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n - 19 = 6. What are the prime factors of n?
5
Let k(v) = -v - 8. Let n be k(0). Let x = n - -23. Suppose 50 = 5*t - x. What are the prime factors of t?
13
Let y = -3 + 0. What are the prime factors of (-21)/14*58/y?
29
Suppose -3*d + 4 + 2 = 0. Suppose 0*s + 30 = 5*w + d*s, 3*w = 2*s + 2. List the prime factors of w.
2
Let f be 2*1 + (8 - 9). Let a(l) = 14*l**3 - l. What are the prime factors of a(f)?
13
Suppose -4*h = i - 0*i + 17, 4*h - 5*i + 11 = 0. Let w = h - -6. Suppose w*f - 13 - 17 = 0. What are the prime factors of f?
3, 5
Let s(t) = t**3 + 6*t**2 - 8*t - 4. Let a be s(-7). List the prime factors of (0 - (a + -4))*17.
17
Let y = 20 + -13. Let r = 9 + y. What are the prime factors of r?
2
What are the prime factors of 3/(-12) + (-154)/(-8)?
19
Suppose 0 = -3*o + 19 + 2. What are the prime factors of o?
7
Let x(j) = j**3 - 3*j**2 - 6*j + 6. Let l be x(4). Let t = l + 7. What are the prime factors of 10/(-25) + 62/t?
2, 3
Suppose -15*q + 1650 = -4*q. What are the prime factors of q?
2, 3, 5
Let j = -72 - -88. What are the prime factors of j?
2
Let d(i) = 3*i - 3. Let o be d(2). Suppose -y = -0*y + o. Let a = y - -6. List the prime factors of a.
3
Suppose 0 = 4*d, 2*k = -d + 17 + 29. List the prime factors of k.
23
Let z(h) = h**3 - 5 - 9*h**2 - 2 + 14*h - 4*h. Let c be z(8). List the prime factors of (0 + -1*c)*-1.
3
Suppose b - 144 = -2*b. Suppose f - 2*z - b = 0, -3*f + 2*z = -z - 144. Suppose f = 4*s - w, 0*w + w - 7 = -s. List the prime factors of s.
11
Let q(c) = -c - 1. Let y be q(-1). Suppose -d + 2 + 12 = y. List the prime factors of d.
2, 7
Let s = -26 - -53. List the prime factors of s.
3
Let k = -116 - -212. List the prime factors of k.
2, 3
Suppose 0 = 4*r - 211 - 69. List the prime factors of r.
2, 5, 7
Suppose -3*j + j = 4, -2*f - 3*j + 72 = 0. List the prime factors of f.
3, 13
Suppose -4 + 34 = v - 4*x, 0 = -4*v - x + 103. List the prime factors of v.
2, 13
Suppose 0 = 2*u + 2*h - 10, 3*h = -14 - 1. Let f = 14 - u. List the prime factors of f - -1*-1*2.
2
Suppose -4*v + 4*n = 108, 5*v + 2*n + 61 = 2*v. Let j = v + 45. List the prime factors of j.
2, 11
Let l(j) = 2*j**2 - 6*j - 7. What are the prime factors of l(7)?
7
Suppose 6*l = 4*l - 52. Let q = 4 - l. What are the prime factors of ((-2)/(-4))/(3/q)?
5
Let f be -46*(4/8)/(-1). List the prime factors of f/3 - (-4)/(-6).
7
Let m = -5 - -29. Suppose -99 - m = -3*n. What are the prime factors of n?
41
Let v be 3/3 - 5 - 2. List the prime factors of v/2*(-5 + -1).
2, 3
Suppose 0 = 4*y + 41 + 47. Let r = -11 - y. List the prime factors of r.
11
Let u be ((-4)/10)/((-1)/220). Let z = -61 + u. What are the prime factors of z?
3
Let g(o) = -5*o + 5. Let c(i) = -10*i + 10. Let u(m) = 6*c(m) - 11*g(m). Let h be u(-5). Suppose 4*f - f = h. What are the prime factors of f?
2, 5
List the prime factors of 2 - ((-3 - -1) + -35).
3, 13
Let r(c) = c**3 + 2*c**2 + 1. Let f be r(-3). Let j = 11 + f. What are the prime factors of j?
3
List the prime factors of (396/(-16))/((-6)/16).
2, 3, 11
Let m(b) = 2*b**2 + 6*b - 13. What are the prime factors of m(8)?
163
Let n = 90 - -135. What are the prime factors of n?
3, 5
Let r = 1 + 0. List the prime factors of (17 - 0) + (r - 2).
2
Let w = -5 + 7. Let s(x) = -x**w - 8*x**2 - x**3 - 6 + 0*x - 10*x. List the prime factors of s(-8).
2, 5
Let t(p) = -p**2 + 7*p - 5. Suppose m - 18 = -2*m. Let y be t(m). Let j = y + 1. List the prime factors of j.
2
Let g = 621 - 429. What are the prime factors of g?
2, 3
Let b = 70 - -53. List the prime factors of b.
3, 41
Let p(t) = t**3 - 5*t**2 - 4*t - 4. Let u be p(6). Let o be (-5)/15 + 24/(-9). Let g = o + u. List the prime factors of g.
5
Let x(m) be the first derivative of m**3 + m**2/2 - 2*m + 1. List the prime factors of x(-2).
2
Let s be (-3*(-1)/(-1))/(-1). What are the prime factors of (-3)/s + 42/3?
13
Let c = 7 + -5. Suppose 0*s = -c*s + 4. Suppose -v + 24 = s*v. What are the prime factors of v?
2
Let z = 3 + 0. What are the prime factors of z?
3
Suppose -4*o = l - 10, -3*o - 40 = -4*l + 2*o. List the prime factors of l.
2, 5
Let c be 19 + ((-3)/(-1))/3. Suppose -k + c = 4*k. List the prime factors of k.
2
Let u(z) = -16*z - 4. Let i be u(-4). Suppose i = 3*a + q, 0*a + 23 = 2*a - 5*q. What are the prime factors of a?
19
Let n be -21*((-2)/(-6))/(-1). Let r(i) be the third derivative of i**4/8 - 5*i**3/3 - 3*i**2. List the prime factors of r(n).
11
Let m(z) = -7*z - 22. What are the prime factors of m(-6)?
2, 5
Let l(s) = s - 3. Suppose -8 = -2*w + 4. Let v be l(w). Suppose -28 = -v*b - 7. List the prime factors of b.
7
Suppose 16*d = 6*d + 120. What are the prime factors of d?
2, 3
Suppose -3*h + 2*h = -5. Suppose 3*j - 3*v = -16 - 5, 2*j = h*v - 8. What are the prime factors of (-3)/6*4 - j?
7
Let g(z) be the first derivative of 1 + 3/2*z**2 - 5*z. What are the prime factors of g(4)?
7
Let b = 260 - 97. List the prime factors of b.
163
Let g(m) = -m**3 - 3*m**2 + 3*m - 1. Let w be g(-4). Suppose w*v = -v. What are the prime factors of v/1 - (-12 - -4)?
2
Let l = -13 + 134. List the prime factors of l.
11
Let h(k) = k**3 + k**2 - 2*k + 2. Let z be h(-3). List the prime factors of (36/z)/((-6)/20).
2, 3
Suppose -c + 23 = 5*f, 5*c - 4*f = 2*c + 12. What are the prime factors of c?
2
Let a = 3 - 0. Suppose 4*b = -a + 23, -5*s + 5 = b. Let z = s - -4. List the prime factors of z.
2
Let d = -4 - -21. List the prime factors of d.
17
What are the prime factors of 3 - (0 - (31 - 1))?
3, 11
Suppose -7*f + 472 = -5*f. List the prime factors of f.
2, 59
Let k be (1/(-1))/(2/10). Let r be (-3)/2*(3 + k). What are the prime factors of 1*r/((-3)/(-5))?
5
Suppose -5*c - o + 5 = 0, 3*o + 5 = 3*c + 4*o. Suppose 2*w - w - 12 = -3*n, 2*w - 2*n - 64 = c. What are the prime factors of w?
3
Let f(k) = 4*k - 40. Let j be f(10). Let a(i) = -2*i. Let l be a(-6). Suppose -g + 2*g - l = j. List the prime factors of g.
2, 3
Suppose -2*k = s - 137, k + 1 - 2 = 0. What are the prime factors of s?
3, 5
Suppose 0*f = -4*f + 48. Let o = 41 - f. What are the prime factors of o?
29
Let x = -17 + 19. Suppose -y - x = -4. What are the prime factors of y?
2
Let i = 397 + -270. What are the prime factors of i?
127
Suppose 0 = -h + 3*h - 5*l - 140, 0 = 3*l + 12. List the prime factors of h.
2, 3, 5
Suppose 0 = -h - h + 2. Let s(o) = 7*o**3 + o**2 - 1. Let r be s(-1). Let c = h - r. What are the prime factors of c?
2
Let u be 1/(-6) - (-4)/24. List the prime factors of u/((-3)/1) + 9.
3
Let b(m) = m**3 + 5*m**2 - m + 1. Let k be b(-5). Let u(i) = -i**2 - 4*i + 4. Let z be u(-5). Let v = z + k. What are the prime factors of v?
5
Suppose 3*l - 40 = 80. What are the prime factors of 3/(-2)*l/(-12)?
5
Suppose -o + 1 = -22. List the prime factors of o.
23
Suppose 72 = 2*k - 442. What are the prime factors of k?
257
Let q = -19 + 21. Suppose 3*a + q*a = 150. List the prime factors of a.
2, 3, 5
Suppose -4*u - u - 69 = -4*f, 3*u + f + 55 = 0. Let g = -10 - u. Suppose g = 2*w - 7. What are the prime factors of w?
7
Suppose 9 = 5*q + 4*y, -5*y = -4 - 1. What are the prime factors of (-2 - q)*(-2)/3?
2
Suppose 0 = -t + 5 + 4. Let w = 15 - t. What are the prime factors of w?
2, 3
Let n(z) = -376*z**3 - 5*z**2 + 1. What are the prime factors of n(-1)?
2, 3, 31
Let a be (-2 - -3 - 3) + 2. Let g(j) = -j + 5. Let u be g(a). Suppose -7 = 5*m - 2, -4*w + u*m + 69 = 0. List the prime factors of w.
2
Suppose f + 4*k + 16 = 0, f - 14 = -0*f + 2*k. Suppose 0 = 3*c + c - f. Let s = c - -1. List the prime factors of s.
2
Suppose 49*h + 530 = 54*h. List the prime factors of h.
2, 53
Let p(h) = 30*h**3 + h**2 + h + 1. Let l be p(-1). Let j = l - -17. Let v = -5 - j. List the prime factors of v.
7
Let p be (-282)/(-22) + 2/11. Suppose -2*v + i = 9, -v + 5*i = v + p. List the prime factors of (v/(-6))/(1/12).
2
Let n = 53 - -31. Let k = n - 49. What are the prime factors of k?
5, 7
Let d(g) = -8*g - 1. Let n be d(-2). Suppose 0*l = 3*l - n. Suppose 0*r = -r + l*i + 5, 4*i = 5*r - 88. What are the prime factors of r?
2, 5
Let t(l) = l**3 + 2*l**2 - 2*l - 1. Let w be t(-2). Let v(k) = -6*k + 2*k**2 - w*k**2 - k - 2. What are the prime factors of v(-4)?
2, 5
Let c = -7 - -17. What are the prime factors of c?
2, 5
Suppose -g = -4 + 2. Suppose -g*p - 3 = -1. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
*f = -65, 3*f - 28 = -2*k. What is the highest common divisor of k and s?
1
Let f be 485 + -30 + 3/1 + 1. Calculate the highest common factor of f and 27.
27
Let h = -10 + 12. Suppose 70 = 3*x + 5*v, -5*v - 110 = -h*x - x. Let o = -38 - -58. Calculate the greatest common factor of o and x.
10
Let p(t) = -10*t - 22. Let m be p(-10). Let i = -38 + m. What is the greatest common factor of i and 8?
8
Let r(w) = -w**3 + 6*w**2 - 2*w - 1. Let q be r(5). Suppose a + 77 = 12*a. Suppose -2 = -a*f + 96. What is the greatest common divisor of f and q?
14
Let n be (24/12)/((-2)/(-4)). Let v be 2 + -1*(n + -7). Suppose 3*f - 11 = -v*m, 3*f - 7 = 2*f - 5*m. What is the greatest common factor of 2 and f?
2
Suppose -10*b = -9*b - 5*i - 76, 73 = b - 4*i. Calculate the greatest common factor of b and 1037.
61
Suppose k + 2*b = -2*b + 47, 2*k - 110 = -4*b. Let h be 6 + (2 - 2 - -1). What is the greatest common divisor of h and k?
7
Suppose -3*a - i + 33 = 0, 0 = 2*a + 2*i - 32 + 6. Let z(g) = -g**2 - 17*g + 10. Let r be z(-12). What is the greatest common factor of r and a?
10
Suppose 3*l - 880 = -2*l. Let p be (980/42)/((-4)/(-6)). Let y be (1 - p/25)*-40. What is the highest common factor of l and y?
16
Suppose -16*b + 110 = -15*b - 5*s, s = -2. Let z = -48 - -88. What is the highest common divisor of b and z?
20
Let w(f) = -12*f - 612. Let i be w(-52). Suppose 2*x + 24 = 3*t, 39 = 4*t - 0*x - 5*x. Calculate the highest common factor of t and i.
6
Suppose 0 = 22*f - 5*f - 3060. Calculate the greatest common factor of f and 20.
20
Suppose 4*j = 2*n - n - 170, -6*n = 2*j - 1020. Calculate the greatest common factor of 442 and n.
34
Let l be 9 - -1 - (-10)/(-5). Suppose -8*w + 4*w = -l. Let n(m) = -m + 6. Let a be n(4). Calculate the greatest common divisor of a and w.
2
Let t = -21 + 51. Let a(p) = p**3 + 12*p**2 + 14*p + 24. Let i be a(-11). Let z be 12/i*(-5 - 4) + 3. Calculate the greatest common factor of t and z.
15
Let z be ((-288)/(-3))/(18/(-12)). Let i = z - -127. Calculate the greatest common divisor of i and 9.
9
Let b = -10 - -19. Let d = b - 4. Suppose 0 = s + 1 + 4, 4*z + d*s = 7. What is the highest common factor of 4 and z?
4
Suppose 0 = n + 3, o + 30*n - 35*n - 101 = 0. Calculate the highest common factor of o and 559.
43
Suppose 4*j + 10 - 144 = -2*f, -4*f = 5*j - 163. Suppose 0*t = -y - 3*t - 4, -3*y + 3*t = -48. Let d = j - y. What is the greatest common factor of d and 16?
8
Suppose -2*k = 9*j - 11*j - 6, -5*k = -3*j - 25. What is the greatest common divisor of 172 and k?
4
Let o(u) = u**3 - 5*u**2 + 6*u - 2. Let f be o(6). Let h = -56 - -63. Suppose -7 = -2*b + h. Calculate the highest common divisor of f and b.
7
Let r(x) = 2*x**2 + 12*x - 8. Let n be r(-9). Calculate the greatest common factor of 115 and n.
23
Let u = 23 + -74. Let x = u + 211. What is the highest common factor of 64 and x?
32
Let m(j) = -2*j + 25. Let y be m(9). Let k(t) = -t**2 + 18*t - 17. Let f be k(y). What is the greatest common factor of f and 10?
10
Let p be (90/(-12))/(1/(-2)). Let s be (-3 - p/(-10))*-60. What is the greatest common divisor of s and 10?
10
Suppose -5*x = 3*y - 41, 2 + 3 = 5*x. Let l(w) = -w**3 - 10*w**2 + 12*w + 23. Let p be l(-11). What is the greatest common divisor of y and p?
12
Let g = -27 + 48. Let k = -2 + g. Suppose -y + 2*o = y - 14, -5*y + o = -k. Calculate the greatest common factor of y and 2.
1
Let h(v) = 9*v - 57. Let j be h(17). Let s = j + -41. Suppose 0 = -3*b - 3*x + 5*x + 37, 0 = -4*x - 8. What is the highest common divisor of s and b?
11
Let b(r) be the third derivative of 20/3*r**3 - 8*r**2 + 0*r + 0 - 1/24*r**4. Let o be b(20). Calculate the highest common divisor of 20 and o.
20
Let k(l) = -l - 9. Let r be k(-6). Let a be -1 + r - -1 - -179. Suppose 6*b - 2*b - a = 0. Calculate the greatest common divisor of 11 and b.
11
Suppose -4*l - l + 15 = 0. Suppose -20 = 5*q, -3*x + 9 = -l*q - 3. Suppose 3*n + 19 - 55 = x. What is the highest common factor of 60 and n?
12
Let j(k) = -k**3 - 6*k**2 + 13*k - 9. Let u be j(-8). What is the highest common divisor of 48 and u?
3
Suppose -2*u - 3*u + 2*q = -65, 0 = -4*q. Suppose -10*w + 96 + 34 = 0. Calculate the highest common factor of w and u.
13
Let y be (0/(-3))/(-2 - -1 - -2). Suppose -5*v - 4*g = 3 - 0, y = -2*v - g. Calculate the highest common factor of 5 and v.
1
Let y = 330 - 298. Calculate the highest common divisor of 2 and y.
2
Suppose 83 = 5*n + 2*u, 5*n + 3*u - 82 = 5. Let b = n + -27. Let h = b - -28. Calculate the highest common divisor of h and 40.
8
Let p = 4047 + -2184. What is the highest common divisor of 27 and p?
27
Let t be (0/(-1) - -1)/(15/(-75)). Let l = t - -45. Calculate the highest common factor of l and 8.
8
Let g = -1570 - -1998. What is the highest common factor of 8 and g?
4
Let s = 1581 + -1569. What is the highest common factor of s and 68?
4
Suppose -5*m - 4*p + 1039 = 0, -m + 3*p = -p - 227. Calculate the greatest common factor of m and 1.
1
Suppose 5*r + 6 = 21. Suppose -65 = -r*q - 2*q. Let w(d) = d**2 - 4*d - 6. Let a be w(8). Calculate the greatest common factor of q and a.
13
Let h(u) = 3*u + u**2 + 0*u**2 - 1 + 3. Let t be h(-4). Suppose 4*p - 372 = -108. What is the greatest common divisor of t and p?
6
Suppose 51 = 4*i + 5*d, -4*i - d = -45 - 10. Calculate the highest common factor of i and 98.
14
Let r(g) = 2*g**3 - 16*g**2 + 4*g - 12. Let u be r(8). Calculate the highest common factor of 40 and u.
20
Let i = -287 - -368. What is the greatest common divisor of i and 9?
9
Let w(l) = -l**3 - 4*l**2 - 4*l + 21. Let y be w(-6). Let h be (1 + 1)/(-2)*-13. Calculate the greatest common factor of h and y.
13
Suppose 0 = 3*r - r - 4. Suppose -q + 18 = r*q. Let k = 540 + -510. What is the highest common divisor of k and q?
6
Let a(d) = -22*d - 1 - 13*d**2 + 8 + 10*d - d**3. Let n be a(-12). Let i be (3 - 4)/(2/(-2)). What is the highest common factor of n and i?
1
Let c be (2/(-3))/(30/(-1305)). Let u(v) = 257*v - 13. Let h be u(4). Suppose 4*k = -k + h. What is the greatest common divisor of k and c?
29
Let i = 137 - 132. Suppose i*h = 3*p - 0*p - 11, h - 3 = -2*p. Let x be ((-16)/6)/((-1)/3). Calculate the greatest common factor of x and p.
2
Suppose -5*p + 5*s + 10 = -5, -5*s = -4*p + 14. Let g(i) = 9*i - 175. Let f be g(20). Calculate the greatest common factor of f and p.
1
Let c = 1195 - 781. What is the greatest common divisor of c and 46?
46
Suppose -5*x + 15*x - 430 = 0. Suppose -x = -p + 109. Calculate the greatest common divisor of 38 and p.
38
Let m(y) = -32*y**3 + y**2 + 9*y + 8. Let h be m(-1). Let b(n) = 11*n + 30. Let t be b(6). What is the greatest common factor of t and h?
32
Let c be -4*(0 - 2)*5. Suppose -2*f + c = 3*s, -s + 5*f = 4*s - 25. Suppose 91 + 89 = 2*w. What is the greatest common factor of s and w?
10
Let n(x) be the first derivative of -3*x**4/4 - x**3/3 + x - 15. Let d be n(-1). Calculate the highest common factor of 24 and d.
3
Let u be (-2)/(-6)*-1 - 6748/(-84). What is the highest common divisor of 15 and u?
5
Let v(u) = u**3 - 11*u**2 - 2*u - 90. Let a be v(12). What is the highest common divisor of a and 20?
10
Suppose -2*k + 179 = 41. Let p be -1*(-50 - -3) - 1. Calculate the highest common divisor of k and p.
23
Suppose -2*i = 2*i - 120. Suppose 12 = -3*a + i. Suppose 5*s = -4*y + 100, -s - 135 = -a*s + 3*y. Calculate the highest common divisor of 12 and s.
12
Let l = 12 - 12. Let u(y) = 4*y + 11 + y**2 + 1 - 3*y. Let i be u(l). What is the greatest common factor of 12 and i?
12
Let k = 75 + -71. Let s be ((-6083)/k)/(-11) + 2/(-8). Calculate the highest common factor of 92 and s.
46
Let k = 18 + -15. Suppose -4*l + 16 = -7*h + 3*h, -h - k*l = -12. Suppose 4 + h = -4*t, z + t = 19. What is the greatest common factor of 4 and z?
4
Suppose 12*g = 1635 + 2301. Calculate the greatest common factor of 41 and g.
41
Let v be 7/49 - (-12)/14. Let b = v - -1. Suppose n = b*n - 23. What is the highest common divisor of n and 69?
23
Suppose -6*p = -2*p - 32. Let c = p + 1. Suppose -c*l + 4*l + 65 = 0. Calculate the greatest common factor of l and 52.
13
Let l be 105/(-315)*15*-1. Calculate the greatest common factor of l and 265.
5
Let q(t) = t. Let y be q(3). Suppose -4*x = 4*w - y*w - 717, -x = 4*w - 168. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
0*h) to l*h + f*h**2 + n + v*h**3 + t*h**4 and give t.
24
Rearrange -i - 255 - 72*i**2 + 89 + 88 + 79 to the form a*i + j + v*i**2 and give v.
-72
Rearrange i**4 + 2*i + 159*i**2 - 4*i**4 - 153*i**2 to the form k*i**2 + l*i + r + j*i**4 + o*i**3 and give j.
-3
Express -2 - 74*u**2 + 28*u + 66*u**2 + 22*u in the form h*u**2 + t + n*u and give h.
-8
Express 2 + 59*m - 3 + 2 + 0 - 246*m as i + l*m and give l.
-187
Express -33*i - 2*i**3 - 26*i**4 + 20*i**4 + 34*i + 33*i**2 in the form n*i + p*i**3 + k*i**2 + u*i**4 + h and give p.
-2
Rearrange 58413 - 430*m**4 - 58413 + (-2 + 2 + 2)*(5*m**4 - 3*m**4 - m**4) to the form d*m + k + w*m**2 + g*m**4 + y*m**3 and give g.
-428
Rearrange -u**3 + 28*u + u**3 + u**3 - 56 + 107 + 4*u**2 - 50 to a*u + f*u**2 + o*u**3 + w and give f.
4
Rearrange 41 + 336*f**2 + 36 - 77 + f to h*f**2 + i*f + v and give h.
336
Rearrange (3 - 6 + 0)*(-4*o**2 + 0*o**2 + o**2 + (0 - o + 0)*(22*o - 32*o + 33*o)) to w*o + k + f*o**2 and give f.
78
Express -200*b + 163*b + 432*b + 141*b as x*b + n and give x.
536
Rearrange -2*j**3 + 0*j + 0*j + 30*j**4 + 27 - 28 to the form n + w*j**2 + d*j**4 + l*j + r*j**3 and give n.
-1
Express -1 + 228583*d + 27*d**3 - 228583*d + (4 + 4 - 5)*(-2*d - 2*d**3 + 2*d) in the form r*d**2 + i*d + o + j*d**3 and give j.
21
Express (1 + 2 - 5)*(2*v + 4*v + 0*v) + (-5*v + v + 2*v)*(-5 + 1 + 1) as t + i*v and give i.
-6
Express -1 - o - o**3 - 5*o**4 - 3 - 6 + 11 in the form c*o**3 + l*o**2 + f*o + k + g*o**4 and give c.
-1
Express 155 + 19*g - 38*g + 168 + 20*g + 58 in the form r*g + k and give k.
381
Express (-1 - 1 + 4)*(1 + 2 - 4)*(59*j - 44*j + 55*j) in the form r + y*j and give r.
0
Express (2 + 0 - 1)*(-3*g - 4*g - 2*g)*(-148*g**2 + 2075*g - 2075*g) as u*g**3 + y + h*g**2 + r*g and give r.
0
Express ((0 + 4 - 1)*(5*a - a + a) - 4*a - 5*a + a)*(-2 + 2 + 2) as c + l*a and give l.
14
Rearrange -31*u - 2*u**2 + 6*u**3 + 31*u + (-16*u + 2*u - 13*u)*(-2*u**2 + 4*u**2 + 0*u**2) to w*u + k*u**3 + f*u**2 + b and give k.
-48
Express -26 - 12 - t**2 + 63 - 14 in the form i*t**2 + n*t + o and give i.
-1
Express -31 + 446*z + 80 - 25 - 24 in the form k + u*z and give u.
446
Express (5 + 3 + 0)*(71*k + 91*k - 53*k) as d*k + f and give d.
872
Rearrange 719*a**2 - 721*a**2 - 22*a**3 + 2*a + 19*a**3 + 30 to i + j*a**2 + d*a + q*a**3 and give i.
30
Express (-2*d - 4*d - 3*d)*(-2 + 1 + 0)*(-3 + 0 - 5) in the form u*d + m and give m.
0
Rearrange -u**3 + 2*u**3 + 5*u**3 + (3*u + u**2 - 3*u)*(-1 + 3 + 0)*(140*u - 263*u + 54*u) to the form p*u**3 + b + c*u**2 + h*u and give p.
-132
Rearrange (0*q + 0*q + 2*q**3)*(0*q + 7*q - q) - 132*q**2 + 132*q**2 + 18*q**4 to the form p*q + o + j*q**3 + d*q**4 + l*q**2 and give d.
30
Express 15*y**2 + 19*y**2 - 48*y**2 + 17*y**2 - 14*y - 3*y**3 in the form o*y**2 + b*y**3 + t*y + a and give t.
-14
Express 2*l + l + l + (-4 + 0 + 5)*(l - 5*l - 3*l) - 2*l + 8 - 2 - 8 in the form t + q*l and give q.
-5
Rearrange (-q**2 + 3*q**2 + 1 + 0)*(-14 + 3 + 3 + 20*q) to t*q**3 + i*q + l + v*q**2 and give i.
20
Express (-4 + 3 - 3)*(1 + 0 - 3)*(1 + 7 - 2)*(-3 - 3*p + 3 + (-3 + 2 + 0)*(-2 + 2*p + 2)) as a + h*p and give h.
-240
Rearrange -2*w**3 + w - w + (-3*w - w + 2*w)*(2*w**2 + 2 - 2) - 642*w**2 + w**3 + 640*w**2 - 5*w**3 - 92*w to the form k*w**2 + m + n*w + t*w**3 and give k.
-2
Rearrange 11*y + 42*y**2 - 129*y**2 - 2*y**4 + 39*y**2 + 35*y**2 to the form m*y**4 + a + l*y**2 + r*y + d*y**3 and give l.
-13
Rearrange 10*m**2 - 2*m**2 - 10*m**2 + 0*m - 77*m**4 - 3*m + 6 - 3 to r*m + n + c*m**2 + b*m**3 + j*m**4 and give j.
-77
Rearrange (17556959*f**3 - 4562*f**4 - 17556959*f**3)*(2 - 4 + 3) - 3*f**4 + f**4 + 4*f**4 to c*f**2 + g*f**3 + w*f + o + x*f**4 and give x.
-4560
Rearrange 2*n + 2 - 2 + (5 + 0 + 0)*(18*n + 4*n + 11*n) to x*n + r and give x.
167
Rearrange 59*b**2 + b + 5*b**2 + b + 38*b**2 + 50*b**2 to g*b**2 + z*b + r and give g.
152
Rearrange 12 - 40*v - 37*v + 22*v + 10*v to the form d + t*v and give t.
-45
Express -91*w**3 + 44*w**3 + 30*w**2 + 3*w**4 + 48*w**3 in the form i*w**4 + o*w**3 + c*w**2 + l + k*w and give o.
1
Rearrange (-66*i + 49*i + 91*i)*(-3 - 2 + 3)*(0*i**3 + i**3 - 3*i**3) to the form d*i + z + r*i**4 + k*i**2 + g*i**3 and give r.
296
Express -3*r**3 + 9*r**3 + 64*r + r**2 - 67*r as n + a*r**2 + q*r**3 + x*r and give x.
-3
Rearrange 234*i**2 - i + 242*i**2 - 502*i**2 to the form c + f*i + v*i**2 and give f.
-1
Express (2*i**2 - 3*i**2 + 0*i**2)*(5*i**2 + 54 - 54) - i**4 - 4*i**4 - 4*i**4 in the form m*i + n + f*i**3 + d*i**2 + u*i**4 and give n.
0
Rearrange -1579 + 3162 + 4*r**2 - 75*r**3 - 1583 to the form l + u*r**2 + k*r**3 + w*r and give k.
-75
Express (-22*j + 69*j - 26*j)*(1 - 5 + 2) + (-2 - 2 + 2)*(3*j - j - 3*j) in the form w*j + m and give w.
-40
Rearrange 51*l**2 - 9*l**2 + 82*l**2 + 62*l**2 to j*l + f + o*l**2 and give o.
186
Express k + 0 + 0 + 0*k - k - k + (-2 - 1 + 2)*(-3*k - k + 5*k) + k + k + 0*k - 5*k + 0*k - 3*k + (3 + k - 3)*(-2 + 4 + 1) in the form m*k + h and give m.
-5
Express (-35 + 252*t**2 - 251*t**2 - 67)*(-5*t + 4*t + 5*t) in the form h*t**2 + x*t + l + q*t**3 and give l.
0
Express (-2*p + p + 2*p)*(40*p + 89*p - 40*p) in the form b*p + u*p**2 + f and give u.
89
Express -2*l + 2*l - 3*l**3 + (5*l**2 + 2*l**2 - 5*l**2)*(l + 3*l - 2*l) + 2 + 2*l**3 - 2 - 16*l**3 + 11*l**3 - 36*l**3 as h + w*l**3 + b*l**2 + a*l and give w.
-38
Express (-422 + 151*u + 422)*(3 - 3 + 1)*(u + u + 3*u**2 - u**2) as d + r*u + x*u**3 + c*u**2 and give x.
302
Rearrange -5*g + 5*g - 2*g**2 - 76*g + 76*g + 14*g**2 + (0 + 3 - 2)*(-g**2 + 3*g**2 + 0*g**2) - g**2 - 5*g**2 + 5*g**2 to the form s*g + r + w*g**2 and give w.
13
Rearrange -4*h - 40*h**2 - 3*h + 5 + 42*h**2 + (-3*h**2 + 4*h**2 - 3*h**2)*(1 + 3 + 1) to the form o*h + b + k*h**2 and give b.
5
Express (5 + 0 - 2 + (-5 - 3 + 4)*(5 - 1 - 2))*(4*c - 2*c + c) + (-3 - 3 + 5)*(3 - 3 - 2*c) + 1 - 1 + 3*c as q*c + n and give q.
-10
Express 1 - 5 + 25*p + p - 44*p - 61*p in the form v + n*p and give n.
-79
Express (-2*y + 2*y - 4*y)*(48 - 48 - 14*y) in the form l + j*y + r*y**2 and give r.
56
Rearrange -792*c**2 - 7*c**2 + 197*c**2 to the form h + s*c + l*c**2 and give l.
-602
Rearrange 6*k**4 + 1 + 3*k - k - 17*k**4 - 287*k**3 + 285*k**3 to the form d + z*k**4 + p*k + v*k**3 + j*k**2 and give p.
2
Express 2*v**2 - 2*v**3 + 3 - 17 + 8190*v - 8190*v as z + h*v + q*v**3 + b*v**2 and give q.
-2
Rearrange 6*w**3 - 3*w**3 - 4*w**3 + (22243*w - 22243*w - 29*w**2)*(-w + w + w) + w**3 - w**3 + w**3 to the form o*w + r*w**2 + i*w**3 + n and give i.
-29
Express -266*t**4 + t**2 + 264*t**4 - 5*t + 2 + 5*t + 7*t**3 as g*t**2 + f*t + p + z*t**3 + o*t**4 and give g.
1
Express -10 - 4 - 2*h + 6*h**2 - 5*h**2 - 7 - h**3 + 15 in the form v*h**3 + z + x*h**2 + m*h and give x.
1
Express (-56*c - 51*c + 10*c)*(0 - 1 - 6) as b + j*c and give j.
679
Rearrange 0*h + 16 + 0*h - 16*h**2 + 28*h**2 + 48*h**2 to the form x*h + l + u*h**2 and give u.
60
Rearrange -546*n - 142 - 66*n**3 + 66*n**3 + n**2 + 2*n**4 + 66 + 74 to the form i + c*n**2 + w*n**4 + b*n + g*n**3 and give b.
-546
Rearrange (10 - 20 + 7 + 21)*(-3*k + 3*k + k**2) to the form z*k**2 + s + n*k and give z.
18
Express (8 - 19 - 22 - 3 + 5 + 0 + (3 - 4 - 1)*(-4 + 0 + 2))*(-l**2 - l**2 + l**2) as s*l + k + p*l**2 and give p.
27
Express (1 + 3 - 5)*(-2*q + 3*q - 2*q + (-1 + 0 + 0)*(-8*q - 3*q - 15*q) + 0*q + 3*q + 0*q) in the form z*q + m and give z.
-28
Express 41*d - 1383437 + 1383437 - 4*d**2 - 21*d**2 in the form x*d**2 + v*d + r and give x.
-25
Rearrange 7 - 2*r + 5*r - 4*r**2 + 1 - 9 to p + y*r + j*r**2 and give y.
3
Rearrange 24*y**3 + 2*y**4 - 7 + 2*y**2 + 3 + 3 to the form t*y**2 + x*y**3 + w + o*y**4 + b*y and give w.
-1
Express (2*h**2 + 5 - 5)*(-311*h - 352*h - 13*h + 65*h) in the form p + d*h + t*h**2 + u*h**3 and give u.
-1222
Rearrange -7*c**2 + 45 + 2 + 3*c**3 + 1 + 5*c**2 to the form i + h*c**2 + q*c + u*c**3 and give u.
3
Express (-3 + 3 - 2)*(1 - 5*r - 1) + 0*r + 2*r - 3*r - 2*r - 2*r + 3*r + 2*r - 2*r + 3*r + 0*r + 3*r - r + (-2*r + r + 0*r)*(0 - 2 + 3) as y*r + c and give y.
12
Rearrange (6*v + 13*v - 8*v)*(-1 + 1 - 3)*(-2 + 5 - 1 + (3 + 2 - 3)*(7 - 4 - 1) + 1 + 0 + 1 + 2 + 4 - 2) to g*v + o and give o.
0
Express -394*a + a**3 - 50*a**2 + 48*a**2 + 494*a in the form r
|
{
"pile_set_name": "DM Mathematics"
}
|
= 12, -5 = -2*c + 2*r + 3 for c.
4
Suppose -4 - 40 = 4*h. Let p = 15 + h. Solve 5*r + 2 = -p*l, 2*l + r + 6 = 4*l for l.
2
Let r be 5*1*11*(-18)/45. Let a be 24 + r - -1*6. Solve 0*k + 10 = 4*c - 5*k, 4*k + a = c for c.
0
Let d = 127 - 127. Solve u + d*x = -x + 3, -4*x = -20 for u.
-2
Suppose 4*a - 8 = k + 3, 0 = -3*a. Suppose -b - 4*z = -0*z + 5, -3*z = -b - 26. Let u = k - b. Solve 7*j = 3*p + 3*j + 10, 2*j = p + u for p.
2
Let l = 60 + -55. Suppose -4*g + 17 = s, 2*s + 0*s + 5 = l*g. Solve 0 = f - 2*f - g*q - 5, -5*q = 5*f + 15 for f.
-2
Let p = 0 + -2. Let u be 2/((-2)/p) - -3. Suppose 25 = 5*q + 4*a + 18, 3*q - 11 = a. Solve 4*k + 18 = q*c, k + 0*c + u*c - 7 = 0 for k.
-3
Suppose -84 = y - 3*y. Let v = -37 + y. Solve 0 = -w - 0*u - 3*u - 1, -3*u = 2*w + v for w.
-4
Let a(p) = -7*p + 9. Suppose v - 1 = -4*o, 4*o = o + v + 6. Let t be a(o). Solve 4*z + t*g + 16 = 0, -3*z + 0*g = -5*g - 1 for z.
-3
Let f(s) = -3*s - 17. Let a be f(-7). Suppose a = 3*r - 2. Solve p - r*n = -3*p + 4, -n = 2*p - 2 for p.
1
Let l(q) = -3*q - 11. Let d be l(-4). Suppose 3*w = 5*j + 51, -j - 9 = w - 2*w. Let i be 3*d + 36/j. Solve 4*t - 5*r + 1 = 0, 2*t + i*t - 3*r = 1 for t.
-4
Suppose -15 = 3*u - 3*z, 0 = 3*u - 5*u + z - 5. Suppose -5*j - 3*d - d = -11, 5*j + 5*d - 10 = u. Solve n = -3, -n - 3 = j*l - 5*l for l.
0
Suppose 4*g - 5*g = 3*f - 119, 5*f - 199 = -g. Solve i - f = -3*i + 5*d, -2*d - 8 = 0 for i.
5
Let v(c) = -c**2 - 47*c + 265. Let x be v(5). Solve 0 = -j + x, -5*o = -3*j + 32 - 2 for o.
-3
Let t(w) = w**3 + 7*w**2 + 4*w - 8. Let h be t(-6). Suppose s + 12 = h*s. Solve -3*v = j + s, -2*j - 2 = 3*v - 3 for v.
-3
Suppose 2*s = -2*c, -s + 6*s = c - 12. Suppose c*f - 40 = -2*f. Let j(g) = -20*g + 257. Let z be j(12). Solve -5*q - 15 = 5*b + f, 3*b + 4*q + z = 0 for b.
-3
Let d be (-6)/(6 + (-30)/4). Solve -d*k - o - 7 = k, 2*k - o = 0 for k.
-1
Let x be (-384)/15 - 6/15. Let d = 29 + x. Let l be 4 - -3 - (4 - d). Solve -r + l*r = -5*s - 20, -4*s - 9 = -3*r for s.
-3
Let d = 21 + -18. Suppose d*i - 74 + 65 = 0. Solve -3*k + 19 = -2*x, -2*k + i*k + 5*x = -5 for k.
5
Let k = 33 + -31. Let w be k - (-8 + (-8)/(-2)). Let y be w + -7 + 12/2. Solve 5*x = 2*u - 20, y*x - 5*u + 35 = -0*u for x.
-2
Suppose 5*m - 5*i = 0, 2*i = 5*m + 4*i. Suppose m = 5*r - 247 + 127. Solve k = 3*j + j + r, 2*j - 3*k + 22 = 0 for j.
-5
Let c(s) = 2*s + 4. Let f be c(-5). Let j be (-60)/8*4/f. Solve -10 = -3*z - q, -2*z = q - 3 - j for z.
2
Let z = 15 + -7. Let f be (-30 + 4 + -4)/(-2). Solve 3*q - 5*b = -f, 2*b + z = -4*q - 12 for q.
-5
Let t(w) = w**2 + w - 2. Suppose -5 = -5*k - 20. Let g be t(k). Solve 3*m - n = 2 + 2, 6 = 2*m - g*n for m.
1
Let w be (-168)/(-9) + (-1)/(-3). Let s(k) = 2*k + 11. Let j be s(-5). Let q be (0/3)/j - 0. Solve -a - 2*a - w = 5*c, -4*c + 3*a - 26 = q for c.
-5
Let f(u) = u**3 + 10*u**2 + 9*u + 3. Let r be f(-9). Suppose 10*v - r = 9*v. Solve -3*j = y - v*y - 3, 5*j - 5 = 3*y for y.
0
Let i be ((-1)/1)/((-20)/(-1100)). Let a be (i/33)/(-1 + (-2)/(-3)). Solve 0 = -2*r - 2*q + q - 7, 0 = -a*r + 5*q - 10 for r.
-3
Let s be (0*(-7)/49)/1. Solve -4*b + s*o = -o - 19, -3*b + 12 = -3*o for b.
5
Let w = -764 + 768. Solve -5*r - 13 = 3*z, -5*z - 3*r - w = 7 for z.
-1
Let t be (-1)/(4/(-8))*(-12)/(-24). Solve 2*m - 3*m + l - t = 0, 3 = 5*m + 3*l for m.
0
Suppose -x - 6 + 5 = 0, -16 = -2*n + 4*x. Solve -3*b = 2*q + 14, -2*q = -2*b - 0*b - n for b.
-4
Let z(w) = w**3 + 9*w**2 + 6*w - 7. Let h be z(-8). Let m = -2 + 5. Suppose -m*y = -3 - h. Solve y*d = 2*d - a, -3*d - 3*a = -6 for d.
-2
Let w(a) = -2*a**2 - a + 1. Let k be w(-4). Let o = 30 + k. Solve 0 = -3*g, -3*n - 7*g = -o*g + 12 for n.
-4
Let b be (-81)/(-24) - (-3 - 54/(-16)). Solve 0*i = -b*i + 2*g - 7, 3*g - 13 = 5*i for i.
-5
Let r(g) = -2*g - 7. Let d be r(-5). Let t be (-1130)/452 - (-26)/4. Solve 0 = -d*u - t + 19, -4*c = u - 9 for c.
1
Suppose -5*c - 2*k = -50, 12 = 4*c - 3*k - 28. Solve 3*t + 28 = 5*d, -c = t + 4*t - d for t.
-1
Let c be 5*8/140 + 1691/133. Solve -m - 2*m + 3*f = -15, -2*m = -3*f - c for m.
2
Let u be -40*(-4 - 152/(-40)). Solve -4*i + 21 = -h - 1, -4*h = u for i.
5
Let g be (-33 + 8)*(-4)/(-10). Let n be ((-6)/g)/((-8)/40). Let j = n - -7. Solve 5*f = -2*h - 8, -2*f + j*f + 4*h = 0 for f.
-2
Let x be ((-38)/8)/((2/2)/(-24)). Let h be 3/((-63)/(-6)) + x/42. Solve 0 = -h*o + u, -2*u + 2 = -4*o - 0*o for o.
1
Suppose -5*w = -4*d + 15, 3*w + 6 + 3 = -4*d. Let b(p) = -p**3 - p**2 + 3*p. Let a be b(w). Let f = -7 + a. Solve -t + 4*q = 0, f*t + 4*q + 6 = 18 for t.
4
Let n(b) = 2*b**2 + 9*b + 20. Suppose -16 - 4 = 2*d - 5*q, 5 = d + 5*q. Let v be n(d). Solve -5*o + 4*k = -v, -21 - 4 = -5*o - 4*k for o.
5
Suppose -2*w - 86 = 2*g, -2*w + 1 = -1. Let z = -39 - g. Solve 2 = -z*u - j, 3*u - 3*j + 6 + 6 = 0 for u.
-1
Let z = -19 + 83. Let s = -59 + z. Solve 2*k = -s*b + 33 - 7, b + 2 = 2*k for b.
4
Let g(n) = -n - 7. Let z be g(-14). Let b be (-3 + (-75)/(-21))*z. Solve 2 = 2*i - 2, -b*x - 22 = -3*i for x.
-4
Let j(o) = -1 - 2 - o + 4. Suppose -3*i - 6 = -4*l, 2*l + 2*l = 2*i. Let u be j(i). Solve 0 = 2*m + 3*q + 25, 4*m - u*m - 30 = 3*q for m.
-5
Let y(f) = -f - 6. Let m be y(-12). Suppose -6*j + 4*j = -m. Let h = 1 + 3. Solve -q - q = -5*b - h, -12 = j*b + 2*q for b.
-2
Suppose 0 = 881*n - 902*n. Solve 2*p + 17*s = 15*s - 6, p + 5*s + 3 = n for p.
-3
Suppose 7*q - 21 - 14 = 0. Let z(d) = -d**3 + 6*d**2 - 4*d - 5. Let k be z(5). Let r be (-84)/(-2)*(-2)/(-3). Solve k*o + r = -t + 5*o, o = q for t.
-3
Let y be 4 + (0 - -5) + 1*-1. Suppose -5*f + y = -12. Solve 2*q + 10 = f*r, q = -4*r + 3 - 2 for q.
-3
Let z be 20/8 + (-2)/(-4). Suppose z*c - 22 = -0*d - d, c = -4*d + 11. Solve 14 = -2*j - 4*s, c*j - 2*j = -3*s - 7 for j.
1
Let d = -304 + 306. Solve -4*y - 8 = 4*k, 4*y + 0*k - d = -2*k for y.
3
Let g(i) = i**3 + 16*i**2 - 16*i + 22. Let k be g(-17). Solve 4*c = 4*o + 20, -4*o + 0*c - k*c = 2 for o.
-3
Let h be 21/6 - 2/4. Suppose b = -u - h*b + 6, 0 = 4*u - 5*b - 3. Solve -t - 5*g = 24, u*g = 4*t - 0*t - 14 for t.
1
Let v = 23 + -21. Let f(j) = j + 4. Let g be f(-7). Let d be ((-9)/15)/(g/15). Solve k + 0*k - 4 = -v*i, d*k = 3*i + 3 for k.
2
Suppose 3*w + 0 = 9. Solve -4*n - w*d = 14, 3*d = 2*n - 0*d + 16 for n.
-5
Let i(k) = k + 2. Let q = -27 + 27. Let r be i(q). Solve 4*n = -2*m - 10, m + r*m + 15 = -2*n for m.
-5
Suppose 3*t - j - j = -1, 5*t + 3*j = 11. Suppose -2 - t = -3*w. Let o be (-3)/w - -2 - -4. Solve -2*n = -2*d - 4, 0 = d + o*d - 2*n + 8 for d.
-2
Let j(k) = k + 13. Let v be j(-2). Suppose -2*a - 4*z + 26 = 0, 5*a + 6*z = v*z + 5. Solve -o = -a*d - 8, 2*o = -4*d - 0*d + 2 for d.
-1
Suppose f + 12 = -4*m, -2*f - 28 = 5*m - 13. Let c = 74 - 68. Suppose c*x - 3*x = f. Solve k + q = -3, 3*q + 1 + 11 = x for k.
1
Let u(c) = c + 6. Let i = -112 - -109. Let h be u(i). Suppose -5*g - 2*y = -10, 6*y - y = -2*g + 4. Solve -5*l - 23 = -2*l - g*a, h = l + 2*a for l.
-5
Let x = -353 - -357. Let g be (-7 - 1)*8/(-16). Suppose -4*v + 7 + 1 = 0. Solve 0 = g*f - 2*j - 8 - v, x*j - 20 = 0 for f.
5
Suppose -49 - 49 = -7*q. Solve 5*z - q = -t, -3*t - 2*z + 0*z = -16 for t.
4
Suppose 0 = 4*a - 43 - 57. Suppose -5*h + 0*h + 10 = 0. Let r be 0/((-6 + 3)/(-3)). Solve r = z - 3*d + 15, h*z + 0*d - 5*d = -a for z.
0
Suppose 6 = 2*q + c, 0 = -0*c - 3*c + 6. Solve -3*y + i = q*i - 12, 3*y + 5*i - 12 = 0 for y.
4
Let x(n) = n - 19. Let h(i) = 1. Let o(v) = -5*h(v) - x(v). Let b be o(11). Solve b*j = 3*r - 30, -35 = 4*j - 4*r + r for j.
-5
Suppose 2*r = -d - 1, 5*r + d + 12 = 17. Solve -12 = -4*o - r*i, -o - 3*i + 7 = 4 for o.
3
Let v(h) = -h**3 + 3*h**2 + 19*h - 38. Let d be v(5). Solve b - d = -m, 3*m + b - 15 = -0*b for m.
4
Let r(v) = v + 21. Let a(t) = 1. Let l(b) = -6*a(b) + r(b). Let u be l(-7). Solve q = 2*y - 0 + 6, 2*q - 3*y = u for q.
-2
Let y = 105 - 64. Let a = y - 36. Solve 3*j = 5*m - 6 - a, 7 = -5*j - 3*m for j.
-2
Let z(h) = h**2 - h + 4. Let a be z(0). Let n be a/6*(0 + 6). Suppose 4 = 4*p - n. Solve p*k + 3*v = 10, 0*k + 5 = k - 5*v for k.
5
Suppose 5*p = 3 + 7. Suppose 5*t - 4*t + 2*i = -5, -t + i + 1 = 0. Let d be p - (0 + t + -1). Solve 0 = -d*g + 5*b + 20, 5*b + 20 = -2*g - 2*g for g.
0
Suppose -b = -9 + 5. Suppose -b - 1 = -r. Solve -5*t - 4*l = 32, -4*t + r*l + 3 = -t for t.
-4
Let w(
|
{
"pile_set_name": "DM Mathematics"
}
|
alse
Let c(l) = 107 - 35 + 10 + 7*l**2 + 72 - 18*l. Is c(23) composite?
True
Let d(v) = 1770*v - 1793. Is d(12) prime?
True
Let i = -32748 - -82667. Is i composite?
False
Suppose -46*b + 3 = -45*b. Suppose 5*o = -i + 8*o + 639, 2*i = b*o + 1272. Let u = 1418 - i. Is u a prime number?
False
Suppose 5*d - 137 = -2*a, 4*a - 6*d - 204 = -2*d. Suppose -i + 26619 = 5*n, -4*i - 26599 = -61*n + a*n. Is n prime?
True
Suppose 2*f - 11302 - 193492 = 0. Is f composite?
False
Suppose b - 58067 = 2*j - 1078091, -3*b = -3*j + 1530030. Is j composite?
True
Let u(t) = 17*t**3 + 5*t**2 + 4*t + 5. Suppose l - 4 = -2*o + 4, 4*l - 27 = -3*o. Is u(l) composite?
False
Let y(h) = -h**3 + 4*h**2 + h - 2. Let d be y(4). Suppose -3*q - g = -13, g + 0 + 7 = d*q. Suppose 5*n - q*n = 419. Is n a prime number?
True
Let x(t) = 60*t**2 - 5*t - 7. Suppose 2*r - 9 = -4*c + 19, -4*r = 16. Suppose -2*h + c + 7 = 0. Is x(h) a composite number?
False
Let o be (-54)/(-10) - (-24)/40. Is 3*26948/18*9/o a prime number?
True
Suppose -2*t + 6*t + 2*i - 568 = 0, 2*i + 296 = 2*t. Let s = t + -668. Let f = s + 831. Is f a prime number?
True
Let b(q) = 2386*q + 663. Is b(61) composite?
True
Suppose -2*q + 3*a + 2 = -11, 4*q - a - 11 = 0. Suppose -q*z = 3*i - 2393, -4*i - 4*z + 3566 = 378. Is i composite?
True
Let h = 151604 - 66913. Is h composite?
False
Let g = -13573 - -60672. Is g composite?
True
Let c = -45 - -527. Let g = 2240 - 2236. Suppose v = 5*p - 11545, -p + 1827 = -g*v - c. Is p a prime number?
True
Let v(q) = q**3 + 3*q**2 - 7*q + 77449. Is v(0) a composite number?
True
Let m(k) = 23*k**2 - 83*k + 1871. Is m(45) prime?
True
Let s(a) = -16*a**3 - 7*a**2 - 85*a - 41. Is s(-7) a composite number?
True
Let i(h) = -10 + 3 + 0 - 16 - 531*h. Let y be i(-5). Suppose 3*x = -5*j + y, 2*j - 4*x = 256 + 802. Is j composite?
True
Let u(a) = -28707*a + 726. Is u(-3) a composite number?
True
Let r(s) = -2*s**3 - 27*s**2 - 14*s + 16. Let p(g) = g**2 - 17*g - 19. Let d be p(17). Is r(d) composite?
False
Let b(d) = 1300*d + 88. Let r be b(-20). Is r/(-36)*3 + (-3)/9 prime?
False
Let t = -47 - -51. Let u(r) = 3 - t*r + 4*r + 886*r**2 - 2. Is u(1) composite?
False
Suppose -9*i - 18*i = -3375. Suppose -i*f + 124*f = -1114. Is f composite?
True
Let z(d) = -d**3 - 6*d**2 + 3*d + 7. Let a = 16 - -2. Let b be 9/a - (-38)/(-4). Is z(b) a composite number?
False
Let g = -1294847 + 1930204. Is g a prime number?
False
Suppose 0 = 3*t + 6, 0*m = -m + 2*t - 39. Let d = m + 40. Is d*(0 - (-268)/(-6)) a prime number?
False
Let k be (-4)/(-10) + 416/(-65). Let i be (-4317)/(-9) + (-8)/k. Let j = i - 276. Is j composite?
True
Let x be 96400/12 - (-15)/9. Let d = -4394 + x. Is d prime?
False
Suppose 7*i = 49334 - 18030. Let v(y) = 5*y - 26. Let l be v(6). Suppose -4 = -5*n + 1, -i = -l*w - 4*n. Is w a composite number?
False
Is (-18 - -9) + (25 - -22821) composite?
True
Is 800973/36 + 1/(-4) prime?
False
Let p(u) = 18*u**2 + 29*u + 138. Let y(h) = -14*h**2 - 29*h - 139. Let f(q) = 5*p(q) + 6*y(q). Is f(-14) prime?
False
Suppose 0 = 4*u + u + 30. Suppose 0 = -5*x - 20, -4*i - 2*x + 132 = 2*x. Let g = i + u. Is g prime?
True
Suppose 4*v - 88 = -0*v + 4*m, 3*v + 2*m = 46. Let x = 103 - v. Suppose -633 = -x*j + 82*j. Is j composite?
False
Suppose -76 = -21*v + 8. Suppose -y = r - 488, 0 = y - v*r + r - 508. Is y prime?
False
Let v be 2/((56/12)/7). Suppose 0 = 4*f - v*f + l + 5, 0 = 5*f - l - 5. Suppose f = 4*s - 8025 + 301. Is s a composite number?
False
Let i = 7 + -13. Let p(z) = -2*z**2 - 11*z + 12. Let t be p(i). Is (-21 + -1)*((-183)/t - -1) a composite number?
True
Let v = 102 - 89. Suppose 16*t = v*t + 12681. Is t a composite number?
True
Suppose -138427 = -2*p + 431960 + 76351. Is p composite?
False
Suppose 3*k + 8127 = -0*k. Let a = -9543 - -13366. Let l = k + a. Is l a composite number?
True
Let u(a) = a**2 - 4*a - 16. Let m be u(8). Let o = 9 + m. Suppose 0 = 14*f - o*f + 11891. Is f a composite number?
True
Let s be (-29188)/(-2)*(-165)/(-66). Let c = 61144 - s. Is c a composite number?
False
Suppose 908*v = 903*v + 1533635. Is v composite?
False
Let n(m) = -3*m**2 - 8*m - 6. Let u be n(-2). Is (-839)/2*1*u prime?
True
Suppose 8186*o - 8182*o - 349172 = 0. Is o a prime number?
True
Let s be (3 + 25134/9)/(1/3). Suppose 5*n = -2*u + s, n + 2*n + 2*u = 5029. Suppose -t + 191 - n = -3*p, -5*t = p - 512. Is p composite?
True
Let p(n) = -769 - 3*n**2 + 8*n - 2*n + 778. Let w be p(3). Suppose -2*y + 21 + 7 = w. Is y a composite number?
True
Let v(t) = 54*t**2 - 7*t - 4. Let i be -5*(3 + (4 - 9)). Let f be (-26)/6 + i/(-15). Is v(f) a prime number?
True
Let l(b) = b**3 + 8*b**2 + 6*b - 8. Let t be l(7). Let x = 42 + -34. Suppose x*n - 9*n = -t. Is n composite?
False
Suppose 5*y = -25 - 20. Let n(i) = i**2 + 3*i - 57. Let p be n(y). Is p/(-5) + 7004/10 a prime number?
True
Suppose 0 - 80 = -5*i. Suppose i*q = 11*q. Is 2620 + (-3 - q) - 2 a prime number?
False
Let x = 61 - -7. Let q(l) = 16*l - 91. Let a be q(20). Let t = a - x. Is t composite?
True
Suppose -3*d + 4*z + 666 = 2662, 0 = 2*d - 4*z + 1332. Let n be d - 6/3 - 3. Let g = -376 - n. Is g prime?
True
Let u be 6/(-9) + 112920/9. Suppose 0 = 7*t + 2*t - u. Let v = 3551 - t. Is v a prime number?
False
Let n(o) = o**3 + 14*o**2 - 2*o + 2. Let x = 58 - 72. Let l be n(x). Is 20495/l - 2/12 prime?
True
Suppose 5*i + 26637 = 4*j, -i - 3 = 2. Suppose 15*k - 26992 = j. Is k composite?
False
Let l = 256899 - 39712. Is l a prime number?
False
Let j(y) = -56*y + 5413. Is j(-69) a prime number?
True
Let j(m) be the second derivative of -m**5/10 + 17*m**4/12 + 4*m**3/3 + m**2/2 - 21*m. Let l be j(9). Is (10/l)/(-5) + (-8211)/(-4) composite?
False
Let d(o) = -8*o - 9. Let z be d(-2). Let q(b) = -b**2 + 7*b + 4. Let r be q(z). Is (2 - 1)*r/((-8)/(-894)) a prime number?
False
Suppose 7563792 = 33*f + 2731041. Is f a prime number?
False
Let s = 85056 + -60617. Is s prime?
True
Let s(z) = 389*z + 97. Let o(r) = 194*r + 48. Let v(b) = -5*o(b) + 3*s(b). Suppose -2*g = 2*i, -2*i - 5*g = -3 + 15. Is v(i) prime?
True
Let r be -1 + -5 - (-125 - -8). Suppose 222 = 2*j - 4*b, -3*j - 3*b = -4*j + r. Is j a prime number?
False
Let j be 3/(0 - (-3 + 4)) + 3. Suppose 4*v - 13 = k, -2*v - 3*k - 2*k - 21 = j. Suppose h = 2 - 1, u - v*h - 56 = 0. Is u composite?
True
Let t(g) = -47*g**2 + 3*g - 5. Let u be t(6). Let a = 3238 + u. Is a a composite number?
False
Suppose 6354535 = 369*u - 214*u. Is u prime?
False
Let n(u) = 845*u**2 - 16*u - 5. Let a be n(6). Suppose 0 = l + 5*g - 5037, -2*g = 5*l + 5226 - a. Is l a prime number?
False
Let v be -4 + (-60)/(-16) - (-430830)/24. Suppose -4*j + 3*j + v = 4*g, -5*g + 22430 = 3*j. Is g prime?
False
Let v = -424943 + 817432. Is v prime?
True
Suppose 2*l + 0 - 8 = 0. Suppose -l*u + 29 = -h, 4*h + 2*u = -u - 21. Is 2/h + (-1048)/(-18) - 1 a composite number?
True
Suppose j - 5 = b - 29, 2*b = -5*j + 55. Suppose b*h = 42*h - 55607. Is h a composite number?
False
Let b(f) = 31*f**3 - 4 + 0*f - 3*f**2 + 5*f + 10*f - 4*f + 0*f**2. Is b(7) a composite number?
False
Suppose 0*c - 2*c - 4*x - 42 = 0, -c = 4*x + 17. Is (4 - -8701)/(c/(-10)) a composite number?
True
Let s(g) = -1088*g**3 - 5*g**2 + 10*g + 94. Is s(-5) a prime number?
False
Let x(t) = -28272*t**3 + t**2 - t + 1. Is x(-2) a composite number?
False
Let f be (-20)/(-30) - 265258/(-21). Let y = f + -5673. Is y a prime number?
True
Let p = 40 + -35. Suppose y - 15458 = -2*q + p*y, 0 = 2*y + 8. Is q a composite number?
True
Suppose -73*g = -15793420 - 9723657. Is g a prime number?
False
Suppose 265*q = 225*q + 305560. Is q prime?
True
Let v(x) = 5656*x - 47. Is v(3) a composite number?
False
Is 108830/4*(-210 - -212) composite?
True
Suppose 643907 = -14*w + 6536493. Is w a composite number?
False
Let c(k) = -2*k + 1477. Let m be 2 + 1 + 4 + -17 + 13. Suppose r + 2*r = -m*r. Is c(r) a composite number?
True
Let x(s) = s**3 + 4*s**2 - s - 4. Let v be x(-4). Let g(l) = -5*l - 25. Let k be g(-7). Suppose k*c - 5*c - 2095 = v. Is c a composite number?
False
Suppose 2*w = -2*m + 210758, 5*m - 510593 - 16294 = -w. Is m composite?
True
Let t = 111 + -109. Is (-5 - -9)/(t/2609) composite?
True
Suppose 4*m - 167661 - 27967 = 0. Is m composite?
False
Let m(y) = 943*y**3 + 7*y**2 - 7*y + 51. Is m(4) a pri
|
{
"pile_set_name": "DM Mathematics"
}
|
93*x**3 + 238*x**3 + x.
670*x**3 - 8*x
Collect the terms in -44413*j**2 - 130392*j**2 + 174802*j**2.
-3*j**2
Collect the terms in -8*z - 104573*z**2 + 52292*z**2 + 8*z + 52281*z**2 + 91*z**3.
91*z**3
Collect the terms in 53 - 471*y + 2328*y - 473*y - 463*y - 461*y - 478*y.
-18*y + 53
Collect the terms in -43 + 7 - 606955*b**2 + 36.
-606955*b**2
Collect the terms in -1780*z**3 - 1757*z**3 - 1749*z**3 + 5314*z**3.
28*z**3
Collect the terms in -244349 + 244349 + 88*s**3 - 994*s**3.
-906*s**3
Collect the terms in 34 - 74 - 249*a**2 + 19 + 252*a**2 + 21.
3*a**2
Collect the terms in -245149659 + 245149659 + 42*h**3.
42*h**3
Collect the terms in -3*d + 1204 - d**2 + d**2 + 4*d**2 + 2*d.
4*d**2 - d + 1204
Collect the terms in 10*x - 4 - 259*x + 5*x + 220*x + 18*x + 4.
-6*x
Collect the terms in 0*p - 107 - 24*p - 30*p.
-54*p - 107
Collect the terms in -609*l**2 + 873*l**2 + 352*l**2 + 1746*l**2.
2362*l**2
Collect the terms in -993*q + 158*q - 696*q - 1870*q - 178*q.
-3579*q
Collect the terms in -10*x + 2885 + 24*x + 181*x**2 - 14*x - 2881.
181*x**2 + 4
Collect the terms in -251*r - 194*r + 0 + 0 + 693*r + 60*r.
308*r
Collect the terms in -30110 - 30120 + 122*q + 90348 - 30118.
122*q
Collect the terms in 143*n - 17 + 150*n - 600*n + 55 + 150*n + 153*n.
-4*n + 38
Collect the terms in -121*i**2 + 109*i + 39*i**2 - 369*i + 79*i**2 - 2.
-3*i**2 - 260*i - 2
Collect the terms in 277*b**3 - 16996*b**2 + 8504*b**2 - 48*b**3 + 149*b**3 + 8492*b**2.
378*b**3
Collect the terms in 638*v + 550*v - 1547*v.
-359*v
Collect the terms in -360489464976 + 360489464976 + 3*q**2.
3*q**2
Collect the terms in 1402*u**3 - 571 + 1113*u**3 + 571.
2515*u**3
Collect the terms in -42*p**3 + 5*p**3 - 18*p**2 + 85 + 18.
-37*p**3 - 18*p**2 + 103
Collect the terms in 21*u**3 - 155826415154*u**2 + 155826415154*u**2.
21*u**3
Collect the terms in 226 - 817 + 5*u**2 + 228 + 233 + 130.
5*u**2
Collect the terms in -14*v - 11152 + 29*v + 3*v**2 - 15*v.
3*v**2 - 11152
Collect the terms in 587*h + 1344*h + 621*h.
2552*h
Collect the terms in -1478*h - 24 + 40 - 13.
-1478*h + 3
Collect the terms in -560*y**2 - 14*y**3 + 557*y**2 + 84 + 157 + 8*y**3.
-6*y**3 - 3*y**2 + 241
Collect the terms in -165*c - 412507*c**2 + 412510*c**2 + 165*c.
3*c**2
Collect the terms in -32*w**2 - 40*w**2 - 138443 + 276883 + 105*w**2 - 35*w**2 - 138440.
-2*w**2
Collect the terms in -24493 + 6119 + 6104 + 6122 + 6128 + 8*w.
8*w - 20
Collect the terms in 345*c - 185*c - 293*c - 144*c - 234*c.
-511*c
Collect the terms in -3 + 20358*g**3 + 1 + 2.
20358*g**3
Collect the terms in 30 - 31 + 86*v**3 + 729*v**3.
815*v**3 - 1
Collect the terms in 42 + 10939*v - 25 - 17.
10939*v
Collect the terms in 1164*k**2 + 9*k**2 + 1083*k**2 - 57*k**2 + 1793*k**2.
3992*k**2
Collect the terms in -290676*c**3 - 276507*c**3 + 148560*c**3.
-418623*c**3
Collect the terms in 142 - 623*k**3 + 3276*k**3 - 142.
2653*k**3
Collect the terms in 4*o**2 - 406*o**3 - 388*o**3 - 83*o**3 + 110*o**3.
-767*o**3 + 4*o**2
Collect the terms in -35649 + 3*b - 35938 + 71867.
3*b + 280
Collect the terms in -3 - 20 - 5 - 2*x - 10 + 50 + 3.
-2*x + 15
Collect the terms in -3 + 107*g**3 - 24495*g + 24495*g.
107*g**3 - 3
Collect the terms in 1703491 - 24*i**2 + 5*i**2 - 851720 - 851771.
-19*i**2
Collect the terms in -354*q**2 + 1086*q**3 - 302*q**2 + 656*q**2.
1086*q**3
Collect the terms in 18*y - 14*y - 11*y - 13*y - 7*y**2 - 9*y - 12*y + 36*y.
-7*y**2 - 5*y
Collect the terms in -118*z**2 - 13050*z**2 - 18162*z**2.
-31330*z**2
Collect the terms in 978*p + 966*p + 980*p + 972*p + 973*p + 983*p - 5853*p.
-p
Collect the terms in 58*m - 12*m - 249*m + 60*m + 84*m + 63*m.
4*m
Collect the terms in 330 + 162 - 7*t**2 - 110 + t**2.
-6*t**2 + 382
Collect the terms in -24*h + 521 + 224*h + 76*h.
276*h + 521
Collect the terms in 44*n - n**2 - 23*n + 38*n - 162.
-n**2 + 59*n - 162
Collect the terms in 130569*n - 130563*n - 520 + 476.
6*n - 44
Collect the terms in -9*t**2 + 48*t**3 - 18*t**3 + 64*t**3.
94*t**3 - 9*t**2
Collect the terms in 28 - 41889*m - 40450*m - 28.
-82339*m
Collect the terms in -239561*x**2 - 156931*x**2 + 5454820*x**2.
5058328*x**2
Collect the terms in 852*o + o**2 - o**3 + 793*o - 1504*o.
-o**3 + o**2 + 141*o
Collect the terms in -251856*r**2 + 83845*r**2 + 83751*r**2 + 83909*r**2.
-351*r**2
Collect the terms in 23 - 5*u**2 + 4*u - 12 - 9 - 13*u**2.
-18*u**2 + 4*u + 2
Collect the terms in 14 + 6*q - 92*q**2 + 153*q**2 + 205*q**2 + 10*q.
266*q**2 + 16*q + 14
Collect the terms in 1553*t + 195*t + 674*t + 1918*t + 1874*t.
6214*t
Collect the terms in 10595*s**2 + 652*s**2 + 4349*s**2.
15596*s**2
Collect the terms in 19*y**3 + 15*y**3 - 87*y**3 - 120*y**3 + 7*y**3.
-166*y**3
Collect the terms in 103479 + 103477 - 310433 + 24*x**2 + 103477.
24*x**2
Collect the terms in 122 - 262 + 146 - 5*x.
-5*x + 6
Collect the terms in 2 - 308*h + 3 + 98*h + 224*h - 6 + 69*h.
83*h - 1
Collect the terms in -348 - 371 + 2*j + 1057 - 527.
2*j - 189
Collect the terms in -4489640*r - 4489623*r + 13468869*r - 4489568*r.
38*r
Collect the terms in 1335203*u**3 + 1335194*u**3 - 4005613*u**3 + 1335195*u**3.
-21*u**3
Collect the terms in 5940001468*i - 5940001468*i - 4*i**3.
-4*i**3
Collect the terms in 550153*l**2 - 833617*l**2 + 971308*l**2 + 3145881*l**2.
3833725*l**2
Collect the terms in -96*c - 100*c + 121*c + 68*c + 10 - 4.
-7*c + 6
Collect the terms in -929645 - 9*w**2 + 2*w**2 + 929646.
-7*w**2 + 1
Collect the terms in -4792 - 1660 + 979 + 621 - 1160 + g.
g - 6012
Collect the terms in 78 + 163 - 518 + 75 + b**3 + 112.
b**3 - 90
Collect the terms in 23045866*c**3 + 0 + 0 - 23045631*c**3.
235*c**3
Collect the terms in 3595*c + 4361*c + 1042*c + 1331*c.
10329*c
Collect the terms in 63*l**3 + 4*l - 171*l**3 + 0*l + 9*l**2 + 65*l**3 + 52*l**3.
9*l**3 + 9*l**2 + 4*l
Collect the terms in 1129846*q**3 - 376616*q**3 - 376617*q**3 - 376609*q**3.
4*q**3
Collect the terms in 42*w - 260*w - 156*w - 217*w - 16*w.
-607*w
Collect the terms in 55721*j**2 + 11924*j**2 - 14511*j**2.
53134*j**2
Collect the terms in 3334691*m**2 + 3332894*m**2 - 6667582*m**2.
3*m**2
Collect the terms in -1661*t**2 - 2222*t**2 - 853*t**2 + 0 + 0.
-4736*t**2
Collect the terms in -2*h**2 + 5136 - 4065*h**3 - 2570 - 2566.
-4065*h**3 - 2*h**2
Collect the terms in -127 - 146558*p + 6*p**3 + 146558*p.
6*p**3 - 127
Collect the terms in 245*c - 392*c + 578*c**2 - 577*c**2 - 273*c.
c**2 - 420*c
Collect the terms in -43845*x + 132028*x - 44342*x - 43827*x.
14*x
Collect the terms in -1120 + 13*j**2 + 1120 - 6*j**2 - 4*j**2 + 3780*j**3 - 3767*j**3.
13*j**3 + 3*j**2
Collect the terms in -1136*s - 2846*s + 275*s - 323*s + 260*s.
-3770*s
Collect the terms in 31398412*x - 31398412*x - 31 - 35*x**2 + 31.
-35*x**2
Collect the terms in 3 + 9*w**2 + 7328*w + 0 - 7328*w.
9*w**2 + 3
Collect the terms in -2724617298*n + 2724617298*n - 33*n**2 - 1 + 3.
-33*n**2 + 2
Collect the terms in -1502 + 2970 + 20*d**2 - 13*d**2 - 5*d - 2*d - 1468.
7*d**2 - 7*d
Collect the terms in -r + r + 2*r - r + 11972*r**3 - 2*r.
11972*r**3 - r
Collect the terms in 79*l**2 - 3*l - 1105*l**3 + 14*l**3 - 79*l**2 + 3*l.
-1091*l**3
Collect the terms in 172500762*n**2 - 86250326*n**2 - 86250434*n**2.
2*n**2
Collect the terms in 101883503*a**2 - 1095*a - 101883506*a**2 + 1095*a.
-3*a**2
Collect the terms in -301 + 0*l**2 + 3*l + l**2 + 135.
l**2 + 3*l - 166
Collect the terms in 945*b - 1778*b + 485*b - 6019*b - 6634*b.
-13001*b
Collect the terms in 1871*q - 82*q**3 - 945*q - 926*q.
-82*q**3
Collect the terms in 645*f - 3*f**2 + 650*f + 672*f + 652*f - 2326*f - 293*f.
-3*f**2
Collect the terms in 6355*n + 1256105 - 1256105.
6355*n
Collect the terms in -139559216*c - 1 + 1 + 139559212*c.
-4*c
Collect the terms in 9688560*l + 9688548*l + 9688558*l - 29065657*l.
9*l
Collect the terms in -4*u - 14669 - 3893 - 19595.
-4*u - 38157
Collect the terms in -226 + 412*x**3 + 131 - 822*x**3 + 408*x**3.
-2*x**3 - 95
Collect the terms in 35035137 + 213*s - 35035137.
213*s
Collect the terms in 9400*z + 31 - 4675*z + 17*z**3 - 4728*z.
17*z**3 - 3*z + 31
Collect the terms in -15081*r**3 - 47425*r**3 - 68613*r**3.
-131119*r**3
Collect the terms in -274317471 + 274317471 + 41*a**2.
41*a**2
Collect the terms in -3 + 1558657*y + 1417364*y + 1.
2976021*y - 2
Collect the terms in -9*z**2 + 411941
|
{
"pile_set_name": "DM Mathematics"
}
|
.
18
Let i = 9862 + -502913/51. What is the common denominator of 17/15 and i?
255
Let t be (-294)/(-4)*(-48)/18. What is the common denominator of 3 - t/(-48)*(-93)/(-63) and 23/12?
36
Let y be ((-298)/3052 - (-4)/14)*2. Let g = y + -9052/16241. Calculate the common denominator of g and 53/6.
894
Find the common denominator of 53/108 and 8/40*(-190)/66.
1188
Let i(v) = 21*v**2 - 9*v - 4. Let z be i(4). Let j = 571/2 - z. Calculate the common denominator of j and -59/10.
10
Suppose 0 = -9*h + 2*h + 14. Let d = 15 - 9. What is the smallest common multiple of d and h?
6
Let a(c) = -c**2 + 2*c + 5. Let u be a(3). Let k be (12/(-8))/((-6)/40). What is the smallest common multiple of 4 and k + u*(-1 - -2)?
12
Find the common denominator of ((-10)/(-15))/(72/(-1863)) and -59/24.
24
Suppose 29 = -2*i - y, -5*y - 53 = 4*i - 8*y. Let b = i + 20. Let x = -8 + 11. Calculate the least common multiple of b and x.
6
Let c = -359/6 - -169/2. What is the common denominator of -33/17 and c?
51
Let o = 4959/28 - 1385/7. Find the common denominator of o and 26/12*42/20.
20
Let j(q) = -q**3 - 6*q**2 + 2*q. Let h be j(-6). Let b = 22 + h. Calculate the lowest common multiple of 11 and b.
110
Suppose 10*x + 3*l = 7*x + 666, -4*x - l + 897 = 0. Calculate the lowest common multiple of 6 and x.
450
Let p be (-170)/(-3) + (-14)/21. Suppose -4*z + p = 8. What is the least common multiple of z and 78?
156
Let u = -33 - -36. Suppose l + 92 = -u*l. What is the common denominator of 28 and l?
1
Let z be 632/(-24)*-3*1. Suppose -j = -4*p - 42, -4*j + 19 = -2*p - z. What is the smallest common multiple of 16 and j?
176
Find the common denominator of (-153)/(-20) + (-21)/3 and 151/12.
60
Let s = -328 + 349. What is the lowest common multiple of 140 and s?
420
Let d be 2/(-4)*2 - -4. Suppose 7 = 4*f - d*f. Calculate the smallest common multiple of 2/((-4)/6) + 7 and f.
28
Let l(w) = -w**3 + 2*w**2. Let r be l(2). Suppose v - 8 = -r. What is the least common multiple of v and 110/(-2)*(-4)/10?
88
Let q(v) = -v**3 - 5*v**2 - 5*v - 3. Let j be q(-3). Calculate the lowest common multiple of 7 and 3 + 1 - (-9 - j).
7
Calculate the lowest common multiple of 12 and (-1320)/(-4)*34/85.
132
Let q(d) = -50*d - 116. Calculate the smallest common multiple of q(-8) and 9.
2556
Let g be 0*4/(-16) + (-6518)/(-7). Let s = g - 936. Find the common denominator of s and 63/16.
112
Let b = 67775458214986 + -50153824986632027/740. Let m = 19043866 - b. Let j = -104/37 + m. Find the common denominator of 83/22 and j.
220
Let z = -141 + 138. Calculate the lowest common multiple of 2*z/24 - (-343)/28 and 40.
120
Suppose 447*v = 452*v - 10. What is the smallest common multiple of (-1)/(-3) - (-40)/6 and v?
14
Suppose -1 = 2*m - 15. Let u(k) = -k**3 + 6*k**2 + 8*k - 4. Let w be u(m). What is the least common multiple of 9 + w*(2 - 3) and 11?
66
Suppose 0 = -601*r + 551*r + 4550. Calculate the lowest common multiple of r and 39.
273
Let y = -241 - -283. What is the lowest common multiple of 63 and y?
126
Let v = 6 + -3. Let t = v + -28. Let j = -4957/2 + 2481. Calculate the common denominator of j and t.
2
Let r be (4/(-5))/((-11)/(-55)). Find the common denominator of (-819)/(-196) + (-1)/r and 89/4.
28
Find the common denominator of 6/(-8)*(-725)/203 and -15/7.
28
Let d = -10/623 + -19153/9968. Let g = -19 + 1417. Let n = -5495/4 + g. What is the common denominator of d and n?
16
Let s = 98 + -775/8. Find the common denominator of s and -107/486.
1944
Let w = 3936/3173 + -5/167. Calculate the common denominator of 83/10 and w.
190
Let l = 7/381 + 6181/2286. Calculate the common denominator of 3/22 and l.
198
Let p = -29 + 51. Calculate the smallest common multiple of p and -34*(-3)/(6 + -3).
374
Let q(z) = -z**2 - 6*z + 8. Let y be q(-8). Let d(j) = -j + 2. What is the least common multiple of d(y) and 2?
10
Let d be 1/4 + 530/6. Let y be 780/9 - (6 - 4). Let a = d - y. Find the common denominator of a and -91/12.
12
Let g be -2 - (-10)/6 - 35/3. What is the lowest common multiple of (2/(-4))/(1/g) and 28?
84
Find the common denominator of ((-26)/6)/(((-1360)/24)/(-17)) and 79/21.
210
Suppose 10*n = 5*n. Suppose n = 2*b - 7*b + 60. Calculate the smallest common multiple of 14 and b.
84
What is the common denominator of (2 - (-6)/(-9))/(2/(-69)) and (-102)/(-4) + 3/(-9)?
6
Suppose 0 = -4*p - 0*p + 32. Calculate the common denominator of 9/((-90)/56) + -4 and (38/8)/(22/p).
55
Let h = 246708963703/96866644 + -1/24216661. Let t = -3699 + 1154. Let i = t + h. Find the common denominator of 43/8 and i.
56
Let g = -1550 + 30893/20. Find the common denominator of g and 51/4.
20
Let b be (-3)/((-18)/34) - (-3)/9. What is the smallest common multiple of b - (-6 - (-1 - 2) - -5) and 18?
36
Let t be 66/(-12)*9134/(-16)*2. Let d = -6269 + t. Find the common denominator of -97/4 and d.
8
Suppose 2*c - 3*w - 2 = 0, -2*c + 0*c + 2*w = 0. Let g = c + 11. Suppose 13*h - 45 = 33. What is the least common multiple of g and h?
18
Let i = 5 - -19. Suppose 0 = 2*t + 5*d - 0*d - 48, 2*d = 0. Suppose 4*z - 32 - t = 0. Calculate the least common multiple of i and z.
168
Calculate the least common multiple of 30 and ((-20)/6)/(2475/(-162) - -15).
60
Let w = 1439 - 1019. Calculate the smallest common multiple of w and 7.
420
Let d be (-3733)/(-132) - (-10)/(-15). Let r = -5323 - -58645/11. Let h = d - r. Calculate the common denominator of -103/22 and h.
44
Let d(o) = 3*o - 1700 + 3*o - 4*o + 116. Let a be d(0). Let m = a + 4802/3. Calculate the common denominator of m and -7/16.
48
Suppose -14 = -2*j + z, j + j - 14 = -5*z. Suppose -2*w = -2*f - 3*f - 31, 2*f = -2*w - 4. Let u = f + j. What is the lowest common multiple of u and 4?
4
Let w = -1597 + 6425/4. Calculate the common denominator of w and 156/(-88) - 2/2.
44
Let v = 513/20 - 243/10. Find the common denominator of v and -4 + (2 + 669/(-258) - -4)/1.
860
Let r be (-136703)/(-20) + (8 - 6). Let h = r - 6835. What is the common denominator of h and -59/8?
40
Let r(u) = -u**3 - 18*u**2 - 18*u - 13. Let c be r(-17). Find the common denominator of 69/4 and 5/c*(-370)/(-200).
16
Let g be 7*(-4 + (-124)/(-28)). Suppose 3*v = -g + 15. What is the lowest common multiple of v and 6?
12
Let p be (-4)/22 - 664/(-22). Suppose -3*s + k = 4*k - 33, -4*s + 3*k = -p. Calculate the least common multiple of s and 5.
45
Let c(u) = -4*u - 2. Let p be (0 + 3 - 2)*-1*91. Let d = p + 93. What is the least common multiple of c(-5) and d?
18
Let x = 1423/12 + -121. What is the common denominator of 7/20 and x?
60
Let c = 43 + -29. Find the common denominator of 31/(-35) + 4/c and (-1568)/126 - 1*-6.
45
Find the common denominator of 12/5 and (-642)/120 + (-4)/(-40).
20
Suppose 0 = -14*p + 13*p - 2*x + 353, 2*x + 712 = 2*p. Calculate the lowest common multiple of p and 7.
2485
Calculate the common denominator of 17/333 and 71/((4 + -1)/(3/(-21))).
2331
Let z = 246 + -233. Find the common denominator of 19/4 and z.
4
Let p = 1083/7 + -23693/154. Find the common denominator of p and -33/10.
110
Let s = 52 + -31. Suppose 4*a = -3*k + 53, 3*a - 4*k = -0*k + s. Let v(r) = 3*r - 1. Calculate the smallest common multiple of v(3) and a.
88
Suppose 62*p - 2622 = 478. What is the smallest common multiple of p and 90?
450
Let c = 52817/21 + -2516. What is the common denominator of c and -24/7?
21
Let f = -457/2 + 265. What is the common denominator of 8/(-20) - (-246)/165 and f?
22
Let a be -1 - 5/(-360)*279/42. Let p = 2/21 + a. Find the common denominator of -127/18 and p.
144
Suppose 3*b + 0*b + 3*a - 126 = 0, 3*a - 169 = -4*b. Calculate the lowest common multiple of b and 7.
301
Let f(c) = 20*c - 1032. Calculate the least common multiple of 14 and f(70).
2576
Let k = -5144 + 46351/9. What is the common denominator of (-658)/(-244) - ((0 - 2) + 4) and k?
1098
Let k(o) = o**3 - 13*o**2 + 3*o - 7. Let a be k(13). Suppose -2*y - 37 + 1 = -3*r, -2*r = -4*y - a. What is the smallest common multiple of r and 4?
20
Let s = -156/23 + 1935/92. Calculate the common denominator of 49/32 and s.
32
Suppose 2*a + 8 = -0*a, 0 = 2*i + 2*a - 132. Let z = i + -17. Suppose -3*g = 2*s - 32, -s + z = 5*g + 2*s. What is the lowest common multiple of 5 and g?
10
Let i = -2101 - -6244/3. Let t = -327 + 10790/33. Find the c
|
{
"pile_set_name": "DM Mathematics"
}
|
?
False
Does 13 divide 1850893486?
True
Is 306 a factor of 85057817?
False
Is 1583 a factor of 18749052?
True
Is 307 a factor of 268055208?
True
Is 534 a factor of 40205089?
False
Is 98812702 a multiple of 21?
False
Does 25 divide 366822725?
True
Is 11 a factor of 545766386?
True
Is 16447705 a multiple of 131?
True
Does 16 divide 6711788?
False
Is 24 a factor of 95153952?
True
Is 310094063 a multiple of 2242?
False
Is 46181989 a multiple of 296?
False
Is 7256489 a multiple of 7?
False
Is 24 a factor of 199647264?
True
Is 13542336 a multiple of 1383?
True
Is 31642024 a multiple of 2?
True
Is 63 a factor of 22290534?
True
Is 264095 a multiple of 31?
False
Is 53 a factor of 202448552?
True
Is 7 a factor of 7497427?
True
Is 642808 a multiple of 84?
False
Is 349 a factor of 1360455640?
False
Is 16745021 a multiple of 493?
False
Is 226 a factor of 204619561?
False
Does 74 divide 13385936?
False
Is 170 a factor of 1385429363?
False
Is 64081457 a multiple of 1368?
False
Is 19 a factor of 36109360?
False
Is 56014580 a multiple of 47?
False
Is 33 a factor of 17335024?
False
Is 2168481554 a multiple of 41?
True
Is 119894784 a multiple of 8?
True
Is 10 a factor of 128223107?
False
Is 1134155 a multiple of 9?
False
Is 85173252 a multiple of 14?
False
Does 169 divide 64310415?
True
Does 22 divide 67532652?
True
Is 19610055 a multiple of 1304?
False
Is 95 a factor of 745960855?
False
Is 32 a factor of 89060992?
True
Does 72 divide 3164021642?
False
Is 436389248 a multiple of 16?
True
Is 2633 a factor of 415271494?
True
Does 2897 divide 754044440?
False
Is 113 a factor of 21530568?
True
Does 1202 divide 30911834?
True
Is 106737218 a multiple of 27?
False
Is 32 a factor of 1197490560?
True
Is 111 a factor of 92545740?
False
Is 2 a factor of 1595748?
True
Is 19 a factor of 46170770?
False
Is 558820 a multiple of 20?
True
Is 2321885757 a multiple of 3130?
False
Is 90 a factor of 34533067?
False
Does 1425 divide 42860149?
False
Does 519 divide 43977448?
False
Is 6215203 a multiple of 237?
False
Is 5 a factor of 67066724?
False
Does 21 divide 70738681?
False
Does 98 divide 670616940?
True
Is 8 a factor of 32097570?
False
Is 85 a factor of 13749333?
False
Is 86 a factor of 657198145?
False
Is 107815818 a multiple of 10?
False
Does 13 divide 37398101?
True
Is 18555270 a multiple of 29?
False
Is 37 a factor of 198667864?
False
Is 49409997 a multiple of 29?
True
Is 780 a factor of 33030825?
False
Is 1110 a factor of 1520322787?
False
Is 137326887 a multiple of 10?
False
Is 517 a factor of 288475143?
True
Is 33 a factor of 157215333?
True
Is 1855276015 a multiple of 29?
True
Is 6130119 a multiple of 107?
False
Is 486772865 a multiple of 2?
False
Is 901 a factor of 670648538?
True
Does 2 divide 47941377?
False
Is 4180288 a multiple of 339?
False
Is 39 a factor of 11964934?
False
Is 286 a factor of 147714019?
False
Does 4495 divide 97478566?
False
Does 7 divide 15298661?
True
Is 356396514 a multiple of 21?
False
Is 2469855169 a multiple of 1283?
False
Does 9 divide 30549641?
False
Is 93 a factor of 932275435?
False
Is 658 a factor of 28949221?
False
Is 341 a factor of 45989755?
False
Is 5 a factor of 290422465?
True
Is 65 a factor of 20870980?
True
Does 5 divide 44847911?
False
Is 194674635 a multiple of 97?
True
Is 26 a factor of 38608154?
True
Is 20 a factor of 313086240?
True
Is 50885138 a multiple of 21?
False
Does 25 divide 28566452?
False
Is 709655348 a multiple of 482?
True
Does 375 divide 202180500?
True
Is 63 a factor of 360677868?
False
Does 111 divide 59162305?
False
Is 8078686 a multiple of 7?
True
Is 211037595 a multiple of 3999?
False
Is 1696 a factor of 224617310?
False
Is 465185252 a multiple of 263?
False
Is 208387047 a multiple of 11?
True
Does 94 divide 739322784?
True
Does 22 divide 21282756?
True
Does 57 divide 363740712?
True
Is 914677334 a multiple of 1303?
True
Is 34 a factor of 237245472?
True
Is 1338444 a multiple of 9?
True
Is 648 a factor of 948023352?
True
Does 313 divide 289221703?
True
Is 24 a factor of 1450377768?
True
Is 61 a factor of 277327430?
False
Is 6 a factor of 4097009?
False
Is 112 a factor of 56615664?
True
Does 8 divide 145068240?
True
Is 231 a factor of 1312758694?
False
Does 56 divide 6300392?
True
Does 21 divide 2393344737?
True
Is 467 a factor of 30174018?
False
Is 94486860 a multiple of 745?
True
Does 87 divide 52330954?
False
Is 70 a factor of 98562520?
True
Is 3241026 a multiple of 1139?
False
Is 781883478 a multiple of 19?
True
Is 7 a factor of 20901419?
True
Is 290 a factor of 7521440?
True
Is 2008 a factor of 278777046?
False
Is 1935 a factor of 326763450?
True
Is 306482610 a multiple of 105?
True
Is 1288117910 a multiple of 91?
False
Does 19 divide 25599251?
True
Does 15 divide 468522270?
True
Does 7 divide 57992893?
True
Is 151749990 a multiple of 595?
True
Does 98 divide 58787162?
True
Is 564 a factor of 167747136?
True
Does 9 divide 5941845?
True
Is 27 a factor of 2240173827?
True
Is 6908 a factor of 349171768?
True
Is 11 a factor of 103899884?
True
Is 13 a factor of 187873479?
False
Is 53867304 a multiple of 1233?
True
Does 202 divide 35267206?
False
Does 9 divide 4867430?
False
Does 106 divide 32326942?
False
Is 49 a factor of 46238311?
True
Is 5394114 a multiple of 130?
False
Does 79 divide 322459992?
False
Is 766964261 a multiple of 25?
False
Is 169606761 a multiple of 23?
True
Is 43 a factor of 1755984141?
False
Is 240 a factor of 1133771300?
False
Does 24 divide 392979480?
True
Is 220 a factor of 166967680?
True
Does 1159 divide 31026430?
True
Is 43 a factor of 2075886275?
True
Is 17787121 a multiple of 1507?
True
Is 27 a factor of 1629396594?
True
Is 87046479 a multiple of 117?
True
Is 29544984 a multiple of 2883?
True
Is 135513573 even?
False
Is 171 a factor of 36920232?
False
Is 884812628 a multiple of 13?
False
Does 926 divide 332832490?
False
Does 12 divide 51418327?
False
Is 967 a factor of 140527803?
False
Is 19819839 a multiple of 233?
False
Is 349 a factor of 135038957?
False
Does 2323 divide 3350342104?
True
Is 93385242 a multiple of 5?
False
Is 227156380 a multiple of 843?
False
Is 98 a factor of 2471793?
False
Is 13558282 a multiple of 646?
False
Does 50 divide 95848550?
True
Does 3 divide 524720253?
True
Is 252038032 a multiple of 1424?
True
Is 13 a factor of 194518753?
True
Is 982300554 even?
True
Does 429 divide 240408?
False
Does 214 divide 1594879174?
False
Is 972 a factor of 1432395576?
True
Does 614 divide 17194456?
True
Does 16 divide 2345897680?
True
Does 28 divide 1299267027?
False
Does 114 divide 121737294?
True
Is 52440629 a multiple of 91?
False
Is 5 a factor of 263650?
True
Is 22 a factor of 345266971?
False
Is 18 a factor of 15990264?
True
Is 40028566 a multiple of 440?
False
Does 4065 divide 2176678444?
False
Does 14 divide 3906057?
False
Does 43 divide 206659935?
True
Does 91 divide 241944612?
True
Does 610 divide 981702890?
True
Is 106 a factor of 1933347?
False
Does 132 divide 179438556?
True
Is 12 a factor of 43302787?
False
Does 66 divide 15226530?
True
Is 5727928 a multiple of 8?
True
Does 3181 divide 438915902?
False
Does 21 divide 38693697?
True
Is 36123992 a multiple of 1324?
False
Is 19248524 a multiple of 351?
False
Does 18 divide 92965105?
False
Is 27024128 a multiple of 123?
False
Is 29829897 a multiple of 204?
False
Is 33 a factor of 17773017?
False
Is 13056647 a multiple of 13?
False
Does 14 divide 146538168?
True
Does 464 divide 1534676130?
False
Does 21 divide 2176839?
True
Is 171 a factor of 378442916?
False
Is 729015540 a multiple of 2742?
True
Is 34763472 a multiple of 54?
True
Is 128 a factor of 35339453?
False
Is 3005 a factor of 1484552954?
False
Is 115711724 a multiple of 55?
False
Does 25 divide 249962278?
False
Does 1119 divide 105628005?
True
Is 5869326 a multiple of 19?
False
Does 141 divide 52175057?
False
Is 2576 a factor of 324346261?
False
Is 13 a factor of 148890534?
True
Is 73134412 a multiple of 26?
True
Does 295 divide 31584765?
True
Is 276750499 a multiple of 596?
False
Does 162 divide 2518938?
True
Does 30 divide 5117021?
False
Is 73 a factor of 19796432?
True
Is 1080288 a multiple of 186?
True
Is 1012201502 a multiple of 146?
True
Is 264619645 a multiple of 234?
False
Is 3033461 even?
False
Is 280178232 a multiple of 1067?
False
Is 67633
|
{
"pile_set_name": "DM Mathematics"
}
|
, -0.088
Sort -2/11, -3, -0.111483.
-3, -2/11, -0.111483
Sort 337, -50, 5.
-50, 5, 337
Sort -1791, -23, -5 in decreasing order.
-5, -23, -1791
Sort 41, 1, -1, 5, -5, -23.
-23, -5, -1, 1, 5, 41
Put -86, 2, -368 in descending order.
2, -86, -368
Sort -0.2, 10, -236, 2/7, -1/6.
-236, -0.2, -1/6, 2/7, 10
Sort -9, -4, 10, 0, 148 in ascending order.
-9, -4, 0, 10, 148
Sort -5, -84, 46, 9 in ascending order.
-84, -5, 9, 46
Put 5, 362263, 0 in increasing order.
0, 5, 362263
Sort 128, -5, 15, -3 in ascending order.
-5, -3, 15, 128
Put 2763, -2, 1, 2, 6 in ascending order.
-2, 1, 2, 6, 2763
Put 3013, 13, -29 in decreasing order.
3013, 13, -29
Sort -4, -2, -134, -22 in decreasing order.
-2, -4, -22, -134
Sort 0.3, -2, -2/3, 1, -1021 in increasing order.
-1021, -2, -2/3, 0.3, 1
Sort 2, -4, -5, 2888, 3 in ascending order.
-5, -4, 2, 3, 2888
Put 0, 19, -1, 2/17, 0.06 in ascending order.
-1, 0, 0.06, 2/17, 19
Put -7, 18, 28, 22 in increasing order.
-7, 18, 22, 28
Sort 0.4, -146540, 0, -4, 2/13, -3 in decreasing order.
0.4, 2/13, 0, -3, -4, -146540
Sort -1/3, -10620, -4, 0.5, -0.1 in ascending order.
-10620, -4, -1/3, -0.1, 0.5
Put 2, 3/4, 1/32, -4, -0.5 in descending order.
2, 3/4, 1/32, -0.5, -4
Sort -5, -11, 5, 2/373, -2 in increasing order.
-11, -5, -2, 2/373, 5
Sort 5, 278067, 14 in ascending order.
5, 14, 278067
Sort -5, -1370, -6 in decreasing order.
-5, -6, -1370
Put -2, -190, -3, -4 in descending order.
-2, -3, -4, -190
Sort -5/3, 2, -0.4, -233356 in ascending order.
-233356, -5/3, -0.4, 2
Sort 47, -2699, -5 in decreasing order.
47, -5, -2699
Sort -5, -2, 4, -139, -7.
-139, -7, -5, -2, 4
Sort -0.3, 0.2, -1/2, 1, -4/355 in ascending order.
-1/2, -0.3, -4/355, 0.2, 1
Sort 2693, 4, -3, -2 in increasing order.
-3, -2, 4, 2693
Put -5, 4, 35, -32, -18, 0 in decreasing order.
35, 4, 0, -5, -18, -32
Put -2, 32, 12, 0, -1 in descending order.
32, 12, 0, -1, -2
Put 26, -3, -4, -64 in decreasing order.
26, -3, -4, -64
Put -5, -3, -5330 in increasing order.
-5330, -5, -3
Sort 0.2, -0.01, 1/92, -0.3.
-0.3, -0.01, 1/92, 0.2
Put -305/4, 0.2, -4 in descending order.
0.2, -4, -305/4
Put -666, 37, -1, 5 in descending order.
37, 5, -1, -666
Put 0, -61, -9, 4, 1, 3 in decreasing order.
4, 3, 1, 0, -9, -61
Put -83, -5, -10, -3, 4 in increasing order.
-83, -10, -5, -3, 4
Put 2, 248, 0, -32 in decreasing order.
248, 2, 0, -32
Sort -1034, 3, -118, -5 in increasing order.
-1034, -118, -5, 3
Sort 1, -6, 2, -5, -9, -111 in decreasing order.
2, 1, -5, -6, -9, -111
Put -19, -4, -531 in ascending order.
-531, -19, -4
Sort 66, -27, 1/4, 17.
-27, 1/4, 17, 66
Put 3, 219, 48, 2 in descending order.
219, 48, 3, 2
Sort -4, 0.16, -0.09, -1, 33, 1.
-4, -1, -0.09, 0.16, 1, 33
Sort -0.3, -24, -1151, 1.2 in descending order.
1.2, -0.3, -24, -1151
Put -5628, -1/3, -5, 2/11, -4 in ascending order.
-5628, -5, -4, -1/3, 2/11
Sort 4, -2, -4, -58, -10 in ascending order.
-58, -10, -4, -2, 4
Sort 5, 0.3, 6/3559, -0.2.
-0.2, 6/3559, 0.3, 5
Sort -1, 3/20, 5/7.
-1, 3/20, 5/7
Sort 2, 419, 2037 in descending order.
2037, 419, 2
Sort 4, 5, 0, -1, 983, 2 in descending order.
983, 5, 4, 2, 0, -1
Sort 6, 5, -1/22, 0.8, 9 in ascending order.
-1/22, 0.8, 5, 6, 9
Sort -57, 2, -1/6, -5, -2/9, -6 in descending order.
2, -1/6, -2/9, -5, -6, -57
Sort -3, 5, 6, -153, 2, -1 in descending order.
6, 5, 2, -1, -3, -153
Put 3, -4, -19, 2235 in descending order.
2235, 3, -4, -19
Put 1430, -0.2, 4/13 in increasing order.
-0.2, 4/13, 1430
Put 12, 7, 1, 3, 201 in decreasing order.
201, 12, 7, 3, 1
Put -0.022, -3, -1.344 in descending order.
-0.022, -1.344, -3
Put -5, -75, 2613 in descending order.
2613, -5, -75
Sort 54558, 4, -5, -1.
-5, -1, 4, 54558
Sort 2, 33, 1, -15/64 in increasing order.
-15/64, 1, 2, 33
Put 103865, -2, -4 in descending order.
103865, -2, -4
Sort 10, -3, 0, 118.
-3, 0, 10, 118
Sort -112, 2, 1, -17, -1 in increasing order.
-112, -17, -1, 1, 2
Put 1311, 5, -3 in descending order.
1311, 5, -3
Sort -4, -519, 39 in decreasing order.
39, -4, -519
Sort 3, -1268, 1, -3 in decreasing order.
3, 1, -3, -1268
Put -3/5, -9, 15 in ascending order.
-9, -3/5, 15
Sort -2, 62, -797.
-797, -2, 62
Put -22, 5, -13, -3, -187 in ascending order.
-187, -22, -13, -3, 5
Put 0.4, -1/18, -104, 3/8 in increasing order.
-104, -1/18, 3/8, 0.4
Sort -13, -463, -4 in increasing order.
-463, -13, -4
Sort 3, -42, 430.
-42, 3, 430
Sort -5, 1, 13341.
-5, 1, 13341
Sort -10, -7, -12.93 in descending order.
-7, -10, -12.93
Sort 5.2, -2, 59, -7, -1/5, 1/6.
-7, -2, -1/5, 1/6, 5.2, 59
Put 5, 48, 283 in descending order.
283, 48, 5
Sort -16, 3, -5, -4847.
-4847, -16, -5, 3
Put 2/13, -0.33, -2, -21 in ascending order.
-21, -2, -0.33, 2/13
Sort 25, 5, 1, -5, -83, 0.
-83, -5, 0, 1, 5, 25
Put -2, 2, 22530, 1, -5 in descending order.
22530, 2, 1, -2, -5
Put 0, -3, 3, -154, 2 in increasing order.
-154, -3, 0, 2, 3
Sort 2, -2099, 3/7, -1, -2/13, -2 in increasing order.
-2099, -2, -1, -2/13, 3/7, 2
Put 5/3, -3/4, -96, 5, 1/11 in decreasing order.
5, 5/3, 1/11, -3/4, -96
Put 2/19, 0.5, -4 in descending order.
0.5, 2/19, -4
Sort -93, -124, -5 in decreasing order.
-5, -93, -124
Sort 5, -12, 1, -5, -2, -10 in descending order.
5, 1, -2, -5, -10, -12
Sort -10, 16, 2, -4.
-10, -4, 2, 16
Put 5, 2/19, -363, 4 in ascending order.
-363, 2/19, 4, 5
Sort 41, 0, -405 in descending order.
41, 0, -405
Sort -29, 6, -5, 0, -0.4 in decreasing order.
6, 0, -0.4, -5, -29
Sort 23, 4, 2, -35 in ascending order.
-35, 2, 4, 23
Put -2, 121, 2/11, -3, 2/13 in ascending order.
-3, -2, 2/13, 2/11, 121
Sort 45, -106, -4, -0.1, -0.02 in increasing order.
-106, -4, -0.1, -0.02, 45
Sort 262, -9, -3, 2 in increasing order.
-9, -3, 2, 262
Sort -173, -7, -4, -1, -5 in descending order.
-1, -4, -5, -7, -173
Put 3, -839, 79, -5 in ascending order.
-839, -5, 3, 79
Put 39, 12, 20, 0, -1 in increasing order.
-1, 0, 12, 20, 39
Sort -5, -53, -8, 4, 7 in decreasing order.
7, 4, -5, -8, -53
Sort 7669, 0, 3, 4 in increasing order.
0, 3, 4, 7669
Put 6, -29, -3, -1, 23 in ascending order.
-29, -3, -1, 6, 23
Put 89130, 4, 22 in descending order.
89130, 22, 4
Put -3, -5, 208697, 1 in decreasing order.
208697, 1, -3, -5
Put 6, 3493, -2, 3, 5 in descending order.
3493, 6, 5, 3, -2
Put 3.8, -21447, -3/4 in decreasing order.
3.8, -3/4, -21447
Sort 2, 4, -121 in ascending order.
-121, 2, 4
Sort 58, 0.32, 0.3, -5, -0.3, -2/13 in ascending order.
-5, -0.3, -2/13, 0.3, 0.32, 58
Sort 240, 0.05, -1, 3, 0.4.
-1, 0.05, 0.4, 3, 240
Sort -628, -4, 5, 33 in decreasing order.
33, 5, -4, -628
Put 117, -2, 18 in increasing order.
-2, 18, 117
Sort 55, -2, 4, 78, 5, -5.
-5, -2, 4, 5, 55, 78
Sort -4, 75, -25, 1 in increasing order.
-25, -4, 1, 75
Put -3085, 5, -3, -4 in descending order.
5, -3, -4, -3085
Sort -7, 0, 5, -5, -1 in increasing order.
-7, -5, -1, 0, 5
Sort 3/2, 0, 128, -7, 3 in increasing order.
-7, 0, 3/2, 3, 128
Put 13, -5, -2, 3, -249 in descending order.
13, 3, -2, -5, -249
Put -4, 0, 2, -9, 1, 46 in ascending order.
-9, -4, 0, 1, 2, 46
Put -4, -15657, 0.08 in descending order.
0.08, -4, -15657
Sort 0.11, -51, -1/4, -5, -2 in increasing order.
-51, -5, -2, -1/4, 0.11
Put -67, -0.06, -4, 4, 34/9 in increasing order.
-67, -4, -0.06, 34/9, 4
Put -90, 0.5, 16, -5, 0.4 in ascending order.
-90, -5, 0.4, 0.5, 16
Sort 5, -3, -40738 in descending order.
5, -3, -40738
Sort -2, -5, 19, -9, 26, 5 in ascending order.
-9, -5, -2, 5, 19, 26
Put 0.2, 0.107, -0.279, -5 in descending order.
0.2, 0.107, -0.279, -5
Sort -4, 253, 0, 1, -5, 13 in descending order.
253, 13, 1, 0, -4, -5
Put -152, -197, 1 in increasing order.
-197, -152, 1
Sort -2, 56, 5, 4.
-2, 4, 5, 56
Put 984.35, 1.1, -2 in increasing order.
-2, 1.1, 984.35
Put 13, 23, 5 in increasing order.
5, 13, 23
Put -2/21, -1/4, -0.02 in descending order.
-0.02, -2/21, -1/4
Put 20, 25191, 2, 3 in increasing order.
2, 3, 20, 25191
Put 2, -15, 1, 182, 4, 3 in increasing order.
-15, 1, 2, 3, 4, 182
Sort -3, -1, 44.2, -3/7, -2 in descending order.
44.2, -3/7, -1, -2, -3
Put -3065, -4, 5 in descending order.
5, -4, -3065
Sort -0.4, 2/21, 489, -0.3, -0.2 in increasing order.
-0.4, -0.3, -0.2, 2/21, 489
Sort -52, -9, 12, -3, 0, -1 in descending order.
12, 0, -1, -3, -9, -52
Put -8, -173, 3, -2/3 in increasing order.
-173, -8, -2/3, 3
Put 0, -10, -2769 in ascending order.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
= -7*t**3 - 17*t**2 + 55*t - 31. Let f(g) = -g**3 - 3*g**2 + 9*g - 5. Let i(h) = q*o(h) + 39*f(h). Factor i(v).
3*(v - 3)*(v - 1)**2
Let s(d) be the second derivative of d**2 + 48*d + 0 - 1/60*d**4 + 3/10*d**3. Factor s(k).
-(k - 10)*(k + 1)/5
Suppose 376/9*a - 2/9*a**2 - 17672/9 = 0. Calculate a.
94
Let v(m) be the second derivative of 4/25*m**5 + 1/15*m**6 + 1/30*m**4 - 16*m + 0 + 0*m**2 - 2/15*m**3. Factor v(o).
2*o*(o + 1)**2*(5*o - 2)/5
Let n = -170 + 174. Let j(u) be the first derivative of n - 1/6*u**3 - 2*u - u**2. Let j(r) = 0. What is r?
-2
Let z(j) be the third derivative of 0*j**4 + 4/15*j**3 + 0 - 1/50*j**5 - 12*j**2 + 1/300*j**6 + 0*j. Factor z(b).
2*(b - 2)**2*(b + 1)/5
Let t(h) = -4*h**5 - 6*h**4 + 22*h**3 + 12*h**2 + 6*h. Let a(z) = -z**5 + z**4 + z**3 + 2*z**2 + z. Let b(n) = 6*a(n) - t(n). Factor b(j).
-2*j**3*(j - 4)*(j - 2)
Suppose -7/4*h + 1/2*h**2 + 1 + 1/4*h**3 = 0. What is h?
-4, 1
Let p = -11400 + 2063406/181. Let f = 284/2353 + p. Find g, given that -2/13*g + f*g**2 + 0 = 0.
0, 1
Let m(t) be the second derivative of t**4/12 + t**3/6 - t**2/2 + 2*t. Let l = 23 + -24. Let p(u) = -2*u**2 - 2*u - 1. Let v(b) = l*p(b) - 5*m(b). Factor v(r).
-3*(r - 1)*(r + 2)
Let m be (-40)/15 - -4 - (-4)/6. Let y be m*(4 + -7)*1/(-2). Factor -1/5*p**4 - 1/5*p**y + 0 + 0*p + 2/5*p**2.
-p**2*(p - 1)*(p + 2)/5
Suppose 1355*u + 1377*u + 78 = 2771*u. Let q = 29 + -13. Solve 16/5 - q*j + 20*j**u = 0 for j.
2/5
Let g be 20/6*24/10. Solve -3*k**2 + 4*k + 0 - 2 + g - k = 0.
-1, 2
Suppose -4*k - y = -16, 0*k + 5 = -k + 2*y. Factor -2*j**3 - 12*j + 4*j**3 + 9*j**2 + 4 - 3*j**4 + 4*j**k - 16.
-3*(j - 2)**2*(j + 1)**2
Let w be (5/14)/(-5)*412/(-309). Let -2/21*o + w*o**3 + 8/21 - 8/21*o**2 = 0. Calculate o.
-1, 1, 4
Suppose 4*b + 7 = z + 11*b, b - 1 = 4*z. Let a(j) be the third derivative of -1/5*j**4 + 0*j - 16/75*j**6 + z + 1/15*j**3 - 4*j**2 + 8/25*j**5. Factor a(c).
-2*(4*c - 1)**3/5
Solve 36*f**2 - 8*f**3 + 4*f**4 + 8 + 4*f**3 - 16*f**3 + 0*f**3 - 28*f = 0.
1, 2
Suppose 16/9*b**3 + 6*b - 8/9 + 26/3*b**2 = 0. Calculate b.
-4, -1, 1/8
Suppose r + 4 = 7. Factor -67*u**r - 9*u - 2 + 70*u**3 - 4.
3*(u - 2)*(u + 1)**2
Let z(r) = 6*r - 6. Let j be z(26). Find i such that 36*i**2 - 4*i**3 - 8*i**2 + 20 + j*i - 194*i = 0.
1, 5
Let c(x) be the first derivative of -32/3*x**3 - 1/15*x**5 + 0*x + 2 + 4/3*x**4 + 4*x**2. Let w(q) be the second derivative of c(q). What is r in w(r) = 0?
4
Let n(a) be the third derivative of 1/4*a**4 + 1/60*a**6 - 1/3*a**3 + 0*a - 11*a**2 + 0 - 1/10*a**5. Find g, given that n(g) = 0.
1
Let i(k) be the third derivative of -7*k**5/60 + k**4/8 - k**3/6 - 13*k**2. Let w(q) = -3*q**2 + q. Let p(g) = 2*i(g) - 5*w(g). Suppose p(y) = 0. Calculate y.
-2, 1
Let p(c) be the second derivative of -c**7/42 - 7*c**6/15 - 69*c**5/20 - 35*c**4/3 - 50*c**3/3 + 86*c + 2. What is d in p(d) = 0?
-5, -2, 0
Let r(l) be the first derivative of -l + 1 + l**2 - 1/3*l**3. Factor r(a).
-(a - 1)**2
Let o(t) be the third derivative of t**5/360 + t**4/72 - 2*t**3/9 - 34*t**2. Let o(u) = 0. What is u?
-4, 2
Let m(h) = 2*h**2 + 3*h - 1. Let d be m(1). Let x be (3/(-2))/(1/(-2)). Solve -2*k**4 + 5*k**3 + 3*k**x + 36*k**2 - 38*k**2 - 4*k**d = 0.
0, 1/3, 1
Let s be (6 + (4 - 1 - 2))*1. Let g be 5*s/105 + 2/(-6). Determine r, given that 0*r + g - 1/2*r**4 - 1/2*r**2 + r**3 = 0.
0, 1
Let s(g) = -5*g**4 + 7*g**3 + 2*g**2 - 9*g + 3. Let a(o) = -o**4 + o**3 + 2*o**2 + o - 1. Let y(j) = 2*a(j) + 2*s(j). Solve y(u) = 0 for u.
-1, 1/3, 1
Let r be (2 - 1) + 1 + -2. Let g = 66790 + -66788. Factor -4/13*i**g + r - 2/13*i**3 + 0*i.
-2*i**2*(i + 2)/13
Let d(b) be the second derivative of -3/100*b**5 + 0 - 9*b - 1/20*b**4 + 1/5*b**3 + 0*b**2. Factor d(j).
-3*j*(j - 1)*(j + 2)/5
Let a(b) = 135*b**2 - 1700*b + 55. Let o(g) = -5*g**2 + 63*g - 2. Let k(d) = -2*a(d) - 55*o(d). Let k(n) = 0. Calculate n.
0, 13
Find z, given that 21/2*z - 147/2*z**2 - 1/2 + 343/2*z**3 = 0.
1/7
Let m be (-7)/(-4) - 7/(-28). Factor -6/19 + 2/19*h**3 - 10/19*h - 2/19*h**m.
2*(h - 3)*(h + 1)**2/19
Find n, given that -50/7*n + 2/7*n**3 - 50/7 + 2/7*n**2 = 0.
-5, -1, 5
Suppose 63/4*d**2 + 441/4*d + 3/4*d**3 + 1029/4 = 0. What is d?
-7
Let n(x) = -x - 3. Let w be n(7). Let i = -8 - w. Find l such that 4*l**4 + 78*l**3 - l**2 + 2*l**i - 74*l**3 = 0.
-1/2, 0
Let q(o) be the second derivative of o**4/6 - 25*o**3/3 - 54*o**2 - 58*o - 3. Find h, given that q(h) = 0.
-2, 27
Let v(a) be the second derivative of 3/2*a**2 - 7*a - a**3 - 3/80*a**5 + 0 + 5/16*a**4. Factor v(d).
-3*(d - 2)**2*(d - 1)/4
Let o(n) = -n**3 + n. Let w(j) = -8*j**3 + 60*j**2 + 5*j. Let l(v) = 5*o(v) - w(v). Factor l(s).
3*s**2*(s - 20)
Let b(n) = -n**2 - 2. Let z be b(-3). Let k = z + 13. Factor -2 + 2 - 2*h**k - h - 3*h.
-2*h*(h + 2)
Suppose -13 = -6*d + 35. Suppose d*h + 5 = 21. Factor 2/9*s**3 + 0 - 2/9*s + 0*s**h.
2*s*(s - 1)*(s + 1)/9
Suppose 2 = -4*j - 2, z + 128 = -2*j. Let h be -4*(-1)/2 - (-224)/z. Suppose 4/9*m**3 + 4/9*m**2 - h*m - 2/9*m**5 - 2/9 - 2/9*m**4 = 0. What is m?
-1, 1
Suppose -84/5*x - 44/5 + 3/5*x**3 - 5*x**2 = 0. What is x?
-2, -2/3, 11
Let h = 53 + -54. Let j be 1/4 - h*35/20. Factor -1/3*a**3 - 8/3*a + 5/3*a**j + 4/3.
-(a - 2)**2*(a - 1)/3
Let l(f) be the first derivative of f**5/5 + 8*f**4/3 + 14*f**3 + 36*f**2 + 26*f + 15. Let n(p) be the first derivative of l(p). Factor n(d).
4*(d + 2)*(d + 3)**2
Let u(n) be the second derivative of 0*n**3 - 1/168*n**7 + 0*n**2 + 0*n**5 + 18*n + 0 + 1/12*n**4 - 1/40*n**6. Factor u(a).
-a**2*(a - 1)*(a + 2)**2/4
Suppose -187*c + 678 = -74*c. Let k(t) be the third derivative of -1/15*t**5 + 1/30*t**c + 0*t + 10*t**2 - 1/6*t**4 + 0 + 2/3*t**3. Let k(j) = 0. Calculate j.
-1, 1
Let i(b) = b**2 + 5*b + 16. Let w be i(-4). Let l be w/(-20)*(-12)/36. Factor -1/5*r**3 + 3/5*r**2 + r - l*r**4 + 2/5.
-(r - 2)*(r + 1)**3/5
Let j(n) be the third derivative of n**8/141120 - n**7/5040 + 5*n**5/12 + 28*n**2. Let z(s) be the third derivative of j(s). Factor z(u).
u*(u - 7)/7
Suppose 3*p - p + 2*s = 8, -5*p + 4*s + 29 = 0. Suppose 0 = 6*a + 156 - 180. Factor 6*i**3 + 4*i**5 + 0*i**3 - i**p + 9*i**a.
3*i**3*(i + 1)*(i + 2)
Let m(v) = v**3 - 3*v**2 - 3*v - 3. Let g be m(4). Let h be 2*g/(-6) + (-21)/(-9). Find c, given that -4/3*c**h + 0 + 2/3*c = 0.
0, 1/2
Let u be ((-84)/(-18))/(2/(-12)). Let f be (-114)/(-7) + u/98. Factor l**2 + l + 16 - f.
l*(l + 1)
Let u be (-3)/(-12)*(-11 - -12). Let v(q) be the first derivative of 1/5*q**5 + 0*q + 2 + 0*q**4 - 1/3*q**3 - u*q**2 + 1/12*q**6. Let v(t) = 0. Calculate t.
-1, 0, 1
Let b(a) = -a - 1. Let n(z) = z**3 + 58*z**2 + 846*z + 5. Let y(h) = 5*b(h) + n(h). Let y(p) = 0. Calculate p.
-29, 0
Let t(s) be the second derivative of 0 + 5*s - 4/5*s**2 + 2/3*s**3 - 1/5*s**4. Determine z so that t(z) = 0.
2/3, 1
Let l(n) be the third derivative of -n**8/25200 - n**7/1575 - n**6/225 + n**5/30 - 3*n**2. Let u(r) be the third derivative of l(r). Solve u(k) = 0 for k.
-2
Factor 243/8*v**2 - 3/8*v**3 - 630*v + 600.
-3*(v - 40)**2*(v - 1)/8
Let l = 202 + -196. Let o(s) be the third derivative of 0*s**3 - 1/30*s**5 + 1/18*s**4 + 0 + 1/180*s**l + s**2 + 0*s. Factor o(k).
2*k*(k - 2)*(k - 1)/3
Factor 31/3*a**2 + 68/3*a + 4.
(a + 2)*(31*a + 6)/3
Factor 72*x - 69839 - 12*x**4 + 69839 - 88*x**3 + 188*x**2.
-4*x*(x - 2)*(x + 9)*(3*x + 1)
Let k = 58 - 53. Let b(z) = 8*z**2 - 20*z. Let l(o) = 2*o - 3*o - 3*o**2 + 5*o + 3*o. Let t(w) = k*b(w) + 14*l(w). Factor t(r).
-2*r*(r + 1)
Let i be 5/(-9) - (-8)/(-36)*-3. Let t(w) be the first derivative of -2/9*w**3 + 1/9*w**4 + 0*w + i*w**2 - 1. Suppose t(q) = 0. Calculate q.
0, 1/2, 1
Let w = -264 - -800/3. Let k(b) be the first derivative of w*b + 2/9*b**3 + 4/3*b**2 + 4. Find n, given that k(n) = 0.
-2
Determine n, given that 18*n**2 - 20 + 18*n - 12*n**2 - 4*n**2 = 0.
-10, 1
Let r(j) be the first derivative of j**9/3024 - j**8/840 + j**7/840 - 8*j**3/3 + 14. Let z(y) be the third derivative of r(y). Factor z(a).
a**3*(a - 1)**2
Let q(r) = -r**3 - r**2 + r. Let o be q(0). Suppose -3*c + 12 = -o*c. Factor -8*p + 0*p**2 - 6*p**4 + 12*p**4 + 5*p**5 + 17*p**c + 30*p**3 + 4*p**2.
p*(p + 1)*(p + 2)**2*(5*p - 2)
Suppose 5*t - 3*t - 18 = 0. Suppose t*q + 2 = 20. Determine o, given that -2/21*o**4 - 2/21 + 0*o + 0*o**3 + 4/21*o**q = 0.
-1, 1
|
{
"pile_set_name": "DM Mathematics"
}
|
in thirteen fifths of a litre?
2600
How many nanoseconds are there in 429498.9 weeks?
259760934720000000000
Convert 0.5754039 micrograms to nanograms.
575.4039
Convert 43.29424 centimeters to micrometers.
432942.4
What is 11/2 of a litre in millilitres?
5500
How many kilograms are there in 882.4603 grams?
0.8824603
How many micrometers are there in twenty-seven fifths of a millimeter?
5400
What is 6/5 of a hour in seconds?
4320
How many seconds are there in 27511.73 nanoseconds?
0.00002751173
Convert 3835.15 millennia to years.
3835150
How many minutes are there in twenty ninths of a week?
22400
How many nanometers are there in 3/8 of a micrometer?
375
What is 77550.37 years in millennia?
77.55037
What is 87.65038 centuries in months?
105180.456
Convert 486546.03s to hours.
135.151675
How many minutes are there in 6010.743 hours?
360644.58
Convert 0.1053653l to millilitres.
105.3653
Convert 23.5441431 seconds to days.
0.00027250165625
What is 15/4 of a litre in millilitres?
3750
What is 2/9 of a week in minutes?
2240
How many decades are there in 824321.2 centuries?
8243212
How many millilitres are there in seventy-five halves of a litre?
37500
Convert 6529.252 microseconds to nanoseconds.
6529252
What is one twentieth of a milligram in micrograms?
50
What is 691.3182 micrograms in tonnes?
0.0000000006913182
What is 3/8 of a millennium in years?
375
What is 1.8669621 months in centuries?
0.00155580175
How many millilitres are there in thirty-three fifths of a litre?
6600
Convert 8.411699l to millilitres.
8411.699
What is 7489.013 weeks in microseconds?
4529355062400000
How many centuries are there in 51/2 of a millennium?
255
How many microseconds are there in 0.8094404 days?
69935650560
What is three fifths of a tonne in kilograms?
600
How many litres are there in 79.08446ml?
0.07908446
How many micrograms are there in thirty-three fifths of a milligram?
6600
What is 17/4 of a litre in millilitres?
4250
What is 54/5 of a hour in minutes?
648
How many grams are there in 3/25 of a kilogram?
120
How many nanograms are there in fifteen quarters of a microgram?
3750
What is seven halves of a litre in millilitres?
3500
What is 8.348417 millilitres in litres?
0.008348417
How many millilitres are there in 76/5 of a litre?
15200
Convert 5.623518 millilitres to litres.
0.005623518
Convert 2571.8847 months to centuries.
2.14323725
How many millilitres are there in 6/5 of a litre?
1200
What is 7534.205 years in millennia?
7.534205
How many micrograms are there in 7/4 of a milligram?
1750
Convert 2606779.2ms to minutes.
43.44632
Convert 953715.5 decades to millennia.
9537.155
What is 4731.596 weeks in microseconds?
2861669260800000
How many hours are there in 13/8 of a week?
273
How many litres are there in 0.6803707ml?
0.0006803707
How many meters are there in three tenths of a kilometer?
300
What is 0.6666416 litres in millilitres?
666.6416
How many years are there in eleven tenths of a decade?
11
How many meters are there in 21/4 of a kilometer?
5250
How many nanometers are there in 496745.2 meters?
496745200000000
Convert 8416.9 kilograms to grams.
8416900
Convert 6.795747 hours to weeks.
0.040450875
How many milligrams are there in 6719.727 nanograms?
0.006719727
How many millilitres are there in 21/8 of a litre?
2625
How many micrograms are there in 1/100 of a milligram?
10
How many microseconds are there in 5273.54 minutes?
316412400000
How many years are there in 26/5 of a century?
520
What is 32/5 of a kilometer in meters?
6400
How many kilometers are there in 70710.25 centimeters?
0.7071025
What is three eighths of a milligram in micrograms?
375
Convert 182168.703 milliseconds to days.
0.0021084340625
How many days are there in 23.0836338 seconds?
0.0002671716875
What is 3/25 of a gram in milligrams?
120
Convert 5.765354 hours to minutes.
345.92124
How many milligrams are there in seven eighths of a gram?
875
How many centimeters are there in three tenths of a meter?
30
What is 45.81467 centimeters in nanometers?
458146700
Convert 297.8609 millennia to centuries.
2978.609
What is 6/5 of a century in years?
120
How many kilograms are there in 7.02244ug?
0.00000000702244
Convert 0.709882 days to minutes.
1022.23008
How many weeks are there in 1362.919257 microseconds?
0.0000000022535040625
How many micrometers are there in 21/5 of a millimeter?
4200
Convert 7864.935 weeks to days.
55054.545
How many minutes are there in 2/45 of a week?
448
How many microseconds are there in 0.641163 milliseconds?
641.163
Convert 2.156202 decades to centuries.
0.2156202
How many decades are there in 8.080035 centuries?
80.80035
How many micrograms are there in 2.103651 kilograms?
2103651000
What is seven sixteenths of a millennium in months?
5250
How many decades are there in 51565.34 centuries?
515653.4
What is 69169.76 millennia in months?
830037120
How many kilograms are there in 9541.221t?
9541221
Convert 906.318km to centimeters.
90631800
How many weeks are there in 11958.83892ns?
0.0000000000197732125
Convert 0.8324375cm to kilometers.
0.000008324375
How many micrometers are there in 452841.1m?
452841100000
What is thirty-two fifths of a millennium in centuries?
64
What is 58481.16 months in decades?
487.343
What is one sixth of a day in minutes?
240
How many nanoseconds are there in 0.2739249 days?
23667111360000
Convert 800548.6ml to litres.
800.5486
Convert 46158.9 seconds to minutes.
769.315
How many months are there in 75954.82 decades?
9114578.4
How many months are there in six fifths of a millennium?
14400
How many nanograms are there in eleven halves of a microgram?
5500
What is eleven halves of a microgram in nanograms?
5500
What is 2.76426 millimeters in nanometers?
2764260
How many millimeters are there in eleven eighths of a meter?
1375
How many millilitres are there in 0.3162085l?
316.2085
How many millimeters are there in 12/25 of a meter?
480
Convert 4671.4mm to nanometers.
4671400000
How many centimeters are there in three tenths of a meter?
30
What is 3305.646ns in hours?
0.000000000918235
What is 18485.5 seconds in microseconds?
18485500000
How many kilograms are there in nine tenths of a tonne?
900
How many nanograms are there in 27/2 of a microgram?
13500
How many millilitres are there in 647.2264l?
647226.4
What is 17.5394 kilograms in grams?
17539.4
What is 270823.5 minutes in seconds?
16249410
How many hours are there in 1/4 of a week?
42
What is 2344.107ml in litres?
2.344107
What is 58.35112 centuries in decades?
583.5112
What is 2/45 of a day in seconds?
3840
What is 11/8 of a millennium in months?
16500
How many millimeters are there in three fifths of a meter?
600
How many grams are there in 17/4 of a kilogram?
4250
Convert 7963.65 years to centuries.
79.6365
What is 51/4 of a week in hours?
2142
How many days are there in 2.0142315 hours?
0.0839263125
Convert 150097.6 litres to millilitres.
150097600
How many millilitres are there in 1/4 of a litre?
250
How many kilograms are there in 0.0661629g?
0.0000661629
How many millilitres are there in 51186.1l?
51186100
What is 352.7656m in micrometers?
352765600
How many nanometers are there in 71.63289mm?
71632890
How many micrometers are there in 11/8 of a millimeter?
1375
How many meters are there in twenty-three eighths of a kilometer?
2875
What is twenty-seven quarters of a millennium in decades?
675
Convert 98829.57ug to milligrams.
98.82957
Convert 142.20813 months to years.
11.8506775
Convert 9.185638t to nanograms.
9185638000000000
How many millimeters are there in 5/8 of a meter?
625
What is 63344.49s in nanoseconds?
63344490000000
What is twenty-seven halves of a litre in millilitres?
13500
What is 43/3 of a century in months?
17200
What is 1/4 of a centimeter in micrometers?
2500
What is 41/2 of a week in hours?
3444
How many kilometers are there in 24952.77cm?
0.2495277
What is 1158.799km in nanometers?
1158799000000000
Convert 0.8947024 centuries to millennia.
0.08947024
Convert 6.660869 nanograms to tonnes.
0.000000000000006660869
How many litres are there in 37.71766ml?
0.03771766
What is seven thirds of a decade in months?
280
Convert 6.549247ml to litres.
0.006549247
How many decades are there in 3/5 of a millennium?
60
What is 13/4 of a milligram in micrograms?
32
|
{
"pile_set_name": "DM Mathematics"
}
|
2*h**2
Collect the terms in -2 + 18*t**3 + 25*t**3 - 4 - 31*t**3.
12*t**3 - 6
Collect the terms in 23*u**2 - 38*u**2 - 2 + 0 - 58*u**2.
-73*u**2 - 2
Collect the terms in -8*l**2 + 8*l**2 + 11*l**3 - 15*l**3.
-4*l**3
Collect the terms in -4 - 76*f**2 + 71*f**2 + 4.
-5*f**2
Collect the terms in -1 + 0*p**2 + 43*p + p**2 - 43*p.
p**2 - 1
Collect the terms in -3*d**3 + 970*d**2 - 974*d**2 + 11*d**3.
8*d**3 - 4*d**2
Collect the terms in -12607*a - 12614*a - 12614*a + 37831*a.
-4*a
Collect the terms in -3704*s**2 - 2*s**3 + 3704*s**2.
-2*s**3
Collect the terms in 17*n**3 + 2 + 12*n**3 - 14*n**3 + 14*n**3.
29*n**3 + 2
Collect the terms in 564*a**2 - 1 + 1.
564*a**2
Collect the terms in 2*u + 1158 + 4*u - 1158.
6*u
Collect the terms in -v - v - 101 - v.
-3*v - 101
Collect the terms in -11*w - 1 - 43*w + 0.
-54*w - 1
Collect the terms in -2255*z - 8*z**2 + 2255*z.
-8*z**2
Collect the terms in 272*u + 357*u - 620*u.
9*u
Collect the terms in -7*u + 3*u + 11*u - 10*u.
-3*u
Collect the terms in 14*a - 33*a + 8*a + 13*a.
2*a
Collect the terms in -51*a**3 - 5*a**3 - 154*a**3.
-210*a**3
Collect the terms in 13256 - g - 6626 - 6630.
-g
Collect the terms in -59*g**2 + 31*g**2 + 42*g**2.
14*g**2
Collect the terms in 551*z**2 - 1101*z**2 + 553*z**2.
3*z**2
Collect the terms in -143*l**3 + 287*l**3 - 149*l**3.
-5*l**3
Collect the terms in 0*a**2 - 4*a**2 + 4*a**2 - 12*a**3.
-12*a**3
Collect the terms in 2*r - 5*r + r**2 + 3*r.
r**2
Collect the terms in -8*x**2 - 2*x**2 + 4*x**2 - 5*x**2.
-11*x**2
Collect the terms in 44*i + 1 - 5 + 4.
44*i
Collect the terms in 74*c**3 - 33*c**3 - 33*c**3.
8*c**3
Collect the terms in -3*h**2 - 7*h**2 - 21*h**2.
-31*h**2
Collect the terms in 166*r**2 - 1 + 1 + 0.
166*r**2
Collect the terms in -18*f + 14*f + 5*f + 3*f - f.
3*f
Collect the terms in -5*y**2 + 5*y**2 + 20*y**3 - 22*y**3.
-2*y**3
Collect the terms in 5*h**2 + 16*h**2 + 15*h**2.
36*h**2
Collect the terms in -15*z**2 + 17*z**2 + 39*z**2 - 3*z**2.
38*z**2
Collect the terms in 12*j + 0*j - j.
11*j
Collect the terms in -7*h**3 + 124*h - 124*h.
-7*h**3
Collect the terms in -5 - 10 - 7 + 22 - 22*b**2.
-22*b**2
Collect the terms in 9*y**3 + 59*y**3 - 26*y**3 + 46*y**3.
88*y**3
Collect the terms in 1439*w**3 - 470*w**3 - 494*w**3 - 473*w**3.
2*w**3
Collect the terms in -8*s - 5*s + 7*s + 6*s - 8*s**2.
-8*s**2
Collect the terms in -17*q**3 + 96*q**3 + 33*q**3.
112*q**3
Collect the terms in 3187*l**2 - 7*l**3 - 3187*l**2.
-7*l**3
Collect the terms in 5*d + 59*d - 3*d**2 - 64*d.
-3*d**2
Collect the terms in 2698*d**3 - 1345*d**3 - 1351*d**3.
2*d**3
Collect the terms in -4*t**2 + 4*t**2 - 2*t**2 + 3*t**2.
t**2
Collect the terms in -83*k**2 + 353*k**2 - 90*k**2 - 92*k**2 - 86*k**2.
2*k**2
Collect the terms in -2 + 1 + 1 + 12*y.
12*y
Collect the terms in 2*z**2 - z**2 - 4*z**2 + 6*z**2 - 2*z**2.
z**2
Collect the terms in 161*a**2 - 161*a**2 - 338*a**3 + 336*a**3.
-2*a**3
Collect the terms in 771906*b + 3*b**3 - 771906*b.
3*b**3
Collect the terms in -31*f**3 - 200*f**2 - 201*f**2 + 401*f**2.
-31*f**3
Collect the terms in 150*l - 3 + 3.
150*l
Collect the terms in -1306 + 1306 - 8*c.
-8*c
Collect the terms in -2 + 0*p**2 + 2 + 6*p**2.
6*p**2
Collect the terms in -53*d**2 - 2 + 6*d**2 + 6*d**2.
-41*d**2 - 2
Collect the terms in -454*g**3 + 824*g**3 - 372*g**3.
-2*g**3
Collect the terms in -7 - 14*m**3 + 7 - 44*m**3.
-58*m**3
Collect the terms in -26756 - 10*p + 26756.
-10*p
Collect the terms in -13 + 13 - 67*z.
-67*z
Collect the terms in 79*t**2 - 79*t**2 + 11*t**3.
11*t**3
Collect the terms in -s**2 - 7*s + 18*s - 11*s.
-s**2
Collect the terms in p - 30*p + 32*p - 6*p.
-3*p
Collect the terms in 32 - 14 - 6*h - 18.
-6*h
Collect the terms in -20*w - 53*w + 3*w.
-70*w
Collect the terms in -5*x**2 - 138 - 148 + 286.
-5*x**2
Collect the terms in 2988 + 9*h**3 - 2988.
9*h**3
Collect the terms in -12*b**2 + 5*b**2 + 6*b**2.
-b**2
Collect the terms in 23*x + 81*x + 61*x - 33*x.
132*x
Collect the terms in -3*g**2 + 3*g**2 + 235*g - 2*g**2.
-2*g**2 + 235*g
Collect the terms in 9*j**3 - 9*j + 9*j - 51*j**3.
-42*j**3
Collect the terms in 9*p + 8*p - 31*p + 11*p.
-3*p
Collect the terms in -294*v**3 - 3610 + 3610.
-294*v**3
Collect the terms in -47814*n + 47814*n - n**2 - n**2.
-2*n**2
Collect the terms in -18*z**2 + 10*z**2 - 3*z**2.
-11*z**2
Collect the terms in 0 - 1 + 1 + 6*h**2.
6*h**2
Collect the terms in -5*l - 2*l - 1 - 4*l + 5*l.
-6*l - 1
Collect the terms in 10*v**2 + 16*v**2 + 12*v**2.
38*v**2
Collect the terms in -v**3 + v**3 + 9*v**3 + 2*v**3.
11*v**3
Collect the terms in 17*k - 17*k + 107*k**2.
107*k**2
Collect the terms in -a + a - 119*a**2 + 120*a**2.
a**2
Collect the terms in 3*h**3 - 16 - 5*h**3 + 0*h**3.
-2*h**3 - 16
Collect the terms in 38*r - 3*r**2 - 9*r**2 - 60*r + 22*r.
-12*r**2
Collect the terms in 316*b - 6 + 3 + 0 + 1.
316*b - 2
Collect the terms in -x + 43*x**2 + 2*x - x.
43*x**2
Collect the terms in 4 - 106*s - 276*s - 3.
-382*s + 1
Collect the terms in -24*f**3 + 61*f**3 - 42*f**3.
-5*f**3
Collect the terms in -11102 + 11102 + 17*w**2.
17*w**2
Collect the terms in -298128 + 298128 + 6*g.
6*g
Collect the terms in 0*p**2 - 6*p**2 - 3*p**2 + 0*p**2.
-9*p**2
Collect the terms in 15 + 10*j - 2 - 12*j.
-2*j + 13
Collect the terms in 426*p**3 - 7 - 443*p**3 + 7.
-17*p**3
Collect the terms in -14*v**3 - 17*v**3 + 0*v**3 - 5*v**3.
-36*v**3
Collect the terms in -1180*n**2 + 1180*n**2 - 2*n**3 + 82.
-2*n**3 + 82
Collect the terms in 27*p + 40*p + 37*p - p**3 - 104*p.
-p**3
Collect the terms in 2*b - 4*b + 2*b + 3*b**2.
3*b**2
Collect the terms in -65*w + 4 + 5 - 4.
-65*w + 5
Collect the terms in -8382*h + 5*h**2 + 8382*h.
5*h**2
Collect the terms in -3714*r - 17*r**2 + 3714*r.
-17*r**2
Collect the terms in -6*h**2 + 27*h**2 + 3*h**2 + 26*h**2.
50*h**2
Collect the terms in 16*s - 5*s - s + 9*s.
19*s
Collect the terms in i**2 + 27*i - 2*i**3 - i**2.
-2*i**3 + 27*i
Collect the terms in g - 7 - 7 + 0*g.
g - 14
Collect the terms in -2*x + 8*x - 21*x + 9*x.
-6*x
Collect the terms in -52 + 33*c**3 - 32*c**3 + 12.
c**3 - 40
Collect the terms in 2*o + 0 + 12*o + 1 - 1.
14*o
Collect the terms in 39 + 421*n - 39.
421*n
Collect the terms in -2468*y + 3*y**2 + 2468*y + y**3 - 3*y**2.
y**3
Collect the terms in 1 - 11 + 6*l**3 + 19 - 4.
6*l**3 + 5
Collect the terms in 17*c - 189*c + 17*c.
-155*c
Collect the terms in -186*l**2 - 183*l**2 + 354*l**2.
-15*l**2
Collect the terms in 2*h**2 + 109*h - 109*h.
2*h**2
Collect the terms in 15*q**3 + 3*q**3 + 4*q**3 + 12*q**3.
34*q**3
Collect the terms in 0 + 0 + 293*a**3 - 289*a**3.
4*a**3
Collect the terms in 6*n - 3 + 3 - 24*n.
-18*n
Collect the terms in 153*r - 304*r + 155*r.
4*r
Collect the terms in 6 - 314*t - 2*t**2 - 2 - 4.
-2*t**2 - 314*t
Collect the terms in 13*k**2 + 16*k**3 - 13*k**2.
16*k**3
Collect the terms in c**3 - 4*c**3 + 76*c**2 - 38*c**2 - 38*c**2.
-3*c**3
Collect the terms in 103 - 52 - 51 - 2*t.
-2*t
Collect the terms in 14*n + 8*n - 22*n + 11*n**3.
11*n**3
Collect the terms in -o - 5*o**3 + 12*o**3 + 6*o**3.
13*o**3 - o
Collect the terms in 4*i**2 - 2*i**2 - 5*i + 5*i + 310.
2*i**2 + 310
Collect the terms in -4*m**2 + 3*m**2 - 2*m**2 - 3*m**2.
-6*m**2
Collect the terms in 240*b - 240*b - 61*b**2 + 22*b**2.
-39*b**2
Collect the terms in 38550 - 2*y**3 - 38550 + 3*y**3 + 2*y**3.
3*y**3
Collect the terms in 58*w - 20*w + 51*w + 0*w.
89*w
Collect the terms in -30*t**3 - 30*t**3 - 27*t**3 + 124*t**3 - 34*t**3.
3*t**3
Collect the terms in -3*i + 3*i + 1211*i**3.
1211*i**3
Collect the terms in 1287*p**3 + 1732*p**3 - 1063*p**3.
1956*p**3
Collect the terms in -1043 + 1043 - 14*o.
-14*o
Collect the terms in 375*t**2 + 7*t**3 - 11*t**3 - 375*t**2.
-4*t**3
Collect the terms in -21*d**3 - 9*d**3 - 105*d**3.
-135*d**3
Collect the terms in 4*h + 9*h - 5*h + 3*h.
11*h
Collect the terms in -5*c**2 - c**3 + 11*c**2 + 0*c**3 - 6*c**2.
-c**3
Collect the terms in -226972*h + 3*h**2 + 226972*h.
3*h**2
Collect the terms in 780 - 6*p**2 - 780.
-6*p**2
Collect the terms in -12*l**2 - 64*l**2 - l**2.
-77*l**2
Collect the terms in 478*b + 466*b - 945*b.
-b
Collect the terms in -20*k - 11*k + 32*k.
k
Collect the terms in -17*d**3 + 15*d**3 + 0*d**3.
-2*d**3
Collect the terms in 36*w + 13*w + 23*w - 51*w.
21*w
Collect the terms in -58*h**2 + 83*h**3 + 30*h**2
|
{
"pile_set_name": "DM Mathematics"
}
|
be 15 - (-10 - -2 - b). Let x = 10 + w. Is 10 a factor of x?
False
Let p(i) be the first derivative of i**4/4 - i**3/3 - 7*i**2 + 30*i - 15. Does 16 divide p(4)?
False
Suppose 3*q + 3 = 0, -3*q = 3*f - 7*f + 10923. Is f a multiple of 14?
True
Let z = -658 - -636. Is (z/14)/(16/(-1232)) a multiple of 7?
False
Let g = -93 + 99. Let x(p) = -15*p**3 - 11*p**2 + 30*p**3 - 14*p**3 - 4 - g*p. Is 10 a factor of x(12)?
False
Let p(s) = 24*s**2 - 4*s - 8. Is 4 a factor of p(9)?
True
Let i(h) be the third derivative of -5*h**4/24 + h**3 + 12*h**2. Let v be i(-18). Suppose u + 2*u = v. Is u a multiple of 24?
False
Let a = 9716 + -4599. Is a a multiple of 17?
True
Let i(x) = 4*x**2 + 66*x - 416. Let n be i(6). Let s be ((-5)/1)/((-5)/295). Let k = s - n. Does 18 divide k?
False
Suppose 0 = -3*n + 15 - 3. Suppose 5*a - 6 = n. Suppose 4*s + 306 + 238 = 4*k, -3*s = a*k - 272. Does 17 divide k?
True
Let v(g) = -26*g**3 - 12*g**2 - 25*g - 2. Is v(-2) a multiple of 13?
True
Suppose -887 = -4*o + 3*o + 4*r, 0 = 3*o + 2*r - 2703. Suppose -7*f = -109 - o. Suppose -i - f = -4*i. Is 16 a factor of i?
True
Does 3 divide ((-42)/(-8))/((-47793)/(-87560) - 120/220)?
False
Let s = -829 - -5526. Does 43 divide s?
False
Let o = 98 - 94. Suppose 83 - 217 = -r + o*v, 5*r - 5*v - 595 = 0. Is 57 a factor of r?
True
Suppose 2*b + 364 = 3*u, 7*u - 12*u + 612 = -2*b. Suppose u*d = 130*d - 7104. Does 26 divide d?
False
Suppose i + 30 = -4*k, 7*i - 2*i + 5*k = -45. Let h = 3 + -2. Is 50*h/i*-2 a multiple of 5?
True
Let k = 4 - -235. Let c = 393 - k. Does 22 divide c?
True
Let y(j) = j**2 + 5*j + 12. Suppose 0*p - 30 = -6*p. Let r be (0 - -5) + p + -5. Is y(r) a multiple of 31?
True
Let z = -12 + 17. Let t(l) = 26*l - 86. Does 9 divide t(z)?
False
Suppose 2*c - 20664 = -3*b, 5*b = -c + 6862 + 3491. Is 279 a factor of c?
True
Let k(o) = -o**3 + 8*o**2 + 11*o + 6. Let y be k(9). Suppose 5*t - 4*m = 59 - 17, 0 = -3*t + 3*m + y. Suppose 7*i + 99 = t*i. Is i a multiple of 11?
True
Let j(n) = n**3 - 11*n**2 + 7*n - 28. Let u(v) = -v**3 - 6*v**2 - 3*v - 7. Suppose 2 = -2*s, 2*b + 5*s - 7 = 4*b. Let k be u(b). Does 14 divide j(k)?
False
Let d = -3398 + 3464. Does 3 divide d?
True
Suppose 0 = 12*a - 9*a. Suppose 0 = -f + 5*b + 72, -2*f + 2*b - 6*b + 200 = a. Suppose -5*k = -3*k - f. Is 23 a factor of k?
True
Let m be (255/(-2))/3*2. Suppose -30*n + 445 - 2245 = 0. Let z = n - m. Is 11 a factor of z?
False
Let q(c) = c**3 + 5*c**2 + 5*c + 6. Let n be q(-4). Let i(d) = 35*d - 171. Let k be i(5). Suppose r - 458 = -3*v, k*r - 131 = -n*v + 181. Is 38 a factor of v?
True
Does 4 divide 135624/(-36)*-9*(-3)/(-18)?
False
Let j(h) = -21*h - 14. Let o be j(-1). Does 5 divide (o + 3)/(2/13)?
True
Is ((-9)/6)/(1238906/(-95300) + 13) a multiple of 15?
False
Suppose -3*c + 0*c = -4*x - 45, -c = -5*x - 70. Let h = x + 12. Is 21 a factor of 1170/14 - h/7?
True
Let m = -468 - -2190. Suppose n = -i - 3*i + m, -3*i + 1294 = 2*n. Is 37 a factor of i?
False
Suppose 5*z - 4*l = -56, 4*z + 0*l + 2*l = -24. Let o(u) = -2*u**2 - 12*u - 12. Let x be o(z). Let g = 20 - x. Is g a multiple of 16?
True
Suppose 5*z + 4*k - 16276 = 0, 5*z - 2*k - 8453 - 7799 = 0. Does 3 divide z?
True
Let m be -26*402/24 - (-2)/(-4). Let b = -389 - m. Is 20 a factor of b?
False
Let w be 1092/(-30)*-3*(-20)/(-6). Is 13 a factor of (1 - 1 - w/(-7))*6?
True
Let t(n) = n**3 - 11*n**2 - 18*n + 18. Suppose -3*b - 2*m + 33 = 0, -b - m - 16 = -2*b. Is t(b) a multiple of 7?
False
Let u = -21 - -21. Suppose -7*v - 4*v + 12870 = u. Suppose m = 19*m - v. Does 10 divide m?
False
Let u(v) be the third derivative of 17*v**4/12 - 49*v**3/6 + 58*v**2. Is u(4) a multiple of 13?
False
Let p be 175/10*(-4)/(-5). Suppose p*u - 456 = 11*u. Suppose 0 = t + 3*t - u. Does 14 divide t?
False
Let x(w) = 445*w**2 - 166*w - 747. Is 11 a factor of x(-5)?
False
Suppose -22*n = -29*n + 21. Suppose -n*w + 379 = 4*o - 0*o, 377 = 4*o + w. Is o a multiple of 14?
False
Let u be (-3 - -3 - -1)*2. Let a be 4*u*1/8 - -4. Suppose a*k - 2*p - 726 - 521 = 0, 501 = 2*k - 3*p. Is 32 a factor of k?
False
Let p = 10146 + -6080. Is p a multiple of 44?
False
Let t = -427 + 426. Is 47 a factor of 937 + (-1 - (-11 + 6)) + t?
True
Suppose -4*c - 850 = -8*j + 3*j, 5*j = -3*c + 885. Suppose -2*l - 5*v + j = -4*l, -5*l - v = 489. Let n = -11 - l. Does 29 divide n?
False
Suppose -22*t + 351120 = -22*t + 57*t. Does 154 divide t?
True
Is (-4710)/(-50)*(-7 - -17) a multiple of 6?
True
Let q = 61 + -59. Let h be (6/9)/(q/(-27)). Is (-5)/(35/(-62)) - h/63 a multiple of 3?
True
Suppose 0 = -5*g - 4*p - 147, -3*g + 2*p = -8*g - 141. Does 11 divide g/(-2)*(-126)/(-27)?
False
Suppose 0 = 2*n - 5*u - 64, 4*n = 2*u - 13 + 141. Is 8 a factor of 2/(-4) - 4/(n/(-1156))?
True
Let l(v) = 2*v**2. Let f be l(1). Let q(x) = -208*x + 24. Let o(z) = 44*z - 5. Let m(n) = 11*o(n) + 2*q(n). Is 29 a factor of m(f)?
False
Suppose 4*j = -5*i + 20, 5*i - 9*j - 20 = -8*j. Does 42 divide 5*27 - (-24)/i?
False
Suppose -3*q + 265 = 5*b + 32, -3*b + 135 = 3*q. Is 66 a factor of 363 - b/(14/(-2))?
False
Let f be ((-4)/6)/((-68)/36 - -2). Is 135/f*12/(-9) a multiple of 3?
True
Let s(j) = -j**3 - 25*j**2 - 12*j - 72. Let f be s(-25). Let h = f + -192. Is 9 a factor of h?
True
Let r be 4 + -4 - (0 + -1*4). Suppose 2*k - 169 = 3*h, r*k - 6*h = -h + 333. Is 11 a factor of k?
True
Let y(b) = 53*b - 265. Let q be y(5). Let x(f) = -8 + 25 + 3*f - 3*f + f - f**2. Does 2 divide x(q)?
False
Let b be 0 + 4/30 + 17/(3060/(-24)). Let i(n) = -n - 1. Let q(p) = -5*p - 86. Let w(u) = 6*i(u) - q(u). Is w(b) a multiple of 20?
True
Suppose -1239 - 616 = -7*l + 420. Does 18 divide l?
False
Let z = 105 + -101. Suppose -5*q = 5, 2*x = z*q - q + 115. Is x a multiple of 28?
True
Suppose 5 = 3*i - 16. Let t be (i - 3 - -183) + (1 - 0). Does 21 divide t - 0 - (-1)/1?
True
Let b = -177 - -178. Does 45 divide (27/6)/(7/70*b)?
True
Suppose -3*l + 17*l = -882. Is 13 a factor of (-18844)/l + 2/(-18)?
True
Let z = 26 - 21. Suppose -3*p + c - 7 = 0, c = -p + z*c - 6. Does 22 divide (p - 2) + 456/4?
True
Let q(r) = 13*r**2 - 139 - 40*r**2 - 7*r + 18*r**2 + 10*r**2. Is 26 a factor of q(-31)?
False
Let t(v) = v**3 - 5*v**2 + 5. Let i be t(0). Let w be -2 - (-3)/(9/156). Suppose 0 = -p + 2*y + 15, -3*p = 2*p - i*y - w. Does 2 divide p?
False
Let n(g) = -34*g**3 - 13*g**2 + 6*g - 1. Let b be n(-4). Suppose -l = -3*a + 2920, -a + 3*a = -3*l + b. Is 24 a factor of a?
False
Let f(k) = -19*k - 53. Let l be f(-4). Suppose -y = 4 - 1. Is 9 a factor of l + (-1)/y*3 + -1?
False
Suppose -2*q + 1162 = -1474. Let s(d) = 2*d**3 + 50*d**2 - 123*d - 401. Let a be s(-27). Suppose 0 = w + a*w + 2*v - q, -4 = 4*v. Is 47 a factor of w?
False
Let y = -60 - 314. Let g = 147 - y. Suppose 2*m = 5*p + 6*m - g, p - m - 106 = 0. Is p a multiple of 35?
True
Let h(n) = n**2 + n - 152. Let m be h(-13). Suppose -3*s - 3*l + 657 = 0, -m*s = -2*l - 180 - 678. Is s a multiple of 12?
True
Let u = -441 + 441. Suppose -3*n + g = 2*n - 4144, u = n - g - 832. Is n a multiple of 6?
True
Let f = 1122 + 4088. Does 35 divide f?
False
Suppose 0*u = -2*u. Let r be 32/(-144) - (-2505)/(-27). Is 26 a factor of (11 - r)*(u - -1)?
True
Let u(o) = 16*o - 92. Let g(p) = 3*p + 2. Let m(i) = 10*g(i) + 2*u(i). Is m(19) a multiple of 13?
True
Suppose 8*v - 4*v + 2*x - 4376 = 0, -5*x = -20. Let r = -651 + v. Does 49 divide r?
True
Let h be -4*(-3)/6*-2. Let c be (-3)/(h/(-4)) + 50. Let q = c - 23. Is 8 a factor of q?
True
Let u(h) = -28 + 20*h - 5*h**2 + 4*h**2 + 25 - 12. Is 15 a factor of u(15)?
True
Suppose 4*g = -5*f + 188 + 280, 0 = 4*f - 16. Suppose -4*a = 3*n + n - g, -a + 3*n = -48. Is a a multiple of 2?
False
Let q = 107 + -104. Suppose -q*z + 0*z - z = 0. Suppose -2*f + z*f + 108 = 2*x, -2*f + 109 = 3*x. Is 10 a factor of f?
False
Let w(k) = -2*k**2 - 2*k + 2. Let o be w(0). Let s be (3/o)/((-12)/(-11904)). Suppose -2*p = -18*p + s. Is p a multiple of 31?
True
Let i = -1180 - -690. Let s = -326 - i. Is s a multiple of 10?
False
Is 22 a factor of (-170)/(-1) + (-1)/((-10)/40)?
False
Let f = -1657 - -1962. Let v(x) = 3*x**2 - x - 1. Let l be v(2). Suppose -8*t - f = -l*t. Does 34 divide t?
False
Let d(g) = -14*g + 5*g + g**3 - 1043*g**2 + 1045*g**2 + 53. Is 64 a factor of d(6)?
False
Let t(b) = 35*b**2 - 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
2*g**3 - 3*g**2 + g + 1. What is -11*a(b) - h(b)?
-b**3 - 197*b**2 + 2*b
Let a(v) = -961933*v**2 + 786*v - 655. Let h(c) = -14799*c**2 + 12*c - 10. Calculate 2*a(u) - 131*h(u).
14803*u**2
Let f(b) = -14*b**3 - 4*b**2 + 10*b + 2. Let i(x) = 13*x**3 + 3*x**2 - 8*x - 2. Give 3*f(t) + 4*i(t).
10*t**3 - 2*t - 2
Let a(l) = -2*l**2 - 3*l + 4. Let z(h) be the first derivative of 5*h - 2*h**2 - 2/3*h**3 + 144. Determine 3*a(j) - 2*z(j).
-2*j**2 - j + 2
Let v = -27246 + 27247. Let j(w) = 1. Let l(a) = -3*a - 3. Give v*l(f) + 5*j(f).
-3*f + 2
Let t(q) = -3*q**2 - 4*q. Let d(r) = 4*r - 232. Let j be d(59). Suppose a = -3*f + 8, j*a - 3 + 19 = 0. Let b(i) = -5*i**2 - 8*i. Calculate f*b(m) - 7*t(m).
m**2 - 4*m
Let i(q) = 17*q**2 - 269*q + 19. Let v(f) = -19*f**2 + 267*f - 22. Determine -8*i(s) - 7*v(s).
-3*s**2 + 283*s + 2
Let r(p) = -p - 29. Let x(t) = -1. Let o = 523 + -522. Determine o*r(u) - 5*x(u).
-u - 24
Let h = 8514 + -8038. Let r(j) = 868*j + 238. Let y(o) = -11*o - 3. Determine h*y(z) + 6*r(z).
-28*z
Let q(h) = 2*h - 9. Let t(k) = k - 4. Let y(c) = 4*c + 27. Suppose 0*n = -0*n - 2*n. Let z be y(n). Suppose 5*p + 4*p + z = 0. Determine p*q(d) + 7*t(d).
d - 1
Let b(c) = -82*c**2 + c - 1. Let l(f) = -478*f**2 - 105*f - 7. Determine 6*b(a) - l(a).
-14*a**2 + 111*a + 1
Let c(i) = -20*i**2 - 7*i - 26. Let f(a) = 6*a**2 + 2*a + 8. What is 4*c(m) + 14*f(m)?
4*m**2 + 8
Let z(m) = -278187*m. Let q(i) = -6785*i. Determine 245*q(l) - 6*z(l).
6797*l
Let n = 12 - 6. Let t(c) = -c**3 - 6*c**2 + 5*c - 5. Let w(i) be the first derivative of -i**4/2 - 7*i**3/3 + 3*i**2 - 6*i + 31809. What is n*t(g) - 5*w(g)?
4*g**3 - g**2
Let b be (-3)/6 + 10/(-4). Let z be (-154)/(-30) + (-608)/4560. Let j(a) = 4*a**2 + 11*a - 4. Let t(w) = 2*w**2 + 6*w - 2. Determine b*j(n) + z*t(n).
-2*n**2 - 3*n + 2
Let n(f) = 1. Suppose 0 = 3*w + 711 + 489. Let z = w + 403. Let k(p) = p - 5. Give z*n(u) + k(u).
u - 2
Let m(r) = 2*r**2 - 6*r + 3. Let v(s) = s**3 + 7*s**2 - 18*s + 10. Suppose -214*u - 529 + 1347 = -680. What is u*m(q) - 2*v(q)?
-2*q**3 - 6*q + 1
Let m(o) = -64*o**2 - 3*o + 3. Suppose -314*g = 4*x - 310*g - 44, 3*x + 7 = 2*g. Let n(u) = -u**2 + u - 1. Give x*n(t) + m(t).
-67*t**2
Let x(m) = 4*m - 7. Let u = -2 - -5. Let n(o) = -2*o + 6*o - 2 - u*o + 1. Let s = -1596 - -1602. What is s*n(b) - x(b)?
2*b + 1
Let w(u) = -u + 36. Let j(i) = 5*i + 7. What is j(l) - 3*w(l)?
8*l - 101
Let o(u) = -15*u - 1. Let x(s) = -76*s - 698. Calculate 15*o(i) - 3*x(i).
3*i + 2079
Let v = 32 + -32. Let m = v - 2. Let p(h) = h + 2. Let k(c) = -18*c + 37*c - 18*c. Give m*k(b) + p(b).
-b + 2
Let h(g) = -g - 1. Let f(l) = 3*l. Suppose 7*i = 36 + 6. Suppose -4*a = -3*n - 7*a - i, -2*n = a + 1. What is n*h(z) - f(z)?
-4*z - 1
Let h(i) = i**3 + 4*i + 3. Let t(k) = 45*k**3 - 24*k - 59. Give 6*h(f) + t(f).
51*f**3 - 41
Let u(d) = -d**3 + d**2 + 2*d - 1. Let a(o) = o**3 + 4*o**2 + 12*o + 21. Give a(n) - 6*u(n).
7*n**3 - 2*n**2 + 27
Let z(d) = 15*d**2. Suppose -3*l = x + 13, 20 - 4 = -4*x. Let v(r) = 16*r**2. Calculate l*z(w) + 2*v(w).
-13*w**2
Let k(s) = -18*s**3 + 6*s**2 - 6*s + 5. Let x(q) = 21*q - 35*q**3 + 32*q - 6*q**2 + 17*q**2 + 9 - 64*q. What is 11*k(z) - 6*x(z)?
12*z**3 + 1
Let o(y) = -65*y**2 - 9*y + 67*y**2 + 34 - 29. Let r be o(1). Let l(b) = -10*b - 2. Let k(i) = -i. What is r*k(u) + l(u)?
-8*u - 2
Let b be (500/(-150))/(14/(-6) - -2). Let q(z) = -38*z + 37*z + 5 - b + 6. Let t(j) = 11*j - 1. Determine 3*q(s) + t(s).
8*s + 2
Let t(s) = 11*s - 1263. Let f(o) = 14*o - 1579. Let k(l) = -4*f(l) + 5*t(l). Let p(b) = 3*b**2 - 4*b - 4 + 0*b**2 + 3. Calculate 4*k(d) - p(d).
-3*d**2 + 5
Suppose 0 = y + 7 - 3. Let z(f) be the first derivative of -2 + 3*f + 0*f**3 + 3/2*f**2 - 5/4*f**4. Let g(d) = 6*d**3 - 4*d - 4. Determine y*z(h) - 3*g(h).
2*h**3
Let a(f) = -4*f**3 + 9*f**2 - 5*f - 5. Suppose 19*b - 48 + 35 + 108 = 0. Let v(n) = -2*n**3 + 5*n**2 - 3*n - 3. Determine b*v(i) + 3*a(i).
-2*i**3 + 2*i**2
Let s(a) = 4*a**3 + a**2 + a - 5. Let j(g) = 8696*g**3 - 8695*g**3 + 3 - 2. Calculate 5*j(p) + s(p).
9*p**3 + p**2 + p
Let x(z) = -48*z - 1697. Let i(m) = 38*m + 1696. Determine -5*i(j) - 4*x(j).
2*j - 1692
Let z(p) = 8*p**2 - 7*p - 4. Let n(g) = 19*g**2 - 18*g - 7. Give 3*n(k) - 7*z(k).
k**2 - 5*k + 7
Let d(f) = f**3 - 11*f**2 + 6. Let g(u) = -121 + u**2 - 6*u**2 + 4*u**2 + 120. What is -d(j) - 6*g(j)?
-j**3 + 17*j**2
Let h = 479 - -85. Let r(k) = -h + 14*k + 564 - 4*k. Suppose -93 = -17*u + 9. Let c(f) = -f. Calculate u*r(z) + 55*c(z).
5*z
Let b(g) = -28 + 159*g - 195*g + 38*g - 13. Let m(p) = -3*p + 61. Determine 8*b(n) + 5*m(n).
n - 23
Let c(q) = -18*q. Let p be (-216)/18 - (-9 - 2). Let s(r) = -r. Calculate p*c(k) - 4*s(k).
22*k
Let i(p) = -5*p**2 - 3. Let s(n) = n**3 + 16*n**2 + 62*n + 18. Let a be s(-6). Let m(k) = -k**2 + 1. Determine a*m(w) + 2*i(w).
-16*w**2
Let d(u) be the first derivative of -22*u**3/3 + 3*u**2/2 - 10099. Let r(c) = -11*c**2 + 2*c. Determine -3*d(a) + 5*r(a).
11*a**2 + a
Let u(t) = 2251*t + 6. Let o(d) = 11246*d + 35. What is -2*o(q) + 11*u(q)?
2269*q - 4
Let k(d) = -3*d + 5. Let x(t) = -4*t - 15. Let a be x(-9). Suppose -12*f = -10*f - 40. Let m(c) = 9*c - f*c + 8 - c + 13. Give a*k(i) - 5*m(i).
-3*i
Let a(o) = -7821*o**2 - 7*o - 7. Let b(p) = -34920766*p**2 - 31256*p - 31256. Give -31256*a(y) + 7*b(y).
7814*y**2
Let x(z) = 68*z**3. Let r(k) = -34*k**3. Suppose 168*d - 148*d - 100 = 0. Calculate d*r(b) + 3*x(b).
34*b**3
Let r(l) = 6*l**2 + 31*l + 12. Let w(g) = 9*g**2 + 46*g + 17. Determine -10*r(d) + 7*w(d).
3*d**2 + 12*d - 1
Let q(v) = 29*v - 235. Let n(i) = -34*i + 236. Give 6*n(t) + 7*q(t).
-t - 229
Let g(p) = 30*p + 1129. Let q(h) = 70*h + 2632. Determine 16*g(c) - 7*q(c).
-10*c - 360
Let s(m) = -24*m - 40. Let y(b) = b + 1. Suppose 130*j = 132*j + 4*n - 100, -5*n = -25. Determine j*y(z) + s(z).
16*z
Let h(s) = -s**2 + 1. Let q be (-72)/(-33) - -3 - (-50)/(-275). Let w(t) = -6*t**2 - 2*t + 5. Determine q*h(x) - w(x).
x**2 + 2*x
Let c(z) = -2961*z + 34. Let p(q) = 5921*q - 57. Calculate 5*c(y) + 3*p(y).
2958*y - 1
Let c(n) = -2*n - 7. Let p(d) = 3*d + 7. Suppose 22*g = 21*g - 5*a - 5, 0 = -2*g + 2*a + 14. What is g*c(z) + 4*p(z)?
2*z - 7
Let n(p) = -595*p**2 + 190. Let r(d) = 65*d**2 - 21. Give -6*n(y) - 55*r(y).
-5*y**2 + 15
Let s(l) = -8. Let p(y) = 10*y + 69. Give p(g) + 9*s(g).
10*g - 3
Let z(d) = -28*d + 568*d**2 - 567*d**2 - 2569 + 2570. Let y(q) = -3*q**2 + 56*q - 2. Determine 2*y(p) + 5*z(p).
-p**2 - 28*p + 1
Let i(q) = -2*q + 10. Let g = -130 + 134. Let l(d) = 2 + 0 + g - 5. Calculate i(y) - 5*l(y).
-2*y + 5
Let p(l) = -37*l**2 - 7*l + 15. Let f(q) = -29*q**2 - 7*q + 14. Determine -3*f(n) + 2*p(n).
13*n**2 + 7*n - 12
Let t(x) = -52*x. Let z(k) = -96*k - 2. Calculate 5*t(n) - 3*z(n).
28*n + 6
Let a(m) = 2*m**2 + 2. Let x(b) be the first derivative of -2*b**3/3 - b - 2536. What is -4*a(p) - 5*x(p)?
2*p**2 - 3
Let a(q) = 8*q**2 + 65*q - 54. Let i be a(-9). Let m(h) = -5*h + 1. Let n be m(1). Let d(f) = -13*f + 2. Let l(g) = -6*g + 1. What is i*l(b) + n*d(b)?
-2*b + 1
Suppose 5*p - 400 = -11*p. Suppose l - p = 5*h - l, 5*l = -h - 5. Let j(c) = -c**2 + c + 4. Let t(u) = u + 3. Determine h*t(i) + 4*j(i).
-4*i**2 - i + 1
Let q(z) = -47*z**2 - 9. Let f(p) = 185*p**2 + 36. Calculate 2*f(a) + 9*q(a).
-53*a**2 - 9
Let t(s) = 10*s**3 + 42*s**2 + 195*s + 65. Let h(k) = -5*k**3 - 21*k**2 - 90*k - 32. Determine -13*h(d) - 6*t(d).
5*d**3 + 21*d**2 + 26
Let i(g) = 4*g**3 + 11*g**2 + 8*g - 11. Let k(p) = -14*p - 468. Let b be k(-35). Let m(u) = u**3 + 3*u**2 + 2*u - 3. Give b*m(l) - 6*i(l).
-2*l**3 - 4*l
Let k(j) = 291*j**3 + 11*j + 11. Let t(y) = 97*y**3 + 4*y + 4. Give 3*k(s) - 8*t(s).
97*s**3 + s + 1
Let s(j) be the third derivative of j**5/60 + j**4/24 + j**3/6 + 13*j**2. Let m = -1138 - -1137. Let u(n) = -6*n**2 - 4*n - 6. Determine m*u(z) - 4*s(z).
2*z**2 + 2
Let q(p) = 80 + 3*p + 5 - 2 - 83. Let v(c) = c**2 + 2*c. Give -6*q(f) + 9*v(f).
9*f**2
Let t(n) = -7*n - 1. Let i(l) = -l. Let p be 1 + -1 + 0 + 0. Let o = 2117 + -2114. Suppose 0 = 3*f + 2*f + d + 18, 2*f - o*d + 14 = p. Give f*i(r) + t(r).
-3*r - 1
Let w(a) = -2349*a + 2. Let u(n) = -7050*n + 6. Determine -6*u(z) + 19*w(z).
-2331*z + 2
Let f(w) = 4*w + 4. Let t(l) = 4*l - 110 + 58 + l - 4*l + 53. What is -2*f(s) + 7*t
|
{
"pile_set_name": "DM Mathematics"
}
|
- m - 4*m. Solve -y + n = 110 for y.
-5
Suppose 4*p - 7*p = 5*n - 37, 4*n + p - 31 = 0. Solve 5*j + 2 = -n for j.
-2
Let d = -1 - -11. Suppose 0*l + 2*h + 34 = 4*l, l = 2*h + d. Solve 5*v - l = 7 for v.
3
Suppose -2 + 14 = 3*d. Suppose -x = -k + 2*x + 11, 6 = -3*k - d*x. Suppose -2*a = k*a. Solve o + 4*o - 5 = a for o.
1
Let i(y) = -7*y - 7. Let j(w) = -27*w - 27. Let r(v) = -9*i(v) + 2*j(v). Let x be r(-1). Solve x*d + 4*d = 0 for d.
0
Let q = 69 + 8. Let w be 106/22 - (-14)/q. Suppose -11 = m + 5*o - o, 0 = 4*m + o - 31. Solve -w*x + m = -16 for x.
5
Let m(d) = -3*d. Let a be m(2). Let i(h) = -4*h + 8. Let q be i(6). Let u = a - q. Solve 4*z + 22 = u for z.
-3
Let s(g) = 4*g. Let m(l) = 5*l + 1. Let z(c) = 3*m(c) - 4*s(c). Let q be z(3). Solve 0 = -q*v + 3*v - 6 for v.
2
Let w be 6/(-21) + 60/14. Suppose -n = 3*n - w. Solve -q + 2 = -n for q.
3
Suppose 2*h - 6*f = -f + 16, h + 3*f - 8 = 0. Let o be (-11)/((-220)/h)*10/4. Solve -o = -n - 6 for n.
-5
Let o(i) = i + 5*i**2 + 12*i**2 - 14 - 2*i + i**3. Let w be o(-17). Solve -5*b = 12 + w for b.
-3
Let a be 120/54 - (-2)/(-9). Suppose 0 = -2*d + 3*d - 5*d. Let o be -1 - 2/(4/(-14)). Solve -o*t + a*t + 4 = d for t.
1
Let c(v) = v + 3. Let w(t) = t**3 - 7*t**2 - 6*t - 19. Let f be w(8). Let j be c(f). Solve -b - 2*b + 15 = j for b.
5
Let i(c) = 2*c**3 - 6*c**2 - 7*c + 6. Let z be i(4). Let r be (4/z)/((4/5)/4). Solve 2*x - 2 = r for x.
2
Suppose -v - 2*x + 33 = 0, 5*v = x + 3*x + 123. Let b = v + -24. Solve 7 = -b*i - 8 for i.
-5
Let y = -30 + 120. Let v be y/(-12)*(-16)/10. Solve 0 = -3*l - v for l.
-4
Let v(a) = 5*a + 4*a - a - 14 - 5*a. Let y be v(6). Solve -d + 20 = y*d for d.
4
Let u be (-136 - -128) + (10 - 0). Let w be 2/(-9) - (-4)/18. Solve w = -u*q - q for q.
0
Let c = 53 + -51. Suppose 0 = -c*n - 19 + 35. Solve n = 6*w - 2*w for w.
2
Suppose -u = 2, 16*u + 17 = 5*z + 15*u. Solve 2*x - z*x - 3 = 0 for x.
-3
Let p(a) = a**2 + 3*a - 6. Let f be p(-5). Suppose -31*o + 34*o = 15. Solve o*u + 4 = f*u for u.
-4
Suppose 2*p - 9 - 41 = 0. Let u = p + -17. Let y be u/32 - 1/4. Solve y = 2*w - 4 for w.
2
Let h = -244 - -247. Solve 10 - 1 = -h*b for b.
-3
Let z = 60 - 65. Let k(g) = 2*g**2 + 9*g - 3. Let b be k(z). Solve -3 = c + b for c.
-5
Let s(v) = 5*v**2 + 4*v - 3. Let h(c) = -c**2. Let i(j) = -6*h(j) - s(j). Let t be i(3). Suppose t*p = 2*p. Solve -5*u + 2*u + 15 = p for u.
5
Suppose -213*t + 205*t = -72. Solve t*m - 1 = 8*m for m.
1
Let k be 33/7 + (-2)/(-7). Suppose 17*m - 7 = 44. Suppose 4*z - 2*z - m*y - 20 = 0, 3*z + k*y - 30 = 0. Solve i - z = -5 for i.
5
Let t(a) = -11*a**2 + 46*a + 63. Let b(u) = -5*u**2 + 23*u + 31. Let v(r) = 13*b(r) - 6*t(r). Let f be v(-22). Solve -f*h = 2*h + 25 for h.
-5
Suppose 25*p = 39*p. Solve 7*h - 8*h = p for h.
0
Let d be 140/40 + (-3)/(-6). Solve 4*z - 6*z - d = 0 for z.
-2
Let a = 35 - 17. Let x be ((-8)/a)/(10/(-45)). Solve 5*q - x = 8 for q.
2
Let b(y) = y**2 - 10*y + 3. Let t be b(4). Let o = 21 + t. Suppose k - 5*k + 12 = o. Solve 5 = 4*h - k for h.
2
Suppose 5*f - 30 = -4*r, r - 8 = -3. Suppose -3*x = -3, -f*l + l = -3*x - 12. Solve 8*h = 3*h - l for h.
-3
Suppose a - 4*u + 15 = 0, 8*a + 2*u - 13 = 3*a. Let o be 7/2 + (-2)/(-4). Solve -o = -x + a for x.
5
Suppose 4 = 2*l + 2, 11 = 4*h + 3*l. Solve 0 = 3*q + h + 1 for q.
-1
Suppose -15*v + 239 = 14. Solve -2*t = -5*t - v for t.
-5
Let d = -95 + 99. Solve -2*g - d = -4*g for g.
2
Let l(f) = f**2 + 19 - 9*f**2 + 37*f + f**2 + 5*f**2. Let h be l(19). Solve h = 2*u - 6 for u.
3
Let l(c) = c**3 + 2*c**2 - 5*c - 2. Let v be l(-3). Suppose -106*j = -112*j + 18. Solve -2 - v = -j*r for r.
2
Let d = -110 - -115. Solve -f - d = -2*f for f.
5
Suppose -5*n + 44 = -3*x + x, -3*n + 2*x + 28 = 0. Solve 4 = -v + n for v.
4
Suppose -109*y = -86*y - 230. Solve -2*m = 8*m - y for m.
1
Let i(x) = -10*x + x**3 + 18 + 0*x**2 + 0*x**2 - 3*x**2 - 4*x**2. Let z be i(8). Solve -z = -0*a - a for a.
2
Let y = 14 - 5. Solve -o = -4*o + y for o.
3
Let p be 2/(-6) + (-250)/15. Let y = p - -14. Let u be 3/2*(-4)/y. Solve -o = -3 - u for o.
5
Suppose 0 = 2*v - 3 - 1. Suppose 0 = -4*m + 3*z + 47, 3*m - v*m - 18 = 2*z. Suppose 96 = -5*p + m*p. Solve 4*t + 12 = p for t.
5
Let o(g) = 2*g**3 - 43*g**2 - 29*g + 160. Let q be o(22). Solve -5*t = -11*t + q for t.
1
Let x(f) = -f**3 + 3*f**2 + 13. Let n be x(4). Let o be (-4)/(-22) + 6/99*n. Solve o = a - 3*a + 8 for a.
4
Let b be 14/8 - (-3)/12. Suppose -19*q - 35 = -263. Solve p = -b*p - q for p.
-4
Suppose -l + 2*m = -2*l + 11, m = 2*l - 2. Let h = -23 - -25. Suppose 0*o = -h*d - o + 3, 0 = 5*d + o - 3. Solve 2*i + l*i - 15 = d for i.
3
Let s = -59 + 92. Let a be (s/44)/((-1)/(-4)). Suppose a*n + u - 23 = -3*u, -3*n = 3*u - 18. Solve -3 = g + n for g.
-4
Let v = 56 - 24. Suppose 4*m = 20, -4*s + 0*m - 4*m + v = 0. Solve 0 = -s*f + f + 6 for f.
3
Suppose -3*d = 4*b - 1, 2*b = 4*d - 7 + 35. Solve 0 = b*i - 5*i + 4 for i.
4
Suppose 4*o - 2*o - 20 = 2*q, -3*o + 5*q + 20 = 0. Suppose -5*t = 4*y - 21, -4*t + 1 - 5 = -2*y. Let d be 1 - t - 1/(3/(-9)). Solve -d*f = -0*f + o for f.
-5
Suppose s - 3 = -1. Solve 2*r + s*r = -0*r for r.
0
Suppose j + 5 = d, 0 = 2*j - 3*j - 4*d + 20. Suppose j = w - 3*w + 28. Let i be (-4)/w + (-60)/(-14). Solve i*u = -u + 25 for u.
5
Let b(i) = i**3 - i**2 - 5*i - 1. Let f be b(3). Let a(g) = g**3 - 2*g**2. Let j be a(f). Solve 2*u = -j*u + 8 for u.
4
Suppose 0 = w - 6 + 8. Let r be (-2)/(-3)*(-2)/(w/15). Solve -1 = -3*i - r for i.
-3
Let t(s) = 2*s**2 - 3*s - 5. Let p(u) = -7*u - 2. Let y be p(-1). Let b be t(y). Suppose j - 5*h + 6 = 0, j + 5*h = -4*j + b. Solve -n - 25 = j*n for n.
-5
Let k be (-2*14/(-4) - 4) + -1. Solve k = 8*l - 6 for l.
1
Suppose 2*j - 2*o = 46, 0 = -5*j - 78*o + 74*o + 106. Solve -8*m + 19*m - j = 0 for m.
2
Suppose -12 = -4*o - 3*x, 2*o - 7*x + 3*x - 6 = 0. Solve -o*u + 6 = -0 for u.
2
Let t(c) = c - 7. Let u be t(14). Let o(q) = q**2 - 9*q + 14. Let z be o(u). Solve z = -n + 5*n for n.
0
Let p(s) = s**3 + s**2 + 4. Let n be p(0). Solve -10*b + n = -9*b for b.
4
Suppose -6 = -n + 2. Suppose 49*j = 51*j - n. Suppose -3*k - 3*x = -j*k + 5, -6 = -k + 4*x. Solve 0 = k*v + 2*v for v.
0
Let r be (-2)/8*-2*0/(-242). Solve -2*d + 4*d + 10 = r for d.
-5
Let i(q) = q + 9. Let p be i(-9). Suppose -2*o + 0 + 4 = p. Solve -o*g = g for g.
0
Suppose -5*u + 7*u - 12 = 0. Let y(o) = -o - 8. Let i be y(u). Let l = 18 + i. Solve -3*f = -l - 2 for f.
2
Suppose -w = -o - 4, o = -5*w + 14 - 0. Solve 14 = w*p + 11 for p.
1
Let o be 38 + -24 + (-7)/(-1). Solve 0 = o*i - 20*i for i.
0
Let n(t) = -t**3 - 4*t**2 + 4*t - 1. Let p be n(-5). Let z(m) be the second derivative of m**3/6 - 11*m. Let x be z(0). Solve -g + p + x = 0 for g.
4
Let i be -2*(-12)/16*2. Suppose -5*f = 4*g - 11, i*f - 4 - 6 = g. Suppose -f = -n + 3. Solve 2*z = -z - n for z.
-2
Let b be 2/(-4)*(-1 + -9). Let a be -2*(10/4)/b. Let s be a/3*(-18 - -6). Solve -3*t = -2*t - s for t.
4
Let n be (1 - 1)/(4/2). Let j be (-2 + -1)*3/9*-3. Solve n*u - j*u = 0 for u.
0
Let h(d) be the second derivative of -d**5/20 + d**4/12 - d**3/3 + d**2 - 32*d. Let j be h(0). Solve -a + 0 = j for a.
-2
Let a be ((-6)/2 + 3)/(-1). Let o = a + 2. Suppose -5*u - 2*j + 9 = -1, -3*j = 3*u - 15. Solve u = o*y - y for y.
0
Suppose -4*q + 9 = 3*t, -t - 5*q - 15 = -6*t. Suppose -t = -5*a - 4*m, -24 = -4*a + a + 5*m. Let g be (-3)/(-3) - -1*3. Solve -f + a*f = -g for f.
-2
Suppose -3*m + 10 = -m - 2*f, -25 = 4*m + 5*f. Let k = 2 + -1. Solve m = c + k + 1 for c.
-2
Let o(m) = 8 + 0 + 6 + 2 + m. Let a(u) = -u**3 + 3*u**2 + 6*u + 7. Let t be a(5). Let s be o(t). Solve 2*y + 2 = s*y for y.
2
Suppose 0 = -11*y + 9*y - 16. Let a(i) = i + 11. Let z be a(y). Suppose z*t + 10 = 8*t. Solve -8 - 2 = t*g for g.
-5
Let t(h) = -6*h**3 + 2*h**2 + h. Let p be t(-1). Suppose 2*f + 15 = p*f. Suppose 5*q + 4*m + 2 = -1, -q = 5*m + 9. Solve -q = l - f for l.
2
Suppose -4*d + 2*d = 3*q - 12, 3*q + 3*d - 9 = 0. Suppose 3*m + 5*y + 26 = q*m, -5*m + 2 = 2*y. Suppose 4*z = m*z + 8. Solve z*l = -2 - 6 for l.
-2
Let d(b) = 92*b**2 + 2 - 3 + 4*b - 93*b**2. Let z be d(3). Solve z*w - 4 = -0 for w.
2
Let o(z) = z**3 + 8*z**2 - 28*z - 238. Let c be o(-6). Solve -6*f + c = 14 for f.
-2
Let o(k) = 34*k - 3. Let y be o(1). Let m = 37 - y. Solve j = -j + m for
|
{
"pile_set_name": "DM Mathematics"
}
|
Let m = -13/36 + 1/9. Let h = -6 + 5.8. Let i = 2.8 - h. Sort -0.1, m, i in descending order.
i, -0.1, m
Let w = -0.2 + 0. Let h = 0 + w. Let y = h + 0.6. Sort 0.2, y, 0.
0, 0.2, y
Let c = -0.048 - -6.148. Let a = c + -0.1. Let p = -5 + a. Sort p, 2, -4 in decreasing order.
2, p, -4
Let m = 2 + -1. Sort 4, m, 3 in decreasing order.
4, 3, m
Let j = 2203/15 + -147. Sort 3, j, -2 in increasing order.
-2, j, 3
Let u(d) = -d + 7. Let p be u(9). Let o be 2/(-1)*(-1)/p. Let a be 2*(-2 - o) + 6. Sort 0.4, a, 1 in increasing order.
0.4, 1, a
Let v be 8/36 + (-188)/36 + 3. Suppose o = 3*q - 8*q + 22, -8 = -q - 2*o. Suppose -q*y = 4, 2 + 15 = 5*f + 3*y. Sort f, -4, v.
-4, v, f
Let d be -3 - 0 - 22/(-8). Put 1/7, -0.5, d, 2/7 in ascending order.
-0.5, d, 1/7, 2/7
Suppose 5 = -3*s - t, -13 = 5*s - 2*s + 5*t. Sort 5, s, 1 in ascending order.
s, 1, 5
Let l(h) = -h**3 - 8*h**2 - h - 6. Let d be l(-8). Sort -6, -4, 4, d.
-6, -4, d, 4
Let m = -343 + 2405/7. Suppose 9 - 61 = 3*q + 5*i, 5*i + 25 = 0. Let h = q + 21/2. Sort -0.5, m, h.
-0.5, m, h
Let g be (-27)/5 - (-18)/45. Sort -2, 2, g in descending order.
2, -2, g
Suppose 107*b - 12 = 110*b. Sort 2/23, 5, b, -0.5.
b, -0.5, 2/23, 5
Let w(i) = -i**3 + 3*i**2 + i - 7. Let v be w(3). Sort v, 3/4, 0.2 in descending order.
3/4, 0.2, v
Let r = 3 - 0. Sort 4, -1, r.
-1, r, 4
Let w = 1056430340 - 140507481243/133. Let l = w - -16887. Let z = 2/7 + l. Put z, -5, -2/5 in descending order.
z, -2/5, -5
Suppose a + 3 = 7. Let j(t) = 3*t**3 + 8*t**2 - 3*t + 5. Let g(h) = 5*h**3 + 15*h**2 - 5*h + 9. Let x(l) = -4*g(l) + 7*j(l). Let r be x(a). Sort r, 4, -4.
r, -4, 4
Let n = 4.821 + 0.179. Let o = 3 - 2.8. Put n, 4, o in decreasing order.
n, 4, o
Suppose -10*w + 20 = -6*w. Sort 0.2, -1/5, w in ascending order.
-1/5, 0.2, w
Let o = 189 + -190. Suppose 2*v = -5*l + 40, -5*v - 10 = -3*v. Suppose -5*f + l*f - 5 = 0. Sort f, 2, o in ascending order.
o, f, 2
Let x be (-3 - 38/(-10))/((-12)/30). Sort 4, 5, x in decreasing order.
5, 4, x
Let m be (12/(-18))/((-4)/(-6)). Sort -3, 4, 0, m in descending order.
4, 0, m, -3
Let d(l) = -15*l + 115. Let k be d(8). Let j be 4/((-2 - -1)*1). Sort k, 4, j.
k, j, 4
Suppose m - 2*m = -1. Suppose -3*t = -4*t - 3. Sort t, m, 4.
t, m, 4
Let i = 20 + -19.5. Sort 2/7, i, 1/6, -18 in descending order.
i, 2/7, 1/6, -18
Let y = 9 - 0. Put 0, -2/7, y in descending order.
y, 0, -2/7
Let f be 0 - 3/(-9)*-6. Sort f, -3/2, 5 in decreasing order.
5, -3/2, f
Let i be (-2)/(-9) - 957/(-3834). Let x = i + 2/71. Let f = -592/3 + 197. Sort x, f, 0.2.
f, 0.2, x
Suppose 2*k = -l - 4, 3 = 2*l - 2*k - 1. Let o be 423/(-135) + (-4)/(-30). Sort -4, l, o in decreasing order.
l, o, -4
Let z = -2242/5 - -448. Let w(l) = l - 5. Let b be w(3). Sort b, z, -2/7 in decreasing order.
-2/7, z, b
Let g(n) = -n**3 + 5*n**2 - n + 10. Let b be g(5). Suppose 4*q - 6 + 22 = 0. Put b, 1, q in decreasing order.
b, 1, q
Suppose -11 = -21*y + 10. Suppose -3*m = -2 + 8. Put y, m, -0.4 in decreasing order.
y, -0.4, m
Let r = 0.03 - -1.97. Let g be (-1)/7*-8*2/(-8). Put r, g, 6 in increasing order.
g, r, 6
Let g = -15 - -26.6. Let m = 12 - g. Sort -0.08, -0.3, m.
-0.3, -0.08, m
Let i = 5 - 3. Suppose -5*v + 5 = 0, -4*v - i = 5*g - 1. Put g, -3, -2 in descending order.
g, -2, -3
Suppose 0 = -4*q - 4*f + 4, -2*q + 5*q + 15 = 3*f. Put -0.5, -0.1, q in increasing order.
q, -0.5, -0.1
Let y = 132.2 + -132. Let s = 4 + 0. Put s, -0.5, y in decreasing order.
s, y, -0.5
Let l(x) = -x**2 + x + 11. Let f be l(0). Let r = 6 - f. Let q(u) = u**3 - u**2 + 1. Let t be q(1). Put -1, r, t in decreasing order.
t, -1, r
Let k be (-7)/3 - (-2)/6. Suppose -4*g + 8*g - 4 = 0. Sort g, -3, k.
-3, k, g
Let m = 1.1 - 1.7. Let k = 0.3 + m. Put k, 0.2, 5 in increasing order.
k, 0.2, 5
Let f be (-1)/(-2 - (-5)/3). Suppose 1 + 2 = -f*a. Let o = 6 - 11. Sort o, -1/6, a in descending order.
-1/6, a, o
Suppose -4*a = -5 - 3. Let d = 0.5 - 1. Sort d, a, 2/3 in ascending order.
d, 2/3, a
Let m = -53 - -53.4. Let b be 1*(4/18)/(-2). Sort m, b, -0.1 in descending order.
m, -0.1, b
Let c = -2 - -2.1. Let k = 21.41 - 0.41. Let h = -20 + k. Put h, -2, c in increasing order.
-2, c, h
Suppose 2 = s - 2. Suppose 3*d - 4 = 5. Suppose s = -d*j + 5*j. Sort j, -2, -5.
-5, -2, j
Suppose d - 3*y = -11, 3*d - 1 - 16 = -y. Let h be 9/6*(3 + -1). Suppose -3*t = -4*u + 2, -h*u = 3*t - 2*t - 8. Put d, 5, t in increasing order.
t, d, 5
Suppose -a - 5 = -0*a. Put a, 5, -4, 1 in decreasing order.
5, 1, -4, a
Let x = 10 + -3. Let y = x + -3. Let f = -2.4 + 2. Sort y, f, 1 in decreasing order.
y, 1, f
Let l be (-1)/(8/10)*-12. Let v be 2/(3 - l/6). Let y = -3 - -5. Put y, v, -4 in ascending order.
-4, y, v
Let y = 2.2 - 2. Let p = -1.6 + 1.5. Put p, -5, y in increasing order.
-5, p, y
Suppose 3*d + 0*d = 3. Sort d, 0, 3 in descending order.
3, d, 0
Let y = 132/7 - 688/35. Let q(h) = -5*h - 2*h**2 + h**2 - 4*h + 2*h + 4. Let a be q(-7). Sort a, 5, y in increasing order.
y, a, 5
Let m = -0.14 - -0.34. Suppose -13 = 3*c + 5. Let l be 18/12*16/c. Put 3, l, m in decreasing order.
3, m, l
Let w = -0.34 + 0.04. Let r = -2 - -5. Let g = 0.213 + -3.213. Put g, r, w in increasing order.
g, w, r
Let o(w) = w**3 + 6*w**2 - 5*w + 9. Let v be o(-7). Let z = -47 - -36.1. Let c = z - -11. Put v, 3, c in descending order.
3, c, v
Let q(n) = n**2 - 5*n - 14. Let f be q(7). Sort f, 7, -1.
-1, f, 7
Suppose 5*g - 5*l + 5 = 0, 2*g + 11 = l - 2*l. Let h be (2 - 1)/(-1) + 3. Let k be (-4 + 1)*h/(-3). Put k, g, -3 in decreasing order.
k, -3, g
Let m = 1.3 - 0.8. Put m, 1, 3 in decreasing order.
3, 1, m
Suppose -3*d = -5*b - 9, -4*b + 3 = -2*d + 3*d. Suppose -4*p + 2*t - 15 = d*t, 2*t = -p + 5. Put -2, 6, p in decreasing order.
6, -2, p
Let m = 16.01 + -16. Let w be ((-3 - -4)*-1)/(-4). Put 0.1, m, w in decreasing order.
w, 0.1, m
Let r be ((-2)/5)/(1/5). Let a be (2/1)/2 - r. Let d be (-115)/255 + 1/a. Put -3, d, -1/2 in ascending order.
-3, -1/2, d
Let l(u) = -2*u. Let c be l(2). Suppose 11*m - 57 = -35. Put 12, m, c in decreasing order.
12, m, c
Let a = -8.68 + -0.32. Sort 3, 0.2, a in descending order.
3, 0.2, a
Let f be -1 - (2/(-2))/1. Let z be 0/(-4) + -1 - 2. Put -5, f, z in increasing order.
-5, z, f
Let l(t) = -t**3 + 9*t**2 - 13*t - 4. Let b be l(7). Put 1, 4, b in descending order.
4, b, 1
Let g(x) = x**2 + 3*x - 1. Let n(b) = -b**2 - 3*b + 7. Let v be n(-5). Let d be g(v). Let c = 0 + 1. Sort 0, d, c.
d, 0, c
Let t be 1*3*(-2)/10. Let r = -11.3 - -11.6. Sort r, t, -1 in increasing order.
-1, t, r
Suppose 13 + 7 = 5*b, 2*b - 4 = 2*c. Suppose c*y = -2*y + 12. Put -1, y, 1/4 in ascending order.
-1, 1/4, y
Let s be 15/4 - (66/24 - 3). Put 2, -3, s, -48 in ascending order.
-48, -3, 2, s
Let s = 934/57 - 49/3. Put -0.5, 0.5, s, 0.1 in decreasing order.
0.5, 0.1, s, -0.5
Let v = 17 + -21. Sort 0.4, v, 1 in decreasing order.
1, 0.4, v
Suppose -5*w + 10 = 2*c - 13, 0 = -4*w - 5*c + 32. Let k be ((0 + 0)/3)/(-3). Suppose 8 + k = -2*l. Sort l, w, -1.
l, -1, w
Let a be (2 - 4) + (-48)/(-21). Let u = -3 + 2.5. Let o = 5 + -2. Put u, o, a in descending order.
o, a, u
Suppose 2*d = 3*d + 1. Sort d, 1, -5 in increasing order.
-5, d, 1
Suppose 2*b + 220 = 4*q, -54 = 2*b - 2*q + 160. Let u = -413/4 - b. Suppose -5 = 3*f - 4*f. Sort f, 1/3, u in descending order.
f, u, 1/3
Suppose 0*m + 4*m + 2*w + 22 = 0, 0 = m - w - 2. Let y be 20/3 - m/9. Let p = 9 - y. Sort p, -0.5, 3 in descending order.
3, p, -0.5
Let v be 8/(-44) - 312/(-22). Let p = 12 - v. Let f(c) = 3*c - 1. Let n be f(2). Put n, 1, p in decreasing order.
n, 1, p
Let i be 60/(-14) - (-2)/7. Let j be (-94)/18 - i/18. Sort 0.1, j, -3 in descending order.
0.1, -3, j
Let o = 0.2 + -0.3. Suppose 0 = 5*r - 3*q + 8 + 14, 0 = r + 3*q - 10. Let m = 3.3 + -3. Sort r, o, m in decreasing order.
m, o, r
Suppose 2*x = -0*x + 12. Let k = 4 + -1. Let c = x - k. Sort 0, c, -1 in decreasing order.
c, 0, -1
Let m be 2 + (5/(-20))/((-3)/(-32)). Put m, 2/15, -0.4, -6/11 in decreasing order.
2/15, -0.4, -6/11, m
Suppose -16 = -2*x + 2*o, -5*x - 8 = -2*x + 5*o. Suppose 0*f - 5*f + 70 = -2*p, -3*f + 42 = 5*p. Suppose -3*h = -2 + f. Put x, h, -2 in ascending order.
h, -2, x
Let v = -6.82 - 0.18. Let a = -10 - v. Let q = -10 + 21/2. Sort q, a, 3 in descending order.
3, q, a
Let p(m) = m + 59.
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - 17*x**2 wrt x?
-2160*x**3
Let r(q) = 580*q**3 + 6*q**2 - 332*q + 18. Let p(d) = -387*d**3 - 4*d**2 + 221*d - 11. Let i(a) = -11*p(a) - 7*r(a). Find the third derivative of i(y) wrt y.
1182
Let x(b) = 3*b**2 - 11*b - 11. Let j be x(-1). Suppose 4*r - 10 = 26. What is the derivative of 8 + 4*q**j - r*q**3 - 8*q**3 wrt q?
-39*q**2
What is the derivative of -42*v**2 + 10*v**2 - 33*v**2 + 44*v**2 - 5*v - 1046 - 104*v**2 wrt v?
-250*v - 5
What is the second derivative of -215*s + 429*s**2 + 403*s - 595*s + 4 wrt s?
858
Let j = -243 - -310. Find the second derivative of -38*d**4 - 11*d - 65*d**3 - 43*d**4 + 8*d + j*d**3 + 4 - 11*d wrt d.
-972*d**2 + 12*d
Let i be (-3 + 5)*1 - -4. Let x be (-2)/i + (-60)/(-18). Find the second derivative of -14*f + 12*f**4 - 98*f**x - 94*f**3 + 192*f**3 wrt f.
144*f**2
Let a(c) be the third derivative of 2*c**2 - 1 - 4*c**3 + 0*c - 7/6*c**4. Find the first derivative of a(w) wrt w.
-28
Suppose 220 = 20*v + 26 - 86. Let w(n) be the second derivative of -7/6*n**3 + 6*n**2 + v*n + 0. What is the first derivative of w(k) wrt k?
-7
Let t(k) be the first derivative of -105 + 0*k**2 + 0*k**4 + 256/3*k**3 + 0*k - 25/6*k**6 + 4/5*k**5. Find the third derivative of t(i) wrt i.
-1500*i**2 + 96*i
Let f(c) be the first derivative of -c**6/6 - c**5/5 + 22*c**3/3 + 2*c - 1527. What is the third derivative of f(q) wrt q?
-60*q**2 - 24*q
Find the third derivative of 6*v + 3284*v**5 - 5*v - 8560*v**2 + 6396*v**2 wrt v.
197040*v**2
Let h be (-2 - 1)*(-10)/30. Let p(f) = f. Let o(k) = -27*k**5 - 59*k. Let x(v) = h*o(v) + 2*p(v). Find the second derivative of x(l) wrt l.
-540*l**3
Let z(t) = -272*t**3 + t**2 + 1427*t + 9. Let i(l) = 134*l**3 - l**2 - 714*l - 4. Let j(q) = 9*i(q) + 4*z(q). What is the second derivative of j(h) wrt h?
708*h - 10
Let k(g) be the second derivative of -37*g**7/21 + 29*g**3/3 - 7*g**2/2 - 3*g + 28. Find the second derivative of k(q) wrt q.
-1480*q**3
Let p(w) be the second derivative of 4*w**8/7 - 4*w**6/15 + 55*w**4/6 + w**2/2 + 1805*w. Find the third derivative of p(b) wrt b.
3840*b**3 - 192*b
Let q(o) be the third derivative of 0 + 7/30*o**5 - 1/6*o**3 + 0*o + 17/12*o**4 + 60*o**2. What is the second derivative of q(a) wrt a?
28
Differentiate 296*d + 1109*d - 90*d - 3433 with respect to d.
1315
Let i be (-4)/20 - (-19)/(-5). Let p be (-4 - (2 + i))*-1. What is the second derivative of 42*o - 8*o**p - 35*o - 2*o**2 wrt o?
-20
Let h(l) = -197*l - 5457. Let n(i) = 5710*i + 158265. Let t(f) = 175*h(f) + 6*n(f). What is the derivative of t(a) wrt a?
-215
Let a(m) be the second derivative of -m**6/30 + 111*m**5/20 - m**3/3 - 105*m**2/2 + 2*m - 284. Find the second derivative of a(h) wrt h.
-12*h**2 + 666*h
Let w(h) be the third derivative of h**9/945 - h**5/24 - 2*h**4 - 6*h**2 - h. Let f(u) be the second derivative of w(u). What is the derivative of f(m) wrt m?
64*m**3
Let l(g) be the third derivative of 0*g**6 + 5/3*g**4 + 0 + 0*g + 1/2*g**3 + 0*g**5 - 53/105*g**7 - 138*g**2. What is the second derivative of l(u) wrt u?
-1272*u**2
Suppose 6*j = v + 7*j - 6, 5*j + 34 = 3*v. Find the first derivative of 54*n**2 - 104*n**2 + v - 3 + 5 wrt n.
-100*n
Let q(j) be the first derivative of 0*j**2 - 25/4*j**4 + 0*j - 131/3*j**3 + 53. Find the third derivative of q(s) wrt s.
-150
Let w(n) be the first derivative of -28*n**2 + 127*n**2 - 8*n**2 - 3*n**3 + 172. Find the second derivative of w(o) wrt o.
-18
Let z(p) be the first derivative of 0*p**2 - 17 + 109/4*p**4 + 0*p**3 - 15*p. Find the first derivative of z(n) wrt n.
327*n**2
Let q(x) be the first derivative of 1139*x**3/3 + 2644*x - 1783. Differentiate q(r) wrt r.
2278*r
Let j(f) = 9*f**2 + 110*f + 1534. Let t(x) = -23*x**2 - 220*x - 3068. Let v(z) = -7*j(z) - 3*t(z). Find the first derivative of v(a) wrt a.
12*a - 110
Let m(c) be the third derivative of 5*c**9/168 - 3*c**8/112 - 824*c**5/15 + 144*c**2 - 6*c. What is the third derivative of m(s) wrt s?
1800*s**3 - 540*s**2
Let k(h) be the second derivative of -h**6/30 + 587*h**5/5 + 4045*h**2 + 5414*h. What is the derivative of k(n) wrt n?
-4*n**3 + 7044*n**2
Let p(r) = 1338*r + 5742. Let f(c) = 5390*c + 22968. Let l(x) = -4*f(x) + 18*p(x). Differentiate l(y) wrt y.
2524
Let t(x) be the second derivative of -2*x**6/15 - 133*x**5/5 + 5*x**4/12 - 50*x**3/3 - x**2 + 134*x - 9. What is the third derivative of t(p) wrt p?
-96*p - 3192
Let q(l) = 17*l**2 - 54*l - 2284. Let y(x) = 19*x**2 - 54*x - 2283. Let r(z) = 6*q(z) - 5*y(z). What is the first derivative of r(h) wrt h?
14*h - 54
Let i(n) = 612*n**2 - 147*n - 15. Let t(g) = 609*g**2 - 133*g - 16. Let d(q) = 6*i(q) - 7*t(q). Find the second derivative of d(z) wrt z.
-1182
Let h(s) be the third derivative of -49*s**5/10 + 359*s**3/3 - 928*s**2. Find the first derivative of h(d) wrt d.
-588*d
Let w(c) = 7988*c**2 - 36*c - 10212. Let f(u) = -7*u**2 + 2*u. Let o(a) = -18*f(a) - w(a). What is the derivative of o(x) wrt x?
-15724*x
Find the second derivative of -54*j + 2516*j**4 - 843*j - 873*j - 651*j**4 wrt j.
22380*j**2
Suppose 2*l + 23 = 27. What is the third derivative of 401*p - 401*p - 25*p**3 + 25*p**l wrt p?
-150
Suppose -5*d + 224 = 5*z + 34, 0 = -4*d + 5*z + 179. Find the third derivative of 161*g - 329*g + 165*g + 2*g**2 + d*g**4 - 8*g**2 wrt g.
984*g
What is the third derivative of 691*l**2 - 7*l**4 + 7*l**4 - 1040*l**5 - 172*l**5 - 7*l**2 wrt l?
-72720*l**2
Let m = -293 + 295. What is the second derivative of -18*w**m - 33*w + 37*w - 5 + 7 wrt w?
-36
Suppose -29 = 64*j - 65*j. What is the third derivative of 25*y**3 + j*y**3 + 4*y**3 + 68*y**2 wrt y?
348
Find the second derivative of -3*b**4 + 1418*b**3 + 527*b**2 - 1732 - 3*b - 209*b**2 - 318*b**2 wrt b.
-36*b**2 + 8508*b
Suppose -3*z + 394 + 443 = 0. What is the second derivative of z*m**2 + 33*m - 2 - 208*m**2 - 4*m wrt m?
142
Let z = 142 + -140. Find the second derivative of z*h**2 - 22*h**2 + h + 30 - 7*h**2 wrt h.
-54
Let g(y) be the third derivative of 73*y**8/336 + y**7/70 + 143*y**4/8 - 391*y**2 + 2*y. Find the second derivative of g(w) wrt w.
1460*w**3 + 36*w**2
Suppose -g - b = -1601 + 254, 4*g + b - 5382 = 0. What is the first derivative of 4*l**2 - g*l**4 + 1348*l**4 + 4*l**2 - 142 + 11*l**2 wrt l?
12*l**3 + 38*l
Let t(o) be the first derivative of 1566*o**2 - 4514*o + 3408. What is the first derivative of t(p) wrt p?
3132
Let l be 1 + -1 + 10/5 - 20. Let h = l + 32. Find the third derivative of -d**6 - 5*d**2 - 14*d**2 - h*d**6 wrt d.
-1800*d**3
Suppose -13*h + 1531 = 1232. Let z(f) be the second derivative of 0*f**3 + 0 - h*f - 3/2*f**4 - 9/2*f**2. Differentiate z(t) with respect to t.
-36*t
Suppose 16*m = 21*m. Suppose m = -2*i + 12 + 6. What is the second derivative of -5*j**3 + 17*j + 14*j**3 - 19*j**4 - i*j**3 wrt j?
-228*j**2
Suppose 0 = -55*g + 61*g - 12. What is the second derivative of -517*s + s**g - 8*s**4 + 129*s + 272*s wrt s?
-96*s**2 + 2
Suppose 29*v - 2095800 = v. What is the second derivative of -70*a - 74850*a**3 + 14*a**4 + v*a**3 wrt a?
168*a**2
Find the first derivative of -2065 - 13*d**3 - 31*d**4 + 365 - 150 wrt d.
-124*d**3 - 39*d**2
Suppose 4*i + i = 180. Let r = i + -32. Find the third derivative of -k**2 + 4 - r + 5*k**6 wrt k.
600*k**3
Suppose i + 3*x - 63 = 0, -4*i = 3*x - 116 - 181. Let a = -76 + i. What is the third derivative of 37*p**4 - 48*p**a + 41*p**4 - 78*p**4 + 23*p**5 wrt p?
1380*p**2
Suppose -f = -t - 77 - 28, 4*f + 4*t - 444 = 0. Let a = f + -81. What is the second derivative of 9 - 36*k + a*k + 2*k**2 - 9 wrt k?
4
Let w(l) = 4*l**2 + 2*l - 5. Let b be w(-2). What is the first derivative of 2*g - g**2 - 33 - 5*g + b*g - 18 wrt g?
-2*g + 4
Let a(c) be the third derivative of -67/3*c**3 + 0*c - 4*c**2 - 30 + 1/60*c**5 + 7/24*c**4. Find the first derivative of a(o) wrt o.
2*o + 7
Let b(j) be the second derivative of 263*j**7/7 - 13*j**4 - j**2/2 + 5192*j. Find the third derivative of b(p) wrt p.
94680*p**2
Let j(k) = -k**3 - 6*k**2 - 12*k - 9. Let u be (0 + 1)/(39/(-12) - -3). Let w be j(u). Differentiate -w*q**3 - 19 + 3*q**3 - 3*q**3 + 3 with respect to q.
-21*q**2
Let w(t) be the second derivative of -394*t**5/5 + 28*t**4 - 1195*t. Find the third derivative of w(i) wrt i.
-9456
Let u(m) be the second derivative of -13*m**6/15 + 3*m**5/20 - 235*m**3/
|
{
"pile_set_name": "DM Mathematics"
}
|
the units digit of h?
7
Let j(l) = 79*l**2 + 2*l. What is the tens digit of j(1)?
8
Suppose 13 = -u + 2*i - 3, -8 = -4*i. Let j = u - -22. What is the units digit of j?
0
Let o(c) = c**3 - 5*c**2 + 2*c - 2. Let b be o(4). Let u = b + 12. What is the units digit of u?
2
Let y = 511 - 300. What is the tens digit of y?
1
Let d(u) = -5*u**2 + u**3 + 2*u - 5*u - 4*u + 6. Let v be d(6). Suppose 0 = 3*m - 4*i - 50, 3*i + 15 = v. What is the tens digit of m?
1
Suppose 5*t - 428 = -r - 18, -3*t + 3*r + 228 = 0. Suppose t + 59 = 5*i. What is the units digit of -2*1*i/(-8)?
7
Suppose -30 = -2*a - 8. What is the tens digit of a?
1
Let u be -177*(-4)/6*1. Suppose 3*j = 2*j - 2, -3*j + u = 4*v. What is the units digit of v?
1
Let n be 52/(-6) + 6/9. Let s be 15/10*-2*1. Let t = s - n. What is the units digit of t?
5
Suppose -5*z - 3*k = -15, -z - 3*k + 15 = 2*z. What is the units digit of 2*(z + -1) - -10?
8
Let w(k) = k**3 + 3*k**2 + 1. Let m be w(-4). Let c = m + 27. Suppose 0 = -5*y - d + 22, -3*y + 4*d + c = 2*y. What is the units digit of y?
4
Let u(l) be the second derivative of l**4/12 + 2*l**3/3 + l**2 - 3*l. What is the units digit of u(-5)?
7
Let s(g) = -2*g**2 - 1 + 3*g**2 - 2 - 3*g. Let p be s(3). What is the units digit of -1 - 10*p/3?
9
Suppose 5*z = -14 - 6. Let y be 6*5/(30/(-8)). Let q = z - y. What is the units digit of q?
4
Suppose -c + 2*w + 3*w = 23, 0 = w - 5. Suppose i - 3*i + 22 = c*z, -i + 56 = 4*z. Suppose -5*x + z = 0, -x - 1 = -2*r + 10. What is the units digit of r?
7
Let a(d) = d**3 + 8*d**2 - 3. What is the units digit of a(-7)?
6
Let w = 103 + 15. What is the units digit of w?
8
Suppose 0 = -3*b - 45. Let l = b - -30. What is the tens digit of l?
1
Let d(l) = -l**2 - l + 4. Let x be d(5). Let z = -10 - x. What is the tens digit of z?
1
Suppose 0*k = -5*k - p + 61, k + 2*p - 14 = 0. Let a be (6/(-4))/(k/(-16)). Suppose -o = o - a. What is the units digit of o?
1
Suppose p = l, 2*l + 6*p = p + 21. Suppose 42 = l*x - 78. What is the tens digit of x?
4
What is the tens digit of ((-13)/13)/((-2)/146)?
7
Let i be (-40)/6*(1 + -4). Let o(p) = p**2 + 15*p + 17. Let m be o(-14). Suppose 4*b = 3*b + 5*u - i, m*b - 10 = u. What is the units digit of b?
5
Suppose 2*i - 10 = 0, -2*s - s - 4*i = -104. What is the units digit of s?
8
Let k be (-2 - 0/2) + 2. Suppose -4*n + k*n = -32. Suppose 2*x = u + 7, 20 = -4*u + n. What is the units digit of x?
2
Let k(i) = i + 3. Let u be k(3). Let x = u + -16. What is the units digit of 2/x - 61/(-5)?
2
Suppose 5*u - 4*h + 0*h = 22, 0 = -u - 2*h - 4. What is the units digit of 1/(u/4)*4?
8
Let h(w) = -w**2 - 8*w - 1. Let u be h(-6). Let v be (2*-1)/(4/(-6)). Suppose -u = -3*y + 5*a, 3*y + 2*y + v*a - 7 = 0. What is the units digit of y?
2
Suppose -5*y = 4*p - 20, 0 = -p - 3*p. What is the units digit of y?
4
Let v be 4/12 - 26/6. Let j = v + 7. What is the units digit of j?
3
Let o(p) = -p**2 - 10*p + 4. Let v be o(-10). Let c = 4 + -1. Suppose -c*d + 5*i = -18, -5*d + i = -4 - v. What is the units digit of d?
1
Let q = 273 - 124. What is the tens digit of q?
4
What is the tens digit of -1*(-2 - -120)/(-2)?
5
Suppose -g + 12 = -5*t, -4*g - 12 = -7*t + 2*t. Suppose m = 2*m - 14. Let d = g + m. What is the units digit of d?
6
Let z = -405 - -579. What is the tens digit of z?
7
Let g(w) = 7*w**2 - 2*w - 1. Let o be g(-1). Let u = o - 11. Let l = u + 6. What is the units digit of l?
3
Let q be 360/(-27)*6/(-4). Suppose -15*c = -q*c + 210. What is the tens digit of c?
4
Let m(i) = 19*i**2 - 8*i - 22. What is the units digit of m(-3)?
3
Let s(k) = k**2 - 10*k + 16. Let f be s(8). Let a(r) be the second derivative of r**3/6 + 4*r**2 - r. What is the units digit of a(f)?
8
Let f = 7 - 6. Suppose s - 2 = -f. What is the units digit of s?
1
Suppose -3*d - 564 - 972 = -5*v, 4*d = -4*v + 1216. What is the hundreds digit of v?
3
Let i(z) = -39*z + 11. What is the hundreds digit of i(-3)?
1
Suppose 2*h = 2*o + 167 - 17, -324 = -4*h - 2*o. What is the units digit of h?
9
Let w = 76 + -21. What is the units digit of w?
5
Let u = 18 - 18. Suppose -3*z = 6 - 18. Suppose -i - 5*t = -u*i + 19, -z*t = 5*i + 11. What is the units digit of i?
1
Let a(u) = 10*u**2 - 3*u + 2. What is the units digit of a(1)?
9
Let m(u) = -u - 4. Let b(v) = -3*v - 9. Let z(f) = 2*b(f) - 5*m(f). Let s = 5 - 10. What is the units digit of z(s)?
7
Suppose 0 = o + 3*o. Let w(m) = -4*m**2 - 3*m + 24. Let h(a) = a**2 + a - 8. Let y(f) = -7*h(f) - 2*w(f). What is the units digit of y(o)?
8
What is the hundreds digit of 1845/12 + (-3)/4?
1
Suppose 3*j = -15, -h + j + 37 = h. Suppose -4*w + 0 = h. Let i(f) = -5*f - 6. What is the units digit of i(w)?
4
Let q(h) = -h - h + 3*h + 3. Let y be q(0). Suppose y*d - 6*d = -6. What is the units digit of d?
2
Suppose 4*j - 744 = 2*j. What is the tens digit of (-4)/(-14) - j/(-21)?
1
Let f(a) = -a**3 - a**2 - 2*a - 5. What is the units digit of f(-3)?
9
Let d = 10 - 12. What is the units digit of (-3)/d*(12 + -10)?
3
Suppose -y + 3*k = -20, -10 = -y + k + 2. What is the units digit of y?
8
Let h(o) = -9*o. Let b be h(-1). Suppose 0 = b*g - 7*g - 50. What is the units digit of g?
5
Let g(k) = k**2 + 3*k + 5. Let o be g(-2). Suppose -2*v + 3 = t, 2*t - o = -v + 9. What is the units digit of t?
7
Let f(x) = -6*x + 12. Let j be f(11). What is the tens digit of (-2)/9 + (-2280)/j?
4
Suppose 4 - 34 = -5*y. Let b = 2 + -4. Let m = b + y. What is the units digit of m?
4
Let v be -3*3/(12/(-16)). What is the units digit of (v/(-10))/(6/(-135))?
7
What is the tens digit of 61 + 3 + -6 + 0?
5
What is the units digit of -1 - 27/((-9)/3)?
8
Let w = 115 - 66. Let r = 71 - w. Suppose 3*v + 65 = 5*k - 0*v, -2*k + r = -2*v. What is the units digit of k?
6
Let u = -6 + 11. Let s = u + -8. Let k(g) = -g**3 - 4*g**2 - 5*g - 4. What is the units digit of k(s)?
2
Let q(h) = -h + 8. Let y be q(12). Let x = y + 15. What is the tens digit of x?
1
Let b(y) = 3*y - 5*y**2 + 0*y**3 - 2*y + 3 + y**3. What is the units digit of b(5)?
8
Suppose -5*z = -0*z. Suppose 4*o = -z*o - 32. What is the units digit of o/(-12) - (-10)/3?
4
Suppose 4*l + 60 = 9*l. What is the tens digit of 32/l*6*2?
3
Suppose 4*f + 5 = -15. Let q(g) = 2*g**3 - 7 - 9*g + g - g**3 + 4*g**2. What is the units digit of q(f)?
8
Let h(p) = p - 2. Let i be h(4). Let o be 0/(2/i*-2). Suppose 0 = -u + 5*d - 8, 0 = -2*d - o*d + 4. What is the units digit of u?
2
Suppose 3*g - 231 = 2*g + 3*k, 466 = 2*g - 5*k. What is the units digit of g?
3
Let p(n) = n**2 - 4*n - 2. Let t be p(2). What is the units digit of 1*-6*4/t?
4
Let y be 1*(-1 - -2) - -2. Let o be (-3)/y - (-2)/2. Suppose o = -2*d + 25 - 9. What is the units digit of d?
8
Let v(c) = 50*c**2 - c. What is the hundreds digit of v(2)?
1
Suppose -4*r + q + 1287 = 0, 5*r - 5*q = r + 1299. What is the hundreds digit of r?
3
Let w(b) = 9*b + 26. What is the units digit of w(7)?
9
Suppose -2*d - 4 = -d. What is the tens digit of d/(-18) - (-4620)/108?
4
Let x(j) = j**2 - 3*j + 6. Let g be x(4). Let n be 5/(g/(-24)) - 0. Let z = 17 + n. What is the units digit of z?
5
Let z be (-6 + 6)/(3 - 1). Suppose o + 3 = 0, 12 = 3*s - z*o + 3*o. What is the units digit of s?
7
Let r = -19 - -20. What is the units digit of r?
1
Suppose -j = -4 - 4. Suppose 3*b = 7*b - j. What is the units digit of b - 3 - 7/(-1)?
6
Suppose -5*f + 20 = 15. Let n(s) = 44*s - 1. What is the units digit of n(f)?
3
Let y(t) = -4*t - 14. What is the tens digit of y(-6)?
1
Let a(o) = o**3 - 2*o**2 - 4*o + 3. Let t be a(3). Suppose -29 = -s + 3*n, -3*s + n + 38 + 25 = t. What is the tens digit of s?
2
Let i = 11 + 1. Suppose i = h - 2. What is the tens digit of h?
1
Suppose -138*p + 745 = -133*p. What is the units digit of p?
9
Let n be 147 - (6 + (-3 - 1)). Suppose 2 = 2*h, -5*m - 5*h = -0*h - n. What is the units digit of m?
8
Let y(i) = -6*i - 8. Let d be y(-6). What is the tens digit of (-114)/(-8) + (-7)/d?
1
Suppose 0 = -2*m + 10, 3*m + 0*m - 16 = -s. Let o = 0 + s. What is the tens digit of 19/2 - o/(-2)?
1
Suppose 5*y - t - 24 = 0, t = 3*y + y - 19. Suppose 0 = -2*f + 4*p, 4*f + 3*p = y + 6. Suppose -3 + 37 = f*c. What is the tens digit of c?
1
Suppose 8 = 5*p - 2. Suppose -5*q - 2*b + 122 = 20, -p*q + 2*b = -52. What is the tens digit of q?
2
Suppose 0*z
|
{
"pile_set_name": "DM Mathematics"
}
|
w many micrograms are there in 0.843082 milligrams?
843.082
What is 8.733786 centuries in months?
10480.5432
Convert 0.5515082 meters to millimeters.
551.5082
How many nanometers are there in 7/2 of a micrometer?
3500
How many micrometers are there in seven halves of a millimeter?
3500
What is 27/5 of a millennium in centuries?
54
How many nanograms are there in 41.19611 grams?
41196110000
What is 879.371 meters in millimeters?
879371
What is 4/75 of a century in months?
64
Convert 551.7048 millilitres to litres.
0.5517048
What is 13/4 of a year in months?
39
What is one fifth of a millennium in months?
2400
What is 18.10905 months in decades?
0.15090875
What is 7446.04ng in milligrams?
0.00744604
How many meters are there in 79.96555km?
79965.55
What is twenty-five halves of a kilometer in meters?
12500
Convert 97903.1 microseconds to seconds.
0.0979031
How many milligrams are there in 3/5 of a gram?
600
How many decades are there in fourty-eight fifths of a millennium?
960
Convert 138787.7 micrometers to millimeters.
138.7877
What is 130.2511ml in litres?
0.1302511
Convert 742100.9nm to millimeters.
0.7421009
What is 0.7242689 tonnes in micrograms?
724268900000
How many days are there in 2277.99027 nanoseconds?
0.000000000026365628125
How many micrometers are there in 849.3315 centimeters?
8493315
What is 31/5 of a hour in minutes?
372
Convert 0.1862251 centuries to millennia.
0.01862251
What is 122080.4 centuries in millennia?
12208.04
Convert 17528.17 hours to minutes.
1051690.2
How many millilitres are there in 67/5 of a litre?
13400
How many weeks are there in 6.5132361 days?
0.9304623
How many milliseconds are there in eleven eighths of a minute?
82500
What is one fifth of a hour in seconds?
720
How many millimeters are there in seven halves of a meter?
3500
How many years are there in eleven tenths of a century?
110
What is 46/5 of a millimeter in micrometers?
9200
What is 46/5 of a gram in milligrams?
9200
What is 13/5 of a centimeter in millimeters?
26
What is 11/2 of a century in decades?
55
What is five quarters of a litre in millilitres?
1250
Convert 495.6209 micrograms to tonnes.
0.0000000004956209
What is thirteen fifths of a kilogram in grams?
2600
How many millilitres are there in one fifth of a litre?
200
How many millilitres are there in 31/2 of a litre?
15500
What is 1/5 of a litre in millilitres?
200
Convert 90236.41 hours to milliseconds.
324851076000
What is one fifth of a meter in millimeters?
200
What is 24.1108434 microseconds in days?
0.0000000002790606875
What is 0.4585568ml in litres?
0.0004585568
What is 1/4 of a tonne in kilograms?
250
How many millilitres are there in 47/4 of a litre?
11750
What is 31/5 of a hour in minutes?
372
What is 25/2 of a centimeter in millimeters?
125
What is nineteen quarters of a millennium in decades?
475
What is 13/4 of a microgram in nanograms?
3250
How many nanometers are there in 230229.1m?
230229100000000
What is 6120.78 millilitres in litres?
6.12078
Convert 832886.9 hours to minutes.
49973214
How many years are there in 179.02449 months?
14.9187075
How many litres are there in 349323.4ml?
349.3234
Convert 24.66204 millilitres to litres.
0.02466204
How many months are there in 47420.44 centuries?
56904528
Convert 33381.74l to millilitres.
33381740
Convert 6.137719 decades to millennia.
0.06137719
What is 7/3 of a year in months?
28
Convert 745.8282 litres to millilitres.
745828.2
Convert 0.7261673 milligrams to grams.
0.0007261673
What is 3/8 of a micrometer in nanometers?
375
Convert 3.6929466us to weeks.
0.0000000000061060625
How many centimeters are there in 83909.84 millimeters?
8390.984
What is three tenths of a tonne in kilograms?
300
What is 1/24 of a day in minutes?
60
What is 32/5 of a millimeter in micrometers?
6400
What is 1/10 of a litre in millilitres?
100
How many decades are there in 15049.5 centuries?
150495
What is 22696.026 months in centuries?
18.913355
What is 21/2 of a centimeter in millimeters?
105
What is 1/10 of a millimeter in nanometers?
100000
How many millimeters are there in 614.6195m?
614619.5
What is 0.389594mg in micrograms?
389.594
What is 198027.1 meters in micrometers?
198027100000
How many months are there in 1/24 of a century?
50
What is 27.21371mg in nanograms?
27213710
Convert 98.69827ns to microseconds.
0.09869827
What is 21/4 of a litre in millilitres?
5250
Convert 6489.982 decades to months.
778797.84
How many millilitres are there in 7.088762l?
7088.762
Convert 8497.754t to micrograms.
8497754000000000
How many meters are there in 16.62065um?
0.00001662065
How many meters are there in 3/10 of a kilometer?
300
What is 11615.88 meters in millimeters?
11615880
How many millilitres are there in 31589.3l?
31589300
What is fourty-five eighths of a milligram in micrograms?
5625
What is seven halves of a day in hours?
84
What is thirty-one halves of a litre in millilitres?
15500
What is 0.1951166 micrometers in nanometers?
195.1166
How many millilitres are there in 3/25 of a litre?
120
What is 760.5442 nanograms in milligrams?
0.0007605442
How many nanometers are there in 1/20 of a micrometer?
50
How many microseconds are there in 8/25 of a millisecond?
320
What is 9508.724m in centimeters?
950872.4
Convert 0.8996088g to milligrams.
899.6088
Convert 0.8103348 litres to millilitres.
810.3348
What is 17.10588cm in meters?
0.1710588
How many seconds are there in twenty-one halves of a hour?
37800
What is 3/50 of a second in microseconds?
60000
How many tonnes are there in 0.7484968kg?
0.0007484968
How many kilograms are there in 0.1114273t?
111.4273
Convert 542296.4 centimeters to micrometers.
5422964000
What is 17/2 of a litre in millilitres?
8500
Convert 377.2089 millennia to centuries.
3772.089
What is seven sixteenths of a kilometer in centimeters?
43750
How many millilitres are there in fifty-five halves of a litre?
27500
Convert 927.8701 meters to centimeters.
92787.01
Convert 186638.43 months to years.
15553.2025
How many decades are there in fifteen quarters of a millennium?
375
What is fourty-three quarters of a millimeter in micrometers?
10750
How many nanoseconds are there in 55.7303 hours?
200629080000000
What is 48822.58us in seconds?
0.04882258
What is one quarter of a litre in millilitres?
250
What is seven thirds of a minute in seconds?
140
What is 29/2 of a litre in millilitres?
14500
What is 1.0190073 months in millennia?
0.000084917275
How many millimeters are there in 1/5 of a meter?
200
What is 42.51396 centuries in months?
51016.752
What is 5/4 of a litre in millilitres?
1250
What is eleven quarters of a tonne in kilograms?
2750
What is 367462.3 years in centuries?
3674.623
How many grams are there in 72.72378ug?
0.00007272378
What is one sixteenth of a gram in micrograms?
62500
What is 6/5 of a centimeter in millimeters?
12
What is 21/8 of a meter in millimeters?
2625
What is 7808.824t in micrograms?
7808824000000000
What is 1/5 of a hour in minutes?
12
How many tonnes are there in 7839.472 grams?
0.007839472
How many grams are there in eighteen fifths of a kilogram?
3600
How many litres are there in 230.681ml?
0.230681
How many milliseconds are there in 80309.42 days?
6938733888000
What is 1/18 of a day in seconds?
4800
Convert 236.2733 grams to nanograms.
236273300000
Convert 94705.75m to centimeters.
9470575
How many centuries are there in 308.0173 decades?
30.80173
How many micrometers are there in thirty-seven halves of a millimeter?
18500
How many millilitres are there in fifty-one quarters of a litre?
12750
What is 4.164749um in kilometers?
0.000000004164749
Convert 66755.13 nanometers to kilometers.
0.00000006675513
How many millimeters are there in twenty-five halves of a meter?
12500
How many years are there in 4017.432 months?
334.786
What is 358.5956 litres in millilitres?
358595.6
Convert 47.5986 months to decades.
0.396655
What is 0.2958373 nanograms in tonnes?
0.0000000000000002958373
How many nanograms are there in 1.537543 kilograms?
1537543000000
How many millilitres are there in 9/10 of a litre?
900
How many kilometers are there in 336.7397 centimeters?
0.003367397
Convert 0.5323284 litres to millilitres.
532.3284
What is 6/5 of a kilogram in grams?
1200
What is 1/63 of a week in seconds?
9600
Conver
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4 = i - 2*g, 3*i - g - 2 = 0. Suppose v + i = -p. Put 4, v, 0 in increasing order.
v, 0, 4
Let l = -2.99 - 0.01. Let j = 4 + l. Let f = -0.31 + 0.01. Sort j, -5, f in ascending order.
-5, f, j
Suppose -5*b - 3*n - 27 = -5, 0 = -b - 2*n - 3. Put 5, b, 3 in descending order.
5, 3, b
Suppose -10*t = -14*t - 4. Let c = -1.1 - -0.1. Let f = c + 3. Put 2/9, f, t in decreasing order.
f, 2/9, t
Let t be (-2)/6 + (-171)/(-27). Suppose -a + 4 = -5*g, 4*g - t = 2*a - 14. Let c(y) = -y**2 + 5*y - 6. Let j be c(4). Sort g, j, -4 in decreasing order.
g, j, -4
Let u(j) = -j - 5. Let g(k) = -4*k - 19. Let q(d) = -4*g(d) + 18*u(d). Let n be q(-10). Let m be 15/n*(-6)/(-3). Put 3, -5, m in decreasing order.
m, 3, -5
Suppose -20 = -s - 0*s. Suppose 0 = -4*b + 2*b + s. Put 1/5, -3/8, b in descending order.
b, 1/5, -3/8
Let l(p) = -p**2 + p + 2. Let t be l(4). Let b be 2/t - 9/5. Let u(v) = v - 2. Let h be u(2). Sort 3, h, b.
b, h, 3
Let z(s) = -s**2 - 3*s + 2. Let v be z(-3). Suppose -2*f + u = -3*u - v, -5*f - 6 = u. Let i = 23 - 27. Sort f, i, 0.1 in descending order.
0.1, f, i
Let n = -0.26 + -0.74. Put n, -3, -2/19, 0.2 in descending order.
0.2, -2/19, n, -3
Let z = -3 - -3. Let t = z + 1. Put t, -4, 5 in descending order.
5, t, -4
Let l = 1 - -2. Suppose l*v - 5 = 7. Suppose -7 = -k - 2. Sort k, -1, v.
-1, v, k
Let k be (-1)/6 + 455/(-42). Sort -2, -1, k in ascending order.
k, -2, -1
Let k = 16.9 + -17. Put -2/11, -4, k, -0.07 in decreasing order.
-0.07, k, -2/11, -4
Let j = -28 + 29.1. Let s = 2.9 + j. Let l = -1/39 - 4/13. Sort 1, s, l in ascending order.
l, 1, s
Let o be 4/(-14) - 37/(-7). Suppose 3*n = 2*d + 8, -3*d + 8 = -o*d. Suppose z = 4*t - 3*t, n = -z + 2*t + 5. Put 4, 3, z in ascending order.
z, 3, 4
Let n = 7 + -6.93. Let q = n - -0.03. Put -2, -1/4, q in descending order.
q, -1/4, -2
Suppose -4 = 7*v + 31. Let n be 14/4*(-12)/(-42). Sort n, 3, v in increasing order.
v, n, 3
Let f = -21 - -34. Let a be f/3 - (-4)/6. Let c = 10 - a. Put 0, -3, c in decreasing order.
c, 0, -3
Suppose 8 = -4*n - 4. Suppose 2*f - 3*x = 0, f + 5*x = -4*f. Sort -4, n, f in decreasing order.
f, n, -4
Let p be (-2 + -1 - 48/(-27)) + 1. Put -2/19, -4, p, 3 in increasing order.
-4, p, -2/19, 3
Let z = -9 - -15. Put 4, 2/9, z in increasing order.
2/9, 4, z
Let o be 16/(-42) + (-2)/(-3). Let b = -26 - -53. Let s = b + -28. Sort s, -3/4, o.
s, -3/4, o
Let r be (2/4)/(77/14). Sort 1, -2, r in increasing order.
-2, r, 1
Let d be (2/(-6))/((-8)/(-6)). Suppose 5*l - 4 = 21. Let m be 1/6*(-20)/l. Sort d, m, 0 in increasing order.
m, d, 0
Let l be (-2)/(3/6 + -3). Let i = 5.3 + -6. Let k = 0.4 + i. Sort -5, k, l in ascending order.
-5, k, l
Let d = -4 - -15. Let o = 6 - d. Put o, -2, 0.1 in decreasing order.
0.1, -2, o
Suppose 0 = -5*m + 10. Suppose 5*j - 4*z = 1, j + m*j + 2*z = -17. Let k be (j/(-4))/((-1)/(-4)). Put k, 4, -4 in decreasing order.
4, k, -4
Let x(o) = -3*o - 2. Let m be x(-2). Let r be 1*((-20)/(-1))/m. Sort 5/4, r, 0.1.
0.1, 5/4, r
Suppose -2*r = -4*m + 2 - 22, 4*m + 28 = 4*r. Put m, -2, 4 in descending order.
4, -2, m
Let x = 5 - 0. Let l = x - 4. Suppose 2*d + l = 5*f + 4*d, 0 = 5*d + 10. Sort -1, f, -4 in decreasing order.
f, -1, -4
Let k be -1 + (4 - -6*3/(-6)). Suppose -6 + 0 = -2*u, 8 = -5*h + u. Sort h, k, -14 in decreasing order.
k, h, -14
Let f = 11 - 6. Let b = -844/4521 - -2/411. Sort f, -3, b in decreasing order.
f, b, -3
Let k(b) = -b**3 - 4*b**2 - 2*b - 4. Let a be k(-4). Suppose -23 = -3*i + 2*x + 3*x, 2*i + a*x + 14 = 0. Put 3, i, -4 in increasing order.
-4, i, 3
Suppose -3*o - 2*a = 19, -2*a = 3*o - 2*o + 13. Sort o, 0.2, -1/11.
o, -1/11, 0.2
Suppose c - 9 = -6. Let a(f) = -f + 7. Let y be a(5). Put y, -2, c in ascending order.
-2, y, c
Let c(g) = g**2 - 7*g. Let u be c(7). Suppose -4*m = 10 - 6. Put -5, m, u in descending order.
u, m, -5
Let t = 24 - 27. Let q be ((-1)/t)/(12/180). Put 0, q, 4 in descending order.
q, 4, 0
Let p = -126.2 - -126. Sort -1/17, p, 0 in decreasing order.
0, -1/17, p
Suppose 46 = 2*i - 5*w, 0 = w + 4. Sort i, -5, 5, -4.
-5, -4, 5, i
Suppose -12 = -4*t + q, -7*t + 3*t - 3*q = -12. Let z = -1 - t. Let b(u) = -u**2 - 3*u + 4. Let v be b(-4). Put -3, z, v in increasing order.
z, -3, v
Let f = -4 + 0. Let u be (-3)/f - 23/4. Put 3, u, -2 in descending order.
3, -2, u
Let d = -42 - -38. Put 1, d, 0 in descending order.
1, 0, d
Suppose -9*w + 5*w - 20 = 0. Put -2, w, 1 in increasing order.
w, -2, 1
Let y = 6.1 - 7.1. Sort -5, 0.5, y, 12 in descending order.
12, 0.5, y, -5
Let m = -171/905 - 2/181. Put 14, -5, m in ascending order.
-5, m, 14
Let g be (1 - 0)*(0 + -5). Suppose -3*n = 9, -2*n + 3 = -p - 5. Let l = p - -14. Sort l, g, 5 in decreasing order.
5, l, g
Let m(i) = i**3 + 4*i**2 + 2. Let p be m(-4). Suppose -2*t = -p + 10. Sort 5, -3, t in descending order.
5, -3, t
Let t = -3.9 + -0.1. Sort t, 0, -0.1 in ascending order.
t, -0.1, 0
Let o = -5 + 0. Suppose 2*w - 5*w = -4*u - 6, 4*w - 8 = 5*u. Sort o, -4, w.
o, -4, w
Let p(j) = j + 5. Let z be p(-4). Suppose -z = -i + 1. Sort 1, i, 5 in descending order.
5, i, 1
Suppose -2*k + 5 + 3 = -h, -k + 26 = 5*h. Suppose -3 + k = -w. Put -1, -4, w in increasing order.
-4, w, -1
Let z(w) = w**3 - 3*w - 1. Let b be z(-2). Let n be 1 - 0 - 18/3. Put 5, b, n in descending order.
5, b, n
Let w be (2/(-3))/(6/(-45)). Let b = -1 - -5/2. Put b, -0.2, w in decreasing order.
w, b, -0.2
Let o be ((-3)/9)/((-2)/6). Let t be (-2 + 1)*(o + 0). Put 0, 0.2, t in ascending order.
t, 0, 0.2
Let x = 0 - 0.5. Sort x, -0.1, 5.
x, -0.1, 5
Let z = 17.7 - 17. Let d = z + -0.9. Put d, 2/3, -0.04 in ascending order.
d, -0.04, 2/3
Suppose -3*w = 4*z + 20, 3*w - w = -2*z - 10. Sort z, -6, 5.
-6, z, 5
Let z = 38 + -38. Let q = 4/5 - 53/60. Sort q, z, -0.5 in ascending order.
-0.5, q, z
Let w be (-1)/2 - (1 - 35/28). Sort -3, w, 14/3 in descending order.
14/3, w, -3
Let b be 58/(-265) - 2/(-5). Let j = b - -1/53. Let q = -1/4 - -7/12. Put j, 0.5, q in increasing order.
j, q, 0.5
Suppose -5*j = 7 - 32. Suppose -6*t - 3 = -j*t. Let u be (-2)/2*(-2)/(-9). Sort t, 2, u in decreasing order.
2, u, t
Let b = 19 - 20. Let p(z) = -2*z**2 + 2*z. Let c be p(2). Let k(s) = -s - 1. Let n be k(-1). Put c, b, n in ascending order.
c, b, n
Let c be (-9)/(-15) + (-4)/(-10). Suppose -2*x + 3 = c. Suppose -2*k = -6, -5*h = 5*k - 3*k - 31. Put h, x, 0 in decreasing order.
h, x, 0
Let k be (7/21)/((-1)/6). Put k, 2, -4 in decreasing order.
2, k, -4
Let r be ((-58)/(-28) - 2)/((-4)/24). Let v = -3.2 - -3. Sort v, -0.1, r in decreasing order.
-0.1, v, r
Let a = 0.55 - 0.05. Put a, 5, 6, -5 in ascending order.
-5, a, 5, 6
Let r = -0.018 - -0.218. Suppose 4*o - 9 = 11. Sort o, -1/6, r in descending order.
o, r, -1/6
Suppose -w + 4*w = -9. Put 6, w, 5 in increasing order.
w, 5, 6
Let a(i) = -i + 8. Let t be a(6). Let d(h) = -2 + 1 + t*h + 0*h. Let c be d(-1). Sort -2/11, 5, c.
c, -2/11, 5
Let j be ((-5)/(-25))/((-8)/(-4075)). Let z = -102 + j. Put z, 0, -0.5 in descending order.
0, z, -0.5
Let a = 3 - 0. Suppose l - a*l - 4 = 0. Sort l, 5, -3.
-3, l, 5
Suppose 4*w - 17 = 19. Suppose v - w = -2*v. Sort -5, v, 4.
-5, v, 4
Let k = 25 + -26. Let m = 1 - 1.1. Let r = m - -0.2. Put r, 0.3, k in descending order.
0.3, r, k
Let k be -1*(2 + (-6)/3). Suppose k = -2*n + 6*n - 4. Let w be ((-14)/12)/1 + n. Sort 3, 3/2, w in descending order.
3, 3/2, w
Let b be 2/5 + 54/(-10). Let u = 0.13 + 0.17. Sort 0, u, b in decreasing order.
u, 0, b
Let l be (-64)/84*-3 + 2/(-7). Put 4, l, 1, 1/9 in decreasing order.
4, l, 1, 1/9
Let s = -13 + 12. Sort 1, s, -9 in increasing order.
-9, s, 1
Let z = -0.36 - -0.04. Let f = z - -0.02. Sort -2/13, f, -4.
-4, f, -2/13
Let p = -26 + 25. Sort -0.13, 5, p in descending order.
5, -0.13, p
Suppose -3*t - 16 = 2. Let r be (-5)/6*-4 + 1/(-3). Sort 0.5, t, r in increasing order.
t, 0.5, r
Let v be 5*(-2)/6*(-8 - -5). Put 3, 6, v in descending order.
6, v, 3
Let x(t) = t**2 - 8*t + 3. Let a be x(6). Let k = -460 + 460. Sort -3, k, a in increasing order.
a, -3, k
Suppose 0 = -0*j + 4*j - 4*s + 12, 0 = -4*j - 5*s + 33. Put -2, -1, j in ascending order.
-2, -1, j
Suppose 3*y - 3 = 9. Sort y, -2, 2 in descending order.
y, 2, -2
Let x(o) = -o**3 + 4*o**2 - 1. Let f be x(4). Sort 2, 0, f in decreasing order.
2, 0, f
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 2) - 0).
4
What is (-32 - -27) + 1 + 0?
-4
5 - ((-4 - -4) + -5 + 12)
-2
What is 1 + -3 + 5 + -3 + 1?
1
What is 0 + 0 + 3 - (10 - 11)?
4
What is 7 - (2 - 3 - -4) - 0?
4
Evaluate -10 + 4 + 1 + (0 - -2).
-3
81 - 92 - (-6 - (-4 + 2))
-7
Calculate (4 - 18) + 16 + -8.
-6
What is the value of -3 + (13 - 0 - (-38 + 40))?
8
What is the value of -6 + -5 + 15 + -2 + -2?
0
Calculate (3 - (1 + 2) - -4) + 1.
5
What is 5 + (3 - 0) + -2?
6
-65 + 76 + -16 + -1
-6
What is 4 - (4 - 0 - (8 + -5))?
3
Calculate 0 + 3 - (-8 - -11).
0
-4 + (-1 + 0 - (-11 - -5))
1
-23 + 25 + -2 + 2 + 1
3
2 + -7 + 7 - 11
-9
Evaluate 3 + (4 + -4 - -1) + 1.
5
What is -6 + 4 + 1 + -1?
-2
1 - ((2 - -2) + -3) - -4
4
What is the value of -8 + 3 - (5 + (-1 - 16))?
7
What is the value of 10 + -5 - (-1 - -4)?
2
Evaluate 1 + 0 + (-10 - -6).
-3
What is the value of (4 - -3 - (-2 - -14)) + 4?
-1
-4 + 12 + -4 + (0 - 5)
-1
What is 4 + -1 + 1 + -8?
-4
Calculate (-15 - -6) + 10 - (2 - -1).
-2
2 - (5 + -1 + 1) - 2
-5
What is (-2 + 1 - 0) + (1 - -2)?
2
Calculate (1 - 6) + -17 + 13.
-9
(-7 - (-8 - 0)) + -4
-3
What is 2 + 2 + -6 - 0?
-2
What is -11 + (-7 - -5 - -11)?
-2
What is 6 + (-7 - (-4 - (-12 + 3)))?
-6
What is the value of 0 + (1 - 3) + (-11 - -18)?
5
What is -4 - ((-2 - -1 - -5) + -9)?
1
-5 - -19 - 6 - 9 - -5
4
0 + -13 + -31 + 38
-6
Evaluate 20 - 5 - (-5 - (-6 + -6)).
8
What is -9 + 12 + -3 + -3?
-3
What is the value of 10 - (1 - -2 - -2)?
5
What is 1 + (-7 + 1 - -3) - 0?
-2
-2 + (-7 - 0) + 9
0
What is the value of 19 + (-5 - (17 - 11))?
8
Evaluate 13 + (-15 - (-8 + 0)).
6
What is (-2 - -12) + -5 + -3?
2
(20 - 18) + -11 + (-2 - -2)
-9
Evaluate 5 + (-4 + 1 + 1 - -2).
5
-6 + 8 - (-4 + 7)
-1
Calculate -4 + (3 - 5 - -11) + 1.
6
Calculate (0 - (0 - 1)) + -6.
-5
Evaluate 5 + (1 - (-3 + 12)).
-3
Calculate -4 - -7 - (7 + 0 - 0).
-4
6 + -3 + (-1 - -1) + -2
1
What is the value of -1 + (7 + -27 - -12)?
-9
Calculate -26 + 25 - (-6 + 1) - 5.
-1
-3 + -1 + 6 + 7
9
Evaluate -4 - (-1 - (-1 + -2) - 1).
-5
Calculate 2 + -1 - (-2 + (-4 - -11)).
-4
What is (-3 + 4 - -1 - 3) + -1?
-2
Evaluate -22 - -13 - (0 - 3) - -5.
-1
What is (0 - (-2 + 13)) + 9 + -8?
-10
Evaluate 6 - (3 + 0) - 0.
3
What is the value of 0 - -4 - ((16 - 5) + -6)?
-1
-5 + 0 + 2 + 2
-1
What is -2 + 0 + 26 + -18?
6
1 - (0 - -1) - -3 - 4
-1
Calculate (5 - (-2 + 5)) + -5.
-3
Calculate (10 - 4 - 3) + 3 + -1.
5
Evaluate 3 - (-4 + (-1 - -2) - -11).
-5
What is the value of (-12 - -18) + 7 - 12?
1
Calculate (2 - -1) + (7 + -6 - 1).
3
3 - 4 - 3 - -1
-3
What is the value of (8 - 12) + 3 + -1?
-2
Calculate 10 + (-1 - 4) + 0.
5
Evaluate -3 + -6 + (12 - 5) - -8.
6
What is the value of 5 - (11 + 8) - -8?
-6
Evaluate -3 + (-1 + -2 - -5 - -3).
2
What is the value of 9 - (4 + -2 - (11 + -8))?
10
Evaluate 7 + -2 - (-3 - -6).
2
What is -2 + (-13 - -7 - -11)?
3
Calculate -1 - (1 + -3 - -2 - 6).
5
What is -3 + (-6 - -6 - -3) - 0?
0
Calculate 8 + 0 - (11 + -2).
-1
Evaluate (-2 - (0 + (6 - -2))) + 4.
-6
-4 - (-6 + 4 + -3) - 2
-1
What is -3 + -4 + 0 + 0 + 2?
-5
-2 - (3 - (0 + 0))
-5
8 + (5 - 3) - 19
-9
Calculate -6 - (8 + (2 - 14) - 3).
1
What is 1 + 6 + -5 + (0 - 1)?
1
What is the value of 6 - (-1 + -2 - -6) - -1?
4
Calculate 1 - (7 + (-14 - -4)).
4
Evaluate 1 - 9 - (4 - 15).
3
Calculate -7 + 1 - (-66 - -63).
-3
What is the value of 3 - (-11 - -4) - 2 - 3?
5
-5 + 6 + 0 + -6
-5
What is the value of -5 + (5 + -4 - -3)?
-1
3 + (0 + -7 - (-8 - 0))
4
What is 2 - -1 - (-6 + 7)?
2
Evaluate 2 + -1 + (-8 - 7) + 8.
-6
What is -2 - (-16 + (-6 - -17))?
3
What is 2 - (-1 + -4 + 0 + 5)?
2
What is -3 + 1 + -3 + (0 - 0)?
-5
Evaluate ((5 - 4) + -4 - -1) + 5.
3
Evaluate 11 + 14 + -20 + -5.
0
Evaluate (-8 - (4 + 1 + -10)) + -1.
-4
What is the value of (2 - 2) + 3 + -4?
-1
Evaluate -2 + (4 + 4 + -3 - 4).
-1
Calculate -5 + (1 - 2 - -2) + 3.
-1
1 + (3 - 4) - 2
-2
Evaluate -3 - (2 + -8 + 5).
-2
Evaluate 5 - (0 - (-4 - 0)).
1
What is the value of 12 + 8 + -6 + -10?
4
Calculate -3 + (0 - -7) + -9.
-5
Calculate -2 - ((4 - (0 + 2)) + -1).
-3
Evaluate 0 + 2 + 0 + -26 + 25.
1
Evaluate -2 + 1 + (-20 - -19).
-2
What is the value of 5 + (1 - (3 - 2))?
5
Evaluate -18 - -20 - (2 - 0).
0
Calculate -2 - (-3 - (2 + -1 + 2)).
4
What is the value of 5 - (-10 - (9 - 26))?
-2
What is (-1 - 3 - 0) + 8?
4
Calculate (-13 - (11 + -22)) + 5.
3
What is the value of 1 + -2 + (2 + -2 - -6)?
5
What is 4 + ((-4 - -3) + -7 - -3)?
-1
What is the value of -16 - (-8 - 8 - -8)?
-8
Evaluate (-2 - 0 - 2) + 4 - 3.
-3
What is 35 + -30 + -1 + (1 - 1)?
4
What is the value of 4 - (8 + 1 + -6)?
1
Calculate 1 - (-4 - (-8 - -5 - 3)).
-1
-13 + (-7 + 22 - 9)
-7
What is 4 + (-12 - (1 - 6) - -4)?
1
5 + 2 + -2 - 7
-2
What is the value of (0 - (0 - -3) - -2) + -4?
-5
Calculate 18 + -20 + (-1 - 3 - 0).
-6
What is the value of 7 - 21 - -12 - (-1 + -1)?
0
What is the value of -6 + (0 + 4 + 2 - 4)?
-4
What is the value of -1 + -8 + 42 + -25?
8
-11 - (8 + -35) - 14
2
What is 3 - (8 + 0 - -1)?
-6
13 - 22 - (0 - 4)
-5
Calculate 1 + -5 + (31 - 32).
-5
Calculate -3 - 5 - (1 - 9).
0
What is the value of 1 + -2 - (-7 - (-19 + 12))?
-1
Calculate -2 + -2 + -2 + -2 + 10.
2
Calculate -8 + (4 - 9) + 8.
-5
3 - 0 - (4 + -6) - 3
2
What is (-2 - (-3 + (-4 - -2))) + -3?
0
(1 - (0 + 4)) + -1 + 0
-4
What is -1 - -6 - (2 + (11 - 1))?
-7
What is 2 + 5 + 0 - (-37 + 41)?
3
What is (-8 - -1) + 0 - -2?
-5
What is -13 - -9 - (-10 + 5)?
1
What is -6 - 4 - -11 - (2 + 0)?
-1
What is the value of (-2 - -5) + 0 - -4?
7
0 + 0 + (-8 + 9 - 3)
-2
Evaluate -4 + 9 - (7 - 6).
4
Evaluate (-5 - 0 - -3) + 5.
3
Evaluate 7 + -4 - (1 - -1).
1
Calculate 11 - 10 - (-1 - 4).
6
(-5 + 6 - 5) + 8 + 1
5
8 + (-7 - 0) + (-2 - -1)
0
What is 13 + (-12 - 11 - -6)?
-4
-3 + (-1 - -19) + -8
7
Evaluate 11 + -8 - (1 + 2) - 3.
-3
Evaluate -8 + (4 - (-8 + 14) - 0).
-10
Calculate (-10 - -8) + 4 - 2.
0
What is the value of -6 - 1 - (-38 + 35)?
-4
Evaluate (-6 - -2) + (-1 - -1) - -3.
-1
3 + -7 + 1 + 17 + -16
-2
What is 8 + (-9 - (0 - 4)) + -7?
-4
What is the value of 0 - (-1 + (1 - -6))?
-6
Calculate (2 - 1) + (5 - 1).
5
Evaluate -3 + 5 + -2 + -3.
-3
What is (-1 - -1) + 3 + (0 - 0)?
3
What is the value of 2 + (12 - 2) + 3 + -9?
6
Evaluate -4 + -3 + 4 - (-2 - 2).
1
(17 - (28 - 11)) + 0 + -6
-6
What is (0 - -3) + (-1 - 3)?
-1
What is the value of (-2 - -2) + (-9 - -4) + -1?
-6
6 + (2 - (6 - 3))
5
5 - 1 - (-11 + (-6 - -22))
-1
(8 - 6) + -32 + 22
-8
6 - -1 - (11 + (13 - 15))
-2
What is (7 - 5) + (3 - 1)?
4
What is (12 - (23 - 11)) + 8?
8
4 + -5 + 0 + -3
-4
Calculate 7 - (-5 + (3 - (8 + -11))).
6
Evaluate -2 + 4 + -9 + 0 - -2.
-5
What is -2 + (1 - (-1 + 1 + 5))?
-6
What is 2 - 3 - (31 + -34)?
2
What is 3 - (4 - (7 - 3))?
3
What is (-1 - 0) + 8 + -16?
-9
Calculate (-2 - 1) + -8 + 13.
2
What is -5 - (8 - 11 - 5)?
3
What is the value of -3 + (7 + 0 - (12 + -12))?
4
Calculate 4 - (-1 + -5 + 11 - 4).
3
What is the value of -5 - -1 - (4 + -6) - 1?
-3
What is 1 + -5 + (-5 - -8) + -4?
-5
Calculate 3 - 0 - (8 + (-14 - -6)).
3
-8 + 1 + 9 + -11
-9
(6 - (8 + -2)) + -6 + 2
-4
Calculate (-8 - -8 - 10) + 5.
-5
What is the value of 2 + (1 - (2 + -2 + 0))?
3
Calculate 6 + (5 - (4 + -1)).
8
(89 - 78) + (-5 - 0)
6
Evaluate 0 + -2 + (10 - (6 + 1)).
1
What is (-7 - -12 - 1) + -2 + 2?
4
What is 0 + 1 + (-4 - 5) + 4?
-4
Calculate 6 + (-13 - (4 + -3)).
-8
What is 5 + (-1 - 5) - (1 - 0)?
-2
(3 + -4 - 3) + -16 + 15
-5
What is -12 + -6 + 8 + 8?
-2
Evaluate 3 - -4 - -1 - 8.
0
Calculate 10 + -1 + -5 - 9.
-5
-19 - (-2 + -19 + 7)
-5
Calculate (0 - 1 - 3) + (10 - 2).
4
1 - (6 + -4 - 2)
1
0 + 4 + -2 + -5
-3
Evaluate (2 - 2) + (0 + -1 - -1).
0
What is the value of 7 + (-12 - (5 - 10)) - 4?
-4
-14 - -7 - 3 - -10
0
Calculate 6 - (14 + -6 + -3).
1
What is the value of 1 - (0 + 0) - (3 - 3)?
1
What is -10 + 3 - (0 + -1 + -13)?
7
Evaluate (4 - (-2 + 5 + 5)) + 1.
-3
What is the value of -2 + 7 - (-1 + (8 - 8))?
6
Calculate 0 + 5 + (0 - 2).
3
What is the value of (-4 - -6) + 8 + (-5 - 0)?
5
-5 + 5 + (0 - (3 - 3))
0
3 - 5 - (1 - 2)
-1
-1 + -3 - (8 - 18) - 4
2
Evaluate 0 - 2 - (-4 - (3 + -4)).
1
Evaluate -5 - (-4 - (7 + -3)).
3
What is (2 - 6) + 2 - (-1 + -1)?
0
What is 6 + 4 + (-10 - -5) + 0?
5
What is 3 + (1 - (-1 - -10))?
-5
What is (1 - 6) + (-15 - -7 - -9)?
-4
What is (0 - 3) + (-9 - (5 + -22))?
5
What is the value of 1 + -3 - -5 - (-5 + 8)?
0
Cal
|
{
"pile_set_name": "DM Mathematics"
}
|
-5*d - 0 - b. What is the units digit of 51/12 + 2/d?
4
Suppose 0*d - 112 = -2*d - 2*n, -4*d + n = -204. Suppose -2*x - d = -6*x. What is the tens digit of x?
1
Suppose t - 2*t + 67 = 0. Suppose -2*k - 23 = -q, 3*q - 4*k - t = -0*k. What is the units digit of q?
1
Suppose -5*i + 4*m = 5*m + 13, m - 5 = 4*i. What is the units digit of (-261)/(-27) + i/(-6)?
0
Let j be 1*(0 + 9/1). Suppose 13 = -3*b + u - 1, 0 = b - 2*u + 13. Let t = j + b. What is the units digit of t?
6
Suppose -3*k + h + 487 = 0, -k = h + h - 160. What is the hundreds digit of k?
1
Suppose 4*i = 2*o - 3*o + 29, -3*o - 3*i + 42 = 0. Suppose p + o = 13. What is the units digit of p?
4
Let q(k) = k**3 - 5*k**2 + 5*k + 10. What is the tens digit of q(7)?
4
What is the units digit of (7/4)/(4/784)?
3
What is the hundreds digit of 1*(28/10)/(1/50)?
1
Suppose 2*c - 4*q = -q + 9, -2*q = 4*c - 10. Let g be (-66)/(-7) + 3/(-7). Let d = g + c. What is the tens digit of d?
1
Suppose z + 2 = 2*n - 2*z, 0 = -5*n + 5*z + 10. What is the units digit of -3 + (3 - (n - 42))?
8
Suppose 0 = -3*s - j + 497, -2*s + 5*j + 244 = -93. What is the units digit of s?
6
Let c(d) = 4*d - 4. Let t be c(2). Let j(v) be the third derivative of v**6/120 - v**5/20 - 5*v**3/6 + 2*v**2. What is the tens digit of j(t)?
1
Let h(c) = c**2 - 2 + c + 3*c + 4. What is the tens digit of h(-6)?
1
Suppose 3*m = 2*v + 424, 2*m + 11*v - 292 = 10*v. What is the hundreds digit of m?
1
Let m be 1/2 + 34/(-4). Let x = m + 5. Let w = x + 9. What is the units digit of w?
6
Suppose -w - x + 253 = 0, 3*w - 1220 = -2*w + 4*x. What is the units digit of w?
8
Suppose 4*n - 50 = 122. What is the units digit of n?
3
Suppose 5*s - 10 = 0, 4*p - p + 10 = 5*s. Suppose -3*o = -p*h + 4*h - 3, 2*h + 5*o + 9 = 0. Let i(d) = -d**3 + 4*d**2 - d - 4. What is the units digit of i(h)?
2
What is the tens digit of (-3 - (-454)/(-6))*(-3)/2?
1
Suppose 0 = 4*w - v + 3*v + 84, 0 = 3*w + 4*v + 68. Let g = 1 - w. What is the tens digit of g?
2
Let p = 138 + -92. Let c be 2 - -1*p - 0. Suppose c = 6*t - 2*t. What is the tens digit of t?
1
Suppose -4800 = -22*r + 10*r. What is the units digit of r?
0
Let h(y) = 2*y**2 + 21*y - 5. What is the tens digit of h(-12)?
3
Suppose 0 = 4*o + 4, 3*o + 40 = k. What is the units digit of k?
7
Suppose 5*f - 3*f - 9 = -5*r, r - f = -1. Let c = r - 0. What is the tens digit of c/(-3)*-1*51?
1
Let t(q) = 2*q + 7. Let y(d) = d + 3. Let b(g) = -3*t(g) + 7*y(g). What is the units digit of b(4)?
4
Let n(j) = j**2 + 4*j + 6. Suppose 3*y - 4 = 2. Suppose y*a - 2 = 2*z + 2, 2*a + 8 = -z. What is the units digit of n(z)?
6
Let c be (-1)/(42/15 + -3). Let b(v) = 7*v + 1. What is the tens digit of b(c)?
3
Let x = 0 - 5. Let i(j) = -4*j + 2. What is the tens digit of i(x)?
2
What is the units digit of (44/16)/(1/28)?
7
What is the tens digit of 3*104/12 + (0 - 0)?
2
Suppose -7 = 2*t - 2*c + 1, 5*c - 18 = 4*t. Let a = 14 + t. What is the units digit of a?
2
Let t be 110/3 + (-26)/39. Let d = -21 + t. What is the units digit of d?
5
Let h(w) = w**2 - 4*w + 4. Let o be h(4). Suppose 0 = -g - o*g + 60. What is the units digit of g?
2
Let x(z) = -z**3 - z**2 - z + 3. What is the tens digit of x(-4)?
5
Let b(h) = -h + 26. What is the units digit of b(0)?
6
Let t(k) be the third derivative of -k**5/60 + 7*k**4/24 - k**3/6 + k**2. Let b be 2/(-9) + (-168)/(-27). What is the units digit of t(b)?
5
Suppose -13 = -4*h - 5*m - 6, -13 = -3*h + 4*m. What is the units digit of h?
3
Let n(k) = 0 + 3 + 4*k**2 + k - 3*k**2. Let b be n(0). Let l = b + -2. What is the units digit of l?
1
Let j = 32 + 46. What is the tens digit of j?
7
Suppose 4*c + 4*v = -12, -3*c - 19 = -5*v + 14. What is the units digit of (6/(-9))/(1/c)?
4
Let x(y) be the first derivative of y**3/3 - y**2 + y - 1. What is the units digit of x(4)?
9
Suppose -7*m = -14*m + 2450. What is the units digit of m?
0
Let j be (5/2 - 3)*96. Let a = 90 + j. What is the units digit of a?
2
Let p be (3/6*0)/1. Suppose p = 5*d + 25, -4*d - 68 = -7*q + 3*q. What is the tens digit of q?
1
Suppose h - 5 = b, 3*b = -3*h + 1 + 2. Suppose 0 = 3*r - h - 9. What is the units digit of r?
4
Let u(p) = -p**2 - 8*p - 7. Let v be u(-6). Suppose -5*q + 10 = -0*q + 4*f, 0 = v*q + 5*f - 5. What is the units digit of (-3)/q*4/(-1)?
2
Let v(p) = -12*p + 11. What is the units digit of v(-5)?
1
Suppose -v = -2*v + 7. Let i = 6 + v. What is the units digit of i?
3
Let b = 578 + -243. What is the tens digit of b?
3
Let a(q) = q**3 + 7*q**2 + 4*q. Let l be a(-6). Let r be ((-2)/(-6))/(2/l). Suppose 9 = r*i - i. What is the units digit of i?
9
Suppose 5*w + s - 190 = 0, -w + 3*s = -27 - 27. What is the units digit of w?
9
Suppose -10 + 46 = 4*t. Suppose -2*v + t = 1. Suppose 0 = v*p + 5*s - 12 - 13, 0 = 2*p - 5*s - 5. What is the units digit of p?
5
Let m = -259 + 386. What is the tens digit of m?
2
Let k(z) = 9*z + 3. Suppose x - 2*c = 9, c - 9 = -2*x + 2*c. What is the units digit of k(x)?
0
Let s be (-1)/2 - 140/(-8). Let t = 26 - s. What is the units digit of t?
9
Suppose -11 = -u - 4. Let l = 14 - u. Suppose -5*b + 22 = l. What is the units digit of b?
3
Let b = 2 + 3. Suppose -b*a = -8*a + 72. What is the units digit of a?
4
Let n(m) = -4*m**2 - 7 + 2*m**2 + 3*m**2 + 0*m**2 - 3*m. What is the tens digit of n(6)?
1
Let v be (-50)/18 - (-4)/(-18). Let g be 5/2*6/v. Let m = 9 + g. What is the units digit of m?
4
Let z(c) = c**2 - 6*c + 2. Let w be (-4)/(-10) - 140/(-25). Let g be z(w). What is the units digit of g/(-2) - (3 - 12)?
8
Let u = -119 + 198. What is the tens digit of u?
7
Let p(x) = 2*x - 3. Let y be p(-9). Let n = y - -29. What is the units digit of n?
8
Let t(g) = g**2 + 6*g + 1. What is the tens digit of t(-10)?
4
Suppose -u = 3*s - 33, 3*u + 5 = -4. What is the units digit of 4/s - 20/(-3)?
7
Let a = 239 - 129. What is the units digit of a?
0
Let j(x) = -5*x**2 + 3*x + 7. Let v(z) = 4*z**2 - 4*z - 6. Let w(i) = -3*j(i) - 4*v(i). What is the units digit of w(7)?
3
Suppose 0*c - 16 = -2*c. Suppose -c - 2 = -2*l. What is the units digit of l?
5
Let a = 4 + 2. Suppose -a*c + c = -15. What is the units digit of c?
3
Suppose 4 = 6*t - 2. What is the units digit of t - (-2)/(-4)*-6?
4
Suppose 3*u + 29 - 200 = 0. What is the units digit of u?
7
Let h(u) = -u**3 + 3*u**2 + 7*u - 3. Let s(a) = -4*a**3 + 11*a**2 + 27*a - 11. Let y(f) = 9*h(f) - 2*s(f). What is the units digit of y(6)?
3
Let m be ((-3)/2)/(6/(-8)). Let l(t) = -t - m + 2 + 4. What is the units digit of l(-4)?
8
Suppose -2*f = -p + 72, -3*f = -5*p + 90 + 263. Let c = p - 50. What is the units digit of c?
0
Suppose 4*t = -4*g, -5*g + 3*g + 18 = -4*t. Let a be (2/3)/((-4)/(-42)). Let c = a - g. What is the units digit of c?
4
Suppose -2*y - 22 = t, -2*y + 0*y - 4*t - 34 = 0. Let i be y/(-6)*(-16)/(-6). Suppose -6 = -b - 2*a, 0*b - i = -2*b + 4*a. What is the units digit of b?
4
Let a be ((-2)/(-4))/((-2)/28). Let x(b) = -7*b - 11. What is the units digit of x(a)?
8
Let q = -14 + 7. Let y(w) = -w**3 - 2*w**2 + 4*w - 7. Let i(t) = -3*t**3 - 7*t**2 + 12*t - 21. Let m(z) = 4*i(z) - 11*y(z). What is the tens digit of m(q)?
1
Let s(j) = -j**3 + 5*j**2 - 3*j - 4. Let a be s(3). Let l = a - 5. Suppose l = 3*o - 5 - 13. What is the units digit of o?
6
Suppose 3*r + 28 = v - 0*v, -3*v + 78 = -3*r. What is the units digit of v?
5
Let q be -2 + -1 - -2 - -11. Suppose -w + 2*b = -q, 2 = -w + 3*b + 16. What is the units digit of (8/3)/(w/3)?
4
Let m = 3 + 3. Suppose 0 = r + 3*y + m - 58, -143 = -4*r + y. What is the units digit of r?
7
Let g(d) = -d**3 + 7*d**2 + 7*d - 6. Let m be g(8). Let z = m - -6. Let c(b) = b**2 + 5*b - 11. What is the units digit of c(z)?
3
Let x(p) = p**2 - 6*p. Let c be x(6). Suppose -v - 1 + 2 = 0, 3*u - 4*v - 11 = c. Suppose f = 5 + u. What is the units digit of f?
0
Let z = 5 - 15. Let u(c) = -c**3 + 10*c**2 + 14*c - 13. Let p be u(11). Let w = z + p. What is the tens digit of w?
1
Suppose 755 = -2*v + 7*v. What is the units digit of v?
1
Suppose -l - 2 = -0. Let h(f) = -f**3 + 2*f. What is the units digit of h(l)?
4
Let i(u) be the third derivative of u**4/24 + 5*u**3/6 - 3*u**2. What is the units digit of i(5)?
0
Let l be ((-10)/3)/1*-18. Suppose -4*t = -0*t - l. What is the tens digit of t?
1
Let h be 9*((-2)/2)/(-3). Suppose -
|
{
"pile_set_name": "DM Mathematics"
}
|
-4, -0.4, d, y
Let a be (-2)/((-2)/8*-2). Suppose -5*q = 5*v - 62 + 17, -v + 2*q - 3 = 0. Suppose -19 = u + v*t, 5*u - 2*t + 0 = 13. Sort a, 5, u in decreasing order.
5, u, a
Let b(t) = -t**3 + 4*t**2 - 3*t - 4. Let p be b(5). Let u = -45 - p. Put -3, u, 4 in decreasing order.
4, u, -3
Let n be (4/(-8))/((-1)/2). Let d be (n/(-3))/(12/(-144)). Suppose 3*v + q - 9 = 0, -v + d*q - 3 = -2*v. Sort -3, -4, v.
-4, -3, v
Let b = 1075 + -1078. Sort 1/6, 0.07, 0.3, b in decreasing order.
0.3, 1/6, 0.07, b
Let t = 14 - 12. Let m = t + 0. Let i = -3.33 + -0.67. Put i, m, -0.4 in increasing order.
i, -0.4, m
Let m be (3 + 0)*((-56)/147)/8. Put -1, m, -5, -2/7 in increasing order.
-5, -1, -2/7, m
Let f(q) = q**3 - 31*q**2 - 63*q - 97. Let j be f(33). Let v = 3 - 6. Sort j, -4, v, 5 in increasing order.
-4, v, j, 5
Let u = -0.5 + 0. Let k(p) = -1 - 175*p**2 - 2*p**3 + 156*p**2 + p**3 + 0*p**3. Let x be k(-19). Put -2/5, u, x in ascending order.
x, u, -2/5
Suppose -6*d + 4*d = 0. Suppose -16 = -12*f + 8*f. Sort 3, d, f.
d, 3, f
Let k be (-2)/6 - (102/(-18) - -6). Put k, -5, 2/3 in descending order.
2/3, k, -5
Suppose 142*j - 152*j = -20. Sort 5, -2, j, -5 in ascending order.
-5, -2, j, 5
Let w be (-7)/(-39) - (-24)/156. Let y = 31.2 - 31.4. Put -0.05, w, -3, y in descending order.
w, -0.05, y, -3
Let u(i) = 2*i**3 - i**2 + i - 1. Let j be u(1). Suppose 50 = 2*c - 4*s, -5*s = 3*c - 22 + 2. Suppose c*m - 75 = -0*m. Put j, 4, m in increasing order.
j, 4, m
Let a = 4 + 27. Let u = -63 - -36. Let w = u + a. Sort 4/5, w, -3 in increasing order.
-3, 4/5, w
Let v be 2*((-533)/123)/((-2)/(-3)). Put v, -3, -1, 4 in descending order.
4, -1, -3, v
Let v be (-648)/900*(-10)/(-3). Put 0.1, v, 0.4 in descending order.
0.4, 0.1, v
Let y = 17.4 - -0.6. Let s = y - 17.8. Sort 3/2, s, -0.3.
-0.3, s, 3/2
Suppose 267*v + 418 = 229*v. Let n(y) = y**2 - y - 3. Let l be n(3). Let w = -2 + l. Sort v, 0, w.
v, 0, w
Let f(t) = t**3 + 6*t**2 + 5. Let m be f(-6). Suppose -7*l + m*l = -4*l. Sort -5, l, 6, -4/7 in decreasing order.
6, l, -4/7, -5
Let d = 12.6 - 12.7. Sort -1, 2, -1/5, d.
-1, -1/5, d, 2
Suppose -4*l = 3*a - 2 + 3, l = -2*a + 6. Sort l, 3, 23.
l, 3, 23
Let p be 0 + (0 - -56)/4. Suppose -4*q - p = -5*y, y - 2*y - 2 = 4*q. Let r = -1 + -3. Sort r, -2, y in descending order.
y, -2, r
Let b = -0.129 + 57.129. Let t = -26 + b. Let c = t - 28. Put -3, -2, c in increasing order.
-3, -2, c
Let h be 2/1 + -24 + -5. Sort h, -2/5, -0.5, 5.
h, -0.5, -2/5, 5
Let c = -5239 - -5265.63. Let t = 0.63 - c. Let b = 26 + t. Sort 2/5, b, 4 in increasing order.
b, 2/5, 4
Let i = 0.01 + -5.01. Let u = 14 - 12.3. Let v = u - 1.4. Sort 4, v, i in descending order.
4, v, i
Let w be (27/2 - 1/2) + -4. Suppose 3*z + w*v - 5*v = -57, 2*z + 5*v + 38 = 0. Put 4, 2, z in ascending order.
z, 2, 4
Let t = 0.00284 + -27.31084. Let v = 0.592 - t. Let z = 28 - v. Put 8, z, 1/4 in decreasing order.
8, 1/4, z
Let d(c) = -c**3 - c**2 - 4*c + 2. Let u be d(0). Put 7, u, 4, -9 in ascending order.
-9, u, 4, 7
Suppose -3*n - 4*h = 44, -26*n + 4*h = -23*n + 4. Sort -5, 3, -6, n in increasing order.
n, -6, -5, 3
Let y = -121/6 - -20. Suppose -4*r + 2*q = r + 5, -r + 11 = 2*q. Let g = 0.47 + -0.48. Sort r, g, y.
y, g, r
Suppose n - 25 = -4*n. Let p = n - 2. Let y = p + -3. Sort 2/15, 1/2, y in ascending order.
y, 2/15, 1/2
Suppose h + 2*h = 6. Suppose 0 = -102*o + 68*o - 68. Let x = 8 + -12. Sort h, x, o.
x, o, h
Let y(b) = 4*b + 115. Let z be y(-30). Let k = -5 + 10. Sort 0.4, k, z.
z, 0.4, k
Let h = -72 + 72. Let s = h - -4. Let m = 2.3 - 2. Put 0, m, s in increasing order.
0, m, s
Let r(m) = m**2 + 4*m - 27. Let k be r(-8). Let u(o) = o**3 + 1. Let t be u(0). Suppose 3*s = s. Sort s, k, t in descending order.
k, t, s
Let o be (15/6 - 2)*8. Suppose 10 = -6*z - 8. Let p be (-4)/4 + (-6 - z). Put o, 5, p in ascending order.
p, o, 5
Let d be 6 - ((-1650)/(-24))/11. Let y = -7 - -2. Sort -0.03, y, d in descending order.
-0.03, d, y
Let r = -0.6 + 0.3. Let a = 23 + -15.7. Let i = a + -7.7. Sort r, -2/25, i in decreasing order.
-2/25, r, i
Suppose -2*k - 3*v - 8 = -2*v, -3*k - 5*v = 5. Let c be 3616/304 - (-2)/19. Put c, k, -3, -2 in descending order.
c, -2, -3, k
Let b = -6 + -2. Let k = 264.4 + -256. Let v = k + b. Sort -1/2, v, -0.1 in decreasing order.
v, -0.1, -1/2
Let z be 14 + -13 + 4/(-3). Sort z, 0, 2/11, 2.
z, 0, 2/11, 2
Let w = 0.12 - -0.28. Let m = -140 - -139. Sort w, -2, -29/4, m.
-29/4, -2, m, w
Let n be (-2 - 2)*3/3. Let d = 67 + -113. Let z be (-8)/44 - d/11. Sort -2, z, n in decreasing order.
z, -2, n
Suppose -i + 114 - 104 = 0. Suppose 0 = 4*f + i + 2. Suppose 3*t = w - 4, -2*t + 4*w = 9*w - 3. Sort 0, f, t in descending order.
0, t, f
Let i = 267.1 + -267. Sort 2/5, i, 31 in decreasing order.
31, 2/5, i
Let i be (12/9)/((-11)/(-132)). Put 3, 4, 2, i in descending order.
i, 4, 3, 2
Let b = 4174 - 4106.96. Let k = b - 71. Let u = 0.04 - k. Sort u, -3, -0.05 in descending order.
u, -0.05, -3
Let i = 2 - 3. Let o = 263/77 + -36/11. Let r be (-2)/11*(-3 - -2). Sort i, r, o in decreasing order.
r, o, i
Suppose 4*a - 5*t + 25 + 7 = 0, 6 = 2*a + 3*t. Sort 0, a, 21, 1.
a, 0, 1, 21
Let b = 230.6 + -231. Put b, 0.3, -5, 2/11 in ascending order.
-5, b, 2/11, 0.3
Let y = 46 - 39. Let v be (-6)/(-24) + y/(-20). Sort 2, v, 0.1.
v, 0.1, 2
Let x = -341 - -319. Sort x, 0.3, -2 in descending order.
0.3, -2, x
Let f = -30 + 31. Let o = f - -4. Suppose -2*u = -4*l - 8, 2*u + 3*u + 16 = l. Put -0.5, o, l in descending order.
o, -0.5, l
Let n = -157 + 1103/7. Suppose 2*l - 6 = g, -3*g = -l - 2*l + 18. Put n, -0.5, g in increasing order.
g, -0.5, n
Let w = 13 + -13. Let r be 1/(-5) - (-8)/(-110). Let c = -20/33 - r. Put w, 2/5, c in ascending order.
c, w, 2/5
Let l = 134 - 139. Let w = 15 + -11. Suppose 2*s + 2*a + 0*a - 8 = 0, -w*s + 3*a + 9 = 0. Put s, -1, l in increasing order.
l, -1, s
Let m = -74.74 + 74. Let n = m + 0.24. Put 0.5, -3, n in decreasing order.
0.5, n, -3
Let g(z) = 18*z + 35. Let a be g(-2). Suppose 4*c - 21 = w, -3*w = -c - 2*w + 3. Suppose f = 6*f. Sort f, a, c in descending order.
c, f, a
Suppose x + 2 = o - 3, 0 = -4*o + 5*x + 21. Suppose 2*a = -2*a - 3*z + 21, o*a = 3*z + 27. Sort 4, a, 3.
3, 4, a
Let j = -2 - -6. Let z(y) = -20 - 4*y + y + 6. Let t be z(-5). Sort j, t, -12.
-12, t, j
Let p = 378 + -383. Sort p, -2/15, -1.
p, -1, -2/15
Let n = -2 + 7. Let f = -6 + n. Sort -3, f, -2 in decreasing order.
f, -2, -3
Let h be (-4 + 11)/((-2)/4). Let x be -2 - (1 - (-46)/h). Sort 0.5, x, 3/8 in increasing order.
x, 3/8, 0.5
Let k = 37 + -38. Suppose -3*o - 3*r = -3, 0 = o - 3*o + 2*r + 10. Sort o, k, -4 in decreasing order.
o, k, -4
Let g = -1.111 + 1.311. Put 0.3, -20, g in decreasing order.
0.3, g, -20
Let o be (-2 - 12/(-8))*(-2 + 4). Sort -0.2, o, 1.
o, -0.2, 1
Let b be (-2 - -4)/((-4)/(-14)). Suppose -b*t = -3*t. Sort t, 6, 1, 3.
t, 1, 3, 6
Suppose 0 = 14017*g - 14004*g - 416. Sort g, 3/2, -0.2 in ascending order.
-0.2, 3/2, g
Suppose 4*f + 34 = 3*s, 18 - 60 = -5*s + 3*f. Let x be (-16)/(-12) + 2/(-6). Sort x, -5, s, -3.
-5, -3, x, s
Let p(i) = 99*i + 687. Let n be p(-7). Put 2/13, 11, n, -2 in descending order.
11, 2/13, -2, n
Suppose -61*u + 24 = -55*u. Sort -1, 0, u, -2 in ascending order.
-2, -1, 0, u
Let g(p) = -2*p**3 + p**2 + 15*p - 19. Let a be g(-3). Let m(s) = 7*s. Let t be m(-1). Put 5, a, 0, t in ascending order.
t, a, 0, 5
Suppose -5*s + 4*s + 5 = -2*q, 2*s - 10 = 0. Suppose q = -2*x - x - 12. Let i = 88 - 89. Sort x, 0, i in increasing order.
x, i, 0
Let s = -1814 + 5440/3. Let u = -3 - 1. Let p = u - -6. Sort s, -4, p in descending order.
p, s, -4
Let s(r) = r**3 - 2*r - 46. Let p be s(0). Sort -5, 1, p in descending order.
1, -5, p
Let u = -0.49 + -0.05. Let z = u - -0.65. Sort 0.3, z, -4/3 in increasing order.
-4/3, z, 0.3
Let t = 53 + 61. Let q be 8/(-44) - t/(-22). Put q, -3, 2, 3 in descending order.
q, 3, 2, -3
Let z = 233 - 158. Let o be ((-6)/z)/((-36)/(-20865)). Let k = 93/2 + o. Sort 0.5, k, -3/5 in descending order.
0.5, k, -3/5
Let n(l) be the third derivative of 1/120*l**6 + 3/2*l**3 + 0 + 5*l**2 + 0*l + 3/8*l**4 + 2/15*l**5. Let x be n(-7). Sort x, 5, 0 in ascending order.
x, 0, 5
Let m = 30 + -152/5. Suppose -50*r + 6 = -52*r. Sort 4, r, -0.02, m in decreasing order.
4,
|
{
"pile_set_name": "DM Mathematics"
}
|
prime factors of 346493726?
2, 419, 413477
What are the prime factors of 440453639?
1033, 426383
What are the prime factors of 2188528378?
2, 109, 10039121
What are the prime factors of 4153853788?
2, 7, 1721, 86201
List the prime factors of 50244259.
13, 23, 197, 853
List the prime factors of 949694958.
2, 3, 29, 1819339
List the prime factors of 1008807225.
3, 5, 1361, 9883
List the prime factors of 541071349.
7, 13, 5945839
What are the prime factors of 2215725836?
2, 83, 307, 21739
What are the prime factors of 89051468?
2, 11, 31, 65287
List the prime factors of 32374611.
3, 3597179
List the prime factors of 5771640444.
2, 3, 131, 3671527
List the prime factors of 139387995.
3, 5, 79, 39209
What are the prime factors of 287187895?
5, 37, 1552367
What are the prime factors of 225750116?
2, 56437529
List the prime factors of 98546594.
2, 49273297
What are the prime factors of 1339913823?
3, 446637941
List the prime factors of 251019505.
5, 11, 29, 337, 467
What are the prime factors of 66541910?
2, 5, 17, 37, 71, 149
List the prime factors of 1448689840.
2, 5, 13, 383, 3637
List the prime factors of 166995225.
3, 5, 742201
List the prime factors of 3015643186.
2, 383, 577, 6823
List the prime factors of 9168342.
2, 3, 433, 3529
What are the prime factors of 2203638003?
3, 7, 34978381
What are the prime factors of 579672076?
2, 1523, 95153
List the prime factors of 84359833.
97, 869689
What are the prime factors of 84748948?
2, 379, 55903
What are the prime factors of 526556900?
2, 5, 853, 6173
List the prime factors of 692832713.
692832713
What are the prime factors of 61616275?
5, 7, 179, 281
List the prime factors of 51666217.
51666217
List the prime factors of 7977609.
3, 149, 661
List the prime factors of 2067466796.
2, 89, 883, 6577
What are the prime factors of 4199237041?
37, 113492893
What are the prime factors of 1056177371?
3373, 313127
What are the prime factors of 92768423?
11, 8433493
What are the prime factors of 637854462?
2, 3, 7, 14759
What are the prime factors of 485434299?
3, 7, 23115919
What are the prime factors of 539007050?
2, 5, 29, 127, 2927
What are the prime factors of 4571102042?
2, 13, 19, 9253243
List the prime factors of 264063836.
2, 83, 109, 7297
What are the prime factors of 812830822?
2, 41, 241, 41131
List the prime factors of 764673993.
3, 31, 913589
What are the prime factors of 98936924?
2, 113, 218887
What are the prime factors of 58633376?
2, 1832293
List the prime factors of 459453296.
2, 59, 181, 2689
What are the prime factors of 8317451163?
3, 7, 199, 1087, 1831
List the prime factors of 3020271737.
7, 4621, 93371
What are the prime factors of 227980727?
13, 17, 31, 107, 311
What are the prime factors of 94123075?
5, 3764923
What are the prime factors of 57816090?
2, 3, 5, 569, 1129
What are the prime factors of 8710669782?
2, 3, 483926099
List the prime factors of 6157728198.
2, 3, 97, 1867, 1889
What are the prime factors of 49092631?
7, 1361, 5153
List the prime factors of 40308084.
2, 3, 41, 9103
What are the prime factors of 153980512?
2, 7, 687413
List the prime factors of 2149777482.
2, 3, 29, 12355043
List the prime factors of 2335790013.
3, 778596671
What are the prime factors of 2233651052?
2, 167, 3343789
What are the prime factors of 965258420?
2, 5, 7, 127, 233
What are the prime factors of 596337018?
2, 3, 31, 103423
List the prime factors of 105532033.
4973, 21221
List the prime factors of 4629324.
2, 3, 7, 7873
What are the prime factors of 2643010197?
3, 59, 14932261
List the prime factors of 22839846.
2, 3, 3806641
List the prime factors of 283305376.
2, 79, 112067
What are the prime factors of 1208421932?
2, 23, 2441, 5381
List the prime factors of 96176589.
3, 491, 65293
List the prime factors of 418853315.
5, 1279, 65497
List the prime factors of 2828844964.
2, 11, 5844721
What are the prime factors of 37365135?
3, 5, 2491009
What are the prime factors of 449438647?
7, 64205521
What are the prime factors of 838687607?
19, 1847, 23899
What are the prime factors of 25186394?
2, 12593197
List the prime factors of 24878438.
2, 13, 173, 5531
What are the prime factors of 7735501079?
7735501079
What are the prime factors of 54512804?
2, 13628201
List the prime factors of 113956077.
3, 2309, 16451
What are the prime factors of 31922480?
2, 5, 399031
What are the prime factors of 3937545939?
3, 281, 4670873
List the prime factors of 3983374.
2, 53, 37579
List the prime factors of 995547375.
3, 5, 97, 3041
What are the prime factors of 112128011?
112128011
List the prime factors of 10631626.
2, 641, 8293
What are the prime factors of 10183180?
2, 5, 7, 10391
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2, 3, 4067753
What are the prime factors of 81505687?
19, 101, 42473
List the prime factors of 759472581.
3, 7, 23, 1572407
What are the prime factors of 7191738?
2, 3, 399541
What are the prime factors of 265606635?
3, 5, 7, 47, 107, 503
What are the prime factors of 1489492861?
30839, 48299
What are the prime factors of 2633759940?
2, 3, 5, 7, 6270857
List the prime factors of 720454119.
3, 7, 11, 3118849
List the prime factors of 70213651.
70213651
List the prime factors of 234429602.
2, 11, 2161, 4931
List the prime factors of 310280505.
3, 5, 20685367
List the prime factors of 468656892.
2, 3, 11, 1183477
What are the prime factors of 1349683935?
3, 5, 1279, 70351
What are the prime factors of 675485072?
2, 17, 113, 21977
List the prime factors of 1704777997.
13, 37, 3544237
What are the prime factors of 4253808547?
14983, 283909
List the prime factors of 699626847.
3, 2851, 81799
What are the prime factors of 148410002?
2, 13, 5708077
List the prime factors of 8790108.
2, 3, 732509
What are the prime factors of 1677446804?
2, 11, 191, 199601
List the prime factors of 268481003.
7, 1117, 34337
List the prime factors of 67146258.
2, 3, 11191043
What are the prime factors of 3412050300?
2, 3, 5, 3791167
List the prime factors of 28911966.
2, 3, 23, 9109
List the prime factors of 650670460.
2, 5, 11, 23, 128591
List the prime factors of 328817933.
19, 910853
List the prime factors of 142525625.
5, 11, 20731
What are the prime factors of 2293910338?
2, 1146955169
List the prime factors of 3788814376.
2, 6263, 75619
What are the prime factors of 937112192?
2, 7321189
What are the prime factors of 26622895?
5, 13, 19, 21557
What are the prime factors of 486849797?
7, 2281, 30491
List the prime factors of 3030353021.
37, 79, 223, 4649
List the prime factors of 1249359275.
5, 49974371
List the prime factors of 32702720.
2, 5, 29, 881
What are the prime factors of 260465849?
7, 29, 1283083
What are the prime factors of 1847007575?
5, 7, 19, 555491
List the prime factors of 55774257.
3, 7, 11, 83, 2909
What are the prime factors of 56960081?
17, 19, 176347
What are the prime factors of 2784255947?
11, 253114177
List the prime factors of 288565906.
2, 1979, 72907
List the prime factors of 16420254.
2, 3, 41, 66749
What are the prime factors of 820515163?
13, 63116551
List the prime factors of 310853317.
37, 1049, 8009
List the prime factors of 78597951.
3, 61, 429497
List the prime factors of 75568172.
2, 18892043
List the prime factors of 236744024.
2, 11, 31, 86783
What are the prime factors of 182055549?
3, 13, 19, 67, 193
What are the prime factors of 6531715?
5, 1306343
What are the prime factors of 106802245?
5, 11, 17, 103, 1109
List the prime factors of 46395364.
2, 313, 37057
List the prime factors of 91477360.
2, 5, 13, 87959
List the prime factors of 109397576.
2, 47, 131, 2221
List the prime factors of 110101515.
3, 5, 7340101
List the prime factors of 3268312000.
2, 5, 408539
List the prime factors of 267962423.
267962423
List the prime factors of 226364711.
226364711
What are the prime factors of 41275373?
41275373
List the prime factors of 655675595.
5, 131135119
List the prime factors of 100588892.
2, 25147223
List the prime factors of 220555645.
5, 44111129
What are the prime factors of 149289236?
2, 37322309
What are the prime factors of 273414627?
3, 61, 349, 1427
What are the prime factors of 557455984?
2, 1213, 28723
What are the prime factors of 714728294?
2, 7, 51052021
What are the prime factors of 245879930?
2, 5, 24587993
List the prime factors of 401804159.
67, 101, 59
|
{
"pile_set_name": "DM Mathematics"
}
|
14*j + 7 = -13*j, 5*j - 1 = 2*h. Suppose -3*n + n = 0. Solve n = -h*v + 2*m, 4*m + 3 = 2*v + m for v.
-3
Let n = -20 - -20. Suppose 5*u - 2*q - 3*q - 30 = n, u + 3*q + 10 = 0. Solve v = 2*s + 9, -4*v = s + 11 - u for s.
-5
Let x(p) = p**2 + 2*p. Let l be x(0). Suppose a + 15 = 4*h, 6 = -l*h - h - 3*a. Solve -3*q + 2 = -b + h, b - 8 = -4*q for q.
1
Suppose 86*n - 10 = 84*n. Solve -7*h + 3*h - 2*a - 24 = 0, 0 = -n*h + a - 16 for h.
-4
Let m be (-9 - 11) + -1 + 1. Let k = -1 + m. Let y be 16/7 + 6/k. Solve -5*a + y*q = q + 3, 2*a + 2*q = -6 for a.
-1
Let d(n) = n + 4. Let t(z) = z**2 + 4*z + 3. Let r be t(-6). Let l = r - 19. Let p be d(l). Solve -s + 4*v + 1 = p, 3 = -2*s + 4*v + 5 for s.
1
Let u be ((-48)/3)/(0 + (-2)/(-11)). Let v = u + 88. Solve 5 = -r - 3*p, 2*r + 4*p + v + 4 = 0 for r.
4
Let z(w) be the first derivative of w**4/4 + 8*w**3/3 + 2*w**2 - 10*w + 19. Let u be z(-7). Solve 4*o = -2*h + 10, 8*o = 3*o - 2*h + u for o.
1
Suppose h = -h + 4. Let x(g) = -g**2 - 7 - 1 - 1 - 15*g + 0*g**h. Let b be x(-14). Solve 4*u - 3*q - 3 = 0, 2*q = b*u - 0*q - 2 for u.
0
Let r be 0 + 4 - 8 - -82. Let i be (r/(-65))/((-4)/10). Suppose -4 = -h - 5*s + 3, -5*s + 5 = 0. Solve h*l + 3*l = i*o + 12, 5*l = -2*o + 17 for l.
3
Suppose 75*l - 97*l + 66 = 0. Solve -4*k = -5*m - 9 - 13, -9 = -k + l*m for k.
3
Let j(o) = o**2 - 24*o - 243. Let i be j(32). Solve -5*d + 3*g = 2, -i = 4*d + 3*g - 33 for d.
2
Suppose -a + 4*b = -18, -11*a + b = -14*a + 2. Solve 2 = a*r, r + 0 = 2*l - 1 for l.
1
Suppose -4*g - 9 = -7*g, 2*b - g = 27. Suppose 0 = -3*j + b, 5*o - 4*j + j = -15. Let q be (o - 0/5) + 2. Solve a + 3*z + 0*z = -2, -4*z + 14 = -q*a for a.
-5
Suppose k + 0*k - 2 = 0. Let f = 383 + -381. Let a = f + k. Solve 2*u - a*u - 8 = 0, -u = -v + 5 for v.
1
Suppose 0 = 2*a + 4 - 12. Let x be (-4)/18 - (-40)/18. Suppose -2 - 2 = -x*f. Solve a*n = 4*y - 16, 5*n + y - f*y = 0 for n.
1
Suppose 3*s + 1 - 13 = 0, 5*s - 14 = 3*y. Suppose -9 = -y*n - 17. Let h be 0 - (-3)/((-6)/n). Solve 23 = h*o - 3*v, -o = -2*o + v + 9 for o.
4
Let s = -1525 - -1533. Solve -4 = 3*q - 4*n, -5*q + 1 = -s*q + n for q.
0
Let s(m) be the second derivative of m**3/6 + 17*m**2/2 - 4*m. Let t be s(-13). Suppose -h + t*h - 6 = 0. Solve 2*j - 6*p = -h*p + 4, -3*p = 5*j - 10 for j.
2
Suppose 26*r - 17 = 61. Solve -3*i - 4*c - 3 = 0, -5*i + c - r*c + 9 = 0 for i.
3
Let c(i) = i**3 + i**2 - 3*i + 2. Let h be c(2). Solve -5*r + 23 = 3*t, r + 4*t = h*t for r.
4
Let i be 0 - (((-15)/3 - -1) + 1). Solve f - i = 5*v, 5*f - 4*v = 1 - 7 for f.
-2
Let p = 181 - 181. Solve p = 4*x - 4*v + 36, 3*x + 0*v + 7 = -2*v for x.
-5
Let o(k) be the third derivative of -k**5/60 + 5*k**4/8 - 4*k**3 + 16*k**2. Let d be o(11). Solve -2*p + 0 + 10 = 2*s, 0 = p - 4*s + d for p.
0
Let c = -4 + 6. Suppose 2*z = j + c*j + 7, 0 = 2*j + 4*z - 22. Suppose 0 = -7*r + 8*r - 2*d - 5, 2*d = -2. Solve 4*u + 6 = 5*p, -r - j = 2*u - 3*p for u.
1
Let h = -34 + 37. Suppose -4*v + 4 + 3 = -h*f, 3 = 5*v + 2*f. Suppose 3*i - 22 = -v. Solve -i = 3*y + 2*r, 3*y + 40 = -y + 5*r for y.
-5
Let b be ((-36)/(-14))/(3/14). Let m be 44/b + 2/(-3). Solve -5*x + 4*t = 1 - 15, -x = -t - m for x.
2
Let p be 12/(-14) - 4*25/(-35). Solve -5*s - 3*l - 13 = 0, p*l - 1 = 3*l for s.
-2
Let x be (25/(-20))/((-3)/12). Suppose 2*s - 4*y = 17 + 3, -s - x*y - 25 = 0. Solve 2*o - 3*i - 9 = 0, 0 = i + 1 - s for o.
3
Let r = 15 - 9. Let s be ((-1)/(-1))/(r/(-12)). Let k be (s - (-21)/6)*2. Solve -f = k*c - 8, 4*f - 3*c + 13 = -0*c for f.
-1
Let o = -184 - -188. Solve 3*l + 2*v = 3*v + 4, 6 = -l + o*v for l.
2
Let t(m) = 27*m**2 + 1. Let o be t(-1). Suppose -x = 12 - o. Let c = x + -14. Solve -3*y - y = 4*u, 5*u + c*y - 3 = 0 for u.
1
Let g be 37 + 1*(-2 + 5 - 0). Let p = -36 + g. Solve 3*c + p = -z, -2*z + 4*c + 2 = 10 for z.
-4
Suppose 6*b = 13*b - 63. Solve -b = 3*n + 8*c - 11*c, 2*n - 3*c + 6 = 0 for n.
-3
Let j = 659 + -655. Solve 2*s + 6*l = 2*l - j, s - l + 2 = 0 for s.
-2
Suppose 0 = 27*p - 189. Solve 0 = -3*z + w + 4, p = -4*z + 3*w + 9 for z.
2
Let x = -317 - -322. Solve 12 = -3*v + b, 0*v - 5*v - 20 = x*b for v.
-4
Let z(v) = 5*v + 32. Let h be z(-5). Suppose -11 + h = -b, 2*y + 5*b = 28. Solve -2*u = y*r + u, r = 5*u for r.
0
Suppose 86 - 23 = -b. Let k = -42 + 33. Let d be 2/k + (-203)/b. Solve -5*g - d*q + 10 = -0*q, 2*q = -4*g + 6 for g.
-1
Suppose 3*x + k = 42, x - 4 = -3*k + 2. Suppose 3*q + 3*i = 39, x = 4*q + q - 5*i. Let w be ((-1)/(-2) - 0)*0. Solve 2 = -m + s, q = -m - w*m - s for m.
-5
Let m = 1 + 1. Let x(f) = f - 2. Let p be x(m). Let b(t) = 6*t - 106. Let k be b(18). Solve 0 = -k*z + i - 3, p*z + i - 7 = 3*z for z.
-4
Let h = 43 - 39. Suppose 3 = 2*p + 2*m - 9, -h*p = 3*m - 29. Solve 5*u - 2*b + 18 + p = 0, 0 = -5*u + 3*b - 31 for u.
-5
Let i(f) = 4*f**2 - 2*f - 7. Let u be i(-5). Suppose 5*o - u = o + 3*s, 2*s + 102 = 4*o. Solve -5*t + o = 0, 5*n - 4*t + 2*t = -25 for n.
-3
Let b(g) = -3*g - 53. Let s be b(-19). Suppose 2*r - 3*l = -0 + 10, -r + l = -s. Solve 2*t = -4*k - 22, -23 - r = 5*t + 4*k for t.
-1
Let o(a) = -a - 9 + 14 + 20*a**2 - a**3 - 18*a. Let u be o(19). Solve 9 = -x - u*w, 2 - 9 = -3*x + 2*w for x.
1
Let z be 8/(-30)*3*-10. Solve -5*i + q = 22, -z = i + 2*i + 2*q for i.
-4
Suppose 0 = 4*r - 9*r + 40. Solve -3*y - r = -2*y - n, -24 = 5*y - n for y.
-4
Let b = -17 - -61. Let z = b + -42. Solve y - 3*v = -3, -4 = z*y - v + 2 for y.
-3
Suppose -43 = -5*b + 2. Let h = b + -6. Suppose 4*v = h*v + 6. Solve 5 = -5*m + 4*n - v, -n = -4*m for m.
1
Let y(o) = -o**2 + 8*o + 6. Let h be y(8). Suppose 0 = 2*g - 4*g + h. Solve 4 = -3*v + 4*m, 0*v + 3*v - g = -3*m for v.
0
Let s(i) = i**3 + 25*i**2 - 56*i - 49. Let q be s(-27). Solve 3*j - 3*b + 17 = -b, q*j - b + 19 = 0 for j.
-3
Suppose -c = -4*p + 2, -2*c = 2*c - 2*p - 20. Let u = -62 + 64. Suppose r + 4*d - 4 = 0, u*r + 3*r + 2*d - 2 = 0. Solve -g - a + 1 = r, 1 = 4*g - 5*a + c for g.
0
Suppose 0 = -4*h - 4*i + 32, -2*h + 13*i + 16 = 12*i. Solve 3*z = -4*b + h, -5*b + 4*z - z = -10 for b.
2
Suppose -z - 5*f + 17 = 0, 2*z + 1 = 2*f - 1. Solve 9*c - 4*c + 4*m - 8 = 0, -c + m - z = 0 for c.
0
Let r = -16 - -22. Suppose r*v - v - 125 = 0. Suppose -7 - 23 = -3*p - 5*h, -5*h = 2*p - v. Solve 0 = -j - 5*m, -p*j - 5*m + 20 = -0*m for j.
5
Suppose -5*y = o - 17, -2*y + 2*o = -0 - 2. Suppose -5*q + 5*x = 0, 4 = -y*q + 5*x - 0*x. Solve 5 = -h + i, -3*h - 9 = -q*h - 2*i for h.
-1
Suppose 0 = 5*w - 43 + 158. Let p = 46 + w. Suppose 0 = -0*c + 3*c - 5*y - p, y = c - 7. Solve 4 = -2*q, 0 = -h - 3*h - 3*q - c for h.
0
Suppose j = -3*j + 4, p - 4*j = 0. Suppose p*m + 7*x - 2*x = -20, 0 = -x + 4. Let v = m + 14. Solve 2*f - 5*d - 4 = -f, v*d - 13 = -3*f for f.
3
Let g = -848 - -834. Let x(l) = -2*l - 5 - 3*l + 4*l. Let r be x(g). Solve 3*h - 7 = 2*a, 3*h - 3*a = -h + r for h.
3
Let c(k) = -k**3 + 35*k**2 + 38*k - 69. Let i be c(36). Solve 2*b + 10 = -2*o + i*b, 3*b = 12 for o.
-3
Let k(v) = v**2 + 2*v - 7. Let y be k(-5). Let i = 10 - y. Suppose -2*u = -10, -100 = i*q - 5*q - 5*u. Solve 0 = 5*d - q, 2*d - 5*d = -5*l + 10 for l.
5
Let m(p) = -80*p**2 - 13*p - 82*p**2 + 165*p**2 + 8. Let c be m(4). Solve 2*j = 6*j + 5*h - c, 0 = -4*j + 4*h + 4 for j.
1
Suppose -3*b + 8 = 2*z, -2*z = -b - 5 - 3. Let o be 21/14*(5 - 3). Solve 20 = s + o*s - 4*q, -5*s = z*q - 7 for s.
3
Suppose 10*r - 12*r - 32 = -2*h, r = 2*h - 28. Solve -4*q + 2*f = 0, 2*q + 7*f + 8 = h*f for q.
1
Let s = 15 - -85. Let y be (s/5)/4 + -3. Solve 0*g - 5*z = y*g, -g - 4*z - 3 = 0 for g.
5
Suppose -12*m + 5*m - 21 = 0. Let b(q) = q + 6. Let l be b(m). Solve -f - l = 2*j, f - 1 + 5 = -j for j.
1
Suppose -4*j + 2*s = -312, -5*j + 5*s = -0*s - 380. Let w = j - 80. Solve 0 = -t + 5*c - 5, w*c = c - 2 for t.
5
Suppose -35 = -26*w + 19*w. Solve -3*n = 3*y - 0*y, w*n + 9 = 4*y for n.
-1
Let r(u) = 2*u**2 - 2*u**2 + 6*u**2. Let z be r(-1). Solve -z*h + 2*h + 15 = i, -4*h = -2*i - 18 for h.
4
Let y = 56 + -56. Suppose -3 = 3*p, -2*b - 4*p + 23 = p. Let r = -11 + b. Solve y = 3*o - 3*w - 6, -2*w - 3 = -r*o - 0*o for o.
-1
Let b = -360 + 353. Let q = 12 - 5. Let m = b + q. Solve m = 3*p - 6, -r - 16 = -3*p - 5 for r.
-5
Let t be -3*(-8)/(-6) + -6 + 12. Suppose -i + 2*n = -t*i + 12, -9 = -i - n. Solve 2*k + a = -3*a + i, 3*a = -3*k + 3 for k.
-1
Let y be 4/1
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3. Suppose 2*v = -10, 10*s + 1 = 13*s + v. Give i(s).
-1
Let h(m) = -4*m**2 + 11*m - 2. Let b(g) = -5*g**2 + 11*g - 3. Let k(n) = 5*b(n) - 6*h(n). Give k(-9).
15
Let k(z) = -z + 16. Let s be k(11). Let y(g) = -3 - g - 1 - 4 - s. Calculate y(-8).
-5
Let t(w) = -2*w**3 - 6*w**2 + 7*w - 2. Let r be -6 + (14/42)/((-2)/(-6)). Determine t(r).
63
Let a(l) = -9*l - 5. Let v(u) = u**2 - 10*u - 29. Let x be v(12). What is a(x)?
40
Let x(u) be the first derivative of u**5/20 - u**4/4 + u**3/6 + 3*u**2/2 - 18*u - 2. Let s(w) be the first derivative of x(w). What is s(3)?
6
Let f = -41 + 50. Let j(x) = -x + 3. Let q be j(f). Let w(m) = m - 2. What is w(q)?
-8
Let t = -136 - -138. Let u(v) = 0*v**t - 8*v**2 - 40*v + v**3 - 5 + 48*v. Determine u(7).
2
Let s(q) be the second derivative of q**6/720 + q**5/40 - 5*q**4/12 + 7*q. Let j(u) be the third derivative of s(u). Determine j(-4).
-1
Let g(p) = -p**3 - 1. Let i(x) = 2*x**3 - 6*x**2 - 7*x - 2. Let o(c) = -3*g(c) - i(c). Let k(b) = 2*b**2 - 68*b - 5. Let z be k(34). Determine o(z).
-5
Let t(v) = v**2 + 5*v - 3. Suppose o - 24 + 17 = 0. Suppose 0 = u - 1 + o. What is t(u)?
3
Let v(z) = 3*z**2 + 16*z - 15. Let o(t) = 2*t**2 + 11*t - 10. Let b(h) = -7*o(h) + 5*v(h). Give b(-5).
5
Let i(c) be the first derivative of 2*c**2 + c - 4. Suppose -3*r = 3*n, -7*n + 4*r + 27 = -2*n. Suppose 4*o = 1 + n. What is i(o)?
5
Let h = 1103 - 1108. Let z(m) = -m**3 - 6*m**2 + 2*m - 2. Give z(h).
-37
Let n(h) = -2*h**2 + 8*h - 2. Let u(o) = -o**2 + 1. Let w(f) = -n(f) + u(f). Determine w(8).
3
Let q(y) = -y**3 + 4*y**2 - 4*y + 2. Let z(n) = 5*n**2 + 78*n - 30. Let w be z(-16). Determine q(w).
2
Let i(n) = 3*n - 21. Let c(s) = -6*s + 38. Let j(r) = -4*c(r) - 7*i(r). Give j(-10).
-35
Let m(c) be the first derivative of c**2/2 + 7*c - 1. Suppose 139 = -16*s + 27. Determine m(s).
0
Let x(r) = -r. Let h(f) = 7*f - 6. Let d(w) = -h(w) - 6*x(w). Let y = -62 + 68. Calculate d(y).
0
Let h(i) be the third derivative of -i**6/120 - 3*i**5/20 + i**4/24 + 3*i**3/2 + 11*i**2. Suppose 2*r + 24 = -2*b, 3*b = r + 4*r + 36. What is h(r)?
0
Let l(a) = -5*a - 1329 + 2658 - 1330. Give l(3).
-16
Let h(s) = -5*s**3 + 4*s**2 - s + 4. Suppose 14*m = 17*m + 9. Let l(d) = -6*d**3 + 3*d**2 + 3. Let n(o) = m*l(o) + 2*h(o). Determine n(-1).
-8
Let r(c) be the first derivative of c**4/4 + 9*c + 306. Suppose 3*w = 5*w. What is r(w)?
9
Let x(b) = 3*b**3 - 6*b**2 + 14*b - 9. Let f(d) = -5*d**3 + 6*d**2 - 13*d + 10. Let s(v) = 2*f(v) + 3*x(v). Calculate s(-8).
-7
Let z(a) = a**3 + 21*a**2 - 20*a + 49. Let k be z(-22). Let j(b) = 3*b - 5. Give j(k).
10
Let r(t) = 84*t**3 - 4*t**2 + 92*t**3 - 173*t**3 + 1 - t. Give r(-2).
-37
Let j(k) = -k + 1. Let m(u) = u**3 - 3*u**2 - 2*u - 5. Let w be 6/10 + (-1449)/(-35). Let c be (w/(-9) + 4)*-6. Let h be m(c). Calculate j(h).
-2
Let n(f) = 2*f - 3*f + 4 - 11 + 0*f. Suppose 5*z + 30 = -0. Give n(z).
-1
Let s be 2/(-9)*-21 - (-1)/3. Let z(o) = -o**2 + 5*o - 1. Calculate z(s).
-1
Let t(j) be the third derivative of -43*j**2 + 0*j**5 + 0*j + 1/120*j**6 + 0 + 0*j**3 + 1/24*j**4. Calculate t(-2).
-10
Let s(b) = -2*b. Let h be s(-3). Let a(n) = -30*n**3 + 5*n**2 + 2 + 4*n + 61*n**3 - 32*n**3 - 9. Calculate a(h).
-19
Let x(f) = 11*f - 5*f - 17*f. What is x(3)?
-33
Let d(n) = n**3 - 2*n + 2. Suppose 11*r = -20*r + 62. Determine d(r).
6
Let r(z) = -6*z - 1. Let h be r(-1). Let c be (-18)/12*-1*2. Suppose -5*k + q + h = -3*q, -k - c*q = 18. Let m(l) = l**3 + 3*l**2 + 2*l + 1. Give m(k).
-5
Let o(g) be the third derivative of -7*g**5/60 + g**4/24 - g**3/6 + 31*g**2. What is o(1)?
-7
Let g(p) = -51 + 61 - 15 + 14*p. Determine g(5).
65
Let q be 6*(-2 - (-32)/12). Let f(c) = -q + 4 + c**2 + 12*c - 6*c. What is f(-6)?
0
Let x(t) = 139 + 6*t**2 + t**2 + 6*t - 2*t**2 + t**3 - 136. Give x(-5).
-27
Let d(l) = -7*l + 1. Let m(g) = g. Let t(k) = k**2 - k. Let n be t(-2). Let h(u) = n*m(u) + d(u). Calculate h(2).
-1
Let g(w) = -3*w - 7. Let v = -1206 - -1204. Determine g(v).
-1
Let h(d) = d - 1. Let r(o) = o. Let g = -5 - -1. Let a(x) = g*h(x) - r(x). Let m = -6252 - -6256. Determine a(m).
-16
Suppose -3*u + 7*q - 4*q = 42, 5 = -q. Let i = u + 20. Let z(k) = 2*k + 4 + i - 2. Calculate z(3).
9
Let f(j) = -5*j**2 + 2 - 6498*j - 4*j**3 + 5*j**3 + 0*j**3 + 6500*j. Let v(u) = -u**3 - u**2 - u - 1. Let m be v(-1). Suppose -z + 4 = -m*z. What is f(z)?
-6
Let c be -2 + (-1 - -31)/3. Let v be 4*c - 9/(-3). Suppose -l - 10 = 4*l + 4*j, -5*j - v = -5*l. Let p(s) = s**3 - 3*s**2 + s + 2. What is p(l)?
0
Let o(g) = -g**3 - 36*g**2 + 39*g + 61. Let d be o(-37). Let m(i) = -i**3 - 12*i**2 + 13*i + 9. Determine m(d).
9
Suppose j - 2*f + 0 = -7, 0 = -j + f - 4. Let s(v) = 61*v - 7. Let i(n) = -9*n + 1. Let b(q) = -14*i(q) - 2*s(q). Determine b(j).
-4
Let p(v) = v**2 + 44*v + 286. Let g be p(-8). Let q(r) = -6*r**2 - 2*r. Calculate q(g).
-20
Let k(h) be the third derivative of h**5/60 - h**4/4 + 2*h**3/3 + 19*h**2. Let n(r) = -r - 1. Let l(t) = k(t) + n(t). What is l(7)?
3
Let o = -356 - -361. Let k(p) = -p**3 + 5*p**2 + 2*p. Give k(o).
10
Let x(w) = w**3 - 4*w**2 - 6*w - 1. Let r = -58 + 80. Suppose 25*j = r*j + 15. Calculate x(j).
-6
Let j(d) be the second derivative of -4*d**3/3 - d**2/2 + 10*d. Suppose -4*t - 12 = -0*t. What is j(t)?
23
Let t(f) = -f**2 - 12*f - 37. Let p be t(-4). Suppose -3*k = 1 - 16. Let g(u) = -k*u - 4 + 0*u + 2*u. Calculate g(p).
11
Let v(s) = -17*s + 8. Let m(x) = -6*x + 3. Let o be (-4)/3*(-1 - -4). Let y(k) = o*v(k) + 11*m(k). Let d(z) = z**2 + 10*z + 2. Let n be d(-10). Calculate y(n).
5
Let a(g) = 7*g - 11. Let m(s) = 6*s - 10. Let r(x) = -4*a(x) + 5*m(x). Let o = -15 + 18. Suppose 4*q = -i + 23, -o*i = -4 - 5. Calculate r(q).
4
Let x(q) be the second derivative of q**5/20 - q**4/2 - q**3/2 - 5*q**2/2 + 46*q + 2. Calculate x(6).
-23
Let h(y) = -7*y - 3. Suppose 2*r - 5 = 3. Suppose 4*c = -r - 12. Determine h(c).
25
Let c = -3 + 0. Suppose u = 7 - 4. Let q(g) = 4*g**3 + 5 - 1463*g - 4 - u*g**3 + 1467*g + 5*g**2. Give q(c).
7
Suppose 2*h + 2*h - 4 = 0. Let g(x) = 3*x**3 + 2*x**2 - 3*x - 2. Let d(k) = k**3 - k**2 + k - 1. Let r(f) = h*g(f) - d(f). What is r(-3)?
-16
Let b = -20 - -25. Let p(x) = -2*x**2 - 4 + 5*x**2 - 8*x**2 + b*x + 4*x**2. Determine p(3).
2
Suppose -25*j + 47*j - 23*j = 0. Let n(i) be the third derivative of 0 + 6*i**2 + j*i - 1/12*i**5 - 2/3*i**3 - 1/120*i**6 + 1/12*i**4. Determine n(-5).
-14
Let q = 577 - 574. Let g(x) = 4*x. Calculate g(q).
12
Let s(z) = 7*z**2 + 3*z + 2. Let n be s(-1). Let q be 4/((-5)/(15/n)). Let t(g) = -g**3 + g**2 + g - 2. What is t(q)?
8
Suppose 0 = -y - 45 + 13. Let f = y - -28. Let h(x) = -x. Let r(s) = -s**2 + 5. Let n(t) = f*h(t) - r(t). Give n(-5).
0
Let o = -360 - -354. Let p(a) = -a**3 - 5*a**2 + 4*a - 14. Give p(o).
-2
Let a(f) = -8*f - 6. Suppose -102*t + 96*t - 24 = 0. Determine a(t).
26
Let h(g) = -g - 8. Let m(i) = i**2 - 16*i + 30. Let z be m(13). Give h(z).
1
Let b = -63 + 68. Suppose 0 = -b*n + n - 8. Let j(s) = s**2 + 2*s + 3. What is j(n)?
3
Suppose -14*j + 7*j = -14. Suppose -j - 8 = 10*f. Let g(n) = 17*n + 1. Determine g(f).
-16
Suppose 2*a = 4*u + 8, -5*u + 7 = -2*u + 5*a. Suppose 10 + 20 = 3*y. Let l(p) = -2*p**2 - 1 - 6 - 2 + y. Calculate l(u).
-1
Let w(n) be the third derivative of 5*n**4/24 - n**3 + 61*n**2. What is w(-5)?
-31
Suppose 2*l - 96*f = -91*f - 26, 32 = -3*l + 4*f. Let c(t) = t + 27. What is c(l)?
19
Let p be (-45 + 3)*(-7)/14. Let l = p + -19. Let a(k) = k**2 + k - 2. What is a(l)?
4
Let v(f) = -2*f**3 - 4*f**2 - 7*f - 14. Let p(g) = g**3 + 2*g**2 + 4*g + 7. Let k(r) = -11*p(r) - 6*v(r). What is k(-3)?
4
Let n(x) = -8*x + 9. Let j(a) = -4*a + 4. Suppose 3 = 2*c + 3*z, -c + 4*c - 47 = 4*z. Let b(t) = c*j(t) - 4*n(t). Determine b(1).
-4
Let w(s) = -s**3 - 6*s**2 + 3*s + 5. Let z(n) = -3*n**3 - 11*n**2 + 6*n + 9. Suppose 10 = -5*h + 3*h. Let j(p) = h*w(p) + 2*z(p). Calculate j(7).
21
Let t(m) = -5*m**3 - 12*m**2 + 5*m - 27. Let u(n) = n**3 + n**2 - n + 5. Let o(i) = -t(i) - 6*u(i). Give o(6).
3
Let q(g) = g - 1. Suppose 19 = 3*p - 4*v, 4*p + 3*v - 5 = -13. Let i(f) = 2*f**2 + 9*f - 4. Let j(d) = p*i(d) - 5*q(d). Give j(-4).
17
Let v(m) = m**2 + 4*m + 3. Let f be v(-5). Suppose q = -f + 10. Let w(g) = 5 - 6*g**q + 4*g**3 - 5*g**3 - 3*g - 3. Calculate w(-5
|
{
"pile_set_name": "DM Mathematics"
}
|
2*k**2 - 3*k**2)*(2 + 1 - 1).
-4*k**2
Expand (-4 - q + 4)*(1 + 8*q - 11*q + 6*q).
-3*q**2 - q
Expand (-7 + 26 - 11)*(-5 + 4 + 2)*(-d + 2*d - 3*d).
-16*d
Expand (v - 3*v + 4*v)*(-4 - v + 4).
-2*v**2
Expand (5*s**2 - 4*s**2 + 15 - 14)*(2*s + 0*s - s).
s**3 + s
Expand 0*t**5 + 0*t**5 - 4*t**5 + (3*t + t**4 - 3*t)*(4 + 2 - 4)*(-4*t + 2*t + t).
-6*t**5
Expand (-1 + 1 + 3 + 3 + 0 - 1 + (-1 + 1 - 2)*(0 + 6 - 5))*(0*y**2 + 0*y**2 - y**2).
-3*y**2
Expand -6*a**3 + 2*a**3 + 0*a + 2*a + (-3*a + 3*a + a)*(3*a**2 + a**2 - 7*a**2) - a**3 + a - a.
-8*a**3 + 2*a
Expand 21*c + 14*c - 55*c + (2*c + 0*c - 4*c)*(-2 + 2 - 1).
-18*c
Expand (-2*t**2 + 0*t**2 + t**2)*(3 + 1 + 7).
-11*t**2
Expand (0*w - 3*w + w)*((2 + 1 - 5)*(-1 - 2*w + 1) - w + 2*w + 2*w).
-14*w**2
Expand (-1 - 2*d + 1)*(0*d + d - 3*d)*(3*d - 13*d + 2*d).
-32*d**3
Expand 34*w**3 - 2*w**4 - 28*w**3 + 0*w**4 - 2*w**4 + 5*w**4 - 4*w**4 + 5*w**4 - 2*w**4 - 5*w**4 + (-w - 3*w + 6*w)*(2*w**3 + 0*w**3 - 3*w**3).
-7*w**4 + 6*w**3
Expand -p**4 - 4*p**2 + 4*p**2 + (p**3 + 2*p**3 - 2*p**3)*(-3*p + 6*p - p) - 2*p**4 + 0*p**4 + p**4 + (4*p**3 + p**3 - 4*p**3)*(-3*p - p + 3*p).
-p**4
Expand n**3 + 4 + 2*n + 1 - 2 + (4 - 4 - 2*n**3)*(-4 + 3 + 2) - 3*n**3 + n**3 + n**3.
-2*n**3 + 2*n + 3
Expand (4 - 4 - 1)*(0 + 0 + p) + 47*p - 74 + 74.
46*p
Expand (0 + 2 - 3 + 3*q)*(-3 - q**3 + 3).
-3*q**4 + q**3
Expand (-3*t**4 - 2*t**4 + t + 3*t**4)*(0*t + 5*t + 2*t).
-14*t**5 + 7*t**2
Expand -5 - 5*t**2 + 5 + (-t + t + t**2)*(-2 - 2 + 2).
-7*t**2
Expand -2*o**3 + 2*o**3 + 2*o**3 - o**3 + 4*o**3 - 9*o**3 + (o - o + o**2)*(0*o - 3*o + o).
-6*o**3
Expand ((3*u + 0*u - u)*(5 + 1 - 4) - u + 3*u - 3*u)*(u - 2*u - u).
-6*u**2
Expand 3 + 7*u - 3 - 5 - u + 5 + (-6 + 3 + 1)*(-2*u - 2 + 2).
10*u
Expand (-2*r**2 + 81*r + 82*r - 123*r)*(-1 - 2 + 1).
4*r**2 - 80*r
Expand (5 - 6*m - 5)*(0*m**4 - 2*m**4 + 0*m**4) + 0*m**5 + 0*m**5 - 5*m**5 + (2 - 2*m**2 - 2)*(0*m**3 + 0*m**3 + 2*m**3).
3*m**5
Expand (-1 + 2 + 1)*(-5*i + 3 - 3) + 0*i - 2*i + 0*i.
-12*i
Expand (u**2 + u**2 - 3*u**2)*(-u + u + 2*u**2)*(-6 + 5 - 4 - 5*u).
10*u**5 + 10*u**4
Expand 9*y**2 - 2*y**2 + 15*y**2 + (5 - 2 - 1)*(-4*y**2 + 0*y**2 + 2*y**2).
18*y**2
Expand (-3*g**2 + 2*g**3 - g**2 - 4*g + 3*g**2)*(5 + 5 - 5).
10*g**3 - 5*g**2 - 20*g
Expand 0*r**4 - r**4 + 3*r**4 + 2*r**4 - 5 + 5 + (3*r**2 - 3*r**2 + r**2)*(2*r**2 - 5*r**2 + 2*r**2) + (6*r**2 + 2*r**2 - 7*r**2)*(2*r**2 + r - 2*r + 2*r).
5*r**4 + r**3
Expand (-j + 5*j - 2*j)*(-2*j + 2*j - j**3 + (-j - j + 0*j)*(-j**2 - j + j)).
2*j**4
Expand ((0*n + 2*n - 4*n)*(3 - 1 + 0) + 2*n + n - 2*n)*(2*n - 3*n - 2*n).
9*n**2
Expand 0*k**3 + 0*k**3 + 2*k**4 + (1 - 1 + k)*(-3 + 2*k**3 + 3) + k**2 - 2*k**4 - k**2 + (-5*k + 0*k + 4*k)*(5*k**3 - 3*k**3 + k**3).
-k**4
Expand (g + 1 - 1)*(-18*g + 24 - 24) + g**2 - 2 + 2.
-17*g**2
Expand (2*k + 4*k - 4*k)*(2 + 0 - 3)*(2*k**2 - 8*k**2 - 4*k**2).
20*k**3
Expand (2 - 7 - 2)*(6*l**4 + 5*l**4 - 5*l**4).
-42*l**4
Expand (m**2 + 6*m**2 + m**2)*(0*m - 3*m + 2*m).
-8*m**3
Expand 5*o**2 - 3*o**2 + 0*o**2 + (1 + 0 + 0)*(-6*o**2 - 6*o**2 + 6*o**2).
-4*o**2
Expand (2*h**2 - 2*h**2 - 6*h**2)*(-5*h - h + 5*h) - 2*h - 2*h**3 + 2*h + (-2 + 2 - 2*h)*(-2*h**2 + 2*h - 2*h).
8*h**3
Expand -2 + 3*b**2 + 2 + (0*b - b + 2*b)*(-2*b + 2*b + 2*b) - 6*b**2 - 5*b**2 + 3*b**2.
-3*b**2
Expand (-s - 64*s - 2*s - 16*s)*(2 - s - 2).
83*s**2
Expand 3*x**3 - 4*x**3 + 2*x**3 + (-x + x + x**2)*(-5*x + x + 5*x) + 5*x**3 - 3*x**3 + 0*x**3 + 2 + 0*x**3 - x**3 + 2*x**3 - x**3 + 4*x**3 - x**3.
7*x**3 + 2
Expand (-3*z**2 + 2*z**2 - z**2)*(-3 + 0 + 0) + z**2 + 0*z**2 + 0*z**2 + (1 - 1 - 2*z)*(0*z + 2*z - z) - 6*z**2 + z**2 + 3*z**2 - 2*z**2 + z**2 + 3*z**2.
5*z**2
Expand (31 + 9 - 21)*(0*t**2 - 2*t - t**2 + 0*t**2).
-19*t**2 - 38*t
Expand (4*a + 5*a + 3*a)*(-a + 0 + 0) - 2*a**2 - a**2 + 5*a**2 + (a**2 + 3*a**2 - 2*a**2)*(6 - 2 - 3).
-8*a**2
Expand (3*n + 2*n + 2*n)*(-3 - 1 + 3)*(0 + 2 - 1).
-7*n
Expand (-2*w + 4*w - w)*(-2*w**2 + 2*w - 2*w) + 1 - 8*w**3 - 1 - 9*w**2 - 8*w**3 + 9*w**2 + (0*w - w + 2*w)*(0 - 2*w**2 + 0).
-20*w**3
Expand (-4*f**2 + 4*f**2 + f**2)*(3 + 2 - 3)*(3 + 3*f**3 - 3).
6*f**5
Expand 5*v**4 + v**4 - 5*v**4 + (2 - 4 + 0)*(5*v**4 - 35 + 35) - v**2 + 2*v**4 + v**2.
-7*v**4
Expand (-2 + 2*r**2 - 3 + 0)*(-r**2 + 3*r**2 - 3*r**2) - 4*r**4 + 3*r**4 + 0*r**4.
-3*r**4 + 5*r**2
Expand -2*j**2 - 2 + 2 + (-j - 3*j + 6*j)*(2*j + 4*j - 4*j) + 0 + 2*j**2 + 0 - 1 - 84*j**2 - 80*j**2 + 176*j**2.
16*j**2 - 1
Expand (y**2 + 3*y**2 - 2*y**2)*(3 - 3 + y)*(4*y + 2 - 2 - y + y + y + (2 + 5 - 5)*(-y + y + y) + 2*y - 3 + 3 - 2 + 2 - 2*y + 5 + 2*y - 5).
18*y**4
Expand ((u - u - u)*(-u - 3*u + 2*u) - u**2 + 0*u**2 + 3*u**2)*(10*u**3 + 27*u - 27*u).
40*u**5
Expand ((2*w + 2 - 2)*(3 + 1 - 5) - w - 3*w + 3*w - 4*w + 4*w + w + 0 - w + 0)*(-8 - 4 - 3*w**2 + w**2).
6*w**3 + 36*w
Expand (2 - 2 - 2*m**2 + 1)*(0*m + 0*m - 5*m**3).
10*m**5 - 5*m**3
Expand (3*g - g**2 - 3*g)*(-3*g**2 - 2*g + 2*g) + 14*g**3 - 7*g**4 - 14*g**3.
-4*g**4
Expand -4*x**2 + 4*x**2 - 3*x**3 - 4*x**3 + 2*x**3 + 0*x**3 + (2*x**2 + 2*x**2 - 7*x**2)*(4*x - 4*x - x).
-2*x**3
Expand (-3*w + 4*w - 2*w)*(-131 + 131 + 55*w).
-55*w**2
Expand (5*m - 2*m - 2*m)*(0*m - 2*m + 8*m).
6*m**2
Expand (0 + 1 + 0)*(-4*u + u + 5*u) - 139 + 4*u + 139 + u + 0*u + 0*u - 2 + u + 2 + (-1 + 0 - 1)*(0*u + 0*u + 2*u).
4*u
Expand (2*k**3 + 4 - 4)*(k - 4*k + 2*k) - 162*k**4 + 45*k**2 + 161*k**4 + 0*k**2.
-3*k**4 + 45*k**2
Expand (-2*i - 2*i**2 - 16 + 16)*(-3*i**2 + 3*i**2 - 3*i**2).
6*i**4 + 6*i**3
Expand (d + 2*d - 2*d)*(-4*d**4 - d**4 + 3*d**4) + d**5 + 0*d**5 - 3*d**5 - 20*d**5 - 6 + 8*d**5 + 5*d**5.
-11*d**5 - 6
Expand (f - 13*f + 28*f)*(-4*f**2 + f**2 + 0*f**2).
-48*f**3
Expand 3*l**4 - l**4 + l**4 + (-2*l**3 + 0*l**2 + 0*l**2)*(4 - 2*l - 4).
7*l**4
Expand (-2 + 1 - 1)*(3*y - y + y)*(3 - 4 - 3)*(3 - 2 + 1).
48*y
Expand (-3*s**2 + 22*s**2 - 51*s**2)*(s**3 - s**3 + 4*s**3).
-128*s**5
Expand ((-3*s + s + 3*s)*(-2 + s + 2) + 3*s**2 - 3*s**2 + s**2)*(-148 + 33*s + 148).
66*s**3
Expand (2*o - 3*o + 0*o)*(9*o + 4*o**2 - 36*o + 25*o).
-4*o**3 + 2*o**2
Expand (4 - 24 + 2)*(-1 - 2*j**2 - 1 + 0*j**2).
36*j**2 + 36
Expand (2 - 2 - 2*c**2 - 5*c**2 + 3*c**2 + 0*c**2 + (-6*c + c + 3*c)*(-c + c + 2*c))*(-12 + 13 - 8).
56*c**2
Expand 1 + g - 1 + (0 - 5 + 3)*(-2*g + 4*g - g) + 2 + 3*g - 2.
2*g
Expand -2*r - 2*r + r - 3*r + 0*r + r + (3*r + r - 2*r)*(4 + 0 - 3) + r + 3*r - 2*r - 4 + 4 - 3*r.
-4*r
Expand (-6*z + 3*z - 5*z)*(1 - 2 + 3) + 12*z - 2 + 0*z - 5*z.
-9*z - 2
Expand (12 - 9 - 12)*(-r**2 + 0*r**2 - r**2).
18*r**2
Expand (-17*w + 17*w + 3 + 2*w**2)*(3*w**2 + 0 + 0).
6*w**4 + 9*w**2
Expand (-4*d**3 + 5*d**3 - 2*d**3)*(-1 + 0 + 3) - 22*d**3 + 58 - 58.
-24*d**3
Expand 3*j**5 - 4*j**5 + 2*j**5 + (-j + 3*j - 3*j)*(0*j**2 + 0*j**2 - 2*j**4) - 3*j**5 + 0*j**5 + j**5.
j**5
Expand -4*p + 3*p + 5*p + (-4 + 2 + 1)*(3*p - 2*p + 0*p) + 2*p - 2*p + 3*p.
6*p
Expand ((-2*j - 2*j + 2*j)*(0 - 2 + 0) - j + 2 - 2 - 3 + 3 + j - j + 0*j + 2*j)*(1 - 6 - 1).
-30*j
Expand ((2*b**4 - 2*b**4 - 2*b**4)*(1 + 5 - 4) + 0*b**4 + 0*b**4 - b**4)*(2 - 5 + 2).
5*b**4
Expand (-37*a + 7*a - 4*a + (-3 + 2 + 3)*(-a - a + 4*a))*(-4 + 3 - 1).
60*a
Expand ((-2*w - 2*w + 2*w)*(0*w - w + 3*w) + 0*w**2 - 4*w**2 + 2*w**2 - 2*w**2 - w**2 + 2*w**2 + (3*w - 2*w + w)*(0*w + 2*w + 0*w))*(-3*w + 0*w + 8 - 9).
9*w**3 + 3*w**2
Expand (9 - 18 + 15)*(-2*a + 3*a + 0*a).
6*a
Expand (-2*z**5 - 3*z**5 + 0*z**5)*(1 + 3 + 6).
-50*z**5
Expand ((-5*g**2 + 4*g**2 + 2*g**2)*(-g - 2 + 2) + 2*g**3 - 4*g**3 + 0*g**3)*(3*g + 3*g - 4*g).
-6*g**4
Expand 0 + 3*y**2 + 0 + (-y - 3*y + 3*y)*(3*y - 4*y + 2*y).
2*y**2
Expand (-2*v + v - v)*(3*v + 3 - v - 2)*(1 + 0 + 0).
-4*v**2 - 2*v
Expand 3*w**3 + w**2 - w**2 + (3 + 2 - 6)*(10*w**2 - 10*w**2 - 5*w**3).
8*w**3
Expand (-3*i + i + i + (-2 + 2 + i)*(-4 + 3 - 1))*(-30 + 30 - 2*i**3).
6*i**4
Expand (4 - 4 - 2*w**2)*(-36 + 36 - 15*w).
30*w**3
Expand (-2*r + 1 - 1 + (3*r + 3*r - 4*r)*(-6 + 4 + 3) + 4*r - 2*r - 3*r - 3*r + 0*r + r)*(-2 + 3 - 2)*(1 + 0 + 1).
6*r
Expand (-2 + 1 + 0)*(-3*a**3 + 5*a**3 - a**3)*(29 - 14*a - 29).
14*a**4
Expand 2*z**5 + 0*z**5 + z**5 + z**5 + 3*z**4 - 3*z**4 + (-1 + 1 - z**4)*(-5*z + 5*z - z).
5*z**5
Expand 0*r**2 + 0*r**2 - 2*r**3 + (4*r**3 - 2*r**3 - 3*r**3)*(-4 + 3 + 2) - 2*r**2 + 2*r**2 + 2*r**3.
-r**3
Expand (s**2 - s**
|
{
"pile_set_name": "DM Mathematics"
}
|
p.
-6.8
Round -0.27516854 to three decimal places.
-0.275
What is -277296.1966 rounded to the nearest one thousand?
-277000
Round -46658362 to the nearest one hundred thousand.
-46700000
Round 0.0000718014415 to 5 dps.
0.00007
What is -0.000405733176 rounded to seven decimal places?
-0.0004057
What is 308089.855 rounded to the nearest one thousand?
308000
Round 68580.6224 to the nearest ten.
68580
What is -0.00139012138 rounded to 6 dps?
-0.00139
Round 0.000023344055 to 7 dps.
0.0000233
What is -0.0000472603525 rounded to 6 dps?
-0.000047
Round -9.6451256 to 2 decimal places.
-9.65
Round 22779470200 to the nearest 1000000.
22779000000
Round 0.248882275 to 2 dps.
0.25
Round -291975.9142 to the nearest 10.
-291980
Round -0.00996427635 to five dps.
-0.00996
What is -0.01067757082 rounded to five dps?
-0.01068
What is 118011200 rounded to the nearest one million?
118000000
What is 331879.603 rounded to the nearest ten?
331880
What is 785.513127 rounded to 1 dp?
785.5
What is -37164969 rounded to the nearest one hundred thousand?
-37200000
What is 197.1930483 rounded to two decimal places?
197.19
What is 570.52 rounded to the nearest one thousand?
1000
What is -16407264820 rounded to the nearest one million?
-16407000000
What is -2778444.51 rounded to the nearest one hundred?
-2778400
What is -0.00006499998392 rounded to 7 decimal places?
-0.000065
What is 0.000247813512 rounded to 6 dps?
0.000248
Round 994469.2 to the nearest 1000000.
1000000
What is 0.03174486244 rounded to 3 dps?
0.032
What is -1021989382 rounded to the nearest ten thousand?
-1021990000
What is -3.803738427 rounded to 2 decimal places?
-3.8
What is -0.00245252208 rounded to 4 decimal places?
-0.0025
Round -0.00000042297538 to 7 decimal places.
-0.0000004
Round 40.72630334 to 3 dps.
40.726
What is 6416970640 rounded to the nearest 1000000?
6417000000
What is 124.3145886 rounded to the nearest ten?
120
What is 276303164700 rounded to the nearest 1000000?
276303000000
What is -454.940721 rounded to zero dps?
-455
What is -1086790.43 rounded to the nearest ten thousand?
-1090000
Round -2576.09192 to the nearest integer.
-2576
Round -0.001750869595 to four decimal places.
-0.0018
What is 0.1931207269 rounded to three decimal places?
0.193
What is -64267646 rounded to the nearest one hundred thousand?
-64300000
What is 3155744.48 rounded to the nearest one hundred?
3155700
What is 14.5073061 rounded to 1 decimal place?
14.5
What is 0.00569326537 rounded to 3 dps?
0.006
Round 10564759.913 to the nearest 10000.
10560000
Round 0.28633581 to 4 decimal places.
0.2863
What is 5.43637051 rounded to 3 decimal places?
5.436
Round 23.696409 to 0 decimal places.
24
What is -48.6793868 rounded to 1 dp?
-48.7
Round 946.66762 to the nearest ten.
950
Round -0.94831741 to 4 decimal places.
-0.9483
Round 16781724.1 to the nearest one thousand.
16782000
What is 0.000013841249968 rounded to 7 decimal places?
0.0000138
What is 0.000290537 rounded to 7 dps?
0.0002905
Round -1656.63359 to the nearest 100.
-1700
What is -5959348.602 rounded to the nearest 100?
-5959300
Round -8.84622848 to 2 decimal places.
-8.85
What is 0.000194321285 rounded to 6 dps?
0.000194
Round -4306488.84 to the nearest one hundred.
-4306500
What is -1876205.59 rounded to the nearest ten thousand?
-1880000
What is -37.855348 rounded to the nearest 100?
0
Round 7.033988928 to 4 decimal places.
7.034
What is 0.101726126 rounded to five dps?
0.10173
Round -361406605 to the nearest 10000.
-361410000
What is -630229.29 rounded to the nearest 10000?
-630000
Round 2833.27281 to the nearest one hundred.
2800
What is -4518466480 rounded to the nearest one hundred thousand?
-4518500000
Round -0.295236449 to 4 dps.
-0.2952
What is -0.0000174591987 rounded to 7 decimal places?
-0.0000175
Round -761.545275 to one dp.
-761.5
Round 176756.501 to the nearest ten.
176760
Round 59307.2111 to the nearest 1000.
59000
Round -22940.4218 to the nearest ten.
-22940
Round -13999039.2 to the nearest one hundred thousand.
-14000000
What is -0.0003379467 rounded to six dps?
-0.000338
Round -0.4973558512 to 2 decimal places.
-0.5
What is 0.0021750226 rounded to 3 decimal places?
0.002
Round -4522337.7 to the nearest 1000000.
-5000000
What is 0.006775536 rounded to one decimal place?
0
What is -3112.8824 rounded to the nearest 1000?
-3000
Round -2803.14159 to the nearest one thousand.
-3000
What is 1602.65514 rounded to the nearest ten?
1600
Round -3239649710 to the nearest 100000.
-3239600000
Round 208.67402433 to 3 decimal places.
208.674
What is -8282.918 rounded to the nearest ten?
-8280
Round -44604.5503 to the nearest 10.
-44600
What is 7494.48848 rounded to the nearest ten?
7490
What is 491.63651 rounded to zero decimal places?
492
Round 0.005501884786 to three dps.
0.006
What is 0.001917351785 rounded to 5 dps?
0.00192
Round 17664925744 to the nearest one hundred thousand.
17664900000
Round -1592958.3 to the nearest 1000000.
-2000000
What is -0.00640534167 rounded to seven dps?
-0.0064053
What is 0.0146748701 rounded to four decimal places?
0.0147
Round 33172640 to the nearest 100000.
33200000
What is 0.001133342309 rounded to six decimal places?
0.001133
Round 28580955.09 to the nearest one million.
29000000
What is 17515931.96 rounded to the nearest 100000?
17500000
What is -37.714678 rounded to the nearest ten?
-40
Round 0.18542317954 to two decimal places.
0.19
Round 820.63409 to the nearest 100.
800
Round 7179.829 to the nearest ten.
7180
Round 877275.5734 to the nearest 1000.
877000
Round -1100604346 to the nearest one hundred thousand.
-1100600000
Round -0.3123469663 to 3 decimal places.
-0.312
Round -165.838141 to 0 dps.
-166
What is -0.019630295 rounded to 1 dp?
0
Round 0.0061348915 to six dps.
0.006135
Round 760174.07 to the nearest one hundred.
760200
What is -46209921900 rounded to the nearest one million?
-46210000000
Round 72079.4188 to the nearest 1000.
72000
Round -480.74741 to the nearest 10.
-480
What is -0.0112039924 rounded to four decimal places?
-0.0112
What is -67.5414734 rounded to the nearest ten?
-70
Round -2830.4154 to the nearest 10.
-2830
What is 3.88401067 rounded to 3 decimal places?
3.884
What is 273.91454 rounded to the nearest integer?
274
What is 18746.388 rounded to the nearest 10?
18750
Round 6.1778498 to two dps.
6.18
Round -37287.0973 to the nearest 1000.
-37000
What is -77.646281 rounded to the nearest integer?
-78
What is 9.4269259 rounded to 0 decimal places?
9
Round -86509.644 to the nearest ten thousand.
-90000
What is -18.97211924 rounded to 1 decimal place?
-19
Round -5544395810 to the nearest 100000.
-5544400000
Round 3367218683 to the nearest 100000.
3367200000
What is -63775951.55 rounded to the nearest 100000?
-63800000
Round -0.2896801395 to three dps.
-0.29
Round 313.1504766 to 1 decimal place.
313.2
What is 14.3209667 rounded to two dps?
14.32
Round 46902669.9 to the nearest one thousand.
46903000
What is -0.000031882355 rounded to 5 decimal places?
-0.00003
What is -114307103 rounded to the nearest ten thousand?
-114310000
What is -91.21933486 rounded to two decimal places?
-91.22
What is -0.000393630818 rounded to 7 dps?
-0.0003936
What is -0.151970576 rounded to 2 dps?
-0.15
What is -0.0256153923 rounded to five decimal places?
-0.02562
Round 92.98066 to zero decimal places.
93
What is 31066.6377 rounded to the nearest ten?
31070
Round -37692343.6 to the nearest one hundred thousand.
-37700000
Round 6190798.28 to the nearest 10000.
6190000
What is -27.8694532 rounded to the nearest 10?
-30
What is -0.04819463441 rounded to six decimal places?
-0.048195
What is 0.006006746063 rounded to 3 dps?
0.006
Round -270780605 to the nearest 100000.
-270800000
What is 0.00367071159 rounded to four decimal places?
0.0037
Round -9230.4686 to the nearest ten.
-9230
What is 0.025294651 rounded to four decimal places?
0.0253
What is -0.5172258296 rounded to 5 dps?
-0.51723
Round -1.83482138 to two dps.
-1.83
What is 1223304810 rounded to the nearest one hundred thousand?
1223300000
What is 0.098656253 rounded to three decimal places?
0.099
What is 953.60617 rounded to 2 decimal places?
953.61
What is -2.64492701 rounded to 4 dps?
-2.6449
Round 5525881.8 to the nearest 1000.
5526000
What is 123.5100313 rounded t
|
{
"pile_set_name": "DM Mathematics"
}
|
3, e: 1, z: 1, l: 3, i: 2}?
2/15
What is prob of picking 2 a when two letters picked without replacement from {k: 5, a: 2}?
1/21
Two letters picked without replacement from irjddjdjjri. Give prob of picking 1 d and 1 j.
12/55
Four letters picked without replacement from everooavavoqoeeoaaee. What is prob of picking 2 a, 1 r, and 1 q?
2/1615
Four letters picked without replacement from {x: 4, v: 3}. Give prob of picking 1 v and 3 x.
12/35
Three letters picked without replacement from {g: 4, d: 2, j: 2}. What is prob of picking 2 d and 1 g?
1/14
What is prob of picking 1 k and 1 w when two letters picked without replacement from kwkwwwwww?
7/18
Four letters picked without replacement from {h: 3, y: 13}. What is prob of picking 2 h and 2 y?
9/70
Four letters picked without replacement from dtndztttonfnfnnnn. Give prob of picking 4 n.
1/68
Four letters picked without replacement from {p: 16, h: 2}. What is prob of picking 3 p and 1 h?
56/153
Three letters picked without replacement from {o: 4, z: 4, h: 10, n: 1, f: 1}. What is prob of picking 1 z and 2 h?
3/19
What is prob of picking 1 v and 1 s when two letters picked without replacement from vvvvvvpvpsvqpqvv?
1/12
Calculate prob of picking 1 k and 2 j when three letters picked without replacement from bbkbjabbjjbk.
3/110
Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {x: 1, e: 5, h: 4}.
4/9
Three letters picked without replacement from {u: 4, x: 1, i: 2, q: 3, n: 1, e: 1}. Give prob of picking 1 n, 1 q, and 1 x.
3/220
What is prob of picking 1 f and 1 u when two letters picked without replacement from uddufdfdudufduu?
6/35
Calculate prob of picking 1 o and 3 m when four letters picked without replacement from omommm.
8/15
Three letters picked without replacement from ggfgfgfgfggfffgfgff. What is prob of picking 2 g and 1 f?
120/323
What is prob of picking 1 m, 1 h, and 1 e when three letters picked without replacement from {d: 3, x: 4, e: 1, w: 3, m: 3, h: 1}?
3/455
What is prob of picking 3 m when three letters picked without replacement from ssssssmmsssmssssss?
1/816
Calculate prob of picking 3 c and 1 i when four letters picked without replacement from {c: 12, i: 6}.
22/51
Three letters picked without replacement from zzhebzbzbibeeb. Give prob of picking 1 b, 1 h, and 1 i.
5/364
Two letters picked without replacement from {e: 2, w: 5}. What is prob of picking 2 w?
10/21
Four letters picked without replacement from hffffffffffhfffh. What is prob of picking 2 h and 2 f?
9/70
Three letters picked without replacement from lll. Give prob of picking 3 l.
1
What is prob of picking 1 p and 1 m when two letters picked without replacement from {p: 2, f: 1, t: 2, m: 1}?
2/15
Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {u: 13, e: 5}.
65/153
Two letters picked without replacement from vtmkdvtvdmdovmd. What is prob of picking 1 o and 1 d?
4/105
Three letters picked without replacement from rrrxfex. Give prob of picking 1 e, 1 f, and 1 x.
2/35
What is prob of picking 2 f, 1 u, and 1 l when four letters picked without replacement from ufffffufuufffluufuuf?
88/969
Calculate prob of picking 2 b and 2 a when four letters picked without replacement from {a: 2, b: 10}.
1/11
Two letters picked without replacement from {k: 4, s: 3, f: 1, x: 5, i: 1}. Give prob of picking 2 x.
10/91
What is prob of picking 1 q and 1 e when two letters picked without replacement from beesejbjqebjbbbtbj?
4/153
What is prob of picking 4 z when four letters picked without replacement from {a: 1, z: 9, p: 1}?
21/55
What is prob of picking 1 g and 1 p when two letters picked without replacement from {h: 2, p: 1, q: 1, a: 5, y: 1, g: 10}?
1/19
Two letters picked without replacement from {w: 1, q: 2, b: 1}. Give prob of picking 2 b.
0
Calculate prob of picking 2 x when two letters picked without replacement from xtxt.
1/6
Four letters picked without replacement from {p: 2, s: 1, o: 3, r: 6, u: 6}. Give prob of picking 1 u, 1 r, and 2 o.
3/85
What is prob of picking 2 w and 1 z when three letters picked without replacement from wawz?
1/4
Two letters picked without replacement from {s: 2, d: 1, n: 1, l: 1, e: 2}. Give prob of picking 1 d and 1 n.
1/21
What is prob of picking 2 s and 1 w when three letters picked without replacement from wwwssswswwsw?
7/22
Three letters picked without replacement from xjjjgxjgjjxnn. Give prob of picking 1 j and 2 x.
9/143
Four letters picked without replacement from {v: 2, g: 8}. Give prob of picking 2 v and 2 g.
2/15
Four letters picked without replacement from wwpwwwppwrrrpwpwwpp. Give prob of picking 4 w.
21/646
What is prob of picking 1 a and 1 r when two letters picked without replacement from {i: 1, a: 1, r: 1}?
1/3
Two letters picked without replacement from mscccccgstcmcctccmt. Give prob of picking 2 t.
1/57
Two letters picked without replacement from wwwwwwsaywwsww. What is prob of picking 1 y and 1 a?
1/91
Calculate prob of picking 1 r, 1 z, and 1 y when three letters picked without replacement from {z: 1, y: 2, r: 11}.
11/182
What is prob of picking 2 u and 2 z when four letters picked without replacement from {v: 5, u: 4, z: 7}?
9/130
Three letters picked without replacement from {o: 2, k: 3, f: 1, u: 1, b: 3, v: 2}. Give prob of picking 1 o, 1 k, and 1 b.
9/110
Calculate prob of picking 1 p, 1 r, 1 d, and 1 t when four letters picked without replacement from {f: 5, v: 5, t: 1, d: 2, r: 2, p: 2}.
2/595
What is prob of picking 2 l when two letters picked without replacement from {l: 2, z: 8}?
1/45
Two letters picked without replacement from {c: 9, p: 1, m: 1, l: 2}. What is prob of picking 1 l and 1 c?
3/13
What is prob of picking 1 c and 2 e when three letters picked without replacement from rieevicccmem?
9/220
Three letters picked without replacement from {f: 4, r: 2, t: 4, b: 2, a: 2, o: 1}. What is prob of picking 1 b, 1 o, and 1 r?
4/455
Three letters picked without replacement from upgppglguggqr. What is prob of picking 1 u, 1 r, and 1 p?
3/143
Three letters picked without replacement from cxcccccccccccccccccc. What is prob of picking 2 c and 1 x?
3/20
Calculate prob of picking 2 a and 1 b when three letters picked without replacement from ppppbpoabopoppaa.
3/280
What is prob of picking 1 h, 1 f, and 1 n when three letters picked without replacement from kknafafjh?
1/42
Three letters picked without replacement from {i: 4}. Give prob of picking 3 i.
1
What is prob of picking 1 r and 1 p when two letters picked without replacement from {h: 1, p: 2, r: 1, o: 1}?
1/5
Two letters picked without replacement from {l: 4}. What is prob of picking 2 l?
1
What is prob of picking 2 i when two letters picked without replacement from iaaiaiaiaaaaiiai?
7/40
Two letters picked without replacement from kkkxxjrkkxki. Give prob of picking 1 i and 1 r.
1/66
Three letters picked without replacement from {y: 3, e: 1, p: 2, w: 1}. Give prob of picking 1 p, 1 e, and 1 w.
2/35
Calculate prob of picking 1 w, 1 y, 1 o, and 1 a when four letters picked without replacement from {q: 2, o: 1, j: 2, w: 1, a: 1, y: 2}.
1/63
Two letters picked without replacement from {x: 5, i: 1, g: 1, s: 1, p: 1}. What is prob of picking 1 g and 1 p?
1/36
Calculate prob of picking 2 v and 1 r when three letters picked without replacement from {r: 2, v: 8, o: 2}.
14/55
Two letters picked without replacement from {m: 1, o: 1, n: 1, b: 1, r: 1}. What is prob of picking 1 o and 1 m?
1/10
Calculate prob of picking 1 x and 1 a when two letters picked without replacement from aaaaaaaaaazazaaax.
7/68
Three letters picked without replacement from {j: 3, s: 3, i: 5, b: 2, x: 3, h: 3}. Give prob of picking 2 x and 1 i.
5/323
What is prob of picking 2 w when two letters picked without replacement from dwdyyywydyywdywwy?
5/68
What is prob of picking 1 x and 1 i when two letters picked without replacement from mxxixxxxxm?
7/45
Calculate prob of picking 1 w and 2 k when three letters picked without replacement from {b: 1, e: 2, w: 1, k: 2, m: 4, a: 5}.
1/455
Calculate prob of picking 2 q and 2 a when four letters picked without replacement from aqaaqaaqqa.
3/7
Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {k: 1, l: 1, g: 1, d: 1,
|
{
"pile_set_name": "DM Mathematics"
}
|
(c) 2/13
a
What is the nearest to -42 in -1/10, -579, 1?
-1/10
Which is the closest to 2180? (a) 0.6 (b) -17 (c) 3/4 (d) 0.1
c
What is the nearest to 0.1 in 366, -7, -0.07?
-0.07
What is the nearest to -0.05 in -1/3, -1, -1092?
-1/3
Which is the closest to -1? (a) -6/13 (b) -4 (c) -1 (d) -80 (e) -0.3
c
What is the closest to -2/85 in 0.052, -1/4, 0.043?
0.043
What is the nearest to -19 in -2, -161, 0.2, -0.3?
-2
What is the nearest to -2 in -2, 84.5, 0.4, 2/7?
-2
What is the closest to -1 in 0.5, -99, 1414?
0.5
What is the closest to 2 in 0, -4, 0.07, -68, -71?
0.07
Which is the closest to -3/2? (a) 0.1 (b) -22 (c) -122
a
Which is the nearest to 4? (a) -38968 (b) 1 (c) -3
b
Which is the nearest to 0.27? (a) 5 (b) 4/7 (c) 4 (d) 52 (e) -2
b
Which is the closest to -2/7? (a) -1/4 (b) -3 (c) 10 (d) -285/8
a
What is the closest to 1 in -8, 2/17, -68.45, -0.2?
2/17
What is the nearest to 0.6 in -0.4, -0.3, -4/7, 1588/5, 2/5?
2/5
Which is the closest to -3? (a) -1 (b) 2/5 (c) 3 (d) -0.1 (e) -1395
a
Which is the nearest to 64? (a) 0.4 (b) 1/4 (c) -0.4
a
Which is the closest to -2/7? (a) -0.3 (b) 0.2 (c) -34 (d) -1/3
a
Which is the nearest to 0.08? (a) 2/19 (b) 1/4 (c) -5588
a
Which is the closest to -81/4? (a) 465 (b) 5 (c) 1
c
What is the nearest to 0.0503 in -4, -0.3, 0.4, -5?
0.4
What is the closest to -1/1370 in 2/5, 0, 0.1?
0
Which is the nearest to 2/109? (a) 3 (b) -0.2 (c) -4/413 (d) -2/15
c
What is the nearest to -351 in -1, -1/5, 1, -0.5?
-1
What is the closest to -2 in 4, 0.084, -3/38, 2?
-3/38
What is the closest to -0.1 in -12, 1, 190, 1/4?
1/4
Which is the closest to 25? (a) -5 (b) 2.24 (c) -2/29
b
Which is the closest to -1/2? (a) -25 (b) 11 (c) 3 (d) 0
d
Which is the closest to -4/41? (a) -3/8 (b) -8/3 (c) 0.3
a
Which is the nearest to -5? (a) -11 (b) -4 (c) 1/9 (d) -0.5
b
What is the closest to -51/8 in 9, -4, 12?
-4
What is the closest to 6 in -11, 0, -7, 2, -58?
2
Which is the nearest to 5? (a) 90 (b) 0.5 (c) -4 (d) -3 (e) -5
b
What is the nearest to 1/4 in -2/7, 0, 119, -4, 2/7?
2/7
Which is the nearest to -0.1? (a) -9.7 (b) 2 (c) 98 (d) -4 (e) 0.3
e
What is the closest to 0 in -1/5, -4, -14/433?
-14/433
Which is the closest to -5? (a) -0.11 (b) -1/4 (c) 37 (d) -1 (e) -0.1
d
What is the nearest to 1.32 in 7.3, 32, 0.3?
0.3
What is the nearest to 2 in -12.6, 2/33, -5?
2/33
Which is the nearest to 1? (a) -2/3 (b) 3 (c) 23/21 (d) -0.4 (e) 0.04
c
What is the closest to -1 in -8, 29844, 2/7?
2/7
Which is the closest to -1? (a) -18/19 (b) -449 (c) 2/9
a
Which is the closest to 0? (a) -37 (b) -623 (c) 0.7 (d) -3/5
d
Which is the nearest to 0.2? (a) 0.5 (b) -4/5 (c) -158 (d) 0.4
d
Which is the closest to -31? (a) -2 (b) 0.4 (c) -126 (d) -0.4
a
Which is the closest to 22? (a) -12 (b) -1 (c) -3 (d) 1 (e) 0
d
Which is the nearest to -2008? (a) -0.3 (b) -2/23 (c) -1
c
What is the closest to 5 in 6, 5, 145?
5
What is the closest to 12/11 in -11.4, -5/3, 1/4, 1, -0.09?
1
Which is the nearest to 0.1? (a) -0.5 (b) -2/2271 (c) 0.2 (d) -0.07 (e) -2/9
c
Which is the nearest to 3? (a) 8 (b) 69 (c) -573
a
Which is the nearest to -101.3? (a) -5 (b) -8 (c) 1
b
Which is the closest to -86? (a) 3/5 (b) -1/5 (c) 3 (d) -5 (e) -5/3
d
Which is the nearest to 20? (a) 2 (b) 3853 (c) -3
a
What is the closest to 2/9 in 0.04, -0.4, 2/13, -36, 0.4?
2/13
Which is the nearest to 1? (a) 3 (b) 1/4 (c) 1/2 (d) 0.1 (e) 1/6
c
Which is the closest to 0.3? (a) 0 (b) 72 (c) -57
a
Which is the nearest to -36? (a) 10 (b) -2 (c) 0 (d) -1/32
b
What is the nearest to -36/7 in 5, -5, 1?
-5
What is the closest to -5764 in 3/7, -2/7, -1.1?
-1.1
Which is the closest to 0.06? (a) -910 (b) 14.3 (c) 4
c
Which is the nearest to -2.359? (a) 1 (b) -6/13 (c) -2/5
b
Which is the closest to -0.1? (a) -3/7 (b) 1 (c) -1 (d) 0.005 (e) -1/183
e
Which is the nearest to 0.01? (a) 4 (b) -856 (c) 1
c
What is the nearest to -3567 in 61, 5, -3, 0.3?
-3
Which is the closest to 46? (a) -3/5 (b) 5 (c) -5 (d) -1.1
b
Which is the nearest to 1.1? (a) -0.02 (b) -1/5 (c) -3/5
a
What is the closest to -1/3 in -0.07, 1/3, -7, -117, 1/7?
-0.07
Which is the nearest to 8? (a) -1 (b) -0.5 (c) 1/23 (d) 4
d
What is the nearest to 1 in -0.13, 23, 6, -1?
-0.13
What is the nearest to -1 in -1/23, 35/38, -4?
-1/23
What is the closest to 1/4 in 0.4, 5, 0.2, -0.6, -0.028313?
0.2
What is the nearest to -2/5 in 0.4, -721, -5, -0.1?
-0.1
Which is the closest to -2? (a) -374.3 (b) 3/4 (c) -5
b
What is the closest to 1.43 in 0, -2520, 0.5?
0.5
What is the closest to -1/4 in 4, -0.0219, -0.1, -0.2?
-0.2
What is the closest to 0 in -4/3, -0.19, -0.1, -135?
-0.1
What is the closest to 0 in 1705, 2/13, 2/9?
2/13
What is the closest to -140 in -3/19, -6/7, -3?
-3
Which is the nearest to 0? (a) 2.1 (b) 97/2 (c) -0.4 (d) 3/5
c
Which is the closest to 0? (a) -30 (b) -0.2 (c) 1293
b
Which is the closest to 5? (a) -30 (b) -3 (c) -4/65
c
What is the nearest to 0 in -0.17, 2.59, 25, -1?
-0.17
What is the closest to 0 in -5, -0.02, 0.45, -0.4?
-0.02
Which is the closest to 15/2? (a) 4 (b) -2/3 (c) 346
a
Which is the closest to 0.3? (a) -0.144 (b) 0.03 (c) 2
b
Which is the closest to -18? (a) -1 (b) -2 (c) 1/36
b
Which is the nearest to 1769? (a) -2 (b) -0.4 (c) 2/13 (d) -0.1
c
Which is the closest to 0.5? (a) 0.3 (b) -0.065 (c) -16/9
a
What is the nearest to -1 in 0.75, -1/3, 17?
-1/3
What is the closest to 5 in 0.3, 0.1, -5/141, 0.5?
0.5
What is the closest to -0.2 in -0.097, 0.1, -2, -20.1?
-0.097
What is the nearest to 1/4 in 3/2, 208, 1/12, 2/11?
2/11
Which is the nearest to 5? (a) 0.9766 (b) 3/4 (c) -0.5 (d) -2
a
What is the nearest to -1/33 in -1, 71, -0.4?
-0.4
What is the nearest to 0.1 in 2/9, -670, 1, -1?
2/9
What is the nearest to -2/3 in -2/2407, -5, -2.9?
-2/2407
What is the nearest to 2 in -124, 0.7, 4, 0.5, -1/2?
0.7
What is the nearest to -497.4 in 0.3, 2/11, -0.2, 1?
-0.2
What is the closest to 7 in 0.5, -169/8, -17, 1/9?
0.5
What is the nearest to -2 in 2/7, 1/457, -4/11, 0.4?
-4/11
Which is the nearest to 2? (a) -0.3 (b) 1.3 (c) -0.4 (d) -64
b
What is the closest to -108 in 0.01, -1, -0.01?
-1
What is the closest to 0 in -1/6, 24.1, -24?
-1/6
Which is the nearest to 1? (a) 1/110 (b) 2/5 (c) -0.78
b
What is the closest to -0.1 in -0.06, 4, -0.3, -0.001, -5?
-0.06
What is the closest to -257 in 0.2, 0.21, 0.1?
0.1
Which is the closest to -1/17? (a) 3/2 (b) 3/13 (c) 1/15
c
Which is the closest to 2/7? (a) 0 (b) -46 (c) -4
a
What is the closest to -1.1 in 172, 5, -0.5, -2/13?
-0.5
What is the closest to 1 in -79, -708, 1, -8?
1
What is the nearest to -2 in -0.31, -1/24, -3?
-3
Which is the closest to -0.1? (a) 1/34 (b) 1/5 (c) 0 (d) 7
c
Which is the closest to 0.82? (a) -4 (b) 1 (c) -2/375 (d) -3/2
b
Which is the nearest to -1/2? (a) -4 (b) -3 (c) -0.4 (d) 3/28 (e) -0.28
c
What is the closest to 2 in -1, -24, -7?
-1
Which is the nearest to 0.02? (a) 6/7 (b) 0.1 (c) -3.4 (d) 2
b
What is the nearest to -1 in -2/19, 0.8, -4/7, 1/2?
-4/7
What is the closest to 3 in -1/8, -2207, -5, 3?
3
What is the closest to -0.1 in -5, 2, 1/1201?
1/1201
What is the nearest to -3/13 in 4, -571.73, 5?
4
Which is the nearest to 2? (a) -1316 (b) 0 (c) 0.1 (d) 0.08
c
What is the closest to 0 in -1/5, 75, -2/9, 43, -5?
-1/5
Which is the closest to -3? (a) -14 (b) -28 (c) -7 (d) 4
c
Which is the closest to -5? (a) 4 (b) 46 (c) 2/61
c
Which is the closest to -2/9? (a) 2/3 (b) 0 (c) 4 (d) -5 (e) 57/10
b
Which is the nearest to 58? (a) 0 (b) -9 (c) 5 (d) 2
c
What is the nearest to 0.22 in 8, 0, -3, 2/33, -5?
2/33
What is the nearest to 0 in -0.1, 28941, 2/7, 1?
-0.1
Which is the closest to 9753? (a) 2/11 (b) 3 (c) 1 (d) 0
b
What is the nearest to -2/7 in 4, 1/119, 14, -2, 2/5?
1/119
Which is the nearest to 2/3? (a) 0 (b) -154 (c) 0.7
c
Which is the closest to -1/4895? (a) -1 (b) 0.1 (c) 0.4 (d) -0.06
d
Which is the nearest to -2/7? (a) 0.5 (b) 142 (c) 4 (d) -0.9 (e) 2/35
e
What is the closest to 4 in 0.4, -0.1, 2/25, -11, -0.3?
0.4
Which is the closest to -1? (a) 3 (b) -0.1 (c) 0 (d) -2/3 (e)
|
{
"pile_set_name": "DM Mathematics"
}
|
838, -3899?
-3*z**3 - 37*z**2 + z - 3
What is the b'th term of 16, 39, 70, 109, 156?
4*b**2 + 11*b + 1
What is the f'th term of -110, -109, -108, -107, -106?
f - 111
What is the v'th term of -66, -85, -104?
-19*v - 47
What is the m'th term of -80, -62, -22, 46, 148, 290, 478?
m**3 + 5*m**2 - 4*m - 82
What is the w'th term of 107, 217, 323, 425, 523, 617, 707?
-2*w**2 + 116*w - 7
What is the o'th term of -196, -406, -616, -826, -1036, -1246?
-210*o + 14
What is the s'th term of -12, 6, 50, 126, 240, 398, 606?
s**3 + 7*s**2 - 10*s - 10
What is the i'th term of -103, -133, -163, -193?
-30*i - 73
What is the o'th term of 39, 53, 77, 117, 179?
o**3 - o**2 + 10*o + 29
What is the c'th term of 4390, 4394, 4398?
4*c + 4386
What is the a'th term of 122, 133, 166, 233, 346, 517?
2*a**3 - a**2 + 121
What is the m'th term of 249, 253, 257, 261, 265?
4*m + 245
What is the z'th term of 1165, 2330, 3495?
1165*z
What is the h'th term of 1674, 1676, 1678, 1680, 1682?
2*h + 1672
What is the h'th term of -81, -146, -193, -222?
9*h**2 - 92*h + 2
What is the y'th term of -1659, -1650, -1639, -1626, -1611, -1594, -1575?
y**2 + 6*y - 1666
What is the j'th term of -1054, -1071, -1088?
-17*j - 1037
What is the m'th term of 9, -57, -175, -351, -591, -901, -1287?
-m**3 - 20*m**2 + m + 29
What is the y'th term of -784, -779, -772, -763, -752, -739, -724?
y**2 + 2*y - 787
What is the l'th term of 215, 302, 389, 476, 563?
87*l + 128
What is the n'th term of -2112, -2123, -2148, -2193, -2264, -2367, -2508?
-n**3 - n**2 - n - 2109
What is the w'th term of -20, -60, -126, -218?
-13*w**2 - w - 6
What is the k'th term of -74, -73, -72, -71?
k - 75
What is the z'th term of -1, 20, 61, 128, 227, 364?
z**3 + 4*z**2 + 2*z - 8
What is the p'th term of 49, 89, 131, 175?
p**2 + 37*p + 11
What is the y'th term of 10, 19, 42, 85, 154, 255, 394, 577?
y**3 + y**2 - y + 9
What is the g'th term of -235, -236, -237, -238?
-g - 234
What is the m'th term of 443, 886, 1329, 1772?
443*m
What is the o'th term of 93, 301, 521, 759, 1021, 1313, 1641, 2011?
o**3 + 201*o - 109
What is the w'th term of 8, 11, 30, 71, 140, 243?
w**3 + 2*w**2 - 10*w + 15
What is the w'th term of -23, -81, -139?
-58*w + 35
What is the h'th term of 70, 71, 64, 43, 2, -65, -164?
-h**3 + 2*h**2 + 2*h + 67
What is the q'th term of 542, 544, 546, 548, 550?
2*q + 540
What is the z'th term of -117, -230, -343, -456, -569, -682?
-113*z - 4
What is the f'th term of 3, -3, 9, 57, 159, 333, 597?
3*f**3 - 9*f**2 + 9
What is the n'th term of 98, 229, 412, 653, 958, 1333, 1784, 2317?
n**3 + 20*n**2 + 64*n + 13
What is the w'th term of 185, 181, 177, 173, 169, 165?
-4*w + 189
What is the p'th term of 207, 206, 205?
-p + 208
What is the q'th term of -9090, -9093, -9096?
-3*q - 9087
What is the b'th term of 87, 77, 65, 51, 35?
-b**2 - 7*b + 95
What is the w'th term of -6, -24, -54, -96, -150, -216?
-6*w**2
What is the n'th term of 102, 145, 188, 231, 274, 317?
43*n + 59
What is the r'th term of -141, -154, -167, -180, -193?
-13*r - 128
What is the d'th term of -35, -18, -1, 16?
17*d - 52
What is the r'th term of 61, 94, 101, 82, 37?
-13*r**2 + 72*r + 2
What is the h'th term of 226, 236, 246, 256?
10*h + 216
What is the c'th term of -969, -1907, -2835, -3747, -4637, -5499?
c**3 - c**2 - 942*c - 27
What is the g'th term of 5, 110, 287, 530, 833, 1190?
-g**3 + 42*g**2 - 14*g - 22
What is the n'th term of 69, 102, 135?
33*n + 36
What is the x'th term of 42, 85, 128?
43*x - 1
What is the t'th term of 62, 64, 66, 68, 70, 72?
2*t + 60
What is the t'th term of -89, -103, -117, -131, -145?
-14*t - 75
What is the l'th term of -103, -184, -237, -250, -211?
2*l**3 + 2*l**2 - 101*l - 6
What is the p'th term of -73, -12, 157, 488, 1035?
9*p**3 - 2*p - 80
What is the h'th term of -2596, -5191, -7788, -10387?
-h**2 - 2592*h - 3
What is the d'th term of -289, -339, -407, -499, -621, -779?
-d**3 - 3*d**2 - 34*d - 251
What is the c'th term of -383, -382, -369, -338, -283, -198, -77?
c**3 - 6*c - 378
What is the h'th term of -1087, -1086, -1085, -1084?
h - 1088
What is the q'th term of -81, -149, -201, -231, -233, -201?
q**3 + 2*q**2 - 81*q - 3
What is the c'th term of -167, -153, -125, -77, -3, 103, 247, 435?
c**3 + c**2 + 4*c - 173
What is the r'th term of -19, -46, -81, -124, -175, -234, -301?
-4*r**2 - 15*r
What is the g'th term of -9, -47, -117, -225, -377, -579, -837, -1157?
-g**3 - 10*g**2 - g + 3
What is the h'th term of 397, 418, 439, 460, 481?
21*h + 376
What is the b'th term of -98, -133, -172, -215, -262, -313?
-2*b**2 - 29*b - 67
What is the w'th term of 10, 29, 50, 73, 98, 125, 154?
w**2 + 16*w - 7
What is the k'th term of -34, -333, -826, -1507, -2370, -3409?
k**3 - 103*k**2 + 3*k + 65
What is the d'th term of -27, 62, 163, 282, 425?
d**3 + 82*d - 110
What is the f'th term of 37, 24, 9, -8, -27?
-f**2 - 10*f + 48
What is the b'th term of 1775, 3552, 5331, 7112?
b**2 + 1774*b
What is the d'th term of 34, 27, 20, 13?
-7*d + 41
What is the j'th term of 43, 173, 391, 697, 1091?
44*j**2 - 2*j + 1
What is the m'th term of -80, -87, -106, -143, -204?
-m**3 - 79
What is the u'th term of 16, 6, -16, -56, -120, -214?
-u**3 - 3*u + 20
What is the w'th term of -27, -55, -85, -117, -151, -187?
-w**2 - 25*w - 1
What is the k'th term of 256, 1014, 2276, 4042, 6312?
252*k**2 + 2*k + 2
What is the z'th term of -27, -35, -53, -87, -143?
-z**3 + z**2 - 4*z - 23
What is the r'th term of -10717, -21432, -32147, -42862, -53577, -64292?
-10715*r - 2
What is the u'th term of -28, -54, -80, -106?
-26*u - 2
What is the l'th term of -58, -114, -170, -226, -282, -338?
-56*l - 2
What is the k'th term of -538, -542, -550, -562, -578, -598, -622?
-2*k**2 + 2*k - 538
What is the p'th term of 3636, 3635, 3634, 3633, 3632, 3631?
-p + 3637
What is the u'th term of -68, -524, -1770, -4202, -8216, -14208, -22574, -33710?
-66*u**3 + u**2 + 3*u - 6
What is the t'th term of 27, 31, 33, 33?
-t**2 + 7*t + 21
What is the u'th term of 148, 296, 434, 556, 656?
-u**3 + u**2 + 152*u - 4
What is the d'th term of 977, 1948, 2919, 3890?
971*d + 6
What is the p'th term of -186, -371, -556, -741, -926, -1111?
-185*p - 1
What is the j'th term of 209, 406, 589, 752, 889, 994, 1061, 1084?
-j**3 - j**2 + 207*j + 4
What is the d'th term of -69, -47, -15, 33, 103, 201, 333, 505?
d**3 - d**2 + 18*d - 87
What is the w'th term of 56, 58, 60, 62, 64, 66?
2*w + 54
What is the u'th term of 2174, 2174, 2176, 2180, 2186?
u**2 - 3*u + 2176
What is the y'th term of 3, 23, 53, 93, 143?
5*y**2 + 5*y - 7
What is the l'th term of -3, -1, 5, 15, 29, 47?
2*l**2 - 4*l - 1
What is the q'th term of -16, -35, -54, -73?
-19*q + 3
What is the l'th term of 25, 118, 267, 466, 709, 990, 1303, 1642?
-l**3 + 34*l**2 - 2*l - 6
What is the g'th term of -106, -211, -326, -457, -610, -791?
-g**3 + g**2 - 101*g - 5
What is the d'th term of -385, -388, -393, -400, -409, -420, -433?
-d**2 - 384
What is the h'th term of -25, -37, -53, -73, -97, -125, -157?
-2*h**2 - 6*h - 17
What is the z'th term of -9, 12, 43, 78, 111, 136, 147?
-z**3 + 11*z**2 - 5*z - 14
What is the i'th term of 75, 84, 105, 144, 207, 300?
i**3 + 2*i + 72
What is the p'th term of -4585, -9170, -13755, -18340, -22925, -27510?
-4585*p
What is the m'th term of -9410, -9408, -9406?
2*m - 9412
What is the b'th term of -36, -232, -762, -1794, -3496?
-28*b**3 + b**2 - 3*b - 6
What is the u'th term of 56, 79, 116, 167, 232?
7*u**2 + 2*u + 47
What is the u'th term of -20, -145, -356, -653, -1036, -1505, -2060?
-43*u**2 + 4*u + 19
What is the f'th term of -26, -59, -118, -215, -362, -571?
-2*f**3 - f**2 - 16*f - 7
What is the x'th term of 73, 144, 215, 286?
71*x + 2
What is the i'th term of -40, -71, -98, -121, -140, -155?
2*i**2 - 37*i - 5
What is the i'th term of -1826, -1824, -1822, -1820, -1818?
2*i - 1828
What is the d'th term of 6, 11, 40, 105, 218?
2*d**3 - 9*d + 13
What is the g'th term of -73, 3, 79?
76*g - 149
What is the y'th term of 166, 337, 508, 679?
171*y - 5
What is the i'th term of -180, -371, -550, -711, -848, -955, -1026, -1055?
i**3 - 198*i + 17
What is the k'th term of -3849, -3854, -3863, -3876, -3893, -3914?
-2*k**2 + k - 3848
What is the c'th term of -30, -26, -12, 18, 70, 150, 264, 418?
c**3 - c**2 - 30
What is the w'th term of -40, -152, -332,
|
{
"pile_set_name": "DM Mathematics"
}
|
be 225/33 + (-8)/(-44). Let h = -11 - -14. What is the derivative of g*f**2 + 1 - 4*f**2 - 4*f**4 - h*f**2 wrt f?
-16*f**3
Let q(z) = 34*z - 4. Let p(j) = -4*j + 1 - 2*j + 3*j + 4*j. Let i(h) = -3*p(h) - q(h). Differentiate i(k) with respect to k.
-37
Let c(z) be the first derivative of 0*z + 4 + z**2 - 5/3*z**3. Find the second derivative of c(n) wrt n.
-10
Suppose -2*s - 2*s + 17 = o, -5*s - 5 = -4*o. Suppose -31 = -o*w + 19. Find the second derivative of -w*c**4 + 0*c + 0*c + c + 3*c**4 wrt c.
-84*c**2
Let o(j) be the first derivative of 19*j**3/3 + 14*j**2 - 90. Find the second derivative of o(w) wrt w.
38
Let w(i) be the third derivative of 0*i**4 + 11/168*i**8 + 5*i**2 + 0*i**7 + 0 + 19/60*i**5 + 0*i**3 + 0*i**6 + 0*i. What is the third derivative of w(x) wrt x?
1320*x**2
Let p(u) be the second derivative of 0*u**2 + 0*u**5 + 0*u**3 - 7/6*u**4 - 11*u + 1/10*u**6 + 0. Find the third derivative of p(l) wrt l.
72*l
Let a be (1 - -69)*2/(-4). Let q be 2/(-4) + a/(-14). What is the third derivative of 3*f + 2*f**q + 2*f**6 - 7*f + 4*f wrt f?
240*f**3
Let g(w) be the first derivative of 8*w**5/5 + 17*w**2 + 36. What is the second derivative of g(j) wrt j?
96*j**2
Suppose -3*l = l - 20. Find the second derivative of 99*y - 95*y + l*y**4 + 10*y**4 wrt y.
180*y**2
Let s(r) = -25*r + 4. Let h be s(-1). What is the second derivative of h*o**5 - 6*o + 9*o + 11*o wrt o?
580*o**3
Let o(q) = -5*q + 39. Let s be o(7). Differentiate -2 - 5 - 2*d**2 - s + 21*d**2 wrt d.
38*d
Let d = 98 + -58. Find the third derivative of -d*o**2 + 11*o**6 + 70*o**2 + 3*o**6 wrt o.
1680*o**3
Let n(y) be the second derivative of 11*y**7/42 - y**5/10 + 21*y**4/2 + 90*y. Find the third derivative of n(g) wrt g.
660*g**2 - 12
Let q(r) be the third derivative of 61*r**4/6 + 8*r**3 + 443*r**2. Find the first derivative of q(p) wrt p.
244
Let m(r) = -2*r + 3. Let b = 3 - 0. Let i be m(b). Let v(u) = -9*u**4 + 9. Let x(k) = -10*k**4 + 10. Let a(f) = i*v(f) + 2*x(f). Differentiate a(l) wrt l.
28*l**3
What is the first derivative of 40 - 48*j + 41 - 23 wrt j?
-48
Let k(l) = 2*l**4 + 11*l**3 + 80*l - 5. Let i(p) = -p**4 + 2*p + 1. Let r(z) = -4*i(z) - k(z). What is the second derivative of r(b) wrt b?
24*b**2 - 66*b
Let s(b) be the second derivative of 4*b + 0*b**5 - 9/4*b**4 + 0 + 0*b**2 + 0*b**6 + 0*b**7 + 0*b**3 - 3/14*b**8. Find the third derivative of s(z) wrt z.
-1440*z**3
Let g(x) be the third derivative of x**5/15 - x**4/12 - 19*x**2. Let j(s) = 2*s**2 - s. Let t(q) = -2*g(q) + 5*j(q). Find the second derivative of t(a) wrt a.
4
Let g(w) be the second derivative of -21*w + 0 + 0*w**2 + 0*w**6 + 1/6*w**3 + 0*w**5 - 17/21*w**7 + 0*w**4. What is the second derivative of g(p) wrt p?
-680*p**3
Let a = 179 - 177. Let w(g) be the third derivative of 0*g - 4*g**a + 0*g**3 + 1/8*g**4 + 1/15*g**5 + 0. What is the second derivative of w(r) wrt r?
8
Let f(w) = 0*w + w - 2*w + 0 + 11. Let r be f(8). What is the derivative of 0*g**3 + 2*g**3 + g**3 - 12 - 4*g**r wrt g?
-3*g**2
Let p(z) = -2*z**2 - 12*z - 60. Let b(a) = -6*a - 30. Let o(u) = 7*b(u) - 3*p(u). Find the first derivative of o(d) wrt d.
12*d - 6
What is the second derivative of 266*i**4 - 81*i**4 + 252*i + 188*i**4 + 326*i**4 + 102*i wrt i?
8388*i**2
Differentiate 9*x + 47 - 2*x**3 + 60 + 109 + 46 wrt x.
-6*x**2 + 9
Let w(g) = -106*g**4 - 2*g**2 - 3*g - 1. Let r(b) = -212*b**4 - 5*b**2 - 8*b - 3. Let z(n) = -2*r(n) + 5*w(n). What is the second derivative of z(l) wrt l?
-1272*l**2
Let j(w) = -232*w**4 + 2*w**3 - 3*w**2 - 2*w - 2. Let f(o) = o**4 - o**3 + o**2 + o - 1. Let s(y) = -2*f(y) - j(y). Find the third derivative of s(i) wrt i.
5520*i
Let x(l) be the first derivative of -148*l**6/3 - 5*l**2/2 + l - 216. What is the second derivative of x(c) wrt c?
-5920*c**3
Suppose 3*f + 6 = 15. Let m be (0 - 2)/2 - -3. What is the third derivative of m*a**2 + f*a**2 - 3*a**2 + 2*a**2 + 2*a**3 wrt a?
12
Find the third derivative of -67*v**5 + 188*v**2 + 7*v**5 - 1 - 21*v**5 - 34*v**5 - 29*v**5 wrt v.
-8640*v**2
Let n(y) be the first derivative of 52*y**6/3 - y**5 + 599*y**2/2 + 914. Find the second derivative of n(v) wrt v.
2080*v**3 - 60*v**2
Let n(d) be the first derivative of 0*d**2 - 25 - d - 2/3*d**3. Differentiate n(p) with respect to p.
-4*p
Let p = -8784 + 14089. What is the third derivative of 5305*h + 37*h**2 - p*h - 31*h**5 wrt h?
-1860*h**2
Suppose 3*c - 13 = 2. Find the third derivative of 1 + c*j**2 + 79*j**3 - 2 - 72*j**3 wrt j.
42
Find the first derivative of 45*t - 37432 - 123*t + 37337 wrt t.
-78
Let x(l) be the third derivative of -23*l**6/40 + l**5/60 - 17*l**4/24 - 40*l**2. Find the third derivative of x(q) wrt q.
-414
Let g be ((-9)/(-12) - -3) + 4/16. What is the third derivative of 8*d**4 - 5*d**2 - 4*d**4 - 4*d**g + 12*d**6 wrt d?
1440*d**3
What is the second derivative of 78*d**2 - 29*d**2 - 6 - 651*d**4 + 28*d - 29*d**2 - 20*d**2 wrt d?
-7812*d**2
Suppose v = -3*g + 153 + 624, 6 = 2*v. Find the second derivative of -g*y**5 - 9*y - 3*y + 268*y**5 wrt y.
200*y**3
Let b be 4/8 + (-2)/4. Suppose b*n = -4*n + 48. What is the second derivative of -n*t**4 + 3*t**2 - 9*t**2 - 10*t + 6*t**2 wrt t?
-144*t**2
Let x(q) be the third derivative of -7*q**6/120 + 31*q**4/24 + 69*q**3 - 3*q**2 - 41*q. Find the first derivative of x(i) wrt i.
-21*i**2 + 31
Let f(w) = 6*w**3 + 245*w**2 + 19*w + 528. Let x(k) = k**3 + 40*k**2 + 3*k + 88. Let b(s) = -6*f(s) + 38*x(s). Differentiate b(o) with respect to o.
6*o**2 + 100*o
Suppose 0 = 3*s + t - 7, -5*s + 5*t + 45 = -0*s. What is the derivative of -19*x**s + 14*x**4 - 11 + 1 + 6*x**4 wrt x?
4*x**3
What is the third derivative of -43*u**2 + 32*u**5 + 49*u**5 - 15*u**2 wrt u?
4860*u**2
Let q(h) be the second derivative of -h**8/3360 + h**7/840 - 7*h**4/12 - 5*h. Let t(p) be the third derivative of q(p). Find the third derivative of t(o) wrt o.
-12
Let i be (-9 - -9) + 4*-1. Let b(c) = 2*c + 13. Let d be b(i). What is the third derivative of -g**5 - 2*g + 2*g + 6*g**2 + 13*g**d wrt g?
720*g**2
Let n(d) be the second derivative of -809*d**5/20 + 51*d**4/4 - d**2 - 77*d + 5. What is the third derivative of n(f) wrt f?
-4854
Differentiate -60*p**3 - 107*p**4 + 121 + 29*p**3 + 31*p**3 with respect to p.
-428*p**3
Let t(k) = k**3 - 2*k**2 - 7*k + 7. Let i be t(4). Find the third derivative of -30*c**2 - 72 + 72 - i*c**4 wrt c.
-264*c
Let g(y) = -2*y**2 + 7*y - 1. Let r(v) = -609*v**3 - 8*v**2 + 28*v - 483. Let p(j) = 4*g(j) - r(j). Find the first derivative of p(w) wrt w.
1827*w**2
Let p = 119 - 93. What is the third derivative of 37*w**2 + 6*w**3 + p*w**4 - 1 - 13*w**4 - 14*w**4 wrt w?
-24*w + 36
Let z(i) = i**3 + 15*i**2 + 12*i - 13. Let p be z(-14). Find the third derivative of -29*b**2 + b - b - p*b**4 - 12*b**2 wrt b.
-360*b
Let q(j) = -13*j**2 + 9*j - 349. Let f(s) = 5*s**2 - 4*s + 175. Let g(i) = 5*f(i) + 2*q(i). Differentiate g(r) wrt r.
-2*r - 2
Let v = 119 + 14. Let u be v/2 - (-2)/4. What is the first derivative of 3*s**3 - 5 - 67*s + u*s wrt s?
9*s**2
Suppose -2 + 0 = -u. Let q = u - -3. Find the second derivative of -o - o - 4*o**5 + 5*o**q - 2*o wrt o.
20*o**3
Find the second derivative of -1947*u**2 + 220*u + 144*u**4 + 1947*u**2 - 551*u**4 wrt u.
-4884*u**2
What is the derivative of 4*q - 43*q**2 - 211 - 7*q - 2*q**3 + 3*q + 86 wrt q?
-6*q**2 - 86*q
Let g(f) = f - 1. Suppose 0*d + 5*m = 5*d - 10, 3*m = 6. Let x(l) = -d*l + 0 - 3 + 2. Let k(c) = 4*g(c) - x(c). What is the derivative of k(q) wrt q?
8
Let p be 22/88 + 11/4. Let a(n) be the third derivative of 0 + 0*n + 0*n**4 - 4*n**2 - 1/12*n**5 + 1/3*n**p. Differentiate a(r) wrt r.
-10*r
Let l(j) be the second derivative of -5/4*j**5 + 0 + 0*j**3 + 20*j + 1/2*j**2 + 0*j**4. What is the first derivative of l(h) wrt h?
-75*h**2
Suppose -a = 3*a + 12, -4*q + 4*a = 0. Let y be 1*0*q/9. What is the second derivative of -r + 4*r**3 + r**3 - 2*r**3 + y*r wrt r?
18*r
Let c(g) be the second derivative of -39*g**5/10 - 43*g**4/12 - g**3/3 + 17*g + 3. Find the third derivative of c(z) wrt z.
-468
Let j(b) = -b + 6. Let t be j(0). Let h be 12 - ((-15)/10 + 1)*-6. Find the third derivative of -2*a**t + 2*a**6 + 4*a**2 + h*a**6 wrt a.
1080*a**3
Find the second derivative of -82*y + 5*y**2 - 4*y**2 + 13*y**4 + 3*y**4 - 1 - 6*y**4 wrt y.
12
|
{
"pile_set_name": "DM Mathematics"
}
|
decades are there in 7/2 of a century?
35
Convert 902.197 weeks to minutes.
9094145.76
How many millilitres are there in seven halves of a litre?
3500
How many decades are there in 185.5886 centuries?
1855.886
What is 210362.5 micrometers in centimeters?
21.03625
What is 385.6198g in tonnes?
0.0003856198
How many decades are there in 2368368.3 months?
19736.4025
How many grams are there in 123.8033ng?
0.0000001238033
How many millimeters are there in one tenth of a meter?
100
What is 59.59186 millennia in centuries?
595.9186
What is 50.00637 months in millennia?
0.0041671975
How many months are there in ten thirds of a decade?
400
What is 7.958927 centuries in millennia?
0.7958927
What is 9940.668 millilitres in litres?
9.940668
Convert 92671.77 nanometers to meters.
0.00009267177
What is 3/5 of a century in years?
60
What is 7/18 of a week in minutes?
3920
What is 3/10 of a litre in millilitres?
300
How many months are there in seven quarters of a millennium?
21000
What is 3/50 of a microgram in nanograms?
60
How many millilitres are there in 6/25 of a litre?
240
How many litres are there in 0.3129168ml?
0.0003129168
What is 55/4 of a millennium in decades?
1375
What is nineteen quarters of a day in hours?
114
What is 23467.84 centimeters in micrometers?
234678400
What is 1/27 of a day in seconds?
3200
How many millimeters are there in 3/50 of a kilometer?
60000
Convert 26339.48 meters to nanometers.
26339480000000
What is 66781.09 nanograms in grams?
0.00006678109
How many centimeters are there in one fifth of a kilometer?
20000
What is three tenths of a litre in millilitres?
300
What is 6/25 of a milligram in micrograms?
240
How many millimeters are there in seven halves of a meter?
3500
How many micrometers are there in 23.31058 meters?
23310580
How many grams are there in 7/8 of a kilogram?
875
What is 1/5 of a litre in millilitres?
200
What is 53934180.3 minutes in weeks?
5350.613125
What is seven sixteenths of a century in months?
525
How many millennia are there in 0.8043577 centuries?
0.08043577
What is 49/5 of a kilogram in grams?
9800
What is 468.1275 days in milliseconds?
40446216000
How many years are there in fifty-five halves of a millennium?
27500
How many micrometers are there in 67.05064 meters?
67050640
How many kilograms are there in 0.528659ng?
0.000000000000528659
What is 0.628653ng in milligrams?
0.000000628653
Convert 178478.9nm to centimeters.
0.01784789
Convert 319722.5 kilograms to tonnes.
319.7225
What is 45057.24mm in centimeters?
4505.724
What is 10.354842 seconds in minutes?
0.1725807
How many centuries are there in 7/2 of a millennium?
35
How many tonnes are there in 328.1128 kilograms?
0.3281128
Convert 8969.344 litres to millilitres.
8969344
How many years are there in 3/5 of a millennium?
600
How many micrometers are there in 0.8660554nm?
0.0008660554
Convert 75501.72 millilitres to litres.
75.50172
How many grams are there in 36.3188 nanograms?
0.0000000363188
How many centuries are there in 2.3045 millennia?
23.045
How many milligrams are there in 3/8 of a gram?
375
What is three tenths of a litre in millilitres?
300
What is 3/25 of a microgram in nanograms?
120
What is 968.182g in milligrams?
968182
What is 1/5 of a week in minutes?
2016
How many years are there in nine tenths of a millennium?
900
How many hours are there in 0.40618 days?
9.74832
What is 178552.9 millilitres in litres?
178.5529
What is 4.331403 kilometers in micrometers?
4331403000
What is seventy-one quarters of a century in months?
21300
What is 0.1255989 weeks in nanoseconds?
75962214720000
What is 7069.457 hours in seconds?
25450045.2
Convert 487.883 millennia to months.
5854596
What is one fifth of a kilometer in centimeters?
20000
How many kilograms are there in 3023.15 milligrams?
0.00302315
What is eighteen fifths of a millennium in months?
43200
Convert 292.971 meters to millimeters.
292971
How many years are there in three tenths of a millennium?
300
How many millilitres are there in 8.494776 litres?
8494.776
Convert 9.84027 millennia to years.
9840.27
How many microseconds are there in 558377.1 milliseconds?
558377100
What is 5.221312 nanoseconds in microseconds?
0.005221312
How many nanometers are there in eighteen fifths of a micrometer?
3600
How many nanometers are there in 3/50 of a millimeter?
60000
What is sixty-nine halves of a decade in years?
345
How many months are there in 56.89668 millennia?
682760.16
How many hours are there in 43749.855 seconds?
12.1527375
How many micrometers are there in three tenths of a millimeter?
300
How many grams are there in 47/4 of a kilogram?
11750
How many millimeters are there in 112.6945 nanometers?
0.0001126945
How many micrometers are there in 6/5 of a millimeter?
1200
How many millimeters are there in eleven halves of a centimeter?
55
What is 6.777241kg in milligrams?
6777241
How many micrometers are there in 1/5 of a centimeter?
2000
How many grams are there in 92.91049ng?
0.00000009291049
What is 8/21 of a week in minutes?
3840
How many milligrams are there in 0.491056g?
491.056
How many months are there in 4/15 of a decade?
32
What is one fifth of a millennium in months?
2400
Convert 0.6382085 milligrams to kilograms.
0.0000006382085
How many months are there in 5.997611 decades?
719.71332
How many centuries are there in 42/5 of a millennium?
84
How many millilitres are there in 49/5 of a litre?
9800
How many millilitres are there in eleven halves of a litre?
5500
What is twenty-one eighths of a millimeter in micrometers?
2625
What is 5236.556um in kilometers?
0.000005236556
How many hours are there in 546.53346us?
0.00000015181485
What is sixty-seven quarters of a minute in seconds?
1005
Convert 2.7404262 months to decades.
0.022836885
What is eleven quarters of a litre in millilitres?
2750
What is sixty-three eighths of a litre in millilitres?
7875
How many micrometers are there in 846.2643 millimeters?
846264.3
How many weeks are there in 43.4032578 minutes?
0.00430587875
Convert 8092.588mg to nanograms.
8092588000
Convert 2230278.6s to minutes.
37171.31
What is 0.3873827 centimeters in meters?
0.003873827
Convert 2146.1 days to seconds.
185423040
How many millilitres are there in 7/4 of a litre?
1750
What is one quarter of a tonne in kilograms?
250
What is 90274.6 meters in millimeters?
90274600
How many nanometers are there in 0.1291495 millimeters?
129149.5
Convert 34.45602 millilitres to litres.
0.03445602
Convert 7.977175 millimeters to nanometers.
7977175
Convert 6.849198kg to micrograms.
6849198000
What is 0.0554117mg in tonnes?
0.0000000000554117
How many hours are there in 45/4 of a week?
1890
What is 8.395384 grams in kilograms?
0.008395384
How many kilograms are there in thirty-three fifths of a tonne?
6600
How many microseconds are there in 837.908 minutes?
50274480000
What is 0.3897229km in micrometers?
389722900
What is 6.75729t in kilograms?
6757.29
Convert 951390.1 minutes to nanoseconds.
57083406000000000
What is eleven eighths of a gram in milligrams?
1375
Convert 694.6851t to kilograms.
694685.1
What is one tenth of a litre in millilitres?
100
How many kilograms are there in 0.3891076 grams?
0.0003891076
What is 583.82 litres in millilitres?
583820
How many millilitres are there in twenty-one halves of a litre?
10500
How many tonnes are there in 1423.449kg?
1.423449
How many minutes are there in twenty-one eighths of a day?
3780
What is 0.2073618 months in years?
0.01728015
Convert 0.7242206ml to litres.
0.0007242206
What is seventeen halves of a kilogram in grams?
8500
What is 59143.42 millilitres in litres?
59.14342
What is 99008.05 weeks in milliseconds?
59880068640000
What is 102.4194 kilograms in tonnes?
0.1024194
Convert 504.0642l to millilitres.
504064.2
How many nanograms are there in 1/5 of a microgram?
200
What is six fifths of a millennium in years?
1200
How many kilograms are there in 39.13416t?
39134.16
How many millennia are there in 7257.576 years?
7.257576
Convert 689.282 millennia to months.
8271384
How many grams are there in twenty-one quarters of a kilogram?
5250
What is one twentieth of a millisecond in nanoseconds?
50000
What is 52731.8 seconds in milliseconds?
52731800
Convert 6.300739 minutes to seconds.
378.04434
How many mill
|
{
"pile_set_name": "DM Mathematics"
}
|
units digit of t?
7
Let z be (777/(-6))/((-6)/(48/4)). Suppose 0 = -z*m + 264*m - 380. What is the units digit of m?
6
Let n(p) = -p**3 + 13*p**2 - 18*p - 15. Let r be n(11). Suppose -r = x - 322. What is the hundreds digit of x?
2
Let k(l) be the first derivative of -l**4/24 + 5*l**3/3 - 39*l**2/2 - 5. Let q(u) be the second derivative of k(u). What is the units digit of q(6)?
4
Let v(s) = 2*s**3 + 17*s**2 - 8*s + 7. Let z be v(-11). Let d = 989 + z. What is the units digit of d?
9
What is the hundreds digit of (3016696/174)/(20/15)?
0
Suppose -1106 = 2*d + 4*c - 14330, 3*d - 3*c - 19845 = 0. What is the tens digit of d?
1
Suppose 0 = 3*h + 3*s - 1263, 2*h + 3*s + 441 = 3*h. Let d = 672 - h. Suppose d = 6*z - 684. What is the units digit of z?
5
Suppose -32*g = -1181233 + 44497. What is the units digit of g?
3
Let k(s) = -173*s + 46. Suppose 29*l + 32 = 25*l. Let j be k(l). Suppose 0*b + j = 11*b. What is the tens digit of b?
3
Let s be (-14 - -15)/((-1)/32). Let x = -29 - s. What is the hundreds digit of (10/x)/(3 + (-935)/315)?
1
Let y = 258 + -254. What is the hundreds digit of (-7 - 446/y)*16/(-3)?
6
Suppose -6*i - 6 = -9*i, -4*t = i - 4474. What is the hundreds digit of t?
1
Let w(n) be the first derivative of -11*n**4 - n**3 - 3*n**2/2 - 5*n - 73. What is the tens digit of w(-2)?
4
Let o be (-147)/4 - ((-42)/24)/(-7). Let w = -35 - o. Let t(b) = 51*b + 7. What is the units digit of t(w)?
9
Suppose 0 = 79*r - 87624 - 3173970. What is the tens digit of r?
8
Suppose -5*u = -2*y - 53158, -35*u + 33*u + 21269 = 5*y. What is the ten thousands digit of u?
1
Suppose -78*j - 62*j + 293179 = -49961. What is the tens digit of j?
5
Let b be ((-5440)/(-256))/((-1)/(-4*17)). Suppose 0 = -b*r + 1447*r - 144. What is the units digit of r?
2
Let x = -1486 + 2740. What is the units digit of x?
4
Suppose 124*p = 12*p + 13*p + 552024. What is the hundreds digit of p?
5
Let g = -58 + 69. Suppose -56 + g = -9*h. Suppose -h*b - 171 + 726 = 0. What is the hundreds digit of b?
1
Let s(q) be the second derivative of 67*q**4/4 + 7*q**3/3 - q**2/2 + 154*q + 1. What is the hundreds digit of s(3)?
8
Let q(w) = -w**2 - 42*w - 17. What is the tens digit of q(-33)?
8
Let a(l) = -289*l**3 + 4*l + 3. Suppose 2*k = -2*r + 6, 2*r = -2*r + 16. What is the tens digit of a(k)?
8
Let z = -18 - -658. Let m = z + -46. What is the hundreds digit of m?
5
What is the thousands digit of (-34)/119 + 180440/28?
6
Suppose 3*d = 15*d - 72. What is the units digit of (-15)/d*43*(4 - 10)?
5
Suppose -59*z + 39*z = 36*z - 852992. What is the tens digit of z?
3
Let r be 2/(36/15 - 2). Suppose r = -5*n, 5*v + 4*n + 344 = -0*v. Let x = v + 193. What is the tens digit of x?
2
Let x = -67892 + 99810. What is the tens digit of x?
1
Let t(y) be the third derivative of -y**6/120 + y**5/3 + 3*y**4/4 - 49*y**3/6 - 34*y**2. What is the tens digit of t(20)?
1
Let j = -41 + 151. Let f = 29 + -37. Let c = f + j. What is the tens digit of c?
0
Suppose -3*i + 229 = -5*r - 306, 0 = 3*i + r - 559. What is the units digit of i - (-1 - -1) - 4?
1
Let u(g) = g**3 + 2*g**2 + 5*g + 4. Let l be u(-1). Suppose 50*q - 47*q - 999 = l. What is the hundreds digit of q?
3
Suppose -157949 = 76077*z - 76088*z. What is the units digit of z?
9
Suppose 16871 = 8*w + 5863. What is the tens digit of w?
7
Suppose x = 5*t - 16, t + 4 = -3*x + 20. Suppose 4*h - 4 = x*c, -20 = -h - 4*h. What is the units digit of -2 - (-143 + c)/5?
6
Let n(h) = -5*h - 11. Let j be n(-3). Suppose -a = -6 + j, 3*l + a = 2108. Suppose -5*o + l - 192 = 0. What is the tens digit of o?
0
What is the hundreds digit of 183231/24 + 225/600?
6
Suppose -2*p + 80*a - 75*a = -150, -4 = a. Let l = 40 - -126. Let w = l - p. What is the hundreds digit of w?
1
Let r(p) = 4*p + 29. Let a be r(-7). Let z(o) = -26*o - 1. Let y be z(a). Let t = 37 + y. What is the units digit of t?
0
Let i be -5 + 46164/(-24)*(0 + -2). Suppose 7*l = i + 274. What is the units digit of l?
8
Let p(t) = -72*t**2 + 39*t**2 + t**3 - 26*t + 3*t - 26. What is the units digit of p(34)?
8
Suppose -23*l + 24*l - 17196 = -5*o, 3*o + 5*l = 10344. What is the tens digit of o?
3
Let y(v) = 5*v**3 - 281*v**2 - 71*v - 147. What is the tens digit of y(58)?
1
Suppose r + 1 = -3*v, 2*v + 3*r = -0*r - 3. Suppose v = 3*c + 206 - 1091. What is the hundreds digit of c?
2
Suppose 66*d = 43*d - 92. What is the units digit of d/(-2)*(673 + -4 + -10)?
8
Suppose 4*z + 3444 = 4*g - 0*g, -3*z = 4*g - 3458. Let h = -568 + g. What is the hundreds digit of h?
2
Let b be ((-6)/(-12))/((-4)/(-40)). Suppose -2*q + 59 = 5*v - 347, v + 1069 = b*q. What is the units digit of (((-110)/15)/11)/((-1)/q)?
2
Let i be 2/16 - 27761/136. Let b = i - -330. What is the units digit of b?
6
Let m = -292 + 306. What is the tens digit of m/(-3)*(2 - 113)?
1
Let m = -1241 - -2173. What is the units digit of m?
2
Let u be -2 - -2 - 6/9*3. Let g be (-1)/4*u + 39/2. Let n = -10 + g. What is the tens digit of n?
1
Let u = 25627 - 17732. What is the hundreds digit of u?
8
Let w = 62 - 37. Suppose 123*l - w = 118*l. Suppose 5*a = -3*r + 166, r - 42 = -0*r - l*a. What is the units digit of r?
2
Let m(b) be the third derivative of -b**5/60 + 13*b**4/6 - 64*b**3/3 + 13*b**2 + b. What is the hundreds digit of m(38)?
4
Let p(x) = 0*x**3 - 7*x - 5 - 4*x - 181*x**2 - x**3 + 170*x**2. Let c be p(-7). Let t = c - -263. What is the tens digit of t?
3
Let g be 4/(-34) + (-6200)/1054. Let n(l) = -169*l + 123. What is the thousands digit of n(g)?
1
Suppose -k = -2*x + 1917 - 539, 4*k = 3*x - 2057. Let v = x - -986. What is the thousands digit of v?
1
What is the thousands digit of ((-8)/(-2))/((2/2135)/((-77)/(-35)))?
9
Let a(y) = -6*y + 3*y + 7*y - 15 + y. Let p be a(5). Let h(f) = f**2 + 2*f + 9. What is the tens digit of h(p)?
2
Suppose -252*t + 262*t - 1529 = 2201. What is the units digit of t?
3
Suppose 4388 = 2*p + 3*h - 5660, -5*h = 5*p - 25140. What is the thousands digit of p?
5
Suppose -17*y + 105 + 82 = 0. Suppose y*x - 12*x + 120 = 0. What is the tens digit of x?
2
Let q = 751 + 2925. Suppose -63*s + 68*s = 5*y - 3700, -s + q = 5*y. What is the units digit of y?
6
Let u = 35045 - 23825. What is the hundreds digit of u?
2
Suppose -8*a + 16 = -0. Suppose -a*f = w + 5, 3*f - w - 2*w = 15. Suppose -5*j + 179 + 56 = f. What is the tens digit of j?
4
Let g(k) be the first derivative of k**4/4 - 14*k**3/3 - 13*k**2/2 - 13*k - 169. What is the tens digit of g(15)?
1
Suppose 3*c - 38286 - 92979 = 4*g, -g = 2*c - 87521. What is the ten thousands digit of c?
4
Suppose 0 = -11*v + 8*v + 9, -2*v = -4*b - 10. What is the units digit of (416/(-24))/(b/39)?
6
Let j(v) = -861*v - 14. Let k be j(-3). Suppose 13*h + k = 7223. What is the tens digit of h?
5
Let c = -60647 + 86314. What is the ten thousands digit of c?
2
What is the thousands digit of 449/1347 - 188512/(-6)?
1
Suppose 77*k - 338306 = 394118. What is the units digit of k?
2
Let n be (-5 - -6)*(-3 + 3)/3. Let v(f) be the first derivative of f**4/4 - f**2 + 20*f + 1. What is the tens digit of v(n)?
2
Let g = -1615 + 2376. What is the units digit of (g*(3 - 2))/((-14)/(-14))?
1
Suppose 24*n = 14*n + 74140. What is the units digit of n?
4
Suppose -3*p + 3*h + 2922 = -4977, -3*p - 9*h + 7851 = 0. What is the hundreds digit of p?
6
Let d = -128 + 133. Suppose 3*a - 15 = -3*h, h - 2*a - 11 = -d*a. Suppose 4*i = -z + 381 + 513, 0 = z - h. What is the units digit of i?
3
Let j be 5/((-10)/(-12)) - -3. Suppose 0 = j*w - 100 - 17. Suppose w*t = 17*t - 444. What is the units digit of t?
1
Let n = 344 + -336. Suppose -457 = -n*g + 239. What is the units digit of g?
7
Suppose -416 = w - 1042. Suppose 947 - 7 = 2*j. Suppose -8*g + w = -j. What is the tens digit of g?
3
Let u = 11660 - -18598. What is the units digit of u?
8
Let l = 1273 + -798. Suppose -4*h = -481 - l. Suppose 17*u - h = 2498. What is the units digit of u?
1
What is the tens digit of -194*(9 - (-7405)/(-30)) + (-2)/3?
3
What is the hundreds digit of ((30/20 + -4)/5)/((-2)/1284)?
3
Let y = 64 - 35. Suppose -16 = 4*z, -3*k + 2*z + y = -3*z. Suppose -5*c + 46 = 2*i, -28 = -i + k*c + 17. What is the tens digit of i?
3
Suppose 163 - 159 = -2*q, 5*s - 4*q = 42748. What is the thousands digit of s?
8
Suppose -1028015 - 1007599 = -42*l. What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
0
What is 2215775 rounded to the nearest 10000?
2220000
What is -1.8784661 rounded to 3 dps?
-1.878
Round 25192300 to the nearest 1000000.
25000000
What is 110401.74 rounded to the nearest 100?
110400
Round 0.000154142 to 7 dps.
0.0001541
Round -0.137007 to one decimal place.
-0.1
What is 467503 rounded to the nearest one million?
0
What is -0.00000133384 rounded to 6 decimal places?
-0.000001
What is 0.02012546 rounded to three decimal places?
0.02
What is -8878995 rounded to the nearest 100000?
-8900000
What is 0.00002524109 rounded to five dps?
0.00003
What is -5281700 rounded to the nearest 1000000?
-5000000
What is 6332080 rounded to the nearest one hundred thousand?
6300000
Round -42.389 to the nearest ten.
-40
What is -0.0013362 rounded to 4 decimal places?
-0.0013
Round -2384.39 to the nearest 10.
-2380
What is 115.326 rounded to the nearest 10?
120
Round 0.1068376 to three decimal places.
0.107
What is 4478.425 rounded to the nearest integer?
4478
Round -0.00036259565 to 5 dps.
-0.00036
Round 371687 to the nearest 1000.
372000
Round 0.00000257553 to 7 dps.
0.0000026
Round 2236000 to the nearest 100000.
2200000
Round 0.000373829 to five dps.
0.00037
Round -0.883923 to three decimal places.
-0.884
What is 7401.064 rounded to the nearest one hundred?
7400
What is -0.00001092909 rounded to 7 decimal places?
-0.0000109
Round -0.43745652 to two decimal places.
-0.44
Round 123527670 to the nearest 1000000.
124000000
What is -42326.31 rounded to the nearest 100?
-42300
Round -0.0001466262 to six decimal places.
-0.000147
Round -0.0000010170001 to seven dps.
-0.000001
Round -0.0000275131 to 7 dps.
-0.0000275
What is -0.0000306736 rounded to 7 dps?
-0.0000307
What is -21099.95 rounded to the nearest 10?
-21100
What is 0.00002895532 rounded to 6 dps?
0.000029
Round 1270.5 to the nearest ten thousand.
0
Round 838620 to the nearest 100000.
800000
What is 0.00000262484 rounded to seven decimal places?
0.0000026
Round 0.000131397 to four decimal places.
0.0001
What is 0.395065 rounded to 2 decimal places?
0.4
Round -1700.4242 to the nearest 100.
-1700
What is -0.642484 rounded to 3 dps?
-0.642
Round -6494.195 to the nearest one thousand.
-6000
Round 4849.51 to the nearest 10.
4850
What is 11228266 rounded to the nearest one thousand?
11228000
Round 0.020739579 to 3 decimal places.
0.021
What is 18.78363 rounded to the nearest integer?
19
Round -0.03404859 to 3 decimal places.
-0.034
Round 0.000001292305 to 7 decimal places.
0.0000013
Round 1620638 to the nearest 100000.
1600000
Round 107461.2 to the nearest 1000.
107000
What is 16.4585 rounded to one dp?
16.5
What is -0.06814042 rounded to three decimal places?
-0.068
What is 2239.463 rounded to the nearest 100?
2200
What is 369.302 rounded to the nearest 10?
370
Round -0.000000629775 to seven decimal places.
-0.0000006
What is 4.613713 rounded to 3 dps?
4.614
Round 0.13726 to two decimal places.
0.14
What is 2075330 rounded to the nearest 1000000?
2000000
Round 0.0000014312606 to seven decimal places.
0.0000014
Round 0.00012270641 to seven decimal places.
0.0001227
What is 1156975 rounded to the nearest 100000?
1200000
Round 460224 to the nearest one hundred thousand.
500000
Round 0.000710351 to 6 dps.
0.00071
Round -4426320 to the nearest one million.
-4000000
What is 0.0004194744 rounded to 5 decimal places?
0.00042
Round -8893.62 to the nearest 10.
-8890
What is -0.0090094 rounded to 5 dps?
-0.00901
Round 95994.2 to the nearest one hundred.
96000
Round 0.12464645 to 5 dps.
0.12465
What is -1.4679279 rounded to one decimal place?
-1.5
Round -132064 to the nearest 10000.
-130000
Round -19600436 to the nearest 1000.
-19600000
Round -0.000002611725 to 7 decimal places.
-0.0000026
What is -315.61882 rounded to one decimal place?
-315.6
What is -0.00571534 rounded to 5 dps?
-0.00572
Round -121.73349 to zero decimal places.
-122
Round -3516891 to the nearest 1000.
-3517000
Round 0.00002492068 to 7 dps.
0.0000249
Round -901741 to the nearest one thousand.
-902000
Round 0.1411119 to four dps.
0.1411
What is -3305.7113 rounded to the nearest integer?
-3306
Round -9353.0924 to the nearest 10.
-9350
Round -0.1330358 to 5 decimal places.
-0.13304
What is 67251800 rounded to the nearest 1000000?
67000000
Round 0.0954605 to 3 decimal places.
0.095
What is -0.00555301 rounded to 4 decimal places?
-0.0056
What is 0.00000047451 rounded to 6 dps?
0
What is 11188.6 rounded to the nearest 1000?
11000
Round -784.886 to the nearest 100.
-800
Round 0.0002251191 to 5 decimal places.
0.00023
Round 8.0114068 to 1 decimal place.
8
Round 64962.3 to the nearest 1000.
65000
Round 95.41445 to the nearest 10.
100
What is 197347100 rounded to the nearest one hundred thousand?
197300000
What is -3.55443 rounded to two decimal places?
-3.55
What is -30953300 rounded to the nearest 1000000?
-31000000
Round -91.34282 to 0 dps.
-91
Round 17.29198 to 1 dp.
17.3
What is 172510 rounded to the nearest 10000?
170000
What is -15.8393 rounded to 1 dp?
-15.8
Round 0.000039976 to seven decimal places.
0.00004
What is 0.0035595 rounded to six dps?
0.00356
What is 39105600 rounded to the nearest 100000?
39100000
What is -0.40784237 rounded to 3 decimal places?
-0.408
Round -1188.6485 to 1 decimal place.
-1188.6
What is 19.491427 rounded to 1 decimal place?
19.5
Round -0.000229105 to six dps.
-0.000229
What is -39238.095 rounded to the nearest one thousand?
-39000
What is 67743.56 rounded to the nearest one hundred?
67700
What is -0.00010647 rounded to five dps?
-0.00011
What is 0.00005927554 rounded to six decimal places?
0.000059
What is -0.000007718765 rounded to 7 decimal places?
-0.0000077
Round -0.011946006 to 5 decimal places.
-0.01195
Round 0.0000001965618 to seven dps.
0.0000002
What is -675.395 rounded to the nearest 100?
-700
What is -145523.65 rounded to the nearest 100?
-145500
Round -0.0002649903 to 6 decimal places.
-0.000265
What is -76812800 rounded to the nearest one hundred thousand?
-76800000
What is -13340.781 rounded to the nearest one hundred?
-13300
Round 1513520 to the nearest ten thousand.
1510000
Round 2843370 to the nearest 10000.
2840000
What is -26190270 rounded to the nearest 100000?
-26200000
What is -119647.64 rounded to the nearest one thousand?
-120000
What is -494656 rounded to the nearest 1000?
-495000
What is 506.971 rounded to 0 dps?
507
What is 69.53363 rounded to one dp?
69.5
Round -297.76989 to the nearest 100.
-300
Round 0.0008357 to 4 decimal places.
0.0008
What is -0.00354069 rounded to two dps?
0
What is -17428.165 rounded to the nearest one thousand?
-17000
What is -0.5361768 rounded to one dp?
-0.5
Round 0.0000525427 to seven dps.
0.0000525
Round -0.000036417596 to seven dps.
-0.0000364
What is 178901.7 rounded to the nearest 1000?
179000
Round 0.005001438 to five dps.
0.005
What is -0.00091742 rounded to four dps?
-0.0009
What is -0.05446112 rounded to four dps?
-0.0545
Round 0.126147 to 3 dps.
0.126
Round 0.0000230575 to seven dps.
0.0000231
Round 1.1109993 to 1 decimal place.
1.1
Round 0.010910947 to 3 dps.
0.011
Round 0.0741505 to 2 decimal places.
0.07
What is 2924750000 rounded to the nearest one million?
2925000000
Round 96.347 to the nearest integer.
96
Round -0.0092192 to three decimal places.
-0.009
What is 190602.6 rounded to the nearest ten thousand?
190000
What is -0.005606005 rounded to four dps?
-0.0056
What is 6842620 rounded to the nearest one hundred thousand?
6800000
What is -166498890 rounded to the nearest 1000000?
-166000000
Round -52545500 to the nearest one hundred thousand.
-52500000
Round 0.000598773 to six dps.
0.000599
What is -0.0000290509 rounded to 7 decimal places?
-0.0000291
Round 620.4421 to the nearest ten.
620
Round -0.00295513 to five dps.
-0.00296
Round 2314.685 to 0 decimal places.
2315
Round 7724.84 to the nearest one hundred.
7700
What is 0.005802205 rounded to 4 decimal places?
0.0058
Round -120217.5 to the nearest one hundred.
-120200
Round 4234.43 to the nearest ten.
4230
Round 723870 to the nearest one million.
1000000
What is -0.0059229115 rounded to six decimal places?
-0.005923
What is 0.00003878018 rounded to 7 decimal places?
0.0000388
Round 0.00374748 to 4 dps.
0.0037
Round -1.5965181 to 1 decimal place.
-1.6
What is -0.00213225 rounded to 3 d
|
{
"pile_set_name": "DM Mathematics"
}
|
mine y(i).
-2
Let k(o) = 4. Let y = -3 - -2. Let v(n) = n + 1. Let q(j) = y*k(j) + 5*v(j). Let b(d) = -d**3 - 3*d**2 - 2*d - 1. Let c be b(-2). Determine q(c).
-4
Let u(f) = -3*f**2 + f**3 + 0*f**3 + 209 - 203 - 2*f + 7*f**2. Let c(m) = -m**3 - 6*m**2 - 3*m + 5. Let n be c(-5). Calculate u(n).
-9
Let y(q) = -q**2 - 7*q - 9. Let g(k) = -k**3 - 4*k**2 + 11*k - 13. Let i be g(-6). Determine y(i).
-9
Let l(y) = 3*y**3 + 2*y - 1. Suppose -7*b + 4*b + 6 = 0. Suppose b*p - 14 = w - 5*w, 0 = -5*w + p. Suppose -h = -2*h + w. Calculate l(h).
4
Let b(l) = -l + 3. Suppose -y = -8*t + 3*t + 14, -3*y + 15 = 4*t. Determine b(t).
0
Suppose 4*d + 2*a = 7*a - 5, -3*d = 5*a - 5. Let w(s) be the second derivative of s**4/12 + 9*s**2/2 - 2*s. What is w(d)?
9
Let z(p) = 4*p + 1. Let h(o) be the second derivative of 11*o**3/6 + o**2 - 5*o. Let n(q) = -3*h(q) + 8*z(q). What is n(2)?
0
Let r(d) be the third derivative of d**4/12 + d**3/3 + 2*d**2. Let c be r(-2). Let t(p) = -p**3 - 2*p**2 - p + 2. Calculate t(c).
4
Let i(b) = -6*b - 3. Let q be i(-1). Let o(t) be the third derivative of 0 + 1/24*t**4 + 1/120*t**6 - 4*t**2 + 0*t - 1/60*t**5 - 4/3*t**q. Calculate o(0).
-8
Let g(q) = -4*q - 1. Let u(s) = -s - 5. Let y(j) = j + 4. Let d(z) = 4*u(z) + 5*y(z). Let i(f) = -6*d(f) - g(f). Let w be 4/6*(3 + -6). Determine i(w).
5
Let t(g) = 0*g + 3*g - 4*g - 2. Let q = 3 - -1. Calculate t(q).
-6
Suppose -13*j + 15*j - 2 = 0. Let x(s) = -26*s + 1. Determine x(j).
-25
Let i(p) = -p + 2. Suppose 0 = -2*h - 2*h + 16. Suppose -5*f - 2 = -h*f. What is i(f)?
4
Let v = -7 - -4. Let j(u) = -u + 3 - 4 + 5 + 0*u. Calculate j(v).
7
Suppose 0 = -3*y - 2*y + 5*u + 5, 2*u - 12 = -5*y. Suppose 4*i + b - 8 = 0, -4*b = -y*b. Let x(h) = -1 + 4 + i - h. What is x(4)?
1
Let m(l) be the first derivative of -l**5/20 + l**4/12 - l**3/6 - l**2 + 2. Let q(g) be the second derivative of m(g). Let p = 4 - 3. Determine q(p).
-2
Let a(y) be the second derivative of -y**4/3 + y**2/2 + 38*y - 2. Determine a(-1).
-3
Let h(w) = -w - 10. Let n(r) = -3. Let m(o) = 4*h(o) - 14*n(o). Let l be m(-2). Suppose -u = u + l. Let t(i) = i. Determine t(u).
-5
Let t(r) be the second derivative of 7*r + 0 - 3/2*r**2 + 1/6*r**3. Determine t(3).
0
Suppose -2*z - 4*o = o - 21, 12 = z + 3*o. Suppose 0 = -z*x + 6 - 0. Let f(p) = 0*p**2 - 3 + p + p**x + 2 + 2*p**3. Determine f(1).
3
Suppose 0 = 2*w + 2*w. Let k(o) = -3 - o + 7 + 4 + w. Calculate k(0).
8
Let p = 2 + 3. Let j = p - 0. Let h(r) = 0*r + 4*r - j - r. Calculate h(5).
10
Suppose -5*l - 4 = -14. Let v(c) = -17*c**2 + c**l - 13 + 31*c + 49. Let o(f) = -3*f**2 + 6*f + 7. Let y(r) = 11*o(r) - 2*v(r). Determine y(4).
5
Let z = -1 - -1. Let p(j) = 2*j**2 - 2 + 0*j - j**3 - 2*j + z*j. Let s be (-3)/(-2) - (-15)/30. Calculate p(s).
-6
Suppose -6*t + 8*t = 6. Suppose -2 = v - t. Let y(w) = 1 - 3*w + 1 - 1. Give y(v).
-2
Let c(j) = j - 5. Let p be c(7). Let y = 5 - p. Let d(t) = -t**2 + 3*t + 1. Calculate d(y).
1
Let f(w) be the third derivative of -w**6/180 + w**5/40 + w**4/4 - 5*w**2. Let b(j) be the second derivative of f(j). Determine b(3).
-9
Let f(w) be the first derivative of -w**5/60 - 4*w**3/3 - w**2 + 2. Let g(i) be the second derivative of f(i). Calculate g(0).
-8
Let d(c) = -3*c + 7. Suppose -6 + 4 = w, -z + 15 = -5*w. Give d(z).
-8
Let f(x) be the third derivative of -x**5/60 + 11*x**4/24 - 2*x**3/3 + 36*x**2. What is f(10)?
6
Let s = 3 - -2. Let n = 8 - s. Let d(k) = 1 + k + 3*k**2 + 2*k - 4 - k**n - 2*k**2. Give d(2).
-1
Suppose 3*p = 2*p + 4. Let w = -3 - -4. Let i = p - w. Let t(h) = h**3 - 3*h**2 - 2*h + 4. Determine t(i).
-2
Suppose -s = 3*z + 4, -2*s + 17 = 2*s + z. Let h(a) = 2*a + a + 3*a - s*a. Suppose 10*m - 5*m = -4*i - 22, 2*m + 1 = i. Give h(m).
-2
Let p(s) be the first derivative of -s**2/2 - 10*s - 1. Let b(y) = -y - 10. Let o be 88/33 - ((-2)/3)/2. Let n(h) = o*b(h) - 2*p(h). Calculate n(0).
-10
Let w = 134 - 139. Let u(r) = r**2 + 5*r - 2. Calculate u(w).
-2
Let g(t) = -t - 3. Let c = -2 + 6. Suppose 5*z + 5 = 5*s, -s - c*z = -4*s + 4. Let u = 4 - s. Give g(u).
-7
Let a(t) be the third derivative of t**5/60 + t**4/8 - t**3/2 + 4*t**2. Calculate a(-5).
7
Let y = 14 + -18. Let v(i) = 5*i - 12. Let n(d) = -d + 3. Let t(m) = -9*n(m) - 2*v(m). Give t(y).
1
Let p(l) be the first derivative of l**3/3 + 3*l**2 - 2*l - 7. Let d = -2 - 6. Let a = d + 3. Calculate p(a).
-7
Let v(b) = -2*b - 1. Let x be v(-2). Let c(r) = 0*r + 2 + 2*r - r - x*r. What is c(3)?
-4
Let y(c) = c**3 + 9*c**2 + 8*c. Let f(l) = -l - 2. Let u(w) = -w**2 + w + 6. Let h be u(0). Let n be f(h). Give y(n).
0
Suppose 2*u + 21 = -u + 3*d, 0 = -4*d + 12. Let v be -1*2*(-6)/u. Let m(l) = 4*l + 3. Give m(v).
-9
Let m(z) = z**3 - 5*z**2 + 4*z + 3. Let h be m(4). Let n be 1/6*h*0. Let x(f) = 0*f + n + 2 - f. Give x(4).
-2
Let o(z) be the second derivative of -z + 0*z**2 + 1/6*z**3 + 0. Determine o(-6).
-6
Let a(s) be the first derivative of -s**3/3 - s**2/2 + 2*s + 2. Determine a(-4).
-10
Suppose -5 = 3*f - 11. Let r(k) be the second derivative of -1/3*k**3 + 3*k + 1/2*k**f - 1/12*k**4 + 0. What is r(-3)?
-2
Let m be (-2)/4 - (-38)/4. Let b be (m/(-2))/((-3)/8). Let z(y) = b - 3*y - 12. Calculate z(-2).
6
Let i(o) = -3*o + 1 + 5*o + o + 0. Suppose -2 = -g + 1. Suppose -g*m + m - 5*p = -3, -2*p = -2*m - 4. Give i(m).
-2
Let h(r) = r**2 + 2*r - 1. Let y be (-12)/24*-2*6/3. Determine h(y).
7
Let p be (30 + -29)/((-2)/10). Let i(n) = n**3 + 6*n**2 + 6*n - 1. Calculate i(p).
-6
Let f = 2 - 2. Let w(l) = 12*l**2 - 4*l**2 + f + l - 1. Give w(1).
8
Let k = -2 - -4. Let a(m) = -m + 5 - m**k - 2 + 5*m. Determine a(4).
3
Let j(n) = n**2 + 9*n + 5. Suppose -3*k + 4*y - 23 = 0, 3*k - 5*y + 35 = -2*k. Determine j(k).
-15
Let p be (-1)/((1 + -5)/8). Let n(k) = -k - 2. What is n(p)?
-4
Let a(w) be the third derivative of w**5/60 - w**4/24 - w**3 + w**2. Suppose 5*d = -0*d + 25. Suppose -3*n + 5*n + x = -5, -25 = n + d*x. What is a(n)?
-6
Let i(u) = -u**3 - 6*u**2 - 7*u - 7. Let n be i(-5). Suppose n*l = -l + 12. Let o(y) = y - 4. Give o(l).
-1
Let q(z) be the second derivative of -z**3/3 + 5*z. Give q(3).
-6
Let v(t) = t**2 + 6*t - 2. Let a = 28 - 34. What is v(a)?
-2
Let n(y) = 9*y - 12. Let b(g) = 11*g - 13. Let v(k) = 5*b(k) - 6*n(k). Determine v(-7).
0
Let r(t) = -t**3 + 9*t**2 - 7*t + 1. Let c(z) = -2*z**2 - 13*z - 7. Let f be c(-5). Calculate r(f).
9
Let k be -15*4/(-12) + -15. Let p(d) = -d**2 - 11*d - 12. Calculate p(k).
-2
Let r(c) be the third derivative of c**6/120 - c**5/15 - 2*c**3/3 - 32*c**2 + 2*c. Suppose 2*i - 7 = 1. Give r(i).
-4
Let v(i) = i**2 + 5*i. Suppose -30 = 5*p - 6*u + u, -2*p + 3*u - 14 = 0. Give v(p).
-4
Let r(s) = s**2 - s + 1. Suppose 2*x = -4*h + 14, 2*h + 2*x + 7 = 5*h. Suppose -n + 11 = 2*g + 5, h*n + 2 = -g. Give r(n).
7
Suppose p = 4*p - 12. Suppose 3*s - s = 3*j + p, -2*j + 4 = 0. Let l(c) = -c**2 + 7*c - 2. Determine l(s).
8
Let k(o) = -o**2 - 9*o - 1. Let r(s) = -s**3 + 5*s**2 + 4*s + 5. Let j be r(6). Calculate k(j).
13
Let h(t) = t**2 - t - 4. Let u(d) = -2*d + 9. Let f be u(3). Determine h(f).
2
Let g(a) = a**2 - 2*a + 3*a - 22 + 26. Determine g(0).
4
Suppose -2*f = -0*f + 6. Let y(w) = -4*w. Let m(d) = -d - 1. Let q(b) = -8*b - 5. Let a(o) = -5*m(o) + q(o). Let c(n) = 8*a(n) - 5*y(n). Calculate c(f).
12
Let v(b) be the first derivative of b**3/3 - 5*b**2/2 - 3*b + 4. Give v(4).
-7
Let f(k) = -1 - 135*k**2 + 2*k + 125*k**2 + 0*k. What is f(1)?
-9
Let a(b) = b**3 + 8*b**2 + 6*b - 9. Let f = -18 - -39. Suppose 4*x = x - f. Let t be a(x). Let i(y) = y**2 - y - 2. What is i(t)?
4
Let a(b) = b**2 - 5*b - 5. Let s = -62 + 68. What is a(s)?
1
Suppose -u + 3 = -0*u. Suppose 0 = u*c - 19 + 1. Let i be (-4)/6 - 20/c. Let x(n) = n**3 + 5*n**2 + 6*n + 1. Give x(i).
-7
Suppose t - 4 = 4*i, -i - 20 = -2*t - 3*t. Let q = t + -2. Let a(h) = -2*h**2 + 2*h - 1 - 9*h**2 + h**q. Determine a(1).
-9
Let f(v) = 12*v**3 - v**3 - 12*v**3 + 4*v. Determine f(-3).
15
Suppose 2*r + 2*x = -0*r + 44, -2*r = -x - 35. Let q = r + -14. Let h(y) be the first derivative of -y**2/2 - y + 1. What is h(q)?
-6
Let j(o) = o**2 - 5*o + 4. Let f be 7 - ((-15)/(-45) + (-2)/(-3)). What is j(f)?
10
Suppose 2*g + 0 = -8. Let h(o) be the second derivative of -o**4/12 - o**3/2 - 3*o**2/2 + 12*o. What is h(g)?
-7
L
|
{
"pile_set_name": "DM Mathematics"
}
|
7649?
647648
What comes next: -1013192, -1013193, -1013194, -1013195, -1013196, -1013197?
-1013198
What comes next: 8468, 8469, 8470, 8471, 8472, 8473?
8474
What comes next: 212, 85, -42?
-169
What is the next term in -29782, -59551, -89320, -119089?
-148858
What comes next: 574, 579, 582, 583?
582
What is the next term in -19, -181, -465, -883, -1447?
-2169
What comes next: 19795, 39684, 59573, 79462?
99351
What is the next term in 444, 1012, 1584, 2160?
2740
What is next in 504292, 504292, 504296, 504304, 504316, 504332, 504352?
504376
What is the next term in -580, -1382, -2182, -2980, -3776?
-4570
What is the next term in 908, 866, 750, 524, 152, -402, -1174?
-2200
What is next in -72495, -144996, -217497, -289998, -362499, -435000?
-507501
What comes next: -854, -1644, -2308, -2780, -2994, -2884, -2384, -1428?
50
What comes next: -272, -1486, -3506, -6332?
-9964
What is next in -121340, -242683, -364026, -485369?
-606712
What comes next: 25182, 25189, 25196, 25203?
25210
What is next in 912, 860, 800, 732, 656, 572?
480
What comes next: -381, -376, -337, -246, -85, 164, 519?
998
What comes next: 1448881, 1448880, 1448879, 1448878?
1448877
What comes next: 16352, 32705, 49058, 65411?
81764
What is the next term in 786068, 1572136, 2358204?
3144272
What is the next term in -799, -1631, -2525, -3511, -4619, -5879?
-7321
What is the next term in 14612, 28848, 43084, 57320, 71556?
85792
What comes next: 170, 337, 504, 671?
838
What is next in -9574, -19148, -28722?
-38296
What is the next term in -2359, -9419, -21187, -37663, -58847, -84739, -115339?
-150647
What is the next term in 5, -4, -15, -28, -43, -60?
-79
What comes next: -8455, -16360, -24265?
-32170
What comes next: 291, 866, 1441, 2016, 2591, 3166?
3741
What comes next: 106, 170, 236, 304, 374?
446
What is the next term in -5429, -21647, -48671, -86495, -135113, -194519, -264707, -345671?
-437405
What is the next term in -70014, -70010, -70002, -69990, -69974, -69954, -69930?
-69902
What is the next term in -5596, -5590, -5580, -5566?
-5548
What is the next term in -978, -999, -1020, -1041, -1062?
-1083
What comes next: -165, -1358, -4601, -10920, -21341?
-36890
What is next in -1149638, -1149637, -1149636, -1149635, -1149634?
-1149633
What is the next term in 5688, 11433, 17178, 22923?
28668
What is the next term in -479, -985, -1565, -2255, -3091, -4109, -5345, -6835?
-8615
What comes next: 79, 243, 589, 1177, 2067?
3319
What is the next term in -143845, -287701, -431557?
-575413
What comes next: -3739, -7481, -11221, -14959, -18695, -22429?
-26161
What comes next: 3453, 6844, 10233, 13620, 17005, 20388?
23769
What is next in 492, 479, 442, 369, 248, 67, -186?
-523
What comes next: -600, -597, -620, -681, -792, -965, -1212?
-1545
What is the next term in -793, -1295, -1797?
-2299
What is next in 3650, 7292, 10934, 14576, 18218?
21860
What is the next term in -161365, -322735, -484105, -645475, -806845, -968215?
-1129585
What is next in -2, 56, 152, 286?
458
What comes next: 18357, 18356, 18363, 18384, 18425, 18492, 18591?
18728
What is the next term in 153982, 153987, 154006, 154045, 154110?
154207
What comes next: 110, 137, 194, 293, 446, 665, 962?
1349
What is the next term in -65657, -131312, -196967, -262622?
-328277
What is the next term in -408, -767, -1098, -1401, -1676, -1923, -2142?
-2333
What is the next term in 5581, 11178, 16775?
22372
What comes next: -11611, -11768, -11925, -12082, -12239?
-12396
What comes next: 984, 1286, 2102, 3690, 6308, 10214?
15666
What is the next term in -16935, -33865, -50785, -67689, -84571, -101425?
-118245
What is next in -35980, -71955, -107930, -143905?
-179880
What is next in 1908951, 1908950, 1908949, 1908948, 1908947, 1908946?
1908945
What is next in 86, 331, 728, 1277, 1978, 2831?
3836
What is the next term in -387, -799, -1239, -1719, -2251, -2847, -3519, -4279?
-5139
What is next in 139, 319, 499, 679?
859
What comes next: -234708, -469412, -704116, -938820?
-1173524
What is the next term in 1489, 2982, 4463, 5926, 7365, 8774, 10147?
11478
What is the next term in -50955, -50961, -50971, -50985, -51003, -51025, -51051?
-51081
What comes next: 760, 6208, 20992, 49780, 97240?
168040
What is the next term in -12244762, -24489524, -36734298, -48979090, -61223906, -73468752?
-85713634
What is next in 3708, 7421, 11148, 14895, 18668, 22473, 26316?
30203
What comes next: -3514, -6733, -9956, -13183, -16414?
-19649
What comes next: 253, 502, 749, 994, 1237, 1478?
1717
What is the next term in -158, -314, -554, -920, -1454, -2198?
-3194
What comes next: 94, 187, 280, 373, 466?
559
What is the next term in 655, 606, 553, 496, 435?
370
What comes next: -1460, -1480, -1504, -1526, -1540, -1540, -1520?
-1474
What is the next term in 45524, 182098, 409722, 728396, 1138120?
1638894
What comes next: 525, 820, 1115?
1410
What is the next term in 119, 9, -103, -217, -333, -451?
-571
What comes next: 2762, 5542, 8350, 11192, 14074, 17002?
19982
What is next in 181918, 363847, 545786, 727741, 909718?
1091723
What is the next term in -10, -66, -254, -646, -1314?
-2330
What is the next term in -4425093, -4425092, -4425091, -4425090, -4425089, -4425088?
-4425087
What is next in -49, -160, -275, -394, -517?
-644
What is the next term in -704, -2834, -6414, -11450, -17948, -25914, -35354, -46274?
-58680
What comes next: 900872, 1801745, 2702618?
3603491
What comes next: 477336, 954674, 1432012, 1909350?
2386688
What is next in 347, 1359, 3039, 5393, 8427, 12147, 16559, 21669?
27483
What is the next term in 883, 904, 935, 976, 1027?
1088
What comes next: -1849053, -3698108, -5547163, -7396218, -9245273?
-11094328
What comes next: -1115811, -1115806, -1115797, -1115784, -1115767?
-1115746
What is the next term in -7684, -7681, -7678, -7675?
-7672
What is next in -106073, -212147, -318221?
-424295
What is next in -332, -615, -902, -1193, -1488?
-1787
What comes next: 94532, 756322, 2552604, 6050624, 11817628, 20420862?
32427572
What is next in 4235, 8476, 12721, 16970?
21223
What is next in 35, 92, 145, 194, 239?
280
What is next in 71891, 71888, 71885?
71882
What is next in 811014, 1622030, 2433046, 3244062, 4055078, 4866094?
5677110
What is next in -189, -179, -177, -195, -245, -339, -489?
-707
What is the next term in 2686, 2677, 2668?
2659
What is next in -447, -425, -403, -381?
-359
What is next in 13596, 13566, 13526, 13476?
13416
What comes next: 292, 346, 434, 574, 784?
1082
What is next in -36996, -36998, -37000, -37002?
-37004
What comes next: -1347249, -1347251, -1347253?
-1347255
What is next in 34786, 34786, 34784, 34780, 34774, 34766?
34756
What is the next term in 649, 1537, 2659, 4015, 5605?
7429
What is next in 325, 355, 407, 481, 577, 695?
835
What is next in 89, 52, 17, -22, -71, -136, -223?
-338
What is the next term in 3708, 7415, 11122, 14829, 18536, 22243?
25950
What is the next term in -2986, -6080, -9166, -12238, -15290, -18316, -21310?
-24266
What is next in -647, -2806, -6411, -11462, -17959?
-25902
What is the next term in 574, 1016, 1458, 1900?
2342
What comes next: 130, 289, 464, 661, 886?
1145
What comes next: -30747, -61505, -92265, -123027?
-153791
What is the next term in -2885, -5786, -8685, -11582, -14477, -17370, -20261?
-23150
What is the next term in -246, 829, 2620, 5127, 8350, 12289, 16944?
22315
What is next in 4060, 4063, 4070, 4081, 4096?
4115
What is next in -4656, -9321, -13990, -18663, -23340?
-28021
What is next in 1299, 2279, 3259, 4239, 5219?
6199
What comes next: -1799, -1753, -1657, -1487, -1219?
-829
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6011
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423953
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-2135
What is the next term in 33231, 66461, 99689, 132915?
166139
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1260
What is the next term in 2580, 2598, 2628, 2670?
2724
What comes next: 19747, 19715, 19683?
19651
What is next in 2702, 5396, 8090?
10784
What comes next: -26380, -26358, -26312, -26236, -26124, -25970, -25768, -25512?
-25196
What is next in -6005, -24005, -54005, -96005, -150005, -216005, -294005?
-384005
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863
What comes next: 43, 189, 313, 415, 495?
553
What comes next:
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{
"pile_set_name": "DM Mathematics"
}
|
(sqrt(143)*2 + sqrt(143)))/sqrt(11))**2 + (sqrt(832) + sqrt(832)*-3 + sqrt(832) - sqrt(832) - sqrt(39)/(sqrt(24)/sqrt(8)))**2*-5.
-18312
Simplify (-3 + ((-1 + sqrt(425))*6 - (sqrt(425) - (-6*(sqrt(425) - 4*sqrt(425)) - sqrt(425)))) + 3)**2 + -3.
-1320*sqrt(17) + 205733
Simplify (((0 + 3*sqrt(128))*6)**2 - (-6*(-4 + sqrt(128))*-1)**2) + 1.
2304*sqrt(2) + 36289
Simplify 5*((sqrt(77)/(1*sqrt(22)/sqrt(2))*2 - 1*(-5 + sqrt(7)*-2)*3) + -5).
50 + 40*sqrt(7)
Simplify (sqrt(3888)*4 + (-2*sqrt(108))/sqrt(4))/(sqrt(576)*6*-2).
-23*sqrt(3)/48
Simplify -5*(4 + 2*sqrt(3) - sqrt(30)/(sqrt(10)*-3))**2 - ((sqrt(210) + (sqrt(210) - 1*sqrt(210)) - sqrt(210))/sqrt(10))/(-2*-2*sqrt(7) + sqrt(7)).
-485/3 - 280*sqrt(3)/3
Simplify 2*((5 + (sqrt(1300) - (sqrt(1300) + 2) - sqrt(1300)))**2 - (sqrt(1300) + -3 + 0 + sqrt(1300) - sqrt(1300))**2 - (6*sqrt(1300)*-1 + 4)).
-8 + 120*sqrt(13)
Simplify -2 + (sqrt(15)/sqrt(3) + -5 + -1 - (2*sqrt(60)*3)/sqrt(12))**2 + -2.
60*sqrt(5) + 157
Simplify -1*(-3 + sqrt(18) + 1)**2 - ((sqrt(4) - sqrt(40)/(sqrt(50)/sqrt(5))) + sqrt(4) + sqrt(4))/(-3*sqrt(18) - sqrt(2)).
-22 + 61*sqrt(2)/5
Simplify -3*((3*(sqrt(112) + sqrt(7)) + (sqrt(7) - sqrt(112)*6))**2 + 4 + (0 + sqrt(42)/sqrt(6))**2 + 2).
-1383
Simplify 2 + (1*(sqrt(30)/sqrt(6) + sqrt(5)) - (sqrt(5) + (sqrt(60)*1)/sqrt(12)))**2 + ((sqrt(3000) - sqrt(30))/sqrt(6) + -5)**2.
-90*sqrt(5) + 432
Simplify (((sqrt(72) - sqrt(72)*1)/sqrt(12) - sqrt(600)*-1)*-4)/(6*sqrt(144)/(-2*sqrt(8) + sqrt(8))).
20*sqrt(3)/9
Simplify -6*2*(-3*((-3 + (sqrt(700) - (sqrt(700) + -5*sqrt(700)*-1)))*5 + 4))**2.
-47263068 - 594000*sqrt(7)
Simplify (1*(sqrt(121) + sqrt(121) + -5*1*sqrt(121)) + (-6*sqrt(121)*2 - -2*sqrt(121)*-5))/(((sqrt(66) - sqrt(66)*1)*6 - sqrt(66))/(-5*-1*sqrt(6))).
125*sqrt(11)
Simplify 3*(sqrt(117) + -1 - (sqrt(13)*1*-4)**2) - (1*sqrt(117)*-4)/sqrt(9)*5.
-627 + 29*sqrt(13)
Simplify (1 + sqrt(2736) + -3 + sqrt(2736) + (sqrt(2736) + -1)*3 + sqrt(2736) - (5 + (sqrt(2736) - 2*sqrt(2736)) + 2*sqrt(2736)*3))**2.
-240*sqrt(19) + 2836
Simplify ((-4*(sqrt(13) + 1))**2 + (0 + sqrt(13))*-2 - (1*sqrt(13)*4*-4)**2) + ((2*sqrt(13)*5 - (sqrt(1872) + -2 + sqrt(1872))) + 2)**2.
-540 - 82*sqrt(13)
Simplify 6*6*((sqrt(162) + (0 + sqrt(162) + 4)**2 - (2 + sqrt(162) + 3)) + (4*(3 + -5 + sqrt(162)))**2).
-18144*sqrt(2) + 101844
Simplify (((sqrt(102)*2 + sqrt(102))*-6)/(sqrt(6) + sqrt(6) + 2*sqrt(96)))**2 - ((sqrt(204)*-2 - sqrt(204))/sqrt(12) - (sqrt(272) + -2 + sqrt(272))**2).
-29*sqrt(17) + 28677/25
Simplify ((2*sqrt(95) + sqrt(95) + sqrt(95) - sqrt(95))*-6)/(sqrt(5) - (sqrt(120)/sqrt(3))/sqrt(8) - sqrt(5)) + -3 + 2*(sqrt(76) + 0).
-3 + 22*sqrt(19)
Simplify -5 + (sqrt(95) + sqrt(95) + (sqrt(95) - -3*-2*sqrt(95)) + -4*sqrt(95)*-1)/((sqrt(3240)*-1 - sqrt(3240))/sqrt(8)).
-5 - sqrt(19)/18
Simplify 1*(((sqrt(68) + sqrt(68) + sqrt(68)*1 - sqrt(68))*4)/(sqrt(324)*2 + sqrt(324) + sqrt(324) + sqrt(324)) - (3 + (-4 + sqrt(153))*1)).
-127*sqrt(17)/45 + 1
Simplify (-5 + (2 + -1*sqrt(3) - sqrt(3)) + sqrt(27)*1*-4 - (0 + (sqrt(30) + sqrt(750) + 1*sqrt(750) + sqrt(30))/(sqrt(640)*1)))**2.
93*sqrt(3) + 2919/4
Simplify 3*-2*(((sqrt(363) + 3 + sqrt(363)*-4)*-6)**2 + 3).
-707634 + 42768*sqrt(3)
Simplify (4 + (-5*sqrt(121)*1)/(sqrt(77)/(sqrt(7) + sqrt(28))) + 6*(sqrt(11) + sqrt(66)/sqrt(6) + 1) + 5 + 1)**2.
-96*sqrt(11) + 355
Simplify (-3 + 3 + sqrt(405) + 4*3*sqrt(5))**2 - (sqrt(180)*2)/(sqrt(72)/(sqrt(56)/sqrt(7))).
-4*sqrt(5) + 2205
Simplify 4*6*(3 + (3*(sqrt(612)*-1 + -4 + sqrt(612)*-2 + 1 + 0))**2).
23328*sqrt(17) + 1191744
Simplify (1*(-3*sqrt(425))**2 + 3 + 2*sqrt(425))*-2 - (4*(3 + sqrt(425)*-4)*-3)**2.
-988152 + 17260*sqrt(17)
Simplify (sqrt(3888)*-1 + 5 + -1*-2*sqrt(3888) - ((sqrt(144) + sqrt(144) + -3*sqrt(144))/sqrt(3) + sqrt(48) + sqrt(96)/(sqrt(2) + sqrt(18))))**2.
350*sqrt(3) + 3700
Simplify (sqrt(19) + sqrt(19) + 0 + sqrt(76) - (sqrt(228)/(2*sqrt(12)))**2)*-2 + (0 + sqrt(1539) + 1)**2*-1*3.
-9221/2 - 62*sqrt(19)
Simplify (1 + 2 + ((sqrt(171) - -2*sqrt(171))*3 + (sqrt(171)*2*2 - sqrt(171) - sqrt(171)))/(((sqrt(9) - (sqrt(9) - sqrt(45)/sqrt(405))) + sqrt(9))*-5))**2.
-297*sqrt(19)/25 + 208719/2500
Simplify ((2*sqrt(48)*5 - sqrt(48)) + (1*sqrt(240)/sqrt(5) - sqrt(48)))/(sqrt(32)/(-4*sqrt(40)/sqrt(5))).
-72*sqrt(3)
Simplify (3 + 3 + -2*5*2*sqrt(2299)*5)**2.
-13200*sqrt(19) + 22990036
Simplify ((sqrt(144) - (sqrt(144) + sqrt(144)*2))/sqrt(3))**2 - (5 + (sqrt(147) - (1*(sqrt(147) + (sqrt(147) - (sqrt(147) + 1*sqrt(147)))) - sqrt(147))))**2.
-421 - 140*sqrt(3)
Simplify (6*sqrt(44)/sqrt(4) + 4 + (sqrt(99) - (5*(sqrt(99) - -2*sqrt(99)))**2) - (-1*((sqrt(11) - (sqrt(11) + 1 + sqrt(11)))*-3 + -1))**2*-4)*-5.
-285*sqrt(11) + 109295
Simplify 1 + ((sqrt(3) + sqrt(21)/sqrt(7))*-2 - -1*1*sqrt(3)) + (-4*sqrt(225))/(sqrt(30)/(sqrt(10) + sqrt(10)*-1 + sqrt(10))).
-23*sqrt(3) + 1
Simplify (sqrt(35)*-2*5 + sqrt(315) + sqrt(315)*-3)/((sqrt(672)/(sqrt(192) - sqrt(12)))/(sqrt(8) + sqrt(64)/(sqrt(16)/sqrt(2)))).
-96*sqrt(5)
Simplify ((sqrt(360) + (sqrt(360) - (sqrt(360) + -1*sqrt(360))*3) - sqrt(360) - sqrt(360))/sqrt(12)*1)/(sqrt(216)*6 + (sqrt(96)*3 - sqrt(96))).
0
Simplify 5 + 5*(sqrt(24)/((3*sqrt(432) - sqrt(12)) + sqrt(12) + sqrt(12)) + -4)*6.
-115 + 30*sqrt(2)/19
Simplify ((((sqrt(2299) - -1*sqrt(2299)*-1 - -4*(1 + sqrt(2299))) + (sqrt(2299) - -2*2*sqrt(2299))*-4)*6 + 5)*-3)**2.
-551232*sqrt(19) + 190695825
Simplify (sqrt(468)*-2*6*-3)**2 + ((sqrt(78) - sqrt(78)*2)*-1)/((sqrt(864)*-1 - sqrt(864)) + sqrt(864) - sqrt(864)).
-sqrt(13)/24 + 606528
Simplify (-1 + 2 + 6*(-4 + sqrt(468)) + 1 + (3 + (sqrt(468) - (sqrt(468) + 3)) - sqrt(468)))**2*-1.
-12184 + 1320*sqrt(13)
Simplify 3*((sqrt(110) + sqrt(110) + 5*-1*sqrt(110) + (sqrt(110) - sqrt(110)*-2*5))/(sqrt(110)/(sqrt(33)/sqrt(3)*-4 - sqrt(11))))**2.
52800
Simplify (4 + 5*((sqrt(200)*1 + 0)*5 + 0) + 2)**2.
3000*sqrt(2) + 125036
Simplify (1*((-1 + sqrt(605))*-3 - sqrt(605))*6)**2 + (sqrt(720)/sqrt(9) - sqrt(55)/(sqrt(11)*1))**2*4.
-9504*sqrt(5) + 348984
Simplify (-4*2*((sqrt(5) - sqrt(5)*-1) + sqrt(5))*-1*-4)**2 + ((sqrt(720) + 0)*1 + -4)*-1.
-12*sqrt(5) + 46084
Simplify (-4 + (sqrt(704)*-2*1 - (sqrt(704) + sqrt(704)*2 + 5)) + sqrt(704) + -2 + sqrt(704) + -2 + -3 + 1)**2*6.
4320*sqrt(11) + 39366
Simplify (-5 + 4 + 3 + 2*(2*sqrt(1216) + 0 + 4))*-6.
-192*sqrt(19) - 60
Simplify (((-2*sqrt(126) - sqrt(126))/sqrt(6) - sqrt(21))/(sqrt(7) + sqrt(28)*2) + (sqrt(99)/(sqrt(22)/sqrt(2)))/(sqrt(27)*1 + sqrt(27)))*-6.
19*sqrt(3)/5
Simplify (-5 + ((5 + (sqrt(112) + -2 - sqrt(112)) + 4)*5 + -2)*3)**2.
8836
Simplify 5*(((sqrt(208) + (sqrt(208) + sqrt(208)*-3 - sqrt(208)))*1)**2 + 2 + (4*(sqrt(13) + -1) + -6*sqrt(637))**2).
1520*sqrt(13) + 98110
Simplify -1 + (-1*(4 + (sqrt(1300)*1 + -2 - sqrt(1300) - (sqrt(1300) + (sqrt(1300) - (sqrt(1300) + 2 + 0)))))*1)**2.
-80*sqrt(13) + 1315
Simplify 3 + 2*sqrt(637) + -3 - -5*(sqrt(1573) + -1 + 0)**2.
-96*sqrt(13) + 7870
Simplify (3*(sqrt(490) - ((sqrt(490) - -2*sqrt(490)*-3) + sqrt(490) - sqrt(490))))/((sqrt(20) - -1*sqrt(2000))/(sqrt(40)/(sqrt(10)*-2))).
-63*sqrt(2)/11
Simplify (6*-4*sqrt(228)*-2*4)/(sqrt(108)/(3*sqrt(9)) + sqrt(12) - (sqrt(12) - (sqrt(12) - (sqrt(768)*2 - sqrt(12))))).
-576*sqrt(19)/41
Simplify (((sqrt(64)/sqrt(2))/sqrt(2))/(sqrt(16)/(sqrt(4)*2)))/((sqrt(2) - (-2*(sqrt(4)/sqrt(2) - sqrt(2)) - sqrt(2))) + sqrt(8)*-3).
-sqrt(2)/2
Simplify -2 + -5*(2*((sqrt(1728)*3*-5 - sqrt(1728)) + sqrt(1728) + sqrt(1728) + 5))**2.
-6774262 + 67200*sqrt(3)
Simplify 5*(-6*(sqrt(133)*2 - sqrt(133)) + (sqrt(133) - -2*sqrt(133)*1))/((sqrt(1008)*-2 + sqrt(1008))/(sqrt(44)/(sqrt(22)/sqrt(2)))).
5*sqrt(19)/2
Simplify ((2*-2*sqrt(104) - 1*(sqrt(104) - 1*sqrt(104)))*-6)/((sqrt(128)*2*5 - sqrt(128) - sqrt(128))*4) + -2.
-2 + 3*sqrt(13)/16
Simplify (-1*sqrt(560) - (sqrt(315) + sqrt(315)*-3 - sqrt(315))/sqrt(9))/((sqrt(70)*2)/sqrt(10)*3).
-sqrt(5)/6
Simplify (-2 + (5*(1*sqrt(567) + 5)*2 + -1)**2)*5.
44100*sqrt(7) + 295495
Simplify (sqrt(2916)*-1 + sqrt(396)/sqrt(176))/((sqrt(98) + sqrt(98)*2)*3 - (sqrt(98)*-1 - sqrt(98))*3)*-6.
3*sqrt(2)/2
Simplify 1 + -1*4*(5 + sqrt(180)*-2 + 0).
-19 + 48*sqrt(5)
Simplify (-3 + (6*sqrt(209)*-1 + -2*sqrt(209)*2)/(sqrt(99)/(sqrt(729)*1 + sqrt(729))) + -1)**2.
1440*sqrt(19) + 615616
Simplify (sqrt(2448)*-1*1 + ((sqrt(2448) + -1 + sqrt(2448))*-4
|
{
"pile_set_name": "DM Mathematics"
}
|
t g(m) = m**2 + m. Let b(c) = -2*c**2 + 2*c. Let w(t) = -b(t) - 4*g(t). Factor w(a).
-2*a*(a + 3)
Let y(m) be the second derivative of -m**7/126 + m**6/90 + m**5/60 - m**4/36 + 5*m. Suppose y(p) = 0. What is p?
-1, 0, 1
Let f(q) be the second derivative of -1/4*q**4 - 9/2*q**2 + 0 - 2*q**3 + q. Factor f(g).
-3*(g + 1)*(g + 3)
Let v be ((-9)/27)/((-2)/18). Let t(i) be the first derivative of -3/5*i**5 + 0*i**2 - v + 1/3*i**6 + 0*i**3 + 1/4*i**4 + 0*i. Determine o so that t(o) = 0.
0, 1/2, 1
Suppose 0 = -5*v - g + 15, 4*v - 2*v - 2*g - 6 = 0. Factor 2*p**5 + 0 - v*p**3 - 2*p**4 + 4*p**2 - 2 + 2*p - p**3.
2*(p - 1)**3*(p + 1)**2
Let h be (-2)/2*2*(-291)/970. Find i, given that 3/5*i**2 - 3/5 - 3/5*i**3 + h*i = 0.
-1, 1
Let z(s) be the third derivative of -s**5/180 - s**4/72 - 2*s**2. Determine h so that z(h) = 0.
-1, 0
Let b(t) = -11*t**3 + t**2 - 5*t - 5. Let d(f) = -5*f**3 + f**2 - 2*f - 2. Let r(i) = 2*b(i) - 5*d(i). Factor r(v).
3*v**2*(v - 1)
Suppose 0*r + 4*r = 2*r. Factor 4/7*w**3 - 6/7*w**2 + r*w + 2/7.
2*(w - 1)**2*(2*w + 1)/7
Let f(m) = -m. Let s be f(-4). Let k = -4 + s. Factor 2 + k*i - 5*i**2 + 3*i + 0.
-(i - 1)*(5*i + 2)
Let o = 943 - 3759/4. Let -3*f + o*f**2 + 1/4*f**4 - 3/2*f**3 + 1 = 0. Calculate f.
1, 2
Let g(p) be the third derivative of -3/10*p**5 - 11/105*p**7 + 0*p + 0*p**3 + 0 + 1/6*p**4 - p**2 + 1/56*p**8 + 1/4*p**6. Factor g(l).
2*l*(l - 1)**3*(3*l - 2)
Factor -3/7*a + 4/7*a**2 - 18/7 + 1/7*a**3.
(a - 2)*(a + 3)**2/7
Suppose 12 = 5*v - 2*v. Let q(h) = 2*h - 5. Let a be q(v). Factor 2*t**4 + 10*t**5 - 4*t**3 + 2*t**a - 8*t**5 - 2*t**2.
2*t**2*(t - 1)*(t + 1)**2
Let q(d) be the second derivative of -d**4/60 + d**3/6 - 3*d**2/5 - 10*d. Factor q(x).
-(x - 3)*(x - 2)/5
Let u = -38 + 41. Let -2/7*g - 2/7*g**5 + 0*g**4 + 0*g**2 + 4/7*g**u + 0 = 0. What is g?
-1, 0, 1
Let w(q) be the third derivative of q**9/20160 - q**8/3360 - q**7/1680 + q**6/120 + q**5/20 + 3*q**2. Let b(t) be the third derivative of w(t). Factor b(z).
3*(z - 2)*(z - 1)*(z + 1)
Factor 9*x - 9*x + 7*x**3 - 4*x**3 - 18*x**2.
3*x**2*(x - 6)
Determine a so that 0 - 2/3*a - 2/9*a**2 = 0.
-3, 0
Factor -2/5*u**2 + 4/5*u**3 + 0*u - 2/5*u**4 + 0.
-2*u**2*(u - 1)**2/5
Let c = 8 + -38/5. Let a be (-2 + 2)/(-2 - 0). Solve -c*b**3 + 0*b + a - 1/5*b**2 - 1/5*b**4 = 0.
-1, 0
Let y be (-1)/(-14) - (-18)/42. Let k(g) be the first derivative of 2 - 2*g + g**2 + 2/3*g**3 - y*g**4. Factor k(h).
-2*(h - 1)**2*(h + 1)
Let h(l) = l**3 - 3*l**2 + 2*l + 3. Let r be h(3). Let i be 0*3/r + 2. Factor 0*f**2 + f**2 + f**4 + 2*f**3 - i*f - 2*f**2.
f*(f - 1)*(f + 1)*(f + 2)
Let f be (-180)/(-351) - (-5)/((-65)/(-2)). Let v(p) be the first derivative of -4*p - p**2 - 2 + f*p**3. Factor v(j).
2*(j - 2)*(j + 1)
Suppose -2/7*b**2 + 6/7*b - 4/7 = 0. What is b?
1, 2
Let p(k) be the second derivative of -k**10/30240 - k**9/7560 - k**8/6720 + k**4/4 + 3*k. Let n(o) be the third derivative of p(o). Factor n(b).
-b**3*(b + 1)**2
Let h(u) be the second derivative of 0*u**2 - 1/42*u**7 - 1/6*u**3 + 1/10*u**5 + 0*u**6 + 0 - 3*u + 0*u**4. Factor h(j).
-j*(j - 1)**2*(j + 1)**2
Let d(t) be the first derivative of -t**7/1960 - t**3/3 + 4. Let k(y) be the third derivative of d(y). Suppose k(i) = 0. What is i?
0
Let b(d) = -3*d**2 + 7*d - 6. Let s(z) = 3*z**2 - 6*z + 6. Let c(k) = -3*b(k) - 2*s(k). Find v, given that c(v) = 0.
1, 2
Let z(f) = 18*f**2 + 5*f - 6. Let o be 5*-1*12/(-10). Let v(l) = -2 + l + 0 + o*l**2 + l. Let y(h) = 7*v(h) - 2*z(h). Let y(k) = 0. What is k?
-1, 1/3
Let f(h) = -h. Let t(g) = -5*g**2 - 7*g. Let p(s) = 2*f(s) - t(s). Solve p(w) = 0.
-1, 0
Let r be (22 + 2)/(3/4). Suppose -4*t - r = -f, 3*t - t - 38 = -4*f. Factor -2 - 2*c - 2*c**2 - 8*c - f*c**2 + 6.
-2*(c + 1)*(7*c - 2)
Factor 4/3*i**2 + 4/3*i - 4/3 - 4/3*i**3.
-4*(i - 1)**2*(i + 1)/3
Let u = -28 + 169/6. Let l(a) be the second derivative of 0 + 1/15*a**6 - 3*a + 0*a**2 + u*a**3 + 0*a**5 - 1/6*a**4 - 1/42*a**7. Suppose l(j) = 0. What is j?
-1, 0, 1
Let q be (-6 - (-6 - 5)) + -3. Factor 0*y**q - 1/3*y**3 + 0 + 1/3*y.
-y*(y - 1)*(y + 1)/3
Let f be (-1)/((-12)/9) - (-46)/24. Find z such that 2/3*z + 0 + f*z**2 = 0.
-1/4, 0
Let k(v) be the third derivative of -v**8/504 - v**7/630 - 2*v**2. Find m, given that k(m) = 0.
-1/2, 0
Factor 4 + 4*c**2 + 22/3*c + 2/3*c**3.
2*(c + 1)*(c + 2)*(c + 3)/3
Let z = 386 + -382. Solve 2/5*d**z - 2/5*d**2 + 2/5*d + 0 - 2/5*d**3 = 0 for d.
-1, 0, 1
Let h(t) = 2*t + 5. Let q be h(0). Let i(y) be the third derivative of 1/6*y**3 + 0*y + 0 + 2*y**2 + 27/80*y**q - 3/8*y**4. Factor i(b).
(9*b - 2)**2/4
Let n(g) be the second derivative of -g**6/60 + 3*g**5/10 - 23*g**4/12 + 5*g**3 - 25*g**2/4 - 43*g + 2. Determine h so that n(h) = 0.
1, 5
Solve -9*j**5 - 2*j**3 + 11*j**5 + 4*j**3 + 4*j**4 = 0.
-1, 0
Let d(k) = -k**5 - 4*k**3 + 6*k**2 + 5*k. Let z be (0 - 11)/(-1 - -2). Let p(n) = -2*n**5 - 7*n**3 + 11*n**2 + 9*n. Let j(f) = z*d(f) + 6*p(f). Factor j(o).
-o*(o - 1)**2*(o + 1)**2
Let t be (6/24)/((-2)/(-4)). Factor -t*w**3 - 1/2*w + 0 - w**2.
-w*(w + 1)**2/2
Let n(f) be the third derivative of -f**6/780 + f**5/195 - f**4/156 - 8*f**2. Factor n(y).
-2*y*(y - 1)**2/13
Factor 4*f + 12 - 20/3*f**2 + 4/3*f**3.
4*(f - 3)**2*(f + 1)/3
Suppose 3*o - 3 = -o + 5*f, 14 = 5*o + 4*f. Let a(p) be the first derivative of 2/7*p**o - 2 + 2/7*p**3 - 2/7*p. Solve a(r) = 0 for r.
-1, 1/3
Let x(h) = 5*h**4 + 3*h**3 - 12*h**2 + 8*h + 4. Let l(i) = 10*i**4 + 6*i**3 - 24*i**2 + 17*i + 9. Let m(j) = -4*l(j) + 9*x(j). Let m(s) = 0. Calculate s.
-2, 0, 2/5, 1
Let n(g) be the third derivative of -3*g**2 + 1/12*g**3 - 1/840*g**7 - 5/96*g**4 + 0 + 0*g + 1/80*g**5 + 1/480*g**6. Suppose n(h) = 0. Calculate h.
-2, 1
Let p be ((-6)/(-8))/((-1)/(-4)). Suppose -2*t - 8 = -5*z, p*z - 3*t + 1 = 2*z. Suppose z*g**2 + 2 + 2 - 6*g + 0*g = 0. Calculate g.
1, 2
Let l = 7 - 10. Let z(n) = 9*n**2 + n. Let f(o) = -3*o**2. Let i(u) = l*z(u) - 8*f(u). Factor i(w).
-3*w*(w + 1)
Let n = 233/20 + -58/5. Let t(i) be the third derivative of -3/8*i**4 - n*i**5 + 0*i**3 + 0 + 3*i**2 + 0*i. Find v, given that t(v) = 0.
-3, 0
Let j be -1*5/(10/(-8)). Suppose 74*o**2 + 4*o**3 - 4*o - 2 - 74*o**2 + 2*o**j = 0. Calculate o.
-1, 1
Find j, given that 4*j**2 - 2/7*j**5 - 2/7*j**3 - 8/7*j**4 + 40/7*j + 16/7 = 0.
-2, -1, 2
Determine j, given that 2*j**4 + 5*j**5 + 23*j**3 - 33*j**3 - 2*j**4 + 5*j = 0.
-1, 0, 1
Let j(p) be the second derivative of p**7/63 + 2*p**6/45 - p**4/9 - p**3/9 - 7*p. Factor j(s).
2*s*(s - 1)*(s + 1)**3/3
Let o(l) = -4*l**4 - 5*l**3 - 2*l**2 + 42*l - 17. Let b(x) = 3*x**4 + 3*x**3 + x**2 - 28*x + 11. Let n(d) = -7*b(d) - 5*o(d). Let n(z) = 0. What is z?
-2, 1, 4
Let f(a) = -a**4 + a**3 + a**2 + 1. Let z = -1 - 5. Let q(s) = 4*s**4 - 2*s**3 - 6*s**2 - 4*s - 4. Let l(j) = z*f(j) - q(j). Solve l(v) = 0.
-1, 1
Let l(n) be the first derivative of -n**5/110 + n**4/66 - 2*n - 1. Let x(c) be the first derivative of l(c). Find m such that x(m) = 0.
0, 1
Let m(r) = r**2 - 4*r - 42. Let p be m(-5). Find q, given that -1/5*q**p - 2/5*q**2 + 0 + 0*q = 0.
-2, 0
Suppose 3*o - 4*s + 6*s + 3 = 0, 6 = o + 3*s. Let q be 3 - 1 - (3 + o). Solve g**q + 1 - 3 + 2 + g**3 = 0 for g.
-1, 0
Let d be 2/3 + 332/60 + -6. Let p(z) be the first derivative of 1/10*z**4 + 0*z**3 - d*z**2 - 2 + 0*z. Find w such that p(w) = 0.
-1, 0, 1
Determine r, given that -2 - 1/4*r**2 - 3/2*r = 0.
-4, -2
Let q(p) be the third derivative of 0*p**3 + 0 - 1/180*p**5 + p**2 + 0*p - 1/36*p**4. Factor q(y).
-y*(y + 2)/3
Let m = -701/4 + 176. Solve -7/4*s**4 - m*s**2 + 3*s**3 + 0 - 1/2*s = 0 for s.
-2/7, 0, 1
Let d be (-5)/(-150)*(-6)/(-4). Let n = 23/60 - d. Factor 0*j**2 - 1/3*j**3 + n*j + 0.
-j*(j - 1)*(j + 1)/3
Let s(j) be the first derivative of j**6/360 - j**5/30 + j**4/6 + 2*j**3/3 + 1. Let z(k) be the third derivative of s(k). Factor z(y).
(y - 2)**2
Let n(z) be the first derivative of -4*z**3/21 - 3*z**2/7 - 2*z/7 + 4. Factor n(w).
-2*(w + 1)*(2*w + 1)/7
Factor -4*f**4 - 202*f - 172*f**2 + 1082*f - 71*f**3 - 9*f**3 - 140*f**2 - 484.
-4*(f - 1)**2*(f + 11)**2
Let s be (-26)/13 + (-57)/(-26). Let f = s - -27/130. Factor 4/5 + f*y**2 + 6/5*y.
2*(y + 1)*(y + 2)/5
Let q(z) be the first derivative of -z**4/16 + z**3/12 + z**2/8 + 9*z + 4. Let y(v) be the first derivative of q(v). Factor y(m).
-(m
|
{
"pile_set_name": "DM Mathematics"
}
|
4?
2
Let r(p) = p**2 - 11*p + 13. Let s be r(-6). Let f = -76 + s. What is the tens digit of f?
3
Let y be 2/(-6) - (-1348)/12. Let b = y + -57. Let o = b + -27. What is the units digit of o?
8
Let f(p) = -p**2 + 36*p + 68. What is the tens digit of f(18)?
9
Let f = 6 + -114. Let u = f - -193. What is the tens digit of u?
8
Let n = -3 - 11. Let k = n + 30. Let c = k - 11. What is the units digit of c?
5
Let k(v) = 19*v + 55. What is the tens digit of k(5)?
5
Suppose 5*f = -5*m - 0*f - 30, 0 = 5*m + f + 30. Let b = 16 + m. What is the tens digit of b?
1
Let i be ((-5)/15)/(1/(-9)). Suppose 0 = 2*y - 17 + i. Suppose -5*d + 4*f = -13, -d + 4*f = y - 0. What is the units digit of d?
5
Let q = -2241 - -4467. What is the tens digit of q?
2
Suppose 2*l = 7*l - 5*u - 15, 1 = 3*l + 5*u. Suppose 146 = 3*x - t, l*t - 94 = -2*x + t. What is the tens digit of x?
4
Let l(p) = p + 8. Let d be l(-6). Suppose -5 + d = -g. Suppose -g*k = -9, 8 = 2*c - c - 4*k. What is the units digit of c?
0
What is the hundreds digit of 2302 + 6 + -9 + -6?
2
Let x(r) = 7*r**2 + 0*r + r - 5 + 0*r**2 + 2*r. What is the units digit of x(3)?
7
Suppose -241 = -a - 5*m, -m + 4*m = -2*a + 461. Let g = 326 - a. What is the units digit of g?
0
Suppose -9*y + 36 = -0*y. Suppose 0*b - 3*i - 40 = -b, 245 = y*b + 5*i. What is the tens digit of b?
5
Suppose 4*t + 2*b = 338, -t - 3*b - 9 + 86 = 0. What is the tens digit of t?
8
Let a(o) = 26*o + 27. What is the units digit of a(16)?
3
Suppose 188 = -u + 2*u + 2*g, -4*u - g = -780. What is the hundreds digit of u?
1
What is the units digit of 6*61 + (-14)/(-2)?
3
Let q(k) = k**2 - 4*k + 6. Let c be q(3). Suppose 2*w + c*w = 55. Suppose h + w - 41 = 0. What is the units digit of h?
0
Let v(h) = 25*h**2 + 217*h - 224*h - 2 + 2*h**2. What is the units digit of v(-3)?
2
Suppose 6 = 2*t - 0*t. Suppose -33 = -3*n - t*y, n + 0 = y + 1. Let p(g) = g**3 - 6*g**2 + 4*g + 7. What is the units digit of p(n)?
1
Suppose -5*b + 2*y = -3*y + 10, 5*y = 4*b + 11. Suppose -2*u - b = -h - 2, 0 = 2*u + 5*h - 31. What is the units digit of u?
3
Let o(i) = 87*i + 40. What is the hundreds digit of o(8)?
7
Let m(w) = -2*w**3 + 3*w**2 - 10*w - 7. What is the units digit of m(-5)?
8
Suppose 4*k + 8 + 24 = 0. Let w(p) be the second derivative of p**5/20 + 3*p**4/4 + 7*p**3/6 - 3*p**2/2 - 9*p. What is the units digit of w(k)?
5
Let r = 25 - 16. Suppose -u = r - 15. Suppose -u*b + 66 = -0*b. What is the units digit of b?
1
Let a = -28 + 37. Suppose 282 = -a*j + 1272. What is the tens digit of j?
1
Let l(v) = -v**2 + 7*v - 14. Let q be l(6). Let n = q - -24. What is the units digit of n?
6
Let s(o) = -2*o**3 + 34*o**2 - 16*o - 5. What is the units digit of s(5)?
5
Suppose 5*d = -5*d + 50. Suppose 2*v - d*u = -3*v + 95, 10 = -2*u. What is the units digit of v?
4
Suppose 0 = 3579*z - 3572*z - 16044. What is the tens digit of z?
9
Let q(f) = 3*f + 27. Let y be q(-10). Let z(x) = 18*x**2 + x - 7. What is the tens digit of z(y)?
5
Suppose 0 = -0*m + 2*m - 6. Suppose -m*i - 45 = 15. What is the units digit of (16/i)/1*-15?
2
Let r be 2/3 + (-16240)/(-30). Suppose 0 = -5*k + r + 178. What is the units digit of k?
4
Let q(c) = -c**3 - 8*c**2 + 9*c - 5. Let x be q(-7). Let p = 195 + x. What is the units digit of p?
8
Suppose 5*x - 480 = 5. Suppose 6*s - x = 5*s. What is the tens digit of s?
9
Suppose 15 = p + 3*n, n + n = 4*p - 18. Let z(u) = u**2 + 4*u + 3. What is the units digit of z(p)?
3
Suppose -4*d + 3 = -9. Let m be -4 + d*2/3. What is the units digit of -2 + (-2)/m - -26?
5
Suppose 8*x = -0 + 16. Suppose 2*c - 2*f - 28 = 16, x*c + 5*f = 37. What is the units digit of c?
1
Suppose -6*y + 8*y = 5*v - 8312, v = 4*y + 1648. What is the units digit of v?
4
Let w be ((-2)/3)/((-8)/48). Let v be -51*(-14)/24*4 + -4. Suppose -v = -w*c - 43. What is the tens digit of c?
1
Suppose 4*c = 27 + 17. Let x = 8 + c. Let s = -6 + x. What is the tens digit of s?
1
Let v = 128 + -123. Suppose 0*j + 1120 = v*q + 5*j, 5*j - 240 = -q. What is the tens digit of q?
2
Let u = 21 + -56. Let h = u + 74. What is the units digit of h?
9
Let h = 96 + -92. Suppose 0 = 5*j - 3*c - 288 - 462, 0 = -h*j - 3*c + 600. What is the units digit of j?
0
What is the units digit of (104/(-14))/(50/(-36925))?
6
Suppose 4*f - 12 = 0, 6*t - 9*t + 3*f = -12315. What is the hundreds digit of t?
1
Suppose 0 = -2*d - 3*l + 16, 3*d - 3*l = -8 + 2. Suppose 63 = 3*i - 3*m, i = d*i - 2*m - 17. What is the units digit of i?
5
Let f = 4 - -8. Let p be f/(-42) - 116/(-14). Let y = 26 - p. What is the tens digit of y?
1
Let c(g) = -g**3 + 9*g**2 + 21*g - 26. Suppose 0*b + 4*b + 4*o = 20, 60 = 4*b - 4*o. What is the units digit of c(b)?
4
Suppose -4*h + p + 1961 = 0, -2*p + 163 + 334 = h. What is the hundreds digit of h?
4
What is the hundreds digit of 5 + 387/(-81) + 8564/18?
4
Let x(a) = -a**3 + 5*a**2 + 3*a - 7. Let i(s) = -s**3 + s + 2. Let y be i(-2). Let j be 5*-1*(y - 9). What is the units digit of x(j)?
8
What is the tens digit of 12*4/(-8) - -243?
3
Let i(j) = -j**3 - 7*j**2 + 6*j - 4. Let s be i(-7). Let r = -2 - s. What is the units digit of r?
4
What is the units digit of 14/21 - 3712/(-12)?
0
Let m(l) = 3*l**2 - 2 + 1039*l - 4*l**2 - 1037*l + 4 - 4*l**3. Let w = 0 + -1. What is the units digit of m(w)?
3
Let o(f) = -26*f + 1. Let j be o(-1). Let t(m) = m**3 + 15*m**2 - 35*m + 24. Let k be t(-17). Let r = k - j. What is the units digit of r?
4
Suppose -h = 0, 3 = -0*g - 3*g - 4*h. What is the hundreds digit of g/2 - (-2490)/20?
1
Let y(b) = -b**3 - 8*b**2 - b + 14. Let v be (9/4)/((-4)/16). What is the tens digit of y(v)?
0
What is the tens digit of 1/1 + 390 - -6?
9
Let x be 7 + 0 + -1 + 0/2. Suppose x*k - 1380 = -6*k. What is the hundreds digit of k?
1
Let n(f) = 6*f**3 + 9*f**2 - 6*f - 8. What is the tens digit of n(6)?
7
Suppose -5*h + 2*r = -5109, -4*h + 6*r + 4082 = 7*r. What is the units digit of h?
1
Let v(o) = -2*o - 8. Let s be v(4). What is the units digit of 12/(-10)*(s + -129)?
4
Let f be 422/6 - (-4)/6. Suppose -3*s - 174 = 4*w, 0*s = 5*w + s + 212. Let i = w + f. What is the units digit of i?
9
Let f(g) = -g + 10. Let v be f(6). Suppose -b = 3*q - 3 + v, -q + 1 = b. Suppose b*n = 4*w - 62, -w - n + 8 = -4*n. What is the tens digit of w?
1
Let n = -619 - -1843. What is the units digit of n?
4
Let l be 8/12 - 176/12. Let x be 128/(l/3 - -4). What is the units digit of ((-2)/(-3))/((-16)/x)?
8
Let z(x) = -x**2 + 7*x + 7. Let q be z(8). Let v be (((-4)/q)/4)/1. Let i(o) = 46*o**3 - o**2 + 1. What is the units digit of i(v)?
6
Suppose -4*f + 5*y + 170 = f, 2*y - 34 = -f. Let w = 15 + f. What is the tens digit of w?
4
Let x(b) = 7*b + 11*b - 8*b + 8*b + 5. Let a be x(11). Suppose 5*d = -4*i + a, -3*i = -d - 6 - 151. What is the tens digit of i?
5
Suppose 5*x = -4*t + 1063, 2*x = -5*t + 1459 - 143. What is the tens digit of t?
6
Suppose 3*g + 3*i - 207 = 0, 0 = 5*g + 3*i - 5*i - 310. Let v = g + -56. What is the units digit of v?
8
Let p = -2198 + 4508. What is the tens digit of p?
1
Suppose -1029 = -6*x + 1161. What is the units digit of x?
5
Let b be 2/4*1*6. Suppose -4*g - 5*f - 5 = -1, b*g + 5*f = -8. Suppose 72 - g = 4*h. What is the units digit of h?
7
Suppose 5*c + 5*n = 0, 2*c = 4*c - 2*n + 12. Let o be -41 - (-3 - c)*1. Let b = o + 63. What is the units digit of b?
2
Let k(n) = 876*n**2 - 109*n - 212. What is the units digit of k(-2)?
0
Suppose 9*u + 44 = 13*u. Let j = 59 + u. Let m = -21 + j. What is the tens digit of m?
4
Let k = 131 + -142. Let x(w) = 2*w**2 - 7*w - 36. What is the tens digit of x(k)?
8
Let n = 33 + 189. What is the tens digit of n?
2
Suppose z - 8 = -4*l, -z + 0*l - 10 = -5*l. Suppose 3*u + 159 - 783 = z. What is the hundreds digit of u?
2
Suppose -4*n + 2*w = -378, -4*n + 2*w - w = -377. Let g = n + -15. What is the tens digit of g?
7
Let q(b) = b**2 + 44*b + 19. Let l(s) = -2*s**2 - 44*s - 18. Let k(p) = -4*l(p) - 3*q(p). What is the units digit of k(-11)?
6
Suppose -2*j = -j - 3*g + 4, -17 = -4*j + g. Suppose -j*h - x = -6*x - 580, 0 = -h - x + 108. What is the units digit of h?
2
Suppose 24 = 4*j + 4*f, j + 3*f - 5 = 5. Suppose j*o + x + 25 = -0*x, -5 = -2*o + 3*x. Let b = 9 + o. What is the units digit of b?
4
Let m(a) = 157*a + 17. What is the hundreds digit of m(4)?
6
L
|
{
"pile_set_name": "DM Mathematics"
}
|
*z - 2*z**2 - 22.
-2*(z + 5)**2
Factor 5*q**3 - q**3 - 7*q**3 + q**3.
-2*q**3
Let d(u) be the second derivative of -u**6/120 - 3*u**5/40 - 5*u**4/48 + 34*u. Factor d(x).
-x**2*(x + 1)*(x + 5)/4
Let i be 117/(-15) - (0 + -8). Let i*l**2 - 2/5*l - 3/5 = 0. What is l?
-1, 3
Let w be (-12)/18 + 6/9. Let l(c) be the third derivative of w - 1/60*c**6 + 0*c**3 + 1/60*c**5 - c**2 + 0*c + 1/210*c**7 + 0*c**4. Find f such that l(f) = 0.
0, 1
Let h(r) be the third derivative of r**8/2520 + r**7/1260 - r**6/270 + 2*r**3/3 - 4*r**2. Let d(g) be the first derivative of h(g). Factor d(w).
2*w**2*(w - 1)*(w + 2)/3
Let g be 0 + (2 + -1)*3. Let j = -104 + 107. Factor g*h**3 - j - 1 - 4*h - 2*h - h**3.
2*(h - 2)*(h + 1)**2
Suppose -1 = j - 0, -5*j = 5*d - 5. Let q(t) be the second derivative of -d*t + 0 - 1/18*t**4 + 1/6*t**2 - 1/18*t**3. Determine k so that q(k) = 0.
-1, 1/2
Let k(u) = -5*u**2 + 6*u. Let r(q) = 11*q**2 - 12*q. Let s = -9 - -11. Let p(o) = s*r(o) + 5*k(o). Solve p(y) = 0.
0, 2
Factor -9/5*a + 6/5*a**3 + 6/5*a**2 + 3/5*a**5 - 9/5*a**4 + 3/5.
3*(a - 1)**4*(a + 1)/5
Let q be (-24 - -1)/((-5)/(-25)). Let n be 2/(-7) - q/35. Factor 2/7*g**5 + 0*g + 16/7*g**n - 10/7*g**4 + 0 - 8/7*g**2.
2*g**2*(g - 2)**2*(g - 1)/7
Let m be 1 + 0 + 1 - 0. Factor 0*a**2 + 4*a**m - 2*a**2.
2*a**2
Let t = 12 + -10. Let s(m) be the second derivative of 0*m**2 + 0 - 1/20*m**5 + 1/90*m**6 + 1/12*m**4 - 1/18*m**3 - t*m. Determine i so that s(i) = 0.
0, 1
Suppose 3*m + 0*m - 36 = 0. Factor -1 + 6*l - 2*l**3 + m*l**3 - 6*l**2 - 6*l**2 - 3*l**4.
-(l - 1)**3*(3*l - 1)
Let r(n) be the second derivative of 3*n**5/20 + n**4/4 - n**3 - 14*n. Factor r(t).
3*t*(t - 1)*(t + 2)
Suppose 3 = -c + 5*h - 4*h, 0 = 5*c + h - 15. Let n(b) be the third derivative of 0*b**5 - 1/108*b**4 - 3*b**c + 0 + 0*b + 0*b**3 + 1/540*b**6. Factor n(l).
2*l*(l - 1)*(l + 1)/9
Let o(z) be the third derivative of -z**5/60 + z**3/6 + z**2. Suppose o(a) = 0. Calculate a.
-1, 1
Let n(m) = -m**2 + 3*m + 1. Let b be 33/6 - 2/4. Suppose b*z + 16 = -19. Let k(o) = -2*o**2 + 6*o + 3. Let f(j) = z*n(j) + 3*k(j). Let f(g) = 0. What is g?
1, 2
Solve 6/5 - 17/5*c + 11/5*c**2 = 0.
6/11, 1
Let p(x) = x**2 - 1. Let t be p(1). Suppose t = 4*d + 20, -3*m + m - 21 = 5*d. Find k such that k**3 + 4 + 9*k**3 + m*k - 6*k**2 - 10*k**2 = 0.
-2/5, 1
Let t(y) be the first derivative of -y**6/90 + y**4/18 - y**2/6 + 3*y - 2. Let u(r) be the first derivative of t(r). Factor u(j).
-(j - 1)**2*(j + 1)**2/3
Suppose 4*u + 25 = -u. Let p(o) = 9*o**3 + 2*o**2. Let d(c) = -6*c**3 - c**2. Let y(z) = u*p(z) - 7*d(z). What is h in y(h) = 0?
-1, 0
Let f(c) be the first derivative of 0*c**2 + 1/12*c**4 + 0*c**3 + 1/15*c**5 - 1 + 0*c. Solve f(j) = 0.
-1, 0
Factor 4/7*z**4 + 0*z + 0 - 2/7*z**5 - 2/7*z**3 + 0*z**2.
-2*z**3*(z - 1)**2/7
Let n(r) be the second derivative of r**5/35 + r**4/7 - 4*r**3/7 - 16*r**2/7 + 21*r. Factor n(j).
4*(j - 2)*(j + 1)*(j + 4)/7
Let q be 3/(0 - 3/4). Let k = -1 - q. Factor -t**5 + 2*t**2 - t**5 - 4*t**3 + 6*t**k - 2*t**4.
-2*t**2*(t - 1)*(t + 1)**2
Factor 8*d - 2*d**3 + 8 + 0 + 174*d**2 - 176*d**2.
-2*(d - 2)*(d + 1)*(d + 2)
Let y(l) = -3*l**2 + 21*l + 3. Let v be y(7). Factor v*t + 6*t**3 - 3/2*t**4 - 15/2*t**2 + 0.
-3*t*(t - 2)*(t - 1)**2/2
Let p(g) = g**3 - 10*g**2 - g + 14. Let y be p(10). Let u be y/(-10) + 72/105. Factor -4/7*d**3 + 2/7*d + 0 + u*d**2.
-2*d*(d - 1)*(2*d + 1)/7
Suppose 2 + 4 = -3*c. Let h(k) = -3*k - 1. Let r be h(c). Solve -r*l**2 + 3*l**2 - 4*l + 0*l**2 = 0 for l.
-2, 0
Suppose v = -4*s - 19 + 1, 2*v + 3*s = -11. Determine w, given that 9 - 12 + 2*w**4 - v*w**3 + 3 - 4*w**2 = 0.
-1, 0, 2
Let w(k) be the first derivative of 8*k**5/5 + 43*k**4/10 + 16*k**3/5 - k**2/5 - 4*k/5 + 7. Determine d so that w(d) = 0.
-1, -2/5, 1/4
Let j(s) be the first derivative of -s**7/840 + s**6/180 - s**5/120 - s**3 + 2. Let y(g) be the third derivative of j(g). Factor y(r).
-r*(r - 1)**2
Suppose -17*b - 3*b = 0. Factor -3/4*s**3 + b*s + 3/2*s**2 + 0.
-3*s**2*(s - 2)/4
Let o(v) be the third derivative of 0 + 0*v**6 + 0*v + 0*v**3 - 1/735*v**7 + 0*v**5 + 4*v**2 + 0*v**4. Suppose o(j) = 0. Calculate j.
0
Suppose 9/7*m + 30/7 - 3/7*m**2 = 0. Calculate m.
-2, 5
Let q = 5 + -4. Let l be 0 - q - (-12)/3. Determine r, given that 2*r**4 + 0*r**2 - 8/5*r**5 + 0*r + 0 - 2/5*r**l = 0.
0, 1/4, 1
Let z(k) be the first derivative of -k**5/30 + k**4/6 - 7*k**2/2 - 7. Let m(p) be the second derivative of z(p). What is t in m(t) = 0?
0, 2
Factor 0*z**2 + 3*z**2 + 16*z - 7*z**2.
-4*z*(z - 4)
Let u = -7/30 + 26/15. Solve 1/2 + u*x**2 - 1/2*x**3 - 3/2*x = 0 for x.
1
Let w be ((-2)/4)/(3/(-12)). Let u = w + 0. What is a in 1/3*a**u + 1/3*a - 1/3*a**4 + 0 - 1/3*a**3 = 0?
-1, 0, 1
Let d(x) be the first derivative of -x**7/2520 + x**6/360 - x**4/18 - 2*x**3/3 + 4. Let q(o) be the third derivative of d(o). Suppose q(v) = 0. Calculate v.
-1, 2
Let 2*j - 6*j - 7*j**3 + 6*j**2 + 5*j**3 = 0. What is j?
0, 1, 2
Let v be (-21)/28*16/(-18). Solve 0 + 1/3*d + 1/3*d**3 + v*d**2 = 0 for d.
-1, 0
Let j(u) be the first derivative of -u**6/120 - u**5/30 + u**4/8 - u**2/2 - 6. Let m(p) be the second derivative of j(p). Factor m(n).
-n*(n - 1)*(n + 3)
Find m such that 12 + 20*m**3 - 30*m**2 - 22 - 35*m + 15*m**5 + 0 + 40*m**4 = 0.
-1, -2/3, 1
Let r(n) = -n**2 - 11*n - 10. Suppose -v + 4*w = 6, 48 = v - 6*v + 2*w. Let d be r(v). Factor 0*t**2 + d*t + 0 + 0*t**3 - 1/4*t**4.
-t**4/4
Let c(z) be the third derivative of z**6/300 + z**5/75 + z**4/60 + 2*z**2. Find g such that c(g) = 0.
-1, 0
Suppose 2*q - 16 = -6. Determine c, given that -5*c**4 - 12*c**2 + 8*c**3 + 2*c + c + q*c - 2 + 3*c**4 = 0.
1
Let w = 68 + -407/6. Let d(h) be the second derivative of 0*h**2 + h - w*h**3 + 1/30*h**6 + 0 - 1/12*h**4 + 1/20*h**5. Determine u, given that d(u) = 0.
-1, 0, 1
Let d(u) = u**3 - 25*u**2 - 3*u + 77. Let t be d(25). What is k in -3/2*k**t + 0*k**3 + 0 + 9/2*k**4 + 0*k + 3*k**5 = 0?
-1, 0, 1/2
Let f(l) = 17*l**2 - 7*l + 8. Let c(x) be the third derivative of x**5/15 - x**4/12 + x**3/3 + 2*x**2. Let k(v) = -9*c(v) + 2*f(v). Factor k(o).
-2*(o - 1)**2
Let v(u) be the second derivative of u**4/36 + u**3/9 + u**2/6 - 5*u. Let v(q) = 0. Calculate q.
-1
Factor 4*w**4 + 52*w**2 + 16 - 21*w - 27*w - 12*w**3 + 7*w**3 - 19*w**3.
4*(w - 2)**2*(w - 1)**2
Let b be 2*(-3 + 1) + 2. Let y be 2 + -3 + (b - -6). Let -1/2*i**4 + 1/2*i + 1/2*i**2 + 0 - 1/2*i**y = 0. Calculate i.
-1, 0, 1
Let j(r) be the first derivative of -2/5*r**2 + 2/15*r**3 + 2 + 0*r. Factor j(z).
2*z*(z - 2)/5
Solve 0*b + 34*b**2 - 4*b - 30*b**2 = 0.
0, 1
Let o(l) be the first derivative of -l**7/105 - l**6/30 + l**5/30 + l**4/6 - l**2/2 + 3. Let p(m) be the second derivative of o(m). Solve p(w) = 0.
-2, -1, 0, 1
Let h(a) be the second derivative of 0 + 0*a**2 - 1/36*a**4 - 1/9*a**3 + 2*a. What is f in h(f) = 0?
-2, 0
Let f = -537/187 - -55/17. Solve 0 + 2/11*y**2 + f*y = 0.
-2, 0
Suppose -i - 4 + 3 = 0. Let t be (i/10)/((-3)/12). Factor t - 4/5*u - 6/5*u**2.
-2*(u + 1)*(3*u - 1)/5
Let i(m) = 23*m**5 + 87*m**4 + 14*m**3 - 104*m**2 - 20*m + 4. Let w(k) = k**5 + k**3 - k**2 - k - 1. Let f(s) = i(s) + 4*w(s). Suppose f(x) = 0. Calculate x.
-2, -2/9, 0, 1
Let k(u) be the first derivative of 0*u**4 + 0*u + 1/12*u**3 - 1/2*u**2 - 1/120*u**5 - 4. Let g(n) be the second derivative of k(n). Factor g(l).
-(l - 1)*(l + 1)/2
Let j = 3 - 1. Let w be (18/15)/(6/20). Solve 0*y - 49/2*y**5 - j*y**3 + 14*y**w + 0*y**2 + 0 = 0.
0, 2/7
Let m(u) be the second derivative of u**7/5040 + u**6/720 + u**5/240 - u**4/2 - 5*u. Let o(t) be the third derivative of m(t). Find v, given that o(v) = 0.
-1
Let m be 0/2 - ((-220)/35 + 6). Solve m + 0*q - 2/7*q**2 = 0.
-1, 1
Suppose -3*m = 49 - 58. Find b, given that -1/3*b**m - 1/3 + 1/3*b**2 + 1/3*b = 0.
-1, 1
What is s in 10 - 33*s**2 + 5*s**5 - 2*s + 10*s - 20*s**3 + 7*s + 23*s**2 = 0?
-1, 1, 2
Suppose -3*v + 12 = v. Solve -12*g - 2*g**2 - 5*g**2 + v*g**2 = 0.
-3, 0
Factor -36/7*r - 2/7*r**2 - 162/7.
-2*(r + 9)**2/7
Let l(x) = -7*x**2 + 5*x. Let s(z) = z**2 - z + 1. Let p(w) = -l(w) - 6*s(w). Find k, given that p(k) = 0.
-3, 2
Let d be (-171)/10 + 2/4. Let p = d + 17. Factor -2/5*t**4 - 2/5*t**5 + 0 + p*t**3 + 2/5*t**2 + 0*t.
-2*t**2*(t - 1)*(t + 1)**2/5
Let r be (-5 + 3/1)*2. Let k be (2/(-6)*r)/
|
{
"pile_set_name": "DM Mathematics"
}
|
-312 or -2?
-2
Is 573 greater than 573?
False
Which is greater: -1 or -1/1063?
-1/1063
Which is smaller: 201/2 or 100?
100
Is -6/4045 greater than 2/3?
False
Which is greater: 155 or 309/2?
155
Is 27/19 smaller than 0.3?
False
Is 0.08 at least 16?
False
Are -472 and 1 equal?
False
Is -15/2056 smaller than 1?
True
Are -24 and -16 equal?
False
Is 1/1557 smaller than 0?
False
Which is greater: 1 or -16/147?
1
Are -1 and 2/959 equal?
False
Do -3266 and -3266 have the same value?
True
Are 72 and -5 non-equal?
True
Which is smaller: 849 or 0.05?
0.05
Do 1870 and 1875 have different values?
True
Which is bigger: -3894 or -3901?
-3894
Is 41/2 at most -0.56?
False
Is -7 greater than -15?
True
Which is bigger: 2/115 or -5?
2/115
Is -140 equal to -142?
False
Is -15 greater than -14?
False
Is 873 >= 3497/4?
False
Which is smaller: 217 or 1?
1
Is 5/2 greater than 171?
False
Which is smaller: 772/21 or 37?
772/21
Is -114 > -340/3?
False
Which is smaller: 9 or 5?
5
Which is bigger: -676 or -678?
-676
Are 10363/3 and 3455 equal?
False
Is 110 at most as big as 112?
True
Is 26752 < 26753?
True
Which is bigger: 0 or -29/95?
0
Are 24 and 28 non-equal?
True
Which is greater: 0.02 or -41?
0.02
Is 374 equal to 372?
False
Are -7 and -14/5 nonequal?
True
Which is smaller: -2 or -4772?
-4772
Which is bigger: 12702 or 12704?
12704
Is -7 > -0.25?
False
Is 23/83 > -1?
True
Which is greater: -125/304 or 1?
1
Is 347/5 smaller than -0.2?
False
Which is smaller: 1 or 17/786?
17/786
Is 1096 <= 4379/4?
False
Which is smaller: -13351 or -13350?
-13351
Which is smaller: 0 or 54?
0
Is -5 greater than or equal to -1096?
True
Is -1034 smaller than -2?
True
Which is smaller: 2 or 7.889?
2
Is 13 at most 15?
True
Is 0 bigger than -46/145?
True
Is 3 greater than -1/271?
True
Which is greater: 0.5 or -103?
0.5
Are 4363 and 4365 nonequal?
True
Which is smaller: 0 or 2/1837?
0
Is -2/3573 equal to 1?
False
Are 9270 and 9269 unequal?
True
Which is greater: -33 or -35?
-33
Is 74 at most 71?
False
Which is smaller: -20696 or 0.1?
-20696
Are 0 and -11/263 non-equal?
True
Is -4169 bigger than -4169?
False
Which is smaller: -523/2 or -261?
-523/2
Which is bigger: 30.8 or 2?
30.8
Which is greater: -0.3 or 1/199?
1/199
Which is smaller: -77 or -1/6?
-77
Which is bigger: 4 or -25?
4
Which is smaller: 1954 or 13674/7?
13674/7
Which is smaller: 69 or 19?
19
Which is bigger: 80 or 88?
88
Which is bigger: 1 or 3/25774?
1
Is -12 > 6?
False
Which is smaller: 1 or 97/7?
1
Is 3.2 less than or equal to 23/4?
True
Is -18517 < -18517?
False
Do 0.2 and -4387 have different values?
True
Which is smaller: -1 or 18889?
-1
Which is bigger: 3 or 1.2?
3
Which is smaller: 15603 or 15601?
15601
Is -24166/7 less than -3452?
True
Is 12/17 != 0?
True
Which is smaller: -43 or -31?
-43
Which is bigger: 45/8 or 1?
45/8
Is 263 smaller than 254?
False
Do 9675 and 9675 have different values?
False
Which is greater: -2/15 or 65?
65
Is 70 greater than or equal to 72?
False
Is 1 smaller than -6/18145?
False
Do -31 and -31 have different values?
False
Which is smaller: 12 or 92?
12
Which is smaller: -44/7 or 0.38?
-44/7
Which is smaller: 2353/6 or 393?
2353/6
Which is smaller: 1725/26 or 65?
65
Is 16896 at least as big as 16896?
True
Are -19 and -7/5 nonequal?
True
Are 1 and 1/22181 non-equal?
True
Which is smaller: -3 or -1582?
-1582
Are 6/59 and -0.1 equal?
False
Which is greater: -8/35 or 39?
39
Which is smaller: 0 or 3/92?
0
Which is bigger: -1 or -2/2687?
-2/2687
Which is smaller: -30 or 0?
-30
Which is smaller: 127/27 or 5?
127/27
Which is bigger: -45 or -177/4?
-177/4
Is -2/4599 greater than or equal to 0?
False
Do -1/398 and 0.1 have different values?
True
Which is smaller: 1/2311 or -1?
-1
Which is greater: 130 or 23?
130
Is -3603 >= -3602?
False
Which is smaller: -1 or -1/1013?
-1
Which is bigger: 248 or 249?
249
Which is smaller: -3/1670 or 1?
-3/1670
Which is smaller: 0 or 2/825?
0
Is 1 bigger than -85?
True
Is -191 at least as big as 4/7?
False
Does -1649 = -1649?
True
Which is smaller: -0.1 or -3.98?
-3.98
Which is bigger: 0 or 3/79?
3/79
Which is smaller: 8422/13 or 648?
8422/13
Is -116 at least as big as 5?
False
Is 23.4 > -1?
True
Which is greater: 60 or -15?
60
Is -2.1 at most as big as -444?
False
Is 3 < -189?
False
Which is smaller: 0 or -27/91?
-27/91
Is -783 != -3922/5?
True
Is 0.06 < 35/2?
True
Is 10691 bigger than 10690?
True
Is 2857 > 2856?
True
Which is smaller: -10079/4 or -2519?
-10079/4
Which is bigger: 5/4 or 10?
10
Which is greater: -14/117 or 1?
1
Is 36 > 41?
False
Which is greater: -9 or -53/6?
-53/6
Are -1 and -203 nonequal?
True
Is 190 bigger than 189?
True
Which is smaller: -239 or -258?
-258
Is 2/19 at most -200?
False
Which is greater: 89 or 88?
89
Which is greater: -1.3 or 0.02?
0.02
Is -13307 bigger than -13308?
True
Which is bigger: 1 or -1/383?
1
Is 1/9374 greater than 0?
True
Which is greater: 1 or 1/1495?
1
Do 35 and 21 have the same value?
False
Which is smaller: -35 or -2/123?
-35
Is 8/3 greater than 2?
True
Which is smaller: -137 or 90?
-137
Which is bigger: -0.08 or -32/19?
-0.08
Which is greater: -31/6 or -6?
-31/6
Which is bigger: -2/657 or -3?
-2/657
Which is bigger: -149 or -150?
-149
Is -1615 > 3?
False
Which is bigger: -2/7 or -1/959?
-1/959
Which is bigger: -1/28 or 5/3?
5/3
Which is smaller: -13 or -29?
-29
Is -10 at least as big as -140/13?
True
Is 32 smaller than 41?
True
Is 167 at most 5?
False
Are -73 and -2.9 equal?
False
Which is bigger: -7 or -10?
-7
Is 5708 at most 5710?
True
Is -17 > -17?
False
Is -8/465 > 1?
False
Which is smaller: 846 or 847?
846
Which is smaller: 1/4 or 2/99?
2/99
Which is bigger: 2018 or 2019?
2019
Which is bigger: 4142 or 4146?
4146
Which is smaller: -1 or 4/299?
-1
Which is greater: -1 or -5498?
-1
Is -14606 at least as big as -14607?
True
Is 139 less than or equal to 134?
False
Which is smaller: 76 or 65?
65
Is 12/179 at most as big as 1?
True
Which is bigger: 1471 or -2?
1471
Is 300 at least 295?
True
Does -1729 = -1729?
True
Which is smaller: -4950 or -4951?
-4951
Which is bigger: 523/7 or 75?
75
Which is bigger: -27 or -346/13?
-346/13
Do -622 and -622 have the same value?
True
Which is greater: -439 or -441?
-439
Are 30 and 9 equal?
False
Is -234 smaller than -6?
True
Which is smaller: 4/2615 or 1?
4/2615
Is -63 > -63?
False
Are 6308 and 6309 unequal?
True
Which is smaller: -1114 or -1112?
-1114
Is -1345 at most -1343?
True
Are 334 and 333 unequal?
True
Which is smaller: -30803 or -30801?
-30803
Is 113 greater than or equal to 113?
True
Which is bigger: 123 or 124?
124
Is 0 < 10/157?
True
Which is greater: 324 or -1.1?
324
Is 1 smaller than 0.29?
False
Is -3673 at most -1?
True
Is -1030 > -1032?
True
Is 0.1 at most as big as -0.0746?
False
Are 1157 and 1156 unequal?
True
Is 2/265 not equal to 1/3?
True
Is -2 less than -60/73?
True
Is -3 <= 65?
True
Which is smaller: -102 or -108?
-108
Which is smaller: -9/35 or 0?
-9/35
Which is smaller: 18 or 9?
9
Is 8 less than 4/629?
False
Is -1 <= 2/5353?
True
Which is bigger: -162 or -164?
-162
Do 936 and 932 have different values?
True
Which is smaller: 8754/25 or 351?
8754/25
Which is greater: -4 or -3871?
-4
Is 54/139 <= 0?
False
Which is smaller: 0.1 or -448?
-448
Which is smaller: -130 or 5?
-130
Which is smaller: -0.013 or -0.095?
-0.095
Which is greater: -38 or -1.2?
-1.2
Which is greater: 13.3 or -1/5?
13.3
Which is smaller: -65 or -50?
-65
Is 1 != 15/97?
True
Which is greater: -6026/7 or -862?
-6026/7
Are 11 and -10 non-equal?
True
Which is smaller: 39 or 40?
39
Which is smaller: -3/3074 or 1?
-3/3074
Which is greater: 0 or 24/109?
24/109
Which is smaller: 3146 or 3148?
3146
Which is bigger: -0.1 or -149?
-0.1
Is 1 < 327/185?
True
Is -2 greater than or equal to 30/7?
False
Which is smaller: -5/1209 or 0?
-5/1209
Do -38/11 and 0 have the same value?
False
Which is bigger: -20/19 or -4?
-20/19
Which is greater: 0 or -13.9?
0
Which is bigger: 4 or -25?
4
Is 65 > 0?
True
Are 592 and 591 unequal?
True
Which is greater: 5/5552 or 1?
1
Which is bigger: -2 or -139/187?
-139/187
Is -6 at most 15?
True
Is -48 not equal to 12?
True
Are 49305 and 49304 non-equal?
True
Is -4455 at least -4453?
False
Is -0.451 > -1?
True
Is 0.17 greater than -11?
True
Is -205 equal to 7?
False
Which is greater: -11958
|
{
"pile_set_name": "DM Mathematics"
}
|
t and 13.
13
Suppose 31*o + 3*o = -408. Let q be ((-299)/52)/(3/o). What is the highest common factor of 989 and q?
23
Let h = 3481 + -3178. Calculate the greatest common divisor of 1919 and h.
101
Let n be 8/(-6)*(42/(-12) - 1). Let h = -309 + 411. What is the highest common divisor of h and n?
6
Let j(g) = -1700*g - 2200. Let a be j(-8). Calculate the greatest common factor of a and 20.
20
Let g(l) = 6049 - 6290 + 8*l + l + 7*l. Let c be g(17). Calculate the highest common factor of c and 186.
31
Suppose -4*x - 2*d = -72, -5*x - 9*d + 90 = -4*d. Calculate the greatest common divisor of 146 and x.
2
Let s(w) = -84*w + 3532. Let h be s(42). Let r(u) = 2*u**3 - 10*u**2 + 8*u + 4. Let y be r(6). What is the greatest common factor of y and h?
4
Suppose -7*x + 18 = -x. Suppose 0 = -x*o + b + 11, -4*o - 6 + 4 = 2*b. What is the highest common divisor of o and 50?
2
Let j = 5346 - -6643. What is the greatest common divisor of 76 and j?
19
Let h be (-8 + -1)*(-3)/9. Let t(v) = 4*v + 7. Let g be t(-4). Let w = 15 + g. What is the greatest common divisor of w and h?
3
Suppose 92*q - 12847 - 11420 + 9363 = 0. Calculate the greatest common divisor of q and 14013.
81
Suppose -q - i = -17, 2 = -2*i - 6. Let f = q + 53. Suppose 5*x - t - 41 = f, 4*x = -2*t + 106. What is the greatest common factor of x and 72?
24
Suppose -21*p - 825 = -16*p. Let y = -127 - p. What is the highest common factor of y and 133?
19
Suppose 4*y - 3*h - 171 = 63, 2*y + h - 112 = 0. Let d be 1*(0 - 2 - -2). Let k be -3 - (-21 + (d - 1)). Calculate the greatest common divisor of k and y.
19
Suppose 0 = 3*m + 9 - 96. Let g = -12 - -14. Suppose 4*q = -5*k + g*q + 135, k - 2*q = 39. Calculate the greatest common divisor of m and k.
29
Suppose -5*y + 2028 = -2*u - 3926, y = u + 1195. Calculate the highest common divisor of 1080 and y.
108
Suppose 31 = -l - k, 2*l = -4*k + 6*k - 58. Let p = -24 - l. Suppose 8*i - p*i - 24 = 0. What is the greatest common factor of 48 and i?
12
Let v be (53/53)/(2/294). What is the highest common factor of 196 and v?
49
Let w(x) = -x**3 + 11*x**2 - 14*x - 22. Let z be w(7). Let k = -83 + 121. What is the highest common divisor of z and k?
38
Suppose -74*x = -38*x - 46*x + 6150. Calculate the greatest common divisor of 10 and x.
5
Suppose 0 = -781*o + 786*o - 30. Suppose -357 = -o*b + 147. What is the greatest common divisor of b and 108?
12
Let f = 9670 - 9087. Calculate the highest common factor of f and 473.
11
Let u = 846 - 831. Let h be (105/u)/((-1)/(-3)). What is the highest common divisor of h and 3?
3
Let l be (84/(-8) - 13)/((-6)/1488). What is the greatest common divisor of 248 and l?
124
Let p(i) = -4*i - 19. Let q be p(-6). Suppose 4*g + 88 = -q*n, 5*g - 20 = 2*n + 2. Let h = 43 + n. What is the greatest common factor of h and 27?
27
Let u be -5 + (43/2 - (-5)/(-10)). Calculate the highest common factor of 2504 and u.
8
Suppose 15*q - 21*q = -m - 510, -2*q + 170 = 3*m. What is the greatest common divisor of 459 and q?
17
Let n be (-41760)/(-84)*3/6*7. Calculate the greatest common divisor of n and 60.
60
Suppose 257*q - 5079145 = -1283255. Calculate the greatest common factor of 70 and q.
70
Let b = -99 - -136. Suppose b*s - 35*s - 2136 = 0. What is the highest common divisor of s and 12?
12
Let c = 3768 - 3647. Let x(i) = -i**3 - 3*i**2 + 3*i - 2. Let w be x(-6). What is the highest common divisor of w and c?
11
Suppose -150 = -c - 4*s, -4*c + 763 = 3*s + 111. Suppose 0 = 3*x - a - c, -x + 0*a + a = -52. Calculate the highest common factor of 19 and x.
19
Let k(f) = f**2 + f + 3. Let d be k(-2). Suppose -g = -d*g + 16. Suppose -14*s + g*s + 1430 = 0. What is the highest common divisor of s and 13?
13
Suppose -5 = 3*x + 1, 0 = -2*p + 2*x + 1342. What is the greatest common divisor of p and 5575?
223
Let p = -251 - -260. Suppose p*c - 224 = 1801. Calculate the greatest common factor of c and 25.
25
Let b = -142 - -182. Suppose -4*p + 5*v = -394 - 151, -3*p - 3*v + 429 = 0. Calculate the greatest common divisor of b and p.
20
Suppose -4*a - 3*q + 5 = a, 5*q = -2*a - 17. Suppose -a*k - 20 = -260. Let y be 30*(2 - 10/15). What is the highest common factor of k and y?
20
Let n be (2 - 0) + -213*2*4/(-12). What is the highest common factor of n and 372?
12
Let p = 76 + -52. Let d = p + -13. Suppose 3*v - 4*k = 132, 0*k - k + 176 = 4*v. Calculate the greatest common divisor of v and d.
11
Let m(f) = 558*f + 522. Let p(a) = 159*a + 149. Let k(n) = -5*m(n) + 18*p(n). Let t be k(5). Calculate the greatest common factor of 27 and t.
27
Let h be (73 - 16)/19 + 15*9. Calculate the greatest common factor of h and 9.
3
Suppose -3*a + j = -119, 13*a - 5*j = 17*a - 203. Calculate the greatest common divisor of a and 3794.
14
Let v be (-10)/4 - 90/(-36). Suppose -4*u + 30 = -3*p, v = 3*u + 3*p - 7*p - 19. What is the greatest common divisor of 12 and u?
3
Let s = 41155 - 36487. Calculate the highest common divisor of 108 and s.
12
Let s be (170 - 0/1)*192/480. Suppose 92*u = 93*u - s. What is the greatest common factor of u and 238?
34
Suppose -4*h = 7*h - 308. Let r = 82 - 81. Let c be ((5 + -11)*-7)/r. What is the greatest common divisor of c and h?
14
Let t(b) = 2*b**3 + 6*b**2 - 11*b - 7. Let z be t(-4). Suppose 2*h = 4*c + 298, -271 = 3*h - z*h - 5*c. Calculate the greatest common divisor of 11 and h.
11
Let v(o) = -o**2 - 16*o - 27. Let z be v(-14). Let g be z/((-4659)/777 + 6). What is the highest common factor of 37 and g?
37
Let b be 1986 - 110/(-20)*(-12)/11. Calculate the greatest common divisor of 891 and b.
99
Suppose 5*c + 11 = 1, 4*d - 48 = 2*c. Suppose 326*m - 5 = 321*m. Suppose -2*z + d = -m. What is the highest common factor of 66 and z?
6
Let k(r) = r**3 + 6*r + 45. Let l be k(0). Calculate the highest common factor of l and 1404.
9
Let p(k) = 12*k**2 + 4*k - 10. Let u be p(-9). Suppose -5*h + u = -244. What is the highest common divisor of 26 and h?
26
Suppose -5*h = -10, -10*d + 9*d + 438 = -h. What is the highest common factor of 825 and d?
55
Let k = -9926 + 10106. Calculate the highest common factor of k and 195.
15
Let a = -51943 + 53028. Let p = -8 - -43. What is the greatest common factor of p and a?
35
Suppose -3*n + 21 - 222 = 0. Let d(h) = -2*h - 36. Let a be d(-17). Let l = a - n. Calculate the greatest common divisor of 26 and l.
13
Let g(m) = -236 + 10*m + 256 - 5*m. Let u be g(17). What is the greatest common divisor of u and 14?
7
Let i be ((25/20)/(-5))/((-2)/328). Suppose -4*u + 2*o + 172 = 0, 0 = -u + o - 0*o + i. Let b = 34 - 16. What is the greatest common divisor of u and b?
9
Suppose 82295 + 21640 = 15*v. What is the greatest common divisor of 338 and v?
169
Suppose 4*c = -2*c + 12. Suppose 0 = -2*f - c, -3*b - 2*f = -6*f - 79. Calculate the highest common factor of 15 and b.
5
Suppose -2*x - 5*t + 1417 = 404, -4*x = -2*t - 1966. Let f(k) = k**3 + 10*k**2 + 109*k + 938. Let d be f(-9). What is the highest common factor of d and x?
38
Suppose -5*r + 36 = r. Suppose 218 + 16 = r*v. What is the highest common factor of 13 and v?
13
Let k(f) = 64*f + 1360. Let y be k(-19). What is the highest common divisor of y and 3664?
16
Let n = -2825 + 2863. Calculate the highest common divisor of n and 209.
19
Let z be ((-9)/3)/(15/790). Let h = z + 170. Calculate the greatest common divisor of 30 and h.
6
Suppose -3*h + 19 = -17. Let p be ((-432)/(-16))/((-3)/(-2)). Let a(t) = t**2 - 23*t + 150. Let q be a(p). Calculate the highest common divisor of q and h.
12
Suppose -3*j + 68 = -j. Let b = j + -20. Let h(g) = 14*g**3 + g**2 - 3*g + 2. Let w be h(2). Calculate the greatest common divisor of w and b.
14
Suppose 0 = 4*g - 8, -4*m + g + 10 = -0*m. Suppose 15 = 3*l + a, 0*l = -4*l - m*a + 15. Suppose -l*w + 746 = 146. What is the highest common factor of w and 25?
25
Let x = 47315 + -47198. What is the greatest common factor of 975 and x?
39
Suppose 0 = 3*w - 21 - 6. Suppose 456*x - 460*x - 5*f = -66, x - 2*f = -16. What is the highest common divisor of w and x?
1
Suppose 5*c = -5*r + 700, -r + 295 = r + 5*c. Suppose -21*i + 618 = r. What is the greatest common factor of 207 and i?
23
Let q = -367 - -374. Suppose 45 = -q*k + 136. Calculate the greatest common divisor of k and 1339.
13
Let f = -234 - -238. Suppose 94 = 2*i + 12*u -
|
{
"pile_set_name": "DM Mathematics"
}
|
88. Find the common denominator of -61/18 and o.
18
Let l(s) = 3*s - 10. Let n be l(4). Let c(m) = 3*m + 7*m**n - m**2 - m**3 - 5 + 3 - 4. What is the lowest common multiple of c(6) and 14?
84
Suppose n - 74 = -q, q - 2*n = -0*n + 80. Calculate the smallest common multiple of q and 12.
228
Let l(i) = -i + 10. Let k be l(3). Suppose -k + 29 = 2*c. What is the least common multiple of 7 and c?
77
Let z = 2/39479 - -95499693/157916. Let w = z + -625. Find the common denominator of 3/16 and w.
16
Let z(m) = 2*m**3 + 18*m + 0*m**2 - 20*m - 1 - 5*m**2. Calculate the least common multiple of z(3) and 110.
110
Suppose -11 = q - 25. What is the common denominator of 9/(-40)*-86 - q/(-35) and 46/36 + 2/(-2)?
36
Suppose 0 = 5*z - 17 - 3. Suppose -3*s + 19 = 2*s - 3*m, -10 = s + z*m. Let x = 23 - 9. Calculate the lowest common multiple of x and s.
14
Let p = 4 - 0. Let d = -10 - -6. What is the lowest common multiple of p and (3/d)/((-3)/12)?
12
Let d = -8 + 14. Let p(h) = 5*h**2 - 5*h. What is the least common multiple of p(2) and d?
30
Suppose -44 = -6*r - 14. Find the common denominator of 11/(-6) + -2 + 1 and (-1)/r + 2 + 434/(-80).
24
Let s be (-23702)/(-5915) - 4 - (-1 + 1). Let h = 39757/5915 - s. Find the common denominator of h and 41/(-2)*(-2 + 1).
14
Let g be (-3 + 105/25)*5. Suppose 3*z - g + 0 = 0. Suppose -5*k = x + z*x - 10, -3*x - k + 26 = 0. What is the smallest common multiple of 3 and x?
30
Suppose 5*m = 3*k - 4, 3*k = 4*k - 2*m - 1. What is the lowest common multiple of 30 and k?
30
Suppose 4*s + 70 = 218. Suppose -5*n + 4*o - s = -87, 3*o + 20 = 2*n. What is the lowest common multiple of n and 21?
210
Suppose 3*i - 6 = 6*i. Let g be -18*(-2 - i/4). Calculate the common denominator of (-54)/(-8) + g/(-18) and 89/8.
8
Let c = -29873/1476 + -4/369. Find the common denominator of c and 29/718.
1436
Calculate the lowest common multiple of (4/(-18))/(9/(-81)) and 10.
10
What is the least common multiple of 7 + 3/(3/2) and ((-1)/(-2))/(1/16)?
72
Let m = -813727/30 + 27110. Let j = m - -143/6. Calculate the common denominator of j and -3 - -2 - 495/10.
10
Calculate the smallest common multiple of 13 and 78 - ((-1016)/200 + (-6)/(-75)).
1079
Suppose -4 = -5*q - 24, j - 10 = 3*q. Calculate the common denominator of (-47 + 3)/((-85)/(-17)) and j + 4*(-11)/(-7).
35
Let p = -56335 + 1689887/30. What is the common denominator of (-16)/(-9) - (7 + -5) and p?
90
Let a = -12/727 - -99743/8724. Find the common denominator of a and ((-16)/324)/((-4)/78).
108
Suppose 6764 = 2*n - 3*y, 5*n + y - 10157 = 2*n. Let o = -54249/16 + n. What is the common denominator of (2 + 7)/((-40)/(-18)) and o?
80
Suppose -6*m + 15*m = 216. Let n = m - 18. Suppose -11 + 51 = 4*v. What is the smallest common multiple of n and v?
30
Let h(y) = 49*y**2 - 41*y + 11. Let z be h(9). Let o = z - 14517/4. Calculate the common denominator of 29/5 and o.
20
Find the common denominator of (-2)/6 - 20/(-18) and (-4602)/1298 - -1*1.
99
Suppose 2*u = -4*j - 22, -5*u + u - 40 = 4*j. Calculate the least common multiple of (-1 - u)*(-4)/(-8) and 49.
196
What is the lowest common multiple of 61 + 4 - (-30)/6 and 7?
70
Let x(k) = k**2 - 3*k - 25. Let m be x(7). Suppose 0 = 4*d + 8, v + m*d = 2*d + 3. What is the smallest common multiple of 24 and v?
120
Suppose 0 = z - 0*z - r + 15, 4*z + 5*r = -78. Let d = z - -29. What is the common denominator of -41 and 85/(-66) - 2/d?
11
Let x(u) = -3*u**2 + 4*u + 1. Let o be x(-1). Calculate the smallest common multiple of 8 and -3*(5/o)/((-8)/(-16)).
40
Suppose 25*u + 4 = 24*u, -4*u = c - 74. What is the smallest common multiple of 150 and c?
450
Suppose 74 = 5*a - 4*n, -4 = n - 3. Suppose 5*r + 21 = 4*z, -3*z - 4*r + a = 6. Calculate the smallest common multiple of z and 9.
36
Calculate the common denominator of 27/112 and 4/(-48)*(-150)/4.
112
Let v = 355 - 9939/28. Calculate the common denominator of 20/77 and v.
308
Let j = -41 + 44. Calculate the smallest common multiple of 15 and (0 - j) + (-2 + 3)*18.
15
Let m = 2120/63 - 548/21. Calculate the common denominator of m and (1/(-3))/(1/(-25)).
9
Suppose -465 = -97*k + 94*k. Let v = k + -152. What is the lowest common multiple of v and 10?
30
Let f(i) = 4*i**2 + 26*i - 6. What is the least common multiple of 42/8 + (-2)/8 and f(-7)?
40
Let y(v) = -3*v**2 - v - 3*v**3 + 0*v + v**3. Let o be y(-3). What is the common denominator of 132/o*70/(-104) and 41?
26
Let x(n) = 2*n**2 + 8*n + 13. Let g(z) = z**2 + 9*z - 6. Let a be g(-9). What is the common denominator of x(a) and -67/3?
3
Let s be (-4)/(-2) - (10 + 1). Let j(q) = q**2 + 7*q - 10. Calculate the lowest common multiple of j(s) and (-474)/(-24) - -1 - (-6)/(-8).
40
Suppose -2*o - 31*m = -33*m - 24, -2*o + 4*m + 20 = 0. Calculate the smallest common multiple of o and 10.
70
Find the common denominator of -32/669 and (60 + (-3 - -2))*(-73)/876.
2676
Let t = 959/44 - 83/11. Let v = t + -271/12. What is the common denominator of v and -41/3?
3
Suppose -3*x + 5*j + 92 = -162, 0 = 2*x - 3*j - 170. Calculate the smallest common multiple of x and 72.
792
Let h be 14/(-77) - (-326)/(-22). What is the smallest common multiple of 33 and 90*(25/h + 2)?
330
Let w = -3045329273787/89936 - -237027491/7. Let j = w - 1/1168. What is the common denominator of j and -37/70?
770
Suppose -i - 2*i - 20 = 5*d, -2*i - 8 = 2*d. Let y be 105/9 - d/(-6). Let v = 21 - y. Calculate the lowest common multiple of 18 and v.
90
Suppose k = 4*o, -2*k - 3*o = -5*o - 30. What is the smallest common multiple of 45 and k?
180
Let j = 151513/2070 + 83/230. Let p = 5755/72 - j. Find the common denominator of ((-182)/24)/(12/(-8)) and p.
72
Let q = 5 + 13. Suppose 751*l - 749*l = 48. Calculate the lowest common multiple of q and l.
72
Suppose 10 = 5*z, -12 = -v - 2*z - 0. Find the common denominator of (0 + 10/v)*(-29)/5 and -109/6.
12
Let o = 1414 - 1408. What is the least common multiple of 24 and o?
24
Let d(x) = -x**2 - 7*x + 2. Let v be d(-7). Suppose -4*k = -117 + 29. Suppose v = 3*c - k. What is the smallest common multiple of 18 and c?
72
Let p(d) = -7536*d - 266. Let u be p(5). Let w be ((-158)/(-36))/(8/69172). Let i = w + u. Calculate the common denominator of -67/16 and i.
144
Let i = 40 + -41. Find the common denominator of -31/15 and 2 - (1 - i)/((-36)/(-34)).
45
Let y = -8865 - -5716. Let m = -25287/8 - y. What is the common denominator of (218/(-44) + 0)/(-1) and m?
88
Let n be (7/(105/(-10)))/((-3)/36). Let r = -2 + 9. Calculate the least common multiple of r and 44/n*3*2/3.
77
Let y be (-1*1)/((-11)/(-22)). Find the common denominator of 4/33 and ((-20)/3)/(3/y).
99
Let k = 52 + -39. Let w = 33 - k. Calculate the lowest common multiple of 14 and w.
140
What is the common denominator of 77/10 and -5 - 386*4/(-284)?
710
Let t = 379 - 356. What is the lowest common multiple of 2 and t?
46
Let m(w) = -6 - 3*w - 5 + 0*w. Suppose 295*y = 302*y + 49. What is the lowest common multiple of 11 and m(y)?
110
Let g = -18381/2110 + 12/1055. Let i be (1/2)/((-310)/14111). Let d = i - -3/310. Find the common denominator of d and g.
20
Let y be (-1)/(-2) + (-104718)/(-48). Let t = y + -2187. What is the common denominator of t and -29/4?
8
Let b = -126827/18 - -7051. What is the common denominator of -1 + (2 - 4) + (-234)/360 and b?
180
Let m be -2 + (68576/(-26))/2. Let v = m - -17632/13. Let r = -10203/286 + v. Find the common denominator of 89/10 and r.
110
Let a(g) = -2*g**3 - g - 2*g**3 - 7*g**2 + 9 + 4*g**3 - g**3. What is the lowest common multiple of 14 and a(-7)?
112
What is the smallest common multiple of ((3/4)/(19/152))/2 and 24?
24
Calculate the lowest common multiple of (-68)/102 - 1072/(-6) and 4.
356
Calculate the common denominator of 6/(-4) + (-21045)/3294 and (14/4)/((-8)/(-2)).
72
Let k = 15206 + -21395. Let y = k - -61949/10. What is the common denominator of 115/98 and y?
490
Let f = 24 + -45. Let i = -11 - f. What is the lowest common multiple of 76/i - (-18)/45 and 7?
56
Let w = -119368/173 + 690. Let v = w + 3263/2076. Let n = -571/171 - 99/38. What is the common denominator of v and n?
36
Suppose 0 = -g + 3*g + 4. Let r = 14 - g. Let p(q) = -q**2 - 8*q - 2. What is the lowest common multiple of p(-6) and r?
80
Suppose 32*t = 47*t - 135. Calculate the sma
|
{
"pile_set_name": "DM Mathematics"
}
|
0.11 + v. Which is the closest to k? (a) -3 (b) -0.4 (c) 1
b
Let o = -29/11 + 745/99. Let g = 590/117 - o. Which is the closest to 3? (a) g (b) -3 (c) -2
a
Let y be (18/(-15))/((-4)/10). Suppose -k - 140 = y*k. Let s be (-22)/k + 12/(-28). Which is the nearest to -3? (a) s (b) 5 (c) 1/3
a
Let q(l) = l**3 - 10*l**2 - 11*l - 5. Let r be q(11). Let f = 16.7 - 15. Let w = 2 - f. Which is the nearest to w? (a) 1/5 (b) r (c) 2/17
a
Let w be (68/11 - 10) + 4. What is the nearest to -3 in 1, 5, w, -3/8?
-3/8
Let w = 25 - 24.79. Let p = w - 0.31. Which is the closest to p? (a) 5 (b) -0.2 (c) -2/9
b
Let h be -3 + -22*2/(-16). What is the closest to h in 3, -4, 2/69?
2/69
Let s be (15 + -4 - -11)/(-2). What is the nearest to -0.3 in s, -3/5, 1, -0.3?
-0.3
Let b = -0.102 + 0.14. Let h = b + -0.138. What is the nearest to 1 in -2, 4/7, h?
4/7
Let h = 6.5 + -6.6. Let w = -437/6 - -73. Let v = 9 + -14. Which is the nearest to -1? (a) w (b) h (c) v
b
Let a = -67.5 + 63.5. What is the nearest to -1 in -7, a, -0.3?
-0.3
Suppose -20*d = -30 - 30. Suppose -32 = -3*g - 38. What is the closest to 0.05 in g, d, -5?
g
Let j = -35 + -3. Let u = -37.5 - j. Which is the nearest to 0.4? (a) 2/3 (b) u (c) 5
b
Let l = -5.26 + 0.26. Let d = 0.04 - 9.04. Let p = d - -8. Which is the closest to p? (a) 4 (b) -4 (c) l
b
Let i = 293 - 2639/9. Which is the closest to -1/2? (a) -12 (b) i (c) 21
b
Let d = -65 + 61.1. Let z = -0.1 + d. Let v = -56 - -51. Which is the nearest to 2/7? (a) z (b) v (c) 4
c
Let s = -0.1 + 2.1. Let j = -17054 - -17060. What is the closest to 1 in s, j, -0.2?
s
Let w = 6.3 + -6. Let t = 0.02 - 0.52. Let l = -4.478 - -1.478. Which is the closest to l? (a) t (b) w (c) 4/7
a
Let i = -25.2 - -23. Let t = i - -2.1. Let x = -5 + 2. What is the closest to t in x, -0.3, 4?
-0.3
Let s = 305 - 308. Which is the nearest to 6/13? (a) 0.1 (b) 2/21 (c) 0 (d) s
a
Let p = -27.58 - -27.08. Let b = 0.2 + -0.3. What is the closest to b in p, 0.06, 1/6?
0.06
Let r = -0.178 + -0.022. What is the nearest to 1/2 in r, -5, 0.12, 0?
0.12
Let a = -23 - 6. Let f = -80 - -52. Let m = a - f. What is the closest to -1 in -3, 0.2, m?
m
Let t be (-2 - 128/(-60))/(4/(-18)). Which is the nearest to -1? (a) 0.4 (b) t (c) 0.05
b
Let l be 59/8 + 13/39*-21. What is the nearest to -1 in l, -1/140, 0?
-1/140
Let w be (1*3 + -1)*139/695. What is the nearest to -3 in 0, 1/3, w, 5?
0
Suppose x = 0, -50*p - 4*x = -55*p + 10. Let t = 7 + -11. Which is the closest to p? (a) -3 (b) t (c) -3/8
c
Let x be ((-182)/6)/7*10. Let b = x - -43. What is the nearest to b in 0, -3, -10?
0
Let n = -4.65 + 6.65. Let v = -5 - -5.4. What is the closest to v in -0.1, 1, n?
-0.1
Suppose -5*g + 42 = 37*g. Which is the nearest to 0.2? (a) 2/3 (b) g (c) 3 (d) 6
a
Let y = 572/3 - 191. Let l be (1/(-9))/(6/12). Which is the closest to y? (a) l (b) 0.5 (c) 2
a
Suppose 5*u + 3 = 8. Which is the nearest to u? (a) -1 (b) -3 (c) -2/29
c
Let b = -28 + 28.62. Let g = -0.62 + b. What is the nearest to g in 4, 3, 2/15?
2/15
Let g = -2.1 - -2. Let x = 0 - g. Let q be ((-70)/70)/(7/(-3)). Which is the nearest to x? (a) 3/5 (b) -5 (c) q
c
Let y = 0.204 - -3.796. Which is the closest to -0.1? (a) -0.11 (b) y (c) -0.04
a
Let h = -74 - -69. What is the closest to 0.08 in 3, h, 0.5?
0.5
Let w = -5.7 + 0.7. Let c be 1*(2 - -3) - 1. Let x be 1/(8/(-16) + (0 - 0)). What is the closest to -2/3 in c, w, x?
x
Let f = 363 + -361. Let v = -0.03 - 1.97. Which is the closest to v? (a) -1/7 (b) -5 (c) f
a
Suppose 2*p = -2*p + 80. Let u be (65/p)/(2/8). Let l = -13 + u. Which is the nearest to 1/3? (a) l (b) 4 (c) 1
a
Let r = -380.4 + 382. What is the closest to r in -5/2, -5, 3?
3
Let p = 15 - 14.3. Let i = p - 0.7. Which is the nearest to -2? (a) -2/7 (b) -3/4 (c) i
b
Let h = 76 + -76. What is the nearest to -2/7 in -0.3, 0.02, h, -3?
-0.3
Let f = -2.577 + 2.967. What is the nearest to -1 in 0.5, 0, f?
0
Let v = 7 - 8. Let w = -4 + 5. Let h be 5/3*w/(-5). What is the closest to v in 2, 0, h?
h
Let f = 958 + -953. What is the closest to 1 in 3, f, 1?
1
Let m = 9.02 + -0.02. Let f = m + -9.1. Let g(l) = l**2 - 11*l + 7. Let c be g(10). What is the closest to c in 3, -2, f?
-2
Suppose 0 = -12*f + 7*f - 15. Suppose -6*l = -3*l + 18. Let c be (123/42 - 3)*l. What is the closest to -1 in -0.5, f, c?
-0.5
Let n be (-6)/(-21) + (-509)/(-7). Let k = -221/3 + n. Suppose 4*p + 3 = f, 2*p + 0*p = -3*f - 19. Which is the nearest to k? (a) 4 (b) 0.2 (c) p
b
Let l = -3.7 - -36.3. Let y = 14 - 47. Let n = y + l. Which is the nearest to -4? (a) 0.4 (b) n (c) 0.5
b
Let f = 385 + -392. What is the nearest to 1/2 in -3, -9, f?
-3
Let c = 7/45 - -17/180. Let h be (6/(-4))/(21/6). What is the closest to 1/5 in h, 3, c?
c
Let n = -263 + 258. What is the nearest to -3 in 3, n, -2/13?
n
Let p = -35 + 39. What is the nearest to 0.01 in -3/10, p, -2?
-3/10
Let h be (1/10)/(3/24). Let m = h - 22/15. Which is the closest to m? (a) -3 (b) 5 (c) 0.3
c
Let q = -3 - -2.6. Let v be (4/(8/(-1)))/(13/(-2)). What is the nearest to v in -4, q, 0?
0
Let x = -6.7 - -7. Let p be -7*(-6)/273 - (-29)/(-104). What is the nearest to -1 in x, 0.5, p?
p
Let t = 59.28 - -2.62. Let y = t - 62. Which is the nearest to y? (a) 3 (b) -1/8 (c) 0.2
b
Let i = -2/39 + -31/156. Suppose -12*o = o + 13. Which is the closest to o? (a) -0.5 (b) i (c) 1
a
Let l = -1.61 + -2.39. What is the closest to 1 in -0.2, l, -12?
-0.2
Let o = -4 + -1. Let k = -28/3 - -146/15. Let d be ((-2)/(-6))/((-3)/18). Which is the closest to d? (a) k (b) o (c) 1/2
a
Let x = -32/3 + 10. What is the closest to x in -0.1, -0.5, 1, 0.5?
-0.5
Let p = 1.8 + 6.7. Let g = 8 - p. Which is the closest to -0.1? (a) -5 (b) g (c) 1/6
c
Let x = -0.07 + 2.07. Let k = 8.7 - 9. Which is the nearest to -1? (a) x (b) k (c) -3
b
Suppose 4*d + 5*b - 58 = 0, -7*d = -2*d + 5*b - 70. Let c = -4/25 - 17/50. What is the closest to c in 0, d, 1/3?
0
Let a = -12/95 + 511/285. What is the closest to -0.1 in -0.2, 1/2, a?
-0.2
Let q = -49.62 - -49.52. Let j = -1 + 0.8. Which is the closest to q? (a) -2/13 (b) 3 (c) j
a
Let d = -193/4 + 48. Suppose -2*o + 9 = 15, -5*x - 3*o = 4. What is the closest to x in -2, 2/7, d?
2/7
Let p = 66 - 105. Let i = 39 + p. What is the nearest to 1/2 in 4, -0.07, i?
i
Let h = -133 - -134. Which is the closest to h? (a) -2.9 (b) -0.3 (c) 5
b
Let z = -0.1 + 0.3. Let m = 395 + -391. What is the nearest to z in 2, m, -0.3?
-0.3
Let z = 255 + -2037/8. Which is the nearest to -12? (a) -0.4 (b) z (c) -2
c
Suppose 238*w = 243*w - 5. Let r = 2.97 - 3. Let z = r + -0.37. What is the closest to 1 in -5/2, w, z?
w
Let m = -165 - -165.2. Which is the nearest to m? (a) 2 (b) -0.4 (c) 0
c
Let j = 98 - 102. What is the closest to -0.6 in 2, -1/21, j?
-1/21
Let h = 0.25 + -0.01. Let d = h - 14.24. Let m = d - -10. What is the closest to -1/5 in m, 2/11, 5/4?
2/11
Let f = 1078 - 14016/13. What is the nearest to -7 in f, 2/5, -1/6, -2/3?
-2/3
Let a be (336/35)/(-12) - 376/(-70). What is the nearest to a in -0.2, 1, -5?
1
Let n = 8 - 15. Let q = 1914.5 + -1915. Which is the nearest to -3? (a) n (b) 4 (c) q
c
Let w be 28/4 - (8 - (12 + -15)). Let f = 2/5 - -1/5. What is the closest to -0.2 in w, 0.5, f?
0.5
Let q = -19 - -11. Let m(s) = -s**3 - 9*s**2 - 7*s + 10. Let t be m(q). Suppose -3*d - 4 = t*r, r + d + 2 = -0*r. What is the nearest to r in 1, 1/4, -0.1?
-0.1
Let g = 1.5 - 1. Let j = 117 + -117. Let y be (-1)/(-6) + -3 + 3. Which is the closest to -2? (a) y (b) j (c) g
b
Let y = 0.0884 - -3.9416. Let o = y - 4. Let u = -0.07 - o. Which is the closest to u? (a) -4 (b) -5 (c) 0.4
c
Let f be 3*12/27*3. Suppose -5*w - p - p = -38, 0 = w + p - 7. Let j be w/39*9/12. Which is the nearest to -1? (a) 0.4 (b) f (c) j
c
Let i = -653/1545 + 7/309. Which is the closest to -1? (a) i (b) -14/11 (c) -1
c
Let o = 0.039 + 19.961. Let r = o - 20.5. What is the closest to -3 in -1, -3, r?
-3
Let d = 28 - 18. Suppose -q = q - d. Let o = -2.959 - 0.041. Which is the closest to o? (a) -5 (b) 2/21 (c) q
a
Let w = -44 + 44. Let t = 3/16 - 23/80. Let s = -121/3 - -40. Which is the nearest to s? (a) 1 (b) w (c) t
c
Let l be (4/(-10))/(-7*104/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is -0.000182572202 rounded to 7 dps?
-0.0001826
Round -1002274840 to the nearest one hundred thousand.
-1002300000
What is 1025497.134 rounded to the nearest one hundred?
1025500
Round 18869.30825 to the nearest ten.
18870
What is -73109017.3 rounded to the nearest 10000?
-73110000
What is 21773050 rounded to the nearest 1000000?
22000000
Round 0.003488604299 to seven decimal places.
0.0034886
Round 5902450.282 to the nearest 1000000.
6000000
What is -3613053.1 rounded to the nearest 1000?
-3613000
Round -0.0000731850056 to 6 decimal places.
-0.000073
What is 14.067779 rounded to 1 decimal place?
14.1
Round -22856.35 to the nearest one thousand.
-23000
Round -3993363450 to the nearest one hundred thousand.
-3993400000
What is 752.3298264 rounded to 1 decimal place?
752.3
Round 96852.66723 to the nearest 100.
96900
What is -2641.78728 rounded to one dp?
-2641.8
What is 378517.608 rounded to the nearest one thousand?
379000
What is -2534.79931 rounded to one dp?
-2534.8
Round 1221281.23 to the nearest 100000.
1200000
What is 0.004842875897 rounded to six dps?
0.004843
Round 0.00000458477683 to six dps.
0.000005
What is 1258.03859 rounded to the nearest 100?
1300
What is 8.2938618 rounded to the nearest ten?
10
What is -0.305559956 rounded to five decimal places?
-0.30556
Round 73409126.89 to the nearest one hundred thousand.
73400000
Round -0.000001235114729 to 7 dps.
-0.0000012
What is 17852194.9 rounded to the nearest 1000?
17852000
Round -365.5302889 to the nearest one hundred.
-400
Round -65658191.5 to the nearest 1000000.
-66000000
Round -12543965220 to the nearest 1000000.
-12544000000
Round -0.0937105841 to 4 decimal places.
-0.0937
Round -111.9076459 to 2 decimal places.
-111.91
What is 4.910285 rounded to three decimal places?
4.91
What is 45.888996 rounded to two decimal places?
45.89
What is -78875.429 rounded to the nearest ten?
-78880
What is -0.06438829 rounded to 1 decimal place?
-0.1
What is -0.0134992571 rounded to 6 decimal places?
-0.013499
Round -294.273308 to the nearest integer.
-294
Round 2.578503 to the nearest 10.
0
What is 0.263342364 rounded to two decimal places?
0.26
What is 114789.1468 rounded to the nearest 10000?
110000
Round -7704348.98 to the nearest one million.
-8000000
Round -5129615.684 to the nearest one thousand.
-5130000
What is 0.000161233427 rounded to six dps?
0.000161
Round -1266.299263 to one dp.
-1266.3
What is -550.269203 rounded to the nearest 100?
-600
What is -199342.5335 rounded to the nearest 10?
-199340
What is -0.0000055112722 rounded to 7 decimal places?
-0.0000055
Round 248570.8101 to the nearest 100000.
200000
What is 0.00015496545 rounded to 6 dps?
0.000155
Round 0.0064798208 to two decimal places.
0.01
What is -8.360082 rounded to 2 dps?
-8.36
What is 237830225.7 rounded to the nearest ten thousand?
237830000
What is -321.0463636 rounded to the nearest integer?
-321
Round -9.94394396 to two decimal places.
-9.94
What is -23450.2303 rounded to the nearest 1000?
-23000
What is -0.0002782431 rounded to 3 dps?
0
What is 1587869.756 rounded to the nearest one thousand?
1588000
What is 4743.0685 rounded to the nearest ten?
4740
What is 4900673.1 rounded to the nearest 1000000?
5000000
What is 168796152 rounded to the nearest 1000000?
169000000
Round -14481142.4 to the nearest 1000.
-14481000
What is 0.03285001 rounded to two dps?
0.03
What is -1971.74078 rounded to the nearest ten?
-1970
Round 0.033810136 to 4 decimal places.
0.0338
What is -68.3127025 rounded to 1 decimal place?
-68.3
Round 0.0929462252 to 2 dps.
0.09
Round -4.132371083 to 1 dp.
-4.1
Round -90657317 to the nearest 1000000.
-91000000
What is -0.0051493783 rounded to four dps?
-0.0051
What is 0.000212575118 rounded to seven dps?
0.0002126
What is -9.974557672 rounded to 1 decimal place?
-10
What is 0.00000213189197 rounded to seven dps?
0.0000021
Round -264.46838 to one decimal place.
-264.5
Round -0.000799771937 to 6 decimal places.
-0.0008
Round -4829638.81 to the nearest 10000.
-4830000
Round -8.9533799 to 1 dp.
-9
What is 1569.59411 rounded to the nearest integer?
1570
What is 6.623834049 rounded to the nearest integer?
7
Round -4263804.52 to the nearest 100000.
-4300000
What is -2795.70083 rounded to the nearest one hundred?
-2800
What is 0.20260667133 rounded to 4 dps?
0.2026
What is -0.11521873 rounded to 3 dps?
-0.115
Round -0.29388746 to 5 dps.
-0.29389
What is -18096454.4 rounded to the nearest 10000?
-18100000
What is 0.0000508831124 rounded to six decimal places?
0.000051
Round -2.6355500439 to 4 decimal places.
-2.6356
What is -0.564636772 rounded to five dps?
-0.56464
What is -0.00006686649644 rounded to six dps?
-0.000067
What is -0.00025038954333 rounded to six decimal places?
-0.00025
What is 5947457.822 rounded to the nearest one million?
6000000
Round 0.244342059 to four decimal places.
0.2443
What is 58.887047 rounded to one dp?
58.9
What is -0.00166757138 rounded to 7 dps?
-0.0016676
What is -0.07489173544 rounded to two decimal places?
-0.07
Round -0.000193465351 to 4 dps.
-0.0002
Round 0.0535734828 to 3 dps.
0.054
What is 752.239223 rounded to zero decimal places?
752
Round 0.0000010967415 to seven decimal places.
0.0000011
Round -0.01023129443 to 5 dps.
-0.01023
Round 150267.3807 to the nearest 100.
150300
Round 2.49960478 to 3 dps.
2.5
What is -1174179.35 rounded to the nearest one hundred?
-1174200
What is 285138.917 rounded to the nearest ten thousand?
290000
What is -0.0000507621936 rounded to seven dps?
-0.0000508
What is -199866.956 rounded to the nearest ten?
-199870
What is -87014.442 rounded to the nearest 10?
-87010
What is -5982249 rounded to the nearest ten thousand?
-5980000
Round -107.91483015 to one dp.
-107.9
What is 21397.519 rounded to the nearest 1000?
21000
Round 9078627.56 to the nearest one million.
9000000
What is -0.219323542 rounded to 4 dps?
-0.2193
What is 3383582.611 rounded to the nearest 10?
3383580
Round 0.0322767357 to 3 decimal places.
0.032
What is 0.633886076 rounded to four decimal places?
0.6339
What is 477223.16 rounded to the nearest 10000?
480000
What is -0.000020898336307 rounded to seven decimal places?
-0.0000209
Round 0.009046013 to 3 dps.
0.009
What is -2035775820 rounded to the nearest one hundred thousand?
-2035800000
What is 36775.198 rounded to the nearest ten?
36780
What is -47.6802361 rounded to one dp?
-47.7
Round 0.0012778210294 to five decimal places.
0.00128
What is 33.1470598 rounded to 2 decimal places?
33.15
What is -1.499667 rounded to one decimal place?
-1.5
What is 12.2906219 rounded to one decimal place?
12.3
Round 257309908.5 to the nearest ten thousand.
257310000
What is 0.000003043750554 rounded to seven dps?
0.000003
What is -20.886167 rounded to the nearest 100?
0
What is 0.0000025410852 rounded to 7 dps?
0.0000025
Round 44111.076 to the nearest ten.
44110
Round -0.000165383323 to six dps.
-0.000165
What is 0.03435667487 rounded to four dps?
0.0344
What is -0.053018401 rounded to 5 decimal places?
-0.05302
What is -342.7663559 rounded to 2 decimal places?
-342.77
What is -0.002143757984 rounded to five decimal places?
-0.00214
Round -14680988210 to the nearest 1000000.
-14681000000
What is -218629764.1 rounded to the nearest 1000?
-218630000
Round 0.000011984983094 to seven dps.
0.000012
What is -29229.95675 rounded to 0 decimal places?
-29230
Round 0.00000115106175 to 6 decimal places.
0.000001
Round -307702.7044 to the nearest one hundred thousand.
-300000
Round -0.000028592175099 to 6 dps.
-0.000029
Round 0.055571202 to five decimal places.
0.05557
What is 0.71842056 rounded to three decimal places?
0.718
What is 543203.406 rounded to the nearest one thousand?
543000
Round -0.0000677698484 to six decimal places.
-0.000068
Round -18903661.5 to the nearest 10000.
-18900000
What is -158802.518 rounded to the nearest ten?
-158800
What is -0.000000450180387 rounded to seven decimal places?
-0.0000005
What is -0.00050759982 rounded to 7 dps?
-0.0005076
What is 180345.98 rounded to the nearest one thousand?
180000
What is -18.9250389 rounded to zero dps?
-19
What is -0.00251416515 rounded to 6 dps?
-0.002514
Round -77291840 to the nearest one million.
-77000000
What is 165700.807 rounded to the nearest 100?
165700
What is 9230838.89
|
{
"pile_set_name": "DM Mathematics"
}
|
**(-211225/88)
Simplify ((s**(-4/3)/s**(-5))/((s*s**(1/11))/(s*s*s/(s**3/s)*s)))/((s**(-2/7)/s*s*s)**(-2/15))**(-2/41) assuming s is positive.
s**(14431/3157)
Simplify ((h**(4/3))**(-1)*(h**1*h)**10)**(-6/5) assuming h is positive.
h**(-112/5)
Simplify (((r**(-1/3))**(2/23)/(r**(-1)*r/(r**(-8)*r*r)))**(18/7))**(2/87) assuming r is positive.
r**(-1664/4669)
Simplify (r*r**(-5)/r*r*r*r**(2/33))**17*((r*r/(r/(r/(r*r*r*r**(10/7)*r*r))*r))/r*r*r*r**(3/5))**(3/25) assuming r is positive.
r**(-1456141/28875)
Simplify (((f**(-5/9)/f)/f)/f)/f**12*(((f/((f**(-29)*f)/f))/f)/f)**(-40) assuming f is positive.
f**(-10220/9)
Simplify (u*u**(-18/7)*u**(-2/101)/u*(u**(-3))**(-1/4))**(-1/6) assuming u is positive.
u**(5207/16968)
Simplify (((h/(h**(-4/11)/h))/h**(-1/4)*h*h/(h**(2/11)/h)*h*(h*h**6*h)/h)**(-5))**(-1/6) assuming h is positive.
h**(985/88)
Simplify (i**(2/13)/(i*(i/(i**(-2/11)*i))/i*i))/(i/i**(1/4))**(-2/21)*((i*i**(-2))**(-35))**(-17) assuming i is positive.
i**(-1193105/2002)
Simplify (k**5/k)/(k*(((k*k/(k/k**(2/3))*k)/k)/k*k)/k)*(k*(k**(-5)*k)/k)/(k**(-4/9)*k)*(k*k**1)**(-41)/((k/k**(2/7))/k)**36 assuming k is positive.
k**(-4658/63)
Simplify (p*p**(-2/3)*(p**(1/18)*p)/p*(p/(p*p*p*p/(p/(p/p**21*p*p)*p)*p))**(-5/14))**(4/5) assuming p is positive.
p**(-1342/315)
Simplify ((s*s/(s*s*s/s**(2/3)))/s*s)/s**2*s**(3/5)/(s**(-1)/s)*((s*s**(5/4))/s**(1/2))**(4/23) assuming s is positive.
s**(197/345)
Simplify ((r/((r**(3/4)/r*r)/r))/r*r**35)/(r**(-29)*r/r**(-1/27)*r*r) assuming r is positive.
r**(6611/108)
Simplify (((s**(1/5)/s)/s)/s)**12*(s*s**20*s*s)/(s**36/s) assuming s is positive.
s**(-228/5)
Simplify (((w**5*(w/(w*w**(-3/4)))/w)/(w**4*w**(-2)))**(8/3))**31 assuming w is positive.
w**(682/3)
Simplify ((m**25/(m*m/(m**(2/35)*m)))**(5/7))**24 assuming m is positive.
m**(20208/49)
Simplify (((u**(-6)*u/((u**(-1/7)/u)/u*u))**(16/5))**39)**(13/5) assuming u is positive.
u**(-219024/175)
Simplify (((o/o**(-10))/(o*o**17/o))/(o**(-1/4))**42)**(2/29) assuming o is positive.
o**(9/29)
Simplify (u*u*u*u**(-1/8)*u/(u*u**(4/3)))**(-1/10)/((u/((u*u/(u*u*u**(-1/2)*u)*u)/u))**(11/4))**(8/3) assuming u is positive.
u**(-2677/240)
Simplify (m/(m**(4/7)*m)*m)/m**(-2)*(m/m**(-1/5))/m**(-3/2)*(m**1)**47*m**(-5)*m**6 assuming m is positive.
m**(3719/70)
Simplify ((j*j*j**(-1)*j*j)**(-8/13))**(5/14)/((j**0)**42*(j/j**(3/2))/j**(-1/3)) assuming j is positive.
j**(-269/546)
Simplify ((h*h**(-6)*h*h*h**(-2/7))/(h*h**(-6)*h*h**(-3)/h*h))/((((h*h*h/(h**1/h))/h)/h)**(-1/18)*((h/((h**1/h)/h))/h)**29) assuming h is positive.
h**(-3179/126)
Simplify (y/(y**3*y*y)*y/y**(-2)*y*y*(y/(y**(2/3)*y)*y)/(y**(-6)*y))/((y**1)**(2/3)*(y**(3/5)*y*y)/y*y**6) assuming y is positive.
y**(-29/15)
Simplify ((b**(2/5)/b**(-5/2))/(b*b**1*b*b**(-1)))/(b/((b**(1/5)/b)/b*b)*b*b**4/b)**(-8) assuming b is positive.
b**(473/10)
Simplify (((d/d**(3/8)*d*d*d)/d**15)/(d**(-3/8)/d*d/(d*d**(-1/17))))**(-29) assuming d is positive.
d**(4959/17)
Simplify ((((y**(2/39)/y)/(y/(y*y**15*y*y)))**37)**(-27))**(1/10) assuming y is positive.
y**(-104229/65)
Simplify (h**(-1)*h)**(-4)/(h/(h*h*h*h**1*h))**(2/11)*(h**(-1)/((h*h/(h*h*(h/h**3)/h*h*h)*h)/h))/(((h**(-6)/h)/h)/(h*h*h**(1/5))) assuming h is positive.
h**(491/55)
Simplify ((l/l**9)/(l*l**(1/12))*l/((l*l**(1/6)*l)/l)*l*l**(3/4))/(((l/l**1)/(l/(l**(2/9)*l)))/(l**(1/6)*(l/l**2)/l)) assuming l is positive.
l**(-86/9)
Simplify ((t/((t/t**27)/t))**43*t*t/((t/(t/((t*t*t**13*t*t)/t)))/t)*t*t**(-2/63)*t)**(-3/2) assuming t is positive.
t**(-75157/42)
Simplify (((i*i*i**(1/9)*i*i)/i**(-3))/(i/i**12*i*i/i**9*i))**(-1/8) assuming i is positive.
i**(-217/72)
Simplify ((h**4/h)**(4/23)*(h**(-1/6)/h)**(1/16))**(16/5) assuming h is positive.
h**(991/690)
Simplify ((m**(1/3))**(-34)*(m/m**(3/8))/m**(-6/11))**19 assuming m is positive.
m**(-50977/264)
Simplify (j**(-1/18)/j**10*(j/j**(1/9))**(-47))**(-1/38) assuming j is positive.
j**(311/228)
Simplify (m**(2/7))**(-25)*m**6/m**(3/5)*(m/(m/(m*m**(-1/2))))**(-4/11)/(m*(m**(-2/3)/m)/m*m**(-1)) assuming m is positive.
m**(857/1155)
Simplify (((b**(2/3)*b*b*(b/(b**(1/9)*b))/b)**(-1/7))**(-2/5))**(-2/7) assuming b is positive.
b**(-8/315)
Simplify ((v/v**(-2/5))**(-29/2)*v**(-4)/(v**(-9)/v))**(-3/2) assuming v is positive.
v**(429/20)
Simplify (g**(-2)*g)**(-1/24)*(g**(-2))**(-14/11)*(g/g**(1/4))**(34/5)*g**(-1/7)*g**(2/13) assuming g is positive.
g**(924697/120120)
Simplify ((((a**3*a)/a*a)/a)/((a*a**(-6)*a)/a))/(a**(-3/8)*a**(-4/5))*a**(-2/11)/((a/((a/(a**(-4)/a*a))/a))/a)*a**(-6)*a*a**(-3)/a*a assuming a is positive.
a**(2197/440)
Simplify ((u**(-14))**(-24)*u**(-16)/(u/(u*u**(-15))))**26 assuming u is positive.
u**7930
Simplify (((v*v/(v*v**(-2))*v*v*v*v*v**(-3/4)/v*v)**(-2/19))**(10/13))**(-33) assuming v is positive.
v**(4125/247)
Simplify (((i**(-1/5)*i)/i**(-1/4))/(i/i**(-1)*i**(-4/3)*i))/((i**2/i)/i**6*i**(1/8)*i**(3/7)) assuming i is positive.
i**(3217/840)
Simplify (j**(-2/3)*j**(-3))**(4/11)*(j**(-2/5))**(-1/38)*(j*j**(-2/21)*j*j)/(j/(j/((j/(j**(-1)/j))/j))) assuming j is positive.
j**(-278/665)
Simplify ((q**(-1)/q)/q)**(13/4)*(q**(-1/3)/q*q*q)**(18/13)*(q**(2/5))**(3/2)*q**(-1/5)*q**7 assuming q is positive.
q**(-371/260)
Simplify ((f*f**1)**(-3/4))**(-2/51)/((f**1)**34/(f**(2/3))**(-8)) assuming f is positive.
f**(-2003/51)
Simplify ((l**(-2/7)/l)/l**(-2)*l**(-6/7)/(l*l**(5/3)))/((l/l**11)/l**(-4/5))**40 assuming l is positive.
l**(7669/21)
Simplify ((g**(1/2))**(-9/11)*g**(-6/5)*g**(-6)/g)/((g/g**(2/11)*g)/g*g**4)**(2/23) assuming g is positive.
g**(-22841/2530)
Simplify ((r**(-1/7)*r*r)**(11/6)*r**(-18)/(r/(r*r*(r**(1/10)/r)/r)))**30 assuming r is positive.
r**(-3254/7)
Simplify (o**(-12)*o**(-1/10))**(-10)*o**(-1)/(o*o**(2/9))*o/(o/(o**8/o))*((o/(o*o**5/o))/o*o)/o assuming o is positive.
o**(1087/9)
Simplify ((w/w**(2/7))/w)**(-15)/(w**(-5)/(w**(-8)/w))*(w*w/(w**1*w))/(w/(w/w**(2/7)))*w**(1/4)*w*w**6 assuming w is positive.
w**(29/4)
Simplify ((c*c/c**(4/3))/(c/c**(-7)*c*c*c*c))/(c/(c/c**(1/4))*c**(-1/5)/c)*(((c/c**(-4))/c)/c**2)/((c*c**(2/3)*c)/c)**(-1/43) assuming c is positive.
c**(-21529/2580)
Simplify (((s/(s/(s*s**(3/2))*s))**(-13)*s/((s/s**(-2/11))/s*s)*s*s**(-12/7))**25)**(9/10) assuming s is positive.
s**(-141345/308)
Simplify (v*v**(-6/5)*v)/(((v*v**6)/v*v)/v)*v**8*v**(-4/5)/v*v*v*v**(-2/7)*v*v**7*v**(-3)/v**(-3/8) assuming v is positive.
v**(453/56)
Simplify (((g*g**0)**(-35/2)*g**(-2/9)/g*g**4*g)**(-5/4))**(-2/111) assuming g is positive.
g**(-1235/3996)
Simplify ((z**(-3/5)*z)**42/(z/(z**(-4/3)/z))**(-5/7))**(-2/17) assuming z is positive.
z**(-4028/1785)
Simplify ((p**(-5/13)/p*p/p**(-4/7))/(p**22)**(-2/15))**(-2/69) assuming p is positive.
p**(-8518/94185)
Simplify k**(4/9)/(k**(3/10)*k)*(k**(-39))**(13/8) assuming k is positive.
k**(-23123/360)
Simplify (b/b**(-9)*b/b**(-9))**13*(b**0*b/(b/b**(5/3)))/(b/(((b/(b/b**(-1/3)*b*b))/b)/b)*b)**(2/151) assuming b is positive.
b**(39499/151)
Simplify (j*j**(-2/29)*j*j*j*j*(j*j/(j**(3/7)/j))/j*j)**(-7/6)*(j*j**1*j*j*j**(10/9))**13 assuming j is positive.
j**(30115/522)
Simplify (((((p*p/(p*p*p**(4/15)))/p)/p*p)/p*p*p**(2/3)/p)/(p**5)**47)**(-20/9) assuming p is positive.
p**(4732/9)
Simplify ((t/t**(-1/2))/(t/t**(3/11))*(t**(1/5))**(8/7))**(-12) assuming t is positive.
t**(-4626/385)
Simplify ((p**1)**(3/34)*(p**(-4/7)*p)/(p/((p*p/p**(4/9))/p)))/((p**4/(((((p*p**5/p)/p)/p)/p*p)/p*p))/(p*p*p**(-2))**(-10)) assuming p is positive.
p**(-1987/2142)
Simplify ((c**(-2/5))**(-16))**44*(c**(-3/5)*c/c**3)**(1/2) assuming c is positive.
c**(2803/10)
Simplify ((n**(2/7))**(-15)*(n**(-6)*n)/n*n*n/(n**5/n*n*n))/((n*n**(2/13)*n*n**(-1)*n)/(((n/n**(-1))/n)/n**(-1))) assuming n is positive.
n**(-1314/91)
Simplify ((w*w**(2/3)/w)**9/((w**(1/5)*w)/(w/((w*w**(1/5))/w))))/(((w/w**(4/3))/(w/w**2*w))/(w*w**(-3)*w/(w*w*w/w**(-5)))) assuming w is positive.
w**(-46/15)
Simplify ((o/o**3*o*o*o**(-1/6))/(((o**(-1/4)/o)/o)/o*o)**9)/(o*(o**(1/2)*o)/o*o*o*o*o*o/(o**3*o)*o*o)**(-21/5) assuming o is positive.
o**(2339/60)
Simplify (h**3/h*h**(-3)*h)/(((h**(-1/8)/h)/h*h)/(h**(-3/5)*h))*(h**(-3)/((h/(h*h/((h/(h/(h/h**(-3/4))))/h)))/h))/(h**(-1/2))**(12/11) assuming h is positive.
h**(141/440)
Simplify ((y**11/(y/(y/((y*y**(2/7)*y*y)/y))*y))/((y**(-3/17)/y)/(y/(y**9*y))))**(-38) assuming y
|
{
"pile_set_name": "DM Mathematics"
}
|
s -61300000 rounded to the nearest 1000000?
-61000000
What is -0.00002129 rounded to six dps?
-0.000021
What is -80400000 rounded to the nearest 1000000?
-80000000
What is 0.07365 rounded to 2 decimal places?
0.07
What is 0.0209542 rounded to 3 decimal places?
0.021
What is -11402.3 rounded to the nearest one thousand?
-11000
What is -0.02862 rounded to 3 decimal places?
-0.029
What is -0.0003391 rounded to 4 dps?
-0.0003
Round 0.0000452 to five decimal places.
0.00005
What is -22916 rounded to the nearest 100?
-22900
Round -10.69 to 1 decimal place.
-10.7
What is 101100 rounded to the nearest one thousand?
101000
Round 354740 to the nearest 1000.
355000
Round -132.994 to the nearest integer.
-133
Round 0.000528 to four decimal places.
0.0005
Round 0.316 to 1 decimal place.
0.3
What is -901 rounded to the nearest one hundred?
-900
What is 0.04053 rounded to three decimal places?
0.041
What is -9740000 rounded to the nearest 1000000?
-10000000
What is 0.00000052 rounded to six decimal places?
0.000001
What is -8.579 rounded to one dp?
-8.6
What is 4446 rounded to the nearest 100?
4400
What is 5.87 rounded to 1 decimal place?
5.9
Round 53.57 to the nearest ten.
50
What is 4717.9 rounded to the nearest 1000?
5000
What is -3261000 rounded to the nearest 100000?
-3300000
What is 66483000 rounded to the nearest 1000000?
66000000
Round 0.00000541 to 6 decimal places.
0.000005
What is -0.000001206 rounded to seven decimal places?
-0.0000012
Round 0.62426 to 2 decimal places.
0.62
Round -1.668 to the nearest integer.
-2
What is 4310 rounded to the nearest ten thousand?
0
What is 4324.3 rounded to the nearest 100?
4300
Round 340.24 to the nearest ten.
340
Round 50815 to the nearest one hundred.
50800
Round 121920 to the nearest 10000.
120000
Round 48321300 to the nearest 1000000.
48000000
Round 0.02093 to two dps.
0.02
What is 57.01 rounded to the nearest 10?
60
Round 5.7777 to 1 dp.
5.8
What is 114.36 rounded to the nearest integer?
114
What is -4790000 rounded to the nearest one million?
-5000000
What is 206550 rounded to the nearest 10000?
210000
What is 21.561 rounded to one decimal place?
21.6
What is 3051000 rounded to the nearest one million?
3000000
Round 3.0583 to 1 dp.
3.1
What is -0.000003897 rounded to seven dps?
-0.0000039
Round 0.007046 to four decimal places.
0.007
What is 296690000 rounded to the nearest 1000000?
297000000
What is -30.5833 rounded to the nearest 10?
-30
Round -79610 to the nearest ten thousand.
-80000
What is -0.1794 rounded to 2 dps?
-0.18
What is 614.4 rounded to the nearest ten?
610
Round -0.04195 to 3 dps.
-0.042
Round -4.2336 to the nearest integer.
-4
Round 0.0004239 to 5 dps.
0.00042
What is 0.003025 rounded to 3 dps?
0.003
What is -0.09228 rounded to 3 decimal places?
-0.092
What is -1.0178 rounded to two decimal places?
-1.02
What is 0.00000000521 rounded to 7 decimal places?
0
What is -0.14264 rounded to one dp?
-0.1
Round 699400 to the nearest 100000.
700000
Round -0.0000008689 to 7 decimal places.
-0.0000009
Round 0.000017685 to six decimal places.
0.000018
Round -1.816 to 2 dps.
-1.82
Round 0.00011793 to 5 decimal places.
0.00012
What is 0.000010886 rounded to 6 decimal places?
0.000011
Round -8889.8 to the nearest 100.
-8900
Round -41.4 to the nearest ten.
-40
What is -0.000012908 rounded to 6 dps?
-0.000013
What is -3355.4 rounded to the nearest one hundred?
-3400
Round -38300 to the nearest 1000.
-38000
What is 39795000 rounded to the nearest 1000000?
40000000
What is -442050 rounded to the nearest 100000?
-400000
What is 0.2168 rounded to two dps?
0.22
What is -20.9272 rounded to 1 decimal place?
-20.9
Round 0.000047 to 5 decimal places.
0.00005
Round -648000 to the nearest one hundred thousand.
-600000
Round -0.18326 to two decimal places.
-0.18
What is 4.6666 rounded to two dps?
4.67
What is -0.14934 rounded to three decimal places?
-0.149
Round 0.0207423 to 4 decimal places.
0.0207
Round 0.0336 to three dps.
0.034
What is 0.78031 rounded to 2 decimal places?
0.78
What is -0.04216 rounded to three dps?
-0.042
Round -86.03 to the nearest integer.
-86
What is 0.0000011997 rounded to 7 decimal places?
0.0000012
What is -18.1786 rounded to the nearest integer?
-18
What is -0.002773 rounded to 4 dps?
-0.0028
Round -81700 to the nearest 10000.
-80000
What is -685000 rounded to the nearest ten thousand?
-690000
What is 99213000 rounded to the nearest 1000000?
99000000
What is -0.00002494 rounded to 6 dps?
-0.000025
Round -68726000 to the nearest one million.
-69000000
Round 14.4 to the nearest 10.
10
Round 30880 to the nearest 10000.
30000
What is -0.000001129 rounded to 7 dps?
-0.0000011
Round -0.282 to one decimal place.
-0.3
What is -0.0864 rounded to three decimal places?
-0.086
Round -0.0000003326 to seven dps.
-0.0000003
What is -1.36 rounded to 1 dp?
-1.4
What is -0.0002189 rounded to 5 dps?
-0.00022
What is 0.00001396 rounded to 6 decimal places?
0.000014
What is 11.048 rounded to 0 dps?
11
Round 16090 to the nearest one thousand.
16000
What is 0.00042114 rounded to 5 decimal places?
0.00042
Round -287500 to the nearest ten thousand.
-290000
What is 0.0218 rounded to 2 decimal places?
0.02
Round -0.000013641 to 6 dps.
-0.000014
What is 0.00001471 rounded to 6 dps?
0.000015
What is 0.00012153 rounded to four dps?
0.0001
What is 553.68 rounded to the nearest one hundred?
600
Round 78.4 to the nearest ten.
80
What is 0.00004883 rounded to six decimal places?
0.000049
Round -1146.35 to the nearest one hundred.
-1100
Round -45240 to the nearest 10000.
-50000
What is -0.003319 rounded to four dps?
-0.0033
Round -10709000 to the nearest 1000000.
-11000000
What is 24.62 rounded to the nearest ten?
20
What is -0.04599 rounded to four decimal places?
-0.046
What is 3492.7 rounded to the nearest one thousand?
3000
Round 45700 to the nearest ten thousand.
50000
Round -408400 to the nearest 100000.
-400000
What is 0.00102571 rounded to 4 decimal places?
0.001
Round -80360000 to the nearest 1000000.
-80000000
What is 0.0000001748 rounded to 6 dps?
0
What is 32405 rounded to the nearest one thousand?
32000
What is -32178 rounded to the nearest one hundred?
-32200
Round -716 to the nearest 100.
-700
Round 5240 to the nearest one thousand.
5000
Round -0.00060215 to 6 decimal places.
-0.000602
What is -20.96 rounded to 1 decimal place?
-21
Round 0.0001517 to six dps.
0.000152
Round -0.2278 to 2 dps.
-0.23
What is 5884.9 rounded to the nearest 1000?
6000
Round -295590 to the nearest 10000.
-300000
What is -3.99743 rounded to one dp?
-4
Round 0.000002975 to seven dps.
0.000003
Round 0.002086 to three decimal places.
0.002
What is 0.00004328 rounded to six decimal places?
0.000043
What is -2.5529 rounded to two decimal places?
-2.55
What is 0.0019626 rounded to four decimal places?
0.002
What is -509980 rounded to the nearest one thousand?
-510000
What is 0.02866 rounded to 3 decimal places?
0.029
What is -0.000002188 rounded to 6 dps?
-0.000002
What is 0.00136487 rounded to four dps?
0.0014
What is -348.3 rounded to the nearest 10?
-350
What is 812 rounded to the nearest 10?
810
Round 299600 to the nearest 10000.
300000
What is -1290300 rounded to the nearest 100000?
-1300000
Round 0.058074 to three dps.
0.058
What is 0.00038637 rounded to 5 dps?
0.00039
Round 0.00000256633 to 6 decimal places.
0.000003
What is -0.0000558 rounded to 5 dps?
-0.00006
Round 964500 to the nearest ten thousand.
960000
Round -1981000 to the nearest 100000.
-2000000
What is -1307300 rounded to the nearest 10000?
-1310000
Round -0.070263 to 3 decimal places.
-0.07
Round -77.507 to the nearest ten.
-80
Round -0.0001121 to five decimal places.
-0.00011
What is 7282000 rounded to the nearest one million?
7000000
What is -293800 rounded to the nearest one hundred thousand?
-300000
What is 0.12347 rounded to three dps?
0.123
Round 1380.1 to the nearest ten.
1380
Round 0.004625 to three decimal places.
0.005
Round -5.19 to 1 decimal place.
-5.2
What is 0.00001582 rounded to seven decimal places?
0.0000158
Round -7185700 to the nearest 100000.
-7200000
What is 0.005613 rounded to three dps?
0.006
Round -0.000445674 to 6 decimal places.
-0.000446
What is -0.0000762 rounded to 5 decimal places?
-0.00008
Round -0.00000361 to six decimal places.
-0.00
|
{
"pile_set_name": "DM Mathematics"
}
|
2 PM
How many minutes are there between 10:35 PM and 5:13 AM?
398
How many minutes are there between 11:09 AM and 5:51 PM?
402
What is 592 minutes after 2:21 PM?
12:13 AM
How many minutes are there between 11:29 AM and 11:31 AM?
2
How many minutes are there between 4:46 PM and 4:35 AM?
709
How many minutes are there between 11:32 PM and 9:10 AM?
578
How many minutes are there between 12:35 AM and 11:18 AM?
643
What is 641 minutes after 4:32 AM?
3:13 PM
What is 51 minutes after 12:39 PM?
1:30 PM
What is 708 minutes before 2:46 AM?
2:58 PM
What is 128 minutes after 4:40 AM?
6:48 AM
How many minutes are there between 4:21 AM and 2:41 PM?
620
What is 404 minutes after 4:41 AM?
11:25 AM
How many minutes are there between 8:32 AM and 10:27 AM?
115
How many minutes are there between 3:40 PM and 2:42 AM?
662
How many minutes are there between 11:01 AM and 11:34 AM?
33
How many minutes are there between 8:22 AM and 7:54 PM?
692
How many minutes are there between 2:34 AM and 3:34 AM?
60
How many minutes are there between 1:56 PM and 12:30 AM?
634
How many minutes are there between 6:41 PM and 4:32 AM?
591
How many minutes are there between 6:32 PM and 1:14 AM?
402
What is 115 minutes before 4:07 PM?
2:12 PM
How many minutes are there between 12:35 AM and 5:26 AM?
291
What is 624 minutes after 2:02 AM?
12:26 PM
How many minutes are there between 7:31 AM and 12:51 PM?
320
What is 371 minutes before 3:52 AM?
9:41 PM
How many minutes are there between 6:11 PM and 6:46 PM?
35
How many minutes are there between 2:32 PM and 6:29 PM?
237
What is 616 minutes before 3:14 PM?
4:58 AM
What is 485 minutes before 5:38 PM?
9:33 AM
What is 149 minutes after 4:27 PM?
6:56 PM
How many minutes are there between 4:17 AM and 9:40 AM?
323
How many minutes are there between 7:30 AM and 1:42 PM?
372
How many minutes are there between 12:56 AM and 12:16 PM?
680
What is 67 minutes before 4:02 AM?
2:55 AM
What is 639 minutes before 4:59 PM?
6:20 AM
What is 669 minutes after 10:44 PM?
9:53 AM
What is 90 minutes after 12:58 PM?
2:28 PM
How many minutes are there between 6:11 PM and 1:07 AM?
416
How many minutes are there between 1:09 PM and 12:53 AM?
704
What is 104 minutes before 1:17 PM?
11:33 AM
How many minutes are there between 2:51 AM and 6:18 AM?
207
What is 468 minutes before 12:54 PM?
5:06 AM
How many minutes are there between 8:28 AM and 11:45 AM?
197
How many minutes are there between 8:57 PM and 2:29 AM?
332
What is 145 minutes after 12:43 AM?
3:08 AM
How many minutes are there between 11:21 PM and 1:28 AM?
127
How many minutes are there between 9:53 AM and 7:49 PM?
596
How many minutes are there between 11:57 AM and 8:13 PM?
496
How many minutes are there between 5:16 AM and 3:40 PM?
624
How many minutes are there between 11:19 PM and 12:21 AM?
62
How many minutes are there between 8:55 PM and 9:07 PM?
12
How many minutes are there between 12:10 AM and 6:44 AM?
394
How many minutes are there between 6:09 AM and 8:38 AM?
149
What is 428 minutes before 2:39 AM?
7:31 PM
What is 240 minutes after 12:10 PM?
4:10 PM
How many minutes are there between 8:10 AM and 8:14 AM?
4
How many minutes are there between 10:21 AM and 6:14 PM?
473
How many minutes are there between 2:04 AM and 4:16 AM?
132
How many minutes are there between 8:04 PM and 8:08 PM?
4
What is 691 minutes before 9:02 PM?
9:31 AM
How many minutes are there between 3:12 AM and 7:24 AM?
252
What is 249 minutes before 10:20 PM?
6:11 PM
What is 277 minutes before 10:33 PM?
5:56 PM
What is 599 minutes after 7:59 PM?
5:58 AM
How many minutes are there between 11:59 PM and 5:01 AM?
302
What is 665 minutes after 3:07 PM?
2:12 AM
How many minutes are there between 11:46 PM and 7:29 AM?
463
How many minutes are there between 5:46 AM and 11:39 AM?
353
What is 167 minutes before 10:30 AM?
7:43 AM
What is 573 minutes before 7:34 PM?
10:01 AM
How many minutes are there between 2:30 AM and 1:51 PM?
681
What is 572 minutes after 2:06 AM?
11:38 AM
How many minutes are there between 8:28 PM and 1:31 AM?
303
What is 428 minutes after 8:18 AM?
3:26 PM
What is 665 minutes before 9:18 AM?
10:13 PM
How many minutes are there between 8:59 AM and 6:35 PM?
576
What is 209 minutes after 4:22 PM?
7:51 PM
How many minutes are there between 4:09 AM and 7:14 AM?
185
How many minutes are there between 10:19 AM and 11:28 AM?
69
What is 719 minutes before 5:07 PM?
5:08 AM
How many minutes are there between 3:37 AM and 3:08 PM?
691
What is 592 minutes after 11:08 AM?
9:00 PM
How many minutes are there between 6:23 PM and 6:09 AM?
706
How many minutes are there between 8:12 AM and 9:44 AM?
92
What is 321 minutes after 10:27 AM?
3:48 PM
How many minutes are there between 7:16 AM and 12:40 PM?
324
What is 181 minutes after 6:40 PM?
9:41 PM
What is 120 minutes after 8:59 PM?
10:59 PM
How many minutes are there between 11:24 AM and 10:36 PM?
672
What is 421 minutes after 2:51 AM?
9:52 AM
What is 305 minutes after 4:27 PM?
9:32 PM
What is 159 minutes before 11:43 PM?
9:04 PM
How many minutes are there between 8:56 AM and 4:33 PM?
457
What is 76 minutes after 2:13 PM?
3:29 PM
What is 320 minutes after 2:00 AM?
7:20 AM
How many minutes are there between 10:47 AM and 8:34 PM?
587
What is 170 minutes after 1:31 AM?
4:21 AM
What is 501 minutes before 5:12 AM?
8:51 PM
How many minutes are there between 1:41 PM and 3:18 PM?
97
What is 391 minutes before 9:17 PM?
2:46 PM
How many minutes are there between 5:31 AM and 9:00 AM?
209
What is 313 minutes before 9:00 PM?
3:47 PM
What is 171 minutes after 9:17 PM?
12:08 AM
How many minutes are there between 6:10 AM and 8:35 AM?
145
What is 492 minutes before 1:53 AM?
5:41 PM
How many minutes are there between 11:10 AM and 9:35 PM?
625
What is 238 minutes before 7:37 PM?
3:39 PM
How many minutes are there between 11:28 AM and 7:07 PM?
459
How many minutes are there between 10:55 AM and 7:47 PM?
532
How many minutes are there between 10:01 PM and 10:49 PM?
48
How many minutes are there between 12:21 PM and 9:13 PM?
532
How many minutes are there between 7:05 PM and 9:30 PM?
145
How many minutes are there between 4:19 PM and 10:58 PM?
399
How many minutes are there between 12:53 PM and 11:36 PM?
643
How many minutes are there between 4:55 AM and 10:19 AM?
324
How many minutes are there between 8:05 PM and 7:37 AM?
692
What is 473 minutes before 9:00 PM?
1:07 PM
How many minutes are there between 5:40 AM and 10:32 AM?
292
What is 697 minutes after 4:42 AM?
4:19 PM
How many minutes are there between 9:04 PM and 6:22 AM?
558
What is 76 minutes before 1:24 AM?
12:08 AM
What is 166 minutes after 6:55 PM?
9:41 PM
How many minutes are there between 6:46 AM and 9:24 AM?
158
What is 77 minutes before 1:32 AM?
12:15 AM
What is 657 minutes before 10:03 AM?
11:06 PM
How many minutes are there between 5:14 PM and 9:09 PM?
235
What is 663 minutes after 5:54 AM?
4:57 PM
What is 14 minutes before 9:44 AM?
9:30 AM
What is 505 minutes before 5:16 AM?
8:51 PM
How many minutes are there between 12:01 AM and 2:52 AM?
171
What is 166 minutes before 3:16 PM?
12:30 PM
How many minutes are there between 12:34 PM and 6:50 PM?
376
What is 391 minutes after 1:37 PM?
8:08 PM
How many minutes are there between 11:50 PM and 9:55 AM?
605
What is 4 minutes after 8:10 AM?
8:14 AM
What is 636 minutes after 2:32 PM?
1:08 AM
How many minutes are there between 7:33 AM and 3:07 PM?
454
What is 38 minutes after 8:54 AM?
9:32 AM
What is 667 minutes before 4:13 AM?
5:06 PM
What is 217 minutes before 5:01 PM?
1:24 PM
What is 367 minutes before 12:54 PM?
6:47 AM
What is 171 minutes after 1:43 AM?
4:34 AM
What is 458 minutes before 1:42 PM?
6:04 AM
How many minutes are there between 6:10 PM and 8:49 PM?
159
How many minutes are there between 11:40 AM and 11:39 PM?
719
How many minutes are there between 11:29 PM and 6:10 AM?
401
How many minutes are there between 2:36 AM and 7:53 AM?
317
How many minutes are there between 11:00 AM and 7:27 PM?
507
What is 264 minutes before 1:47 AM?
9:23 PM
What is 687 minutes after 9:24 PM?
8:51 AM
What is 456 minutes before 3:09 PM?
7:33 AM
What is 318 minutes after 11:38 PM?
4:56 AM
How many minutes are there between 6:56 AM and 6:00 PM?
664
What is 416 minutes before 8:22 PM?
1:26 PM
How many minutes are there between 5:21
|
{
"pile_set_name": "DM Mathematics"
}
|
hen 584 is divided by 84?
80
What is the remainder when 3038 is divided by 8?
6
Calculate the remainder when 177 is divided by 171.
6
Calculate the remainder when 33 is divided by 12.
9
Calculate the remainder when 676 is divided by 62.
56
What is the remainder when 100 is divided by 44?
12
Calculate the remainder when 14319 is divided by 66.
63
What is the remainder when 152 is divided by 40?
32
What is the remainder when 2435 is divided by 66?
59
Calculate the remainder when 23 is divided by 8.
7
What is the remainder when 985 is divided by 55?
50
What is the remainder when 27 is divided by 11?
5
What is the remainder when 1661 is divided by 13?
10
What is the remainder when 1245 is divided by 83?
0
Calculate the remainder when 2304 is divided by 78.
42
Calculate the remainder when 41 is divided by 9.
5
Calculate the remainder when 1580 is divided by 99.
95
Calculate the remainder when 3213 is divided by 134.
131
Calculate the remainder when 154 is divided by 82.
72
Calculate the remainder when 2809 is divided by 2768.
41
What is the remainder when 6046 is divided by 42?
40
Calculate the remainder when 5625 is divided by 29.
28
What is the remainder when 742 is divided by 671?
71
What is the remainder when 1482 is divided by 8?
2
Calculate the remainder when 157 is divided by 32.
29
Calculate the remainder when 158 is divided by 97.
61
Calculate the remainder when 1492 is divided by 256.
212
Calculate the remainder when 1703 is divided by 27.
2
Calculate the remainder when 979 is divided by 35.
34
What is the remainder when 137 is divided by 47?
43
What is the remainder when 129 is divided by 22?
19
What is the remainder when 4535 is divided by 63?
62
What is the remainder when 508 is divided by 366?
142
Calculate the remainder when 229 is divided by 69.
22
What is the remainder when 124 is divided by 7?
5
Calculate the remainder when 7827 is divided by 182.
1
Calculate the remainder when 1382 is divided by 9.
5
What is the remainder when 335 is divided by 21?
20
Calculate the remainder when 461 is divided by 16.
13
What is the remainder when 207 is divided by 115?
92
Calculate the remainder when 188 is divided by 162.
26
Calculate the remainder when 443 is divided by 34.
1
What is the remainder when 342 is divided by 8?
6
What is the remainder when 10598 is divided by 62?
58
Calculate the remainder when 3894 is divided by 41.
40
What is the remainder when 2880 is divided by 474?
36
What is the remainder when 3564 is divided by 28?
8
What is the remainder when 122 is divided by 17?
3
What is the remainder when 135 is divided by 50?
35
Calculate the remainder when 433 is divided by 44.
37
What is the remainder when 93 is divided by 40?
13
What is the remainder when 319 is divided by 102?
13
What is the remainder when 1055 is divided by 30?
5
What is the remainder when 1515 is divided by 33?
30
What is the remainder when 888 is divided by 150?
138
Calculate the remainder when 328 is divided by 21.
13
What is the remainder when 1477 is divided by 17?
15
Calculate the remainder when 118 is divided by 2.
0
Calculate the remainder when 754 is divided by 131.
99
Calculate the remainder when 336 is divided by 183.
153
Calculate the remainder when 1922 is divided by 958.
6
What is the remainder when 1003 is divided by 48?
43
What is the remainder when 88 is divided by 47?
41
What is the remainder when 1070 is divided by 26?
4
Calculate the remainder when 141 is divided by 18.
15
Calculate the remainder when 324 is divided by 41.
37
Calculate the remainder when 18 is divided by 13.
5
What is the remainder when 381 is divided by 48?
45
Calculate the remainder when 229 is divided by 21.
19
What is the remainder when 11465 is divided by 31?
26
Calculate the remainder when 74 is divided by 19.
17
What is the remainder when 600 is divided by 208?
184
Calculate the remainder when 1074 is divided by 43.
42
Calculate the remainder when 391 is divided by 11.
6
Calculate the remainder when 309 is divided by 127.
55
What is the remainder when 445 is divided by 14?
11
Calculate the remainder when 227 is divided by 74.
5
What is the remainder when 127 is divided by 43?
41
What is the remainder when 357 is divided by 339?
18
Calculate the remainder when 232 is divided by 123.
109
Calculate the remainder when 8383 is divided by 195.
193
What is the remainder when 350 is divided by 59?
55
What is the remainder when 416 is divided by 15?
11
Calculate the remainder when 186 is divided by 19.
15
What is the remainder when 61 is divided by 7?
5
What is the remainder when 585 is divided by 59?
54
Calculate the remainder when 504 is divided by 501.
3
What is the remainder when 260 is divided by 24?
20
What is the remainder when 162 is divided by 11?
8
What is the remainder when 233 is divided by 57?
5
What is the remainder when 127 is divided by 37?
16
What is the remainder when 743 is divided by 37?
3
What is the remainder when 3307 is divided by 11?
7
Calculate the remainder when 609 is divided by 203.
0
What is the remainder when 502 is divided by 3?
1
What is the remainder when 853 is divided by 43?
36
Calculate the remainder when 567 is divided by 15.
12
Calculate the remainder when 1561 is divided by 34.
31
What is the remainder when 447 is divided by 50?
47
What is the remainder when 220 is divided by 25?
20
What is the remainder when 190 is divided by 66?
58
What is the remainder when 3733 is divided by 1243?
4
Calculate the remainder when 120 is divided by 91.
29
Calculate the remainder when 263 is divided by 97.
69
What is the remainder when 310 is divided by 21?
16
Calculate the remainder when 666 is divided by 209.
39
Calculate the remainder when 699 is divided by 56.
27
Calculate the remainder when 772 is divided by 222.
106
What is the remainder when 1078 is divided by 47?
44
What is the remainder when 429 is divided by 108?
105
What is the remainder when 954 is divided by 51?
36
Calculate the remainder when 4168 is divided by 139.
137
What is the remainder when 23758 is divided by 240?
238
What is the remainder when 346 is divided by 96?
58
Calculate the remainder when 200 is divided by 22.
2
What is the remainder when 6567 is divided by 18?
15
Calculate the remainder when 210 is divided by 55.
45
What is the remainder when 344 is divided by 23?
22
Calculate the remainder when 3602 is divided by 75.
2
Calculate the remainder when 407 is divided by 82.
79
What is the remainder when 81 is divided by 17?
13
What is the remainder when 2666 is divided by 127?
126
What is the remainder when 285 is divided by 13?
12
Calculate the remainder when 733 is divided by 148.
141
What is the remainder when 34 is divided by 3?
1
Calculate the remainder when 310 is divided by 26.
24
What is the remainder when 2218 is divided by 139?
133
Calculate the remainder when 895 is divided by 16.
15
Calculate the remainder when 113 is divided by 2.
1
Calculate the remainder when 267 is divided by 10.
7
Calculate the remainder when 1822 is divided by 83.
79
What is the remainder when 778 is divided by 52?
50
Calculate the remainder when 94 is divided by 62.
32
Calculate the remainder when 72943 is divided by 94.
93
Calculate the remainder when 32 is divided by 13.
6
Calculate the remainder when 107 is divided by 27.
26
Calculate the remainder when 331 is divided by 37.
35
What is the remainder when 254 is divided by 52?
46
Calculate the remainder when 1016 is divided by 91.
15
Calculate the remainder when 543 is divided by 63.
39
What is the remainder when 3695 is divided by 56?
55
Calculate the remainder when 5448 is divided by 218.
216
What is the remainder when 117 is divided by 35?
12
Calculate the remainder when 40 is divided by 10.
0
Calculate the remainder when 695 is divided by 6.
5
Calculate the remainder when 34846 is divided by 88.
86
Calculate the remainder when 1074 is divided by 20.
14
Calculate the remainder when 128 is divided by 70.
58
What is the remainder when 810 is divided by 30?
0
Calculate the remainder when 3627 is divided by 903.
15
What is the remainder when 1590 is divided by 200?
190
What is the remainder when 18 is divided by 10?
8
What is the remainder when 42 is divided by 5?
2
What is the remainder when 2025 is divided by 176?
89
What is the remainde
|
{
"pile_set_name": "DM Mathematics"
}
|
.8
0.01*1.42509
0.0142509
What is -0.02 times 18414?
-368.28
What is -3968775 times 0.5?
-1984387.5
-5.672 * -5
28.36
Product of 183 and 0.559.
102.297
-0.14 times -30738
4303.32
-11.6 times 155
-1798
Multiply 0.09 and -707.
-63.63
Work out -128877 * 20.
-2577540
227 * 0.3538
80.3126
Multiply 0.5 and -18965.
-9482.5
Product of -5 and 2.80981.
-14.04905
185.9071 times 2
371.8142
-5 * -230777
1153885
What is -81.2 times -0.045?
3.654
Product of 32353 and 5.
161765
Work out -0.4 * -0.5333.
0.21332
-7.14*-8284
59147.76
Calculate -9.541*-3.
28.623
What is the product of -2 and 2.0761?
-4.1522
Multiply -0.4 and 573121.
-229248.4
2*-5692
-11384
Multiply 0.4 and -36279.
-14511.6
What is 125 times -0.6183?
-77.2875
Multiply -55 and 78.
-4290
Calculate -6.4*107.6.
-688.64
-11.4*-2.7
30.78
Multiply 0.025 and 381.
9.525
0.11 times -27975
-3077.25
What is the product of -12 and -1507?
18084
What is -7.4 times 188.23?
-1392.902
What is the product of 80284 and 0.11?
8831.24
Calculate 135.091*-2.
-270.182
20802*-3
-62406
Calculate -0.04*-34.
1.36
-0.03 times 2053
-61.59
What is 1538 times 0.4?
615.2
Calculate -248*2.678.
-664.144
What is 7.11 times -107?
-760.77
What is the product of 21896 and 0?
0
Product of 200 and 864.
172800
Product of 0.2 and 3264.
652.8
What is -0.0142165 times -3?
0.0426495
6.666 times 5
33.33
Multiply -0.047565 and 0.5.
-0.0237825
Work out -17876 * 1.
-17876
Product of -4 and -0.187422.
0.749688
Work out 66 * -868.
-57288
Work out -16 * 4848.
-77568
What is -6 times 755860?
-4535160
-234600 * -0.2
46920
What is the product of -0.4 and -10.262?
4.1048
What is the product of -8765 and 10?
-87650
42.5 * 936
39780
What is -0.55 times 6100?
-3355
388573 times -0.1
-38857.3
Product of -0.18 and 89.
-16.02
Calculate -0.4*450791.
-180316.4
What is -0.197383 times 1?
-0.197383
What is the product of 13 and 0.0456?
0.5928
Calculate -83*12964.
-1076012
1024 * 0.0775
79.36
Work out -8119 * -0.078.
633.282
What is 45065 times 1?
45065
What is the product of 3 and -102254?
-306762
Multiply 12351 and 1.6.
19761.6
-0.06 * -807.89
48.4734
What is the product of -2 and -54964?
109928
0.14*-99290
-13900.6
0.3 * -212134
-63640.2
Calculate 10765.8*-0.9.
-9689.22
Product of -2208 and 2.82.
-6226.56
Work out -0.1 * -3921.6.
392.16
Calculate 0.4*-46473.
-18589.2
What is the product of 0.153288 and -2?
-0.306576
Product of -583.76 and -1.
583.76
What is the product of -0.01 and -1253.2?
12.532
What is 0.3 times -91069?
-27320.7
1495 * 17
25415
-0.02 times -3268
65.36
1.5 times 1.4277
2.14155
What is the product of 54.23 and -57?
-3091.11
Multiply 320 and 3160.
1011200
What is the product of 1099 and 23.7?
26046.3
Work out 0.2 * -19940.
-3988
Calculate 465141*-5.
-2325705
Work out 0.5 * -0.04104.
-0.02052
Calculate 39*-3302.6.
-128801.4
What is -13 times 56886?
-739518
What is the product of 2.1 and -0.2508?
-0.52668
What is -0.183 times -13685?
2504.355
What is 36.8 times -117?
-4305.6
0.2*76869
15373.8
What is 958411 times -0.4?
-383364.4
-1 * 1946.2
-1946.2
What is -12.1 times 10.447?
-126.4087
3242 * 1.1
3566.2
What is the product of -11799 and -3.81?
44954.19
Product of -0.5 and -1042.6.
521.3
-170 times 944
-160480
Calculate -9.29*0.85.
-7.8965
Multiply -784 and -8.7.
6820.8
0.5*390995
195497.5
Work out 165.16 * 19.
3138.04
-7539706*-1
7539706
What is 43.54 times -0.0282?
-1.227828
What is -661630 times 0.1?
-66163
What is -13 times 2022?
-26286
8 * 166
1328
Calculate -16530*-2.8.
46284
Multiply -0.064975 and 0.4.
-0.02599
5541*-1
-5541
What is 5 times -2.5512?
-12.756
What is the product of 0.3 and 0.0254509?
0.00763527
Product of 65601.6 and 5.
328008
Work out 0.5 * -90361.
-45180.5
-6.575 * -2
13.15
What is -66 times 0.0438?
-2.8908
-1.18 times 236.77
-279.3886
Calculate 0.1*2513.99.
251.399
1.805 * -495
-893.475
234 times -62
-14508
Work out 0.04171 * 26.7.
1.113657
Work out -3.6 * 87.379.
-314.5644
0.5 times 1949.7
974.85
What is the product of -3 and -4818?
14454
-23.2 * 104.9
-2433.68
-1.763 times -46
81.098
Product of -0.62 and 4288.
-2658.56
Calculate -0.313*564.
-176.532
What is 0.6 times 0.01436?
0.008616
Work out 5.836 * -1.
-5.836
What is -8 times 240.48?
-1923.84
Multiply 15440 and -62.
-957280
-0.02 times -21139
422.78
Work out -0.92 * 0.049.
-0.04508
What is -0.3056 times 1.2?
-0.36672
Calculate 0.1384*-0.7.
-0.09688
2 * -164727
-329454
Work out -0.6 * -2632.
1579.2
What is -377590 times -0.1?
37759
Calculate 389900*0.3.
116970
-0.002 * 26795
-53.59
Multiply -0.746 and 3.
-2.238
Work out -0.08 * 10.9.
-0.872
-5776 * -1
5776
What is the product of 0.026 and 0.52?
0.01352
-2140.2 times -8
17121.6
Multiply -2688 and 0.4.
-1075.2
Product of -102978 and 0.5.
-51489
What is -73 times 0.2317?
-16.9141
Product of 0.098 and -963.
-94.374
0.15 times -3838
-575.7
-0.04 times 98.022
-3.92088
What is the product of -0.5 and -0.3129?
0.15645
Calculate 656*1.3.
852.8
-1.9299 * 33
-63.6867
23025*0.062
1427.55
Product of -7 and -3491.
24437
Product of 1161 and -6.
-6966
Multiply -19 and 5927.
-112613
Calculate -32*-3.6962.
118.2784
0.5*27664
13832
Calculate 18*-4772.
-85896
-2249 times 3
-6747
-16*-13105
209680
-0.5 * -13196.5
6598.25
-0.025*-0.499
0.012475
0.262 * 0.0066
0.0017292
Work out 20.3 * -29.4.
-596.82
Product of -8 and 7.05.
-56.4
Multiply 2666.6 and -132.
-351991.2
45.6*10
456
What is 0.4 times -4141.48?
-1656.592
Multiply 2 and -2.9107.
-5.8214
0.2 * -37.4799
-7.49598
Multiply 5 and 19.366.
96.83
Multiply 13.1867 and 0.6.
7.91202
Work out 19 * 35.57.
675.83
5 * 1.02927
5.14635
0.41381*-0.3
-0.124143
Calculate -6.04*-92.
555.68
-0.2892336 times -4
1.1569344
Calculate -756*-37.
27972
-2226 * -0.1053
234.3978
1.127 * -217
-244.559
Multiply -8 and 19222.
-153776
What is the product of 1357 and -1193?
-1618901
What is the product of 343 and -1770?
-607110
-56.795 * 0
0
Multiply 0.708748 and -1.
-0.708748
-0.1091 times -15.8
1.72378
-2.889 times 0.03
-0.08667
Product of 0.05 and 0.131.
0.00655
0.039931 * -2
-0.079862
What is 672.6 times 11?
7398.6
What is the product of -3.5 and -2365?
8277.5
-0.18 * -1244
223.92
Product of -6.1 and -24305.
148260.5
What is the product of 0.8 and -294?
-235.2
-11.0363 times 0.5
-5.51815
What is the product of -4 and -156007?
624028
Calculate 162*-157.89.
-25578.18
What is the product of 1 and 13545?
13545
What is the product of -11.2 and -0.008?
0.0896
Work out -46 * 5346.
-245916
Multiply 45972 and -0.3.
-13791.6
Multiply -8267 and 0.03.
-248.01
13 times -38168
-496184
Work out 56294 * 1.
56294
Work out 52 * -3195.
-166140
0.16 * 453550
72568
Work out 10.4 * 114.
1185.6
Product of -20 and -0.35997.
7.1994
What is -129.4 times 0.02?
-2.588
Work out 190 * 15.96.
3032.4
Work out 26 * 0.081073.
2.107898
0 times 17.096
0
0.04802 times -0.9
-0.043218
What is the product of -0.09 and 156997?
-14129.73
Product of -3414 and -315.
1075410
What is -1763 times -0.0627?
110.5401
Product of -0.124 and -5.2.
0.6448
0.0269 * 722
19.4218
Work out 1796441 * -0.1.
-179644.1
Calculate -0.069*-13820.
953.58
What is 523 times 32?
16736
Calculate -1.61*1.97.
-3.1717
Product of 0.783 and -774.
-606.042
-26.25 * 0.053
-1.39125
Work out 49391 * -3.
-148173
Calculate 1681.541*-0.5.
-840.7705
Work out 661 * 22.
14542
-14 * -34865
488110
-0.17*-0.0226
0.003842
Multiply 102.8 and 0.06.
6.168
-0.1 times -103173
10317.3
Product of -0.5 and 121279.
-60639.5
Product of 373 and -0.019.
-7.087
What is -0.4 times -6978?
2791.2
0.2*0.03185
0.00637
Multiply 8.3179 and 0.5.
4.15895
Multiply -255 and -0.252.
64.26
What is the product of -80.858 and 5?
-404.29
Product of -0.1 and 243067.
-24306.7
538 * -23.4
-12589.2
Work out 0.04017 * 56.
2.24952
What is 1.1 times -1254.3?
-1379.73
0.0214*5
0.107
-11182*-0.08
894.56
-0.37*842.4
-311.688
Product of 1.0442 and 0.2.
0.20884
Product of -476 and 2408.
-1146208
What is the product of 2.1 and 160492?
337033.2
Calculate 879*2.04.
1793.16
Calculate -0.21*-163.45.
34.3245
Work out 10 * -15523.
-155230
-0.34 * 28852
-9809.68
-217461*-3
652383
Multiply -238 and 206.
-49028
Calculate -37132*9.
-334188
Product of -233.4 and -789.
184152.6
Work out -645 * -67.
43215
What is the product of -4.5 and 0.88?
-3.96
What is 464.562 times -5?
-2322.81
Multiply 0.02967 and 141.
4.18347
Product of 3 and -206443.
-619329
M
|
{
"pile_set_name": "DM Mathematics"
}
|
201?
-20001110
In base 11, what is -1a566 + 9360?
-11206
In base 16, what is 3 + -1d3c39?
-1d3c36
In base 15, what is ed3c5 - -115?
ed4da
In base 15, what is -a + -18798c?
-187997
In base 12, what is -24b52 - -5?
-24b49
In base 8, what is 50 + 4347717?
4347767
In base 10, what is 10774230 - 0?
10774230
In base 13, what is -5 + 1cc460?
1cc458
In base 15, what is b86 + 23?
ba9
In base 2, what is 1100110110 - -1000010101111?
1001111100101
In base 16, what is 0 + -5bb7f?
-5bb7f
In base 9, what is -482 - -166232?
165640
In base 12, what is 2a16a9206 + 1?
2a16a9207
In base 12, what is -13a8711 - -4?
-13a8709
In base 11, what is 5011 + -1321?
37a0
In base 4, what is -13302223032 - 1013?
-13302230111
In base 9, what is 1272 - 130548?
-128266
In base 12, what is -3258631 + -4?
-3258635
In base 14, what is 114 - 17bc3?
-17aad
In base 9, what is 1030851 + -24?
1030826
In base 15, what is -633e2 - 1?
-633e3
In base 11, what is -187 - -132152?
131a76
In base 12, what is -290b2 + a1?
-29011
In base 16, what is -18e + -5153d?
-516cb
In base 16, what is 22f - db98?
-d969
In base 14, what is 6d2 + -2c7d?
-258b
In base 13, what is 572ab - -4a?
57328
In base 2, what is 1011101100110011 + -110000?
1011101100000011
In base 7, what is 2536 - 3142246?
-3136410
In base 9, what is 621 - -122786?
123517
In base 10, what is 5 - -20380052?
20380057
In base 7, what is 5 + 166254110?
166254115
In base 8, what is 361506117 + 2?
361506121
In base 5, what is 13111330221 + -2?
13111330214
In base 9, what is -17462 - 6421?
-24883
In base 4, what is 11313031 - -11303?
11331000
In base 10, what is 12003832 + 32?
12003864
In base 11, what is -a53841a8 + a?
-a5384199
In base 2, what is -11010 + 1001100110000100101?
1001100110000001011
In base 2, what is -100111011001001000101011011 - -10?
-100111011001001000101011001
In base 11, what is -7 - 162440a?
-1624416
In base 13, what is 3 - -1617625?
1617628
In base 16, what is -3d84f + 18?
-3d837
In base 7, what is 2130465 + -215?
2130250
In base 3, what is 2 + -1200011010120010?
-1200011010120001
In base 2, what is -1 - -1001100010000101110?
1001100010000101101
In base 8, what is 451371 + -4274?
445075
In base 11, what is 1 - 3071143?
-3071142
In base 9, what is -238781 + -24?
-238815
In base 5, what is 1 + -322124200?
-322124144
In base 5, what is -10140004223 + -2?
-10140004230
In base 4, what is -2001 - -12332320203?
12332312202
In base 5, what is -32314300 - -1130?
-32313120
In base 15, what is -1e - -37c85?
37c66
In base 2, what is 11011111011000010000 - -111000?
11011111011001001000
In base 6, what is -11055543 - -41?
-11055502
In base 8, what is 72773 + 30?
73023
In base 7, what is -115143655 + 24?
-115143631
In base 2, what is 1001011110 + 100101111001100?
100111000101010
In base 14, what is -bd588 - -251?
-bd337
In base 14, what is 235941 - 1?
235940
In base 15, what is 62b36a5 - 4?
62b36a1
In base 5, what is 23 - 333341100?
-333341022
In base 4, what is -10 + 321332120230?
321332120220
In base 16, what is 2 - 9157c?
-9157a
In base 15, what is -25026a3 - -7?
-250269b
In base 3, what is -111 - 1001002221110?
-1001002221221
In base 13, what is 609 - -343a?
3a46
In base 3, what is 2 - 101000211102111?
-101000211102102
In base 2, what is 1001101101000110 - 10101111?
1001101010010111
In base 5, what is 3030 - -13242?
21322
In base 2, what is -100010001000 - -110010000101101101?
110001100011100101
In base 5, what is 111412 - -4230024?
4341441
In base 16, what is -210aa423 + 2?
-210aa421
In base 2, what is 1111001011011011001 - 10110110000?
1111001000100101001
In base 15, what is -10c6 - 596dd?
-5a7b4
In base 16, what is 521 + 1595?
1ab6
In base 2, what is 101100 + 10000111111011100110?
10000111111100010010
In base 14, what is -56bd25 - -6?
-56bd1d
In base 3, what is 120112120022201 - 1?
120112120022200
In base 4, what is -10110312 + 1221230?
-2223022
In base 5, what is -1232 - -210400230?
210343443
In base 7, what is -14 - 1440030510?
-1440030524
In base 5, what is 200224110140 - -1?
200224110141
In base 6, what is 302045331 - 1?
302045330
In base 13, what is -10a2 - 17627a?
-17734c
In base 15, what is -a + -1be9abc?
-1be9ac7
In base 6, what is -11133 + 523?
-10210
In base 14, what is 6 - b5c259?
-b5c253
In base 16, what is e + 7b11f3?
7b1201
In base 16, what is -278f - 258c?
-4d1b
In base 4, what is 121102 + -222310?
-101202
In base 8, what is -1666 - 3170?
-5056
In base 5, what is -2241 + 1213300?
1211004
In base 16, what is 8a0f05 - -4e?
8a0f53
In base 12, what is 73b23 + 368?
7428b
In base 11, what is -1476910 + -28?
-1476938
In base 10, what is -1300 - 86349?
-87649
In base 11, what is -a450999 + 1?
-a450998
In base 13, what is 5 + -a859308?
-a859303
In base 9, what is -31 + -120013?
-120044
In base 16, what is -2c67985 + 1?
-2c67984
In base 5, what is 11031313 + 13230?
11100043
In base 13, what is -4 - -1183203?
11831cc
In base 8, what is -240536 - -12777?
-225537
In base 15, what is -2ab5e1d6 - 3?
-2ab5e1d9
In base 12, what is -404a0308 + -3?
-404a030b
In base 10, what is -10498139 - 25?
-10498164
In base 3, what is 110222121121 - 201202?
110221212212
In base 5, what is -12 - 1233410000?
-1233410012
In base 9, what is 2817 - 183257?
-180340
In base 8, what is -122501645 + 4?
-122501641
In base 7, what is -3255313611 - 16?
-3255313630
In base 10, what is 624 + 447?
1071
In base 6, what is -422 - -330551?
330125
In base 12, what is 1 - -b961b37?
b961b38
In base 4, what is 11 + 3020321030101?
3020321030112
In base 16, what is 3f50c6 - -52?
3f5118
In base 8, what is -6 + 1117175525?
1117175517
In base 10, what is 3642 + -3334?
308
In base 15, what is e - -13384a?
133859
In base 13, what is -863a + 31b?
-831c
In base 3, what is 11 + -122112200010011?
-122112200010000
In base 15, what is -82c3eb - -5?
-82c3e6
In base 4, what is -1313212223 - -103?
-1313212120
In base 7, what is -14 - 5552546?
-5552563
In base 2, what is -1011010101000 - -1011111010101?
100101101
In base 15, what is 44274 - -89e?
44b23
In base 4, what is 23300102202311 - -3?
23300102202320
In base 5, what is -1002040140 - 2?
-1002040142
In base 14, what is -3 - 29355cb?
-29355d0
In base 15, what is -2 - -110c2c?
110c2a
In base 3, what is -122011 - 210201220121?
-210202112202
In base 11, what is -306181a - 2?
-3061821
In base 3, what is -12 - 11120220101012212?
-11120220101020001
In base 2, what is -1001111101100100101111 - 1011?
-1001111101100100111010
In base 13, what is 595aa + -3?
595a7
In base 2, what is -1011111001100 - -10010101100111111?
10001001101110011
In base 12, what is 291a + aa3?
3801
In base 3, what is 11 - -1211211220102020?
1211211220102101
In base 12, what is -5 - 805926?
-80592b
In base 16, what is -1 + 8f402f?
8f402e
In base 5, what is -3032444433 - 10?
-3032444443
In base 12, what is 468950 + 4b1?
469241
In base 14, what is 39729 - -7?
39732
In base 10, what is 536908 - -2?
536910
In base 6, what is -3 + 100332430324?
100332430321
In base 7, what is -1042555226 - 5?
-1042555234
In base 12, what is -290434 + -14?
-290448
In base 15, what is -3 - 9d6612?
-9d6615
In base 3, what is -11001010 + 2122210112?
2111202102
In base 2, what is -1 + -110000000001111000110111111?
-110000000001111000111000000
In base 14, what is 440c3 + -109b?
43026
In base 12, what is 3 + -215a072?
-215a06b
In base 14, what is -35b0ac - 7?
-35b0b5
In base 13, what is -22049ac - a7?
-2204a86
In base 13, what is -13c - 239bb?
-23b2a
In base 3, what is -1212021012120 - -1002?
-1212021011111
In base 6, what is 113130445 - 1?
113130444
In base 7, what is -36123 + -4024?
-43150
In base 12, what is 1 - 200640?
-20063b
In base 5, what is -4 + 11140033221?
11140033212
In base 7, what is 3 - 134223320?
-134223314
In base 16, what is 195213a + b?
1952145
In base 2, what is 100 - 10100010110110011010?
-10100010110110010110
In base 15, what is 251c + 19a3?
3ec0
In base 11, what is -21540981 - -12?
-2154096a
In base 14, what is 7189a2b + -5?
7189a26
In base 2, what is 100110 - -10000001111011011001?
10000001111011111111
In base 16, what is 2360576 - 2?
2360574
In base 3, what is -102220011022120 - -20?
-102220011022100
In base 5, what is -10 + -24240130321?
-24240130331
In base 11, what is a88 + -1167?
-18a
In base 11, what is -21 + 396163?
396142
In base 6, what is -133 + -14340?
-1451
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 and give v.
58
Express 72*k - 2 - 72*k - 2*k**3 - 2*k**2 in the form y*k**3 + w + z*k**2 + u*k and give y.
-2
Rearrange 15*f**2 - 516*f**3 - 13*f**2 - 164*f**3 + 2 to l + c*f**2 + h*f + m*f**3 and give l.
2
Express -807*s**2 + 0*s**2 + 197*s**2 - 152*s**2 in the form q*s**2 + h + v*s and give q.
-762
Express 1 - y**4 + 5*y - 5*y**2 + y**3 - 2*y**3 + 5*y**3 + 3*y**2 + 2*y**4 as q*y**3 + j*y**2 + v*y**4 + n + x*y and give v.
1
Rearrange -109 - 108 + 328 - 14*f**3 + 6*f**4 - 114 to x*f + j*f**2 + v*f**4 + h + b*f**3 and give h.
-3
Express (-22*c + 38*c + 25*c)*(-5 + 5 + 1)*(0 + 6 - 2) as j + v*c and give v.
164
Express -10 + 242*z + 16 - 5 - 3 + 2*z**2 as c*z**2 + d + a*z and give a.
242
Rearrange 231*f - 60*f + 6*f + 96*f to u*f + x and give u.
273
Express -4 - 2715*h + 4 - 2210*h**2 + 2715*h in the form m + t*h + w*h**2 and give m.
0
Rearrange 3*q + 63*q**3 + 48*q**2 - 6 - 50*q**2 + 8 + 0*q + 0 to o*q**2 + t + l*q**3 + z*q and give z.
3
Express 11 + 237*b**2 - 83*b**2 - 79*b**2 + 2*b - 78*b**2 in the form c*b + y + m*b**2 and give m.
-3
Rearrange (-2 + 0 + 1 + 2 + 1 - 1 + 2 + 4 - 5 + (-2 + 1 + 2)*(0 + 5 - 3))*(5*c - c + 0*c)*(4 - 1 - 1)*(30 - 30 - 150) to a*c + v and give v.
0
Express (13*n + 6*n - 49*n)*((n - n - 2*n)*(-3 + 2 + 3) - 3*n + 2*n + 0*n + 4*n - 2*n - 5*n) in the form t*n + m*n**2 + h and give m.
240
Rearrange -q**2 - 2*q**4 + 17*q + 13*q**3 + 11*q - 15*q**3 to b*q + m*q**4 + s*q**2 + c*q**3 + i and give s.
-1
Express 0 + 13*j - 3 - 13*j + 37*j**2 as v*j**2 + d*j + a and give v.
37
Rearrange (0 - 4 + 2)*(0*z + 4*z**3 + 0*z) + (-4 + 4 - z)*(-6*z**2 - 17 + 17) to the form d + o*z**3 + y*z + f*z**2 and give d.
0
Express -381*b + 54*b + 61*b + 67*b - 555*b in the form w + m*b and give m.
-754
Express -2*m**4 + 1809*m - 3623*m + 3 - 7*m**2 + 1812*m in the form a*m**2 + c*m + p*m**3 + r*m**4 + b and give r.
-2
Express -2*b**3 + 8*b - 23*b + 2 + 27*b as h*b + k + s*b**2 + d*b**3 and give k.
2
Rearrange 2*n**4 + 3*n**2 + 34*n - 46*n + 0*n**3 - 2*n**3 to the form o + b*n**2 + k*n + s*n**4 + i*n**3 and give i.
-2
Rearrange 2313 + k**3 - 2327 - 2*k**3 - k to s*k + h + x*k**2 + t*k**3 and give t.
-1
Rearrange 0*r - r - 21 + 56 + 37 + 39 to f*r + p and give f.
-1
Express -s**3 - 5 + 2*s + 5*s**4 - 7 - 3*s**4 - 2*s**2 + 9 in the form f*s**3 + l*s**4 + m*s**2 + j + n*s and give j.
-3
Rearrange (-t**2 - 11*t**2 - t**2 - 6*t**2)*(-53 + 33 - 53)*(-t + 2*t**2 + t) to u*t**2 + p*t**3 + b*t**4 + h + f*t and give b.
2774
Express (-4 - 2*i + 3 - 1)*(-2 - 3 + 1)*(13 - 2 + 11) in the form b*i + u and give b.
176
Express (-5 + 2 + 2)*(-55 + 1 - 41)*(4*h - 4*h - 4*h) as m*h + x and give m.
-380
Express -3*o**2 - 2*o - o**2 + 35 + 0*o**2 + o**2 + o**2 in the form q*o**2 + z + j*o and give j.
-2
Express 84752*f**3 - 84783*f**3 - 8*f - 3*f as z*f**3 + u*f + q*f**2 + n and give u.
-11
Express (1 + 0 + 9)*(-q + 3*q + 0*q)*(18*q**3 - 4*q**3 - 5*q**3)*(5 - 1 - 3) in the form i*q + b + j*q**3 + o*q**4 + u*q**2 and give o.
180
Rearrange -4*l - 86 - 58 + 4*l + 2*l**2 - 1 to the form w + f*l**2 + k*l and give f.
2
Rearrange (-79*u**2 + 2*u**3 - 7556 + 7556)*(2*u + 0*u + 4*u) to h*u + v*u**4 + c*u**3 + k + t*u**2 and give c.
-474
Rearrange (-3*f - 4*f - 69 + 66)*(-2 + 2 - 3) to the form i*f + o and give i.
21
Rearrange -j - 9 + 3 - 10 to g + f*j and give g.
-16
Express (-2*a + 0*a + 0*a)*(3*a - 43*a - 372*a) as g + i*a**2 + z*a and give i.
824
Rearrange 3 - 1 - 46*r + 6 + 0 + 17*r to h + d*r and give d.
-29
Rearrange (-5 + 5 + 3*o)*(-o**3 - 2*o + 2*o) + 317*o**2 + 498*o**2 - 545*o**2 - o**4 to c*o**3 + d*o + n + h*o**4 + v*o**2 and give h.
-4
Rearrange m - 2*m + 0*m + (1 - 4 + 1)*(3*m - m - m) - 2*m - 13 + 13 + m + 6*m - 8*m to o + q*m and give q.
-6
Rearrange -63 + s + 5*s**3 + 125 + s**2 - 62 to the form n*s + x*s**3 + m*s**2 + k and give n.
1
Rearrange -f**3 + 0*f**3 - 5*f**3 + 6 - 3 + 2*f to v + y*f**2 + c*f**3 + u*f and give u.
2
Express (-1 - 33*b**3 + 52*b**2 - 100*b**3 + 137*b**3)*(4 - 4 + b) in the form k + c*b**4 + f*b + a*b**3 + q*b**2 and give f.
-1
Rearrange q**3 - 6 - 17*q - 7*q + 28*q to the form s*q + y*q**3 + l*q**2 + d and give y.
1
Express -2*f + 2*f - 189*f**2 + 184*f**2 - 9*f**3 - 4 as v*f**2 + c*f + w + q*f**3 and give v.
-5
Express -60*b - 2*b**3 - 3*b**4 - 3 + 56*b - 2*b**2 + 5*b**4 as u*b + g*b**2 + t*b**3 + w*b**4 + j and give w.
2
Express (0*z + z - 3*z)*(209 + z**2 - 415 + 208 + 104*z**3) as b*z**3 + f + p*z + a*z**2 + y*z**4 and give p.
-4
Express (-291 + 291 - 662*t + (-3 - 3 + 4)*(t - 2*t - t))*(2*t**2 - 4*t**2 + 0*t**2) in the form i*t + d*t**3 + u*t**2 + z and give d.
1316
Express (0*q + 2*q - q - 3*q - 2*q + 4*q + (4 - 1 - 1)*(-2 + 2 + q) + 2*q + 4*q - 5*q)*((0 - 3 + 2)*(5 + 18 + 1) - 3 + 1 - 1) in the form t + o*q and give o.
-81
Express -5 - 29*o**2 + 36*o**2 - 4*o + 2*o + 33*o**2 as k*o**2 + y + w*o and give w.
-2
Express (-5 - 3 + 6)*(7 + 3 - 12)*((1 + 2 - 1)*(-2*u - u + 2*u) + u + u - 3*u - 2*u + 1 - 1 + 3*u - 1 + 1) as t*u + x and give t.
-8
Express 0 - 178*c - 4 + 179*c + 3 in the form y*c + i and give i.
-1
Rearrange 799*p**2 + 801*p**2 - 552*p - 2395*p**2 + 797*p**2 to w*p**2 + b*p + q and give b.
-552
Express 62432 - 62432 + 557*n**2 as g*n + j + z*n**2 and give z.
557
Express -43 - 50 + 94 - 4*c - 40*c as n + p*c and give p.
-44
Rearrange (-5*h + 3 - 3)*(951*h - 781*h + 1002*h) to g + p*h + d*h**2 and give d.
-5860
Rearrange d**3 - 24*d**3 - 8580 - 16*d**2 + 8580 to the form l*d**3 + u + i*d**2 + r*d and give i.
-16
Express 9*h - 24*h + 5*h + 10*h - 1233*h**2 as n + c*h**2 + v*h and give v.
0
Express (-30 + 18 - 12)*(0*a**2 + a**2 + 0*a**2) as j*a**2 + t*a + d and give j.
-24
Rearrange (-4 + 5 + 2)*(122 + 24*v - 122 + (2*v + 0*v - v)*(-1 + 2 + 1) - 5*v + 3*v + 4*v + v + v - 3*v)*(-121 - 40 + 49) to i + u*v and give u.
-9072
Rearrange (-2 + 2 + 2*t)*(-2 + 6 - 2)*(-1161*t - 48*t**2 + 1161*t) to u*t**2 + h + y*t + k*t**3 and give u.
0
Rearrange (-3 + 3 + 3*t**2)*(0*t - 20*t + 0*t) to k*t**2 + g + x*t + c*t**3 and give c.
-60
Rearrange (-k**2 + 13*k - 13*k)*(-3 - 3 + 7)*(-22 - 22 - 30) + (5*k - 2*k - k)*(3*k - k + 0*k) to v*k + h*k**2 + o and give h.
78
Express 0 + 0 - r + (r + r + 0*r)*(-3 + 0 + 1) - 2*r + 4*r - 3*r + r + 3*r - 2*r - 421*r + 82*r - 105*r in the form p + w*r and give w.
-448
Rearrange -4*d + 13 + 2*d + 7*d - 2*d to the form a*d + w and give a.
3
Express 0 + 0 + 2*b + (-4 + 5 + 0)*(-3*b - 5*b + 28*b) - 3 + 3 - b in the form z*b + j and give z.
21
Express 3774*g**4 - 11 + g**2 - 2*g**3 - 3771*g**4 + g + 8 in the form n*g**3 + m*g**4 + k*g**2 + u + c*g and give k.
1
Rearrange (2*o - 1 + 1)*(-515*o**3 + 937*o**3 - 197*o**3) to the form p*o**3 + l*o**2 + m + g*o + f*o**4 and give f.
450
Express 24*u - 88 - 3*u - 19*u as z + k*u and give k.
2
Rearrange 13 - 7 - 6 - 129*m**2 - 142*m**2 to the form g + j*m**2 + z*m and give g.
0
Express (-3*l**3 - 2*l**3 + 12*l**3)*(-7*l - 5*l + 5*l + 2*l - 5*l + l + (3*l - l - 4*l)*(1 + 5 - 4)) as a*l**2 + z*l**4 + j*l**3 + o + d*l and give z.
-91
Rearrange (-4 + 2 + 0 + 2*n)*(-1190*n + 655*n - 784*n) to the form s + b*n**2 + d*n and give d.
2638
Rearrange (-d + d - d)*(-6 - 5 + 4)*(2 - 4 - 2)*(8*d - 20*d + 0*d) to the form v*d + r*d**2 + b and give r.
336
Express 3*k**2 + 3 - 2*k**3 - 3 + (k - 4 + 4)*(-8343*k + 8343*k - 182*k**2) in the form l*k**2 + q + y*k + t*k**3 and give t.
-184
Rearrange (-6 + 5 + 5)*(-3*l + 2*l + 2*l)*(2*l**3 - 3*l + 3*l)*(11 - 28 + 100) to the form u*l**2 + j*l**4 + z*l**3 + v + a*l and give j.
664
Express -60 - 4*f**2 - 127 - 119 + 58 as t + a*f**2 + u*f and give t.
-248
Rearrange -8*u**4 - 8 + 0*u**2 + 2*u**2 + 0*u**2 + 8 + 3 to w + h*u**2 + j*u**3 + o*u + l*u**4 and give l.
-8
Express -5*h + 1 + 4*h**2 + 16*h**2 - 11*h**2 as c*h**2 + n + r*h and give r.
-5
Express 3601*m - 3602*m + 17*m**4 + 4 - 6 + m**2 + 17*m**3 as z*m**3 + g*m**2 + t*m**4 + u*m + v and give t.
17
Rearrange (-26 + 26 - 9*y)*(5*y**2 + 3*y**3 - 5*y**2)*(-8 - 7 + 14) to the form b*y**3 + r*y + v*y**2 + w*y**4 + a and give w.
27
Rearrange -c - 26*c**3 - c + c**3 - 3 + 11*c**3 - c**2 to k*c**3 + y + b*c + f*c**2 and give f.
-1
Rearrange 4 - 2 - 1 - s**3 + (-10 + 72*s - 152*s + 54*s)*(5*s**2 - s**2 - 3*s**2) to the form k*s**2 + g*s**3 + r + c*s and give k.
-10
Rearrange (-7*u**3 + 441*u
|
{
"pile_set_name": "DM Mathematics"
}
|
Is (0 + (-6)/k)/((-11)/44) even?
True
Let b = 5735 - 4672. Does 18 divide b?
False
Suppose 0 = 2*u - 5*x - 3770, 5*u + 2*x - 7134 = 2320. Suppose 11*h = -3*h + u. Is 10 a factor of h?
False
Suppose -24 = -4*i, 0 = 3*a + 8*i - 13*i - 4083. Is a a multiple of 59?
False
Suppose 0 = 4*p + 82 - 94. Suppose 12*k - 411 = -j + 14*k, k = -p. Does 15 divide j?
True
Let i be (16 - 1)*(-9)/(-15). Suppose -i*l = -14 + 77. Let h = l + 20. Does 12 divide h?
False
Let t = 618 - 414. Suppose -5*k + t = -171. Is k a multiple of 5?
True
Suppose x + t + 4 = 43, 0 = -5*x + 5*t + 205. Is 1/5 + 26872/x a multiple of 14?
True
Suppose -7*g = -9*g - 54. Let s = g - -32. Suppose s*r - 150 = -r. Is r a multiple of 5?
True
Suppose -4*j = -4*f + 8, 4*f - 3*j - 2*j - 6 = 0. Suppose -2*x + 816 + 511 = -r, f*r - 1996 = -3*x. Is x a multiple of 8?
True
Let f be (32/(-3))/(-8) - (-848)/3. Suppose h = 2*w - f, -3*w + 8*w - 3*h - 708 = 0. Is w a multiple of 24?
True
Suppose 2*q + 4*z = 44698, -44*z + 89426 = 4*q - 46*z. Is q a multiple of 17?
True
Is (-4280848)/(-407) - (-112)/(-2072) even?
True
Suppose -64*i - 79590 = -78*i. Does 21 divide i?
False
Let r(k) = 15*k - 9. Let w = 5 - 3. Let f be 10 + 0*w/6. Is r(f) a multiple of 47?
True
Let t(z) = 3*z + 13. Let a be t(-21). Let m = a - -52. Suppose -5*w - 3*k = 2*k - 90, m*w + 3*k - 34 = 0. Is w a multiple of 5?
True
Let o(n) = -2*n**2 + 9*n + 17. Let d(g) be the third derivative of -g**5/60 + g**4/24 + g**3/6 + 3*g**2. Let w(q) = -6*d(q) + o(q). Is w(5) a multiple of 42?
True
Let r = 21893 + -2911. Does 7 divide r?
False
Let w(z) = -z**3 - 52*z**2 - 921*z. Is 10 a factor of w(-27)?
False
Let d = -355 - -352. Suppose 4 = k + 10. Is (-4 - (-4 - 76))*d/k a multiple of 20?
False
Suppose -18*u + 36789 - 5301 = 30*u. Does 118 divide u?
False
Suppose -135930 = -10*o - 335*o. Is o a multiple of 5?
False
Suppose -3*q = -2*a + 15694 + 29708, -q - 22698 = -a. Is 12 a factor of a?
True
Let v be 18/10 + (-5)/(-25). Suppose 0 = -5*b + v*t + 12, t = 4*b - 4*t + 4. Suppose 155 = b*i - 5*p, 0 = -2*i - 3*p - 17 + 78. Is 7 a factor of i?
True
Let g be 434/35 - 8/20. Suppose -g = 4*a, -3*a - a = -4*d + 112. Does 5 divide d?
True
Let c be (6/9)/((-1)/(-597)). Let d = -132 + c. Let p = -134 + d. Is p a multiple of 33?
True
Let r(v) = -13*v + 6. Let p = 56 - 62. Does 21 divide r(p)?
True
Let j = 65 - 62. Suppose -j*z = -4*s - 0*z + 16, 0 = 3*s + 5*z + 17. Does 9 divide ((-60)/16)/(s/(-12))?
True
Suppose -34203 = -5*c + 1839*t - 1836*t, 0 = -5*c + 2*t + 34202. Is c a multiple of 9?
True
Suppose 10*r - 9472 - 36938 = 0. Suppose -61*l + 64*l = r. Is 13 a factor of l?
True
Let r(j) = 10*j**2 - j - 301. Is 70 a factor of r(-20)?
False
Let c(s) = 131*s**2 - 12*s + 7. Let b be c(3). Let i = b - 748. Is i a multiple of 19?
False
Suppose b - 5*f - 6411 = 0, 0 = -5*b - 5*f + 27740 + 4105. Is b a multiple of 73?
False
Let a = 225 + -157. Let t = a + -65. Does 13 divide 0 + 173 - (-20)/(-15)*t?
True
Let j = 167 - 162. Suppose 8*l - j*l = 567. Does 7 divide l?
True
Let n(b) = -2*b**3 + 14*b**2 + 12*b + 7. Let z be n(9). Let t = -41 + z. Let u = 481 + t. Does 31 divide u?
False
Let r(a) be the first derivative of 2*a**3/3 - 5*a**2/2 - 16*a + 133. Does 24 divide r(8)?
True
Let o(f) = -2*f**3 + 8*f**2 - 3*f - 19. Let u be o(-7). Suppose -18*p = -19*p + u. Is p a multiple of 70?
False
Let s(p) = 34*p - 24. Let g(b) = -8*b + 6. Let m(d) = -18*g(d) - 4*s(d). Does 3 divide m(6)?
True
Suppose -4*y + 750 = 2*u, -3*u + 4*u = 2*y - 385. Let k be ((-7)/(-14))/(2/(-500)). Let d = y + k. Does 13 divide d?
True
Let k be 1*(99 + 4 - 2). Let f = k + -66. Suppose -17*d = -12*d - f. Is 5 a factor of d?
False
Let k(t) = 2*t + 17. Let y be k(4). Suppose -3*j - y + 6 = -4*v, 3*v - 3*j = 15. Suppose -v*p + 88 = h + h, 3*h - 132 = 2*p. Does 9 divide h?
False
Suppose -93*y = -90*y - 9. Suppose 4*f + 43 = y*d + 1120, -3*f + d + 809 = 0. Is 15 a factor of f?
True
Suppose 0 = 36*z - 219414 - 176151 - 896979. Is z a multiple of 22?
True
Let p(l) = -2*l + 36. Let q be p(22). Let b be (-1 - (-16 - -1)) + 10 + q. Suppose 18*k = b*k + 58. Is k a multiple of 6?
False
Suppose -41835 = -4*o + d, -16*d = -3*o - 12*d + 31360. Does 20 divide o?
True
Let k = -90905 + 127532. Does 45 divide k?
False
Let g be 12*12/(-78) - (-2)/(-13). Is g - (1840/(-5) - -6) a multiple of 24?
True
Suppose -4*s + 181 = -111. Let u = 83 - s. Suppose 0 = 15*c - u*c - 840. Does 42 divide c?
True
Let i(b) = -42*b**2 + 1387*b - 33. Let v be i(33). Let a(f) be the first derivative of -f**2/2 + 73*f - 1. Is a(v) a multiple of 14?
False
Let z(o) = -9 - 9 + 60*o**2 - 3 - 3 + 6*o - 6. Does 17 divide z(-5)?
False
Suppose -5*m + 2*r = -214, -r - 188 = -4*m - 5*r. Suppose 404 = 4*v - 4*h - m, -3*h = 0. Suppose 3*f = 4*c + 196, 4*c = 4*f - v - 156. Does 12 divide f?
True
Suppose n - 334 = -2*s, n = -5*s + 401 - 49. Does 6 divide n?
False
Suppose 0 = -5*r - 3*o + 30585, 63*r + 4*o + 30620 = 68*r. Is r a multiple of 24?
True
Let a(k) be the first derivative of -3*k**4/2 - 3*k**3 + 7*k**2 + 22*k + 213. Is a(-4) a multiple of 103?
True
Suppose -d - 1337 = 5*l + 2*d, -3*l = -d + 791. Suppose 0 = 4*k - 1135 - 417. Let a = l + k. Is a a multiple of 25?
False
Is (7 + 11 - 69)/(3/(-142)) a multiple of 71?
True
Is 5 a factor of (-3 - 88/(-11))*(-3)/(3/(-319))?
True
Let o be 2/4 - (-3)/18*33. Suppose 5*v = -10, -o*f + 3*v + 86 = -5*f. Is 4 a factor of f?
True
Let j(g) = g**3 + 23*g**2 + 8*g + 31. Let l be j(-24). Let d = l - -1871. Does 42 divide d?
True
Let c(s) = -s**3 - 3*s**2 + 2*s + 3. Let o be c(-6). Suppose 4*y + 4*a - 456 = -0*y, -2*y + 5*a + 228 = 0. Let g = y - o. Is 5 a factor of g?
True
Let u(d) = -d**3 - 10*d**2 + 13*d + 23. Let g be (-11)/(-2)*(-5)/(20/8). Let a be u(g). Is (a - (-8)/40)*10/4 a multiple of 2?
False
Suppose -9227 = -2*o - 4*u + 4289, 2*o + 5*u - 13513 = 0. Does 43 divide o?
False
Suppose 2*h = -3*x - 0 - 2, -x = 4*h + 14. Suppose 0 = -4*b - 3*q + 554, -2*q - 2 - x = 0. Is 28 a factor of b?
True
Suppose 0 = 101*i - 76*i - 906725. Is i a multiple of 14?
False
Suppose -y + 549 = -2*f, 2*f - 2*y - 57 = -607. Let r = 717 + f. Is 91 a factor of r?
False
Let i = 553 + -398. Let g = 820 - i. Is 48 a factor of g?
False
Suppose -4*h + 3*j = -h - 951, -3*j - 1273 = -4*h. Suppose -5*s + h = -5*r + 8*r, r - 3*s - 112 = 0. Does 5 divide r?
False
Suppose 2*j - 8*j - 156 = 0. Let t = -20 - j. Suppose -q + 7 = -t. Is q even?
False
Let c(y) = 7*y**3 - 4*y**2 + 9*y - 6. Let m(h) = 23*h**3 - 13*h**2 + 29*h - 18. Let f(t) = 7*c(t) - 2*m(t). Does 10 divide f(2)?
True
Let h(n) = 3*n**2 + 3*n - 7. Let c be h(-4). Let d = 27 - c. Does 13 divide (0 + 65/d)*(2 + -4)?
True
Let i be (9 - 0 - (3 - 0)) + 3. Suppose -1031 + 383 = -i*h. Is 4 a factor of h?
True
Suppose 0 = -v - 2, 5*v + 10 = 5*g. Suppose 0*h - s - 86 = 5*h, -5*h + 5*s - 110 = g. Let w(d) = d**2 + 4*d + 14. Is w(h) a multiple of 45?
False
Let o(n) = n**2 + 4*n + 3. Let t(x) = x**2 + 4*x - 5. Let m be t(-4). Let q be o(m). Let a(v) = v**2 - 6*v + 11. Is 9 a factor of a(q)?
True
Let k(j) = -j**2 - 3. Let w be k(0). Is w - 607/(-11) - 2/11 a multiple of 11?
False
Let j be 116/16 + 3/(-12). Let n(t) = -70*t + 12. Let d be n(j). Is 7/56 - d/16 a multiple of 10?
True
Let d = 4 - -1. Suppose -d*f - 3*r = 12 - 5, 3*r + 3 = -3*f. Does 24 divide 0 - 9*16/f?
True
Suppose -44 - 58 = -17*w. Is 25 a factor of -124*(w - 31/2)?
False
Suppose -311 = 2*w + 5*v + 177, 1254 = -5*w - 4*v. Let t = -164 - w. Let j = -40 + t. Does 10 divide j?
True
Suppose 343*p - 352*p + 298710 = 0. Does 101 divide p?
False
Suppose 9*b - 4*b - 9425 = -5*w, 0 = b + 4*w - 1888. Does 4 divide b?
True
Let n(l) = 16*l**2 + 36*l - 170. Is 19 a factor of n(18)?
True
Suppose 2*x - 2802 = 5*u, 4*x = -x - 5*u + 6970. Does 8 divide x*(-8)/(-32) - -2?
False
Let m(y) = y**2 - 3*y - 39. Suppose 5*i = 5*f - 35, f - 4*i + 0*i = 22. Let z(t) = 3*t**3 - t**2 - 4*t + 5. Let b be z(f). Is 14 a factor of m(b)?
False
Let x(a) = a**3 - 13*a**2 - 2*a + 130. Let v(m) = 17*m - 427. Let t be v(26). Does 22 divide x(t)?
True
Let a = 46 - 46. Suppose 2*m - 2*q - 60 = a, 150 = 3*m + 2*m + 2*q. Suppose 0 = -2*z + 2 + m. Is z a multiple of 4?
True
Let x be 63 + -3 + (-8)/4. Suppose u + 50 - x = 0. Is (u/(-20))/(1/(-45)) even?
True
Is 81 a factor of (
|
{
"pile_set_name": "DM Mathematics"
}
|
-s**3 + 67*s**2 + 1444*s - 96436. What is v(67)?
312
Let s(m) = m**3 + 3*m**2 - 3*m + 175. What is s(-14)?
-1939
Let d(j) = -j**2 - 10241*j - 14642500. Calculate d(-1718).
14
Let v(d) = -d**2 + 244*d + 3515. Determine v(-17).
-922
Let c(i) = -342*i**2 + 3760*i + 35. Give c(11).
13
Let z(u) = 29*u**2 - 2400*u - 2407. Determine z(-1).
22
Let t(a) = -108*a**2 + 421*a + 53. Determine t(4).
9
Let u(y) = y**3 - 22*y**2 - 2389*y - 226. Give u(-39).
164
Let u(a) = -a**3 + 134*a**2 - 4390*a + 238. What is u(77)?
161
Let b(n) = -n**2 - 1410*n - 89987. Give b(-67).
-6
Let h(r) = -4397*r + 153946. Determine h(35).
51
Let o(u) = 1098*u + 69087. What is o(-63)?
-87
Let t(y) = -y**3 + 30*y**2 + 843*y - 91. Give t(-18).
287
Let i(c) = -2*c**3 + 295*c**2 - 731*c + 339. What is i(145)?
-531
Let u(h) = 5*h**2 + 5628*h + 16841. Give u(-3).
2
Let y(v) = 3*v**2 + 5498*v + 43796. Give y(-8).
4
Let c(m) = 1640*m + 11695. Determine c(-7).
215
Let x(s) = -5*s**2 + 22*s + 334. Determine x(-10).
-386
Let d(x) = 22*x - 1267. Give d(43).
-321
Let k(v) = -220*v - 2121. What is k(-4)?
-1241
Let v(g) = -15572*g + 125033. Calculate v(8).
457
Let s(p) = 3*p**2 + 175*p + 1302. Determine s(-9).
-30
Let o(d) = -146*d**2 + 555*d + 12. Determine o(4).
-104
Let v(m) = -m**3 + 2593*m**2 + 325555*m - 599. Determine v(-120).
1
Let l(d) = 29755*d - 386869. Determine l(13).
-54
Let z(g) = -4146*g + 427044. Determine z(103).
6
Let n(f) = -5*f**3 - 653*f**2 - 4911*f - 30. Give n(-8).
26
Let x(m) = -741*m**2 + 9. What is x(1)?
-732
Let u(r) = -166*r - 4302. Determine u(-26).
14
Let u(b) = b**3 + 240*b**2 - 10577*b - 3866. Give u(-278).
-252
Let j(i) = i**3 - 113*i**2 + 1277*i + 297. Calculate j(13).
-2
Let h(x) = -x**3 - 89*x**2 + 943*x - 2232. Determine h(6).
6
Let z(x) = -3*x**3 - 33*x**2 + 268*x - 2. Determine z(8).
-1506
Let u(i) = -51083*i + 4648547. Determine u(91).
-6
Let l(i) = -52602*i + 6364841. Determine l(121).
-1
Let l(n) = -12*n**2 - 103*n + 33. What is l(-9)?
-12
Let b(d) = d**3 - 60*d**2 + 106*d + 2593. What is b(57)?
-1112
Let k(g) = -g**2 + 197*g - 6815. Determine k(45).
25
Let q(a) = 239*a + 1426. Calculate q(-6).
-8
Let m(s) = 1846*s + 267667. Determine m(-145).
-3
Let m(j) = -j**2 + 4091*j + 12279. Determine m(-3).
-3
Let j(g) = 136*g + 2028. Calculate j(-13).
260
Let k(x) = 2*x**2 - 1439*x + 167467. Determine k(146).
5
Let k(s) = 3157*s - 113785. Calculate k(36).
-133
Let d(c) = -14*c**2 + 997*c - 7919. Calculate d(9).
-80
Let f(b) = 15525*b - 16223627. Give f(1045).
-2
Let q(k) = 2*k**3 - 1523*k**2 + 3774*k + 15966. Calculate q(759).
27
Let n(w) = -5697*w**3 - 8*w**2 - 6*w + 10. Determine n(1).
-5701
Let x(g) = 87*g**2 + 345*g + 64. What is x(-4)?
76
Let p(d) = -160212*d - 2563390. Give p(-16).
2
Let s(r) = r**3 + 10*r**2 + 273*r + 2869. Calculate s(-10).
139
Let o(m) = -m**2 - 41652*m + 1125327. Give o(27).
-6
Let i(q) = -13394*q**2 - 40262*q - 4. Determine i(-3).
236
Let n(z) = 2*z + 161. Determine n(-77).
7
Let a(m) = -55*m + 3287. Give a(69).
-508
Let o(i) = 4279*i + 746. Calculate o(0).
746
Let i(k) = -1637*k - 157092. Give i(-96).
60
Let i(m) = -168*m**2 - 93649*m - 40665. Calculate i(-557).
-4
Let q(u) = -2272*u - 10602. Calculate q(-3).
-3786
Let y(j) = -11*j**3 - 3*j**2 - 400*j - 2650. Determine y(-7).
3776
Let v(y) = 2*y**2 + 218*y + 437. What is v(-2)?
9
Let r(l) = l**2 - 6902*l - 3331815. Calculate r(-453).
0
Let t(f) = -14*f**3 + 36*f**2 + 211*f - 1241. Determine t(6).
-1703
Let n(q) = -q**3 + 22*q**2 - 66*q - 184. Give n(8).
184
Let v(y) = y**3 - 29*y**2 + 13*y - 210. Give v(30).
1080
Let h(m) = 8*m**2 + m - 1650. Determine h(0).
-1650
Let v(j) = 150*j**2 + 1504*j + 59. Give v(-10).
19
Let h(s) = 2*s**3 - 1240*s**2 - 382*s + 236875. What is h(620)?
35
Let k(w) = -6692*w + 287799. Calculate k(43).
43
Let p(h) = -28*h**2 + 7726*h + 246. Determine p(276).
-306
Let b(f) = -22*f - 1979. Give b(-99).
199
Let x(l) = -5*l**2 + 25*l - 131. Calculate x(5).
-131
Let n(k) = 139*k**2 - 47960*k - 46361. Calculate n(346).
3
Let m(t) = -81652*t + 81656. Calculate m(1).
4
Let y(m) = 1215*m + 112873. What is y(-93)?
-122
Let z(y) = 3136*y - 486225. What is z(155)?
-145
Let z(m) = 2*m**3 - 1481*m**2 + 37171*m - 447. Calculate z(26).
-5
Let i(t) = -4*t**3 - 187*t**2 - 688*t - 7. What is i(-4)?
9
Let f(o) = -1773*o + 410999. Determine f(232).
-337
Let u(d) = -d**2 - 80*d - 1260. Calculate u(-50).
240
Let f(y) = -6358*y + 495932. What is f(78)?
8
Let o(u) = 4*u**2 + 21*u - 1915. Determine o(-26).
243
Let r(h) = -2*h**3 - 623*h**2 + 1572*h + 735. Determine r(-314).
107
Let k(t) = -t**3 + 108*t**2 + 49*t + 6605. Determine k(109).
65
Let z(u) = -7*u**2 - 810*u + 78. Give z(-116).
-154
Let v(u) = -47*u**2 + 285*u - 37. Calculate v(4).
351
Let l(g) = -9075*g - 1597210. Determine l(-176).
-10
Let h(n) = 512*n - 14647. Give h(29).
201
Let u(w) = -30*w**3 - 336*w**2 + 152*w + 2401. Give u(-11).
3
Let s(u) = -u**2 - 30661*u - 245216. Determine s(-8).
8
Let x(h) = 635*h + 205913. What is x(-324)?
173
Let f(o) = -7*o**2 + 405*o + 7650. Give f(-15).
0
Let l(t) = 3480*t + 139452. Calculate l(-40).
252
Let x(v) = v**3 + 939*v**2 - 11534*v - 116012. What is x(-951)?
10
Let c(u) = -4*u**2 - 1138*u - 4589. Calculate c(-4).
-101
Let d(v) = -2*v**2 + 2354*v + 195600. Calculate d(-78).
-180
Let u(h) = 4*h**2 + 518*h + 7645. Calculate u(-17).
-5
Let b(k) = -8534*k + 76974. What is b(9)?
168
Let o(g) = g**3 - 60*g**2 - 61*g + 146. What is o(61)?
146
Let j(y) = 170037*y + 680145. Calculate j(-4).
-3
Let o(q) = -12*q**3 - 797*q**2 - 11098*q + 836. Calculate o(-20).
-4
Let t(p) = -41*p**3 - p**2 + 34*p - 66. Give t(2).
-330
Let m(h) = -h**2 - 153*h - 5800. Give m(-85).
-20
Let z(j) = 13291*j + 159535. Give z(-12).
43
Let l(z) = -738*z - 34706. Calculate l(-48).
718
Let z(c) = -4276*c - 3355. Determine z(-1).
921
Let i(z) = -2*z**2 + 1545*z - 275376. Determine i(279).
-3
Let h(c) = -67*c**3 - 6*c**2 + 76*c + 81. Give h(-1).
66
Let b(r) = 5646*r + 67765. Determine b(-12).
13
Let b(n) = -929*n - 21265. Determine b(-23).
102
Let h(k) = 40523*k - 121492. What is h(3)?
77
Let b(r) = -r**3 + 12*r**2 - 31*r + 1234. What is b(16)?
-286
Let s(q) = -q**3 + 66*q**2 - 274*q + 5360. What is s(63)?
5
Let z(w) = 3445189*w + 58568222. Give z(-17).
9
Let p(m) = 3596*m + 21668. What is p(-6)?
92
Let n(b) = 120*b - 34894. Calculate n(291).
26
Let p(l) = l**3 + 23*l**2 - 6698*l + 1712. What is p(71)?
8
Let y(u) = 9*u**3 + 57*u**2 + 27*u - 19. Give y(-6).
-73
Let y(h) = -11140*h + 45785. Give y(4).
1225
Let j(k) = -117*k**2 - 2221*k + 29529. Calculate j(-28).
-11
Let n(i) = 2370*i - 16639. What is n(7)?
-49
Let k(t) = -122*t**2 - 816*t + 265. Calculate k(-7).
-1
Let j(w) = -3*w**2 - 538*w + 2837. What is j(5)?
72
Let z(y) = -74116*y + 33055741. Calculate z(446).
5
Let j(m) = -52*m**2 + 4191*m + 44007. What is j(90)?
-3
Let c(t) = -145*t + 3486. What is c(18)?
876
Let q(d) = -28*d**2 - 135*d - 133. What is q(-1)?
-26
Let h(c) = c**3 - 52*c**2 - 442*c - 2239. Give h(60).
41
Let n(a) = 6*a**2 + 1614*a + 14040. Calculate n(-9).
0
Let t(c) = c**3 + 48*c**2 - 1026*c - 51397. What is t(-46)?
31
Let o(c) = 33*c**2 + 666*c - 1330. What is o(2)?
134
Let b(x) = 100*x - 3611. Give b(37).
89
Let n(t) = 100717*t + 2719356. Give n(-27).
-3
Let d(k) = k**2 - 92*k - 442. Determine d(109).
1411
Let c(o) = o**3 - 426*o**2 - 39897*o + 965. Calculate c(505).
-45
Let z(u) = -u**2 + 209*u - 4828. Determine z(27).
86
Let a(t) = -6*t - 377. Calculate a(-35).
-167
Let g(n) = n**3 + 81*n**2 - 269*n - 1627. What is g(-84)?
-199
Let v(y) = -227806*y - 911229. Determine v(-4).
-5
Let n(b) = -25*b**2 - 736*b + 1199. Calculate n(-31).
-10
Let o(a) = -a**2 + 244*a + 13000. Determine o(289).
-5
Let n(q) = 4*q**3 + 334*q**2 - 330*q + 15334. Calculate n(-85).
34
Let m(d) = 10*d**2 - 2211*d - 1986. What is m(222)?
12
Let o(a) = -180*a + 11628. Calculate o(64).
108
Let t(p) = -18*p**2 - 4506*p - 43181. What is t(-10)?
79
Let v(h) = -18*h**2 - 387*h - 1115. Determine v(-18).
19
Let h(l) = -43*l**2 - 48*l - 230. Give h(-5).
-1065
Let g(w) = 33297*w + 332950. Determine g(-10).
-20
Let j(b) = 1911*b + 69109. What is j(-36)?
313
Let u(a) = a**3 + 77*a**2 - 485*a + 406. What is u(-83)?
-673
Let l(b) = b**2 + 182*b - 1398. Determine l(10).
522
Let z(r) = -8131*
|
{
"pile_set_name": "DM Mathematics"
}
|
+ y**2 - y + 0*y**3 in the form f*y + i*y**3 + m + c*y**2 and give m.
1
Rearrange 19 + 10*h - h - 19 to u + g*h and give g.
9
Express 11*o**2 - 3*o**2 - 2 + 11*o**4 - 9*o**2 + 11*o**4 in the form m*o**4 + j*o**2 + y*o + g*o**3 + f and give m.
22
Rearrange 2*t**3 + 2*t - t**2 - 1 + 4*t**2 - t**2 - t to the form y + v*t + o*t**3 + d*t**2 and give v.
1
Express 40*m**2 - m + 47*m**2 - 80*m**2 as v*m + t*m**2 + o and give t.
7
Rearrange 17*t - 2 - 10*t + 0 - t**2 + 2*t**4 - 5*t - 2*t**3 to v*t**3 + d*t**4 + h*t**2 + r*t + j and give v.
-2
Express -3*o + 4*o + 3*o + 0*o in the form j*o + z and give j.
4
Express (6*k**2 - 2*k**2 - k**2)*(-51 - 11 + 4)*(3 - 1 + 0) as b*k + c*k**2 + q and give c.
-348
Express -2*m**2 + 12*m + 15*m - 27*m - 4 as q + g*m + x*m**2 and give q.
-4
Express 0*y**2 - 2*y**2 - 2*y - 1 - 32*y**3 + 33*y**3 + 4*y**2 as c*y + o*y**3 + x + i*y**2 and give i.
2
Express (2 - 1 + 0)*(3*k + 4*k - 6*k + (1 + 2 - 2)*(k + 0*k + 0*k) + 5*k + 2*k - 5*k)*(k**2 - 3*k**2 - k**2) in the form q*k + t*k**2 + s*k**3 + o and give s.
-12
Rearrange 3 + 1 - 30*z - 4 to i*z + j and give i.
-30
Express (11*u + 13*u - 7*u)*(-u + u - 2*u) + 8 - 8 - 5*u**2 as j + o*u + r*u**2 and give r.
-39
Rearrange 32*j**3 - 14*j**3 - 17*j**3 - j**4 + 3*j**2 + 3*j**2 to o*j**3 + b + s*j**4 + n*j + v*j**2 and give o.
1
Express 2*k**2 - 5*k**2 - 3*k**2 in the form s*k + z*k**2 + q and give z.
-6
Express -1 - 8*x**3 + 4*x + 0*x - 3*x + 3*x**3 in the form b*x**3 + r*x + s + c*x**2 and give s.
-1
Rearrange -3*a + a + 4*a + 2*a + 2 - 2 + (-2 - a + 2)*(-3 + 0 + 2) + 4*a - 1 + 1 + 1 - 2*a - 1 to the form y*a + w and give w.
0
Rearrange 4*k + 0*k - 2*k + 6*k - 2*k - 2*k + (1 - 5 + 3)*(5*k + k - 4*k) + 0*k + 0*k + k + 3*k + 3*k + k + (2 - 3 - 1)*(3*k + k - 2*k) to l*k + b and give l.
6
Express (2*l + 0 + 0)*(-l + 1 - 1 + 3 - 3 - 2*l + (-l + l + l)*(-1 + 2 + 0)) in the form p + n*l**2 + a*l and give n.
-4
Express -z**2 + z**2 + z**3 + (-z - 2*z**2 + z)*(z + 3*z - 3*z) - z**3 - 3*z**3 + 3*z**3 as p + y*z**3 + d*z**2 + m*z and give y.
-2
Express -2*g**4 + 42*g**2 - 84*g**2 + 41*g**2 - 13*g in the form k*g**2 + p*g**4 + u*g**3 + x*g + f and give x.
-13
Rearrange -1 - 5*i**2 + i + 3 + 3*i**2 - 3*i**2 to h*i**2 + z + k*i and give z.
2
Express 2*j**2 + 48*j**4 - 8*j**3 - 49*j**4 - 1 + j + 1 as y*j**4 + c*j**3 + i*j**2 + r + b*j and give i.
2
Rearrange 5*v**2 - 158 + 158 to the form p*v**2 + t*v + h and give p.
5
Express 3*u - 2*u + 3*u as a + b*u and give b.
4
Express (21 + 2 + 9)*((2*d - d - 3*d)*(6 - 3 + 1) + 0*d + 4*d - 3*d) in the form v*d + t and give v.
-224
Express (-2 + 4 - 3)*(2*t - 4*t + t) + (3 - 2 - 3)*(-t + 0*t + 0*t) - 2*t + 3*t - 2*t - 5*t - 4*t + 3*t as c + n*t and give n.
-4
Rearrange (12*t - 5 - 3 + 7)*(4*t**3 - 14*t**3 + 0*t**3) to g*t + n*t**4 + q + b*t**2 + o*t**3 and give o.
10
Rearrange (-3 + t + 3)*(0 + 0 - t**3) + (t**3 + 4*t - 4*t)*(-19*t - 98 + 98) to the form j*t**3 + u*t**2 + z*t + y*t**4 + q and give y.
-20
Rearrange 34 - 13 - 21 - 8*r - 5*r**2 to g*r + j*r**2 + p and give j.
-5
Rearrange -31*r - 92 - 30*r + 96*r - 33*r to j + y*r and give y.
2
Rearrange (-2 - 3 + 0)*(0*u - 5*u + 3*u) + 2*u + 8 - 2 - 1 to the form x*u + w and give x.
12
Rearrange -2 + 36*f + 3 - 1 to x*f + j and give x.
36
Rearrange (3 - 2 - 2)*(4*z - 3*z - 3*z) + (0*z + z + 0*z)*(2 - 3 + 0) + (4*z - z - 2*z)*(4 + 21 - 7) to d + w*z and give d.
0
Express (141*c**2 + 463*c**2 + 191*c**2 - 165*c**2)*(3 - 3 + 2*c) as k*c**3 + b + d*c**2 + m*c and give k.
1260
Rearrange 22*j**2 - 7*j**2 - 9*j**2 to the form g + u*j**2 + o*j and give u.
6
Express 7*s - 1 + 9*s - 4*s**4 - 17*s - 1 as b*s**3 + f*s**4 + m*s + z*s**2 + a and give a.
-2
Rearrange 9*j + 25*j - 16*j + 32*j to the form b + c*j and give c.
50
Rearrange (0*y + 0*y + y)*(y + 24*y - y + 5) to the form p + u*y**2 + l*y and give l.
5
Express (y - 4*y + 4*y)*(-1767 + 115*y + 1767) in the form s*y**2 + t + h*y and give s.
115
Express (q**4 - 4 + 4)*(3 - 1 + 0) + 3*q - 3*q + 2*q**4 + (-2 + 1 - 2)*(-4*q**2 + 3*q**4 + 4*q**2) in the form r*q**3 + l + u*q**4 + w*q + i*q**2 and give u.
-5
Express 4375*v - v**2 - 2 - 4375*v as i*v + s*v**2 + u and give u.
-2
Rearrange (-3*t + 0*t + t)*((0 + 2 + 0)*(0 - 5 + 4) + 3 + 0 - 2 - 16 + 24 + 27) to d*t + w and give w.
0
Rearrange 17 - 5 - 7 + 7*h**2 - h**3 - 3 to the form s*h**3 + a*h**2 + j + o*h and give j.
2
Rearrange 11*m + 10 - 2*m - 4*m to p*m + f and give f.
10
Rearrange (-7*k - 6*k + 4*k)*((5*k + k - 4*k)*(-3*k**2 + 5*k**2 - k**2) + 2*k**3 + 1 - 1) to the form d + f*k**2 + n*k + p*k**4 + h*k**3 and give p.
-36
Express -93*o**2 - 81*o**2 + 202*o**2 - 2 + 3*o in the form z*o**2 + j + u*o and give j.
-2
Rearrange (67*w + 50*w - 38*w)*(-5 + 5 - w) to the form y*w + g + q*w**2 and give q.
-79
Express 26 + x - 3*x + 4*x - 3*x as q + u*x and give q.
26
Express 2*u**4 - u + 6*u + 2*u**2 - u + u**3 in the form i*u**4 + d*u + v*u**2 + m + z*u**3 and give v.
2
Rearrange (-4*h**3 + 4*h**3 + h**3)*(3*h - h - h)*(-1 - 3 + 3 + (-15 + 11 + 10)*(0 + 0 + 4)) to r + v*h**2 + s*h + k*h**4 + o*h**3 and give k.
23
Rearrange (-4*t**3 - t**3 + 2*t**3)*(-4*t - t + 3*t) + 3*t**2 + 3 - t**4 + 3*t**4 - 5 to the form n*t + y*t**3 + f*t**2 + q*t**4 + w and give q.
8
Rearrange 0 - 1 - 3*i - 3*i**4 + i to the form s + w*i**4 + j*i**2 + n*i**3 + q*i and give w.
-3
Rearrange (-d - 3*d + 3*d)*(3*d - 2*d**3 - 3*d) + 2*d**4 - 4 - 2*d**3 + 4 + d**2 to the form o*d + a*d**3 + x*d**2 + f + j*d**4 and give x.
1
Rearrange (-6*m - m + 2*m - 2*m + 0*m + 0*m + (-3*m - m + 5*m)*(-1 + 0 + 4) + 2*m + 0 + 0)*(3 - 4 - 1) to g*m + v and give g.
4
Express 3*b**2 - 2*b**3 + 2*b - 2*b**2 + 5 + b**2 in the form f*b**3 + i*b + m + d*b**2 and give m.
5
Express 0 + 2 + 2*s**4 + 3*s**3 - s**3 + 0 as g*s**2 + v*s**3 + n*s + r*s**4 + t and give v.
2
Rearrange 0 + 0 + 2*z**4 + (3*z**2 - 4*z**2 - z**2)*(22*z**2 + 62*z**2 - 138*z**2) to j*z**4 + d*z**2 + l + b*z + x*z**3 and give d.
0
Rearrange (-2*x - 6*x + 4*x)*(2*x + x - 2*x) + (-3*x + 4*x + 0*x)*(-3*x + 3*x - 3*x) to f*x**2 + u*x + w and give f.
-7
Rearrange 11*v - 11*v + 39*v**2 + (2*v - 1 + 1)*(v - v + v) - 4 + 4 - v**2 to f*v**2 + m*v + u and give f.
40
Express 2*d - 1 + 1 + (-d + d - d)*(-1 + 2 - 2) - 1 - 2*d + 1 + (d + 0*d + d)*(-1 + 5 - 1) + d + 2*d - 6*d as m + n*d and give n.
4
Express d**2 - d + 0*d**3 + 3*d**3 - d**3 - 3 - d**3 in the form t + p*d + o*d**2 + j*d**3 and give p.
-1
Rearrange (1 + 2 + 0)*(2 - 2 - s**3) + (-2 + 6 - 2)*(6 - 14*s**3 - 6) to the form x + b*s**3 + v*s + w*s**2 and give b.
-31
Rearrange (-h + 62*h + 36*h)*(0*h**3 + 6*h**3 - 4*h**3) - 2*h**4 - 4*h**4 + 5*h**4 to a*h**2 + l*h**4 + o*h**3 + r*h + j and give l.
193
Rearrange (3 + 3 - 5 + (-3 - 3 + 2)*(0 + 3 + 0))*(0*a - a - 2*a) to the form d*a + z and give d.
33
Rearrange 0*x - 3*x + 12*x + (-x + 4*x - 2*x)*(-1 - 1 + 4) to o + f*x and give f.
11
Express -3*j**2 - 11*j**2 + 4*j**2 - 5*j**2 as c*j + b + v*j**2 and give v.
-15
Express -w**4 + 12*w**4 + 4*w**4 + (2*w + 5*w - 3*w)*(2*w**2 + w**3 - 2*w**2) as d*w**3 + y*w**4 + r + a*w + x*w**2 and give y.
19
Express -x**4 - 43*x**2 + 2 + x**3 - 3 + 45*x**2 as c*x + v*x**2 + o*x**4 + l + d*x**3 and give d.
1
Rearrange -4*a**2 + 7*a + 3*a**2 - 4*a + a**3 + 2*a**3 to the form p*a**2 + q*a**3 + z + u*a and give p.
-1
Rearrange -2*b**3 - 19*b**2 + b**2 + 3*b**2 - 19*b**2 to the form x + m*b**2 + f*b + z*b**3 and give m.
-34
Express (2*l + 3 - 3 - 5*l + 2*l + 5*l - 2*l + l + 0*l + (1 - 2 + 3)*(l - 4*l + l) - 6*l - 25 + 25)*(-2 - 3*l + 2) in the form t*l**2 + f*l + k and give t.
21
Rearrange c - 14 - 4*c**4 + 19 - c**3 + 4*c**2 - 6 to the form l*c + s*c**2 + k + d*c**3 + f*c**4 and give s.
4
Rearrange -4*y**2 - 35*y**2 + 14*y**2 - 23*y**2 to u*y + v*y**2 + p and give v.
-48
Express 11*t + 1 - 1 as y + h*t and give h.
11
Rearrange 11*j**4 - j**4 + 5 - 8*j**4 - j**2 - 3*j**4 to q*j + b*j**4 + x*j**3 + g + w*j**2 and give b.
-1
Rearrange -2*v**4 + v**4 + v**4 - 14*v**3 + 2*v**2 - 2*v - v**4 to p*v**4 + g*v**3 + n*v**2 + y + h*v and give g.
-14
Rearrange 5*l - 2*l + 5*l + 4*l to x + y*l and give y.
12
Rearrange 18*g - 10 + 25*g + 10 to y*g + i and give y.
43
Rearrange -4 + 2*s + 3*s**2 - 2*s**2 - 2 - 3 to the form c*s**2 + w*s + p and give c.
1
Rearrange c**3 + 81 - 81 + c**2 + 2*c**4 to th
|
{
"pile_set_name": "DM Mathematics"
}
|
6975912
In base 12, what is 4 - 10129910?
-10129908
In base 15, what is 1 - 214079a?
-2140799
In base 7, what is 1352433435 - -5?
1352433443
In base 15, what is -c + -e059e?
-e05ab
In base 16, what is 1 - -22065?
22066
In base 2, what is 10111100011 + -100111100111001?
-100100101010110
In base 11, what is -6a61327 + 3?
-6a61324
In base 13, what is -a4 - -b716?
b642
In base 12, what is 639 - -1b7ab?
20228
In base 16, what is -1eb2a + -3b?
-1eb65
In base 2, what is -11110111000110 + 110100101100?
-11000010011010
In base 13, what is 87aa - -53a?
9017
In base 11, what is 1997 - 507a9?
-49912
In base 10, what is -180620 - 371?
-180991
In base 8, what is 1724461 - 1016?
1723443
In base 5, what is 4434142 - 20431?
4413211
In base 16, what is -4d6 - 76ea?
-7bc0
In base 2, what is 1101111 + 1110110000011010?
1110110010001001
In base 5, what is 103142424104 + 3?
103142424112
In base 3, what is 1112020020101 + 0?
1112020020101
In base 10, what is 2528839 + -97?
2528742
In base 5, what is -2304104333 + -3?
-2304104341
In base 7, what is -12026 - 25653?
-41012
In base 7, what is -44555 + -10103?
-54661
In base 13, what is a1b42 + -84?
a1a8b
In base 4, what is -113 - 12110222031?
-12110222210
In base 12, what is -805 - -6518b?
64586
In base 3, what is -21110222021022 - 0?
-21110222021022
In base 9, what is 368850567 + -2?
368850565
In base 2, what is -110010110011110110000001000 + -1000?
-110010110011110110000010000
In base 10, what is -5587610 - -20?
-5587590
In base 3, what is 2 + 20002220002122100?
20002220002122102
In base 6, what is -124310315 - -14?
-124310301
In base 6, what is -2 - 3253312225?
-3253312231
In base 6, what is 54221213 - 11?
54221202
In base 13, what is 82 - -3391a?
3399c
In base 6, what is 545 + 30101251?
30102240
In base 12, what is -24a716 - -76?
-24a660
In base 7, what is 16242355 + -3?
16242352
In base 15, what is -3488 - -2bae?
-7c9
In base 9, what is 1743270 + 48?
1743328
In base 5, what is -4440320133 - -24?
-4440320104
In base 5, what is -10301113 - -403?
-10300210
In base 16, what is -148cf3f + 3?
-148cf3c
In base 8, what is -15563 + 41137?
23354
In base 11, what is -138306 + -65?
-138370
In base 4, what is -13 + -10031122030110?
-10031122030123
In base 7, what is -5 + -43563231?
-43563236
In base 7, what is -44121 + -150?
-44301
In base 10, what is -1574990 - -2?
-1574988
In base 11, what is 145 - 41290?
-41146
In base 14, what is -109b3 - -7?
-109aa
In base 9, what is -4 + 50022131?
50022126
In base 13, what is 1513154 + 10?
1513164
In base 5, what is 133320 + 13244?
202114
In base 15, what is -3 - 10485b?
-10485e
In base 7, what is -1123516 + 2041?
-1121445
In base 9, what is 5 - 11652654?
-11652648
In base 16, what is 6268a - -3?
6268d
In base 14, what is 82 - -c9b58a?
c9b62c
In base 11, what is -8a695674 + -5?
-8a695679
In base 13, what is 3337c5 - -3a?
333832
In base 8, what is -66 - 4461505?
-4461573
In base 13, what is -1 - 1a78cab?
-1a78cac
In base 10, what is 3618395 + -4?
3618391
In base 10, what is -538807 + -8?
-538815
In base 7, what is 2635 - 153545?
-150610
In base 4, what is 10320110 + 101313022?
112233132
In base 13, what is -151 - -3878?
3727
In base 12, what is 2133b3 - 31?
213382
In base 16, what is 52 + 2f598?
2f5ea
In base 14, what is -2c2 + -128d7?
-12bb9
In base 16, what is ca0 - -102b5?
10f55
In base 3, what is 2020020212212110 - 101?
2020020212212002
In base 6, what is 102450 - 4345?
54101
In base 16, what is -44 + f61ad?
f6169
In base 2, what is -1011 + 1110100101111011000010?
1110100101111010110111
In base 15, what is a - -7db54c?
7db557
In base 14, what is -867754 - -1?
-867753
In base 4, what is 13232 - -12120012?
12133310
In base 14, what is 3407b + -4cc?
3398d
In base 3, what is 122 - -102020112002?
102020112201
In base 12, what is 1a3 - 1211?
-102a
In base 12, what is 16ab321 - -9?
16ab32a
In base 3, what is -1111221121212112 + 1200?
-1111221121210212
In base 15, what is 1a61bcb0 - -4?
1a61bcb4
In base 8, what is 257522 - -477?
260221
In base 15, what is -4 + -1db2d5c8?
-1db2d5cc
In base 4, what is -101 - 112203221203?
-112203221310
In base 7, what is -20 - 1001465?
-1001515
In base 16, what is 2 + 4b10f8?
4b10fa
In base 8, what is 10 + -16543?
-16533
In base 6, what is 4241445010 - 4?
4241445002
In base 16, what is -145 + -259?
-39e
In base 4, what is 21123100102 + 11302?
21123112010
In base 10, what is -14 + 217467?
217453
In base 4, what is 13011330 + -31332?
12313332
In base 11, what is -132 + -3a514?
-3a646
In base 10, what is 1513 - -575?
2088
In base 15, what is -c + 2339b7?
2339aa
In base 9, what is -76618 - 10830?
-87548
In base 16, what is -6e328 - 1?
-6e329
In base 16, what is -153 - 7e76c?
-7e8bf
In base 8, what is -762 - 1776512?
-1777474
In base 8, what is -1263100 + 4?
-1263074
In base 11, what is 787 + 2173?
294a
In base 6, what is 11 + 111123552?
111124003
In base 3, what is 1021 - -10211001222222?
10211002001020
In base 7, what is 12051123 + -3?
12051120
In base 8, what is -4 - 37763224?
-37763230
In base 15, what is -9d2228 - -b?
-9d221c
In base 2, what is 11011 + -10010110011111101101000?
-10010110011111101001101
In base 3, what is 20 - 1221222201110120?
-1221222201110100
In base 3, what is 1020211010100200 - 0?
1020211010100200
In base 7, what is 1 - 13354666?
-13354665
In base 6, what is -550500341 + 110?
-550500231
In base 12, what is 666 + -112a?
-684
In base 15, what is 12 + -3d7e?
-3d6c
In base 4, what is 1 - 10120321210010?
-10120321210003
In base 9, what is -23 + -46015564?
-46015587
In base 15, what is -10e57 - -2cd8?
-d16e
In base 16, what is 78e + 1e72?
2600
In base 6, what is 4351 - -22450401?
22455152
In base 3, what is -1 - -11120012121111?
11120012121110
In base 2, what is -1010100101001 - 1001110110?
-1011110011111
In base 13, what is -57c3 + -242?
-5a35
In base 3, what is -11 + 10001201111011?
10001201111000
In base 8, what is 235612 - -11172?
247004
In base 14, what is 16 + -2bb6c6?
-2bb6b0
In base 4, what is -1221332201 + -1232?
-1222000033
In base 4, what is 10 - -1100112220?
1100112230
In base 10, what is -70200 - -393?
-69807
In base 7, what is 360321 + -640?
356351
In base 7, what is 5 - -3512520206?
3512520214
In base 6, what is -13250 - -21041?
3351
In base 15, what is 83369ca + -5?
83369c5
In base 13, what is 7957773 - 0?
7957773
In base 10, what is -82476081 + -2?
-82476083
In base 13, what is -486b - -a71?
-3aca
In base 7, what is 1 + 1134146151?
1134146152
In base 8, what is -5 - -330601572?
330601565
In base 13, what is 1caa - bca1?
-9cc4
In base 2, what is 110000100110100010001110 - 1?
110000100110100010001101
In base 8, what is 3765015 - 271?
3764524
In base 15, what is 191 - -433b4?
43555
In base 10, what is -2742 - 1672?
-4414
In base 4, what is 3 + 1020313313?
1020313322
In base 5, what is 1014422224232 - 0?
1014422224232
In base 12, what is -724b354 + 0?
-724b354
In base 8, what is 362670 + -51?
362617
In base 13, what is -a1157 + -19a?
-a1324
In base 16, what is 22f533ce + -1?
22f533cd
In base 12, what is 124 - 4518?
-43b4
In base 6, what is -513 + 31424401?
31423444
In base 12, what is -32915 + 1909?
-31008
In base 10, what is 141282 - 3?
141279
In base 16, what is -88b4 + 4c?
-8868
In base 9, what is 15832612 - -16?
15832628
In base 6, what is 21 + -555202043?
-555202022
In base 16, what is 6a50 + -2ee?
6762
In base 14, what is -2c + -598a?
-59b8
In base 8, what is 362033655 + -6?
362033647
In base 13, what is 1813 - 7a76?
-6263
In base 7, what is 515026 + 2320?
520346
In base 13, what is -1 + -9b14b59?
-9b14b5a
In base 3, what is -12112001 + 2101211?
-10010020
In base 4, what is -10123020 - 111222?
-10300302
In base 13, what is -7752c - -b07?
-76725
In base 9, what is -1 - 38251?
-38252
In base 10, what is 4 - -191878?
191882
In base 7, what is 412621521 - 4?
412621514
In base 7, what is -1034226562 - -5?
-1034226554
In base 7, what is 1 + 31104633?
31104634
In base 2, what is -101011001010000001111 - 111101?
-101011001010001001100
In base 14, what is a8823 + -c?
a8815
In base 6, what is 222 + -24201125?
-24200503
In base 3, what is -12122022 - 21201102?
-111100201
In base 13, what is 105625a + a?
1056267
In base 6, what is -2141455 + 15423?
-2122032
In base 6, what is -3 + -51515013155?
-51515013202
In base 3, what is 101010022
|
{
"pile_set_name": "DM Mathematics"
}
|
= b**2 - 1650*b + 651075. Calculate i(653).
34
Let h(i) = -43*i**3 + 3*i**2 - 6*i - 2. Give h(3).
-1154
Let p(h) = -41*h**3 + 736*h**2 + 37*h - 15. What is p(18)?
3
Let v(g) = 635*g**2 + 49*g. Calculate v(1).
684
Let x(t) = 47*t + 3967. Determine x(-74).
489
Let i(b) = 3981*b - 8261. Give i(2).
-299
Let w(l) = l**3 - 55*l**2 + 184*l + 1053. Give w(51).
33
Let f(l) = l**3 + 90*l**2 + 1850*l + 1236. Give f(-59).
-3
Let y(r) = -16*r**2 - 630*r - 4278. What is y(-16)?
1706
Let b(z) = 6630*z + 86362. Determine b(-13).
172
Let m(g) = 256*g**3 + 7*g**2 - 71*g + 73. Determine m(1).
265
Let u(c) = c**3 + 792*c**2 + 152725*c + 2264. Calculate u(-460).
-36
Let h(x) = -216*x - 1450. Determine h(-9).
494
Let u(n) = 172*n**2 + 7790*n - 13814. Determine u(-47).
4
Let q(x) = -1903*x - 62717. What is q(-33)?
82
Let q(b) = 2203*b - 79285. Determine q(36).
23
Let f(r) = r**2 + 29726*r - 237939. Calculate f(8).
-67
Let h(f) = -6897*f - 6393543. Determine h(-927).
-24
Let d(p) = p**3 - 9*p**2 + 52505*p - 948037. Calculate d(18).
-31
Let s(w) = 876*w - 14019. Calculate s(16).
-3
Let m(v) = -2*v**3 + 38*v**2 + 146*v - 2985. Calculate m(16).
887
Let s(d) = -1901*d + 112217. Give s(59).
58
Let p(o) = o**2 + 685*o - 6244. Determine p(9).
2
Let m(c) = c**2 - 4*c - 83508. Calculate m(291).
9
Let a(k) = 31*k**2 + 1876*k - 4986. What is a(-63)?
-135
Let m(l) = 281764*l - 845470. What is m(3)?
-178
Let k(b) = 62*b - 675. Calculate k(6).
-303
Let f(i) = 510*i + 4749. Determine f(-6).
1689
Let p(j) = -3*j**3 + 113*j**2 - 639*j + 12551. Determine p(35).
-14
Let h(c) = 75*c**3 + 65*c**2 - 18*c - 13. Determine h(-1).
-5
Let v(q) = 6*q**2 - 149*q + 844. Calculate v(5).
249
Let m(s) = -2*s**3 - 4*s**2 + 58*s - 16. Calculate m(7).
-492
Let x(y) = -45*y**3 + 3*y**2 - 2*y + 19. Calculate x(3).
-1175
Let l(k) = -2458*k - 10070. What is l(-4)?
-238
Let r(w) = 430*w**2 - 5209*w + 637. Give r(12).
49
Let h(j) = -1282*j - 8937. Calculate h(-7).
37
Let v(p) = -26834*p + 268336. Calculate v(10).
-4
Let j(i) = i**3 + 6*i**2 - 134*i - 796. Give j(-6).
8
Let x(q) = 1212*q**2 - 41198*q - 346. What is x(34)?
-6
Let p(l) = -761*l - 86657. Calculate p(-113).
-664
Let a(i) = i**2 + 918*i + 7091. Determine a(-8).
-189
Let j(w) = -w**3 + 8*w**2 - 2*w + 120. What is j(0)?
120
Let r(c) = -c**3 - 30*c**2 - 237*c - 288. What is r(-11)?
20
Let g(i) = 52469*i + 891973. Calculate g(-17).
0
Let a(p) = 1851*p**2 - 127718*p - 112. Determine a(69).
-43
Let b(y) = 284*y - 9065. Determine b(31).
-261
Let f(h) = -8*h**2 - 182*h + 447. Calculate f(-25).
-3
Let f(g) = -g**3 + 228*g**2 + 60998*g - 3875. Determine f(386).
-15
Let c(g) = -41957*g + 545466. Calculate c(13).
25
Let o(v) = -v**2 - 19*v - 59. What is o(-12)?
25
Let r(j) = 6*j**2 - 10184*j - 81867. Determine r(-8).
-11
Let d(i) = -3*i**3 - 1212*i**2 - 1215*i - 57. Determine d(-403).
2361
Let o(z) = 2*z**2 - 45*z - 452. What is o(-6)?
-110
Let f(q) = -q**3 - 32*q**2 + 184*q + 4827. Give f(-31).
-1838
Let d(r) = r**3 + 36*r**2 - 1119*r - 38333. Determine d(-40).
27
Let g(t) = t**3 - 214*t**2 - 83522*t + 17873703. Determine g(214).
-5
Let c(z) = -543533*z - 1087070. Calculate c(-2).
-4
Let q(b) = 9*b**3 + 16*b**2 - 75*b - 36. Give q(5).
1114
Let i(d) = -d**3 - 13*d**2 + 484*d - 643. Determine i(-30).
137
Let p(i) = 558*i**2 + 69*i + 69. What is p(-1)?
558
Let u(j) = -j**3 - 60*j**2 - 735*j - 168. Give u(-43).
4
Let r(z) = -z**3 - 118*z**2 + 51*z + 6026. Give r(-118).
8
Let h(k) = -10199*k + 40813. Determine h(4).
17
Let g(c) = -c**3 - 10*c**2 - 1266*c - 7645. What is g(-6)?
-193
Let z(d) = d**3 - 196*d**2 - 2487*d - 1713. Calculate z(208).
159
Let g(c) = -143*c + 5375. Give g(38).
-59
Let n(q) = -6*q**2 + 91094*q + 546785. What is n(-6)?
5
Let m(l) = 46*l**2 - 900*l + 4436. What is m(10)?
36
Let y(n) = 2*n**3 + 10*n**2 - 888*n - 8085. Give y(-9).
-741
Let b(n) = -799540*n - 3198171. What is b(-4)?
-11
Let m(o) = o**3 + 2264*o**2 - 15740*o + 356538. Calculate m(-2271).
-9
Let m(v) = -5*v**2 + 1486*v - 77285. Determine m(230).
-5
Let q(b) = 2189*b - 26315. Give q(12).
-47
Let f(y) = -y**3 - 28*y**2 + 2014*y + 55063. Calculate f(-27).
-44
Let y(b) = 202*b**2 + 1981*b - 7905. Calculate y(4).
3251
Let u(n) = 2840*n - 17043. Determine u(6).
-3
Let h(r) = r**3 + 93*r**2 + 381*r - 244. Determine h(-5).
51
Let v(q) = -268*q - 40361. Calculate v(-151).
107
Let z(j) = -5*j**2 + 2043*j + 8032. Give z(-4).
-220
Let w(h) = 27*h + 4342. Determine w(-190).
-788
Let u(v) = 29*v**2 + 4249*v + 108624. Calculate u(-33).
-12
Let o(l) = 144*l**2 + 56036*l + 7780. Give o(-389).
0
Let l(c) = -8*c**3 + 16*c**2 - 26*c - 97. Calculate l(-5).
1433
Let b(g) = 7*g**3 + 53*g**2 + 284*g + 1337. Calculate b(-6).
29
Let m(d) = d**2 + 8314*d + 24937. Determine m(-3).
4
Let r(u) = -3*u**2 + 1927*u - 11574. Calculate r(6).
-120
Let n(z) = -54*z - 499. What is n(-30)?
1121
Let n(q) = 14*q**2 + 193*q + 125. Determine n(-18).
1187
Let l(a) = -7792*a + 841497. Calculate l(108).
-39
Let a(f) = -13*f**3 + 12*f**2 - 29*f + 12. Give a(4).
-744
Let g(y) = 3*y**2 + 24*y - 490. Determine g(10).
50
Let p(f) = 1516*f - 210730. Calculate p(139).
-6
Let a(q) = 2614*q - 5213. Determine a(2).
15
Let r(x) = -x**2 + 34*x + 1825. What is r(-30)?
-95
Let p(d) = d**3 - 107*d**2 - 816*d + 2052. What is p(114)?
0
Let w(n) = -26*n**3 + 2704*n**2 - 11*n + 1142. What is w(104)?
-2
Let x(q) = -2*q**3 - 134*q**2 + 9*q + 541. Calculate x(-67).
-62
Let i(n) = -1242*n + 619719. Determine i(499).
-39
Let m(h) = -44*h + 6237. Determine m(141).
33
Let f(o) = 4809*o - 57404. What is f(12)?
304
Let b(g) = 2*g**2 - 151*g - 73374. Determine b(233).
21
Let l(s) = s**3 - 209*s**2 - 671*s + 7744. What is l(212)?
324
Let x(c) = -c**3 + 18*c**2 + 137*c - 201. Give x(-7).
65
Let y(f) = -144*f + 46215. Determine y(320).
135
Let g(r) = 19*r**3 + 611*r**2 + 3062*r + 31. What is g(-5)?
-2379
Let f(m) = -m**2 + 539*m - 8386. What is f(16)?
-18
Let h(v) = 5*v**2 - 85*v + 261. Determine h(17).
261
Let n(r) = 25*r**2 + 324*r + 1604. Determine n(-5).
609
Let g(p) = p**2 - 324*p + 26320. What is g(162)?
76
Let h(m) = -6886*m + 702392. What is h(102)?
20
Let t(o) = -3975*o + 7839. Determine t(2).
-111
Let f(i) = -5299*i**2 - 137856*i - 2137. Calculate f(-26).
-5
Let h(n) = -517*n + 5499. Calculate h(12).
-705
Let g(w) = 54124*w + 920118. Give g(-17).
10
Let s(o) = 127*o**2 + 6035*o + 8879. Give s(-46).
1
Let d(c) = 5*c**3 - 11*c**2 - 228*c + 781. Give d(5).
-9
Let n(c) = c**2 - 69240*c - 623254. Calculate n(-9).
-13
Let t(l) = l**3 - 97*l**2 - 2486*l + 192389. Give t(103).
-15
Let x(u) = -431*u**2 + 9492*u - 163. Calculate x(22).
57
Let t(q) = -3*q**2 - 128*q + 54790. Give t(-158).
122
Let f(x) = 44*x**3 - 45*x**2 - 8*x - 4. What is f(4)?
2060
Let q(s) = -3325*s - 246053. Give q(-74).
-3
Let c(s) = -2*s**3 - 19*s**2 - 227*s - 4139. Give c(-13).
-5
Let y(h) = h**3 + 39*h**2 + 141*h + 87. Determine y(-35).
52
Let m(g) = g**2 - 252*g + 6391. What is m(29)?
-76
Let b(t) = 110*t**3 - 183*t**2 + 181*t + 2. What is b(1)?
110
Let z(m) = 2510*m + 868466. Give z(-346).
6
Let v(n) = -236*n + 2151. What is v(4)?
1207
Let k(p) = p**3 - 45*p**2 - 432*p - 221. Calculate k(53).
-645
Let k(b) = 563*b**3 - 60*b**2 + b + 1. Give k(2).
4267
Let i(f) = f**3 + 102*f**2 + 2313*f - 9. Determine i(-34).
-43
Let l(f) = 213*f + 2299. Determine l(-12).
-257
Let n(r) = -98*r**3 + 249*r**2 - 6*r - 3. Calculate n(-1).
350
Let m(c) = c**2 - 210*c + 5210. Calculate m(43).
-1971
Let t(b) = 39*b**2 - 928*b - 34. What is t(24)?
158
Let l(c) = 602*c - 5740. Calculate l(10).
280
Let t(q) = q**3 - 82*q**2 + 556*q + 153. Give t(8).
-135
Let o(d) = 2*d**3 + 37*d**2 - 696*d + 93. What is o(-30)?
273
Let z(q) = -q**3 - 150*q**2 + 317*q + 1975. What is z(-152)?
-1
Let l(r) = 3*r**3 - 62*r**2 + 191*r - 23. Give l(17).
45
Let o(j) = 13*j**2 + 794*j + 701. Give o(-61).
640
Let j(q) = -60*q**3 - 30*q**2 + 46*q + 50. Determine j(2).
-458
Let a(j) = -4*j**3 + 5*j**2 + 2026*j + 4044. Calculate a(-2).
44
Let j(b) = -b**2 + 3905*b - 39050. Determine j(10).
-100
Let d(g) = 28*g**2 + 166*g + 577. What is d(-5)?
447
Let i(r) = -2*r**2 + 1587*r - 204. Determine i(0).
-204
Let k(x) = -316*x - 10026. What is k(-31)?
-230
Let j(n) = -n**2 + 12*n + 66. Determine j(-18).
-474
Let s(g) = 15*g**3 + 530*g**2
|
{
"pile_set_name": "DM Mathematics"
}
|
is the r'th term of 9, 18, 19, 12?
-4*r**2 + 21*r - 8
What is the p'th term of 1, -21, -63, -131, -231, -369, -551, -783?
-p**3 - 4*p**2 - 3*p + 9
What is the v'th term of -108, -183, -270, -375, -504?
-v**3 - 68*v - 39
What is the b'th term of 1281, 2563, 3847, 5133, 6421, 7711, 9003?
b**2 + 1279*b + 1
What is the h'th term of 553, 554, 555, 556?
h + 552
What is the p'th term of -36, -79, -164, -303, -508, -791, -1164?
-2*p**3 - 9*p**2 - 2*p - 23
What is the n'th term of -325, -276, -225, -172, -117, -60, -1?
n**2 + 46*n - 372
What is the n'th term of -173, -397, -771, -1295, -1969, -2793, -3767?
-75*n**2 + n - 99
What is the a'th term of -2975, -5954, -8933, -11912, -14891, -17870?
-2979*a + 4
What is the g'th term of 598, 1197, 1796?
599*g - 1
What is the z'th term of 1239, 4950, 11135, 19794, 30927, 44534?
1237*z**2 + 2
What is the f'th term of 2194, 2195, 2196, 2197?
f + 2193
What is the k'th term of 661, 655, 639, 607, 553, 471?
-k**3 + k**2 - 2*k + 663
What is the d'th term of 202, 206, 212, 220, 230, 242?
d**2 + d + 200
What is the z'th term of 6, -18, -42, -66?
-24*z + 30
What is the p'th term of -24, -20, -12, 0, 16, 36?
2*p**2 - 2*p - 24
What is the h'th term of 68, 119, 154, 173?
-8*h**2 + 75*h + 1
What is the k'th term of -19, -17, -15, -13?
2*k - 21
What is the w'th term of 76, 152, 228, 304, 380, 456?
76*w
What is the w'th term of 417, 422, 427?
5*w + 412
What is the o'th term of 12, -34, -110, -216, -352?
-15*o**2 - o + 28
What is the t'th term of 61, 80, 99, 118?
19*t + 42
What is the l'th term of -9, -30, -61, -108, -177, -274, -405, -576?
-l**3 + l**2 - 17*l + 8
What is the c'th term of -184, -185, -186, -187, -188?
-c - 183
What is the z'th term of -439, -877, -1315, -1753?
-438*z - 1
What is the v'th term of -41, -52, -71, -104, -157, -236, -347, -496?
-v**3 + 2*v**2 - 10*v - 32
What is the t'th term of 26, 62, 116, 194, 302?
t**3 + 3*t**2 + 20*t + 2
What is the f'th term of 156, 301, 446?
145*f + 11
What is the v'th term of 2525, 5051, 7577?
2526*v - 1
What is the l'th term of -16, -61, -108, -157, -208, -261, -316?
-l**2 - 42*l + 27
What is the s'th term of -160, -655, -1488, -2665, -4192, -6075?
-s**3 - 163*s**2 + s + 3
What is the h'th term of 1372, 1370, 1368, 1366, 1364?
-2*h + 1374
What is the y'th term of 2996, 2995, 2994?
-y + 2997
What is the w'th term of -428, -448, -482, -530, -592, -668?
-7*w**2 + w - 422
What is the a'th term of 8993, 17985, 26977, 35969?
8992*a + 1
What is the y'th term of -32, -40, -48, -56, -64?
-8*y - 24
What is the g'th term of 89, 90, 91, 92, 93?
g + 88
What is the x'th term of 217, 203, 171, 115, 29, -93?
-x**3 - 3*x**2 + 2*x + 219
What is the y'th term of -1572, -3144, -4716?
-1572*y
What is the n'th term of -979, -995, -1037, -1117, -1247, -1439, -1705?
-2*n**3 - n**2 + n - 977
What is the j'th term of -88, -56, -2, 74, 172, 292, 434?
11*j**2 - j - 98
What is the w'th term of 261, 1022, 2297, 4092, 6413, 9266?
w**3 + 251*w**2 + w + 8
What is the x'th term of 67, 93, 153, 259, 423, 657, 973?
2*x**3 + 5*x**2 - 3*x + 63
What is the i'th term of 928, 916, 900, 880, 856, 828?
-2*i**2 - 6*i + 936
What is the i'th term of 57, 115, 173, 231, 289, 347?
58*i - 1
What is the u'th term of 583, 1218, 1853, 2488, 3123, 3758?
635*u - 52
What is the l'th term of 82, 334, 754, 1342?
84*l**2 - 2
What is the j'th term of 61, 87, 115, 145, 177, 211?
j**2 + 23*j + 37
What is the x'th term of 29, 34, 39?
5*x + 24
What is the t'th term of -70, -270, -604, -1072, -1674, -2410, -3280?
-67*t**2 + t - 4
What is the u'th term of -92, -103, -128, -173, -244, -347, -488, -673?
-u**3 - u**2 - u - 89
What is the i'th term of 27, 111, 251, 447?
28*i**2 - 1
What is the s'th term of -25, -15, 9, 53, 123?
s**3 + s**2 - 27
What is the h'th term of 18, 35, 76, 153, 278, 463?
2*h**3 + 3*h + 13
What is the x'th term of 111, 506, 1163, 2082, 3263, 4706, 6411?
131*x**2 + 2*x - 22
What is the q'th term of -298, -299, -300, -301, -302?
-q - 297
What is the r'th term of -122, -129, -142, -161, -186, -217?
-3*r**2 + 2*r - 121
What is the u'th term of -546, -539, -530, -519, -506, -491, -474?
u**2 + 4*u - 551
What is the g'th term of 531, 530, 529, 528, 527?
-g + 532
What is the x'th term of 19, -1, -55, -161, -337, -601, -971, -1465?
-3*x**3 + x**2 - 2*x + 23
What is the f'th term of -283, -276, -267, -256, -243, -228?
f**2 + 4*f - 288
What is the o'th term of -5, -22, -57, -116, -205, -330, -497, -712?
-o**3 - 3*o**2 - o
What is the u'th term of 35, 64, 93, 122?
29*u + 6
What is the o'th term of -124, -238, -350, -460, -568?
o**2 - 117*o - 8
What is the q'th term of -5000, -4992, -4982, -4970, -4956?
q**2 + 5*q - 5006
What is the z'th term of -18, -17, -14, -9?
z**2 - 2*z - 17
What is the c'th term of -19, -52, -85, -118?
-33*c + 14
What is the w'th term of 8453, 8450, 8437, 8408, 8357?
-w**3 + w**2 + w + 8452
What is the j'th term of 146, 138, 128, 116, 102?
-j**2 - 5*j + 152
What is the s'th term of 3916, 3918, 3922, 3928, 3936, 3946, 3958?
s**2 - s + 3916
What is the u'th term of -6436, -6440, -6446, -6454, -6464, -6476?
-u**2 - u - 6434
What is the c'th term of -417, -415, -413?
2*c - 419
What is the m'th term of 53, 51, 49, 47?
-2*m + 55
What is the y'th term of 109, 207, 305, 403, 501?
98*y + 11
What is the w'th term of -8249, -16502, -24757, -33014, -41273?
-w**2 - 8250*w + 2
What is the y'th term of 296, 1173, 2634, 4679, 7308, 10521?
292*y**2 + y + 3
What is the i'th term of 23, 43, 63, 83, 103, 123?
20*i + 3
What is the w'th term of -18, -16, 12, 78, 194, 372?
2*w**3 + w**2 - 15*w - 6
What is the k'th term of 277, 280, 293, 322, 373?
k**3 - k**2 - k + 278
What is the f'th term of 797, 793, 787, 779, 769?
-f**2 - f + 799
What is the d'th term of 124, 137, 174, 247, 368, 549, 802?
2*d**3 - d + 123
What is the o'th term of 404, 406, 408, 410?
2*o + 402
What is the m'th term of -55, -122, -175, -208, -215, -190, -127, -20?
m**3 + m**2 - 77*m + 20
What is the l'th term of 2617, 2616, 2613, 2608, 2601?
-l**2 + 2*l + 2616
What is the d'th term of 269, 548, 841, 1154, 1493, 1864?
d**3 + d**2 + 269*d - 2
What is the m'th term of -1666, -3325, -4982, -6637, -8290, -9941, -11590?
m**2 - 1662*m - 5
What is the d'th term of -133, -145, -179, -247, -361, -533, -775, -1099?
-2*d**3 + d**2 - d - 131
What is the w'th term of 2, 15, 58, 149, 306, 547?
3*w**3 - 3*w**2 + w + 1
What is the j'th term of 71, 62, 51, 38, 23, 6?
-j**2 - 6*j + 78
What is the h'th term of 1, -6, -15, -26, -39, -54, -71?
-h**2 - 4*h + 6
What is the q'th term of 8054, 16110, 24166, 32222, 40278, 48334?
8056*q - 2
What is the w'th term of -27, -26, -35, -60, -107, -182, -291, -440?
-w**3 + w**2 + 5*w - 32
What is the k'th term of 59, 58, 57, 56, 55?
-k + 60
What is the o'th term of 150, 143, 148, 177, 242, 355, 528, 773?
2*o**3 - 6*o**2 - 3*o + 157
What is the k'th term of -213, -427, -639, -849?
k**2 - 217*k + 3
What is the r'th term of -457, -459, -461?
-2*r - 455
What is the s'th term of -42170, -42168, -42164, -42158, -42150, -42140?
s**2 - s - 42170
What is the l'th term of 93, 369, 829, 1473?
92*l**2 + 1
What is the y'th term of -174, -175, -178, -183?
-y**2 + 2*y - 175
What is the z'th term of 902, 1801, 2700, 3599, 4498, 5397?
899*z + 3
What is the v'th term of -2246, -4492, -6724, -8936, -11122?
v**3 + v**2 - 2256*v + 8
What is the p'th term of 157, 327, 509, 703, 909?
6*p**2 + 152*p - 1
What is the s'th term of 313, 328, 357, 406, 481, 588, 733?
s**3 + s**2 + 5*s + 306
What is the l'th term of -8, -29, -64, -113, -176?
-7*l**2 - 1
What is the j'th term of 1, -10, -35, -74, -127, -194?
-7*j**2 + 10*j - 2
What is the j'th term of 74, -9, -94, -181?
-j**2 - 80*j + 155
What is the q'th term of -9, 3, 15, 21, 15, -9, -57?
-q**3 + 6*q**2 + q - 15
What is the v'th term of -37, -86, -135, -184, -233?
-49*v + 12
What is the b'th term of -13, -50, -109, -190, -293, -418, -565?
-11*b**2 - 4*b + 2
What is the f'th term of -1, -11, -39, -91, -173?
-f**3 - 3*f**2 + 6*f - 3
What is the i'th term of -2477, -2475, -2473, -2471, -2469?
2*i - 2479
What is the y'th term of -17, -29, -41, -53, -65?
-12*y - 5
What is the i'th term of -251, -529, -807, -1085?
-278*i + 27
What is the f'th term of -76, -138, -190, -232, -264, -286, -298?
5*f**2 - 77*f - 4
What is the c'th
|
{
"pile_set_name": "DM Mathematics"
}
|
8143
What is the s'th term of 185029, 185094, 185145, 185176, 185181, 185154, 185089, 184980?
-s**3 - s**2 + 75*s + 184956
What is the p'th term of -3644773, -3644769, -3644771, -3644779?
-3*p**2 + 13*p - 3644783
What is the r'th term of -10812, -14106, -17402, -20700, -24000, -27302, -30606?
-r**2 - 3291*r - 7520
What is the m'th term of 144068, 144030, 144004, 143996, 144012, 144058, 144140, 144264?
m**3 - 45*m + 144112
What is the r'th term of 8319, 16337, 24369, 32415, 40475, 48549?
7*r**2 + 7997*r + 315
What is the d'th term of 29410899, 117643576, 264698031, 470574258, 735272251, 1058792004, 1441133511?
-d**3 + 29410895*d**2 - d + 6
What is the m'th term of 5148, 10262, 15290, 20190, 24920, 29438, 33702, 37670?
-7*m**3 - m**2 + 5166*m - 10
What is the d'th term of 9200, 32, -15248, -36640?
-3056*d**2 + 12256
What is the u'th term of 4767, 9599, 14441, 19299, 24179, 29087?
u**3 - u**2 + 4828*u - 61
What is the s'th term of -190418, -380836, -571254, -761672?
-190418*s
What is the i'th term of 183930, 183928, 183924, 183918?
-i**2 + i + 183930
What is the k'th term of -3283, -5951, -13097, -26959, -49775, -83783?
-373*k**3 - k**2 - 54*k - 2855
What is the h'th term of 2576988, 2576984, 2576980, 2576976, 2576972, 2576968?
-4*h + 2576992
What is the y'th term of 10749841, 10749842, 10749843, 10749844, 10749845?
y + 10749840
What is the a'th term of 279335, 559343, 839351, 1119359?
280008*a - 673
What is the i'th term of 401695917, 401695914, 401695911?
-3*i + 401695920
What is the d'th term of -48651468, -48651477, -48651494, -48651519, -48651552?
-4*d**2 + 3*d - 48651467
What is the b'th term of -485, -399, -263, -83, 135, 385, 661, 957?
-b**3 + 31*b**2 - 515
What is the s'th term of -807710, -805082, -802452, -799820, -797186, -794550, -791912?
s**2 + 2625*s - 810336
What is the s'th term of -1219802, -2439678, -3659554, -4879430, -6099306?
-1219876*s + 74
What is the y'th term of -14433, -57445, -129141, -229527, -358609?
-y**3 - 14336*y**2 + 3*y - 99
What is the w'th term of -11351439, -22702880, -34054321, -45405762, -56757203?
-11351441*w + 2
What is the d'th term of -15189188, -30378372, -45567556?
-15189184*d - 4
What is the u'th term of -125512133, -125512129, -125512123, -125512115, -125512105?
u**2 + u - 125512135
What is the n'th term of 6603184, 13206370, 19809556, 26412742?
6603186*n - 2
What is the m'th term of 1150993, 4603897, 10358711, 18415441, 28774093, 41434673, 56397187?
m**3 + 1150949*m**2 + 50*m - 7
What is the f'th term of -34638, -34245, -33852?
393*f - 35031
What is the h'th term of 41707, 83227, 124747, 166267, 207787?
41520*h + 187
What is the z'th term of -11248941, -22497882, -33746823, -44995764, -56244705, -67493646?
-11248941*z
What is the o'th term of 65066, 64970, 64824, 64634, 64406, 64146, 63860, 63554?
o**3 - 31*o**2 - 10*o + 65106
What is the a'th term of -30716, -61337, -91950, -122555, -153152, -183741?
4*a**2 - 30633*a - 87
What is the x'th term of 1628657, 3257318, 4885979, 6514640, 8143301, 9771962?
1628661*x - 4
What is the l'th term of 843762, 843633, 843420, 843123, 842742, 842277?
-42*l**2 - 3*l + 843807
What is the v'th term of -644, -1053, -1208, -983, -252?
21*v**3 + v**2 - 559*v - 107
What is the n'th term of -1942, -10474, -25602, -47326?
-3298*n**2 + 1362*n - 6
What is the h'th term of -833055, -833633, -834211, -834789, -835367?
-578*h - 832477
What is the o'th term of -8706, -17405, -26080, -34719, -43310, -51841, -60300?
2*o**3 - 8713*o + 5
What is the q'th term of 90203, 180491, 270777, 361061, 451343, 541623?
-q**2 + 90291*q - 87
What is the c'th term of 4930511, 4930476, 4930441, 4930406, 4930371, 4930336?
-35*c + 4930546
What is the f'th term of 47745, 47209, 46315, 45063?
-179*f**2 + f + 47923
What is the w'th term of 2916, 2505, 1840, 939, -180?
3*w**3 - 145*w**2 + 3*w + 3055
What is the g'th term of 83763, 168184, 253261, 338994, 425383?
328*g**2 + 83437*g - 2
What is the j'th term of -68556547, -137113094, -205669641, -274226188?
-68556547*j
What is the z'th term of -6189426, -6189416, -6189392, -6189348, -6189278, -6189176, -6189036, -6188852?
z**3 + z**2 - 6189428
What is the u'th term of -28053, -27851, -27649, -27447, -27245, -27043?
202*u - 28255
What is the m'th term of -100393, -100309, -100225?
84*m - 100477
What is the w'th term of 58647, 117465, 176441, 235575?
79*w**2 + 58581*w - 13
What is the s'th term of -14023399, -14023401, -14023405, -14023411, -14023419, -14023429?
-s**2 + s - 14023399
What is the k'th term of -119415396, -119415397, -119415398, -119415399?
-k - 119415395
What is the w'th term of -77064200, -154128399, -231192598, -308256797, -385320996?
-77064199*w - 1
What is the n'th term of -101420, -405679, -912776, -1622711, -2535484?
-101419*n**2 - 2*n + 1
What is the d'th term of 52304, 52230, 52134, 52010, 51852?
-d**3 - 5*d**2 - 52*d + 52362
What is the q'th term of -22971212, -45942426, -68913638, -91884848?
q**2 - 22971217*q + 4
What is the z'th term of -8216, -65810, -222206, -526826, -1029092, -1778426?
-8237*z**3 + 21*z**2 + 2*z - 2
What is the r'th term of -11989, -17200, -22409, -27616?
r**2 - 5214*r - 6776
What is the o'th term of -69498, -69469, -69442, -69417, -69394, -69373?
-o**2 + 32*o - 69529
What is the o'th term of 3500122, 3500223, 3500324?
101*o + 3500021
What is the p'th term of 3545, 7983, 12429, 16883?
4*p**2 + 4426*p - 885
What is the c'th term of -357412, -357433, -357454, -357469, -357472, -357457, -357418, -357349?
c**3 - 6*c**2 - 10*c - 357397
What is the v'th term of 20733, 155987, 523115, 1238055, 2416745, 4175123?
19323*v**3 - v**2 - 4*v + 1415
What is the a'th term of -271920, -271618, -271314, -271008?
a**2 + 299*a - 272220
What is the x'th term of 33205, 67265, 101325?
34060*x - 855
What is the u'th term of 11, 115, 415, 983, 1891?
12*u**3 + 26*u**2 - 58*u + 31
What is the y'th term of 409, 2381, 5881, 10909, 17465, 25549, 35161?
764*y**2 - 320*y - 35
What is the v'th term of 1119077, 1118852, 1118625, 1118396, 1118165, 1117932?
-v**2 - 222*v + 1119300
What is the t'th term of -160288, -320723, -481158, -641593?
-160435*t + 147
What is the t'th term of 351656419, 703312838, 1054969257, 1406625676?
351656419*t
What is the t'th term of 6898, 6284, 5670, 5056, 4442, 3828?
-614*t + 7512
What is the a'th term of 136590417, 136590416, 136590415, 136590414?
-a + 136590418
What is the k'th term of -2163, -4296, -6423, -8544, -10659, -12768, -14871?
3*k**2 - 2142*k - 24
What is the j'th term of -189307166, -378614328, -567921490, -757228652, -946535814?
-189307162*j - 4
What is the m'th term of -688759, -688674, -688533, -688336, -688083, -687774?
28*m**2 + m - 688788
What is the b'th term of 807430, 807395, 807332, 807235, 807098?
-b**3 - 8*b**2 - 4*b + 807443
What is the d'th term of 2537954, 10151994, 22842060, 40608152, 63450270, 91368414, 124362584?
2538013*d**2 + d - 60
What is the n'th term of -487449, -487515, -487581?
-66*n - 487383
What is the s'th term of 11635, 6734, -6577, -32504, -75253?
-701*s**3 + s**2 + 3*s + 12332
What is the z'th term of -27051979, -27051981, -27051985, -27051991, -27051999?
-z**2 + z - 27051979
What is the d'th term of 108279920, 108279918, 108279916, 108279914, 108279912?
-2*d + 108279922
What is the k'th term of -3554, -28306, -95454, -226184, -441682?
-3531*k**3 - 12*k**2 + k - 12
What is the q'th term of 15149346, 30298691, 45448036, 60597381?
15149345*q + 1
What is the j'th term of 46393233, 46393234, 46393235, 46393236?
j + 46393232
What is the y'th term of 29492, 117911, 265292, 471647, 736988, 1061327?
2*y**3 + 29469*y**2 - 2*y + 23
What is the l'th term of -695, -2563, -5679, -10055, -15703, -22635, -30863?
-2*l**3 - 612*l**2 - 18*l - 63
What is the p'th term of -412300, -412314, -412332, -412354?
-2*p**2 - 8*p - 412290
What is the i'th term of -2009, -2235, -2627, -3185, -3909, -4799?
-83*i**2 + 23*i - 1949
What is the u'th term of -6965139, -6965142, -6965145, -6965148, -6965151, -6965154?
-3*u - 6965136
What is the x'th term of 1251, 4910, 10971, 19434, 30299?
1201*x**2 + 56*x - 6
What is the c'th term of 61327107, 122654220, 183981337, 245308458, 306635583?
2*c**2 + 61327107*c - 2
What is the r'th term of 621, -4544, -13147, -25182, -40643, -59524, -81819?
r**3 - 1725*r**2
|
{
"pile_set_name": "DM Mathematics"
}
|
-4*y - 629. What are the prime factors of ((-9)/6)/(24/y)?
2, 11
Let b = 95 + -93. Suppose -117 = -x + b*z + 53, -530 = -3*x - 4*z. What are the prime factors of x?
2, 3, 29
Let x(w) = w**3 - 5*w**2 + 2*w - 7. Let g be x(5). Let h(f) = 13*f**2 + 3*f - 2. Let c be h(2). List the prime factors of 2 + 3 + g + c.
2
Let s = 381 - -909. What are the prime factors of s?
2, 3, 5, 43
What are the prime factors of (-15045)/(-8) - (15 + 1476/(-96))?
3, 11, 19
Let j(d) = -6*d**3 - 5*d**2 + 69*d - 27. List the prime factors of j(-10).
4783
Let u = 118 + -116. Let z = 0 - 0. Suppose w + 19 = u*k, z = 5*k + 3*w + 2*w - 70. What are the prime factors of k?
11
Let n = 187 - -277. What are the prime factors of n?
2, 29
Suppose j = 6*j + 5*q - 130, j - 14 = -4*q. Suppose 659 = 12*v - 13. Suppose -2*a + j = -v. List the prime factors of a.
43
Suppose 426 = 7*l - l. Suppose -l = -7*d + 405. List the prime factors of d.
2, 17
Let d be 5 - 3*1/1. Suppose d*m - 30 = -4*y, 5*y + 3*m - 25 = 3*y. Suppose 4*w - t + 7 = 5*w, y*t + 13 = 3*w. List the prime factors of w.
2, 3
Suppose 2*j - 19 = 5. Let p(t) = t**2 - 2*t + 4. Let g be p(-6). Let k = j + g. What are the prime factors of k?
2
List the prime factors of 333204/180 + 10 - 6/45.
1861
Let d = 7 + -9. What are the prime factors of (-3)/d + 6 + (-765)/(-6)?
3, 5
Let a = 10 + -10. Suppose -106 = -a*c + 2*c - w, -4*w = 4*c + 212. Let j = -35 - c. What are the prime factors of j?
2, 3
Let j = -981 + 1937. List the prime factors of j/10 + (-2)/(-5).
2, 3
Let y(g) be the second derivative of -8*g**3/3 + 5*g**2/2 + 13*g. List the prime factors of y(-1).
3, 7
Suppose -n = -5*z - 5 + 31, -5*n - 10 = -z. Suppose z*a = -2*l + l + 33, -2*l + 50 = 2*a. What are the prime factors of l?
23
Suppose -54340 = -3*f - 17*f. What are the prime factors of f?
11, 13, 19
What are the prime factors of (-637)/(-5) - (-6)/(-15)?
127
Let f = 153 - 149. What are the prime factors of f?
2
Suppose -399*l + 409*l - 11450 = 0. List the prime factors of l.
5, 229
Let f be (3/(-1))/(-2 - (-70)/32). Let a = -12 - f. What are the prime factors of a?
2
Let a = 11 + -11. Suppose -10*h + 5*h + 15 = a. Suppose 0 = -5*d + 5, -105 = -4*q - h*d + 2*d. What are the prime factors of q?
2, 13
Suppose -11*t + 9*t + 10 = 0. Suppose -t*m = -11 + 1. Suppose m*w - i = 11 + 14, 0 = 5*w + 3*i - 35. List the prime factors of w.
2, 5
Let v(w) be the third derivative of w**6/6 - w**4/6 + w**3/2 + 31*w**2. What are the prime factors of v(2)?
5, 31
Suppose -700 = -3*y - 2*i + 1016, 3*y - 3*i = 1701. What are the prime factors of y?
2, 3, 5, 19
Let f = 60 - 22. Suppose f*d - 146 = 36*d. What are the prime factors of d?
73
Let y = -169 + 184. Suppose 4*s + 73 - 29 = 0. Let p = y + s. List the prime factors of p.
2
Let z = -751 + 1169. What are the prime factors of z?
2, 11, 19
Let k = 1313 - -378. What are the prime factors of k?
19, 89
Suppose l = 4*l + n - 4425, l - 1488 = 4*n. What are the prime factors of l?
2, 3, 41
Let z = 53 - 53. What are the prime factors of 0 - (-4)/(5 - (3 + z))?
2
Suppose -26*u + 14*u = -6312. List the prime factors of u.
2, 263
Suppose u - 3*p = 2079, -34*u + 2*p = -37*u + 6270. List the prime factors of u.
2, 3, 29
Suppose -3*r + 3*s = -27, -2*r + 2*s + s + 18 = 0. Suppose -48 = 6*n - r*n. List the prime factors of n.
2
Suppose -2*j - 3*j = -15. Suppose y - 3*y - 5*x = -45, j*y - 35 = -x. What are the prime factors of y?
2, 5
Suppose -y - 2*y - 3*j = -24, 0 = -5*y + 4*j + 22. Suppose -y + 24 = s. List the prime factors of s.
2, 3
Suppose -28*c + 19268 = -6128. List the prime factors of c.
907
Let h be -10*(3 + (-14)/4). Suppose -h*b + 4*z = -18, -3*z + 5*z = 4*b - 12. Suppose -2*m + m = 3*l - 11, 11 = 3*m - b*l. List the prime factors of m.
5
Suppose 0 = -15*k + 80973 - 18063. List the prime factors of k.
2, 3, 233
Let c(y) = y**2 - 2*y + 3. Let j be c(3). Suppose -j*b + r = -2*b - 162, -3*r + 88 = 2*b. Let h = b + 9. List the prime factors of h.
2, 5
Let u(d) = 2*d**2 - 2*d + 2. Suppose -6 = q + 2*s, 3*q + s - 3*s = -26. What are the prime factors of u(q)?
2, 73
Suppose 11*o - 34 = 21. Suppose -2*k + 3*v - 810 = -o*k, -4*v + 814 = 3*k. What are the prime factors of k?
2, 7, 19
Suppose -3*p - 5*c + 506 = 0, 3*p + 0*p = 4*c + 551. List the prime factors of p.
3, 59
Let a = -314 + 960. What are the prime factors of a?
2, 17, 19
Let a = 30 + 88. What are the prime factors of a?
2, 59
Suppose 4*p = 2*p + f + 14, -2*p = -4*f - 8. Suppose -p + 4 = -2*j. Suppose g - 24 = j*t - 3, 2*t + 34 = 2*g. What are the prime factors of g?
13
Let j = 58 + 228. What are the prime factors of j?
2, 11, 13
Let f = 1902 - 1134. What are the prime factors of f?
2, 3
Let i = -285 + 981. List the prime factors of i.
2, 3, 29
Let b = -4 + -14. List the prime factors of (-6)/4*(-21)/b*-68.
7, 17
What are the prime factors of 580/2 - (-1 + 1)?
2, 5, 29
Let q(h) = 2*h**2 - 3*h - 11. Let f be q(-5). Suppose 26*i - 20*i - f = 0. What are the prime factors of i?
3
Suppose -5*c + 1 = 3*y, 3*y + 0*y - 5 = -c. Suppose -3*x = y*x - l - 175, -2*l - 134 = -4*x. List the prime factors of x.
2, 3
Let m be 18/30 - 2/(-5). Let a = 10 - m. Suppose 0 = a*q - 12*q + 159. List the prime factors of q.
53
Suppose 3*g = -111 + 186. What are the prime factors of (1 + -41)*g/(-50)?
2, 5
Suppose -4*x + 5*x + 18 = 0. Let y be (-546)/x - (-2)/(-6). Suppose u - 2*u + y = 0. What are the prime factors of u?
2, 3, 5
Let p(m) = -112*m**3 + m. Let h be p(-1). Suppose 26 - h = -5*u. Let a = u + 10. List the prime factors of a.
3
Let j(p) = 50*p - 582. List the prime factors of j(43).
2, 7
Let c(m) = -m**2 + 2*m + 11. Let y be c(5). Let u be (y/6)/((-3)/9). List the prime factors of -3 - (-43)/u*2.
2, 5
Let i(t) = 8*t + t - 47 + 41. Let z be (-6)/4*(-8)/3. List the prime factors of i(z).
2, 3, 5
Let v = 15 + -6. Let m(h) = -9*h**2 + 3*h + 0*h - 7 + 2*h + h**3 - 2*h. What are the prime factors of m(v)?
2, 5
Let l(g) = g + 31. Let o be l(-29). Suppose -3*k + 5*y = 3*y - 453, -2*k - o*y = -292. What are the prime factors of k?
149
What are the prime factors of ((-964)/3 + 3)/((-1)/3)?
5, 191
Let n = 909 - 692. List the prime factors of n.
7, 31
Let t(i) = -11*i - 10. Let a be t(18). What are the prime factors of 3 - 5 - (6 + a)?
2, 5
What are the prime factors of 24769/10 + 1/10?
2477
Suppose 0 = 5*w - 3130 + 395. What are the prime factors of w?
547
Let s(u) = u**3 + 2*u**2 + 4*u - 10. Let y be (-20)/(-6) - 18/(-27). Let z be s(y). Suppose -f = 2*f - z. What are the prime factors of f?
2, 17
Let h(m) = m**2 + 3*m - 8. Let z(o) = o**3 + 5*o**2 - 5*o + 13. Let b be z(-6). Suppose -12 = 4*c, c = -2*u - b - 10. What are the prime factors of h(u)?
2, 5
Suppose 4*p - 117 = -5*c, 0*c - 3*c + 69 = 2*p. List the prime factors of c.
3, 7
Let r(k) = -k**2 + 7*k - 5. Let a be ((-5)/4)/((-1)/4). Let o be r(a). Suppose -o*z = 5*b - 70, 5*b - 2*z - z = 70. List the prime factors of b.
2, 7
Let y be (-2)/(-4)*(323 - 25). Suppose -10*z = -y - 161. List the prime factors of z.
31
Let g(h) = 3*h**2 - 3 + 6*h**2 + 3*h**3 - 10*h + 11 - 2*h**3. List the prime factors of g(-10).
2
Let k(n) = -n**3 + 14*n**2 + n - 14. Let i be (-55)/(-4) + 3/12. Let l be k(i). Suppose 0 = -u + 5*x + 52, 2*u + l*x - 82 = -x. What are the prime factors of u?
2, 3, 7
Let d(q) = -10*q - 8. Let b = 11 - 16. What are the prime factors of d(b)?
2, 3, 7
Suppose 0 = -3*z + 5*k - 85, -3*z = -0*z + 4*k + 40. Let c be ((-68)/z - 1)*5. What are the prime factors of (-265)/(-15) + c/9?
19
What are the prime factors of 306/357 + (-30662)/(-14)?
7, 313
Let v(u) = -u**3 + 13*u**2 + 14*u + 57. List the prime factors of v(14).
3, 19
Let b(i) = 19*i**2 + 2*i - 1. What are the prime factors of b(-3)?
2, 41
Let h(k) = k**3 + 4*k**2 - 3*k + 5. Let p be h(-5). Let i = -18 + p. Let y = i - -47. What are the prime factors of y?
2, 3
Let v = -7 + 3. Let c(r) = 8*r**2 - 6*r + 15. Let l(h) = 14*h**2 - 11*h + 28. Let a(s) = -5*c(s) + 3*l(s). What are the prime factors of a(v)?
53
Suppose -40 = -5*g - j - 3*j, 3*g + 5*j = 11. Suppose -2*y = -0*y - 2*a + g, -3*y + 2*a - 14 = 0. What are the prime factors of (y + 4)*(-49)/(-2)?
7
Suppose 3*w + 3 = 0, 2*i + 5*w - 264 = 123. List the prime factors of i.
2, 7
Let b(o) be the third derivative of o**6/120 - o**5/60 - o**4/6 + o**3/6
|
{
"pile_set_name": "DM Mathematics"
}
|
= 182 + -184.09. Let w = t - -0.09. Which is the smallest value? (a) 0.4 (b) -4 (c) w
b
Suppose -2*f + h + 26 = 2*f, -2*f = h - 16. Let j(g) = 4*g - 30. Let m be j(f). Which is the second biggest value? (a) -0.6 (b) -2/17 (c) m
a
Let t = -154 + 219. Let q be (-8)/52 - 3/t. Which is the third smallest value? (a) -0.4 (b) -2 (c) q
c
Let u = 1.92 - -0.08. Let s = 0.73 + -0.83. What is the smallest value in s, 0.3, u?
s
Let d = -51.7 - -55.09. Let k = 0.49 - d. Let v = k + 2.5. Which is the third biggest value? (a) v (b) 0.2 (c) -1/32
a
Let m = -408 - -3671/9. Which is the second biggest value? (a) -12/5 (b) 3 (c) m
c
Let f = -1522 + 1526. What is the third smallest value in 2, 1/4, f, 5?
f
Let w = -13.8 - -10.8. Which is the third smallest value? (a) w (b) -19 (c) 3
c
Let k = 0.8 + -0.7. Let x = -1.52 - -2.92. Let i be 2/3 - (-22)/(-6). Which is the second biggest value? (a) x (b) i (c) k
c
Let m = 0.01 + 1.99. Let s be 3/(7/(210/(-45))). Which is the fourth biggest value? (a) 0 (b) s (c) m (d) -1
b
Let h = 794.5 + -794. Let d = 1.2 - 0.2. Let l = 1.4 - d. Which is the third biggest value? (a) l (b) 1 (c) h
a
Let j = 6/17 - 41/68. Let f = -1641 - -1641.3. What is the fourth smallest value in -0.3, 1, f, j?
1
Suppose 3*r - 13 = 4*l, 4*r + r = -2*l + 13. Suppose r*o + 6 = 0, o - 9 + 1 = 5*x. Which is the third biggest value? (a) -1 (b) x (c) -4
c
Let j = 4 + -4.35. Let q = j + 0.5. Let k = 0.05 + q. What is the smallest value in 0, -5, k?
-5
Let i = 4.96 + 0.04. Let d be (3/(-33))/((-2)/(-12)). Let x be -6 - (75/(-12) - 0). Which is the smallest value? (a) i (b) x (c) d
c
Let g = 396.4 - 396. What is the biggest value in g, 4, 2?
4
Let s = 0.3 + 0.4. Let z = 0.7 + s. Let p = z - 1.5. What is the third biggest value in -5, p, 0.5?
-5
Let x = 5 + -5.4. Suppose 5*f = 14 + 11. Suppose -1 = -2*w - w + 5*i, 5*w - f*i - 5 = 0. Which is the third biggest value? (a) -2 (b) x (c) w
a
Let y = 955 - 955.5. Suppose 0 = 3*n - 6*g + 3*g + 3, -3*n = -4*g + 6. Let v = 0.2 - 0.4. What is the second smallest value in v, y, n?
v
Let w = 0.039 - 0.539. Let q be ((-10)/200)/(2/12). Which is the smallest value? (a) q (b) w (c) -0.2
b
Let w = 906/143 + -80/13. Suppose 2*p + 8 = -4*h, -2*p + 3*h = -h. What is the third biggest value in w, p, 0?
p
Let p = 0.04 - 0.34. Let d be 58/26 - 3/13. Which is the biggest value? (a) d (b) p (c) -0.5
a
Let n = -51 - -50. Which is the smallest value? (a) 2/5 (b) -5 (c) n (d) 3/2
b
Let n = -7.06 - -0.06. Let r = -20097 + 301457/15. What is the second biggest value in n, -3/8, r?
-3/8
Let d be (5/40)/(30/(-40)). What is the third smallest value in 4, d, 653?
653
Let r = -4005 + 4003. Let x(i) = -i + 1. Let p be x(0). What is the second biggest value in r, 0.5, p, 0.1?
0.5
Let h = 43 - 40. Let j be h/((108/20)/3). Which is the second smallest value? (a) -0.07 (b) -1/5 (c) j
a
Let m be (3/18)/(54/216). Which is the smallest value? (a) 2/99 (b) -0.07 (c) m
b
Let w(c) = -2*c - 9. Let x be w(-5). What is the fourth biggest value in 0, -8, -5/2, x?
-8
Let x(h) = -h + 5. Let s(g) = g - 4. Let k(m) = -4*s(m) - 5*x(m). Let w be k(9). What is the third biggest value in -3, w, -4, 3?
-3
Let d(m) = -m**2 - 21*m + 27. Let o be d(-20). Let k = o + -46. Let s = -2 + 1.99. Which is the second smallest value? (a) k (b) s (c) 5
a
Let j = 17.01 + -17. Suppose 10*b - 3 = 11*b. What is the smallest value in b, j, -3/2?
b
Let n = -0.14 + 0.43. Let r = 0.01 + n. Suppose 46 = -31*k + 84 + 117. Which is the biggest value? (a) r (b) k (c) -1/5
b
Suppose -2*n - 29 = -5*v - 6*n, v - 2*n - 3 = 0. Suppose -23 = h + v*t, 3*t + 8 + 7 = 0. What is the third biggest value in -0.1, h, -3?
-3
Let n(d) be the second derivative of 4*d**3/3 - d**2/2 - 4*d. Let m be n(-9). Let y = -287/4 - m. Which is the third smallest value? (a) 0.5 (b) -5 (c) y
c
Let l be (4 + -9)*-1*1. Let j = -0.14 + 0.24. Which is the third smallest value? (a) j (b) -2/5 (c) 0 (d) l
a
Let u be 10/(-1 + 3 + 0). Let w = 1065/2138 + 2/1069. Which is the third smallest value? (a) w (b) -3/8 (c) u
c
Let g be (-6)/(-3) - 0/2. Let c be (3 - 2)*-1*g/10. What is the second smallest value in c, -3/11, 2/7, -2?
-3/11
Let z = -16.6 - -16.7. What is the biggest value in z, 0.3, 2?
2
Let o = 1.9 - -10.1. Let x = 13 - o. Let f = -6.5 - -6. What is the smallest value in x, f, 0.5?
f
Let d = 5 - 5.04. Let i = -1.04 - d. Let m be (-164)/(-24) + -1 - (2 + 3). Which is the biggest value? (a) m (b) i (c) 4
c
Let d = -0.14 + 0.04. Suppose 8 + 23 = 5*f - l, f - 8 = 2*l. What is the smallest value in f, -2, d?
-2
Suppose 137*d = 88*d + 686. Which is the biggest value? (a) d (b) -3 (c) 0
a
Let o = 65.7 + 8.3. Let w = -74.2 + o. What is the third smallest value in -3, w, 7, 2?
2
Let p = 60.8 + -70.8. Let g = -0.35 - 0.05. Which is the second smallest value? (a) 5 (b) g (c) p
b
Let n = 8.17 - 0.37. Let g = n - 7. Let y = g - 1.2. What is the third biggest value in y, -2/23, -0.2?
y
Suppose -p = 5*q + 47, -1 - 9 = 2*q. Let n = p - -18. Let r be (0 - n) + (-78)/21. What is the second smallest value in 1/4, -1, r?
1/4
Let r = 2/109 - -192/1417. Let w = 60.8 + -61. Which is the third smallest value? (a) w (b) -20 (c) r
c
Let q = 10.49 - 10.4. What is the biggest value in q, -7, 2/3?
2/3
Let v = -154 - -151. Suppose 30 = -3*f + 18. Which is the third smallest value? (a) -0.4 (b) f (c) -4/7 (d) v
c
Let v = -64.6 + 0.6. Let s = 62.3 + v. Which is the second biggest value? (a) -3/7 (b) -0.2 (c) s
a
Let i be (-22)/(-5) + (-14)/35. Let a be ((-1)/(-3))/(i/20). Suppose -3*l = 3*y - 0 + 6, -4*l - 10 = 2*y. What is the third smallest value in -1/3, y, a?
a
Let i = 121 - 124. Let m(r) = r**3 - 5*r**2 + 4*r + 1. Let d be m(3). What is the second smallest value in -2, d, i?
i
Let y = 48 + -140. Which is the biggest value? (a) 1/5 (b) y (c) 1
c
Let n = -281 + 1970/7. Let q = 2841 + -2841.3. Which is the second biggest value? (a) q (b) n (c) 0.08
c
Suppose -3*m - 16 = -5*b + 7, 0 = -4*m - b. Let j be (((-8)/10)/(-2))/(22/(-10)). What is the second biggest value in j, 2, m?
j
Let y(m) = -m**3 + 7*m**2 - 4*m - 8. Let c be y(6). Let b = -0.0037 + 0.0037. What is the biggest value in b, c, -5?
c
Let g = -586 - -583. Which is the biggest value? (a) -5 (b) 0 (c) -4 (d) g
b
Let h(i) = -i**3 + 33*i**2 + 3*i - 95. Let p be h(33). Which is the second smallest value? (a) -44 (b) 5 (c) p
c
Let g be (-28)/(-30) - (-6)/15. Let w = 269/3 - 89. Let y(z) = z + 1. Let a be y(2). What is the second smallest value in a, w, g?
g
Let v be ((-3)/(-2) - 1)/((-47)/(-4042)). Let w = v + -47. Let o be 2/(-4) + (-6)/4. Which is the biggest value? (a) 5 (b) o (c) w
a
Let l = -6 + 10. Let b = -5.6 - -1.6. What is the biggest value in l, -2, b?
l
Let n = 1 - 0. Let o be n - (18/(-20) - -2). Let k = 3763/3 - 1254. What is the second biggest value in o, -0.5, k?
o
Let j = -2.929 + -0.071. What is the fourth biggest value in -0.2, j, 5, 1?
j
Suppose -3*l + 4*l = -14*l. Which is the second biggest value? (a) l (b) 7/5 (c) -5
a
Let y = 1.7 + 10.3. Let o = -22.16 - -5.16. Let n = o + y. What is the third biggest value in 0.3, n, -1?
n
Let b be (6/99)/((-2)/(-3)). Let v = 1091 - 4363/4. What is the fourth biggest value in 0.1, 1, v, b?
b
Let n = 6 + 1. Let g = -6.6 + n. What is the biggest value in g, 0.1, 9/5?
9/5
Let d = -30.9 + 31.4. Which is the smallest value? (a) d (b) -0.5 (c) 25
b
Let m(f) = f**3 + 8*f**2 + 8*f + 5. Let i be m(-7). Let z = 584 - 584. What is the fourth biggest value in 1.2, 0.1, i, z?
i
Let p = 24 + -17.8. Let z = p + -4.2. Which is the smallest value? (a) z (b) 0.4 (c) 0
c
Let m = -161.7 + 153. Let z = m - -9. Let w = 0.2 - 0.4. What is the second smallest value in z, -5, w?
w
Suppose z + 528 = -3*z. Let j be (-8)/2*(-6)/z. Let i = 11 + -8. What is the biggest value in j, i, -0.4?
i
Let x = 19 - 7. Let d = x - 12.1. Which is the second biggest value? (a) 0.4 (b) -0.09 (c) d
b
Suppose -d + 5*o - 2 = -13, 2*d - 1 = 3*o. Let i = 5 - 0. Which is the third smallest value? (a) d (b) -0.03 (c) i
c
Let b be -2 + 3 - 638/126. Let c = b - -30/7. Let m = 0.3 - 5.3. What is the biggest value in -2/7, m, c?
c
Let d = 3 + -3. Let v = -41.06 - 0.94. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
n 639 is divided by 130?
119
What is the remainder when 9985 is divided by 22?
19
Calculate the remainder when 51478 is divided by 28.
14
What is the remainder when 5450 is divided by 1361?
6
What is the remainder when 4903614 is divided by 5?
4
What is the remainder when 10925 is divided by 683?
680
What is the remainder when 14303 is divided by 457?
136
Calculate the remainder when 9216 is divided by 229.
56
Calculate the remainder when 46638 is divided by 464.
238
What is the remainder when 365010 is divided by 26?
22
Calculate the remainder when 2460 is divided by 112.
108
What is the remainder when 1806 is divided by 94?
20
What is the remainder when 4541 is divided by 243?
167
Calculate the remainder when 63440 is divided by 311.
307
What is the remainder when 3263 is divided by 1552?
159
What is the remainder when 1691 is divided by 452?
335
Calculate the remainder when 155987 is divided by 124.
119
What is the remainder when 2370 is divided by 396?
390
Calculate the remainder when 382736 is divided by 342.
38
What is the remainder when 180541 is divided by 118?
1
Calculate the remainder when 13897 is divided by 31.
9
What is the remainder when 29062 is divided by 1932?
82
What is the remainder when 3164427 is divided by 30?
27
What is the remainder when 574558 is divided by 72?
70
What is the remainder when 16263 is divided by 152?
151
What is the remainder when 4795 is divided by 1271?
982
What is the remainder when 58547 is divided by 29268?
11
What is the remainder when 44460 is divided by 160?
140
What is the remainder when 286851 is divided by 806?
721
Calculate the remainder when 1761118 is divided by 480.
478
What is the remainder when 49842 is divided by 364?
338
What is the remainder when 14149 is divided by 2?
1
Calculate the remainder when 4951 is divided by 18.
1
Calculate the remainder when 8788 is divided by 1461.
22
What is the remainder when 7942 is divided by 1985?
2
Calculate the remainder when 91292 is divided by 2467.
13
What is the remainder when 62110 is divided by 92?
10
Calculate the remainder when 330 is divided by 196.
134
Calculate the remainder when 72815 is divided by 103.
97
What is the remainder when 35838 is divided by 320?
318
What is the remainder when 11648 is divided by 24?
8
What is the remainder when 8114 is divided by 145?
139
Calculate the remainder when 27972 is divided by 16.
4
Calculate the remainder when 19409 is divided by 36.
5
What is the remainder when 134720 is divided by 286?
14
Calculate the remainder when 3085 is divided by 80.
45
What is the remainder when 3081821 is divided by 1544?
1541
Calculate the remainder when 11056 is divided by 552.
16
Calculate the remainder when 4201 is divided by 608.
553
Calculate the remainder when 56582 is divided by 2175.
32
What is the remainder when 15692 is divided by 413?
411
What is the remainder when 40656 is divided by 726?
0
What is the remainder when 41325 is divided by 83?
74
Calculate the remainder when 1922 is divided by 498.
428
What is the remainder when 842720 is divided by 331?
325
Calculate the remainder when 88261 is divided by 323.
82
Calculate the remainder when 61386 is divided by 100.
86
Calculate the remainder when 1316 is divided by 58.
40
What is the remainder when 1397 is divided by 605?
187
Calculate the remainder when 4980 is divided by 568.
436
What is the remainder when 3237 is divided by 141?
135
Calculate the remainder when 2015915 is divided by 84.
83
Calculate the remainder when 1102 is divided by 14.
10
Calculate the remainder when 3169 is divided by 7.
5
Calculate the remainder when 6822 is divided by 54.
18
What is the remainder when 5107 is divided by 718?
81
Calculate the remainder when 802143 is divided by 112.
111
Calculate the remainder when 1346 is divided by 381.
203
Calculate the remainder when 237 is divided by 75.
12
What is the remainder when 3066 is divided by 74?
32
Calculate the remainder when 1323 is divided by 320.
43
Calculate the remainder when 156537 is divided by 128.
121
Calculate the remainder when 2209666 is divided by 11.
8
What is the remainder when 156398 is divided by 23?
21
What is the remainder when 81390 is divided by 684?
678
Calculate the remainder when 75465 is divided by 546.
117
What is the remainder when 687 is divided by 611?
76
Calculate the remainder when 1139 is divided by 185.
29
Calculate the remainder when 126 is divided by 56.
14
What is the remainder when 209370 is divided by 80?
10
Calculate the remainder when 1472 is divided by 29.
22
What is the remainder when 2797 is divided by 2569?
228
Calculate the remainder when 510942 is divided by 170313.
3
Calculate the remainder when 960398 is divided by 140.
138
What is the remainder when 950 is divided by 360?
230
Calculate the remainder when 74534 is divided by 847.
845
What is the remainder when 31170 is divided by 1184?
386
Calculate the remainder when 34227 is divided by 203.
123
Calculate the remainder when 201687 is divided by 201685.
2
What is the remainder when 140 is divided by 63?
14
What is the remainder when 17618 is divided by 3519?
23
What is the remainder when 341486 is divided by 136?
126
Calculate the remainder when 42171 is divided by 16.
11
What is the remainder when 202971 is divided by 488?
451
Calculate the remainder when 5702 is divided by 2828.
46
Calculate the remainder when 62619 is divided by 20.
19
What is the remainder when 17896 is divided by 267?
7
Calculate the remainder when 341 is divided by 86.
83
Calculate the remainder when 39499 is divided by 3290.
19
What is the remainder when 251682 is divided by 51?
48
Calculate the remainder when 30269 is divided by 356.
9
Calculate the remainder when 18491 is divided by 138.
137
What is the remainder when 13520 is divided by 160?
80
Calculate the remainder when 126055 is divided by 41953.
196
What is the remainder when 124564 is divided by 8?
4
Calculate the remainder when 319589 is divided by 149.
133
What is the remainder when 28972 is divided by 2414?
4
Calculate the remainder when 49193 is divided by 455.
53
What is the remainder when 16769 is divided by 185?
119
Calculate the remainder when 1557 is divided by 723.
111
Calculate the remainder when 24680 is divided by 68.
64
What is the remainder when 20221 is divided by 9?
7
What is the remainder when 29299 is divided by 127?
89
What is the remainder when 35001 is divided by 25?
1
Calculate the remainder when 699 is divided by 569.
130
Calculate the remainder when 120778 is divided by 607.
592
What is the remainder when 76967 is divided by 38453?
61
What is the remainder when 2933 is divided by 1145?
643
Calculate the remainder when 139507 is divided by 6.
1
What is the remainder when 780 is divided by 30?
0
Calculate the remainder when 4347 is divided by 1607.
1133
What is the remainder when 171265 is divided by 33?
28
What is the remainder when 9756 is divided by 202?
60
Calculate the remainder when 1053 is divided by 441.
171
Calculate the remainder when 875742 is divided by 39.
36
Calculate the remainder when 1395 is divided by 656.
83
Calculate the remainder when 268584 is divided by 72.
24
What is the remainder when 21948 is divided by 257?
103
Calculate the remainder when 115721 is divided by 99.
89
What is the remainder when 98736 is divided by 218?
200
What is the remainder when 5969 is divided by 1858?
395
Calculate the remainder when 161248 is divided by 231.
10
What is the remainder when 160868 is divided by 195?
188
Calculate the remainder when 4190 is divided by 801.
185
Calculate the remainder when 2043 is divided by 676.
15
What is the remainder when 126767 is divided by 14?
11
What is the remainder when 2423 is divided by 35?
8
What is the remainder when 37071 is divided by 1692?
1539
Calculate the remainder when 9394 is divided by 209.
198
What is the remainder when 2226 is divided by 511?
182
What is the remainder when 88161 is divided by 36?
33
Calculate the remainder when 4289 is divided by 27.
23
Calculate the remainder when 10167 is divided by 106.
97
What is the remainder when 1982084 is divided by 487?
481
Calculate the remainder when 1521 is divided by 451.
168
Calculate the remainder when 87130 is divided by 38.
34
Calculate the remainder when 8721 is divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 and give t.
1428
Express ((1 - 5 + 2)*(-3*o + 5*o + 0*o) + 9*o - o + 0*o - 2*o + 1 - 1 + (2*o + 0*o + 0*o)*(3 + 2 - 3) + 6*o - 4*o + 3*o)*(-18 - 11 + 7) as k*o + m and give k.
-242
Express -39 - j**3 - 161*j**2 + 12*j + 20 + 21 - 15*j - 35*j**2 as n*j + v*j**3 + z + m*j**2 and give v.
-1
Express (-3 - 1 + 2)*(-31*z + 17*z + 66*z)*(0 + 7 - 2) in the form o + m*z and give m.
-520
Express (0 + 1 - 3 + (2 - 2 + 5)*(-4 - 3 + 6))*(2 - 1 + 0)*(0 + l + 0) + (-9*l - 8*l + 3*l)*(-2 + 5 - 5) as j*l + a and give j.
21
Rearrange 2 - 1820*n - 37*n - 1318*n - 146*n to the form c + y*n and give y.
-3321
Rearrange 7 - 4 - 3 - 5280*n + 446*n to t*n + w and give t.
-4834
Rearrange -210 - 31*x + 28*x - x + 630 to the form b + m*x and give m.
-4
Rearrange -1 - 303*c - 1382*c + 1 - 1087*c to d*c + k and give d.
-2772
Rearrange r + 5428*r**4 + r**3 - 10*r**2 + 1 + 12*r**2 + 62*r**2 - 5429*r**4 to h*r + k*r**2 + f*r**4 + p*r**3 + x and give h.
1
Rearrange 5*s - 3*s + 0*s - 8*s + 196 + 5*s to i + z*s and give z.
-1
Rearrange (3*q + 0*q + q)*(56 + 75 - 204)*(1 - 2 + 3 + (2 - 1 + 0)*(0 + 0 - 2) + 2 - 4 - 2) to the form k*q + m and give k.
1168
Rearrange -u**2 + 44 - 5*u**2 + 0*u**2 + 20973*u - 20983*u to the form k + c*u + x*u**2 and give k.
44
Express (-24*n + 252*n + 12*n + (-5*n + 0*n - 5*n)*(2 - 2 - 1) - n + 3 - 3 - 4*n + 4*n + n)*(1 - 1 - 1) in the form w*n + c and give w.
-250
Rearrange -i**4 + 102552*i**3 - 2*i**4 + 2*i**4 - 102554*i**3 - 4*i**2 to the form x*i + t*i**3 + v + j*i**4 + n*i**2 and give j.
-1
Express (18*b - 10*b + 4*b)*(124*b + 148*b - 140*b + 159*b - 55*b + 143*b) as t + i*b**2 + p*b and give i.
4548
Express (3*n - 71 + 71)*(-5 + 2 + 1)*(3*n + n - n) as z*n + m + r*n**2 and give r.
-18
Rearrange -16*o**4 - 2 + 7 - 6*o**3 + 3*o**2 + 3*o - 3 + 17*o**4 to q*o + a + b*o**3 + y*o**4 + z*o**2 and give z.
3
Express -132*x + 24491 - 48970 + 24492 as d*x + g and give d.
-132
Rearrange 567*p - 3 - 1008*p + 512*p - 11 to u + t*p and give u.
-14
Rearrange -758*m**2 - 1 + 4047*m**2 - 647*m**2 + 1 to c*m + j + u*m**2 and give u.
2642
Rearrange (421 + 2*y**2 - 128*y + 334 - 739)*(1 + 2*y**2 - 1) to the form x*y**3 + i*y + g + z*y**2 + d*y**4 and give d.
4
Rearrange (44*y - 52*y + 432*y)*(1 + 3 - 2)*(2 - 2 - 2)*(14 - y - 12 - 2*y) to h*y + x*y**2 + z and give x.
5088
Express -2*a**4 + 0*a + 12*a**3 - 34*a**3 + 5*a**2 - 2*a + 32*a**3 in the form h*a + u*a**4 + w + s*a**2 + m*a**3 and give u.
-2
Express -17587*f**3 - 10418*f**3 - 5211*f**3 - 2*f**2 + f**3 + 2*f**2 + (-2*f + 2*f - f)*(2 - 2 - f**2) as s + h*f**2 + c*f + o*f**3 and give o.
-33214
Express 763*t - 315 - 12704*t + 161 + 154 in the form m + y*t and give y.
-11941
Rearrange 867*j + 360*j + 1151*j - 323*j + 336*j to k + w*j and give k.
0
Express (-1 + 6 - 1 + (-3 + 4 - 4)*(1 + 0 + 0))*(-20*p - 14*p + 3*p) as f*p + s and give s.
0
Express -234*p + 17*p + 7315*p**2 - 7317*p**2 - 2*p**3 - 114*p + 21*p in the form o*p + s + q*p**2 + g*p**3 and give o.
-310
Express -169*l**3 + 2*l + 2 + 94*l**3 + 74*l**3 + 166*l**2 in the form m*l + j + h*l**2 + b*l**3 and give j.
2
Rearrange (3*r - 2*r + 0*r)*(-13 + 7*r + 13)*(-1252 - 420*r + 1252) to the form q*r**3 + b*r + s*r**2 + u and give q.
-2940
Rearrange (-p**3 + 0*p**3 - p**3)*(89*p + 115*p - 44*p + (-46 - 38 + 47)*(-p + 0 + 0)) to s*p + y*p**2 + x*p**3 + z + t*p**4 and give t.
-394
Express -8*z**2 + 1107197*z - 138 - 1107197*z as l*z + s*z**2 + u and give s.
-8
Rearrange (-h**2 + 5*h**2 - 3*h**2)*(4748*h - 4 + 5 - 2982*h) to the form p*h**3 + m + d*h + a*h**2 and give p.
1766
Express -67*s + 906*s**2 + 15 - 901*s**2 - 10 - 4 in the form f + v*s**2 + t*s and give f.
1
Express 389 - 131 - 132 - 125 - m**2 - 128*m in the form y*m + g + p*m**2 and give g.
1
Rearrange 45 - 43 - 3261*q + 3947*q to y*q + j and give j.
2
Express 14546*d**2 - 5606*d**2 + 4080*d - 2043*d - 2039*d as n*d + s + g*d**2 and give g.
8940
Express -107*d - d**3 + 47*d + 24*d + 43*d + 8*d**2 - 3*d**2 in the form j*d**3 + g*d**2 + p*d + t and give j.
-1
Express 18852*d**2 - 18853*d**2 + 4*d**3 + 212*d**3 as o + w*d**2 + l*d + n*d**3 and give w.
-1
Rearrange (-5426 - 10100 - 11624 - 5651 - 5401 + 7226)*(5*l**3 + 4*l**3 - 4*l**3) to the form u*l**3 + f + i*l**2 + c*l and give f.
0
Rearrange 70660 - 144181 + 2*a + 72366 to y + s*a and give s.
2
Rearrange (21 + 82 + 46)*(3*z**2 + 0*z + 3*z - z) to q*z + c*z**2 + f and give c.
447
Rearrange (6*s**2 - 9 + 9)*(6*s - 3*s - 4*s + (-42*s - 19*s + 10*s)*(-3 - 22 + 6) + s - s + 2*s) to the form o + c*s + l*s**2 + d*s**3 and give d.
5820
Rearrange -9 - 53*q**2 + 1 + 31 - 13*q**2 to y*q + n + u*q**2 and give u.
-66
Rearrange 0 + 115455*d - 111389*d + 1 to the form r*d + s and give s.
1
Express (-4 + 4 + t)*(-5 + 3 + 4)*(1872 - 206 - 4025) as a + i*t and give i.
-4718
Rearrange 708557*x + 708498*x - 23 - 1417102*x to l*x + j and give j.
-23
Express (649 - 649 - 8*x)*(-2*x**3 + 5*x**3 - x**3) + (-2*x**2 + 2*x**2 - 3*x**4)*(-8 - 9 + 5) in the form w*x + d*x**4 + i*x**2 + y + a*x**3 and give d.
20
Rearrange (-8*m - 1 + 1 + (1 - 2 + 2)*(-m + m - 11*m))*((-3 - 4 + 5)*(3 + 3 - 7) + 5 + 0 - 3) to the form s*m + i and give s.
-76
Rearrange (2*k**3 + 2*k**3 - 2*k**3)*(-7958*k + 4042*k - 29 + 3996*k) - 4*k**4 - 46*k**3 + 46*k**3 to the form s*k + b*k**4 + q*k**3 + c + t*k**2 and give q.
-58
Rearrange -7 + 66*l**2 - 5*l**3 + 4 + 2*l**4 - 63*l**2 + 9*l**4 to the form v*l + r + j*l**3 + b*l**2 + d*l**4 and give r.
-3
Express (-123*a**3 + 424*a**3 - 159*a**3)*(-14*a - 7*a - a) in the form c*a**3 + k*a**2 + m*a**4 + f + u*a and give c.
0
Rearrange (4*n**2 + 3*n**2 + 0*n**2)*(339 - 1509*n**2 - 339) to y*n + g*n**2 + l*n**3 + i*n**4 + z and give z.
0
Rearrange -368 - 131*k + 375 - 9*k**3 - 4*k**3 + 129*k to z*k + u*k**2 + c + t*k**3 and give t.
-13
Express -2811*z - 7860*z + 5446*z as s + f*z and give f.
-5225
Express 2561*j - 43338 + 4124*j + 43338 in the form f + r*j and give r.
6685
Express 5 - 1101*q + 569*q**3 - 285*q**3 + 5 - 286*q**3 - 8 as a*q + h*q**3 + x*q**2 + r and give x.
0
Express 2144307*x + 0 - 2143620*x - 2 in the form i + u*x and give u.
687
Express 2 - 1 + 25*j**3 - 2*j**2 + 17*j**3 + 3*j + 3*j**4 - 2*j - 2*j**3 as n*j + p*j**2 + s*j**4 + q*j**3 + r and give r.
1
Rearrange -108 + 41 + 41 - 8273*g**2 + 25 - g to the form x + i*g**2 + u*g and give u.
-1
Rearrange -5*u**3 + 41747*u - 2 - 41753*u + 4*u**3 - 155*u**2 to z*u + m*u**2 + i*u**3 + f and give m.
-155
Rearrange -12*m**2 - 8*m**2 - m + m**3 + 3 + 42*m**2 - 26*m**2 - 3*m**4 to v*m**4 + w + l*m**3 + i*m**2 + n*m and give n.
-1
Rearrange ((-z**2 + z**2 - 2*z**3)*(-2 + 5 - 1) + z**2 - z**2 + z**3)*(-79 + 79 + 38*z) to b + m*z**2 + h*z**3 + o*z**4 + d*z and give o.
-114
Express (2*l + l - 5*l - 7*l)*(9*l - 21*l - 12*l + 16) in the form g*l**2 + q*l + w and give g.
216
Express (-10*m + 2*m + 2 + 7*m)*(25*m - 3*m + 11*m) + 4*m**2 + 2*m - 2*m in the form g*m**2 + q*m + r and give q.
66
Express (-7*y**2 - 22*y**2 + 9*y**2)*(-12 - 16*y**2 + 919*y - 465*y - 455*y) as p*y + l + x*y**4 + u*y**2 + k*y**3 and give k.
20
Express (4 - 18 + 2)*(-7*b**2 - 10*b**2 - 3*b - 2 + 23*b**2) as m*b**2 + s*b + o and give o.
24
Express (1 - w - 1)*(3 + 1 - 2) + (-81 - 2 - 73)*(-5 + 0 + 4)*(-28*w + w + 12*w) in the form r*w + k and give k.
0
Express (0 - 6 + 0)*(5*j**2 - 31742 + 31745 + 3*j + j**2) in the form i*j + t*j**2 + p and give p.
-18
Express 25*h**4 + 110 - 2*h**2 - 111 - 37*h**4 + (0*h**4 - 2*h**4 + h**4)*(-4 - 1 - 2)*(0 + 0 + 2) in the form b*h**2 + g*h + f*h**4 + t + z*h**3 and give t.
-1
Express s**4 - 1 + 119*s**2 - 114*s - 55*s**2 - s**4 - 62*s**2 + 2*s**3 + s**4 as y*s**4 + a*s**3 + g*s + m + v*s**2 and give m.
-1
Rearrange -1526*h**4 + 8*h**2 - 120*h**3 + 1532*h**4 + 123*h**3 to the form v + k*h**3 + c*h + u*h**2 + g*h**4 and give u.
8
Rearrange -5 + 6 - 111*q - 9 - 1 + 10 to the form i*q + f and give i.
-111
Express 556 + 2*u**3 + 540 + 36*u - 1096 - u**2 as i*u**3 + l*u**2 + z + j*u and give j.
36
Rearrange (218807 + 23*t**3 - 218807 - 5*t)*(-2*t + 0*t + 4*t) + 4*t - 4*t - 2*t**4 + t**2 to i*t**4 + n*t**3 + l + d*t + b*t**2 and give l.
0
Express -3*s + 8*s**2 + 18*s**3 + 895 - 897 - 11*s**2 as r*s + t*s**3 + c + q*s**2 and give t.
18
Rearrange (-u**2 + 3*u**2 - u**2)*(6*u + 0*u - 3*u) - 220*u + 99*u + 114*u**3
|
{
"pile_set_name": "DM Mathematics"
}
|
o) = -o**2 + 2*o + 4. Let k be q(4). What is the third smallest value in -2, k, -0.2?
-0.2
Let j = -5 - -8. Let u be (-2 - (-7)/j)*-1. Let d = -0.962 - 0.038. Which is the second smallest value? (a) d (b) u (c) -1/6
b
Let k = -47 - -48.9. Let z = k - 2. Let y = -0.56 + 0.06. Which is the biggest value? (a) z (b) 4 (c) y
b
Let u be (-75)/(-36) + -1 + -1. Which is the second biggest value? (a) -2/9 (b) u (c) 15 (d) -0.4
b
Let m = 0.4 - 1.5. Let k = m + 7.1. Which is the second smallest value? (a) -1/5 (b) k (c) -5
a
Suppose 4*g + 0*g = -28. Let k = g - -12. What is the third biggest value in k, 2/3, -3?
-3
Let w = -0.01 + -0.05. Let k = w - -0.66. Let x = 0.8 - k. What is the second biggest value in x, 1, 5?
1
Let w = -4.2 + 4. Let y = 0.75 - 0.35. Which is the third smallest value? (a) w (b) 5 (c) y
b
Suppose -1 = -2*h + 3*h - 2*i, 5*i - 6 = -h. What is the biggest value in -3, 9, h?
9
Let p = -5.3 - -5. Which is the second smallest value? (a) p (b) 5 (c) -1/4
c
Let q be -3 - -5 - 11/6. Let v = 0.08 - 8.08. Let d = -4 - v. What is the third biggest value in d, 5, q?
q
Let r(k) = k**3 - 13*k**2 + 15*k - 6. Let g be r(12). Let b be (g/20)/(1/2). What is the second biggest value in b, -2/9, -1/5?
-1/5
Let g = 174.95 - 171. Let s = -0.05 - g. Suppose 1 + 13 = -3*f - 5*j, -j = 2*f + 7. Which is the biggest value? (a) s (b) f (c) -1/6
c
Let i = 5 + -5. Suppose -2*x + i*x = 0. Which is the third biggest value? (a) x (b) -0.4 (c) 2/11
b
Let b = -14 - -27/2. Let k be (-7)/(-21)*(-2 - 13). What is the third biggest value in 0.1, k, b?
k
Let j = 5.7 + -6. Let k be 662/18*24/16. Let m = k + -55. Which is the biggest value? (a) m (b) j (c) 5
c
Let l = 7/96 - -3/32. Let h = 1/2 - l. Which is the smallest value? (a) h (b) 4 (c) 2
a
Let l be (-75)/15 + 18/4. Let b be 6/(-10)*4/6. What is the third biggest value in l, b, 5?
l
Let x = -273 + 271. Let q = 3 - 3.03. Let w = -5.03 - q. Which is the third biggest value? (a) 3 (b) w (c) x
b
Let u = -3.96 + -0.04. Let g = u + 7. What is the third smallest value in -2/7, -2/3, g?
g
Let w = 0.1 - 0.1. Let u = 4 + -3.85. Let k = -0.05 + u. Which is the second smallest value? (a) 0.3 (b) k (c) w
b
Let s = 1 - -3. Suppose -2*r = -s*j + r + 22, 10 = -5*r. Let m = 67 + -70. Which is the third biggest value? (a) 3 (b) j (c) m
c
Let f = -79/345 - -2/69. Let x = -337/3445 + 6/53. Let u = -123/455 - x. Which is the second smallest value? (a) -4 (b) f (c) u
c
Let x = 22 + -22.3. What is the biggest value in x, -0.06, -1?
-0.06
Let p = -0.9 - -1. What is the second smallest value in p, 5, 0?
p
Let i be (-232)/(-4785) + (-18)/(-22) + -1. Which is the second biggest value? (a) i (b) -56 (c) 1/2
a
Let t be 710/8 + 1/4. Let y = t + -622/7. What is the third biggest value in y, 0.1, -2?
-2
Let f be (2 + 7/(-4))/1. Let a = -0.2 + 0.1. What is the smallest value in a, f, 1?
a
Let s(n) = -n**3 + 8*n**2 + 2*n - 12. Let k be s(8). Let m = -83468 - -21618129/259. Let v = m + -4/37. Which is the smallest value? (a) -4 (b) k (c) v
a
Let j = -0.1 + 1.1. Let t be 0 - (21 + 6/(-2)). Let d = t + 13. Which is the second biggest value? (a) -4 (b) j (c) d
a
Let a = 20.5 + -21. What is the third smallest value in -0.1, a, 0.3?
0.3
Let k = 11 + -10. What is the smallest value in 3, -3, k?
-3
Let x = -68 - -66. Which is the second biggest value? (a) 1/7 (b) 3 (c) x
a
Let s = -1.3 - 2.7. Which is the second biggest value? (a) -1.3 (b) s (c) 4
a
Let y = 2/35 + -41/105. What is the third smallest value in 0.1, 0.8, -4, y?
0.1
Let u = 85 - 90. Let q = 0.9 + -1. Which is the smallest value? (a) q (b) u (c) -0.5
b
Suppose 4*z = 14 + 6. What is the second biggest value in 4, -0.3, z?
4
Suppose -u = -5*u. Suppose 3*i = -u*i. Let q be (-2)/9 + (-29)/(-9). Which is the second smallest value? (a) i (b) -3 (c) q
a
Let d = 10.7 + -11. Let c = -67/273 + 4/39. What is the third biggest value in 0.4, c, d?
d
Let j = -37 - -35. Which is the biggest value? (a) j (b) 4 (c) -2/9
b
Let s = 0.1 + -4.1. Let j = -0.1 + 7.1. Let p = -4 + j. What is the third smallest value in -1, p, s?
p
Let s(m) = -9*m - 2. Let u be s(-1). Suppose r - 4 = -2*t, 6*r - r = -5*t + 20. Which is the third smallest value? (a) 3 (b) u (c) t
b
Let f = -9 + 8.9. What is the second smallest value in 1/3, f, 1?
1/3
Suppose 3*u - 3*j - 6 = 0, 0*j - 4*j = 3*u + 29. Let g = -2 + -3. What is the third smallest value in u, g, -0.5?
-0.5
Let v be 2*(-3)/(-12)*10. Let s = v - 5. Let k be (s + 0)/(2 - 1). Which is the second biggest value? (a) 4 (b) -2 (c) k
c
Let x = -14.99 + 15. Let i = 0.01 - x. What is the smallest value in -2, 0.1, i?
-2
Let p = 27 - 24. What is the biggest value in -4, 2, 1, p?
p
Suppose 5*k - 37 = k - 5*u, -k = 2*u - 13. What is the third smallest value in 2, k, 2/13, 0?
2
Let b(r) = -r + 4. Let l be b(-3). What is the third biggest value in -2/9, -2/11, l?
-2/9
Let u = -0.26 + 0.16. Which is the third biggest value? (a) -3 (b) 2 (c) 6 (d) u
d
Suppose -h + x + 11 = 4*x, -x = -3*h + 3. Let u = 0.32 + -0.12. What is the third smallest value in u, 2/7, h?
h
Suppose 0 = 4*z - 2*z + 8. Which is the third biggest value? (a) 3/2 (b) z (c) 1
b
Let h = 5.1 + -5.5. What is the second biggest value in -0.1, 2, h, 3?
2
Let p(g) be the first derivative of g**3 - g**2 + g + 7. Let z be p(1). Which is the smallest value? (a) z (b) 0.05 (c) -5
c
Let t = -7 + 10. Let m = 0.03 + 0.27. Which is the third biggest value? (a) m (b) -0.01 (c) t
b
Let s = -1.048 + 0.048. Which is the fourth smallest value? (a) s (b) -0.4 (c) 3/7 (d) -17
c
Let l = 6 + -2. Let s be 33/6 + (0 - l). What is the biggest value in s, -0.5, 0?
s
Suppose 5*q + 5*k - 20 = 0, 2*q + k - 3 + 0 = 0. Let f(z) = 14*z - 6. Let r be f(5). Let w = 255/4 - r. Which is the biggest value? (a) w (b) q (c) -0.3
a
Let l = 0.14 - -3.86. Let h = -2108/9 - -234. Let x = 5.4 - 0.4. What is the smallest value in l, h, x?
h
Let r = 7 - 6. Which is the biggest value? (a) r (b) 0.1 (c) -1
a
Let p = -1 + 0.5. Let f = 37.4 - 37. Which is the second biggest value? (a) f (b) p (c) 5
a
Let f = 0.1 + -0.3. Let w = 6.4 - 4. Let h = w + -2. Which is the biggest value? (a) h (b) f (c) 2
c
Let b = -0.04 - 0.56. Let c = -22.6 - -25. Let q = b - c. What is the second biggest value in 5, -4/5, q?
-4/5
Let o = 0.25 + -14.25. Let x = o + 14.1. Let n = 0.8 + -4.8. Which is the third biggest value? (a) n (b) x (c) 0
a
Let p = -2 - -2.1. Let w = -300 + 6603/22. Let j = w - 10/33. Which is the second biggest value? (a) p (b) -5 (c) j
c
Let t = -7 - -10. Suppose 140 = 5*r - 5*a, -t*r - 3*a = -5*a - 79. Suppose -5*b = -8 + r. What is the biggest value in -0.3, b, 0?
0
Let k = -1.08 + 0.08. What is the biggest value in 0.4, -5, k?
0.4
Let t = -0.123 + -6.877. What is the second smallest value in t, -4, -0.5?
-4
Let k be ((-112)/(-98))/(6/21). Which is the second smallest value? (a) 2 (b) k (c) -1 (d) -11/3
c
Let y = 761/1743 - 2/249. What is the smallest value in -2/15, y, -1?
-1
Let u = 0.7 + -1. Let z = u + 0. What is the third smallest value in z, 0.4, 1/2?
1/2
Let m = 1.6 + -2.1. What is the biggest value in 0, m, -1/6?
0
Let y be 192/112*(-1)/4. What is the third smallest value in 0.2, y, 3?
3
Let c = 212 - 1487/7. Let q = 0.3 - 0.4. What is the second biggest value in c, 0.3, q?
q
Let c = -9 + 6. What is the biggest value in c, -1/3, 5?
5
Let d = 4.7 - -0.3. Let n = -632 + 634. What is the third smallest value in -2/9, d, n?
d
Let j = -44.1 + 51. Let s = -0.1 - j. Let u = 3 + s. Which is the third biggest value? (a) -2 (b) u (c) -3/4
b
Let c be (-47)/44 + (-75)/(-60). Let j = 2 + 0. Let i = 0 - j. What is the third smallest value in c, i, 0?
c
Let u be (-4)/(-6) + 0/(-14). Which is the second smallest value? (a) u (b) -0.8 (c) -4/7
c
Let k(x) = 3*x**3 - 2*x**2 + x. Let l be k(1). Suppose -n + 6 = l. Which is the biggest value? (a) n (b) -0.4 (c) -4
a
Let i = 0.9 + -5.9. What is the third smallest value in 0.2, 5, i?
5
Let q = 2 + -1.9. Let s(j) = j - 8. Let f be s(11). Suppose 5*w = f*w. Which is the biggest value? (a) w (b) 1/7 (c) q
b
Let v = -25.87 - -26. Let q = -0.43 + v. What is the biggest value in q, -1/5, -2/3?
-1/5
Suppose 76 = -2*b + 70. W
|
{
"pile_set_name": "DM Mathematics"
}
|
75640 or 0?
-3/175640
Which is bigger: 10142 or 10188?
10188
Which is smaller: -1605 or -12847/8?
-12847/8
Is 0 >= -74/30481?
True
Which is greater: -1008 or -952?
-952
Which is greater: 167970 or 167971?
167971
Which is smaller: -6/45281 or 1?
-6/45281
Which is smaller: 0.21 or 9/305?
9/305
Is 691113 bigger than 691113?
False
Is -8246 at most -8244?
True
Which is bigger: -406/1515 or 0?
0
Is -87853 at most as big as -87863?
False
Which is smaller: 6/31 or -3/22411?
-3/22411
Is -927/413 >= -2?
False
Does -6894 = -46?
False
Which is smaller: -2720 or 77?
-2720
Is 26/9111 at most 1?
True
Which is greater: -1411 or -1380?
-1380
Which is smaller: -32 or 1296?
-32
Is 0 greater than or equal to 99/1387?
False
Is 136860 smaller than 136856?
False
Is 9/323 greater than or equal to 15?
False
Which is smaller: -5/3210621 or 1?
-5/3210621
Which is bigger: -2 or -452/277?
-452/277
Is -25.9 greater than 13.92?
False
Which is smaller: 91 or 102?
91
Is 35 less than or equal to -5376/5?
False
Is -1510795 equal to -1510794?
False
Is 80033 at most as big as 80037?
True
Which is bigger: 1 or -55818?
1
Is 23.8 <= 121.8?
True
Which is greater: -411248 or -1233743/3?
-1233743/3
Is 103/49 equal to 2?
False
Is -2/14259 != 2/7?
True
Are -132.963 and 0.2 non-equal?
True
Which is smaller: -2/108607 or 0?
-2/108607
Is -1 less than -49/98899?
True
Is 96052 equal to 96052?
True
Are 21660 and 21658 equal?
False
Which is bigger: -1 or -2/3698727?
-2/3698727
Does 4/1133509 = -1?
False
Which is smaller: 666 or 667?
666
Is -0.1 less than 94.811?
True
Is -4235/12 equal to -354?
False
Is -33841 not equal to -33838?
True
Which is bigger: 0.05 or -37916?
0.05
Does -926 = 760?
False
Which is greater: 375 or 63?
375
Is 0.02 != -63246?
True
Is 9 at most 619/68?
True
Is 0 < -6/3569153?
False
Which is smaller: 1 or -2/3646459?
-2/3646459
Which is smaller: 18652 or -2/17?
-2/17
Which is smaller: 230530 or 230532?
230530
Is -794 less than -27816/35?
False
Which is bigger: 114 or -290?
114
Which is greater: -1 or -2/895395?
-2/895395
Which is greater: -2530 or -53120/21?
-53120/21
Which is smaller: -137 or -1031?
-1031
Which is bigger: 124 or 5330/43?
124
Which is smaller: -119/1067 or 1.7?
-119/1067
Is -41784 not equal to -41783?
True
Which is smaller: -920 or -37756/41?
-37756/41
Which is smaller: 1.84 or 0.0446?
0.0446
Which is greater: -19/7890 or -1?
-19/7890
Is -1/12241969 >= 1?
False
Which is smaller: -13209/41 or -1?
-13209/41
Are -10747 and -10747 equal?
True
Which is bigger: -821576/5 or -164315?
-164315
Which is bigger: -22/2815 or 0?
0
Which is smaller: 68507 or 274029/4?
68507
Which is greater: -145 or -185?
-145
Which is smaller: 0.337 or -150/7?
-150/7
Is 1292014/23 equal to 56174?
False
Is -58872/53 less than -1111?
False
Which is greater: -1/61151 or 0.5?
0.5
Which is bigger: 15/243506 or 0?
15/243506
Which is smaller: -70/37647 or -0.1?
-0.1
Is -2/207557 greater than 1?
False
Which is greater: 10 or 349/34?
349/34
Do 0 and 10749200 have different values?
True
Which is bigger: -4 or -4170/947?
-4
Which is smaller: -31.875 or 1/3?
-31.875
Which is smaller: -934 or -969?
-969
Which is bigger: 180/125797 or 1?
1
Which is smaller: 2/7 or 54.235?
2/7
Is 24 <= 0.0426?
False
Which is bigger: 0 or 1/717109?
1/717109
Are 5187722 and -2 unequal?
True
Is -575353 equal to -575352?
False
Is -2.7 smaller than 3516?
True
Is 173205/2 less than -1?
False
Which is bigger: -1628 or -491?
-491
Which is smaller: -4 or -2952/1163?
-4
Which is greater: -8912/17 or -525?
-8912/17
Is -544 less than or equal to -16910/31?
False
Which is smaller: -1 or -1304/715?
-1304/715
Which is bigger: 625/87 or 7?
625/87
Is -2/23 at most -61011?
False
Which is smaller: -16366 or -130923/8?
-16366
Which is bigger: 112227 or 112225?
112227
Which is bigger: 3 or 2133/736?
3
Is 7/372871 bigger than 0?
True
Which is smaller: 196754 or 196758?
196754
Is -69892 > -69891?
False
Is 42 greater than -3045?
True
Which is smaller: -5 or -668516?
-668516
Is -36505 <= -36518?
False
Which is smaller: 253024 or 253027?
253024
Is 2148 bigger than 2136?
True
Which is bigger: -35145/7 or -5020?
-5020
Is 122338 bigger than 122334?
True
Are 594 and 82411/139 unequal?
True
Do 0 and 292/12969 have the same value?
False
Which is greater: -236436 or -945749/4?
-236436
Which is bigger: -3930 or -27512/7?
-3930
Which is smaller: -297 or 0.064?
-297
Are 819523 and 819524 equal?
False
Which is greater: -3/89 or -592?
-3/89
Is 91 not equal to -289?
True
Which is greater: 0.1253 or -136?
0.1253
Are -5596978 and -5596977 unequal?
True
Is 1 at least as big as 631/3359?
True
Which is bigger: -12522 or -12520?
-12520
Which is smaller: -5/25828 or -1?
-1
Which is bigger: -415 or -14133/34?
-415
Is 5405 not equal to 5420?
True
Which is smaller: -1853 or -1924?
-1924
Is -11711 at most as big as -11711?
True
Is -14549 <= -101839/7?
True
Which is smaller: 1/729354 or -1?
-1
Which is smaller: 685 or 323?
323
Which is smaller: -2969 or -50?
-2969
Is 1566670 smaller than -0.5?
False
Is 3 at most as big as 1853/1192?
False
Which is bigger: 1 or -17/6198?
1
Does 10287/31 = 333?
False
Which is smaller: -14 or 22?
-14
Are 473 and 10.9 equal?
False
Is 255412/5 less than 51083?
True
Is 3203320 at least as big as 3203322?
False
Which is smaller: -1246 or -1256?
-1256
Which is smaller: -425675 or -425676?
-425676
Which is smaller: -30847 or -30852?
-30852
Is 780 < 10905/14?
False
Which is greater: -20 or -4498?
-20
Are -1/2 and -445330 non-equal?
True
Which is smaller: -780212 or -780213?
-780213
Do 7985661 and 7985659 have the same value?
False
Are 38 and 276/7 unequal?
True
Is -11545 greater than or equal to -11306?
False
Which is smaller: -5 or -1811?
-1811
Which is bigger: -3283696 or -1/3?
-1/3
Which is bigger: -227786 or -227763?
-227763
Is 1446177 at most 1446178?
True
Which is smaller: -37/23 or -5/11?
-37/23
Is 1 <= 2/1252753?
False
Is 56 >= -10309?
True
Is 149600 != 149621?
True
Is -1662/17 at least as big as 8?
False
Which is smaller: -605 or -641?
-641
Which is smaller: 0.06 or -30007?
-30007
Is 7611/106 less than or equal to 71?
False
Which is greater: -12 or -471/40?
-471/40
Is -19632 not equal to -19631?
True
Is -301/925 less than 0?
True
Are 276101/11 and 25101 nonequal?
True
Is 8286 greater than or equal to 8345?
False
Is -44 at least as big as 23.89?
False
Is -2/7 at least 354989?
False
Is -5425 equal to -5418?
False
Is 445 less than or equal to -1968?
False
Which is smaller: -6.17 or 43?
-6.17
Is -1 less than or equal to -143/6438?
True
Is 476/5 <= -6/31?
False
Is -874724 smaller than -874724?
False
Which is bigger: -2077 or -2107?
-2077
Which is greater: -1 or -2/46283?
-2/46283
Which is greater: 870783/5 or 174156?
870783/5
Which is smaller: -70153 or -70155?
-70155
Which is smaller: -1521981 or -1521980?
-1521981
Which is greater: -5031985 or 0.1?
0.1
Is 1 <= 40/154469?
False
Are 0 and 120/821 unequal?
True
Is 1/32261 greater than 1?
False
Which is bigger: 326835 or 326834?
326835
Which is smaller: 18 or -572?
-572
Is 10204 at most 10204?
True
Is 1165/1689 greater than -0.1?
True
Which is bigger: -500522/9 or -55613?
-55613
Which is smaller: 174 or 209?
174
Which is smaller: 419696 or 419692?
419692
Is 1076933 equal to 1076934?
False
Which is smaller: -1 or -2387?
-2387
Are -316 and -123 equal?
False
Is 14760/17 at least as big as 869?
False
Which is bigger: -2010400 or -2/3?
-2/3
Which is greater: -1/2 or 0.384146?
0.384146
Is -13338 < -13336?
True
Is 10879 at most 10877?
False
Are -200583 and -200596 equal?
False
Which is smaller: 18 or 2177/123?
2177/123
Which is smaller: 4370 or 4391?
4370
Which is smaller: 0.5 or 635677?
0.5
Is -28269 smaller than -28316?
False
Which is smaller: -86/617 or 1?
-86/617
Is -1.1477 smaller than -6?
False
Which is bigger: -1 or 894/2339?
894/2339
Which is greater: -0.5797 or 60?
60
Is -1960/37 smaller than -53?
False
Which is bigger: -101020 or -101009?
-101009
Are -2/195723 and 0 unequal?
True
Which is smaller: -1 or -3/18467?
-1
Which is greater: -24286 or -24276?
-24276
Which is smaller: 1/115593 or 0?
0
Is -9758 at most as big as -10?
True
Which is bigger: 1/303740 or -1?
1/303740
Which is bigger: 60410 or -25?
60410
Which is smaller: 3649 or 3647?
3647
Which is bigger: 560/43 or 14?
14
Which is sm
|
{
"pile_set_name": "DM Mathematics"
}
|
llions digit of 9046956?
9
What is the thousands digit of 424334?
4
What is the ten thousands digit of 311913?
1
What is the thousands digit of 2537636?
7
What is the units digit of 34115?
5
What is the tens digit of 691675?
7
What is the hundred thousands digit of 208820?
2
What is the tens digit of 8053565?
6
What is the millions digit of 16060953?
6
What is the hundred thousands digit of 4514563?
5
What is the hundreds digit of 1835728?
7
What is the hundreds digit of 57452?
4
What is the thousands digit of 226744?
6
What is the hundreds digit of 51653?
6
What is the thousands digit of 556412?
6
What is the hundreds digit of 387463?
4
What is the hundreds digit of 3082?
0
What is the hundreds digit of 121188?
1
What is the thousands digit of 3469317?
9
What is the ten thousands digit of 3409441?
0
What is the tens digit of 743657?
5
What is the tens digit of 2619476?
7
What is the thousands digit of 7942097?
2
What is the units digit of 456448?
8
What is the tens digit of 2596033?
3
What is the units digit of 3895031?
1
What is the ten thousands digit of 231598?
3
What is the ten thousands digit of 274294?
7
What is the units digit of 6163769?
9
What is the ten thousands digit of 3392545?
9
What is the hundreds digit of 1939713?
7
What is the hundreds digit of 730018?
0
What is the ten thousands digit of 3182329?
8
What is the ten thousands digit of 275262?
7
What is the ten thousands digit of 253387?
5
What is the units digit of 1855678?
8
What is the hundred thousands digit of 468756?
4
What is the hundred thousands digit of 19708486?
7
What is the units digit of 955123?
3
What is the hundred thousands digit of 4414708?
4
What is the tens digit of 2376682?
8
What is the thousands digit of 874363?
4
What is the tens digit of 1346079?
7
What is the millions digit of 4630289?
4
What is the millions digit of 7995529?
7
What is the ten thousands digit of 50745?
5
What is the hundreds digit of 442144?
1
What is the thousands digit of 2922795?
2
What is the ten thousands digit of 34514040?
1
What is the ten thousands digit of 298701?
9
What is the tens digit of 1565787?
8
What is the hundred thousands digit of 920348?
9
What is the hundred thousands digit of 27724542?
7
What is the hundreds digit of 1186480?
4
What is the ten thousands digit of 253663?
5
What is the tens digit of 992947?
4
What is the hundreds digit of 8070218?
2
What is the thousands digit of 2562049?
2
What is the hundred thousands digit of 16558722?
5
What is the millions digit of 1386970?
1
What is the ten millions digit of 22381853?
2
What is the hundreds digit of 6457047?
0
What is the hundreds digit of 1844877?
8
What is the ten millions digit of 21927613?
2
What is the thousands digit of 604224?
4
What is the tens digit of 2532458?
5
What is the thousands digit of 68251?
8
What is the tens digit of 2977550?
5
What is the hundreds digit of 336520?
5
What is the units digit of 5808320?
0
What is the hundred thousands digit of 216910?
2
What is the hundreds digit of 19830288?
2
What is the tens digit of 209213?
1
What is the units digit of 257227?
7
What is the tens digit of 15125793?
9
What is the hundreds digit of 407693?
6
What is the millions digit of 1068398?
1
What is the ten thousands digit of 100247?
0
What is the millions digit of 17519363?
7
What is the units digit of 10704294?
4
What is the units digit of 14604?
4
What is the units digit of 171166?
6
What is the hundreds digit of 7354202?
2
What is the thousands digit of 245933?
5
What is the tens digit of 310827?
2
What is the millions digit of 4336316?
4
What is the ten thousands digit of 14943656?
4
What is the tens digit of 269168?
6
What is the tens digit of 2189673?
7
What is the units digit of 8268942?
2
What is the units digit of 1116063?
3
What is the ten thousands digit of 121244?
2
What is the hundred thousands digit of 2830567?
8
What is the thousands digit of 486284?
6
What is the hundred thousands digit of 413490?
4
What is the hundred thousands digit of 1442578?
4
What is the millions digit of 6029846?
6
What is the thousands digit of 4234800?
4
What is the thousands digit of 320381?
0
What is the tens digit of 126010?
1
What is the millions digit of 2725821?
2
What is the thousands digit of 265481?
5
What is the hundred thousands digit of 363102?
3
What is the thousands digit of 12205432?
5
What is the tens digit of 136506?
0
What is the thousands digit of 426311?
6
What is the hundred thousands digit of 256110?
2
What is the hundred thousands digit of 435746?
4
What is the ten thousands digit of 2730788?
3
What is the ten thousands digit of 986601?
8
What is the units digit of 81257?
7
What is the hundreds digit of 13527617?
6
What is the hundred thousands digit of 3501786?
5
What is the hundred thousands digit of 20010827?
0
What is the thousands digit of 32530387?
0
What is the tens digit of 141943?
4
What is the thousands digit of 2303193?
3
What is the tens digit of 1628680?
8
What is the ten thousands digit of 6171812?
7
What is the ten thousands digit of 153979?
5
What is the millions digit of 5103290?
5
What is the hundreds digit of 45486?
4
What is the hundred thousands digit of 617346?
6
What is the ten thousands digit of 248676?
4
What is the hundred thousands digit of 10317980?
3
What is the tens digit of 85597?
9
What is the units digit of 7190780?
0
What is the hundreds digit of 157526?
5
What is the tens digit of 1962328?
2
What is the thousands digit of 451884?
1
What is the millions digit of 1126972?
1
What is the thousands digit of 4067695?
7
What is the tens digit of 32784?
8
What is the tens digit of 205405?
0
What is the hundred thousands digit of 291591?
2
What is the hundreds digit of 10111184?
1
What is the millions digit of 36546223?
6
What is the hundreds digit of 297903?
9
What is the units digit of 536985?
5
What is the thousands digit of 180552?
0
What is the units digit of 923446?
6
What is the tens digit of 23780222?
2
What is the units digit of 26403607?
7
What is the thousands digit of 364839?
4
What is the thousands digit of 12208225?
8
What is the tens digit of 473533?
3
What is the thousands digit of 5289?
5
What is the hundreds digit of 165272?
2
What is the ten thousands digit of 3517752?
1
What is the ten thousands digit of 153693?
5
What is the thousands digit of 969358?
9
What is the hundreds digit of 1081748?
7
What is the hundred thousands digit of 116453?
1
What is the units digit of 2636615?
5
What is the ten thousands digit of 563023?
6
What is the tens digit of 3308761?
6
What is the units digit of 257164?
4
What is the tens digit of 282317?
1
What is the hundreds digit of 457837?
8
What is the hundred thousands digit of 205440?
2
What is the units digit of 1060524?
4
What is the thousands digit of 19508?
9
What is the thousands digit of 3729806?
9
What is the tens digit of 644449?
4
What is the tens digit of 5704370?
7
What is the millions digit of 17967959?
7
What is the tens digit of 2723295?
9
What is the hundred thousands digit of 624335?
6
What is the hundreds digit of 22366303?
3
What is the ten thousands digit of 5747750?
4
What is the millions digit of 23777433?
3
What is the tens digit of 3644731?
3
What is the ten thousands digit of 1730087?
3
What is the hundreds digit of 234162?
1
What is the thousands digit of 2188995?
8
What is the units digit of 1332097?
7
What is the units digit of 25774441?
1
What is the hundreds digit of 1366157?
1
What is the hundreds digit of 3131?
1
What is the hundreds digit of 343989?
9
What is the hundred thousands digit of 472360?
4
What is the hundreds digit of 341520?
5
What is the hundreds digit of 18537297?
2
What is the ten millions digit of 14367948?
1
What is the ten thousands digit of 4049371?
4
What is the hundred thousands digit of 3472226?
4
What is the tens digit of 335551?
5
What is the hundreds digit of 41632221?
2
What is the hundreds digit of 1368871?
8
What is the ten thousands digit of 100664?
0
What is the thousands digit of 2034834?
4
What is the units digit of 336039?
9
What is the units digit of 3695980?
0
What is the ten thousands digit of 7928119?
2
What is the ten thousands digit of 18812130?
1
What is the thousands digit of 402863?
2
What is the units digit of 241055?
5
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
-i + 209767221
What is the b'th term of -816649, -3265951, -7348121, -13063159, -20411065?
-816434*b**2 - 215
What is the g'th term of -1204, -2741, -4612, -6817, -9356?
-167*g**2 - 1036*g - 1
What is the j'th term of 1433, 3138, 4843?
1705*j - 272
What is the r'th term of 25, -321, -1463, -3797, -7719?
-66*r**3 - 2*r**2 + 122*r - 29
What is the g'th term of -50237, -50252, -50273, -50300, -50333, -50372, -50417?
-3*g**2 - 6*g - 50228
What is the s'th term of -50058, -100386, -150714, -201042?
-50328*s + 270
What is the a'th term of 5985175, 5985174, 5985173, 5985172, 5985171?
-a + 5985176
What is the f'th term of 68963, 276189, 621595, 1105205, 1727043?
4*f**3 + 69066*f**2 - 107
What is the k'th term of -34721, -71619, -108613, -145751, -183081, -220651, -258509?
-8*k**3 - 36842*k + 2129
What is the z'th term of 37684, 75366, 113048?
37682*z + 2
What is the q'th term of 112, 1797, 3482, 5167, 6852?
1685*q - 1573
What is the z'th term of 17813503, 35627004, 53440505, 71254006, 89067507, 106881008?
17813501*z + 2
What is the c'th term of -16629, -62155, -136577, -239895, -372109, -533219, -723225?
-14448*c**2 - 2182*c + 1
What is the s'th term of -104, -1570, -5518, -13190, -25828, -44674?
-207*s**3 + s**2 - 20*s + 122
What is the o'th term of -390, -216, 16, 324, 726?
3*o**3 + 11*o**2 + 120*o - 524
What is the y'th term of 2133, 8345, 25227, 58113, 112337?
889*y**3 + y**2 - 14*y + 1257
What is the t'th term of -739529, -1479053, -2218577, -2958101, -3697625, -4437149?
-739524*t - 5
What is the k'th term of -372997, -748103, -1123209, -1498315, -1873421?
-375106*k + 2109
What is the b'th term of 9427, 39092, 88615, 158062, 247499, 356992, 486607?
11*b**3 + 9863*b**2 - b - 446
What is the b'th term of -7413, -7731, -8021, -8283, -8517?
14*b**2 - 360*b - 7067
What is the j'th term of -369421, -738957, -1108493?
-369536*j + 115
What is the a'th term of -14382, -28844, -43314, -57792, -72278, -86772, -101274?
-4*a**2 - 14450*a + 72
What is the m'th term of 392, 623, 752, 785, 728, 587, 368?
m**3 - 57*m**2 + 395*m + 53
What is the s'th term of 30330, 30319, 30292, 30237, 30142?
-2*s**3 + 4*s**2 - 9*s + 30337
What is the i'th term of -22551, -22428, -22307, -22188, -22071?
-i**2 + 126*i - 22676
What is the r'th term of -291, -629, -1629, -3621, -6935, -11901, -18849, -28109?
-55*r**3 - r**2 + 50*r - 285
What is the m'th term of 17852, 71067, 159750, 283901, 443520, 638607?
17734*m**2 + 13*m + 105
What is the f'th term of -25476, -203743, -687608, -1629873, -3183340, -5500811, -8735088?
-25467*f**3 + 3*f**2 - 7*f - 5
What is the p'th term of 51228, 51495, 51914, 52491, 53232, 54143, 55230?
p**3 + 70*p**2 + 50*p + 51107
What is the p'th term of 583204, 1166345, 1749486, 2332627, 2915768, 3498909?
583141*p + 63
What is the h'th term of -1406, -6474, -14916, -26732?
-1687*h**2 - 7*h + 288
What is the o'th term of 20959, 23844, 28651, 35380, 44031, 54604?
961*o**2 + 2*o + 19996
What is the f'th term of -2038, -626, 786, 2198, 3610, 5022?
1412*f - 3450
What is the y'th term of -2042428, -4084923, -6127420, -8169919, -10212420, -12254923?
-y**2 - 2042492*y + 65
What is the o'th term of -7155466, -7155507, -7155566, -7155643, -7155738, -7155851?
-9*o**2 - 14*o - 7155443
What is the q'th term of 58, 202, 394, 622, 874, 1138, 1402?
-2*q**3 + 36*q**2 + 50*q - 26
What is the f'th term of -8153498, -16306996, -24460492, -32613986, -40767478?
f**2 - 8153501*f + 2
What is the h'th term of -26643, -106549, -239701, -426099, -665743, -958633?
-26623*h**2 - 37*h + 17
What is the z'th term of 595207, 2380671, 5356445, 9522529, 14878923, 21425627?
595155*z**2 - z + 53
What is the t'th term of 16826, 68114, 153600, 273290, 427190, 615306, 837644, 1094210?
t**3 + 17093*t**2 + 2*t - 270
What is the n'th term of -155150, -155142, -155134, -155126?
8*n - 155158
What is the s'th term of 295798, 295415, 295032, 294649, 294266?
-383*s + 296181
What is the t'th term of 554, 893, 1586, 2813, 4754, 7589, 11498?
30*t**3 - 3*t**2 + 138*t + 389
What is the q'th term of 12392, 48327, 84260, 120191, 156120?
-q**2 + 35938*q - 23545
What is the q'th term of -81528, -164503, -247478?
-82975*q + 1447
What is the q'th term of -19496, -38590, -57684, -76778?
-19094*q - 402
What is the i'th term of -70905, -139720, -208535?
-68815*i - 2090
What is the u'th term of 90378, 361563, 813538, 1446303?
90395*u**2 - 17
What is the a'th term of -108447373, -216894746, -325342107, -433789450, -542236769?
a**3 - 108447380*a + 6
What is the l'th term of 24951, 49861, 74767, 99669?
-2*l**2 + 24916*l + 37
What is the q'th term of 615, 3753, 11353, 25353, 47691, 80305, 125133?
323*q**3 + 293*q**2 - 2*q + 1
What is the c'th term of -92970, -185913, -278832, -371727, -464598, -557445?
12*c**2 - 92979*c - 3
What is the j'th term of -186450, -372019, -557588, -743157, -928726?
-185569*j - 881
What is the k'th term of -82385, -159410, -236437, -313466, -390497, -467530?
-k**2 - 77022*k - 5362
What is the j'th term of 34649, 69050, 103457, 137870, 172289, 206714, 241145?
3*j**2 + 34392*j + 254
What is the c'th term of -101385483, -101385486, -101385489?
-3*c - 101385480
What is the a'th term of -366, -839, -1920, -3849, -6866, -11211, -17124, -24845?
-40*a**3 - 64*a**2 - a - 261
What is the g'th term of 996, 3687, 8168, 14439, 22500, 32351?
895*g**2 + 6*g + 95
What is the a'th term of 3899, 7773, 11609, 15389, 19095, 22709, 26213?
-3*a**3 - a**2 + 3898*a + 5
What is the j'th term of -2249, -4318, -6383, -8444, -10501?
2*j**2 - 2075*j - 176
What is the o'th term of -180491, -360972, -541447, -721916, -902379, -1082836?
3*o**2 - 180490*o - 4
What is the m'th term of 14300, 32591, 54866, 81125, 111368, 145595, 183806?
1992*m**2 + 12315*m - 7
What is the q'th term of -10176, -20439, -30700, -40959, -51216, -61471?
q**2 - 10266*q + 89
What is the a'th term of -1357275, -1357264, -1357253, -1357242?
11*a - 1357286
What is the t'th term of 8538, 5305, -80, -7617, -17306, -29147?
-1076*t**2 - 5*t + 9619
What is the d'th term of -5825984, -5825994, -5826004, -5826014, -5826024, -5826034?
-10*d - 5825974
What is the r'th term of -218, -324, -212, 220, 1074, 2452, 4456?
17*r**3 + 7*r**2 - 246*r + 4
What is the s'th term of 51701, 103417, 155131, 206843, 258553, 310261?
-s**2 + 51719*s - 17
What is the j'th term of 2443, 11168, 25709, 46066?
2908*j**2 + j - 466
What is the y'th term of -36744, -73476, -110194, -146892, -183564, -220204, -256806, -293364?
y**3 + y**2 - 36742*y - 4
What is the o'th term of -20141, -40042, -59943, -79844, -99745, -119646?
-19901*o - 240
What is the i'th term of -11205, -44721, -100547, -178683, -279129?
-11155*i**2 - 51*i + 1
What is the p'th term of -34864, -139457, -313790, -557875, -871724, -1255349, -1708762, -2231975?
-2*p**3 - 34858*p**2 - 5*p + 1
What is the p'th term of -17697, -13568, -6687, 2946, 15331, 30468?
1376*p**2 + p - 19074
What is the r'th term of 993397, 993495, 993665, 993913, 994245, 994667, 995185?
r**3 + 30*r**2 + r + 993365
What is the g'th term of 11107863, 22215733, 33323605, 44431479, 55539355, 66647233?
g**2 + 11107867*g - 5
What is the k'th term of -1705299, -1705378, -1705589, -1705998, -1706671?
-11*k**3 - 2*k - 1705286
What is the n'th term of 1520, 5862, 13098, 23228, 36252, 52170, 70982?
1447*n**2 + n + 72
What is the h'th term of -9108, -9189, -9266, -9339, -9408, -9473?
2*h**2 - 87*h - 9023
What is the p'th term of 4325, 4333, 4317, 4253, 4117, 3885, 3533?
-4*p**3 + 12*p**2 + 4317
What is the k'th term of 61019, 67195, 83957, 116597, 170407, 250679, 362705?
882*k**3 + k**2 - k + 60137
What is the s'th term of -33879, -33888, -33909, -33942, -33987?
-6*s**2 + 9*s - 33882
What is the a'th term of 10740, 21736, 32732, 43728, 54724, 65720?
10996*a - 256
What is the m'th term of -21463, -85832, -193101, -343258, -536291, -772188, -1050937?
2*m**3 - 21462*m**2 + 3*m - 6
What is the t'th term of -13148784, -26297567, -39446352, -52595139, -65743928?
-t**2 - 13148780*t - 3
What is the v'th term of -40949501, -81899003, -122848505?
-40949502*v + 1
What is the u'th term of 15649, 30890, 46131, 61372?
15241*u + 408
What is the u'th term of 35898, 36040, 36154, 36234, 36274, 36268, 36210?
-u**3 - 8*u**2 + 173*u + 35734
What is the a'th term of -95248, -190494, -285
|
{
"pile_set_name": "DM Mathematics"
}
|
in 6*n**2 - 12*n**2 + 2341*n**3 + 7*n**2 + 15*n.
2341*n**3 + n**2 + 15*n
Collect the terms in -196*b - 146*b + 370*b - 113*b.
-85*b
Collect the terms in -37089*n**3 - 36907*n**3 - 37063*n**3 + 111035*n**3.
-24*n**3
Collect the terms in 84 + 175 + 31*o**2 + 37.
31*o**2 + 296
Collect the terms in -380110*w + 1008*w**2 - 380103*w + 760213*w.
1008*w**2
Collect the terms in 575875*o**3 - 287096*o**3 - 288827*o**3.
-48*o**3
Collect the terms in 69*j**2 + 8*j**3 - 12*j**3 - 15*j**3 + 224*j**2 + 327*j**2.
-19*j**3 + 620*j**2
Collect the terms in -413*t**2 - 10*t**2 + 41*t**2 + 8*t + 3*t.
-382*t**2 + 11*t
Collect the terms in 408 + 411 - 1222 + 403 + 216*s - 397*s + 180*s.
-s
Collect the terms in -174*x**3 - 45*x**2 + 178*x**3 - 1501*x**2.
4*x**3 - 1546*x**2
Collect the terms in -104 - 103 + 300 - 16*u - 95.
-16*u - 2
Collect the terms in -204 - 291*l + 138*l + 394 + 144*l + 95.
-9*l + 285
Collect the terms in 298206 + 298078 - 596284 + 615*l**3.
615*l**3
Collect the terms in -8942*d**2 - 8852*d**2 - 8958*d**2 + 26384*d**2.
-368*d**2
Collect the terms in 6890*p**2 - 106627*p**2 + 4580*p**2.
-95157*p**2
Collect the terms in 147214*o - 46668*o - 36799*o + 130182*o + 116665*o.
310594*o
Collect the terms in -1395 - 1606 - 1159 - 2*s - s**2.
-s**2 - 2*s - 4160
Collect the terms in -61665*j**3 - 61792*j**3 + j + 123557*j**3.
100*j**3 + j
Collect the terms in -3 - 50*d**2 + 167*d**2 - 124*d**2 + 71*d**3 + 3.
71*d**3 - 7*d**2
Collect the terms in 318447*d + 83486*d + 315445*d.
717378*d
Collect the terms in -4819*g**3 + 5348 - 5348 + 28176*g**3.
23357*g**3
Collect the terms in -3789 - 13*n**2 + 799 + 8*n**2 - 9*n**2.
-14*n**2 - 2990
Collect the terms in -216630*z**3 - 216660*z**3 + 649869*z**3 - 216667*z**3.
-88*z**3
Collect the terms in -15908370340 + 15908370340 - 23*i.
-23*i
Collect the terms in 130*u**3 + 0*u - 70*u**2 - 4*u**2 + 74*u**2 + 0*u.
130*u**3
Collect the terms in -1615 - 26*t - 1621 + 3244 - 37*t + 80*t - 28*t.
-11*t + 8
Collect the terms in -298*q**3 - 65*q**3 - 101*q**3 + 5*q**3 - 143*q**3 - 143*q**3.
-745*q**3
Collect the terms in -4*d - d**2 + 48 - 5314*d**3 + 0*d - 48.
-5314*d**3 - d**2 - 4*d
Collect the terms in 14522*z**2 + 12849*z**2 - 27382*z**2.
-11*z**2
Collect the terms in -5*q - 75*q - 5*q + 54*q - 17*q + 25*q.
-23*q
Collect the terms in -19610*k - 17581*k + 37176*k.
-15*k
Collect the terms in 6796 + 6801 + 6839 - 20436 + 26*c**2.
26*c**2
Collect the terms in 42214359*u**3 - 84428681*u**3 + 42214377*u**3.
55*u**3
Collect the terms in -22994*f**2 - 28966*f**2 - 104 - 29086*f**2.
-81046*f**2 - 104
Collect the terms in 475 - 6304*h**2 - 6191*h**2 + 12497*h**2.
2*h**2 + 475
Collect the terms in 3186*d**2 - 3878 + 3878 - 3186*d**2 - 139*d**3.
-139*d**3
Collect the terms in 27*m**2 - 18291*m + 36965*m - 18674*m + 33*m**2.
60*m**2
Collect the terms in 328*l**2 - 328*l**2 + 814*l**3.
814*l**3
Collect the terms in 52081*m + 60298*m - 21887*m - 13894*m.
76598*m
Collect the terms in 0*d**2 - 1299272*d - 33*d**3 - 2*d**2 + 1299272*d.
-33*d**3 - 2*d**2
Collect the terms in 612*r + 107 - 131*r**2 + 101 - 308 + 100.
-131*r**2 + 612*r
Collect the terms in 16206*c - 5255*c - 5370*c - 5479*c.
102*c
Collect the terms in -12317593 + 19960*k - 153397*k + 12317593.
-133437*k
Collect the terms in -12282*b - 12125*b + 23848*b.
-559*b
Collect the terms in 22*f - f**2 - 106 + 232 + 46*f - 6*f - 103.
-f**2 + 62*f + 23
Collect the terms in 4644940*b**2 + 4*b**3 - 13934820*b**2 + 4644943*b**2 + 4644937*b**2.
4*b**3
Collect the terms in -226*m - 156*m - 26*m.
-408*m
Collect the terms in 30*k - 18*k**2 - 16 - 22*k**2 - 9*k**2 + 48*k**2.
-k**2 + 30*k - 16
Collect the terms in 24 - 13*a - 31 - 15*a + 39*a - 13*a + 3.
-2*a - 4
Collect the terms in -340183 - 3*s + s + 329708.
-2*s - 10475
Collect the terms in -126 - 37 - 2*o - 1.
-2*o - 164
Collect the terms in 390*m**2 - 6*m**2 - 60*m**2 - 45*m**2 - 2*m - 131*m**2 + 6.
148*m**2 - 2*m + 6
Collect the terms in 1134*g + 1135*g - 3417*g + 1148*g + 16*g**3.
16*g**3
Collect the terms in 1893*r**2 - 1893*r**2 + 114078*r**3.
114078*r**3
Collect the terms in -50*h**3 - 43643 + h**2 - h**2 + 43643.
-50*h**3
Collect the terms in -1743985 - 1744008 + 3487993 - 53*z.
-53*z
Collect the terms in -54 + 25 + 945606*x + 29.
945606*x
Collect the terms in -600*g**2 - 1 + 256*g**2 + 612*g**3 - 519*g**3 + 344*g**2.
93*g**3 - 1
Collect the terms in -171*o + 171*o + 40421*o**2.
40421*o**2
Collect the terms in 1678*i**2 + 350*i**2 - 2030*i**2.
-2*i**2
Collect the terms in -11838954*a - 11838955*a + 23677860*a.
-49*a
Collect the terms in -9 + 3066*s**2 + 2 + 7 + 7753*s**2.
10819*s**2
Collect the terms in 1549896*n + 1549895*n + 1549893*n - 4649691*n.
-7*n
Collect the terms in -12 - 43*x**2 + 42*x**2 - 3 - 46 + 68 - 7.
-x**2
Collect the terms in -45 + m**3 - 26*m**2 + 132*m**2 + 0*m**3 + 47.
m**3 + 106*m**2 + 2
Collect the terms in 193*m + 84*m + 94*m + 291*m.
662*m
Collect the terms in 21*g - 20*g + 2 - 2 + 1 + 3746*g**2.
3746*g**2 + g + 1
Collect the terms in -6381 + 7891 - 125339 + p + p**2.
p**2 + p - 123829
Collect the terms in 1687406 - 3374825 + 9*u**2 + 1687419.
9*u**2
Collect the terms in 285*u + 213*u - 660*u + 235*u.
73*u
Collect the terms in -875*a**3 - 832*a**3 + 2312*a**3 - 701*a**3.
-96*a**3
Collect the terms in -39 + 13 + 14 - 24029*n + 12.
-24029*n
Collect the terms in 105832 - 317486 + 105827 + 9*t**3 + 105827.
9*t**3
Collect the terms in -22*o**2 + 22*o**2 - 12*o - 4*o + 3*o**2 - 5*o - 5*o**2.
-2*o**2 - 21*o
Collect the terms in -2079 - 2084 + 4163 - 45371*m.
-45371*m
Collect the terms in 195717*g - 4*g**2 + 9*g**2 - 4*g**2.
g**2 + 195717*g
Collect the terms in -13*q**3 - 14*q**2 - 51*q**3 - 66*q**3 - 68*q**3 + 27*q**3.
-171*q**3 - 14*q**2
Collect the terms in 48*u**3 + 49*u**3 - 188*u**3 + 37*u**3 + 50*u**3.
-4*u**3
Collect the terms in l - 329*l**2 + 2392731191 + 0*l - 2392731191.
-329*l**2 + l
Collect the terms in 1357*k + 1831*k + 764*k + 2358*k - 810*k.
5500*k
Collect the terms in 24922*q - 21565*q + 114110*q.
117467*q
Collect the terms in 15*w + 30 + 17*w - 29*w - 38 + 9.
3*w + 1
Collect the terms in 2 + 323758852*t**2 - 2 - 323758856*t**2.
-4*t**2
Collect the terms in -526626*k**2 + 167*k - 897759*k**2 - 167*k.
-1424385*k**2
Collect the terms in -i**2 + 11 + 14*i**2 - 99*i - 18*i.
13*i**2 - 117*i + 11
Collect the terms in 74359*x**3 - 6*x - 148718*x**3 + 74357*x**3 + 3*x + 3*x.
-2*x**3
Collect the terms in 2332*j - 5*j**3 - 6918*j + 2256*j + 2331*j.
-5*j**3 + j
Collect the terms in 407*p - 1015*p - 4*p**3 + 501*p + 107*p.
-4*p**3
Collect the terms in 2 - 1475559*p**2 - 94*p**3 + 1475559*p**2.
-94*p**3 + 2
Collect the terms in -11427445255*m**3 + 11427445253*m**3 + 0*m**2 + 0*m**2.
-2*m**3
Collect the terms in 7304*d**3 - 2853*d**3 - 102*d - 4466*d**3 + 102*d.
-15*d**3
Collect the terms in -1680 - 13*g**2 - 17*g + 4*g - 568.
-13*g**2 - 13*g - 2248
Collect the terms in 764*m + 635*m + 256*m - 634 + 32*m.
1687*m - 634
Collect the terms in -1178*w + 3559*w - 1190*w - 1187*w - 18.
4*w - 18
Collect the terms in -17568*y**2 + 7008*y**2 + 28581*y**2 + 67241*y**2.
85262*y**2
Collect the terms in 32*r + 44*r + 398*r**2 + 1248*r**2.
1646*r**2 + 76*r
Collect the terms in 820*f**3 - 2437*f**3 + 1681 + 814*f**3 + 804*f**3.
f**3 + 1681
Collect the terms in -1914*y + 1166*y + 2626*y - 1881*y.
-3*y
Collect the terms in 65578 - 139*d**2 - 1304*d + 1304*d + 142*d**2.
3*d**2 + 65578
Collect the terms in 1894*h**2 - 3195*h**2 - 7140*h**2 + 1440*h**2 - 5273*h**2.
-12274*h**2
Collect the terms in 1005497*t + 917155*t + 476658*t - 247948*t.
2151362*t
Collect the terms in -5675677*f**2 + 2837843*f**2 + 2837844*f**2.
10*f**2
Collect the terms in 22356150*l**2 + 743*l**3 - 22356150*l**2.
743*l**3
Collect the terms in 70 - 227 + 78 + 13602*l**3 + 79.
13602*l**3
Collect the terms in -785 + 378*j - 4*j**2 - 188*j - 184*j.
-4*j**2 + 6*j - 785
Collect the terms in 93806 + 93811 + 2*x - 187617 - 984*x**2.
-984*x**2 + 2*x
Collect the terms in 30037 + 2*a**3 + 30160 - 60197.
2*a**3
Collect the terms in -36016*b + 72385*b - 36294*b.
75*b
Collect the terms in -206*j - 203*j + 10*j**3 + 20*j**3 + 416*j.
30*j**3 + 7*j
Collect the terms in -44 + 161*x - 2*x**3 - 49*x - 51*x - 56*x.
-2*x**3 + 5*x - 44
Collect the terms in -144*a**3 + 29*a**3 - 753*a**3
|
{
"pile_set_name": "DM Mathematics"
}
|
/(sqrt(45)/(sqrt(18)/sqrt(2)))).
4*sqrt(3)
Simplify ((1*sqrt(495)*-4 - sqrt(495))/(sqrt(81)*-4))/((sqrt(3520) + (sqrt(3520) - 2*sqrt(3520)) + sqrt(3520))/(sqrt(140)/sqrt(7))).
5*sqrt(5)/48
Simplify (2 + (sqrt(11)*-2 + -1)*2 + 1 - (2*sqrt(704) + 0 + (sqrt(198)/(sqrt(9) + sqrt(27)/sqrt(3)))/sqrt(2)))**2.
-41*sqrt(11) + 18495/4
Simplify -1 + -4*(-4*(0 + sqrt(405) + 4) + -5).
83 + 144*sqrt(5)
Simplify (3*(sqrt(80) + (sqrt(80) - (2*2*sqrt(80))**2) + sqrt(80)) - (sqrt(20)/(((sqrt(44) - sqrt(44)*4) + sqrt(44))/sqrt(11)))**2*-2)*3.
-23025/2 + 108*sqrt(5)
Simplify -5*(((4*sqrt(704)*-2 - sqrt(704) - sqrt(704)) + 4*(2 + sqrt(704)))*-3 + -3 + -5)**2.
-1145600 + 46080*sqrt(11)
Simplify -4*(sqrt(22)*-3*-3*5)/(sqrt(176)/sqrt(4) - sqrt(704)).
30*sqrt(2)
Simplify ((1*4*(-5 + 0 + sqrt(252) + sqrt(252) - 4*(sqrt(252) + (sqrt(252) - -1*sqrt(252)))) + -1)*-3 + -5)**2.
83520*sqrt(7) + 3632164
Simplify -2*(0 + sqrt(833))*5 - (4*-1*(sqrt(833) + -5))**2.
-13728 + 1050*sqrt(17)
Simplify ((sqrt(21) + sqrt(105)/sqrt(5)*5)/(sqrt(77)/(1*sqrt(11))))**2 + (sqrt(18) + -1*sqrt(1458))/(sqrt(30)/sqrt(5)*-4).
2*sqrt(3) + 108
Simplify -6*sqrt(304)*4 - (sqrt(304) + (sqrt(304) - (-2 + -2*sqrt(304)) - sqrt(304))) - (4*sqrt(304)*-1*6 + 3).
-12*sqrt(19) - 5
Simplify ((6*(2*sqrt(144) - sqrt(144)))/(sqrt(27)/sqrt(3)*2))/(4*sqrt(968) - sqrt(968) - (4*sqrt(88))/sqrt(11)).
3*sqrt(2)/29
Simplify ((sqrt(300) - (sqrt(300) - (sqrt(300) + 2*sqrt(300))))*-3)/(sqrt(6) + 2*sqrt(96) - 1*sqrt(6)*1).
-45*sqrt(2)/8
Simplify -2*(-1 + -2*sqrt(176)*-1 - (1 + -1*sqrt(176)*-1))**2 + -3.
-363 + 32*sqrt(11)
Simplify (-3*(6*(sqrt(560) + sqrt(35)) - (sqrt(280)*1 + sqrt(280))/sqrt(8)))/(3*(sqrt(1008)*2 + sqrt(7) + sqrt(7) + -6*sqrt(35)/sqrt(5))).
-7*sqrt(5)/5
Simplify ((sqrt(64) + sqrt(4))*3)/(sqrt(4)/sqrt(2)*-6) + (sqrt(350) - (1*sqrt(350) - sqrt(350))*2)/sqrt(7).
5*sqrt(2)/2
Simplify -2*(6*(4 + 0 + sqrt(1053)) + 4 + (2*(sqrt(1053) + -2))**2).
-8512 + 180*sqrt(13)
Simplify (-5 + ((1*sqrt(252))**2 + 2 - ((1 + sqrt(252))**2 + sqrt(252) + -5) - (sqrt(252) - ((sqrt(252) + 1)*4)**2 - 4*1*sqrt(252)))*4)*1.
768*sqrt(7) + 16211
Simplify ((-5*-4*1*sqrt(320) - (-2 + -1 + sqrt(320) + 2)) + 2)**2.
912*sqrt(5) + 115529
Simplify (-3 + -5*(sqrt(637) + 1) + -2*(sqrt(637) - (sqrt(637) + 0)) + (sqrt(637) - -1*sqrt(637)*1 - sqrt(637)) + 3 + 3)**2.
112*sqrt(13) + 10196
Simplify (-2*5*((sqrt(1900) - (-4 + sqrt(1900) + 0 + sqrt(1900) - sqrt(1900)))*-6 + 1 + (sqrt(1900) - ((-1 + sqrt(1900))*6 + sqrt(1900))))*-1)**2.
204000*sqrt(19) + 6868900
Simplify ((sqrt(77)/sqrt(396) - sqrt(49)/(-4*sqrt(7)))**2 + -2*(sqrt(63) + sqrt(63) + 3*sqrt(7623))/sqrt(9))*-3.
-175/48 + 210*sqrt(7)
Simplify 1*(-4 + -5 + (sqrt(70)/(sqrt(110)/(-2*sqrt(11))) + (sqrt(77)/(sqrt(11) - -3*sqrt(44)/sqrt(4)))**2)*-3).
-165/16 + 6*sqrt(7)
Simplify sqrt(19)*1 + 0 + (sqrt(931) + sqrt(931)*-2 + sqrt(931))**2 + 2 + 1*(-2*sqrt(1900)*2 + 5)**2.
-399*sqrt(19) + 30427
Simplify -4*-4*(sqrt(180) - 2*(sqrt(180) + 4)**2 - (4*sqrt(45)*1)/sqrt(9)).
-6272 - 1504*sqrt(5)
Simplify (-1*2*(sqrt(1331)*-1 + 3)*-4*3*-3)**2.
-342144*sqrt(11) + 6946560
Simplify ((-4*sqrt(117)*-5 - sqrt(117))*-2)/((-3*sqrt(1089) + sqrt(1089) + sqrt(1089))*-3).
-38*sqrt(13)/33
Simplify (((3*sqrt(128) + -5 + ((sqrt(128) + -3 + sqrt(128))*2 - sqrt(128)))*-5)**2 + -2 + -1)*-1.
-118222 + 26400*sqrt(2)
Simplify (-6*(-4 + 1*(sqrt(1053) + sqrt(1053)*1) - (3 + sqrt(1053)*1 - sqrt(1053) - (sqrt(1053) + -1 + 0)))*-6)**2.
-559872*sqrt(13) + 12365136
Simplify (sqrt(78) + sqrt(78)*-3*6)/(sqrt(30)/sqrt(5)*-6) + (5*sqrt(208)*-1 + sqrt(208) - (sqrt(208) + -1 + sqrt(208) + -5 + sqrt(208) + sqrt(208)))**2 + 4.
-2287*sqrt(13)/6 + 13352
Simplify -5 + (2*3*sqrt(204) - (sqrt(204) + (sqrt(204) - sqrt(204)*-2))*-1)/((sqrt(432) + (sqrt(192) + sqrt(192)*-2 - sqrt(12)))*-6).
-5*sqrt(17)/3 - 5
Simplify -3 + -5*((4 + sqrt(612) + 1)**2 + sqrt(612) + 1 + 2 + 0).
-3203 - 330*sqrt(17)
Simplify -4 + 4 + (sqrt(44)*-5 - (-1*sqrt(11) + -5)**2) + (1 + 1*(-1 + sqrt(11)))*6.
-14*sqrt(11) - 36
Simplify (-6*-5*-4*-2*sqrt(1573)*-1*3*-4 + 0)**2.
13047091200
Simplify (-5 + (sqrt(432)*2 + 2 - sqrt(432)) + -1 + (sqrt(432) - (sqrt(432) + 0)) + 1 + (sqrt(432) + 0 - sqrt(432))*-5 + 2)**2.
-24*sqrt(3) + 433
Simplify (-1 + (sqrt(9072)*-1 + 4)**2 + (6*sqrt(9072)*2 + sqrt(9072) + sqrt(9072) + sqrt(9072) + -4*(-1 + sqrt(9072) - sqrt(9072)))**2)*-5.
-10251515 - 20160*sqrt(7)
Simplify (-3 + sqrt(637))**2 + sqrt(39)/(sqrt(9)/sqrt(3)) - ((sqrt(13) + sqrt(13)*-1*4)**2 - ((2*sqrt(117))/sqrt(9))**2).
-41*sqrt(13) + 581
Simplify 1*(-4 + 3 + (1*(sqrt(2299) + -1*sqrt(2299)) + (-3 + (1 + sqrt(2299) - sqrt(2299)) - sqrt(2299)))**2 + -3).
44*sqrt(19) + 2299
Simplify 3 + (1 + -5 + sqrt(500) + -1 + (sqrt(45) + 1 - 4*sqrt(500)))**2.
216*sqrt(5) + 3664
Simplify 5*(-4*-1*sqrt(78) - sqrt(78) - (sqrt(78) - ((sqrt(78) - (sqrt(78) + 2*sqrt(78)))*-4 + sqrt(78) - sqrt(78))))/((1*sqrt(24)*-2)/(sqrt(40)/sqrt(90))).
-25*sqrt(13)/3
Simplify (sqrt(209)*-2*-4*4*4)/(sqrt(1100)*-2 + sqrt(11) - (sqrt(11) - (sqrt(44)/sqrt(4)*-3 - sqrt(11)))).
-16*sqrt(19)/3
Simplify (sqrt(1694)*-5)/(sqrt(14)/sqrt(7)*1) + 0 + 2.
-55*sqrt(7) + 2
Simplify -1 + (sqrt(180) - (sqrt(180) - 2*-3*sqrt(180)))/(sqrt(4) - (sqrt(324) - sqrt(324)*-1))*3.
-1 + 54*sqrt(5)/17
Simplify (((sqrt(3240) - sqrt(3240)*-1) + (sqrt(200)/sqrt(5) + sqrt(40))*-5)/(sqrt(128) + sqrt(128)*-2 + -4*(sqrt(8) - sqrt(200))))**2.
20/9
Simplify (2*((-6*sqrt(132)*-1)/sqrt(11))/(sqrt(384)*-1*-1) + 5)**2.
15*sqrt(2) + 59/2
Simplify (sqrt(441)*1 + sqrt(9))/(sqrt(243)*-2) + 1*(sqrt(120)/(1*sqrt(10)))/(sqrt(32)/(sqrt(128) - sqrt(8)) + sqrt(4)).
11*sqrt(3)/36
Simplify -5*(sqrt(104) - (sqrt(104) + 5*2*sqrt(104)))/(sqrt(512) - sqrt(8)) - (sqrt(130) - (-3*4*sqrt(130) - sqrt(130)))/((sqrt(400)/sqrt(8))/sqrt(5)).
-48*sqrt(13)/7
Simplify 6*-6*(-1 + sqrt(76))*-3 - (-3*-2*sqrt(171))/(-5*sqrt(36)/sqrt(4) - sqrt(9))*-1.
-108 + 215*sqrt(19)
Simplify (((sqrt(119) + (sqrt(119) - -6*sqrt(119)*-4))/(sqrt(1008)/sqrt(9)) + 5)*-2)**2.
-220*sqrt(17) + 2157
Simplify (1 + (4*(sqrt(300) + sqrt(300) + sqrt(300)*-2 + sqrt(300)) + sqrt(300) - -4*-2*sqrt(300)) + 1 + (sqrt(300) - (sqrt(300)*-2 - sqrt(300))*5) + -1)**2.
260*sqrt(3) + 50701
Simplify 3*-6*-2*sqrt(980) + -5 + (-1*sqrt(135) + sqrt(135))/sqrt(3) + -5.
-10 + 504*sqrt(5)
Simplify (-1 + -3*sqrt(2448)*2)**2*-2 + (-3*(sqrt(2448)*-1 + sqrt(2448) - sqrt(2448) - sqrt(2448)))**2 + 4*(0 + sqrt(2448)) + 2.
-88128 - 240*sqrt(17)
Simplify -6*(4 + -3*-2*sqrt(448) + (1*(1 + sqrt(448)) + (sqrt(448) - (sqrt(448) + 0 + 2) - sqrt(448)) + sqrt(448))**2 + 3).
-2736 - 192*sqrt(7)
Simplify (-1*(3 + (2*sqrt(833) - sqrt(833))) + 0 - 1*(sqrt(833) + 0 + 4)*2)**2.
462*sqrt(17) + 7618
Simplify (-5*-2*((sqrt(700) - (sqrt(700) + 0))*-1 - sqrt(700) - sqrt(700)))**2 - ((1 + -3*sqrt(7) - (sqrt(112) + 2*sqrt(112))) + 0)**2.
30*sqrt(7) + 278424
Simplify 1 + -2 + ((sqrt(1008)*-2 - sqrt(1008))*6)/((6*sqrt(128) + sqrt(32))/sqrt(8)).
-108*sqrt(7)/13 - 1
Simplify -3 + ((sqrt(171) - -6*sqrt(171)*3)*4)/((sqrt(9) - sqrt(9)*2*-3)*3).
-3 + 76*sqrt(19)/21
Simplify -5*(((3*sqrt(16))/sqrt(8)*-3)**2*-2 - 3*(-5 + (sqrt(2) - -4*sqrt(98)))).
435*sqrt(2) + 1545
Simplify (-2*((sqrt(1331) - (-2 + sqrt(1331)*2 - sqrt(1331)))*-2 + -1 + sqrt(110)/(sqrt(10)*2) + -4))**2.
-36*sqrt(11) + 335
Simplify -5 + (sqrt(52) - (sqrt(520) + 1*sqrt(520) + sqrt(520) + sqrt(520) - sqrt(520))/sqrt(10))/sqrt(4) - (((-3 + sqrt(13)*-1)**2 - sqrt(104)/sqrt(2)) + -2).
-25 - 6*sqrt(13)
Simplify -2 + (3*(sqrt(704) + (sqrt(704) - -3*sqrt(704)*1 - sqrt(704))))**2 + -2 + 3*(-3 + sqrt(704)) + sqrt(704) + sqrt(704) + 2 + 1.
40*sqrt(11) + 101366
Simplify (-2 + -3 + -4*(0 + (sqrt(605) - sqrt(605)*3)) + ((sqrt(605) + -1)*6 - (-1 + sqrt(605)*2)))**2.
-2640*sqrt(5) + 87220
Simplify 3 + 2 + (3*sqrt(875))/(sqrt(56)/(sqrt(56)/sqrt(7))).
5 + 15*sqrt(5)
Simplify (-2*sqrt(108))/(1*sqrt(96)) + (2 + sqrt(242) + 2 + sqrt(242) - (4 + (sqrt(242) + 0 - sqrt(242)))).
41*sqrt(2)/2
Simplify -3*((-5*-5*sqrt(960) - sqrt(960))/((sqrt(15) - (sqrt(105)/sqrt(7) - sqrt(15))*3)/sqrt(5)))**2.
-552960
Simplify 3 + -2 + (sqrt(396) + 0 + sqrt(396))**2 + -1 + (-4*-1*sqrt(176))**2*-6 + 4.
-15308
Simplify -1*(((6*sqrt(133)*-3 - sqrt(133) - sqrt(133))/(sqrt(112)*4))**2*5 + 0).
-2375/16
Simplify -4*((2 + sqrt(176) + -4 + -5 - ((sqrt(176)*-2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
-24 = -3*s + y. Let i be v(s). What is i rounded to the nearest ten?
50
Let m = 8.8 - 9.496. What is m rounded to one dp?
-0.7
Let v(x) = -10743*x**2 + 8*x - 9. Let l = -45 + 34. Let g be v(l). Round g to the nearest one million.
-1000000
Let u = -3.11 + -0.69. Let m = u - -3.8000587. Round m to five decimal places.
0.00006
Let f = 2410.00001689 + -2410. Round f to six decimal places.
0.000017
Suppose 7*a - 11*a = -32. Suppose a*i = -512133 + 8352133. What is i rounded to the nearest 100000?
1000000
Let h be -71 + 66 + (-1 + -1620000)*-5. What is h rounded to the nearest 100000?
8100000
Let f be (0/3)/(4 + -2). Suppose -3*r + o + 3*o + 17460016 = 0, f = 3*r - 5*o - 17460020. Suppose 4*g - r = 6*g. Round g to the nearest one hundred thousand.
-2900000
Let w = 0.031 - 0.0310393. Round w to six decimal places.
-0.000039
Let g(f) = -662*f**2 - 3*f + 4. Let b be g(2). Round b to the nearest 100.
-2700
Let s = 0.54 + -0.658. Let d = s + 4.292. Let w = 4.1 - d. Round w to two dps.
-0.07
Let n = 0.59899487 + -0.599. Round n to seven decimal places.
-0.0000051
Let h = 28241237.99911 + -28241105. Let w = h + -133. What is w rounded to 4 decimal places?
-0.0009
Let m = -3.52 - -2.1. Let c = 1.41999952 + m. What is c rounded to 7 dps?
-0.0000005
Let m = 308.68 + -326. Round m to one decimal place.
-17.3
Let o = 33997370.0200238 + -33997373. Let c = 2.02 + 0.96. Let x = o + c. Round x to six dps.
0.000024
Let b = 1.5024 + -1.5. Let g = b - 0.7414. Let p = g - -0.069. What is p rounded to 1 decimal place?
-0.7
Let z = -7432.006141 + 7432. What is z rounded to three dps?
-0.006
Let t be (-8377002)/1806 - 3/(-7). Round t to the nearest one hundred.
-4600
Let q = -233.89998288 + 233.9. What is q rounded to 6 decimal places?
0.000017
Let t = -371 + 370.99999821. Round t to seven decimal places.
-0.0000018
Suppose 5*q + 6 = -l - 12, 4*l - 12 = q. Let b be 4*(-5)/l + 4. Let r be -75*((-218)/b - 3). What is r rounded to the nearest 1000?
-3000
Let b = -773.035 + 772. Round b to 1 decimal place.
-1
Let l be ((-2)/(-4))/1 - (-53699)/2. Suppose -f + 6*f + l = 0. Round f to the nearest 1000.
-5000
Let i = 28.4 + -5.4. Let m = i - 25.2. What is m rounded to the nearest integer?
-2
Let v = -1.44 - -79.44. Let h = v + -78.0066. Round h to 3 decimal places.
-0.007
Suppose -8*u - u - 180000 = 0. Round u to the nearest one hundred thousand.
0
Suppose 3*y - 4111992 = -0*y. Let r = y - -259336. Round r to the nearest one hundred thousand.
1600000
Let l(k) be the third derivative of 1/24*k**4 + 0*k - 1/3*k**3 + 0 + 5875/3*k**5 + 2*k**2. Let v be l(2). What is v rounded to the nearest 100000?
500000
Let r = -2270 + 2270.01007. Round r to three decimal places.
0.01
Let j = 516 + -516.0273. Let i = j - -0.026. Round i to three dps.
-0.001
Let u = -226 + 30. Let j = u - -199.84. Let g = j + 0.06. Round g to the nearest integer.
4
Let t = -113 + 72. Let w = 41.000076 + t. Round w to 5 decimal places.
0.00008
Let b = -1778.8721649 + 1679.87216. Let j = -99 - b. Round j to 6 dps.
0.000005
Let j(y) = 3551*y**2 - 15*y - 4. Let s be j(-7). Round s to the nearest ten thousand.
170000
Let h = 19.5899 + 0.4341. Let w = 3.6 + 16.4. Let l = h - w. What is l rounded to three decimal places?
0.024
Suppose 794528 = -2*c + 4*c. Let h = -282736 - c. What is h rounded to the nearest 100000?
-700000
Let f = -9007.75 + -484.85. Let l = f - -9492.4599904. Let w = -0.14 - l. What is w rounded to six dps?
0.00001
Let l = -376 + 582. Let o = 205.999638 - l. What is o rounded to 5 decimal places?
-0.00036
Let p = -234329.0253354 - -234329. Let a = 0.2253346 + p. Let h = a + -0.2. What is h rounded to six decimal places?
-0.000001
Let h = -8198 + 72597. Let v = 2934835 - h. Suppose -v = -5*z + 179564. Round z to the nearest 100000.
600000
Let i = -1963833.22 + 1963843.21999868. Let d = i + -10. What is d rounded to seven dps?
-0.0000013
Suppose 5*h = 231 + 84. Let w be 8/(-14)*h/(-18). Let y be 11000002/2 - w/2. Round y to the nearest 1000000.
6000000
Let u be 9600018/4 - (-4)/(-8). Suppose -q + 2 = -1. Suppose -u = -5*i - a - a, -q*i - 2*a + 1440004 = 0. Round i to the nearest one hundred thousand.
500000
Let t = 1.781 + -3.178. What is t rounded to 1 decimal place?
-1.4
Let t = 68 + -68.00000524. Round t to 7 dps.
-0.0000052
Let m be 4550/(-21)*-375*(-312)/5. What is m rounded to the nearest 100000?
-5100000
Let i = -505.0871 + 505. Let c = 8.6771 + i. What is c rounded to 0 dps?
9
Suppose 4 = -4*t, -2*h - t + 39 = -6*t. Let c = 23 - h. Suppose 0*f - 90000 = c*f. Round f to the nearest 10000.
-20000
Suppose 0*f - 41 = 4*a + 5*f, -2*a + 4*f - 14 = 0. Let w be 13*((-177)/a + (-3)/(-9)). What is w rounded to the nearest ten?
260
Let j = -919181 + 919188.000002. Let v = -0.09 - 6.91. Let x = v + j. What is x rounded to six decimal places?
0.000002
Let i = -94.65 - 1.35. Let w = -96.0063 - i. Round w to 3 dps.
-0.006
Let f be (-4 + 29)/(3/7560). Suppose 0 = -4*s + 3*s - f. Round s to the nearest 10000.
-60000
Let x = -302 - -300.7. Let l = 0.13574 + 1.1642576. Let v = l + x. Round v to six decimal places.
-0.000002
Let w = 24.553 + -0.053. What is w rounded to the nearest ten?
20
Let j(b) be the first derivative of 2*b**3/3 + 2*b**2 + 9*b - 11. Let l be j(-3). Let m be (l + 7985)*(-2825)/2. Round m to the nearest one million.
-11000000
Let d = -0.50402544 - -0.504. What is d rounded to five decimal places?
-0.00003
Let s = 61.59 + -61.56343. Round s to 3 decimal places.
0.027
Let n be 1498560/(-720)*(0 - 75). What is n rounded to the nearest 100000?
200000
Let n = -9.066 - -0.056. Let b = 0.01 + n. Let s = b - -8.93. What is s rounded to one dp?
-0.1
Let z = -12907538318 - -12907552592.7616124. Let f = z + -14225.7616. Let l = 49 - f. What is l rounded to six decimal places?
-0.000012
Let m = 2.8385 - 2.8. Let f = m - 0.036. Round f to 3 decimal places.
0.003
Let p = -35.5 + 35.49999756. What is p rounded to seven decimal places?
-0.0000024
Suppose 0 = 12*o - 7*o - 20. Suppose 8*r = 3*r + k - 3300000, 0 = -3*r + o*k - 1980000. What is r rounded to the nearest 100000?
-700000
Let s = -41.91 + 40.3. Let t = s - -4.3. Let i = -2.690361 + t. Round i to five dps.
-0.00036
Let p(u) = 1249802*u - 12. Let t be p(3). Suppose 1621522 = -2*j - 2997266. Let v = t + j. Round v to the nearest 100000.
1400000
Suppose -76864 = -2*p + 37610. Let h = p + -89237. What is h rounded to the nearest ten thousand?
-30000
Suppose 0*o + 4*o - 20 = 0. Suppose -g + t = 2, g + 7 = o*g - t. Let c be (-3)/(-1) - -2460000 - g. Round c to the nearest 100000.
2500000
Suppose -14*z - 32540697 = 8759303. What is z rounded to the nearest 1000000?
-3000000
Let y = 9 + -7.6. Let m = y - -0.2. Let a = m - 1.552. What is a rounded to 2 decimal places?
0.05
Let g(f) = 3*f**2 - 62*f - 37. Let w be g(16). Round w to the nearest one hundred.
-300
Let v = -4612 + 4631.935. Round v to 0 dps.
20
Let d(y) = y**3 + 14*y**2 + 25. Let g be d(-14). Let h be ((-30)/g)/((-4)/(-6000000)). What is h rounded to the nearest 100000?
-1800000
Let r = -350554084533946.74999955 - -350554076880585. Let q = r + 7653362. Let l = q - 0.25. Round l to seven dps.
0.0000005
Suppose 455915 = -60*a + 67295. Round a to the nearest 100.
-6500
Suppose 5*r - 66228 = 9533772. What is r rounded to the nearest one hundred thousand?
1900000
Let p = -130 - -69. Let g = p + 61.0063. Round g to three dps.
0.006
Let z be (3 - -52 - 0) + 1 + -3. Suppose z = n + s - 587, -n + 648 = 3*s. What is n rounded to the nearest ten?
640
Let x = 13949245757 + -20873127878. Let l = 6923882164.00000049 + x. Let g = -43 + l. Round g to 7 decimal places.
0.0000005
Let v(d) be the third derivative of 15*d**6/8 + d**5/15 - d**4/4 + 5*d**3/6 - 3*d**2. Let b be v(5). What is b rounded to the nearest 1000?
28000
Let d = 89 + -141. Let h = 24 + d. Let t = -28.063 - h. What is t rounded to two decimal places?
-0.06
Let y = 249 + -250.028. What is y rounded to one dp?
-1
Suppose -39*b + 3*b = -39744000. What is b rounded to the nearest ten thousand?
1100000
Let i = -255354 - -255331.0158. Let w = 23 + i. Round w to three decimal places.
0.016
Let s = -2014.01307 - -2014. Round s to three dps.
-0.013
Let o = -0.28599514 + 0.286. Round o to six decimal places.
0.000005
Let y(g) = -14*g - 60. Let x be y(-4). Le
|
{
"pile_set_name": "DM Mathematics"
}
|
3 - 2
Let h(k) = -k**2 - 4*k - 4. Let l = 1199 + -1201. Let p(y) = 4*y**2 + 13*y + 12. Give l*p(n) - 7*h(n).
-n**2 + 2*n + 4
Let a(k) = -2*k**2 - 86*k - 50. Let p(y) = y**2 + y + 12. Determine -a(l) - 4*p(l).
-2*l**2 + 82*l + 2
Let i(k) = -14*k**2 + 26*k - 20. Suppose -19*h - 6512 = 138. Let r = -344 - h. Let d(o) = -5*o**2 + 9*o - 7. What is r*i(y) - 17*d(y)?
y**2 + 3*y - 1
Let l(u) = 1. Suppose 90 = -25*j - 35. Let t(b) = -b**3 + 9*b**2 + 5*b - 5. Let h(x) = j*l(x) - t(x). Let m(p) = p**3 - 4*p**2 - 2*p. What is -2*h(k) + 5*m(k)?
3*k**3 - 2*k**2
Let j(z) = 43*z**2 + 4*z - 129. Let i(r) = -21*r**2 - 2*r + 71. Calculate 9*i(d) + 5*j(d).
26*d**2 + 2*d - 6
Suppose -2*j = 5*l + 9 - 33, l - 2*j = 0. Suppose 3*m + l*f = 14 - 8, -3*m + 4*f = -30. Let a(v) = 15*v + 1. Let d(c) = 8*c. Determine m*a(y) - 11*d(y).
2*y + 6
Let a(h) = 2*h**2 + 2*h + 2. Let r(x) = -165*x**2 + 14*x + 25. Determine 7*a(b) - r(b).
179*b**2 - 11
Suppose 6 = g, 4*g - 32 = -4*r - 36. Let k(u) = u**2 - 4*u - 7. Let y(t) = -t**2 + 5*t + 8. What is r*k(m) - 6*y(m)?
-m**2 - 2*m + 1
Let s(b) = 169*b**2 - 32*b + 26. Let z(q) = -101*q**2 + 19*q - 15. Give 7*s(v) + 12*z(v).
-29*v**2 + 4*v + 2
Let u(g) = 2*g**2 - 106*g - 23. Let c(s) = 2*s**2 - 119*s - 22. Give -5*c(f) + 6*u(f).
2*f**2 - 41*f - 28
Let d(t) = -t**3 - t + 2. Let i(u) = -1633*u**3 - 213*u + 426. Calculate -213*d(n) + i(n).
-1420*n**3
Let a(t) = -9*t**3 + 7*t**2 + 15*t + 4. Let c(v) = -7*v**3 + 9*v**2 + 14*v + 3. Calculate 3*a(o) - 4*c(o).
o**3 - 15*o**2 - 11*o
Let v(g) = 2*g**2 + g - 2. Let b(a) = -74*a**2 - 9*a + 51. Give -b(f) - 8*v(f).
58*f**2 + f - 35
Let j(r) = -7785*r**3 + 2422*r**2 - 1211*r. Let y(q) = -2*q**2 + q. Determine -2*j(s) - 2422*y(s).
15570*s**3
Let k(r) = -r**3 - r**2 + 5*r - 1. Let z(c) = 24*c**2 - 9*c + 4. Let m(w) = 19*w**2 - 7*w + 3. Let d(q) = -5*m(q) + 4*z(q). Give d(p) + k(p).
-p**3 + 4*p
Let t(b) = -7*b - 6. Let x(p) = p + 1. Let o = -77 - -81. Let n(a) = -2*a**3 + 6*a**2 + 8*a + 5. Let r be n(o). What is r*x(g) + t(g)?
-2*g - 1
Let y = -2228 + 2226. Let h(v) = -6*v**2 + 2. Let d(k) be the second derivative of -7*k**4/12 + k**2/2 - 4*k. Determine y*h(i) + 3*d(i).
-9*i**2 - 1
Let c(h) = 5 - 4*h - 47*h**2 + h**3 + 22*h**2 + 25*h**2. Suppose 4*s + 78 = 6*s. Let k = -32 + s. Let y(p) = 2*p**3 - 7*p + 9. What is k*c(d) - 4*y(d)?
-d**3 - 1
Let v(l) = 160*l**3 - 28*l**2 + 28. Let k(w) = 99*w**2 - 14*w**3 - 94*w**2 - 15*w**3 - 5. What is -28*k(p) - 5*v(p)?
12*p**3
Let o(x) = -4*x**3 - 2*x**2. Let b be (6/(-12))/((-3)/(-78)) + 15. Let h(c) = -3*c**3 - c**3 + 0*c**3 - 3*c**2. Determine b*h(q) - 3*o(q).
4*q**3
Let r(k) = 854*k + 6836. Let u be r(-8). Let a(l) = 3*l**3 - 7*l**2 + 31*l - 7. Let z(y) = 2*y**3 - 4*y**2 + 16*y - 4. Calculate u*a(n) - 7*z(n).
-2*n**3 + 12*n
Let g(l) = 452*l - 152*l + 40*l**2 - 152*l - 152*l. Let r(y) = 40*y**2 - 5*y. Calculate 5*g(a) - 4*r(a).
40*a**2
Suppose 29*q - 1824 = 10*q. Suppose -98 = j - q. Let l(h) = -6*h. Let b(m) = -m**2 - 13*m - 1. What is j*b(n) + 5*l(n)?
2*n**2 - 4*n + 2
Let o(d) = -1. Let m = -2202 + 2200. Let q(y) = 9*y - 2. Give m*o(z) + q(z).
9*z
Let y be 2/25 - (31556/(-350))/23. Let o(k) = 2*k**3 - 4*k**2 - 4*k - 11. Let n(g) = -4*g**3 + 7*g**2 + 7*g + 21. Calculate y*n(l) + 7*o(l).
-2*l**3 + 7
Let u(w) = -8*w**2 - 1016*w + 15. Let l(b) = -2*b**2 - 338*b + 4. What is 7*l(r) - 2*u(r)?
2*r**2 - 334*r - 2
Let j(h) = -h + 3. Let x(p) = 6*p - 2411. What is -4*j(c) - x(c)?
-2*c + 2399
Let j(a) = -a**2 - 9*a + 28. Let k = 10855 + -10857. Let m(i) = 2*i - 7. What is k*j(g) - 9*m(g)?
2*g**2 + 7
Let t(b) = -870*b - 22. Let s(c) = 1743*c + 40. Calculate -6*s(i) - 11*t(i).
-888*i + 2
Let b(m) = 24*m**3 + 11*m**2 + 10*m + 1. Let l = 268 - 270. Let h(v) be the first derivative of -5*v**4/4 - 2*v**3/3 - v**2 - 48. Determine l*b(f) - 11*h(f).
7*f**3 + 2*f - 2
Let g = -115 + 90. Let r be (-5)/(-2)*70/g. Let i(k) = -19*k. Let z(j) = -28*j. Calculate r*i(s) + 5*z(s).
-7*s
Let x(v) = 3*v + 10. Let g(u) = 2*u**2 - 11*u - 43. Let b(w) = 2*g(w) + 9*x(w). Let t(j) = -8*j**2 - 10*j - 7. Determine -11*b(y) - 6*t(y).
4*y**2 + 5*y - 2
Let x(n) = -4342*n**2 + 338*n + 169. Let u(j) = 155*j**2 - 12*j - 6. What is -169*u(t) - 6*x(t)?
-143*t**2
Let x(c) = 3*c**2 + 4*c - 8. Let a(q) = 5*q**2 + 9*q - 4. What is 2*a(d) - 5*x(d)?
-5*d**2 - 2*d + 32
Suppose 67*h = 71*h + 16. Let f(s) = s**2 - 2*s - 2. Let v(k) be the second derivative of -1/2*k**3 + 0 + 1/12*k**4 + 8*k - 3/2*k**2. Determine h*v(j) + 6*f(j).
2*j**2
Let y(r) = r**3 - 2*r + 13. Let j(p) = 2*p**3 - 6*p**2 - 21*p - 7. Let s be j(-2). Let x(o) = 2*o**3 + o**2 - 5*o + 27. Give s*y(d) + 2*x(d).
-d**3 + 2*d**2 - 11
Let f(n) = 0*n - 2 - 17*n - 1 + 16*n - 13*n - 6*n**2. Let y = -275 - -269. Let x(i) = -2*i**2 - 5*i - 1. Calculate y*f(l) + 17*x(l).
2*l**2 - l + 1
Let j(f) = 9*f**3 + f**2 + f + 10. Let l(o) = -10*o**3 - o**2 - o - 12. What is 6*j(r) + 5*l(r)?
4*r**3 + r**2 + r
Suppose -34 - 14 = -6*g. Let f(y) = 5*y - 14. Let h(w) = 6*w + 5. Let o(d) = 8*d + 8. Let x(s) = 7*h(s) - 5*o(s). Give g*x(u) - 3*f(u).
u + 2
Let f(p) = -3*p**2 + 2*p. Suppose 3*y - 4*d + 198 = 148, 0 = 4*y + 3*d + 150. Let g(u) = -u - 21*u**2 + 6*u + 10*u. Calculate y*f(j) + 4*g(j).
6*j**2
Let t(n) = -125*n**2 - 21*n + 3. Let m(b) = 53*b**2 + 11*b - 2. Calculate 7*m(q) + 3*t(q).
-4*q**2 + 14*q - 5
Let i(q) = -8*q + 28. Let s = -4 + 2. Let p be (56/1)/s*1. Let d(u) be the third derivative of -u**4/24 + u**3/2 - 6*u**2 + 5*u + 11. Determine p*d(o) + 3*i(o).
4*o
Let c(t) = -2*t**3 + 4*t**2 - 4*t - 6. Let u(w) = -83 - 3*w**2 + 0*w**3 + 2*w**3 + 3*w - 92 + 180. Determine -3*c(r) - 4*u(r).
-2*r**3 - 2
Let j(i) = -2*i**2. Let f(z) = -z**2. Let a = 941 + -933. Determine a*f(c) - 3*j(c).
-2*c**2
Let i(v) = 5*v**3 - 1077*v**2 + 3. Let p(b) = -28*b**3 + 6461*b**2 - 17. Determine 17*i(r) + 3*p(r).
r**3 + 1074*r**2
Let q(m) = -2*m**2 + m - 7. Let s(h) = -11*h**2 + 13*h - 52. Let b(l) = 5*l**2 - 6*l + 24. Let w(z) = 13*b(z) + 6*s(z). What is q(a) - 3*w(a)?
a**2 + a - 7
Let x(i) = 35*i**3 - 14*i**2 + 7*i + 201. Let w(t) = -12*t**3 + 4*t**2 - 2*t - 67. Give 7*w(s) + 2*x(s).
-14*s**3 - 67
Let y(g) = -4*g - 961. Let j(h) = -2*h + 18. Calculate 3*j(t) - y(t).
-2*t + 1015
Let m be ((-36)/60)/(126/(-210)). Let i(n) = 55*n**3 + 4*n + 4. Let w(g) = g**3 - g - 1. Calculate m*i(k) + 4*w(k).
59*k**3
Let y(g) = -7*g**3 + 11*g**2 + 2*g + 83. Let p(k) = 9*k**3 - 14*k**2 - 3*k - 84. What is 5*p(s) + 6*y(s)?
3*s**3 - 4*s**2 - 3*s + 78
Let o(a) = -7*a**3 + 8*a**2 - 2*a + 18. Let f be o(5). Let s = 669 + f. Let q(y) = 3*y**3 + y**2 - 2*y - 5. Let r(n) = n**3 - n - 2. Give s*q(v) - 5*r(v).
v**3 + 2*v**2 + v
Let z(n) = -n**2 + 6*n. Let x(c) = 66*c**2 + 90*c - 3. Determine x(m) - 15*z(m).
81*m**2 - 3
Let h(k) = -1237 - 2*k + 656 - 4*k**2 + 3*k**3 + 583. Let o be (-2)/(-2 + 15/6). Let j(q) = -3*q - 3*q**2 - 4*q**2 + 3 - 2*q**3 + 7*q**3. Give o*j(l) + 7*h(l).
l**3 - 2*l + 2
Let h(k) = 0 + 0 - k. Let t(g) = g**2 - 1. Let m = 4659 + -4657. What is m*t(u) + h(u)?
2*u**2 - u - 2
Let f(v) = -18*v**3 + 20*v**2 + 6*v - 10. Let t(d) = 18*d**3 - 16*d**2 - 6*d + 8. Calculate -4*f(h) - 5*t(h).
-18*h**3 + 6*h
Let l(d) = -5*d**3 + 131*d**2 + 21*d. Let f(y) = 9*y**3 - 261*y**2 - 33*y. What is -3*f(v) - 5*l(v)?
-2*v**3 + 128*v**2 - 6*v
Let t(b) = -960*b**3 + 22*b**2 - 24*b + 88. Let x(n) = 481*n**3 - 12*n**2 + 13*n - 48. Give 6*t(v) + 11*x(v).
-469*v**3 - v
Let z(o) be the second derivative of 5*o**3/2 - 12*o**2 + 2*o - 2. Let f(d) = -3*d + 5. Let b be ((-6)/5)/(4/(-10)). Let i = -2 - b. Give i*z(l) - 24*f(l).
-3*l
Let k(y) = -373*y + 1. Let w(p) = 394*p + 1. Calculate 4*k(a) + 5*w(a).
478*a + 9
Let o(c) = -c - 1. Suppose -3*t = -t - 14. Suppose -29 + 8 = t*q. Let b be q*(8/4 + 5/(-3)). Let y(w) = -1. Determine b*o(l) + 3*y(l).
l - 2
Let b = -157 - -823. Let s = b + -672. Let a(l) = -l**3 - l**2 - l. Let w(y) = y**3 + 4*y**2 + 6*y. Calculate s*a(v) - w(v).
5*v**3 + 2*v**2
Let v(k) be the first derivative of 11/3*k**3 - 6*k**4 - 11/2*k**2 + 0*k + 37. Let i(m) = -5*m**3 + 2*m**2 - 2*m. What is 11*i(d) - 2*v(d)?
-7*d**3
Let n(k) = -k - 1. Let a(o) = 9*o**2 + 4*o + 2. Let d = -2585 - -2584. Give d*a(j) - 4*n(j).
-9*j**2 + 2
Let l(r) = 3*r**2 + 6*r + 7. Let d(i) = 2*i**2 + 3*i + 4. Let f = -487 - -511. Suppose f*u = 186 -
|
{
"pile_set_name": "DM Mathematics"
}
|
= -a**2 + 36*a - 350. Give f(19).
-27
Let j(w) = 11*w**2 - 451*w + 440. What is j(40)?
0
Let r(p) = -p**2 - 12*p - 36. Give r(-18).
-144
Let n(i) = i**2 + 211*i - 2441. Determine n(11).
1
Let h(a) = -60*a - 261. What is h(-5)?
39
Let z(m) = 3*m**2 - 41*m - 4. Give z(14).
10
Let f(w) = -7*w + 53. Calculate f(-6).
95
Let d(u) = -9*u**2 + 5*u - 160. What is d(8)?
-696
Let c(p) = -27*p**2 + 1047*p + 237. Determine c(39).
3
Let o(z) = z**2 + 111*z + 2377. Calculate o(-82).
-1
Let o(c) = -11*c**2 + 79*c + 194. Give o(-2).
-8
Let d(m) = 30*m - 421. What is d(8)?
-181
Let x(n) = 255*n - 16958. Calculate x(66).
-128
Let w(v) = v**3 - 6*v**2 - 10. Determine w(4).
-42
Let m(j) = -j**2 - 38*j + 321. Give m(-48).
-159
Let x(w) = 3*w**2 - 84*w + 160. What is x(26)?
4
Let b(x) = 39*x**2 + 121*x + 15. Determine b(-3).
3
Let l(g) = -27*g - 140. Give l(-6).
22
Let n(o) = -o**3 + 24*o**2 - 83*o + 46. What is n(20)?
-14
Let c(z) = -z**3 - 113*z**2 + 118*z + 363. What is c(-114)?
-93
Let z(x) = -39*x**2 - 701*x + 7. What is z(-18)?
-11
Let n(b) = 61*b - 1127. What is n(18)?
-29
Let u(t) = 250*t + 4571. What is u(-18)?
71
Let r(m) = m**2 + 56*m - 126. What is r(-56)?
-126
Let w(a) = a**2 + 10*a - 330. Give w(-21).
-99
Let c(p) = 16*p - 77. Give c(2).
-45
Let h(p) = -3*p**3 - 284*p**2 + 100*p + 480. Calculate h(-95).
5
Let a(x) = -x**2 + 405*x + 2891. Calculate a(-7).
7
Let t(c) = -202*c - 1433. What is t(-7)?
-19
Let r(q) = -q**2 - 49*q - 465. Give r(-41).
-137
Let f(a) = 32*a**2 - 6*a - 1. Give f(-1).
37
Let b(q) = -q**2 + 40*q + 83. Give b(14).
447
Let t(p) = -35*p**2 + 627*p + 58. Determine t(18).
4
Let q(z) = 2*z**3 - 80*z**2 - z + 42. Give q(40).
2
Let s(b) = -176*b - 10603. Give s(-60).
-43
Let l(i) = -2*i + 63. Determine l(17).
29
Let i(a) = -2*a**3 - 101*a**2 - 239*a + 107. Give i(-48).
59
Let g(d) = d**3 - 3*d**2 - 8*d - 11. Determine g(-4).
-91
Let o(p) = -p**3 + 24*p**2 + 58*p - 83. Calculate o(26).
73
Let a(o) = 2731*o + 24546. Determine a(-9).
-33
Let n(t) = -60*t - 280. Determine n(-5).
20
Let d(h) = -3*h**2 + 29*h + 31. Give d(10).
21
Let u(v) = -v**3 + 67*v**2 + 362*v + 8. Give u(-5).
-2
Let p(g) = -277*g - 89472. Calculate p(-323).
-1
Let a(v) = 2*v**3 - 271*v**2 + 672*v - 934. Give a(133).
-3
Let b(u) = -u**2 + 31*u + 816. What is b(-17)?
0
Let z(w) = -w**3 - 215*w**2 - 1855*w - 3. What is z(-9)?
6
Let r(x) = -x**3 + 15*x**2 - 30*x + 11. What is r(14)?
-213
Let u(b) = -b**2 + 2336*b + 7010. What is u(-3)?
-7
Let k(m) = m**3 + 7*m**2 + 2*m - 146. Calculate k(-10).
-466
Let m(o) = o**3 + 60*o**2 + 8*o + 512. Determine m(-60).
32
Let a(l) = -2*l**2 + 35*l - 206. Calculate a(14).
-108
Let a(o) = -13*o**3 - 276*o**2 + 235*o + 342. Give a(-22).
12
Let r(m) = 1670*m + 758175. What is r(-454)?
-5
Let v(t) = -2*t**2 + 279*t - 685. Calculate v(137).
0
Let w(h) = 5*h**2 + 46*h + 4. Calculate w(-12).
172
Let y(n) = n**3 - 7*n**2 - 101*n + 271. Determine y(13).
-28
Let r(i) = 735*i + 5138. Determine r(-7).
-7
Let l(g) = 19*g**2 + 6*g + 15. Give l(-2).
79
Let a(l) = -733*l + 4416. Give a(6).
18
Let v(a) = 11*a**2 + 66*a - 4. Calculate v(-7).
73
Let z(b) = -2*b**2 + 29*b - 109. Calculate z(9).
-10
Let r(z) = -2*z**2 - 131*z + 897. What is r(-72)?
-39
Let w(k) = -4*k**3 + 25*k**2 + 10*k - 16. Calculate w(-1).
3
Let x(c) = -c**3 + 11*c**2 - 2*c - 46. What is x(10)?
34
Let d(h) = -2461*h - 17238. Determine d(-7).
-11
Let j(v) = -2*v**2 - 34*v - 98. Calculate j(-3).
-14
Let y(a) = 5*a**2 + 226*a - 21. Give y(-45).
-66
Let l(t) = -t**3 - 24*t**2 + 2*t + 111. Calculate l(-24).
63
Let o(d) = -4*d**2 - 7*d + 136. Determine o(5).
1
Let y(b) = -6*b**2 + 655*b - 5942. Give y(10).
8
Let m(b) = 3*b**2 + 2*b - 158. Calculate m(7).
3
Let c(m) = 157*m**3 + m**2 + 3*m + 3. Calculate c(-1).
-156
Let n(z) = -18*z + 198. Calculate n(16).
-90
Let y(j) = 100*j - 420. Give y(4).
-20
Let h(x) = 2*x**2 - 39*x + 7. Determine h(21).
70
Let n(b) = b**3 - 15*b**2 - 196*b + 3021. What is n(17)?
267
Let y(p) = 37*p + 2756. Calculate y(-74).
18
Let l(z) = z**2 + 57*z - 252. Calculate l(-66).
342
Let x(o) = o**3 - 10*o**2 - 146*o + 20. What is x(18)?
-16
Let r(g) = -2*g**3 - 126*g**2 - 783*g + 57. Calculate r(-56).
1
Let z(f) = f**2 + 3*f - 94. Calculate z(12).
86
Let d(l) = 2*l**3 + 25*l**2 + 19*l + 31. What is d(-12)?
-53
Let w(b) = 22*b + 655. What is w(-30)?
-5
Let q(k) = k**2 + 9*k - 64. Give q(9).
98
Let d(a) = a**3 + 212*a**2 - 1555*a + 91. What is d(7)?
-63
Let g(l) = -367*l - 12110. Give g(-33).
1
Let x(j) = 6038*j - 54353. Calculate x(9).
-11
Let w(b) = -3*b**3 + 5*b**2 + 20*b - 66. Give w(5).
-216
Let l(n) = 2*n**3 + 12*n**2 - 8*n - 4. What is l(-6)?
44
Let g(h) = h**3 - 31*h**2 - 7*h + 33. Determine g(31).
-184
Let w(m) = m**3 - 12*m**2 + 87*m - 307. Determine w(6).
-1
Let a(u) = -5*u**2 - 9*u - 21. Calculate a(-4).
-65
Let r(l) = -l**3 - 12*l**2 - 34*l - 140. Determine r(-10).
0
Let q(p) = 20*p - 21. Give q(6).
99
Let b(v) = -v**2 + 59*v - 91. Give b(0).
-91
Let m(j) = 57*j + 1151. Calculate m(-20).
11
Let g(y) = -y**2 + 275*y - 18603. Give g(155).
-3
Let z(l) = -5840*l - 157677. What is z(-27)?
3
Let f(u) = -u**3 + 2*u**2 + 13*u - 29. What is f(4)?
-9
Let v(j) = 12*j**3 + 1572*j**2 - 3*j - 441. Calculate v(-131).
-48
Let w(z) = 65*z + 644. Determine w(-10).
-6
Let u(g) = -127*g + 3423. Calculate u(27).
-6
Let s(u) = u**3 - 21*u**2 - 22*u - 46. What is s(22)?
-46
Let i(a) = a**3 - 3*a**2 + 28*a - 102. Give i(4).
26
Let k(v) = 3*v**3 - 7*v**2 + 4*v + 4. What is k(3)?
34
Let z(t) = 53*t - 351. What is z(8)?
73
Let c(d) = -d**2 - 13*d - 60. Calculate c(-10).
-30
Let b(x) = 302*x + 8156. Determine b(-27).
2
Let w(k) = k**3 - 7*k**2 + 83*k - 714. Determine w(8).
14
Let s(y) = -y**2 + 76*y - 1021. What is s(60)?
-61
Let a(h) = 2*h**3 + 109*h**2 + 50*h - 260. Calculate a(-54).
-44
Let m(a) = -a**2 - 80*a - 343. Give m(-76).
-39
Let m(u) = -18*u**2 - 740*u - 88. Determine m(-41).
-6
Let i(o) = -183*o - 10065. Calculate i(-55).
0
Let o(q) = -q**2 - 120*q - 586. What is o(-5)?
-11
Let p(v) = v**2 - 19*v + 24. Calculate p(16).
-24
Let n(p) = -2*p**3 - 61*p**2 + 32*p - 6. Give n(-31).
-37
Let u(i) = 14*i + 764. Give u(-32).
316
Let x(z) = -2*z**3 + 247*z**2 + 1008*z - 56. What is x(-4)?
-8
Let b(t) = -t**2 + 6*t - 3. Determine b(12).
-75
Let r(m) = -m**3 + 26*m**2 - 30*m + 96. Determine r(25).
-29
Let g(f) = 72*f**2 - 7*f - 6. Give g(-1).
73
Let l(a) = -57*a - 582. What is l(-11)?
45
Let t(n) = n**3 - 225*n**2 - 2100*n - 1399. Give t(234).
5
Let i(d) = 4*d**2 + 35*d + 47. Give i(-6).
-19
Let c(k) = k**3 - 45*k**2 + 165*k - 43. What is c(41)?
-2
Let h(u) = 35*u - 128. Determine h(12).
292
Let q(v) = -2*v**2 + 54*v + 831. What is q(38)?
-5
Let q(y) = -6*y**3 + 38*y**2 - 31*y + 53. Calculate q(6).
-61
Let l(v) = -3*v**3 + 8*v**2 + 25*v + 10. Give l(5).
-40
Let c(h) = -30*h - 1121. What is c(-38)?
19
Let v(l) = l**3 + 36*l**2 + 33*l - 12. Calculate v(-35).
58
Let h(v) = -2*v**3 + 11*v**2 - 13*v + 7. What is h(4)?
3
Let m(g) = 2*g**2 + 51*g + 64. Calculate m(-24).
-8
Let w(a) = 7*a**2 + 124*a + 6. What is w(-17)?
-79
Let r(w) = -16*w**2 - 74*w - 75. Calculate r(-2).
9
Let u(r) = r**2 + 239*r + 8066. Determine u(-41).
-52
Let j(r) = r**3 + 103*r**2 + 16*r + 1741. Determine j(-103).
93
Let j(f) = -157*f + 2827. Give j(18).
1
Let d(h) = 2*h**3 - 19*h**2 + 19*h - 18. What is d(9)?
72
Let m(o) = -13*o**2 + 31*o + 40. Calculate m(5).
-130
Let c(i) = -241*i + 1932. Calculate c(8).
4
Let y(w) = -160*w + 5284. Determine y(33).
4
Let j(d) = -3*d - 31. What is j(26)?
-109
Let o(k) = k**3 + 19*k**2 + 5*k. Determine o(-19).
-95
Let a(w) = w**2 - 25*w - 6. Determine a(20).
-106
Let u(o) = -33*o - 407. What is u(-9)?
-110
Let z(v) = -v**2 + 8*v + 34. Determine z(17).
-119
Let q(o) = 4*o**3 + 62*o**2 - 125*o + 3. Determine q(2).
33
Let l(i) = 14571*i + 43709. Give l(-3).
-4
Let q(w) = w**3 - 7*w**2 - 6*w - 107. Determine q(9).
1
Let g(i) = -60*i + 304. Determine g(7).
-116
Let x(z) = -z**2 - 62*z - 378. What is x(-56)?
-42
Let p(f) = -f**2 + 48*f - 511. Determine p(35).
-56
Let c(s) = 2*s - 17. What is c(-72)?
-161
Let v(b) = 317*b**2 + 2849*b - 9. Give v(-9).
27
Let j(v) = -50*v - 4969. Determine j(-101).
81
Let o(d) = d**3 - 35*d**2 + 25*d + 318. Calculate o(34).
12
Let p(q) = -5*q**2 - 15*q - 19. Determin
|
{
"pile_set_name": "DM Mathematics"
}
|
s) = s. Let n(c) = b(c) - 8*m(c). What is the first derivative of n(f) wrt f?
-12
Let y = -49 - -51. Find the third derivative of -4*x**y + 12*x**3 + 20*x**3 - 17*x**3 + 15*x**3 wrt x.
180
Let q(w) be the second derivative of -97*w**6/15 - 359*w**2/2 - 244*w. What is the first derivative of q(p) wrt p?
-776*p**3
Let t(b) = b - 9. Let h be t(12). Let i be 6*(h - 1)/4. Differentiate -i*w**4 - 12*w**2 + 12*w**2 - 2 with respect to w.
-12*w**3
Suppose n - 6*n = -60. Let q(o) = -57*o**3 - 5*o + 27. Let t(x) = 142*x**3 + 12*x - 68. Let f(c) = n*q(c) + 5*t(c). Find the first derivative of f(r) wrt r.
78*r**2
What is the second derivative of -491*f - 94*f**3 + 67*f**3 - 424*f + 160*f - 540*f**3 wrt f?
-3402*f
Let m(o) be the first derivative of -109*o**5/5 - 2*o**3/3 + 15*o**2 + 116. Find the third derivative of m(i) wrt i.
-2616*i
Suppose 0 = s - 4*s. What is the second derivative of 2*v**2 + 5*v**2 + 6*v + s*v wrt v?
14
Let o(h) = 7*h - 2. Let m be o(1). Let g be (-2)/m - 153/(-45). Find the third derivative of -18*u**2 + 26*u**g + 4*u**2 - 17*u**3 wrt u.
54
Find the third derivative of -163*p**2 - 486*p**5 + 34*p**6 + 486*p**5 + 219*p**6 wrt p.
30360*p**3
Let q(w) be the second derivative of -125*w**7/14 + w**4/4 - 11*w**3/3 - 62*w. What is the third derivative of q(s) wrt s?
-22500*s**2
Let s(v) be the third derivative of -7*v**6/12 + 43*v**4/24 + 112*v**2 - 2. What is the second derivative of s(d) wrt d?
-420*d
Let c(n) be the third derivative of -13*n**6/40 - 26*n**3 + 63*n**2. What is the derivative of c(w) wrt w?
-117*w**2
Let m(j) = -2*j + 4. Let f be m(0). Let w be 20/(-70) + f/14. What is the derivative of w - 2 - 5*u**4 - 3 + 8 wrt u?
-20*u**3
What is the third derivative of 5 - 5 - 6*d**2 - 8*d + 5*d**2 + 23*d**5 wrt d?
1380*d**2
Suppose 23*q = 3*q + 100. Let z(h) be the second derivative of 1/2*h**3 - 1/5*h**q - 2*h + 0*h**2 + 0 + 0*h**4. What is the second derivative of z(n) wrt n?
-24*n
Differentiate -2*k**2 - 2*k - 22 - 21 + 0*k**2 with respect to k.
-4*k - 2
Let j(s) be the first derivative of 0*s**2 + 19 - 1/5*s**5 - 11*s + 0*s**3 + 0*s**4. Differentiate j(c) with respect to c.
-4*c**3
Differentiate -9 - 6 + 20*k**2 + 2*k**3 - 16 - 6*k**2 wrt k.
6*k**2 + 28*k
Let v(z) = -79*z**2 - 2*z - 1. Let m(f) = -f**2. Let i(j) = -2*m(j) - v(j). What is the second derivative of i(a) wrt a?
162
What is the second derivative of -2*s**4 - 74*s + 2824*s**2 - 16*s**3 - 2824*s**2 wrt s?
-24*s**2 - 96*s
Let w be 6/10 - (-2)/5. Let v(f) = 13*f + 27*f - 1 - 34*f. Let y(u) = -1. Let r(n) = w*v(n) - 2*y(n). Find the first derivative of r(a) wrt a.
6
Let j be 5 + -3 - (3 + -3). Find the first derivative of -24*f - 12*f**j + 2 + 7*f**2 + 24*f wrt f.
-10*f
Let u(o) be the second derivative of 155*o**3/6 - 137*o**2/2 + 42*o. What is the derivative of u(d) wrt d?
155
What is the third derivative of -18*l**2 + 4*l**2 + 5*l**2 + 3*l**2 + 79*l**3 wrt l?
474
Let v = -434 - -436. Let m be ((-4)/(-6))/(4/18). Find the second derivative of -v*r**3 + 10*r + 7*r**m + 0*r**3 wrt r.
30*r
Let h(k) be the first derivative of 19 - 6*k**2 + 3*k**3 - 30 + 26. What is the second derivative of h(g) wrt g?
18
Let k(p) be the first derivative of p**6/3 - 2*p**2 - 2*p + 26. Find the second derivative of k(t) wrt t.
40*t**3
Suppose -4*q - 174 = -190. Let o(c) be the second derivative of 0*c**3 + 0*c**4 + q*c + 4*c**2 - 1/20*c**5 + 0. Differentiate o(d) wrt d.
-3*d**2
Find the first derivative of 3*l + 28*l + 128 + 105*l + 61*l wrt l.
197
Find the second derivative of -5*g - g**4 - 1 - 12*g**3 - 2*g**3 + 1 - 10*g**3 wrt g.
-12*g**2 - 144*g
What is the derivative of -523 + 251*h**4 + 286*h**4 - 161*h**4 wrt h?
1504*h**3
Let f(o) = 25*o**3 - 39*o. Let j(h) = -464*h + 350*h**3 - h**2 + h**2 - 81*h. Let p(q) = 55*f(q) - 4*j(q). Find the second derivative of p(b) wrt b.
-150*b
Let u(d) be the second derivative of -2*d**2 + 0*d**3 + 0 - 20*d - 23/12*d**4. Differentiate u(n) wrt n.
-46*n
Let a(f) be the second derivative of -f**6/15 - 49*f**4/12 + 37*f**3/2 - 396*f. What is the second derivative of a(l) wrt l?
-24*l**2 - 98
Let o = -14 - -17. Suppose -o*k = -4 - 2. Find the third derivative of r**2 + r**3 + 2*r**3 + 8*r**2 - k*r**2 wrt r.
18
Let h(a) be the second derivative of 139*a**3/3 + 175*a**2 + a - 46. Find the first derivative of h(p) wrt p.
278
Suppose -6 = -2*c - 0*c. Let v(h) = -5*h + 3. Let y be v(0). What is the second derivative of -y*f**3 - 4*f + 0*f**c + f**3 wrt f?
-12*f
Let c(t) be the second derivative of -77*t**4/12 + 12*t**3 + 89*t - 2. Find the second derivative of c(j) wrt j.
-154
Let q be -7 + 8 + (-2)/((-3)/3). Let z(n) be the second derivative of -8*n + 0 - 2*n**2 - 1/6*n**4 + 0*n**q. Find the first derivative of z(h) wrt h.
-4*h
Let y(r) be the first derivative of r**6/6 + 5*r**4/2 + 45*r**2 - 121. Find the second derivative of y(b) wrt b.
20*b**3 + 60*b
Let l(q) = 948*q**4 - 1322*q + 16. Let v(k) = -316*k**4 + 440*k - 6. Let f(a) = 3*l(a) + 8*v(a). What is the second derivative of f(x) wrt x?
3792*x**2
Suppose 9*g = 5*g + 32. Suppose -2*w = -6*w + g. What is the third derivative of -a**2 - 10*a**5 + a**w - 9*a**2 wrt a?
-600*a**2
Suppose 0 = -m - 3*m - 5*t + 95, -t = 5*m - 124. Let x = -21 + m. Differentiate 2 + 3 - 5 + x*o + 3 wrt o.
4
Let d(u) = -u**2 - u + 3. Let t(o) = -185*o**3 - 5*o**2 - 30*o + 21. Let b(h) = -5*d(h) + t(h). Find the second derivative of b(i) wrt i.
-1110*i
Let r(t) = -220*t**3 + 206*t**2 - 6*t. Let s(b) = -441*b**3 + 411*b**2 - 10*b. Let z(y) = -5*r(y) + 3*s(y). What is the third derivative of z(h) wrt h?
-1338
Let u(v) = 2*v**2 + 1. Let o be u(-1). Let l be -1*((-20)/(-4) - 3) + 4. Find the third derivative of -7*p**l - 2*p**2 + 5*p**6 + o*p**2 + 0*p**2 wrt p.
600*p**3
Let t(a) be the first derivative of -26*a**2 - 220*a - 293. What is the derivative of t(y) wrt y?
-52
Let d be 4 - (-9 + 21832/1680). Let v(t) be the third derivative of 0*t**6 + 0 + 5/6*t**3 + 0*t**4 + 0*t - 3*t**2 - d*t**7 + 0*t**5. Differentiate v(h) wrt h.
-4*h**3
Suppose -5*x + 7 = -3. Find the second derivative of 3*n**x - 15*n**2 + 5*n + 0*n wrt n.
-24
Let b(v) = 629*v**3 - 2*v**2 - 5*v - 2. Let j(y) = -315*y**3 + 2*y + 1. Let p(a) = 2*b(a) + 5*j(a). Find the third derivative of p(i) wrt i.
-1902
Let j(h) = 2*h**3 - h**2 + 1. Let l(f) = -158*f**3 + 3*f**2 - 10*f - 10. Let x(p) = 3*j(p) + l(p). Find the second derivative of x(w) wrt w.
-912*w
Let n(j) be the first derivative of -24*j**5 + 281*j - 257. What is the derivative of n(x) wrt x?
-480*x**3
Let r = 35 + -31. What is the second derivative of -2*i**r + i**4 + 14 - 2*i + 9*i**4 + 22*i**4 wrt i?
360*i**2
What is the second derivative of -40 - 12*m - 21*m + 34*m - 59 - 518*m**2 wrt m?
-1036
Let x(j) be the third derivative of 11*j**2 + 0*j + 0*j**3 + 0 - 7/24*j**4 + 0*j**6 - 11/210*j**7 + 0*j**5. What is the second derivative of x(l) wrt l?
-132*l**2
Let u be (-4)/(-12) + (-4)/3. Let q be (4 + u - 4) + 3. What is the second derivative of 4*m + 3*m**q - m**2 + m**2 wrt m?
6
Differentiate 67 + 19 + 126 - 253*p - 226*p wrt p.
-479
Let z(f) = -13*f**3 - 12*f**2 - 2*f. Let w(o) = 4*o + 0*o - 3*o. Let u be (-1)/2*0/7 - -1. Let v(y) = u*z(y) + 2*w(y). Find the third derivative of v(p) wrt p.
-78
Suppose 0 = 4*w - 2*p - 89 - 47, 0 = 5*w - p - 164. Let l = -28 + w. What is the second derivative of 2*b + b + 6*b + 9*b**l wrt b?
108*b**2
Let b = 4 - -1. Let v be (10 - (b + -2)) + -3. What is the first derivative of x**2 - v + 4 + 5 + x**2 wrt x?
4*x
Suppose 16 = -2*u - 5*h, 4*u - 9*u + 3*h = -22. Let w be -1 - 3*(-3 + u). Find the third derivative of -30*q**2 + 25*q**w + 0 + 4*q**3 + 0 wrt q.
24
Let j = 13 - 0. Differentiate 4*a**3 + 5 - 10 + j*a**4 - 4*a**3 with respect to a.
52*a**3
Let f(m) = -m**4 + 13*m + 3. Let o(u) = -4*u**4 + 64*u + 14. Suppose 5*h = 3*h - 6. Let g(n) = h*o(n) + 14*f(n). Find the second derivative of g(q) wrt q.
-24*q**2
Let w(f) = 9*f - 39. Let k be w(9). Differentiate -42*o + 30*o**3 - 12 + 84*o - k*o wrt o.
90*o**2
Let w(d) = -d**3 + 4. Let u be w(0). Differentiate 21 - 5*g - g + 12*g**u + 6*g wrt g.
48*g**3
Let q(c) = -10*c - 26. Let p be q(-3). Find the third derivative of -p*j**6 - 3*j**6 - 40*j**2 - 20*j**6 wrt j.
-3240*j**3
Let t(m) be the first derivative of -3*m**7/280 + m**6/72 + 4*m*
|
{
"pile_set_name": "DM Mathematics"
}
|
. Which is the closest to q? (a) p (b) 2/3 (c) 0.02
c
Let t = -2.55 - -2.55. What is the nearest to 1 in -21.1, t, -3, -1/7?
t
Let n = 3.6707 - 2.6707. What is the nearest to 51 in 3, -3/4, -0.2, n?
3
Let c = -1.1 + 0.8. Let f = -79215/4 + 19803. What is the closest to 1/11 in c, f, 3?
c
Let z = 355 - 358.24. Let s = -3.54 - z. Which is the closest to 3? (a) -3/2 (b) s (c) 0
c
Let j = 12359/8242 - -2/4121. What is the closest to -3/5 in 76/5, j, -4?
j
Let s = -243/28 + 173/28. Suppose -z = 3*j - 3*z, 4*j + 4 = 4*z. Which is the nearest to 1? (a) j (b) 5 (c) 0.4 (d) s
c
Let f(k) = k**2 + 16*k - 18. Suppose 16*g = 22*g + 102. Let j be f(g). Let p = 9.8 + -5.8. What is the nearest to p in -5, j, 0.4?
0.4
Suppose -8*n = 184 + 440. Let j = n - -80. Suppose j*o + 0*o + 33 = 5*u, 4*o = -4*u + 4. Which is the nearest to 0.02? (a) -0.1 (b) u (c) 0.4
a
Let y = 1199.8 + -1200. Which is the closest to 0? (a) y (b) -0.3 (c) 1/11 (d) 0.5
c
Let j = 7.066 - 7.156. Which is the closest to 0.05? (a) 4 (b) j (c) 0.07
c
Let m(l) = -41*l**3 + 2*l**2 + 5*l + 3. Let h be m(-1). Suppose -4*n = -4, h*u - 39*u - 4*n = -8. Which is the nearest to u? (a) 7 (b) 0.1 (c) -1
c
Let k = 14989 + -14983. Which is the nearest to 0? (a) -0.2 (b) -3/16 (c) -2 (d) k
b
Let i = -2164 + 2169. Which is the nearest to 13/4? (a) 1 (b) -5 (c) -4 (d) i
d
Let x be (-10)/(-155) - 1224/1674. Let u(g) = -g**2 + 5*g + 2. Let n be u(6). Let w = -4 + 4.2. What is the nearest to x in w, n, 0.5?
w
Let g = 4774 - 33422/7. Which is the closest to 0.09? (a) 0.05 (b) g (c) -5 (d) 0.3
a
Let z = -159 + 158.765. Let k = z - 1.765. What is the closest to -2/11 in -5, 4/3, k?
4/3
Suppose -596*h - 30 = -591*h + 5*x, -17 = 3*h + 2*x. Which is the nearest to -1? (a) 4/15 (b) 2 (c) h
a
Let h = 141 - -122. Let o = h - 258. What is the closest to 0.3 in 3, 0.5, o?
0.5
Let r = 87426 - 87428. Let y = 371/18 + -178/9. What is the nearest to y in 2/13, 5, r?
2/13
Let j = -3 - -5. Let z = -0.969614 + -0.030386. Which is the closest to z? (a) j (b) 5 (c) 6 (d) -0.4
d
Let m = 7127 - 7124. What is the closest to -1/3 in -24, 4, m?
m
Let w be (6/2)/((546/(-28))/(-13)). Which is the closest to w? (a) 5 (b) -3/8 (c) 4 (d) -0.4
c
Let p = -1652/11 + 150. Let j = 4.22 - -14.78. Let o = 0.12 - 0.12. Which is the closest to o? (a) j (b) p (c) 1
b
Suppose -59 - 11 = 30*o + 20. Which is the closest to 2? (a) -5 (b) o (c) -20 (d) -0.4
d
Let w(q) = q**3 - 8*q**2 - q + 10. Let r be w(8). Let g = -2.36 + 2.26. What is the closest to 0 in r, 5, g?
g
Let d = -128.39 + -0.61. Let v = 135 + d. What is the closest to -6 in 2, v, 3?
2
Let y = 6 + -20/3. Let i be (-1)/3 - (-5)/6. Let k = -1/4041 - -16169/20205. What is the closest to i in k, -0.3, y?
k
Let q = -15582 - -15585. What is the nearest to q in 0.7, -2, -7/5, -5?
0.7
Let g = 1.53 + 682.37. Let p = 684 - g. What is the nearest to 0.2 in p, -1/9, 5/2, -3?
p
Let s = 13/5 - 81/35. Let g be 22/12*(-480)/1320. Which is the closest to s? (a) g (b) -1 (c) 0.02 (d) 3
c
Let v = -933 - -933.9. What is the nearest to v in 56, 2/9, 5, -4?
2/9
Let j = -0.17504 + 81.35104. Let z = j - 0.176. Let u = 80 - z. What is the closest to 1 in u, 4, 0.5?
0.5
Suppose 4*w - 13 = -5. Suppose -5*z - w*x = -0*x + 10, 0 = -z - 4*x - 2. Which is the closest to -0.1? (a) 0.05 (b) z (c) 5
a
Let g be (1/4 + (-99)/(-36))/(-1). Let y(f) = 7*f - 54. Let n be y(7). Which is the closest to -0.1? (a) n (b) -2 (c) g (d) -2/3
d
Let d = 245.03 - 245. Let w = -7.04 - 0.96. Which is the nearest to 1? (a) 3/2 (b) w (c) d
a
Let k be 2/(-4)*(-8 - -7). Which is the closest to k? (a) 0.001 (b) -1/3 (c) -2/11
a
Let n(u) = -2*u**3 + 3*u**2 - 2*u. Let q be n(2). Let k = 216812 - 2384934/11. What is the closest to -0.1 in k, -2/7, -4, q?
k
Let i = -6228 - -6193. Which is the nearest to i? (a) 0.2 (b) 0.3 (c) -3 (d) -4
d
Let v = 1302.3 - 1298.3. Which is the closest to -1/4? (a) v (b) 2 (c) 0 (d) 21
c
Let p = -201 - -571. Let z = p - 4068/11. Which is the closest to -3? (a) z (b) 1 (c) -0.2 (d) -4
d
Let g = -12.1 - -12. Let o = 134 + -182. Let y = o - -48.08. What is the nearest to g in y, -0.5, 2/3?
y
Let s = 5527 - 5526.96. Which is the nearest to s? (a) -2/7 (b) 65 (c) -0.2 (d) 3
c
Suppose 2*s = 5*g + 1237, 10*g + 5*s = 5*g - 1265. Let f = 1989/8 + g. Which is the nearest to 3/5? (a) 3 (b) -2/5 (c) f
c
Let n = 2/511 + 499/3066. What is the nearest to 0.1 in n, -4, -30?
n
Suppose 0 = l - 3 - 2. Let y = -181.3 - -181. Which is the closest to 0? (a) y (b) l (c) -4
a
Let s = -3.497 + 1.497. What is the closest to -4 in -3/4, s, 3?
s
Let k = 0.15 - 0.2. Let v = 14.96 - 14.46. Let s = -30.6 + 31. Which is the nearest to -2/5? (a) k (b) s (c) v
a
Let y be 1050/(-20)*(-4)/5. Let h be (-6)/((-7)/(y/(-9))). Let f be (5/(70/h))/1. Which is the nearest to 6? (a) 4 (b) f (c) 1/3
a
Let j = -27.8 - -18.9. Let d = -3.9 - j. Suppose 2 = -5*l + 3*a, l + 4*l - a - 6 = 0. What is the nearest to l in -0.3, -3/7, d?
-0.3
Let l = -4 - 0. Let w = 74563/7 + -10652. Which is the nearest to -1/5? (a) l (b) w (c) 3
b
Let s = 0.576 + 29.124. Let m = 29 - s. Let n be -10 + (-198)/(-27) - -2. What is the nearest to 2 in n, -0.2, m?
-0.2
Let q = -68 + 121. Let g = q + -52.9. Let v = 0 + g. Which is the closest to -6? (a) -0.4 (b) v (c) 4
a
Let i = -427 + 334. Let w = i + 99. Let j = -6 + 8. What is the nearest to 1 in j, 0.02, w?
0.02
Suppose 0 = m - 2 + 6. Let o = 707 - 706.369. Let l = o - 0.131. Which is the closest to 0.08? (a) l (b) 0 (c) m
b
Let y = 144 + -579/4. Let b be (-11)/10 - 168/(-112). What is the nearest to 1 in 3/2, b, y?
3/2
Let s = -3 + 1. Let u be (((-1)/(-2))/(6*39/208))/1. Let i = -6 - -3. Which is the closest to s? (a) 4 (b) i (c) u
b
Let w = 0.6 - -0.4. Let m = -0.25968 + 0.05968. What is the nearest to w in -2, m, 0.1?
0.1
Let m = -1322 - -1330. Let j(d) = -d**3 + 6*d**2 + 7*d + 3. Let g be j(7). Let i be ((-8)/(-16) - 1)/(1/(-6)). Which is the closest to g? (a) 2 (b) m (c) i
c
Let f = 9268 - 9266. What is the nearest to 1 in 0.47, 1/4, f?
0.47
Let n = 0.232 - -1.768. Let m = 0.44 + -2.34. Let u = m + 4.9. What is the nearest to u in 0.5, n, -0.2?
n
Let g = -184.46 + 180.46. What is the nearest to 0.6 in -8/35, g, 4?
-8/35
Let v = -320.57 - -320. Let k = v - 1.43. What is the nearest to k in 0.1, 0.2, -1?
-1
Let p = 0.3 + -0.4. Let k = p - -0.1. Suppose 0 = 5*c - 4*w + 28, -5*c - 592 = -5*w - 557. What is the closest to c in 12, k, -1/7?
k
Let h = -0.1 - -0.1. Let q = 9701 + -9694. Which is the nearest to q? (a) h (b) -2/3 (c) 3/4 (d) -2
c
Let x(i) = -i - 4. Let g be x(-7). Suppose m + 7*p - 33 = 3*p, -43 = -g*m + 2*p. Let o be (m - 16)*1/(-5). What is the nearest to o in 0.4, 2/7, 2?
2/7
Suppose 2*p = -3*i + 14, -i + 7 = 5*p - 2*p. Let s be 2/6 + i/24. Let q = -2.1 + 7.1. Which is the nearest to 1? (a) s (b) q (c) 4
a
Let d be (6/15)/(4/5*(-30)/(-60)). Let j = -0.8 - -0.5. What is the nearest to 0.2 in j, d, 5?
j
Let g = 31 + 0. Suppose 4*y - 4*w = w + 33, 0 = 4*y - 3*w - g. Let j = 10 - y. What is the nearest to j in -4, 2, 1/4?
2
Let k = 0.038464 - -0.061536. Let p = 3 - 3. What is the nearest to 0.08 in k, p, -0.2?
k
Let v be ((-6)/(-12798))/(29/(-6) + 5). What is the closest to 0.1 in v, -1/3, -0.4?
v
Let s(z) = 26*z**3 - 7*z**2 + 6*z - 2. Let f be s(2). Let l = -761/4 + f. What is the closest to -2/5 in -2/5, 10, 2/11, l?
-2/5
Let n = -2/887 - 2653/3548. Let q = -8.1 - -12.1. Which is the closest to -5/4? (a) n (b) q (c) -2
a
Let d = 3885/13 - 299. Let h = 15/11 - 49/44. What is the closest to d in h, -0.4, -1/3?
-1/3
Let w = -8.26 - -0.16. Let s = w - -8. Let h = 15.66 - 20.66. Which is the closest to s? (a) -4/5 (b) -3 (c) h
a
Let t be ((-1)/(-9))/(12/24). Let h be 2/198*308/28. Let v = 4 + -2. Which is the nearest to h? (a) -3/7 (b) v (c) t
c
Let m = 0 + -5. Let g = -619 + 616. Which is the closest to g? (a) m (b) -1/3 (c) -2/17
a
Let s be ((-3)/(-15) - -1)/((-5)/(-100)*-6). What is the nearest to 0 in 85, s, 0.3, 0.1?
0.1
Suppose 4*y + 5*o - 15 - 6 = 0, 0 = 2*y - 3*o + 17. Let z = -20681/7347 - -87/31. Let w = z + 251/1659. What is the closest to 6 in y, -0.4, w?
w
Let u = 22.33 - 6.39. Let l = u
|
{
"pile_set_name": "DM Mathematics"
}
|
y ((p*p**(1/2)*p)/p)**(-1)/(p*p**(3/8)/p*p*p**1) assuming p is positive.
p**(-31/8)
Simplify (d**0*d)/(d**4/d)*(d/(d/((d*d**1*d)/d)))**(-27) assuming d is positive.
d**(-56)
Simplify (g**(-1/2)*g)/g*g**(-6)*g*((g*g/((g/(g/(g*g/(((g*(g*g**2)/g*g)/g)/g*g)*g)*g))/g))/g)/g**(2/29) assuming g is positive.
g**(-149/58)
Simplify (b**(-1/3)*b**9/b*b)/(b**6/((b*b/(b*b**(7/2)))/b)) assuming b is positive.
b**(-5/6)
Simplify ((g*g**(1/8))/g)**(2/51) assuming g is positive.
g**(1/204)
Simplify ((s*(s/s**(-2))/s*s)/s)**(1/6)*s**(-1)*s/s**(-4/7)*s assuming s is positive.
s**(29/14)
Simplify ((((b*b**(-2/23))/b*b)/b)/b*b)/(b/(b*b*((b/(b*b/(b*b**(-35))))/b)/b)) assuming b is positive.
b**(-830/23)
Simplify m*m*(m*m**(-5))/m*m*m*m**3*(m*m/(m*m/(m**0*m)*m)*m*m)**(-3/34) assuming m is positive.
m**(31/17)
Simplify (((m**2/m*m)/m)**(3/2))**24 assuming m is positive.
m**36
Simplify (j**(-1/3))**(-16)/(j/j**1*j*j*j/(j/(j*(j*j*j**(3/8)*j*j*j)/j*j))) assuming j is positive.
j**(-73/24)
Simplify (d/(d*d**(-10/9)*d))/d*d*d**(-9) assuming d is positive.
d**(-80/9)
Simplify (d/d**15*d/d**(-12))**(-39) assuming d is positive.
d**39
Simplify (r**2*r/((r**(-1/7)/r*r)/r))/(r**1*r)**(-11) assuming r is positive.
r**(183/7)
Simplify (g**17)**47 assuming g is positive.
g**799
Simplify (x**4*x**6/x)**(2/105) assuming x is positive.
x**(6/35)
Simplify (q*q**(-4/15))/q*q**(-21) assuming q is positive.
q**(-319/15)
Simplify (q*(q**0*q)/q*q)**(-2/35) assuming q is positive.
q**(-4/35)
Simplify (u/(u/(u/u**(-17))*u)*u)/(u**19*u) assuming u is positive.
u**(-2)
Simplify ((g**7*g)/g*g**2/g)/((g*((g/g**0)/g)/g)/g)**45 assuming g is positive.
g**53
Simplify n**(2/27)/(n/(n**(-23)/n)*n) assuming n is positive.
n**(-700/27)
Simplify (a*a**4*a)/((a**(-2)/a)/a*a)*a**(-6)/a*a**(7/3) assuming a is positive.
a**(13/3)
Simplify (y/y**(-2/7))**(-14)/(y/(y**(-1)*y)*y)**(-1/9) assuming y is positive.
y**(-160/9)
Simplify ((i/(i*i/i**(-1/5)))**(24/5))**38 assuming i is positive.
i**(-5472/25)
Simplify r**(-2/7)*r**(-5)*r**(-1/8)*r**(-3/2) assuming r is positive.
r**(-387/56)
Simplify (y*y*y/(y*y**(6/13)/y))/y**(-4) assuming y is positive.
y**(85/13)
Simplify (w**(-2/7)/((w*(w**(-4)*w)/w)/w))/(w**(-1)/w**(-2/7)) assuming w is positive.
w**(31/7)
Simplify (a*a*a*a**(-5/6)*a*a*a**(-1/7))/(((a**7/a)/a*a)/(a**(-5/2)/a)) assuming a is positive.
a**(-115/21)
Simplify (p**(-1/2)*p)/(p**(1/7)/p) assuming p is positive.
p**(19/14)
Simplify (q**(1/13)/q**16)**(-9/7) assuming q is positive.
q**(1863/91)
Simplify ((j**(-2/5))**(1/8))**(-20) assuming j is positive.
j
Simplify (q**(4/7)*q)/((q*q/(q**(5/8)*q))/q) assuming q is positive.
q**(123/56)
Simplify t*(t/t**(13/6))/t*t*t/(t/(t/t**18*t))*t*t assuming t is positive.
t**(-85/6)
Simplify (h**(-1/5)/h**(1/2))**36 assuming h is positive.
h**(-126/5)
Simplify (v**(-2/19)/v*v*v)**(-4/7) assuming v is positive.
v**(-68/133)
Simplify (q/q**(-1))**(-31)/(q/(q/q**(-1/5))*q/(q*q/((q/(q*q/q**(2/7)))/q))*q) assuming q is positive.
q**(-2103/35)
Simplify ((b**(-15/2)*b)/b)/(b*b**0) assuming b is positive.
b**(-17/2)
Simplify ((z/(z*z**1)*z)/z)**(-39)/(z/z**(1/4)*(z**3*z)/z) assuming z is positive.
z**(141/4)
Simplify ((l*l**2)**(-11/3))**29 assuming l is positive.
l**(-319)
Simplify (k/(k**(-1/3)*k))**30*k**(-1/2)*k*k/(k/((k*k**(1/3))/k)) assuming k is positive.
k**(65/6)
Simplify (o/(o/o**(-10))*o)/(((o*o/o**(-4/3)*o*o)/o*o)/o) assuming o is positive.
o**(-40/3)
Simplify (f*f/(f**(-2/15)/f))/f*f**(-2/39)/f assuming f is positive.
f**(211/195)
Simplify (y*y/((y/y**1)/y))**(-10/13)/((y*y*y**(-4))/(y**(-3)*y)) assuming y is positive.
y**(-30/13)
Simplify y**36/(y*y/y**(-1/25)*y) assuming y is positive.
y**(824/25)
Simplify (d*d**(-14))**0 assuming d is positive.
1
Simplify h**(-6)/h*h**29*h assuming h is positive.
h**23
Simplify (l**5*l)/((l/l**0*l)/l) assuming l is positive.
l**5
Simplify d*d*d**(5/2)*d*d*d*d*d*d**4*d*d*d**(-2)/(d**(-5)/d) assuming d is positive.
d**(39/2)
Simplify (t*t/(t/((t*t/(t*(((t/t**(3/2))/t*t)/t)/t))/t))*t**(1/4))**(-26) assuming t is positive.
t**(-195/2)
Simplify v**5/v**(-3/4)*(v/v**(-3/5))/v**(3/4) assuming v is positive.
v**(33/5)
Simplify ((g/g**(1/9))/g**(-6))/((g/(g*(g/(g/(g**(-2/5)/g)))/g*g))/g*g*g)**(2/49) assuming g is positive.
g**(14974/2205)
Simplify (f**(-6)*f)/((f*f/(f*(f*f**5/f*f*f)/f*f))/f)*f**3*f**3 assuming f is positive.
f**8
Simplify (r/(r**3*r))/r**(3/2) assuming r is positive.
r**(-9/2)
Simplify g**(2/9)*g*g*g**(-2/15)*g**4*g**6 assuming g is positive.
g**(544/45)
Simplify (f*f**(-7)/f*f**(-3))/((f*f**(-2))/f*f**6) assuming f is positive.
f**(-14)
Simplify r**(-3/5)*r**(-4/5) assuming r is positive.
r**(-7/5)
Simplify m**27*m/(m/(m/(m*(m/(m*m**27))/m*m)))*m assuming m is positive.
m**55
Simplify (g**(2/17))**(-39) assuming g is positive.
g**(-78/17)
Simplify (k/(k*k**(-6/19))*k)**(6/7) assuming k is positive.
k**(150/133)
Simplify (a**(2/13)/(a/a**(4/3)))**(-45) assuming a is positive.
a**(-285/13)
Simplify ((g*(g**(-7)/g)/g)/(g/(g/g**(1/4))))**(-11) assuming g is positive.
g**(363/4)
Simplify ((l**(-4)*l)/l**(-11))/(l*((l/((l/l**(2/5))/l)*l)/l)/l*l*l/(l*l**(-1/2))) assuming l is positive.
l**(51/10)
Simplify (g/((g/g**(3/41))/g))**(-22) assuming g is positive.
g**(-968/41)
Simplify ((y**(-17)*y)/y)**40 assuming y is positive.
y**(-680)
Simplify (w**18/w**1)**(-6/25) assuming w is positive.
w**(-102/25)
Simplify (b**(-1/7))**(-24) assuming b is positive.
b**(24/7)
Simplify o**(2/15)/o*o**(2/15)*o**(-2/13)*(o*o**(2/7)*o)/o assuming o is positive.
o**(544/1365)
Simplify u*u**(2/3)*u/(u/(u/(u**(-1/21)/u))) assuming u is positive.
u**(26/7)
Simplify (o*((o/(o*(((o*o**5/o*o)/o*o)/o)/o))/o)/o)/((o*o*o/(o*o*o**(-1)/o))/o)*o*o/o**4*o*o**(-2) assuming o is positive.
o**(-10)
Simplify f**(2/21)*f*f*f**(1/13)*f assuming f is positive.
f**(866/273)
Simplify (j/((j/(j/((j*j**(2/25))/j)))/j)*j*j**8)**(-1/20) assuming j is positive.
j**(-273/500)
Simplify (l*l**3)/l**(-2/5)*(l*l/(l*l*(l/((l**4/l)/l*l))/l))/l**6 assuming l is positive.
l**(7/5)
Simplify ((j*j/(((j**(1/3)*j)/j)/j*j)*j)/j)**(2/35)/(j**(2/25)/(j**1/j)) assuming j is positive.
j**(8/525)
Simplify c**(-5/6)/(c**(1/3)*c) assuming c is positive.
c**(-13/6)
Simplify ((w**0*w)**(-1/38))**(1/4) assuming w is positive.
w**(-1/152)
Simplify (((y*y**(3/4)/y*y)/y)/y**9)/((y*y*y/y**(-2/3))/y)**(-35) assuming y is positive.
y**(1021/12)
Simplify (g/g**(-4))/g**(-1/8)*(g*(g*g*g**6/g)/g*g)/g*g*g**(-3/2)*g*g assuming g is positive.
g**(109/8)
Simplify ((c*c**(-8)*c)/c)**(-25) assuming c is positive.
c**175
Simplify (v**(1/2)/(v/v**(-3/5)))/(v**(3/7)*v*v**(-1/8)) assuming v is positive.
v**(-673/280)
Simplify (d/d**(-2)*d)**(-26)*(d*d**(-1/2))/d**0 assuming d is positive.
d**(-207/2)
Simplify (u**(-1/4)*(u*u**(-4/11)/u)/u)**(2/21) assuming u is positive.
u**(-71/462)
Simplify (m*m**(2/17))**(-2) assuming m is positive.
m**(-38/17)
Simplify (v**(-1/2))**(1/50)*v/v**(2/9)*v**(-3) assuming v is positive.
v**(-2009/900)
Simplify (m/m**13*m*m/m**(1/5))**(2/47) assuming m is positive.
m**(-102/235)
Simplify (k/(k*k/(k*k**44*k)))/k**34 assuming k is positive.
k**11
Simplify ((h/h**(2/11))/h**(-2/3))/(h/h**2)**(-4/43) assuming h is positive.
h**(1975/1419)
Simplify (i**(-6)*i*i/((i**(1/15)/i)/i))/(i/i**(-2/7))**(-2/11) assuming i is positive.
i**(-2117/1155)
Simplify ((o*o*o/(o/(o**(-1/2)/o))*o)/o*o*o**(-2/15)/o)**37 assuming o is positive.
o**(407/30)
Simplify ((((t*t**(2/5)*t)/t)/t)**(-44))**7 assuming t is positive.
t**(-616/5)
Simplify ((z**1*z)/z)**(-1/10)*z**(-2/3)*z**(-3/4) assuming z is positive.
z**(-91/60)
Simplify (z**(1/19)*z/(z*(z/z**(1/25)*z)/z))**(1/8) assuming z is positive.
z**(-431/3800)
Simplify ((h/(h*h**(1/5))*h)/((h**(-9)/h*h)/h))**(4/7) assuming h is positive.
h**(216/35)
Simplify (a**6*(a/((a*a/((((a/a**(-2))/a)/a)/a))/a*a))/a)**(2/15) assuming a is positive.
a**(8/15)
Simplify z*((z**(-17)*z)/z)/z*z**(1/20) assuming z is positive.
z**(-339/20)
Simplify g**(2/109)*g*g**(-18/11)*g*g assuming g is positive.
g**(1657/1199)
Simplify (o*o*o*o**1)**(3/7)/(o**(1/2)/o)**27 assuming o is positive.
o**(213/14)
Simplify (t**0)**(17/7)*((t*t*t/((t*t**(-1/2)*t*t)/t)*t*t*t*t)/t)**43 assuming t is positive.
t**(387/2)
Simplify l/l**(5/2)*l**9 assuming l is positive.
l**(15/2)
Simplify i**
|
{
"pile_set_name": "DM Mathematics"
}
|
5*p**3 - 1080*p + 531*p**2 = 0.
0, 1, 216
Let r(f) be the third derivative of -f**8/1008 - 4*f**7/315 + 161*f**6/360 + 133*f**5/45 + 5*f**4/18 - 352*f**3/9 - 537*f**2 - f. Suppose r(b) = 0. What is b?
-16, -2, 1, 11
Let r(x) be the third derivative of 0*x + 0*x**3 - 34*x**2 - 19/12*x**6 + 105/8*x**4 + 2 - 2/7*x**7 - 5/336*x**8 - x**5. Solve r(p) = 0 for p.
-7, -3, 0, 1
Let n = 2831 - 1246. Factor 484 + n*f**2 - 5*f**5 + 47*f**4 - 1016*f**3 + 4*f**5 - 1496*f + 397*f**3.
-(f - 22)**2*(f - 1)**3
Let n be 180/(-15)*(-147)/(-6). Let h be 18/231*73 - n/(-539). Solve -162/7*q + 0 + h*q**2 - 2/7*q**3 = 0.
0, 9
Let f = 12171/2 - 6085. Let h(g) be the first derivative of -5 + 2/3*g**3 - 2/5*g**5 + g**2 + 0*g - f*g**4. Factor h(a).
-2*a*(a - 1)*(a + 1)**2
Let f(c) = -c**2 + 14. Let q(b) = 280*b**2 + 270*b - 88. Let d(s) = -6*f(s) - q(s). Factor d(j).
-2*(j + 1)*(137*j - 2)
Let d(k) be the second derivative of k**6/60 - k**5/6 + 2*k**4/3 - 4*k**3/3 + 55*k**2/2 + 74*k. Let q(s) be the first derivative of d(s). Factor q(r).
2*(r - 2)**2*(r - 1)
Let x(s) be the second derivative of s**4/6 - 17*s**3/6 - 9*s**2/2 + 2891*s. Determine u so that x(u) = 0.
-1/2, 9
Let x(t) be the first derivative of -2*t**3/63 + 34*t**2/7 - 202*t/21 - 1297. Suppose x(z) = 0. What is z?
1, 101
Let j be (-56)/(-36) - (-89)/((-25632)/448). Factor -2/7*h - 2/7*h**4 - 6/7*h**3 + j - 6/7*h**2.
-2*h*(h + 1)**3/7
Let r(q) = -49*q**2 + 1. Let k be r(3). Let s be (24/14)/((-60)/k). Factor -s*a**2 - 36/7 + 2*a**3 + 150/7*a.
2*(a - 3)**2*(7*a - 2)/7
Let j(a) = 47*a**3 + 1221*a**2 - 65*a - 1010. Let u be j(-26). What is o in 86/3*o**3 + 92/3 + 274/3*o - 2/3*o**u + 90*o**2 = 0?
-1, 46
Let a(k) be the second derivative of k**7/735 - k**5/210 + 33*k**2 + 2*k + 8. Let r(v) be the first derivative of a(v). Solve r(c) = 0.
-1, 0, 1
Let o(m) be the third derivative of 2*m**7/315 + 47*m**6/180 + 263*m**5/90 - 14*m**4/3 - 16*m**3 - 12182*m**2. Determine c, given that o(c) = 0.
-12, -1/2, 1
Let i = 11338/755 - 818/151. Factor 7/2*x + i*x**2 - 18/5*x**3 + 3/10.
-(x - 3)*(6*x + 1)**2/10
Let g(q) be the first derivative of 0*q**2 + 0*q**3 + 0*q + 2/85*q**5 + 4 + 3/17*q**4. What is j in g(j) = 0?
-6, 0
Let w(c) be the first derivative of -148*c**3/3 + 400*c**2/3 + 176*c/3 - 6642. Solve w(s) = 0.
-22/111, 2
Suppose -7*j = -369 + 169 + 179. Let l(y) be the second derivative of -31*y + 0 - 1/42*y**4 - 2/7*y**2 + 1/7*y**j. Factor l(p).
-2*(p - 2)*(p - 1)/7
Let c(y) = -13*y**2 + 11*y - 21. Let r be c(6). Let w = r - -423. Find m, given that -3/5*m**5 + w + 0*m**2 + 9/5*m**4 + 0*m - 6/5*m**3 = 0.
0, 1, 2
Factor 1173*a**3 - 536*a + 62*a**2 + 832 + 1026*a**3 - 2200*a**3.
-(a - 52)*(a - 8)*(a - 2)
Let -645*t**2 + 354*t**2 + 279*t**2 + 15*t**3 - 3*t = 0. What is t?
-1/5, 0, 1
Suppose 3*u = -0*u + 4*c + 6, c = u - 2. Factor -v**2 + 0*v + 2*v + 4*v**2 - v**u + v - v**3.
-v*(v - 3)*(v + 1)
Let j(h) be the first derivative of -h**3/5 - 423*h**2/5 - 843*h/5 - 5690. Factor j(t).
-3*(t + 1)*(t + 281)/5
Let n(z) be the third derivative of 1/120*z**6 + 0*z**4 + 1/210*z**7 + 0*z**3 - 97*z**2 + 0*z**5 + 0 + 1/1344*z**8 + 0*z. Find q such that n(q) = 0.
-2, 0
Let s = 47 - 40. Factor -23*u**3 + 44*u**3 - 11*u**3 + 12 - 21*u - s*u**3 + 6*u**2.
3*(u - 1)**2*(u + 4)
Let i be (-4)/6 + (0 - 64/(-24)). Factor 1662*t - 10*t**3 - 1638*t - 4*t**i - 4*t**4 - 6*t**3.
-4*t*(t - 1)*(t + 2)*(t + 3)
Let y(f) = f**2 - 5366*f - 5372. Let u(p) = -2682*p - 2685. Let t(r) = 5*u(r) - 3*y(r). Factor t(q).
-3*(q - 897)*(q + 1)
Let p(z) be the third derivative of z**5/90 + 35*z**4 + 44100*z**3 + 1145*z**2. Find u such that p(u) = 0.
-630
Let v(d) be the second derivative of d**7/168 + 19*d**6/60 + 97*d**5/16 + 553*d**4/12 + 147*d**3/2 - 2*d + 29. Let v(f) = 0. Calculate f.
-14, -9, -1, 0
Suppose 3*l - 2*b = -4, -2*l - b + 7 + 2 = 0. Let w be 612/(-119) + l/14 + 8. Solve 7*q**4 + 6*q**2 - 1 + 3/2*q**5 + 11*q**w - 1/2*q = 0 for q.
-2, -1, 1/3
Let k(t) be the first derivative of -2*t**5/45 + 5*t**4/2 + 188*t**3/27 + 624. Solve k(a) = 0 for a.
-2, 0, 47
Let m be 20*(21/6)/7. Suppose -5*k - m = -f, f - 3*f - 8 = 4*k. Find d, given that 2*d**2 - d**2 + 2*d**2 - 9*d + f*d**2 = 0.
0, 3
Let c = 8665/6 - 25991/18. Factor 0*y - c*y**2 + 2.
-2*(y - 3)*(y + 3)/9
Let -21/2*k**3 + 3/2*k**4 - 303/2*k**2 - 270 - 819/2*k = 0. Calculate k.
-4, -3, -1, 15
Let j(t) be the second derivative of 1/24*t**4 + 0 - 46*t + 0*t**2 - 3/4*t**3 + 9/40*t**5 - 1/60*t**6. Factor j(r).
-r*(r - 9)*(r - 1)*(r + 1)/2
Let a(v) be the second derivative of 2/27*v**3 - 3 + 9*v + 1/54*v**4 + 1/9*v**2. Determine n so that a(n) = 0.
-1
What is g in -780/7*g + 32/7*g**3 + 46/7 + 702/7*g**2 = 0?
-23, 1/16, 1
Suppose 5*s - 3*w = s + 13, -4 = -4*w. Solve -9*u**5 - 22*u**3 - 6*u**4 - 6*u**s - 12*u**3 + 37*u**3 + 6*u**2 = 0.
-1, 0, 2/3
Let c(l) be the first derivative of -25*l**6/21 + 58*l**5/7 + 48*l**4/7 - 880*l**3/21 + 272*l**2/7 - 96*l/7 + 494. Find j such that c(j) = 0.
-2, 2/5, 1, 6
Determine b, given that -2*b**3 + 12/7*b + 2/7*b**5 + 10/7*b**4 + 0 - 10/7*b**2 = 0.
-6, -1, 0, 1
Suppose -8 = 9*g - 10*g. Suppose -10*z = -g*z - 6. Determine c, given that -5*c**z + 26 - 17*c**2 - 6 + 2*c**2 = 0.
-2, 1
Factor -100/9*n + 0 + 10*n**2 - 8/3*n**3 + 2/9*n**4.
2*n*(n - 5)**2*(n - 2)/9
Let d(t) be the first derivative of 31 - 3/14*t**4 + 9/14*t**2 - 2/7*t**3 - 1/14*t**6 - 3/7*t + 9/35*t**5. Factor d(f).
-3*(f - 1)**4*(f + 1)/7
Let y(w) be the first derivative of -w**3/3 + 1010*w**2 - 1020100*w - 3334. Determine i, given that y(i) = 0.
1010
Let x(b) = 5*b**3 + 11*b**2 + 4*b - 40. Let r(m) = 15*m**3 + 33*m**2 + 18*m - 119. Let v(o) = 4*r(o) - 13*x(o). Find g such that v(g) = 0.
-11/5, -2, 2
Let v(r) = -8*r**2 + 17*r + 3. Let p = -157 - -86. Let s = -74 - p. Let g(m) = -65*m**2 + 135*m + 25. Let o(h) = s*g(h) + 25*v(h). Factor o(n).
-5*n*(n - 4)
Let o(f) = -62*f + 11537. Let d be o(186). Find z, given that -2/3*z**d - 2/3*z**4 - 4/3*z + 0 + 2/3*z**2 + 2*z**3 = 0.
-2, -1, 0, 1
Let d(m) be the first derivative of -8*m**6/3 - 412*m**5/5 - 466*m**4 - 308*m**3/3 + 1700*m**2 - 800*m + 4630. Determine q so that d(q) = 0.
-20, -5, -2, 1/4, 1
Let i(p) be the second derivative of p**5/190 - 423*p**4/19 + 715716*p**3/19 - 605495736*p**2/19 + 2161*p. Determine u so that i(u) = 0.
846
Let q(s) = -3*s**4 - 1. Let b(z) = -20*z**4 + 1164*z**3 + 2325*z**2 + 1162*z - 7. Let y(o) = -b(o) + 7*q(o). Factor y(a).
-a*(a + 1)**2*(a + 1162)
Let z(g) = 2*g + 16. Let y be z(-8). Suppose y = 5*d - x - 13, -5*x + 3 = 3*d - 4*x. Factor -12 + 3*l**4 + 9*l**d - 9*l**3 - 9*l**3 + 2*l**3 + 4*l**3 + 12*l.
3*(l - 2)**2*(l - 1)*(l + 1)
Let h(o) = -1789*o - 59033. Let y be h(-33). Factor y*d**3 + 2/3*d**4 - 2/3*d**5 + 0*d + 0 + 0*d**2.
-2*d**3*(d - 3)*(d + 2)/3
Factor -9*s**2 - 365*s + 166*s + 24 + 149*s.
-(s + 6)*(9*s - 4)
Let f(g) be the third derivative of -8/3*g**4 - 4/15*g**5 - 1/90*g**6 + 0 + 0*g - 3*g**2 - 5/6*g**3. Let v(h) be the first derivative of f(h). Factor v(n).
-4*(n + 4)**2
Let m(b) be the second derivative of -b**5/130 - b**4/6 - 2*b**3/3 + 40*b**2/13 + 2417*b - 1. Suppose m(y) = 0. Calculate y.
-10, -4, 1
Let y(u) = 3*u - 72. Suppose -175*q + 185*q - 240 = 0. Let a be y(q). Factor a - 3/5*c**4 - 24/5*c**2 + 3*c**3 + 12/5*c.
-3*c*(c - 2)**2*(c - 1)/5
Let g(w) be the first derivative of -77/26*w**4 + 2/65*w**5 - 2704*w + 100*w**3 + 158 - 1196*w**2. Find i, given that g(i) = 0.
-1, 26
Let f(h) = 2*h**4 - h**3 + h**2 + 2*h + 1. Let g(b) = 5*b**5 + 33*b**4 - 99*b**3 - 141*b**2 + 218*b + 4. Let w(v) = -4*f(v) + g(v). Find k such that w(k) = 0.
-7, -2, 0, 1, 3
Let t = -5774 + 5777. Let a = -71/6 + 12. Factor -1/3*w - a*w**4 + 1/6 + 1/3*w**t + 0*w**2.
-(w - 1)**3*(w + 1)/6
Let x be (-171)/19*4/(-18). Solve 100*m**4 + m**3 + 96*m**4 - m + m**x - 197*m**4 = 0 for m.
-1, 0, 1
Find c such that 2/7*c**5 + 0*c**2 + 0*c + 0 - 292/7*c**4 + 0*c**3 = 0.
0, 146
Factor 7921/4 + 89/2*x + 1/4*x**2.
(x + 89)**2/4
Let d(k) be the third derivative of -k**9/7560 + k**8/3360 + k**7/1260 - k**6/360 - 57*k**4/8 - 30*k**2. Let w(a) be the second derivative of d(a). Factor w(m).
-2*m*(m - 1)**2*(m + 1)
Let s = 59839 - 59821. Solve 0 - 4*g**4 + s*g**3 + 1/3*g**5 + 27*g - 36*g**2 = 0 for g.
0, 3
Factor -1/4*b**2 - 35/4 - 3*b.
-(b + 5)*(b + 7)/4
Let g(z) = 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
e -4*m = -t*l + l - 3, 4*m = -4*l for l.
-1
Suppose -10*v + 3*g = -8*v + 4, 2*v + 5*g = 28. Solve -6 = -4*p - p + 4*d, 0 = -3*p + v*d + 2 for p.
2
Let v = 136 + -127. Suppose n - 2 = v. Solve 4*y = -p + 15, -4*y - 5*p + n = -0*y for y.
4
Let p(n) = -60*n**3 + n. Let x be p(-1). Suppose -35*u - 2*u = -2*u - 1925. Let a = x - u. Solve 0 = -j - a*w + 4 + 13, -j + 2 = -w for j.
5
Let o(d) = -4*d - 23. Let m be o(-8). Let b(y) = 2*y**2 + 4*y + 3. Let v be b(-1). Let i be 7 + m/(-2 - v). Solve 0 = -i*a - 0*a + 3*z - 12, 0 = z for a.
-3
Suppose -f + 29 = 3*d, -5*d - 4*f + 8*f = -71. Let v(l) = l - 11. Let r be v(d). Suppose r = -21*y + 26*y - 95. Solve -2*h + 3*m = 2*h - y, -2*h = -m - 9 for h.
4
Let k = 94 + -28. Let o = k - 72. Let u(h) = -3*h - 1. Let i be u(o). Solve 3*y + 4*q = i, -4*y + 18 = 3*q - 0*q for y.
3
Let i = 47 - 51. Let v be (6/i)/((-12)/(-80)). Let a be (v/(-25))/(4/40). Solve a*c + 5*h = -12, 0*c + h = -c - 3 for c.
-3
Suppose 534*j = -98*j - 4295 + 13775. Solve m + 15 = 3*b, -3*b + 8*m - 12*m + j = 0 for b.
5
Suppose -12 = 4*b, 2*b = 3*r + 12 - 18. Suppose r = 32*u + 8*u - 80. Solve -5*c - 35 = 4*v - u*v, -40 = 5*c + 3*v for c.
-5
Suppose -6*d = d. Suppose 4*q = -d*q + 12. Solve -3*f = q*i + 6, 3*f - 19 = i - 5 for f.
3
Suppose -j - 1 = -y + 16, -j + 73 = 5*y. Let l = -323714 + 323724. Solve -5*q = -2*w + y, 3 = 2*q + 3*w - l for q.
-1
Let v(c) = -c**2 - 9*c - 10. Let a be v(-7). Let p be (-3)/(-1) + (5 - 4). Let j be (4/4)/(2/p). Solve -16 = -4*x + 2*l - l, -x + a = j*l for x.
4
Suppose -6*l = -4*l. Let d = 13205 - 13203. Solve -d*j + l*f + 3*f = -3, -5*f - 12 = -j for j.
-3
Let c = -57521 - -57528. Suppose -4*q - 5*a = -31, 4*a + 7 = -2*q + 27. Solve -q*y + 5*g = c, 4*y + g - 1 = 5*y for y.
2
Suppose 0 = 192*u - 189*u + 849. Let c = u + 285. Solve y - c = -3*q, 1 = -4*y + q - 4*q for y.
-1
Let o = -68 + 73. Suppose -4*u + 12 = -2*x, -5 = o*x - 3*u + 4. Suppose x = -0*g - 3*g. Solve 0 = b + p + 6, 3*p + g*p = b - 2 for b.
-4
Let z be (0 + -1)/(12*23/(-1104)). Solve -2*l = -z*x - 14, 34*l - 9 = 2*x + 31*l for x.
-3
Let b(m) = -7*m + 42. Let x be b(10). Let i = -23 - x. Solve 17 = 3*y + 4*z, -y + 0*y + 13 = i*z for y.
3
Suppose 3*d + 118 - 106 = -2*q, -5*q + 33 = -3*d. Solve q*x - 20*u + 24*u = -11, -u = 4*x + 6 for x.
-1
Let o(f) = -f - 9. Let d be o(-12). Suppose 5*c - 4 - 32 = 4*v, c - d*v - 16 = 0. Let p be -1 + (2 + 4)/2. Solve 4*z = l - 1, -p*l - c = -5*z + l for z.
-1
Let q = -132 - -104. Let o = 28 + q. Let c = -1 + 4. Solve 3 = 3*s - 0*b + c*b, o = 2*s + 5*b + 10 for s.
5
Suppose 3*x - 4*c = 38, 7*x - 2*c - 14 = 8*x. Solve 5*d = 15, d - 10 = -x*n + 3 for n.
5
Suppose -8*l + 171 = -1421. Let x = l + -194. Solve 0 = -3*q + 4*r + 6, 0*q - 2 = -q + x*r for q.
2
Let r be (4/84*6)/(8/140). Solve 2*w + 6 = r*y + 4*w, 4*y = 3*w - 9 for y.
0
Suppose -55*b + 60*b + 10 = 4*o + 35, 3*o = 0. Solve 0 = -f + 4*g - 6, -b*f - 2*g + 3 + 11 = 0 for f.
2
Suppose 5*q - 4*v - 50 = 0, -q + 296*v + 10 = 298*v. Suppose 8 = -4*s - 4*u, -3 + 2 = 3*s - 2*u. Let t = s + 4. Solve i + 3*p = q, -t = -3*p + 3 for i.
4
Suppose 29*x - 22*x = 0. Suppose x = -c + 6*k - 2*k, -5*c + 15 = -5*k. Solve d - 7 = 4*i, -i - 3*i = c for d.
3
Suppose 3*o + 155 = -b, b - 3*b = 10. Let d = 70 + o. Suppose -2 = -5*q + 3. Solve -d = -5*r + z, -r + 2*z = -q - 3 for r.
4
Let p be (-196 - -196) + (-1)/((-1)/7). Solve -3*s = n - p, -5*n + 0 = s - 7 for n.
1
Let z be (-1788)/2235 - 34/(-5). Solve -m = h, 0 = -10*m + z*m - h + 3 for m.
1
Suppose 0 = 2*w - 2 - 2. Suppose 0 = -20*y - 88 + 128. Solve 0 = -w*n - 5*i + 14, -3*n + 2*i = -y - 0 for n.
2
Let c(z) be the third derivative of z**6/120 - z**5/30 + z**4/12 + z**3/2 + 6*z**2 + 5*z. Let v be c(3). Solve 3*u = 4*t - t + v, 10 = 3*u + t for u.
4
Let t be ((-3185)/52)/(-35) - 2/(-8). Solve 12 = -4*g, 2*g + t = -5*v + 4*v for v.
4
Let p = 87 - 108. Let y be ((-77)/p - 4)/((-1)/12). Suppose 13 + 3 = y*t. Solve 5*x - t*f = -6, -10 = -2*f - 2 for x.
2
Let t be 2/(-4) - 92/8. Let o = t + 20. Let d be o + 0*(-1)/5. Solve 0 = 5*f + 2*k - 10, -4*f - k + d = 3*k for f.
2
Let l be ((-1200)/(-32))/25*(-8)/(-6). Solve -3*y = 3*m + 3, -3*y + 206*m = 204*m - l for y.
0
Let q(x) be the first derivative of x**2 - 8*x + 159. Let j be q(6). Solve -3*t + j*k - 10 = 0, -5*t + 10 = 5*k - 20 for t.
2
Let r(y) = y - 7. Let i be r(3). Let o be (2 - 29/i)*(-12)/3. Let d = 54 + o. Solve -4*g - s = -2*s - d, -2*g = 2*s - 16 for g.
5
Let p(z) = -2*z - 7. Let o be p(-6). Suppose -3*y = -4*b + 796, 2*y + 5*b + 441 = -128. Let j = -269 - y. Solve o*t + 8 = 3*i, -5*t + 0 = j*i + 2 for i.
1
Suppose 0 = 3*i - 5*t - 235, 5*i + 2*t - 290 - 81 = 0. Suppose -7*p = 18*p - i. Solve p*r - 4*x + 1 = -0, -6 = 2*r - 4*x for r.
5
Suppose -5*o + 88 = 3*h, 197*o + h = 190*o + 104. Solve -3*c - 5*x = 9, -4*c + 2*x = -0*c - o for c.
2
Let b(v) = v**3 - 23*v**2 + 10*v - 226. Let g be b(23). Let d = 32 - 10. Let x be (-7 - -1)*4/(-6). Solve -3*m = g*t - d, -x*m + 9 + 19 = 5*t for m.
2
Let j be -3 + (-26)/(-117) + (-7826)/(-18). Suppose c + 429 - j = 0. Solve -v + 3*v - c = -d, 3*d + 3*v - 6 = 0 for d.
1
Let o be 42/28 + (-1)/(-2). Solve n = -k, -3*k = -o*n + 2*k - 28 for n.
-4
Let l(q) = -6*q + 2. Let t be l(-1). Suppose o = -o + t. Let g be 22/8 - 1*o/(-16). Solve -3*c = g*b + 3, 3*b + 2*b - 1 = c for b.
0
Let d be (4/(-70))/((-2)/(-10))*(-848 + 834). Solve 0*g + g = n + d, 5 = n + 2*g for n.
-1
Let u = 19308 + -19304. Suppose -7*a = -6*a. Solve -4*i + 17 = -i + k, i + u*k - 13 = a for i.
5
Let f(o) = -8*o**3 - 119 + 118 + o**2 + 2*o**2. Let q be f(1). Let h be (q/(-15))/((3 + -2)/15). Solve m = -2*b - h, 3*m - 19 + 2 = b for b.
-5
Let w = 123 - 121. Let a(x) = -3*x - 15. Let z be a(-6). Suppose z*f - 9 = 3. Solve 0*g + g + 3*d - 4 = 0, -2*g - w*d = f for g.
-5
Suppose y - 5*y = -8. Let z(k) = 3*k + 1. Let f be z(1). Solve -2*q + 2*r + y = -f*q, -21 = q - 4*r for q.
-5
Suppose 5*s = -5*m + 5, 6*m - 4*m - 12 = -4*s. Let d = s - 2. Suppose -3*y + 6 = -d. Solve 2*v - 24 = -4*i, -3*i + 27 - 6 = y*v for v.
2
Let s = -134 - -114. Let p be (6/(-4))/(15/s + 0). Solve 3 = 5*h - p, 3*h = -3*y + 6 for y.
1
Let r(v) = -v**2 + 10*v + 818. Let i be r(34). Solve i*b = -5*k - 9 - 12, 16 = -4*k - 2*b for k.
-5
Let w = 1071 + -1067. Solve 5*i - 3*i - 4 = 4*o, -w*i - 4*o = -20 for i.
4
Let q be ((-5)/(-2))/((-20)/(-48)). Suppose 5*o = -q + 16. Suppose 0 = -r + o + 2. Solve -2*k - 3*k = -b, 0 = -r*b - k for b.
0
Let y = 49 + -44. Let n = -18 - 123. Let z = 141 + n. Solve -y*b + 3*g - 4*g - 15 = z, 0 = 2*b - 5*g - 21 for b.
-2
Suppose 0 = -6*h - 46 - 38. Let f be 1/((-7)/h) + 2. Solve -f*i = i - 4*j + 20, -3*i + 3*j = 15 for i.
0
Let l = 5 - 1. Suppose 0 = 5*q - 2*p - 53, -332 + 314 = -3*p. Solve l*h + 16 = n, 4*h - h + q = n for h.
-3
Let l(h) = -3*h**2 + 14*h + 10. Let p be l(5). Let c be p + (-2 - -1) - (5 - 6). Solve -3*x + c*x = 4*s - 6, 2*x - 9 = -s for s.
3
Let z = -10 - -22. Let u = 9101 - 9097. Solve -12 = -u*x, -3*k + 2*x + z = x for k.
5
Suppose 0 = -7*q + 6*q + 3. Let h = 44 + q. Suppose -9*v = -h - 7. Solve -3*f = -3*w - v, 4*f - 14 + 0 = -2*w for f.
3
Let v be 6*5/30 + -4 + 1. Let q(w) = -w**3 - 2*w**2 - w + 3. Let u be q(v). Solve -j - 2*j = 6, u*j = -a - 13 for a.
-3
Let u be (-1176)/(-198) - 11/((-1815)/10). Solve 8*g - 2*h = 3*g + 24, -3*g = 3*h - u for g.
4
Let h(o) = o**2 + 37*o - 74. Let n be h(-39). Solve 10*j + 5*f = 6*j + 18, -10 = -n*j - f for j.
2
Suppose -16*y + 7 - 7 = -0. Solve y = -v + 5*l - 23, -4*v - 1 = 4*l - 5 for v.
-3
Suppose 0 = 65*p - 1323 - 1342. Solve 0 = 2*n - 10, -5*d - p*n = -39*n - 20 for d.
2
Suppose 50 - 10 = 20*t. Solve -5*y - 7 = t*n, 3*y + 5 = -4*n + 2*n for n.
-1
Suppose 354*r - 349*r - 13 = 2*n, 2*n = -5*r + 37. Solve -2*q - 2*x = -4, 19 = -3*q + r*q + 5*x for q.
-3
Let c(n) = -5*n - 30. Let w be c(-7). Suppose 0 = j - 2*a, -3*a = -419*j + 419*j. Solve g - 9 + j = -w*b, -g + 3 = 2*b for b.
2
Suppose -817 - 1199 = -322*w + 238. Let u = 11 - 8. Solve 4*n - u*l - w = -42, -3*n - 10 = l for n.
-5
Let l(q) = 1263*q - 17 - 636*q - q**2 - 647*q. Suppose -76 = 6*z - 2*z. Let o be l(z). Solve -5*t + o*r = 14, -t = 6*r - r - 8 for t.
-2
Suppose 81*a - 116 = 46. Solve -9*o - 5*c = -o + 7, a*o - 3*c = 11 for o.
1
Suppose -231*m + 223*m + 40 = 0. Suppose 2*c
|
{
"pile_set_name": "DM Mathematics"
}
|
1 - i = 0 for y.
4
Let b be 129/9 - (-8)/12. Solve b = -5*v - 5 for v.
-4
Let v be 7 - 9/((-18)/(-4)). Solve 20 = 5*t - v for t.
5
Let l(k) = -2*k - 3. Let a be l(-4). Solve -4*g + 3*g = -a for g.
5
Let a(i) = i + 6. Suppose -2*t + 4 + 4 = -4*x, -5*t + x = 7. Let r be t*(1 + 0) + 2. Let z be a(r). Solve -2 - z = 4*p for p.
-2
Suppose 4*a = q - a - 20, q + 4*a = -16. Solve q*r = -r - 5 for r.
-5
Suppose -7*u = -3*u - 60. Suppose 4*b = 2*m + 20, 2*m - u = -3*b + m. Suppose -b*t = -t. Solve 3*v = -t*v - 3 for v.
-1
Let w be 498/4 + (-4)/(-8). Let k = -74 + w. Suppose 2*u = -u + k. Solve 5*h = -2 + u for h.
3
Let u = 5 + -7. Let h be (1 + -1)*u/4. Let l be (4/(-3))/((-2)/6). Solve l*c + h*c = 0 for c.
0
Let w = -9 - -11. Let b be (-10 + 10)*w/(-4). Solve 2 = -2*r - b for r.
-1
Let c = 2 - 3. Let u be (1 - 0) + (-5)/c. Suppose -4*d - 4*k = -4, -4*k = -3*d + u + 4. Solve d*y = -8 - 2 for y.
-5
Suppose -5*b + i - 2*i = -15, 0 = -2*b + 2*i + 6. Suppose 7*d - 1 = -2*q + 2*d, 0 = -q + 5*d - 7. Let j be 1/((4 + q)/4). Solve b = -m + j for m.
-1
Let a = 2 + 4. Solve 0 = 2*f - a*f for f.
0
Suppose -2*o + o + 4 = 0. Let h(j) = j. Let k be h(o). Solve 8 + k = 4*l for l.
3
Let p be 120/(-18)*(-3)/2. Solve -2 = -4*w + p for w.
3
Let m = -12 + -30. Let n be (-6)/4*m/9. Solve -3*c + 1 = n for c.
-2
Suppose -14*x = -17*x + 66. Let h = x + -19. Solve 0 = -3*f - 6 - h for f.
-3
Let f be (-74)/(-26) - (-4)/26. Let w be (-2 + f)/((-3)/(-6)). Suppose -w*b = 2*b - 24. Solve 0 = 2*j + j - b for j.
2
Let z be 6/4 + (-3)/(-6). Solve -z*o + 6 = -4*o for o.
-3
Let p(m) = m**3 - 5*m**2 - 5*m - 3. Let q be (9 + -6)*(-2)/6. Let d(g) = -6*g. Let h be d(q). Let k be p(h). Solve k*l = -2*l for l.
0
Let k(b) = -3*b**2 + b + 1. Let h be k(-1). Let n = h - -3. Suppose -2*c - 6 = -3*j, n = 2*c + 2*c + 4*j - 28. Solve m + 2 + c = 0 for m.
-5
Let v be 3 + 2 + (2 - 2) + 0. Solve 2*x = 1 + v for x.
3
Let q(a) = -a**2 + 7*a + 10. Let t be (2 - 1) + 2 + 1. Suppose -4*v = 3*j - 26, 2*v = t*j - 5*j + 14. Let k be q(v). Solve 2*p + k = -0 for p.
-1
Let i(g) = g**2 + 10*g - 4. Let u be i(-10). Let r be 207/45 + u/(-10). Solve 0 = r*m - m + 4 for m.
-1
Suppose -10 = -5*a, 2 = -l - 2*a + 7. Let f(h) be the third derivative of -h**5/60 + h**3/6 + h**2. Let g be f(l). Solve g*p + 10 = 5*p for p.
2
Let x(l) be the third derivative of -l**4/24 + 11*l**3/6 + 5*l**2. Let j be x(10). Solve -a = 3 + j for a.
-4
Suppose -g = g. Solve g*i = -i + 3 for i.
3
Suppose 8*c + 15 = 11*c. Solve -3*w = -c*w for w.
0
Let m = -68 + 68. Solve m*n - 2*n - 2 = 0 for n.
-1
Let t(p) = 5*p**2 + 5*p - 12. Let m be t(-4). Let d be (-2)/(-4)*-11*-6. Let r = m - d. Solve 0*w = -3*w - r for w.
-5
Let l = -73 + 76. Solve -l*x + 8*x = -25 for x.
-5
Let k = 0 + 21. Let s = k + -7. Solve -6 - s = 5*o for o.
-4
Let k(j) = j**2 + 11*j + 20. Let g be k(-9). Solve 4*o - 5*o + g = 0 for o.
2
Suppose -4*x - 2 = -26. Let i(c) = c**3 - 7*c**2 + 6*c + 5. Let k be i(x). Solve -k*q = -q - 4 for q.
1
Suppose 5*n = -3*t, -2*n = 3*n + t. Solve n*x - 3 = 3*x for x.
-1
Suppose 5*g = 25, -5*w - 18 - 42 = g. Let f(v) = v**2 + 14*v + 18. Let b be f(w). Solve 19 = -b*q + 4 for q.
-3
Let k(p) = 3*p - 3. Let v be k(3). Let i = 0 - -3. Suppose i*x - 2 - 4 = 0. Solve -x*l = -v*l - 12 for l.
-3
Let s(j) = -j**2 - 7*j + 7*j + 2. Let r be s(0). Let m = -2 + r. Solve m*a + 12 = 4*a for a.
3
Let l = 31 + 4. Solve -5*v = 10 - l for v.
5
Suppose -5*c = -0*c. Suppose c*a - a = -2. Solve -a = -4*k + 2 for k.
1
Suppose -3*h + 0*h = 0. Let z(f) = f**2 - 8*f + 1. Let j be z(8). Let v be 0/(-2*(0 + j)). Solve h = -5*q - v*q for q.
0
Suppose 0 = 10*i - 4*i - 6. Solve -5 = 2*x - i for x.
-2
Let w be (4/(-8))/((-2)/(-4)). Let j(g) = g**2 - g - 1. Let x be j(w). Solve -2 + x = -r for r.
1
Let u be 3*((-4)/(-2) - 1). Let r = -1 + u. Let l be ((-15)/6 + 2)*-2. Solve -g - r = -l for g.
-1
Let a = -6 + 12. Let d be (40/a)/((-2)/(-6)). Let r = 75 + -71. Solve 9*b = r*b + d for b.
4
Suppose u = -0 + 1, 0 = 4*l + u + 7. Let f = l - -4. Solve z - 4 + f = 0 for z.
2
Suppose 6 = 2*s - 0. Let p be 2/(-6) + 1/s. Suppose g = -p*g + 5. Solve 0 = -g*a - 15 - 0 for a.
-3
Let o be -1 + 3/(3 - 0). Suppose 21 = 2*g - o*y + y, 2*g + 4*y = 30. Solve 4*r - 7 = g for r.
4
Suppose 6 = x + x - h, -5*x + 17 = -2*h. Suppose -b + 2*s = s + 4, s = x*b. Solve -9 - b = -2*f for f.
5
Let c(z) = 3*z - 18. Let v be c(6). Solve q + 3 + 2 = v for q.
-5
Suppose 10 + 5 = a. Let h = -21 + a. Let z = -3 - h. Solve z*k = 7*k + 16 for k.
-4
Let u be 3/(((-9)/6 + 1)*-2). Solve -8*x = -u*x for x.
0
Let n = 0 - -2. Let r = 70 + -68. Solve o + n = -r for o.
-4
Suppose 5*j - 2*v = 5, v - 6*v = 0. Let q be (20/8)/(j/2). Solve 0 = q*n - 0 + 5 for n.
-1
Let z(o) = o**2 - 2. Let b(p) = p**3 + 13*p**2 + 13*p + 10. Let f be b(-12). Let y be z(f). Solve y*j + 0*j = 0 for j.
0
Suppose 0 = j - 3*g - 21, -5*j + 6*j + 3*g + 9 = 0. Solve -o + j = 10 for o.
-4
Let y be 1*((15 - 2) + 2). Let a = -12 + y. Solve a*r - 4 = -r for r.
1
Let m(o) = o**2 + 6*o - 3. Let x be m(-6). Let z(d) = -d**2 - 4*d - 3. Let c be z(x). Suppose 5*b + 0*b = 80. Solve 0 = -c*a - 4*a + b for a.
4
Let d(z) = z**3 + 6*z**2 - 4*z + 3. Let n be -8 - ((-3)/1 - -1). Let j be d(n). Let t = j + -17. Solve -5*b = -3*b - t for b.
5
Let h(q) = q**2 - 7*q + 6. Let k be h(6). Suppose -4 = -k*t - t. Suppose 3*z - 2*v + 6 = 0, -5*v + 16 = -t*z + 1. Solve z = -2*d - 0*d + 10 for d.
5
Suppose -3*m + 4*h + 26 = 0, 3*m + 2*h - 5*h = 24. Suppose -p - 5*w - m = -0*w, -4*p = 3*w - 10. Suppose -r - 9 = -p*r. Solve 4*d - 5*d - r = 0 for d.
-3
Suppose -12 = -s + 3*h, -3*h - 16 = h. Solve 4*x + 0*x + 16 = s for x.
-4
Suppose s = -s. Suppose -7*u + 0 = -35. Solve -5*v + 5 + u = s for v.
2
Suppose m = s, 0*s - 5*s + m = 12. Let f = 7 + s. Suppose 0 = 5*w + f - 14. Solve 15 = w*u + 5 for u.
5
Let t = 2 - -2. Let z = t + -2. Suppose 2*n = z*j + 6, 3*j = -0*j - 3. Solve n*m + 0 = 6 for m.
3
Let n be (0 - -28)*(-25)/(-100). Solve -n = w - 2 for w.
-5
Suppose -2*k - 15 = -m, 0 = -2*k + k - 3. Suppose 3*y = 4*y - 2. Solve 0 = y*c - m - 1 for c.
5
Let p be (2/3)/(2/69). Solve -3 = -4*j - p for j.
-5
Suppose 0 = -3*r - 3*j + 45, r + j = -2*j + 5. Let y be (2/(-5))/((-4)/r). Let u = 3 + -3. Solve u*d = y*d for d.
0
Let i be (-24)/(-84) - 12/(-7). Solve -4*a = -i*a + 2 for a.
-1
Let y(c) = -5*c**3 + c**2 + c. Let h be y(-1). Suppose 5 + 7 = -n - 3*b, 2*n - h*b = 20. Solve n*k = -4*k + 20 for k.
5
Let q(x) = x - 1. Let m be q(-6). Let d = 11 - 21. Let g = m - d. Solve p = 2 - g for p.
-1
Let w = 13 + -13. Solve w*y + 6 = 3*y for y.
2
Suppose -6*y + 2*y = 0. Let l be y/(-3)*(-2)/(-4). Suppose -21 = 3*f + 5*z - 8, -18 = -2*f + 2*z. Solve t + f - 3 = l for t.
-1
Let l(s) = -11 + 13 + s**2 - s - 2*s. Let q be l(2). Solve 3 = -q*x - 3*x for x.
-1
Suppose 0 = -4*q + 20, -4*j = -3*j - 3*q + 13. Let k = 1 - -6. Let s = k + -4. Solve 10 = -s*h - j*h for h.
-2
Let g = 96 + -78. Solve -20 = -14*l + g*l for l.
-5
Let u = -90 - -121. Solve -u = -5*i - 6 for i.
5
Suppose -4*x + 6 = -x. Let z(v) = -v**2 + 4 - x*v - 5 + 2*v**2. Let p be z(-1). Solve p*u - 4 = -2*u for u.
1
Let s = 6 + -2. Suppose s*o + 6 = 14. Suppose o*l + 5 = 7*l. Solve d + 0 = l for d.
1
Suppose -y + 16 = 3*y. Solve 0 = 3*l + l + y for l.
-1
Let b be (-2)/4*0/(-1). Let z = b - -2. Solve 9 = z*w + 3 for w.
3
Let t be (4/(-2) - 3)/(-1). Suppose -6*u + 4 = -t*u. Solve -b + 0*b = u for b.
-4
Suppose 5*o - 7 = 2*g - 23, 0 = -5*g + 3*o + 21. Suppose 0*n - 12 = -g*n. Suppose -r + 16 = -9*k + 4*k, 3*r - 62 = k. Solve r = 5*j - n for j.
5
Let h be -2*(-1 + 9/(-6)). Suppose 7 = 4*s + 2*c - h*c, 3*s - 6 = 2*c. Solve -s*o = -2*o for o.
0
Let k(y) be the first derivative of 0*y + 1/4*y**4 + 0*y**2 - 1/3*y**3 + 4. Let o be k(1). Solve -i - 4 = -o for i.
-4
Suppose -13 = -3*b + 2*f, 6*b + 4*f - 1 = 3*b. Let h be (1/1)/((-1)/(-2)). Let q(x) = -x**3 + 3*x**2 - 2. Let c be q(h). Solve c*n + b*n = -25 for n.
-5
Let h = -4 + 7. Let f(x) = h*x**2 - 4*x**2 + 10 + 4*x + 2*x. Let w be f(7). Solve w*a - 8 = a for a.
4
Let o = -14 - -9. Let u = 8 + o. Let s(r) = -r**3 - 11*r**2 - r - 4. Let q be s(-11). Solve -u*b + 12 = -q*b for b.
-3
Let i(q) = -q - 3. Let d be i(0). Let g = d - 3. Let v be 3*(-1)/g*10. Solve l + 0*l - v = 0 for l.
5
Suppose -6 = -3*t + 9.
|
{
"pile_set_name": "DM Mathematics"
}
|
cending order.
5, n, j
Let h(b) = b**3 - b**2 - b + 3. Let s be h(0). Suppose -c - 10 = -s*c. Let q be (-1)/4*(-5 + 1). Put -5, c, q in ascending order.
-5, q, c
Let w = -643/5 - -129. Put -2, w, 2/9, -4 in descending order.
w, 2/9, -2, -4
Let k be ((-3 + 5)/10)/1. Let g = -0.37 - -0.07. Sort g, 4, k.
g, k, 4
Suppose -2*a = -0*a - 10. Let t = 2 - 2. Suppose m = -t*m. Put a, m, 4 in decreasing order.
a, 4, m
Suppose -i = -4*i. Let o(h) = -1 - 3*h + 3 + 3. Let q be o(3). Put -5, i, q in ascending order.
-5, q, i
Let u be (-2)/12 - 8551/(-42). Let b = -203 + u. Sort -0.1, b, -0.3 in descending order.
b, -0.1, -0.3
Suppose 3*s - 8*s = -15. Let y be (-10)/(-3) - (-7)/(-21). Suppose y*v = -3*l + 12, -2*v - 4*l = -0*v - 8. Put s, -1, v in descending order.
v, s, -1
Let v = -0.3 + -2.7. Suppose 2*q - 5 = -3*q. Let g be (1 - 2)/(q/(-5)). Put v, 1, g in decreasing order.
g, 1, v
Suppose 2*m + 14 = 4*d, -18 + 0 = -3*d + 3*m. Let n = 48 + -46. Put n, 0, d in increasing order.
0, d, n
Let i(h) = 0*h**2 - 5*h**2 + 3*h + 3*h - h**3 + 5. Let q = 5 - 11. Let x be i(q). Sort -4, 1, x in increasing order.
-4, 1, x
Suppose 5*c = -10 + 5. Let p = 0 - -1. Sort p, c, 5.
c, p, 5
Suppose 3*c = 4*c. Put -5, 1, c in increasing order.
-5, c, 1
Suppose -2*i + 0*i = 8. Let g be (-1 + 3)*(0 - -1). Put i, g, 5 in decreasing order.
5, g, i
Let u = 1 - 1. Let o(k) = k**3 - k**2 + k + 5. Let v(d) = -d**3 - d - 1. Let z(i) = -o(i) - 2*v(i). Let f be z(u). Put -5, f, 1 in decreasing order.
1, f, -5
Let m(b) = b + 7. Let p be m(-5). Suppose 14 = 2*a + p*w, 5*a + 3*w + 0*w - 29 = 0. Suppose 3*z - 1 = 14, 5*i = -a*z + 10. Sort -5, 4, i in decreasing order.
4, i, -5
Let j(l) = l**2 + l + 2. Let v be j(-3). Suppose 0 = q + 7 - 4, -g - v = 3*q. Sort 0, 2, g in ascending order.
0, g, 2
Suppose p - 4*b = -13 + 1, -2*b = 2*p + 4. Sort -5, p, 5 in decreasing order.
5, p, -5
Let o = -6.1 - -6. Let j = 0.5 - 0. Sort j, 5, o in increasing order.
o, j, 5
Let q(d) = d**3 - 12*d**2 - 6. Let u be q(12). Let o = u - -7. Sort -2, o, 2 in increasing order.
-2, o, 2
Let b = 39 + -36. Sort b, -5, -1, 1.
-5, -1, 1, b
Let n(h) = h + 2. Let m be n(3). Let d = 3 + -2. Put m, -5, d in ascending order.
-5, d, m
Let y be ((-10)/(-8))/(1/(-4)). Let u be ((-6)/5)/(-4 - (-74)/20). Sort y, u, -4.
y, -4, u
Suppose -2 = 2*x - 10. Put -5, 1, x in increasing order.
-5, 1, x
Let s = -149/35 + 34/7. Sort s, 0.3, 1/6 in descending order.
s, 0.3, 1/6
Suppose -2*h + 21 = 15. Put h, -2/3, 4/11 in descending order.
h, 4/11, -2/3
Let t = -0.3 + 0. Let g = 0 + t. Let v = -0.4 + -2.6. Put g, 1, v in increasing order.
v, g, 1
Let y(g) = -g**2 - 5*g + 2. Let d be y(-5). Sort d, -2, 6 in decreasing order.
6, d, -2
Suppose -5*d = -d - 4. Let o be 3/(6/(-8)*-2). Sort -1, d, o in decreasing order.
o, d, -1
Let a(r) = -r**3 - 7*r**2 + 7*r - 4. Let k be a(-8). Put 1, k, -4 in decreasing order.
k, 1, -4
Let g = -16 - -13. Put -2, g, -5 in ascending order.
-5, g, -2
Let g be 2/(-2) - (2 + -6). Suppose 11*a = 12*a + 3. Sort g, 0, a.
a, 0, g
Suppose -2*i - 9 = -3. Suppose -4*g + 28 = 2*c, -5*c - 4*g + 15 = -5*g. Put i, 0, c in descending order.
c, 0, i
Suppose 4 = o + 9. Let b = o - -5. Sort 2, b, 4 in decreasing order.
4, 2, b
Let k = -11/9249 - 21383545/120237. Suppose 2*l + 371 = -3*m, -3*l - 3*m = 504 + 45. Let c = l - k. Sort 0.4, c, 1.
c, 0.4, 1
Let b(r) = -r**3 - 7*r**2 + 2*r + 11. Let a be b(-7). Let j be 2/(-4) + 2/(-4). Put a, j, 0 in descending order.
0, j, a
Suppose 2*c = -1 - 5. Let l be ((-4)/5)/((-9)/(-45)). Put l, c, -5 in increasing order.
-5, l, c
Let x = 0.01 - -0.29. Suppose 5*v + 15 = -0*v. Put v, x, 0.4 in descending order.
0.4, x, v
Let i = 46 - 21. Suppose 0 = 6*o - o - i. Put -3, 3, o in descending order.
o, 3, -3
Let u be (1 - 0)/(-1 + -5). Put -2, -6, u in decreasing order.
u, -2, -6
Let b(s) = s + 3. Let d be b(-5). Suppose 13 = 7*v - 1. Sort v, d, -3 in descending order.
v, d, -3
Let g = 77 - 769/10. Let k = 2 - 5/3. Sort 1/7, k, g in descending order.
k, 1/7, g
Suppose 28 = -3*x - 5*w, -4*x + 2*x - 4 = -4*w. Let v = x + 9. Let t be v/(-6)*(1 - -9). Sort t, -3, 0 in increasing order.
t, -3, 0
Let a = -6 - -5.6. Let p = 0.4 - 0.9. Let y = -0.4 - p. Sort y, a, 5 in ascending order.
a, y, 5
Let p = 0.6 - 1.6. Sort -2, 0.5, p.
-2, p, 0.5
Let y be (0 + -1)*(3 - 4). Let r be 4/(-6)*(-60)/(-8). Sort r, y, 10.
r, y, 10
Let a be (2/(-4))/(1 + 25/(-30)). Sort -7, 6, a in ascending order.
-7, a, 6
Suppose 3*u + 2*v - 93 = 0, -4*u + 94 = 2*v - 30. Suppose -5*n + u = -29. Let t be (-6)/(-9) - n/45. Sort -1, -0.4, t in increasing order.
-1, -0.4, t
Let o = -4 - 1. Let v be o + (-2 - (3 - 3)). Let l(n) = -n - 7. Let x be l(v). Put 5, -4, x in descending order.
5, x, -4
Let k(l) = -3*l**3 - 2*l**2 + 4*l - 3. Let h be k(1). Put h, 4, -2 in increasing order.
h, -2, 4
Let y = 4.4 + -4. Let c = -0.0379 - -0.0379. Sort -1, c, y in increasing order.
-1, c, y
Suppose -3*f = 3*q + 36, -2*q + 5*q + 40 = f. Sort 2, -1, q in decreasing order.
2, -1, q
Suppose -j - 3*j = -12. Suppose -1 = -5*b + 4. Put b, j, -3/5 in descending order.
j, b, -3/5
Let n = 0.05 - 3.05. Let v = -7 - n. Let x = 4.95 - 5.95. Put x, 0, v in ascending order.
v, x, 0
Suppose -8 + 22 = 2*y. Let x = y - 11. Sort 1, x, 3.
x, 1, 3
Let v(p) = -4*p + 33. Let o be v(8). Sort 3, 8/5, o in ascending order.
o, 8/5, 3
Suppose -4*m = 3*m - 21. Put m, 0, 4, 1 in ascending order.
0, 1, m, 4
Let k be ((-3)/(-5))/(13/65). Put 0, -4, k in increasing order.
-4, 0, k
Suppose 3 - 2 = -d. Let z be (-2)/8 + 4/16. Sort z, 1, d in decreasing order.
1, z, d
Suppose 0 = 2*v - 5*z - 3, z - 60 = -5*v - 4*z. Let t = v - 4. Suppose 3*o = 5*a - a + 8, 2*o - 4 = 4*a. Sort o, -1, t in ascending order.
-1, o, t
Let v be 3/((-6)/(-8)*-2). Put -33, -4, v in ascending order.
-33, -4, v
Suppose 6 = -b + 2. Let r = b - -4. Put -1, 5, r in ascending order.
-1, r, 5
Let g(y) = 5*y**3 - 2*y**2 + 1. Let m be g(1). Suppose -2*w - 3*w = 5. Suppose -5*h = -h - 4. Put w, m, h in decreasing order.
m, h, w
Suppose -4*w - 12 = -4*b, -5*w - 1 = -b + 6. Suppose 0 = -5*v - b*z - 2*z + 5, -5*z = 0. Put -2/13, v, -5 in increasing order.
-5, -2/13, v
Suppose 5*d = 2*l - 49, 6 = d - 5*l + 2. Let s = d + 9. Let a = -0.1 + 0.1. Sort a, s, -4.
-4, s, a
Let j be (-45)/25*1/3. Let b = -5 - -1. Suppose -5*i - 4*m = -10, -8 - 12 = -4*m. Put b, j, i in increasing order.
b, i, j
Let p = 22 - 22.4. Sort p, -4, -0.3 in ascending order.
-4, p, -0.3
Let y(m) be the third derivative of m**5/60 - 5*m**4/12 - 5*m**3/6 - 4*m**2. Let c be y(10). Sort -3, c, -1 in increasing order.
c, -3, -1
Suppose 5*s = 5, -2*s + 62 = 5*v - 2*v. Sort 0, -3, v in decreasing order.
v, 0, -3
Let v(s) = s + 10. Let q be v(-7). Suppose 2*h = 5 - q. Put 0.04, -3, h in decreasing order.
h, 0.04, -3
Let n = -3 + 8. Let i = n + -6. Sort 3, i, 0.1 in decreasing order.
3, 0.1, i
Let k = -36 - -33.1. Let m = 0.1 - k. Sort -1/3, m, 7 in descending order.
7, m, -1/3
Suppose 15 + 9 = -4*z. Let r(v) = -v + 2. Let w be r(z). Suppose 0 = 3*q + 2 - w. Put 3/4, q, -2 in descending order.
q, 3/4, -2
Let v(f) = 2*f**2 - 3*f + 3. Let x be v(2). Let c be ((-2)/4)/((-3)/(-24)). Sort x, 2, c in ascending order.
c, 2, x
Let y(z) = z**3 - 6*z**2 + 2*z - 2. Let h be y(5). Let o be (2 + (h - -2))*-1. Suppose 0 = 4*f - 20, 2*g + g = 5*f - o. Sort 2, g, -2.
-2, 2, g
Suppose 0 = -0*q - 4*q + 16. Sort 0.5, q, -4 in decreasing order.
q, 0.5, -4
Let l be -4 + 12 + (-1 - 1). Let v = l - 1. Sort -2, 0, v in decreasing order.
v, 0, -2
Suppose 5*f = -3*s - 2, -6*s + 8*s - 4*f - 28 = 0. Sort 1, s, -4.
-4, 1, s
Let o = -6.89 - 0.11. Let k = -6 - o. Sort k, 0.5, -1 in descending order.
k, 0.5, -1
Let o = 1.16 + 0.14. Let x = -6.3 + o. Sort x, -2/7, -4 in ascending order.
x, -4, -2/7
Suppose 3*q - 5*f + 9 = -7, 0 = -4*q - 4*f. Let c(l) = 4*l - 5. Let h be c(2). Sort h, -3, q.
-3, q, h
Let s = 38 - 344/9. Let n be ((-3)/5)/3 - 0. Let v = 163 - 168. Put n, v, s in ascending order.
v, s, n
Let h = -105.5 - -105. Sort h, -2/9, 0.17, 1 in increasing order.
h, -2/9, 0.17, 1
Let b(z) = z**2 - 7*z + 5. Suppose h + 3*u = -8, -7*h + 2*h + u = -40. Let g be b(h). Sort g, -5, -1 in descending order.
g, -1, -5
Suppose 0 = 5*t + 1 - 31. Suppose -2*l + 4*l - 4*j - 28 = 0, l + 2*j + t = 0. Suppose l*m - 11
|
{
"pile_set_name": "DM Mathematics"
}
|
-6752/320845 or -1?
-6752/320845
Do 28437770 and 28437759 have the same value?
False
Are 1 and -2/462879905 unequal?
True
Is 86044 equal to 86059?
False
Do -8/11 and 426783 have the same value?
False
Is 2 less than 13114/15025?
False
Is -0.1050978 equal to -3?
False
Which is greater: -1980682/15 or -132045?
-132045
Is -3172004 at most -3172015?
False
Which is greater: -29810 or -32040?
-29810
Are 17768488/3 and 5922828 non-equal?
True
Which is bigger: -477900 or -477902?
-477900
Is 22.628 at most as big as -62?
False
Which is greater: 374832 or 374598?
374832
Does -25249 = -13895?
False
Is -798/278449 >= 0?
False
Is -1.219 at most as big as -191862?
False
Which is smaller: 888798 or 888741?
888741
Which is smaller: -4 or -3018/775?
-4
Is -58309605 less than -58309604?
True
Is 56407750 at most as big as 56407754?
True
Is -3192488 <= -3192441?
True
Which is smaller: -20638 or 273?
-20638
Which is smaller: 0 or 118/249027?
0
Is 845/33427 less than 1?
True
Is -132.8 at least 41.3115?
False
Which is greater: 17259 or 1782?
17259
Which is bigger: 0 or 64/22517?
64/22517
Which is smaller: 0 or 9123073?
0
Is 5 at least 2045/528?
True
Do 24015357 and -0.1 have different values?
True
Which is bigger: -1530 or -86997?
-1530
Is -55919 smaller than -42401?
True
Which is greater: -48772988/17 or -2868999?
-2868999
Are -195761 and -195726 equal?
False
Which is greater: -18356050 or -49?
-49
Which is greater: 26033/657 or 41?
41
Are -33 and 5.9373 unequal?
True
Which is bigger: -537336 or -537346?
-537336
Is -7998278 equal to -7998308?
False
Which is greater: 8 or 4107661?
4107661
Which is smaller: -1219/22741 or 0?
-1219/22741
Which is smaller: -5353 or -50?
-5353
Is 0 less than or equal to -2/3916484829?
False
Which is bigger: 850274/99 or 8590?
8590
Which is smaller: -9 or -111864/12103?
-111864/12103
Which is smaller: 550622372/3 or 183540792?
550622372/3
Is -488692739 less than -488692739?
False
Is 1 at most as big as -407/34950?
False
Is 26424862 greater than or equal to 0?
True
Which is greater: 3568/15925 or -2/9?
3568/15925
Is -1/5 >= -13400366?
True
Which is greater: 0 or -104/3161555?
0
Which is smaller: 14800 or 14792?
14792
Is 0 >= -2/281414687?
True
Which is greater: -164194 or -164185?
-164185
Which is smaller: 6194 or 729?
729
Which is smaller: 17219303 or 17219304?
17219303
Do -1549881 and -1549856 have the same value?
False
Is 151856342 smaller than 151856342?
False
Which is greater: 466 or 1/52247?
466
Is 6 equal to -2322505?
False
Is 2682 at least as big as 3230?
False
Is 7841939 at most as big as 7841960?
True
Is 485 greater than or equal to 482884?
False
Which is smaller: 26414545 or 26414546?
26414545
Is -1 greater than -1/529550345?
False
Is 95/162968 greater than 1?
False
Is 2/13 smaller than -137869?
False
Which is smaller: -1 or 147/4665001?
-1
Is 4 less than 30/97739?
False
Which is smaller: -85303/660 or -128?
-85303/660
Is 3/19 bigger than 79.40772?
False
Which is greater: -42 or 12/385057?
12/385057
Which is smaller: 0 or 4/22778165?
0
Which is bigger: 1/17 or 69270.2?
69270.2
Is 663220 greater than or equal to 663119?
True
Is -59 > -5298?
True
Which is bigger: 11308976 or 11308977?
11308977
Which is greater: -1385098/51 or -27158?
-27158
Is 1 less than or equal to 4/33103441?
False
Which is greater: -170 or -19099/113?
-19099/113
Is -15038973 at least -15039081?
True
Is 3892751/15 > 259516?
True
Is -1984987 bigger than -63519589/32?
True
Is 9831645 < 9831663?
True
Is 0 > -9/122638?
True
Is 6972989/2 smaller than 3486494?
False
Is 424500 greater than -19?
True
Which is smaller: -1 or 399/7992659?
-1
Which is smaller: -983177406 or -983177407?
-983177407
Which is smaller: 10/129 or -21314?
-21314
Is -4473/1068772 at most as big as 1?
True
Is -2/5 smaller than 11083313/2?
True
Is -122228 > -122241?
True
Which is smaller: 410476 or 410151?
410151
Are -866 and 57932 equal?
False
Are -1507236 and -205 non-equal?
True
Which is bigger: -3571563/386 or -9254?
-3571563/386
Is -133006 less than or equal to -132970?
True
Is 307 greater than -845/88?
True
Is -2/11 smaller than 403/135384?
True
Is -1860 > -3322?
True
Is 1/65463709 < 0?
False
Which is bigger: 0 or -4/24420547?
0
Is -2723797 at most -2723845?
False
Is -40.75528 at least as big as -3/5?
False
Which is smaller: 1772013 or 40?
40
Is 0.811 != -258422?
True
Which is bigger: -47989/3 or -9/23?
-9/23
Are -187215352 and -187215352 equal?
True
Is -133/162123 != 1?
True
Is -3381 >= -6566?
True
Is -0.06 greater than or equal to -2098.0098?
True
Is -3974 greater than 3846?
False
Are -13217 and -14078 non-equal?
True
Which is greater: 24414 or -47?
24414
Does -537/160024 = 1?
False
Is -12/1204189 greater than 1?
False
Is 10 < 1331420?
True
Is 2753448 at least as big as 2753448?
True
Is 43584 less than or equal to 44135?
True
Which is bigger: 1 or 9687/11303?
1
Is 1605/1490942 less than -1?
False
Are 81960 and 85681 nonequal?
True
Which is smaller: -0.00995 or 14456?
-0.00995
Is -416.9 less than or equal to 17/61?
True
Which is bigger: -80300/27051 or -4?
-80300/27051
Is 33596884/19 at most 1768257?
False
Is 1/2 <= 16.22565193?
True
Is 795 less than or equal to 4649?
True
Is 2290 bigger than -0.24068?
True
Which is greater: -7935/62 or -129?
-7935/62
Is 89832199 greater than or equal to 628825385/7?
True
Is 121985 != 121533?
True
Are 5174/149 and -0.23 equal?
False
Which is bigger: 2/6307649 or 1?
1
Is -20244 smaller than -8143?
True
Is 0.9378127 bigger than -1?
True
Is -197730/15763 less than -13?
False
Is -38 greater than or equal to -175946?
True
Which is bigger: -907509/7 or -3/2?
-3/2
Which is greater: 0 or 2/37649155?
2/37649155
Is 4389808 greater than 4389810?
False
Does 1183950418 = 1183950419?
False
Which is smaller: -2187 or 1/2070?
-2187
Is 250205/2 less than or equal to 2/5?
False
Which is greater: -2 or 1183499?
1183499
Which is bigger: -4128 or 38073?
38073
Which is greater: -49 or -405/329?
-405/329
Which is bigger: 38/987 or 63/22?
63/22
Is 32/20962697 <= -1?
False
Are -1805849 and -1805849 non-equal?
False
Is -178194 not equal to 2/75?
True
Is -1/3 greater than -1208.37623?
True
Is 2/63335627 at most 0?
False
Is -247/107313 at least -1?
True
Which is smaller: -16935/11521 or -1?
-16935/11521
Is -4.74 less than or equal to -12088?
False
Which is greater: 2 or 1136/1753?
2
Which is greater: 1/16864268 or 0?
1/16864268
Which is smaller: 0 or -5475/58903?
-5475/58903
Which is greater: 0.03806 or -1.2442?
0.03806
Which is bigger: 821/103794 or 0?
821/103794
Which is greater: -1.8 or -12019623?
-1.8
Is 3432/24491 greater than 0?
True
Which is smaller: 20789 or 20616?
20616
Which is smaller: 28 or -0.136697?
-0.136697
Are 5975757 and 5975755 unequal?
True
Which is smaller: -10/339263127 or 0?
-10/339263127
Is 465699098/7 equal to 66528443?
False
Is 364874 != 364802?
True
Which is greater: -111516626 or -111516624?
-111516624
Is 2909372 less than or equal to 2909375?
True
Is -86073 greater than or equal to -86074?
True
Which is bigger: -3/14347099 or 1?
1
Which is smaller: 1 or 6/4294493?
6/4294493
Which is greater: 31454/735 or 42?
31454/735
Does 1 = -4/30629901?
False
Are -167728543 and -167728548 unequal?
True
Are -0.2 and -1052866 unequal?
True
Is 1 at most as big as 54/30863447?
False
Are 20480/4541 and 4 nonequal?
True
Are -13926075 and -13926074 non-equal?
True
Is 425490 < -41?
False
Is -598.23 greater than -0.086?
False
Does -8/50917 = -8.9?
False
Which is bigger: -44708547 or -44708543?
-44708543
Is -5439789 greater than or equal to -5439792?
True
Which is bigger: 17.55028 or -0.4?
17.55028
Which is bigger: -1274881/30 or -42495?
-42495
Are -139.064 and 0.071 equal?
False
Is -39 less than -22244/559?
False
Which is greater: -98355062/25 or -3934203?
-98355062/25
Are 79 and 94373/1174 equal?
False
Is -67897 less than -67392?
True
Is 8922160 greater than or equal to -0.061?
True
Is 1339 >= 2674?
False
Is 596440 < 596533?
True
Is -2958 >= -1444?
False
Is -76/11 < 28494?
True
Which is smaller: 1380352 or 1380345?
1380345
Is 237355 less than or equal to -37?
False
Does 2592/1901 = 1?
False
Which is smaller: 4/6309105 or 0?
0
Do 52870729 and 52870733 have the same value?
False
Is -566958335 smaller than -566958336?
False
Is -82590254 not equal to -3/2?
True
Is -2003058263
|
{
"pile_set_name": "DM Mathematics"
}
|
t derivative of -i**4/12 + 157*i**3/9 + 320*i**2/3 + 644*i/3 - 4651. Factor z(g).
-(g - 161)*(g + 2)**2/3
Find n, given that 3599/9*n + 1/9*n**3 + 3481/9 + 119/9*n**2 = 0.
-59, -1
Find t such that -50/21*t**4 - 80/21 + 130/21*t**2 - 130/21*t**3 + 134/21*t - 4/21*t**5 = 0.
-8, -5, -1, 1/2, 1
Suppose -j + 3*r = -8, 4*j + 5*r + 17 = 2*j. Let k be j/(-12) - (-20)/(-10) - -2. Factor -1/12*z**2 - 1/6*z + 1/6*z**3 + k*z**4 + 0.
z*(z - 1)*(z + 1)*(z + 2)/12
Let p(r) be the first derivative of -3*r**2 - 3/2*r**4 + 48 + 3/10*r**5 + 3/2*r + 3*r**3. Determine y, given that p(y) = 0.
1
Let y(r) be the second derivative of -7*r + 1/48*r**4 + 19/24*r**3 + 9/4*r**2 - 26. Find g, given that y(g) = 0.
-18, -1
Let o(z) be the third derivative of 73*z**2 + 0 + 10/3*z**3 - 1/10*z**5 - 13/12*z**4 + 1/12*z**6 + 0*z + 1/105*z**7. Factor o(w).
2*(w - 1)**2*(w + 2)*(w + 5)
Factor -15/4 + 1/8*x**2 - 1/8*x.
(x - 6)*(x + 5)/8
Factor 5135*x + 328*x**2 + 2*x**3 - 627 - 27*x**3 - 3968*x**2 - 843.
-5*(x - 1)*(x + 147)*(5*x - 2)
Suppose 3*p = 6, 0 = h + 7*p - 2*p + 2. Let c be (-5*h/(-210))/((-2)/14). Find f, given that -3*f**3 + 2*f**2 + 6 - f**4 + 2*f**c - 13*f + 3*f**2 + 4*f**3 = 0.
-3, 1, 2
Let k(j) be the second derivative of j**7/7560 + j**6/1080 + 65*j**4/6 + 13*j - 8. Let h(g) be the third derivative of k(g). Factor h(l).
l*(l + 2)/3
Let t(f) = -14*f + 27. Let k be t(0). Determine c so that k*c**3 - 3*c**2 + 103*c**4 - 106*c**4 + 102*c**2 + 105*c + 36 = 0.
-1, 12
Let u(k) = -4*k**3 - 2*k - 2. Let n be u(-1). Let x(f) = f**3 - 5*f**2 + 6*f - 2. Let r be x(n). Factor -2*w**2 + r*w**2 - 3*w**3 - w**2.
-3*w**2*(w - 1)
Let y(w) be the third derivative of 1 + 0*w**4 - 1/4*w**5 + 0*w**3 + 11/120*w**6 + 3*w**2 - 13/1050*w**7 + 1/1680*w**8 + 0*w. Factor y(h).
h**2*(h - 5)**2*(h - 3)/5
Factor -963*v**2 + 1580*v**2 + 45 + 19 - 780*v**2 + 94*v + 5*v**3.
(v - 32)*(v - 1)*(5*v + 2)
Let m = 1186283/3 + -395425. Factor 2/3*z + m*z**4 - 2*z**2 + 0 + 0*z**3.
2*z*(z + 1)*(2*z - 1)**2/3
Suppose -r - 21 = -57. Suppose -37*z + 28*z = -r. Let 22/17*a**z + 104/17*a**2 + 92/17*a**3 + 0 + 16/17*a = 0. What is a?
-2, -2/11, 0
Let g(w) be the third derivative of w**6/300 - 4*w**5/75 + w**4/4 + 218*w**2. Determine a so that g(a) = 0.
0, 3, 5
Let k = 4116684/5 + -823336. Let i = -30/13 - -163/65. Find r such that 0 + k*r**2 + 0*r - i*r**3 = 0.
0, 4
Let q(d) = 10*d**2 + 755*d - 705. Let j(r) = r**2 - 2*r + 5. Let t(w) = 15*j(w) - q(w). Let t(s) = 0. Calculate s.
1, 156
Let c = 506/43 - 60677/5160. Let u(k) be the third derivative of 0*k + c*k**5 + 28*k**2 - 7/6*k**3 + 5/48*k**4 + 0. Factor u(y).
(y - 2)*(y + 7)/2
Let y = 127/2 + -349/14. Let c = 272/7 - y. Determine z so that -10/7*z - 12/7 - c*z**2 = 0.
-3, -2
Let r(v) = -163*v - 98. Let b be r(-8). Let p = -13265/11 + b. Suppose -2/11*f**5 - p*f**2 + 2/11*f**3 + 0*f + 0 + 1/11*f**4 = 0. What is f?
-1, 0, 1/2, 1
Let -1728*d**2 - 396*d**4 + 649*d**3 + 615*d**3 + 2*d**5 - 6*d**5 + 204*d**4 = 0. Calculate d.
-54, 0, 2, 4
Let u(q) be the third derivative of 7*q**6/120 + 8*q**5/5 + 105*q**4/8 - 49*q**3/3 - 521*q**2 + q. Factor u(x).
(x + 7)**2*(7*x - 2)
Let k(r) be the second derivative of r**8/40320 + r**7/15120 - r**6/720 + 39*r**4/4 + 2*r - 13. Let f(u) be the third derivative of k(u). Factor f(t).
t*(t - 2)*(t + 3)/6
Let q(n) be the third derivative of -n**8/1176 - 2*n**7/245 - n**6/84 + 8*n**5/105 + n**4/7 - 16*n**3/21 + 2*n**2 - 803*n. Let q(w) = 0. Calculate w.
-4, -2, 1
Let j(n) be the first derivative of -2*n**3/15 - 10*n**2 + 208*n/5 - 4190. Let j(o) = 0. Calculate o.
-52, 2
Suppose 0 = 18*z + 6*z - 72. Factor -25407*b**3 - 3*b**4 - b**4 - 32*b**2 + 25443*b**z.
-4*b**2*(b - 8)*(b - 1)
Let d = -23/297 + 2447/4752. Let z(b) be the first derivative of d*b**4 - 2*b + 15 - 5/2*b**3 + 9/2*b**2. Let z(r) = 0. What is r?
2/7, 2
Suppose -s - 20 = 5*v, 0 = -s - 76*v + 77*v + 4. What is n in -2*n**2 - 3/4*n**4 - 11/4*n**3 + s + n = 0?
-2, 0, 1/3
Let d(z) be the first derivative of 2*z**5/5 + 15*z**4/2 + 24*z**3 - 256*z**2 - 1536*z + 5783. Factor d(u).
2*(u - 4)*(u + 3)*(u + 8)**2
Suppose -22*z - 25728 = 73*z - 162*z. What is l in z + 3/2*l**4 - 48*l**2 + 48*l**3 - 384*l - 3/2*l**5 = 0?
-4, 1, 4
Let j(n) = 33*n**3 + 121*n**2 - 315*n + 62. Let d(v) = 5*v**3 - v**2 + v - 2. Let w(q) = -10*d(q) + 2*j(q). Factor w(l).
4*(l - 2)*(l + 18)*(4*l - 1)
Factor 1020*o - 13200 - 3/4*o**3 - 3*o**2.
-3*(o - 20)**2*(o + 44)/4
Let r(b) = -11*b**2 - 15*b + 3. Suppose 7*v + 56 = 3*v. Let t(g) = 25*g**2 - 8*g + 1 + g - 51*g**2 + 21*g**2. Let o(n) = v*t(n) + 6*r(n). Factor o(m).
4*(m + 1)**2
Let k(d) be the first derivative of d**5/45 + 23*d**4/12 + 43*d**3/3 + 63*d**2/2 + 5897. Factor k(g).
g*(g + 3)**2*(g + 63)/9
Let s(m) be the first derivative of 0*m + 0*m**2 - 1/36*m**6 + 7/24*m**4 + 0*m**5 + 3 + 1/3*m**3. Find y such that s(y) = 0.
-2, -1, 0, 3
Find l, given that 13*l**3 - 4*l**3 - 189*l**2 - 1350 + 432927*l**4 - 1065*l - 432924*l**4 = 0.
-5, -2, 9
Let h(k) be the first derivative of 5*k**6/2 - 146*k**5 + 2505*k**4/2 - 12380*k**3/3 + 11775*k**2/2 - 3690*k - 201. Solve h(o) = 0 for o.
2/3, 1, 3, 41
Let g = -18 + 22. Suppose -i + 5 = g. Suppose 2*u + 12*u**2 - i - 19 + 45*u + 9*u = 0. Calculate u.
-5, 1/3
Suppose -2759*g = -2761*g. Let s(q) be the second derivative of -7*q**3 - 1/10*q**5 + 8/5*q**4 + g - 10*q**2 - 35*q. Factor s(a).
-2*(a - 5)**2*(5*a + 2)/5
Suppose 0 = -87*m + 82*m - 45. Let c be (m/6)/(1/((-2)/12)). Factor 0 - 5/2*t + c*t**2.
t*(t - 10)/4
Suppose -774/17*r + 232/17*r**2 - 1620/17 - 14/17*r**3 = 0. What is r?
-10/7, 9
Let j = -80562/13 + 161189/26. Determine u, given that -1/2*u**2 + 0 + j*u = 0.
0, 5
Let t(x) be the third derivative of x**5/24 + 515*x**4/48 + 1417*x**2. Let t(z) = 0. Calculate z.
-103, 0
Let v(d) = -11*d - 64. Let j be v(-7). Let -3*b**3 + 43*b**2 - j*b**2 - 591 + 591 = 0. Calculate b.
0, 10
Find y such that -5*y**3 - 137*y - 413 + 792 - 3*y**3 - 379 - 1097*y**2 = 0.
-137, -1/8, 0
Factor 73*s**5 + 3*s + 3*s**4 - 3*s**2 - 38*s**5 - s - s**3 - 36*s**5.
-s*(s - 2)*(s - 1)**2*(s + 1)
Let z(c) be the first derivative of 5*c**3/3 - 195*c**2 - 1654. Factor z(o).
5*o*(o - 78)
Suppose 16/5 + 2/5*b**4 - 16/5*b**3 + 42/5*b**2 - 44/5*b = 0. Calculate b.
1, 2, 4
Let f(n) be the third derivative of 0*n**3 + 0*n + 1/600*n**6 + 0*n**4 + 7/100*n**5 + 0 - 27*n**2. Factor f(d).
d**2*(d + 21)/5
Let x be ((-3312)/288)/(2 + 1 - (-2 + 7)). Factor 7/4*r**2 - x*r + 3/2.
(r - 3)*(7*r - 2)/4
Factor -11 + 3/2*x**2 - 263/4*x.
(x - 44)*(6*x + 1)/4
Suppose 606*c**2 - 7*c**3 + 293*c**2 + 4*c**3 + 70*c**2 - 18638 + 96401 - 78729*c = 0. Calculate c.
1, 161
Let u = 179297/5 + -35859. Factor u*y**2 + 32/5 - 34/5*y.
2*(y - 16)*(y - 1)/5
Let p(n) be the first derivative of -3*n**4 + 56*n**3 + 50*n**3 - 69*n - 168 - 39 - 11*n**3 - 102*n**2. Factor p(b).
-3*(b - 23)*(b - 1)*(4*b + 1)
Suppose 5*w = -5*y + 20, -4*w + 16 = -487*y + 489*y. Let c(r) be the third derivative of y*r**3 + 0 - 11*r**2 - 1/12*r**4 + 1/30*r**5 + 0*r. Factor c(a).
2*a*(a - 1)
Let k(m) = -2*m**2 + 2*m + 1. Let x be k(3). Let t be (-99)/x - (-4 + 8 + 1). What is n in n**3 + 1/3*n**t - 1/3*n**5 + 0 - 2/3*n - 1/3*n**2 = 0?
-1, 0, 1, 2
Let b(x) be the second derivative of -x**5/20 + 487*x**4/15 - 12623*x**3/2 - 7605*x**2 - 72*x - 1. Factor b(f).
-(f - 195)**2*(5*f + 2)/5
Let n(x) be the first derivative of -4*x**3/3 - 66*x**2 - 728*x - 2036. Factor n(k).
-4*(k + 7)*(k + 26)
Determine w, given that -2/9*w**2 - 436/9 - 146/3*w = 0.
-218, -1
Let h(f) be the first derivative of -3/2*f**4 + 8/3*f**3 - 76 + 12*f + 13*f**2. Let h(b) = 0. Calculate b.
-1, -2/3, 3
Find f, given that -450*f**2 + 2*f**4 + 21*f**3 + 127900*f - 270 - 127225*f + 4*f**3 + 18*f**4 = 0.
-6, 3/4, 1, 3
Let k(r) be the third derivative of r**7/1155 - 3*r**6/220 + r**5/30 + 7*r**4/44 - 2*r**2 + 2*r - 582. Solve k(p) = 0.
-1, 0, 3, 7
Let u be (6/(-4))/(27/(-360)). Solve -4*z**2 + 5*z**5 - 40*z + 35*z**3 - 20 + u*z**4 + 5*z**4 - z**2 = 0 for z.
-2, -1, 1
Let t(p) = 11*p + 145. Let c be t(-13). Suppose 2*n**3 + 7*n**4 + 8*n**2 - 12*n - 6*n**4 - 3*n**4 - 4*n + c*n**3 = 0. What is n?
-2, 0, 2
Factor -72/5 - 3*h**3 - 222/5*h - 111/5*h**2.
-3*(h + 3)*(h + 4)*(5*h + 2)/5
Solve 20*u**5 - 128*u - 52*u**4 - 5*u**3 - 32*u**3 - 3823819*u**2 - 11*u**3 + 38
|
{
"pile_set_name": "DM Mathematics"
}
|
to m*l + s + x*l**3 + n*l**2 and give n.
1
Express (-2 + 3 - 2)*(1001 - 1001 + 50*t)*(25*t + 0 + 1 - 29*t) as u + j*t + g*t**2 and give g.
200
Express 408*h**3 - 816*h**3 + 406*h**3 - 161*h**2 - 7*h**2 in the form j*h**3 + a*h**2 + k*h + w and give a.
-168
Rearrange (-228 - 33 - 49)*(-3 + 1 + 0)*(b + 2*b - 2*b) to f*b + d and give f.
620
Express 15*b - 49*b + 21*b + 100 + 21*b as f + j*b and give j.
8
Express 6*m**2 - m**2 + m**2 + (-8*m + 4*m - 13 + m)*(-2*m - 3*m + 2*m) in the form i*m + d*m**2 + o and give d.
15
Express -y + 3*y**4 - 2 + y + 2*y**2 - 10*y**3 + 2*y + 4*y**3 + 5*y**3 in the form m*y + i*y**2 + z*y**3 + t*y**4 + h and give m.
2
Rearrange 5*g + 11 - 4*g + 0 - 3*g to o + f*g and give o.
11
Rearrange (-15*s - 2*s + 2*s)*(4 - 4 + 2) + (2 + 1 - 5)*(-2*s + 4*s - s) to the form p*s + f and give p.
-32
Express 27*w - 22 + 18 + 8 in the form g*w + j and give g.
27
Rearrange -30*n**2 - 51*n**2 - 5*n**2 + 2*n to u + d*n + j*n**2 and give j.
-86
Express d**4 + 1 + 28*d**2 - 24*d**2 - d**3 - 23*d**2 + 0*d**3 as b*d**2 + r*d + o*d**3 + t + c*d**4 and give b.
-19
Express (x - 2*x + 5*x)*(3*x - 6*x + 4*x)*(-9 - 269 + 75) as b*x**2 + n + d*x and give b.
-812
Express (-2 - 1 + 0)*(3 + 3 + 2)*(1 - 1 - 2*g) in the form a + t*g and give t.
48
Rearrange 3*l**3 + 0*l**3 + 0*l**3 + 65*l**2 - 121*l**2 to the form t*l + z*l**3 + c*l**2 + f and give z.
3
Rearrange (-3*h**2 + 2*h**2 - h**2)*(-2 - 5*h**2 + 2) + (-2 + 2 - 2*h**3)*(195*h - 172*h - 94*h) to g + y*h**3 + i*h**2 + l*h + z*h**4 and give z.
152
Express r + 3*r**2 - 2 - 4*r - 7*r - 2*r**3 - r as j*r**2 + t*r**3 + i*r + n and give j.
3
Rearrange (-5 + 5 + z)*(-5 + 5 + 2) - z + 0*z + 0*z + (-2*z + 3*z + z)*(44 + 255 - 34)*(0 - 1 + 0) to d*z + f and give d.
-529
Express 391*s - 113*s - 142*s - 98*s - 90*s as n*s + i and give n.
-52
Rearrange -208*a + 232 - 309*a - 193*a - 232 to the form b + w*a and give w.
-710
Rearrange -37 - 5*r**3 + 37 + (2 - r - 2)*(-r**2 - 6*r**2 + 3*r**2) - 9*r**3 + 33*r**3 + 4*r**3 to the form k*r**2 + i*r + j + y*r**3 and give y.
27
Rearrange 2*a**3 + 8240 - a**4 - 8222 + 4*a + 5*a to x*a**4 + l*a**2 + u*a**3 + j + s*a and give s.
9
Express (-8918*m + 1 - 11513*m - 3802*m - 1)*(0 + 2*m + 0) as c*m + g*m**2 + i and give g.
-48466
Rearrange 3*h**2 + 9*h**4 - h**3 - 54498 - 4*h**2 + 54488 to n*h**4 + i*h**2 + p*h + x*h**3 + u and give u.
-10
Rearrange -490*g + 247*g + 244*g + 597 to j + b*g and give b.
1
Rearrange -2*s + 234 - s**3 + 0*s - 22 to i*s**3 + m*s + c + g*s**2 and give g.
0
Rearrange 5*g - 18159*g**3 + 6 + 18160*g**3 + 19*g**2 - 4 to the form d*g**2 + c*g + x + w*g**3 and give c.
5
Rearrange 7*s**2 - 5970*s - 8*s**2 - 1 + 5972*s - 227*s**3 to h*s**3 + d*s**2 + t + p*s and give t.
-1
Rearrange 0*k**3 - 2*k - 1 + 3*k**4 - k**2 + k**3 - 1 - k**2 to p + w*k**4 + b*k + n*k**2 + c*k**3 and give w.
3
Rearrange (2*g**2 + 2*g**2 - 3*g**2)*(0*g + 4*g - 2*g)*(-113 + 514 - 126) to the form h + y*g + q*g**3 + i*g**2 and give q.
550
Rearrange -4*l - 4*l + 2*l - 7 + 1 - 5*l to the form r + v*l and give r.
-6
Express 58*l + 7 + 3 - 7 - 5 as h*l + j and give h.
58
Express 38*j - 57 + 42*j - 124*j + 40*j + 3 in the form y*j + u and give y.
-4
Rearrange (9 + 1 - 4)*(2*v - 3*v - 2*v) + 33 - 33 + 10*v to x*v + t and give x.
-8
Express -12*p - 17*p + 27*p + 3*p - 4*p + 0*p + (0 - 2*p + 0)*(-1 + 0 + 3) as c*p + v and give c.
-7
Express (-7*k - 11*k + 0*k)*(-k - 15 + 8 + 5) as n*k**2 + l + g*k and give g.
36
Rearrange -40*o**2 + 4*o**2 + 20*o**2 - 17 to z + g*o**2 + x*o and give z.
-17
Express 73*c - 144*c + 89*c - 665*c as v*c + b and give v.
-647
Rearrange (1 + 1 - 4)*(-b + 5*b + 7*b) + 1 - b - 1 + (0 - 4 + 3)*(b - 4*b + b) to the form c*b + v and give c.
-21
Rearrange 7 + 24 + 2423*p - 44 + 13 to h + m*p and give m.
2423
Express -208*r - 1608*r - 95*r in the form b + u*r and give u.
-1911
Rearrange -2 + 54*m + 6*m**2 + 2*m**3 + 19*m**2 - 15*m**2 to the form z*m**2 + v + d*m**3 + q*m and give d.
2
Rearrange (-3*i + 4 - 4 - 2*i + 2 - 2 + (0*i + i - 4*i)*(1 - 2 - 1) + i + i - 3*i + (i + 2*i - 2*i)*(-1 + 4 - 4))*(-2 + 0 + 6) to b*i + u and give b.
-4
Express 3 - 1 - 1 + 2*l + (216*l - 288*l - 270*l)*(-2 + 5 - 1) in the form h + x*l and give x.
-682
Express -36*k + 1945*k**2 - 4*k + 40*k as w*k**2 + v + q*k and give w.
1945
Rearrange 292*h - 832*h**2 + 293*h - 585*h to the form n*h**2 + l*h + a and give a.
0
Express -w**4 + 15*w**4 + 7*w - 2 - 4*w**3 - 7*w + 2*w**3 in the form y*w + a*w**3 + m*w**2 + b*w**4 + g and give a.
-2
Express (4*p**2 - 4*p**2 + p**3)*(1 - 3 + 1) + 100*p - 11 - 4*p**3 + 19 - 102*p + 6*p**2 as f*p**2 + q*p + i + c*p**3 and give c.
-5
Express (5*d + 8*d - 16*d)*(-116 + 116 + 26*d) + 6 - 5*d**2 - 6 as v*d + q*d**2 + s and give q.
-83
Express n**2 - 57 + 28 + 30 + 37 as j*n**2 + g*n + c and give c.
38
Express (-436 - 76*g + 436 + (0 - 1 - 3)*(-5*g + g + 0*g))*(-2*g + 2*g - g**3) in the form y*g + n*g**3 + f*g**2 + o*g**4 + x and give o.
60
Rearrange 16*k**2 + k - 11*k**2 + 1 - 6*k**2 - 15*k**2 - 11*k**2 to the form v*k**2 + r*k + i and give i.
1
Express (-x**2 + x**2 - x**2)*(-3 - 4 + 4) + (2*x + 2*x - x)*(3 + 4*x - 3) + 2*x**2 - 4*x**2 + 3*x**2 - 3*x as t*x + i + a*x**2 and give t.
-3
Rearrange 60 + 48*q - 58 + 3*q to a + r*q and give a.
2
Rearrange 222*q + 225*q + 222*q + 11 - 665*q to z*q + j and give j.
11
Express 423*g + 4 - 11 + 6 + 0 + 0 in the form r + h*g and give h.
423
Rearrange -558*o**2 + 117*o**2 - 99*o**2 to the form w*o + l + k*o**2 and give k.
-540
Express (-1 + 0 - 1)*(2 + 3 - 3)*((3 + 5 - 2)*(0*z + z + 0*z) - 4 - 3*z + 4) + 5 + 4*z - 5 + (3*z - 2*z + 0*z)*(4 - 3 - 2) as n + h*z and give h.
-9
Rearrange -2*r**2 - 32*r + 361 + 374 - 737 to h + l*r + j*r**2 and give j.
-2
Express -210 - 7 + 84 - 2*i - 182 in the form r*i + s and give s.
-315
Rearrange (-4*c - 11 + 11)*(-11 + 0 - 6 + (-2 + 1 - 1)*(-2 + 2 - 1) + 8 - 4 - 7)*(-1 + 1 + 1) to q*c + z and give z.
0
Express -457*u + 142*u + 110*u in the form z*u + l and give z.
-205
Express (y - 2*y - y)*(15 - 15 + 14*y) - 5*y**2 - y**2 + 4*y**2 + (2 - 4 + 1)*(y - y + y**2) + 2 - 2 + 2*y**2 in the form f*y**2 + i + k*y and give f.
-29
Rearrange 2*n - 9*n**3 + 24*n**2 - 10*n**3 - 36*n**2 + 25*n**2 to c*n**2 + l*n**3 + a + g*n and give l.
-19
Express -74*q - 13*q + 14*q + 5*q - 53*q as a + p*q and give p.
-121
Rearrange (4*c - 4*c - 2*c)*(-c + 0*c + 2*c)*(103*c**2 - 346*c**2 - 234*c**2) to the form v*c**4 + h*c + s*c**3 + r*c**2 + p and give p.
0
Express (-1084 + 1084 + 303*v)*((6 - 2 - 3)*(-2 + 2 - 2) - 1 - 5 + 1)*(3 + 2 - 3)*(-3 + 1 + 0) in the form a*v + b and give a.
8484
Express -75*u**2 - 7 - 11 + 4 - 2*u + 73*u**2 in the form s + i*u**2 + t*u and give i.
-2
Rearrange -287*w - 210*w + 320*w + 0*w - 2*w + 3*w - 3*w - 2*w + 3*w + (4*w + w - 3*w)*(1 - 5 + 3) - 2*w + 1 - 1 - 6*w + 5*w + 2*w to z + f*w and give f.
-181
Rearrange 4 - 4 + 2*z**2 - 41*z**3 - 274*z + 274*z to w*z + g + j*z**2 + i*z**3 and give g.
0
Express -5 - 8 - 3*a**3 + 33*a**4 + 6 - 27*a**4 + 4*a**2 + 2*a**3 as r*a**2 + q*a + i*a**3 + c + t*a**4 and give c.
-7
Rearrange 122*g + 42*g + 1 - 3 to the form r*g + k and give k.
-2
Rearrange (-5*i**2 - 2*i**2 + 6*i**2)*(0 + 0 - 4) + (-9*i + 9*i - 12*i**2)*((-2 + 0 + 4)*(-2 + 5 - 2) + 2 - 2 + 2) to m*i + v*i**2 + r and give m.
0
Express 34016 + 3*b + 0*b**3 - b**3 - 34038 as i*b**3 + g*b + n*b**2 + u and give u.
-22
Express (4*h**2 + 2*h + h**3 + h**2 - 2*h**2)*(4 - 4 - 7*h + (3 - 5 + 1)*(4*h - 2*h + 0*h)) in the form s*h**4 + f*h**2 + o + x*h**3 + j*h and give f.
-18
Express 3*g**2 + g**2 - 2*g**2 + (-11 - 25 - 19)*(-g**2 - 2*g + 2*g) as p + n*g + a*g**2 and give p.
0
Rearrange (6 - 6 - w**2)*(-2 - 1 + 2) + (-14*w**2 + 8*w**2 - 12*w**2)*(-1 + 1 - 2) to y + c*w**2 + r*w and give c.
37
Express -84*l**2 - 7*l + 26*l + 3*l**3 - 9*l - 11*l as u*l**3 + t*l + q*l**2 + h and give t.
-1
Rearrange -108*x**4 - x - x + 203*x**4 + 4 - 109*x**4 - 6*x**3 to v*x**3 + i*x**4 + m*x + g + t*x**2 and give g.
4
Rearrange (-18 + 6*z + 18 + (z - 3*z - 2*z)*(2 + 2 + 0) - 2*z + z - 2*z + (5 - 4 - 3)*(4*z + 0*z - 3*z))*(-2*z + 3*z + z) to s + b*z**2 + a*z and give b.
-30
Express (2 + 2 - 3 + (1 + 0 - 3)*(3 - 1 + 0))*(r + r - 4*r)*(-7 + 2 - 26) in the form w*r + q and give w.
-186
Rearrange (2*r + 3*r + r)*(-71 - 22*r + 71 +
|
{
"pile_set_name": "DM Mathematics"
}
|
at comes next: 109159, 109157, 109155, 109153, 109151, 109149?
109147
What is the next term in 2761, 5558, 8393, 11266, 14177, 17126?
20113
What comes next: -1634, -3247, -4834, -6383, -7882, -9319?
-10682
What is the next term in 12466, 24940, 37416, 49894, 62374, 74856?
87340
What comes next: -7217, -7283, -7349, -7415, -7481, -7547?
-7613
What is next in 2909, 11656, 26221, 46592, 72757, 104704, 142421, 185896?
235117
What comes next: 11244, 11300, 11356, 11412?
11468
What is the next term in -1080, -1025, -972, -921, -872?
-825
What comes next: 274, 344, 414, 484, 554?
624
What is the next term in 1626, 6636, 14976, 26640, 41622, 59916?
81516
What is next in -1978, -7988, -18032, -32134, -50318?
-72608
What comes next: -42001, -42043, -42105, -42181, -42265, -42351, -42433, -42505?
-42561
What comes next: 12737, 25409, 38079, 50747, 63413, 76077?
88739
What is the next term in -237, -846, -1827, -3180, -4905, -7002?
-9471
What is next in 3381, 13752, 31045, 55266, 86421, 124516, 169557, 221550?
280501
What is the next term in -226679, -906802, -2040341, -3627296, -5667667, -8161454, -11108657?
-14509276
What is next in 11201, 22383, 33565, 44747, 55929, 67111?
78293
What is next in -11035, -22044, -33067, -44110, -55179?
-66280
What comes next: -14341, -14351, -14365, -14383, -14405, -14431?
-14461
What comes next: -376444, -376424, -376382, -376306, -376184?
-376004
What is next in 2668964, 5337927, 8006892, 10675859?
13344828
What is next in -2190803, -4381607, -6572411, -8763215, -10954019, -13144823?
-15335627
What comes next: -545255, -545251, -545245, -545237?
-545227
What is the next term in -2978, -23775, -80224, -190151, -371382, -641743?
-1019060
What is the next term in -13655, -13661, -13673, -13691, -13715, -13745?
-13781
What is next in 945, 994, 1077, 1194, 1345, 1530?
1749
What is next in 10423, 83389, 281433, 667093, 1302907, 2251413, 3575149, 5336653?
7598463
What is next in 2054, 5467, 8856, 12209, 15514, 18759?
21932
What is next in -203, -369, -491, -569, -603, -593, -539?
-441
What comes next: -27257, -27268, -27301, -27368, -27481, -27652, -27893, -28216?
-28633
What is the next term in 4729, 9398, 14043, 18652, 23213, 27714, 32143, 36488?
40737
What comes next: 233, 366, 691, 1292, 2253, 3658, 5591?
8136
What is next in -56918, -56907, -56890, -56867, -56838, -56803, -56762?
-56715
What is next in 30018, 60033, 90048, 120063?
150078
What is the next term in -81, -235, -653, -1467, -2809?
-4811
What comes next: -10655, -10528, -10401, -10274, -10147?
-10020
What comes next: 2160, 2519, 2892, 3285, 3704, 4155?
4644
What is next in 1765, 7037, 15821, 28117, 43925, 63245, 86077?
112421
What is next in 728, 1456, 2164, 2852, 3520, 4168, 4796?
5404
What is the next term in 267, 1261, 2943, 5313?
8371
What is the next term in 38394, 76797, 115200, 153603, 192006?
230409
What is the next term in -5541, -11056, -16555, -22032, -27481, -32896, -38271?
-43600
What is the next term in 47476, 94950, 142424, 189898, 237372, 284846?
332320
What is the next term in -114667, -458651, -1031949, -1834555, -2866463, -4127667, -5618161, -7337939?
-9286995
What is the next term in 102590, 102595, 102612, 102647, 102706, 102795, 102920?
103087
What is next in 246, 345, 444, 543, 642?
741
What is next in -4610, -4669, -4778, -4949, -5194, -5525?
-5954
What is next in -16, -2, 68, 230, 520, 974, 1628?
2518
What is the next term in -220, -179, -136, -91?
-44
What is next in -147, -284, -453, -666, -935, -1272, -1689?
-2198
What is next in -2480, -4980, -7502, -10058, -12660?
-15320
What is next in 774, 782, 814, 882, 998, 1174, 1422, 1754?
2182
What comes next: -1046, -1660, -2682, -4112, -5950, -8196?
-10850
What is next in 20351, 20350, 20349, 20348?
20347
What is next in -1503, -1496, -1491, -1488, -1487, -1488, -1491?
-1496
What comes next: -1317357, -1317358, -1317359?
-1317360
What is next in -186, -374, -884, -1878, -3518, -5966, -9384?
-13934
What is next in -3210, -4127, -5046, -5967?
-6890
What is next in -16, 109, 234, 359?
484
What is the next term in 4540, 4561, 4580, 4597?
4612
What comes next: -103, -213, -331, -469, -639, -853, -1123, -1461?
-1879
What comes next: 128, 512, 1128, 1982, 3080, 4428, 6032?
7898
What comes next: -1747, -1755, -1771, -1801, -1851, -1927, -2035?
-2181
What is next in -144, -242, -556, -1194, -2264, -3874, -6132?
-9146
What is the next term in 3250, 12980, 29192, 51892, 81086, 116780?
158980
What comes next: -422, -865, -1322, -1787, -2254, -2717?
-3170
What is next in 897, 3601, 8109, 14421, 22537, 32457?
44181
What is the next term in -4387, -8784, -13187, -17590, -21987, -26372, -30739, -35082?
-39395
What is next in -69, -307, -711, -1281?
-2017
What comes next: -3353, -6714, -10073, -13430, -16785, -20138?
-23489
What is next in -76713, -153430, -230147, -306864, -383581?
-460298
What is next in 257, 297, 399, 593, 909, 1377, 2027?
2889
What comes next: -6, -85, -224, -423, -682, -1001, -1380?
-1819
What is next in 27, 133, 295, 501, 739, 997?
1263
What comes next: -29163, -58484, -87805, -117126, -146447?
-175768
What is the next term in 109, 396, 1173, 2686, 5181, 8904, 14101, 21018?
29901
What comes next: 434, 170, -268, -880, -1666?
-2626
What is next in -185, -738, -1661, -2954, -4617, -6650, -9053?
-11826
What is next in -16678, -33360, -50042?
-66724
What is the next term in 18, -38, -146, -312, -542?
-842
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184792
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-2141
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36131
What is the next term in -2809, -2864, -2955, -3088, -3269, -3504?
-3799
What is next in -1104, -2208, -3312?
-4416
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5191
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63
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-5793
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6400
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2249
What is next in -115, -451, -1005, -1777, -2767, -3975, -5401?
-7045
What comes next: 115825, 115822, 115817, 115810?
115801
What is next in -26, -300, -1046, -2498, -4890, -8456?
-13430
What is the next term in -595, -4776, -16089, -38086, -74319, -128340, -203701?
-303954
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-53375
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1502
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3377
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1740424
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98
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-35244
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1667
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178316
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-9103
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3023
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1513
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135687
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1199
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-13457
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-1955
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-1070321
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-6986
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-2113109
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5013
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-576713
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913
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-60552
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-1651
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11216
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68760
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5244
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3492
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-1538
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29967
What is next in -64049, -64050, -64051, -64052?
-64053
What is the n
|
{
"pile_set_name": "DM Mathematics"
}
|
et l = -1 - m. Solve k = 2*j - 0 + 4, 5*k + l = j for j.
-4
Suppose 5*l - 16*l + 233 = 24. Let q(a) = a + 11. Let o be q(-6). Solve 2*y = 5*x + l, -2*x = -3*x - o for y.
-3
Let k = 75 - 72. Suppose -x + k*u + 25 = 0, 0 = 4*x + 5*u - 2 - 183. Let w = x + -37. Solve -4*i - 9 = -2*h - w, 2*h - 7 = 5*i for i.
-1
Suppose 6*c - 252 = -c. Suppose 7*o + c = 9*o. Solve -4*i + 36 = 4*a, 6 = -3*i + o for a.
5
Suppose 4*f = -5 - 3. Let n be (-24)/(-16)*(-1 + f/(-6)). Let a be n*(-25)/10*4. Solve -2*i + 4 = 0, 2*i + 3*i - a = 3*h for h.
0
Let n(a) = 753*a + 5. Let k be n(0). Solve -s + 63*w - k = 61*w, 0 = -4*s - 5*w - 7 for s.
-3
Suppose 5*k + 5*k - 50 = 0. Let x = k + -5. Solve 2*m - 5*t + 5 = x, 5*m - 3*m = 2*t - 8 for m.
-5
Let n be (-4 - 1) + (-112)/(-3 + -11). Solve 0 = -4*o - 2*s + 10, -4 = -o - 2*s + n for o.
1
Suppose 0 = h - t - 21, -4*h - 2*t + 80 + 28 = 0. Let j = 109931 + -109926. Solve -3*y + 8*y - h = 2*p, -25 = -j*y - 2*p for y.
5
Let l be (-4)/6 + 186/9. Let s be 205/l + (-3)/(-4). Solve v = -f - 3, -4*f - 5*v = -0*f + s for f.
-4
Let z = 2004 - 2004. Solve z = 2*v - 3*j + 2, 2*v + 0*v - 4*j = -4 for v.
2
Let x(j) = 2*j**3 + 15*j**2 + 4*j + 16. Let v be x(-5). Suppose 119*m - v*m = 0. Let q be 1*-2*(-3)/2. Solve 2*a + 4 = 3*p + a, m = q*a + 12 for p.
0
Suppose -4*r - 12 = -4*q, -r = 3*r + 5*q - 33. Let j be (-21 + -2)/(1/(-2)). Let w = j + -34. Solve 2*f - 2*g - w = 0, -5*f + 23 = -r*f - 4*g for f.
1
Suppose k = 5*k. Suppose -5*s + 2 = y - 22, -3*y = 5*s - 72. Suppose -5*b + 34 - y = 0. Solve k = -2*l - 5*j - 15, -6*l + b*l + 2*j = -6 for l.
0
Suppose -4*n + 134 = 4*s + 146, -4*n - 36 = -2*s. Let c(y) = y**2 + 6*y - 8. Let p be c(-8). Solve 0 = -4*z + 3*w + p, -40 = -4*z - w - s*w for z.
5
Let a = -345 - -408. Suppose 3*f + 33 = -3*v + a, -4*f = 2*v - 30. Suppose -2*w + 6 - 2 = -h, -2*h = 5*w - 19. Solve -w*z - d = -4*d + 21, 5*z = -d - v for z.
-2
Suppose 3*u = -x + 15, -2*u = -69*x + 70*x - 13. Solve u*w + 24*z + 10 = 26*z, -z - 19 = 5*w for w.
-4
Suppose 4*c = -3*c + 28. Suppose -4*m + 2*i + 12 = -2*m, c*m = -3*i - 4. Let g(o) = -o - 2. Let n be g(-7). Solve -3*d = m*r + 16, -d = -3*r + 3 - n for d.
-4
Let r(i) = -28*i - 2408. Let l be r(-86). Solve 5*x - 8*x + 3*f + 15 = l, -4*x = 2*f + 10 for x.
0
Suppose -5*z + 5*m = -25, 2*z = 6*z + 3*m - 55. Let x = -16 + 6. Let n = z - x. Solve 2*l = 3*t + 5, -3*t - n = -l + 2*l for l.
-5
Let u be (-2)/(-13) + ((-7140)/(-6825) - (-18)/10). Solve 2*f + 3*f - 3*v = 15, -u*v + 9 = 3*f for f.
3
Suppose -2360*k - 585 = -2425*k. Solve -29 + k = 4*l + 4*j, -20 = 4*l + 2*j for l.
-5
Let q be 18*((-4)/(-2) + 128/(-72)). Solve -4*x + q*p - 4 = 0, -3 = -2*x - 2*p + 7 for x.
2
Suppose -5*v = -5*q + 5, -2*v + 15*q = 17*q - 18. Solve -3*c = 3*t + 6, -3*c = -4*t + v + 23 for c.
-5
Let h = -6140 - -6144. Solve -3*v = -f - 32 + 12, 0 = -h*f - v - 15 for f.
-5
Let j(p) = p**2 + 46*p - 616. Let h be j(-57). Solve 4*k + 7 = h*f - 6*f, -2*k = -f + 5 for f.
-1
Let t(j) = -2*j**2 - 23*j + 37. Let o be t(-11). Let f be (1 - -1)/(32/o). Solve 2*c = c, -3*x = -5*c + f for x.
-1
Let p(u) be the first derivative of u**2/2 + 6*u + 1. Let l be p(-3). Let c = -716 - -720. Solve -c*g = w - 3 - 20, l*w = 3*g - 6 for g.
5
Suppose 2*k + 7 = -h, -5*k - 4*h = -2*k + 23. Let q(o) = -5*o**3 + 2*o**2 + 6*o + 4. Let c be q(k). Solve -5*u - c = 5*m, -u + 19 = -4*m + m for u.
4
Suppose 0 = 5*m - 10, 4*y + 134 = -342*m + 341*m. Let w be ((-2)/(-4))/(1/74). Let f = w + y. Solve 0 = 2*k + c + 1, -f*k = -2*c + c - 6 for k.
1
Let k(v) = 8*v**2 + 98*v - 40. Let x be k(-13). Suppose -5*y + 40 + 30 = 0. Suppose -94 + x = -y*f. Solve 16 = -5*z + 6, -f*z + 7 = 3*t for t.
5
Let q(k) = -9*k + k**2 - 8*k + 4*k. Let y be q(13). Suppose 0 = -4*i + 2*i + 2*x + 18, -i + 3*x + 19 = y. Solve -2*v = -5*f - 1 - i, 4*f - 3*v = 3 for f.
-3
Suppose -1 = 5*t - 76. Let m be 4 - ((-224)/120 - 2/t). Suppose -m*h + 10 = -26. Solve -4*j + 4*f - 9*f = 32, 2*j - 3*f - h = 0 for j.
-3
Let h be (-25)/(-25) + 1*5. Suppose -h*c + 16*c = -740. Let p = c + 74. Solve p = -0*t - t - 2, t = -4*r - 14 for r.
-3
Suppose 2*y + h = -8, -10*h - 10 = -5*y - 5*h. Let l be (-1)/y*-3*(-2180)/654. Solve -2*r + 2*n + 28 = 2*r, l*r = 2*n + 33 for r.
5
Suppose 99 = -5089*b + 5098*b. Solve 22 = -3*c - 2*z, -4*c = z - 2*z + b for c.
-4
Let l be (-4 - -12)*(-2)/(-4). Suppose -s = -l - 1. Suppose 5*o + 15 = s*b, 32 = 4*b - 3*o + 4*o. Solve -2*q - f = -5*q - b, 5*q = -2*f + 3 for q.
-1
Let v(y) be the first derivative of -2*y**2 + 19*y + 23. Suppose 5*r - 4*r = 4. Let b be v(r). Solve -2*d - 25 = -3*d + 5*p, b*p + 12 = 0 for d.
5
Let t = 105 + -105. Suppose t = s + 15 - 17. Suppose -42 = s*l - 50. Solve -2*p + 3*p = -2*a - l, -5*a = -5*p + 40 for a.
-4
Suppose -434 = -127*h - 53. Solve -2*a = 5*z - 7, 2*z - h*a + 2 - 1 = 0 for z.
1
Let k be (-5)/(-6) - (-22457)/102. Let h = k + -221. Solve 0 = 5*w - 0*z + z - 24, -3*z + 12 = h for w.
4
Suppose -30 + 4 = -3*q + 4*f, 5*q - 5*f - 35 = 0. Suppose -q*o + 0 = -8. Let y be 60/200*(5 + 0)*2. Solve -3*h - 8 = -y*m - m, -18 = o*h + 2*m for h.
-4
Suppose 2*x - 5*v - 43 = 0, -121 = -188*x + 183*x - v. Solve c = -3*d + 1, -4*d = -4*c - c + x for c.
4
Suppose -3*w + w = -5*i - 16, -2*w + 12 = -3*i. Solve 14 = 2*o + 4*n, o + 6 + w = 2*n for o.
-1
Suppose 6*p - 80 = 2*p. Let b be 10/(-6) - (-816)/144. Solve -s - 5 = v - 2*v, b*s - 2*v + p = 0 for s.
-5
Let j be ((-99)/15)/((-2)/(-10)). Let l = 12 - j. Let z be (-4)/6*l/(-10). Solve -z*d + 3*y = 5*y - 2, 0 = -4*d + 5*y + 18 for d.
2
Let a(i) = i**2 - 10*i - 10. Let k be a(11). Let g = k - -1. Let w(m) = -m + 5. Let d be w(5). Solve d = -2*b - g*z - 20, -2*b = 4*z - 7*z - 5 for b.
-5
Let v(u) = 9*u**3 - 81*u**2 - 4*u + 40. Let h be v(9). Solve -2*p - 25 = h*r - 35, 5*r - 5*p + 25 = 0 for r.
0
Suppose -2*p = 3*j - 19, -3*j - 10 = -5*j. Let f(c) = -2*c**2 + 19*c - 6. Let w be f(9). Solve -w*l + 3*g + 1 = -p, -l + 10 = -4*g for l.
-2
Suppose 0 = -19*n + 40*n - 35 - 49. Solve -4*r = 2*d - 10, 3*d + n*r = -0*d + 15 for d.
5
Let x(i) = 1613*i - 4828. Let s be x(3). Solve -3*g - s = -2*m, 0*g = 5*m - 2*g - 11 for m.
1
Let l = -11608 + 11610. Solve -l*h + 26 = 5*p, h + 14 = -2*p + 25 for p.
4
Let m = -382 + 385. Let t(n) = 2 - n**3 + 8*n**3 - n**2 - 3*n**3 - 3*n**3 - n. Let x be t(0). Solve -19 = 4*j - 6*j - m*k, 0 = -x*j - 2*k + 16 for j.
5
Let n = 2565 + -2560. Solve -12 = -i + 2*p - 20, 0 = -n*p + 15 for i.
-2
Let t(r) = -r**3 + 8*r**2 - 3. Let g be t(8). Suppose 104*o - 103*o - 7 = 0. Let w be o/g + 1 - (-32)/6. Solve 0 = 3*i - 4*n + 10, 4*n + 6 = w*i + 18 for i.
-2
Suppose -5*d + 41 + 235 = 87*d. Solve 4*t = -5*r + 40, r + d*t + 2 - 10 = 0 for r.
8
Suppose -3*b = -2*x - 6, 5*x - 3 = -2*b - 18. Suppose 9*c - 6*c - 81 = b. Let w = c + -25. Solve 4*q + 20 = -4*t, -4*q = w*t - t + 20 for q.
-5
Suppose -3*x + 24 = 9. Suppose x*s = 20, 2*s = -13*j + 16*j + 8. Solve 0*l - 2*l + d = j, -5*d - 14 = 4*l for l.
-1
Let q(r) = -3*r**2 - 14*r - 3. Suppose -4 = -15*u + 16*u. Let k be q(u). Solve -4*j = -20, 4*j = -k*d - j + 40 for d.
3
Let d be 0 - 282 - 5/(-15)*9. Let r = d + 283. Solve -5*u - r = -2*h, -5*u = -0*u - 3*h + 6 for u.
0
Suppose -6*o = -3*o - 2*o. Suppose o = -8*h + 16*h + 8. Let y be (-61 - -61) + 7*h/(-1). Solve 5*s = -2*m + y*m - 15, 3*m + 31 = -5*s for m.
-2
Suppose 0 = -p + 2*u + 6, p - 89*u + 94*u = -1. Solve -2*i = 3*h - 12 + 28, p*h = i - 14 for i.
-2
Let x be (26/7 + -4)/(1/(-7)). Suppose -3*r = -x*r - 23. Suppose -8 + r = -3*u, 6 = 2*d + 2*u. Solve -5*v + b = -0*v + 22, -3*v - 2*b = d for v.
-4
Let b be (-456)/(-133) + (-3)/7. Let r(d) = -d**2 - 7*d + 30. Let s be r(b). Solve -4*a - 14 = -a + 4*i, 5*a - 5*i = s for a.
-2
Suppose -6*q = 2*q. Let g be 19/(-38)*(q - -2). Let c(o) = -o**3 + 2*o**2 - 1. Let b be c(g). Solve -5*m + 5*x = 40, 4*m - b*m - 3*x + 19 = 0 for m.
-5
Suppose 17*m - 14*m = 6. Suppose -36 + 34 = -m*k. Let p be (3 + k)*4/8. Solve 4*l + 5 = l + 4*f, 0 = -l + p*f - 3 for l.
1
Suppose -16*i = 3*i - 2*i - 238. Solve -7*c + 6*c = -4*o + i, -3*o + 8 = -2*c for c.
2
Let s(d) be the second derivative of -d**4/6 - 7*d**3/3 - 3*d**2 + 30*d. Let y be s(-7). Let o be (-3)/9 + (-8)/y. Solve -3*c = 2*u + 4, 2*u - 5 = c - o for u.
1
Let d = -64 - -74. Suppose -d*u + 10*u = 9*u. Solve -2*q + 3 = -u*j -
|
{
"pile_set_name": "DM Mathematics"
}
|
3*s**2 - s**2)*(2*s - 2 + 2) - 1 - 2*s**2 - 5*s - 1499*s**3 + 3*s + 1508*s**3.
26*s**3 - 2*s**2 - 2*s - 1
Expand (1 + 2 - 4)*(2 - r**3 - 2) - 2*r**3 + 2*r - 2*r - 657*r**3 + 38*r + 40*r - 2*r**2 - 78*r.
-658*r**3 - 2*r**2
Expand (2 - 3*c**2 - 2)*(-1 - 2 + 1)*(-43 - 8*c + 3 + 45).
-48*c**3 + 30*c**2
Expand (4 + 1 - 7)*(p**3 - p**3 + 2*p**3) - 33937*p**2 + 16973*p**2 - 3820*p**3 + 16964*p**2.
-3824*p**3
Expand (-73*q + 1256 - 1256)*(-1631*q + 1618*q + 3 + 0).
949*q**2 - 219*q
Expand 2*o + 4*o - 4*o + (1 - 4 - 2)*(-1 - 2 + 1)*(11*o - 2*o - o) - 4*o + 4*o - 2*o + (-2*o + 5*o - 4*o)*(1 - 1 - 1) - 3*o + 4*o + 2*o.
84*o
Expand (2 - 2 + 1)*(72*t**5 - 3*t**5 + 6*t**5 + (3*t**3 + t**3 - 5*t**3)*(-3*t**2 + 4*t**2 - 3*t**2) - t**5 - 4*t + 4*t - 18*t**5 + 11 - 11).
58*t**5
Expand q**3 - 6*q**3 + 4*q**3 + 4*q - 4*q - 3*q**3 + (3*q**2 + 3*q**2 - 5*q**2)*(1 - 3*q - 1) + 2 - 2 + 2*q**3 + (8*q + 0*q - 2*q)*(2*q**2 + 3 - 3).
7*q**3
Expand (16 + 8 - 6 + (1 + 1 - 3)*(-6 - 1 - 4))*(257*b - b**2 - 257*b).
-29*b**2
Expand (-9757 - 630 + 4881 - 9455 - 4509 - 11982)*(0*r + 0*r - 4*r**4).
125808*r**4
Expand -19 + 27*h**2 + 19 + (2 - 1 + 1)*(-55*h**2 - 41*h**2 + 31*h**2) - 2 + 2*h**2 + 2 - 3*h**2 + 3*h**2 - 2*h**2.
-103*h**2
Expand (-4*m**4 + 3*m**2 - 3*m**2)*(-1 - 2 + 2) + 2*m**2 - 2*m**2 + m**4 + 2*m**4 - 16*m + 17*m**3 + 18*m**3 - 35*m**3.
7*m**4 - 16*m
Expand -26*w**2 + 30*w**2 - 23*w**2 + (w - 5 + 5)*(-70*w + 0 + 0 - 11*w).
-100*w**2
Expand -2 + 2 - i + (4*i - 2*i + 0*i)*(2 + 0 - 1) - 205206 + 205206 - 1072*i + 3 - 5 + 6*i - 4*i.
-1069*i - 2
Expand (3 + 4 + 3)*(4*y - 3*y + 0*y)*(123 - 123 + 6*y + (y - 2 + 2)*(4 - 1 - 1)).
80*y**2
Expand -2*r**3 + 40*r**4 + 3*r**3 - 39*r**4 + (-r**2 - 1 + 1)*(-r**2 + 3*r**2 - 3*r**2).
2*r**4 + r**3
Expand (112*i - 1983*i**2 - 15*i + 1980*i**2)*(-4*i + 1 - 3 + 0).
12*i**3 - 382*i**2 - 194*i
Expand (-925 - 768 + 650 - 464)*(-4*n**2 + 3*n**3 + 4*n**2).
-4521*n**3
Expand (-3*j**2 + 35786*j**4 + 2*j - 2 - 35789*j**4 + 0*j)*(2 + 0 + 0).
-6*j**4 - 6*j**2 + 4*j - 4
Expand (-c**2 - 2*c**2 + 5*c**2 + (3*c - 6*c + 0*c)*(-c + c - c) + 6*c**2 - 3*c**2 + c**2)*(138*c**2 - 228*c**2 + 111*c**2).
189*c**4
Expand 3*u - 4 + 4 + (7 - 1 + 2)*(0*u + 5*u - 2*u + (-4*u - 2*u + 5*u)*(3 - 2 + 0)) - 8 - u + 8.
18*u
Expand (4 + 2 - 4)*(-1 + 1 - 8*c + (2*c + c - 6*c)*(-2 - 2 + 3) - 219 - 5*c - 194 + 442).
-20*c + 58
Expand (-12*q + 5*q - 6*q)*(10*q**4 + 10*q**2 - 10*q**2) + 3*q**4 - 29*q**2 + 9*q**4 + 3*q**5 + 30*q**2.
-127*q**5 + 12*q**4 + q**2
Expand -4*d - 11*d**3 + 4*d + (0*d**2 - 4*d**2 + 3*d**2)*(-4*d - 15*d + 3*d) + 2*d**2 - 7*d**3 - 2*d**2.
-2*d**3
Expand (5 - 4 + 1)*((5*u**2 - 5*u**2 + u**2)*(1 - 1 - 2*u) - 81826*u**2 + 81826*u**2 + 438*u**3).
872*u**3
Expand (-a**2 + 0*a + 0*a + (-6*a + 2*a + 2*a)*(-a + a - 4*a) + 8 - 8 - 17*a**2)*(-12*a**2 + 0*a + 6*a**2 + a).
60*a**4 - 10*a**3
Expand 79288*l**3 + 361*l**4 - 79288*l**3 - l**4 + 4 - 4 + (0 - 2 + 1)*(3*l**2 - 2*l**4 - 3*l**2) - l**4 + 2*l**4 + 0*l**4.
363*l**4
Expand (29 + 0 + 7)*(-3 + 2 - 2)*(0 + 73*v**2 - 1 - 2*v - 74*v**2) + (3 + 0 - 4)*(-4 + 4 + 2*v**2).
106*v**2 + 216*v + 108
Expand -x - 5*x + 9 + 3*x + 2*x - 3*x + 2*x + (-2 + 2 + 2*x)*(-2 + 4 - 3) + 4 - x - 4.
-5*x + 9
Expand -w**2 - 3*w**2 + 2*w**2 - 6 + 6 - 19*w**2 - 17*w**2 + 8*w**2 - 5*w**2 + (w + 1 - 1)*(-w + w - 2*w) - 5*w**2 + w**2 + 2*w**2.
-39*w**2
Expand (-2 + 4 + 0)*(-62*d + 71*d + 45*d) + (-6 + 3 - 22)*(-2*d + 3 - 3)*(0 + 1 + 1).
208*d
Expand (3 - 5 + 3)*(3*f - 3*f + f)*(-1808 + 501 - 771).
-2078*f
Expand (-4*q**3 + q - q)*(2*q - 2*q + 2*q**2) + 3845*q - 991*q**5 - 3845*q.
-999*q**5
Expand (-134*c**4 - 3*c**4 - 71*c**4)*(-1 + 1 - 3*c).
624*c**5
Expand (9 - 1 - 20 - 14)*(-432 + 432 + 15*x + (3*x - 5*x + x)*(1 - 1 - 2)).
-442*x
Expand (-1 + 1 + 2*c**2)*(-28*c + 14*c - c)*(9*c**2 + 28 - 28).
-270*c**5
Expand (4 - 4 - 2*o**2)*(2*o**2 - 4*o**2 + 0*o**2) + (51240 - 51240 - 33*o)*(11*o**3 + 12*o**3 - 13*o**3).
-326*o**4
Expand (-3 + 6 - 2 - 1 + 1 - 2 - 1 - 2 + 1 + 4 - 4 + 1 + (0 - 2 + 3)*(2 + 3 - 3) - 4 - 2 + 4 + 5 - 3 - 1 - 3 + 2 + 3)*(-267*h**2 + 132*h**2 - 152*h**2).
-287*h**2
Expand (5*h**3 - 4*h**3 + 0*h**3)*(104 - 140 + 57 + h**2 - 12*h).
h**5 - 12*h**4 + 21*h**3
Expand i**2 + 2 - 2 + (i - 2*i - i)*(-3*i + 3*i + i) - i**2 + 2 - 2 + (54*i + 63*i - 92 - 130*i)*(2*i - 6*i + 2*i).
24*i**2 + 184*i
Expand (-7 + 1 + 4)*((2*m - 2*m - 2*m)*(0 - m + 0) + 1153*m**2 - 194*m + 194*m).
-2310*m**2
Expand (-94*n**5 - 342 + 342)*(3 - 1 - 8)*(-6 + 4 - 1)*(-12 + 38 + 3).
-49068*n**5
Expand (-2*z + 3*z - 3*z)*(-5*z**3 + 5*z**3 + 8*z**3) + 4*z**4 - z**4 - z**4 - z**4 + z**4 + 22*z**4 + (0*z**2 - z**2 + 3*z**2)*(3*z**2 + 4*z**2 - 6*z**2).
10*z**4
Expand (3 - 3 + 2)*(16*d - 10*d + 4*d) + 16*d - 494 + 490 - 38*d.
-2*d - 4
Expand (12 + g**2 - 12 - 3*g**3)*((12 + 9 - 27)*(6 - 1 - 3) - 1 + 3 - 3)*(-7*g + g + 5*g).
-39*g**4 + 13*g**3
Expand (-10*a - 2*a + 3*a)*(3 - 3 + 1) + (141 - 14 + 51)*(5*a - 2*a - a) + (-2*a - a + 2*a)*(3 + 0 - 5).
349*a
Expand (3*m - 47 + 7*m + 50)*(-1 - 2*m + 1 + (-46 - 194 + 144)*(1 - 1 + m)).
-980*m**2 - 294*m
Expand (2 - 4 - 2)*(3*o**2 - o**2 - o**2) + 5737*o**2 + 5736*o**2 + 2 - 11475*o**2 + 75*o.
-6*o**2 + 75*o + 2
Expand (-11*g + 40 - 29 + 17*g)*(-4 - 2 + 2 + (-4 + 2 + 0)*(2 - 3 + 3) + 3 + 0 - 4 + 3 + 0 - 6).
-72*g - 132
Expand (2*k**2 - 2*k**2 + 2*k**2)*(-2953*k**3 + 18035*k - 18035*k).
-5906*k**5
Expand (-7*r**3 - 8*r**3 - 14*r**3)*(2 + 3 - 3)*(-2 - 4 + 2).
232*r**3
Expand (28*d - 192*d + 43*d)*(-d - d + 4*d) + (2 + 0 + 2)*(-d**2 + 0*d**2 - d**2).
-250*d**2
Expand (143*m + 10*m - 18*m)*(-94 + 257 - 102).
8235*m
Expand (3*p**5 - 4*p**5 + 0*p**5)*(4 + 0 - 5) + (4*p**2 + p**2 - 2*p**2)*(-13715*p + 13715*p - 964*p**3).
-2891*p**5
Expand -425*q**2 + 425*q**2 - 49*q**3 + q**3 + 0*q**3 - 11*q**3 + (0*q**2 + q**2 + q**2)*(2*q - 7*q + 2*q).
-65*q**3
Expand (-256*a**2 - 163*a**2 + 29*a - 29*a)*(0*a - 4*a + 4 + a).
1257*a**3 - 1676*a**2
Expand -x**2 - 5 - 32*x + 4*x**2 + 33*x + (1 - 3 + 13)*(-6*x**2 - 51 + 51).
-63*x**2 + x - 5
Expand (74*j - 1 + 32*j - 197*j)*(7*j + 2 - 2*j - 6*j).
91*j**2 - 181*j - 2
Expand (3*n + 0*n - 4*n)*(-19 + 19 - 13*n**4 + 13) + 2*n**2 + n**5 - n**4 + 2*n**5 - n**5.
15*n**5 - n**4 + 2*n**2 - 13*n
Expand (9*y**3 - 12 + 12)*(3*y**2 - 2 + 2) - 2*y**5 + 0 + 0 + (2*y - 2 + 2)*(-9*y**4 - 2*y**4 + 3*y**4).
9*y**5
Expand (-2*t - 3*t + t + (-11*t + 59*t + 29*t)*(2 + 4 - 3))*(3*t**3 + 3*t**3 - 7*t**3)*(-t + 0 + 0).
227*t**5
Expand (-3*v**2 + v**2 + 4*v**2)*(-8*v**3 + 3 - 3)*(-2 + 5 - 2 + 2 + 4 + 1 + (1 - 3 + 0)*(3 + 2 - 4)).
-96*v**5
Expand (2*o**2 - 4*o**2 + 0*o**2)*(-4 + 2 + 0) + 0*o**2 + 9*o**2 - 4*o**2 - 60 - 2*o - 72 + 131 + 19*o**2.
28*o**2 - 2*o - 1
Expand (19 - 46 + 19)*(-4 + 4 - 1)*(-240*t**2 + 240*t**2 - 56*t**5).
-448*t**5
Expand r**5 + r**5 - 5*r**5 + (11 + 6*r**3 - 11)*(3*r - 9*r + 0*r)*(-13*r + 2 - 2).
465*r**5
Expand 0 + 0 + k - 3*k + k + 4*k + 1 - k - 1 + (-2 - 3 + 3)*(0*k + 0*k - k) + 0*k + 3*k - 5*k - k + 6*k - 2*k - k - 28 + 14 + 10.
4*k - 4
Expand (476 + 84 + 1622)*(3*j**3 - 6*j**3 + 4*j**3).
2182*j**3
Expand (3 - 3 - 1)*(636*r - 37629 + 37629)*(4 - 4 + r).
-636*r**2
Expand (2 - k - 2)*(-393 - 1142 + 178).
1357*k
Expand (8*v**2 - 4*v + 3*v - 21*v**2)*(2*v - v - 2*v) - v**3 - 12*v + 5*v**2 + 12*v.
12*v**3 + 6*v**2
Expand (174 + 2*v**3 + 5*v**2 - 174)*(-18 + 196 + 51 + 425).
1308*v**3 + 3270*v**2
Expand ((-2 - 1 + 2)*(3 - 5 - 3) + 0 + 9 - 13)*(2*m**2 - m**2 + 2*m**2 + 2*m).
3*m**2 + 2*m
Expand z - 4*z + z + (1 - 1 + 2*z)*(2 + 0 + 0) - 4*z - 2*z + 3*z + 98 + 8*z - 98 + (3 + 1 + 3)*(0*z - 2*z - z).
-14*z
Expand (0*m + 3*m - m)*(3*m - 3*m + 2*m) + 107726 - 107713 - 6*m**2 - 30*m**2.
-32*m**2 + 13
Expand (-7 + 2 + 3)*(-4*p + p + p)*((-4 + 4 + 7*p)*(23 - 23 - 7*p) + (1 + 2*p - 1)*(-1 + p + 1)).
-188*p**3
Expand (-3*i + 4*i - 5*i)*(-7 - 28 - 7 - 23) + (0 + 1 - 2)*(-5*i + 6*i + 3*i).
256*i
Expand (-11*i + 22*i + 29*i)*(4 - 2 - 19 + (-6 + 5 - 1)*(-3 + 2 - 1)).
-520*i
Expand (-3*f**5 + 2*f - 2*f)*(2 - 4 + 1)*(2 + 6 + 1)*(-3 + 0 + 1)*(12 + 23 - 12).
-1242*f**5
Expand (62 - 732 + 218)*(l**2 - 5*l**4 + 11*l**4 - 7*l**4).
452*l**4 - 452*l**2
Expand (2 - 5 + 2)*(5667*n - 5605*n + 13 + 1)*(3*n + 0 + 0).
-186*n**2 - 42*n
Expand (-281 + 281 - 2*m)*(-3*m + 6*m + 12*m) - 3*m**2 - 5*m**2 + 5*m**2.
-33*m**2
Expand (-224 - 19
|
{
"pile_set_name": "DM Mathematics"
}
|
1*sqrt(1584))).
28*sqrt(7)/25
Simplify 1*((sqrt(192) + 2)**2*-5 + sqrt(192)) + -2.
-982 - 152*sqrt(3)
Simplify -2 + (0 + sqrt(891) + sqrt(891) - (sqrt(11) - (4 + sqrt(11)*2)))**2*-3.
-11963 - 456*sqrt(11)
Simplify 1*sqrt(325) + -4 - ((-1*sqrt(325))**2 + sqrt(325) + -3).
-326
Simplify -3*sqrt(176) + -5 + sqrt(99) + 1*((1*sqrt(77))/sqrt(7))**2*3.
-9*sqrt(11) + 28
Simplify (1*(4*-4*sqrt(99)*1 + -4) + 0)**2.
384*sqrt(11) + 25360
Simplify (-2*sqrt(133)*-2 + 6*2*sqrt(133))/(sqrt(70)/sqrt(90)*-5).
-48*sqrt(19)/5
Simplify 4*-4*(sqrt(297)/(sqrt(9) + 1*sqrt(9) + sqrt(9)))/(sqrt(11) - (6*sqrt(539) - sqrt(11)) - sqrt(11)).
16*sqrt(3)/123
Simplify (-4*(sqrt(55) - -6*(sqrt(55)*-2 - sqrt(55))))/(sqrt(198)/sqrt(2) + (sqrt(55)*-1)/sqrt(5)).
34*sqrt(5)
Simplify ((sqrt(26) + 1*sqrt(26)*3 - sqrt(26)) + (2*sqrt(156) - sqrt(156))/sqrt(6))/((sqrt(18) - (sqrt(162) + sqrt(162)*1)/sqrt(9))/sqrt(9))*4.
-16*sqrt(13)
Simplify (-1 + ((sqrt(2448) - (-1 + sqrt(2448) - sqrt(2448)))*1 + -2)*4)**2.
-480*sqrt(17) + 39193
Simplify -2*((sqrt(156)/(sqrt(8)/sqrt(2)) + sqrt(39))*-4)/((-6*sqrt(72))/sqrt(6)).
-4*sqrt(13)/3
Simplify (-2 + sqrt(1539))*3 + (5*(-3 + sqrt(1539)))**2 + sqrt(1539).
-1314*sqrt(19) + 38694
Simplify (3 + (-3*sqrt(42)/sqrt(2))/((sqrt(144)/sqrt(3) - sqrt(3)) + sqrt(3) - sqrt(3)))*-4.
-12 + 4*sqrt(7)
Simplify sqrt(52)/sqrt(4)*-3*-6 - (-2*sqrt(208))/sqrt(4).
22*sqrt(13)
Simplify (sqrt(190)/(sqrt(10) + sqrt(90)*-1))**2 + (6*sqrt(38)/sqrt(2))**2 + sqrt(475) + 1.
5*sqrt(19) + 2759/4
Simplify (2*(1 + sqrt(112) + 3)*-5*-2)**2.
12800*sqrt(7) + 51200
Simplify (1*(sqrt(104)/(sqrt(6)/sqrt(3)) - sqrt(52)))/(sqrt(32)/(sqrt(32) - sqrt(8))*-1).
0
Simplify -5*((sqrt(560)*-2)/(sqrt(605) + 1*sqrt(605)) + 5)**2.
-15685/121 + 200*sqrt(7)/11
Simplify ((sqrt(684) + 5*2*sqrt(684) + sqrt(684))*3*-5)**2.
22161600
Simplify sqrt(1573) + 5 + 5 + (-5*sqrt(13)*3)**2 + 3.
11*sqrt(13) + 2938
Simplify (2*(-3 + -1 + -2 + 2*sqrt(13) + sqrt(117)*2 + sqrt(117))*-2)**2.
-2112*sqrt(13) + 25744
Simplify (6*-1*(sqrt(960)/sqrt(12) + 5*sqrt(20)))**2.
35280
Simplify (-4*(sqrt(480) + (sqrt(480) - ((sqrt(480) - 1*sqrt(480) - sqrt(480)) + sqrt(480)))) - sqrt(480))/(sqrt(50)/sqrt(5)*3) + -5.
-12*sqrt(3) - 5
Simplify (-3*sqrt(2560))/sqrt(8) + ((sqrt(240)*-4)/sqrt(3))**2.
-24*sqrt(5) + 1280
Simplify ((-4 + sqrt(76)/sqrt(4) + -3 - sqrt(209)/(sqrt(121)/(sqrt(33)/sqrt(3)))) + -5 + 1)**2.
121
Simplify (3 + (sqrt(1900) + ((-1 + sqrt(1900))**2 + 0 - sqrt(1900)))*4 + 3)*3.
-240*sqrt(19) + 22830
Simplify (((6*sqrt(350)*-2)/sqrt(7))/(3*sqrt(10)*-2*-4))**2.
5/4
Simplify (3*-5*(sqrt(70) + (sqrt(70) - sqrt(70)*-1)))/(3*(sqrt(10) + sqrt(90)*-2 + sqrt(90) - sqrt(10))).
5*sqrt(7)
Simplify sqrt(10)/(sqrt(405)/sqrt(9)) - sqrt(14)/(-2*sqrt(28)).
7*sqrt(2)/12
Simplify ((0 + (2 + -1*sqrt(704))*1)**2 + 4)*-2.
-1424 + 64*sqrt(11)
Simplify (sqrt(17) - (sqrt(425) + -2) - (sqrt(1377) + 2)) + sqrt(85)/(sqrt(320)*3).
-311*sqrt(17)/24
Simplify (-4 + -3*(sqrt(75) + -1) + sqrt(75) + -1*sqrt(75) + -1)**2.
60*sqrt(3) + 679
Simplify ((sqrt(1331) - 2*sqrt(1331)*4 - sqrt(1331)*-4*-5)*-1)**2.
970299
Simplify -6*(4 + sqrt(325)*2) - (-3*(sqrt(325) + 1) + 4 + 0 + sqrt(325))**2.
-1325 - 40*sqrt(13)
Simplify -5 + sqrt(35)/(sqrt(40)/(sqrt(16)/sqrt(2))) + (sqrt(7) - (sqrt(63) + 2)**2) + sqrt(378)/sqrt(6).
-72 - 7*sqrt(7)
Simplify -4*(sqrt(425) + 3 + (-3*sqrt(425))**2 + sqrt(425)) + (sqrt(425)*1 + -1 - -4*(sqrt(425) - 1*sqrt(425)))**2.
-14886 - 50*sqrt(17)
Simplify (sqrt(600) + sqrt(600) + (sqrt(600) - (3*-1*sqrt(600) + sqrt(600))))/(sqrt(972) + 5*sqrt(972)).
25*sqrt(2)/54
Simplify (-5*(sqrt(130)*1 - sqrt(130)) + -2*sqrt(130)*-3 + sqrt(130))/(5*sqrt(1440)*-1).
-7*sqrt(13)/60
Simplify (6*(sqrt(35)*1*-6)/(-1*sqrt(5)*4))**2.
567
Simplify (sqrt(3645)*3 + sqrt(45))/(sqrt(9) + 4*3*sqrt(9)).
28*sqrt(5)/13
Simplify -4 + (-2*sqrt(104)*2*4)/((-2*sqrt(88))/sqrt(11) + sqrt(8) - (sqrt(8) + sqrt(968)*1)).
-4 + 16*sqrt(13)/13
Simplify (-6*-2*sqrt(540))/(-2*sqrt(60)/sqrt(192))*-5.
720*sqrt(3)
Simplify 1 + -2 + (2 + sqrt(1872)*-1 - sqrt(1872)) + 5*(-1*sqrt(1872) - sqrt(1872)) + 4.
-144*sqrt(13) + 5
Simplify 5*(5*(sqrt(7) - (sqrt(28)/sqrt(4) + 1)) + 5)**2.
0
Simplify (-3 + (2*sqrt(1539) - sqrt(1539)) + 4 + sqrt(1539) + (sqrt(1539) + sqrt(1539)*1 + 2)*-4)**2.
756*sqrt(19) + 55453
Simplify (4*sqrt(720))/sqrt(9) - (1*sqrt(245) + -5).
5 + 9*sqrt(5)
Simplify 3 + sqrt(1100) + sqrt(11) + ((sqrt(11) + -3)*-6)**2 + -4.
-205*sqrt(11) + 719
Simplify ((sqrt(152)*2)/sqrt(8) - (sqrt(684) + -2))**2 + sqrt(114)/sqrt(6)*-6 + (sqrt(19) - 1*(sqrt(19)*-3 + sqrt(19)) - sqrt(19))**2.
-22*sqrt(19) + 384
Simplify (sqrt(198)/(sqrt(6) + sqrt(96)*-3))/(-2*(sqrt(539) + sqrt(539) + 2*sqrt(539)))*-6.
-3*sqrt(3)/308
Simplify (sqrt(2) + -2 + 4 + -1)**2 + 4*(sqrt(72)*1)**2 + sqrt(72).
8*sqrt(2) + 291
Simplify 2 + sqrt(176) + (2*sqrt(176))**2 + -4 + sqrt(44)/sqrt(4) + 6*sqrt(44)/sqrt(4).
11*sqrt(11) + 702
Simplify (sqrt(616)/sqrt(11))/sqrt(8) + 3 - ((sqrt(21)/sqrt(3) - sqrt(7)) + 1 - (2 + sqrt(700))).
4 + 11*sqrt(7)
Simplify ((-1*(0 + sqrt(75)))**2 + -5)*-5.
-350
Simplify (-6*sqrt(110)*2 + (sqrt(110) - 2*sqrt(110))*4)/((((sqrt(100) - -1*sqrt(100)) + sqrt(100) + sqrt(100))*5)/sqrt(10))*-5.
4*sqrt(11)
Simplify ((-6*(sqrt(600) + sqrt(600)*1))/(sqrt(4608)*2 - sqrt(32)))**2.
2700/529
Simplify ((sqrt(1539) - (3 + 1*sqrt(1539))) + -5 + -4)*-6 + -4.
68
Simplify (sqrt(196)/(sqrt(4)*2))/(sqrt(49)/sqrt(847)).
11*sqrt(7)/2
Simplify (((-3*sqrt(252)*4 - (-2 + sqrt(252) + -1)) + 2)*3)**2.
-7020*sqrt(7) + 383517
Simplify (0 + sqrt(2))*-2 + ((2 + sqrt(2)*-1 + sqrt(2) + sqrt(2))**2 - sqrt(2)) + -2 + -2*sqrt(72).
-11*sqrt(2) + 4
Simplify (-2 + 1 + -1*sqrt(405) + sqrt(405))**2*-1.
-1
Simplify (-2*sqrt(1024)*-5)/(sqrt(648) - (2*sqrt(648)*-4 + sqrt(648)) - sqrt(648)).
80*sqrt(2)/63
Simplify (-1*((sqrt(99) + -5*(sqrt(99) + 1*sqrt(99)) - (0 + -1*sqrt(99))) + 3))**2.
-144*sqrt(11) + 6345
Simplify 6*(-4 + sqrt(171)*-2 + sqrt(171) + sqrt(171) + 2 + 3)*-5.
-30
Simplify -6*(((-1 + sqrt(704))*-3)**2 + sqrt(704) + -2)*3.
-114174 + 2448*sqrt(11)
Simplify (-5*sqrt(352)*-6)/((sqrt(162)/sqrt(36))/sqrt(9)).
240*sqrt(11)
Simplify (sqrt(396)*3*-4 + sqrt(396) + (-2 + sqrt(396) + sqrt(396))*-5 + sqrt(396) + 2)**2.
-2880*sqrt(11) + 158544
Simplify (2*sqrt(500) + 3 - (sqrt(500) + 1 + -3)**2)*6.
-3006 + 360*sqrt(5)
Simplify (0 + sqrt(117) + 2 - (sqrt(117) + 1 + 0 - sqrt(117)) - ((sqrt(117) - (sqrt(117) + 3 + -2*sqrt(117))) + 3))**2.
-6*sqrt(13) + 118
Simplify ((sqrt(76) + sqrt(76)*-2)*1)/(sqrt(484) + sqrt(484)*2).
-sqrt(19)/33
Simplify ((sqrt(396) + -5)**2 + -2 + sqrt(176))*-3.
-1257 + 168*sqrt(11)
Simplify (-4 + (sqrt(112) - (sqrt(112)*3 + -4 + sqrt(112))) + -1)**2.
24*sqrt(7) + 1009
Simplify (sqrt(2880) + 2*sqrt(2880) + (sqrt(1125)*-4 + sqrt(1125))**2)*-6.
-60750 - 432*sqrt(5)
Simplify -4 + -3*((sqrt(363) + -1*sqrt(363))**2 + -3 + -6*(1 + sqrt(363) - sqrt(363))).
23
Simplify (-5 + (5*(sqrt(75) + 1) + 1*((sqrt(75) + 3 - sqrt(75)) + sqrt(75)))*6)**2.
15480*sqrt(3) + 99049
Simplify (-6*-6*1*(5 + (sqrt(128) - (sqrt(128) + 1)))*-2)**2.
82944
Simplify -2*(sqrt(72)/(((sqrt(8)/sqrt(2) - sqrt(4)) + sqrt(4))*5) - ((2*sqrt(216))/sqrt(12) - (sqrt(18)*1 + -2))).
4 + 24*sqrt(2)/5
Simplify -2 + (sqrt(1617)*-2)/(2*sqrt(1584)).
-2 - 7*sqrt(3)/12
Simplify (-3 + sqrt(48))**2 + -3 - (0 + sqrt(243)).
-33*sqrt(3) + 54
Simplify (sqrt(84)*-1 + (sqrt(126) + (sqrt(126) + (-2*sqrt(126) - sqrt(126)) - sqrt(126)))/sqrt(6))/((sqrt(216) - 5*sqrt(216) - sqrt(216))/sqrt(8)).
4*sqrt(7)/15
Simplify ((2*sqrt(216))/sqrt(9))/(sqrt(432)*-1 + sqrt(12)).
-2*sqrt(2)/5
Simplify (sqrt(66)*1*3*1)/(1*sqrt(6)*-4*-3).
sqrt(11)/4
Simplify -2 + (-1*(-5 + sqrt(891) + 0) + -3)**2.
-36*sqrt(11) + 893
Simplify 2 + ((sqrt(165)/sqrt(5)*5 + sqrt(33))/(1*sqrt(3)*-4))**2.
107/4
Simplify ((sqrt(204)*1*-3 + 4*(-1*sqrt(204) + sqrt(204)))/(-6*(sqrt(432)*1 + sqrt(432) + sqrt(12))))**2.
17/676
Simplify (2*(sqrt(156) - 2*sqrt(156))*-6)/(-3*sqrt(588)*-2).
2*sqrt(13)/7
Simplify 4*(3 + sqrt(68))*-1*2.
-16*sqrt(17) - 24
Simplify ((sqrt(99) + (sqrt(99) - sqrt(99)*2)*5 + sqrt(99) - sqrt(99)) + -5*-2*sqrt(99))/((sqrt(900) - (2*sqrt(900)*4 + sqrt(900))) + sqrt(900)).
-3*sqrt(11)/35
Simplify 3*(((sqrt(96)/sqrt(4) - sqrt(24))/sqrt(2))/sqrt(6) + -4 + sqrt(24)/(sqrt(12)*1)).
-12 + 3*sqrt(2)
Simplify (((sqrt(78) + (1*sq
|
{
"pile_set_name": "DM Mathematics"
}
|
actor of t and 60.
30
Suppose 4*w - 4*f - 456 = 0, -117*w - 3*f + 134 = -116*w. Calculate the highest common divisor of 68 and w.
17
Let j(h) = h + 3. Let i be j(-3). Suppose -2*n + i = -12. Suppose 3*w - w = 108. What is the greatest common factor of n and w?
6
Let i be (10/65*13)/((-6)/(-111)). What is the highest common divisor of 296 and i?
37
Let h(z) = z**3 - 10*z**2 + 6*z - 13. Let i be h(11). Let d = i - 166. Calculate the highest common factor of 4 and d.
4
Let y be 1 - -1 - (-375)/(-5). Let o = y + 115. What is the greatest common divisor of 14 and o?
14
Let h(c) = 21*c**2 + 2*c - 3. Suppose -2*v + 2 = -0. Let s be h(v). What is the greatest common divisor of s and 220?
20
Let b be (2/(-2))/(507/(-63) - -8). What is the greatest common factor of b and 1?
1
Suppose 4318 = -5*k - 2*w, 1731 = -2*k + w + 2*w. Let r be k/(-63) - 3*(-2)/21. What is the greatest common factor of r and 14?
14
Suppose -3*d + 70 = 373. Suppose 0 = -5*t + 2609 - 454. Let l = t + d. What is the greatest common factor of l and 33?
33
Let c be 1128/(-6)*36/(-16). Calculate the greatest common factor of c and 9.
9
Suppose 1608 = 130*u - 63*u. Suppose -s + 3*c = -9, 2*s - s - c - 5 = 0. Calculate the greatest common factor of u and s.
3
Suppose 0 = 30*u - 23*u - 84. What is the greatest common factor of u and 48?
12
Let a be (-1)/((-1)/(-1)) - (-61 - -42). What is the highest common divisor of a and 2?
2
Let q = -207 + 539. Let w = -228 + q. Let z = 73564 - 73551. What is the greatest common divisor of w and z?
13
Let u be 6 + 9*(-10)/(-15). Suppose b = -2*b - 21. Let s = u + b. Calculate the greatest common factor of s and 10.
5
Let a be -415*8/(-52) + (-4)/(-26). What is the highest common divisor of 16 and a?
16
Let n = 208 + -199. Suppose 29 = 4*q - 195. Suppose n*b - q = 7*b. What is the greatest common divisor of 70 and b?
14
Let j be (-5)/(75/276)*3610/(-76). What is the greatest common divisor of j and 38?
38
Let i(u) = -u**3 + 3*u**2 + 6*u - 2. Let q be i(4). Let t(l) = 1 - 3 - q + 1 - 5*l. Let a be t(-6). What is the greatest common divisor of 23 and a?
23
Suppose 0 = 16*l - 18*l - 20. Let j(v) = v**2 + 8*v + 10. Let w be j(l). Let t = -15 + w. Calculate the highest common factor of t and 165.
15
Suppose 18*n - 23*n + h = -20, 0 = -2*h - 10. What is the greatest common divisor of n and 51?
3
Suppose 2*k + 2*k = 4*b + 16, -3*k = -b - 14. Let t(j) = 8*j + 4. Let d be t(k). Calculate the highest common divisor of d and 33.
11
Let f be 3 + (0 - 1) + -2. Suppose -3*d + f*d = -24. Let r be (10/(-8))/(d/(-384)). What is the greatest common divisor of 40 and r?
20
Let l be -4*(0 - (0 - 3)). Let a = -9 - l. Suppose 7*z = a*z + 56. Calculate the greatest common divisor of 42 and z.
14
Let m(z) = -2*z**3 - 18*z**2 + 7. Let f be m(-9). What is the greatest common divisor of 462 and f?
7
Let b be (-7)/((-28)/(-36)) + 1. Let h be (b - -15) + 1/(-1). Calculate the greatest common factor of h and 9.
3
Suppose 0 = 18*i - 520 - 128. Let v be ((-108)/5)/(4/(-30)). What is the highest common factor of v and i?
18
Let k be 14*1*(-4)/(-8). Let j(v) = v + 1 - 5 + 5 - 3. Let f be j(3). What is the highest common divisor of k and f?
1
Let d(x) = x**3 - 53*x**2 - 110*x + 65. Let f be d(55). What is the highest common divisor of f and 13?
13
Let h be 4/(-7) + ((-7660)/(-7))/4. Calculate the greatest common divisor of h and 7.
7
Suppose 5*m = 4*l + 436, 8 = l - 3*l. Let w(s) = 148*s - 136. Let d be w(1). Calculate the greatest common divisor of d and m.
12
Let k = -95 - -157. What is the greatest common divisor of 2 and k?
2
Let y = 1 - 1. Let z(u) = -15*u - 16. Let c(q) = 8*q + 9. Let m(v) = 11*c(v) + 6*z(v). Let x be m(y). Calculate the greatest common divisor of 1 and x.
1
Suppose 198 = 3*u - 3*j, 2*u - 7*u = j - 306. Calculate the greatest common factor of 186 and u.
62
Let r = 11 + -8. Suppose -2*y + 26 = 2*y - 5*t, 3*t = r*y - 18. Suppose o - y*o = -360. Calculate the highest common divisor of 15 and o.
15
Suppose 3*z - z - 86 = 0. Suppose 0 = 4*l - 3*x - 857, -3*l + 510*x - 515*x = -650. What is the highest common factor of l and z?
43
Let v(y) = y**2 + 5*y - 4. Let d be v(-8). Let n = d + -9. What is the greatest common divisor of n and 1?
1
Let d(i) = 9*i - 129. Let m be d(16). Calculate the greatest common factor of 12 and m.
3
Let s = -101 - -103. What is the highest common divisor of 14 and s?
2
Let f be ((-2)/6)/(3/(-63)). Let s = f - 0. Suppose 0 = -61*h + 80*h - 266. What is the greatest common factor of s and h?
7
Suppose -117 = 3*l - 357. Suppose -2*y - 3*x + 120 = 0, -y = -2*x + x - 65. Let p = 73 - y. What is the greatest common divisor of l and p?
10
Suppose 9*h - 259 = -43. What is the greatest common divisor of 32 and h?
8
Suppose 3*t = 266 + 130. Calculate the greatest common divisor of 99 and t.
33
Let o(h) = 2*h**2 + 8*h + 11. Let a be o(-5). Suppose 5*v + 6 = a. Suppose -r + 4*f + 7 = -3, -v*f - 14 = -4*r. What is the greatest common factor of r and 6?
2
Suppose 3*a - 20 = -a. Suppose -3*b = 2*b - a. Let k = -38 - -49. Calculate the highest common factor of k and b.
1
Let a = 186 - 172. Calculate the highest common factor of 518 and a.
14
Suppose 0 = 2*z - 0*z - 5*o + 10, -z + 4*o - 11 = 0. Let i(c) = -46*c + 6. Let v be i(z). Let w be -1 - 3*v/12. What is the greatest common factor of w and 22?
11
Suppose 20*h - 61 = 199. Calculate the greatest common factor of 117 and h.
13
Let l = 281 + -269. Let a be (0 + 70)*(-16)/(-10). Suppose -a = 4*s - 352. Calculate the highest common divisor of l and s.
12
Let o = 112 - 8. Let d = 0 - -5. Let g(i) = -i**3 + 5*i**2 + 2*i + 3. Let b be g(d). What is the highest common divisor of o and b?
13
Let y(l) = 2*l**3 + 29*l**2 + 4*l + 19. Let n be y(-13). Calculate the greatest common divisor of 6 and n.
6
Let k be ((86/(-8) - -2) + -1)*-4. Suppose 0 = k*j - 36*j - 39. What is the highest common factor of 143 and j?
13
Let l = 36 - -120. What is the highest common divisor of l and 12?
12
Suppose -55 = -2*p - 0*p - w, p = -w + 29. Let c be p/10 + 4/10. Suppose c = t - 3. Calculate the highest common factor of 12 and t.
6
Suppose 333 = 3*y - 228. What is the greatest common divisor of y and 85?
17
Let g = -105 - -182. Let z be ((-20)/(-72) + 44/198)*22. What is the greatest common factor of z and g?
11
Let m be 20/3 - (-16)/12. Suppose -4*j + m*j - 660 = 0. Suppose -2*h + 16 = -14. Calculate the greatest common factor of h and j.
15
Let n be 22936/671 + 2/(-11). What is the greatest common divisor of 68 and n?
34
Suppose 14*b - 66 = 12*b. Suppose -f + 11 = -b. Let p be (2/(-4))/((-1)/8). Calculate the highest common divisor of f and p.
4
Suppose -b + 4 = -0*b. Suppose -b*s + s = -3. Let h = -418 - -427. What is the greatest common divisor of s and h?
1
Suppose 0*n + 117 = 13*n. What is the highest common factor of 153 and n?
9
Let d(t) = -t**2 + 6*t + 2. Let n be d(6). Suppose 54 = 5*g - n*g. Calculate the highest common factor of g and 54.
18
Let k(a) = 68*a + 1. Suppose 4 = 2*y - 4*f + 6*f, y - 4*f = 17. Let d be k(y). What is the highest common divisor of d and 31?
31
Suppose -4*h + 27 = -3*o, -h + 2 = 3*o - 1. Suppose 2*g = -h*g. Suppose 2*y = -g*j + 2*j + 98, 4*j + 241 = 5*y. What is the greatest common factor of y and 15?
15
Suppose 69 = 5*j - 2*j - 2*x, 0 = -5*j + 2*x + 119. What is the greatest common divisor of 250 and j?
25
Suppose -2 = -3*x + 10. Suppose -z + x*z = 0. Suppose 5*p - 2*r = -z*r + 75, 5*r - 93 = -4*p. What is the highest common factor of p and 34?
17
Let y(g) = g**2 - 7*g - 6. Let r be y(9). Suppose -10*u = -r*u + 80. Let l be -1 - (1/(-1) + -8). What is the highest common divisor of l and u?
8
Suppose 34*j - 61*j + 20574 = 0. What is the highest common factor of 6 and j?
6
Let w be (4 - 25/5) + 39. What is the highest common divisor of 133 and w?
19
Let w be 21 - -3*(-2)/(-2). What is the highest common divisor of 12 and w?
12
Let x be 9/((-135)/20)*16182/(-248). Suppose -4*r + 2*j + 242 = 0, 5*r + 5*j = 374 - 109. What is the greatest common divisor of x and r?
29
Suppose 2*j - 179 = -3*k, -5*j + 99 = 5*k - 351. Calculate the greatest common factor of j and 28.
7
Let r = 133 - 94. Let f = -15 + r. Suppose -f*a = -23*a - 20. What is the highest common factor of a and 20?
20
Suppose 4*w - 42 + 10
|
{
"pile_set_name": "DM Mathematics"
}
|
)/(-342).
-3/2
Calculate -11 - ((-28)/(-21) + 336/72).
-17
10/(-1) + 6996/693
2/21
What is the value of (-20)/(-110) + 159/33 - -7?
12
Evaluate 177/1197 + 15/(-6) + 303/126.
1/19
Calculate (3 - 20/8)/(-7 + (-387)/(-54)).
3
Calculate 20/2 + (-16490)/1455.
-4/3
What is (6/22)/((-5895)/(-95106))?
22/5
What is the value of (-12)/(30/26 + -1 - 4508/2093)?
6
(-504)/(-35) - (-9 + (-1008)/(-120))
15
What is the value of -2 - 238/68*2/1?
-9
What is the value of 3*3/357 + (19 - (-1072)/(-56))?
-2/17
(-13244)/(-60060) + 4/(-26)
1/15
Calculate 2*(135/1215 - (382/36 - 1)).
-19
Calculate 1/(-2)*(-9 + -14 + 17) - -5.
8
((-1)/4*6 - 3)/(1/2)
-9
Evaluate (130/(-30))/(460/30 + -15).
-13
What is (-10)/(-2) + ((-528)/38 - (9 - 18))?
2/19
What is the value of (34/(-153))/(-4 + -1 + (-38)/(-9))?
2/7
Calculate (-9434)/(-1424) - (7 + 0).
-3/8
What is (-2142)/85 - (-64)/20?
-22
Calculate (-22)/99 + (-9)/81.
-1/3
What is the value of (-13)/(-1612)*-4*(-620)/20?
1
Evaluate (-12)/(-10)*-5 - 46/(-10).
-7/5
(20 - 8) + -7 - 19 - (-4 - -8)
-18
What is -2 - ((-9)/(-6))/((-9)/30) - 20?
-17
What is the value of ((-123)/12)/((-207)/180) - 2/(-23)?
9
What is (-3573)/(-189) - (-418)/(-22)?
-2/21
What is the value of (-12)/26*260/468*6/5?
-4/13
What is the value of -4*16/320*(-15 - 0) + 2?
5
What is the value of (390 + -39)/39 + (-69)/3?
-14
What is the value of 142/8 + 57/228?
18
Calculate (16/(-18))/8 + 13694/3690.
18/5
Evaluate 1*7 + (-10)/(-30*(-19)/(-114)).
9
What is the value of ((-68)/17)/((-140)/(-7))?
-1/5
What is 30/28*(-84)/210?
-3/7
What is 250/1200 + (4 - 1)/24?
1/3
What is the value of 177/236 + 235/(-20)?
-11
Calculate 37/(-148) - (-1)/(60/175).
8/3
34*(-8)/1344 + 21/(-252)
-2/7
What is the value of 3 - ((-35)/(-21))/((-3)/(-27))?
-12
Evaluate ((-2 + 4)/(532/(-114)))/(1/(-1)).
3/7
What is ((-3)/12*-1)/((837/180)/31)?
5/3
What is the value of ((2 - 1) + -5)/4?
-1
Evaluate 1/(22/(-8)) + 312/132.
2
Calculate (7 - (13 + -7))*(-3 - 1).
-4
What is the value of (-39)/(-6) + (-56)/112?
6
3/30 - 0 - (14 + (-219)/10)
8
What is the value of 188/(-517) - 6/(-11)?
2/11
(-66)/(-12)*22/(8 - -3)
11
((-4)/(-6))/(((-4185)/90)/31)
-4/9
414/322*(-14)/(-3)*6/378
2/21
What is (-7 - (-189)/28)/((-13)/12 - -1)?
3
What is 190/4*(152/80)/(-19) - -1?
-15/4
Evaluate (12/10)/(33/55).
2
Calculate 1/(-6) + 4/42*707/404.
0
What is the value of (462/(-63))/22*((-14)/(-12) - 1)?
-1/18
-5 - ((-42 - -53) + (-306)/19)
2/19
Calculate (0 - 1) + (-5 + -6)*(-21)/63.
8/3
-3 + (-432)/(-120)*(-35)/(-21)
3
(-5)/(-21)*-80*(-288)/1600
24/7
Calculate (576/480)/((-54)/(-15)).
1/3
What is the value of 1*14/6*177/(-59)?
-7
What is 22 + (-832)/56 - (-24)/28?
8
Evaluate 47 + -9 + -38*17/34.
19
Evaluate (-231)/44 - (-6)/24*1.
-5
What is -3*((3 - 4125/243) + 14)?
-2/27
What is (-32)/(-66)*(-7110)/3160?
-12/11
((-632)/(-36972))/((-7)/(-9))
2/91
What is the value of (-40)/(-24) + (1 - 25/(-3))?
11
What is (-18)/20*(2550/(-180) - -14)?
3/20
8/9 + 1751*(-44)/3366
-22
Calculate (12 - 14)/(10 - 8).
-1
What is the value of ((-25)/(-10))/(225/(-210)*(-28)/72)?
6
Calculate 6/(-2) - (-5546)/1062.
20/9
What is the value of ((-60)/(-80))/((0 - (-252)/(-8))/(-6))?
1/7
What is (-6)/(-72)*42*(-104)/(-56)?
13/2
What is the value of ((-15)/4)/((-4737)/(-12632))?
-10
What is ((-84)/(-32))/(-7) - ((-116260)/4960 + 23)?
2/31
2/(-53) - 9430/8533
-8/7
What is (8/16)/(37/1850)?
25
What is 106/(-1218) + (-840)/8120?
-4/21
Calculate (64/24)/(7/(-42)).
-16
What is the value of ((-42)/(-126))/(3/36) + -9?
-5
What is (23/(-966)*15)/(50/(-8))?
2/35
What is 12/2 + 33*(-45)/115 + 7?
2/23
What is (-12 - 0) + (30 - 24) - (-54)/8?
3/4
What is 30/(-240)*16 - 48/(-4)?
10
What is (-58)/96 - ((-152)/12 - -3 - -9)?
1/16
3 - ((-254)/(-132) - 38/(-228))
10/11
Evaluate (8/90)/((148/(-259))/((-12)/70)).
2/75
Calculate (-28)/(-5)*(16 - (-533)/(-26) - -7).
14
Calculate 34*(-4)/(-10) + 302 + -316.
-2/5
Calculate (-118)/320 - (-30)/(-9)*663/(-5525).
1/32
Evaluate (-1092)/936*(-3)/(-42).
-1/12
What is (-1080)/(-88) + -6 - (-34 + 4)/(-5)?
3/11
Calculate (0 + (-3)/(-4))/((-11400)/3040).
-1/5
Evaluate (-34)/289 + 3 + (-265)/85.
-4/17
Evaluate (((-4)/20)/((-18)/150))/(-1).
-5/3
What is the value of (1 - (-11)/(-33))/(-3 + (-305)/(-105))?
-7
Calculate 1*(5/(20/16) + 9).
13
Calculate -13 + (-693)/(-11) + (-7 - (7 - 4)).
40
What is (1854/(-96) - -19)*4/20?
-1/16
What is the value of 2/(-8) + (-1497)/(-3108) + 76/(-266)?
-2/37
Calculate (-28 - (-1032)/36)*-15.
-10
Evaluate 1100 + -1103 + (-2)/2*-11.
8
Calculate (6640/(-62997) - (-2)/22)*-3.
1/23
(1 + (-87)/81)/((-45)/900*10)
4/27
What is the value of 1*11 + (-79764)/8211?
9/7
What is 2/(2/3)*(-312)/117?
-8
Calculate (22/14)/(3 - 20/7).
11
What is the value of ((-731)/344 - (-3 + 1)) + 350/1520?
2/19
What is ((-23)/1)/((-576)/320) - (-4)/18?
13
Calculate 2/25 + 10168/(-24600).
-1/3
What is the value of (6/15)/((-11)/385)*2/4?
-7
Calculate (-5)/(12/((-1224)/595)).
6/7
Calculate ((-12)/(-22))/((-3)/11 - (-40)/110).
6
((-5100)/(-90) - 57)/((-11)/(-3))
-1/11
Evaluate (-16)/(128/(-24)) - (30 - 9).
-18
What is ((-16)/(-3))/(-12 + 722/57)?
8
Calculate -3 + (-290)/116*4/5.
-5
Calculate (-4)/(-1) + (-883 - -872).
-7
Evaluate (3/30*5)/((-36)/72).
-1
What is (-4)/(-6) + 40/(-45)?
-2/9
Evaluate (9/(-135)*12)/((-5)/(-675)*-6).
18
What is (78/897 - (-260)/184)/((-2)/28)?
-21
What is ((-376)/470)/((-2)/(-5))*(-7)/2?
7
Evaluate (-176)/110*(-120)/64.
3
Evaluate (-1836)/(-714)*(-14)/(-4).
9
What is the value of (-23 + 676/39)*(-6)/(-10)?
-17/5
Calculate (-86 - -84)*1/((-1)/(-5)).
-10
30/42*-7 - -21
16
Evaluate 2432/(-240) - (-50)/5.
-2/15
Calculate 1*(-9 - ((-324)/(-40))/((-12)/16)).
9/5
Calculate (-96)/126 - 70/(-49).
2/3
7/(28/(-114)) + 4 + 93/(-62)
-26
Calculate 24 - 102*2/12.
7
Calculate -5 - (333/(-27) + 0 + 8).
-2/3
What is the value of 5/(-3)*(-60)/(-57 - -37)?
-5
What is the value of (-21)/(-28)*(-64)/(-6384)*-14?
-2/19
-14*(21/(-70) - 68/(-85))
-7
3/(-15)*(-4 - ((-204)/(-72) - 6))
1/6
What is (((-11)/((-22)/4) - 10) + -5)*1?
-13
Calculate 7 + (-12)/(-24)*-4.
5
What is 270*9/594 - 4?
1/11
What is the value of 2/(-64)*(-72 - -74)?
-1/16
Evaluate (-6)/5*26/130*-25.
6
Evaluate 1143744/(-51888) - (-23 - -1).
-2/47
What is the value of 17 + -50 + 700/112*8/5?
-23
What is 105/(-6) + 3 + (520/16)/13?
-12
Evaluate 0/(-3) - ((-52)/13 + 11/2).
-3/2
What is the value of 4 + 129/(-33) + (-357)/539?
-4/7
Calculate 11/((-330)/(-160))*(-18)/360.
-4/15
Calculate (-7)/((-84)/27)*(-7 - 384/(-54)).
1/4
Calculate (-304)/40 - ((-2 - -6) + -12).
2/5
Evaluate 5*(5 - 3) + (16 - (-9 + 23)).
12
(-39)/(-832)*8 - (-13)/(-112)*2
1/7
Calculate 194/30 - (-3230)/(-510).
2/15
What is the value of 6/(-39) - ((-2896)/(-104) + -21)?
-7
What is (-4)/(-60) + 22644/4590?
5
Calculate (1/(-3)*-1)/(50/(62100/(-23))).
-18
What is the value of (18 - 7596/144) + 35?
1/4
Evaluate ((-304)/1330*9/(-24))/((-2)/(-14)).
3/5
Evaluate 1113/84 + (-16)/(-192)*-15.
12
Evaluate (38/(-50) + (-1)/(-1))*310/93.
4/5
(-28 + 1098/39)/((-244)/(-52))
2/61
What is the value of ((11/6)/(43/(-86)))/((-2)/6)?
11
(-2*(-7 + (-639)/(-90)))/(259/(-70))
2/37
24/(-18) - 578/102*(2 + -4)
10
What is (12936/(-1232))/((-2)/4)?
21
What is the value of 1/(-15)*(-42 + 54) - 183/15?
-13
Evaluate (-14)/(-8) - 14*(-717)/(-5544).
-2/33
(3 + 1)/((-3176)/(-3970))
5
What is ((-58)/(5104/(-165)))/(3/6*3)?
5/4
(162/(-5103))/(1 + (-4)/6)
-2/21
Calculate ((-140)/(-60))/(-3 - 26/(-6)).
7/4
(-62 - (27 - 86))/((0 - 2)/20)
30
What is (-1 - (-10)/6)/((-370)/(-18870))?
34
What is ((-7)/4)/((-3)/12 + 0/(-8))?
7
((-168)/(-60))/(10 + 312/(-30))
-7
What is ((-27435)/236 + 121)/(0 + 2/16)?
38
What is (-225)/20 + (-80)/(-64)?
-10
What is the value of -3 + 14 + 1356/(-120)?
-3/10
Evaluate (-27)/(-3) - (-4228)/(-476).
2/17
((-2)/(-74))/(234/468)
2/37
Calculate (-7 - (-5)/(195/267)) + (-153)/273.
-5/7
What is the value of (-6)/(-4) - (-10 + (-261)/(-18))?
-3
2/21 + ((-1144)/546 - 1)
-3
What is the value of ((-450)/10 + 54)*2/6*-5?
-15
What is the value of ((-78)/91)/(((-105)/70)/((-7)/9))?
-4/9
What is (318/212)/((-2)/32) - -9?
-15
8/5 - -27*(-12)/(-60)
7
Calculate (-472)/34 - (3030/(-255) - -12).
-14
What is the value of (-100)/560*77*8/(-5) + -7?
15
408/(-180) + 4/15
-2
What is the value of 2784/(-3744) - (-1)/13?
-2/3
What is the value
|
{
"pile_set_name": "DM Mathematics"
}
|
2, -1, 413, -3 in decreasing order.
413, 2, -1, -3
Put -0.4, 0, 21 in decreasing order.
21, 0, -0.4
Put -1/4, -0.025, -2 in ascending order.
-2, -1/4, -0.025
Sort 3, -5/3, 15, 2/5 in descending order.
15, 3, 2/5, -5/3
Put -60, 3, -9 in ascending order.
-60, -9, 3
Sort 5, 443, -3, 20, 1/10 in increasing order.
-3, 1/10, 5, 20, 443
Sort -139, 4/9, 1.
-139, 4/9, 1
Sort 3, -1, 51, 1 in increasing order.
-1, 1, 3, 51
Sort -0.3, 5/3, 2, -1 in ascending order.
-1, -0.3, 5/3, 2
Sort 1, -5, 87 in decreasing order.
87, 1, -5
Put -0.5, 0.5, -1, 8, -36 in decreasing order.
8, 0.5, -0.5, -1, -36
Put 1/14, -0.4, 1, 0.028 in descending order.
1, 1/14, 0.028, -0.4
Sort -3, -2, 11, 3 in descending order.
11, 3, -2, -3
Sort 4, -4, -2, -12.
-12, -4, -2, 4
Sort 2/11, -3, 1/25, 2/7 in descending order.
2/7, 2/11, 1/25, -3
Put 2, 6, 5, -5, -56 in decreasing order.
6, 5, 2, -5, -56
Put 2, -5.23, 2/7 in increasing order.
-5.23, 2/7, 2
Sort 1, 3, 0 in ascending order.
0, 1, 3
Sort 64, -1, 29.
-1, 29, 64
Put -0.2, 3/22, -2/11 in decreasing order.
3/22, -2/11, -0.2
Sort -3, 80, 249.
-3, 80, 249
Sort 8, 4, 21 in decreasing order.
21, 8, 4
Sort 6, -1/4, -3/64 in ascending order.
-1/4, -3/64, 6
Sort 0.1, -1/3, -6, 1, 4/5.
-6, -1/3, 0.1, 4/5, 1
Put -2, 0, 11/12 in descending order.
11/12, 0, -2
Sort 2, 0.4, -73 in decreasing order.
2, 0.4, -73
Put 5, -4, -102, -5 in decreasing order.
5, -4, -5, -102
Put -89, 4, -0.1, 0.5 in decreasing order.
4, 0.5, -0.1, -89
Put 34, 0.5, -2, -5/7 in ascending order.
-2, -5/7, 0.5, 34
Sort -5, 2, 20.
-5, 2, 20
Put 0.4, -0.1, 4, 6 in decreasing order.
6, 4, 0.4, -0.1
Put -0.33, -0.4, 14 in descending order.
14, -0.33, -0.4
Sort 10/9, 5, -0.2, 1, 0.5.
-0.2, 0.5, 1, 10/9, 5
Sort 105, -0.5, -0.2, 0.3.
-0.5, -0.2, 0.3, 105
Put -2, -791, 2, -3 in decreasing order.
2, -2, -3, -791
Put 0, 6/5, -2 in decreasing order.
6/5, 0, -2
Sort 4, -0.4, -68 in ascending order.
-68, -0.4, 4
Sort 2, 11, -4, -2.
-4, -2, 2, 11
Sort -3, -17, 4, 3 in ascending order.
-17, -3, 3, 4
Sort 0.143, -2/3, 5 in decreasing order.
5, 0.143, -2/3
Put 53, 5, -40 in decreasing order.
53, 5, -40
Sort 3, 8, 2, -5, -37 in ascending order.
-37, -5, 2, 3, 8
Sort 15.84, -4, 3, 0.04 in increasing order.
-4, 0.04, 3, 15.84
Put -2, -1, 160 in descending order.
160, -1, -2
Sort -1/3, 2, -2/9, -0.5 in increasing order.
-0.5, -1/3, -2/9, 2
Sort -0.3, -6, 2/191, 0 in increasing order.
-6, -0.3, 0, 2/191
Sort -138, 0, -1.
-138, -1, 0
Sort 2, -0.5, 1/53, 6, 2/7.
-0.5, 1/53, 2/7, 2, 6
Sort 7, -5, -52, 5 in ascending order.
-52, -5, 5, 7
Sort 5, -53, 2, -15, -4 in ascending order.
-53, -15, -4, 2, 5
Put 3, 5, -4/3 in descending order.
5, 3, -4/3
Put -2, 4, 1, -1 in decreasing order.
4, 1, -1, -2
Sort -55/6, 4, -13 in increasing order.
-13, -55/6, 4
Sort 3/4, 14/9, -43, -2/7 in descending order.
14/9, 3/4, -2/7, -43
Sort -0.038, 2/7, 0.5, -4, 6.
-4, -0.038, 2/7, 0.5, 6
Put 4, -0.3, -7507 in descending order.
4, -0.3, -7507
Sort 17, -1/3, -0.2.
-1/3, -0.2, 17
Put 0, -1/2, -0.115 in increasing order.
-1/2, -0.115, 0
Sort -30, -4, 1 in decreasing order.
1, -4, -30
Put -48, 3, -3, 0 in ascending order.
-48, -3, 0, 3
Put 0, 17, -5, 6 in increasing order.
-5, 0, 6, 17
Sort 3/8, -2/3, 3.2 in decreasing order.
3.2, 3/8, -2/3
Sort 0, -5, -20, -1 in ascending order.
-20, -5, -1, 0
Put 1, -93, -3 in decreasing order.
1, -3, -93
Put -1, -36, 2 in decreasing order.
2, -1, -36
Sort -49, -8, 4 in descending order.
4, -8, -49
Sort 0, 2/13, -0.5, -1 in decreasing order.
2/13, 0, -0.5, -1
Sort 4, -15, 0, 3, -4 in descending order.
4, 3, 0, -4, -15
Sort -147, -4, 4, 3 in increasing order.
-147, -4, 3, 4
Sort -10, -1, -3, 5/2 in increasing order.
-10, -3, -1, 5/2
Sort 0, -44, 2 in increasing order.
-44, 0, 2
Put -20, 23, 0 in decreasing order.
23, 0, -20
Sort 0, -2, 98 in decreasing order.
98, 0, -2
Sort 4, -2, 3 in descending order.
4, 3, -2
Put 2, 1115, -5 in ascending order.
-5, 2, 1115
Put -1, -11, 1/2, 1/4, -169 in descending order.
1/2, 1/4, -1, -11, -169
Sort 5, 4.132, 1/6 in increasing order.
1/6, 4.132, 5
Sort -1, 19, 4, -5 in descending order.
19, 4, -1, -5
Sort 281, 0, -3 in descending order.
281, 0, -3
Put -0.4, 5/2, 93 in decreasing order.
93, 5/2, -0.4
Put -0.4, 3, 6, -1/5 in increasing order.
-0.4, -1/5, 3, 6
Sort -5, 27, 5, 1 in decreasing order.
27, 5, 1, -5
Put 0, 3, 2, 4 in decreasing order.
4, 3, 2, 0
Sort -4/5, -5, -1, -3/8.
-5, -1, -4/5, -3/8
Sort 0.2, 4/37, 11, 0.3 in descending order.
11, 0.3, 0.2, 4/37
Put -3, -2, -174 in ascending order.
-174, -3, -2
Sort -5, 13, -2, 0.3, -63 in ascending order.
-63, -5, -2, 0.3, 13
Put -2/11, -0.2, -2/31 in descending order.
-2/31, -2/11, -0.2
Put 5, -24, 533 in decreasing order.
533, 5, -24
Sort -2, -3, 65 in descending order.
65, -2, -3
Sort 0.4, 3, -4/3, 5, -13/4 in decreasing order.
5, 3, 0.4, -4/3, -13/4
Put -0.1, -3, 14 in decreasing order.
14, -0.1, -3
Put -4, 18, 1, 2/7, 4 in increasing order.
-4, 2/7, 1, 4, 18
Sort 1/5, -0.5, -458/5 in decreasing order.
1/5, -0.5, -458/5
Put -2/3, 0, -116/9 in descending order.
0, -2/3, -116/9
Sort 4, -1, -7, -24, 3 in descending order.
4, 3, -1, -7, -24
Sort -4, -5, 0, -3.
-5, -4, -3, 0
Put -1, 4, 3, 2 in descending order.
4, 3, 2, -1
Sort -25, 5, -7, 3 in increasing order.
-25, -7, 3, 5
Sort -29, 21, -3 in ascending order.
-29, -3, 21
Put 4, -5, -66 in increasing order.
-66, -5, 4
Put 8, -5, 4, 1555, 3 in decreasing order.
1555, 8, 4, 3, -5
Sort 5, -58, 2/7.
-58, 2/7, 5
Put 6, 1, 2 in increasing order.
1, 2, 6
Sort -4, 1, -97 in increasing order.
-97, -4, 1
Sort 6, 7, -3.
-3, 6, 7
Sort 0, -2/15, 0.513, -2 in decreasing order.
0.513, 0, -2/15, -2
Sort -65/12, 6, 0.4 in ascending order.
-65/12, 0.4, 6
Sort -3, 6, 5, -5 in ascending order.
-5, -3, 5, 6
Sort 8, -4, 1.
-4, 1, 8
Sort -2, -1, 0, 2 in descending order.
2, 0, -1, -2
Sort 0.4, -2, 0.06, 1 in descending order.
1, 0.4, 0.06, -2
Sort 4, 5, -14 in decreasing order.
5, 4, -14
Sort -0.5, 0.35, 2/3, -1/7 in decreasing order.
2/3, 0.35, -1/7, -0.5
Sort -0.03, 1, -0.4 in descending order.
1, -0.03, -0.4
Sort 2/5, -7, 2, -5 in decreasing order.
2, 2/5, -5, -7
Sort 1/12, -4, 1.
-4, 1/12, 1
Sort 18382, 0, -2 in descending order.
18382, 0, -2
Sort 2.1, 2/5, -0.5, -6/163, -5 in descending order.
2.1, 2/5, -6/163, -0.5, -5
Put -30, -1/5, 5/3 in decreasing order.
5/3, -1/5, -30
Put -0.11, -11, 2 in descending order.
2, -0.11, -11
Put 5, -1, -295, -3, 2 in decreasing order.
5, 2, -1, -3, -295
Sort 4, 3, -8, 17 in decreasing order.
17, 4, 3, -8
Sort 2/3, 33/7, -4 in decreasing order.
33/7, 2/3, -4
Put -2/11, -7084, 3 in decreasing order.
3, -2/11, -7084
Sort 2, -87, -4, 5 in descending order.
5, 2, -4, -87
Sort -5/13, -1, 0.3.
-1, -5/13, 0.3
Put -0.5, -1/4, -3, 2/11 in descending order.
2/11, -1/4, -0.5, -3
Sort 5, 1/38, 6/5, -2.
-2, 1/38, 6/5, 5
Sort -49, -2, -20, 4 in increasing order.
-49, -20, -2, 4
Sort -3, 1, -54, 3 in increasing order.
-54, -3, 1, 3
Put 0, 1994, 5 in ascending order.
0, 5, 1994
Put -144, -3, -2 in decreasing order.
-2, -3, -144
Sort -3/8, -4, -1/9.
-4, -3/8, -1/9
Sort 447, -1, 0.
-1, 0, 447
Sort -1, -2, -4.48 in decreasing order.
-1, -2, -4.48
Put -13, 2, 0.4 in ascending order.
-13, 0.4, 2
Put -1, -3/7, -16, 3 in decreasing order.
3, -3/7, -1, -16
Put 5, -4, 44, 0.5 in ascending order.
-4, 0.5, 5, 44
Put -5, 7, -8, 5 in ascending order.
-8, -5, 5, 7
Sort -2/9, -2, 2, -4 in decreasing order.
2, -2/9, -2, -4
Sort 2, -6, 5/4, 1.
-6, 1, 5/4, 2
Sort 0.5, -560, 3/4 in descending order.
3/4, 0.5, -560
Put -2/9, -1/4, -2/13, 0.3, -4 in descending order.
0.3, -2/13, -2/9, -1/4, -4
Sort 8/7, -4.4, 2/9, -0.5 in increasing order.
-4.4, -0.5, 2/9, 8/7
Put 1/4, -2, -4 in decreasing order.
1/4, -2, -4
Sort 2, -2, -31 in decreasing order.
2, -2, -31
Sort -1/6, 1, 78, 2/3 in ascending order.
-1/6, 2/3, 1, 78
Put 0.13, 0, 3/4, -0.3 in descending order.
3/4, 0.13, 0, -0.3
Sort -0.1, -51, 6.
-51, -0.1, 6
Sort -8, -0.3, 3, -2 in ascending order.
-8, -2, -0.3, 3
Sort -2, 2, 4.
-2, 2, 4
Sort -63, -1, -0.4, 3/2 in increasing order.
-63, -1, -0.4, 3/2
Put -16/13, 5, -24/17 in decreasing order.
5, -16/13, -24/17
Sort -0.1, -53, 0.08, 1/4, -0.5.
-53, -0.5, -0.1, 0.08, 1/4
Sort -3, -4, -108, 4, -5 in increasing order.
-108, -5, -4, -3, 4
Put -0.4, 2/7, -3, 8/5 in descen
|
{
"pile_set_name": "DM Mathematics"
}
|
)/q)**(1/59)/(q**22)**2 assuming q is positive.
q**(-2614/59)
Simplify (((d**(-12)*d)**(-14))**(-1/50))**(-2/9) assuming d is positive.
d**(154/225)
Simplify ((i/(i/((i*i/((i/i**(1/2))/i))/i)*i)*i)**(4/9)*i*i**(-2/13)*i**(-1/2))**(-33) assuming i is positive.
i**(-869/26)
Simplify (z**(-3/2)*z)/(z/(z**(17/2)*z*z))*(z**12/z)/(z**8*z*z) assuming z is positive.
z**10
Simplify (y**18/y**(2/13))/(y**(-10/13)*y**(12/11)*y) assuming y is positive.
y**(2363/143)
Simplify (z*z**(-22)/z*z**(-20)*z)/((z*z/(z/(z*z**(1/8))))/((z/(z/(z*z**(3/13)*z)))/z)) assuming z is positive.
z**(-4357/104)
Simplify (c**(-3/5)*(c**(-2)*c)/c*((c/((c*c**(3/4))/c))/c)/c**6)**(-39) assuming c is positive.
c**(7293/20)
Simplify (z*z**(-5/4)*z*z**19*z)/(z*z**(3/11)*z/(((z*z**(3/4)*z)/z)/z*z)) assuming z is positive.
z**(445/22)
Simplify ((r*r/(r**(1/5)/r))**(2/83)*r/(r*r*r/(r*r**(-5)))*r**6)**(1/5) assuming r is positive.
r**(28/2075)
Simplify (d**4/d**(-6/11)*d*d**(-1/2)/d*d**(1/6)/d)**10 assuming d is positive.
d**(1060/33)
Simplify ((h/h**(-1/8))**(-1/7))**(-2/3) assuming h is positive.
h**(3/28)
Simplify (j**(1/8)/j)/(j**(-5)*j)*j**(4/13)*j/(((j/j**18)/j)/j) assuming j is positive.
j**(2437/104)
Simplify (n**(-1/5)*n/(n*n**(-10)))/(n/n**16*n**(-15)/n) assuming n is positive.
n**(204/5)
Simplify (w**(2/21)*w)/w**(-6/11)*w**(2/17)/w**(-1/28) assuming w is positive.
w**(28181/15708)
Simplify u**(2/49)*u*u/u**(-8)*u*u*u/u**3*u**(2/7) assuming u is positive.
u**(506/49)
Simplify ((x**1/x*x)/x)/x**(1/6)*x**(-1)*x**(-11)/x assuming x is positive.
x**(-79/6)
Simplify (g/(g/(g*g/(g/g**(-1/11)*g*g))))**(-3)*(g*g*g*g**(2/7)*g)**48 assuming g is positive.
g**(16092/77)
Simplify (t**(2/3))**(-11/3)*(t**(1/15)/t*t)**(-44) assuming t is positive.
t**(-242/45)
Simplify ((f/f**(2/45))/(f/f**(-1/26)))**(-44) assuming f is positive.
f**(2134/585)
Simplify (n**2*n*n*n**(2/7)*n**(4/7)/(n*n**(-3/5)))**(-33) assuming n is positive.
n**(-5148/35)
Simplify (k/((k*k**(2/7))/k*k*k)*k)**(-25)/((k/(k**(-4/5)*k*k))/(k/(k*k**(-3/16)))) assuming k is positive.
k**(4217/560)
Simplify (o/(o*(o/(o*o**26))/o)*o**(-2/95)*o)**12 assuming o is positive.
o**(31896/95)
Simplify (z**(-18)*z)/z*z**(-8/7)*z/z**(2/21)*z*z**(18/11)*z assuming z is positive.
z**(-3373/231)
Simplify (m*m*m**3/m)/m**(-3/8)*m*m**2*m**(-1/5)*m assuming m is positive.
m**(327/40)
Simplify (r**(-9/4)*r*r**(-1)*r*r)**(-17/3) assuming r is positive.
r**(17/12)
Simplify (((d/d**(2/5))**33)**(-10))**(-3/8) assuming d is positive.
d**(297/4)
Simplify (d*d/d**(1/58)*d**(-17/5))**(-26/3) assuming d is positive.
d**(1781/145)
Simplify (p/(p**(-6)/p))**12*(p**(1/5))**(-12) assuming p is positive.
p**(468/5)
Simplify (t**21*t**(-1/43))/((t**(-2/9)/t*t)/t*t*(t/(t*t**5))/t*t) assuming t is positive.
t**(10139/387)
Simplify ((l**(-7)*l**1)**(-9))**(1/90) assuming l is positive.
l**(3/5)
Simplify (a/(a**(-12)/a)*a/((a/(a**(20/7)*a))/a))/(((a/(a/a**(-2/5)))/a)/(a/(a/a**10))) assuming a is positive.
a**(1059/35)
Simplify a**(-12)*(((a*a**13*a)/a)/a)/a*(a**(2/3))**(14/9) assuming a is positive.
a**(28/27)
Simplify ((w*w/w**(19/4))/(w**(-1/13)*w))**(-43) assuming w is positive.
w**(8213/52)
Simplify y*y/(y*y**28)*y*y*y**23*y*(y**17*y)**(-3/38) assuming y is positive.
y**(-46/19)
Simplify ((y*y**5*(y/y**(-31))/y)**(-6))**(2/35) assuming y is positive.
y**(-444/35)
Simplify (((y/y**13*y)/y)/y*(y/y**(-7/4))/y*y)/(y/((y*y**19)/y)*y*y/y**(4/13)) assuming y is positive.
y**(315/52)
Simplify (a**(5/2)*a**(-7)*a/(a/(a**(-3/2)/a*a))*a**(3/4)*a*a)**4 assuming a is positive.
a**(-13)
Simplify (k**(-2/7)*k**(2/9)*(k**(-9)*k)/k**(-7))**(-1/17) assuming k is positive.
k**(67/1071)
Simplify (((t*(t*t**(-7))/t)/t*t*t**(-1/10))/(t**12*t*t**(3/13)))**(-40) assuming t is positive.
t**(10052/13)
Simplify ((o/(o*o/(o*o/o**(-1/6))))/o**(-1/11))/(o/(o*o*o*o**(-3)))**(-37) assuming o is positive.
o**(2525/66)
Simplify (x**(-2/11))**29*(x*x/(((x*x/(x*x/(((x/(x/(x**(2/17)/x)))/x)/x)))/x)/x)*x)**(23/3) assuming x is positive.
x**(30944/561)
Simplify (k**0)**(-2/17)/((k*k/k**(-8))/k*k*k*k**1*k) assuming k is positive.
k**(-13)
Simplify (i/((i**5/i*i)/i)*i**5)/(i**(-1))**(-46) assuming i is positive.
i**(-44)
Simplify ((p/(p*p**(-8))*p*p/(p/(p**(-1)/p))*p)/(p**(3/5)/(p/(p/p**(4/3)))))**38 assuming p is positive.
p**(4978/15)
Simplify t/t**(2/27)*t**(-3/2)*(t/t**17)/(t/t**(-5)) assuming t is positive.
t**(-1219/54)
Simplify ((n**4*n**(3/11)*n)**(1/4))**(-2/7) assuming n is positive.
n**(-29/77)
Simplify (z*z/(z*z**(-2/3)/z*z))**(3/23)/((z*z**(4/9)/z*z)/(z*z*z/z**(2/17))) assuming z is positive.
z**(5825/3519)
Simplify i**(-9)*i/(i/((i*i/((i/(i*i**(3/11)))/i*i))/i))*i**(-9)*i**(-10/7) assuming i is positive.
i**(-1398/77)
Simplify ((l**(-1/4))**10*l**(-5)/(((l**3/l)/l*l)/l))**(-2/149) assuming l is positive.
l**(17/149)
Simplify (((k**(-3/4)/k)/k)/k*k*k*k/(((k**(-1/28)*k*k*k*k*k)/k)/k))**42 assuming k is positive.
k**(-156)
Simplify (i/((i*i/i**(2/3)*i*i*i)/i*i*i))/((i**(1/2)*i)/i*i)*(i/i**(1/3))**(-18) assuming i is positive.
i**(-107/6)
Simplify (c*c**(4/13)*c**(-8)*c*c)/(c**(2/37)*c*c**(-3/11)) assuming c is positive.
c**(-28961/5291)
Simplify (p/((p**(1/4)*p)/p)*p**(1/6)*(p**2/p)/p*p*(p*((p/(p**(6/7)*p))/p)/p)/p*p)**(-22) assuming p is positive.
p**(-55/42)
Simplify ((s/((s*s/((s/s**(6/11))/s)*s)/s)*s/s**(-2/9))/(s**(-1))**(-17))**48 assuming s is positive.
s**(-27440/33)
Simplify (p*p*p**(-17)*p)/p**(1/2)*p**(17/5)/(p**(-7/4)/p*p*p) assuming p is positive.
p**(-207/20)
Simplify (f**(-3)*f/(f/(f**(-1/8)/f))*(f**(1/4))**(-2/137))**13 assuming f is positive.
f**(-58825/1096)
Simplify (z**(1/20)/z)**(-11/3)*(z*z**(-2/39))/(z**(-4/3)/z*z*z) assuming z is positive.
z**(1239/260)
Simplify (g*g**21*g/(g*g**1))/(g/(((g*g**(-2/7)/g)/g)/g))**(-4/9) assuming g is positive.
g**(1415/63)
Simplify ((s**(1/2))**(-44)/(s**(2/7))**(3/4))**9 assuming s is positive.
s**(-2799/14)
Simplify g**(9/2)*g**18*g**21/g*g*(g/(g/(g*g/(g*g*g*g**(-1/28)*g*g)*g))*g)/g assuming g is positive.
g**(1163/28)
Simplify (x**24/x**15)/(x/(x/x**(-20))*x**(2/67)) assuming x is positive.
x**(1941/67)
Simplify (o**(-6))**(-46)*(((o*o**(2/29)*o)/o)/o)/o**(4/7) assuming o is positive.
o**(55926/203)
Simplify (z**(-21))**(-9/4)*(z/(z/(z**(-3/4)*z)))**(-15) assuming z is positive.
z**(87/2)
Simplify (f*f*f**(1/3)*f*f*f)**(-1/51)*((f/(f/(((f*f**3*f)/f)/f)*f*f))/f)**6 assuming f is positive.
f**(-16/153)
Simplify n**(-1/6)/((n/n**(3/5))/n)*(n**0)**(-11/2) assuming n is positive.
n**(13/30)
Simplify (b/b**(2/19))**(-6/11)*(b**(1/3)*b)**(3/46) assuming b is positive.
b**(-1928/4807)
Simplify (r**(-1/4))**25/(r**5/r**(6/17)) assuming r is positive.
r**(-741/68)
Simplify (n**8/n**1*n**10/(n**5/n))**(-1/44) assuming n is positive.
n**(-13/44)
Simplify ((c/(c**31/c))/c*c**(3/23))/(c**(-1/14))**(-5) assuming c is positive.
c**(-9733/322)
Simplify (((x**(3/11)*x)**0)**(-12))**(-1/14) assuming x is positive.
1
Simplify ((r**(-8)*r*r)**(2/59))**44 assuming r is positive.
r**(-528/59)
Simplify ((b/(b/(b/b**(-3)*b*b)*b))/b)**(1/9)*b**(-2/17)/((b*b/b**(2/13))/b*b*b) assuming b is positive.
b**(-5011/1989)
Simplify ((d*d/d**(-2/3)*d)**(-2/13)/((d**(-4/5)*d)/(d*d/(d**5*d))))**(16/9) assuming d is positive.
d**(-14864/1755)
Simplify ((j/(j*j**(-19)))/j**(5/7))/((j**(-1/9)/j)/j*j**(-11)) assuming j is positive.
j**(1978/63)
Simplify ((c/c**(-1/5))/(c/(c*c**(5/6))))/((c/c**0)/c**7) assuming c is positive.
c**(241/30)
Simplify (l*l**(1/8))**(5/3)/((l*l**(-4/3))/(l**(-7/2)/l)) assuming l is positive.
l**(-55/24)
Simplify (c**(1/9))**(-34)/((c/c**(-2/45))/c**(-2/7)) assuming c is positive.
c**(-1609/315)
Simplify ((c/(c/c**(-6)))/(c/(c**16*c)))/(c/c**(8/9)*c*c**(-1/10)) assuming c is positive.
c**(809/90)
Simplify o/(o/(o/o**(2/19)*o)*o)*o**15*o*o*o**(13/2)*o**(1/8)/o assuming o is positive.
o**(3575/152)
Simplify (((t/(t/(t/t**(1/2))))**(-21))**(-10/13))**(-7) assuming t is positive.
t**(-735/13)
Simplify (((d/(d*d**3)*d*d)/(d*d**2))/(d*d*d*d/(d/(d/(d**(-5)/d)))*d*d**(2/5)))**(-1/4) assuming d is positive.
d**(77/20)
Simplify (((b/b**(-1))/b*b*b**(-1/4))**28)**(3/38) assuming b is positive.
b**(147/38)
Simplify n**(2/21)*n*n**(-28)*((n*n*n**(5/8))/n)/(n/(n**(4/3)*n)) assuming n is positive.
n**(-1341/56)
Simplify (j**(1/2))**(-6/17)/(j**0*j*j**(8/9)/
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 5*d - 15. Let j(i) = -5*o(i) + 8*s(i). Determine j(r).
4
Suppose -16 = -3*s - 5*m, -2*m + 20 = 2*m. Let c(k) be the second derivative of 0 - 6*k + 1/6*k**3 + 0*k**2. Give c(s).
-3
Let x(g) = g**2 - 13*g + 19. Suppose -135*w + 143*w - 24 = 0. Suppose -2*v - 16*o = -15*o - 23, 14 = v + w*o. Give x(v).
-3
Let t(a) = 22*a + 338. Let j = 18513 + -18528. What is t(j)?
8
Suppose -80*x - 597 = 123. Let c(g) = g**2 + 9*g - 14. Calculate c(x).
-14
Let p(b) be the second derivative of 2*b**3 + b**2/2 + b - 7. Let l = 158 - 159. What is p(l)?
-11
Let w(h) = -231*h + 16624. Let r be w(72). Let l(j) = 57*j + 465. Calculate l(r).
9
Let h(l) = -l**3 - 10*l**2 - 6*l + 15. Suppose 79 = 78*d - 97*d - 54. What is h(d)?
-90
Suppose 2*m = -4*w - 6, -2*w = -35*m + 40*m - 41. Let o(s) = -15*s**2 + 163*s + 22. Determine o(m).
0
Let b(x) be the third derivative of -x**3 + 30*x + 0 + 1/12*x**4 - x**2 + 1/60*x**5. Determine b(-5).
9
Let p(x) be the second derivative of -x**4/12 + x**3/6 + 5*x**2/2 - x. Let d = 21900 - 21895. Calculate p(d).
-15
Let t(k) = -k**2 + 7*k - 7. Let g(w) be the second derivative of -w**5/20 + 5*w**4/6 + 13*w**3/6 + 3*w**2/2 - 20*w. Let y be g(11). Let a = y - 19. Give t(a).
-1
Let r(m) = m**2 - 4*m. Suppose -4*z = -30 - 6. Suppose -z = -3*i - 0. Suppose i*g = 20 - 8. What is r(g)?
0
Let d be 30/75 - 233/(-5). Suppose d*v = 58*v + 44. Let f(k) = k**2 + 2*k - 5. Give f(v).
3
Suppose c - 2 = -2*g - 0*g, 9 = -3*g. Let r(y) = -9*y**2 + 9*y - 3 - 8*y**2 + 17*y**2 - 3 - y**2. Calculate r(c).
2
Let t(a) = -2*a - 9. Let i be t(-5). Let l(v) = -i + 6 - 5 - 2 + v + v**2. Give l(3).
10
Let y(l) = 39 + 22*l - 20*l - 5 - 20. Determine y(-12).
-10
Let j(c) = -16*c + 247. Suppose 1785 - 4815 = -202*l. What is j(l)?
7
Let o(g) = 5*g + 6*g + 329*g**2 - 665*g**2 + 329*g**2 - 5*g + 13 - g**3. Give o(-7).
-29
Let t(a) = -2 - 282*a + 143*a + 8*a**2 - 2*a**2 + 143*a + 3. Give t(-2).
17
Let f(g) = -804*g + 102921. Let l be f(128). Let b(y) be the second derivative of -y**4/12 + 7*y**3/6 - y**2/2 + y. Calculate b(l).
-19
Let z(x) = -x**3 - x**2 + x - 13. Let m(h) be the third derivative of h**6/120 + 3*h**5/10 + h**4/8 + 9*h**3 - 66*h**2. Let j be m(-18). Give z(j).
-13
Let m = 5 - 4. Let q = 115 - 94. Let p(j) = -23 + 43 - q - 5*j. Calculate p(m).
-6
Let p(m) = -128*m**3 - m**2 + 1. Suppose 5*r + 20176 = 20171. Give p(r).
128
Let b(w) be the second derivative of -w**5/20 + 7*w**4/4 + w**3/3 - 37*w**2/2 - 191*w. Give b(21).
5
Let f(t) = 378*t**2 - 953*t**2 - 4*t + 287*t**2 + 284*t**2 - 2*t**3 - 6 + 0. Determine f(-4).
74
Let g be (-1 - 9)*((-22)/55)/2 + 11. Let m(z) = -z**3 + 14*z**2 - 15*z - 16. Give m(g).
-42
Let n(k) = -189*k + 1185. Let y(v) = 44*v - 296. Let l(p) = 2*n(p) + 9*y(p). What is l(16)?
-6
Let j(o) = o**3 - 15*o**2 + 14*o. Let i be j(14). Let h(s) = 4*s - s**2 + 3*s**2 + i*s + 4 - s**2. Let t(m) = -10*m + 56. Let w be t(6). Calculate h(w).
4
Let c be 6/((-150)/(-95)) - (-77)/385. Let k(m) = 11*m**3 - 10*m**2 - 7*m - 2. Let y(g) = 5*g**3 - 5*g**2 - 3*g - 1. Let b(i) = 4*k(i) - 9*y(i). What is b(c)?
13
Let h(y) = 10*y + 52. Let j be -2*(8 - 9 - -4). Calculate h(j).
-8
Let d(p) be the second derivative of p**4/6 + 5*p**3/6 + 2*p**2 + 2*p. Suppose -2*u - 8 = 2*i, 0*i = i + 5*u + 8. Let r be (i + 6/(-6))*(1 - 0). Give d(r).
16
Let j(s) = 8*s**2 + 2*s + 1. Let f = 85 + -83. Let d be (-7 - 3) + 5 + f*2. Determine j(d).
7
Let n(y) = -2*y - 1. Let k(u) = -4*u - 4. Let h(c) = k(c) - 3*n(c). Let w = -2 - -1. Let j be (-3 - -2)*3*w. Give h(j).
5
Suppose -5*c + 2*c = -3, 2*u = 5*c - 5. Let l(g) be the first derivative of g**2/2 - 9*g - 19. Determine l(u).
-9
Let p(v) = 222*v - 1 - 120*v - 96*v. Calculate p(13).
77
Let j(z) = z**2 + 4*z + 1. Let g = -27 - -29. Suppose -g*t = -4*d - 22, -2*d + 6*d - 5*t = -31. Give j(d).
1
Let y(n) = n**2 - n. Let r be y(0). Suppose 3*j = -3, 4*s + 3*j - 20 = -3. Let l(h) = 11*h + 7. Let g(p) = 9*p + 8. Let b(k) = s*g(k) - 4*l(k). What is b(r)?
12
Let o(j) be the second derivative of j**5/20 - j**4/2 - j**3 - 11*j**2/2 - 89*j - 60. Suppose 11 = a - 0*a + 2*w, -3*a - 2*w = -25. What is o(a)?
-4
Let m(o) = o**2 + 8*o + 4. Let z(y) = 3*y**2 + 23*y + 13. Let c = 103 - 111. Let x(d) = c*m(d) + 3*z(d). Give x(-6).
13
Let h(t) = -t**3 + 3*t**2 - 2*t + 4. Let z(s) be the first derivative of -s**3/3 + 9*s**2 + 22*s - 58. Let b be z(19). Determine h(b).
-2
Let z be ((8/(-20))/((-2)/(-10)))/(-2). Let l(s) = s - z - 4 + 2 + 6. Calculate l(7).
10
Let r(f) = -2*f - 56. Let q be 136369/19716 - (13/(-12) - -1). Calculate r(q).
-70
Let m(s) = -s**3 + 58*s**2 + 255*s - 457. Let p be m(62). Let y(h) = -31*h - 708. Determine y(p).
5
Let t be (-10)/4*(-20 + 18) + 5083/(-1020). Let i(b) be the third derivative of -t*b**5 + 0 + 1/12*b**4 + 16*b**2 + 0*b + 1/3*b**3. Calculate i(4).
-6
Suppose -6 = -4*i + v, -2*i + 235 = -2*v + 229. Let p(x) = 5*x - 1. Determine p(i).
4
Suppose -g - 38 = 3*r, 11*r + 44 = 8*r - 4*g. Let m(k) = k**3 + 12*k**2 - k - 7. Give m(r).
5
Let g(r) = 6*r + 39. Let n(l) = l**3 + l**2 - 24*l + 30. Let q be n(3). Determine g(q).
3
Let k(y) = -y**2 + 14*y + 6. Let v be k(14). Let t be (-2)/v - 70/(-21) - 2. Let n(o) = -7*o. Calculate n(t).
-7
Let t(z) = -77*z**2 + 2*z + 1. Suppose -4*y + 14 = 12*n - 10*n, -20 = 4*n - 4*y. Give t(n).
-78
Let h(p) be the first derivative of -2*p**3/3 + 7*p**2 + 17*p + 2069. Determine h(8).
1
Let d(q) be the second derivative of -q**4/3 - 2*q**3 + 11*q**2/2 + 1566*q. Give d(1).
-5
Let z(l) be the first derivative of -l**4/4 - 5*l**3/3 + 3*l**2 - 9*l + 2085. Give z(-8).
135
Let g(i) = -i - 9. Let q be 315/(-189) + 434/(-6). Let w = 71 + q. Determine g(w).
-6
Let z(o) be the second derivative of o**2 + 2 + 13*o + 1/6*o**3. Determine z(0).
2
Let f(c) = 5*c + 42. Let g be f(-8). Let u(r) = -172*r**2 + 341*r**2 - 5*r - 170*r**g. What is u(-6)?
-6
Suppose -29*u + 64*u = 22*u - 39. Let a(o) = -o**2 + 35*o + 111. Calculate a(u).
-3
Let a(x) = -240 - 283 + 10*x + 806 - 243. Determine a(-6).
-20
Let g(x) = 9*x + 108. Let n(a) = -25*a - 283. Let v(w) = -8*g(w) - 3*n(w). Determine v(-11).
-48
Let p(x) be the third derivative of -38*x**2 + 1/6*x**4 + 0*x - 7/6*x**3 + 0. Give p(2).
1
Let s be (1 + (-54)/45 - (-52)/10) + -6. Let z = 9 + -3. Let u(x) = z*x**3 - x**2 + 6 - 5 + 0*x**2. Calculate u(s).
-6
Suppose 79*f = 80*f - 3. Let z(c) = -4*c**3 + 0*c**2 - c - f*c**2 - c**3. Calculate z(-2).
30
Let c(k) = 2*k**3 - 4*k**2 + 2*k - 7. Let i be -6*(-31 + 34 + (-20)/6). What is c(i)?
-3
Let z(j) = 1 - 6 + 6*j - 5*j + 3. Let m(l) = -l**2 - 8*l - 1. Let r be m(-7). Suppose 8 - r = -n. What is z(n)?
-4
Let u(g) = 74 + 3*g - 14 - 15 - 22 + 7*g. Determine u(-7).
-47
Let h = 3356 - 3351. Let n(a) = 9*a + 6. Give n(h).
51
Let w be -4 - (-4)/(-8)*1*-38. Let s be (-3 - w/(-4)) + 25/20. Suppose -5 = s*g - 17. Let l(z) = -2*z + 4. Give l(g).
-8
Suppose 10 = 2*z, -b + z = 15 - 5. Let o(i) = -1789 + 929 + 860 - 5*i. Determine o(b).
25
Let g(m) = -m - 1. Suppose 2*z - 50 = -5*t, 5*z + 3*t + t = 108. Suppose -u + p = -59 + 42, 5*p = -u + 29. Let o = z - u. Calculate g(o).
-2
Let h(m) be the first derivative of m**3/3 - 13*m**2/2 - m + 44. Let s(v) = -2*v + 1. Let k(l) = -h(l) + 2*s(l). Determine k(10).
-7
Let q(r) be the third derivative of 0 + 0*r - 1/24*r**4 + 67*r**2 + r**3. Give q(3).
3
Let c be (24 + (-49 - -21))/(0 - 4/3). Let y(x) be the third derivative of -x**5/30 + x**4/8 + x**3/2 + 3*x**2. What is y(c)?
-6
Let l be (-1)/(-3) - ((-91)/(-21) - 4). Let o be 1 - l - (4 - 10). Let y(v) = v - 1. Let b(a) = 6*a - 12. Let c(z) = -b(z) + 5*y(z). Determine c(o).
0
Let i(o) = 3*o + 252*o**2 - 3 + 3*o**3 - 246*o**2 - 2*o**3. Let k = 318 - 324. What is i(k)?
-21
Let u(g) = g + 25. Let w be u(-12). Suppose 2*x - w = -21. Let y be (2/x)/(9/(-108)). Let f(n) = n**2 - 6*n. Calculate f(y).
0
Let j be (-24)/(-15) + (-6)/10. Let o(l) = -27*l**3 - 71*l**2 + l - 7. Let x(y) = 24*y**3 + 59*y**2 - y + 6. Let i(d) = -5*o(d) - 6*x(d). Give i(j).
-8
Suppose -3*g - p + 20 = 0, -5*g + 31*p - 35*p = -45. Let d(a) = -a**3 + 5*a**2 - 4*a + 16. Determine d(g).
-4
Let a(w) be the second derivative of -w**5/60 - w**4/8 + w**3/6 + 19*w**2/2 + 16*w + 2. Let u(h) be the first derivative of a(h). Give u(-4).
-3
Suppose 2*w = d - 45 - 53, 2*w = -3*d + 262. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
*3/3 - 54*a**2 - 116*a/3 - 16/3 = 0. What is a?
-1/4, 2, 4
Factor -i**2/9 - 2*i/9 + 8/9.
-(i - 2)*(i + 4)/9
Factor 2*t**4 + 8*t**3 - 6*t**2 - 36*t.
2*t*(t - 2)*(t + 3)**2
Factor -2*w**3/15 - 38*w**2/15 - 12*w/5.
-2*w*(w + 1)*(w + 18)/15
Solve q**4 + 37*q**3 + 248*q**2 + 464*q = 0.
-29, -4, 0
Let 3*i**2/4 - 189*i/2 - 390 = 0. What is i?
-4, 130
Factor -18*o**2 - 394*o + 44.
-2*(o + 22)*(9*o - 1)
Factor -3*u**2/5 - 1638*u/5 - 223587/5.
-3*(u + 273)**2/5
Find m, given that -4*m**5/3 + 110*m**4 - 478*m**3 + 2362*m**2/3 - 574*m + 156 = 0.
1, 3/2, 78
Factor -4*r**2/3 - 32*r - 476/3.
-4*(r + 7)*(r + 17)/3
Determine k so that k**3/7 - 285*k**2/7 - 6000*k/7 - 30500/7 = 0.
-10, 305
Suppose 2*v**3/7 - 16*v**2 - 1560*v/7 - 4896/7 = 0. What is v?
-6, 68
Determine w so that -2*w**5 - 120*w**4 + 248*w**3 - 4*w**2 - 246*w + 124 = 0.
-62, -1, 1
Factor -z**4 + 60*z**3 - 958*z**2 + 1740*z - 841.
-(z - 29)**2*(z - 1)**2
Suppose 4*b**4 + 16*b**3 + 12*b**2 = 0. What is b?
-3, -1, 0
Factor -3*s**2 - 156*s - 2028.
-3*(s + 26)**2
Let 4*o**5 + 76*o**4 + 388*o**3 + 180*o**2 - 648*o = 0. What is o?
-9, -2, 0, 1
Find p, given that -2*p**2/5 + 228*p - 4528/5 = 0.
4, 566
Suppose -2*f**4 + 52*f**3 + 114*f**2 - 52*f - 112 = 0. Calculate f.
-2, -1, 1, 28
Solve b**5/12 + 5*b**4/4 + 35*b**3/12 - 5*b**2/4 - 3*b = 0 for b.
-12, -3, -1, 0, 1
Determine v so that -4*v**3/5 + 36*v**2 + 784*v/5 = 0.
-4, 0, 49
Determine n so that -15*n**3 + 230*n**2 - 75*n = 0.
0, 1/3, 15
Solve -11*t**4/5 - 37*t**3 - 307*t**2/5 - 103*t/5 + 6 = 0 for t.
-15, -1, 2/11
Factor -p**2/7 - 183*p/7 + 558/7.
-(p - 3)*(p + 186)/7
Factor 2*w**2/9 - 2/9.
2*(w - 1)*(w + 1)/9
What is d in -d**3/4 - d**2/4 + d + 1 = 0?
-2, -1, 2
Determine s so that 4*s**3 - 1184*s**2 + 87616*s = 0.
0, 148
Let -3*z**2 + 27*z - 54 = 0. What is z?
3, 6
Factor -2*u**3/5 + 1770*u**2 - 2610750*u + 1283618750.
-2*(u - 1475)**3/5
Factor 3*x**3/4 - 15*x**2/8 - 3*x/2 + 9/2.
3*(x - 2)**2*(2*x + 3)/8
Determine j, given that 12*j**5 - 16*j**4 - 12*j**3 + 16*j**2 = 0.
-1, 0, 1, 4/3
Determine k so that 2*k**4/5 - 13*k**3/5 + 28*k**2/5 - 23*k/5 + 6/5 = 0.
1/2, 1, 2, 3
Factor m**3/9 + 29*m**2/9 + 224*m/9 + 196/9.
(m + 1)*(m + 14)**2/9
What is d in -d**3/7 + 67*d**2/7 - 591*d/7 + 171 = 0?
3, 7, 57
Factor -k**3/9 + 16*k**2/9 + 529*k/9 - 544/9.
-(k - 32)*(k - 1)*(k + 17)/9
Factor 18*b**3/7 - 10*b**2 + 64*b/7 + 8/7.
2*(b - 2)**2*(9*b + 1)/7
Factor -2*a**3/21 - 40*a**2/21 - 34*a/3 - 440/21.
-2*(a + 4)*(a + 5)*(a + 11)/21
Solve c**2/2 + 6*c + 16 = 0.
-8, -4
Find v, given that -2*v**5/13 + 236*v**4/13 + 12*v**3/13 - 1400*v**2/13 - 1882*v/13 - 708/13 = 0.
-1, 3, 118
Solve 5*j**3 + 5*j**2 - 25*j + 15 = 0 for j.
-3, 1
Suppose -3*t**5 + 6*t**3 - 3*t = 0. What is t?
-1, 0, 1
Suppose -2*i**2/3 + 668*i = 0. What is i?
0, 1002
Solve c**3/2 - 2535*c**2/2 + 2142075*c/2 - 603351125/2 = 0.
845
Let 2*z**2/7 + 6*z/7 - 8 = 0. What is z?
-7, 4
Factor m**2/3 - 2765*m/3.
m*(m - 2765)/3
Find c, given that -c**2 - 34*c + 152 = 0.
-38, 4
Find c, given that 5*c**4 + 115*c**3 - 35*c**2 - 775*c + 690 = 0.
-23, -3, 1, 2
Let -5*z**3 - 4525*z**2 - 1030535*z - 3051015 = 0. Calculate z.
-451, -3
Factor x**4/6 + 7*x**3/6 - 5*x**2/3 - 8*x/3.
x*(x - 2)*(x + 1)*(x + 8)/6
Factor 2*f**4 + 3198*f**3 + 1704534*f**2 + 302838874*f.
2*f*(f + 533)**3
Suppose -4*k**4 + 48*k**3 + 56*k**2 - 48*k - 52 = 0. Calculate k.
-1, 1, 13
Factor -u**2/3 - 112*u.
-u*(u + 336)/3
Factor f**4/2 + 174*f**3 - 699*f**2/2 + 175*f.
f*(f - 1)**2*(f + 350)/2
Factor -2*a**2 - 40*a - 192.
-2*(a + 8)*(a + 12)
Determine j so that j**2/5 + 5838*j/5 + 8520561/5 = 0.
-2919
Let 5*i**3 + 170*i**2 + 620*i + 600 = 0. What is i?
-30, -2
Let -4*h**5/3 + 98*h**4/3 + 56*h**3/3 - 148*h**2/3 - 52*h/3 + 50/3 = 0. What is h?
-1, 1/2, 1, 25
Factor -2*d**4/9 - 16*d**3/9 + 22*d**2/3.
-2*d**2*(d - 3)*(d + 11)/9
Let 3*m**2/2 + 324*m + 17496 = 0. What is m?
-108
Suppose 3*b**2/2 + 351*b - 705/2 = 0. Calculate b.
-235, 1
Let -3*b**2/2 - 141*b/2 - 69 = 0. What is b?
-46, -1
Factor -2*v**2/17 + 160*v/17.
-2*v*(v - 80)/17
Factor 5*j**2 - 200*j - 645.
5*(j - 43)*(j + 3)
Factor -z**2 - 11667*z/5 - 4666/5.
-(z + 2333)*(5*z + 2)/5
Find y such that y**5/3 + 26*y**4/3 - 39*y**3 + 94*y**2/3 + 116*y/3 - 40 = 0.
-30, -1, 1, 2
Factor -p**3/5 - 57*p**2/5.
-p**2*(p + 57)/5
Factor -h**4 + 6*h**2 - 8*h + 3.
-(h - 1)**3*(h + 3)
Let -c**4/2 + 35*c**3/2 - 149*c**2 + 132*c = 0. Calculate c.
0, 1, 12, 22
Determine s, given that -2*s**4 - 12*s**3 + 44*s - 30 = 0.
-5, -3, 1
Determine k so that 3*k**4 - 381*k**3 = 0.
0, 127
Solve -i**3 + 16*i**2 - 29*i - 130 = 0.
-2, 5, 13
Solve -l**4/2 + 38*l**3 - 714*l**2 = 0.
0, 34, 42
Solve -2*b**5/7 + 764*b**4/7 + 3852*b**3/7 + 6952*b**2/7 + 5414*b/7 + 1548/7 = 0 for b.
-2, -1, 387
Let -2*s**2/5 + 14*s/5 + 88/5 = 0. What is s?
-4, 11
Factor -y**3 + 596*y**2 - 88205*y - 178802.
-(y - 299)**2*(y + 2)
Solve -5*g**5 - 360*g**4 + 15*g**3 + 1090*g**2 + 720*g = 0.
-72, -1, 0, 2
Find t such that 4*t**5/3 + 9*t**4 + 29*t**3/3 - 37*t**2/3 - 11*t + 10/3 = 0.
-5, -2, -1, 1/4, 1
Let 45*o**2/8 - 291*o/2 - 39/2 = 0. Calculate o.
-2/15, 26
Factor 26*p**3/3 + 224*p**2 - 104*p/3.
2*p*(p + 26)*(13*p - 2)/3
Find a such that -2*a**3 + 68*a**2/9 - 56*a/9 - 16/9 = 0.
-2/9, 2
Find x, given that -2*x**2/3 + 292*x - 31974 = 0.
219
Determine m so that -28*m**2 + 340*m - 312 = 0.
1, 78/7
Factor c**2/4 + 11*c/4 + 9/2.
(c + 2)*(c + 9)/4
Factor -2*f**4/3 - 2*f**3 + 8*f/3.
-2*f*(f - 1)*(f + 2)**2/3
Suppose -2*g**4 + 2*g**3 + 4*g**2 = 0. Calculate g.
-1, 0, 2
Factor 2*h**5 - 4*h**3 + 2*h.
2*h*(h - 1)**2*(h + 1)**2
What is y in -4*y**5 + 80*y**4 - 48*y**3 - 584*y**2 + 1012*y - 456 = 0?
-3, 1, 2, 19
Factor 2*t**2/11 + 18*t/11 - 4.
2*(t - 2)*(t + 11)/11
Factor -p**2 + 982*p + 1968.
-(p - 984)*(p + 2)
Find n, given that -n**2/2 - 24*n - 288 = 0.
-24
Factor 729*b**4 - 4617*b**3 + 1485*b**2 - 163*b + 6.
(b - 6)*(9*b - 1)**3
Find b such that 3*b**5/8 - 41*b**4/4 + 133*b**3/2 + 49*b**2 = 0.
-2/3, 0, 14
Factor 2*x**2/3 + 2*x - 36.
2*(x - 6)*(x + 9)/3
Solve 2*x**4 - 18*x**3 - 68*x**2 - 48*x = 0 for x.
-2, -1, 0, 12
Factor -4*h**2/9 - 5528*h/9 - 1909924/9.
-4*(h + 691)**2/9
Factor 2*b**2/17 + 18*b/17 + 36/17.
2*(b + 3)*(b + 6)/17
What is j in 2*j**5/15 + 8*j**4/5 + 92*j**3/15 + 8*j**2 + 10*j/3 = 0?
-5, -1, 0
Determine s so that 4*s**4/5 - 842*s**3/5 - 422*s**2/5 = 0.
-1/2, 0, 211
Determine h so that -h**3/5 + 1647*h**2/5 - 677328*h/5 - 678976/5 = 0.
-1, 824
Find a such that 7*a**3 - 1139*a**2 - 2636*a - 660 = 0.
-2, -2/7, 165
Solve -8*b**5/7 + 272*b**4/7 - 2306*b**3/7 - 202*b**2/7 + 238*b + 578/7 = 0.
-1/2, 1, 17
Factor -2*b**2 - 24*b - 72.
-2*(b + 6)**2
Factor -8*t**2/5 - 38*t + 48/5.
-2*(t + 24)*(4*t - 1)/5
Factor t**5/2 - 4*t**4/5 - 2*t**3/5.
t**3*(t - 2)*(5*t + 2)/10
Find x such that -5*x**4 - 2925*x**3 - 429240*x**2 - 426320*x = 0.
-292, -1, 0
Factor 5*p**3 - 15*p**2 - 5*p + 15.
5*(p - 3)*(p - 1)*(p + 1)
Factor -3*z**5 - 9*z**4 + 18*z**3 + 30*z**2 - 63*z + 27.
-3*(z - 1)**3*(z + 3)**2
Factor -n**4/8 + 7*n**3/8 - n**2 - 2*n.
-n*(n - 4)**2*(n + 1)/8
Solve 4*h**5 + 16*h**4 + 8*h**3 - 16*h**2 - 12*h = 0.
-3, -1, 0, 1
Suppose -d**4 - 15*d**3 - 27*d**2 - 13*d = 0. What is d?
-13, -1, 0
Suppose -4*c**4 - 140*c**3 - 452*c**2 + 1340*c - 744 = 0. Calculate c.
-31, -6, 1
Factor -4*o**2 + 5364*o - 5360.
-4*(o - 1340)*(o - 1)
Factor 2*y**2 - 38*y + 140.
2*(y - 14)*(y - 5)
Suppose w**3/9 - 1519*w**2/9 - 3041*w/9 - 169 = 0. What is w?
-1, 1521
Solve 4*r**5 + 48*r**4 - 116*r**3 - 48*r**2 + 112*r = 0.
-14, -1, 0, 1, 2
Factor -10*f**5 - 534*f**4 - 212*f**3.
-2*f**3*(f + 53)*(5*f + 2)
Factor 2*v**4/9 + 2*v**3 - 2*v**2/3 - 50*v/9 + 4.
2*(v - 1)**2*(v + 2)*(v + 9)/9
Let -g**5/2 + 14*g**4 - 91*g**3/2 - 60*g**2 = 0. What is g?
-1, 0, 5, 24
Suppose -o**2/2 + 210*o + 1278 = 0. Calculate o.
-6, 426
Let -l**3/2 + 11*l**2 + 197*l/2 + 87 = 0. Calculate l.
-6, -1, 29
Solve 28*p**4/5 - 316*p**3/5 + 1068*p**2/5 - 196*p + 40 = 0 for p.
2/7, 1, 5
Determine p, given that -16*p**5 - 36*p**4 + 248*p**3 + 96*p**2 - 232*p - 60 = 0.
-5, -1, -1/4, 1, 3
Factor 3*z**3 - 72*z**2 - 75*z.
3*z*(z - 25)*(z + 1)
Factor -3*t**3 - 33*t**2 - 84*t.
-3*t*(t + 4)*(t + 7)
What is k in k**2/6 - 8*k/3 - 161/6 = 0?
-7, 23
Find y such that 16*y**4/9 + 4*y**3 - 122*y**2/9 - 4*y + 16/9 = 0.
-4, -1/2, 1/4, 2
Factor 29*w**2 + 176*
|
{
"pile_set_name": "DM Mathematics"
}
|
5*i = -2*i + 25, m*z - 14 = 2*i for z.
2
Let h = -7328 - -7333. Solve -h*q = -b - 34, -6*q - 23 = -10*q + 5*b for q.
7
Let z = -162 + 165. Let u = 13 + -9. Let y = u + -1. Solve -2*g - 3*q - z - 1 = 0, -y*g + 2*q + 20 = 0 for g.
4
Suppose 124 = 4*s + 4*a, 0*a + 145 = 5*s + 3*a. Suppose 512 - s = -6*t. Let f = t - -86. Solve p = 2*r - 5, -1 = -r + f*p - 3 for r.
3
Let r(p) = -p**3 - 20*p**2 + 46*p + 48. Let w be r(-22). Let j be 1 - w - (-102)/17. Solve 3*u + 15 = 0, -3*u + 2 = j*n - u for n.
4
Suppose 0 = 103*s - 108*s + 25. Suppose s*o = -139 + 164. Solve 4 = y - q + 7, o*q + 5 = 0 for y.
-4
Suppose 3*b - 111 = -72. Suppose -4*f - 5*s = -b, s + 3 = 3*f - 2*s. Solve 0 = -2*u + 4*i + 24, u = -0*u - f*i - 8 for u.
2
Let l(m) = -29*m**2 + 354*m - 63. Let d be l(12). Solve 3*x - 3 = -127*c + 124*c, c - d = x for x.
-4
Let m be -20*(0 + (-8)/10). Let j(h) = h**2 + 38*h - 213. Let u be j(-36). Let i be u/114*(-3)/(30/16). Solve i*t + m = 0, -5*c + 2*t - 36 = 6*t for c.
-4
Suppose 5*k = -1 - 64. Let q be (-4)/(-18) - 6/27 - k. Suppose q*x - 7*x = 12. Solve -x*h = 2*a, 0*a - 4*h = 5*a for a.
0
Let j = 11 + -6. Let b(n) = -5*n**2 - 2*n + 1. Let r be b(1). Let k be 0 - (0 + 4) - r. Solve -u - k*a + 1 = 0, 3*u - 9 = j*a + 16 for u.
5
Suppose -700*f = -693*f - 28. Solve 3*u - x = -21 + 35, -3*u - f*x + 19 = 0 for u.
5
Suppose 4*x + 40 = 4*l, 3*l + 34 = 6*l - 4*x. Solve 2*p = l, 35*m = 33*m + 3*p - 23 for m.
-7
Let r be (55/(-10))/(-11)*(-2 + 2). Suppose -2*w + 12 = b - r*w, -3*w + 81 = 5*b. Suppose -3*i - 6*i + b = 0. Solve y - 6 - 9 = -i*h, -2*h = -4*y + 10 for y.
5
Suppose 4*u + 3*i - 5 = 3*u, 0 = 5*u + 5*i - 15. Solve -4*c = 5*f + 26, 10*f = -u*c + 14*f for c.
-4
Suppose -76 = -29*h + 287 - 102. Solve 0 = -3*o - 3*v + 27, -6*o = -h*o - 2*v + 22 for o.
4
Let z(p) = 191*p - 188. Let n be z(1). Solve 7*l + 1 = 6*l, -6*a + n*l = 21 for a.
-4
Suppose 5*l - 25*k - 12 = -22*k, -2*l + 6 = -k. Solve 2*u - l*u = 4*x - 24, 7 = 2*u + x for u.
1
Let v be -3 - (2/6)/(3/(-36)). Let r be (12/8)/v*2 - -2. Solve -2*h + r*h - 2*j - 12 = 0, 12 = 3*h - 5*j for h.
4
Suppose -26*q - 34*q + 232 = -2*q. Solve -3*p + 9 = 3*j, p + 21 = q*j + 14 for j.
2
Let k be (-660)/(-33) - (2/(-1) + 1). Let a be 3/k + 13/7. Solve 0 = -3*b, -4*c + 5*b = a*b + 16 for c.
-4
Suppose -3 = -w, 14*v - 11*v - 5*w + 3 = 0. Solve -3*l = -v*m + 13, -3*l - 8*m - 5 = -4*m for l.
-3
Let j(v) = -3*v**2 - 25*v - 5. Let l be 4 + -9 + (3 - 6). Let p be j(l). Suppose 3*f - 9 = p*z, 3*z = -z. Solve 3*k + 0*k - b - 16 = 0, 12 = -f*b for k.
4
Let d be (58/9 + -6)/(2/9). Suppose -2*z - d*i - 80 = -5*z, 2*z - 50 = -2*i. Solve -c - 2 = -2*b, -5*b + 5 = 4*c - z for b.
3
Let p(k) be the first derivative of k**2/2 + 41*k - 33. Let f be p(-37). Solve 0 = y + f*z - 18, 5*z - 27 = -2 for y.
-2
Let h be 1947/9 - 18/(-27). Let y = h - 212. Solve 1 = x - b, -2*x + y*b + 15 + 2 = 0 for x.
-4
Let l(z) = z**2 - 44*z + 200. Let p be l(5). Suppose 14*j = -3*d + 16*j + 5, d = 4*j - p. Solve -d*s - 2*o + 11 = 2, 12 = -4*o for s.
5
Let s be (-5358)/9 - 80/(-60). Let b = s - -595. Solve 5*l + b = -0*x - 4*x, l + 6 = 5*x for l.
-1
Suppose -s - 257 = 5*p - 3*p, -5*s - 4*p = 1291. Let w = s - -262. Solve 0*o = o + 3*i + 5, -w*o - 3 = 5*i for o.
4
Let d = 9 + -9. Let x(o) = -26*o + 110. Let s be x(4). Suppose p - s*p - 25 = -5*n, -4*n - 4*p + 20 = 0. Solve 3*q - 5*l + 14 = d, -n*l + 3 - 4 = 2*q for q.
-3
Suppose 190*v - 604 = 346. Solve 8*m + 3 = 9*m + 2*l, -v*l + 3 = m for m.
3
Let q be 56*-1 + (-52)/13. Let j be (40/q)/(1/42). Let b be (j/(-21))/(2/6). Solve b*a - 10 = -4*d - d, a - 5*d - 15 = 0 for a.
5
Let c = 112 - 46. Let i be 3*11/(c/36). Solve 4*d - 4*o - i = 2*d, 3 = 5*d + 4*o for d.
3
Let q = -93 + 104. Suppose 5*x + q*l = 8*l + 10, -4*x - 3*l = -5. Solve -1 + 4 = 5*m + 4*v, x*m + v = -3 for m.
-1
Suppose -7*a - 2*k - 20 = -8*a, 0 = -a + 3*k + 26. Solve 0 = -5*b - 5*f + 10, a*f - 13*f = 4*b - 10 for b.
0
Let m(n) = 2*n**2 + 106*n - 102. Let g be m(-54). Solve 5*x - 554*y = -550*y - g, 0 = -3*x - 3*y - 9 for x.
-2
Let u be 10/30 - 15/(-9). Let w be (-1943)/(-377) + u/(-13) + 0. Solve -w*a + 3*l = -40 + 14, 0 = -3*a + 4*l + 20 for a.
4
Let f be ((-9)/(-12))/(3/88). Suppose f = 3*b - 83. Solve 3*k - 8 = 2*p + 14, -3*p - b = -5*k for p.
-5
Let t = 2537 - 2527. Solve -5*p - 13 = -0*p - k, -p = 4*k - t for p.
-2
Let m be (0/(-3 - 0))/(-1). Solve 10*r - 6*r = -8, -2*b + 2*r - 2 = m for b.
-3
Let z be 2 + (2 - 13) - -23. Let n be (-20)/90 - z/(-63). Solve 2*q + 23 = -0*q + 5*i, n = -5*q - 2*i - 14 for q.
-4
Let d = 191 - 183. Suppose -12*t + 8*t = 4*b + 12, t + 2*b = -d. Solve 4*y = -3*l + t*l + 7, 2*l = 4*y - 10 for y.
2
Suppose -298 = -12*o - 250. Solve 5*j = 4*j + 3*f - 8, -19 = -o*j - 5*f for j.
1
Suppose 13*h = 24*h - 55. Solve -k + r = -4, h*r - 94 = -4*k - 114 for k.
0
Suppose 53*u - 735 = 2710. Suppose -25*h = -540 + u. Solve g = 5*a - 6, -4*a + 9 = 5*g - h for a.
2
Let a(u) = 5*u + 16 - 16 + 19. Let o be a(-5). Let s be 150/18 + 2/o. Solve 0*l - 5*f = 4*l + 13, f + s = l for l.
3
Suppose -12*g - 5*t = -10*g - 247, -t = 3*g - 338. Let f be (-2)/12 + g/18. Solve -f = -2*z - y - 0*y, 0 = -5*y for z.
3
Let c = -787 + 789. Solve 17*n - 7 = -c*h + 20*n, 0 = 4*h + 4*n - 4 for h.
2
Let n be (1/(-3))/((-14)/480522*-17). Let l = -663 - n. Suppose 0 = 2*f - 10, -3*d + 11 = -f - 2. Solve -5*w = b + d + l, -3*b = 2*w + 9 for w.
-3
Suppose -33*m + 36*m - 450 = 0. Suppose 2*q - 156 = -m. Solve 0 = 3*x - q*v + 3, -x - 3*v + 1 = 2 for x.
-1
Let g(x) = -3*x**3 + 4*x**2 - 3*x - 6. Let b be g(2). Let i be 4*(-4 + (-125)/b). Solve -4*l - 3*c = i, c = -5*l + 2*c + 3 for l.
0
Let t = -7610 - -7680. Solve 73*k + 2*o = t*k - 1, 3*k + o = 4 for k.
3
Let c(j) = -j**3 - 23*j**2 + 175*j + 46. Let i be c(-29). Solve -5*s - 42 + i = 0, -3*p + 2*s = 5 for p.
-5
Suppose d + 3*d = 2*b + 32, 0 = 3*d + 6. Let q(g) = g + 7. Let v be q(b). Let i = v + 20. Solve 5*n - i = -2, -2*k + 4*n = 4 for k.
0
Let v be (-2)/(-4)*((-8)/(-4) - -204). Let s = v + -103. Solve s + 8 = -4*c + 4*b, 0 = -3*c - 4*b - 27 for c.
-5
Let x(b) = 26*b - 163. Let m be x(6). Let q(f) = 2*f**2 + 26*f + 111. Let z be q(m). Solve -a - 3*j - 8 + 4 = 0, 0 = 3*a - 4*j - z for a.
5
Let i be ((-3 - -4) + 5 - 8)*6/(-4). Solve 3*k - 12 = -i*w, 3*w - 3*k + 7 = -11 for w.
-1
Let i(j) = -j**3 - j**2 + 40*j - 14. Let s be i(-7). Solve 0 = 3*v + 3*p - 3, -17*v + 13*v + 5*p - 23 = s for v.
-2
Suppose 5*l - 91 = -6. Suppose 2*f + 30 = l*f. Solve 2*n = -f*t + 4, -4*t + 7*t + 2*n - 8 = 0 for t.
4
Let c be 344/(-6) + (-8)/12. Let k be (-56)/(-420) - c/15. Suppose 14 = k*g - 14. Solve -y + g = 2*r, -3*y - r = -0*y - 16 for y.
5
Suppose -8*m = -16*m + 32. Suppose -3*j - 5 = m*v, j + 4 = -2*v - 1. Solve -4*g = -2*g - 8, 0 = -2*r + j*g - 30 for r.
-5
Let n be 16/10*19/(-152)*-20. Solve n*k = 3*w + 29, -5*k = -5*w - 50 + 10 for k.
5
Let h be (14/(-6))/(4/(-108)*21). Solve -2*b + 13 = -0*w - 5*w, -3*b + h = -2*w for b.
-1
Let s = -4022 + 4053. Solve 0 = 4*f - 16, -36*x + s*x + 29 = f for x.
5
Suppose 46*s + 149*s - 585 = 0. Solve s*x + 5 = -3*b + 5*x, 0 = -b + 3*x + 3 for b.
-3
Suppose -4*z = 2*q - 6*q + 12, 5 = 5*q. Suppose 4*g + 38 = -58. Let m be ((-16)/g)/(z/(-12)). Solve -m*t - 35 = 3*s, -s + 8 = 3*t + 28 for t.
-5
Let t(g) = g - 1. Let h be t(4). Let a be -21*((-10)/7)/(6/(-14)). Let m = -70 - a. Solve m = -b - 3*f - 12, h*f = -b - 3*b - 12 for b.
0
Let n = -150 + 346. Let m be 15/(105/n) + 10/2. Solve -4*u + 12 - m = -q, 5*q = -2*u + 17 for u.
-4
Let l(a) = a**3 + 8*a**2 - 2*a - 85. Let j be l(-5). Solve 5*u = -4*w - 23, j = 4*w - 88 + 96 for u.
-3
Suppose -338113*j + 338221*j - 324 = 0. Let t(g) = g - 3. Let s be t(5). Suppose 0 = 3*w + s*w - 15. Solve -4*n + 27 = w*x, -n - 4*n = j*x - 30 for n.
3
Suppose 0 = -3*t - 494*n + 496*n + 11, -4*t + 3*n = -14. Solve -2*l = 21 - 17, 0 = -t*m + 3*l + 26 for m.
4
Let f(w) = -212*w - 2754. Let s be f(-13). Solve 3*y - 12 = -5*d + s, -4*d = -y - 1 for d.
1
Let r be ((-8)/(-6) - 1)*-3. Let q be r/(((-3)/(-18))/(-1)). Let w = 4415 + -4412. Solve 2*y = -5*m - 1, -m = q*y - w*y + 8 for y.
-3
Let z(q) = 701*q - 9108. Let r be z(13). Solve -r*c = -2*y + 10, -2*y - 60*c = -58*c + 18 for y.
-5
Suppose -v + n = -5*v + 17, v + 3*n = 18. Let y = -550 - -565. Solve 3*z - 6 = -y,
|
{
"pile_set_name": "DM Mathematics"
}
|
= -0*t, j = -2*t + 3 for j.
1
Suppose 5*w - 4*j = 3*w - 4, -5*w + j = -8. Solve 2*v + 13 = 3*c, w*v - 7*c + 2*c = -23 for v.
1
Let g = -5 - -9. Suppose 0 = 3*t + o + g*o, 2*o = 0. Let u be t + -1*(-2 - -1). Solve -5*b + k + 1 = -0*b, 3*b = k - u for b.
1
Let b = -3 - 11. Let w = b - -19. Solve w*v - 3*y - 5 = 12, 5*v - 16 = 4*y for v.
4
Let d = 122 + -209. Let i = 87 + d. Solve 4*b - 4*j - 20 = i, 0 = b + 3*j + j for b.
4
Suppose -17 = -5*c + 2*k, 0 = -2*c + c - 3*k. Let z be -1 + 2 - (-31 + 0). Let r = 45 - z. Solve -4*q = -u - r, 0*u - 13 = q + c*u for q.
2
Let w be -13 + 22 + (1 + 0)*1. Solve -2*g - 4*h + w = 0, -5*g + 5*h + 28 - 3 = 0 for g.
5
Let p be -3 + 3 + 5 + -2. Suppose -p*r - 5 = -8*r. Suppose 0 = 4*u - 17 + r. Solve -5*q - 11 = -u*s, -3*s + 6 = -2*q - q for s.
-1
Suppose 0*f - d = 2*f + 50, -4*f = -5*d + 128. Let y = f - -31. Solve 35 = y*s - 3*m, -6*m - 20 = -2*m for s.
5
Suppose 3*z = -4*w + 443, 5*w - 2*z + z = 549. Let o be w/4 - 2 - 10/(-20). Solve 5*l = -10, 2*l = -4*v - 3*l - o for v.
-4
Suppose -3 + 11 = 2*x. Suppose x*g = -g - 2*d + 5, 0 = 4*d. Solve -z = -f + g, z + 2 = 5*f + 9 for f.
-2
Suppose 3*t = 2*t + 4. Let x = -3 - -8. Suppose 3 + 5 = -2*l + t*m, 3*m = x*l + 6. Solve 6 = 2*b - l*g - 2*g, -g = 3*b - 5 for b.
2
Suppose 5*i + 20 = 15*i. Solve -3*w = 6, 4*a + 0*w + 16 = i*w for a.
-5
Suppose 2*i + 3 = 3*m, -3*m = -5*i - m + 9. Solve 20 = -4*r, -c + 3*r = -i - 8 for c.
-4
Suppose -6*r = -74 - 22. Suppose 13*u = r*u - 36. Suppose 3*g - 3 = u. Solve -g*x + 15 = -3*d, -x - d + 25 = -6*d for x.
0
Let q(m) = m**3 - 13*m**2 + 11*m + 24. Let y be q(12). Solve -4*o = y, 24 - 12 = -3*f - 3*o for f.
-1
Let n be ((-18)/12)/((-2)/(-12)). Let p = n + 0. Let x be (30/2)/(p + 10). Solve -3*g + x = -4*k, 0 = k + 3 for g.
1
Let i(b) = b**3 + 4*b**2 + 4*b. Let g be i(-3). Let w(k) = k**3 + 4*k**2 + 4*k + 7. Let h be w(g). Solve -h*p = -5*c + 14 - 2, 16 = 4*c for p.
2
Suppose 2*x = -5*k + 47, 4*x + x = -2*k + 23. Solve k = p - 4*a, 2*a = -5*p - 0*a - 21 for p.
-3
Let h(g) = g**3 - 2*g**2 - g + 5. Let c(i) = -i**3 + i**2 + 3. Let l be c(0). Let w be h(l). Let z = -8 + w. Solve -u + 0*u - z*j + 2 = 0, 0 = -4*u - 4*j for u.
-1
Let z = 10 - 5. Let p(g) be the first derivative of -g**2/2 + 8*g - 7. Let s be p(-13). Solve 2*v + z*q + 1 = s, 0 = q - 4 for v.
0
Suppose 5*z - 15 = p, -14 = -5*z + 3*p + 11. Suppose 3*s = -2*b + z + 10, 0 = 5*s - 10. Solve b*v + 4*j = -25, -v - 2*j - 7 = -j for v.
-3
Suppose -o - 8 = -5*o. Let q = 9 - 4. Suppose 5*r = 23 + 167. Solve o*j + q*x + 9 = r, -3*x = -2*j - 11 for j.
2
Suppose 2*b + 5*l - 7 = -15, -5*b + 42 = -3*l. Solve b = 3*p, x - p + 11 = 3*p for x.
-3
Let f = 8 + -6. Suppose -3*c - f*c = -10. Suppose 5*w + s - 75 = 0, -c*s - 6 - 4 = 0. Solve 4*i = -5*u + 2*i - 6, 4*u - 4*i = -w for u.
-2
Suppose -d + 2 = -3. Let b be (28 - 1) + 2 + -5. Let t = 32 - b. Solve d*w - 3 = w - 5*m, -t = -3*w + 2*m for w.
2
Let d be 4/(-1 - -3) - -3. Suppose -d + 1 = -w. Suppose 9 = -k - 4*i - 5, k - w*i - 18 = 0. Solve -3*u + 8*u - k*s = -21, -13 = 3*u - s for u.
-5
Suppose -3*k = 0, -5*f + 3*k - 55 + 175 = 0. Suppose 27*d - 9 = f*d. Solve -4*u + 4 = 0, -d*j + 0*u + 14 = -u for j.
5
Let f be 8/(7/((-28)/(-8))). Suppose 5*k + 5*u = -0*u + 10, k - u - f = 0. Solve 3*q + 3*x + 6 = 0, -k*x - 4 = q - 0*x for q.
-1
Let y = -16903 + 16908. Let l = 304 + -202. Let g be (0 - -1)/(2/l). Solve 3*d - 20 = -4*h - g, -2*d + 10 = -y*h for h.
-4
Suppose 0 = 2*j - 10, 4*d + j + 0 = 5. Let s(o) = -2*o - 7. Let w be s(-6). Suppose 3*m + 5*n - 35 = -m, 0 = w*n + 5. Solve 2*y + m + d = 0, 9 = -q - y for q.
-4
Let c(x) = -6*x + 5. Let u be c(-2). Let k(f) = f**2 - 16*f - 17. Let d be k(17). Solve d = b, -3*h - b - u = -2 for h.
-5
Let o = 1 - -4. Solve 5*i - o*f + 4*f - 18 = 0, 4*f = 3*i - 21 for i.
3
Suppose 0 = -3*b, -k + 4*b = 4 - 12. Solve -k = -u + 3*n, -4*n + 6*n = -2*u - 8 for u.
-1
Let l(d) = 2*d**2 - 37*d + 18. Let t be l(18). Solve 5*x + 1 - 6 = 4*s, t = x + 3*s + 18 for x.
-3
Let n = 132 - 128. Solve -3 = 3*f, 2*x + 5*f + 5 = n*f for x.
-2
Let u be 1 + 19 - (-3 - -8). Solve u = -5*n, 0 = -l - 5*n - 20 + 2 for l.
-3
Let k = 768 + -766. Solve -23 = 5*b + 2*h, -b - 2*b - 13 = k*h for b.
-5
Let j = 124 + -120. Suppose 0 = -j*a + 3*a - 5*a. Solve -5*t = -4*w - 33, a = 4*t - 3*t - 5 for w.
-2
Suppose 10*c = -9*c + 475. Solve i - c = 5*n, 0 = 4*n + 18 - 2 for i.
5
Suppose 4*r + 12 = 9*r + 4*x, 0 = -r - 5*x - 6. Solve r*i + n + 14 = 0, 6 = i + 3*n + 4 for i.
-4
Let m = -8 - 4. Let d(i) = -i - 12. Let o be d(m). Suppose 3*b - 6 = -o. Solve 5*h = -b*t - 20, 5*h - 5 + 35 = -4*t for h.
-2
Let p(r) = r**2 + 91*r - 379. Let b be p(-95). Suppose 4*i = 2*c + 2*i - 12, -5*i = c + 12. Solve -3*o = -c*l + 5*l - b, -1 = l for o.
1
Suppose -2*z = -f - 29, 5*z - 4*f - 71 = -2*f. Suppose z = q - 2*d, -11 = q - 4*q - d. Solve 6 = -q*t - k, 4*k - 19 - 5 = 4*t for t.
-2
Let b = -34 - -42. Solve 3*u + b = 4*u + z, 5*u - 3*z = 8 for u.
4
Suppose 3*d - 15 = 0, -h - 3*h + 27 = -d. Suppose 4*j = 5*j - 4. Suppose -5*w = -10, j*y + 3 = -4*w + 19. Solve -4*v + 0 + h = 4*g, -y*v = 3*g - 3 for g.
-1
Let v = 560 - 555. Solve 25 = -w - v*z, 18 + 8 = -2*w - 4*z for w.
-5
Let d(r) = r - 22. Let n be d(10). Let f = 17 + n. Let z be f + (-9)/((-36)/(-8)). Solve z*u = -9, p - 4*u = -0*p + 8 for p.
-4
Suppose -308 = -5*q + q + 4*c, 5*c = 3*q - 239. Let o = q - 73. Let d = 1 - -3. Solve d*f + 3*a - 1 = 0, o*a - 2 = f + 3*a for f.
1
Let y be (-1 - (-6)/(-3))*-1. Suppose t + t - y*t = 0. Solve 3*d - 14 = -l, t*d - 5*l + 26 = 4*d for d.
4
Let a(u) = 121*u**3 + 4*u**2 + u - 1. Let x be a(-1). Let g = x + 122. Solve -q + 0*q + 5*c + 4 = 0, 4*q - g*c = -1 for q.
-1
Let l be (-6 - -1)*10/(-25). Let x(h) = h**2 - h. Let b be x(0). Solve -2*n = -b*j - 4*j + 18, 2*j = l*n + 14 for n.
-5
Let k(s) = -s**3 + 10*s**2 - 17*s + 8. Let z be k(8). Solve -3*m + 7*r + 35 = 2*r, m - 5*r - 25 = z for m.
5
Let g be 1 - 3 - -4 - -3. Let f be (-204)/(-60) - (-3)/g. Solve 3*h = -5*u + 4, -2*h = -4*h - 2*u + f for h.
3
Let z(y) = -4*y**2 - 92*y + 1. Let i be z(-23). Solve 0 = -3*c, -2*l - 3*c + i = -5 for l.
3
Let y = -21 + 34. Solve -x - x = 2*q - 16, -4*x - y = -5*q for q.
5
Suppose -44*x = -67 - 65. Solve -5 = -4*b + 5*b - 4*k, 5 = -2*b + x*k for b.
-1
Let t = 185 - 180. Solve 12 = 4*z - 4*y + t*y, 12 = -2*z - 5*y for z.
4
Let s = -1274 + 1279. Solve -4*o + 0*o + 13 = -5*v, 0 = -v - s for o.
-3
Let h be 1 + 3*(-1 - (-48)/18). Solve -4*l + h*l + 4*v = -16, 5*l - 3*v + 1 = 0 for l.
-2
Suppose -3*o + 0 = -12. Let i be (-24)/((-8)/(-4)) - o. Let q be 12/i - 3/(-4). Solve -j = -2, 2*j - 24 = 5*y - q*j for y.
-4
Let i be 22/33 + 13/3. Let c(a) = a**2 - 4*a + 5. Let z be c(i). Suppose 8*t - z*t = -38. Solve 3*h + 21 = -3*p, -p - 5*h + 4 = t for p.
-5
Let g(x) = x**2 + 4*x - 2. Let y be g(3). Let z be y/3 + 8/(-36)*6. Solve b = -4*a - 8, -8 - 2 = 5*a - z*b for a.
-2
Let j be (2/7)/((-3)/(-21)). Suppose 3*c - 7*c + 4*z = -4, -j*z - 11 = -5*c. Let x be (9/(c + -6))/(-1). Solve 5*y - 5 = -i - i, -4*i = -x*y + 3 for i.
0
Let g(l) be the first derivative of 2*l**3/3 + 5*l**2 + 8*l - 16. Let t be g(-6). Let o be 3*(1 + -1 - -1). Solve -16 = 3*c + 7*i - 3*i, -5*i - t = -o*c for c.
0
Suppose 3*v - 28 = 5*c, 19 = v + 5*c + 3. Let s(l) = 6*l + 163. Let y be s(-26). Solve 4*o - h - 21 = 0, -4*o = 2*h - y - v for o.
5
Suppose -3*t + t = -5*f - 31, -3*t = 3*f + 6. Solve -3*l + 22 = t*v + 4, l + 4*v - 12 = 0 for l.
4
Let k(g) = -9*g - 9*g - 17 + 20*g. Let z be k(10). Solve 0 = 4*s + z*q - 28, -2*s - 4 = 2*s - 5*q for s.
4
Let z(h) = h**2 + 7*h + 2. Let q be z(-3). Let r(m) = m**2 + 10*m + 2. Let c be r(q). Solve 5*p - 5 = 5*a - 0, -2*p + 4*a = -c for p.
1
Let a(f) = 13*f + 106. Let t be a(-8). Solve 4*w - t*i + 6 = -0*w, -w - 4*i - 15 = 0 for w.
-3
Let r be 451/205 - (-2)/(-10). Solve -z - r*n = -0*z - 8, -4*z + 20 = 5*n for z.
0
Suppose -22*h + 15*h = 476. Let m = -66 - h. Solve -3*x - 3 = b + m, 3*b + 15 = -x for b.
-5
Let j(h) be the second derivative of -h**4/12 - h**3/6 + 15*h**2/2 - 15*h - 1. Let d be j(-4). Solve -d*x + 5*g = 35 + 2, g + 7 = -3*x for x.
-4
Let k = 4 - -33. Suppose -107 - k = -8*m. Solve -4*l - m = -4*x + 2, -4*x - 3*l = -20 for x.
5
Let u(o) = o**3 - 5*o**2 - 3*o - 14. Let m be u(6). Suppose 0
|
{
"pile_set_name": "DM Mathematics"
}
|
424/63 - -721. Let v = m - 59/252. Which is bigger: q or v?
q
Let j = -0.09 + -29.91. Is 2/47 bigger than j?
True
Let b(v) = 7*v**3 - 1. Let d be b(1). Let s be d*4/8 - -2. Suppose 0 = 5*y - 3*c + 9, -s*y + y - 6 = -2*c. Is y greater than -2/11?
True
Let q be (-6)/(-10) + 19962/105. Let v = q + -191. Let y be (-1 - (-1 + 1))*0. Which is bigger: y or v?
y
Suppose -d = -4*n + d + 24, 3*n + 2*d = 18. Suppose j - 4*u = 0, 3*u = 3*j - n*j. Do j and -5/4 have the same value?
False
Suppose 2*t - 16 = 3*x + 15, 4*t - x = 67. Suppose g + t = 22. Let z be (-12)/g*(-5)/20. Is 1 smaller than z?
False
Let s = -120 + 634. Is s greater than 514?
False
Let n be (30/(-9) - -5)*8/(-4). Is n at most -1?
True
Let q(l) = -l**3 - 8*l**2 - 9*l + 6. Let w be q(-7). Which is greater: 24 or w?
24
Let g(t) = -24*t + 101. Let c be g(4). Do 11/3 and c have the same value?
False
Let u = 5 - 3. Let t = u - 9. Let z(s) = s**3 + 8*s**2 + 8*s + 2. Let d be z(t). Is d < -1?
True
Let z = 98 - 44. Let a be 1 - (-1 + z/28). Suppose 23 = 33*o - 10. Which is smaller: o or a?
a
Let q = -55/28 + 9/4. Let r = 232 + -362. Let d = r + 129.9. Which is smaller: d or q?
d
Let j = -464 - -463. Let l = 2.6 - 0.6. Let q = l - 1.8. Which is greater: q or j?
q
Let z(u) = 2*u + 4. Let n(t) = -2*t**2 - 6*t + 7. Let f be n(-4). Let d be z(f). Do d and 1 have different values?
True
Let n = -486 - -502.91. Let q = n - 17. Is q >= -1/4?
True
Let d be (-6)/(-27) + (-1 - 7/(-9)). Which is greater: d or 1/186?
1/186
Let q be 346 - (-8 - (6 - 14)). Is 345 equal to q?
False
Let k be -12*((-64)/(-24) + -4). Suppose 2*o - 70 = -3*o. Which is smaller: k or o?
o
Let a(r) = 27*r - 291. Let h be a(9). Are -1 and h unequal?
True
Let k be (-2)/((4 - 2)/(-36)). Let y = k + -24. Is y smaller than 13?
True
Let s = -302 + 301. Suppose -10 = 8*v - 3*v. Let l be (-10)/(-18) - v/(-9). Is s < l?
True
Let n be 43 - 1/(1/5). Which is smaller: 37 or n?
37
Let x = 15 + -10. Suppose -o = x*o - 54. Do o and 10 have the same value?
False
Let w = 374097 + -8592802/23. Let a = w - 497. Does -2 = a?
False
Let v be (-20)/(-15) + 4/6. Suppose -m + 66 = v*m. Let b = 156 - 135. Which is greater: m or b?
m
Let x be -3*4/12*20. Let n be (-12)/x + (-76)/10. Is n bigger than -5?
False
Let r = -1683.981 - -1683. Let y = r + -0.019. Is 47 greater than or equal to y?
True
Let x = 0.51 - 0.11. Let q = 0.4 - x. Let l = 0.016 + 13.984. Which is bigger: l or q?
l
Let v be (46/(-144))/(81/(-108)). Let m = -2/27 - v. Let s = -5.8 - -6. Are s and m equal?
False
Let l be (-1)/2 + (-9)/6. Let y = 151 + 369. Let s be (-3)/4*y/273. Which is smaller: l or s?
l
Let t be 1085/(-1075) + 4 - (3 + 0). Let k = t - -436/645. Is k < 1.4?
True
Let x = -0.04 - -4.44. Let k = x - 16.4. Is k >= -1/2?
False
Let o = 90 - 89. Suppose -4*z + 29 = -5*i, z + o = 3*i + 17. Which is smaller: z or -3/10?
-3/10
Let q = -3/40 - 13/40. Which is smaller: q or 1/53?
q
Suppose 0 = 3*r + 3*r - 12. Let k(y) = r*y - 11 + 2*y - y - 4*y. Let j be k(-9). Which is smaller: -5 or j?
-5
Let a be 6/(-180)*5 + (-13)/(-86). Which is bigger: 1/2 or a?
1/2
Let s = -1.129 - -166.129. Which is bigger: s or 4?
s
Suppose -1112 + 972 = 5*n. Which is bigger: -27 or n?
-27
Let w = -3/623 - -252339/4984. Is w greater than or equal to 52?
False
Let l = 1331 + -1332. Is l bigger than 3/361?
False
Let l = 27.4 + -43.5. Let r = l + 14. Let c = -0.1 - r. Which is smaller: c or 0?
0
Suppose -243 = 3*w + 69. Let a be w/(-51) + (4 - 6)*1. Which is bigger: a or 1?
1
Let w = 674 + -661. Is 3 at most as big as w?
True
Let j = 16.87 - 17. Suppose 28 = 5*m - f, -2*m + 6*f - 9*f = -18. Which is smaller: m or j?
j
Suppose 235*j - 9373 = 248*j. Is j greater than or equal to -721?
True
Let u be (-47)/(-188) + 6818/24. Is u greater than or equal to 285?
False
Let q = -2897 + 2897. Are 4.9 and q unequal?
True
Let m be ((-367)/(-15) - 0)*3. Let l be (-3620)/50 - 3/5. Let i = l + m. Which is smaller: 14/9 or i?
i
Let t = 3 - 10. Let h(f) = 4*f + 29. Let r be h(t). Is r equal to -2/133?
False
Let h = -1 - -0.68. Let v = -0.3 - h. Let j = v - -0.08. Is 3 at most as big as j?
False
Suppose -2*m + 9 = -11*m. Which is smaller: m or 69/7?
m
Let u be (-6)/69 + (-5)/207. Is u > -4/3?
True
Let l(k) = -k**3 + 35*k**2 - 65*k + 4. Let o be l(33). Which is bigger: o or 32?
o
Let l be 66/(-16) - (4 + 33/(-8)). Suppose f + 4*f - 10 = 0. Suppose 4*q = 2*u - 2, 3*u = -5*q + f*q + 12. Is q less than l?
False
Let z = -331 - -206. Is z less than or equal to -124?
True
Suppose -2*x = -8 + 6. Let h be 22*x/10 + -2. Which is bigger: h or 2/3?
2/3
Let t be 6/(-28)*(-3 + (-2)/(-6)). Which is smaller: t or -0.04?
-0.04
Let j = -1233/85 + 250/17. Is j greater than -0.399?
True
Let a(w) = -w**3 + 24*w**2 + 20*w - 6. Let n be a(25). Is n greater than -134?
True
Let d(w) = -w**3 + 25*w**2 - 25*w + 5. Let j(u) = 16*u + 8. Let h be j(1). Let r be d(h). Which is smaller: -37/2 or r?
r
Let c = -356 + 421. Which is smaller: 2/3 or c?
2/3
Let n(o) = o**3 + 4*o**2 + o + 4. Suppose 2 = -2*v + 3*y, -15 = 3*v + y - 1. Let k be n(v). Which is smaller: 2/17 or k?
k
Let p = -2 + 1.7. Let z = -76 + 156. Let b = -75 + z. Which is smaller: p or b?
p
Let p(j) be the third derivative of j**6/120 - 13*j**5/60 + 13*j**4/24 - 11*j**3/6 - 10*j**2. Let i be p(12). Which is smaller: i or -1?
-1
Let d = -11 - -13. Suppose -14 = -d*y + 12. Let c be 4/(-12) - (-129)/9. Is c greater than y?
True
Suppose 12*v + 68 = 56. Which is greater: v or 3/283?
3/283
Let n = 6.977 + 0.023. Let t = -26 - n. Is t greater than or equal to 2/11?
False
Let d = 724 - 724. Let a = -536750/3071 + 2474/83. Let n = -145 - a. Which is smaller: n or d?
n
Let s = 14233/29 + -491. Which is smaller: -1 or s?
-1
Let o(b) = -b**2 + 3*b + 15. Let m be o(7). Let c = m - 7. Let h be c/695*(-3)/(-6). Is h smaller than -1?
False
Suppose -69*y + 64*y - 345 = 0. Which is smaller: 2 or y?
y
Let z = 242 - 334. Is -735/8 != z?
True
Let d be 7/((-55)/20 + 3). Let y be (4 - d/8)*-2. Which is smaller: 1/3 or y?
y
Let q(k) = k**3 + 10*k**2 + 2*k + 22. Let t be q(-10). Suppose -t*w = 3*f + w, f - 4*w + 5 = 0. Are -3/28 and f equal?
False
Let m(j) = -5*j + 7. Let a(p) = 11*p - 15. Let b(y) = -4*a(y) - 9*m(y). Let c be b(8). Suppose c*s - 5 + 0 = 0. Are s and 8/7 non-equal?
True
Suppose -b - 9 = 3*y + 9, -5*b + 4*y - 109 = 0. Let j = b + 15. Let i(w) = -w - 13. Let v be i(-6). Which is greater: v or j?
j
Suppose 0 = -793*j + 813*j + 140. Suppose -2*f + 9 = -5*f. Which is smaller: j or f?
j
Suppose -200 = 4*g - h, 5*g + 2*h + 250 = 3*h. Which is smaller: -53 or g?
-53
Let x = -0.1 - 0.4. Let k = -0.4 - x. Let h = -28 - -28. Is h less than or equal to k?
True
Let k be 3 - (1 - 2)*10. Let o = 20 + k. Suppose -6*w - o = -9*w. Is w at most 10?
False
Suppose 0 = 2*j - j - 4*f + 75, -2*j - 5*f - 137 = 0. Are -73 and j equal?
False
Suppose -3*q + 2*w - 7*w = 33, 0 = -w - 3. Let n be (q/(-4) - 0)*4/(-15). Is n at least 10?
False
Let k = -2018 - -2025. Is -47 <= k?
True
Let p be 10 - (-2 - (2 - (3 + 0))). Suppose z - 8 = -p. Is -17/11 greater than or equal to z?
True
Let l be (2/(-5))/((-7)/1085). Let i be 4*l/(-273) - -1. Let t = i + 2/39. Is t greater than 1/5?
False
Suppose -2 = 5*j + 3. Let t(g) = -g**3 + 4*g**2 + 2. Let z be t(4). Suppose -z*s = -6*s - 12. Which is greater: j or s?
j
Let o = -45 + 38. Suppose 30 = -7*v + 2*v. Is o equal to v?
False
Let a = -1665 - -1614. Which is bigger: -566/11 or a?
a
Let q = 18.2 - 2.2. Let j = 0.2 + -0.2. Are j and q equal?
False
Let l(y) = y**3 + 4*y**2 - 9*y - 8. Let k be l(-6). Suppose -9*g - 108 = -5*g. Which is smaller: k or g?
g
Let c = -18 - -52/3. Let r = 0.8427 + -0.7897. Is c greater than or equal to r?
False
Suppose -10 = -x + 6*x. Let a be (-4)/12 - 2/x. Which is smaller: a or 1?
a
Suppose 3*w + 10 = 5*z + 29, -z - 9 = -w. Suppose -5 = 2*u - w. Suppose 0 = u*p - 80 + 24. Is p < 13?
False
Let n be 17 - ((-12)/(-4) - 3). Let p = n - 28. Let u be ((-2)/4)/((-2)/(-44)). Is p greater than or equal to u?
True
Suppose -4*a = 35 - 31, 2*u - 162 = 4*a. Is u less than 90?
True
Let v be 3 - (1040/(-36))/(-10). Suppose 3*x = 2*c - 4 - 11, 2*c - 2*x - 12 = 0. Which is smaller: c or v?
v
Suppose 2*h - 5*v + 22 = 6, 2*h + 52 = -4*v. Let r be ((-3)/(-549))/((-2)/h). Is -1 > r?
False
Suppose 0
|
{
"pile_set_name": "DM Mathematics"
}
|
Let t = -5 + 7. Suppose -t*s + 4 = -6. Solve a + 2 = s*u - z, 2*a = -u - 4 for a.
-3
Suppose 15 = 2*t + 4*k - 53, -5*k - 97 = -4*t. Solve 4*w - 16 = d, -3*w - w + t = -4*d for w.
3
Suppose 0 = -7*a + 3*a. Solve -3*h = b - 7, a = 2*h + b + b + 2 for h.
4
Let z = -8 + 10. Solve 4*k - q + z*q + 5 = 0, 3*q = -3*k + 3 for k.
-2
Suppose 4*p - x + 8 = 5*p, -4*x = 3*p - 26. Let l = 16 - p. Suppose -3*v = -8*v + l. Solve y + 1 = v*i, 6*i - 3*i + 1 = 2*y for y.
5
Suppose 3*k = -2*y + 16, -24 = -4*y + 3*k - 5*k. Solve -5*z = 3*b + 12, 17 = -y*b + 3*z - 3 for b.
-4
Suppose -7*z = 12*z - 95. Solve 0 = f + 2*o - 1, o - z = f - 3*o for f.
-1
Let f(u) = -3*u + 3. Let b be f(0). Solve -g + 3*d = -d, 0 = -5*g + b*d + 17 for g.
4
Suppose -5*t + 20 = -0*t. Suppose -t*r = r - 10. Solve -2*a + 8 = -r*o - a, 4*o + 3*a - 4 = 0 for o.
-2
Suppose 41 = 4*d - 15. Suppose -2*r = 4*p + 44, -3*p = -6*r + 2*r + 22. Let g = p + d. Solve u = g*a - u, 3*a = u for a.
0
Let m be -8*(-3)/(-18)*3. Let g be 22/5 + m/10. Suppose 2*z - z = k - 4, -g*z = 3*k - 12. Solve 5*v = -2*f + 9, k*v + 0*f - 18 = 2*f for v.
3
Let x be (-18)/(-12) - (-1)/2. Let u be x + -2 - (-10)/2. Let c = u - 3. Solve 5*s + 3*j = 21, -3*j = s - c*s - 3 for s.
3
Suppose -3*c = -7*c + 40. Let b = -5 + c. Solve -3*o - 12 = -2*x, 2*o - 4*x + 6 = b*o for o.
-2
Suppose 4*x - 2*n = 3 - 17, -3*n = -x - 11. Let l be (-2)/x + 17 + -6. Solve -g + 5*i + 4 = -3, 2*g + l = -3*i for g.
-3
Suppose 2*c - 2 = y, 4*c - 6 = y - 0*c. Suppose 2*w + 0*w = -y*h, -w + 2*h = 3. Let d be (w + -1)*-6 + 1. Solve -g = 3*g - 16, q = -3*g + d for q.
1
Let f = -8 + 12. Suppose f*b - 10 = 10. Solve 0*m - 2*m = 4*r + 22, -r = -3*m - b for r.
-4
Let t be (0 - 0) + -1 + 0. Let i be 19/4 - t/4. Solve d + 5*b - 19 = -0, -i*d + 4*b = 21 for d.
-1
Suppose 0 = -10*s + 13*s - 27. Solve 0 = 3*k + 3*a - 24, 2*a - 29 = -3*k - s for k.
4
Let c(r) = -r**2 - 6*r - 4. Let w be c(-4). Let s = w - -2. Solve x + 3*a - s*a - 19 = 0, -2*x - 17 = 5*a for x.
4
Let d be (-2)/(18/21)*3. Let h = 7 + d. Solve 3*b - 24 = 4*w, -3*w - w - 2*b - 4 = h for w.
-3
Suppose 0 = -s - 20 + 25. Solve -2*v + 10 = s*h, -5*h + 4*h + 20 = 4*v for h.
0
Suppose 2*l + w + 4 = 4*l, 2*w = 0. Suppose 16 = l*b + 2*b. Solve -2*r + 5*v + 35 = 0, 2*r - b*v = 6 + 24 for r.
5
Suppose 3*k - h = 4*h + 27, 0 = 5*k - 2*h - 26. Solve -3*v - 5*q = -6*v + 3, 3*v - 3 = -k*q for v.
1
Let l(q) = -3*q - 9. Let m be l(-8). Let g = m - 14. Solve 0 = 4*a - o + 8, a + g + 1 = o for a.
-2
Let v = -14 - -30. Suppose 5*x = 4*x + v. Let m be 10/45 - x/(-9). Solve 4*i = 4*t, 4*i = 3*t - m - 0 for i.
-2
Suppose -56*h = -53*h - 15. Solve 0 = 3*r - 0*r + 3*p + 3, 2*r - 5 = h*p for r.
0
Suppose 2*l + b = 5*b - 44, l = b - 21. Let y be 0 - l/((-1)/(-1)). Solve -3*o - 5 = -4*r, r + o = -2*r + y for r.
5
Let x be 2/((-6)/(-21)) + -4. Solve s + 2*o = 5*o + 12, 0 = x*s + 3*o for s.
3
Let j = -30 + 36. Solve -2*q = 3*l - 6, -l = -2*q - j*l + 6 for q.
3
Suppose -4*w - 10 = -2. Let a be (108/15)/(w/(-10)). Suppose -3*j + 24 = -f, -3*j - 4*f = -3 - a. Solve -2*q - 4 = -3*t - 0, 5*t = q + j for t.
2
Let a(w) = -w**3 - 7*w**2 + 10*w + 18. Let y be a(-8). Solve -5*j + v = -2*v - 22, -y*v = -j + 3 for j.
5
Let h be -2 - (-1)/((-3)/(-12)). Let q(n) = n**2 + 0*n**2 - 10 - 6*n + 0*n**2. Let j be q(8). Solve 4*u = 3*t + j - h, 4*t - 2*u = -12 for t.
-4
Let j(p) = p**2 - p - 3. Let x be j(3). Solve x*l + 2*v = 1, 8 = 5*l - 2*v - v for l.
1
Suppose 5*b + 4*m + 1540 = 0, 3*b - 3*m + 924 = 2*m. Let r be b/(-20) + 6/(-15). Solve -5*j + 5*o - r = 0, 0 = j + 5*o + 1 + 2 for j.
-3
Let z(a) = a + 3. Let w be z(-3). Let l(v) = v**2 + 11*v - 8. Let d be l(-11). Let g = w - d. Solve 5*k - 1 = -0*k + f, -g = -4*k - f for k.
1
Let k = 1 + 1. Suppose -3*f + 5 = -k*f. Solve -u = 4*i + 23, -4*i + 5 = -f*i for u.
-3
Suppose -3*l + 13 = 5*a - 16, 2*l - 22 = -4*a. Suppose -4 = -2*u + a. Solve u*i = -3*v - 5, -i + 3 = 2*i for v.
-3
Suppose 58 = 5*m - 2. Solve -s = 4*z - 4*s - m, 3*s - 3 = -z for z.
3
Let m(s) = -s**3 + 3*s**2 - s - 2. Let r be m(2). Suppose 32 = 2*u - 2*b, r = -4*u + 2*u - b + 20. Solve -4*c + 4*i = -6*c + 16, -5*c + u = -4*i for c.
4
Let n = 9 - 7. Suppose x - 5*b + n = 10, -5*x - 4*b + 69 = 0. Let m = x + 1. Solve -2*u - 2*k = -m, 2*u + 2*u - 4*k = -4 for u.
3
Let y(s) = -s**2 - 12*s - 11. Let n be y(-9). Solve -g + 4*g + f = -12, -4*f - n = 4*g for g.
-4
Suppose -5*c + 3*w + 6 + 5 = 0, -4*w = -2*c - 4. Solve -5*m + m - c*z = -28, -3*m - z = -11 for m.
2
Let c(d) = d**3 - 6*d**2 + 5*d + 15. Let m be c(4). Solve 4*g = m*i + 3 - 5, -5*i + 5 = -5*g for i.
2
Let a(t) = -t**3 + 6*t**2 + 5*t - 4. Let p be 237/33 + 2/(-11). Let z be a(p). Let q be z/(-8) - 12/(-16). Solve l + l - 4*u = 18, -q*u = -l + 13 for l.
1
Let a(o) = o**3 - 20*o**2 - 21*o + 1. Let y be a(21). Suppose 0*q - 5*q = -80. Suppose 4*j - q = -0*j. Solve 5*k + j*g = 1, k + 2*g - g = y for k.
-3
Suppose 3 = 2*b - 15. Let w = 15 - b. Solve 5*q = 3*j + w, -3*q + 0*q + 18 = 3*j for q.
3
Suppose -3*j = -3*g - 9, -7*j + 4*g = -4*j - 9. Solve -6*v = -j*a - v + 1, -3*a - v = 11 for a.
-3
Let d(n) = -n + 5. Let o be d(6). Let w be ((-2)/(-3))/(3/9). Let y be (o + w)*-2*-1. Solve -4*f = -6*f - j + 1, 0 = 2*j + y for f.
1
Let i(y) = y**2 - 4*y + 3. Let l be i(6). Let q be 6/l + (-54)/(-15). Solve 2*z - q*a - 18 = 0, 5*a = -3*z + z for z.
5
Suppose -4*y - 3*b = -3*y + 8, -4*b = -5*y + 36. Solve 2*c - 3*j + 18 = -3*c, -5*j - y = 3*c for c.
-3
Suppose 0 = -4*y + y. Let s = -4 + 5. Let j be s/((3 + -6)/(-21)). Solve -m = -2*k + 7 - y, -4*k - 5*m = -j for k.
3
Let k(x) = x + 5. Let b be k(-5). Suppose -5*o - 5*n = -10, -6*o + n + 13 = -2*o. Solve o*h - 2*q + b*q = 15, -5*h - 5*q = -25 for h.
5
Let x = 8 - 5. Let f(m) = 0 + x*m + 5*m**2 - 2*m + 1 + 2*m. Let g be f(-2). Solve 3*t + 2*i = -3*i - g, 0 = -4*i for t.
-5
Let v(h) = h**3 + 7*h**2 + h + 10. Let x be v(-7). Suppose -3*m + 9 - x = 0. Solve -4*z - 2 + 3 = -3*t, -2*t = -3*z + m for t.
5
Let l be 2/(-5)*15/(-3). Let s(h) = -h**2 + 5*h - 4. Suppose 2*p = -2*x - 2, -p = 4*p + 20. Let m be s(x). Solve 0*k = -k, l*d - k - m = 0 for d.
1
Let f(k) = -k**3 - 3*k**2 + k + 3. Let c be f(-3). Solve t - 3*u - 14 = -t, c = t - 2*u - 8 for t.
4
Let r(s) = -s**3 + 8*s**2 - 3*s - 28. Let o be r(7). Solve o = -5*y + 4*m - 19, 0*y - 4*y - 17 = -5*m for y.
-3
Suppose -5*b = -2*f, 0 = 5*b - b + 4*f. Solve k - 3*y + 7 = b, 4*k - 2*y = 1 - 9 for k.
-1
Suppose -2*b + 3*x = -x - 4, 5*b = 4*x + 10. Solve 2*w + 2*n + 4 = 0, b*n = 3*n - 3 for w.
-5
Let n be (-2)/(-2*(-3)/(-12)). Solve -12 = l + 2*t, -3*l + n*t + 8 = -t for l.
-4
Suppose 35*r = 41*r - 18. Solve 4*w = -4*f + 28, r*f = -f + 12 for w.
4
Let f be 6/(-10) - 99/(-15). Suppose f = 4*u - 6. Solve -j - b = -2, 2*j = 6*j + u*b - 11 for j.
5
Suppose 5*u = u - 24. Suppose -5*z = -2*b - 0*b + 1, -4*z = 4*b - 16. Let l be (11/(-2))/(b/u). Solve m + 3*r - 7*r + l = 0, -2*r = -6 for m.
1
Let m be 0 - -16 - 0/3. Solve 2*t - 4*i = -m, 2*i = -4*t + 6*t + 8 for t.
0
Let y(t) = -6*t + 3. Let o be y(-3). Solve 3*d + 4*j - 4 + o = 0, -5*j - 4 = -2*d for d.
-3
Suppose 2*i + 4*c = -4, -5*i + c + 17 = -6. Let j be (-6)/(1/(-2)*3). Solve u + 14 = -j*y + 3*u, 0 = -5*y - 2*u - i for y.
-2
Let l(m) = 4*m**2 + 1 - 5*m**2 + 10*m + 3*m**2. Let c be l(-7). Solve -4*u - c + 1 = -4*s, -3*u = s + 13 for u.
-5
Suppose -242 = -6*j - 80. Solve -3*h = -5*i + j, 4*h = 2*h + i - 11 for h.
-4
Let t = 83 - 78. Solve -2*w - 10 = 5*o, o + 25 = -4*o - t*w for o.
0
Let w be 5/10*(3 + -1). Let j(f) = f + 1. Let y be j(w). Solve 2*r - 12 = 6*r + 2*a, -11 = 3*r + y*a for r.
-1
Let k = -43 + 43. Solve k = -5*j + j + 4, -4*j = -c for c.
4
Let q be (-9)/(-4)*(2 + (-14)/21). Solve i = -2*o + 5*o + 12, 5*o = -q*i - 6 for o.
-3
Suppose -4*q - 2 = -18. Let f(y) = -y**3 + 7*y**2 - 6*y - 3. Let m be f(5). Let z = 45 - m. Solve -q*j - 21 = -2*j - 3*b, -j - z = -5*b for j.
-3
Suppose 78 = -2*r - r. Let d = -16 - r. Let v be 36/d*5/2. Solve a - 4*a - 3*p = -15, 0 = -5*a - p + v for a.
1
Let q = 1 - -2. Let l(d) = d**3 - 7*d**2 + 8. Let t be l(7). Solve -2*a + t = 4*z, 12 = 3*a + q*z - 0 for a.
4
Suppose -3*d + d + 32 = 0. Suppose -4*a + 0*a + d = 0, 2*b - 22 = -3*a. Solve -5*g - b = -3*u, -4*g + 3 = -3*u - g for u.
-5
Let v(i) = 2*i - 15. Let x be v(8). Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
5
a
Let r be (-3)/(-7)*2/3. Let s = -118.1 + 95. Let o = s - -23. What is the closest to o in r, 2, 4?
r
Let v = 0.2 - 0.1. Which is the nearest to v? (a) -3/7 (b) -1/2 (c) 0.2
c
Let v = 144/91 - 28/13. Which is the nearest to 0.1? (a) v (b) 8 (c) 2/9
c
Let i be (-1 - 3)/4 + 14/18. Which is the closest to -0.1? (a) -2/23 (b) -5 (c) i
a
Suppose 4*u + 4 = 4*d, -2*d = 2*d - 12. Let c be (u/18 + 0)*6. Let q = 1.2 + -1. What is the nearest to c in -1, 0.1, q?
q
Let v = 9 + -13. Let g be (-2)/(-18)*(-6 - v). What is the nearest to 0 in 0, 4/5, g?
0
Let y = -947/8 + 118. Which is the closest to -1/2? (a) y (b) -2/9 (c) 1
a
Let i = -1.2 + -0.8. Which is the nearest to i? (a) -1/9 (b) -2 (c) 0
b
Let x = -56.2 + 56. Which is the nearest to -1? (a) x (b) 3 (c) -0.4
c
Let l(q) = q**2 - 7*q + 1. Let o be (8/(-10))/((-2)/15). Let g be l(o). Let h = -0.01 + 4.01. What is the closest to -1 in -0.5, h, g?
-0.5
Let i be (10/4)/((-5)/10). Let p = -238/3 + 80. Which is the closest to p? (a) 4/3 (b) 2/3 (c) i
b
Let h be (2/(-12))/((-9)/(-6)). What is the nearest to -0.2 in -1/7, h, -4?
-1/7
Let j = -114 + 1940/17. Which is the closest to -3? (a) j (b) -3 (c) -2/9
b
Let z = 254/5 + -51. What is the nearest to z in 3, 5, -4?
3
Let j be -1 + (-2932 - (2 - 2)). Let d = j + 143711/49. Let g = d - 8/49. What is the closest to -0.1 in -0.4, g, -3?
g
Let h be 1*(-1)/(3/(-6)). Let m be -1 + 356/(-518) + h. Let f = 1/37 - m. Which is the nearest to f? (a) 3 (b) -2 (c) 0
c
Let r(z) = z**3 + 9*z**2 - z - 12. Let l be r(-9). Let x = -0.04 + -0.26. Let w = 49/90 + -2/45. What is the closest to 1 in x, l, w?
w
Let n = -2.04 + 0.04. Let k = 0.15 - 5.15. Let p be (-1)/(1 - 6/(-4)). What is the closest to p in k, -3/4, n?
-3/4
Let y = 13.8 - 2.8. Let x = -10.9 + y. Let d = 7 + -11. Which is the closest to x? (a) 0.2 (b) 3 (c) d
a
Let f = -3.4 + -1.65. Let m = 0.05 + f. What is the closest to 0.1 in m, -4, 3/5?
3/5
Let u = -0.07 + -0.13. Let o = -0.2 - u. What is the closest to o in 1, 1/2, 0?
0
Let x = -6 - 2. Let m(j) = j**3 + 7*j**2 - 8*j + 3. Let n be m(x). Which is the closest to 1? (a) -0.3 (b) n (c) 0.3
c
Let g = 0.18 + -0.18. What is the nearest to 1/2 in 0.1, 5, g?
0.1
Let z = -31 + 31.1. Which is the closest to z? (a) -0.1 (b) -2/7 (c) -4
a
Let j be 54/10 - 4/10. Let s = 1 + -8. Let i = s + j. Which is the nearest to -2/3? (a) i (b) 2 (c) 0.2
c
Let x = 1.33 - 4.33. Let j = -1 + 0.9. Let p = 0 - 0. What is the closest to j in p, x, -1/7?
-1/7
Let n(c) = c**2 - 8*c + 8. Let d be n(7). What is the closest to 0 in -4/3, d, 4?
d
Let o = -0.04 - 0.36. Let l = -3.99 - 0.01. Let v = 16.9 - 17. Which is the closest to -2? (a) v (b) o (c) l
b
Suppose -4*k + 3 = -5*f, 2 = -3*k + 5*f + 8. Let i = 0.38 - 1.38. Let z = 3.1 + -3. Which is the nearest to z? (a) 3 (b) i (c) k
b
Let c be ((-12)/21)/(40/28). What is the nearest to c in -3, -0.5, 1?
-0.5
Let p = -0.025 - -4.025. What is the nearest to 1 in p, 4/9, -4?
4/9
Let t be (-9 - -8)*(1 - 3/4). Let y = -0.2 + 0.3. Which is the nearest to t? (a) -5 (b) 5 (c) y
c
Suppose 4*c = -c - 4*q - 16, 5*c = 5*q + 20. Let m be ((-90)/21)/(2/28). Let s be ((-6)/m)/(9/(-12)). What is the closest to c in -2/17, s, 0.1?
0.1
Let s = -80 + 81. What is the closest to s in 1, 3/13, 3?
1
Let w = -7 - -11. Let a be ((-6)/(-4) + 1)*8. Let v be (a/(-16))/((-3)/w). What is the nearest to 2/5 in 4, v, 4/5?
4/5
Let h = 0.67 - 0.7. What is the nearest to 0 in h, -0.1, 3?
h
Let p = 0.13 - 0.08. Let w = p + 0.05. What is the nearest to w in 5, 1/8, -2?
1/8
Suppose d + 14 = -2*v, 3*v + 5*d - 18 = 4*v. Let t be 44/v + 2 - -3. Which is the nearest to t? (a) -2/3 (b) 2 (c) -3/4
a
Suppose 0 = 2*f - 7*f. Let o = 1 - 1. Suppose 0*u + u = 3. Which is the nearest to f? (a) 2/3 (b) u (c) o
c
Let h = 0.41 + -0.01. Let n = 21 - 21.23. Let y = 0.03 + n. Which is the nearest to 0? (a) h (b) y (c) -5
b
Let z = -1 + 1.5. What is the nearest to 0.2 in z, 0.2, 3/2?
0.2
Suppose 2 = x, 0*s + 5*x - 5 = -s. What is the closest to 0.2 in 0.5, s, 1/3?
1/3
Let t be (-92)/(-5) - (-18)/(-45). Let r be 4/14*(-42)/t. Which is the nearest to -1? (a) r (b) -0.4 (c) 4/5
a
Let f = 6 - 24. Let k = -17.5 - f. Which is the closest to 1? (a) -5 (b) k (c) -2
b
Let u = -13 - -11. Which is the closest to -2? (a) -2/3 (b) u (c) 3
b
Let p be -2 - 10/(450/(-81)). Let f be 1 + (-2)/(4/3). Which is the closest to p? (a) -4 (b) 4 (c) f
c
Let u = -0.09 + -10.91. Let w = u - -15. Let k = -0.2 + 1.2. Which is the closest to 1/4? (a) k (b) w (c) 2
a
Let l = -27.75 + 28. Which is the closest to 1? (a) -0.3 (b) l (c) -1
b
Let x(k) = k**3 + 8*k**2 - 8*k + 10. Let v be x(-9). Let f = 224/3 + -73. Which is the closest to v? (a) 2 (b) f (c) 1/2
c
Let o = 14.88 - 15. What is the closest to 0.1 in o, -2/15, 0.1?
0.1
Let k = -1.1 - -1.3. Let d = 4.5 - 4.8. Let u = 0.4 - 0.3. Which is the nearest to u? (a) d (b) -0.1 (c) k
c
Suppose -2*t = -7*t + 25. Let o be 2/(-12)*4*(-18)/20. Which is the nearest to -0.3? (a) 0.5 (b) o (c) t
a
Let s = 0.85 + 6.15. Which is the closest to s? (a) -4 (b) -2 (c) -2/5
c
Let u be (-2 + 3 + -1)/1. Let j = 12 - 7. Which is the nearest to u? (a) -0.4 (b) j (c) -2
a
Let i = -0.43 - -0.13. Let l = -266 - -1859/7. What is the nearest to 0 in i, l, 3?
i
Let x = -631/21 - -91/3. Which is the nearest to -1? (a) -1/8 (b) x (c) 0.2
a
Let m be ((-2)/1)/4 - 6/(-60). Which is the nearest to m? (a) -0.1 (b) 2/15 (c) 4/9
a
Let i = -0.1 - -0.6. Let s = 10/9 - 148/117. What is the nearest to -2/5 in s, -5, i?
s
Suppose 0 = 4*d - 4 - 0. Let y be 18/(-56) - 6/24. What is the nearest to d in 0.1, y, -1/3?
0.1
Let i be (1/(-3))/((-2)/1). Which is the closest to 0.1? (a) i (b) -1/3 (c) -0.5
a
Let g = -1 - -2. Let z be (1 + -2)*5*g. Let p = 3.2 - 3. What is the closest to -1 in 2/5, p, z?
p
Let f = -97 - -96.7. What is the nearest to -0.06 in f, 1, 3?
f
Let s = -4 + 3. Suppose 4*p = 9 - 1. Suppose -4*g - 6*w + p*w + 16 = 0, 0 = -5*g + w + 14. Which is the nearest to s? (a) -1/2 (b) g (c) -2/7
a
Let i = 105/4 + -743/28. Let h = 0.04 + -0.14. What is the closest to 2/7 in h, 4, i?
h
Let z = -14 - -18. Suppose -q + 5*p = 3*q - 75, 0 = -5*p + 5. Suppose -4*s + a = 5, s + 4*a - q = 4*s. What is the closest to 0.1 in s, 4/7, z?
s
Let n be (-2)/10*22 - -4. Which is the nearest to -0.2? (a) 5 (b) 2 (c) n
c
Let m = 5/78 + -123/26. Let f = 5 + m. Let a be ((-12)/(-10))/((-18)/(-45)) - 0. What is the nearest to a in -0.1, f, 5?
5
Let m = -7 - -6.6. Let l be 12/54 - 34/72. Which is the nearest to l? (a) m (b) 0.1 (c) -0.2
c
Let r = -4.17 + 0.17. Let n = -3 - -6. Let j = 2 + -2.2. What is the nearest to -2 in r, j, n?
j
Let b = -0.2 - -0.4. Let m = -11 - -8. Let c = 2/63 - -19/63. What is the nearest to c in b, m, 4?
b
Let w = 25 - 25.3. What is the closest to w in -0.4, 4, 3?
-0.4
Let r be (-8)/(-3)*(-45)/(-20). Suppose v + r = 3. Which is the nearest to 0.1? (a) 3 (b) 1 (c) v
b
Let d be -3 - -1 - 42/(-20). Let r = 0.32 + -0.12. Let p = 0.7 + 0.3. What is the closest to p in r, d, 0?
r
Let k = 61 - 425/7. Let s = 0.03 - 0.13. Which is the nearest to k? (a) s (b) 0 (c) 1
b
Let h = 5 - -5. Let r = -6 + h. Which is the closest to -2/5? (a) 0.4 (b) r (c) 0.3
c
Let i(f) = f - 3. Let t be i(4). What is the closest to t in -0.2, 2, 4?
2
Let q = 175/4 + -44. Which is the closest to q? (a) -0.1 (b) 5 (c) 13
a
Let g = 5 - 2. Which is the nearest to 1/4? (a) -0.3 (b) -4 (c) g
a
Let z = 1 + 11. Let w = 7 - z. Which is the closest to -1/4? (a) w (b) 4 (c) 1
c
Let g(k) = k + 9. Let q be g(-9). Suppose -15 = -q*w - 3*w. Which is the nearest to -0.1? (a) -2 (b) w (c) -0.2
c
Let t = -142 + 141.99. Which is the nearest to 0? (a) 1 (b) t (c) 2
b
Let g = -6 - -11. Which is the closest to -1/4? (a) -1 (b) 2 (c) g
a
Let o = 8 + -19. Let h = o - -7. Let j = h - -4.5. Which is the closest to 0.1? (a) 2 (b) j (c) -3
b
Let v be 62/30 - 20/50 - 1. Which is the nearest to 0? (a) 5/3 (b) 7/2 (c) v
c
Let s = 109/10 + -21/2. Which is the closest to -1/2? (a) 5 (b) s (c) -2
b
Let i = 12 + -12.09. Let z = i + -0.01. What is the nearest to z in 2, 1/6, 1/2?
1/6
Let w be 20/(-45)*(-6)/4. Let i = -33731/11 + 3069. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
- 257696 for t.
63
Solve -2048*g - 48125 - 35526 = 13130 + 1523 for g.
-48
Solve -122633 - 8772 = -3205*c for c.
41
Solve 580*u - 37083 = 11729 - 12272 for u.
63
Solve -111*r + 152*r + 14877 = -510*r for r.
-27
Solve 136*s - 202*s = 1584 for s.
-24
Solve 343*r = 244*r - 143*r - 13794 for r.
-57
Solve -133*o + 462 = -53*o - 21*o - 38*o for o.
22
Solve 376*t + 331*t + 1159 = -1841 - 4070 for t.
-10
Solve -20*z - 339596 = -339056 for z.
-27
Solve 179 - 234 = -73*i + 142 + 168 for i.
5
Solve 530*o - 18233 = -3332 + 11069 for o.
49
Solve 512*a - 794*a + 27367 = 400*a - 7415 for a.
51
Solve -1218*t - 383*t = -294*t - 49666 for t.
38
Solve -1447*y + 7801 = -52973 for y.
42
Solve -7912 = -11911*t + 11819*t for t.
86
Solve 2*x + 26 - 44 - 11 = 7 for x.
18
Solve 115*h - 72*h = 34*h - 117 for h.
-13
Solve 49200 = 424*l + 136*l + 424*l for l.
50
Solve 759*q + 468*q = 86095 - 18610 for q.
55
Solve 168 = 381*k - 723*k + 350*k for k.
21
Solve -3174*n = -3109*n - 1625 for n.
25
Solve 2642*c = -4060*c - 3139*c - 580619 for c.
-59
Solve -169*y - 659*y - 44289 = -125*y for y.
-63
Solve 68277*h - 68316*h = -1560 for h.
40
Solve -8087*z = -244167 - 370445 for z.
76
Solve -23165*d = -22798*d + 11744 for d.
-32
Solve 31*b - 881 = -299 - 117 for b.
15
Solve -130 = -460*b - 37 - 1473 for b.
-3
Solve 1396 + 798 = -456*y - 542 for y.
-6
Solve -117*r - 4420*r - 45900 - 51573 - 70396 = 0 for r.
-37
Solve -21*h - 948*h - 3955 = -28180 for h.
25
Solve -12197 = -530*s - 782*s - 7526 + 34689 for s.
30
Solve -733322 - 474838 = -12585*h for h.
96
Solve 9*p + 12400 = -10*p - 194*p + 13*p for p.
-62
Solve 152845 = -86*p + 156887 for p.
47
Solve 112*y = 334*y + 19*y + 9640 for y.
-40
Solve 0 = -164*g - 6*g + 617*g - 26373 for g.
59
Solve -14498 - 63029 = 2538*r - 9001 for r.
-27
Solve -54 = -88*f + 223 + 163 for f.
5
Solve -21*r - 562 - 129 = 65 for r.
-36
Solve 238*y + 1411 + 3634 = -46*y - 3759 for y.
-31
Solve -31858 + 14771 = -1045*z + 49656 + 14767 for z.
78
Solve 1434*h - 270915 + 64455 = -4301*h for h.
36
Solve -192*p + 4080 = -1704 - 3048 for p.
46
Solve 127*j - 82*j = -156*j - 181*j for j.
0
Solve 0 = -63*o - 57*o - 18*o - 12006 for o.
-87
Solve 164*d - 3530 - 9804 = 8*d - 74 for d.
85
Solve 169*y + 261 = 106*y + 92*y for y.
9
Solve -2482*q + 2712*q + 3910 = 0 for q.
-17
Solve 76744*x = 79671*x - 35124 for x.
12
Solve -686*x + 121*x - 739*x - 13013 = -121*x for x.
-11
Solve -60*s + 162*s + 14080 = -31*s - 43*s for s.
-80
Solve 153*x + 33498 - 117688 = -62158 for x.
144
Solve -1103*m + 6100 = 422*m for m.
4
Solve 272500*c = 272573*c - 1241 for c.
17
Solve 0 = 94736*c - 94642*c - 940 for c.
10
Solve 0 = -172241*l + 172062*l - 179 for l.
-1
Solve 0 = 45028*b - 45073*b + 1575 for b.
35
Solve -2852*m - 14693*m - 5512*m - 2297160 = -1787*m for m.
-108
Solve -1513*t + 1544*t = -154 - 373 for t.
-17
Solve -23346 + 1577 = 907*p - 2886*p for p.
11
Solve 0 = 1446*h - 30657 - 8385 for h.
27
Solve -1939*l + 427644 = 1455*l for l.
126
Solve 516*f + 6352 = 2947 + 2373 for f.
-2
Solve -2707*h = 2633*h - 5376*h - 3600 for h.
-100
Solve 84 + 221 = -254*h + 481*h - 149 for h.
2
Solve -25270*n = -25178*n - 4692 for n.
51
Solve 6789*u + 279372 = 462269 + 299122 for u.
71
Solve -50283 = -3827*p + 2468*p for p.
37
Solve -37811 + 37783 = 2*a for a.
-14
Solve 140*l + 322*l - 7148 = -5*l - 33300 for l.
-56
Solve 1484*j + 311273 + 386101 = 6890*j for j.
129
Solve 375107*t = 375551*t + 1160 + 172 for t.
-3
Solve 320*c + 4069 + 8411 = 0 for c.
-39
Solve 0 = -4175*o - 111076 - 160299 for o.
-65
Solve 13868*z - 15880*z = -42252 for z.
21
Solve 6827 + 457 = -402*v - 205*v for v.
-12
Solve 73988 = -2146*q + 155536 for q.
38
Solve -13*k - 17*k - 9*k - 905 - 2176 = 0 for k.
-79
Solve 602*g = -1782719 + 1730947 for g.
-86
Solve -402*s - 1277*s = -2729*s - 24150 for s.
-23
Solve 4*m + 291042 = -49*m + 287279 for m.
-71
Solve -916*g + 26228 + 3084 = 0 for g.
32
Solve 167*q - 144*q - 7259 = -293*q + 2537 for q.
31
Solve -1679*q - 1604*q = -791*q + 1409*q + 54614 for q.
-14
Solve -21141230 = 20*d - 21140130 for d.
-55
Solve 902*x = -405*x + 334*x - 65191 for x.
-67
Solve -158 - 84 = 2243*c - 2265*c for c.
11
Solve 5221 - 20805 = 487*k for k.
-32
Solve -1176*f = 1197*f - 2345*f + 868 for f.
-31
Solve -256695*q + 256721*q + 988 = 0 for q.
-38
Solve -107*q - 244287 + 249047 = 63*q for q.
28
Solve 0 = 14*t + 140402 - 140164 for t.
-17
Solve 763 = -1855*i - 2942 - 1497 - 2218 for i.
-4
Solve -22*k - 645 + 190 + 1095 + 636 = 0 for k.
58
Solve 0 = 244*x - 163*x + 338 - 3497 for x.
39
Solve 10040 = 8042*j - 8256*j - 5154 for j.
-71
Solve -298*g - 7176 = 81*g - 725*g - 850*g for g.
6
Solve -603 - 4059 + 1441 - 1103 = -47*n for n.
92
Solve 1428 = 11577*j - 11645*j for j.
-21
Solve 5*x + 26*x - 2012 = -37*x - 5616 for x.
-53
Solve -19*g + 22*g - 4361 = -86*g for g.
49
Solve 0 = 248*t + 702*t - 276*t + 41114 for t.
-61
Solve 2328*p - 87 + 1307 + 1244 = 136 for p.
-1
Solve 0 = -13*s - 171*s - 221*s + 405 for s.
1
Solve 89*g = -149*g + 52*g - 103*g + 2023 for g.
7
Solve -2024 = -145*q - 2553 - 12376 for q.
-89
Solve 544*q + 4749 + 7683 = -1010*q for q.
-8
Solve 3559*j - 3496*j + 945 = 0 for j.
-15
Solve -416*b - 4752 - 635 = -10010 - 8689 for b.
32
Solve 98*u + 19822 = 25702 for u.
60
Solve -363*v - 6929 + 14113 + 22582 = 0 for v.
82
Solve 273*l - 126535 = -6418*l + 20667 for l.
22
Solve 0 = 3912*b - 2116*b + 4579*b + 33984 - 467484 for b.
68
Solve -672*t + 21375 = -197*t for t.
45
Solve -185*l + 1280 = 6658 + 1097 for l.
-35
Solve 8205*o + 8245*o - 2450 = 16415*o for o.
70
Solve -5695 = -818*t + 82*t - 19056 - 43311 for t.
-77
Solve -418*u = 322*u + 102*u + 65*u + 12698 for u.
-14
Solve 1598 + 1394 = 1932*z - 436*z for z.
2
Solve 414*l = 82*l + 58*l + 20044 + 4068 for l.
88
Solve 483*r - 950*r + 270*r = 10441 for r.
-53
Solve 227*l + 7309 = 119*l - 181*l - 783 for l.
-28
Solve -483*r = -925*r + 345*r + 291 for r.
3
Solve 232*y - 196*y + 343*y + 3315 + 2749 = 0 for y.
-16
Solve 1831*y = -1849*y + 5498*y - 1838*y - 540 for y.
-27
Solve 38*w = -57*w + 17*w + 2382 + 894 for w.
42
Solve -1064*t - 1193*t + 2240 = 1062*t - 3479*t for t.
-14
Solve 104*u - 151*u = 147*u + 28*u - 20646 for u.
93
Solve -2550 = 485*x - 36891 + 2816 for x.
65
Solve 377*p + 430*p + 10392 = -44*p - 448*p for p.
-8
Solve 11098 - 22764 = 141*p - 10820 for p.
-6
Solve 30807*y - 29818*y - 43516 = 0 for y.
44
Solve 2725*r = 1343*r - 71864 for r.
-52
Solve -s - 1142*s - 18400 - 55895 = 0 for s.
-65
Solve 14194*m + 5128*m = -300552 - 1593004 for m.
-98
Solve -194*q - 1552*q = 2138*q - 388400 for q.
100
Solve 9957*p - 9811*p = -5110 for p.
-35
Solve 503*l - 1019*l - 446 - 152 = -503*l for l.
-46
Solve -330*t - 220*t - 978 - 106 = 16 for t.
-2
Solve -74210 = -4*i - 74070 for i.
35
Solve 0 = -1477*l - 10833 + 84683 for l.
50
Solve 433*q + 926*q - 202*q - 94178 = 196*q for q.
98
Solve 33217 - 20912 = -427*s - 108*s for s.
-23
Solve 8820*j = -7743 - 18717 for j.
-3
Solve -471*d - 6774 = -13839 for d.
15
Solve 25100 = -388*t - 616*t for t.
-25
Solve 250*b - 581 = 831*b for b.
-1
Solve -123*o + 1479 = 495 for o.
8
Solve -247672 - 240134 = -4279*s for s.
114
Solve -1039*q - 751*q = 466*q - 440*q + 108960 for q.
-60
Solve -1003*x + 11480 = -863*x for x.
82
Solve -3791*s = -128944 + 29044 - 116579 + 19347 for s.
52
Solve -2297*m + 3355 = -2236*m for m.
55
Solve 3978*s = -270285 + 286197 for s.
4
Solve 707*r - 7398 + 1443 = 8666 - 1188 for r.
19
Solve 422365 = -4088*o - 286*o - 595*o for o.
-85
Solve -84*l + 436*l + 43365 - 15667 = -907*l for l.
-22
Solve 12*f - 1329 = -163*f - 10079 for f.
-50
Solve 5177 + 19888 = 557*t for t.
45
Solve -999*d - 1351*d - 6927 - 66524 = 208549 for d.
-120
Solve -956*n + 1870*n = 1125*n - 2110 for n.
10
Solve 0 = -742*u - 13212 - 89926 for u.
-139
Solve -1215 = -456*w + 892*w - 463*w for w.
45
Solve 732717*x - 733822*x + 114920 = 0 for x.
104
Solve 5*i - 53*i = -439*i + 32493 - 1213 for i.
80
Solve 593*g - 12129 = -3713 + 6409 for g.
25
Solve -3293*w - 327161 = 1590*w for w.
-67
Solve -11719*g = -9343*g - 33264 for g.
14
Solve 1669*m = -3072 - 3604 for m.
-4
Solve -2168*a + 29735 - 103447 = 0 for a.
-34
Solve 4*h - 43*h + 249 = 741 + 600 for h.
-28
Solve 306*o = 463*o - 230*o - 1606 for o.
-22
Solve 5*k = k - 325 + 161 for k.
-41
Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
e l.
2
Express -5*m + 289*m**4 - m**2 - 14*m**2 - 290*m**4 as p*m**3 + k + g*m**4 + j*m + h*m**2 and give g.
-1
Express (-4 - 5 - 1)*(-3*h + 680 + h - 658) - 2*h + 4*h - 3*h as g + a*h and give g.
-220
Express -288*z - 113*z + 126*z - 137*z - 752*z in the form l + s*z and give s.
-1164
Rearrange 53*s - 173 + 2*s**4 - 28*s - 27*s - s**4 - 3*s**2 + 2*s**2 to the form u*s**3 + o*s**4 + g*s + l*s**2 + v and give l.
-1
Rearrange -10*k**2 + 988 + 5*k**2 - 981 - 12*k**2 to p*k + w + y*k**2 and give w.
7
Rearrange ((-p**3 - p + p)*(-p - 4*p + 4*p) - 2*p**4 + 33 - 33)*(10 + 17 - 5) to the form w*p**4 + h*p**3 + z*p + k*p**2 + b and give w.
-22
Express 4*z**3 - 32*z**4 - z + 33*z**4 - 10 - 5*z**3 as o + s*z + b*z**4 + a*z**2 + n*z**3 and give a.
0
Express (11*p + 11*p - 6*p)*(-10*p**3 - 7*p**2 + 7*p**2) in the form l + n*p + g*p**4 + k*p**3 + x*p**2 and give g.
-160
Express (1 + 1 - 4 + (114 - 387 - 349)*(2 - 1 + 1))*(-2*m**2 + 0*m + 0*m) in the form t + a*m + y*m**2 and give a.
0
Express 3*b**2 + 26*b**2 - 26046 + 26049 + b**3 in the form t + a*b**3 + m*b + c*b**2 and give t.
3
Rearrange -x**2 + 6*x + 92 + x - 95 to z*x + c + i*x**2 and give c.
-3
Rearrange (-o**2 + 0*o + 0*o)*(-98 + 353*o + 100 - 61*o) to r*o**2 + h + t*o**3 + z*o and give r.
-2
Rearrange -25*d - 34*d + 88*d - 92 - 31*d to the form b + n*d and give n.
-2
Rearrange (-1 + 0 - 3)*(2 - 4 + 1)*(0*a + 3*a + 0*a + (4*a - 3*a + 0*a)*(2 + 2 - 2) + (-a - 4*a + 2*a)*(-3 + 3 + 2) - 1 + 1 + 2*a) to i*a + j and give i.
4
Express (9*z - 14*z - 9*z)*((7*z - 4*z + z + (z + 3 - 3)*(1 + 0 - 2))*(5 - 3 - 3) + (2*z - 5*z + z)*(3 + 0 - 2)) as y*z**2 + h + x*z and give y.
70
Rearrange (-23*k**3 + 20*k**3 + 24*k**3)*(1 + 2*k - 1) + 3*k**4 - 5*k**4 + 0*k**4 to the form i*k**4 + v*k**3 + m + r*k**2 + c*k and give i.
40
Express (-v**2 + 4*v**2 - 2*v**2)*(-v + 0*v + 7*v) + (12*v + 5*v - v)*(-v**2 + 5 - 5 - v) as a*v**3 + i*v**2 + g + t*v and give a.
-10
Rearrange 3*m**2 + 0*m**2 - 2*m**2 + 82 - 82 + 28*m**2 + (0*m + m + m)*(0*m - 2*m - 6*m) to the form h*m**2 + b + x*m and give h.
13
Rearrange -458*z**2 + z - z**3 - 451*z**2 + 902*z**2 to k + r*z + x*z**3 + v*z**2 and give r.
1
Express 79*w + w**3 - 147*w + 29*w as p + l*w**3 + x*w**2 + t*w and give x.
0
Rearrange 157 - 2*s + 22*s**2 - 48 - 56 - 52 to the form d*s**2 + u + g*s and give d.
22
Express -128 - 171 + 390 - 3*x**3 + 2*x + 2*x**4 + 4*x**3 - 154 - 3*x**2 in the form z + w*x**3 + p*x + l*x**2 + d*x**4 and give d.
2
Express -4*n**3 - 7592*n**2 + 1 + 7593*n**2 - 37*n**3 - 2*n in the form l + m*n**3 + q*n + f*n**2 and give l.
1
Express i**2 + 22*i**2 + 100*i**2 + 110*i**2 as a*i**2 + c*i + y and give a.
233
Rearrange 2*x + 41*x**3 - 35*x**3 + 2 - 6 - 3 to p*x**2 + k*x**3 + i + b*x and give b.
2
Express (-29*w + 10*w + 11*w)*(0 - 2 + 3)*(0 + 11 + 7) in the form h*w + m and give h.
-144
Rearrange 3*q - 4*q + 0*q**3 + 3*q + 144*q**3 to the form f + i*q**3 + t*q + m*q**2 and give f.
0
Express -2*g**2 + g**2 + 753*g + 8 - 752*g as y + o*g + s*g**2 and give o.
1
Rearrange 5*k**3 - 48 + 4*k - 50 - 4*k**3 + 115 to the form f*k**3 + x*k + v*k**2 + o and give x.
4
Rearrange (0 - 5 - 4 + (2 + 1 - 2)*(-5 + 0 + 3))*(-9*m - m - 7*m) to t + i*m and give i.
187
Rearrange 2*a**2 + 47*a + 115*a - 78*a + 1 to m*a**2 + k*a + p and give m.
2
Rearrange (h + 0 + 0)*(37*h - 319*h + 1126*h + 793*h) to the form u*h**2 + z*h + t and give u.
1637
Rearrange -2 - 12*k - 7 - 8 + 16 - 123*k to b*k + r and give r.
-1
Express 7*d + 28*d - 463*d - 430*d + 191*d as b + i*d and give i.
-667
Rearrange (k**2 - k**2 + k**2)*(3*k - 3*k + k) + (4 - k - 4)*(-133*k + 64*k + 59*k)*(-2*k + 2*k - 2*k) to a*k + x*k**3 + m*k**2 + z and give x.
-19
Express (-x**3 + 0 + 0)*(131 - 328 + 127)*(-1 - 1 + 1) as o*x**2 + a*x**3 + r*x + s and give a.
-70
Rearrange -8 + 3*z + 0 - 3 + z - 6 to the form d*z + o and give d.
4
Express (-56301 + 56301 + 605*d)*(-2*d + 2 - 2) in the form q + j*d**2 + m*d and give j.
-1210
Express -15*n**3 + 6*n - 9*n + 25*n + n**3 + 9*n as c*n**3 + w*n**2 + b + p*n and give c.
-14
Express -401*k**2 + 358 - 722 + 364 - 1786*k**2 in the form x*k**2 + v + m*k and give v.
0
Express (0 - 3 + 1 - 2*b)*(30*b - 23*b - 30*b) in the form h*b + t*b**2 + r and give t.
46
Rearrange -2 - 31 + 7*o + 13 to i + n*o and give n.
7
Rearrange (-2*j + 0*j + 0*j)*(12*j - 5*j - 96*j) - j**2 + 4*j - 4*j to the form b*j + x*j**2 + m and give x.
177
Express (1 - 1 - g)*(-26 + 57 - 6)*(0 + 1 + 1) as l + s*g and give s.
-50
Rearrange (4*r + r - 3*r)*(1 + 0 - 2)*(730*r**3 - 15*r**2 - 2*r**2 - 727*r**3) to the form d + y*r + s*r**4 + l*r**2 + q*r**3 and give q.
34
Rearrange (-q - 2*q - 2*q - 2)*(2 + 1 - 6)*(0 - 1 + 3)*(0 + 3 - 8)*(-9 + 9 + 4*q**3) to the form h*q**2 + y + k*q**4 + s*q**3 + c*q and give s.
-240
Rearrange -40*o + 231*o + 107*o - 574*o to h*o + x and give h.
-276
Rearrange -o**3 - 9 - 2*o**2 - 3*o + 7 - 3*o - o**4 to the form y*o**3 + f*o + i + p*o**4 + j*o**2 and give p.
-1
Rearrange (-65*i**2 + 31*i**2 + 35*i**2 - 1 - 2*i**3)*(6*i - 6*i - 16*i) to the form l*i + y*i**2 + x*i**3 + w + p*i**4 and give x.
-16
Express 2*d - d + d + (4 + 0 - 3)*(-145 + 141 + d - 7*d) in the form p + a*d and give p.
-4
Rearrange -7 + 64*q - 6*q**2 + 48*q - 3*q**3 + 6*q**2 + 10 to the form k + d*q**2 + p*q**3 + s*q and give k.
3
Rearrange -8*x**2 - 5*x**2 + 2*x**2 + (3*x + 2*x - 4*x)*(10*x + 14*x - 7*x) to the form n*x + m*x**2 + o and give m.
6
Express -3*d - 3*d + 12*d - 4 in the form v + q*d and give v.
-4
Rearrange -12*d - 78*d + 91*d + 21 to w*d + m and give m.
21
Express (-2 + 2 - 2*x)*(-152 - 120 - 1029) + 6*x - 4*x - 3*x as w*x + v and give w.
2601
Rearrange b**3 - 12*b**3 - 10*b**4 + 30 - 32 to the form j*b**2 + v*b + h*b**3 + z*b**4 + l and give l.
-2
Express -34*m + 4*m + 2*m**2 - 137 - m + 136 in the form a*m + d + i*m**2 and give d.
-1
Express (-4*b + 0*b + 3*b)*(-788 - 754 + 1623)*(-5 + 3 + 1) in the form f + k*b and give k.
81
Express (5*h - 6*h - 2*h)*(0 + h + 0)*(-2*h + 4 - 5 - 1) in the form c*h**3 + q*h + m + j*h**2 and give c.
6
Rearrange (j + 0 - 2 + 1)*(9 - 236 - 162) to the form m + w*j and give w.
-389
Express -5*k + 3645*k**2 + 6*k - 3643*k**2 + 224*k**4 in the form o + m*k**4 + v*k + p*k**2 + d*k**3 and give v.
1
Rearrange -44*p**2 + 331*p**2 - 10*p**2 + (2*p - p + p)*(-3*p + 4*p - 3*p) to the form z*p + v + c*p**2 and give c.
273
Express 84*z + 419*z + 155*z as v*z + j and give v.
658
Express -760821 + 70*k + 760821 as w + f*k and give f.
70
Rearrange 0*m**3 + 2*m**2 - 18 - m**3 - 70 + 2*m**3 - 93 to the form s*m**3 + a*m + n*m**2 + r and give n.
2
Rearrange -2716*d**4 + 3*d + 0*d + 4 + 2714*d**4 to the form q*d**3 + r*d + x*d**2 + o + h*d**4 and give r.
3
Rearrange -3 - 5*y - 182*y**2 - 6*y + 180*y**2 - 12 + 3*y to the form x + v*y + a*y**2 and give a.
-2
Rearrange -31*x**2 - 14*x**2 + 12*x**2 - 9 to p + g*x**2 + s*x and give s.
0
Express -263*v + 381*v + 142*v + 559*v as g + r*v and give r.
819
Express -2867 + 1432 - 5*a**2 + 1448 in the form f*a**2 + h + p*a and give f.
-5
Rearrange (-37 - 34 - 30)*(2*f + 1 - f + 0*f)*(-f**3 - 3*f + 3*f) to u*f**4 + i*f**2 + w*f + g + d*f**3 and give u.
101
Rearrange (3*j + 2*j**2 + 8*j - 5 - 9*j)*(-1 - 1 + 4 + 1 + 1 - 3 + (-1 + 1 + 1)*(0 + 3 - 1)) to o*j + u*j**2 + b and give u.
6
Rearrange -14*y**2 - 14*y + 2*y**3 + 0*y**2 + 7*y**2 - 3*y**2 to the form o + w*y + k*y**3 + a*y**2 and give a.
-10
Rearrange 174*w**2 + 96 + 101 - 197 to y*w**2 + b + p*w and give y.
174
Express 276*f**2 - 127*f**2 + 79*f**2 + 346*f**2 as k*f**2 + p + t*f and give k.
574
Express -2*l**3 + 3 + 21*l**3 - 18*l**3 - l - 37*l**3 as c*l**3 + g + w*l + y*l**2 and give c.
-36
Express (4 - 4 + 10)*((-2*z + 0 + 0)*(3 + 1 - 6) + 2 - 2 + z) as q*z + v and give q.
50
Express (-26*f + 5*f - 15*f)*(3 - 5 + 7)*(-2 + 5 - 4) as w*f + j and give j.
0
Express -3*o**2 - 3*o**3 - 689 + 687 - 2*o**3 in the form y*o**2 + f*o**3 + k + t*o and give k.
-2
Rearrange (4*i + 2*i**3 - 4*i)*(55 + 38 + 46) + (4 + i - 4)*(-7*i**2 + 2*i**2 + 3*i**2) to d*i**2 + u*i**3 + w*i + z and give u.
276
Rearrange 18 - 3*c - 18 + (c + 0 + 0)*(-5 + 3 + 0) - 2 - 2*c + 2 - 29 + 21*c + 3*c - 28*c to q + u*c and give q.
-29
Rearrange -39*s - 40*s + 1 - 2*s**4 + 96*s to the form p*s + g*s**2 + i*s**4 + r + u*s**3 and give r.
1
Exp
|
{
"pile_set_name": "DM Mathematics"
}
|
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