). Suppose -16 = -w*h + 29. What is the units digit of h?
9
Let k be (1 + 0 - 4) + -2. Let x = 16 + k. What is the tens digit of x?
1
Let y(d) = -3*d - 7 + 3*d + d - 3*d. What is the units digit of y(-6)?
5
Let d be 156/9 + (-4)/(-6). Let b = d - 13. What is the units digit of b?
5
Let j be -3*((-3)/9 - -1). What is the units digit of 1/j - 21/(-2)?
0
Let a = 0 + 3. Suppose 0*m - 51 = -a*m. What is the tens digit of m?
1
Let b(y) = -6*y**2 + y. Let k be b(2). Let d = k + 16. Let t(q) = -q**2 - 8*q - 7. What is the units digit of t(d)?
5
Let s = -157 + 198. What is the tens digit of s?
4
Let o be 1*-3*2/(-2). Let m be (-2)/8 - 82/(-8). Suppose 4*z = 3*f + m, o*f + 2 = 4*f. What is the units digit of z?
4
Suppose -3*r - 6*t + 119 = -4*t, r = -3*t + 35. What is the tens digit of r?
4
Suppose 6*o + 3*o - 1161 = 0. What is the tens digit of o?
2
Suppose 40 = l - 6*l. Let o = -7 - l. What is the units digit of o?
1
Suppose 0*t - 4*t + 18 = 5*b, -2*b - 5*t + 14 = 0. Suppose 0 = -n + 2*c - 5, 0 = -5*n + 3*c - 2 - b. What is the units digit of n?
1
Let h(w) = w**2 + 2*w + 38. What is the units digit of h(0)?
8
Let m(v) = v**3 - 2*v**2 - 4*v + 3. Let o be m(3). Suppose 0 = 4*p - o*p - 4. Suppose u - 5*k = 5*u - 10, u - p = -2*k. What is the units digit of u?
5
Let v be (-1 - 0)/((-1)/5). Suppose -3*p + 1 = -2*f - 4, 5 = -v*p. What is the units digit of 18/f*(-8)/6?
6
Let h(v) = 15*v**2 + 6*v. What is the tens digit of h(-3)?
1
What is the units digit of 4 - -15 - (-3 - -1)?
1
Let f = -3 - -32. What is the units digit of f?
9
Let v(r) = -6*r**2 - 8*r + 5. Let l(u) = -u**3 + u**2 - 1. Let w(p) = -l(p) + v(p). What is the units digit of w(8)?
6
Suppose k = -l + 5, -3*k + 5*l + 47 + 0 = 0. Let c(m) = 5 + 2*m**2 - 4 - m**2 - 7*m. What is the tens digit of c(k)?
1
Let a = 0 - -1. Suppose t - 2 = a. Suppose 0 = 5*k - 20, t*u = 4*k - k + 21. What is the tens digit of u?
1
Let o(b) = b**3 + 4*b**2 + b - 3. Let q be o(-3). Suppose z + 7 = q*a, z = -a + 3*z + 4. What is the units digit of a?
2
Let g(y) = y**2 - y + 4. Let v be g(0). Suppose z = 4, -3*z + v*z - 11 = -d. What is the units digit of d?
7
Let i be (-8)/14 + (-195)/(-35). Suppose -2*c = p - 50, -3*p + 120 = 5*c - i. What is the units digit of c?
5
Let g(h) = -19*h + 1. Let y be g(1). What is the tens digit of (-60)/y*18/4?
1
Let w(a) = -a**2 - 10*a - 4. Let x be w(-10). Let r(m) = 2*m**2 + 2*m - 3. What is the units digit of r(x)?
1
Let j be (-1 - -3)/(24/60). Suppose 16 = -3*s + j*s. What is the units digit of s?
8
Suppose -6 = 2*g - 3*p, 0 = 5*p - 19 - 1. Suppose -3*m + 2*w = m - 102, g*w - 155 = -5*m. What is the units digit of m?
8
Suppose -o - 644 = -2*b - 3*b, 4*b - 512 = 4*o. What is the hundreds digit of b?
1
Let a be 2/6*159/1. Let i = -38 + a. Suppose -z + i = 4*z. What is the units digit of z?
3
Let j(t) = t**2 + 74. Let l be j(0). Suppose -2*w + 4*m - 24 - 32 = 0, 3*w = m - l. What is the units digit of (9/(-12))/(2/w)?
9
Suppose -11 = 2*j - 29. Let y = -5 + j. Let r = -1 + y. What is the units digit of r?
3
Let v(h) = h**3 + 8*h**2 + 8*h - 2. Suppose 2*t + 20 = 4*o, o - 6 = -0*t + t. Let i = t + -4. What is the tens digit of v(i)?
2
Suppose 4*o = -o + 3*v, 0 = -4*o + 4*v. Suppose k + 1 - 7 = o. What is the units digit of k?
6
Let k(h) = -h**3 + 2*h**2 + 2*h - 4. Let w be k(4). Let c = -13 - w. What is the units digit of c?
5
| {
"pile_set_name": "DM Mathematics"
} |
107*b - 13 - 501 - 449 = 0 for b.
9
Solve -185 = 68*b - 123*b + 585 for b.
14
Solve -115*b + 136*b + 157 = -53 for b.
-10
Solve -245 = 5*q - 57*q - 193 for q.
1
Solve -35*x - 55 = 50 for x.
-3
Solve -1927 - 5173 = 355*v for v.
-20
Solve -14*t + 169 - 447 = -124 for t.
-11
Solve -36*a + a - 209 = -16*a for a.
-11
Solve 196 + 167 = -4*s - 29*s for s.
-11
Solve -164 = 61*i + 28 + 113 for i.
-5
Solve 969 = 2502*b - 2409*b - 798 for b.
19
Solve -2217*h - 4011 = -2408*h for h.
21
Solve 303*y - 4868 = -914*y for y.
4
Solve 27*r - 248 = 155 + 83 for r.
18
Solve 0 = 351*d - 41 - 3469 for d.
10
Solve 6*u + 224 = 164 for u.
-10
Solve 19*s = 3*s + 43*s - 405 for s.
15
Solve 258*u = 2683 + 2477 for u.
20
Solve -81*i + 96*i - 195 = 0 for i.
13
Solve 876 = 43*i + 274 for i.
14
Solve -854 = -90*m + 89*m + 62*m for m.
-14
Solve 4921 = -190*b - 209 for b.
-27
Solve -99*h + 125*h = -312 for h.
-12
Solve 610*c + 118*c + 4368 = 0 for c.
-6
Solve -2999 = 1200*r + 4201 for r.
-6
Solve 15387 = -4*m + 15395 for m.
2
Solve 134*p - 3641 = -197*p for p.
11
Solve 427 - 241 = -31*p for p.
-6
Solve 0 = 37*o + 9502 - 9983 for o.
13
Solve 6*y + 25 = 22 - 3 for y.
-1
Solve -35 - 17 = -33*g - 19 for g.
1
Solve 660*n + 84 = 653*n for n.
-12
Solve 3026*a = 5981*a - 3017*a + 620 for a.
10
Solve 51*s - 456 + 87 = 10*s for s.
9
Solve 169*y = 585*y - 229*y - 1870 for y.
10
Solve 35*w + 445 = 46*w + 78*w for w.
5
Solve 58*r + 1888 = -7*r - 582 for r.
-38
Solve -3*y - 135 = -96 for y.
-13
Solve -31 = -9*r - 12 + 35 for r.
6
Solve -24*r = 17605 - 17749 for r.
6
Solve -1151 + 1115 = -3*q for q.
12
Solve 99*q - 26 = -299 - 717 for q.
-10
Solve 21 + 35 = -56*d for d.
-1
Solve -71132*b - 2624 = -70804*b for b.
-8
Solve -465*r - 405*r = 138*r + 7056 for r.
-7
Solve 149*c = -383 + 234 for c.
-1
Solve -2210 = 344*q + 886 for q.
-9
Solve 5215 - 4855 = -8*h + 68*h for h.
6
Solve -422*q + 24595 - 13201 = 0 for q.
27
Solve 0 = -126*v + 55*v - 497 for v.
-7
Solve 0 = -54*h - 680 + 626 for h.
-1
Solve 97*j + 600 = -43*j + 200*j for j.
10
Solve 247*d - 556*d - 1309 = -232*d for d.
-17
Solve 1266 = -41*w + 1594 for w.
8
Solve 0 = -x + 24*x + 56 - 10 for x.
-2
Solve 7*q + 3045 = 2975 for q.
-10
Solve 14156 = -33*l + 14123 for l.
-1
Solve -130*x - 1071 = -11*x for x.
-9
Solve -4*k - 7 - 7 - 38 = 0 for k.
-13
Solve 1213*r - 1632 - 24918 - 4988 = 0 for r.
26
Solve -32*q = -7*q + 9*q for q.
0
Solve -97*k - 19*k - 52*k - 2352 = 0 for k.
-14
Solve 40 = 20*b - 15*b for b.
8
Solve -132*c + 84 = 360 + 1440 for c.
-13
Solve -8*l - 28*l - 40*l - 1064 = 0 for l.
-14
Solve -91*u + 12417 = 13145 for u.
-8
Solve 0 = -24*q - q + 143 + 32 for q.
7
Solve -97*y = 82*y - 24 - 155 for y.
1
Solve -4*h - 519 = -551 for h.
8
Solve 415*v - 390 = 376*v for v.
10
Solve 123*a = -698 - 286 for a.
-8
Solve -15*m - 2*m + 52999 - 52795 = 0 for m.
12
Solve 0 = -22*q - 228 - 22 - 36 for q.
-13
Solve -2499*r = -2554*r - 275 for r.
-5
Solve 6843*g - 6815*g = -728 for g.
-26
Solve -9954*n = -10011*n - 1596 for n.
-28
Solve -27*b = -56*b + 36*b - 49 for b.
7
Solve -178 + 1788 = -46*j for j.
-35
Solve 367 = -40*g + 18 - 51 for g.
-10
Solve -438 = 182*k - 328*k for k.
3
Solve 32*t - 20*t + 19*t = -217 for t.
-7
Solve -41*w + 302 = 147 - 337 for w.
12
Solve -76*w + 20*w - 19*w + 1050 = 0 for w.
14
Solve 158*s - 319*s + 373 + 432 = 0 for s.
5
Solve 353*f = 277*f - 456 for f.
-6
Solve 1127*k + 312 = -1122*k + 2197*k for k.
-6
Solve 334*i = 452 + 2220 for i.
8
Solve -14*m - 32 = 7 + 31 for m.
-5
Solve 0 = 102*k + 13 + 859 + 250 for k.
-11
Solve -1040 + 272 = 18*i - 82*i for i.
12
Solve 0 = 33*d + 259 + 335 for d.
-18
Solve 8*v + 319 = -12*v - 9*v for v.
-11
Solve 1214 = -74*y + 252 for y.
-13
Solve -71 = 7*p - 23 - 34 for p.
-2
Solve -f = 24*f + 11*f - 180 for f.
5
Solve -65 = 31*k + 80 + 103 for k.
-8
Solve -78961*t = -78982*t - 294 for t.
-14
Solve 1700 = -44*c + 952 for c.
-17
Solve 23*y + 27*y = 21*y + 261 for y.
9
Solve -285*g + 198 = 18*g - 1014 for g.
4
Solve 50*i + 19 = 69 for i.
1
Solve -2832*r = -2831*r - 7 for r.
7
Solve 38*f = -38*f + 42*f - 73*f for f.
0
Solve 175 = -80*p + 9*p - 180 for p.
-5
Solve 0*u + 35*u = -21*u + 504 for u.
9
Solve -107*z - 1180 = -29*z - 400 for z.
-10
Solve -17*i - 1239 = -1494 for i.
15
Solve 27*t = 46 - 8 + 16 for t.
2
Solve -14 = 38*c - 20 - 70 for c.
2
Solve 12891*i - 12935*i = 0 for i.
0
Solve 67*d - 408*d = 2518 + 4643 for d.
-21
Solve 3899 = -105*h + 959 for h.
-28
Solve -7935 = -1384*h + 1039*h for h.
23
Solve 0 = -43*k - 770 + 555 for k.
-5
Solve -870 = 618*c + 15198 for c.
-26
Solve 121*q + 1262 = 265 - 334 for q.
-11
Solve -25*z + 556 = 581 for z.
-1
Solve -27*c + 96 + 137 = -91 for c.
12
Solve -4503 = 242*g - 873 for g.
-15
Solve 7953*m - 20 = 7943*m for m.
2
Solve 50*o + 91 = 125*o + 916 for o.
-11
Solve -45*z + 162 = -113*z + 50*z for z.
-9
Solve 706 - 9821 = -511*l + 594 for l.
19
Solve 0 = 1032*l - 1039*l + 56 for l.
8
Solve 30*o + 107 = 137*o for o.
1
Solve 130*v + 1774 = -523 - 43 for v.
-18
Solve -78*j + 175 - 1503 = 76 for j.
-18
Solve 2167 = 279*w - 2855 for w.
18
Solve -82 = 70*j - 62*j + 118 for j.
-25
Solve 78 = -50*c - 306 - 16 for c.
-8
Solve -41*l - 16*l + 165 = -633 for l.
14
Solve 720 = -126*m + 46*m for m.
-9
Solve 290*g + 12560 + 44710 = -1619*g for g.
-30
Solve -1962*g = -1972*g + 30 for g.
3
Solve -110*s + 156*s + 206*s + 1764 = 0 for s.
-7
Solve -7*k + 152 = -42*k - 3*k for k.
-4
Solve -59*c + 519 = -1605 for c.
36
Solve -82*t + 381 - 772 = 593 for t.
-12
Solve 234 + 3527 = 366*n - 265 for n.
11
Solve 114*q - 49*q = -313*q - 8694 for q.
-23
Solve 0 = -32*t - 384*t - 24*t - 1320 for t.
-3
Solve -392*l + 30*l - 6804 = 205*l for l.
-12
Solve -2*t + 30 = 71 - 19 for t.
-11
Solve -113*r - 19*r + 528 = 0 for r.
4
Solve -1465 = -60*z + 569 - 354 for z.
28
Solve 12*j + 6 = -76 - 38 for j.
-10
Solve 129*m + 418 + 1904 = 0 for m.
-18
Solve 72*z + 2107 - 12790 = -1115*z for z.
9
Solve 368*s - 98*s = -306*s - 6912 for s.
-12
Solve -338*y + 1022 = -149*y + 77 for y.
5
Solve -562*c = -433*c + 1419 for c.
-11
Solve 35*t + 402 = -57*t + 25*t for t.
-6
Solve -321*v = 170*v + 7856 for v.
-16
Solve -2417*p + 309 = -2432*p - 66 for p.
-25
Solve 37*y = 1055 - 1092 for y.
-1
Solve -29*v + 457 = -153*v - 2519 for v.
-24
Solve 2*h + 601*h + 1794 = 5*h for h.
-3
Solve -2*t - 1445 = -1439 for t.
-3
Solve 132*d + 1094 = -537 + 179 for d.
-11
Solve -9799*c = -10038*c - 1673 for c.
-7
Solve -408*n - 7104 = 36*n for n.
-16
Solve -537 = -173*d + 37*d + 143 for d.
5
Solve -544*z + 558 = -593 + 63 for z.
2
Solve 50*h + 64 = -222 - 914 for h.
-24
Solve 12*y - 55522 = -55762 for y.
-20
Solve -21*m - 142 = 38 + 9 for m.
-9
Solve 20*s + 28 = 5 - 97 for s.
-6
Solve 34 = -59*l - 7 - 490 for l.
-9
Solve -468*r - 62*r - 10*r - 7560 = 0 for r.
-14
Solve -304*a - 2321 = 1023 for a.
-11
Solve 2*h = -0 - 4 - 12 for h.
-8
Solve -65*x = 17*x - 410 for x.
5
Solve 68*m + 773 = 229 for m.
-8
Solve 0 = 70*b - 67*b - 27 for b.
9
Solve -1276*t - 2312 = -1495*t - 122 for t.
10
Solve -23*i + 128 + 332 = 69*i for i.
5
Solve 8*i - 29 + 54 = 41 for i.
2
Solve 0 = 38*g + 67*g - 62*g - 344 for g.
8
Solve 34*z + 2949 = 3595 for z.
19
Solve -12*u + 339 = 46*u + 861 for u.
-9
Solve -5924*p = -5921*p - 9 for p.
3
Solve 52*f - 604 - 1137 + 441 = 0 for f.
25
Solve 31*a - 15*a = 33*a - 289 for a.
17
Solve -336*s + 773 = -1081*s - 717 for s.
-2
Solve 14*x + 133 - 673 = 41*x for x.
-20
Solve 4*k - 1132 + 1107 = -k for k.
5
Solve -36*w + 102*w - 774 = 23*w for w.
18
Solve 1664 = -107*w - 583 for w.
-21
Solve 51*d = -72*d + 32*d + 3640 for d.
40
Solve -15*q + 40620 = 40845 for q.
-15
Solve 324*t + 3 = 327*t for t.
1
Solve 29*u + 7871 = 7726 for u.
-5
Solve 32*p + 29*p + 765 = 106*p for p.
17
Solve -856*n = -888*n for n.
0
Solve 122*a + 85 = -15*a - 1285 for a.
-10
Solve -30*r + 6*r = -3*r - 63 for r.
3
Solve 1927 = 1414*f + 513 for f.
1
Solve 370 = 221*h - 3829 for h.
19
Solve 74 - 2 = 73*w - 293 for w.
5
Solve 297 - 242 = 28*f + 1147 for f.
-39
Solve 925*w = -268*w for w.
0
Solve -129*h + 296*h + 440 = 147*h for h.
-22
Solve -2601*i + 2571*i + 90 = 0 for i.
3
Solve -7*i - 4*i + 42 + 79 = 0 for i.
11
Solve 4087*s - 4118*s + 217 = 0 for s.
7
Solve -1375*i = -773 - 6110 - 1367 for i.
6
Solve 43*d = 20*d + 92 for d.
4
Solve 126 = -81*g + 123 | {
"pile_set_name": "DM Mathematics"
} |
t replacement from upckkzj. What is prob of picking 1 j and 1 k?
2/21
Calculate prob of picking 1 m and 1 e when two letters picked without replacement from ivmegtmv.
1/14
Calculate prob of picking 2 h and 2 w when four letters picked without replacement from whhhhwhhpwhhwwwhwh.
21/68
Four letters picked without replacement from wqqqqqqqqqwqwqqwqq. What is prob of picking 3 w and 1 q?
14/765
Three letters picked without replacement from {k: 1, r: 6, i: 5, l: 1, z: 2}. Give prob of picking 2 z and 1 l.
1/455
Calculate prob of picking 1 v and 1 u when two letters picked without replacement from {i: 1, u: 5, v: 2, m: 5, b: 3}.
1/12
Three letters picked without replacement from {a: 2, z: 2, w: 9}. What is prob of picking 2 z and 1 a?
1/143
Calculate prob of picking 4 p when four letters picked without replacement from ppdd.
0
What is prob of picking 2 v and 2 d when four letters picked without replacement from znvzvnvvzdvdd?
6/143
Three letters picked without replacement from {m: 3, b: 1, v: 3, z: 1, k: 2}. What is prob of picking 1 m and 2 v?
3/40
Calculate prob of picking 3 m and 1 c when four letters picked without replacement from yycccmcykccddccmcmc.
5/1938
Two letters picked without replacement from {p: 2, t: 2, l: 6, v: 1, q: 3, n: 6}. What is prob of picking 1 t and 1 q?
3/95
Two letters picked without replacement from {q: 2, e: 3, i: 5, b: 3, p: 1, f: 1}. Give prob of picking 2 b.
1/35
What is prob of picking 1 z and 1 f when two letters picked without replacement from {f: 1, z: 1, b: 4, t: 11}?
1/136
Two letters picked without replacement from orfrrorrrrof. Give prob of picking 2 r.
7/22
Two letters picked without replacement from wowwwyewlettweee. What is prob of picking 1 l and 1 w?
1/20
Calculate prob of picking 2 b when two letters picked without replacement from {e: 1, y: 13, b: 3}.
3/136
Calculate prob of picking 2 a and 1 p when three letters picked without replacement from {a: 18, p: 2}.
51/190
Two letters picked without replacement from sisissssssssssssisss. Give prob of picking 1 i and 1 s.
51/190
What is prob of picking 1 g, 1 x, and 1 t when three letters picked without replacement from sxtgbgz?
2/35
What is prob of picking 1 f and 1 d when two letters picked without replacement from {d: 1, u: 8, f: 10}?
10/171
What is prob of picking 2 m when two letters picked without replacement from {v: 5, m: 2, u: 7}?
1/91
What is prob of picking 1 e and 1 f when two letters picked without replacement from {t: 1, e: 1, p: 1, g: 3, f: 1}?
1/21
Two letters picked without replacement from {p: 6, t: 1, j: 1, f: 1}. What is prob of picking 1 t and 1 p?
1/6
Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {b: 1, e: 1, z: 1}.
1/3
Two letters picked without replacement from jccrvwwczvvvzww. What is prob of picking 2 v?
2/35
Four letters picked without replacement from {u: 1, c: 1, v: 5, b: 2, z: 4, d: 2}. Give prob of picking 1 d, 1 u, and 2 v.
4/273
Three letters picked without replacement from llllwlwwwlwl. What is prob of picking 1 w and 2 l?
21/44
Calculate prob of picking 1 f and 2 q when three letters picked without replacement from qfcjqjm.
1/35
What is prob of picking 4 n when four letters picked without replacement from noooonoxonn?
1/330
Three letters picked without replacement from vnh. What is prob of picking 1 n and 2 h?
0
Three letters picked without replacement from {o: 2, r: 5}. What is prob of picking 1 r and 2 o?
1/7
What is prob of picking 2 e and 1 o when three letters picked without replacement from ooeeooe?
12/35
Two letters picked without replacement from fffffff. What is prob of picking 2 f?
1
Calculate prob of picking 2 c when two letters picked without replacement from {z: 1, c: 7}.
3/4
Three letters picked without replacement from {w: 1, r: 1, g: 1, c: 3, z: 2, v: 4}. Give prob of picking 1 w, 1 c, and 1 z.
3/110
Calculate prob of picking 3 g and 1 s when four letters picked without replacement from {r: 1, e: 1, s: 9, p: 2, g: 5}.
1/34
Two letters picked without replacement from xxxxxffzxfxxf. What is prob of picking 2 x?
14/39
Two letters picked without replacement from {d: 4, u: 2}. Give prob of picking 1 u and 1 d.
8/15
Two letters picked without replacement from {e: 9, h: 1, c: 4, v: 1}. Give prob of picking 1 e and 1 c.
12/35
What is prob of picking 2 p when two letters picked without replacement from {k: 2, u: 3, t: 1, z: 9, p: 3}?
1/51
Three letters picked without replacement from dthvfvhdihttfv. What is prob of picking 2 t and 1 v?
9/364
What is prob of picking 1 s and 1 q when two letters picked without replacement from {q: 1, c: 1, y: 2, s: 2, j: 1, v: 2}?
1/18
Four letters picked without replacement from {i: 4, d: 1, e: 7, t: 2}. What is prob of picking 1 i, 1 t, and 2 e?
24/143
What is prob of picking 1 r and 1 y when two letters picked without replacement from oosorkkykkk?
1/55
Four letters picked without replacement from {w: 3, k: 10, p: 2, a: 3, m: 1}. What is prob of picking 1 k and 3 a?
5/1938
Calculate prob of picking 1 h and 1 n when two letters picked without replacement from yhnmheeeensnsenysen.
10/171
Four letters picked without replacement from kxxkjkxkjjxnkkxjxkj. Give prob of picking 1 n and 3 x.
5/969
Calculate prob of picking 1 h, 1 u, 1 z, and 1 k when four letters picked without replacement from ktzutzhp.
1/35
Two letters picked without replacement from {g: 1, o: 2}. What is prob of picking 2 g?
0
What is prob of picking 3 i when three letters picked without replacement from {n: 10, i: 4}?
1/91
What is prob of picking 2 l when two letters picked without replacement from {e: 5, l: 2}?
1/21
Two letters picked without replacement from {i: 1, l: 1, y: 1, o: 1, r: 1}. Give prob of picking 1 o and 1 r.
1/10
What is prob of picking 1 q and 1 j when two letters picked without replacement from {j: 1, d: 5, q: 1, f: 3, s: 4}?
1/91
Four letters picked without replacement from mmmcc. Give prob of picking 3 m and 1 c.
2/5
Two letters picked without replacement from ttrl. What is prob of picking 1 r and 1 t?
1/3
Calculate prob of picking 1 n, 2 f, and 1 c when four letters picked without replacement from cuffncy.
2/35
What is prob of picking 1 z and 2 w when three letters picked without replacement from {z: 1, w: 2, l: 5, x: 3, u: 3, o: 1}?
1/455
What is prob of picking 2 d when two letters picked without replacement from {d: 7, j: 4, n: 5, a: 3}?
7/57
What is prob of picking 3 z when three letters picked without replacement from zqzz?
1/4
Calculate prob of picking 2 o and 1 m when three letters picked without replacement from {z: 1, o: 3, i: 3, s: 1, l: 5, m: 2}.
6/455
Four letters picked without replacement from qqvqkqkkqkqvqvqv. Give prob of picking 4 v.
1/1820
Calculate prob of picking 2 j when two letters picked without replacement from ccccjcccccccccccccjc.
1/190
Three letters picked without replacement from {n: 8, v: 5, m: 7}. Give prob of picking 1 n and 2 m.
14/95
Four letters picked without replacement from rnnrrn. What is prob of picking 1 r and 3 n?
1/5
Two letters picked without replacement from gutuz. What is prob of picking 1 u and 1 z?
1/5
Two letters picked without replacement from {h: 2, m: 3}. What is prob of picking 2 m?
3/10
Calculate prob of picking 3 b when three letters picked without replacement from {b: 4, k: 5, d: 1}.
1/30
What is prob of picking 2 t when two letters picked without replacement from {o: 5, t: 2, p: 2}?
1/36
Four letters picked without replacement from mbssbsbb. What is prob of picking 4 b?
1/70
Four letters picked without replacement from {w: 3, t: 7}. What is prob of picking 4 t?
1/6
Two letters picked without replacement from {u: 3, e: 5, j: 1, g: 5, q: 6}. Give prob of picking 1 u and 1 q.
9/95
Four letters picked without replacement from {r: 1, h: 1, o: 1, z: 2, t: 1, a: 1}. What is prob of picking 1 a, 1 z, 1 o, and 1 t?
2/35
Calculate prob of picking 1 l and 3 z when four letters picked without replacement from lzmzlllzzzzlzlzzz.
36/119
What is prob of picking 1 i and 1 e when two letters picked without replacement from {c: 6, i: 7, e: 2}?
2/15
What is prob of picking 1 o and 1 g when two letters picked without replacement from orggr?
1/5
What is prob of picking 3 a when three letters picked without replacement fr | {
"pile_set_name": "DM Mathematics"
} |
560)*3)/(-3*(sqrt(5) - (sqrt(35)/sqrt(7) + sqrt(5))*6))).
-48*sqrt(7)/11 + 12
Simplify (0 + (sqrt(612)*-2)**2 + -4 - ((sqrt(17) - sqrt(425)) + -3 + (sqrt(17) - ((sqrt(1700)*1 + sqrt(1700))**2 - sqrt(1700) - sqrt(17))) + sqrt(17)))*6 + 0.
-54*sqrt(17) + 55482
Simplify (-3*(-1 + sqrt(425) - sqrt(425)) - (2 + sqrt(425) + -3) - (sqrt(425)*-2 + -5 + sqrt(425))*-4*6)**2.
29000*sqrt(17) + 279081
Simplify (sqrt(833) + 0 + -2 + 1)*-2 - ((3*(sqrt(833) + 1) - 5*(0 + sqrt(833))) + 5)**2.
-3394 + 210*sqrt(17)
Simplify -1*(((sqrt(405)*-1 + sqrt(405))*5)**2 - (-1 + sqrt(405) + 1) - 6*(5 + 6*sqrt(405) + sqrt(405)))*1.
30 + 387*sqrt(5)
Simplify -5*(-1*4*sqrt(5616))/(sqrt(24)/(5*sqrt(8)*-3)).
-3600*sqrt(13)
Simplify -5 + 6*(sqrt(10)/(sqrt(2) + sqrt(2) + sqrt(8)) + sqrt(40)/(sqrt(8) - sqrt(72)) - (-2*sqrt(720))**2).
-17285 - 3*sqrt(5)/2
Simplify (((sqrt(170) - (sqrt(170) - sqrt(170)*-2*-5))/(-1*sqrt(10)*-4) - (((sqrt(34)/sqrt(2) - sqrt(17))*6 - sqrt(17)) + 1 + sqrt(17) + 3)) + -2)**2.
-30*sqrt(17) + 569/4
Simplify (4*(1*sqrt(99) - sqrt(99)) + sqrt(99) + 3*(sqrt(99) + (3*sqrt(99) - sqrt(99))))/(-1*-5*sqrt(108)/(sqrt(12) - sqrt(192))).
-6*sqrt(11)
Simplify ((-2*5*sqrt(114) + sqrt(114))*-1)/(sqrt(54)/(sqrt(90)/sqrt(10))*-5) + -3.
-9*sqrt(19)/5 - 3
Simplify 1*(3 + -1 + sqrt(275))**2 + -4 - ((sqrt(176)*-1 - sqrt(44))/((sqrt(48)/sqrt(2))/sqrt(6)) + 5).
23*sqrt(11) + 270
Simplify ((sqrt(66) - (sqrt(66)*1 + sqrt(66)))*-3 + (sqrt(66) + (4*sqrt(66) - sqrt(66) - sqrt(66)) + sqrt(66))*-2)/(sqrt(162)/(sqrt(27)*-1)).
5*sqrt(11)
Simplify (((sqrt(243) + 0)*4 - ((sqrt(243)*-2 + 4 - sqrt(243)) + sqrt(243))) + 3 + 5)**2*-1.
-8764 - 432*sqrt(3)
Simplify 5 + 1*2*(sqrt(209) + (2*-2*sqrt(209) - sqrt(209)) - (sqrt(209) - (sqrt(209) - 1*sqrt(209)*2)))/(3*2*sqrt(99)).
-2*sqrt(19)/3 + 5
Simplify 2 + (-5 + 3*(sqrt(2299) + 3 + sqrt(2299) + sqrt(2299))**2 + sqrt(2299)*4 + -5)*-5*-5.
15950*sqrt(19) + 1552252
Simplify ((sqrt(39)/(sqrt(9)/(sqrt(15)/sqrt(5)) + sqrt(3)))**2 - (sqrt(13) + 1*sqrt(1573))*-2)*-6*-4.
78 + 576*sqrt(13)
Simplify (-6*((1*sqrt(320) - sqrt(320)) + sqrt(320)))/(sqrt(360)*5*-6 - sqrt(360)).
4*sqrt(2)/31
Simplify (sqrt(3) + (sqrt(180)/sqrt(10))/sqrt(6) + -1*(5 + sqrt(3)) + sqrt(3) + -4 + 0 + sqrt(3) + sqrt(1089)/sqrt(3))**2.
-252*sqrt(3) + 669
Simplify -4*(4*(-2 + -4 + ((sqrt(114) - (sqrt(114) - (sqrt(114) + -5*(2*sqrt(114) - sqrt(114))))) + sqrt(114))/((sqrt(24)*-1)/sqrt(4))))**2.
-13248 + 2304*sqrt(19)
Simplify (sqrt(18) + (sqrt(18) - sqrt(36)/sqrt(2)))/sqrt(6) + -2*(1 + sqrt(3) - sqrt(3)) - ((sqrt(72) + sqrt(72)*1)/sqrt(4))/(sqrt(162)/sqrt(3)).
-2 + sqrt(3)/3
Simplify -5*((sqrt(1900)*-1 + -1)*1 + (-2 + sqrt(1900) - sqrt(1900)) + -4 + 2*sqrt(1900)*2)**2.
-85745 + 2100*sqrt(19)
Simplify -6*((-5*sqrt(84)*1)/sqrt(4))/(-2*sqrt(448)*1).
-15*sqrt(3)/8
Simplify ((-5*sqrt(132)*1 + (sqrt(132) - (sqrt(132) - 5*sqrt(132))*4) + sqrt(132))/(-4*(sqrt(192) - (sqrt(192) - (4*sqrt(192) - sqrt(192)))*-2)))**2.
1859/2304
Simplify (-2*(-3*sqrt(132)/sqrt(4) - sqrt(3993)*1))/((sqrt(180)/sqrt(6))/sqrt(10) + sqrt(18)/sqrt(6)*3).
7*sqrt(11)
Simplify 3*(sqrt(171)*-1 + 0 + sqrt(171))**2 + -3 - ((-1*sqrt(76)*-1)/(sqrt(12)/(sqrt(27) + sqrt(3))))**2*2.
-611
Simplify (-4 + sqrt(567) + 4 + -3 + -3 + -4)**2 + 1 + 2.
-180*sqrt(7) + 670
Simplify (sqrt(190)*-3*-6)/(sqrt(10) + (sqrt(60)/sqrt(6)*2 - sqrt(10))) + (sqrt(152)/(sqrt(24)/sqrt(3)*-6) - (sqrt(19) + 1 + 4 - 2*sqrt(19)*1)).
-5 + 59*sqrt(19)/6
Simplify (2 + sqrt(891)*2*2 + 2)**2 - ((sqrt(66) - sqrt(66)*2)*-4)/(sqrt(24)/sqrt(4)*6).
862*sqrt(11)/3 + 14272
Simplify (-5*(-1 + (sqrt(475) - -2*1*sqrt(475))))**2 + sqrt(114)/((-1*sqrt(72))/sqrt(12))*-3 + 3.
-747*sqrt(19) + 106903
Simplify (-1 + (1*sqrt(750)*1)/((-6*sqrt(80)*2)/sqrt(8))*-4)**2.
-10*sqrt(3)/3 + 28/3
Simplify (5*(sqrt(70) - (sqrt(70) + 3*sqrt(70)))*-1*-1)/(-1*sqrt(1000) - (sqrt(80)/(sqrt(48)/sqrt(6)) + sqrt(10))).
5*sqrt(7)/4
Simplify ((3*sqrt(19) + -3 - sqrt(152)/(sqrt(24)/sqrt(3))) + (sqrt(152)/sqrt(4)*-6)/(2*sqrt(128)))**2.
-39*sqrt(19)/4 + 3787/64
Simplify (-5*2*sqrt(99) + sqrt(99) + sqrt(99)*5 + 4)**2 - (-1 + (sqrt(99) - (sqrt(99) + 0 + 5)) + 1)**2.
-96*sqrt(11) + 1575
Simplify (sqrt(567) - -6*sqrt(567)*2 - -3*(sqrt(567) + 1)) + 5*((sqrt(567) - (sqrt(567)*1 + sqrt(567)))**2 + -3 + 1).
144*sqrt(7) + 2828
Simplify (-5 + -1*sqrt(8)*-2)*4 + (((-2*sqrt(24))/sqrt(6))/(sqrt(8) - sqrt(72)))**2.
-39/2 + 16*sqrt(2)
Simplify (5*(sqrt(26)/sqrt(2) + 5) - (sqrt(39)/sqrt(3)*-2 + sqrt(52)/sqrt(4) + sqrt(13) + 3)**2) + (1 + (-1 + sqrt(208) + 1 - sqrt(208)))**2*-1.
15 + 5*sqrt(13)
Simplify (sqrt(245) - (sqrt(245) + 0 - sqrt(245)) - (sqrt(5) + 2 + sqrt(5) + sqrt(5))*-6)**2 + 1 + -4 + 3*sqrt(320) + (-3 + sqrt(320))*4.
656*sqrt(5) + 3254
Simplify ((-1*(-2*sqrt(1008)*1 + sqrt(1008))*3 + 4*(-5 + sqrt(1008)*-1) + 0)*-6)**2.
17280*sqrt(7) + 50688
Simplify ((3 + sqrt(272)*1 + sqrt(272) - (-3*(1 + sqrt(272) + sqrt(272)))**2) + 4 + (-5*(sqrt(272) + 2)**2 - sqrt(272)) + 5 + sqrt(272)*1)*-2.
432*sqrt(17) + 22338
Simplify 1 + -5 + ((-4 + sqrt(200))**2 + sqrt(2))*2 + sqrt(22)/(sqrt(11) + 3*sqrt(11)) + sqrt(10)/sqrt(5)*3.
-619*sqrt(2)/4 + 428
Simplify 2*(sqrt(34)/sqrt(2) + -2) - sqrt(170)/(2*(sqrt(10) - sqrt(40))) - (-1 + (-2*sqrt(17)*3 + 5)*-5).
-55*sqrt(17)/2 + 22
Simplify 5*4*(-2 + (-5*(1 + sqrt(76)) + 5)*1)**2*-4.
-152320 - 3200*sqrt(19)
Simplify ((sqrt(110)/(sqrt(88)/sqrt(1152)))/(1*sqrt(72)*-1))**2*1.
20
Simplify (((0 + 3 + sqrt(98) + -2)**2 - -2*(1 + sqrt(98) + 4)) + 2)*-1 + -3.
-114 - 28*sqrt(2)
Simplify ((2*sqrt(40)/((sqrt(72)*3)/sqrt(9)))**2 - (-1 + -1 + sqrt(180) + sqrt(5) + 4)) + 3.
-7*sqrt(5) + 29/9
Simplify -5*(-1 + (-2 + (-1*sqrt(3) + 1)**2 + ((sqrt(363)*1 - sqrt(363))**2 - sqrt(363) - sqrt(363)) - (3 + 2*sqrt(3) + 3 + -2))).
15 + 130*sqrt(3)
Simplify ((-2*sqrt(1210)*1 - sqrt(1210))*3)/(-4*sqrt(3200)*-1).
-99*sqrt(5)/160
Simplify 2 + ((-2*sqrt(72) + sqrt(72) + 3)*2 + (2 + 0 + sqrt(72))*-3)**2.
1802
Simplify -2 + 5 + 5*(((-2 + sqrt(2) + sqrt(2)*-1)*-3)**2 + 1*1*sqrt(2)*-3).
-15*sqrt(2) + 183
Simplify (6*(-3*sqrt(6)*3*-6)/(sqrt(18)/(sqrt(144) + (sqrt(144) - sqrt(144)*-4))))**2.
181398528
Simplify (2*sqrt(132)*-4)/(sqrt(15)/sqrt(125) - sqrt(48)*6).
80*sqrt(11)/119
Simplify (((sqrt(2448) + 3)*-4)**2 - 6*(sqrt(2448) + sqrt(2448) + 3)**2) + (-1*sqrt(2448) + sqrt(2448) + 0 + sqrt(2448) + (sqrt(2448) + 1)*-2 + 1)**2.
-17045 + 312*sqrt(17)
Simplify (5 + sqrt(19) + sqrt(76) - (sqrt(152)*2)/sqrt(8))*1 + sqrt(1216) + 0 + -5 + 5*(sqrt(1216) + (sqrt(1216) + 0)**2).
49*sqrt(19) + 6080
Simplify -4*-2*3*(sqrt(208) + (sqrt(208) - sqrt(208)*-1))**2 + (4 + 2 + sqrt(208) + -2 + sqrt(208) + -4)**2.
45760
Simplify -1*(3*(4 + ((sqrt(560) + (sqrt(560)*-2 + sqrt(560) - sqrt(560)))/sqrt(10))/(sqrt(24)/sqrt(3)*-6)))**2.
-583/4 - 12*sqrt(7)
Simplify ((3*-4*(sqrt(4752) + -3*sqrt(4752) - sqrt(4752) - sqrt(4752)))/((sqrt(21) + sqrt(126)/(sqrt(18)/sqrt(3) + sqrt(6)))/(-2*sqrt(343))))**2.
317915136
Simplify 2 + -4 + (-4*(sqrt(10) + 5*sqrt(10))*-2)/(6*(sqrt(5) - (sqrt(5) - -1*sqrt(5))) + sqrt(5) + (-2*sqrt(500) - sqrt(500))).
-2 - 48*sqrt(2)/35
Simplify (6*-6*(2*(sqrt(320) + -1) + 5 + (sqrt(320)*1 - sqrt(320)))*3 + 3)**2.
1109376*sqrt(5) + 15032961
Simplify (-2*4*(3 + sqrt(1008)))**2 + ((3*(sqrt(189) + (sqrt(189) - -2*sqrt(189))) + sqrt(189))/sqrt(3))**2.
4608*sqrt(7) + 75735
Simplify (-1 + 3*sqrt(1331)*2*-2 + (1 + sqrt(55)/sqrt(5) + sqrt(11)*-2*4)*4)**2.
-960*sqrt(11) + 281609
Simplify (4*(2*sqrt(1053)*-4 + 2 + 4*sqrt(1053))*-6 + 4)**2.
-76032*sqrt(13) + 9706384
Simplify (-4*4*(3 + sqrt(68)*-2 + 0 + 5 + (sqrt(68) - (sqrt(68) + -4 + -4))))**2.
-32768*sqrt(17) + 135168
Simplify (4*((sqrt(114) - sqrt(114)*1)*-2 - sqrt(114))*-4)/(-5*(sqrt(600) + 1*sqrt(600))*1).
-4*sqrt(19)/25
Simplify 1 + -2*(-1 + 3*sqrt(225)/sqrt(5) + 2 + sqrt(180) + 4).
-30*sqrt(5) - 9
Simplify ((sqrt(312) - 5*(sqrt(312)*-1 - sqrt(312))) + sqrt(312)*-1*-1 + sqrt(312))/(sqrt(24)/(-1*sqrt(324))).
-234*sqrt(13)
Simplify ((-1*sqrt(72) + sqrt(18))*-4*-2)/((2*sqrt(96) - (sqrt(240) + sqrt(60))/sqrt(10))*3).
-8*sqrt(3)/15
Simplify (5 + -1*(6*(4 + sqrt(243) + -1) - (-1 + sqrt(243) + -3)*-1) + 4)**2.
630*sqrt(3) + 11932
Simplify -1*(-4*3*(sqrt(133) - (sqrt(133)*1 + sqrt(133))))/((2*sqrt(189)/sqrt(3))/sqrt(9)) + -5.
-6*sqrt(19) - 5
Simplify -4 + (((sqrt(352) + (sqrt(352)*-2 - sqrt(352 | {
"pile_set_name": "DM Mathematics"
} |
160 (d) 0 (e) -2/5
b
Let t = 1.382 - 0.382. Let b = 103/981 + 2/327. What is the third smallest value in 0.6, -2/7, b, t?
0.6
Let w be 7/1 + (-209)/38 - (-1)/(-6). What is the second biggest value in 7, -2, -16, 3, w?
3
Let d = -2456.327 - -2455.7. What is the biggest value in d, 3, 4/3?
3
Let g = -27218 + 27218. Let i = -8 + 7.7. What is the second smallest value in 4, i, 4/23, g?
g
Let t = 93 + -87. Let r(g) = -g + 1 - t + 1 - 11. Let p be r(-14). Which is the third smallest value? (a) -1/5 (b) 2 (c) -1/3 (d) p
a
Let y(w) = -w**3 + w**2 + 7*w - 3. Let i be y(3). Suppose -5*u - 24 + 9 = 0. Which is the fourth biggest value? (a) 1/32 (b) -1/6 (c) u (d) i
c
Let c be 2/12 - 66/(-36). Let a = 1864.4 + -1864. Let g = 0.1 - 0.1. What is the third biggest value in g, c, a?
g
Let r be 324/(-432)*(-10)/(-9). Which is the second biggest value? (a) 5 (b) -19 (c) r
c
Let v = 5847 + -5845. Let a = 0.2 - 0. Let m = -0.3 + a. What is the second biggest value in m, 5, v?
v
Suppose -14*g + 17*g - 19 = 2*m, 0 = -4*g - 4*m - 8. What is the second biggest value in -5, 0.1, -0.16, g?
0.1
Let r = 5420 - 5417.3. Which is the third smallest value? (a) -6.7 (b) 2/15 (c) -1 (d) r
b
Let j = -15135 + 181619/12. Which is the fourth smallest value? (a) 6/5 (b) j (c) 0.2 (d) 14 (e) -2/9
a
Let t = 15979 - 15992. Which is the biggest value? (a) -0.2 (b) -2 (c) 48 (d) t
c
Let u = 301.1 - 318. Let o = 14.4 + u. Which is the biggest value? (a) 3/4 (b) 1 (c) o (d) 2
d
Let k = -0.6 + 0.5. Suppose -21*t - 4035 = -4098. Which is the fourth biggest value? (a) 0 (b) k (c) 0.5 (d) t
b
Let a = 8493 - 8493.5. Let q = -14 - -21. Let v = q - 5. What is the biggest value in a, -1/3, v?
v
Let m = -4425 + 4424. Which is the fourth biggest value? (a) m (b) 0.1 (c) 24 (d) -5
d
Let k = 1 + -0.9. Let y = 91.82 - 93. Let t = -0.98 - y. Which is the second smallest value? (a) k (b) 3 (c) t (d) -0.5
a
Let w = -30 + 59/2. Suppose -58*x - 79 = -97 + 134. What is the fourth biggest value in -2/3, -3/4, x, w?
x
Let p be (0/(-6) - -5)/2 - 284/360. Which is the smallest value? (a) -1/2 (b) p (c) -1/12 (d) -1
d
Let h = 12409 + -49639/4. What is the fifth biggest value in -5/11, -1, 13, h, 4?
-1
Let p = 4236 - 4247. What is the second biggest value in p, -5, -2/5, -3?
-3
Let s = -8 + 10. Let t = 306 + -301. Which is the biggest value? (a) s (b) 1/6 (c) t (d) -5
c
Let b = 29 + -67. Let j = 42.273 + -0.273. Let q = b + j. What is the biggest value in q, -0.04, -4/7?
q
Let x(i) = 6*i**3 - i**2 - 3*i + 1. Let y be x(2). Suppose -38*q + 2 = -y*q. Let w = 0 - 0.2. Which is the third biggest value? (a) q (b) w (c) 0.2 (d) 0
b
Let x = -346 - -375. Let i = x - 28.6. Which is the fourth biggest value? (a) -5/2 (b) -2 (c) -4 (d) i
c
Suppose -50*f - 136 = -386. What is the smallest value in 1/3, f, -4, 20?
-4
Let j(b) = 198*b - 3370. Let x be j(17). What is the third biggest value in 14/5, 0, 2/81, x, -3?
0
Suppose 4*g = 10*g - 48. Let s be g/30*(29 - 26). Which is the biggest value? (a) -0.27 (b) 3 (c) s
b
Let f = 0.381 + 82.819. Let i = 67.2 - f. Which is the smallest value? (a) i (b) 0.5 (c) -2
a
Let l = -452.3 - -450. Let k = l + 1.8. Let r be (-2)/4 + (-1)/(-4). Which is the smallest value? (a) -0.1 (b) r (c) k (d) 4
c
Let k = -477 + 473. Let p be 14/(-12)*9/(-28). Let s(i) = -i**3 + 7*i**2 - i + 6. Let z be s(7). Which is the third biggest value? (a) k (b) z (c) p
a
Let p = 365 + -378. Let o = p - -14. Which is the second biggest value? (a) -0.3 (b) 18 (c) -0.01 (d) o
d
Let k = -3.4 + -11.6. Let g = k - 9. Let u = -16 - g. Which is the third smallest value? (a) 0.2 (b) u (c) -3
b
Let l = -1.025 + 1. Let r = -103.03 + 103.33. Which is the smallest value? (a) 5 (b) r (c) l
c
Suppose 2*j - x + 6 = -3*x, 3*j + x + 7 = 0. Let l = 3.3 + -3.697. Let g = -4.397 - l. What is the biggest value in j, g, 0.4, -4/5?
0.4
Suppose 43*q = 48*q + 1050. Let n be (q/2975)/(3/(-5)). Which is the second smallest value? (a) 1/4 (b) 0.4 (c) n (d) 0.3
a
Suppose 69 = -6*x + 981. Let o be (-1 - (-202)/210)/(x/(-380)). What is the smallest value in -4/5, o, -1?
-1
Let q be 68/51 + 50/30. Which is the second biggest value? (a) -1.73 (b) 1/2 (c) q
b
Let x = 196 - 70. Let n = -1606 - -1605.8. What is the second smallest value in n, x, 0?
0
Let f be (-2)/39 - 65790/(-105651). Which is the third biggest value? (a) -5 (b) -2/3 (c) f (d) 1/3 (e) 32
d
Let q = 364.95 + -360.95. Which is the smallest value? (a) 31 (b) 5 (c) 0 (d) q (e) -3/8
e
Let q = 2.2831 + -2.2321. What is the fourth biggest value in -1, 2/3, 0.2, q, 0.1?
q
Let z = 28234.09 + -28234. Which is the second biggest value? (a) 30/11 (b) z (c) -4
b
Let k be 176/(396/(-18)) - 60/(-9). Which is the smallest value? (a) -0.4 (b) k (c) -2/11 (d) -603 (e) 2/11
d
Let h be 1/3 + (-20)/6. Let s = 128 + -124.53. Let d = s - 3.37. What is the smallest value in 15, d, h?
h
Let k = 36.5 + 25.5. Let d = -62 + 5. Let o = k + d. Which is the smallest value? (a) 2 (b) 8 (c) o
a
Let d = -2824.1 + 2828. Which is the second biggest value? (a) 6 (b) d (c) 0.3
b
Let u = -0.9796 + 1.1796. Which is the smallest value? (a) 16 (b) -5 (c) u (d) -1 (e) 0.3
b
Let m = 84277.4 + -84277. Let g = 0.1 - 0.3. What is the third biggest value in 0.3, m, 3/4, g?
0.3
Suppose -9457*f = -9449*f + 464. Suppose -94 = -4*u + 134. Let m = f + u. What is the smallest value in 0, 1, m, -4?
-4
Suppose -695 = 19*i + 70*i + 50*i. Let l = -1.4 - -1. Let k = l + 5.4. Which is the third biggest value? (a) i (b) -1/5 (c) k
a
Let t be 2*((-12)/(-76))/3. Let o = 17788.3 - 17788. Which is the second smallest value? (a) t (b) o (c) -9/4
a
Suppose 4*y - 26 = 2*b, -4*y + 29 = -981*b + 976*b. What is the fourth smallest value in b, -0.06, -4/5, 5/3?
5/3
Let a = -1276 + 890. Let h = 390 + a. What is the second biggest value in -0.15, h, -0.5?
-0.15
Let i = 0.5 - -1.5. Let s be (-120)/14*((-462)/4)/(-11). Let z = s - -541/6. Which is the biggest value? (a) i (b) -4 (c) z
a
Let z = -0.5 - 2.5. Let i(h) = 7*h**2 - 8*h - 49. Let o be i(-6). Let l = o + -250. Which is the second biggest value? (a) 0.3 (b) l (c) 0.1 (d) z
a
Let y = -353 - 59. Let j = y - -415. Which is the fourth smallest value? (a) -2 (b) -5 (c) 5 (d) j
c
Let r be (5/((-50)/8))/2. Let u be ((-6)/10)/(3 + 56/(-20)). Let a be (-8)/(-20) + 196/60 + u. What is the smallest value in -4, r, a, 0.5?
-4
Let q(u) = u - 20*u**2 - 23*u**2 + 41*u**2 - 2*u**3 - 1. Let h be q(0). Which is the biggest value? (a) -2 (b) -1/3 (c) h
b
Suppose -19*d = 5*f - 10*d + 35, -d + 69 = -4*f. Which is the second smallest value? (a) 3 (b) f (c) 0.5
c
Let m = -4139 - -4143. What is the smallest value in 1/7, m, 0.2, 42/19, -6?
-6
Let i(g) = g**2 - 24*g + 68. Let u be i(3). Let q = 294 - 658. Let s = 6190/17 + q. Which is the third smallest value? (a) u (b) 0.2 (c) s (d) 0
b
Let d be (-2)/4 - (513/(-162))/19. What is the fourth biggest value in d, -0.2, -2/71, -1?
-1
Suppose -v + 21 = -2*w, -16 = -4*v - 4*w - 4. Which is the fourth smallest value? (a) 2/9 (b) 0.1 (c) -0.09 (d) v
d
Let f be -2*(-8)/(-21 + 13). What is the biggest value in -0.8, 5, 2, f, 5/2?
5
Let q be (21 + 208/(-8))/1. What is the fourth smallest value in q, 1/6, 0.2, -1319?
0.2
Let i be 2/6 - (4 + 621/(-162)). Which is the second smallest value? (a) -2 (b) 5 (c) i
c
Let i(s) = s**2 + 9*s + 3. Let p be i(-7). Let k = -11/2 + 5. Suppose h = 6*h + 10. Which is the second biggest value? (a) k (b) p (c) h
c
Let r be 6/(-4) + (-13825)/1950. Let o = r + 90/13. Which is the third biggest value? (a) 1 (b) o (c) 0 (d) -1/3
d
Let b = -883787/285 + 3101. Let h = b - 556/1995. Let i = -41.15 - -36.15. What is the second smallest value in h, 3/7, 0, i?
h
Let w be 7/3 - -1*(-36)/54. Suppose 4*x + 163 = -i, 5*i - x + 128 = -792. What is the third biggest value in i, w, 2?
i
Let u = 253 - 2789/11. What is the second smallest value in -13, u, 3, -1.6?
-1.6
Let a = -2613 + 2633. What is the second smallest value in -0.2, a, 4?
4
Let n be 2/84*3*-2278. Let o = 163 + n. Let d = 0.146 + 0.054. Which is the second biggest value? (a) o (b) d (c) 5
a
Let r = 70 + -72. Let x be 10/6*20/(-100). Which is the th | {
"pile_set_name": "DM Mathematics"
} |
ded by h(3)?
2
Suppose h - 7 = -0*h. Let s(b) = -b**2 + b + 20. Let m(j) = -j**2 + 7*j + 8. Let k be m(8). Calculate the remainder when s(k) is divided by h.
6
Suppose -2*g = 2*g - 8. Let u(w) = 4*w. Let a be u(g). Suppose -5*k + a + 37 = 0. What is the remainder when k is divided by 5?
4
Let h(y) = 6*y + 10. Let n be h(-4). Let k = n - -24. Let i(a) = a**3 - a**2 - a + 37. What is the remainder when i(0) is divided by k?
7
Let v = -84 + 167. Calculate the remainder when v is divided by 28.
27
Let r = 11 + 10. What is the remainder when 39 is divided by (-8)/(-3)*r/4?
11
Let x = -4 - -8. Calculate the remainder when 10 is divided by x.
2
What is the remainder when 14*(90/(-140))/((-3)/16) is divided by 25?
23
Let x = 12 - 0. What is the remainder when 23 is divided by x?
11
Let r = -59 + 62. What is the remainder when (8/(-6))/((-4)/18) is divided by r?
0
Suppose 4*m + 144 - 148 = 0. What is the remainder when (-1)/(-1*1) - -1 is divided by m?
0
Suppose 13 + 9 = -2*g. Let o(m) = -m**2 - 12*m + 2. Calculate the remainder when 51 is divided by o(g).
12
Suppose -31 = -3*d - n - 0*n, 2*d + 2*n - 22 = 0. Let k = -1 + d. Calculate the remainder when ((-1)/(-1))/((-4)/(-60)) is divided by k.
6
What is the remainder when 101 is divided by (5/(-2))/((-85)/884)?
23
Let p = 154 + -138. What is the remainder when 62 is divided by p?
14
Suppose -2*a - 1 = 5. Let m(r) = -17*r - 1. Let q be m(a). Suppose 5*b - 10 - q = 0. Calculate the remainder when b is divided by 7.
5
Let f be (-1)/(((-6)/2)/27). Suppose -30 = -2*o + 4*q, 2*q = -2*o + f + 9. Calculate the remainder when 30 is divided by o.
8
Suppose 370 = 4*x - 0*x + 3*j, -354 = -4*x + 5*j. Suppose -5*m - 26 = -x. What is the remainder when 23 is divided by m?
10
Suppose -7*g + 9 = -516. What is the remainder when g is divided by 38?
37
Let u = -47 + 67. Let m(t) = 29*t**2. Let x be m(-2). Suppose 0 = c - 3*c + x. Calculate the remainder when c is divided by u.
18
Let j = 32 - 26. Calculate the remainder when 11 is divided by j.
5
Let g(b) = 5*b - 11. Calculate the remainder when g(6) is divided by 10.
9
Let u(v) = v**2 - 4*v - 10. Let z be u(8). Suppose 0 = -d - 0*d + 4*q + 38, -2*d + 2*q = -76. Calculate the remainder when d is divided by (4 - 6)*1 + z.
18
Suppose 5*x + 28 = 103. Suppose -2*j - 3*j = 3*i - 77, 2*i = -4*j + 50. What is the remainder when i is divided by x?
14
What is the remainder when 3*102/9 + -1 is divided by 12?
9
Let i be 38/2 - -2*2. Let w = i + -8. Suppose 2*d - 7*d = 2*k - 71, 5*d - 99 = -3*k. What is the remainder when k is divided by w?
13
Let i(v) = 17*v - 6. Let p(o) = -o - 2. Let z be p(-4). What is the remainder when 109 is divided by i(z)?
25
Let z = 5 + 0. Let l be (22 - (-2 - -1))*1. Suppose z*x = -v + 123, -v + 74 - l = 2*x. Calculate the remainder when 71 is divided by x.
23
Suppose 0 = 5*v - 5 - 15. What is the remainder when 25 is divided by v?
1
Let c = 20 + -6. Let q(n) = 3*n**2 + 5 - 7*n**2 + n**3 + 5*n - 3*n**2. What is the remainder when q(7) is divided by c?
12
Let c be 29/(-2) + (-30)/20. Calculate the remainder when 18 is divided by 10/(-4)*c/8.
3
Let z = 6 - 16. Let s be 2/(-5) + (-4)/z. Suppose 4*y - 2*j = 74, -2*y + 3*j + 7 + 32 = s. What is the remainder when y is divided by 10?
8
Suppose -16*s + 5*s = -825. What is the remainder when s is divided by 16?
11
Let u(k) = -k**3 + 6*k**2 + 5*k - 7. Suppose -n = -0*n - 8. Calculate the remainder when u(6) is divided by n.
7
Suppose -3*i + 3 = -6, -l - 3*i + 11 = 0. Suppose 0 = l*t - 28 - 4. Let q(n) = -n**3 - n**2 - 4*n - 3. Calculate the remainder when t is divided by q(-2).
7
Calculate the remainder when (1 - 166)*(-6)/10 is divided by 34.
31
Let j(n) = n + 7. Let w be j(-5). Suppose -y = -3*m - 4*y + 42, y = -w*m + 23. What is the remainder when 26 is divided by m?
8
Let l = -87 - -91. Let c(o) = -o**3 + 6*o**2 - 6*o + 5. Suppose 0*w - 16 = -4*w. What is the remainder when c(w) is divided by l?
1
Let g = -11 + 7. Let p = g + 10. Let k(m) = 2*m**2 - 7*m - 8. What is the remainder when k(p) is divided by 8?
6
Suppose 5 - 33 = -4*t. What is the remainder when t is divided by 2?
1
Suppose -1 = -c + 2. Calculate the remainder when 28*(6/c - 1) is divided by 13 + 6/((-2)/1).
8
Let v be 1/4 - (-33)/12. Suppose -4*q + 1 = -v*q. Let s(c) = 9*c**2 - c + 1. What is the remainder when 16 is divided by s(q)?
7
Suppose -7*f = -10*f + 57. Calculate the remainder when f is divided by 5.
4
Suppose x - 4 = -0. Suppose -x*v + 5*m + 24 = 0, 2*v - m - 3 = 3*v. What is the remainder when 1 is divided by v?
0
Suppose -5*q = -2*r - 193, q - 121 = -2*q - 4*r. Suppose -7*p + 2*p + 100 = 0. What is the remainder when q is divided by p?
19
Let f(c) = -c**3 + c + 11. Let p(n) = -n**3 + 7*n**2 + 8*n. Let g be p(8). What is the remainder when 20 is divided by f(g)?
9
Suppose 0 = -0*n - 2*n + 3*p + 6, -n + p + 3 = 0. Suppose -n*y + 5*y = 0. Suppose y*f = -3*f + 66. Calculate the remainder when f is divided by 8.
6
Suppose 0 = -2*d + 3*d + 3*n - 13, 5*n + 5 = d. What is the remainder when 89 is divided by d?
9
Suppose 0 = -2*k - 6*k + 488. Let b = -35 - -56. Calculate the remainder when k is divided by b.
19
Suppose 4*w - 2*o = -6, 6*w = 3*w + 4*o - 17. Let j(s) = -3*s. Let t be j(-2). Suppose -u = -t*u + 5. What is the remainder when u is divided by w?
0
Suppose 5*y - y - 4 = 0. Calculate the remainder when 2 is divided by y.
0
Let i = 32 + 6. What is the remainder when i is divided by 3?
2
Let l be (21/12)/(2/40). Suppose s + u - 10 = 0, 3*u - 5 = s - l. Calculate the remainder when s is divided by 8.
7
Suppose -3*f - 5*h + 12 = 0, -4*f - h = 2*h - 16. Suppose 7 = f*v - 125. What is the remainder when v is divided by 9?
6
Suppose 2*p = 5*o + 157, -4*o = 5*p + o - 340. Let d = -25 + 49. Calculate the remainder when p is divided by d.
23
Suppose d + d + 6 = 5*g, -4*g - 3*d = -14. Let f(a) = a. Let i be f(-4). Calculate the remainder when g is divided by ((-1)/(-2))/((-2)/i).
0
Let p = -117 + 185. What is the remainder when p is divided by 24?
20
Let f be 60/14 - (-2)/(-7). Let c be (2/f*10)/1. Suppose 4*r - 3*t = c, r - 6*r - t = -11. What is the remainder when r is divided by 1?
0
Suppose -7*h = -46 - 73. Suppose -2*g = -5*v - 0*v - 76, 0 = -3*v - 6. What is the remainder when g is divided by h?
16
Suppose -5*t + 3*s + 49 = 0, -52 = -t - 4*t + 4*s. Suppose 0 = 4*q - 3*q - t. What is the remainder when q is divided by ((-4)/(-6))/((-16)/(-72))?
2
Let u be (-1 + 4/(-6))*-57. Let f = u - 57. Suppose -w - f = -n + 3*w, 5*n + 3*w = 144. Calculate the remainder when n is divided by 16.
14
Suppose 0*n = -3*n + 15. What is the remainder when (7/2)/((-6)/(-24)) is divided by n?
4
What is the remainder when (-119)/(-3) - (-2)/6 is divided by ((-44)/33)/(2/(-21))?
12
Let x(y) = 3*y**2 + 2*y + 1. Calculate the remainder when 40 is divided by x(-2).
4
Let x = -5 - -2. Let m be (1 + x/6)*-2. What is the remainder when 28 is divided by (18/12)/(m/(-10))?
13
Let n = 219 + -211. What is the remainder when 37 is divided by n?
5
Let c(y) be the second derivative of y**4/12 - y**3/6 + 2*y**2 - 2*y. Calculate the remainder when (-6)/(-9) - (-278)/6 is divided by c(4).
15
Let k = 5 - 9. What is the remainder when (-2)/k*(15 + -1) is divided by -2*1*(-21)/14?
1
Let u = 26 - 19. What is the remainder when 17 is divided by u?
3
Let l = -2 + 19. Suppose -4*r = -5*j + 45, -2*r + 2 - 47 = -5*j. Calculate the remainder when l is divided by j.
8
Suppose -4*j + 8 = -172. Suppose -5*q + j + 60 = 0. Calculate the remainder when 61 is divided by q.
19
Suppose 485 = -l + 6*l. Calculate the remainder when l is divided by 33.
31
Let n = 2 + -2. Let k(c) = -c**2 + 44. Calculate the remainder when k(n) is divided by 23.
21
Suppose 4*z + 3*i = 618, 0*i + 771 = 5*z + 3*i. What is the remainder when z is divided by 22?
21
Suppose 3*v + 3*s + 6 = 0, 4*v + 5*s - 3 = -15. Suppose -13 + v = -a. What is the remainder when 32 is divided by a?
10
Let l = 17 + 3. Calculate the remainder when 56 is divided by l.
16
Calculate the remainder when 152/(-6)*(-39)/26 is divided by 22.
16
Suppose -5*b = -2*c + 14 + 6, -2*c - b = -32. Suppose 2*o = 36 + 48. Calculate the remainder when o is divided by c.
12
What is the remainder when 12 is divided by -3*(-3)/6*2?
0
Let m = -241 + 408. What is | {
"pile_set_name": "DM Mathematics"
} |
9)*42/560?
3/4
What is the value of ((-28)/5)/(2471/10590)?
-24
What is the value of (-8)/(-76)*(-279)/558?
-1/19
What is (-200)/(-32100)*107*1/(-5)?
-2/15
What is (-10)/(-3)*714/833*(-7)/(-4)?
5
Calculate ((-3)/(-4))/(-2*27/48)*9.
-6
Evaluate -6*2/2*(-21)/(-210)*-5.
3
Calculate (162/(-240))/((-249)/(-332)).
-9/10
What is ((-54)/(-21))/((-120)/(-280))?
6
Calculate (((-540)/550)/(-27))/(6/(-15)).
-1/11
What is the value of 2*(-22)/154*(-35)/(-60)?
-1/6
What is (28/140*15)/((-2)/(-2))?
3
((-1)/(-3))/((-13)/(-2925))*17/85
15
Evaluate (-6)/(-1)*(-448)/128.
-21
What is the value of (30/(-60))/(7/2)?
-1/7
What is ((-76)/1425)/((-6)/15)*-35?
-14/3
What is ((-13)/(-39))/((12/(-15))/(-4))?
5/3
What is ((-16)/(-176))/((-198)/(-121))?
1/18
What is (2/(-3))/((795/180)/53)?
-8
What is (147/245)/(3/2)?
2/5
What is 702/14742*(-3)/9*(-18)/(-5)?
-2/35
What is the value of (152/(-8))/(29/(-29))?
19
((-5)/((-75)/(-6)))/(100/4250)
-17
What is 9/(-459)*-17*33/(-1)?
-11
What is the value of (132/(-308))/(252/1078)?
-11/6
((-1)/9)/(((-319)/87)/11)
1/3
What is the value of (-140)/70*(-2)/20*-2*1?
-2/5
Calculate 147/735*3/(3/10)*7.
14
Calculate (-288)/(-144)*2/20.
1/5
What is (-1135)/454*2/(-9)?
5/9
Evaluate ((-13)/78)/(40/1080).
-9/2
What is ((-6)/44)/((-174)/(-348))?
-3/11
Calculate (808/(-303))/(3*18/(-567)).
28
Evaluate 70/(14/2)*2/(-2)*1.
-10
Evaluate (-24)/540*25*(-1)/(40/16).
4/9
Evaluate (2*-8)/4*3068/944.
-13
((-4)/(-6))/(4*(-17)/(-714))
7
((-12)/(-8)*4/(-2))/(45/30)
-2
Evaluate 15*(8/(-7))/(78/455*-5).
20
(-4)/((((-20)/5)/(-4))/(3/(-114)))
2/19
Evaluate 12288/(-1792)*(-7)/4.
12
Evaluate (8/14)/((-156)/546)*21/(-6).
7
What is the value of ((13/78)/(11/3))/(-1)?
-1/22
Evaluate 2*((-9)/(252/(-8)))/((-8)/(-112)).
8
(12/390)/(4/(-60))
-6/13
Calculate ((-164)/2132)/((-3)/(-13)).
-1/3
Evaluate ((-90)/(-54)*-57)/5.
-19
What is the value of -1*(147/(-1176))/(2/2)?
1/8
What is the value of (30/8)/3*(-13)/((-1443)/148)?
5/3
What is (69/46)/((-7)/(-70))?
15
(80/100)/(3*((-6)/5)/(-3))
2/3
What is the value of 2*(195/182)/5?
3/7
What is (2/(-2)*1)/(7/112*8)?
-2
(9/10)/(825/2750)
3
Evaluate ((416/(-256))/((-1)/(-2)))/(-13).
1/4
What is the value of (((-540)/12)/(-5))/(-6)?
-3/2
-9*(-28)/(-10080)*-1
1/40
What is the value of (-72)/45*(10/(-6))/((-24)/(-54))?
6
((10900/(-50))/(-109))/(((-80)/(-6))/(-2))
-3/10
What is (75/(-100))/((-45)/(-200))?
-10/3
(39/(-13))/(-9)*-33
-11
(121/(108900/(-240)))/(2/10)
-4/3
What is the value of (8/((-256)/(-56)))/((-1)/12*3)?
-7
What is 39/182*21*6/27*6?
6
What is the value of (13*(-20)/5460)/((-10)/7)?
1/30
What is the value of 12/(-4)*(-56)/(-560)*(-12)/(-9)?
-2/5
What is ((-28)/((-896)/120))/3?
5/4
Calculate (-70)/(1260/(-162))*3/(-6)*-2.
9
Evaluate (((-1)/((-6)/(-60)))/(-12))/(20/36).
3/2
(-110)/(-462)*(-588)/(-30)
14/3
What is ((-22)/(-330))/((-6)/(-20))?
2/9
What is ((-13)/2)/((-21)/42)?
13
Calculate (15/150*-10)/(4/60).
-15
What is (((-48)/(-308))/3)/(2*3/63)?
6/11
What is the value of ((-4)/(-2))/42*6?
2/7
Calculate ((320/6)/(-16))/(-2).
5/3
Calculate (1/18)/(253/1012)*9/31.
2/31
What is (-1)/(-3)*597/(-398)?
-1/2
What is the value of (2*30/1120)/(((-10)/7)/5)?
-3/16
What is (-4*1/3)/(((-4)/(-15))/2)?
-10
Calculate ((-14)/245*5/(-21))/((-1)/(-7)).
2/21
Evaluate (222/(-333))/(2/3).
-1
What is (80/1120)/(((-14)/(-12))/(-7))?
-3/7
(-112)/(-32)*-1*63/(-49)
9/2
What is 1/(3*2/30)*(-4)/(-16)?
5/4
((95/(-4))/(-5))/((975/(-52))/75)
-19
What is the value of ((-4)/(-6))/((-12)/(-90))?
5
What is the value of ((-20)/(-14))/(2025/22680)?
16
What is the value of (-9)/12*324/(-810)?
3/10
Evaluate ((-41)/((-492)/(-18)))/((15/22)/5).
-11
Evaluate (-13)/13*(21/3)/(-1).
7
Calculate (14/6)/(5*1/(-30)).
-14
Calculate (-36)/21*3395/485.
-12
Evaluate (1/2)/(14/56).
2
What is (13/5)/(266/1330)?
13
Evaluate (1872/720)/((-1)/5).
-13
Calculate 2/(81/((-98901)/(-74))).
33
((-44)/(-66))/(2/48)
16
(20/(-35))/(1003/(-413))
4/17
What is the value of (304/(-285))/((-29)/((-1595)/(-66)))?
8/9
What is (225/50)/(8/((-128)/60))?
-6/5
What is (4/(-3))/((-30)/27)*(-50)/40?
-3/2
(18/10)/(18*16/(-1920))
-12
What is ((-2)/10)/(((330/12)/5)/(-1))?
2/55
What is ((4/(-2))/18)/((-385)/(-5775))?
-5/3
What is the value of (21/399*19/2)/(11/24)?
12/11
Evaluate (24/54)/((-40)/(-180)).
2
Calculate ((-2)/(-2))/(35/(420/(-36))).
-1/3
((-2835)/126)/(2*10/(-32))
36
What is (-931)/(-2527)*(6/(-21))/1?
-2/19
Evaluate ((-542)/(-813))/(4/2*(-4)/12).
-1
What is the value of (-1)/((2/((-56)/35))/((-5)/3))?
-4/3
Evaluate 1/6*-35*5/175.
-1/6
2/4*72/36
1
(-182)/(-10)*(-135)/(-189)
13
What is the value of (8/6)/(532/(-2394))?
-6
Evaluate ((-10)/3)/((-2135)/(-10248)).
-16
What is (-1)/(1/(72/16*-2))?
9
What is the value of ((-1)/(-2))/((-306)/(-765))?
5/4
Calculate (10/(-915))/(42/126).
-2/61
Evaluate 12/336*(-8)/7*182/156.
-1/21
Evaluate 4/((-64)/3)*(-6)/72*-16.
-1/4
What is the value of (162/3645)/(((-4)/(-2))/(-20))?
-4/9
What is the value of (11/(-44))/(10/(-40))*-19?
-19
8/(-5)*7*60/168
-4
Calculate 4/(48/(-140))*(-174)/145.
14
Evaluate (14/4)/((-42)/224*-8).
7/3
Evaluate 4/(((-2)/(-8))/(75/150)).
8
Calculate (-5)/(5/22)*54/((-10152)/(-94)).
-11
(-74)/(-12)*-2*1539/(-513)
37
What is the value of (12/(-8))/(-18*(-6)/(-288))?
4
Calculate 4/(-14)*(-32)/(-24)*150/(-80).
5/7
1/1*(-6)/12*198/(-11)
9
What is the value of (270/(-75))/(18/45)?
-9
Evaluate -9*16/144*-6*-2.
-12
Evaluate ((-26)/78)/(6/(-18)).
1
What is the value of (-5)/6*(-2)/(-75)*6?
-2/15
Evaluate 45/288*(-1980)/825.
-3/8
Calculate ((-7)/6)/(100/600).
-7
What is the value of (765/(-238))/(-45)*(-8)/4?
-1/7
What is (3/(-30))/((-19)/(-646)*1)?
-17/5
(-1*4/(-20))/(77/1925)
5
Calculate 45/(-210)*7*((-2128)/21)/(-8).
-19
What is the value of 12/(-180)*(-4)/(16/(-6))?
-1/10
What is 110/(-1188)*-9*3/5?
1/2
(642/3210)/((8/6)/(-2))
-3/10
Calculate (8/(-128)*-8)/(10/200*265).
2/53
Evaluate (43/903)/((-3)/14)*-15.
10/3
What is the value of ((-3213)/(-84))/(-51)*(-24)/126?
1/7
What is the value of -20*(-60)/800*(-10)/9*-6?
10
((42/(-30))/(-7))/(-13*(-171)/1170)
2/19
Calculate 8/(112/(-42))*(-1)/1.
3
What is 1/30*(-21480)/3222?
-2/9
Evaluate (-2)/(-2)*97/(-776).
-1/8
((-18)/24*120/(-18))/(25/30)
6
What is (5/(-1))/((-44)/((-5016)/38))?
-15
Evaluate 9/54*15*((-66)/(-275))/(-3).
-1/5
What is -14*90/(-525)*2/((-4)/3)?
-18/5
Calculate ((-22)/10*1)/(11*24/(-1320)).
11
Evaluate (8/(-16))/(-3*14/(-24)).
-2/7
Evaluate (-2)/(-4)*4*(32/16)/128.
1/32
Evaluate ((-108)/(-81))/((16/(-15))/8).
-10
Calculate ((93/(-9))/1)/(((-188)/141)/4).
31
What is ((-39)/(-18))/(302/906)?
13/2
Calculate (33/110)/((-45)/(-120)).
4/5
Calculate (-12)/(-5)*(-1185)/1896.
-3/2
Evaluate ((-3)/2)/((-282)/(-1504)).
-8
What is ((-72)/3)/(1*(-4)/(-2))?
-12
2/((-34)/(238/189))
-2/27
What is -2*(-11)/(-44)*(-72)/3*1?
12
Calculate ((2205/42)/(-35))/(2/(-40)*-42).
-5/7
What is (19992/(-221))/49*4/(-16)?
6/13
2904/1815*75/12
10
What is the value of (264/36*4*(-6)/(-16))/(-1)?
-11
Calculate (54/252)/(4/(320/30)).
4/7
Calculate (6/35)/(((-407)/220)/37*-6).
4/7
What is (3/(-180)*-6)/(14/(-14))?
-1/10
What is (48/(-216))/(14/18*-1)?
2/7
What is (15/2)/(-5)*145/(-4350)?
1/20
Calculate (312/624)/(7/(-4)).
-2/7
What is (3/8)/((-266)/(-4256))?
6
What is the value of ((-1100)/(-40))/55*-2?
-1
Calculate 1/(-7)*-2*6902/2465.
4/5
(((-18468)/(-48))/(-27))/(9/(-12))
19
What is (-2)/12*(-1668)/1946?
1/7
What is the value of (((-928)/48)/29)/(22/(-99))?
3
Evaluate ((40/(-5))/8)/(9*(-2)/(-18)).
-1
(666/(-1184))/(8/(-64))
9/2
What is ((-30)/(-25))/((-55)/(-275))?
6
35/((-3850)/33)*5
-3/2
Evaluate (-20)/330*-44*45/(-84).
-10/7
What is (-1220)/(-549)*((-6)/(-10))/(28/(-70))?
-10/3
What is (-39)/(((-7)/(49/3))/(10/(-35)))?
-26
What is the value of (-2)/(-10)*-40*9/(-4)?
18
Evaluate (-3416)/976*2/5.
-7/5
What is the value of 9/(225/(-80))*(-8)/64?
2/5
What is ((26/(-91))/(-2))/(6/462)?
11
Calculate (96/240)/(56/(-60)).
-3/7
Calculate (-49)/490*(-12)/(48/10).
1/4
What is the value of (192/60)/8*(-5)/(-33)*6?
4/11
What is (54*(-20)/(-7200))/(8/10)?
3/16
((-496)/(-2976))/((-4)/(16/(-3)))
2/9
What is (((-608)/(-3800))/((-28)/10))/((-6)/(-10))?
-2/21
Calculate (-95*82/(-1025))/(2/(-5)).
-19
20/(-440)*11*2
-1
What is the value of ((-24)/(-1036))/((-1443)/3367)?
-2/37
Evaluate (-1*(-1)/(-4))/(26*(-78)/(-5408)).
-2/3
| {
"pile_set_name": "DM Mathematics"
} |
4*(-4)/(-6). Let f = -5045 - -5040. Let n = 41/2 + -21. Which is the nearest to n? (a) t (b) f (c) 2
a
Let f be (24 + 106820/(-4459))/(1 - (-10)/(-14)). What is the nearest to 2 in 4, 3, f?
3
Let l = 5916 + -5915. What is the nearest to l in -605/4, 4, -1/4?
-1/4
Let g = 0 - 1. Let s = 0.7 - 12.2. Let t = 11.8 + s. What is the closest to 1 in -4, t, g?
t
Suppose -k + 3 = t, 5*t - 133336*k - 3 = -133337*k. Let j be (-1 - 0)/(2/(-4)). What is the nearest to t in -4/7, j, 0, -10?
0
Let z = 0.4283 + -0.3957. What is the nearest to z in 0.4, -1/2, -4, -1/8?
-1/8
Let l = -278/11 - -3592/143. Which is the nearest to 0? (a) l (b) -4/5 (c) 2/47 (d) -4
c
Let p = 54 + -56. What is the nearest to 0 in 1, -0.2, p, -60?
-0.2
Let s = 0 + -8. Let d = -553 + 552. Which is the nearest to d? (a) 0.2 (b) s (c) 4
a
Let p be 315/56 - 6 - 5/(880/(-34)). What is the nearest to -2 in -2, 2.9, p?
-2
Let c = -55.82 - -51.82. What is the closest to -2/7 in 2, 71, c, -3/2?
-3/2
Let m = -487 - -482. Let q be 345/(-138) - -1*(-3)/2. What is the nearest to -2 in -2/11, m, 5, q?
-2/11
Let f = -18.538 - -18.6. Let m = f + -0.032. What is the nearest to 1/6 in m, -0.2, -0.4?
m
Let u = -3701 - -3670. What is the closest to 0.2 in u, 2, 5/4, 3/2?
5/4
Suppose x = n + 6, 0*n + 2*n = 5*x - 24. Let g be 24/(-32) + (0 - n/8). What is the closest to -4 in 0.2, -0.1, g?
g
Let s(q) = -219*q - 17741. Let d be s(-81). Let m be 47/42 + 6/(-21). What is the closest to m in 5/4, 2/11, d?
5/4
Let g = -69 + 209/3. Let o = -782 + 782. What is the nearest to o in g, 1, 0?
0
Let a be (51*1/36)/(-1). Let h = 7/6 + a. Let v = 11.9 - 12. What is the nearest to -1 in 2, v, h?
h
Let r(x) = -x**2 - 7*x + 7. Let y be r(-8). Let t be (-3 - -4)/(18/(648/(-234))). Which is the closest to 1? (a) t (b) y (c) 1/5
c
Let q = 370.5 + -370. Which is the closest to -9? (a) -0.1 (b) -2 (c) -0.3 (d) q
b
Let v = 0.2312 - 0.1312. Which is the nearest to -9? (a) -0.4 (b) v (c) -0.1
a
Let y = -307.01 + 307. Let f = -0.49 + y. What is the nearest to -0.1 in -0.1, 9, f, -6/11?
-0.1
Let t = -526 - -318. Let v = t + 207.588. Let k = v + -0.088. Which is the nearest to -1.3? (a) k (b) -0.4 (c) 0.2
a
Let s = -2.1756 + 4.7756. Which is the nearest to -0.05? (a) s (b) -0.1 (c) 2 (d) -3
b
Let s = -93 - -93. Suppose g - 4 + 2 = s. Suppose 4*t = -2*z - z - 14, -2*t = -g*z. What is the nearest to 2/3 in -2/11, 2, t?
-2/11
Let u be (-27)/(-45) - (3672/45)/6. Which is the closest to 0.1? (a) 1 (b) u (c) 4 (d) 2/3
d
Let q = -298 - -294.56. Let n = q - -3.04. Let h = 1 - 0. Which is the closest to -2/5? (a) h (b) n (c) 3
b
Let d = -2/137 + 145/548. Suppose 2*u - 3*x = 11, -4*u + 40 = 5*x + 29. Which is the closest to -0.1? (a) u (b) d (c) -3/5
b
Let s = -1 + 2. Let q = -0.5272 + 0.6372. What is the nearest to 0.1 in -5, q, s?
q
Let k = -696/17 + 3514/85. Which is the closest to k? (a) -4 (b) -2 (c) 0.4 (d) -32
c
Let s = -36853 + 36855. Which is the nearest to s? (a) -2/31 (b) 2 (c) -4 (d) 3/2
b
Let u be 51/(-204)*(-8)/17. Which is the nearest to u? (a) 3/8 (b) -2/5 (c) -3 (d) 0.1
d
Let a = 19.861 - 0.161. Let v = 7 - -14. Let l = a - v. What is the closest to 2/5 in 1, 1/6, l?
1/6
Let h = -2.34557 + 0.34557. Let n = 2.9 + 0.1. Which is the closest to h? (a) 5 (b) n (c) 0.4
c
Let j = -121.464 - -121. Let w = 0.064 + j. Let t be (-2)/(-4) + (-4)/10. Which is the closest to 2/3? (a) -2 (b) w (c) t
c
Let y = 0.3 - 1.3. Let x = 11198 + -11202. Which is the nearest to 3/11? (a) 1 (b) y (c) x
a
Let h = -16651.5 - -16651.4. Let q = 0.04 + 1.96. Which is the closest to -0.1? (a) q (b) h (c) -5
b
Let w be (-10 - -8)*2/(-1). Let j = -3454 - -3451. Which is the closest to -1? (a) j (b) -0.02 (c) -2 (d) w
b
Let l be 12*((-25)/10 + 32/14). Let j = l - -43/14. What is the closest to -0.1 in -5, j, -4?
j
Suppose -419*n - 1728 = 426*n - 849*n. Which is the nearest to n? (a) -4 (b) -1 (c) 2
c
Let h = -11.05 + 14.05. Let m = 5 - 8. Let v = h + m. What is the closest to 2/7 in 5, 0.09, v?
0.09
Let t be ((-99)/8646)/((5 + 46/(-8))*-1). Which is the closest to 0.35? (a) t (b) 0.2 (c) -1
b
Let n = 296 + -283. Let h = 15.3 - n. Let j = -1 - -1. What is the closest to 1 in -0.4, h, j?
j
Let z = -311 + 296. What is the nearest to 0.5 in z, 4/3, -1/2?
4/3
Suppose -180*p + 10 = -175*p. Which is the closest to 5? (a) -13 (b) p (c) 0.13
b
Let v = 7.401 + -2.165. Let w = v - 0.236. Which is the closest to 1? (a) -0.14 (b) 1/11 (c) w (d) 2
b
Suppose -2*h = -3*t + 18 + 15, h + 4*t = 0. Let i be 8/24*(h - -6). Which is the closest to 18? (a) 4 (b) i (c) 1/12
a
Let o = -343/1665 - 3/185. Let h = -3715 + 11150/3. Let x = 0.4 + -0.3. What is the nearest to o in h, x, -1/3?
-1/3
Let d = 9204 - 9203.31. What is the nearest to -3 in d, 4, 3?
d
Let u be (1/(-2))/(170/100). Let z = 59/85 + u. Which is the nearest to -1? (a) -0.2 (b) 5 (c) z
a
Let z = 18658 + -18656. What is the closest to z in -17/8, -1/4, -0.1, 1?
1
Let w(p) = 82*p - 718. Let q be w(9). Let a be (-10)/2 - 0/1. What is the nearest to -1/4 in q, a, -5/2?
-5/2
Let y = -1.15 - -1.62. Let q = 0.17 - y. Let o be 1 + (6/(-2))/1. Which is the closest to o? (a) 0.1 (b) q (c) -1/2
c
Let q = 11 + -20. Let n = -1.17 - -57.17. Let f = n + -56.2. Which is the nearest to f? (a) q (b) 5 (c) 4
c
Let u = -235.75 - -235.75. Let t = 18.5 + 0.5. Which is the closest to u? (a) 0 (b) t (c) 2/7
a
Let q = 1 - 0.4. Let w = 49.07 + -50.07. Suppose 4*g - 19 + 5 = 2*x, -5*g = -20. Which is the closest to -2? (a) x (b) w (c) q
b
Let z be (-28 + 3)*(-34)/510. Which is the nearest to -1/11? (a) 2/7 (b) 1.1 (c) -2/17 (d) z
c
Suppose 67 + 147 = -132*x - 446. Which is the closest to -37? (a) -2 (b) 7 (c) 2/17 (d) x
d
Let c = -158.4 - -158.8. What is the closest to 5/9 in 5, 0, c, -4?
c
Let w = 0.04187 - 0.24187. What is the nearest to -2 in 0.1, w, -2?
-2
Let d = -0.232 + 0.132. Let w = -1 - -0.2. Let o = 0 - w. Which is the closest to d? (a) o (b) 0.4 (c) -2
b
Let n be (-463)/10 + (-3 - 322/(-115)). Which is the nearest to 1? (a) 0 (b) -3 (c) -1 (d) n
a
Let p = 132 - 80.5. Let m = p - 52. Which is the nearest to 0? (a) m (b) 1 (c) -4
a
Let t be (3108/(-9))/(-37) - 10. What is the closest to t in 0.4, 4, 0.2, -2/3?
-2/3
Let j = 1170 - 1062.8. Let f = -107 + j. Let w = -0.12 - -4.12. What is the closest to f in w, -11, -5?
w
Let h = 265105631/53 + -5002455. Let l = -462 - h. What is the nearest to 1 in l, 2/3, 0.4?
2/3
Let z = -5 - -9. Let j be (-90)/75*(-5)/z. Let k = -0.204 + 0.404. What is the closest to 0 in j, k, 5?
k
Let r = -2763 - -2762.9. Let m be (30/(-12))/(0/2 + 2). Which is the nearest to r? (a) 0 (b) m (c) 2/7 (d) 0.4
a
Let k = 7630 + -7625. Let g = 0.5 + -0.3. Let u = -5 - -5.4. Which is the nearest to -3? (a) k (b) g (c) u
b
Suppose 0 = 2*f - 2 - 4. Suppose 744*r - 6 = 746*r. What is the closest to 0.1 in r, f, -1/3?
-1/3
Let u be ((-18)/108)/(70/(-63)). What is the nearest to 2/41 in -1/7, u, 3, -1?
u
Let i = 0.448 + 186.552. Let j = -186.6 + i. What is the closest to 2 in -6, j, 1/5?
j
Let u = 2 - 1. Let g = -461 - -325. Let t = 136.5 + g. Which is the nearest to u? (a) -2 (b) t (c) 0
b
Let w = -87 + 87.3. Let k be 15/10 - (-45)/(-50). Which is the closest to k? (a) w (b) 5 (c) -0.5
a
Let h = 0.0792 - 1.0792. Let j = -0.16 + 5.16. Which is the nearest to -3? (a) h (b) 4 (c) j
a
Let w = 4.0674 - 4.1174. What is the closest to 1 in -1/6, -14/3, w, -0.1?
w
Let i = -48 - -32. Let j = i - -1. Let f = 13 + j. What is the closest to f in -4, -2, -0.5?
-2
Let n(v) = v**2 + 81*v - 162. Let a be n(2). Let q = -2/13 - 20/39. What is the closest to a in -2, -0.4, q?
-0.4
Let r = 1762 + -3525/2. Which is the nearest to -5? (a) 5 (b) r (c) -3
c
Let x = -1245.8 - -1245.2. Which is the nearest to 1? (a) 5 (b) x (c) -2/7 (d) 2
d
Let m be (-7 - (-20)/3)/((140/(-8))/7). What is the nearest to -3 in -4/3, m, -3, 2/9?
-3
Let j = 0.552 - -4.948. Let v = -7 - -8.5. Let t = j - v. What is the nearest to 2/5 in 0.2, t, 3?
0.2
Let i = 85.9 - 88.9. Let k = 55 + -53. What is the closest to -2/3 in k, i, -0.5, -8/37?
-0.5
Let d(q) = q**3 + 13*q**2 - 23*q - 125. Let r be d(-14). Which is the closest to r? (a) -1/11 | {
"pile_set_name": "DM Mathematics"
} |
of 10 and h.
10
Let g be 2*8/(4/4). Calculate the highest common factor of g and 128.
16
Let s(q) = q**2 + 10*q + 17. Let y be s(-10). Calculate the highest common factor of y and 153.
17
Suppose 7*n = 3*n + 12. Suppose 9 = -n*h + 27. What is the greatest common factor of 2 and h?
2
Suppose 16 = 5*p + 6. Suppose p*n = -2*n + 2*x + 22, -2*n = -4*x - 20. What is the highest common divisor of n and 36?
4
Suppose 7*k - 933 = 257. Calculate the greatest common factor of 17 and k.
17
Let j = -3 - -6. Suppose j*c + 3 - 9 = 0. Calculate the greatest common factor of c and 16.
2
Let s be 18/1 - (1 - 1). Let u = 45 + s. What is the highest common divisor of u and 9?
9
Let f = -22 + 31. Let l = f - 26. Let o = -3 - l. What is the greatest common factor of o and 7?
7
Suppose g - 4 = 5. What is the greatest common factor of 27 and g?
9
Suppose 5*y - 6*y - 9 = 0. Let v be (-2)/(-6) + (-15)/y. What is the greatest common divisor of v and 8?
2
Let w = 176 - 96. What is the highest common factor of w and 16?
16
Suppose -36 = -2*u + 28. Let x = -9 + 9. Let k be -24*2*(-1 + x). What is the greatest common factor of u and k?
16
Let h(o) = 13*o**2 - 2*o - 3. Let u be h(3). Calculate the greatest common factor of 27 and u.
27
Let w be (9/12)/(2/8). Suppose 0 = w*o - 16 - 11. Let b(c) = c**2 - 9*c + 20. Let l be b(13). Calculate the highest common divisor of o and l.
9
Let t(r) = -2*r - 15. Let x be t(-11). Suppose -38 = -5*q + x. What is the greatest common divisor of q and 63?
9
Let k(i) = -2*i - 5. Let a be k(-8). Let p = 96 - 63. Suppose p = -g + 4*g. What is the greatest common factor of a and g?
11
Let f be (8/(-5))/(0 - (-2)/(-60)). What is the highest common divisor of f and 3?
3
Let n = 631 - 451. Suppose -5*t = -3*y - 106, 2*t + y = -t + 58. What is the highest common divisor of t and n?
20
Let u = -33 - -42. What is the greatest common factor of 1 and u?
1
Let t = -2 - -5. Suppose -66 = -4*w + t*w. Let p = -19 - -25. Calculate the greatest common factor of p and w.
6
Suppose -2*j + 2*i = -5*j + 24, 5*j - 36 = -2*i. What is the highest common factor of 90 and j?
6
Let m(n) = -n + 6. Let u be m(5). Let r be 18/(-12)*(u + -3). What is the greatest common factor of r and 1?
1
Suppose 6*p - 32 - 238 = 0. What is the highest common divisor of 9 and p?
9
Let g be 155*(-3 + 72/20). Calculate the highest common factor of 31 and g.
31
Suppose -4*q + v = -62, -2*v + 7*v = -10. What is the highest common divisor of 105 and q?
15
Let x = 23 + -6. Let v = 211 + -75. What is the greatest common divisor of v and x?
17
Suppose 0 = 4*z - 2*l - 702, -4*z + 525 = -z - 3*l. Calculate the greatest common divisor of z and 16.
16
Let m(o) = -o**3 + 2*o**2 + 3*o + 4. Let n = -4 + 4. Suppose n*x = 3*c - 2*x + 8, 3*c + 14 = -x. Let z be m(c). What is the highest common factor of z and 11?
11
Let p be (-2)/(-6) - 85/(-15). Suppose -3*a - 189 = -p*a. What is the highest common divisor of a and 7?
7
Suppose -y + 2 = 4. Suppose 5*l - 117 = 18. Let i be l - ((-1 - -5) + y). Calculate the greatest common divisor of 10 and i.
5
Suppose 224 = b + 3*b. Let j(t) = t**2 - 5*t + 8. Let q be j(6). Suppose -c = -b + q. What is the highest common divisor of c and 28?
14
Suppose q - 44 = 28. Calculate the highest common divisor of q and 8.
8
Let y = 9 + -2. Let c be (-1)/(-2) + 110/4. What is the greatest common divisor of y and c?
7
Let x = -14 - -50. Calculate the greatest common divisor of 54 and x.
18
Let z be (-4)/10 - 96/10. Let m be (-6)/z + 111/15. Suppose w = -3*w + m. Calculate the greatest common divisor of 14 and w.
2
Suppose 94 = m + 5*t, 5*t = 4*m - 191 - 210. What is the greatest common factor of m and 9?
9
Suppose 256 = -u + 3*u. Let r = -2 - -2. Suppose -5*t + r*d + 100 = 4*d, 57 = 2*t + 5*d. Calculate the highest common factor of t and u.
16
Suppose -100 - 180 = -14*s. Calculate the greatest common divisor of 260 and s.
20
Let t(u) = -u - 12. Let c be t(0). Let a be 24*(c/9 - -2). Let h = 0 - -2. What is the highest common divisor of a and h?
2
Suppose 0 = -4*l - 9 + 57. Let v be -1 + -1 + (5 - 0). What is the greatest common divisor of v and l?
3
Let s = 8 - 15. Let d(r) = r + 0*r - 3*r - 4. Let j be d(s). Calculate the highest common divisor of 10 and j.
10
Let s(h) = -h**3 + 21*h**2 - 20*h + 1. Let i be s(20). What is the highest common factor of 7 and i?
1
Let a(l) = 5*l**2 - 2*l**3 + 0*l**3 + 1 - 3*l**2 - 4*l**2 - l. Let x be a(-2). Calculate the greatest common divisor of 77 and x.
11
Let b(w) = w**2 + 6*w + 5. Let x be b(5). Let y = 49 + -34. Calculate the greatest common divisor of x and y.
15
Let t(g) = 16*g**2 + g. Let x be t(-1). Let f = -152 + 257. What is the greatest common divisor of x and f?
15
Let j = -2 - -5. Suppose -2*f + 2*r + 8 = -0*r, -2 = -4*f - j*r. Calculate the greatest common factor of 4 and f.
2
Suppose -2*l + 13 = -15. What is the highest common factor of 28 and l?
14
Let l = 33 - 25. Calculate the highest common divisor of 64 and l.
8
Suppose -6*z + 44 = -2*z. Suppose 2*d - 57 = -3*q - 0*q, 4*d = -q + 129. What is the greatest common factor of d and z?
11
Let q(a) = a**2 + 7*a + 5. Let p be q(-7). Suppose -p*d - 27 = -8*d. Calculate the greatest common factor of d and 36.
9
Let n be 6/21 + (-1754)/14. Let j = 251 + n. What is the highest common divisor of j and 18?
18
Let w(d) = d**3 + 13*d**2 - 3*d + 7. Let u be w(-12). Calculate the greatest common divisor of u and 17.
17
Let y be (2 - -47)*1 - (-2 + 5). What is the greatest common divisor of y and 414?
46
Suppose 4*z - 12 = 44. What is the highest common divisor of z and 14?
14
Let n(a) = 5*a**3 - 25*a**2 + 5*a - 17. Let l be n(5). Let r = 2 - -38. What is the greatest common factor of r and l?
8
Suppose -q - 4*q - 15 = 0. Let f(a) = -a**2 - 6*a - 2. Let m be f(-4). Let b = q + m. What is the highest common factor of 33 and b?
3
Let r = 2 + 1. Let w be (0 - -1)/(r/30). Calculate the highest common divisor of w and 30.
10
Let z = 126 - 118. Let m = -2 - -5. Suppose b = m + 1. What is the greatest common factor of z and b?
4
Suppose 0 = -q + 4*s - 9, 5*q - 2*q + s = -40. Let g = q - -23. Calculate the highest common divisor of g and 25.
5
Let a(j) = 9*j - 3. Let c = 3 + -1. Let x be a(c). What is the greatest common factor of 30 and x?
15
Let n be (7/(-3) - -3)*-9. Let g = 8 + n. Suppose x + 3 = g*x. Calculate the highest common divisor of 24 and x.
3
Suppose v - 1 = 3. Let s = 5 + v. Calculate the greatest common factor of 18 and s.
9
Let x = 249 - 153. Calculate the highest common factor of 12 and x.
12
Let s = 18 + -9. Suppose 3*f = 5*k - 6, -3*f + 5 = -2*k + 2. Calculate the greatest common divisor of s and f.
3
Let x = 33 - 3. Let i = 261 + -186. What is the highest common factor of i and x?
15
Let j = 0 + 2. Suppose 0 = 2*f + 4*t - 178, -j*f + 2*t + 3*t = -133. Suppose 1 + f = 2*w. What is the greatest common divisor of w and 5?
5
Let y = -131 - -339. Suppose 0 = 5*m - 167 - y. What is the greatest common divisor of m and 15?
15
Let z(w) = -2*w - 1. Let p be z(-5). Suppose o - 5 = p. What is the greatest common factor of o and 56?
14
Let m(b) = 5*b - 4*b + 0*b**2 + 2*b**2. Let f be m(1). Calculate the highest common factor of f and 1.
1
Suppose -z + 0*z = -5. Let u = -7 + z. Let l(r) = r**2 - 2*r - 1. Let o be l(u). What is the greatest common divisor of 56 and o?
7
Let b(l) = -3*l**3 - 2*l**2 - 2*l + 4. Let z be b(-2). What is the greatest common factor of 3 and z?
3
Suppose -5*w - h + 156 = 0, 48 = 4*w - 3*w - 4*h. Let t be 1/(482/160 - 3). Calculate the highest common divisor of t and w.
16
Let p be 4 + -7 - (-25)/1. Calculate the greatest common divisor of p and 176.
22
Suppose 0 = -5*h - 1 + 16. Suppose -10 = 2*k + h*k. Let q = 1 - k. What is the greatest common factor of q and 27?
3
Let k(v) = -3*v + 4. Suppose r - 13 = -4*h, -7*r + 29 = 2*h - 2*r. Suppose 0 + 8 = -h*s. Let i be k(s). Calculate the highest common divisor of i and 40.
8
Let j = 18 + -34. Let g = 19 + j. Calculate the greatest common factor of g and 1.
1
Let z(m) = 32*m + 1. Let i be z(1). Let g(r) = r**3 - 7*r**2 + 8*r - 9. Suppose 4*y = 7 + 17. Let b be g(y). Calculate the greatest common factor of i and b.
3
Let c(b) = -b + 11. Let d be c(9). What is the highest common factor of 2 and d?
2
Suppose 2*q + 15 = -q. | {
"pile_set_name": "DM Mathematics"
} |
- 2212*h*r - r wrt r?
-16740*h*r**2
Find the first derivative of f**3*k*v**2 + 3*f**3*k*v - 2*f**3 - 2*f**2*k - 21*k wrt v.
2*f**3*k*v + 3*f**3*k
Differentiate -6655*l**2 - 3115 wrt l.
-13310*l
Find the third derivative of -247*o**3*p + 3*o**3 - 9*o**2 + 3*p wrt o.
-1482*p + 18
Find the second derivative of 305*d**4 - 262*d wrt d.
3660*d**2
Find the third derivative of 497*t**6 + 2*t**5 + t**4 + t**2 + 88*t + 6.
59640*t**3 + 120*t**2 + 24*t
Differentiate 5*i*q - 1585*i + 484*q**3 + 2 with respect to q.
5*i + 1452*q**2
What is the second derivative of 8*o**2*r**2*x**2 + o**2*x**2 + 18*o**2 + 141*o*r**2*x**3 - 13*r*x**3 - 3*r wrt r?
16*o**2*x**2 + 282*o*x**3
What is the third derivative of -12*c**3*q*w**3 + 5*c**3*q - c**2*q*w**3 + 2*c**2*w**3 - 2*c**2*w - 166*c*q*w**2 wrt c?
-72*q*w**3 + 30*q
What is the third derivative of 4932*f**3 + 3777*f**2 + 2?
29592
Find the first derivative of -2*l**4 - 14*l**3 - 15*l**2 + 22329 wrt l.
-8*l**3 - 42*l**2 - 30*l
What is the derivative of -713*g**4 - 694?
-2852*g**3
Find the first derivative of 260*p**4 + 426 wrt p.
1040*p**3
What is the second derivative of -21*v**4*x - 19*v**2*x**2 + 10*v - 37*x**2 wrt v?
-252*v**2*x - 38*x**2
Find the third derivative of 1230*u**5 + u**2 - 111*u wrt u.
73800*u**2
What is the second derivative of 2*b**5*n**3 + 2283*b**4*n**3 - b*n**3 + 159*b*n**2 + n**3 wrt b?
40*b**3*n**3 + 27396*b**2*n**3
What is the second derivative of 9*i**2*s**4 - 1841*i**2*s - 2*i*s**4 + 44*s**2 + 2*s wrt s?
108*i**2*s**2 - 24*i*s**2 + 88
Find the third derivative of 117*s**4 + 24*s**2 + 4.
2808*s
Find the first derivative of 2*k**3*s**2 - 247*k*s**2 + 2*k*s - 13*s**2 - 2*s wrt k.
6*k**2*s**2 - 247*s**2 + 2*s
Find the second derivative of -724*k**5 + 2*k**3 + 1640*k wrt k.
-14480*k**3 + 12*k
What is the second derivative of 232*t**3 - 2*t**2 + 356*t wrt t?
1392*t - 4
Find the second derivative of 4238*c**3*u - c - 23*u wrt c.
25428*c*u
What is the third derivative of 37*a**3*u**5 + 2*a**3*u**3 - a**3 - 922*a*u**2 wrt u?
2220*a**3*u**2 + 12*a**3
Find the third derivative of -35*a**3*l - 2*a**3 + 6*a**2*l - 4*a**2 - 2 wrt a.
-210*l - 12
Find the second derivative of -d**2*i*k - d**2*i + d**2*k - 2*d**2 - 32*d*i - d*k + 2*d - 2*k wrt d.
-2*i*k - 2*i + 2*k - 4
What is the first derivative of 109*k - 3299 wrt k?
109
What is the third derivative of 114*n**6 - n**2 + 95*n wrt n?
13680*n**3
What is the third derivative of -389*b*k**6 - 4*b*k**2 - 2*b*k + k**3 + 63*k**2 wrt k?
-46680*b*k**3 + 6
Find the third derivative of 28248*b*o**2*z**3 - 14*b*o**2*z**2 - 140*b*z**2 - 3*o**2*z wrt z.
169488*b*o**2
What is the first derivative of -298*l**3*t*v - 2*l**3*v - 2*l**3 - 4*l**2*v wrt t?
-298*l**3*v
Find the first derivative of -9*u*w**2 + 862*u - 69*w**2 + 2*w + 1 wrt u.
-9*w**2 + 862
Find the first derivative of -3610*o**2*y - 2671*o**2 wrt y.
-3610*o**2
Find the third derivative of 9*k**3*v**3 + 285*k**3*v - 2*k**2*v**4 + k**2*v**2 + 2*v**4 wrt v.
54*k**3 - 48*k**2*v + 48*v
Find the third derivative of 64*f**4 + 83*f**3 + 25*f**2 + 280*f + 1 wrt f.
1536*f + 498
What is the second derivative of -415*c**2*r**3 + 15*c**2 + 313*c*r**3 + 3*c*r wrt c?
-830*r**3 + 30
What is the first derivative of -14379*c + 7713?
-14379
Differentiate -134*b**4 + 2*b + 314 wrt b.
-536*b**3 + 2
What is the third derivative of 692*a**5 + 2386*a**2 wrt a?
41520*a**2
Find the second derivative of d**3 + 568*d**2 - 5032*d wrt d.
6*d + 1136
What is the second derivative of -296*t**2 - 3*t - 41 wrt t?
-592
Find the first derivative of 17*f*h + 65*f*i + h*i + 6*h - 9 wrt f.
17*h + 65*i
Find the second derivative of 2*g**2*j**2*y**3 + 2*g**2*y - 61*g*j**2*y**3 + 39*j**2*y + 2*j*y wrt y.
12*g**2*j**2*y - 366*g*j**2*y
What is the third derivative of 2746*j**3 - j**2 + 380 wrt j?
16476
What is the derivative of -418*l**4 - 634?
-1672*l**3
Find the third derivative of -4*h**3*r**2 - 2*h**3*r + h**2*r**2 + 4*h*r**2 - 14*h wrt h.
-24*r**2 - 12*r
Find the third derivative of 285*a**3*k**3 - 70*a**2*k**2 - k**3 wrt a.
1710*k**3
Find the third derivative of o**4 - 739*o**3 + 2*o**2 - 76*o wrt o.
24*o - 4434
Find the third derivative of 4*w**6 + 24*w**5 - 24*w**2 + 5*w wrt w.
480*w**3 + 1440*w**2
Find the third derivative of 1504*k**4 - 2454*k**2 wrt k.
36096*k
Find the third derivative of 2*t**3*y**3 - 351*t**3 - 63*t**2*y**4 - 5*t**2*y**2 + 2*t**2*y - t*y**4 wrt y.
12*t**3 - 1512*t**2*y - 24*t*y
Find the first derivative of 2010*f**2 - 4213.
4020*f
What is the second derivative of 132*b**4 + 2*b - 13?
1584*b**2
Find the second derivative of 128*a**2*v - a*v + 223*v wrt a.
256*v
Find the first derivative of -3151*w**4 + 2240.
-12604*w**3
Find the second derivative of -2*s**3*t**2 + 83*s**3*t - 2*s**3 - 4*s**2 - 226*t**5 wrt t.
-4*s**3 - 4520*t**3
Find the second derivative of -5*b**4 - b**3 - 249*b**2 - 5311*b wrt b.
-60*b**2 - 6*b - 498
Find the third derivative of 3840*b**6 - 2*b**5 + 6278*b**2 wrt b.
460800*b**3 - 120*b**2
Differentiate 1116*b**4 - b**3 + 5070 with respect to b.
4464*b**3 - 3*b**2
Find the third derivative of -2*f**6*k - 307*f**6 + f**2*k - 1 wrt f.
-240*f**3*k - 36840*f**3
Differentiate 2*m**3*x + 4*m**3 - m**2*o + 12*m*o - 3*m*x + 3*o*x - 2*x**2 with respect to x.
2*m**3 - 3*m + 3*o - 4*x
What is the derivative of 11017*g**3*k - 2979*g**3 wrt k?
11017*g**3
Find the second derivative of 102*t**5 - 3*t**3 - 669*t - 1.
2040*t**3 - 18*t
Find the second derivative of -444*z**2 + 89*z wrt z.
-888
What is the third derivative of 3*q*v**4 - q*v**3 - 54*q*v**2 - 3*q - 2*v**4 + 1 wrt v?
72*q*v - 6*q - 48*v
What is the third derivative of -165*b**3 - 6*b**2 wrt b?
-990
Differentiate 465*m + 387 with respect to m.
465
Find the first derivative of 7*c*f**2 - 1354*c + 2*f**2 - 4130*f wrt c.
7*f**2 - 1354
What is the second derivative of -2393*h**2 - 5625*h wrt h?
-4786
Differentiate -635*a*o + 487*a - o**3 + 1 with respect to o.
-635*a - 3*o**2
Differentiate -5*b**3*x**2 - 2*b**3 + b*x - 9*x + 1372 with respect to x.
-10*b**3*x + b - 9
What is the third derivative of -877*n**3*q + 553*n**2*q + 1 wrt n?
-5262*q
What is the second derivative of -18*d*v**3 - d*v**2 - 2*d*v + 45*d - 4*v**3 + 2*v**2 + v wrt v?
-108*d*v - 2*d - 24*v + 4
Find the third derivative of 1808*j*q**5 + j*q**2 - 2*j + 2*q**6 - 17*q**2 wrt q.
108480*j*q**2 + 240*q**3
Find the third derivative of -1232*h**6 + 120*h**2 - 4*h wrt h.
-147840*h**3
Differentiate -51*g**2*n**4 + 28*g**2*n**3 + 2*g**2 - 8*g + 38 wrt n.
-204*g**2*n**3 + 84*g**2*n**2
What is the second derivative of -637*f**2*v**5 + f**2*v - 2*f**2 - 77*f*v - 3*v**5 wrt v?
-12740*f**2*v**3 - 60*v**3
Find the second derivative of -4176*f**2*l**2 - 64*f**2*l - 11*f**2 + 2*f*l wrt l.
-8352*f**2
Find the second derivative of 110*c**4 - 324*c.
1320*c**2
Find the second derivative of -13*h**2*m - 14*h**2 + 2*h*m - 57*m - 1 wrt h.
-26*m - 28
What is the second derivative of 755*j**5*p + 2*j**4*p**3 + 177*j*p**3 + 2*j wrt j?
15100*j**3*p + 24*j**2*p**3
What is the third derivative of 2961*o**3 - 110*o**2 + 2?
17766
What is the derivative of -l**2*p**3 + 36*l**2*p + 58*l**2 + 1 wrt p?
-3*l**2*p**2 + 36*l**2
Differentiate 3*m**4 - 4*m**2*u - 16*m - 3318*u wrt m.
12*m**3 - 8*m*u - 16
What is the third derivative of 13*k**5*o**2 + 52*k**3*o**2 + 16*k**2*o**2 + 51*k**2 wrt k?
780*k**2*o**2 + 312*o**2
Find the third derivative of 4208*p**3 + 7684*p**2.
25248
What is the third derivative of 178*f**4 + 458*f**2?
4272*f
Find the second derivative of 7771*c**2*v + 8*c*v - 2*c - 2*v - 151 wrt c.
15542*v
What is the third derivative of -17*n**3*z**3 + 4*n**3*z**2 + 2*n**2*z**3 + 342*n**2 wrt n?
-102*z**3 + 24*z**2
Differentiate 33*g**2*h**2*y + 74*g**2*j + 20*g*h*y - 8*h**2*j*y - 2*j*y wrt j.
74*g**2 - 8*h**2*y - 2*y
Find the second derivative of -7158*y**2 + 4769*y wrt y.
-14316
Differentiate -3*v**3*z**3 + 9*v**3 + 146*v**2 - 2*v*z**3 + 55*z with respect to z.
-9*v**3*z**2 - 6*v*z**2 + 55
What is the derivative of 232*b**3*l**4 + 4*b**3 + 5*b**2 - 3*b*l**3 + 55 wrt l?
928*b**3*l**3 - 9*b*l**2
Find the second derivative of -533*t**2 + 119*t - 3.
-1066
Find the second derivative of -27*d**2*i*t*x - 5*d**2*t**3*x + d**2*t*x - 5*d*i*t**3*x - d*t**2*x - d*t*x + 2*d*x - 9*i*t**2 wrt d.
-54*i*t*x - 10*t**3*x + 2*t*x
What is the third | {
"pile_set_name": "DM Mathematics"
} |
9 = h - 0 for h.
5
Let y(k) = 2*k - 13. Let h be y(6). Let j = 6 + h. Suppose 3*u - 16 = -4*b, -5*b - 8 = -b. Solve j*c + 4*t = u, 7 + 1 = -2*c + 4*t for c.
0
Let h be ((-84)/(-21))/(6/33). Solve -v + 8 = -2*c + h, -2*c = 4*v + 6 for v.
-4
Let i(z) be the second derivative of 5/12*z**4 + 1/20*z**5 - 7/6*z**3 - 9*z - z**2 + 0. Let u be i(-6). Solve -u*y - 9 = -4*p - 1, -4*p = y - 13 for y.
1
Let b(x) = -x**3 - 8*x**2 - 9*x + 7. Let t be b(-7). Suppose 16*c + 100 = t*c. Solve 0 = 3*j + j + 5*q - c, 2*j - 10 = -4*q for j.
5
Suppose 0 = 4*b - 4*r - 16, -2*b - 2*r = 3*r - 8. Suppose -8 = -4*y + 4*l, 5*l = b*y + 4*l - 8. Solve -o + m - y*m - 6 = 0, -2*o + m = 0 for o.
-2
Suppose 3*f = 3 - 0, 1 = o - 3*f. Let m = -5 - -9. Suppose 2*r - 3*h - 4 = 16, 0 = -4*r - 5*h - 4. Solve 10 = a + o*x, 0*a = -r*a + 2*x + m for a.
2
Let i(c) = -c**2 - 12*c - 29. Let v be i(-7). Solve 3*u + p + v + 1 = 0, -3*p = 4*u + 16 for u.
-1
Let f(n) = n**2 - 2*n + 3. Let w be f(0). Suppose -j - j + 1 = -3*c, 0 = w*c - 3. Solve -2*b - j*d + 8 = -0*b, -3*b + 2*d = -17 for b.
5
Let s(h) = -h**2 + 11*h - 7. Let n be s(10). Suppose 2*q + 5*k = 20, 50 = 5*q - k + n*k. Solve 2*m + 2*w + 1 = -7, -4*m = -2*w + q for m.
-3
Let k(m) = m**3 - 17*m**2 + 43*m - 9. Let c be k(14). Solve 24 = 4*d + c*x - 4*x, -2*d = -3*x + 2 for d.
5
Suppose 252*x - 56 = 224*x. Solve -3*g + 5*k - 21 = 0, -x + 13 = 2*g + 5*k for g.
-2
Let h = 939 - 936. Solve 2 = -5*o - 4*u, 0*o + 5*u = h*o + 16 for o.
-2
Suppose n + 8 = 4*a, 12 = 6*a - n + 2. Solve -t - a = 4*h - 2, -4*h = 3*t - 3 for h.
0
Let q = 12 - 19. Let u(t) = -3*t - 11. Let p be u(q). Suppose -2*i = -p, -2*i = -z - 0*i + 4. Solve -5 = 2*v + 5*o, z - 5 = -2*v - o for v.
-5
Let s(w) = -w**2 + 7*w - 9. Let j be s(4). Suppose 4 = z - 2*n, j*z + 5*n - 4 = 2*z. Suppose -h + z = -0*h. Solve -5*l + 3*o - 5 = -29, -4*l = -h*o - 24 for l.
3
Let v = -53 + 58. Let j be ((16/(-20))/(-2))/(v/25). Suppose 4*i = x + 9, -4*x + 4 = 3*i - 2*x. Solve -g = j*g - i*s - 2, 18 = 2*g + 2*s for g.
4
Suppose 0 = -5*l + 102 - 2. Solve 3*q = 5*n + 20, 0*q + l = 5*n + 5*q for n.
-1
Suppose 4 = 4*j - 5*j. Let v be (-5)/((j/28)/1). Suppose -5*n = -t - 56, 0 = 2*n + 5*t - v - 9. Solve 4*z = 4*x - n, 0*z + 4*x - 15 = z for z.
1
Let r(g) = g**3 + 5*g**2 - 6*g + 3. Let d be r(-6). Suppose 1 = -d*f + 16. Solve 29 = 4*n + f*l, -21 - 4 = -5*l for n.
1
Let c(j) = j**2 - 14*j - 9. Let m be c(17). Let s = m - 40. Solve -3*a + 3 = -s*a + 2*b, 0 = 2*a - 2*b + 12 for a.
-3
Suppose 5 = o + 19*d - 21*d, 2*d - 16 = -2*o. Suppose -2*c + 10 = 2. Let m = o - c. Solve 8 = -2*a, m*a + 6 = i - 2 for i.
-4
Suppose s + 5*j = -16, 4*j - 4 = -5*s - 0*j. Solve 0 = s*y + 20, -z - 5*y - 33 = z for z.
-4
Let i(p) = -p**3 - 10*p**2 - 14*p + 18. Let d be i(-8). Solve -10 = q - 3*g, -d*q + 3*g = -0*g + 14 for q.
-4
Let u be (3/5 - 1) + 1431/265. Solve 2*t + 6*s = 2*s + 12, -u*t + 16 = -4*s for t.
4
Let d be 384/(-160)*(-10)/6. Solve -d*s + 5*c - 37 = 0, 3*c = -s - 0*s + 12 for s.
-3
Let t = -28 + 30. Let y = t + 0. Solve -4*i = 16, y*f + 3*f + 5*i = -25 for f.
-1
Let y(j) = j**3 + 4*j**2 + j - 2. Let m be y(-2). Suppose m*k + 11 = 5*k. Suppose -13*h + 8 = -k*h. Solve 0 = 5*c + 10, -2*i + h*c = -c - 18 for i.
4
Let q = -68 + -21. Let g = 91 + q. Solve -n + m = g*m + 3, 0 = 3*n - m + 1 for n.
-1
Let d be -3 + 5 - (1 - -68). Let k = d - -72. Solve 0 = -2*o - 2, t = 4*t + 5*o + k for t.
0
Let b be -12 + 5 - -8 - -2. Solve 2*t + 2*t - 8 = 2*u, b*t = -5*u + 19 for t.
3
Let o = 27 - 25. Let j be 4 + (o/(-1) - -2). Solve 2*h + j*c + 16 = 0, 3*h - 3*c - 8 = 13 for h.
2
Suppose 0 = -4*d + 5*u - 3, 15 = d - 26*u + 30*u. Solve 0 = 5*v + d*j - 3, 5*v = 4*j - 0 - 4 for v.
0
Let a be (2/3 + -1)*(-60)/4. Suppose r = -s - 0*s + 26, -a*r - 38 = -2*s. Solve 4*c + 21 = 5*i, -4*i + 6*c - c + s = 0 for i.
1
Suppose -8 = -y + x + 5, 3*x = 2*y - 21. Let q = y + -12. Suppose 0 = 2*u - q*u. Solve v + 2*v = 4*h - 10, -5*h - 3*v - 1 = u for h.
1
Suppose -3*c = l - 4, c - l + 191 = 187. Let u = -8 + 13. Solve v + 5 = -4*j, 3*v = -2*j - c*j + u for v.
3
Suppose 0 = -4*q + 3*q. Suppose 5*k - 10 + 10 = q. Solve 4*s + 1 = 5*z, k = 2*s - 7*s + 5 for z.
1
Suppose 6*a = 10*a - 20. Let i = 10 - a. Suppose -2*m + 5 = 4*q - i, m - 10 = -3*q. Solve 0 = -c + q*k - 3, -3*k + 4 = k for c.
2
Let q(x) = 5*x + 1 - 3*x - x**3 + 4 - 8*x - 5*x**2. Let l be q(-3). Solve -b = -l*h - 8, -3*h - 7 = 5*b + 9 for h.
-2
Let v = 1563 + -1563. Solve p + 4*i + 1 = v, 2*i + i = 3 for p.
-5
Let r(o) = -o - 2. Let c be r(-2). Let k = 1 - -1. Suppose -9*j = -4*j - k*j. Solve 4*h + 4*y + 12 = 0, c = -j*h - 3*h - 4*y - 10 for h.
-2
Let i(a) = -a**2 + 11*a. Let p be i(11). Solve -g + 5*t = -13, 3*g + p*g + 12 = -2*t for g.
-2
Let y be -3 + -2 + (10 - 0). Solve 8 = -s - s, 3*u + y*s = -17 for u.
1
Let p be (57/(-6))/((-3)/6) - 2. Solve 3*s = 6*s - 4*z + 23, 3*s = z - p for s.
-5
Suppose -5*u - 5 = -3*g - 4*u, -4*u = -4. Suppose -g*z = -18 + 12. Let n(x) = x - 3. Let o be n(5). Solve -3 = 3*j - s + z*s, o*j + 21 = 5*s for j.
-3
Let c(u) = -u**2 - 4*u - 2. Let j be 32/(-18) - (-18)/(-81). Let i be c(j). Solve 0 = -4*r - 3*m - i*m, 5*r - 41 = 4*m for r.
5
Let p be 24*4/((-12)/3). Let j = p + 26. Solve n + 5 = 2*l + j*n, 4 = -5*l + 3*n for l.
1
Let o be 0/((-35)/(-7) + -3). Solve 4*k - 25 = -5*l, o*l - 2*k = l - 5 for l.
5
Let g be 1/2*(2 + 2). Let y = 2 - g. Let a(f) = f**3 - 14*f**2 - 36*f + 66. Let m be a(16). Solve y = -m*w - 3*q + 13, 3*w = 2*q - 3*q + 16 for w.
5
Let a = -321 - -323. Solve 4*w + o = -8, a*w - 7 = w + 2*o for w.
-1
Suppose -i + 28 = -0*i - 5*r, 3*i - 3*r - 24 = 0. Suppose 2*f + 2*w = 3*f - 22, 4*w + 20 = 0. Let a = f + -8. Solve i*c - d = -17, 3*c - a*d + 28 = c for c.
-4
Let o = -1598 - -1600. Solve 0 = 2*w - o, 5*a + 2*w = 4 + 18 for a.
4
Let m = 24 + -16. Suppose 4*a - 6*a = -m. Solve -p + 3 - 18 = -a*t, 0 = 3*t + p - 13 for t.
4
Let j = 0 - -2. Suppose -8 = o - 9*o. Suppose -2*t + s = 1, 4*s = 2*t + 3 + o. Solve 14 = q - 2*l, t = 3*q - 2*l - j*l - 32 for q.
4
Suppose -104 = -5*a - 5*o + 81, 92 = 2*a - 4*o. Let g be (14/7 - 11)/((-1)/(-3)). Let z = g + a. Solve 0*f = f - 3*d + z, 0 = f + 4*d - 8 for f.
-4
Let o(f) = f**3 - 16*f**2 - 2*f + 36. Let s be o(16). Solve -s*y + 24 = 2*u, 3 = -4*y - 3*u + 31 for y.
4
Let h be (-45)/(-30) - ((-11)/2 - -1). Solve -4*c = 5*k - 6, -2 = k - h*k - 3*c for k.
-2
Let o be 9 - (-13)/(-2) - 1/(-2). Solve 0 = -o*h + 4*h + 5*y - 9, h = -2*y + 3 for h.
-1
Let h = -187 - -192. Solve 2*t = f - 4*f + 6, h*t = 3*f - 6 for t.
0
Let o be (5 - 5)/(0 + 2). Let p be (0/(-1) + o)/(-2). Solve 2*j - 10 = -2*h, -2*h - 2*j - 2*j + 18 = p for h.
1
Let u(l) = -l + 15. Let n be u(9). Let j = 2 - 2. Solve 2*s - n = j, 4*x + 6*s - 6 = 4*s for x.
0
Suppose 19*q - 120 = 9*q. Solve -4*j - q = -4*a - 0*a, 0 = 5*j - a + 7 for j.
-1
Suppose -4*u = 4 - 16. Let s(y) be the third derivative of y**4/24 - y**3/6 + 9*y**2. Let w be s(u). Solve z - 5 = 5*z - j, -5*j = -w*z - 7 for z.
-1
Suppose 0 = -56*b + 102*b - 184. Solve b*p = -4*f + 2*p + 10, 3*f = -3*p + 15 for f.
0
Let a be ((-4)/3)/((-24)/36). Let v(i) = -i**3 + 4*i**2 - 2*i - 1. Let p be v(a). Solve 2*f + 5 = -y - 1, -20 = p*f - 4*y for f.
-4
Let s = 103 + -93. Solve y + 5*j = 8 + 6, -s = -2*y - 4*j for y.
-1
Let v be 789/(-12) - (-2)/(-8). Let c be 8/12*v/(-4). Solve -2*h - 2*h = 5*b - c, -4*b = 4*h - 8 for h.
-1
Let s be (-7 - -5)/(4/(-10)). Suppose -3*o - 2*o = s, 4*o = -2*d - 68. Let c = -21 - d. Solve 5*i = 20, -t - 5*i + 2*i = -c for t.
-1
Suppose -3*z + 2*b = 3 - 8, -15 = -3*z - 3*b. Solve -g = -z*s + 7, 4*g - 6 = -2*s + 5*g for s.
1
Let v(d) = -d**2 + 10*d - 16. Let r be v(4). Let b = 6 + -3. Suppose b*y - r - 37 = 0. Solve -a + 2*g = -4 - 2, y = -5*g for a.
0
Let c = 366 + -255. Let h = -109 + c. Solve -3*k = -4*k - 2, 0 = h*m + 4*k + 2 for m.
3
Let a be (4 - -1 - 8) + 5. Solve -3*s = a*s - 4*c - 21, 2*c = -3*s + 17 for s.
5
Suppose 5*h = 3*j + 51, -19 - 13 = -4*h - 2*j. Let c be 1 + 0 + 0 + 2 + 0. Solve -2*k - k + h = 3*d, -d = -c*k - 3 for d.
3
Suppose -11*m = -7*m - 6*m. Suppose a - 2 = -m. Solve 3*w + 5*j - 25 = 0, 2*j + 0*j = a*w + 10 for w.
0
Suppose 0*n + 4*o - 24 = -2*n, 46 = 5*n + 3*o. Solve 0 = -4*d - 4*u + 24, -5*u - 6 = -n*u for d.
4
Let i be (-513)/(-189) - (-2)/7. Solve -7*h | {
"pile_set_name": "DM Mathematics"
} |
p(v) - 4*m(v).
2*v
Let o(f) = f**2 + 9*f + 9. Let g(m) = 4*m + 4. Calculate -9*g(a) + 4*o(a).
4*a**2
Let u(j) = 4*j**2 + 2*j - 2. Let c(a) = 0*a**2 + 5*a**2 - 4 + 1 + 3*a. Let w = -12 + 9. Give w*c(x) + 4*u(x).
x**2 - x + 1
Let u(t) = 36*t - 1. Let m(r) = -37*r + 1. Determine 6*m(z) + 7*u(z).
30*z - 1
Let l(v) = 5*v**3 - 4*v**2 - 4. Let t(r) = r**2 + 1. Let i be -2 - 3 - (0 + -1). Determine i*t(n) - l(n).
-5*n**3
Let l be 3*((-8)/(-3) + -2). Let f(j) = 3*j**3 - j**2 + 2*j - 2. Let g be f(l). Let p(d) = -d**2 + 2*d. Let w(u) = 5*u**2 - 11*u. What is g*p(z) + 4*w(z)?
-2*z**2
Let b(n) = -6*n - 7. Let h(a) = 5*a + 6. Give -4*b(g) - 5*h(g).
-g - 2
Let b(y) = -3*y + 4. Let p(o) = 7*o - 4. Let n(x) be the first derivative of x - 5. Let q(i) = 5*n(i) - p(i). Calculate -9*b(l) + 4*q(l).
-l
Let i(z) = 4*z + 2. Let j be i(-2). Let f(p) = 4*p - 6. Let h(d) = -d + 1. Suppose -4*u = u + 5. What is j*h(k) + u*f(k)?
2*k
Let t(b) = -b**2 + b - 5. Let x = 0 - -2. Let g(j) = -4 + x - j + 0*j + 8 + j**2. Determine 3*g(q) + 4*t(q).
-q**2 + q - 2
Let f(j) = 3*j + 6. Let p(a) = -2*a + 13 - 10 - 6. Give -3*f(y) - 5*p(y).
y - 3
Let t(v) = -11*v**2 - 3. Let a(z) = -21*z**2 - 5. Determine 3*a(c) - 5*t(c).
-8*c**2
Let x(y) = y**3 + 11. Let d(b) = -4. Let u(j) = 3. Let q(a) = 4*d(a) + 5*u(a). Give -44*q(i) - 4*x(i).
-4*i**3
Let s(x) = 5*x + 3. Let v(h) be the second derivative of h**3/6 - 31*h. What is -s(q) + 4*v(q)?
-q - 3
Suppose 20*a = 23*a - 12. Let c(v) = v - 4. Let i(g) = 2*g - 3. Give a*i(t) - 3*c(t).
5*t
Let r(t) = 2. Suppose 0 = 3*k - u - 13 - 5, 0 = 5*u. Suppose -3*i - 15 = -k*i. Let c(l) be the first derivative of l**2/2 + 5*l + 11. Calculate i*r(b) - 2*c(b).
-2*b
Let f(c) = 63*c**3 - 12*c**2 + 12*c + 12. Let r(p) = -25*p**3 + 5*p**2 - 5*p - 5. What is 5*f(g) + 12*r(g)?
15*g**3
Let m = 2 + -2. Let v(i) be the second derivative of i + 1/6*i**3 - 1/4*i**4 + 1/2*i**2 + m. Let b(g) = -13*g**2 + 5*g + 4. Determine 4*b(x) - 18*v(x).
2*x**2 + 2*x - 2
Suppose 3*l + 30 = 5*l. Let r = 22 - l. Let d(w) = 5*w**2. Let k(s) = -11*s**2. Calculate r*d(q) + 3*k(q).
2*q**2
Let c(j) = 7*j + 3. Let u(g) = -15*g - 5. What is -13*c(i) - 6*u(i)?
-i - 9
Let o(w) = 3*w**2 + 6*w + 4. Let m(j) = -j. Give 6*m(k) + o(k).
3*k**2 + 4
Let d(f) = -13*f - 5. Let v(w) be the third derivative of w**4/4 + w**3/3 - 20*w**2. Determine 3*d(n) + 7*v(n).
3*n - 1
Let c(s) = -3*s**3 + 8*s - 7. Let z(y) = 2*y**3 - 5*y + 5. Give -5*c(w) - 7*z(w).
w**3 - 5*w
Let u(m) = -m**2 - m - 1. Let c(a) = 15*a**2 + 21*a + 21. Calculate -4*c(z) - 84*u(z).
24*z**2
Let o(w) = -w**3 + w**2 - w + 1. Suppose 0 = -2*b + 8, -4*b + 4 = -3*t - 30. Let r(x) = -4*x**3 + 6*x**2 - 6*x + 6. What is t*o(s) + r(s)?
2*s**3
Let t(u) = 2*u - 2. Let n(m) = 1. Let h(k) = -2*k**3 + 56*k**2 + 59*k - 28. Let w be h(29). Let y = 10 + -6. Give w*t(d) + y*n(d).
2*d + 2
Let q(i) = -4*i + 3. Let m(f) = 9*f - 7. Give 2*m(g) + 5*q(g).
-2*g + 1
Let r(b) = 14*b + 10. Let n(x) = -x - 1. Calculate -12*n(k) - r(k).
-2*k + 2
Let g(p) = p**3 - 3*p**2 - 3*p - 1. Let x(f) = -f**3 + 2*f**2 + 2*f + 1. Determine -2*g(l) - 3*x(l).
l**3 - 1
Let m(c) = 12*c**3 - 4*c**2 + 9*c - 5. Let w(g) = 30*g**3 - 10*g**2 + 22*g - 12. Determine 12*m(o) - 5*w(o).
-6*o**3 + 2*o**2 - 2*o
Let o(w) = -w**2 - 3. Let a(p) = -8 - 4 - 2 - p**2 + 9. Calculate 3*a(n) - 5*o(n).
2*n**2
Let w(r) = r. Let q(j) = 14*j. Calculate 6*q(y) - 132*w(y).
-48*y
Suppose -4*y - 12 = 4*d, 0 = -4*y - 0*d + d - 17. Let m(l) = -4. Let a(t) = t + 5. What is y*m(v) - 3*a(v)?
-3*v + 1
Let w(j) = 2*j**3 - 3*j**2 - j - 3. Let t(u) = -u**3 - u**2 - 1. What is 3*t(h) - w(h)?
-5*h**3 + h
Let t(w) = -w**2 - w - 1. Let b(q) = -2*q**2 - 4*q - 3. Suppose 3*x + 8 = 2. Let s = 31 - 25. Determine s*t(m) + x*b(m).
-2*m**2 + 2*m
Let h(c) = 1. Let i(t) = -t + 2. Give -2*h(q) + i(q).
-q
Suppose 0 = 15*d - 11*d - 20, -a + 3*d - 9 = 0. Let v(n) = -3 + 2 + 0. Let m = 3 - 4. Let h(x) = -2*x**2 - 6. What is a*v(f) + m*h(f)?
2*f**2
Let w(c) = 7*c**3 + 5*c**2 - 5*c. Let g(k) = -6*k**3 - 5*k**2 + 4*k. What is 5*g(s) + 4*w(s)?
-2*s**3 - 5*s**2
Let x(y) = y**2 + 2*y + 8. Let d(v) = -4*v**2 - 7*v - 25. Let u(c) = -2*d(c) - 7*x(c). Let a(b) = -1. What is 6*a(l) - u(l)?
-l**2
Suppose 5*i + 0*p + 20 = 5*p, 4 = -4*i - 2*p. Let l(d) = d**3 - d - 1. Let x(u) = -u**3 - 2. Determine i*l(f) + x(f).
-3*f**3 + 2*f
Let l(y) = -2*y**2 - 4*y + 6. Let w(o) = -5*o**2 - 9*o + 13. Determine 13*l(h) - 6*w(h).
4*h**2 + 2*h
Let u(h) = 7 - 4*h - 2*h + h - 4*h. Let d(i) be the third derivative of -i**4/6 + i**3/2 + i**2. Determine -7*d(q) + 3*u(q).
q
Let v(i) = 2*i**2 + 4*i - 1. Let f(h) = h**3 + 5*h**2 + 2*h + 7. Let q be f(-5). Let b(k) = 3*k**2 + 5*k - 1. Determine q*b(a) + 4*v(a).
-a**2 + a - 1
Let t(s) = 10*s. Let q(a) = 21*a. Calculate -2*q(m) + 5*t(m).
8*m
Let o(n) = -3*n. Let w = -13 - -18. Let l(v) = w - 4*v - 5. What is -5*l(q) + 7*o(q)?
-q
Let s(n) = n**2. Let b(k) = -30*k**2. What is -2*b(j) - 50*s(j)?
10*j**2
Let f(l) = 6*l**2 + 2*l - 3. Let g(k) = -k**2 + k - 1. Calculate f(q) - 2*g(q).
8*q**2 - 1
Let x(p) = -p**2 - 3*p + 6. Let g(u) = -u**2 - 3*u + 7. What is -3*g(r) + 4*x(r)?
-r**2 - 3*r + 3
Let z(u) = -4*u**2 + u - 2. Suppose 2*n = -10, 0 = -2*b - 5*n + 5 - 48. Let i(w) = -17*w**2 + 5*w - 8. Determine b*z(f) + 2*i(f).
2*f**2 + f + 2
Let t(s) = -s**3 - 4*s. Let i be 4 + 2/((-4)/2). Let r(k) = 0*k**3 + 6*k**3 - 3*k**i + 11*k. Calculate -4*r(m) - 11*t(m).
-m**3
Let q(m) = -m**3 - 2*m**2 - 3*m - 2. Let n(x) be the first derivative of -5*x**4/4 - 3*x**3 - 13*x**2/2 - 9*x + 8. Calculate -2*n(v) + 9*q(v).
v**3 - v
Let x(q) = -3*q - 1. Let i(l) = -7*l - 2. Determine 2*i(r) - 5*x(r).
r + 1
Suppose -5*u - 2*d - 3 = 0, -3*u + 2*u = 3*d + 11. Let j(k) = -k**2. Let s(f) = 6*f**2 + 3*f - 1. Give u*s(x) + 5*j(x).
x**2 + 3*x - 1
Let j(b) = -3*b**3 + 2*b + 3. Let m be 1 + 0 - (-4)/2. Let p(f) = 3*f**3 - f**2 - 2*f**m - 1 - f + 0*f**3. Let r = 2 - 3. Give r*j(u) - 2*p(u).
u**3 + 2*u**2 - 1
Let l(x) = -x. Let c(k) be the second derivative of 4*k**3/3 - 3*k. Determine -c(i) - 6*l(i).
-2*i
Let c(h) = -17*h**2 + 4*h**2 + 37*h**3 - 28*h**3 - 17. Let q(x) = -2*x**3 + 3*x**2 + 4. What is -6*c(m) - 26*q(m)?
-2*m**3 - 2
Let x(z) = 120*z**2 - 16*z - 16. Let d(h) = -40*h**2 + 5*h + 5. What is -16*d(c) - 5*x(c)?
40*c**2
Let j(b) = b**2 + 1. Let c(g) = -34*g**3 - 5*g**2 + 2*g - 5. Determine -c(d) - 5*j(d).
34*d**3 - 2*d
Let m(k) = 7*k + 7. Let z = -6 + 7. Let i(f) = -3*f - 3. Let q(b) = -2*b - 2. Let x(g) = -3*i(g) + 4*q(g). Determine z*m(t) - 6*x(t).
t + 1
Let g(l) = -l**2 - 3*l + 3. Suppose -9*x + 25 = -4*x. Let q(j) = j - 1. Give x*q(c) + g(c).
-c**2 + 2*c - 2
Let f(d) = -7*d**3 - 3*d**2 - 3*d - 3. Let m(o) = 2*o**2 + 334*o - 326*o + 20*o**3 + 8 + 6*o**2. Calculate 8*f(z) + 3*m(z).
4*z**3
Let t be ((-21)/12)/(4/16). Let k(o) = -4 + o + 0*o + 3. Let x(n) = 3*n - 4. What is t*k(a) + 2*x(a)?
-a - 1
Let o = 3 + 3. Let u(w) = 5*w - 6. Let y(q) = -6*q + 7. What is o*y(s) + 7*u(s)?
-s
Let r(v) = v + 5. Let z(f) be the first derivative of 2 - 2 + 3*f + 2 - 2*f. What is r(x) - 5*z(x)?
x
Let o(f) = -13*f**3 - 7*f + 10. Let r = -13 + 21. Let g(j) = j**2 - 9*j + 1. Let x be g(r). Let l(i) = 9*i**3 + 5*i - 7. What is x*l(m) - 5*o(m)?
2*m**3 - 1
Let t(i) be the first derivative of 4*i**2 - i - 384. Let b(s) = 0 + s + 0. Determine -5*b(a) + t(a).
3*a - 1
Let x(k) = 1. Let g(s) = 26*s - 5. Calculate -g(y) - 5*x(y).
-26*y
Let q(k) = -2*k + 3. Let b(u) = -2. Let j(g) be the first derivative of -3*g - 1. Let l = 0 - 4. Let s(p) = l*b(p) + 3*j(p). What is q(i) + 2*s(i)?
-2*i + 1
Let q(s) = -6*s**2 + 2*s - 1. Let j(t) = 17*t**2 - 7*t + 3. Give -4*j(g) - 14*q(g).
16*g**2 + 2
Let k(b) = b**3 - b**2 + 4*b - 2. Let w(p) = -3*p**3 + 3*p**2 - 11*p + 5. Let u(j) = 11*k(j) + 4*w(j). Let f(a) = -1. Give -3*f(n) + u(n).
-n**3 + n**2 + 1
Let k(s) = 1 + 49*s**3 + 5 - 33*s**3 - 7*s. Let r(q) = 11*q**3 - 5*q + 4. Let a(w) = w**3 + 9*w**2 + 8*w - 5. Let u be a(-8). Determine u*k(z) + 7*r(z).
-3*z**3 - 2
Let k = 25 + -12. Let d(h) = 7*h**2 + 7*h + k*h - 4 - 20*h. Let u(f) = -27*f**2 + 15. Calculate 15*d(a) + 4*u(a).
-3*a**2
Let n(p) = 3*p**2 + 2*p + 5. Let s(u) = -u - 1. Give n(d) + 4*s(d).
3*d**2 - 2*d + 1
Let g(f) = -f - 1. Let l(b) be the first derivative of 3*b**2 - 2 + b + 5*b + 0*b**2 + 3. Calc | {
"pile_set_name": "DM Mathematics"
} |
ng 2 o and 1 r.
63/272
What is prob of picking 2 j when two letters picked without replacement from jjjjkjkkkkjkkkjjkjj?
5/19
Three letters picked without replacement from {m: 2, a: 9}. Give prob of picking 2 a and 1 m.
24/55
Three letters picked without replacement from {i: 3, h: 4, f: 3, w: 3, v: 2, s: 1}. What is prob of picking 1 h and 2 i?
3/140
Four letters picked without replacement from {r: 4, p: 2, x: 9, h: 1, n: 1}. Give prob of picking 1 h, 2 x, and 1 n.
9/595
Three letters picked without replacement from smsmmss. Give prob of picking 3 s.
4/35
What is prob of picking 1 l and 1 r when two letters picked without replacement from {h: 1, z: 9, l: 2, x: 4, r: 4}?
4/95
Calculate prob of picking 1 b, 1 t, and 1 p when three letters picked without replacement from dpdpvvtbbddp.
3/110
Three letters picked without replacement from {p: 6, c: 5, r: 3, s: 1, q: 3}. What is prob of picking 1 s, 1 p, and 1 c?
5/136
Three letters picked without replacement from gugguggggg. Give prob of picking 2 u and 1 g.
1/15
What is prob of picking 1 y and 1 l when two letters picked without replacement from byiclcbp?
1/28
Three letters picked without replacement from gglggmlm. Give prob of picking 1 g and 2 l.
1/14
Calculate prob of picking 2 k when two letters picked without replacement from {x: 5, k: 9}.
36/91
What is prob of picking 1 f and 1 q when two letters picked without replacement from {f: 1, c: 1, q: 3}?
3/10
Two letters picked without replacement from vvomvhhhhvkkvvhv. What is prob of picking 2 v?
7/40
What is prob of picking 2 y and 1 p when three letters picked without replacement from {y: 7, c: 2, p: 4, l: 5}?
7/68
Three letters picked without replacement from {v: 2, z: 5, c: 6, l: 2, y: 3, k: 1}. Give prob of picking 1 y, 1 l, and 1 c.
12/323
Three letters picked without replacement from {e: 3, i: 4, b: 3, w: 1}. What is prob of picking 2 i and 1 w?
2/55
Calculate prob of picking 1 w, 1 j, and 1 d when three letters picked without replacement from {j: 2, w: 2, m: 1, n: 4, u: 3, d: 3}.
12/455
Two letters picked without replacement from {j: 1, x: 4, m: 2, c: 1}. What is prob of picking 1 x and 1 j?
1/7
Two letters picked without replacement from zchczuzhzzcjhchjhj. Give prob of picking 2 z.
10/153
What is prob of picking 4 c when four letters picked without replacement from lclcllllclrlllclllrr?
1/4845
Two letters picked without replacement from {k: 1, p: 7}. What is prob of picking 1 k and 1 p?
1/4
Calculate prob of picking 2 s when two letters picked without replacement from zmzbmsbs.
1/28
What is prob of picking 1 w and 1 o when two letters picked without replacement from wwwwsowwwoojosw?
32/105
Calculate prob of picking 2 j when two letters picked without replacement from mjmyymmmjmymmjmyyjmy.
3/95
Four letters picked without replacement from {u: 1, s: 1, n: 7, x: 3, b: 7}. What is prob of picking 1 u, 1 x, and 2 b?
21/1292
Two letters picked without replacement from eekkkkxkzkkkkxzkkkxd. Give prob of picking 1 x and 1 z.
3/95
Four letters picked without replacement from {k: 4, g: 5, m: 5}. Give prob of picking 2 m and 2 k.
60/1001
Two letters picked without replacement from {u: 7, t: 1}. Give prob of picking 1 u and 1 t.
1/4
Two letters picked without replacement from agggagaaaagaaggaaagg. Give prob of picking 1 a and 1 g.
99/190
Calculate prob of picking 1 e and 2 v when three letters picked without replacement from {e: 1, v: 7}.
3/8
Four letters picked without replacement from {o: 4, p: 1, f: 2, a: 2, u: 1, d: 2}. What is prob of picking 1 p, 1 d, 1 u, and 1 f?
4/495
Calculate prob of picking 2 o, 1 q, and 1 t when four letters picked without replacement from {w: 5, q: 1, t: 5, o: 4}.
2/91
What is prob of picking 4 t when four letters picked without replacement from rttllrtlltrrtttr?
1/52
Two letters picked without replacement from {s: 8, z: 2, v: 1, i: 1, y: 2, k: 6}. What is prob of picking 1 s and 1 y?
8/95
What is prob of picking 3 t when three letters picked without replacement from tttttgtgtttttgtggtt?
364/969
Two letters picked without replacement from fuf. Give prob of picking 1 u and 1 f.
2/3
Three letters picked without replacement from {d: 3, o: 1, s: 1, b: 5, r: 2, n: 3}. What is prob of picking 1 s, 1 n, and 1 b?
3/91
What is prob of picking 2 p, 1 c, and 1 f when four letters picked without replacement from {c: 2, f: 7, p: 4}?
84/715
Three letters picked without replacement from nqnnnqnqgqq. What is prob of picking 3 q?
2/33
Three letters picked without replacement from {o: 3, r: 11}. What is prob of picking 3 o?
1/364
What is prob of picking 1 t, 1 x, and 1 d when three letters picked without replacement from udvtuvpx?
1/56
What is prob of picking 1 s, 1 r, and 1 q when three letters picked without replacement from {q: 2, s: 3, r: 5}?
1/4
What is prob of picking 1 p, 1 u, and 1 s when three letters picked without replacement from {p: 3, u: 2, r: 4, s: 9}?
9/136
Three letters picked without replacement from {g: 1, b: 1, a: 1, r: 2, l: 3, p: 4}. Give prob of picking 2 l and 1 g.
3/220
What is prob of picking 1 p and 1 l when two letters picked without replacement from {s: 3, y: 2, p: 1, l: 6, v: 3}?
2/35
Three letters picked without replacement from {w: 1, m: 2, q: 1, g: 1}. What is prob of picking 1 q and 2 m?
1/10
Four letters picked without replacement from slsywilillssgssslyys. Give prob of picking 2 l and 2 y.
2/323
Calculate prob of picking 1 j and 1 h when two letters picked without replacement from jddjjjhd.
1/7
What is prob of picking 2 n and 2 s when four letters picked without replacement from jjsnjjeneejjeseeeje?
1/3876
Four letters picked without replacement from cncgkwvg. Give prob of picking 2 c, 1 g, and 1 k.
1/35
Calculate prob of picking 1 v and 1 c when two letters picked without replacement from ckcvkvvvcvchckvvckk.
14/57
What is prob of picking 1 r, 1 j, 1 d, and 1 f when four letters picked without replacement from {g: 4, f: 2, j: 1, d: 1, r: 1}?
1/63
Three letters picked without replacement from {q: 1, m: 3, y: 1}. What is prob of picking 1 y and 2 m?
3/10
What is prob of picking 1 s and 3 p when four letters picked without replacement from {v: 1, f: 3, s: 1, o: 4, n: 1, p: 4}?
4/1001
Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, q: 7}.
1/36
Three letters picked without replacement from {i: 10, g: 3, q: 2}. What is prob of picking 2 i and 1 g?
27/91
Calculate prob of picking 2 w and 1 f when three letters picked without replacement from wfwwwwffwfffwwwfff.
27/68
What is prob of picking 2 e when two letters picked without replacement from qkeepqpppkqp?
1/66
What is prob of picking 1 k and 1 e when two letters picked without replacement from klmletetkmymkl?
6/91
Two letters picked without replacement from dcpcrcr. What is prob of picking 1 r and 1 c?
2/7
Three letters picked without replacement from vvvvrvrvrv. Give prob of picking 3 v.
7/24
What is prob of picking 2 j and 1 z when three letters picked without replacement from {z: 4, j: 6}?
1/2
Calculate prob of picking 2 y when two letters picked without replacement from ggjgghgjjyqyg.
1/78
What is prob of picking 1 n, 1 c, and 1 e when three letters picked without replacement from {j: 1, z: 1, u: 1, c: 1, n: 2, e: 1}?
2/35
What is prob of picking 1 n and 1 b when two letters picked without replacement from {b: 1, k: 2, n: 2, r: 4}?
1/18
Calculate prob of picking 1 g, 1 m, and 1 q when three letters picked without replacement from {g: 2, x: 1, q: 3, m: 2, y: 6, c: 4}.
1/68
What is prob of picking 1 r and 1 m when two letters picked without replacement from llgrbpm?
1/21
Two letters picked without replacement from {k: 8, g: 1, f: 1, h: 5, n: 2, r: 3}. Give prob of picking 2 k.
14/95
Four letters picked without replacement from kwxwujwojoxjox. Give prob of picking 2 o, 1 w, and 1 k.
9/1001
Four letters picked without replacement from {b: 10}. What is prob of picking 4 b?
1
Three letters picked without replacement from {w: 8, l: 2, r: 1, m: 5, p: 1}. Give prob of picking 3 m.
1/68
Two letters picked without replacement from mnmmmnnmxmccqxx. Give prob of picking 1 n and 1 x.
3/35
Two letters picked without replacement from byyyoyygyggy. Give prob of picking 1 g and 1 y.
7/22
Two letters picked without replacement f | {
"pile_set_name": "DM Mathematics"
} |
2/9, 1/2
Let a be (2419/(-738)*9 - -30)*(-6)/(-7). Determine j so that -7500/7 - 300/7*j - a*j**2 = 0.
-50
Let x(n) be the first derivative of -n**4/4 - 23*n**3/2 - 63*n**2 + 305*n - 218. Let w(y) be the first derivative of x(y). Factor w(c).
-3*(c + 2)*(c + 21)
Let s = 101512/118433 + 2/118433. Suppose -2/7*y**3 - 4/7*y - s*y**2 + 0 = 0. What is y?
-2, -1, 0
Factor -15/2*h**2 + 93/2 - 1/4*h**3 + 37/4*h.
-(h - 3)*(h + 2)*(h + 31)/4
Let k(y) be the third derivative of -y**5/30 + 97*y**4/12 - 32*y**3 + 428*y**2 - 3*y + 1. Factor k(t).
-2*(t - 96)*(t - 1)
Factor 5751*k - 14*k**3 - k**4 + 5732*k - 25*k**2 - 11495*k.
-k*(k + 1)**2*(k + 12)
Let j(f) be the first derivative of -f**5/3 + 325*f**4/12 - 1535*f**3/9 + 705*f**2/2 - 300*f - 7122. Suppose j(h) = 0. Calculate h.
1, 3, 60
Let s(m) be the first derivative of m**4/2 + 562*m**3/3 + 19599*m**2 - 39762*m + 1196. Factor s(f).
2*(f - 1)*(f + 141)**2
Let 54*x**2 + 2*x**3 + 264 + 223*x + 126*x - 117*x = 0. What is x?
-22, -3, -2
Let -1404/7*r + 1402/7 + 2/7*r**2 = 0. Calculate r.
1, 701
Let o(i) be the third derivative of i**7/1680 + i**6/720 - i**5/120 + 42*i**3 + 45*i**2. Let m(j) be the first derivative of o(j). Find p, given that m(p) = 0.
-2, 0, 1
Let j(d) be the first derivative of -d**6/33 - 112*d**5/55 + 299*d**4/22 - 740*d**3/33 - 236*d**2/11 + 976*d/11 + 1491. Find a, given that j(a) = 0.
-61, -1, 2
Let f(v) = 30*v**2 - 121*v - 292. Let p(r) = 51*r**2 - 201*r - 486. Let t(c) = -12*f(c) + 7*p(c). Determine b, given that t(b) = 0.
-2, 17
Suppose a - 4*x + 40 = 0, -5*a - 17890*x + 17895*x = 35. Find b such that 0*b**3 + 0*b**2 + 0*b + 0 + 4/7*b**5 - 4/7*b**a = 0.
0, 1
Let g = -161 + 157. Let m(l) = 22*l**2 + 89*l + 8. Let k be m(g). Factor 10/11*i**3 - 2/11*i**2 - 8/11*i**k + 0 + 0*i.
-2*i**2*(i - 1)*(4*i - 1)/11
Let d(t) be the first derivative of -7*t**2 + 0*t - 1/24*t**4 - 1/4*t**3 + 1/120*t**5 + 5. Let l(n) be the second derivative of d(n). Factor l(u).
(u - 3)*(u + 1)/2
Let v(w) be the first derivative of -w**6/24 + 7*w**5/20 + 9*w**4/8 + w**3/6 - 17*w**2/8 - 9*w/4 + 153. Find z, given that v(z) = 0.
-1, 1, 9
Let o(m) be the first derivative of -m**4 - 268*m**3/3 - 262*m**2 - 260*m - 6678. Suppose o(i) = 0. Calculate i.
-65, -1
Suppose 5*h - 20 = -5*x, 3*x + 20 = -h + 8*x. Suppose 14*f - 9*f - 125 = h. Solve -10*y**4 - 57*y**2 - 34*y**3 - 8*y - 3 + 3 + f*y**2 = 0.
-2, -1, -2/5, 0
Suppose 8*o + 6 + 2 = 0. Let a be (o + -2)*(33/(-22) - 2). Solve 21/2*y**4 + 0 - a*y**3 - 3*y**5 + 0*y + 3*y**2 = 0 for y.
0, 1/2, 1, 2
Let q(l) = l**3 - 15*l**2 - 8*l - 69. Let v be q(15). Let o be 6 - 16/(576/v). What is j in 0 + 0*j - o*j**2 - 5/4*j**4 - 15/2*j**3 = 0?
-3, 0
Suppose 67*a = 78*a. Let u(d) be the second derivative of 1/3*d**4 - 2*d + 3/10*d**5 + a + 0*d**2 + 0*d**3. Determine j, given that u(j) = 0.
-2/3, 0
Let z = 21 - 16. Let b = z + -5. Determine d, given that -4*d**2 + 2*d + 5*d**2 + b*d - 2*d**2 = 0.
0, 2
Solve 104*x + x**4 + 142*x + 53*x**3 + 77*x**3 + 44*x + 425*x**2 - 6*x**4 = 0 for x.
-2, -1, 0, 29
Let b(u) be the first derivative of -5/3*u**3 + 0*u - 25/2*u**2 + 47. Solve b(k) = 0.
-5, 0
Determine j, given that 398/9*j + 2/9*j**3 + 404/9*j**2 - 268/3 = 0.
-201, -2, 1
Let w = 568/521 - 1751/2084. Factor 0 - 1/4*j**4 + 1/2*j**3 + w*j**2 - 1/2*j.
-j*(j - 2)*(j - 1)*(j + 1)/4
Let a(q) be the third derivative of q**8/1008 - q**7/315 - q**6/18 + 31*q**5/90 - 61*q**4/72 + 10*q**3/9 - 1593*q**2 - q - 1. Determine d so that a(d) = 0.
-5, 1, 4
Let b(u) be the first derivative of -u**5/5 + 33*u**4/4 - 136*u**3 + 1120*u**2 - 4608*u - 564. Determine t, given that b(t) = 0.
8, 9
Let y be (-82 - -83)*(0 + 80)/(-2). Let t = y + 45. What is c in 68/9*c**2 + 4/3*c + 112/9*c**4 + 32/9*c**t + 0 + 136/9*c**3 = 0?
-3/2, -1, -1/2, 0
Factor -80*z**3 - 14*z**3 - 20*z**2 + 32*z**2 + 81*z**2 + z**4.
z**2*(z - 93)*(z - 1)
Solve -28*j**2 - 98*j**2 - 276*j**2 - 7*j**3 + 4*j**3 + 405*j = 0.
-135, 0, 1
Let i(u) = u**2 - 62*u + 795. Let n be i(18). Let -7/4*a**2 - 1/4*a**n - 3 - 4*a = 0. What is a?
-3, -2
Let t(j) be the first derivative of j**5/35 - 31*j**4/28 + 85*j**3/7 - 225*j**2/14 + 4315. Factor t(w).
w*(w - 15)**2*(w - 1)/7
Factor 236 - 3*y**2 - 714 + 238 + 240 - 5319*y.
-3*y*(y + 1773)
Let p be 2/(-76)*2834/(-327) + (-6)/(-57). Factor -5/3*n + p*n**2 + 0.
n*(n - 5)/3
Let r = 2/119 + -1692/1547. Let o = 8/65 - r. Factor -4/5*p**2 + 2/5*p**5 + 0 + 0*p**4 + 0*p - o*p**3.
2*p**2*(p - 2)*(p + 1)**2/5
Let h(f) = -11*f**2 - 43*f + 9. Let r be h(-4). Suppose 5*l**r - 8*l - 8*l**4 + 10*l**2 - 14*l - 7*l + 24*l - 2*l**4 = 0. Calculate l.
-1, 0, 1
Let t(u) be the third derivative of 23/40*u**4 - 1/25*u**6 - 11*u + 9*u**2 + 0 - u**3 + 1/560*u**8 - 1/10*u**5 + 2/175*u**7. Determine a so that t(a) = 0.
-5, -2, 1
Let y(s) be the second derivative of -s**6/180 + s**5/12 + s**4/2 + 47*s**3/6 - 11*s. Let u(d) be the second derivative of y(d). Factor u(w).
-2*(w - 6)*(w + 1)
Let h(f) be the third derivative of 0*f**3 + 1/120*f**6 - 1/10*f**5 - 88*f**2 + 0 + 5/24*f**4 + 0*f. Let h(m) = 0. What is m?
0, 1, 5
Suppose 646 - 1010 = -555*j + 746. Determine s, given that 0 + 3/2*s**5 - 6*s**j + 4*s**3 + 0*s + 13/2*s**4 = 0.
-3, -2, 0, 2/3
Let k(j) be the first derivative of -4*j + 76 - 1/3*j**3 + 2*j**2. Factor k(u).
-(u - 2)**2
Let u(b) be the second derivative of 25*b**4/12 + 4670*b**3/3 - 1870*b**2 + 5794*b. Solve u(k) = 0.
-374, 2/5
Let j(m) be the third derivative of m**6/210 - 2*m**5/15 - 5*m**4/14 - 496*m**2 + 2. Factor j(d).
4*d*(d - 15)*(d + 1)/7
Let h = 7236 + -7212. Let d(t) be the first derivative of -h - 3/5*t**5 + 0*t - 3/4*t**4 + 0*t**2 + t**3 + 1/2*t**6. Let d(n) = 0. Calculate n.
-1, 0, 1
Suppose -2 + 8 = 2*b + 2*v, -38*v = -7 - 107. Let -y**2 + 1/3*y**3 + b - 4/3*y = 0. Calculate y.
-1, 0, 4
Factor 1135*k + 5/2*k**2 - 2275/2.
5*(k - 1)*(k + 455)/2
Suppose -26 = 7*l + 107. Let o(b) = 19*b + 364. Let s be o(l). Find j, given that 53/10*j**2 + 21/10*j + 27/10*j**s - 9/10 + 2/5*j**4 = 0.
-3, -1, 1/4
Let h(o) be the third derivative of 1/315*o**7 + 0*o**3 + 37*o**2 - 1/144*o**4 + 0*o - 1/2016*o**8 + 1/90*o**5 + 0 - 1/120*o**6. Solve h(s) = 0 for s.
0, 1
Let h(u) be the first derivative of -u**3/12 + 11*u**2/2 - 43*u/4 + 141. Factor h(r).
-(r - 43)*(r - 1)/4
Let q be (19*-1)/(168/2268). Let l = 257 + q. Factor 5/2*u**3 + 3/2*u + 0 + 7/2*u**2 + l*u**4.
u*(u + 1)**2*(u + 3)/2
Let z(q) be the second derivative of 1/120*q**4 + 0 - 3/20*q**2 - 23*q + 1/30*q**3. Factor z(s).
(s - 1)*(s + 3)/10
Let a(q) be the second derivative of q**4/36 - 175*q**3/3 - 299*q + 1. Find o such that a(o) = 0.
0, 1050
Let z = 401739 + -401736. Determine m so that 1/4*m**z - 5/4*m**2 - 1/8*m + 5/8 + 5/8*m**4 - 1/8*m**5 = 0.
-1, 1, 5
Let t be 20/8*(2*-1 - 0). Let a(o) = 12*o**2 + 11*o + 7. Let q(x) be the first derivative of x**3/3 + x**2/2 + x + 12. Let r(c) = t*a(c) + 35*q(c). Factor r(l).
-5*l*(5*l + 4)
Let x(d) = -d**3 - 9*d**2 - 66*d - 44. Let u be x(-19). Factor -u + 7*g**2 + 65*g - 2400 + 315*g - 12*g**2.
-5*(g - 38)**2
Let c(h) be the second derivative of -5/6*h**3 - 18 + 2*h + 45/2*h**2 + 1/4*h**5 - 15/4*h**4. Find i such that c(i) = 0.
-1, 1, 9
Let u(j) be the second derivative of 28/9*j**3 - 4/3*j**2 - 35/18*j**4 + 11/30*j**5 + 0 - 76*j. Factor u(n).
2*(n - 2)*(n - 1)*(11*n - 2)/3
Let t(x) be the first derivative of x**5/5 + 143*x**4/4 - 145*x**3 + 437*x**2/2 - 146*x + 2918. Factor t(s).
(s - 1)**3*(s + 146)
Let b be 3 - 4 - -8 - (-135)/(-30). Let t(c) be the third derivative of 10*c**2 + 0 - 1/12*c**5 + b*c**3 + 0*c - 5/12*c**4. Factor t(u).
-5*(u - 1)*(u + 3)
Factor 2532*q**3 + 3*q**4 + 288*q**2 - 5132*q**3 + 2534*q**3 + 864*q.
3*q*(q - 12)**2*(q + 2)
Let i(z) be the first derivative of z**3/9 + 13*z**2/6 - 66*z + 8192. Factor i(n).
(n - 9)*(n + 22)/3
Find l, given that -76/5*l**3 + 0 - 104/5*l**2 - 48/5*l - 22/5*l**4 - 2/5*l**5 = 0.
-6, -2, -1, 0
Let t(r) = -32*r**2 - 4*r - 10. Let o(j) = -10*j**2 - 2*j - 3. Let n(l) = 10*o(l) - 3*t(l). Factor n(x).
-4*x*(x + 2)
Let v(j) be the second derivative of -j**6/10 + 9*j**4/4 - 2*j**3 - 18*j**2 - 3*j + 129. Factor v(u).
-3*(u - 2)**2*(u + 1)*(u + 3)
Let t = -3430 + 6861/2. Let i(g) be the first derivative of 1/2*g**3 + t*g**2 + 1/20*g**5 + 18 + 1/4*g + 1/4*g**4. Suppose i(m) = 0. Calculate m. | {
"pile_set_name": "DM Mathematics"
} |
remainder when 1261/39 + 1/(-3) - 1 is divided by 19.
12
Let k(f) = 3*f + 28. Let c be k(-7). Suppose -6*l = -c*l + 23. What is the remainder when 135 is divided by l?
20
Let a(k) = -k**2 + 4*k. Let z be a(1). Suppose -136 = -3*s - 4*p, -z*p = -2*s + 58 + 44. What is the remainder when 137 is divided by s?
41
Let x(v) be the third derivative of 59*v**5/60 - 7*v**2. Suppose 2*s = -8*s + 120. What is the remainder when x(1) is divided by s?
11
Let u(j) = -j**2 + 43*j + 542. Suppose -2*s - 3*s + 132 = 3*c, 4*s + 3*c - 105 = 0. Calculate the remainder when u(51) is divided by s.
26
Calculate the remainder when 1308 is divided by (-5)/(-13 - (-684)/54).
3
Suppose 0 = -2*d - o + 23, -o + 4*o + 15 = 0. Suppose 0 = -l - 9*l + 480. Calculate the remainder when l is divided by d.
6
Suppose 101 = -6*w + 179. Calculate the remainder when 269 is divided by w.
9
Let x(r) = -3*r**3 - 18*r**2 - 3*r - 2. Suppose -1 = n + 5*o - 5, 2*n + 3*o + 6 = 0. What is the remainder when 28 is divided by x(n)?
12
Let b = -402 + 414. Calculate the remainder when 266/4 + 6/b is divided by 67.
0
Let w = 2099 + -1213. Suppose -3*o = 6, -j + 4*o = -123 + 26. Calculate the remainder when w is divided by j.
85
Let u(s) = 4*s + 14. Let c be u(-4). Calculate the remainder when 12 is divided by (-2 - 0)/c + (9 - 5).
2
Suppose 0 = 4*f + 5*p - 81, -2*f = -10*p + 8*p - 54. Suppose -492 = 12*x - f*x. What is the remainder when 118 is divided by x?
36
Suppose 285*l = 7845 + 3270. What is the remainder when 141 is divided by l?
24
Suppose -84 = 5*i - 529. Let v be (2 + 434/21)/((-4)/(-42)). Suppose 3*x - v = -2*x - 2*a, -5*a = -4*x + 164. Calculate the remainder when i is divided by x.
43
Let d = 101 - 64. Let m = d - 11. Suppose -o + m = 2*v, 0*v + 3*o - 23 = -v. Calculate the remainder when 41 is divided by v.
8
Suppose 18 = -r + 212. Calculate the remainder when r is divided by 47.
6
Suppose 601 = 8*o - 3*o - 4*m, -3*m = o - 105. Let s = 1 - -3. Calculate the remainder when o is divided by s.
1
Calculate the remainder when (1430/(-33))/((-11)/132) is divided by 19.
7
Let t(l) = 9*l**2 + 78*l + 10. Calculate the remainder when 459 is divided by t(-9).
15
Suppose 0 = 4*l + 38 - 326. Let v be -1*(-58 + 42/7). Let a = l - v. What is the remainder when a is divided by 15?
5
Suppose -o - 2*s = -339, -4*o + 3*s = o - 1695. What is the remainder when o is divided by 26809/765 + -15 - 6/135?
19
Let j(h) = 9*h**2 + 195*h + 789. What is the remainder when j(-4) is divided by 26?
23
Suppose 0 = -4*h - h + 15, -2*h = -5*i + 689. Let z = 57 - i. Calculate the remainder when 53 is divided by 4/12 - z/6.
11
Suppose 2*t = k + t - 155, 2*t = 0. Let l = -6666 + 6692. What is the remainder when k is divided by l?
25
Suppose 0 = -5*a + j + 1523, -2*j + 1231 = 4*a - j. Calculate the remainder when a is divided by 192.
114
Let f be 2/(-4) - 450/4. Let w be (4/(-10))/(44/9680). Let p = w - f. What is the remainder when p is divided by 14?
11
Let k(h) = -884*h - 6676. Calculate the remainder when k(-9) is divided by 217.
195
Suppose 4*a - 2*s - 284 = 0, 39 = -2*a + 2*s + 183. What is the remainder when 123 is divided by a?
53
Let a(h) = -2*h**2 + 15*h - 105. Let y be a(14). Let d = -227 - y. Calculate the remainder when d is divided by 56.
4
Let z be (-2)/4 - 6/((-60)/25). Suppose -18*h + 40 = -14*h + 4*l, z*h - 2*l - 4 = 0. Calculate the remainder when 15 is divided by h.
3
Suppose 3222355 - 11471604 = -817*k. Calculate the remainder when k is divided by 326.
317
Let l = -203 - -209. Let y(a) = 10*a - 22. What is the remainder when 303 is divided by y(l)?
37
Suppose p + 15 = 4*p. What is the remainder when ((-27)/6)/((-1)/2) is divided by -2 + 2 + -1 + p?
1
Let f(k) = -64*k - 2383. Calculate the remainder when f(-40) is divided by 40.
17
Suppose -115*n - 397429 = -1123079. Calculate the remainder when n is divided by 107.
104
Let q(t) = 16*t**3 + 4*t**2 - t - 2. Let w be q(1). Let d = 151 - w. Suppose 2*x - 5*l = 54, 4*l - l = 0. Calculate the remainder when d is divided by x.
26
What is the remainder when 64 + -2 + -23 + 41 is divided by 4?
0
Let g(x) = -758*x - 2855. Calculate the remainder when g(-7) is divided by 152.
19
Suppose 0 = -223*h + 38843 + 9147 + 31398. Let l(s) = 3*s + 2. Calculate the remainder when h is divided by l(6).
16
Let p = 86 + -83. Suppose 3*i - 42 = -p*i. Let a = i + 134. What is the remainder when a is divided by 16?
13
Let s = 11 + -14. Suppose -5*v + 5*q + 243 = -272, -3*q - 505 = -5*v. What is the remainder when v is divided by (-4 - s - 1) + 35?
32
Let h(r) = 84*r - 1558. Calculate the remainder when h(44) is divided by 58.
50
Suppose 0 = -2*a - 39*g + 44*g + 1359, -g = -5*a + 3363. Suppose -63*w + a = -57*w. Calculate the remainder when w is divided by 3.
1
Let y be (2 - 2)/(3 - 4). Suppose -w + 3 = h, 5*h + 7*w - 5*w - 27 = y. What is the remainder when 81 is divided by h?
4
Let z(p) = p - 1. Let d(q) = -12*q + 6. Let x(t) = 2*d(t) + 22*z(t). Let j(o) = 52*o + 45. Let w be j(-1). What is the remainder when x(w) is divided by 3?
1
Let r = 1889 + -1711. Calculate the remainder when r is divided by 57.
7
Suppose -14764*k + 14733*k = -527. What is the remainder when 7851 is divided by k?
14
Let q(r) = r**2 + 40*r - 68. Let a be q(-28). Let j = a - -499. Calculate the remainder when j is divided by 11.
7
Let q(o) = -8*o - 11. Let g be ((-2)/5 - -1)/(28/140). Suppose -53 = g*y + 4*r - 0*r, 4*r + 9 = y. Calculate the remainder when q(y) is divided by 29.
19
Let l = -19 - -29. Suppose -9*y + 2*x + 34 = -8*y, -y - 4*x = -40. What is the remainder when y is divided by l?
6
Let l(i) = i**3 - i**2 - 54*i + 97. Let j(h) = 448*h**3 - h**2 + h. What is the remainder when j(1) is divided by l(8)?
109
Let y = 37 - 7. Suppose j - d = y, -j - 2 + 42 = -3*d. What is the remainder when j is divided by 3?
1
Let t(p) = 11*p + 364. What is the remainder when t(9) is divided by 126?
85
Let p(s) = -8*s + 1. Let j = -100 + 103. Suppose j*k = 9*k - 198. What is the remainder when k is divided by p(-2)?
16
Suppose -21*t + 11*t + 90 = 0. What is the remainder when 121 is divided by (31/(-2))/(-2 + t/6)?
28
Let l be (3/(-30))/((-1)/(-6))*-30. Calculate the remainder when 49/(5 + l/(-4)) is divided by (-1)/((-3)/33)*3.
32
Let l be (11/1 - 1) + -2. Let v(g) = 3*g + 8. Suppose -j + 244 = 227. What is the remainder when v(l) is divided by j?
15
Let m(d) = d**2 - 10*d + 16. Let u be m(2). Suppose u = -13*a + 7*a + 72. Calculate the remainder when 58 is divided by a.
10
Let o = -23116 + 23146. What is the remainder when 657 is divided by o?
27
Let u = 5550 - 5479. What is the remainder when 264 is divided by u?
51
Let j = -3219 - -3234. What is the remainder when 254 is divided by j?
14
Suppose -37*h = -3*w - 42*h + 762, -2*w + 5*h + 533 = 0. What is the remainder when w is divided by 46?
29
Suppose 61*s - 64*s = -93. Suppose -2*a + 5*l = -61, l = -3*a - 0*l + 134. Let t = -36 + a. Calculate the remainder when s is divided by t.
3
Let r(o) = 3*o - 55. Let u be r(-11). What is the remainder when 25/(-2)*u/55 is divided by 11?
9
Suppose 8*i - 330 - 132 = 682. Calculate the remainder when 425 is divided by i.
139
Let s = -745 + -234. What is the remainder when 117 is divided by (-8)/10 + s/(-55)?
15
Calculate the remainder when (15/(-2)*(-35 + 37))/((-1)/118) is divided by 221.
2
Let l be (-4)/(-2) - (86 - -1 - -8). Let x = l - -124. What is the remainder when 84 is divided by x?
22
Let u(h) = -h**3 - 4*h**2 - 4*h - 6. Suppose -5*f + 2*b + 14 = 0, f - 5*b + 16 = 28. What is the remainder when u(-4) is divided by f?
0
Let f(r) = -r + 7. Suppose 5*b = -3*o + 13, -b + 1 = -2*o - 12. Let v be -3 - (o - -1 - -4). Calculate the remainder when 64 is divided by f(v).
9
Suppose -312 = -4*i - z, -z + 384 = 10*i - 396. What is the remainder when i is divided by 43?
35
Let x = -521 - -327. Let n = -155 - x. What is the remainder when 153 is divided by n?
36
Let u = -685 - -760. Calculate the remainder when u is divided by 31.
13
Let h(x) = -3*x**3 - x**2 - 1. Suppose -110*c + 118*c - 6520 = 0. Suppose -19*t + c = -211. Calculate the remainder when t is divided by h(-2).
16
Let t(v) be the first derivative of 7*v**4 - v**2/2 + v - 14. What is the remainder when 6576/80 + (-1)/5 is divided by t(1)?
26
Let h(q) = 13*q**3 - q | {
"pile_set_name": "DM Mathematics"
} |
x(c(a)).
-4*a
Let t(w) = 94*w. Let u(l) be the second derivative of 1/3*l**3 + 83*l + 0 + 0*l**2. Calculate u(t(j)).
188*j
Let z(d) be the first derivative of -d**2/2 - 52. Let f(o) be the first derivative of -2*o**2 - o**2 - 88 + 87. What is z(f(u))?
6*u
Suppose -4*p = 5*p - 135. Let x(a) = -32*a + 10*a + 9*a + p*a. Let t(c) = -c**2 - 90*c. What is x(t(z))?
-2*z**2 - 180*z
Let y(f) be the third derivative of 7*f**5/60 - 2*f**3 - 7*f**2 - 7*f. Let i(z) = z - 2. Let l(p) = -4*p + 7. Let g(m) = -7*i(m) - 2*l(m). Calculate y(g(o)).
7*o**2 - 12
Let n(c) = 3479*c**2 + 41*c. Let q(j) = -3*j. Give q(n(k)).
-10437*k**2 - 123*k
Let v(z) = 36*z**2. Let r(q) = -194751*q + 1. What is r(v(u))?
-7011036*u**2 + 1
Suppose -5*v - 5*x + 20 = 0, 2*x = 5*x - 6. Suppose -5*n - 2*h = -v, 0*h = 2*h + 8. Let l(u) = 2*u - n*u - u. Let d(j) = 11*j**2. Determine l(d(g)).
-11*g**2
Let b(j) = -2*j. Let k(f) = -309125238*f. Calculate k(b(i)).
618250476*i
Let c(z) = 3*z. Suppose 21 = 2*j + 5*i, -5*j - i = -12 - 6. Suppose -2*a + 2*g - 1 = a, -a + 2*g = j. Let v(l) = -1 - 2*l + a. Give v(c(y)).
-6*y
Let w(d) be the second derivative of -d**4/6 - 6*d + 35. Let u(b) = -3*b**2 - 1. Let l(k) = 3*u(k) - 4*w(k). Let q(o) = o. Determine q(l(s)).
-s**2 - 3
Let o(s) = -2*s. Let j(b) be the third derivative of 0*b**3 - 8*b**2 + 2*b - 43/30*b**5 + 0*b**4 + 0. Give j(o(n)).
-344*n**2
Let l(h) = -3*h. Suppose -2*o = -3 - 5. Suppose 43 = 2*b - 5*j - 0*j, o*j + 4 = 0. Let i(v) = b - 45 + 26 - 4*v. Determine i(l(y)).
12*y
Let x(r) = 523*r + 7. Let a(u) = -2*u**2 - 105*u. Determine x(a(k)).
-1046*k**2 - 54915*k + 7
Let a(u) = -6*u. Let v(w) = -11*w**2 - 253*w - 7. Let z(o) = -5*o**2 - 128*o - 3. Let q(f) = -3*v(f) + 7*z(f). What is a(q(m))?
12*m**2 + 822*m
Let a(n) = -10*n + 6*n + 1 - 1. Let p(j) = 2*j - 725*j**2 + 360*j**2 - 36*j + 363*j**2. Determine p(a(w)).
-32*w**2 + 136*w
Let f(l) be the first derivative of 2*l**3/3 - 746. Let b(h) = -15*h - 19. Calculate b(f(r)).
-30*r**2 - 19
Let u(p) = 89*p. Let v(j) = -576993*j - 3. Give u(v(o)).
-51352377*o - 267
Let d(q) = 15*q**2 - 79*q**2 + 18*q**2 + 21*q**2 + 20*q**2. Let x(u) = -11*u**2 + 4. Let j(k) = 330*k**2 - 121. Let t(b) = -4*j(b) - 121*x(b). What is d(t(o))?
-605*o**4
Let y(c) = -2228*c. Let t(d) be the second derivative of 2*d**3/3 - 3830*d + 2. Calculate t(y(w)).
-8912*w
Let z(x) = 238700*x**2. Let g(c) = -3*c**2 + 144. Give g(z(l)).
-170933070000*l**4 + 144
Let d(z) be the second derivative of 28*z**4/3 - 8870*z. Let u(p) = -10*p**2 + 3. Calculate d(u(w)).
11200*w**4 - 6720*w**2 + 1008
Let k(i) = -209756 + 57*i + 209756 - 18*i + 19*i. Let r(n) = -n. Calculate k(r(w)).
-58*w
Let z(d) = -4*d + 3*d - 3*d + 2*d. Let q(n) be the second derivative of 0*n**2 + 0*n**3 - 2 + 7*n + 53/12*n**4. Determine q(z(j)).
212*j**2
Let w(t) = -7418945*t**2. Let v(m) = -44*m**2. Determine v(w(x)).
-2421792776173100*x**4
Let g(b) = 594*b**2 + 2. Let t(n) be the third derivative of -n**4/12 - 2*n**2 + 7*n + 13. Give t(g(s)).
-1188*s**2 - 4
Let x(y) = -3*y**2. Suppose 29*z + 0*z = 58. Let b(q) = -3 + z + 3 + 41*q**2 - 10*q**2. Calculate b(x(n)).
279*n**4 + 2
Let a(s) = 5*s. Let j(d) be the first derivative of d**4/3 - 33*d - 34. Let n(t) be the first derivative of j(t). What is n(a(k))?
100*k**2
Let b(g) = 6*g - 9. Let i be (1/3)/((-15)/90). Let t(n) = -1. Let x(o) = i*b(o) + 18*t(o). Let l(h) = 6*h. Give l(x(v)).
-72*v
Let o(r) = 3*r**2 + 4*r + 4. Suppose 0 = 58*p - 61*p + 12. Let h(g) = -3*g**2 - 3*g - 3. Let u(k) = p*h(k) + 3*o(k). Let l(s) = 39*s**2. Determine l(u(q)).
351*q**4
Let r(q) = -15*q**2 + 18*q - 132. Let l(a) = 21*a**2 - 22*a + 165. Let b(y) = -9*l(y) - 11*r(y). Let x(m) = -6*m. Give b(x(u)).
-864*u**2 - 33
Let f(k) = 114*k**2. Suppose -5*b - 3*q + 94258 = 0, -b + 14*q + 18846 = 9*q. Let h(j) = -3*j - 18851 + b. Determine f(h(z)).
1026*z**2
Let f(q) be the third derivative of -5*q**4/24 + 213*q**2 - 7*q. Let a(m) be the first derivative of -m**3 + 2. Determine a(f(s)).
-75*s**2
Let i(z) = -13*z - 1. Let x(j) = 2820*j - 5. Let b(f) = -5*i(f) + x(f). Let q(g) = g. What is b(q(y))?
2885*y
Let x(z) be the second derivative of 43*z**3/6 - 7230*z. Let p(l) = -272*l**2. What is x(p(n))?
-11696*n**2
Let d(w) = 75*w. Let f(z) = 167658*z**2. Determine f(d(a)).
943076250*a**2
Let u(b) = 2*b**2. Let v be ((-155)/(-25) - 7)*-2165. Let y(g) = 2*g**2 - 1732*g + v*g - 148. What is u(y(j))?
8*j**4 - 1184*j**2 + 43808
Let n(l) = l**2. Let f(w) = -692511*w**2 + 6*w + 3. Give f(n(k)).
-692511*k**4 + 6*k**2 + 3
Let u(y) be the first derivative of y**2/2 - 1. Let j(q) = -53*q**2 + 85*q**2 - 19*q**2 - 14*q**2. Determine u(j(n)).
-n**2
Let k(j) be the second derivative of -7*j**3/6 - 3*j**2 - 2238*j. Let g(o) = 2*o. What is k(g(u))?
-14*u - 6
Let w(f) = 68*f + 25. Let o(t) = -98*t - 35. Let r(y) = -5*o(y) - 7*w(y). Let i(m) = -19*m**2. Calculate r(i(k)).
-266*k**2
Let n(p) = -35231497*p. Let v(l) = 2*l**2. Calculate v(n(x)).
2482516761722018*x**2
Let g(a) be the third derivative of a**4/6 + 26*a**2. Let s(p) = -14*p**2 + 9*p - 9. Let w(k) = k**2 - k + 1. Let c(u) = 4*s(u) + 36*w(u). Calculate c(g(l)).
-320*l**2
Suppose -9*m + 93 = -6. Let i(p) = 168 - 81 - 87 + m*p. Let x(f) = f. What is x(i(u))?
11*u
Let j(w) = 5*w - 11. Let u be 747/(-166)*(-2)/(-3) + -1. Let o(x) = -x + 2. Suppose -3*f = 2*f + 110. Let l(a) = f*o(a) + u*j(a). Let y(p) = 43*p. Give y(l(v)).
86*v
Let b(q) be the first derivative of -20*q**3/3 + 22*q - 12021. Let m(u) = -3*u. What is m(b(x))?
60*x**2 - 66
Let o(b) = 1442065*b. Let u(t) = t. What is u(o(d))?
1442065*d
Let o(l) = 381*l + 1. Let z(g) = -g**2 - 10*g. Calculate o(z(b)).
-381*b**2 - 3810*b + 1
Let s(y) be the first derivative of -401*y**3/6 - 174*y - 273. Let j(d) be the first derivative of s(d). Let c(b) = -2*b**2. Determine j(c(p)).
802*p**2
Let g(s) = 290*s - 21. Let d(b) = -1443*b + 112. Let z(k) = -3*d(k) - 16*g(k). Let p(j) = -22*j. Determine p(z(a)).
6842*a
Let q(s) be the second derivative of s**3/2 + 2611*s. Let u(y) = 323*y. What is q(u(n))?
969*n
Let w(k) = k. Suppose -4*f - 53 = -3*r, 0 = 4*r - 6*f + f - 70. Let s = 261 + -243. Let b(c) = -s - r*c + 18. Calculate w(b(v)).
-15*v
Let d(q) = -4048*q + 2025*q + 2016*q. Let o(n) = -3*n + 82. Calculate o(d(z)).
21*z + 82
Let w(i) = 4*i**2 - 8*i. Let o(a) = 5*a**2 - 12*a. Let k(g) = 4*o(g) - 6*w(g). Let y(t) = -627*t. Give k(y(z)).
-1572516*z**2
Let m(x) = -1640177*x**2. Let s(o) = 22*o. What is s(m(h))?
-36083894*h**2
Let f(g) = -5*g**2. Suppose -10*z - 45 = -19*z. Let m(v) = -289*v**2. Let q(j) = -12*j**2. Let w(d) = z*m(d) - 119*q(d). Calculate w(f(i)).
-425*i**4
Let n be 7 + -7 + (1 - 3) + 19. Let y(b) = -b + 17. Let q be y(n). Let l(j) = 194 - 194 + q*j**2 + 2*j**2. Let d(c) = c**2. What is l(d(s))?
2*s**4
Let g(p) = -3070*p. Let o(z) = -61*z - 9. Let y(a) = -81*a - 12. Let q(c) = -4*o(c) + 3*y(c). Determine q(g(u)).
-3070*u
Let d(t) = 88*t. Let r(q) = -2622*q**2 - 4*q + 2. Calculate d(r(c)).
-230736*c**2 - 352*c + 176
Let n(c) = 5*c**2 - 159410. Let h(a) = 3*a. Determine h(n(v)).
15*v**2 - 478230
Let o(z) = z. Let x(w) = -232*w**2 - 2*w - 225*w**2 + 22*w**2 + 0*w + 110*w**2. What is x(o(g))?
-325*g**2 - 2*g
Let w(n) be the third derivative of 3/20*n**5 + 0*n**4 - n - 124*n**2 + 0 + 11/6*n**3. Let f(g) = -g. What is f(w(l))?
-9*l**2 - 11
Let g(y) be the first derivative of -19/2*y**2 + 145 + 0*y. Let d(a) = -a**2. Give g(d(f)).
19*f**2
Suppose -82 = -9*w + 8*w. Let v(z) = -35 + w + 3*z**2 - 44. Let b(l) = -10*l. Calculate v(b(d)).
300*d**2 + 3
Let h(v) = 711*v - 2. Let q(j) = -3910*j + 11. Let s(f) = -22*h(f) - 4*q(f). Let w(x) = 3*x**2 + 0*x**2 + 3*x - 13*x**2. Determine s(w(a)).
20*a**2 - 6*a
Let h(l) = -5*l. Let m(g) = -3*g. Let j(x) = -5*h(x) + 8*m(x). Let s(k) = 55*k - 8. Give j(s(y)).
55*y - 8
Let u(q) = 2*q**3 + 15*q**2 + 3*q - 17. Let p be u(-7). Let h(g) = p*g**2 + 2924 - 2924. Let w(i) = -12*i**2. What is h(w(t))?
1584*t**4
Let i(m) = 11*m**2 + 59*m - 72. Let r(f) = -163*f. Calculate r(i(c)).
-1793*c**2 - 9617*c + 11736
Let y(n) = 46*n**2. Let t(f) be the first derivative of -f**2/2 + 22. Let k(r) = -r. Let u(g) = 5*k(g) - 4*t(g). Determine u(y(h)).
-46*h**2
Suppose -32 + 6 = -4*s - 5*u, 4*s + 3*u = 22. Let d be 1/(-2) + s + 9/(-6). Let x(a) = a + 5*a - a - d*a. L | {
"pile_set_name": "DM Mathematics"
} |
(b - 3)*(5*b - 1)**2/3
Factor -6*w**3 - 9*w**3 + 14*w**3.
-w**3
Let v be (-28)/(-21)*(-2)/(-8). Let -2/3*j**2 - v*j + 1/3 = 0. Calculate j.
-1, 1/2
Let p = 104/209 - 6/19. Factor -2/11*v**3 + p*v - 2/11*v**2 + 2/11.
-2*(v - 1)*(v + 1)**2/11
Let k(w) be the second derivative of 0 - 4/27*w**3 + 1/3*w**2 - 7*w + 1/54*w**4. Let k(y) = 0. What is y?
1, 3
Factor -1/5*p**3 - 7/5 + 13/5*p - p**2.
-(p - 1)**2*(p + 7)/5
Let c = 180 + -175. Let y(x) be the second derivative of -1/6*x**2 + 0 - 1/6*x**3 - 3*x - 1/12*x**4 - 1/60*x**c. Suppose y(q) = 0. What is q?
-1
Let a be -3 + -1 - ((-19)/5 - 1). Suppose 1/5*h**3 + 0 - a*h**2 + 3/5*h = 0. Calculate h.
0, 1, 3
Let b(n) be the second derivative of n**5/30 + n**4/9 + 7*n. Find d such that b(d) = 0.
-2, 0
Factor 2/11*p**4 + 0 + 6/11*p + 2/11*p**3 - 10/11*p**2.
2*p*(p - 1)**2*(p + 3)/11
Let p(q) be the third derivative of -3*q**2 + 0 + 0*q + 1/30*q**5 - 1/4*q**4 + 2/3*q**3. Solve p(b) = 0 for b.
1, 2
Let f = -12 + 17. Let x be ((-2)/20)/(f/(-60)). What is n in -4/5*n**3 - 2/5 + 6/5*n**4 - 2/5*n**5 - 4/5*n**2 + x*n = 0?
-1, 1
Let q(d) be the first derivative of -4 + 2*d + 1/4*d**4 - 1/2*d**3 - d**2 + 1/10*d**5. Factor q(x).
(x - 1)**2*(x + 2)**2/2
Let c(p) be the second derivative of -1/10*p**5 + 0*p**3 + 0 + 0*p**2 + 5*p + 1/6*p**4. Factor c(j).
-2*j**2*(j - 1)
Let m(p) = p**2 + 18*p - 36. Let h be m(-20). Let v(u) be the first derivative of 1/9*u**2 + 2 - 2/45*u**5 + 0*u - 2/9*u**3 + 1/6*u**h. Factor v(f).
-2*f*(f - 1)**3/9
Suppose -3*v + 8 = -2*z, z - 6 = -3*v - 1. Let h(i) be the first derivative of -1/3*i**6 - 2*i + i**4 - v + 4/3*i**3 - i**2 - 2/5*i**5. Factor h(g).
-2*(g - 1)**2*(g + 1)**3
Factor 0 - 5*g - 1/2*g**2.
-g*(g + 10)/2
Let m = -37 + 40. Let g be m/(-6)*(-72)/16. What is d in -g*d**2 - 5*d - 1 = 0?
-2, -2/9
Let b(k) = k**2 - 10*k + 18. Let c be b(8). Factor -1/3*j**c + 1/3*j + 0.
-j*(j - 1)/3
Let k(n) be the first derivative of -1/12*n**4 + 3 - 2/3*n + 2/9*n**3 + 1/6*n**2. Factor k(h).
-(h - 2)*(h - 1)*(h + 1)/3
Let t = 8 + -6. Suppose -4*q = -4*u - 24, 5*u + 28 = 4*q - 0*q. What is z in 1 + 2*z**q - 3*z**t + 0 = 0?
-1, 1
Let v(r) be the second derivative of r**4/36 - 2*r**3/9 + 2*r**2/3 - 3*r. Factor v(l).
(l - 2)**2/3
Suppose -7/2*i**4 + 0*i - 2*i**2 + 0 + 8*i**3 = 0. Calculate i.
0, 2/7, 2
Factor -5/2*v - 1/2*v**4 + 1/2*v**3 + 3/2*v**2 + 1.
-(v - 1)**3*(v + 2)/2
Let u(r) be the second derivative of 11*r**5/4 - 5*r**4/6 + 7*r. Let u(m) = 0. Calculate m.
0, 2/11
Let f = 13 + -18. Let l be (f - -6) + 3/1. Find t such that 0*t**2 + 0 + 16/3*t**l + 4*t**3 - 2/3*t + 2*t**5 = 0.
-1, 0, 1/3
Let f(a) be the third derivative of -a**6/240 + a**5/60 - a**4/48 - 3*a**2. What is y in f(y) = 0?
0, 1
Let f(a) = -a**2 - 1. Let o(i) be the first derivative of -1/2*i**2 + 5/3*i**3 - 1 + 2*i. Let w(j) = -4*f(j) - o(j). Factor w(l).
-(l - 2)*(l + 1)
Suppose -3 = -t - 1. Find s such that -2*s - 3*s**2 - 2*s**3 - 2*s**t + 4*s**3 - 3*s**2 + 8*s**4 = 0.
-1, -1/4, 0, 1
Let l(s) be the first derivative of -1/3*s**2 + 2/9*s**3 + 0*s - 4. Let l(o) = 0. What is o?
0, 1
Let r(n) be the third derivative of n**6/600 + n**5/100 - 3*n**4/40 + 7*n**3/6 - 5*n**2. Let l(h) be the first derivative of r(h). Determine i so that l(i) = 0.
-3, 1
Let v(a) = a**2 - 8*a + 18. Let o be v(4). Factor 0*j - 2/11 + 2/11*j**o.
2*(j - 1)*(j + 1)/11
Let f(n) be the second derivative of 2*n**6/5 + 7*n**5/5 - 19*n**4/3 + 10*n**3/3 + 8*n**2 - 12*n - 1. Factor f(p).
4*(p - 1)**2*(p + 4)*(3*p + 1)
Let h(s) = 7*s**3 - 15*s**2 + 19*s - 1. Let l(n) = -4*n**3 + 8*n**2 - 10*n. Let b(j) = -3*h(j) - 5*l(j). Let b(f) = 0. What is f?
1, 3
Let v(n) be the third derivative of 3*n**2 - 1/21*n**3 + 0 - 1/42*n**4 - 1/210*n**5 + 0*n. Factor v(c).
-2*(c + 1)**2/7
Let k(u) be the first derivative of -5/14*u**4 - 9 + 2/35*u**5 + 6/7*u**3 - u**2 + 4/7*u. Suppose k(a) = 0. What is a?
1, 2
Solve -18/5*r**2 - 2/5*r + 0 = 0 for r.
-1/9, 0
Let k(p) = p**3 + 4*p**2 + 5*p + 8. Let j be k(-3). Let g(x) be the second derivative of x + 5/24*x**3 - 1/12*x**4 + 0 + 1/80*x**5 - 1/4*x**j. Factor g(w).
(w - 2)*(w - 1)**2/4
Let w(x) be the second derivative of x**7/336 - x**6/80 + x**4/24 + 15*x. Factor w(b).
b**2*(b - 2)**2*(b + 1)/8
Suppose 2*i + 10 = -5*l - 3*i, 0 = -l + 3*i + 18. Suppose 0 = -s + l*s - 4. Factor 0 - 4/9*j**s + 2/9*j**3 + 2/9*j.
2*j*(j - 1)**2/9
Let q(z) be the third derivative of -2*z**7/105 - z**6/15 + z**5/5 + 2*z**4/3 - 8*z**3/3 - 13*z**2. Factor q(j).
-4*(j - 1)**2*(j + 2)**2
Let c(z) be the first derivative of -2/15*z**3 + 1 + 0*z + 0*z**2. Factor c(l).
-2*l**2/5
Let c = -9 + 12. Let y(s) be the first derivative of 1/2*s**2 + 2 + 0*s - 1/6*s**c. Factor y(g).
-g*(g - 2)/2
Let z(i) be the second derivative of i**7/84 - i**6/30 + i**4/12 - i**3/12 - 8*i. Factor z(h).
h*(h - 1)**3*(h + 1)/2
Let n(l) be the second derivative of -7*l**4/96 - 23*l**3/48 - 3*l**2/8 + 40*l. What is x in n(x) = 0?
-3, -2/7
What is m in 0*m + 1/3*m**4 + 0*m**3 + 0 - 1/3*m**2 = 0?
-1, 0, 1
Factor -30/7*g**2 - 4/21 + 82/21*g**3 - 26/21*g**4 + 38/21*g.
-2*(g - 1)**3*(13*g - 2)/21
Let g(h) = -2*h - 95. Let d be g(-49). Factor -4*i**2 + 0 + 13/3*i**d + 1/3*i**5 - 2*i**4 + 4/3*i.
i*(i - 2)**2*(i - 1)**2/3
Let k be (1 - 2 - 2) + 5. Let q be (-9)/(-24) + 5/40. Determine h so that q*h**k + 1/2*h - 1 = 0.
-2, 1
Suppose 15/4*j - 15/4*j**3 + 3/2*j**4 - 3/2 + 0*j**2 = 0. What is j?
-1, 1/2, 1, 2
Factor 7*m**2 - 207*m - 6*m**4 + 40*m**3 - 24*m**2 - 15*m**4 + 205*m.
-m*(m - 1)**2*(21*m + 2)
Let z(y) be the first derivative of -y**5/20 - y**4/16 + y**3/6 + 6. Factor z(q).
-q**2*(q - 1)*(q + 2)/4
Let a(j) = 5*j**4 - 53*j**3 + 242*j**2 - 194*j - 2. Let c(d) = 16*d**4 - 160*d**3 + 727*d**2 - 583*d - 7. Let x(q) = -7*a(q) + 2*c(q). Factor x(m).
-3*m*(m - 8)**2*(m - 1)
Let h(i) be the second derivative of -1/6*i**2 + 0 + 2*i + 1/9*i**3 - 1/36*i**4. Factor h(v).
-(v - 1)**2/3
Let z(s) be the second derivative of -s**7/2940 + s**6/1260 - s**3 + 6*s. Let p(h) be the second derivative of z(h). Factor p(x).
-2*x**2*(x - 1)/7
Let x(s) be the second derivative of s**5/70 + s**4/6 - 56*s. Factor x(p).
2*p**2*(p + 7)/7
Let t(a) be the third derivative of a**8/3360 + a**7/1260 + a**4/12 + 5*a**2. Let s(y) be the second derivative of t(y). Solve s(w) = 0.
-1, 0
Let p be (-21)/54 + 3/(-18). Let f = p + 29/36. Suppose -3/4*u**3 + 3/4*u - 1/4*u**2 + f = 0. What is u?
-1, -1/3, 1
Find w such that 0*w + 1/3*w**2 - 1/3 = 0.
-1, 1
Let k(n) be the second derivative of n**6/75 - n**5/10 + 7*n**4/30 - n**3/5 - 20*n. Solve k(b) = 0 for b.
0, 1, 3
Factor -4/3*i**4 + 0 - 28/3*i**2 - 4*i - 20/3*i**3.
-4*i*(i + 1)**2*(i + 3)/3
Let m = 1405/4 + -351. Find y, given that -1/4 + m*y + 1/4*y**2 - 1/4*y**3 = 0.
-1, 1
Let j(i) be the third derivative of i**7/630 + i**6/360 - i**5/20 - i**4/8 - 3*i**2 - i. Factor j(h).
h*(h - 3)*(h + 1)*(h + 3)/3
Let y(i) be the third derivative of i**5/450 + i**4/45 + 4*i**3/45 - 14*i**2. Determine q, given that y(q) = 0.
-2
Let h(v) be the third derivative of v**7/1260 + 7*v**6/1800 + v**5/150 + 5*v**4/24 + 3*v**2. Let b(f) be the second derivative of h(f). Factor b(w).
2*(w + 1)*(5*w + 2)/5
Let l(p) be the first derivative of 5*p**3/9 + 5*p**2/2 + 10*p/3 + 13. Suppose l(n) = 0. Calculate n.
-2, -1
Let 0*u**3 + 0*u + 0 + 0*u**2 - 3*u**4 - 15/2*u**5 = 0. Calculate u.
-2/5, 0
Let c be 24/(-42) + 107/(-21). Let t = c + 6. Suppose -1/3*z**4 - 1/3 + 1/3*z**5 - 2/3*z**3 + 2/3*z**2 + t*z = 0. What is z?
-1, 1
Let q(j) be the third derivative of -1/60*j**4 - 1/300*j**5 + 0*j + 0 - j**2 + 0*j**3. Factor q(b).
-b*(b + 2)/5
Let t = -16 - 56. Let b be (-2)/7 - t/105. Determine w so that -2/5*w**4 + 4/5*w**2 - b - 2/5*w**5 - 2/5*w + 4/5*w**3 = 0.
-1, 1
Let z(a) be the third derivative of -a**5/140 - a**4/28 + 3*a**3/14 - 54*a**2. Solve z(o) = 0.
-3, 1
Solve 0 - 6*q**2 + q**3 + 0 + 9*q**2 + 2*q = 0 for q.
-2, -1, 0
Let f = 1723638 - 201668228/117. Let w = 200/9 + f. Factor 2/13*h + 0 + 6/13*h**3 - w*h**4 - 6/13*h**2.
-2*h*(h - 1)**3/13
Factor 6*h**2 + 583 - 585 - 4*h**2.
2*(h - 1)*(h + 1)
Let h be (15/(-10))/(3/(-6)). Determine u so that -8/5*u**4 + 14/5*u**h - 4/5*u**2 + 0 - 2/5*u = 0.
-1/4, 0, 1
Let z = -8 - -18. Let k be 12/(-20)*z/(-4). Factor -k*c**2 + 3/2*c**4 + 3/2*c + 0 - 3/2*c**3.
3*c*(c - 1)**2*(c + 1) | {
"pile_set_name": "DM Mathematics"
} |
hat is the hundreds digit of d?
3
Suppose 5*a - 1 = 4. Let g(p) = -1. Let l(w) = -3*w + 4. Let x(n) = a*l(n) - 4*g(n). What is the tens digit of x(-6)?
2
Suppose 7*z - 11*z + 292 = 0. Let h(s) = -z*s + 73*s + 3*s**2. What is the units digit of h(2)?
2
Let w(a) = a**3 - 9*a**2 + 48*a - 37. What is the tens digit of w(11)?
3
Let b(i) = 10*i**2 + 10*i + 31. What is the tens digit of b(-7)?
5
Let n = -68 - -126. Suppose w = 2*w - n. What is the units digit of w?
8
Let g(s) = -47*s - 9 + 1 - 2. Let b be g(-7). Suppose -129 = -2*n - x, x = -5*n + 2*x + b. What is the units digit of n?
4
Suppose 446 + 398 = 2*v. Suppose -5*l + 344 = -l - 4*b, 5*l - b - v = 0. Suppose -21 = -5*m + l. What is the units digit of m?
1
Suppose 106*x = 109*x - 9. Suppose 111 + 366 = 3*n + 3*f, 5*n + x*f - 797 = 0. What is the units digit of n?
0
Let q = -1794 + 5074. What is the hundreds digit of q?
2
Let i(a) = -3*a**3 - 4*a**2 - 3. Let x be (-56)/(-10) + 16/40. Suppose -y = w + x + 1, 5*w = -20. What is the units digit of i(y)?
2
Let t(k) = k**2 - 2*k - 39. Let q be t(-5). What is the hundreds digit of 190 - (-1)/(-5 - q)?
1
Let x(m) = m**2 + 10*m. Let j(t) = t. Suppose 0*k = -3*k + 6. Let z(a) = k*j(a) - x(a). What is the units digit of z(-6)?
2
Let s(g) = -28*g - 20. Let v(b) be the first derivative of -b**2/2 - b - 7. Let p(m) = s(m) - 20*v(m). What is the units digit of p(-3)?
4
Suppose 128 = 4*g + 1132. Let t = -393 - g. Let q = -84 - t. What is the tens digit of q?
5
Suppose 0 = 3*z - z - 2. Let j be (z/(-3))/((-3)/(-18)). What is the tens digit of 16*(-1 - (j - 0))?
1
Suppose 6*h = 10*h + 24. Let u(t) = 3*t**2 - t - 17. What is the units digit of u(h)?
7
Let u be 1/2 - 15/2. Let d(p) be the third derivative of -p**5/60 - 3*p**4/8 - p**3/3 + 29*p**2 + 2*p. What is the units digit of d(u)?
2
Let g(k) = 1940*k**2 - 48*k - 50. What is the units digit of g(-1)?
8
Suppose -u + 0*u = u. Suppose i - 2*i + 1 = u. What is the units digit of i?
1
Let p be 15/6*(-44)/(-5). Let c = p - -13. Suppose l = -3 + c. What is the tens digit of l?
3
Let c = 0 - -4. Let f = 98 + 27. Suppose -c*y - 37 = -f. What is the tens digit of y?
2
Suppose -7 = -4*n - 3*s, n + 2*s = -2*n + 6. Suppose 4*f + 0*y - 102 = 2*y, 2*f - 54 = n*y. What is the tens digit of f?
2
Suppose 0 = v + 3*v - 20. Suppose -2*d = b - 97, v*d = -5*b + 629 - 159. What is the units digit of b?
1
Let a = -7 + 15. Suppose 0 = -6*q + a*q. Suppose -2*r + 14 = -q*r. What is the units digit of r?
7
Let b be ((-6)/9)/((-6)/(-27)). Let o be 2/b*(-27)/(-9). What is the tens digit of (o/(-3))/(2/69)?
2
Suppose -2*k + 2 = 5*m, 3*m - 2*m - 5 = -5*k. Suppose 134 + k = r. What is the hundreds digit of r?
1
Let r(q) = 2*q + 12. Let u be r(-5). Suppose u*t - 30 = -4. What is the tens digit of t?
1
Let y = 20 - 38. Let v = -27 + 52. Let g = v + y. What is the units digit of g?
7
What is the hundreds digit of 2*(-2776)/(0 + -4)?
3
What is the units digit of 165/6*1040/50?
2
Let r(x) = x**2 + 2*x - 2. Let o be r(-3). Let a be (8/(-2))/(o - 2). What is the units digit of 5/20 + 23/a?
6
Let z = 58 - 103. What is the tens digit of z/(-20)*(192/(-9))/(-2)?
2
Let u be 4/2 + (2 - (5 - 4)). Suppose 5*f - 308 = -4*j, 0*f = u*f - 12. What is the units digit of j?
2
Let h be (-4)/20 + 41/5. Let n = -1 + h. Suppose -n*p + p + 48 = 0. What is the units digit of p?
8
Let b = -6169 - -11096. What is the units digit of b?
7
Suppose 7*f - 5 = 12*f. Let w = -2 + -6. Let d = f - w. What is the units digit of d?
7
Suppose -1771 = -5*k - 31. What is the hundreds digit of k?
3
Let g(j) = 7*j**2 - j**2 - 3*j**2 - 5*j**2 - 7*j. Let x be g(-4). Let y(v) = -2*v**3 - 5*v**2 + v - 5. What is the tens digit of y(x)?
3
Suppose 3*y = 53*y - 11450. What is the tens digit of y?
2
Let l(i) = -i**2 + 7. Let u = -10 + 17. Let s be l(u). Let n = -23 - s. What is the tens digit of n?
1
Let a(r) = 780*r + 3. What is the units digit of a(1)?
3
Let d(s) = 932*s**2 - 17*s - 17. What is the units digit of d(-1)?
2
What is the units digit of 13/(7*1/112)?
8
Suppose 3*u + 2*u = -2*k + 23, u + 1 = k. Let l be (-6)/k*(-28)/(-21). What is the tens digit of (l - 88)*1/(-2)?
4
Let b(l) = -l + 19. Let c be b(-17). Suppose 0*p = -3*p + c. What is the units digit of p?
2
Let h = 1220 + -61. What is the tens digit of h?
5
Let h(w) = 2*w**3 + 11*w**2 - 4*w - 17. Let m be h(-8). What is the tens digit of m/(-5) - -1 - 2?
6
Let n = -51 - -101. Suppose 3*j + 0*j = -5*b + 71, -2*j = 4*b - n. What is the tens digit of j?
1
Suppose -2*p - 2100 = 2*p. Suppose -272*h + 20 = -268*h. What is the units digit of (h/3)/((-25)/p)?
5
Suppose 0 = -4*f + 19 - 3. Suppose -2*u + 257 = 3*x, f*x + 2*u + 124 - 470 = 0. What is the tens digit of x?
8
Let v(o) = 2*o - o**3 + 16*o**2 - 3*o - 4*o - 21*o**2. What is the units digit of v(-5)?
5
Let m(t) = -t**3 + 4*t**2 - 3*t - 7. Let q be m(7). What is the tens digit of (-3)/(-2 + q/(-95))?
1
Let i(y) = -7*y - 15. Let z be i(-7). Let a = 45 + z. What is the tens digit of a?
7
Let z = -3 + 11. Let j(m) = 2*m - 8. What is the units digit of j(z)?
8
Let g be (-1)/(2/(19 - 3)). Let k be 652/18 - g/(-36). Suppose k - 5 = b. What is the tens digit of b?
3
Let p(z) = -94*z - 15. What is the tens digit of p(-4)?
6
Suppose a - 448 = -m, 5*a + 413 = 2*m - 469. What is the hundreds digit of m?
4
Let u be (45/6)/((-3)/(-20)). Let w be -2 + (3 + 0 - -3). Suppose -w*c - c + u = 0. What is the tens digit of c?
1
Suppose 0 = -6*y + 410 + 8776. What is the hundreds digit of y?
5
Let o be (-1 + 1)/(1 + 1). Suppose o = -5*l - 4*d - d, -4*l - d = -15. Suppose w = l*u - 84, -11 = -u + 3*w + 3. What is the tens digit of u?
1
Let i(j) be the second derivative of j**5/20 - 2*j**4/3 + 11*j**3/6 - 9*j**2/2 + 4*j. What is the tens digit of i(8)?
7
Let c(z) = 3*z**2 + z - 2. Let m be c(3). Suppose 0*a = -3*a - 45. Let x = m + a. What is the tens digit of x?
1
What is the tens digit of (46 - 10)*20/6?
2
Let k(j) be the third derivative of j**4/12 + 91*j**3/6 + 29*j**2. What is the tens digit of k(0)?
9
Let l(j) = -3*j + 1. Let k(u) be the third derivative of u**6/120 - u**5/60 - u**4/8 - u**3/6 - 3*u**2. Let m be k(-2). What is the tens digit of l(m)?
2
Let v be 3/(-6)*-4*(-11)/(-2). Suppose -1315 = -v*a + 6*a. What is the units digit of a?
3
Suppose -2*s + 107 = -5*q + 1648, -3*q + 933 = -4*s. What is the hundreds digit of q?
3
Suppose 28*h - 118955 = -9*h. What is the tens digit of h?
1
Let w(u) = u**2 - 13. Let f be w(4). Suppose 0 = f*y + 2*y - 15. What is the units digit of 1 - 1 - y - -26?
3
Let k(i) = -27*i + 0 + 3 + 30*i. What is the tens digit of k(10)?
3
Suppose -3*x = -4*w - 0*w, 20 = 5*x. Suppose w + 99 = 3*g. Let k = 12 + g. What is the tens digit of k?
4
Let l(a) = -a + 10. Let h(d) = d**2 - 11*d + 8. Let s be h(11). Let z be l(s). Suppose -z*c + 3 = c. What is the units digit of c?
1
Let r(g) = g**3 - 20*g**2 - 52*g - 11. What is the units digit of r(23)?
0
Let n be 41/4 - 1/4. What is the units digit of 70/(-2*(-5)/n)?
0
Suppose 0 = 3*p - 6 - 9. Suppose 0 = d - 0*z - 3*z + p, 0 = 4*z. What is the units digit of 2 - 4 - d - -22?
5
Suppose -2*m - 2*g = -14, -2*m + g - 14 = -4*g. Suppose u = 2*f + 147, -f + 220 + 256 = m*u. What is the tens digit of u?
5
Let q = 155 + -87. Suppose -2*g - q = -3*g. What is the units digit of g?
8
Let q be (4 + -7 + 6)*1. Suppose u = q*u. Suppose u*v = -4*v + 208. What is the units digit of v?
2
Suppose -3*u + 184 = 6*a - a, 3*u - 9 = 0. Suppose -168 = -o - a. What is the hundreds digit of o?
1
Let f(q) = 21*q**3 - 2*q**2 - 3*q + 2. Let k be f(2). Suppose -2*l - l = -k. What is the tens digit of l?
5
Suppose -5*x + 5 = -5. Suppose 2*b = 3*s + 17, -x*b + 6 = -2*s - 2. Let o = -3 - s. What is the units digit of o?
6
Let s(g) = -10*g - 5. What is the tens digit of s(-9)?
8
Suppose 0 = 2*a + 3*j - 21 + 60, 0 = a - 2*j + 30. Let l = a - -75. What is the units digit of l?
1
What is the units digit of (78/(-195))/(1*(-1)/5380)?
2
Suppose -5*i + y = -210, -3*y - 210 = 3*i - 8*i. What is the units digit of i?
2
Let p be (48/(-28))/((-2)/21). Let s be p - (-2 - (2 - 0)). What is the tens digit of ((-2)/4)/(s/(-2068))?
4
What is the tens digit of (58/6)/(0 + 8/168)?
0
What is the units digit of (8852/2)/(104/52)?
3
Let x be (-4)/2 - (-201 + -2). Suppose 7*y - | {
"pile_set_name": "DM Mathematics"
} |
1*i**2 + 13*i - 66. Let c(o) be the first derivative of x(o). Differentiate c(w) wrt w.
2*w + 3
Let o = -46 + 49. Suppose 8*k + 5*a - 10 = o*k, 6 = 3*k - 5*a. What is the third derivative of -9*z**k + 0*z + 0*z + 3*z**3 - 22*z**2 wrt z?
18
Let w = -306 - -328. Differentiate w + 53*i**4 + 11*i**4 - i**3 - 19 - 66 wrt i.
256*i**3 - 3*i**2
Let d(m) = 173*m**2 - 83*m + 7. Let s = 208 + -201. Let f(y) = 87*y**2 - 41*y + 3. Let i(l) = s*f(l) - 3*d(l). Find the second derivative of i(j) wrt j.
180
Suppose 0 = 4*p - 9*p + 15. Find the first derivative of -36*i**3 - 31 - 28*i**3 + 99*i**3 - 34*i**p - 5*i**2 wrt i.
3*i**2 - 10*i
What is the third derivative of -2298*z**2 - 9349*z**3 + 21592*z**3 + 6 - 1 - 5 wrt z?
73458
Let d(r) be the third derivative of -r**8/168 - 41*r**6/15 - 1969*r**5/60 + 665*r**2 + 2. What is the third derivative of d(a) wrt a?
-120*a**2 - 1968
Let k be ((-21)/(-14))/((-15)/(-50)). What is the second derivative of y**k + 1152*y**4 - 10*y**3 - 1152*y**4 + 89*y - 3*y**5 wrt y?
-40*y**3 - 60*y
Let v(y) = 29*y**3 - 88*y**2 - 97*y - 37226. Let f(z) = 5*z**3 - 15*z**2 - 17*z - 6204. Let x(m) = 23*f(m) - 4*v(m). Find the first derivative of x(j) wrt j.
-3*j**2 + 14*j - 3
Let o(p) be the third derivative of p**6/60 - 43*p**5/60 - 442*p**3/3 + p**2 + 10. What is the derivative of o(h) wrt h?
6*h**2 - 86*h
Suppose -22*i + 19*i + 732 = 5*a, 4*i + 2*a = 962. What is the second derivative of -1 + i*m + 2 - 87*m - 4 - 34*m**5 - 117*m wrt m?
-680*m**3
Let a(k) be the second derivative of -k**7/21 - k**5/5 + 479*k**4/12 - k**2 + 123*k. What is the third derivative of a(h) wrt h?
-120*h**2 - 24
Let m = 49 - 21. What is the second derivative of -m*h - 5*h**2 + 0*h**2 - 4*h**2 + 4*h**3 + 2*h**2 wrt h?
24*h - 14
Suppose -147*r + 12*r = 0. Let v(y) be the first derivative of -19*y + 48/5*y**5 + 0*y**4 + 0*y**2 + r*y**3 + 15. Find the first derivative of v(n) wrt n.
192*n**3
Let r(o) be the first derivative of 357*o**2 - 1617*o + 1270. What is the first derivative of r(q) wrt q?
714
Let l(g) be the second derivative of 19*g**8/4 + g**6/30 - 5057*g**4/12 + 6866*g. Find the third derivative of l(r) wrt r.
31920*r**3 + 24*r
Let u(l) = -12*l**2 - l**2 - 36*l + l**3 + 27*l - 38. Let c be u(14). What is the third derivative of c*z**2 - 12*z**2 - 9*z**2 - 13*z**2 + 21*z**5 wrt z?
1260*z**2
Let y = 86 - 73. Let u be (-5)/(((-325)/30)/y). Find the third derivative of 19*g**2 + u*g**2 + 44*g**3 - 6*g**3 + g**2 wrt g.
228
Suppose -y + a = 42, 4*y + 4*a - 32 + 184 = 0. Let g = y + 42. What is the second derivative of 160 + 27*s**g - 9*s - 160 wrt s?
54
Suppose 0 = -6*b + 8 + 4. What is the third derivative of 82*i**3 + 7*i**b - 18*i**2 - 42*i**2 wrt i?
492
Let k(p) = p + 6. Let u be k(-4). Let f(c) = -c**2 - 15*c - 6. Let b be f(-13). Differentiate -19*s**2 + 0*s**u + b + s**2 wrt s.
-36*s
Let l(r) = -140*r**2 - 40*r**3 + 2 + 19*r**2 + 115*r**3 + 0. Let t(h) = -2*h**3 + 1. Let f(z) = l(z) - 2*t(z). What is the third derivative of f(v) wrt v?
474
Let w(i) be the first derivative of 0*i**5 + 0*i**3 + 91/2*i**6 + 0*i**4 + 9/2*i**2 + 12 + 0*i. Find the second derivative of w(g) wrt g.
5460*g**3
Differentiate 25*p + 15*p - 293*p**2 - 40*p - 355 with respect to p.
-586*p
Let x(m) = 2*m - 1. Let v = 71 - 76. Let n(d) = 27*d + 7. Let o(h) = h + 1. Let j(s) = v*o(s) + n(s). Let t(z) = -j(z) + 3*x(z). Differentiate t(w) wrt w.
-16
What is the derivative of -480*x**2 + 367*x**4 - 3493 - 125*x**4 - 122*x**4 - 123*x**4 + 69*x**2 wrt x?
-12*x**3 - 822*x
Suppose -2*b - 4*l + 85 = 3*b, -36 = -b + 3*l. Suppose -5*s + 54 = 2*h - 3, h = 2*s - b. What is the derivative of -5 + 4 - 12*d**4 + s wrt d?
-48*d**3
What is the third derivative of 4562*v**6 - 3991*v**2 + 1462*v - 1269*v**6 - 1463*v + 2074*v**6 + 355*v**2 wrt v?
644040*v**3
Let b(q) = 36*q**2 - 12*q. Let j(t) = 72*t**2 - 25*t - 1. Suppose -43*a + 11*a = 320. Let w(p) = a*b(p) + 4*j(p). What is the second derivative of w(f) wrt f?
-144
Let z = 102 - 100. Let p = -70 + 115. Find the third derivative of 0*r**4 + 31*r**5 + 21*r**z - p*r**2 + 0*r**4 wrt r.
1860*r**2
Let s(a) be the first derivative of 0*a**3 + 5*a + 34 + 11/2*a**2 + 189/4*a**4. What is the second derivative of s(w) wrt w?
1134*w
What is the second derivative of 41138*z**2 - 41042*z**2 + 1234*z + 1559*z - 3484*z - 16*z**5 - 2*z**3 - 4122*z wrt z?
-320*z**3 - 12*z + 192
Let m(x) be the second derivative of -61*x**6/30 - x**4/3 + 257*x**2 + 6*x + 12. Differentiate m(r) with respect to r.
-244*r**3 - 8*r
Let w(r) be the first derivative of -296*r**6/3 + 941*r**3/3 - 914. Find the third derivative of w(c) wrt c.
-35520*c**2
Let a(y) be the third derivative of -27*y**2 + 0*y - 14/15*y**5 + 2 - 1/6*y**3 - 97/120*y**6 + 0*y**4. What is the third derivative of a(j) wrt j?
-582
Suppose -773 = -6*z + 2323. What is the third derivative of -62*a**2 - z*a**6 - 479*a**6 + 856*a**6 - 50*a**2 wrt a?
-16680*a**3
Find the third derivative of -2 + 23*s**4 - 3*s**6 - 38401*s**2 + 38606*s**2 + 19*s**4 wrt s.
-360*s**3 + 1008*s
What is the derivative of 331 + 568 + 1182*k + 48*k - 160*k - k**2 + 1112 wrt k?
-2*k + 1070
Find the second derivative of 9276*t + 2*t**3 - 669 + 166*t**5 - 4635*t - 4638*t wrt t.
3320*t**3 + 12*t
Find the third derivative of -177*l**2 - 580*l**5 + 123*l**2 - 1465*l**5 + 9*l + 2*l wrt l.
-122700*l**2
Find the first derivative of -4882 + 16226*q - 16226*q + 3184*q**2 wrt q.
6368*q
What is the third derivative of 34*h + 180*h**4 + 20*h**4 + 4*h**3 + 61*h + 2717*h**2 - 2704*h**2 wrt h?
4800*h + 24
Let u(q) be the third derivative of 31*q**7/14 + 39*q**5/20 + q**4/3 - 713*q**2 - 2. What is the third derivative of u(t) wrt t?
11160*t
Let g be (-41 - -47)*(-4)/(-6). What is the first derivative of -2*w + 36 - 2*w + w + g*w - 114*w**2 - 125 wrt w?
-228*w + 1
Suppose 7*f + 14 = 14*f. What is the derivative of -51*m**2 - 38*m**f + 71 - 178*m + 178*m wrt m?
-178*m
Let q(y) = y**2 - 26*y + 83. Let z be q(35). Find the first derivative of -391*i**4 + 2*i - z*i**4 + 786*i**4 - 51 wrt i.
-12*i**3 + 2
Let y(g) be the first derivative of g**7/7 - 36*g**5/5 - 21*g**4/4 - g**3 + 307*g**2 + 16. What is the third derivative of y(u) wrt u?
120*u**3 - 864*u - 126
Let i(b) be the first derivative of -1/2*b**2 + 23*b - 74 + 0*b**3 + 207/4*b**4. What is the second derivative of i(d) wrt d?
1242*d
Let z(p) = 209*p**3 + 9*p**2 + 15*p - 49. Let q(t) = t**3 - 2*t**2 + 2. Let d(c) = -3*q(c) - z(c). Find the second derivative of d(k) wrt k.
-1272*k - 6
Let r(n) = 8*n - 20. Let k be r(-4). Let w = 56 + k. What is the second derivative of 38*p - 34*p + 13*p**4 + 21*p**w wrt p?
408*p**2
Let w be (-2)/3 + ((-465)/(-9) - 0). Find the third derivative of 51*z**4 - 30*z**2 - w*z**4 + 95*z**4 wrt z.
2280*z
Let n(f) be the first derivative of -41*f**6/15 + 66*f**2 + 77*f + 89. Let j(z) be the first derivative of n(z). What is the derivative of j(d) wrt d?
-328*d**3
Let t(n) = -36*n**2 + 16*n. Let j(w) = 3. Let f(b) = 4. Let k(o) = -2*f(o) + 3*j(o). Let x(v) = -2*k(v) - t(v). Find the second derivative of x(a) wrt a.
72
Let c(x) be the first derivative of -2/3*x**3 + 0*x**4 + 0*x + 25 + 0*x**5 + 61/6*x**6 - 11*x**2. Find the third derivative of c(u) wrt u.
3660*u**2
What is the third derivative of 0*r**3 - 6944*r - 5888*r**2 + 226*r**6 - 2 + 0*r**3 + 6944*r wrt r?
27120*r**3
Suppose -13*k + 39 + 26 = 0. Find the third derivative of -254*c**2 + c + 4*c - 67*c**3 - k*c + 366*c**2 wrt c.
-402
Let f(p) = -2*p**3 - 8*p**2 + p + 7. Let q be f(-4). What is the second derivative of 48*l**5 + 5 + 14*l + q - 15 + 3 wrt l?
960*l**3
Let w = 989 - 705. What is the third derivative of 28*a**4 - a**3 + 5*a + 260*a**2 - w*a**2 - 5*a wrt a?
672*a - 6
Suppose -547*f + 3263 = -78*f - 20. Let x(w) be the third derivative of -f*w**3 + 0*w + 41/24*w**4 - 3*w**2 + 0. What is the derivative of x(n) wrt n?
41
Suppose -2*c = -17*c + 420. Suppose -8*p + 4*p + c = 0. Differentiate -p - 7 - 12 - 9 - v**3 + 19*v**4 with respect to v.
76*v**3 - 3*v**2
Let l = 15 - -56. Let b = l + -42. Find the third derivative of 16*u**4 - 6*u**4 + 29 - b + 5*u**2 wrt u.
240*u
What is the third derivative of 1273*l**3 + 3347*l**2 + 12 - 3371*l**2 + 3 wrt l?
7638
Let g(y) be the first derivative of 0*y**4 - 27/5*y**5 + 104 + 0*y**2 - 146/3*y** | {
"pile_set_name": "DM Mathematics"
} |
Is 7 + (65762/6 - (-25)/(-75)) composite?
True
Is (1656/(-48))/23 - (-22)/4 a prime number?
False
Let g(w) = w**3 + 6*w**2 - w - 10. Let b be g(-13). Let c be (b/(-10))/((-2)/(-8)). Suppose 4*h - c = 396. Is h composite?
True
Suppose -4*l + l = -2925. Let c = -586 + l. Is c a prime number?
True
Suppose 0 = -3*c - 2*y + 38941, -y - 7609 - 5368 = -c. Is c prime?
True
Suppose -3*l - 22 = -3*g + 53, -3*l - 80 = -2*g. Let y = l - -81. Is y a composite number?
True
Let v(a) = -a**2 - 2*a + 6. Let q be v(-3). Suppose 13 = q*j + 2*g, j - g + 4 + 0 = 0. Is (-4243)/(-6) + j/(-6) composite?
True
Let h(n) = -n**3 + n**2 + 2*n + 6022. Is h(0) prime?
False
Let m(t) = t**2 - 11*t + 14. Let j be m(8). Is (j + 1)*-1*(-1 + 2) prime?
False
Let x(y) = 7*y**2 - 13*y - 19. Is x(20) prime?
True
Let j = 328 + -172. Let y be ((-5)/30*0)/(-3). Suppose 2*m - 1 = -3, -q + m + j = y. Is q prime?
False
Let r be 12/42 + 10854/(-14). Let o = r + 1362. Is o composite?
False
Suppose 0 = 5*c + 3*u - 56503, -2*u - 77 = -69. Is c composite?
True
Is (-21)/(-35) - 5/(75/(-12576)) composite?
False
Let k(q) = 3*q - 6. Let b be k(3). Suppose -3*l + 5*s = -2016, b*s + 6 = 15. Is l a composite number?
False
Suppose 3*z = 5*j - z - 15, -9 = -3*j + 3*z. Suppose 0*b - 3*h + 1324 = b, 3930 = j*b - 5*h. Is b a prime number?
False
Let v(w) = 23123*w + 3. Is v(2) a prime number?
False
Let l(x) = 171*x - 28. Is l(2) a prime number?
False
Let t(l) = 2*l**2 - 22*l - 15. Let g be t(12). Is (-3*1 + 10521/g)/2 a prime number?
False
Let z = -8 - -8. Suppose -4*l = -0*l - 5220. Suppose -5*n + 190 + l = z. Is n prime?
False
Let m = 1050 + -4320. Let x = -2189 - m. Is x composite?
True
Let j(x) = 9*x**3 + x**2 + 1. Suppose -2*v - 3*a + 7 = 0, -v - a - 2 = -5*a. Suppose 5*t - v*s = 2 + 6, 0 = t - 4*s + 2. Is j(t) composite?
True
Suppose d + 2*d - 18036 = 2*q, -d + 4*q = -6012. Let n = d + -3833. Is n prime?
True
Let f(m) = -m - 16 - 2*m + m. Let i be f(-11). Suppose -22 = -7*k + i*k. Is k composite?
True
Suppose -72*s + 63652 = -70*s. Is s a prime number?
False
Let w = 185 - -752. Is w a prime number?
True
Let s be (-49)/14*(-4)/7. Suppose -6522 = s*t - 8*t. Is t composite?
False
Let r = -16 - -10. Let b be 93/18 + 1/r. Suppose b*q = 18 + 17. Is q composite?
False
Let x = 906 - -103. Suppose x = -5*o + 11579. Is 2/(-5) - o/(-10) a prime number?
True
Let b = 12 + -6. Is ((-6)/(-4))/(b/3076) prime?
True
Let w(h) = 16*h - 6. Suppose 7 + 13 = 5*x. Is w(x) a composite number?
True
Let f(n) = 2*n**2 - 5*n + 2*n - 4 - 3*n**2 + 9*n**2. Suppose -2*h + 0*h + 10 = 0. Is f(h) a composite number?
False
Suppose -2*q + 3*r = -22, 0 = 2*q - 4*q + 4*r + 22. Suppose 1062 = -5*g + q*g. Is g a prime number?
False
Let d = 82 + 2497. Is d a prime number?
True
Suppose 0 = 5*q + j - 3849, -q + 5*j - 123 = -872. Suppose 5*r + 5*k - 1048 + 273 = 0, 0 = -5*r - 2*k + q. Suppose 0 = -4*b - 17 + r. Is b a composite number?
True
Let b(r) = 25*r + 90. Is b(11) prime?
False
Suppose 2*z = -2*c + 5629 - 1043, 5*z - c - 11453 = 0. Let f = z - 288. Is f prime?
True
Let t(a) = 2 + 3 + 6*a + 3 - a**2. Let x be t(9). Let d = x + 86. Is d composite?
False
Let x = -82 - -76. Is (-205)/((-3)/x*-2) a prime number?
False
Let f = -27 - -29. Suppose -f*v - 549 = -2143. Is v a composite number?
False
Let q be 1*(480/3 - -2). Suppose 0*a = 4*p - 3*a - 314, -2*p + q = a. Suppose -4*m - 5*i = -p - 155, -2*m - 5*i = -125. Is m a composite number?
True
Suppose -2*m - 2*m + 3*o + 10620 = 0, 2*m - 5*o = 5324. Let b = m - 739. Is b a composite number?
False
Let q(c) = -9*c**3 + c**2 + 32*c + 113. Is q(-4) a composite number?
False
Let o = 3711 - 2000. Is o prime?
False
Let z(x) = 778*x**2 - 4*x + 3. Let s(h) = -259*h**2 + h - 1. Let m = -5 - 2. Let j(q) = m*s(q) - 2*z(q). Is j(-1) prime?
True
Let k(y) be the third derivative of 1/6*y**4 + 0 + 5/6*y**3 + 1/20*y**5 - 1/120*y**6 + 0*y - 3*y**2. Is k(-5) composite?
True
Suppose 5*w + 1666 = 5*z - 704, -2*w = -5*z + 2355. Let a = -299 + z. Suppose -a - 282 = -2*h. Is h a composite number?
True
Let c be ((-48)/21 - -2) + 190/(-70). Is (52262/c)/(-7) - 1/(-3) a composite number?
True
Suppose -26*m = -45*m + 183331. Is m prime?
True
Let v(m) = -3*m - 12 + 1 + m**2 + m**3 + 5 + 12*m. Is v(7) a composite number?
False
Suppose -1 - 9 = -2*d. Suppose 0 = 4*w, 0 = -3*i + 6*w - d*w + 789. Is i a composite number?
False
Is 3/(-4) + 1 + (-2817393)/(-204) prime?
False
Let i(n) = n**2 - 8*n + 5. Let w be i(7). Let g be ((-14)/4 - w)*-2. Suppose 5*j = -g*y + 502 + 274, -4*y = 4*j - 616. Is j a composite number?
False
Let u = 10982 - 1333. Is u a prime number?
True
Let u(r) = -18*r**2 + 11*r - 21. Let c(t) = -t**3 - t**2 + t. Let y(z) = c(z) - u(z). Is y(14) prime?
False
Suppose 2*p = 1 + 9. Suppose 774 = 3*j + n, -p*n + 928 = 5*j - 352. Suppose -j = -3*r - 4*r. Is r a composite number?
False
Let j(q) = q - 7*q - 2*q - 4*q**2 - 3. Let i be j(-11). Is (-2 + 1)*(i - -2) composite?
False
Suppose -39*m = -40*m + 22535. Is m a composite number?
True
Suppose -d + 2168 + 976 = 2*b, -9425 = -3*d + b. Let o = d + -323. Is o composite?
False
Suppose 23*i = 21*i + 6. Suppose -3*v - 5*r = -4207, -v - i*r + 311 = -1094. Is v a composite number?
False
Let o(b) = 25*b**2 - 24*b + 29. Is o(15) a prime number?
False
Suppose -40*j = -37*j - 6159. Is j prime?
True
Suppose 0 = -s - s - 2*l + 3326, 6638 = 4*s - 3*l. Is s prime?
False
Let q(m) = 6*m + 4. Let f be q(12). Suppose -3*i = -2*r - 305, 0 = 5*i - 3*r - 188 - 320. Let p = i + f. Is p a prime number?
False
Suppose -2*l - 7 + 13 = 0. Is -6*(-4)/8*1949/l prime?
True
Let g = -621 - -404. Let k = 34 - g. Is k prime?
True
Let f(d) = 2370*d**2 - 104*d - 316. Is f(-3) prime?
False
Suppose 4*q + 12 = 10*q. Is 14216/40 - q/5 composite?
True
Let y = 2 + 1. Suppose 2755 = 11*l - 1205. Suppose y*f = l + 87. Is f a composite number?
False
Let i be (-7 - -16)/((-9)/(-582)). Suppose 3*s - i = s. Is s a composite number?
True
Let n(y) = 150*y + 91. Is n(13) composite?
True
Suppose -5151 = -14*l + 22135. Is l composite?
False
Suppose -41*x + 9141 = -30*x. Is x prime?
False
Let r(k) = -k + 21*k**2 + 225 - 252 + 2*k. Is r(-11) prime?
True
Suppose 7*r + 18581 = 3*w + 12*r, 4*r = 5*w - 30993. Is w prime?
True
Let k = 1365 + -496. Is k a prime number?
False
Is ((-840)/180)/(4/(-1266)) composite?
True
Suppose 4*p = 2*a - 38, 0*a = -2*a - p + 33. Let g = a - 13. Suppose l - g*b - 94 = b, l - 93 = 4*b. Is l a prime number?
True
Let w(a) = 4*a + 16. Let u(j) = 3*j - 1. Let h be u(-2). Let x be w(h). Is x/6 + (47 - -1) a composite number?
True
Let z(u) = 9*u**2 + u - 6. Suppose 0 = 3*a + 3, -2*a + 1 = -3*b - 9. Is z(b) prime?
False
Let y be 6/4*(-3 - -1). Is 3/((-5280)/(-1756) + y) + -2 a composite number?
True
Suppose 14*x = 5*f + 10*x - 1482, 3*f - 898 = -2*x. Is f prime?
False
Let v(x) = 36*x**2 + 18*x + 31. Is v(9) a prime number?
True
Suppose j = -5*c - 0*c - 17, 10 = -2*j - 4*c. Is (j/(-5))/((-3)/2055) a composite number?
True
Let y = 518 + -27. Suppose -5*v = -3946 + y. Is v composite?
False
Let u(d) = -d. Let b be u(0). Suppose -4*z - 3*n + 248 = 0, -2*z + 126 = n - b*n. Is z a prime number?
False
Let s = 11 + -12. Let q = -11 - -13. Is (q + -159 + -2)*s prime?
False
Let p(c) be the second derivative of -35/3*c**3 + 0 - 7/2*c**2 - 2*c. Is p(-6) a prime number?
False
Let y be -5 + 4 - 3*-3. Suppose -i = -5*i + y. Suppose i*z - 153 = 293. Is z a composite number?
False
Let c be 1*-3 - (-7 + 1). Let v(h) = -42*h**c + 5 + 3 + 5*h - 29*h**3 - 3. Is v(-2) a composite number?
False
Let b(g) = g**3 + 20*g**2 + 24*g - 25. Let z(n) = -2*n**3 - 41*n**2 - 47*n + 50. Let y(j) = -7*b(j) - 4*z(j). Let o = -84 + 66. Is y(o) composite?
False
Let t = -11 - -2. Let n be (-558)/t + -1 + 0. Let l = 18 + n. Is l prime?
True
Suppose 6*y - 19 - 5 = 0. Is 2555 + (0 - 2) + y + 0 a composite number?
False
Suppose 2*y - y - 3*o = 1660, -4*o = -4*y + 6632. Is y a composite number?
False
Suppose 0 = -27*z + 8*z + 740107. Is z composite?
False
Let m(n) be the first derivative of 4*n**3 - 9 + 5/2*n**2 + 12*n. Is m(5) prime?
True
Suppose 41 = 4*x + u, 3*x - 3*u - 37 = -x. Let f(p) = p**2 + 9*p + 21. Is f(x) a composite number?
False
Is (-19)/38 + (-1)/4*-2062 a composite number?
True
Let g = -24 + 28. Suppose 928 = 3*t + 5*o, -g*t + 3*o + | {
"pile_set_name": "DM Mathematics"
} |
i + 22. Let z be r(-10). Let d(n) = 2*n**3 - 3*n**2 + 17*n - 34. Let j be d(z). Solve 5*u + j = -1 for u.
-1
Let u = 15519 - 15510. Solve 0 = 5*g - 14*g - u for g.
-1
Let t(g) = -68*g + 68. Let k be t(1). Solve k = 40*a - 3*a + 148 for a.
-4
Suppose t + 65 = -5*n, -n + 0*n = -5*t - 247. Let l be ((-44)/(-10))/((-5)/t). Let u = l + -29. Solve u = -6*s + s for s.
-3
Let q(d) = -220*d - 758. Let r be q(-7). Solve 0 = -5*y - r + 762 for y.
-4
Let h(b) = -b**3 - 7*b**2 + 4*b - 20. Let z be (-1)/(8/(67 - 3)). Let x be h(z). Solve 21*i - 15*i + x = 0 for i.
-2
Let n(j) = 4*j**2 + 456*j + 64. Let v be n(-114). Solve -60 = 2*c - v for c.
2
Suppose -2*y = y - 3. Let d be (3 + 14 + y)/((-4)/(-6)). Let f = d - 23. Solve 0*s = -f*s - 16 for s.
-4
Let p = 204 + -204. Let l = 124 - 124. Solve l = -p*c - 3*c + 9 for c.
3
Let p = -4630 - -4660. Solve -31 - 149 = p*l for l.
-6
Let w(s) = 11*s - 352. Let b be w(32). Solve 170*g - 165*g - 20 = b for g.
4
Suppose 0*l + 1000 = 4*l. Suppose 0 = y - 3*t - 139, 3*y - t = 5*y - l. Let k = 127 - y. Solve k = s + 2 + 3 for s.
-5
Let k(z) = z**2 + 20*z + 21. Let x be (2 - 3 - -2)/((-1)/19). Let y be k(x). Solve y = -q + 5 for q.
3
Let z = 6231 - 6200. Solve -6 = z*g - 29*g for g.
-3
Let u(v) be the third derivative of -v**6/120 + 11*v**5/60 - 5*v**4/8 - 10*v**3/3 + v**2 - 52*v. Let o be u(9). Solve o = 6*f + 1 for f.
1
Let x(y) = -y**3 + 3*y**2 + 418*y + 14. Let p be x(22). Solve 25*s = 23*s - p for s.
-7
Suppose 28*p = 26*p + 5*f + 176, -4*f = -2*p + 176. Solve 0 = 14*w - 18 + p for w.
-5
Let l(f) = 2 - 2 + 11*f - f**2 + 8. Let u be l(12). Let x be 15/(-10) - 18/u. Solve c - 12 = -x*c for c.
3
Let j(z) = -532*z - 3581. Let q be j(-7). Solve -141 + q = -d for d.
-2
Suppose 684*n - 155611 = 623*n. Solve p + n = 2557 for p.
6
Let k(z) = 546*z + 12052. Let y be k(-22). Solve -64*b + y = -69*b for b.
-8
Let y(b) = -b**3 + 13*b**2 - 2*b + 22. Let p be y(13). Let o be 2 + (-2 - -2)*(-2)/p. Suppose -a = o*k - 6, 5*a - 4 + 14 = 0. Solve x + 0*x = k for x.
4
Suppose 9*w + 90 = 9. Let x be (2 - w/18)/((-1)/(-4)). Solve 13 - x = o for o.
3
Let x(l) = -l**3 + 3*l**2 + 5*l - 4. Let g be 43/387 + 17/9. Let o be x(g). Solve -o + 2 = 2*y for y.
-4
Suppose 2*x = -x - 255. Let w = -58 - x. Let c be (28/21)/(12/w). Solve -1 - c = r for r.
-4
Let k(o) = -o**2 + 5*o - 2. Let b be k(4). Let l be 21/(-63) - 1087/(-3). Let y = -362 + l. Solve -b*m - 10 = -y for m.
-5
Let d = 55984 - 55972. Let f(c) = c - c - 1 - c. Let t be f(-1). Solve t = -0*b + 3*b + d for b.
-4
Let t = -10019 + 10041. Solve t*g - 16*g = 42 for g.
7
Let m(d) = d**3 - 73*d**2 - 156*d + 462. Let a be m(75). Solve 9*p = a*p + 6 for p.
-2
Let h(c) = -c**3 - 7*c**2 - 16*c - 23. Let t be h(-6). Let q be (-35 + t)/(0 - -1). Solve -q*a - 3*a - 20 = 0 for a.
-4
Let f(s) = -2*s**3 + 5*s + 12. Let d be f(-4). Suppose 10*b + 3*m - d = 7*b, 2*b + m = 76. Solve b = 3*c + 45 for c.
-3
Let k(l) = -6*l**2 - 186*l - 173. Let g be k(-30). Let y(h) = -h**3 + 2*h**2 + 2*h - 2. Let d be y(2). Solve 0 = -9*p - g - d for p.
-1
Suppose 4*y = 3 + 5. Suppose 63 = -y*o + 2*g + 3*g, -4*o + 3*g = 105. Let r(u) = -2*u**2 - 49*u - 24. Let b be r(o). Solve l + b*l = 0 for l.
0
Let h = -27899 - -29582. Solve -1655 = -7*u - h for u.
-4
Suppose -32*w + 37*w + 4*c = 1, 4*w = -5*c - 10. Solve -w*a - 15 = -30 for a.
3
Let f be 0 + 0 + -3 - (3 - 5). Let h be (0 + f)/(2/(-6)). Solve -b - h*b - 4 = 0 for b.
-1
Let z(g) = g**3 + 16*g**2 - 8*g + 153. Let m be z(-17). Suppose 2*c = 2*y - 46, c + 90 = 4*y - c. Let v = y + -18. Solve -3*i + v*i = m for i.
0
Suppose 175*a + 440 = 215*a. Solve 8*n + a*n - 171 = 0 for n.
9
Suppose 0*b + b = 0. Suppose 60*r - 141 - 39 = 0. Solve b = -f + r - 7 for f.
-4
Suppose -33*o + 1411 = 1180. Solve n = -3*n - o*n for n.
0
Suppose 5*t - 4*v + 2*v = -6, 3*v = -3*t + 9. Suppose t = -6*z + 3*z + 21. Solve 5*h - 2 = z*h for h.
-1
Suppose 22*m = 5*g + 19*m - 13, 0 = 4*g - 3*m - 11. Suppose 2*s = -0*s - 2*s. Solve 0 = -g*q - s*q for q.
0
Let y(t) be the third derivative of t**4/24 + 8*t**3/3 + 14*t**2. Let w be y(-13). Suppose w*c - 3*x = 9, 0 = -3*c - 4*x + 4 + 26. Solve c*p - 3*p = 0 for p.
0
Let m = 163251 - 163244. Suppose 0 = 2*c - 28 - 0. Solve -42 = m*z - c for z.
-4
Let r = -511 - -511. Solve r = -5*i + 8 - 18 for i.
-2
Let b be 3/(-4) - 24/(-32). Let q(u) = -4*u - u**3 - 2 - 95*u**2 + 195*u**2 - 95*u**2. Let y be q(2). Solve y*p - p = b for p.
0
Let n be (-23)/(-2) - (17 - (-825)/(-50)). Solve -9*g = 17*g - n*g for g.
0
Let j be (1/((-15)/(-54)) - 0)*16345/934. Solve j*s + 0 = -63 for s.
-1
Let v(y) = -2*y**3 + 12*y**2 + 27*y - 142. Let d be v(-4). Solve -x + d = 9*x for x.
7
Let j be ((-35)/252*-12)/((-2)/(-6)). Solve j*m = -4*m for m.
0
Suppose -15 = 6*m + 27. Let k be m/((-28)/64)*-1. Let n be 0 - ((-6)/1 + (-13 - k)). Solve 2*g = n*g for g.
0
Let w be 4740/330 + 4/(-11). Suppose 9*g + 80 = w*g. Solve -4*i + g = 20 for i.
-1
Let m(d) = 0*d - 5 + d + 4*d**2 - 1 + 4*d. Let h be m(1). Solve -3*n - h*n = 24 for n.
-4
Let t be 6104/1090 - 2/(-5). Solve 21 - 3 = t*x for x.
3
Suppose 36*j + 3456 = 252*j. Solve 5*x - j*x = -19*x for x.
0
Suppose 3*r + 2*u - 5 = 0, 4*u + 16 + 1 = 3*r. Suppose -4*n - 2*o = -0*o - 10, 0 = 2*n - r*o + 15. Suppose n = -3*w - 2*w + 10. Solve w*z - 2 = -0*z for z.
1
Suppose 0 = -4*f + 3*o + 143, 4*f = 9*f - 4*o - 179. Solve 10 = -f*u + 30*u for u.
-2
Let i = -15761 + 15765. Solve 0 = i*o + 2 + 26 for o.
-7
Suppose -11*p + 30*p - 64 = -13*p. Solve p*r + 6530 - 6546 = 0 for r.
8
Suppose -55 = -0*u - 11*u. Suppose w + 3*a - 1 = 2*w, 0 = -u*w + a + 23. Suppose 0 = -z + 3*z + w*v - 60, z - 35 = -5*v. Solve 0 = 5*s + z - 10 for s.
-3
Let d = -167 + 167. Suppose 5*r - 62 + 22 = d. Solve 0*m = -2*m - r for m.
-4
Let i(b) = -b**3 + 21*b**2 + 195*b + 28. Let h be i(28). Solve h = -21*v + v + 20 for v.
1
Suppose 6*n + 0 = -6. Let i be (-2)/(n + -2 + 36/18). Solve h - 12 = -i*h for h.
4
Suppose 5*k - 1729*l - 184 = -1730*l, -52 = -2*k + 5*l. Solve 0 = -15*g - k*g + 102 for g.
2
Let w(q) = -q**3 + 45*q**2 - 8*q + 113. Let k be w(45). Let c = k - -253. Solve 4*v - c*v = 10 for v.
-5
Let c(f) = 57*f + 773. Let m be c(-10). Solve -m = -40*h + 37 for h.
6
Suppose -5*j - 10 = 0, 0*j = a - 4*j + 323. Let f = a - -338. Solve -21 = f*u + 14 for u.
-5
Let q(j) = j**3 + 14*j**2 + 8*j + 132. Let x be q(-14). Let c be 512/20 - 12/x. Solve -4*l + 9*l = c for l.
5
Suppose 3181 = 20*x - 15*x + 3*a, -1264 = -2*x + 3*a. Solve -2*b = 627 - x for b.
4
Let v(t) = -2*t + 30. Let o be v(15). Let a be -1*(o/(-5) - -1). Let u be ((-9)/(-18))/(a/(-4)). Solve -u*s = 1 + 3 for s.
-2
Let u be (-6)/(-9)*(-3 - -6). Suppose 5*f = u*p - 4*p, -5*p - 3*f = 0. Solve -3*j - 35 + 26 = p for j.
-3
Let k(i) = 6*i**2 - 8*i + 1. Let w = 280 + -278. Let s be k(w). Solve 0 = 2*o + s - 3 for o.
-3
Suppose 9*y = -4*y + 4264. Let r = y + -202. Let o = r + -106. Solve -5*z + o = -z for z.
5
Let b(d) = d**2 + 7*d + 12. Let z be b(-5). Let n be -39 + 35 + (z - -2). Solve n = 7*x + 9 + 19 for x.
-4
Let o = -43 - -23. Let j be (-4 - -2)/((-32)/o - 2). Suppose -3*b + j = 4*z - 4, -4*z = 0. Solve -5*h = -b*h for h.
0
Let j be 203/70 - (20/(-210) - 1/210). Let f = 12 - 20. Let d be -2*(-2)/f*-4. Solve d*u - j*u = 3 for u.
-3
Suppose 180*y - 35 = 179*y + x, 3*x - 39 = -y. Solve d - y + 40 = 0 for d.
-4
Suppose -5*w - 130 = 5*m, -2*m = 3*w + 14 + 60. Let l be (-17 - w)*1*4. Solve 0 = -4*s - 4 + l for s.
4
Suppose 6*a - 36 = 3*a - 5*g, g - 31 = -2*a. Solve 18*j = a*j - 2 for j.
-2
Let s(b) = b**2 + 11*b + 11. Let d be s(-10). Let c(u) = -2*u**3 + 77*u**2 - 312*u + 204. Let f be c(34). Solve w - d + f = 0 for w.
1
Let x = 192 + -189. Let y be (x/(-2))/(13/(-52)). Solve s + y = 7 for s.
1
Let d(c) = 3*c + 77. Let m be d(-18). Let w = m - 21. Solve w + 7 = 3*s for s.
3
Suppose -5*y - 2*u + 117 = -u, 0 = -5*y + 5*u + 135. Let i = 784903 - 784899. Solve -12*v + i*v - y = 0 for v.
-3
Let q = 244 + -204. Suppose 0 = -6*d + q - 16. Solve -3*f = f + d for f.
-1
Let j = -97 + -566. Let c = j - -663. Solve c = 2*g + 29 - 23 for g.
-3
Let w(h) = 1400*h**2 + 5*h - 1401*h**2 - 17*h - 11*h - 110. Let j be w(-10). Solve 7*b = 12*b - j for b.
4
Let y be (27/(-81))/(4/(-72) + 0). Solve 25*g - y*g - 38 = 0 for g.
2
Let g(o) = o**3 + o**2 - 13*o | {
"pile_set_name": "DM Mathematics"
} |
d to 4 dps?
-0.0405
Round -339633.6192 to the nearest 10.
-339630
What is 689001.768 rounded to the nearest 1000000?
1000000
What is -15971948.2 rounded to the nearest one million?
-16000000
What is -0.001188992691 rounded to 4 dps?
-0.0012
Round 198934.537 to the nearest one thousand.
199000
What is 346.52157 rounded to the nearest 10?
350
Round 5.76629301 to four decimal places.
5.7663
Round 583604976.3 to the nearest 1000000.
584000000
What is -0.1490860295 rounded to three dps?
-0.149
What is 0.36513905 rounded to three dps?
0.365
Round 205591.91 to the nearest 1000.
206000
What is 6501.3497 rounded to the nearest one hundred?
6500
Round -236.058778 to the nearest 100.
-200
Round -34.22404526 to 1 decimal place.
-34.2
Round -1.6864910247 to 2 dps.
-1.69
Round -285099059 to the nearest 1000000.
-285000000
What is -51775.46743 rounded to the nearest ten?
-51780
Round -0.0189775013 to five decimal places.
-0.01898
Round -207.2465223 to the nearest 10.
-210
Round -0.301267381 to four dps.
-0.3013
What is -111.9116735 rounded to the nearest 100?
-100
Round 0.00002733303721 to five dps.
0.00003
What is 0.005250103002 rounded to 7 dps?
0.0052501
Round 16010667.239 to the nearest one million.
16000000
Round -0.0000005696756767 to seven dps.
-0.0000006
Round 631796.8 to the nearest one thousand.
632000
Round 33604874500 to the nearest 1000000.
33605000000
Round 0.001039066316 to six dps.
0.001039
Round 13081946.04 to the nearest one hundred thousand.
13100000
What is -0.000000066270111 rounded to seven decimal places?
-0.0000001
What is -0.00716788445 rounded to 7 dps?
-0.0071679
What is 0.0002146176562 rounded to 4 dps?
0.0002
What is -0.00000077367349 rounded to 7 dps?
-0.0000008
What is 57401.748 rounded to the nearest one hundred?
57400
Round 0.2884247415 to 1 dp.
0.3
What is -14721.93375 rounded to the nearest integer?
-14722
Round -0.0022625532 to seven dps.
-0.0022626
What is 505953.5691 rounded to the nearest 1000?
506000
Round -0.003281945767 to four dps.
-0.0033
Round -17264.779 to the nearest integer.
-17265
What is -1255949.24 rounded to the nearest ten thousand?
-1260000
Round -3.2401919 to 1 dp.
-3.2
Round 0.0355387834 to 5 decimal places.
0.03554
What is 274800.9551 rounded to the nearest 10?
274800
What is 634957.362 rounded to the nearest one thousand?
635000
Round -238.31937 to 0 dps.
-238
What is -0.7452588868 rounded to two dps?
-0.75
Round 494102.768 to the nearest 100.
494100
Round 300140.2896 to the nearest 10.
300140
Round 800.158018 to the nearest 10.
800
What is 20.3414577 rounded to 3 dps?
20.341
What is 932482301 rounded to the nearest one hundred thousand?
932500000
Round -0.0392912964 to four dps.
-0.0393
Round 0.0630144279 to three decimal places.
0.063
What is -27724462970 rounded to the nearest 1000000?
-27724000000
Round 0.371995179 to three dps.
0.372
Round 615514.4471 to the nearest one hundred.
615500
What is 1357563581 rounded to the nearest 1000000?
1358000000
What is -7740.82799 rounded to 0 decimal places?
-7741
Round -323326940 to the nearest 1000000.
-323000000
Round -2685729.4 to the nearest 100000.
-2700000
What is -37948936 rounded to the nearest ten thousand?
-37950000
What is -1.23561999 rounded to four dps?
-1.2356
Round -0.1452083949 to five decimal places.
-0.14521
Round 0.049976531 to 5 dps.
0.04998
Round 0.003318649153 to five dps.
0.00332
What is -0.006522366387 rounded to 7 decimal places?
-0.0065224
Round 0.000024926187 to six decimal places.
0.000025
What is 0.000108433024 rounded to seven dps?
0.0001084
Round 147431.484 to the nearest 10000.
150000
What is -0.001697707024 rounded to six decimal places?
-0.001698
What is 10397.663013 rounded to one dp?
10397.7
Round 29596.9134 to 0 decimal places.
29597
Round 2.26004478 to 1 dp.
2.3
What is -12.3611732 rounded to three decimal places?
-12.361
Round 94306592 to the nearest one thousand.
94307000
What is 35251.8597 rounded to the nearest integer?
35252
What is -4.02351903 rounded to two decimal places?
-4.02
What is 121.8634752 rounded to 1 dp?
121.9
Round 0.005751709 to three decimal places.
0.006
What is -1002.977 rounded to the nearest 10?
-1000
Round 0.0151171467 to 4 decimal places.
0.0151
What is -70089.94 rounded to the nearest 10?
-70090
What is 937512467 rounded to the nearest 10000?
937510000
Round 20.68126141 to the nearest integer.
21
Round -0.0002156583 to 5 dps.
-0.00022
What is 37250.4301 rounded to the nearest integer?
37250
Round 975673.397 to the nearest one hundred.
975700
What is 1572100.87 rounded to the nearest one thousand?
1572000
Round 700.44245 to the nearest one hundred.
700
Round 1787.374 to the nearest 100.
1800
Round 71.99770484 to three dps.
71.998
Round -3138140.73 to the nearest one thousand.
-3138000
What is 0.00008433127436 rounded to 5 decimal places?
0.00008
What is 2.4723435 rounded to three decimal places?
2.472
Round 0.01724920942 to three decimal places.
0.017
What is -98602657.2 rounded to the nearest 10000?
-98600000
Round -0.00000203154084 to seven decimal places.
-0.000002
What is 67259.206 rounded to the nearest ten?
67260
Round -0.012395417362 to 4 dps.
-0.0124
What is -399.18556 rounded to the nearest one hundred?
-400
What is -4.92812574 rounded to 2 decimal places?
-4.93
What is -0.999846388 rounded to 3 dps?
-1
What is 8.463901883 rounded to two dps?
8.46
What is 0.0002418834513 rounded to 7 dps?
0.0002419
Round 11298294.6 to the nearest 1000000.
11000000
What is 0.820702201 rounded to 1 decimal place?
0.8
Round -21090923 to the nearest 10000.
-21090000
What is -99.9362437 rounded to 3 dps?
-99.936
Round 0.000395303256 to seven dps.
0.0003953
Round -8.0311824 to 2 decimal places.
-8.03
What is 7405.94867 rounded to 0 dps?
7406
Round -490176.84 to the nearest one hundred thousand.
-500000
Round -0.000016449989723 to 6 dps.
-0.000016
What is 0.011401095 rounded to three decimal places?
0.011
Round 14.39475632 to two decimal places.
14.39
Round 4068043.594 to the nearest one hundred thousand.
4100000
What is -0.0001170198868 rounded to 7 dps?
-0.000117
What is 0.0010223637 rounded to four dps?
0.001
What is -0.000000721943914 rounded to seven dps?
-0.0000007
Round 15394000.9 to the nearest ten thousand.
15390000
Round -0.08338309224 to three decimal places.
-0.083
Round -81449925 to the nearest 1000000.
-81000000
What is 16.25997989 rounded to 3 decimal places?
16.26
Round 17953865.67 to the nearest one million.
18000000
What is -0.02461817525 rounded to three decimal places?
-0.025
What is -0.7314439509 rounded to two dps?
-0.73
What is -0.0008189752447 rounded to 6 dps?
-0.000819
What is 529147.528 rounded to the nearest one hundred?
529100
What is -0.1752356056 rounded to 2 dps?
-0.18
Round 287.4252711 to 0 dps.
287
Round 2516636.22 to the nearest 100000.
2500000
What is 947.342924 rounded to two decimal places?
947.34
What is 0.00000934503416 rounded to 6 dps?
0.000009
Round -222376.89366 to the nearest 10.
-222380
What is -13230782.2 rounded to the nearest one hundred thousand?
-13200000
Round 1815604700 to the nearest 1000000.
1816000000
Round 157892.956 to the nearest 10.
157890
What is 174.371278 rounded to two decimal places?
174.37
What is 1.2522149 rounded to one decimal place?
1.3
Round 554116.977 to the nearest one hundred.
554100
What is 33524.5906 rounded to the nearest ten?
33520
What is -13445634 rounded to the nearest 1000000?
-13000000
What is 0.374729191 rounded to two dps?
0.37
Round -0.00538350574 to 3 decimal places.
-0.005
Round -2149.1357 to the nearest ten.
-2150
What is 0.0223569327 rounded to five decimal places?
0.02236
Round -0.000007555032 to 6 decimal places.
-0.000008
What is 0.0000005447386198 rounded to 7 dps?
0.0000005
Round -3990.718051 to one decimal place.
-3990.7
What is 66263.0454 rounded to the nearest 1000?
66000
Round 0.00102405529 to 5 decimal places.
0.00102
Round -3484073140 to the nearest 100000.
-3484100000
Round -4.04806365 to three dps.
-4.048
What is 137940.64 rounded to the nearest 10?
137940
What is 1.11361184 rounded to one decimal place?
1.1
What is 0.000239302416 rounded to 7 dps?
0.0002393
Round 0.01765161777 to five decimal places.
0.01765
Round 0.0051196725 to 3 decimal places.
0.005
Round 1359887.34 to the nearest 1000.
1360000
What | {
"pile_set_name": "DM Mathematics"
} |
in litres?
0.0310194
How many millilitres are there in three fifths of a litre?
600
How many grams are there in eighteen fifths of a kilogram?
3600
What is 1851.825 litres in millilitres?
1851825
Convert 46.93777 years to millennia.
0.04693777
How many months are there in 15/4 of a millennium?
45000
Convert 4.487762 nanometers to centimeters.
0.0000004487762
Convert 7720.972ms to nanoseconds.
7720972000
What is sixty-five thirds of a century in months?
26000
How many microseconds are there in 9.848334s?
9848334
Convert 8.735047 years to decades.
0.8735047
What is 7.730582 micrometers in centimeters?
0.0007730582
How many grams are there in one quarter of a kilogram?
250
What is 12/25 of a litre in millilitres?
480
Convert 4744.61 years to millennia.
4.74461
What is 5/8 of a litre in millilitres?
625
How many microseconds are there in 11.84759 minutes?
710855400
How many grams are there in 6/5 of a kilogram?
1200
How many seconds are there in three sixteenths of a hour?
675
What is 1/5 of a gram in milligrams?
200
How many grams are there in three tenths of a kilogram?
300
What is twenty-one halves of a litre in millilitres?
10500
How many millilitres are there in thirty-seven fifths of a litre?
7400
How many micrograms are there in twenty-seven halves of a milligram?
13500
How many milligrams are there in 17943.68t?
17943680000000
How many months are there in 5/8 of a millennium?
7500
What is three eighths of a microgram in nanograms?
375
Convert 564.0571mg to micrograms.
564057.1
How many nanograms are there in 54/5 of a microgram?
10800
What is fourty-five halves of a kilometer in meters?
22500
What is eighteen fifths of a litre in millilitres?
3600
What is one tenth of a kilometer in millimeters?
100000
How many kilograms are there in 53/4 of a tonne?
13250
What is six fifths of a tonne in kilograms?
1200
What is 136690.1 micrograms in milligrams?
136.6901
What is 70201.33 centimeters in millimeters?
702013.3
Convert 60.47101 micrograms to grams.
0.00006047101
Convert 0.1838725ml to litres.
0.0001838725
How many grams are there in twenty-one halves of a kilogram?
10500
How many years are there in 13/5 of a decade?
26
What is 49/5 of a millennium in centuries?
98
How many weeks are there in 117962.271 minutes?
11.70260625
What is 12/25 of a gram in milligrams?
480
What is 97037.69l in millilitres?
97037690
What is 3/25 of a kilometer in centimeters?
12000
How many seconds are there in 2/27 of a day?
6400
What is twenty-nine halves of a century in months?
17400
How many grams are there in 3/40 of a tonne?
75000
How many millilitres are there in 0.7704115l?
770.4115
How many decades are there in 569391.4 years?
56939.14
How many days are there in 1.624707 minutes?
0.00112826875
What is 8.106782mm in nanometers?
8106782
What is 32/5 of a litre in millilitres?
6400
Convert 64.13591 kilograms to grams.
64135.91
What is 0.9166535 meters in nanometers?
916653500
What is 3/32 of a kilometer in centimeters?
9375
Convert 0.3958263ml to litres.
0.0003958263
How many minutes are there in 51/2 of a hour?
1530
How many months are there in 83/3 of a year?
332
How many tonnes are there in 23905.28ng?
0.00000000002390528
What is 15/4 of a century in years?
375
What is 43/2 of a litre in millilitres?
21500
What is eleven sevenths of a week in minutes?
15840
Convert 12.27938 millilitres to litres.
0.01227938
What is three eighths of a micrometer in nanometers?
375
What is 5/4 of a gram in milligrams?
1250
What is 23/3 of a day in minutes?
11040
What is 292.259ml in litres?
0.292259
Convert 70.66967 millennia to centuries.
706.6967
Convert 16077.21l to millilitres.
16077210
What is 0.4513886g in kilograms?
0.0004513886
How many decades are there in 31935.09 years?
3193.509
Convert 120.63177 months to years.
10.0526475
What is 2485.851 centuries in months?
2983021.2
What is 3/32 of a kilometer in centimeters?
9375
What is 3/8 of a kilometer in centimeters?
37500
What is 1/4 of a millimeter in micrometers?
250
What is eleven eighths of a centimeter in micrometers?
13750
How many tonnes are there in 0.8161584g?
0.0000008161584
Convert 420190.7 weeks to nanoseconds.
254131335360000000000
How many months are there in two fifteenths of a century?
160
What is eleven tenths of a milligram in micrograms?
1100
How many centimeters are there in 25/4 of a meter?
625
What is 20299.2 years in months?
243590.4
Convert 3382.666mg to tonnes.
0.000003382666
Convert 69.95164ms to microseconds.
69951.64
How many seconds are there in five sixths of a hour?
3000
How many millennia are there in 81244.76 centuries?
8124.476
What is seven halves of a meter in millimeters?
3500
How many months are there in 7/8 of a decade?
105
How many kilograms are there in seventeen quarters of a tonne?
4250
What is 3898.305 milligrams in kilograms?
0.003898305
How many minutes are there in 5/14 of a week?
3600
Convert 874.111mm to centimeters.
87.4111
What is 0.300504 kilometers in micrometers?
300504000
How many months are there in 9846.747 decades?
1181609.64
Convert 4196.941ml to litres.
4.196941
Convert 9887.89 millilitres to litres.
9.88789
How many millilitres are there in 6.453408 litres?
6453.408
Convert 39170.85 grams to milligrams.
39170850
What is 743197.8ng in grams?
0.0007431978
What is 61/2 of a litre in millilitres?
30500
How many micrometers are there in twenty-one halves of a millimeter?
10500
What is 793686.7 litres in millilitres?
793686700
How many micrometers are there in one fifth of a centimeter?
2000
Convert 18.124818 months to decades.
0.15104015
What is 59.74609 millennia in months?
716953.08
How many nanoseconds are there in 236921.2 weeks?
143289941760000000000
How many millilitres are there in one fifth of a litre?
200
How many centuries are there in twenty-seven fifths of a millennium?
54
Convert 822.7221 tonnes to nanograms.
822722100000000000
What is one quarter of a decade in months?
30
Convert 40637.61um to centimeters.
4.063761
What is 9.31274ml in litres?
0.00931274
What is 73/5 of a decade in months?
1752
Convert 167.826 years to centuries.
1.67826
What is 203.7104ns in milliseconds?
0.0002037104
What is 1/5 of a litre in millilitres?
200
How many litres are there in 57.563ml?
0.057563
What is one twentieth of a millennium in months?
600
How many nanograms are there in one tenth of a milligram?
100000
How many months are there in 1/5 of a decade?
24
What is 28.36607ml in litres?
0.02836607
Convert 322578.8 millennia to centuries.
3225788
What is 67.7152 kilograms in nanograms?
67715200000000
How many kilometers are there in 795.8244 micrometers?
0.0000007958244
What is eleven eighths of a centimeter in micrometers?
13750
What is 74899.97 decades in millennia?
748.9997
Convert 81.08341 centuries to months.
97300.092
What is 3/10 of a millennium in months?
3600
How many years are there in 21.973902 months?
1.8311585
How many nanograms are there in 11/2 of a microgram?
5500
How many years are there in 3/8 of a millennium?
375
What is 73437.46m in millimeters?
73437460
What is three tenths of a litre in millilitres?
300
How many years are there in five quarters of a millennium?
1250
How many kilograms are there in seventeen halves of a tonne?
8500
Convert 0.3410705 millennia to centuries.
3.410705
How many grams are there in 272.062ug?
0.000272062
What is eight fifteenths of a millennium in months?
6400
What is 3/50 of a litre in millilitres?
60
How many years are there in fifty-four fifths of a century?
1080
How many years are there in seven halves of a century?
350
Convert 29.49567 millilitres to litres.
0.02949567
What is 55/2 of a millennium in decades?
2750
How many years are there in thirty-three fifths of a millennium?
6600
How many hours are there in eighty-three thirds of a day?
664
How many grams are there in 450.0989 nanograms?
0.0000004500989
What is 2/45 of a day in minutes?
64
What is 21/4 of a centimeter in micrometers?
52500
Convert 0.4316815 microseconds to seconds.
0.0000004316815
What is 77.33962l in millilitres?
77339.62
What is fifty-four fifths of a meter in centimeters?
1080
Convert 38.1979 centimeters to micrometers.
381979
How many nanometers are there in 928.5159 centimeters?
9285159000
What is 7/8 of a gram in milligrams?
875
What is se | {
"pile_set_name": "DM Mathematics"
} |
et h(m) = -m**3 + 5*m**2 + 7*m - 4. Let r be h(6). Factor r*y + d*y**2 + 4/3.
2*(y + 1)*(y + 2)/3
Factor 24/11*c + 6/11*c**3 + 0 - 24/11*c**2.
6*c*(c - 2)**2/11
Suppose 4*n + 2 = -18. Let t(x) = -x**2 - 5*x + 1. Let i be t(n). Factor j - i + 3 + 2*j**2 + 3*j.
2*(j + 1)**2
Suppose -2 = 3*a - a + p, 4*a + 8 = -4*p. Let y be a/(3*3/9). Find r, given that y + 2*r**3 + 4/3*r - 14/3*r**2 - 10/3*r**5 + 14/3*r**4 = 0.
-1, 0, 2/5, 1
Let b(g) = 2*g - 1. Let p be b(5). Suppose 0 = -i - 3*x - 2, -4*x - 3 = -i + p. Factor -3*u**2 + u - u + i*u**2 + 2*u.
u*(u + 2)
Let p(t) be the first derivative of -4*t**5 + 3*t**4 + 16*t**3 + 8*t**2 + 6. Factor p(u).
-4*u*(u - 2)*(u + 1)*(5*u + 2)
Let x be (-1 + -1)/(112/(-21)). Let p = x + 23/24. Factor p*n**4 + 2*n**3 + 1/3*n + 1/3*n**5 + 4/3*n**2 + 0.
n*(n + 1)**4/3
Let s = 40 + -36. Factor 0*p + 0*p**2 - 1/3*p**3 + 4/3*p**5 + 0 + p**s.
p**3*(p + 1)*(4*p - 1)/3
Let q = 37 - 109/3. Factor q*b**4 + 8/3 - 2*b**2 - 4/3*b**3 + 8/3*b.
2*(b - 2)**2*(b + 1)**2/3
Let q be (-16)/9 - (-2 - 0). Let w be (-16)/(-7) - 10/35. Factor -q*l**w - 2/9 + 4/9*l.
-2*(l - 1)**2/9
Let j(s) be the first derivative of 8*s**3/3 - 3*s**2/2 - 8. Solve j(y) = 0 for y.
0, 3/8
Suppose 14 + 9*d**3 + 2*d**4 - 6*d - 16*d**2 + 3*d**3 - 6*d = 0. Calculate d.
-7, -1, 1
Let j(k) be the first derivative of k**4/5 + 56*k**3/5 + 1176*k**2/5 + 10976*k/5 - 60. Find m, given that j(m) = 0.
-14
Factor 2*t**3 + 8*t**2 + 7*t + t**4 + 2 - t**5 - 2*t**4 - t**4.
-(t - 2)*(t + 1)**4
Let y be (30/(-40))/(2 - (-339)/(-120)). Find q, given that -4/11*q**3 - 8/11*q - 2/11 - y*q**2 = 0.
-1, -1/2
Let p(s) be the first derivative of -4*s**3 - 3*s**2/2 + 26. Factor p(m).
-3*m*(4*m + 1)
Let u be 886/(-232) - 44/(-11). Let y = 2/29 + u. Factor -y*c**5 - 3/2*c**3 - c**2 + 0 - 1/4*c - c**4.
-c*(c + 1)**4/4
Let j = -11 + 14. Let p(t) be the first derivative of 10/3*t**j - 1 + t**2 - 4*t - 1/2*t**4 - 6/5*t**5. Find d such that p(d) = 0.
-1, 2/3, 1
Let m(k) be the second derivative of k**4/3 + 2*k**3 + 20*k. Factor m(b).
4*b*(b + 3)
Factor -9*h**4 - 244*h + 123*h + 121*h + 3*h**5 + 9*h**3 - 3*h**2.
3*h**2*(h - 1)**3
Let k = 43/62 + -6/31. Factor -1/2*f**4 - 1/2 + f**3 + f**2 - k*f - 1/2*f**5.
-(f - 1)**2*(f + 1)**3/2
Let m = 26/15 - 14/15. Factor -6/5*s + m - 2*s**2.
-2*(s + 1)*(5*s - 2)/5
Let s(z) be the third derivative of z**7/105 - z**6/30 + z**5/30 - 4*z**2. Factor s(g).
2*g**2*(g - 1)**2
Suppose -35 - 2 = -3*v - j, 5*j = 5. Let c = v - 1. Factor -2 - 3 + 15*o + 32*o**2 - 1 - c*o**2.
3*(o + 1)*(7*o - 2)
What is i in -3*i + 12*i**3 + 2*i**2 + 7*i**2 + 7*i**2 + 7*i = 0?
-1, -1/3, 0
Let p(a) be the second derivative of -9*a**7/70 - 11*a**6/40 - a**5/10 - 2*a**2 + 2*a. Let q(d) be the first derivative of p(d). Factor q(t).
-3*t**2*(t + 1)*(9*t + 2)
Let j(d) be the third derivative of -d**5/20 - 5*d**4/24 + d**3/3 + d**2 - 17*d. Factor j(i).
-(i + 2)*(3*i - 1)
Suppose -20*w**3 + 26*w**2 + 4*w**2 - 56*w**3 + 15*w**4 - 5*w**3 = 0. Calculate w.
0, 2/5, 5
Factor 9*g - 5*g**2 - 2*g + 10 + 0*g - 2*g.
-5*(g - 2)*(g + 1)
Let h be ((-3 - -1) + 0)*(-1)/6. Determine s so that 0 - s**3 + 1/3*s**4 - h*s + s**2 = 0.
0, 1
Let u(w) be the second derivative of -w + 0*w**2 + 3/4*w**4 + 0 + 3/4*w**5 - w**3. Factor u(z).
3*z*(z + 1)*(5*z - 2)
Let n be 2/12*15/10. Let g(s) be the second derivative of -s - 1/6*s**3 - n*s**2 + 1/8*s**4 - 1/15*s**6 + 1/10*s**5 + 0. Factor g(a).
-(a - 1)**2*(2*a + 1)**2/2
Solve -44 + o - 6*o**2 + 47 - 4*o = 0 for o.
-1, 1/2
Let j(f) be the first derivative of 1/4*f**4 + 0*f**3 - f**2 + 3 + 0*f + 1/20*f**5. Let m(b) be the second derivative of j(b). Factor m(k).
3*k*(k + 2)
Let k = 66 + -62. Let i(t) be the second derivative of -1/24*t**k + 0*t**3 + 0*t**2 + 1/40*t**5 + 0 - t. Let i(s) = 0. What is s?
0, 1
Let n(c) be the first derivative of -c**6/39 + 34*c**5/65 - 53*c**4/13 + 580*c**3/39 - 25*c**2 + 250*c/13 - 4. Let n(a) = 0. Calculate a.
1, 5
Let c(n) = 3*n**2 - 2. Let u be c(2). What is o in -5*o**2 - 4*o + u*o**5 - 2*o**2 - o**2 - 6*o**3 - 6*o**2 + 14*o**4 = 0?
-1, -2/5, 0, 1
Let x = -7 + 5. Let y be ((-8)/(-20))/(x/(-10)). Solve -11 + 11 - 4*b - b**y - 4 = 0 for b.
-2
Let t = -54 - -59. Suppose 0 + 4/7*n**4 - 4/7*n**2 - 2/7*n**t + 0*n**3 + 2/7*n = 0. Calculate n.
-1, 0, 1
Let i(j) be the first derivative of -j**4/4 + j**3/6 + j**2/4 + 7. Let i(u) = 0. Calculate u.
-1/2, 0, 1
Suppose 5*w - 10 = -4*o, 3*w - o - 2 = 2*w. Factor 0 + 1/2*s + 1/4*s**3 + 3/4*s**w.
s*(s + 1)*(s + 2)/4
Let f(p) be the third derivative of p**8/2856 - p**7/595 - p**6/510 + p**5/85 + p**4/204 - p**3/17 - 9*p**2. Find w such that f(w) = 0.
-1, 1, 3
Suppose 3*z + 22 = 5*z + 4*o, -19 = -z + 2*o. Solve z*j - 21*j**4 - 7 - 1 - 15*j**3 + 27*j**2 + 2 = 0.
-1, 2/7, 1
Find n such that 0*n**3 - 1/3 - 1/3*n**4 + 0*n + 2/3*n**2 = 0.
-1, 1
Let y = 5 + 14. Suppose -114*r**2 + 24 + y*r**3 + 14*r**3 - 72*r + 84*r + 45*r**4 = 0. Calculate r.
-2, -2/5, 2/3, 1
Let x(c) be the third derivative of -c**5/30 + c**4/6 - 5*c**2. Factor x(l).
-2*l*(l - 2)
Let m(s) be the second derivative of s**4/30 - s**3/5 + 2*s**2/5 + 10*s. Suppose m(o) = 0. Calculate o.
1, 2
Let v(g) be the first derivative of -g**5/20 + g**3/12 - 17. Find n, given that v(n) = 0.
-1, 0, 1
Let q(y) be the second derivative of y**6/30 + y**5/5 + y**4/3 + 7*y**2/2 + 8*y. Let i(n) be the first derivative of q(n). Find s such that i(s) = 0.
-2, -1, 0
Let h(t) be the first derivative of 2*t**3/3 + 42*t**2 + 882*t - 57. Suppose h(p) = 0. Calculate p.
-21
Let q(z) be the third derivative of z**6/24 - z**5/3 + 25*z**4/24 - 5*z**3/3 - 12*z**2. Factor q(l).
5*(l - 2)*(l - 1)**2
Let o(f) be the second derivative of -f**5/160 - f**4/32 + f**2/4 + 12*f. Factor o(d).
-(d - 1)*(d + 2)**2/8
Let i be (70/(-24))/(3/(-4)). Let g = i + -11/3. Factor 0*k**2 + 2/3*k**5 + 0 - 4/9*k**3 - g*k**4 + 0*k.
2*k**3*(k - 1)*(3*k + 2)/9
Let t = 992/9 - 110. Factor t - 2/3*d**4 + 4/9*d**2 + 2/9*d**5 - 2/3*d + 4/9*d**3.
2*(d - 1)**4*(d + 1)/9
Let j = -1 - -5. Let -j*x**2 - 220*x + 220*x = 0. Calculate x.
0
Factor -1/4*n - 1/2 + 1/2*n**2 + 1/4*n**3.
(n - 1)*(n + 1)*(n + 2)/4
What is k in -16/5*k**4 + 0*k**2 - 4/5*k**5 + 0*k - 16/5*k**3 + 0 = 0?
-2, 0
Let x(t) be the first derivative of -7*t**4/22 + 4*t**3/33 + 7*t**2/11 - 4*t/11 + 6. Determine b, given that x(b) = 0.
-1, 2/7, 1
Let k(g) = g**2 + 11*g + 4. Let c be k(-11). What is t in 3 + 2*t**3 - 3 + 6*t**2 - 4*t**3 - c*t = 0?
0, 1, 2
Suppose -3*k = -5*t + 10*t + 6, 0 = -2*t + 5*k + 10. Suppose 0*w**2 + 6/5*w**4 + 3/5*w**3 + t + 0*w + 3/5*w**5 = 0. What is w?
-1, 0
Let h(u) = u**2 + u - 1. Let k(t) = 6*t**2 - 6*t - 2. Let w(r) = -2*h(r) + k(r). Solve w(p) = 0 for p.
0, 2
Let b(g) be the second derivative of -g**6/6 + g**5/4 + 5*g**4/4 - 5*g**3/6 - 5*g**2 + 34*g. Factor b(c).
-5*(c - 2)*(c - 1)*(c + 1)**2
Let m be 9*(-4)/(-108) - (1 - 1). Let 1/3*f**2 + m - 2/3*f = 0. Calculate f.
1
Factor 0 - 4/5*a**2 + 8/5*a.
-4*a*(a - 2)/5
Let c(y) be the second derivative of 7*y**6/30 + 4*y**5/5 - 2*y**4 - 32*y**3/3 - 8*y**2 - 14*y. What is j in c(j) = 0?
-2, -2/7, 2
Let b(k) be the second derivative of 0 + 0*k**3 - k + 0*k**2 - 1/100*k**5 + 1/60*k**4. Factor b(l).
-l**2*(l - 1)/5
Factor -6 + 3 - 3*s**2 + 6.
-3*(s - 1)*(s + 1)
Let g = 12 + -12. Suppose -3*s**2 + g - 1 - 2 - 6*s + 0 = 0. Calculate s.
-1
Let w(l) = 9*l**3 - 33*l**2 + 24*l - 5. Let k(z) = -8*z**3 + 32*z**2 - 24*z + 4. Let v(r) = -5*k(r) - 4*w(r). Factor v(o).
4*o*(o - 6)*(o - 1)
Let g(r) = 3*r**2 - 6*r + 1. Let n be g(4). Let k = n - 23. Factor -2/9*c**k - 4/9 + 2/3*c.
-2*(c - 2)*(c - 1)/9
Let s(m) = m**3 + m**2 + m. Let k(c) = -c**4 + c**3 - 10*c**2 - 8*c + 8. Let b(x) = -5*k(x) - 20*s(x). Find g such that b(g) = 0.
-1, 2
Suppose 13*q - 2*q**2 + 6*q**2 - 19*q + 2*q**3 = 0. What is q?
-3, 0, 1
Let i(f) = -24*f**3 + 10*f**2. Suppose 7 - 1 = 2*q. Let y(o) = 4*o**2 - 5*o**3 - o**2 - o**2. Let j(m) = q*i(m) - 14*y(m). Factor j(t).
-2*t**2*(t - 1)
Let -18/5*j**2 + 12/5*j + 0 = 0. What is j?
0, 2/3
Suppose -290 = 3*d - 299. Factor -2/7*u**d + 2/7*u + 2/7*u**4 - 2/7*u**2 + 0.
2*u*(u - 1)**2*(u + 1)/7
Let c(i) = -3*i**2 + 3*i - 4. Let k(o) = -4*o**2 + 4*o - 4. Let j(m) = 6*c(m) - 5*k(m). Factor j(f).
2*(f - 2)*(f + 1)
Let j(c) be the third derivative of c**6/540 - c**4/108 - 3*c**2. Factor j( | {
"pile_set_name": "DM Mathematics"
} |
?
148
Convert 2581414.8 minutes to hours.
43023.58
How many seconds are there in 909.635 minutes?
54578.1
How many millilitres are there in 6.1954 litres?
6195.4
What is 0.3704338 millennia in decades?
37.04338
How many microseconds are there in 37/5 of a millisecond?
7400
How many kilograms are there in 11/2 of a tonne?
5500
What is 13/4 of a century in months?
3900
How many millilitres are there in thirty-one halves of a litre?
15500
How many minutes are there in 49.59447 weeks?
499912.2576
What is 36.67708 millilitres in litres?
0.03667708
How many seconds are there in 1/15 of a hour?
240
What is 3/8 of a millimeter in micrometers?
375
What is nine tenths of a gram in milligrams?
900
What is 49/5 of a hour in minutes?
588
What is 3.62664 centimeters in micrometers?
36266.4
What is 7/8 of a litre in millilitres?
875
What is 34/5 of a century in months?
8160
Convert 6.790374 months to centuries.
0.005658645
What is 7.519982 micrometers in nanometers?
7519.982
How many nanograms are there in 15/4 of a microgram?
3750
How many millilitres are there in twenty-one halves of a litre?
10500
How many grams are there in 3/8 of a kilogram?
375
What is 8009.133km in millimeters?
8009133000
What is sixty-one quarters of a millennium in years?
15250
Convert 35.00744 millennia to months.
420089.28
What is 4/3 of a century in months?
1600
What is 5/8 of a meter in millimeters?
625
How many micrometers are there in 13/8 of a centimeter?
16250
What is 0.3089134 litres in millilitres?
308.9134
What is 4786.22mg in nanograms?
4786220000
What is 21/8 of a milligram in micrograms?
2625
What is 3/40 of a tonne in kilograms?
75
How many meters are there in 1.4382 kilometers?
1438.2
How many decades are there in 0.6119361 years?
0.06119361
Convert 14154.11l to millilitres.
14154110
What is 4137.071 kilograms in micrograms?
4137071000000
How many nanoseconds are there in 8.508156 milliseconds?
8508156
How many minutes are there in 53/4 of a day?
19080
Convert 192139.5ug to nanograms.
192139500
How many nanometers are there in 0.773682um?
773.682
What is 43806.78ml in litres?
43.80678
What is 588523.2 micrometers in kilometers?
0.0005885232
How many millilitres are there in 8/25 of a litre?
320
How many nanograms are there in six fifths of a microgram?
1200
What is 683.5101ml in litres?
0.6835101
Convert 8440.139ml to litres.
8.440139
What is 138.5611t in micrograms?
138561100000000
Convert 56.97353l to millilitres.
56973.53
Convert 77.3444 centimeters to nanometers.
773444000
How many micrograms are there in 1/20 of a gram?
50000
How many millilitres are there in three tenths of a litre?
300
How many millilitres are there in 3/40 of a litre?
75
What is one fifth of a second in milliseconds?
200
What is three fifths of a hour in minutes?
36
What is 1/5 of a micrometer in nanometers?
200
What is 42085.02 decades in years?
420850.2
How many nanograms are there in 974572.2mg?
974572200000
How many milligrams are there in 3/40 of a gram?
75
What is 9/10 of a meter in centimeters?
90
How many millilitres are there in 0.941248l?
941.248
What is 23/3 of a century in months?
9200
What is three tenths of a week in minutes?
3024
How many centuries are there in 0.6005678 years?
0.006005678
What is 53/4 of a litre in millilitres?
13250
What is one sixteenth of a centimeter in micrometers?
625
What is 13/4 of a litre in millilitres?
3250
How many micrometers are there in 9.356539nm?
0.009356539
What is 1800439.8 months in centuries?
1500.3665
What is 13/8 of a tonne in kilograms?
1625
How many months are there in 1/24 of a decade?
5
How many millilitres are there in one tenth of a litre?
100
What is one quarter of a tonne in kilograms?
250
How many months are there in one sixth of a century?
200
What is one quarter of a centimeter in micrometers?
2500
How many micrograms are there in 65.48236t?
65482360000000
Convert 3710.914l to millilitres.
3710914
What is 51/5 of a kilogram in grams?
10200
How many centimeters are there in 4534.598 meters?
453459.8
What is 63779.84 years in centuries?
637.7984
How many years are there in 12624.729 months?
1052.06075
What is 51.41055 litres in millilitres?
51410.55
How many meters are there in 7.791212 micrometers?
0.000007791212
What is 5/8 of a microgram in nanograms?
625
Convert 0.4614927 kilometers to micrometers.
461492700
What is 17/2 of a year in months?
102
What is 16711.23 months in decades?
139.26025
How many centimeters are there in 1/5 of a kilometer?
20000
How many micrograms are there in seven quarters of a milligram?
1750
How many milligrams are there in 11/8 of a gram?
1375
What is 2.161256l in millilitres?
2161.256
How many meters are there in 4901.245 centimeters?
49.01245
How many millennia are there in 6.13355 decades?
0.0613355
What is 49/5 of a gram in milligrams?
9800
What is 0.2819194 microseconds in seconds?
0.0000002819194
How many millilitres are there in 23289.5 litres?
23289500
How many microseconds are there in thirty-one halves of a millisecond?
15500
What is 8/25 of a kilogram in grams?
320
What is 5.507144 years in centuries?
0.05507144
How many millilitres are there in twenty-seven quarters of a litre?
6750
What is 1/10 of a litre in millilitres?
100
How many milliseconds are there in 28842.27us?
28.84227
What is twenty-one halves of a day in minutes?
15120
Convert 9635.733 weeks to days.
67450.131
What is 3012.164 kilometers in millimeters?
3012164000
What is 0.6615083 centuries in years?
66.15083
How many nanoseconds are there in 1/4 of a microsecond?
250
How many millilitres are there in one fifth of a litre?
200
What is 11/4 of a microsecond in nanoseconds?
2750
How many milligrams are there in 1/20 of a gram?
50
How many nanograms are there in 4064.252t?
4064252000000000000
What is 53240.25t in nanograms?
53240250000000000000
How many centimeters are there in 89.35233nm?
0.000008935233
What is eight fifteenths of a hour in seconds?
1920
How many centuries are there in 3/10 of a millennium?
3
What is 8571.755ug in grams?
0.008571755
How many decades are there in six fifths of a millennium?
120
Convert 9.284444um to centimeters.
0.0009284444
How many litres are there in 8768.435ml?
8.768435
What is thirteen eighths of a microgram in nanograms?
1625
How many minutes are there in 1.345295 weeks?
13560.5736
How many kilograms are there in 55.86195 milligrams?
0.00005586195
How many kilograms are there in 9/10 of a tonne?
900
What is 600385.4 weeks in seconds?
363113089920
How many microseconds are there in three eighths of a millisecond?
375
What is three eighths of a litre in millilitres?
375
How many months are there in 3/10 of a decade?
36
How many decades are there in 0.819456 months?
0.0068288
Convert 7.682751 millilitres to litres.
0.007682751
How many nanometers are there in 18.42621um?
18426.21
How many decades are there in 18/5 of a century?
36
How many grams are there in 18/5 of a kilogram?
3600
How many nanometers are there in seven halves of a micrometer?
3500
How many millimeters are there in nine tenths of a centimeter?
9
What is 0.3930512s in nanoseconds?
393051200
How many grams are there in 11/2 of a kilogram?
5500
What is one quarter of a meter in millimeters?
250
How many litres are there in 82.09651ml?
0.08209651
Convert 78.51034ng to tonnes.
0.00000000000007851034
How many grams are there in 5.566427ug?
0.000005566427
How many millilitres are there in thirty-two fifths of a litre?
6400
What is 6/25 of a litre in millilitres?
240
What is 54/5 of a litre in millilitres?
10800
Convert 62.06695 years to centuries.
0.6206695
Convert 32.74317 years to centuries.
0.3274317
What is 3/40 of a gram in micrograms?
75000
How many micrometers are there in 1/64 of a meter?
15625
What is twenty-five eighths of a millennium in years?
3125
Convert 9.436268 kilograms to milligrams.
9436268
How many litres are there in 72.81491ml?
0.07281491
What is 19/4 of a week in minutes?
47880
Convert 79269.46 millennia to months.
951233520
What is 88.49935l in millilitres?
88499.35
Convert 4.36437s to minutes.
0.0727395
How many micrograms are there in fifty-three quarters of a milligram?
13250
How many nanograms are there in twenty-seven halves of a microgram?
13500
What is 5/8 of a litre in millilitres?
625
How m | {
"pile_set_name": "DM Mathematics"
} |
r 17*c**2 - 2 + 2*c**3 - 5*c**k - c - 10*c**2 - c.
2*(c - 1)*(c + 1)**2
Let u(k) be the second derivative of -7*k + 1/3*k**2 - 1/15*k**5 + 0 - 4/9*k**3 + 5/18*k**4. Find i such that u(i) = 0.
1/2, 1
Suppose -2*f + 7 = 1. Let i be (-3 + 4 + f)/2. Let n(t) = 4*t**2 + 2. Let d(r) = r**3 + 4*r**2 + r + 3. Let x(y) = i*d(y) - 3*n(y). Suppose x(k) = 0. What is k?
0, 1
Let x(r) be the first derivative of -5*r**6/6 + 4*r**5 - 5*r**4 - 44. Factor x(t).
-5*t**3*(t - 2)**2
Determine j, given that 11*j - 5*j - 4*j - 7*j**2 + 3*j**2 + 2*j**3 = 0.
0, 1
Let y(z) = -z - 9. Let w be y(-7). Let l = w - -4. Let 1/2*n**5 + 0*n**l - n**3 + 1/2*n + 0*n**4 + 0 = 0. What is n?
-1, 0, 1
Let n = -157 - -159. Let t(u) be the third derivative of 0 + 1/300*u**5 + 0*u**3 - 1/1050*u**7 + u**n - 1/600*u**6 + 1/120*u**4 + 0*u. Solve t(h) = 0 for h.
-1, 0, 1
Let q(z) be the third derivative of -z**10/302400 + 7*z**5/60 - 2*z**2. Let l(c) be the third derivative of q(c). Factor l(i).
-i**4/2
Suppose 0 = -0*b + 2*b. Suppose -h + 6*h = b. Solve -3*f - f**3 - 1 + 2*f**2 - 5*f**2 + h = 0.
-1
Let m(x) be the first derivative of x**5/70 - x**3/7 + 2*x**2/7 + 5*x - 4. Let u(f) be the first derivative of m(f). Factor u(k).
2*(k - 1)**2*(k + 2)/7
Let a(g) be the first derivative of -g**2 - 20*g - 4. Let k be a(-10). Factor 9*c**4 + k*c + 0 + 3*c**3 + 9*c**5 + 1/3*c**2.
c**2*(3*c + 1)**3/3
What is b in 3*b**3 + 104*b + 3*b**2 - b**5 - 106*b - b**4 - 2*b**2 = 0?
-2, -1, 0, 1
Let n(i) be the second derivative of -i**6/90 + i**4/18 - i**2/6 - 3*i. Factor n(j).
-(j - 1)**2*(j + 1)**2/3
Let o(x) = 2*x**2 - 7*x + 10. Let l(h) = -h**2 + h - 1. Let f(r) = -4*l(r) - 4*o(r). Determine q, given that f(q) = 0.
3
Let g(b) be the first derivative of 33*b**3 - 123*b**2/2 + 15*b - 1. Let m(j) = -25*j**2 + 31*j - 4. Let s(n) = 2*g(n) + 9*m(n). Factor s(i).
-3*(i - 1)*(9*i - 2)
Let u(k) = 13*k**3 + 4*k**4 - 2 + 8 + 12*k - 5*k**3 + 20*k**2. Let f(r) = 13*r**4 + 23*r**3 + 61*r**2 + 35*r + 19. Let g(l) = -2*f(l) + 7*u(l). Factor g(p).
2*(p + 1)**3*(p + 2)
Let v(g) be the first derivative of 0*g - 1/4*g**2 - 1/6*g**3 + 1. Factor v(x).
-x*(x + 1)/2
Let n be ((-3)/(-1))/(3 + 0). Suppose 0 = 2*x - n - 7. Solve -1/3*s**2 + 0 + 0*s - 2/3*s**3 - 1/3*s**x = 0.
-1, 0
Suppose -4*z + 0*r = -3*r - 65, -4*r - 60 = -4*z. Suppose j - y = 0, z = 5*j - 0*j + 5*y. Factor 0 - 1/3*o**4 + 1/3*o**j - 1/3*o**3 + 0*o + 1/3*o**5.
o**2*(o - 1)**2*(o + 1)/3
Let p(y) be the second derivative of 0*y**3 - 1/2*y**2 - y + 0 - 1/180*y**5 - 1/72*y**4. Let v(z) be the first derivative of p(z). Factor v(m).
-m*(m + 1)/3
Suppose 2*r + 2*t + 6 = -3*t, -2*r + t = 18. Let q = 8 + r. What is w in 4/7*w - 10/7*w**2 + q = 0?
0, 2/5
Let w(o) be the second derivative of o**6/240 - 3*o**5/40 + 9*o**4/16 - 5*o**3/6 + 6*o. Let u(x) be the second derivative of w(x). Factor u(n).
3*(n - 3)**2/2
Let z(c) be the first derivative of c**6/39 - 4*c**5/65 + 16. Find o, given that z(o) = 0.
0, 2
Let j(z) be the second derivative of -2*z**7/21 + 2*z**5/5 - 2*z**3/3 + 8*z. Suppose j(a) = 0. Calculate a.
-1, 0, 1
Let p(s) be the second derivative of 2*s**6/45 - s**5/5 - 55*s. Solve p(j) = 0 for j.
0, 3
Let u(y) be the third derivative of y**8/3360 - 2*y**7/525 + y**6/50 - 4*y**5/75 + y**4/15 + 2*y**2. Factor u(i).
i*(i - 2)**4/10
Let g(f) = f**3 - 13*f**2 + f - 10. Let x be g(13). Factor 2*b**2 - 6*b**5 + x*b**5 + 2*b**5 + 2*b**3 + 1 - 2 - b - b**4.
-(b - 1)**2*(b + 1)**3
Let n be 2/(-3)*(-2)/(-4)*0. Let d(x) be the second derivative of 0*x**4 + 0*x**3 + 0*x**2 - 1/80*x**5 + n + 3*x. Factor d(h).
-h**3/4
Let z(j) be the third derivative of j**6/360 - j**5/45 + j**4/24 + 39*j**2. Determine r, given that z(r) = 0.
0, 1, 3
Suppose 9*k**3 - 32*k + 140*k + 54 + 72*k**2 + 7*k**3 = 0. Calculate k.
-3/2
Let d be (1 - (-1 - -3)) + -2. Let h(p) = -p**2 + p + 1. Let t(i) = 3*i + 1. Let k(y) = d*t(y) + 6*h(y). Factor k(n).
-3*(n + 1)*(2*n - 1)
Let i(p) be the first derivative of 2*p**4 + 10*p**3/3 + 3*p**2 + 2. Let k(v) = 15*v**3 + 21*v**2 + 13*v. Let h(l) = 13*i(l) - 6*k(l). Factor h(g).
2*g**2*(7*g + 2)
Let r(q) be the second derivative of -1/3*q**3 - 1/18*q**4 + 2/3*q**2 - 4*q - 1/45*q**6 + 0 + 1/10*q**5. Solve r(i) = 0.
-1, 1, 2
Let x(c) be the third derivative of 0*c**5 - 1/180*c**6 + 3*c**2 + 0*c**3 + 0*c**7 + 1/72*c**4 + 0*c + 0 + 1/1008*c**8. Factor x(k).
k*(k - 1)**2*(k + 1)**2/3
Let j(x) be the third derivative of -x**7/42 + x**6/24 + x**5/12 - 5*x**4/24 - 19*x**2. Factor j(y).
-5*y*(y - 1)**2*(y + 1)
Find r such that 0 + 3*r**4 + 3/2*r + 15/2*r**3 + 6*r**2 = 0.
-1, -1/2, 0
Let l(b) = 2*b**5 - 6*b**4 - 4*b**3 + 4*b**2. Let w(a) = 3*a**5 - 13*a**4 - 8*a**3 + 8*a**2. Let d(j) = -5*l(j) + 2*w(j). Factor d(h).
-4*h**2*(h - 1)**2*(h + 1)
Let a(x) be the third derivative of -x**8/4200 + x**7/1050 - x**5/150 + x**4/60 - x**3/6 + 7*x**2. Let f(u) be the first derivative of a(u). Factor f(o).
-2*(o - 1)**3*(o + 1)/5
Let f(x) be the first derivative of -x**3/6 - x**2/8 + 19. What is b in f(b) = 0?
-1/2, 0
Let g(a) be the first derivative of -a**4/5 + 4*a**3/15 + 2*a**2 + 12*a/5 - 13. Let g(n) = 0. What is n?
-1, 3
Let b(x) be the third derivative of -x**6/40 + 3*x**5/10 - 3*x**4/2 + 4*x**3 + 9*x**2. Let b(p) = 0. What is p?
2
Factor -4/3*o**2 + 0*o + 2/3*o**3 + 0.
2*o**2*(o - 2)/3
Let t(i) be the first derivative of i**2 - 1/3*i**3 + i + 1/10*i**5 + 2 - 1/6*i**4. Let n(s) be the first derivative of t(s). Factor n(m).
2*(m - 1)**2*(m + 1)
Let c(n) be the second derivative of -n**6/90 - 3*n**5/40 - n**4/12 - 11*n**3/6 - 3*n. Let f(y) be the second derivative of c(y). Factor f(i).
-(i + 2)*(4*i + 1)
Let n be (-155)/(-6) - 3/(-6). Let t = n - 26. Find x such that t*x + 1/3*x**2 - 2/3 = 0.
-2, 1
Factor 10/3*z**5 + 6*z**3 + 0*z + 0 - 4/3*z**2 - 8*z**4.
2*z**2*(z - 1)**2*(5*z - 2)/3
Let a(i) = 7*i**3 - 4*i**2 + i - 4. Let j(h) = -48*h**3 + 27*h**2 - 6*h + 27. Let m = 21 + 6. Let l(f) = m*a(f) + 4*j(f). Solve l(o) = 0.
-1, 0, 1
Let f(a) be the second derivative of -7*a**5/30 + 22*a**4/9 - 25*a**3/3 + 6*a**2 - 2*a. Factor f(u).
-2*(u - 3)**2*(7*u - 2)/3
Let i(n) be the first derivative of -2/15*n**5 + 0*n**2 + 2/9*n**3 + 0*n**4 + 0*n + 1. Determine t, given that i(t) = 0.
-1, 0, 1
Let k(w) be the first derivative of -w**6/24 + 3*w**5/40 + w**4/4 - w**3/3 + 4. Let t(u) be the third derivative of k(u). Let t(o) = 0. Calculate o.
-2/5, 1
Let m(i) = i**2 - 5*i - 4. Let q be m(5). Let c = 7 + q. Factor -6*w**c + 4*w**4 - w + 5*w**5 + 4*w**2 - 2*w**5 - 4*w**5.
-w*(w - 1)**4
Let n(d) be the second derivative of d**7/294 - d**6/42 + d**5/14 - 5*d**4/42 + 5*d**3/42 - d**2/14 - 10*d. Factor n(h).
(h - 1)**5/7
Let p(c) be the third derivative of -c**4/24 - 5*c**3/3 + 10*c**2. Let g be p(-10). Factor 2/11*j**2 - 2/11*j + 2/11*j**3 - 2/11*j**4 + g.
-2*j*(j - 1)**2*(j + 1)/11
Let n(r) be the first derivative of -r**4/44 + r**3/33 - 32. Factor n(u).
-u**2*(u - 1)/11
Let l = 56 + -52. Factor 2*v**3 + 0*v + 0 - 4/3*v**2 - 2/3*v**l.
-2*v**2*(v - 2)*(v - 1)/3
Factor -6*n**2 - 2*n**3 - 5*n + 10*n**3 + 8 - 5*n + 2*n - 2*n**4.
-2*(n - 2)**2*(n - 1)*(n + 1)
Let x(j) be the first derivative of 0*j**2 + 1/2*j**3 - 1/8*j**4 + 0*j + 8. Determine l, given that x(l) = 0.
0, 3
Let p be ((-4)/(-6))/(4/12). Let c = p + 0. Factor -o**2 - 2*o**4 - o**2 + 2*o - c*o**3 + 4*o**2.
-2*o*(o - 1)*(o + 1)**2
Let h = 11 - 11. Factor 2/3*k**3 + 0*k + 2/3*k**4 + h*k**2 + 0.
2*k**3*(k + 1)/3
Let c(p) be the first derivative of p**5/50 - 2*p**4/15 + p**3/3 - 2*p**2/5 - 5*p - 2. Let t(i) be the first derivative of c(i). Let t(l) = 0. Calculate l.
1, 2
Let z be (-3 - 0) + -1 + 235/47. What is d in 1/4*d**2 + z - d = 0?
2
Let w = -54 + 56. What is o in 1/2*o - 3*o**3 - 3/2*o**5 + 0*o**w + 0 - 4*o**4 = 0?
-1, 0, 1/3
Let k be 46/(-4) + (-2)/4. Let x be (-50)/4*k/5. Determine o so that -32/3*o**2 - 4/3*o - 65/3*o**3 + x*o**5 + 11/3*o**4 + 0 = 0.
-1/2, -2/5, -2/9, 0, 1
Let d(n) = -n**4 + n**3 - n + 1. Let r(y) = -y**5 - 5*y**4 + 6*y**3 + 2*y**2 - 5*y + 3. Let c(i) = -4*d(i) + r(i). Factor c(u).
-(u - 1)**2*(u + 1)**3
Let y(s) be the first derivative of s**6/30 + s**5/15 - s**4/6 - 2*s**3/3 - 2*s**2 - 2. Let i(b) be the second derivative of y(b). Factor i(z).
4*(z - 1)*(z + 1)**2
Solve 68/3*c**3 + 44/3*c - 20/3*c**4 - 8/3 - 28*c**2 = 0 | {
"pile_set_name": "DM Mathematics"
} |
of sequence ol when two letters picked without replacement from lmolloololmmo?
25/156
Two letters picked without replacement from axwwwwaaaxaawwaxwa. What is prob of sequence xa?
4/51
What is prob of sequence kak when three letters picked without replacement from {k: 7, a: 6, c: 1}?
3/26
Four letters picked without replacement from glglcggclgcclco. What is prob of sequence gcll?
5/546
Calculate prob of sequence utmw when four letters picked without replacement from {w: 2, u: 7, t: 1, m: 6, d: 3}.
7/7752
Three letters picked without replacement from {l: 1, q: 11}. Give prob of sequence qlq.
1/12
Four letters picked without replacement from ttqstqqqqqtqtstqq. Give prob of sequence sqtq.
9/595
Three letters picked without replacement from {o: 3, g: 2, j: 1, e: 1}. What is prob of sequence oej?
1/70
Three letters picked without replacement from {h: 10}. Give prob of sequence hhh.
1
Three letters picked without replacement from {v: 1, h: 1, q: 1, i: 1, p: 1, c: 2}. What is prob of sequence qqi?
0
What is prob of sequence fe when two letters picked without replacement from {f: 17, e: 1}?
1/18
Two letters picked without replacement from {i: 4, e: 4, k: 6}. What is prob of sequence ii?
6/91
Three letters picked without replacement from {o: 1, j: 2, z: 6, l: 2, i: 4}. Give prob of sequence jll.
2/1365
Two letters picked without replacement from {f: 5, k: 7, a: 1}. Give prob of sequence fa.
5/156
Three letters picked without replacement from {q: 2, z: 4, g: 1}. What is prob of sequence zzg?
2/35
Three letters picked without replacement from {i: 2, z: 1, s: 1, v: 2}. Give prob of sequence iis.
1/60
What is prob of sequence qq when two letters picked without replacement from qqqqqqqqqq?
1
Calculate prob of sequence zm when two letters picked without replacement from {e: 1, d: 6, i: 4, m: 4, z: 1}.
1/60
Two letters picked without replacement from qqqlqgqqqqgqqqgqq. Give prob of sequence gl.
3/272
Four letters picked without replacement from {t: 3, b: 4, y: 2, p: 4, k: 1}. Give prob of sequence yypb.
4/3003
Two letters picked without replacement from {p: 5, r: 7, m: 1, d: 1, e: 2}. Give prob of sequence dm.
1/240
Three letters picked without replacement from {t: 5, q: 2, m: 3}. Give prob of sequence ttq.
1/18
Three letters picked without replacement from yypfep. What is prob of sequence pye?
1/30
Calculate prob of sequence jw when two letters picked without replacement from twjwjt.
2/15
Two letters picked without replacement from {d: 3, g: 3, e: 1, x: 1, h: 1, w: 2}. What is prob of sequence gh?
3/110
Two letters picked without replacement from {c: 2, k: 9}. What is prob of sequence kk?
36/55
What is prob of sequence pyy when three letters picked without replacement from pppypypppppypp?
11/364
Four letters picked without replacement from mjffjfgjgggg. What is prob of sequence jgmj?
1/396
Calculate prob of sequence uuo when three letters picked without replacement from uoouwuuwuwowu.
15/286
Three letters picked without replacement from vtvtlvtvvtelttlbz. What is prob of sequence lte?
3/680
Four letters picked without replacement from {s: 1, k: 8, l: 8}. What is prob of sequence klks?
2/255
Four letters picked without replacement from rpprp. Give prob of sequence pprp.
1/10
Three letters picked without replacement from nvvnvnfsvvvnnnn. Give prob of sequence nfv.
1/65
Two letters picked without replacement from pohssuuppesepuueospu. What is prob of sequence hs?
1/95
Two letters picked without replacement from {x: 2, e: 1, j: 1, d: 2}. Give prob of sequence xj.
1/15
Calculate prob of sequence jmj when three letters picked without replacement from {j: 3, m: 2}.
1/5
Two letters picked without replacement from cnnnlunounwuulwu. What is prob of sequence lc?
1/120
Four letters picked without replacement from ppsxxpxxhpxpspxplpex. What is prob of sequence phxe?
7/14535
Four letters picked without replacement from {n: 1, g: 2, r: 1, b: 1, k: 1, e: 2}. Give prob of sequence ekrb.
1/840
What is prob of sequence vorp when four letters picked without replacement from {p: 3, o: 1, r: 3, h: 2, v: 1}?
1/560
What is prob of sequence bxoo when four letters picked without replacement from zqqoqozodqddxdzqbo?
1/6120
What is prob of sequence bh when two letters picked without replacement from hhbbhhhbbhbbb?
7/26
Two letters picked without replacement from {f: 1, r: 3, b: 3, q: 5, o: 7}. Give prob of sequence ob.
7/114
Four letters picked without replacement from {l: 1, x: 5, w: 3, y: 2, s: 8, r: 1}. Give prob of sequence xwwy.
1/1938
Three letters picked without replacement from kkkpm. Give prob of sequence pmk.
1/20
Calculate prob of sequence mgm when three letters picked without replacement from {g: 12, m: 6}.
5/68
Three letters picked without replacement from jgbggaccag. What is prob of sequence ccb?
1/360
Calculate prob of sequence mmc when three letters picked without replacement from {s: 1, m: 3, c: 4, x: 4, i: 2}.
1/91
Two letters picked without replacement from coacggocooooggcagg. What is prob of sequence co?
4/51
Calculate prob of sequence wwvn when four letters picked without replacement from {n: 1, v: 2, x: 1, w: 1, l: 1, h: 1}.
0
What is prob of sequence uqjd when four letters picked without replacement from fjffvvqquqqudqquuvju?
1/1938
What is prob of sequence gvgg when four letters picked without replacement from {v: 4, q: 2, g: 5}?
1/33
Calculate prob of sequence rh when two letters picked without replacement from {j: 6, r: 1, h: 4}.
2/55
Calculate prob of sequence bw when two letters picked without replacement from {b: 7, w: 1, o: 2}.
7/90
Calculate prob of sequence pn when two letters picked without replacement from {n: 3, p: 8, s: 7}.
4/51
Three letters picked without replacement from rttlrrgtgrrrwrrlr. What is prob of sequence lrw?
3/680
What is prob of sequence wy when two letters picked without replacement from {w: 2, y: 3, z: 4}?
1/12
What is prob of sequence rs when two letters picked without replacement from {r: 4, w: 2, l: 2, d: 5, s: 4}?
1/17
Four letters picked without replacement from {e: 4, p: 8, z: 4}. Give prob of sequence eeee.
1/1820
Three letters picked without replacement from {u: 1, b: 1, c: 1, q: 1, z: 1}. What is prob of sequence qcb?
1/60
Calculate prob of sequence gm when two letters picked without replacement from smmshgmmjjjgmsmhjg.
1/17
What is prob of sequence wq when two letters picked without replacement from wkkwwwkwwwwwkkwwqkw?
2/57
What is prob of sequence htt when three letters picked without replacement from kkhtbzbbkt?
1/360
Two letters picked without replacement from {g: 1, l: 3, b: 1, w: 1, h: 1}. Give prob of sequence lw.
1/14
Two letters picked without replacement from {k: 3, z: 12, t: 2}. Give prob of sequence tz.
3/34
Calculate prob of sequence iii when three letters picked without replacement from {i: 3}.
1
Three letters picked without replacement from feffffffffeaff. What is prob of sequence aee?
1/1092
Three letters picked without replacement from xwbbbwxwbbbbbbwbbx. What is prob of sequence wxw?
1/136
Two letters picked without replacement from svivsvvvsvvrvrvsrrvs. What is prob of sequence ri?
1/95
Four letters picked without replacement from qqhue. Give prob of sequence qhue.
1/60
Calculate prob of sequence gvg when three letters picked without replacement from ccgcmcckpcpgpkkcpvck.
1/3420
Calculate prob of sequence fol when three letters picked without replacement from wklffowv.
1/168
Two letters picked without replacement from {q: 2, n: 6, p: 5}. Give prob of sequence pn.
5/26
What is prob of sequence ee when two letters picked without replacement from {e: 4, n: 6}?
2/15
Two letters picked without replacement from {r: 17, l: 3}. Give prob of sequence rr.
68/95
What is prob of sequence kdmx when four letters picked without replacement from kkkmdmtkx?
1/378
Two letters picked without replacement from {t: 1, s: 2, j: 1, w: 4, g: 7}. What is prob of sequence jw?
2/105
Calculate prob of sequence nydd when four letters picked without replacement from ynnnnyyydnnynddyny.
7/1530
Calculate prob of sequence www when three letters picked without replacement from {h: 3, w: 12}.
44/91
Calculate prob of sequence bz when two letters picked without replacement from bbbbzbbzwbbbbb.
11/91
Four letters picked without replacemen | {
"pile_set_name": "DM Mathematics"
} |
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