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2, 11
Suppose 0*x - x = 3*u - 2362, -2*u = 5*x - 1566. List the prime factors of u.
2, 197
Let o(j) = -j**3 + 35*j**2 - 19*j - 97. List the prime factors of o(34).
7, 59
Let h(v) = -v - 12. Let y be h(-9). Let i = y - 3. List the prime factors of 14/(-21) - 136/i.
2, 11
Let q be (94/(-6))/((-1)/6). Suppose 7*u = 5*u - q. Let y = -23 - u. List the prime factors of y.
2, 3
Let y(z) be the second derivative of -z**5/20 - 5*z**4/4 + 7*z**3/2 - 27*z**2/2 - 4*z + 4. List the prime factors of y(-17).
2, 97
Suppose -12*a + 9652 = 1996. What are the prime factors of a?
2, 11, 29
Let g = 38 + 71. Let x = g + -47. List the prime factors of x.
2, 31
Suppose n + 39 = l, 0*n - 2*n - 114 = -3*l. Let v = -26 + l. Let m(x) = x**3 - 10*x**2 + x + 4. What are the prime factors of m(v)?
2, 7
Let w be -7 - -9 - (-8)/(-2). Let p(u) = -4*u**3 - u**2 + 3*u + 2. What are the prime factors of p(w)?
2, 3
List the prime factors of ((-129)/(-21) - 8/56) + 2386.
2, 13, 23
Let i be (6/(-8))/(14/3304). List the prime factors of (i/12)/(4/(-16)).
59
Let h = 304 + 201. What are the prime factors of h?
5, 101
Let n = 449 - 296. Let b = n + -89. Suppose 0 = -u - u + b. List the prime factors of u.
2
Suppose 4*x = 3*j - 13447, -5*j - 28*x = -29*x - 22440. List the prime factors of j.
67
Let z(v) = 4 - 6*v**2 + 8*v**2 + 0 - 5*v - v. What are the prime factors of z(4)?
2, 3
Suppose -240*t - 54972 = -252*t. What are the prime factors of t?
3, 509
Suppose 4*b - 5*a - 3092 = 0, 7*a - 3060 = -4*b + 4*a. List the prime factors of b.
2, 3
Let l be ((-6)/(-9))/(64/30 + -2). Let k = -14 + 33. Let n = k + l. What are the prime factors of n?
2, 3
Let l = 2 + 5. Suppose 5*y + l - 127 = 0. List the prime factors of -3 + 11/(11/y).
3, 7
Let z(l) = 69*l**2 + 15*l + 7. List the prime factors of z(-6).
7
Suppose -47*v = -40*v + 980. Let i = 177 + v. What are the prime factors of i?
37
List the prime factors of 4309 - 24 - (0 - 9).
2, 19, 113
Suppose 5 + 0 = 2*s + 5*k, 2*s = k + 11. Suppose 3*m - 167 = s*q, 220 = m + 3*m - 4*q. Let x = 87 - m. What are the prime factors of x?
3, 11
Let j(v) = -5*v - 35. Let z(m) = 3*m + 23. Let g(q) = 5*j(q) + 8*z(q). List the prime factors of g(6).
3
Let b be 806 - (-7 + 12)*(-2)/(-5). Suppose -2*o + 392 = -2*d - 2*d, 4*o = 4*d + b. What are the prime factors of o?
2, 103
Let r(u) = u - 8. Let p be r(9). Let q = p + 24. List the prime factors of q.
5
Suppose -6 = -f - 2. Suppose 0 = -0*u + f*u - 160. Suppose -3*k + 5*d = -4*k + u, 4*k - 130 = -5*d. What are the prime factors of k?
2, 3, 5
Suppose -2*t + 4*h = -316, 4*t - 2*h + 0*h - 662 = 0. Let k = t - -1. List the prime factors of k.
13
Suppose 4*p + 0 = 4*b - 4, 3*p = 5*b - 11. Suppose -33 - b = 4*l - 3*v, -5*v = l - 8. Let q = 14 + l. List the prime factors of q.
7
Let b = 173 + 39. List the prime factors of b.
2, 53
Suppose 2*s - 30 = -3*j, 4*s - 3*s - 2*j - 1 = 0. Let y(m) = 8*m + 2. What are the prime factors of y(s)?
2, 37
Suppose -528 = -3*h - 5*w + 1150, 0 = -h + w + 570. List the prime factors of h.
2, 283
Let r = -33 - -41. Suppose 2 = -r*u + 34. Suppose -2*j + 275 = 5*v, v - 4*j + 179 = u*v. What are the prime factors of v?
53
Suppose 94*k - 1684 = 90*k. What are the prime factors of k?
421
Suppose -20 = -8*c + 4*c. Suppose 251 + 269 = c*w. List the prime factors of w.
2, 13
Let l(c) = -12*c - 60. Let f be l(-6). Let o(u) = 9*u + 1. Let i be o(3). Let s = i - f. List the prime factors of s.
2
Suppose -775 = -3*g + b + 63, -g + 276 = -2*b. Suppose -g = -4*s + 472. List the prime factors of s.
2, 47
Suppose -4*t + 1 = -7. Suppose -4*j + 3*m + 71 = -t*j, 3*m + 15 = 0. Suppose j + 44 = 4*p. What are the prime factors of p?
2, 3
Let j = -9 + 10. Let r be (0*1/4)/j. Suppose 3*u + r*g - 2*g = 110, 0 = 2*u - g - 72. What are the prime factors of u?
2, 17
Let v = -29 + 53. Suppose -90 - v = -2*c. What are the prime factors of c?
3, 19
Let p = -22 - -27. Suppose x + p*c = 3, 4*x - 81 = c + 2*c. What are the prime factors of x?
2, 3
Suppose 10*c + 1520 = 5320. What are the prime factors of c?
2, 5, 19
Suppose 681 = 5*y - 9. Suppose 138 = 3*k - y. What are the prime factors of k/5 + (-4)/10?
2, 3
Let a(d) = d**3 - 19*d**2 - 11*d - 14. Let g(h) = 3*h**3 - 39*h**2 - 22*h - 28. Let x(f) = -5*a(f) + 2*g(f). List the prime factors of x(-16).
2, 47
Suppose -838 - 1221 = -3*o - 5*q, 0 = -4*o + 4*q + 2724. What are the prime factors of o?
683
Suppose 24 - 3 = -3*q. Let x be 9 - (-3 - 0 - q). Suppose x*z - 169 = 101. List the prime factors of z.
2, 3
Let i = -23 - -18. Let r(v) = -27*v - 15. What are the prime factors of r(i)?
2, 3, 5
Let t(z) = 11*z**2 - 11*z - 61. List the prime factors of t(11).
3, 383
Let k(f) = 65*f**2 + 3*f - 2. Suppose 4*n + 16 = 5*a, -a - 2*a + 8 = -4*n. What are the prime factors of k(n)?
2, 3, 11
Suppose -8620 + 2185 = -5*u. What are the prime factors of u?
3, 11, 13
Suppose -124 = -3*g - a - 0*a, 0 = 4*a - 16. List the prime factors of (-7)/((-70)/24)*g.
2, 3
Suppose 12*a - 18740 = 2272. What are the prime factors of a?
17, 103
Let d be -36*(-4)/(-4) - 4. Let t = d + 58. List the prime factors of t.
2, 3
Suppose -11*b - 105 = -4*b. List the prime factors of 3/b + 422/10.
2, 3, 7
Let y be (-9956)/(-30) + (-292)/60 + 5. Let k = -122 + y. What are the prime factors of k?
2, 3, 5, 7
Let l be 37 + -3*2/2. Suppose -374 = -4*n + 2*z, n = 5*z + l + 46. What are the prime factors of n?
5, 19
Let d = -20 - -372. List the prime factors of d.
2, 11
List the prime factors of ((-12)/8)/((-3)/902).
11, 41
List the prime factors of 15/((-150)/(-40)) + (-1 - -722).
5, 29
Let l = 4682 + -3142. What are the prime factors of l?
2, 5, 7, 11
Let a be -155 - -2*2/(-4). Let c = a - -221. What are the prime factors of c?
5, 13
List the prime factors of ((-4614)/(-24))/(18/16 - 1).
2, 769
Suppose 2*x - 5*x = -99. Let s = x - 28. Suppose -63 = -4*t - 3*l, -4*l - 33 - 7 = -s*t. What are the prime factors of t?
2, 3
Suppose 3*h - 3*p - 171 = 2*h, -5*h - p + 871 = 0. Suppose 2*s - 4*c = 254, -310 = -4*s + 2*c + h. What are the prime factors of s?
7, 17
Suppose 48 = r - 0*r. Suppose 5*p = l - 0*l + 49, -r = -4*p + 3*l. Suppose 5*y - 5 = -p*g + 4*g, 0 = 2*g + 5*y + 4. What are the prime factors of g?
3
Let s(b) = b**2 + 2 - 4*b + 7 + 3*b + 10*b. Let a be s(-8). List the prime factors of 24 - (3/3)/a.
23
Suppose 0 = 3*d + k - 4 - 11, -d - 3*k + 5 = 0. Let u be 11*-1 + (2 - d). Let j = -11 - u. What are the prime factors of j?
3
Let y = 136 - -49. List the prime factors of y.
5, 37
Let t(f) = 10*f - 2. Let k be t(-1). Let p = k + 15. Suppose 0 = -2*c - p*j + 38, -5*j = -5 - 5. List the prime factors of c.
2
Suppose -12*s + 861 = -7*s + 4*h, -s + 175 = -2*h. What are the prime factors of s?
173
Let u be ((-1)/3)/((-1)/(-1 + 1084)). Suppose 5*t = 3*n - u + 90, n - 77 = -t. What are the prime factors of n?
2, 41
Suppose -4*q + 72 = 2*g + 2*g, g + 2*q = 18. Let o = 25 - g. What are the prime factors of o?
7
Let l(q) = -3233*q + 10. List the prime factors of l(-1).
3, 23, 47
Let g = 151 - 217. Let v = 144 + g. What are the prime factors of v?
2, 3, 13
Let s = 21 + 40. Suppose -j + 40 = a, 20 + s = 2*j + 3*a. List the prime factors of j.
3, 13
Suppose 0 = -29*j + 32*j - 384. Suppose 13*s = 9*s + j. List the prime factors of s.
2
List the prime factors of ((-206)/(-3))/(12 + (-12958)/1083).
19, 103
Suppose 0 = 16*q - 11*q - 15. Suppose 5*v = 2*x + 1043, -6*v + 623 = -q*v - 4*x. What are the prime factors of v?
11, 19
Suppose 0 = -0*h - 7*h - 420. What are the prime factors of -3 - ((-136)/(-12))/(8/h)?
2, 41
Suppose k = -5*f + 23, 0 = -3*f + 2*k - 3*k + 13. Suppose -u - f - 4 = 0. Let s = 40 + u. List the prime factors of s.
31
Let d(z) = -37*z - 111. List the prime factors of d(-11).
2, 37
Let j = 995 - -889. List the prime factors of j.
2, 3, 157
Suppose -2*h = -11 + 19. List the prime factors of (h - -1) + 4 - -69.
2, 5, 7
Suppose k - 2153 = -5*c, -5*c = -4*k + 5561 + 3126. What are the prime factors of k?
2, 271
Let b be (0 + -2 + 3)*2. Let k(a) = -a + 4. Let r be k(b). What are the prime factors of (2 + 29)*2/r?
31
List the prime factors of (148/(-10))/(16/(-680)).
17, 37
Let y(x) = -x**3 - 8*x**2 - 5*x - 3. Let w be y(-7). Let b be (-2)/(-8) + (-369)/(-12). Let m = b + w. What are the prime factors of m?
2, 7
Suppose 3*b
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -10003. Is f at most 10368?
True
Let y = 17 + -17.7. Let p = -2841 + 2732.94. Let q = p - -108. Which is smaller: q or y?
y
Let i be ((-6)/26)/((-524)/52 + 10). Is i bigger than 75?
False
Let j be (-24)/156*(-156)/(-24). Let v = -77873/244 + 1277/4. Let p = 211/1525 - v. Which is bigger: p or j?
p
Let c(w) = 3*w**2 - 28*w + 7. Let g be c(8). Suppose -23 = 4*k - 3*k. Is g greater than or equal to k?
False
Let d be 2 - 0 - 552/266. Let q = 1972/1463 + d. Let r = -21/55 - -97/110. Which is smaller: r or q?
r
Let c = 6810 + -6825. Is 0 at most as big as c?
False
Let u(a) = 5*a**2 + 137*a + 31. Let k be u(-29). Suppose 0 = 261*c - k*c + 2. Which is greater: -3/404 or c?
c
Let g = -2735054/95 - -28790. Let l be ((-15)/6 + 2)*2. Is g <= l?
False
Let d = -4275 + 1145. Is d greater than -3130?
False
Let x(v) = -v**3 - 36*v**2 - 254*v + 33. Let b be x(-27). Which is bigger: b or 324?
b
Suppose 629 = 13*b + 1349 + 619. Which is smaller: -105 or b?
-105
Let z = -12168.5 - -12168.5. Let t = -437 - -620. Which is bigger: z or t?
t
Let x = 4/4295 + 183929/811755. Which is greater: 0 or x?
x
Let t be ((-370)/333)/(8/(-6))*6/(-10840). Which is smaller: t or 1?
t
Let x = 199 + -199. Suppose b - 2*c - 7 - 6 = 0, x = 2*b + 2*c - 14. Suppose -6 = -3*r + 2*r. Are r and b equal?
False
Suppose -4*x - x = 4*x - 6*x. Which is greater: -3/1475 or x?
x
Let h(g) = 9*g - 34. Let x = -48 - -56. Let m be h(x). Suppose 7*a = 185 - m. Which is smaller: a or 20?
20
Let w = 96 - 11. Let l be (-4 + w/20)*-4. Let q be (l/(-15))/((-6)/15). Which is greater: q or -1?
q
Let t = -1273 - -1253. Is t at least -199?
True
Suppose 0 = 8*v - 15 - 25. Suppose 9*o - 13*o = v*g - 16, -g = -4*o + 16. Suppose 3*q + 6 = o*n, 5*n + 1 - 3 = q. Is 5 at most as big as n?
False
Suppose -31 + 16 = -5*z. Suppose 3*p + d = 4*d, p = z*d - 4. Suppose -4 - 1 = p*t - 3*g, -4*t - g + 11 = 0. Is t <= 6/5?
False
Let b = 1.64 + 322.36. Let l = -312 + b. Which is smaller: 0.03 or l?
0.03
Let l be (28/(-16))/7 - 521455/100. Let b = 5160 + l. Which is bigger: b or -54?
-54
Let q(n) = -12*n + 4*n + 105 + 0*n. Let s be q(14). Which is smaller: 3 or s?
s
Let b = 14346 + -114767/8. Which is bigger: b or 27/13?
27/13
Let p = 20835 + -1041873/50. Let v = p - -14683/6050. Which is greater: v or -1?
v
Let q be (287/(-147) + 2)*9 + 128/28. Is q at most -820?
False
Suppose -57 - 59 = -2*s. Let b = 51 - s. Let w be 3 - (b/(-2) - 1). Which is bigger: w or -2/5?
w
Let j = -6956 - -6953. Which is smaller: j or 505?
j
Let n = -3263 + 61979/19. Suppose 3*b + 3 = 3*f, 4*f + 4*b - 9 - 27 = 0. Let m = 3 - f. Which is bigger: n or m?
n
Let h(j) = -90*j + 25. Let x be h(1). Let v = 64 + x. Which is bigger: -8 or v?
v
Let z be -1 - -5 - 1624/319. Suppose 4*m + 23 = k, 12*m - 16 = 15*m - k. Is m less than z?
True
Let i(f) = 39*f + 920. Let n be i(-27). Let u(d) = 2*d**3 + 8*d**2 - 2*d. Let c be u(-6). Which is smaller: n or c?
n
Suppose -7*z = -8*z - 14. Are -140/11 and z unequal?
True
Suppose -2*f + 155 = 4*q + 135, 0 = -2*q - 3*f + 2. Is q less than or equal to 8?
True
Let n = -16262 + 16261. Is 1/1074 smaller than n?
False
Let v be (-104)/195 + -1 + 4 + (-70)/30. Is v at most as big as 2.58?
True
Suppose 4*v + 2*z - 28 = 6, 5*v - 3*z = 37. Suppose 3*r = 5*w - 18, w + 17 = -2*r - v. Which is bigger: r or -10?
-10
Let w(f) = -f - 8. Let v be w(-10). Suppose 3*m + 2*q = 2, m = 3*q - 8*q - 21. Suppose 6 = 5*h - v*z, -2*h - m - 2 = -5*z. Is 2 at most h?
True
Let h = 232/77 - 30/11. Suppose -3*p = -4*x + 379, 26*x - 123 = p + 28*x. Is p not equal to h?
True
Suppose 4*o - p = -820, 2*o = 42*p - 46*p - 410. Which is smaller: -2247/11 or o?
o
Let n = 2287 + -2340. Which is bigger: n or -701/13?
n
Suppose 15*s = 2474 - 644. Suppose 0 = 3*x - 0*x - 2*o - s, 5*o = 5*x - 195. Do 44 and x have the same value?
True
Let b = 13922/19475 + 4/779. Suppose 637*f = -42*f + 186*f. Which is greater: b or f?
b
Let f be (-9 + 3)*(-20)/(-3). Let r = -36 - f. Suppose 0 = -r*z - 5 - 11. Which is bigger: -1/2 or z?
-1/2
Let b(x) = x**3 - 8*x**2 - 19*x - 14. Let a be b(10). Let o be ((-3)/(-52))/(5/a). Are 0 and o equal?
False
Let c = 61 - 67. Let d be (30/(-9))/2 - 4/c. Let n be (d/6*-4)/(-24). Which is greater: 1 or n?
1
Let l be 2/7 + 5/((-105)/6). Suppose -w - 2*w = l, -45 = -3*m - 3*w. Let s = -15 + m. Is 4/5 <= s?
False
Let z = 0.068 - -0.332. Let p = 20 + -19.89. Let w = p + -4.11. Which is bigger: z or w?
z
Let a(s) = 7*s - 46. Let h be a(7). Suppose h*m = -2*f, m = -2*f + 13 - 5. Let t be (5/((-135)/(-3)))/((-5)/f). Which is smaller: -1 or t?
-1
Let a = -37165 + 186626/5. Let s = -5437/35 + a. Suppose -4 = -4*f, 5*f - 3*f = 4*m - 22. Which is smaller: m or s?
s
Let y(o) = 2*o**2 + 21*o + 21. Let f be y(-10). Suppose -14*d + f*d = -3. Is 1/153 < d?
True
Let i = -179.8743 - -0.3743. Is i > 1?
False
Let k(b) = 13*b - 224. Let g = -55 - -81. Let y be k(g). Which is smaller: y or 113?
113
Let a = -3.744 + 3.24. Let x = a + 0.414. Do 3/20 and x have different values?
True
Let x be 5/(10/(-2)*1). Which is bigger: x or -2/6293?
-2/6293
Let z = -2679 + 2680. Does z = 2/5589?
False
Let p = 687.5213329 + -1.6812329. Let r = -0.1599 - p. Is 1 greater than or equal to r?
True
Let f(r) = -r**3 + 4*r - 1. Suppose 15*n = 7 + 23. Let u be f(n). Let l = 3.2 + -113.2. Is l > u?
False
Let f = 5.467 + -5.624. Let a = -33.8 + 34. Is a >= f?
True
Let s = 847475/189 - 4484. Which is greater: 1/7 or s?
1/7
Let p(z) = 121*z + 2993. Let b be p(-27). Which is smaller: b or -277?
-277
Let a be 8040/(-2214) + 4 - (-2)/(-9). Let d(c) = c**3 + 3*c**2 - 5*c - 5. Let p be d(-4). Is p less than or equal to a?
True
Let f(i) = 3*i + 3*i**2 - 114*i**3 - 2*i - 5*i + 6*i**3 - 6. Let o be f(-1). Is -2 <= o?
True
Let w = -2189 - 8685. Which is smaller: w or 1?
w
Let b(i) = -6*i - 232 + 236 + i**3 - 5*i**2 - i. Let u be b(6). Let o be (45/10)/((-1)/u - 0). Is o at most 9?
True
Let d = -1.21 + 30.31. Let h = -40936 + 40937. Is d bigger than h?
True
Let a be 85215/(-42294) + 1/14. Is a greater than -3?
True
Let i be -1 - -257*(-3)/(10029/(-13)). Let d = i + -83559/26744. Let u = 3 + d. Is 1 > u?
True
Let p(k) = -14*k**3 - 12*k**2 + 323*k + 15. Let m be p(12). Which is smaller: m or -22030?
-22030
Let q = 18.966 - 6314.966. Which is smaller: q or 1?
q
Let q be (0/((-54)/9))/(2/2). Is q bigger than 16/13?
False
Let r = -1 - -2. Let z = 1613/4922 - 5/214. Which is greater: z or r?
r
Let l = 1 + -14. Suppose 2*t = 5*g - 1 + 27, -g + 38 = 2*t. Let d be 2*-1*8/24*t. Is l greater than d?
False
Let q be 2/(-7) - 46/(-14). Let o = -321 - -333.3. Let u = -12.28 + o. Which is smaller: u or q?
u
Let f = 4361.42 + -4443. Let x = f - -2.58. Which is greater: 1 or x?
1
Let m = -7131/4 - -1784. Suppose -u + 3*f + 6 = -1, 0 = 5*f + 25. Let x be u/(-10) - 7/15. Which is bigger: m or x?
m
Let j = 956 - 402. Which is smaller: 551 or j?
551
Suppose 37*o - 36*o + 5*g + 10 = 0, -g - 2 = -3*o. Suppose -8 = 5*m + 2. Is o < m?
False
Suppose 3*k = 2*n - 116, k = 5*k - 4*n + 156. Suppose -4*f = -4*o - 164, -4*f - f = -3*o - 197. Let q = f + k. Which is bigger: 3/44 or q?
3/44
Let q = 654 - 654.55. Suppose -2*r + 8 = 2*r. Are q and r unequal?
True
Let p be (8 - (-14)/(-4))/((-26)/224). Which is bigger: -38 or p?
-38
Suppose h - 216 = 4*h. Let m(g) = 54*g + 1436. Let i be m(0). Let b = i - 1507. Which is smaller: h or b?
h
Let o(v) = -v**2 - 20*v + 101. Let s(l) = -l**2 - 22*l + 100. Let x(f) = 4*o(f) - 3*s(f). Let z be x(8). Is z less than -1/2?
True
Let p = 1253 + -51368/41. Let n = -395477 + 81073343/205. Let v = p - n. Is v >= -3?
True
Let g(a) = 14*a + 11. Let s be g(3). Let r = 34 + -88. Let w = s + r. Which is bigger: w or -3?
w
Let w = -18261 - -18261.205. Is w > -0.08?
True
Let j = 84 + -48. Let x be ((-2)/((-8)/(-138)))/(j/96). Let z = x - -93. Which is smaller: z or 3?
z
Let s = -717 - -713. Let w be (14/s)/(45/(-180)). Which is bigger: w or 27?
27
Let p(q) = -q**2 + 569*q + 4026. Let d be p(-7). Which is greater: d or -49?
d
Let x be (-85)/(-3) - 13/((-312)/16). Suppose v = x + 17. Which is smaller: 45 or v?
45
Suppose -5*k + 3*h + 41 = 12, 0 = -3*k + 5*h + 27. Let x(d) = -d**2 + d + 15. Let b be x(k). Let s = -8 - -6. Is b bigger than s?
True
Let d = 43 - 39. Let s = 22 - d. Let c = s - 22. Is -5 > c?
False
L
|
{
"pile_set_name": "DM Mathematics"
}
|
*s, 3*s - 5*m - w = 0. Suppose t + s + 91 = c, 0 = 4*t - 4. Is c prime?
True
Let h(m) = -m**3 + 13*m**2 - 4*m + 8. Suppose -3*x + 12 + 18 = 0. Let o be h(x). Suppose 2*w + 2*w - o = 0. Is w a prime number?
True
Let a(s) = 79*s**2 - 1. Let y be a(1). Suppose 4*i = i + y. Is i prime?
False
Let j = 409 - 114. Is j a prime number?
False
Is (2 - 2) + 786 + -8 composite?
True
Let i(x) = -x**2 - x + 1. Let j(w) = -2*w + 2. Let t(f) = -3*i(f) + 2*j(f). Suppose 0 = 2*b + 2 + 2. Is t(b) prime?
False
Suppose 2*q = 2*c - 6446, -5*c + 2*q = -q - 16123. Is c prime?
False
Suppose 6*t - 3*k = 2*t + 3502, k = 4*t - 3506. Is t prime?
True
Let i = 1511 - 997. Is i prime?
False
Let u be ((-30)/(-9))/((-1)/3). Let h = -15 - -14. Let y = h - u. Is y prime?
False
Is (-4 + 0)/(-4)*31 a composite number?
False
Let j(t) be the first derivative of 55*t**4/2 - t**2 + t + 1. Suppose -2 - 2 = -4*n. Is j(n) prime?
True
Let w = 552 - 320. Suppose 5*o + 321 = 2*v + 2*v, -5*o = 3*v - w. Is v composite?
False
Suppose 237 = -2*n + 3*n. Is n a composite number?
True
Suppose -9*i + 10290 = -3039. Is i composite?
False
Let o(t) = -t**3 - 8*t**2 - 6*t - 3. Let m be o(-7). Let a be 15/m*16/(-6). Suppose a*v - 85 = 63. Is v a prime number?
True
Let h(a) = -8*a + 4. Let f(s) = -7*s + 4. Let w(l) = -3*f(l) + 4*h(l). Is w(-3) composite?
False
Suppose 0 = -0*o - 2*o + 66. Let x be (32/12)/(4/(-78)). Let f = o - x. Is f a composite number?
True
Let i = -1 + 3. Let o be i*(-1)/((-2)/23). Suppose q - 91 = -4*s, -o = -5*s + 2*q + 94. Is s prime?
True
Suppose 4771 = 3*t - s, s + 4 + 0 = 0. Is t composite?
True
Let f = -2 - -5. Suppose -3*l - 180 = -6*l - 2*j, -4*l = -f*j - 223. Is l/3 - (-1)/(-3) a composite number?
False
Let f = 318 + -227. Is f prime?
False
Let w be 336/(-40)*(-170)/3. Let c = 1023 - w. Suppose 26 = -s - 2*h + 141, -5*s + 4*h + c = 0. Is s a composite number?
True
Let p(k) = 12*k + 3. Let g(i) = -23*i - 7. Let n(d) = 6*g(d) + 13*p(d). Is n(7) a composite number?
True
Let f(i) = -i**3 + 12*i**2 + 13*i - 17. Is f(12) a composite number?
False
Let q(u) = -u**2 - 7*u + 7. Let n be q(8). Let p = 270 + n. Is p prime?
True
Let m(u) be the first derivative of 3*u**4/4 - 2*u**3/3 + u**2/2 + u + 1. Is m(2) prime?
True
Suppose 3*u - 10 + 34 = 0. Is (-1)/(-4) + (-278)/u a prime number?
False
Suppose -5*c = 2 - 22. Let m = c - 2. Suppose n - 75 = -m*n. Is n prime?
False
Suppose -n - 15 = 2*n. Let j(h) = 8*h - 1. Let x(g) = -7*g. Let w(u) = n*j(u) - 6*x(u). Is w(7) a prime number?
True
Suppose -744 = -3*h - h. Let v = 263 - h. Suppose 3*o = -4*b + 215, -3*b = 4*o - 240 + v. Is b a composite number?
False
Let c(k) = -199*k + 76. Is c(-9) prime?
True
Suppose -1 - 3 = -n + 4*p, n = -5*p + 13. Let g = -4 - n. Is (-392)/g*(-6)/(-4) prime?
False
Let v(j) = -j**2 + 1 - 1 + 2*j. Let d be v(2). Suppose 7 = 2*n + 3, d = 4*i - 4*n - 84. Is i a composite number?
False
Let n(c) = -c**3 - 5*c**2 - 5*c + 2. Let k be n(-4). Suppose -445 = -4*w + 443. Is 4/k*w/4 prime?
True
Suppose -p + 587 = -993. Suppose -4*s + p = -0*s. Is s a composite number?
True
Suppose -11 + 35 = -4*z. Is (2/(-3))/(z/981) a composite number?
False
Suppose 2*c = -c + 9. Suppose 5*l - 4*o - 41 = 0, -12 = -l + c*o + 5. Suppose 5*i - 35 + l = 0. Is i prime?
False
Suppose 16 = -2*u - 4*n - 8, -5*n = -2*u - 42. Is (483/(-12))/(4/u) a composite number?
True
Let x = 10 - 5. Suppose -x*f + 12 = 2. Suppose f*s = 3*s - 3. Is s a prime number?
True
Suppose 0*m + 4*m = -4*k + 28, 5*k + 5 = 5*m. Let l(v) = v**2 - 4*v + 1 + 0 - k. Is l(5) a prime number?
True
Let n be -237 + (-6 - -2)/4. Let q(p) = 10*p**2 + 5*p + 5. Let g be q(-6). Let m = n + g. Is m composite?
False
Suppose 4*y - 21 = 7*y. Let h(k) = -2 - 9*k + 3 + 1. Is h(y) a prime number?
False
Is 83797/35 - (-4)/5 a composite number?
True
Let g(n) = n**3 + 2*n**2 + 2*n - 4. Let d be g(-3). Let r = d - -230. Is r a composite number?
False
Let w be 1/(-2) + (-268)/(-8). Suppose 90 = g - w. Is g prime?
False
Suppose f - 23108 = -5*a, 4*a + a - f = 23102. Is a prime?
True
Let l(v) = v + 6. Let d be l(0). Let b(c) = 6*c + 3. Let t be b(-3). Is (-153)/(-5) - d/t a composite number?
False
Suppose 131 = 2*v - 63. Is v a prime number?
True
Let f(s) be the second derivative of s**3/3 - 3*s**2/2 + 2*s. Let o be f(3). Suppose 5*u - 77 = -4*p, -3*p - o*u = 2*u - 64. Is p composite?
False
Suppose -l - l + 4 = 0. Suppose -u - 29 + 201 = 4*n, 0 = -l*n + 4*u + 86. Is n a composite number?
False
Let t(p) = p**2 + 4*p + 4. Let o be t(-4). Suppose 27 = 3*g - 2*i, 6 = -g - 3*i + o. Is g a composite number?
False
Let i(q) = -q**2 + 7. Let s = 5 + -5. Is i(s) prime?
True
Suppose -r = -3 - 0. Is r + -2 + (2 - -7) a prime number?
False
Suppose -4*u = 4*y, 0 = -2*y - 7 + 3. Let k(b) = -7*b + 0*b - u + 1 - 3. Is k(-5) a composite number?
False
Let w(y) = -y + 1. Let h be w(2). Let l = 3 - h. Suppose -78 = -l*r + 78. Is r prime?
False
Let h(d) = -23*d - 4. Let a be 1/((-22)/10 - -2). Let s be h(a). Suppose s = -c + 4*c. Is c a composite number?
False
Let t(i) = -4*i - i + 3*i**2 - 5*i + 4*i + 6. Is t(5) composite?
True
Let u(s) = s - 44. Suppose -y = -5*y + 24. Let j(p) = -p + 43. Let m(v) = y*u(v) + 7*j(v). Is m(0) composite?
False
Let s(y) be the second derivative of -y**3 + 11*y**2/2 + 2*y. Is s(-7) a prime number?
True
Let n = -2632 + 4113. Is n prime?
True
Suppose -7*l = -l - 342. Is l composite?
True
Suppose -2*p - 4*n + 30 = 0, 3*p - 25 = 2*n - 4*n. Is (-1)/p + (-131)/(-5) composite?
True
Suppose 4*t - 4*v = 340, 0 = 5*v - 0*v - 25. Let q = -53 + t. Is q a prime number?
True
Let k be 2/4 - (-1)/2. Let z be (1 - 1 - 6)*-4. Let l = k + z. Is l prime?
False
Let y = 443 + -120. Is y a composite number?
True
Let x(m) = -36*m + 36. Let t(d) = -7*d + 7. Let v(l) = 21*t(l) - 4*x(l). Is v(-4) prime?
False
Let t be 1 + 1 - (-3)/(-1). Let w = t + 5. Suppose -w*v + 438 = 5*b - 853, -3*b + 781 = -4*v. Is b composite?
True
Let u(g) = -g**3 - 3*g**2. Let i be u(-3). Suppose t = -i - 2. Let f = t - -15. Is f a prime number?
True
Is (368/(-6))/(-8) + 4/(-6) a composite number?
False
Let n(z) = 46*z**2 - 12*z - 3. Is n(8) composite?
True
Suppose -2*j - 30 = 3*j. Is 422/j*24/(-8) a prime number?
True
Let h(o) = -o + 14. Let m be h(11). Suppose -k = 0, -5*k = m*s - s - 134. Is s a composite number?
False
Let o(v) = 11*v**2 + 2*v - 1 - 1 + 0 - 4*v**2. Is o(-3) prime?
False
Let g(o) = -13*o + 9. Let n be g(5). Let s be 21/2*(-4)/2. Let t = s - n. Is t a prime number?
False
Suppose -4*p = -5*y - 645, -127 = 2*y + 4*p + 103. Suppose 5*w + 1099 = b, -342 = 3*w + 2*b + 320. Let c = y - w. Is c composite?
True
Let x(a) = 24*a**2 - 7. Is x(3) a composite number?
True
Suppose -5*z = 4*f - 1943 - 526, f = 4*z - 1971. Is z a prime number?
False
Suppose 5 - 19 = 2*i. Let p = i - -28. Is p a composite number?
True
Suppose 91 = -2*p + a, -8 = p - 4*a + 27. Let u = -33 - 0. Let g = u - p. Is g prime?
False
Let i(o) = 3*o**2 + 5*o - 5. Is i(-13) composite?
True
Suppose 4 + 1 = m, 3*c - 3*m + 3 = 0. Suppose 3*a + 77 = -c*f + 207, 4*f + 2*a = 128. Suppose 3*h = -5*v + 124, 4*h - f = 4*v + 81. Is h a composite number?
True
Suppose -3*j + 1 + 272 = 3*w, -w + 467 = 5*j. Is j composite?
True
Let k(h) = h**2 - 4*h. Let p be k(5). Suppose 983 = 6*i - 2*i - p*l, -2*i + 5*l = -489. Is i prime?
False
Suppose 2*j + 3*b - 871 = 6*b, -5*b + 25 = 0. Is j a prime number?
True
Suppose 0 = -2*m + 3 + 1. Is 1947/4 + m/8 a prime number?
True
Let b = 220 + -648. Let a = b - -723. Suppose 2*q - a = -3*q. Is q composite?
False
Let c be -3 + 13 + (-2)/2. Suppose -5*n + c*n - 532 = 0. Is n a prime number?
False
Suppose -5*d - 3*k = 0, 5 = -5*d - 0*k - 2*k. Let u be 5 + -3 - d/(-1). Is (236/(-8))/(u/2) a composite number?
False
Is 2552/(-32)*4*-1 composite?
True
Suppose 3*i = i + 6. Suppose -i*t = 2*t. Suppose 2*n + n - 21 = t. Is n prime?
True
Suppose 1 = 3*c - 2*n - 16, -5*c + 20 = -5*n. Is ((-444)/c)/(4/(-6)) composite?
True
Let g = 561 + -388. Let j = -28 + 16. Let l = g + j. Is l prime?
False
Let c = -1 + 4. Suppose c*m = -m. Suppose b + 2 - 9 = m. Is b a composite number?
False
Let n be (-8790)/(-18) + (-4)/(-6). Suppose -2*o + n = o. Is o composite?
False
Let b be (-17 - -3)*30/(-7). Suppose -4*x + b = -d + 5*d, 5 = -x + 3*d. Suppose 4*r + x = 38. Is r a com
|
{
"pile_set_name": "DM Mathematics"
}
|
.18, -1
Sort -66, -6, 5, 13, 3.
-66, -6, 3, 5, 13
Sort 1/11, 2/17051, -0.05 in descending order.
1/11, 2/17051, -0.05
Sort -166, 0, -0.12, -2, -1, -0.2 in increasing order.
-166, -2, -1, -0.2, -0.12, 0
Sort 2, -7147, 18, -4.
-7147, -4, 2, 18
Sort -1, -4692, 0 in ascending order.
-4692, -1, 0
Put -100, -1/4, 1/2, 1215/7 in decreasing order.
1215/7, 1/2, -1/4, -100
Put -3, 450, -16 in increasing order.
-16, -3, 450
Sort -69, 158, 1/4 in descending order.
158, 1/4, -69
Sort 4, -7, 119, -3, 1 in increasing order.
-7, -3, 1, 4, 119
Put 3, 4, 50, -5, 10, 5 in increasing order.
-5, 3, 4, 5, 10, 50
Sort 30333, 2/7, -2 in decreasing order.
30333, 2/7, -2
Put 1, -11516, 2/5 in decreasing order.
1, 2/5, -11516
Put -4, 1, -42748 in decreasing order.
1, -4, -42748
Sort 45, -4, -3, 5, 39 in decreasing order.
45, 39, 5, -3, -4
Sort 0, 4, 3, -1260, 5 in decreasing order.
5, 4, 3, 0, -1260
Sort -2, 929, 3 in increasing order.
-2, 3, 929
Sort 0.5, 0.2, -59, -144 in decreasing order.
0.5, 0.2, -59, -144
Sort 1, -16, 5, 2, 1820 in increasing order.
-16, 1, 2, 5, 1820
Put -7, 0, 3, -82, 17, -1 in ascending order.
-82, -7, -1, 0, 3, 17
Put 1.7, 4/3, -7, 1/82 in decreasing order.
1.7, 4/3, 1/82, -7
Sort -3, 10, 7, -9 in descending order.
10, 7, -3, -9
Sort 1, 21, 3, 4, 5, 1223 in decreasing order.
1223, 21, 5, 4, 3, 1
Put 378, -0.4, 10, 3/5 in decreasing order.
378, 10, 3/5, -0.4
Put 12.8, -1/6, 0, 0.01 in descending order.
12.8, 0.01, 0, -1/6
Sort -1, -47, 35, 3 in increasing order.
-47, -1, 3, 35
Put 45, 12, -0.1, -4 in decreasing order.
45, 12, -0.1, -4
Put -0.1, -2433, -1/5 in increasing order.
-2433, -1/5, -0.1
Put -2/7, -3075, 7 in decreasing order.
7, -2/7, -3075
Put -2/7, -3, -1/7, -51.1 in descending order.
-1/7, -2/7, -3, -51.1
Sort 824, 3, -9, 1, -3, -4 in increasing order.
-9, -4, -3, 1, 3, 824
Sort 1, 80, -110 in increasing order.
-110, 1, 80
Put 1, -173, -5, 4 in decreasing order.
4, 1, -5, -173
Put 31, 15, -3, -80 in ascending order.
-80, -3, 15, 31
Sort -0.1, 12, 0.3, 481, 2.
-0.1, 0.3, 2, 12, 481
Put -47, -5, -440/3, -0.4, 1/8, 2 in decreasing order.
2, 1/8, -0.4, -5, -47, -440/3
Sort -33, 101, -3, -4, -5 in descending order.
101, -3, -4, -5, -33
Sort -29, -91, -2, 0 in ascending order.
-91, -29, -2, 0
Sort 2/3, 106, 4, 1, -39, -2/7.
-39, -2/7, 2/3, 1, 4, 106
Sort -0.1, -2, 253, 1/4, 0.3 in descending order.
253, 0.3, 1/4, -0.1, -2
Put -1, -95, 0, 2, 3 in decreasing order.
3, 2, 0, -1, -95
Sort -0.5, 0.5, 17, -2, -0.065, -11 in decreasing order.
17, 0.5, -0.065, -0.5, -2, -11
Put -3, 60968, 16 in descending order.
60968, 16, -3
Sort 2, -23162, -2/17, -5, 0.3.
-23162, -5, -2/17, 0.3, 2
Sort 0, 42, -4, 2, -1, -3 in decreasing order.
42, 2, 0, -1, -3, -4
Put 5/2, 5, -18, -2.23 in ascending order.
-18, -2.23, 5/2, 5
Sort -1/276, -1502, 1 in decreasing order.
1, -1/276, -1502
Sort 1, -2, 0.7, 2, 0.029 in increasing order.
-2, 0.029, 0.7, 1, 2
Sort -5, -6, -255, 4, 2, 3 in descending order.
4, 3, 2, -5, -6, -255
Put 3, -1, 11, 0, 10, -112 in ascending order.
-112, -1, 0, 3, 10, 11
Put 23, -3, -2, -5, -14, -142 in increasing order.
-142, -14, -5, -3, -2, 23
Sort -6, -5, -1537 in descending order.
-5, -6, -1537
Put 1, 1306, -2 in ascending order.
-2, 1, 1306
Sort 26, -0.3, 13, 0.7 in increasing order.
-0.3, 0.7, 13, 26
Put 3, 2642, 10 in increasing order.
3, 10, 2642
Put -52, -3, 210, 7, 2 in decreasing order.
210, 7, 2, -3, -52
Put 3, -220, -4, 5, -9 in ascending order.
-220, -9, -4, 3, 5
Put -5, -58, -8/7, 5, -0.01 in increasing order.
-58, -5, -8/7, -0.01, 5
Sort -51, -1/21, 1, -12 in decreasing order.
1, -1/21, -12, -51
Sort 3, 117, 27, -3, 6 in increasing order.
-3, 3, 6, 27, 117
Sort 4, 2, 12, -60 in increasing order.
-60, 2, 4, 12
Put -584, 5, -0.5, 12, 0.1 in ascending order.
-584, -0.5, 0.1, 5, 12
Put 3/2, 13, -1/5, -0.4, 17, 0 in ascending order.
-0.4, -1/5, 0, 3/2, 13, 17
Sort -25, -2, 2923.
-25, -2, 2923
Put -105, -91, -4, -1, 11, -3 in decreasing order.
11, -1, -3, -4, -91, -105
Sort -25, 857, -4, -2.
-25, -4, -2, 857
Sort -49, -8, 2, -29 in descending order.
2, -8, -29, -49
Put -0.1, -2/85, 27.45 in ascending order.
-0.1, -2/85, 27.45
Sort 3, -4, 6550, -0.18, 4.
-4, -0.18, 3, 4, 6550
Put 13, 867, -3, 1, 5, 2 in descending order.
867, 13, 5, 2, 1, -3
Sort -4, 6, 34, 4.
-4, 4, 6, 34
Sort -3, 2, 4, 125, 1 in descending order.
125, 4, 2, 1, -3
Sort -62/21, -5, 2/27, -0.4.
-5, -62/21, -0.4, 2/27
Sort -16, 12, -25 in increasing order.
-25, -16, 12
Put -14361, 2, -2, -5 in ascending order.
-14361, -5, -2, 2
Put -4, 37, -1/6, -8 in decreasing order.
37, -1/6, -4, -8
Sort -4, -3, -1990.
-1990, -4, -3
Sort -4984/15, 8, -0.4.
-4984/15, -0.4, 8
Sort -3, 1, 49, 6, 0 in ascending order.
-3, 0, 1, 6, 49
Sort 5, -4243, -7, -2.
-4243, -7, -2, 5
Sort 772, 3, 11, 2, 0 in decreasing order.
772, 11, 3, 2, 0
Sort 32, 500, -3, -5, -4, 1.
-5, -4, -3, 1, 32, 500
Put 1554, 0.3, -7.2 in ascending order.
-7.2, 0.3, 1554
Sort -0.1, -8052, 1/5, 3, 2/5 in descending order.
3, 2/5, 1/5, -0.1, -8052
Sort -3, 5, 2, -206/3.
-206/3, -3, 2, 5
Sort -1360, 73, -2.
-1360, -2, 73
Put -2, -6136, 4, 0 in ascending order.
-6136, -2, 0, 4
Put 25, -4/7, 0.02, -0.94, 0 in decreasing order.
25, 0.02, 0, -4/7, -0.94
Sort 0.428, -3, -1249.
-1249, -3, 0.428
Put -5, -1, 2, 4, 5, 18 in decreasing order.
18, 5, 4, 2, -1, -5
Sort 5, 0, -347, -1 in increasing order.
-347, -1, 0, 5
Sort -5, -3, 5, -195, 74 in increasing order.
-195, -5, -3, 5, 74
Sort -2, 27, -5, 5, 2.
-5, -2, 2, 5, 27
Put -2930, -2/7, 6, -5/4, 0.2 in descending order.
6, 0.2, -2/7, -5/4, -2930
Sort -21, -9171, 4, -4 in increasing order.
-9171, -21, -4, 4
Put 1591, -5, 4 in decreasing order.
1591, 4, -5
Sort -70, 75, -2.
-70, -2, 75
Sort -4, -112, -25, 118 in descending order.
118, -4, -25, -112
Put 0.3, 4, 6, -0.5, 2/7, -3244 in decreasing order.
6, 4, 0.3, 2/7, -0.5, -3244
Sort 3, -106, -1, -4, 1.
-106, -4, -1, 1, 3
Sort 22, 1/9, 16, -0.5, 3, 0 in descending order.
22, 16, 3, 1/9, 0, -0.5
Sort -3, -926, -16 in ascending order.
-926, -16, -3
Sort 1, 2/73, -1.7, -1/9, -1/7, -5 in descending order.
1, 2/73, -1/9, -1/7, -1.7, -5
Put 2/5, 16, 0.03, -7, -5, 2/7 in increasing order.
-7, -5, 0.03, 2/7, 2/5, 16
Sort -2, 7, 2, -8, 0, -43 in descending order.
7, 2, 0, -2, -8, -43
Put -289, 4, -8, -2, -1, 7 in decreasing order.
7, 4, -1, -2, -8, -289
Sort -3, 2, -9, -22, 6 in ascending order.
-22, -9, -3, 2, 6
Sort 4, -5, 1, -13, -39 in decreasing order.
4, 1, -5, -13, -39
Sort 2/3, -308/9, -7, 3, -3/2 in ascending order.
-308/9, -7, -3/2, 2/3, 3
Put -156, 1, -8 in decreasing order.
1, -8, -156
Put 3, -5, -19, 1, -134 in decreasing order.
3, 1, -5, -19, -134
Sort -1, 5910, 6 in decreasing order.
5910, 6, -1
Put 4, -5, -16880, 5 in descending order.
5, 4, -5, -16880
Sort -2, -1893, -118.
-1893, -118, -2
Sort -2/7, -1/11, 1/8, 18, 23 in ascending order.
-2/7, -1/11, 1/8, 18, 23
Sort 35, 5, -270 in decreasing order.
35, 5, -270
Sort -14, -4, 5, 101, -1 in increasing order.
-14, -4, -1, 5, 101
Sort -10, 40279, -1.
-10, -1, 40279
Sort 4, -5570, 3, 12 in descending order.
12, 4, 3, -5570
Sort 0.3, 1, -34, -27.5, -3 in decreasing order.
1, 0.3, -3, -27.5, -34
Sort -2, 102.2633, -0.2.
-2, -0.2, 102.2633
Put -2, -17, 32, -8, -3 in increasing order.
-17, -8, -3, -2, 32
Put -16, 4, -5, 3, 0, -149 in increasing order.
-149, -16, -5, 0, 3, 4
Sort 50, 1124, -2.
-2, 50, 1124
Sort 5, -189, 94, 4 in descending order.
94, 5, 4, -189
Sort -11, -967, -9 in increasing order.
-967, -11, -9
Sort -0.1, -2, -1/7, -1, -7203 in ascending order.
-7203, -2, -1, -1/7, -0.1
Sort 0.4, 5, 24760 in ascending order.
0.4, 5, 24760
Sort 3, 5, -2, 4, 87, -6 in descending order.
87, 5, 4, 3, -2, -6
Sort -3, 7, -5, 0, -96, 22 in increasing order.
-96, -5, -3, 0, 7, 22
Put 4, -1, -57, -3465 in increasing order.
-3465, -57, -1, 4
Put -1, -0.8, -2/35, 3, -465 in increasing order.
-465, -1, -0.8, -2/35, 3
Put -2/3, -32.9, -1/3, 2/3, 0.3 in decreasing order.
2/3, 0.3, -1/3, -2/3, -32.9
Sort -3, 3914, 3, -5 in ascending order.
-5, -3, 3, 3914
Sort -6, -1, 4, 50, -5 in increasing order.
-6, -5, -1, 4, 50
Sort -16/59, -4/7, -1/3, -0.01, 1/5 in descending order.
1/5, -0.01, -16/59, -1/3, -4/7
Put -0.21, -7, -86, 0.2, -2/7 in increasing order.
-86, -7, -2/7, -0.21, 0.2
Put -0.3, -5, -4,
|
{
"pile_set_name": "DM Mathematics"
}
|
2.
35*l**5
Expand (-2 + 0 + 0)*(2 - 2 + 2*c**4) - 3*c**4 + 4*c**4 + c**4 - 2*c**2 - 7*c**4 + 2*c**2 - 2*c**4 + c**4 + 4*c**4.
-6*c**4
Expand ((-3 + 0 + 5)*(6 + 4 - 2) + 1 - 3 + 5)*(1 - 3 + 0)*(-c + 0*c + 3*c).
-76*c
Expand (5 + 5 - 6)*(-52*g + 27*g + 28*g)*(-3 + 0 + 6).
36*g
Expand (25*u - 1285 + 74*u + 1303)*(-3 - 2 + 4).
-99*u - 18
Expand (-3 + 0 + 4)*(-2 - 5 + 4)*(-33 + 2*p**2 + 33)*(-p + 2*p**2 - p**2 + 0*p).
-6*p**4 + 6*p**3
Expand (419*a + 734592 - 734592)*(5*a**2 - 4*a**2 - 3*a**2).
-838*a**3
Expand (-2*n**2 + 0*n**2 + n**2)*(46 - 30 + 5*n - 15)*(4 - 4 + 2*n).
-10*n**4 - 2*n**3
Expand -w**5 - w**5 + w**5 + 2*w**5 + 0*w**5 + 0*w**5 + (-w**3 + 4*w**3 - 4*w**3)*(0*w + 0*w - 2*w**2) + w**5 + 6*w**5 - 5*w**5 + 6*w**5 - 1 - 9*w**5 + 0*w**5.
2*w**5 - 1
Expand (-4*m**3 + 2*m**2 - 2*m**3 + 5*m**3)*(-19080*m + 19080*m - 202*m**2).
202*m**5 - 404*m**4
Expand (149*a + 1 - 32*a - 67*a)*(-4*a + a + 4*a).
50*a**2 + a
Expand (0 + 0 + w)*(-2*w**3 - w + w) - 1 + 1 - w**4 - 606*w**4 - 83*w**4 - 215*w**4.
-907*w**4
Expand 17*d**2 - 17*d**2 + 2*d**4 + (2*d - 3*d + 0*d)*(d**3 + 3*d**3 - 3*d**3) + 142*d**3 + 9*d**4 - 142*d**3.
10*d**4
Expand (-5 + 2*j + 5 + (-2*j - 4 + 4)*(-2 - 6 + 5))*(3*j - 17*j - 7*j + (2*j - j + j)*(1 + 0 + 0)).
-152*j**2
Expand (4*c + 2*c - 5*c + (0*c - 2*c + 4*c)*(-4 + 5 - 2) + (3 + 1 - 2)*(3*c + c - 5*c))*(-3*c + 4*c - 10*c)*(-9*c**2 + 4*c**3 + 9*c**2).
108*c**5
Expand -2*y**2 - 2*y**2 + 0*y**2 + (-y + y + 4*y)*(-2*y - y + 2*y).
-8*y**2
Expand (2 + 0 - 1)*(3 - 2*t - 3)*(2 + 6*t - 3 - 2).
-12*t**2 + 6*t
Expand 124*i**5 - 122*i**5 + i**2 + 1 + 1 + (6*i**3 + i**2 - i**2)*(-2*i**2 + 2*i**2 - 4*i**2).
-22*i**5 + i**2 + 2
Expand (0 + 1 + 3)*(-17*u**3 - 9*u**4 + 41*u**3 - 11*u**3).
-36*u**4 + 52*u**3
Expand (-5 + 4 + 3)*(-2 + 3 - 3)*(-2*u + 2*u + u + (-u + 0*u - 2*u)*((3 + 2 - 3)*(-2 + 4 - 1) - 1 + 4 - 4)).
8*u
Expand (1 + 3 - 3)*(-52 + 27 + 19)*(-a**2 + 2*a**2 - 2*a**2 + (1 - 1 + 2*a**2)*(-4 + 1 + 1) + 1 - 1 - 2*a**2 - 2*a**2 - a + a).
54*a**2
Expand -829 + 180*d**4 + 829 + (4 - 4 - 2*d**4)*(-4 + 2 + 1).
182*d**4
Expand 19*d**3 + 34*d**2 - 34*d**2 + (-3*d**2 + 0*d**2 + 2*d**2)*(1 - d - 1) - 2*d**3 + 0*d**3 + 3*d**3 - 4*d**3 - 3*d**2 + 3*d**2.
17*d**3
Expand (-j + 4*j - 2*j)*(-5*j**4 + 5*j**4 + j**4) + 25 - j**3 + 3*j**3 + 146*j**5 - 145*j**5.
2*j**5 + 2*j**3 + 25
Expand (-25*l + l - 15*l)*(-l**2 + 0*l**2 - 2*l**2) - 3 - l**3 + 3.
116*l**3
Expand (0*z - 2*z + 6*z)*(-16*z**3 - 12*z**2 + 3*z**2 + 12*z**2).
-64*z**4 + 12*z**3
Expand -7*c**5 - 3*c**5 + 7*c**5 + (5*c**5 + 3*c**5 - 3*c**5)*(0 + 0 + 2).
7*c**5
Expand (0*p**3 + 3*p**3 - 2*p**3)*((-3 - 1 + 6)*(-3 + 0 + 1) + 43 + 46 - 36).
49*p**3
Expand (6*c**2 + 3 - 3)*(c - c**3 - c + (6*c**3 - 2*c**3 - 2*c**3)*(-2 + 0 + 3) + (2*c**3 - 3*c**3 + 3*c**3)*(8 - 15 - 2)).
-102*c**5
Expand (-5*y + 5*y + 9*y**2)*(-6*y + 0*y + 4*y)*(-8*y + 9 - 9).
144*y**4
Expand (8*t - 2*t - 2*t + (0*t + t - 2*t)*(-5 + 3 + 1) - 2*t + 3*t + 0*t)*(-46*t + 63*t + 66*t)*(-t + t - t**2).
-498*t**4
Expand (-26*k**2 - 14*k**2 - 3*k**2)*(1 + 4 - 6) + 4*k**2 + 5*k**2 + 7*k**2.
59*k**2
Expand 3*i**4 - 3*i**4 + 3*i**5 + (-i**3 - i**4 + i**3)*(-2*i - 1 + 1) + 3*i**5 + 16*i**3 - 7*i**3 + i - 7*i**3.
8*i**5 + 2*i**3 + i
Expand (-2*s**2 + 2*s**2 - 2*s**2)*(3*s**3 - s**3 - s**3) + 19*s**5 + 1542 - 1542.
17*s**5
Expand (19*p**3 - 11*p**3 - 11*p**3)*(-2 - 3 + 6) + 0 + p**3 + 0 - 4*p + 4*p - 19*p**3.
-21*p**3
Expand (3*s - 5*s - 6*s)*(-10*s - 43*s + 27*s).
208*s**2
Expand (-4 + 1 + 5)*((223*y**2 - 57*y**2 - 19*y**2)*(-2*y + 0*y + y) + (2*y - y - 2*y)*(0*y + 0*y - 2*y**2)).
-290*y**3
Expand -c + 4 - 4 + 1 - 1 - 6*c + 0*c + 0*c + c + (-2*c - 1 + 1)*(0 + 0 + 1) - 8*c + 3*c + 3*c.
-10*c
Expand -2*y**5 + 3*y**5 - 2*y**5 + (-187 - 194 - 241*y + 382)*(-2*y**4 + 0*y**4 - y**4).
722*y**5 - 3*y**4
Expand (-21*u**4 - 1288 + 1288 + 2*u)*(u - 4*u + u).
42*u**5 - 4*u**2
Expand -2*h + 4*h + h - 4*h + 4*h - 3*h + (0*h + 6*h - 4*h)*(0 - 1 + 3) - h + 4*h - h - 1 - 2 - 3*h + h.
4*h - 3
Expand (63*a**2 + 59*a**2 + 2 - 120*a**2)*(-3*a + 4*a + a)*(-2 + 2 + 3*a**2).
12*a**5 + 12*a**3
Expand (-19*g - 2*g + 45*g - 2*g)*(15*g - 15*g + 2*g**3).
44*g**4
Expand (82 + 38 + 105)*(-2 + 3*h - 4*h + 3)*(-3 - 4 + 5).
450*h - 450
Expand ((1 + 2 + 1)*(-1 + 2 - 2) - 4 + 3 + 3)*(4*x**4 + 14*x**4 + 4*x**4 + (2*x**3 + 2*x - 2*x)*(3*x - 2*x - 2*x) + x**4 + x**3 - x**3).
-42*x**4
Expand (4*q**3 - 5*q**3 + 3*q**3)*(23 - 23 - 17*q + (0*q + 2*q - q)*(0 + 2 - 3) - 2*q + 2 - 2 + 4*q - 3*q - 3*q).
-44*q**4
Expand (265*u - 265*u - 52*u**2)*(2*u - u + 5*u)*(u + 3 - 3).
-312*u**4
Expand -x**5 + 3*x**5 - 4*x**5 - 1 + 2*x**5 + 1 + (-x**3 + x**4 + x**3)*(7*x + 46*x + 42*x).
95*x**5
Expand (4*b + b - b)*(-b - 57433*b**2 - 2*b**3 + 57433*b**2).
-8*b**4 - 4*b**2
Expand -3*s - 2*s + 3*s + (1 + 5 - 1)*(-1 - 5*s + 1).
-27*s
Expand -10*g + 10*g + 5*g**4 + (3*g**4 - 4*g**4 + 2*g**4)*(4 - 3 + 0) - 4*g**2 + 4*g**2 - 2*g**4 - 23*g**4 + 41*g**4 + 87*g**4 + 250*g**4.
359*g**4
Expand (46 + 4*u - 46)*(-3 - 1 - 2 + (-6 + 2 + 2)*(1 + 0 + 1) - 1 - 1 + 4) + (0*u + 2*u - u)*(-3 + 3 - 1).
-33*u
Expand (-2*a + 0 + 0)*(-4*a + 3*a + 4*a)*(2 + 3 - 7 + (-1 - 1 + 9)*(3 + 0 - 2)).
-30*a**2
Expand (-18 - 2 + 10)*(-3 - 2*d**3 + 3) - 4*d**3 + 2*d**3 - 4*d**3.
14*d**3
Expand (5 + 6 - 19)*(4 - 4 + 2)*(63*h + 45*h - 32*h).
-1216*h
Expand (-2*n + 4*n - 3*n)*(-340*n**3 + 893*n**3 - 304*n**3).
-249*n**4
Expand (-12*t + 420 - 5*t - 429)*(-3*t**2 + 4 - 4).
51*t**3 + 27*t**2
Expand (-2*f**2 - 4*f**2 + 5*f**2)*(7*f**2 + 21*f**2 - 10*f**2) + 1 + 2*f**4 - 2*f**3 - 1 + (3*f**2 - 5*f**2 + f**2)*(-f**2 - f**2 + 0*f**2) - 3 + 3 + 3*f**4.
-11*f**4 - 2*f**3
Expand -150*x - 35*x**2 + 150*x + (x + x + 0*x)*(-7*x - 1 + 1).
-49*x**2
Expand ((3 - 1 - 1)*(-4*w**2 + 2*w**2 + 4*w**2) - 8*w**2 - w**2 + 4*w**2)*(-13*w**3 + 9*w**3 - 11*w**3).
45*w**5
Expand -4*c**4 + 0*c**4 + 2*c**4 + (-4*c**2 + 7*c**2 - c**2)*(2*c**2 + 0*c**2 - 8*c**2) + (2*c + 3*c - 2*c)*(-2 - 2*c**3 + 2).
-20*c**4
Expand 37*g**2 - 4*g**4 - 37*g**2 + (-5*g**4 + 5*g**4 - 2*g**4)*(0 - 3 + 4) + 2*g**4 + 0*g**4 - 4*g**4.
-8*g**4
Expand (q - q**2 - q)*(-16*q**2 + 8*q**2 + 8*q**2 - 250*q**3).
250*q**5
Expand ((1 + 0 + 0)*(2 + 1 - 4) + 6 + 9 + 2)*(16*m**2 - 16*m**2 - 9*m**4) + m - 2*m**4 - m.
-146*m**4
Expand (4 - k**3 - 4)*(-251 + 667 + 706).
-1122*k**3
Expand (0 + 2*r + 0)*(4*r - 3*r**2 - 4*r) - 4 + 20 - r**3 - 6.
-7*r**3 + 10
Expand (2 - 1 + 0)*(-62*g**3 + 62*g**3 + 64*g**4).
64*g**4
Expand -1 + 1 + 25*i + 2*i - 4*i + i + 3 + i - 3 + (-1 - i + 1)*(-2 + 0 + 0) + 2*i - 5*i + 2*i + (2*i + 7*i - 3*i)*(-8 + 2 + 0).
-10*i
Expand (0 + 0 + 1 + (0 + 0 - 2)*(-1 + 4 - 2) - 2 - 2 + 2)*(-3 - 3 + 3)*(-3*m**2 - 5*m**2 - 2*m**2).
-90*m**2
Expand (2*y**2 - 2*y**2 - 2*y**2)*(-25*y + 59*y + 20*y)*(5*y**2 + y**2 - 4*y**2).
-216*y**5
Expand -68*z**2 + 162*z**2 - 84*z**2 + (z + 2 - 2)*(2*z - 5*z + z) - 3*z**2 - 4*z**2 + 0*z**2.
z**2
Expand (0*y**3 - y**3 + 4*y**3)*((5 - 3 + 2)*(-5*y + 13*y - y) + 1 + 2*y + 1 + 4).
90*y**4 + 18*y**3
Expand 25*d**4 - 22*d**4 + 25*d**4 + (-2*d**3 + 0*d**3 + 0*d**3)*(6*d - d - 3*d) + (d - 2*d**2 - d)*(-2*d**2 - 3*d**2 + 2*d**2).
30*d**4
Expand (3 - 3 - a)*(9 - 9 - 5)*(0 + 3*a + 0).
15*a**2
Expand h**3 - 7*h**3 - 7*h**3 + (2*h - 3*h + 3*h)*(0*h**2 + 2*h**2 - 3*h**2) + (-h**2 - h**2 + 3*h**2)*(h + 3*h + 0*h).
-11*h**3
Expand (-2*g**2 - 3*g + g + 0*g**2)*(-257 - 211*g + 257).
422*g**3 + 422*g**2
Expand (-2*q - 3*q + 0*q)*((-1 + 3 - 4)*(2*q + 2*q - 5*q) + (11*q - 4 + 4)*(1 + 15 + 3)).
-1055*q**2
Expand (42*b**2 - 4*b**2 + 3*b**2 - 2*b**3)*(-1 - 39*b - 2 + 55*b).
-32*b**4 + 662*b**3 - 123*b**2
Expand (0 + 2 - 1)*(3*i**3 - 6*i**3 + 0*i**3) + (1 - 2*i - 1)*(i**2 - 4 + 4) + 0*i**3 - i**3 + 0*i**3.
-6*i**3
Expand (-20072*v**2 - 482*v**3 + 20072*v**2)*(v - v + 2*v).
-964*v**4
Expand (-2 + y + 2)*((-2 + 5 - 1)*(y**3 - 3*y**3 + 0*y**3) + 3*y**3 - 2*y**3 - 2*y**3 + 82 - 16*y**3 - 82).
-21*y**4
Expand (19*a - 3*a - 53 - 14*a)*(2*a**2 + a**4 - 2*a**2).
2*a**5 - 53*a**4
Expand (5*r**4 + 0*r**4 - 3*r**4)*(3*r + 1 - 1) + 3 + r**5 - 3 + 684 - 3*r**4 - 684 + 2*r**5.
9*r**5 - 3*r**4
Expand -167*c - 99*c**3 + 170*c - 178*c**3 + (0*c**2 - 3*c**2 + 5*c**2)*(-c + 2*c - 2*c).
-279*c**3 + 3*c
Expand (3 + 0 - 1)*(0 + d + 0) + 12*d - 5 + 5 + (d + 3 - 3)*(-2 + 0 + 1) - 4*d + d + 2*d + 0*d - d + 4*d.
15*d
Ex
|
{
"pile_set_name": "DM Mathematics"
}
|
late (7 - 345/20) + 10.
-1/4
Evaluate (((-12)/(-60))/(28/(-40)))/2.
-1/7
Calculate 13 + -6*(-136)/(-72).
5/3
Evaluate ((-6)/10)/(3870/(-150) + 30).
-1/7
Evaluate (((-29)/3 - 1) + -2)/(402/(-1206)).
38
What is (4 + 216/(-48))*(-2)/(-7)*-2?
2/7
What is the value of ((-2)/(-2) - 2)*(85/20 + -4)?
-1/4
What is ((-120)/(-75) - -3)*-5?
-23
What is the value of (0 + (-95)/100 + 1)*8?
2/5
What is 3*(4/(-18) + 5644/612)?
27
Evaluate (4/16)/(1/(-4)) + (0 - -8).
7
1568/112 - (-228)/(-14)
-16/7
Evaluate ((-18)/(-20)*(-36)/81)/((-4)/(-280)).
-28
3/7*(36/14 - 3/(-7))
9/7
Calculate (16/(-6))/(19/57*-1).
8
Calculate (15 - 2)/((-4 - -1)/3).
-13
Evaluate -4 + 1 - -2 - ((-7)/(-6) - 2).
-1/6
18/33 - (-1300)/(-1375)
-2/5
What is the value of 486/(-918)*(32/18)/(-4)?
4/17
Evaluate (16/110 - 1002/1837)*40.
-16
Evaluate 128/216*(225/(-100) - 6/(-4)).
-4/9
(-6*(-8)/(-6) + 3)/((-35)/98)
14
(-1 - (-4)/8)*(-76)/(-114)
-1/3
What is ((-11)/((-880)/36))/(1 - (-6)/(-15))?
3/4
What is (60 - (-832)/(-16))*1/(-9)?
-8/9
Evaluate 7 - ((-50 - -70) + -9 + 1) - -18.
13
What is (2/(-5))/((-1141)/(-105) - (10 + 0))?
-6/13
(-12 + 2 + (-240)/(-25))*10
-4
-1 + (-7)/(-8) + (11 - (-315)/(-168))
9
What is the value of (-410)/85 + 12 + -7?
3/17
What is -22 + -4 - 8442/(-335)?
-4/5
(-25060)/1432*(-4)/(-10)
-7
What is (-3)/((-51)/(-272)) + 9?
-7
Evaluate 28/(-80) - (-6)/840*-35.
-3/5
Calculate 79/(-158)*((-52)/20 - -1).
4/5
What is (-4 + 3)/(-12*(-8)/288)?
-3
27 + -34 - 1/(-45)*309
-2/15
What is ((-15)/6 - -4)/((288/16)/(-252))?
-21
Calculate (-57)/((-17043)/46) - 66*(-36)/104.
23
What is the value of (-197 - -195)*((-102)/50 + 3 - 1)?
2/25
Calculate (-1196)/(-13)*15/(-24)*(-2)/(-5).
-23
What is the value of -8*4/24 + (-56)/(-24) + 9?
10
(-474)/(-59) - (1554 - 1546)
2/59
What is (-43)/1333 - 1265/3069?
-4/9
What is 1/((-28)/(-176)) + (-548)/1918?
6
Calculate ((-8658)/(-312))/((-1)/(-20) - 24/30).
-37
Evaluate 2/(-1) + (3/51 - 536/(-136)).
2
Evaluate ((-360)/1260)/(51/(-63)).
6/17
96/(-55) + 498/415
-6/11
1/5 - (-1)/((-10)/12)
-1
0 + (-14 - -1)*1
-13
(-160)/70 - -4 - ((-18)/(-21))/(-3)
2
What is (16 + -19 + 7)/44?
1/11
What is -11*55/(-85)*-1 + 7?
-2/17
Calculate (199/199)/(-1*1).
-1
(108/81)/(5 + 42/(-9))
4
Calculate (4359/7265)/((-27)/(-20)).
4/9
Evaluate 18/14*7/(-4).
-9/4
((-105)/6 - -16)*(-6)/(-15)
-3/5
Evaluate (-294)/637 + 0*(2/(-3) - -1).
-6/13
What is (-4)/20 + (-253)/165*-6?
9
(18/294)/(6/7)*4
2/7
Calculate ((-91)/49)/(90/1575*(-7 - -2)).
13/2
(2*(-1)/24)/((-10)/(-435)) - -4
3/8
What is ((-4)/14)/((-34)/(-187)*(-8)/56)?
11
What is (4440/275 - 16)/((-14)/35)?
-4/11
Calculate (-13)/(-2) + (-48)/3264*34.
6
(((26/(-48))/13)/((-27)/(-81)))/(-3)
1/24
(-15)/(-26)*-2*(-85 + 72)
15
What is the value of (70/24)/((-1080)/648)?
-7/4
Evaluate (209 + -215)*3*32/36.
-16
What is the value of ((-72)/(-21))/(37/(11396/(-66)))?
-16
-2*(-5)/(-50)*((-188)/(-76) + -3)
2/19
((-340)/(-136))/(385/14)
1/11
Evaluate (-4)/(-64)*-4 - (-4 - 39/(-4)).
-6
Evaluate (((-18)/(-15))/((-108)/40))/((-16)/72).
2
Evaluate 138/12*2 - 36.
-13
What is 15 + (-90)/15 + 1?
10
What is 2/10 + ((-30)/25 - -2)?
1
What is -2 - (6 + (-8 - 8))?
8
(-1267)/408 + 2 + (-43596)/(-38752)
1/51
(288/18648)/(4/14)
2/37
What is the value of 1854/309*(-56)/12?
-28
What is the value of 0 + (5*(-8)/8 - (-18)/2)?
4
What is the value of (-103)/(-5) - (18655/(-325) - -58)?
20
What is the value of (-48405)/(-4610)*10/(-3)?
-35
Calculate 126/90*(-20)/(-24).
7/6
(3/(-33) + (-815)/110)/((-2)/4)
15
What is (-13)/3 + 11 + 38/(-19)?
14/3
What is the value of 17/((-272)/32)*(2 - 0)?
-4
Evaluate (-11)/(-99)*(-468)/338.
-2/13
((-2 + 0)/40)/(3156/11835)
-3/16
What is 23170/(-7944)*9/56 + (-1)/(-2)?
1/32
Calculate ((-1760)/(-110))/(160/(-24)).
-12/5
Calculate 294/(-160) - (-6)/15 - (-249)/166.
1/16
What is the value of (-4)/(-10)*(-303)/202?
-3/5
(-4)/5*(4 - 1/(-16)*-24)
-2
Calculate 32/10752*24 - (-194)/28.
7
What is (-11 - 1379/(-126))/((-10)/8 + 1)?
2/9
What is (-22)/(-2) + (-3193)/279?
-4/9
Calculate (-4)/((18/30 - 2) + 2).
-20/3
What is the value of (-1281)/(-549)*-6*1?
-14
(-5)/3 + 2 - 231/3276*4
2/39
Calculate (4/1050)/((-1701)/(-17010)) + 2/21.
2/15
Evaluate (2301/(-3068))/((-30)/(-8)).
-1/5
What is 1 - (-606)/30 - 216/180?
20
What is the value of 6*(-13 - 1344/(-104))?
-6/13
What is 8*(-3 - (4 + 130/(-16)))?
9
Evaluate 72/32*168/9*(-130)/195.
-28
Evaluate (-240)/(-6) - 16592/416.
3/26
Evaluate 9 + (-17 + 6)*1.
-2
Calculate (9 + -8)*-4 - (3 + -2).
-5
Evaluate -29*(-34)/2465 + (4/30)/(-1).
4/15
What is the value of (3876/(-408))/((-3)/6)?
19
What is (72/126)/((-72)/98*(-14)/4)?
2/9
Evaluate 360/(-7020) - (4/(-1092) + (-4)/(-24)).
-3/14
Evaluate (-204)/119*(-2)/(-4)*7.
-6
3/5 + 590/(-25) + 81 + -60
-2
(222 + -180)*(-16)/(-280)
12/5
What is the value of 0 + (-8)/30 - (-59904)/14040?
4
Calculate (496/(-868))/(2/14) + 11.
7
Evaluate (12 + -15)*3 - -11.
2
Evaluate ((-110)/968)/(29/116).
-5/11
What is (-24)/18*27/(-108)*87?
29
(-9 + (16 - 6) - 8) + 8
1
What is the value of (150/125)/(4 + (-6)/(-15))?
3/11
What is (2/102)/(3472/288 + -12)?
6/17
Evaluate (-726)/1210 - (-31)/85.
-4/17
What is (-190)/(-14) - (-31728)/9254?
17
Evaluate 102*4/294 + 42/1029.
10/7
What is the value of (-1)/(-2) + 10626/3864?
13/4
What is 2/(-12)*-3*32/216?
2/27
Calculate 1/(-1) + ((-84)/(-12) - 7).
-1
Evaluate (-293)/136245 + 8/(-124).
-1/15
Calculate (35/(-6) - 2) + (-25)/150.
-8
Evaluate (7/(-42)*1)/(-4*(-30)/(-144)).
1/5
What is the value of 155/35 - 12/126*-6?
5
What is (5 - 5) + ((-1)/(-8))/((-32)/(-256))?
1
((-24)/(-6) - 5)/((-19)/(-589)) - 5
-36
What is the value of 14/(-8) - 2064/(-192)?
9
Evaluate (-471)/(-93) - 5 - 5920/(-496).
12
Calculate (-148)/11 + 12/(-22).
-14
Evaluate ((-3)/39 - 0)/((-35)/(-70)).
-2/13
What is ((-448)/(-40) - 10)*(-45)/27?
-2
What is (36/(-12))/(-47 - -34)?
3/13
What is the value of -5*(-3)/30 - 30/(-4)?
8
(-4)/(-12) - 4489/201
-22
Evaluate (8 + (3 - -2) + -19)*(-4)/(-45).
-8/15
What is the value of (-1251)/(-417)*1/(-1)?
-3
What is (848/53)/32 + -2 + 7/(-2)?
-5
What is -17*((-10)/(-40))/((-68)/48) + 2?
5
What is the value of ((24/(-20))/((-80)/(-1400)))/1?
-21
What is (-42)/77 + 48/22*(-96)/(-252)?
2/7
What is the value of (-4)/(-18)*(-1260)/1680?
-1/6
What is the value of (56 + -2)/9 + 4/((-64)/90)?
3/8
11 - (14/(-1) - 416/(-32))
12
What is 352/(-16)*((-11)/(-2))/11?
-11
Evaluate (-1485)/(-330)*(3/9 + -1)*1.
-3
(3 - 5) + (4590/15)/(-18)
-19
What is the value of (-4875)/225*3/(-13)?
5
Calculate (2/14)/((-2)/(-46)) - (-5868 + 5873).
-12/7
Calculate ((-12896)/(-3627))/((-2)/(-9)).
16
(-12688)/854 - (-4)/(-4)*-13
-13/7
What is the value of -82*(-5)/(-76) - 10*(-1)/(-95)?
-11/2
Calculate 6/(-39)*((-153)/(-68))/((-9)/(-2)).
-1/13
(1089/14)/(-11) + (14 - (3 - -4))
-1/14
What is the value of (182/273)/(13/5 - 3)?
-5/3
Calculate (-210)/15 + 32/2 + (-14)/4.
-3/2
((-1)/(-3))/(1/(-6))
-2
What is ((-3)/153)/((7 - 9)*12/(-216))?
-3/17
(-4)/(-21) + 83104/82320
6/5
What is 9/(-405)*-15*(-1 - -4)?
1
Calculate 13/(-28) - 61/(3904/(-48)).
2/7
Evaluate 5810/490 + (-7)/(-49).
12
Evaluate 84/(-36) - ((-25)/(-15) - 3).
-1
What is the value of (0 - (-1)/2)*((-108)/12 + 7)?
-1
What is (-682)/124 + 22/4 - (-11 + -2)?
13
Calculate (25/(-20))/(((-260)/(-24))/((-48)/36)).
2/13
Evaluate (-36)/216*33/2.
-11/4
Calculate (-1434)/239 + 2*2 + (0 - 0).
-2
What is the value of (2/2)/(3/(-6) + (-3)/(-5))?
10
Evaluate 1/34*302/1 + 25 + -34.
-2/17
What is (-2)/(-90) + 124074/(-24705)?
-5
What is 40 + -21 + -23 - 76/(-22)?
-6/11
What is 172/9*-18*(-15)/(-720) - -8?
5/6
Evaluate (-7 + 290/40 - 0)*(-88)/(-2).
11
Calculate (-1 - 28/(-40))/(592/2220).
-9/8
Calculate (1 - 27/(-12) - 4) + 212/(-16).
-14
What is the value of (4/14)/((-664)/1743) + (-5)/(-12)?
-1/3
Evaluate ((-783)/27)/87*(-28)/(-21).
-4/9
Calculate (11/(77/(-6)))/((-10)/70*1).
6
Evaluate (36/12)/(19 + -22).
-1
Evaluate 2 - (270/25)/9 - (-16)/55.
12/11
What is (344/(-84) + 3 - -1)/(144/336)?
-2/9
(-861)/(-41) + ((-6)/(-1))/(-3 - -1)
18
Evaluate ((-19)/(-76))/((-11 + 16)*(-1)/8).
-2/5
-11 + 19 + -11 - (-11)/1
8
What is the value of -4*(((-135)/63)/3)/(2/7)?
10
2816/(-385) + 9 - (-9)/15
16/7
Calculate -2 + 0 + 1221/110 - 9.
1/10
What is ((-17)/6 + 3)/(0 + (-5)/(-4))?
2/15
(-65)/4 + ((-15)/20 - -1)
-16
(240/9)/8*33/5
22
What is -41
|
{
"pile_set_name": "DM Mathematics"
}
|
is prob of sequence sjs when three letters picked without replacement from {s: 6, j: 4}?
1/6
Four letters picked without replacement from nnmnnnmn. What is prob of sequence nmmn?
1/28
Calculate prob of sequence yyj when three letters picked without replacement from {j: 1, y: 2}.
1/3
Three letters picked without replacement from {t: 1, u: 1, k: 1, w: 1, l: 1}. Give prob of sequence kut.
1/60
What is prob of sequence rooo when four letters picked without replacement from ororrrrrrrrrrrrroorr?
16/4845
Calculate prob of sequence qxs when three letters picked without replacement from sgunuxsnnnnuqugqu.
1/1020
What is prob of sequence ii when two letters picked without replacement from iiioioiroidr?
5/22
Four letters picked without replacement from llmlmllmmlmlmlllmmm. What is prob of sequence lmlm?
45/646
Four letters picked without replacement from {h: 1, e: 1, u: 1, q: 4, y: 1}. What is prob of sequence qhqe?
1/140
Four letters picked without replacement from yyxyxxxyyyxy. Give prob of sequence yyxx.
7/99
Three letters picked without replacement from {t: 2, l: 2, o: 1, x: 2, f: 1, q: 10}. What is prob of sequence tqo?
5/1224
Two letters picked without replacement from {v: 2, k: 6, n: 11}. Give prob of sequence kv.
2/57
Two letters picked without replacement from {i: 6, k: 2, u: 5, p: 3, l: 1}. What is prob of sequence kp?
3/136
Two letters picked without replacement from nqnnanneneqn. Give prob of sequence en.
7/66
Two letters picked without replacement from ybybbybbbbybby. Give prob of sequence by.
45/182
Calculate prob of sequence ynny when four letters picked without replacement from yyyyyyyyyyyyyyynnyy.
1/171
Three letters picked without replacement from {q: 3, d: 2}. Give prob of sequence qqd.
1/5
Four letters picked without replacement from hvvvhvh. Give prob of sequence hhhv.
1/35
Four letters picked without replacement from {g: 4, j: 3, l: 1, y: 2}. What is prob of sequence gjjl?
1/210
Calculate prob of sequence sdoo when four letters picked without replacement from {o: 1, h: 2, x: 1, s: 1, t: 1, d: 1}.
0
Three letters picked without replacement from tdjdwtwdd. Give prob of sequence dwd.
1/21
Two letters picked without replacement from qohq. Give prob of sequence qq.
1/6
Three letters picked without replacement from {m: 5, h: 5, t: 1}. What is prob of sequence hht?
2/99
Two letters picked without replacement from fggggfggfg. Give prob of sequence gf.
7/30
Two letters picked without replacement from npnn. What is prob of sequence pn?
1/4
Two letters picked without replacement from opobbbboobbbbobpo. What is prob of sequence pb?
9/136
Calculate prob of sequence bulr when four letters picked without replacement from {r: 3, u: 3, l: 4, b: 10}.
1/323
Two letters picked without replacement from ckhcmhhhcckhh. What is prob of sequence mk?
1/78
Calculate prob of sequence ai when two letters picked without replacement from {n: 2, f: 1, r: 3, i: 4, a: 7}.
7/68
Calculate prob of sequence waw when three letters picked without replacement from wwwawwwwwwwwwawwww.
5/51
Two letters picked without replacement from {a: 3, z: 4}. Give prob of sequence az.
2/7
Four letters picked without replacement from {g: 3, m: 7}. What is prob of sequence gmgm?
1/20
Two letters picked without replacement from vvgvvvgviivvgijwvjl. What is prob of sequence lw?
1/342
Three letters picked without replacement from {j: 2, c: 1, t: 7, y: 3, u: 1}. What is prob of sequence uct?
1/312
What is prob of sequence btt when three letters picked without replacement from {a: 1, t: 4, b: 2, j: 4}?
4/165
What is prob of sequence ir when two letters picked without replacement from wwhwrwrhwiwww?
1/78
What is prob of sequence xtqt when four letters picked without replacement from tqttttqqxq?
1/63
Calculate prob of sequence wwe when three letters picked without replacement from eeewew.
1/15
What is prob of sequence xhhw when four letters picked without replacement from {w: 7, x: 4, h: 4}?
2/195
Three letters picked without replacement from jyvgm. Give prob of sequence jgy.
1/60
What is prob of sequence yi when two letters picked without replacement from {f: 1, t: 2, b: 2, y: 5, s: 2, i: 1}?
5/156
Three letters picked without replacement from {g: 2, s: 4, h: 1}. What is prob of sequence hgs?
4/105
Three letters picked without replacement from fjfbfbbffbfbfbbj. Give prob of sequence jjf.
1/240
Two letters picked without replacement from {j: 2, h: 1, b: 2, k: 1, a: 1}. Give prob of sequence ah.
1/42
Calculate prob of sequence brbr when four letters picked without replacement from {b: 3, r: 9}.
2/55
What is prob of sequence fff when three letters picked without replacement from fppffff?
2/7
Four letters picked without replacement from cxxccccccxrxubuc. Give prob of sequence cucb.
1/390
Three letters picked without replacement from {g: 3, f: 5, s: 1, d: 7, y: 3}. What is prob of sequence dfs?
35/5814
Two letters picked without replacement from aoppouau. What is prob of sequence po?
1/14
Two letters picked without replacement from {g: 1, n: 14}. What is prob of sequence ng?
1/15
What is prob of sequence aaa when three letters picked without replacement from aaaaaaawawaawaww?
33/112
Two letters picked without replacement from pwwoqmum. What is prob of sequence om?
1/28
Three letters picked without replacement from {x: 1, k: 1, h: 1, u: 1, z: 1}. What is prob of sequence hkz?
1/60
What is prob of sequence fgg when three letters picked without replacement from ffgfgg?
3/20
Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjj.
1
Four letters picked without replacement from acxeeeecexaea. What is prob of sequence aaea?
3/1430
What is prob of sequence db when two letters picked without replacement from pdpibdvphddh?
1/33
Four letters picked without replacement from nqbqnhfvqfhq. Give prob of sequence bqhf.
2/1485
Calculate prob of sequence jrtn when four letters picked without replacement from snrrrrrjjtntvnj.
1/364
Calculate prob of sequence uzs when three letters picked without replacement from wwwzznswzzuzuwww.
1/336
Two letters picked without replacement from dpddpp. What is prob of sequence pd?
3/10
Calculate prob of sequence aroo when four letters picked without replacement from {v: 3, w: 1, o: 3, a: 1, r: 5}.
1/572
What is prob of sequence jjjo when four letters picked without replacement from {i: 1, j: 3, o: 2, s: 10}?
1/3640
Four letters picked without replacement from {e: 1, t: 2, n: 4, l: 3}. What is prob of sequence ltel?
1/420
What is prob of sequence lj when two letters picked without replacement from jclljlllyejl?
3/22
What is prob of sequence qqqq when four letters picked without replacement from {q: 10}?
1
Two letters picked without replacement from gbbbgbg. Give prob of sequence gb.
2/7
Calculate prob of sequence kvg when three letters picked without replacement from pggzkvz.
1/105
What is prob of sequence fhfe when four letters picked without replacement from {e: 4, f: 2, h: 4}?
2/315
Four letters picked without replacement from nmnmxy. What is prob of sequence nymn?
1/90
Calculate prob of sequence jl when two letters picked without replacement from {j: 2, o: 2, l: 1}.
1/10
Calculate prob of sequence mhvv when four letters picked without replacement from {h: 1, v: 11, m: 5}.
55/5712
Two letters picked without replacement from {q: 2, n: 3, f: 1, e: 8, z: 5}. Give prob of sequence qn.
1/57
Four letters picked without replacement from {l: 3, o: 1, i: 5, f: 4}. What is prob of sequence olfl?
1/715
Calculate prob of sequence te when two letters picked without replacement from {t: 3, e: 1, i: 1}.
3/20
Calculate prob of sequence qgg when three letters picked without replacement from {g: 7, q: 5}.
7/44
Two letters picked without replacement from xxzxxzzxxx. Give prob of sequence xz.
7/30
What is prob of sequence rzzp when four letters picked without replacement from {z: 9, y: 4, t: 2, p: 3, r: 1}?
3/1292
Three letters picked without replacement from nnonccgzjjzngzj. Give prob of sequence jzg.
3/455
What is prob of sequence ggg when three letters picked without replacement from gggggggggg?
1
Three letters picked without replacement from yaratiw. Give prob of sequence wia.
1/105
Calculate prob of sequence rtt when three letters picked without replacement
|
{
"pile_set_name": "DM Mathematics"
}
|
493.
3, 73, 3847
What are the prime factors of 34381?
34381
List the prime factors of 8037506.
2, 4018753
List the prime factors of 174408.
2, 3, 13, 43
List the prime factors of 51053.
19, 2687
List the prime factors of 270452.
2, 7, 13, 743
What are the prime factors of 1286435?
5, 257287
What are the prime factors of 338553?
3, 12539
What are the prime factors of 518353?
11, 47123
List the prime factors of 12388765.
5, 41, 223, 271
What are the prime factors of 139174?
2, 7, 9941
List the prime factors of 2328770.
2, 5, 232877
What are the prime factors of 20342793?
3, 6780931
List the prime factors of 413540.
2, 5, 23, 29, 31
What are the prime factors of 2176793?
137, 15889
What are the prime factors of 651483?
3, 7, 383
What are the prime factors of 203344?
2, 71, 179
List the prime factors of 941590.
2, 5, 13, 7243
What are the prime factors of 525419?
17, 31, 997
List the prime factors of 2676144.
2, 3, 127, 439
List the prime factors of 1463775.
3, 5, 29, 673
What are the prime factors of 41362825?
5, 7, 71, 3329
List the prime factors of 552939.
3, 149, 1237
List the prime factors of 10906317.
3, 1211813
What are the prime factors of 3645931?
47, 77573
What are the prime factors of 2829516?
2, 3, 235793
List the prime factors of 27397.
27397
What are the prime factors of 75787?
75787
List the prime factors of 6915249.
3, 11, 23, 3037
What are the prime factors of 600882?
2, 3, 17, 43, 137
What are the prime factors of 3092305?
5, 89, 6949
What are the prime factors of 1326727?
1326727
What are the prime factors of 236707?
236707
What are the prime factors of 15134864?
2, 945929
List the prime factors of 1726226.
2, 19, 45427
List the prime factors of 175268.
2, 43, 1019
List the prime factors of 2408312.
2, 301039
List the prime factors of 213933.
3, 29, 2459
List the prime factors of 12490094.
2, 6245047
List the prime factors of 458443.
359, 1277
What are the prime factors of 20437?
107, 191
List the prime factors of 41038.
2, 17, 71
What are the prime factors of 11198245?
5, 2239649
What are the prime factors of 2473531?
151, 16381
List the prime factors of 8387528.
2, 17, 61673
List the prime factors of 13038753.
3, 7, 13, 6823
List the prime factors of 31849661.
41, 53, 14657
What are the prime factors of 4282612?
2, 53, 20201
What are the prime factors of 3472498?
2, 139, 12491
What are the prime factors of 21239259?
3, 439, 16127
What are the prime factors of 1028993?
7, 17, 8647
What are the prime factors of 1083369?
3, 7, 23, 2243
List the prime factors of 525884.
2, 31, 4241
List the prime factors of 9135.
3, 5, 7, 29
List the prime factors of 600865.
5, 17, 7069
List the prime factors of 121490.
2, 5, 12149
What are the prime factors of 776275?
5, 31051
What are the prime factors of 1550333?
41, 37813
What are the prime factors of 1200543?
3, 139, 2879
What are the prime factors of 1121582?
2, 7, 11, 7283
List the prime factors of 1905647.
109, 17483
List the prime factors of 31999.
11, 2909
List the prime factors of 6390125.
5, 7, 67, 109
List the prime factors of 671689.
359, 1871
What are the prime factors of 168575?
5, 11, 613
List the prime factors of 11630726.
2, 43, 135241
What are the prime factors of 362197?
11, 19, 1733
List the prime factors of 1019632.
2, 63727
What are the prime factors of 4680831?
3, 17, 91781
List the prime factors of 256272.
2, 3, 19, 281
What are the prime factors of 1043141?
11, 37, 233
What are the prime factors of 77489?
77489
What are the prime factors of 174699?
3, 7, 47, 59
List the prime factors of 148325.
5, 17, 349
What are the prime factors of 343981?
11, 31271
List the prime factors of 57206.
2, 28603
List the prime factors of 795919.
73, 10903
What are the prime factors of 1571249?
29, 54181
List the prime factors of 330103.
330103
List the prime factors of 6944822.
2, 3472411
List the prime factors of 1842758.
2, 921379
What are the prime factors of 129909?
3, 13, 3331
List the prime factors of 2140905.
3, 5, 13, 10979
List the prime factors of 877984.
2, 27437
List the prime factors of 669188.
2, 13, 17, 757
List the prime factors of 5060559.
3, 7, 397, 607
List the prime factors of 668698.
2, 334349
What are the prime factors of 9098950?
2, 5, 7, 25997
What are the prime factors of 1759335?
3, 5, 53, 2213
List the prime factors of 1003395.
3, 5, 151, 443
List the prime factors of 2123789.
47, 73, 619
List the prime factors of 2528602.
2, 1264301
List the prime factors of 335977.
19, 17683
What are the prime factors of 20913197?
3257, 6421
List the prime factors of 4139915.
5, 13, 63691
What are the prime factors of 19919155?
5, 17, 234343
What are the prime factors of 157262?
2, 7, 47, 239
List the prime factors of 641924.
2, 160481
What are the prime factors of 2719311?
3, 7, 129491
What are the prime factors of 287473?
103, 2791
List the prime factors of 3079000.
2, 5, 3079
What are the prime factors of 1085635?
5, 179, 1213
What are the prime factors of 1631117?
1631117
List the prime factors of 9012142.
2, 17, 73, 3631
What are the prime factors of 552936?
2, 3, 23039
What are the prime factors of 624767?
11, 13, 17, 257
List the prime factors of 236165.
5, 149, 317
List the prime factors of 10960219.
10960219
What are the prime factors of 104820?
2, 3, 5, 1747
List the prime factors of 369023.
369023
List the prime factors of 3065153.
7, 13, 2591
List the prime factors of 3881268.
2, 3, 131, 823
What are the prime factors of 672023?
11, 199, 307
List the prime factors of 12247946.
2, 61, 100393
What are the prime factors of 4970947?
4970947
What are the prime factors of 3731286?
2, 3, 13, 47837
What are the prime factors of 12213393?
3, 367, 11093
What are the prime factors of 619603?
619603
What are the prime factors of 213209?
213209
What are the prime factors of 1163904?
2, 3, 7, 433
What are the prime factors of 224250?
2, 3, 5, 13, 23
What are the prime factors of 4486182?
2, 3, 233, 3209
List the prime factors of 5078171.
7, 43, 16871
What are the prime factors of 178750?
2, 5, 11, 13
List the prime factors of 891870.
2, 3, 5, 7, 31, 137
What are the prime factors of 8525935?
5, 11, 155017
What are the prime factors of 2245895?
5, 19, 47, 503
List the prime factors of 487588.
2, 79, 1543
List the prime factors of 555946.
2, 137, 2029
List the prime factors of 750972.
2, 3, 62581
List the prime factors of 156841.
156841
What are the prime factors of 1298864?
2, 7, 11597
What are the prime factors of 612585?
3, 5, 13613
What are the prime factors of 27642054?
2, 3, 11, 418819
What are the prime factors of 544181?
11, 61, 811
List the prime factors of 242398.
2, 13, 9323
What are the prime factors of 482295?
3, 5, 11, 37, 79
List the prime factors of 2231377.
313, 7129
What are the prime factors of 9227903?
1063, 8681
What are the prime factors of 24524?
2, 6131
List the prime factors of 1523082.
2, 3, 11, 47, 491
List the prime factors of 1014583.
379, 2677
List the prime factors of 331456.
2, 5179
What are the prime factors of 4393227?
3, 31, 97, 487
List the prime factors of 21324776.
2, 11, 31, 7817
List the prime factors of 1540574.
2, 7, 17, 6473
List the prime factors of 4654719.
3, 17, 10141
List the prime factors of 454926.
2, 3, 75821
List the prime factors of 5842944.
2, 3, 317
List the prime factors of 364879.
364879
What are the prime factors of 529500?
2, 3, 5, 353
List the prime factors of 226885.
5, 45377
What are the prime factors of 212731?
199, 1069
List the prime factors of 239142.
2, 3, 39857
List the prime factors of 540869.
7, 77267
What are the prime factors of 10351263?
3, 13, 265417
What are the prime factors of 542593?
23, 31, 761
What are the prime factors of 897300?
2, 3, 5, 997
What are the prime factors of 1515462?
2, 3, 13, 19429
What are the prime factors of 1129493?
19, 59447
What are the prime factors of 2423403?
3, 293, 919
List the prime factors of 808765.
5, 161753
What are the prime factors of 544312?
2, 19, 3581
What are the prime factors of 7882736?
2, 492671
List the prime factors of 96796.
2, 7, 3457
List the prime factors of 365675.
5, 14627
What are the prime factors of 681994?
2, 41, 8317
List the prime factors of 324653.
7, 19, 2441
List the prime factors of 3287269.
79, 41611
List the prime factors of 641128.
2, 80
|
{
"pile_set_name": "DM Mathematics"
}
|
31 prime?
True
Is 776249 composite?
False
Is 381577517 prime?
True
Is 29327 a prime number?
True
Is 787537621 a composite number?
True
Is 482269 prime?
False
Is 33377657 a prime number?
False
Is 3932873 a composite number?
True
Is 9366671 composite?
False
Is 6271511 a prime number?
False
Is 3025955 prime?
False
Is 11237351 a composite number?
False
Is 1256837 composite?
False
Is 79333691 a composite number?
True
Is 8430329 a composite number?
True
Is 5741867 a prime number?
False
Is 20549297 a composite number?
False
Is 2059697 a prime number?
True
Is 523013 a composite number?
True
Is 15103861 composite?
True
Is 629483 a prime number?
True
Is 935821 prime?
False
Is 1810117 composite?
True
Is 97393651 composite?
False
Is 88771 composite?
False
Is 1000757 composite?
True
Is 6480163 a composite number?
False
Is 11900233 composite?
True
Is 6345841 prime?
False
Is 10942433 a prime number?
False
Is 32222681 a composite number?
False
Is 635258887 composite?
False
Is 170084674 prime?
False
Is 2084497 a prime number?
False
Is 1178071 a prime number?
False
Is 160358938 a prime number?
False
Is 7131349 a composite number?
False
Is 348317 prime?
False
Is 5671461 composite?
True
Is 16817 composite?
True
Is 80790067 a prime number?
True
Is 12457433 prime?
False
Is 121325441 a prime number?
False
Is 7110619 composite?
False
Is 20579513 a composite number?
False
Is 41934517 a prime number?
False
Is 213874939 prime?
True
Is 86498257 a composite number?
True
Is 59892211 a composite number?
False
Is 4475747 a composite number?
False
Is 345744089 a composite number?
False
Is 5054047 a composite number?
False
Is 129603757 composite?
False
Is 18455773 composite?
True
Is 8365937 a composite number?
True
Is 3411349 a composite number?
False
Is 6966709 a composite number?
True
Is 278863943 composite?
False
Is 18390661 prime?
True
Is 34264379 a composite number?
False
Is 634529791 prime?
False
Is 6897481 prime?
False
Is 4349023 prime?
False
Is 227606969 a prime number?
True
Is 119820499 composite?
True
Is 39312709 composite?
False
Is 55563311 a composite number?
False
Is 97478621 a composite number?
True
Is 108151657 a prime number?
True
Is 851 a composite number?
True
Is 271791803 a prime number?
True
Is 310223 prime?
True
Is 16996531 a composite number?
False
Is 10040343 a prime number?
False
Is 11517521 prime?
False
Is 56227357 composite?
True
Is 3796997 prime?
True
Is 13789663 a prime number?
True
Is 3074269 composite?
True
Is 428343199 prime?
True
Is 61067319 composite?
True
Is 326286517 prime?
True
Is 79974679 a composite number?
True
Is 11351091 a composite number?
True
Is 84761977 composite?
False
Is 1420409831 a prime number?
True
Is 5229985 prime?
False
Is 39859609 prime?
True
Is 803624099 prime?
True
Is 19451903 a composite number?
False
Is 6655433 a prime number?
False
Is 1862953 a prime number?
True
Is 7221649 composite?
False
Is 20361023 a composite number?
True
Is 11271893 prime?
True
Is 121247161 a composite number?
True
Is 1859255 prime?
False
Is 7430359 composite?
True
Is 1195097 a composite number?
True
Is 30471341 composite?
False
Is 319673 a prime number?
True
Is 588206 prime?
False
Is 12739511 a composite number?
True
Is 1465987 a prime number?
True
Is 17896117 composite?
False
Is 5607361 a prime number?
True
Is 178216459 composite?
False
Is 780671 a prime number?
True
Is 27145099 composite?
False
Is 117348407 a composite number?
True
Is 15322409 prime?
False
Is 8549615 composite?
True
Is 102964717 a composite number?
True
Is 11918215 prime?
False
Is 1193081 a prime number?
True
Is 3503699 prime?
True
Is 3300097 composite?
False
Is 1451321 a composite number?
False
Is 142336237 composite?
True
Is 2176543 a composite number?
False
Is 3406099 a composite number?
False
Is 6810877 composite?
False
Is 2183417 a composite number?
False
Is 24005591 a composite number?
True
Is 1390751 composite?
True
Is 5581 composite?
False
Is 139509919 a composite number?
False
Is 104076619 a composite number?
False
Is 2521733 a prime number?
True
Is 6418967 a prime number?
True
Is 61020353 prime?
False
Is 2776017 prime?
False
Is 3291419 a prime number?
False
Is 5420269 composite?
True
Is 31294058 a composite number?
True
Is 7745995 prime?
False
Is 26463881 composite?
False
Is 5227017 a prime number?
False
Is 3398477 a composite number?
False
Is 19992407 prime?
True
Is 3885949 prime?
False
Is 10874047 a composite number?
False
Is 144313319 a prime number?
True
Is 65147131 composite?
True
Is 346783637 composite?
False
Is 5771773 composite?
True
Is 4655623 prime?
False
Is 12311987 a composite number?
True
Is 17059079 a prime number?
False
Is 11340491 prime?
True
Is 1261061 prime?
False
Is 11003809 composite?
False
Is 168290321 a composite number?
False
Is 1054505 a prime number?
False
Is 281661 prime?
False
Is 20422309 a prime number?
True
Is 6759397 a composite number?
False
Is 102421573 a composite number?
False
Is 402153319 composite?
False
Is 350891 a composite number?
False
Is 76886641 a prime number?
False
Is 255556621 prime?
True
Is 1040279 prime?
False
Is 4252411 composite?
True
Is 1131985 composite?
True
Is 72737 a prime number?
False
Is 1187798 composite?
True
Is 62709871 prime?
False
Is 138093293 a prime number?
False
Is 10192529 a prime number?
False
Is 37255703 prime?
True
Is 11587559 a prime number?
False
Is 19303961 a composite number?
False
Is 31454513 prime?
True
Is 2694817 a composite number?
True
Is 122787677 a prime number?
True
Is 42540599 composite?
True
Is 995903 a composite number?
False
Is 53176261 prime?
True
Is 351829 a composite number?
False
Is 12262247 a prime number?
False
Is 190562783 composite?
False
Is 130219 a prime number?
False
Is 23800811 a prime number?
False
Is 331607119 prime?
True
Is 834023 composite?
False
Is 309521 a composite number?
False
Is 3965513 a composite number?
True
Is 443613907 a composite number?
True
Is 63158239 a composite number?
False
Is 23304713 composite?
False
Is 931153 composite?
False
Is 32829739 prime?
False
Is 18487141 composite?
True
Is 267714199 a composite number?
True
Is 48940007 a composite number?
False
Is 30086657 composite?
False
Is 11194991 a composite number?
True
Is 1283473 a prime number?
True
Is 32780983 a composite number?
True
Is 324788155 composite?
True
Is 7864667 a composite number?
True
Is 137163331 a prime number?
False
Is 2800817 a prime number?
False
Is 43009487 prime?
True
Is 27294781 prime?
True
Is 8797093 a prime number?
False
Is 107771 composite?
True
Is 22201163 a composite number?
True
Is 32980567 composite?
False
Is 372605 prime?
False
Is 5710867 prime?
False
Is 1462417 a prime number?
False
Is 21178705 a composite number?
True
Is 378398 prime?
False
Is 3648833 prime?
True
Is 7412033 a composite number?
True
Is 882769 a composite number?
True
Is 21311515 prime?
False
Is 67252489 prime?
True
Is 108675689 composite?
False
Is 31956167 prime?
True
Is 80570213 prime?
True
Is 125052743 a prime number?
False
Is 51552799 composite?
True
Is 452113 prime?
False
Is 15388501 a composite number?
False
Is 2642782 prime?
False
Is 1562347 a composite number?
False
Is 6482479 composite?
False
Is 2965199 a prime number?
True
Is 3049039 a prime number?
False
Is 622684741 prime?
False
Is 650759 a composite number?
False
Is 86399 composite?
False
Is 1915877 a prime number?
False
Is 380934877 a prime number?
True
Is 41566121 prime?
True
Is 21417659 a prime number?
True
Is 24007751 a composite number?
False
Is 8436937 a composite number?
False
Is 75525211 composite?
False
Is 418163063 composite?
True
Is 1677649 prime?
False
Is 4819279 composite?
True
Is 165877 prime?
True
Is 156056378 a composite number?
True
Is 1238267323 a composite number?
False
Is 30349993 composite?
False
Is 1287239177 a composite number?
True
Is 388499 a composite number?
False
Is 10997503 prime?
False
Is 104389799 prime?
True
Is 385482569 a prime number?
True
Is 540594559 a prime number?
True
Is 317081797 a prime number?
True
Is 18806429 a prime number?
False
Is 59441 a composite number?
False
Is 9197053 composite?
True
Is 1254269 prime?
True
Is 47750957 composite?
False
Is 210416477 prime?
False
Is 119870381 prime?
True
Is 451472299 a prime number?
True
Is 14412433 a prime number?
False
Is 4441387 a composite number?
Fa
|
{
"pile_set_name": "DM Mathematics"
}
|
e d*j = 2 + 1 for j.
1
Let r(y) be the second derivative of -y**3/3 + y**2 - y. Let a be r(-4). Suppose 2*t - 25*c + 26*c - 5 = 0, 0 = -2*t + 2*c + 2. Solve 0*z = t*z - a for z.
5
Let k be (30/(-25))/((-2)/15). Suppose -k = -2*f + 3. Let r be (-4)/(-12)*2*f. Solve 5*o + r + 16 = 0 for o.
-4
Let y = 91 - 82. Suppose -3*d - 3 = 3*g - 24, 3*d - y = g. Solve j + g = 8 for j.
5
Let l(m) = -m - 10. Let c be l(-13). Suppose 7*q - c*q = x + 80, 0 = 3*x. Solve -3*o - o = -q for o.
5
Suppose 3*u = -95*l + 96*l + 1, -3*l + 4*u = -7. Solve l = 4*f - 3*f for f.
5
Suppose 4*j - 5 = -q + 6, -5*j = 5*q - 10. Let r be (2/(-3)*q)/(8/12). Solve 0 = 5*k - 19 - r for k.
4
Suppose -h = -3*h + 74. Let u = -33 + h. Solve m - 9 = -u for m.
5
Let w(d) = -d - 1 - 2*d**2 - 2*d**3 + 0 - 5*d**3 - d. Let k be w(-1). Let h be 62/93*(6 - 0) - 2. Solve h*u = k*u for u.
0
Let v be ((-6)/4)/(3/6). Let o(h) = -h**3 + 21*h**2 + 23*h - 47. Let m be o(22). Let k be (-1)/v + m/(-15). Solve b - k*b = -2 for b.
2
Let w = 174 - 167. Let s(i) = i**3 - 10*i**2 + 22*i + 4. Let t be s(w). Solve 1 = 4*d - t for d.
3
Let o be (65/25)/(12/60). Solve -o = -3*h - 4 for h.
3
Suppose -a + 0*a + 2 = 0. Suppose 0*f = -4*f - 20, 0 = s - a*f - 12. Solve -22 = 5*p - s for p.
-4
Suppose -5*t + 9 + 16 = 0. Let b(i) = -i. Let v be b(t). Let d be (-9)/45 + (-6)/v. Solve q + 0 = -d for q.
-1
Suppose -4*f + 4*f = -27*f. Solve f = -3*w + 3 for w.
1
Let q(x) = -x**3 - 29*x**2 - 3*x - 32. Let s be q(-29). Solve s = 32*l - 21*l for l.
5
Suppose -4*y + 5 = -9*y, 0 = -3*b - 5*y + 103. Let u be (-6)/(-15) - b/(-10). Suppose 4*f - 16 = -2*s, u*s - 2*f - 14 = -4*f. Solve h = s*h + 1 for h.
-1
Suppose 0 = -9*x + 30 - 111. Let d(g) = g**3 + 8*g**2 - 8*g + 13. Let k be d(x). Solve -2*h + 6*h + k = 0 for h.
-1
Let v = -25 - -30. Let y(d) = d**3 - 2*d**2 + d + 1. Let r be y(3). Suppose -4*j - 14 = -5*c - 0*c, 4*c = 5*j + r. Solve v*a + 6 = c*a for a.
-2
Suppose -25 = -3*g - 2*g. Suppose -g = c, c = -5*o + 2*c + 30. Solve -k = -o*k - 20 for k.
-5
Let g(t) = 3*t + 9. Let x(l) = 4*l + 8. Let u(h) = -6*g(h) + 4*x(h). Let a be u(-16). Let k be (-12)/(-9) + a/15. Solve -2*y + k = -2 for y.
2
Let f(x) = -x**3 - 17*x**2 - 19*x - 21. Let z be f(-16). Solve a + 23 = z for a.
4
Let w(l) be the third derivative of -l**6/120 + 7*l**5/60 + 7*l**4/24 + 4*l**3/3 + 4*l**2. Let d be w(8). Solve -n - 2 - 2 = d for n.
-4
Let s(o) = -o**2 + 8*o - 10*o - 9 + 16*o. Let j be s(13). Solve -j*b = -2*b for b.
0
Suppose 2*h - 107 = -5*c, -66 = 11*c - 14*c - 3*h. Solve 4 + c = 5*l for l.
5
Suppose -7 = -29*h + 109. Solve -h = v - 0*v for v.
-4
Suppose -2*c = -7*c - 5. Let f be c*(-4 - -1 - -1). Solve -3*j - 13 - f = 0 for j.
-5
Suppose -3*n - 3 = 6, 3*n = -i - 15. Suppose 57 = 6*u - 9. Let k = u + i. Solve k*y + 8 - 3 = 0 for y.
-1
Let v(w) = w**2 - 24*w + 116. Let h be v(5). Solve 15 = -h*u + 18*u for u.
-5
Let f be 136/68 - (-1 + 3). Let x(g) = 2*g**3 - 2*g**2 + g - 2. Let b be x(2). Solve f = v - 3*v + b for v.
4
Let p = -23 - -35. Let i be ((-3)/2)/(p/(-32)). Solve -i*t + 1 = 9 for t.
-2
Let t be -4 - -2 - 15/(-10)*6. Solve -4*q + t*q - 6 = 0 for q.
2
Let z be (18/(-3))/((-3)/2). Suppose -4*q - 3*g = 2*g, 9 = 5*q + z*g. Suppose d - l + 2*l = -5, -l - 5 = q*d. Solve d = -3*x - x for x.
0
Let f = 260 - 255. Let l(h) = 4*h. Let a(c) = 5*c. Let w(s) = -3*a(s) + 4*l(s). Let t be w(f). Solve -t*r = -1 + 16 for r.
-3
Let c(v) = v**3 - 12*v**2 + 9*v + 24. Let p be c(11). Suppose 2*i - 2*d + 6 = 0, p*i + 0 = d - 1. Solve h = -i*h + 9 for h.
3
Suppose -k = 2*k + z - 35, -5*k = -2*z - 73. Let p = -26 + 28. Solve -3 + k = p*g for g.
5
Let a(q) = -20*q - 297. Let f be a(-15). Solve -f*d + 13*d - 50 = 0 for d.
5
Let h be 1*4 + -7 + 7. Suppose -3*p = 2*m - 31, -2*m + 88 = 3*m + h*p. Suppose -3*g = -3*a - 21, 4*g = a + 4*a + 32. Solve g*o = -o + m for o.
5
Suppose -155*d + 190*d = 2170. Solve 3*z - d = -74 for z.
-4
Let g = -13 + 15. Suppose -x + g*x = 5, -3*s - 2*x + 22 = 0. Solve s*k = 15 - 3 for k.
3
Let a(z) = -2*z + 6. Let f(o) = -6*o + 18. Let q(x) = 14*a(x) - 5*f(x). Let s(y) = y - 1. Let d be s(6). Let m be q(d). Solve m - 7 = k for k.
-3
Let x be (-456)/(-190)*(-5)/(-2). Solve -40 = -2*j - x*j for j.
5
Suppose -2*a = -h, -5*a = -3*h - 3 + 4. Suppose h*o - 6*o + 16 = 0. Solve -7*s + o*s = 12 for s.
-4
Suppose 0 = -14*h + 1320 - 116. Solve 0 = -h*r + 81*r + 15 for r.
3
Let w be (16/(-136))/((-6)/51). Solve -k = -2*k - w for k.
-1
Let k be 21/12 + 0 + 5/20. Let t = 8 - 4. Solve t*w = k*w - 4 for w.
-2
Let z be 7 - (-7 + 5 - -7). Let i = 0 + 5. Suppose 13 = t + 5*l - 7, -2*t + 25 = -i*l. Solve -3*x + t = z*x for x.
3
Suppose 105 = 3*b + 3*i, i - 100 = -3*b - i. Let l = -26 + b. Solve 0 = l*k - 8 for k.
2
Let z = -395 + 399. Solve -z*h - 2*h = -12 for h.
2
Let b(r) = -8*r + 5. Let k(m) = 17*m - 10. Let d(l) = -5*b(l) - 2*k(l). Suppose -3*t = -4*n - 3, 4*t - n = 8*t - 23. Let p be d(t). Solve p - 5 = 5*z for z.
4
Let w = 85 - 81. Solve 5*b + 9 = w for b.
-1
Let j = -3 + 15. Let s = j + -10. Let z(u) = 2*u**2 + 2*u. Let t be z(s). Solve 0 = 5*l - t - 13 for l.
5
Let z = -261 - -268. Solve z*k = -1 + 29 for k.
4
Let r(j) = -5*j + 16*j - 3*j + 6 + j**2. Let g be r(-11). Let p = g + -35. Solve 0 = p*s + s - 15 for s.
3
Let a be 855/30 - (1/2 - -1). Suppose 0 = -4*j + 8 - 32. Let m be (-104)/(-18) - j/a. Solve 0*y = 3*y + m for y.
-2
Let y = 7 + -3. Suppose -6*f + 56 = -2*f. Let s be (-2)/f - 748/(-238). Solve -7*t + y = -s*t for t.
1
Let l(g) = 7*g**2 - 3. Let q be l(1). Solve q*m = -0 - 20 for m.
-5
Let i = -28 - -31. Suppose 10*z - 14 = i*z. Solve z*l + 2*l = 4 for l.
1
Let r(l) = -l**3 + 9*l**2 - 16*l + 16. Let h be r(7). Suppose 2*d - 4 = 14. Solve -h*z = z - d for z.
3
Let v(r) = -6*r + 1. Let m be v(2). Let w = m + 14. Solve -w*i = -4 + 16 for i.
-4
Suppose -c = -9 + 1. Suppose -2*z + 4 = -3*b, b + b = -4*z + c. Solve -u + 3 = z for u.
1
Suppose -5*z = 2*r - 9, r + r = 4*z. Suppose z = 2*l - 1. Let d = 582 - 580. Solve 0 = d*y - l - 1 for y.
1
Let k be (-4)/2 - (3 + -5). Let t = -76 + 79. Suppose -3*q + 18 = -9. Solve k*b + q = t*b for b.
3
Let b = 241 + -235. Solve -2*n + b*n = 8 for n.
2
Suppose -2*g + 6*g - 12 = 0, -3*u + 3*g = -3. Let l be 1/(4*u/80). Solve -o + 8 = -l*o for o.
-2
Let l = 348 - 336. Let n(z) = 6*z + 4. Let j be n(-4). Let q be (-45)/25*j/l. Solve 0 = -u + q*u + 6 for u.
-3
Let u(f) = -22*f - 1. Let l be u(-3). Suppose -3*y - l = -8*y. Suppose 0 = -2*r + k + y, -25 = 4*k + k. Solve 7*s = r*s for s.
0
Let c(y) be the third derivative of y**4/8 - 7*y**3/6 - 3*y**2. Let u be c(5). Solve 2*w - 2 + u = 0 for w.
-3
Let b be 8/((-200)/15) + 56/10. Solve -1 + b = 4*m for m.
1
Suppose -20 = -3*d - d. Let v be -1*(-8 + 4 - -1). Solve -2*c = -v*c + d for c.
5
Suppose 0 = 11*q + 13 - 13. Let m = 4 + 0. Suppose 0 = -m*z - o - 0 + 6, 2 = 5*z + 4*o. Solve 5*f - z*f = q for f.
0
Suppose 3*u = 3*q - 48, -5*q - 3*u = u - 125. Solve -16*b = -q*b + 20 for b.
4
Suppose 9 - 226 = -7*f. Let a = -17 + f. Solve -2*s - 4 = -a for s.
5
Let w(i) = i**2 + i + 1. Let b(y) = y**3 - 6*y**2 - 5. Let p(t) = b(t) + w(t). Let h be p(5). Solve 4*d = 5*d - h for d.
1
Suppose -2*h = 0, -4*o + h = -o - 3. Suppose -4*g = -11 - o. Solve g*r + 3 = -6 for r.
-3
Suppose 2*q - 3 = q. Let u = 57 + -49. Solve -q*d + d - u = 0 for d.
-4
Let h be 1/((-8)/8)*0. Solve h + 10 = 5*m for m.
2
Suppose -2*s + 14 = -4. Suppose 6*g = 13*g + 42. Let k be (-44)/33*(-1 + 3/g). Solve -k*w - s = w for w.
-3
Let h be (-10)/75 - 908/(-60). Solve 18*i - 3 = h*i for i.
1
Let k = 408 + -417. Let y(z) = -2*z**2 + 2. Let s be y(-2). Let i = s - k. Solve i*p - p = -8 for p.
-4
Suppose p = 3*w + 17, -3*p - p = -2*w - 18. Suppose p*t = -3*t. Let u be t/(4*2/4). Solve u = -l - 0*l for l.
0
Let u(i) = -i**3 + 2*i**2 + 7*i + 10. Let d be u(4). Solve -d*r = 2*r for r.
0
Let c be (1/(-2))/((-8)/448). Suppose c = -4*r - q + 104, -4*q - 57 = -3*r. Solve -r = 3*g - 4 for g.
-5
Let b be -5*(-8 - (-5 + -2)). Let q = 21 - 5. Solve -b*o + 1 = q for o.
-3
Suppose -390*q = -405*q + 240. Solve 15*u = q*u + 4 for u.
-4
Suppose 20 = -3*l - l. Let x be -4 - -1 - (l + -13). Suppose 4*d = 7*d - x. Solve d*r + 16 = 1 for r.
-3
Suppose 5*i + 2*r - 17 = 0, -4*i - 4 = 4*r - 20. Solve t = -5 + i for t.
-2
Let p(t) = -6*t**2 + 165
|
{
"pile_set_name": "DM Mathematics"
}
|
k**3 with respect to k.
-12*k**2
Let n(z) be the second derivative of 0*z**5 - 2/15*z**6 + 0*z**3 - 5/12*z**4 + 0*z**2 + 0 + 13*z. What is the third derivative of n(k) wrt k?
-96*k
Let z(l) = -6*l**3 - 47*l**2 - 50*l + 2. Let m(d) = -d**3 - 2*d**2 - d. Let h(r) = 4*m(r) - z(r). What is the second derivative of h(c) wrt c?
12*c + 78
Let l(n) be the third derivative of -7*n**6/5 + 23*n**3/3 + 10*n**2 - 2*n. Find the first derivative of l(y) wrt y.
-504*y**2
Let q(y) be the second derivative of 2/3*y**3 - 3*y + 0 + 13*y**2. What is the first derivative of q(s) wrt s?
4
Differentiate 5*s**3 + 270 - 374*s**4 - 5*s**3 + 37 + 53 wrt s.
-1496*s**3
Let a(r) be the second derivative of -r**4/6 - r**3/2 - 4*r**2 - 2*r - 7. Find the first derivative of a(s) wrt s.
-4*s - 3
Let g(i) be the second derivative of -1/3*i**3 + 1 + 0*i**4 - 39/2*i**2 + 0*i**5 - 2/5*i**6 - i. Differentiate g(t) wrt t.
-48*t**3 - 2
Suppose -u + 0*c = -3*c + 4, -5*u - c + 12 = 0. Differentiate 21 - 3 - 19*o**3 - 8*o**3 + u*o**3 with respect to o.
-75*o**2
Let u(a) = 2*a**2 + a - 2. Let q(k) = -12*k**2 + 47*k + 331. Let h(m) = q(m) + 5*u(m). What is the derivative of h(v) wrt v?
-4*v + 52
Suppose -4*u - 6 + 42 = 0. Suppose -3*a + 4*x + 67 = -x, x = -a + u. Find the third derivative of -8*g**2 - a*g**5 + 7*g**5 + 0*g**2 wrt g.
-420*g**2
Let c(s) be the first derivative of 233*s**2 + 248*s + 147. What is the derivative of c(i) wrt i?
466
Let f be (4/(-8))/(2 + 13/(-6)). Let k(d) be the first derivative of 0*d**2 - 3 + 0*d**4 + 0*d**f + 4/5*d**5 - 5*d. Differentiate k(z) wrt z.
16*z**3
Let b(r) = 12*r**4 - 2*r**3 + 9*r**2 + 3*r + 2. Let a(w) = -w**4 + 1. Let z(n) = -2*a(n) + b(n). What is the third derivative of z(k) wrt k?
336*k - 12
Let o = -831 + 837. Let y(p) be the first derivative of 0*p + 0*p**2 + 0*p**4 + 0*p**5 + p**3 + 2 - 2/3*p**o. Find the third derivative of y(i) wrt i.
-240*i**2
Let n(j) = -25*j - 125. Let x be n(-5). Let y(g) be the second derivative of 0*g**2 + x - 6*g + 1/12*g**4 + 1/2*g**3. Find the second derivative of y(d) wrt d.
2
Let t(i) be the third derivative of i**6/24 + 19*i**5/60 + 233*i**4/24 + i**2 - 25. Find the second derivative of t(a) wrt a.
30*a + 38
Let t = -77 + 79. Differentiate -25*k - 6 + 24 + t - 7 wrt k.
-25
Let o(c) be the first derivative of 5*c**5 - c**2/2 - 21*c + 12. What is the first derivative of o(s) wrt s?
100*s**3 - 1
Let d(n) be the third derivative of -19*n**6/10 - 67*n**5/60 + 5*n**4/24 - 62*n**2 - 5*n. Find the third derivative of d(s) wrt s.
-1368
Let u(p) be the second derivative of p**8/14 - 9*p**7/14 + 33*p**4/4 + p**3/6 + 19*p - 2. What is the third derivative of u(x) wrt x?
480*x**3 - 1620*x**2
Let v(d) be the second derivative of 0*d**4 - 28*d + 0*d**3 + 27/2*d**2 + 0 + 21/20*d**5. Differentiate v(o) with respect to o.
63*o**2
Let k(j) = -4*j**2 + 25. Let p be k(0). Differentiate 28 + p - 25*l**3 - 79 + 38 with respect to l.
-75*l**2
Suppose 0 = -0*z - z + 4*g + 10, 0 = 6*z - 3*g - 60. Let u(c) be the first derivative of -4*c + z + 7/2*c**2. What is the derivative of u(j) wrt j?
7
Let q(p) be the third derivative of 43*p**7/42 - 247*p**4/24 + 8*p**2. Find the second derivative of q(i) wrt i.
2580*i**2
What is the derivative of -2*g**2 - 656 + 1234 + 14*g - 634 wrt g?
-4*g + 14
Let u be (-51)/(-9) + 4/(-6). Suppose 5*h - 2*x - 2*x - 30 = 0, -h - 4*x = -30. What is the second derivative of 2*w**4 - 2*w**4 + 2*w + h*w**5 - 12*w**u wrt w?
-40*w**3
Let s(g) be the first derivative of 22*g**2 - 27*g + 6. Let m(p) = 22*p - 13. Let f(d) = -5*m(d) + 3*s(d). What is the first derivative of f(u) wrt u?
22
Let b(a) = 2*a**2 - 6. Let x be b(2). What is the second derivative of 10*g**2 + 9*g + 3*g**x + g**2 wrt g?
28
What is the third derivative of -151*b**3 + 45*b - b**2 + b**4 - 4 + 45*b**3 + 4 + 220*b wrt b?
24*b - 636
Let u be 46/72 - 5/(135/6). Let l(m) be the second derivative of 0*m**3 - 5/2*m**2 + u*m**4 + 0 + 2*m. Differentiate l(j) wrt j.
10*j
Let u(a) = 3*a - 15. Let v be u(6). Differentiate -22 + 2*z**v + 0*z**3 + 9 wrt z.
6*z**2
Let c = -55 - -96. What is the second derivative of -23*s**4 + 13*s**4 - s**4 - c*s - 18*s**4 wrt s?
-348*s**2
Let l(o) = 3*o - 14. Let p be l(6). What is the third derivative of -8*w**4 + 4*w**3 - p*w**3 - w**2 + 10*w**2 wrt w?
-192*w
What is the second derivative of 174*u**5 - 216*u**5 - 103*u**5 + 285*u - 252*u**5 - 41*u**5 wrt u?
-8760*u**3
Let m(z) be the third derivative of -z**8/112 - 7*z**6/60 + 53*z**4/24 + 42*z**2 + 1. What is the second derivative of m(l) wrt l?
-60*l**3 - 84*l
Let l(b) be the second derivative of -3*b**8/14 - 9*b**5/10 - 629*b**4/12 + 256*b. Find the third derivative of l(y) wrt y.
-1440*y**3 - 108
Let q(p) be the second derivative of -2*p + 13/20*p**5 + 0 + 0*p**4 + 0*p**2 - 2/3*p**3. What is the second derivative of q(s) wrt s?
78*s
What is the third derivative of -42*j**5 - 128*j**2 - j**6 + 350*j**2 - 162*j**2 wrt j?
-120*j**3 - 2520*j**2
Suppose 11 + 17 = 4*n. What is the second derivative of 11*f**5 - n*f**5 + 4*f**5 - 17*f wrt f?
160*f**3
Let q(i) be the third derivative of 0*i**3 + 25*i**2 + 0 - 7/10*i**5 + 0*i**4 + 0*i**7 - 1/336*i**8 + 0*i + 0*i**6. Find the third derivative of q(l) wrt l.
-60*l**2
Let s be -1*8*2/(-4). Let y(b) = -b + 9. Let k be y(s). What is the second derivative of 7*i - 12*i**k - 3*i + 5*i + 3*i**5 wrt i?
-180*i**3
Let y(j) = j. Let i(k) = 4*k - 3. Let a(l) = i(l) - 3*y(l). Let w be a(10). What is the first derivative of w - p - 5 - 2*p wrt p?
-3
Let r = 102 - 95. Let j(v) = 14*v**2 - 23*v - 7. Let m(s) = 7*s**2 - 12*s - 4. Let a(t) = r*m(t) - 4*j(t). What is the second derivative of a(f) wrt f?
-14
Suppose 0 = -0*y - 4*y + 100. Let j = 31 - y. Find the third derivative of 29*z**6 + 6*z**2 + 6*z**2 - 27*z**j wrt z.
240*z**3
Let y(t) = 662*t**3 - 4*t**2 + 5*t + 1381. Let g(h) = 994*h**3 - 6*h**2 + 8*h + 2071. Let b(u) = -5*g(u) + 8*y(u). What is the first derivative of b(d) wrt d?
978*d**2 - 4*d
Suppose -9*v - 23*v = 5*v. Let m(h) be the first derivative of 4/5*h**5 + v*h - 5/3*h**3 + 0*h**2 + 6 + 0*h**4. Find the third derivative of m(a) wrt a.
96*a
Let r(i) be the third derivative of 13*i**5/120 + 7*i**4/12 - 5*i**3/6 - 15*i**2. Let h(k) be the first derivative of r(k). Differentiate h(d) wrt d.
13
Let p(t) = -3*t**3 - t**2 - 9*t. Let z(l) = l**2 + l. Suppose 3*d = -1 + 4, 0 = a + 5*d - 4. Let j(y) = a*z(y) - p(y). Find the second derivative of j(m) wrt m.
18*m
Let i(c) be the first derivative of 47*c**3/3 + c**2 - 14*c + 191. Differentiate i(b) wrt b.
94*b + 2
Let k(r) be the first derivative of -5*r**8/28 + 5*r**4/12 - 5*r - 7. Let i(q) be the first derivative of k(q). Find the third derivative of i(f) wrt f.
-1200*f**3
Let u(o) be the second derivative of 19*o**7/840 + 3*o**4/4 + 3*o**3 + 13*o. Let b(y) be the second derivative of u(y). Differentiate b(f) with respect to f.
57*f**2
Suppose 43 - 8 = 5*p. Suppose -14 = 2*i - 5*i - 4*v, 5*i + 4*v - 26 = 0. What is the first derivative of 5 - i + m**3 - 1 - p*m**3 wrt m?
-18*m**2
Let o be (8 - 1)/(-1*6/(-30)). Find the second derivative of 29*d**4 + o*d - 8*d**4 - 9*d**4 wrt d.
144*d**2
Suppose -16 = 14*q - 10*q. Let s be ((-72)/(-15))/(q/(-30)). What is the second derivative of s*v**3 + 6*v - 36*v**3 - 10*v**5 wrt v?
-200*v**3
Let r(z) be the third derivative of 7*z**6/24 + 7*z**5/12 + 4*z**2 + 7*z. Find the third derivative of r(k) wrt k.
210
Let c(v) = -10*v + 3*v**2 - 12*v**2 - v**3 - 3*v**2 + 14. Let w be c(-11). What is the second derivative of -11*z**w + 11*z**3 + 5*z + 2*z**4 wrt z?
24*z**2
What is the third derivative of 2*n**2 + 544*n**3 - 3*n**2 - 35*n + 3*n**6 - 545*n**3 wrt n?
360*n**3 - 6
What is the third derivative of 16*n**2 + 35*n**2 - 500*n**2 - 196*n**5 wrt n?
-11760*n**2
Let w(g) = 257*g**4 - 22*g**3 + 101*g - 15. Let a(x) = 129*x**4 - 12*x**3 + 51*x - 8. Let b(q) = 11*a(q) - 6*w(q). What is the second derivative of b(d) wrt d?
-1476*d**2
Let f be ((-9)/(-6))/((-10)/(-4) + -2). What is the second derivative of 2*o - f*o + 14*o**2 - 19*o wrt o?
28
What is the second derivative of -229*l - 4 + 4 + 24*l**3 - 140*l**3 - 42*l**3 wrt l?
-948*l
Let v(a) be the third derivative of 1/2*a**3 + 0*a**6 + 0*a**5 - 3/35*a**7 + 21*a**2 + 0 + 0*a + 3/8*a**4. Find the second deriva
|
{
"pile_set_name": "DM Mathematics"
}
|
r - 8. Let y be o(j). What is y rounded to the nearest 1000000?
6000000
Let x be 8/(-12) - 14999998/(-3)*-1. Round x to the nearest one million.
-5000000
Let v = -916234078.2 + 916233987.19999961. Let u = v + 91. What is u rounded to seven decimal places?
-0.0000004
Let x = -21.8 + 17. Round x to 0 decimal places.
-5
Let n = -35 - -34.83. Let k = -0.1 - n. Let q = -0.07048 + k. Round q to four decimal places.
-0.0005
Let u = 5.1 - 1.1. Let s = -14717.224 + 14713.2240005. Let b = u + s. Round b to six decimal places.
0.000001
Let z be 160/(-6)*2028/(-65). What is z rounded to the nearest 100?
800
Let s = -0.3 - -0.2868. What is s rounded to three dps?
-0.013
Let y be 13469499/(-12) - 2/(-8). Suppose -v - 755084 = v. Let r = y + v. What is r rounded to the nearest 1000000?
-2000000
Let w be 2/(-6) - 120002/(-6). What is w rounded to the nearest one hundred thousand?
0
Suppose -3*k + 3101 = 2*k - 4*g, g = -k + 622. Suppose -p - 57 = 4122. Let b = k - p. Round b to the nearest one thousand.
5000
Let d = 54 - 32. Let p = 39 - d. Let n = p + -16.9993. Round n to 3 dps.
0.001
Let h = 11716.108 + -11743. Let g = h + 27. Let x = g - 0.16. Round x to 2 decimal places.
-0.05
Let d = -37.41 + 0.41. Let q = -36.99979 - d. Round q to four dps.
0.0002
Suppose -b - 3*b = 0. Suppose b = -4*c - c + 15. Suppose 4*v + 5*k - 11915 = 3*v, -k = c*v - 35703. What is v rounded to the nearest 1000?
12000
Let t = 15.07 + -21.8. Let i = t - -42.63. Let x = 35.90181 - i. Round x to 4 dps.
0.0018
Let u = -2.48 + -0.86. What is u rounded to 1 decimal place?
-3.3
Suppose -u - 8370 + 75370 = 0. What is u rounded to the nearest 10000?
70000
Let n be 88621496/10 + (-3)/5. Suppose -3*c = -3*t + t - n, -2*t = 5*c + 8862189. Let s = -2431082 - t. What is s rounded to the nearest one million?
2000000
Let d = 31 - 44. Let o = 13.35 + d. What is o rounded to one decimal place?
0.4
Let q(w) = w + 1. Let n be q(1). Suppose -n*g - 4550 = 3*g. Round g to the nearest 100.
-900
Let d(y) = 4*y + 7. Let k be d(8). Round k to the nearest 10.
40
Let l(y) = 52502*y + 16. Let b be l(-8). What is b rounded to the nearest one hundred thousand?
-400000
Let f = -0.4 + 0.3994. Let k = 0 + f. Round k to 4 decimal places.
-0.0006
Let f = 977.7071 - 978. Let v = f + 0.3. Round v to 3 decimal places.
0.007
Let t = -190.99999797 - -191. Round t to six dps.
0.000002
Let d = -0.166 + 1.825. Let f = d + 0.061. Let j = f + -2. What is j rounded to 1 dp?
-0.3
Let x = -25451.1214 + 25478.12139916. Let r = 27 - x. Round r to seven dps.
0.0000008
Let g = 70 - 66. What is g rounded to the nearest 100?
0
Let l(p) = 13332*p - 6. Let q be l(-6). Let m be q/4 - 4/8. Round m to the nearest 10000.
-20000
Let b be -1*1896*18750/(-45). What is b rounded to the nearest 100000?
800000
Suppose 2*c - 5*c = 14453424. Let j = c - -2828079. Let d = j + 3399729. Round d to the nearest 100000.
1400000
Let h = 5 - 13. Let x = -3531216.56000057 + 3531224.56. Let p = h + x. What is p rounded to seven dps?
-0.0000006
Let m = 3 - 2.925. Let a = 16.425 + m. Let k = 21 - a. Round k to 0 decimal places.
5
Suppose 0*k - 19400 = -5*k. Let l = -2290 + k. What is l rounded to the nearest 100?
1600
Let j = -0.05 + 13.05. Let r = -12.99999956 + j. Round r to 7 dps.
0.0000004
Let h = -17.79204 - 0.22096. Let r = h - -18. What is r rounded to two dps?
-0.01
Let l = 53 + -115. Let y = -55.6 - l. Let m = -9.1 + y. What is m rounded to the nearest integer?
-3
Let d = 29 - 7. Let p = -2 + d. Let c be (p*30)/(6/(-700)). What is c rounded to the nearest 10000?
-70000
Let n = 1 + 2. Suppose -n*r - 2*r = j - 1749996, -5*r = -4*j - 1750016. Round r to the nearest 100000.
400000
Suppose 2*w - w - 1 = -s, -w = -s + 3. Let h be (-1 - -3)*(639 - w). Round h to the nearest one hundred.
1300
Let q = -73214.64 + 73153.63917. Let w = -61 - q. What is w rounded to four decimal places?
0.0008
Let i = 6 + -5.9989. Round i to three decimal places.
0.001
Let u(f) = -f + 4. Let a(r) = 3*r - 11. Let o(n) = -2*a(n) - 7*u(n). Let w be o(6). Suppose w*d = -5*d. Round d to the nearest one hundred.
0
Let x = -16244147 - -16244216.990056. Let y = x + -70.02. Let n = -0.03 - y. What is n rounded to 5 dps?
-0.00006
Let s(q) = q**2 - 10*q + 12. Let a be (-156)/(-16) - (-1)/4. Let b be s(a). Let f be (-75)/b*2*24000. Round f to the nearest one million.
0
Suppose 292 = 4*a + 4*o, 4*o = 4*a - a - 198. Round a to the nearest 100.
100
Let l = 4.329 - 11.876. Let k = l - -7.6. What is k rounded to 2 dps?
0.05
Suppose -1 = -p + 4*x - 0, -p + 3 = -2*x. Suppose 2*r = 6, -p*b + 3*b - 356009 = -3*r. What is b rounded to the nearest ten thousand?
-180000
Let o be 1*-3 + -428 + 11. Round o to the nearest 100.
-400
Let l = -110594508 + 110594461.999951. Let n = l - -46. Round n to five decimal places.
-0.00005
Let i(m) = -m - 6100. Let b be i(0). Round b to the nearest one thousand.
-6000
Let y(c) = -c - 5. Let v be y(-7). Suppose -z - 2*m = -4*z - 186, -v*z - 137 = 3*m. Round z to the nearest 10.
-60
Suppose -7 = -3*v + 2*v. Suppose v*w = w - 936. What is w rounded to the nearest ten?
-160
Let z = -3314466127 - -3314280209.9961. Let n = -185933 - z. Let g = -16 - n. What is g rounded to three dps?
-0.004
Suppose -3*z + 2*k - 5 = 0, 3*k = -z + 5*z + 8. Let w = z + -1. Suppose 5*n = 3*r - 15985, w*n + 5*r = n + 3175. What is n rounded to the nearest one thousand?
-3000
Let x = -202 + 73. Let t = x - -128.9917. Round t to 3 decimal places.
-0.008
Let b = -0.516 + 0.61. What is b rounded to two decimal places?
0.09
Suppose 7887651 = 3*z - 0*z. Let i be 4/6 + 13797653/(-3). Let l = z + i. Round l to the nearest 100000.
-2000000
Suppose -10800012 = -4*o - 2*n, 4260651 = 2*o + 5*n - 1139355. Suppose 2*h - k - o = 0, -5*k - 1350015 = -4*h + 3*h. What is h rounded to the nearest 100000?
1400000
Let c = 40 - 60. Let g = -20.00000083 - c. What is g rounded to 7 decimal places?
-0.0000008
Let o = 282.98872 + -283.1. Let k = 0.11 + o. What is k rounded to four dps?
-0.0013
Let a = 22.47027 + 0.07493. Let u = -0.0652 + a. Let s = u - 23. Round s to 1 dp.
-0.5
Let k be 30/40 + 7/(-4). Let i(p) = -75999*p + 1. Let q be i(k). Round q to the nearest ten thousand.
80000
Let t be (-1799997)/(-9) + 2/6. What is t rounded to the nearest one million?
0
Let n = -0.63 + 0.03. Let u = -0.6000057 - n. Round u to 6 dps.
-0.000006
Let u(g) = g**2 + 9*g + 3. Let r be u(-9). Suppose 7 - 1 = -r*h, -3*a + 4*h = 29999992. Round a to the nearest 1000000.
-10000000
Let p = 13.3 - -1.1. Let z = -38 + p. Let a = -23.5897 - z. Round a to three decimal places.
0.01
Let y = 0.5 - 0.48. Let k = y - 0.12. Round k to two dps.
-0.1
Let m = -2234 - -2232.7044. Let v = 1.3 + m. Round v to 3 decimal places.
0.004
Let l = 10407 - 14907. Round l to the nearest one thousand.
-5000
Let d(s) = -55998*s - 6. Let y be d(3). What is y rounded to the nearest ten thousand?
-170000
Let h = 274 - 181. Let w = h + -88.1. What is w rounded to 0 dps?
5
Suppose 1030 = 3*k + 4*h + 215, 1045 = 4*k - 3*h. Suppose -3*a - k = 68. Let m = -189 - a. Round m to the nearest 10.
-80
Let i = -1229 - -1229.0501. Let h = i + -0.05. Round h to five decimal places.
0.0001
Let i = -8 - 30. Suppose 0 = 5*p + 11 - 1. Let v = p + i. What is v rounded to the nearest ten?
-40
Let m = -8.67 + 8.2. Round m to 1 decimal place.
-0.5
Let i be (-8)/(-20) + (-1599998)/(-5). What is i rounded to the nearest 100000?
300000
Let r = 0.4 + -0.225. Let x = r + -0.1. Round x to 2 dps.
0.08
Suppose -12004 = 4*c - 3*z, z - 4*z = -12. Let j be -7 + 5 - c/(-1). What is j rounded to the nearest 1000?
-3000
Suppose -153 = -5*y - 3*f, 0 = -4*f - 0*f + 4. Let l be (-4922)/(-6) + (-10)/y. Round l to the nearest 100.
800
Let w(c) = 156*c**3 - c**2 + 1. Let b be w(1). Suppose -2*l - 3*v + b = -l, v = 4*l - 572. Suppose 3*u + l = u. What is u rounded to the nearest 10?
-70
Let p(y) be the first derivative of -9*y**4/4 - 7*y**3/3 + 3*y**2/2 + 5*y + 3. Let u be p(-5). Round u to the nearest 100.
900
Let y = -6 - -4. Let q be 2/((-1)/(5503/y)). Let n be q/(-5) + 9/15. Round n to the nearest 1000.
-1000
Let u = 4.11 + -0.11. Let v = 4.008 - u. Round v to two decimal places.
0.01
Let c = 101 - 100.904. What is c rounded to two decimal places?
0.1
Let o be 2 - 9/((-36)/(-71600008)). Round o to the ne
|
{
"pile_set_name": "DM Mathematics"
}
|
tiple of 13?
False
Suppose -5*q + r + 5 = -r, 0 = q - 5*r - 24. Let s be 5/(-10)*2/q. Does 3 divide (s - 4)/(7/(-63))?
True
Suppose 0 = -11*j + 5147 + 3292 + 1846. Is 8 a factor of j?
False
Suppose 4*i - 4*y - 193896 = 0, -60*y + 1502590 = 31*i - 65*y. Is i a multiple of 184?
False
Suppose -9*q + 3159 + 2565 = 0. Suppose -19*o + 22*o - q = 0. Is o a multiple of 14?
False
Let d(i) = 2*i**2 + i - 18. Let a(s) = -s - 26. Let b be a(-14). Let k be (0 - 4)/((-6)/b). Is d(k) a multiple of 17?
True
Let r be ((-1)/((-2)/8))/1. Let n be (-3)/((-30)/r) + (-208)/(-5). Suppose 0 = -2*d - 4*v - n + 160, -2*v - 88 = -2*d. Does 7 divide d?
True
Let f = -11427 - -18357. Is 35 a factor of f?
True
Let m(v) = -v**3 - 5*v**2 + 7*v - 10. Let w be m(-6). Let p = -18 - w. Is (-28*(1 + p))/2 even?
True
Suppose 2124*d - 2122*d = 42796. Does 26 divide d?
True
Let l(x) = -3*x**3 + 51*x**2 - 30*x + 57. Is 9 a factor of l(7)?
False
Let o(d) = d**3 - 23*d**2 + 30*d - 153. Let f be o(21). Let n = f - -489. Does 4 divide n?
True
Let k be (-240)/(-64) + 1/4. Suppose -27*r = k*y - 29*r - 168, 0 = 2*y - 3*r - 80. Is 4 a factor of y?
False
Suppose -18*a + 3263 + 1993 = 0. Is a a multiple of 2?
True
Suppose -10*o + 13*o = -3*j, -10 = 3*j - 2*o. Let p be 11/(308/(-552))*-7. Is 23 a factor of p*1/(5 + j)?
True
Let j be (-69 + 77)*6/16. Is ((-845)/(-15)*9)/j a multiple of 13?
True
Suppose -3*u - 632799 = -34*i, 5*u - 99545 = -5*i - 6470. Is 99 a factor of i?
True
Suppose -69*n + 194248 = -247835. Does 5 divide n?
False
Let g(j) = -403*j + 80. Does 18 divide g(-25)?
False
Is 38 a factor of (31886/642)/((2 - 3)*(-2)/2736)?
True
Suppose -2*f + 130 = -44. Let s be f/(-9)*-3 - 0. Suppose 7*c - 274 = -s. Is 11 a factor of c?
False
Let u(p) = -129*p**2 + 5*p - 4. Let k be u(1). Let r = k + 187. Is 20 a factor of r?
False
Let w(d) = -2*d**2. Let b(o) = -187*o**2 - 18*o + 32. Let g(q) = -b(q) - 5*w(q). Is g(2) a multiple of 22?
True
Suppose -12097 = -66*h + 62*h + j, 0 = 3*h + 7*j - 9065. Is 21 a factor of h?
True
Let v(t) = -5*t + 62. Let b be v(12). Suppose 8*k - 2*k = b*k. Suppose k = 7*r - 5 - 58. Is 2 a factor of r?
False
Let n(z) = -z**2 - 2*z + 6*z + 9*z + 2 + 1. Let h be n(13). Suppose h*a = 8*a - 95. Does 13 divide a?
False
Let z(x) = 29*x**2 - 3. Let m be z(3). Let o be ((-6)/4)/((-141)/(-14946)). Let a = m + o. Is 11 a factor of a?
True
Let k be (-84)/(-126)*(3 - 0). Suppose 5*x = 5*f + 1293 + 2, 797 = 3*x + k*f. Does 9 divide x?
False
Let l be (5 - 32/6)/((-1)/21). Suppose 5*r - 4*a + l*a - 53 = 0, 3*r - 27 = 3*a. Suppose r*t - 14*t = -12. Is 3 a factor of t?
True
Let q(f) = 4283*f**2 - 261*f + 18. Is q(-3) a multiple of 9?
True
Suppose -4*r - 10 = -5*k, -13 = 4*r + 4*k + 15. Let f = 354 - 250. Is (-2 - r)/(210/f - 2) a multiple of 12?
True
Let p(b) = b**3 - 13*b**2 - 15*b - 26. Let h be p(14). Let x = 38 - h. Suppose -34 = -g + x. Is 11 a factor of g?
False
Let q = 24 - 4. Suppose 9*c - 4*c = 3*r + 31, 4*c - q = 0. Does 5 divide -1 - ((-6)/r + -34)?
True
Suppose -43*o - 44*o = -130*o + 127925. Is o a multiple of 35?
True
Let j(a) = a**3 - 4*a**2 - 2*a + 9. Let b be j(3). Let r be (-471)/6 - 3/b. Let v = 93 + r. Is 14 a factor of v?
False
Suppose -111*f + 680 = 162*f - 14062. Is 6 a factor of f?
True
Let s be (-4277)/7*1*(-3 + 2). Let k = s - 259. Is k a multiple of 11?
True
Suppose -3*y = -6*y + 462. Let j = -156 + y. Is j/(-4)*0 + 92 + -1 a multiple of 7?
True
Does 163 divide 794*((-2)/(-15) - 1496/(-255))?
False
Suppose 2*a + 5*h - 88180 = -0*a, -5*a = 3*h - 220412. Does 32 divide ((-12)/(-5))/(174/a)?
True
Is (2168/24 - 10)/((-2)/120*-2) a multiple of 28?
False
Suppose -57600 = -3*b - 13*b. Is b a multiple of 30?
True
Let m be (-61)/(-427) + 2164/(-7). Let r = m - -554. Does 7 divide r?
True
Suppose -108*c = -110*c + 4. Suppose c*w - 61 = u, 2*w = 4*u + 241 + 3. Is (u/(-6) + -3)*6 a multiple of 8?
False
Let m(v) = 11919*v**2 - 27*v - 26. Does 5 divide m(-1)?
True
Suppose -b - b - 2*s - 12 = 0, -2*b - 5*s - 15 = 0. Is (-477)/(-12) - b/20 a multiple of 5?
True
Let d(t) = -t**2 + 12*t + 14. Let f be d(13). Let s be (-2 + 3)*f/1. Suppose -3*r - 14 = -g, -2*g - 5*r = s - 7. Is g a multiple of 7?
False
Let l = 3411 + -2947. Does 17 divide l?
False
Let s(z) = -127*z**2 + z + 1. Let m be s(1). Let g be (-4)/18 + (-8)/((-360)/m). Is 3 a factor of (-8)/(-12) + (-7)/g?
True
Let g(p) = 4*p - 4*p**3 + 75 - 16 - 32 + 18 - 26*p**2 + 0*p. Is g(-9) a multiple of 47?
False
Let s = -1025 - -7187. Does 36 divide s?
False
Suppose -2*m = -3*g - m + 8, m = -g + 8. Suppose -45 = -g*b + 807. Does 12 divide b?
False
Suppose 7*w - o = 11*w - 17, 2*w + 3*o - 21 = 0. Let u be (-1)/w - 10/6. Is 26 a factor of (-281)/(-3) + (-1)/((-3)/u)?
False
Suppose 0 = -3*o - 107 - 106. Let f = o - -120. Suppose 50*q = f*q + 150. Is 50 a factor of q?
True
Suppose -f + 4*u = -711 - 1399, 0 = -4*f + 5*u + 8385. Does 6 divide f?
False
Suppose 50 = 9*o - 85. Does 9 divide 2/6 + -7 + 325/o?
False
Does 3 divide 7/(14/(-12)) + -4 + (139 - -7)?
False
Let y(b) = -943*b - 1759. Is 17 a factor of y(-5)?
False
Suppose 3*a = 5*a + 2*c - 4542, 4*c + 2256 = a. Is 162 a factor of a?
True
Let g = -2105 - -2996. Suppose -125*a + g = -116*a. Does 3 divide a?
True
Suppose -4*h = 4*l - 20, h - 5*l + 9 = 2. Suppose -v = 4*v - h*v. Suppose 6*z + 41 - 191 = v. Is z a multiple of 7?
False
Let h(w) = -w**3 + 4*w**2 + 2*w - 4. Let f(n) = 3*n - 24. Let i be (-1 + -2)/((-3)/9). Let l be f(i). Is 11 a factor of h(l)?
True
Suppose 36160 = 2*n - 5*v, -19*v = -20*v - 4. Is 13 a factor of n?
True
Is 23 a factor of (-15)/((-45)/12606) + -1 + -3?
False
Let f = -135 - -139. Suppose -4*x - 3*o = -267, -4*x + 0*x = -f*o - 232. Does 25 divide x?
False
Suppose -3*l + 52923 = -3*q, -2*l - 3*l + 88195 = 5*q. Is 252 a factor of l?
True
Let n be 160/6*((-81)/6)/(-9). Suppose -q + 5*w - n + 423 = 0, -2*q + 780 = 4*w. Is 24 a factor of q?
False
Suppose 0 = -3*n - 12*s + 7*s + 20, 5*n + 4*s = 16. Suppose -8*d + 7*d - 5 = n, -4*d - 836 = -4*x. Is x a multiple of 24?
False
Let d(j) = 21*j - 91. Let c(s) = 11*s - 45. Let y(a) = -10*c(a) + 4*d(a). Does 12 divide y(-8)?
False
Let r(g) = 4*g**3 + 18 - 4*g - 11*g**3 + 0*g + 21*g**2 + 9*g**3 - g**3. Is 96 a factor of r(-21)?
False
Suppose -3*q + 0*q + 9 = 0. Suppose -5*c - 259 = -q*h, 3*c - 34 = -49. Does 13 divide h?
True
Suppose 23*j - 32*j - 27 = 0. Let q(l) = -2*l**3 - 4*l**2 - 5*l + 2. Is 4 a factor of q(j)?
False
Is (-449458)/(-12) - (-28)/168 a multiple of 45?
False
Let p be (-1 - (24 - 6)) + (-1 - -1). Let j(s) = s**2 + 2*s - 34. Is j(p) a multiple of 14?
False
Let n(w) = -43*w - 3. Let o be n(-1). Does 4 divide o/16*2 - (-2 + -53)?
True
Let i = 1398 - 410. Suppose -i = -26*n + 22*n. Is 33 a factor of n?
False
Let w be -80*(-7)/(-2) + 1 + 3. Is 38 a factor of (-1)/((-1)/2)*(-69414)/w?
False
Let i = -46 - -49. Suppose 2*a = i*a - 1. Is -3 + 64/(a + 3) even?
False
Suppose 22*a = 24*a - 2*t - 3232, 2*t = -2*a + 3236. Is a a multiple of 100?
False
Let k(m) = -8*m**2 + 10*m + 6. Let l be k(5). Let b = l + 192. Does 8 divide b?
True
Let n = -3141 - -4683. Does 13 divide n?
False
Let v = -123 - -113. Let t(f) be the second derivative of -f**4/6 - 4*f**3 + 2*f**2 + 2*f. Is 11 a factor of t(v)?
True
Let b be (-4)/(-30) - (-364)/(-30). Let u be (-2)/b - 16302/(-36). Let m = u + -318. Does 27 divide m?
True
Let i(m) = m**2 - 42*m - 20. Let q be i(23). Let n = q - -653. Suppose 4*o = -3*o + n. Is o a multiple of 3?
False
Suppose -1147*w - 123675 = -1172*w. Is 42 a factor of w?
False
Suppose -8*u + 1750 - 118 = 0. Let n = -194 + u. Does 4 divide n?
False
Let d(p) = -p**3 - 18*p**2 + 17*p - 30. Let z be d(-19). Suppose 6*m = z*m. Suppose -5*n + 2*u + 473 = 0, 479 = -m*n + 5*n + 4*u. Does 19 divide n?
True
Let v be 0/(4 + -14) - (-4 - 0). Suppose 4*y - v*g - 396 = 0, 9*y = 6*y + 2*g + 296. Is 49 a factor of y?
True
Let a = -36 + 33. Let k be a/9 + 129/9. Suppose -k*l = -17*l + 114. Is l a multiple of 3?
False
Suppose -4*t = -139 + 147, 4*k - 43326 = 5*t. Is k a multiple of 17?
True
Let c = -55516 + 89176. Does 51 divide c?
True
Let j(r) be the third derivative of r**6/15 - r**5/30 - 11*r**4/6 + 18*r**2. Let o(n) be the second derivative of j(n). Is 16 a factor of o(4)?
False
Suppose 0 = -447*k + 2622841 + 1182684 + 2230763. I
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 43*l**2 + 91 - r*l**2 wrt l?
-234*l
Suppose 51 = 2*l + 3*m, 14 = 5*l + 3*m - 109. Suppose z - w - l = 0, 18 = -2*z + 3*z + w. Differentiate -103*i**4 + 49*i**4 - z + 63*i**4 wrt i.
36*i**3
Let p = 183 - 160. Find the first derivative of p*s + 79 - 101*s - 60 wrt s.
-78
Let z(j) be the first derivative of -332*j**6/3 + 2*j**5/5 + j**4/2 + 25*j**3/3 - 18*j + 5786. What is the third derivative of z(h) wrt h?
-39840*h**2 + 48*h + 12
Let j(b) = 8*b**3 - 9*b - 53. Let c(k) = -8*k**3 + 8*k + 54. Suppose 9*w - 70 = -5*w. Let q(t) = w*j(t) + 6*c(t). What is the first derivative of q(x) wrt x?
-24*x**2 + 3
Differentiate 499*j**4 + 81*j**2 - 1802 + 1799*j**4 - 111*j**4 - 81*j**2 with respect to j.
8748*j**3
Let b(t) be the third derivative of -3 - 11*t**3 + 0*t - t**2 - 2/3*t**4. Find the first derivative of b(x) wrt x.
-16
Find the second derivative of 4*v**2 + 174*v - 42*v**5 - 17*v**5 + 179*v**5 + 42*v**5 + 5*v**4 + 147*v wrt v.
3240*v**3 + 60*v**2 + 8
Let a(n) = -4*n + 5 + n - 3 + 24. Let x be a(8). What is the third derivative of -9*b**3 + 12*b**4 + 9*b**3 + 18*b**x wrt b?
288*b
Let q(d) be the first derivative of 5*d**4/4 - 4*d**2 - 838*d + 497. Differentiate q(v) with respect to v.
15*v**2 - 8
Let f = 207 + -205. What is the second derivative of 3*y**f + 15*y - 48*y + 42*y**2 - 31*y wrt y?
90
Let o(l) = -l**5 - l**4 - l + 1. Let y(v) = -8 - v + 141*v**5 - 2*v**4 - 11 - 1. Let k(s) = -2*o(s) + y(s). What is the second derivative of k(i) wrt i?
2860*i**3
Find the first derivative of 4860 - 2586 + p**2 - 26*p**2 - 792 - 19*p wrt p.
-50*p - 19
Let x(o) be the third derivative of -106/3*o**3 + 0*o - 2/3*o**4 - 144*o**2 + 1/120*o**6 + 0 + 0*o**5. Find the first derivative of x(h) wrt h.
3*h**2 - 16
Let j(c) = -783*c**3 - 14*c + 1525. Let s(b) = 392*b**3 - b**2 + 6*b - 762. Let l(w) = -2*j(w) - 5*s(w). Find the second derivative of l(x) wrt x.
-2364*x + 10
Let n(o) = -o**3 - o. Let i(d) = -175*d**3 + 6*d - 37. Let j = -391 - -397. Let t(c) = j*n(c) + i(c). Find the first derivative of t(y) wrt y.
-543*y**2
Suppose -n + 87 = 3*r, -149 = -5*r - 4*n + n. Suppose -2*y + 0*y = -r. Differentiate -24*j + y + 41*j - 30*j wrt j.
-13
Let n(f) = 1337*f**2 - 1994*f + 7. Let s(d) = -670*d**2 + 999*d - 4. Let t(g) = 4*n(g) + 7*s(g). Find the second derivative of t(z) wrt z.
1316
Suppose c = 5*u - 6, 0 = -u - u - c + 8. Find the second derivative of 1 - 26*j**2 - 11*j - 60*j**2 + 41*j**u wrt j.
-90
Let v be (2*1/(-2))/((-3)/15). Let u(m) be the first derivative of -5*m + 4*m + 3 + 2*m**v - 4*m. Find the first derivative of u(w) wrt w.
40*w**3
Let h(z) = 1. Let l(t) = 52*t**3 + 52*t**2 - 130. Let q = -180 - -181. Let i(o) = q*l(o) + 130*h(o). Find the third derivative of i(r) wrt r.
312
Let s(x) be the first derivative of 0*x**4 - x + 0*x**2 + 142 - 136/5*x**5 + x**3. Find the third derivative of s(c) wrt c.
-3264*c
Suppose -11*p = -28 - 27. Find the second derivative of 274 + 148*n**5 - 39*n - 273 - 50*n**p wrt n.
1960*n**3
Let b(h) = 16884*h - 21005. Let w(q) = 3385*q - 4201. Let u(v) = -2*b(v) + 11*w(v). What is the first derivative of u(r) wrt r?
3467
Let f be -1 - (7 + (-13 - -1) + -1). Let j(h) be the first derivative of 3/2*h**4 + 0*h - 3 + 0*h**2 - f*h**3. Find the third derivative of j(p) wrt p.
36
Let f = 179/185 + -5/74. Let u(p) be the second derivative of -19/3*p**3 + 0 + 0*p**4 - f*p**5 + 0*p**2 - 32*p. What is the second derivative of u(n) wrt n?
-108*n
Let p be 14*(216/42 + -5). Let t(g) be the third derivative of 0*g**4 + 0*g**5 - 6*g**p - 1/12*g**6 + 3/2*g**3 + 0 + 0*g. What is the derivative of t(n) wrt n?
-30*n**2
Let n(j) be the first derivative of 2*j**5/5 - 45*j**2 - 495*j - 620. Differentiate n(u) wrt u.
8*u**3 - 90
Find the second derivative of -89*p - 59*p**2 + 6 - 1685*p**2 - 3265*p**2 wrt p.
-10018
Find the second derivative of 189*s**5 - 5*s**2 - 13516*s - 2919*s**3 + 16918*s + 2919*s**3 wrt s.
3780*s**3 - 10
Let z(p) be the second derivative of -21/4*p**4 - 81/2*p**2 + 2 - 108*p + 0*p**3. What is the derivative of z(v) wrt v?
-126*v
Let k be 93 + 4 + (-3 - 2). Let i = k - 42. What is the derivative of -12*c**3 - 50*c**2 + i*c**2 + 13 wrt c?
-36*c**2
What is the third derivative of -61266*i**3 + 32063*i**3 - 12132*i**2 + 31114*i**3 wrt i?
11466
Let k(f) be the third derivative of 0*f**6 + 43/105*f**7 + 16/3*f**3 - 1/12*f**4 + 4*f - 16*f**2 + 0 + 1/30*f**5. Find the second derivative of k(g) wrt g.
1032*g**2 + 4
Let c(x) = x**3 - 7*x**2 - 31*x + 10. Let u be c(10). Find the second derivative of -13*g - 101*g**2 + u*g**5 + 67*g**2 + g**5 - 58*g**2 wrt g.
20*g**3 - 184
Let a(q) = -15*q**2 + q - 5. Let b be a(2). Let o be 84/b*30/(-8). Find the second derivative of 5*n**5 + 28*n**4 - 28*n**4 + 10*n**5 + o*n wrt n.
300*n**3
Let f(j) = 893*j**3 + 101*j**2 + 43*j - 6. Let t(o) = -895*o**3 - 102*o**2 - 36*o + 5. Let u(h) = 5*f(h) + 6*t(h). What is the third derivative of u(c) wrt c?
-5430
Let q(g) be the first derivative of -8/5*g**5 + 5*g**2 + 118*g + 172 + 0*g**3 + 0*g**4. Differentiate q(i) with respect to i.
-32*i**3 + 10
Let q(y) be the second derivative of 5857*y**3/3 + 2375*y**2 + 9705*y. Differentiate q(c) with respect to c.
11714
Suppose 47 - 217 = -108*p + 46. Let d(n) be the second derivative of 1/6*n**4 + 0 + 2*n**p + 5/2*n**3 + 49*n. What is the derivative of d(s) wrt s?
4*s + 15
Let v(z) be the second derivative of -3953*z**6/30 - 2735*z**2 + 6771*z. Find the first derivative of v(x) wrt x.
-15812*x**3
Let t(x) = -x**3 - 2*x**2 + 13*x - 7. Let a be t(-5). What is the third derivative of -193*d**3 + 19 + 406*d**3 - d**2 - 139*d**a wrt d?
444
Suppose 4*j + 8 = 0, -3 = 2*q - j + 3. Let i(z) = -2*z**2 - 8*z + 3. Let t be i(q). Find the third derivative of x**4 + 115*x + t*x**2 - 115*x - 19*x**2 wrt x.
24*x
Let v be 6*(-1)/(-6)*4. Suppose -55 = -3*s - t, -4*s - 12 + 64 = -v*t. Find the second derivative of 10*r**4 - s*r**5 - 11*r**4 - 29*r + r**4 wrt r.
-340*r**3
Let b = 3863 + -3860. Let f(g) be the second derivative of 12*g + 1/5*g**6 + 0*g**5 + g**2 + 0*g**4 + 0*g**b + 0. What is the derivative of f(c) wrt c?
24*c**3
Let n(u) = 27*u**2 + 34*u - 2. Suppose -2*w = -19*w - 34. Let i(x) = 54*x**2 + 69*x - 5. Let p(v) = w*i(v) + 5*n(v). Find the second derivative of p(j) wrt j.
54
Let t be -5*((-4)/10 - 0). Suppose 0 = 2*b - 5*b + g + 8, 3*b - 7 = t*g. Find the second derivative of 23*y + 10*y + 15*y**3 + 10*y**3 - 8*y**b wrt y.
102*y
Let p(j) = 6*j - 31. Let f be p(6). Find the third derivative of -122*u**5 - 145*u**2 - 1014*u**4 + 1014*u**4 + 40*u**f wrt u.
-4920*u**2
Let z = -732 - -734. What is the third derivative of -93*h**2 - 175*h**6 - 129*h**z + 354*h**6 wrt h?
21480*h**3
Suppose 0 = -7*y + 131 + 275. What is the second derivative of 1 - y*i**2 + 4 - 6 - 21*i + 27*i wrt i?
-116
Let l(k) = -853*k**3 - 4*k**2 + 4*k + 2606. Let x(j) = -2553*j**3 - 11*j**2 + 11*j + 7817. Let z(g) = 11*l(g) - 4*x(g). What is the derivative of z(o) wrt o?
2487*o**2
Let c be ((-8)/(-10))/(3*(-6)/(-45)). What is the third derivative of 35*r**4 + 21*r**4 - 9*r**4 - 12*r**c + 25*r**4 wrt r?
1728*r
Let t(c) = -25*c**2 + 110*c + 1107. Let y(b) = 23*b**2 - 116*b - 1111. Let a(w) = -5*t(w) - 4*y(w). Find the first derivative of a(o) wrt o.
66*o - 86
Let n(f) be the first derivative of 0*f**2 + 4*f - 12 - 11/5*f**5 - 1/2*f**4 + 1/3*f**3. Find the third derivative of n(x) wrt x.
-264*x - 12
Suppose -5*u + 2*r + r = -75, -39 = -3*u + 3*r. Suppose -2*i + 16 = 2*x, 0 = -4*i + 3*x - 0*x + u. Differentiate -21*z**2 + 15 + 4*z**2 - 2*z**2 - i*z**2 wrt z.
-50*z
Suppose -89 = -8*y + 159. What is the first derivative of 3*n - y*n - 166 + 272 wrt n?
-28
Let n(x) be the first derivative of 0*x**4 - 54*x + 0*x**2 - 51 + 0*x**3 + 77/5*x**5. What is the first derivative of n(k) wrt k?
308*k**3
Let o(c) be the second derivative of -163*c**6/6 - c**5/10 - 7*c**4/4 - 5*c**3/6 + 7*c**2/2 + c - 3704. What is the third derivative of o(x) wrt x?
-19560*x - 12
Suppose -12 - 12 = -3*x. Suppose 3*v = x*v - 3*i - 11, v - 7 = 3*i. What is the first derivative of -11*b**3 - v + 4*b - 4*b - 8*b**3 wrt b?
-57*b**2
Suppose 43*n - 72 = 358. Suppose 4*x + 3*l - 589 = 0, -4*l = -x - l + 166. Find the third derivative of 16*z**5 - n*z**2 - 151*z + x*z wrt z.
960*z**2
Suppose 30 + 35 = 5*r
|
{
"pile_set_name": "DM Mathematics"
}
|
the terms in 2 - 674*l + 44 + 3 + 108*l.
-566*l + 49
Collect the terms in 29*k + 35*k + 8*k + 13*k + 32*k.
117*k
Collect the terms in 4383 - 4383 - 2584*i.
-2584*i
Collect the terms in -n + 172*n**3 - 6 - 25*n**2 - n + 2 + 25*n**2.
172*n**3 - 2*n - 4
Collect the terms in -4*v**2 - 9108*v + 18065*v - 8957*v + 2*v**3 + 4*v**2.
2*v**3
Collect the terms in -i - i + 3468*i**3 - 1731*i**3 - 1735*i**3.
2*i**3 - 2*i
Collect the terms in 11*y**3 + 30*y**3 + 5*y**3 - 44*y**3.
2*y**3
Collect the terms in 10703*i**3 - 114*i**2 + 34*i**2 - 10709*i**3.
-6*i**3 - 80*i**2
Collect the terms in 2246 - 1126 - 1118 - 34*c.
-34*c + 2
Collect the terms in -11*b**2 + 8 + 2*b**2 - 6 + 35*b**2 + 98*b**2.
124*b**2 + 2
Collect the terms in 141*f - 36*f - 46*f - 47*f - 50*f.
-38*f
Collect the terms in 100*j + 0 - 6 - 7 + 25 - 6.
100*j + 6
Collect the terms in -1132 + 1102*c**2 - 1128*c**2 + 1132.
-26*c**2
Collect the terms in -144*c**3 - 94*c**3 + 226*c**3.
-12*c**3
Collect the terms in -156 + 95*w - 14*w + 80 + 75.
81*w - 1
Collect the terms in -39*f**3 - 9343243 + 9343243.
-39*f**3
Collect the terms in -1 - 28946*b - 28944*b + 57885*b + 1.
-5*b
Collect the terms in -36*i**3 + 2*i**2 - 97*i**3 - 2*i**2 + 137*i**3.
4*i**3
Collect the terms in -251*v**2 - 2*v - 4 - 9 + 13.
-251*v**2 - 2*v
Collect the terms in 3076576*w**2 - 38*w**3 - 3076576*w**2.
-38*w**3
Collect the terms in -30 - 34 + 93 - 29 - 103*m**3.
-103*m**3
Collect the terms in 1022518*p**2 - 1022509*p**2 - p + p.
9*p**2
Collect the terms in 15618 + 4*w**3 - 31240 + 15622.
4*w**3
Collect the terms in 154927*z + 2 - 151660*z - 4.
3267*z - 2
Collect the terms in -5295*a + 1139*a**2 + 5295*a.
1139*a**2
Collect the terms in 3*t**2 - 4*t**2 - 89 + 89 + 8*t**2 - 98*t.
7*t**2 - 98*t
Collect the terms in 3 - 3 + 74065*t**2 + 4.
74065*t**2 + 4
Collect the terms in 12 - 19*w - 13 + 10*w + 3*w - 34*w.
-40*w - 1
Collect the terms in 67697*j + 36*j**2 - 67697*j.
36*j**2
Collect the terms in 87953 - 8*u**2 - 6*u**2 + 88028 - 175981.
-14*u**2
Collect the terms in 8 - 226311*z**2 + 2 + 226313*z**2.
2*z**2 + 10
Collect the terms in -12*j - 621 + 691 + 2*j.
-10*j + 70
Collect the terms in -75*p**2 - 55*p**2 + 130*p**2 - 14*p**3.
-14*p**3
Collect the terms in -8*y - 40*y + 48*y + 216*y**3.
216*y**3
Collect the terms in 1133*t**2 - 1133*t**2 - 2*t**3.
-2*t**3
Collect the terms in -1459*z**3 + 2797*z**3 - 1412*z**3.
-74*z**3
Collect the terms in -2318*k - 4*k**2 + 9*k**2 - 6*k**2.
-k**2 - 2318*k
Collect the terms in 121*y + 71*y + 112*y - 535*y + 112*y + 118*y.
-y
Collect the terms in 4369*b**2 - 8712*b**2 + 4363*b**2.
20*b**2
Collect the terms in 26*x + 91*x - 17*x - 21*x + 3*x.
82*x
Collect the terms in 74*z + 203*z - 304*z.
-27*z
Collect the terms in 131*f**3 - 8*f**2 - f**2 + 86*f**3 + 9*f**2 - 219*f**3.
-2*f**3
Collect the terms in -2798 + 1355 + 4*q**2 + 1435.
4*q**2 - 8
Collect the terms in -623696738*v - 2*v**3 - v**3 + 623696738*v.
-3*v**3
Collect the terms in 328371*u**3 - 328364*u**3 - 20*u**2 + 7*u**2.
7*u**3 - 13*u**2
Collect the terms in 7 + 9 + 6 - 7*i - 30.
-7*i - 8
Collect the terms in 3 - 3 + 410*l + 382*l - 674*l.
118*l
Collect the terms in 127691*o + 3 + 127694*o - 255382*o - 3.
3*o
Collect the terms in 596*a**3 + 556*a**3 - 1127*a**3.
25*a**3
Collect the terms in 17*v**3 - 18 + 9*v**3 - 35*v**3 + 18*v**3.
9*v**3 - 18
Collect the terms in -1 - 33122494*t + 1 + 33122504*t.
10*t
Collect the terms in 26066 + 5*d - 8624 - 8630 - d - 8812.
4*d
Collect the terms in 60*w - 5 + 9*w - 4*w - 2.
65*w - 7
Collect the terms in 0*h + 9 - 33*h - h.
-34*h + 9
Collect the terms in -24*p + 11*p - 51*p.
-64*p
Collect the terms in 10*t + 4*t + 2934296 - 2934297.
14*t - 1
Collect the terms in 330*h**2 - 3*h + 322*h**2 - 651*h**2.
h**2 - 3*h
Collect the terms in 216 - 452 + 4*d**3 + 102 - 2*d**3 + 134.
2*d**3
Collect the terms in 19029*s - 2922*s**2 + 2921*s**2 - 19029*s.
-s**2
Collect the terms in -274*y**3 + 270*y**3 + 238*y**3.
234*y**3
Collect the terms in -4439*v**2 + 4439*v**2 + 124*v**3 + 288*v**3 + 2.
412*v**3 + 2
Collect the terms in 3417*k**2 - 1729*k**2 - 1696*k**2.
-8*k**2
Collect the terms in -37*c**3 + 122*c**3 + 0*c + 0*c + 141*c**3.
226*c**3
Collect the terms in 4 + 8*c - 1 - 3*c - 3.
5*c
Collect the terms in 2*z**3 - 29 - 5654*z**2 + 0*z**3 + 5654*z**2.
2*z**3 - 29
Collect the terms in -91 + 400168*x**2 + 91.
400168*x**2
Collect the terms in -5*o + 22*o - 8*o + 9*o**3 - 9*o.
9*o**3
Collect the terms in 620*k - 47*k**2 - 621*k + 16*k**2.
-31*k**2 - k
Collect the terms in -2*y - 12*y + y - 40*y**2 + 5*y - 15*y.
-40*y**2 - 23*y
Collect the terms in 169930*o + 169930*o - 339861*o.
-o
Collect the terms in -98*w + 757*w - 370*w + 911*w.
1200*w
Collect the terms in 0*y - 2030*y**2 + 0*y + 681*y**2 + 658*y**2 + 680*y**2.
-11*y**2
Collect the terms in -3 + 5 + 132*b**2 - 2 + 78*b**2 - 202*b**2.
8*b**2
Collect the terms in 2 + 15*w**3 + 12*w**3 - 18*w**3.
9*w**3 + 2
Collect the terms in -12 - 15*j + 1 + 11 + 3*j + 15*j.
3*j
Collect the terms in -251 + 226 + 11*p**2 + 25.
11*p**2
Collect the terms in -5916*r - 972*r - 521*r - 2914*r.
-10323*r
Collect the terms in 366*h - 136*h - 230*h + h**3.
h**3
Collect the terms in 3 + 39 + 8*z + 0*z + 22 - 7*z + 2.
z + 66
Collect the terms in 2*v - 1900*v**2 - v - 3*v + 0*v.
-1900*v**2 - 2*v
Collect the terms in -51*r + 13*r + 21*r + 14*r + 15*r.
12*r
Collect the terms in -10 + 124*t + 131*t + 10.
255*t
Collect the terms in 8179*s - 8179*s - 66*s**2.
-66*s**2
Collect the terms in 4257 - 4231 + 2*d + 2*d.
4*d + 26
Collect the terms in -39*t**2 - 2239723 + 2239723.
-39*t**2
Collect the terms in 3 - 476167*b - 3 + 476090*b.
-77*b
Collect the terms in 6 - 119*u - 16 - 44*u + 11.
-163*u + 1
Collect the terms in -68*w - 56*w + 52*w.
-72*w
Collect the terms in 2*h**3 - 34*h + 9*h**3 - 15*h - 18*h.
11*h**3 - 67*h
Collect the terms in -1246929*l + 623422*l + 623465*l.
-42*l
Collect the terms in -140*f**3 + 11681*f**2 - 11681*f**2.
-140*f**3
Collect the terms in -659*t - 692*t + 1178*t.
-173*t
Collect the terms in -12*u - u + 18*u + 9*u + 49*u.
63*u
Collect the terms in 1037*i**2 + 1273*i**2 + 3*i - 3*i.
2310*i**2
Collect the terms in -54*y**2 + 15*y**2 + 36*y**2.
-3*y**2
Collect the terms in 131 + 126 + 131 + s**2 + 153 - 539.
s**2 + 2
Collect the terms in a - 132 + 12 + 92 - 2*a + 28.
-a
Collect the terms in -65*o**3 - 7 + 1 + 50*o**3 + 26*o**3.
11*o**3 - 6
Collect the terms in -46*n**2 + 136*n**2 + 15*n**2 - 34*n**2.
71*n**2
Collect the terms in -170*d**3 + 23*d**3 - 128*d**3 + 2*d**2.
-275*d**3 + 2*d**2
Collect the terms in 11920*q**3 - 4*q + 3707*q**3 + 4*q.
15627*q**3
Collect the terms in -75101 + 75144 + 6*r**2 - 3*r**2.
3*r**2 + 43
Collect the terms in -2*m - 5200*m**2 + 52488*m**2 + 2*m.
47288*m**2
Collect the terms in -38*k + 84*k - 43*k.
3*k
Collect the terms in 139*q**2 - 79*q**2 + 58*q**2.
118*q**2
Collect the terms in -14*t + 14*t - 11*t + 105*t**2 + 108*t**2 - 212*t**2.
t**2 - 11*t
Collect the terms in -22*z + 338 + 335 + 375 - 1048.
-22*z
Collect the terms in 0 + 262*g**3 + 0 + 26*g**3 + g**2 + 5*g.
288*g**3 + g**2 + 5*g
Collect the terms in 194441 - 10*j**2 - 194441 - 29*j**2 - 64*j**2 + 47*j**2.
-56*j**2
Collect the terms in -1 + 1 - 172*f**3 - 32*f**3.
-204*f**3
Collect the terms in -5677439 + 5677439 + 52*d.
52*d
Collect the terms in -2241685 - 11*s**2 + 2241685.
-11*s**2
Collect the terms in 18*r**3 + 22*r - 5*r - 17*r - r.
18*r**3 - r
Collect the terms in 4*z - 46113 - 46038 + 92151.
4*z
Collect the terms in 3*d - 9*d - 10 + 10*d + 5*d.
9*d - 10
Collect the terms in 83*s - 83*s - 978*s**2.
-978*s**2
Collect the terms in -3141 + 7*g + 6325 - 3184.
7*g
Collect the terms in -242*a**3 + 454*a**3 + 126*a**3.
338*a**3
Collect the terms in -1977*u**2 + 2*u**3 + 974*u**2 + 0*u**3 + 0*u**3 + 1003*u**2.
2*u**3
Collect the terms in 23*w**2 - 3604*w + 2241*w + 1363*w.
23*w**2
Collect the terms in 30*s**3 + 689*s**3 - 62*s**3.
657*s**3
Collect the terms in 28 + 10*o - 105 + 40 + 37.
10*o
Collect the terms in -6 + 6 + 944*q - 370*q + 414*q.
988*q
Collect the terms in 1 - 443*r**2 - 11*r**3 + 443*r**2.
-11*r**3 + 1
Collect the terms in -934*f**3 - 1051*f**3 + 1977*f**3.
-8*f**3
Collect the terms in -573025*f**3 + 286511*f**3 + 286516*f**3.
2*f**3
Collect the terms in 16*u**2 + 15*u**2 - 21
|
{
"pile_set_name": "DM Mathematics"
}
|
-5 in decreasing order.
136, 5, 3, 1, -4, -5
Sort 2/5407, 1/5, 1/2, -5, 4 in descending order.
4, 1/2, 1/5, 2/5407, -5
Put 0.06, -1/5, -4520 in increasing order.
-4520, -1/5, 0.06
Put 369, 5, -213 in decreasing order.
369, 5, -213
Sort 2/19, 5310, 2/13, -1 in ascending order.
-1, 2/19, 2/13, 5310
Put 97, -100, -4, -2, 5 in ascending order.
-100, -4, -2, 5, 97
Put -4, -2, 806179 in descending order.
806179, -2, -4
Put -1, -5, -2, 526, 1 in decreasing order.
526, 1, -1, -2, -5
Put 118, 0, -40, -2, -3 in ascending order.
-40, -3, -2, 0, 118
Sort 7, 4, 6, 2, -5, 3 in increasing order.
-5, 2, 3, 4, 6, 7
Sort 1, -55, -114, 0 in ascending order.
-114, -55, 0, 1
Sort -74447, -2, 38.
-74447, -2, 38
Sort -1/5, 24, 2033.
-1/5, 24, 2033
Put -763, 0.1, 1, -55 in descending order.
1, 0.1, -55, -763
Sort 107, -4, -1, -20, 1 in descending order.
107, 1, -1, -4, -20
Put -9, -190, 2 in descending order.
2, -9, -190
Put -0.104, 4, 11/10 in decreasing order.
4, 11/10, -0.104
Put 45, -54, 4, -3 in increasing order.
-54, -3, 4, 45
Put 172385, -6, -5 in increasing order.
-6, -5, 172385
Sort 5, -13, -21787 in descending order.
5, -13, -21787
Put -4, 3, 1, 0, 566 in decreasing order.
566, 3, 1, 0, -4
Sort 3, 5, 224, 4, -3 in decreasing order.
224, 5, 4, 3, -3
Sort -2/11, -3, -12, 5, 36, -34 in descending order.
36, 5, -2/11, -3, -12, -34
Sort -4, 0.06, 2/7, -44/41 in decreasing order.
2/7, 0.06, -44/41, -4
Put 3, 13, -1, 1, -723 in descending order.
13, 3, 1, -1, -723
Sort -72, 8, -448.
-448, -72, 8
Sort 0.13, 0.143, 0.1, 4, -2 in descending order.
4, 0.143, 0.13, 0.1, -2
Sort 4, 1, -4, 6575, -1, 0 in ascending order.
-4, -1, 0, 1, 4, 6575
Sort -2, -3, 101, -21 in increasing order.
-21, -3, -2, 101
Sort 1.4, -1/2, -4, 0, -18 in descending order.
1.4, 0, -1/2, -4, -18
Put 38, -1/121, 0.2, -4, 1/3 in descending order.
38, 1/3, 0.2, -1/121, -4
Put -3, -2, 2, -7, 4359 in descending order.
4359, 2, -2, -3, -7
Put 180, 7, -2, -11 in increasing order.
-11, -2, 7, 180
Put -4, -13, 352, -3, -5 in descending order.
352, -3, -4, -5, -13
Sort 2, 21, 0.2, -2/9, 0.4 in ascending order.
-2/9, 0.2, 0.4, 2, 21
Sort -3, -2, -466, 1 in decreasing order.
1, -2, -3, -466
Sort 2, 0.3, -109, -7, -1/6 in descending order.
2, 0.3, -1/6, -7, -109
Put -844, -4, -21, 4 in decreasing order.
4, -4, -21, -844
Put 1, 792, -22, 5, 0 in ascending order.
-22, 0, 1, 5, 792
Sort 4, 0.15, 341 in descending order.
341, 4, 0.15
Put 11, -13, 5, -29 in ascending order.
-29, -13, 5, 11
Put 1, 5, -2, -4, 35086, 3 in ascending order.
-4, -2, 1, 3, 5, 35086
Put 5, -4, 436, -3 in decreasing order.
436, 5, -3, -4
Put 4, -94, -1, -4, -228 in ascending order.
-228, -94, -4, -1, 4
Put 7, -5, 16, 5, 1 in descending order.
16, 7, 5, 1, -5
Sort -18, -1337/5, -2 in decreasing order.
-2, -18, -1337/5
Put -3, 1, 1/9, -418, -0.4 in descending order.
1, 1/9, -0.4, -3, -418
Sort -1, -0.4, 1, 0.3, 1568, -4.
-4, -1, -0.4, 0.3, 1, 1568
Put -22, -14, -0.2, 64 in decreasing order.
64, -0.2, -14, -22
Sort -1, 1636026, 4 in descending order.
1636026, 4, -1
Put 5, 1, -5, 3, -7 in increasing order.
-7, -5, 1, 3, 5
Put 5/7, 165, 1/5 in increasing order.
1/5, 5/7, 165
Sort -558363, 5, 4 in descending order.
5, 4, -558363
Sort 4, -10413, -1.
-10413, -1, 4
Sort 1, -35, 2, -6, -25 in ascending order.
-35, -25, -6, 1, 2
Put -4, -1, 130, -18 in descending order.
130, -1, -4, -18
Sort -113, 2, 3707 in descending order.
3707, 2, -113
Sort -2/7, 1.13, -2/9, 117 in descending order.
117, 1.13, -2/9, -2/7
Sort 0.35, 0.004, -2, -3/7, 3, 5/6 in increasing order.
-2, -3/7, 0.004, 0.35, 5/6, 3
Sort -4, -3, -7, 174 in descending order.
174, -3, -4, -7
Sort -5, -7, 91, 0.05 in descending order.
91, 0.05, -5, -7
Sort 1, -171513, 11.
-171513, 1, 11
Sort -2, 2/7, 167992.
-2, 2/7, 167992
Sort 21, -6, -2527 in ascending order.
-2527, -6, 21
Put 1, -1, 824, -4, 23 in increasing order.
-4, -1, 1, 23, 824
Sort 3, -2, 16, 6, 15 in decreasing order.
16, 15, 6, 3, -2
Put -0.02, 0.85, 0.19, 45 in decreasing order.
45, 0.85, 0.19, -0.02
Sort -5, -3, 0.7594.
-5, -3, 0.7594
Sort 1, 1/5, 91, -0.08.
-0.08, 1/5, 1, 91
Put 0.09, 0, 4, -3, -409 in decreasing order.
4, 0.09, 0, -3, -409
Put -7, 41, -2, 1, 1.9, 7 in increasing order.
-7, -2, 1, 1.9, 7, 41
Sort 163, -2, -5, -11, 31, 5 in descending order.
163, 31, 5, -2, -5, -11
Put 818, 0, -4/3, -5 in descending order.
818, 0, -4/3, -5
Sort -4, 230, -12, 0, 2 in decreasing order.
230, 2, 0, -4, -12
Put -1, 175, 5, 3, -4, 11 in decreasing order.
175, 11, 5, 3, -1, -4
Put 5/3, 1/5, -4, 5, 1.03, -0.39 in increasing order.
-4, -0.39, 1/5, 1.03, 5/3, 5
Sort -2, 1, 0.24, -0.03, 2/3 in ascending order.
-2, -0.03, 0.24, 2/3, 1
Put 2/55, 0.3, -37/3, -2/109 in decreasing order.
0.3, 2/55, -2/109, -37/3
Put 1/3, -269, 2 in descending order.
2, 1/3, -269
Put 12, -1, 9, 30 in decreasing order.
30, 12, 9, -1
Sort 4, -4, 2/25, 6, 1.5.
-4, 2/25, 1.5, 4, 6
Sort -6, 0, -1935, -3.
-1935, -6, -3, 0
Put -3, -41, -9 in ascending order.
-41, -9, -3
Put 0.8, -1, 407006 in decreasing order.
407006, 0.8, -1
Sort 2/5, -1/28, -5/2, 2, 7.
-5/2, -1/28, 2/5, 2, 7
Put 0.6, 0, -1, 2, -2/23 in decreasing order.
2, 0.6, 0, -2/23, -1
Put -5, -18, -1168 in descending order.
-5, -18, -1168
Sort 1, -1.129, 3, 0.18, -0.3 in increasing order.
-1.129, -0.3, 0.18, 1, 3
Sort -2, 3, -11, -9, 0 in descending order.
3, 0, -2, -9, -11
Sort -58, -15, -330 in decreasing order.
-15, -58, -330
Sort -2/7, -2.1, -2.2, 0.06 in descending order.
0.06, -2/7, -2.1, -2.2
Put 1, -2, -396, 5, -1 in ascending order.
-396, -2, -1, 1, 5
Put 2.46, -2/7, -150 in increasing order.
-150, -2/7, 2.46
Put -0.2, 3/7, 0, 2, -0.07, 376 in decreasing order.
376, 2, 3/7, 0, -0.07, -0.2
Sort -26, -1, -657.
-657, -26, -1
Sort 1, -2, 99, 5, -4, 301 in decreasing order.
301, 99, 5, 1, -2, -4
Sort -89, 2, -0.1, -0.5, 2/3 in ascending order.
-89, -0.5, -0.1, 2/3, 2
Sort 30, 0, 5, -56 in decreasing order.
30, 5, 0, -56
Put -12/5, 1779, 3, 0.2 in descending order.
1779, 3, 0.2, -12/5
Put -3/62, -13, 14 in descending order.
14, -3/62, -13
Sort 0, 127, 4, 76, -5.
-5, 0, 4, 76, 127
Sort -29, -1, 4, -74 in descending order.
4, -1, -29, -74
Sort -63, 410, -1 in descending order.
410, -1, -63
Sort -1/4, -1/2, 2/7, -35, -1.
-35, -1, -1/2, -1/4, 2/7
Put 122, -0.1, 4, -4, 0 in descending order.
122, 4, 0, -0.1, -4
Sort -6, -1807, 1, 0, 2 in ascending order.
-1807, -6, 0, 1, 2
Put -1/85, -109, 3 in increasing order.
-109, -1/85, 3
Put -284, 0, 9, -1, -6, -2 in increasing order.
-284, -6, -2, -1, 0, 9
Sort -2, 1, -7, 5, 0, -5 in increasing order.
-7, -5, -2, 0, 1, 5
Put -5, 68959, 2 in decreasing order.
68959, 2, -5
Sort -4, -14, 1101, 5.
-14, -4, 5, 1101
Sort -9, 411, 6.
-9, 6, 411
Sort 5, 0.205, 159, -1/7 in ascending order.
-1/7, 0.205, 5, 159
Put 0.0361, -3, 17, 1 in ascending order.
-3, 0.0361, 1, 17
Put 1, -5, -39, 4 in increasing order.
-39, -5, 1, 4
Put -2, 16, 31 in decreasing order.
31, 16, -2
Sort -7, 54, -1/8, 2, 2/5, -0.041 in ascending order.
-7, -1/8, -0.041, 2/5, 2, 54
Put 3, 15, 0, 28, 5 in descending order.
28, 15, 5, 3, 0
Sort -2, -1, -12, 25.
-12, -2, -1, 25
Sort 1, 217, 2, -14 in descending order.
217, 2, 1, -14
Sort -7, 3, -0.1, -107, -5 in increasing order.
-107, -7, -5, -0.1, 3
Put -6, -4, 3, 302, 1, -3 in decreasing order.
302, 3, 1, -3, -4, -6
Sort 1, 6, 4, 3, 47.
1, 3, 4, 6, 47
Put 3, -13, 25, 5, 54 in increasing order.
-13, 3, 5, 25, 54
Put 4, -4, -5, 6, 0, -35 in decreasing order.
6, 4, 0, -4, -5, -35
Put -710, -4, 168 in increasing order.
-710, -4, 168
Put 1310, 13, -2 in increasing order.
-2, 13, 1310
Sort 2/23, 0.3, -0.06, 29, 0.2 in ascending order.
-0.06, 2/23, 0.2, 0.3, 29
Put 0, 14, -127, -2/7, 2/9 in descending order.
14, 2/9, 0, -2/7, -127
Sort 54, 39, -5, 1, 2, -4 in ascending order.
-5, -4, 1, 2, 39, 54
Sort 0, -1, 4, -1871.
-1871, -1, 0, 4
Sort 0, 294, 4, -4, 1, 5 in ascending order.
-4, 0, 1, 4, 5, 294
Put -3/13, -685, 3/7 in decreasing order.
3/7, -3/13, -685
Sort -2/15, 1, -0.2, 3, 1/83704 in decreasing order.
3, 1, 1/83704, -2/15, -0.2
Sort -2, -435, -3, 1, -22, -1 in increasing order.
-435, -22, -3, -2, -1, 1
Sort 2/9, 0.11, -5, -0.1, -101.
-101, -5, -0.1, 0.11, 2/9
Sort -2/3, 0.2, -68581 in descending order.
0.2, -2/3, -68581
Sort 4, 1, -477, -4, -3, 0 in ascending
|
{
"pile_set_name": "DM Mathematics"
}
|
g?
21
Let k(j) = -4*j + 4. Let z = 2 - 1. Suppose -z - 149 = -5*p. What is the remainder when p is divided by k(-3)?
14
Let h be -1 + -2 + (6 - 1). Let s = h - -1. Suppose 0 = -s*f - 0*f + 15, -p + 5*f = 21. Calculate the remainder when 11 is divided by p.
3
Suppose 0*v + v + 31 = 4*k, 0 = 2*k + 2*v - 28. What is the remainder when k is divided by 4?
1
Let f(z) = z**3 - 4*z**2 - 6*z + 6. Suppose -a + 4*n + 9 = 0, -4*n = 5*a - 2*n - 23. Let s(y) = y - 5. What is the remainder when s(7) is divided by f(a)?
0
Let i(y) = y + 2*y - 20*y. What is the remainder when i(-2) is divided by 18?
16
Suppose -9 = -3*w + 2*w. Let f = w - 0. Let y = -5 + f. What is the remainder when y is divided by 2?
0
Let c = -7 - -37. Calculate the remainder when c is divided by 10.
0
Let i(v) = v**3 + 7*v**2 + 4*v - 6. Let o(m) = m**3 + m + 6. Let w be o(0). What is the remainder when i(-5) is divided by w + 0 + (-3)/(-1)?
6
Let d(x) = -x**2 + 8*x + 16. Calculate the remainder when 60 is divided by d(8).
12
Suppose d - 2*d - 2*a = -57, -3*a - 67 = -d. Calculate the remainder when d is divided by 32.
29
Let o = 3 + 0. Suppose 0*j - o*j = -6. Suppose 24 = 3*p - 3*l - 3, 0 = 4*p - j*l - 42. Calculate the remainder when 22 is divided by p.
10
Let b(g) = g**3 - 5*g**2 - g. What is the remainder when 117 is divided by b(6)?
27
Let t(k) = k**3 + 4*k**2 - 4*k - 6. What is the remainder when 28 is divided by t(-4)?
8
Suppose -3*z = -0*z. Suppose -8 = -z*o - o. Let b = -11 + 34. What is the remainder when b is divided by o?
7
Calculate the remainder when 27 is divided by 3/(2/(84/9)).
13
Suppose 3*q = 0, 2*q - 7*q + 178 = 2*t. Calculate the remainder when t is divided by 13.
11
Let l = 8 + -4. Suppose 73 = l*c - 43. What is the remainder when c is divided by 10?
9
Let q = 30 + -22. Calculate the remainder when -22*(2 + -3) - 0 is divided by q.
6
Let w = 47 + -35. Calculate the remainder when 57 is divided by w.
9
Let v be (-2)/11 + 57/11. Suppose d + v*j = 6*d, 2*j - 3 = -d. Suppose 4*b + 15 = 2*o + o, -b - 5 = -2*o. What is the remainder when d is divided by o?
0
Suppose 7*u + 5*o = 3*u + 77, -u = 4*o - 22. Calculate the remainder when 103 is divided by u.
13
Let t(h) = -h**2 - 16*h - 5. Calculate the remainder when ((-56)/6)/((-2)/6) is divided by t(-15).
8
Let p be (-10)/(-4)*2*-1. Let w(f) = -f**3 - 5*f**2 - 3*f - 7. Let v(a) = 6*a - 1. Calculate the remainder when v(4) is divided by w(p).
7
Let g = -6 - -11. Suppose 2*x = -r + 11, 7*r - 4*r + 4*x = 31. Calculate the remainder when r is divided by g.
4
Let r(t) = -3*t - 65. Calculate the remainder when r(-27) is divided by 4.
0
What is the remainder when 42 is divided by 20/(-40)*(-21 + -1)*2?
20
Suppose 3*s - 5*r - 19 = 0, 5*r = -5*s + 5 - 0. Suppose 3*l + 4 = 4*l. Calculate the remainder when ((-1)/s)/(2/(-66)) is divided by l.
3
Let x(c) = c + 47. Calculate the remainder when x(-5) is divided by 11.
9
Suppose -4*d + 115 + 37 = 0. Let v(s) = 12*s**2 + s. Calculate the remainder when d is divided by v(1).
12
Suppose -5*b - 140 = -5*f, 0 = f + b + 4 - 22. Let d = f + -11. Let h = 19 - -3. What is the remainder when h is divided by d?
10
Suppose w - 29 = -0*w - 4*x, 3*w + x - 87 = 0. Suppose -5*t + 69 = -141. What is the remainder when w is divided by 4/14 + 408/t?
9
Let m(s) = 5*s**2 + 11*s + 6. Let c be m(-9). Suppose -x - 2*x = -c. Let k = 147 - x. What is the remainder when k is divided by 15?
13
Let g(k) = 26*k**2. Calculate the remainder when g(-1) is divided by 14*4/(-16)*-4.
12
Let r = 11 - 5. Calculate the remainder when 16 is divided by 42/r + 1 + 1.
7
Let p = -52 - -73. What is the remainder when p is divided by 3?
0
Let p(i) = i**2 - 3*i - 2. Let d be p(4). Suppose d*g + g + 6 = 0, 0 = -h + 3*g + 8. What is the remainder when h is divided by (4/(-5))/((-4)/10)?
0
Let s = 6 - 2. Suppose -4*n + 20 = -2*n. Suppose -3*g + s*g + 5*y - 19 = 0, 2*g - 4*y = n. What is the remainder when 16 is divided by g?
7
Suppose 0 = -l - 4*l + 10. Suppose -3*t + 3*j = -57, -55 = -3*t - 0*j + l*j. What is the remainder when t is divided by (-12)/(-10)*15/3?
5
Let h = 105 - 61. Calculate the remainder when h is divided by 15.
14
Let d = 46 + -1. What is the remainder when d is divided by 24?
21
Let k = -20 - -5. Let y = 38 - k. What is the remainder when y is divided by 1778/98 + (-2)/14?
17
Let m(b) = 3*b. Let i be m(3). Let g be i + (2 - (2 - 1)). What is the remainder when 13 is divided by g/(1/(-1)*-2)?
3
Suppose 6 = j + 5*u - 4*u, 2*j = -u + 10. Suppose -5*w = -j*i - 72, 6*w = 2*w + i + 51. Suppose w = 5*o - 53. What is the remainder when 36 is divided by o?
10
Let x(n) = n**2 - 7*n + 9. Let u(a) = a**3 - 3*a**2 + 2*a + 4. Suppose j = 4*t - 3 - 11, -7 = -3*t - j. What is the remainder when u(t) is divided by x(6)?
1
Let h(t) = 54*t**3 + 2*t**2 - 2*t + 1. Calculate the remainder when h(1) is divided by 19.
17
Let f be 7/((-1)/4 + 0). Let j = f + 39. Let s = -27 - -48. Calculate the remainder when s is divided by j.
10
Let t(s) = s**2 + 3*s - 5. Suppose 2 = -v - 5. Calculate the remainder when t(v) is divided by 6.
5
Let q(i) = i**2 + 2*i + 1. Suppose 3 = u, 2*d - 2*u - 72 = -12. Calculate the remainder when d is divided by q(2).
6
Suppose 4*t - 8 = 12. Suppose 9 = 2*x + x - 2*k, -t = -4*x + 5*k. Suppose p - 1 = x. Calculate the remainder when 10 is divided by p.
4
Let h(m) = -m**2 - 8*m + 5. Let a(p) = -p**2 + p. Let v be a(-2). Calculate the remainder when 49 is divided by h(v).
15
Let m(o) = -4*o**2 + 1. Let s be m(-1). Let g be (-2 + s/(-2))*-10. Suppose -g - 25 = -2*b. Calculate the remainder when b is divided by 4.
3
Suppose 56*p - 61*p + 45 = 0. Calculate the remainder when 43 is divided by p.
7
Suppose -5*r + 12 = 3*l - 7, 2*l - 42 = 4*r. Suppose 0*k = 4*k - 96. What is the remainder when k is divided by l?
11
Suppose -4*i = -4*m + 20, 4*i + 0*i - m = -5. Let r = i - -8. What is the remainder when r is divided by 3?
2
Let q(w) = -w**3 + 6*w**2 - 4*w - 2. Let v be q(5). Suppose -v*r + 91 + 14 = 0. Let l = 19 + -7. What is the remainder when r is divided by l?
11
Let c(u) = -u**3 + 6*u**2 + u - 6. Let s be c(6). Let p = 133 - 77. Suppose 4*d = -s*d + p. What is the remainder when 41 is divided by d?
13
Let k be (-2)/8 + 564/16. Suppose -2*y = 3*y - k. What is the remainder when 18 is divided by y?
4
Let l = -51 - -62. Suppose -88 - 2 = -3*y. What is the remainder when y is divided by l?
8
Suppose 4*c - 17 = -0*d - d, c = -2*d + 13. Suppose -32 = 2*x + 4*g, -x = -d*g - 6 - 6. Let b = 8 - x. Calculate the remainder when b is divided by 6.
4
Suppose -3*o = -23 - 1. Let c = 64 - o. What is the remainder when c is divided by 29?
27
Let s be 4*1/2 - 13. Let z = s + 13. What is the remainder when 2 is divided by z?
0
Let q(g) = -g**2 - 17*g - 13. What is the remainder when q(-11) is divided by 14?
11
Suppose f + 4*q = 3 - 9, 0 = -4*f - 2*q - 24. Let g(n) = n**2 - 2*n + 4. What is the remainder when g(f) is divided by 27?
25
Suppose -y + 7 + 13 = 3*w, w - 4 = 0. Suppose -2 = 2*m - 8. What is the remainder when y is divided by m?
2
What is the remainder when (2 + (-24)/15)*35 is divided by 4?
2
Let p be 5 - (0/(-3) + 0). Let a(i) = i**2 - i - 1. What is the remainder when a(5) is divided by 2/4*(p + 9)?
5
Let j = 24 - -6. What is the remainder when 56 is divided by j?
26
Let p = 32 + -18. Let q = p + -5. Suppose -4*a = -q*a + 45. What is the remainder when 25 is divided by a?
7
Suppose 2*b + 4*v - 126 = 0, 3*b - v - v - 173 = 0. Let x = 24 + 6. Calculate the remainder when b is divided by x.
29
Let q(d) = -d**2 + 7*d - 4. Calculate the remainder when q(6) is divided by 2.
0
Let w(d) = -12*d + 9*d + d**2 - 6 + 0*d**2. What is the remainder when 15 is divided by w(5)?
3
Suppose -2*c + 36 = -3*l, 0 = -4*c + l + 11 + 61. What is the remainder when 68 is divided by c?
14
Let y(c) = -2*c + 1. Let b be y(1). Let m = b + 1. Suppose s - 1 - 4 = m. What is the remainder when 13 is divided by s?
3
Let k = -9 + 10. Suppose 0*h - 25 = -5*h + 2*a, 3*a - k = 2*h. Calculate the remainder when h is divided by 4.
3
Let c(l) = l**3 - 3*l. What is the remainder when 143 is divided by c(3)?
17
What is the remainder when 7 is divided by 2/4*(-30)/(-3)?
2
Let v(q) be the second derivative of q**5/20 + q**4/2 + 2*q**3/3 - 8*q. Let h = -10 + 5. Calculate the
|
{
"pile_set_name": "DM Mathematics"
}
|
descending order.
6, 0, -4, -26
Put 1, -4, 5 in decreasing order.
5, 1, -4
Put 4, 7, -8, -2 in descending order.
7, 4, -2, -8
Put 4, 0, 2, -37 in descending order.
4, 2, 0, -37
Put 0, 18, 14, -1, 5 in ascending order.
-1, 0, 5, 14, 18
Put 1, 4/7, -6/11, -3 in descending order.
1, 4/7, -6/11, -3
Put 3, -105/8, -0.3, 12/11 in increasing order.
-105/8, -0.3, 12/11, 3
Put 0.4, -1, 0.03, -0.07 in descending order.
0.4, 0.03, -0.07, -1
Sort 2/3, 5, -0.2, -1/3 in descending order.
5, 2/3, -0.2, -1/3
Put -4/3, -2/9, 0.36 in descending order.
0.36, -2/9, -4/3
Put 5, 2, 0, 166 in descending order.
166, 5, 2, 0
Put 6, 5, 4 in decreasing order.
6, 5, 4
Sort -2, -186, 1, 5 in ascending order.
-186, -2, 1, 5
Put 0.5, 6, 1, -0.3, -0.2 in descending order.
6, 1, 0.5, -0.2, -0.3
Sort -1, 5, 2, 4 in descending order.
5, 4, 2, -1
Put -2, 9, 2, -5, 28 in descending order.
28, 9, 2, -2, -5
Sort 0.2, 9, -5/3, -4/5.
-5/3, -4/5, 0.2, 9
Put -2/5, 3, 13, 9 in decreasing order.
13, 9, 3, -2/5
Sort -2/5, 3, 0.085 in ascending order.
-2/5, 0.085, 3
Sort 5, 0.4, 5/7, 1 in descending order.
5, 1, 5/7, 0.4
Sort -1, 369, -32 in increasing order.
-32, -1, 369
Sort 4, 3, 2.
2, 3, 4
Sort 2, 17, 0 in increasing order.
0, 2, 17
Sort 19, 1/6, -5, -0.4.
-5, -0.4, 1/6, 19
Sort -243, 3, -6 in ascending order.
-243, -6, 3
Put -3/2, 10, 3/5 in decreasing order.
10, 3/5, -3/2
Sort -2/7, -1/9, -2, -206 in decreasing order.
-1/9, -2/7, -2, -206
Sort -1/6, 5/4, -1/4, 15 in decreasing order.
15, 5/4, -1/6, -1/4
Sort 6, -5, -3, 1 in ascending order.
-5, -3, 1, 6
Put 2, 4, -1107, 1 in increasing order.
-1107, 1, 2, 4
Sort -10, 2, 5, 6 in decreasing order.
6, 5, 2, -10
Sort 15, 1, 0.56 in decreasing order.
15, 1, 0.56
Put 3, 0, -2, -3, -46 in decreasing order.
3, 0, -2, -3, -46
Sort 0.5, 0.4, 3, -0.4 in descending order.
3, 0.5, 0.4, -0.4
Put -6, 4/3, 0.809 in descending order.
4/3, 0.809, -6
Sort -5, 0, 34, -3.
-5, -3, 0, 34
Sort 3/5, 2.1, 0.2 in decreasing order.
2.1, 3/5, 0.2
Sort -5, -4, -21 in descending order.
-4, -5, -21
Put 4, -3, 8, 10 in ascending order.
-3, 4, 8, 10
Sort -41, 3, -5, -3 in descending order.
3, -3, -5, -41
Put 0, -0.08, -1/4, -0.1 in ascending order.
-1/4, -0.1, -0.08, 0
Sort -69, -3, -1 in descending order.
-1, -3, -69
Put -7, 1, -2, -3 in decreasing order.
1, -2, -3, -7
Sort 3/4, 3, 4, 6 in descending order.
6, 4, 3, 3/4
Sort -5388, 4, 3 in decreasing order.
4, 3, -5388
Put -2, -96, -4, 0, 1 in descending order.
1, 0, -2, -4, -96
Sort -1, -11, -9 in descending order.
-1, -9, -11
Sort -1, -1/5, -3, -2/11 in decreasing order.
-2/11, -1/5, -1, -3
Sort 117, -2, 2.
-2, 2, 117
Sort -6/11, -10, 3 in decreasing order.
3, -6/11, -10
Sort 0.4, 0.5, 0.3, 0.8.
0.3, 0.4, 0.5, 0.8
Sort -42, 5, -1 in descending order.
5, -1, -42
Sort -5, 10, 4, 26 in decreasing order.
26, 10, 4, -5
Sort 22/15, 0.9, 0.2 in ascending order.
0.2, 0.9, 22/15
Sort -16, 47, 5 in decreasing order.
47, 5, -16
Put 1449, 1, 4 in increasing order.
1, 4, 1449
Sort 2, 0.014, 4 in descending order.
4, 2, 0.014
Sort 35, 5, -4, -5 in ascending order.
-5, -4, 5, 35
Sort -5, 0, -3, -1, 28.
-5, -3, -1, 0, 28
Sort 0.3, -1/4, 0, -17, 5 in increasing order.
-17, -1/4, 0, 0.3, 5
Sort -5, -129, 0, 3.
-129, -5, 0, 3
Put -52, 0, 2/9, 2/5 in increasing order.
-52, 0, 2/9, 2/5
Sort -2, -1, 4.
-2, -1, 4
Sort -1, 3, 9 in increasing order.
-1, 3, 9
Sort 1/3, -0.3, -2/13, 16, 0 in decreasing order.
16, 1/3, 0, -2/13, -0.3
Sort -1, -3, -7 in descending order.
-1, -3, -7
Sort -6, 7, 2.
-6, 2, 7
Put -3, -17, -1 in decreasing order.
-1, -3, -17
Sort -4/5, 0.1, -1/11 in ascending order.
-4/5, -1/11, 0.1
Sort -61, -59, -0.5 in decreasing order.
-0.5, -59, -61
Put 25, -3/10, 0.4, 3/5, -3 in ascending order.
-3, -3/10, 0.4, 3/5, 25
Put 3, -1/5, 1, 28, -4/5 in decreasing order.
28, 3, 1, -1/5, -4/5
Sort 4, -2, 75, -13 in ascending order.
-13, -2, 4, 75
Put 0, 1875, -4 in descending order.
1875, 0, -4
Put -0.15, 3, 16, -2 in decreasing order.
16, 3, -0.15, -2
Put 10, 2/3, 0, -0.5, -4/3 in descending order.
10, 2/3, 0, -0.5, -4/3
Put 1452, 3/2, 0.5 in descending order.
1452, 3/2, 0.5
Sort 4, -8, -807 in descending order.
4, -8, -807
Put -39, -2, 1 in decreasing order.
1, -2, -39
Put 2, -19, -5 in decreasing order.
2, -5, -19
Sort -8, -5, 24 in increasing order.
-8, -5, 24
Put 0.3, -1/2, -1/3, 10/47, -2/13 in descending order.
0.3, 10/47, -2/13, -1/3, -1/2
Sort -15/11, 5, -3 in descending order.
5, -15/11, -3
Put 3, 2, -5, 4 in ascending order.
-5, 2, 3, 4
Put 2, 15, -1, 3, 36 in decreasing order.
36, 15, 3, 2, -1
Put 6, -2/5, -4, 4 in decreasing order.
6, 4, -2/5, -4
Sort -3/8, -0.09, -0.051.
-3/8, -0.09, -0.051
Sort 1/4, 3, 0.0097, -3/2 in decreasing order.
3, 1/4, 0.0097, -3/2
Sort -5, -15, -6 in decreasing order.
-5, -6, -15
Put -1, 142, 8, 4 in decreasing order.
142, 8, 4, -1
Sort -278, -2, 0.3, 2/13.
-278, -2, 2/13, 0.3
Sort 1/5, -6, -4/9, 14/3 in decreasing order.
14/3, 1/5, -4/9, -6
Put -4, -3, -1, 332 in ascending order.
-4, -3, -1, 332
Put 1610, 3, 2/13, 1/2 in decreasing order.
1610, 3, 1/2, 2/13
Sort 6, 2, -3/5, -3 in ascending order.
-3, -3/5, 2, 6
Sort -1/3, 0, 1.5 in increasing order.
-1/3, 0, 1.5
Sort 2/5, -21, 1/6, -12/41 in descending order.
2/5, 1/6, -12/41, -21
Sort 1, 4, 37.
1, 4, 37
Put -4, 6, -29 in descending order.
6, -4, -29
Sort -1, -4, 3, 7 in increasing order.
-4, -1, 3, 7
Put 17, 5, 3, -2 in decreasing order.
17, 5, 3, -2
Put 0.03, -660, 3 in increasing order.
-660, 0.03, 3
Put -2, 27, 2, 8 in decreasing order.
27, 8, 2, -2
Sort 2, 14, 3 in descending order.
14, 3, 2
Put -65, 2/11, 0.4, 0.3 in descending order.
0.4, 0.3, 2/11, -65
Sort 5, -9, 72.
-9, 5, 72
Sort 10, 4, -3 in decreasing order.
10, 4, -3
Sort 0.2, -50, 2/11, 4 in ascending order.
-50, 2/11, 0.2, 4
Put 4, 9, -1.4, -0.3 in ascending order.
-1.4, -0.3, 4, 9
Sort -3, -4, -3/5, -1.
-4, -3, -1, -3/5
Sort -61, -5, -4, -1 in ascending order.
-61, -5, -4, -1
Sort 2/3, 1/6, 3/4, -4, -30.
-30, -4, 1/6, 2/3, 3/4
Sort -0.4, -0.27, -41/5, 0 in increasing order.
-41/5, -0.4, -0.27, 0
Sort 10/3, -6, 0.2 in ascending order.
-6, 0.2, 10/3
Sort 3, 4, 1, 5 in descending order.
5, 4, 3, 1
Sort 2/9, 3, -2, 22, 8.
-2, 2/9, 3, 8, 22
Sort 0.1, 3/8, 6/11.
0.1, 3/8, 6/11
Sort -5, -8, 218, 3 in ascending order.
-8, -5, 3, 218
Put 18, 4, -4, -6, -3 in increasing order.
-6, -4, -3, 4, 18
Put 26, 3, -0.4, -1/4 in decreasing order.
26, 3, -1/4, -0.4
Sort 1/6, 6, 2/11 in descending order.
6, 2/11, 1/6
Put -1, -2, -15 in descending order.
-1, -2, -15
Sort -3, 5, 20 in descending order.
20, 5, -3
Sort -3/2, 2, 1/6, 1/3, -0.1 in increasing order.
-3/2, -0.1, 1/6, 1/3, 2
Sort 7, 5, 2, -189 in decreasing order.
7, 5, 2, -189
Sort 1/3, 37, -0.5 in decreasing order.
37, 1/3, -0.5
Sort 0.1, 0.4, 0.5, 278.
0.1, 0.4, 0.5, 278
Put 113, -2, 1, -4, 0 in descending order.
113, 1, 0, -2, -4
Sort -1, -5, 1, 16, 22 in descending order.
22, 16, 1, -1, -5
Sort -0.22, 4, 1.3, -1/7.
-0.22, -1/7, 1.3, 4
Sort -3/8, 2/229, -0.1 in ascending order.
-3/8, -0.1, 2/229
Sort -4, -2, -271, -1.
-271, -4, -2, -1
Sort -1, 3, -14 in ascending order.
-14, -1, 3
Sort 1, -2, -315 in ascending order.
-315, -2, 1
Put 4, -0.1558, -0.2 in decreasing order.
4, -0.1558, -0.2
Sort -39, -2/11, 1, -0.3, 2/7 in decreasing order.
1, 2/7, -2/11, -0.3, -39
Sort -1, -60, -4, 3.
-60, -4, -1, 3
Sort -3, 57, 0 in decreasing order.
57, 0, -3
Sort 2.6, -0.4, -2/11 in ascending order.
-0.4, -2/11, 2.6
Sort 3, -2, 36, 4.
-2, 3, 4, 36
Put 1/2, -3/23, -4, 2, 3/5 in increasing order.
-4, -3/23, 1/2, 3/5, 2
Put 3, 4, 0, 26 in descending order.
26, 4, 3, 0
Sort -78, 5, 2.
-78, 2, 5
Put 0.2, 2/5, 3, 10 in decreasing order.
10, 3, 2/5, 0.2
Sort -3, -1, -2771 in descending order.
-1, -3, -2771
Put 2/21, 41, -4, -2/13, -0.4 in descending order.
41, 2/21, -2/13, -0.4, -4
Sort -2/7, 3/7, 32, -4 in increasing order.
-4, -2/7, 3/7, 32
Put -212, 1, -1 in increasing order.
-212, -1, 1
Sort 5/2, 1/5, -2, 0 in descending order.
5/2, 1/5, 0, -2
Sort -22, 7, 5.
-22, 5, 7
Put 2, 4, -2, 1182 in decreasing order.
1182, 4, 2, -2
Put -12, 1, -2, 3 in increasing order.
-12, -2, 1, 3
Put 4, 2, -2, -1, 561 in increasing order.
-2, -1, 2, 4, 561
Sort 0.6, -0.4, -1/23 in decreasing order.
0.6, -1/23, -0.4
Sort 375, 0, 1 in descending order.
375, 1, 0
Sort -25,
|
{
"pile_set_name": "DM Mathematics"
}
|
M?
6:04 PM
What is 204 minutes after 2:03 AM?
5:27 AM
How many minutes are there between 1:34 PM and 2:14 PM?
40
What is 419 minutes after 9:06 AM?
4:05 PM
What is 660 minutes before 12:39 PM?
1:39 AM
How many minutes are there between 10:39 AM and 8:51 PM?
612
How many minutes are there between 3:11 PM and 3:06 AM?
715
What is 655 minutes before 2:59 PM?
4:04 AM
How many minutes are there between 9:04 PM and 8:50 AM?
706
How many minutes are there between 3:35 PM and 12:21 AM?
526
What is 186 minutes after 10:34 PM?
1:40 AM
How many minutes are there between 1:47 AM and 11:31 AM?
584
What is 104 minutes after 4:14 AM?
5:58 AM
How many minutes are there between 11:16 AM and 11:22 AM?
6
How many minutes are there between 6:54 AM and 12:54 PM?
360
What is 505 minutes after 6:43 PM?
3:08 AM
How many minutes are there between 9:17 AM and 7:12 PM?
595
How many minutes are there between 5:17 AM and 11:56 AM?
399
How many minutes are there between 4:55 PM and 3:13 AM?
618
How many minutes are there between 5:25 PM and 11:07 PM?
342
How many minutes are there between 7:13 AM and 10:04 AM?
171
What is 304 minutes before 5:56 PM?
12:52 PM
What is 524 minutes after 11:52 PM?
8:36 AM
What is 135 minutes before 9:14 PM?
6:59 PM
What is 532 minutes before 8:39 AM?
11:47 PM
How many minutes are there between 3:25 AM and 8:23 AM?
298
What is 670 minutes before 2:05 PM?
2:55 AM
How many minutes are there between 9:34 PM and 4:13 AM?
399
How many minutes are there between 12:10 PM and 11:13 PM?
663
What is 265 minutes before 12:36 PM?
8:11 AM
How many minutes are there between 4:34 AM and 11:53 AM?
439
How many minutes are there between 7:32 AM and 12:54 PM?
322
How many minutes are there between 4:49 AM and 5:41 AM?
52
What is 141 minutes before 9:24 PM?
7:03 PM
What is 237 minutes before 1:18 AM?
9:21 PM
How many minutes are there between 1:02 AM and 2:09 AM?
67
What is 472 minutes before 10:28 AM?
2:36 AM
How many minutes are there between 1:23 PM and 12:20 AM?
657
How many minutes are there between 5:06 PM and 12:45 AM?
459
What is 547 minutes after 8:56 AM?
6:03 PM
How many minutes are there between 3:45 PM and 11:46 PM?
481
What is 491 minutes after 2:24 PM?
10:35 PM
How many minutes are there between 2:32 PM and 3:16 PM?
44
How many minutes are there between 4:57 AM and 12:58 PM?
481
How many minutes are there between 8:15 PM and 2:14 AM?
359
How many minutes are there between 2:05 PM and 3:55 PM?
110
What is 616 minutes after 10:48 PM?
9:04 AM
How many minutes are there between 2:28 AM and 7:33 AM?
305
What is 328 minutes after 5:05 PM?
10:33 PM
What is 130 minutes before 8:37 AM?
6:27 AM
What is 599 minutes before 9:12 AM?
11:13 PM
What is 568 minutes after 12:15 AM?
9:43 AM
How many minutes are there between 2:18 PM and 10:45 PM?
507
How many minutes are there between 6:55 AM and 7:09 AM?
14
How many minutes are there between 2:56 PM and 10:35 PM?
459
What is 283 minutes before 7:57 PM?
3:14 PM
How many minutes are there between 4:17 PM and 2:28 AM?
611
How many minutes are there between 4:28 AM and 2:12 PM?
584
What is 402 minutes before 9:35 PM?
2:53 PM
What is 246 minutes before 1:30 PM?
9:24 AM
What is 661 minutes after 10:58 PM?
9:59 AM
What is 557 minutes before 4:17 PM?
7:00 AM
What is 388 minutes before 8:24 PM?
1:56 PM
What is 560 minutes after 3:37 PM?
12:57 AM
How many minutes are there between 4:52 PM and 2:16 AM?
564
How many minutes are there between 12:57 AM and 11:41 AM?
644
What is 345 minutes after 12:36 AM?
6:21 AM
What is 77 minutes after 2:20 PM?
3:37 PM
What is 167 minutes before 6:15 AM?
3:28 AM
What is 209 minutes before 5:35 PM?
2:06 PM
How many minutes are there between 8:05 PM and 8:56 PM?
51
How many minutes are there between 4:51 PM and 11:36 PM?
405
How many minutes are there between 2:55 PM and 5:12 PM?
137
How many minutes are there between 9:39 PM and 1:49 AM?
250
What is 304 minutes before 4:38 AM?
11:34 PM
What is 194 minutes after 1:15 PM?
4:29 PM
How many minutes are there between 2:15 AM and 11:39 AM?
564
What is 404 minutes before 4:49 PM?
10:05 AM
How many minutes are there between 1:37 AM and 1:20 PM?
703
How many minutes are there between 2:01 AM and 11:56 AM?
595
How many minutes are there between 3:24 AM and 5:46 AM?
142
What is 528 minutes after 11:27 PM?
8:15 AM
What is 265 minutes before 8:30 PM?
4:05 PM
What is 36 minutes before 11:04 PM?
10:28 PM
How many minutes are there between 11:26 AM and 5:10 PM?
344
What is 700 minutes before 4:28 PM?
4:48 AM
What is 564 minutes before 9:02 AM?
11:38 PM
What is 558 minutes before 9:52 AM?
12:34 AM
What is 132 minutes after 3:46 PM?
5:58 PM
How many minutes are there between 8:48 PM and 5:09 AM?
501
How many minutes are there between 3:56 AM and 9:11 AM?
315
What is 535 minutes after 9:08 PM?
6:03 AM
How many minutes are there between 7:07 PM and 4:06 AM?
539
How many minutes are there between 3:28 AM and 3:23 PM?
715
How many minutes are there between 9:17 PM and 2:48 AM?
331
What is 295 minutes after 3:05 AM?
8:00 AM
How many minutes are there between 4:05 PM and 1:53 AM?
588
How many minutes are there between 11:22 PM and 10:51 AM?
689
What is 505 minutes after 4:26 AM?
12:51 PM
How many minutes are there between 1:22 PM and 12:17 AM?
655
How many minutes are there between 11:44 PM and 12:09 AM?
25
How many minutes are there between 3:13 AM and 8:22 AM?
309
What is 325 minutes before 6:57 AM?
1:32 AM
How many minutes are there between 2:58 AM and 3:33 AM?
35
What is 237 minutes after 10:35 AM?
2:32 PM
How many minutes are there between 3:06 AM and 8:04 AM?
298
How many minutes are there between 8:24 AM and 5:22 PM?
538
What is 675 minutes after 9:28 PM?
8:43 AM
What is 685 minutes before 1:43 PM?
2:18 AM
What is 71 minutes before 4:54 AM?
3:43 AM
How many minutes are there between 12:21 PM and 11:46 PM?
685
How many minutes are there between 10:51 AM and 8:08 PM?
557
How many minutes are there between 6:43 PM and 3:05 AM?
502
What is 605 minutes before 7:47 AM?
9:42 PM
How many minutes are there between 6:01 AM and 8:23 AM?
142
How many minutes are there between 10:41 PM and 9:41 AM?
660
What is 141 minutes before 5:12 AM?
2:51 AM
How many minutes are there between 9:35 AM and 7:03 PM?
568
How many minutes are there between 1:58 AM and 9:22 AM?
444
How many minutes are there between 1:45 PM and 9:08 PM?
443
How many minutes are there between 5:23 AM and 2:03 PM?
520
What is 120 minutes after 1:03 PM?
3:03 PM
How many minutes are there between 9:11 PM and 8:38 AM?
687
How many minutes are there between 8:40 PM and 10:43 PM?
123
How many minutes are there between 11:16 PM and 12:53 AM?
97
What is 237 minutes before 11:46 AM?
7:49 AM
How many minutes are there between 2:51 AM and 12:00 PM?
549
How many minutes are there between 9:21 AM and 7:09 PM?
588
How many minutes are there between 6:43 PM and 1:53 AM?
430
What is 313 minutes before 7:57 PM?
2:44 PM
What is 325 minutes before 10:57 AM?
5:32 AM
How many minutes are there between 1:58 AM and 6:22 AM?
264
What is 296 minutes before 11:34 AM?
6:38 AM
How many minutes are there between 11:00 AM and 9:27 PM?
627
How many minutes are there between 8:27 PM and 7:14 AM?
647
What is 597 minutes after 8:56 PM?
6:53 AM
How many minutes are there between 2:50 PM and 2:11 AM?
681
How many minutes are there between 4:32 PM and 11:57 PM?
445
What is 647 minutes after 3:47 AM?
2:34 PM
What is 325 minutes before 10:01 AM?
4:36 AM
What is 121 minutes after 3:20 PM?
5:21 PM
What is 194 minutes before 9:11 AM?
5:57 AM
How many minutes are there between 3:44 PM and 11:09 PM?
445
What is 243 minutes after 4:56 PM?
8:59 PM
How many minutes are there between 8:38 AM and 4:20 PM?
462
How many minutes are there between 1:25 AM and 6:23 AM?
298
How many minutes are there between 7:52 AM and 7:09 PM?
677
How many minutes are there between 10:56 PM and 1:47 AM?
171
What is 82 minutes before 2:42 AM?
1:20 AM
What is 609 minutes before 12:24 PM?
2:15 AM
What is 310 minutes before 3:23 AM?
10:13 PM
What is 117 minutes before 3:49 AM?
1:52 AM
What is 92 minutes after 4:33 AM?
6:05 AM
What is 154 minutes after 12:54 AM?
3:28 AM
How many minutes are there between 11:57 PM and 8:37 AM?
520
What is 158 minutes before 8:39 PM?
6:01 PM
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
erivative of -19*t**6/30 + 4*t**4/3 - 14*t. What is the third derivative of k(n) wrt n?
-456*n
Suppose 0 = h - 2*h. Let t(m) be the first derivative of 0*m**4 + 0*m**2 - 1 + 2/5*m**5 + 2/3*m**3 + h*m. What is the third derivative of t(w) wrt w?
48*w
Let p(k) be the second derivative of 0*k**2 + 0*k**3 - 6*k - 1/20*k**5 + 0 + 1/2*k**4. What is the third derivative of p(u) wrt u?
-6
Let i(g) = -6*g**5 + 2*g**3 + g**2 - 2*g + 2. Let z(l) = -l**5 + l**3 + l**2 - l + 1. Let u(y) = -i(y) + 2*z(y). Find the third derivative of u(b) wrt b.
240*b**2
Let y = 4 + -7. Let l = -1 - y. What is the third derivative of 4*f**6 + 3*f**6 - 3*f**6 + f**l wrt f?
480*f**3
Let n(q) be the second derivative of q**7/14 + 3*q**3/2 + q. What is the second derivative of n(z) wrt z?
60*z**3
Let x(t) = -5*t**3 - 4*t**2 + 33*t. Let m(d) = 11*d**3 + 7*d**2 - 67*d. Let z(a) = -4*m(a) - 7*x(a). What is the second derivative of z(n) wrt n?
-54*n
Let o be 3 + 1 - (2 + -1). Differentiate o - 5*f - 15 + 9 with respect to f.
-5
Let o(r) = r**3 + r**2 + 4. Let n be o(0). What is the first derivative of -2*q**3 - 11 - q**3 + 7 - n*q**3 wrt q?
-21*q**2
Let p(w) be the second derivative of w**8/420 - w**5/30 - w**3/3 - 2*w. Let a(m) be the second derivative of p(m). What is the second derivative of a(l) wrt l?
48*l**2
Suppose 0*a - a = 0. Let q be 5/(2 + a + -1). What is the third derivative of -c**5 - 3*c**q + 0*c**2 + 3*c**5 + 3*c**2 wrt c?
-60*c**2
Let s(i) be the third derivative of -13*i**7/210 - 7*i**4/12 - 3*i**2. Find the second derivative of s(l) wrt l.
-156*l**2
Let p(i) = -i**2 - 7*i - 8. Let g be p(-6). Let d be 1/g + (-45)/(-10). Differentiate 6*r - 6*r - 3*r**d + 2 with respect to r.
-12*r**3
Let r(v) = v**2 - 1. Let a be r(2). Find the second derivative of 0 + k**3 + a*k - 4*k**3 + 0 wrt k.
-18*k
Let c(s) = 2*s**4 + 3*s**3 + 12*s**2 + 3*s + 3. Let l(p) = -p**4 - p**3 + p**2 - p - 1. Let j(q) = c(q) + 3*l(q). What is the third derivative of j(t) wrt t?
-24*t
Differentiate -2*o - 5 - 2*o + 0*o - 7 with respect to o.
-4
Let m(d) = -280*d + 280. Let h(r) = -33*r + 33. Let y(n) = 42*h(n) - 5*m(n). What is the first derivative of y(i) wrt i?
14
What is the third derivative of 13*x**2 + 6*x**2 - 3*x**3 + 11*x**3 wrt x?
48
Suppose -5*u - 5 = 2*c - 20, 3*u = 2*c + 25. What is the second derivative of -4*l**5 - 2*l**5 - l**u + 4*l**5 + 5*l wrt l?
-60*l**3
What is the first derivative of -49*d - 51*d + 101*d + 26 wrt d?
1
Let x(s) = -1. Let r(m) = 18*m + 15. Let p(b) = -r(b) + 5*x(b). Find the first derivative of p(t) wrt t.
-18
Let w(k) = 5*k**3 + 2*k**2 - 2*k + 15. Let t(u) = -u**3 + u**2 - u - 1. Let h(s) = 2*t(s) - w(s). Differentiate h(y) with respect to y.
-21*y**2
Let y = 42 - 40. Let j(t) be the first derivative of 0*t**y + 0*t**4 + 0*t**5 - 1 + 0*t + 0*t**6 - 2/7*t**7 - 2/3*t**3. Find the third derivative of j(a) wrt a.
-240*a**3
Let h(j) = -7*j**4 + 4*j**2 + 2. Let k(p) = -14*p**4 + 8*p**2 + 5. Let u(f) = 5*h(f) - 2*k(f). What is the third derivative of u(g) wrt g?
-168*g
Let v(h) be the third derivative of 0*h**5 - 7/24*h**4 + 0 + 1/105*h**7 + 0*h + 0*h**6 - 3*h**2 + 0*h**3. Find the second derivative of v(j) wrt j.
24*j**2
Let s(f) = 4*f**5 - 8*f**2 + 2*f - 2. Let t(z) = z**5 - z**2 + z - 1. Let m(y) = s(y) - 2*t(y). What is the third derivative of m(h) wrt h?
120*h**2
What is the third derivative of -12*d**2 + 3*d**3 + 3*d**2 - 3*d**3 - 9*d**4 wrt d?
-216*d
Let m(n) be the third derivative of -8*n**7/105 - n**3/3 - 8*n**2. What is the derivative of m(w) wrt w?
-64*w**3
Let w(k) be the first derivative of 0*k - 3*k**2 + 0*k**3 - 3 - 1/2*k**4. Find the second derivative of w(d) wrt d.
-12*d
Let p be ((-3)/4)/(117/104)*-3. Let w(t) be the third derivative of 0*t - 1/20*t**5 + 0 + p*t**2 + 0*t**4 - 1/2*t**3. Find the first derivative of w(j) wrt j.
-6*j
Let s = -4 - -5. Let h(a) = -a**2 - 1. Let d(j) = 3*j + 2. Let f(g) = s*d(g) + 2*h(g). Find the second derivative of f(k) wrt k.
-4
Let j(i) = i**4. Let o = 9 + -3. Let u(p) = -10*p**4 - 7*p**2. Let x(q) = o*j(q) + u(q). What is the third derivative of x(y) wrt y?
-96*y
Let f(k) = 2*k - 3. Let t be f(-3). Let h(l) = l**2 + 9*l + 5. Let d be h(t). Find the second derivative of -2*v - 2*v**4 + d*v**4 + 0*v**4 wrt v.
36*v**2
Differentiate -18*z**3 + 8*z + 11 - 22*z + 27 + 13*z with respect to z.
-54*z**2 - 1
Let q(f) be the first derivative of f**6/15 - 5*f**4/12 - 2*f - 5. Let m(g) be the first derivative of q(g). What is the third derivative of m(s) wrt s?
48*s
Let h(u) = -u**3 - u - 3. Let t = 2 + -3. Let a(i) = i - 1. Let r(n) = -7*n + 5. Let g(z) = 6*a(z) + r(z). Let q(k) = t*h(k) + g(k). Differentiate q(f) wrt f.
3*f**2
Let z(w) = w**3 - 4*w**2 + 7*w - 11. Let v be z(4). What is the third derivative of -6*o**2 - 9*o**2 + 5*o**4 + v*o**2 + 0*o**2 wrt o?
120*o
Let i(z) = -z**2 - 6*z + 9. Let c be i(-7). What is the third derivative of -t**6 - 3*t**2 + 2*t**2 + c*t**6 wrt t?
120*t**3
Let a(w) be the second derivative of -w**9/5040 - w**6/720 - w**4/6 + 2*w. Let s(j) be the third derivative of a(j). Find the second derivative of s(l) wrt l.
-36*l**2
Let i(c) be the first derivative of 0*c**2 + c**3 + 3/5*c**5 + 0*c**4 + 0*c + 3. What is the third derivative of i(t) wrt t?
72*t
What is the third derivative of -4*t**3 - 9*t**3 + 13*t**3 + 10*t**4 - 5*t**2 wrt t?
240*t
Let s(b) be the second derivative of b**6/5 - 7*b**2/2 + 7*b. Find the first derivative of s(d) wrt d.
24*d**3
Let m(h) = -9*h**4 + h**2 - 6*h - 6. Let v(n) = -8*n**4 - 5*n - 5. Let w(d) = -5*m(d) + 6*v(d). What is the third derivative of w(x) wrt x?
-72*x
Suppose 6*f = 7*f + 15. Let z be (-2)/(-6) + (-70)/f. Differentiate 2 - z*t**3 - 1 + 3*t**3 - 5 with respect to t.
-6*t**2
Let s(j) be the first derivative of 2 - 5*j + 2*j + 0*j - j**3. Differentiate s(d) wrt d.
-6*d
Suppose -2 = 3*i - i - m, -m + 4 = 0. Let d = i + 1. What is the first derivative of 6*j**3 - 5*j**3 + 4 - d wrt j?
3*j**2
Find the second derivative of 44*v - 27*v + 1 + 59*v**2 - 16*v**2 wrt v.
86
Suppose 0*z - 3 = -z. Find the third derivative of -8*m**z + 11 - 11 - 3*m**2 - 2*m**2 wrt m.
-48
Suppose -2*o + 0*o = -8. Let l be (-4)/6*(-1 + -2). Differentiate 0*w**2 + o*w**l - 1 - w**2 with respect to w.
6*w
Let w = 22 - 23. Let l(s) = s**4 - 6*s**3 - 2*s**2 - 6*s. Let q(g) = g**3 + g. Let u(i) = w*l(i) - 6*q(i). What is the third derivative of u(o) wrt o?
-24*o
Differentiate 7 - 13 + 0 - 18*t with respect to t.
-18
Let c(v) be the second derivative of 7*v**4/12 - v**3/3 + 6*v. Find the second derivative of c(p) wrt p.
14
Let s(d) = -d - 4. Let l be s(-4). Suppose l = 5*p - 0*p. What is the derivative of -3 + 0*t**2 + 1 - 3*t**3 + p*t**2 wrt t?
-9*t**2
Let z(u) = 112*u - 145. Let d(w) = -57*w + 73. Let f(j) = -7*d(j) - 4*z(j). Differentiate f(c) with respect to c.
-49
Differentiate -3*d + 7 + 5*d - 3*d - 8*d with respect to d.
-9
Let u(i) be the third derivative of -11*i**7/210 + 17*i**3/6 + 31*i**2. What is the first derivative of u(a) wrt a?
-44*a**3
Let q(x) = 6*x + 4. Let r(w) be the third derivative of -w**4/4 - 2*w**3/3 + 7*w**2. Let p(v) = -3*q(v) - 4*r(v). Find the first derivative of p(d) wrt d.
6
Let n(o) be the third derivative of o**8/20160 - o**6/720 + o**5/30 - 2*o**2. Let s(p) be the third derivative of n(p). Differentiate s(c) with respect to c.
2*c
Find the second derivative of -16*s**3 - 8*s - 29*s + 0*s**3 + 19*s wrt s.
-96*s
Let p(w) be the third derivative of -w**8/1680 + w**5/60 - w**3/3 - w**2. Let g(r) be the first derivative of p(r). What is the second derivative of g(c) wrt c?
-12*c**2
Find the third derivative of -4*i**4 - 1 + i**2 - 3*i**4 + 1 wrt i.
-168*i
Let w(h) be the third derivative of 7*h**4/24 + 4*h**3/3 + 22*h**2 + h. What is the derivative of w(u) wrt u?
7
Let l(u) = 15*u + 2. Let h(x) = 7*x + 1. Let o(m) = -9*h(m) + 4*l(m). Let k be o(-1). Differentiate -2 - 4*n**2 - 2*n**4 + 4*n**k + 4*n**4 wrt n.
8*n**3
Let k(t) be the first derivative of -t**6/24 + t**5/30 + t**2/2 - 1. Let s(x) be the second derivative of k(x). Find the third derivative of s(j) wrt j.
-30
Let i = 8 + -6. Let b(a) be the first derivative of -i*a**2 - a**2 + 4*a**2 + 3*a - 3. Find the first derivative of b(q) wrt q.
2
Let n = -14 - -24. Let z(y) = -3*y**3 - 3*y - 5. Let b(c) = 2*c**3
|
{
"pile_set_name": "DM Mathematics"
}
|
-26320332*m**2 - 53316*m + 5
Let w(x) = -34 + 1403*x**2 + 154 + 41. Let j(o) = 26*o**2 + 3. Let h(s) = 161*j(s) - 3*w(s). Let r(f) = -2*f**2. What is h(r(k))?
-92*k**4
Let q(f) = f. Let l(j) be the first derivative of 0*j + 0*j**4 - 3 + 0*j**3 + j**2 - 7/30*j**5. Let z(a) be the second derivative of l(a). Give q(z(h)).
-14*h**2
Let u(w) = 14*w - 20*w + 14*w. Suppose -10*f = 4*m - 5*f - 28905, 4*f = m - 7200. Let y(i) = i + 7220 - m. Calculate y(u(s)).
8*s
Let z(w) = 76413 - 3*w - 76413. Let d(k) = -3*k**2 - 13*k. Determine d(z(h)).
-27*h**2 + 39*h
Let j(k) = 108*k**2. Let d(o) be the second derivative of 23*o**3/6 + 316*o. Calculate d(j(c)).
2484*c**2
Suppose 3*h - 936 = 201. Let n(u) = 0 - h*u**2 + 0 + 384*u**2. Let c(z) = 34*z. What is c(n(a))?
170*a**2
Let u(x) = 1589*x**2. Let m(w) = -6870*w**2. Give m(u(p)).
-17346207270*p**4
Let z(a) = 2*a. Let v(n) be the third derivative of n**4/24 - 265*n**3/3 - 3*n**2 + 586. What is v(z(g))?
2*g - 530
Suppose 0 = 2*f + 2*f - 2*g - 18, 3*g = 4*f - 17. Suppose f*k - 258 = -k. Let m(d) = -87*d + 43*d + k*d. Let l(y) = -19*y. What is l(m(v))?
19*v
Let z(f) = 111*f**2. Let t(y) be the first derivative of 19*y**3/3 - 3368. Calculate t(z(j)).
234099*j**4
Let h(u) = 8724*u. Let n(q) = 30*q. Determine n(h(o)).
261720*o
Let q(u) = 27485*u - 5*u**2 - 27485*u. Let n(a) = -796*a**2. Give n(q(r)).
-19900*r**4
Let o(f) = 5*f - 3*f - 5*f. Let r(a) = -6*a. Let u(q) = 6*q - 4. Let l be u(1). Let v(g) = 2*g. Let t(h) = l*r(h) + 7*v(h). Determine o(t(s)).
-6*s
Let v(a) = -15*a. Let z(p) = -5*p**2 + 2786*p - 5. Calculate v(z(m)).
75*m**2 - 41790*m + 75
Let a(i) = -227*i + 2. Let g(x) = -30*x - 64. Let d(c) = 6*c + 12. Let r(z) = 16*d(z) + 3*g(z). Give r(a(s)).
-1362*s + 12
Let o(x) = -18226*x + 74. Let n(q) = -3*q. Calculate n(o(a)).
54678*a - 222
Let v(b) = -1343*b**2. Let u(o) = 317*o - 5. Calculate u(v(p)).
-425731*p**2 - 5
Let h(j) = 4*j. Let t(g) be the third derivative of 2*g**2 + 0*g**3 - 18 + 7/30*g**5 + 0*g + 0*g**4. What is h(t(i))?
56*i**2
Let f(h) = h**2. Let g(u) = -8336768*u**2. Determine f(g(z)).
69501700685824*z**4
Let r(c) = -c**2. Let h(j) = 227774*j + 774. Determine h(r(w)).
-227774*w**2 + 774
Let u(a) = 2*a + 13. Let f(m) be the third derivative of 5*m**4/8 + m**2 - 1784. Give f(u(h)).
30*h + 195
Let v(i) = -i. Let t(o) be the second derivative of -1657*o**4/12 + 608*o. What is t(v(a))?
-1657*a**2
Let j(v) = 211591*v + 3. Let m(z) = -1306*z**2. Determine j(m(p)).
-276337846*p**2 + 3
Let t(w) = -226*w**2 - 91*w. Let a(d) = 181*d. Give t(a(b)).
-7403986*b**2 - 16471*b
Suppose 5*h + 150 = -5*k, 0*k = 3*k + 12. Let g = 28 + h. Let a(s) = -s - g*s + 10*s - 6*s. Let o(y) = 12*y + 2. Calculate o(a(j)).
12*j + 2
Let c(x) = x + 1 - 1. Let l(f) be the third derivative of -70*f**2 + 0*f**3 + 0*f + 0 + 0*f**4 + 1/12*f**5. Calculate l(c(j)).
5*j**2
Suppose -3*b - 5 = 3*d + 2*b, d = -2*b - 3. Let k(q) = -q + 11 + d - 5. Let x(o) be the first derivative of o**2/2 - 3. Calculate k(x(m)).
-m + 11
Let i(y) = -y - 34. Let o(a) = 827*a - 153. Give o(i(j)).
-827*j - 28271
Let c(v) = -666*v**2. Let k(b) = 255318*b**2. What is c(k(x))?
-43414729228584*x**4
Let x(u) be the first derivative of -5*u**2 + 186. Let a(c) = 4*c. Let i(m) = -m. Let z(y) = -a(y) + 2*i(y). Determine x(z(q)).
60*q
Let j(n) = -1375662 + 1375662 - 80*n. Let m(p) = 0*p**2 + 3*p**2 - p**2 + 0*p**2. What is j(m(v))?
-160*v**2
Let a(k) be the third derivative of 0*k**4 + 0*k**3 + 79 + 13/20*k**5 - 2*k**2 + 0*k. Let b(f) = 6*f**2. Give a(b(v)).
1404*v**4
Let n(k) = 13*k - 18. Let w(h) = -6*h + 8. Let z(o) = 4*n(o) + 9*w(o). Let f(b) = -4*b - 104. Let q(g) = g + 21. Let u(d) = 3*f(d) + 14*q(d). Give z(u(s)).
-4*s + 36
Let r(j) = 14*j + 1. Let p(v) = 275*v + 20. Let d(w) = p(w) - 20*r(w). Let t(c) = -c**2 - 81*c. Determine t(d(s)).
-25*s**2 + 405*s
Let p(b) be the second derivative of -b**4 - 34*b + 1. Let u(m) be the second derivative of -23*m**4/12 - 360*m. Calculate p(u(y)).
-6348*y**4
Let q(w) be the second derivative of 3/4*w**4 + 0*w**2 + 0 + 0*w**3 + 9*w. Let j(l) be the third derivative of l**4/24 + 39*l**2 + 1. What is q(j(g))?
9*g**2
Let x(l) = -3*l + 2. Let q(z) = -z**2 - 11491*z - 4. Give x(q(u)).
3*u**2 + 34473*u + 14
Let n(q) = -3*q**2. Let s(g) be the second derivative of -g + 0*g**2 + 35/6*g**4 + 0*g**3 - 36. Calculate n(s(p)).
-14700*p**4
Let k(u) = -44*u**2 - u + 23*u**2 + 41*u**2 + 13*u**2 + 0*u. Let g(s) = -21*s**2. Calculate k(g(o)).
14553*o**4 + 21*o**2
Let p(h) = 25*h + 75. Let q(i) be the first derivative of i**2/2 - 2132. Determine p(q(o)).
25*o + 75
Let i(b) = 13043160*b**2 + 2*b. Let f(s) = -6*s**2. Determine i(f(w)).
469553760*w**4 - 12*w**2
Let w(z) = -65*z**2 - 8. Let c(o) = -22036*o - 22037*o + 44071*o. Determine c(w(s)).
130*s**2 + 16
Let q(c) be the second derivative of -c + 0*c**3 + 3 + 0*c**2 - 9/2*c**4. Let t(a) = 3*a. What is t(q(l))?
-162*l**2
Let i(g) = -85*g**2. Let a(d) = -7*d + 18. Let n(x) = 40*x - 96. Let z(r) = -16*a(r) - 3*n(r). Calculate z(i(b)).
680*b**2
Let d(r) = -96*r + 49*r + 48*r. Let n(w) = -3*w + 3. Let u(f) = 3*f - 3. Let g(z) = z**2 - 12*z + 25. Let l be g(10). Let k(h) = l*n(h) + 6*u(h). Give d(k(t)).
3*t - 3
Let f(w) = -w**2. Let m(j) be the first derivative of 29*j**5/120 - 40*j**3 + 12. Let i(h) be the third derivative of m(h). Give i(f(p)).
-29*p**2
Let x(b) = 126*b - 15 - 10 + 25 + 36*b. Let q(n) = 5*n. Calculate q(x(l)).
810*l
Let w(b) = 2*b. Let s(k) = 8606*k - 20. Let p(c) = 2869*c - 7. Let j(x) = -14*p(x) + 5*s(x). What is w(j(d))?
5728*d - 4
Let k(w) = -3*w. Let u(c) = 1393*c**2 - 25*c. Let h(l) = 4180*l**2 - 70*l. Let i(b) = 5*h(b) - 14*u(b). Calculate k(i(m)).
-4194*m**2
Suppose -3*o + 2*d + 92 = 0, -2*o - 2*d + 4*d + 64 = 0. Let b(u) = -14 - 88*u**2 + o*u + 13 - 28*u. Let r(n) = -n. Determine r(b(t)).
88*t**2 + 1
Let k(q) = 3*q**2. Let y(h) = 11223813*h. Calculate k(y(j)).
377921934776907*j**2
Let r(u) be the first derivative of u**2/2 - 31. Let x(b) = 5*b + 3. Let m(v) = -30*v - 16. Let a(n) = 3*m(n) + 16*x(n). Calculate a(r(k)).
-10*k
Let c be (-22 + 24)*(2 - 4). Let t(b) = -9*b**2 + 69*b - 4. Let r(u) = -7*u**2 + 71*u - 3. Let i(w) = c*r(w) + 3*t(w). Let n(l) = -l. Give i(n(q)).
q**2 + 77*q
Let y(g) = -13*g. Let j(s) be the third derivative of -173*s**5/20 - 5*s**2 + s - 15. Give j(y(l)).
-87711*l**2
Let v(c) = c**2 + 18 - 21 + 3. Let p(d) be the third derivative of -23*d**5/15 - 40*d**2. Determine p(v(f)).
-92*f**4
Let i(k) = 14*k + 2. Let j(q) be the third derivative of -q**5/6 + 52*q**2 + 5*q. Give j(i(p)).
-1960*p**2 - 560*p - 40
Suppose -2*t - 2 = -5*x, -4*t = -3*x + 7*x + 4. Let v(u) = 2338*u - 2337*u + x + 0. Let r(d) = 18*d**2. Give r(v(w)).
18*w**2
Let c(k) = 2*k. Let p(z) be the second derivative of 313*z**6/720 - 29*z**4/6 - z**2 - 267*z. Let m(a) be the third derivative of p(a). Calculate c(m(s)).
626*s
Let z(s) = 2*s + 3*s - 2*s - 4*s. Let k(f) be the first derivative of 34 + 0*f**2 + 31/3*f**3 + 2*f. Calculate z(k(c)).
-31*c**2 - 2
Let s(d) = 452546*d. Let f(t) = 1805*t. Calculate s(f(y)).
816845530*y
Let s(d) = 3*d**2 - 6*d - 6. Let b(q) = -2*q**2 + 5*q + 5. Let u(n) = -6*b(n) - 5*s(n). Let v(g) = 146*g - 303*g - 8*g**2 + 157*g. Give u(v(a)).
-192*a**4
Let z(p) = -9 + 3*p - 6*p + 5*p. Let j be z(6). Let c(v) = -j*v + 3*v + 4*v + 0*v. Let a(t) = -5*t**2. Determine c(a(x)).
-20*x**2
Let v(x) = -5434359*x. Let y(p) = 2*p**2. What is y(v(o))?
59064515481762*o**2
Let s(v) = 0*v**2 - 24 - 3*v**2 + 7*v**2 - 8 + 43. Let k(w) = 4*w**2. Calculate k(s(b)).
64*b**4 + 352*b**2 + 484
Let q(s) = -4*s + 339. Let g(h) be the first derivative of 2*h**3/3 + 1514. What is q(g(n))?
-8*n**2 + 339
Let b(q) = -10*q**2. Let z(g) = 387993*g**2 + 3679*g + 3679. Let i(t) = 633*t**2 + 6*t + 6. Let h(r) = -3679*i(r) + 6*z(r). Determine h(b(x)).
-84900*x**4
Let x(r) = 24*r. Let s(b) be the third derivative of -13*b**4/8 - 27*b**2 + b. Calculate x(s(f)).
-936*f
Let t(y) = -4*y - 1. Let f(q) = -2646*q**2. Calculate f(t(j)).
-42336*j**2 - 21168*j - 2646
Let o(k) = -418*k**2. Let j(g) be the third derivative of -9*g**5/20 - 4128*g**2. What is j(o(r))?
-4717548*r**4
Let n(a) = -4*a**2. Let o(w) = 387*w**2 - 829*w**2 + 384*w**2 + 11. Let d(k) = 15*k**2 - 3. Let p(q) = -22*d(q) - 6*o(q). Determine p(n(c)
|
{
"pile_set_name": "DM Mathematics"
}
|
e (-4*g + 0*g + 2*g)*(2*g**2 - 2*g**2 + 4*g**2)*(2*g + g - g) to f*g**3 + o*g**2 + w*g**4 + p*g + m and give w.
-16
Express (10 - 10 - 20 - 4)*(37*b - 37*b + 2*b**2) as f + a*b + s*b**2 and give s.
-48
Express -35*f + 9*f - 24*f + 8*f as j*f + s and give j.
-42
Rearrange 24 + 6*q - 22 - 2*q to the form i*q + o and give o.
2
Express (2*n - 1 - 5*n + n)*(31*n - 175 + 175) in the form u*n**2 + j + m*n and give m.
-31
Express -246 + 246 + 23*x in the form g*x + m and give g.
23
Express (33 - 33 - 5*q)*(-5*q - q**2 + q + 2*q) in the form d*q**2 + i*q**3 + m + v*q and give i.
5
Rearrange 8*q + 19 + q - 12*q to the form c + i*q and give i.
-3
Express (-1 - 2*c + 1)*(-5 + 8*c + 5)*(1 + 7 - 2) as b + d*c**2 + r*c and give d.
-96
Rearrange -2*o - o - 11*o + o + 2*o - 2*o + (5*o - 2*o - o)*(-2 + 4 - 3) - 3 + 3 - o + 2*o - o + o to y*o + m and give y.
-14
Express 0 - 2 + 60*p + 2 in the form h + d*p and give h.
0
Rearrange (3 - 5 + 0)*(2*h + h**2 - 2*h) + 3*h**2 - 2*h + 2*h**2 - 4*h**2 to the form d*h + n + f*h**2 and give f.
-1
Express 0*m**3 - 36 - 3*m**3 + 4*m**3 in the form z*m**3 + i + j*m + b*m**2 and give z.
1
Express 160*z**3 + 1 - 2*z**2 - 161*z**3 + 4*z**2 + 6*z + 0*z**2 in the form d + m*z + a*z**2 + v*z**3 and give a.
2
Rearrange -2*c - 2*c**3 + 3 + 3*c + c**4 - 1 + c**4 to the form u*c**3 + a*c**2 + r*c**4 + x + g*c and give u.
-2
Express -4 - 10*q**3 + 0*q + 4 - 3*q in the form a + g*q**2 + n*q + z*q**3 and give z.
-10
Rearrange 11*p**2 + 8*p**2 - 2*p - 9*p**2 to the form a*p**2 + l*p + v and give l.
-2
Rearrange 3*p**2 - 3 + 12*p - 8*p**2 - 14*p - p**3 + p**2 to k + m*p + w*p**2 + j*p**3 and give w.
-4
Express -m - 12*m**3 - 7*m**3 + 3*m**2 - m**4 + 20*m**3 in the form j*m**4 + n*m**3 + t*m + f*m**2 + r and give t.
-1
Rearrange (2*d**2 - d**2 - 2*d**2)*(-3 + 4 - 3) + 23*d**2 + 5*d**2 - 3*d**2 to w*d**2 + t + g*d and give w.
27
Rearrange -4*j - 6*j - 7*j + 4*j to the form q*j + a and give q.
-13
Express g**3 + 0*g**3 - 2*g**3 - 5*g**3 - 6 + 8 - 1 + (4*g - 2*g + 0*g)*(2 - 2*g**2 - 2) + 5*g**3 + 2*g**3 - 3*g**3 as f*g**3 + x*g**2 + h + b*g and give h.
1
Rearrange -14 + 0*t**3 + t**3 - 6*t - t + 8*t to the form s*t**2 + f*t + l + n*t**3 and give l.
-14
Express 3 + 1 - 4 - 2*z**2 + 2 in the form v + g*z + b*z**2 and give b.
-2
Express 23*h**2 - 10*h**4 - 3 + 2 + 8*h**4 as j + d*h + k*h**2 + u*h**4 + w*h**3 and give k.
23
Express 5 + 2*o - 6*o + 2*o + 2*o**3 - 6*o in the form a*o + l*o**2 + d*o**3 + z and give a.
-8
Express (306 - 152 - 148)*(2*a + 0*a - 3*a) as z + j*a and give j.
-6
Express -2*f - 5*f + 5*f**2 + 3*f - 3*f**2 as l + t*f**2 + x*f and give x.
-4
Express 5*f**4 - 3*f + f - 2*f**2 + 3*f**2 - 6*f**4 - 1 as j + d*f + k*f**3 + h*f**4 + c*f**2 and give h.
-1
Express -3 + 3 + 2*q**3 + 1 + q**2 + 2*q**4 + 3*q**2 as n + b*q**2 + j*q + w*q**4 + g*q**3 and give j.
0
Express 4 - 11*g - 4 + 0*g as p*g + n and give n.
0
Express -19*r + r**3 - 2*r**2 + 4*r**2 + 17*r as t*r**2 + d*r + i*r**3 + l and give d.
-2
Express 71 - 32*x - 71 + (0 + 0 + 2)*(-2 + 2*x + 2) as s + k*x and give k.
-28
Rearrange 20*z**2 - 2*z**2 + 0*z**2 + 29*z**2 to l*z + n + q*z**2 and give q.
47
Rearrange -3 + 3 + t**3 + (-3*t**2 - 18*t**3 + 3*t**2)*(3 - 5 + 0) to p*t**2 + l + m*t**3 + o*t and give m.
37
Express -3*r**3 - r**2 + 1 + 64*r - 5*r**4 + 67*r - 133*r as j*r + k + z*r**2 + q*r**4 + t*r**3 and give z.
-1
Rearrange (-2 - 1 + 0)*(17*y - 2*y**2 - 20*y + 0*y**2) to the form j*y**2 + m + x*y and give x.
9
Rearrange 3*c**3 - 1 - 2*c**3 - 3*c + c**3 - 2*c**4 - 3*c**3 to u*c + r*c**3 + d*c**4 + k + l*c**2 and give r.
-1
Rearrange 4 - n + 9*n**4 - 2 + 2*n - 2*n**2 - 2*n**3 - 10*n**4 to y + f*n**3 + c*n + i*n**2 + r*n**4 and give c.
1
Rearrange (1 + 11*s - 11*s - 5*s**2)*(-2*s**2 + s + s**2 + 0*s**2) to the form z*s**4 + p*s**2 + n*s + q + b*s**3 and give z.
5
Rearrange (-2 + 2*u + 2)*(4 + 1 - 3) + 0*u - 3*u + u + (-7 + 4 + 0)*(-3 + 3 + u) to the form a*u + w and give a.
-1
Express d - 2*d**2 - d + 12*d**2 - 17*d**2 - 6*d**2 + (-2*d + 3*d + 0*d)*(-4*d + 5*d + d) in the form s + r*d**2 + t*d and give r.
-11
Express (z**2 - 3*z**2 - 10*z**2)*(-2 - 6 - 5)*(-3 - 3 + 4) in the form s*z + v + h*z**2 and give h.
-312
Express -2*q + 2*q**2 + 5*q**4 - 2*q**4 - 4*q**4 - 6*q**3 - q**4 as v + n*q + m*q**2 + h*q**4 + d*q**3 and give m.
2
Rearrange (-1 - 1 + 6 - 2*h)*(-6*h**2 + 5*h**2 + 12*h**2) + (-2*h**2 - h**2 + 5*h**2)*(-h + 3*h - h) to the form d*h**3 + x*h + p + u*h**2 and give u.
44
Rearrange (-4*d + 2*d + 7*d)*(-1 - 3*d**3 + 1) to s + z*d**3 + k*d**2 + i*d**4 + y*d and give i.
-15
Express 2*g - 4 + 6*g**2 + 3 + 2 - 3 in the form q + h*g**2 + a*g and give q.
-2
Rearrange -31*t + 9 + 11*t + 16*t to the form w + i*t and give w.
9
Express 2*d**2 + 6*d**3 - d**3 - d**2 + 0*d**2 - 2 as o*d**3 + g*d + r*d**2 + i and give r.
1
Rearrange ((-3 + 5 - 3)*(4 - 1 - 5) + 0 + 0 - 2 + 1 + 0 - 2 - 18 + 10 + 22)*(-2*m - 3*m + 2*m) to the form v*m + n and give n.
0
Express 9*x**3 + x - 5*x**3 + x + 25 - 6*x**3 in the form v*x + n*x**2 + y + l*x**3 and give l.
-2
Rearrange 9*i**3 - 3*i**4 - 8*i**3 + 3*i**4 - 2*i**2 + 2*i**4 to m*i**3 + p + c*i**2 + v*i**4 + u*i and give v.
2
Rearrange -150*t**2 + 20*t - t**3 - 8*t + 149*t**2 to the form j*t**2 + p*t**3 + a + k*t and give j.
-1
Express (p**2 + 125 - 125)*(-2*p + 3*p - 2*p + 2) in the form g*p**2 + j + n*p + m*p**3 and give g.
2
Express 7*u - 71*u + 7*u in the form f*u + o and give f.
-57
Rearrange (-2*s + 0*s + 4*s)*(-3*s + s + 0*s) + 18*s**2 + 7*s**2 - 5*s**2 to j*s**2 + q*s + y and give j.
16
Rearrange 4*a**3 - 56*a**2 + 1 - 6*a**3 + 46*a**2 to u*a + l*a**3 + y + i*a**2 and give l.
-2
Rearrange h + 11*h - 11*h + h - h + 2*h + 0*h - 2*h + h + (3 + 3 - 4)*(-2*h + 0*h + 3*h) + (0*h - 3*h + h)*(-5 + 3 + 1) to k + x*h and give x.
6
Express 6*r**2 + 4*r**2 - 3*r**2 in the form j*r + b + x*r**2 and give x.
7
Rearrange (-5*h + h + 2*h)*(2 - 2 + 2*h**2) to t*h**3 + m + r*h + u*h**2 and give t.
-4
Express 4*u - 6 - u**4 + 2 + 0 + 1 as j*u**4 + i + q*u**3 + v*u + w*u**2 and give i.
-3
Express (-7 + 2 + 3 + (2 - 1 + 1)*(-1 - 2 + 1))*(3 - 3 + 11*n**2) as s*n**2 + r + o*n and give s.
-66
Express r**2 + 1 - r - 120*r**4 + r**3 - 2*r**3 + 118*r**4 as g*r**2 + k*r**3 + y + o*r + p*r**4 and give o.
-1
Rearrange (s - 2*s - 3*s)*(1 - 1 + 1)*(2*s - 2 + 2) to n*s**2 + u + q*s and give n.
-8
Rearrange (-2*l**3 - 3*l**3 + 3*l**3)*(-2 - 2 + 2) + (5*l - 2*l + 0*l)*(2 + 1 + 0)*(3*l**2 + 6*l**2 + 5*l**2) to u*l**3 + y*l**2 + x + h*l and give u.
130
Rearrange (0 + 0 + w**2 + (-4 + 4 + 2*w)*(2 - w - 2) + 0*w + 0*w - w**2)*(-4*w + 1 + 2*w - 10*w) to the form y*w**3 + b + c*w**2 + t*w and give c.
-2
Express 3*q**2 + 21*q**3 + 3*q**4 - 1 - 22*q**3 - q**2 as i*q**4 + u*q + w*q**2 + l + d*q**3 and give l.
-1
Express (-7*o**2 - 2*o**2 + 3*o**2)*(-2 + 2 + o)*(-3 + 2 + 0) + (o**2 + 3*o**2 - 3*o**2)*(1 + 2*o - 1) in the form b*o + t + f*o**2 + a*o**3 and give a.
8
Express (-i + 2*i + 5*i)*(1 - 1 + i**3) - i**4 + 0*i**4 - 3*i**4 in the form p + b*i + k*i**2 + f*i**4 + z*i**3 and give f.
2
Express -o**2 + 11*o**2 - o**2 in the form w + d*o**2 + m*o and give d.
9
Express (4*j + 4*j - 3*j)*(-5*j + 2*j + 2*j) as l*j**2 + b*j + y and give l.
-5
Express -45*i**2 + 17*i**2 - 14*i**2 - 128*i**2 as t*i**2 + u*i + o and give t.
-170
Express (-10 + 52 + 13)*(-2*r**4 + 3*r**4 + r**4) in the form h*r + o + q*r**2 + z*r**4 + w*r**3 and give z.
110
Rearrange 0*o**2 + o**2 + 9*o**2 + 9*o**2 to the form l*o + d*o**2 + n and give d.
19
Express -d**3 + 36*d**2 + 4 - 34*d**2 + 3*d - 3*d as y*d + t*d**3 + b + u*d**2 and give u.
2
Express 372*j - 372*j - 3*j**2 as o*j + y + c*j**2 and give c.
-3
Express -134 + 12*b**2 + 134 in the form t*b + x*b**2 + l and give x.
12
Express 8*t - 8*t + 16*t in the form m*t + r and give m.
16
Express (-2 - 8 + 4)*(-3*z + 0*z + 4*z)*(2 - 4 - 1)*(1 + 0 - 3) in the form t*z + x and give t.
-36
Express -4*g + g - 37 - 3*g**3 + 37 as p + z*g + u*g**3 + y*g**2 and give z.
-3
Rearrange (2 - 1 - 3)*(2 - 8 + 124*m - 127*m)*(2*m**3 + m**2 - m**2) to y + w*m**2 + f*m + i*m**4 + j*m**3 and give i.
12
Rearrange (-3*v + 48 - 48)*(0 - 1 + 0)*(-2*v + 0*v - 6*v) to the form x + c*v**2 + j*v and give c.
-24
Express -2*w - 2 + 2*w**4 + 4*w**3 - 16*w**4 + 7*w**4 + 4*w**4 as i*w**2 + t*w**4 + d
|
{
"pile_set_name": "DM Mathematics"
}
|
6 = n. Is t a multiple of 11?
False
Is 9 - (-174)/(-18) - 50/(-3) a multiple of 5?
False
Let y(f) = -f**2 - 7*f - 1. Let v be y(-6). Suppose 5 = -5*u - v. Let j = 26 - u. Is 4 a factor of j?
True
Let r be (2/4)/((-4)/(-56)). Let c = r - 6. Does 11 divide (c - 0) + 3 + 49?
False
Let v = 21 + -24. Let y(g) = -11*g + 2. Let o be y(v). Let l = o + -29. Is l a multiple of 6?
True
Let a(m) = -2*m + 6. Let v(o) = -5*o + 12. Let k(p) = -14*a(p) + 6*v(p). Let g be k(-7). Is 4 a factor of 4 + (g - (0 + 2))?
True
Suppose -5 = -5*s, n - 9 = -2*n - 3*s. Let a(d) = 24*d. Does 24 divide a(n)?
True
Suppose 5*i = -195 + 565. Is 12 a factor of i?
False
Suppose 19*p - 11861 = -10*p. Does 27 divide p?
False
Suppose 0 = -12*w + 724 - 232. Suppose -6*v + 763 = -w. Does 15 divide v?
False
Suppose -2*m - h + 11 = 0, 4*m = h - 6*h + 37. Suppose 3*r + y - 101 = 0, 4*r + r - m*y = 187. Does 7 divide r?
True
Let p = 0 - -2. Suppose 4*o = 2*m - 2, 4 = 4*m - 2*o - 6. Suppose -p*l - m*l + 200 = 0. Is l a multiple of 20?
True
Let h(j) be the first derivative of j**4/4 + j**3/3 + j**2/2 + 8*j - 19. Is 8 a factor of h(0)?
True
Let v be (1/(-3))/(3/(-135)). Is 69/v + (-2)/(-5) even?
False
Let u(l) = -20*l + 2. Let c(o) = -o**3 - 15*o**2 - 13*o + 12. Let j be c(-14). Is u(j) a multiple of 11?
False
Let s = -19 + 23. Suppose 0 = -s*q + 3*q + 41. Is q a multiple of 5?
False
Suppose 0 = 3*g, -q + 6*q + 2*g - 365 = 0. Is 32 a factor of q?
False
Let r be 5/2 - (-18)/12. Suppose 5*n - 3*k - 218 - 197 = 0, 0 = r*n + 3*k - 359. Is n a multiple of 6?
False
Suppose -2 = 2*c - 118. Does 3 divide c?
False
Let k = 76 - 72. Suppose 4*m - 2*r = 104, -k*m + 32 + 72 = -5*r. Does 5 divide m?
False
Let j(q) be the third derivative of 1/60*q**5 + 0 + 0*q - 2*q**2 + 0*q**3 + 1/6*q**4. Is 23 a factor of j(-8)?
False
Let b(y) = 3*y - 15. Let w be b(7). Let m be (4/8)/(2/4). Let x = w + m. Is 7 a factor of x?
True
Suppose 4*p - 795 + 167 = 0. Suppose 4*n - p = -37. Let m = n + 18. Is 10 a factor of m?
False
Let u(x) = -6*x + 5*x - 15*x - 6 - 9*x. Let d(v) = -v**3 + 7*v**2 + 9*v - 12. Let m be d(8). Does 27 divide u(m)?
False
Does 4 divide (-12)/18 + 1772/12 + -3?
True
Suppose -w + 6*w = -2*y + 691, 0 = -5*y - 5*w + 1765. Is y a multiple of 12?
False
Let w(l) = 16*l**2 + 28*l**2 + 26 - 8*l + 38*l - 4*l**2 - 6*l**3. Let p(y) = y**3 - 8*y**2 - 6*y - 5. Let c(j) = -11*p(j) - 2*w(j). Is 10 a factor of c(-7)?
True
Let m = -630 + 1062. Does 55 divide m?
False
Suppose v = 5*v + 8, -80 = -5*n + 5*v. Suppose 2*g + 4 = n, -g = 2*c - 193. Is 22 a factor of c?
False
Let d(z) = 7*z + 1. Suppose 5*i - 59 = -4. Let w be d(i). Suppose -5*t + 117 = -w. Is 8 a factor of t?
False
Let i(a) = -286*a**3 + 3*a + 2. Is i(-1) a multiple of 57?
True
Suppose 6*b - 3*b = 1764. Suppose b = -3*r + 9*r. Is r a multiple of 10?
False
Let a be (-1)/(-2) - 4/8. Suppose a = -11*l + 16*l - 20. Suppose -d - 43 = -2*i, 0 = i - l*i + 2*d + 63. Is 16 a factor of i?
False
Let s(j) = -3*j - 1. Let m(z) = 4*z + 1. Let d(h) = -4*m(h) - 5*s(h). Let k be d(4). Let a(f) = -2*f**3 - 2*f**2 + 5*f + 3. Does 16 divide a(k)?
False
Is 28/98 - 2518/(-7) a multiple of 72?
True
Suppose -1 = -t + 3, 0 = -3*h + 3*t + 348. Is 6 a factor of h?
True
Suppose 7712 - 663 = 19*l. Is l a multiple of 8?
False
Suppose 8*k = -0*k - 1312. Let y = -98 - k. Is 17 a factor of y?
False
Let w be (-2)/(-2*(-1)/(-8)). Is 16 a factor of (-8)/w*33*-1?
False
Let k(d) = 8*d**2 + 9*d - 56. Does 5 divide k(9)?
False
Suppose 3*v - v = 3*i + 106, 2*i = -2*v + 106. Let w = 78 + -47. Suppose v + w = 6*m. Does 7 divide m?
True
Does 6 divide (-88)/(-15) - ((-176)/165)/8?
True
Let n(q) = 26*q + 43. Is 11 a factor of n(3)?
True
Suppose -2*g - 5*h + 27 = 0, g + 4*h - 15 = h. Suppose k = 4*k. Let y = g + k. Is y a multiple of 2?
True
Let w = 539 - -148. Is 23 a factor of w?
False
Suppose -18*r + 84 = -204. Does 8 divide r?
True
Does 14 divide (-1)/(3*6/(-5598))?
False
Suppose 4807 = 19*v - 361. Is 34 a factor of v?
True
Let d = 3 - 0. Suppose 8*w = d*w + 15. Suppose -9 = -w*f + 18. Does 2 divide f?
False
Suppose -17220 = 110*j - 120*j. Does 21 divide j?
True
Let u = -11 - -74. Suppose -u = -2*g - g. Is g a multiple of 4?
False
Suppose -77 = -2*g - 5*t, 10 - 155 = -4*g - t. Let f = g + 13. Is 7 a factor of f?
True
Suppose 3*l = -92 + 902. Does 11 divide l?
False
Suppose 2*w - 3*w = -170. Suppose g + g - w = 0. Let n = g + -54. Does 7 divide n?
False
Let j(b) = -29*b - 71. Does 15 divide j(-7)?
False
Let a(t) be the first derivative of t**4/4 + t**2/2 - 2*t - 5. Suppose 0 = -4*y + 5 + 3. Does 4 divide a(y)?
True
Suppose -355 = -10*r + 175. Is 14 a factor of r?
False
Suppose -4*g + 0*a + 11 = 3*a, 9 = 5*g - a. Suppose -3*y = g*y + 185. Let w = 113 + y. Is w a multiple of 19?
True
Suppose -57 = 4*n + c, -5*c - 14 = -n - 2. Let p(u) = -12*u**2 + 2 - u**3 - 2 + 5*u + 2*u - 5. Does 22 divide p(n)?
False
Let z = -1 - -3. Suppose -3*t = -2*y + 60, -z*t - 4*y - 78 = t. Is (-2196)/(-99) + 4/t a multiple of 7?
False
Let u(h) = 7*h**2 + 1. Let z be 4/5 + 2/10. Suppose -z = -0*m - m. Is 8 a factor of u(m)?
True
Suppose -14 = -4*k - 6. Suppose -5*z + k*z - 331 = -5*p, 5*p + 5*z - 315 = 0. Is 13 a factor of p?
True
Does 27 divide 560/7*140/25?
False
Let d = -24 + 49. Suppose d = 16*y - 39. Does 4 divide y?
True
Let a = 692 + -302. Is 20 a factor of a?
False
Let q(t) = 5*t**2 + 4*t + 5. Suppose 0 = -4*o - 17 - 3. Let w be q(o). Suppose -3*g + 7*d - 2*d + 42 = 0, w = 5*g + 5*d. Is g a multiple of 7?
False
Suppose -2*b + 0*b = -212. Let n be (1 - 13/(-3))/(1/(-12)). Let g = b + n. Is 6 a factor of g?
True
Let l = 3 + 1. Suppose 0 = l*j + 3 - 19. Suppose -38 - 18 = -2*i - j*m, 122 = 4*i + 3*m. Does 16 divide i?
True
Let o(q) = -24*q - 171. Is 22 a factor of o(-20)?
False
Let p(d) = d**3 - 7*d**2 + d - 3. Suppose 0 = 2*o - 25 + 11. Let s be p(o). Suppose n + 19 = x, n = -s + 2. Is 10 a factor of x?
False
Let z = -6 + 10. Suppose 3*q = -x + 96, -q - 469 = -z*x + 4*q. Is x a multiple of 21?
False
Let d(q) = 2*q**2 - 5*q + 6. Let o be d(5). Let x = -82 + 60. Let z = x + o. Does 3 divide z?
True
Let g = -1450 + 2259. Suppose -3*p + g = t, 110 = p + 4*t - 156. Does 45 divide p?
True
Let r(z) = -33*z**2 + 25*z - 10. Let j be r(-6). Is (-17)/(-85) - j/10 a multiple of 7?
False
Let t(w) be the second derivative of 89*w**4/12 - w**2/2 + 6*w. Let s be t(1). Let p = 123 - s. Does 10 divide p?
False
Let z be (-7)/(-28) - 15/(-4). Suppose -4*l - 3*t + 18 = -l, 0 = -z*t + 4. Suppose l*s - 313 = -88. Does 13 divide s?
False
Suppose 3*n + 1327 = c, -12*n = -4*c - 9*n + 5353. Is c a multiple of 57?
False
Let h = 1068 + -706. Is h a multiple of 10?
False
Let h(n) = -n**2 - 2*n - 2. Let a be h(-3). Let d = 6 - a. Is 6 a factor of d?
False
Let w be 20/9 + 6/(-27). Let k = 16 + -12. Suppose -w*d - 48 = -k*d. Is 24 a factor of d?
True
Let n(u) = 46*u**2 + u - 24. Is n(3) a multiple of 80?
False
Suppose 0*z = -g - z - 74, -g + 5*z - 56 = 0. Let y = 226 + g. Does 18 divide y?
False
Suppose -11*j + 7*j = 20, 5*l - 3305 = 5*j. Is 41 a factor of l?
True
Suppose -4*k - 29 = d, 3*k + 5 = 3*d + 2. Let q be (-104)/(-24) - (-2)/k. Suppose -r - 24 = -q*r. Is r a multiple of 3?
False
Let c(f) = -f**2 - 12*f + 2. Let a be c(-12). Suppose 2*d + 327 = -5*k, -k + 357 = -a*d + 4*k. Let h = -103 - d. Is 17 a factor of h?
True
Does 2 divide (216/(-10) - -12)/((-2)/10)?
True
Suppose -22*n - 70 = -17*n. Is ((-12)/n)/(4/56) a multiple of 6?
True
Suppose 3*t - 74 - 226 = 0. Suppose -7*r = 4*n - 5*r - 168, -t = -2*n - 5*r. Is n a multiple of 20?
True
Let b(q) = q**3 + 8*q**2 + 3*q + 20. Let o be b(-8). Let x be o/28 - 44/(-14). Suppose 164 + 4 = x*c. Does 18 divide c?
False
Let o(n) = -n**2 - 5*n - 4. Let p be o(-3). Suppose -p*g + 30 = 5*v, 5*g - 35 = -5*v + 25. Is 9 a factor of (-4)/(-20) - (-138)/g?
False
Let n = 1 + 5. Let g(r) = 6*r**2 - 18*r - 8. Is 20 a factor of g(n)?
True
Let u = 1 - 12. Let y = 15 + u. Is 4 a factor of y?
True
Let k = 152 + -109. Is 13 a factor of k?
False
Let g = -10 - -13. Suppose 0 = 2*m + m + 4*t - 167, g*m = -t + 161. Suppose 67 = 5*f - m. Is f a multiple of 6?
True
Suppose 0 = 3*l - l + 14. Let k(o) = -o**3 - 7*o**2 + 4. Let y be k(l). Suppose 0 = -0*a + y*a - 164. Is 19 a factor of a?
False
Let i(l) be the third derivative
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(147)*2)*-6)**2 + -3 + 3 + 1 + (sqrt(147) + 1 + -3)**2.
4676*sqrt(3) + 22104
Simplify (sqrt(3) + (sqrt(75) + -2)**2 - sqrt(189)/sqrt(7)) + ((-3*sqrt(6))/sqrt(2) + (4 + sqrt(3))*-1)**2.
10*sqrt(3) + 143
Simplify 6*((sqrt(104)/(-2*sqrt(968)))**2 + -3) - ((3*sqrt(117) - sqrt(117))*-4)/(sqrt(9) - sqrt(576)*-2).
-4317/242 + 8*sqrt(13)/17
Simplify ((sqrt(5103) - 1*sqrt(5103))/(sqrt(324)*-2) + -4 + (sqrt(28)*3)/sqrt(4) + -1)*-6.
-18*sqrt(7) + 30
Simplify ((sqrt(76) + sqrt(76) + -3*(sqrt(76) - sqrt(76)*5))/sqrt(4)*1 - ((sqrt(76)*-2 - sqrt(76))*3)/((-2*sqrt(4) - sqrt(4))*6 + sqrt(4)))**2.
996379/289
Simplify (5*-2*sqrt(288) - (-4 + (sqrt(288) - 1*sqrt(288)) - sqrt(288)))**2 + 1*(-3*sqrt(128))**2.
-864*sqrt(2) + 24496
Simplify (1*sqrt(15)/(2*sqrt(245))*-6*-5*6)**2*5.
121500/49
Simplify 1*((-6*sqrt(117)/(sqrt(9)*1 + sqrt(9)) + sqrt(52)/(-1*sqrt(576)))**2 + 4).
18373/144
Simplify (-5*-5*(1*sqrt(91)*2 + sqrt(91)))/(sqrt(21)/(sqrt(3) + sqrt(3) + sqrt(24)/sqrt(8)) - (sqrt(448)*-3 - sqrt(448))).
225*sqrt(13)/97
Simplify -3*(2 + 6*-6*(0 + 4 + -5 + sqrt(1088)))**2.
-4234476 + 65664*sqrt(17)
Simplify (-1*5*(2*(1 + -1 + sqrt(112)) - (-2*sqrt(112)*5 - (4 + sqrt(112) + 1 + sqrt(112) + sqrt(112))))*-3)**2.
135000*sqrt(7) + 5675625
Simplify ((sqrt(324)/(sqrt(144) - sqrt(9)))/sqrt(6)*5)/(-1*sqrt(75) + sqrt(24)/sqrt(72)).
-5*sqrt(2)/14
Simplify ((1 + -5*(sqrt(7) + sqrt(63)) + 3)*-4 + (sqrt(28) + sqrt(280)/(sqrt(80)/sqrt(8) + sqrt(10)))/(2*sqrt(324) - sqrt(324)))**2.
-7696*sqrt(7)/3 + 1628743/36
Simplify ((2*sqrt(110)*-2 - ((sqrt(110) - sqrt(110)*2)*5 - sqrt(110)))*6)/((sqrt(10) + sqrt(160))*2*3*-2)*4.
-4*sqrt(11)/5
Simplify -1*2*((-1 + (-2 + sqrt(98) - sqrt(98))**2)*-4 - (1 + sqrt(98) + sqrt(98)*2 + -4)).
18 + 42*sqrt(2)
Simplify -2 + (5*(sqrt(52) - sqrt(52)*-3) - sqrt(832)*1)/(sqrt(196)*3 - 6*sqrt(4)*-1).
-2 + 16*sqrt(13)/27
Simplify (1*(sqrt(2205)*-2 - sqrt(2205) - sqrt(2205)))/(1*(2*sqrt(81))/sqrt(9))*5.
-70*sqrt(5)
Simplify (2*6*4*(0 + (sqrt(1053) - (sqrt(1053) - (0 + -2*sqrt(1053))) - sqrt(1053)))*-4)**2.
349360128
Simplify (-5*(-1 + sqrt(300)*2 + sqrt(300) + sqrt(300) + sqrt(300) + 3 + 3 + sqrt(300)) + 3 + 4)**2.
10800*sqrt(3) + 270324
Simplify (sqrt(2160) - -5*(sqrt(2160) + sqrt(2160) + -1*sqrt(2160) + sqrt(2160)))/(-1*(1*sqrt(132))/sqrt(11)) + -3.
-66*sqrt(5) - 3
Simplify ((sqrt(168)/(2*sqrt(7)))/((sqrt(8) + sqrt(24)/sqrt(3))*1) - ((2*sqrt(99))/sqrt(11) - sqrt(9))/(-2*sqrt(12)/sqrt(4)))*-6.
-9*sqrt(3)/2
Simplify (-6*(sqrt(85) + sqrt(85)*-1)*4)/(sqrt(40)/(sqrt(288) + sqrt(288)*2 + sqrt(288)))*4.
0
Simplify -1*((sqrt(133) + (sqrt(133) + (-2*sqrt(133) - sqrt(133)))*3 - (1*sqrt(133) - sqrt(133))*2)/(sqrt(112)*2 - (sqrt(7) - sqrt(140)/sqrt(5))) + -5)**2.
-2500/81 - 50*sqrt(19)/9
Simplify (-2*(-3*sqrt(85)*1 + sqrt(85)*-1*-5))/((3*sqrt(40)/sqrt(4))/(sqrt(14)/sqrt(63)))*6.
-8*sqrt(17)/3
Simplify ((3*2*sqrt(288) - sqrt(288)) + sqrt(288) + 4*(-1*sqrt(288))**2 - 5*(1 + (1 + sqrt(288) - sqrt(288)))**2) + -1.
72*sqrt(2) + 1131
Simplify 5 + (1*sqrt(513))/sqrt(588)*-3 + 4.
-9*sqrt(19)/14 + 9
Simplify (-4 + sqrt(80) - 3*(sqrt(5) + 0))**2 + (5*(sqrt(5) + 1) - (sqrt(20)/sqrt(4) + -4)) - ((-2*sqrt(40)/sqrt(4))/(sqrt(2) + (sqrt(18) + sqrt(2))*2))**2*4.
-4*sqrt(5) + 2350/81
Simplify (0 + (sqrt(38)*-2)/sqrt(2) + -2 + sqrt(76)/(sqrt(180)/sqrt(5)))**2.
20*sqrt(19)/3 + 511/9
Simplify (-1*(1 + sqrt(99)*-3 + -5)*3*-3*4*-2)**2.
373248*sqrt(11) + 4701888
Simplify 6*(4 + ((sqrt(60) + sqrt(120)/sqrt(2) - sqrt(60))/sqrt(5))/sqrt(4) + sqrt(3)*2 + sqrt(3) + 2 + sqrt(21)/sqrt(7)*-5)**2.
-72*sqrt(3) + 234
Simplify ((-3 + sqrt(891) + 1 + 3)**2 - ((sqrt(891)*4)**2*2 + 4)) + -3 + -5.
-27632 + 18*sqrt(11)
Simplify -1*((sqrt(102) + (sqrt(102) - sqrt(102)*-1)*6 + 2*sqrt(102)*-5)/(2*1*sqrt(726)))**2.
-153/484
Simplify 4*(-3*sqrt(91)*3*6)/(sqrt(7)*2*-4 - sqrt(42)/sqrt(96)).
288*sqrt(13)/11
Simplify (3 + (sqrt(171) + sqrt(171) + sqrt(171)*3)*-1 + sqrt(171) + -2 + 4 + 3*sqrt(171)*3 + 4)**2.
270*sqrt(19) + 4356
Simplify (sqrt(320) + 2 - 3*sqrt(320)) + -2 + (1 + sqrt(125) + -4)**2.
-46*sqrt(5) + 134
Simplify -5 + (1*(2 + sqrt(108) + 0) - ((sqrt(108) + (sqrt(108) - 2*sqrt(108)))*-4 + (sqrt(108) - (0 + sqrt(108) + -1))))**2.
12*sqrt(3) + 104
Simplify ((sqrt(100)*2 - sqrt(100))/sqrt(5))/(sqrt(20)/(sqrt(2)*2)) + ((sqrt(216) + 1*sqrt(216))/sqrt(9))/((sqrt(72)*-2 - sqrt(72))/sqrt(6)) + 0.
4*sqrt(2)/3
Simplify ((sqrt(357)*-1*3)/(2*sqrt(7)*-3))/((sqrt(192)*-2 + (sqrt(48)*-1 - sqrt(48)))*4).
-sqrt(17)/192
Simplify ((((sqrt(60) - sqrt(60)*2)*-4)/(sqrt(216)*-1))/(6*(sqrt(405)*1 + sqrt(405)) + sqrt(405) + (sqrt(405) - -6*(sqrt(405) + 1*sqrt(405)))))**2.
2/123201
Simplify 2 + ((sqrt(245) + 1 + -1 - -2*-1*sqrt(245))**2 - (sqrt(80)*-1 + (sqrt(40)/sqrt(2)*-4 + sqrt(20) - sqrt(20))**2)).
-73 + 4*sqrt(5)
Simplify ((3 + (2 + sqrt(288))*-6 + -1 + sqrt(288) + 2 + sqrt(288) + -5)*6*-2)**2.
179712*sqrt(2) + 687888
Simplify 4*(1 + 4*(4*(sqrt(243) + -5*sqrt(243) + 4) + -4)*4)**2.
-3557376*sqrt(3) + 63849988
Simplify (-1 + -4 + -2 + (-6*1*sqrt(891)*4 - (2 + (sqrt(891) - (-3 + -1 + sqrt(891))))) + 1)**2.
5184*sqrt(11) + 513360
Simplify -6*(1 + 4*4*(-4*(sqrt(99) + sqrt(99) + 1 + sqrt(99)) - (0 + 1 + sqrt(99) + sqrt(99) - sqrt(99))))**2 + 4.
-25736258 - 591552*sqrt(11)
Simplify -2*(3 + -4*(sqrt(1100)*1 - sqrt(1100)) - (-3*2*sqrt(121) + sqrt(121) + sqrt(121))/(sqrt(22)/sqrt(2)*-3))**2.
-514/9 + 16*sqrt(11)
Simplify 3 + (5 + sqrt(245) + -5 + -4 + ((sqrt(245) + -1)*-5 - (sqrt(245) + 1 + -3 + sqrt(245))))**2 + -3.
-252*sqrt(5) + 8829
Simplify (0 + (sqrt(1100) + 0)*1 - (1 + sqrt(1100) + 3 + -3))**2.
1
Simplify (sqrt(3264)*6 - sqrt(51) - (sqrt(1275)*-1 - sqrt(51)))/(sqrt(192) - -3*sqrt(192)*-4 - sqrt(192) - sqrt(192)) + 5.
-53*sqrt(17)/104 + 5
Simplify (2*sqrt(65)*-1)/(sqrt(5) - (sqrt(55) - sqrt(880))/sqrt(11)) + ((-2*sqrt(156) - sqrt(156))*2)/(sqrt(72)/(sqrt(96) + sqrt(6))).
-61*sqrt(13)/2
Simplify (-5*(-4 + (-1 + sqrt(1088))*6*6 - ((sqrt(1088) - (sqrt(1088) + -1)) + -1 + sqrt(1088) + (sqrt(1088) + 0)*6 + -5)))**2.
-406000*sqrt(17) + 22905825
Simplify (-3 + -6*(sqrt(704)*-2 + 2 + sqrt(704)) - (0 + sqrt(704) + 1 + -2 + (sqrt(704) - (sqrt(704) + 0)))*-5)**2*3.
-10560*sqrt(11) + 256752
Simplify -6*(sqrt(396) + 2 + sqrt(396) + 1 + -3 + 2 + sqrt(396) - ((0 + sqrt(396))*-2 + (2 + sqrt(396))*-6 + sqrt(396)))**2.
-238776 - 10080*sqrt(11)
Simplify 4 + (3*1*sqrt(363)*1 - ((sqrt(363) + -1)*6 + sqrt(363) + -1))**2.
-616*sqrt(3) + 5861
Simplify 3*(sqrt(7)*-1 + -5 + sqrt(7) + sqrt(847) + 1 + 5) + 5 + (-1 + (sqrt(448) - (sqrt(448) + sqrt(448) + 1))*6)**2.
705*sqrt(7) + 16185
Simplify (-3*(4 + 1*(sqrt(833) + 0 + sqrt(833)*-1 + sqrt(833) + -2*sqrt(833)*-1)*-6)*-1)**2.
-9072*sqrt(17) + 2429172
Simplify 4*(-2 + (-2*sqrt(132)*1 + -2*sqrt(132)*2)/((1*sqrt(108)*-1)/sqrt(9))).
-8 + 24*sqrt(11)
Simplify (2 + (4 + sqrt(175)*-2 + sqrt(175) - (1 + sqrt(175))*3 - (-1*sqrt(175) + -4 + 2*sqrt(175) + 3)) + -1)**2.
-150*sqrt(7) + 4384
Simplify -2 + (6*(4 + -3 + -2*(1 + sqrt(99)) + 2))**2 + 5.
-432*sqrt(11) + 14295
Simplify -5*((sqrt(66)/(3*((sqrt(3)*3 - sqrt(3)) + sqrt(3))))/(sqrt(12)/(sqrt(24)/sqrt(4))*3))**2.
-55/729
Simplify ((-3*-2*sqrt(196))/(sqrt(128) + sqrt(128) + sqrt(128) + (-6*(1*sqrt(128) + sqrt(128)) + sqrt(128) + sqrt(128) - sqrt(128)) + sqrt(128))*-5)**2.
225/8
Simplify 2*((-3 + -1 + sqrt(1053) + -4)*3 + -2 + (sqrt(1053) - (-2*sqrt(1053) + -2))*-4)**2.
11016*sqrt(13) + 172898
Simplify (sqrt(130) + sqrt(130)*2*-2 - (sqrt(130) + (sqrt(130) - sqrt(130)*-2*4)))/(sqrt(240)/sqrt(6) + (sqrt(160) - -2*sqrt(160)) + sqrt(160)) + 1.
-13*sqrt(13)/18 + 1
Simplify -5*sqrt(3564)*-4*1 - (2*(sqrt(3564) + 1 - sqrt(3564))*1)**2.
-4 + 360*sqrt(11)
Simplify (-4 + (sqrt(637) - (-1 + sqrt(637) + -2)) + 2 - (-4 + ((sqrt(832) + 1 + sqrt(832) - sqrt(832))*2 - sqrt(832)) + -3))**2.
-96*sqrt(13) + 868
Simplify ((2*sqrt(800))/((sqrt(28)*-3)/sqrt(7)) + 5 + -2 + sqrt(14)/(sqrt(14)/sqrt(2) + sqrt(7))*-5)**2.
-55*sqrt(2) + 3187/18
Simplify -2*((sqrt(1944) + -1*sqrt(1944))*-2*2)/(sqrt(588)*2 + sqrt(588) + 3*(sqrt(12) + sqrt(12)*-1)).
0
Simplify (-6*(sqrt(500) + 2) - 6*sqrt(500)*-3 - (3 + -4 + sqrt(5)*-1 - sqrt(55)/(1*sqrt(11)*1)))**2.
-2684*sqrt(5) + 74541
Simplify (sqrt(2700) - (4 + (-1*sqrt(2700))**2)) + (sqrt(2187) - ((sqrt(243) + 5*sqrt(243))**2 + sqrt(3))) + -2.
-11454 + 56*sqr
|
{
"pile_set_name": "DM Mathematics"
}
|
many minutes are there between 2:47 PM and 5:43 PM?
176
What is 429 minutes before 6:50 AM?
11:41 PM
How many minutes are there between 8:33 PM and 11:25 PM?
172
What is 655 minutes after 4:19 PM?
3:14 AM
What is 293 minutes after 12:39 AM?
5:32 AM
What is 387 minutes before 7:32 PM?
1:05 PM
What is 235 minutes before 11:27 AM?
7:32 AM
How many minutes are there between 7:09 AM and 8:59 AM?
110
How many minutes are there between 8:45 PM and 7:24 AM?
639
How many minutes are there between 4:21 AM and 4:23 AM?
2
How many minutes are there between 1:52 PM and 11:28 PM?
576
What is 530 minutes after 9:44 PM?
6:34 AM
What is 130 minutes before 3:21 PM?
1:11 PM
How many minutes are there between 9:15 AM and 5:17 PM?
482
What is 578 minutes after 9:23 AM?
7:01 PM
How many minutes are there between 2:01 AM and 9:13 AM?
432
What is 171 minutes after 7:31 AM?
10:22 AM
How many minutes are there between 6:31 PM and 7:30 PM?
59
What is 685 minutes after 7:52 PM?
7:17 AM
What is 564 minutes after 10:04 AM?
7:28 PM
How many minutes are there between 2:09 AM and 2:20 AM?
11
What is 231 minutes after 11:45 AM?
3:36 PM
What is 166 minutes before 8:42 PM?
5:56 PM
How many minutes are there between 7:22 PM and 6:37 AM?
675
What is 702 minutes before 1:25 AM?
1:43 PM
What is 264 minutes after 3:18 PM?
7:42 PM
How many minutes are there between 1:29 AM and 1:39 AM?
10
How many minutes are there between 6:45 PM and 2:32 AM?
467
How many minutes are there between 10:32 PM and 2:03 AM?
211
What is 430 minutes after 3:52 AM?
11:02 AM
What is 679 minutes after 12:46 PM?
12:05 AM
How many minutes are there between 2:32 AM and 2:34 AM?
2
What is 217 minutes before 12:41 AM?
9:04 PM
What is 373 minutes after 11:00 PM?
5:13 AM
How many minutes are there between 9:24 AM and 9:57 AM?
33
What is 265 minutes after 5:39 PM?
10:04 PM
How many minutes are there between 3:44 PM and 9:26 PM?
342
What is 667 minutes before 10:30 AM?
11:23 PM
What is 405 minutes after 9:32 AM?
4:17 PM
How many minutes are there between 6:09 AM and 9:20 AM?
191
How many minutes are there between 2:52 AM and 11:05 AM?
493
What is 655 minutes before 5:13 AM?
6:18 PM
What is 295 minutes before 10:13 AM?
5:18 AM
What is 50 minutes before 4:09 AM?
3:19 AM
How many minutes are there between 5:22 PM and 11:15 PM?
353
What is 507 minutes before 7:22 PM?
10:55 AM
What is 688 minutes after 2:26 AM?
1:54 PM
What is 303 minutes before 2:09 PM?
9:06 AM
What is 662 minutes after 6:29 AM?
5:31 PM
What is 699 minutes after 7:36 PM?
7:15 AM
How many minutes are there between 2:09 PM and 10:19 PM?
490
What is 667 minutes before 8:50 AM?
9:43 PM
How many minutes are there between 11:23 PM and 7:17 AM?
474
What is 186 minutes after 2:37 PM?
5:43 PM
What is 92 minutes after 6:12 PM?
7:44 PM
How many minutes are there between 4:56 PM and 7:11 PM?
135
How many minutes are there between 4:10 AM and 11:46 AM?
456
What is 27 minutes before 7:30 PM?
7:03 PM
How many minutes are there between 8:50 PM and 10:51 PM?
121
How many minutes are there between 5:38 PM and 3:48 AM?
610
What is 678 minutes after 3:45 PM?
3:03 AM
What is 493 minutes before 4:23 PM?
8:10 AM
What is 582 minutes before 5:07 AM?
7:25 PM
What is 145 minutes after 4:48 AM?
7:13 AM
What is 419 minutes before 9:47 AM?
2:48 AM
What is 173 minutes before 8:25 PM?
5:32 PM
How many minutes are there between 12:14 PM and 4:26 PM?
252
What is 586 minutes before 10:53 AM?
1:07 AM
What is 56 minutes before 10:57 PM?
10:01 PM
What is 240 minutes after 2:34 PM?
6:34 PM
What is 467 minutes after 11:13 AM?
7:00 PM
How many minutes are there between 9:56 PM and 3:49 AM?
353
How many minutes are there between 5:29 PM and 4:47 AM?
678
What is 707 minutes before 9:02 AM?
9:15 PM
What is 581 minutes after 3:52 PM?
1:33 AM
What is 128 minutes before 1:54 PM?
11:46 AM
How many minutes are there between 2:32 AM and 3:24 AM?
52
How many minutes are there between 3:04 AM and 5:26 AM?
142
How many minutes are there between 1:19 PM and 3:03 PM?
104
What is 480 minutes before 9:50 AM?
1:50 AM
What is 96 minutes after 5:22 AM?
6:58 AM
How many minutes are there between 1:06 AM and 2:53 AM?
107
How many minutes are there between 6:51 AM and 9:41 AM?
170
How many minutes are there between 10:05 PM and 2:11 AM?
246
How many minutes are there between 4:42 AM and 9:47 AM?
305
What is 137 minutes after 11:44 PM?
2:01 AM
How many minutes are there between 10:50 PM and 2:54 AM?
244
How many minutes are there between 5:42 AM and 2:40 PM?
538
What is 524 minutes after 1:20 PM?
10:04 PM
What is 610 minutes after 4:13 AM?
2:23 PM
How many minutes are there between 5:31 AM and 10:23 AM?
292
What is 386 minutes after 7:41 PM?
2:07 AM
What is 97 minutes after 11:03 AM?
12:40 PM
What is 42 minutes before 11:47 AM?
11:05 AM
How many minutes are there between 10:00 PM and 2:26 AM?
266
How many minutes are there between 4:52 PM and 6:30 PM?
98
What is 467 minutes before 10:16 AM?
2:29 AM
What is 141 minutes after 2:57 PM?
5:18 PM
What is 491 minutes after 11:17 PM?
7:28 AM
How many minutes are there between 4:31 AM and 2:42 PM?
611
What is 159 minutes before 11:34 PM?
8:55 PM
What is 97 minutes after 11:51 AM?
1:28 PM
How many minutes are there between 3:39 PM and 7:42 PM?
243
What is 526 minutes before 7:55 PM?
11:09 AM
What is 91 minutes before 8:30 AM?
6:59 AM
What is 41 minutes after 5:13 AM?
5:54 AM
How many minutes are there between 7:43 PM and 1:42 AM?
359
How many minutes are there between 10:52 PM and 5:31 AM?
399
What is 148 minutes after 4:01 PM?
6:29 PM
What is 244 minutes before 9:39 AM?
5:35 AM
What is 374 minutes after 4:01 PM?
10:15 PM
What is 60 minutes before 2:14 PM?
1:14 PM
What is 154 minutes before 3:47 AM?
1:13 AM
What is 677 minutes before 12:12 PM?
12:55 AM
How many minutes are there between 6:33 PM and 8:39 PM?
126
How many minutes are there between 7:53 PM and 5:11 AM?
558
What is 253 minutes before 3:42 PM?
11:29 AM
How many minutes are there between 10:45 PM and 5:13 AM?
388
What is 315 minutes before 1:50 AM?
8:35 PM
How many minutes are there between 12:00 PM and 9:30 PM?
570
How many minutes are there between 5:46 AM and 9:03 AM?
197
What is 223 minutes after 9:40 PM?
1:23 AM
What is 496 minutes before 1:04 AM?
4:48 PM
What is 704 minutes after 2:39 AM?
2:23 PM
What is 291 minutes before 5:48 AM?
12:57 AM
How many minutes are there between 4:30 PM and 6:14 PM?
104
How many minutes are there between 2:37 PM and 3:36 PM?
59
What is 617 minutes after 1:00 AM?
11:17 AM
What is 670 minutes after 4:23 AM?
3:33 PM
How many minutes are there between 7:40 PM and 8:51 PM?
71
How many minutes are there between 5:21 PM and 4:41 AM?
680
How many minutes are there between 1:28 AM and 4:34 AM?
186
How many minutes are there between 5:16 AM and 10:57 AM?
341
What is 139 minutes after 1:46 AM?
4:05 AM
What is 367 minutes after 12:50 PM?
6:57 PM
What is 155 minutes after 11:28 PM?
2:03 AM
How many minutes are there between 6:19 PM and 2:43 AM?
504
What is 207 minutes before 5:51 PM?
2:24 PM
How many minutes are there between 2:26 AM and 10:08 AM?
462
How many minutes are there between 12:52 PM and 5:04 PM?
252
What is 51 minutes before 11:47 AM?
10:56 AM
What is 634 minutes after 12:02 AM?
10:36 AM
How many minutes are there between 4:36 PM and 4:56 PM?
20
How many minutes are there between 12:36 AM and 1:25 AM?
49
What is 4 minutes after 11:21 PM?
11:25 PM
What is 315 minutes before 1:30 PM?
8:15 AM
What is 572 minutes after 9:35 AM?
7:07 PM
How many minutes are there between 11:59 PM and 8:07 AM?
488
What is 121 minutes after 4:00 AM?
6:01 AM
How many minutes are there between 9:22 PM and 7:17 AM?
595
What is 322 minutes before 1:40 PM?
8:18 AM
What is 687 minutes after 8:40 AM?
8:07 PM
What is 328 minutes before 1:38 PM?
8:10 AM
What is 291 minutes after 2:47 PM?
7:38 PM
What is 568 minutes after 12:39 AM?
10:07 AM
What is 398 minutes after 1:21 AM?
7:59 AM
How many minutes are there between 2:35 PM and 11:51 PM?
556
What is 685 minutes before 5:14 AM?
5:49 PM
How many minutes are there between 11:08 PM and 4:31 AM?
323
What is 251 minutes after 5:00 PM?
9:11 PM
How many minutes are there between 4:54 AM and 4:31 PM?
697
How many minutes are there between 1:35 AM and 7:29 AM?
354
What
|
{
"pile_set_name": "DM Mathematics"
}
|
58, 406, 574, 768, 994?
1258
What is the next term in -45, -58, -87, -138, -217, -330, -483, -682?
-933
What comes next: -202, -206, -212, -220, -230, -242, -256?
-272
What is the next term in -9, -14, -21, -30, -41, -54?
-69
What comes next: -10695, -21389, -32083, -42777, -53471?
-64165
What is the next term in -2, -44, -150, -350, -674?
-1152
What is next in -350, -702, -1054, -1406, -1758, -2110?
-2462
What is the next term in 26, 43, 60, 77?
94
What is next in 97, 100, 105, 112?
121
What comes next: 110, 195, 268, 323, 354, 355?
320
What comes next: 214, 196, 164, 112, 34, -76, -224?
-416
What comes next: 278, 554, 830, 1106, 1382, 1658?
1934
What is next in 10, 22, 34, 46?
58
What is the next term in -6, 18, 42, 66?
90
What is next in 4, 10, 8, -2, -20, -46?
-80
What comes next: -1104, -1102, -1102, -1104?
-1108
What is next in -626, -617, -606, -593?
-578
What is next in 91, 85, 89, 109, 151, 221, 325?
469
What comes next: 6, 143, 378, 717, 1166, 1731, 2418, 3233?
4182
What is next in -24, -14, 10, 54, 124, 226, 366, 550?
784
What is next in 1745, 1755, 1777, 1817, 1881?
1975
What comes next: 105, 88, 55, 0, -83?
-200
What comes next: -16, -3, 24, 71, 144?
249
What comes next: 2496, 2492, 2486, 2478?
2468
What is the next term in -404, -401, -398?
-395
What is next in -2, -31, -88, -179, -310, -487?
-716
What comes next: -2, -18, -34, -50?
-66
What is the next term in -14, -30, -50, -74, -102, -134?
-170
What is the next term in -84, -75, -66, -57, -48?
-39
What comes next: -1386, -2775, -4164?
-5553
What comes next: -22, -42, -62, -82?
-102
What comes next: 384, 396, 408, 420, 432, 444?
456
What is the next term in -38, -54, -54, -32, 18?
102
What is the next term in -137, -475, -1013, -1751?
-2689
What comes next: 188, 257, 328, 401, 476, 553, 632?
713
What comes next: 370, 371, 372?
373
What is next in -103, -4, 169, 422, 761, 1192, 1721?
2354
What is the next term in 914, 3656, 8226, 14624, 22850?
32904
What is the next term in -39, -62, -85, -108, -131, -154?
-177
What comes next: -3, 12, 33, 54, 69, 72?
57
What is the next term in 0, -4, -10, -18, -28?
-40
What comes next: 128, 245, 368, 503, 656?
833
What comes next: 46, 139, 378, 835, 1582, 2691, 4234, 6283?
8910
What is the next term in -32, -29, -24, -17?
-8
What comes next: -917, -1832, -2747, -3662, -4577, -5492?
-6407
What is the next term in -188, -171, -140, -89, -12, 97, 244, 435?
676
What is the next term in 18, 40, 82, 150, 250, 388, 570, 802?
1090
What comes next: -28, -51, -78, -109, -144, -183?
-226
What comes next: 563, 566, 569, 572, 575?
578
What is the next term in 282, 1115, 2504, 4449, 6950, 10007?
13620
What is the next term in 30, 25, -2, -63, -170, -335, -570?
-887
What comes next: -259, -260, -261, -262, -263, -264?
-265
What is the next term in 529, 524, 515, 502?
485
What is the next term in -39, 30, 115, 222, 357, 526, 735?
990
What is the next term in 173, 243, 311, 377, 441, 503, 563?
621
What is the next term in -55, -110, -165, -220?
-275
What is next in -120, -234, -326, -384, -396, -350, -234, -36?
256
What is the next term in -88, -706, -2380, -5638, -11008, -19018?
-30196
What comes next: 1123, 1136, 1137, 1120, 1079, 1008, 901, 752?
555
What is the next term in -104, -87, -42, 43, 180, 381, 658?
1023
What is next in -137, -226, -315, -404, -493?
-582
What is the next term in 107, 207, 305, 401, 495?
587
What comes next: 101978, 101977, 101976?
101975
What comes next: 89, 173, 255, 335, 413, 489, 563?
635
What is the next term in 69, 612, 2089, 4968, 9717, 16804?
26697
What is next in 15, 27, 53, 99, 171, 275, 417, 603?
839
What comes next: 315, 310, 305, 300, 295?
290
What comes next: 32, 60, 102, 164, 252?
372
What is the next term in 243, 255, 281, 327, 399, 503?
645
What is next in -68, -73, -82, -95, -112, -133?
-158
What is next in 308, 613, 914, 1211?
1504
What comes next: 35, 31, 27, 23, 19?
15
What is next in 2723, 5448, 8171, 10892?
13611
What comes next: 296, 288, 266, 224, 156, 56, -82, -264?
-496
What is next in -1, -73, -201, -391, -649, -981, -1393?
-1891
What comes next: -1777, -1787, -1809, -1849, -1913, -2007?
-2137
What comes next: 190, 383, 576, 769, 962?
1155
What comes next: -16151, -32300, -48449, -64598?
-80747
What comes next: -35, -23, -11, 1, 13, 25?
37
What is the next term in 42, 58, 64, 54, 22, -38?
-132
What is the next term in 249, 507, 771, 1041, 1317, 1599?
1887
What is the next term in 5, 9, 11, 11, 9, 5, -1?
-9
What is the next term in 6, 12, 40, 102, 210, 376, 612?
930
What comes next: 11, 18, 17, -4, -57?
-154
What comes next: -663, -1367, -2099, -2853, -3623, -4403, -5187?
-5969
What is next in -32, 1, 86, 247, 508, 893?
1426
What is next in 27, 76, 165, 300, 487?
732
What is the next term in 2, 213, 794, 1931, 3810, 6617?
10538
What is the next term in -1361, -1351, -1339, -1325?
-1309
What is next in 45, 383, 1295, 3069, 5993, 10355, 16443?
24545
What is next in 1282, 1272, 1250, 1210, 1146, 1052, 922?
750
What is next in 295, 300, 309, 322, 339, 360, 385?
414
What comes next: -189, -125, -73, -39, -29, -49, -105, -203?
-349
What comes next: -54, -69, -84?
-99
What is the next term in -105, -890, -3029, -7200, -14081, -24350, -38685?
-57764
What is next in -634, -633, -632?
-631
What is next in 19, 25, 31, 37, 43, 49?
55
What comes next: -62, -101, -140?
-179
What is the next term in 134, 168, 202, 236?
270
What is next in -3, -212, -569, -1080, -1751?
-2588
What is the next term in -571, -2257, -5067, -9001?
-14059
What is next in 0, -61, -228, -555, -1096?
-1905
What is the next term in -22, 42, 106, 170?
234
What is the next term in 91, 25, -41?
-107
What comes next: -7, -16, -31, -52?
-79
What is next in 56, 66, 90, 134, 204, 306, 446, 630?
864
What is the next term in 288, 550, 786, 984, 1132, 1218, 1230?
1156
What is the next term in 749, 1503, 2265, 3035?
3813
What comes next: 221, 218, 213, 206, 197, 186?
173
What comes next: -4, -4, 6, 32, 80, 156?
266
What comes next: 3562, 3555, 3538, 3505, 3450?
3367
What is next in -6, -8, -14, -24?
-38
What comes next: -26, -69, -160, -317, -558, -901?
-1364
What is next in 152, 135, 120, 107, 96, 87, 80?
75
What is next in 383, 391, 397, 401?
403
What is next in -782, -785, -790, -797, -806?
-817
What comes next: 104, 186, 268, 350, 432, 514?
596
What is the next term in 340, 578, 816?
1054
What is next in -15, -47, -75, -93, -95?
-75
What is the next term in -93, -67, -3, 117, 311, 597?
993
What is the next term in 7729, 7727, 7725, 7723, 7721, 7719?
7717
What comes next: 37, 52, 85, 142, 229?
352
What comes next: 11, 27, 45, 65?
87
What is next in -2094, -2096, -2098, -2100, -2102?
-2104
What comes next: 358, 354, 348, 340, 330, 318, 304?
288
What is the next term in 13235, 13238, 13243, 13250, 13259?
13270
What comes next: -9, -12, -15?
-18
What is the next term in 8, 34, 78, 140, 220, 318, 434?
568
What is next in 64, 269, 618, 1117, 1772, 2589, 3574, 4733?
6072
What is the next term in 25, 8, -23, -74, -151, -260?
-407
What is the next term in -50, -40, -18, 22, 86, 180, 310, 482?
702
What is next in 969, 1936, 2903, 3870, 4837?
5804
What is next in 11498, 11495, 11490, 11483, 11474, 11463?
11450
What is next in 4891, 4890, 4889?
4888
What comes next: 34, 43, 30, -5, -62, -141?
-242
What is next in -244, -505, -770, -1039, -1312?
-1589
What comes next: -53, 57, 167, 277, 387, 497?
607
What is the next term in 46, 80, 114, 148, 182?
216
What comes next: 142, 554, 1242, 2206, 3446, 4962?
6754
What is the next term in -397, -393, -387, -379?
-369
What comes next: -9, -43, -87, -147, -229, -339, -483, -667?
-897
What is the next term in -39, -74, -109, -144?
-179
What comes next: -18707, -18708, -18709, -18710, -18711?
-18712
What is the next term in 63, 95, 149, 225, 323?
443
What comes next: 608, 621, 636, 653, 672, 693?
716
What is next in -37, -140, -303, -520, -785, -1092, -1435, -1808?
-2205
What is the next term in -94, -91, -88?
-85
What is the next term in -7779, -15556, -23333?
-31110
What comes next: -70, -178, -320, -496, -706, -950, -1228?
-1540
What comes next: -4, 23, 118, 317, 656, 1171, 1898?
2873
What comes next: 65, 134, 203, 272, 341?
410
What comes next: -390, -798, -1206?
-1614
What comes next: 352, 350, 352, 358?
368
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
35)
Suppose 10*s**4 + 45375*s**3 + 22650*s**2 - 158825*s - 136110 = 0. What is s?
-4537, -3/2, -1, 2
Factor -5*n**3 + 245*n**2 - 1960*n - 4940.
-5*(n - 38)*(n - 13)*(n + 2)
Find y, given that -2*y**5/3 - 4*y**4/3 + 52*y**3/3 + 104*y**2/3 - 50*y/3 - 100/3 = 0.
-5, -2, -1, 1, 5
Let -3*p**2/5 + 65913*p + 329568/5 = 0. Calculate p.
-1, 109856
Let 2*y**2 - 2100*y - 34112 = 0. Calculate y.
-16, 1066
Find p such that 23513*p**2 + 23512*p - 1 = 0.
-1, 1/23513
Solve -52*u**4 + 2300*u**3 - 20380*u**2 + 37140*u - 19008 = 0.
1, 16/13, 9, 33
Suppose -3*s**2 - 140766*s + 140769 = 0. What is s?
-46923, 1
Determine q so that 476*q**2 + 4115*q/3 + 100/3 = 0.
-20/7, -5/204
Find a such that -a**2/4 - 1046*a - 2091 = 0.
-4182, -2
What is o in -2*o**4/9 - 10*o**3/9 + 22*o**2 - 158*o/9 - 364/9 = 0?
-13, -1, 2, 7
Determine g, given that -5*g**3 - 38895*g**2 - 1858320*g - 22265280 = 0.
-7731, -24
Factor -l**2 + 7614*l - 7613.
-(l - 7613)*(l - 1)
Factor 7*r**3/4 - 446*r**2 - 512*r.
r*(r - 256)*(7*r + 8)/4
Suppose -h**3 - 85*h**2 - 2387*h - 22103 = 0. Calculate h.
-31, -23
Find p, given that -100*p**3 - 3360*p**2 + 30652*p - 27192 = 0.
-206/5, 1, 33/5
Find z, given that -5*z**4 + 495*z**3 - 15120*z**2 + 157120*z - 522240 = 0.
8, 32, 51
Factor n**3 - 773*n**2 - 1558*n + 6200.
(n - 775)*(n - 2)*(n + 4)
Solve -359*v**5 + 5011*v**4/2 + 40313*v**3/2 + 17652*v**2 + 360*v = 0 for v.
-4, -1, -15/718, 0, 12
Suppose 3*n**2 + 2076*n - 21060 = 0. What is n?
-702, 10
What is a in 2*a**4 - 4850*a**3 + 19370*a**2 - 4830*a - 29052 = 0?
-1, 2, 3, 2421
Factor 2*x**3/11 - 16*x**2 + 672*x/11.
2*x*(x - 84)*(x - 4)/11
Solve -4*i**3/5 - 18328*i**2/5 - 36644*i/5 - 3664 = 0.
-4580, -1
What is t in -2*t**3/3 - 5964*t**2 + 2*t/3 + 5964 = 0?
-8946, -1, 1
Solve -3*q**4/2 + 3517*q**3 - 46787*q**2/2 + 31568*q - 11690 = 0.
2/3, 1, 5, 2338
Determine z, given that 196*z**3 + 448*z**2 + 284*z + 32 = 0.
-8/7, -1, -1/7
Determine m so that -10*m**3/11 - 5591*m**2/11 - 17257*m/11 - 11676/11 = 0.
-556, -21/10, -1
Determine h, given that 3*h**2/4 + 5733*h/2 + 11454 = 0.
-3818, -4
Factor 130696*u**3 + 407836*u**2 + 335392*u + 26508.
4*(31*u + 47)**2*(34*u + 3)
Factor u**2/9 - 97630*u/9 - 21696.
(u - 97632)*(u + 2)/9
Factor -2*l**3 + 186*l**2 + 157584*l + 12964232.
-2*(l - 361)*(l + 134)**2
Factor 2*b**2 - 30214*b + 90624.
2*(b - 15104)*(b - 3)
What is j in 20*j**5/3 - 2278*j**4/3 + 10838*j**3/3 - 17092*j**2/3 + 9608*j/3 - 1744/3 = 0?
2/5, 1/2, 2, 109
Suppose 8*s**2/9 + 15268*s/9 + 38120/9 = 0. Calculate s.
-1906, -5/2
What is g in 2*g**3 + 8774*g**2 - 140768*g + 563584 = 0?
-4403, 8
Factor g**5 - 231*g**4 - 92662*g**3 - 8380478*g**2 - 239523339*g - 231235291.
(g - 469)*(g + 1)*(g + 79)**3
Factor 12*q**4 - 7700*q**3 + 1233924*q**2 + 412164*q.
4*q*(q - 321)**2*(3*q + 1)
Let d**5 + 416*d**4 - 18*d**3 - 7488*d**2 + 81*d + 33696 = 0. What is d?
-416, -3, 3
Let 2*h**4/7 + 180*h**3/7 + 2176*h**2/7 + 3648*h/7 = 0. Calculate h.
-76, -12, -2, 0
Solve 5*p**4 - 2385*p**3 + 62715*p**2 + 65105*p = 0 for p.
-1, 0, 29, 449
Factor -2*w**5/3 - 268*w**4/3 + 542*w**3/3 - 272*w**2/3.
-2*w**2*(w - 1)**2*(w + 136)/3
Determine a so that 2*a**5/13 - 612*a**4/13 + 45248*a**3/13 + 612*a**2/13 - 45250*a/13 = 0.
-1, 0, 1, 125, 181
Suppose 20*q**3 + 1406*q**2 - 1000*q - 426 = 0. What is q?
-71, -3/10, 1
Let 2*l**5 + 106*l**4 + 294*l**3 - 4834*l**2 - 1208*l + 17640 = 0. Calculate l.
-49, -9, -2, 2, 5
What is p in 3*p**2/5 - 10182*p/5 - 20376/5 = 0?
-2, 3396
Find q such that -2*q**5 - 66*q**4 - 620*q**3 - 1260*q**2 + 622*q + 1326 = 0.
-17, -13, -3, -1, 1
Factor -50187*y**2/2 + 50181*y/2 + 3.
-3*(y - 1)*(16729*y + 2)/2
Determine c so that 21*c**5 + 235*c**4 - 296*c**3 - 1036*c**2 + 848*c + 384 = 0.
-12, -2, -1/3, 8/7, 2
Let 12*r**5 - 81*r**4 - 1146*r**3 + 8100*r**2 - 5400*r = 0. Calculate r.
-10, 0, 3/4, 6, 10
Suppose -3*j**2/8 + 68427*j/8 + 34215/4 = 0. What is j?
-1, 22810
What is j in -j**5/5 + 24*j**4/5 + 54*j**3 + 172*j**2 + 1011*j/5 + 396/5 = 0?
-4, -3, -1, 33
Determine d so that 5*d**4 + 8535*d**3 - 60*d**2 - 102340*d + 136560 = 0.
-1707, -4, 2
Factor 4*n**4 - 4112*n**3 - 41436*n**2 - 87192*n.
4*n*(n - 1038)*(n + 3)*(n + 7)
Let 12*o**4 + 3248*o**3 + 213960*o**2 - 835152*o - 5780852 = 0. What is o?
-137, -11/3, 7
Suppose 4*j**2 - 2288*j - 191216 = 0. Calculate j.
-74, 646
Factor -s**2/4 + 3747*s/4 + 4690.
-(s - 3752)*(s + 5)/4
Find y such that -4*y**5/3 - 256*y**4/3 + 1652*y**3/3 - 1984*y**2/3 - 1648*y/3 + 2240/3 = 0.
-70, -1, 1, 2, 4
Suppose 3*z**3 + 3668*z**2 - 4900*z - 4896 = 0. What is z?
-1224, -2/3, 2
Let -252*v**3 + 97584*v**2 - 23212*v - 3096 = 0. What is v?
-2/21, 1/3, 387
Factor r**3/2 - 353*r**2/2 - 1997*r - 1820.
(r - 364)*(r + 1)*(r + 10)/2
Solve 5*m**5 - 230*m**4 - 725*m**3 - 490*m**2 = 0 for m.
-2, -1, 0, 49
Let r**4/2 - 35*r**3 - 222*r**2 - 452*r - 304 = 0. What is r?
-2, 76
Find c such that 2*c**3/13 - 1194*c**2 + 170520*c/13 - 155000/13 = 0.
1, 10, 7750
Factor 4*i**3/3 - 244*i**2 + 8156*i/3 + 2964.
4*(i - 171)*(i - 13)*(i + 1)/3
Factor 9207*o**2 - 10167*o - 70.
(9*o - 10)*(1023*o + 7)
Factor o**2/3 + 35*o/3 - 5662.
(o - 114)*(o + 149)/3
Factor h**2/5 - 11649*h/5 - 34956/5.
(h - 11652)*(h + 3)/5
Suppose -j**2/3 - 53*j + 160/3 = 0. Calculate j.
-160, 1
Find k such that -k**3/4 + 136*k**2 - 19028*k + 143648 = 0.
8, 268
Factor 6*i**3 - 113*i**2/4 - 265*i/4 + 57/2.
(i + 2)*(3*i - 19)*(8*i - 3)/4
Suppose -2*h**3/3 + 1378*h**2 - 20632*h/3 + 8248 = 0. What is h?
2, 3, 2062
Factor -5*k**3 - 2835*k**2 + 20030*k - 34440.
-5*(k - 4)*(k - 3)*(k + 574)
Let 2*m**5 - 30*m**4 - 2684*m**3 - 7728*m**2 = 0. What is m?
-28, -3, 0, 46
Factor 2*g**4 + 802*g**3 + 13182*g**2 + 48222*g - 62208.
2*(g - 1)*(g + 9)**2*(g + 384)
What is l in -4*l**2 - 18792*l + 188320 = 0?
-4708, 10
Solve -18*d**4 + 1777*d**3 + 6003*d**2 + 1530*d = 0 for d.
-3, -5/18, 0, 102
Solve -2*h**2 - 1324652*h - 219337865138 = 0.
-331163
Factor 2*g**3/5 + 522*g**2/5 + 206*g - 1554/5.
2*(g - 1)*(g + 3)*(g + 259)/5
Determine h so that 3*h**3/5 - 51*h**2/5 - 10947*h/5 + 65559 = 0.
-65, 41
Factor b**2 + 447*b/11 + 850/11.
(b + 2)*(11*b + 425)/11
Let -b**5 - 1506*b**4 + 24288*b**3 - 97408*b**2 = 0. Calculate b.
-1522, 0, 8
Factor 5*i**4 + 860*i**3 + 53780*i**2 + 1444800*i + 14112000.
5*(i + 30)**2*(i + 56)**2
Factor 2*z**2/7 + 820*z/7 - 47022/7.
2*(z - 51)*(z + 461)/7
Factor 50*g**4/3 - 130630*g**3/3 + 26122*g**2 - 78362*g/15 + 5224/15.
2*(g - 2612)*(5*g - 1)**3/15
Find n, given that -9*n**4 - 403206*n**3 - 268791*n**2 + 403206*n + 268800 = 0.
-44800, -1, -2/3, 1
Factor 4*f**2 - 2748*f + 10928.
4*(f - 683)*(f - 4)
Determine a, given that -4*a**4/5 + 1232*a**3/5 + 3724*a**2/5 + 2488*a/5 = 0.
-2, -1, 0, 311
Determine v so that -2*v**3/13 - 6366*v**2/13 - 5049792*v/13 + 25408360/13 = 0.
-1594, 5
Solve 2*t**3 - 7554*t**2 + 7144182*t - 21364614 = 0.
3, 1887
Factor v**5/6 - 149*v**4/6 - 153*v**3 - 926*v**2/3 - 620*v/3.
v*(v - 155)*(v + 2)**3/6
Solve 3*q**5/4 - 21*q**4/2 - 219*q**3/4 + 21*q**2/2 + 54*q = 0.
-4, -1, 0, 1, 18
Find a such that 5*a**5 + 5*a**4 - 260*a**3 + 220*a**2 + 480*a = 0.
-8, -1, 0, 2, 6
Let -4*i**5 - 14152*i**4 + 198640*i**3 - 965624*i**2 + 1846740*i - 1065600 = 0. Calculate i.
-3552, 1, 3, 5
Factor 2*c**3/15 - 25028*c**2/15 + 78300098*c/15.
2*c*(c - 6257)**2/15
Determine l so that -52*l**3 - 404*l**2 - 600*l = 0.
-75/13, -2, 0
Find g such that 1805*g**4 - 88255*g**3 + 77335*g**2 + 8875*g + 240 = 0.
-1/19, 1, 48
Determine f, given that 6*f**5/5 - 12322*f**4/5 + 1636*f**3 + 65668*f**2/5 + 57478*f/5 + 12318/5 = 0.
-1, -1/3, 3, 2053
Solve 2*r**4/11 + 11778*r**3/11 + 23522*r**2/11 - 153042*r/11 + 117740/11 = 0.
-5887, -5, 1, 2
Factor -3*x**5 + 51*x**4 - 264*x**3 + 216*x**2 + 1296*x - 1296.
-3*(x - 6)**3*(x - 1)*(x + 2)
Factor 2*z**2/21 + 186400*z/21 + 186398/21.
2*(z + 1)*(z + 93199)/21
Determine u so that -20*u**4 + 294485*u**3 - 662520*u**2 + 441665*u - 73610 = 0.
1/4, 1, 14722
Suppose 2*b**4/7 + 439444*b**3 + 1577072379240*b**2/7 + 269512732866582900*b/7 - 269514309942038250/7 = 0. Calculate b.
-512685, 1
Factor -4*m**3 - 424*m**2 + 29200*m - 56672.
-4*(m - 46)*(m - 2)*(m + 154)
Factor -2*t**3/5 + 466*t**2 + 2340*t.
-2*t*(t - 1170)*(t + 5)/5
Factor -z**3/3 + 25*z**2/3 + 494*z/3.
-z*(z - 38)*(z + 13)/3
Factor 5*o**3 - 83905*o**2 - 5*o + 83905.
5*(o - 16781)*(o - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
5). Let q be (-2)/3 + 306/p. Solve 7*v = q*v + 2 for v.
1
Suppose -13 = -2*t - 1. Let q(k) = 2*k**2 - 15*k + 7. Let l be q(8). Solve -t*v + v = -l for v.
3
Let k(t) = t**2 + 5*t - 3. Let z be (-1)/(3/(21 + -3)). Let f be k(z). Let a be 6*((-10)/4 + f). Solve a*w = w for w.
0
Suppose -2*p - 37 = -2*l - 9, 4*l = 5*p + 61. Let g be (0 - 2) + (-3 - -12). Suppose g*r - 2*r = 3*d + 26, -5*d - 22 = -3*r. Solve -r*m + l*m + 5 = 0 for m.
-1
Let f be (3/9)/(2/24). Suppose -2*l = i - 3*l, -f*i = 5*l - 18. Solve -b = -0*b + i for b.
-2
Let g be 0/(-3 + 9 - 5). Solve g*n = -7*n + 35 for n.
5
Let g be (-9 - (10 + -15))/(-1). Solve 23 = g*c + 31 for c.
-2
Let f = 634 - 626. Solve -20 = -f*o + 4*o for o.
5
Let l(j) = -j**2 - 3*j + 7. Let n(t) = t**2 + 7*t - 14. Let v(p) = -5*l(p) - 3*n(p). Let s be v(2). Solve w + 2 = s for w.
1
Let p = 1 - -2. Suppose 2*i = -2*h + 10 + 2, 26 = 5*i + p*h. Let n be i*((-21)/12 + 3). Solve f = n*f + 12 for f.
-3
Let l be -2*((-36)/8 - -2). Suppose -2*d - 12 = 3*d - 3*n, 0 = -l*d - 2*n + 8. Suppose d = -o - 4*t + 4, -2*o + 0 - 1 = -t. Solve -10 = -5*j - o*j for j.
2
Let s = 1452 - 1452. Solve s = -33*i + 38*i + 20 for i.
-4
Suppose -11*l - 10 + 241 = 0. Suppose -5*j + 4 = -l. Solve j*f + 17 = -8 for f.
-5
Let b(u) = -12*u - 66. Let j be b(-7). Solve -j = s + 5*s for s.
-3
Suppose -w - 4 = 0, -4*k + 12 = -2*k + w. Solve -5*x - k = -3*x for x.
-4
Suppose -3*d + 3 - 15 = -4*z, -2*z = -5*d - 20. Solve z = -10*p + 31 + 19 for p.
5
Suppose -3*b + 2*f + 0*f + 44 = 0, 4*f + 28 = b. Suppose -3*h - b = w, -2*w - h - 2 = -w. Solve -2*a + w*a = -5 for a.
-5
Let b(i) = -3*i**2 + 20*i + 9. Let p be b(7). Suppose -p*l = -6*l + 12. Solve 3 - 18 = -l*z for z.
5
Suppose 5*k - 213 = -73. Solve -k = 15*v + 17 for v.
-3
Let t be 170/50 - (-2)/(-5). Suppose 35 = 5*g - 10. Let r = g - 9. Solve -f - t*f = r for f.
0
Let f be 2/(-10) + ((-768)/40)/(-1). Solve 10*j - f = 21 for j.
4
Suppose 4*z + 57 = 4*b - 99, -4*z + 159 = 5*b. Let d be (-4)/(-14) - (-165)/b. Solve -5*r + d = -0 for r.
1
Let h = 0 - 1. Let k be (-19 + 6)*(0 - h). Let x = k - -18. Solve 0*o = x*o for o.
0
Suppose 5*q + 0*q = 10. Suppose -q*p = 2*d + 2, -2*d - 3*d - 2*p = 5. Let h = 1 + d. Solve h = 4*j - 2*j for j.
0
Let q(u) = -2*u**2 - 18*u + 140. Let f be q(-14). Solve f = -b - 10 + 10 for b.
0
Let c(r) = -11*r**2 + 3*r + 24. Let o = -5 + 10. Let g(f) = 7*f**2 - 2*f - 16. Let n(l) = o*c(l) + 8*g(l). Let j be n(-4). Solve -5*u + j = -u for u.
3
Let h = 109 + -49. Suppose x - h = -3*x. Solve 6*u = u - x for u.
-3
Let h(s) = -8*s - 30. Let c(n) = 8*n + 29. Let k(v) = 5*c(v) + 6*h(v). Let q be k(-5). Solve 0 = -b - 0 + q for b.
5
Suppose i - 2 = 3. Suppose -21*j - 38 = -143. Let f = i - j. Solve t + 3*t = f for t.
0
Let i(b) = 34*b - 336. Let k be i(10). Solve k*q = 10*q - 30 for q.
5
Let n be -26 + 6 + -4 + -1. Let t = n - -28. Solve 0*c - t = -c for c.
3
Suppose -1426 = -145*l + 99*l. Solve -47 + l = -4*d for d.
4
Suppose -366*k + 356*k = -120. Solve t + k = -3*t for t.
-3
Let p be (12 - (-5)/(-5)) + -1. Solve -p = -4*w + 6 for w.
4
Let t be -1*(-4)/(-16)*-164. Let r = 43 - t. Solve a + 3 = -r for a.
-5
Let u = -126 - -126. Suppose x + u*x = -p, -4 = -p + x. Solve 0 = -p*f + 6*f for f.
0
Suppose -2*x = -4*x. Let q = 27 + -16. Let j = q + -1. Solve -j = -x*b - 2*b for b.
5
Let c(i) = i + 10. Let o be c(14). Suppose 6 = -22*t + o*t. Solve t*y = -2*y for y.
0
Let n(p) = p**2 - 1. Let o be n(2). Suppose -3*z - 5*s = -37, 0*z - 2*s + 26 = 4*z. Suppose -2*f + 15 = o*t, -z*f + f - 4*t = -25. Solve 1 = 4*r - f for r.
4
Let v be 7*(-3 - 27/(-21)). Suppose -4*d - 6 + 38 = 0. Let n be v/((60/d)/(-5)). Solve n - 3 = -b for b.
-5
Let h = 154 - 220. Let t be h/(-15) - 4/10. Solve 0*f = -t*f + 12 for f.
3
Suppose 34 = 3*v - 8. Let o be 568/14 - (-6)/v. Suppose -n = -5*i + o, -1 = 2*n + 1. Solve i*u = 3*u - 20 for u.
-4
Let s(j) = -9*j - j**2 + 52 - 22 - 14 - 17. Let r be s(-8). Solve -r*t + 2*t + 20 = 0 for t.
4
Suppose 390*a - 383*a - 35 = 0. Solve -a*l + 8 = -7 for l.
3
Suppose -8 = -2*g, 0 = -a + 5*g - 4 - 8. Suppose -3*b + 47 = -2*s, -b - 41 = 2*s + 2*b. Let n = s + 29. Solve 0 = 5*q + a + n for q.
-3
Let d be ((-1)/((-4)/(-16)))/(-2). Suppose -p = -w - d, -2*w = -3*w - 3*p + 18. Suppose 0 = -5*b + 38 - 13. Solve -w*g + 8 = -b*g for g.
-4
Suppose 32*u - 57 - 7 = 0. Solve -6 = -0*x - u*x for x.
3
Let o = -88 + 153. Let i be o/26 + (-2)/(-4). Let g = -1 - -1. Solve g*b = -i*b - 15 for b.
-5
Let x(g) = -7*g - 7. Let a be x(-2). Let v = -19 + 28. Solve 4*u + v + a = 0 for u.
-4
Let o = 1174 - 1161. Solve 18 = -o*c + 83 for c.
5
Let i = 108 + -88. Let s = i + -12. Solve -3*h + h = -s for h.
4
Let r(p) = -6*p + 8. Let j(u) = 4*u - 5. Let i(a) = -8*j(a) - 5*r(a). Let y be i(0). Solve y = -0*n - 3*n - 15 for n.
-5
Suppose 20 = 4*r + 4*o, 5*o + 7 = 37*r - 34*r. Solve 0 = r*h + 5 + 3 for h.
-2
Suppose 5*l = l + 52. Suppose 17*g - 36 = l*g. Solve 0*j + 3*j - g = 0 for j.
3
Let t = -11 + -1. Let d be 4*(-3)/t + 2. Suppose d*z = z. Solve 8 = 2*j - z*j for j.
4
Let w = -123 - -123. Suppose 4*c + 2*t - 10 = 2*c, -5*t - 7 = -3*c. Solve w = -f - c - 1 for f.
-5
Let l = -4 + 4. Suppose n = 5, -4*o + 4*n - 73 = -n. Let c = -7 - o. Solve -c*h = -l*h for h.
0
Let q(f) = f**3 + 13*f**2 - 16*f - 26. Let n = -13 + -1. Let k be q(n). Solve 2 = -k*x - 0*x for x.
-1
Suppose 7*v + 5 + 247 = 0. Let b = v + 46. Solve -5*h - b = -35 for h.
5
Let l = -119 + 122. Solve -l*y = 2*y + 5 for y.
-1
Suppose w - 14 = -3*g - g, -3*w + 3*g - 3 = 0. Suppose w*v - 1 = 1. Let k be 33/9 + ((-42)/9 - -5). Solve v = k*c - 7 for c.
2
Let i(h) = -h**3 - 6*h**2 - 6*h - 3. Let o be -5*(-2)/(-4)*2. Let g be i(o). Suppose -7 = 2*u - 1, g*u + 18 = 3*f. Solve f*d = -0*d + 12 for d.
3
Suppose -4*x + 5*l - 2 = -0*x, -x - 4*l + 10 = 0. Suppose -x*u + w + 2*w = -4, 0 = -4*w. Solve -2 = -u*b - 0*b for b.
1
Suppose 2*i + 20 = 3*f - 0*f, 20 = -5*i. Let l be f + -1 + -2 + 1. Solve -3*n - 1 = -l*n for n.
-1
Let i be (-1)/3 + (-1)/(-3). Suppose -3*y - 2*r + 4 = 0, 49*y - 4*r - 12 = 50*y. Suppose 15 = 3*v + 4*s - 45, 0 = 2*v - 5*s - 63. Solve y*t + 8 - v = i for t.
4
Let r be (-53)/(-10) + (-315)/1050. Solve -r*a + 13 = 3 for a.
2
Let m(z) = -4*z + 32. Let x be m(9). Let n be -4 + x*(-4 + 3). Let j(q) = q**3 + q**2 + 6. Let v be j(0). Solve n = -v*b + b - 25 for b.
-5
Suppose 3*o + 9 = 3*r, -3*o + 5*r - 2 = -1. Let t(b) = 3*b + 24. Let v be t(o). Solve 5*z + 2 = -v for z.
-1
Let t = 1 + 12. Let l = 13 - t. Suppose l = -5*v - v + 24. Solve -5*u + 6 + v = 0 for u.
2
Suppose -a - 2 = -o, -a - 111 = -118. Let d be (-22)/(-8) - 1/(-4). Solve -d*l + o = -0*l for l.
3
Let r be (-14 + -9)/(-2 + 1). Solve -r + 10 = 13*v for v.
-1
Suppose 4*b + 4 = -i, 3*b - 4 = b + i. Let n = b + 3. Solve -7*w = -n*w - 12 for w.
3
Let f(z) = z**2 - 1. Let x(v) be the first derivative of -4*v**3/3 - v**2/2 + 3*v + 3. Let p(w) = -3*f(w) - x(w). Let d be p(-1). Solve 6*a - a + 5 = d for a.
-1
Let v = 20 - 35. Let r be 2/6 + (-220)/v. Solve -r = -5*a + 10 for a.
5
Suppose 3*c - 7 = 164. Suppose 5*z - 3 = c. Solve x + z = -3*x for x.
-3
Let u = -100 - -140. Solve -u*j + 37*j - 12 = 0 for j.
-4
Let w(p) = p**2 - p. Let f be w(0). Suppose 2*y + f*g + 2*g = 0, 3*g = -4*y + 1. Let m be -3 + y + (-99)/(-9). Solve c - 4*c = m for c.
-3
Let w = 56 - 50. Solve -w*b + 0*b = 0 for b.
0
Suppose -3*m - 130 = -29*m. Solve 6*k = -m*k - 11 for k.
-1
Let r = -1 + 2. Suppose 6*s - 2375 = -2309. Solve 5*l = -s + r for l.
-2
Let d(i) = -i**3 - 6*i**2 - 5*i + 6. Let g be d(-5). Suppose -s = 2*s - 48. Let z be 3/(-2)*s/(-6). Solve -5*f + z + g = 0 for f.
2
Suppose 2*a + 4*h = -2, -7 = a - h - 21. Solve a*t + 2 = 7*t for t.
-1
Let d(k) = 6*k**2 + k - 1. Let x be d(-1). Suppose -30 + 15 = -5*s - 4*o, 4*s + o = 12. Solve -x*m + s = -1 for m.
1
Suppose 18*x - 6*x = 45*x + 104*x. Let l be 4/(-6)*-3*1. Solve x = -i + l - 0 for i.
2
Let i(o) = o**2 + 10*o + 20. Let b be i(-9). Solve -15 = 8*m - b*m for m.
5
Let n be (-7)/2*((-153)/(-63) - 11). Solve -19 = -11*l - n for l.
-1
Let p(h) = -h**3 + 5*h**2 + 27*h - 4. Let t be p(8). Solve 8*j + t = 52 for j.
4
Let n be (2*6/(-7))/(1/(-7)). Suppose 2*c + l = 8, 3*c - 5*l = -l + n. Solve o = -c*o for o.
0
Let r = -728 + 734. Solve 2 = r*k - 5*k for k.
2
Let b(n) = n**2 + n
|
{
"pile_set_name": "DM Mathematics"
}
|
96 (b) 1 (c) -0.5 (d) 2/3 (e) 5
e
What is the biggest value in 2, 71, -50/217?
71
Which is the third biggest value? (a) 3/7 (b) -24653 (c) -1/6
b
Which is the second biggest value? (a) 0 (b) -0.09 (c) -19 (d) -10 (e) 4
a
Which is the third biggest value? (a) -5.013 (b) 2 (c) 0.5
a
Which is the second biggest value? (a) 0.2 (b) 0.0755 (c) 3 (d) 2 (e) -13
d
Which is the third smallest value? (a) 0 (b) 1/98 (c) -1
b
Which is the fifth biggest value? (a) -12 (b) 0.058 (c) 1/6 (d) 0.5 (e) -443/4
e
Which is the second biggest value? (a) 3 (b) 0 (c) 2/9 (d) -0.12 (e) -4 (f) -0.2
c
Which is the fifth smallest value? (a) -9/25 (b) -4 (c) -3 (d) -4/13 (e) -38 (f) -0.5
a
What is the third biggest value in 3, -0.3, 0.176, -2, 28, -2/3?
0.176
Which is the biggest value? (a) 478 (b) 0 (c) -0.177
a
Which is the second biggest value? (a) -47083 (b) 0.3 (c) 0.02
c
Which is the fourth biggest value? (a) -1/799 (b) 320 (c) 1 (d) -1/8
d
Which is the fourth smallest value? (a) -12323 (b) 2/7 (c) -2 (d) -1
b
What is the fourth smallest value in 4, -239, -41, 5?
5
What is the fourth smallest value in 5/3, -6, 0.5, -39?
5/3
Which is the biggest value? (a) 0.3 (b) 2/11 (c) 35048 (d) -4
c
What is the biggest value in 1/15, 23, 90?
90
What is the second biggest value in 4, 3, -2, 0.0572, 0.1?
3
What is the smallest value in 15.09, 0.3, 0.4, -5, 3/7, -0.5?
-5
What is the third biggest value in 0, 0.3, 111860, -2?
0
What is the second biggest value in 0.4, -14/9, -8, 5/7?
0.4
What is the third biggest value in -3/7, 2/5, 0.7, -78, -3?
-3/7
What is the second biggest value in 1/6, 0.62, -7, 2271?
0.62
What is the third smallest value in -1/7, 15/19, -5/108, -1/9?
-5/108
Which is the third biggest value? (a) -0.04 (b) -3 (c) -1026 (d) -4 (e) 0.4
b
Which is the third smallest value? (a) -7.6 (b) -1/6 (c) 3 (d) -5
b
What is the fourth biggest value in 5, 3/17, -0.1, 328?
-0.1
Which is the smallest value? (a) -7.9 (b) 1/7 (c) -9.23 (d) 5
c
What is the fourth smallest value in -76, 0.2, 2, -41/4, -0.07?
0.2
Which is the biggest value? (a) -2 (b) -11 (c) -1270
a
What is the biggest value in -1/2, 0.006, 3, 15, 0.1, -1?
15
What is the smallest value in 1/7, 2/11, -0.4, -14, 0.4, 109?
-14
Which is the second smallest value? (a) -2/2711 (b) -4 (c) -1207
b
What is the third smallest value in 3/260, 5, 1/3, 0.3?
1/3
Which is the fourth biggest value? (a) 1/9 (b) -162748 (c) 5 (d) -2/3
b
What is the second biggest value in -0.12, 1000, -2?
-0.12
What is the second biggest value in -0.4, -5, 0.3, -890?
-0.4
Which is the smallest value? (a) -1 (b) -0.2 (c) -5 (d) 12 (e) 92
c
Which is the second biggest value? (a) -3/7 (b) -1080/13 (c) 13 (d) 3
d
Which is the second smallest value? (a) 2 (b) 11 (c) -387
a
Which is the third smallest value? (a) 29 (b) -0.05 (c) -0.57
a
What is the third biggest value in 5, 3, -0.063, -127?
-0.063
What is the second biggest value in -0.4835, 11, 0.1, 0.5?
0.5
Which is the second biggest value? (a) 0.2 (b) -324 (c) 449 (d) -4/7
a
What is the fourth smallest value in -55/23, -1, -0.4, -13, 2, 4?
-0.4
What is the second biggest value in 2.475, 50, 2?
2.475
Which is the second biggest value? (a) 2 (b) 1/4 (c) -4/999
b
Which is the smallest value? (a) 1/15 (b) -1 (c) -0.5 (d) 1/9 (e) -10 (f) -2
e
Which is the biggest value? (a) 5 (b) 0.09 (c) 0 (d) 4.5 (e) 0.6
a
What is the sixth biggest value in -4/5, -2, -6/11, 1/7, 1393, 3?
-2
Which is the fourth biggest value? (a) 2 (b) -2/7 (c) -10201 (d) -1/7
c
What is the second smallest value in 38, 16, -5, 3, 1?
1
What is the biggest value in 4/7, -5/698, -5?
4/7
What is the smallest value in -35/11, 110/9, -2, -4?
-4
Which is the third biggest value? (a) -1 (b) -179/3 (c) 3
b
What is the smallest value in 23, -1, 4, -0.3, 78, 3?
-1
What is the third biggest value in -7, -3, -5.1982?
-7
Which is the second biggest value? (a) 29 (b) 0.0143 (c) -2/13
b
Which is the smallest value? (a) 2 (b) -261 (c) -0.5 (d) 5 (e) 19 (f) 0.1
b
What is the biggest value in 276, -0.4, -8, 2/17?
276
Which is the biggest value? (a) 23 (b) -1.9 (c) -0.06
a
What is the second smallest value in -357/5, -4, -106?
-357/5
Which is the second biggest value? (a) 38/85 (b) 9 (c) 4
c
What is the fourth biggest value in 6, 271, -3, 3/5, 0?
0
What is the third smallest value in 0.915, 3, 1, 0.3, 3/7?
0.915
What is the third smallest value in -344, 5, 0.2, 1, -4?
0.2
Which is the second biggest value? (a) -8098 (b) 2/11 (c) -3
c
Which is the third biggest value? (a) 74/5 (b) -2.45 (c) -4 (d) -5
c
Which is the third smallest value? (a) -2/19 (b) -42 (c) -3 (d) 1/5 (e) 60
a
What is the second biggest value in 4/7, -4/11, 0.02, 2, -2/17?
4/7
What is the third smallest value in -3/2, 4, 31, -0.3, -0.19, 0.08?
-0.19
Which is the smallest value? (a) -0.3 (b) -0.4 (c) -2/9 (d) -1/7 (e) 7779
b
Which is the third smallest value? (a) 13 (b) -4 (c) -43 (d) -39
b
What is the second smallest value in -1/3, 0.5, 74/21, 5?
0.5
What is the third smallest value in -18.4, 1/468, 5?
5
What is the third biggest value in -2.468, -3, -8?
-8
Which is the smallest value? (a) 4/143 (b) 144 (c) -3
c
What is the second biggest value in -4, 9, 0.033, 0.2, 1?
1
What is the second biggest value in -81, 4, 83.3?
4
Which is the fourth biggest value? (a) -146 (b) 28 (c) 2 (d) -3 (e) -4
e
Which is the fourth smallest value? (a) 2 (b) 5 (c) -0.06 (d) -0.02 (e) 3/2
a
Which is the biggest value? (a) -2.5 (b) 5 (c) 28
c
What is the biggest value in 5, -2/5, -434132/9?
5
Which is the biggest value? (a) 0.5 (b) -0.5 (c) -1/4 (d) -4 (e) -50 (f) 2
f
Which is the biggest value? (a) 25 (b) 5 (c) -5 (d) 3 (e) -0.21
a
What is the second biggest value in -32, -2/63, -24?
-24
Which is the third biggest value? (a) 1 (b) -7 (c) 1/5 (d) -2 (e) -0.2
e
What is the fifth biggest value in -44, 2, 4, -3/8, -39?
-44
Which is the fourth smallest value? (a) -0.3 (b) -1 (c) -2.8 (d) 131
d
What is the third biggest value in 0, -120, -19?
-120
What is the fifth biggest value in -4, -23, 1/8, -42, -0.5, 0.046?
-23
Which is the third smallest value? (a) -0.2 (b) 2 (c) -0.1 (d) -16768
c
What is the second smallest value in 67, 103.4, 5, -2, 4?
4
Which is the third biggest value? (a) 0.3 (b) 410 (c) 4/269
c
Which is the second biggest value? (a) -6.09 (b) -33/5 (c) 3/10
a
What is the second biggest value in 57/40, 1/4, -2?
1/4
What is the second biggest value in 5, 208, -4, -5, 0.08, 3?
5
Which is the fourth biggest value? (a) 0 (b) -0.3 (c) 18 (d) 5 (e) 1/1164
a
What is the second biggest value in -40, 23/6, -3/64?
-3/64
What is the third biggest value in 9, 1, 0.00091?
0.00091
Which is the smallest value? (a) 109.91 (b) -3/2 (c) 3/5
b
Which is the third biggest value? (a) 21 (b) -26 (c) 14
b
Which is the third biggest value? (a) -179 (b) -388 (c) -1.9
b
Which is the fourth smallest value? (a) 1 (b) -21 (c) 0.1 (d) -0.4 (e) -9 (f) -2/13
f
Which is the second smallest value? (a) -2 (b) 4 (c) 212 (d) 15
b
What is the fourth smallest value in 0, 24, -1/5, 1, -4, 99?
1
Which is the third biggest value? (a) -293 (b) 13.6 (c) -5
a
Which is the third smallest value? (a) 1/5 (b) 3 (c) 72056/17
c
Which is the second smallest value? (a) 66 (b) 1.4 (c) 8 (d) -24/5
b
What is the smallest value in 3/176, 2, 5, -0.3, -4?
-4
Which is the biggest value? (a) 5 (b) 1 (c) 0.0095 (d) 0.1 (e) 2 (f) -0.3
a
What is the biggest value in 3/865, -0.3, -16, 0.01?
0.01
Which is the smallest value? (a) -790 (b) -2 (c) 1
a
Which is the third smallest value? (a) -57.3 (b) 2.1 (c) -6/7
b
Which is the fifth smallest value? (a) -459 (b) 0.4 (c) -3 (d) 4 (e) 3.9
d
Which is the smallest value? (a) 2 (b) 16 (c) 1 (d) 6440 (e) -2
e
What is the second biggest value in -2287, -0.3, -0.2, -5?
-0.3
What is the fifth smallest value in -2, -0.01, 21, 0.02, 0.5, 9?
9
Which is the third biggest value? (a) 1 (b) 4/3 (c) -4 (d) 0.01886
d
Which is the fourth smallest value? (a) 244 (b) -5 (c) 3/7 (d) 2/11 (e) -2.98
c
What is the fourth smallest value in 0.2, 1/521, 0.5, 0.01, 2/39, 2?
0.2
What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
9 = 0. Let n(m) = -m**3 + 3*m**2 + 5*m - 3. Let o be n(4). Let x(w) = 2*w + o - 3 + 0. Determine x(i).
6
Let g = -133/3 - -45. Let y(w) be the third derivative of -1/8*w**4 + 0*w + 1/60*w**5 + 0 - g*w**3 - 2*w**2. Determine y(5).
6
Let z be (-14)/21*(-15)/2. Suppose -2*p + p = -12. Suppose -3*w - j = -p, -z*w + 25 + 2 = 4*j. Let m(d) = d**2 - 4*d + 2. Determine m(w).
-1
Suppose -5*z = 3*s - 9, -s - 2 = -0. Let x(c) = -2*c**2 + 3*c - 2. Let y(r) = 10*r**2 - 15*r + 10. Let f(t) = 11*x(t) + 2*y(t). Calculate f(z).
-11
Let q(u) = -4*u + 20. Let p be q(6). Let t(n) = n**2 + 4*n + 6. Calculate t(p).
6
Let z(i) be the second derivative of -i**4/12 + 5*i**2/2 + 8*i. Suppose -2*u - 5*b + 18 = 0, 13 = -u - 0*u + 3*b. Let d be 0/2 + u + 1. Give z(d).
5
Let s(l) = -5*l - 3. Let v be 6/(-10) + 24/15. Suppose -3*b + 0*b = 4*c - 14, 0 = -c - 3*b - v. Let j be (4/6)/(c/(-15)). Determine s(j).
7
Suppose 2*k + 2 = -5*r, -k - 2 - 4 = 5*r. Suppose -3*w - 2*w + 16 = k*g, -2*w + 8 = 2*g. Let x = 0 - w. Let s(n) = -n**2 - n + 6. Give s(x).
6
Let v(u) = 3*u**2 + u + 0*u**2 - u**2. Let x(z) = 2*z + 5. Let r(b) = -b - 2. Let l(j) = -13*r(j) - 6*x(j). Let g be l(5). What is v(g)?
3
Let k(i) be the second derivative of -i**6/360 - i**5/120 - i**3/6 - 4*i. Let d(r) be the second derivative of k(r). What is d(0)?
0
Let d = 26 - 18. Let g(b) = b**2 - 9*b + 4. What is g(d)?
-4
Let m(t) be the first derivative of -t**3/3 + 4*t**2 - 12*t + 48. Determine m(8).
-12
Suppose -y + 5*y = 12. Let c be (y - 6)*16/(-3). Let q be c/4*(-1 - 0). Let h(l) = l**3 + 5*l**2 + 3*l - 1. Calculate h(q).
3
Suppose -12*c + 2 = -14*c. Let h(q) = -3*q. Calculate h(c).
3
Let t(c) = c**2 + 6*c + 5. Suppose 3*g = 3*y - 9, 3*g + 0 = -4*y - 2. Let n(m) = 2*m**3 - m + 1. Let v be n(y). Suppose z - 4 = v*z. Determine t(z).
-3
Let w(m) = 6*m + 4*m - 5*m - 1. Calculate w(-1).
-6
Let g(t) = 3*t**2 + 2*t + 1. Let r(f) = -f**3 + 9*f**2 + 13*f - 12. Let i be r(10). Let z = -19 + i. Calculate g(z).
2
Let t(c) = -c - 3. Suppose 2*y = -2*y - 20. Let d be t(y). Let b(o) = -o**2 - o + 2. What is b(d)?
-4
Let a(v) = -5*v - 5. Suppose 9*n = -15 - 39. Determine a(n).
25
Let w(q) be the second derivative of -q**3/6 - q**2/2 - 8*q + 1. Suppose 2*n - n = -5. Calculate w(n).
4
Let g(r) = r**3 - 21*r**2. Let o be g(21). Let a(s) = -s + 4. Calculate a(o).
4
Let w(x) = x**2 + 2*x - 2. Suppose 2*j + 10 = 3*z, -2*z - 3*j = -j. Let i(a) = 2*a**3 + 8*a**2 + 3*a - 5. Let g be i(-3). Suppose -g*k - 10 - z = 0. Give w(k).
1
Let v(w) = -w**3 - 6*w**2 + 3*w - 8. Let y be v(-7). Let u be (-7)/(-2) - (-10)/y. Let i(l) = -l**3 + 4*l**2 - 1. Give i(u).
-1
Let p(g) = -7*g**3 + 1 - 12*g**3 + 20*g**3 + g + 2*g + 3*g**2. What is p(-2)?
-1
Let t(h) be the third derivative of h**6/24 + h**5/60 - h**3/6 + 3*h**2. Let u = -3 + 4. Give t(u).
5
Let x(m) = m**3 + 5*m**2 - m - 4. Let v(h) = 4*h**3 - h**2. Let i be -4 - ((-3 - 1) + 1). Let r be v(i). Determine x(r).
1
Let g(q) = q**3 + 2*q**2 - 3*q**3 - 7 + 3*q**2 - 2*q + q**3. What is g(5)?
-17
Let o(n) = n**3 - 6*n**2 + 5*n - 2. Suppose 2*v + 31 = -5*l - 2*v, -5*l = -4*v - 1. Let p be 0 + (-9)/l + 2. Calculate o(p).
-2
Let b(m) be the third derivative of m**5/6 - m**4/24 + m**2. Let i(r) = r**3 + r + 1. Let j be i(-1). Determine b(j).
11
Let c = 16 - 22. Let i be 1*c*2/6. Let v be (-4 - -2)/(4/i). Let f(q) = -5*q**3 - q**2 - q + 1. Give f(v).
-6
Let z = 11 - 9. Suppose -4*v + 4 = -z*v. Let y(n) = 4*n**2 - 2*n**v - 6*n + 2*n**2 - 3*n**2. What is y(5)?
-5
Let o = 43 + -71. Let q be o/(-6) + (-2)/3. Let t(d) = 7*d**2 - 10*d + 5. Let c(n) = 15*n**2 - 21*n + 10. Let k(f) = -6*c(f) + 13*t(f). Give k(q).
5
Let u = 5 + 9. Let y be 4/(-8) + u/(-4). Let c(l) be the first derivative of l**3/3 + 2*l**2 + 3*l + 1. Give c(y).
3
Let l(i) = 16*i**2 + 2*i - 1. Let r(v) = -1. Let x(s) = -l(s) + 2*r(s). Give x(-1).
-15
Suppose -4 = -5*l + 1. Let x be 6 - (1 - (l + 1)). Let d(g) = 0*g - x*g + 4*g. Calculate d(4).
-12
Let m(u) = -2*u**2 + 2*u + 4. Suppose j = 4*j. Let g = 3 - j. Determine m(g).
-8
Let l(h) = -2*h + 2 - 4 + 7 - 2. Calculate l(5).
-7
Let k(l) = l - 3. Let m = 14 + -9. Determine k(m).
2
Let n(v) be the second derivative of -v**6/180 + v**5/60 + v**4/8 - v**3/6 - 3*v. Let r(m) be the second derivative of n(m). Determine r(-2).
-9
Let y(h) be the first derivative of -1 - 2*h + 1/2*h**2. Give y(-4).
-6
Let x(a) = -a**2 + 3*a + 2. Let r(v) = 4*v**2 - 12*v - 8. Let k(q) = -q**2 - 4*q + 3. Let u be k(2). Let w(m) = u*x(m) - 2*r(m). Determine w(3).
-2
Let u(d) be the second derivative of -d**5/5 + d**3/3 + d**2/2 - 2*d. Suppose 124*s = 133*s + 9. Give u(s).
3
Let k(i) = -i - 6 + 11*i**3 + 0*i + 2*i**3 - i**3 + 7*i**2. Let f(l) = -l**3 - l**2 + 1. Let t(u) = -6*f(u) - k(u). Give t(1).
-6
Let p(u) be the first derivative of -3*u**2/2 - 2*u + 4. Give p(-7).
19
Let v = -399 - -402. Let k(z) = -4 + 0 + 0 + 5*z. What is k(v)?
11
Let w(d) = 9 + 3*d + 5*d**2 + 3*d + 2*d**2 + 2*d**3 - 3*d**3. Determine w(8).
-7
Let q = 31 - 28. Let h(z) = 2*z - 1. What is h(q)?
5
Let g(y) = -y + 2. Let d = 7 + -2. Suppose d*i + 20 = -2*z, -z + 14 = i + 3*z. Let x be i/8 - (-52)/(-16). Determine g(x).
6
Suppose 3*m + 2 = 4*i, -2*m = -3*m + 2. Suppose 4*b = -14 - i. Let l(a) be the second derivative of a**3/3 + 3*a**2 - a. Determine l(b).
-2
Let p(o) = -3*o**3 + o**2 + 4*o + 3. Let f(y) = 4*y**3 - y**2 - 4*y - 4. Let b(j) = -2*f(j) - 3*p(j). Let x be (-6)/4 + 3/(-2). Let d = x + 6. Give b(d).
5
Let c(y) = -y**2 + 6*y - 5. Let p = -6 + 12. Give c(p).
-5
Let b be 0/2 - (-8 + 4). Let x(y) = y - 5. What is x(b)?
-1
Let c(a) = -a**2. Let p(h) = -3 - 4*h**2 + 3*h + 0*h**2 - 4. Let z(k) = -5*c(k) + p(k). Let n(r) = 4*r**3 - 1. Let m be n(-1). Calculate z(m).
3
Let b = 4 + -2. Let g = -6 + 9. Let j(d) = 4*d + 0*d + g - b*d. Give j(3).
9
Suppose 0 = 10*p - 7*p. Let l = p + 7. Let w(f) = f**2 - 8*f + 6. Give w(l).
-1
Let m(t) = t**2 + 8*t + 5. Let f = -36 + 19. Let d = f - -12. What is m(d)?
-10
Let w(b) = b - 12. Let q(i) = -i + 10. Let x(t) = 7*q(t) + 6*w(t). Determine x(8).
-10
Let j(g) = -g**2 - 6*g + 5. Suppose -5*z + 3 = 38. Give j(z).
-2
Let u(t) = -t**3 + t**2 + t - 1. Let b be u(2). Let i be (-1)/(1/((-6)/2)). Let x(k) = -2*k**3 - 7*k**2 + 3*k**2 - i - 5*k + k**3. Determine x(b).
3
Let l(g) = -2*g**3 - g**2 + g + 1. Let k(i) = 4*i - 3*i - 2*i + 2*i. Let f be k(-1). Determine l(f).
1
Suppose -y + 2 = 3. Let m be (2 + -1 - y)*9. Suppose 0*b + b - m = 5*g, 4*g + 21 = 3*b. Let f(n) = 2*n**2 + 3*n - 2. Calculate f(g).
7
Let j(x) be the third derivative of -x**6/20 - x**5/30 + x**4/24 - x**2. Let t be (5/(-2) - -1)/(183/(-122)). Determine j(t).
-7
Let a(n) = -n**3 + 3*n**2 - 3*n - 2. Suppose 4*r - 3 = -2*b + 3*r, -r = 3*b - 6. Determine a(b).
-11
Let k(d) be the second derivative of d**4/24 + d**2 + 3*d. Let i(r) be the first derivative of k(r). Let c = -2 + 5. Determine i(c).
3
Suppose 0 = -3*c + 12, f + 0*c = -5*c + 18. Let t(a) = 3*a + 1. Determine t(f).
-5
Let t = -16 - -15. Let a(l) = l. Let n(z) = -4*z + 2. Let s(y) = t*n(y) - 6*a(y). Calculate s(2).
-6
Suppose 0 = -3*f - 0*h + 2*h + 8, 0 = -2*f + 5*h - 2. Suppose -5*s + x + 7 = 0, -f*s + x + 5 + 0 = 0. Let k(w) = 3*w - 2. Calculate k(s).
4
Let s be -1 - ((-2)/12 - 100/(-24)). Let x(d) = -d**2 - 4*d - 6. Calculate x(s).
-11
Suppose 3*u - 6*u = -9. Let w(v) = -u*v**2 + 0*v**2 + 5*v**2. Calculate w(-1).
2
Let a(v) = v**2 - 3*v + 4*v + 18 - 21. What is a(-4)?
9
Let c(a) = 2*a - 15. Let y be c(7). Let r(u) = -u. What is r(y)?
1
Let j(y) be the second derivative of -y**3 - 1/12*y**4 + 0 - 2*y - 7/2*y**2. Give j(-5).
-2
Let k(i) = -5*i - 9. Let x(j) = -j - 2. Let o(u) = 2*k(u) - 11*x(u). Give o(-3).
1
Let r = 9 - 5. Suppose 9*q - 4*q - r*b - 24 = 0, -3*q = 3*b - 9. Let d(v) = 2*v - 5. Calculate d(q).
3
Let m(s) = -2*s**3 + 2*s**2 + 2*s - 2. Let u be (-1)/(-4)*(-6 - 14/(-1)). Give m(u).
-6
Let m(p) = 4*p**2 - 4*p + 2. Let l(f) = 2*f + 16. Let c be l(-8). Suppose c = -4*n - n + 10. Give m(n).
10
Let g(p) be the second derivative of -p**3/2 - p**2/2 - p. Let y(w) = 2*w**2 - 2*w - 7. Let d be y(3). Let j = 8 - d. Calculate g(j).
-10
Let x(o) = o - 3 + 0 - 3*o. What is x(-5)?
7
Let u(i) = 6*i + 9 - 3*i**2 + 5*i**2 - 15*i - i**2. Determine u(6).
-9
Let b(k) = k. Let s(g) = g + 1. Let z(y) = -2*b(y)
|
{
"pile_set_name": "DM Mathematics"
}
|
1
Let w(m) be the first derivative of -m**4/2 + 4*m**3/3 + 4*m + 17. Let l(a) = 2*a**3 - 5*a**2 - 5. What is 4*l(i) + 5*w(i)?
-2*i**3
Let o = -25 - -23. Let j(w) = w**2 - w + 1. Suppose 0 = 5*f + u - 6*u - 10, 4*f = -3*u - 27. Let h(p) = -p**2 + p - 1. Determine f*j(t) + o*h(t).
-t**2 + t - 1
Let s(j) = -j + 3. Let k(x) = 5*x. Let a(l) = 14*l - 1. Let p(o) = 4*a(o) - 11*k(o). Suppose 3*u = 5*c - 7 + 47, -3*c - 5 = 2*u. Give c*p(w) - 7*s(w).
2*w - 1
Let h(i) = -7*i**2 + 5. Let g(s) = 1. Let m(v) = 3*v**2 - 4. Let b(l) = -2*g(l) - m(l). Give 5*b(r) - 2*h(r).
-r**2
Let p(v) be the third derivative of v**4/8 + v**3/3 + 3*v**2. Let l(a) = -a**2 + 4*a + 3. Give 2*l(m) - 3*p(m).
-2*m**2 - m
Let a(k) = -4*k**2 + 133*k + 5. Let s(f) = 2*f**2 - 67*f - 2. Calculate 2*a(p) + 5*s(p).
2*p**2 - 69*p
Let t(c) = c - 11. Let a(v) = -v + 24. What is -3*a(h) - 5*t(h)?
-2*h - 17
Let m(z) = -9*z**3 + 5*z**2 + 11*z - 5. Let n(t) = 5*t**3 - 3*t**2 - 6*t + 3. What is 3*m(w) + 5*n(w)?
-2*w**3 + 3*w
Let l(h) be the third derivative of -h**5/60 + h**4/12 + h**3/6 + 5*h**2. Let j(q) = -3*q**2 + 12*q + 4 + 3 - 4 - 7*q. What is 3*j(n) - 8*l(n)?
-n**2 - n + 1
Suppose 4*q + 13 - 23 = -5*j, 4*q = -3*j + 14. Let m(k) = -2*k**2 + 2*k + 1. Let w(x) = x + 0*x - 3*x - 1 + 2*x**2. Give q*w(o) + 4*m(o).
2*o**2 - 2*o - 1
Let g(i) = -i**2 + i. Let t(n) = -8*n**3 - 3*n**2 + 4*n. Calculate 4*g(p) - t(p).
8*p**3 - p**2
Let c(x) = 3*x**3 + 5*x**2 + 5*x + 11. Let b(i) = 2*i**3 + 3*i**2 + 3*i + 5. Give -5*b(w) + 3*c(w).
-w**3 + 8
Let s(c) = 4*c**2 + 4*c**2 - 3*c**2 - 8 + 2. Let i(w) = -9*w**2 + 11. What is -4*i(t) - 7*s(t)?
t**2 - 2
Let u(i) = -6*i**3 + 4 + 4*i - 3*i + 2*i. Let b be (-1)/4 - 18/(-72) - -3. Let w(l) = 5*l**3 - 2*l - 3. Give b*u(p) + 4*w(p).
2*p**3 + p
Let h(k) = 18*k + 2. Let i(o) = -18*o - 2. Give -4*h(d) - 5*i(d).
18*d + 2
Let m(v) = 4. Let i(c) = -3. Let g(u) = 5*i(u) + 4*m(u). Let z(f) = -f - 6. Let j = 1 - 0. Calculate j*z(q) + 6*g(q).
-q
Let b be 44*(-2 + 45/20). Let x(u) be the second derivative of 2*u**4/3 - 4*u**3/3 - u**2/2 - u. Let k(r) = -15*r**2 + 15*r + 2. Calculate b*x(g) + 6*k(g).
-2*g**2 + 2*g + 1
Let w be (-6)/(-3)*(-2)/(-4). Let x(g) = -1. Let c(b) = -2*b**2 + 10. Suppose 0 = 4*r - k - 42, 0 = -r - 0*k + 5*k + 20. Calculate r*x(u) + w*c(u).
-2*u**2
Let k(d) = 4*d**2 - 5*d + 5. Let v(q) = -q**2 + 6*q + 2. Let t be v(6). Let x(p) = -2*p**t + 0*p - 2*p + 5*p**2 + 2 - p**2. Determine -2*k(c) + 5*x(c).
2*c**2
Let l(o) = -o + 10. Let x(k) = -1. Calculate 4*l(j) + 44*x(j).
-4*j - 4
Let n(y) = 2*y + 2. Let i = 43 - 48. Let p(j) = -3*j - 4. Determine i*n(h) - 3*p(h).
-h + 2
Let z(h) be the third derivative of h**5/20 - h**4/6 - h**3/2 + 5*h**2. Let j(p) = -p**2 + 2*p + 1. Determine -5*j(f) - 2*z(f).
-f**2 - 2*f + 1
Let t(f) be the third derivative of -f**6/24 - f**5/12 - f**4/4 + 5*f**3/6 - 6*f**2. Let d(n) = 4*n**3 + 4*n**2 + 5*n - 4. Determine -6*d(g) - 5*t(g).
g**3 + g**2 - 1
Let j(r) = -4*r - 4. Let q(u) = -1. Let w(d) = -j(d) + 2*q(d). Let l(k) = -11*k - 6. Determine 3*l(c) + 8*w(c).
-c - 2
Let t(r) = -7*r**2 - 10*r + 7. Let z(o) = -6*o**2 - 9*o + 6. Calculate -5*t(b) + 6*z(b).
-b**2 - 4*b + 1
Let j(v) = -v. Suppose -5*n = -5*g - 17 - 3, 4 = -n. Let k(p) = -4*p. Calculate g*j(t) + 3*k(t).
-4*t
Let o(q) = q + 4. Suppose 0 = 5*y - f + 17, -8*f - 19 = y - 3*f. Let r(l) = -l - 5. Calculate y*o(t) - 3*r(t).
-t - 1
Let o(m) = m**3 - 5*m**2 - 7*m + 3. Let l be o(6). Let s(r) = -r**3 + r. Let z(c) = 3*c + 4 - 4. Calculate l*s(u) + z(u).
3*u**3
Let i(b) = -8*b + 1. Let q(f) = -46 + 88 + 7*f - 43. What is -5*i(h) - 6*q(h)?
-2*h + 1
Let j(y) = -9*y + 2. Let z(p) = 1. Determine j(k) - 3*z(k).
-9*k - 1
Let m(r) = -161*r - 21. Let d(v) = 16*v + 2. What is -21*d(c) - 2*m(c)?
-14*c
Let t(m) = 10*m - 4. Let o(b) = -b - 1. What is 2*o(k) - t(k)?
-12*k + 2
Let t = 9 - 4. Let s be (-19)/t + (-8)/(-10). Let h(i) = i + 1. Let p(n) = -n**2 - n - 1. What is s*h(j) - 3*p(j)?
3*j**2
Let k(f) = f**3 + f**2 - f - 1. Let l(c) = 5*c**3 + 14*c**2 - 6*c - 8. What is -6*k(d) + l(d)?
-d**3 + 8*d**2 - 2
Let c(l) = -l - 1. Let s(v) = 3*v - 6. Calculate 6*c(h) - s(h).
-9*h
Let x(g) = 15*g**2 + 7*g - 11. Let c(l) = -7*l**2 + 6 + 21*l - 25*l - l**2. Determine 7*c(z) + 4*x(z).
4*z**2 - 2
Let y(k) = 6*k + 7. Let p(v) = -v - 1. Suppose 0 = -4*b - 0 - 4. Determine b*y(g) - 5*p(g).
-g - 2
Let l(x) = -x**3 - x**2 + x. Let h(a) = 2*a**3 + a**2 + 4*a + 5. Let t(j) = h(j) + l(j). Let g(k) = 4*k**3 + 24*k + 24. What is 5*g(q) - 24*t(q)?
-4*q**3
Let m(i) = -5*i**2 + 6*i + 9. Let t be 88/(-14) - 42/(-147). Let a(z) = 9*z**2 - 11*z - 17. Give t*a(w) - 11*m(w).
w**2 + 3
Let y = -25 + 20. Let g(m) = 2*m**2. Let d(v) = -3*v**2. Calculate y*g(h) - 4*d(h).
2*h**2
Let z(x) = -2 - 5*x**2 + 2*x**2 + 0*x**2 + 2*x**2 - 9*x. Let v(b) = 4*b + 1. Let j = -13 + 8. What is j*v(s) - 2*z(s)?
2*s**2 - 2*s - 1
Let l(c) be the second derivative of -c**5/20 - c**3/6 - c**2/2 + 2*c. Let x(i) = -5*i**3 - 6*i - 3. Determine -3*l(k) + x(k).
-2*k**3 - 3*k
Let k(p) = 4*p - 2. Let i(a) = 9*a - 4. Give 3*i(q) - 5*k(q).
7*q - 2
Let t(v) = -2*v - 4. Let l(c) be the first derivative of -2*c**2 - 9*c + 9. Determine -4*l(s) + 9*t(s).
-2*s
Let b(v) = -v**2 + 1. Let q(x) = x**3 - 5*x**2 + 2*x. Let i(w) = 2*b(w) - q(w). Let d(u) = u**3 - 2*u**2 + 2*u - 2. Give 3*d(n) + 2*i(n).
n**3 + 2*n - 2
Let y(g) = 3*g - 6. Let q(z) = 1. Determine -4*q(t) - y(t).
-3*t + 2
Let c(g) = 1. Let j(d) = -d**3 - d**2 + 4. Suppose 5*q - 9 = 1. Suppose -6 = z - 0*z - v, -q*z - 27 = -5*v. Determine z*j(l) + 6*c(l).
l**3 + l**2 + 2
Let d(i) = -11*i**2 - 13*i + 15. Let o(y) = 5*y**2 + 6*y - 7. Suppose 0 = 3*r - 5*r - 12. What is r*d(h) - 13*o(h)?
h**2 + 1
Let z = -52 + 51. Let k(o) = -1. Let j(x) = x - 1. Let b(n) = -n - 2. Let i be b(-5). Calculate i*k(p) + z*j(p).
-p - 2
Let v(b) = b**3 + 2*b**2 + 2*b - 1. Let z(g) = 6*g**3 + 11*g**2 + 11*g - 4. Suppose 6 = 8*y - 10. Calculate y*z(i) - 11*v(i).
i**3 + 3
Let h(p) = -4*p**2 - 5*p - 2. Let r = 10 + -5. Let i = -9 + r. Let x be ((-2)/i)/((-1)/14). Let c(l) = -2*l**2 - 2*l - 1. What is x*c(n) + 3*h(n)?
2*n**2 - n + 1
Let t be ((0 - -4) + 1)*1. Let j(m) = -11*m**2 + 6*m + 6. Let x(a) = 7*a**2 - 4*a - 4. Calculate t*j(c) + 8*x(c).
c**2 - 2*c - 2
Suppose b = -b + 4. Let q(r) = -3*r + 1. Let v(k) = 4 + 0*k + 7*k - 7. What is b*v(d) + 5*q(d)?
-d - 1
Let r be (-9 - (-207)/18)/((-2)/4). Let u(b) = 4*b**3 - b**2 + 6*b - 6. Let z(y) = 3*y**3 - y**2 + 5*y - 5. What is r*u(c) + 6*z(c)?
-2*c**3 - c**2
Let l(r) = -6 - 5*r**2 + 3*r + 2*r - 1 + r. Let i(j) = -6*j**2 + 7*j - 8. Calculate 6*i(n) - 7*l(n).
-n**2 + 1
Let g(p) = -4*p + 3 + 3*p + 3*p. Let l = -6 + 7. Let d be (l/2*-2)/(-1). Let w(x) = -1. Determine d*g(i) + 2*w(i).
2*i + 1
Let t(x) = -7*x**2 - 2. Let y(p) = 13*p**2 + 4. Let c = 0 - 6. Let i(f) = -9*f - 47. Let k be i(-4). What is c*y(b) + k*t(b)?
-b**2 - 2
Let w(k) = -2*k + 36. Let m(v) = -2*v + 36. Give -3*m(t) + 4*w(t).
-2*t + 36
Let i(s) = -40*s**2 + 5*s. Let c(u) = -81*u**2 + 9*u. Determine -5*c(m) + 9*i(m).
45*m**2
Let t(r) = r + 1. Let l(q) = -7*q - 4. Let u(y) = -y**2 + 6*y - 10. Let x be u(5). Determine x*t(v) - l(v).
2*v - 1
Let r(j) = 2*j**2 + 5*j. Let v(h) be the third derivative of 1/6*h**4 + 0 + 0*h**3 + 3*h**2 + 0*h + 1/30*h**5. What is -3*r(i) + 4*v(i)?
2*i**2 + i
Let b(f) = -4*f**3 - 7*f - 5. Let v(x) = -2*x**2 - 4*x - 3. Let k be v(-2). Let o(s) = -4*s + 9 - 9 - 2 - 2*s**3 + s. Determine k*b(n) + 7*o(n).
-2*n**3 + 1
Let j(a) = 14*a - 3. Let o(q) = -5*q + 1. Let s(x) = 4*j(x) + 11*o(x). Let i(n) = 2*n - 2. Calculate i(z) - 4*s(z).
-2*z + 2
Suppose -1 + 49 = -6*v. Let q(l) = l**3 - l**2 - 3*l. Let b(t) = 3*t**3 - 4*t**2 - 8*t. Calculate v*q(y) + 3*b(y).
y**3 - 4*y**2
Let s(o) = -17*o**2 + 9*o + 5. Let i(p) = p**2 - p - 1. Let r(q) = 3*q**2 - q. Let c(g) = -i(g) - r(g). Calculate 9*c(l) - 2*s(l).
-2*l**2 - 1
Let o(v) = -2*v - 3. Suppose -i + 5*i = 0. Let x(z) = 5 + i - 4. Suppose 3*b - 3*u - 3 = 0, -b + 2*u - 4 + 2 = 0. What is b*x(h) + o(h)?
-2*h + 1
Let n(j) = -7*j**2 + 4*j + 5. Let p be -1 + 2 + (1 - 0 - -2). Let b(o) = -o**2 + o + 1. Calculate p*b(z) - n(z).
3*z**2 - 1
Suppose 2*z - 3 = 11. Let h(q) = -q**2 - 7. Let w(n) = n**2 + 4. Determine z*w(f) + 4*h(f).
3*f**2
Suppose d - 2*z = 24, 106 = 4*d - 0*z + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
e -316*z - 4 + 735*z - 266*z + 30 - 235*z to the form p*z + n and give n.
26
Rearrange -1660 + 3366 + 5639*r - 1706 to the form d*r + h and give d.
5639
Rearrange 59882*n - 35*n**3 + 59963*n - 119782*n to the form p*n**3 + q*n**2 + v + u*n and give u.
63
Express -5 - 67*a + 4*a**2 + 18*a + 54*a + 0*a**4 + 2*a**4 + 6*a**3 as r*a**2 + c*a + v*a**3 + l + h*a**4 and give v.
6
Express -199*j**2 + j + 109 + 695*j**2 - 497*j**2 as x*j**2 + r + u*j and give x.
-1
Rearrange 2 - 233*l - l**3 + 568*l + 274*l to the form h*l**3 + m*l + j + x*l**2 and give j.
2
Express (1 + 7 - 4)*(-424855*w + 424855*w + 3520*w**2) - w**2 + w**2 + w**2 as o*w**2 + z + b*w and give o.
14081
Express ((2 - 5 + 7)*(0 + 3 - 5) + 14 - 5 - 4)*(8*c - 15*c - 15*c) as b + h*c and give h.
66
Express -3830*f + 13362*f - 38534*f in the form q*f + i and give q.
-29002
Rearrange (-2*o**2 - 2*o**2 + o**2)*(-29*o**2 - 28*o**2 + 41*o**2)*(178 + 399 + 352 + 568 - 103) to d*o**3 + w + z*o**4 + g*o**2 + r*o and give z.
66912
Express 3*u - 15037 - 15009 + 3*u**2 + 30047 as s*u**2 + p + k*u and give k.
3
Express 213 + 326 - 249 + b**3 + 18*b**4 - 788 - 3*b**3 in the form u*b + o*b**3 + i*b**2 + z + f*b**4 and give u.
0
Express -n**2 - 3*n**2 - 3510 - 2*n - 3495 + 6967 in the form m*n + k + w*n**2 and give w.
-4
Rearrange (-8 + 8 + 6*z)*(-183 + 194 + 323 - 70 + 270 + 135) to m*z + w and give w.
0
Express (76*c**2 + 271*c**2 + 166*c**2)*(-63*c**2 + 22*c**2 - 24*c**2) in the form q*c**3 + y*c + t*c**2 + b*c**4 + i and give b.
-33345
Express -8355647*s + 8355647*s + 3054*s**3 + 3*s**3 - s**3 - 4*s**3 + (-s**2 + 4*s**2 - 2*s**2)*(-s - 2*s + 4*s) as x*s**2 + k*s + r*s**3 + n and give r.
3053
Express (19*k + 64 - 119 + 54)*(4*k - 14 + 14) in the form y*k**2 + l + s*k and give y.
76
Rearrange (0 + 0 + 1 + (-3 + 2 + 0)*(-3 + 7 - 3) + (-238 + 136 - 81)*(28 - 6 - 17))*(-2*t**2 + 4*t**2 - t**2) to r + y*t**2 + b*t and give y.
-915
Express (-6 - 12 + 3)*(-2 + g + 2)*(-g - 5*g - 3*g) in the form r*g + a + w*g**2 and give w.
135
Express (3*v**3 - v**3 - 3*v**3)*(-1735*v - 128*v - 1266*v) in the form u*v**4 + o + s*v + i*v**3 + a*v**2 and give i.
0
Rearrange 98 - 85 + 5*a**2 - 2*a**4 + 0*a**4 + (-6*a - a - a)*(-a**3 + 3*a**3 - 5*a**3) to p + y*a + f*a**3 + r*a**2 + q*a**4 and give r.
5
Rearrange (-1109*t + 527*t + 907*t)*(-209 + 600 - 285) to x + p*t and give p.
34450
Express 223 + 165*p + 18293*p + 52*p - 2*p**2 - 223 in the form g + w*p**2 + a*p and give w.
-2
Express (31 - 21 + 11)*(-g**2 + 11*g**3 + 13*g**3 - 11*g**3 + (g - 4*g + 2*g)*(-2*g + 2 - 2)*(-5*g + 3*g + 18*g)) as j*g + f*g**2 + p*g**3 + z and give p.
945
Express 7*g + 2 + 38*g**2 - 52*g**2 - 7*g - 4 - 8*g as t*g**2 + y + j*g and give y.
-2
Express -8 + 10 - 28*l + l**2 + 63*l - 17*l - 30*l + 15*l**3 - 2*l**4 as t + m*l**3 + v*l + y*l**2 + i*l**4 and give t.
2
Express 33*c + 0*c - 46*c + 5*c + 9583*c**2 + 6*c as b*c + u*c**2 + j and give b.
-2
Rearrange 3 + 8291*v - 24322*v - 3 + 2203*v to the form o*v + h and give o.
-13828
Rearrange (-s - 3*s + 2 + 2*s)*(-150986 + 150986 - 661*s) to the form o + i*s**2 + t*s and give o.
0
Express -3*q + 0*q + 4*q + (-1 + 5 - 1)*(-14516*q - 16360*q - 10295*q + 2329*q + 621*q) as s + k*q and give k.
-114662
Rearrange 4748*u - 4748*u + 503*u**2 + 0 + 7 to the form m*u**2 + v + g*u and give m.
503
Express (2*j - j - 2*j)*(-2 - 1 + 2)*((4*j - 2*j + 5*j)*(j + 7*j - 2*j) - 85*j**2 - 19*j + 19*j) as v*j**3 + s*j**2 + r + p*j and give v.
-43
Express (-7 + 5*x + 7)*(2 - 2 + 1) + (33*x + 37*x - 65*x)*(3 + 1 + 1) as v + n*x and give n.
30
Express (1692 - 731 - 831)*((-3 + 1 + 3)*(-4*u + 2*u - u) - 1 + 1 + u - 3 + u + 3 + (-u + 0*u + 0*u)*(1 + 4 - 3) - 2*u + 4*u - 4*u) as y + a*u and give y.
0
Express (6 - 3 - 4)*(-13*a - 8*a - 7*a + (-3 + 2*a + 3)*(-1 - 3 + 2)) - 3*a - 2 + 2 in the form b*a + x and give b.
29
Rearrange (-3 + 5 + 0)*(2 + 6 - 3)*(62 - 36*w - 65*w - 64) to the form l*w + x and give x.
-20
Rearrange 47*b - b**4 - 17*b - 25*b - 121*b**3 to the form w + p*b + o*b**2 + s*b**4 + x*b**3 and give p.
5
Express -21626*r - 12 + 20843*r + 9 in the form l*r + w and give l.
-783
Express 123 + 10*q**3 + 29*q + 25*q + 35*q - 86*q + 11 in the form p*q**2 + v*q + c*q**3 + s and give v.
3
Express 8*s**2 + 7*s**2 + 11*s**4 - 2*s**3 - 15*s**2 + 9*s**2 + 11 - 12 in the form k + r*s**2 + u*s + o*s**4 + b*s**3 and give r.
9
Express (22 - 4 + 13)*(t**2 + 3*t**2 + 2*t**2)*((-3 + 5 + 5)*(3*t + 3*t - 5*t) - 3*t - 4*t + 3*t) as i + b*t + v*t**2 + x*t**3 and give x.
558
Express -4 + 106 - 11859*p**2 - 1 - 101 in the form f*p + k + y*p**2 and give y.
-11859
Rearrange 2 - x**3 - 2 + (-2*x**2 + 5*x**2 + 0*x**2)*((-4*x - x + 3*x)*(-2 - 1 + 1) + 3067*x + 2657*x - 2757*x) to s + k*x**3 + p*x + o*x**2 and give k.
8912
Rearrange 3 + 6 - 116*n + 392*n - 1 - 1 to the form l*n + p and give p.
7
Express 6*r**3 - 86516*r**2 + 34*r + 3*r**3 + 86516*r**2 + 2 as w*r**2 + c*r + b*r**3 + x and give w.
0
Rearrange (-3 + 0 + 1)*(-55 - 23*g + 55)*(-19*g + 39 - 39) to the form p*g + d*g**2 + j and give d.
-874
Rearrange (-48 + 48 - 50*v + 245*v)*(-335*v - 20651 + 20651) to a + y*v + g*v**2 and give g.
-65325
Rearrange -1 - 16181*j**4 + 16177*j**4 + 809*j**3 + 4 - 4 to c*j**2 + r*j**4 + p*j + q*j**3 + v and give r.
-4
Express -10*p + 158 - 162 - 4*p + 15*p**2 as a*p + t + v*p**2 and give v.
15
Rearrange -258*c + 393*c - 216*c - 658*c - 1649*c to the form v + p*c and give p.
-2388
Rearrange (-6*i + 16*i + 17*i)*(28*i - 5*i**2 + 87*i + 79*i) to the form n*i**3 + f*i + w + s*i**2 and give n.
-135
Express (11623*t + 117709 + 117706 - 235414)*(-2*t - 4*t + 7*t) as i*t + j*t**2 + k and give i.
1
Express -16*q**2 - 19*q**2 + 83*q + 26*q**2 - 4*q**2 as v + z*q + t*q**2 and give z.
83
Express b - 11 + 21 - 5*b**2 + 40 + 0*b + 22 as r*b**2 + h + i*b and give i.
1
Rearrange -6*c - 1385*c**3 + 31*c**4 - 1386*c**3 - 2 + 4157*c**3 - 1385*c**3 to m*c**2 + i*c**4 + y + k*c**3 + x*c and give k.
1
Rearrange -243*t - 241*t - 236*t - 6687 + 953*t - 234*t to the form a + l*t and give l.
-1
Express -51*t**4 + 1515*t + 3*t**3 - 2*t**2 - 13*t**4 - 1514*t as j*t**2 + s*t**3 + l*t**4 + q + p*t and give p.
1
Rearrange -1980*a + 1067*a + 982*a + (4 - 1 - 4)*(-1 - 6*a + 1) to the form d*a + n and give d.
75
Express -224*k**2 + 54*k**2 - 56 - 217*k**2 - k**3 + 55 in the form v*k + x*k**2 + u*k**3 + d and give u.
-1
Express -14 + 14 + 37*m + (-4 + 3 + 3)*(7*m - 5*m + 4*m) as w + p*m and give p.
49
Rearrange (-m - 2*m + 5*m + (-104*m - 5*m - 95*m)*(2 + 0 - 3) + 3*m + 3*m - 4*m)*(0*m - 6*m + 0*m) to the form o + z*m**2 + v*m and give o.
0
Rearrange (10*k + 29*k + 20*k + (-1 - 3 - 1)*(5*k - k - 3*k + (0*k + 2*k + 0*k)*(3 - 5 + 1)))*(-k + k + 5*k**2) to d + w*k + p*k**3 + n*k**2 and give p.
320
Rearrange 0*z + z + 2*z + (2*z + 0*z + 0*z)*(-5 + 3 + 3) - 1 + 1 - 3*z + (-2 + 0 - 1)*(-22*z + 260 - 260) + 3*z - 3*z - 3*z to b + s*z and give s.
65
Express -2*v**3 + 4 + 0*v**2 + 672*v**4 - 682*v**4 - v**2 + 0*v**3 as h*v**2 + g*v**4 + b*v**3 + a + n*v and give a.
4
Express (1 + 2 - 7)*((3 + 1 - 1)*(0 + 0 + 2*v) - 16*v + 7*v + 15*v - v - v + 0*v) + (1 + 5 - 4)*(v + 0*v + 2*v)*(-5 + 3 + 1) in the form b + j*v and give j.
-46
Express 2*a - 12524*a**2 + 25042*a**2 - 60*a**4 - 12516*a**2 - 8 - 4 in the form v*a + p*a**4 + n + q*a**3 + z*a**2 and give v.
2
Rearrange 2746*x - 1260*x + 974*x + 1975*x to s + r*x and give s.
0
Rearrange -g - 3*g - 34 + 33 + 6*g - 408*g**3 + 420*g**3 - g**2 to the form w + b*g**3 + x*g**2 + s*g and give x.
-1
Rearrange ((4*t - 2*t - 9*t)*(-1 + 6 - 3) + (15*t + 29 - 29)*(2 + 2 - 2))*(-1 - 1 + 3*t - 2*t) to j + m*t + k*t**2 and give m.
-32
Rearrange (2*k - 2*k + k**2)*(4 - 4 - k) + (-116 + 23 - 14)*(3*k**2 - 3*k**2 - k**3) + 4*k**3 + 1 - 1 to m*k**2 + l*k**3 + z*k + o and give l.
110
Express (-178*p - 911*p - 3732*p - 1193*p)*(3 + 4 - 3) in the form c + m*p and give m.
-24056
Express (25 + 8 - 3)*(0 - g + 0 + (-2*g + 4*g - 3*g)*(2 + 1 - 1) + 2*g - 1 + 1 + 4*g + g - 3*g - 628 - 100*g + 628) in the form t + y*g and give y.
-2970
Rearrange 436 - 2*b**2 - 304 - 406*b**4 + 201*b**4 - 2*b**3 + 200*b**4 to the form n*b**2 + d*b + q + a*b**4 + k*b**3 and give q.
132
Rearrange -105*n**2 + n**4 + 103*n**2 - 194*n + 872 + n**3 - 871 to o*n**4 + z*n**3 + d*n**2 + g + x*n and give z.
1
Expr
|
{
"pile_set_name": "DM Mathematics"
}
|
nator of -13/58712 and 99/2296.
410984
Find the common denominator of 13/8838 and -89/31424.
282816
What is the lowest common multiple of 266 and 1421?
53998
What is the common denominator of -69/224 and 55/47572?
380576
Calculate the lowest common multiple of 42576 and 24.
42576
Find the common denominator of 103/546 and 58/1449.
37674
Find the common denominator of -7/551990 and -61/1870.
6071890
Calculate the common denominator of -82/225 and -40/2487.
186525
Calculate the least common multiple of 2340 and 45.
2340
Calculate the lowest common multiple of 1331 and 46.
61226
Calculate the lowest common multiple of 11 and 1762708.
19389788
What is the common denominator of 1/6 and -43/68001?
136002
What is the smallest common multiple of 21 and 554267?
1662801
What is the least common multiple of 1540 and 306460?
306460
Find the common denominator of -39/2686 and 143/8058.
8058
Calculate the lowest common multiple of 4341 and 24.
34728
Calculate the lowest common multiple of 38420 and 15368.
76840
Calculate the least common multiple of 45050 and 7950.
135150
What is the common denominator of 46/3135 and -37/5016?
25080
Calculate the common denominator of 109/66 and -89/7788.
7788
Calculate the common denominator of 157/285936 and 91/888.
285936
Calculate the lowest common multiple of 2627700 and 5532.
2627700
Calculate the common denominator of -44/38743 and -58/477.
348687
Calculate the smallest common multiple of 45 and 55008.
275040
What is the common denominator of -127/8568 and -113/3528?
59976
Find the common denominator of -73/8 and -133/8067534.
32270136
Calculate the smallest common multiple of 1904 and 714.
5712
What is the common denominator of -73/21808 and 99/54520?
109040
Calculate the smallest common multiple of 7945 and 11350.
79450
What is the lowest common multiple of 900 and 22770?
227700
What is the common denominator of -53/217240 and -23/70?
1520680
Find the common denominator of -93/154 and -27/8288.
91168
Calculate the common denominator of -109/1680 and 11/5712.
28560
What is the lowest common multiple of 97310 and 9731?
97310
What is the smallest common multiple of 36 and 13731?
164772
What is the common denominator of -17/3674 and 14/2871?
958914
Find the common denominator of 17/3764 and 9/13174.
26348
Calculate the common denominator of 35/1242 and 149/23046.
207414
What is the common denominator of -6/89 and -50/3533?
314437
Calculate the common denominator of -89/134865 and -61/629370.
1888110
Calculate the least common multiple of 28 and 28413.
113652
Find the common denominator of -47/404622 and 143/359664.
3236976
What is the common denominator of 49/88716 and 121/6?
88716
What is the common denominator of -59/2 and -43/3091?
6182
Find the common denominator of 47/6600 and -103/110.
6600
What is the common denominator of 1/249999 and 127/6?
499998
Calculate the lowest common multiple of 15 and 29730.
29730
Calculate the common denominator of -47/3 and 88/273555.
273555
Calculate the least common multiple of 338 and 41678.
541814
What is the common denominator of 41/1560 and -93/416?
6240
Calculate the least common multiple of 1026 and 4826.
130302
What is the least common multiple of 1101 and 34865?
104595
Calculate the least common multiple of 21742 and 63.
195678
Find the common denominator of -119/19000 and -109/66500.
133000
Calculate the smallest common multiple of 29442 and 138798.
971586
What is the common denominator of 119/267894 and 2/12177?
267894
Calculate the common denominator of 73/437529 and 25/1377.
11813283
Calculate the least common multiple of 108 and 11232.
11232
Find the common denominator of -47/315 and -41/2527.
113715
What is the common denominator of -143/316908 and 7/12?
316908
What is the lowest common multiple of 414 and 570?
39330
Find the common denominator of 27/1184 and -45/32.
1184
What is the smallest common multiple of 1953 and 62?
3906
Calculate the least common multiple of 55920 and 22368.
111840
Calculate the common denominator of 77/204544 and -35/4608.
3681792
What is the common denominator of 23/119 and -46/6167?
104839
What is the common denominator of 65/15622 and 69/292?
31244
Find the common denominator of 62/31305 and 21/104350.
313050
What is the common denominator of -107/56 and -57/30296?
30296
Find the common denominator of 111/1180 and 103/46020.
46020
Find the common denominator of 65/56 and 37/8008.
8008
Calculate the lowest common multiple of 5 and 106817.
534085
What is the common denominator of 101/134904 and -29/77?
134904
What is the smallest common multiple of 28 and 7128?
49896
Calculate the smallest common multiple of 1735 and 4.
6940
What is the smallest common multiple of 104 and 43136?
560768
What is the common denominator of 53/15687 and 101/14?
31374
What is the least common multiple of 23571 and 1529496?
13765464
Calculate the least common multiple of 23650 and 1324400.
1324400
Calculate the common denominator of 93/32 and -79/1388.
11104
Find the common denominator of -55/24 and 87/582896.
1748688
What is the smallest common multiple of 2 and 94178?
94178
Find the common denominator of -49/666 and 107/4662.
4662
What is the least common multiple of 646531 and 309?
1939593
What is the common denominator of 56/23445 and -38/27?
70335
Find the common denominator of 49/2166 and 39/2546.
145122
What is the smallest common multiple of 2488370 and 108190?
2488370
Calculate the lowest common multiple of 424 and 157952.
8371456
What is the least common multiple of 662152 and 1655380?
3310760
Calculate the least common multiple of 4960 and 155.
4960
Calculate the common denominator of -23/205 and 169/57090.
2340690
Find the common denominator of 15/104 and -49/772330.
3089320
Calculate the lowest common multiple of 421821 and 6.
843642
What is the least common multiple of 440 and 627088?
3135440
Find the common denominator of 69/104680 and 19/115148.
1151480
Find the common denominator of 28/55899 and 65/167697.
167697
Calculate the lowest common multiple of 71401 and 45437.
499807
What is the lowest common multiple of 48 and 3408?
3408
What is the common denominator of 67/160184 and -25/64?
1281472
What is the lowest common multiple of 5005 and 14?
10010
What is the lowest common multiple of 3534 and 1206?
710334
What is the common denominator of 173/5148 and 109/1768?
175032
What is the lowest common multiple of 112 and 419?
46928
Calculate the common denominator of 191/11400 and 227/815100.
1630200
Find the common denominator of 83/66 and 151/2168406.
23852466
Calculate the common denominator of -13/30 and 121/27294.
136470
Calculate the common denominator of -13/9375 and -37/6250.
18750
What is the common denominator of 34/8505 and 47/15?
8505
Calculate the lowest common multiple of 1794 and 210197.
1261182
What is the smallest common multiple of 60 and 9668?
145020
Calculate the lowest common multiple of 28 and 257194.
514388
Calculate the common denominator of -79/22842 and 11/1944.
91368
Calculate the common denominator of -48/143875 and 45/2302.
287750
Calculate the common denominator of -111/5236 and 15/151096.
1057672
What is the lowest common multiple of 65394 and 70?
326970
Calculate the smallest common multiple of 3148 and 646914.
1293828
What is the common denominator of 38/9 and 25/18321?
54963
Find the common denominator of 37/2256 and -119/1464.
137616
What is the lowest common multiple of 54440 and 387885?
3103080
Calculate the common denominator of -97/551710 and 11/185.
20413270
Calculate the smallest common multiple of 120 and 536970.
2147880
What is the smallest common multiple of 562 and 7530?
2115930
What is the smallest common multiple of 11907 and 70?
119070
What is the least common multiple of 41115 and 50?
411150
Calculate the smallest common multiple of 658 and 294.
13818
What is the lowest common multiple of 6 and 5994?
5994
What is the least common multiple of 2481 and 10?
24810
Calculate the common denominator of 101/1380 and -2/10465.
125580
Calculate the lowest common multiple of 89838 and 84.
179676
What is the common denominator of 79/120642 and 46/93?
3739902
Find the common denominator of 61/254824 and 91/48.
1528944
Calculate the lowest common multiple of 1793596 and 56.
3587192
Calculate the least common mul
|
{
"pile_set_name": "DM Mathematics"
}
|
*u**2 + 9/32*u**4. What is s in h(s) = 0?
-3, 0, 1/4, 3
Let k be (5/(-4))/((-30)/48). Find y such that 36*y + 428*y**2 + 452*y**2 + 2*y**3 - 918*y**k = 0.
0, 1, 18
Let n(x) be the third derivative of -x**6/1080 - x**5/15 + x**4/216 + 2*x**3/3 - 189*x**2 - 6*x. Factor n(h).
-(h - 1)*(h + 1)*(h + 36)/9
Suppose 4*p - 3*u = 10, -5*p + 6 = 2*u - 18. Find l, given that -3*l**5 + 24*l**3 - 8*l**p + 27*l**2 - l**5 + 27 - 20*l + 5*l**2 - 51 = 0.
-3, -1, 1, 2
Let w(u) be the first derivative of -5*u**4/4 - 65*u**3/3 - 115*u**2/2 - 55*u + 5629. What is a in w(a) = 0?
-11, -1
Let m = -588397/9 + 65379. Factor -m*r**2 + 10/3 - 64/9*r.
-2*(r + 5)*(7*r - 3)/9
Let o be (2 - 4/20) + (-9 - -9). Let w(j) be the first derivative of 2/5*j**3 - 24/5*j + o*j**2 - 7. Factor w(m).
6*(m - 1)*(m + 4)/5
Let m = -77 - 75. Let a = 147 + m. Let n(c) = 15*c**4 + 53*c**3 + 21*c**2. Let y(l) = l**4 - l**3 - l**2. Let s(h) = a*y(h) - n(h). Solve s(x) = 0 for x.
-2, -2/5, 0
Let c(t) be the first derivative of -t**5 + 120*t**4 - 14720*t**3/3 + 76800*t**2 - 512000*t + 2763. Factor c(x).
-5*(x - 40)**2*(x - 8)**2
Let q = -29280 - -29280. Let s(d) be the first derivative of 30 + 2/15*d**3 + q*d - 7/5*d**2. Determine y so that s(y) = 0.
0, 7
Let j(a) be the second derivative of 575/4*a**3 - 5 - 47/8*a**4 + 2*a - 1587/4*a**2 + 3/40*a**5. Factor j(t).
3*(t - 23)**2*(t - 1)/2
Let c(d) = d**2 - 7. Let s(m) = -m**2 - 1. Let g(x) = c(x) - s(x). Let u be g(-2). Factor 6*a**u - 3*a**3 - 2 + 2 + 563*a - 566*a.
-3*a*(a - 1)**2
Let p = 599471 + -2397879/4. Factor 7/2 - 1/4*j**2 - p*j.
-(j - 2)*(j + 7)/4
Let h(z) be the third derivative of -1/6*z**4 + 100*z**2 + 19/60*z**5 + 0 + 0*z**3 + 0*z. Find d, given that h(d) = 0.
0, 4/19
Let u(h) = h - 2. Let f(o) = 9*o**2 + 4*o - 22. Let l(z) = f(z) - 5*u(z). Let v(x) = -11*x**2 + 2*x + 14. Let k(q) = -5*l(q) - 4*v(q). Factor k(r).
-(r - 1)*(r + 4)
Let k(x) be the third derivative of x**7/168 + x**6/18 + x**5/6 - 58*x**3/3 - x**2 - 13. Let o(m) be the first derivative of k(m). Suppose o(u) = 0. What is u?
-2, 0
Let f(o) = -o**4 - 2*o**3 - o**2 + 2*o. Let g(i) = -6*i**4 - 58*i**3 - 851*i**2 - 6470*i - 18225. Let q(p) = -5*f(p) + g(p). Solve q(l) = 0.
-15, -9
Let a(b) = -17*b**2 - 8*b. Let v be 2 + -1 - (-10 + 2). Let g(f) = -33*f**2 - 15*f. Let i(r) = v*a(r) - 5*g(r). Factor i(o).
3*o*(4*o + 1)
Find f such that 8/3 + 2/3*f + 2/3*f**4 + 1/6*f**5 - 5/6*f**3 - 10/3*f**2 = 0.
-4, -2, -1, 1, 2
Suppose -2*x = -2*m + x - 596, 320 = -m - 4*x. Let d = 2738/9 + m. Let 2/3 - 8/9*a + d*a**2 = 0. What is a?
1, 3
Let r(n) be the first derivative of -n**6/9 + 16*n**4/3 - 68*n**3/3 + 113*n**2/3 - 28*n - 3175. Suppose r(h) = 0. What is h?
-7, 1, 2, 3
Let o(f) = -3*f**2 + 1562*f + 205932. Let s(v) = 3*v**2 + 5*v. Let w(j) = -o(j) - 2*s(j). What is b in w(b) = 0?
-262
Let n = 863/2575 + -14/7725. Factor n - 8/3*c + 7*c**2 - 6*c**3.
-(2*c - 1)*(3*c - 1)**2/3
Let c = -716 - -719. Let h be 28/(-12) + c - (-14)/(-42). Let h*a**2 - 2/3*a + 0 = 0. What is a?
0, 2
Let t(m) = -75*m**2 + 31061*m - 20710. Let u(p) = -204*p**2 + 93184*p - 62128. Let x(l) = 8*t(l) - 3*u(l). Solve x(k) = 0 for k.
2/3, 2588
Let y(x) be the second derivative of -x**7/1680 + x**6/160 + x**5/20 - x**4/6 - 18*x**3 - 12*x - 3. Let m(b) be the third derivative of y(b). Solve m(d) = 0.
-1, 4
Let h(z) be the second derivative of -z**6/280 - z**5/35 - z**4/56 + 3*z**3/7 - 79*z**2/2 + 63*z. Let v(i) be the first derivative of h(i). Factor v(f).
-3*(f - 1)*(f + 2)*(f + 3)/7
Let z(h) be the first derivative of -h**5/4 - 5*h**4 - 55*h**3/6 + 69*h + 27. Let j(t) be the first derivative of z(t). Factor j(r).
-5*r*(r + 1)*(r + 11)
Let m(s) be the third derivative of -51/350*s**7 + 7/10*s**6 - 8/5*s**3 + 1/80*s**8 - 2*s**2 + 12/5*s**4 - 44/25*s**5 + 0*s - 35. Find t such that m(t) = 0.
2/7, 1, 2
Let f(q) be the second derivative of -77*q + 2/15*q**5 + 62/9*q**3 - 5/3*q**4 + 0 - 8*q**2. Factor f(p).
4*(p - 4)*(p - 3)*(2*p - 1)/3
Suppose 341 - 375 = -s + 5*u, 0 = 3*s - 7*u - 54. Factor -2/3*a**2 - 16/3 + s*a.
-2*(a - 4)*(a - 2)/3
Let i(s) be the first derivative of 7/6*s**3 - 5*s + 1/20*s**5 - 5/12*s**4 + 2 - 3/2*s**2. Let j(m) be the first derivative of i(m). Let j(c) = 0. Calculate c.
1, 3
Solve 5/6*l - 1/3 - 1/3*l**2 - 2/3*l**3 + 2/3*l**4 - 1/6*l**5 = 0.
-1, 1, 2
Suppose 2*f = -70 + 76. Factor 4*c**f - 51 + 69 - 32*c - 66 + 4*c**2.
4*(c - 3)*(c + 2)**2
Let y be 4*(7 - 8) + (160 - 1). What is z in -568*z**2 + 505*z + y - 5*z**3 + 813*z**2 + 100 = 0?
-1, 51
Let d(z) be the third derivative of -5*z**2 + 0*z - 1/1260*z**7 + 1/18*z**3 - 1/720*z**6 - 12 + 1/120*z**5 + 5/144*z**4. Factor d(y).
-(y - 2)*(y + 1)**3/6
Let g be 1/((-221)/395598) - 190/(-1235). Let l = g + 1790. Solve 28/17*r**3 + 320/17*r - 256/17 - 144/17*r**2 - l*r**4 = 0 for r.
2, 4
Suppose -18*c - 1071 = -25*c. Let t be 18/c + 168/17. Find w such that 40*w**2 + 8*w**4 + 7*w**5 - 6 - 10*w - t*w**3 + 1 - 43*w**4 + 13*w**5 = 0.
-1, -1/4, 1
Let w = 7223 + -86675/12. Let b(r) be the first derivative of 0*r**2 + 0*r + 2/9*r**3 + w*r**4 - 17. Determine v so that b(v) = 0.
-2, 0
Let q(r) = 3003*r - 72068. Let w be q(24). What is l in -16/5*l**w + 32/5 - 196/5*l**2 + 72/5*l + 108/5*l**3 = 0?
-1/4, 1, 2, 4
Let i(p) be the first derivative of -p**4/16 - 3*p**3/2 - 17*p**2/8 - 220. Factor i(m).
-m*(m + 1)*(m + 17)/4
Let o(w) be the third derivative of 911*w**5/60 - 451*w**4/54 - 2*w**3/27 - 5*w**2 - 2*w + 478. Let o(i) = 0. What is i?
-2/911, 2/9
Let v(g) be the first derivative of -3/20*g**5 - 7/4*g**3 + 0*g + 15/16*g**4 + 9/8*g**2 - 19. Let v(b) = 0. Calculate b.
0, 1, 3
Suppose -4*i = t + 18, -i - 2 - 7 = -2*t. Let g(w) = w**3 - 14*w**2 + 2. Let f be g(14). Solve 2 - 4 - 3*d**f + d**t + 5*d - d = 0 for d.
1
Suppose 2*n = 2*j - 16, 6*n - 15 = 9*n. Let p(g) be the first derivative of 0*g + g**4 + 5 + 4/3*g**j + 0*g**2. Factor p(d).
4*d**2*(d + 1)
Let m be (-610)/((2/6)/(7/(-42))). Suppose 8*n - m = -105. Factor -p**2 + p - 15 - 6*p + n*p - 4*p**2.
-5*(p - 3)*(p - 1)
Find v, given that 8*v - 212/3*v**3 - 12*v**5 - 20/3*v**2 + 60*v**4 + 0 = 0.
-1/3, 0, 1/3, 2, 3
Let m(a) be the second derivative of a**5/130 + 11*a**4/78 - 46*a**3/39 - 56*a**2/13 - 2*a + 1510. Factor m(h).
2*(h - 4)*(h + 1)*(h + 14)/13
Let r(d) be the first derivative of d**7/2520 - 5*d**6/216 + 47*d**5/360 - 23*d**4/72 + 125*d**3/3 - 11. Let p(k) be the third derivative of r(k). Factor p(b).
(b - 23)*(b - 1)**2/3
Factor 2/3*z**4 + 0 + 340*z**2 - 288*z - 158/3*z**3.
2*z*(z - 72)*(z - 6)*(z - 1)/3
Let g be (-79742)/169*((-1 - 0) + 0). Let p = 472 - g. Factor -20/13*v**2 + 50/13*v + p*v**3 + 0.
2*v*(v - 5)**2/13
Let b(a) = -a**3 - 2*a**2 + a + 1. Let z(r) = 343*r**4 + 16224*r**3 - 28466*r**2 + 16395*r - 3141. Let k(w) = -5*b(w) - z(w). Factor k(t).
-(t + 49)*(7*t - 4)**3
Let n be 33/220 - (-18)/(-180). Let u(p) be the first derivative of -17 - n*p**4 + 0*p**2 + 4/5*p - 1/5*p**3. Factor u(q).
-(q - 1)*(q + 2)**2/5
Let i(q) be the second derivative of q**4/84 + 2476*q**3/21 + 3065288*q**2/7 - 41*q - 94. Factor i(m).
(m + 2476)**2/7
Let n(f) be the second derivative of f**6/2160 - 7*f**5/120 + 49*f**4/16 + 8*f**3/3 - 239*f. Let y(z) be the second derivative of n(z). Solve y(r) = 0.
21
Let l = 267470 + -3477104/13. Factor -4/13 + l*g + 10/13*g**2.
2*(g + 1)*(5*g - 2)/13
Let l(n) be the second derivative of -n**6/90 - 17*n**5/60 + n**4/12 + 49*n**3/18 - 17*n**2/3 - 885*n. Factor l(h).
-(h - 1)**2*(h + 2)*(h + 17)/3
Let g(i) be the second derivative of i + 0*i**4 + 5/2*i**3 - 45 - 5*i**2 - 1/4*i**5. Factor g(f).
-5*(f - 1)**2*(f + 2)
Factor -3/7*v**2 - 2595/7 + 534/7*v.
-3*(v - 173)*(v - 5)/7
Find l such that -108 - 96*l**4 + 664*l - 51*l**4 - 378*l**3 + 309*l**2 - 340*l = 0.
-3, -6/7, 2/7, 1
Solve 2/3*g + 8/21 - 4/21*g**4 + 2/21*g**5 - 16/21*g**3 - 4/21*g**2 = 0 for g.
-1, 1, 4
Let z(x) = x**2 - 110*x - 236. Let k(l) = -l**2 + 111*l + 234. Let v(t) = 3*k(t) + 2*z(t). Find c such that v(c) = 0.
-2, 115
Let u = -10170 + 10173. Factor -8 + 4/9*j**u + 4*j + 32/9*j**2.
4*(j - 1)*(j + 3)*(j + 6)/9
Let j = 17658031/684420 + 1/136884. Solve 0 + 3*g**5 + 24/5*g**2 + 84/5*g**4 - 36/5*g + j*g**3 = 0.
-3, -2, -1, 0, 2/5
Let j = 279 - 262. Factor 13*s**3 + 39*s + 20 + 19*s + 65*s**2 + 2*s + j*s**3 + 5*s**4.
5*(s + 1)**2*
|
{
"pile_set_name": "DM Mathematics"
}
|
ng 2 a and 1 d.
5/136
Calculate prob of picking 2 l and 2 i when four letters picked without replacement from blqqiiliqillk.
36/715
Calculate prob of picking 2 a and 1 c when three letters picked without replacement from ttttcctttacvcvttaac.
5/323
Three letters picked without replacement from {z: 2, m: 4}. Give prob of picking 1 m and 2 z.
1/5
What is prob of picking 3 a when three letters picked without replacement from {a: 11, s: 1, z: 2}?
165/364
What is prob of picking 2 x and 2 i when four letters picked without replacement from {i: 5, x: 7}?
14/33
Calculate prob of picking 4 x when four letters picked without replacement from {x: 7, o: 5}.
7/99
Three letters picked without replacement from ptnpwpptww. What is prob of picking 2 t and 1 w?
1/40
Calculate prob of picking 2 w when two letters picked without replacement from {k: 4, w: 3}.
1/7
What is prob of picking 2 v, 1 l, and 1 d when four letters picked without replacement from {l: 1, v: 3, d: 1, i: 2}?
3/35
Two letters picked without replacement from tnetsensteef. What is prob of picking 2 s?
1/66
Calculate prob of picking 1 q and 2 g when three letters picked without replacement from gygqeegpyyyee.
3/286
What is prob of picking 3 s when three letters picked without replacement from {s: 9, i: 5}?
3/13
Three letters picked without replacement from {c: 1, l: 3, i: 3}. What is prob of picking 3 i?
1/35
Two letters picked without replacement from gdpgojno. What is prob of picking 1 p and 1 o?
1/14
Calculate prob of picking 1 l, 1 h, and 1 q when three letters picked without replacement from {l: 8, q: 9, h: 1, p: 2}.
6/95
Two letters picked without replacement from {y: 3, u: 3}. What is prob of picking 2 y?
1/5
Four letters picked without replacement from haygwgyghhgawyggwg. Give prob of picking 1 h, 1 a, and 2 y.
1/170
Four letters picked without replacement from {e: 1, j: 3, y: 2, r: 1, w: 3, k: 1}. Give prob of picking 1 r, 1 e, and 2 y.
1/330
Two letters picked without replacement from ccqaioaaocoqcfa. Give prob of picking 1 c and 1 f.
4/105
Two letters picked without replacement from {c: 6, g: 6, b: 3}. Give prob of picking 2 c.
1/7
Calculate prob of picking 1 q, 1 k, and 1 d when three letters picked without replacement from dekbbpq.
1/35
Three letters picked without replacement from jjjjfjfjlljll. What is prob of picking 1 j and 2 f?
7/286
Four letters picked without replacement from jyjkjyycypkkjj. Give prob of picking 1 p, 1 k, 1 c, and 1 j.
15/1001
Three letters picked without replacement from llxzhtxxxtlhzl. Give prob of picking 1 h and 2 x.
3/91
Calculate prob of picking 3 c when three letters picked without replacement from gcgkccgkcgkccckkk.
7/136
Two letters picked without replacement from {g: 1, p: 11, a: 3, v: 1, y: 1, z: 1}. What is prob of picking 1 y and 1 z?
1/153
What is prob of picking 1 x, 1 u, 1 q, and 1 g when four letters picked without replacement from qqxxgqqu?
4/35
Two letters picked without replacement from lllllxlxxlll. Give prob of picking 2 x.
1/22
Four letters picked without replacement from {c: 5, t: 9}. Give prob of picking 4 c.
5/1001
What is prob of picking 1 t and 2 d when three letters picked without replacement from {f: 1, d: 2, p: 13, y: 2, t: 2}?
1/570
Calculate prob of picking 1 q and 1 l when two letters picked without replacement from oooqqluuuuqvqq.
5/91
Four letters picked without replacement from {v: 7, t: 2, w: 3}. Give prob of picking 2 w, 1 v, and 1 t.
14/165
What is prob of picking 2 h when two letters picked without replacement from {h: 16, g: 2}?
40/51
Four letters picked without replacement from zjnisvsn. Give prob of picking 2 s, 1 i, and 1 v.
1/70
Four letters picked without replacement from rewrqwreve. Give prob of picking 3 e and 1 v.
1/210
Four letters picked without replacement from bbbbbrbrbb. What is prob of picking 3 b and 1 r?
8/15
Two letters picked without replacement from rruruuruuu. Give prob of picking 2 r.
2/15
What is prob of picking 1 q, 1 h, and 1 o when three letters picked without replacement from qqqqqoqqqhhhqqqqq?
39/680
Calculate prob of picking 1 t and 3 o when four letters picked without replacement from {l: 1, o: 4, t: 4, e: 1, k: 1, u: 1}.
16/495
Three letters picked without replacement from {t: 1, l: 1, n: 2, j: 2}. Give prob of picking 2 l and 1 t.
0
Two letters picked without replacement from {i: 7, s: 9}. Give prob of picking 1 s and 1 i.
21/40
What is prob of picking 2 l when two letters picked without replacement from wwuwfkglwlfkku?
1/91
Calculate prob of picking 1 p and 1 q when two letters picked without replacement from cpqsssp.
2/21
Two letters picked without replacement from kqgkqkggqkk. What is prob of picking 1 q and 1 k?
3/11
What is prob of picking 4 p when four letters picked without replacement from {p: 6}?
1
Calculate prob of picking 1 r and 1 h when two letters picked without replacement from eejergcjjejhe.
1/78
Three letters picked without replacement from fxxxxffffxxxffff. What is prob of picking 1 x and 2 f?
9/20
What is prob of picking 3 h and 1 e when four letters picked without replacement from hhwhweaeggwagww?
2/1365
Two letters picked without replacement from leelleleelleel. Give prob of picking 2 l.
3/13
Three letters picked without replacement from stfiu. Give prob of picking 1 f, 1 i, and 1 u.
1/10
Two letters picked without replacement from xxdddddwnvyddy. Give prob of picking 1 v and 1 y.
2/91
Two letters picked without replacement from {g: 3, k: 12}. What is prob of picking 2 k?
22/35
Two letters picked without replacement from {a: 5, j: 2}. Give prob of picking 1 j and 1 a.
10/21
Four letters picked without replacement from rlcoycypo. Give prob of picking 1 o, 1 l, 1 c, and 1 r.
2/63
Calculate prob of picking 1 c, 1 j, 1 z, and 1 y when four letters picked without replacement from ccexjzyy.
2/35
Four letters picked without replacement from {b: 1, g: 8, f: 1, n: 6, d: 2}. What is prob of picking 3 d and 1 b?
0
Three letters picked without replacement from dqdqddddddddddqdqddd. Give prob of picking 2 q and 1 d.
8/95
Calculate prob of picking 2 j and 1 b when three letters picked without replacement from {j: 3, a: 2, b: 2, c: 2}.
1/14
Two letters picked without replacement from {t: 6, o: 6, l: 3}. Give prob of picking 1 t and 1 l.
6/35
Calculate prob of picking 1 g, 1 d, and 1 c when three letters picked without replacement from gcggddgcggcgggg.
12/91
What is prob of picking 1 q and 1 e when two letters picked without replacement from gjogenjnqojgoeg?
2/105
Four letters picked without replacement from {v: 1, j: 2, o: 1, r: 2}. What is prob of picking 1 j, 1 r, 1 v, and 1 o?
4/15
What is prob of picking 3 u and 1 q when four letters picked without replacement from uucuccuuqcuuuu?
12/143
Two letters picked without replacement from {j: 2, g: 2, m: 1}. Give prob of picking 1 g and 1 j.
2/5
Three letters picked without replacement from frrbfpm. What is prob of picking 1 r and 2 f?
2/35
Two letters picked without replacement from {b: 2, f: 3, t: 2, g: 1, s: 4}. Give prob of picking 1 s and 1 g.
2/33
What is prob of picking 1 r, 1 y, and 2 e when four letters picked without replacement from {y: 1, e: 11, r: 5}?
55/476
What is prob of picking 2 j and 1 c when three letters picked without replacement from cjcjcj?
9/20
What is prob of picking 1 q, 1 n, and 2 o when four letters picked without replacement from sansvosqqaon?
4/495
Calculate prob of picking 4 e when four letters picked without replacement from {r: 2, e: 4, c: 10}.
1/1820
What is prob of picking 2 v when two letters picked without replacement from vvv?
1
What is prob of picking 1 o and 2 k when three letters picked without replacement from ssokosoksok?
4/55
Three letters picked without replacement from {t: 3, l: 4}. What is prob of picking 1 l and 2 t?
12/35
Two letters picked without replacement from {k: 3, c: 3, i: 1}. Give prob of picking 2 k.
1/7
Two letters picked without replacement from aazazazaaaauaazdba. What is prob of picking 1 b and 1 a?
11/153
Calculate prob of picking 2 b when two letters picked without replacement from bbbbbbbu.
3/4
Calculate prob of picking 1 i and 1 w when two letters picked without replacement from swsimm.
1/15
Calculate prob of picking 1 f, 2 h, and 1 r when four letters picked witho
|
{
"pile_set_name": "DM Mathematics"
}
|
-25*y**3 + 33*y**2 - 71*y - 6. Let h(b) = 10*k(b) + 13*l(b). Let r(p) = p**2 - p + 1. What is h(d) - 5*r(d)?
-3*d**3 - 16*d
Let r(m) = -12*m + 37. Let x(q) = q + 7. Determine -r(n) + 6*x(n).
18*n + 5
Suppose 4*a - 4 = -4*s, 16*a - 2*s - 1 = 17*a. Let j(f) = 19*f**2 - 8*f - 8. Let c(y) = 6*y**2 - 3*y - 3. Give a*j(r) - 8*c(r).
9*r**2
Let a(p) = 5 - 3*p - 2*p**3 - 5*p**2 - 5*p + 3*p. Let i(s) = s**3 + 2*s**2 + 2*s - 2. Let r be 2/3 - (-28)/3. Let u = -9732 + 9736. Determine r*i(f) + u*a(f).
2*f**3
Let t(l) = 53*l**2 + 12*l - 51. Let u(q) = -106*q**2 - 30*q + 101. Calculate -5*t(z) - 2*u(z).
-53*z**2 + 53
Let g(o) = 226*o**3 + 8*o**2 - 7*o - 33. Let w(x) = -x**2 + x + 5. Calculate g(c) + 6*w(c).
226*c**3 + 2*c**2 - c - 3
Let y(o) = -3*o**2 - 5*o + 4. Let x(i) = -i**2 - 2*i + 2. Suppose -6*h = -41 + 11. Let p(a) = 7*a**2 + 41*a - 8. Let q be p(-6). Give h*x(m) + q*y(m).
m**2 + 2
Let x(y) = 6*y**2 + 7. Let k = 5 + -1. Suppose -94 = -k*w + 46. Let l be (14/(-28))/((-8)/80). Let u(c) = -c**2 - 1. Determine l*x(b) + w*u(b).
-5*b**2
Let a(x) = 15 - x - 4 - 10 - x. Let b(n) = 3*n - 1. Let q(l) = -l**2 - 7*l - 4. Let u be q(-7). Calculate u*b(h) - 5*a(h).
-2*h - 1
Let u(j) = 4*j + 56. Let f(w) be the first derivative of -9*w**2/2 - 113*w + 307. What is -2*f(m) - 5*u(m)?
-2*m - 54
Let x(u) = -1151*u - 18. Let c(l) = -286*l - 5. Give 11*c(z) - 3*x(z).
307*z - 1
Let o(v) = -v**2 - 11*v - 8. Let n(k) = k**2 - k - 2. Determine 22*n(s) - 2*o(s).
24*s**2 - 28
Let a(q) = -q**3 + 15*q**2 + 7*q - 7. Suppose -g - g = 14. Let d(b) = 5*b**2 - 216 - 208*b + 441 + 210*b - 227. What is g*d(m) + 2*a(m)?
-2*m**3 - 5*m**2
Let s(u) = -317*u - 2. Let n(g) = 311*g + 1. Determine 4*n(a) + 3*s(a).
293*a - 2
Let r(l) = -223*l - 69. Let b(k) = -111*k - 37. Determine -11*b(f) + 6*r(f).
-117*f - 7
Let m(f) = -4363 - 7*f + f + 14*f + 4368. Let h(k) = k**3 - 7*k - 4. What is 3*h(t) + 2*m(t)?
3*t**3 - 5*t - 2
Let f(r) = -r - 2. Let s(t) = -14*t - 37. Let z be s(-3). Let x(g) = -43*g - z + 22*g + 19*g. Suppose -c + m - 1 = 5*m, -3*m - 12 = -3*c. Give c*x(k) - 8*f(k).
2*k + 1
Let x(i) = -5*i - 249. Let k(o) = 4*o + 213. Let u(v) = -6*k(v) - 5*x(v). Let c(n) = -16. Give 5*c(m) - 2*u(m).
-2*m - 14
Let w(j) = -3*j**3 - 10*j**2 + 3*j + 180. Let v(y) = 2*y**3 + 4*y**2 - y. Determine -3*v(l) - w(l).
-3*l**3 - 2*l**2 - 180
Let k(c) = -17*c - 542. Let i be k(-32). Let r(s) = -7*s + 1. Let g(l) = -l. Determine i*r(n) - 6*g(n).
-8*n + 2
Let t(j) = 169*j**2 + 59*j + 112. Let u(c) = 21*c**2 + 7*c + 14. Calculate -2*t(m) + 17*u(m).
19*m**2 + m + 14
Let l(v) = v**2 + 18*v - 1. Let j(u) = u**2 + 35*u + 17. What is j(q) - 2*l(q)?
-q**2 - q + 19
Let z(b) = -7*b - 2. Let n(h) = h**2 - 2*h + 11. Let v be n(6). Let j(s) be the first derivative of -60*s**2 - 35*s + 7. Calculate v*z(k) - 2*j(k).
-5*k
Let v(i) = -i + 1. Let l be (4299/(-6))/((-5)/10) - 2. Let a(h) = -2865*h + l*h + 1432*h. Let f be -2 + (6/3)/2. Calculate f*a(y) + 3*v(y).
-y + 3
Let p(n) = 2289*n**2 - 6104*n + 3052. Let f(r) = -2*r + 1. Give 3052*f(q) - p(q).
-2289*q**2
Let l be (-20 - -21)*6/(-8)*-4. Let v(n) = 10*n. Let q(a) = 3*a. Give l*v(z) - 12*q(z).
-6*z
Let z(y) = 4*y**2 - 5*y - 3. Let o(v) = 5*v**2 - 6*v - 4. Let q = -28 - -33. Suppose -r = -5, p = q*p - 4*r + 48. Give p*z(g) + 6*o(g).
2*g**2 - g - 3
Let r(h) = 4*h**3 + 3*h**2 - 11*h + 2. Suppose 1188*d = 1084*d - 312. Let w(u) = 7*u**3 + 5*u**2 - 21*u + 5. What is d*w(a) + 5*r(a)?
-a**3 + 8*a - 5
Let q(u) = 907*u**2 - 7*u + 2. Let g(t) = -3628*t**2 + 31*t - 9. Calculate 2*g(i) + 9*q(i).
907*i**2 - i
Let f(n) = -4*n**3 + 2*n**2 + n - 1. Let w(r) be the second derivative of r**5/4 - r**4/4 - r**3/3 + r**2/2 - 9043*r. Determine 3*f(j) + 2*w(j).
-2*j**3 - j - 1
Let t(g) = -g**2 - g + 8. Let d be t(-7). Suppose -124*f = -123*f + 36. Let w = f - d. Let m(c) = 4*c + 1. Let l(k) = 8*k + 2. What is w*l(i) + 5*m(i)?
4*i + 1
Let c(f) = -37*f**2 + 3*f + 394. Let b(u) = 14*u**2 - u + 1. What is -3*b(z) - c(z)?
-5*z**2 - 397
Let o(l) = -4*l - 6. Let m(k) = -5*k - 7. Suppose 15*v + 219 = 4*y + 10*v, 4*y - 229 = -5*v. Suppose n - 50 = -y. What is n*o(u) + 5*m(u)?
-u + 1
Let b(u) = 3*u**2 - 3. Let i = 2 - 11. Let k(z) = 7. Let g(y) = 3. Let c(s) = 1. Let l(j) = 3*c(j) - 2*g(j). Let d(n) = i*l(n) - 4*k(n). Give b(h) - 4*d(h).
3*h**2 + 1
Let m(g) = -g**3. Let p(d) = 14*d**3 - 1. Let w = 3726 - 3720. Determine w*m(t) + p(t).
8*t**3 - 1
Let h(u) = 13*u**2 - 6*u + 6. Let c(k) = 7 - 62*k**2 + 137*k**2 + 80*k - 61*k**2 - 87*k. Suppose -n = v + 7, 0 = -3*n - 3*v + 4*v - 21. What is n*h(j) + 6*c(j)?
-7*j**2
Let a(m) = 100*m + 45. Let x(c) = 54*c + 6 - 45*c - 2. Let d(s) = 4*a(s) - 45*x(s). Let i(g) = -g. Determine 3*d(h) - 21*i(h).
6*h
Let l(m) = -15*m**2 - 2*m - 2. Let b be 3/1 - (-11 + -27). Let h = 30 - b. Let w(u) = 8*u**2 + u + 1. Suppose -6*v - 29 = 7. Give h*w(o) + v*l(o).
2*o**2 + o + 1
Let y(w) = w. Let p(l) be the first derivative of 5*l**3/6 + 3*l**2/2 + 4*l - 39. Let g(r) be the first derivative of p(r). Determine -g(n) + 6*y(n).
n - 3
Let d(r) = r**2 - 3. Let p(q) = -q**2 - 1. Suppose -4*j = 10 + 6. Let z be 1 + -5 - j*(-9)/(-12). Give z*d(f) + 3*p(f).
-4*f**2
Let q(x) = 88*x + 3. Let h(t) = 89*t + 1. Calculate 6*h(s) - 5*q(s).
94*s - 9
Let s(i) = i**2 - 27*i + 116. Let c(g) = -g**2 + 13*g - 1. Determine -4*c(v) - 2*s(v).
2*v**2 + 2*v - 228
Let a(b) = -2*b**3 + 2*b**2 + b - 1. Let i(s) = 13*s**3 - s**2 - 4*s + 1. Determine -3*a(m) - i(m).
-7*m**3 - 5*m**2 + m + 2
Let y(j) = j**2 - 8*j + 17. Let k(a) = a**2 - 7*a + 16. Let t be (-1030)/206*(0 - -1). Calculate t*y(q) + 6*k(q).
q**2 - 2*q + 11
Let m(h) = h**2 + h - 3. Let n(d) = 15*d**2 + 4*d + 15. Give -5*m(f) - n(f).
-20*f**2 - 9*f
Let f(s) = 4*s**3 - 18*s**2 - 20*s - 59. Let p(y) = -2*y**3 + 8*y**2 + 9*y + 29. Determine 4*f(b) + 9*p(b).
-2*b**3 + b + 25
Let g(u) = -19*u**3 - 8*u**2 - 16*u - 27. Let k(q) = -31*q**3 - 14*q**2 - 32*q - 56. Give -5*g(d) + 3*k(d).
2*d**3 - 2*d**2 - 16*d - 33
Let p(r) = -5*r**3 - 19*r**2 - 10*r - 6. Let m(w) = 2*w**3 + 10*w**2 + 6*w + 4. Give 5*m(k) + 3*p(k).
-5*k**3 - 7*k**2 + 2
Let h(v) = v**2 + 94*v - 2690. Let j be h(23). Let y(k) = 3*k + 1. Let p(f) = -f + 1. What is j*y(a) - 3*p(a)?
6*a - 2
Let o(a) = 1 + 50*a + 11*a**2 - 4*a**2 - 51*a - 1. Let l(t) = -2*t - 23. Let r be l(-11). Let v(g) = -g**2 + g - 1. What is r*o(y) - v(y)?
-6*y**2 + 1
Let g(q) = 4838*q**2 - 5*q - 5. Let a(n) = 2418*n**2 - 2*n - 2. What is 10*a(k) - 4*g(k)?
4828*k**2
Let i(f) = 247*f + 16. Let r(j) = 245*j + 19. Determine -5*i(h) + 4*r(h).
-255*h - 4
Let z be 16/4 + (-2)/(-2). Let v(b) = -2*b**2 + 3*b + 0*b + z + 2*b. Let l(t) = -227*t + 449*t - t**2 + 95 + 103 - 219*t - 195. Determine 5*l(w) - 3*v(w).
w**2
Let j(u) = 2*u**3 - u**2 - u - 1. Let v(t) = -16*t**3 + 6*t**2 + 6*t + 44. Determine 30*j(o) + 5*v(o).
-20*o**3 + 190
Let q(u) = -11*u + 7. Let d(a) = -5*a + 3. Let i = 200 - 203. Let s be 3/((-1)/i*9/2). What is s*q(t) - 5*d(t)?
3*t - 1
Let h(r) = 11*r**3 - 8*r**2 + 3*r + 17. Let x(t) be the first derivative of 7*t**4/4 - 5*t**3/3 + t**2 + 11*t + 2866. Determine 5*h(a) - 8*x(a).
-a**3 - a - 3
Let t(o) = -26*o**3 - 21*o**2 + 2426*o - 31. Let m(a) = -5*a**3 - 4*a**2 + 483*a - 6. What is 31*m(j) - 6*t(j)?
j**3 + 2*j**2 + 417*j
Let n = 587 - 585. Let s(i) = i**2 - 2. Let r be s(2). Let q(m) = -16 + 7*m**2 + 4*m**3 - n*m**r - 3*m**3 - 6*m**2. Let b(t) = 3. Determine 11*b(j) + 2*q(j).
2*j**3 - 2*j**2 + 1
Suppose f + 5*m = -135 + 108, -2*f = 2*m + 46. Let n(q) = q + 8. Let r(t) = -23 + 6 + 8 + 10. Give f*r(c) + 2*n(c).
2*c - 6
Let p(t) = 5*t**3 - 12*t**2 - 30*t - 1547. Let l(c) = c**3 - 2*c**2 - 5*c - 1. What is -6*l(u) + p(u)?
-u**3 - 1541
Let s(c) = -c. Suppose -f - 13 + 33 = 0. Let m be 3 - (204/(-85) - (-4)/10). Let t be 5/2*2/m. Let a(r) = 24*r. What is f*s(k) + t*a(k)?
4*k
Let p(r) = 0*r + 8*r - r**3 + 5 - 6*r**2 + 3*r**3. Let l be 250/(-50) + (-1)/(-2)*-2. Let n(m) = m**2 - m - 1. What is l*n(o) - p(o)?
-2*o**3 - 2*o + 1
Let j(i) = -i - 1. Suppose 3*l - 2 = -5*m - 0, 2*m = 3*l + 26. Let p(g) = 28*g - 2. Give m*j(u) - p(u).
-32*u - 2
Let m(d) = d**2 - 9*d + 39. Let o(a) = a**2 - a - 29. Calculate -m(c) + 4*o(c).
3*c**2 + 5*c - 155
Suppose 9*l = 6*l - 12, 2*l + 3 = f. Let c(v) = -7*v**2 - 6. Let r(n) = -1. Calculate f*r(i) + c(i).
-7*i
|
{
"pile_set_name": "DM Mathematics"
}
|
12
In base 11, what is 10 - 851259?
-851249
In base 2, what is -10101011001010101010010 + 0?
-10101011001010101010010
In base 13, what is -38955 + -b85?
-3980a
In base 15, what is -2d + -4486da?
-448718
In base 12, what is -20952661 + 0?
-20952661
In base 12, what is -7 + 3421b3?
3421a8
In base 10, what is 114 + -3106501?
-3106387
In base 9, what is 556237376 - 5?
556237371
In base 13, what is -33ab97b - 13?
-33ab991
In base 16, what is -3df3 - -436?
-39bd
In base 4, what is -1212 + 132000312?
131333100
In base 14, what is 3 - 2d4879?
-2d4876
In base 15, what is 20068 + -a3?
1eeb5
In base 3, what is 10200001202110 + 20?
10200001202200
In base 15, what is 3da38 + c7?
3db10
In base 16, what is -b - c0c9d9?
-c0c9e4
In base 11, what is -931 + -54925a?
-54a090
In base 9, what is -7233252 - -15?
-7233236
In base 3, what is 22122100200 - 122200?
22121201000
In base 8, what is -3 - -5332723?
5332720
In base 15, what is 1b - -17b544?
17b560
In base 6, what is 5 + 32551340?
32551345
In base 4, what is -10330 + 1210121301?
1210110311
In base 14, what is -109 + 4b664?
4b559
In base 10, what is -63143 + -4423?
-67566
In base 2, what is 110011000 + 10000110100000111?
10000111010011111
In base 4, what is -1020230 - 112130?
-1133020
In base 16, what is ad2a + ac3?
b7ed
In base 10, what is 5112 - 596?
4516
In base 10, what is 7 + -5837270?
-5837263
In base 14, what is -555d3d0 + -21?
-555d411
In base 6, what is -343 + 301004?
300221
In base 6, what is -402452431 + -21?
-402452452
In base 2, what is 1010100011101 - -10010101111101011?
10100000100001000
In base 4, what is 110122212 + -20322?
110101230
In base 16, what is -61b6 - 1a02?
-7bb8
In base 2, what is -10001100100100011 + 100111?
-10001100011111100
In base 15, what is 495b + 11e9?
5b55
In base 11, what is 6470592 - 24?
6470569
In base 5, what is -123303 + -10143?
-134001
In base 3, what is -1210 + 22012211002120?
22012211000210
In base 13, what is -1 + 58c7ab?
58c7aa
In base 7, what is 14034025 + -141?
14033554
In base 6, what is 2 - -1515041053?
1515041055
In base 16, what is 1014 + 355?
1369
In base 2, what is 1000111001110110111100010000 - 1001?
1000111001110110111100000111
In base 9, what is 31 + -580240?
-580208
In base 13, what is -280392 + -44?
-280406
In base 2, what is 1 - 1111101010000111001110?
-1111101010000111001101
In base 2, what is 0 + -100010100000000011?
-100010100000000011
In base 14, what is -3 + -6dc1aa?
-6dc1ad
In base 2, what is 11 + -10100100101001110100?
-10100100101001110001
In base 14, what is 12b064a90 - -5?
12b064a95
In base 4, what is -122220 + -12012?
-200232
In base 8, what is 565603 + -116?
565465
In base 11, what is 387 - -2521a?
255a6
In base 3, what is -2001210202122 - -1202?
-2001210200220
In base 4, what is -1100310101 + 101?
-1100310000
In base 10, what is -98 + -171300?
-171398
In base 3, what is -10222121002 - 1101?
-10222122110
In base 11, what is 521606 - a?
5215a7
In base 11, what is -1a0655493 + -2?
-1a0655495
In base 4, what is 3303000111 + -11?
3303000100
In base 12, what is 11 - 94346?
-94335
In base 3, what is -201122011 - 1100021?
-202222102
In base 8, what is -47 - -170?
121
In base 4, what is 1120 + 101111?
102231
In base 4, what is -1332211131 - 23?
-1332211220
In base 9, what is 26 - -880304?
880331
In base 16, what is -a1 + -3bd2f?
-3bdd0
In base 13, what is 64b8 - 286?
6232
In base 8, what is -5036 + 2643?
-2173
In base 5, what is -1202 - 24130331?
-24132033
In base 3, what is -212122220 + -111021?
-220011011
In base 13, what is -2c3c - 1c06a?
-21ca9
In base 7, what is 14546 - -1261?
16140
In base 9, what is 583 + -10552?
-8858
In base 13, what is -60869 + -60?
-608c9
In base 5, what is 31 - -402114224?
402114310
In base 5, what is 10024233 - 4213?
10020020
In base 9, what is 2458 + 861?
3430
In base 5, what is 4 + -223311323?
-223311314
In base 11, what is 66052a - 15?
660515
In base 4, what is -100303312 + 20322?
-100222330
In base 15, what is -19ebd - 315?
-1a2d3
In base 5, what is 14 - -1310134?
1310203
In base 4, what is -3221231001 + -133?
-3221231200
In base 8, what is -22 + 327330354?
327330332
In base 15, what is -2e - -74b673?
74b644
In base 9, what is 21 + -76068?
-76047
In base 10, what is 211 + 695655?
695866
In base 12, what is -a4 - -11575?
11491
In base 8, what is 424636433 + -5?
424636426
In base 9, what is -836 - 255073?
-256020
In base 5, what is 303413021 - -12213?
303430234
In base 4, what is 121131122201000 + 10?
121131122201010
In base 16, what is -1bdc1 - -18e?
-1bc33
In base 15, what is 4 - -d0bdec?
d0be01
In base 16, what is 8 - -152f47?
152f4f
In base 6, what is 35540 + -1230052?
-1150112
In base 12, what is -2 + 9613572a?
96135728
In base 9, what is -17 - 310463?
-310481
In base 14, what is 36 - -624cd?
62525
In base 8, what is -2436 + -1234257?
-1236715
In base 16, what is -201 - -130e?
110d
In base 7, what is -3 + -50533320?
-50533323
In base 14, what is -16 + -3123c6?
-3123dc
In base 10, what is -10041 - 68156?
-78197
In base 10, what is 154196 - 976?
153220
In base 16, what is -14a5e43 - 2?
-14a5e45
In base 5, what is -1 - -12132310401?
12132310400
In base 7, what is 45025 + 5240?
53265
In base 15, what is 2190c + -14?
218e8
In base 8, what is -261 + 17030551?
17030270
In base 9, what is 375 + -68211?
-67725
In base 7, what is -34043145536 + -4?
-34043145543
In base 2, what is -11100111 + -1010011001101111010001?
-1010011001110010111000
In base 13, what is -12 - 355b6b?
-355b80
In base 14, what is c - 474697?
-474689
In base 4, what is -2023 - 220331030?
-220333113
In base 11, what is -523a56 + 3?
-523a53
In base 7, what is -1064 + 4662405?
4661311
In base 8, what is -1236 - -24210?
22752
In base 12, what is -32321 - -75?
-32268
In base 9, what is 3 + -2301625?
-2301622
In base 13, what is 17a0602 + 0?
17a0602
In base 10, what is 10396 - 63590?
-53194
In base 11, what is -15549432 - 0?
-15549432
In base 4, what is -1232301002 + 10?
-1232300332
In base 10, what is -72 + -2177436?
-2177508
In base 3, what is 1001011 + -102021200?
-101020112
In base 6, what is 3122334243 + 2?
3122334245
In base 8, what is 514511754 + -3?
514511751
In base 10, what is -2361981 - -460?
-2361521
In base 9, what is -41 + -27446358?
-27446410
In base 8, what is -40002777 - -7?
-40002770
In base 6, what is -5 + 15543554155?
15543554150
In base 4, what is -100130020120 + 11?
-100130020103
In base 16, what is -249 + -4572c?
-45975
In base 12, what is -36293 - 157?
-3642a
In base 15, what is 20a - 23a4?
-2199
In base 14, what is 6 - -157802?
157808
In base 12, what is 7 - a0b4a56?
-a0b4a4b
In base 14, what is 12c892 - -1a6?
12ca58
In base 12, what is 335585a + 4?
3355862
In base 2, what is -101001011 + 1000101010011101?
1000100101010010
In base 11, what is 3515 - 2906?
70a
In base 11, what is -957a07 - -1?
-957a06
In base 8, what is -111 + -1137624?
-1137735
In base 9, what is 245 - 2334475?
-2334230
In base 7, what is -5614 - 560136?
-566053
In base 4, what is -213221 + 102300?
-110321
In base 15, what is -1a808 + d5?
-1a723
In base 11, what is 973564a1 + 0?
973564a1
In base 13, what is 2791123 + -48?
27910a8
In base 15, what is 653e8 + -67?
65381
In base 13, what is 964a + 6088?
12705
In base 7, what is -42 - 30253301?
-30253343
In base 3, what is -1110001 - -211001011?
202121010
In base 14, what is 4ad - 72559?
-7208a
In base 2, what is 110000 + -1100000011001001101?
-1100000011000011101
In base 3, what is -1 + 220020200001220?
220020200001212
In base 3, what is 10 - -10022000011201?
10022000011211
In base 2, what is 11011 + 11010001010000?
11010001101011
In base 10, what is 4 - -3161582?
3161586
In base 7, what is 2146 - -11633?
14112
In base 9, what is 50728 + 754?
51583
In base 12, what is -27b - -157358?
157099
In base 3, what is -1220 + 20101212020?
20101210100
In base 13, what is 286c86 + -85?
286c01
In base 10, what is 73884259 - -1?
73884260
In base 3, what is -21121100 + -2010102?
-100201202
In base 6, what is 11050510513 + -23?
11050510450
In base 13, what is 322c442 - 2?
322c440
In base 13, what is -3b0b25b + -2?
-3b0b260
In base 14, what is a7c43 + -40?
a7c03
In base 9, what is -8225 + -13418?
-22644
In base 10, what is -677059 + 25?
-677034
In base 10, what is -1 - -4707782?
4707781
In base 9, what is -36 + 7568420?
7568373
I
|
{
"pile_set_name": "DM Mathematics"
}
|
lve -2*g - 3 = 3*j - q*j, 3*g = 2*j - 4 for g.
-2
Let d(c) = c**3 - 14*c**2 + 18*c + 29. Let x be d(13). Suppose 89*t = x*t. Solve l - 3*a + 12 = -t*a, 0 = -l - 2*a + 13 for l.
3
Let a(c) = c**3 + 5*c**2 - 14*c - 5. Let n be a(-7). Let x be ((-12)/(-16))/((10/(-8))/n). Solve -5*j - 8 = -x*d, -j = -4*j + d - 4 for j.
-1
Let s = 83 - 79. Suppose -28 = -2*n + s*n. Let a(l) = l**3 + 14*l**2 + 2. Let i be a(n). Solve 0*v - 3*r - 6 = -2*v, -r = i*v + 10 for v.
-3
Let i = -10126 + 10140. Solve -x + i*z + 5 = 15*z, 0 = -2*x - 4*z + 16 for x.
2
Let f(l) = l**3 + 8*l**2 + 5*l + 24. Let w be f(-7). Let c = 52 - w. Solve -t + 10 = 2*h, 0 = -3*h + 2*t + c + 1 for h.
5
Let y be (-12 - -24)*((-8)/6 - -2). Suppose 4*j - x - 46 = 2*j, -4*j = -5*x - 80. Suppose -y*k + 13*k = j. Solve 3*d = r - 2 + k, d + r + 3 = 0 for d.
0
Let r be (-2)/5 + (-352)/(-55) + -1. Suppose 90 = 4*l + r*l. Suppose 5*o - z = -l + 35, 0 = 4*z. Solve o*p + 4 + 9 = v, 2*p + 4*v + 14 = 0 for p.
-3
Let s = -50 - -44. Let v be 3/6*s*10/3. Let p be (2/(-5) - v/25)/(-2). Solve p = -2*q - 8, -2*n = -5*n + 2*q + 23 for n.
5
Let z be (-1)/((-3)/27) + -2. Suppose 288*q = 293*q + 4*s - 29, -3*q + 17 = 2*s. Solve -2*u = 0, z = -q*c + 2*u - 8 for c.
-3
Let h(o) = 4*o + 20. Let d be h(-6). Let q be d + (9 - (18/(-3) - -4)). Solve -5*j - 47 = -5*r - 2, 3*j + r + q = 0 for j.
-4
Suppose -210 = 19*t - 26*t. Suppose 311*n = 305*n + t. Solve -5*h = -n, -l + h + 3 = 2*h for l.
2
Let s = -19578 + 19583. Solve -2*o = -s*o + 6*r - 9, -o + 5*r = 6 for o.
-1
Suppose -3*h + 3*j + 440 = h, 0 = h + 4*j - 91. Suppose -h = -12*c + 61. Solve 3*t + 9 = 3*z, 0*t + c = 2*t + 2*z for t.
2
Suppose 0*u - 2*u + 18 = 0. Suppose u*b = -b + 30. Suppose 2*s + 1 = b*s. Solve p + 2 = -5*n + s, -2*p = 2 for n.
0
Let w be 56/112*(-64)/(-2). Solve -34*z + 30*z + 3*f + w = 0, 0 = z + 4*f + 15 for z.
1
Let t(x) = -4*x**2 + x. Suppose -31*k - 5 = -36*k. Let q be t(k). Let j be ((-10)/q)/((-10)/(-15)). Solve 0 = -3*u + j*c + 25, 0 = -3*u - 3*c + 4*c + 17 for u.
5
Suppose 2*w - 7 - 36 = -3*t, -1 = w - 3*t. Suppose -4*v + w = 2*r, -7 + 2 = -5*v. Solve -4*b + 9*b + 17 = -g, 5 = -r*g - 5*b for g.
3
Suppose -157 = 4*o - 3*z - 139, -24 = -2*o - 4*z. Solve -4*a + 2*g + 28 = o, -a - g - 3 + 4 = 0 for a.
5
Suppose -1322*u + 1314*u = -16. Let w = -12 + 18. Solve 7*m - 2*m - 2*y = w, 2*m - u*y = 6 for m.
0
Suppose 7584 = -78*x + 66*x. Let h = x + 635. Solve -k = -5, -h*v - 5 = 5*k - 24 for v.
-2
Suppose -3*p = -5*n + 2426 - 665, -2*p - 2*n = 1190. Let c = -592 - p. Solve -3*j + 4*a - 13 = c, -5 = -j - 2*a + 4 for j.
1
Suppose 0 = 2*l - 3*l - 4*v + 6, 5*v - 5 = 0. Solve -z - 5 = -2*f, z = -l*z + f - 10 for z.
-3
Suppose -18*j = -376 - 164. Solve j = 5*t + y, -4*y = 3*t - 7*t for t.
5
Let c(q) = q**3 - 14*q**2 - 33*q + 21. Let z(g) = g**3 - 10*g**2 - 10*g + 5. Let v be z(11). Let w be c(v). Solve -4*t - 2*a - 2*a = -8, -w*t + 18 = -3*a for t.
3
Let r be ((-12)/10)/(9/(-75)). Suppose r*i - 130 = -50. Solve 0*x = x + t + 2, 0 = 4*x + t + i for x.
-2
Suppose -90 = -3*j - 4*r, -406*j - 46 = -408*j + 2*r. Solve -b = t - 8, j = b + b + 4*t for b.
3
Let o be 2/5 + 12/(-5) + -11 + 13. Solve -4*v = 2*n + 16, o = -5*n - 3*v + 55 - 60 for n.
2
Let i(g) = g**2 + 22*g + 38. Let w be i(-21). Suppose 15*z + 8 = w*z. Solve -4*d = -2*n - 7 + 19, -z = -d + 4*n for d.
-4
Suppose -2837*g - 114 = -2856*g. Solve 4*f = o + g*f - 3, 5*f = -2*o + 10 for o.
-5
Suppose 21*s - 45 = 12*s. Let k = -13 + 24. Suppose p + k = 2*j, -22 - 8 = -s*j + 3*p. Solve -15 = -j*y, a - y + 18 = 3*y for a.
2
Let o = -77 - -144. Let m = o - 41. Let b be (-3 - 1) + (-5)/(15/(-48)). Solve -4*x - m = -3*w, -w + x + b = -x for w.
2
Let v be -2 + 1199 + -3*16/12. Suppose 5*a - 1288 = -v. Solve f - a = -4*y, -f - f + 6 = 0 for y.
4
Let i = 2941 + -2938. Solve -2*t + 4 = 4*r, 3*r - i*t - 19 = -25 for r.
0
Let z = -1590 + 1605. Suppose m - 9 = -2*m. Suppose 0 = 5*o + 20, -7 - 11 = -2*w + m*o. Solve -w*v - 2*q - 14 = 0, 2*v + 5 + z = -4*q for v.
-2
Let k(a) = 4*a**2 - 19*a - 3. Suppose -12*r + 51 = -9. Let b be k(r). Solve -q + b*h = 1, 3 = -4*q + 2*q + 3*h for q.
-3
Let d be -1 + 2/(-3)*(15 - 24) + 0. Solve 3*k - 2*a - 15 = 0, -77*k + d*a + 30 = -72*k for k.
3
Let f be (-5)/(-15)*1*9. Let a be (-666)/(-14) + (-88)/154. Suppose 2*v = -8, -5*l + a = f*v - 6. Solve -4*o = -z - z + 2, 0 = -4*o + 5*z + l for o.
-3
Let p = -271 - -275. Let v be ((-4)/(-8)*p)/((-8)/(-16)). Solve j + 4*a = 21, a + v = j + 3 for j.
5
Suppose -l - l = 3*h - 5, 0 = -2*h + 2*l + 10. Solve -d + 11 = -h*r + 1, 0 = 3*r + 12 for d.
-2
Let w(k) = -2*k**3 + 23*k**2 + 11*k + 12. Let v be w(12). Solve -2*u + 5*i + 15 = v, 4*u - 3*u + 3*i + 20 = 0 for u.
-5
Suppose 0 = -2*a - 5*g + 15, g + 50 = -a + 59. Solve 5*v - 4*u = -32, -4*v + 6*u - 8*u - a = 0 for v.
-4
Suppose 0*z + z = 5*s - 39, -5*s = 4*z + 206. Let o = z - -68. Let d = o - 15. Solve 4*x - x - w = 4, -x - 5*w - d = 0 for x.
1
Suppose -q = -2 - 0. Suppose -2*g + q = 0, 5*n - 4*g = 10 + 11. Suppose -233 = 111*o - 677. Solve -n*w - j = 4*j, -j = 3*w + o for w.
-2
Let m be 8/3*(-204)/8. Let y = -64 - m. Suppose 5*w - 120 = 5*k, 4*w - k - 122 + 20 = 0. Solve -f - 2 = -i, 2*i + w = -8*f + y*f for f.
-5
Let i be (-18)/(-30)*13 - 1/(-5). Solve -l + i - 4 = 2*a, -3*a + 5*l - 7 = 0 for a.
1
Suppose -1057 - 493 = -62*x. Solve -q + 4*z = x, 0 = -3*q - 2*q - 5*z for q.
-5
Let n(r) = r**3 - 5*r**2 - r + 10. Let a be n(5). Suppose -10*b = -a*b - 7*b. Solve -5*j = 2*z + 20, -z = -b*z - 2*j - 8 for z.
0
Suppose -18 = -6*q, -3*q + 5 = -z + 2*q. Let k(x) = -x**3 + 12*x**2 - 18*x - 17. Let s be k(z). Solve -15 = -5*l + 2*t - t, l = 4*t + s for l.
3
Suppose 144 + 8 = 2*c. Suppose 0 = 3*q - c + 22. Suppose y + 2*p = 4*p + 18, q = 2*y + 2*p. Solve 3*b + d = y, 35 - 8 = 3*b - 4*d for b.
5
Let q = -4474 - -4478. Solve -5*t + 20 = 4*y, -4*y + 19 + 1 = -q*t for t.
0
Suppose 35*v + 8*v = 129. Solve -v*z = 2*i - 0*z - 25, 3*z = 5*i - 10 for i.
5
Suppose 5*o + 3 = 4*m, 38*o - 3*m = 40*o - 8. Solve -3 = -3*n, -h + 8 = 2*n + o for h.
5
Suppose 6*b - 27 = -3*b. Let c = 111 - 76. Let q be c/5*12/21. Solve -b*v + q*a = 21, -2*v + 0*v - 5*a = -9 for v.
-3
Let d be 65/9 + -1 + 46*58/(-12006). Suppose 6 = -4*u + 26. Solve 4*w = k + 2*w - u, -3*k = w + d for k.
-1
Suppose 5*w - 24 = 4*w + 5*t, -2*t = -4*w + 24. Solve -a - 2*a = -5*s - 15, 25 = w*s + 5*a for s.
0
Let j be 0/((2 - 2) + -1). Suppose j = 11*x + 7 + 26. Let t be ((-2)/(-6))/(x/(-27)). Solve 2*f = -t*y + 3, -3*y - f + 5*f + 21 = 0 for y.
3
Let c be 7/(21/(-2))*216/3. Let f be 93/21 - c/(-112). Solve 0 = -3*a + 5*k + 7 + 15, 2*a + f*k = 0 for a.
4
Suppose 8*d - 474 = -210. Solve -c = 4*s + 11 + 5, -2*c + 5*s = -d for c.
4
Let c(f) be the first derivative of -4*f**3/3 + 8*f**2 + f - 19. Let j be c(3). Suppose -5*a - j = -43. Solve -4*q + 7 = o - a, o = -5*q + 15 for o.
5
Let b be (-3)/(-12) + 15/(-12) - -3. Let w be 2/10 - (-48)/10. Solve 5 = -4*s - 7, -b*s - 11 = w*d for d.
-1
Let z = 1027 + -1008. Let u(a) = a + 4. Let b be u(3). Solve -4*g + b + 9 = -3*x, -z = 5*x + g for x.
-4
Let i(y) = -2*y**2 + 14*y - 22. Let x be i(4). Let n be 1/(-2) + 3/x. Solve -b = -2 - 2, -3*g = -2*b - n for g.
3
Suppose -20*o + 81 = 1. Solve 2*s - o*v = -8 + 28, -4*s - 4*v - 20 = 0 for s.
0
Let z be (70/(-21) + 13/39)/(-1). Solve z*v - 3*a + 4 = 22, -5*v + 24 = a for v.
5
Suppose 4*z = 3*c - 10 - 185, 195 = 3*c + 4*z. Let f = 83 - c. Solve 5*h - 26 = t, -f = 2*t - 3*h - 1 for t.
-1
Suppose -3*f + 1098*p = 1100*p - 10, -25 = f - 5*p. Solve -r + 2*l - 7*l - 23 = f, 5*r = 2*l - 7 for r.
-3
Let i = 35917 + -35913. Solve 20*a - i*t - 2 = 15*a, 2*a + t = -7 for a.
-2
Suppose -3*v = v - 204. Let j = -47 + v. Suppose -x + 0*u + 6 = u, -3*x - 3 = -j*u. Solve -2*l + x*c + 14 = 0, -5*l - 3*c + 12 = c for l.
4
Let i be (-40)/(-8) - (1 + -1). Let j = -844 + 848. Solve i*c = -0*c + 5, -1 = -b + j*c for b.
5
Suppose 5*r = -98 + 68, -6 = -4*s - 3*r. Solve -3*d - 5 = 3*k + 13, 0 = -k - s*d - 36 for k.
0
Let g = -2728 + 2738. Solve -4*i - 10 = -6*i + 2*l, g = -i - 2*l for i.
0
Let o be (1 - -1) + (-6 - 1). Let p be 0/((5 + 0)/o). Solve p = -3*s + 3*t - 0*t + 9, 9 = 3*s + 5*t for s.
3
Let h(t) = -t**2 - 9*t + 3. Let a be h(-6). Let i = 1908 + -1905. Solve -4*o - a = -2*b - i*b, 5*b - 1 = -o for
|
{
"pile_set_name": "DM Mathematics"
}
|
tween 3:13 PM and 9:27 PM?
374
How many minutes are there between 4:40 AM and 6:43 AM?
123
What is 156 minutes before 4:30 AM?
1:54 AM
How many minutes are there between 1:17 AM and 1:04 PM?
707
How many minutes are there between 5:24 PM and 12:34 AM?
430
How many minutes are there between 2:18 AM and 4:13 AM?
115
How many minutes are there between 6:14 AM and 5:54 PM?
700
What is 137 minutes after 2:13 AM?
4:30 AM
What is 609 minutes before 2:13 PM?
4:04 AM
How many minutes are there between 7:39 PM and 11:10 PM?
211
What is 20 minutes before 11:01 PM?
10:41 PM
What is 321 minutes before 7:43 PM?
2:22 PM
What is 251 minutes before 12:32 PM?
8:21 AM
What is 609 minutes after 12:04 PM?
10:13 PM
What is 128 minutes after 12:19 AM?
2:27 AM
What is 581 minutes after 11:56 PM?
9:37 AM
How many minutes are there between 8:14 AM and 7:56 PM?
702
How many minutes are there between 3:18 AM and 12:03 PM?
525
How many minutes are there between 2:47 PM and 5:20 PM?
153
How many minutes are there between 7:44 AM and 3:38 PM?
474
What is 488 minutes after 5:20 AM?
1:28 PM
How many minutes are there between 11:36 PM and 10:20 AM?
644
What is 373 minutes before 6:53 AM?
12:40 AM
What is 388 minutes before 7:09 AM?
12:41 AM
What is 620 minutes after 7:05 PM?
5:25 AM
What is 408 minutes after 1:28 PM?
8:16 PM
How many minutes are there between 4:21 AM and 3:02 PM?
641
How many minutes are there between 6:38 AM and 8:35 AM?
117
How many minutes are there between 12:05 AM and 11:07 AM?
662
How many minutes are there between 2:08 AM and 6:59 AM?
291
What is 48 minutes after 12:36 PM?
1:24 PM
How many minutes are there between 2:33 AM and 10:20 AM?
467
How many minutes are there between 5:51 PM and 1:28 AM?
457
How many minutes are there between 12:17 AM and 1:46 AM?
89
How many minutes are there between 1:16 PM and 3:45 PM?
149
How many minutes are there between 3:32 PM and 3:04 AM?
692
How many minutes are there between 2:19 AM and 8:31 AM?
372
How many minutes are there between 5:34 AM and 1:28 PM?
474
How many minutes are there between 1:46 AM and 8:40 AM?
414
What is 685 minutes before 2:54 PM?
3:29 AM
How many minutes are there between 10:34 AM and 12:31 PM?
117
What is 665 minutes before 3:45 PM?
4:40 AM
How many minutes are there between 2:35 AM and 1:53 PM?
678
What is 681 minutes after 10:39 PM?
10:00 AM
How many minutes are there between 2:14 AM and 1:01 PM?
647
How many minutes are there between 7:55 AM and 1:27 PM?
332
What is 386 minutes after 6:29 AM?
12:55 PM
What is 130 minutes before 12:54 PM?
10:44 AM
What is 690 minutes after 3:04 PM?
2:34 AM
How many minutes are there between 7:17 PM and 1:59 AM?
402
How many minutes are there between 4:36 AM and 5:09 AM?
33
How many minutes are there between 6:19 AM and 3:11 PM?
532
What is 173 minutes after 10:43 PM?
1:36 AM
What is 320 minutes before 3:32 AM?
10:12 PM
What is 539 minutes before 3:27 PM?
6:28 AM
How many minutes are there between 6:06 AM and 6:46 AM?
40
What is 591 minutes before 8:00 AM?
10:09 PM
What is 371 minutes before 6:53 AM?
12:42 AM
What is 670 minutes after 8:53 PM?
8:03 AM
What is 424 minutes after 4:46 AM?
11:50 AM
What is 643 minutes after 5:33 PM?
4:16 AM
What is 418 minutes before 1:33 PM?
6:35 AM
What is 328 minutes after 5:04 AM?
10:32 AM
What is 130 minutes after 10:31 AM?
12:41 PM
How many minutes are there between 1:35 AM and 7:12 AM?
337
How many minutes are there between 10:02 AM and 11:46 AM?
104
How many minutes are there between 3:57 PM and 6:22 PM?
145
What is 170 minutes before 11:41 PM?
8:51 PM
How many minutes are there between 5:44 PM and 4:46 AM?
662
What is 385 minutes before 1:00 PM?
6:35 AM
How many minutes are there between 2:42 PM and 5:17 PM?
155
What is 217 minutes before 10:33 AM?
6:56 AM
What is 707 minutes after 7:27 PM?
7:14 AM
What is 423 minutes before 9:51 PM?
2:48 PM
How many minutes are there between 4:28 AM and 9:51 AM?
323
What is 235 minutes after 10:53 AM?
2:48 PM
What is 130 minutes before 6:54 AM?
4:44 AM
What is 693 minutes after 7:43 PM?
7:16 AM
What is 321 minutes after 12:38 AM?
5:59 AM
How many minutes are there between 10:11 AM and 7:18 PM?
547
How many minutes are there between 6:31 AM and 11:10 AM?
279
What is 630 minutes after 2:50 AM?
1:20 PM
What is 321 minutes before 9:37 PM?
4:16 PM
How many minutes are there between 1:20 PM and 3:53 PM?
153
What is 304 minutes before 4:13 PM?
11:09 AM
What is 657 minutes before 7:45 AM?
8:48 PM
How many minutes are there between 11:10 AM and 11:45 AM?
35
What is 160 minutes before 3:22 AM?
12:42 AM
What is 10 minutes before 6:13 AM?
6:03 AM
What is 317 minutes after 1:55 PM?
7:12 PM
What is 322 minutes before 4:48 AM?
11:26 PM
How many minutes are there between 10:14 AM and 6:59 PM?
525
What is 505 minutes before 5:21 AM?
8:56 PM
How many minutes are there between 11:54 PM and 8:31 AM?
517
How many minutes are there between 3:03 AM and 5:25 AM?
142
How many minutes are there between 4:39 AM and 10:16 AM?
337
What is 144 minutes before 12:55 PM?
10:31 AM
What is 342 minutes before 2:01 PM?
8:19 AM
How many minutes are there between 3:22 AM and 6:17 AM?
175
How many minutes are there between 9:01 AM and 11:47 AM?
166
What is 607 minutes after 10:26 AM?
8:33 PM
How many minutes are there between 5:36 AM and 6:01 AM?
25
How many minutes are there between 10:33 AM and 8:30 PM?
597
What is 496 minutes before 9:02 PM?
12:46 PM
How many minutes are there between 6:34 PM and 5:26 AM?
652
What is 185 minutes before 4:16 AM?
1:11 AM
How many minutes are there between 11:13 PM and 11:55 PM?
42
What is 591 minutes after 2:43 AM?
12:34 PM
How many minutes are there between 7:08 AM and 10:22 AM?
194
How many minutes are there between 5:23 AM and 12:51 PM?
448
What is 371 minutes after 10:37 PM?
4:48 AM
What is 36 minutes after 3:15 PM?
3:51 PM
What is 244 minutes before 7:49 AM?
3:45 AM
How many minutes are there between 2:48 AM and 1:27 PM?
639
What is 277 minutes before 3:09 AM?
10:32 PM
How many minutes are there between 4:58 AM and 4:29 PM?
691
How many minutes are there between 7:09 PM and 3:22 AM?
493
What is 676 minutes before 8:31 PM?
9:15 AM
What is 408 minutes after 11:26 PM?
6:14 AM
How many minutes are there between 5:32 AM and 5:57 AM?
25
What is 53 minutes before 8:43 AM?
7:50 AM
How many minutes are there between 5:32 AM and 4:41 PM?
669
How many minutes are there between 2:04 PM and 9:42 PM?
458
What is 25 minutes after 12:46 AM?
1:11 AM
What is 715 minutes after 3:15 PM?
3:10 AM
How many minutes are there between 4:24 AM and 8:30 AM?
246
What is 661 minutes after 11:40 PM?
10:41 AM
How many minutes are there between 6:32 PM and 10:15 PM?
223
What is 111 minutes before 11:38 PM?
9:47 PM
How many minutes are there between 2:53 AM and 5:31 AM?
158
How many minutes are there between 5:41 PM and 5:29 AM?
708
How many minutes are there between 12:28 PM and 2:25 PM?
117
How many minutes are there between 4:03 AM and 6:43 AM?
160
What is 323 minutes before 4:10 AM?
10:47 PM
What is 309 minutes after 2:41 PM?
7:50 PM
How many minutes are there between 4:07 AM and 3:17 PM?
670
What is 443 minutes after 8:48 AM?
4:11 PM
What is 243 minutes before 9:27 AM?
5:24 AM
What is 104 minutes before 12:28 AM?
10:44 PM
What is 609 minutes before 6:20 PM?
8:11 AM
How many minutes are there between 2:58 AM and 4:39 AM?
101
What is 560 minutes after 6:53 AM?
4:13 PM
How many minutes are there between 3:05 AM and 4:52 AM?
107
How many minutes are there between 10:18 AM and 9:05 PM?
647
What is 607 minutes before 2:47 AM?
4:40 PM
How many minutes are there between 3:00 PM and 9:16 PM?
376
How many minutes are there between 1:08 AM and 4:37 AM?
209
How many minutes are there between 2:14 AM and 4:26 AM?
132
What is 376 minutes before 10:06 AM?
3:50 AM
How many minutes are there between 2:01 AM and 8:39 AM?
398
What is 660 minutes before 7:20 PM?
8:20 AM
How many minutes are there between 2:49 AM and 11:34 AM?
525
What is 662 minutes after 6:22 AM?
5:24 PM
What is 231 minutes after 4:08 PM?
7:59 PM
What is 610 minutes after 9:15 PM?
7:25 AM
What is 11 minutes after 10:50 PM?
11:01 PM
What is 394 minutes after 10:01 PM?
4:35 AM
How many minutes are there between 1:20 PM and 12:17 AM?
657
What is 209 minutes after 2:
|
{
"pile_set_name": "DM Mathematics"
}
|
and (-3*c - 3*c + 0*c)*(1 - 1 - 14*c)*(0 - 1 - 1) + 3*c - 3*c - 3*c**2.
-171*c**2
Expand (-3*m + 6*m + m)*(0*m + 3*m + m)*(0*m + 108 - 2*m - 148).
-32*m**3 - 640*m**2
Expand (-2*i**2 + 0*i**2 + 7*i**2)*(2 + 19 + 4)*(0 + 0 - 2*i)*(2 - 1 + 0).
-250*i**3
Expand (-1 - 3 - 1)*((0 - c + 0)*(0 + 1 - 2) - 4*c - 3*c - 10*c)*(-1 + 1 + c) + 4*c**2 - 3*c**2 - 2*c**2.
79*c**2
Expand (-3*h + 4*h - 2*h)*(-2*h + 5*h - 8*h - 15*h - 9).
20*h**2 + 9*h
Expand (-2*u + 3 - 3)*(1 - 3 + 4) + (-1 - 3 + 3)*(-10 + 10 - 33*u) + u + u - u.
30*u
Expand (-2*u + 2*u - 3*u)*(2 + 3 - 1) + 0*u + 0*u + 4*u.
-8*u
Expand (-2*r + 3*r - 2*r + (3*r - 4*r + 3*r)*(-4 - 8 - 1))*(3 - 3 + 5*r**3 + (-2 - 3 + 4)*(2*r - r**3 - 2*r)).
-162*r**4
Expand (-3*n + 0*n + n)*(1 + 28*n**3 + 0*n**3 - 51*n**3).
46*n**4 - 2*n
Expand (3 - 2 - 4 + (0 - 7 + 2)*(1 + 2 + 0))*(-22*v**4 + 48*v**4 - 20*v**4).
-108*v**4
Expand ((-2 + 1 + 2)*(-1 + 3 + 0) - 4 + 1 + 5 + 0 - 2 + 1 + 4 + 0 + 4 + 12 - 7 - 17)*(-3*c + c + c).
c
Expand (3*u**4 + 0*u**4 - 2*u**4)*(-3*u - 2*u + 3*u) + (3*u**2 - u**5 - 3*u**2)*(312 - 91 + 2051).
-2274*u**5
Expand (-5806 - 22*j**3 + 118*j**3 + 5810)*(0*j**2 - 4*j**2 + 2*j**2).
-192*j**5 - 8*j**2
Expand 3*o - o + 3*o + (-4*o + 0*o + 2*o)*(4 - 3 - 2) + 2*o - 2*o + 2*o + (-32*o + 15*o - 25 + 18*o)*(-3 + 1 + 3).
10*o - 25
Expand -52*q**2 - 31*q**2 + 50*q**2 + (q + 0*q + q)*(2*q + 2 - 2) + (-2*q - 1 + 1)*(0*q + 0*q - q) + 4*q**2 - 5*q**2 + 3*q**2 - q**2 + 3*q - 3*q.
-26*q**2
Expand (-2*u**2 - u + u)*(-11*u - 13*u - 20*u) + 2*u + 0*u**3 + u**3 - 4*u**3.
85*u**3 + 2*u
Expand (-4*d + 0 + 2*d + 2)*(348*d + 116*d + 415*d - 174*d).
-1410*d**2 + 1410*d
Expand -4*z**5 + 0*z**5 + 2*z**5 - 4*z**5 - 9*z**3 + 9*z**3 + (3*z**2 - 3*z**2 + z**2)*(-5*z**3 - 2*z**3 + 4*z**3) - 83*z**2 + 30*z**5 + 83*z**2.
21*z**5
Expand -c**2 - c + c + (c**2 - c**2 - 2*c**2)*(0 - 1 + 0) + 48*c**2 - 38*c**2 - 54*c**2.
-43*c**2
Expand (25 - 25 - 18*h)*(0 - 2 + 0)*(h - 4*h**3 - h).
-144*h**4
Expand 2*v + v + 4*v + (3 + 1 + 2)*(5*v + 0*v + 0*v).
37*v
Expand (0 + 1 + 1)*(2 + u - 2) - 2*u + 7 + u - 5.
u + 2
Expand 22*i - 2*i - 4*i + (2*i + 0*i - 5*i)*(0 + 0 - 1) - i + 0*i - 4*i.
14*i
Expand (10 + 3*x**2 - 16 - 2)*(2 + 0 + 4).
18*x**2 - 48
Expand (c**4 - 3*c**4 - c**5 + 13*c**2 + 3*c**5)*(3 - 5 + 10).
16*c**5 - 16*c**4 + 104*c**2
Expand (-5*y + y + 3*y)*(-12*y**2 + 0*y**2 + y**2)*(4 + y + 2*y**2 + 0*y**2 - 12).
22*y**5 + 11*y**4 - 88*y**3
Expand (2*w + w**2 - 2*w + 5*w**2 - 4*w + 4*w + (-2 - 1 + 1)*(-w**2 - 4*w**2 + 4*w**2) + 2*w**2 + 2*w**2 + w**2)*(-10*w + 10*w + 5*w**3).
65*w**5
Expand (3*k**2 - 4*k**2 + 3*k**2)*(k + 6*k - k)*(0*k + 3*k - 4*k) + (5*k**2 - 3*k**2 - 4*k**2)*(519 - 519 + 28*k**2) - 6*k**4 - 6*k**2 + 6*k**2.
-74*k**4
Expand (-7*h + 4*h - 5*h)*(2 - 2 + 2*h**2)*(-1 - 1 + 4)*(0 - 2 + 4) + (-h - 3*h + 3*h)*(-3*h**2 + 479 - 479).
-61*h**3
Expand -54 + 42 + 9 - 96*z + (6 - 2 - 2)*(-2*z + 2*z - z).
-98*z - 3
Expand (2*i - 4*i + i + (-3*i + 4*i - 4*i)*(-1 + 5 - 3 - 6 + 7 - 6 + (2 - 1 - 2)*(6 - 1 - 3) - 6 + 1 + 4))*(-i + 4*i - 5*i).
-40*i**2
Expand (-17*d - 65*d + 2*d)*(8*d**4 + 4*d - 4*d).
-640*d**5
Expand (3 - 22 - 7 - 8)*(-95 + 4*n + 95).
-136*n
Expand (111 - 81 + 126)*(2*v**2 + 0*v**2 - 3*v**2).
-156*v**2
Expand -5*d + 5*d + 2*d**2 + 288*d - 288*d - 40*d**2 + (0*d + 4*d - 2*d)*(-3*d - 1 + 1) + 0*d**2 - 2*d**2 + 0*d**2 + 4*d**2 - 6*d**2 + 0*d**2.
-48*d**2
Expand (4*r - 3*r - 3*r)*((-1 + 1 + 2)*(-4 + 1 + 4) + 4 + 1 - 4).
-6*r
Expand (-19*d + 19*d + 6*d**2)*(0*d + 2*d + 0*d + (2 - 3 - 1)*(-3*d + 0*d + 2*d) + 0*d + d + d).
36*d**3
Expand (190*j + 37*j + 87*j)*(0*j**3 - j**3 - j**3) + 2*j**4 + 0*j**4 + 0*j**4.
-626*j**4
Expand (0 - 2*z**3 + 0)*(1 - 4 + 57)*(2*z**2 + 3*z**2 - 4*z**2).
-108*z**5
Expand -3*s**2 + 3*s**2 + s**3 + (5*s**2 - 4*s**2 - 2*s**2)*(-3*s + 3*s - s) - 11 + 11 + 18*s**3.
20*s**3
Expand (-4*z + 5*z + z + (2*z + 0*z - 4*z)*(0 + 5 - 3))*(-13*z - 16*z - 35*z).
128*z**2
Expand 3*s**3 + 0*s**3 + s**3 + (1 + 0 - 3)*(-6*s**3 + 0*s**3 - 2*s**3).
20*s**3
Expand (-52 + 5 + 0)*(w**2 - 2*w**2 + 2*w**2).
-47*w**2
Expand (-8*h + 19*h + 14*h)*(-3 + 3 - 1) - h - 7*h - 5*h.
-38*h
Expand (i + 1 - 1)*(-8*i + 1 + 11*i - 6*i).
-3*i**2 + i
Expand (-2*p - p + 4*p)*(-3*p**2 - 2*p**4 + 3*p**2) + (-p**3 - p**3 + 0*p**3)*(2 - 2 + 3*p)*(-20*p + 44*p - 17*p - 2).
-44*p**5 + 12*p**4
Expand (-54 + 21 - l + 19)*(1 + 0 + 1).
-2*l - 28
Expand (-1 + 0 + 3)*(62 - 7*u - 60 + 2*u).
-10*u + 4
Expand (-2 - 1 + 0)*(2*x + 2 - 2) + (4 - 2*x - 4)*(0 - 5 + 1).
2*x
Expand (4 - 1 - 1 + (-2 + 4 + 0)*(1 + 1 - 4) - 6 + 4 + 3 + 1 - 2 + 0)*(-3 - l**3 + 3) - 59*l**3 + 90*l**3 - 62*l**3.
-29*l**3
Expand (-3*o**3 + 0*o**3 + 2*o**3)*(-15*o**2 + 752 - 752) - 4*o**5 - 4*o**5 + 7*o**5 + 6*o**5.
20*o**5
Expand 5*l**3 - 5*l**3 - 5*l**4 + (1 + 2 - 5)*(-l**4 - 3*l**4 + 2*l**4) + 3*l**4 - 76*l**4 + 12*l**4.
-62*l**4
Expand 3*q**3 + 0*q + 0*q - 4*q**3 + 2*q**3 - q**3 + (2*q - 1 + 1)*(-2*q**2 - 3 + 3) + (q**2 + 0*q**2 + q**2)*(-2*q + 2*q + 2*q) + 7*q - 7*q - 5*q**3.
-5*q**3
Expand (2*a**3 - 17*a**3 + 3*a**3)*(26*a**2 + 188*a - 188*a).
-312*a**5
Expand 0 + 2*v**2 + 0 + (9*v - 2*v + 2*v)*(-1 + 6 - 3)*(-29*v - 16*v + 7*v).
-682*v**2
Expand -2*t**4 + t**4 + 3*t**4 + (-t**3 - 2 + 2)*(t + 2*t + 0*t) - 1 + 1 - t**4 - 2*t**4 - 3*t**4 - 4*t**4.
-11*t**4
Expand (0*u**2 + u**2 - 2*u**2)*(49 + 35 + 355) + (6*u - 2*u - 2*u)*(-4*u - 3*u + 6*u).
-441*u**2
Expand 5*h**2 - 7*h**2 - 2*h**2 + (656 + 100*h - 656)*(0*h + 0*h - 2*h).
-204*h**2
Expand (-6 + 2 + 2)*(-v - 4*v + 6*v) - 264*v - 79*v - 227*v - 60*v.
-632*v
Expand (-1 + 1 - 1)*(t**2 - 1 + 1)*(14*t + 8*t + 5 - 21*t).
-t**3 - 5*t**2
Expand (2*q + 2*q - 11*q)*(-2*q + 44 + 8*q**3 - 44).
-56*q**4 + 14*q**2
Expand (-12*z - 14 + 14)*(0*z + 4*z - 3*z - z + 0*z - z - z - 2 + 2 - z - z + 3*z + (-2*z + z + 3*z)*(3 + 0 - 1) + 3*z + 0 + 0 - 2*z - 3*z + 7*z).
-96*z**2
Expand (-3 + 5 - 3)*(-7*o + 2*o + 3*o) - 12 + 772*o + 38 - 12 - 14.
774*o
Expand (-4 + 4*v + 4)*(259*v - 138*v + 109*v).
920*v**2
Expand (5 + 2 - 5)*(-2*w - w**5 + 2*w) - 561*w**5 - 2532 + 2532 - 54*w**5.
-617*w**5
Expand (38*i**2 - 104*i + 106*i + 53*i**2)*(4 - 1 - 5).
-182*i**2 - 4*i
Expand (6*q**4 + 0*q**4 + 2*q**4)*(0 + 1 - 3) + (2*q**3 + 0*q**3 - q**3)*(0*q + 2*q - q) + (-4*q**2 + 4*q**2 - q**3)*(q + 2*q - q).
-17*q**4
Expand 440 + 26*n - 440 + 3*n + 3*n - 4*n - 5*n + n + 3*n + (3*n - 2*n - 3*n)*(4 - 5 + 2) + n - n - 2*n.
23*n
Expand 3961*g**4 + 3*g**3 - g**3 - 3870*g**4 + 2*g**4 + g - g + (g**2 - g**2 - 2*g**3)*(0 - 2*g + 0).
97*g**4 + 2*g**3
Expand -31*d**2 - 25*d**2 + 23*d**2 - d + (0 + 2 + 0)*(8*d - 8*d - 2*d**2).
-37*d**2 - d
Expand (11626 - 11626 - 324*p)*(-4*p + 0*p + 2*p).
648*p**2
Expand 3*v**2 - 2*v**2 + 2*v**2 + v**2 + 2*v**2 - 2*v**2 + (-v - 2*v + 2*v)*(3 - 3 - 2*v) + 70*v**2 + 4*v + 110*v**2 - 4*v.
186*v**2
Expand (3 - z**2 - 3)*(-1 + 2 + 0) + 0*z - 2*z**2 + 0*z + (-z - 1 + 5 + 1)*(4*z - 5*z - 3*z).
z**2 - 20*z
Expand 0*q**3 + 3*q**3 - 2*q**3 + (-q + 3*q - q)*(3*q - 3*q - q**2) + 0*q - q**3 + 0*q + 73*q**3 - 144*q**3 - 71*q + 74*q**3.
2*q**3 - 71*q
Expand (0*s + 3*s - 4*s - 1)*(-1659 - 982 + 1062 - 986).
2565*s + 2565
Expand -h + 0 + 0 - 4*h + h + 2*h + 0*h - h - h + (-2 + 2 - h)*(1 - 1 - 1) - 1 + h + 1 + 28*h + 37*h + 17*h.
80*h
Expand (2 + 2 - 1)*(-3 + 3 + 3)*(-8 - 17*o**2 + 8).
-153*o**2
Expand (1 - 1 + m**2)*(2 - 2 + 5*m)*(3 - 1 - 3)*(-47*m - 26*m - 11*m).
420*m**4
Expand (d + 0*d + 4*d)*(-2*d + 2*d + 5*d)*((-3 - 1 + 5)*(-2*d + d + 2*d) + d + d + 0*d - 2 - d + 2 + 4*d - 5*d - 3*d).
-50*d**3
Expand (7*i - i - 3*i)*(-i + 0*i + 0*i)*(26 + 3 + 34).
-189*i**2
Expand -2*v + v**2 + 2*v + (-v**2 - 6*v**2 + 6*v**2)*(1 - 3 + 5) + (0*v + 2*v**2 + 0*v)*(3 + 0 - 1).
2*v**2
Expand ((-2*z**2 + 2*z**2 + 2*z**2)*(-1 + 1 + 2) + 2 - 2 - 2*z**2 + 292*z - 292*z - 79*z**2)*(-3 + 3 + 2*z).
-154*z**3
Expand (16 + 26 + 3 + (3 - 1 - 3)*(3 + 1 - 5))*(k - 5*k + k).
-138*k
Expand ((2*h - 5*h + 2*h)*(2 - 2 - 1) + 7 - 16 + h + 19)*(-h**4 + h - h).
-2*h**5 - 10*h**4
Expand (-f + 3*f + 0*f)*(-1893*f - 5 + 1895*f + 1).
4*f**2 - 8*f
Expand -4*t - t - t + (4 - 4 - t)*(0 - 3 + 2) + 2*t - 4*t + 4*t + (-3 + 0 + 0)*(4*t + 2*t - 4*t).
-9*t
Expand (151 + 59 + 153 - 94 + 23)*(-4*t**4 + 0*t**4 + 0*t**4).
-1168*t**4
Expand (5*a - 2*a - a)*(-2 + 2 + 3*a) + (4*a**2 - 8*a + 10*a - 3*a**2)*(1 + 1 - 3 + 0 + 0 -
|
{
"pile_set_name": "DM Mathematics"
}
|
376
Calculate the least common multiple of 60378 and 10.
301890
Calculate the least common multiple of 2 and 92.
92
What is the smallest common multiple of 1624 and 1?
1624
What is the common denominator of 101/8 and -57/52?
104
What is the smallest common multiple of 72 and 126?
504
Calculate the common denominator of 55/32 and -3/10.
160
Calculate the common denominator of 107/230 and 61/6.
690
Find the common denominator of -6/2167 and 3/77.
15169
Calculate the common denominator of 56/415 and -33.
415
Find the common denominator of -115/392 and -55/294.
1176
Calculate the least common multiple of 337 and 2.
674
What is the common denominator of 47/72 and 97/48?
144
Calculate the least common multiple of 594 and 90.
2970
What is the least common multiple of 4266 and 14?
29862
Calculate the smallest common multiple of 20 and 14.
140
Calculate the lowest common multiple of 392 and 6.
1176
Calculate the smallest common multiple of 90 and 72.
360
What is the smallest common multiple of 90 and 42?
630
Find the common denominator of 95/1122 and -41/60.
11220
What is the least common multiple of 3 and 441?
441
Find the common denominator of -13/6 and -39/721.
4326
What is the common denominator of -73/8 and -37/110?
440
What is the common denominator of -25/462 and -52/77?
462
Find the common denominator of -19/520 and 69/40.
520
Calculate the lowest common multiple of 57 and 9.
171
What is the common denominator of 61/228 and 55/12?
228
What is the common denominator of -17/108 and 5/162?
324
Calculate the common denominator of -61/12 and -71/616.
1848
Calculate the least common multiple of 25 and 54.
1350
Calculate the common denominator of 23/64 and -45/256.
256
Calculate the common denominator of -103/170 and 20/187.
1870
What is the common denominator of -67/330 and -49/360?
3960
What is the smallest common multiple of 4617 and 190?
46170
What is the least common multiple of 52 and 280?
3640
Find the common denominator of -97/112 and 27/32.
224
Find the common denominator of 4/6095 and -39/1855.
42665
What is the lowest common multiple of 426 and 4?
852
Find the common denominator of 37/5 and 18/305.
305
What is the common denominator of -71/94 and 35/9?
846
Calculate the common denominator of 127/182 and -71/18.
1638
Calculate the smallest common multiple of 44 and 1089.
4356
What is the common denominator of 16 and 71/2208?
2208
What is the common denominator of -21/242 and -38/11?
242
What is the smallest common multiple of 273 and 234?
1638
Calculate the common denominator of 19/18 and -83/94584.
283752
What is the common denominator of -43/128 and 57/40?
640
What is the lowest common multiple of 143 and 1144?
1144
Calculate the common denominator of -22 and 29/1760.
1760
What is the least common multiple of 9 and 128?
1152
Calculate the lowest common multiple of 1356 and 1808.
5424
What is the least common multiple of 203 and 14?
406
What is the common denominator of -131/3300 and 2/9?
9900
What is the lowest common multiple of 4 and 45?
180
What is the common denominator of 19/25 and -52/5?
25
Calculate the least common multiple of 4023 and 30.
40230
What is the common denominator of 23/33 and 157/528?
528
What is the common denominator of -89/36 and -107/78?
468
Find the common denominator of -67/1548 and -32/11.
17028
Find the common denominator of 31/1026 and -23/378.
7182
Calculate the common denominator of -1/91 and 73/1344.
17472
Calculate the common denominator of -55/296 and 85/8.
296
Calculate the common denominator of -33/245 and -121/70.
490
What is the smallest common multiple of 117 and 18?
234
What is the lowest common multiple of 75 and 15?
75
Calculate the common denominator of -67/10 and 7/1881.
18810
What is the least common multiple of 183 and 33?
2013
Calculate the lowest common multiple of 78 and 143.
858
What is the common denominator of 61/288 and -11/112?
2016
Calculate the least common multiple of 6 and 66.
66
What is the smallest common multiple of 108 and 351?
1404
Calculate the lowest common multiple of 12 and 6.
12
What is the smallest common multiple of 27 and 312?
2808
Calculate the common denominator of 37/288 and -7/18.
288
Calculate the least common multiple of 51 and 85.
255
What is the common denominator of -8/11 and 19/23397?
23397
Find the common denominator of -13/1615 and 2/235.
75905
Calculate the smallest common multiple of 368 and 118.
21712
Find the common denominator of 11/518 and -79/740.
5180
What is the least common multiple of 451 and 23?
10373
Find the common denominator of -47/32 and 41/44.
352
What is the common denominator of -1/40 and -49/4115?
32920
What is the lowest common multiple of 1845 and 153?
31365
Calculate the lowest common multiple of 4 and 536.
536
What is the common denominator of 67/2454 and -109/24?
9816
Calculate the common denominator of 97/210 and 139/168.
840
Calculate the common denominator of -19/144 and 26.
144
Calculate the lowest common multiple of 88 and 56.
616
Calculate the smallest common multiple of 17 and 1615.
1615
What is the common denominator of 119/36 and -7/9?
36
What is the least common multiple of 312 and 130?
1560
What is the lowest common multiple of 99 and 506?
4554
What is the lowest common multiple of 1320 and 1155?
9240
Calculate the smallest common multiple of 1386 and 198.
1386
What is the least common multiple of 3141 and 27?
9423
Calculate the smallest common multiple of 9610 and 6727.
67270
What is the lowest common multiple of 144 and 162?
1296
Calculate the lowest common multiple of 2613 and 2211.
28743
What is the least common multiple of 24 and 534?
2136
What is the least common multiple of 10296 and 936?
10296
What is the smallest common multiple of 2823 and 24?
22584
What is the common denominator of -61/176 and 127/132?
528
Calculate the common denominator of 27/3056 and 13/4202.
33616
What is the common denominator of 103/3150 and 41/2475?
34650
Calculate the smallest common multiple of 28 and 14.
28
What is the common denominator of 29/278 and -109/14?
1946
What is the common denominator of 1/11179 and 3/11?
122969
Calculate the common denominator of 113/1290 and 43/3.
1290
What is the smallest common multiple of 506 and 22?
506
What is the lowest common multiple of 80 and 50?
400
Find the common denominator of -67/6 and -52/19.
114
What is the common denominator of 25/434 and 47/124?
868
Find the common denominator of 46/7 and -54/295.
2065
What is the lowest common multiple of 4 and 186?
372
Find the common denominator of -57/638 and 9/406.
4466
Calculate the smallest common multiple of 16 and 64.
64
Calculate the common denominator of -41/18 and 53/3124.
28116
Calculate the lowest common multiple of 252 and 216.
1512
What is the least common multiple of 16 and 8?
16
Calculate the common denominator of 11/226 and -87/8.
904
Find the common denominator of -59/120 and -63/44.
1320
Find the common denominator of 39/16 and -97/2332.
9328
What is the lowest common multiple of 13326 and 4?
26652
What is the common denominator of 61/30 and -125/36?
180
Find the common denominator of 47/24 and -151/1188.
2376
Calculate the common denominator of -11/34 and -29/17.
34
Calculate the least common multiple of 12 and 4.
12
What is the smallest common multiple of 30 and 522?
2610
Calculate the smallest common multiple of 1034 and 47.
1034
Find the common denominator of 43/1760 and 21/3520.
3520
Calculate the lowest common multiple of 5543 and 1446.
33258
Calculate the least common multiple of 480 and 432.
4320
Find the common denominator of -74/711 and -61/36.
2844
Calculate the lowest common multiple of 150 and 135.
1350
Find the common denominator of -45/22 and -63/20.
220
Calculate the common denominator of 67/3 and -2/107.
321
What is the lowest common multiple of 114 and 57?
114
What is the least common multiple of 2464 and 16?
2464
Calculate the least common multiple of 2358 and 1310.
11790
Calculate the least common multiple of 55 and 7.
385
Find the common denominator of 17 and -25/23828.
23828
Find the common denominator of 47/35 and -6/125.
875
Find the common denominator of 13/472 and -37/14.
3304
Calculate the smallest common multiple of 399 and 11.
4389
Calculate the lowest common multiple of 348 and 174.
348
Calculate t
|
{
"pile_set_name": "DM Mathematics"
}
|
h(35). What is the greatest common divisor of 306 and d?
102
Suppose -1222*f = -1214*f - 56. What is the highest common factor of 1085 and f?
7
Let z = -129 + 139. Let y(o) = -9*o**3 - o. Let i be y(-1). What is the greatest common factor of z and i?
10
Suppose 5*u = 4*u + 16. Let n = u + -3. What is the greatest common divisor of 143 and n?
13
Let h be 41/5 - 1/5. Let v = -7 + 9. Let c be 52/60 - v/(-15). What is the greatest common factor of c and h?
1
Let v(n) = -n**3 - 6*n**2 - 2*n - 9. Let u be v(-4). Let r = 59 + u. Suppose 5*b - 3*l - 1158 = 0, 0 = l + 2 - 6. What is the highest common divisor of r and b?
26
Let z = 107 + -70. Calculate the highest common divisor of z and 37.
37
Let f = 641 + -585. Calculate the greatest common factor of f and 63.
7
Let x(u) = 2*u**3 - 4*u**2 + 8*u. Let p be x(3). What is the highest common divisor of 182 and p?
14
Let w = 71 - 71. Suppose 4*v + w*v - 324 = -2*y, 4*y = 5*v - 392. What is the highest common divisor of v and 32?
16
Suppose -3*w + 10*w = 77. Let m be 8 - -6 - (1 + 2). Calculate the highest common factor of m and w.
11
Let t(r) = 74*r**2 - 16*r - 92. Let z be t(-6). Calculate the highest common divisor of 116 and z.
116
Let b be (-4)/(-1 - -2)*-1. Suppose -2*j = -4*t + b - 16, 3*j = 2*t + 30. Suppose 0 = -a + 28 + j. What is the highest common factor of 10 and a?
10
Suppose -5 = -4*b + 3. Suppose 0 = -3*h + 15, 59 + 119 = -b*a - 4*h. Let p = a - -249. What is the highest common factor of p and 30?
30
Let g be -1*(-16 - (-2 + 5)). Suppose 2*d - 6 - 8 = 0. Suppose 3*q + 3*u - d - 65 = 0, -2*u = 5*q - 105. Calculate the highest common divisor of q and g.
19
Let w(i) = -34*i - 5. Let h(p) = -17*p - 2. Let g(l) = 14*h(l) - 6*w(l). Let r be g(-2). Suppose -2*c + r = -80. What is the highest common factor of 30 and c?
15
Let p be (140/(-12) + 3)*-21. Calculate the highest common factor of 26 and p.
26
Let g(o) = o**3 + 8*o**2 - o + 10. Let m be 3/2 + (-136)/16. Let z be g(m). What is the highest common divisor of 11 and z?
11
Suppose 6*i - 3*b = 4*i + 821, i + b = 403. Calculate the greatest common factor of i and 14.
14
Let y be -1 + (-131)/(-3) - (-4)/(-6). Let i = -6 + 10. Suppose -a + f = -i*a + 188, -a = f - 62. What is the highest common factor of a and y?
21
Suppose 5*z - 77 + 14 = 3*n, 2*n = 5*z - 67. Suppose -10 - z = -j. Calculate the greatest common divisor of j and 25.
25
Let x = 78 - -31. Suppose 4*y = -0*y - 5*k + x, 0 = -y - 5*k + 31. Let a(z) = -2*z - 9. Let h be a(-11). Calculate the greatest common divisor of y and h.
13
Suppose -9 + 6 = -v, i - 69 = -v. Calculate the greatest common factor of 99 and i.
33
Let a be (-23779)/(-602) + (1 - (-1)/(-2)). What is the highest common divisor of a and 32?
8
Let f = 319 + -96. Suppose -895 = -4*g - f. Suppose -13 = 5*i - 118. What is the greatest common factor of g and i?
21
Let y(s) = -26*s + 79. Let o be y(-21). What is the greatest common divisor of 5 and o?
5
Let d(q) = -7*q - 63. Let b be d(-11). What is the highest common divisor of 266 and b?
14
Let f = 122 - 101. Calculate the greatest common factor of f and 546.
21
Suppose 115 - 25 = 3*d. Suppose -3*f + d = -90. What is the highest common factor of f and 5?
5
Let s be ((-24)/20)/(15/(-1150)). What is the highest common divisor of s and 299?
23
Suppose n + 2 = 3*n. Let x = 7 + -4. Suppose h = r - 7, 5*r + 4 = -x*h + 47. What is the greatest common divisor of r and n?
1
Let a be (2 - 1)*1 + (-399)/7. Let o be ((-472)/(-14) + (-16)/a)*1. What is the highest common factor of o and 34?
34
Let a(o) = -o**3 - 8*o**2 - 3*o + 18. Let l be a(-8). What is the greatest common factor of l and 525?
21
Let j = -10 - -11. Let i be (20/16)/(j/4). Suppose 5*g - 4 - 2 = y, -51 = -i*y - 2*g. Calculate the greatest common factor of 81 and y.
9
Let m(r) = -9*r - 51. Let a be m(-6). Let n = 17 - 14. Calculate the greatest common factor of a and n.
3
Let c(b) = -b - 30 + 31 + 58 - b. Let y be c(12). What is the greatest common factor of 7 and y?
7
Let t be 208/(-10)*(-9 - 1). Let a(v) = v**3 - 20*v**2 - 41*v - 40. Let r be a(22). Calculate the highest common divisor of t and r.
26
Let n be (16/(-6))/1*(-1 - 50). Let w be (1/(-2))/((-2)/68). What is the greatest common factor of w and n?
17
Suppose -3*k - 3 = -6. Suppose -o = -5*o + 28. What is the greatest common divisor of k and o?
1
Let i(v) = -v - 23. Let z be i(0). Let f = 24 + z. Suppose 0 = a - f - 1. Calculate the highest common divisor of 10 and a.
2
Suppose -1 = -3*s - 3*v - 10, 5*v = 2*s - 29. Suppose -3*l = -y + 60, -2*y - s*l + 105 = -3*l. What is the greatest common divisor of y and 68?
17
Let j(v) be the second derivative of -v**4/12 - 5*v**3/2 - 15*v**2/2 - 8*v. Let k be j(-13). What is the greatest common divisor of k and 77?
11
Suppose -5*s = 4*n - 72, -n + 13 + 5 = 4*s. Calculate the greatest common divisor of 306 and n.
18
Let j(r) = -r - 6. Let h be j(-8). Suppose 0 = -4*d + h*d + 144. Suppose 0 = -9*w + 13*w - 32. What is the greatest common factor of w and d?
8
Let g be 20/90 - (158/(-18) - -4). Suppose 4*r = -4*k + 16, -6*k + 4*k + 7 = r. What is the highest common factor of g and r?
1
Let j be -4 - (-2 - -1)*274. Suppose -6*u + 324 = -j. What is the highest common divisor of u and 11?
11
Suppose 108*o - 111*o = -108. What is the highest common factor of 48 and o?
12
Let g be (-54)/(-135) + (5274/15 - 1). What is the greatest common divisor of 18 and g?
9
Suppose -23 = -o + 3. Let h be 1/(-2 + (-313)/(-156)). What is the greatest common divisor of h and o?
26
Let j = 1413 - -703. Calculate the highest common factor of 92 and j.
92
Let r be (-3*(-18)/(-8))/((-27)/144). Calculate the greatest common factor of 162 and r.
18
Let w be (-22 + 1)/((-53)/159). Calculate the highest common divisor of w and 168.
21
Let s = -243 - -249. Let u(m) = m**2 - 4*m - 3. Let a be u(-2). What is the greatest common divisor of a and s?
3
Suppose 4*g + 1 = 17. Let n(q) = q - 2. Let s be n(g). Suppose x - 5*u - 12 = 6, -s*x - u + 25 = 0. Calculate the greatest common divisor of 117 and x.
13
Let k(r) = -9*r**3 + r**2 + r + 1. Let y be k(-1). Let l = y + 0. Let w = -597 + 627. Calculate the greatest common divisor of l and w.
10
Suppose 0 = -4*d + 3*q + 51, -d + 0 = 4*q + 11. Calculate the highest common divisor of d and 33.
3
Let j(z) = -z**2 - 14*z + 16. Let w be j(-13). Suppose 25 = 4*g + w. Let d be g/((-164)/80 - -2). What is the greatest common divisor of 60 and d?
20
Let o = -132 - -197. Let j = o + -17. What is the greatest common factor of 18 and j?
6
Suppose 5*m + 4*b - b - 1224 = 0, 0 = 3*m + 2*b - 735. Calculate the highest common divisor of 27 and m.
27
Suppose 47*s - 180 = 44*s. Calculate the greatest common divisor of 108 and s.
12
Suppose -5 = -12*g + 19. Suppose 5*x = h + 17 - 4, g*h = -2*x + 34. What is the highest common divisor of 12 and h?
12
Let h be 1/(2*4/(-48)). Let b be h - (-1 - 3) - -7. What is the greatest common divisor of b and 35?
5
Let a(j) = -3*j**2 - 25*j + 8. Let k be a(-4). What is the highest common divisor of 132 and k?
12
Let x be (-1)/2 - ((-181)/2)/1. Let v = 160 - x. Calculate the highest common divisor of 14 and v.
14
Let q = -497 + 509. Calculate the highest common divisor of 15 and q.
3
Suppose -106*j = -5*h - 110*j + 20, 37 = 4*h - j. Suppose -19 = 3*m - 79. Calculate the highest common factor of m and h.
4
Suppose 2*z + 4*f - 42 = 5*z, 5*f = -2*z - 28. Let o = 87 + z. Let x be 1/(-2) - o/(-2). Calculate the highest common factor of 24 and x.
12
Let n be (-1)/(2/26) - 0. Suppose -2*r + 64 = -3*o, 0 = 4*r - 6 - 14. Let p = n - o. What is the highest common factor of 5 and p?
5
Let j(m) = m**2 - m - 5. Let n be j(8). What is the greatest common factor of 34 and n?
17
Let g(r) = -r**2 + 8*r - 5. Let h be g(5). Let j(z) = z**2 + 23*z - 94. Let n be j(6). Calculate the greatest common factor of n and h.
10
Suppose 14*n - 20*n = -12. Let l(a) = 38*a + 4. Let d be l(n). What is the highest common factor of 10 and d?
10
Let f(i) = 7*i + 82. Let g be f(-11). Suppose -5*p + g = -3*q, -41 = -5*q + 2*p - 6*p. Calculate the greatest common divisor of q and 45.
5
Suppose 4*g - 72 - 24 = 0. Suppose 5*p - 2*n = 116, -2*p + 6*p + 5*n - 106 = 0. What is the highest common divisor of g and p?
24
Suppose 3*h - 2 - 13 = 0. S
|
{
"pile_set_name": "DM Mathematics"
}
|
-1. Which is the closest to s? (a) -1/10 (b) g (c) 2/19
a
Suppose -s - 4 = -3. Let l be -1*(-3 - s) - -3. Which is the closest to -0.5? (a) l (b) 0.3 (c) 4
b
Suppose 11 = 2*d + 5. Suppose 15 = v - 2*v. Let k be (-6)/15 + (-1)/v. Which is the closest to k? (a) 4 (b) d (c) 0.5
c
Suppose f + 17 = -0*f - 2*n, -8 = -f + 3*n. Let h be (2/(-6))/(f/(-6)). Let x be 2/(-7) - 34/(-70). Which is the nearest to 2/3? (a) 1/3 (b) x (c) h
a
Let x = 16.7 - 17. Let o = -5 + 1. Let a be (-1)/(-3) - (-5)/(-60). What is the nearest to a in o, -1/3, x?
x
Let p be (-1 - 0) + (-22)/(-18). Let y = -1.8 - 2.2. Which is the nearest to 0.1? (a) p (b) -0.5 (c) y
a
Let w be (-6)/10*(-6 + 1). Suppose q = w*q + 4. Let i = 33 + -32. What is the closest to i in -1, q, 0?
0
Suppose 2 = 4*j - z + 3*z, z = -j + 3. Let d = -891 - -891.1. What is the nearest to -1/2 in d, 0.2, j?
d
Let v = 0.3 - 0.5. Let u = -3.2 - v. What is the nearest to -1/5 in u, 0.5, 3?
0.5
Let u = 10 - 12. What is the closest to 1/4 in u, -0.2, 5?
-0.2
Suppose 0 = -5*g + 5, -4*a + 6*g = g + 13. Let w = -105 - -946/9. What is the closest to -0.1 in a, -3, w?
w
Let y = 1.6 - 2.6. Which is the nearest to 0? (a) 0.1 (b) y (c) 10
a
Let u(t) = -t**3 + 6*t**2 - 2*t + 7. Let d be u(6). Let i be (1/3)/(1/9). Let l be 49/(-42) + (-1)/i. Which is the closest to -1? (a) d (b) 0.4 (c) l
c
Let i = 0 + -0.5. Let n = -0.4 - i. What is the closest to n in 5, 3, -0.2?
-0.2
Let v = 708/5 + -141. Which is the closest to 1? (a) v (b) 1/6 (c) -2/5
a
Let u be 6/(0 + (-30)/(-4)). Let f be (-1)/(-4) - (-25)/(-36). Let n = 3 + -2.8. Which is the nearest to -2/3? (a) n (b) f (c) u
b
Let l be (-2)/(-6)*(1 - (-2)/4). Let i be 16/(-21) + 1/1. Let w = i + -4/7. Which is the closest to -1? (a) l (b) 0.3 (c) w
c
Let k = -2/139595 - -17309882/7119345. Let g = k + -30/17. Let m = g + -8/21. What is the closest to m in 0, 0.2, -2/7?
0.2
Let g = -0.53 - -0.23. Which is the closest to 0.1? (a) -0.2 (b) -4 (c) g
a
Let w = 1 + 0. Let l = 11 - 5. Let h be ((-24)/36)/((-7)/l). Which is the closest to w? (a) -0.1 (b) h (c) 2/5
b
Suppose 0*f - 2*f = -40. Suppose -z - 4*z + f = 0. Suppose 0 = -z*m + 5*w + 9, 4*m - 2*w - 8 = 2*w. What is the closest to 2 in -5, -3, m?
m
Let l = 89 - 90. What is the closest to l in 1/3, 0.3, 0.02?
0.02
Let p = -11 - -7. Let i = p - -3.7. Let k be 0/(1 - (-3)/1). Which is the nearest to k? (a) i (b) -0.2 (c) -3
b
Let h = -14 - -13.6. What is the closest to 0 in h, 0, 3?
0
Let z be 2/((-5)/2 + 2). What is the closest to -2/5 in -2, z, 0?
0
Let z(n) = n**3 + 10*n**2 - n - 10. Let d be z(-10). Which is the closest to -1/2? (a) 0.3 (b) d (c) -3/7
c
Let t = -0.031 - -3.031. What is the nearest to 0.07 in t, 2, -4/5?
-4/5
Let r = 23 + -25. Which is the nearest to 0.1? (a) r (b) 0.06 (c) -1/4
b
Let z be 5 + -5 - 122/30. Let q = -11/3 - z. What is the closest to -1 in -1/9, 1, q?
-1/9
Let q be (42/56)/(9/(-24)*-1). What is the nearest to 0.1 in q, 0.4, -1?
0.4
Let p = 19/4 + -369/76. What is the closest to 1 in p, 2, -2/3?
2
Let u = 145/3 + -49. What is the closest to u in -0.5, -2/11, -0.3?
-0.5
Let l = 110 - 108. Which is the closest to -3? (a) l (b) 0.2 (c) 0.5
b
Let z = 0.145 + -0.045. Which is the nearest to -1? (a) -5 (b) z (c) -0.2
c
Let c = -0.14 + 0.14. Let y = -5 + 3. Let s = -441/5 - -89. What is the nearest to c in s, y, -1?
s
Let w be (-1)/1 + 4/(-2). Suppose h = -4*s - 21, 19 = -4*s - 0*h + h. What is the closest to -1 in -2, s, w?
-2
Let g(j) = 2*j**2 + 2*j. Let w be g(1). Which is the closest to 4? (a) w (b) -4 (c) 0.2
a
Let t be -1 - -1 - (-4)/(-26). Let s = 11 - 10.5. Let k = 0 + s. Which is the nearest to 1? (a) t (b) 3 (c) k
c
Let y = -7 - -3. Let v = -2.936 - 0.064. Which is the closest to -0.1? (a) 2/5 (b) y (c) v
a
Let p = 0.7 - 1. Let s = 11/10 + -3/5. Let t = -66 - -65.8. Which is the closest to 1/3? (a) t (b) s (c) p
b
Suppose 3*s - i + 10 = 0, 2*s + 6*i + 3 = 3*i. What is the closest to -0.1 in s, 2/7, 1/5?
1/5
Let n = 0 - 0.5. Let s = 1.21 + -0.21. Which is the closest to s? (a) n (b) -1/6 (c) 0.1
c
Let g(f) = -f + 6. Let w be g(6). Suppose 7 - 34 = 3*l. Let k be (-38)/(-48) + 6/l. Which is the closest to w? (a) 0 (b) k (c) 5
a
Let d = 4 - 3. Let o = 0.6 - -2.4. Which is the nearest to -1/3? (a) d (b) -1/4 (c) o
b
Suppose -40 = 5*v - 0. Let i = 3 + v. Which is the nearest to 2/3? (a) 0.05 (b) i (c) -3
a
Let m = -39.2 - -39. Let n = -0.6 + 0.4. Let i = 3.2 - 3. What is the nearest to m in -0.1, i, n?
n
Let q = -10 - -7. Let f = 38.1 - 35. Let k = f + q. Which is the closest to -2/3? (a) -3/5 (b) -0.3 (c) k
a
Let y = 80/9 + -524/63. Which is the nearest to y? (a) 2 (b) -4 (c) 0.1
c
Let m = -3 - -4. Let l = -0.12 + -0.18. What is the closest to m in -5, l, 5?
l
Let n = -1.3 + 0.3. Let k = 9.93 - 10. Let u = 0.07 + k. What is the closest to u in 2/13, n, -3/2?
2/13
Suppose u + 3*u - 3*n = -20, 0 = 4*u - n + 12. Let r be 11/(-66) - (-2)/(-24). What is the closest to u in -2, 5, r?
-2
Let a = -47 - -46.5. What is the nearest to 4 in 1/11, -5, a?
1/11
Let b = -1.08 - -0.08. What is the nearest to b in -2/5, 3, 1/5?
-2/5
Let t = -168 + 675/4. Let n = -0.043 - -0.543. Let y = 0.1 + -0.2. Which is the closest to y? (a) -3 (b) n (c) t
b
Let u = 5 - 9. Let g be ((-21)/18)/(-7)*4. What is the closest to g in u, 0, -0.3?
0
Let i be 1*(-2)/4 + 45/42. What is the closest to 0.1 in i, -68, -1/4?
-1/4
Let h be ((16/(-20))/(-1))/2. Which is the nearest to h? (a) -2/23 (b) -0.2 (c) 0.4
c
Suppose -12 = -5*c - 37. Suppose -3*q = 5*l - 12, l + l + 16 = 4*q. What is the nearest to -1/4 in q, -2, c?
-2
Let k = -67 - -69. Let m = -2 - -2. Let u = m + -0.2. Which is the closest to k? (a) u (b) 4 (c) 1/5
c
Let r = 2/13 - -5/52. What is the closest to r in 2, 0, 4?
0
Let z = -0.03 + 3.43. Let o = z + -1.4. What is the nearest to -1/7 in 3, -1/4, o?
-1/4
Let g = 2677/111958 + 3/1454. Let n = -69/308 - g. Let v(p) = p + 2. Let x be v(-1). Which is the closest to x? (a) n (b) 1/2 (c) 0.4
b
Suppose -q = 3*h + 15, 15 = -0*h - 4*h - 3*q. Let t(s) = s**2 + 6*s + 3. Let w be t(h). What is the closest to -2 in 0.4, w, 1?
0.4
Let p(r) = -r + 6. Let k be p(5). Let n = -8.9 - -9. What is the closest to k in 5, 2, n?
n
Let y = 75 - 28. Let m = -2/8899 + 2518429/53394. Let n = y - m. What is the closest to -0.1 in n, 0, -2/7?
n
Let o = 91 - 91. What is the closest to o in 0.1, 1, 2?
0.1
Let r be (-4)/14 - (-12)/(-7). Let t be r/6 + (-2)/12. Let x = 0.06 + 0.14. Which is the closest to t? (a) -3/8 (b) 3 (c) x
a
Let b be (3/9)/((-2)/4). Let p = -0.3 - -0.3. What is the nearest to b in 3, p, 2/11?
p
Let q be (-8)/24 - (-16)/3. Which is the nearest to 1/2? (a) -3 (b) 3 (c) q
b
Let g = -4 + 3. Let r = -7 + 5.5. Let q = r + 1. Which is the closest to g? (a) 3 (b) -3 (c) q
c
Let u = 0.1 + -1. Let f = u - 0.1. What is the closest to -0.1 in -2/5, f, -5/4?
-2/5
Let f = 82/105 + -4/35. Let v = -0.33 + 0.3. Let t = 0.97 - v. What is the closest to t in -1, f, -4/7?
f
Let g = -1/206 + -403/1854. What is the closest to -1 in -5, g, -1?
-1
Suppose -2 + 0 = -3*f - 2*b, 3*f + 26 = 5*b. What is the nearest to -1 in -0.5, -4/5, f?
-4/5
Let l = 25 + -27. Which is the nearest to -2/3? (a) l (b) 0 (c) 5
b
Let s = 6 + -5.9. Let j(x) = -x**2 - x + 3. Let l be j(0). Which is the nearest to l? (a) -3 (b) s (c) 2
c
Let t = -2 + 2. Let k = 0.3 - t. Let m be 5 + (-27)/15 + -3. What is the closest to m in 5, k, -4?
k
Let h = 0 + 0. Let v = 0.1 + -0.3. Let g = 6 + -4. What is the closest to g in -1, v, h?
h
Let i = -45 - -48. What is the closest to -0.1 in 1/4, 4, i?
1/4
Let y = -0.1 + 0. Let x = -0.9 - -3. Let k = 2 - x. Which is the nearest to k? (a) y (b) 2/15 (c) 0.3
a
Let r = -41 + 40.9. What is the closest to r in -3, 5, 4?
-3
Let b = 7.1 - 7. What is the closest to b in 1, 4, 0.2?
0.2
Let x = 51/7 - 7. Let n = -0.1 + 0.6. Let t = n - 0.4. Which is the nearest to t? (a) -2 (b) 0.4 (c) x
c
Let k(g) = -3 + 3*g**2 - 8*g - 2*g**2 - 2*g**2. Let n be k(-7). Let y be ((-3)/9)/(n/(-6)). Which is the nearest to y? (a) 4 (b) 1/4 (c) 0.3
c
Let i = 5/53 - -41/689. Let w = 2.9 - -0.1. What is the closest to -1 in -0.3, w, i?
-0.3
Let q = -23.89 - -24. Let t =
|
{
"pile_set_name": "DM Mathematics"
}
|
- 6912/13 = 0 for q.
-12, -4, 2, 4, 9
Factor -x**4 + 78*x**3 - 2208*x**2 + 26450*x - 109503.
-(x - 23)**3*(x - 9)
Solve 4*w**2 + 6376*w + 100992 = 0 for w.
-1578, -16
Determine i, given that 2*i**5/21 + 2360*i**4/7 + 6301004*i**3/21 + 20714048*i**2/7 - 143215630*i/21 + 24921800/7 = 0.
-1765, -12, 1
What is g in -4*g**2/3 - 19340*g = 0?
-14505, 0
What is c in 2*c**3/9 + 146*c**2 - 2636*c/9 = 0?
-659, 0, 2
Factor 3*x**4 + 1374*x**3 + 39711*x**2.
3*x**2*(x + 31)*(x + 427)
Factor 5*d**5 - 7360*d**4 + 2766720*d**3 - 42864640*d**2 + 169594880*d.
5*d*(d - 728)**2*(d - 8)**2
Factor 2*j**3/7 + 2236*j**2/7 + 13354*j/7 + 11120/7.
2*(j + 1)*(j + 5)*(j + 1112)/7
Find j, given that j**5/9 - j**4/9 - 76*j**3/9 - 176*j**2/9 + 32*j + 80 = 0.
-6, -3, -2, 2, 10
What is w in w**4/5 - 57*w**3 - 2647*w**2/5 + 57*w + 2646/5 = 0?
-9, -1, 1, 294
Solve -2*r**2/13 - 142*r/13 + 14592/13 = 0.
-128, 57
Factor 6*u**2/11 - 533796*u/11.
6*u*(u - 88966)/11
Factor 4*r**3 + 492*r**2 + 2360*r.
4*r*(r + 5)*(r + 118)
Suppose 3*j**5/8 + 32559*j**4 + 1413451305*j**3/2 - 130236*j**2 - 2826902616*j = 0. What is j?
-43412, -2, 0, 2
Factor -5*i**3 - 75*i**2 + 37125*i - 1063125.
-5*(i - 45)**2*(i + 105)
Factor 4*p**2/7 + 8052*p.
4*p*(p + 14091)/7
Determine s so that 2*s**5 + 350*s**4 - 5186*s**3 + 19882*s**2 - 28656*s + 13608 = 0.
-189, 1, 2, 9
Solve 3*w**2 - 30666*w = 0 for w.
0, 10222
Find u such that -u**3/6 - 25*u**2/2 - 583*u/3 = 0.
-53, -22, 0
Factor -h**2/3 - 8950*h/3 - 20025625/3.
-(h + 4475)**2/3
Factor -c**2/2 - 14448*c - 104372352.
-(c + 14448)**2/2
Find w such that 36*w**4 + 6980*w**3 - 776*w**2 = 0.
-194, 0, 1/9
Suppose 2*r**2 - 148*r - 1134 = 0. What is r?
-7, 81
Solve 3*k**4/2 - 786*k**3 - 30759*k**2/2 - 52038*k - 48870 = 0.
-15, -2, 543
Let -4*d**5/3 - 59*d**4/3 - 16*d**3/3 + 808*d**2 + 1920*d - 3600 = 0. What is d?
-10, -6, 5/4, 6
Suppose 4*z**2 - 41144*z + 41140 = 0. What is z?
1, 10285
Determine h, given that -2*h**3/5 + 72*h**2/5 - 202*h/5 + 132/5 = 0.
1, 2, 33
What is q in -3*q**3 - 351*q**2 - 11256*q - 69120 = 0?
-64, -45, -8
Suppose 66049*y**2/2 + 1954742*y + 28925618 = 0. Calculate y.
-7606/257
What is z in 3*z**3 + 1431*z**2 - 8694*z = 0?
-483, 0, 6
Determine m, given that -10*m**5/3 + 22918*m**4/3 - 13742*m**3 + 13738*m**2/3 + 4580*m/3 = 0.
-1/5, 0, 1, 2290
Find s such that -4*s**2 + 1128*s + 50076 = 0.
-39, 321
Solve -3*r**3 + 1104*r**2 - 1095*r - 2202 = 0.
-1, 2, 367
Factor 5*z**3/3 + 14545*z**2/3 + 10599635*z/3 + 10556045.
5*(z + 3)*(z + 1453)**2/3
Factor -288300*t**3 + 1724220*t**2 + 33453*t + 162.
-3*(t - 6)*(310*t + 3)**2
Factor 2*i**2 - 595556*i + 44335868642.
2*(i - 148889)**2
Factor -16*b**2 + 420*b + 324.
-4*(b - 27)*(4*b + 3)
Find m, given that -3*m**2/2 - 154*m + 3680 = 0.
-368/3, 20
What is y in -y**4 + 78*y**3 - 977*y**2 + 1968*y + 3024 = 0?
-1, 4, 12, 63
Factor 5*l**2 - 3045170*l + 463653016445.
5*(l - 304517)**2
Find a such that 3*a**4/4 + 849*a**3/2 - 4320*a**2 = 0.
-576, 0, 10
Let k**2/4 - 2445*k/4 + 3663/2 = 0. What is k?
3, 2442
Determine o so that -3*o**5/8 - 39*o**4/8 + 93*o**3 - 903*o**2/2 + 876*o - 600 = 0.
-25, 2, 4
Determine x, given that 9*x**5 + 3423*x**4 + 285639*x**3 + 94833*x**2 = 0.
-257, -123, -1/3, 0
Solve 4*a**2 - 2352*a - 95152 = 0.
-38, 626
Solve 4*m**2/5 + 126804*m/5 = 0 for m.
-31701, 0
Solve -4*n**4 - 17396*n**3/5 - 6252*n**2 - 10412*n/5 + 3472/5 = 0 for n.
-868, -1, 1/5
Solve 676*m**5/7 - 416*m**4/7 - 6852*m**3/7 + 720*m**2 + 10800*m/7 = 0.
-3, -1, 0, 30/13
Factor -b**2 - 5119*b + 5120.
-(b - 1)*(b + 5120)
Factor -a**2 + 5151*a - 5150.
-(a - 5150)*(a - 1)
Factor -p**4 + 663*p**3 + 4014*p**2.
-p**2*(p - 669)*(p + 6)
Find n such that 5*n**5 + 2185*n**4 - 48090*n**3 = 0.
-458, 0, 21
Suppose -2*n**3/11 - 23216*n**2/11 + 46438*n/11 - 23220/11 = 0. Calculate n.
-11610, 1
Factor 75*n**2 + 1551*n + 1020.
3*(n + 20)*(25*n + 17)
Factor 5*f**4/2 + 2380*f**3 + 542140*f**2 - 11566800*f + 59049000.
5*(f - 10)**2*(f + 486)**2/2
Solve 2*u**2 + 44674*u - 44676 = 0.
-22338, 1
Factor -4*n**5 + 10004*n**4 - 6249996*n**3 - 6260004*n**2.
-4*n**2*(n - 1251)**2*(n + 1)
Factor f**2 + 43032*f + 462938256.
(f + 21516)**2
Factor -b**3/4 + 399*b**2/2 - 36639*b - 1285470.
-(b - 414)**2*(b + 30)/4
What is q in 2*q**4 + 36*q**3 - 2*q**2 - 36*q = 0?
-18, -1, 0, 1
Solve -d**4/3 - 56*d**3 - 2166*d**2 + 16704*d + 68121 = 0 for d.
-87, -3, 9
Suppose 5686*d**4/3 + 3788*d**3 + 1890*d**2 - 8*d/3 = 0. Calculate d.
-1, 0, 4/2843
Factor 2*k**2/17 - 1782*k/17 + 728.
2*(k - 884)*(k - 7)/17
Find s such that -2*s**3 - 116*s**2 + 4368*s = 0.
-84, 0, 26
Solve -o**3/4 - 2627*o**2/2 - 31493*o/4 - 6560 = 0 for o.
-5248, -5, -1
Factor -3*b**2 + 2544*b - 10128.
-3*(b - 844)*(b - 4)
Determine r, given that 2*r**4/13 - 1096*r**3/13 + 5418*r**2/13 + 6516*r/13 = 0.
-1, 0, 6, 543
Find j, given that 2*j**4/3 - 40*j**3/3 + 76*j**2 - 72*j - 162 = 0.
-1, 3, 9
Factor s**2 + 18936*s + 18935.
(s + 1)*(s + 18935)
Suppose 10*t**5/9 + 364*t**4/9 - 3826*t**3/9 + 2012*t**2/9 + 160*t = 0. What is t?
-45, -2/5, 0, 1, 8
Find d such that 2*d**3/13 + 48504*d**2/13 + 48502*d/13 = 0.
-24251, -1, 0
Suppose t**4/3 - 2782*t**3/3 - 120372*t**2 - 5105016*t - 71815968 = 0. What is t?
-42, 2908
Determine s so that 5*s**4 - 24995*s**3 - 75050*s**2 + 100040*s = 0.
-4, 0, 1, 5002
Let 2*i**5/5 + 1434*i**4/5 + 253388*i**3/5 - 1327716*i**2/5 - 880118*i + 5473482/5 = 0. What is i?
-361, -3, 1, 7
Factor w**5 + 21*w**4 - 3027*w**3 - 31345*w**2 - 79050*w.
w*(w - 51)*(w + 5)**2*(w + 62)
Find z, given that 14*z**4 - 68608*z**3 + 1234416*z**2/7 - 83968*z + 78368/7 = 0.
2/7, 2, 4898
Factor -2*m**3/5 - 35408*m**2/5 - 156998688*m/5 - 2502922752/5.
-2*(m + 16)*(m + 8844)**2/5
Solve -n**3 + 1853*n**2 - 33030*n = 0.
0, 18, 1835
Suppose -3*n**5/2 - 57*n**4 - 297*n**3 + 894*n**2 + 597*n/2 - 837 = 0. Calculate n.
-31, -9, -1, 1, 2
Suppose n**3 - 14*n**2 - 89*n - 114 = 0. What is n?
-3, -2, 19
Solve 4*q**3/5 - 31164*q**2/5 + 60684096*q/5 + 60715264/5 = 0.
-1, 3896
Solve k**4/2 - 145*k**3/6 + 974*k**2/3 - 3074*k/3 + 936 = 0.
2, 52/3, 27
Factor -1469795762*h**2/11 - 759052*h/11 - 98/11.
-2*(27109*h + 7)**2/11
Let 3*l**5 + 13881*l**4 + 16008177*l**3 - 112627005*l**2 + 129066168*l + 257687472 = 0. What is l?
-2317, -1, 4
Suppose 3*d**5/2 + 1707*d**4/2 + 16767*d**3/2 - 1707*d**2/2 - 8385*d = 0. Calculate d.
-559, -10, -1, 0, 1
Factor -2*k**3/13 + 3126*k**2/13 - 1144710*k/13 - 60914350/13.
-2*(k - 805)**2*(k + 47)/13
Factor -3*s**2/4 + 1581*s/2.
-3*s*(s - 1054)/4
Find s such that -s**4/5 + s**3 + 2072*s**2/5 + 4116*s/5 = 0.
-42, -2, 0, 49
Find g such that 3*g**4 - 4368*g**3 + 21786*g**2 - 30480*g + 13059 = 0.
1, 3, 1451
Solve y**3/7 + 5*y**2/7 - 204*y/7 = 0 for y.
-17, 0, 12
Let -2*a**4/15 + 102536*a**3/15 - 1314101372*a**2/15 - 175234024*a - 87620430 = 0. What is a?
-1, 25635
Let k**5/3 + 23*k**4/3 - 199*k**3/3 + 325*k**2/3 - 50*k = 0. Calculate k.
-30, 0, 1, 5
Solve -11*k**5/3 - 388*k**4/3 - 815*k**3 - 5960*k**2/3 - 6244*k/3 - 784 = 0.
-28, -3, -2, -14/11, -1
Determine f so that -4*f**5 - 392*f**4 + 4300*f**3 - 2560*f**2 - 43536*f - 36288 = 0.
-108, -2, -1, 6, 7
Find x such that 3*x**4/7 - 915*x**3/7 + 8907*x**2/7 - 16725*x/7 - 26550/7 = 0.
-1, 5, 6, 295
Suppose m**3/4 + 7467*m**2/2 + 55756089*m/4 = 0. Calculate m.
-7467, 0
Solve b**5 + 63*b**4/2 + 338*b**3 + 3087*b**2/2 + 2916*b + 1890 = 0.
-15, -7, -6, -2, -3/2
Factor 2*q**3 - 18086*q**2 + 18080*q + 36168.
2*(q - 9042)*(q - 2)*(q + 1)
Suppose -2*r**2/7 - 230072*r/7 = 0. Calculate r.
-115036, 0
Let -33*n**5 + 95*n**4/4 + 41*n**3 - 95*n**2/4 - 8*n = 0. What is n?
-1, -1/4, 0, 32/33, 1
Factor 2*p**3/21 - 80*p**2/21 + 454*p/21 + 3224/21.
2*(p - 31)*(p - 13)*(p + 4)/21
Let 3*s**3 - 1032*s**2 + 64512*s + 4423680 = 0. What is s?
-40, 192
Solve 8*u**2/3 - 233854*u/3 - 19488 = 0 for u.
-1/4, 29232
Find b such that -3*b**3 + 291*b**2 + 23715*b - 2309283 = 0.
-89, 93
Suppose 7*p**2/3 - 3662*p - 6280/3 = 0. Calculate p.
-4/7, 1570
Find a such that a**5 + 139*a**4 - 711*a**3 + 1289*a**2 - 1006*a + 288 = 0.
-144, 1, 2
Let -3*t**4/5 + 42*t**3/5 - 87*t**2/5 - 132*t/5 = 0. What is t?
-1, 0, 4, 11
Factor -3*x**5/5 + 4*x**4 - 39*x**3/5 + 18*x**2/5.
-x**2*(x - 3)**2*(3*x - 2)/5
Determine j so that 2*j**4/19 - 668*j**3/19 + 23352*j**2/19 + 49392*j/19 = 0.
-2, 0, 42, 294
Let 2*a**3/7 + 1076*a**2/7
|
{
"pile_set_name": "DM Mathematics"
}
|
374135, 594111, 886833?
1262693
What is next in 8387, 16783, 25179, 33575, 41971, 50367?
58763
What is the next term in -332430, -664862, -997294?
-1329726
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10210665
What is the next term in -2545565, -5091132, -7636699, -10182266, -12727833, -15273400?
-17818967
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15249
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1860
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-55313
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2677
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2853
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-94702
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22452
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357659
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-41421
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3950
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3515
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86962
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2652
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-19225
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1784
What is next in -84, -341, -934, -2031, -3800, -6409?
-10026
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-1559631
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9429
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-34981
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1255
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14531
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-964219
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6889
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-701717
What comes next: -1876, -1818, -1718, -1570, -1368?
-1106
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-6416
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-11676
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756
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21872
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22688
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13156
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4842
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2630
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3115
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192113
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-17406
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-3636
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-2096
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54267
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-1099
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255198
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-229
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35698
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223
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-421488
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-749
What comes next: -151, -434, -903, -1558, -2399, -3426?
-4639
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9584
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6280
What is next in -15037, -15036, -15033, -15028, -15021, -15012, -15001?
-14988
What is next in -3565, -28570, -96441, -228610, -446509, -771570, -1225225, -1828906?
-2604045
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25947
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-8467
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-99791
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-116358
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4142660
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-321345
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-5389977
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-346063
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-277
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-679
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-744606
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-3170
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14822
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113070
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1341
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-41358
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-3512394
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7339
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4105
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2536
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938806
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-27312
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5784
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-1059
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9303
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41505
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-1767
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235
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-394224
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-860
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-3306
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64154
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-605853
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2556
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-4950
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250492
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-204038
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-3818
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9693
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1279
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-1132
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-42171
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-112752
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-598
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-11535
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-3857
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-10566
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-5810
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66956
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8984
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1792
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-2309
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-421
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-1150
What comes next: 2158, 4087, 6016, 7945?
9874
What is the next term in 11093, 22185, 33267, 44339, 55401, 66453, 77495?
88527
What is the next term in -121, -578, -1741, -3964, -7601, -13006, -20533?
-30536
What is next in 7327736, 7327737, 7327738, 7327739, 7327740?
7327741
What comes next: 7336, 14675, 22014, 29353, 36692?
44031
What comes next: -6347, -12767, -19185, -25601, -32015, -38427?
-44837
What is the next term in 12466, 12464, 12462, 12460, 12458, 12456?
12454
What is next in 1412, 2884, 4356, 5828?
7300
What comes next: -3436, -6918, -10402, -13888?
-17376
What is the next term in 700, 1467, 2234, 3001?
3768
What is the next term in -6234, -6233, -6232, -6231, -6230, -6229?
-6228
What is the next term in -10079, -10063, -10107, -10241, -10495, -10899, -11483?
-12277
What comes next: -256, -503, -922, -1513, -2276, -3211?
-4318
What is the next term in 429, -208, -2971, -8922, -19123, -34636?
-56523
What is the next term in -2288, -2426, -2564, -2702?
-2840
What come
|
{
"pile_set_name": "DM Mathematics"
}
|
of 691038?
3
What is the tens digit of 407069?
6
What is the millions digit of 6691720?
6
What is the units digit of 180432?
2
What is the tens digit of 17686095?
9
What is the hundred thousands digit of 274106?
2
What is the thousands digit of 878461?
8
What is the thousands digit of 4678196?
8
What is the units digit of 8793552?
2
What is the hundreds digit of 3180710?
7
What is the tens digit of 3463208?
0
What is the hundreds digit of 16272?
2
What is the thousands digit of 115148?
5
What is the hundreds digit of 273398?
3
What is the millions digit of 13126848?
3
What is the ten thousands digit of 32899?
3
What is the hundreds digit of 3169958?
9
What is the ten thousands digit of 35754?
3
What is the hundreds digit of 499282?
2
What is the tens digit of 232429?
2
What is the tens digit of 796955?
5
What is the units digit of 19053449?
9
What is the units digit of 368742?
2
What is the hundreds digit of 28485989?
9
What is the thousands digit of 330855?
0
What is the tens digit of 4938154?
5
What is the hundred thousands digit of 524726?
5
What is the tens digit of 7276474?
7
What is the tens digit of 563820?
2
What is the ten thousands digit of 1725292?
2
What is the hundred thousands digit of 1030765?
0
What is the hundreds digit of 52298?
2
What is the units digit of 1919850?
0
What is the thousands digit of 1336015?
6
What is the hundreds digit of 4910985?
9
What is the tens digit of 8500464?
6
What is the thousands digit of 56630?
6
What is the thousands digit of 545188?
5
What is the ten millions digit of 11531543?
1
What is the thousands digit of 16957546?
7
What is the ten thousands digit of 848160?
4
What is the units digit of 382557?
7
What is the units digit of 1555922?
2
What is the ten thousands digit of 5019516?
1
What is the ten thousands digit of 266405?
6
What is the thousands digit of 225019?
5
What is the hundred thousands digit of 1069826?
0
What is the hundreds digit of 7440172?
1
What is the hundreds digit of 644184?
1
What is the thousands digit of 939498?
9
What is the hundreds digit of 170918?
9
What is the hundred thousands digit of 394675?
3
What is the units digit of 51299?
9
What is the hundreds digit of 128195?
1
What is the thousands digit of 445376?
5
What is the tens digit of 2696313?
1
What is the units digit of 16689913?
3
What is the ten thousands digit of 1783383?
8
What is the tens digit of 98715?
1
What is the units digit of 149337?
7
What is the ten thousands digit of 2570803?
7
What is the units digit of 2640838?
8
What is the hundred thousands digit of 220660?
2
What is the units digit of 1110991?
1
What is the ten thousands digit of 242737?
4
What is the hundred thousands digit of 7038522?
0
What is the units digit of 12334278?
8
What is the ten thousands digit of 375689?
7
What is the units digit of 557779?
9
What is the tens digit of 82108?
0
What is the units digit of 3076622?
2
What is the hundreds digit of 504153?
1
What is the tens digit of 6001156?
5
What is the ten thousands digit of 3235073?
3
What is the hundreds digit of 401190?
1
What is the millions digit of 1449112?
1
What is the millions digit of 2035578?
2
What is the ten thousands digit of 152546?
5
What is the ten thousands digit of 30259273?
5
What is the hundreds digit of 625139?
1
What is the thousands digit of 83625?
3
What is the thousands digit of 3817632?
7
What is the units digit of 38955740?
0
What is the hundred thousands digit of 2431078?
4
What is the tens digit of 169945?
4
What is the ten thousands digit of 6343194?
4
What is the thousands digit of 506552?
6
What is the hundreds digit of 100797?
7
What is the tens digit of 4666093?
9
What is the hundreds digit of 2004099?
0
What is the units digit of 6458009?
9
What is the hundreds digit of 108?
1
What is the hundreds digit of 1742397?
3
What is the ten thousands digit of 153138?
5
What is the tens digit of 1942?
4
What is the tens digit of 18034583?
8
What is the tens digit of 53661?
6
What is the units digit of 3993496?
6
What is the hundred thousands digit of 290623?
2
What is the thousands digit of 4658016?
8
What is the thousands digit of 470426?
0
What is the hundred thousands digit of 800156?
8
What is the ten millions digit of 29404680?
2
What is the ten thousands digit of 2951096?
5
What is the millions digit of 2477545?
2
What is the hundreds digit of 15127601?
6
What is the hundreds digit of 3863223?
2
What is the units digit of 35006039?
9
What is the tens digit of 223468?
6
What is the hundreds digit of 1276673?
6
What is the ten thousands digit of 460047?
6
What is the ten thousands digit of 50001?
5
What is the millions digit of 4819379?
4
What is the units digit of 19026701?
1
What is the thousands digit of 10203333?
3
What is the tens digit of 17355655?
5
What is the ten thousands digit of 2048897?
4
What is the millions digit of 5658888?
5
What is the hundreds digit of 43383?
3
What is the hundreds digit of 169492?
4
What is the ten thousands digit of 4293899?
9
What is the hundreds digit of 1795127?
1
What is the units digit of 1635063?
3
What is the tens digit of 198564?
6
What is the units digit of 21269741?
1
What is the units digit of 595236?
6
What is the hundreds digit of 31280?
2
What is the millions digit of 7346350?
7
What is the ten thousands digit of 484396?
8
What is the hundreds digit of 406300?
3
What is the thousands digit of 11389180?
9
What is the ten thousands digit of 1119515?
1
What is the ten thousands digit of 6212621?
1
What is the hundreds digit of 17268397?
3
What is the hundred thousands digit of 8130843?
1
What is the ten thousands digit of 4810197?
1
What is the hundreds digit of 432181?
1
What is the tens digit of 4150088?
8
What is the hundreds digit of 12635916?
9
What is the tens digit of 4478092?
9
What is the tens digit of 711302?
0
What is the units digit of 155029?
9
What is the millions digit of 1010640?
1
What is the hundred thousands digit of 9061573?
0
What is the hundred thousands digit of 2152442?
1
What is the ten thousands digit of 18279349?
7
What is the tens digit of 1153208?
0
What is the tens digit of 6034751?
5
What is the ten thousands digit of 394170?
9
What is the hundred thousands digit of 471474?
4
What is the hundred thousands digit of 1993463?
9
What is the thousands digit of 224893?
4
What is the ten thousands digit of 15311?
1
What is the tens digit of 9578823?
2
What is the ten thousands digit of 1158611?
5
What is the hundreds digit of 190445?
4
What is the ten thousands digit of 38754034?
5
What is the hundreds digit of 3166277?
2
What is the hundred thousands digit of 794564?
7
What is the hundreds digit of 396087?
0
What is the ten thousands digit of 24307872?
0
What is the hundred thousands digit of 1849016?
8
What is the hundreds digit of 781893?
8
What is the ten thousands digit of 494898?
9
What is the ten thousands digit of 34111?
3
What is the hundreds digit of 3534814?
8
What is the tens digit of 1177139?
3
What is the thousands digit of 67057?
7
What is the tens digit of 9535838?
3
What is the hundred thousands digit of 947482?
9
What is the tens digit of 2189830?
3
What is the units digit of 4477?
7
What is the ten millions digit of 15910409?
1
What is the hundred thousands digit of 969956?
9
What is the hundreds digit of 783539?
5
What is the thousands digit of 445393?
5
What is the hundreds digit of 126764?
7
What is the hundreds digit of 4340555?
5
What is the tens digit of 350379?
7
What is the ten thousands digit of 121021?
2
What is the hundred thousands digit of 537414?
5
What is the thousands digit of 10919567?
9
What is the tens digit of 3244650?
5
What is the thousands digit of 4272249?
2
What is the thousands digit of 2085992?
5
What is the hundreds digit of 243048?
0
What is the ten thousands digit of 2152813?
5
What is the units digit of 78858?
8
What is the units digit of 1224013?
3
What is the millions digit of 4968309?
4
What is the hundreds digit of 17314592?
5
What is the units digit of 2872920?
0
What is the millions digit of 1505365?
1
What is the ten thousands digit of 1776734?
7
What is the ten thousands digit of 68619?
6
What is the hundreds digit of 5666893?
8
What is the millions digit of 1019289?
1
What is the hundreds digit of 2461958?
9
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
(base 3) to base 15.
19d6c3
What is -10203103013 (base 4) in base 6?
-41323515
Convert -1020021021112 (base 3) to base 7.
-5365112
-1101001101010011 (base 2) to base 11
-37711
What is -401014135 (base 6) in base 13?
-152c357
-63752 (base 9) to base 11
-29754
What is -3937748 (base 11) in base 5?
-3221141111
Convert 2897747 (base 10) to base 15.
3c38d2
Convert 13bb019 (base 15) to base 14.
1c73b38
102000021220 (base 3) to base 13
77853
20004231 (base 5) to base 6
3210000
What is -2616b (base 16) in base 7?
-1216562
What is e2829 (base 15) in base 8?
2571033
Convert -238768 (base 9) to base 2.
-100011001101110010
Convert -31182 (base 13) to base 4.
-111201123
What is -353424 (base 9) in base 4?
-303320011
What is 8060337 (base 9) in base 13?
b73271
What is 1102004 (base 11) in base 5?
443412103
10402313 (base 5) to base 16
1634e
-11432a (base 12) to base 16
-439d2
-1313372 (base 8) to base 16
-596fa
Convert 130872 (base 9) to base 5.
10020240
11245566 (base 7) to base 16
f0d32
What is -18d94 (base 15) in base 16?
-13b31
2747150 (base 13) to base 12
4191992
201437 (base 9) to base 4
131012101
10ab28b (base 14) to base 2
11110010011100011001011
Convert 212230302011 (base 4) to base 13.
2142800
-215226 (base 12) to base 13
-156060
1280a5 (base 12) to base 7
2405015
Convert 19a2306 (base 12) to base 4.
110233110312
Convert 11011110111101000 (base 2) to base 4.
123313220
-20020210020 (base 3) to base 10
-123045
Convert 1010b29 (base 12) to base 5.
1232231322
12020023321 (base 4) to base 16
1882f9
620502 (base 9) to base 16
59ccf
-330002232 (base 4) to base 11
-158857
Convert 11127a (base 12) to base 2.
1000010010100111110
ba48 (base 14) to base 16
7dd0
26556040 (base 7) to base 5
1111413411
62654 (base 7) to base 3
210011022
Convert -123434225 (base 7) to base 8.
-35721762
What is -2894974 (base 11) in base 2?
-10010111101010101000001
What is -303030403 (base 5) in base 16?
-12a078
What is 72833 (base 15) in base 4?
1120213131
Convert -440b2 (base 14) to base 5.
-20233141
What is 6268573 (base 10) in base 12?
2123791
-20246753 (base 8) to base 16
-414deb
Convert -abc0c (base 15) to base 9.
-1022073
Convert 62c44 (base 16) to base 15.
7eced
Convert 110100010010101001 (base 2) to base 9.
355723
Convert -1d63d (base 16) to base 12.
-597b9
111111111000011000100011 (base 2) to base 13
36142b4
Convert -15005321 (base 7) to base 5.
-330214130
What is 78ad (base 14) in base 2?
101000111000001
108434 (base 9) to base 15
144e1
What is 796a31 (base 11) in base 4?
10311222010
-b422b (base 16) to base 2
-10110100001000101011
What is -1826c (base 16) in base 15?
-1e49e
Convert 7baa01 (base 14) to base 13.
b48420
Convert -d2e3 (base 16) to base 4.
-31023203
What is -4443000401 (base 5) in base 7?
-145512253
Convert 172922 (base 16) to base 3.
2212010002222
-8643047 (base 9) to base 5
-2141244141
Convert 11101122121 (base 3) to base 2.
10101000111100001
What is 4314009 (base 10) in base 15?
5a3359
What is -22243144 (base 7) in base 12?
-78abb4
What is 5b218 (base 12) in base 9?
206642
What is -444020002 (base 5) in base 3?
-10122111110122
What is -1112110010111 (base 3) in base 7?
-6635362
-16030 (base 14) to base 11
-3829a
10001110100110001110 (base 2) to base 16
8e98e
Convert -2370744 (base 8) to base 3.
-1020010000211
What is 106874 (base 11) in base 14?
45db0
What is -32a54 (base 12) in base 13?
-2475a
What is 10010101001100100111000 (base 2) in base 3?
100012101021221
Convert -148a9 (base 15) to base 9.
-110576
Convert -267454 (base 9) to base 7.
-1246021
Convert 335774 (base 11) to base 7.
4354526
What is -22012744 (base 8) in base 10?
-4724196
Convert -11022232010 (base 4) to base 5.
-321322003
-202232311 (base 4) to base 15
-2c241
Convert -150564 (base 10) to base 7.
-1164651
Convert 3caa2 (base 13) to base 4.
123303031
2569204 (base 11) to base 6
235202400
What is -3312001 (base 4) in base 10?
-15745
What is 6862be (base 15) in base 4?
103000111301
-340223 (base 8) to base 9
-184464
Convert 1231321010 (base 4) to base 15.
8d57b
Convert -110102210222012 (base 3) to base 11.
-3805069
80b4a (base 13) to base 16
38409
What is 301430 (base 9) in base 11?
1119a5
What is 7356763 (base 8) in base 16?
1dddf3
-123607 (base 9) to base 12
-37397
What is -207575 (base 12) in base 13?
-14b517
11100111010001000001001 (base 2) to base 8
34721011
Convert a318 (base 12) to base 11.
12360
What is 55506 (base 13) in base 4?
211300101
-31524 (base 12) to base 9
-107651
140503143 (base 6) to base 13
78526b
Convert -1917326 (base 12) to base 7.
-62461452
113322241 (base 5) to base 12
21488b
Convert -12564 (base 15) to base 3.
-2222101011
Convert -4a7b97 (base 12) to base 3.
-2021210200221
What is 5755d (base 14) in base 15?
42dbb
What is -176433c (base 13) in base 16?
-74112c
What is 5016769 (base 11) in base 6?
514205214
2201030133 (base 4) to base 9
1215626
What is 21c13 (base 13) in base 14?
18511
Convert 2333132020 (base 4) to base 2.
10111111011110001000
-100110110001111011 (base 2) to base 4
-212301323
-20133332 (base 4) to base 14
-c98a
10001100101101 (base 2) to base 8
21455
Convert -455250013 (base 6) to base 3.
-120202102020100
Convert 21101121100 (base 4) to base 12.
992694
6273c (base 15) to base 9
525143
Convert 1545215 (base 6) to base 8.
263353
-15967 (base 14) to base 6
-1053543
Convert -50112 (base 12) to base 9.
-167385
173117 (base 10) to base 13
60a49
Convert -1251332 (base 8) to base 6.
-11251122
Convert 155ac (base 16) to base 13.
30a74
44105033 (base 6) to base 7
14115351
Convert -c2e30 (base 15) to base 3.
-1011100222100
-221210432 (base 5) to base 14
-1adc7b
What is 210122202002101 (base 3) in base 15?
1025361
What is 1011212222200 (base 3) in base 14?
124a4c
5805370 (base 9) to base 8
13750154
-202443 (base 8) to base 16
-10523
What is 575320 (base 13) in base 2?
111111000110111000110
-14543524 (base 6) to base 9
-858537
99b33 (base 15) to base 9
824113
What is -37bd0 (base 14) in base 16?
-2165a
19954 (base 12) to base 14
da12
What is 2761161 (base 8) in base 9?
1416355
Convert -338717 (base 9) to base 14.
-540d7
What is 4022940 (base 10) in base 11?
22a8549
What is -1101011001111011101011 (base 2) in base 3?
-20121112102112
What is 11a9b7 (base 14) in base 2?
10010011110110100101
What is 11001010011101000 (base 2) in base 14?
29ac0
21523524 (base 7) to base 9
3436350
What is -324402 (base 9) in base 6?
-4051515
What is -10011111000010110011111 (base 2) in base 15?
-6ce26b
Convert 13334661 (base 7) to base 10.
1235823
-12a90 (base 11) to base 7
-105156
147cbb0 (base 14) to base 4
212011233112
Convert 22120021122000 (base 3) to base 15.
5edc90
What is 10101111111110111011 (base 2) in base 4?
2233332323
What is -100010120021201 (base 3) in base 15?
-65ce91
Convert 144acd (base 14) to base 16.
ac05d
13666306 (base 7) to base 4
10323321331
What is -1bb1a8 (base 12) in base 3?
-221012200002
What is -477303 (base 15) in base 10?
-3416178
-4124001234 (base 5) to base 12
-29a1a71
-100110110110001011100111 (base 2) to base 16
-9b62e7
Convert 15da1 (base 14) to base 11.
38211
Convert 1828432 (base 10) to base 16.
1be650
-47725 (base 11) to base 3
-10111022111
What is 12241 (base 15) in base 9?
87357
What is 1230142 (base 6) in base 16?
1026e
-56771 (base 9) to base 12
-19a6a
Convert 1a0b173 (base 13) to base 2.
100000101010110111001001
What is -74a7c (base 13) in base 3?
-101200202121
Convert -a332 (base 13) to base 3.
-1010220000
-13d7bb (base 15) to base 9
-1717525
Convert 76378 (base 9) to base 3.
2120102122
Convert -24223115 (base 6) to base 4.
-2322312113
What is 19412 (base 15) in base 5?
10110132
What is -9970a3 (base 12) in base 10?
-2438331
Convert 5b1ac (base 16) to base 9.
627786
What is 160596 (base 11) in base 6?
5203331
What is 3984751 (base 10) in base 14?
75a251
What is -201102113 (base 4) in base 16?
-21497
Convert 42016 (base 12) to base 10.
86418
15883 (base 16) to base 3
11110222111
100001111111100001000 (base 2) to base 16
10ff08
-217786 (base 10) to base 9
-361664
What is -1001564 (base 7) in base 4?
-130320023
-3bda3 (base 15) to base 11
-121347
What is -12010151 (base 6) in base 13?
-101683
What is 423633 (base 7) in base 11?
50147
Convert 2256561 (base 9) to base 16.
12983b
What is 864 (base 13) in base 11?
1094
-1220213333 (base 5)
|
{
"pile_set_name": "DM Mathematics"
}
|
(w) = -3*w + 4*w + 0*w + 14 + 10*w. Is k(7) composite?
True
Suppose 0*q + 40 = 5*q. Suppose -5*h = -q - 2. Suppose -t - h*u = -27, -7*t + 72 = -3*t - u. Is t a prime number?
True
Let n(a) be the second derivative of 13*a**4/6 + 7*a**3/6 - 3*a**2 + 12*a. Is n(5) a prime number?
False
Let v(k) = 379*k - 4. Let l be v(-1). Is 1 + -2 - (l + 3) a prime number?
True
Let j be (-30)/(-135) - (-94)/(-18). Is (-1594)/(j + 1 - -2) a prime number?
True
Let o = -26 + 28. Let l(n) = 39*n**3 + 5*n**2 - 3*n. Is l(o) a prime number?
False
Let x(t) = 36*t - 6. Let g be x(8). Let f = g - -164. Is f a composite number?
True
Let f = -12 - -16. Let q be (-116)/(-36) - f/18. Is (2/q)/(12/6228) a composite number?
True
Suppose 0 = -5*t + j + 100502, 0 = t - 4*t + 2*j + 60297. Is t composite?
False
Suppose -3*s + 6*s - 4*z - 3778 = 0, -s = -z - 1258. Suppose p + 2098 = 5*c, -s = -7*c + 4*c - p. Is c composite?
False
Let a(i) = -29*i + 6115. Is a(0) a prime number?
False
Let v = 12 - 4. Suppose -80 = -3*q - v. Is 3/(-2)*(-2576)/q prime?
False
Suppose 0 = 2*k - 2*r + 2, -1 + 0 = -2*k + r. Suppose w = k*w - 293. Is w composite?
False
Let b(w) = w**3 - 17*w**2 + 20. Let c be b(17). Let u be ((-16)/c)/((-4)/10). Suppose -o = u*o - 381. Is o a prime number?
True
Let j = 3 + 3. Suppose -9*h + j*h = -447. Is h a composite number?
False
Is (1/3)/((-2)/18) - -824 prime?
True
Let k be -3 + 6 + -2 - 0. Suppose -2*s + k = -5. Suppose 0*b + 228 = s*b - 5*r, -5*b + 3*r = -364. Is b a prime number?
True
Let z(c) = -c**2 + 6*c - 5. Let r be z(5). Suppose t - 141 = -r*t. Let u = -14 + t. Is u prime?
True
Let g(c) = -360*c + 353. Is g(-16) a prime number?
True
Let u(x) = x**2 - 3*x - 16. Let c be u(6). Suppose 4*w - 5477 = -3*b, -2*b - c*w - 1819 = -3*b. Is b composite?
False
Suppose 2514 = 4*z + 2*z. Suppose 0*i = s + 2*i - 196, -2*s + 5*i + z = 0. Is s a composite number?
True
Suppose -2*r = i - 8218 - 929, -5*i + 25 = 0. Is r composite?
True
Suppose -3*v - 2*s + 7819 = 0, -2*v + 5*s = -4146 - 1054. Is v prime?
False
Let c = -14018 + 25219. Is c a prime number?
False
Let n = 5 - 2. Suppose -q - 22 = -5*z + n, -2*z + 10 = 2*q. Suppose 2*h + 3*h + 193 = 2*f, z = h. Is f a prime number?
True
Let n(j) be the first derivative of j**5/30 - 7*j**4/24 + 7*j**3/6 - 7*j**2/2 - 7. Let t(w) be the second derivative of n(w). Is t(-12) prime?
True
Let s = -33 + 38. Suppose -3*a - 2*n + 5275 = 0, 4*n + n + 8800 = 5*a. Suppose s*u = -464 + a. Is u prime?
False
Let h(p) = -p**2 - 5*p + 5. Let x be h(-5). Suppose -2*i + 9 = 5*y, x*y + 2*i - i = 12. Suppose t - z - 396 = -26, y = 3*z. Is t a composite number?
True
Let j(r) = 2*r + 33. Let x be j(-14). Suppose -4*h = -z + 527, -z + x*h = -3*z + 1119. Is z a prime number?
True
Let a(b) = b**3 - 2*b**2 + b. Let d be a(0). Suppose 2256 + 5194 = 4*s + 2*r, d = -5*r + 15. Is s prime?
True
Let o = 26 + -23. Let s be (7 - 1)*2/o. Suppose 2*z - 22 = -4*u + 3*u, -s*u = 2*z - 10. Is z a composite number?
False
Let p(b) = 2*b**3 - 11*b**2 - 23*b + 9. Let t(y) = -y**3 + 9*y**2 - y + 19. Let h be t(9). Is p(h) a composite number?
True
Let m = 51 - 65. Suppose 6 - 46 = -2*k. Is k/(-70) + (-1488)/m composite?
True
Let n = 2031 + -472. Is n a prime number?
True
Suppose 23 = 7*w - 5. Is (-7794)/(-14) + 3/42*w a prime number?
True
Is (88846/6 - -4) + (-20)/(-15) a composite number?
False
Suppose -712 = -2*o - 2*h, 2*o + 0*o = -3*h + 708. Suppose 2*k - 290 = -4*w + o, 5*w - 4*k - 793 = 0. Is w composite?
True
Suppose -5*c + 4*d - 3 = -20, -16 = -2*c - 3*d. Suppose c*j - 3*f - 266 = 0, 3*j - 2*f = -29 + 188. Is j a composite number?
True
Let v(c) = -c**2 + 16*c - 16. Let q be v(-23). Is (q/(-2))/(-6 - 65/(-10)) composite?
True
Suppose 17*i + 18739 = 51566. Is i a composite number?
False
Suppose 0*t - 3*t = -6, -t = 2*w - 10. Suppose 3*c - 2225 - 613 = 0. Suppose w*i + 458 = 2*u, -4*u + 0*u + 2*i = -c. Is u a prime number?
True
Let w = -66667 + 112686. Is w a composite number?
True
Let p = 6934 - -5127. Is p a composite number?
True
Let o(c) be the second derivative of -2/3*c**3 - 6*c + 0 + 0*c**4 + 1/2*c**2 + 1/2*c**5. Is o(3) a composite number?
True
Let m(k) = 621*k + 17. Let p be m(5). Suppose -p - 315 = -4*g - 5*d, 4*g - 5*d - 3387 = 0. Is g a prime number?
True
Let c be (-135)/10*(-76)/6. Suppose 4*l - 5*z - 176 = 0, 5*l - 5*z - c = 54. Is l a prime number?
False
Let b(q) = q**2 + 2*q + 6. Let s be b(3). Is (-4 - s/(-6))*2*-691 prime?
True
Let q = -122 - -265. Is q prime?
False
Suppose 5*p + 4*j - 1 - 7 = 0, -p + 1 = j. Suppose 1068 = -5*u + 6*u. Suppose 0 = -p*t + 104 + u. Is t a composite number?
False
Is 2325/1 + (-2)/(-8)*16 a prime number?
False
Let z(n) be the second derivative of -n**8/6720 - n**6/360 - n**5/20 + n**4/3 - 8*n. Let m(r) be the third derivative of z(r). Is m(-5) prime?
False
Is 7 + 1691 - (-49)/(-7) a composite number?
True
Suppose -12 = -4*l, -t = -2*l - 1864 - 10641. Is t a composite number?
False
Let w be (-2)/(-4)*(0 - 4). Let p be (-2)/(-8) - (-278)/8. Is w/(-5) - (-4571)/p a prime number?
True
Let t(j) = 31*j**2 - 8*j - 14. Let r(g) = 94*g**2 - 24*g - 41. Let a(u) = 3*r(u) - 8*t(u). Is a(-6) a prime number?
False
Let w(k) = 17*k**2 - 50*k - 264. Is w(29) composite?
False
Let d = 118 + -115. Is 1499/((1/(-3))/((-1)/d)) composite?
False
Suppose 0 = -37*u + 367743 + 219706. Is u composite?
False
Let v(u) = 92*u - 25. Let j be v(-9). Let n = j + 1242. Is n prime?
True
Let f(m) = 7*m - 4 - 2*m + 0*m. Let o be f(6). Let x = 117 + o. Is x a composite number?
True
Let f(h) = 2*h - 7. Let w = 4 + 1. Let r be f(w). Suppose r*t + 172 - 445 = 0. Is t prime?
False
Suppose -5*q + 33643 = 2*n, 10*q - 4*n = 15*q - 33641. Is q a composite number?
True
Let r(l) = 47*l**2 + 14*l + 5. Suppose 0*k = 5*k + 20. Is r(k) prime?
True
Let j(u) = -39*u + 15. Let t be j(-14). Let v = t - -448. Is v a prime number?
True
Is ((8 - 450869)/1)/(-3 - 0) a prime number?
True
Let j(o) = -12*o - 5 - 12*o + 25*o. Let i be j(0). Is i/15 + 404/6 a prime number?
True
Let n(o) = 10*o**3 - 7*o - 8. Let i(v) = -v**3 + v + 1. Let y(z) = 6*i(z) + n(z). Let j be y(4). Suppose 0 = 4*m - 138 - j. Is m a composite number?
False
Let a(z) = 67*z + 35191. Is a(0) composite?
True
Suppose h + 3*a - 15309 = -h, -38260 = -5*h - 5*a. Let r = h + -4006. Is r a prime number?
False
Let w(m) = -4*m**3 + 4*m**2 + 8*m - 2. Let x be w(-6). Suppose -182 = 4*s - x. Is s a composite number?
True
Suppose -5*n = -w + 11, -20 = 4*w + w. Let x = n - -15. Let s(z) = 8*z + 10. Is s(x) composite?
True
Suppose 20 = 5*j + 4*f, -3*j + 25 = -f + 6*f. Suppose -4*g - 8 = j, 0*q + 5076 = 4*q - 4*g. Is q a composite number?
True
Let i = -7171 + 19782. Is i prime?
True
Let w = -15 - -18. Let u be (2/(-6))/(w/(-7893)). Let z = u - 606. Is z a composite number?
False
Let j = 5145 + -1486. Is j prime?
True
Let b(t) be the first derivative of -t**2 - 7/3*t**3 - 1/4*t**4 + 7 + 7*t. Is b(-7) a prime number?
False
Let h = -14733 + 39916. Is h a composite number?
False
Suppose -f = 5*r - 4*r + 2, 0 = r + 3*f + 10. Suppose 18740 = r*b + b - l, 18737 = 3*b - 4*l. Is b a composite number?
False
Suppose -178 = -2*i + 1168. Is i a composite number?
False
Let r(q) = -18*q**2 + q - 1. Let j be r(1). Is (-3)/j - (-262)/12 a prime number?
False
Let l(h) = -4*h**3 - 4*h**2 - 40*h + 17. Is l(-19) a prime number?
False
Let a(i) = -5*i - 6*i - 39*i**3 + 4*i - 1. Is a(-3) a composite number?
True
Suppose 3*m - 4*c = 31, -3*m = -m + 3*c - 15. Suppose k = 5*i + m, -2*k + 2*i = -i - 18. Suppose 3*f - 147 = -k. Is f a composite number?
True
Suppose -5*v + 2 = -4*v. Suppose -j - v*r + 21 = 0, -3*r - 77 - 29 = -4*j. Is j composite?
True
Suppose -272424 = -26*j + 2*j. Is j composite?
False
Let z be ((-8)/44 - (-20)/(-11)) + 1. Is 1*(4 - (-1190 - z)) prime?
True
Suppose 2*u + 44 = -4*k + 260, 3*k = 5*u + 162. Let z be ((-6)/(-9))/((-6)/k). Is z/(-4)*(-1016)/(-12) a prime number?
True
Suppose 13*p - 2631 = 2738. Suppose 2*g = -5*g + p. Is g a prime number?
True
Let g(l) = -26*l - 179. Is g(-15) prime?
True
Let g(y) = 80*y**2 - 1. Suppose -3*d = 5*i - 11, -i = 2*d - 4 + 6. Suppose 5*f + i*c + 1 = 4, -6 = 4*f - c. Is g(f) prime?
True
Let q = 977 + -549. Suppose q = j - 4*f, 1963 = 5*j - 4*f - 145. Suppose 0 = -z + 3*b + 220, -5*b - j = -2*z - 3*b. Is z
|
{
"pile_set_name": "DM Mathematics"
}
|
om xjsjy. Give prob of sequence syx.
1/60
Calculate prob of sequence cz when two letters picked without replacement from {h: 2, r: 2, d: 1, c: 3, b: 8, z: 1}.
3/272
What is prob of sequence ngg when three letters picked without replacement from {n: 1, g: 3}?
1/4
Two letters picked without replacement from {q: 1, p: 1, r: 2, d: 1, m: 4}. What is prob of sequence qd?
1/72
Two letters picked without replacement from zbzbbbmz. Give prob of sequence bb.
3/14
What is prob of sequence ghgg when four letters picked without replacement from hghgg?
1/10
Calculate prob of sequence jkm when three letters picked without replacement from jmkccj.
1/60
Calculate prob of sequence mmzz when four letters picked without replacement from mmmmmmmzzmmm.
1/66
Two letters picked without replacement from adccatdaaaaaatda. Give prob of sequence dd.
1/40
What is prob of sequence aa when two letters picked without replacement from gaggggagg?
1/36
Two letters picked without replacement from hgqgzgtgzg. What is prob of sequence zt?
1/45
Four letters picked without replacement from {k: 1, d: 2, f: 3, x: 2, i: 1, h: 8}. What is prob of sequence hdff?
1/595
Calculate prob of sequence mbrn when four letters picked without replacement from rrtrrboomtnrot.
5/24024
Two letters picked without replacement from ahaha. Give prob of sequence ah.
3/10
What is prob of sequence cp when two letters picked without replacement from lzuxulcpuxxuu?
1/156
Three letters picked without replacement from {k: 1, j: 6, v: 1, o: 7}. Give prob of sequence ojv.
1/65
Three letters picked without replacement from {f: 1, s: 2, c: 1, t: 1}. Give prob of sequence sst.
1/30
Three letters picked without replacement from bbbbbbbdbdddbb. What is prob of sequence dbb?
15/91
Two letters picked without replacement from eeekelieilkeleieeeee. What is prob of sequence kk?
1/190
Calculate prob of sequence vkvk when four letters picked without replacement from vkvvvvkkvvvkvkvvvv.
13/306
Three letters picked without replacement from {v: 2, p: 3, s: 3, e: 5}. Give prob of sequence pse.
15/572
What is prob of sequence bff when three letters picked without replacement from {q: 2, b: 4, f: 7}?
14/143
What is prob of sequence efre when four letters picked without replacement from eeferfffer?
2/105
Two letters picked without replacement from ppzzpzpzzz. What is prob of sequence zp?
4/15
What is prob of sequence vzb when three letters picked without replacement from {f: 3, e: 3, z: 2, t: 2, b: 1, v: 1}?
1/660
Calculate prob of sequence ii when two letters picked without replacement from iii.
1
Two letters picked without replacement from skbdn. What is prob of sequence sb?
1/20
What is prob of sequence kkq when three letters picked without replacement from {k: 10, g: 2, q: 6}?
15/136
Two letters picked without replacement from tfetttetftttttt. What is prob of sequence ff?
1/105
Three letters picked without replacement from {l: 4, g: 4, o: 4, c: 1, r: 3}. Give prob of sequence olg.
2/105
What is prob of sequence ddk when three letters picked without replacement from {d: 7, k: 2, u: 8, y: 3}?
7/570
What is prob of sequence ku when two letters picked without replacement from {k: 2, m: 1, f: 3, p: 4, u: 2}?
1/33
Calculate prob of sequence gr when two letters picked without replacement from {f: 3, g: 4, x: 4, q: 2, r: 3, y: 1}.
3/68
Calculate prob of sequence xj when two letters picked without replacement from xxkkkjjjjjk.
1/11
Calculate prob of sequence byq when three letters picked without replacement from bbbbybybybybybybq.
1/68
Two letters picked without replacement from {f: 1, h: 2, v: 1, i: 2}. What is prob of sequence fh?
1/15
Calculate prob of sequence vc when two letters picked without replacement from {e: 4, p: 1, c: 1, x: 6, k: 4, v: 3}.
1/114
Two letters picked without replacement from maydddmymdmuy. Give prob of sequence yu.
1/52
What is prob of sequence rb when two letters picked without replacement from nrb?
1/6
Calculate prob of sequence ewn when three letters picked without replacement from {w: 10, c: 2, e: 1, n: 1, i: 3, r: 2}.
5/2907
Four letters picked without replacement from {b: 2, q: 4, o: 2}. Give prob of sequence qqqo.
1/35
Four letters picked without replacement from sfssfffsfdsl. What is prob of sequence ldlf?
0
What is prob of sequence uiv when three letters picked without replacement from zzuzvyvzvzzviiy?
4/1365
Calculate prob of sequence aa when two letters picked without replacement from {a: 9}.
1
What is prob of sequence cc when two letters picked without replacement from {e: 1, q: 2, c: 3, y: 1}?
1/7
Four letters picked without replacement from {j: 3, c: 4}. Give prob of sequence ccjc.
3/35
Three letters picked without replacement from {o: 9, w: 1, k: 3, v: 3, i: 2}. Give prob of sequence kii.
1/816
What is prob of sequence nf when two letters picked without replacement from {h: 5, o: 2, f: 3, n: 1, t: 1, k: 1}?
1/52
Four letters picked without replacement from {q: 1, u: 1, t: 1, d: 2, p: 1, r: 1}. Give prob of sequence qpdt.
1/420
Three letters picked without replacement from lzzayzzzaazzzzzzlzz. Give prob of sequence azl.
13/969
What is prob of sequence lhh when three letters picked without replacement from {h: 11, l: 2}?
5/39
What is prob of sequence vt when two letters picked without replacement from vvvvvtvtvtvv?
9/44
Three letters picked without replacement from aaaaaaaaaaafa. What is prob of sequence faa?
1/13
What is prob of sequence kn when two letters picked without replacement from knkovvrorvoovovr?
1/120
Four letters picked without replacement from foffffof. What is prob of sequence ooff?
1/28
What is prob of sequence sp when two letters picked without replacement from {w: 3, z: 1, i: 4, s: 1, v: 4, p: 1}?
1/182
Three letters picked without replacement from {u: 12, k: 3, g: 1}. Give prob of sequence kuk.
3/140
What is prob of sequence rkii when four letters picked without replacement from riiqiikx?
1/140
Three letters picked without replacement from {w: 4, y: 6, b: 5}. Give prob of sequence bwb.
8/273
Four letters picked without replacement from {x: 2, g: 3, z: 1, p: 10}. Give prob of sequence ggzg.
1/7280
What is prob of sequence zxz when three letters picked without replacement from {z: 4, x: 6}?
1/10
Calculate prob of sequence yyyy when four letters picked without replacement from yccyyyy.
1/7
Four letters picked without replacement from {q: 3, w: 7}. What is prob of sequence qqwq?
1/120
Two letters picked without replacement from wwwxbxlpxppcbpbppp. What is prob of sequence bb?
1/51
Calculate prob of sequence xz when two letters picked without replacement from {m: 1, z: 1, t: 1, x: 5, u: 1}.
5/72
Three letters picked without replacement from vvvevevvvveedvewv. What is prob of sequence dvv?
3/136
Three letters picked without replacement from {i: 1, y: 8, h: 1, u: 6}. Give prob of sequence huu.
1/112
Four letters picked without replacement from hhssehehshshhh. Give prob of sequence hhse.
8/429
Three letters picked without replacement from ieieeeeiiee. Give prob of sequence iei.
14/165
Four letters picked without replacement from gqnqeqd. What is prob of sequence negq?
1/280
Two letters picked without replacement from lwwwwlwwww. Give prob of sequence ww.
28/45
Calculate prob of sequence ijhi when four letters picked without replacement from {j: 1, i: 2, n: 4, l: 2, h: 2, f: 9}.
1/29070
What is prob of sequence xx when two letters picked without replacement from cmxcccccmcmmm?
0
What is prob of sequence myy when three letters picked without replacement from tqynctmy?
1/168
Two letters picked without replacement from lllddldllllllldlllll. Give prob of sequence ld.
16/95
Calculate prob of sequence uw when two letters picked without replacement from uvuwuuww.
3/14
Calculate prob of sequence gc when two letters picked without replacement from {g: 1, n: 2, j: 1, c: 2}.
1/15
Three letters picked without replacement from {g: 9, z: 5}. Give prob of sequence ggg.
3/13
Calculate prob of sequence mm when two letters picked without replacement from mmmqmmmmmmmmm.
11/13
Calculate prob of sequence aai when three letters picked without replacement from aaaaaaaaiaaaiaaaai.
35/272
Three letters picked without replacement from {k: 16, p: 3, j: 1}. Give prob of sequence kpk.
2/19
Two letters picked wit
|
{
"pile_set_name": "DM Mathematics"
}
|
1, -2775405751?
-555081150*o - 1
What is the w'th term of -14152, -14016, -13880, -13744, -13608?
136*w - 14288
What is the l'th term of 40389816, 80779632, 121169444, 161559252, 201949056, 242338856?
-2*l**2 + 40389822*l - 4
What is the t'th term of 263220, 263325, 263500, 263745?
35*t**2 + 263185
What is the l'th term of -1450, -2025, -824, 3041, 10458?
148*l**3 - 1611*l + 13
What is the n'th term of 25459, 54456, 83453, 112450?
28997*n - 3538
What is the o'th term of 309, -647, -1623, -2619, -3635, -4671, -5727?
-10*o**2 - 926*o + 1245
What is the i'th term of -13573, -26917, -40261?
-13344*i - 229
What is the s'th term of -143481, -139963, -130411, -111807, -81133, -35371?
503*s**3 - s**2 - 143983
What is the q'th term of -1907, -988, -69?
919*q - 2826
What is the a'th term of 1029289, 2058546, 3087803, 4117060?
1029257*a + 32
What is the v'th term of -7122, -29169, -65920, -117381, -183558?
-v**3 - 7346*v**2 - 2*v + 227
What is the v'th term of 572676, 2290662, 5153982, 9162642, 14316648, 20616006, 28060722?
v**3 + 572661*v**2 - 4*v + 18
What is the n'th term of -33070126, -33070125, -33070124, -33070123?
n - 33070127
What is the d'th term of 4574, 17425, 38552, 67949, 105610, 151529, 205700?
-d**3 + 4144*d**2 + 426*d + 5
What is the j'th term of -17667, -35186, -52719, -70272, -87851?
-j**3 - j**2 - 17509*j - 156
What is the b'th term of 258411, 258450, 258489, 258528, 258567?
39*b + 258372
What is the y'th term of 4049, 41897, 104977, 193289, 306833, 445609?
12616*y**2 - 8567
What is the s'th term of -130869, -130826, -130783, -130740, -130697, -130654?
43*s - 130912
What is the f'th term of -5087, -24570, -44053, -63536, -83019, -102502?
-19483*f + 14396
What is the u'th term of -38534, -38873, -39436, -40223, -41234?
-112*u**2 - 3*u - 38419
What is the w'th term of -13, 432, 1185, 2246, 3615?
154*w**2 - 17*w - 150
What is the j'th term of 333745, 667493, 1001241, 1334989?
333748*j - 3
What is the r'th term of -446899, -893773, -1340627, -1787461, -2234275?
10*r**2 - 446904*r - 5
What is the g'th term of 54879, 54627, 54375, 54123?
-252*g + 55131
What is the g'th term of 41031406, 82062822, 123094238, 164125654, 205157070, 246188486?
41031416*g - 10
What is the r'th term of 4390, 8553, 12510, 16273, 19854?
2*r**3 - 115*r**2 + 4494*r + 9
What is the x'th term of -85638, -171241, -256842, -342441, -428038, -513633?
x**2 - 85606*x - 33
What is the k'th term of 85, 1027, 3697, 8989, 17797?
149*k**3 - 30*k**2 - 11*k - 23
What is the a'th term of -32512, -59394, -86276?
-26882*a - 5630
What is the j'th term of -8253, -31737, -70437, -124353?
-7608*j**2 - 660*j + 15
What is the d'th term of 401958, 803939, 1205938, 1607949, 2009966, 2411983, 2813994?
-d**3 + 15*d**2 + 401943*d + 1
What is the z'th term of -636664, -1275278, -1913892?
-638614*z + 1950
What is the j'th term of 2002, 3314, 4630, 5950, 7274, 8602?
2*j**2 + 1306*j + 694
What is the f'th term of -426345, -851910, -1277475, -1703040, -2128605, -2554170?
-425565*f - 780
What is the u'th term of -1472422, -2944844, -4417266, -5889688, -7362110?
-1472422*u
What is the l'th term of 8092944, 16185885, 24278826, 32371767, 40464708?
8092941*l + 3
What is the h'th term of -459, -829, -1115, -1257, -1195, -869, -219, 815?
10*h**3 - 18*h**2 - 386*h - 65
What is the z'th term of 230, 310, 378, 428, 454, 450?
-z**3 + 87*z + 144
What is the v'th term of -38211, -152365, -342621, -608979, -951439?
-38051*v**2 - v - 159
What is the p'th term of 20894, 40996, 61104, 81218, 101338, 121464?
3*p**2 + 20093*p + 798
What is the d'th term of 4377, 35158, 118757, 281598, 550105, 950702, 1509813?
4404*d**3 - 15*d**2 - 2*d - 10
What is the q'th term of 119207, 118774, 118051, 117038?
-145*q**2 + 2*q + 119350
What is the g'th term of 53589, 52358, 50307, 47436, 43745, 39234?
-410*g**2 - g + 54000
What is the h'th term of -9733, -39149, -88181, -156829, -245093, -352973, -480469?
-9808*h**2 + 8*h + 67
What is the y'th term of -291139, -582294, -873449, -1164604, -1455759, -1746914?
-291155*y + 16
What is the f'th term of -9362, -37399, -84090, -149399, -233290?
6*f**3 - 9363*f**2 + 10*f - 15
What is the c'th term of 40590, 41240, 42322, 43836, 45782?
216*c**2 + 2*c + 40372
What is the t'th term of 112397, 224799, 337201, 449603?
112402*t - 5
What is the m'th term of -30438, -121841, -274208, -487563, -761930, -1097333, -1493796, -1951343?
-4*m**3 - 30458*m**2 - m + 25
What is the n'th term of 464579, 464494, 464413, 464336, 464263?
2*n**2 - 91*n + 464668
What is the y'th term of 8730, 8229, 7728, 7227?
-501*y + 9231
What is the t'th term of 485290, 1941193, 4367698, 7764805, 12132514, 17470825, 23779738?
485301*t**2 - 11
What is the a'th term of 155592, 311213, 466870, 622581, 778364?
3*a**3 + 155600*a - 11
What is the a'th term of 6283, 2972, -343, -3662, -6985?
-2*a**2 - 3305*a + 9590
What is the m'th term of -655177, -656227, -657279, -658333, -659389, -660447, -661507?
-m**2 - 1047*m - 654129
What is the m'th term of -15537, -30888, -46095, -61152, -76053, -90792, -105363?
m**3 + 66*m**2 - 15556*m - 48
What is the v'th term of 216, -1199, -5018, -12435, -24644?
-199*v**3 - 8*v**2 + 2*v + 421
What is the d'th term of -44281, -88575, -132879, -177193, -221517, -265851?
-5*d**2 - 44279*d + 3
What is the t'th term of 391215, 390974, 390723, 390456, 390167?
-t**3 + t**2 - 237*t + 391452
What is the l'th term of -966978, -1933967, -2900956?
-966989*l + 11
What is the w'th term of 88885, 177765, 266653, 355555, 444477?
w**3 - 2*w**2 + 88879*w + 7
What is the s'th term of 77470, 153184, 228898, 304612, 380326, 456040?
75714*s + 1756
What is the z'th term of 362569, 362018, 361465, 360910, 360353, 359794, 359233?
-z**2 - 548*z + 363118
What is the p'th term of -174453, -699176, -1573715, -2798070, -4372241, -6296228?
-174908*p**2 + p + 454
What is the k'th term of -14457, -28852, -43215, -57546, -71845?
16*k**2 - 14443*k - 30
What is the h'th term of -52208, -54504, -56800, -59096, -61392?
-2296*h - 49912
What is the r'th term of -91624085, -91624082, -91624077, -91624070, -91624061?
r**2 - 91624086
What is the h'th term of 37688, 47185, 63014, 85175, 113668, 148493, 189650?
3166*h**2 - h + 34523
What is the x'th term of -2327317, -2327314, -2327311, -2327308?
3*x - 2327320
What is the g'th term of -5118, -14468, -23818, -33168, -42518, -51868?
-9350*g + 4232
What is the w'th term of -7205, -7099, -6919, -6665?
37*w**2 - 5*w - 7237
What is the v'th term of 4482491, 8965026, 13447561?
4482535*v - 44
What is the p'th term of -13699, -13288, -12201, -10108, -6679?
55*p**3 + 8*p**2 + 2*p - 13764
What is the k'th term of -315618, -631806, -947998, -1264194, -1580394, -1896598?
-2*k**2 - 316182*k + 566
What is the n'th term of 39242630, 39242625, 39242620, 39242615?
-5*n + 39242635
What is the j'th term of 5980, 47826, 161428, 382672, 747444, 1291630, 2051116, 3061788?
5981*j**3 - 8*j**2 + 3*j + 4
What is the a'th term of 3251073, 6502155, 9753239, 13004325, 16255413, 19506503?
a**2 + 3251079*a - 7
What is the v'th term of -793, -4679, -11661, -21739, -34913?
-1548*v**2 + 758*v - 3
What is the c'th term of 43756, 43805, 43948, 44233, 44708?
8*c**3 - c**2 - 4*c + 43753
What is the g'th term of 408, 9629, 25004, 46533, 74216, 108053, 148044?
3077*g**2 - 10*g - 2659
What is the k'th term of -89, -314, -611, -896, -1085?
14*k**3 - 120*k**2 + 37*k - 20
What is the i'th term of 106, 66, 148, 424, 966, 1846, 3136?
12*i**3 - 11*i**2 - 91*i + 196
What is the u'th term of -2672650, -2672654, -2672658, -2672662, -2672666?
-4*u - 2672646
What is the z'th term of 265, 151, -693, -2639, -6059, -11325, -18809, -28883?
-62*z**3 + 7*z**2 + 299*z + 21
What is the s'th term of -23404, -33723, -44042, -54361, -64680, -74999?
-10319*s - 13085
What is the h'th term of -434398, -434404, -434402, -434392?
4*h**2 - 18*h - 434384
What is the g'th term of 11864, 11722, 11580, 11438, 11296?
-142*g + 12006
What is the h'th term of -21507256, -21507295, -21507334, -21507373, -21507412, -21507451?
-39*h - 21507217
What is the p'th term of -832, -1869, -3122, -4579, -6228, -8057, -10054?
2*p**3 - 120*p**2 - 691*p - 23
What is the t'th term of -177319, -709266, -1595843, -2837050?
-177315*t**2 - 2*t - 2
What is the v'th term of 1024, 1864, 2342, 2
|
{
"pile_set_name": "DM Mathematics"
}
|
d 1*17*1/(-2)?
10
Suppose 97*j - 186*j = -93*j + 2504. What is the smallest common multiple of 2 and j?
626
Let a(y) = -y**3 - 4*y**2 + 14*y + 11. Calculate the lowest common multiple of a(-7) and 2 + 1 - (3 + -30).
60
Let n(z) = 2*z**2 - 10*z - 4. Calculate the smallest common multiple of n(12) and (1251/63 + -19)*42.
1476
Suppose -q + 387 = 4*v - 195, 2*v + 4*q - 270 = 0. Calculate the lowest common multiple of v and 357.
2499
Let a = -2032 - -2122. Calculate the smallest common multiple of 15 and a.
90
Let t(h) = 4*h**2 + 15*h - 34. Let r be t(7). Let v = -179 + r. Calculate the lowest common multiple of 64 and v.
704
Let t = -57912 - -4517203/78. Calculate the common denominator of (-38)/(-15)*60/(-462)*-7 and t.
858
Let r(k) = -59*k + 280. What is the lowest common multiple of 720 and r(4)?
7920
Suppose 3*x - 17 = -4*f, -2*f = f + x - 14. Let l = -387 + 394. Suppose -4*w - l = -f*w. Calculate the least common multiple of 11 and w.
77
Let h = 3/428 + -10385/856. Let z be (188/(-408))/((-5)/(-320)). Let r = -66229/2040 - z. Find the common denominator of r and h.
40
Suppose -2366 = -58*y - 254*y - 26*y. Let a = -3 + 7. Suppose 9 = 4*z - 3*o, -4 + 14 = 5*z - a*o. What is the lowest common multiple of z and y?
42
Let x(v) = -43*v + 399. What is the least common multiple of x(9) and 1125?
4500
Let z be 4/(20/165) + 6. Suppose -42*g + z*g = -48. Calculate the lowest common multiple of g and (9 + 3)*(-2)/(-4).
48
Let x = -11/2884 + -43571/12978. What is the common denominator of x and 40/99?
396
Suppose -4*h = -0*h - 33396. Let s be (-3611430)/432 - 0/2 - -8. Let d = s + h. What is the common denominator of d and 58/33?
264
Let o be 4/(-1) - (-313 - 3). Suppose 0 = 13*q - 5*q + o. Let m = q - -52. What is the least common multiple of m and 11?
143
Let b(a) = -a - 2. Let d be b(-1). Find the common denominator of (-24 + 25)*d/2 and (1 - 31/(-18)) + (1 - 4).
18
Let j be 2/(-5) + 558/(-30). Find the common denominator of (35/(-56))/((-1)/j) and -13/10.
40
Suppose a = 4*c + 49 - 15, 2*a - 48 = -2*c. Suppose -12*w - 2*s + 70 = 0, 3*w - 5*s - 56 = -0*w. What is the smallest common multiple of a and w?
182
Calculate the common denominator of (291/(-75))/(7 + 154/(-10)) and -181/60.
420
Let t(o) = 14*o**2 - 119*o - 1190. Calculate the lowest common multiple of t(-10) and 40.
1400
Suppose -2*b = -y + 4, 4*b - 3*y = 2*y - 14. Let k = 867 - 6050/7. Find the common denominator of (-3 + b)*(-117)/60 and k.
35
Calculate the common denominator of -95/4812 and (268/28)/(198/(-231)).
4812
Let f be (34164/32)/(-3 + (-830)/(-264)). Let c = f - 7418. What is the common denominator of -103/14 and c?
266
Let j = 52 - 40. What is the smallest common multiple of j and (4/(-5) + 0)*4320/(-108)?
96
Let r = -1896 + 2172. What is the lowest common multiple of r and 60?
1380
Let n be (-280)/(-175) - (-14072)/30. Let t = 144076459/298995 + -49/19933. Let z = n - t. Calculate the common denominator of 99/8 and z.
40
Let r = -5/4571822 + -769119900911/54861864. Let v = r + 14017. Calculate the common denominator of 4/108*-6 - (-5)/144 and v.
48
Suppose 12 = -3*f, -2*f = -9*b + 5*b + 11168. Let m = 22271/8 - b. Find the common denominator of m and 20/79.
632
Let a = 28167/1160 + -644/29. Find the common denominator of a and 2*4/((-32)/50).
40
Let i(u) = u**3 - 6*u**2 - u - 1. Let x be i(4). Suppose -81*o - 16 = v - 83*o, 5*o - 1 = v. Let r = v - x. What is the least common multiple of 6 and r?
66
Let c = 29 - 27. Let j(u) = 8*u**c - 2 - 23*u**3 - u - 2*u - 8*u**2. Calculate the lowest common multiple of j(-1) and 30.
120
Suppose -3*u = -4*g + 46, 42 = -2*u - 3*g - 0. Let o = -7543/11 - -687. What is the common denominator of u/(-30)*3/9 and o?
55
Let t = 846713/693870 - 805/687. What is the common denominator of t and -161/3030?
3030
Let w(p) = 9*p - 1. Let b be w(1). Suppose -3*i - 10 = -b*i. Calculate the lowest common multiple of (0 - (1 - 2)) + (2 - i) and 11.
11
Let o = -189/55 + 20899/6930. Calculate the common denominator of 16/21 and o.
126
Find the common denominator of -24/527 and (624/1950)/((-68)/70).
2635
Let g = 12307407/2098276 + -5850/1003. Calculate the common denominator of g and 87/8.
4184
Let q(b) = -668*b - 808. What is the lowest common multiple of 66 and q(-2)?
528
Let a(m) = 2*m**3 - 17*m**2 + 22*m - 11. Let x(j) = j**3 - 18*j**2 + 22*j - 10. Let c(d) = 2*a(d) - 3*x(d). What is the lowest common multiple of c(-21) and 10?
290
Let t = -56 - -58. Let w be -14 + 6 - (-1 - (-1 + t)). Let p(u) = 2*u**3 + 13*u**2 - 6. Calculate the least common multiple of p(w) and 20.
60
Suppose 5*b + 3*s = 4*s + 37, -2*s = b - 14. Let h = -105 + 114. Suppose h*w + 36 = 12*w. What is the least common multiple of w and b?
24
Suppose -40*r + 3541 = -1339. Let a(p) = p**3 - 6*p**2 + 10*p. Calculate the lowest common multiple of r and a(4).
488
What is the common denominator of 11/48 and (2755/(-19475))/((-6)/(-20))?
1968
Let h = 5949893/2532 - 35248/15. Find the common denominator of h and -71/80.
16880
Suppose 2*n + 2260 = -3*n + 2980. Calculate the lowest common multiple of n and 648.
1296
Let j = 32 - 31. What is the common denominator of 113/6 and j + 2 + (306/(-93) - -1)?
186
Let x = -311728 + -49262. Let t = -11911496/33 - x. Let u = t - 113/3. What is the common denominator of 50 and u?
11
Let h = 82824/31 + -92097653/34472. What is the common denominator of 18/1529 and h?
12232
Let p be (-6)/(-9) + (20/(-3) - 3). Let b = 99 + p. Suppose -6*z + b = -48. Calculate the smallest common multiple of z and 9.
207
Let x = -2930 + 2938. Calculate the least common multiple of 596 and x.
1192
Let v(g) = -9 - 24 + 4*g - 3. Let n be v(11). What is the smallest common multiple of 86/n + (-15)/20 and 12?
60
Suppose 2 = -3*y + 32. Let a be 145/(3 + (0 - 1) + -3). Let p = a - -179. Calculate the lowest common multiple of y and p.
170
What is the lowest common multiple of 58146/792 + (-15)/36 and 2263?
2263
Let l = -161 - -89. Let q = 54 - 46. Calculate the lowest common multiple of l/(-3) + 10/5 and q.
104
Let w = -555 + -96. Let f = -599 - w. Calculate the lowest common multiple of f and 6.
156
Let q = 23603 - 330405/14. Calculate the common denominator of -93/1306 and q.
9142
Let d(n) = 786*n - 1245. Let a be d(21). Let c be 1/3 + 3662338/240. Let b = a - c. Calculate the common denominator of -89/10 and b.
40
Let x = 631/100 - 244/25. Find the common denominator of x and 91/74.
740
Suppose 2*k - 3 = i, -5 = -4*k - 2*i + 13. Let x be -6 + -1*(-11 + 6). Calculate the lowest common multiple of k and x/(-4 + (-325)/(-55) + -2).
33
Suppose 1127*a - 1296 = 1115*a. Suppose 0 = 4*g - 3*g - 108. What is the smallest common multiple of a and g?
108
Let d = 250/33 + -2086/165. Find the common denominator of 1/4 - (-1)/252 and d.
315
Let r = -304/5 - -8483/135. Calculate the common denominator of (0 - 2) + (-664)/(-192) and r.
216
Let x = -3679706/3 - -4851309/4. Let z = x + 13733. Find the common denominator of z and (-7)/(-4) - 2 - 668/144.
36
Calculate the common denominator of 2091/(-64944) + (-1 - -1 - -3 - 3) and -5/462.
3696
Let q be -3 + 2655/680 + -3. Let w = 69/34 - q. Calculate the common denominator of w and 103/22.
88
Let r be (68/6)/(8/12). Suppose r = 6*x - 895. Calculate the smallest common multiple of 4 and x.
152
Let x = -9 - -27. Suppose -23*d + 8*d + 45 = 0. What is the lowest common multiple of 1 + (-4)/d + (-804)/(-36) and x?
198
Suppose -5*f + 5*g = -0*g - 85, 4*g - 12 = -f. Let n = -111 - -116. What is the smallest common multiple of n and f?
80
Find the common denominator of 18/8 + (-2100)/648 and 19/66.
1188
Suppose 1469 = 6*q - 2833. What is the lowest common multiple of q and 21?
5019
Let u = -6 - -8. Find the common denominator of (-81)/60*u - 1 and 1 - (2/5)/(8/(-530)).
10
Calculate the smallest common multiple of (68/1)/((-70)/(-1155)) and 748.
2244
Let r = 14622 + -12256. What is the smallest common multiple of 18 and r?
21294
What is the lowest common multiple of (-39)/65 - (-16)/10 and 1*-1 + (1 - -2)?
2
Let z be -7 - -1 - (-7024)/(-223). Let y = z + -1/446. Let u = 2484 - 42242/17. What is the common denominator of y and u?
34
Let c = 1250 - -454. What is the lowest common multiple of c and 16?
3408
Let l(q) = -3*q + 15. Let h be -1*((-4)/(-4) + (-14)/7). W
|
{
"pile_set_name": "DM Mathematics"
}
|
- g. Is g composite?
False
Suppose -2*w - 4*s - 2 = 0, 2*w - 3*s - 8 = -3*w. Is (-192 + w)*(-1)/1 composite?
False
Let z(w) = -w**3 - 5*w**2 + 2. Let l be z(-5). Suppose 3*m + 210 = l*k, 2*m + m = -5*k + 567. Is k prime?
False
Suppose 3*z = 4*z. Suppose -155 = -5*r - z*r. Is r a composite number?
False
Let r(n) = 4*n - 3. Let g be r(-4). Let s = 184 - g. Is s a prime number?
False
Suppose 26 = d - 36. Suppose 123 = 5*z - d. Is z a composite number?
False
Let o = -5 - -11. Suppose -16 = -4*v, -5*w - 3*v = -o*v - 548. Suppose g = -3*g + 5*t + 227, -2*g = -2*t - w. Is g a prime number?
True
Let g(y) = 2 - 2*y - 4 + 1. Let x = 4 + -6. Is g(x) composite?
False
Let d(z) = 14*z**2 - 8*z + 5. Is d(-6) prime?
True
Suppose 2*w - b = b + 2, 3*w = 4*b + 1. Is 3556/(w + 1)*1 prime?
False
Let o(b) = -25*b + 1. Is o(-2) prime?
False
Suppose 596 = 3*v + v. Suppose -h - 4*x = -v, -4*h + x - 2*x = -581. Is h a prime number?
False
Is 3219/27 - 4/18 a composite number?
True
Let n(k) = -55*k - 8. Is n(-3) a prime number?
True
Let k = 7 + -5. Let p(l) = 3*l**2 + 3*l + 24. Let q be p(-7). Suppose 3*w = c - k*w - q, 4*c + 2*w = 622. Is c prime?
False
Let c(u) = -5*u - 1. Let o be c(-1). Suppose -6*n + n = o*i - 54, -23 = -3*i + 5*n. Is i a composite number?
False
Let t = 10 + -32. Let d = t - -48. Is d a prime number?
False
Let h(c) = -2*c - 4. Let y be (-16)/6 + 4/(-12). Let l be h(y). Suppose t - 327 = -l*t. Is t composite?
False
Let y = -2 - -1. Let g be y + 1 + -69 + 1. Is (-4)/12 + g/(-6) a prime number?
True
Suppose j + 2*g - 481 = 0, 2*g + 3*g + 453 = j. Is j a composite number?
True
Suppose 2*i = 4*n + 2306, 2*n = -1 - 1. Is i a composite number?
False
Let a = -486 - -1223. Is a prime?
False
Let p(a) be the second derivative of -4/3*a**3 + 0 - 1/2*a**2 - a. Is p(-5) prime?
False
Suppose 0 = 5*o - 22 + 2. Suppose o*c - 132 = -5*f, -32 = -5*c - 2*f + 150. Suppose 4*r - 110 = -3*j, -4*j - 4*r + 110 + c = 0. Is j prime?
False
Suppose t - 2*t + 127 = 0. Is t a prime number?
True
Let x = 47 + -24. Suppose 0 = -t - 8 - 4. Let k = t + x. Is k a composite number?
False
Let t(a) = -5*a**3 - 2*a**2 - 2*a + 3. Let g(j) = -j**3 - j**2 + j + 1. Let q(k) = 3*g(k) - t(k). Let m be q(4). Suppose -m = -0*h - 4*h. Is h a prime number?
False
Suppose -n - 267 = -r - 58, 5*n = -r + 209. Is r a prime number?
False
Is (3 - 49/21)/(2/3453) a prime number?
True
Let z be 1135/5 - (2 + -3). Suppose x - z - 137 = 0. Is x a prime number?
False
Let w(g) = -614*g - 17. Is w(-2) prime?
False
Suppose -4*m - 2*k + 0*k = -3404, 0 = -3*m + 4*k + 2553. Is m a composite number?
True
Suppose 5*d + m - 9237 = 0, -5 = -2*m - 1. Is d a composite number?
False
Suppose 3*b = -2*b - 445. Let z = -58 - b. Is z prime?
True
Suppose i + 3*i = 12. Suppose 2*s + 0*n - 206 = i*n, 3*s - 2*n - 299 = 0. Is s prime?
True
Is -2*(0 - (-89)/(-2)) a prime number?
True
Let i(h) = h**2 - 6*h + 4. Let v be i(5). Let b be 2 + (21/v)/3. Let z(j) = -j + 1. Is z(b) a prime number?
False
Suppose -9*k + 390 + 4947 = 0. Is k a composite number?
False
Suppose 2*q + 3*p + 0*p = 261, -2*q = -4*p - 254. Suppose 0 = -u + q + 82. Is u a prime number?
True
Let d(h) = -h**2 - 9*h. Let u be d(-8). Let c(s) = 5*s**2 - 7*s + 7. Is c(u) composite?
False
Let g(b) = 5*b**2 + 4*b + 1. Let z be (-2)/4*-2 + 5. Is g(z) prime?
False
Suppose 0 = -6*h + 7*h. Suppose -i + 2*b = -143, -5*i - 4*b - b + 640 = h. Is i composite?
True
Suppose 1407 = 3*p + 4*o, -3*p + 19*o + 1407 = 14*o. Is p a prime number?
False
Let g = -4335 + 3094. Is g/(-3) - 4/6 a composite number?
True
Let p(k) = -31*k**3 - 2*k**2 + 6*k - 3. Let m be p(-5). Suppose 0 = -6*f + 1134 + m. Is f a composite number?
False
Let m = 0 + 3. Suppose 5*h - 256 = -j, -4*j + 9*j - 158 = -m*h. Is h prime?
False
Let g be (-2)/(-6) - 5/15. Suppose g = -5*x + 6 - 56. Let m = 29 + x. Is m a prime number?
True
Let r(c) = -c**2 - 5*c + 6. Let y be r(-6). Suppose y = 3*q - 16 - 14. Is q composite?
True
Let k(n) = 3*n**3 - 4*n**2 - 5*n + 5. Let v(s) = -s**3 + s - 1. Let j(g) = -k(g) - 2*v(g). Let d = 3 - -1. Is j(d) a composite number?
True
Is (-1781)/(-3) - (-4)/(-6) prime?
True
Suppose 23 + 44 = x + 3*j, 167 = 2*x - 5*j. Suppose 0*w - x = 2*w. Let g = w + 117. Is g a prime number?
True
Is 1*581 + 7 + -7 a prime number?
False
Let z = 15 - -21. Suppose 4*c + 4 = -16, 4*c + 11 = -3*k. Suppose z = k*y - 21. Is y a composite number?
False
Let a(p) = -p**3 - 12*p**2 - 13*p - 14. Let b be a(-11). Suppose 7*u - b*u = -159. Is u prime?
False
Suppose 5*q - 20 = 3*q. Suppose -r - 2*t - q = -0*t, 0 = -5*t - 10. Is r*-5*2/6 a composite number?
True
Let o(m) = -3*m + 1. Let d be o(-1). Is -4 - (0/d + -147) a prime number?
False
Let l be (80/(-12))/(1/(-12)). Suppose 2*d - l = -2*k, 5*d + 2*k = 4*d + 45. Is d a prime number?
False
Suppose y - 4*y - 33 = 0. Let z = y + 16. Suppose 3*l - 149 = 5*a, -z*l + 0*a = a - 267. Is l a prime number?
True
Let u(a) = -103*a + 11. Let m(w) = 52*w - 5. Let r(x) = 13*m(x) + 6*u(x). Suppose 0 = 3*q + q - 4. Is r(q) a composite number?
False
Let o(d) = d**2 + 4*d - 2. Suppose 3*z = 2*z + 15. Let m be 5/2*18/z. Is o(m) prime?
True
Let n(o) = 526*o - 11. Is n(8) a composite number?
True
Let j(b) = -b + 3. Let t be j(3). Suppose t = -0*q - 3*q + 2*l + 235, -4*l = 4*q - 300. Is q a composite number?
True
Let m(x) = 31*x + 1. Let d be m(3). Let f = d - 60. Suppose 15 = -5*c, 35 = 3*g - 4*c - f. Is g a composite number?
False
Let s = 453 - 191. Is s a prime number?
False
Let a be (-20)/3*(-60)/50. Suppose s - 11 = -0*s. Let h = s + a. Is h prime?
True
Let t(w) = 37*w + 5. Is t(2) a composite number?
False
Suppose -4*k = 4*n - 584, 5*n - n + 12 = 0. Is k a prime number?
True
Suppose -w = -0*w. Let h be w*(1 - 2 - 0). Suppose -4*c - 48 = -4*p - h, -3*p - 2*c + 51 = 0. Is p a composite number?
True
Let n(a) = -a**2 - 11*a + 11. Is n(-8) prime?
False
Suppose -5*n + 126 + 4 = 0. Suppose -4*k = 4*r - 44, -5*r + n = k - 5. Is 112/k + 3/9 prime?
True
Let w(a) be the second derivative of -a**6/120 + 2*a**5/15 - a**4/12 - a**3/6 + a**2 - a. Let g(x) be the first derivative of w(x). Is g(4) composite?
True
Let m = 75 + -118. Let w = -36 + 12. Let q = w - m. Is q composite?
False
Let r be 1/(-1 + (-18)/(-15)). Suppose 1 = -2*t - r. Is 15 - ((-3)/t - 1) a composite number?
True
Let n = -4 - -7. Let z(x) = -x - x - n*x. Is z(-5) a composite number?
True
Suppose 2*t + 9 = f - t, 4*f + 4*t = -12. Suppose 3*l = -5*i + 366, -i + 5*l = -f*i - 90. Suppose 2*q + q = i. Is q a prime number?
False
Let a = 3314 + -2343. Is a a composite number?
False
Let l = 0 + 1. Suppose r - l = 5. Is r composite?
True
Let t be (-15)/(-2)*36/15. Suppose 4*i + 5*y = -0*i + t, -3*i = -3*y - 27. Is i composite?
False
Let n = -6 - 0. Suppose -b + 10 = -0. Let f = n + b. Is f a composite number?
True
Suppose -12*n + 22057 = -5*n. Is n a composite number?
True
Let l be (291/4)/((-2)/(-8)). Suppose -j = -m - 2 - 77, 4*j = -m + l. Suppose 14 - j = -4*v. Is v a composite number?
True
Let y(t) = t**2 - 8*t - 3. Let h be 56/6 + (-1)/3. Let c be y(h). Is 110/c + (-4)/(-6) a composite number?
False
Suppose 42 = 3*b - 0. Is -37*1*b/(-2) composite?
True
Let k be ((-1)/2)/(2/(-1196)). Suppose -152 = -5*b + 4*g + k, 454 = 5*b - g. Is b a prime number?
False
Let t = 689 - -584. Is t a prime number?
False
Is 2770/8 + (-12)/(-16) composite?
False
Is (2 + -5)*1/(-6)*3386 prime?
True
Let o be (-5*1 - 1) + 0. Let j = -2 - o. Suppose -5*y - 4*i + 31 = -4*y, -2*y = j*i - 66. Is y a composite number?
True
Suppose 0 = 4*l - 3*t + 85, l + 31 = -4*t - 14. Let b = 38 + l. Suppose 0*p + p = b. Is p prime?
True
Suppose -5*y - 4*c + 20 = 0, 3*y - 2*y = -5*c + 4. Suppose 7*f + 241 = 4*z + 2*f, -234 = -y*z - 2*f. Is z prime?
True
Let w be ((-1)/2)/((-1)/12). Let m(g) = g**3 - 7*g**2 + 9*g - 3. Is m(w) prime?
False
Let m be 4/(-6) + (-3766)/21. Let t = -83 - m. Is t composite?
False
Suppose 0 = 4*d - d. Suppose d = 3*c - 12. Is 50/c - (-2)/4 prime?
True
Let u(o) = o**2 - 14*o + 5. Let p(m) = -m**2 + 15*m - 4. Let x(g) = -4*p(g) - 5*u(g). Suppose -3*h + 0*h + 18 = 0. Is x(h) a composite number?
True
Let t(z) = z + 3. Let w(y) = 4*y**3 + 2*y**2 + y. Let m be w(-1). Let a be t(m). Is (a + -226)*7/(-14) prime?
True
Let d = -1228 + 2087. Is d a prime number?
True
L
|
{
"pile_set_name": "DM Mathematics"
}
|
lse
Is 84 a factor of 760777?
False
Is 195224 a multiple of 12?
False
Is 5 a factor of 1500170?
True
Is 201852 a multiple of 18?
True
Does 89 divide 95230?
True
Is 595869 a multiple of 30?
False
Does 84 divide 56666?
False
Is 3255401 a multiple of 19?
False
Is 8357053 a multiple of 120?
False
Is 7 a factor of 301494?
False
Is 42 a factor of 456036?
True
Is 6406876 a multiple of 38?
True
Is 24 a factor of 1285550?
False
Is 1385991 a multiple of 81?
True
Does 51 divide 145336?
False
Does 51 divide 19972?
False
Is 17 a factor of 45400336?
True
Does 16 divide 34595930?
False
Does 14 divide 314202?
True
Is 2662240 a multiple of 160?
True
Is 3121827 a multiple of 103?
True
Does 18 divide 355472?
False
Is 45 a factor of 4234500?
True
Is 4896078 a multiple of 682?
True
Is 4 a factor of 12801?
False
Is 2282489 a multiple of 11?
True
Is 20 a factor of 14843?
False
Is 74 a factor of 317222?
False
Is 576065 a multiple of 109?
True
Is 526217 a multiple of 23?
True
Is 140 a factor of 1787940?
True
Is 8 a factor of 81495?
False
Is 61 a factor of 307135?
True
Is 214645 a multiple of 99?
False
Is 1366 a factor of 13259762?
True
Is 3 a factor of 969609?
True
Does 542 divide 4900296?
False
Does 3 divide 3902618?
False
Is 282471 a multiple of 23?
False
Does 50 divide 107800?
True
Is 9 a factor of 164611?
False
Is 6 a factor of 132088?
False
Does 7 divide 1475316?
False
Is 77854 a multiple of 16?
False
Is 63231 a multiple of 541?
False
Does 389 divide 608858?
False
Is 89 a factor of 130051?
False
Is 7067368 a multiple of 121?
True
Is 231488 a multiple of 88?
False
Does 9 divide 31940?
False
Does 22 divide 3259036?
True
Does 45 divide 129510?
True
Does 8 divide 326965?
False
Does 958 divide 1946656?
True
Is 1229473 a multiple of 16?
False
Does 235 divide 1285340?
False
Does 189 divide 1922886?
True
Is 692230 a multiple of 30?
False
Is 10 a factor of 1064180?
True
Is 3647012 a multiple of 20?
False
Does 68 divide 3378784?
True
Is 71708 a multiple of 91?
True
Is 2488608 a multiple of 6?
True
Is 81 a factor of 77681?
False
Is 1397305 a multiple of 581?
True
Is 4739769 a multiple of 124?
False
Does 5 divide 28652?
False
Is 11 a factor of 54120?
True
Is 15269969 a multiple of 51?
False
Does 181 divide 661374?
True
Does 5 divide 2298214?
False
Is 43 a factor of 1913944?
False
Does 7 divide 395388?
True
Is 40400 a multiple of 91?
False
Does 15 divide 23535?
True
Does 3 divide 20649?
True
Does 8 divide 483679?
False
Is 93 a factor of 344193?
True
Is 227164 a multiple of 89?
False
Is 4379863 a multiple of 75?
False
Does 29 divide 28101?
True
Does 14 divide 3239950?
True
Is 1233720 a multiple of 30?
True
Is 73 a factor of 181113?
True
Does 179 divide 2898547?
True
Is 2 a factor of 7186?
True
Is 226 a factor of 3089646?
True
Is 278 a factor of 1356764?
False
Is 2987292 a multiple of 77?
True
Is 357480 a multiple of 149?
False
Does 5 divide 80100?
True
Is 98699 a multiple of 232?
False
Does 88 divide 188043?
False
Is 34 a factor of 4386?
True
Does 278 divide 1216250?
True
Is 605640 a multiple of 588?
True
Is 737 a factor of 8374992?
False
Is 6643553 a multiple of 14?
False
Does 73 divide 94483?
False
Is 23 a factor of 310293?
True
Is 18 a factor of 32828?
False
Does 7 divide 11829?
False
Is 51793 a multiple of 179?
False
Does 5 divide 575175?
True
Is 129 a factor of 35088?
True
Is 563703 a multiple of 60?
False
Is 13512 a multiple of 26?
False
Does 511 divide 2927473?
False
Is 6 a factor of 2155582?
False
Is 57 a factor of 209133?
True
Is 12 a factor of 94956?
True
Does 41 divide 1305235?
True
Is 441672 a multiple of 88?
True
Is 29 a factor of 131329?
False
Is 5692992 a multiple of 298?
True
Is 430 a factor of 397750?
True
Does 91 divide 463409?
False
Is 27485 a multiple of 31?
False
Is 124754 a multiple of 24?
False
Does 372 divide 5164848?
True
Is 2491170 a multiple of 608?
False
Is 3 a factor of 31424?
False
Is 5666088 a multiple of 2043?
False
Does 6 divide 24607?
False
Is 5 a factor of 4506651?
False
Is 4413 a multiple of 3?
True
Is 154814 a multiple of 37?
False
Is 5638656 a multiple of 19?
False
Does 90 divide 7554040?
False
Is 17 a factor of 483140?
True
Is 565 a factor of 2209715?
True
Is 2186610 a multiple of 345?
True
Is 2157 even?
False
Does 23 divide 30820?
True
Is 1813757 a multiple of 897?
False
Does 925 divide 906500?
True
Is 473 a factor of 2180258?
False
Is 532052 a multiple of 134?
False
Is 7108598 a multiple of 472?
False
Does 5 divide 27739?
False
Is 964523 a multiple of 46?
False
Is 10 a factor of 4126533?
False
Is 12 a factor of 122182?
False
Is 388454 a multiple of 22?
True
Does 157 divide 4543068?
False
Is 845718 a multiple of 6?
True
Does 32 divide 723917?
False
Is 281 a factor of 2033432?
False
Does 23 divide 80592?
True
Is 212660 a multiple of 14?
True
Does 31 divide 20336?
True
Does 280 divide 53554?
False
Is 17 a factor of 55081?
False
Does 133 divide 548774?
False
Does 113 divide 367476?
True
Is 76004 a multiple of 56?
False
Is 3791957 a multiple of 13?
True
Is 253 a factor of 218592?
True
Is 83200 a multiple of 416?
True
Does 12 divide 1992187?
False
Is 7327409 a multiple of 53?
True
Does 41 divide 892816?
True
Does 9 divide 955080?
True
Does 20 divide 246633?
False
Is 10625795 a multiple of 269?
False
Is 405316 a multiple of 214?
True
Is 32 a factor of 601952?
True
Is 16 a factor of 115696?
True
Is 4521739 a multiple of 214?
False
Is 610565 a multiple of 19?
True
Does 195 divide 4944520?
False
Is 14 a factor of 212035?
False
Is 1796 a factor of 23754644?
False
Is 17 a factor of 309111?
True
Does 172 divide 40936?
True
Is 6631259 a multiple of 9?
False
Does 113 divide 5325012?
True
Does 122 divide 3471837?
False
Is 2652436 a multiple of 173?
True
Is 66 a factor of 61587?
False
Is 21 a factor of 9193327?
False
Is 3613 a multiple of 4?
False
Is 858540 a multiple of 13?
False
Does 63 divide 75985?
False
Is 478452 a multiple of 89?
False
Does 48 divide 677227?
False
Is 351 a factor of 41518?
False
Is 31 a factor of 1815761?
False
Is 12 a factor of 906922?
False
Does 130 divide 3802495?
False
Does 1098 divide 5997276?
True
Does 99 divide 687333?
False
Does 11 divide 206203?
False
Is 11 a factor of 262675?
False
Is 31 a factor of 112908?
False
Is 4493525 a multiple of 1649?
True
Does 3 divide 9789?
True
Does 18 divide 133920?
True
Is 39648 a multiple of 3?
True
Is 241736 a multiple of 22?
True
Does 2 divide 5117?
False
Does 11 divide 1790668?
True
Does 19 divide 13281?
True
Is 15 a factor of 53263?
False
Is 204540 a multiple of 7?
True
Is 23 a factor of 129377?
False
Is 2835270 a multiple of 54?
True
Does 9 divide 148725?
True
Does 10 divide 1564228?
False
Is 114966 a multiple of 8?
False
Is 6012 a multiple of 4?
True
Is 1263 a factor of 8648572?
False
Is 982624 a multiple of 16?
True
Does 101 divide 103828?
True
Does 17 divide 4440859?
True
Is 19 a factor of 647023?
False
Does 27 divide 272684?
False
Is 607144 a multiple of 116?
True
Does 224 divide 329728?
True
Does 11 divide 1838468?
False
Is 4023504 a multiple of 18?
True
Is 14 a factor of 1471756?
False
Is 286596 a multiple of 189?
False
Is 12 a factor of 61260?
True
Does 7 divide 55332?
False
Is 16 a factor of 301296?
True
Is 74155 a multiple of 5?
True
Is 360 a factor of 8489459?
False
Is 22919 a multiple of 41?
True
Is 685 a factor of 360995?
True
Is 411804 a multiple of 369?
True
Does 176 divide 3001856?
True
Does 37 divide 231911?
False
Is 15 a factor of 98466?
False
Does 47 divide 170469?
True
Does 96 divide 941527?
False
Does 27 divide 347706?
True
Is 158046 a multiple of 6?
True
Does 125 divide 108912?
False
Does 168 divide 208393?
False
Is 524 a factor of 9348736?
False
Is 5 a factor of 664070?
True
Does 112 divide 176064?
True
Does 215 divide 97395?
True
Is 3 a factor of 4368?
True
Is 246092 a multiple of 42?
False
Is 986020 a multiple of 28?
True
Is 258 a factor of 92585?
False
Is 152394 a multiple of 4?
False
Does 53 divide 6542956?
True
Is 8 a factor of 790464?
True
Is 682236 a multiple of 36?
True
Does 489 divide 200590?
False
Is 2263074 a multiple of 102?
True
Does 3 divide 170334?
True
Does 37 divide 3563971?
False
Is 389620 a multiple of 242?
True
Does 45 divide 544388?
False
Is 106 a factor of 1413628?
False
Is 9 a factor of 1308183?
False
Does 10 divide 326540?
True
Is 34
|
{
"pile_set_name": "DM Mathematics"
}
|
z**2 - 20*z. Let y(x) = -5*f(x) - u(x). Give -2*t(i) + 5*y(i).
-3*i**3 + i**2
Let o(x) = -2*x**3 - 8*x**2 + 56*x. Let i(p) = p**3 + 3*p**2 - 19*p. Give 8*i(g) + 3*o(g).
2*g**3 + 16*g
Let t = 19 + -24. Let h(a) = -a - 2. Let d(n) = -2*n - 5. What is t*h(i) + 2*d(i)?
i
Let s = 8 + -5. Suppose 15 - s = -3*f. Let j(u) = 4*u**3 - 4*u**2 - 2*u. Let p = 13 - 18. Let o(t) = -3*t**3 + 3*t**2 + 2*t. What is f*j(i) + p*o(i)?
-i**3 + i**2 - 2*i
Let a(j) = j**2 - 4*j - 26. Let v be a(-4). Let z(s) = 2*s**3 + 3*s**2. Let l(x) = -3*x**3 - 5*x**2. Give v*l(c) + 10*z(c).
2*c**3
Let m(z) = -1. Let r(h) be the first derivative of -3*h**2/2 - 7*h + 32. Determine 6*m(s) - r(s).
3*s + 1
Let f(j) = 4*j**3 - 3*j**2 + j - 4. Let x(n) = 11*n**3 - 8*n**2 + 3*n - 11. Determine 8*f(c) - 3*x(c).
-c**3 - c + 1
Let y(i) = -i**2. Let w(v) = v**2 - 2. Let f(p) = -p + 8. Let h be f(9). Let z(l) = 7*l + 1. Let m be z(h). Let g be 8/m - (-3)/9. Give g*w(c) - 2*y(c).
c**2 + 2
Suppose 0*a - 2 = 4*f + 2*a, 5*a = -f + 13. Let g(z) = -z**2 + 5*z. Let d(i) = 2*i. Give f*g(k) + 5*d(k).
2*k**2
Let n(h) = -36*h - 20. Let g(y) = -7*y - 4. Let b(r) = -11*g(r) + 2*n(r). Let c(d) = -55*d - 45. Determine 45*b(v) + 4*c(v).
5*v
Let t(m) = -m**3 - 3*m**2 - 2*m - 3. Let f be t(-3). Let j be 1 + (1 - -3) - f. Let u(l) = j*l - 3*l - 1 - l. Let y(p) = p + 1. Determine 2*u(b) + 2*y(b).
-2*b
Suppose 18*s - 22*s = 12. Let u(a) = a + a + a + 0. Let g(w) = 4*w - 1. Calculate s*u(m) + 2*g(m).
-m - 2
Let i(m) = -1. Let p(o) = -o - 39. What is 3*i(h) + p(h)?
-h - 42
Let f(i) = 7*i**3 + 5*i + 5. Let z(m) = -2*m**3 - 4*m + 1633 - 14*m - 22*m**3 - 1651. Determine 18*f(b) + 5*z(b).
6*b**3
Let t(q) = -q**3 + 5. Let z(c) = -2*c**3 + 6. Let p = -23 - -27. Suppose -5*f + p = 2*m - 10, 22 = -2*m + 4*f. Let i be (-4)/3*(0 + -3). Give i*t(l) + m*z(l).
2*l**3 + 2
Let q(o) = -5*o**2 + 2*o + 3. Let p be ((-2)/(-4) - 1)*-6. Suppose p = 2*a - 3. Let j(k) = k**2 - k - 1. Determine a*j(g) + q(g).
-2*g**2 - g
Let z(q) = -2*q - 4. Let g(f) = -f - 5. Determine 4*g(x) - 5*z(x).
6*x
Let d(c) be the third derivative of c**4/4 - c**3/2 - 14*c**2. Let g(l) = 5*l - 2. Calculate 4*d(f) - 5*g(f).
-f - 2
Let z(y) = 13*y + 9. Let r(l) = 3*l + 2. Let w = -6 - -8. Determine w*z(a) - 9*r(a).
-a
Let r(g) = g. Let o(i) = i**3 + 10*i**2 + 11*i + 17. Let c be o(-9). Let u(h) = -6*h - 1. Calculate c*u(k) - 5*r(k).
k + 1
Let q(a) = -2*a**2 + 3*a + 2. Let p(n) be the third derivative of -n**5/60 + n**4/12 + n**3/6 + n**2 - 21*n. What is -4*p(y) + 3*q(y)?
-2*y**2 + y + 2
Let p(l) = -6*l**2 + 2*l + 9. Let h(k) = 13*k**2 - 5*k - 19. Give -2*h(w) - 5*p(w).
4*w**2 - 7
Let d(r) = -9*r**2 + 7*r - 11. Let s(x) = -5*x**2 + 4*x - 6. Give 6*d(a) - 11*s(a).
a**2 - 2*a
Let r(k) = -8*k**2 - 5*k + 5. Let l(h) = 4*h**2 + 3*h - 3. Calculate 5*l(o) + 3*r(o).
-4*o**2
Let z(y) = -22*y + 8. Let j(r) = 7*r - 3. What is 8*j(a) + 3*z(a)?
-10*a
Let p(v) = 48 - 48 + v. Let w(y) = -2*y + 1. Give -4*p(z) - w(z).
-2*z - 1
Let l(g) = 4*g**2 + 9*g + 6. Let t(k) be the third derivative of -k**5/60 - k**4/24 - k**3/6 + 11*k**2. Give l(i) + 6*t(i).
-2*i**2 + 3*i
Let f(m) = 13*m**2 - 2*m - 2. Let q(d) = 220*d**2 - 35*d - 35. Give 70*f(s) - 4*q(s).
30*s**2
Suppose 2*f + 4 = 10. Let s(k) = -13*k + 14*k + 0 + 0. Let d(b) = b**2 - b. Let i(t) = -5*t. Let c(p) = 2*d(p) - i(p). Give f*s(q) - c(q).
-2*q**2
Let p(z) = z**2 - 2*z + 7. Let r(d) = 3*d**2 - 4*d + 14. Give 9*p(j) - 4*r(j).
-3*j**2 - 2*j + 7
Let p(l) = -2*l + 1. Let i(o) = 2*o - 1. Give 4*i(r) + 3*p(r).
2*r - 1
Let y(i) be the third derivative of 2*i**5/15 - 3*i**4/8 - 3*i**3/2 - 52*i**2. Let o(b) = 4*b**2 - 4*b - 4. Give -9*o(d) + 4*y(d).
-4*d**2
Let x(a) = a + 1. Let i(r) = -r**3 - 7*r**2 - 6*r - 3. Let c be i(-6). Let z = c + 6. Let d(n) = 3 + 1 + 0 + z*n. Calculate -d(q) + 2*x(q).
-q - 2
Let i(o) = 8*o**3 - 6*o**2 + 9*o - 1. Let z(g) = 23*g**3 - 17*g**2 + 26*g - 3. Determine -17*i(w) + 6*z(w).
2*w**3 + 3*w - 1
Let o(y) = -y**2 + y - 1. Let p(k) = 12*k**2 - 12*k + 10. Calculate -10*o(u) - p(u).
-2*u**2 + 2*u
Let g(h) = 6*h**3 - 3*h**2 - 3*h + 3. Let a(i) = 18*i**3 - 8*i**2 - 8*i + 8. Give -3*a(s) + 8*g(s).
-6*s**3
Let i(j) = -2*j**3 - 7*j + 7. Let f(p) = -p**3 - 3*p + 3. Let l = 3 - -3. Calculate l*i(g) - 14*f(g).
2*g**3
Let r(l) = -4*l + 3. Let g(a) = -5*a + 4. Let n(x) = x + 1. Let d be n(-3). Determine d*g(s) + 3*r(s).
-2*s + 1
Let c(g) = -4*g. Let m(v) = 5*v - 1. Calculate -4*c(p) - 4*m(p).
-4*p + 4
Let s(h) = -h**3 - h**2 + h + 1. Let d(f) = -2*f**3 - 3*f**2 + 40*f - 1 + 5 - 38*f. What is -d(k) + 4*s(k)?
-2*k**3 - k**2 + 2*k
Let h(p) = -12*p**3 - p + 2. Let q(r) = r**3 - 1. What is -h(x) - 4*q(x)?
8*x**3 + x + 2
Let d(c) = -9*c + 6. Let r(t) = 6*t + 4. Let y(k) = -5*k - 3. Let g(b) = 4*r(b) + 5*y(b). What is -d(j) + 6*g(j)?
3*j
Let b(r) = -r + 4. Let l(q) = 2*q - 11. Let t(o) = -1. Let h(u) = l(u) - 4*t(u). Determine -7*b(p) - 4*h(p).
-p
Let z(s) = s**2 + 1. Let f(j) = -5*j**2 + 4*j**2 - 6*j**2 - 6 - j**2. Determine -f(k) - 10*z(k).
-2*k**2 - 4
Let c = 13 + -47. Let o(w) be the second derivative of -23*w**3/6 + 2*w. Let p(j) = -4*j. Give c*p(h) + 6*o(h).
-2*h
Let m(w) = -w**2 - 1. Let z(i) = i**2 - 91 + 93 - 3*i + 3*i. Let b be 2 - ((-1)/1 + 5). What is b*m(q) - z(q)?
q**2
Let c(o) = -31*o**3 + 6*o**2 + 6*o + 1. Let n(h) = 30*h**3 - 5*h**2 - 5*h - 1. Determine 5*c(p) + 6*n(p).
25*p**3 - 1
Let d(k) = -4*k**2 + 9*k + 9. Let m(b) be the first derivative of 2*b**3/3 - 2*b**2 - 4*b + 1. Let j be (14 - 22)*1/2. Determine j*d(l) - 9*m(l).
-2*l**2
Let l(b) = 2*b**2 - 7*b + 2. Let z(d) = -d**2 - d + 1. Give -l(c) + 6*z(c).
-8*c**2 + c + 4
Let k(s) = 6*s**3 + s**2 + 3*s. Let i(a) = 7*a + a + 769*a**3 - 752*a**3 + 3*a**2. Calculate -3*i(d) + 8*k(d).
-3*d**3 - d**2
Suppose 2*z = -0*z + 4. Let k(d) = -5*d**2 - 10*d + 16. Let n(x) = 5 - x**2 - 2*x + 5 - 7. What is z*k(c) - 11*n(c)?
c**2 + 2*c - 1
Let l(z) = -z**2 + z. Let c(v) = -25*v**3 - 15*v**2 + 15*v. What is c(h) - 15*l(h)?
-25*h**3
Let y(p) = -4*p - 4. Let w(b) = 3*b + 3. Let t be 0 - 1/((-1)/3). Give t*w(c) + 2*y(c).
c + 1
Let f(n) = -10*n - 10. Let b(x) = x + 1. Calculate 24*b(k) + 3*f(k).
-6*k - 6
Let d(k) = -6*k**3 + 8*k + 3. Let o(n) = 4*n - 16. Let b be o(5). Let c(m) = 5*m**3 - 7*m - 2. Calculate b*d(j) + 5*c(j).
j**3 - 3*j + 2
Let s(r) = 2*r. Let q(g) = 4*g**2 + 3*g + 3. Let i be q(-2). Let b = i + -8. Let u(z) = -3*z + b*z - 4*z. Give 4*s(h) + 3*u(h).
2*h
Let x(g) = g - 5. Let y(c) be the second derivative of c**3/3 - 11*c**2/2 + 12*c. Give -9*x(a) + 4*y(a).
-a + 1
Let g(h) = 5*h**2 + h + 2. Let t(u) be the first derivative of 3*u**3 + u**2 + 4*u - 18. What is 7*g(s) - 4*t(s)?
-s**2 - s - 2
Let p(x) = -5*x**3 + 3*x**2 - 9*x + 2. Let h(l) = l**3 - l**2 - l + 1. Let d(s) = -2*h(s) + p(s). Let w(g) = 4*g**3 - 3*g**2 + 4*g. Determine -3*d(q) - 5*w(q).
q**3 + q
Let g be 6/(-9)*3*-3. Let o(l) = -6*l + 1 - l + g*l. Let t(d) = -5*d + 3. What is 4*o(h) - t(h)?
h + 1
Let w(u) = -u**3 - 3*u**2 + 3*u. Let h(d) = 7*d - 7*d**2 - 2*d**3 - 17 + 17. Determine 3*h(v) - 7*w(v).
v**3
Let g(c) = 8*c**2 + 2. Let l(k) = -15*k**2 - 5. Calculate 5*g(d) + 2*l(d).
10*d**2
Let v(i) be the first derivative of 9*i**4/4 - 2*i**2 + 11*i + 1. Let k(o) = o - 1. Let b be k(-2). Let t(n) = 4*n**3 - 2*n + 5. Calculate b*v(r) + 7*t(r).
r**3 - 2*r + 2
Let t(h) = -7*h**3 + 3*h**2 + 31*h. Let v(g) = -4*g**3 + 2*g**2 + 16*g. Calculate 3*t(d) - 5*v(d).
-d**3 - d**2 + 13*d
Let y(u) = -7*u + 6. Let f(j) = -20*j + 17. Give -3*f(x) + 8*y(x).
4*x - 3
Let x(p) be the third derivative of -p**4/12 + 5*p**3/6 - 35*p**2 - 2*p. Let b(o) = o - 7. Let j be b(6). Let t = j + 0. Let k(h) = -1. Give t*x(u) - 6*k(u).
2*u + 1
Let t(b) = -6*b**3 + 26*b**2 - b + 2. Let r(p) = 5*p**3 - 26*p**2 + p - 2. Calculate -5*r(a) - 4*t(a).
-a**3 + 26*a**2 - a + 2
Let v(o) = -7*o + 3. Let k(y) = -1. What is -2*k(h) - v(h)?
7*h - 1
Let i(t) = t + 0*t - 2*t. Let f(a) = 5*a - 3*a - 2 - 8*a + 2*a. Give -f(m) + 5*i(m).
-m + 2
Suppose 9*h + 42 = 2*h. Let r be 1 - (5 - -1)*1. Let o(a) = -7*a + 2. Let c(n) = 6*n - 2. What is h*c(y) + r*o(y)?
-y + 2
Let a(j) = -5*j - 4. Let o(q) = -14*q - 11. Determine 17*a(u) - 6*o(u).
-u - 2
Let d(y) = 41*y**2 + 9*y. Let t(u) = 21*u**2 + 4*u. Calculate 4*d(v) - 9*t(v).
-25*v**2
Let g(o) = 9*o**2 + 5*o + 5. Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
c**2 - 5*c + 5. Let o be g(-5). Suppose -o*f = -4*n + 40, f - 24 = 4*f + n. Put f, 2, 4, 0 in decreasing order.
4, 2, 0, f
Let p = -9541 + 9546. Let t be 16/10 + 2/5. Put p, -60, t in increasing order.
-60, t, p
Suppose 4*h - 3*y - 13 = -8, h + 5 = 2*y. Sort 4, 7, h.
4, h, 7
Let n = 2/1521 + -1016/1521. Sort n, -5/6, 1.
-5/6, n, 1
Suppose 4*m - 4*p = 20, 3*m + 2*m - 3*p - 19 = 0. Suppose 4*w - 6 = 2*w. Suppose 4*c - m*g - g = -4, w*c = g + 2. Put 1, c, -3 in decreasing order.
c, 1, -3
Suppose 0 = 5*x - 10, -o = -4*o + 2*x - 16. Let g(t) = t**2 - 2*t - 8. Let q be g(4). Sort -3, q, o.
o, -3, q
Let b = 4/79 + 138/395. Let r = 123 + -318. Let w = r + 1363/7. Put b, w, 3 in increasing order.
w, b, 3
Let u = 38/9 - 179/36. Let i = 0.036 - -0.264. Put i, u, 0.4, -4/5 in decreasing order.
0.4, i, u, -4/5
Let f = -1.15 - -1.45. Put f, 3, 1/5, 18 in decreasing order.
18, 3, f, 1/5
Suppose -27*y + 428 = 320. Put -37, 2, y in increasing order.
-37, 2, y
Let z = 6.5 - 6.2. Put 1/5, z, 1/11, -68 in descending order.
z, 1/5, 1/11, -68
Suppose 63 - 231 = -4*c. Suppose 44*z - c*z = 2. Let n = 3 + 2. Put n, 0, z in descending order.
n, z, 0
Let h = 1.9 + -10.9. Let s = 4 + h. Let f = -159 + 637/4. Put 5, f, s in descending order.
5, f, s
Let v be -2 + (-6)/(-5) + (-198)/15. Put v, -3, 0.4, 1/4 in ascending order.
v, -3, 1/4, 0.4
Let l = -1/4 + 23/28. Let y = 1 + -1. Sort l, 1, y in decreasing order.
1, l, y
Let j be 6/4 - (-2)/4. Let y(x) = x**3 + 6*x**2 + 4*x - 5. Let w be -1*(-1)/(-3) + (-84)/18. Let q be y(w). Sort q, j, -4.
-4, q, j
Suppose 0 = 5*g - 16 - 4. Let f(p) = 9*p + 371. Let t be f(-41). Sort t, 0.02, g in decreasing order.
g, t, 0.02
Let n be 12/20 - (-36)/15. Suppose -8*p = -6*p - 4. Suppose 0 = -p*d + 4*d - 4*v + 10, -2*v = 0. Put d, n, -1 in ascending order.
d, -1, n
Let s be 2/(-3)*(4 - 1). Let m be (-15)/5*s/9. Let x = -2.63 - 0.37. Put m, x, -1/3 in decreasing order.
m, -1/3, x
Let s = 77 + -849/11. Sort 19/2, s, 0.4, -2/3 in decreasing order.
19/2, 0.4, s, -2/3
Let d be (-177)/(-57)*(-302)/2. Let c = d - -469. Let r(u) = -u - 9. Let v be r(-5). Sort -3, v, c in increasing order.
v, -3, c
Let x = -30 + 34. Let t = 16 - 16.9. Sort x, 0.3, t in decreasing order.
x, 0.3, t
Suppose 5*c = -b + 8, -4*b - 4*c = -15 - 1. Let k(y) = 5*y - 3. Let g be k(b). Suppose -4*i + 2*i = -3*a + g, -5*i + 8 = 2*a. Put -1, a, 5 in increasing order.
-1, a, 5
Let g = 2 - 20. Let c be (2/g)/(1/(-6)). Let f be ((-2)/66)/((-4)/24). Sort -2/3, c, f in increasing order.
-2/3, f, c
Let x be ((-7)/4)/((-6)/(-48)). Let y = 14 + x. Let n(z) = -3*z - 22. Let q be n(-9). Put q, y, -20 in decreasing order.
q, y, -20
Let c = 1923 - 1922. Sort c, -6, 9 in decreasing order.
9, c, -6
Let s(i) = 2*i**2 - 27*i + 16. Let g be s(13). Sort 9, g, -3 in descending order.
9, g, -3
Let b = -997 - -992. Sort 42, 5, b, -4.
b, -4, 5, 42
Suppose 0 = -u + 8 + 13. Sort -6, u, -1 in descending order.
u, -1, -6
Let w be (-2)/(-36)*(-13 - -15). Put w, 5, 1 in decreasing order.
5, 1, w
Let k be 6/(-198)*-11*(-15)/(-2). Sort -278, 3, k.
-278, k, 3
Let g(r) = -2*r**2 - 6*r + 3. Let b be g(-3). Suppose -4 = -4*z + 2*j, -b*z + j = -2*j. Put 0, z, -5 in descending order.
z, 0, -5
Let w(h) = -92*h - 292. Let y be w(-3). Sort 1, -2, y.
y, -2, 1
Let m = -3 + 0. Let b = 36 - 57. Let h = 20 + b. Put m, h, 6 in increasing order.
m, h, 6
Suppose 547*c = 565*c. Suppose -4*i + 9*i + 30 = 0. Sort 5, c, i in ascending order.
i, c, 5
Let n be ((-4)/(-3))/((-12)/(-162)). Let j be (4 + -4)/((-1 - -2)*1). Put j, -1, n in decreasing order.
n, j, -1
Suppose 5*g + 0*b - 22 = -2*b, 26 = 5*g + b. Suppose -4 = 2*z - g. Let x be (2 + z)/(-1 + 0). Put x, 1, -2 in ascending order.
x, -2, 1
Let i = -3.9 - -4.3. Let a = 14 + -9. Put -3, i, -2, a in decreasing order.
a, i, -2, -3
Let y = -691 - -695. Sort -1, y, -0.36 in descending order.
y, -0.36, -1
Let g = -4.821 - 0.139. Let x = 5 + g. Let r = x + -0.54. Sort 1/6, 5, r in descending order.
5, 1/6, r
Suppose -5*u - 3*c - 583 = 0, 5*u + 5*c + 579 = c. Let o be (8/(-14))/(17/u). Put o, -0.2, -3, 2 in decreasing order.
o, 2, -0.2, -3
Let j = -3.5 - -25.5. Sort -6/11, 4, j.
-6/11, 4, j
Let w be (-9)/(-12) + (-90)/(-8). Suppose -w*c + 9*c = 3. Sort 0, 18, 3, c in decreasing order.
18, 3, 0, c
Let a be (-3)/(-12) + 32091/(-76). Put 1, -1, a in ascending order.
a, -1, 1
Let k = 8 + 29. Sort -5, k, -0.1, 5 in decreasing order.
k, 5, -0.1, -5
Let y be 4 - (-9 + (-12)/4 + -1). Suppose -y*d = -13*d - 8. Put d, -3, -7 in ascending order.
-7, -3, d
Suppose 5*b + 7*b = 1056. Let x be (-30)/(-165) + (-38)/b. Put x, 0.3, -0.04 in decreasing order.
0.3, -0.04, x
Let m be (-531)/63 + (-3)/(-7). Let i = -16 - m. Let t = i - -7. Sort 3, t, -2 in descending order.
3, t, -2
Let g(s) = 5*s**2 - 10*s. Let f(x) = x**2. Let v(a) = -6*f(a) + g(a). Let c be v(-10). Suppose 5*b = 2*r - 19, -r + 2 = -4*b + 3*b. Sort -2, c, b.
b, -2, c
Suppose 14*i - 27*i = -65. Suppose 6*h = -4*z + h - 7, -i = z - 2*h. Sort 5, 3, z in increasing order.
z, 3, 5
Suppose 0 = -4*z + 9*z - 5. Let d be (-230)/(-69) - 2*z. Sort -1.2, d, 0.5.
-1.2, 0.5, d
Let r = -1.7 + 6.7. Let j = -5.5 + r. Let b = 1494/7 - 213. Sort -1, b, j in ascending order.
-1, j, b
Let l(w) = -w**3 + 19*w**2 + 19*w + 25. Let y = 34 + -14. Let h be l(y). Suppose f + 14 = 3*f. Put f, h, 2 in descending order.
f, h, 2
Let v = 12 - 7. Let j = v - 4. Suppose 0 = -3*a + f + 4*f, 0 = 5*f. Put j, a, 2 in ascending order.
a, j, 2
Let j(d) = 10*d**2 + 49*d - 6. Let l be j(-5). Put l, 0, -29 in decreasing order.
0, l, -29
Let g = 294 - 189.2. Let b = -105 + g. Sort b, -1/2, -1 in descending order.
b, -1/2, -1
Let w = -1632.3 + 1632. Let k be (-92)/(-20) - (-2)/5. Suppose k*a = -10 - 5. Sort a, 0.2, w.
a, w, 0.2
Let q be (-1 - (-6)/10) + (-40)/25. Sort q, 3, 5, -4 in decreasing order.
5, 3, q, -4
Let f = 180 + -186. Sort -3, 4, f.
f, -3, 4
Let f = 0 + 0.2. Let j = 3380/3 - 6757/6. Sort f, j, -2/3 in ascending order.
-2/3, f, j
Suppose -5*x - 5*k + 35 = 0, -8 - 6 = 3*x - 4*k. Let y be (x + -1)*2 - 4. Sort -4, y, 4 in descending order.
4, y, -4
Suppose -5*s + a = -23, 4*s = 19*a - 15*a + 28. Suppose -f + 4*f = -15. Suppose -8 = -4*o, 3*o = -c + 5*o + 1. Put f, c, s in increasing order.
f, s, c
Let v = 0.3 - 0.5. Let b = -0.07 - 1.93. Let p = 4 + b. Sort 0, v, p in descending order.
p, 0, v
Let i be (2 - 0/1)*-2. Let h(z) = 2*z - 11. Let c be h(8). Suppose c*k - 12 + 5 = 2*d, 2*d + 3*k - 17 = 0. Put d, i, -5 in decreasing order.
d, i, -5
Let l be -3 + (-6)/9 + 64/24. Put l, -12, 4 in descending order.
4, l, -12
Let s = 516 - 511. Let y be -3*(-8)/84*7/4. Let p = 2.69 + -2.8. Put p, s, y in decreasing order.
s, y, p
Suppose -34 = -62*o + 28. Sort -4, -2, o, -39 in descending order.
o, -2, -4, -39
Suppose -t + 19 = -5*d, 1 = -0*t + t + d. Let h(y) = -4 - y - t + 2*y**2 - 3*y**2 + 0*y**2. Let u be h(0). Put -5, -3, u in ascending order.
u, -5, -3
Let a = 340 - 339.7. Put -4, a, 1/16 in decreasing order.
a, 1/16, -4
Let u = -370 - -373. Let l be (-10)/(-2) + 1 + -1. Sort l, u, 1 in decreasing order.
l, u, 1
Let h = 1.02 - 1. Let r be ((-24)/28)/(4/(-8)*-39). Let c = r - -242/1365. Sort -1/2, h, c in decreasing order.
c, h, -1/2
Let p = -726 - -727. Put -5, p, 2/147 in increasing order.
-5, 2/147, p
Suppose -9*k - 24 = o - 14*k, k = -3*o - 8. Let x(f) = -f. Let n be x(6). Put -1, n, o in descending order.
-1, o, n
Let s = -0.1 - -0.1. Let a = -3715 + 3716. Put 4, a, s in decreasing order.
4, a, s
Suppose 2*a + 40 = 7*a. Suppose 0 = -6*v + 8*v + a. Let m = -293 + 3811/13. Sort v, m, -2.
v, -2, m
Let r be 6/27 + 16/9. Let q be (4/84)/(r/4). Sort 5, -0.09, q in ascending order.
-0.09, q, 5
Let r = -1.95 + 2.08. Let d = -0.07 + 5.07. Let n = 61 - 57. Put r, n, d in increasing order.
r, n, d
Suppose 2*x + 6*a + 14 = 4*a, -3*x = -a + 5. Put -1, 1, x, 3 in decreasing order.
3, 1, -1, x
Let a = 0.0368 - 83.0368. Sort a, -0.4, 4/3, -5/2 in increasing order.
a, -5/2, -0.4, 4/3
Let f = 157.7 + -158. Sort -5, -2, f, 5 in descending order.
5, f, -2, -5
Let v(n) = n**3 - 3*n**2 - 3*n - 2. Let u be v(4). Suppose m = -u*m + 3. Suppose -103*h + 92*h - 44 = 0. Put h, m, 3 in descending order.
3, m, h
Let u be 17/(-1 - (-3 + (-66)/(-34))). Put u, 5, -1 in increasing order.
-1, 5, u
Let d =
|
{
"pile_set_name": "DM Mathematics"
}
|
1 u when two letters picked without replacement from avevvuueve?
2/15
What is prob of picking 2 y and 1 k when three letters picked without replacement from {k: 1, y: 3, e: 1}?
3/10
What is prob of picking 2 p when two letters picked without replacement from pdpdkppdpbappkcp?
7/30
What is prob of picking 2 e and 1 l when three letters picked without replacement from {x: 2, a: 1, e: 2, l: 1}?
1/20
What is prob of picking 3 i when three letters picked without replacement from {i: 7, u: 5}?
7/44
Four letters picked without replacement from aeeeeaeeeaaaee. What is prob of picking 4 a?
5/1001
Two letters picked without replacement from {q: 1, p: 5, h: 2, z: 7, y: 2, c: 3}. Give prob of picking 1 c and 1 h.
3/95
Three letters picked without replacement from kkgf. What is prob of picking 1 f and 2 k?
1/4
What is prob of picking 4 w when four letters picked without replacement from {r: 1, w: 5, l: 4}?
1/42
Two letters picked without replacement from {x: 10, f: 4}. What is prob of picking 1 f and 1 x?
40/91
Four letters picked without replacement from ulooblo. Give prob of picking 3 u and 1 o.
0
What is prob of picking 3 q when three letters picked without replacement from {q: 4, v: 10}?
1/91
Calculate prob of picking 2 k and 1 p when three letters picked without replacement from {k: 4, p: 15}.
30/323
Three letters picked without replacement from xxxxxxxxxxxxgxxxxxx. Give prob of picking 1 g and 2 x.
3/19
What is prob of picking 1 h and 1 u when two letters picked without replacement from {w: 3, h: 3, v: 1, u: 3, t: 1, d: 2}?
3/26
Two letters picked without replacement from hahhrhhhhbra. Give prob of picking 2 h.
7/22
Three letters picked without replacement from {x: 1, z: 4, d: 2, c: 2, o: 4, v: 1}. What is prob of picking 1 v, 1 x, and 1 d?
1/182
Calculate prob of picking 1 n and 1 h when two letters picked without replacement from {q: 9, u: 1, n: 5, h: 1, r: 2}.
5/153
Three letters picked without replacement from {l: 7, h: 6, o: 1, f: 1}. What is prob of picking 3 f?
0
What is prob of picking 1 p and 1 c when two letters picked without replacement from xcxxpxcxxxxxxxcxxxxx?
3/190
Calculate prob of picking 2 n and 1 d when three letters picked without replacement from {n: 12, d: 1}.
3/13
Three letters picked without replacement from {o: 8, i: 1, e: 8}. Give prob of picking 1 e and 2 o.
28/85
What is prob of picking 2 n when two letters picked without replacement from {n: 7, g: 5}?
7/22
Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {v: 2, o: 2}.
2/3
Calculate prob of picking 1 p and 2 a when three letters picked without replacement from {p: 17, a: 2}.
1/57
What is prob of picking 2 m and 1 p when three letters picked without replacement from {m: 2, t: 1, p: 1}?
1/4
Three letters picked without replacement from {o: 1, l: 2, b: 6, y: 3, a: 2}. What is prob of picking 1 y, 1 l, and 1 b?
9/91
What is prob of picking 2 r and 1 h when three letters picked without replacement from rzzzzhhzhrzzrhrz?
3/70
Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {r: 10, x: 1, a: 5, i: 1}.
5/68
Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, d: 15}.
1/51
What is prob of picking 1 f and 1 r when two letters picked without replacement from {e: 2, r: 1, f: 7}?
7/45
Four letters picked without replacement from {m: 1, z: 1, s: 3, o: 3, h: 2, i: 1}. What is prob of picking 3 h and 1 z?
0
What is prob of picking 1 v and 2 h when three letters picked without replacement from {h: 11, v: 9}?
33/76
Calculate prob of picking 1 e, 1 k, and 1 x when three letters picked without replacement from xbehkch.
1/35
What is prob of picking 1 i, 1 r, and 1 d when three letters picked without replacement from {i: 2, d: 2, r: 1, c: 1, x: 1}?
4/35
What is prob of picking 2 b when two letters picked without replacement from pbppppbbpppbpp?
6/91
Calculate prob of picking 1 q, 1 v, and 1 j when three letters picked without replacement from qqjrjvwt.
1/14
What is prob of picking 2 e when two letters picked without replacement from eeexaxaxxae?
6/55
Two letters picked without replacement from {x: 1, i: 2, t: 7, c: 1, r: 2, d: 1}. Give prob of picking 1 x and 1 d.
1/91
Calculate prob of picking 2 b when two letters picked without replacement from {t: 1, c: 5, b: 2, l: 1}.
1/36
Calculate prob of picking 1 u and 3 v when four letters picked without replacement from {u: 2, z: 1, v: 4, f: 2}.
4/63
Four letters picked without replacement from {h: 2, j: 8, d: 2, o: 1, w: 2, m: 2}. Give prob of picking 1 o, 2 j, and 1 w.
2/85
Three letters picked without replacement from {e: 7, o: 6}. What is prob of picking 2 o and 1 e?
105/286
Two letters picked without replacement from kekwwxwjkwjw. Give prob of picking 2 k.
1/22
Two letters picked without replacement from ebeb. Give prob of picking 2 b.
1/6
Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {b: 2, e: 4, c: 8, a: 1}.
2/105
Two letters picked without replacement from rdgrddgr. What is prob of picking 1 d and 1 g?
3/14
Two letters picked without replacement from {i: 3, a: 2, n: 4, r: 2, z: 3, m: 1}. What is prob of picking 1 a and 1 n?
8/105
What is prob of picking 1 t, 1 z, and 2 r when four letters picked without replacement from {t: 2, w: 1, z: 1, v: 2, g: 1, r: 2}?
1/63
Two letters picked without replacement from {t: 6, s: 1, c: 7, p: 6}. What is prob of picking 2 t?
3/38
What is prob of picking 2 p when two letters picked without replacement from rrpprrrorr?
1/45
Two letters picked without replacement from {c: 5, z: 2}. Give prob of picking 2 z.
1/21
Calculate prob of picking 2 b and 1 j when three letters picked without replacement from {m: 1, b: 5, o: 1, j: 2, l: 7}.
1/28
Three letters picked without replacement from {t: 1, u: 2, b: 1, o: 2, d: 1}. What is prob of picking 1 d and 2 o?
1/35
Four letters picked without replacement from {f: 2, q: 10, b: 1, j: 2, h: 1}. What is prob of picking 2 f, 1 h, and 1 j?
1/910
Calculate prob of picking 1 r, 1 f, and 1 a when three letters picked without replacement from rrrpfrfarfaa.
9/44
Four letters picked without replacement from {p: 2, i: 2, w: 1}. What is prob of picking 2 w, 1 p, and 1 i?
0
What is prob of picking 1 z and 1 l when two letters picked without replacement from {h: 4, v: 1, z: 1, l: 8, x: 3}?
1/17
What is prob of picking 1 j, 1 n, and 1 k when three letters picked without replacement from gknbbjgf?
1/56
Four letters picked without replacement from {h: 4, e: 1, n: 1, t: 4, z: 3, b: 5}. What is prob of picking 1 t and 3 b?
2/153
Four letters picked without replacement from uuuyyyyyyyyyyyyyyyyy. What is prob of picking 4 y?
28/57
Calculate prob of picking 1 q, 1 j, and 1 w when three letters picked without replacement from {w: 7, j: 4, m: 2, q: 5, l: 2}.
7/57
Four letters picked without replacement from {s: 2, f: 5, k: 3, p: 3}. What is prob of picking 1 p and 3 f?
6/143
Two letters picked without replacement from nwstr. What is prob of picking 2 r?
0
Calculate prob of picking 1 s, 1 o, and 2 r when four letters picked without replacement from ssseerresseessos.
2/455
Calculate prob of picking 2 j and 2 p when four letters picked without replacement from {p: 8, j: 3}.
14/55
Four letters picked without replacement from gwggglwggggglgglgg. Give prob of picking 3 g and 1 w.
143/765
Three letters picked without replacement from kkbcbkblilvk. Give prob of picking 1 c, 1 i, and 1 b.
3/220
Calculate prob of picking 1 j, 1 x, and 2 y when four letters picked without replacement from jmxjwyy.
2/35
What is prob of picking 2 a when two letters picked without replacement from {t: 1, k: 5, b: 2, a: 5, g: 3}?
1/12
Calculate prob of picking 1 k and 1 d when two letters picked without replacement from kduk.
1/3
Calculate prob of picking 2 t when two letters picked without replacement from {t: 3, b: 3}.
1/5
Three letters picked without replacement from pywmmmmw. What is prob of picking 1 m, 1 p, and 1 w?
1/7
What is prob of picking 3 n when three letters picked without replacement from nnnnnnnnn?
1
Four letters picked without replacement from esaaeeeqs. What is prob of picking 1 e, 1 q, and 2 s?
2/63
Calculate prob of picking 1 l and 1 m when two letters pick
|
{
"pile_set_name": "DM Mathematics"
}
|
ent from {h: 7, a: 3}. What is prob of picking 2 a and 1 h?
7/40
Two letters picked without replacement from ulloaxoll. Give prob of picking 1 l and 1 o.
2/9
Calculate prob of picking 1 h and 3 c when four letters picked without replacement from cxxcmuhccccaca.
5/143
What is prob of picking 1 f and 1 x when two letters picked without replacement from gefxqtxet?
1/18
Calculate prob of picking 1 p, 1 n, and 1 x when three letters picked without replacement from punuaxxalxxn.
2/55
Four letters picked without replacement from {q: 17, b: 2}. Give prob of picking 4 q.
35/57
What is prob of picking 2 d when two letters picked without replacement from ddd?
1
Calculate prob of picking 1 x, 1 o, and 1 q when three letters picked without replacement from {l: 3, x: 1, y: 5, j: 4, q: 1, o: 1}.
1/455
Two letters picked without replacement from {s: 2, i: 5, c: 2}. Give prob of picking 1 i and 1 c.
5/18
Two letters picked without replacement from qyayyya. Give prob of picking 1 y and 1 q.
4/21
What is prob of picking 1 i, 1 e, and 1 p when three letters picked without replacement from {m: 1, p: 1, i: 1, f: 1, e: 1}?
1/10
Four letters picked without replacement from wvvwww. Give prob of picking 2 v and 2 w.
2/5
What is prob of picking 2 x and 1 v when three letters picked without replacement from {q: 2, x: 2, v: 9, p: 1}?
9/364
Two letters picked without replacement from pekvmhem. What is prob of picking 1 p and 1 e?
1/14
What is prob of picking 4 h when four letters picked without replacement from nhhhhhhhhhhhh?
9/13
Calculate prob of picking 2 w when two letters picked without replacement from {k: 3, w: 15}.
35/51
What is prob of picking 3 v when three letters picked without replacement from vvhh?
0
Two letters picked without replacement from cocvrvocrecirrvvrciv. Give prob of picking 1 o and 1 e.
1/95
Four letters picked without replacement from {l: 1, d: 4, b: 1, i: 7, p: 5, w: 1}. What is prob of picking 2 i, 1 d, and 1 b?
7/323
Calculate prob of picking 3 o when three letters picked without replacement from oooo.
1
Four letters picked without replacement from {c: 10, e: 10}. Give prob of picking 4 e.
14/323
What is prob of picking 1 c and 1 a when two letters picked without replacement from chhaacaccaah?
10/33
Two letters picked without replacement from exigeeeixeixieeagf. Give prob of picking 1 a and 1 i.
4/153
Two letters picked without replacement from ixssbnssi. What is prob of picking 2 i?
1/36
Calculate prob of picking 3 d and 1 g when four letters picked without replacement from gddddddddgdd.
16/33
Calculate prob of picking 1 d and 2 p when three letters picked without replacement from pdpdd.
3/10
Three letters picked without replacement from {u: 3}. What is prob of picking 3 u?
1
Calculate prob of picking 3 f when three letters picked without replacement from {f: 13, o: 5}.
143/408
Four letters picked without replacement from {f: 5, b: 9}. Give prob of picking 2 f and 2 b.
360/1001
Two letters picked without replacement from {i: 3, a: 4, v: 8, w: 2}. What is prob of picking 1 i and 1 a?
3/34
Calculate prob of picking 1 r and 1 l when two letters picked without replacement from lllorirl.
2/7
Three letters picked without replacement from {t: 3, c: 7, p: 3, j: 2, l: 3}. What is prob of picking 1 l and 2 c?
21/272
Calculate prob of picking 1 p and 2 y when three letters picked without replacement from {y: 3, p: 5}.
15/56
Three letters picked without replacement from jjffjccc. What is prob of picking 1 c, 1 f, and 1 j?
9/28
Three letters picked without replacement from rdrrl. Give prob of picking 3 r.
1/10
Four letters picked without replacement from wwwiimmwi. Give prob of picking 2 w, 1 m, and 1 i.
2/7
What is prob of picking 3 r and 1 e when four letters picked without replacement from {e: 14, r: 4}?
14/765
Calculate prob of picking 3 t and 1 o when four letters picked without replacement from {j: 3, o: 2, t: 12}.
22/119
What is prob of picking 1 p, 1 m, and 2 x when four letters picked without replacement from {x: 2, m: 4, i: 8, p: 1}?
4/1365
Calculate prob of picking 1 t, 1 s, and 1 c when three letters picked without replacement from {j: 2, c: 1, a: 3, t: 9, s: 1, e: 3}.
3/323
Two letters picked without replacement from wgrqtdw. What is prob of picking 1 r and 1 q?
1/21
What is prob of picking 2 z when two letters picked without replacement from {o: 2, z: 2, a: 3, h: 1, l: 3, m: 4}?
1/105
Two letters picked without replacement from dsdcctdddddddcdddds. What is prob of picking 1 s and 1 t?
2/171
What is prob of picking 3 k and 1 z when four letters picked without replacement from {k: 4, r: 11, z: 4}?
4/969
What is prob of picking 1 p and 2 f when three letters picked without replacement from ffffpffffppf?
27/55
What is prob of picking 1 c and 1 b when two letters picked without replacement from ccobobbob?
2/9
Calculate prob of picking 1 y and 1 u when two letters picked without replacement from yzugjuuuu.
5/36
Two letters picked without replacement from lxryxxyyxxto. Give prob of picking 1 l and 1 o.
1/66
Calculate prob of picking 1 k and 1 x when two letters picked without replacement from xokfufuffxud.
1/33
Calculate prob of picking 2 k when two letters picked without replacement from wwwkkwkwkkkkwkywyw.
28/153
Two letters picked without replacement from mmmmemmmmmw. Give prob of picking 2 m.
36/55
Four letters picked without replacement from nozznnonnoeenzninw. What is prob of picking 3 z and 1 n?
2/765
Calculate prob of picking 1 m, 1 u, and 1 t when three letters picked without replacement from {w: 3, x: 7, v: 2, u: 2, t: 5, m: 1}.
1/114
What is prob of picking 1 z and 2 n when three letters picked without replacement from znnznnnwzznaznzznzna?
24/95
Three letters picked without replacement from rrmrmrmppmrrpr. What is prob of picking 2 p and 1 m?
3/91
Calculate prob of picking 1 s, 1 g, 1 r, and 1 k when four letters picked without replacement from {q: 3, r: 3, s: 1, d: 1, k: 2, g: 1}.
1/55
Calculate prob of picking 3 e when three letters picked without replacement from eeeeeee.
1
Calculate prob of picking 1 k, 1 o, and 2 a when four letters picked without replacement from {k: 1, a: 2, f: 1, o: 1}.
1/5
What is prob of picking 1 l and 1 h when two letters picked without replacement from hul?
1/3
Two letters picked without replacement from {m: 2, j: 8, c: 5}. Give prob of picking 1 c and 1 m.
2/21
Two letters picked without replacement from {b: 3, y: 5, l: 6, m: 1}. Give prob of picking 2 y.
2/21
Four letters picked without replacement from tktdtddtrr. Give prob of picking 1 t and 3 d.
2/105
Four letters picked without replacement from {b: 4, e: 6, a: 1}. What is prob of picking 2 b and 2 e?
3/11
Two letters picked without replacement from {g: 1, q: 2, r: 1, x: 1, v: 1, y: 1}. Give prob of picking 1 g and 1 r.
1/21
Calculate prob of picking 1 b and 1 d when two letters picked without replacement from dodlbwboa.
1/9
Four letters picked without replacement from {k: 4, a: 1, o: 1, d: 1, n: 3, b: 2}. What is prob of picking 1 d, 1 k, and 2 b?
4/495
Three letters picked without replacement from ndnndnnnnnd. What is prob of picking 2 n and 1 d?
28/55
Four letters picked without replacement from {l: 4, y: 3, m: 7, u: 4}. What is prob of picking 2 l, 1 m, and 1 u?
14/255
Four letters picked without replacement from {k: 5, g: 3, w: 3, y: 5, b: 2}. Give prob of picking 1 k and 3 g.
1/612
Four letters picked without replacement from {x: 4, h: 3, j: 3, m: 1, k: 2, l: 2}. Give prob of picking 1 h, 1 k, and 2 x.
12/455
Three letters picked without replacement from {h: 3, i: 1, u: 2, g: 1, z: 6}. Give prob of picking 1 u, 1 z, and 1 i.
6/143
Four letters picked without replacement from kakkxkaakakykxkykxya. Give prob of picking 1 y, 1 x, and 2 a.
6/323
Three letters picked without replacement from pgvvongxoxpnggpgg. Give prob of picking 1 g and 2 o.
3/340
Three letters picked without replacement from drdrdddrdrrddddddr. Give prob of picking 2 r and 1 d.
15/68
Two letters picked without replacement from {k: 2, u: 1, d: 2, w: 4, b: 1, y: 5}. What is prob of picking 1 y and 1 u?
1/21
Two letters picked without replacement from {n: 5}. What is prob of picking 2 n?
1
Two letters picked without replacement from qqkqfqfqbkbq. Give prob of picking 1 k and 1 q.
|
{
"pile_set_name": "DM Mathematics"
}
|
6)/s - (-1)/(-4)?
8
Let d(v) be the second derivative of -v**3/6 + 5*v**2 - 3*v. Let x(a) = -a**3 + 3*a**2 - 2*a - 1. Let l be x(3). What is the tens digit of d(l)?
1
Let n(z) be the first derivative of -z**2 - 4*z + 1. Let b be n(-4). Suppose -2*l + b = 0, -3*h + 19 = 2*h + 2*l. What is the units digit of h?
3
Suppose -2*s + 6 + 2 = 0, 0 = -2*x + s - 18. Suppose -14 = -2*g - 4*p, -3*p - p + 13 = g. Let u = g - x. What is the units digit of u?
8
Let y(b) = b**2 - 10*b - 7. What is the units digit of y(12)?
7
Let h = 0 - -5. Suppose -4 = -h*t + 6. What is the units digit of t?
2
Let x = -1 + 6. Suppose -2*v - h = -70, -116 = -x*v + v + 4*h. What is the units digit of v?
3
Let p be (1/(-2))/((-1)/14). Suppose r - i = 9, 4*r + i - 4 - p = 0. What is the units digit of r - 1 - (1 + -1)?
3
Let o = -84 - -138. What is the tens digit of o?
5
What is the units digit of 833/21 + (-2)/3?
9
Suppose -p - 50 = -3*p. Let c = -4 + p. Suppose t = -2*t + c. What is the units digit of t?
7
Let n(a) = a - 3. What is the units digit of n(6)?
3
Let n = 7 - 2. Suppose 0 = -5*a + 2*c - 95, -n*c + 5 = a - 3. Let m = -10 - a. What is the units digit of m?
7
Let h(t) = t**3 - t**2. Let b be h(4). Suppose -2*l - 5*x + b = -4*x, 0 = 4*l - 2*x - 80. What is the units digit of l?
2
Suppose 114 = 2*k - 3*q, -4*k + q + q + 220 = 0. What is the tens digit of k?
5
Suppose -3*h + 0*a = -a - 10, 4*a + 19 = 5*h. What is the units digit of h?
3
Let j = -15 + 19. Suppose -3*q - 2*q = j*v - 219, 0 = -v - 4. What is the units digit of q?
7
Let u(j) = j**2 + 5*j + 4. Let v be u(-4). Let d(q) = v*q + 3*q - q. What is the units digit of d(4)?
8
Suppose -8 = -2*q + 3*y + y, q = 4*y + 8. Let r = 6 + q. What is the units digit of r?
6
Let d = -5 - -11. Let z(x) be the third derivative of -x**4/24 + 7*x**3/3 - 5*x**2. What is the units digit of z(d)?
8
Let t(s) = s**3 - 6*s**2 - 6*s + 10. Let j(p) = 2*p - 5. Let r be j(6). What is the units digit of t(r)?
7
Suppose -4*r = s - 35, -70 = -2*s - 6*r + 3*r. Suppose 0 = -4*t - f + s, 3*f - 21 = -2*t + 6*f. Let x = 15 - t. What is the units digit of x?
6
Let m(n) = 4*n**3 - n**2 + n - 5. Suppose 2*w = -2 - 2. Let s(p) = -3*p**3 + 4. Let y(d) = w*m(d) - 3*s(d). What is the tens digit of y(2)?
1
Suppose -94 = -x + 5*s, -5*x + 401 = s - 3*s. What is the tens digit of x?
7
Let h(a) = a**3 + 8*a**2 + a + 10. Let k be h(-8). Suppose -k*n + 4*r = 0, n + 0*r + r - 15 = 0. What is the tens digit of n?
1
Suppose -16*l + 15*l + 85 = 0. What is the tens digit of l?
8
Let y = 193 + -127. What is the units digit of y?
6
Suppose 0 = 3*y - 1 + 4, h + 2*y = -5. Let i = h - -8. What is the units digit of i?
5
Suppose -4*c + 1805 = 569. What is the tens digit of c?
0
Suppose -198 = 4*h - 7*h. What is the units digit of h?
6
Let x(b) = 2*b**3 + b**2 - 1. Let p be x(1). Suppose 28 = p*f + 2*f. What is the units digit of f?
7
What is the units digit of (55 - -1) + 2 - 2?
6
Let a be (3/4)/(5/40). Suppose 11*p - a*p = 0. Let x = p + 15. What is the units digit of x?
5
Suppose x + 3 = -0*x. What is the units digit of ((-1)/x)/(4/12)?
1
Suppose -r - 2*r = -267. What is the tens digit of r?
8
What is the hundreds digit of -6*(-2)/6*61?
1
Suppose -4*s + s = -54. What is the tens digit of s?
1
Let k = -56 + 82. What is the units digit of k?
6
Let s(p) be the first derivative of 1 + p - 1/2*p**2. What is the units digit of s(-5)?
6
Let j = 0 - -2. Suppose 0*y = j*y - 30. Suppose 4*u - 2*q = 28, -2*u + y = -3*u - 5*q. What is the units digit of u?
5
Let r = 16 - 17. What is the units digit of -2*(r + 58/(-4))?
1
Let v be ((-18)/(-3))/3*8. Suppose -4*z - v = -4*w, -3*w + w = 3*z + 2. What is the units digit of w?
2
Let n be -5 + (-2)/(2/3). Let o = n - -14. What is the units digit of o?
6
Suppose 0 = 2*y + 3*y - 250. What is the units digit of y?
0
Suppose 5*j - 28 = 4*g - 188, 0 = -3*g - 3*j + 93. Suppose 3*f = 2*k + 23, 2*f + g = 5*f - 5*k. Suppose -25 = -f*c + 45. What is the units digit of c?
4
Let u(t) = t**2 + 8*t + 6. Let q(a) = 3*a**2 + 17*a + 11. Let y(h) = 2*q(h) - 5*u(h). Let r be y(6). Let x = r - -13. What is the units digit of x?
5
Let b = -1 - -15. What is the units digit of b?
4
Suppose v = -3*v - 28. Let z = v - -10. Suppose 24 = 3*y + c, -6*c = z*y - 2*c - 15. What is the units digit of y?
9
Let a = -13 + 23. Suppose -5*j + a = 5*s, s + 2*j - 2 + 3 = 0. What is the units digit of s?
5
Let w = 1 + 0. Let h be 1 - w/(3/(-12)). Suppose j + 34 = h*o, 4*o - 9 = 4*j + 15. What is the units digit of o?
7
Suppose i = -k + 192, -6*k + i + 972 = -k. What is the units digit of k?
4
Let a(c) = -13*c**3 + c**2 - c + 1. Let w be a(1). Let q = -6 - w. What is the units digit of q?
6
Suppose 3*m = -2*m. Let c be m/(-2)*3/6. Suppose 2*l + 6 = 0, -j - l + 5*l + 20 = c. What is the units digit of j?
8
Suppose 2*w = -w + 21. Suppose -3*y = -w*y + 8. Suppose 0 = -y*j - 3*j + 45. What is the units digit of j?
9
Let o = -7 + 25. What is the units digit of o + 0 - (5 - 2)?
5
Suppose 0 = -2*y + 14 - 6. Suppose 27 = y*n + 3. Suppose 25 = n*u - u. What is the units digit of u?
5
Let j(t) = -t**2 - 10*t - 7. Let h be j(-9). Suppose -6*m = -h*m - 200. What is the units digit of m?
0
What is the hundreds digit of (-1 - (-15)/(-6))*-42?
1
Suppose 0 = -t + 2*t - 3. Suppose -t*u + g + 0*g = -34, 2*u - 34 = -5*g. What is the units digit of u?
2
Let i = 10 - -2. What is the units digit of i?
2
Let g be 0 + 13/2*2. Let v = g - 9. Suppose v = 4*s - 0. What is the units digit of s?
1
Let b(i) = -i**3 - 9*i**2 - 10*i - 5. What is the tens digit of b(-8)?
1
Let j be (2 + 2)*(-19)/4. Let z = -13 - j. What is the units digit of z?
6
Let v(p) = 27*p**2 + 1. Let q be v(-1). Let s(m) = m**3 - 2*m**2 + m. Let z be s(1). Suppose z = x - 4*x - 2*w + q, 10 = 2*w. What is the units digit of x?
6
What is the units digit of ((-84)/(-9))/(1/6)?
6
Suppose 462 + 1154 = 8*c. What is the units digit of c?
2
Let m be -1 - 1*1/(-1). Suppose 5*k + 60 = 4*n, -5*n + m*k = -2*k - 58. What is the tens digit of n?
1
Suppose -3*z + 40 - 16 = 0. What is the units digit of z?
8
Suppose 0 = -2*h - h - 3. Let a = h - -1. Let q = a + 5. What is the units digit of q?
5
Let o = -7 + 5. Let n(x) = -x**3 - 2*x - 2. What is the tens digit of n(o)?
1
Let h(g) = -g**3 + 10*g**2 - 2*g + 6. What is the units digit of h(4)?
4
Suppose -i - 21*y = -18*y - 285, 4*y = 2*i - 540. What is the units digit of i?
6
Let t be (-344)/(-32) + (-2)/(-8). Let r = t + -5. What is the units digit of r?
6
What is the units digit of (-7 - -13)*357/6?
7
Let o(w) = -14*w - 3. What is the tens digit of o(-5)?
6
Suppose z = -z - 8, 0 = 5*o - 5*z - 100. What is the tens digit of o?
1
Suppose 4*f - 416 = 4*y, 5*f + 5*y = -0*f + 560. What is the tens digit of ((-1)/(-2))/(3/f)?
1
Let x(j) = -j**3 + 4*j**2 + 5*j - 5. Let w be x(4). Suppose 5*t + 0*t = w. Suppose -2*h - p - p - 2 = 0, 4*h - t*p = 17. What is the units digit of h?
2
Let p(w) = -w**2 - 7*w - 9. Let j = 13 - 19. Let u be p(j). Let i(a) = a**3 + 4*a**2 + 3*a + 3. What is the units digit of i(u)?
3
Let l = -7 - -49. What is the tens digit of l?
4
Suppose 0 = v - 3 + 1. Let z be v/((-3)/(30/(-4))). Let p = 8 - z. What is the units digit of p?
3
What is the tens digit of (-6)/(-3)*(-63)/(-6)?
2
Let u = 268 + -92. What is the units digit of u?
6
Suppose 3*x = -5*d + 18, -5*x - 9 - 1 = -5*d. What is the units digit of 7 + 1 - (-3 + d)?
8
Let p(v) be the third derivative of -11*v**4/24 + v**3/2 + 4*v**2. What is the units digit of p(-2)?
5
Let t(y) = 2*y**3 - 7*y**2 - 11*y. Let w(v) = -3*v**3 + 15*v**2 + 22*v. Let z(k) = -5*t(k) - 3*w(k). What is the units digit of z(-9)?
8
Suppose t = 3*t - 8. Suppose -5 = -5*q + 5*s, t*q - 13 = -0*q + s. Let k = q + -2. What is the units digit of k?
2
Let j = 10 - 7. Suppose 0 = m + j - 5. What is the units digit of m?
2
Let q(k) = k**3 - 19*k**2 + 38. What is the units digit of q(19)?
8
Let i be ((-9)/(-15))/(1/10). Suppose -123 = 3*d - i*d. What is the tens digit of d?
4
Suppose u = -4*u + 25. Suppose u*h - 34 = 11. What is the units digit of h?
9
What is the tens digit of -1 + 3 + (73 - 0)?
7
Suppose 0 = 3*j - 2*z - 505 + 20, 0 = 5*j + z - 804. What is the hundreds digit of j?
1
Suppose 0 = -0*d + 3*d - 3. Let c(a) = d + a - 2 - 7 + a. What is the units digit of c(7)
|
{
"pile_set_name": "DM Mathematics"
}
|
l(g). Solve -w = n + n for n.
-3
Let k = 83 + -82. Solve -k = 2*d - 3 for d.
1
Let b(v) = 3*v - 37. Let h be b(13). Let j(k) = k - 4. Let r be j(4). Solve h*y + 2*y = r for y.
0
Suppose -4*z - 88 = 4*n, 2*z = -n + 5*n - 38. Let w = z - -35. Let s be (-8)/4 - w/(-2). Solve 35 = -s*i + 10 for i.
-5
Suppose -j = -5*j, 2*j + 4 = 2*o. Solve -3*n + o*n - 2 = 0 for n.
-2
Suppose -4*y + 21 = y - 3*f, y - 2*f = 0. Suppose 5*v + 1 - 21 = r, 3*r = 5*v - 10. Let i be 3/r + 34/10. Solve z - y = i*z for z.
-2
Let v = 94 - 90. Let u = 11 + -5. Solve o - v*o = u for o.
-2
Let n be -4*(-50)/(-20)*2/(-20). Solve -2 = v - n for v.
-1
Let v be (1 - -1) + 12/4. Solve -3*s - 4 = v for s.
-3
Let n(y) = 23*y**3 - 24*y**3 + 5*y - 5 + 6*y - 2*y + 5*y**2. Let o be n(6). Solve 2 = -3*z - o for z.
-5
Let y(s) = -s**2 + 9*s + 2. Let i be y(9). Solve -i*w - 9 + 3 = 0 for w.
-3
Suppose 10 = 2*o + 3*o. Let l = -2 + o. Solve l = -7*a + 2*a + 15 for a.
3
Let n(d) = -d**2 + 2*d - 1. Let f be n(3). Let w be f/((-64)/12)*4. Solve 4 = -w*o - o for o.
-1
Let f(k) be the third derivative of k**6/120 - k**5/15 + k**4/8 + 2*k**3/3 + 3*k**2. Let q be f(3). Solve q*v = -v for v.
0
Let u(g) be the second derivative of -g**4/12 - 7*g**3/6 + 11*g**2/2 - 7*g. Let q be u(-8). Solve 4*s - q = 13 for s.
4
Let t = 62 - 56. Let p = 9 - 6. Solve -t = -p*r + 5*r for r.
-3
Let h be (0 + 2)*3/(-2). Let n = h - -11. Let i = -428 - -432. Solve i = -4*d - n for d.
-3
Suppose 6*s - 12 = 2*s. Let v(k) = -k**3 + k. Let c be v(-1). Solve -s*y - 13 - 2 = c for y.
-5
Let s = -43 - -47. Solve -s*o + 15 = -o for o.
5
Suppose 0 = 4*j - 8. Suppose -k - 4*z + 1 = 2*k, 0 = 3*k + 5*z + 1. Let r be 0 - k - (-13 + 6). Solve -6*y + r = -j*y for y.
1
Let a be ((0/1)/(-2))/(-1). Let d be a*(2 - (-14)/(-6)). Solve 4*k + 3 + 1 = d for k.
-1
Let p(i) = i + 2. Let m be p(-1). Solve 0 = -2*x - m + 3 for x.
1
Let o = -57 - -93. Suppose -3*i - o = -4*i. Solve 5*v = i - 11 for v.
5
Let t(o) = -o - 2. Let s be t(-13). Let k = -9 + s. Solve 0*j + k = j for j.
2
Suppose w - 7 = -3*s, -2*w - w + 13 = 5*s. Suppose -s*k = 3*k. Solve k = 8*r - 3*r for r.
0
Let r be (6 - 2)/(16/12). Let a be ((-7)/(-3))/((-3)/(-9)). Solve r*c - a*c = 0 for c.
0
Let f be (-16)/(-72) + 68/18. Suppose m + f = -c, 5*c - m - 12 = 2*m. Solve c*b + 4*b = -16 for b.
-4
Suppose 4*l - 17*l + 91 = 0. Solve 3 - l = -2*m for m.
2
Let o be 15/(-9)*(-6 + 0). Solve 0*w - 2*w = -o for w.
5
Suppose -4*l + 4 = -4. Solve -2*h - 4 = l for h.
-3
Let j = -10 - -10. Solve -d = -j*d for d.
0
Suppose 2 - 11 = -5*w + 2*g, -9 = 2*w - 5*g. Suppose -4*y + 3*y + 8 = 0. Solve -5*v = -y*v + w for v.
1
Let b = 1 - 1. Suppose 0 = 2*d - 59 - 11. Let j be 60/d - 4/(-14). Solve -j*c = -b*c - 2 for c.
1
Let u = -2 - -3. Suppose 0 = -2*n - u + 13. Solve t + t = n for t.
3
Suppose 7*f = 3*f. Suppose 0*c + c - 3*i = -9, f = 4*c - 3*i. Suppose 8*o - 25 = c*o. Solve -o*z - 3 = -2*z for z.
-1
Suppose -3*s - 2*s + 20 = 0. Suppose -16 = -w - p, -s*w - 4*p + 4 = -5*w. Let t be 0/(2 - 0) - -5. Solve t*x + w = x for x.
-3
Let a(b) = -b**3 + 6*b**2 - 8*b + 7. Let x be a(5). Let y be (-60)/(-16) + (-2)/x. Solve r = -y*r for r.
0
Let f = 12 - 7. Suppose f*w - 168 = -43. Solve -7*g + w = -2*g for g.
5
Let u(d) = d**2 - d - 2. Let g be u(-2). Let h be (-10)/8 - (-200)/32. Solve h*l + 1 = -g for l.
-1
Let a = 37 - 33. Solve -a*f = f for f.
0
Let p(o) = -o**3 + 4*o**2 - o - 3. Let t(i) = 2*i**2 + 11*i - 3. Let b be t(-6). Let v be p(b). Let y(g) = -3*g - 1. Let k be y(-2). Solve -2 = -v*a - k for a.
-1
Suppose 4*w + 16 = 48. Let y = -8 + w. Solve -3*u + y*u - 12 = 0 for u.
-4
Let p(z) be the first derivative of -2*z + 1/2*z**2 - 1. Let i be p(4). Solve 1 + 1 = i*n for n.
1
Let r be 40/14*14/4. Suppose -s = -0 - 28. Suppose -3*u = 4*w - r - s, u = w + 8. Solve 3*f - 1 + u = 0 for f.
-3
Let v be (-63)/(-35) - (-2)/10. Suppose 4*k + 5 = 21. Let l = k - 4. Solve l*n + 6 = -v*n for n.
-3
Let f(t) = -t**3 - 7*t**2 - 7*t - 1. Let u = -15 - -9. Let j be f(u). Solve 0*k = k - j for k.
5
Suppose -10 = -l + 4*v, -2*l - l + 5*v = -16. Solve l*a = -5 - 1 for a.
-3
Let c(r) = -3*r**2 + 4. Let w(q) = 4*q**2 - q - 4. Let f(u) = 6*c(u) + 5*w(u). Let g be f(2). Solve g*y = y for y.
0
Let s be 2/(5 - 3) + 1. Let b(a) = a**3 - a**2 + 1. Let k be b(s). Solve -k*q + 20 = -10*q for q.
-4
Suppose -3*u - 24 = -2*n, -2*n - 2*u + 8 - 4 = 0. Let a be 0 + 1 - (-28)/4. Suppose 2*o + 3*k = 10, n*o - k - a = o. Solve s = -o*s for s.
0
Let c = 29 + -29. Solve c*g + 2*g = -6 for g.
-3
Suppose 3*r + r - 20 = 0. Solve 3*g = r*g + 4 for g.
-2
Suppose -5 = 5*f, 0 = 3*j - 3*f - 0*f - 90. Suppose -5*y = -r + j, -y - y - 26 = -4*r. Solve -r*o = o for o.
0
Let o(y) be the second derivative of -y**4/12 - 5*y**3/6 + y**2 - y. Let a be -9 + (-2)/(-2) - -3. Let g be o(a). Solve 0 = -g*b + 4*b for b.
0
Let x(b) = b - 3. Let k be x(10). Let p = 9 - k. Solve -m = -p*m for m.
0
Suppose -12 + 0 = -3*i. Solve i*q + 2 = -14 for q.
-4
Suppose l - 2 - 2 = 0. Let h = l + -1. Solve 0 = -i - 1 - h for i.
-4
Let s(d) = -d**3 + 11*d**2 + 12*d + 3. Let g be s(12). Solve 5*i - g*i + 2 = 0 for i.
-1
Suppose -4*r = -6*r + 8. Let z = 7 - r. Solve 2 + 7 = z*g for g.
3
Let z(a) = 6*a + 52. Let g be z(-7). Suppose -b + 1 + 3 = 0. Let t(k) = 5*k - 1. Let i be t(2). Solve i*n = b*n - g for n.
-2
Suppose -4*l + 4 = j, -3*l - 6 + 22 = 4*j. Solve 0*z - 3*z - 15 = l for z.
-5
Let q = 11 - 3. Solve -f + q = -5*f for f.
-2
Let r = -7 + 10. Let v = r + 0. Suppose v*a = 4*w - 4 + 1, -w - 4 = 4*a. Solve w = -2*z - z for z.
0
Suppose -4*o + o + 26 = 5*j, 0 = 3*o + 4*j - 22. Solve o*u - 16 = -2*u for u.
4
Suppose -o - 2 = -5. Suppose -o*a = -7 - 2. Solve -a*m = -5*m - 10 for m.
-5
Let z be (-16)/(-14)*(-42)/(-12). Let t be 44/12 + z/(-6). Solve l = -t*l + 4 for l.
1
Suppose 10 = a + 8. Solve 2*v = a - 8 for v.
-3
Let y be (0/(-4))/3 + 4. Solve y*f - 3*f = -1 for f.
-1
Let v(r) = r**2 + r + 2. Let t be v(-1). Let m = -3 - -5. Suppose -m*p + 15 = p. Solve -p = t*s + 3 for s.
-4
Let a be 2*2/(-4) - -4. Suppose q - a*q = -10. Suppose -13 = -3*z - 1. Solve 1 = -q*b + z*b for b.
-1
Suppose -6 = -5*v + 3*j, 5*v + j + 1 = -1. Solve -2*r + 7 + 3 = v for r.
5
Let t(p) = p**3 + 9*p**2 + 8*p + 1. Let r be t(-8). Solve 7*k = 6*k - r for k.
-1
Let a(y) be the first derivative of -y**2/2 + 13*y - 2. Let h be a(10). Let i = 5 - h. Solve -i*z = z for z.
0
Let k be (6/(-9))/(8/(-84)). Solve 3*q = -8 - k for q.
-5
Let w(l) = -6*l**3 + l**2 + 15. Let c(a) = -7*a**3 + a**2 + 15. Let q(i) = -5*c(i) + 6*w(i). Let u be q(0). Solve -5*z + 0*z + u = 0 for z.
3
Let z(h) = h**2 + 2. Suppose -d - 4*y = y + 25, -5*d = y + 5. Let s be z(d). Solve -3 - 5 = s*r for r.
-4
Let u = -15 - -8. Let j = -4 - u. Suppose -3 = m + j*p, 0*m + 2*m - 2*p = 10. Solve -5 = -4*v + m for v.
2
Let l = -3 - -6. Suppose 36 = -4*h + h. Let c be (l - (-7)/(-2))*h. Solve 0 = 3*p - 3 - c for p.
3
Let i = 3 + -1. Suppose 0 = w - 2*w - 3*q + 10, 2*q = 4. Suppose -r = w - 6. Solve r = i*z - 0 for z.
1
Let n(p) = 3*p**3 + p**2 - 1. Let u be n(1). Let r be (4 - (u + 0)) + 3. Suppose 4*v + v - 26 = -r*y, 0 = 3*y + v - 25. Solve -y = z + 2*z for z.
-3
Let z = 11 + -16. Let q(i) = -i**3 - 5*i**2 + i + 7. Let n be q(z). Let u be (-3)/n*10/(-15). Solve 21 - u = -4*j for j.
-5
Let h = -7 - -11. Suppose 0 = 3*k - h - 8. Solve -k*c - 21 = -5 for c.
-4
Suppose -4*t - 12 = -156. Solve t - 11 = 5*q for q.
5
Let n = 14 + -10. Solve 2*g - 6 = n*g for g.
-3
Let k = -15 + 10. Let j = 37 - 22. Let p = j + k. Solve -4*y - y = -p for y.
2
Suppose 5*b = z - 13, -5*z - 3*b - b + 7 = 0. Let q = 7 + 3. Solve z*i + 1 = q for i.
3
Let f = 8 + -4. Let x be (f - 4)/(0 - 1). Solve 2*a + 0*a + 2 = x for a.
-1
Let f = 2 + -2. Let j = 6 + -16. Let a = -7 - j. Solve f*l - 3 = -a*l for l.
1
Let t be 188/(-36) + (-4)/(-18). Let q = t + 3. Let w be -3 - q - (-4)/2. Solve b = 4 + w for b.
5
Suppose -5*m = -1 - 19. Suppose 0 = -m*q + n - 13, -2*n - 3*n - 15 = 0. Let r = -2 - q. Solve 4 = r*i - 6 for i.
5
Let v(n) be the first derivative of -9*n**2/2 + 5*n + 1. Let d(a) = -a**2 - 10*a + 5. Let y(k) = -2*d(k) + 3*v(k). Let z be y(4). Solve z*l = 4*l for l.
0
Let k(v) = v**3 + v. Suppose 4*r = -5*d + 3*r + 1, 3*r + 12 = 0. Let p be k(d). Let x = -4 - -8. Solve 0*h = p*h + x for h.
|
{
"pile_set_name": "DM Mathematics"
}
|
245 - 38).
3
(5/(-10)*-4)/((-82)/(-533))
13
Calculate (-3918)/(-15672) + 3/4*(-43)/(-3).
11
((-12)/(-7))/(2556/(-630) - -4)
-30
Evaluate (-16 - 142/(-10))/(9/(-60)).
12
What is 552/(-42) - -6*52/273?
-12
(36/(-15))/3 + (-59280)/(-26600)
10/7
What is the value of 244/18605*110/(-44)?
-2/61
Calculate 452/270 + (-1400)/525*(-2)/(-72).
8/5
-11 + 15 - ((-12747)/(-3444) - (-1)/4)
2/41
Evaluate 132/(-330) + (-152)/(-330) - (-122)/(-924).
-1/14
(-2)/(28/((-1764)/105) + 0 + 1)
3
What is the value of ((-45)/(-2))/9*36/15?
6
Evaluate (21 - (-12 - -29)) + 80/(-42) + -2.
2/21
Evaluate ((-3)/(-9))/(8/(-336)).
-14
What is the value of 9 + 0/3 - 5502/655?
3/5
What is the value of (-1 - 3)*7/6*(-1)/28?
1/6
Evaluate (18/(-63) - (-20)/(-28))*6/(-138).
1/23
What is the value of ((-12)/(-18))/(270/15 + -7)?
2/33
What is (1 - 2/4) + 13*27/(-117)?
-5/2
What is ((-30)/(-81))/((-142)/4047) + 10?
-5/9
Evaluate 45/(-774)*(-428)/535.
2/43
((12 - 18) + 9)*6
18
-12 + -2 + 670/50
-3/5
Evaluate 70/(-12) + 623/42 + -15 - -6.
0
Calculate 1*-2 - (2/5)/(82/(-1025)).
3
Evaluate (-2001)/1610 - ((-3)/30)/1.
-8/7
What is the value of 5 - (4 + -1) - (42 + -39)?
-1
What is the value of 41/99 - (-4 + 164/(-36) + 9)?
-1/33
Evaluate 40/28 + (-48)/14 - -8.
6
(-252)/273*(-4)/12
4/13
((-10)/(-4))/((50925/(-240))/(-97))
8/7
What is the value of 16/70*406/116?
4/5
Calculate (2/(-55))/(((-117)/(-130))/(-9)).
4/11
Evaluate ((-102)/(-96)*-4)/(5/20).
-17
Evaluate 828/(-115)*-3 - 20.
8/5
3804/(-180) + 10 + 11
-2/15
(14 - 7371/504)*24/(-27)
5/9
What is ((-12)/(-24))/((-553)/140 + 4)?
10
(-2 - 12) + (3 - (-23 + 35))
-23
Calculate 12 - ((-2148)/308 - -19).
-2/77
What is 42/(-3) - 1670/(-120)?
-1/12
Evaluate (-10)/12 + ((-603)/(-132))/(18/4).
2/11
Calculate (1 - -4)/(35/70) - 0.
10
Evaluate (-45)/(-6)*(2626/(-195) - -18).
34
(2 + 72/(-40))/((-5)/10)
-2/5
1 - ((-34)/(-68))/(2/(-4))
2
Calculate 21/((-69)/1196*-26).
14
Evaluate (-1500)/(-45) + (-274)/(-411).
34
What is the value of (116/(-4060))/(-1 + 9/6)?
-2/35
42000/7125 + (-2)/(-19)
6
(-4)/(-28) - -6*(-4)/(-224)
1/4
What is the value of (54/21 + -2)*(6 - (-152)/(-16))?
-2
Evaluate ((4240/75)/8 + -7)/((-3)/(-6)).
2/15
Evaluate 15/10 + 1386/(-748).
-6/17
What is the value of 143/(-13) + (46904/5535 - (-4)/(-54))?
-13/5
What is the value of (-20)/12 + (-62)/6?
-12
Calculate -22*(-17)/374*1/(-7).
-1/7
(((-1440)/100)/(-9))/((-4)/(-15))
6
138 + -137 + 3*12/(-15)
-7/5
What is (-248)/26 - (16036/494 - 32)?
-10
((-13797)/10731)/(1/(-21))
27
Calculate ((-3 + -45)/(-8))/(12 - 9).
2
Calculate (-222)/(-11) + -20 + 196/44 - 5.
-4/11
What is (-1*6)/(130/(-26) + 12)?
-6/7
Evaluate (295/413)/((-10)/(-84)).
6
Calculate (-8)/(-32) - 2736/192.
-14
Evaluate (-2)/12*((-1402)/106 + 13).
2/53
Evaluate 11*(-11)/(-605) + (-7 + 4)/15.
0
(3944/(-88) - -44)*4/(-6)
6/11
Calculate (-8)/((-144)/10) + -1*(-2)/(-6).
2/9
What is the value of ((-74)/259)/(1/(-21)) + (-30)/3?
-4
Evaluate 62 + (-17279)/259 + (-2)/7.
-5
Calculate (-24)/(-40) + 352/30 + 36/54.
13
Evaluate 3/93 - 2380/(-7905).
1/3
Calculate (1 - -2)*(-5)/(2 + -12)*6.
9
(-8)/22 - (-962)/6006*-12
-16/7
Evaluate ((-952)/(-4998))/(590/105).
2/59
Calculate ((-4)/(-8))/((-330)/(-360)).
6/11
Evaluate ((-20)/(2400/(-108)))/(6/5).
3/4
Calculate (-370)/10*(-3 - (-4 + (6 - 4))).
37
What is the value of -4 - (20 + -15 + 13)?
-22
Evaluate ((-75)/120*(-4)/5)/(9/(-2)).
-1/9
Calculate 9/(3 - ((-8)/14 + 3872/896)).
-12
Evaluate 6*3/207 + 5320/(-874).
-6
4 - (-40 + 44 - (-6)/21)
-2/7
What is the value of ((-1094)/138 - (-10)/15) + 1193 + -1186?
-6/23
Calculate 4200/(-7917) - (-24)/52.
-2/29
-4*6*(3 + -4 - 16/(-64))
18
532/385 - (-102)/(-85)
2/11
What is (-45)/300*-16*11/99?
4/15
What is the value of 2705/(-1623)*((-72)/5 - 0)?
24
Calculate (-20)/210*1*(-21)/6.
1/3
What is (-4)/(-54)*-165 + 12?
-2/9
What is (-8)/15*145/(-58)?
4/3
What is the value of ((-28)/(-80))/(259/111)?
3/20
What is 210870/(-8165) + 8/(-46)?
-26
Evaluate ((-1)/7)/(73/(-730))*(-1)/(-15).
2/21
Calculate (-49)/8 - 78/(-52)*(-1)/(-12).
-6
What is the value of 766/(-110) + 203/(-145)*-5?
2/55
Evaluate 318/672 + (-267)/1424.
2/7
Calculate (5/105)/(71/(-426)).
-2/7
What is 112/32*-5*(-12)/270*9?
7
Calculate 12*8/48 - (4 + -8).
6
Evaluate (25 - 959/35)/((-6)/80).
32
Calculate 2445/(-1620)*-8 - 8/108.
12
What is the value of ((-86)/14 + 6)/(3 + (-30)/9)?
3/7
Evaluate ((-3)/(-45))/(((-1)/6)/(29/58)).
-1/5
What is (-182)/2184*(-52)/2?
13/6
What is the value of (0*(-2)/4)/(10 + (29 - 38))?
0
What is 0 - (-8)/1 - 520/70?
4/7
Evaluate ((-35653)/505 - -57)*10/4.
-34
(-7 - (-194)/28) + 26/28
6/7
((-370)/20 - -18)/(-3 - 13/(-4))
-2
(4/15)/((-621)/90 + 7)
8/3
Evaluate (-7)/((-42)/(-4)) + (-25 - -25).
-2/3
Evaluate 41/(-1 - -247) - -1*37/(-150).
-2/25
What is 112/22 + 1 - (-6)/(-10)*10?
1/11
Evaluate (8/10)/(202 + -194 + 236/(-30)).
6
What is the value of 8/((19/(-38))/(-3 - -2))?
16
What is the value of (3/(-252)*18)/(9/(-24))?
4/7
What is the value of (-12)/(-2) - (-5)/5 - 11?
-4
Calculate 2730/195 + (-312)/22.
-2/11
Evaluate 270/(-17) - 9600/(-600).
2/17
Calculate -4 + (126/6 - 9).
8
Evaluate 4/(-6)*47/8554*39.
-1/7
((-70 - -37) + 34)*-7
-7
Evaluate 6/(-18)*(-18)/2 - (-3657)/(-1113).
-2/7
Calculate 2*(27*11/(-66) - -2).
-5
(16/112)/(130/140)
2/13
What is the value of 24/7*221/(-884)?
-6/7
(-7 + (-744)/(-112))/(225/180)
-2/7
(-103)/5 + (-330)/(-550)
-20
Evaluate ((-4)/(-42))/(7 + 336/(-49)).
2/3
-1 + (-2156)/(-84) + -22
8/3
770/539 - 6/(-84)
3/2
What is the value of 1 + -8 - (-3 + 3)?
-7
Evaluate (-12)/(-147)*(-3738)/(-8544).
1/28
Evaluate ((-1)/(-3) - -1)/((-110)/1815).
-22
(12/(-11) - -1)*(-144 - -147)
-3/11
What is (-3306)/(-513) - 6 - ((-158)/252 - -1)?
1/14
Evaluate 169/429*11*3.
13
-4*(-26)/174 + (-316)/474
-2/29
What is (-6)/(-3) - 5*(-116)/(-20)?
-27
Calculate 237/(-39) - (93 + -99).
-1/13
What is -95 - -80 - (-1 - (-9)/(-3))?
-11
Evaluate ((-45)/4)/5 + (110 - 108).
-1/4
What is (-2 + 12 - -9) + -13?
6
What is the value of (5 + -4)/(26/234)?
9
-1*(2/15)/(96/(-432))
3/5
Evaluate 528/(-330)*(45/(-12))/3.
2
What is the value of 2/(-10) - (27 + (-2326)/80)?
15/8
What is ((-3)/(-6))/(7/(-28) + (-6)/(-16))?
4
Calculate ((-1215)/(-1134))/((-5)/(-6)).
9/7
What is the value of (8/(-20) - 74/(-111))/((-4)/(-87))?
29/5
8 + ((-270)/40 - 0/(-2))
5/4
What is the value of (72/40)/((-66)/20)?
-6/11
What is the value of (-50)/(-825)*((-9)/(-5))/3?
2/55
Calculate (-4 - (18 - 16))/(-6).
1
Calculate ((-231)/110)/(24/(-20)).
7/4
Evaluate (148/333)/(2/9).
2
Evaluate (2/6)/(108/243).
3/4
(-8385)/516 + (-17)/(-4)
-12
Evaluate (7 + -3)*189/84.
9
What is the value of (70 - 52)/(-9) - (-2 + -4)?
4
Evaluate (-20)/(-26) - (-60885)/(-3861).
-15
40*1*168/(-672)
-10
(-2432)/(-57)*24/32
32
What is the value of (30/8)/(4/(64/72))?
5/6
What is ((3/15)/((-4)/12))/(3/2)?
-2/5
40/(-28) - -11 - (-9)/42*2
10
Calculate ((-30)/50)/((-1)/(30/3)).
6
What is (1*2)/((6 + 300/(-40))/6)?
-8
What is (11/(-3) + 2)/((-34)/11322*-111)?
-5
Calculate -5*(29391/(-13095) + 5/(-9) + 1).
9
((-5)/3)/(10345/(-37242))
6
What is the value of (25 - (-1816)/(-32)) + 32?
1/4
Evaluate 1*(-44)/8 + (-8)/(-16).
-5
Evaluate (-9 - 276)/(-15) + 0 + -3.
16
Evaluate 10 - -2*548/(-112).
3/14
11 + -11 + (-28)/(-7)
4
(7 + (-192)/28)/(3/483)
23
Evaluate (1344/(-63))/8 + 106/6.
15
Calculate 3*9/((-243)/(-126)).
14
1539/(-135)*10/12
-19/2
What is (48/(-420))/(2/(-14)) - (-86)/(-95)?
-2/19
Evaluate (46/(-21) + (-480)/420)*(-9)/5.
6
What is -117 - -108 - ((-369)/42)/1?
-3/14
What is the value of -17 - 336/(-18) - (1 - (-52)/6)?
-8
Calculate ((-1122)/6545)/((-3)/(-14)).
-4/5
What is (6/(-18)*2)/(4 + 704/(-180))?
-15/2
Calculate (-574)/63 + 3/9 + (-20)/90.
-9
Calculate (48/27)/(5*(-28)/420).
-16/3
Evaluate (-6 + 9)/9 + (-3)/((-90)/380).
13
Evaluate 1428/98 + 18/(-7) - 18/(-2).
21
What is ((-4)/(-34))/1 - 34775/1819 - -7?
-12
(-30 - -2)*(52022/(-1368) - -38)
7/9
What is 1 + -84 + (80 - 35)?
-38
954/342 + (-10)/(-5) - 1*5
-4/19
Evaluate 16 + 7/(-1) - (-80)/(-10).
1
Calculate ((-560)/(-42) - 8)/(12/(-54)).
-24
What is the value of 108*((-198)/(-120) - (-14)/(-10))?
27
2/3*300/360
5/9
Evaluate 3/(-1) - (5121/171 + -33).
1/19
Evaluate ((-2096)/(-15196))/(14/29).
2/7
(-22)/(-1)*(-28 - -35 - 8)
-22
Calculate ((-6)/21)/(1*152/(-133)).
1/4
(-45)/20*(9 - 5)
-9
(-3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
9*m**2 + 136*m*o**4 wrt o?
-27*m**2*o**2 + 544*m*o**3
What is the second derivative of -16*a**5 + 136*a**2 - 1349*a?
-320*a**3 + 272
What is the third derivative of -3*d*w*z**4 - d*w*z**3 - 53*d*w*z**2 - 3*d*w - 27*w*z**4 - 2*w*z**2 - 2 wrt z?
-72*d*w*z - 6*d*w - 648*w*z
Differentiate 2*f**3 + 5751*f + 9734 wrt f.
6*f**2 + 5751
What is the second derivative of 22*o**4 + 34*o**3*w**2 - 60*o*w + 5*w**2 wrt o?
264*o**2 + 204*o*w**2
Find the third derivative of -465*f*i**3 - 89*f*i**2 - f wrt i.
-2790*f
Differentiate 165*m**4 + 28 wrt m.
660*m**3
Find the third derivative of 3*c**2*r**3 + 10073*c**2*r - c*r**2 - 3507*r**4 wrt r.
18*c**2 - 84168*r
What is the derivative of -4*b**2*x + 2687*b**2 + 4*x**4 + 11*x**3 + 2 wrt x?
-4*b**2 + 16*x**3 + 33*x**2
What is the second derivative of -105*h**5 - h**3 - 12*h**2 + 1895*h - 2 wrt h?
-2100*h**3 - 6*h - 24
Find the second derivative of 2*k**4 - 5*k**3*l - 2*k**2 + 2*k*l + 3*l wrt k.
24*k**2 - 30*k*l - 4
Find the second derivative of -215*k**5 - 2*k + 190.
-4300*k**3
Find the third derivative of -2096*m**6 - 38*m**2 + 22*m wrt m.
-251520*m**3
What is the second derivative of -747*m**3 - 33*m + 4 wrt m?
-4482*m
What is the second derivative of -21205*z**5 - 13114*z wrt z?
-424100*z**3
Differentiate 34*d**3*o**3 - 3*d**3*o**2 + 300*d**3 + 2*o with respect to o.
102*d**3*o**2 - 6*d**3*o + 2
Differentiate -646*d*f**2 - 2*d*f - 872*d with respect to f.
-1292*d*f - 2*d
What is the third derivative of -190*p**4 - 6*p**3 - 2179*p**2 wrt p?
-4560*p - 36
Find the first derivative of -5*x**3 + 13*x**2 + 7*x - 1213.
-15*x**2 + 26*x + 7
Find the third derivative of -211*l**3 - l**2 - 179*l.
-1266
What is the second derivative of -6*f**2*z**2 - 7*f**2*z - 5*f*z**2 - 33*f*z + 8*z**2 + 2*z - 2 wrt z?
-12*f**2 - 10*f + 16
What is the second derivative of 3013*o**5 + 68*o + 14?
60260*o**3
Differentiate 2316*z**3 - 1779.
6948*z**2
What is the second derivative of j**3*k - 4*j**2*k*n - 37*j**2*n**2 - 51*j*k*n + j*n + n**2 wrt j?
6*j*k - 8*k*n - 74*n**2
Find the third derivative of 3847*b**3 - 232*b**2 - 34*b.
23082
Find the third derivative of 25*l**5 - 2*l**4 - 15*l**3 + l**2 + 810 wrt l.
1500*l**2 - 48*l - 90
Find the third derivative of 128*a*r**4 - 333*a*r + 32*r**4 + 2*r**2 - 13 wrt r.
3072*a*r + 768*r
What is the derivative of 65*w**4 - 2*w**2 - 4*w*y - 2*w - 13790*y wrt w?
260*w**3 - 4*w - 4*y - 2
What is the first derivative of 844*k*y + 16964*k + 2*y wrt y?
844*k + 2
Find the first derivative of -9*f*g*n**3 + 133*f*g*n**2 - 2*f*n**3 + 2241*f*n**2 + n**3 wrt g.
-9*f*n**3 + 133*f*n**2
Find the second derivative of 4*j*r**3 + j*r**2 - 3*j - 2*r**3 + r + 84 wrt r.
24*j*r + 2*j - 12*r
What is the second derivative of -14265*l**2 + 7696*l wrt l?
-28530
What is the second derivative of -71*d**2 + 327*d wrt d?
-142
Find the third derivative of 186*b**3*f**3 + 3*b**3*f**2 - 3*b*f + 2*f**2 wrt f.
1116*b**3
Find the third derivative of 14*h*p**4 + 2*h*p**3 - 2*h*p**2 + 55*h*p wrt p.
336*h*p + 12*h
Find the third derivative of 2463*a**3 - 6366*a**2 - 2 wrt a.
14778
Find the third derivative of 317*h**5 - 113*h**2 wrt h.
19020*h**2
Find the first derivative of 108*n**3*y + 2*n**3 + 7*y - 79 wrt n.
324*n**2*y + 6*n**2
Find the third derivative of 10074*v**4 + 124*v**2 + 2*v + 3 wrt v.
241776*v
Find the second derivative of 448*r**2 - 104*r.
896
Find the first derivative of 2057*q + 2954.
2057
Differentiate -199*c**2*x - 46*c**2 - 16*c*x - c wrt x.
-199*c**2 - 16*c
Find the second derivative of -468*h**5 + 20*h - 5 wrt h.
-9360*h**3
What is the second derivative of -973*t**4 - 2*t - 566 wrt t?
-11676*t**2
What is the second derivative of 28*j*p**2 - 7*j*p + 94*p wrt p?
56*j
Differentiate -2*g*m**2 + 38*g*m + 21*g + 59*m**2 - 5*m - 2 with respect to g.
-2*m**2 + 38*m + 21
Find the second derivative of 7455*f**2*s**3 + 9*f*s - s**3 + 4*s**2 - 3*s wrt f.
14910*s**3
Find the second derivative of 8836*i**2*n**2 + 214*i**2 - 18*i*n wrt n.
17672*i**2
What is the derivative of 405*b**2*c*x**2 + b**2*x**2 + 7*b**2 + 4*b*x**2 - 5*x wrt c?
405*b**2*x**2
What is the first derivative of 229*a**3 - 2*a - 892?
687*a**2 - 2
What is the third derivative of -1981*h**6*x + 2*h**2 - 144*h*x - h wrt h?
-237720*h**3*x
Find the second derivative of 687*g**2 + 258*g wrt g.
1374
Find the third derivative of -2*c**3*j*q**2 - 8*c**3*j - 4*c**3*q + 3*c**2*j*q**2 + 2*c**2*j + 3*c*q**2 wrt c.
-12*j*q**2 - 48*j - 24*q
What is the second derivative of 119*v**3 - 2*v**2 - 97*v?
714*v - 4
Find the third derivative of -45*g**2*j**3 + 30*g**2*j**2 - g**2*j + g*j**6 + 3*g + 2*j**3 wrt j.
-270*g**2 + 120*g*j**3 + 12
Find the second derivative of 5*a**3*k**2*w - 6*a**3*k**2 - 11*a**3*k*w - 2*a**3*w + 7*a**3 + 13*a*k**2*w wrt k.
10*a**3*w - 12*a**3 + 26*a*w
Differentiate 652*y + 3630 with respect to y.
652
Find the third derivative of 266*b**4*y**2 + 3*b**4*y - 2*b**3 + 29*b**2 + b*y**2 + 2*y**2 + 1 wrt b.
6384*b*y**2 + 72*b*y - 12
What is the derivative of -204*r**4 + 3707?
-816*r**3
Find the third derivative of 38*c*i*p*y**3 + 5*c*p**2*y**2 - 3*c + 2*i*p**2*y**3 - i*p**2*y**2 - 2*i*p*y**3 + y**2 wrt y.
228*c*i*p + 12*i*p**2 - 12*i*p
What is the first derivative of 12*t**2*x - 4842*t**2 + 3*t*x + 10*x wrt x?
12*t**2 + 3*t + 10
Find the third derivative of -q*t**3 - q*t**2 - 233*q*t + 1767*t**4 + 3*t wrt t.
-6*q + 42408*t
Differentiate -24*u**4 - 7*u**3 + 132 with respect to u.
-96*u**3 - 21*u**2
What is the derivative of -x**3*y**2 + 5846*x**3 - 76*x*y - 2*y**3 wrt y?
-2*x**3*y - 76*x - 6*y**2
Find the third derivative of 3107*k**4 + 2565*k**2.
74568*k
What is the third derivative of l**4 + 7*l**3 + 109*l**2 - 2*l?
24*l + 42
Find the third derivative of 21*d**6 + 56*d**2 + 2*d wrt d.
2520*d**3
What is the derivative of -61*c**4*f - c**2 + 8*f - 19 wrt c?
-244*c**3*f - 2*c
What is the third derivative of 196*r**3 + 46*r**2?
1176
Differentiate -5*a**3*m**4 - 9*a**3*m**2 - a**3 + 6 wrt m.
-20*a**3*m**3 - 18*a**3*m
Differentiate 2*g**3*j**2 + 6*g**3 - 332*g**2*j**3 + 256*g + 2*j**2 + 1 with respect to j.
4*g**3*j - 996*g**2*j**2 + 4*j
What is the first derivative of -3*a**4 + 310*a**3 + a + 4635?
-12*a**3 + 930*a**2 + 1
Differentiate 13*r*s**2*z + r*s**2 - r*s - 50*r + 2*z with respect to s.
26*r*s*z + 2*r*s - r
What is the derivative of -1993*g - 3248?
-1993
Find the second derivative of -54*v**5 - 102*v + 2 wrt v.
-1080*v**3
What is the derivative of 65*v - 50?
65
Find the first derivative of -6*q*z**3 - 1257*q*z - 18937*z**3 wrt q.
-6*z**3 - 1257*z
What is the derivative of -24*f**4 + 33*f**3 + 6688?
-96*f**3 + 99*f**2
What is the second derivative of -50*k**2 - 262*k?
-100
Find the second derivative of -2332*k**3 + 315*k.
-13992*k
What is the first derivative of -37*i**3 + 14?
-111*i**2
What is the second derivative of 6786*s**3*w**2 + 31*s**3 + w wrt w?
13572*s**3
What is the first derivative of -1518*x**2 - 2*x - 5718?
-3036*x - 2
What is the first derivative of 300*j**3*k + 2*j**3 - 3*j - 520*k wrt j?
900*j**2*k + 6*j**2 - 3
What is the first derivative of -3478*k + 1930?
-3478
Find the second derivative of -2*a*d*s**2 - 2*a*d*s - 2*a*d + 10*a*s**2 + 7*a*s + 7*d*s**2 + d + 2*s wrt s.
-4*a*d + 20*a + 14*d
Differentiate -141*l**2 + 295 wrt l.
-282*l
What is the third derivative of 11*g**5 + 6*g**4 + 3*g**3 + 4*g**2 + 34*g wrt g?
660*g**2 + 144*g + 18
Differentiate 1309*x - 14543 with respect to x.
1309
Find the second derivative of -123*x**4 - 140*x.
-1476*x**2
What is the third derivative of 119*c**5 + 5*c**4 - 672*c**2?
7140*c**2 + 120*c
What is the first derivative of -2*t**2*u - 140*t**2 + 5*t*u**3 - 1532*u**3 wrt t?
-4*t*u - 280*t + 5*u**3
What is the first derivative of -2*p**4 + 3386*p - 3580 wrt p?
-8*p**3 + 3386
Find the third derivative of 2*x**4 - 1272*x**3 + 3488*x**2.
48*x - 7632
What is the third derivative of -644*j**3*t - 3472*j**2*t + j**2 wrt j?
-3864*t
Find the third derivative of -31*t**5 - 4*t**3 - 13*t**2 - 3*t wrt t.
-1860*t**2 - 24
What is the third derivative of 2*b**6 - 88*b**3 + 115*b**2 - 1 wrt b?
240*b**3 - 528
Find the second derivative of -29*a**4 - a**3 - a + 11 wrt a.
-348*a**2 - 6*a
Find the first derivative of 37*c**4 + 2*c**2*f + c*f + 17*f wrt c.
148*c**3 + 4*c*f + f
What is the second derivative of -2*k**4 + 2*k**3 + 736*k**
|
{
"pile_set_name": "DM Mathematics"
}
|
denominator of 187/3276 and 58/189?
9828
Calculate the common denominator of -79/168 and 55/3087.
24696
Calculate the common denominator of -25/18 and -7/12.
36
What is the common denominator of 49/247 and 47/533?
10127
Find the common denominator of 91/496 and -17/10.
2480
Calculate the smallest common multiple of 424 and 1643.
13144
What is the smallest common multiple of 21 and 15?
105
Calculate the lowest common multiple of 12 and 60.
60
What is the common denominator of -92/231 and -173/756?
8316
Calculate the lowest common multiple of 10 and 615.
1230
Calculate the least common multiple of 186 and 15.
930
What is the common denominator of 59/60 and -13/840?
840
What is the least common multiple of 84 and 84?
84
Find the common denominator of 43/270 and 88/45.
270
What is the smallest common multiple of 88 and 246?
10824
What is the common denominator of 25/4576 and 53/52?
4576
Find the common denominator of 25/139 and 53/6.
834
What is the common denominator of -121/230 and 17/14?
1610
Calculate the smallest common multiple of 121 and 44.
484
Calculate the least common multiple of 140 and 176.
6160
What is the common denominator of 51/10 and 26/3?
30
Calculate the lowest common multiple of 830 and 415.
830
Calculate the least common multiple of 1687 and 2651.
18557
Calculate the smallest common multiple of 1661 and 132.
19932
Calculate the least common multiple of 1 and 513.
513
Calculate the common denominator of -101/552 and -17/736.
2208
Calculate the common denominator of 49/64 and -11/20.
320
Calculate the common denominator of 5/44 and 85/4.
44
Calculate the least common multiple of 15 and 714.
3570
What is the smallest common multiple of 16992 and 30?
84960
Calculate the common denominator of -143/372 and -34/21.
2604
Calculate the smallest common multiple of 260 and 340.
4420
Find the common denominator of 50/2771 and 101/170.
27710
What is the lowest common multiple of 104 and 24?
312
What is the common denominator of 19/414 and 83/20?
4140
What is the smallest common multiple of 9 and 201?
603
What is the common denominator of 41/9 and 71/654?
1962
Find the common denominator of 79/930 and -36/325.
60450
Calculate the smallest common multiple of 32 and 14.
224
Calculate the common denominator of 49/64 and 37/608.
1216
Find the common denominator of -71/88 and 57/4.
88
Calculate the common denominator of 21/116 and 97/8352.
8352
What is the smallest common multiple of 134 and 58?
3886
Calculate the smallest common multiple of 156 and 18.
468
What is the lowest common multiple of 280 and 1000?
7000
Calculate the common denominator of -3/95 and 43/20.
380
What is the lowest common multiple of 56 and 70?
280
Calculate the lowest common multiple of 171 and 11.
1881
Calculate the smallest common multiple of 322 and 6.
966
What is the lowest common multiple of 6 and 51?
102
Calculate the least common multiple of 635 and 25.
3175
Calculate the lowest common multiple of 220 and 12.
660
What is the smallest common multiple of 370 and 1850?
1850
What is the common denominator of 47/2118 and -47?
2118
Find the common denominator of 93/2 and 23/466.
466
What is the lowest common multiple of 13 and 64?
832
Find the common denominator of 55/52 and 13/4.
52
What is the lowest common multiple of 1793 and 1?
1793
Calculate the smallest common multiple of 396 and 90.
1980
Find the common denominator of 27/496 and -11/56.
3472
Find the common denominator of -74/219 and 11/15.
1095
What is the least common multiple of 198 and 220?
1980
Calculate the common denominator of -83/120 and 11/684.
6840
What is the common denominator of 89/8 and -85/76?
152
What is the smallest common multiple of 438 and 36?
2628
What is the common denominator of 73/170 and 3/185?
6290
Calculate the lowest common multiple of 156 and 12.
156
What is the least common multiple of 800 and 320?
1600
What is the lowest common multiple of 29 and 10?
290
Calculate the smallest common multiple of 774 and 12.
1548
Calculate the common denominator of -9/185 and -33/370.
370
Find the common denominator of 32/743 and -67/10.
7430
What is the smallest common multiple of 18 and 162?
162
Calculate the lowest common multiple of 1007 and 212.
4028
What is the least common multiple of 1104 and 92?
1104
What is the least common multiple of 533 and 123?
1599
What is the smallest common multiple of 275 and 11?
275
Calculate the common denominator of -19/322 and -3/56.
1288
What is the lowest common multiple of 548 and 4?
548
What is the least common multiple of 591 and 27?
5319
What is the least common multiple of 45 and 36?
180
Calculate the common denominator of 15 and 19/42.
42
What is the smallest common multiple of 288 and 144?
288
What is the least common multiple of 171 and 12?
684
Find the common denominator of 35 and 37/517.
517
What is the common denominator of -113/50 and -31/920?
4600
What is the smallest common multiple of 16 and 356?
1424
Calculate the common denominator of 8/77 and 57/5.
385
Calculate the common denominator of 8/39 and 46/91.
273
What is the common denominator of -79/45 and 47/1900?
17100
What is the least common multiple of 18 and 2?
18
Find the common denominator of 5/399 and -2/21.
399
What is the common denominator of -29/9 and -10/99?
99
Calculate the common denominator of 23/33 and -89/216.
2376
What is the least common multiple of 976 and 16?
976
What is the common denominator of -79/4890 and -65/6?
4890
Calculate the smallest common multiple of 28 and 63.
252
What is the common denominator of 31/1686 and 71/27?
15174
Calculate the common denominator of -12/7 and -77/1822.
12754
Calculate the common denominator of 33/70 and -17/35.
70
What is the common denominator of 71/5866 and 53/838?
5866
Calculate the lowest common multiple of 2967 and 4.
11868
Find the common denominator of 3/7099 and -8/1603.
49693
Calculate the common denominator of 34/27 and -11/2658.
23922
Find the common denominator of 31/54 and -7/99.
594
Calculate the least common multiple of 12510 and 30.
12510
What is the smallest common multiple of 38 and 12?
228
Find the common denominator of 79/80 and -71/144.
720
What is the least common multiple of 12 and 436?
1308
Calculate the common denominator of 23/294 and 169/42.
294
Calculate the least common multiple of 24 and 1656.
1656
What is the smallest common multiple of 168 and 8?
168
What is the common denominator of 11/94 and 21/1504?
1504
Calculate the least common multiple of 5 and 558.
2790
Calculate the common denominator of 187/90 and 61/270.
270
Calculate the common denominator of -95/16 and -29/66.
528
Calculate the common denominator of 133/24 and 23/4576.
13728
What is the smallest common multiple of 52 and 32?
416
What is the common denominator of 8/3219 and -22/21?
22533
Calculate the lowest common multiple of 24 and 144.
144
Calculate the common denominator of -103/12 and 45/6238.
37428
Calculate the common denominator of -6/6377 and 41/10021.
70147
Calculate the least common multiple of 12 and 30.
60
What is the smallest common multiple of 13988 and 7532?
97916
What is the common denominator of 163/156 and -41/8?
312
Calculate the lowest common multiple of 427 and 2.
854
What is the smallest common multiple of 544 and 544?
544
Calculate the common denominator of -119/10 and -45/1253.
12530
What is the common denominator of -13/300 and -123/10?
300
Calculate the common denominator of -43/328 and 5/6314.
25256
What is the common denominator of 101/1400 and 23/40?
1400
What is the lowest common multiple of 4 and 562?
1124
What is the common denominator of 12/95 and -25/2546?
12730
Calculate the smallest common multiple of 12 and 4068.
4068
Find the common denominator of -19/32 and 31/16.
32
What is the common denominator of -131/558 and -20/117?
7254
Calculate the common denominator of -35/326 and 91/4.
652
Calculate the least common multiple of 40 and 220.
440
Calculate the least common multiple of 15 and 996.
4980
Calculate the common denominator of 19/3275 and -69/524.
13100
Find the common denominator of -113/120 and -57/10.
120
Calculate the lowest common multiple of 10 and 52.
260
What is the least common multiple of 832 and 520?
4160
What is the common denominator of 65/16 and -69/3494?
27952
Calculate the least co
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -v - 4*v + 15 = d. Let r(c) = -c**2 + 8*c + 9. Let m be r(9). Solve v*g - 15 + 3 = m for g.
4
Let z be (172/(-8))/((-2)/4). Let y be 1/(-3) - z/(-3). Let h be (y/(-21))/((-2)/3). Solve 3 = 2*f - h for f.
2
Let z(u) = u**2 - 12*u - 16. Let l be z(14). Solve -g = -4*g + l for g.
4
Suppose -2*l - 1 = -9. Suppose l*b = 3*b. Solve 3*f + 3 + 3 = b for f.
-2
Suppose 3 = 3*i - 15. Suppose -10 = -4*v + i. Solve v = -4*y - 12 for y.
-4
Let s = -3 - -6. Let y(d) be the third derivative of -d**4/24 + 3*d**2. Let p be y(-7). Solve s*r = p*r - 16 for r.
4
Let g = 106 - 101. Solve 0 = g*u - 19 - 1 for u.
4
Let t = 6 - 9. Let u be (-2)/t*3 - 0. Let n be ((-3)/6 - (-3 + 2))*10. Solve -u*d = -n*d + 9 for d.
3
Let y = 13 - 6. Let n(c) = c - 2. Let a be n(2). Let z = a - 0. Solve z = 3*m + y + 2 for m.
-3
Let q(m) be the third derivative of -m**4/4 - m**3/6 - 4*m**2. Let y be q(-1). Let t be -3 + 1 + 2 + 0. Solve t*n + 10 = -y*n for n.
-2
Let h(g) be the first derivative of -g**2/2 - 5*g + 2. Let f be h(-6). Let i be 0*(3 - 2/f). Solve -v - 4*v + 20 = i for v.
4
Let u = -11 + 12. Suppose 0 = -0*r - r + u. Solve -m + r - 2 = 0 for m.
-1
Let q be -2 - (-1)/1 - -13. Solve c - q = 5*c for c.
-3
Let s = 11 + -9. Solve s - 1 = -p for p.
-1
Let z(o) = o**3 + 5*o**2 - 6*o + 8. Let u be z(-6). Let l = -6 + u. Suppose -5*k + 3 = -7. Solve 8 + k = -l*y for y.
-5
Let o(m) = 4*m + 1. Let v be o(2). Let q be (-1)/(-1) + v + -2. Solve -b - 3*b = q for b.
-2
Let m be (-6)/33 - (-70)/22. Suppose -2*s - 5*x - m = 16, 4*s - 3*x - 27 = 0. Suppose -2*g + 18 = 5*c, 5*c - s*g + 0*g - 23 = 0. Solve c*t = 2*t - 10 for t.
-5
Suppose -13 - 7 = -10*l. Let b = 5 + -3. Solve -l*s + b = -s for s.
2
Let y be 10/(-25) - 22/(-5). Solve -i + 5*i = -y for i.
-1
Let p = 77 - 69. Solve 5*c - p = 12 for c.
4
Suppose -2*l + 14 = 5*s, 0 = s + s - 2*l. Let v be 13/3 + (-4)/(-6). Suppose -v*u + 8 = -3*u. Solve -w = -s*w - u for w.
-4
Let b be -1 - (2 + 0 + -5). Suppose 3*p = 4*a + 27, -4*p + a + 10 + 13 = 0. Let f(x) = x**2 + x - 8. Let k be f(-4). Solve k*g = p*g + b for g.
-2
Let l = 5 - 8. Suppose -5*j - 20 = 0, -3*s = -3*j - 0*j - 21. Let g = s + l. Solve -m + 1 = -g for m.
1
Let x be 0*(-4)/(-12 + 4). Suppose 5*o - 50 = -x*l + 5*l, -o = 2*l + 5. Solve 1 = -z + o for z.
4
Suppose -2*s = -6*s. Suppose -2*r = 4*v - 24, -11 = 2*r + 3*v - 6*v. Solve 0 = y + r - s for y.
-2
Suppose 14*o - 15 = 9*o. Solve 0 = o*d - 6*d for d.
0
Let i = 25 - 23. Solve 0 = c - i*c for c.
0
Let v(x) = -x**2 + 4*x + 8. Let h be v(5). Suppose 2*b + 18 = 5*b. Let k = b - h. Solve -7 - 5 = k*i for i.
-4
Let r(o) = -o + 14. Let k be r(13). Let g be 4/(2*k/1). Solve 0 = g*u - 7*u - 5 for u.
-1
Suppose g - 5 = -4*n + 8, 3*n = -4*g + 13. Solve n*r + r = -16 for r.
-4
Let p = 8 - 17. Let y = p - -14. Solve -1 = -2*f + y for f.
3
Let w = -107 - -113. Solve 5*s + w = 2*s for s.
-2
Let j = 5 + -5. Let c be (-1 - 0)/((-1)/7). Suppose 5*b - c = 3. Solve b*d = -j*d for d.
0
Let c(n) be the third derivative of n**5/60 + n**4/8 + n**3/2 + 4*n**2. Let z be c(-3). Solve -z*k = 2*k - 10 for k.
2
Suppose -i = -10 + 8. Solve 5*a = i*a for a.
0
Let a(v) = -v**2 - 11*v - 8. Let t = 77 - 32. Suppose -6*r + r - t = 0. Let j be a(r). Solve -2 = 4*i + j for i.
-3
Let z be (1 + 4)/(10/4). Solve -u - 1 - z = 0 for u.
-3
Suppose 3*n - 6 = 6. Solve -t + n = -0*t for t.
4
Let v = 1 - 1. Suppose v = -2*i - 3*q + 2*q + 32, 2*i - 8 = 5*q. Let d be 94/14 + 4/i. Solve -1 - d = 2*x for x.
-4
Suppose -9 - 9 = -3*i. Solve 2*t + i = 5*t for t.
2
Suppose -5*y - 9 = -114. Let w = y + -12. Solve 4*a - 1 + w = 0 for a.
-2
Let k(f) = f**3 - 3*f**2 - 8*f + 4. Let l(r) = -r**3 + 4*r**2 + 9*r - 4. Let s(w) = 6*k(w) + 5*l(w). Let h be s(-3). Solve 3*a - h + 10 = 0 for a.
-2
Let v = -21 + 25. Solve -v*i = i for i.
0
Let o be (5 + 2)*(0 + 1). Suppose -d + 0*d = o. Let a be 2/d - (-16)/7. Solve -6 = -4*x - a for x.
1
Let o be 5*1 + -1 + -1. Let a(j) = j - 5. Let g be a(10). Solve -i = g - o for i.
-2
Suppose p - 6*p = 0. Let h be 6/8*4 + 15. Suppose 2*a = -5*q + 6, -4*q + h = -a - 4*a. Solve p = -v - q*v for v.
0
Let w be (-20)/(-50) + 18/5. Solve w*z + 15 = -5 for z.
-5
Let z(u) = -u**2 - 8*u - 4. Let x be z(-7). Let a be (1/((-1)/8))/(-1). Solve -x*m = m + a for m.
-2
Let w(d) = -d**2 - d. Let h be w(-1). Suppose h = 2*a - 0 - 10. Solve -2 - 13 = -a*x for x.
3
Suppose -2*m = i, 0 = -5*i + 3*i - 8. Suppose 2*f + 0 = m. Let q = 8 + -6. Solve 0 = q*u + f - 5 for u.
2
Let i(b) = b**3 + 4*b**2 - 4*b + 7. Let a be i(-5). Solve 0 = a*x + x - 6 for x.
2
Let q(v) = -v - 1. Suppose -o - 2*o = 0. Let h(c) = -c - 7. Let b be h(o). Let d be q(b). Solve -3*l + d = -0*l for l.
2
Suppose -6*p = -p. Solve 2*v - 1 + 5 = p for v.
-2
Let h = -8 - -5. Let a = h + -9. Let w be 1/(2/a*-3). Solve w*x = -x - 15 for x.
-5
Suppose 3*p - 28 = -p. Let t = p - 5. Solve -f - 7 + t = 0 for f.
-5
Let m = 28 + -23. Solve -t = -m + 1 for t.
4
Suppose 16 = -p + 17. Solve 3*d = 13 - p for d.
4
Let q(b) = -b - 5*b**2 + 4*b**2 - b**3 + 4*b**2 + 10 + 4*b**2. Let u be q(7). Solve -2*i - u*i = 10 for i.
-2
Let i = 10 + -6. Suppose x = i*x. Solve x*j = -3*j - 9 for j.
-3
Suppose -5*l + 19 = b, -3*l + 10 = 3*b - 11. Solve v - b*v = -6 for v.
2
Let p(t) = t**3 + t**2 - 1. Let o be p(0). Let l be (-19)/(-4) + o/(-4). Suppose 2*a + a = 3*h - 18, h - 26 = l*a. Solve 3 = n + h for n.
2
Suppose 100 = n + 4*n + k, -4*n - 2*k + 80 = 0. Solve -2*o + 7*o = n for o.
4
Let g(d) = -3*d. Let r(h) = -h**3 - 6*h**2 - 3. Let u be r(-6). Let w = -4 - u. Let f be g(w). Solve -2*y + f = 11 for y.
-4
Let v = 5 + -1. Let c be v*-1*(2 - 3). Suppose 0*m + 3*m = c*z - 7, 0 = m + z - 7. Solve -m*p = -p for p.
0
Let l be 70/17 - (-16)/(-136). Solve l*i + i = -5 for i.
-1
Suppose 2*j + 2*u - 4*u - 4 = 0, -j = 5*u - 8. Suppose o - 5 + 3 = t, o = -4*t - 23. Let q(h) = -h**2 - 4*h + 2. Let a be q(o). Solve j = 2*p + a for p.
-1
Suppose 2*o + 17 = 1. Let v(n) = -n. Let i(s) = -s**3 - 7*s**2 + 7*s. Let j(r) = -i(r) + v(r). Let f be j(o). Solve f*z = -2*z for z.
0
Suppose -y = y - 14. Suppose 1 = 2*p - y. Solve 11 = -p*z - 9 for z.
-5
Let i be (-2*1)/(-1)*1. Let b be 1*i - (2 + -1). Let z = b + 1. Solve z = 5*x - 23 for x.
5
Let z(x) = -x + 1. Let p be z(6). Let m be (-15)/p - 3*1. Let f be (-2)/(-3)*(-6)/(-4). Solve -3*v + f - 4 = m for v.
-1
Suppose 2 = m, v = -0*v - 4*m + 20. Suppose r - 10 = -i + v, -5 = -r. Solve i = 5*o - 3 for o.
4
Let y = 4 + -2. Suppose y*z = 5*r + 2, 2*z - 4*r = z - 2. Solve z = -0*s + 2*s for s.
3
Let c(f) = 2*f - 3*f**2 + 24 + 2*f**2 - 2*f**2 + 3*f**3 - 23. Let r be c(2). Let z = -12 + r. Solve -z*j = -6 - 14 for j.
4
Suppose 2*y - 6 = -0*y, 2*y = m + 2. Let n = m - 4. Solve n = -2*k + 10 - 2 for k.
4
Let r(u) = 2*u**2 + u + 1. Let j be r(-1). Let f be 3/(-1) - (-5 - 0). Suppose -f + 4 = x. Solve -j*h + 16 = x*h for h.
4
Suppose 3*x = -3*x. Suppose 16 = 3*b - 0*i - 2*i, -5*i - 33 = -4*b. Solve -b*l + l - 5 = x for l.
-5
Let s(r) = -2*r**2 + 11*r - 5. Let v be s(5). Solve v*d + d = -3 for d.
-3
Let b(o) = -o**3 - 12*o**2 + 4. Let h be b(-12). Suppose 4*g = -2*d + 22, 5*d = 2*g + 7 - 0. Solve -4 = h*c + g for c.
-2
Let n be 64/(-56)*(-21)/6. Solve -5*q - n = 1 for q.
-1
Let x be 92/6 + 2/(-6). Let y = 0 + x. Solve 0 = -f - 2*f - y for f.
-5
Suppose -4 = -c - 25. Let r be ((-12)/c + 2)*7. Suppose r = 4*f - 58. Solve 6 = 5*p - f for p.
5
Suppose -2*o = -5*o - 9. Let s(t) = t**3 + 2*t**2 + 3. Let l be s(o). Let p be ((-20)/8)/(1/l). Solve -7*d = -2*d + p for d.
-3
Suppose r - 2 = -0*r. Let p = 2 - r. Solve -d - 4 = -p for d.
-4
Suppose -5*f + 14 = 2*f. Solve l = -f*l for l.
0
Suppose 14*s - 16*s = -4. Solve -s*a + 4 = -4 for a.
4
Let u(k) = -2 - 1 + 0 + k. Let d(z) = z**3 - 4*z**2 + 2*z - 2. Let n be d(4). Let a be u(n). Solve -a*m - 20 = 2*m for m.
-4
Suppose 65 = -5*d - 3*k, -d + 4*k = 54 - 18. Let p = 31 - 56. Let y = d - p. Solve y = 4*g - 3 for g.
3
Let t be (-18)/(-63) - 24/(-14). Solve 2*j - 4*j + t = 0 for j.
1
Let s(j) be the first derivative of -j**2/2 + 12*j - 4. Let v be s(8). Solve -v*h + h = 12 for h.
-4
Let p = -81 - -84. Solve -p*o - 2 - 7 = 0 for o.
-3
Let k = 18 - 9. Suppose v - 4*v = -k. Solve y = -2*y - v for y.
-1
Let s = 10 + -10. Solve -4*b + 1 - 9 = s for b.
-2
Suppose 5*o - 25 = -5*w, -5*w + 0
|
{
"pile_set_name": "DM Mathematics"
}
|
2876 + 9460 + 31798 - 66 = -958*p for p.
-46
Solve -571*m = -4000 - 3422 + 3653 - 4796 for m.
15
Solve -2003*s - 383*s - 72478 = -48*s for s.
-31
Solve -1175*w = 963*w - 102624 for w.
48
Solve 1695 = 232*t + 10047 for t.
-36
Solve 749*v + 233*v - 8814 = -20598 for v.
-12
Solve 983*z - 27469 - 9595 = -3642 for z.
34
Solve 6809 + 3223 = -115*s + 1212*s - 938 for s.
10
Solve -36496 = -1352*w - 879*w + 48282 for w.
38
Solve 0 = 67*a - 394237 + 397185 for a.
-44
Solve -2812*g = -965*g + 4841*g + 615296 for g.
-92
Solve -14160 = -61013675*g + 61013557*g for g.
120
Solve -1780*x + 72861 = 801*x + 2919*x - 174639 for x.
45
Solve 808 + 15191 = -310*v - 10971 for v.
-87
Solve -8165 = -500*f - 545*f + 1160*f for f.
-71
Solve 322542*t - 322467*t = -3679 - 146 for t.
-51
Solve -62*y - 597*y = 245*y + 2503 + 21905 for y.
-27
Solve 476 - 7169 = -429*a + 3603 for a.
24
Solve 5374*j + 52955 = 4751*j for j.
-85
Solve -3643*d - 3492*d = 3514*d - 2927*d + 957528 for d.
-124
Solve -2134*p + 4401*p - 2172*p = 285 for p.
3
Solve -23026 = -1129*c + 1526*c for c.
-58
Solve 18338 = -6879*s - 16057 for s.
-5
Solve 0 = 231*i - 1115 - 777 + 737 for i.
5
Solve 570 + 422 = 18*x + 13*x for x.
32
Solve -5145 = -169932*a + 169827*a for a.
49
Solve 4227 + 720 + 2451 = -411*k for k.
-18
Solve 1683 - 3785 = -292*q + 15126 for q.
59
Solve -333*g - 179*g + 18799 + 9361 = 0 for g.
55
Solve -607896 = 15*r - 607836 for r.
-4
Solve -305*o + 166*o - 1022 = -212*o for o.
14
Solve 31 - 30 = 187*f - 16*f + 1 for f.
0
Solve 1126*w = -7238 - 20397 - 23035 for w.
-45
Solve 0 = 2190*v + 3143*v - 223986 for v.
42
Solve -19*w + 2*w + 171*w = -43*w + 11426 for w.
58
Solve 3365*x - 3289*x = 1216 for x.
16
Solve -89539*s = -89236*s + 16968 for s.
-56
Solve 983*b - 5756*b + 138417 = 0 for b.
29
Solve -452 + 1748 = 63*i - 909 for i.
35
Solve 949*d = 658*d - 4365 for d.
-15
Solve 732 + 487 = -60*r + 79 for r.
-19
Solve -25*j - 1674 = -3750 + 1751 for j.
13
Solve -9204 + 1944 = 326*r + 9543 + 475 for r.
-53
Solve 114621*r - 116012*r = 55640 for r.
-40
Solve 184051*j = 183895*j - 6708 for j.
-43
Solve 378*u + 3003 - 2247 = 0 for u.
-2
Solve -3*z - 890 - 2270 = -82*z for z.
40
Solve -1054*l - 2127 = 8413 for l.
-10
Solve 506*j - 367*j + 3948 = -425*j for j.
-7
Solve 941324*i = 941289*i + 490 for i.
14
Solve -52*x - 14*x - 304 = 10*x for x.
-4
Solve 3950691*o + 22500 = 3950316*o for o.
-60
Solve -19836 = 686*o - 1132*o + 707*o for o.
-76
Solve -338776 = -2186*u - 2121*u + 1816*u for u.
136
Solve 87*v + 3148 = -430*v - 13*v - 24942 for v.
-53
Solve 1455*i + 42119 + 29470 = 2916*i for i.
49
Solve -12186 = 172*a - 14594 for a.
14
Solve -107*j + 101*j + 5467 = -83*j for j.
-71
Solve 902*v + 138886 = 4204*v + 7672*v + 1652*v for v.
11
Solve 9434 = -179*a - 122*a + 103 for a.
-31
Solve -305*y - 63*y + 11805 = -14323 for y.
71
Solve 39*p + 4*p + 6732 = -56*p for p.
-68
Solve -3824*c + 3994*c + 680 = 0 for c.
-4
Solve -223*o = 163*o + 60 + 9976 for o.
-26
Solve -21*y = 137*y + 158 - 1896 for y.
11
Solve 112*m - 306*m - 6441 - 22233 = 1399*m for m.
-18
Solve -1209*g - 47692 + 5214 = 2016*g + 15572 for g.
-18
Solve 26014425 = 84*k + 26008881 for k.
66
Solve 62*t + 4167 = 147*t + 1030 - 858 for t.
47
Solve 1913*v - 1832*v - 736 = -4462 for v.
-46
Solve 5074*b - 874*b = -1378*b + 78092 for b.
14
Solve 8517*h - 4063*h = 4072*h + 764 for h.
2
Solve -505*s - 551*s - 69552 = -48*s for s.
-69
Solve 199727*n = 199754*n - 1404 for n.
52
Solve -14*l = 17*l - 3369 + 1790 + 1827 for l.
-8
Solve 30877*m - 32364*m + 43123 = 0 for m.
29
Solve 206*l - 241 + 439 = -1166 - 284 for l.
-8
Solve -26410 = 2894*w + 22788 for w.
-17
Solve 431*v - 4638 + 7752 + 9037 = -7244 for v.
-45
Solve 257*k + 198 = -249*k + 512*k for k.
33
Solve 45891*i = 45765*i + 2520 for i.
20
Solve -136*g + 20997 - 6597 = 134*g + 90*g for g.
40
Solve -21*m + 398*m - 12690 = 78*m - 2524 for m.
34
Solve -62*k - 703*k - 508*k + 187131 = 0 for k.
147
Solve 2933 - 2810 = 123*k for k.
1
Solve -10854*h + 10381*h = 28853 for h.
-61
Solve 8666*o - 328915 = 266672 - 179619 for o.
48
Solve -711 = -132*y - 217 + 5252 + 3890 for y.
73
Solve 1227*c - 3361*c - 12400 = -1159*c - 1175*c for c.
62
Solve 7*g - 2504741 = -2504391 for g.
50
Solve 0 = 2378*c + 43639 - 17976 + 62323 for c.
-37
Solve -278*z + 7327 - 7883 = 0 for z.
-2
Solve 101760*k = 101677*k + 7055 for k.
85
Solve 145*n + 8784 = 87 + 432 for n.
-57
Solve 11 = -10*v + 7 + 5 + 9 for v.
1
Solve 6275 = 4*n + 6331 for n.
-14
Solve -13131 = -27*b + 191*b - 12803 for b.
-2
Solve 103*d - 246*d = -7908 - 1244 for d.
64
Solve -31*s - 156*s + 6937 - 392 = 0 for s.
35
Solve 175*f = 130*f - 914 - 571 for f.
-33
Solve 361*w = 2708*w for w.
0
Solve 956*d - 125088 = -121264 for d.
4
Solve -3263*b - 180540 = 749*b for b.
-45
Solve -30479 = 385*z + 931 + 7475 for z.
-101
Solve 35*t - 43*t + 76 = 30*t for t.
2
Solve 0 = -41*i - 3712 + 5721 for i.
49
Solve -328*f + 5465 = 38*f - 6247 for f.
32
Solve 0 = -10*y - 21*y - 100 - 550 - 311 for y.
-31
Solve 435*y + 10158*y = -1044*y - 279288 for y.
-24
Solve 2518753*a = 2518382*a - 44520 for a.
-120
Solve -11262 = -974*f + 38412 for f.
51
Solve 79835469*m - 1328 = 79835447*m + 1334 for m.
121
Solve 1778*v + 1562*v + 1008*v - 395892 = -365*v for v.
84
Solve -144*k = 289 - 3618 - 847 for k.
29
Solve 9935*c - 10104*c + 13351 = 0 for c.
79
Solve -218*t + 210 + 3650 = -1154 for t.
23
Solve 242 = 204*w - 162*w - 153*w - 7306 for w.
-68
Solve -1886*t + 27023 + 44561 = -17639 + 21327 for t.
36
Solve -200*f + 86*f - 2505 = 721*f for f.
-3
Solve -2201*c + 3139*c - 2814 = 0 for c.
3
Solve -f + 4543 = -77*f + 4619 for f.
1
Solve -66445599*i + 21476 = -66445417*i for i.
118
Solve 6008*o - 58094 = 5071*o for o.
62
Solve 3874*z - 23135 = 4535*z for z.
-35
Solve 3273*r + 4407*r - 2115*r = -178080 for r.
-32
Solve 5352 - 4269 = -57*g for g.
-19
Solve -8543*h + 345922 + 679916 = 414095 - 327987 for h.
110
Solve -5598*b + 5647*b = -49 for b.
-1
Solve 0 = 229*h + 1930 - 103 + 2912 - 159 for h.
-20
Solve -1239*g + 62625 + 59637 = -596*g + 848*g for g.
82
Solve -1702*y + 234*y - 725381 = 9512*y - 99521 for y.
-57
Solve -4*y + 3660*y - 431477 = -1943*y - 33948 for y.
71
Solve 3068*n + 1630 - 524 - 2436 = 4806 for n.
2
Solve 14*r + 20733 = 184*r - 9*r + 8336 for r.
77
Solve 0 = 17519*w - 402588 - 508400 for w.
52
Solve -136*t + 5*t = -64*t - 3685 for t.
55
Solve 0 = -100109*j + 100029*j - 160 for j.
-2
Solve 8165 = -13859655*k + 13859540*k for k.
-71
Solve 371*w - 43 - 142 = 186 for w.
1
Solve -6025*f + 781724 = -14522*f for f.
-92
Solve 2364*s = 4722*s - 2363*s + 173 + 67 for s.
48
Solve -1922 = -489*z - 18116 - 4833 for z.
-43
Solve 1824 = -1880*c - 1847*c + 3879*c for c.
12
Solve -604*l - 55 = -14551 for l.
24
Solve -6597*o + 12157 + 34022 = 0 for o.
7
Solve -10970393*k + 10970233*k = -4320 for k.
27
Solve -28687 + 42394 + 43215 = 1074*y for y.
53
Solve 6207 = -240*u - 4493 - 4042 - 1818 for u.
-69
Solve 0 = -1950*g + 2633*g + 34150 for g.
-50
Solve 4622 - 3978 = -28*j for j.
-23
Solve 0 = 303*r - 1705 + 19582 for r.
-59
Solve -8874*o - 150372 = -201039 - 74486 - 238681 for o.
41
Solve -204*x - 2451 = 4619 + 6190 for x.
-65
Solve 0 = -213*w - 6758 + 368 for w.
-30
Solve -21082 + 8337 - 15501 = 161*p + 326*p for p.
-58
Solve 5333*h = 5487*h + 6006 for h.
-39
Solve -229*i = 103*i - 12284 for i.
37
Solve -236 = 3948539*j - 3948480*j for j.
-4
Solve 0 = -555*k + 22053 + 22347 for k.
80
Solve 465964 = -83*f + 464636 for f.
-16
Solve 15*j + 10*j = -30*j - 76*j + 9694 for j.
74
Solve 276*u - 306*u = 90 for u.
-3
Solve 87 - 324 + 116 = 14*j + 579 for j.
-50
Solve -298*q - 138501 = 886*q + 215*q for q.
-99
Solve 667*v - 387*v = -5600 for v.
-20
Solve -3306*f - 13069 = 144028 - 8327 for f.
-45
Solve -1933 + 489 = 131*y + 3086 + 1889 for y.
-49
Solve -397130*y + 397119*y = -33 for y.
3
Solve 8*d - 34 = -3 + 97 for d.
16
Solve 0 = -2530*l - 1804*l - 433400 for l.
-100
Solve 82*x - 27*x - 120*x = 38*x + 5356 for x.
-52
Solve 278*z + 631*z + 20038 = -585*z - 24782 for z.
-30
Solve 1419 - 762 = -152*c - 2*c - 6581 for c.
-47
Solve -848 + 2635 = 343*z - 4387 for z.
18
Solve 197*n + 257*n + 29920 = 14*n for n.
-68
Solve -164*x - 91*x - 8370 = 55*x for x.
-27
Solve 158*r - 1480 = 289*r - 168*r for r.
40
Solve -219*l - 41*l = -
|
{
"pile_set_name": "DM Mathematics"
}
|
What is 541 to the power of 1/2, to the nearest integer?
23
What is 13314 to the power of 1/4, to the nearest integer?
11
What is 1387 to the power of 1/6, to the nearest integer?
3
What is the cube root of 19360 to the nearest integer?
27
What is the cube root of 29 to the nearest integer?
3
What is the sixth root of 59180 to the nearest integer?
6
What is the seventh root of 8821 to the nearest integer?
4
What is the tenth root of 61184 to the nearest integer?
3
What is the square root of 1115 to the nearest integer?
33
What is 23786 to the power of 1/3, to the nearest integer?
29
What is 11968 to the power of 1/3, to the nearest integer?
23
What is the square root of 36332 to the nearest integer?
191
What is the square root of 51398 to the nearest integer?
227
What is the ninth root of 106 to the nearest integer?
2
What is the ninth root of 39 to the nearest integer?
2
What is 6049 to the power of 1/2, to the nearest integer?
78
What is the square root of 148266 to the nearest integer?
385
What is 12019 to the power of 1/5, to the nearest integer?
7
What is the cube root of 925 to the nearest integer?
10
What is the seventh root of 2590 to the nearest integer?
3
What is 5127 to the power of 1/4, to the nearest integer?
8
What is 144676 to the power of 1/2, to the nearest integer?
380
What is the third root of 4629 to the nearest integer?
17
What is the square root of 3433 to the nearest integer?
59
What is 510 to the power of 1/7, to the nearest integer?
2
What is 37 to the power of 1/2, to the nearest integer?
6
What is the ninth root of 4819 to the nearest integer?
3
What is the third root of 3481 to the nearest integer?
15
What is the third root of 1196 to the nearest integer?
11
What is the cube root of 2856 to the nearest integer?
14
What is the tenth root of 3463 to the nearest integer?
2
What is the ninth root of 4799 to the nearest integer?
3
What is the square root of 36152 to the nearest integer?
190
What is 28206 to the power of 1/7, to the nearest integer?
4
What is the square root of 521 to the nearest integer?
23
What is the eighth root of 135699 to the nearest integer?
4
What is the cube root of 1152 to the nearest integer?
10
What is the square root of 1347 to the nearest integer?
37
What is the third root of 13 to the nearest integer?
2
What is the fourth root of 8692 to the nearest integer?
10
What is 10672 to the power of 1/3, to the nearest integer?
22
What is the cube root of 2509 to the nearest integer?
14
What is the sixth root of 34946 to the nearest integer?
6
What is 28129 to the power of 1/4, to the nearest integer?
13
What is 1584 to the power of 1/2, to the nearest integer?
40
What is 2440 to the power of 1/2, to the nearest integer?
49
What is 817 to the power of 1/2, to the nearest integer?
29
What is the square root of 10372 to the nearest integer?
102
What is 2086 to the power of 1/6, to the nearest integer?
4
What is 27265 to the power of 1/9, to the nearest integer?
3
What is 2680 to the power of 1/5, to the nearest integer?
5
What is 2059 to the power of 1/3, to the nearest integer?
13
What is 9942 to the power of 1/5, to the nearest integer?
6
What is the square root of 30269 to the nearest integer?
174
What is the fifth root of 420 to the nearest integer?
3
What is the square root of 812 to the nearest integer?
28
What is 878 to the power of 1/2, to the nearest integer?
30
What is the fifth root of 27238 to the nearest integer?
8
What is the square root of 41093 to the nearest integer?
203
What is 57477 to the power of 1/6, to the nearest integer?
6
What is 25953 to the power of 1/2, to the nearest integer?
161
What is the third root of 38807 to the nearest integer?
34
What is 175 to the power of 1/10, to the nearest integer?
2
What is 81897 to the power of 1/3, to the nearest integer?
43
What is 141577 to the power of 1/3, to the nearest integer?
52
What is 74538 to the power of 1/8, to the nearest integer?
4
What is 1806 to the power of 1/2, to the nearest integer?
42
What is 1800 to the power of 1/2, to the nearest integer?
42
What is 49949 to the power of 1/2, to the nearest integer?
223
What is the fifth root of 1068 to the nearest integer?
4
What is the third root of 24381 to the nearest integer?
29
What is the square root of 14985 to the nearest integer?
122
What is 39254 to the power of 1/2, to the nearest integer?
198
What is the third root of 5128 to the nearest integer?
17
What is 11680 to the power of 1/7, to the nearest integer?
4
What is the fifth root of 25178 to the nearest integer?
8
What is the third root of 33154 to the nearest integer?
32
What is the cube root of 93870 to the nearest integer?
45
What is 9873 to the power of 1/2, to the nearest integer?
99
What is 1466 to the power of 1/5, to the nearest integer?
4
What is 1346 to the power of 1/3, to the nearest integer?
11
What is 5335 to the power of 1/3, to the nearest integer?
17
What is 10719 to the power of 1/5, to the nearest integer?
6
What is 121249 to the power of 1/8, to the nearest integer?
4
What is 34 to the power of 1/4, to the nearest integer?
2
What is the third root of 2158 to the nearest integer?
13
What is 169275 to the power of 1/6, to the nearest integer?
7
What is the square root of 956 to the nearest integer?
31
What is the square root of 18234 to the nearest integer?
135
What is the square root of 806 to the nearest integer?
28
What is 970 to the power of 1/2, to the nearest integer?
31
What is 744 to the power of 1/2, to the nearest integer?
27
What is the seventh root of 22120 to the nearest integer?
4
What is the third root of 9898 to the nearest integer?
21
What is 36233 to the power of 1/2, to the nearest integer?
190
What is 120347 to the power of 1/2, to the nearest integer?
347
What is 11294 to the power of 1/9, to the nearest integer?
3
What is 2300 to the power of 1/2, to the nearest integer?
48
What is 29489 to the power of 1/8, to the nearest integer?
4
What is 5204 to the power of 1/8, to the nearest integer?
3
What is 4950 to the power of 1/2, to the nearest integer?
70
What is the cube root of 1708 to the nearest integer?
12
What is the fifth root of 4603 to the nearest integer?
5
What is 29408 to the power of 1/2, to the nearest integer?
171
What is the third root of 40278 to the nearest integer?
34
What is the third root of 1410 to the nearest integer?
11
What is the sixth root of 9091 to the nearest integer?
5
What is 49261 to the power of 1/2, to the nearest integer?
222
What is the square root of 170 to the nearest integer?
13
What is 139 to the power of 1/7, to the nearest integer?
2
What is 4525 to the power of 1/3, to the nearest integer?
17
What is 840 to the power of 1/4, to the nearest integer?
5
What is the cube root of 2699 to the nearest integer?
14
What is 79847 to the power of 1/10, to the nearest integer?
3
What is 1171 to the power of 1/2, to the nearest integer?
34
What is the sixth root of 2868 to the nearest integer?
4
What is the third root of 2042 to the nearest integer?
13
What is the seventh root of 20908 to the nearest integer?
4
What is 33411 to the power of 1/2, to the nearest integer?
183
What is 190 to the power of 1/2, to the nearest integer?
14
What is the third root of 18852 to the nearest integer?
27
What is the square root of 7890 to the nearest integer?
89
What is the tenth root of 85327 to the nearest integer?
3
What is 15572 to the power of 1/3, to the nearest integer?
25
What is the cube root of 1420 to the nearest integer?
11
What is 1009 to the power of 1/2, to the nearest integer?
32
What is 43396 to the power of 1/2, to the nearest integer?
208
What is the fifth root of 10138 to the nearest integer?
6
What is 2994 to the power of 1/2, to the nearest integer?
55
What is the third root of 141 to the nearest integer?
5
What is the sixth root of 1061 to the nearest integer?
3
What is the cube root of 842 to the nearest integer?
9
What is the cube root of 2091 to the nearest integer?
13
What is the cube root of 7099 to the nearest integer?
19
What is 3223 to the power of 1/7, to the nearest integer?
3
What is 25806 to the power of 1/2, to the nearest integer?
161
What is 891 to the power of 1/6, to the nearest integer?
3
What is 723 to the power of 1/1
|
{
"pile_set_name": "DM Mathematics"
}
|
n multiple of l and 11?
418
Let j(p) = p**3 + 19*p**2 + 34*p + 18. Suppose 4*x + 83 = -3*f, -3*f - 57 = 3*x + 9. What is the least common multiple of 260 and j(x)?
2340
Let n = -1481 + 1613. Calculate the lowest common multiple of n and 176.
528
Let b(l) = l**2 + 7*l - 1. Let z be b(-6). Calculate the common denominator of (((-7)/z)/(-6))/((-10)/116) and 7/15.
15
Let i(m) = -m**3 - 3*m**2 - 4*m - 9. Let w be i(-3). What is the common denominator of -1 - 128/(-26) - w and (-2)/(-5) + 393/(-45)?
39
Find the common denominator of 6/(-2) - 1 - (-24717)/6996 and 59/22.
2332
What is the common denominator of (-24)/(-180)*(-303)/(-8) and (2/64)/((-298)/(-30098))?
160
Let m(g) = 28*g**3 + 2*g**2 - 5*g - 2. Let x be m(2). Suppose 4*s = 2*f + 249 + 191, 5*f = 2*s - x. Calculate the least common multiple of 14 and s.
770
Let o = 5565 + -5555. Let a(b) = -b - 3. What is the lowest common multiple of o and a(-4)?
10
Suppose -71*m + 270 = -65*m. What is the smallest common multiple of 276 and m?
4140
Let u(x) = -33*x - 1275. Calculate the smallest common multiple of 12 and u(-40).
180
Let p = 2193 - 2083. Calculate the smallest common multiple of p and 5.
110
Let t(f) = 4*f - 5. Let u be t(4). Suppose u*a = 12*a + 5*n + 4, a - 4 = -n. Let l = 75 - 48. Calculate the smallest common multiple of a and l.
54
Suppose -281 = -3*v - 4*k, -507 = v - 6*v + 3*k. Let g = v - 87. Suppose 0 = 3*r - r - 4. Calculate the lowest common multiple of r and g.
12
Suppose -z + 12 = 2*z - 3*s, 0 = z - 5*s. Suppose -b - 5*j - z - 13 = 0, 0 = -5*b - 5*j - 50. What is the lowest common multiple of 6 and 7 - (4 - (-2 - b))?
18
Suppose 4*g = -16, 13 = y - 2*y - 4*g. Let q(w) = 9*w + 69. Calculate the smallest common multiple of y and q(-7).
6
Let r = 18 - 16. Suppose -l - 4*l + r*t = -155, -2*l = -4*t - 62. Let k = 47 - l. What is the lowest common multiple of 14 and k?
112
Let r = 53 - 53. Suppose 0 = 2*z + 5*s + 16, -3*s = -r*s + 12. Calculate the smallest common multiple of z and (2 + -17)*4/(-6).
10
Let f(y) = -6*y**3 - 3*y + 2. Let s be f(1). Let o be 2 - ((-6 - s) + (-1 - 2)). Calculate the common denominator of (o/3 - 2) + (-63)/15 and -47/6.
30
Let v = 1263 + -885. Let t = -334 + v. What is the lowest common multiple of t and 132?
132
Let z = 125989/858 + -1910/13. What is the common denominator of z and -151/780?
8580
Calculate the common denominator of 101/80 and 149/96 - (-1 + 14/7).
480
Let a be (-11640)/97*1/((-3)/4). Let m = 230 - a. Calculate the smallest common multiple of m and 5.
70
Suppose 94*p - 1185 = 902 + 2613. What is the lowest common multiple of 13 and p?
650
Let o = -47/880 + 19247/18480. Let i = -3370 + 60553/18. Calculate the common denominator of i and o.
252
Let n = 8 - 9. Suppose -4*k - 37 = 2*b - 109, -4*k + 4*b + 84 = 0. Let l = n + k. Calculate the least common multiple of l and 44.
396
Let u = 1526 - 6047/4. Let q = 366904 - 111538909/304. What is the common denominator of u and q?
304
Let h = -169701 + 41407137/244. Calculate the common denominator of 187/600 and h.
36600
Suppose -146 = 2*v + b, v - b + 73 = -3*b. Let i = -124 - v. Let n = 54 + i. Calculate the smallest common multiple of 1 and n.
3
Let x(m) = -m**2 - 39*m - 217. Calculate the smallest common multiple of x(-9) and 1113.
1113
Suppose 843 = 22*o - 605 + 524. Calculate the smallest common multiple of 52 and o.
1092
Let m be (-3 + 10/2)*(-3069)/(-6). Suppose -j - m = -1039. What is the least common multiple of 26 and j?
208
Let k = -1297/5 - -254. Let j = 329 + -98. What is the common denominator of k and (-453)/j - -2*(0 - -1)?
385
Let x = -3861289/340 - -56784/5. Find the common denominator of x and 23/102.
1020
Let m = 1839/29 - 333741/5278. What is the common denominator of m and -61/728?
728
Let h = -9026 + 20022. Let u be h/(-1330)*(-15)/924. Let f = -2/931 - u. What is the common denominator of -27/20 and f?
220
Let b = 1449/3440 + 93/430. Calculate the common denominator of b and 93/64.
320
Calculate the common denominator of 71/200 and ((-7626)/(-465))/(56/(-6))*(-28)/72.
600
Suppose 31*v - 4352 = 35731. Calculate the lowest common multiple of v and 3.
1293
Suppose 0 = 203*m - 175*m - 448. Calculate the smallest common multiple of 1672 and m.
3344
Let k(y) be the third derivative of -7*y**4/24 + 25*y**3/6 - 45*y**2. Calculate the least common multiple of k(2) and 10.
110
Suppose -5*y = -4*o + 36, 2*o + o = -3*y. Suppose -114 = -o*g - 6. Suppose -z = -g - 0. Calculate the least common multiple of z and 15.
135
Calculate the common denominator of 59/2480 and 264/(-248)*(-782)/12420.
22320
Let u(r) = -r**2 + 9*r - 11. Let n be u(2). Suppose -3*c = 5*i - 47, n*i + 0*i - 32 = 2*c. What is the least common multiple of 137 and i?
1370
Suppose -2566 - 18450 = -71*n. What is the least common multiple of n and 64?
2368
Let n = -54 - -94. Suppose -n - 245 = -19*w. What is the lowest common multiple of 36 and w?
180
Find the common denominator of 190/(-924)*16/(-10) and 44/2*-1 + (-72170)/(-3234).
231
Let y(x) = -x**2 - 3 - 18 - 5 - 4 + 13*x. What is the least common multiple of y(7) and 4?
12
Let y = 16 + -15. Let z(g) = g**3 + 8*g**2 + 4*g - 20. Calculate the smallest common multiple of z(-7) and y.
1
Let d(w) = -2253*w**2 - 4*w - 4. Let v be d(-1). Calculate the common denominator of -20/11 and 2/(-15) + v/(-360).
88
Let m = 790 - 786. Calculate the lowest common multiple of 88 and m.
88
Suppose -406304 - 191392 = -566*h. Calculate the least common multiple of h and 66.
1056
Let l = -1154 - -314. Let w be -5086*-3*(-6)/108. Let z = l - w. Calculate the common denominator of z and -119/6.
6
Let t(r) = -2*r**3 + 42*r**2 + 14. Let b(k) = 2*k**2 + 4*k - 9. Let u be b(-5). Calculate the least common multiple of (1 + (-36)/20)*-40 and t(u).
224
Suppose -157 = 9*d - 10*d. Let m = 223 - d. What is the lowest common multiple of 60 and m?
660
Let u(a) = 5*a - 8. Suppose 0 = 2*i - 7*i + 30. Calculate the lowest common multiple of (-8 - (8 - 150/9))/((-1)/(-12)) and u(i).
88
Let q be (14/24*9)/((-2)/24). Let b(w) = w**3 - w**2 - 6*w - 3. Let z be b(5). Let l = q + z. What is the lowest common multiple of 52 and l?
52
Let g = 40 + -24. Suppose -37 = 5*f - 52. Suppose f*s + 228 = 22*s. Calculate the smallest common multiple of s and g.
48
Let r be 33/(-22) + (-9)/(-2). Suppose 2*t + 26 = g - r*t, 5*g + 4*t = 188. Calculate the smallest common multiple of g and 28.
252
Suppose -2*l - 3*r + 138 = 0, 3*l + r - 226 = 6*r. Let t(m) = -2*m**2 + 472*m - 6156. Calculate the smallest common multiple of l and t(14).
360
Let w(y) = -34*y - 31. Let v be w(-7). Suppose 5*b + 258 = -v. What is the common denominator of -14/19 and (14/5)/(-4 + b/(-15))?
209
Let t = -7630 + 8310. Calculate the lowest common multiple of 1275 and t.
10200
Let y(o) = -19 + 2*o**3 + 0*o**3 - 9*o + 30 - 13*o**2. Let i be y(6). Let v = 82 + i. What is the lowest common multiple of v and 11?
33
Suppose -5*m - 26 = -5*c - 6, 2*c + m = 14. Suppose 42*t - 36*t + 90 = 0. Calculate the least common multiple of (t + 17)*(1 - -12) and c.
78
Let x = 638306/37733 - 1598/97. Let o = 78107/149376 - x. Calculate the common denominator of 61/8 and o.
384
Let k = 14 - 2. What is the smallest common multiple of k and 952?
2856
Suppose -5*d = d + 23274. Let u = d + 38827/10. Find the common denominator of (-8)/28 - (-1696)/(-140) and u.
10
Let j be 1*-1*(0 - 1). Suppose 2*l = 14 - 20, 0 = -c - 2*l - 50. Find the common denominator of (j/c)/(19/494) and 83/2.
22
Let b = -33868 - -34033. Calculate the smallest common multiple of b and 1485.
1485
Let q(d) = -3*d - 37 + 46 - 3*d. Let b(a) = a. Let x(s) = 4*b(s) - q(s). Calculate the smallest common multiple of x(4) and 11.
341
Suppose -13*h + 3*q = -9100, -3*q = h - 5*q - 700. What is the lowest common multiple of 14 and h?
700
Let s(a) = -a**2 + 10*a - 10. Suppose -12*g + 394 = -206. Let f = g + -47. Calculate the lowest common multiple of s(8) and f.
6
Suppose b = -2*n + 9, n = 2*b - 4*n. Suppose r = b*r - 36. Let g = 396 + -395. Calculate the least common multiple of g and r.
9
Let w be (1 - (-1 + 17))*105/9. Let s = -165 - w. Calculate the smallest common multiple of s and 4.
20
Let c = -4241/13 + 3451771/10582. What is the common denominator of 79/222 and c?
2442
Suppose -5*n + t = 13 - 70, 4*n -
|
{
"pile_set_name": "DM Mathematics"
}
|
9, 0 = -r*s + 5*i + 103. List the prime factors of s.
2, 3
Suppose -150*y = -156*y + 3108. What are the prime factors of y?
2, 7, 37
Let o(t) = 458*t - 5. What are the prime factors of o(1)?
3, 151
Let i be 3/(-1) + 2 + 7. Let m be i/(-15) + 3/(-5). What are the prime factors of (-4)/m + 70 + -1?
73
Let v be (-40)/(-22) + 6/33. Suppose v*a - 9 - 71 = 0. Let b = -23 + a. What are the prime factors of b?
17
Suppose 3*n + 14*n - 53856 = 0. List the prime factors of n.
2, 3, 11
What are the prime factors of (-69 + 273)*(1 + 7)?
2, 3, 17
Suppose 0 = -5*c + 10, -2*j + 4*c = 7*c - 592. List the prime factors of j.
293
Suppose -2*o + 144 = -3*v - 2492, 16 = -4*v. What are the prime factors of o?
2, 41
Suppose -c + 3*s + 23 + 85 = 0, -5*s = -5. Suppose 27*l - 30*l + c = 0. What are the prime factors of l?
37
Suppose -1614 = -5*t + 5*v + 1936, -10 = 2*v. What are the prime factors of t?
3, 5, 47
Let s = -21 + 31. Let p = 12 - s. What are the prime factors of p?
2
Let r = -8812 + 12729. What are the prime factors of r?
3917
Let r(h) = -h**2 + 6*h + 3. Let f be r(7). Let p be 1/(-4)*f + 2. Let b = 14 - p. What are the prime factors of b?
11
List the prime factors of ((-36)/(-16))/((-21)/(-2380)).
3, 5, 17
Let x = -1329 + 1993. List the prime factors of x.
2, 83
Suppose -z = 7 - 14. Suppose -4*h = z*m - 4*m - 28, 4*h = -5*m + 36. Suppose l = 4*l, -4*l = m*v - 44. What are the prime factors of v?
11
Let o(l) = -l**3 + 1. Let b be o(-1). Suppose -3*t - 25 = b*z + 2*z, -5*t - 3 = -3*z. List the prime factors of (-90)/40*8/t.
2, 3
Suppose -4*o - 5*q = 255, -4*o + 23 = 3*q + 272. Let l = 87 + o. What are the prime factors of l?
3
Let q = 21 - 22. Let f(p) = 19*p**2 - p. What are the prime factors of f(q)?
2, 5
Let n(f) = -61*f - 91. List the prime factors of n(-9).
2, 229
Let k(u) = 181*u**2 + 13*u + 21. What are the prime factors of k(-2)?
719
Suppose 7*w = -2*w - 72. Let t = w + 24. List the prime factors of t.
2
Suppose -5*p + 88 = -142. Let w = -31 + p. Let b = 50 - w. List the prime factors of b.
5, 7
Let g(l) = l**3 - 5*l**2 - 2*l - 11. Let c(p) = -p. Let q be c(-6). What are the prime factors of g(q)?
13
Let h(t) = 10*t - 2. Let k be h(5). Let s = 119 - k. Let p = -43 + s. What are the prime factors of p?
2, 7
Suppose d - 320 + 104 = 0. Suppose 62*n - 61*n - d = 0. What are the prime factors of n?
2, 3
Suppose 9*o - 244 = 5*o. Let z = 37 + o. What are the prime factors of z?
2, 7
Suppose 2*d + 3*d = 0. Suppose 18 = 3*x - d*x. Suppose x = 2*s - 22. List the prime factors of s.
2, 7
Let l(x) = -x**2 + 2*x - 2. Let j be l(-4). Let n = j - -99. List the prime factors of n.
73
Suppose 2*d - 81 = -q, -4*q + 3*d + 194 = -86. Suppose -l - 16 = -q. List the prime factors of l.
3, 19
Suppose -5*d + 2*d - n + 2069 = 0, -4*n = 4*d - 2764. List the prime factors of d.
13, 53
Suppose -3*m - 25 = -8*m, 2*v - 3*m = 5551. List the prime factors of v.
11, 23
Suppose -5*b + 2*n + 5 = 4*n, -2*n - 1 = -b. List the prime factors of (15 + -28)/(b/(-5)).
5, 13
Let f = -9 - -14. Suppose f*z + 3*a - 1215 = 0, -3*z - 4*a + 733 = -3*a. Suppose 6*y - z = -0*y. List the prime factors of y.
41
Let u(i) = i**2 - 4*i - 16. Let b be u(7). Suppose -b*x - 3 = -118. List the prime factors of x.
23
Suppose 30*z = 25*z + 1480. Suppose 2*k + p - 194 = 0, 4*k - p - 104 - z = 0. List the prime factors of k.
3, 11
List the prime factors of -269*-2*(-4 - (-36)/8).
269
Let k be (18/(-12))/(-1 - (-9)/6). Let j(n) = n**3 + 5*n**2 + 4*n. List the prime factors of j(k).
2, 3
Suppose -2*w = -13 + 3. Let l(c) = 39*c - 23. What are the prime factors of l(w)?
2, 43
Let w = 816 + -502. Suppose 0*b + 5*u + 616 = 2*b, b - 4*u - w = 0. List the prime factors of b.
2, 149
Let v be ((-1026)/15)/((-12)/30). Let g = v - 106. Let l = 100 - g. What are the prime factors of l?
5, 7
Let h be (1 - 2)/((-4)/24). Let g be 89/h + (-4)/(-24). What are the prime factors of 1 + g + (6 - 2)?
2, 5
Suppose -3*o + 19 = 7. Suppose -3*k - s + 62 + 43 = 0, -2*s + 142 = o*k. List the prime factors of k.
2, 17
Suppose 0*b - 286 = -b. Suppose 0*x + b = 4*x - 3*j, 3*x + 4*j = 227. List the prime factors of x.
73
Let l(q) = 10*q**2 - 55*q - 470. What are the prime factors of l(-13)?
3, 5, 43
Let s(x) = -x**2 - 5*x + 3. Let m be ((-2)/(-5))/(3/(-45)). Let r be s(m). Let u(y) = 3*y**2 + y - 1. List the prime factors of u(r).
23
Suppose -166*k + 55860 = -147*k. List the prime factors of k.
2, 3, 5, 7
Let n be (-17)/15 + (-8)/(-60). Let x be 313 - n - (0 - -4). List the prime factors of x/(-15)*(-3)/2.
31
Suppose 0 = 4*a - 29 - 7. Suppose 5*r - 20 = 0, j + a*r = 4*r + 23. List the prime factors of (114/3 - j) + -1.
2, 17
Let k = 77 - -84. List the prime factors of k.
7, 23
Let w(x) = 2*x**2 - x + 3. Let s be w(5). Suppose q - 38 = s. What are the prime factors of q?
2, 43
Let i be -2 - (-4 + 4 + -2). What are the prime factors of 10*(i - 3/(-5))?
2, 3
Let j(t) = -508*t - 100. List the prime factors of j(-3).
2, 89
Let j(s) = s + 6. Let n be j(-4). Let x be n/(((-24)/(-15))/4). Suppose -1 = a + x*b - 25, -16 = -a - 3*b. List the prime factors of a.
2
Suppose -14*f + 10*f - 124 = 0. Let j = 33 + f. Suppose -p - 33 = -3*g + j*p, 5*g + 3*p = 55. List the prime factors of g.
11
Let y(o) = -2*o**3 + 7*o**2 - 6*o - 57. What are the prime factors of y(-8)?
7, 11, 19
Suppose -c + h = -45 - 27, 4*h - 280 = -4*c. Suppose 2*z = 0, t + 43 = 2*z + z. Let g = c + t. List the prime factors of g.
2, 7
Suppose -7 = -42*z + 43*z. Let o(j) = -10*j + 3. List the prime factors of o(z).
73
Let n = -15 + 19. Suppose -n*p + 735 = 23. List the prime factors of p.
2, 89
Let j be (-2)/((-11)/((-4565)/10)). What are the prime factors of (3 + j)/(18/(-27))?
2, 3, 5
Let b = -147 - 117. Let r = b + 386. What are the prime factors of r?
2, 61
Let t be ((-18)/27)/((-2)/534). Let f = t - 30. Suppose -4*a - z = a - f, -3*a = 5*z - 102. What are the prime factors of a?
29
Suppose -5*a - 173 = -2*t, -2*t + 7*t + 13 = -a. Let f = a - -18. Let i = f - -33. What are the prime factors of i?
2, 3
Suppose -4*n = n + 10, 14 = -2*w - 2*n. Let h(g) = -30*g - 15. Let l be h(w). What are the prime factors of (l/(-10) - 3)*-2?
3, 11
Suppose 20 = 4*c + 8, 3*r = -4*c + 42. Suppose r*b - 502 = -162. What are the prime factors of b?
2, 17
Let o(f) = -1 - 2 - 9*f + 3. Let k(g) = -g**3 + 10*g**2 - 2*g + 18. Let p be k(10). List the prime factors of o(p).
2, 3
Let v(b) = 2*b**2 + 19*b + 37. List the prime factors of v(13).
2, 311
Let j be ((-30)/9)/5*-318. Suppose 0 = s + 41 - j. What are the prime factors of s?
3, 19
Suppose -280 = 10*v + 300. Let j = 102 + v. List the prime factors of j.
2, 11
Suppose 4*c - 10 - 6 = 0. Suppose c*h + 4*x - 568 = 0, 132 - 2 = h - 5*x. Suppose -h = -5*j - 3*f, 0 = 5*j - 2*f - 96 - 69. What are the prime factors of j?
31
Let l be (0 + -13)*(7 - 8). Suppose -754 = -l*k - 0*k. What are the prime factors of k?
2, 29
Suppose -h - 3*k = -17, 3*k = 3 + 3. Suppose -2*t = -133 - h. What are the prime factors of t?
2, 3
Suppose 3*i + 5*a - 184 = 0, -2*a + 0*a + 128 = 2*i. List the prime factors of i/10*(-6 + 16).
2, 17
Suppose 5*f + 2*s = 77 - 20, 5*f + s = 61. Suppose 9*u - f*u = 24. What are the prime factors of -3*4/u + 27?
29
Suppose 0 = -2*c - 3*n + 1018, 2056 = 4*c + 3*n - 2*n. What are the prime factors of c?
5, 103
Let q be 2/(-10)*(8 - 13). Let o be (q + 1)/(26/(-91)). Let s = o + 52. What are the prime factors of s?
3, 5
Let x be (-9)/(-9) - (2 - 3). Suppose -3*f - m = -101, 2*f = -x*f + 5*m + 122. List the prime factors of f.
3, 11
Let u be ((-18)/(-8))/(4/(-16)). List the prime factors of u + 5 - -53*1.
7
Suppose 0 = -4*v - 2*v - 126. List the prime factors of (75/45)/((-1)/v).
5, 7
Let y = -15 + 11. Let i(f) = -15*f - 16. What are the prime factors of i(y)?
2, 11
Let c = 6629 - 4578. What are the prime factors of c?
7, 293
Let s(x) = 20*x + 1. Let r be s(-9). Let j = -49 - r. List the prime factors of j.
2, 5, 13
What are the prime factors of 17635/7 + (-32)/112?
11, 229
Let i(d) = -62*d + 33. Let c(m) = 21*m - 11. Let g(f) = -11*c(f) - 4*i(f). What are the prime factors of g(7)?
2, 3
Suppose 7*q - 2*q - 2675 = 0. What are the prime factors of q?
5, 107
Let q = -270 + 662. List the prime factors of q.
2, 7
Let o be -33*(40/12 - 5). Suppose -o = -2*d - 37.
|
{
"pile_set_name": "DM Mathematics"
}
|
is the closest to -1? (a) v (b) -3 (c) 1/11 (d) 0.17
c
Let r = 93 - 98.1. Let g = 0.5 - -4.5. Let x = r + g. Which is the closest to x? (a) 1 (b) 3 (c) 2/5
c
Let d = -1.34 + 6.34. Which is the closest to -2/3? (a) d (b) -0.48 (c) -3
b
Let w = -425 - -426. Let g = -7 - -12. Which is the nearest to -2? (a) g (b) 0.2 (c) w
b
Let t(f) = f**2 + 13*f + 14. Let i = -12 - 0. Let q be t(i). Which is the nearest to 2/9? (a) -2 (b) -0.1 (c) q
b
Let n = 24.37 - 24.57. Let u = -5.7 - -6. Which is the nearest to 1? (a) u (b) n (c) 2/9
a
Let d = -18 - -20. Let j = -10 + 9.9. What is the closest to j in 0.4, -2, d?
0.4
Let r = 4 - 3.9. Which is the closest to r? (a) -1/6 (b) 14 (c) -2/3
a
Let q = -1285 + 6402/5. Let o = q - -22/5. Which is the nearest to -1? (a) o (b) 5 (c) -1/2
c
Let i = 85 - 171/2. Let q be ((-1)/3)/((-4)/72). Which is the closest to i? (a) -5 (b) -4/7 (c) q
b
Let w be 7 - (-3 - -2 - 0). Let g = w - 13. Which is the closest to 1? (a) 5 (b) 2/5 (c) g
b
Let d = 0.05 + -0.35. Let l = 223 - 667/3. Which is the closest to 1/8? (a) 0 (b) l (c) d
a
Let p = -0.0483 - 0.3517. Which is the closest to -1? (a) 10 (b) p (c) 1 (d) 2/11
b
Let t = 81 + -80. Let n = -173 - -170. Which is the closest to t? (a) n (b) -0.1 (c) -0.4
b
Let l = 29 + -29.2. Let q = 3.08 - 0.08. What is the closest to 0.1 in l, q, -4?
l
Let x be 3/(2/((-8)/(-15))). Let l = -259 - -262. What is the nearest to 0.1 in x, -1, l?
x
Let t = -4.8 + 0.8. Let f = -1/240 - -121/240. What is the closest to 1 in t, 3, f?
f
Let p = 27.8 + -28. Which is the nearest to 1.11? (a) p (b) -0.5 (c) -2/11
c
Let f be ((-6)/(-7))/(15/350*5). What is the nearest to f in -0.2, -4/9, 4, 0?
4
Let v = -0.7 - 0. Let g = -2.7 - v. Which is the nearest to g? (a) 5 (b) 0.3 (c) -1
c
Let s = 5 - 4. Suppose -12*l - 12 = -10*l. Let t(o) = o**3 + 7*o**2 + 7*o + 5. Let g be t(l). What is the closest to g in 0.1, 2, s?
0.1
Let h = 0 - 2. Let w be 2/7 - ((-1485)/(-126) - 12). Which is the closest to h? (a) -4 (b) w (c) 5
a
Let j(h) = -h**2 + 5*h + 60. Let r be j(-6). Which is the closest to -3? (a) r (b) -3 (c) 0.2
b
Let v(w) = -2*w**3 + 6*w**2 - 9*w + 30. Let d be v(4). Which is the closest to -1? (a) d (b) 1/2 (c) -2
c
Let h = -0.35 - 1.95. Let y = 1.7 + 0. Let z = h - y. Which is the nearest to 1? (a) -2 (b) z (c) 0.05
c
Let p = 0.1 + 2.3. Let l = -0.4 + p. Let c(s) = -s**3 + 27*s**2 - 28*s + 48. Let o be c(26). What is the closest to -0.2 in l, 4, o?
l
Let h = -1257 + 1181.02. Let f = 76 + h. What is the nearest to f in 2, -3/2, 2/7?
2/7
Let v = 0.0876 + 0.0124. Which is the nearest to -0.5? (a) -2 (b) -0.4 (c) -1 (d) v
b
Let l = 6 - 6.25. Let k = -4.75 + l. Let g = 1.3 + -0.3. What is the closest to g in 4, k, 0.1?
0.1
Let f = 5273/306 - 292/17. Which is the closest to 2/15? (a) -0.5 (b) f (c) -0.1 (d) 2/11
d
Suppose -22 = 11*p + 11. Let h be 7 + (-1 + p)/2. Let y = -1.9 - -2. What is the closest to y in 2/3, 2, h?
2/3
Let y = -2.3 - -2. Let q = y + 0.9. Let k(r) = r + 19. Let p be k(-14). Which is the nearest to q? (a) -0.3 (b) p (c) 2/7
c
Let t = 1601/3 + -535. What is the closest to -2/9 in -0.2, t, 4?
-0.2
Let h = -0.06 + 0.06. Let t = 22 + -24.2. Let z = t + -0.8. Which is the closest to z? (a) h (b) 1 (c) 4
a
Let o = -0.057 + 0.357. Let v = 19 + -13. Let n = 6 - v. What is the nearest to n in o, -3/4, -4?
o
Let m(z) = z**3 + 7*z**2 - 8*z - 5. Let q be m(-8). Let r be 0*((-25)/15 - (-16)/12). Which is the closest to 2? (a) 6 (b) r (c) q
b
Let m = -0.6 - -0.6. Suppose -t - 39 = 5*h, 75 = -4*t + 2*h - 59. Let u be (-7)/21 + t/(-30). Which is the nearest to m? (a) -2/13 (b) u (c) 2/19
c
Let i be (-115)/138 + (-1)/6. Let k be ((-4)/(-102))/((-12)/36). What is the nearest to 2/5 in i, k, -2/15?
k
Let w = 199 - 197. What is the closest to -3/10 in -0.3, w, -5?
-0.3
Let k be 455/39*2/14. Which is the closest to 1/2? (a) 0.2 (b) k (c) 0.4 (d) -5
c
Suppose 3 = -3*q + 9. Let g(j) = j**2 - 4. Let w be g(q). Which is the closest to 1/12? (a) w (b) -2 (c) 3
a
Let a = 197.5 - 199.2. What is the nearest to 0.1 in 5, -0.1, a, -0.3?
-0.1
Let k = 10 + -5. Let x = -0.28 - 0.22. Which is the nearest to 0? (a) -2/17 (b) k (c) x
a
Let t = -0.376 + 0.476. Let r = 40 - 40.38. Let i = r + -0.02. Which is the nearest to t? (a) 3 (b) i (c) -0.1
c
Suppose 0 = 2*v - 6*v + 16. Let y be -2 + 2 - (-2)/v. Let q = 1.027 + -0.027. Which is the closest to q? (a) 2 (b) -2/5 (c) y
c
Let y = -3.153 - -0.153. Which is the nearest to -1/2? (a) -1 (b) 1/6 (c) 9 (d) y
a
Let v = -692.9 - -693. What is the nearest to 1/13 in v, -3, 2/9?
v
Let z(v) = -v**3 + 2*v**2. Let y be z(2). Let i = 12 + -12.21. Let d = i + -0.09. Which is the closest to y? (a) 1 (b) 4 (c) d
c
Let j = 65.2 - 106. Let o = -41 - j. Which is the closest to o? (a) 1/5 (b) -5 (c) 3
a
Suppose 4*c + c = 15. Let i = 151 + -149. Suppose 0*y + y - 1 = -i*r, 0 = 4*r + 3*y - c. What is the nearest to -0.1 in -0.4, 2/3, r?
r
Let g = -140 - -143. What is the nearest to g in -2, -4, -1.3?
-1.3
Let p = -24.44 + 23.44. Which is the nearest to p? (a) 3/13 (b) 5 (c) 0.3 (d) -13
a
Let b = -5 - 0. Let x = -2.6 - -2.5. What is the nearest to x in b, 2/7, 10?
2/7
Let q = 0.2 - -4.8. Let k = -232/5 - -46. Let n = -1.0563 + 0.0563. Which is the nearest to n? (a) q (b) 0 (c) k
c
Let h = -0.6 + 0.72. Let t = 1.07 - 3.19. Let i = t + h. Which is the nearest to i? (a) -0.3 (b) -4 (c) -0.1
a
Let u be ((-10)/(-50))/((-4)/(-10)). What is the closest to u in -5, 0.2, -3?
0.2
Let s = -355/484 - 2/121. Let p = 74/1425 + 4/75. What is the closest to 3/10 in p, s, -1?
p
Let h = 3 - 3. Let f = 15.6 - 15. Let t = f - 1.6. Which is the closest to t? (a) 3 (b) h (c) 2/5
b
Let b(j) = -j**2 + 5*j + 83. Let c be b(-7). What is the nearest to 1 in -0.5, c, 0.3, -45?
0.3
Let s = 326 + -325.8. Let j = -5.1 - -5. What is the closest to j in s, 2/9, 0.1?
0.1
Let p be -9 - (-255)/25 - 4/(-5). Which is the closest to 0? (a) -1/4 (b) 0.1 (c) -5 (d) p
b
Let n = -67.7 - -0.7. Let p = -67.1 - n. Which is the nearest to p? (a) -0.35 (b) 3 (c) 0.4
a
Let y(j) = j**3 - 17*j**2 + 49*j + 39. Let t be y(13). Which is the closest to t? (a) -32.7 (b) 4/7 (c) -0.2
c
Let o = -1766 - -1763. Let l = -0.2 + 2.2. Which is the closest to 0.1? (a) o (b) l (c) -2
b
Let k(l) = -l + 1. Let u(t) = -1. Let w(z) = -k(z) - 3*u(z). Let y be w(2). What is the closest to 2 in 5, 1, y?
1
Let p = -2.6 - -2.9. Let k = -265 - -261. Which is the nearest to p? (a) -6 (b) 5 (c) k
c
Let n = 0.17 - 0.02. Let m = 0.05 + n. Let y = 1/94 + -49/188. Which is the closest to y? (a) 1 (b) -1 (c) m
c
Let o = 325.9 - 330.9. Let x = 0 + 10. Which is the closest to x? (a) 0.1 (b) o (c) 1/6
c
Suppose -42 = 13*i + 10. Let u be (i/16)/((-1)/2). Suppose -4*n = -n + 6. Which is the closest to u? (a) -3/2 (b) 0.3 (c) n
b
Let w = -601/104 + 45/8. What is the nearest to w in 2, 0, -5, -1/3?
0
Let y be (0 + 1)*(-1)/3. Let q = -25.57 + 27.4. Let b = q - 1.83. What is the closest to b in 1/4, y, 2?
1/4
Let o(y) = 2*y**2 - 5*y - 7. Let q be o(5). Let g be (2/q)/(2/(-6)). Let l(s) = s + 15. Let p be l(-11). What is the closest to 0 in 2, g, p?
g
Let o = 2148 - 2148.1. Which is the nearest to o? (a) -0.5 (b) 4 (c) -0.3 (d) 2
c
Let y = -36 - -36. Suppose 4*z = -2*n + z + 4, z - 3 = n. What is the closest to y in 0, n, 0.4?
0
Let d = 17/33 + -1/66. Let p = 20 + -20.1. Which is the nearest to -0.1? (a) p (b) d (c) -2/11
a
Let n(i) = -i**3 + 11*i**2 - i + 9. Let w be n(11). Let g be -1*(-7)/(-5) + 28 + -26. Which is the closest to w? (a) 5/4 (b) 4 (c) g
c
Let z = -4 - 1. Let i = z + 9. Let x be (-2 - -7) + (-259)/49. What is the nearest to x in i, 0.2, -0.1?
-0.1
Let j = 1.89 - 10.89. Which is the closest to 1/6? (a) 1 (b) 1/11 (c) j
b
Suppose 0 = -10*j + 12*j - 6. Let r = -1.3 + 3.3. Which is the nearest to 1? (a) -6 (b) r (c) j
b
Let h = 53 - 21.5. Let i = -32 + h. Which is the closest to 0.2? (a) -1 (b) -1/6 (c) i
b
Suppose -8 = -4*y, -5*y = -5*f + 2*f + 2. Let w = f + -1. Suppose -r - w*r = 0. Which is the nearest to 0.1? (a) 5 (b) 1 (c) r
c
Let k be 11/(11/2) + -63. Let d = -1039/17 - k. Which is the nearest to 1? (a) -1/22 (b)
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 0 + 4*t + 3*t**4).
-9*t**5 - 12*t**2 + 3*t
Expand (4*l - 5*l - l + l**2)*(13*l + 21*l + 0*l).
34*l**3 - 68*l**2
Expand (-1 + 1 + 1 - 1 + 3 - 1 + 1 - 3 + 4 + 2 - 3 + 0 + (0 + 1 + 1)*(4 - 3 - 2))*(2*n**5 - 2*n**5 + 2*n**5).
2*n**5
Expand -4*k**3 - k**3 + 4*k**3 + (-k**2 - k**2 + k**2)*(6*k - 3*k - 2*k) - 2*k**3 - 3*k + 3*k + (0*k**2 - 6*k**2 + 4*k**2)*(-89*k + 23*k - 103*k).
334*k**3
Expand (4*l**2 + 0*l**2 - 7*l**2)*(9*l + 0*l**2 - 6*l - l**2).
3*l**4 - 9*l**3
Expand (4*c**2 + 3*c**2 + 0*c**2)*(0 + 0 + 2*c)*(0 - 5 + 3).
-28*c**3
Expand (3 + 4 - 6)*(-5*n + 5*n + 6*n**2 + 0*n + 2*n**2 + 0*n + (3*n - 3*n + 2*n**2)*(0 + 0 + 2) - 2*n**2 + 1 - 1 - 4*n**2 + 4*n**2 - 2*n**2).
8*n**2
Expand -o**3 + 2*o**3 + o**3 + 2*o**3 - o**3 - 5*o**3 - 2*o**3 - 2*o**2 + 2*o**2 + o**2 - o**2 - o**3 + (-o + o + o)*(2*o - 2*o + 2*o**2).
-3*o**3
Expand -100 + 100 - 6*n**3 + (0*n + 0*n + 2*n**2)*(-3*n + 0*n + n).
-10*n**3
Expand 0*l**2 + l**2 - 3*l**2 + (-2 + 0 + 0)*(-4*l**2 + 9*l**2 + 4*l**2).
-20*l**2
Expand (-2*r + r + 0*r)*(3*r**3 - 2*r**2 + 5*r**2 - r**2).
-3*r**4 - 2*r**3
Expand -2*o**2 - 6*o**2 + 5*o**2 + (-2*o + o + 0*o)*(4 - 2*o - 4) + (0 + 2*o + 0)*(2*o + 2*o - 2*o).
3*o**2
Expand 7*o**4 - 15*o**4 - 17*o**4 + (0*o**3 + 3*o**3 - 5*o**3)*(-o + 2 - 2).
-23*o**4
Expand (2*s**4 + s**4 - 2*s**4)*(3*s - 43*s + 6*s).
-34*s**5
Expand ((-u - 3*u + 5*u)*(-4*u + u + u) - 4*u**2 - u**2 + 4*u**2)*(0 + 2*u**2 + 0)*(-2 - 2 + 5).
-6*u**4
Expand (7 - 13 - 19)*(0*p - p + 2*p).
-25*p
Expand -1 - 2*a**5 + 1 + 2*a**5 + a**5 - a**5 + (a**4 - 2*a**3 + 2*a**3)*(2*a + 1 - 1) + 2*a**5 + 0*a**5 - a**5 + (-4*a**2 + 5*a**4 + 4*a**2)*(2*a + 0*a - 3*a).
-2*a**5
Expand 2*t**3 + 3*t - 3*t + (-4 + 5 + 1)*(0*t**3 + 4*t**3 - 3*t**3).
4*t**3
Expand (5*c**2 - 5*c**2 + 2*c**3 + 5)*(2*c**2 - 3*c**2 + 2*c**2 - 1 - c**2 + 1 + (2*c + 0*c - 3*c)*(-c + 3*c - c)).
-2*c**5 - 5*c**2
Expand (-3 + 1 + 1 + 3*c)*(0*c**2 + 0*c**2 - 3*c**2).
-9*c**3 + 3*c**2
Expand -1226*b + 1226*b + 2*b**4 + (-4*b**2 + b**2 + b**2)*(2*b**2 + 0 + 0) + 1 - b**4 - 1 - 2*b - 2*b**4 + 2*b.
-5*b**4
Expand (-p**2 + 0 + 0)*(5*p - 4*p - 2*p) + 3 - 3 - 2*p**3 + 54*p**3 - 24*p**3 - 36*p**3 + (-p**3 - 5*p**3 + 4*p**3)*(0 + 0 - 2).
-3*p**3
Expand (-m**2 - 1 + 1)*(0 + m**2 + 0) + 18*m**4 - 27*m**4 + 7*m + 13*m**4.
3*m**4 + 7*m
Expand (2*l - 3*l + 3*l)*(2 - 2*l - 2 + (-l + 3 - 3)*(-5 + 6 - 4)).
2*l**2
Expand (0 + 0 - 2*c**2)*(4*c - c - c + (-1 - 1 + 4)*(-c + 3*c + 0*c)).
-12*c**3
Expand (0*v**3 + 0*v**3 + 2*v**3)*(-v**2 + 2*v - 2*v) + (-4*v**5 + 4*v**5 - 2*v**5)*(0 - 3 + 5).
-6*v**5
Expand (-2*r**2 + 2*r + 2 + 4*r**2 + r**2)*(6*r**2 - 16 + 16).
18*r**4 + 12*r**3 + 12*r**2
Expand -9*t**3 + 26*t**3 + 15*t**3 + (-3*t + 2*t + 3*t)*(-t**2 - 2*t**2 + 2*t**2) + t**3 - 2*t**3 - t**3 + 0*t**3 + 2*t**3 - 3*t**3.
27*t**3
Expand (0*d + 5*d + 0*d)*(3*d + 2*d**2 - 3*d) + 0*d**3 + 0*d**2 - 2*d - 2*d**3 + 2*d**2.
8*d**3 + 2*d**2 - 2*d
Expand 3*q**5 - 2*q**5 + 0*q**5 + (-4*q**4 + 23*q**4 + 5*q**4)*(-1 - 3*q + 1).
-71*q**5
Expand (1 - 2*f**2 - 1)*(0*f**2 + 4*f**2 + 5*f**2)*(f - 3*f + 0*f).
36*f**5
Expand (-3*v - 5*v + 6*v)*(7 + 6 - 6)*(0 + 1 - 3)*(-2*v + 2*v**2 + 2*v).
56*v**3
Expand (-3*h + 3*h - 2*h)*(1 + 0 + 1) - 4*h - 3*h - 1 - h.
-12*h - 1
Expand -2*o**3 - o**3 + 2*o**3 + (o**2 + o**2 - 3*o**2)*(-1 + 1 + o) - 2*o + 2*o - 2*o**3.
-4*o**3
Expand (2*t**2 - 3 + 3 + (-3 - 5*t + 3)*(0 + 0 - t))*(t**3 - 2*t**3 + 2*t**3).
7*t**5
Expand (-2*m**2 + 2*m**2 + m**3)*(-2*m - m + 5*m) + 3*m**4 - 5*m**4 + 4*m + 0*m**4 + (4*m - 4*m + 2*m**3)*(-m + 3 - 3).
-2*m**4 + 4*m
Expand 3*y + 0*y - 2*y + (-4 + 4 + y)*(4 - 3 + 0) - 3*y - 2*y + 4*y + (-3 + 3 + 4*y)*(-7 + 4 - 1).
-15*y
Expand (-9*q**2 + 0*q**2 + 0*q**2)*(-3 + 3 + 2)*(q - 7*q + 0*q).
108*q**3
Expand (-3*t + 2*t**2 + 3*t)*(-19*t - 13*t + 24*t + 2)*(4 + 0 - 3).
-16*t**3 + 4*t**2
Expand -3*n**2 + 0 + 0 + (1 - 9 + 1)*(-2*n**2 - 2*n**2 + 2*n**2).
11*n**2
Expand 2*g**3 - 2*g**3 + g**4 + (0*g + 0*g + g**2)*(2*g - 2*g + 3*g**2) + (-41*g**2 + 1436*g - 1436*g)*(-2*g**2 + 4*g**2 + 0*g**2).
-78*g**4
Expand -c**3 - c**3 + c**3 - c**3 - 16*c + 2*c**3 + 17*c + (-1 - 2 - 1)*(3*c**2 - 2*c**3 - 3*c**2).
8*c**3 + c
Expand (k - 1 + 1)*(-34 + 12 - 7 - 30).
-59*k
Expand ((1 - 1 - j)*(-3 - 1 + 2) - j + 3*j + 0*j - 3*j + 2*j - j)*(12 - 12 - 3*j).
-6*j**2
Expand (0*a - a**4 + 0*a)*(-14 + 3 + 25)*(-3 + 1 + 3).
-14*a**4
Expand 3*i - 6*i + 4*i + 6*i + 5*i - 3*i + (-4 + 2 + 0)*(-i - 3*i + 2*i).
13*i
Expand (-8 - 10*m + 8)*(4 - 3 + 0)*(0 - 2 + 1).
10*m
Expand (-45 + 45 + 5*k)*(3*k - k**2 - 3*k + (-4*k + 2*k + k)*(-k - 3*k + 2*k) + 2 - 2 + 2*k**2 + k + k**2 - k - 2*k + 2*k - 2*k**2 + 2 + 2*k**2 - 2).
20*k**3
Expand (-2 - 17 + 1)*(g**3 + 2*g**2 - 4*g**2 + 0*g**3).
-18*g**3 + 36*g**2
Expand (4*t - 2*t - 4*t)*((-2 + 3 - 2)*(-1 - 2 + 4) + 5 - 4 + 1 + 1 + 3 - 5 + 2 - 1 + 0 + 8 - 12 - 9).
24*t
Expand (3 - 3 + 4)*(-2 + 4*v + 2*v - 4*v + 4*v - 3*v + v + (1 + 2*v - 1)*(4 + 3 - 5) + 0*v + 2*v - 4*v).
24*v - 8
Expand (3*c**2 - 3*c**2 - c**2)*(-3 - 1 + 1)*(0 + 3 - 2)*(-3 + 4 - 5).
-12*c**2
Expand (-2*d**3 + d - d)*(2 - 2 - 1)*(-4 + 4 - 3).
-6*d**3
Expand (3*h - 2*h - 2*h + (5 - 4 + 1)*(-2*h + 0*h + 4*h))*(0*h - h - h).
-6*h**2
Expand (v - 2*v - 2*v)*(2 + 0 - 1 + (-3 + 0 + 6)*(-1 + 0 + 2)).
-12*v
Expand (2*b**2 + 2*b**3 - 2*b**2)*(-b - 7*b + 2*b)*(-4 - 2 + 2) - b**4 + 0*b**2 + 0*b**2.
47*b**4
Expand (-3*x + 5*x - 3*x)*(0 + 3 - 1) + (6 - 3 + 0)*(-3*x + 2*x - 2*x).
-11*x
Expand (-y**3 + 5*y**3 - 2*y**3)*(3 - 6 + 1) + (-4*y + 3*y + 0*y)*(0*y**2 + 4*y**2 - 3*y**2).
-5*y**3
Expand (2 + 1 - 2)*(-3*h + h + 3*h) + (2 - 2 - 2)*(2*h - h - 2*h).
3*h
Expand (z + z + 0*z)*(-1 - 1 + 0) - 6*z - 34 + 34 + (-2*z - z + 2*z)*(1 - 4 + 1).
-8*z
Expand (-2 + 5 - 1)*(2 - 1 + 9)*(p + 0 + 0).
20*p
Expand (1 - 1 - 1)*(10*p**3 - 5*p**3 - 10*p**3)*(-4*p**2 + 3*p**2 + 1 + 3*p**2).
10*p**5 + 5*p**3
Expand (r**2 - 4*r**2 + 4*r**2)*(-3*r + 6*r - 2*r)*(-2 - 1 - 2).
-5*r**3
Expand (-2*d - 3*d + 6*d)*(75*d**4 + 121*d - 121*d).
75*d**5
Expand -c**2 + 0*c**2 - 10*c**3 - c**2 + (-c + 2*c**3 + c)*(-5 + 0 + 4).
-12*c**3 - 2*c**2
Expand (1 + 1 - 1)*(c + 4 - 4) + 421 - 421 - 30*c.
-29*c
Expand (215 + 11*p - 215)*(p - p + p)*(-2*p + 3*p + p).
22*p**3
Expand (8 - 8 - 8*f)*(0*f**2 - 4*f**2 + f**2).
24*f**3
Expand (-6 + 4*y + 6 + (3*y + y - 3*y)*(5 - 1 - 2))*(0 + 1 - 3).
-12*y
Expand (-2 + 4 - 1 + (-1 - 1 + 3)*(-2 - 2 + 2))*(-2*y**5 - 2*y**5 + 2*y**5).
2*y**5
Expand (-3 + 4 - 3)*(2*o**5 + 0*o**5 + 0*o**5) - 3 + 69*o**3 - o**5 - 69*o**3.
-5*o**5 - 3
Expand -2*u**4 + 50*u + u**4 - 14*u + (2 - 2 + u**2)*(u**2 + u**2 - 4*u**2).
-3*u**4 + 36*u
Expand 0*h**5 + 0*h**5 + 5*h**5 + 0 + 0 + h**5 + (4 + 1 - 6)*(-12*h**5 + 27*h**5 - 11*h**5).
2*h**5
Expand -2*s**2 - 2*s**2 + 2*s**2 + (5*s + 2*s - 5*s)*(-1 - 3*s + 1).
-8*s**2
Expand (5*z**3 - 4*z**3 - 2*z**3)*(3*z + 2*z - 4*z) + (11*z**2 - 4*z**2 + 2*z**2)*(-4*z + 2*z + z)*(7*z - z - 3*z).
-28*z**4
Expand (64 - 12*f - 64)*(2 + 4 - 4).
-24*f
Expand (5*n**2 - 5*n**2 + 3*n**3)*(3 - 3 - n**2) + (2*n**3 + 2 - 2)*(n**2 + 3*n - 3*n) + 0*n**5 + n**5 - 4*n**5.
-4*n**5
Expand -3*l**2 - l**2 + 3*l**2 + (1 - 2 + 2)*(0 + l**2 + 0 + (-l + 0*l + 0*l)*(-6*l - 8*l + 10*l)).
4*l**2
Expand (26 + 39 - 23)*(0 - p + 0).
-42*p
Expand (-21*i**3 + 11*i**3 + 5*i**3 + 3)*(0*i**2 + 3*i**2 - i**2).
-10*i**5 + 6*i**2
Expand (-6*o + 3*o - 5*o)*(-2*o**2 + 3*o**2 + o**2) + 1 + 2*o**3 - 1.
-14*o**3
Expand (0 - 1 + 4)*(22*i + 2*i + 10*i).
102*i
Expand (-4 + 4 + 2*l)*(5 + 1 - 4)*(0*l - l + 2*l).
4*l**2
Expand (2*q**4 + 2*q - 2*q)*(-2 + 4 - 3) + 2*q**4 + 4*q**4 + 0*q**4.
4*q**4
Expand (x**3 - 5*x**3 - 2*x**3)*(-94 - 25*x + 94).
150*x**4
Expand (1 - 1 - 5*h**2)*(-2*h + 0*h + 4*h + (3 - 3 - h)*(4 - 3 + 3)).
10*h**3
Expand (s - 4 + 4)*(5*s + 4*s - 4*s) - 6*s**2 - 12*s**2 + 6*s**2.
-7*s**2
Expand (-1 + 2 - 2)*(0*j + 2*j - 24 + 25).
-2*j - 1
Expand (-3 - j + 3)*(-2 + 2*j - 7 + 8) + (3 - 5 + 1)*(3*j**2 + 0*j + 0*j).
-5*j**2 + j
Expand (-9*d - 7 + 7)*(3 + 7*d - 4 + 3*d).
-90*d**2 + 9*d
Expand 0*b**2 - 2*b**2 + 3*b**2 + (3 - 3 - b**2)*(-2 - 2 + 2) + (4 + 2 - 2)*(-1 + 1 + b**2).
7*b**2
Expand (14 + 0 + 0)*(3*q**2 - 3*q**2 - 4*q**3).
-56*q**3
Expand (3*r + 0 + 0)*(82*r - 2 + 6 - 74*r).
24*r**2 + 12*r
Expand (5 - 2 - 4)*(-84 + 17*o**3 + 84).
-17*o**3
Expand (-6*a + 2 + 6*a**2 + 5*a**2 - 13*a**2)*(-5 + 3 + 0).
4*a**2
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let d be t(2). Suppose 6*c = -d - 20. Let x(p) = 38*p**2 - 4*p + 5. Is x(c) composite?
True
Let h = -18 + 18. Suppose 5*w - 9680 = -0*w + z, h = -w - 4*z + 1915. Let n = 3052 - w. Is n a prime number?
True
Let k = 43 - 27. Suppose -s = 3*p - 10, 0 = -4*s + 2*s + 3*p - k. Is (-2 + -584)*1/s prime?
True
Suppose -3*c + 4432 = -c + u, 2*u - 8 = 0. Let f(s) = s**3 + 15*s**2 + 8*s - 23. Let b be f(-13). Suppose -c - b = -5*d. Is d prime?
False
Let z(a) = -a + 11. Let h be z(0). Let v = h + -40. Let m = -18 - v. Is m composite?
False
Suppose s = 7*s - 12. Suppose -s*o + 5*h = 340 - 1254, 5*o - 4*h = 2319. Is o prime?
True
Let v = -115 - -117. Suppose -4*f + 90 = -f. Suppose 0 = -v*j + 16 + f. Is j a composite number?
False
Let j = 3184 - 1823. Is j a composite number?
False
Is (11/33)/(19886/9942 + -2) prime?
True
Let f = 24 - 18. Suppose f*i + 0*i = 5274. Is i a composite number?
True
Let c be 3 - 0 - (0 - 1). Suppose 4*y = 5*d - 2734, c*d - 2*y = -6*y + 2216. Let b = d - 371. Is b a prime number?
True
Suppose -3*u + 1163 = -2*t, -4*u + 0*u + 5*t = -1539. Is u prime?
False
Let x = 5 - 1. Let g be (2 - 12/8)*x. Suppose 530 = g*z + 3*z. Is z a prime number?
False
Let p(j) = j - 1. Let l(a) = -618*a. Let z(n) = l(n) + 2*p(n). Is z(-1) a composite number?
True
Let t(r) = r**3 + 3*r**2 - 10. Let f be t(-2). Suppose j + 127 = 2*j. Let g = f + j. Is g a composite number?
True
Let x = -2 + 7. Suppose -2*s = x*a - 2, 3*s = -a + 3 - 0. Suppose u - 223 - 250 = a. Is u composite?
True
Suppose 0 = 2*g + 3*z - 38 - 108, -5*z - 86 = -g. Suppose 0 = 5*c - 99 - g. Let j = -2 + c. Is j composite?
True
Let j be 4/(-6) - 4/((-48)/(-1108)). Let k = 1084 + j. Is k a composite number?
False
Let q = 6 + -1. Suppose -q*r - d + 390 = -6*d, 0 = 4*r + 2*d - 300. Suppose -280 = -4*z + r. Is z a prime number?
True
Suppose 8*h - 6*h + 430 = 0. Let n be 4/2 - 3 - h. Let b = n + -96. Is b a composite number?
True
Suppose -s + 2*a = -7, 0 = -3*s - 0*s + 5*a + 19. Suppose -s*l + 0*l = -5541. Is l a composite number?
False
Suppose 5*u + 2242 - 21312 = 0. Is u prime?
False
Suppose -10*s - 5*d - 7945 = -14*s, -s - 4*d + 1981 = 0. Is s a composite number?
True
Suppose 22*r - 159420 + 15518 = 0. Is r a prime number?
False
Let m be (4122/(-36))/(((-3)/(-2))/(-3)). Suppose 5*n - 6164 = -m. Is n a prime number?
True
Let s(p) = 10 + 0 - p - 7. Let y be s(4). Is 62 - 2 - y - 2 a composite number?
False
Suppose -982 = 2*z - 7*g + 3*g, 0 = 2*z - g + 982. Is (z/(-4))/(8/32) composite?
False
Suppose -6 = l - 3. Is (646 - -1)*l/(-15)*5 a composite number?
False
Let p be (-4 + -2)/((-6)/(-4)). Let q(j) = 7*j**3 + 9*j**2 - j - 1. Let o(a) = -3*a**3 - 4*a**2. Let u(v) = p*q(v) - 9*o(v). Is u(-5) a prime number?
True
Let p(w) = w**3 + 2*w**2 - 4*w - 12. Let i be p(-6). Let d = i - -226. Is d a composite number?
True
Let f = 7 - -1. Suppose 7 = q + 4*u - f, -3*q = 3*u - 18. Suppose -2*p = q*l - 295, 3*p + 4*l + 153 = 4*p. Is p composite?
False
Let d(r) = 28*r**3 - 6*r + 5. Let v be d(4). Let i = v - 422. Is i prime?
False
Suppose 0 = -4*q - 5*x + 1300, -2*q + 3*q + 3*x - 332 = 0. Let b = -65 + q. Suppose -5*u + b = -530. Is u composite?
False
Suppose 0 = -0*u - 2*u + 70. Suppose -2*x = -w + 6, 5*x = -w + u - 1. Is 597/4 + w/(-56) a prime number?
True
Let z be (-6)/(-18) - 33/(-9). Suppose 755 = 3*n - z*j, 6*n + j - 1266 = n. Is n composite?
True
Let t(z) = z**2 + 10*z + 12. Let p be t(-9). Suppose p*w = -4*x + 93 + 146, 0 = 5*w + 3*x - 413. Is (w/(-3))/((-6)/18) a composite number?
True
Let g = 145 + -137. Suppose -z - 2779 = -g*z. Is z a prime number?
True
Let i be 36/(-15)*(-20)/8. Suppose 0 = i*p - 5*p - 6. Suppose 3*n + 249 = p*n. Is n a composite number?
False
Suppose -4*i - f - 32 = -5, 3*f - 31 = 4*i. Let j(g) = g**2 + 7*g - 1. Let k be j(i). Is k/(-2 - 183/(-93)) composite?
False
Let n = -4485 + 7799. Suppose 4*d - y - 48 = n, -y + 1684 = 2*d. Is d a prime number?
False
Let i = -4252 - -6431. Is i composite?
False
Let f = 520 + -309. Is f prime?
True
Suppose -5*a + 17*h - 18*h + 8459 = 0, 5*a + 4*h - 8471 = 0. Is a a prime number?
False
Let d(w) = w**2 - 3*w - 6. Let j(f) = -4*f**2 + 8*f + 19. Let o(p) = 7*d(p) + 2*j(p). Let y be o(-3). Suppose y*n - 191 = 3*h, 3*n - 5*n - h = -179. Is n prime?
False
Is 10 + (-3)/1 + 16326 a prime number?
True
Let d(q) = -2*q**3 + 12*q**2 - 23*q - 39. Let b(m) = m**3 - 6*m**2 + 11*m + 19. Let r be (-43)/(-5) - 4/(-10). Let p(y) = r*b(y) + 4*d(y). Is p(7) prime?
True
Let v(m) = 4*m**2 - 67*m - 23. Is v(24) prime?
True
Suppose -10*y + 14*y - 40 = 0. Suppose -y*s = -14*s + 532. Is s a prime number?
False
Suppose -54*u - 29976 = -62*u. Is u a prime number?
False
Suppose -8*x = -13*x + 80. Suppose 5*t = t + x. Suppose i - t*i + 993 = 0. Is i a prime number?
True
Let g(f) = -2*f**2 - 5*f - 4. Let b be g(-2). Let r(d) = 65*d**2 - 2*d + 1. Is r(b) prime?
False
Let m = -2051 - -4698. Is m prime?
True
Is 502*(-117 - 1)/(-2 + -2) a prime number?
False
Suppose 10 = f + 34. Let o = 24 + f. Is (o + -7)*(-8 + 1) composite?
True
Let y be (891/18)/(2/12). Suppose 2*m - y = -m. Suppose 435 = 3*g - 3*x, g - m = -x + 54. Is g prime?
True
Let f(h) = h**2 - 12*h - 13. Let d be f(13). Suppose d = -4*y + 3*y - 601. Let s = 860 + y. Is s a composite number?
True
Suppose -1043 = -4*c + 3*c. Is c composite?
True
Let x = 5532 + 2625. Is x composite?
True
Let f(z) = -17*z + 11309. Is f(0) a composite number?
True
Let r(t) = -t**2 + 6*t + 8. Let b be r(7). Is 4 - b/(5/(-9725)) prime?
True
Let l(o) = 251*o + 7. Suppose -8 = -18*w + 14*w. Is l(w) prime?
True
Let i = -41 - -36. Is (1674/135)/((-1)/i) a composite number?
True
Let a = -169 + 1214. Suppose 4*l - 836 = -0*l + 3*j, 5*l = 5*j + a. Let o = -46 + l. Is o prime?
True
Let l(n) = -n**2 + 2*n - 6. Let k be l(0). Is 5968/24*k/(-4) prime?
True
Let l(x) = 722*x + 7. Let q be (4/5)/((-46)/(-115)). Is l(q) prime?
True
Let f(r) = -213*r - 4. Let l(k) = -1064*k - 20. Let c(j) = -11*f(j) + 2*l(j). Suppose 0 = -o + 2*o + 5*u + 22, -5*u = -o + 28. Is c(o) prime?
False
Let n be (-1)/2*(-10 + 2). Suppose -n*t = -7*t + 12. Suppose 2*u - 283 = g + 2*g, g = t*u - 591. Is u composite?
False
Suppose -11*c - 824 = -7743. Is c a prime number?
False
Let t(i) = 8885*i**2 - 3*i - 13. Is t(-3) composite?
True
Let u(h) = 21*h**2 - 8*h + 134. Is u(-13) a prime number?
False
Let x = 9614 - 3197. Is 0 + 1/4 + x/12 composite?
True
Suppose -2*g + 5*p - 9 = 1, -5*g - p = -2. Suppose g = 3*a - 0*i - i - 38, 2*a - 4*i - 42 = 0. Is a prime?
True
Let a be ((-13)/(-4))/((-7 + 3)/(-80)). Is a - ((-48)/20 + 4/10) a composite number?
False
Let t = 22 + -16. Suppose 3*o + 105 = t*o. Is o a composite number?
True
Is ((-38)/(-190))/(1/33095) a composite number?
False
Let h be 1/(2/(-4)*1). Let f = -1 - h. Is f/((-1)/((-1317)/3)) a composite number?
False
Let l = 12 + 79. Let n = l + -8. Is n composite?
False
Suppose 0*t = 4*t - 60. Let a(j) = -201*j**2 - 10*j + 5. Let b be a(8). Is (-8)/(-20) - b/t a prime number?
True
Suppose -5*u - 32 = -22. Let n be (1 - (4 + -2))*u. Suppose 0*p = -n*p + 586. Is p a composite number?
False
Let f be ((-1)/2)/(4/(-40)). Suppose -f*z - 75 = -1810. Is z a composite number?
False
Suppose -4*q - 909 + 5957 = 0. Suppose 10*n - 9*n = q. Is n a composite number?
True
Let v be 3756/9 - 1/3. Let o = -38 + v. Is o a composite number?
False
Let y be -1 + 2435 - (-3 + 0). Suppose 3*x = -2*a + a + y, -5*a = 3*x - 2441. Suppose 7*l = 3*l + x. Is l composite?
True
Suppose -x = -323 + 1. Suppose -4*k - x = -11*k. Is k prime?
False
Let s(g) = -g**3 - 5*g**2 + 2*g + 6. Let m be s(-5). Is 2/(-2*m/60) composite?
True
Let w = -8388 - -15715. Is w prime?
False
Let a(s) = -s**2 + 5*s - 4. Let b be a(3). Suppose 3*y + 2*z - 2 = -6, -b*y - 21 = 5*z. Is (4 - y)*(-1645)/(-10) prime?
False
Suppose -77692 - 147073 = -5*p + q, 4*p - 2*q - 179812 = 0. Is p prime?
True
Let n(b) = b**2 + 4*b + 7. Let x be n(-3). Suppose -5*a - 16 - 4 = 0, 3*a + 1444 = x*i. Is i a prime number?
False
Suppose 0 = -3*y + 8868 + 4905. Is y a prime number?
True
Let f = 9 - 6. Let g be -1 + 1 + 1 + f. Suppose -4*u + 8 = g*w, -2*u - 4*w - 3 - 3 = 0. Is u a composite number?
False
Suppose 0 = 218*t - 211*t - 51247. Is t a composite number?
False
Suppose 4*q - 1 = 4*v + 3, 4*q + 3*v = 11. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
4323114
In base 7, what is -5 - 1552552?
-1552560
In base 4, what is -11 + -1022002320?
-1022002331
In base 8, what is 24635 - -3?
24640
In base 8, what is -151 + 304?
133
In base 6, what is -505054 - 4?
-505102
In base 4, what is 102 - 320203?
-320101
In base 6, what is -1 - -25042202?
25042201
In base 5, what is 410 - -313320?
314230
In base 8, what is 171410 - 1?
171407
In base 15, what is -1b12 + 1?
-1b11
In base 7, what is 154606 - -1?
154610
In base 6, what is 21433 - 32?
21401
In base 6, what is 2525 - -1023?
3552
In base 5, what is 2 + 3142231?
3142233
In base 9, what is 172 + 105?
277
In base 11, what is -138 + -616?
-753
In base 13, what is 301 + 23?
324
In base 4, what is 1 + -313010222?
-313010221
In base 13, what is 0 + 26a22?
26a22
In base 5, what is 3204103 + -412?
3203141
In base 5, what is -2421 - -30?
-2341
In base 4, what is 2313 + 1012?
3331
In base 2, what is 101 - -100100001101011011?
100100001101100000
In base 3, what is 2202 - 200120?
-120211
In base 8, what is 3 - 104111?
-104106
In base 16, what is -16 - 1001?
-1017
In base 16, what is -c7ee + -b?
-c7f9
In base 8, what is 1433 - -572?
2225
In base 7, what is -4045 - -1?
-4044
In base 11, what is -20 + -18?
-38
In base 7, what is 5 - -33035?
33043
In base 13, what is -1598 + 11?
-1587
In base 13, what is 21 + -2697?
-2676
In base 5, what is -1103 + -43333?
-44441
In base 5, what is 3012043 + -2?
3012041
In base 16, what is -7ce - 115?
-8e3
In base 11, what is -4 + 154245?
154241
In base 3, what is 1 + 1101201012?
1101201020
In base 3, what is 11 + -1002122?
-1002111
In base 13, what is -307b + 5?
-3076
In base 5, what is 3 + 1221414?
1221422
In base 4, what is -10110010 + -1?
-10110011
In base 6, what is 1301 + -103?
1154
In base 4, what is -311 - 2310330?
-2311301
In base 5, what is -11 - 22214?
-22230
In base 14, what is -5 + a6967?
a6962
In base 2, what is -100 - -1000101000101101000?
1000101000101100100
In base 9, what is -10 + -1206?
-1216
In base 6, what is 14014200 + -4?
14014152
In base 13, what is 27b + 4aa?
758
In base 6, what is -2043322 + 0?
-2043322
In base 10, what is 12 - 15693?
-15681
In base 4, what is 3 + -101323103?
-101323100
In base 16, what is -1 + 2790?
278f
In base 13, what is 3 + -26b9?
-26b6
In base 6, what is 23 - 13204?
-13141
In base 10, what is 2 + 6473?
6475
In base 4, what is 0 - 22023002?
-22023002
In base 15, what is -243 + -10?
-253
In base 14, what is a238 + -8?
a230
In base 5, what is 10 - 42124201?
-42124141
In base 4, what is 0 - -10110103?
10110103
In base 12, what is 103 - -166a?
1771
In base 12, what is 4 - -92a69?
92a71
In base 16, what is b - -11bd9?
11be4
In base 3, what is 0 - 200200202?
-200200202
In base 5, what is -240042 - -2310?
-232232
In base 15, what is 1 + 2e64?
2e65
In base 14, what is 2 + 9dd2?
9dd4
In base 6, what is -55525 + 22?
-55503
In base 12, what is 402 + -77?
347
In base 12, what is -1036 - 66?
-10a0
In base 13, what is -2424 - 3?
-2427
In base 6, what is -25524042 + 3?
-25524035
In base 4, what is -20221211 + 231?
-20220320
In base 8, what is -3 - 554727?
-554732
In base 7, what is -1136412 + -1?
-1136413
In base 13, what is -2 + -51194?
-51196
In base 4, what is 2113220 + 11?
2113231
In base 16, what is cf4d + -5?
cf48
In base 13, what is -16182 - -8?
-16177
In base 6, what is 140 + -33042?
-32502
In base 5, what is 42100 - -21344?
113444
In base 6, what is 55423 - -12?
55435
In base 10, what is 1 + 653175?
653176
In base 2, what is 10100 + -10000001111100100?
-10000001111010000
In base 7, what is -322 + 1264?
642
In base 9, what is -5618 + 330?
-5278
In base 9, what is -16 - -124282?
124265
In base 8, what is 22 + -121353?
-121331
In base 3, what is 0 - -1120020012?
1120020012
In base 7, what is 231 + 54?
315
In base 8, what is -44 + 10475?
10431
In base 8, what is -17112502 + -4?
-17112506
In base 7, what is 4 - 4346?
-4342
In base 5, what is 4 + 442320?
442324
In base 8, what is 0 + 36622?
36622
In base 11, what is 7 + 158224?
158230
In base 14, what is -2da46 - 2?
-2da48
In base 14, what is 0 + 99d4?
99d4
In base 4, what is -3 + -2133330320?
-2133330323
In base 5, what is -2213 - 424?
-3142
In base 8, what is -3 + 54071?
54066
In base 4, what is 12330 - -200123?
213113
In base 11, what is -3 + -1337a?
-13382
In base 15, what is -2977 + 60?
-2917
In base 15, what is -3ee4 - -11?
-3ed3
In base 3, what is 1122000 + -212021?
202202
In base 4, what is 12 - 120310001?
-120303323
In base 15, what is -73 + -23d2?
-2455
In base 3, what is 10 + -11110100122?
-11110100112
In base 10, what is 0 + 117129?
117129
In base 6, what is -1401101 + 14?
-1401043
In base 8, what is -1073517 + 2?
-1073515
In base 3, what is -102220002100 - 0?
-102220002100
In base 14, what is -18 + 1273b?
12723
In base 9, what is 105445 + -2?
105443
In base 9, what is -17837 - -15?
-17822
In base 2, what is 10 + -10100110011001?
-10100110010111
In base 4, what is -10 + -111110?
-111120
In base 7, what is 515 + 545?
1363
In base 6, what is 11411 + -35?
11332
In base 15, what is 3 - -88?
8b
In base 15, what is -1056 - 16?
-106c
In base 8, what is -112545 + -12?
-112557
In base 10, what is -1184676 - 5?
-1184681
In base 9, what is -723 + 38?
-674
In base 15, what is 809cc + -4?
809c8
In base 13, what is 198 + 367?
532
In base 8, what is 554 - 52?
502
In base 12, what is -81718 - 8?
-81724
In base 10, what is 5 - -383976?
383981
In base 11, what is 4 - 93429?
-93425
In base 16, what is -c73d + 7?
-c736
In base 13, what is 194 + 67c?
843
In base 15, what is 214 - -290?
4a4
In base 10, what is -54 - 236?
-290
In base 12, what is 144800 + -2?
1447ba
In base 5, what is 30211 + -214?
24442
In base 11, what is 0 + 5216?
5216
In base 10, what is 776 - 10?
766
In base 6, what is -23441252 + 3?
-23441245
In base 7, what is 652 + 33?
1015
In base 5, what is -100141032 - -2?
-100141030
In base 12, what is 17b + 2b?
1aa
In base 14, what is 237 - -45b?
694
In base 8, what is 20137 - -4?
20143
In base 14, what is -13a + 340?
204
In base 13, what is -5ab - -43?
-568
In base 11, what is 19 + 8993?
8a01
In base 4, what is -10302303 + -221?
-10303130
In base 8, what is 5 + -5512?
-5505
In base 3, what is 10110 + 120101?
200211
In base 5, what is -10 + -400204?
-400214
In base 11, what is -313 - 925?
-1138
In base 16, what is d83 - 5?
d7e
In base 11, what is 36987 - -18?
369a4
In base 15, what is 32 - 14?
1d
In base 11, what is -29 + 10a61?
10a33
In base 3, what is -2100 + 220211?
211111
In base 8, what is -203 + -2217?
-2422
In base 11, what is -124442 - -1?
-124441
In base 16, what is -24 + 5c9?
5a5
In base 6, what is 2 + -110040?
-110034
In base 13, what is 5 - 5964?
-595c
In base 5, what is 14130403 - -3?
14130411
In base 5, what is -13 + 2302032?
2302014
In base 7, what is -3023245 - -3?
-3023242
In base 6, what is -5 + -11502301?
-11502310
In base 5, what is 133 + -212041?
-211403
In base 7, what is -53652 - 21?
-54003
In base 12, what is -32495 + 2?
-32493
In base 10, what is 126899 - 12?
126887
In base 5, what is -20 + 1043314?
1043244
In base 10, what is -2 + -1948?
-1950
In base 10, what is 43 - 63623?
-63580
In base 7, what is -145313 + 10?
-145303
In base 8, what is 74 + -7660?
-7564
In base 15, what is -663b + -7?
-6643
In base 13, what is 3 + -32b9?
-32b6
In base 3, what is 22211001112 + -10?
22211001102
In base 14, what is -8448 - 0?
-8448
In base 14, what is -52c - 6c?
-59a
In base 2, what is -10011110101 - 101010?
-10100011111
In base 9, what is 1 + -115045?
-115044
In base 5, what is 10 - 413142240?
-413142230
In base 6, what is -34405 + -12?
-34421
In base 16, what is 2f - 1a83?
-1a54
In base 14, what is -43dc - 25d?
-465b
In base 5, what is -33 + 202234?
202201
In base 7, what is 2324 - -151?
2505
In base 2, what is -111100 - -11111001011?
11110001111
In base 9, what is 24 - -7432?
7456
In base 12, what is -361360 + 0?
-361360
In base 9, what is 462 - -2505?
3067
In base 11, what is -14aa8 + 4?
-14aa4
In base 4, what is 20320131 + -3?
20320122
In base 14, what is -1 + -39d2c?
-39d2d
In base 5, what is 11 - 2021120?
-2021104
In base 16, what is 8c - -44a?
4d6
In base 10, what is -16 - 2659?
-2675
In base 16, what is -9f - 363?
-402
In base 6, what is -20230 + -35?
-20305
In base 7, what is -30 - -320?
260
In base 8, what is -7 - -13641
|
{
"pile_set_name": "DM Mathematics"
}
|
Let r = -24 - 69. Let p = -89 - r. Suppose -d = -4*g - 8, 0 = -4*d + 4*g + 12 - p. Solve -3*l = -12, -3*f + d = -3*l - 3 for f.
5
Let w be (52/(-234))/((-5)/(-15))*-6. Solve -w*r + 1 = -3*r, -4*d = -5*r - 3 for d.
2
Let t be 4/22 - (-4)/(-44)*-20. Suppose i - t*n + 0*n - 8 = 0, -20 = i + 5*n. Solve 2*l + d = -8, i = -l - 3*l - d - 12 for l.
-2
Let i = -1 - -2. Let t = -130440 + 130443. Solve i = t*u - s, -4*u + u - s = 7 for u.
-1
Suppose 16*c - 17*c - 917 = -8*c. Solve 0 = -4*j - 2*w - 18, c*w = -4*j + 135*w - 12 for j.
-4
Let i be 1/14 + (-2619)/(-1358). Solve -27 = -5*o - 2*m, -9 = -i*m - 7 for o.
5
Let c(v) = -v**2 + 10*v + 29. Let s(g) = 4*g**2 - g - 6. Let h be s(-2). Let n be c(h). Solve 4*d - 2*u + 4 = 0, 0 = -0*d - d - n*u - 23 for d.
-3
Let t be (-30)/4*332/(-498). Solve d + 4 - 8 = -2*f, 0 = -t*d - 5*f for d.
-4
Suppose 4*z + 3*c = 64, 30*z - 35*z = -2*c - 57. Solve 0 = -2*a + 5*l - 34 + z, l = a + 3 for a.
2
Let d = -29 + 46. Suppose -20*y + d*y + 30 = 0. Suppose -y*b = -5*b - 90. Solve 2*f - 5*g + b = 0, 13 + 6 = 3*f + 4*g for f.
1
Let d(g) = -g**3 + 2*g**2 + 24*g + 35. Let c be d(-2). Solve -5*p - 27 = -2*y, c*y + 4*p - 57 = -74 for y.
1
Let v(c) = 103*c - 44*c - 52*c + 4 + c**2 - 18. Let y(r) = -2*r**2 + 2*r + 3. Let p be y(-2). Let w be v(p). Solve -3*q + 27 = w*n + n, 3*n - 25 = -4*q for n.
3
Let w(c) = c - 13. Let f(g) = -2*g + 38. Let r(n) = -2*f(n) - 7*w(n). Let v be r(5). Suppose 5*u - 3*u + v*u = 0. Solve u = 4*l - 0*l, -l + 20 = 4*p for p.
5
Suppose -223*c - 30 = -229*c. Solve -g - 4*a - 5 + 0 = 0, 0 = c*g - 3*a - 21 for g.
3
Let f(o) = 3*o**2 - 15*o - 528. Let p be f(16). Suppose 20 = 2*l + 2*l. Solve p = 4*q - l*q - 3*m - 8, m = -1 for q.
-5
Let g = 54 + -49. Suppose -s = 5*t + 16, 28*s - 23*s = 2*t + 28. Solve 3*c + 5 = g*j, -3*j + s*c - 2 + 5 = 0 for j.
1
Suppose 0*l + 1 = -l. Let w be (-1 + 0)/(l/2) - -1. Suppose -2*t = 2*t - w*u - 6, 0 = 3*t - u - 2. Solve -4*p - 2 = 4*d - 6, 5*d - 15 = t for p.
-2
Suppose -39*l + 30*l - 36 = 0. Let p(c) = c**3 + 2*c**2 - 14*c - 4. Let m be p(l). Solve m = -4*d + 4*w, d + 7 = w + 2*w for d.
-4
Let n(j) = -j**3 + 5*j**2 + 7*j - 1. Let x be n(6). Suppose -5*d + 5*s + 35 = 0, x*d - 2*d - 5 = -5*s. Solve 0 = -d*y - 3*m - 0*m - 31, -13 = 3*y - m for y.
-5
Let a = -68 + 67. Let o(g) = -24*g**3. Let r be o(a). Suppose 5*q - 8*q = -r. Solve -4*c - 4*z = q, -3*c - c + 4*z = -24 for c.
2
Suppose 3*q - 43 = 11. Suppose -i - 12 = 5*z - 51, -4*i - z = -118. Let b = i - q. Solve -10 = g + 3*g - 2*l, -2*g - b = 5*l for g.
-3
Let o(f) = -f**3 + 145*f**2 + 454*f - 1377. Let p be o(148). Solve -3*r - 9 = -3*b, -p*r - 2 = -101*r for b.
2
Suppose -136*w + 138*w - 35 = -s, -2*w - 4*s + 50 = 0. Solve w = -3*h, -4*i + h + 94 - 85 = 0 for i.
1
Suppose 3*n = -1 - 53. Let k be 3*3/n*2. Let g be k/(2 - 7/3). Solve -5*h + 15 = 2*d - 3*d, -g*h + 1 = d for h.
2
Let q = 18 + -21. Let b be (-1)/(q/180) - -2. Let f = -58 + b. Solve 2*l = -5*x - 0*l + 22, 0 = -4*x - f*l + 20 for x.
4
Suppose -5*r = -20, -5*r = 2*t - t - 38. Suppose -15*z + 10*z + t = g, -2*g = -2*z. Solve -3*o = u + 14, 4*u - 9 = 4*o - z*o for o.
-5
Let b be 2*(2/2)/((-6)/(-12)). Let r = -96 - -135. Let l = r + -38. Solve -b*h - 2 = -2*k + 2, -h = k + l for k.
0
Suppose -h = -d + 4, -4*h + d + 13 = 17. Solve -3*t + 4*u = 2, 3*t + h*t + 5 = u for t.
-2
Let m = 307 - 305. Let k(d) = d**2 + 10*d + 13. Let o(f) = -3*f - 4. Let p(a) = 2*k(a) + 7*o(a). Let n be p(m). Solve 5*u + 25 = 0, 2*g - 2*u - n = -2 for g.
-4
Let p be (-4)/(-10) - (-2 - 231/(-15)). Let l = p - -17. Suppose 0 = -2*k + 6, 3*a - a - 2*k - l = 0. Solve -t = 2*d + a, 0 = 2*d - t - 0 + 11 for d.
-4
Let h = 1689 - 1659. Solve -13*c + 8*c - h = s, -s - 20 = 3*c for s.
-5
Suppose -3*b + 138 + 7 = 5*n, -5*n = -3*b - 145. Let u = n - 37. Let d be 135/8 + u/(-64). Solve 4*j = 2*j + 3*x - 13, 2*j = -3*x + d for j.
1
Suppose -10*k + 32*k = 572. Let v = -8 - -36. Let f = v - k. Solve -4*o = -4*q - q + 29, -12 = -2*q + f*o for q.
5
Suppose 4*d + 6*w = 3*w, d + 31*w = 32*w. Solve 6*n = n + 5*u - 25, -2*n + 3*u - 11 = d for n.
-4
Suppose w - 5*w + 68 = 4*t, -2*w = 4*t - 70. Let p(s) = s**2 - 16*s - 30. Let f be p(t). Solve g - 8 = -2*b, -7 = -f*g + g + b for g.
2
Let b be 28/(-6)*(-975)/130. Solve 0 = s + 3, 3*p = -s + b - 53 for p.
-5
Suppose 5*u + 2*o = -148, 31*u - 35*u - 3*o = 117. Let z be ((-12)/u)/((-1)/(-25)). Solve 5*a = z - 35, 3*a = 3*q for q.
-5
Let l(b) = b**3 - 9*b**2 + 14*b + 46. Let u be l(5). Solve 4*n - 7*n = 3*m + 12, n + u = -5*m for m.
-3
Suppose -l + 3*p + 35 - 16 = 0, -5*l = -p - 25. Solve -3*r - 2*j = l, 6 = r + 4*j + 4 for r.
-2
Let u(f) = f**3 + 35*f**2 + 47*f + 27. Let p be u(-34). Let k = 416 + p. Solve 0 = 2*n - 4*b - 10, -4*n - 5 = 4*b - k for n.
1
Let z be 246/50 + 136/1700. Solve -z*k = -4*g + 35, 3*k = -5*g - 11 + 27 for k.
-3
Let g be 3/((5/(255/18))/(2 - 0)). Solve g + 12 = -t + 5*b, -2*b - 10 = 5*t for t.
-4
Suppose 67*h = -33*h + 4*h. Solve -5*b + 2 = -u + 18, h = -4*b + 4*u for b.
-4
Suppose 18*j - 13*j = -5*h - 5, 3*j + h + 13 = 0. Let z(c) = c**2 + 3*c - 14. Let k be z(j). Solve -3*i = 2*q - 4 - 3, 2*i + k = 3*q for q.
2
Let d = 5 + -3. Let k(u) = -u**2 + 65*u + 506. Let s be k(-7). Solve -6*b - 15 = -b - r, 6 = s*b + d*r for b.
-2
Let l(a) = 2*a**3 - 15*a**2 + 9*a - 9. Let m be l(7). Suppose 15*p = -m*p + 80. Solve 0*t - 4*f = 2*t - 16, 17 = p*t + 3*f for t.
2
Let q = 160 - 158. Suppose k - 6*k = -3*m - 6, -q = -3*k + m. Solve 5*a - 35 = -5*p, k = 2*a - 5*a + 12 for p.
3
Suppose 0 = x + 5, 0 = 4*j + j - 2*x - 20. Suppose -48 = 5*r - 11*r. Let z be r - ((-6)/(-2) - 1 - -2). Solve 0 = -4*l, -2*w = -2*l + z + j for w.
-3
Suppose -9 = -3*a, -4*a - 23 + 5 = -3*q. Let o be q/4 + ((-155)/(-10) - 9). Solve x + 2 = 0, -f + 0*f = -2*x - o for f.
5
Let f be (3/(-3))/(1/44). Suppose 4787*n - 4783*n - 188 = 0. Let o = f + n. Solve 6 = 2*k + r, k - 5*r = 2*k - o for k.
3
Let v(r) = -1 - r**2 + 2*r - 21*r - r. Let j = 202 - 220. Let m be v(j). Solve -4*k - 5*g - m = 0, -3*k - 4*g = -g + 24 for k.
-5
Suppose -10*v + 40 = -20. Suppose -11*g + 25 = -v*g. Solve o + 0 - 24 = g*s, -o - 4 = 2*s for s.
-4
Let l be 1365/(-78)*3*4/(-7). Let a be ((-20)/l)/((-1)/(-3)*-1). Solve -3*h - 3*n + 18 = 0, a*n + 15 = 5*n for h.
1
Let f be 42/(-28) + 44/8. Suppose 2*r - 3*a = -f*a + 8, 5*r - 5*a - 20 = 0. Solve -3*m - 20 = -r*g, 4*m + 26 - 6 = 4*g for m.
0
Let z be (-8)/44 - 1206/(-99). Suppose 0 = -191*v + 195*v - z. Solve -15 = 3*p + v*u, 0 = -0*p + 2*p + 5*u + 16 for p.
-3
Suppose 7*c + 4 + 3 = 0. Let u(z) = -20*z - 17. Let s be u(c). Solve 3*a + 2*k + 10 = 0, -4*a = -s*k - 2*k - 2 for a.
-2
Suppose -5*u + 96 = -309. Let v be u/54*8/6. Solve -4*m - v = 2*o, -5*m = 2*o - 0 + 3 for o.
1
Suppose -154*a + 137*a + 357 = 0. Solve -14 = -l - 4*g, 3*g = 10*l - 16*l + a for l.
2
Let c be 11*6*12/198. Suppose -144 = -37*b + c. Solve 5*y + 5 = s, 2*y + 24 = -b*s - 0*y for s.
-5
Suppose -2*k + 14 = v, -4*k + 42 = 3*v - 8*v. Let z = 8 + k. Suppose 7*y - 2 = 2*r + 4*y, 0 = -4*r - 4*y + z. Solve r*t + 6*u - 2*u = 6, -u + 3 = -t for t.
-1
Let p(d) = d**2 + 11*d - 24. Let f be p(-13). Let b be 3/(42/12 - f). Solve -3*c = b*c + 3*h + 10, -5*h = 2*c - 15 for c.
-5
Let x(q) = q + 37. Let n be x(0). Suppose -3*d + 525 = o, -d - 21 = o - 196. Suppose n = -6*i + d. Solve -4*b - 21 = -v, -2*b + 6*b - 3*v + i = 0 for b.
-5
Let o = 70 - 68. Suppose 5*w + 3 - 32 = -2*q, -2*w + 12 = q. Suppose 5*r - 4*b = w, 4*b - 2 = 4*r - 6. Solve -2*m = -m + o*t - 9, m = 2*t + r for m.
5
Let h be (-40)/100*(-205)/2. Suppose 2*q - 63 = -h. Solve 3*x = s + q, 2*x + s = 5*s - 6 for x.
5
Suppose 0 = -28*w + 24*w + 12. Let a be (2/w*-2)/(2/(-3)). Let v be ((-28)/(-10))/(a/5). Solve -15 = -4*n - 3*f, 3*n - 5*f = -n + v for n.
3
Let s = -11048 + 11051. Solve 2*j - n = -s*n - 16, -5*n - 16 = -3*j for j.
-3
Suppose -i + g = 5*g + 6, -4*g - 294 = -15*i. Solve u + 2*h = 0, h - i + 12 = -2*u for u.
4
Let o be 5 + 12/(-3) + 4. Suppose -2*j + 3*j = -2*n - 1, 4*n + 5 = -o*j. Let w be (-3 - -6)*j*(0 + -1). Solve 2*i - w*u = 33 - 8, -5 = -5*i - 4*u for i.
5
Suppose 37*z - 244 - 58 - 31 = 0. Solve -z*x + 5*x - 14 = -3*l, -x = 4*l + 13 for l.
-2
Suppose -30*i + 34*i = 44. Let u(s) = -s**3 + 9*s**2 + 109*s - 17. Let w be u(-7). Solve 3*l - w*j =
|
{
"pile_set_name": "DM Mathematics"
}
|
= -5, 2 = 3*c + 4*h. What is the least common multiple of c and 9?
18
Suppose -10 = -5*i + 4*t, i = 2*i - 4*t + 14. Calculate the common denominator of (-1095)/10*(-1)/i and -49/10.
20
Let k(p) = -9*p**3 + 10*p**2 - 10*p + 6. Let i(d) = 5*d**3 - 5*d**2 + 5*d - 3. Let r(j) = 7*i(j) + 4*k(j). Calculate the least common multiple of 18 and r(3).
18
Let d = -1/219 + -4597/438. What is the common denominator of d and 15/2?
2
Let m = 1 + -1. Let f be (0 + 1)*(1 - m). Suppose 0 = c - f - 0. What is the least common multiple of c and 8?
8
Find the common denominator of 0 - (-232)/108 - (6 - 6) and 17/30.
270
Let m = 50808 - 508831/10. Let x = -193/5 - m. Let q = 402 + -1621/4. Find the common denominator of q and x.
4
Let p = 2773/8 + -24553/72. What is the common denominator of p and -5/21?
126
Let y = 53 - 35. Calculate the lowest common multiple of y and 7.
126
Let c(v) = 4 + 0 + 0 + 0 - 2*v. Let n be c(3). Find the common denominator of -56/3 and n/3*(-249)/(-4).
6
Let i = 18 + -15. Suppose i*b - 9 = 6. What is the smallest common multiple of b and 5?
5
Let g = -520/3 + 169. What is the common denominator of g and 4 - -3*(-2)/15?
15
Let y = -747 + 1818. Let b = 11793/11 - y. Find the common denominator of b and 6*(150/44)/(-5).
11
Suppose 7*l + 288 = 5*l. Find the common denominator of 1 + -5 + (-564)/l and (26/12 + -2)*149.
12
Let q(u) = -4*u - 4. Suppose z - 18 = 5*m, 8*m - 2*z = 3*m - 16. What is the lowest common multiple of 16 and q(m)?
48
Let s(r) = -r**2 - 6*r + 34. Calculate the least common multiple of 9 and s(-8).
18
Let o be (6/4)/(3/6). Let b(f) = 4*f - 1. Suppose 0 = -z + 3*r + 20, -3*r - 42 = 2*z - 5*z. Calculate the least common multiple of z and b(o).
11
Let k = 30 + 29. Suppose 2*n + 2*n - 5*o - 55 = 0, -3*o - k = -5*n. Let u(z) = z**2 + 3. Calculate the least common multiple of n and u(-3).
60
Let d(t) = t**2 - 5*t + 6. Let s be d(5). Let v(w) = -w**3 - 9*w**2 + 11*w + 7. Let a be v(-10). Let y = a + s. What is the smallest common multiple of y and 3?
3
Suppose 6*b + 12 = 4*b. Let o(u) = u + 8. Calculate the smallest common multiple of 12 and o(b).
12
Find the common denominator of 140/(-50)*(-45)/(-4) and 31/8.
8
Let h = 1 - -5. What is the lowest common multiple of 20 and h?
60
Let x = -1 + -1. Find the common denominator of -21*(23/11 + x) and -12.
11
Let a = -49343/8 + 6158. Calculate the common denominator of a and 18/((-10)/(-6) + -1).
8
Let j(s) = -3*s**3 - s**2 + s - 1. Let h be j(-2). Suppose 3*f + 4*b - 35 = h, -3*f + 68 = -4*b. Calculate the least common multiple of f and 18.
180
Let j = -19 - -74. Let v be (1/1 - -886)/j. Let r = v - 140/11. What is the common denominator of r and -119/10?
10
Let r = 3225 + -28982/9. Calculate the common denominator of r and ((-2)/(-4))/(-4 + (-1722)/(-432)).
9
Let j = -55610/9 - -6187. What is the common denominator of j and -133/6?
18
Suppose 16 = -0*j - 5*j + 4*f, -j - 12 = -3*f. Let m = 7 - j. Calculate the least common multiple of m and 4.
28
Find the common denominator of -99/4 and (130/4)/(-1 + 0).
4
Let b = 0 - -3. Suppose b*p = 2*u - 12, -2*p - p = -u. Calculate the least common multiple of u and 16.
48
Suppose -2*f = 2*f - 4. What is the lowest common multiple of f and 106?
106
Let u be -1 - 5/((-15)/252). Suppose -5*z + u = i, 4*i - 10 = 2. Calculate the smallest common multiple of z and 18.
144
Let a be (4 - 5)/((-1)/(-6845)). Let m = a + 68357/10. Calculate the common denominator of -34/9 and m.
90
Let b(s) = 3*s - 6. Let y be b(12). Suppose 0*d = 5*d - y. What is the smallest common multiple of 40 and d?
120
Let g(i) = i**3 + 6*i**2 + 3*i + 1. Suppose o - 16 = 14. Suppose 6*l - l = o. Calculate the lowest common multiple of g(-5) and l.
66
Suppose 2*w + w + 3639 = 0. Let v = 12119/10 + w. Calculate the common denominator of v and 25/2.
10
Suppose 0*t - 81 = -3*t. Suppose t = 2*r + 7. Suppose 4*x + y = 28, 10*x - 8*x = 5*y - 8. Calculate the smallest common multiple of r and x.
30
Suppose 4*g + 20 = 6*g. What is the lowest common multiple of 10 and g?
10
Let f = 656 - 647. Suppose r - 6 - 17 = 0. Suppose -3*a + 43 = 4*g, -4*g - a = -18 - r. What is the least common multiple of f and g?
90
Let v = 129414/13 + -2069393/208. Let j = 42/13 - v. What is the common denominator of 133/6 and j?
48
Let j be 522728425/(-1134) + 4/14. Let s = 460957 + j. Let n = s - -2/81. What is the common denominator of n and 23/4?
4
Let u(h) = -9*h - 41. What is the smallest common multiple of u(-5) and (-2)/4 - (-46)/4?
44
Suppose c + 6*w - 11*w = 33, -3*c = -3*w - 63. What is the lowest common multiple of c and 36?
36
Let l = 20 - 17. What is the least common multiple of l and 30?
30
Find the common denominator of 4/(-6)*444/64 and -143/6.
24
Suppose 4*c - 12 = -4. Suppose -2*w = c*d - 18, -4*w + 14 + 29 = 5*d. Let a(h) = -h - 8. Calculate the smallest common multiple of a(-9) and d.
7
Suppose -2*b + 21 - 5 = -3*l, -b + 7 = -l. What is the lowest common multiple of 7 and l/(-20)*2*5?
7
Calculate the common denominator of 5/10 - (-226)/(-28) and ((-30)/(-8))/((-11)/8).
77
Suppose -4*s + 4 = 5*w, -2*w - 4 = -0*s + 3*s. Suppose 19 = -3*v - w*d, 3*v - 5*d = -2*v + 15. What is the least common multiple of 3 and 0/v + (2 - 1)?
3
Let l(p) = -2*p - 6. Let a be l(-4). Calculate the common denominator of a/(-3) + 292/72 and 1/12.
36
Let x(y) = 2*y**2 - 2*y. Let l be x(2). Let s = -13737/3260 - 120/163. Calculate the common denominator of l/18 - (-223)/90 and s.
20
Let t = 4 + -2. Suppose 0 = -w, 0 = -y + 2*w + t + 2. Calculate the smallest common multiple of y and 2.
4
What is the common denominator of ((-68)/(-12))/(2/3) and (-39)/180 - 6/(-8)?
30
Let n be -2 + ((-4)/(-2) - -3). Let x(y) = 2*y - 7. Calculate the lowest common multiple of x(8) and (-2)/n*-1*9.
18
Let s = -18 - -26. Suppose 0 = 5*o - 5*t - 15, 5*t + 5 = -4*o - 1. Calculate the least common multiple of (0 - o)/(1/(-8)) and s.
8
Let c(x) = 1 - 2*x + 0 + 3*x + 9*x**2. Let y be c(-1). Calculate the common denominator of -5/7 and 102/(-10)*(-6)/y.
35
Let p(g) = g**2 - 5*g - 16. Calculate the least common multiple of p(-7) and 4.
68
Suppose -2*z = 3*x + 2*z - 23, 0 = -x - 2*z + 7. Calculate the lowest common multiple of 9 and x.
9
Let y = -65171/55 + 1185. What is the common denominator of 107/40 and y?
440
Let p be (30/(-24))/(1/40). What is the common denominator of -77/8 and (-5)/(p/(-81)) - -3?
40
Let j be 4/10 + (-72)/(-20). Suppose -60 = -5*n - 5*f, 0 = -j*n + 2*f + f + 48. Calculate the least common multiple of 20 and n.
60
Let h = 1311 + -3865/3. Calculate the common denominator of 17/5 and h.
15
Let d be 609717/(-54) - 2/(-6). Let w = -11285 - d. What is the common denominator of w and -137/12?
36
Let c = 24 - 14. Calculate the least common multiple of c and 854/105 + (-2)/15.
40
What is the common denominator of 0/32 - 113*2/(-36) and -13/128?
1152
Let a = 5/1273 - 92959/7638. Calculate the common denominator of 17/18 and a.
18
Let d(f) = 4*f**2 + 3*f. Suppose 9 = -3*v - 27. Let r = v + 26. Calculate the lowest common multiple of d(-2) and r.
70
Let n = -1261/2 + 616. What is the common denominator of -54/11 and n?
22
Suppose u = 3*u - 12. Let t(p) = 6*p + 6. Calculate the common denominator of t(5) and (49/3)/(10/u).
5
Let i = -2/41 + 2669/82. Calculate the common denominator of i and -43/8.
8
Let g = 169/2 + -443/6. Calculate the common denominator of g and -16/29.
87
Suppose -l = 2*l - 6. Let x be (2 - -1 - 2) + 0. What is the least common multiple of (-122)/(-6) - x/3 and l?
20
Let l = 394 - -167. Let k = -1634/3 + l. What is the common denominator of 37/9 and k?
9
Let p(n) = -n**3 - 2*n**2 + 3*n + 2. Let t = 4 - 7. Calculate the smallest common multiple of p(t) and 22.
22
Suppose -2 + 5 = u. Calculate the lowest common multiple of 11 and u.
33
Let v = 3 - -13. Suppose -2*w = -24 - v. Calculate the lowest common multiple of w and 6.
60
Let p = 4 + 33. Find the common denominator of 27/29 and p.
29
Let n be -1 + 2 - 425118/559420. Let u = n + 3/3370. Let r = u + -5017/498. Find the common denominator of -76/9 and r.
18
Let r(n) = n - 4. Let x be r(0). What is the least common multiple of 8 and (-12 + x)*(-2 - -1)?
16
Suppose -4*d + 73 = -5*s, 39 = 5*d + 2*s - 11. Let k = 13 - 5. Calculate the lowest common multiple of d and k
|
{
"pile_set_name": "DM Mathematics"
}
|
(j) - 5*w(j).
-j + 1
Let y(x) = -496*x**3 - 5*x**2 + 3*x + 250*x**3 + 252*x**3 - 3. Let t(b) = -7*b**3 + 6*b**2 - 4*b + 4. Determine -5*t(s) - 6*y(s).
-s**3 + 2*s - 2
Let q(g) = g - 3. Let l be q(0). Let y = l - 4. Let a(j) = -3*j - 13. Let d(c) be the first derivative of -c**2 - 9*c + 8. Give y*d(b) + 5*a(b).
-b - 2
Let c(n) = -n**2 + 2*n - 3. Let w = 96 - 93. Let p(v) = -2*v**2 + 4*v - 5. Determine w*p(i) - 5*c(i).
-i**2 + 2*i
Let a(p) = 75*p**3 + 2*p**2 + 2. Let w(i) = -301*i**3 - 9*i**2 - 9. Give -9*a(u) - 2*w(u).
-73*u**3
Let k(f) = -5*f**2 - 6*f - 31. Let d(r) = -14*r**2 - 17*r - 92. Determine 4*d(u) - 11*k(u).
-u**2 - 2*u - 27
Let u(c) be the third derivative of 0 + 0*c + 0*c**5 + 1/6*c**3 - 5*c**2 - 1/120*c**6 + 0*c**4. Let m(l) = 3*l**3 - 4. Give m(h) + 4*u(h).
-h**3
Let n(c) = 1. Let u(i) = i + 5. Calculate -3*n(t) + u(t).
t + 2
Let w(s) = -55*s + 11. Let l(k) = -37*k + 7. What is 8*l(q) - 5*w(q)?
-21*q + 1
Suppose 4*z - 25 = -4*t - 61, -2*z = -2*t + 6. Let x be 11 + -3 + (4 - -2). Let g(p) = -2*p + 2. Let k(y) = -5*y + 5. Calculate x*g(j) + z*k(j).
2*j - 2
Let m(p) = -p - 6. Let f(q) = -3*q - 17. Let j(u) be the third derivative of u**4/8 - u**3/2 + 3*u**2. Let x be j(3). Give x*f(b) - 17*m(b).
-b
Let w(q) = 4*q**2 + 2*q + 2. Let g(b) = 7*b + 6 - 8*b**2 - b**2 + 22*b**2. Suppose 5*j - 21 = 2*j. What is j*w(u) - 2*g(u)?
2*u**2 + 2
Let t(d) = d**2 - 2*d - 4. Let x be (46/8)/((-5)/20). Let w = x - -12. Let f(j) = -6*j**2 + 11*j + 21. Determine w*t(p) - 2*f(p).
p**2 + 2
Let r(t) = -5*t**2 + 6*t - 1. Suppose 12 = 4*j - 2*j. Let h be 4/j + 39/9. Let y(i) = -4*i**2 + 5*i - 1. Calculate h*r(m) - 6*y(m).
-m**2 + 1
Let m(c) = 5*c + 4. Let x(y) = -y - 1. Suppose -5*z + 2*z - 9 = 0. Give z*x(l) - m(l).
-2*l - 1
Let t(u) = 3*u - 5. Let c = -13 + 7. Let a be (-1)/(14/c - -2). Let m(q) be the second derivative of -q**3/3 + 2*q**2 + 4*q. Calculate a*t(r) + 4*m(r).
r + 1
Let t(x) = -x. Let m(o) = -27*o. Give m(r) - 6*t(r).
-21*r
Let c(g) be the first derivative of -3 - 3/2*g**2 + 0*g. Let v(m) = 10*m. Give 7*c(n) + 2*v(n).
-n
Let m be (-5 + (3 - 2))/(-2). Let k(q) = 0*q**m - 6*q - 4 - 4*q**2 + 3*q**2. Let t(l) = l + 1. Calculate k(s) + 5*t(s).
-s**2 - s + 1
Let b(v) = 133*v**3 - 114*v**2 + 114*v + 114. Let u(f) = -f**3 + f**2 - f - 1. What is -b(j) - 114*u(j)?
-19*j**3
Let y(w) be the first derivative of w**2 + 4*w - 1. Let u(f) = 3*f + 5. Let x = 5 + -1. Let r be (x - -2)*1/(-2). Determine r*u(p) + 4*y(p).
-p + 1
Let a(d) = -12*d**2 + 1. Let x be (-11)/((-44)/80) - -2. Let j(i) = i**2. What is x*j(b) + 2*a(b)?
-2*b**2 + 2
Let s be -9 + 0 + -7 + 10. Let v(u) = -8*u - 15. Let y(a) = 3*a + 5. Let q(d) = 4*v(d) + 11*y(d). Let j(h) = 0*h + h - 4 + 1 - 3. Calculate s*q(p) + 5*j(p).
-p
Suppose 76 = 4*p + 212. Let k(b) = 35*b - 17. Let s(u) = 6*u - 3. Let l(f) = p*s(f) + 6*k(f). Let m(x) = x. Give -l(d) + 5*m(d).
-d
Let u(f) = -7*f + 1. Let n(z) = z. Calculate 2*n(g) + u(g).
-5*g + 1
Let r(t) be the second derivative of t**5/20 + 5*t**2/2 - 8*t. Let g(b) = -3*b**3 - 12. Give 5*g(l) + 12*r(l).
-3*l**3
Let z(y) = -29*y**3 + 17*y**2 + 17*y + 17. Let o(v) = -v**3 + 6*v**2 - v - 11. Let d be o(6). Let c(g) = -10*g**3 + 6*g**2 + 6*g + 6. Calculate d*c(q) + 6*z(q).
-4*q**3
Let t(s) = -3*s**3 - 4*s**2 - 3*s + 1. Let b = 57 - 18. Let y = -28 + b. Let a(i) = -8*i**3 - 11*i**2 - 8*i + 3. Give y*t(x) - 4*a(x).
-x**3 - x - 1
Let w(s) = -s**2 + 7*s + 7. Let g be w(8). Let i be 2*1*(-3 - -4). Let h(m) = 6*m + 1 + 0*m - m**i - 5*m. Let p(o) = -4*o**2 + 3*o + 3. What is g*p(u) + 3*h(u)?
u**2
Let u(d) = -4*d**3 + 2*d**2 - d - 2. Let s be ((-32)/24)/((-2)/15). Let n(b) = 9*b**3 - 5*b**2 + 3*b + 5. Give s*u(c) + 4*n(c).
-4*c**3 + 2*c
Let s(t) = t - 1. Let l = 23 - 13. Let p(c) = 1 - 5 + l*c - 6. Suppose 10*d = 12*d - 44. Determine d*s(v) - 2*p(v).
2*v - 2
Let i(p) = p - 2 + 4 - 6*p**2 + 0. Let a(x) = -2 + 3*x**2 - 5*x - x + 2*x**2 + 5*x. Calculate -7*a(n) - 6*i(n).
n**2 + n + 2
Let o(x) = x - 3. Let w(t) = -2*t - 2. Let v(d) = 5*d + 4. Let r(n) = -6*v(n) - 14*w(n). Determine 4*o(q) + 3*r(q).
-2*q
Let a(m) = -2*m - 7. Let q be a(-5). Let l(v) be the third derivative of v**5/30 - v**4/24 + v**3/3 + 8*v**2. Let f(t) = 3*t**2 - 2*t + 3. Give q*f(c) - 5*l(c).
-c**2 - c - 1
Let u(q) = 11*q**3 + 6*q**2 - 4*q. Let c(b) = 23*b**3 + 11*b**2 - 7*b. Give 6*c(l) - 11*u(l).
17*l**3 + 2*l
Let a(c) be the first derivative of c**2/2 + c - 3. Let k(j) = 13*j + 11. Give 22*a(w) - 2*k(w).
-4*w
Let o(j) = 4 + 5*j + 4 - 3 - 4. Let d(m) = -m. Let t be d(-3). Let x(s) = 1 - 4 - 9*s + 1. Determine t*x(y) + 5*o(y).
-2*y - 1
Let w(k) = -k**2 - 3*k. Let t(o) = -o**2 - 7*o + 5. Let a be t(-6). Let j = 10 - a. Let z(g) = -g**3 - g**2 - g. Determine j*w(f) + 2*z(f).
-2*f**3 - f**2 + f
Let y(l) = 5*l**3 + 3*l - 3. Let v(g) = 11*g**3 - 3*g**2 + 3*g - 1. Let r be v(1). Let b(n) = -9*n**3 - 5*n + 5. What is r*y(k) + 6*b(k)?
-4*k**3
Let t = -15 - -21. Let j(w) = -7*w**3 + 7*w**2 + 11*w. Let k(h) = -2*h**3 + 2*h**2 + 3*h. Determine t*j(n) - 22*k(n).
2*n**3 - 2*n**2
Suppose -4*o + 4*x = -4, 2*o - 26 = -4*x - 0*x. Let h(b) = -2*b + 9. Let f(u) = u - 4. Suppose 3 + 1 = 2*t. Calculate o*f(m) + t*h(m).
m - 2
Let l = -10 - -14. Let b(g) = -1 + 7*g - 5*g**3 + 2*g**3 - 5*g**2 - 2. Let z(o) = -2*o**3 - 4*o**2 + 6*o - 2. Determine l*b(s) - 5*z(s).
-2*s**3 - 2*s - 2
Let c(m) = -17*m**2 - 7*m + 13. Let d(q) = -17*q**2 - 8*q + 13. Let f(a) = -5*c(a) + 6*d(a). Let t(o) = 4*o**2 + 3*o - 3. Calculate 6*f(l) + 26*t(l).
2*l**2
Let a(j) = -3*j. Let l(i) = 2*i. Let t(c) = c + 11. Let q be t(-4). Calculate q*l(s) + 5*a(s).
-s
Suppose -4*m + m = -6. Let b(c) = 4*c**2 - 3*c**2 + 5 - 3*c**3 + 0*c**3 + 4*c**m. Let s(z) = 2*z**3 - 4*z**2 - 4. Determine -4*b(q) - 5*s(q).
2*q**3
Let g(z) = 3*z**2 - 5*z + 9. Let x(b) = 2*b**2 - 3*b + 5. Let h = 28 + -23. What is h*x(c) - 3*g(c)?
c**2 - 2
Let o(p) = -4*p**2 - 11*p + 1. Let d(i) = 7*i**2 + 23*i - 2. Give 6*d(r) + 11*o(r).
-2*r**2 + 17*r - 1
Let h = -3 + 2. Let w(t) = t - 1. Let k(r) = 3*r - 4. Suppose 4*i - 3*u - 4 = -0, 2*i - 2*u = 2. Let x = 5 - i. Determine h*k(z) + x*w(z).
z
Let f(c) = c**2 - 5*c. Let y(s) = 2*s**2 - 4*s. Calculate 2*f(u) - 3*y(u).
-4*u**2 + 2*u
Suppose -12 = 10*k - 7*k. Let u(q) = 2*q. Let j(b) = -1. Let x(a) = -3*j(a) - u(a). Let z(o) = -1 + 5 + 0 - 3*o. Give k*x(m) + 3*z(m).
-m
Let o(v) = 7*v**3 + 8*v - 8. Let c(i) = -11*i**3 - i + 2*i - 4 + 12*i**3 + 3. What is -40*c(x) + 5*o(x)?
-5*x**3
Let p(s) = -8*s**3 - 4*s**2 - 5*s - 6. Let v(y) = 23*y**3 + 11*y**2 + 14*y + 17. What is -17*p(a) - 6*v(a)?
-2*a**3 + 2*a**2 + a
Let a(m) = -150*m**2 - 7*m - 7. Let f(d) = -50*d**2 - 2*d - 2. Calculate -2*a(k) + 7*f(k).
-50*k**2
Let h(c) = c**3 + 7*c**2 - 3*c + 4. Let w(t) = -t**3 - 6*t**2 + 2*t - 3. What is 3*h(z) + 4*w(z)?
-z**3 - 3*z**2 - z
Let k(s) = 9*s**3 + 6*s**2 + 5*s - 6. Let f(c) = -8*c**3 - 5*c**2 - 5*c + 5. Let z(q) = 6*f(q) + 5*k(q). Let d(j) = -j. What is -5*d(n) + z(n)?
-3*n**3
Let b(w) = 10*w**3 + 4*w**2 - 2*w + 5. Let n(y) = -21*y**3 - 9*y**2 + 5*y - 11. Give 9*b(g) + 4*n(g).
6*g**3 + 2*g + 1
Suppose -3*c + 26 = 32. Let r(m) = -9*m**2 + 5*m - 5. Let a(o) = 4*o**2 - 2*o + 2. Calculate c*r(q) - 5*a(q).
-2*q**2
Let o(p) = 5*p**2 + 7*p - 7. Suppose 0 = 12*g - 16*g - 24. Let v(y) = 3*y**2 - 4*y - 2. Let m(i) = i**2 - 1. Let d(s) = g*m(s) + v(s). Give 7*d(n) + 4*o(n).
-n**2
Let s(f) = -6*f - 25. Let a(n) = -5*n - 25. Calculate 7*a(h) - 6*s(h).
h - 25
Let p(w) = -5*w + 8. Let y(z) = -14*z + 23. Determine 17*p(n) - 6*y(n).
-n - 2
Let c(h) = -h**2 - 4*h + 6. Let l(p) = -2*p**2 - 9*p + 13. Let n(m) = 13*m. Let y be n(1). Let f = 316 + -322. Determine f*l(q) + y*c(q).
-q**2 + 2*q
Let o(a) = -a**3 + 7*a**2 + 7*a + 10. Let h be o(8). Suppose -h*n - 10 = -0*n. Let t(l) = -3*l + 10. Let q(k) = -2*k + 7. What is n*t(i) + 7*q(i)?
i - 1
Let o(b) = -b. Let c(r) = 2*r**2 + 8*r + 2. Let f = -58 - -59. Give f*c(k) + 6*o(k).
2*k**2 + 2*k + 2
Let v(t) = t + 1. Let l(r) = -6*r. What is -l(n) - 2*v(n)?
4*n - 2
Let t(o) = 2*o + 5. Let x be t(-5). Let w(m) = -m**2 - 3. Let f(z) = -z**2 - 4. Let s(v) = -3*f(v) + 4*w(v). Let u(y) = -4*y**2 + 2*y. Give x*s(j) + u(j).
j**2 + 2*j
Suppose -5*d - 29 = -4*n + 145, -3*d - 3*n - 99 = 0. Let h = 17 + d. Let z(k) = 7*k - 6. Let v(p) = -20*p + 17. Calcu
|
{
"pile_set_name": "DM Mathematics"
}
|
n -2918, -0.4, 11, 3?
11
What is the second smallest value in 1/3, 3/103, -512?
3/103
Which is the third biggest value? (a) -2 (b) -0.2 (c) -119/6 (d) -2/2203 (e) 6/7
b
Which is the smallest value? (a) 1/2 (b) 5 (c) 715 (d) -6628
d
What is the smallest value in -0.032, -5, 90/11, -1, 4, -7?
-7
Which is the smallest value? (a) 29 (b) 0.087 (c) -2962
c
What is the second smallest value in 40, 0.1, -24/5, 5, 3, -285?
-24/5
Which is the third smallest value? (a) -5 (b) 0.171 (c) 1433983
c
What is the second biggest value in -0.034, 1/2, 758?
1/2
Which is the biggest value? (a) -2 (b) 2 (c) 5 (d) 0.027 (e) 358 (f) 24
e
What is the fourth biggest value in 3, 54, 0.2, 5, 28, 4/9, 4?
4
Which is the third biggest value? (a) 4 (b) 1 (c) -24/14069 (d) 0
d
Which is the second smallest value? (a) 2/4037 (b) 2.8 (c) 0.5 (d) -2
a
What is the second smallest value in 0.1, 5745, 1/165, -5?
1/165
What is the fifth smallest value in 2, -1/7, 0, -1/3, 4, 142437, 2/3?
2
Which is the second biggest value? (a) 22617 (b) -2 (c) -96
b
What is the third smallest value in -60531, 1/5, -3/7, 57?
1/5
What is the third smallest value in -485/6, 271, -0.5, -4?
-0.5
What is the second smallest value in -5, -10/29, 1, -22738, 0.4, -1/8?
-5
What is the biggest value in -2/23, 0.036962, 2/9, -0.5, 0.3, -2?
0.3
Which is the smallest value? (a) -12/4171 (b) -18 (c) 1 (d) -4/5
b
What is the third biggest value in 0.02, 4, -4/61, -9, 1/9?
0.02
Which is the biggest value? (a) 2/3 (b) -12 (c) -1 (d) 2.082 (e) 64
e
Which is the third smallest value? (a) 4/3 (b) -1/4 (c) 1/1291 (d) 5030 (e) 2
a
What is the smallest value in -28/5, -0.3, -0.5, -4, -0.1, -3/5, -2/3425?
-28/5
Which is the third biggest value? (a) 3.4 (b) 2/9 (c) -2/39 (d) -0.29 (e) -3
c
What is the third biggest value in -575/17, 3, -6954?
-6954
What is the second biggest value in 8898, -0.3, 12, 59?
59
Which is the second biggest value? (a) -0.1 (b) -2/21 (c) 1525/19 (d) 2/3 (e) -16
d
What is the fifth biggest value in 16, -6, -51, 5, -3/4, 0.109, -1/5?
-3/4
Which is the sixth biggest value? (a) 0 (b) 1/5 (c) 2/45 (d) -138 (e) -1/4 (f) -0.05
d
What is the sixth smallest value in -1/3, -864, 0.2, -5, -2.1, -0.3?
0.2
What is the third smallest value in -4, 381, 18, 3/5, 0.5?
3/5
Which is the fifth smallest value? (a) 0.3 (b) 6 (c) -5 (d) 1/3 (e) 3 (f) -50199 (g) -0.1
d
What is the fifth biggest value in 5.5, 1.3, -2, 16/49, 1?
-2
What is the third smallest value in 0.07, 4/11, -5106, 1/13?
1/13
Which is the biggest value? (a) 2.2 (b) 62 (c) -4/47 (d) -1/4 (e) 1/32
b
Which is the biggest value? (a) -5 (b) 2499.13 (c) -1.4 (d) 0.5
b
What is the sixth biggest value in 0, -26, -6, -1, -21345, 0.1, 2/13?
-26
What is the second smallest value in 1, -0.2, -5, 3125012, 5?
-0.2
What is the fifth smallest value in -1, 19264, 0.3, 1/2, 2, -2?
2
What is the fourth smallest value in 4/65, -1/10, 6.13, -12?
6.13
What is the smallest value in 4, 97, 3/13, -39, 2, -0.07, -5/6?
-39
What is the second biggest value in 3, -2028, -0.998, -3?
-0.998
Which is the second smallest value? (a) 13029 (b) -0.05 (c) -3/2 (d) -12/5
c
What is the smallest value in 0.33352, 0, -7/4, -2/3?
-7/4
Which is the fourth biggest value? (a) 6.9 (b) -0.11 (c) -4 (d) -5 (e) -1/5
c
What is the third smallest value in 0.014, 23, -3/695?
23
Which is the second biggest value? (a) 0 (b) -550720 (c) 5/2
a
Which is the second smallest value? (a) 1 (b) 2 (c) 2/23 (d) 3/4 (e) -0.1 (f) -43.566
e
Which is the second smallest value? (a) 12 (b) -0.13 (c) -0.45 (d) 0.193
b
Which is the second smallest value? (a) 17/15 (b) 0.011 (c) 11.1 (d) 3/7 (e) 0
b
What is the second smallest value in 4, 621, 26, 1.99?
4
What is the third biggest value in 18, -5, 3, 0.12, -1/3, -13?
0.12
Which is the smallest value? (a) 437323 (b) 2 (c) -1 (d) 0.1 (e) -3
e
What is the second smallest value in -0.079, 2, -3.8, -0.4, -43.4?
-3.8
What is the third biggest value in -8, 1/6, -1/2, -28698?
-8
What is the smallest value in -3, -7, 71, -3/8, -23?
-23
What is the biggest value in 133, 1/3, -18.68, 2?
133
Which is the smallest value? (a) 0.15 (b) 0 (c) -0.204895 (d) -4
d
Which is the biggest value? (a) 10 (b) -144801 (c) -13 (d) 0 (e) 4
a
What is the second biggest value in 1998, 65623, -2/13?
1998
Which is the second smallest value? (a) -0.2 (b) 3/2 (c) 450165
b
What is the smallest value in 6, -3/2, 522655, 0.3, -2/5?
-3/2
Which is the third biggest value? (a) 1 (b) 0.16 (c) 112546 (d) 4
a
Which is the third smallest value? (a) 1471 (b) -2/4949 (c) 1/19 (d) -2
c
What is the seventh smallest value in -245/4, 2, -2/15, -172, -2, -0.4, -0.1?
2
What is the third biggest value in 0.13, -5, -2/15, 1, -1962, 4/5?
0.13
Which is the third biggest value? (a) 1.4 (b) -0.09 (c) 14 (d) 2/1559
d
Which is the third biggest value? (a) -2 (b) 2 (c) -1/2 (d) 204 (e) -97 (f) 1191
b
Which is the seventh smallest value? (a) -1 (b) 2/3 (c) -1/2 (d) 1/5 (e) 2 (f) -1197 (g) 1/2
e
Which is the second smallest value? (a) -3 (b) -1 (c) -3/2 (d) 52319 (e) 3
c
What is the smallest value in -2, 14, 0, 2, 99/5?
-2
Which is the third smallest value? (a) 419 (b) -1/5 (c) -0.3 (d) -97 (e) -0.93
c
What is the third smallest value in 228/757, -2, -142, 5?
228/757
Which is the second smallest value? (a) -12 (b) -0.2 (c) -2 (d) -7 (e) -4.922
d
What is the smallest value in 4, -0.12, 16.99, -32/27?
-32/27
What is the biggest value in 21306, -5, -3, -0.41, 2/9?
21306
Which is the fourth smallest value? (a) 9 (b) 2 (c) -3 (d) 5 (e) -160 (f) -36/7 (g) -0.1
g
What is the smallest value in -0.24, -16, -1/302, 3/5, 5?
-16
What is the fifth biggest value in 0.5, -32, -3.6, -0.2, 25/8?
-32
What is the smallest value in -32, 14, 36, 0, -1.6?
-32
Which is the third smallest value? (a) -1168 (b) -2 (c) 2 (d) 23/108
d
What is the second smallest value in 0, 27/11, -0.3, -8.5, 5?
-0.3
Which is the third smallest value? (a) -28 (b) 1619 (c) -0.001
b
What is the fourth biggest value in -1092, 2.2, -6, -0.06?
-1092
What is the second biggest value in -1.335, 48, 0.5, 62, 3?
48
What is the second biggest value in 34359274, -1, 0.1?
0.1
What is the third biggest value in 0.3, 11561623, -1/6, 1/7?
1/7
What is the second biggest value in 0.01, -2/47, -4, 947, -2/13, 0, -8?
0.01
What is the fourth biggest value in 0.1, -59, 2, 1, 4, 2/55?
0.1
Which is the sixth biggest value? (a) -0.4 (b) 4 (c) -7 (d) 1787 (e) 4/87 (f) 1/3
c
Which is the second smallest value? (a) -2/3 (b) 2/9 (c) -0.8 (d) 43 (e) -0.7 (f) -14
c
Which is the third smallest value? (a) -437/425 (b) -9 (c) 1/3
c
What is the second biggest value in 108, 15/17, -0.1, -135?
15/17
What is the fourth biggest value in 3, 0.2, 1.28, 55, 2, 6/7, 0.07?
1.28
Which is the second biggest value? (a) -0.05 (b) -645/8 (c) -0.11
c
Which is the fifth smallest value? (a) -1 (b) -0.5549543 (c) 3 (d) 5 (e) 1/4
d
What is the fourth biggest value in 0.1, 1, 6, 21/8, -12897, 3?
1
What is the third biggest value in -0.19, -10772, 0.19, -3, 2/7?
-0.19
What is the second biggest value in 4, 23/4, 3/8, -5/6, 2, 0.32, 8?
23/4
What is the smallest value in 16096/5, 13, -0.1?
-0.1
Which is the second smallest value? (a) -5312/11 (b) 0 (c) 2/41 (d) -2/5
d
Which is the fourth biggest value? (a) -1 (b) 2554 (c) -15 (d) -2
c
What is the sixth biggest value in 2/3, -7, -13, 0.349, -4/7, -5?
-13
Which is the biggest value? (a) 0.4 (b) -1/7 (c) 0 (d) -132718 (e) 0.2 (f) -4 (g) 2
g
What is the third smallest value in 0.1, -173241719, 0.3?
0.3
What is the smallest value in 605, -2, 71, 4, -5, -1/8?
-5
Which is the second biggest value? (a) 4/51 (b) -0.4 (c) -0.009767
c
Which is the third smallest value? (a) 4 (b) -0.03 (c) 62 (d) 175 (e) -0.08
a
What is the third biggest value in 137, 2, -6.053?
-6.053
Which is the sixth biggest value? (a) 84/5 (b) 0.2 (c) -2 (d) 3.365 (e) 4 (f) -5 (g) 1/4
c
What is the second smallest value in -12, -3/5, -0.591, -7.91?
-7.91
What is the third smallest value in 56, -0.4, -3/5, -1, 5/44, -3?
-3/5
What is the seventh smallest value in 0.5, -4, -49/6, 1/3, 0.1, 33, -3?
33
W
|
{
"pile_set_name": "DM Mathematics"
}
|
1, a: 1, q: 11}. What is prob of picking 1 i and 1 q?
11/78
Calculate prob of picking 1 p and 1 w when two letters picked without replacement from lpxwf.
1/10
Two letters picked without replacement from fzgxhhz. Give prob of picking 1 g and 1 h.
2/21
Three letters picked without replacement from moogmmmggoyyoe. Give prob of picking 2 m and 1 e.
3/182
Calculate prob of picking 3 l and 1 i when four letters picked without replacement from lifdp.
0
Two letters picked without replacement from {t: 12, j: 6}. What is prob of picking 2 j?
5/51
Four letters picked without replacement from {x: 14, g: 5}. What is prob of picking 2 x and 2 g?
455/1938
Calculate prob of picking 1 r, 1 o, and 2 a when four letters picked without replacement from oaaroaaraoooaooaaa.
14/85
Four letters picked without replacement from wxwiwiw. Give prob of picking 3 w and 1 i.
8/35
Two letters picked without replacement from dghdkgvkhkfk. Give prob of picking 1 g and 1 h.
2/33
Two letters picked without replacement from pprpprpp. What is prob of picking 2 r?
1/28
Two letters picked without replacement from {f: 1, j: 2}. Give prob of picking 1 f and 1 j.
2/3
Calculate prob of picking 1 f and 1 k when two letters picked without replacement from ksnynfyknynssnn.
2/105
Calculate prob of picking 1 y, 1 s, and 1 i when three letters picked without replacement from iyggsyila.
1/21
Calculate prob of picking 1 p and 3 y when four letters picked without replacement from yyppyyypypy.
14/33
What is prob of picking 1 d, 1 w, and 1 z when three letters picked without replacement from pwxppzpppppzxpzppd?
1/272
Four letters picked without replacement from {u: 3, m: 9, a: 2, i: 2, j: 3}. What is prob of picking 1 i and 3 j?
1/1938
Calculate prob of picking 4 p when four letters picked without replacement from pppppppvppppppvv.
11/28
Two letters picked without replacement from lldlllkdlvkdkk. What is prob of picking 2 d?
3/91
Calculate prob of picking 1 v and 3 g when four letters picked without replacement from ggvgm.
1/5
What is prob of picking 1 i and 1 p when two letters picked without replacement from iip?
2/3
What is prob of picking 1 d and 1 s when two letters picked without replacement from {s: 1, t: 5, d: 5}?
1/11
Two letters picked without replacement from {r: 2, f: 10, g: 4}. Give prob of picking 2 g.
1/20
Calculate prob of picking 1 a and 1 f when two letters picked without replacement from ttgptafgtgtbfag.
4/105
What is prob of picking 1 s, 1 p, and 1 f when three letters picked without replacement from sfapfpasf?
1/7
Two letters picked without replacement from {w: 1, o: 9, u: 4}. Give prob of picking 2 o.
36/91
What is prob of picking 1 g and 1 x when two letters picked without replacement from {g: 5, s: 1, x: 4, t: 1}?
4/11
Four letters picked without replacement from mkrrvrmvurrkrmrrrrw. What is prob of picking 1 v, 1 r, 1 m, and 1 k?
10/323
Calculate prob of picking 1 o, 1 n, and 1 u when three letters picked without replacement from ooiuunodnddiu.
9/143
What is prob of picking 1 p and 3 b when four letters picked without replacement from pbbpbpopboppp?
28/715
Two letters picked without replacement from sccsccs. What is prob of picking 1 c and 1 s?
4/7
What is prob of picking 1 j and 1 f when two letters picked without replacement from feqfefviqfjfq?
5/78
Two letters picked without replacement from {j: 4, o: 3, u: 1, l: 2, q: 6}. Give prob of picking 1 q and 1 j.
1/5
Four letters picked without replacement from zwwzwzzzzz. Give prob of picking 4 z.
1/6
What is prob of picking 3 w when three letters picked without replacement from qqwwwwwwwwwwwwwwww?
35/51
What is prob of picking 1 m, 1 s, and 1 a when three letters picked without replacement from {a: 9, m: 4, h: 1, s: 3, b: 2}?
36/323
Four letters picked without replacement from ttfifiittifti. What is prob of picking 2 i and 2 t?
20/143
Four letters picked without replacement from {u: 2, o: 4, y: 4}. Give prob of picking 2 y and 2 o.
6/35
Calculate prob of picking 1 o, 1 c, and 1 p when three letters picked without replacement from pcofvpg.
2/35
Two letters picked without replacement from {c: 2, e: 10, w: 3, l: 1, p: 1, a: 2}. What is prob of picking 1 w and 1 p?
1/57
What is prob of picking 2 c, 1 t, and 1 v when four letters picked without replacement from cpprcvccvcrctthppcc?
28/969
Four letters picked without replacement from uhuuhhuhuuuhuhulww. Give prob of picking 1 h and 3 u.
14/85
Calculate prob of picking 2 m and 1 u when three letters picked without replacement from ummmuuummuumummmmuu.
135/323
Three letters picked without replacement from yjzjszxp. What is prob of picking 1 s, 1 p, and 1 x?
1/56
Two letters picked without replacement from wcccwwzwczwzvvwczcv. What is prob of picking 2 z?
2/57
What is prob of picking 1 j and 1 l when two letters picked without replacement from {e: 1, h: 3, j: 1, t: 3, l: 2}?
2/45
Two letters picked without replacement from nnnuun. What is prob of picking 1 n and 1 u?
8/15
What is prob of picking 2 g when two letters picked without replacement from ggffrrfgrrrg?
1/11
What is prob of picking 2 j and 1 h when three letters picked without replacement from qhqhhqhghhjjl?
3/143
What is prob of picking 4 d when four letters picked without replacement from {z: 7, u: 3, d: 8}?
7/306
Two letters picked without replacement from jmjerrjtjejejrjueejt. Give prob of picking 1 u and 1 m.
1/190
Four letters picked without replacement from kaakaaakaa. What is prob of picking 1 k and 3 a?
1/2
What is prob of picking 1 t, 1 g, and 1 z when three letters picked without replacement from tpgptfznppgtptpzn?
2/85
Three letters picked without replacement from {t: 8, r: 2}. What is prob of picking 3 t?
7/15
Four letters picked without replacement from xrrxqrrn. What is prob of picking 1 n and 3 r?
2/35
Four letters picked without replacement from hmhnn. What is prob of picking 2 n and 2 h?
1/5
Calculate prob of picking 1 f, 1 l, and 2 a when four letters picked without replacement from ahfpffahffhli.
1/143
What is prob of picking 1 l and 1 d when two letters picked without replacement from {d: 1, j: 1, k: 2, l: 2, e: 1}?
2/21
What is prob of picking 1 p and 1 h when two letters picked without replacement from phiaitll?
1/28
Two letters picked without replacement from {u: 2, c: 1, m: 1, b: 1, f: 1, g: 1}. What is prob of picking 1 f and 1 b?
1/21
Two letters picked without replacement from {n: 6}. What is prob of picking 2 n?
1
Three letters picked without replacement from ssppssssokosksssssao. Give prob of picking 1 o and 2 p.
1/380
Two letters picked without replacement from pagaaaaragggagpaggga. Give prob of picking 1 p and 1 a.
9/95
Calculate prob of picking 4 t when four letters picked without replacement from {h: 3, t: 1, o: 1, g: 2, u: 2, w: 3}.
0
Two letters picked without replacement from {p: 2, b: 1, q: 1, e: 1}. Give prob of picking 1 b and 1 q.
1/10
What is prob of picking 1 v and 1 r when two letters picked without replacement from {v: 4, l: 1, r: 5}?
4/9
Three letters picked without replacement from qqrqqqqqrqqqqqqqqq. Give prob of picking 3 r.
0
Calculate prob of picking 1 f and 1 l when two letters picked without replacement from fly.
1/3
What is prob of picking 2 n when two letters picked without replacement from nenennnnnnnn?
15/22
Four letters picked without replacement from zzxxzzxxxx. What is prob of picking 2 z and 2 x?
3/7
Four letters picked without replacement from vvdvmywywv. What is prob of picking 3 v and 1 d?
2/105
Four letters picked without replacement from gmxxmmmom. Give prob of picking 1 g and 3 m.
5/63
Calculate prob of picking 2 s when two letters picked without replacement from {k: 2, s: 5}.
10/21
Three letters picked without replacement from {i: 4, z: 7, f: 7}. Give prob of picking 1 f and 2 i.
7/136
Calculate prob of picking 1 w and 2 c when three letters picked without replacement from chhhhchchhhccwhw.
1/28
What is prob of picking 1 d and 1 t when two letters picked without replacement from thhdhhdd?
3/28
Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {r: 1, f: 1, h: 1}.
1/3
Calculate prob of picking 4 m when four letters picked without replacement from mmnmbmnmbnnnbmnbm.
1/68
Calculate prob of picking 1 b and 2 m when three
|
{
"pile_set_name": "DM Mathematics"
}
|
der when 306 is divided by 13?
7
What is the remainder when 68 is divided by 10?
8
What is the remainder when 501 is divided by 63?
60
Calculate the remainder when 144 is divided by 19.
11
Calculate the remainder when 14013 is divided by 24.
21
Calculate the remainder when 873 is divided by 38.
37
What is the remainder when 5667 is divided by 2831?
5
Calculate the remainder when 285 is divided by 27.
15
What is the remainder when 1041 is divided by 6?
3
Calculate the remainder when 471 is divided by 118.
117
What is the remainder when 241 is divided by 116?
9
What is the remainder when 173 is divided by 66?
41
What is the remainder when 31094 is divided by 426?
422
Calculate the remainder when 1651 is divided by 46.
41
What is the remainder when 1677 is divided by 80?
77
Calculate the remainder when 1580 is divided by 14.
12
What is the remainder when 677 is divided by 116?
97
What is the remainder when 166 is divided by 49?
19
What is the remainder when 236 is divided by 34?
32
What is the remainder when 1993 is divided by 993?
7
What is the remainder when 695 is divided by 50?
45
Calculate the remainder when 2841 is divided by 14.
13
What is the remainder when 248 is divided by 50?
48
What is the remainder when 106 is divided by 56?
50
Calculate the remainder when 102 is divided by 53.
49
Calculate the remainder when 474 is divided by 41.
23
Calculate the remainder when 188 is divided by 8.
4
Calculate the remainder when 803 is divided by 4.
3
What is the remainder when 1332 is divided by 29?
27
Calculate the remainder when 83 is divided by 30.
23
Calculate the remainder when 1024 is divided by 10.
4
Calculate the remainder when 1212 is divided by 24.
12
Calculate the remainder when 362 is divided by 57.
20
What is the remainder when 3688 is divided by 30?
28
Calculate the remainder when 240 is divided by 115.
10
Calculate the remainder when 82 is divided by 74.
8
Calculate the remainder when 53 is divided by 8.
5
Calculate the remainder when 458 is divided by 11.
7
What is the remainder when 1045 is divided by 121?
77
Calculate the remainder when 266 is divided by 36.
14
What is the remainder when 615 is divided by 73?
31
What is the remainder when 10709 is divided by 34?
33
Calculate the remainder when 1705 is divided by 34.
5
What is the remainder when 806 is divided by 262?
20
Calculate the remainder when 2194 is divided by 36.
34
Calculate the remainder when 506 is divided by 166.
8
What is the remainder when 195 is divided by 34?
25
What is the remainder when 5414 is divided by 8?
6
What is the remainder when 5 is divided by 4?
1
What is the remainder when 508 is divided by 3?
1
What is the remainder when 614 is divided by 56?
54
Calculate the remainder when 2913 is divided by 11.
9
What is the remainder when 47 is divided by 27?
20
What is the remainder when 736 is divided by 186?
178
Calculate the remainder when 224 is divided by 38.
34
What is the remainder when 36 is divided by 19?
17
Calculate the remainder when 372 is divided by 95.
87
What is the remainder when 2680 is divided by 888?
16
What is the remainder when 4937 is divided by 53?
8
Calculate the remainder when 738 is divided by 20.
18
What is the remainder when 2992 is divided by 158?
148
Calculate the remainder when 162 is divided by 44.
30
Calculate the remainder when 948 is divided by 161.
143
What is the remainder when 79 is divided by 22?
13
What is the remainder when 4221 is divided by 48?
45
What is the remainder when 871 is divided by 130?
91
What is the remainder when 108 is divided by 43?
22
Calculate the remainder when 1150 is divided by 81.
16
Calculate the remainder when 1590 is divided by 4.
2
Calculate the remainder when 189 is divided by 19.
18
What is the remainder when 242 is divided by 128?
114
Calculate the remainder when 797 is divided by 16.
13
What is the remainder when 978 is divided by 480?
18
What is the remainder when 727 is divided by 363?
1
What is the remainder when 415 is divided by 83?
0
What is the remainder when 3210 is divided by 13?
12
Calculate the remainder when 1263 is divided by 83.
18
What is the remainder when 131 is divided by 113?
18
What is the remainder when 1333 is divided by 20?
13
What is the remainder when 857 is divided by 145?
132
What is the remainder when 343 is divided by 51?
37
Calculate the remainder when 136 is divided by 79.
57
Calculate the remainder when 223 is divided by 26.
15
Calculate the remainder when 3262 is divided by 102.
100
What is the remainder when 10065 is divided by 7?
6
Calculate the remainder when 18214 is divided by 92.
90
Calculate the remainder when 2076 is divided by 65.
61
Calculate the remainder when 70 is divided by 62.
8
Calculate the remainder when 1323 is divided by 39.
36
What is the remainder when 2538 is divided by 41?
37
Calculate the remainder when 2912 is divided by 162.
158
Calculate the remainder when 2076 is divided by 31.
30
Calculate the remainder when 231 is divided by 66.
33
Calculate the remainder when 353 is divided by 26.
15
What is the remainder when 80 is divided by 6?
2
What is the remainder when 249 is divided by 41?
3
Calculate the remainder when 184 is divided by 19.
13
Calculate the remainder when 1627 is divided by 397.
39
What is the remainder when 158 is divided by 8?
6
Calculate the remainder when 1407 is divided by 39.
3
What is the remainder when 2450 is divided by 145?
130
Calculate the remainder when 1295 is divided by 65.
60
Calculate the remainder when 156 is divided by 17.
3
Calculate the remainder when 167 is divided by 7.
6
Calculate the remainder when 466 is divided by 67.
64
Calculate the remainder when 96 is divided by 6.
0
Calculate the remainder when 195 is divided by 54.
33
What is the remainder when 797 is divided by 6?
5
What is the remainder when 1011 is divided by 73?
62
Calculate the remainder when 461 is divided by 450.
11
Calculate the remainder when 2127 is divided by 26.
21
What is the remainder when 51448 is divided by 245?
243
What is the remainder when 250 is divided by 44?
30
Calculate the remainder when 66 is divided by 59.
7
What is the remainder when 159 is divided by 23?
21
What is the remainder when 250 is divided by 42?
40
What is the remainder when 1273 is divided by 56?
41
Calculate the remainder when 261 is divided by 84.
9
Calculate the remainder when 169 is divided by 25.
19
Calculate the remainder when 80 is divided by 43.
37
Calculate the remainder when 7361 is divided by 37.
35
What is the remainder when 418 is divided by 24?
10
What is the remainder when 1327 is divided by 634?
59
Calculate the remainder when 78 is divided by 26.
0
What is the remainder when 136 is divided by 45?
1
What is the remainder when 2098 is divided by 11?
8
What is the remainder when 424 is divided by 101?
20
Calculate the remainder when 109 is divided by 4.
1
Calculate the remainder when 1685 is divided by 42.
5
Calculate the remainder when 376 is divided by 43.
32
What is the remainder when 214 is divided by 7?
4
What is the remainder when 350 is divided by 116?
2
What is the remainder when 6511 is divided by 296?
295
Calculate the remainder when 350 is divided by 39.
38
What is the remainder when 45 is divided by 16?
13
Calculate the remainder when 66 is divided by 35.
31
Calculate the remainder when 277 is divided by 40.
37
What is the remainder when 137 is divided by 49?
39
Calculate the remainder when 1021 is divided by 14.
13
Calculate the remainder when 269 is divided by 73.
50
What is the remainder when 930 is divided by 104?
98
Calculate the remainder when 614 is divided by 47.
3
Calculate the remainder when 112 is divided by 25.
12
Calculate the remainder when 517 is divided by 202.
113
What is the remainder when 118 is divided by 94?
24
Calculate the remainder when 718 is divided by 354.
10
Calculate the remainder when 127 is divided by 72.
55
What is the remainder when 80 is divided by 52?
28
What is the remainder when 452 is divided by 35?
32
What is the remainder when 662 is divided by 18?
14
What is the remainder when 35529 is divided by 27?
24
Calculate the remainder when 805 is divided by 158.
15
Calculate the remainder when 1946 is divided by 33.
32
Calculate the remainder when 185 is divided by 50.
35
Calculate the r
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 6*y**2 + y**2 - 6*y**2. Give c(4).
0
Let n = -20 + 36. Let q(x) = -2 - x**3 - 3 + n - 9 + x**2. Calculate q(3).
-16
Let r(i) = -3*i**2 - i. Let g(d) = d - 6. Let k be g(8). Suppose 1 = -k*v + v. Give r(v).
-2
Let h(q) = 0*q + 2 - 49*q**2 + 50*q**2 - 6*q - 1. Give h(8).
17
Suppose -3*y = 26 - 5. Let c(b) be the second derivative of b**5/120 + 5*b**4/12 - b**3/6 - 19*b. Let q(n) be the second derivative of c(n). What is q(y)?
3
Let o(c) = 2*c**2 - c. Let n(v) = 9*v**2 - 15*v - 11. Let h(l) = -n(l) + 5*o(l). Calculate h(-7).
-10
Let g(i) = 2*i - 2. Let r(u) = -5*u - 10. Let k(t) = 4*g(t) + r(t). Determine k(7).
3
Let o = 7 + -11. Let t(f) be the third derivative of f**5/15 + f**4/6 + f**3/6 - 26*f**2. Let r(b) = -2*b**2 + 1. Let x(l) = r(l) + t(l). Calculate x(o).
18
Let z(y) = y - 6. Let o(g) = g - 7. Let t(b) = 3*o(b) - 4*z(b). Give t(3).
0
Let z(d) = -d**3 + 1181*d**2 + 3 - 1181*d**2. Determine z(3).
-24
Let c(d) = 5*d**2 - 54*d - 6. Let n(r) = r**2 - 10*r - 1. Let a(s) = -2*c(s) + 11*n(s). What is a(3)?
4
Let w(z) = z**2 + 6*z + 6. Suppose 0 = -2*b - b. Suppose -3*x = 3, -3*x + 7 = -b*c - 5*c. Let n be (-1)/((-2)/5)*c. What is w(n)?
1
Let b(c) = -4 + 5813*c**2 - 5809*c**2 - 3 + 2 - 17*c**3. Let o(t) = -17*t**3 + 3*t**2 - 4. Let i = 13 - 7. Let x(m) = i*o(m) - 5*b(m). Calculate x(1).
-18
Suppose 0 = 5*f - 4*f - 19. Suppose 2*c - 3*h = -0*c - 17, h = 4*c + f. Let m(p) = p**2 + 2*p - 2. What is m(c)?
6
Let o(w) = 11*w - 22. Let m be o(2). Let z(y) = -y**3 + y**2 + y + 10. Calculate z(m).
10
Suppose 0 = 81*z - 76*z - 35. Let n(c) = c - 5. Determine n(z).
2
Let x(i) = -12*i + 140. Let y be x(12). Let a(s) = -s**3 - 6*s**2 - 12*s - 10. What is a(y)?
6
Let d(m) = -6*m - 34. Let t be d(-7). Let h(f) = f**2 - 10*f. Give h(t).
-16
Let d(v) = 7*v**2 + 26*v + 29. Let l(t) = 4*t**2 + 13*t + 15. Let b(w) = 3*d(w) - 5*l(w). Calculate b(-12).
0
Suppose 4*t = -4, 0*r - 4*r + 20 = 4*t. Let v(l) = r - l + 2*l - l - l. Give v(5).
1
Let a be (-512)/56 - ((-24)/(-4))/(-42). Let u(r) = -r**3 - 10*r**2 - 5*r + 4. Give u(a).
-32
Let b(h) = h**2 + 5*h - 9. Let x(d) be the first derivative of -5*d**2/2 - 2*d - 91. Suppose 4*k = 1 - 5, 2*k = g - 3. Let o be x(g). Determine b(o).
5
Let t(n) be the second derivative of 0 - 1/20*n**5 + 4*n + 0*n**3 + 2/3*n**4 - 2*n**2. Determine t(8).
-4
Let v be 2 - (2 - -20) - -4. Let m = -11 - v. Let n(l) = m*l**2 - 6*l - l**3 + 5*l - 7 + 6*l. Calculate n(6).
-13
Let x(g) = g + 1. Let j(q) = -q - 2 + 7*q + 5 - q. Let p(z) = -j(z) + 4*x(z). Suppose 0 = 5*a - 3 - 7. Determine p(a).
-1
Suppose 4*s + 2*q + 106 = -0*q, -3*q = 15. Let k be s/(-14) - (-2)/7. Let a(u) = -16*u**2 + 14*u**k + 3*u - 4*u. Determine a(2).
-10
Let s(x) = 5*x - 7. Let g(j) = -26*j + 41. Let l(t) = -26*t + 40. Let y(i) = 5*g(i) - 6*l(i). Let f(a) = -11*s(a) + 2*y(a). Determine f(6).
-11
Suppose 2*f + 8 = 4. Let v be (f + 1 - 0)*-2. Let r(a) = -3*a + 1 - v + 1. What is r(-1)?
3
Let n(z) = 4*z**2 + z + 3. Let g(q) = 3*q**2 + q + 3. Let m(u) = 5*g(u) - 4*n(u). Give m(3).
-3
Let c(f) = 418 + 2*f - 421 + 4*f - 5*f. Let l(v) = v - 1. Let h be l(1). What is c(h)?
-3
Let g(r) = r**2 + 7*r + 7. Let o be (8/(-6))/((-16)/24). Suppose -11 = 3*x - 4*b, -x - o*b = -0*x + 7. Calculate g(x).
-3
Suppose -2*h - 9 = -11. Let p be (6/(-5))/(3/10). Let l = h - p. Let z(k) = -2*k**2 + 8*k - 3. Calculate z(l).
-13
Let x(h) = h**2 - h - 5. Let r = 10 - 8. Suppose -6*c + r*c - 9 = -5*g, 5*c + 5*g = 45. Suppose 0*u - c*o = 2*u - 12, 2*u - 15 = -5*o. What is x(u)?
-5
Let r be -6 + (9/(-27))/(1/(-3)). Let n be (-4 - r)/((-2)/(-8)). Let z(d) = 4*d + 4. Calculate z(n).
20
Suppose q = 4*j - 31, 10*j = 8*j + q + 17. Let k(o) = o**2 - 5*o - 3. Calculate k(j).
11
Let f(v) = 2*v**2 + v - 1. Let l(y) = -5*y**2 - 3. Let g(a) = 3*f(a) + l(a). Suppose 2*b + 4 = -8. What is g(b)?
12
Let c(m) = -20*m + 7 + 9*m + 4*m + 6*m - 14. Give c(-7).
0
Let s(i) = -i**3 - i**2 + i + 1. Suppose 405*q = 425*q - 60. Determine s(q).
-32
Let t(u) = 2*u - u - 2 + 3*u - 2*u. Let l(j) = j**2 + j. Let x(o) = o**3 - 2*o**2 - 6*o + 3. Let v(p) = -6*l(p) - x(p). Let q be v(-4). What is t(q)?
-8
Let i(o) = -137*o**2 + 1 - 134*o**2 + 274*o**2. Determine i(1).
4
Let t(o) be the first derivative of -o**3/3 - 2*o**2 + 4*o - 1185. Suppose -2*l + 5*a - 16 = 2*a, 0 = 3*l + 2*a + 11. What is t(l)?
-1
Let l(t) = -4*t + 0 + 0 + 15*t. Calculate l(-2).
-22
Let w(p) = -2 - 4*p - 2*p + 3. Let g(b) = -2*b - 3. Let k = -26 - -25. Let s be g(k). What is w(s)?
7
Let b(l) = l**3 + 2*l**2 - 3*l - 2. Let n be b(-3). Let r(v) be the second derivative of -v**5/20 - v**4/4 - v**3/2 - v**2/2 + 18*v - 3. Determine r(n).
1
Let p(f) = -21430 - f + 21433 - 5*f. Give p(8).
-45
Let v(w) = -4*w + 26. Let h = 3 - -1. Let c(i) = -3*i + 0 + 0 - 5 + h*i. Let z(d) = 11*c(d) + 2*v(d). What is z(4)?
9
Let d(k) = k**3 - 15*k**2 + 13*k + 12. Let b be ((-7)/(-5))/((-40)/(-100))*4. Calculate d(b).
-2
Let f(a) = -a**2 + 7*a - 3. Let m be f(5). Let t(b) = -7*b**2 - 18*b + 14. Let w(v) = -3*v**2 - 9*v + 7. Let l(u) = 4*t(u) - 9*w(u). Determine l(m).
7
Let o(i) = i**3 - 8*i**2 + 3*i + 11. Let t(j) = j**3 - 10*j**2 + 4*j + 13. Let y(s) = 6*o(s) - 5*t(s). Let c = 5 - 8. Give y(c).
-2
Suppose -a + 3*a - 10 = 0. Let i(m) = 4*m - 2. Let f(w) = -2*w + 1. Let c(j) = a*f(j) + 3*i(j). Calculate c(-6).
-13
Suppose c - 24 = -2*n, -3*c - n + 120 = 2*c. Suppose 12 = 6*w - c. Let j(h) = h**3 - 6*h**2 + 2*h. Calculate j(w).
12
Let o(n) be the first derivative of n**3/3 - 5*n**2 + 3*n - 86. Let p be 9 + (-5 + 4 - -2). Calculate o(p).
3
Let j(f) be the first derivative of f**3/3 - 4*f**2 - 3*f - 1. Let k = 27 + -19. What is j(k)?
-3
Suppose 3*z = 2*v + 4, -2*z + 5*v - 22 + 10 = 0. Let j(m) = 2*m**2 + 1. Calculate j(z).
33
Let q be ((27 - 3)/(-4))/((-2)/6). Suppose -q = -h - 2*h. Let m(c) = -c**3 + 7*c**2 - 6*c - 4. Determine m(h).
-4
Let g(z) be the second derivative of 1/12*z**4 + 0 - 2*z**2 - 7*z + 2/3*z**3. Determine g(-4).
-4
Let c(w) = 33*w**3 - 4*w**2 - 3*w - 16*w**3 - 3 - 18*w**3. Let j be c(-2). Let a(u) = u + 5*u - 2*u**2 + 7 + 3*u**2. Calculate a(j).
2
Let l(n) = -15*n**3 - n**2 - 23*n + 1. Let s(m) = -10*m - m**2 + 1 - 8*m - 7*m**3 + 9*m - 2*m. Let g(x) = 6*l(x) - 13*s(x). Calculate g(-6).
-1
Let l(y) = -3*y - 9. Suppose 0*v + 30 = -5*v. Give l(v).
9
Let l(u) = u**2 - u + 1. Let s(j) = 10*j + 3. Let g(c) = l(c) + s(c). Give g(-8).
-4
Let b(u) = 3*u - 11. Suppose 75 = 5*z + 10*z. What is b(z)?
4
Let w(r) = r**3 + r**2 + r - 1. Suppose -l + 2*s = -11, 4*l + s - 9 = 2*s. Calculate w(l).
2
Let n be (-2)/(((-4)/5)/(6/(-5))). Let d(x) = -9*x**2 - 21*x - 8. Let h = 4 + -1. Let a(t) = 4*t**2 + 10*t + 4. Let p(c) = h*d(c) + 7*a(c). Give p(n).
-8
Let h(d) be the third derivative of -d**6/120 - d**5/12 + d**4/24 + 2*d**3/3 - 3*d**2 - 11. Calculate h(-6).
34
Let u(y) = y**2 + 2*y. Let j = 15 + -19. Let f be 6/2*j/6. Let g = -5 - f. What is u(g)?
3
Suppose 0 = -4*j + 82 - 74. Let c(g) = 2*g**2 + 2*g - 1. What is c(j)?
11
Let m(i) = 6*i + 45 - 88 + i**2 - 2*i - 20*i + 49. Calculate m(17).
23
Let d(l) = -6*l**2 + 2*l + 2. Suppose -7*p - 10 + 3 = 0. Give d(p).
-6
Let u(g) be the second derivative of 7/24*g**4 - 2*g + 0 - 5/3*g**3 - 4*g**2 + 1/60*g**5. Let x(j) be the first derivative of u(j). What is x(-8)?
-2
Let c(s) be the third derivative of -s**5/60 + s**4/4 + s**3/6 + 27*s**2. Let j = 40 - 56. Let v = -10 - j. What is c(v)?
1
Let q(r) = -2 + 3*r + 7 - 32. Give q(7).
-6
Let w be (23/2*(-5 - -1))/(-2). Let i(l) = -26 - w + l + 61. What is i(0)?
12
Let y = -417 + 419. Let u(z) = 2*z**3 - 3*z**2 - z + 3. Give u(y).
5
Suppose -38*m - 24 = 4*r - 36*m, 0 = 3*r + 2*m + 20. Let x(l) = -l. What is x(r)?
4
Let q(x) = 2*x - 12. Let p(o) = -5*o + 38. Let y(w) = 3*p(w) + 8*q(w). What is y(0)?
18
Let l(b) be the first derivative of 11*b**2/2 - 2*b - 9. Let v(m) = -12*m + 2. Let y(k) = -4*l(k) - 3*v(k). Determine y(2).
-14
Let o = 36 - 37. Let c = -4 + o. Let b(a) = 6 + 5*a**2 - a**3 - 3*a + 2*a**3 + 4*a. Determine b(c).
1
Let x(b) = 41 - b**2 - b**3 - 7*b + 3*b - 33 + 3*b. Determine x(0).
8
Let y(g) = -3 - g + 6 - 9. Let d be y(-9). Let b(k) = -d - 2*k + 8 - k + k. What is b(5)?
-5
Let o(f) = -4*f**3 - 10*f**2 - 8*f + 4. Let d(u) = u**3 + u**2 + u. Let x be (1 + 2/(-6))/((-30)/45). Let s(w) = x*o(w) -
|
{
"pile_set_name": "DM Mathematics"
}
|
2 rounded to three dps?
0.036
Round 0.0286879281 to three dps.
0.029
What is 0.00000494942843 rounded to seven dps?
0.0000049
Round 0.000000000662977 to seven decimal places.
0
Round -167033.845 to the nearest ten thousand.
-170000
What is -10597.8899 rounded to the nearest 10?
-10600
Round 952.8665617 to the nearest 100.
1000
What is 13908.01262 rounded to the nearest 10?
13910
What is -0.207903854 rounded to three decimal places?
-0.208
What is 0.0000234879244 rounded to 6 dps?
0.000023
What is -75.1873159 rounded to the nearest 10?
-80
What is -1.108251265 rounded to four dps?
-1.1083
Round -0.0002836760786 to five decimal places.
-0.00028
What is -68356287.9 rounded to the nearest one hundred thousand?
-68400000
What is 0.0000334241629 rounded to 7 dps?
0.0000334
What is 1376.79702 rounded to one decimal place?
1376.8
What is -0.770692425 rounded to 3 decimal places?
-0.771
What is -379435.512 rounded to the nearest 100?
-379400
Round -0.50186407 to two decimal places.
-0.5
Round 0.00060675555 to four decimal places.
0.0006
What is 130645.557 rounded to the nearest one hundred?
130600
Round -14.71209293 to 2 decimal places.
-14.71
What is 44018715.5 rounded to the nearest one hundred thousand?
44000000
What is -0.000078787389 rounded to six decimal places?
-0.000079
Round 0.7107502359 to four decimal places.
0.7108
Round 0.122913449 to 4 decimal places.
0.1229
What is -61.012567 rounded to the nearest integer?
-61
Round 700.870495 to 1 dp.
700.9
Round -10460.179 to the nearest one thousand.
-10000
What is 16948610200 rounded to the nearest 1000000?
16949000000
What is -3754.484971 rounded to the nearest 100?
-3800
What is 82554.81 rounded to the nearest one hundred?
82600
Round -0.0041749996 to six dps.
-0.004175
Round -2931.63192 to the nearest 10.
-2930
What is 0.521836406 rounded to 1 decimal place?
0.5
What is -5.6775516 rounded to 0 dps?
-6
What is -22.965137 rounded to the nearest integer?
-23
Round -428723.662 to the nearest 100000.
-400000
Round -0.00057174539 to 4 dps.
-0.0006
Round 4942.22177 to the nearest integer.
4942
Round -4.818837019 to two decimal places.
-4.82
Round -17.9561047 to the nearest 10.
-20
What is 30.2841694 rounded to one dp?
30.3
What is 4.60436522 rounded to zero dps?
5
Round 2083.82831 to the nearest 10.
2080
What is -413330.84 rounded to the nearest 100?
-413300
Round -3003739.42 to the nearest 100.
-3003700
What is 0.00000045175786 rounded to 7 decimal places?
0.0000005
Round -67131.78 to the nearest 100.
-67100
Round 42015251 to the nearest 10000.
42020000
What is 0.0000198875432 rounded to 7 decimal places?
0.0000199
Round 200.16706 to 1 dp.
200.2
Round -8936.62773 to one decimal place.
-8936.6
What is -5011.36146 rounded to the nearest integer?
-5011
What is 0.0000191228407 rounded to five dps?
0.00002
Round -0.0000048664428 to 6 dps.
-0.000005
What is -0.00000171988458 rounded to 7 dps?
-0.0000017
Round -75179.8308 to the nearest 100.
-75200
What is 0.0000079494463 rounded to 6 dps?
0.000008
What is -162766126.6 rounded to the nearest one million?
-163000000
Round 64654.2212 to the nearest 10000.
60000
What is -0.06782686293 rounded to three decimal places?
-0.068
Round 2.71568906 to 4 decimal places.
2.7157
Round 78623790.14 to the nearest ten thousand.
78620000
What is 47391.478 rounded to the nearest ten?
47390
What is 410408.4 rounded to the nearest 10000?
410000
What is 463493790 rounded to the nearest 100000?
463500000
What is -3278061.54 rounded to the nearest 1000?
-3278000
Round 0.124401468 to four dps.
0.1244
What is 17471257 rounded to the nearest ten thousand?
17470000
Round 99.81233 to the nearest 10.
100
What is 0.00000717437623 rounded to 7 decimal places?
0.0000072
Round 2743866130 to the nearest one million.
2744000000
What is -0.0006473967665 rounded to four decimal places?
-0.0006
What is -154.2007995 rounded to 1 dp?
-154.2
Round 11753.53197 to the nearest one thousand.
12000
What is 0.0000001345700984 rounded to seven dps?
0.0000001
What is -17561707.99 rounded to the nearest 1000?
-17562000
Round -2.41734474 to four dps.
-2.4173
What is -17670.3233 rounded to the nearest 10000?
-20000
Round -10096853 to the nearest one hundred thousand.
-10100000
Round 0.0001388891395 to four dps.
0.0001
Round 884.77022 to 0 dps.
885
Round -36184472.04 to the nearest one hundred thousand.
-36200000
What is 0.005643008 rounded to four decimal places?
0.0056
What is 0.0502563099 rounded to 5 decimal places?
0.05026
Round 840.72963 to 1 decimal place.
840.7
What is 0.000014601698 rounded to five decimal places?
0.00001
What is -0.657867361 rounded to two dps?
-0.66
What is 25272.9714 rounded to the nearest integer?
25273
What is 0.00000393740042 rounded to seven dps?
0.0000039
Round -109.708892 to 2 decimal places.
-109.71
Round 2953474.04 to the nearest one thousand.
2953000
What is 83027.209 rounded to the nearest 100000?
100000
What is 105.4662577 rounded to 1 decimal place?
105.5
Round -28930.383 to the nearest ten.
-28930
Round 0.00064638513 to 4 decimal places.
0.0006
What is -1421137.59 rounded to the nearest one hundred thousand?
-1400000
Round 0.0079344872 to three dps.
0.008
What is -0.000016231746 rounded to seven dps?
-0.0000162
Round 0.02699582976 to 2 dps.
0.03
Round 676.652334 to 0 decimal places.
677
Round 49.4452135 to 0 decimal places.
49
Round 1305.14872 to one decimal place.
1305.1
Round 0.00385557022 to seven dps.
0.0038556
What is -0.03408413497 rounded to 2 dps?
-0.03
What is 0.0000334660895 rounded to 5 decimal places?
0.00003
Round -0.00148094547 to 5 decimal places.
-0.00148
What is -13429.37982 rounded to the nearest 10?
-13430
What is 61201688.9 rounded to the nearest 100000?
61200000
What is -21529.112 rounded to the nearest ten?
-21530
What is -204435.3897 rounded to the nearest 100?
-204400
Round 0.0006005216 to four decimal places.
0.0006
What is 538797720 rounded to the nearest one million?
539000000
Round -34.51038 to the nearest ten.
-30
Round -0.08393730324 to 6 dps.
-0.083937
Round 677.5347021 to the nearest integer.
678
What is 0.002212525799 rounded to three decimal places?
0.002
Round 0.0000879239193 to five dps.
0.00009
What is 0.4678392922 rounded to 5 decimal places?
0.46784
Round 2491.338133 to the nearest one thousand.
2000
What is -0.000000524109307 rounded to seven dps?
-0.0000005
Round -10383.11176 to the nearest integer.
-10383
Round -0.04076656 to 1 dp.
0
What is -73.555338 rounded to zero dps?
-74
Round -0.02007992881 to 6 dps.
-0.02008
What is 8983.19918 rounded to the nearest ten thousand?
10000
Round -112.157977 to one decimal place.
-112.2
Round 331055.75 to the nearest one hundred.
331100
Round 4.27358602 to the nearest integer.
4
What is -1540.563298 rounded to the nearest one hundred?
-1500
What is -0.080733267 rounded to 5 decimal places?
-0.08073
What is -0.000017582071 rounded to seven decimal places?
-0.0000176
Round 61950.927 to the nearest one hundred thousand.
100000
Round 50165.3478 to the nearest 1000.
50000
Round 343.702863 to 1 decimal place.
343.7
Round 972.247069 to zero decimal places.
972
Round 2180.43346 to the nearest one hundred.
2200
What is -0.731930814 rounded to one dp?
-0.7
What is 1.399188567 rounded to three decimal places?
1.399
What is 0.000846003492 rounded to 6 decimal places?
0.000846
Round -6815.4303 to the nearest 10000.
-10000
Round -0.000005924497593 to 7 decimal places.
-0.0000059
What is -654.1981577 rounded to two decimal places?
-654.2
Round -504776700 to the nearest 100000.
-504800000
Round -1997943.9 to the nearest 1000.
-1998000
What is 9553.34419 rounded to the nearest integer?
9553
What is 0.81359673 rounded to two dps?
0.81
What is 0.54989614 rounded to 3 dps?
0.55
What is 166.322339 rounded to 0 decimal places?
166
Round -824304.525 to the nearest 1000000.
-1000000
What is 0.0000064195991 rounded to seven dps?
0.0000064
Round -3.46102239 to one decimal place.
-3.5
Round -379436.678 to the nearest 100000.
-400000
Round -0.0008648608995 to 5 decimal places.
-0.00086
Round 6.2701624 to three dps.
6.27
What is -0.240628623 rounded to four dps?
-0.2406
What is -0.0340538087 rounded to 6 dps?
-0.034054
Round 6.5623841 to three decimal places.
6.562
What is -0.012050092 rounded to five dps?
-0.01205
|
{
"pile_set_name": "DM Mathematics"
}
|
er.
-2179, -4, -1, 22, 48
Put -223, -20, 31, -3 in increasing order.
-223, -20, -3, 31
Sort -13, 3, 211, 4, 5, -4 in ascending order.
-13, -4, 3, 4, 5, 211
Sort -9, 0, -66, -157, -2.
-157, -66, -9, -2, 0
Put -1, 2, -5, 32, -28, -259 in increasing order.
-259, -28, -5, -1, 2, 32
Sort -27537, -5, -7, 0.3, -1, -3, 4 in decreasing order.
4, 0.3, -1, -3, -5, -7, -27537
Put -1, -5, -77, 1/63 in ascending order.
-77, -5, -1, 1/63
Sort -2232, 0.2, 0.5, 2.91 in ascending order.
-2232, 0.2, 0.5, 2.91
Sort 8, -16, -5, -106, -21, -3.
-106, -21, -16, -5, -3, 8
Put -714255, 0.037, -3 in ascending order.
-714255, -3, 0.037
Sort -25, 0, -4, 95, 4 in descending order.
95, 4, 0, -4, -25
Sort -5/8, -2/11, -12.0013 in descending order.
-2/11, -5/8, -12.0013
Sort 2/49, 4/7, -27, 0, 40 in decreasing order.
40, 4/7, 2/49, 0, -27
Put -30, 0, -160, 7, 3, 5, 2 in descending order.
7, 5, 3, 2, 0, -30, -160
Put 3, -1, 31, 11, 2, -4, 7 in increasing order.
-4, -1, 2, 3, 7, 11, 31
Sort 2, 14, -4, -5, 9744, 5 in decreasing order.
9744, 14, 5, 2, -4, -5
Sort -4, -9, 1, -31, -3, -66, -56 in ascending order.
-66, -56, -31, -9, -4, -3, 1
Put -67, -698, -272 in decreasing order.
-67, -272, -698
Put 2, -29384, 11 in descending order.
11, 2, -29384
Sort -8, 2, 87/67, -3, 3, -4.
-8, -4, -3, 87/67, 2, 3
Put -3, -47, 445, 2, -5 in decreasing order.
445, 2, -3, -5, -47
Sort 4, 730202, 3/5 in descending order.
730202, 4, 3/5
Put 0.5, -80, 5, 0, -4, 223 in descending order.
223, 5, 0.5, 0, -4, -80
Sort 28/11, 1/4, -43/2, -4 in descending order.
28/11, 1/4, -4, -43/2
Put 711, -1, 9/4, 1/5, 4, 3 in decreasing order.
711, 4, 3, 9/4, 1/5, -1
Put 0, 19009, -4, -5 in decreasing order.
19009, 0, -4, -5
Put 1/3, 121, 1486/5, -1 in descending order.
1486/5, 121, 1/3, -1
Sort 0, 6, -2, -149, -3 in ascending order.
-149, -3, -2, 0, 6
Put -0.04229, 0.5, 108/13, 2 in decreasing order.
108/13, 2, 0.5, -0.04229
Put -5/3, 476, -5, 2, 0.187 in descending order.
476, 2, 0.187, -5/3, -5
Sort 0.08, 1/3, 6, 1, -713.
-713, 0.08, 1/3, 1, 6
Put 8, -1, -2, 25, 5, 6, 0 in descending order.
25, 8, 6, 5, 0, -1, -2
Put 4, 289134, -6 in increasing order.
-6, 4, 289134
Put -3, 3, 10, -4, 1, -2, -155 in decreasing order.
10, 3, 1, -2, -3, -4, -155
Sort -4, -58, 5, 3, -2, 272 in increasing order.
-58, -4, -2, 3, 5, 272
Sort -7, 30, -4, 0, -137, 5 in ascending order.
-137, -7, -4, 0, 5, 30
Sort -10, 3, 0, -20547, 2 in descending order.
3, 2, 0, -10, -20547
Sort 143, 1, 620, 6 in decreasing order.
620, 143, 6, 1
Sort -5, -8, 745, 0, 2, 99.
-8, -5, 0, 2, 99, 745
Put 0.3, -1, 1379, -40/489 in increasing order.
-1, -40/489, 0.3, 1379
Sort -43, 2, 1, 7, -17049, -2.
-17049, -43, -2, 1, 2, 7
Sort 2, 134, 5, -4, 0, 10316, -11 in descending order.
10316, 134, 5, 2, 0, -4, -11
Sort -19860, 2, 88, 35.
-19860, 2, 35, 88
Sort 0, -18729973, -1.
-18729973, -1, 0
Sort 4, 1, -11, 28, -20.
-20, -11, 1, 4, 28
Put -13/81, 73/8, -0.1, -3, 0.3 in increasing order.
-3, -13/81, -0.1, 0.3, 73/8
Sort -1, 2, -785, 6, -1/5, 1, -4 in ascending order.
-785, -4, -1, -1/5, 1, 2, 6
Put 939, -804, 108 in ascending order.
-804, 108, 939
Put -3864, 534, -75, -2 in increasing order.
-3864, -75, -2, 534
Sort 2, 1, 51609, 451 in decreasing order.
51609, 451, 2, 1
Put -1/2, -22, 5.8437, 4, 19/2 in increasing order.
-22, -1/2, 4, 5.8437, 19/2
Put 5, 27741, 12, 14 in ascending order.
5, 12, 14, 27741
Sort 2, 5, 0, -1, 77, 248, -2.
-2, -1, 0, 2, 5, 77, 248
Put 0.2, 3657, -0.1, -3, -1, -2 in increasing order.
-3, -2, -1, -0.1, 0.2, 3657
Sort -71, 28637, -0.3.
-71, -0.3, 28637
Put 3, -3, -37, 5, -869, -12 in decreasing order.
5, 3, -3, -12, -37, -869
Sort 44911, -1, -12.
-12, -1, 44911
Put 5, 815, -83934, -6 in descending order.
815, 5, -6, -83934
Put -8875, 5, -2, 2, 11, 3 in descending order.
11, 5, 3, 2, -2, -8875
Sort -148, 522, 30.
-148, 30, 522
Put -3, -9, 1146, 55 in ascending order.
-9, -3, 55, 1146
Put -0.3, -3, 8, -34015, 0.2, 0.02 in descending order.
8, 0.2, 0.02, -0.3, -3, -34015
Put 0, -0.4, 1/92, 0.7, -1, -2/41 in descending order.
0.7, 1/92, 0, -2/41, -0.4, -1
Put 5445, -1, 1944 in decreasing order.
5445, 1944, -1
Sort 2, -3, 16, -59, 5, 0 in descending order.
16, 5, 2, 0, -3, -59
Sort 1246221, 0, 4, -3, -14 in descending order.
1246221, 4, 0, -3, -14
Sort 51, 91, -7, 13, 0, 3, -5 in ascending order.
-7, -5, 0, 3, 13, 51, 91
Sort 5, -73, -25, -23, -5.
-73, -25, -23, -5, 5
Put 1, -55, 21161 in descending order.
21161, 1, -55
Sort -1/2, -6228, 1.3 in decreasing order.
1.3, -1/2, -6228
Put 1/7, 5, -1/5, -6/86305 in increasing order.
-1/5, -6/86305, 1/7, 5
Put -1467, 4, -5417 in increasing order.
-5417, -1467, 4
Sort -15687, -1/5, 0, 0.2 in descending order.
0.2, 0, -1/5, -15687
Sort -10, -31, -5, 2, -13, 5, -7 in ascending order.
-31, -13, -10, -7, -5, 2, 5
Put -2.3, -3, -44, -9526 in decreasing order.
-2.3, -3, -44, -9526
Sort 950, 1243, 3/5 in ascending order.
3/5, 950, 1243
Put -1, 0, -5, -9, 89, -2 in descending order.
89, 0, -1, -2, -5, -9
Sort 21, 2, -4, 32, -2, -7496 in ascending order.
-7496, -4, -2, 2, 21, 32
Sort 6, 101, 7, 770 in descending order.
770, 101, 7, 6
Sort -384, 1, -2.2168 in increasing order.
-384, -2.2168, 1
Put 51, 0.4, -5, 4, -38.6, -6, -3 in descending order.
51, 4, 0.4, -3, -5, -6, -38.6
Sort 49093, 1, -3176 in ascending order.
-3176, 1, 49093
Sort 1, 2, 5, -116, -5, -872 in descending order.
5, 2, 1, -5, -116, -872
Sort -2, 1128.6, -3, 53, 5/2 in ascending order.
-3, -2, 5/2, 53, 1128.6
Sort -3, -336, 0, 5, 26, -6 in descending order.
26, 5, 0, -3, -6, -336
Put 23/3, 4, 3, -0.048701 in decreasing order.
23/3, 4, 3, -0.048701
Sort -10, 15, -3, 3, -1, -198 in decreasing order.
15, 3, -1, -3, -10, -198
Sort -3/23, -0.5, -1/4, 54, 62, 71 in increasing order.
-0.5, -1/4, -3/23, 54, 62, 71
Sort -483, -0.045, -149.2 in ascending order.
-483, -149.2, -0.045
Put -65, -36, 22, -3, 5 in ascending order.
-65, -36, -3, 5, 22
Put 5, -2866, 8, -29 in decreasing order.
8, 5, -29, -2866
Sort -322/31, 2/3, 51, -2, 12, 2 in ascending order.
-322/31, -2, 2/3, 2, 12, 51
Sort 5, -89, 2, -1691 in increasing order.
-1691, -89, 2, 5
Sort 111.48509, 6, 0.3 in descending order.
111.48509, 6, 0.3
Put 11, 3, -5/2212, -10 in descending order.
11, 3, -5/2212, -10
Sort 1004, -5, -8328 in decreasing order.
1004, -5, -8328
Put 23885, 1, 40 in descending order.
23885, 40, 1
Sort 5, 8, -2, 4, 2, -2405, 3 in decreasing order.
8, 5, 4, 3, 2, -2, -2405
Sort -6571, -5, 4, -8, -4, -2, 3 in descending order.
4, 3, -2, -4, -5, -8, -6571
Put 37, -5, -8, 0, -146, -14, -38 in decreasing order.
37, 0, -5, -8, -14, -38, -146
Sort 386223, -5, -29, -7 in decreasing order.
386223, -5, -7, -29
Sort -1, 1836, -21, -5.
-21, -5, -1, 1836
Sort -0.3, 9085/24, 4/9.
-0.3, 4/9, 9085/24
Sort 28/5, -1423/16, 1/83.
-1423/16, 1/83, 28/5
Put 7, 17, -4, -2, -3, 3207, 1 in descending order.
3207, 17, 7, 1, -2, -3, -4
Put -5/6, 0.25, -300, 3/5, 0 in descending order.
3/5, 0.25, 0, -5/6, -300
Sort -1, 505, -2, 556.
-2, -1, 505, 556
Sort 650459, 0.3, -3/5 in descending order.
650459, 0.3, -3/5
Put 11, -4416, 46, 3 in ascending order.
-4416, 3, 11, 46
Put -14, -5, -4, 5589, 6 in ascending order.
-14, -5, -4, 6, 5589
Sort -0.3, 0.3, -364, -93, -12 in decreasing order.
0.3, -0.3, -12, -93, -364
Sort -120.4087, -1/2, -2, -6 in decreasing order.
-1/2, -2, -6, -120.4087
Sort 0, -1847, -2/21, 1/3, -0.8.
-1847, -0.8, -2/21, 0, 1/3
Sort -87843, -6598, -4 in descending order.
-4, -6598, -87843
Sort -79, 4, 3, 125, -5, 0.17 in decreasing order.
125, 4, 3, 0.17, -5, -79
Put 5, 1, -5, -2, -866, 4, 3 in ascending order.
-866, -5, -2, 1, 3, 4, 5
Sort -5, -74198, 9 in ascending order.
-74198, -5, 9
Sort 0.55, 12, -5179/5 in decreasing order.
12, 0.55, -5179/5
Sort 3, 20, -967, -15.
-967, -15, 3, 20
Put 5, 2, 65, 3, 2993 in decreasing order.
2993, 65, 5, 3, 2
Put -22, -1, -4411, 33 in descending order.
33, -1, -22, -4411
Sort 0.08, -34, 5.7, 0.3, -0.2 in decreasing order.
5.7, 0.3, 0.08, -0.2, -34
Sort -4/7, 493, -67726.
-67726, -4/7, 493
Sort 5401, 3, 99, -2 in descending order.
5401, 99, 3, -2
Sort 3, 61, 71, -1, -31 in increasing order.
-31, -1, 3, 61, 71
Put 2/9, 1/2, 2, -4, -1, 1/6, -2/5 in increasing order.
-4, -1, -2/5, 1/6, 2/9, 1/2, 2
Put 2, 35, 225, -743, 1 in decreasing order.
225, 35, 2, 1,
|
{
"pile_set_name": "DM Mathematics"
}
|
.
-0.03
Suppose 5*v - 14302343 = b - 65802345, -5*b = v + 10299990. Round v to the nearest one million.
-10000000
Suppose -3*i = -4*z - 7, 3*i - 26 = -i + 2*z. Suppose 0 = 4*h - i*h + 21500000. What is h rounded to the nearest 1000000?
4000000
Let g = 14 - 13.999988. Round g to 5 dps.
0.00001
Let q = 13490 + -14437.9. Let u = q + 938.706. Let a = -9.1 - u. Round a to 2 dps.
0.09
Suppose 0 = -3*w - w + 16. Suppose 2908 = w*p - 70756. Let f = p - 13016. What is f rounded to the nearest one thousand?
5000
Let m = 0.24 + 0.06. Let u = m + -0.3000026. What is u rounded to six dps?
-0.000003
Suppose w = -4*l - 48, l = w - 3*w - 75. Let v be ((-84)/(-5))/(w/(-120)). Round v to the nearest 10.
60
Let c(v) = 5*v**2 - 2*v + 2. Let m be c(1). Suppose 5*t - 3*r = -r - 2392, m*t - r + 2396 = 0. Round t to the nearest 100.
-500
Let z = 0 + -6. Let i = -9 - z. Let r = i + 2.977. Round r to 2 decimal places.
-0.02
Let o = -5.1 + 0.1. Let c = -55 - -49.6. Let f = c - o. What is f rounded to 0 decimal places?
0
Suppose v + 1 = 12. What is v rounded to the nearest integer?
11
Let m = -0.113 - -0.11456. Round m to three dps.
0.002
Let m = -32.00000215 + 32. Round m to seven dps.
-0.0000022
Suppose 5*k = 2*k + 1125. Let x be -2 + k/(-3)*-8. Let u be 6000*(6/(-3) - x). Round u to the nearest one million.
-6000000
Let n(c) = c**3 + 2*c**2 - 4*c + 1. Let t be n(-5). Let d be (20*t)/(2/(-150)). Round d to the nearest 10000.
80000
Let o = -20.30257 - -20.3. What is o rounded to four dps?
-0.0026
Let y be ((-1 + 0)*0)/1. Suppose y*i = 4*i. Round i to the nearest ten thousand.
0
Suppose 0 = 4*z + 3*o + 234015, 3*z + 131071 = -3*o - 44444. Round z to the nearest 10000.
-60000
Let k = 97.00054 - 97. Round k to four dps.
0.0005
Let j = -1024 + -976. What is j rounded to the nearest one thousand?
-2000
Suppose 2*o - 5*w + 117995 = 0, 2*o + 3*o = -w - 295001. Round o to the nearest 10000.
-60000
Let m = 62086294.999846 + -62086144. Let h = 151 - m. Round h to 5 decimal places.
0.00015
Let m = -206 + -55. What is m rounded to the nearest 10?
-260
Let u = -0.08 - -0.028. Round u to 2 decimal places.
-0.05
Let r be (1 + 11565/(-6))*-82. Suppose 18736 = l - r. Let t = l - 3176709. What is t rounded to the nearest 1000000?
-3000000
Suppose -24134 = -5*o + 2*n, 2*n - 9 = -n. Suppose r + 7672 + o = 0. Let v be (918 + 2)*r/(-1). Round v to the nearest 1000000.
12000000
Let q = -126 - -124.4. Round q to 1 dp.
-1.6
Let d = 112.3 - 114. Round d to the nearest integer.
-2
Let u = -57.6 + 79. Let f = 0 - -18. Let g = u - f. Round g to 0 dps.
3
Let p = -340860 + 140860. Round p to the nearest 10000.
-200000
Let b be 0*(14/4 - (0 - -3)). Round b to the nearest 1000.
0
Let v = 109.79 + -103.8. Let i = -0.25 - -6.25. Let h = v - i. What is h rounded to two dps?
-0.01
Let o = 0.06 - 0.06. Let k = o - -2.6. Let t = k + -2.59999962. What is t rounded to seven decimal places?
0.0000004
Let o = 0.2 + -0.5. Let a = 0.2924954 - -0.007511. Let j = o + a. What is j rounded to 6 dps?
0.000006
Suppose -8 = -2*c - 0. Suppose 9*r - c*r + 150000 = 0. What is r rounded to the nearest ten thousand?
-30000
Let y = -59.0126 - -59. Round y to 3 decimal places.
-0.013
Let c = -3211 + 3196.928. Let z = c - -14. Let i = z + 0.051. What is i rounded to 2 decimal places?
-0.02
Let k be (-8)/(-14)*14/4. Suppose -255010 = k*s - 7*s. Suppose -4*p - 5*b + 40790 = 0, b = -5*p + 2*b + s. What is p rounded to the nearest 1000?
10000
Let c = 350.09 - 6.09. Let f = 343.9999843 - c. What is f rounded to six decimal places?
-0.000016
Let q(p) = 122501*p**3 - 2*p**2 + p - 2. Let d be q(2). What is d rounded to the nearest one hundred thousand?
1000000
Let w(v) = 6*v**3 + 8*v - 137. Let q(f) = 5*f**3 + 7*f - 137. Let z(l) = 7*q(l) - 6*w(l). Let x be z(0). Round x to the nearest 10.
-140
Let g = -4.8 + -4.7. Let p = 11 + g. Round p to 0 dps.
2
Let x = 22377 + -22374.9934. Let p = 7 - 5. Let k = x - p. Round k to three dps.
0.007
Let j = 0.01 + 0. Let a = 1.79 + -2.2. Let r = a + j. Round r to one dp.
-0.4
Suppose 20 = 5*d - 4*p - 0*p, -2*d + 8 = -4*p. Suppose 2*a + 201 - 9 = 0. Let q be a*d/18*-3. What is q rounded to the nearest ten?
60
Let r(k) = 2*k**2 + 3*k**2 + 0*k**2 - 4*k**2 - 11400000. Let a be r(0). Round a to the nearest 1000000.
-11000000
Let v = 539.0217928 + -524.0218. Let d = 0.2 - 15.2. Let t = v + d. Round t to 6 decimal places.
-0.000007
Suppose -4*q - o = -12, -2*q - 5*o = 2*q - 12. Let d(t) = -6*t - 1. Let m be d(-1). Suppose m*x - 1000000 = q*x. Round x to the nearest one million.
1000000
Let t = -1.16 + 2.18. Let d = t - 0.23. Round d to one dp.
0.8
Let b = 41.9999988 + -42. What is b rounded to 7 dps?
-0.0000012
Let v = 23193446 - 34400472. Let f = v + 11206993.000085. Let b = f + 33. Round b to five dps.
0.00009
Let x = 187 + -185.37. Round x to one decimal place.
1.6
Let n = -6 + 3. Let c = -7.05686 + 10.0573. Let g = n + c. Round g to four decimal places.
0.0004
Let u = 2 - 2.001. Let j = 0.06 + u. Round j to 2 dps.
0.06
Let l be -60000*(-1)/(-6)*-118. Suppose 3*i - i = -l. What is i rounded to the nearest one hundred thousand?
-600000
Let y = -217 - -216.909. Round y to one decimal place.
-0.1
Suppose -4*r = -0*r + 164. Let x be 16*260*(-9 + r). What is x rounded to the nearest ten thousand?
-210000
Let q = -3.04 - -0.24. Round q to the nearest integer.
-3
Let l = -19 - -10. Let m = l + 2. Let k = 6.988 + m. What is k rounded to 2 decimal places?
-0.01
Let s = 65285 + -65291.00005. Let f = s + 6. Round f to five dps.
-0.00005
Let y(d) be the first derivative of -100313*d**2 - 16*d + 9. Let n be y(-16). Round n to the nearest 100000.
3200000
Let t = -2808.1 + 2808.48038. Let w = t + -0.38. Round w to 4 decimal places.
0.0004
Let r = -11.82 - -12. Let n = -0.2 + 0.3. Let d = n - r. What is d rounded to two decimal places?
-0.08
Let y = -57252.099 - -56866.3. Let k = -386 - y. What is k rounded to two decimal places?
-0.2
Suppose 0 = -t - 4*t + 5*p, 2*t = -4*p - 24. What is t rounded to the nearest ten?
0
Let i = -5 - -6. Let d be i + (-1739998)/(-2) - 0. What is d rounded to the nearest one hundred thousand?
900000
Let v = -0.3583 + 0.36. What is v rounded to three decimal places?
0.002
Let p = -150 + 2052. Let k = p - 1234. Suppose -2*m = 4*l - 76 + k, 0 = 2*m - 4*l + 568. What is m rounded to the nearest one hundred?
-300
Let z = 117 + -116.999999978. Round z to 7 decimal places.
0
Let z = -0.150425 - 327.606575. Let f = 0.757 + z. Let a = 327.0133 + f. Round a to 3 dps.
0.013
Let p = -55150 + 682150. Round p to the nearest ten thousand.
630000
Let f = 17.8 + -17.79999975. What is f rounded to 7 decimal places?
0.0000003
Suppose -5*j + 1566999 = h - 32219, -3*j = -5*h + 7996034. Suppose 4*n + 5*u = 9600005, -2*u - 6399206 = -2*n - h. What is n rounded to the nearest one million?
2000000
Let a = 463406 - -55794. Suppose 0*m = -3*m + 3*u - 311502, -5*m - u - a = 0. Let p = m + -26161. What is p rounded to the nearest one hundred thousand?
-100000
Let y = -15332 - -15504.224. Let p = y - 0.224. Let w = -179.3 + p. What is w rounded to the nearest integer?
-7
Let w(l) = l**2 - 5*l - 2. Let u be w(4). Let z be (260*2)/(u/9). What is z rounded to the nearest one hundred?
-800
Let k = -2.675 - 8.357. Let o = k - -11. What is o rounded to two dps?
-0.03
Let x = -35873712546 + 35873746583.959917. Let h = x + -34038. Let f = h - -0.04. Round f to five decimal places.
-0.00008
Suppose -3*b = y + 110704, 0*b - 4*y = -3*b - 110684. What is b rounded to the nearest ten thousand?
-40000
Suppose -2*y + 103791 + 62199 = 0. Suppose -5*n = 5*g + y, n + 2*g - 6*g = -16619. Let b be n/2 + (-3)/(-2). Round b to the nearest one thousand.
-8000
Let u = -0.11365 - -0.119. What is u rounded to three decimal places?
0.005
Let r = -0.9 + -7.1. Let v = 7.94 + r. Let m = v + 0.144. What is m rounded to 2 decimal places?
0.08
Let m = -9.93 - -10. Let l = 0.0686 - m. What is l rounded to 3 decimal places?
-0.001
Let t = -2 + 5. Suppose -t*s - 5*l + 8 = -23, 0 = s - 3*l + 13. Suppose -770 = s*m + 13030. What is m rounded to the nearest 1000?
-7000
Let x = 667538.7214 + -667598.72139949. Let n = -60 - x. What is n rounded to seven decimal places?
-0.0000005
Let y = -3.9 + 4. Let b = y - 0.10152. What is b rounded to 4 decimal places
|
{
"pile_set_name": "DM Mathematics"
}
|
prime factors of m.
2, 5, 31
Let i = 35 + -33. Let d(v) = 2*v**i - 1 + 4 + 29*v - 22*v. List the prime factors of d(-6).
3, 11
Let c = 25911 + -17688. What are the prime factors of c?
3, 2741
Suppose 11050 = p - m, -5*m - 25 + 5 = 0. List the prime factors of p.
2, 3, 7, 263
Let m = 270 + -266. Suppose i + 3*h - 564 = 0, -i + 370 = -m*h - 159. What are the prime factors of i?
3, 61
Let n(l) = -l**3 - 24*l**2 - 27*l - 55. Let a be n(-23). Suppose 672 = a*s - 29*s. What are the prime factors of s?
2, 3, 7
Let j(n) = 4*n**2 - 70*n - 740. What are the prime factors of j(66)?
2, 13, 29
Let g(i) = 26*i**2 + 108*i - 697. What are the prime factors of g(-42)?
41, 991
Let m(a) = 845*a - 23. Let x be m(1). Suppose -4*w + x = 2*h, -h - w = -0*w - 410. What are the prime factors of h?
409
Let k(b) = -909*b - 192. List the prime factors of k(-9).
3, 2663
List the prime factors of ((-930)/341)/15 + -149066*6/(-44).
20327
Suppose -7*s - 1388 + 5679 = 0. Let i = s - 398. What are the prime factors of i?
5, 43
Let x(h) = -15*h**2 + 6*h - 17. Let g be x(2). Let r = g + 136. What are the prime factors of r?
71
List the prime factors of (13825 + -20 + 23)*1/2.
2, 3457
Suppose -29 = 3*u + 13. Let y(d) = -10*d - 56. Let p be y(u). Let x = p + 40. What are the prime factors of x?
2, 31
Suppose 4*q + 12 = 0, 5*u - 4*u - q - 185 = 0. Suppose f - 5*c = -f + u, 2*c + 497 = 5*f. List the prime factors of f.
101
Let m = 52 - 45. Suppose 6*q = m*q, -4*q + 295 = o. What are the prime factors of o?
5, 59
Let j(g) = 101*g + 8. Let t be j(-2). Let i = -129 - t. What are the prime factors of i?
5, 13
Let c(q) = 399*q - 3241. What are the prime factors of c(75)?
2, 7, 953
Let q(v) = -10 - v**3 - 20*v**2 + 2*v**2 + 9*v**2 - 3*v. Let w be q(-9). Suppose -2*z + 69 = -2*s - w, -111 = -2*z - 3*s. List the prime factors of z.
2, 3
Let w = 196 + -109. Suppose 816 = 91*r - w*r. List the prime factors of r.
2, 3, 17
Suppose 0 = 2*b - 3*b + 2*g + 24299, -5*g + 97274 = 4*b. What are the prime factors of b?
7, 23, 151
Suppose 165*i = 896899 + 48828 + 1646588. What are the prime factors of i?
3, 5237
Let q(d) be the first derivative of -107*d**2/2 + 4*d + 1. Let h be q(-1). Let g = h + -55. List the prime factors of g.
2, 7
Suppose -11*x = -7*x - 8. Let j(n) = 1 - 5*n - 2*n + 2*n + n + 34*n**2. List the prime factors of j(x).
3, 43
What are the prime factors of (28308/16)/((-70)/(-840))?
3, 7, 337
Let w(r) = -1715*r**3 - 9*r**2 + 4*r + 27. What are the prime factors of w(-2)?
71, 193
Let s = -42 - -57. Suppose 10*b + 10 = s*b. Suppose p - 65 = 5*n, b*n + 2 = -2. List the prime factors of p.
5, 11
Let a(t) = -2*t**3 - 2*t**2 + 4*t - 4. Let w be a(-3). Suppose 3356 - 18336 = -w*k. List the prime factors of k.
7, 107
Let f = 1285 - -1736. Suppose -10*j + f + 4489 = 0. List the prime factors of j.
751
Suppose 0*o + 0*o - 18*o = -167094. What are the prime factors of o?
9283
List the prime factors of (-395285)/(-165) + (-1)/(-3).
2, 599
Suppose 2*h + 17783 - 3693 = 12*h. What are the prime factors of h?
1409
Let h(g) = g**3 + 4*g**2 - 4*g + 15. Let a be h(-5). Suppose -a*f + 1188 = -6*f. What are the prime factors of f?
3, 11
Let c(h) = -7 - 4*h**3 - 5*h**2 + 14*h**3 - 5*h**3 + 0*h**3 - 7*h**3 + 3*h. Let p = -12 + 7. What are the prime factors of c(p)?
103
Let h = 246 - 110. Let o = h + 594. What are the prime factors of o?
2, 5, 73
Suppose 5*v - 238239 = -4*g, 47*v = 44*v - 27. List the prime factors of g.
3, 6619
Let m = -22 + 24. Suppose 0 = m*n - 4*n + 3*j + 769, 3*n = -j + 1126. What are the prime factors of n?
13, 29
Let z(s) = 7*s**2 + 3*s - 10. Let t be z(-17). Suppose -493 = -w + 2*c, -4*w = 3*c + 45 - t. Suppose -w - 261 = -8*m. What are the prime factors of m?
3, 31
Let k(z) be the first derivative of -z**3/3 - 8*z**2 + z + 456. Suppose -4*p + 8 = 44. What are the prime factors of k(p)?
2
Suppose 10*w - 12*w - 2 = 0. Let c(m) = -428*m + 1. What are the prime factors of c(w)?
3, 11, 13
Suppose -86*o - 715114 = -1464718 - 1405900. List the prime factors of o.
2, 13, 241
Suppose -2*u + 4 = 0, 0 = -24*c + 27*c - u - 98866. What are the prime factors of c?
2, 7, 11, 107
Let r be (-2030)/(-525) + (2 - 28/15). Suppose 4*b = r*m + 2320, -9*b + 4*m - 2288 = -13*b. What are the prime factors of b?
2, 3
Let h = -1745 + 3205. List the prime factors of (h/(-8))/(-5)*2.
73
Suppose 2219 + 3651 = 5*s. Suppose s = 3*i + 5*g, 1930 = 5*i - 2*g - 3*g. List the prime factors of i.
2, 97
Let r = -5926 - -13303. List the prime factors of r.
3, 2459
Let f = 455 + -245. Let h = f - -17. Suppose -4*v + 5*k = -0*k - h, -25 = -5*k. What are the prime factors of v?
3, 7
Suppose 2*k = 5*a + 9586, 3*k + 2*k + 5*a - 24000 = 0. What are the prime factors of k?
2, 2399
What are the prime factors of (-233673)/(-22)*(110/15 + -2)?
2, 73, 97
Suppose 5*w + 2 - 2 = 0. Let u(t) = t**3 - t**2 + 2*t + 7. Let k be u(w). List the prime factors of (k/((-7)/286))/(10/(-5)).
11, 13
Let n(z) be the first derivative of 2*z**3 + z**2/2 + 4*z + 1. Let j = -6129 - -6124. List the prime factors of n(j).
149
Let y(k) = -42*k. Let f(p) = -42*p + 1. Let b(g) = 5*f(g) - 4*y(g). Let a be b(-1). Let x = 68 + a. What are the prime factors of x?
5, 23
Suppose -16*a + 20*a - 3*o - 45072 = 0, -3*a + o = -33809. List the prime factors of a.
3, 13, 17
Let f(g) = 83*g**2 - g - 46. List the prime factors of f(8).
2, 11, 239
Suppose 5*g - 3676 = -3*o, 3*g = -36*o + 40*o - 4853. List the prime factors of o.
1217
Let p(r) = 2*r + 29. Let w(d) = d + 15. Let y(u) = 6*p(u) - 11*w(u). Let c be y(-4). Suppose c*z - 1177 = -102. List the prime factors of z.
5, 43
Suppose -q = -2*d + 13255 + 19564, -5*q - 82045 = -5*d. List the prime factors of d.
2, 3, 5, 547
Let q = 663 + 631. Let f = -242 + q. What are the prime factors of f?
2, 263
Suppose 15*i - 475727 - 408628 = -241020. What are the prime factors of i?
7, 11, 557
Let f(z) = z**3 + 3*z**2 + 3*z + 6. Let q be 3/(-2) + (15/(-10) - -1). Let d be f(q). Suppose p = d*p - 366. List the prime factors of p.
2, 61
Let h(k) = 5*k + 25. Suppose 61*z - 60*z = 40. Suppose -2*t + 2*q = -3*q - z, 4*q = 0. List the prime factors of h(t).
5
Suppose 2*s + 3*d - 13 = 0, 90*d - 88*d = 2*s + 2. Let p = -1 + 1. Suppose -f + 83 = -p*f + 4*j, 3*f - s*j = 291. What are the prime factors of f?
5, 19
Suppose 5*y - 5 = 40. Let t = -56 - -57. What are the prime factors of t*(236 - y/3)?
233
Let a be (-12)/18 - (-2488)/6. Let n = -75 + 80. Suppose 201 + a = n*g. List the prime factors of g.
3, 41
Suppose 6*y - 9*y + 179853 = 3*x, 4*y + 2*x - 239790 = 0. List the prime factors of y.
2, 59, 127
Let r be 8 + -2 - (18 - 12). Suppose r = 13*m - 460 + 5. What are the prime factors of m?
5, 7
Let x(y) = -1653*y - 209. Let i be x(-17). Suppose -28*q = -9*q - i. List the prime factors of q.
2, 367
Suppose -412 + 9202 = 6*b. Suppose b + 447 = 4*w. List the prime factors of w.
2, 239
Suppose 2*p = 3*g + 321 + 891, g = -4*p + 2410. Suppose 3*h = -5*x - 235 - p, -h - x = 278. What are the prime factors of ((-12)/(-36))/((-1)/h)?
2, 23
Let h be (-25)/(-4 - -9) - -29. Suppose 52*d - 13664 = h*d. List the prime factors of d.
2, 61
Suppose 0 = -3*y + c + 17, -5*y - 4*c + 17 = 0. Suppose 5*b = 20, y*b = q - 3*q + 778. List the prime factors of q.
379
Let p(t) be the first derivative of 66*t**2 + 13*t - 5. What are the prime factors of p(4)?
541
Let d = 86915 + -52212. List the prime factors of d.
34703
Suppose -2*j + 27*a + 14047 = 30*a, 0 = -5*a + 5. What are the prime factors of j?
2, 3511
Let f = -3945 + 10889. What are the prime factors of f?
2, 7, 31
Let j(z) = -z**3 - 12*z**2 - 23*z + 11. Let r be 34 + 5 - (2 - 4). Suppose -10*u - 59 = r. What are the prime factors of j(u)?
41
Suppose 6*t + 50 = 44. Let j = t - -195. What are the prime factors of j?
2, 97
Let r(f) be the third derivative of f**5/60 - f**4/3 + 17*f**3/6 - 15*f**2. Let v be r(7). Suppose 74 = 3*l - v. What are the prime factors of l?
2, 7
Suppose -2 = 8*h - 34. Suppose 8*z = -2*w + 3*z + 2176, 5*w + h*z - 5474 = 0. What are the prime factors of w?
2, 3, 61
Let l = 11 + -7. Suppose 2*b + l = 4. Suppose -6*v + 3*v + 204 = b. What are the prime factors of v?
2, 17
Suppose -4*a = -2*v + 53298, -2*v = -7*v - 5*a + 133170. What are the prime factors of v?
17, 1567
Suppose 105 + 97 =
|
{
"pile_set_name": "DM Mathematics"
}
|
the o'th term of 25939, 48955, 71975, 94999, 118027, 141059?
2*o**2 + 23010*o + 2927
What is the b'th term of -5271609, -5271598, -5271587?
11*b - 5271620
What is the f'th term of 8445, 557, -7331?
-7888*f + 16333
What is the r'th term of 55676, 111480, 167284, 223088, 278892, 334696?
55804*r - 128
What is the a'th term of 45222, 180748, 406598, 722766, 1129246?
-a**3 + 45168*a**2 + 29*a + 26
What is the a'th term of 1271696, 1271700, 1271704, 1271708, 1271712?
4*a + 1271692
What is the m'th term of 232726, 232729, 232726, 232717?
-3*m**2 + 12*m + 232717
What is the c'th term of -33079631, -66159260, -99238889, -132318518?
-33079629*c - 2
What is the q'th term of -45889, -67209, -88531, -109855, -131181, -152509, -173839?
-q**2 - 21317*q - 24571
What is the x'th term of -609908, -1219822, -1829732, -2439632, -3049516, -3659378?
x**3 - 4*x**2 - 609909*x + 4
What is the f'th term of 141374, 281770, 422178, 562604, 703054?
f**3 + 140389*f + 984
What is the f'th term of 540829, 1081654, 1622479?
540825*f + 4
What is the t'th term of -102583, -102607, -102647, -102703, -102775, -102863, -102967?
-8*t**2 - 102575
What is the c'th term of 173893222, 173893220, 173893218, 173893216, 173893214, 173893212?
-2*c + 173893224
What is the n'th term of 8943, 18497, 28043, 37581, 47111, 56633, 66147?
-4*n**2 + 9566*n - 619
What is the o'th term of 67509, 539916, 1822157, 4319148, 8435805, 14577044, 23147781?
67486*o**3 + o**2 + 2*o + 20
What is the y'th term of -51903738, -51903737, -51903736, -51903735, -51903734, -51903733?
y - 51903739
What is the p'th term of 40508, 80981, 121460, 161945, 202436, 242933?
3*p**2 + 40464*p + 41
What is the m'th term of 4670839, 4670845, 4670855, 4670869, 4670887?
2*m**2 + 4670837
What is the p'th term of -1559278, -1559261, -1559240, -1559215, -1559186, -1559153?
2*p**2 + 11*p - 1559291
What is the k'th term of -640, -2032, -4202, -7150, -10876, -15380?
-389*k**2 - 225*k - 26
What is the o'th term of -973068, -1946135, -2919200, -3892263, -4865324, -5838383?
o**2 - 973070*o + 1
What is the k'th term of -53043864, -106087732, -159131614, -212175516, -265219444, -318263404, -371307402?
-k**3 - k**2 - 53043858*k - 4
What is the g'th term of 3608, 4003, 4390, 4763, 5116, 5443?
-g**3 + 2*g**2 + 396*g + 3211
What is the z'th term of -1037, -3264, -5457, -7616, -9741, -11832, -13889?
17*z**2 - 2278*z + 1224
What is the a'th term of 4599, 37860, 128131, 303918, 593727, 1026064?
4751*a**3 - a**2 + 7*a - 158
What is the z'th term of 221091, 884332, 1989735, 3537300, 5527027, 7958916?
221081*z**2 - 2*z + 12
What is the s'th term of -19103, -22550, -25997?
-3447*s - 15656
What is the j'th term of -362, -1166, -1992, -2840, -3710?
-11*j**2 - 771*j + 420
What is the z'th term of 19982, 80038, 180134, 320270, 500446, 720662, 980918?
20020*z**2 - 4*z - 34
What is the t'th term of -74589, -77604, -80619, -83634, -86649?
-3015*t - 71574
What is the n'th term of -10934528, -21869055, -32803582, -43738109, -54672636?
-10934527*n - 1
What is the y'th term of -91769, -91812, -91855, -91898, -91941?
-43*y - 91726
What is the k'th term of -1021, -5230, -12625, -23206, -36973, -53926, -74065?
-1593*k**2 + 570*k + 2
What is the b'th term of 2257, 3447, 4607, 5731, 6813?
-b**3 - 9*b**2 + 1224*b + 1043
What is the d'th term of 223573, 446064, 668555, 891046?
222491*d + 1082
What is the x'th term of 483868, 483633, 483398?
-235*x + 484103
What is the o'th term of 14141512, 14141509, 14141506, 14141503, 14141500?
-3*o + 14141515
What is the u'th term of -4207, -14035, -30373, -53185, -82435, -118087, -160105, -208453?
6*u**3 - 3291*u**2 + 3*u - 925
What is the l'th term of -75561, -76217, -76879, -77547, -78221?
-3*l**2 - 647*l - 74911
What is the a'th term of -1620881, -1620854, -1620813, -1620752, -1620665?
a**3 + a**2 + 17*a - 1620900
What is the g'th term of 32, -1411, -3788, -7075, -11248, -16283?
4*g**3 - 491*g**2 + 2*g + 517
What is the h'th term of 608674, 608715, 608784, 608881, 609006, 609159?
14*h**2 - h + 608661
What is the o'th term of 14962, 15270, 15784, 16504, 17430?
103*o**2 - o + 14860
What is the u'th term of -412, -6298, -23332, -57088, -113140, -197062, -314428, -470812?
-929*u**3 + 617*u - 100
What is the l'th term of 15821840, 15821839, 15821838?
-l + 15821841
What is the g'th term of 5244, 5968, 6666, 7332, 7960?
-g**3 - 7*g**2 + 752*g + 4500
What is the i'th term of -4725723, -9451449, -14177175?
-4725726*i + 3
What is the h'th term of 288199, 288158, 288083, 287974, 287831, 287654?
-17*h**2 + 10*h + 288206
What is the h'th term of -2476, -6557, -10650, -14761, -18896?
-h**3 - 4074*h + 1599
What is the k'th term of -784, -1270, -1776, -2308, -2872, -3474, -4120?
-k**3 - 4*k**2 - 467*k - 312
What is the b'th term of 41210, 82561, 123976, 165461, 207022, 248665?
b**3 + 26*b**2 + 41266*b - 83
What is the d'th term of -123, -1588, -5569, -13326, -26119, -45208, -71853, -107314?
-210*d**3 + 2*d**2 - d + 86
What is the d'th term of -1622, -9547, -28356, -62627, -116938?
-763*d**3 - 864*d**2 + 8*d - 3
What is the c'th term of 58051077, 58051083, 58051093, 58051107, 58051125, 58051147?
2*c**2 + 58051075
What is the n'th term of -8970, -17876, -26802, -35754, -44738, -53760?
-n**3 - 4*n**2 - 8887*n - 78
What is the i'th term of 172931, 344943, 516969, 689015, 861087, 1033191, 1205333, 1377519?
i**3 + i**2 + 172002*i + 927
What is the k'th term of 2197, 4136, 6081, 8032, 9989?
3*k**2 + 1930*k + 264
What is the s'th term of 8563, 9492, 12015, 16930, 25035, 37128?
133*s**3 - s**2 + s + 8430
What is the i'th term of -7552, -15683, -23814, -31945, -40076, -48207?
-8131*i + 579
What is the r'th term of -151414, -151503, -151592, -151681, -151770?
-89*r - 151325
What is the c'th term of 58682775, 117365554, 176048333, 234731112, 293413891?
58682779*c - 4
What is the a'th term of -1219, -2488, -3799, -5152, -6547, -7984, -9463?
-21*a**2 - 1206*a + 8
What is the c'th term of 51667, 51643, 51599, 51535, 51451, 51347?
-10*c**2 + 6*c + 51671
What is the t'th term of -4674012, -9348043, -14022080, -18696123, -23370172?
-3*t**2 - 4674022*t + 13
What is the j'th term of 21307, 42858, 64409, 85960, 107511?
21551*j - 244
What is the p'th term of 1900976, 1900952, 1900928, 1900904, 1900880, 1900856?
-24*p + 1901000
What is the j'th term of 2251, 5400, 9451, 14404, 20259?
451*j**2 + 1796*j + 4
What is the l'th term of -4967, -10074, -15187, -20306, -25431, -30562, -35699?
-3*l**2 - 5098*l + 134
What is the z'th term of -236, -915, -2390, -5021, -9168, -15191, -23450, -34305?
-60*z**3 - 38*z**2 - 145*z + 7
What is the c'th term of -2476, -2427, -2334, -2197, -2016?
22*c**2 - 17*c - 2481
What is the r'th term of 12699, 12465, 12123, 11673, 11115, 10449?
-54*r**2 - 72*r + 12825
What is the g'th term of -3553, -3636, -3759, -3922, -4125, -4368, -4651?
-20*g**2 - 23*g - 3510
What is the l'th term of 6401, 12887, 19367, 25841, 32309?
-3*l**2 + 6495*l - 91
What is the u'th term of -2456396, -4912786, -7369164, -9825530?
6*u**2 - 2456408*u + 6
What is the t'th term of -24411512, -48823022, -73234534, -97646048?
-t**2 - 24411507*t - 4
What is the s'th term of 125903, 126344, 126785, 127226, 127667, 128108?
441*s + 125462
What is the r'th term of 3459208, 3459386, 3459554, 3459706, 3459836?
-r**3 + r**2 + 182*r + 3459026
What is the y'th term of -33, 143, 463, 927, 1535, 2287?
72*y**2 - 40*y - 65
What is the a'th term of -101440, -101434, -101428, -101422, -101416, -101410?
6*a - 101446
What is the l'th term of -7278500, -14557010, -21835520, -29114030?
-7278510*l + 10
What is the b'th term of 139164, 278339, 417510, 556677?
-2*b**2 + 139181*b - 15
What is the d'th term of 625, 3943, 9535, 17401, 27541, 39955, 54643?
1137*d**2 - 93*d - 419
What is the g'th term of 82990, 83105, 83314, 83617, 84014?
47*g**2 - 26*g + 82969
What is the q'th term of 444618, 444238, 443858, 443478, 443098?
-380*q + 444998
What is the f'th term of 44201, 44866, 45517, 46154?
-7*f**2 + 686*f + 43522
What is the a'th term of 539, 1978, 4345, 7634, 11839, 16954, 22973, 29890?
-a**3 + 470*a**2 + 36*a + 34
What is the d'th term of -224, -274, -324, -374, -424?
-50*d - 174
What is the p'th term of -3573, -6369, -9169, -11973, -14781, -17593, -20409?
-2*p**2 - 2790*p - 781
What is the w'th
|
{
"pile_set_name": "DM Mathematics"
}
|
d derivative of -49*k - 750*k**5 - 20*k + 0*k**2 + 26*k + 4*k**2 - 69*k wrt k?
-45000*k**2
Let o(f) be the second derivative of 0*f**2 - 1/6*f**3 + 0 + 4*f. Let n(j) = -19*j + 12. Let i(p) = n(p) + 3*o(p). Differentiate i(h) wrt h.
-22
What is the second derivative of 2 + 8*o**5 + 1 + 1 - 6*o**5 + 467*o**2 - 1 + 2*o**4 - 117*o wrt o?
40*o**3 + 24*o**2 + 934
Find the first derivative of 112*t**3 - 358 - 279*t**3 + 237*t**3 + 150*t**3 wrt t.
660*t**2
What is the second derivative of -3115*c**4 + 2918*c**4 - 1179*c**4 + 172 - 7*c wrt c?
-16512*c**2
Let r(l) = 2*l**3 + 5*l**2 - 6*l + 3. Let v be r(2). Let i = v + -25. Find the second derivative of -g - 9*g**2 + 7*g**3 + 6*g + 9*g**i wrt g.
42*g
Suppose 21*g = 23*g - 8. What is the third derivative of 90*u**4 - 3*u**2 - 2 + 2 - 36*u**g wrt u?
1296*u
Let y be 34*(-21)/(-15) + (-8)/(-20). Let m = -46 + y. What is the second derivative of t**2 - 10*t - t + m*t**2 + t**2 wrt t?
8
Let g(t) be the first derivative of 550*t**3/3 + 261*t**2/2 + 4*t - 442. What is the second derivative of g(p) wrt p?
1100
Let n(c) be the second derivative of 3884*c**6/15 - 2573*c**2/2 + 20*c - 22. What is the first derivative of n(t) wrt t?
31072*t**3
Let w(u) = 421*u**2 + 28*u + 2239. Let k(b) = 421*b**2 + 23*b + 2246. Let c(l) = -5*k(l) + 4*w(l). Differentiate c(n) wrt n.
-842*n - 3
Suppose -5*s + 0*s = -5. Let g be 5/s*2 - -1. What is the second derivative of 4*r + 0*r + 0*r + g*r - 5*r**4 wrt r?
-60*r**2
What is the second derivative of 2469*a**5 - 101677*a**2 + 2551*a + 101677*a**2 wrt a?
49380*a**3
Let t(f) be the first derivative of 10*f**6/3 - 3*f**2/2 + 251*f + 104. Let u(o) be the first derivative of t(o). Differentiate u(m) wrt m.
400*m**3
Let o(g) = 4668*g**2 + 23*g + 24095. Let u(c) = -933*c**2 - 4*c - 4818. Let t(z) = 2*o(z) + 11*u(z). Find the first derivative of t(l) wrt l.
-1854*l + 2
Let t be 4 + 55/(-10) - 305/(-10). Differentiate -55563*f + t*f**2 + 32 + 55563*f wrt f.
58*f
Let d be (4*25/5)/((-3)/(-6)). What is the second derivative of -213*s - 37*s**3 - d*s**3 + 171*s wrt s?
-462*s
Let v(z) be the first derivative of -414*z**5/5 - z**3/3 + z**2/2 - 6904*z + 10118. What is the first derivative of v(n) wrt n?
-1656*n**3 - 2*n + 1
Let b(i) = -63*i + 192. Let u(a) be the first derivative of -63*a**2/2 + 191*a + 102. Let c(l) = -4*b(l) + 3*u(l). What is the derivative of c(v) wrt v?
63
Let q(a) = -9*a - 41. Let g be q(-6). Let r(t) = t + 8. Let l be r(g). Find the second derivative of -4*d - 10*d**4 + l - 21 - 2*d**4 wrt d.
-144*d**2
Let f(h) be the first derivative of -286*h**2 - 1521*h - 1546. Differentiate f(i) with respect to i.
-572
What is the second derivative of 94808 - 618*k**2 - 95893 + k - 1612*k**2 wrt k?
-4460
Let r = 10 - 11. Let h be 5 - (-1)/(1/r). Find the second derivative of -486*w**3 + 486*w**3 - 7*w + 12*w**h wrt w.
144*w**2
Let k(y) = 262*y - 223. Let r(d) = -2880*d + 2450. Let t(u) = 68*k(u) + 6*r(u). What is the first derivative of t(x) wrt x?
536
Let z(s) = -13*s**3 + 276*s**2 + 81. Let j(v) = -2*v**3 + 2*v**2 - 2. Let d(h) = -5*j(h) + z(h). What is the derivative of d(c) wrt c?
-9*c**2 + 532*c
Let g(d) = -46*d + 134. Let u(v) = 154*v + 139*v - 67 - 270*v. Let f(a) = -2*g(a) - 5*u(a). Differentiate f(z) with respect to z.
-23
Let z = 2808 - 2793. Let w(f) be the third derivative of 0 + 1/10*f**5 + 0*f**3 + z*f**2 - 13/120*f**6 + 0*f + 0*f**4. Find the third derivative of w(v) wrt v.
-78
Let c(r) be the first derivative of 55*r - 22*r + 37*r - 199 - 85*r**2 + 78*r. What is the derivative of c(v) wrt v?
-170
Let k(c) = 2222*c**4 + 8*c**2 + 10*c + 1394. Let q(f) = 889*f**4 + 3*f**2 + 4*f + 558. Let r(a) = -5*k(a) + 13*q(a). Find the second derivative of r(x) wrt x.
5364*x**2 - 2
Let t(l) = -6*l**3 + 5*l + 1. Let s(c) = 137*c**3 - c**2 + 120*c + 6. Let a(q) = -s(q) + 6*t(q). What is the second derivative of a(k) wrt k?
-1038*k + 2
What is the second derivative of -12676*l - 1307*l**2 - 1926*l**2 - 3504*l**2 + 5930*l wrt l?
-13474
Let b = -140 - -144. Let d(s) = -33*s - 49. Let o(y) = 65*y + 99. Let v(q) = b*o(q) + 9*d(q). Differentiate v(i) wrt i.
-37
Let w(q) be the third derivative of 28*q**7/5 + 65*q**5 - 2*q**2 - 784. Find the third derivative of w(s) wrt s.
28224*s
Let d(x) be the first derivative of -x**5/5 + 115*x**4/4 + x**3 - 1400*x - 2304. What is the derivative of d(m) wrt m?
-4*m**3 + 345*m**2 + 6*m
Let o(p) be the second derivative of 0*p**3 + 11/6*p**4 - 10*p + 0*p**5 + 4*p**2 + 4 - 1/30*p**6. Find the first derivative of o(f) wrt f.
-4*f**3 + 44*f
Let w be -2*((-33)/(-22))/((-3)/4). Let s be -1 + w - (-2 - -5 - 0). What is the first derivative of 30 + s - 4 + 6*j**4 wrt j?
24*j**3
Let r(t) be the second derivative of 77*t**5/10 + t**3/3 + 683*t**2/2 + t - 50. What is the derivative of r(b) wrt b?
462*b**2 + 2
Let r(j) = 3*j**3 + j**2 + 2*j + 6. Let z be r(-3). Let g be z/(-54) + 232/6. Differentiate -g - 23 + 4*l**2 + 8*l**4 + 19 with respect to l.
32*l**3 + 8*l
Let l = -10307 - -30518. What is the derivative of -2*r - 20203 + 78*r + l wrt r?
76
Let q(y) = -y - 21. Suppose 0*f + 5*f + 115 = 0. Let k be q(f). Find the third derivative of -859*h**5 - 31*h**k + 898*h**5 - 13*h**2 wrt h.
2340*h**2
Let k(t) = 2571*t**4 - 2*t - 103. Let r(v) = v**4 - 7. Let q(g) = -k(g) - 2*r(g). What is the second derivative of q(a) wrt a?
-30876*a**2
Let q(f) = 3282*f**2 + 11623*f + 15. Let a(p) = -8204*p**2 - 29058*p - 36. Let x(o) = 5*a(o) + 12*q(o). What is the second derivative of x(i) wrt i?
-3272
Let w(s) = -2*s**2 - 26*s + 5. Let q be w(-13). Differentiate 448 - q*t**3 - 526 + 5*t**2 + 0*t**2 with respect to t.
-15*t**2 + 10*t
What is the second derivative of 3466*s - 667 - 734*s**3 + 1078 - 411 wrt s?
-4404*s
Let o(s) = 81*s**2 - 121. Let z(t) = 40*t**2 - 60. Let b = -4 - -1. Let a(q) = b*o(q) + 5*z(q). Find the first derivative of a(j) wrt j.
-86*j
Find the second derivative of 4851*a + 84*a**3 - 4*a**3 + 2*a**2 - 5292*a + 83*a**3 wrt a.
978*a + 4
Let h(n) be the first derivative of -n**3/3 - 1536*n**2 + 3612*n - 1896. Differentiate h(l) wrt l.
-2*l - 3072
Let f(n) be the first derivative of n**4/2 - 23*n**3/3 + 16*n**2 - 2471*n - 2618. What is the first derivative of f(u) wrt u?
6*u**2 - 46*u + 32
Let u(k) be the second derivative of 0*k**5 + 0*k**4 + 4 - 5/6*k**3 - 5*k - 2*k**2 - 5/42*k**7 + 0*k**6. Find the second derivative of u(a) wrt a.
-100*a**3
Let n be (255 + 5)/(1 + 0). Suppose 4*l - n = 4. Differentiate l - 33 - 64 + 11*b wrt b.
11
Let l(q) be the first derivative of 10*q**3/3 + 4*q**2 - 3382*q + 4761. What is the derivative of l(d) wrt d?
20*d + 8
Let c(p) be the third derivative of p**5/30 + 319*p**4/8 - 3097*p**3/3 - 1904*p**2. What is the first derivative of c(v) wrt v?
4*v + 957
Let z(g) = 3*g**3 + 128*g**2 - 45*g + 9215. Let f(b) = -b**3 - 32*b**2 + 10*b - 2304. Let w(t) = -9*f(t) - 2*z(t). What is the first derivative of w(x) wrt x?
9*x**2 + 64*x
Let f(a) be the first derivative of 4 + 84*a - 115/2*a**2. What is the first derivative of f(o) wrt o?
-115
Let d(s) be the first derivative of -2/5*s**5 + 0*s**2 + 1/3*s**3 - 19/4*s**4 - 97 - 6*s. What is the third derivative of d(i) wrt i?
-48*i - 114
Let n = 7845 + -7845. Let y(k) be the first derivative of 0*k**3 - 7/4*k**4 + 25 + 13*k + n*k**2. What is the first derivative of y(f) wrt f?
-21*f**2
Let g(o) be the first derivative of 6027*o**5/5 - 47*o**3/3 - 6*o**2 + o + 5752. Find the third derivative of g(f) wrt f.
144648*f
Find the third derivative of -222*y**3 - 40*y**3 - 64 + 2*y**2 + 141 + 126 wrt y.
-1572
Let g = -15 - -30. Suppose 3*u - g = -4*s, 5 = 3*s + 4*u - 1. What is the third derivative of 0*h**6 - 9*h**2 - s*h**6 + 24*h**2 wrt h?
-720*h**3
Let w = -192 - -197. What is the third derivative of -14*i**2 + 10*i**4 - 3*i**w - 7*i**2 - 54 + 54 wrt i?
-180*i**2 + 240*i
Let v(o) = -o - 20. Let x be v(-22). Let y be (-1)/(-3) + (-120)/(-54)*3. Differentiate y + 107*f**2 + 11 - 90*f**x wrt f.
34*f
Suppose 0 = -5*q, 0*f + 31 = f + 3*q. Differentiate f + 55 + 10*j**3 + 22 - 34 - 2*j**4 wrt j.
-8*j**3 + 30*j**2
Let s(u) be the first derivative of -62 + 0*u**5 + 0*u**2 + 0*u**4 + 0*u - 56/3*u**3 + 23/6*u**6. Find the third derivative of s(m) wrt m.
1380*m**2
Let y(j) = 8*j**3 + 815*j + 4. Let v(o) = -o**3 - o**2
|
{
"pile_set_name": "DM Mathematics"
}
|
Let x = -31 + 36. Let f be -4 - x/((-10)/8). Suppose -10 = -4*j + 2. Solve 5*g + m + 22 = f, 4*m + 30 - 10 = -j*g for g.
-4
Let p = 12 + 12. Suppose 0 = -t + 2*x - 3*x - 2, 4*x = 4*t - p. Solve 0*g = t*n - g + 6, 0 = -5*g for n.
-3
Suppose -4*y = 1 - 9. Let l = y - -3. Solve -m + 2 = 2*b - b, -m + l = 0 for b.
-3
Let k = 6 + -3. Suppose 4*u - k*f - 18 = -f, -2*f = 4*u - 22. Suppose p - 2*p = -u, -4*v + 23 = -p. Solve -4*s = y + v, 16 = -4*s + 3*y - 7*y for s.
-1
Let p(o) = -o**2 + 13*o + 16. Let r be p(14). Let m(x) = 5*x**3 - x**2 - 2. Let q be m(r). Solve k = -2*k - 5*n + q, -3*k - n + 14 = 0 for k.
3
Suppose 0 = -10*q + 15*q + 5. Suppose 2*d - 58 = 3*d + 3*o, -3*d = -4*o + 148. Let h be (q - d)/(4 - 1). Solve n - 24 = -4*y + 2*n, -h = -y + 3*n for y.
5
Suppose -55 = -3*i - 2*o, 22 = 5*i - 2*o - 59. Solve -5*q - i = -j - j, j = -q - 2 for q.
-3
Suppose -11*c - 4*c + 120 = 0. Solve -3*l - c = -5, 3*l = 2*u + 1 for u.
-2
Let i(m) = -m**3 + 5*m - 5*m + 4*m**2 + 4 - 3*m. Let j(a) = 3*a**2 + 18*a - 18. Let p be j(1). Let y be i(p). Solve -n - 3*o - 8 = -0*n, 4*n = -y*o - 24 for n.
-5
Let a(t) = 4*t - 6. Let y be a(6). Let o = 24 - y. Solve 3*c = -m + o - 2, -5*m + 9 = 4*c for c.
1
Let s be 0 + -1 + -2 + 4/(-4). Let u(a) = -a + 1. Let h be u(s). Solve 3*j + 18 = 4*m, -j - 23 = -h*m + 3*j for m.
3
Suppose -5*t + 5*b + 30 = 0, 6*t - 5*t + 3*b = 22. Solve -4*c = 3*s - 1 + 21, -2*c - t = 2*s for s.
0
Suppose 2*a - 2 = 2*l, -5 = -9*l + 11*l - 3*a. Solve -10*i + 6*i - f = 24, l*i - 4*f = 6 for i.
-5
Suppose 5*c = -20, -2*h + c - 8 = -5*h. Solve 7 = 3*x + h*o + 23, 5*o + 20 = 5*x for x.
0
Suppose 414 = 13*z - 4*z. Let v = -39 + z. Solve t = -q + 4, -3*q + v*q - 3*t = 9 for q.
3
Let h be (8/20*5)/(21 - 20). Solve -h*a = 2*a + 2*z + 2, -3*z = a - 7 for a.
-2
Let j be (-3 - (1 + -1)) + (32 - 26). Suppose 21 = 2*u + 3*r, j*u + 5*r = -u + 37. Solve s + u*k + 10 = 0, -2*s = -2*k + 5*k + 11 for s.
-1
Let k(b) = b**3 + 8*b**2 - b + 8. Let l be k(-8). Suppose 2*m - 4 = 5*g + m, -l = -5*g - 4*m. Solve -4*j + 10 + 7 = 5*t, g = 2*t + 5*j for t.
5
Let z(k) = 14*k**2 + 84*k + 3. Let d be z(-6). Solve 3*h - 2*c - 5 = 0, -6*c = -d*h - c + 8 for h.
1
Let v(m) = m**3 - 4*m**2 + 2*m - 5. Let p be v(4). Suppose a - 4 + 3 = 0. Let q = p - a. Solve y - 3 = -2*y - 3*w, 0 = 4*y + q*w for y.
-1
Let a = 48 + -101. Let s = a - -55. Let u = 3 - 1. Solve 2*i + s*x - 2 = u, -5*i + 7 = 4*x for i.
-1
Suppose -4*v + 12 = 4*z, -v + 5*v - 30 = 5*z. Let u(a) = -a**2 - 7*a + 5. Let j be u(-8). Let i = j - -6. Solve 4 = i*o - v*h, -2*o - 4*h + 0*h = -10 for o.
3
Let s be (-18)/(-4)*(-40)/(-12). Let y = s - 9. Solve -4*m + 3*i = y + 4, 3*m = 2*i - 7 for m.
-1
Let z = -11 - -18. Let g(n) = -2*n**2 - 13*n - 13. Suppose -r = -3 + 8. Let j be g(r). Solve 2*f + j*o + 6 = 6*f, 4*f - o = z for f.
2
Suppose z + 2 = -5*a - 8, -4*z - 4*a = 8. Suppose z = -3*s - 2 + 8. Solve -2*h - 10 = -3*u, -5*h - s*u - 1 + 14 = 0 for h.
1
Let p = -275 - -277. Solve p*t + h - 5*h = -2, 4*t + 7 = 5*h for t.
-3
Suppose 20 = -8*p + 148. Solve w - 7 + p = -3*g, 4*g - 3*w = -25 for g.
-4
Let o be 140/75 - 2/(-15). Suppose 0 = -0*l + 4*l - 16. Suppose l*t = o*h + 12, 2*t - 16 = -5*h + h. Solve -2*m = x - t*x + 5, -m = -4*x for x.
-1
Let j(c) = -c**2 + 5*c - 1. Let b be j(4). Let h(d) = d - 2. Let i be h(9). Let r be 12/18 - i/(-3). Solve 5*q - 18 = -b*w, -r*q - q = -4*w - 8 for w.
1
Suppose -11 = -9*l + 16. Solve -4*o - 3*i + l = 0, 9*i + 9 = -2*o + 4*i for o.
3
Let o be 3 + -3 - (-6)/9*3. Solve 3*i = -3*g + 9, 0 = g - o*i - 1 + 13 for g.
-2
Let n = 357 - 355. Solve 4*g + 6 - 1 = -3*l, -8 = n*l + 5*g for l.
1
Suppose -17 + 14 = t. Let a = t - -5. Solve 16 = 2*m + m - a*f, 2*m + 4*f = 0 for m.
4
Let m(d) = d**2 + 5*d - 264. Let g be m(-19). Solve -3*w = -g*u - 19, -4*w = 2*u - 0*u - 16 for u.
-2
Suppose 0 = 12*x - 5*x - 371. Let c = x + -50. Solve 3*v + 4 = -t, 2*v + c*v + 5 = 0 for t.
-1
Suppose 2*l - 3*i = -15, -l + 4*i - 20 = 4*l. Let n(h) = 2*h + 3. Let p be n(l). Solve 0 = -p*g - 2*y + 6*y - 25, 3*y = 4*g + 24 for g.
-3
Suppose -41*a + 40*a - 5 = 2*z, 0 = -3*a - 4*z - 5. Solve -4*l = 4*v - 2*l + 6, a*l + 15 = 4*v for v.
0
Suppose -a = 4*y - 2, 5*y + 0*y = -4*a + 19. Solve a*l - l + x = 24, 16 = 2*l + 2*x for l.
4
Suppose -80*z = -69*z - 22. Solve -3*y = -5*y - 3*k + 25, -z*y = 4*k - 30 for y.
5
Suppose -159 - 97 = -32*y. Suppose 5*p - 63 - 62 = 0. Solve -5*s + 2 + y = -c, -4*c - p = -5*s for s.
1
Suppose 12 = 2*h - 4. Suppose 4*b = 4, 0 = -2*t - 3*t + 2*b + h. Suppose 0 = 3*y + 3, 5*y = 3*n + t*n - 140. Solve 3*v + 17 = r, 3*r - n = 5*v + 8 for v.
-4
Let n(o) = -3*o**2 + 10*o + 2. Let x be n(4). Let b be ((-1)/(-4))/(x/(-120)). Solve -2*u = -3*u + 5*s, b = -2*u + 5*s for u.
-5
Suppose 0 = -4*k + 110 + 10. Let x = -21 + k. Suppose 3*j - 33 - x = 0. Solve 3*h = z - j, -h - h - 5 = -5*z for h.
-5
Let n be (-66)/(-18)*(3 - 0)*1. Let q = 6 - 4. Solve -3*s - 2 + n = -2*c, 0 = 3*c + q*s - 19 for c.
3
Let b = 1612 - 1609. Solve -r - 20 = r + b*m, m = -3*r - 16 for r.
-4
Let i(z) = -18 + 15*z - 39*z + 18*z. Let m be i(-4). Solve -1 = 5*s - 4*w + m*w, w = 2 for s.
-1
Let l(w) = w + 11. Let v be l(-9). Suppose 0 = 10*a - 12*a - 14. Let t be -3 + 0 + 2 - a. Solve h + 5*q = 14, q = -v*q + t for h.
4
Let u(n) be the second derivative of -n**5/20 + n**4/3 - n**3/3 + 9*n. Let a be u(3). Solve -24 = -4*s + 8*z - 4*z, 0 = -s + a*z + 10 for s.
4
Suppose 2*g + 1 - 5 = 0. Suppose -44 = -5*d + 5*m + 1, 0 = 2*d - 5*m - 3. Let x be 19/76 - d/(-8). Solve -x*r - 28 + 5 = -3*s, -g*s - 10 = 5*r for r.
-4
Let t = -134 - -35. Let o = 102 + t. Solve -o*a = 7*l - 3*l + 15, -a = -2*l + 5 for l.
0
Let k be 546/56 - 10 - 1/(-4). Let h be 9/(6/(-2)) - -1. Let j = 0 - h. Solve -j*v = 4*r - 3*r, -3*r + v + 7 = k for r.
2
Suppose -19*q = 25*q - 132. Solve 0 = -q*w + 4*y - 5, -w = -0*w + 5*y - 30 for w.
5
Let t = -33 + 23. Let g be (-4)/t - (-18)/5. Suppose 0 = 2*k - 1436 + 1432. Solve -2*u + 19 = k*u - p, -p + 21 = g*u for u.
5
Let l be (689/(-5))/(-13) + (-2)/(-5). Solve 2*q + i + 1 = 4*i, 3*i - l = 4*q for q.
-5
Let j be (1 - -140) + (-112)/28. Let v = j + -137. Let o = -2 + 6. Solve 2*t + 2*t + a + 11 = v, 0 = o*t - 3*a + 15 for t.
-3
Suppose -6*o - 144 = -42*o. Solve 5*w = 3*n + 29, 6 = o*w - 10 for n.
-3
Let n = 26 + -10. Suppose 15*d = n*d - 7. Let s = -10 - -17. Solve x = 5*v - 13, 2*x + s = 4*v - d for x.
-3
Let u(h) = -h**3 + 2*h**2 + 4*h - 5. Let f be u(2). Solve 0 = -f*b - 4*l - 4, -6*l = -3*b - l + 32 for b.
4
Suppose t - 4 = -k + 3, 0 = 3*k - 3*t - 3. Solve x + r = -6, 14 = -2*x - k*r - 0*r for x.
-5
Suppose -4*r - 150 + 42 = 0. Let k = 29 + r. Suppose j - 4 = -1. Solve 0 = -k*x + j - 9, 0 = -5*t - 5*x - 40 for t.
-5
Suppose -9*q + 36 = -6*q. Suppose 3 = -q*t + 51. Solve x + 5*h - 11 = -x, -4*x + 16 = t*h for x.
3
Let k(i) = 2*i**2 + 9*i - 15. Let o be k(3). Solve -2*g - 2*s + 0*s - 2 = 0, 0 = 5*g - 2*s - o for g.
4
Let k(n) = n - 21. Suppose 0 = -2*s - 3*l + 46, -3*s - l = -6*s + 69. Let r be k(s). Solve -x + r = 2*i, 0 = -3*i + 7*i + 4*x + 4 for i.
3
Suppose 3*v + 9 = -3, -4*y + 28 = -3*v. Let m(u) = u**3 - 5*u**2 + 4*u + 5. Let s be m(4). Solve -5 = l + y*d + 11, 5*l = -5*d - s for l.
4
Suppose -x = 4*x - 165. Let i = -29 + x. Solve -i*d = 5*k - 17, 0*k - 4*k + 4 = 0 for d.
3
Let w be -2 + 2 - (5 + -5 + -2). Solve 2*u = -w*k, -4*u - 25 + 1 = -2*k for u.
-4
Suppose -s - 7*x + 7 = -9*x, -x - 11 = -2*s. Solve -3*p + 2 = -s*p + 2*r, 4 = 2*p + r for p.
1
Let g be (10 + (-2)/(-1))*96/18. Let d = 64 - g. Solve 0 = s + b - 6*b - 25, -2*s - b - 5 = d for s.
0
Let s = 136 + -53. Let f = s + -83. Solve -3*w + 0*b + b + 15 = f, -4*w = -2*b - 22 for w.
4
Let d be (-15)/10*-2*1. Suppose 2*v - 4*j - 8 = 0, 24 = 3*v - 3*j - 3. Suppose v*w - 8 = 10*w. Solve -5 = -4*f + 5*x, 3*f - w*f = d*x - 4 for f.
5
Let y = 117 - 169. Let b = y - -55. Solve 3*v + 4*s + 21 = 0, 4*v = 5*s - 2*s - b for v.
-3
Let z(q) = 18*q - 157. Let a be z(9). Solve 6 = j - a*g + 22, 20 = 3*j + 2*g for j.
4
Suppose -10 = -3*g + 5*a, g + 2*a + 3 = -1. Suppose -13*y + 8*y + 75 = g. Suppose h - 88 = -3*h. Solve 3*k + 4*l + h = -1, 5*k + 2*l + y = 0 for k.
-1
Let z(k) = -k**2 + 2*k + 7. Let w be z(-3). Let r be (-6)/w*(16 + -12). Solve -r*p = 4*o - 7, 23 = -4*o + 3*p - 0*p for o.
-2
Let h
|
{
"pile_set_name": "DM Mathematics"
}
|
.
4
Let b(x) = -x + 19. What is the remainder when b(-10) is divided by 44/3 + 2/6?
14
Suppose l + 3*l - 60 = 0. Let o = l + -9. What is the remainder when 17 is divided by o?
5
Suppose 0 = -3*l - 6 + 165. Calculate the remainder when l is divided by 14.
11
Let c(n) = -14*n + 1. Let x(q) = -41*q + 3. Let u(i) = -17*c(i) + 6*x(i). Calculate the remainder when u(-3) is divided by 14.
11
Let f(q) = 2*q + 1. Calculate the remainder when 7 is divided by f(1).
1
Suppose 4*j = -3*t + 28, 5*t + 7*j - 65 = 4*j. Calculate the remainder when 30 is divided by t.
14
Let g(s) = -s**2 - 13*s - 9. Let h be g(-7). What is the remainder when (h/2)/(1/2) is divided by -1*50/(-6) - (-2)/3?
6
Let b be (-6)/(-5)*5/2. Suppose -3*p + 2*p = -3*o + 53, 31 = o + b*p. Calculate the remainder when o is divided by 10.
9
Let v(z) = z + 4. Let o = -1 + 9. Let j be v(o). Suppose 2*n + j = -p + 3*p, 0 = p + n - 14. Calculate the remainder when 19 is divided by p.
9
Suppose 3*u - 114 = -0*u. Suppose 5*y = 5*a - 110, a = -2*y + 10 + 6. Calculate the remainder when u is divided by a.
18
Suppose 3*c + 31 = 8*c + 4*f, 0 = -3*c + 5*f - 11. Suppose -4*t - c*d = 332, t + 102 = 2*d + 2*d. Calculate the remainder when t/(-6) + (-4)/12 is divided by 5.
4
Suppose -1 = r, q + 2*q = -5*r + 85. Let t = q - 18. Suppose -2*m - 3*m + 15 = 0, -2*b = -m - 41. What is the remainder when b is divided by t?
10
Let m be -2 - (-404)/(2/1). Suppose 0 = 3*c + c - 3*h - 146, 5*h = -5*c + m. What is the remainder when c is divided by 13?
12
Let i be 4/(-4)*(-14)/(-2). Let y(l) = -l**2 - 12*l + 5. Let p be y(i). Suppose -q - 4*g = -3 - 49, g = -q + p. Calculate the remainder when q is divided by 19.
17
What is the remainder when 23 is divided by (9/2)/(6/16)?
11
Let h be 3100/18 - 2/9. Suppose 5*z - 15 = 0, -z + h = 5*v - 2*z. What is the remainder when v is divided by ((-8)/10)/((-4)/90)?
17
Let c = -14 + 20. What is the remainder when 10 is divided by c?
4
Let r(f) = 10*f + 2. Let p = 61 - 16. Calculate the remainder when r(2) is divided by p/10*(-16)/(-6).
10
Let h be (2*1)/(-2 + 3). Let s = -29 + 45. Calculate the remainder when h/8 + (-246)/(-8) is divided by s.
15
Suppose -s = -z - 3*z - 26, 3*s - 8 = -2*z. Suppose -s*y + 3*y + 66 = 0. What is the remainder when y is divided by 12?
10
Suppose 36 = -3*o + j, -4*o - 6 = 5*j + 23. Let u = 3 - o. Calculate the remainder when 53 is divided by u.
11
Suppose -2*n - 183 = -2*f - 3*f, -3*n = 4*f - 128. What is the remainder when 173 is divided by f?
33
Calculate the remainder when 33/(-6)*(-2 - 0) is divided by (6/(-9))/((-2)/18).
5
Suppose -10*t + 21*t - 231 = 0. Calculate the remainder when (166/(-4))/(2/(-4)) is divided by t.
20
Let u(s) = -s**3 + 3*s**2 + 2*s - 4. Let z be u(3). Let b(y) = y**2 - 3*y + 6*y + 3 + 0*y**z. What is the remainder when 37 is divided by b(-5)?
11
Suppose 0*u = -3*u + 111. Let y = u - 8. Calculate the remainder when y is divided by 10.
9
Let b(a) = a**3 - 8*a**2 - 10*a + 12. Let f be b(9). Let c(l) = 5*l**2 + 3*l - 1. What is the remainder when c(f) is divided by 28?
25
Calculate the remainder when 2 + 82 - 1/((-5)/(-5)) is divided by 21.
20
Let p(q) = q**3 + 5*q**2 + q - 3. Let c be (0 - 1)*(3 + 1). What is the remainder when 26 is divided by p(c)?
8
Let o = 37 - 25. Let g be (4 - 5)/((-3)/30). Calculate the remainder when o is divided by 370/50 + (-4)/g.
5
Let r(y) = y**2 - 6*y + 10. What is the remainder when r(8) is divided by 15?
11
Let k be (5 + -5)/(-1 + -1). Suppose -63 = 3*d - k*d. What is the remainder when 26 is divided by (4/3)/((-2)/d)?
12
Let t = -21 + 21. Suppose v + 75 = 6*v. Let r = v + t. What is the remainder when r is divided by 4?
3
Let c = -10 + 40. Suppose -2*n + c = 3*n. What is the remainder when n is divided by 4?
2
Calculate the remainder when 6 is divided by 88/14 + 7/((-49)/2).
0
Let i(r) = r**2 - r + 1. What is the remainder when 49 is divided by i(4)?
10
Let n(d) = -d**2 - 12*d + 2. Suppose 21 = 3*g - 3. What is the remainder when n(-9) is divided by g?
5
Suppose -3*i - 36 = -5*p, -2*i + 4*p - 40 = 2*i. Let v(k) = 2*k - 2. Let w be v(i). Let c = w + 27. What is the remainder when 31 is divided by c?
9
Let q be 1/2 + 90/20. Let d = q + 2. What is the remainder when d is divided by 5?
2
Let i be (-1)/(0 + (-1)/(-9)). Let j = 31 + i. Suppose 3*b - 4*x = 40, 2*x = -5*b + 2*b + 34. What is the remainder when j is divided by b?
10
Suppose -69 + 55 = -g. Calculate the remainder when 67 is divided by g.
11
Let m be -2 - (2 + -1*2). Let n = m + 2. Suppose -3*z + o + 51 = -2*o, n = 3*z - 4*o - 54. Calculate the remainder when z is divided by 5.
4
Let p = -6 + 11. Let w = 38 + -20. Calculate the remainder when w is divided by p.
3
Suppose 4*o - 7*o = -381. Calculate the remainder when o is divided by 26.
23
Suppose -67 = -d - 5*i, 0 = -0*i - 5*i + 25. Calculate the remainder when d is divided by (3/2 + -2)*(-4 + -18).
9
What is the remainder when (-2064)/(-45) - (-2)/15 - -2 is divided by 2/(-9) - (-184)/18?
8
Let p = -6 + 14. Let i(q) = -q**2 + 11*q + 13. Calculate the remainder when i(10) is divided by p.
7
Let v be 3/((-699)/354 - -2). Suppose 4*b - 3 = -5*t - 143, -4*t - 2*b = v. Let g = t + 63. What is the remainder when g is divided by 11?
9
Let x = 8 + -6. Suppose -3*n = -4*o - x, -n - 8 = -0*o + 3*o. Let z(h) = -4*h**3 - 2*h**2 - 1. What is the remainder when z(o) is divided by 8?
7
Let w = 1864 - 1141. Suppose 135 - w = -4*f. Suppose -5*d = 3*g - f - 11, g = -4*d + 132. What is the remainder when d is divided by 12?
10
Suppose 2*l = -r + 13, 4*r - 3*r = 2*l + 13. What is the remainder when r is divided by 3?
1
Let f(x) = -x**2 - 10*x. Let i be f(-8). Suppose -s = -0*s - 3*d - 24, -s + i = -d. Calculate the remainder when 33 is divided by s.
9
Suppose -3*a = -2*c + 82, -102 = -2*c - a - a. What is the remainder when c is divided by (2*-1)/(-2) + 23?
23
Suppose 4*a - 3*m = 17, 2*a - 5*m - 7 = -4*m. Suppose -5*n + 71 = 4*c - 2*c, 5*c - 110 = n. What is the remainder when c is divided by 18/a + (-6)/(-2)?
11
Let d = 60 - 36. Let j = -4 - -8. What is the remainder when j is divided by (1/(-2))/((-6)/d)?
0
Let b = 76 - 38. Calculate the remainder when 74 is divided by b.
36
Let t(c) = c**2 + c + 2. Let f = 5 - 9. Let g be t(f). Let s = g + 7. What is the remainder when 62 is divided by s?
20
Suppose 3*n = -4*b + 2*b + 15, -n - 46 = -5*b. Suppose 5*r - 12 - 8 = 0. What is the remainder when r is divided by (b/21)/(3/21)?
1
Let n(p) = -2*p**2 + 8 + p + 0*p**3 + p**3 + 8*p**2. Let z be n(-6). Suppose 0 = o + z*o - 36. What is the remainder when 35 is divided by o?
11
Let m(x) = -3 + 0 + 3*x - 1 + 3. Suppose 3*k - 4*y - 8 = k, 2*k + 5*y - 17 = 0. What is the remainder when m(k) is divided by 5?
2
Let t = 4 + -2. Suppose -4*r - t*x + 22 = 0, 4*x = 3*r + x - 3. Suppose -r*l + 23 = -21. Calculate the remainder when l is divided by 4.
3
Suppose 2*g + 21 - 51 = 0. Calculate the remainder when g is divided by 6.
3
Suppose 0 = 2*r - 62 - 44. Suppose -3*c = -4*i + 78, 8*c - 4*c = -4*i + 64. What is the remainder when r is divided by i?
17
Suppose 101 - 26 = 5*x. What is the remainder when (-1)/(-1) + (-2 - -43) is divided by x?
12
Suppose -3*l - 36 = -7*l. What is the remainder when 14 is divided by l?
5
Let b be (-100)/(-24) - (-3)/(-18). Calculate the remainder when 34 is divided by (b/(-8))/(2/(-48)).
10
Let p(b) = b + 1. Let o be p(3). Let k = o - -1. Calculate the remainder when 18 is divided by k.
3
Suppose -2*d + 2*h = -36, 3*d = d - 3*h + 16. What is the remainder when 54 is divided by d?
12
Let t(a) = -a**2 - 12*a - 2. What is the remainder when 44 is divided by t(-11)?
8
Let x(w) = w + 3. Let f be x(0). Suppose 5*n - 2*y - 88 = 0, -f*y + 15 = n - 6*y. Suppose i - 29 = 6. Calculate the remainder when i is divided by n.
17
Suppose b + 21 - 30 = 0. Calculate the remainder when b is divided by 4.
1
Let g be (-6)/(-9) - (-21)/9. Suppose -g = l - 2*l. Suppose l*r = d + 4, 4*r + 5*d - 23 - 14 = 0. What is the remainder when 4 is divided by r?
1
Let b = 4 - -58. What is the remainder when b is divided by 248/12 + 2/6?
20
Let c be -1 - (2 + 6/(-3)). Let u = 13 - c. Calculate the remainder when u is divided by 4.
2
Let h be 1/(4/36*3). Suppose q - 31 = -h*r, q + 2*r = -q + 82. Calculate the remainder when q is div
|
{
"pile_set_name": "DM Mathematics"
}
|
*3
Collect the terms in -l + 9*l - 14 + 11 + 22.
8*l + 19
Collect the terms in -2*f - 3*f**2 - 14*f + 2*f.
-3*f**2 - 14*f
Collect the terms in 1 + 2*d + 12 + 8.
2*d + 21
Collect the terms in -66*j**3 + j - j**2 - j + 84*j**3.
18*j**3 - j**2
Collect the terms in -19*l + 6*l - 71*l - 54*l.
-138*l
Collect the terms in -26232 + 26232 - 2*a.
-2*a
Collect the terms in 12 + 1 + 3*j - 13.
3*j
Collect the terms in -2*u**2 + 106 - 3*u**2 - 106 + 6*u**2.
u**2
Collect the terms in -3*b**3 - 6*b**3 - b**3 + 4*b**3.
-6*b**3
Collect the terms in 12*d**2 - 11*d**2 + 9*d**2 + 13*d**2.
23*d**2
Collect the terms in 931 - 2798 + 935 - l**2 + 932.
-l**2
Collect the terms in -5*q + 5*q - 5*q + 3*q.
-2*q
Collect the terms in -18*r**2 - 2*r + 0*r + 2*r.
-18*r**2
Collect the terms in -31*p**2 - 198*p**2 + 9*p**2 - 24*p**2.
-244*p**2
Collect the terms in 9 - 2*z - 13 + 1 + 3.
-2*z
Collect the terms in -14 + 3*p**2 + 31 - 17.
3*p**2
Collect the terms in 91*u + 30*u**3 - 91*u.
30*u**3
Collect the terms in 926*m**3 - 458*m**3 - 469*m**3.
-m**3
Collect the terms in -20*c - 18*c + 48*c.
10*c
Collect the terms in -34*a + 11*a - a + 12*a.
-12*a
Collect the terms in -43*y**3 + 92*y**3 + 39*y**3.
88*y**3
Collect the terms in -v**3 + 3*v**3 + 4*v**2 + 22*v**2 - 7*v**2.
2*v**3 + 19*v**2
Collect the terms in 29 + 2*q - 11 + 15.
2*q + 33
Collect the terms in -3*f**3 - 7 + 8 - 1.
-3*f**3
Collect the terms in 145*j**3 + 144*j**3 - 441*j**3 + 149*j**3.
-3*j**3
Collect the terms in -395 - 41*p + 395 + p**2.
p**2 - 41*p
Collect the terms in 9*x - 14 + 21 - 7.
9*x
Collect the terms in 0*q - 2*q**3 - 6*q**3 - q**3 + 9*q.
-9*q**3 + 9*q
Collect the terms in 2*u**2 - 3 - 9*u**2 + 3.
-7*u**2
Collect the terms in 20*b - 49*b + 7*b + 27*b.
5*b
Collect the terms in 2049 - 22*i**2 - 2049.
-22*i**2
Collect the terms in -31*b**2 + 58*b**2 - 32*b**2.
-5*b**2
Collect the terms in -267*d**2 + 129*d**2 + 145*d**2.
7*d**2
Collect the terms in 2256*l + 13 + 2*l**3 - 2256*l.
2*l**3 + 13
Collect the terms in -25*h - 5*h + 30*h + 4*h**2.
4*h**2
Collect the terms in -d**2 + d**2 + 7*d**2 - 4*d**2.
3*d**2
Collect the terms in 2*v + 106 - 106.
2*v
Collect the terms in q**2 + 54*q**3 - 32*q**3 - 4*q**2 - 32*q**3.
-10*q**3 - 3*q**2
Collect the terms in 21*i - 79*i + 23*i + 13*i + 23*i.
i
Collect the terms in 9*t**3 - t**3 - 2*t**3 - 4*t**3.
2*t**3
Collect the terms in 13*d**3 - 40*d**3 + 17*d**3 + 8*d**3.
-2*d**3
Collect the terms in -29 - 2*p**2 + 29.
-2*p**2
Collect the terms in 3*i + 6*i + 0*i + 3*i - 7*i.
5*i
Collect the terms in -2*q + 9*q - 5*q.
2*q
Collect the terms in -8*o + 16*o - 4*o.
4*o
Collect the terms in -b**3 - 8*b**3 + 26*b**2 - 5 + 3.
-9*b**3 + 26*b**2 - 2
Collect the terms in -17*r**2 + 6*r**2 + 9*r**2.
-2*r**2
Collect the terms in -36674*u**3 + 0*u**2 + u**2 + 36673*u**3 - u**2.
-u**3
Collect the terms in 46*a**2 - a - 45*a**2 + a.
a**2
Collect the terms in -35 - 2*n + 2*n + n.
n - 35
Collect the terms in 33 - 6 - 2*x**3 - 12 - 15.
-2*x**3
Collect the terms in 5*u**3 - 11 + u**3 + 8 - 5*u**3.
u**3 - 3
Collect the terms in 6*t**2 - 317*t + 317*t - 43*t**2.
-37*t**2
Collect the terms in 3 - 19 - d + 16.
-d
Collect the terms in -4 - 8 + 8 - 11*y.
-11*y - 4
Collect the terms in 6*r + 3*r - 15*r.
-6*r
Collect the terms in -10*z**3 + 8*z**3 + 7*z**3.
5*z**3
Collect the terms in 4*g**2 - 25*g**2 - 125*g**2.
-146*g**2
Collect the terms in -241*l**3 + 91*l**3 + 80*l**3 + 79*l**3.
9*l**3
Collect the terms in -1399 + 3*c + c - 4*c - 2*c.
-2*c - 1399
Collect the terms in 10*f**2 + 82*f - 5*f**2 - 82*f.
5*f**2
Collect the terms in 4*j - 2*j + 5*j.
7*j
Collect the terms in -27*i**3 + 55*i**3 - 36*i**3.
-8*i**3
Collect the terms in -877*b**2 + 0*b - 652*b**2 - 2*b.
-1529*b**2 - 2*b
Collect the terms in 348 - 13*o - 348.
-13*o
Collect the terms in 24*s + 8777 - 17*s + 16*s - 8777.
23*s
Collect the terms in -7*w - w**2 - 3*w + 2*w + 8*w.
-w**2
Collect the terms in -12987 + 12987 - 5*s**3.
-5*s**3
Collect the terms in 1583 - 4*d - 1583.
-4*d
Collect the terms in 45*d - 10*d**2 - 38*d + 2*d**2.
-8*d**2 + 7*d
Collect the terms in -2*l**2 - 18*l**2 - 7*l**2 - 2*l**2.
-29*l**2
Collect the terms in -2 - 9*w**3 + 2.
-9*w**3
Collect the terms in 34*w - 25*w + 24*w.
33*w
Collect the terms in -429*g**3 + 404*g**3 - 911*g**3.
-936*g**3
Collect the terms in 4*o**3 - 9*o + 9*o + 0*o + 0*o.
4*o**3
Collect the terms in 0*a**2 - 2*a**3 + 301 + 0*a**2.
-2*a**3 + 301
Collect the terms in -2*z**2 + 5*z**2 - 4*z**2.
-z**2
Collect the terms in -27*b + 16*b + 25*b.
14*b
Collect the terms in -5*a + 0*a - 11*a.
-16*a
Collect the terms in 13 - 4 - 9 + 4*r.
4*r
Collect the terms in -16 + 41 - 6*a - 16.
-6*a + 9
Collect the terms in -3*x**3 + 56*x - 56*x.
-3*x**3
Collect the terms in 12 + 10 - 22 + q.
q
Collect the terms in 46*q**3 + 14*q**3 + 50*q**3.
110*q**3
Collect the terms in 7*d**3 + 0*d**3 - 8*d**3.
-d**3
Collect the terms in -6*r**2 + 9*r**2 - 5*r**3 - 3*r**2.
-5*r**3
Collect the terms in 10*z**3 - 19*z**3 + 4*z**3 + 2*z**3.
-3*z**3
Collect the terms in -15*u**3 - 24*u**3 - 15*u**3 + 61*u**3.
7*u**3
Collect the terms in 17 + 24 - 16 + l.
l + 25
Collect the terms in -215 + 215 + 2*a.
2*a
Collect the terms in -117*k**2 - 373*k**2 - 169*k**2 - 543*k**2.
-1202*k**2
Collect the terms in 2*p**2 - 8*p**2 - 3*p**2 - 5*p**2 + 13*p**2.
-p**2
Collect the terms in 0*t + 7*t - 6*t.
t
Collect the terms in -113*k**2 + 220*k**2 - 116*k**2.
-9*k**2
Collect the terms in 185*h**2 + 190*h**2 + 193*h**2 - 569*h**2.
-h**2
Collect the terms in -2*d**2 - 36236*d + 36236*d.
-2*d**2
Collect the terms in y - 155 + 155 + y.
2*y
Collect the terms in -17*f**3 - 25*f**3 + 5*f**3.
-37*f**3
Collect the terms in s**3 + 4*s**3 - s**3 + 0*s**3 - s**3.
3*s**3
Collect the terms in 303 - 10*u**3 - 610 + 307.
-10*u**3
Collect the terms in 20*a**2 - 28*a**2 + 15*a**2.
7*a**2
Collect the terms in -16*k**3 + 3*k**3 + k**3.
-12*k**3
Collect the terms in 9*q - 8*q - 3020 + 3020.
q
Collect the terms in 24*j + j + 2*j - 8*j.
19*j
Collect the terms in 7*t**2 - 22*t**2 - 2*t**3 + 8*t**2 + 7*t**2.
-2*t**3
Collect the terms in 46*d - 15*d + 50*d.
81*d
Collect the terms in 3445 + 8*t - 3445.
8*t
Collect the terms in -108*d**3 + 106*d**3 - 1 - 10 + 11.
-2*d**3
Collect the terms in -5*z**2 + 4*z**2 - 3*z**2.
-4*z**2
Collect the terms in -3*m**2 + 17*m**2 - 2*m**2 - 11*m**2.
m**2
Collect the terms in 11*f**3 + 6*f**3 - 14*f**3 + 0*f**3.
3*f**3
Collect the terms in -5*i - 4*i + 2*i + 7*i + 3*i.
3*i
Collect the terms in -4 + 4 - 3*v + 2*v - 3*v.
-4*v
Collect the terms in -67 + 67 - 40*g**2.
-40*g**2
Collect the terms in 5*g - 7*g - g.
-3*g
Collect the terms in -2 - 1228*p**3 - 1 + 3 + 1226*p**3.
-2*p**3
Collect the terms in -56*j + 20*j - 38*j.
-74*j
Collect the terms in 1097*c - 1097*c - 14*c**2.
-14*c**2
Collect the terms in 52 + 3*z**2 - 16 - 2*z**2.
z**2 + 36
Collect the terms in -17*h - 29*h - 3*h**2 - 15*h.
-3*h**2 - 61*h
Collect the terms in -315*k**3 - 319*k**3 + 633*k**3.
-k**3
Collect the terms in 15*g - 10*g - 5*g + 32*g**2 - 29*g**2.
3*g**2
Collect the terms in 10*u + 56*u + 3 + 0.
66*u + 3
Collect the terms in 9*b**2 - 19*b**2 - 12*b**2.
-22*b**2
Collect the terms in -244*b**2 + 431*b**3 + 244*b**2.
431*b**3
Collect the terms in 4*h + 6*h - 7*h - 2*h.
h
Collect the terms in 852 + 18*b - 424 - 428.
18*b
Collect the terms in 4*o**2 - o**2 - 5*o**3 + 12*o**3 + 29*o**3.
36*o**3 + 3*o**2
Collect the terms in -4*w**2 + 5*w**2 + 2 + 2*w**2 - 2*w**2.
w**2 + 2
Collect the terms in -14*y - 3*y - 10*y + 16*y.
-11*y
Collect the terms in 194*b**2 + 192*b**2 - 4 - 384*b**2 + 4.
2*b**2
Collect the terms in -152 - 14*j + 152.
-14*j
Collect the terms in 467*g + 469*g - 933*g.
3*g
Collect the terms in 4*x**3 - 74*x - 3*x**3 + x**3 + 229*x.
2*x**3 + 155*x
Collect the terms in 7*t**2 - 4*t**2 - 4*t**2.
-t**2
Collect the terms in -66*y**2 + 28*y**2 + 33*y**2.
-5*y**2
Collect the terms in 14 - 5 + 15*r - 5 - 3.
15*r + 1
Collect the terms in -70*n + 180*n - 113*n.
-3*n
Collect the terms in -210*s**2 - 171*s**2 + 57*s**2.
-324*s**2
Collect the terms in -6*t**2 - 7*t**2 + 11*t**2.
-2*t**2
Collect the terms in -44*i + 113*i + 165*i.
234*i
Collect the terms in 1789 - 3576 + 1787 + d.
d
Collect the terms in -m**3 + 50 - 50.
-m**3
Collect the terms in 5*v - 29147 + 29147.
5*v
Collect the terms
|
{
"pile_set_name": "DM Mathematics"
}
|
-127, -131, -137, -145, -155?
-n**2 + 3*n - 127
What is the o'th term of -40, -42, -36, -16, 24, 90, 188, 324?
o**3 - 2*o**2 - 3*o - 36
What is the w'th term of -5, -7, -9?
-2*w - 3
What is the x'th term of 58, 375, 1244, 2941, 5742, 9923?
46*x**3 - 5*x + 17
What is the j'th term of -55, -120, -185?
-65*j + 10
What is the u'th term of 12, 13, 14, 15, 16, 17?
u + 11
What is the v'th term of -7, -12, -13, -10, -3, 8?
2*v**2 - 11*v + 2
What is the o'th term of 145, 299, 445, 577, 689, 775?
-o**3 + 2*o**2 + 155*o - 11
What is the q'th term of -74, -88, -102, -116, -130?
-14*q - 60
What is the s'th term of -2015, -2027, -2053, -2099, -2171?
-s**3 - s**2 - 2*s - 2011
What is the n'th term of -170, -364, -568, -782, -1006, -1240, -1484?
-5*n**2 - 179*n + 14
What is the z'th term of -9626, -19249, -28872, -38495, -48118, -57741?
-9623*z - 3
What is the p'th term of -25, -19, -11, -1?
p**2 + 3*p - 29
What is the i'th term of -1015, -1006, -987, -952, -895?
i**3 - i**2 + 5*i - 1020
What is the m'th term of -35, -59, -83?
-24*m - 11
What is the p'th term of -93, -299, -613, -1011, -1469, -1963, -2469?
4*p**3 - 78*p**2 - 19
What is the c'th term of -62, -89, -70, 7, 154, 383?
2*c**3 + 11*c**2 - 74*c - 1
What is the j'th term of 153, 168, 179, 174, 141, 68, -57?
-2*j**3 + 10*j**2 - j + 146
What is the k'th term of 4099, 8199, 12299, 16399?
4100*k - 1
What is the y'th term of 168, 320, 486, 672, 884, 1128, 1410, 1736?
y**3 + y**2 + 142*y + 24
What is the b'th term of 3024, 3022, 3020, 3018, 3016?
-2*b + 3026
What is the i'th term of -221, -229, -237, -245?
-8*i - 213
What is the l'th term of 114, 242, 362, 468, 554, 614?
-l**3 + 2*l**2 + 129*l - 16
What is the k'th term of 20, 42, 64, 86, 108, 130?
22*k - 2
What is the c'th term of 148, 167, 198, 247, 320, 423, 562, 743?
c**3 + 12*c + 135
What is the u'th term of -1, 18, 37, 44, 27, -26, -127?
-2*u**3 + 12*u**2 - 3*u - 8
What is the a'th term of -6040, -6039, -6038, -6037?
a - 6041
What is the i'th term of -5, 20, 85, 208, 407, 700, 1105?
3*i**3 + 2*i**2 - 2*i - 8
What is the i'th term of -7, 18, 59, 116?
8*i**2 + i - 16
What is the u'th term of -180, -1438, -4846, -11478, -22408, -38710?
-179*u**3 - u**2 - 2*u + 2
What is the c'th term of -179, -360, -555, -770, -1011, -1284, -1595?
-c**3 - c**2 - 171*c - 6
What is the l'th term of 370, 743, 1116?
373*l - 3
What is the a'th term of -79, -112, -157, -220, -307, -424?
-a**3 - 26*a - 52
What is the n'th term of -48, -115, -182, -249, -316, -383?
-67*n + 19
What is the s'th term of -41, -108, -225, -416, -705, -1116?
-4*s**3 - s**2 - 36*s
What is the d'th term of -47, -46, -37, -14, 29?
d**3 - 2*d**2 - 46
What is the v'th term of -261, -1042, -2337, -4140, -6445, -9246, -12537?
v**3 - 263*v**2 + v
What is the m'th term of 41, 205, 469, 827, 1273?
-m**3 + 56*m**2 + 3*m - 17
What is the y'th term of 184, 948, 2230, 4036, 6372, 9244, 12658, 16620?
y**3 + 253*y**2 - 2*y - 68
What is the r'th term of -173, -84, 5, 94?
89*r - 262
What is the n'th term of 69, 111, 151, 189, 225?
-n**2 + 45*n + 25
What is the g'th term of -28, -97, -178, -277, -400?
-g**3 - 62*g + 35
What is the v'th term of -2646, -2674, -2700, -2724, -2746?
v**2 - 31*v - 2616
What is the n'th term of -67, -113, -133, -115, -47, 83, 287, 577?
2*n**3 + n**2 - 63*n - 7
What is the u'th term of 4, 25, 68, 139, 244, 389, 580?
u**3 + 5*u**2 - u - 1
What is the n'th term of 26, 51, 76?
25*n + 1
What is the n'th term of 6402, 6404, 6406?
2*n + 6400
What is the z'th term of -25, -32, -39, -46, -53?
-7*z - 18
What is the o'th term of 913, 920, 931, 946, 965, 988?
2*o**2 + o + 910
What is the l'th term of -6404, -12807, -19208, -25607, -32004?
l**2 - 6406*l + 1
What is the y'th term of 1550, 1539, 1520, 1493, 1458, 1415, 1364?
-4*y**2 + y + 1553
What is the u'th term of 48, 58, 66, 72?
-u**2 + 13*u + 36
What is the p'th term of -20, 4, 50, 124, 232, 380, 574, 820?
p**3 + 5*p**2 + 2*p - 28
What is the a'th term of -16, -8, 0, 8, 16, 24?
8*a - 24
What is the l'th term of -12, -27, -48, -75, -108?
-3*l**2 - 6*l - 3
What is the b'th term of -15, -41, -99, -201, -359, -585, -891, -1289?
-2*b**3 - 4*b**2 - 9
What is the g'th term of 323, 653, 987, 1325, 1667, 2013?
2*g**2 + 324*g - 3
What is the t'th term of 142, 182, 222, 262?
40*t + 102
What is the s'th term of -125, -130, -147, -182, -241?
-s**3 + 2*s - 126
What is the u'th term of 693, 695, 697, 699, 701, 703?
2*u + 691
What is the i'th term of 1459, 1454, 1447, 1438?
-i**2 - 2*i + 1462
What is the z'th term of -174, -184, -208, -252, -322, -424, -564, -748?
-z**3 - z**2 - 172
What is the h'th term of 20, 25, 34, 47?
2*h**2 - h + 19
What is the b'th term of 1572, 3150, 4728, 6306, 7884?
1578*b - 6
What is the y'th term of -15, -18, -11, 6?
5*y**2 - 18*y - 2
What is the b'th term of -10, 8, 36, 80, 146?
b**3 - b**2 + 14*b - 24
What is the k'th term of -1647, -1648, -1649, -1650, -1651?
-k - 1646
What is the s'th term of 26, 69, 130, 209?
9*s**2 + 16*s + 1
What is the p'th term of 70, 152, 248, 358, 482?
7*p**2 + 61*p + 2
What is the f'th term of 43, 46, 47, 46, 43, 38, 31?
-f**2 + 6*f + 38
What is the k'th term of 23, 66, 137, 236, 363?
14*k**2 + k + 8
What is the p'th term of 35, -68, -341, -868, -1733, -3020, -4813, -7196?
-14*p**3 - p**2 - 2*p + 52
What is the v'th term of 97, 198, 299, 400, 501, 602?
101*v - 4
What is the j'th term of 481, 960, 1439, 1918?
479*j + 2
What is the c'th term of 70, 73, 76?
3*c + 67
What is the r'th term of -21, -9, 3, 15, 27?
12*r - 33
What is the x'th term of 7, 13, 23, 37, 55, 77, 103?
2*x**2 + 5
What is the l'th term of -31, -120, -267, -472, -735, -1056, -1435?
-29*l**2 - 2*l
What is the i'th term of -9, 14, 51, 102, 167, 246, 339?
7*i**2 + 2*i - 18
What is the o'th term of -59, -108, -177, -272, -399, -564, -773?
-o**3 - 4*o**2 - 30*o - 24
What is the x'th term of 38, 60, 82?
22*x + 16
What is the h'th term of -703, -694, -673, -634, -571, -478, -349?
h**3 + 2*h - 706
What is the d'th term of -249, -498, -747, -996, -1245?
-249*d
What is the d'th term of -27, -39, -43, -39, -27?
4*d**2 - 24*d - 7
What is the c'th term of 2516, 2517, 2528, 2555, 2604, 2681?
c**3 - c**2 - 3*c + 2519
What is the a'th term of -4925, -4926, -4927, -4928, -4929?
-a - 4924
What is the b'th term of -2122, -2127, -2120, -2095, -2046, -1967, -1852?
b**3 - 12*b - 2111
What is the j'th term of 200, 199, 198?
-j + 201
What is the h'th term of 18, 101, 252, 471?
34*h**2 - 19*h + 3
What is the c'th term of -52, -192, -420, -730, -1116?
c**3 - 50*c**2 + 3*c - 6
What is the v'th term of 14, 34, 52, 68, 82?
-v**2 + 23*v - 8
What is the f'th term of -3773, -3774, -3775, -3776, -3777?
-f - 3772
What is the j'th term of -1015, -1014, -1013, -1012, -1011, -1010?
j - 1016
What is the q'th term of -93, -94, -95, -96, -97, -98?
-q - 92
What is the y'th term of -58, -64, -80, -112, -166, -248, -364, -520?
-y**3 + y**2 - 2*y - 56
What is the i'th term of 496, 497, 500, 505?
i**2 - 2*i + 497
What is the y'th term of 34, 59, 84, 109, 134, 159?
25*y + 9
What is the k'th term of -5415, -5417, -5419, -5421, -5423?
-2*k - 5413
What is the x'th term of -112, -444, -998, -1774?
-111*x**2 + x - 2
What is the m'th term of -105, -211, -317, -423, -529, -635?
-106*m + 1
What is the j'th term of -75, -59, -29, 21, 97, 205, 351?
j**3 + j**2 + 6*j - 83
What is the o'th term of -5, -20, -45, -86, -149, -240?
-o**3 + o**2 - 11*o + 6
What is the l'th term of -1400, -2804, -4208?
-1404*l + 4
What is the l'th term of 10281, 10283, 10287, 10293, 10301, 10311, 10323?
l**2 - l + 10281
What is the w'th term of 44, 72, 104, 140, 180?
2*w**2 + 22*w + 20
What is the u'th term of -10, -40, -84, -148, -238, -360?
-u**3 - u**2 - 20*u + 12
What is the r'th term of 22553, 45107, 67661, 90215?
22554*r - 1
What is the i'th term of 48, 43, 38?
-5*i + 53
What is the g'th term of 1495, 2997, 4499, 6001, 7503?
1502*g - 7
What is the z'th term of 6, -10, -44, -96, -166, -254, -360?
-9*z**2 + 11*z + 4
What is the n'th term of 11966, 23933, 35900, 47867, 59834, 71801?
11967*n - 1
What is the s'th term of -9, -11, -21, -45, -89?
-s**3 + 2*s**2 - s - 9
What is the a'th term of 28, 10, -8?
-18*a + 46
What is the p'th term of -60, -138, -230, -342, -480, -650, -858, -1110?
-p**3 - p**2 - 68*p + 10
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
-f(c) - 52*x(c). Give u(k(w)).
8424*w**4
Let y(s) = -1690*s**2 + 4. Let c(i) = -2*i. Give y(c(u)).
-6760*u**2 + 4
Let q(p) = -64*p + 1. Let o(v) = -2*v + 3013. Give o(q(u)).
128*u + 3011
Let d(h) = -3*h. Let o(f) = -480*f - 1414. Determine d(o(q)).
1440*q + 4242
Suppose 11*m = 9*m + 4. Let d(v) = 8 + v**2 - 2*v**m - 8. Let p(n) = 5*n**2. Calculate p(d(j)).
5*j**4
Let m(v) = -9*v - 4. Let a(o) = 4*o + 2. Let t(z) = 2*a(z) + m(z). Let y(l) be the second derivative of 10*l**4/3 - l. What is y(t(j))?
40*j**2
Let w be ((-2)/(-3))/(17/(1071/28)). Let c(u) be the first derivative of w*u**2 + 2 + 0*u. Let i(a) = 2*a**2. Calculate i(c(r)).
18*r**2
Let k(j) = -1037*j + 47 - 1040*j + 2075*j. Let z(f) = 4*f. Give k(z(p)).
-8*p + 47
Let i(t) = -3*t + 15. Let g(l) = -18*l**2 - 12*l - 4. Let y(k) = 21*k**2 + 15*k + 5. Let u(o) = 5*g(o) + 4*y(o). What is u(i(j))?
-54*j**2 + 540*j - 1350
Let i(o) = 3*o. Let y(n) = 582647*n. Determine i(y(q)).
1747941*q
Let y(x) = 44828*x**2. Let l(d) = d. Give l(y(v)).
44828*v**2
Let k(o) = -139*o - 1. Let f(h) = -254*h**2. Determine k(f(c)).
35306*c**2 - 1
Let h(c) = -957*c**2 - 64*c. Let l(f) = 6*f**2. What is h(l(z))?
-34452*z**4 - 384*z**2
Let o(k) = 2 - 12 + 10 + 25*k. Let r(f) = -2*f. Calculate o(r(n)).
-50*n
Let t(d) = 2*d. Let r(w) be the third derivative of -7*w**5/12 + 2*w**2 + 55*w. Give r(t(h)).
-140*h**2
Let b(l) = -25*l + 80*l - 55*l + 4*l**2. Let h(t) = t + 21. Calculate h(b(s)).
4*s**2 + 21
Let t(f) = -f - 870. Let o(z) = -2*z**2. Determine o(t(y)).
-2*y**2 - 3480*y - 1513800
Let g(m) = 3*m**2. Let u(f) = 47*f**2 - 5. Let v(n) = 330*n**2 - 36. Let p(b) = -36*u(b) + 5*v(b). What is g(p(r))?
5292*r**4
Let x(i) = -2*i**2. Let d(j) = -193965*j - 2345. Let o(q) = 331*q + 4. Let p(h) = 4*d(h) + 2345*o(h). Determine p(x(m)).
-670*m**2
Let o(c) = -189*c - 1. Let h(l) = 10*l + 1. Let z(n) = 29*n + 3. Let r(b) = 6*h(b) - 2*z(b). What is r(o(y))?
-378*y - 2
Let u(l) = 929595*l. Let s(v) = 2*v**2. Calculate s(u(g)).
1728293728050*g**2
Let m be (-2)/(-4)*0*(-10)/(-80). Let y(a) be the third derivative of 0*a + 0*a**3 + 0*a**4 + m + 1/60*a**5 - 5*a**2. Let i(f) = -2*f**2. Give y(i(g)).
4*g**4
Let u(r) be the third derivative of 0*r**3 + 0 + 1/12*r**4 - 2*r**2 + 0*r. Let c(i) be the third derivative of -i**5/30 + 12*i**2 + 2*i. Determine c(u(j)).
-8*j**2
Let d(j) = 3*j**2 - j**2 - j**2. Let c(g) be the second derivative of 35*g**4/12 - 38*g. Give c(d(r)).
35*r**4
Let t(r) = -86*r**2 + 2*r - 2. Let v(d) = -2*d. Calculate v(t(h)).
172*h**2 - 4*h + 4
Let b(a) = -869*a. Let r(v) = -12*v**2. What is b(r(o))?
10428*o**2
Let t(j) be the third derivative of 0*j + 0 - 7*j**2 - 1/60*j**5 + 0*j**3 + 0*j**4. Let p(c) = -26*c. Give p(t(g)).
26*g**2
Let g(u) = -13*u**2 - 119*u - 109*u + 228*u. Let s(o) = 8*o**2. Calculate s(g(k)).
1352*k**4
Let k(u) = u. Let a(m) = -195599*m**2. What is k(a(t))?
-195599*t**2
Let a(n) = -4*n. Let u(k) = 1394*k**2 - k. Determine u(a(f)).
22304*f**2 + 4*f
Let f(w) = -w. Let x(k) = -6*k + 2. Suppose -1 = -3*u - 4, 5*i - 2*u = -53. Let r(o) = 30*o - 11. Let m(l) = i*x(l) - 2*r(l). What is f(m(d))?
-6*d
Let n(c) = -12*c + 36. Let r(y) = 3*y - 8. Let x(i) = 2*n(i) + 9*r(i). Let k(b) be the third derivative of -b**5/60 - b**2. Calculate x(k(d)).
-3*d**2
Let y(v) = 5*v. Suppose -118 - 44 = -6*r. Let l(o) = 0*o + o + 27 - r. What is l(y(f))?
5*f
Let l(o) = -45*o**2. Let g(h) = 249*h. Determine l(g(z)).
-2790045*z**2
Let v(p) = -2120*p. Let l(d) = -239*d**2 + 3*d. Determine l(v(t)).
-1074161600*t**2 - 6360*t
Let y(z) = -37*z**2. Let f(w) be the third derivative of -w**4/6 - 225*w**2. Determine f(y(n)).
148*n**2
Let v(d) = -18*d. Let c(a) = 1899*a**2. Calculate v(c(z)).
-34182*z**2
Let s(k) = k**2. Let a(u) = 0*u + 5*u - 224*u**2 + 219*u**2. Calculate s(a(r)).
25*r**4 - 50*r**3 + 25*r**2
Let c(m) be the first derivative of 5*m**2 - 302. Let w(v) = -v**2 + 10. Calculate w(c(h)).
-100*h**2 + 10
Let h(k) be the third derivative of k**2 + 0*k**3 - 1/12*k**4 + 0*k + 0. Let b(d) be the third derivative of -d**5/60 + 96*d**2. Give b(h(s)).
-4*s**2
Let b(t) = 2*t**2. Let n(y) = y**2 + 2*y**2 + 42*y**2 - 19*y**2. Calculate b(n(i)).
1352*i**4
Let h = 153 + -151. Let i(x) = -3*x**h + 29*x**2 - 3*x**2. Let j(r) = r. Give i(j(o)).
23*o**2
Let a(k) = -24574*k**2. Let n(l) = 21*l. Give n(a(w)).
-516054*w**2
Let m(w) = 21*w**2. Let z(l) = 2*l + 3. Let f(g) = -2*g - 3. Let i(c) = 4*f(c) + 5*z(c). Let a(b) = -4*b - 7. Let k(o) = -3*a(o) - 7*i(o). Calculate m(k(u)).
84*u**2
Let z(o) = 3*o**2. Let x(c) = -c**2 - c + 1. Let a(h) = -4*h**2 + h - 1. Suppose -g + 4 = g. Suppose -g*w - 1 = -3. Let s(m) = w*x(m) + a(m). What is z(s(u))?
75*u**4
Let d(v) = -2*v**2. Let t(r) = r**2 + 1000*r + 58. What is t(d(s))?
4*s**4 - 2000*s**2 + 58
Let t(j) = 69 - 3*j - 66 + 4*j**2 - 5*j**2. Let o be -3*(5/3 - 1). Let p(s) = -s**2 - 2*s + 2. Let g(u) = o*t(u) + 3*p(u). Let c(f) = -4*f. What is g(c(i))?
-16*i**2
Let n(h) = 112*h + 4. Let u(o) = 19*o**2 - 4*o. Give u(n(m)).
238336*m**2 + 16576*m + 288
Let b(n) = -118*n**2 + 4045*n. Let w(x) = -x**2. Determine b(w(o)).
-118*o**4 - 4045*o**2
Let h(w) = 4*w. Suppose 2*r + 17 = -5*q, -r + 3*r - 13 = 5*q. Let o(u) = -1. Let j(x) = x + 5. Let b(s) = r*j(s) - 5*o(s). Give h(b(m)).
-4*m
Suppose 0 = -4*k, -3*b - 5*k - 8 = b. Let d(h) = 261*h - 27. Let x(q) = -20*q + 2. Let i(y) = b*d(y) - 27*x(y). Let a(n) = 2*n. What is i(a(s))?
36*s
Let h(x) = -4*x. Let t(y) be the second derivative of -y**5/30 + 17*y**3/6 + 4*y. Let g(c) be the second derivative of t(c). Give g(h(d)).
16*d
Let x(w) = 55 - 28 - 2*w - 25. Let l(a) = -8*a + 7. Let k(q) = -2*l(q) + 7*x(q). Let r(d) = -2*d + 3*d + 0*d. What is k(r(m))?
2*m
Let h(t) = 75546*t. Let a(k) = -k. Determine a(h(v)).
-75546*v
Let f(j) be the second derivative of j**6/120 + 5*j**3/6 + 4*j. Let i(z) be the second derivative of f(z). Let q(m) = -8*m. Give i(q(l)).
192*l**2
Let n(h) = -3*h. Let c(z) be the second derivative of 139*z**3/6 + z**2/2 - 35*z - 2. What is n(c(f))?
-417*f - 3
Let m(d) be the first derivative of -3 + 1/2*d**2 + 0*d. Let g(v) = 7*v. Let a(k) = 7*k. Let z(p) = -4*a(p) + 3*g(p). Calculate z(m(s)).
-7*s
Let i(o) be the third derivative of 109*o**5/15 - 739*o**2. Let y(w) = 2*w. Give i(y(m)).
1744*m**2
Let d(b) = -77*b. Let y(m) be the third derivative of m**4/12 - 3*m**2 - 6*m. What is d(y(o))?
-154*o
Let u(j) = j. Let m(p) = p**2 + 21 + 23 + 17 - 64. What is m(u(r))?
r**2 - 3
Let x(i) be the first derivative of -7*i**4/8 + 14*i**2 - 9. Let a(r) be the second derivative of x(r). Let z(p) = p. Give z(a(c)).
-21*c
Let y(a) = 2*a**2 - 15*a. Let t(v) be the first derivative of -4*v**3/3 + 184. What is t(y(f))?
-16*f**4 + 240*f**3 - 900*f**2
Let g(f) = 353201*f. Let k(r) = 10*r**2. Calculate g(k(d)).
3532010*d**2
Suppose -f = 4*f - 10. Let b(z) = 7*z**f - 17*z**2 + 9*z**2. Let g(l) = -3*l - 3*l**2 + 3*l. Calculate b(g(y)).
-9*y**4
Suppose -2*d = 5*r - 18, -d + 8 = d. Let j(h) = 6*h**2 - h**2 - 14*h**r. Let z(m) = 2*m**2. Calculate j(z(i)).
-36*i**4
Let n(i) = -i. Let g = -11 - -24. Let h(a) = -28*a + g*a + 14*a. Calculate h(n(k)).
k
Let b(z) = 5*z**2 + 10*z**2 + 5*z**2 - 7*z**2. Let n(y) = -17*y**2 + 7*y - 7. Let d(q) = -12*q**2 + 5*q - 5. Let h(i) = -7*d(i) + 5*n(i). Determine h(b(k)).
-169*k**4
Let n(v) = -39*v + 10*v + 19*v + 12*v. Let r(h) = 499*h**2. Determine n(r(c)).
998*c**2
Suppose -2*b + 2*d + 24 = 6*d, d = 0. Let a(p) = -284 + 284 - b*p. Let s(n) = -n**2. Calculate a(s(i)).
12*i**2
Let q(w) = 8*w**2. Let z(c) = 12*c - 13*c - 2*c - 10*c. What is z(q(o))?
-104*o**2
Let t(g) = 3*g**2. Let l(c) = -1288*c**2. Let x(n) = 68*n**2. Let i(m) = -4*l(m) - 77*x(m). Determine i(t(d)).
-756*d**4
Let j(z) be the third derivative of -z**4/3 + 2*z**2 + 5. Let q(o) = 13*o. Give q(j(h)).
-104*h
Suppose -g + 16 = -3*g. Let p(a) = -a**2 - 7*a + 12. Let u be p(g). Let v(h) = -u*h + 6*h + 2*h. Let t(w) = -2*w. Give v(t(f)).
-8*f
Let n(f) = -30*f**2. Let l(r) be the first derivative of -29*r**3/3 + 667. What is n(l(p))?
-25230*p**4
Let p(u) be the second derivative of 5*u**3 - 3*u - 121. Let l(n) = -3*n + 0*n + 2*n. What is l(p(f))?
-30*f
Let i(m) = 3*m. Let r(s) = -22*s**2 + 9*s - 20. Let f(a) = a**2 - a + 5. Let n(h) = 4*f(h) + r(h). Give i(n(l)).
-54*l**2 + 15*l
Let x(h
|
{
"pile_set_name": "DM Mathematics"
}
|
is -3*m(l) - 2*t(l)?
-3*l**2 + l + 626
Let d(i) = -65*i + 13. Let s(b) = -b. What is -d(c) + 5*s(c)?
60*c - 13
Let m(s) = s + 7. Let k(u) = -1. Let r(p) = -p - 6. Let v be r(-5). Let c(l) = -l**3 - 10*l**2 + 568*l - 327. Let j be c(19). Give j*k(z) + v*m(z).
-z - 3
Let w(r) = r**3 - r. Let z(j) = j**2 - 10*j + 7. Let s be z(10). Let g(v) = s - 9 - 1 + 4 + 3*v. Give g(c) + 3*w(c).
3*c**3 + 1
Let m(x) = 38*x**3 - 22*x**2 + x + 8. Let v(o) = 40*o**3 - 30*o**2 + 2*o + 9. Give -4*m(f) + 3*v(f).
-32*f**3 - 2*f**2 + 2*f - 5
Suppose 4*o = 6*o - 2*u - 8, 17 = 4*o - 5*u. Let l(w) = -4*w + 5. Let c = 533 - 528. Let j(s) = 2*s - 3. Determine c*j(q) + o*l(q).
-2*q
Let s(d) = 1651*d**3 + 3*d**2 + 4*d. Let c(f) = 3301*f**3 + 6*f**2 + 9*f. Calculate 4*c(v) - 9*s(v).
-1655*v**3 - 3*v**2
Let j(y) = 5*y + 2. Let v(u) = -1. Let g(n) = -j(n) - 3*v(n). Let h(o) = 12*o - 2. Let c(s) = -7*g(s) - 3*h(s). Let x(k) = 6*k + 7. Give -4*c(b) - x(b).
-2*b - 3
Suppose -5*c = -2*t - 4*c + 40, -5*t + 101 = -3*c. Let y(p) = 21 + t + 5*p + 23 - 61. Let n(g) = -9*g - 4. Calculate 3*n(v) + 5*y(v).
-2*v - 2
Let x(i) = 3*i**2 + i - 3. Let q(v) = 3*v + 13. Let w(s) = 17*s + 72. Let b(g) = -11*q(g) + 2*w(g). Determine b(c) - x(c).
-3*c**2 + 4
Suppose 17*u - 168 = -7*u. Suppose l = -d + 1, 2*l + 3*l + u = -d. Let z(a) = 3*a**3 - 2*a**2 + a. Let c(v) = 11*v**3 - 9*v**2 + 4*v. Calculate l*c(f) + 9*z(f).
5*f**3 + f
Let a(i) = 1. Let c = -284 + 269. Let z be (c/10)/((-3)/2). Let b(d) = -d - 1. What is z*b(k) + 4*a(k)?
-k + 3
Let f(y) = 770*y**3 - 4*y**2 - 4*y + 8. Let z(b) = 2309*b**3 - 10*b**2 - 11*b + 22. Give -11*f(v) + 4*z(v).
766*v**3 + 4*v**2
Let k(m) = -4*m**2 + 3*m + 5. Let o(g) = g**2 - g - 2. What is -12*k(r) - 38*o(r)?
10*r**2 + 2*r + 16
Let u(a) = -483*a + 62. Let m(s) = -966*s + 159. Calculate -2*m(v) + 5*u(v).
-483*v - 8
Let x(c) = 153*c + 28. Let i(r) = -98*r - 1. Calculate -2*i(y) - x(y).
43*y - 26
Let a(d) = -4*d - 9. Let l(p) = 56*p - 79. Let z(q) = 19*q - 16. Let f(x) = 2*l(x) - 7*z(x). Calculate -11*a(t) + 2*f(t).
2*t + 7
Let t(v) = -29*v - 6. Let q(s) = s + 21. Let p(r) = -63*r - 742. Let n(h) = p(h) + 35*q(h). Determine 4*n(f) - 5*t(f).
33*f + 2
Let o(k) = 5150*k - 232. Let r(y) = 736*y - 34. Give 5*o(w) - 34*r(w).
726*w - 4
Suppose -4*i = -7*i - 3. Let a be (i/(-2))/((-11)/(-66)). Let q(x) = -3*x. Let n(p) be the first derivative of -p**3/3 - p**2/2 + 40. What is a*n(l) - q(l)?
-3*l**2
Let d(u) = -355*u**2 - 3*u + 16. Let f(o) = 711*o**2 + 5*o - 27. Determine -5*d(l) - 3*f(l).
-358*l**2 + 1
Let g(m) = -136*m - 14. Let a(o) = 11*o + 2. Give -30*a(p) - 3*g(p).
78*p - 18
Let k(f) = f + 1. Let x = 89 - 83. Let t(z) = -31*z + 4. Calculate x*k(u) - t(u).
37*u + 2
Let h(l) = 180*l + 69. Let w(k) = 90*k + 37. Calculate 6*h(q) - 11*w(q).
90*q + 7
Let j(u) = -2*u**3 + 7*u**2 + 7*u - 7. Let c(a) = 1943*a**2 + 54 - 1944*a**2 + a**3 - a - 53. Calculate -21*c(q) - 3*j(q).
-15*q**3
Let u(d) = -1. Let j(k) = -7*k - 37. Let i(f) = -21*f - 112. Let x(y) = -2*i(y) + 7*j(y). What is -105*u(w) + 3*x(w)?
-21*w
Let t be -1 - 1/(2/(-10)). Let s(w) = -w - 5 - w - t*w + 5*w. Let i(y) = y + 5. Determine -3*i(o) - 4*s(o).
o + 5
Let j(u) = -116960*u**2 + 64*u - 192. Let y(r) = 17994*r**2 - 10*r + 30. What is 5*j(a) + 32*y(a)?
-8992*a**2
Suppose -s - 50 = -3*q - 6*s, s + 22 = 29. Suppose 9 = 5*k - 2*k. Let p be (1 + 1)/(2 - k). Let i(r) = r - 2. Let d(b) = 3*b - 4. Determine p*d(x) + q*i(x).
-x - 2
Let h(r) = -151685*r**2 - 520*r - 40. Let g(m) = 11668*m**2 + 39*m + 3. Give 40*g(t) + 3*h(t).
11665*t**2
Let f(b) = 1843*b - 8. Let u(a) = -2457*a + 11. What is 11*f(n) + 8*u(n)?
617*n
Let x(o) = -144*o**2 + 28. Let m(j) = -21*j**2 + 2. Give -14*m(w) + 2*x(w).
6*w**2 + 28
Let i(c) = -3*c**3. Suppose 3*t = k - 0*t - 12, -5*k = t - 12. Suppose -4 = k*n + 5*u + 11, 2*n + u = -10. Let m(d) = -3*d**3. Determine n*m(g) + 6*i(g).
-3*g**3
Let m be (-54)/(-12) + (-1)/2. Let y(d) = 22*d + 78. Let g(h) = 7*h + 28. Let o(z) = 11*g(z) - 4*y(z). Let w(n) = -11*n - 3. Determine m*w(x) - 3*o(x).
-11*x
Let h(i) = i**3 + 2*i + 2. Let a(w) = -31 + 49 - 6 - 11. What is -2*a(s) + h(s)?
s**3 + 2*s
Let m = 15082 - 15087. Let f(n) = -56*n + 3. Let t(k) = -28*k + 2. Determine m*t(h) + 3*f(h).
-28*h - 1
Let h(p) = -186626*p**3 - 4488*p**2 - 1496*p - 1496. Let j(q) = 374*q**3 + 9*q**2 + 3*q + 3. Determine 3*h(n) + 1496*j(n).
-374*n**3
Let a(u) = -8*u**3 + 2*u**2 - 9*u - 122. Let q(o) = 2*o**3 - o**2 + 5. What is -a(l) - 3*q(l)?
2*l**3 + l**2 + 9*l + 107
Suppose -3*p = -4*t + t + 21, -5*p - 41 = -8*t. Let i(m) = -4*m**2 - m + 5. Let q(f) = f**2 - 2. Determine t*i(w) + 7*q(w).
-w**2 - 2*w - 4
Let l(t) = -126*t**2 + 432*t + 720. Let b(m) = m**2 - 3*m - 5. Calculate -432*b(n) - 3*l(n).
-54*n**2
Let i(a) = -6*a**2 + 5*a + 5. Let o = -16 - -25. Let w be -3 - 6/o*3. Let r = 71 - 70. Let j(p) = -p**2 + p + 1. Determine r*i(h) + w*j(h).
-h**2
Let l(o) = -30*o - 3927. Let b(z) = 26*z + 3927. What is -7*b(k) - 6*l(k)?
-2*k - 3927
Suppose -4*a + 2*a + 8 = -3*j, -6*a + 3*j = 0. Let u(y) = -9*y**2 + 3*y + 1. Let p(i) = -i**2. What is a*p(t) + u(t)?
-7*t**2 + 3*t + 1
Let d(r) = 6*r**2 - 18*r - 2. Let j(b) = 41*b**2 + 8*b + 22. Let t(i) = -15*i**2 - 3*i - 8. Let f(p) = 4*j(p) + 11*t(p). Calculate -d(o) - 5*f(o).
-o**2 + 23*o + 2
Let b(c) = 4*c**2 - 42*c + 12. Let l(n) = 5*n**2 - 57*n + 13. What is 4*b(a) - 3*l(a)?
a**2 + 3*a + 9
Let a(k) = 3*k + 383. Let o(u) = -u + 155. What is a(b) - 2*o(b)?
5*b + 73
Let d(a) = -6*a**2 - 8*a + 47. Let f(u) = -2*u**2 - 3*u + 16. Let g be 8/(-1) - (-1 + 4 - 8). What is g*d(l) + 8*f(l)?
2*l**2 - 13
Let b(d) = 12*d**3 + 7*d**2 + 310*d + 37. Let n(r) = 7*r**3 + 4*r**2 + 156*r + 21. Give 4*b(l) - 7*n(l).
-l**3 + 148*l + 1
Let k(n) = 13*n**3 - 7*n**2 + 7*n - 6. Let y(t) = 7*t**3 - 3*t**2 + 3*t - 3. Let f be (-15)/9*42/10. What is f*y(c) + 3*k(c)?
-10*c**3 + 3
Let j(g) = -511*g**3 - 2*g**2 + 20*g - 10. Let a(z) = 765*z**3 + 3*z**2 - 29*z + 14. Determine 5*a(q) + 7*j(q).
248*q**3 + q**2 - 5*q
Let f(y) = 3*y**3 - y**2 - y + 1. Let k(p) = -456*p**3 + 2*p**2 + 2*p - 1. What is -2*f(i) - k(i)?
450*i**3 - 1
Let c(d) = 3*d**3 - 4*d**2 + 779*d + 13. Let x(p) = -p**3 + 2*p**2 + p - 5. Give -c(o) - 2*x(o).
-o**3 - 781*o - 3
Let k(u) = 5*u - 1. Let w(q) = -2*q. Let s(b) = -k(b) - 2*w(b). Suppose 8*c - 6 = 2*c. Let j(n) = -n + 4. Determine c*j(h) - 4*s(h).
3*h
Let l(o) = 1469*o - 2. Let s(t) = -7357*t + 10. Give -11*l(a) - 2*s(a).
-1445*a + 2
Let v(i) = 23*i + 15. Let c(u) = 11*u + 7. Let f(a) = -5*c(a) + 2*v(a). Let n(m) be the second derivative of -5*m**3/6 - m**2 + 847*m. Give 2*f(p) - 5*n(p).
7*p
Let u(d) = -2791*d - 4. Let q(b) = -5579*b - 7. What is -6*q(i) + 11*u(i)?
2773*i - 2
Suppose 51 = -15*d - 2*d. Let j(l) = -4*l + 6. Let s(k) = 5 - 3*k + 5*k - 5*k. Give d*s(o) + 2*j(o).
o - 3
Suppose 11*m + 35 = 4*m + 14*m. Let s(z) = -129*z**3 - 5*z - 5. Let n(b) = 1612*b**3 + 62*b + 62. Determine m*n(w) + 62*s(w).
62*w**3
Let i(x) = -x**3 - 3*x**2 - x - 1. Let d(s) = 2*s**2 + s + 1. Suppose 0 = 56*v + 23*v + 237. Determine v*d(k) - 2*i(k).
2*k**3 - k - 1
Let s(l) = -157*l - 136. Let q(r) = -173*r - 139. Give -12*q(y) + 13*s(y).
35*y - 100
Let n(q) = -163*q - 2. Let o(s) = 196*s + 1. Let i(y) = -6*n(y) - 5*o(y). Let t(u) = -2*u + 6. Give -4*i(d) + 5*t(d).
-2*d + 2
Let d(s) = -2*s**3 + 7*s**2 - 2. Let g(z) = 6*z**2 - 13*z + 31. Let q be g(3). Suppose 0 = 9*k + q + 8. Let l(w) = -2*w**3 + 6*w**2 - 2. Give k*d(t) + 7*l(t).
-2*t**3 - 2
Let u(g) = -72*g + 40. Let p(i) = -82*i + 39. Calculate 5*p(y) - 6*u(y).
22*y - 45
Let z = -146 - -151. Suppose -3*m - 7 = f, -z*m - 22*f + 18*f = 0. Let c(d) = -5*d - 5. Let l(a) = -a**2 + 6*a + 6. Determine m*c(o) - 3*l(o).
3*o**2 + 2*o + 2
Let h(g) = g**2 + 6*g + 1. Let s(j) = 8*j**2 - 1027*j + 8. What is -10*h(t) + s(t)?
-2*t**2 - 1087*t - 2
Let q(g) = -9*g**2 - 9*g + 2. Let x(j) = -32*j**2 - 32*j + 22. Let b(z) = -11*z**2 - 11*z + 8. Let d(l) = -8*b(l) + 3*x(l). Determine -6*d(t) + 5*q(t).
3*t**2 + 3*t - 2
Let c(y) = -1. Let f(n) = -n**3 + 6*n**2 - 5*n - 2. Let h be f(4). Let q(j) = -238 - h*j + 240 - j. Calculate 2*c(d) + q(d).
-11*d
Let o(x) = 10*x - 6. Let p(c) = 20*c - 15. Determine -5*o(a) + 3*p(a).
10*a - 15
Let i(c) = 3*c + c + 2*c - 4*c**2. Let u(f) = -f**2 + f. Let x(o) = 2*o**2 - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
prob of picking 3 k when three letters picked without replacement from {p: 1, b: 1, k: 3}?
1/10
Three letters picked without replacement from aannn. Give prob of picking 2 a and 1 n.
3/10
What is prob of picking 1 f and 2 c when three letters picked without replacement from {c: 2, e: 3, f: 4, g: 2}?
4/165
Four letters picked without replacement from llksklkrrszslrxkkl. Give prob of picking 1 k, 1 z, and 2 l.
5/306
Three letters picked without replacement from gnqmn. What is prob of picking 2 q and 1 n?
0
Two letters picked without replacement from {q: 7, o: 3, z: 1, x: 3}. What is prob of picking 1 q and 1 z?
1/13
Calculate prob of picking 3 g and 1 e when four letters picked without replacement from {g: 6, e: 4, a: 6, n: 3}.
20/969
Three letters picked without replacement from gdjjggffjjjjjjdgf. Give prob of picking 1 f and 2 g.
9/340
What is prob of picking 1 r and 1 o when two letters picked without replacement from rrrrorrr?
1/4
Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {b: 2, t: 5, q: 3, h: 6, z: 1, u: 3}.
3/38
Calculate prob of picking 4 t when four letters picked without replacement from {i: 4, r: 3, t: 6}.
3/143
Four letters picked without replacement from nrivirnvnmvvninnnrv. What is prob of picking 1 v, 1 m, and 2 r?
5/1292
Two letters picked without replacement from wegfwebddegw. Give prob of picking 1 g and 1 e.
1/11
Calculate prob of picking 1 q and 2 z when three letters picked without replacement from zqqgggqzmqzzggzgggm.
40/969
Two letters picked without replacement from rzprrtrkzrrrvpr. What is prob of picking 1 v and 1 r?
8/105
What is prob of picking 1 r and 1 j when two letters picked without replacement from {w: 1, v: 2, r: 2, j: 1}?
2/15
Three letters picked without replacement from rzrzooizzzzz. Give prob of picking 2 o and 1 z.
7/220
Four letters picked without replacement from {p: 1, w: 4, z: 5, u: 1, f: 4}. What is prob of picking 1 u and 3 f?
4/1365
Calculate prob of picking 1 k and 1 b when two letters picked without replacement from kbffffffffkffffff.
1/68
Calculate prob of picking 1 z and 1 a when two letters picked without replacement from aaaazazz.
15/28
Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, p: 2}.
1/6
What is prob of picking 2 r and 2 x when four letters picked without replacement from rxxxrxxxxx?
2/15
Two letters picked without replacement from {h: 1, r: 1, n: 1, k: 2, g: 12}. Give prob of picking 1 h and 1 k.
1/68
Four letters picked without replacement from {q: 2, n: 5}. Give prob of picking 2 q and 2 n.
2/7
What is prob of picking 2 e and 2 p when four letters picked without replacement from {p: 3, e: 7}?
3/10
Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {y: 2, h: 2, d: 1, m: 1, i: 4, w: 2}.
2/33
Calculate prob of picking 2 u when two letters picked without replacement from buuuuuuubuuuub.
55/91
Four letters picked without replacement from {v: 3, l: 7, y: 9}. What is prob of picking 3 l and 1 y?
105/1292
Two letters picked without replacement from {j: 3, i: 1, x: 1, s: 4, h: 2}. What is prob of picking 1 s and 1 x?
4/55
Calculate prob of picking 4 v when four letters picked without replacement from vvvvvvvvv.
1
What is prob of picking 3 c when three letters picked without replacement from cciccccccccccccccc?
5/6
Two letters picked without replacement from ccnncccnnnnccncc. Give prob of picking 1 c and 1 n.
21/40
Two letters picked without replacement from jujmt. Give prob of picking 2 j.
1/10
What is prob of picking 1 n and 1 t when two letters picked without replacement from inytyninsip?
3/55
What is prob of picking 1 p, 1 q, and 1 z when three letters picked without replacement from {q: 2, z: 1, p: 2, r: 4, j: 1}?
1/30
What is prob of picking 1 z, 1 u, 1 o, and 1 v when four letters picked without replacement from hvohvhuvuhvzhvf?
2/273
Three letters picked without replacement from rdf. What is prob of picking 3 f?
0
Calculate prob of picking 1 w and 2 q when three letters picked without replacement from {q: 2, w: 2, u: 7}.
2/165
Four letters picked without replacement from momeypolompoeyl. Give prob of picking 1 p, 2 l, and 1 o.
8/1365
What is prob of picking 1 d and 1 m when two letters picked without replacement from hmd?
1/3
Three letters picked without replacement from {k: 1, n: 3, o: 11, b: 3, c: 1}. Give prob of picking 1 k, 1 c, and 1 n.
1/323
Three letters picked without replacement from {g: 3, y: 1}. Give prob of picking 3 g.
1/4
Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {u: 2, q: 4}.
8/15
Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {d: 8, y: 2}.
16/45
Four letters picked without replacement from {h: 13, o: 3}. Give prob of picking 1 h and 3 o.
1/140
Two letters picked without replacement from {f: 3, u: 2, g: 7}. Give prob of picking 2 f.
1/22
What is prob of picking 2 y when two letters picked without replacement from yuyyeueyeey?
2/11
What is prob of picking 1 e and 1 b when two letters picked without replacement from {b: 8, e: 3}?
24/55
What is prob of picking 2 w when two letters picked without replacement from wowwoowwowoo?
5/22
Four letters picked without replacement from jjyyyjysysjyzzjys. What is prob of picking 1 y, 1 z, and 2 j?
1/17
Three letters picked without replacement from uuuu. What is prob of picking 3 u?
1
Four letters picked without replacement from rrhhh. What is prob of picking 2 r and 2 h?
3/5
Calculate prob of picking 2 b and 2 z when four letters picked without replacement from zzbbbzb.
18/35
Two letters picked without replacement from {m: 4, j: 2, k: 7}. Give prob of picking 2 m.
1/13
Four letters picked without replacement from {s: 9, k: 2}. What is prob of picking 2 s and 2 k?
6/55
Calculate prob of picking 2 y when two letters picked without replacement from {e: 3, y: 12}.
22/35
Calculate prob of picking 1 n, 1 o, 1 j, and 1 y when four letters picked without replacement from {j: 1, y: 4, n: 2, o: 1, k: 1}.
4/63
What is prob of picking 2 t when two letters picked without replacement from ttpptpptztoot?
5/26
Four letters picked without replacement from {h: 3, u: 1, w: 3, j: 7, y: 4}. Give prob of picking 1 y, 1 u, and 2 h.
1/255
Two letters picked without replacement from {s: 3, d: 3, t: 1, c: 5, n: 2, f: 1}. What is prob of picking 1 c and 1 s?
1/7
Calculate prob of picking 1 u, 1 y, and 1 b when three letters picked without replacement from ydbnuulb.
1/14
Calculate prob of picking 2 c and 1 y when three letters picked without replacement from {y: 2, c: 6}.
15/28
Calculate prob of picking 1 z and 1 m when two letters picked without replacement from {o: 1, z: 1, i: 1, x: 1, m: 1}.
1/10
Calculate prob of picking 3 s when three letters picked without replacement from sssss.
1
Three letters picked without replacement from xcncxxcxnxccqccqzq. Give prob of picking 2 x and 1 n.
5/204
What is prob of picking 2 d and 2 h when four letters picked without replacement from {a: 3, h: 4, d: 4}?
6/55
What is prob of picking 1 x and 2 k when three letters picked without replacement from {k: 4, x: 3}?
18/35
What is prob of picking 1 g and 2 d when three letters picked without replacement from dygyd?
1/10
Calculate prob of picking 3 d when three letters picked without replacement from dddddddddd.
1
What is prob of picking 1 y and 3 v when four letters picked without replacement from {v: 3, y: 3}?
1/5
Calculate prob of picking 1 j, 1 n, 1 s, and 1 g when four letters picked without replacement from {s: 1, j: 2, n: 1, g: 2}.
4/15
Three letters picked without replacement from sldlwllwmlsmslbmll. What is prob of picking 1 d, 1 b, and 1 w?
1/408
Calculate prob of picking 1 z, 1 g, and 1 x when three letters picked without replacement from xxzxgyxxy.
5/84
Four letters picked without replacement from {z: 5, t: 3}. Give prob of picking 4 z.
1/14
What is prob of picking 1 s, 1 a, and 1 e when three letters picked without replacement from {a: 4, w: 2, e: 7, t: 4, s: 1}?
7/204
Calculate prob of picking 2 v and 1 u when three letters picked without replacement from {u: 4, t: 2, n: 2, v: 4}.
6/55
Calculate prob of picking 1 s, 1 i, and 2 v when four letters picked without
|
{
"pile_set_name": "DM Mathematics"
}
|
Round -2571.3799 to the nearest integer.
-2571
Round -0.2738365 to 4 dps.
-0.2738
Round -5.041793 to two dps.
-5.04
Round -0.014899055 to 2 decimal places.
-0.01
Round -0.09574457 to four decimal places.
-0.0957
What is 23.12615 rounded to one dp?
23.1
Round -6683798000 to the nearest one million.
-6684000000
What is -0.13484824 rounded to two dps?
-0.13
What is 145172.81 rounded to the nearest 1000?
145000
Round 0.4342125 to 4 dps.
0.4342
What is 0.1921995 rounded to 3 decimal places?
0.192
Round -0.00000612552 to 6 dps.
-0.000006
Round 15998520 to the nearest 100000.
16000000
Round 0.0001628313 to six dps.
0.000163
What is 1.92442 rounded to one dp?
1.9
Round -0.0001117577 to seven dps.
-0.0001118
Round -19.213486 to 2 dps.
-19.21
What is -0.00676352 rounded to four decimal places?
-0.0068
What is 0.0000043369044 rounded to seven decimal places?
0.0000043
What is -0.0234962 rounded to three dps?
-0.023
What is 197829.4 rounded to the nearest 100?
197800
What is -7.86604 rounded to 1 dp?
-7.9
What is 2722.78 rounded to the nearest 100?
2700
What is 0.0417419 rounded to three dps?
0.042
What is -11740.8537 rounded to the nearest 10?
-11740
Round 26219.88 to the nearest 10000.
30000
Round 0.0007906812 to five decimal places.
0.00079
What is 164030500 rounded to the nearest 1000000?
164000000
What is -355659210 rounded to the nearest 100000?
-355700000
Round -871.011 to the nearest ten.
-870
Round -0.0004359142 to six dps.
-0.000436
Round 41666.36 to the nearest 100.
41700
Round 0.0000591903 to 7 dps.
0.0000592
What is 822066800 rounded to the nearest one million?
822000000
What is -124.515 rounded to the nearest one hundred?
-100
What is -129268.3 rounded to the nearest 10000?
-130000
What is -0.0000588022 rounded to 5 dps?
-0.00006
What is 3280755 rounded to the nearest 1000000?
3000000
What is 36.4546 rounded to the nearest ten?
40
What is -502.43 rounded to the nearest 100?
-500
Round -84485 to the nearest 100.
-84500
What is -8.25097 rounded to two dps?
-8.25
Round -1.4524409 to 1 decimal place.
-1.5
Round 65645160 to the nearest one hundred thousand.
65600000
What is -0.0001285337 rounded to seven dps?
-0.0001285
What is -0.0000000065303 rounded to seven dps?
0
Round 251.28779 to the nearest integer.
251
What is -63325.7 rounded to the nearest 100?
-63300
What is -845.1896 rounded to 1 decimal place?
-845.2
Round -26066.89 to the nearest 10.
-26070
Round 27525.9 to the nearest one hundred.
27500
What is 7045723 rounded to the nearest 100000?
7000000
What is 0.005861876 rounded to 4 dps?
0.0059
Round -19539160000 to the nearest one million.
-19539000000
What is -0.0297349 rounded to 4 decimal places?
-0.0297
What is 0.0000518242 rounded to seven dps?
0.0000518
What is 0.00001078872 rounded to 6 decimal places?
0.000011
Round -33.35549 to the nearest integer.
-33
What is -61.572 rounded to the nearest integer?
-62
Round 1.4887 to the nearest integer.
1
What is -0.0980379 rounded to two dps?
-0.1
What is -0.03007275 rounded to 4 decimal places?
-0.0301
What is 0.024380118 rounded to 4 dps?
0.0244
Round 1.181796 to 3 dps.
1.182
What is 29859.69 rounded to the nearest 1000?
30000
What is 0.00000273217 rounded to seven dps?
0.0000027
What is -0.000005847124 rounded to 7 dps?
-0.0000058
What is 11115.881 rounded to the nearest one hundred?
11100
Round 671690000 to the nearest 1000000.
672000000
Round -25533530 to the nearest 100000.
-25500000
Round 2744602000 to the nearest one million.
2745000000
Round -48578.8 to the nearest 100.
-48600
Round 18364.2 to the nearest 100.
18400
Round 0.0588228 to five dps.
0.05882
What is 30.3129 rounded to zero decimal places?
30
What is 264972.1 rounded to the nearest 10000?
260000
Round -0.0001322371 to six decimal places.
-0.000132
What is -0.000003417568 rounded to six decimal places?
-0.000003
Round 1674840 to the nearest one hundred thousand.
1700000
What is 48931.27 rounded to the nearest 1000?
49000
Round 17558556 to the nearest 10000.
17560000
What is -184.498 rounded to 1 decimal place?
-184.5
Round -0.004579 to 3 decimal places.
-0.005
What is -16970.119 rounded to the nearest ten?
-16970
Round -35.7074 to 1 decimal place.
-35.7
What is -0.00205438 rounded to five decimal places?
-0.00205
Round -36.263194 to 2 decimal places.
-36.26
Round -21753.7 to the nearest 1000.
-22000
What is 0.082658 rounded to two dps?
0.08
What is 0.005411301 rounded to four dps?
0.0054
What is 133.6361 rounded to the nearest ten?
130
What is -0.0016157945 rounded to 5 decimal places?
-0.00162
Round -0.0000055517441 to 7 dps.
-0.0000056
What is -18644.5 rounded to the nearest one thousand?
-19000
Round -0.00000237197 to 7 decimal places.
-0.0000024
What is 1957.46 rounded to the nearest 100?
2000
Round 752.99 to the nearest ten.
750
What is -1584.954 rounded to the nearest ten?
-1580
Round -0.0000641366 to five decimal places.
-0.00006
What is -11683.78 rounded to the nearest 1000?
-12000
Round 0.00000402098 to six dps.
0.000004
What is -0.00000059766789 rounded to seven decimal places?
-0.0000006
Round -757796.3 to the nearest one thousand.
-758000
What is -0.0000027189 rounded to six decimal places?
-0.000003
What is 235726.5 rounded to the nearest ten thousand?
240000
What is 29312585 rounded to the nearest 10000?
29310000
What is -8.9492422 rounded to one dp?
-8.9
What is -0.00000863228 rounded to seven dps?
-0.0000086
Round 2.8830425 to 3 dps.
2.883
What is 4403.1 rounded to the nearest one hundred?
4400
What is 0.05507605 rounded to 3 decimal places?
0.055
Round -813874000 to the nearest 1000000.
-814000000
Round -0.0254648 to 3 dps.
-0.025
What is 0.0004030767 rounded to 4 decimal places?
0.0004
Round -238.94314 to the nearest 100.
-200
What is -81.37597 rounded to one dp?
-81.4
Round -0.0002251682 to five decimal places.
-0.00023
What is 719160000 rounded to the nearest one million?
719000000
What is -26946.296 rounded to the nearest 100?
-26900
Round 3.10031 to the nearest integer.
3
Round 755.669 to 0 decimal places.
756
What is -340636 rounded to the nearest ten thousand?
-340000
What is -119178.8 rounded to the nearest one hundred?
-119200
What is 0.01679805 rounded to three dps?
0.017
What is -0.0000001877089 rounded to 7 decimal places?
-0.0000002
What is 0.00004356642 rounded to 5 dps?
0.00004
What is 24611.7 rounded to the nearest 100?
24600
What is -5810.61 rounded to the nearest one thousand?
-6000
Round -2201.48 to the nearest one hundred.
-2200
Round 1.892751 to three dps.
1.893
What is -43752.4 rounded to the nearest 100?
-43800
What is -0.00089575 rounded to 5 decimal places?
-0.0009
What is -4267490 rounded to the nearest one hundred thousand?
-4300000
Round -711909000 to the nearest 1000000.
-712000000
What is -22.14307 rounded to the nearest integer?
-22
Round -0.00025607 to 4 decimal places.
-0.0003
Round 0.000000224848 to 7 decimal places.
0.0000002
What is 2.221027 rounded to 0 dps?
2
What is -0.2935509 rounded to 4 dps?
-0.2936
Round -17670165000 to the nearest one million.
-17670000000
Round -49846 to the nearest one thousand.
-50000
What is -112295.5 rounded to the nearest one thousand?
-112000
Round 6.865882 to 0 dps.
7
What is 0.0000006533013 rounded to seven dps?
0.0000007
Round 0.00004301155 to 7 decimal places.
0.000043
Round -0.1619971 to 4 dps.
-0.162
What is -0.115743 rounded to 3 dps?
-0.116
Round 0.00001609857 to seven dps.
0.0000161
Round 0.00000731427 to 6 dps.
0.000007
Round 0.00000041338 to seven dps.
0.0000004
What is 0.00939059 rounded to 3 dps?
0.009
What is 122812600 rounded to the nearest one million?
123000000
What is -4209237 rounded to the nearest 1000000?
-4000000
Round 0.2139715 to 3 decimal places.
0.214
What is 284354 rounded to the nearest one thousand?
284000
Round 0.00990985 to 4 decimal places.
0.0099
What is 13.414 rounded to 1 decimal place?
13.4
Round 399.368 to the nearest ten.
400
Round -0.0002326948 to six dps.
-0.000233
Round -0.00090775 to 5 dps.
-0.00091
Round 0.0011968506 to five dps.
0.0012
What is -80780.82 rounded to the nearest one thousand?
-81000
Round -1271.497 to the nearest ten.
-1270
What is -22.464271 rounded to zero decimal places?
-22
Round -3596.867 to the nearest integer.
-3597
What is 0.0202458 rounded to 2 decimal places?
0.02
What
|
{
"pile_set_name": "DM Mathematics"
}
|
1060322, -1060330, -1060350, -1060388, -1060450, -1060542, -1060670, -1060840?
-1061058
What comes next: -482, -514, -586, -710, -898?
-1162
What is the next term in -66, -589, -2012, -4785, -9358?
-16181
What is the next term in 306, 343, 378, 411, 442?
471
What is the next term in -483, -391, -223, 33, 389, 857?
1449
What is the next term in 6105, 6091, 6087, 6099, 6133?
6195
What is next in -5282, -10652, -16012, -21356, -26678, -31972, -37232?
-42452
What is the next term in 2241, 2287, 2357, 2457, 2593, 2771, 2997?
3277
What is next in 5531, 20324, 44985, 79520, 123935, 178236, 242429, 316520?
400515
What comes next: -12, 32, 120, 270, 500, 828?
1272
What is the next term in -75379, -150813, -226247?
-301681
What comes next: -215, -878, -1987, -3542, -5543?
-7990
What is next in 1489, 2943, 4393, 5839?
7281
What is next in 11076, 11159, 11242, 11325, 11408, 11491?
11574
What comes next: 1035, 2111, 3189, 4275, 5375, 6495, 7641, 8819?
10035
What is next in 2665, 5438, 8229, 11038, 13865, 16710, 19573?
22454
What is the next term in -101, -164, -199, -194, -137, -16?
181
What comes next: -426, -360, -254, -108, 78?
304
What comes next: -240, -249, -290, -381, -540, -785, -1134, -1605?
-2216
What comes next: -95, -195, -361, -593, -891, -1255?
-1685
What comes next: -82, -296, -624, -1042, -1526, -2052, -2596, -3134?
-3642
What is the next term in 553, 1164, 1753, 2308, 2817, 3268, 3649?
3948
What is next in -299, -1262, -2891, -5186, -8147?
-11774
What is the next term in -28103, -28105, -28107, -28109, -28111?
-28113
What is the next term in -381637, -381636, -381633, -381628, -381621, -381612?
-381601
What is next in 34, 284, 748, 1426?
2318
What is next in 264, 419, 574?
729
What comes next: 581, 1136, 1691, 2246?
2801
What comes next: 5952, 11862, 17772, 23682, 29592, 35502?
41412
What is next in 1290, 1342, 1422, 1524, 1642, 1770, 1902?
2032
What comes next: 26495, 52988, 79481, 105974?
132467
What is next in 1177, 2231, 3287, 4345, 5405, 6467, 7531?
8597
What comes next: -121377, -121368, -121347, -121308, -121245?
-121152
What is the next term in 7100495, 7100494, 7100493, 7100492?
7100491
What is the next term in -110, -176, -206, -206, -182, -140, -86?
-26
What comes next: -122, -5, 112, 229, 346, 463?
580
What comes next: -7, -135, -351, -655, -1047, -1527, -2095?
-2751
What is next in 4556, 4549, 4538, 4523?
4504
What is the next term in 415, 676, 941, 1210, 1483, 1760?
2041
What is the next term in 23064, 22676, 22022, 21096, 19892, 18404, 16626, 14552?
12176
What is the next term in -951070, -3804273, -8559620, -15217117, -23776770, -34238585, -46602568, -60868725?
-77037062
What is next in -14407, -14390, -14373, -14356, -14339, -14322?
-14305
What comes next: -4268, -4340, -4412, -4484, -4556, -4628?
-4700
What is next in 181, 700, 2093, 4798, 9253, 15896, 25165?
37498
What is next in 581, 2240, 4995, 8840, 13769, 19776, 26855, 35000?
44205
What is the next term in -197, -1186, -3877, -9122, -17773, -30682?
-48701
What is the next term in -515, -1621, -3307, -5567, -8395, -11785, -15731?
-20227
What is next in 1078, 2009, 2938, 3865, 4790, 5713, 6634?
7553
What is the next term in 125506, 251022, 376544, 502072, 627606?
753146
What is the next term in 6615, 26433, 59457, 105681, 165099, 237705?
323493
What comes next: 5644, 11581, 17520, 23461, 29404?
35349
What is the next term in -80399, -160797, -241197, -321599, -402003, -482409?
-562817
What is the next term in -235, -256, -277, -298?
-319
What comes next: -1159, -4535, -10151, -18001, -28079, -40379, -54895?
-71621
What comes next: 526, 1099, 1670, 2239, 2806?
3371
What comes next: -6422, -12833, -19242, -25649?
-32054
What comes next: -7989, -8002, -8001, -7980, -7933, -7854?
-7737
What comes next: -1357, -795, 149, 1481, 3207, 5333, 7865, 10809?
14171
What comes next: 1923, 1939, 1955, 1971?
1987
What comes next: -6347, -25253, -56769, -100901, -157655, -227037?
-309053
What is the next term in 46800, 93597, 140394, 187191, 233988?
280785
What comes next: 6844, 13721, 20636, 27595, 34604?
41669
What is next in 42616, 85231, 127844, 170455, 213064?
255671
What is next in 6517, 13074, 19629, 26182?
32733
What is the next term in -910, -2197, -3484, -4771?
-6058
What comes next: -101422, -101420, -101418?
-101416
What is next in -313084, -626145, -939196, -1252231, -1565244, -1878229, -2191180, -2504091?
-2816956
What is the next term in 488, 417, 298, 131, -84?
-347
What comes next: -5889, -5902, -5915, -5928?
-5941
What is next in -765775, -765775, -765787, -765817, -765871, -765955, -766075?
-766237
What comes next: 72687, 290740, 654169, 1162980, 1817179, 2616772, 3561765, 4652164?
5887975
What is the next term in -2832, -11186, -25060, -44454, -69368?
-99802
What is the next term in -9390, -18781, -28172, -37563?
-46954
What is the next term in -5100, -20421, -45958, -81711?
-127680
What comes next: -403034, -806061, -1209078, -1612079, -2015058?
-2418009
What is next in -363, -1451, -3265, -5805?
-9071
What is the next term in -12, -57, -150, -297, -504, -777, -1122, -1545?
-2052
What is the next term in -42, -99, -172, -261, -366?
-487
What is the next term in 10490, 20962, 31434, 41906, 52378, 62850?
73322
What is next in -3898, -15598, -35100, -62404, -97510, -140418?
-191128
What is the next term in 346, 697, 1086, 1531, 2050, 2661?
3382
What is the next term in -571, -3678, -11871, -27694, -53691?
-92406
What comes next: -8, 16, -24, -158, -416?
-828
What is the next term in 2953, 5917, 8881, 11845, 14809, 17773?
20737
What is next in 34, -12, -144, -404, -834, -1476, -2372?
-3564
What comes next: -55030, -55028, -55026, -55024, -55022, -55020?
-55018
What comes next: -175, 502, 1179, 1856, 2533?
3210
What is the next term in 468, 939, 1418, 1911, 2424, 2963, 3534, 4143?
4796
What is next in -10445, -20897, -31351, -41807, -52265, -62725, -73187?
-83651
What is next in 1632, 3257, 4904, 6585, 8312, 10097, 11952?
13889
What comes next: -11693, -11890, -12087?
-12284
What is next in -17096, -17104, -17118, -17138, -17164, -17196, -17234?
-17278
What is the next term in 1303, 2412, 3521?
4630
What comes next: -36, -211, -494, -879, -1360?
-1931
What is the next term in 76338, 152684, 229030, 305376, 381722?
458068
What comes next: -7, -324, -839, -1534, -2391, -3392?
-4519
What is the next term in 463758, 927543, 1391342, 1855161, 2319006?
2782883
What comes next: -46120, -92254, -138388, -184522, -230656, -276790?
-322924
What is next in -7314, -7317, -7320, -7323, -7326, -7329?
-7332
What is next in 11501, 23000, 34499, 45998, 57497?
68996
What is the next term in 27377, 54769, 82161, 109553, 136945?
164337
What comes next: 2451, 5007, 7551, 10077, 12579, 15051, 17487?
19881
What is the next term in 58, 199, 446, 799, 1258, 1823, 2494?
3271
What is next in 231225, 462434, 693643, 924852?
1156061
What comes next: 57473, 114949, 172431, 229919?
287413
What comes next: 16414, 16411, 16408, 16405, 16402, 16399?
16396
What comes next: -23, -117, -281, -515, -819?
-1193
What comes next: -65941, -65926, -65911?
-65896
What is the next term in 28427, 28422, 28415, 28406, 28395, 28382?
28367
What comes next: -8240, -8109, -7992, -7895, -7824?
-7785
What comes next: -2487, -4534, -6581, -8628, -10675?
-12722
What is next in -16155, -16158, -16159, -16158, -16155, -16150?
-16143
What is the next term in 446, 2227, 5190, 9335, 14662?
21171
What comes next: 8016, 32054, 72114, 128196, 200300?
288426
What is the next term in -2484, -19636, -66198, -156876, -306376, -529404, -840666, -1254868?
-1786716
What is the next term in -6, -13, 8, 75, 206, 419, 732?
1163
What comes next: -2798, -5628, -8458, -11288, -14118?
-16948
What is next in 678515, 1357029, 2035543, 2714057, 3392571?
4071085
What comes next: 1525, 1576, 1649, 1744, 1861?
2000
What is the next term in 93, 131, 151, 153?
137
What is the next term in 578, 480, 384, 290, 198?
108
What comes next: 2571, 10251, 23059, 41001, 64083?
92311
What is the next term in -30507, -61016, -91525?
-122034
What is the next term in -71, 93, 535, 1393, 2805, 4909, 7843, 11745?
16753
What is the next term in 61983, 247944, 557881, 991794?
1549683
What is the next term in -2693, -10809, -24351, -43325, -67737, -97593, -132899?
-1
|
{
"pile_set_name": "DM Mathematics"
}
|
p(v) = -3*v. Suppose r = -r - 12. Let k(j) = r*p(j) + 10*i(j). Let x(o) = 2*o. What is k(x(t))?
-4*t
Let t(n) be the second derivative of -5*n**3/3 + 13*n. Let w(h) = h. Give w(t(q)).
-10*q
Let f(q) = -3*q. Let d(m) be the first derivative of -5*m**2/2 + 35. Determine f(d(s)).
15*s
Let u(q) = 6*q**2 - 14. Let z(h) = 2*h. What is z(u(j))?
12*j**2 - 28
Let a(q) = -3*q. Suppose -3*g - 2*g = 0. Let z(x) be the third derivative of -1/30*x**5 + 0*x**4 + 0*x + g + x**2 + 0*x**3. What is a(z(k))?
6*k**2
Let q(p) be the second derivative of -p**3/3 - p. Let l = -8 + 12. Let y(t) = 5*t. Let r(m) = m. Let a(d) = l*y(d) - 22*r(d). Give q(a(w)).
4*w
Let z = 5 - 1. Let r(u) = z*u + u - 3*u. Let m(h) = h**2. What is m(r(x))?
4*x**2
Let h(i) = -i. Let c(y) = -7*y + 4*y + 2*y. Determine c(h(a)).
a
Let k(l) = 11*l**2 - 8. Let r(b) = 4*b**2 - 3. Let n(w) = -3*k(w) + 8*r(w). Let i(f) = 30*f. Calculate n(i(q)).
-900*q**2
Let y = -7 - -13. Let w(r) = y*r - 2*r - r. Let m(h) = 2*h**2. Give m(w(d)).
18*d**2
Let u(j) = 2*j. Let x(m) be the third derivative of -m**5/30 - 4*m**3/3 + 3*m**2. What is u(x(s))?
-4*s**2 - 16
Let x(y) = -4*y**2. Let a(s) = -s - 7. Let n be a(-11). Let g be (n/7)/((-4)/(-14)). Let q(p) = 1 - p - 1 + g*p. Calculate x(q(d)).
-4*d**2
Let r(s) = 5*s + 35. Let i(k) = k**2. Determine r(i(g)).
5*g**2 + 35
Let f(j) = -j. Let t(k) = -21739*k + 1. What is t(f(q))?
21739*q + 1
Let s(n) = 3*n. Let k(u) = -11721*u. Calculate k(s(p)).
-35163*p
Let t(d) = 267*d**2. Let j(r) = r - 51. Determine j(t(i)).
267*i**2 - 51
Let k = 11 + -11. Let v(h) be the second derivative of 1/3*h**3 + 0 - 4*h + k*h**2. Let n(d) = d. What is v(n(c))?
2*c
Let t(n) = -2*n + 13 - 13 + 3*n. Let u be 1*5/(5/2). Let r(l) = 4*l**2 - 3*l**2 - u*l**2. Determine t(r(p)).
-p**2
Let n(r) = -2*r. Let t = 2 + 16. Suppose -q + 4*q - t = 0. Let m(s) = 6*s - 5*s**2 - q*s. Give m(n(b)).
-20*b**2
Let y(i) = -1. Let m(u) = -u + 2. Let d(q) = -m(q) - 2*y(q). Let h be -1*(-2 - 3) - 3. Let n(w) = -3*w**2 - 2*w**h + 6*w**2. Determine d(n(k)).
k**2
Let h(u) = 4*u + u - 6*u. Let w(o) be the first derivative of -9*o**2/2 + 159. Determine w(h(g)).
9*g
Let g(f) = 396*f - 11. Let w(m) = m**2. Determine w(g(o)).
156816*o**2 - 8712*o + 121
Let k(o) = -11*o**2. Let v(d) = -5*d. Let l(m) = -6*m. Let f(j) = -4*l(j) + 5*v(j). What is k(f(u))?
-11*u**2
Let p(y) be the third derivative of -y**5/10 - 7*y**2. Let s(l) = -l. What is s(p(r))?
6*r**2
Let c(o) = -o - 23. Let b(w) = 2*w**2. Give b(c(y)).
2*y**2 + 92*y + 1058
Let i(c) = 7 + 4*c + 9 - 2*c + 0. Let w(o) = 2*o**2. Calculate i(w(m)).
4*m**2 + 16
Let n(y) = 2*y - y - 4*y. Suppose u + 4 = 2*u. Let v(k) = -k - u*k + 3*k. Give n(v(h)).
6*h
Let h(o) = -65*o. Let p(d) = 5*d**2. What is p(h(v))?
21125*v**2
Let l = -2 - -5. Let f(o) = o**2 - 3*o + 2. Let y be f(l). Let p(i) = i**2 + y*i - 2*i. Let g(m) = -7*m**2. What is g(p(q))?
-7*q**4
Let m(y) = y. Let j be m(0). Let a(k) = j*k - 3*k + k. Let b(l) be the second derivative of l**3/3 + 22*l. Give a(b(t)).
-4*t
Let y(f) be the second derivative of -5*f**3/6 - 7*f. Let k(v) = -2*v. Give y(k(z)).
10*z
Let b(g) be the second derivative of -1/6*g**4 + 0 + 0*g**2 + 4*g + 0*g**3. Let k(t) = -t. Determine b(k(p)).
-2*p**2
Let p(d) = 2 + 0 - 2 - 2*d. Let r(n) = 2*n. Give r(p(m)).
-4*m
Let x(l) = 3*l. Let n(d) be the first derivative of -d**4/12 - d + 2. Let h(t) be the first derivative of n(t). Determine x(h(y)).
-3*y**2
Let r(n) be the second derivative of -n**4/24 - 4*n**2 + 8*n. Let c(t) be the first derivative of r(t). Let v(s) = 5*s**2. Calculate c(v(y)).
-5*y**2
Let x = 14 + -12. Let h(n) = -5*n**2 + 0*n**x + 3*n**2. Let b(u) = 4*u. What is b(h(y))?
-8*y**2
Let q(r) = -5*r**2. Let p(i) be the third derivative of 0*i**3 + 1/30*i**5 + 0 + 0*i**4 + 4*i**2 + 0*i. What is p(q(s))?
50*s**4
Let l(z) = z**2. Let j(x) = -2792*x. Determine j(l(h)).
-2792*h**2
Suppose 4 = -r + 3*r. Let b = -9 + 11. Let v(f) = 3*f**r - 2*f**2 + f**b. Let n(a) = -2*a**2. What is v(n(j))?
8*j**4
Let g(t) = -65*t**2 - 3. Let l(y) = -y**2. Calculate l(g(f)).
-4225*f**4 - 390*f**2 - 9
Suppose 4*s = 7*s - 6. Let p(a) = 0*a**2 - a**2 + a**2 - s*a**2. Let b(y) = y. Give b(p(i)).
-2*i**2
Let i(b) = 6*b**2 - 5*b + 5. Let t(z) = -7*z**2 + 6*z - 6. Let j(q) = -6*i(q) - 5*t(q). Let d(x) be the first derivative of 5*x**3/3 + 14. Calculate j(d(v)).
-25*v**4
Let k(v) = -2*v. Suppose 5*y + 0*u - 5*u = 15, 3*y + 5*u = 17. Let l(g) be the second derivative of -1/12*g**y + 0*g**3 + 0*g**2 + 0 + g. Determine k(l(z)).
2*z**2
Let d(o) = -2*o**2. Let q(j) = 29*j - 2. Determine q(d(a)).
-58*a**2 - 2
Let p(i) = -92*i. Let v(z) = 41*z**2. What is v(p(u))?
347024*u**2
Let c(r) = -2*r. Let s(m) = 7 - 12 + 5 - 20*m. What is s(c(z))?
40*z
Let o(m) = 2*m. Let p(b) be the first derivative of 1/2*b**2 + 3 + 0*b. Calculate o(p(i)).
2*i
Let h(r) = -583*r**2. Let d(x) = 4*x**2. Give h(d(v)).
-9328*v**4
Let g(z) be the first derivative of z**4/12 + z - 2. Let c(r) be the first derivative of g(r). Let d(v) = -2*v**2 - 4 + 4. Give d(c(i)).
-2*i**4
Let z(a) = 6*a. Let x(o) = -3*o + 4. Let m(u) = u - 1. Let s(d) = -4*m(d) - x(d). Determine z(s(k)).
-6*k
Let i(n) be the third derivative of n**5/30 - 2*n**3/3 + 2*n**2. Let w(b) be the first derivative of i(b). Let t(d) = -d**2. What is t(w(s))?
-16*s**2
Let l(y) = 8*y. Let m(f) = -9*f**2 + 10. What is l(m(c))?
-72*c**2 + 80
Let r(h) = h**2. Let z(m) = -m - 2. Let u(o) = 1. Let j(x) = -6*u(x) - 3*z(x). Calculate r(j(s)).
9*s**2
Let l(g) = 2*g. Let i be (-6)/4*4/(-3). Let t be 2/(0 + i/3). Let k(s) = s - t*s + 0*s. Determine l(k(f)).
-4*f
Let g(l) = 4*l. Let d(s) be the third derivative of -5*s**4/24 - s**2. Let x(p) = -2*p. Let r(c) = 2*d(c) - 6*x(c). Give g(r(u)).
8*u
Let x be (-5)/(-2) + 3/(-6). Suppose -3 = o - 5*y, -3*o - o = -5*y - 3. Let b(v) = -2*v + o*v - x*v**2. Let a(d) = -3*d**2. Calculate a(b(t)).
-12*t**4
Let x(k) = 11*k**2. Let i(l) be the third derivative of l**5/30 - 4*l**2. Give i(x(a)).
242*a**4
Let t(p) = 6*p**2. Let b(f) = 8*f - 7. Let o be (-5 - 2)*(1 - 2). Let c(i) = -7*i + 6. Let g(n) = o*c(n) + 6*b(n). Determine t(g(k)).
6*k**2
Let u(l) = -2*l**2. Let g(v) be the third derivative of v**4/24 + 4*v**2. Determine g(u(a)).
-2*a**2
Let w(r) = -300*r**2 - 3*r - 1. Let y(m) = m. Give w(y(x)).
-300*x**2 - 3*x - 1
Let m(l) be the second derivative of 0 - 1/6*l**3 - 4*l + 0*l**2. Let d(n) be the third derivative of -n**5/12 - 4*n**2. Give d(m(a)).
-5*a**2
Let v(k) = -4*k**2. Let c(u) = 2232*u. Calculate v(c(s)).
-19927296*s**2
Let u(x) = -x - 1. Let j(l) = -1. Let i(h) = j(h) - u(h). Let r(q) = q**2 - 4*q + 4. Let g(s) = s**2 - 3*s + 3. Let f(a) = -4*g(a) + 3*r(a). Calculate f(i(w)).
-w**2
Suppose -b - 4 = -3*x, 8 = 3*b + 2*b - x. Let q(w) = 3 - b*w**2 - 7 + 4. Let a(i) = i. Calculate q(a(j)).
-2*j**2
Let z(l) = -l. Let i(g) = -7*g**2 - 49*g - 49. Let u(b) be the first derivative of b**3/3 + 3*b**2 + 6*b + 1. Let q(c) = -6*i(c) - 49*u(c). Determine q(z(y)).
-7*y**2
Let n(q) = 0 + 0 - 2*q**2. Let z(p) = -p + 10. Let x(w) = 0 - 3 + 5 - 4. Let g(i) = 10*x(i) + 2*z(i). Give n(g(j)).
-8*j**2
Let o(z) = 4*z. Let u(k) = -2*k - 3. Let a(v) = 3*v + 5. Let b be 3 + 4*-1 + 3. Suppose 0 = b*c, -2*t - c = -2*c + 6. Let n(y) = t*a(y) - 5*u(y). Give o(n(m)).
4*m
Let x(i) = -6*i - 16. Let r(f) = -f - 3. Let l(o) = 16*r(o) - 3*x(o). Let m(d) be the first derivative of -5*d**3/3 + 1. Give l(m(s)).
-10*s**2
Let p(l) = -30*l**2 - 1. Let f(m) = -5*m**2. Calculate f(p(a)).
-4500*a**4 - 300*a**2 - 5
Let l(z) = -z**2. Suppose -2*r - 4*a - 2 = 6, -11 = 2*r + 5*a. Let y(q) = -5 - r*q**2 + 5. What is l(y(s))?
-4*s**4
Let i(u) be the first derivative of 3*u**2 + 6. Let y(d) = 3*d + 4. Let n(x) = -4*x - 5. Let w(b) = -4*n(b) - 5*y(b). Determine i(w(m)).
6*m
Let h(m) be the third derivative of -m**7/5040 + m**5/30 + 2*m**2. Let k(l) be the third derivative of h(l). Let q(p) = -2*p. Determine k(q(v)).
2*v
Let w(o) = -2 + 2 - 2*o**2 - 7*o**2. Let r(d) = -2*d**2. Give w(r(a)).
-36*a**4
Let i(v) be the first derivative of -1/2*v**3 + 2*v + 0*v**2 + 1. Let t(m) be the first derivative of i(m). Let j(q) = -2*q**2. Determine j(t(z)).
-18*z**2
Let k(g) = 3*g**2 - g. Let u be k(-1). Let f(m) = 4*m - u*m - 3*m. Let q(d) = d. Give q(f(n)).
-3*n
Let f(b) be the firs
|
{
"pile_set_name": "DM Mathematics"
}
|
s + 24*s. Let f(v) = -3*v**2. Calculate k(f(w)).
48*w**2
Let f(k) = -57*k**2. Let p(t) = -97*t. What is f(p(i))?
-536313*i**2
Let k(x) be the third derivative of 4*x**5/15 + x**2. Let u(b) be the third derivative of -b**5/60 - 143*b**2. What is u(k(z))?
-256*z**4
Let i(d) be the second derivative of 3*d**4/4 - 2*d. Let f(r) be the second derivative of -r**3/3 + 24*r - 1. Give i(f(h)).
36*h**2
Let z(p) = 22*p**2. Let f(j) = 37*j - 326. Calculate f(z(o)).
814*o**2 - 326
Let n(p) = 2*p**2 - 3*p + 525. Let b(h) = 4*h. Give n(b(z)).
32*z**2 - 12*z + 525
Let j(k) = 6*k**2. Suppose -w - 4*n + 3 = 0, 2*w + n + 3 = 2. Let z(i) = -1. Let v(h) = -3*h - 6. Let a(y) = w*v(y) + 6*z(y). Calculate j(a(m)).
54*m**2
Let z(l) = -2*l. Let f = 33 + -31. Let r(d) = 3*d - d + f + d. Let h(w) = 10*w + 7. Let c(s) = -6*h(s) + 21*r(s). What is c(z(j))?
-6*j
Let b(p) = -7*p**2 - 10*p - 5. Let k(d) = 4*d**2 + 6*d + 3. Let s(i) = 3*b(i) + 5*k(i). Let m(u) = -3*u - 98. Calculate m(s(x)).
3*x**2 - 98
Let i(q) = -q. Let s = 2 - -2. Let x(d) = 3*d - 10*d + s*d + d. Give x(i(k)).
2*k
Let p(l) = -5*l + 8368. Let t(s) = s. Give t(p(c)).
-5*c + 8368
Let a(n) = -38*n - 7. Let i(b) = -466*b**2. Give a(i(c)).
17708*c**2 - 7
Let z(l) = 13*l. Let q(a) = 8318*a**2. Calculate z(q(u)).
108134*u**2
Let d(b) = 6*b**2 - 2*b - 4. Let t(l) = -42*l**2 + 15*l + 30. Let c(x) = -30*d(x) - 4*t(x). Let s(z) = -29*z**2. Calculate s(c(j)).
-4176*j**4
Let n(j) = -334*j**2 + 9*j - 2. Let q(w) = -152*w**2. Determine n(q(z)).
-7716736*z**4 - 1368*z**2 - 2
Let f(p) = 2*p. Let n(g) = 3*g - 26936. Determine f(n(w)).
6*w - 53872
Let n(o) = 4294*o - 5. Let c(g) = -33*g - 1. Calculate c(n(p)).
-141702*p + 164
Let z(n) = 3*n. Suppose 0*p = -3*p + 15. Suppose 112 = i - p. Let k(o) = -51*o**2 - 57*o**2 + i*o**2. What is z(k(h))?
27*h**2
Let n(c) = 2*c + 116347. Let f(w) = -4*w. Determine n(f(p)).
-8*p + 116347
Let i(r) = 11*r**2 - 3*r + 3. Let n be i(1). Let x(w) = -53*w - 21*w - n*w. Let h(z) = 2*z. What is h(x(g))?
-170*g
Let r(s) = -13*s**2 + 2. Let z(l) = -95*l**2 + 46*l**2 + 51*l**2. What is r(z(x))?
-52*x**4 + 2
Let i(a) = -190*a - 1. Let r(s) = -22*s**2 - 52*s**2 + 76*s**2. Calculate i(r(c)).
-380*c**2 - 1
Let v(s) = -2*s. Let q(l) = 2045 - 2045 + 131*l. Give q(v(b)).
-262*b
Let p(i) = -55*i**2 + 9. Let y(k) = 18*k. Give p(y(a)).
-17820*a**2 + 9
Let f(s) = -s**2. Let a(w) = -7*w. Let t(y) = -34*y**2 + y - 2. Let o be t(1). Let v(k) = 119*k. Let z(d) = o*a(d) - 2*v(d). Determine f(z(q)).
-49*q**2
Let x(g) = 88*g - 2. Let h(p) = 2*p**2 - 335*p. What is h(x(d))?
15488*d**2 - 30184*d + 678
Let n(o) = -1027*o - 1029*o + 2061*o. Let s(h) = -18*h. Let v(m) = m. Let t(a) = -s(a) - 15*v(a). Calculate t(n(d)).
15*d
Let x(j) = -5*j**2. Let l(p) = 14 - 14 + 1638*p**2 - p - 1645*p**2. Determine x(l(k)).
-245*k**4 - 70*k**3 - 5*k**2
Let g(x) = -17*x. Let u(n) be the first derivative of n**4/4 - 16*n + 14. Let y(h) be the first derivative of u(h). What is y(g(o))?
867*o**2
Let g(b) = 2*b**2 + 30*b + 218. Let d(s) = -2*s**2. Calculate g(d(i)).
8*i**4 - 60*i**2 + 218
Let d(r) = -22*r**2 + 136*r - 1. Let p(a) = -7*a**2. What is d(p(f))?
-1078*f**4 - 952*f**2 - 1
Let r(d) = -18*d**2. Let c(o) = 20*o - 12. Let i(u) = 8*u - 5. Let q(a) = -5*c(a) + 12*i(a). What is r(q(z))?
-288*z**2
Let k(v) = 2*v**2 + 2*v - 2*v. Let j = -35 - -37. Let c(a) = 2*a**2 + 7*a**j - 25 + 25. Determine c(k(l)).
36*l**4
Let c(h) = -821*h**2. Let a(y) = 30*y**2. Give a(c(l)).
20221230*l**4
Let j(r) = 19*r**2. Let q = -1914 - -2947. Let c(f) = -1033*f + q*f - f**2. Calculate j(c(u)).
19*u**4
Let n(j) = -j. Let z(i) = -i**2 - 1849*i + 6. What is z(n(w))?
-w**2 + 1849*w + 6
Let c(i) = 2*i**2. Let s(y) = 3*y**2 + 46*y + 157. What is s(c(g))?
12*g**4 + 92*g**2 + 157
Let c(t) = -20*t**2 + t. Let u(v) be the first derivative of -v**3/3 + 34. Determine u(c(f)).
-400*f**4 + 40*f**3 - f**2
Let p(o) = 2*o**2. Let a(j) = -632 - 47*j - 23*j + 632. What is a(p(z))?
-140*z**2
Let y(l) = 4*l**2. Let n(z) = -351009*z. Calculate n(y(r)).
-1404036*r**2
Let s(b) = 5*b**2 - 17*b**2 + 10*b**2. Let g(w) = -102*w**2. Determine g(s(v)).
-408*v**4
Let o(q) be the second derivative of -q**3/2 + 185*q. Suppose 0 = x + 3 - 7. Let v(t) = -6*t**2 - 4 + x. Calculate v(o(d)).
-54*d**2
Let o(v) = -111*v**2 + 123*v**2 - 331*v**2. Let u(r) = -r**2. What is o(u(j))?
-319*j**4
Let c(m) = -3*m. Let w(y) = y**3 - 3*y + 3. Let b be w(3). Let d(r) = r + b - 21. Determine d(c(u)).
-3*u
Let i(d) = -2831*d**2. Let f(q) = -5*q. Calculate f(i(u)).
14155*u**2
Let u(j) = j. Let t(o) = 5*o. Let f(d) = 34*d - 920. Let k(v) = f(v) - 7*t(v). Give k(u(s)).
-s - 920
Let c(v) = -3*v**2. Let o(j) be the third derivative of 0*j + 0*j**3 + 19*j**2 + 0 - 5/24*j**4. Give o(c(t)).
15*t**2
Let s(x) = -x - 3*x + 8*x. Let a(v) be the second derivative of 5*v**3/6 - 1661*v. Calculate a(s(w)).
20*w
Let p = -23 + 27. Let v(h) = p*h + 17*h - 9*h + 6*h. Let w(t) = 2*t**2. What is v(w(l))?
36*l**2
Let j(q) = 8*q + 56. Let k(a) = -a + 7. Let r(s) = j(s) - 8*k(s). Let p(c) = -c**2. What is p(r(v))?
-256*v**2
Let o(z) = 3*z**2 + 431 - 431. Let h(n) = -16*n**2 + 14*n**2 + 8*n**2. Give h(o(t)).
54*t**4
Let a(r) = 4*r**2 - r**2 - 2*r**2. Let h(d) = 2*d - 9. Let j be h(8). Let z(b) = 9*b - 4*b - j*b. Determine a(z(m)).
4*m**2
Let f(c) = 15*c. Let z(i) = 13*i. Let x(n) = -2*f(n) + 3*z(n). Let r(a) = -45*a. Give r(x(q)).
-405*q
Let f(q) = -22*q. Let x(h) be the first derivative of -2*h**2 + 19. Give x(f(g)).
88*g
Let g(f) = 10*f. Let a(b) = 11578*b - 11578*b - 68*b**2. What is a(g(x))?
-6800*x**2
Let z(p) be the third derivative of p**8/2520 - 3*p**5/20 - 37*p**2. Let s(q) be the third derivative of z(q). Let o(l) = -l**2. What is s(o(h))?
8*h**4
Let n(g) be the third derivative of 0*g**3 - 1/20*g**5 + 0 + 9*g**2 + 0*g**4 + 0*g. Let z(p) = -7*p. Determine z(n(m)).
21*m**2
Let y(q) = 16*q**2 + 1. Let a(c) = -12*c**2 + 10. Let h(r) be the first derivative of -r**3/3 + r + 13. Let n(d) = a(d) - 10*h(d). Determine y(n(b)).
64*b**4 + 1
Let g(u) = -51538*u. Let f(i) = 2*i. Give g(f(m)).
-103076*m
Let o(p) = -3348*p. Let x(i) = -50*i. Let n(l) = 6*o(l) - 403*x(l). Let u(t) = -t**2. Determine u(n(w)).
-3844*w**2
Suppose -4 = 3*s - 5*s. Let h(z) = -z**s + 0*z**2 + 0*z**2. Let w(p) = 5*p**2. Determine h(w(o)).
-25*o**4
Let g(v) = 10*v**2 - 5*v - 5. Let h(j) = -j**2 + j + 1. Let z(o) = -4*g(o) - 20*h(o). Let c(t) = -2*t - 529 + 529. Give c(z(u)).
40*u**2
Let l(x) = 2*x**2. Let a(t) = 172*t**2 + 28*t. Let u(p) = -19*p**2 - 3*p. Suppose 3 = -0*b - b. Let c(i) = b*a(i) - 28*u(i). What is c(l(z))?
64*z**4
Let j(r) = 7*r**2. Let o(i) = 2805*i. What is j(o(f))?
55076175*f**2
Let j(k) be the second derivative of -k**4/4 - 293*k. Let c(o) = 158*o**2. Give c(j(w)).
1422*w**4
Let w(s) = -126*s. Let d(h) = -312*h + 3. Calculate w(d(u)).
39312*u - 378
Let v(s) = -2*s - 3555. Let n(r) = -5*r**2. Calculate v(n(u)).
10*u**2 - 3555
Let f(a) = -26*a - 1 + 7*a + 6*a + 0. Let i(g) = -2*g**2. Give f(i(n)).
26*n**2 - 1
Let s(n) = 4*n**2. Suppose -2*f = -4*f. Suppose -4*l = -f*l. Let b(o) = 117 - o**2 + l*o**2 - 117. Determine b(s(i)).
-16*i**4
Let p(q) = -19*q - 2. Let z(a) = 19*a + 3. Let b(g) = -6*p(g) - 4*z(g). Let c(n) = n - 7. Let i(r) = r - 14. Let j(f) = -2*c(f) + i(f). What is b(j(u))?
-38*u
Let o(a) = -23*a**2. Let v(k) = -6*k**2 + 7. Let r(j) = 2*j**2 - 2. Let l = 157 + -159. Let c(f) = l*v(f) - 7*r(f). What is o(c(n))?
-92*n**4
Let s(v) = 2*v**2 + 165. Let l(t) = -21*t**2 - 2. Give s(l(b)).
882*b**4 + 168*b**2 + 173
Let v(w) = 7*w**2 - 12*w**2 + 4*w**2 - 2*w**2. Let a(j) = 8*j. Calculate v(a(h)).
-192*h**2
Let x(l) = 11637*l. Let g(h) = -4*h. Determine x(g(r)).
-46548*r
Let x(l) = 8*l**2. Let w(y) = 3225*y. Calculate x(w(d)).
83205000*d**2
Let v(r) = 49810*r**2. Let f(a) = 3*a. Determine f(v(d)).
149430*d**2
Let r(m) = -2*m**2. Let a(n) = 3*n. Suppose -3*y = 2*t + 10, -4*t - 4*y - 6 = 14. Let j = t + 8. Let s(q) = -q. Let w(k) = j*a(k) + 6*s(k). Calculate r(w(l)).
-18*l**2
Let c(d) = -d**2 - 2*d - 409. Let l(i) = -7*i. Calculate c(l(j)).
-49*j**2 + 14*j - 409
Let z(l) = -l - 100699. Let p(s) = 3*s**2. What is z(p(y))?
-3*y**2 - 100699
Let u(x) be the third derivative of 13*x**4/24 + 152*x**2. Let w(k) = 12*k**2. Give w(u(f)).
2028*f**2
Let n(m) =
|
{
"pile_set_name": "DM Mathematics"
}
|
oduct of -0.1 and -1570.3.
157.03
328789 * -0.1
-32878.9
0.3 times 0.9061
0.27183
Multiply -1328849 and 0.4.
-531539.6
Multiply 0.4 and -0.77072.
-0.308288
0.061 * 1026
62.586
What is the product of -1.8 and 0.032436?
-0.0583848
Work out 0.026 * 1115.
28.99
What is 40983 times -0.03?
-1229.49
-4.872 times -0.24
1.16928
-0.07844 * 2
-0.15688
-7560*-0.04
302.4
-0.9*-2.3873
2.14857
What is -432.7 times 4?
-1730.8
171.31 times 0.4
68.524
0.4364 * 1.2
0.52368
0.21714 times -17
-3.69138
Calculate 2.4*-14734.
-35361.6
0.019 times 50
0.95
Product of 0.07 and 152887.
10702.09
96.08 * -0.05
-4.804
-303.9 * -1.9
577.41
-58312 times 2
-116624
0.0158 times -0.14
-0.002212
Multiply 27540 and 13.
358020
What is 0.0559 times -608?
-33.9872
-77 * 0.06509
-5.01193
What is the product of 2.9733 and 0.3?
0.89199
What is 2.4332 times 104?
253.0528
Calculate -34*0.02061.
-0.70074
Calculate 445.179*-0.3.
-133.5537
794*5
3970
Calculate -0.0866*0.1875.
-0.0162375
Calculate 1.72*229.9.
395.428
Calculate 0*25717.
0
Product of -62.2 and 0.04.
-2.488
What is -3 times 1883?
-5649
-83*1431.5
-118814.5
Product of -40937 and -3.
122811
Multiply 248 and -0.099.
-24.552
Calculate 8509.9*2.
17019.8
What is the product of -0.1 and -55.6?
5.56
Multiply -563.22 and 2.9.
-1633.338
-12.2754 * 2.9
-35.59866
-23 * 23106.1
-531440.3
Product of -22.947 and 266.
-6103.902
7*46.3768
324.6376
-345*-0.86
296.7
Product of -121.31731 and 0.3.
-36.395193
What is the product of 5 and 3443?
17215
0 * -0.0550959
0
Calculate -5*-34604.
173020
Multiply -5 and 8171.1.
-40855.5
37933*2
75866
What is 10 times -0.027713?
-0.27713
19108 * -5
-95540
-118493 * 5
-592465
Work out 0.4 * 0.0455.
0.0182
Work out 0.0189 * -525.
-9.9225
Product of -518 and -72.
37296
What is 0.05 times -9.01?
-0.4505
124 * 1233
152892
Multiply 40 and 4235.
169400
What is -7.624 times -116?
884.384
Multiply -0.05 and 70.176.
-3.5088
-0.36*-4.64
1.6704
What is the product of 5 and 94024?
470120
Multiply -0.5 and -415755.
207877.5
Multiply -648 and 4.3.
-2786.4
What is 5 times 0.072092?
0.36046
What is -24393.19 times -2?
48786.38
What is the product of 5 and -176882?
-884410
What is the product of 4.713 and 83?
391.179
Multiply -557 and 0.103.
-57.371
Product of 4.2 and -808.
-3393.6
Product of -249.35 and 0.2.
-49.87
What is -78.019 times 1.5?
-117.0285
-0.0447481 * 0.4
-0.01789924
Multiply 0 and 209505.
0
Multiply -7.618 and 4.
-30.472
-0.3*123302
-36990.6
Calculate -0.6822*-1.
0.6822
What is -0.17 times 2.1741?
-0.369597
What is the product of 227.9 and -716?
-163176.4
0.3 * 996.308
298.8924
What is 2719.2 times 2?
5438.4
70663*-5
-353315
-0.572*-178
101.816
What is -2.2 times 4776?
-10507.2
Work out -0.2 * 3.09733.
-0.619466
Work out 39.1 * 0.1.
3.91
Calculate 0.4*-110708.
-44283.2
What is the product of -0.0117 and -0.29?
0.003393
What is the product of 1301 and 0.018?
23.418
What is -628 times 8.34?
-5237.52
What is the product of -0.1 and 44031?
-4403.1
Calculate 0.382532*0.2.
0.0765064
2 * 6.087
12.174
Product of 692 and -5.87.
-4062.04
-15.7*0.1594
-2.50258
Multiply -77.279 and 0.02.
-1.54558
What is the product of -21 and 56?
-1176
-2*488004
-976008
Multiply 101 and 9.
909
2 times -6863.6
-13727.2
Work out -22.3 * 0.004.
-0.0892
Calculate -63*-9.66.
608.58
107514 times -0.07
-7525.98
-0.5 times -204183
102091.5
What is the product of -5482004 and 0.4?
-2192801.6
Work out -0.1 * 1.93.
-0.193
Calculate 0.3*11244.
3373.2
What is the product of -381 and 14764?
-5625084
Work out 4 * 128986.3.
515945.2
Calculate 2*154587.
309174
-10409*8
-83272
Multiply 1.36 and -5751.
-7821.36
Product of -2 and 223.66.
-447.32
Calculate -0.1*-7090.4.
709.04
What is the product of 33 and -0.05894?
-1.94502
Work out -7662 * -0.083.
635.946
Multiply -401 and -0.1547.
62.0347
-8 * 6986
-55888
Calculate -1117*-373.
416641
What is the product of -918 and -381?
349758
Work out -3307 * -17.
56219
What is the product of 0.515 and -36.02?
-18.5503
Multiply 25503 and -0.5.
-12751.5
-944 * -0.358
337.952
Work out -515 * 12.6.
-6489
Work out 0.5 * -2529.
-1264.5
Multiply 28.841 and -2.
-57.682
What is 2475 times -11?
-27225
41505.06 * 0.4
16602.024
Product of -1646 and -0.13.
213.98
Work out 384975 * -1.
-384975
3*74733
224199
Product of 0.5032 and 185.
93.092
Work out 178925 * -0.3.
-53677.5
Multiply -90969 and 3.
-272907
Work out 0.24 * 3723.
893.52
What is 0.247 times -4635?
-1144.845
Work out 43 * -0.448.
-19.264
Calculate 0.0408403*-0.3.
-0.01225209
Multiply 30 and -5.275.
-158.25
Product of 1630482 and -1.
-1630482
Calculate -0.28*-6.5.
1.82
Multiply -0.989 and -2.6.
2.5714
Work out 0.1414 * 378.
53.4492
What is 209.3 times -4?
-837.2
Work out 3 * 249981.
749943
-1987 * 0.96
-1907.52
Product of 694 and 0.1.
69.4
Work out -0.379373 * -0.4.
0.1517492
-0.5558 * 715
-397.397
What is -282.381 times -2?
564.762
Multiply -4637 and 0.44.
-2040.28
5 times 266825
1334125
Calculate -37*-1611.
59607
Product of 114.4 and -14.
-1601.6
What is the product of -580 and -0.1116?
64.728
-9.4*47
-441.8
-0.125*-0.556
0.0695
Work out 0.5 * 0.00454.
0.00227
-148.9*-7.1
1057.19
What is -1 times -3.6323?
3.6323
Calculate -1797*-9.7.
17430.9
What is the product of 0.02 and 0.0904?
0.001808
Product of 4.61598 and 0.9.
4.154382
32*-44507
-1424224
Calculate -0.0883793*0.2.
-0.01767586
Calculate 0.175*-0.178.
-0.03115
0.1 times -19264
-1926.4
Work out -0.07 * -6.43373.
0.4503611
Calculate -3*110565.
-331695
Work out 0.68 * -1049.
-713.32
Work out -1031543 * 0.5.
-515771.5
Work out -0.033 * 90930.
-3000.69
Calculate -16151*-0.14.
2261.14
What is -339.68 times 0.1?
-33.968
-33180 times 0
0
What is the product of -0.8 and -211.2?
168.96
Multiply -2033.87 and -3.
6101.61
Product of -12 and -9.134.
109.608
What is the product of 1.9 and 55535?
105516.5
32 times -792
-25344
0.7 * 13.1
9.17
What is 1208 times 53?
64024
-1 times 7093
-7093
Product of -1.4 and 199474.
-279263.6
What is the product of -2 and -184713?
369426
-0.1*5427
-542.7
-0.1*-152974
15297.4
Multiply 1 and 8915.
8915
Work out 51.4038 * 3.
154.2114
2 times 0.479631
0.959262
-23937*0.07
-1675.59
Product of 2.924 and 3.
8.772
2 * 21913
43826
0.3 * 256856
77056.8
What is the product of 84343 and -3?
-253029
Work out 6 * -5409.
-32454
Multiply 827.985 and 2.
1655.97
-25.9 times 9985
-258611.5
Calculate 23.4*-6511.
-152357.4
Work out -0.1 * 0.0551219.
-0.00551219
Multiply 5 and -865527.
-4327635
Calculate 1062586*-3.
-3187758
Work out -86 * 189.1.
-16262.6
0.09 * 1251
112.59
Multiply -44 and -1096.
48224
Multiply -0.51 and 0.8588.
-0.437988
128*17
2176
Calculate -0.7*109257.
-76479.9
-75.5849*-0.5
37.79245
Work out -3210.3 * 0.5.
-1605.15
-0.03 * -3029
90.87
What is 4 times -28.348?
-113.392
Product of 24172 and 2.
48344
-45 times 1.028
-46.26
236.6*-85
-20111
-17.42 times 0.95
-16.549
-0.3 * -43.472
13.0416
-53 times 1178
-62434
Product of -0.5 and 1743853.
-871926.5
-2.91249*4
-11.64996
Calculate 4*-0.0742592.
-0.2970368
Work out 0.1 * -151321.
-15132.1
-799.35 * -5
3996.75
Work out -9068 * -0.02.
181.36
Work out -3 * -851.3.
2553.9
What is the product of 7 and -0.25593?
-1.79151
Work out 7.2 * 20.199.
145.4328
What is the product of 3.164887 and 0.5?
1.5824435
Work out 55 * -6763.
-371965
Calculate -0.1037*1.
-0.1037
Calculate -46.4*191.
-8862.4
4.56103 * -0.5
-2.280515
-7.7 times -0.183
1.4091
Multiply 0.3 and -158.61.
-47.583
-0.5 * -0.0717439
0.03587195
129.4 * -0.04
-5.176
Work out 466.9323 * -1.
-466.9323
-321*0.019
-6.099
Multiply -4 and -174.06.
696.24
Multiply -3803.3 and -1.
3803.3
735 times -0.1708
-125.538
-5 * 561
-2805
7 times 1.25
8.75
Product of -81 and 65.3.
-5289.3
Work out -512.6 * -6.
3075.6
Multiply 0.039 and 645.
25.155
Work out 30 * 0.0453.
1.359
Multiply 38495 and 3.
115485
What is -0.635 times 237?
-150.495
-2183337 times 0.2
-436667.4
What is 7487 times -5.7?
-42675.9
Calculate 3048*-0.08.
-243.84
Calculate 0.874*-2.4.
-2.0976
Work out 0.4 * 119.7.
47.88
What is -127.9 times 1910?
-244289
-0.3*-599844
179953.2
Multiply -5 and -6897.
34485
Calculate 75307*-6.
-451842
Calculate -8.05915*-4.
32.2366
Calculate -5.808*0.78.
-4.53024
What is the product of -9 and 27.228?
-245.052
What is -0.2 times -1322697?
264539.4
0.5*-281099
-140549.5
-0.9383 * -2
1.8766
Product of 2109 and -871.
-1836939
Multi
|
{
"pile_set_name": "DM Mathematics"
}
|
*f**2/2 + 9*f + 1. Suppose 16*p + 70 = 6. Is o(p) a composite number?
False
Let m = 13293 - 8859. Let z be m/(3/(9/6)). Suppose -10*w + z = -13453. Is w a prime number?
True
Let t(y) = 116*y**2 - 103*y - 2131. Is t(-30) composite?
False
Suppose 225339 = 23*z - 86449. Let p = z + -5187. Is p a prime number?
True
Suppose 4*t = 4*l - 176572, 220679 = 9*l - 4*l + 4*t. Is l a composite number?
True
Let m(b) = 31*b - 54. Let q be m(2). Suppose 10*p + 10371 = y + q*p, -4*y - 5*p = -41471. Is y a prime number?
True
Suppose 88*x + 3249309 = -24*x + 30091789. Is x a composite number?
True
Let j be (8/6)/((4/(-12))/(-1)). Suppose 5*t - 5*c - 30 = 0, 8 = -j*c - 8. Is ((-2)/(-3))/((-1)/(-1173)*t) composite?
True
Let d = 184037 - 55936. Is d a composite number?
True
Suppose 4*f + 3*f = 441. Let c(n) = 1 + 30*n - f*n + 33. Is c(-8) a prime number?
False
Let l be (2/4)/(1/(-12)). Let t(m) = -m**3 - 7*m**2 - m + 1. Let n(s) = -16*s**3 - 50*s**2 - 11*s + 5. Let z(a) = n(a) - 6*t(a). Is z(l) a composite number?
False
Let f be (-12)/18 - 209712/(-18). Suppose 26*n + f = 51*n. Is n a prime number?
False
Let m = 105297 + -35200. Is m composite?
True
Let t = -329 - -333. Is ((-7789)/(-3))/(t/((-480)/(-8))) a prime number?
False
Let b = -1476 - -8821. Let o = b + -3453. Let n = o + -1841. Is n a prime number?
False
Suppose 4*v + 1301 - 3797 = 0. Suppose -7937 = -23*h + 6760. Suppose u = p + v, 0 = -u - p - p + h. Is u a composite number?
True
Let q(v) = -v**2 + 22*v - 17. Let o be (0 - -3)*(-2 - (4 + -13)). Let g be q(o). Suppose -g*s + 6432 + 13228 = 0. Is s composite?
True
Suppose -106*d = -117*d + 658867. Is d a prime number?
False
Let p(n) be the second derivative of 41*n**4/12 + 13*n**3/6 + 14*n**2 - 20*n - 2. Is p(-3) composite?
True
Let j = 849 - 819. Is 40/j*-3*31/(-4) composite?
False
Let j be (-629)/4 - (-1)/4. Let a(p) = 61*p - 56. Let v be a(7). Let n = j + v. Is n a prime number?
False
Let l(r) = 6*r + 3. Let y be l(-8). Let c be y*(33/9 - 4). Is (-6)/c + (-1602)/(-30) a prime number?
True
Let d = 775099 + -508550. Is d composite?
False
Let h = -166 - -172. Is -2 + 1150 + 18/h a prime number?
True
Let n(t) be the second derivative of -97/20*t**5 - 2*t**2 - 1/3*t**4 - 38*t - 5/6*t**3 + 0. Is n(-2) a prime number?
False
Suppose 0 = 95*z - 101*z + 42. Suppose 0 = 3*m - i - 23396, 3*m + z*i = 10*i + 23394. Is m a composite number?
True
Suppose 0 = 4*w + 4*z + 184, -6*z + z = 2*w + 95. Let f = -30 - w. Is 18430/f - 2/(-6) composite?
False
Let y(f) = 347456*f**2 + 240*f - 241. Is y(1) composite?
True
Suppose -6*c + 8*c + 4*y - 1333070 = 0, -1999561 = -3*c + 5*y. Is c composite?
False
Suppose 4*j - 2*f = -0*j - 2, 0 = -2*j + 2*f - 4. Let d be 45/(-6)*j/((-15)/18). Is 2261/d + 4/(-36)*2 a prime number?
True
Let v(y) = -87*y**3 - y. Let f be v(-1). Suppose -5*b - 5*k + 220 = 0, 0*b + 2*b + k = f. Let i = 81 - b. Is i a composite number?
False
Suppose -7*p + 429023 = 5*p - 468505. Is p prime?
False
Is -18 + (-11 - -18) + 271402 prime?
False
Let h(t) = 51*t**3 - t**2 + 4*t - 5. Suppose s + 4 = 4*o + 2*s, 0 = -2*o - s. Is h(o) a prime number?
False
Let b be ((-9)/12)/((1/260)/(-1)). Let p = b + 129. Suppose f - 2*l - 17 - p = 0, 4*f = 2*l + 1346. Is f prime?
False
Let r(x) = -2696*x**3 - 2*x**2 + 6*x - 7. Let a(n) = -2697*n**3 - 2*n**2 + 6*n - 9. Let j(f) = 2*a(f) - 3*r(f). Is j(2) prime?
False
Suppose 3*h - 3*s = 36, 4*s - 10 - 2 = -2*h. Suppose -317233 = -h*b - 9863. Is b composite?
True
Suppose -47628 - 41465 = -60*j + 373447. Is j composite?
True
Let g be 4/20 - 4/20. Suppose -9*b + 27615 + 8304 = g. Is b a prime number?
False
Let m = 10151 + -5950. Is m a prime number?
True
Suppose 3*f + 98 = p, -2*p - f - 3*f + 176 = 0. Suppose -p*n + 57944 = -84*n. Is n composite?
False
Let i = 337418 - 63145. Is i a composite number?
True
Let q(h) be the second derivative of h**4/12 + 55*h**3/6 + 17*h**2/2 - 17*h. Let v(z) = 2*z**2 + 109*z + 35. Let c(t) = 5*q(t) - 3*v(t). Is c(-21) composite?
False
Suppose -3*t - t - 1755342 = -22*t. Is t prime?
False
Suppose -201*r = -74*r - 16263239. Is r a prime number?
False
Let l = -104 - -158. Let y = -36 - l. Is (-765070)/y - 2/(-9) a composite number?
False
Let i = -16 - -13. Let m be (-6 + 2 + 12/4)*i. Is (m - (-40)/(-12))*-7698 a prime number?
False
Let t(w) = 38*w**3 - w**2 + 43*w - 1167. Is t(23) a composite number?
False
Let h(l) = 2*l - 22*l**2 + 19*l**3 - 17*l**2 - 13*l**2 - 2 + 50*l**2. Is h(3) a prime number?
True
Suppose 0 = 4*q - h - 130995, -32752 = 236*q - 237*q - 3*h. Is q composite?
False
Is 5 + (-3 - 7) + (-1926932)/(-14) a composite number?
False
Is 2/3*3*(-129221303)/(-1466) composite?
True
Suppose 8*c - 4*v + 20 = 3*c, -v + 5 = 3*c. Suppose 3*y + 4 - 10 = c. Suppose -10*w = y*w - 72. Is w a prime number?
False
Let q be 156/(-108)*5 - (-2)/9. Let m(n) = 106*n**2 + 23*n + 36. Is m(q) prime?
False
Let s(q) = q**2 - 5*q. Let n be s(0). Suppose n = 10*j - 569 - 401. Is j composite?
False
Suppose 15*s + 1041782 = 2*h + 19*s, 1562671 = 3*h + 4*s. Is h a prime number?
True
Let t = 148400 - 63043. Is t prime?
False
Is (((-460)/(-368))/((-5)/2))/((-2)/445384) a prime number?
False
Let n(c) = -177*c**3 - 22*c**2 - 221*c - 17. Is n(-7) a prime number?
False
Let r(z) = -7*z**2 - 120*z + 18. Let v be r(-17). Suppose 208563 = 22*n + v*n. Is n prime?
True
Suppose 0 = -3*h + 2*w - w + 44, -5*h + w = -76. Let u(j) = -3 + 2*j + j + 4*j**3 - h*j**2 - 3*j**3 + 3*j. Is u(16) composite?
True
Suppose -17*r + 806659 = -203160 - 30972. Is r a prime number?
True
Let y = 550869 + -82238. Is y composite?
True
Suppose p = 19*p + 1548. Let x = p - -76. Is ((-795)/x - -4)/(1/6) a prime number?
False
Suppose -4*r + 28132 = 4*t, -3*r + 9459 + 11642 = 2*t. Is r - (5 + 45/(-5)) a prime number?
True
Let c(n) = -9044*n + 151. Is c(-5) composite?
True
Let p = 13384 - -15861. Is p prime?
False
Suppose 25 = -5*x, -g - 4*x + 129307 = 40780. Is g prime?
True
Let b(p) = 695*p - 1113. Is b(16) a composite number?
False
Let h(w) = -3*w + 79. Let z be h(25). Suppose 4*a - z*y = 2680, -2*y + 1478 + 1893 = 5*a. Is a a prime number?
True
Let q = -159 - -191. Suppose -37*s + 21905 = -q*s. Is s a composite number?
True
Let r(z) = z**2 - 1. Let p(t) = -t**3 - 13*t**2 - 6*t - 5. Let g(x) = p(x) + 6*r(x). Is g(-7) a prime number?
True
Let x(q) be the third derivative of -1/24*q**4 + 24*q**2 + 0*q + 28/15*q**5 + 0*q**3 + 0. Is x(-1) a composite number?
False
Suppose 0 = -36*o + 1997989 - 259945. Let f = o + -29006. Is f a prime number?
True
Let s = -2775 + 1368. Let w = s + 2434. Is w a prime number?
False
Let d(n) = 402*n - 11254. Let y be d(28). Let a(g) be the first derivative of 101*g**2/2 + 9*g + 1. Is a(y) a prime number?
True
Let a = 74 - 125. Let y = 55 + a. Suppose 0 = -y*n + 564 + 856. Is n a prime number?
False
Let y(r) = 12421*r**2 - 9*r - 9. Let d be (-40)/(-60) + 15/(-9). Is y(d) a prime number?
True
Let c(n) = -n**3 + 12*n**2 - 12*n - 1. Let u be c(13). Let y = 294 - u. Suppose -3*r + y = -1933. Is r a composite number?
True
Suppose u + 0*j = 4*j + 16, 0 = 2*j + 6. Suppose -n = -2*p - 16965, -u*n + 6*p + 67824 = 7*p. Is n composite?
True
Suppose 1482*m = 1524*m - 1905834. Is m a composite number?
False
Suppose 3*n + 5*w = 80342, -9*w + 12*w + 133824 = 5*n. Is n prime?
False
Let c = 122961 - -50977. Is c a composite number?
True
Let l(s) = s**2 - 27*s + 28. Let m be l(26). Suppose m*v - 16 = 4. Is (10/25)/((-8)/v)*-4198 a prime number?
True
Let u(t) = t**2 + 4*t - 3. Let b be u(-5). Let r(p) = 3177*p**2 - 6 - 14 - 290*p**b + 22 + 2*p. Is r(-1) composite?
False
Suppose 3*w - 292985 = -2*d, -145*d + 140*d - 292999 = -3*w. Is w composite?
True
Suppose 46*v - 2*t = 51*v - 2026597, 5*t + 405368 = v. Is v prime?
True
Suppose 4*m = -3*c - 51, -4*c + 3*c = -3. Is ((-109991)/(-8) - 0) + m/(-120) a composite number?
True
Let u(z) = z**2 - 3*z - 1. Suppose -l - l + 3*i = 4, -i + 24 = 5*l. Let a be u(l). Suppose 4*o + 0*v - 73 = v, -a*o - 5*v = -72. Is o a composite number?
False
Suppose 0 = -3*y - 4*i + 221220 + 287035, 5 = 5*i. Is y a composite number?
True
Suppose 1418452 = -3*g + 126595. Is (-4)/36*2 - g/63 prime?
False
Let x be 3*(-3)/24 - (-189)/(-72). Suppose 5*r + o + 0*o = 58, 2*r - 26 = o. Is -2*x/r*598 composite?
True
Let z(q) = q**3 + q**2 - 2*q - 1.
|
{
"pile_set_name": "DM Mathematics"
}
|
ne hundred thousand?
300000
Let s = 633 + -233. What is s rounded to the nearest 1000?
0
Let a = 0.01 + -0.017. Let o = a - -0.02. Let w = 0.0130027 - o. What is w rounded to six dps?
0.000003
Let z = -19 - -19. Suppose z = 12*p - 17*p + 45. Round p to the nearest integer.
9
Suppose -1645023 = -3*p - 0*p. Suppose -48341 = -2*w - p. What is w rounded to the nearest one hundred thousand?
-300000
Let b = 15 - 15.14. Let l = 0.1332 + b. Round l to 3 dps.
-0.007
Let m = -3 + 3.1. Let g = m + -3.1. Let w = -2.9999968 - g. What is w rounded to six dps?
0.000003
Let u = -9.733 - 0.067. What is u rounded to 0 decimal places?
-10
Let o = -39.8 - -39.561. Let m = o + 0.358. Round m to 2 decimal places.
0.12
Let l = 1.718166 + 6.080864. Let u = l - 7.8. Round u to four decimal places.
-0.001
Let o = 0 + -2. Let u be 2 - (-2 - (-2)/(-2)). Let z = u - o. What is z rounded to the nearest integer?
7
Suppose -c = -4, 2*h - 6*c + 2*c = 123984. What is h rounded to the nearest ten thousand?
60000
Let x = -2 - 6. Let c = x - -5. Let d(j) = -2*j**3 + 2*j. Let h be d(c). What is h rounded to the nearest ten?
50
Let s = -57.0062 + 57. Round s to 3 dps.
-0.006
Let o = -14 - -13.99994. What is o rounded to five decimal places?
-0.00006
Let s = 1 + -1. Let q = s - -3. Suppose 0 = q*z - z + 17200000. Round z to the nearest one million.
-9000000
Let n = -2 - 8. Let i be ((-24)/n)/((-1)/687500). What is i rounded to the nearest 100000?
-1700000
Let w = -5.5 + -0.5. Let x = 6.03 + w. Let s = x + 0.048. Round s to 2 decimal places.
0.08
Suppose -11310770 = -6*f + 3089230. Round f to the nearest one million.
2000000
Let x = -4.3974 + 4.4. Round x to 3 dps.
0.003
Let p = -1.22 + 60.22. Let b = 58.73 - p. Round b to 1 dp.
-0.3
Let i be (80000/(-8))/((-4)/22). What is i rounded to the nearest 10000?
60000
Let c = -0.112 - -0.206. What is c rounded to 2 decimal places?
0.09
Let a be -3 + 2 + 11435*-421. Let w = a - -10714136. Round w to the nearest one million.
6000000
Let d = -0.2 - -0.2. Let x = 1.9984 + -2. Let w = x + d. Round w to 3 dps.
-0.002
Let g(k) = -176*k**3 + 2*k**2 + 5*k - 6. Let s be g(4). Let o = 19782 - s. Round o to the nearest 10000.
30000
Let p = -13449 - -13449.30005. Let h = -0.2 + -0.1. Let b = h + p. What is b rounded to 4 decimal places?
0.0001
Let d = 1.5 - 1.50016. Round d to 5 decimal places.
-0.00016
Let r be ((-32)/10)/(3/(-105)). What is r rounded to the nearest 10?
110
Let s be 39*(2 + (-3 - (1 + 1))). Round s to the nearest 10.
-120
Let n = 14.18 + -0.18. Let m = n + -14.022. What is m rounded to two dps?
-0.02
Let j = -51 + 50.99096. What is j rounded to three decimal places?
-0.009
Let z = 0.642 + -0.79. Round z to 2 dps.
-0.15
Let c = 18 - 16.4. Let o = 0.93 - c. What is o rounded to 1 decimal place?
-0.7
Let y = 0.241 + -0.240746. What is y rounded to five decimal places?
0.00025
Let w(o) = 2021*o**2 + 3*o - 10. Let r be w(-5). What is r rounded to the nearest 10000?
50000
Let u = -178960.9699012 - -178961. Let d = u - 0.1101. Let q = -0.08 - d. What is q rounded to 6 decimal places?
0.000001
Let w = 7 - 16. What is w rounded to the nearest ten?
-10
Let a(x) = -x - 10. Let l be a(-8). Let z = l + 5. Suppose -4*p = -y + 207997, -4*p - 207994 = -z*y + y. Round p to the nearest ten thousand.
-50000
Let d(t) = -t**3 + 4*t**2 + 5*t + 3. Let p be d(5). Suppose 0 = p*v - v - 18. Let h(b) = 57*b - 13. Let f be h(v). Round f to the nearest one hundred.
500
Let u = -0.02 - 0.04. Let w = -0.05999996 - u. Round w to seven decimal places.
0
Let u be 13950/12*6400/6. What is u rounded to the nearest one hundred thousand?
1200000
Suppose 0*a + 2*h = a + 183992, -a + 5*h - 183980 = 0. Round a to the nearest 100000.
-200000
Suppose 3*t + 4*n - 1 = 7, t - 2*n - 6 = 0. Let m(c) = c - 6. Let a be m(8). Let l be a/t + (-2238)/(-4). What is l rounded to the nearest one hundred?
600
Let b = 0.023938 - 0.024. Round b to 5 decimal places.
-0.00006
Let h = -0.3 + 0.295. Let y = 6 - 5.968. Let s = h + y. What is s rounded to two dps?
0.03
Let i = 14 + -13.936. Let z = i + -0.1. Let r = z - -4.336. What is r rounded to the nearest integer?
4
Let j = 5.0009 + -5. What is j rounded to three decimal places?
0.001
Let k be (3 + -3)/(-2) - -74554. Suppose -2*c - 1254554 + k = 0. What is c rounded to the nearest 100000?
-600000
Let s(g) = -439*g**2 - 6. Suppose 0 = -5*h - 0*c + c - 20, -h - 3*c = 20. Let j be s(h). Let q = j + 19481. What is q rounded to the nearest 1000?
9000
Let t = 1783.925089 - 1783.9. Let y = -5 - -4.975. Let z = t + y. Round z to five dps.
0.00009
Let v = 0.11 - 0.27. Let g = v - -0.159981. Round g to five decimal places.
-0.00002
Let z = 1879309 - 1879306.000006. Let q = 8 - 5. Let r = q - z. Round r to 5 dps.
0.00001
Suppose 4 = 5*u - 6. Suppose -u = -3*k + k. Let g be k + -3 + -26 + 1. What is g rounded to the nearest ten?
-30
Let p(r) = -5*r**2 + 2*r - 1. Let s(o) = o**3 + 6*o**2 - o + 5. Let d be s(-6). Suppose 3*t - d = 1. Let v be p(t). Round v to the nearest 10.
-70
Let g(c) = c**3 - 4*c**2 + 3*c - 1. Let x be g(3). Let j be x/(3/(-9)) - 5203. Round j to the nearest 1000.
-5000
Let g be 27*(589479/9 - 4). Suppose -4*a + 2000008 = -2*h, 3*a + 268317 = 3*h + g. Round a to the nearest one hundred thousand.
500000
Let c = 0 - -4.9. Round c to zero dps.
5
Let d = -38.99876 + 39. What is d rounded to 4 dps?
0.0012
Let a = -909697620.99999966 + 909697596. Let q = a + 25. Let s = 0 - q. What is s rounded to 7 decimal places?
-0.0000003
Let o = -301.863 - -302. What is o rounded to two dps?
0.14
Let z = -394943.4600063 - -394935.76. Let h = 7.7 + z. Round h to six decimal places.
-0.000006
Let n = 23 - 33. Round n to the nearest integer.
-10
Suppose 5*l - 4 = 3*l + s, 4*l - s = 8. Let o(d) = 13298*d + 10. Let v be o(10). Suppose l*k + v = 3*g + 48999, 0 = -2*g - 6. Round k to the nearest 10000.
-40000
Let s be 2/12 + (-102)/(-36). Let p be ((2 + -2)/(-1))/s. Round p to the nearest 10.
0
Suppose -3*c + 256807 + 31079692 = 5*y, -5*y = 5*c - 52227515. Suppose -7*i - 2745508 + c = 0. What is i rounded to the nearest 1000000?
1000000
Let g = -1 + 0.94. Let f = 0.06005 + g. What is f rounded to 5 decimal places?
0.00005
Let w = -132 - -70. Let r = w + 61.9971. Round r to 3 decimal places.
-0.003
Suppose 2*x + 11507390 = 3*j, 5*x + 11507375 = 3*j - 0*x. Let v = 6535800 - j. What is v rounded to the nearest 1000000?
3000000
Let k(g) = 4298*g**3 - 4*g**2 - 3*g + 4. Let x be k(4). What is x rounded to the nearest ten thousand?
280000
Let j = 82997587 + -82960709.973. Let m = j - 36818. Let c = -59 + m. What is c rounded to 2 decimal places?
0.03
Let o = -56.868 + 57. What is o rounded to two dps?
0.13
Suppose 3*q - 8265 = -4*r, 0*r - 3*q + 4125 = 2*r. What is r rounded to the nearest 1000?
2000
Let s(c) = -2*c - 11. Let t be s(-7). Suppose -3*m + 5*q - 16200 = -5*m, 5*q - 24300 = -t*m. Round m to the nearest 1000.
8000
Let u = 704 + -491. Let g = 213.161 - u. Let z = g - 0.16033. Round z to 4 decimal places.
0.0007
Let o = -3485.3002 - -3486. Let j = 0.7 - o. Round j to three decimal places.
0
Let m = -0.32 + 1.224. Let p = -1.1 - -0.2. Let n = m + p. Round n to two dps.
0
Suppose 20 = 4*r, 2*r + 22 = 2*s - 12. Let n be s/11 + (1099998 - 0). What is n rounded to the nearest one million?
1000000
Suppose j - 1 = -p, 3*j + 3*p - 3 = 2*j. Round j to 5 decimal places.
0
Let n = -0.026 + 11.526. Let h = -11.4999939 + n. Round h to 6 decimal places.
0.000006
Let p be 0 - (-73 + -3 + 4). Let t be (-122384)/p - 2/9. Round t to the nearest 1000.
-2000
Let d(l) = -l**3 - l**2 + 8*l + 2. Let v be d(-9). Round v to the nearest 100.
600
Let x(o) = -o**3 + 8*o**2 - 2*o + 12. Let t be x(8). Let f be ((-580001)/2)/(2/(-4)). Let g be f + -2*(-2)/t. Round g to the nearest one hundred thousand.
600000
Suppose -7*k + 2*k - 3*t = -108500009, -t = -2*k + 43399997. What is k rounded to the nearest 1000000?
22000000
Suppose 5*r = -3*w - 520, 0*w = r - 5*w + 104. What is r rounded to the nearest 10?
-100
Suppose 4*r + 5900000 = -6*r. What is r rounded to the nearest one hundred thousand?
-600000
Let q(l) = -3805*l - 1. Suppose 0 = 2*i + 4 - 0. Let a be q(i). Suppose -3*d - a = -r, -r = 2*d - 4308 - 3286. Round r to the nearest one thousand.
8000
Let f = -0.174 - -0.19. Round f to two
|
{
"pile_set_name": "DM Mathematics"
}
|
s(t) = -9*t + 30*t + 19 - t**2 - 13*t. What is the remainder when 56 is divided by s(9)?
6
Let y(g) = 3*g - 7. Suppose -10 = -3*q - 1. Let a be y(q). Suppose -1 = -a*j + 1. What is the remainder when j is divided by 1?
0
Let c be ((-8)/(-10))/(2/5). Suppose 0 = -j - c + 5. Suppose 0 = 6*w - 2*w - 16, -4*a + 44 = -2*w. What is the remainder when a is divided by j?
1
Suppose 0*p = 5*p - 190. What is the remainder when p is divided by (-2)/4*-98*30/105?
10
Let k = 6 + 6. Suppose 15*n = k*n. What is the remainder when 60 is divided by (-6 - n)/((-15)/40)?
12
Suppose 35*t - 5*t - 1680 = 0. What is the remainder when 501 is divided by t?
53
Let r(i) = 15*i + 1118. What is the remainder when r(15) is divided by 32?
31
Calculate the remainder when ((-2)/10*16)/(1/(-5)) is divided by 9.
7
Suppose 26*v - 47 = 161. Calculate the remainder when 14 is divided by v.
6
Suppose 4*d = -2*m - 3*m + 223, 0 = 2*m - 4*d - 106. What is the remainder when m is divided by 28?
19
Let r = 105 - 86. Suppose u - 11 = -3*c, c = 3*u + 3*c - r. What is the remainder when 74 is divided by u?
4
Let i(n) = -n**3 + 3*n**2 + 7*n. Let c be i(5). Let t be (24/c)/(4/(-10)). Calculate the remainder when 18 is divided by 4 + -5 + (t - -2).
3
Let n be 2 + -12 + -2 - 2. Suppose 0 = -15*p + 16*p + 4. Calculate the remainder when p/(-3)*(-231)/n is divided by 13.
9
Let d(s) = 4*s**2 + 2*s - 2. Let x be d(1). What is the remainder when 13 is divided by (-3)/((36/(-15))/x)?
3
Suppose 74 = 3*x + 8. Suppose 4*d - 536 = -4*o, 0 = 7*o - 9*o - 3*d + 272. Calculate the remainder when o is divided by x.
20
Let p(h) = 6*h + 10. Let n be p(-9). Let j = 49 + n. Let y(z) = z**3 - 7*z**2 + z. Calculate the remainder when y(7) is divided by j.
2
Suppose -4*z = 8, 5*c = z + 21 - 4. What is the remainder when 6 is divided by (c - 2) + 10/5?
0
Let i = -915 - -991. What is the remainder when 303 is divided by i?
75
Suppose -13*n + 17 + 87 = 0. What is the remainder when 10 is divided by n?
2
Suppose -32*m = -30*m - 210. Suppose m = s + 3*s - 3*p, 3*p - 39 = -2*s. What is the remainder when 47 is divided by s?
23
Calculate the remainder when 257 is divided by 6 - 46*4/(-8).
25
Suppose 0 = -4*p - x + 1273, 2*p = -x + 662 - 23. Calculate the remainder when p is divided by 84.
65
Let q = -77 + 41. Let z = 44 + q. Suppose -39 = -0*p - 3*p. What is the remainder when p is divided by z?
5
Let d(t) = 17*t**2 - 4*t + 33. Let s = 148 - 104. Calculate the remainder when d(3) is divided by s.
42
What is the remainder when 65 is divided by ((-550)/200)/(2/(-8))?
10
Suppose 2*l - 167 + 153 = 0. What is the remainder when 68 is divided by l?
5
Let b = -43 - -288. What is the remainder when b is divided by 31?
28
Let m(c) = -c**3 + 11*c**2 - 18*c - 27. Calculate the remainder when 514 is divided by m(7).
41
Let c = -2890 - -4380. What is the remainder when c is divided by 18?
14
Let t(w) = -w**2 + 8*w - 3. Suppose -5*a = -4*b + 412, -a - a - 164 = -2*b. What is the remainder when (2 - 0)*a/(-8) is divided by t(5)?
9
Let v = -224 - -227. Calculate the remainder when 16 is divided by v.
1
Let h = 128 + -90. Suppose 0 = -v + 3*v - h. Calculate the remainder when v is divided by 4.
3
Let l = 1135 - 940. Calculate the remainder when l is divided by 9.
6
Suppose 4*m - 2539 + 559 = 0. Suppose -m + 111 = -3*o. Suppose 58 = 3*w - o. What is the remainder when w is divided by 16?
14
Suppose -11*p + 15 = -8*p. Suppose p*d = 37 + 178. What is the remainder when d is divided by 24?
19
Let r(c) = 3*c**2 + 2*c - 8. Let u = 63 - 67. Calculate the remainder when r(u) is divided by 13.
6
Suppose a = -a - 5*s - 11, s - 7 = -5*a. Suppose -g = 3*g - 4*n - 20, 4*g - 23 = 5*n. What is the remainder when 71 is divided by 82/2 - (a + g)?
34
Suppose -5*b - 60 = -0*a + 3*a, 4*b + 41 = -a. Let q = 15 + b. Calculate the remainder when 16/1 + 0/3 is divided by q.
4
Let f(g) be the second derivative of g**4/4 - 5*g**3/3 + g**2/2 - 10*g. Calculate the remainder when f(4) is divided by 6.
3
Let f be (-1)/((-300)/(-99) - 3). Let j = 4 - f. Suppose 0 = -5*w + 25, -4*h - 5*w = -36 - 29. What is the remainder when j is divided by h?
7
Let i = 2 + -38. Let r = -33 - i. Suppose 6*l = r*l + 153. Calculate the remainder when l is divided by 13.
12
What is the remainder when (80/200)/((-418)/210 + 2) is divided by (-6)/(((-6)/5)/3)?
12
What is the remainder when 59 is divided by ((-376)/18 + 4/(-36))*-1?
17
Let h(d) = 2*d - d + 5*d - 2*d + 3. Let m(b) = 4*b + 2. Let p(i) = 4*h(i) - 5*m(i). What is the remainder when 52 is divided by p(-4)?
16
Let v be (-4*1)/(6/(-3)). Suppose v*l - 5*i - 45 = 2, 50 = 5*l + i. What is the remainder when 28 is divided by l?
6
Let i = 113 + -102. Suppose i*h - 392 = -62. What is the remainder when 118 is divided by h?
28
Suppose 5*p + 133 = 18. Let r = p - -41. Let m(j) = j**2 - j - 7. What is the remainder when m(-6) is divided by r?
17
Suppose 103*p - 21720 = 43*p. Calculate the remainder when p is divided by 129.
104
Let i = 59 - -16. Let p be 1/(-1 - (-4)/5) - -2. Calculate the remainder when i is divided by ((-57)/(-6))/(p/2 + 2).
18
Calculate the remainder when 570 is divided by (-1562)/(-213)*(2 - -1).
20
Let o = 277 + -271. Let l(p) = -p**2 + 5*p + 8. Let m be l(6). Suppose z + 2*b = 27, -2*b = m*b - 20. Calculate the remainder when z is divided by o.
5
Let r = -5 + 15. Let w(i) = -31*i + 32. Let q(l) = 21*l - 21. Let o(t) = -7*q(t) - 5*w(t). Calculate the remainder when o(5) is divided by r.
7
Suppose -k = -38 + 20. Calculate the remainder when 106 is divided by k.
16
Let c = 3 - 2. Let o(w) = 34*w - 1. Let p = -1 + 13. What is the remainder when o(c) is divided by p?
9
Let s = -873 + 1035. Calculate the remainder when s is divided by 42.
36
Suppose 2*s - 6 = 0, 6*s + 165 = 3*g + 11*s. What is the remainder when g is divided by 14?
8
Let l = -5 - -10. Let a = l + 12. Suppose -5*m + 2*r + 70 = 0, r - 4*r - a = -2*m. What is the remainder when 31 is divided by m?
15
Suppose 126 = 257*r - 243*r. Calculate the remainder when 94 is divided by r.
4
Let z = 15 - -7. Suppose -q + b = 0, q - b = 2*b. Suppose 5*o - 60 = -q*o. Calculate the remainder when z is divided by o.
10
Let y = -59 - -79. Suppose 120 = 5*f - y. What is the remainder when 137 is divided by f?
25
Suppose 52*k - 7290 = 25*k. Calculate the remainder when k is divided by 38.
4
Let m = -1239 + 1284. What is the remainder when m is divided by 35?
10
Suppose 0 = 3*r - 6, -650 = -4*z - 59*r + 64*r. What is the remainder when z is divided by 19?
13
Let x(q) = -9 + 8*q - 5*q + 2. What is the remainder when 74 is divided by x(6)?
8
Calculate the remainder when 85 is divided by (-5 + 12)*4 + -10.
13
Suppose 5*p + t = -215, 89 = -0*p - 2*p - t. Let f = p + 49. Suppose 4*a = -2*x - a + 70, x = 4*a + 9. What is the remainder when x is divided by f?
4
Let t be ((-3)/(-1))/(0 + 1 + 0). Suppose 0 = -t*x + 3*w - 6*w + 18, 3*x + 2*w = 21. Calculate the remainder when 17 is divided by x.
8
Let v(k) = -9*k - 174. What is the remainder when 65 is divided by v(-21)?
5
Suppose 0 = -3*y - 3*l, -5*l - 25 - 15 = -5*y. Suppose -a - 4 = 0, -4*m + 5*m - y*a = 31. What is the remainder when m is divided by 4?
3
Let l = -471 + 684. Calculate the remainder when l is divided by (-19)/(209/(-242)) - -14.
33
Let g(t) = t**3 - 10*t**2 + 3*t. Suppose -4*k - 5*o = k - 55, -4*k = 5*o - 44. Calculate the remainder when g(k) is divided by 52.
50
Suppose 3*o = -2*u + 168, 81 + 178 = 3*u + o. Calculate the remainder when u is divided by 15.
12
Let m(o) = -3*o + 13. Let t be m(6). Let k be (2/t)/((-7)/70). Suppose 0 = j - k*r - 3 - 12, -18 = -j + r. Calculate the remainder when j is divided by 11.
8
Suppose 5*t + 40*l = 43*l + 13, -4*l - 4 = 0. Suppose -5*y + 6 = 2*f, -7 = -5*y - f - 4. Suppose -2*g = -y*g - 6. What is the remainder when g is divided by t?
1
Let l = 38 - 78. Let a = -29 - l. What is the remainder when 32 is divided by a?
10
Let r = 16 + 1. Let d(y) = -14*y + 19. Let g be d(6). Let z = g - -71. What is the remainder when r is divided by z?
5
Let h(s) = s**3 - 4*s**2 - 60*s + 281. Let z = 79 + -28. Calculate the remainder when z is divided by h(5).
3
Let w(t) = 3*t**2 + 2*t + 1. What is the remainder when (-680)/(-8)*(-2)/(-10) is divided by w(-2)?
8
Suppose 0*u + 4*u - 20 = 0. Suppose -
|
{
"pile_set_name": "DM Mathematics"
}
|
6/(-8)*(-41)/(-246)*12/(-52)*8?
26
(1776/(-18204)*(-123)/6)/((6/118)/3)
118
What is (0/(1008/48))/(-5)?
0
What is ((-2112)/80)/(-33)*(-45)/702?
-2/39
(-1950)/(-520)*(-48)/((-3)/1)*-1
-60
What is 393050/4492*(-2)/(-21)?
25/3
Calculate (2848/(-2136))/((-19)/(-19)*(-1)/30).
40
Evaluate (-377)/6032*(-80)/85.
1/17
Calculate (540/140)/((-21)/49).
-9
What is 52/((-3536)/561)*48/18?
-22
Calculate -2*(48/(-7))/((-3912)/10269).
-36
Calculate 41/6*(-1290)/(-215).
41
Evaluate 6/(2/(-18)*13*5/((-975)/(-90))).
-9
What is the value of (10/(-52))/(((-25)/120)/(125/375))?
4/13
Evaluate 102*((-1)/2)/((-433)/433).
51
Evaluate 21/945*-5*(27531/14)/19.
-23/2
((-747)/(-498))/(-3*10/(-2))
1/10
(5/(-25)*-5)/(18/11160*31)
20
Evaluate -6*(-10)/(-25)*((-440)/(-24))/(40/(-90)).
99
What is the value of 4/13*6721/23782?
2/23
What is (-37)/(-25308)*-4*-18?
2/19
What is the value of 15*36*(-1)/(-1980)?
3/11
Calculate 8190/4830*(-391)/(-51).
13
What is 6/(-10)*20140/1272?
-19/2
What is the value of ((-20080)/(-45180))/(1/(-9)*230)?
-2/115
What is (((-1450)/(-260))/(-29))/(65/(-312))?
12/13
What is the value of (6/(-8)*11/(561/136))/(22/2)?
-2/11
Evaluate (289/204)/(-17)*(-45)/(-3)*(-36)/990.
1/22
What is the value of (66/90)/11*(-47325)/(-8203)?
5/13
Calculate ((5/(-24))/(68300/(-16392)))/(53/5).
1/212
What is the value of 1*((35/(-20))/7)/4*84/(-21)?
1/4
Evaluate (440/(-990))/(4/(-8)*-1).
-8/9
(-3)/(59/(96760/120))
-41
What is (9*5/(-25)*-5*(-30)/(-675))/(-30)?
-1/75
What is the value of ((810/(-225))/((-105)/(-50)))/((-6)/(-21))?
-6
What is (24010/686)/(((-9*2)/6)/(-3))?
35
Evaluate (35784/(-4970))/((-9)/(-60)).
-48
Evaluate ((70/(-27))/(840/1008))/((-20)/18).
14/5
Calculate ((-164)/656)/(12/2016*-6).
7
Evaluate (-83)/(35/(-14)*(-314)/(-157)).
83/5
What is (4/((-500)/125*(-14)/(-8)))/3?
-4/21
What is (-100)/24*183/(6039/44)?
-50/9
What is (4355/(13199/197))/((-1*2)/(-2))?
65
Evaluate (62/20)/(99/(-990)).
-31
Calculate 6/2*((1035/150)/23)/((-558)/155).
-1/4
(28/6)/(-102*(-35)/(-80325))
-105
What is the value of (29/725*75)/((-21)/581)?
-83
What is the value of 81/(-36)*20*(-10)/6?
75
What is 6160/20*(1240/50)/(-31)*(-10)/28?
88
What is -54*(-98)/(-8820)*(-5)/(-102)?
-1/34
What is (-42)/(-12)*(-1280)/(-6720)?
2/3
Evaluate ((-100)/(-15))/(2960/444).
1
Evaluate ((-2400)/32)/1575*(-14)/6.
1/9
Calculate ((-57)/(-2))/((-8)/(-3)*(-1431)/7632).
-57
What is the value of 480/75*3/((-324)/90)?
-16/3
What is (5/(-4))/((-258)/3268*(-57)/108)?
-30
What is the value of ((-86)/(-7353)*-19)/(6/(-1728))?
64
Calculate ((-385)/3696)/((-125)/675).
9/16
Evaluate (7/14*21)/(174/(-580)).
-35
Evaluate (502/(-55220)*2)/(1*(-2)/2).
1/55
Calculate (20230/(-289))/((-7)/6).
60
What is (-2544)/30528*(-44)/1?
11/3
Calculate (1980/48)/(39/((-4836)/(-155))).
33
What is (-336)/56*9/2*(-189)/(-243)?
-21
What is 72/(-9)*297/(-32472)?
3/41
Calculate 1103/5515*(-3)/(12/(-700)).
35
What is (-864)/(-64)*(-65)/((-9360)/(-704))?
-66
Calculate 12*(-77)/132132*13*-5.
5/11
What is the value of (((-2)/8)/(3/(-18)))/(47574/7048)*-279?
-62
Calculate 12105/41695*1/(-9).
-1/31
(-1)/((2/1)/2*(-6)/(-3528)*-14)
42
Calculate (3*(-24)/441)/(250/125).
-4/49
303*1*(-68)/(11424/56)
-101
((-66)/(-2148))/((-8272)/(-3008))
2/179
What is ((-1)/(-2))/(26*(-147)/48412)?
-19/3
Evaluate 4/(-49)*3073/(-4390).
2/35
What is the value of (6/84)/((93/14)/31)*-189?
-63
Evaluate (-3*(-7)/(-245))/(((-260)/(-98))/13*21).
-1/50
What is ((-168)/(-28))/(75/(-50))?
-4
Calculate (16/20*168405/618)/2.
109
((-34)/153)/(101722/3258*2/((-4)/2))
2/281
What is (580/(-25))/(51*6/255)?
-58/3
(3*-1)/((76725/(-6160))/(-465))
-112
Evaluate (98/49)/((112/78)/(-14)*(-6)/(-16)).
-52
Calculate -116*((923/(-130))/(-71))/(2/(-5)).
29
Calculate (273008/4228)/(20/35).
113
Calculate -10*10/25*-51*8/16.
102
What is the value of (((-1053)/(-1170))/((-6)/75))/((-2)/(8/3))?
15
((-15)/((-735)/238))/(12/(-21))*6
-51
What is ((63/6)/(-3))/(20/2600*13)?
-35
What is the value of (((-102)/(-289)*102)/(-14))/((-2)/(-14))?
-18
What is the value of 264*40/7040*13/(-3)?
-13/2
What is ((-21910)/(-1565))/(7/(-168)*3)?
-112
What is ((-132)/62)/(1699/(-52669))?
66
What is (54/4)/((-79515)/(-43586))?
37/5
Evaluate (((-36)/(-28))/9)/((-576)/384).
-2/21
Calculate (((-6)/(-10))/3)/(1*((-1295)/37)/595).
-17/5
What is the value of -2*(-6228)/(-1038)*((-25)/(-6))/5*7?
-70
(-600)/(-800)*2/(-294)*-2
1/98
What is ((-2)/(-6))/((-4759)/(-271263))?
19
What is 227/(17479/(-2310))*(-6)/(-15)?
-12
((-42)/35)/((-372)/4650)
15
What is (-29)/435*(-203)/(-145)*15?
-7/5
What is (-2)/(60/(-100)*(-9)/(-468)*(-140)/21)?
-26
(36/(-32))/((-181434)/10996)
3/44
What is the value of ((-8864)/31024)/(4/(-742))?
53
Evaluate -8*54/864*18.
-9
Calculate 623/(-42)*12/(-8)*29/(348/48).
89
((8/140)/((-46)/(-2898)))/(((-14)/(-10))/7)
18
What is ((-12815)/(-1864))/((66/(-16))/(-33))?
55
-7*(-1)/3*285/95
7
Evaluate ((-10)/4)/(3/33*(-3014)/411).
15/4
((42/120)/(-7))/((-25)/((-2800)/154))
-2/55
What is the value of 4*15/3*(-310)/(-124)?
50
Calculate (-6*6/(-648))/(2/((-280)/(-35))).
2/9
Calculate (450/105*(-27)/30*-4)/(158/(-553)).
-54
914185/(-19246)*2/1
-95
Evaluate (98/7)/((-10)/(-4)*(-392)/980).
-14
48/27*(-147)/(-196)*(-3)/72
-1/18
Calculate (-30)/(-9)*1704/1420*(-1)/98.
-2/49
What is (1/((-39)/(-6)))/((-154)/((-1100)/(-50)))?
-2/91
What is the value of -2*26/20*(-1)/(-2)*(-300)/(-10)?
-39
Evaluate (11438/129)/(-38)*1971/(-63).
73
Evaluate (((-1710)/12)/(-19))/((-129)/258)*(-2)/114.
5/19
Calculate (-13)/((-390)/(-20))*(-8)/(-11600)*(-150)/20.
1/290
Evaluate 5/((-30)/(-1))*(-37)/(555/(-84)).
14/15
Evaluate (9/(22/(-396)*6))/((-3)/(12/4)).
27
What is ((-45)/4)/(3669/(-24460))?
75
Evaluate (4*(-80)/(-20))/((-28)/14).
-8
What is the value of ((-2)/(((-1)/(-2))/(1/4)))/((-295)/(-7375))?
-25
-1*(-59)/((-20296)/43)
-1/8
Evaluate 297*(287/(-37884))/((-3)/108).
81
8*((-5)/(-6))/((-5115)/27621)
-36
Calculate ((-528)/(-143))/((-15)/(-156)*840/525).
24
Calculate 43*((-1)/(10/((-180)/9)))/(22/(-11)).
-43
((-6)/28*4/(-3))/(222870/(-6118))*5
-2/51
Calculate (-378)/(-4662)*629*(-24)/(-68).
18
420/336*100/(-5)
-25
What is ((1958/847)/(-89))/(36/(-21))?
1/66
What is the value of ((((-405)/9)/15)/2)/(3/(-24))?
12
Calculate 12/(-2)*(-91)/2275.
6/25
What is the value of ((-4)/(-20))/((24/(-11070))/(-5*36/135))?
123
What is (-204)/16*((-9)/(-21))/(603/3752)?
-34
Calculate (((-132)/11)/132*-33)/(30/(-10)*-11).
1/11
((90/300)/((-18)/(-4))*18)/((-612)/120)
-4/17
Calculate 3534/31*(-4)/(-14)*((-2268)/(-48))/(-27).
-57
Evaluate ((-3)/12)/((-8)/(-2624))*13*(-12)/(-312).
-41
Evaluate (68870/388)/(160/64).
71
Evaluate ((-16)/(-21)*(-373)/32824)/(3/21).
-2/33
What is -1*3/222*4*33*36/2376?
-1/37
What is the value of ((-22)/44)/((-402)/(-70752))?
-88
Evaluate ((-220)/(-66))/(12/(-258))*(-39)/65.
43
What is (284/(148816/(-6550)))/(((-2)/(-4))/1)?
-25
What is (((-1275)/170)/3)/(10/104*-1)?
26
Evaluate (25/1950*2)/(6/18)*2/2.
1/13
Calculate 806*63/34398*21.
31
(-84)/(-8505)*-9*(-10)/(-18)*(-8)/16
2/81
What is ((-39)/(-1365)*-14)/((-26)/(-4875))?
-75
What is 19/(19684/74)*14/16?
1/16
(752/12*-17*(-20)/1360)/(4/12)
47
Evaluate 13/5*(-19*15/3135)/((-1)/55).
13
Evaluate (9/(-12))/((-954)/424)*-15.
-5
What is ((1728/(-225))/16)/(((-4)/660)/((-13)/(-117)))?
44/5
What is ((-2)/(-2))/((-43)/(66650/50))?
-31
What is (-864)/420*(-2758)/1182*(-30)/(-2)?
72
((-4)/3)/(228/5814)*(-6)/3
68
What is (9*48/(-432))/(3/(-1))*9/(-9)?
-1/3
What is the value of ((8/(-12))/(948/1422))/(51/21)?
-7/17
What is the value of (3/4)/((-114)/(-2660))*(-9)/(90/(-8))?
14
What is the value of (-4)/12*(-40620)/677?
20
What is the value of ((-88)/12)/((-68)/(-170)*(-15)/36)?
44
Evaluate 220*(-190)/152*2/(-10).
55
(-15)/(-459)*(-756)/(-630)
2/51
What is (-4)/((21868/(-33))/71)?
3/7
What is the value of (2/(-5))/((-382)/2865*(-3)/19)?
-19
Calculate 18*((-4)/(-24)*36/(-24))/(17/34).
-9
Evaluate (1375/(-15))/55*-30.
50
((-1*(-6)/(-10))/((-6046)/15115))/(2/44)
33
What is (((-12)/136)/3)/(((-26)/(-117))/((-36)/27))?
3/17
Calculate (-11313)/419*2/2.
-27
What is the value of ((-8778)/(-17689)*19)/((-1)/(7/(-10)))?
33/5
Calculate (160/(-3600))/(3/(-297)).
22/5
Evaluate -1*-28*(-7)/49*(-21)/(-28).
-3
Evaluate (330/(-12))/((1/(-8))/(-18*19/(-1368))).
55
Calculate ((-2)/(-8))/(160/(-768))*15/156.
-3/26
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
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