text stringlengths 270 8.19k | meta dict |
|---|---|
j?
True
Suppose -4*d + 140 = 4*m, 3*d - 7*d + 135 = 5*m. Let w be 3*d/(-12) + 4. Which is smaller: w or -1?
w
Let m = 0.3 + -0.2. Let n = -36 + 9. Let h = 28 + n. Do m and h have different values?
True
Suppose -l + 3*z - 5 = 5, 4*z = 16. Suppose -2*j = -5*j. Suppose -2*k - 3*t - 4 = j, k - 17 + 8 = 4*t. Is l smaller than k?
False
Let x be 18237/(-42) - 6/(-16)*-4. Let i = x - -435. Which is smaller: -1 or i?
-1
Suppose 0 = -2*q + 2*j - 176, -8*q + 6*q = 4*j + 170. Let u = q - -88. Which is greater: 9/4 or u?
9/4
Let x = 239/623 - -4/89. Is x > 0?
True
Let o(h) be the first derivative of h**4/12 - h**3/6 + h**2/2 - 12. Let a(r) be the second derivative of o(r). Let q be a(0). Which is bigger: q or 2/15?
2/15
Let r be ((-24)/156 - (-189)/(-39)) + 8. Which is smaller: -90 or r?
-90
Let r(o) = 23*o - 67. Let c be r(3). Which is greater: 14/9 or c?
c
Let p = 27 + -23. Suppose -p*a + h + 21 + 1 = 0, 2*a + 2*h - 16 = 0. Let l(n) = n**2 - 8*n + 12. Let t be l(a). Are t and -0.06 unequal?
True
Let q be 8/(-16) - 14/(-4). Suppose -3*s = -2*s - 2*b + 9, -q*s + 28 = 5*b. Is s greater than or equal to 3?
False
Suppose 2*o = 5*f - 82 + 13, -5*f + 63 = -4*o. Let q = 15 - f. Let b be (5 + q)*(-4)/50. Which is greater: b or 1/3?
1/3
Let c(j) = -j**2 - 3*j - 2. Let n be c(-4). Let h be (((-4)/n)/2)/(2/(-6)). Which is smaller: h or 2/217?
h
Let p = 45.6 + -123.4. Let u = p + 78. Is u >= -12?
True
Let u = 18 + -26. Let o be ((-6)/8)/(33/u). Is o less than or equal to -1?
False
Let b = -328 + 330. Is b > 13?
False
Suppose 0 = 5*f + 11 + 74. Let z = 47 + -66. Which is bigger: f or z?
f
Suppose -4*q - 70 = -9*q + 5*v, -2*q = 2*v - 28. Let f be 4/(-14) - ((-438)/q + 1). Which is greater: f or 31?
31
Let k be (-8 + -2)*4/8. Let p(x) = x**3 + 6*x**2 + 5*x - 2. Let z be p(k). Let c be z/(-2) - (-52)/4. Which is greater: 13 or c?
c
Let f be 2/(-7) - 774/(-63). Let m = 1 - f. Let j = m + 11. Which is smaller: 1/26 or j?
j
Let z = -5.2 + 8.5. Let g be (10/(-35))/((-16)/28). Is g bigger than z?
False
Let u = -1262 - -169109/134. Let k = -333/268 - u. Is k at least 3?
False
Let m be (-9)/18*(1 - 11). Let y = m + -7. Let r be 6/(-32)*(-42)/(-7). Which is smaller: r or y?
y
Suppose 3*w - 82 = -2*y + 122, -y + 107 = -w. Which is smaller: y or 423/4?
y
Let a = 102 - 59. Let c = -48 + a. Which is bigger: 2 or c?
2
Let f = -2/29 - 129/232. Which is greater: -1 or f?
f
Let r(k) = 2*k**2 - 13*k + 3. Suppose -d = 2*b - 2 - 5, -5*b = 2*d - 15. Let a be r(d). Which is smaller: -13 or a?
-13
Let j = 0.108 - 1.316. Let h = j + 0.208. Let n be 42*(-1 + 3/2). Which is smaller: h or n?
h
Let k = -13210/3111 - -2/183. Which is greater: -4 or k?
-4
Let z = 2530 + -2530.45. Which is smaller: 6/13 or z?
z
Let b be 4 + 2 + (-210)/37. Does -1 = b?
False
Let u = 1459/418 - -2/209. Which is greater: 5 or u?
5
Let u be (-33)/(-2)*(2 + (-112)/24). Do -50 and u have different values?
True
Let w = 0.1164 + -11.1164. Is w >= 53?
False
Suppose -1 = -4*y + 3. Let p be 8/(1 + -2)*-1. Is y <= p?
True
Let v = -61 - -90. Let r = 29.1 - v. Which is bigger: -1.4 or r?
r
Let s be (-2)/(-10) + 2349/405. Which is bigger: s or 50/9?
s
Let m be ((-1392)/84)/(590/4). Let z = -10/59 - m. Let g be 0/(2/1)*1. Is g <= z?
False
Let s be (-2 + 3)/((-3)/21). Let m be s/(21/(-6)) + -2. Suppose 2*u + 6 = -m*u. Is -1/4 bigger than u?
True
Let a = 22986/2147 + -282/113. Is a < 9?
True
Suppose g - 34 = 2*q, 0 = 5*q - 3*g + 2*g + 79. Is -0.1 not equal to q?
True
Let r be 4 + (193/2)/(10/1). Let i = r + -49/4. Is i at least as big as 0?
True
Let o(u) = u**2 + u - 6. Let h = -28 + 31. Let k be o(h). Is k < 6?
False
Suppose 0 = 3*c - 2*c - 17. Let s = 15 - c. Is s greater than 0?
False
Let z = 403 - 218. Is z at least 185?
True
Let i = 11.82 + -12. Let j = i - -0.18. Let l = -3 - j. Are l and 0.2 nonequal?
True
Suppose -10 = -4*k - k. Suppose -k*g = 3*l - 12, -3*l - 63 = -4*g - 3. Let y be (-19)/2 + 18/g. Is -7 smaller than y?
False
Let u(i) = -i - 14. Let d be u(-19). Suppose 8 = d*o + 3. Is o bigger than 9?
False
Let i = 33556/51 + -658. Is -1 greater than i?
False
Suppose -5*c = r + 2*r - 11, -c - 2*r = 2. Suppose c*m = 6 + 2. Let l be 0/11 - m/2. Is l < -4?
False
Let l = 22 - 19. Suppose -i - 4 = -2*u, -i - 1 = l*u - 2. Is u at most as big as -1/46?
False
Let y be (0 - -5) + 0/3. Let p be -3 + 1 + (y - 3). Let w = -125/2 - -1373/22. Which is greater: w or p?
p
Let h(m) = m**2 + 4*m + 5. Let x be h(-3). Let o be 0 + -3 - (x - 33). Suppose i = 5*i + o. Do -5 and i have the same value?
False
Let s = 2 + -3. Let t be -2 + (-5 + 3)*42. Let h = 84 + t. Which is greater: h or s?
s
Let t = -1149 + 1111. Which is greater: 4 or t?
4
Suppose -10 = 5*f - 55. Let t = f + -23. Is -13 at most as big as t?
False
Let q = -108 + 110. Suppose -q*h = h + 5*d + 36, 0 = 2*d. Is -11 <= h?
False
Let w(a) = -9*a + 41. Let p be w(-17). Which is smaller: 195 or p?
p
Let v(b) = 4*b**2 - 2*b + 3. Let k be v(-2). Let x = k - 24. Let o = -21/2 - -103/10. Which is greater: x or o?
o
Let d = 77161982/1819 - 42420. Is 1 greater than d?
True
Let s be 1*((-11395)/(-2275) - 5). Which is smaller: s or 0?
0
Let g = 202 + -199. Is g less than 399?
True
Let y be (9 - 1327416/66372) + 11. Is -1 less than y?
True
Let i(y) = 5*y - 8. Let v = 57 - 64. Let s be i(v). Is s not equal to -43?
False
Suppose 53 = -4*v + 3*z, 5*v + 2*z + 60 = 7*z. Which is bigger: -15 or v?
-15
Let u = -518 - -516.1. Which is smaller: u or -11/9?
u
Let i(c) = c**3 + 9*c**2 + 8*c - 5. Let a = -4 + -4. Let p be i(a). Let u(d) = -d**3 - 6*d**2 - 5*d. Let w be u(p). Which is greater: -2 or w?
w
Let q(y) = y**2 + y - 19. Let c be q(4). Which is bigger: 1/1429 or c?
c
Let n = 23 - 37. Which is smaller: -1/3 or n?
n
Let w be (-3)/1 + 0 - -3. Suppose 9 = -3*k + 5*t - w*t, 9 = 3*t. Let g = -14 + 19. Which is bigger: g or k?
g
Suppose -z - 3*z = -4*y - 16, 4*y + 5*z = 20. Suppose 0 = -3*g - 5*q - 11, -3*g + 25 = -y*q - 4*q. Suppose -u + 7 = j, 5*j - 39 = -0*u - g*u. Is j at most 8?
False
Let j = -0.22 - 2.18. Let c = j - -2.5. Let g = -1/67 + -62/335. Which is greater: g or c?
c
Let p = -35 - -43. Suppose -p = -6*f - 176. Let x be 1005/(-35) + (-4)/14. Is x smaller than f?
True
Let r = 1.93 + -2.1. Let y = 0.25 + r. Which is bigger: y or 0.1?
0.1
Suppose s = -10*t + 11*t - 289, 4*s + 1171 = -t. Which is smaller: s or -293?
-293
Let d(i) = -i**3 + 10*i**2 + i - 2. Let a(l) = -3*l**3 + 41*l**2 + 5*l - 8. Let x(p) = -2*a(p) + 9*d(p). Let j be x(3). Does j = -15?
False
Let d be (-10)/15*(-60)/(-8). Let t be d/(180/8)*3. Is t < -0.4?
True
Let t = -257 - -772/3. Is -7/8 <= t?
True
Suppose 10 = -2*q, 0 = -4*m + 5*m + 3*q. Suppose 4*o - 2*t - 6 = 0, -5*o - m = -o + 5*t. Let n be ((-2)/39)/(3/9). Which is bigger: n or o?
o
Suppose -170*v + 151*v = 1862. Which is smaller: 1/2 or v?
v
Let c(s) = -s**3 + 30*s**2 - 46*s + 74. Let i be c(28). Is 354 at most i?
True
Let t(n) = -16*n - 122. Let s be t(-25). Is 278 equal to s?
True
Let y = 28 + 34. Let n = y + -62.8. Let c(v) = v. Let u be c(-1). Is n at least u?
True
Let v = -8 - -5. Suppose 11*z - 7 + 20 = -31. Which is smaller: z or v?
z
Suppose 0 = a - 2*t - 11, 0*t - 3*t = 0. Suppose -a*o = -4*o - 70. Let k = 12 - o. Does k = 3?
False
Suppose -j + 7 = -0*j. Suppose -5*x + 16 = -j*x. Is x > -10?
True
Let p = 37 + -554/15. Is 1 equal to p?
False
Let m be 1 + -4 - (16/6 - 4). Is m greater than or equal to 1?
False
Suppose 8*a + 4*x + 20 = 13*a, 0 = -a - 4*x - 20. Which is smaller: 3.5 or a?
a
Let j = 1/1575 - 5734/1589175. Is j at most 1?
True
Let g = 98 + -50. Suppose 9*v - g = 3*v. Suppose 2*s = 4*w + w - v, 4*w = -2*s + 10. Is 1/21 greater than s?
False
Let p = -897 - -898. Let y = -50 - -30. Is y >= p?
False
Let g be 1/(-7) - (-299)/182. Is -6 > g?
False
Suppose 7*p - 360 = 12*p. Let l be (2072/(-102))/((-4)/p). Let m = l + 366. Which is smaller: 1 or m?
m
Suppose -22 + 62 = -20*l. Does l = 148?
False
Let r = 544/13 + -16838/403. Which is bigger: -0.7 or r?
r
Let j = -9 + 15. Suppose 0 = 2*u + t + j, 2*t = -3*t + 10. Let w(k) = k**3 + 3*k**2 - k + 5. Let g be w(-4). Is g greater than or equal to u?
False
Let b(v) = -v**2 - 16*v - 9. Let u be b(-16). Let n be 3/(-9)*u - 10. Let s be (n/(-4))/(18/144). Are 14 and s unequal?
False
Let n be 3/(9/26)*(-3)/(-2). Supp | {
"pile_set_name": "DM Mathematics"
} |
What is the fourth smallest value in 0.3, -1/4, -3, -0.1282?
0.3
Which is the biggest value? (a) 2.7 (b) 5 (c) 458
c
What is the third biggest value in -1/12, 157, 5, -5, 9, 13?
9
Which is the second biggest value? (a) -2/17 (b) -13 (c) 3 (d) 9 (e) 1/2
c
Which is the biggest value? (a) -0.06 (b) 90/11 (c) 0.11 (d) 14 (e) 4
d
Which is the second smallest value? (a) -0.4 (b) 1830 (c) -56.8 (d) 5 (e) 3
a
Which is the biggest value? (a) -6/7 (b) -1 (c) -1.22
a
Which is the smallest value? (a) 3/5 (b) 94 (c) 48 (d) -2 (e) -5 (f) -0.2
e
What is the second biggest value in 61/4, -1/4, 31, 22/7?
61/4
What is the smallest value in 5, 5211, 2/13?
2/13
Which is the fourth smallest value? (a) 4/5 (b) 0.1 (c) -2/7 (d) 5396 (e) -4
a
What is the fourth smallest value in -5/4, 0, 566, -0.5?
566
Which is the biggest value? (a) -323/4 (b) 0.5 (c) -5
b
What is the sixth biggest value in 1, -1/6, 1/7, -15, 13, -0.3?
-15
What is the fifth smallest value in 0, 5, 69, 1/9, 1/4?
69
What is the second biggest value in 2, -153, -0.007, 0.07?
0.07
What is the second biggest value in -25, -2, 1786?
-2
What is the third biggest value in 0, 1/3, 3, -1/5, -0.014?
0
Which is the sixth biggest value? (a) 0.1 (b) 2/3 (c) -2/7 (d) -20/9 (e) -0.4 (f) 52
d
What is the smallest value in 3, -3, -89, -1/2?
-89
Which is the third smallest value? (a) -47 (b) -0.1 (c) -2 (d) -154
c
What is the fourth biggest value in 31, 3, -0.2, 25, -2?
-0.2
Which is the biggest value? (a) 4 (b) 25671 (c) 2
b
Which is the second smallest value? (a) -39 (b) -0.4 (c) 8 (d) 0.1 (e) -1/4
b
What is the third smallest value in -177, 343, 4?
343
Which is the smallest value? (a) 3/2 (b) -0.3 (c) 3/685 (d) 2
b
Which is the fourth biggest value? (a) 1/7 (b) -2/9 (c) -94 (d) -0.5
c
Which is the third smallest value? (a) -0.0969 (b) 33 (c) 0.5
b
What is the fifth smallest value in -5, 5, -0.7, 2, 1, 14?
5
Which is the biggest value? (a) 5 (b) 1 (c) -10 (d) -3 (e) 4 (f) 19
f
Which is the third smallest value? (a) 7 (b) -67 (c) 1044
c
Which is the fifth biggest value? (a) 3 (b) -1 (c) 14 (d) 4 (e) -5/328
b
Which is the second smallest value? (a) 2 (b) 0.5 (c) 73 (d) -0.054
b
What is the third smallest value in -1, 3, -0.05, 0.4, -5.9?
-0.05
What is the smallest value in -12, -4/5, 2/425?
-12
What is the third smallest value in -1/5, -0.6, -4/83?
-4/83
Which is the biggest value? (a) -0.54 (b) 2/65 (c) -4/7 (d) 2/3
d
Which is the biggest value? (a) 3.24 (b) -5 (c) 5 (d) -2/59
c
Which is the fifth smallest value? (a) -2 (b) 3 (c) -6 (d) -0.3 (e) 1.2 (f) 0.044
e
What is the third smallest value in -3, 0.165, -1/4?
0.165
What is the second smallest value in 75, -0.3, -9, 2, -1/5, -0.5?
-0.5
Which is the smallest value? (a) 0 (b) 45395 (c) -1
c
What is the second biggest value in -52, -49, 5.7?
-49
What is the fourth biggest value in -0.3, -0.0127, 2/15, -2, -135?
-2
Which is the smallest value? (a) 0.03 (b) -1/2 (c) 4/7 (d) -169 (e) 0.2
d
Which is the second biggest value? (a) 0.62 (b) 1/4 (c) 0.4 (d) -24
c
Which is the second smallest value? (a) 24 (b) -7/9 (c) -27
b
What is the fifth biggest value in 28, 4, 2/9, -8, -0.1?
-8
Which is the smallest value? (a) 4 (b) 0.5 (c) -4 (d) 48 (e) 1/10
c
What is the second biggest value in -2070, 17, 0.03?
0.03
What is the biggest value in 0.08, 1172, 1?
1172
What is the biggest value in 5, -3697, 0.32, -0.5?
5
What is the smallest value in -1333, -8, 2?
-1333
What is the fifth smallest value in -0.3, 0.9, -88, -2, 3?
3
What is the smallest value in 2/29, -2/9, 5, -0.46?
-0.46
What is the fourth smallest value in 3/26, 0.4, -0.9, 804?
804
Which is the second biggest value? (a) 2 (b) -75 (c) -0.046
c
Which is the fourth biggest value? (a) -0.1 (b) -6670 (c) -5 (d) 4
b
Which is the third smallest value? (a) -2604 (b) 9 (c) -7
b
What is the fourth biggest value in 0.22, -1, -0.202, -2, -0.3?
-1
What is the third smallest value in -2, -51/200, 3, 5, 2?
2
What is the second biggest value in -0.66, -5, 0.6, 2/13, 1?
0.6
Which is the fourth biggest value? (a) 4/7 (b) 2 (c) 32.12 (d) -1/4
d
Which is the fourth biggest value? (a) -1 (b) -1/10 (c) -0.87 (d) 4 (e) 1
c
What is the second smallest value in -0.2, -273117, 5?
-0.2
Which is the third smallest value? (a) 0.4 (b) -775 (c) -2 (d) -2/5 (e) -0.2 (f) -2/9
d
Which is the smallest value? (a) 49/423 (b) -4 (c) -0.2 (d) -1
b
What is the second biggest value in 5, -3/8, -3, -16?
-3/8
Which is the fourth biggest value? (a) -6 (b) -1/400 (c) 1/4 (d) -4
a
What is the biggest value in 14, 3, -1, -0.14, -0.4, -0.7?
14
Which is the third biggest value? (a) -585 (b) 0.11 (c) 3/26
a
Which is the fourth biggest value? (a) 4 (b) -1/23 (c) 6 (d) -0.2 (e) 0.05
b
Which is the fourth smallest value? (a) -0.05 (b) -120 (c) 1/3 (d) 4
d
Which is the second biggest value? (a) -36 (b) 1/7 (c) 1/6 (d) -9/5 (e) -0.3 (f) -1
b
Which is the fourth smallest value? (a) -2/139 (b) 0.4 (c) -0.3 (d) -0.23
b
Which is the smallest value? (a) 0.2 (b) -33 (c) 87 (d) -2 (e) -5 (f) -0.1
b
What is the second smallest value in 0.29, 0, -48, 0.5?
0
Which is the second biggest value? (a) 669 (b) 5 (c) 0.103 (d) -0.04
b
Which is the biggest value? (a) 0.31 (b) 0.151 (c) 3 (d) 116 (e) 2/9
d
Which is the fifth biggest value? (a) -0.75 (b) 4/3 (c) -1 (d) -70/13 (e) 2/17
d
Which is the third biggest value? (a) 1 (b) -1432 (c) 8/7
b
Which is the biggest value? (a) 13215 (b) -4 (c) -0.1 (d) 1/8
a
Which is the smallest value? (a) 0.1 (b) -1650 (c) -157
b
What is the biggest value in 0.2, -267/73, 0?
0.2
Which is the fifth biggest value? (a) -3 (b) 5 (c) -0.9581 (d) -0.5 (e) 4 (f) -1
f
Which is the second smallest value? (a) 0 (b) 74/7 (c) 49
b
What is the smallest value in 89, 306, -0.1, -0.4?
-0.4
Which is the second smallest value? (a) -0.021 (b) 0.04 (c) 2/47
b
What is the fourth biggest value in -135, -36, -6.7, -3?
-135
What is the second biggest value in -3, 0.2, 1/6, 135773?
0.2
Which is the second biggest value? (a) -2/13 (b) -308 (c) -1
c
Which is the fifth biggest value? (a) -93 (b) -0.1 (c) 0.6 (d) 1/3 (e) -1/6 (f) 1/6
e
Which is the biggest value? (a) -525 (b) 31/5 (c) 0.03
b
What is the third smallest value in -44, -5, 53, -2, 2/5?
-2
Which is the second smallest value? (a) -2/15 (b) -3 (c) -4 (d) -5/8 (e) -0.3
b
What is the second biggest value in -2/5, -2, 0.1, -0.5, -0.289?
-0.289
What is the second smallest value in 1/3, -48/37, 4, 0.1, -19?
-48/37
What is the fifth biggest value in -0.3, -3/5, 0.09, 1/8, 0, -1?
-3/5
Which is the fourth biggest value? (a) 2.4 (b) 5 (c) -36/61 (d) -1
d
What is the third smallest value in 0.24, 6, -2/4251?
6
Which is the fourth biggest value? (a) -5 (b) 0.14 (c) -48 (d) 1/21
c
What is the fifth biggest value in -177, -1/9, -0.2, 0.1, 8/7?
-177
Which is the smallest value? (a) -0.07 (b) 25 (c) -0.5 (d) -8/7
d
What is the fifth smallest value in 11/3, 0, 0.175, -0.02, 0.2?
11/3
What is the second biggest value in 0, -0.06, -2, -174/11, 0.144?
0
Which is the third biggest value? (a) 0.2225 (b) 0 (c) 27 (d) -1
b
Which is the third smallest value? (a) 0.2437 (b) 3 (c) 2
b
Which is the third biggest value? (a) -1 (b) -2/13 (c) -61 (d) -2/3 (e) 2/11
d
What is the second biggest value in -3967, 39, -5?
-5
What is the third biggest value in 1/4, -0.1, 1/6, -1/4, -5/2?
-0.1
Which is the second smallest value? (a) 4611 (b) -5 (c) 1/9 (d) 0.06
d
Which is the fifth smallest value? (a) 3/4 (b) 0.1 (c) 427 (d) 8/11 (e) 0.4
c
Which is the fifth smallest value? (a) 3.01 (b) -3 (c) 14 (d) 2/7 (e) -18
c
What is the fifth smallest value in 2/37, -16, 0, 5, -1/3?
5
Which is the third smallest value? (a) -0.04473 (b) 0.2 (c) -0.4 (d) -0.3
a
What is the third smallest value in 3/2, 2/3, 187, -0.1?
3/2
Which is the second biggest value? (a) -0.5 (b) 2963/3 (c) 0
c
Which is the second smallest value? (a) 3 (b) -2/15 (c) -22 (d) 1 (e) 1/72
b
What is the fourth smallest value in 5/6, 1, -6.59, 3?
3
What is the second biggest value in 0.9, 0.1745, 0, -1/3, 1/3, -3?
1/3
What is the fift | {
"pile_set_name": "DM Mathematics"
} |
ers picked without replacement from zzenznn?
9/35
Two letters picked without replacement from {s: 7, p: 3, h: 3, w: 2}. Give prob of picking 2 w.
1/105
Two letters picked without replacement from jgddrjdd. What is prob of picking 1 j and 1 d?
2/7
Two letters picked without replacement from zzlzzlflf. What is prob of picking 1 l and 1 f?
1/6
Four letters picked without replacement from rrrrrrrkrgkgrrk. Give prob of picking 2 k and 2 r.
9/91
What is prob of picking 2 i when two letters picked without replacement from siu?
0
Calculate prob of picking 1 x and 1 v when two letters picked without replacement from vvvbxxvxvvxxkkxbbkb.
4/19
What is prob of picking 3 f when three letters picked without replacement from ffffffffffdfddfdfff?
455/969
What is prob of picking 1 w and 2 r when three letters picked without replacement from rwrbwwwrfjfjpr?
6/91
Three letters picked without replacement from hhhhhhh. Give prob of picking 3 h.
1
Calculate prob of picking 1 v and 1 c when two letters picked without replacement from gvcgc.
1/5
Three letters picked without replacement from {i: 7, v: 3, l: 2}. Give prob of picking 2 l and 1 v.
3/220
Four letters picked without replacement from {x: 2, y: 2, k: 2, s: 2}. Give prob of picking 2 k and 2 y.
1/70
Two letters picked without replacement from {k: 5}. What is prob of picking 2 k?
1
Four letters picked without replacement from {u: 1, s: 3, e: 12}. Give prob of picking 3 e and 1 s.
33/91
Calculate prob of picking 1 m and 3 w when four letters picked without replacement from kwwwmkumwuuuwwm.
4/91
Two letters picked without replacement from qbzzecjq. Give prob of picking 1 j and 1 e.
1/28
Two letters picked without replacement from vvgg. What is prob of picking 1 v and 1 g?
2/3
What is prob of picking 1 z and 1 d when two letters picked without replacement from {r: 1, d: 11, o: 4, u: 1, z: 2}?
22/171
Four letters picked without replacement from {n: 3, d: 12}. What is prob of picking 2 d and 2 n?
66/455
Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {i: 2, n: 1, p: 7, v: 2, q: 1, r: 1}.
2/91
What is prob of picking 4 c when four letters picked without replacement from {u: 2, c: 9}?
21/55
Two letters picked without replacement from {r: 2, d: 3}. What is prob of picking 1 d and 1 r?
3/5
Two letters picked without replacement from {x: 2, u: 1, e: 1, r: 4}. Give prob of picking 1 e and 1 x.
1/14
Four letters picked without replacement from kkyttft. What is prob of picking 1 f, 2 k, and 1 t?
3/35
Four letters picked without replacement from {s: 6, j: 12}. What is prob of picking 4 j?
11/68
Two letters picked without replacement from edudeu. What is prob of picking 2 u?
1/15
Calculate prob of picking 1 g and 1 d when two letters picked without replacement from nngbssgndgin.
1/22
Calculate prob of picking 2 v and 1 g when three letters picked without replacement from {x: 1, z: 3, g: 4, m: 1, v: 2}.
4/165
Calculate prob of picking 1 i and 1 a when two letters picked without replacement from issaiq.
2/15
Two letters picked without replacement from {x: 7, h: 2, a: 4, e: 1}. Give prob of picking 1 x and 1 e.
1/13
What is prob of picking 2 s and 2 e when four letters picked without replacement from aeaieseiseidiisiai?
1/170
Two letters picked without replacement from {d: 3, o: 13}. What is prob of picking 2 d?
1/40
Calculate prob of picking 2 m and 1 y when three letters picked without replacement from {x: 5, y: 1, s: 11, m: 3}.
1/380
Three letters picked without replacement from uneeeuueeueee. What is prob of picking 1 n and 2 e?
14/143
Calculate prob of picking 1 n and 1 t when two letters picked without replacement from ntt.
2/3
Four letters picked without replacement from qqrxqrnxdddrqkq. Give prob of picking 2 q and 2 x.
2/273
Calculate prob of picking 1 y and 2 j when three letters picked without replacement from jygggjygy.
1/28
Two letters picked without replacement from ltlwwwwttwtwt. What is prob of picking 2 w?
5/26
Calculate prob of picking 1 t and 2 p when three letters picked without replacement from {q: 1, p: 6, t: 4, c: 2, m: 2}.
12/91
Calculate prob of picking 2 r and 2 q when four letters picked without replacement from zxrqrjqdzxrr.
2/165
Four letters picked without replacement from {c: 5, n: 9}. What is prob of picking 2 c and 2 n?
360/1001
Calculate prob of picking 3 j when three letters picked without replacement from {g: 3, j: 11}.
165/364
Three letters picked without replacement from bibpzugpu. Give prob of picking 1 p, 1 b, and 1 u.
2/21
Two letters picked without replacement from zzgwgzdzzxzwzggwdd. What is prob of picking 2 w?
1/51
Calculate prob of picking 4 b when four letters picked without replacement from hbhhbfbbbh.
1/42
Calculate prob of picking 1 z and 1 l when two letters picked without replacement from tltzxxtnxtxxtltntnt.
2/171
Two letters picked without replacement from {m: 1, y: 8, g: 2, n: 5, z: 2}. Give prob of picking 2 z.
1/153
Calculate prob of picking 4 h when four letters picked without replacement from hhhwhqww.
1/70
Two letters picked without replacement from kkkkkk. What is prob of picking 2 k?
1
Calculate prob of picking 1 i, 1 j, and 1 u when three letters picked without replacement from {u: 1, o: 3, z: 1, j: 1, i: 1}.
1/35
Calculate prob of picking 3 b when three letters picked without replacement from {b: 7, p: 3}.
7/24
Calculate prob of picking 1 r and 2 y when three letters picked without replacement from rdyyyddjjjykyjdryyy.
56/969
Calculate prob of picking 1 m, 2 j, and 1 v when four letters picked without replacement from mmmmmmmmjmmmmjvjjjmv.
52/969
What is prob of picking 4 p when four letters picked without replacement from {p: 1, d: 2, e: 1}?
0
Three letters picked without replacement from {o: 3, r: 4, b: 2, d: 1, k: 1}. Give prob of picking 1 o, 1 r, and 1 k.
4/55
Two letters picked without replacement from {i: 1, q: 7, e: 1}. Give prob of picking 2 q.
7/12
What is prob of picking 1 y and 1 a when two letters picked without replacement from {s: 1, r: 2, a: 1, y: 2, l: 1}?
2/21
Calculate prob of picking 1 b, 1 z, and 1 k when three letters picked without replacement from {z: 4, g: 8, k: 2, b: 3}.
3/85
Calculate prob of picking 2 p when two letters picked without replacement from ddpxlpxdxpddlptmppdm.
3/38
Calculate prob of picking 1 r and 3 b when four letters picked without replacement from brbbemrrbbbrbrrrbbb.
70/323
Four letters picked without replacement from kzzzzzkzkzz. What is prob of picking 3 z and 1 k?
28/55
Calculate prob of picking 2 i when two letters picked without replacement from jijjijjjjjjjjjjjjj.
1/153
What is prob of picking 2 r, 1 a, and 1 e when four letters picked without replacement from {e: 5, a: 8, r: 2}?
8/273
Two letters picked without replacement from {r: 1, e: 2, x: 1, c: 1, f: 1, u: 2}. Give prob of picking 1 e and 1 c.
1/14
Two letters picked without replacement from {m: 5, b: 2, k: 1, h: 1, q: 7, u: 4}. What is prob of picking 2 q?
21/190
Three letters picked without replacement from {d: 3, k: 4, j: 5, a: 1}. What is prob of picking 2 d and 1 k?
6/143
What is prob of picking 2 k and 1 u when three letters picked without replacement from {k: 5, l: 4, x: 1, u: 3, a: 1}?
15/182
Two letters picked without replacement from nlnn. Give prob of picking 2 n.
1/2
Three letters picked without replacement from {x: 7, u: 5, d: 4, j: 3}. Give prob of picking 3 u.
10/969
Four letters picked without replacement from {z: 4, w: 3, n: 4, x: 1, e: 4}. Give prob of picking 1 x and 3 n.
1/455
What is prob of picking 1 i and 3 s when four letters picked without replacement from {r: 2, z: 4, o: 2, i: 1, s: 3}?
1/495
Four letters picked without replacement from {p: 5, n: 2, h: 7}. What is prob of picking 4 p?
5/1001
Calculate prob of picking 2 o and 1 g when three letters picked without replacement from {d: 1, x: 4, o: 3, g: 4, v: 2}.
3/91
Four letters picked without replacement from yuuuszsuzyfsszuu. Give prob of picking 1 y, 1 f, and 2 z.
3/910
What is prob of picking 2 j when two letters picked without replacement from jjjfqft?
1/7
Two letters picked without replacement from {d: 7, v: 5}. Give prob of picking 2 d.
7/22
What is prob of picking 3 q when three letters picked without replacement from gsqqsgqsqgqqss | {
"pile_set_name": "DM Mathematics"
} |
18. Suppose -12*o = -5*o - 56. Differentiate o + t*p - 2*p + 5 + 4*p wrt p.
5
What is the second derivative of 209*u**5 + 1258*u**5 + 4078*u**5 - 160*u + 221*u**5 wrt u?
115320*u**3
Let t(x) be the first derivative of -x**5/5 - x**4/2 - 713*x**2/2 + 2405*x + 5750. Differentiate t(c) wrt c.
-4*c**3 - 6*c**2 - 713
Let d(u) = u**3 - 6*u**2 - 14*u + 2. Suppose -8*p + 32 = -4*p. Let j be d(p). What is the second derivative of 96*x**2 - 96*x**2 - 3*x**3 + j*x**3 + 8*x wrt x?
90*x
Find the third derivative of -3821*f**2 + 226*f**6 + 3312*f**2 + 731*f**6 wrt f.
114840*f**3
Let q(l) = 1659*l**3 - 878*l**2 - 85*l - 5. Let h(a) = 1660*a**3 - 877*a**2 - 102*a - 6. Let b(s) = 5*h(s) - 6*q(s). What is the third derivative of b(w) wrt w?
-9924
Let x(o) = o. Let q(c) = 54*c - 50. Let b be 4*-3*8/24. Let a(n) = b*x(n) - q(n). What is the derivative of a(h) wrt h?
-58
What is the derivative of -2077 + 4409*p + 3966*p + 4322*p - 65*p wrt p?
12632
Let d(y) = 22*y + 46. Let r be d(-2). What is the third derivative of -55*w**2 - 5*w**5 + 51*w**2 + 204*w**2 + 8*w**r + 138*w**6 + 6*w**5 wrt w?
16560*w**3 + 60*w**2
Let m(a) be the first derivative of -979*a**2/2 + 1325*a + 416. What is the first derivative of m(h) wrt h?
-979
What is the third derivative of 82*t**2 + 92*t**2 - 146*t**5 - 163*t**5 - 41*t**2 wrt t?
-18540*t**2
Let b(g) be the third derivative of 92*g**6/15 - 203*g**3/6 + 351*g**2. What is the derivative of b(p) wrt p?
2208*p**2
Let j = 1783 - 1781. Let n(x) be the first derivative of -1/2*x**4 + 0*x**3 + 17*x**j + 0*x - 12. Find the second derivative of n(m) wrt m.
-12*m
Let h(s) = 30*s**3 - 10*s**2 - 6*s - 389. Let g(m) = 90*m**3 - 27*m**2 - 17*m - 1167. Let t(o) = 6*g(o) - 17*h(o). Find the first derivative of t(n) wrt n.
90*n**2 + 16*n
Let a(d) be the first derivative of -5*d**4/4 - 20*d**3/3 - 2*d**2 + 556*d + 3990. What is the first derivative of a(m) wrt m?
-15*m**2 - 40*m - 4
Let t(u) be the second derivative of 1732*u**4/3 + u**3/3 - 43*u**2/2 + 4*u + 915. What is the second derivative of t(o) wrt o?
13856
Suppose -3*y + 357 = -3*w, -2*y - y = 2*w - 362. What is the first derivative of -784*m**4 + y*m + 28 + 782*m**4 + 2 wrt m?
-8*m**3 + 120
Let p(g) = -2523*g + 141. Let k(c) = 5042*c - 281. Let a(y) = -4*k(y) - 9*p(y). What is the first derivative of a(i) wrt i?
2539
Let n(q) be the second derivative of -4 - 12*q - 38*q**2 - 61/6*q**3. What is the first derivative of n(t) wrt t?
-61
Suppose 0 = -2*k + b + 2, -4*k - 3*b = -4*b - 6. What is the second derivative of o**k - 21*o**2 + 3*o**5 + 70*o - 37*o**2 wrt o?
60*o**3 - 114
Find the second derivative of 163 + 264*z**2 - 290*z**2 + 20*z**5 - 7*z**5 - 5*z**5 + 3*z wrt z.
160*z**3 - 52
Find the first derivative of -41 + 845*s + 362 + 383 - 47 + 1442*s wrt s.
2287
Suppose -5*n = -31 + 6. Find the first derivative of -66 - n*t**2 - 47*t + 7*t**2 + 41*t wrt t.
4*t - 6
Let t(x) be the second derivative of -63*x**3 + 29*x**3 + 63*x**3 - 6*x**2 + 169*x. Find the first derivative of t(s) wrt s.
174
What is the derivative of -9*i**4 + 656 + 1000 - 782*i + 74*i**3 + 782*i wrt i?
-36*i**3 + 222*i**2
Let q(p) = -p**3 + 6*p**2 - 8*p + 2. Let x be q(4). What is the first derivative of -5*g + 6*g**2 - 42 - 5*g**2 - x*g**2 + 15 wrt g?
-2*g - 5
Let s(r) = -2627*r + 3392. Let h(v) = 1314*v - 1681. Let l(y) = -5*h(y) - 2*s(y). What is the derivative of l(k) wrt k?
-1316
Differentiate -1167 + y**2 - 2775*y**3 + 77 - y - 447 + y wrt y.
-8325*y**2 + 2*y
Let a = -18177 + 18177. Let q(w) be the first derivative of a*w**3 + 15/2*w**4 - 12*w + 0*w**2 - 15. Differentiate q(n) wrt n.
90*n**2
What is the second derivative of 8278 + 1624*u**4 - 25*u - 8278 wrt u?
19488*u**2
Let f(k) be the third derivative of 0*k + 5/6*k**3 - 59 + k**2 - 1/4*k**4 - 1/2*k**5. Find the second derivative of f(q) wrt q.
-60
Let z(y) = -247*y**3 - 51*y**2 + 6*y. Let u(h) = -5*h**2 - h. Let l be 12/60 + 3 + 28/10. Let j(w) = l*u(w) + z(w). What is the third derivative of j(k) wrt k?
-1482
Let r = 123 - 177. Let k = r - -60. Differentiate k - 2*v**2 - v**2 + 6*v**2 - 4*v**2 with respect to v.
-2*v
Let c = 146 + -142. Let o(r) be the first derivative of 18 + 0*r**2 + 0*r**c + 0*r**3 + r + 17/5*r**5. Find the first derivative of o(d) wrt d.
68*d**3
Let f = 78 - 88. Let b = f - -12. Find the second derivative of 13*d - 5*d - 11*d**4 - b*d + 26*d wrt d.
-132*d**2
Let b = 500 - 496. Find the second derivative of 4*n**4 + 110*n + n**b - 98*n - 6*n**4 - 7*n**5 wrt n.
-140*n**3 - 12*n**2
Let w(g) = 5611*g**2 + 14*g - 1448. Let x(y) = -11222*y**2 - 35*y + 2895. Let k(z) = -5*w(z) - 2*x(z). What is the derivative of k(q) wrt q?
-11222*q
Let q(n) be the second derivative of -59/20*n**5 - 41/6*n**3 + 1 + 0*n**2 + 0*n**4 - 3*n. Find the second derivative of q(l) wrt l.
-354*l
Let r = 89 - 85. Suppose -r*y = -y - 4*z - 6, y - 4*z = 2. What is the third derivative of 10*c**6 - 28*c**6 + 10*c**y + 9*c**2 wrt c?
-2160*c**3
Let g(h) = -7*h + 44. Let f be g(-2). Differentiate -100*p**4 - 31*p**4 + 31*p**4 - 10 - f wrt p.
-400*p**3
Let h(s) = -6288*s**2 - 88*s + 1. Let l(p) = -18864*p**2 - 259*p + 4. Let n(q) = 19*h(q) - 6*l(q). Find the second derivative of n(w) wrt w.
-12576
Suppose -k - 161 = -5*s, 23 = s - 3*k + 2. Differentiate -145 - 144 - s*g + 99 + 47*g - 3*g**2 with respect to g.
-6*g + 14
Let n(i) be the third derivative of i**7/210 + 371*i**6/120 - 11*i**5/15 - 70*i**2 + 1. What is the third derivative of n(o) wrt o?
24*o + 2226
Let t(u) = -4*u + 43. Let k be t(8). Find the third derivative of -k*z**2 - 11*z**2 - z**2 - 138*z**3 + 2*z**4 + z + 13*z**2 + 3*z wrt z.
48*z - 828
Let q(i) = -5*i - 35. Let o be q(-12). What is the derivative of -o + 5*k - 8*k + 22*k + 80 wrt k?
19
Let g(f) = 8*f - 2. Let k be g(1). Suppose -1 = -k*b + 11. Find the second derivative of 1472*l**2 - 31*l - 1472*l**b + 16*l**4 wrt l.
192*l**2
Let s be ((-1)/(-2))/((-37)/(-222)). Find the third derivative of -4602 + 4602 + 100*u**2 - 51*u**s wrt u.
-306
Let k = 45827/11958 + 2/1993. Let j(l) be the third derivative of -23*l**2 + 0 + 0*l + k*l**3 - 9/8*l**4. What is the derivative of j(x) wrt x?
-27
Let f(y) be the first derivative of -4*y**7/21 + 77*y**4/6 - 13*y + 43. Let o(i) be the first derivative of f(i). What is the third derivative of o(a) wrt a?
-480*a**2
Let v(z) be the third derivative of 0*z - 2*z**3 + 0 + 111*z**2 + 77/30*z**5 + 1/6*z**4. Find the second derivative of v(b) wrt b.
308
Differentiate -316 + 7332*p + 7705*p + 2052*p - 5378*p wrt p.
11711
Let c(v) be the first derivative of 0*v**3 + v**2 + 0*v**4 - 14 - 3*v + 17/20*v**5. Let w(b) be the first derivative of c(b). Differentiate w(d) wrt d.
51*d**2
Differentiate -1662 + 6973 - 1522*m**2 - 26*m**2 - 585*m**2 - 1041*m**2 wrt m.
-6348*m
Let f(d) be the second derivative of -1/6*d**3 + 0 + 119*d - 13/20*d**5 - 62*d**2 + 0*d**4. Differentiate f(y) wrt y.
-39*y**2 - 1
Let i(l) be the second derivative of 65/6*l**3 + 3/14*l**7 + 0*l**6 + 0*l**5 - 4*l + 0*l**4 - 9 + 0*l**2. What is the second derivative of i(j) wrt j?
180*j**3
Let x = 2107 + -2102. Let g(t) be the first derivative of 0*t**2 + 0*t**x + 0*t**4 + 1/3*t**6 + 0*t + 2/3*t**3 - 13. Find the third derivative of g(u) wrt u.
120*u**2
Suppose -4*l + 28 = 4*j, 3*j + 2*j + l - 27 = 0. Suppose -4 = -j*r + 3*r. Find the second derivative of -5*p + 31*p**2 + 29*p**r - 9*p**3 - 60*p**2 wrt p.
-54*p
Suppose 6*z = -0 - 0. Suppose 0 = 2*x - z*x - 4. Find the first derivative of -13 + 43 + 30*f**x - 15 wrt f.
60*f
Suppose m + 142 - 148 = 0. Find the first derivative of -8*c**2 - c**2 + m - 36 wrt c.
-18*c
Let m(c) = 4*c + 26. Let j be m(-6). Differentiate -8*a + 8*a + 38 - 20 + 6*a**j wrt a.
12*a
Let y(l) be the first derivative of -1165*l**6/6 + 2*l**3/3 + 6563*l**2/2 - 1268. What is the second derivative of y(v) wrt v?
-23300*v**3 + 4
Let d(c) = 1149*c**4 - 5*c**3 + 465*c + 30. Let f(w) = -1148*w**4 + 6*w**3 - 467*w - 36. Let t(s) = -6*d(s) - 5*f(s). Find the second derivative of t(p) wrt p.
-13848*p**2
Let c be 102*(((-490)/(-15))/(-7) + 5). What is the third derivative of -c*p**3 - 6*p**3 - 96*p**3 - 213*p**2 - 10*p**3 wrt p?
-876
Find the third derivative of -434 - 137*t**6 - 129*t**6 - 736*t**2 + 734*t**2 - 10*t**6 wrt t.
-33120*t**3
Let u(q) be the first derivative | {
"pile_set_name": "DM Mathematics"
} |
a prime number?
True
Suppose -15*q - 13*q - 114233 + 2043517 = 0. Is q a prime number?
True
Is 26583810/308 + -1*(-2)/(-28) a prime number?
True
Let k(f) = -7058*f + 343. Is k(-2) a prime number?
False
Suppose 92*n + 1465731 = 5738119. Is n a composite number?
False
Suppose 2*n + 5*c + 53 = 3*n, n + 3*c = 37. Suppose -237388 = -n*b + 9*b. Is b prime?
False
Let j(c) = -2*c**3 - c - 93. Let p be j(0). Let t = 7144 + p. Is t a composite number?
True
Let u(h) be the third derivative of -19*h**2 + 0 - 2/3*h**4 + 11/20*h**5 + 1/3*h**3 + 0*h. Is u(-9) a prime number?
True
Suppose 41 = 10*y - 49. Suppose -3*r = -r - 260. Is (r - -1)*y/9 a prime number?
True
Suppose 4*p = 2*s + 1004434, 2*p - 78*s - 502235 = -79*s. Is p a prime number?
False
Suppose -1097985 - 1779153 - 52551 = -189*w. Is w composite?
True
Let s(n) = -12910*n**3 + 34*n + 89. Is s(-3) prime?
False
Suppose -3*a + z = -1457687, 3*z + 1196553 = 5*a - 1232936. Is a prime?
True
Let i be 2 - (-2 - (2397 - -4)/1). Let b = -284 + i. Let k = b + -1400. Is k composite?
True
Suppose -d - 4*d - 2*q + 11799 = 0, -d + 2349 = -5*q. Let z = d + -342. Is z prime?
True
Let d be (-13389)/(-4) + (-10)/40. Suppose 2*i + 5*q - d = 0, -3*i - i = 5*q - 6699. Is i/(-10)*25/(-10) a prime number?
True
Let w(y) = -1752*y + 1393. Is w(-57) a composite number?
True
Let o = -638 - -461. Suppose -2*x = -0*x - 3*d + 127, 0 = 4*x - 3*d + 251. Let p = x - o. Is p composite?
True
Let v = 70133 - -80681. Is v prime?
False
Let d = 576 - -74. Let n = d + 4577. Is n composite?
False
Let n(c) be the first derivative of -34*c**2 + 35*c + 5. Let y be (-31)/4 + 12/16. Is n(y) prime?
False
Is 1/(((-16)/(9 - 1))/(-25414)) a prime number?
False
Suppose 81 - 89 = -l. Is (2874/l)/((-6)/(-136)) prime?
False
Suppose -40*j = -36*j + 20. Let u(t) be the first derivative of -5*t**4 - t**3/3 + 5*t**2 + 4*t - 1. Is u(j) prime?
False
Suppose 4*u - 20 = -3*j, 2*u - j = 8 + 2. Suppose u*y = -2*y. Suppose y*x + 2*x - 54 = 3*k, x + k = 17. Is x a prime number?
False
Let z be 26/4*-8*2. Let t = 648 - z. Let k = -253 + t. Is k a prime number?
True
Suppose 0 = 7*b + 2*b - 81. Suppose -b = -j - 2*j, -3*j + 83254 = 5*g. Is g a composite number?
False
Suppose 6*p - 275300 = 152614. Is p a prime number?
False
Let l = 1347847 - -96072. Is l a prime number?
False
Let g be (-2 - -3)*1 + (10 - -40369). Suppose 0 = 2*f + 3*z - 25559 + 5365, 4*f = -4*z + g. Is f composite?
False
Suppose 0*j + 5*j = 70. Let r be 3242*j/4*(-1)/(-7). Suppose 0 = 4*v - 5*i - r, -2*v = -8*i + 12*i - 830. Is v composite?
False
Let l = -604 + 2816. Suppose 1613 + 3862 = -15*r. Let o = l + r. Is o composite?
False
Let q = -311 + 313. Is 109466/14*(-1 + q) a prime number?
False
Let b(s) = -1103*s + 8 + 1079*s + 246*s**2 - 1. Is b(-8) composite?
True
Let g(a) = a**3 + 5*a**2 - 9*a - 16. Let d be g(-6). Suppose -5*w + 8*x - 11*x = -18729, -x + 7492 = d*w. Is w composite?
True
Let z = -3630 - -11849. Is z a composite number?
False
Let c be (-7)/(-7)*-1 - 1192. Let d = 2568 - c. Is d a prime number?
True
Let v = -59 - -56. Let o be (-8)/24*(-3681)/v. Let t = 2610 - o. Is t composite?
False
Let v(z) = -1556*z**3 - 6*z**2 - z + 2. Let t(g) = 1557*g**3 + 5*g**2 + g - 2. Let j(f) = 6*t(f) + 5*v(f). Is j(1) a prime number?
False
Let h(j) = 6*j - 31. Let s be h(5). Let u be -3 + (s - -4) - -2. Suppose u*q = 6*q - 3556. Is q prime?
False
Suppose 3*t + 553*h - 1210569 = 557*h, 3*t - 2*h = 1210551. Is t prime?
True
Is 67/(603/5232960) + 9 + -2 a composite number?
False
Suppose -19*c + 18*c + 5 = 0. Suppose 6*u = 7*u - c. Suppose 0 = j + u*j - 708. Is j prime?
False
Suppose 19*j - 4657295 - 2746792 = 1443358. Is j composite?
True
Let j(m) = -202581*m - 1965. Is j(-2) a prime number?
False
Suppose 21414608 = 42*p + 4937294. Is p prime?
False
Suppose 2*t + 3706886 = 2*l, -3706888 = -2*l - 7*t + 10*t. Is l a composite number?
True
Let d(p) be the second derivative of -1211*p**3/3 - 13*p**2/2 - p - 45. Is d(-2) a prime number?
True
Suppose -8*j = 2*j + 210189 - 673499. Is j a composite number?
True
Let f(n) = -3*n**3 + 55*n**2 - 37*n - 40. Is f(17) prime?
True
Let x(m) = 38*m**3 - 5*m**2 - 77*m + 732. Is x(10) a prime number?
False
Let i(d) = 71*d**3 + 7*d**2 - 12*d - 33. Is i(8) a composite number?
False
Suppose 3*d + 4*g - 3 = 10, -g = 3*d - 19. Let v = -30 + d. Let z(h) = -h**3 - 23*h**2 - 3*h - 14. Is z(v) a composite number?
True
Let j(i) = 1192*i + 1063561. Is j(0) composite?
False
Let x be (-5)/(-3)*1059 - -7. Suppose -5*w - 2671 = -3*f, -f - f = w - x. Is f composite?
False
Let z be 2/(-13) + (-158)/(-13). Let n = 120 + z. Let k = 319 - n. Is k a composite number?
True
Suppose -5917365 + 10228075 = 123*l - 9904031. Is l prime?
False
Is (-15)/(-5) + 971081 + 5 a prime number?
False
Suppose 0 = -3*v - 5*i + 10, -5*v + i + 24 = 2*i. Suppose 5*r + 13*q = 8*q + 54230, 4*r + v*q = 43383. Is r a prime number?
True
Let k be ((-1)/2)/(4/16*2). Let o be k + (630/12)/((-3)/(-114)). Let z = o + -795. Is z prime?
False
Let l(s) = 2203*s**2 - 6*s + 6. Let b(p) = -6609*p**2 + 18*p - 18. Let u(i) = -4*b(i) - 11*l(i). Is u(1) a composite number?
False
Let q(t) = t**2 - t - 1. Let c(j) = 4*j**2 + 9*j + 12. Let m(p) = c(p) - 5*q(p). Let r be m(7). Suppose r = -3*v + 2085. Is v a composite number?
False
Suppose 24*h = 20*h + 20256. Suppose 4*q - h = 4*j, 4*q + j = -0*q + 5089. Is q a prime number?
False
Let r(c) be the first derivative of c**4/4 + 2*c**3/3 + 57*c**2/2 + 31*c + 108. Is r(23) composite?
True
Let f(s) = -5*s**3 + 29*s**2 - 2*s + 25. Let z(b) = 14*b**3 - 88*b**2 + 6*b - 73. Let k(y) = -17*f(y) - 6*z(y). Is k(-7) a composite number?
False
Let n be ((-20)/(-6))/(42/(-95445)). Let y = n - -11494. Is y composite?
False
Let z(v) = 9327*v + 1652. Is z(115) a prime number?
False
Suppose -10*o - 24 = -4. Is 11014 + (-1)/(-1) + (2 - o) a prime number?
False
Let k = 199237 + -70050. Is k a prime number?
True
Suppose 6*q = 23*q - 6171. Let i = q + 338. Is i a composite number?
False
Is ((-16)/(-8))/(-1*8/(-1730516)) a prime number?
False
Suppose -57*b = -74*b + 43*b - 11769446. Is b composite?
False
Let t be ((-3)/30*-5)/(2/20). Suppose -t*l + 1651 = -384. Is l a prime number?
False
Let v = 13572 - -5471. Is v a prime number?
False
Let v(x) = -x**3 - 23*x**2 - 20*x + 44. Let t be v(-22). Let b be ((-3)/(-9))/(3/18) + t. Suppose -2*y = 2, -3*f - y = b*f - 7654. Is f a composite number?
False
Suppose 5*l = -3*k, -2*k - 3*k = -l. Suppose 15526 = -l*a + 14*a. Is a prime?
True
Is -166762*(231/14 - 17) a composite number?
True
Suppose 3*w - 2*q = 4*w + 23, 2*w = 2*q - 28. Let i = 298 - 194. Let v = i - w. Is v a composite number?
True
Let r(d) = 170*d - 135. Let k be r(16). Suppose 2*s + 5*m + 5104 = -s, 2*s = -m - 3412. Let f = k + s. Is f composite?
False
Suppose -20 = 4*l, -3*o + 53490 = -3*l - 188106. Is o composite?
False
Let k = -365621 + 572848. Is k a composite number?
False
Suppose -11*m = 6*m - 85. Let d(q) = 41*q - 1. Let l be d(4). Suppose -x + 197 = m*r, 3*r = -3*x - l + 730. Is x a composite number?
True
Let o be (2 - 1) + -14 + 15. Suppose o*m - 5265 = -1375. Is m a composite number?
True
Let y(b) = -852*b + 44. Let r(x) = -284*x + 15. Let z(a) = 11*r(a) - 4*y(a). Is z(2) a composite number?
False
Let b be (2*-4)/(-2 - -5 - 5). Suppose -4*m + 728 + 720 = -b*w, 5*m + w - 1780 = 0. Suppose -2*a = -m + 135. Is a a prime number?
False
Let g = -94 - -92. Is (-4690 + g)/(-3) + 3 composite?
False
Let t(f) = 605*f**2 + 99*f - 123. Is t(-29) a prime number?
True
Let t = -92 + 94. Let q(g) = -16*g + 8*g + 16*g + 8*g + 4 + 63*g**t. Is q(-5) a prime number?
True
Let p = 80 - 48. Let v = p - 1936. Is (-27)/9*(v/3 + 1) a prime number?
True
Is 77382 - 38/(-19)*14/4 composite?
True
Let v be 1/(8/(-6)) - 18764/(-16). Suppose 114*a = 110*a + v. Is a composite?
False
Let b = -699 - -701. Suppose 2*m = -2*m + 372. Is (b + 5)*(4 + m) a composite number?
True
Let g(d) = -416*d + 1. Let b(y) = -y**2 + 6*y + 16. Let k be b(9). Let q(n) = 208*n - 1. Let p(s) = k*q(s) - 6*g(s). Is p(6) composite?
True
Is (7 - (21 + -16))/((-2)/(-3309)) a prime number?
False
Let i be -2 + -1 - (3 + (3 - 1112)). Let q = i + -112. Is q a composite number?
False
Suppose -141*z + 129*z + 2717014 + 3008870 = 0. Is z composite?
True
Let a be (-200 | {
"pile_set_name": "DM Mathematics"
} |
hout replacement from herevvnrnetee. What is prob of picking 1 h and 2 n?
1/286
Three letters picked without replacement from {x: 6, s: 8, b: 3}. What is prob of picking 1 x and 2 s?
21/85
What is prob of picking 2 k and 1 w when three letters picked without replacement from {a: 3, s: 2, g: 9, k: 2, w: 3}?
1/323
What is prob of picking 1 o and 1 r when two letters picked without replacement from vaqqrqqoqvvvvaqqrq?
2/153
Calculate prob of picking 2 y and 1 n when three letters picked without replacement from yytynynnyn.
1/3
Two letters picked without replacement from {x: 5, w: 1, o: 4, r: 1, s: 3, m: 1}. Give prob of picking 1 s and 1 r.
1/35
Calculate prob of picking 2 f when two letters picked without replacement from wezfzhewpfewzwpwww.
1/153
Four letters picked without replacement from ccccuckcuccccc. Give prob of picking 1 k and 3 c.
15/91
What is prob of picking 2 g and 1 k when three letters picked without replacement from {g: 3, k: 9, h: 4}?
27/560
Three letters picked without replacement from tecttjjddetctttpttt. What is prob of picking 2 j and 1 t?
10/969
Calculate prob of picking 1 t, 1 c, and 1 q when three letters picked without replacement from cqkcgkqkkqctqqk.
3/91
Four letters picked without replacement from {g: 8, l: 8, x: 2}. Give prob of picking 1 l, 2 x, and 1 g.
16/765
Calculate prob of picking 1 x and 1 d when two letters picked without replacement from xixxiixxidyiixbix.
7/136
Four letters picked without replacement from ttfvtvvvdvvqvvqqtvq. Give prob of picking 1 q and 3 v.
28/323
Four letters picked without replacement from bibbrbliibi. What is prob of picking 4 b?
1/66
Two letters picked without replacement from {p: 7, h: 2, i: 2}. What is prob of picking 1 p and 1 i?
14/55
Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {u: 1, g: 11}.
1/6
Two letters picked without replacement from yybybb. What is prob of picking 2 y?
1/5
What is prob of picking 1 a and 1 e when two letters picked without replacement from eaw?
1/3
What is prob of picking 2 p, 1 f, and 1 v when four letters picked without replacement from wfwwvpmpjpjppfpvw?
3/119
Calculate prob of picking 3 n and 1 b when four letters picked without replacement from {i: 1, b: 3, e: 1, n: 5, p: 1}.
1/11
Calculate prob of picking 2 f and 2 g when four letters picked without replacement from ggggfgfgg.
1/6
Calculate prob of picking 1 m and 2 l when three letters picked without replacement from {m: 3, r: 1, l: 1, o: 2, h: 5}.
0
Two letters picked without replacement from ntcccgnccncccxxxxccn. What is prob of picking 1 t and 1 g?
1/190
What is prob of picking 1 u and 1 f when two letters picked without replacement from ffsuf?
3/10
What is prob of picking 1 n and 1 r when two letters picked without replacement from rnanrrrnnrnrnrnrnnnn?
44/95
What is prob of picking 1 a, 1 v, and 1 c when three letters picked without replacement from {a: 9, o: 7, k: 1, v: 2, c: 1}?
3/190
What is prob of picking 1 o, 1 c, and 1 p when three letters picked without replacement from {p: 1, q: 1, o: 3, b: 3, c: 1, x: 9}?
1/272
Calculate prob of picking 1 o, 1 u, and 1 l when three letters picked without replacement from pofpulofv.
1/42
Three letters picked without replacement from bbabbabbbbbb. What is prob of picking 1 b and 2 a?
1/22
Two letters picked without replacement from eeeeceececee. What is prob of picking 2 e?
6/11
Calculate prob of picking 2 x and 2 z when four letters picked without replacement from {z: 3, x: 8}.
14/55
Three letters picked without replacement from {v: 1, d: 1, e: 2, p: 2, j: 1, m: 1}. Give prob of picking 1 j, 1 e, and 1 p.
1/14
Three letters picked without replacement from {t: 3, r: 2, p: 1, j: 5, x: 5}. Give prob of picking 1 x and 2 t.
3/112
What is prob of picking 1 m, 1 a, and 1 v when three letters picked without replacement from nalvwaanmwanwnvva?
3/136
Three letters picked without replacement from {n: 3, u: 1, m: 3, z: 2, e: 2, h: 7}. What is prob of picking 1 e, 1 h, and 1 u?
7/408
Four letters picked without replacement from {f: 5, p: 9, o: 2}. Give prob of picking 1 p and 3 f.
9/182
Four letters picked without replacement from {e: 3, n: 15}. What is prob of picking 1 n and 3 e?
1/204
Three letters picked without replacement from zpxxxxkxzzxxxpzxxzx. What is prob of picking 3 x?
55/323
Four letters picked without replacement from {b: 2, g: 5, m: 5, j: 3, e: 1}. What is prob of picking 1 g, 1 j, 1 e, and 1 b?
3/182
Two letters picked without replacement from {v: 2, i: 17}. Give prob of picking 2 i.
136/171
Three letters picked without replacement from lukicucl. Give prob of picking 2 l and 1 c.
1/28
Three letters picked without replacement from shfrhnh. What is prob of picking 1 r, 1 s, and 1 h?
3/35
Four letters picked without replacement from ixxdqixxdqif. What is prob of picking 2 q, 1 f, and 1 i?
1/165
Four letters picked without replacement from {m: 2, e: 14, p: 1, a: 2}. What is prob of picking 1 m, 1 e, and 2 a?
7/969
Three letters picked without replacement from bdddbdddddddd. Give prob of picking 1 d and 2 b.
1/26
Four letters picked without replacement from {e: 8, q: 2, j: 7, p: 2}. What is prob of picking 2 e and 2 p?
7/969
Four letters picked without replacement from {w: 4, q: 2, p: 8}. Give prob of picking 3 w and 1 q.
8/1001
Calculate prob of picking 1 h and 2 a when three letters picked without replacement from haaaaaaaahahahahah.
33/68
What is prob of picking 4 h when four letters picked without replacement from hdqdhhhd?
1/70
What is prob of picking 3 f when three letters picked without replacement from rrrffffffff?
56/165
What is prob of picking 2 i and 1 j when three letters picked without replacement from {j: 3, f: 3, w: 2, i: 5}?
15/143
Calculate prob of picking 1 a and 1 z when two letters picked without replacement from {y: 1, z: 1, a: 9, g: 1}.
3/22
Calculate prob of picking 1 v and 1 i when two letters picked without replacement from iioijjojvoooovifj.
1/17
Calculate prob of picking 1 v, 1 u, and 2 j when four letters picked without replacement from jygugvjyjeg.
1/110
What is prob of picking 2 i and 1 b when three letters picked without replacement from {i: 6, b: 2}?
15/28
Three letters picked without replacement from iiiixiiixii. Give prob of picking 1 i and 2 x.
3/55
Calculate prob of picking 4 r when four letters picked without replacement from {r: 3, b: 1, z: 4}.
0
Three letters picked without replacement from bwdddbmbbbmbbd. Give prob of picking 2 d and 1 b.
3/26
What is prob of picking 3 y when three letters picked without replacement from {y: 17, d: 3}?
34/57
Four letters picked without replacement from {q: 1, n: 1, r: 2, y: 1, p: 2, f: 1}. Give prob of picking 1 p, 1 f, 1 q, and 1 y.
1/35
Calculate prob of picking 1 r and 3 i when four letters picked without replacement from iifrrrxxix.
1/70
Four letters picked without replacement from {e: 1, h: 1, x: 1, v: 1, l: 1, w: 2}. Give prob of picking 2 w, 1 v, and 1 l.
1/35
What is prob of picking 1 i and 3 e when four letters picked without replacement from bibbibiiei?
0
What is prob of picking 3 p when three letters picked without replacement from zpzzwzpzplzpz?
2/143
Two letters picked without replacement from jjjjjjjjmmmjjpmmm. Give prob of picking 2 m.
15/136
Calculate prob of picking 1 q and 2 c when three letters picked without replacement from {q: 2, u: 1, e: 2, h: 1, c: 3, y: 3}.
3/110
Calculate prob of picking 2 v and 1 h when three letters picked without replacement from cvcchccvvvvvvcvvcvc.
15/323
What is prob of picking 1 c, 1 i, and 2 z when four letters picked without replacement from zcizc?
2/5
What is prob of picking 2 u when two letters picked without replacement from {p: 2, u: 5, v: 11, r: 1}?
10/171
Calculate prob of picking 1 q and 2 n when three letters picked without replacement from qqqqqqqqqnnqqqqqqn.
15/272
Three letters picked without replacement from {b: 3, s: 5}. What is prob of picking 3 s?
5/28
Three letters picked without replacement from {m: 12, y: 1, h: 1, v: 2, p: 1}. Give prob of picking 1 p, 1 v, and 1 y.
1/340
Two letters picked without replacement from gytgttt. Give prob of picking 2 g.
1/21
What is prob of picking 1 c, 1 k, and 1 t when three letters picked without replacement from bccctkkkbbtkbbc?
| {
"pile_set_name": "DM Mathematics"
} |
9.886155 - -0.103245. Let h = k + x. What is h rounded to 3 decimal places?
-0.011
Let u = -2.7 - -3.1. Let f = u + 10.4. Let j = 10.8000388 - f. Round j to 6 dps.
0.000039
Suppose -4*p + 12 = 0, -2*a + a + 30 = 5*p. Let v = 23 - a. Let b be 242/v + 3/(-12). Round b to the nearest 10.
30
Let l = 2098031764.99999988 + -2098031805. Let o = -40.003 + 0.003. Let g = o - l. Round g to 7 decimal places.
0.0000001
Let v be 2 + (26/143 - 62/(-22)). Suppose v*a = 21422434 + 2542096. Let r = a - 2392906. Round r to the nearest one million.
2000000
Let o = -1225 - -507. Let f be (9 - 3)*1/(-4)*o. What is f rounded to the nearest ten?
1080
Let g(a) = -6*a**2 + 53*a + 11. Let v be g(9). Let y be (v + 141/(-6))*74. Round y to the nearest 100.
-1600
Let k = -11.211 - -11.21109318. Round k to 5 decimal places.
0.00009
Let v be (-2)/10 + 231/55. Suppose -l + 292000 = 2*q, 2*q + 477424 = v*l - 690576. What is l rounded to the nearest 100000?
300000
Let o = -2489 + 2614.3. Round o to the nearest one hundred.
100
Let p = 7853 - 7837.5212. What is p rounded to the nearest integer?
15
Let w = -2321.44 + 10363.535. Let m = w - 8005. Let g = m - 37. What is g rounded to two decimal places?
0.1
Let b = -1396.69 - -1396.690063283. What is b rounded to five decimal places?
0.00006
Suppose 11*a - 73520 = 10*a. Suppose 0*h + a = 8*h. Round h to the nearest one thousand.
9000
Let k = -1919.6165 - -1919. Let w = k - -0.1289. Round w to 2 dps.
-0.49
Let h = -38 - 15. Let x = -52.91 - h. Let a = -0.322 + x. Round a to 2 dps.
-0.23
Let b = -4223 - -4222.965756. What is b rounded to 4 decimal places?
-0.0342
Let h = 22889 + -23139.937. Let q = 249.4 + h. Round q to 1 decimal place.
-1.5
Let l = 38469.25101 - 38469. Let h = -0.251 + l. What is h rounded to six decimal places?
0.00001
Let f = 35.5 + -41.8. Let t = 6.3000564 + f. Round t to 5 dps.
0.00006
Let l be (619 + -4)*(8 - -6). Suppose r + l = -13*r. Round r to the nearest 100.
-600
Let f = -1.682 - -2.69. Let g = 0.546 - f. What is g rounded to 2 decimal places?
-0.46
Suppose -p + 3*u + 34 = 3*p, -3*p + 4*u + 29 = 0. Let x(i) = 7292*i - 44. Let j be x(p). What is j rounded to the nearest 10000?
50000
Let y = 156757 - 101405. Suppose -4*g + 314040 = -y. Suppose 2607652 = 9*c - g. What is c rounded to the nearest one hundred thousand?
300000
Let r = 9884 + -5840. Let m = r + -4044.12027. Let h = 0.12 + m. What is h rounded to four dps?
-0.0003
Let b = -1998.5 - -2012.083. Let r = -0.017 - b. Let x = 14.23 + r. What is x rounded to 1 decimal place?
0.6
Suppose 55 = 7*c + 6. Suppose 34400 = -15*i + c*i. What is i rounded to the nearest one thousand?
-4000
Let t = 472.8965 + -473. Let z = t + 87.5035. Let k = z + -100. What is k rounded to zero decimal places?
-13
Let x be 7*-1 + (-126201 - -15). Let b = x + 54693. What is b rounded to the nearest 1000?
-72000
Let v(s) = -2*s**2 - 5*s - 71. Let t be v(-8). Let u be ((-3876950)/t)/((-2)/120). Round u to the nearest one hundred thousand.
-1500000
Suppose 0 = -6*w + 62 - 50. Suppose -5*m - 16 = -4*u, 2*u - w*m + 17 = 3*u. Let g be (2/(-6) - -1) + 9449994/u. What is g rounded to the nearest one million?
1000000
Suppose 4*o = 29931 + 98889. Let p = -69005 + o. What is p rounded to the nearest one thousand?
-37000
Let y = 2446.0000287 + -2446. Round y to 6 decimal places.
0.000029
Let z = 516 + -361. Let s = z - 154.99999549. Round s to 7 dps.
0.0000045
Let u = 103 + -102.93. Let g = -0.028 + u. Let x = g - 0.04209. What is x rounded to 4 dps?
-0.0001
Let s = 22774793.8874765 - 22774478. Let y = 0.0704765 - s. Let h = -316 - y. What is h rounded to two decimal places?
-0.18
Let u = 1021 - -217. Let p = -586 + u. What is p rounded to the nearest 100?
700
Suppose 19*a + 2*a + 72220946 = -1623739054. Round a to the nearest one million.
-81000000
Let w = 7862 + -7862.04361. Round w to 3 dps.
-0.044
Let i = -99120042 - 37954883. Let z = i + 137074934.0299487. Let t = -9.03 + z. Round t to 5 decimal places.
-0.00005
Let l = -105381.1409985 - -105381. Let k = l + 0.141. What is k rounded to six decimal places?
0.000002
Suppose -10*s + 15*s - 3*o = -6287619, -4*s - 5030092 = -4*o. Let v = s + -169475. What is v rounded to the nearest one hundred thousand?
-1400000
Let j = -863.2 + 863.200000491. What is j rounded to 6 dps?
0
Let u = 5427.1 + -5427.099951574. Round u to 5 dps.
0.00005
Let k = 36 - -12. Let w = 79 - k. Let r = -30.9987 + w. What is r rounded to three decimal places?
0.001
Let g = -78280.087 + 78312. Round g to 1 dp.
31.9
Suppose -2*o + 6 = -0. Suppose 0*a = 3*a, l + 3*a - 43003 = 0. Suppose 14876 + 10909 = -o*k + 5*u, u + l = -5*k. What is k rounded to the nearest 1000?
-9000
Let p(k) = -k**2 + 9*k + 12. Let b = 24 + -14. Let u be p(b). Suppose r - 4*r - 2*m = 3872, 4*m = u*r + 2576. Round r to the nearest 100.
-1300
Let r = 2655.99977529 - 2656. Round r to five dps.
-0.00022
Let g = -6344.9987944 - -6345. What is g rounded to four decimal places?
0.0012
Let l = -14 - -14.16. Let i = l + -17.56. Let z = i - -17.844. What is z rounded to one dp?
0.4
Let q = 73 - 395. Let w = q - -372.3. What is w rounded to the nearest 10?
50
Let c = 8265.10469 - 8265. Round c to 3 dps.
0.105
Let i = -89.95289963 + 89.474796. Let y = i - -0.440104. Let f = y - -0.038. What is f rounded to 7 decimal places?
0.0000004
Let q be 12/20 + 76/(-10). Let z(w) = 11 + w - w**2 + 3*w**2 + 15*w**2 - 6*w**2 - 7*w**2. Let v be z(q). Round v to the nearest 1000.
0
Let d = -207.547 + 217.07. What is d rounded to one dp?
9.5
Let l = 607.35724224 - 12.35726174. Let z = l - 595. Round z to six decimal places.
-0.00002
Let v be (-4 + -21 + -72485)*((-1)/2 - 0). Round v to the nearest 100.
36300
Let s = -43.3 - -61.2. Let f = 12.6 - s. What is f rounded to the nearest ten?
-10
Let c = 62828902 - 62828826.276997. Let b = c + -74.42300341. Let v = b - 1.3. Round v to 7 decimal places.
-0.0000004
Let q = -0.0199456 + -0.052239. Let m = -0.072 - q. Round m to five decimal places.
0.00018
Let v = 37.32 + -32.13. Let g = 1278.5 - 1273.2514. Let h = g - v. What is h rounded to two dps?
0.06
Let d = 768 - 801.78. Let h = d - 8.52. What is h rounded to the nearest integer?
-42
Let r(w) = 7*w**3 + 101*w**2 + 923*w - 8. Let u be r(-9). Round u to the nearest 1000.
-5000
Let q = -30323.67003 - -30326. Let i = q - 2.33. What is i rounded to 6 dps?
-0.00003
Let u = -372890.1403 - -372871. Round u to 0 dps.
-19
Let k = -31.3 + 40.4. Let b = k - 9.099446. Round b to 5 dps.
0.00055
Let h = -23058 + 23058.0015733. Round h to 5 decimal places.
0.00157
Suppose -59*z - 41*z - 51*z = -343072. Round z to the nearest 1000.
2000
Let m be -4 + 2 - (4 - 10). Suppose w + 4*y - 34447 = -y, -4*y = m*w - 137708. Suppose u - w = 59578. What is u rounded to the nearest ten thousand?
90000
Let f = -152529 - 224161. What is f rounded to the nearest 1000?
-377000
Let i = -27824 + 27824.0000030146. What is i rounded to seven decimal places?
0.000003
Let t = 8254 - 8254.00010014. Round t to 5 dps.
-0.0001
Let f = -7 - -9. Suppose -2*l + 13 = -3*s, 2*l + s = 3 - f. Suppose -2*d + 316 = o, 840 + 374 = 4*o - l*d. What is o rounded to the nearest 10?
310
Let y = -4261.1 - -4260.85061. Round y to 2 dps.
-0.25
Let u = -3161668 - -2111666. Let a(x) = -580*x - 4061. Let c be a(-7). Let y be c + (-1)/((-1)/(3 + u)). Round y to the nearest one hundred thousand.
-1100000
Let d = 23959 + -23958.9918135. What is d rounded to 3 dps?
0.008
Let x = 105.826 - 35.191. Round x to the nearest 10.
70
Let a = 0.171 + -0.143. Let x = a - 0.304. Round x to one dp.
-0.3
Let i = -217.0017206 - -217. Round i to three dps.
-0.002
Let n = 344428 - 344466.0078. Let s = n + 38. What is s rounded to 3 dps?
-0.008
Suppose -2*z = 2*w - 24650, 4*z - 51602 = 4*w - 2294. Round z to the nearest one hundred.
12300
Let x(z) = 178256*z**3 - 12*z**2 - 23*z - 49. Let g be x(-3). What is g rounded to the nearest one million?
-5000000
Suppose -4*f = 4, w - 5*w - 3*f = 97395. What is w rounded to the nearest one hundred?
-24300
Let h = -946.5 - -945.8193. What is h rounded to 2 dps?
-0.68
Let t = 4596 + -4596.00001869. Round t to six decimal places.
-0.000019
Let y = 0.0094 - 796.0094. Let g = y + 273. Let w = -522.99999739 - g. Round w to 7 decimal places.
0.0000026
Let j = 625992724.9999871 | {
"pile_set_name": "DM Mathematics"
} |
t of o(-3)?
1
Let l be (-3)/15 + (-42)/(-10). Suppose -l*h + 4 = 0, 6*b + 4*h - 91 = 3*b. Let i = -14 + b. What is the units digit of i?
5
What is the units digit of 32/12*12/8?
4
Let v = -264 + 369. What is the tens digit of v?
0
Suppose -5*p - 8 = 4*v + 42, 0 = 4*v + 20. Let o be (-28)/42 - (-20)/p. What is the tens digit of ((-60)/o)/1 - 3?
1
Let t(q) = 238*q - 8. Let f be t(4). Suppose f = 2*n + 324. What is the tens digit of (n/(-25))/(2/(-10))?
6
Let w(s) = s**2 - 4*s + 3. Let m be w(-4). Let g = 23 - m. What is the units digit of (-6)/g*(2 - -56)?
9
Suppose -5*x - 2 - 8 = 0. What is the tens digit of x/(-3) - 372/(-9)?
4
Suppose 0 = 3*j - v - 0*v - 1076, 8 = 2*v. What is the units digit of j?
0
Let m(s) = s**3 + 8*s**2 - 12*s - 4. Let x be m(-10). Let h be (-3 - (-1)/(-1)) + 1. What is the tens digit of (-14)/h*(-432)/x?
2
Suppose 11*x = 6*x + 255. What is the units digit of x?
1
Let j be 2 + (0 - 1) + -3. Let s be -4*(j + (-3)/(-2)). Suppose 5*t - 2 = 4*f, s*t - 3*f + 1 + 1 = 0. What is the units digit of t?
2
Let c = -731 + 1226. What is the hundreds digit of c?
4
Let c(m) be the third derivative of -m**5/60 - m**4/2 - 2*m**3/3 - 3*m**2. What is the units digit of c(-8)?
8
Let n be (0 + 2)/(8/(-12)). Let p(g) = 10*g**2 + 5*g + 14. What is the tens digit of p(n)?
8
Suppose 4*a = 4 + 8. Suppose -j - 385 = -2*v, 2*j = -4*v + a*j + 773. What is the tens digit of v?
9
Suppose 0 = -5*w - 20, 120*w = k + 118*w - 818. What is the hundreds digit of k?
8
Suppose 0 = -4*u + 1 - 5, -u + 24 = 5*a. Suppose -26 - 24 = -a*m. What is the tens digit of m?
1
Suppose 0 = -4*a + t + 61, -5*a + 87 = 4*t - 5. Suppose -426 + a = -5*z. What is the tens digit of z?
8
Let u = 126 - 56. Let f = u + 2. What is the tens digit of f?
7
Let y(h) = -8*h + 90. What is the hundreds digit of y(-26)?
2
Suppose 0 = -3*w + 2*k + 3913, -8*w + 10*w - 3*k - 2602 = 0. What is the units digit of w?
7
Let s(c) = 2*c**2 + 32*c + 180. What is the units digit of s(-27)?
4
Suppose 27*g - 25*g - 230 = 0. Suppose -4*m - 207 = -3*v, 4*m + m - g = -2*v. What is the units digit of v?
5
Suppose -2*v - 644 + 2426 = 0. What is the units digit of v?
1
What is the units digit of 2/10 - (6 - 50236/20)?
6
Let q = 1236 + -507. What is the tens digit of q?
2
Let w(c) be the second derivative of 17*c**3/3 - 19*c**2/2 - 8*c. What is the units digit of w(4)?
7
What is the thousands digit of ((-5)/5 - -923)*(-3)/(-2)?
1
Let v be ((-12)/10 - 0)*30. What is the tens digit of (-194)/(-18) + v/(-162)?
1
Suppose -3*u + 37 = 3*f - 11, -5*f + 64 = 4*u. What is the units digit of (u/(-12))/(4*3/(-918))?
2
Suppose -5*p - 5*f + 640 = 0, 0 = -3*p + 2*p + f + 124. Suppose -9*q + p = -2*q. What is the units digit of q?
8
Let o(y) = 6*y - 2. Let u be o(2). Suppose g + 5 = 0, -5*t + 4*g + u = -0. Let n = t + 4. What is the units digit of n?
2
Let d = -9 + 39. Suppose 0 = -d*r + 28*r + 370. What is the tens digit of r?
8
Suppose -6*h - 648 = 1134. Let z = 559 + h. What is the hundreds digit of z?
2
Suppose 11*b - 1950 = -36. What is the hundreds digit of 3/(8/24 + (-55)/b)?
1
Let r be 0*(0 + (-2)/(-4)). Let a(y) = 4*y - 4. Let t be a(2). What is the tens digit of 10 + t + -3 + r?
1
Let o(v) = -2*v**2 + 20*v + 13. Let h be o(10). Suppose -h*j + 72 = -9*j. What is the tens digit of j?
1
Suppose 3*w - 501 = -2*m + 1376, -624 = -w + m. What is the tens digit of w?
2
Let g(q) = -68*q + 89. What is the hundreds digit of g(-6)?
4
Let w(p) = 71*p + 38. Let t be w(3). Let l = 466 - t. What is the hundreds digit of l?
2
Suppose 4*r = 4*d + 22 + 2, d = 2*r - 11. What is the tens digit of (-217)/(-5) + 3/r?
4
Suppose -3*b + h = 13, 1 = 3*b + 5*h - 10. What is the units digit of -1 + (b - 1) + 35?
0
Let s(b) be the second derivative of 19*b**3/6 + 11*b**2/2 + 2*b. Let t(z) = z**3 + z**2 - 7*z + 5. Let p be t(2). What is the tens digit of s(p)?
6
Let t = -278 - -408. What is the hundreds digit of t?
1
Let a be (-4 - (-6 - 1))*(0 - -1). Suppose v + 4*z = -v + 326, a*z - 6 = 0. What is the hundreds digit of v?
1
Suppose 5*x - 906 = c, 0 = 6*x - 3*x + 4*c - 539. What is the tens digit of x?
8
What is the hundreds digit of (-3 - 2760/25)*(4 + -9)?
5
What is the units digit of (-25)/(-15) - 9854/(-6)?
4
Suppose h + 3*h = -t + 4, 2*h = 3*t + 16. Suppose h*o - 134 = -36. What is the units digit of o?
9
Let f(q) = q**2 - 6*q + 2. Let y(c) = 2*c**2 - 8*c + 12. Let r be y(3). What is the units digit of f(r)?
2
Let u(z) = 156*z**3 + 4*z**2 - 64*z + 186. What is the hundreds digit of u(3)?
2
Let c = 53 + -52. Let j(n) = -1 + 1 + n**2 + 32*n**3. What is the tens digit of j(c)?
3
Let j(h) be the second derivative of -h**3 + 15*h**2/2 + 13*h. Let u be j(5). Let n = 55 - u. What is the tens digit of n?
7
Let v be 5/(-60)*3 - 133/(-4). Suppose -v = -a + 80. What is the units digit of a?
3
Suppose 5*t + 823 = x, 4235 = -x + 6*x + 5*t. What is the tens digit of x?
4
Let n(x) = -x**3 + 9*x**2 + 2*x - 8. Let w be n(9). Suppose d + b - 10 = 0, 4*d = -0*d + 4*b + 8. What is the units digit of (w/(-4))/((-3)/d)?
5
Suppose -z + 32 = 5*o, 0 = -3*o - 3*z + 4 + 20. Suppose o*s - 257 = 1. What is the tens digit of s?
4
Suppose 5*n = 3*i - 8388, n = 5*i - 9*i + 11207. What is the units digit of i?
1
Suppose 2*w - 3*y + 349 = 0, -5*w = -y - 0*y + 905. Let d = 269 + w. What is the tens digit of d?
8
What is the tens digit of (14 - 13)*8/(-20)*-35?
1
What is the tens digit of ((-57528)/(-54))/(2/3)?
9
Let o(q) = -q**2 + 3*q - 4. Suppose -4*m + m + 21 = 0. Let r be o(m). Let v = r - -48. What is the units digit of v?
6
Let l be 12*(2 - 0)*4/8. Suppose 0 = l*s - 1045 - 431. What is the hundreds digit of s?
1
Let l be (-18)/8*(-16)/12. Suppose 2*q = l*q - 15. What is the units digit of q?
5
Let k(t) = 4*t**2 - 20*t - 2. Let r(a) = 5*a**2 - 20*a - 2. Let o(x) = -6*k(x) + 5*r(x). What is the units digit of o(-20)?
2
Suppose 3*q = f - 3, 0 = -5*f + 3*q + 14 + 1. Suppose 156 = 2*y - f*a, 2*a = 4*y - 2*a - 316. What is the units digit of y?
1
Let q = -1276 + 2642. What is the tens digit of q?
6
Suppose -3*n + 191 + 241 = 0. Suppose -3*t + n = -t. What is the tens digit of t?
7
Let p = -17 + 132. Let d = 198 - p. What is the tens digit of d?
8
Let q(f) = -250*f - 22. What is the units digit of q(-4)?
8
Suppose -3*r + 70 = 2*r + 5*l, 5*l = 3*r - 2. Let a = 12 - r. Let t = 3 + a. What is the units digit of t?
6
Suppose -5*n + 3*f + 389 = 0, -f = -2*n - 6*f + 168. Let o = 141 + n. What is the hundreds digit of o?
2
Let h be (114/(-15))/((-2)/5). Let b = h + -15. Suppose -4*n - 3*g = -84 + 28, b*n - 80 = 3*g. What is the tens digit of n?
1
Let v(h) = h**2 - 8*h - 5. Let r be v(9). Suppose -y + 11 = 4*c, 3*c + 3*y = r*c - 19. Let i = c - -18. What is the units digit of i?
2
Let q(i) = i**2 + 8*i + 17. What is the units digit of q(17)?
2
Suppose -4*a - 2*a = -78. Let d = 11 + a. What is the tens digit of d?
2
Let a = -5 - -8. Let o = -161 - -160. What is the tens digit of o - 62*a/(-6)?
3
Suppose 16*a - 19*a + 612 = 0. What is the tens digit of 13/(26/a) - 6/(-3)?
0
Suppose -5*y + 25 = 105. Let t be ((-20)/y)/(2/8). Suppose -m + u = -7, -2*m + t = -5*u - 12. What is the units digit of m?
6
Let z = 2329 + -26. What is the units digit of z?
3
Let s = 6759 - 4815. What is the hundreds digit of s?
9
Suppose 3*i = q - 830 - 1603, 0 = -2*q + 2*i + 4882. What is the tens digit of q?
4
Suppose 284*v = 278*v + 720. What is the hundreds digit of v?
1
Suppose 138468 = 38*k - 39182. What is the tens digit of k?
7
Let n = 318 + -113. Suppose -6*r + 5*q = -2*r - 855, -r + 3*q = -n. Suppose -r = -5*x - 4*w, -x = 5*w - 31 - 13. What is the units digit of x?
4
Let u be ((-3)/(-9))/(3/45 + 0). Suppose 0 = -u*s - 4*c + 292, 2*s - c + 3*c = 118. What is the tens digit of s?
5
Suppose -2*c - 10 = 26. Let m(z) = z**3 + 17*z**2 - 21*z - 15. What is the units digit of m(c)?
9
Let o = -1035 - -1463. What is the tens digit of o?
2
Let b be 2*(-3 - -4) - 0. Let k(r) = -r**3 + 7*r**2 - 6*r + 5. Let p be k(6). Suppose l - 3*j - 36 = -0*l, b*l = p*j + 67. What is the units digit of l?
1
Let w be 2 + -86 + 2 + -1. Let l = w - -157. What is the units digit of l?
4
Suppose -3*r + 745 = k, 0 = 5*r - 0*k + k - 1239. Suppose 0 = o + 4, o = 3*x + 6*o - r. What is the units digit of x?
9
Suppose 35 + 56 = 3*n | {
"pile_set_name": "DM Mathematics"
} |
5. Let t be f(-5). Round t to the nearest 10000.
10000
Let a = -134344888 - -134344862.0000012. Let m = 26 + a. What is m rounded to 6 dps?
0.000001
Suppose 2 = 2*a, -13630440 + 96730441 = -3*u + a. Round u to the nearest one million.
-28000000
Let h = 0.084 - 19.084. Let l = -7 + 30.6. Let z = h + l. What is z rounded to 0 decimal places?
5
Let u be (-4)/(2/(-1 - 0)). Let f(q) = 2299*q**2 - 8*q - 16. Let c be f(-4). Suppose 0 = u*s + 2*s - c. Round s to the nearest one thousand.
9000
Let f = -230 + 230.88. What is f rounded to 2 decimal places?
0.88
Let s = -64 + 65. Let o be -2*s - 2*(-7 + 33). What is o rounded to the nearest 10?
-50
Let n be (300*140/9)/(2/564). Suppose 3*d + d = n. What is d rounded to the nearest 100000?
300000
Let d(z) = z**2 + 18*z + 18. Let p be d(-17). Let u be p*(-4)/4 - -3. Suppose u*f - 6*f + 19988 = -3*x, 4*f = -x + 20004. Round f to the nearest one thousand.
5000
Let q = 56 - 56.0000995. Round q to five dps.
-0.0001
Let m = 274 + -275.66. Round m to one decimal place.
-1.7
Let m = 2860.03 - 2910. Round m to the nearest integer.
-50
Let l = 58 + -11. Let g = -5 - l. Let y = 51.99884 + g. Round y to 4 decimal places.
-0.0012
Let s = 13736.006123 - 13736. What is s rounded to 3 dps?
0.006
Let h = -8 - -7.92. Let k = h - -0.043. What is k rounded to two decimal places?
-0.04
Suppose -4*n = 10 - 38. Let r = 3 + n. Let z be (-909998)/r - 7/35. What is z rounded to the nearest ten thousand?
-90000
Let c = 1278.0001166 - 1278. Round c to 4 decimal places.
0.0001
Let f = -79 + 33. Let o = -3.154136416 - 42.845863124. Let t = o - f. What is t rounded to seven dps?
0.0000005
Let l = -1163 - -4411. Let u = 3248.02938 - l. Let j = 0.03 - u. What is j rounded to 4 dps?
0.0006
Let x = -31.999292 - -32. What is x rounded to 4 dps?
0.0007
Let t = -15597214.99757 - -15596649. Let k = t + 566. Round k to 4 dps.
0.0024
Let k = -266967.74 - -266337.73701. Let n = k + 630. Round n to 3 dps.
-0.003
Let t(h) = 79*h + 13. Let n be t(-37). Round n to the nearest 100.
-2900
Suppose -5*t + 21939994 = 2*n, 0*t - n = 3*t - 13163997. What is t rounded to the nearest one million?
4000000
Let q = -8050227 + 2777338. Let p = 26718332 - 13645443. Let k = p + q. What is k rounded to the nearest 1000000?
8000000
Let k(l) = 8568*l**2 - 3*l - 3. Let o = 50 + -47. Let m be k(o). What is m rounded to the nearest ten thousand?
80000
Let a be (-3 - -8)*(-2740)/25. Let s = 988 + a. What is s rounded to the nearest one hundred?
400
Suppose 4*x = x + 3*o - 24, -3*o = 4*x + 32. Let s be (-250)/((x/448)/(-3 - -2)). Round s to the nearest 1000.
-14000
Let v = -127284305 - -127284306.11501006. Let r = v + -1.115. What is r rounded to six dps?
0.00001
Suppose -r = -0*r - 14292722. Suppose c + l = 6213432, -2*l - 16774403 = -5*c + r. Let p = -2713427 + c. Round p to the nearest 1000000.
4000000
Let j = -2152 + 2152.000001823. Round j to 7 decimal places.
0.0000018
Suppose 3*i + 3*h + 23295 = -0*i, h - 5 = 0. What is i rounded to the nearest one hundred?
-7800
Suppose -2*z + 3*p - 11 = -35, 2*p = -3*z + 10. Suppose 0 = z*b - 2*b - 179132. Let i = -83783 + b. Round i to the nearest ten thousand.
-40000
Let l = 2.1 + 0. Let o = -0.1 + l. Let y = 1.991 - o. Round y to 2 decimal places.
-0.01
Suppose -3*i + 62 + 1 = 0. Let f be (769972/i)/(2/(-6)). Let z be (10/(-2) - -1) + f. What is z rounded to the nearest ten thousand?
-110000
Let g be 5 - (12/(-4) - -4). Suppose -3*o = -o - 418. Suppose 0 = 4*b + g*z + 380, -z - 186 - o = 4*b. What is b rounded to the nearest 1000?
0
Let p = -14876.08 + 14599. Let v = 282 + p. Let c = v + -5. Round c to one decimal place.
-0.1
Let d(r) = -20*r + 5. Suppose -4*k + 4 = 44. Let c be d(k). Round c to the nearest 10.
210
Let o = 38 - 139. Let c = -164 - o. Let w = -33.5 - c. Round w to the nearest integer.
30
Let d = -0.4 - -0.06. Let h = d + -0.4. Round h to one decimal place.
-0.7
Let v be 34199996 - (-2 + (-15)/(-5)). Suppose 0 = s + 2*s + a - 34200001, -3*s + v = -5*a. What is s rounded to the nearest 1000000?
11000000
Let f(a) = -6 + 8*a**2 - 2*a + 1 - 2*a - 63*a**3. Suppose 0 = 9*j - 14*j + 25. Let p be f(j). Round p to the nearest 1000.
-8000
Let w = -126 - -126.000000348. Round w to 7 decimal places.
0.0000003
Suppose 143801 = -45*w + 43*w + f, 0 = 4*w - 3*f + 287603. What is w rounded to the nearest 10000?
-70000
Let a = -92.944 - 0.056. Let r = a + 176. Let f = -83.000107 + r. What is f rounded to five decimal places?
-0.00011
Suppose 2*s + 14 = 22. Let x be 7 - (0 + 4/2). Suppose 14699975 = s*j - j + 5*f, -x*f = 25. Round j to the nearest 1000000.
5000000
Let d = 0.07990401 + -0.0799. Round d to six decimal places.
0.000004
Let r = 734 + -1390. What is r rounded to the nearest one hundred?
-700
Let p = -0.1241 + -0.4169. What is p rounded to one decimal place?
-0.5
Let k = -260 + 480. Let j = -4956281750.9999889 + 4956281531. Let p = k + j. What is p rounded to six decimal places?
0.000011
Let d = 2.4 - 1.4. Let r = 0.99894 - d. What is r rounded to 4 decimal places?
-0.0011
Suppose k - 2119085 = 1060915. Round k to the nearest one million.
3000000
Suppose -5*p + 2*p + 15 = 0. Suppose -2*l + 2*c = -6, 0 = 2*l + 2*c - p - 1. Suppose 141 + 6159 = -l*m. Round m to the nearest one thousand.
-2000
Let q = -147.8452 + 0.0452. Let l = 0.173 - -160.827. Let n = l + q. What is n rounded to the nearest integer?
13
Let g = 962 + -586. Let j = -379.02 + g. Round j to 1 dp.
-3
Let g be ((-3)/2)/3*(-10 + 0). Suppose 2*q = -3*z - 102599996, -g*q = -4*q - 2. What is z rounded to the nearest one million?
-34000000
Let b(l) = -970004*l - 16. Let v be b(-4). Round v to the nearest one hundred thousand.
3900000
Let a be -10*(-3)/(-6) + 3. Let i(n) be the second derivative of -79375*n**5 - n**4/12 - n**3/3 + 7*n. Let k be i(a). Round k to the nearest one million.
13000000
Let d be ((-3)/2)/(1/8*-4). Suppose d*j + 7200012 = 3*t, -7*j = -5*j + 8. What is t rounded to the nearest 1000000?
2000000
Let t(h) = 64*h**2 - 13*h + 8. Let m be t(8). Let r be (4 + -664)*m/6. Round r to the nearest 100000.
-400000
Let s = -402.694 - -409. Let b = s - 6.42858. Let t = -0.121 - b. Round t to 4 dps.
0.0016
Let w = -52.31 - -52. Let i = -12.31 - w. Let d = i - -13.42. What is d rounded to one decimal place?
1.4
Let o = -92 + 29. Let r = o + 43.4. Round r to zero dps.
-20
Let v be -5 + 4 - 6/(-2). Let m = v - -29. Let k = m + -19. Round k to the nearest ten.
10
Let r = 0.013 + -4.913. Let q = r - -4.89962. What is q rounded to five decimal places?
-0.00038
Let q be (-8 - -5)*(0 - -2). Let j(i) = -i**3 - 5*i**2 + 5*i - 6. Let d be j(q). Suppose d = -0*o - o - 700000. What is o rounded to the nearest 100000?
-700000
Let z = -110298 - 275118. Let y = z - -168416. What is y rounded to the nearest 10000?
-220000
Let u = -936 - -941.93. Let a = 6 - u. What is a rounded to two decimal places?
0.07
Let j = 108.806 - -0.194. Let w = -7 - j. Let i = w - -115.9877. Round i to 3 decimal places.
-0.012
Let r = -0.04199958 + 0.042. What is r rounded to five dps?
0
Let l = 142.181703 - -6462.277997. Let y = 6640.4597041 - l. Let t = y + -36. What is t rounded to 6 dps?
0.000004
Suppose 4*m - 437 - 282 = -z, 2*z = 2*m + 1418. Suppose p + 2*a = 6*a + 222, 3*p = -3*a + z. What is p rounded to the nearest ten?
230
Let n = 34 + -16. Let p be (-1043999992)/(-36) + 4/n. What is p rounded to the nearest one million?
29000000
Let u = -4.95 + 4.9. Let c = u - 0.9. Round c to one decimal place.
-1
Let i = 141.2 - 141.200355. What is i rounded to four dps?
-0.0004
Let n = -3 + 8. Suppose 7*k = 2*k - n. Let r be -38*(-2 + 103 + k). Round r to the nearest one thousand.
-4000
Let n = -9.08 - -8. Let h = 10.28 + n. Let c = h - 9.199957. What is c rounded to five decimal places?
0.00004
Suppose -4*p = -5*p + 5. Suppose 62254 + 12351 = -d - p*v, -v = 1. Round d to the nearest ten thousand.
-70000
Let j = -3372.1 - -3186. Let v = -135 + -62. Let w = v - j. What is w rounded to the nearest integer?
-11
Let k(r) = 1122*r**2 + 2*r + 20. Let z be k(19). What is z rounded to the nearest 10000?
410000
Let r = -0.2312 - -0.23116814. What is r rounded to six decimal places?
-0.000032
Let i = 16.312 - 0.012. Let v = i + -1.3. Let l = v - 15.035. What is l rounded to 2 dps?
-0.04
Suppose 7*b - 254597 | {
"pile_set_name": "DM Mathematics"
} |
) = -9*k + 9. Let r(b) = 2*l(b) - 3*q(b). Give r(4).
18
Let b(c) = 6*c + 4. Let v(p) be the third derivative of p**4/24 + p**3/6 + p**2. Let f(m) = -b(m) + 5*v(m). Let n be -4*(2 + (0 - 1)). Determine f(n).
5
Let f(k) = k - 1. Let i be -2 - (-3)/(6/26). Suppose -3*p + u + i = 0, -2*u - 6 - 13 = -5*p. Suppose -2*w + 25 = -p*z, -z + 20 = -w - 6*z. Determine f(w).
4
Let t(h) = 6*h + 3*h - 6 - 8*h. Calculate t(5).
-1
Let f(b) be the third derivative of -b**4/8 + b**3/6 + 25*b**2. Determine f(-4).
13
Let t be -2 + (-5)/1*-1. Let w be (t - 3)/((-2)/1). Let n(a) = -4*a + w*a + 3*a**2 + a**2 + a**3 - 2. Calculate n(-5).
-7
Let j(v) = 8*v + 4. Let f(d) = 7*d + 3. Let s(k) = -7*f(k) + 6*j(k). Give s(-7).
10
Let z = 9 - -26. Suppose -4*o = 7 - z. Let s(a) = a**2 - 6*a - 5. Give s(o).
2
Let h(o) = -o + o**2 - 7*o + 2 + 1. Let n be h(7). Let u(f) = f**2 + 3*f. Calculate u(n).
4
Let s(u) = -u**3 + 4*u**2 - u + 4. Let l be (4 + -1)/(3 - 2). Let r be l/2*(-24)/(-9). Calculate s(r).
0
Let z(d) = d + 9. Suppose -5*n - 25 = -n + o, -4*o = 3*n + 9. Give z(n).
2
Let c(r) be the second derivative of -1/6*r**3 + 1/2*r**2 + 3*r + 1/20*r**5 - 1/6*r**4 + 0. Give c(2).
-1
Let v(s) = s - 3. Let a be v(5). Suppose -3*w + 10 = a*t, -4 = -2*w - 3*w + 3*t. Let h(r) be the second derivative of -5*r**3/6 + 200*r. What is h(w)?
-10
Let l(r) = -r**3 + 7*r**2 - 7*r - 6. Let n be (-18)/(-15)*(-20)/(-4). Give l(n).
-12
Let j(f) be the second derivative of -f**5/20 - f**4/3 - 2*f**3/3 - f**2 - f. Calculate j(-3).
1
Let s(p) = -p**2 + 8*p - 3. Let u(a) = -2 + 0 + 3 + a. Let h be u(6). Let f be s(h). Let k(w) = w**3 - 5*w**2 + 4*w + 5. Give k(f).
5
Let p be (-6*(-12)/(-18))/(-1 + 2). Let q(c) = -c**3 - 2*c**2 + 6*c + 3. What is q(p)?
11
Let u = 12 - 7. Let m(o) = o**2 + o + 1. Let t(p) be the third derivative of -p**5/60 - p**3/6 + 3*p**2. Let z(h) = -6*m(h) - 7*t(h). Calculate z(u).
-4
Let k(r) = -5*r + 0*r + 3 + 3*r. Suppose -3*u + 3*n - 9 = -3, 2*u - n = -6. Let b be u/(-10) - 36/(-10). What is k(b)?
-5
Let g(q) = -3 - 2*q**2 - 3*q**3 + 6*q**2 + 3*q + 4*q**3. Let b be g(-3). Let y(i) = -i**2 - 4*i - 4. What is y(b)?
-1
Let r(v) = -395*v + 802*v - 398*v. Let c be (4/6)/((-2)/3). What is r(c)?
-9
Suppose 3*n + 3 = 3*k, -n + 5*k = 2*k + 1. Let b(j) = 6*j + 2. Let y = 2 - 1. Let f(u) = u + 1. Let w(s) = y*b(s) - 3*f(s). What is w(n)?
-4
Suppose 18 = 4*m - 2. Let w(a) be the first derivative of -a**4/4 + 5*a**3/3 - a**2/2 - a - 45. Let o be w(m). Let s(j) = j**3 + 6*j**2 - j - 5. Give s(o).
1
Suppose 15 = 3*u - 0. Let t(n) = 2*n**3 + 6*n**2 - n - 2. Let r(b) = b**3 + b - 1. Let s(i) = 3*r(i) - t(i). Calculate s(u).
-6
Let q = 12 + -9. Let d = q + -6. Let f(v) = 8*v + 3. Let a(n) = -7*n - 3. Let y(b) = -5*a(b) - 4*f(b). Calculate y(d).
-6
Let a(s) = -s**2 + 2*s - 3. Let m be a(3). Let j(v) = -v**2 - 6*v + 6. What is j(m)?
6
Let q(y) be the third derivative of -y**4/12 + y**2 + 21. Give q(-1).
2
Let a(c) = -c**3 + 2*c**2 + c. Let d be 2 + 0/(3*-1). Let t be 4*d*3/12. What is a(t)?
2
Let g be (-2 - 1/1) + 0. Let p(s) = s**3 + 6*s**2 - 8*s + 8. Let m(i) = i**3 + 5*i**2 - 7*i + 7. Let x(f) = -5*m(f) + 4*p(f). Determine x(g).
6
Let t(m) = 3*m + 6. Let r(n) = 1. Let v(d) = 6*r(d) - t(d). Give v(-2).
6
Let s(y) be the third derivative of 0*y - 1/24*y**4 + 1/6*y**3 + y**2 + 0. Give s(5).
-4
Let n(h) = 3*h**2 + 25*h - 27. Let i(d) = 2*d**2 + 13*d - 14. Let f(g) = -5*i(g) + 3*n(g). Let r(p) = -2*p - 16. Let c be r(-12). Determine f(c).
5
Suppose -11 = -0*p - 4*p - w, -5*p + 5*w = -20. Let j(m) = -m**2 + 3*m + 3. Give j(p).
3
Suppose -6*r = -3*r - 3. Let h(i) = -7*i**2 - 2*i + 1. Determine h(r).
-8
Let a(d) = -d**3 + 6*d**2 + d - 3. Suppose 0 = 5*f + f - 36. What is a(f)?
3
Let r(d) = -d**2 + 8. Suppose 39 = -5*w - a + 6, 0 = 4*w + 4*a + 36. Give r(w).
-28
Let b(p) be the first derivative of p**4/4 + p**3 - 3*p**2 - p - 1. Let s = 4 - 8. What is b(s)?
7
Suppose -4*o - 8 = -b, 2*o + o = 5*b + 11. Let y(u) be the second derivative of -u**5/20 - u**4/4 - u**3/3 - u**2/2 - 2*u. What is y(o)?
5
Suppose -4*u = -48 - 0. Suppose i + 3*i + u = 0. Let l(k) = -k**3 - 3*k**2 + 2*k. Calculate l(i).
-6
Suppose -3*l + 16 = o + 4*o, 5*l = -2*o + 14. Let n(p) = l - 3*p - 2 + 4. Let z be (6/(-4))/(2/(-4)). Determine n(z).
-5
Suppose 3*h + 2*i = 20, 5*i + 17 = 3*h + 4*i. Let m(o) = o**3 + 1 - 1 + 2*o**2 - 9*o**2 + 1 + 7*o. Give m(h).
7
Suppose -1 = 2*z - 7. Let v(m) = m**2 - 3*m - 1. What is v(z)?
-1
Let s be (4 - -1)*12/(-10). Let b(w) = w**2 + 6*w - 3. What is b(s)?
-3
Let j(l) = 18*l**2 - 32*l**2 - 13*l + 7 + 15*l**2 + 4*l. Calculate j(6).
-11
Let u(j) = -4*j - 3. Let c(s) = -s - 1. Let p be (-1)/(-2) - (-9)/2. Suppose 2*q + 13 = -p. Let z(m) = q*c(m) + 2*u(m). Determine z(0).
3
Let p(j) = j**3 + 9*j**2 + 9*j + 10. Let y be p(-8). Let o(u) = 6*u - 3*u - 4*u + y*u. What is o(-2)?
-2
Let i(m) = 102 - 44 + m**2 - 54 + 5*m. Give i(-5).
4
Let l(z) = 3*z - 3. Let x(n) = 8*n - 9. Let b(a) = 11*l(a) - 4*x(a). Give b(-7).
-4
Let c(i) = 10*i**3 - 2*i**2 + i - 12*i**3 + 6*i**3. Let u(f) = -f**3 + 7*f**2 - 6*f + 1. Let r be u(6). Determine c(r).
3
Let d(y) = -y**2 - 5*y - 2. Let x be d(-3). Let l be (-2 + (-5)/(-2))*-2. Let k(s) = 2. Let c(f) = -f - 1. Let n(a) = l*k(a) - c(a). Determine n(x).
3
Let i be (-30)/75 + (-22)/(-5). Let j(t) = -t**3 + 4*t**2 - 5*t + 6. Determine j(i).
-14
Let b(m) = -6*m**3 + 11*m**2 - 9*m - 3. Let g(i) = 7*i**3 - 12*i**2 + 10*i + 3. Let k(d) = -6*b(d) - 5*g(d). Let o = 17 - 12. Give k(o).
-2
Let w be 2/(-4)*(-30)/5. Let h(o) = -o**w - o**3 + 3*o - 2 + 3*o**3 - 4*o**2. Calculate h(3).
-2
Let c(z) = -z**3 + 6*z**2 - 6*z - 3. Let i(m) = m**2 - m + 14. Suppose 7*q = 2*q. Let n be i(q). Suppose 2*f - n = -4. Give c(f).
-8
Let x(b) be the second derivative of -b**5/20 - b**4/4 - b**3/6 + b**2 - 2*b + 37. Calculate x(-3).
5
Suppose -5*r = -3 - 27. Let s(c) = -3*c + 7. Determine s(r).
-11
Let w(k) = -2*k + 2*k**2 + k**2 + k - 2*k**2. What is w(-2)?
6
Let q(l) = l + 4. Suppose 3*w - 4*i = 7*w + 12, -3*i = 9. Suppose h + w*j - 2 = -j, 0 = 4*j + 4. Let u be (1 - h)*(2 + -5). Give q(u).
10
Let s(i) = -2*i + 3*i**2 - 3 - 2*i**2 + 0*i**2. Give s(4).
5
Suppose -t + 18 = -5*z, -4 - 8 = -t + 3*z. Let s(y) = 2*y**t + 0*y - 3*y - 3*y**3 - 6*y**2 - 3*y - 7. Determine s(-5).
-2
Let o be (-6)/(-36) - 69/(-18). Let h(u) = 6 + 0*u**2 - 5*u + 5*u**2 - 3 - u**3. Determine h(o).
-1
Let r(x) = -x + 2*x + x + x**2 + 1 - x. Suppose -2*g = -3*p + 3, -p - 2*g - 7 = -0*g. Let c(b) = -5*b**2 - 10*b - 6. Let o(m) = p*c(m) - 6*r(m). Give o(4).
0
Let s(b) = 6*b + 1. Suppose 0*v = 2*v + 8. Let h be (3 - 5)/(v/(-2)). Determine s(h).
-5
Suppose 7 - 1 = 3*g. Let n(o) be the first derivative of 1 - o**g - 4/3*o**3 + 2*o. Determine n(-2).
-10
Suppose 5 - 29 = -4*u. Suppose 2*r - u = 0, 0 = 4*s + 4*r - 10 - 10. Let v be -4 - 1/s*-2. Let z(j) = j**2 + j - 2. Give z(v).
4
Let g(c) be the third derivative of -c**5/60 + 3*c**4/8 + c**3 - 4*c**2. What is g(7)?
20
Let k(h) be the second derivative of 2*h**3/3 + h**2 + 8*h. Suppose -3*d + 2*d - 2 = 0. What is k(d)?
-6
Let r(s) be the second derivative of s**4/6 - s**3/6 + s**2/2 + s - 18. Give r(4).
29
Let k(s) be the second derivative of s**4/6 - s**3/6 + s**2 + 8*s. What is k(2)?
8
Let i(o) = -o - 12. Let c(t) = 2*t + 23. Let m(h) = -3*c(h) - 5*i(h). What is m(-8)?
-1
Let x(b) = -2*b - 6. Let m = 2 + -2. Let p be (-12)/(-9)*(3 - m). Suppose 3*g + 25 = -2*s, -2*s - p*g - 13 = 17. Determine x(s).
4
Let o(c) = -c**2 + 4*c + 4. Let w be 18/4 + 27/(-18). Suppose 9 = -w*m - 6. Let i be 3 - (3 + 1) - m. Give o(i).
4
Let f(n) = -n + 6. Let c = 9 - 6. Suppose c*u = -3*u. Calculate f(u).
6
Let t(l) = l - 10 - 2 + 6. Calculate t(6).
0
Let g(w) be the third derivative of -w**5/60 - 5*w**4/24 + w**3/3 + 14*w**2. Determine g(-7).
-12
Let b be (-1 - 0/(-4))*-1. Let j(x) = 2*x + 1. What is j(b)?
3
Let n be 4/6 + 14/6. Let z = 2 + 3. Suppose p + n*q = -1, 8*p + z*q - 15 = 3*p. Let j(c) = -c + 12. Give j(p).
7
Let f(n) = 5*n - 1. Let t(h) = -2*h - 7. Let b be t(-8). Let w(p) = -2*p. Let s(y) = b*w(y) + 4*f(y). Suppose 2*u - 5*u + 12 = 0. Give s(u).
4
Let u(y) = 8*y + 6. Let r(h) = -7*h - 6. Let k(m) = -7*r(m) - 6*u(m). Let f be (-4)/6 + 24/9. Let s(a) = -a**2 - 1. Let n be s(f). Calculate k(n).
1
Let w(c) = | {
"pile_set_name": "DM Mathematics"
} |
e.
n**(-9193/132)
Simplify ((s**(-25)*s)**(2/7))**(2/3) assuming s is positive.
s**(-32/7)
Simplify (x**(1/3)/(x*x*x*(x/(x/(x*x**(-2/13)))*x)/x*x))/(x**(-1/2)/x*x*x*x*x*((x/x**(-10))/x)/x) assuming x is positive.
x**(-1249/78)
Simplify (p/(p*p/p**(-1)*p))**(-15)/((p/((p*p**(-14))/p*p))/p**(8/7)) assuming p is positive.
p**(225/7)
Simplify (f*f**19*f*f)/(f*(f*f/(f/f**5*f))/f)*(f**(-5)/f)/(f*((f/f**(-20))/f)/f*f) assuming f is positive.
f**(-10)
Simplify ((c*c**(1/5))/c)**(-1/4)*(c*c**2)/(c/(c*c**(4/13)*c)*c) assuming c is positive.
c**(847/260)
Simplify (q**13)**28/((q/(q*q**5))/q*q/(q/(q*(q*q*q**(-2/85)*q*q)/q))) assuming q is positive.
q**(31112/85)
Simplify ((n**(-1/4))**(2/9)*(n**(-2))**(1/55))**(-7/5) assuming n is positive.
n**(637/4950)
Simplify s**(-4)/s*s**(-14)/s*s**5*(s/(s/(s*s*s/(s/s**(-15)))))/s assuming s is positive.
s**(-29)
Simplify n**(-14)*n**0*n**(-2/9)*n**(-13/2) assuming n is positive.
n**(-373/18)
Simplify (x**(-1/6))**34*x*x/x**16*x**(-11) assuming x is positive.
x**(-92/3)
Simplify (d**44*((d**(-16/5)*d)/d)/d)**(-37) assuming d is positive.
d**(-7363/5)
Simplify (g*(g*g*g**(2/3)/g)/g)/g*g/(g*g/(((g*g**(-18))/g)/g))*(((g**(-2/25)/g)/g*g)/g)/(g/(g**(-11/5)/g*g)*g) assuming g is positive.
g**(-1921/75)
Simplify (f**0)**(1/8)/(f**(-12)/(f*f*f**2)) assuming f is positive.
f**16
Simplify (((p/p**(-1/4))/p**4)**(1/24))**18 assuming p is positive.
p**(-33/16)
Simplify (o*o*o*(o*o**(1/2)*o)/o*o*o*o*o)**(-28)/((o*o**(2/3))/o)**(-18/11) assuming o is positive.
o**(-2606/11)
Simplify ((d/d**(-17))/(d/d**(-3)))/(d**(-11)/d**(-1/7)) assuming d is positive.
d**(174/7)
Simplify ((v*v/v**24)**(3/5))**(2/19) assuming v is positive.
v**(-132/95)
Simplify (j**(-28)/j*j*j)**(-24)*j*j*(j*j*j**(9/8)/j)/j*j**(-7/2)/j assuming j is positive.
j**(5173/8)
Simplify u**(-1/14)*u/(u/(u*((u*(u/((u*u**(-23))/u*u*u))/u*u)/u)/u))*u**(4/9)*u**(-2/97)/u*u*u assuming u is positive.
u**(285413/12222)
Simplify (b*b*(b*b*b*b**(3/7))/b*b**(6/13))/((b/b**(-2/9))/b)**16 assuming b is positive.
b**(1093/819)
Simplify (((b*(b*b*b**11*b)/b)**(-33))**46)**36 assuming b is positive.
b**(-765072)
Simplify ((k**(1/20)/k*k)/(k*k*k**15))**(-42) assuming k is positive.
k**(7119/10)
Simplify o**(2/21)/(o/o**(-1/11))*(o*o**(-4/11))/o**16 assuming o is positive.
o**(-3779/231)
Simplify (h**30/(h**(1/33)/h))/((((h/(h/(h*h**(1/32)))*h)/h)/h)/(h**(-1/8)*h)) assuming h is positive.
h**(33595/1056)
Simplify ((o**1/(o*(o**(-3)*o)/o*o*o))**(-22))**(3/7) assuming o is positive.
o**(-66/7)
Simplify ((u**(-12/5)/u)/u*u)**0/(u*u**(-1/8))**(-2/43) assuming u is positive.
u**(7/172)
Simplify (y*y**(-10))**(-30)*y**(-1/3)*y/((y/(y*y**23/y))/y*y)*y assuming y is positive.
y**(881/3)
Simplify r*r**(3/20)/r*r**(17/3)*r**(-25)/((((r/r**(17/2))/r)/r)/r) assuming r is positive.
r**(-521/60)
Simplify (((u*u**4)/u)/u)/u*u*(u*(u**(-3/7)*u*u)/u)/u*u**(-6/5)*u**10 assuming u is positive.
u**(433/35)
Simplify a/(a/(a*(a*a*a*a*a*a/((a**(-12)*a*a)/a)*a)/a*a))*(a/a**4)/a*a**5*a*a*a**(-13) assuming a is positive.
a**9
Simplify (t*t/t**9)**(-32)*(t**(-7)/t)/t**(-4) assuming t is positive.
t**220
Simplify (z**(-2))**(10/7)*((((z/z**(1/12))/z)/z*z)/z*z)/z**(-2/7) assuming z is positive.
z**(-223/84)
Simplify (l*l**(2/9)*l**(-6)*l)/(l*l**4)**(-18/13) assuming l is positive.
l**(368/117)
Simplify (r**2*r)**30/(r**(-2/7)/(r*r**(-3))) assuming r is positive.
r**(618/7)
Simplify d**(1/2)/d*d**(-6)/d*(d**(2/5))**26 assuming d is positive.
d**(29/10)
Simplify (d**10)**8*d**1/d**(1/12) assuming d is positive.
d**(971/12)
Simplify ((((y*y**(2/3))/y*y)**(-2/21))**(12/7))**43 assuming y is positive.
y**(-1720/147)
Simplify (((v**(-8))**(-11))**(2/37))**(4/11) assuming v is positive.
v**(64/37)
Simplify ((z*z**18)/((z*z/(z*z/((z**(-7)*z)/z))*z)/z*z))**23 assuming z is positive.
z**575
Simplify (i**18/i**2)/(i/(i*(i/i**(-2/5))/i)*i/i**(-5/7)*i) assuming i is positive.
i**(479/35)
Simplify ((v**3/v*((v*v**7)/v)/v)**(-11/3))**(-6) assuming v is positive.
v**176
Simplify (r**(2/7))**(-4/15)/((r*r/r**(1/5))/r**(-4/13)) assuming r is positive.
r**(-2981/1365)
Simplify (x/(x*x**(-4)))**(-4/37)*(x*x*x/x**(4/3)*x)/(x**15*x*x) assuming x is positive.
x**(-1639/111)
Simplify (w**4)**(-15)*w/w**(-8)*w*w*w**(-12) assuming w is positive.
w**(-61)
Simplify (((m*m/m**(-11))/m**17)**7)**(-24/7) assuming m is positive.
m**96
Simplify ((t**(-1/4))**23*t*t/(t**(-3/4)/t)*t**(3/2))**(-20) assuming t is positive.
t**10
Simplify (l**(19/2)*l*l/(l/(l*l**(7/8)*l)*l)*l)/(l**(-1))**(1/22) assuming l is positive.
l**(1181/88)
Simplify ((g**(1/3)/g)**(3/5)*g*(g*(g/(g/g**5))/g)/g*g**(1/4))**(-9/11) assuming g is positive.
g**(-873/220)
Simplify ((((t**(-2/3)*t)/t*t)**(-1/6))**33)**(3/38) assuming t is positive.
t**(-11/76)
Simplify ((c**(-1/12)/(c/(c*((c**0/c)/c)/c)))**(-6/37))**(-29) assuming c is positive.
c**(-29/2)
Simplify ((j/(j*j**(2/45)))/j**(1/2))**(-25) assuming j is positive.
j**(245/18)
Simplify ((l/(l**0/l))**(-1)*(l/l**(-2/7))**(-45))**(3/10) assuming l is positive.
l**(-1257/70)
Simplify (v*v/(v/(v*((v/(v/(v*v**(-17/4)/v))*v)/v)/v*v)))/v**(-9)*(v/(v**(-15)*v))/v**12 assuming v is positive.
v**(39/4)
Simplify (((b/b**(2/11))**18)**19)**(-6/17) assuming b is positive.
b**(-18468/187)
Simplify (f**(-1)*f*f**(2/23))/((f/((f/(f/(f/f**(-2/11))))/f))/(f**(-5/8)*f)) assuming f is positive.
f**(-721/2024)
Simplify (((d*d**(-27)/d)/d)/((d*d**(-2/65)*d)/d))/(d**(-28/5)*d/((d**21*d)/d)) assuming d is positive.
d**(-219/65)
Simplify (u*u/(u**2/u))**(-31)/(u/((u*u*u**(-1/3))/u))**46 assuming u is positive.
u**(-139/3)
Simplify ((b/b**(-6/11)*b**(-3)/b)**(3/34))**4 assuming b is positive.
b**(-162/187)
Simplify z/z**(-1/4)*z**2*(z*z**(-1/8)/z)**(-14) assuming z is positive.
z**5
Simplify (((f*f**(-10))/f)/f)/(f*f**(1/21))*(f**(-2))**(-32) assuming f is positive.
f**(1091/21)
Simplify ((v*((v**(-20/3)*v)/v)/v*v*v)**(7/6))**(1/2) assuming v is positive.
v**(-49/18)
Simplify (((v*v**(2/15)*v*v)/(((v/(v**(3/5)/v))/v)/v))/((v/(v/((v/(v/(v*v**(-9)*v))*v)/v)))/((v*v*(v/v**(-7/4))/v)/v)))**(-19) assuming v is positive.
v**(-15371/60)
Simplify (n**(-5))**41/((n*n/n**(1/3))/n)**(-18/11) assuming n is positive.
n**(-2243/11)
Simplify (y**(1/2)*y)**2*y**2*y*y/((y*y**25/y)/y) assuming y is positive.
y**(-17)
Simplify (z**(-5/2)*z*z**(-4/11))/(z**28*z**(3/5)) assuming z is positive.
z**(-3351/110)
Simplify (s**(-3/8)*s*s)**(11/3)/(s**4)**(-18/13) assuming s is positive.
s**(3587/312)
Simplify (p*p**(-2/3)/p*p)**(-2/41)/(p*p**(-2/7)*p)**(-4/37) assuming p is positive.
p**(5386/31857)
Simplify (p*p**(-2/17))**(17/4)/(p**(-1/21))**(-2/33) assuming p is positive.
p**(10387/2772)
Simplify (x**(-2)*x**6)/(x**(1/2)*x**3) assuming x is positive.
sqrt(x)
Simplify (f*f**2*f*f**(-11))/(f**(-3/14)*f)**(1/41) assuming f is positive.
f**(-4029/574)
Simplify y*y**(-6/7)/y*y**3*(y/(y*y**6)*y)/(y/y**(8/7)*y) assuming y is positive.
y**(-26/7)
Simplify ((r**(2/11))**(-4/9)/(r*r**2)**(-1/24))**42 assuming r is positive.
r**(245/132)
Simplify ((z*(z*z**(-2/7))/z*z**(2/3))**38)**(1/12) assuming z is positive.
z**(551/126)
Simplify (u/(u*u**(-3/4))*u*u*u**35*u)**(-3/31) assuming u is positive.
u**(-15/4)
Simplify ((v/((v**8*v)/v))/v**(-1/8))/(v**7)**(-28) assuming v is positive.
v**(1513/8)
Simplify (d**(-24))**(-8)*d**(2/65)*d**(-1) assuming d is positive.
d**(12417/65)
Simplify ((j**(5/2)/j**(-6))**(-35))**(-48) assuming j is positive.
j**14280
Simplify ((v**1)**15/(v/(v**2*v*v*v)*v**(3/5)))**8 assuming v is positive.
v**(736/5)
Simplify (b**(-2/85)/b*b*((b**(11/2)*b)/b)/b*b)/(b**7*b*b)**(2/137) assuming b is positive.
b**(124487/23290)
Simplify (((g**(-2/7)*g*g)/((g**(-6/11)/g)/g*g))**(-31))**7 assuming g is positive.
g**(-7781/11)
Simplify (i**(5/2)*i/(i/(i/(((i**(-1)*i)/i)/i)))*(i/(i**(1/5)/i)*i)/i**(4/5))**(-38) assuming i is positive.
i**(-285)
Simplify a**(-6/7)*a**1/a*((a*a/a**(-4/5))/a)/((a*a**(-7))/a) assuming a is positive.
a**(278/35)
Simplify (l/l**(-2/11))**(-4/5)*l/(l/(l**(-2)*l*l))*l**(-2/35) assuming l is positive.
l**(-386/385)
Simplify w*w*w/((w**(-1)*w)/w)*w/(w/w**(1/36)*w)*(w/(w**(4/5)/w*w))**(-3/34) assuming w is positive.
w**(9211/3060)
Simplify (((k**(2/3))**3)**(-3))**(-15) assuming k is positive.
k**90
Simplify l/((l**(-5/6)*l)/l)*l*l**(-1/10)*l*l*l**(- | {
"pile_set_name": "DM Mathematics"
} |
4
Let a = 28 + -26. Let w(d) = -2*d**2 + 2. Let p be w(a). Let c be 1/(2/p) + 3. Solve -5*i - 42 + 17 = c for i.
-5
Let c = -175 + 175. Solve -51*w + 52*w - 5 = c for w.
5
Let p(q) = 6 - 2*q - 4 - 3*q**2 + 4*q**2. Let v be p(3). Let b(j) = -j**2 - 85*j + 1620. Let f be b(16). Solve v*r = f*r + 1 for r.
1
Suppose 4*q = 8*q + 260. Let d = q - -67. Solve 0 = d*j - 4 - 2 for j.
3
Let q(x) be the first derivative of -11/3*x**3 - 8 - 1/4*x**4 - 11/2*x**2 + 6*x. Let m be q(-10). Solve 0 = -5*u + u + m for u.
4
Let b(s) be the first derivative of 5*s**4/4 - 2*s**3/3 + 3*s**2/2 - s - 18. Let u be b(1). Solve 0 = 6*a - a - u for a.
1
Let j(a) = -a**2 - 15*a - 22. Let y be j(-13). Suppose -5*n - 18 - 2 = 3*u, 0 = 5*u + n + y. Solve 0 = 5*b - u*b - 15 for b.
3
Let m(v) = -2*v - 5. Let s be m(-5). Suppose 0 = -c + 9 + 8. Let p be c + -18 + 2*2. Solve -p = -o - s for o.
-2
Let a(f) = -f**3 - 8*f**2 - 7*f + 10. Let o be a(-7). Let w = 11 - o. Solve 6 - w = 5*t for t.
1
Suppose 4*p + 5 + 24 = y, y = 5*p + 34. Suppose 3*c - y = -3*t, -c - 3*t + 0 + 3 = 0. Solve -4*b + 5 = -c for b.
2
Let y(j) = j**3 + 5*j**2 + 4*j - 1. Suppose -4*b - 2 = -2*n, -2 = -4*n + 4*b - 6. Let c be y(n). Solve 0 = c*a - 3*a - 8 for a.
4
Suppose 0 = -5*a + 118 + 37. Suppose 3*b = k + a, -b + 3*k - 7 = 7*k. Let w be (1 + 2)/(b/6). Solve -w*x + 1 = -x for x.
1
Let v be 3 - ((-232)/174 - (-34)/(-6)). Solve -23*j + v*j = -7*j for j.
0
Let u(o) = o**2 - 30. Let k be (42/105)/(1/15). Let a be u(k). Solve 2*b + 0 - a = 0 for b.
3
Let k be (-3)/(-7)*(-70)/(-10). Solve -5*m = k - 23 for m.
4
Let h be ((-3)/(3 + 0))/(-1). Solve 5 = m + h for m.
4
Let f be (-68)/(-20) - 2/5. Let q(d) = -d + 16. Let w(o) = o**2 + 6*o + 14. Let a be w(-6). Let m be q(a). Solve f*u - m*u = 0 for u.
0
Let r = 19 + -11. Suppose -r + 32 = x. Suppose y + 8 = g - 0*y, -x = -4*g + 2*y. Solve -w + g*w = -15 for w.
-5
Let d be 40/220 - (-2)/(-11). Solve 2*t + d = -4 for t.
-2
Suppose 3*u - 36 = 3*n, -u = u - 5*n - 27. Let r = u - 9. Suppose -r*a + 0*a = 0. Solve -2*m - 2*m - 8 = a for m.
-2
Suppose -4*y + 3*y + 5*j = -25, 0 = 5*y + 5*j - 5. Suppose n - 5*h = -2*n - 24, 4*n = y*h - 37. Let w = -13 - n. Solve 2*t + 2 + 2 = w for t.
-2
Let u(g) = -g**3 - 22*g**2 - 21*g + 17. Let b be u(-21). Solve 0 = -b*a + 13*a for a.
0
Let d be 8/(-44) - (-8)/(88/35). Solve 8 = -m + d for m.
-5
Suppose 0 = 7*r - 6*r + p - 12, 87 = 5*r - 4*p. Solve -r*d = -17*d - 10 for d.
-5
Let b = -12 + 12. Suppose -w + 8 = 3*w, b = 3*k - 4*w - 82. Let z be (36/k)/(6/15). Solve 0 = 2*c - z*c for c.
0
Let h = -209 - -217. Solve h*l = 3*l for l.
0
Suppose 0 = -9*q + 33 + 12. Solve -q*p - 3 + 18 = 0 for p.
3
Let y(p) = -p - 6. Let x be y(0). Let i be (8/x)/((-8)/12). Solve 2*w + 2 = -i for w.
-2
Let n be (1/(6/8))/(8/12). Suppose -r = -n*o - 2, 4*r - 5*o - 7 + 2 = 0. Solve 5*q + r = -25 for q.
-5
Let j = 352 + -206. Let d = 148 - j. Suppose 8 - 2 = o. Solve -4 - o = -d*r for r.
5
Let k(t) = -t**3 + 8*t**2 + 3*t - 18. Let p = 35 + -27. Let y be k(p). Solve -3*s = -s + y for s.
-3
Let x(s) = s**2 + 13*s + 36. Let h be x(-4). Solve i - 3 = -h*i for i.
3
Let n(q) = -3*q + 33. Let y be n(10). Suppose 0 = y*f - 5*a - 6, 0 = -4*a + a. Solve m - f = -m for m.
1
Let z(d) = -d**2 + 17*d - 28. Let r be z(15). Suppose 30 = -r*h + 8*h. Solve -i - h + 0 = 0 for i.
-5
Let o(g) = -2*g**2 + 6*g + 8. Let j be o(4). Suppose 2*b - 21 = -0*s + 3*s, b - 4*s - 18 = j. Solve -4 = -2*u + b*u for u.
-1
Let v be 123/(4 - 1 - 0). Solve -v = 10*q + 9 for q.
-5
Suppose 0 = 5*s - 30 + 120. Let j be (4/(-6) + 0)*s. Suppose -l + j = -4*r, 3*l = 9*r - 4*r + 15. Solve -k + l = -2 for k.
2
Let u be (-6)/(-10)*5 - -1. Let n be (u/(-7))/(-2) + 57/21. Solve -8 - 7 = n*p for p.
-5
Suppose 4*p - 5*p = 0. Suppose p = -3*n - 0*n. Solve n = -3*u - 2*u + 15 for u.
3
Let w = 9 + -7. Suppose c + m - 2 = 0, w*c - 4*c + 4*m - 2 = 0. Solve 4*f - c - 3 = 0 for f.
1
Suppose 4 = 53*j - 52*j. Solve -j*l + 27 - 7 = 0 for l.
5
Let m(j) = -j**3 - 7*j**2 - j - 2. Let h be m(-7). Suppose 0 = q - h*i - 22, -4*q + 4*i = -q - 44. Let k = -119 - -124. Solve 0 = -k*o - 13 - q for o.
-5
Let q be 6 + ((-12)/2)/3. Let z(x) = 3*x. Let p be z(q). Suppose 0 = 4*l - p - 8. Solve -l*w - 4 = -w for w.
-1
Let n(z) = z**2 - 30*z + 2. Let h be n(30). Solve -3*j + 3*j = -h*j for j.
0
Let j = -228 - -127. Let s = j + 102. Solve -i + s = 4 for i.
-3
Let l = -687 + 715. Solve -l = -j - 28 for j.
0
Suppose -30*a + 26*a + 56 = 4*g, 3*g - 3*a = 30. Solve -14*l - g = -18*l for l.
3
Let v(c) be the first derivative of 2*c**3/3 + 7*c**2/2 + 3*c + 2. Let y be v(-3). Let b(t) = t**2 + 9*t + 10. Let w be b(-8). Solve y = w*h + h + 3 for h.
-1
Suppose 2*n + 5*p - 25 = 0, -148*n + 35 = -147*n - 5*p. Solve -4*h = h + n for h.
-4
Let s(o) = -3*o - 4. Let j be s(-3). Suppose f + j*x - 11 = 0, -x - 4 = -3*x. Suppose -2*t + 6 = -q, 3*t - 4*q = -0*q - f. Solve -t*z = -0*z - 15 for z.
3
Let v(q) = -6*q + 35. Let f be v(4). Solve -f = p - 8 for p.
-3
Let j(g) = 42*g**3 - g. Let x be j(1). Suppose a = -5*o + 12, 3*a + 5 = -4*o + x. Let y = a + -6. Solve y*t = t for t.
0
Let z(f) = -f**2 - 56*f - 773. Let t be z(-31). Solve 4*o - 2*o = -t for o.
-1
Suppose 0 = -2*y + 1 + 5. Let k = -15 - -25. Suppose -p - 5 = -3*x, 2*x = -2*p + 4*p + k. Solve x = -y*i - 15 for i.
-5
Suppose -5*b - 4*i = -59, b + 3*i - 47 = -3*b. Suppose b*k = 7*k. Solve -2*p - 8 = -k for p.
-4
Let h(w) = 7*w**3 - 11*w**2 - 19*w + 18. Let g(p) = 6*p**3 - 11*p**2 - 18*p + 17. Let i(z) = 6*g(z) - 5*h(z). Let a be i(12). Solve -3*o - 2 - 1 = a for o.
-1
Suppose -7 = -3*b + 8. Solve 3 = -b*d + 8 for d.
1
Suppose -30*j + 613 = -227. Solve -j*z = -36*z - 32 for z.
-4
Let z = -52 + 55. Suppose -5*w = 0, 0 = 4*u - 0*u + z*w. Solve u = 3*q - 2*q - 5 for q.
5
Let q be (30 - -5)*4/10. Solve 0 = -q*p + 20 + 36 for p.
4
Suppose 0*j + 12 = 4*j. Let s = j + 5. Suppose -s*k = -3*k. Solve -8*l + 3*l = k for l.
0
Let j(m) = 7*m + 5. Let q be j(3). Suppose -4*u + 4*f + 28 = 0, -5*f - q = -3*u - 1. Suppose 5*b - 4*b = 0, 0 = u*r + 2*b - 10. Solve 1 = -r*w + 3 for w.
1
Let v(i) = -4*i**2 - 8*i + 9. Let t(l) = l**2. Let s(y) = -3*t(y) - v(y). Let o be s(-9). Suppose -m - 2*k = 0, 2*m + 2*k = -o*k + 2. Solve -3*z + z = -m for z.
1
Suppose -416*z = -411*z - 20. Let x = -4 + 7. Suppose a - f - 5 = x, -z*f = -12. Solve 5*v - a + 1 = 0 for v.
2
Let p(s) = s - 4. Let v = -35 - -73. Suppose 3*z = -2*l - z - 4, 5*l - v = 2*z. Let o be p(l). Solve -o = 3*k + 4 for k.
-2
Let w = 4 + -3. Suppose -z + w = -7. Solve 2*q + 0*q = -z for q.
-4
Suppose 21 = -11*i + 14*i. Suppose 3*v - 37 + i = 0. Solve -m - m = -v for m.
5
Suppose 0 = -l - 2*v + 4, -v = l - 0 - 4. Solve l*m + 2 - 10 = 0 for m.
2
Let o be 0 + 1 + (5 - (6 - 3)). Solve 5*m = -o + 18 for m.
3
Let s(q) = 2*q + 1 + 0*q - 5*q + 2*q. Let l be s(-1). Suppose -3*b = 4*u - 25, -5*b - 12 = -l*u + u. Solve -u*a + 3*a - 4 = 0 for a.
-1
Suppose 2*r + 209 + 47 = -4*z, -3*z - 202 = -r. Let d = 68 + z. Solve 0 = -5*u + d*u for u.
0
Let o be 9143/(-205) - -2*2/(-10). Let u = 57 + o. Solve 4*v - u = -0 for v.
3
Let f = -47 - -87. Suppose -9*g = -11*g + f. Suppose 0 = -0*m + 2*m - g. Solve -3*p - m = -p for p.
-5
Suppose 0 = 3*r + 3*l - 63, 57 = -4*r + l + 166. Let u = r - 21. Solve 0 = 3*a - 4*a - u for a.
-5
Let t(k) = k**2 - 5*k + 8. Let j be t(6). Suppose 2*z - 3*z = -j. Let q = 16 - z. Solve -q*u = -0*u - 4 for u.
2
Let x = -1717 - -1724. Solve -x*w - 12 = -10*w for w.
4
Suppose -2*w + 29 = -7. Suppose 2*q = q + w. Let j be (-18 + 1320/77)/(6/(-14)). Solve 5*d + q = -j for d.
-4
Let p(w) = -2*w**2 + 63*w - 19. Let o be p(31). Solve 9*g - o*g + 6 = 0 for g.
2
Suppose -4*q = 4*c - 8, -3*c + 0*c + q + 14 = 0. Solve -7 + c = -i for i.
3
Let w be (-1)/(2/(-16)*2). Let v be ((-6)/6*-7)/(-1). Let r(n) = -8*n - 48. Let c be r(v). Solve w*d - c = 8 for d.
4
Suppose 8*g + 2 = 6*g, 3*f - 17 = -g. Solve 2*k - 2 + f = 0 for k.
-2
Suppose -5*u = 5*p - 45, -4*u = -0*u - 5*p. Suppose u*b + z - 84 = b, -2*z = -3*b + 74. Suppose -2*n + 5 = -1. Solve 0 = -5*j + b + n for j.
5
Let j = 217 - 215. Solve -4*s = -2*s + j for s.
-1
Suppose -7*c - 14*c + 42 = 0. Solve -13 = c*o - 11 for o.
-1
Suppose 5*q - 5*p - 15 = 0, -8*q = -5*q - 4*p - 6. Solve -q - 6 = 6*i for i.
-2
Suppose 4*n = -n + 50. Suppos | {
"pile_set_name": "DM Mathematics"
} |
is 26306 to the power of 1/10, to the nearest integer?
3
What is the square root of 6824 to the nearest integer?
83
What is 21888 to the power of 1/5, to the nearest integer?
7
What is the cube root of 790 to the nearest integer?
9
What is the cube root of 3171 to the nearest integer?
15
What is the square root of 13450 to the nearest integer?
116
What is the square root of 1314 to the nearest integer?
36
What is the square root of 235 to the nearest integer?
15
What is 2601 to the power of 1/3, to the nearest integer?
14
What is the cube root of 4288 to the nearest integer?
16
What is the ninth root of 10774 to the nearest integer?
3
What is the third root of 536 to the nearest integer?
8
What is 17756 to the power of 1/2, to the nearest integer?
133
What is the fourth root of 17107 to the nearest integer?
11
What is the cube root of 59465 to the nearest integer?
39
What is 76556 to the power of 1/3, to the nearest integer?
42
What is the cube root of 194293 to the nearest integer?
58
What is the third root of 10379 to the nearest integer?
22
What is 56 to the power of 1/4, to the nearest integer?
3
What is 542 to the power of 1/8, to the nearest integer?
2
What is 16840 to the power of 1/3, to the nearest integer?
26
What is 4762 to the power of 1/5, to the nearest integer?
5
What is the eighth root of 139029 to the nearest integer?
4
What is 892 to the power of 1/2, to the nearest integer?
30
What is the square root of 512 to the nearest integer?
23
What is the third root of 2546 to the nearest integer?
14
What is 319 to the power of 1/2, to the nearest integer?
18
What is 2474 to the power of 1/9, to the nearest integer?
2
What is 46068 to the power of 1/10, to the nearest integer?
3
What is 12413 to the power of 1/7, to the nearest integer?
4
What is the square root of 3537 to the nearest integer?
59
What is the fifth root of 5085 to the nearest integer?
6
What is the cube root of 21198 to the nearest integer?
28
What is 29607 to the power of 1/3, to the nearest integer?
31
What is 54638 to the power of 1/2, to the nearest integer?
234
What is 26994 to the power of 1/10, to the nearest integer?
3
What is the fourth root of 1992 to the nearest integer?
7
What is the square root of 14083 to the nearest integer?
119
What is the ninth root of 8250 to the nearest integer?
3
What is 115499 to the power of 1/2, to the nearest integer?
340
What is 1572 to the power of 1/6, to the nearest integer?
3
What is 16 to the power of 1/4, to the nearest integer?
2
What is the cube root of 15395 to the nearest integer?
25
What is 8416 to the power of 1/8, to the nearest integer?
3
What is 30311 to the power of 1/10, to the nearest integer?
3
What is 1039 to the power of 1/10, to the nearest integer?
2
What is 19022 to the power of 1/2, to the nearest integer?
138
What is the fifth root of 73402 to the nearest integer?
9
What is 6682 to the power of 1/3, to the nearest integer?
19
What is the square root of 194 to the nearest integer?
14
What is 2160 to the power of 1/9, to the nearest integer?
2
What is 1062 to the power of 1/4, to the nearest integer?
6
What is the cube root of 5185 to the nearest integer?
17
What is 9952 to the power of 1/2, to the nearest integer?
100
What is the square root of 72773 to the nearest integer?
270
What is 2710 to the power of 1/5, to the nearest integer?
5
What is 4055 to the power of 1/9, to the nearest integer?
3
What is 7622 to the power of 1/2, to the nearest integer?
87
What is the square root of 98013 to the nearest integer?
313
What is the square root of 5049 to the nearest integer?
71
What is 104781 to the power of 1/3, to the nearest integer?
47
What is 6576 to the power of 1/7, to the nearest integer?
4
What is the fourth root of 11065 to the nearest integer?
10
What is the square root of 344 to the nearest integer?
19
What is the square root of 481 to the nearest integer?
22
What is the third root of 13191 to the nearest integer?
24
What is the third root of 6358 to the nearest integer?
19
What is 36432 to the power of 1/2, to the nearest integer?
191
What is the fourth root of 44340 to the nearest integer?
15
What is the square root of 53183 to the nearest integer?
231
What is 15776 to the power of 1/2, to the nearest integer?
126
What is 56664 to the power of 1/2, to the nearest integer?
238
What is the square root of 1461 to the nearest integer?
38
What is 2763 to the power of 1/4, to the nearest integer?
7
What is 17 to the power of 1/4, to the nearest integer?
2
What is 178141 to the power of 1/5, to the nearest integer?
11
What is the third root of 1754 to the nearest integer?
12
What is 22672 to the power of 1/7, to the nearest integer?
4
What is the cube root of 633 to the nearest integer?
9
What is the fourth root of 18016 to the nearest integer?
12
What is the cube root of 204 to the nearest integer?
6
What is the third root of 9712 to the nearest integer?
21
What is the fourth root of 195 to the nearest integer?
4
What is the square root of 6157 to the nearest integer?
78
What is the eighth root of 53026 to the nearest integer?
4
What is the cube root of 4527 to the nearest integer?
17
What is 8735 to the power of 1/6, to the nearest integer?
5
What is the third root of 26944 to the nearest integer?
30
What is the cube root of 1604 to the nearest integer?
12
What is 2304 to the power of 1/8, to the nearest integer?
3
What is the third root of 19455 to the nearest integer?
27
What is 147193 to the power of 1/2, to the nearest integer?
384
What is 39165 to the power of 1/5, to the nearest integer?
8
What is 174939 to the power of 1/3, to the nearest integer?
56
What is the square root of 3032 to the nearest integer?
55
What is 940 to the power of 1/9, to the nearest integer?
2
What is the seventh root of 932 to the nearest integer?
3
What is the square root of 1295 to the nearest integer?
36
What is the square root of 342 to the nearest integer?
18
What is the third root of 19322 to the nearest integer?
27
What is the square root of 11595 to the nearest integer?
108
What is the square root of 1600 to the nearest integer?
40
What is the cube root of 3612 to the nearest integer?
15
What is 845 to the power of 1/2, to the nearest integer?
29
What is the sixth root of 31539 to the nearest integer?
6
What is the cube root of 4572 to the nearest integer?
17
What is 708 to the power of 1/2, to the nearest integer?
27
What is 3910 to the power of 1/2, to the nearest integer?
63
What is 1050 to the power of 1/2, to the nearest integer?
32
What is the tenth root of 1526 to the nearest integer?
2
What is 1535 to the power of 1/2, to the nearest integer?
39
What is the square root of 47 to the nearest integer?
7
What is 25298 to the power of 1/9, to the nearest integer?
3
What is 89126 to the power of 1/8, to the nearest integer?
4
What is 1815 to the power of 1/3, to the nearest integer?
12
What is 112595 to the power of 1/2, to the nearest integer?
336
What is the cube root of 1087 to the nearest integer?
10
What is the third root of 3256 to the nearest integer?
15
What is 72 to the power of 1/2, to the nearest integer?
8
What is the eighth root of 1805 to the nearest integer?
3
What is 14387 to the power of 1/7, to the nearest integer?
4
What is 3227 to the power of 1/7, to the nearest integer?
3
What is 14186 to the power of 1/2, to the nearest integer?
119
What is the cube root of 22921 to the nearest integer?
28
What is the square root of 42829 to the nearest integer?
207
What is 161297 to the power of 1/6, to the nearest integer?
7
What is the cube root of 259 to the nearest integer?
6
What is 55598 to the power of 1/2, to the nearest integer?
236
What is the square root of 11847 to the nearest integer?
109
What is 767 to the power of 1/4, to the nearest integer?
5
What is 20678 to the power of 1/3, to the nearest integer?
27
What is 14423 to the power of 1/3, to the nearest integer?
24
What is the square root of 6671 to the nearest integer?
82
What is the cube root of 59144 to the nearest integer?
39
What is 2942 to the power of 1/2, to the nearest integer?
54
What is the cube root of 120264 to the nearest integer?
49
What is the ninth root of 15248 to the nearest integer?
3
What is 88661 to the power | {
"pile_set_name": "DM Mathematics"
} |
7. Is f a composite number?
False
Let t(d) = 1267*d - 27. Let z be t(16). Suppose z = 6*k - k. Is k composite?
False
Let j(d) = 7*d**2 + d + 4. Let y be j(-3). Let t = 61 - y. Is (t + -2)*((2 - 0) + -609) a prime number?
False
Let r be (200/(-2))/(26/(-6227)). Suppose -24*i + 66938 = -r. Is i a prime number?
False
Let w(m) = 6553*m**3 - 177*m**2 + 691*m - 7. Is w(4) a prime number?
True
Let i = 20113 - 827. Is i prime?
False
Suppose -322*g + 32086330 + 25219044 = 0. Is g prime?
True
Suppose 460*l - 15953972 = 167*l - 165*l. Is l a composite number?
True
Suppose 0 = 2*w + 4*k + 8, -k - 2 = -2*w - 0. Suppose -2*x + 7*x = 590. Suppose 4*m - 354 + x = w. Is m prime?
True
Suppose -4*l = -4*a - l - 100, a + 25 = l. Is (-3665)/(-3)*(-15)/a prime?
True
Let g(v) = 2*v - 28. Let z be g(14). Let l(w) = w**2 - 2*w + 3. Let j be l(z). Is (127/(-4))/(-1 - j/(-4)) prime?
True
Suppose -2*g = -4*y - 10, 5*g - 2*y - 2 = g. Is g - -1 - (-7934)/2 composite?
False
Let f(z) = 8*z - 267. Let g be f(5). Let a = 426 - g. Is a composite?
False
Let d(q) = q**3 - 7*q**2 + 10*q - 24. Let n be d(6). Suppose 5*s - 90 = 40. Suppose n*y + y = s. Is y composite?
True
Let j(t) = -2*t**2 + 25*t - 12. Let f be (-384)/(-112)*7/2. Let y be j(f). Is ((-2)/(-4))/((-4)/(-2672)) - y prime?
False
Let a = 191267 - 71818. Is a a prime number?
False
Let l(n) = -3*n**3 - 5*n**2 - 14*n - 33. Let z(f) = 4*f**3 + 5*f**2 + 15*f + 33. Let r(w) = 3*l(w) + 2*z(w). Is r(-10) a prime number?
True
Is 3/(-9) + (65419/3 - -9) a composite number?
True
Suppose 4*s - y - 21 = 0, -4*y - 14 = -7*s + 5*s. Suppose -3*p + 2*x = -2625, p - 863 = s*x - 1. Is p a composite number?
False
Let u = 103723 - 53052. Is u a composite number?
False
Suppose -3*x = -3*j - 422394, 2*x + j + 26806 = 308381. Is x prime?
False
Let n be (-25)/(-3) + (-4)/3. Suppose -g + 2 = -5*i, 3*i + i = -g - n. Is (3 + 1096/(-3))*g prime?
True
Let v = -52030 + 83530. Let q be (v/(-24))/(9/(-12)). Let p = q + -313. Is p prime?
False
Let p be (9 - 2)*603 + 6. Suppose -3*o = -0*o - p. Is o prime?
True
Suppose 2*s - 5*n = 10125, -5*n + 5085 = s - 3*n. Suppose k - 4488 - s = -2*w, -k + w = -9572. Is k a composite number?
True
Let o be 1 - 3/((-15)/(-5)). Suppose o = 6*r - 12. Suppose 0 = -9*x + r*x + 469. Is x a composite number?
False
Let o be -13 + 1 - (-4)/(-2). Let n = 55 + o. Let v = n + 222. Is v a prime number?
True
Let m(h) = -19625*h - 533. Is m(-6) a prime number?
False
Is 166035 + (-3 + 7)*1 prime?
False
Suppose 3*j - 26 = 4*d, -3*j = -0*j - d - 20. Suppose p + 3 = -0, -3*y + 4*p = -j. Is y/(3*4/(-3522)) a composite number?
False
Let y(q) = q**2 + 10*q - 23. Let g be y(-12). Let a be 2358/(1 + 5) + g/(-1). Let v = 1559 - a. Is v a composite number?
True
Let k(o) = -111*o**3 - o**2 + 4*o. Let c(m) = 166*m**3 + m**2 - 6*m. Let u(v) = -5*c(v) - 8*k(v). Let z be u(2). Let q = -74 + z. Is q composite?
True
Suppose -9 + 3 = t - 4*q, -44 = -4*t - q. Suppose 14*u = 46 + t. Suppose -u*m + 572 = -496. Is m prime?
False
Let f(z) = -742*z + 32. Let l be f(8). Let b = 10595 + l. Is b prime?
True
Suppose 0 = 3*s + 3*n - 84, -s = -n - 30 + 2. Suppose 197 = 5*z + u, 189 = 9*z - 4*z - 3*u. Let x = s + z. Is x a prime number?
True
Suppose 3*z + 573 - 219 = 4*y, -4*z - 468 = -4*y. Let n = 120 + z. Suppose 130 - 4 = n*p. Is p composite?
True
Suppose 3*k + 47 = -3*z - 2*z, -2*k - z = 22. Let a(m) = 6*m**2 - 52*m + 26 + 34*m + 25*m. Is a(k) a prime number?
True
Let t(u) = 2710*u**2 + 111*u + 697. Is t(21) a prime number?
False
Let q = 1626977 + -1149594. Is q a composite number?
False
Suppose -61*k = -66*k, -2*d = 5*k - 131962. Is d a composite number?
False
Let y be (-1)/(-3 + 2177/726). Let p = y - -2765. Is p a prime number?
True
Let q(r) = 48258*r + 101. Is q(1) prime?
False
Is 6*(-75 - -77 - (1 + (-591591)/18)) composite?
False
Let m = 528 + -508. Is (0 + 2)*10610/m prime?
True
Let r(c) = -7823*c - 25. Let u be r(-25). Suppose 0 = 9*p + p - u. Is p composite?
True
Let w(p) = -26*p**3 + p**2 - p - 1. Let z be w(-1). Is (z/(-54))/(2/(-14648)) a composite number?
True
Let i = 70 - 121. Let d = -49 - i. Is (4202 + -5)*-3*d/(-18) composite?
False
Let i be 51 - 40/8*1. Suppose i*j - 31*j = 292755. Is j a composite number?
True
Let u(k) = 33980*k + 111. Is u(2) prime?
True
Suppose 0 = 9*r - 39 - 51. Suppose n + f = -2, -r*n + 11*n + 5*f = -18. Suppose t + 95 = 3*h, -2*h + n*t = -5*h + 89. Is h a prime number?
True
Let k(f) = f - 1. Let y be k(1). Let j be (0 + y)*19/38. Suppose -5*o + 1488 + 47 = j. Is o a composite number?
False
Let n(z) = 19*z**2 - 7*z + 14. Let p be n(18). Suppose 2*m = 5*g + 1911, -4*m - 2214 = -2*g - p. Is m a prime number?
False
Suppose 0*f - 4*f - 3*y + 63852 = 0, -2*y + 63848 = 4*f. Let h = -467 + f. Is h a prime number?
True
Suppose 0*k = 4*j - 3*k + 4, -4*j - 2*k = 4. Let n(o) = -24*o**3 + 2*o**2 - 2*o - 3. Let q be n(j). Suppose 6*v - 2885 - q = 0. Is v a prime number?
False
Let r(m) = 2*m + 164 + 144 - 334. Let l be r(4). Let w(n) = -n**2 - 21*n + 33. Is w(l) a prime number?
False
Let t = 1187 - 702. Is -14 - -10 - (-4 - t) a prime number?
False
Suppose -2578*x = -2605*x + 1217079. Is x a composite number?
False
Suppose 8 = -2*c, -5*w + 5*c = -7*w + 9434. Let g = -2974 + w. Is g a composite number?
False
Let d(q) = -q - q**2 - 4 + 2 + 1. Let t(v) = 2*v**2 + v - 1. Let j(x) = d(x) + t(x). Is j(-26) prime?
False
Let b(i) = 176*i - 26*i - 6*i - 121. Is b(7) prime?
True
Suppose -939784 = -14*a + 6*a. Is a composite?
True
Suppose 0 = 60*y - 36765 - 2835. Let f(s) = -48*s**2 - 3*s. Let k be f(3). Let u = k + y. Is u a composite number?
True
Suppose 3*u = d - 5*u - 157705, u + 630882 = 4*d. Is d composite?
False
Let u(x) = -1651195*x**2 - 9*x - 9. Let b be u(-1). Is (-12)/(-22) - b/209 prime?
True
Is 199293/(-8*(-36)/96) prime?
True
Let h = 151 + -35. Let o = 580 - h. Suppose -1307 = -11*l + o. Is l a composite number?
True
Suppose v = 4*v - 108. Suppose 75 = 3*l - v. Suppose 3*w + 5*r - 49 = 102, -5*r = w - l. Is w a prime number?
False
Suppose -2*u - u + 5867 = 5*a, 7866 = 4*u - 2*a. Suppose 6*q - u + 446 = 0. Is q a prime number?
False
Is -84542*4/(-6) - 2/6 a prime number?
False
Let y(g) = 279 - 89 - 25*g + 2*g - 96 - 90. Suppose -j + 4*t - 21 = 0, -6 = 4*j + 3*t + 21. Is y(j) composite?
False
Suppose 0 = -5*n - 5*q + 5035, -3*q - 440 - 4635 = -5*n. Suppose 3*o = -2*y - o + n, -4*y + 2060 = -4*o. Suppose 4283 = 9*d + y. Is d composite?
False
Let r be 76/19 - 60/(-3). Suppose r*t + 6809 = 37841. Is t a prime number?
False
Suppose 3*b = -4*o + 91244 + 54490, 0 = -2*o - 2*b + 72866. Suppose 5*p + 4*t - o = 3*t, 36425 = 5*p - t. Is p composite?
True
Let r be (-8 - -6)/((-3)/(-9228)). Let x = r + 11659. Is x a composite number?
False
Suppose 0 = -2*v + p + 323609, 0 = 14*p - 13*p - 5. Is v a composite number?
False
Let j = 243 - 212. Suppose -4*i + j*i - 134109 = 0. Is i prime?
True
Suppose -1283*c = -1286*c + 56139. Is c prime?
True
Let z = -962 + 1477. Let n(j) = 760*j + 2. Let x be n(2). Suppose 3*c - x = z. Is c a composite number?
True
Suppose -57*g + 56*g + 653657 = -2*m, -g - 4*m + 653627 = 0. Is g a prime number?
True
Suppose 14*t = -t + 7125. Is t*2 + (-8 - -11) composite?
False
Let w be 4 - ((-3)/(-9))/((-2)/60). Let i(k) = 2 + 5 - 10*k**2 + 12 - 6*k + k**3 + 22*k. Is i(w) a prime number?
False
Let u = 8 + -4. Suppose 0 = u*h - 4*p - 2068, 4*h - 2*p = -6*p + 2068. Suppose -4*s = 3*l - 2601 - h, -2*s = -5*l - 1572. Is s a prime number?
False
Suppose 0 = -101*j + 105*j + t - 1510982, 1133223 = 3*j + 3*t. Is j a prime number?
False
Let i = 415 + -505. Is ((-6)/(-15) + (-438594)/i)*3 a prime number?
True
Let f be 6/21 + 145/7. Let q = 26 - f. Suppose -140 = -q*r + 245. Is r a prime number?
False
Let v = 94 + -91. Suppose 8 = v*y - 4*t - 3, y + 5 = -3*t. Is (y/(-2))/(2/(-1516)) prime?
True
Suppose 763*m - 762*m - 3*f = 1239968, -5*m = -4*f - 6199829. Is m prime?
False
Suppose 8*i - t - 19 = 6*i, 3*t = 4*i - 39. Is -1*(85401/6)/i*-2 a prime number?
True
Suppose 3*s = -3*b + 1683, 0*b - 567 = -b - 3*s. Let l be (b/8)/(355/120 - 3). Let z = l + 2539. Is z composite?
True
Suppose 4*w = -3*f + 880865, 31*f + 293587 = 32*f - 3*w. Is f composite?
True
Let t(n) = 84447*n + 11150. Is t(7) a prime number?
True
Let h(c) = 636*c**2 + 30*c - | {
"pile_set_name": "DM Mathematics"
} |
the second derivative of x(q) wrt q.
-2574
Let g(u) be the second derivative of -4916*u**3/3 - 295*u**2 - 229*u - 11. What is the first derivative of g(q) wrt q?
-9832
Let z(g) = -80*g**3 - 7*g**2 + 83. Let i(d) = 53*d**3 + 5*d**2 - 55. Let w = 167 - 90. Let h = w + -72. Let s(c) = h*z(c) + 7*i(c). Differentiate s(a) wrt a.
-87*a**2
Let t(o) = 635*o**2 + 148*o + 96826. Let k(f) = 141*f**2 + 33*f + 21517. Let w(d) = 22*k(d) - 5*t(d). Differentiate w(l) wrt l.
-146*l - 14
Let q(k) = 7*k - 3. Let f be q(1). What is the first derivative of 59 - o + 2*o**2 + 14*o**2 - f*o + 3*o wrt o?
32*o - 2
Let q(b) = -4*b - 20. Let z be (264/14)/(-3) + (-8)/(-28). Let j be q(z). Find the second derivative of j*m - 128*m**3 - 12*m + 108*m**3 wrt m.
-120*m
Suppose 13*i = 7*i + 18. Find the third derivative of 2*l**5 - 49*l + 12*l**2 - 8*l**2 - i*l**2 - 35*l**6 wrt l.
-4200*l**3 + 120*l**2
What is the second derivative of -y**2 + 56275 - 56275 + 244*y**4 + 8*y**3 + 5106*y wrt y?
2928*y**2 + 48*y - 2
Let w(u) be the first derivative of -2*u**7/7 - 809*u**4/2 - 2*u**3/3 + 171*u**2/2 + 4*u - 5579. What is the third derivative of w(t) wrt t?
-240*t**3 - 9708
Let w(r) = r**2 - 1. Let i = 165 + -160. Let o(y) = -34*y**3 - 5*y**2 + 31*y + 5. Let u(c) = i*w(c) + o(c). What is the second derivative of u(k) wrt k?
-204*k
Let p(i) = -i**3 - 4*i**2 - 5*i - 3. Let o be p(-4). Find the first derivative of 622*y**3 - o + 89 - 3*y**4 + 6*y**4 - 647*y**3 wrt y.
12*y**3 - 75*y**2
Let s(t) be the second derivative of 367*t**8/8 - 8*t**4/3 + 19*t**3/6 - t**2 + 508*t - 7. What is the third derivative of s(z) wrt z?
308280*z**3
Let a be 8/5 - (-3)/(-5). Let l be (11/(77/2))/(a/7). What is the second derivative of 2*g + 43*g**2 - 10*g - 71*g**l wrt g?
-56
Let x = -118 + 137. What is the third derivative of 65*p**2 - 132*p**2 + 55*p**2 - 6*p**6 - x*p**6 wrt p?
-3000*p**3
What is the second derivative of 24*n - 1 + 8*n - 10*n - 5567*n**4 + 0 + 20*n wrt n?
-66804*n**2
Find the third derivative of -24*s**3 + 11*s**4 + 46*s**4 - 1202*s**2 + 25*s**3 + 16*s**4 - 24*s**6 - 61*s**4 wrt s.
-2880*s**3 + 288*s + 6
Let k be (-122)/(-2) - (7 + -3). Differentiate 37*n + 81*n + 46*n - 235*n - k wrt n.
-71
Find the second derivative of -16*d + d - 40 - 76*d**3 - 3*d + 314*d**3 - d wrt d.
1428*d
Suppose a = 4*x - 13, 2*x + x + 20 = 5*a. Let p = -342 + 345. What is the third derivative of 0*u**2 + 3*u**p - 4*u**3 - 11*u**3 - a*u**2 wrt u?
-72
Let z(c) = -12*c + 8. Let v be z(-4). Suppose 0*a - v = -4*a. Find the second derivative of -3*j - 18*j**2 + 10*j - 3*j + a*j wrt j.
-36
Let y(s) be the second derivative of -s**7/7 - 3*s**6/10 + 9*s**5/10 + 2*s**3/3 - 679*s**2/2 - 24*s - 115. What is the second derivative of y(j) wrt j?
-120*j**3 - 108*j**2 + 108*j
Let a(m) = 9*m**3 + 97*m**2 - 5. Let g = 69 + -77. Let p(r) = -13*r**3 - 145*r**2 + 8. Let u(z) = g*a(z) - 5*p(z). What is the third derivative of u(t) wrt t?
-42
Let s(z) be the third derivative of -7*z**6/120 - z**5/4 - 1149*z**3/2 + 3*z**2 + 367. Differentiate s(x) wrt x.
-21*x**2 - 30*x
Let y(o) = -7*o**2 + 109*o + 207. Let a(l) = -7*l**2 + 109*l + 234. Let g(r) = -5*a(r) + 6*y(r). Differentiate g(k) with respect to k.
-14*k + 109
Let t = -31 - -34. What is the third derivative of -97*s**3 - 22*s**3 - 4*s + 3*s**2 + 2*s - 33*s**t wrt s?
-912
Let c(d) be the second derivative of 0 + 0*d**2 + 59/2*d**4 - 174*d - 57*d**3. Find the second derivative of c(q) wrt q.
708
Suppose -8*k + 2*a = -5*k - 8, 2*k - 10 = -a. Find the third derivative of -4 + 49 - m**6 - 5*m**2 - 13*m**4 + k*m**2 + 29 wrt m.
-120*m**3 - 312*m
Differentiate 2763*r**2 - 821*r**2 - 3451 - 1263 + 1926*r**2 wrt r.
7736*r
Let s(f) be the first derivative of -1327*f**4 + 1312*f**3/3 - f**2 - 2*f - 1164. What is the third derivative of s(b) wrt b?
-31848
Let m(b) be the second derivative of -47*b**3/2 - 17*b**2 + 160*b. Let u(h) = 289*h + 67. Let i(l) = 5*m(l) + 3*u(l). Differentiate i(z) with respect to z.
162
Let w(c) = c**3 - 8*c**2 + c + 162. Let s be w(0). Find the second derivative of 184*n**5 + 62*n + 10*n**5 - s*n wrt n.
3880*n**3
Let o(v) = -21. Let i(l) = -3502*l + 4918. Let y(t) = i(t) - 2*o(t). What is the first derivative of y(x) wrt x?
-3502
Let z(b) be the second derivative of 3*b**7/14 - 16*b**4 + 1331*b**3/6 + b**2/2 - 59*b - 9. Find the second derivative of z(f) wrt f.
180*f**3 - 384
Suppose -525 + 414 = -3*j. What is the third derivative of 20*c**3 + j*c**3 - 14*c**2 + 2 + 4*c**3 + 10*c**3 wrt c?
426
Let p = -744 - -1510. What is the second derivative of -16*a**2 - 1552 - 10*a + 775 + p + 13*a**2 - 21*a**2 wrt a?
-48
Let q(r) be the second derivative of r**5/20 + 277*r**4/6 + 1112*r**3/3 + 493*r. Find the second derivative of q(j) wrt j.
6*j + 1108
What is the first derivative of 1369 + 658 + 3051*p**4 - 758*p**4 + 137 wrt p?
9172*p**3
Let t(c) = -4*c - 62. Let r be t(-16). What is the derivative of r*m - 72 - 19*m + 104 - 57 wrt m?
-17
Let i(v) = v**3 - 10*v**2 + v + 54. Let g be i(10). Differentiate 184*z + g - 82 - 57 wrt z.
184
Let t(r) be the second derivative of -763*r**5/10 - 179*r**3/6 - 3*r + 17. What is the second derivative of t(v) wrt v?
-9156*v
Let h(r) = r**2 + 2*r - 2. Let d(q) = -464*q**2 - 36*q + 390. Let w(a) = -2*d(a) - 36*h(a). What is the first derivative of w(j) wrt j?
1784*j
Let a(t) = -1850*t**3 + 6*t**2 + 180*t + 13. Let m(l) = 1851*l**3 - 7*l**2 - 173*l - 17. Let r(h) = 5*a(h) + 4*m(h). Find the third derivative of r(n) wrt n.
-11076
Let n(d) = 60*d**4 + 59*d**2. Let y be 138/(-23)*1/3. Let s(k) = -180*k**4 - 177*k**2. Let m(j) = y*s(j) - 7*n(j). What is the third derivative of m(v) wrt v?
-1440*v
Let x(c) be the second derivative of -5*c**6/2 - c**3/3 + 1877*c**2 - 1352*c. What is the first derivative of x(h) wrt h?
-300*h**3 - 2
Suppose -465*t + 418*t + 94 = 0. Let i(j) be the first derivative of -2/3*j**3 + t + 13*j + 0*j**2. Find the first derivative of i(p) wrt p.
-4*p
Find the third derivative of 451556 - 2729*j**6 + j - 451556 + 802*j**2 wrt j.
-327480*j**3
What is the third derivative of -1096 + 5888*g**6 + 3965*g**2 - 1041 + 2137 wrt g?
706560*g**3
Find the third derivative of 755*f**4 + 2273*f**4 - 567*f**4 - 1218*f**2 wrt f.
59064*f
Let a(b) = 2*b**2 - 9*b + 1. Let k be a(7). What is the third derivative of -132*n**4 + 3*n**2 + 4*n**6 + 15*n**4 - k*n - 3*n**6 wrt n?
120*n**3 - 2808*n
Let l be 96/36*-33*1/(-2). What is the second derivative of 2*w**2 - l*w - 46*w**4 - 12*w**4 - 3*w**2 - 41*w**4 wrt w?
-1188*w**2 - 2
Let n(t) be the first derivative of -2*t**5/5 + t**3/2 - 75*t**2 - 152*t - 28. Let u(q) be the first derivative of n(q). Differentiate u(o) wrt o.
-24*o**2 + 3
Let o(y) be the third derivative of 503*y**5/20 - 80*y**4/3 - y**2 - 285. What is the second derivative of o(b) wrt b?
3018
What is the second derivative of 7*v - 101 + 4*v - 926*v**3 - 45*v + 105 wrt v?
-5556*v
What is the third derivative of 292226*w**3 - 3*w**2 - 293323*w**3 - 113*w + 6*w**2 wrt w?
-6582
Let x = -157 + 241. What is the derivative of -46*t**2 - x + 195 - 208 - 147 - 6*t + 4*t wrt t?
-92*t - 2
Differentiate 62*p - 62*p + 465*p**2 - 1037 - 1877*p**2 with respect to p.
-2824*p
Let t(i) = 27*i - 209. Let s be t(8). What is the second derivative of 29*x**3 + s*x**2 - x**2 - 108*x - 4*x**2 - 13*x wrt x?
174*x + 4
Find the second derivative of 171*h**5 - 52*h**5 + 363*h**5 - 9978*h + 106*h**5 + 6*h**2 wrt h.
11760*h**3 + 12
Suppose -21*u + 48 = 16 - 52. Let d(i) be the third derivative of 2/3*i**3 + 16*i**2 + 0 + 3/5*i**5 + 0*i + 0*i**u. Find the first derivative of d(r) wrt r.
72*r
Suppose 0 = -19*o + 11*o + 32. Differentiate -273*u**4 + 46*u**4 + 102 + 0*u**o with respect to u.
-908*u**3
Let s(l) be the second derivative of 233*l**3/2 + 1103*l**2/2 + 4*l + 141. Differentiate s(i) wrt i.
699
Suppose -5*l + 11 + 9 = 0. Differentiate -47 - 72*p**4 + 31*p**l + 3*p**4 with respect to p.
-152*p**3
What is the second derivative of 144267 - 47*j - 144310 + 2*j - 2*j + 8769*j**2 wrt j?
17538
Let f(c) = -c + 4. Let t be f(2). Suppose 33*m + 2*a = 33*m, 0 = 4*m + 5*a - 8. What is the third derivative of 15*p**5 - 2*p**m - p**5 + 0*p**t wrt p?
840*p**2
Let j(m) be the first derivative of -1994*m**5/5 - 1190*m**3 + 2077. What is the third derivative of j(w) wrt w? | {
"pile_set_name": "DM Mathematics"
} |
) -2 (b) 4311 (c) 2
a
What is the closest to 110 in 3, 0.3, 0.1, 1/5, 4/3?
3
Which is the closest to -0.1? (a) -1411 (b) 1/3 (c) 3
b
What is the closest to -1/18 in 74, -15, 3?
3
Which is the nearest to -0.08? (a) 1 (b) 2/3 (c) 25
b
Which is the nearest to -2/481? (a) -1.2 (b) -3 (c) -2/11 (d) -0.11
d
Which is the closest to 0.2? (a) 2/9 (b) 21 (c) -0.7 (d) 1/4 (e) -12
a
What is the closest to 2.8 in 4, 1, 9, -0.028?
4
Which is the nearest to 2/5? (a) -2 (b) 411 (c) 2/9
c
What is the nearest to -0.2 in -4.3, 0, -43?
0
Which is the nearest to -0.3? (a) -3 (b) 4 (c) -60008 (d) -2 (e) -5
d
Which is the closest to 0? (a) -19 (b) -0.2 (c) 74
b
Which is the closest to 2870? (a) 2 (b) 0.3 (c) -0.06
a
What is the closest to -59 in -0.5, 0.4, -12/5, 3/7, 5?
-12/5
Which is the closest to -1? (a) 19/4 (b) 4/7 (c) -3/13 (d) -0.5
d
What is the closest to -2 in 1, 9, -0.2, -160?
-0.2
What is the nearest to -1.8 in 0.03, -27, 2/25?
0.03
Which is the nearest to 3? (a) -1/5 (b) -189 (c) -2 (d) 2
d
What is the closest to 7 in -0.2, -1, 3, 1?
3
What is the closest to -3/4 in 2/7, 2/23, 1/115, 6/5?
1/115
Which is the nearest to 8? (a) -2 (b) 246.78 (c) 1/4
c
What is the closest to -10 in 0.08, 4, 7.6?
0.08
Which is the closest to -0.04? (a) 6/19 (b) -5 (c) -30 (d) -0.2
d
Which is the nearest to 3? (a) 2/7 (b) 9 (c) 117 (d) 1/2
d
Which is the nearest to 0? (a) -5 (b) 1209 (c) -3 (d) 83
c
Which is the closest to 1? (a) -0.5 (b) -1.6 (c) 0 (d) -8 (e) -1/9
c
What is the nearest to -262/35 in 2/5, 2, -4?
-4
Which is the closest to 1/2? (a) -6 (b) -34.5 (c) 9 (d) 2/11
d
Which is the nearest to 1.4? (a) -11549 (b) 0.4 (c) -4
b
Which is the nearest to -4? (a) 404 (b) -3 (c) 1 (d) 13
b
What is the closest to 3 in -1, 0.427, -5/6?
0.427
Which is the nearest to 2? (a) -2 (b) -13 (c) -0.054 (d) -0.3
c
Which is the closest to 0.048? (a) -2/9 (b) -3 (c) -3/5
a
What is the closest to 125 in 0.5, -4, -5, 5?
5
Which is the nearest to 0.05? (a) -2 (b) 0.3 (c) 3 (d) 730
b
Which is the nearest to 0? (a) -1 (b) -15155 (c) 2/19 (d) -0.1
d
What is the closest to -1 in -3, 5/114, 0.27?
5/114
Which is the nearest to 1? (a) -0.05 (b) 4/3 (c) -11840
b
What is the nearest to -0.14 in 3, 10, -58?
3
Which is the nearest to 2/7? (a) -0.05621 (b) -4/3 (c) -6/11
a
What is the closest to 135 in -1/8, -2/19, -23/2?
-2/19
Which is the nearest to -1? (a) 3/2 (b) -2 (c) 548
b
Which is the nearest to 2/3? (a) -3 (b) -5549 (c) -2/5 (d) -2/17
d
What is the nearest to 0.11 in -3/17, 58, -4?
-3/17
Which is the nearest to -20? (a) -8 (b) -2/7 (c) 2 (d) 3/4
a
What is the closest to -1.932 in 5, -2/3, 0.0288?
-2/3
What is the closest to -1 in -3, 6, 295, -2/5, -2?
-2/5
Which is the nearest to 0? (a) -0.45 (b) 0.7 (c) -4 (d) 0 (e) 3
d
Which is the nearest to -1/13? (a) 0.4 (b) 5 (c) -2/15 (d) -2/19 (e) 1.2
d
Which is the nearest to 1/3? (a) -4 (b) -5 (c) -11.2 (d) -70
a
Which is the closest to 21? (a) 14 (b) -2/23 (c) -7
a
What is the nearest to 11 in 9, -1/4, 11/5?
9
Which is the nearest to 0.1? (a) -2 (b) -1 (c) -2/5 (d) 50 (e) 0.3
e
What is the closest to -1/2 in 5, -13, 3/25, -3, 0.5?
3/25
Which is the closest to 4? (a) -3 (b) 42 (c) 1
c
Which is the closest to -2/47? (a) -0.025 (b) -1 (c) -3
a
What is the closest to -0.644 in 3/7, 2/11, 4, -0.3?
-0.3
Which is the nearest to -4/9? (a) -4 (b) -0.3 (c) 6/29
b
What is the nearest to 0.07 in -4, 0.13, -21, -0.2, -0.4?
0.13
What is the nearest to -0.1 in -1/3, 5, -14.67, -1, 0.03?
0.03
Which is the nearest to 1? (a) -92 (b) 2/5 (c) -24.2
b
Which is the closest to 3/73? (a) -0.5 (b) 2/9 (c) -1 (d) -2 (e) 0.3
b
Which is the closest to -3391/2? (a) -0.5 (b) -0.1 (c) -2
c
What is the nearest to 1 in 60/11, 1/4, 29, -0.3, -1.7?
1/4
What is the nearest to 0 in 3, 54.3, 1/5, -3/4?
1/5
What is the nearest to -2/3 in 5, -80/7, -0.3, 2?
-0.3
What is the closest to -1 in -0.4, 3768, -0.1?
-0.4
What is the nearest to -7555 in 25, 1/5, 1/2?
1/5
Which is the nearest to 405? (a) -0.5 (b) 4 (c) 3 (d) 5
d
What is the closest to -72 in -1/7, -15, -0.1?
-15
Which is the closest to -2/11? (a) -21 (b) -0.4 (c) 0.1 (d) -6 (e) -9/4
b
What is the nearest to 29 in -0.3, -24, 5, 0.237?
5
Which is the closest to -6? (a) 0.3 (b) 5 (c) 4 (d) -0.3 (e) -4/5
e
What is the nearest to -2 in 147, -1/39, 4/5, 4?
-1/39
What is the closest to 0.33 in -2/5, 3, 9, 0.4?
0.4
Which is the closest to 14? (a) -1/2 (b) 0 (c) 1/249 (d) 1
d
Which is the nearest to -2/9? (a) -4 (b) 3 (c) -17 (d) 8 (e) 17
b
What is the closest to 0 in 1.2, -0.5, -1, 361?
-0.5
What is the nearest to -0.2 in 2/7, -1/4, 86, 0.186?
-1/4
Which is the nearest to 4? (a) 4/7 (b) 24 (c) -77
a
What is the nearest to -86 in -2/7, -2.8, -2?
-2.8
Which is the closest to 2/5? (a) -155 (b) 3 (c) 5 (d) 2/53
d
What is the nearest to -2/7 in -2/19, 0.6, -2/27, -3/2?
-2/19
What is the closest to -1 in 6, 14, -2/9?
-2/9
What is the closest to -0.3 in -22, 1, 2688?
1
Which is the nearest to 2/3? (a) 2/7 (b) -0.0073 (c) 2 (d) -9
a
Which is the nearest to 612? (a) -0.5 (b) 4/7 (c) 1/4
b
What is the nearest to -2/17 in -0.1, -1080/13, -3/4, -4?
-0.1
What is the closest to -2 in 3, -1, 1043, -0.9?
-1
Which is the closest to 0? (a) -338 (b) -3/11 (c) -4
b
What is the closest to 0.2 in 9, -3, -2/13, -3/58?
-3/58
Which is the closest to -5? (a) 0.08 (b) -1/2 (c) -5 (d) 2 (e) 3.9
c
Which is the nearest to -1/5? (a) -1/4 (b) -79 (c) 5
a
What is the nearest to 4974 in 0, -0.1, -4?
0
Which is the closest to 3/2? (a) -6 (b) 3 (c) -1/25
b
Which is the closest to -2/11? (a) 1500 (b) -1/4 (c) -0.2 (d) -0.3
c
Which is the nearest to -0.4? (a) 0 (b) -3/7 (c) 39 (d) 5 (e) -5
b
What is the closest to -4 in -422, -1/10, 3/2, -0.2?
-0.2
What is the nearest to 1/7 in -0.3, 1/15, -0.013?
1/15
What is the nearest to 1 in -28, 0.2, -0.4, 2/3, 0.4?
2/3
What is the nearest to 0.1 in 1, -11, 1/6, 4?
1/6
Which is the closest to -0.194? (a) 5 (b) 9/2 (c) -2/17 (d) -3/4
c
What is the closest to -1 in 9.4, 2, 23/2, 5?
2
What is the closest to -448 in 5, 0.97, -5/4?
-5/4
What is the closest to 2 in -24530, -4, 1?
1
What is the nearest to 1 in -887, 0.4, 5, -4, -3/2?
0.4
Which is the nearest to -2/7? (a) 2/7 (b) -1.78 (c) -3 (d) 4
a
Which is the closest to -0.4? (a) 33 (b) -0.2 (c) 4/7 (d) 6/5 (e) -0.12
b
What is the nearest to -0.17 in -2357, -4/3, -1?
-1
Which is the closest to -4? (a) -15895 (b) -0.4 (c) -3 (d) -2/3
c
What is the nearest to -2 in 264, 15, -0.1?
-0.1
Which is the nearest to 34? (a) -25 (b) -5 (c) 0.5 (d) -0.5 (e) -0.2
c
What is the nearest to 2/45 in 6/25, -1.2, 0?
0
What is the closest to -7 in 7, -3, -1?
-3
What is the closest to -0.01 in 0.4, 5/2, -0.2, -1027, -3?
-0.2
Which is the closest to -2/31? (a) 95 (b) -2/59 (c) 5
b
Which is the nearest to -0.024? (a) -12 (b) -0.5 (c) -0.2 (d) 30
c
Which is the closest to 1/8? (a) 0 (b) 2 (c) 4/7 (d) 11 (e) -142
a
Which is the nearest to 13/2? (a) -59 (b) 1/7 (c) 0
b
Which is the nearest to 1? (a) 0.4 (b) -0.6 (c) 0.12 (d) -0.1 (e) 4
a
What is the closest to 2/7 in 12.3, 7, -21, 1?
1
What is the closest to 12/49 in -1, 1.6, -11/4, -5?
-1
Which is the nearest to -1? (a) 1 (b) -16.6 (c) 2 (d) -1/2 (e) 3
d
What is the nearest to -0.2 in -2/7, 7, 1, -10?
-2/7
What is the nearest to 0 in -0.3, 2/7, -13, -159, -0.1?
-0.1
What is the closest to -3 in -5966, -2, -4/5?
-2
What is the closest to -0.00895 in 2, -4, 2/5, 1?
2/5
What is the closest to -0.03 in 0.105, 5, 3/4, 6?
0.105
What is the nearest to 0.1 in 4011, -3, -0.01?
-0.01
Which is the nearest to 2? (a) 4186/9 (b) 2 (c) -0.5
b
What is the nearest to -1/4 in 10, 5, -13?
5
What is the nearest to -4 in 5, -4585, 0.05?
0.05
Which is the nearest to 25/2? (a) -1/4 (b) -1/14 (c) -0.1 (d) 6
d
What is the closest to -1 in -1/6, 0.5, 2, -5, -0.11?
-1/6
Which is the closest to -1/4? (a) -0.5 (b) -4 (c) 94.2 (d) 5 (e) 0.3
a
Which is the closest to 0.1? (a) -1/2 (b) 0.02 (c) -6.9 (d) -5
b
What is the nearest to -4/9 in -2/5, 7/5, 0.3, 419?
-2/5
Which is the nearest to 1? (a) -1/2 (b) 2 (c) 0.5 (d) 87 (e) 0.4 | {
"pile_set_name": "DM Mathematics"
} |
of (-7)/(((-9)/(-36))/(-1 + c))?
1
Let d = 7138 - -9923. What is the hundreds digit of d?
0
Let d(x) = -3*x + 9*x + 40 + x**2 + 0*x**2 - 5*x. What is the tens digit of d(6)?
8
Let l(h) = -10*h**3 - 7*h**2 - 7*h - 2. Suppose -8*s = 5*m - 10*s + 28, -3*s + 16 = -m. What is the units digit of l(m)?
4
Let g be -24 - (-5 - (-1 + 0)). Let r be (-1)/(-5) + (-116)/g. What is the units digit of (675/10)/9*r?
5
Let l(h) = -4*h**2 - h - 1. Let t(m) = -9*m**2 + 2*m - 2. Let a(y) = -5*l(y) + 2*t(y). What is the units digit of a(-28)?
7
Suppose 5*x = 174 - 164. Suppose -x*r = 31 - 187. What is the tens digit of r?
7
Let c be (2/(3/(-3)) - 16)/(-2). Suppose c = -10*j - 11. What is the tens digit of 2485/28 + j/(-8)?
8
Let b = -12982 - -48909. What is the hundreds digit of b?
9
Let p(v) = -27*v**3 + 631*v**2 + 14*v - 54. What is the units digit of p(19)?
0
Suppose 0 = 18*u - 32359 - 449069. What is the tens digit of u?
4
Suppose 9*h + 42 - 78 = 0. Suppose -6 = -2*q - 0. Suppose 3*k + 210 = 3*s, -q*s - 70 = -h*s + 5*k. What is the tens digit of s?
7
Suppose 4*k + 39 = 119. Let i = k + -20. Suppose i*j = -j + 63. What is the units digit of j?
3
Let r = 503 - 204. Suppose 2*v - 1289 = -r. What is the hundreds digit of v?
4
What is the thousands digit of 315/18*(-30200)/(-70)?
7
Suppose h - 94 = -100, 4*h + 12922 = 2*c. What is the hundreds digit of c?
4
Let k(u) = u**2 + 14*u + 50. Let t be k(-6). Suppose -2*c - 5 = -3*c, -t*c + 1159 = 3*q. What is the units digit of q?
3
Let s be (2/4)/(2/(-4)) + -3. What is the units digit of (s + 5/2)/((-12)/632)?
9
Suppose -7*w + 11070 = 2*w. Let t = w - 850. What is the units digit of t?
0
Let z = -4 + 8. Let h = 1431 - 1428. Suppose -z*f + h*n + 52 = -224, -n = 4. What is the units digit of f?
6
Let y = 9580 - 2855. What is the hundreds digit of y?
7
What is the tens digit of 126/(-36)*728600/(-35)?
6
Let l(v) = -v**3 - 147*v**2 + 9*v + 5471. What is the hundreds digit of l(-148)?
0
Let c(o) = 238*o + 1355. What is the hundreds digit of c(74)?
9
Let m(c) be the third derivative of 4*c**6/15 - 7*c**5/60 + 3*c**4/8 + c**3/6 - 2*c**2 - 51. What is the hundreds digit of m(2)?
2
Suppose 0 = 4*c + c - 5580. Let s be c/(-20) + 1/(-5). What is the units digit of (6/(-8))/(21/s)?
2
What is the tens digit of (15 - -7681) + (-10 - -2)?
8
Suppose 12*d = 25 + 23. Suppose k + d = o + 2*o, 14 = 4*k - 2*o. Suppose 4*l + 5*p - 347 = 0, p - 185 - 254 = -k*l. What is the units digit of l?
8
Let m = -7321 - -12223. What is the tens digit of m?
0
Suppose 4*x - b = -3*b + 28, x = -b + 7. What is the hundreds digit of 217*(-3)/(-3) + x?
2
Let l = -3746 - -47907. What is the thousands digit of l?
4
Let g(k) = 2*k. Let s(h) = 11*h + 24. Let n(x) = 3*g(x) - s(x). What is the tens digit of n(-30)?
2
Let o(q) = -q + 8. Let v be o(6). Suppose -3*t = -v*t - 312. Suppose -4*a + 414 = 3*b, -2*b + t = 3*a + b. What is the tens digit of a?
0
Let m be (2/(-6))/((4/(-6))/2). What is the tens digit of m/(4 + (-4 - -1)) + 235?
3
Suppose -x = 4*a - 69350, 0 = -x + 541 - 543. What is the hundreds digit of a?
3
What is the thousands digit of (3 - (-210)/(-66) - (-973105)/(-55))*-1?
7
Suppose k + 3 = -2*a - 2, -4*a + 15 = -3*k. Suppose a = 5*m - i + 414, 0*m - 3*i - 169 = 2*m. Let j = 164 + m. What is the tens digit of j?
8
Suppose 0 = -i - 19 + 62. Suppose -4*z + i = 35. What is the hundreds digit of z + 1 - (2 - 144)?
1
Let p = -24821 - -45592. What is the ten thousands digit of p?
2
Let r(z) = -17*z + 9. Let x be r(0). What is the tens digit of 3*(-4 - (-480)/x)?
4
Let d(r) = r**3 + 15*r**2 + 21*r + 7. Let b be 2/(8/(-44)) - (-1 + 2). What is the tens digit of d(b)?
8
Let x = 5 + -14. Let l(w) be the second derivative of w**4/6 + 5*w**3/3 - 10*w**2 - w + 1. What is the tens digit of l(x)?
5
What is the thousands digit of ((-1137064)/(-30) - 3/9) + (-148)/(-740)?
7
Suppose -123 = 5*w + z + 6, 2*w = 4*z - 34. Let f(x) = -48*x + 42. What is the hundreds digit of f(w)?
2
Suppose 5203 = -2*l + 3*q + 19477, -35711 = -5*l + q. What is the thousands digit of l?
7
Let z = -1888 + 12778. What is the ten thousands digit of z?
1
Suppose 96 = -b + 2*z - 4*z, -2*b = 5*z + 192. Let r = b + 525. What is the tens digit of r?
2
Let o = -67 - -73. Let a = o + -2. Suppose 241 = a*q - 67. What is the units digit of q?
7
Suppose -2*k = -3*q - 167, k - 38 = 4*q + 58. Suppose 2*t = 2626 + k. What is the hundreds digit of t?
3
Suppose 5*u = 3*r + 49175 - 12146, -3*u - 4*r = -22171. What is the tens digit of u?
0
Let s = -10469 - -12319. What is the units digit of s?
0
Let g be (4/(-6))/(-4 - (-14)/3). Let o be 66 - (4 - 0/g). Let d = o + -54. What is the units digit of d?
8
Let l = 2202 - 895. Suppose -24*h - l = -33683. What is the hundreds digit of h?
3
Let s(b) = 1923*b - 272. What is the hundreds digit of s(6)?
2
Let b be (-361)/10 - 65/(-650). What is the units digit of (-2 - b/8)*2560/25?
6
Let v(c) = -c + 2330. Let l be v(0). Suppose 3*u = 5*h - l, 3*h + 2*u - 1374 = -u. Let t = -270 + h. What is the hundreds digit of t?
1
Let n be 4*(-25)/(-10) - -1. Suppose -n*y + 25 = -6*y. Let c = y + -2. What is the units digit of c?
3
Let r = -122 + 241. Let n = r + 110. What is the tens digit of n?
2
Suppose 12*w = -8*w + 40. Suppose 1284 = w*x - 4*g - 644, 0 = 3*x + 4*g - 2922. What is the units digit of x?
0
Suppose c - 904 = r + 14614, 0 = c - 5*r - 15530. What is the tens digit of c?
1
Suppose h - 4*h = 3*h. What is the hundreds digit of (h + 2)/((-18)/(-1557))*3?
5
Suppose 58678 = 173*y - 135766 - 191000. What is the thousands digit of y?
2
Let v be (569 + -3)/2 - 2*-2. What is the tens digit of (1476/v)/(0 - (-1)/126)?
4
Let x(a) = a**2 + 11*a + 27. Let h be x(-8). Suppose h*o + 1446 = 3*d, -5*d + 4*o + 629 = -1779. What is the hundreds digit of d?
4
Let n = 7858 + 11364. What is the units digit of n?
2
Let q = 36704 - 819. What is the hundreds digit of q?
8
Suppose 112*n - 55*n + 102*n = 3671946. What is the units digit of n?
4
Let i be (563/(-2))/((-11)/22). Let c = i - -50. What is the hundreds digit of c?
6
Let c = 366 + 30. Let k = c + -273. What is the units digit of k?
3
Let z = 18844 + 218. What is the thousands digit of z?
9
Suppose p - 2*p - 145 = 5*u, -4*p + 170 = -5*u. What is the units digit of u/(5/25*-2 - 0)?
5
Suppose 3*o = 2*w + o - 126, -3*w + 184 = -4*o. Let a = -2227 - -2208. Let z = a + w. What is the units digit of z?
9
Let b be (1 + -2)/(7/(-131901)). What is the tens digit of b/21 + (16/14)/(-4)?
9
Let q be ((-15)/10)/(3/(-6)). Suppose 0 = -5*r - q*g + 67, 38 = 5*r + g - 31. Suppose -62 - 1128 = -r*u. What is the tens digit of u?
8
Let f(g) = -5278*g**3 - g + 1. What is the tens digit of f(-1)?
8
Suppose -6*u = -7*u. Suppose 0 = 2*g + 10, 5*j + g - 2920 = 3*g. Suppose -8*b + 2*b + j = u. What is the units digit of b?
7
Suppose 118 + 3672 = 10*g. Suppose g - 71 = 4*v. Suppose -r = 1, -3*l + 3*r + v = -223. What is the tens digit of l?
9
Suppose -17*s - 8773 + 125238 = -27797. What is the thousands digit of s?
8
Let s = -175 + 28. Let u(j) = -6*j**2 + 9*j + 6. Let f be u(-6). Let z = s - f. What is the hundreds digit of z?
1
Let b be (-21)/6*(1 - (-1 - 0)). Let l(q) = 6*q + 6 + 2*q**2 - 7*q + 6. What is the hundreds digit of l(b)?
1
Let l = -31970 - -53752. What is the hundreds digit of l?
7
Let r(w) be the first derivative of -w**4/2 + 2*w**3 - 3*w**2 - 17. Let m be r(3). What is the tens digit of (4 - (-204)/m)/((-2)/21)?
7
What is the hundreds digit of (-11 - 78/(-6)) + (0 - -3460)?
4
Let p(g) be the third derivative of 5/8*g**4 - 21*g**2 - g - 1/5*g**5 + 0 + 8/3*g**3 + 1/120*g**6. What is the tens digit of p(11)?
6
Suppose h + 2817 = -5*u, 4*u + 3*h + 1649 = -598. Let q = u - -927. What is the hundreds digit of q?
3
Suppose 2*q = r - 11768, 3*q + 1041 = 4*r - 46046. What is the units digit of r?
4
Suppose -6*n - 10 = -8*n. Suppose 414 = 3*g + 2*v, 4*g = n*g + 2*v - 138. Let a = -8 + g. What is the units digit of a?
0
Let p be 4 - 54/15 - 454/10. Let o = 87 - p. Suppose o + 388 = 2*x. What is the hundreds digit of x?
2
Let x(k) = k**3 - 10*k + 24. Let v be x(14). Let h = -1407 + v. What is the tens digit of h?
2
Let j(z) = 3 + 18*z + 5 + 9*z**2 + 2*z**3 - 3*z**3 + 6*z**2. Let d be j(16). Let b = d + -14. What is the tens digit of b?
2
Suppose 0 = m + 3 | {
"pile_set_name": "DM Mathematics"
} |
hat is the difference between 21.48319225 and -14099?
14120.48319225
Calculate -0.8295315 + -45077382.
-45077382.8295315
Calculate -2815.8575 - -953.456.
-1862.4015
What is the difference between -473346 and -0.131306?
473345.868694
What is 18 take away 1023601232?
-1023601214
What is -5.55 - -6264839069?
6264839063.45
Calculate -0.025346323458776 - -5.
4.974653676541224
What is the distance between 0.06067 and 65497.981?
65497.92033
What is -0.112 - 647948097251?
-647948097251.112
Add together -183 and 1251811619424.
1251811619241
Put together -57604 and 43080140.
43022536
What is -7647861041 take away -277?
-7647860764
Add together -12999 and 2721651.
2708652
Add together -6775 and -0.17775123.
-6775.17775123
Calculate 249 + -110740087.773.
-110739838.773
What is -28.1 plus 425499270?
425499241.9
Calculate -41.8491 + 4416608.
4416566.1509
Sum -1.0058792468 and 21.
19.9941207532
17.363+1746782632
1746782649.363
What is the difference between -6 and 154.127027263?
160.127027263
What is -16892730 - -0.187405?
-16892729.812595
Add -224 and 204754148.
204753924
What is -53 less than -804727324.61?
-804727271.61
What is 289123018114 + 3?
289123018117
-0.06 - 233544.51451043
-233544.57451043
What is -47180457 less than 0.07753?
47180457.07753
645560 - -0.053996
645560.053996
Work out -0.16794 + 295488362.
295488361.83206
Work out -0.4430806 + 500330.
500329.5569194
Calculate -0.2 + -396850027.708.
-396850027.908
What is the difference between -11405220.816352 and 1?
11405221.816352
Sum -723 and -3961926.31.
-3962649.31
Total of -602977395335 and 0.048.
-602977395334.952
What is -87253066 less than 74534?
87327600
1985.3+672287727
672289712.3
Add together 317647 and 387073.
704720
Work out -0.7 - -803991287332.
803991287331.3
813.42500008222 + 3
816.42500008222
Sum -141239 and 1659947.
1518708
Total of 29858 and 15401405.
15431263
Calculate 3.971844466659 - 0.03.
3.941844466659
Work out 108075615 - -10790.
108086405
What is 5714 plus 30787260.111?
30792974.111
5+-106.1093074867
-101.1093074867
What is -33090112681 less than -6?
33090112675
Add 0.07993443788 and -0.9.
-0.82006556212
-5.1726144520004 - -0.06
-5.1126144520004
Put together 166281831339595 and 0.02.
166281831339595.02
Calculate -461358583 - 3652.
-461362235
Total of 1.91 and 4604511.477.
4604513.387
Calculate -7.872 - 31.977603.
-39.849603
Sum 5514.3 and -634.53379.
4879.76621
What is the distance between 0.14 and -247265864.6075?
247265864.7475
0.07449673584+0.5
0.57449673584
-1202 - -255206284
255205082
-90501.7+737672.57
647170.87
Total of 0 and -145297.042189.
-145297.042189
Work out 1471 - 398950101.
-398948630
Add 0.2 and 2458633820341.
2458633820341.2
Work out 166.14980603 + -0.24.
165.90980603
What is 3010583413 less than -43538?
-3010626951
What is 146788369624 - -12.5?
146788369636.5
Total of -210392657724976 and -0.4.
-210392657724976.4
-214215358213 + -59
-214215358272
What is -4530 take away -43205093596?
43205089066
Sum 3999067502 and -18.
3999067484
What is 0.06 take away -14423032728?
14423032728.06
Total of 794 and 98963352.
98964146
What is -65767 less than -6839.18?
58927.82
-1.5369692 + -48.2648
-49.8017692
What is 113 minus 1502030382?
-1502030269
What is 2698273797.38701 - -0.3?
2698273797.68701
Subtract -1.551 from 105123261.
105123262.551
Subtract 1.6 from 0.02362481161377.
-1.57637518838623
What is 8266.933599 take away 1781?
6485.933599
Calculate -88411722945508 + 0.2.
-88411722945507.8
Subtract -44228129475 from -4485.
44228124990
-56134354.7 + 6.6
-56134348.1
Put together -158944958.8234 and 0.3.
-158944958.5234
Add together 1033 and 56.74399791.
1089.74399791
Total of -111548.4 and 1039.9982.
-110508.4018
-28781557+1347927
-27433630
Add together 3 and 232442872000156.
232442872000159
What is 26024252066.169 minus 5?
26024252061.169
Calculate -0.0277 + 14863.1589903.
14863.1312903
What is -2197991.11168 - -0.351?
-2197990.76068
Add together 23839 and -5949144.
-5925305
What is -0.1111968531194 + 220?
219.8888031468806
What is 110.881 + 268130.3?
268241.181
Sum 62868641571 and 0.07473.
62868641571.07473
Add 0.18 and -18341.320017.
-18341.140017
Sum 0.97843 and -1.20718194.
-0.22875194
Put together -13484255 and -0.21328.
-13484255.21328
What is 4.364877425 + 7012?
7016.364877425
What is -1 - 21229690987119?
-21229690987120
Add -500157063 and -1.2412.
-500157064.2412
What is 0.116 plus -2923.5867972?
-2923.4707972
Work out -78135834405766 - 0.4.
-78135834405766.4
-18233287014 + 0.01
-18233287013.99
Calculate 472466433 - -1399.
472467832
Work out -196656 + -5566301.
-5762957
What is the distance between -2 and -2330849249326?
2330849249324
What is -1647.7932 minus 38380.43?
-40028.2232
Work out 22036465 - -0.03025.
22036465.03025
Calculate 0 + -0.034674493584239.
-0.034674493584239
Put together -97174061583 and 5.
-97174061578
8946.82+32.12
8978.94
What is the distance between -2012843.37 and 3569?
2016412.37
Sum 1.61 and -0.230616585413.
1.379383414587
-896695828232 - -3
-896695828229
Total of 1438159252 and 68.
1438159320
Work out -30 - -4578995443659.
4578995443629
Subtract -513 from -0.842100415086.
512.157899584914
Add 1645734.066302 and 745.
1646479.066302
What is -7556.457 take away -339.69?
-7216.767
What is 0.9512 + 13145983.9?
13145984.8512
Add -4323 and -23115.32959.
-27438.32959
Subtract 82 from 2248182111.
2248182029
What is 83750025 - 314.7?
83749710.3
Sum -123.7 and -1.99613644.
-125.69613644
What is -2.6 - -48510060758?
48510060755.4
Subtract 0.5 from -81020431012.
-81020431012.5
What is -442.896 plus -65281356?
-65281798.896
Subtract -189 from 111.6023923791.
300.6023923791
Calculate -17640338.7 - -6842.
-17633496.7
Subtract 33858 from 0.068005108.
-33857.931994892
110936.203429 - -2499
113435.203429
Work out -303 + 1018.097108.
715.097108
What is the distance between -151.4 and -3201600879?
3201600727.6
What is 0.07396 - 3031996?
-3031995.92604
What is -85.525661919 - -3?
-82.525661919
What is -1905.37 + 0.16952?
-1905.20048
What is the difference between -706.031039043 and 4?
710.031039043
What is 1.1 + 55902729919208?
55902729919209.1
What is 3 minus 553.075227101?
-550.075227101
What is -0.1058 minus 8310325103?
-8310325103.1058
Add together 2180993016754 and -0.12.
2180993016753.88
Total of 147760156048 and 8319.
147760164367
Add -0.3 and -29.08388718664.
-29.38388718664
What is 6.90484939145 + -678?
-671.09515060855
Add together -1871399.52 and 2704.
-1868695.52
Calculate -4 - -1035489848.22.
1035489844.22
Add together 51.1077 and 0.3008326287.
51.4085326287
Calculate -169 + 594366.431.
594197.431
What is -25412040422 minus -9?
-25412040413
Subtract -2572126 from 1825279.
4397405
What is -25717 + -9593798?
-9619515
Work out 132888963.6063 - -4.
132888967.6063
What is the difference between -0.4907828 and -0.27294?
0.2178428
What is -0.1 take away 40989687022722?
-40989687022722.1
0.10959+0.307373993
0.416963993
Total of 16979397890 and -4.
16979397886
What is the distance between -0.038276 and -47399024?
47399023.961724
Add together -0.0914846601 and 4208.
4207.9085153399
-841 + -192218296941
-192218297782
What is 155584854498 minus 1208?
155584853290
-30656697179 - -3.6
-30656697175.4
Sum 0.07480003379 and 0.017.
0.09180003379
Add -1.6 and -0.21118219903.
-1.81118219903
Sum 2726629010454 and 259.
2726629010713
Calculate 3337849767 + -69.29.
3337849697.71
Calculate -0.02 + -0.02677495286.
-0.04677495286
What is -514246.8714481 + 1.11?
-514245.7614481
Calculate -4903648.1 - 256.2.
-4903904.3
Calculate -2210456147 + 0.1.
-2210456146.9
-268212.60422 + 136.9
-268075.70422
What is 60773 + -4411984.4?
-4351211.4
Add together -2494395 and -0.0699772.
-2494395.0699772
What is the distance between 0.06901 and 0.3053652391?
0.2363552391
What is 0.30698229 minus 8342.3?
-8341.99301771
Add together -264 and 728091985305.
728091985041
What is the difference between -21639663 and 0.010613?
21639663.010613
Total of -0.0193312502 and -581635.
-581635.0193312502
Sum -74636 and 1076.2259.
-73559.7741
1.0034 - 10.3534371
-9.3500371
0.5 + 1257103126026
1257103126026.5
What is 100644356 take away -3215?
100647571
Subtract 0.1 from -3.07009206336.
-3.17009206336
What is -1274402 - 0.16048?
-1274402.16048
Put together -0.7581 and -22301.428.
-22302.1861
3332 | {
"pile_set_name": "DM Mathematics"
} |
c*c**7))/c)/c**18*((((c*c**16)/c)/c*c)/c*c)/c**(-17))**(-34) assuming c is positive.
c**(-238)
Simplify (c**(-3)*c*c/c**6)/((c*c*c*c/(c/(((c*((c*c**(2/3))/c)/c)/c)/c)))/c*c*c**2)*(c/(c*c**0))**(-7/5)/(c**(-2/5))**(-4/15) assuming c is positive.
c**(-808/75)
Simplify ((r*r**(-18)/r*r*r*r*r*r*r**(-1/6)*r)/(r**(-1/4)*r*r**31/r))**(4/15) assuming r is positive.
r**(-103/9)
Simplify (w**(1/4)/w**(-4/5)*(w**1)**(-30))/((w*w/((w/w**1)/w))**(24/5)/((w**(-2/11)/w)/(w*w/(w**(-6)*w)))) assuming w is positive.
w**(-11337/220)
Simplify (f**(-1)*f*(f**(-8)*f*f)/f)**(-1/19)/((f*f*(f/(f/f**(-2)))/f)**27/(f**(1/3)/f)**(-3/2)) assuming f is positive.
f**(539/19)
Simplify (i*i*(i**1*i*i)/i)**(-3/4)/(i/(i/(i**(-2/13)*i))*i/(i/(i*i**(-5))*i)*i)*((i*i**(6/11))/i**(-2/5))/(i**3*(i**4*i)/i) assuming i is positive.
i**(-3504/715)
Simplify (f/(f/(f/(f/(f/(f*f*f**(-1/3))*f))))*f)**19/((f*f**(-3/5))/(((f**6*f)/f)/f))*(f/(f*f**4))/(f*f**2)*(f*f*f**3)/f*f/f**(-2/5) assuming f is positive.
f**(85/3)
Simplify ((o**0*o)**(-2/17)*o**8*o*o**0/o)/((o**(-2/9)*o**8)/(o**(2/7))**(1/21)) assuming o is positive.
o**(886/7497)
Simplify (u/(u*u**6))/(u/u**(-7))*u**(2/3)*u*(u*u**(-5))/u*u*u/(u*u/u**(-3/5)*u)*u**2*u/(u**(-1/5)/u*u*u*u)*u*u/u**(-3) assuming u is positive.
u**(-191/15)
Simplify (a**3)**31/(a**(-31)/a**41) assuming a is positive.
a**165
Simplify ((((y/y**(2/19))/y**(-3/5))/(y**2)**(-2/67))**42)**9 assuming y is positive.
y**(3739932/6365)
Simplify ((o**(-1)/o)**(-19)/(o**(-2/7)/o*o*o/(o*o*(o/((o*o**(2/3)*o)/o)*o)/o)))/(o**(-6)/((o**(-2/9)*o)/o*o))**(2/45) assuming o is positive.
o**(110339/2835)
Simplify ((q**(-18)/q**(-4/9))/((q/q**27)/((q*q**33)/q)))**(-46) assuming q is positive.
q**(-17158/9)
Simplify ((t/t**26)/t*t*t**(-4/27))/((t**(5/6)/t)/t*t*t/(t/(t/t**12))*t*t) assuming t is positive.
t**(-863/54)
Simplify (p**(1/2)*p**(-5)*p)**(-31)/((p**0/p)**(-43)*(p**(-2/5)*p*p)**(-4)) assuming p is positive.
p**(719/10)
Simplify b**(-5)*b/(b*b/b**(3/2))*((b*b**(-6/7)*b)/b)/b*b**(2/19)*(((((b**3/b)/b)/b)/b)/(b/(b/((b**1/b)/b))))/((b/b**6)/b**(1/10)) assuming b is positive.
b**(-101/665)
Simplify ((((b*(b**(-11)/b)/b)/(b**(-10)*b))**10)**(-2/23))**44 assuming b is positive.
b**(2640/23)
Simplify (((((x*x**22/x)/x)/x)/x**(2/25))/(x**(10/13)/x**(-13)))**(-25) assuming x is positive.
x**(-1999/13)
Simplify (((v/v**(8/9)*v**0)/(v**2*v)**20)**(-14/11))**49 assuming v is positive.
v**(33614/9)
Simplify q**(2/19)/q**(2/13)*(q**1)**3*((q*q*q**(1/3)*q)/((q/q**(-2/7)*q)/q))**12 assuming q is positive.
q**(47587/1729)
Simplify (((((d*d*d/(d**(-2/15)*d)*d*d)/d)/d**(-3/8))**(1/24))**31)**(1/16) assuming d is positive.
d**(13051/46080)
Simplify ((f**(-1))**(-37)*((f/(f**(-6)*f))/f)/(f/(f/f**5*f)))/((f**(-1/3))**(-8/5)*f*f/(f*f**(-2/9)*f)*f*f/(f*f*f*f**(-1/7))) assuming f is positive.
f**(12002/315)
Simplify ((((m/(m*m/(m*m**(-4)*m)))/m**10)/(m/(((m**(2/7)/m)/m)/m))**(-2/157))**(-1/10))**(-3/26) assuming m is positive.
m**(-657/4396)
Simplify (((d*d**(-44))/d)/(d*d/d**(-33/5)))/(d**31)**(-12) assuming d is positive.
d**(1597/5)
Simplify ((m/(m**(1/3)*m))**(-49)*(m**11*m)/(m*m*m/(m/(m**(-5/12)/m)*m*m)))**(-23) assuming m is positive.
m**(-2737/4)
Simplify (c**(-2/9)*c**2)**(-3/13)/(((c*c/(c/((c/c**(1/4)*c)/c)))/c)**(-3)*c*c**0*c*c**(-2/7)/c) assuming c is positive.
c**(1229/1092)
Simplify j**(4/3)*j*j**(-1/6)*j*(j*j**0*j)**(1/2)*j**(-1/8)*j**(2/3)*j*j*j**(3/5)*j*j*j*j**(-6/5)*j*j assuming j is positive.
j**(1333/120)
Simplify ((u**(-8)/u*u*u**(-4/5))/(u*u/u**(1/6)*u**(2/25)))/((u/(((u/u**(-3/5))/u)/u))/(((u*u**(-3/2))/u)/u*u*u))**19 assuming u is positive.
u**(-3511/75)
Simplify ((x**(2/17))**(8/7))**(2/5)/(x**14/(x*x**(1/2)*x))**45 assuming x is positive.
x**(-615761/1190)
Simplify b**(-10/13)/(b**18*b)*(b*b**16)/(b*b**14) assuming b is positive.
b**(-231/13)
Simplify (w**30/w**(-16))/((w*w**(-1/6)*w)/w)**18 assuming w is positive.
w**31
Simplify ((k*k/(k*k*k**36)*k*k**(-13)/k)/((k/k**(3/16))/((k*(k**(7/2)/k*k*k)/k*k*k*k)/k)))**(-25) assuming k is positive.
k**(17325/16)
Simplify ((o*o**(-18)*o)/o**12*(o**(3/5)/o)/(o*o/(o*o*o**(-5)/o*o*o)))**(-39) assuming o is positive.
o**(6318/5)
Simplify (c/(c**(-8)*c)*c*((c/c**(3/4))/c*c*c)/c)**(-2/105)/(c**(-9/2)/c**(-1/15))**(2/7) assuming c is positive.
c**(229/210)
Simplify ((z**(-22)/z*z*z**(-4))/(z/(z**(-8)*z))**36)**48 assuming z is positive.
z**(-15072)
Simplify (p*p**1)**(-17)*((p**(-5/3)*p)/p)/((p*p**(-1/3)*p*p*p*p)/p)*(p**(2/7)/p)**(2/37)/(p*p/((p**2/p)/p)*p/p**(3/2)) assuming p is positive.
p**(-63515/1554)
Simplify (d**(2/7))**(-16/5)*d**(1/9)/d**(-6)*((d*d*d**(-5/2)*d*d)/d*(d/(d*(d/(d**4*d))/d*d*d*d))/d)/(d**(1/2)/d**(-1/8)) assuming d is positive.
d**(15301/2520)
Simplify (((y*y**(1/2))**22*(y**(-1/4)/y*y*y)**(-42))**(-10/9))**(-36) assuming y is positive.
y**60
Simplify ((b**(2/11)/((b*b*b**(5/3))/b))/((b*b**(-2/39))/b**(2/21)))**(5/9) assuming b is positive.
b**(-50125/27027)
Simplify ((q*q**(-9))**(-17)/(((q**1/q)/q)/(q*((q*q*q**(11/2))/q)/q)))**(2/105) assuming q is positive.
q**(41/15)
Simplify ((b**(1/3))**(-44))**44*((b/b**(-4))/(b*b**(1/11)*b))/((b*b**(1/2))/(b**(4/7)/b)) assuming b is positive.
b**(-297691/462)
Simplify ((b**(-5)*b**(-2/9))/((b/((((b**(-4)*b)/b)/b)/b))/b**11))**(1/19) assuming b is positive.
b**(-11/171)
Simplify ((((q*q*q**(-2/5)/q)/(q/(q*(q**3/q)/q)*q))/(q**(-2/7)*q/q**(1/2)))**47)**(-2/23) assuming q is positive.
q**(-1269/805)
Simplify (d**24/d)/(d/d**(2/95))*d**(-9/5)/((d/(d**(-5/6)/d))/d) assuming d is positive.
d**(10481/570)
Simplify ((u/u**(-2/23))/u*u/(u**6*u)*u*(u/(u/(u**(-1)/u)*u*u))/u**(1/4))/((u**(-1/3))**26/(u*u**(-1)*u**(2/3))) assuming u is positive.
u**(47/276)
Simplify ((i**8*i)/(i/i**(-1)))**(2/5)*(i**(7/4)*i**(5/3)/i)/(i**0/((i*i**2/i*i)/i)) assuming i is positive.
i**(433/60)
Simplify (((t*t/t**11)/t)/t*t/t**(-1/5))**18*((t/(t*t/(t/(t*t/t**(-4/5)))*t*t))/(t/(t/t**1)))/(t**(-1/4)/(t**(-9)/t*t)) assuming t is positive.
t**(-3819/20)
Simplify ((((k**(-11/4)*k)/k)/k)/(k**(1/5)/k))**(-9)*((k/(k/(k/k**(-3/4))))/k*k*k**(2/13))/(k/(k*k/k**4)*k*k*(k*k**6)/k) assuming k is positive.
k**(2269/130)
Simplify ((x**(-1/3))**(-1/12))**7/((x/x**0)/x**(2/29))**(-49) assuming x is positive.
x**(47831/1044)
Simplify ((m/(m*m*m**(-4/17)/m))/(m/(m/((m*m**(-10)*m)/m)))*(m**(-17))**(-21/5))**(-17) assuming m is positive.
m**(-6854/5)
Simplify (((h**(-6/5)*h*h**(-3/4))/(h**(-1))**12)**(-6/11))**21 assuming h is positive.
h**(-13923/110)
Simplify ((p**8/(p/p**(1/24)*p))/(p**(-21)/p*p**16))**36 assuming p is positive.
p**(867/2)
Simplify ((z**(-1)/z)**1)**(-35)*(z*z**(-2)*z*z*(z**(-3/2)/z)/z)/((z**(2/13)/z*z)/z**1) assuming z is positive.
z**(1777/26)
Simplify (((n/(n/n**(-2/13))*n**(2/21))/(n**7*n**(-6)/n*n))**(-15))**47 assuming n is positive.
n**(67915/91)
Simplify ((z*z**(-1/3)/z*((z**(-11)*z)/z)/z*(z/(z**2*z))**(-2/37))**(-25))**34 assuming z is positive.
z**(1153450/111)
Simplify ((f**6/(((f*f**(-1)/f*f)/f)/f*f*f))/(f*f**(-4)/f*f*f*f**(-4)))/((f/(f/(f**(2/7)/f)))**46*(f**(-1/3)/f)**(-11)) assuming f is positive.
f**(634/21)
Simplify ((k/(k**7/k))/((k*k**(-1/9))/k)*k**(-1/5)/(k/k**(-1/20)))**28 assuming k is positive.
k**(-1547/9)
Simplify (((t*t/(t*t/(t/t**(-8/5)*t)))/t)**(23/4)*(t**(-11)/t)**29)**(1/23) assuming t is positive.
t**(-6661/460)
Simplify ((z/(z*(z**(2/7)*z)/z*z*z*z))**16)**(4/7)*((z*z**(-1/3))/z)**(-42/11)/(z/z**0*z*z**(-2/9)) assuming z is positive.
z**(-148178/4851)
Simplify ((w/w**(-1/8))/w**(-1))**(2/137)/((w**0)**(2/63)*(w*w/(w/(w*w**(-1/4))))**(-36)) assuming w is positive.
w**(34541/548)
Simplify (a*a**2/a)**18*a/(a/a**(-3))*(a*a**(-4))/a*(((a*a*((a/(a/(a/(a*a/(a*a**(1/6))*a))))/a)/a)/a)/a**(3/2))/(a**(2/5))**(-37) assuming a is positive.
a**(607/15)
Simplify (((k**(-1/2)/(k*k**(-2/19)))/(k**(1/6)/k*k*k**6))**25)**24 assuming k is positive.
k**(-86200/19)
Simplify ((p**3*p**(-1/3)/p)/((p/p**(-2/19))/p**4))/(p**(-1/10)*p*p**(-5)*p)**28 assuming p is positive.
p**(26038/285)
Simplify (j**42/j**(3/5)*(j/j**41)/(j*(j/(j/(j**45/j)))/j))**(-1/34) assuming j is positive.
j**(213/170)
Simplify ((b/b**1*b)**11)**(-11/7)/((b**(-2))**(-1/39)/(b**(-2/13)/(b**(-7)*b))) assuming b is positive.
b**(-3137/273)
Simplify ((r**(1/2)/r)/r)**(1/6)/(r**(-1))**43*(r*(r/(r/(r/((r/(r**(2/7)*r))/r))))/r)**(-35)*(r | {
"pile_set_name": "DM Mathematics"
} |
i(r).
2*r*(r + 2)
Let a(q) = 2*q**3 + 10*q**2 - 10*q - 2. Let s(i) = 3*i**3 + i**2 + i + 1. Let t(z) = -a(z) - 2*s(z). Determine f so that t(f) = 0.
-2, 0, 1/2
Let k(y) be the third derivative of -y**5/150 - 2*y**4/5 + 5*y**3/3 - 134*y**2. Factor k(s).
-2*(s - 1)*(s + 25)/5
Let k(y) = -3*y**2 + 3*y + 10. Let q be -3 - ((-3 - 0) + 0). Let h(g) = 1 - 2*g - g + q*g + 3*g**2 - 10. Let d(b) = -4*h(b) - 3*k(b). Factor d(c).
-3*(c - 2)*(c + 1)
Suppose 12 = 5*b - 8. Let r(g) be the first derivative of 0*g + 2/25*g**5 - 2/15*g**3 + b - 1/5*g**2 + 1/10*g**4. What is n in r(n) = 0?
-1, 0, 1
Let k be 27/6 - 200/80. Factor -1/4*h**5 + 3/4*h**4 + 0*h**k - 1/2*h**3 + 0*h + 0.
-h**3*(h - 2)*(h - 1)/4
Let c(f) be the first derivative of -2/15*f**3 + 2/5*f + 13 - 1/10*f**2 + 1/20*f**4. Solve c(d) = 0.
-1, 1, 2
Factor 255/4*u**2 + 1008*u - 256 + u**3.
(u + 32)**2*(4*u - 1)/4
Let n(q) = -17*q**4 - 3*q**2 + q**5 + 3*q**4 + 5*q**4 + q**3 + 8*q**4 - 6*q - 4. Let y(l) = l**4 + l + 1. Let g(m) = -n(m) - 4*y(m). Factor g(x).
-x*(x - 1)*(x + 1)**2*(x + 2)
Let 2/5*h**4 + 16/5*h**3 + 24/5 + 56/5*h + 46/5*h**2 = 0. What is h?
-3, -2, -1
Let f be (66/(-176))/(14/(-4) + 3). Let y(l) be the first derivative of -4*l**3 - f*l**4 - 15/2*l**2 - 6*l - 2. Solve y(d) = 0 for d.
-2, -1
Let d = 17 - 15. Factor 4*s**d - 3*s**2 + 10*s + 5*s**2 - s**2.
5*s*(s + 2)
Let p(q) be the second derivative of q**6/45 - 2*q**5/15 - 11*q**4/18 + 22*q**3/3 - 24*q**2 - 29*q + 10. Find u, given that p(u) = 0.
-4, 2, 3
Let g(f) be the first derivative of -43*f**3/2 - 33*f**2 - 3*f/2 - 84. Solve g(o) = 0 for o.
-1, -1/43
Let h(t) be the second derivative of -t**6/35 + 13*t**5/70 - t**4/42 - 13*t**3/21 + 4*t**2/7 + 9*t + 18. Solve h(l) = 0.
-1, 1/3, 1, 4
Let s(z) be the second derivative of 5*z**4/12 - 5*z**3/3 - 3*z - 39. Determine p so that s(p) = 0.
0, 2
Let q = 42548903/235105244 - 227/118084. Let k = 1/362 + q. Let -4/11*w**3 + 0*w**2 + 2/11 - k*w**4 + 4/11*w = 0. Calculate w.
-1, 1
Suppose -4*o + 1208 - 420 = 0. Let -100*q + 8 - 103*q + o*q + q**2 - 3 = 0. What is q?
1, 5
Let u(k) = k**3 - 23*k**2 + 78*k - 36. Let o be u(19). Solve 0 - 4/7*v + 10/7*v**o - 8/7*v**3 + 2/7*v**4 = 0 for v.
0, 1, 2
Let g(d) be the first derivative of -21*d**4/16 - 88*d**3 - 13425*d**2/8 - 1875*d/2 - 592. Let g(r) = 0. Calculate r.
-25, -2/7
Let n(s) be the first derivative of 15/2*s**4 + 0*s + 20*s**3 + s**5 + 20*s**2 + 14. Factor n(v).
5*v*(v + 2)**3
Let z(k) be the first derivative of -27/25*k**5 - 21/5*k**3 - 22 + 6/5*k - 9/10*k**2 - 15/4*k**4. Factor z(f).
-3*(f + 1)**3*(9*f - 2)/5
Let v(m) be the third derivative of m**8/336 - 53*m**7/42 + 220*m**6 - 19602*m**5 + 838530*m**4 - 3162456*m**3 - 17*m**2 + 7. Find k such that v(k) = 0.
1, 66
Let j(o) be the first derivative of o**6/11 - 2*o**5/11 - 29*o**4/11 + 80*o**3/33 + 138. Solve j(m) = 0.
-4, 0, 2/3, 5
Let h(f) = 2*f**3 + 293*f**2 + 4196*f - 3. Let n(d) = -7*d**3 - 878*d**2 - 12591*d + 8. Let r(x) = 8*h(x) + 3*n(x). Factor r(m).
-5*m*(m + 29)**2
Let n(g) be the third derivative of 1/360*g**6 + 2/9*g**3 + 0 + 1/8*g**4 + 19*g**2 + 1/30*g**5 + 0*g. Factor n(j).
(j + 1)**2*(j + 4)/3
Factor 81/5*l + 3/5*l**2 + 30.
3*(l + 2)*(l + 25)/5
Factor 1/5*m**4 + 9 + 12/5*m**3 + 84/5*m + 10*m**2.
(m + 1)*(m + 3)**2*(m + 5)/5
Factor -9576/5*h**3 - 684/5*h + 12/5 + 2352/5*h**4 + 10083/5*h**2.
3*(h - 2)**2*(28*h - 1)**2/5
Let x(a) be the third derivative of 1/504*a**8 + 10*a + 0*a**3 - a**2 - 1/90*a**6 + 0*a**4 + 0 + 0*a**5 - 1/315*a**7. Solve x(g) = 0.
-1, 0, 2
Let i be (-308)/84 + -1 + 4/6. Let y(g) = -2*g**3 - g + 4. Let u(w) = -w**3 - w + 2. Let l(x) = i*y(x) + 7*u(x). Factor l(j).
(j - 2)*(j + 1)**2
Let l be (-7 + 7)/(-3 - 0). Suppose 37 - 25*g + 3*g**2 + g + 11 + l*g = 0. What is g?
4
Suppose 0 = -392*v - 300*v - 69*v + 2283. Solve -2/5*i**4 + 4/5*i**v + 0 + 0*i + 0*i**2 = 0.
0, 2
Suppose 4*d = 8*d - 44. Find g, given that -d + g**3 + 1 + 3 - 9 + 24*g - 9*g**2 = 0.
1, 4
Let r = -3 - -7. Let i be 2/(-2) - (-5 - 1). Factor 2*k**r - 4*k**2 - i*k**2 + 3*k**2 + 4*k.
2*k*(k - 1)**2*(k + 2)
Suppose -76*m + 71 = -157. Factor 0*r - 2/9*r**m + 2/9*r**2 + 0.
-2*r**2*(r - 1)/9
Let s(r) be the second derivative of -2*r**6/15 + 7*r**5/5 + r**4 - 46*r**3/3 + 28*r**2 + 90*r. Factor s(u).
-4*(u - 7)*(u - 1)**2*(u + 2)
Let n(m) = 4*m**4 - 9*m**3 - 4*m**2 + 12*m - 3. Let s(q) = 12*q**4 - 28*q**3 - 12*q**2 + 36*q - 8. Let c(i) = -8*n(i) + 3*s(i). Factor c(o).
4*o*(o - 3)*(o - 1)*(o + 1)
Let c(i) = -12*i**2 - 10*i - 8. Let b(z) = 2*z. Let k(q) = 5*b(q) - c(q). Factor k(f).
4*(f + 1)*(3*f + 2)
Let b(t) be the second derivative of 12*t**2 + 23*t**3 + 0 + 37/10*t**6 + 5/14*t**7 + 95/4*t**4 + 267/20*t**5 - 2*t. Factor b(s).
3*(s + 1)**3*(s + 4)*(5*s + 2)
Suppose 4*m - 10 = -3*k, 0 = 3*m + 2*k - 6 - 2. Factor -3*r**2 + m*r**3 - 16 + 8*r**2 + 7*r**2.
4*(r - 1)*(r + 2)**2
Suppose 7*r - 4*r = -z - 12, -z - 5*r - 16 = 0. Let c be 6 + 28/z + 0 + -1. Factor 2/3*f - 1/3*f**2 - c.
-(f - 1)**2/3
Let -5*u + 5/3*u**2 - 650/3 = 0. What is u?
-10, 13
Let c(s) = -20*s - 116. Let r be c(-6). Let b(m) be the third derivative of -9/10*m**3 - 6*m**2 - 3/100*m**5 - 1/600*m**6 - 9/40*m**r + 0*m + 0. Factor b(y).
-(y + 3)**3/5
Let y be 4 - 33/9 - ((-104)/6 - -17). What is n in -5/6*n + 0 - 2*n**4 - 4*n**2 + y*n**5 - 35/6*n**3 = 0?
-1, -1/2, 0, 5
Let v(r) be the third derivative of r**5/480 + 21*r**4/32 + 125*r**3/48 - 649*r**2. Factor v(s).
(s + 1)*(s + 125)/8
Let q be (-2 - -6)*1/20. Let s(b) be the first derivative of 6 + 0*b + 1/30*b**6 + q*b**3 - 3/25*b**5 - 1/5*b**2 + 1/20*b**4. Find t such that s(t) = 0.
-1, 0, 1, 2
Let f(z) be the third derivative of 0*z + 1/735*z**7 - 10*z**2 - 2/21*z**3 + 0 - 5/84*z**4 - 1/70*z**5 + 1/420*z**6. Let f(s) = 0. What is s?
-1, 2
Let y(j) be the first derivative of -j**4/12 - 5*j**3/3 + 8*j**2/3 + 93. Factor y(r).
-r*(r - 1)*(r + 16)/3
Factor -230*x + 247*x + 54*x**3 + 4*x**5 - 20*x**4 - 3*x**5 - 52*x**2.
x*(x - 17)*(x - 1)**3
Let i(d) be the first derivative of 13/9*d**3 + 1/6*d**4 + 8*d - 7 + 4/3*d**2. Let n(g) be the first derivative of i(g). Factor n(t).
2*(t + 4)*(3*t + 1)/3
Find y such that 343/6*y**3 - 79092 - 1911*y**2 + 21294*y = 0.
78/7
Let g = -7614/5 + 59117/40. Let r = 45 + g. What is j in 1/8 + 1/4*j + r*j**2 = 0?
-1
Suppose 5 = -11*t + 10*t. Let p be t - (-1 + (-396)/39). Suppose 10/13*j - 280/13*j**3 + 1152/13*j**5 - p*j**2 + 960/13*j**4 + 2/13 = 0. Calculate j.
-1, -1/6, 1/4
Let p be 0 - (-2 + 0/3). Let m(y) = -2*y**2 - 14*y + 19. Let b be m(-8). Factor 2*i**4 - 3*i + i + 7*i**2 - 6*i**b - i**p.
2*i*(i - 1)**3
Suppose 0 = 148*v - 150*v + 10. Factor -8 + 4*z**2 - v*z**2 + 7*z**2 - 10*z**2 - 12*z.
-4*(z + 1)*(z + 2)
Find g such that -6*g + 20*g**2 + 1710*g**3 + 28*g**4 + 2*g - 1658*g**3 = 0.
-1, 0, 1/7
Let o = -311/24 + 105/8. Let g(k) be the third derivative of -o*k**4 - 1/105*k**7 - k**2 + 0*k + 0*k**3 + 1/10*k**5 + 0*k**6 + 0. Let g(h) = 0. What is h?
-2, 0, 1
Let l be 189/72 - (15/24 + -1). Let s(a) be the first derivative of 5/12*a**l + 1/4*a - 2 - 3/4*a**2. Factor s(y).
(y - 1)*(5*y - 1)/4
Suppose -39*b + 37*b = 0. Let s(g) be the third derivative of 1/9*g**4 + 4/9*g**3 + 1/90*g**5 + b + 0*g + 7*g**2. Factor s(d).
2*(d + 2)**2/3
Let h be 2/6*(1 - 0). Let x = -303/2 + 917/6. Factor 4/3*f**5 + h*f**3 + 0 - x*f**4 + 0*f + 0*f**2.
f**3*(2*f - 1)**2/3
Let g(o) be the second derivative of o**7/105 - o**6/60 - o**5/30 + o**4/12 + 9*o**2/2 + o. Let p(l) be the first derivative of g(l). Find w such that p(w) = 0.
-1, 0, 1
Suppose -44*j = -43*j. Let d(q) be the second derivative of 1/28*q**7 + 0*q**5 + q - 1/20*q**6 + 0 + j*q**3 + 0*q**2 + 0*q**4. Factor d(i).
3*i**4*(i - 1)/2
Let m(r) be the third derivative of -r**6/60 + r**5/6 + r**4/6 - 8*r**3 - 191*r**2. Solve m(l) = 0.
-2, 3, 4
Let r be 15 + (405/10)/(-3). Let 0*i**2 - 3/2*i**4 + 0 + 0*i - r*i**3 = 0. What is i?
-1, 0
Let t(c) be the third derivative of -c**6/780 + 2*c**5/195 - c**4/156 - 2*c**3/13 - 2*c**2 - 1. Solve t(n) = 0 for n.
-1, 2, 3
Let u(f) = -f**3 + 3*f**2 + 2. Let g be u(3). Let x be (-169)/(-234) + 2/(-9). Find i, given that -x + 1/2*i**3 + 3/2*i - 3/2*i**g = 0.
1
Let -8/3*y + 2/3*y**2 - 8 = 0. What is y?
-2, 6
Let n = -440/3 - -147. Let v(y) be the first derivative of 0*y**2 - 8 + 0*y + n*y**3. Fac | {
"pile_set_name": "DM Mathematics"
} |
it of p?
6
Suppose -3*w + 8 = 17. Let j(q) = q**3 + q**2 + q + 1. Let a(i) = 3*i**3 - i**2 + 2*i + 6. Let n(m) = -a(m) + 4*j(m). What is the tens digit of n(w)?
1
Let f be (-1 + 3)/(-4 - -5). Suppose -f*c = -q - q - 24, 4*c + 4*q = 32. What is the units digit of c?
0
Suppose 5*s = 4*j + 41, -2*j - 20 = -2*s - 4*j. Let i(l) = s*l**3 + 0*l**2 - 2*l**2 + 4*l**2 - l. What is the units digit of i(1)?
0
Let w(r) = -r**3 + 8*r**2 - 9*r + 14. What is the tens digit of w(4)?
4
Suppose 3*m = 2*t - 17, -8*m = 3*t - 3*m + 3. Suppose t*n - 19 = 33. What is the units digit of n?
3
Let a(c) = 6*c**2 - 1. Let w be a(-1). Suppose 4 - 14 = -w*k. Suppose 0*l + 4*z - 14 = -k*l, -5*l - 5*z + 35 = 0. What is the units digit of l?
7
Let t(k) = k**2 - 13*k + 6. Let o be t(13). What is the units digit of ((-188)/o)/((-10)/15)?
7
Let g be (2 - -1) + (0 - 0). Suppose z - y = 3*z - 9, z - g*y - 8 = 0. What is the units digit of z?
5
Suppose 0*t - d + 293 = 3*t, 0 = -t - 5*d + 121. Suppose u - t = -3*u. What is the units digit of u?
4
Let h(s) = -5*s - 2. What is the units digit of h(-1)?
3
Suppose -4*m - 3*y = -0*m - 28, 5*y - 16 = m. What is the units digit of m?
4
Let b be (-15)/(-2)*16/6. Suppose 0 = -2*u - 2 + 12. Suppose -u*y = -z + 3*z - 15, -4*z = b. What is the units digit of y?
5
Let s(w) = -w**3 - 4*w**2 - 3*w - 2. Let t be s(-3). What is the units digit of ((-2)/t - 2) + 2?
1
Suppose 0*y - 2*y = 0. Suppose 17 = t + 2. Suppose y*h + 5*h = t. What is the units digit of h?
3
Let x = 0 - -19. Let a = 49 - x. Suppose -z = 4*u - a, -5*z + 2*u + 10 = -3*z. What is the tens digit of z?
1
Let b(r) = 2*r**2 + 4*r + 3. Let p be b(-2). Suppose -2*f = -3*f - a + 4, -4*a + 16 = 3*f. Let h = p + f. What is the units digit of h?
3
Let l be 1*5 + (-14 - -11). What is the units digit of 3/6*(l + 8)?
5
Suppose -3*f = -8 - 10. Suppose -14 - f = -5*u. Suppose 3*y + 5*h = -0*y + 15, 0 = -u*y - 2*h + 34. What is the units digit of y?
0
Let g(f) = -f**2 + 4*f. Let u be g(3). Suppose 0*y - 7 = -o + 2*y, 0 = -5*y - 5. Suppose -2*s = 3*w - 23 + 1, u*s = -o*w + 36. What is the units digit of w?
6
Suppose -a - 5*u - 4 = 0, -4*a + 0*u = 3*u - 1. Suppose 52 = 4*d - j - j, 2*j = -2*d + 14. Let y = a + d. What is the tens digit of y?
1
Suppose -2*s + 16 = v, -1 + 50 = 4*v + 5*s. Let j = -4 + v. What is the units digit of j?
2
Let z be -1*(-3 + -1)/(-4). Let w(c) = -23*c + 2. What is the units digit of w(z)?
5
Let i = 152 - 61. Suppose -2*x + 72 = -b, -29 - i = -4*x - 4*b. What is the units digit of x?
4
Let k = -59 + 94. What is the units digit of k?
5
Let s(f) = 5*f - 2. Let h be s(-2). Let b = h - -17. What is the units digit of b?
5
Suppose 3*x + 30 = 6*x + 3*d, -2*x + 20 = -5*d. What is the tens digit of x?
1
What is the tens digit of (3/(-1))/(3/(-17))?
1
Let s(l) = 3*l**2 + 4 + 2*l**2 - 4*l**2 + 3. What is the units digit of s(0)?
7
What is the units digit of (79 - (-3)/(-3))*1?
8
Let r = 3 + -5. What is the units digit of (-1)/(134/(-66) - r)?
3
Let p(d) be the first derivative of d**4/4 - 2*d**3 + 4*d**2 - 4*d + 2. What is the units digit of p(5)?
1
Suppose -5 = -0*w - w. Let p(v) = 6*v - 9. What is the tens digit of p(w)?
2
Let v(o) = 2*o**2 - 2*o. Let f be v(2). Let d be -2 + (-12)/(-2 + f). Let m = -2 - d. What is the units digit of m?
6
Let v(p) = 6*p + 1. Suppose 0 = 2*j - 0*j + 2. Let o be v(j). Let i = 3 - o. What is the units digit of i?
8
Let h = 57 + -31. What is the units digit of h?
6
Suppose -4*l - 13 = -4*z - 5, 3*l = z. Let g = -1 + l. Suppose -2*w + 2*v + 8 = 0, g = 4*v - 0*v - 16. What is the units digit of w?
8
Let s = 129 + -11. What is the units digit of s?
8
Suppose 0 = -0*g + 2*g - 26. What is the tens digit of g?
1
Let t = 6 + -1. What is the units digit of t + (1 - -3 - 1)?
8
Suppose 0 = -2*n - 2*j + 4*j, -5*j = 2*n - 21. Suppose n*s + 12 = 6*s, -5*g - 2*s = -68. What is the tens digit of g?
1
Let k = -27 - -34. What is the units digit of k?
7
Let l(k) = -2*k**2 - 15*k - 8. Let y be l(-10). Let n = y - -86. What is the tens digit of n?
2
Let x(n) = n**2 - 5*n - 1. What is the units digit of x(-4)?
5
Suppose -3*h + 6*h - 198 = -4*r, -100 = -2*r - h. Suppose -y + 7 = 3*k, 5*y = k + r - 0. What is the units digit of y?
0
Let u = 142 + -122. What is the units digit of u?
0
Suppose -5*m - 48 - 27 = 0. Let x be 5/m + 68/(-3). What is the units digit of 1 - 2 - (x + 1)?
1
Suppose 2*a + 3*a = 70. Let j = -3 + a. What is the units digit of j?
1
Let r = -22 - -26. Suppose 0 = -r*l + 3*l + 36. What is the tens digit of l?
3
Suppose 19*w - 2*w = 459. What is the tens digit of w?
2
Let h(o) = -o**2 - 7*o - 4. Let j be h(-6). Suppose -21 + 1 = -j*f. What is the tens digit of f?
1
Suppose -5*g + 3 = -7. Let z(j) = 2*j**2 - 5*j + 3. Let p be z(3). Suppose -g*o - o + p = 0. What is the units digit of o?
2
Suppose -5*d + 15 = -5. Suppose -v - 3 = -d. What is the units digit of v?
1
Let k = -11 - -77. What is the units digit of k?
6
Let n(k) = -3*k. Let r = -13 - -10. What is the units digit of n(r)?
9
Let r(o) = o**2 - 12*o + 1. What is the tens digit of r(14)?
2
Let k(p) = -7*p - 1. Let j be k(-1). Suppose 8*m - j*m - 38 = 0. What is the tens digit of m?
1
Let v be ((0/3)/(-2))/(-2). Let j = -1 + 6. Suppose y - 29 = -3*r, v*y = r - j*y + 1. What is the units digit of r?
9
Let z = -169 + 295. What is the units digit of z?
6
Suppose -4*y + 133 = -5*k, -y - 3*k - 3 = -15. Suppose -f + 0 = 4, y = 5*h + 2*f. What is the units digit of h?
7
Suppose 2*z + 3*m = 80, -3*m - 42 = -z - 4*m. Let x be z - -3*(-4)/6. Suppose -6*c - 27 = -p - 2*c, -2*p = -3*c - x. What is the tens digit of p?
1
Let c = 25 - -57. What is the units digit of c?
2
Let l(a) = 10*a**2 + 3*a. What is the tens digit of l(2)?
4
Let o(v) = -v - 6*v + 0*v**2 - 5 - v**2 + 2. Let k(y) = y**3 + 3*y**2 - 2*y + 3. Let n be k(-4). What is the units digit of o(n)?
7
Let a be 3/(-6)*(0 - -62). What is the tens digit of -3*a/(-6)*-2?
3
Let y = -8 + -10. Let x be 9/y*74*-1. Let t = x - 21. What is the units digit of t?
6
Suppose 2*g = 4*g + 2*a - 12, -5*g + 5*a + 60 = 0. What is the units digit of g?
9
Let h = 29 - 27. Suppose 0 = 5*v - 9 - 86. Suppose h*f + w = 13, 5*f = -3*w + v + 13. What is the units digit of f?
7
Let o(w) be the first derivative of -w**3/3 + 7*w**2/2 - 6*w - 1. Let a be o(4). What is the units digit of (-10)/(-4) - (-3)/a?
3
Suppose -2*d - 3*x = -5*x - 264, 3*x + 260 = 2*d. What is the hundreds digit of d?
1
Let t(d) = 0 - 4*d - 3 + 3*d. What is the units digit of t(-5)?
2
Let g = 299 - 126. What is the tens digit of g?
7
Let i(j) = -9*j**2 + 6*j + 1. Suppose 0 = -0*m + m - 5. Let v(z) = -8*z**2 + 5*z + 1. Let o(r) = m*i(r) - 6*v(r). What is the tens digit of o(-2)?
1
Let h = 18 + 59. What is the tens digit of h?
7
Let o(b) = b**3 + 7*b**2 + 3*b + 3. What is the tens digit of o(-3)?
3
Suppose -20 = 5*x, 0 = -o - 0*o - 4*x - 8. Suppose -q + 3*q = o. What is the units digit of q/14 + (-248)/(-14)?
8
Suppose 4*v - 1 = 5*v. Let d = 5 + v. Suppose -2*h - 20 = -d*x, 5*x - 5*h - 28 = -h. What is the units digit of x?
4
Let i(l) = -l**2 - 23*l + 51. What is the tens digit of i(-22)?
7
What is the units digit of ((-10)/3)/5 + 685/15?
5
Let l(a) = -a**2 + 6*a - 6. Let y be l(5). Let i = y + 5. Suppose 4*u - i = 3*u. What is the units digit of u?
4
What is the hundreds digit of -6 + 660/(2 + 3)?
1
Suppose -6*h + 92 = -376. What is the units digit of h?
8
Let i(x) = 2*x + 7. Let l be (-1)/2*2*-10. What is the tens digit of i(l)?
2
Suppose 810 = 42*u - 37*u. What is the units digit of u?
2
Suppose 4*m + 24 = -4*w, -7 - 1 = -4*m + 4*w. What is the units digit of 0 - m - (-20)/2?
2
What is the units digit of (5 + -3)/(4/6)?
3
Let l(r) = r + 3. Let c be l(4). Suppose -225 = -c*g + 2*g. Suppose 2*j - g = -5. What is the tens digit of j?
2
What is the tens digit of ((-7)/((-42)/12))/(2/89)?
8
Let m(b) = -b - 31. Let n be m(0). Let k = -21 - n. What is the tens digit of k?
1
Let x = -10 + 16. Suppose x*n - 33 = 3*n. What is the tens digit of n?
1
Let r(b) = b**3 + 8*b**2 - 4. Let d be r(-6). Suppose -d = -5*f + f. What is the units digit of f?
7
Let v = 80 + -7. What is the tens digit of v?
7
Let l = 0 + -1. Let h = -11 - l. What is the tens digit of h/3*(-5 + 2)?
1
What is the tens digit of (111/(-9))/((-37)/12 + 3)?
4
L | {
"pile_set_name": "DM Mathematics"
} |
pose -b*t = -3731 - 8539. Is t a composite number?
True
Let v(n) = 10*n + n**2 + 5 + 16 - 2*n. Let p be v(10). Suppose a = -2, -3*c = -2*c + a - p. Is c a prime number?
False
Let a = 2933 - -16040. Is a a prime number?
True
Let g(n) = 202*n**2 - 10*n + 47. Is g(3) prime?
False
Let q(y) = 8*y**2 - 151*y + 43. Is q(40) prime?
True
Suppose -1786 = -10*f + 5664. Is f composite?
True
Let l = -801 + 5654. Is l composite?
True
Suppose -10 = f - 7. Let a(q) = 43*q**2 + 3*q + 5. Let n(v) = 129*v**2 + 8*v + 14. Let c(d) = 7*a(d) - 2*n(d). Is c(f) composite?
False
Let d = -55 - -60. Suppose d*p - 3*m = -5*m + 8969, 4*m = -12. Is p a composite number?
True
Let i(d) = -210*d + 131. Is i(-13) prime?
True
Let x = 4616 + -2265. Is x a prime number?
True
Let q = 29 - 20. Let a = -120 - -123. Is (127/a)/(3/q) prime?
True
Suppose 3*g = 8*g - 30715. Is g composite?
False
Let m(p) = p**2 - 1. Let h(g) = -g**2 - 12*g + 7. Let n(k) = -h(k) + m(k). Let i be n(11). Let o = i - 181. Is o a prime number?
False
Let h = 33 + -49. Let c = h + 24. Let k = c + 59. Is k a prime number?
True
Let o(q) = q**3 - 31*q**2 - 110*q + 139. Is o(43) prime?
True
Suppose 3894 = 16*z - 10*z. Is z composite?
True
Let y be 38/9 - (-8)/(-36). Suppose c - 2 = -2*a + a, 3*a + 8 = y*c. Suppose 2*q + a*q = 138. Is q a composite number?
True
Is ((-63239)/66)/(1/(-6)) prime?
True
Suppose 2184 = 3*k - 4*h, 0 = -3*k + 5*h - 697 + 2878. Let j = k - 379. Is j a composite number?
False
Suppose 410 = 3*d - 15556. Is d/(-15)*10/(-4) prime?
True
Suppose 5*n = -g + 1448, 2*g + 0*g - 2905 = -n. Suppose -5*b + g = 388. Is 2*(-2)/(-12)*b a composite number?
False
Let n = -1618 + 3928. Is (-1)/((-954)/n + (-4)/(-10)) composite?
True
Let a = 13814 + -8797. Is a prime?
False
Suppose -4*x = -3*u - 14527, -5638 = -2*x + 2*u + 1626. Is x prime?
True
Suppose -2*m - 4*l + 13 = -11, 4*m + 2*l - 18 = 0. Let b(i) = -6*i**m - 3 + 4 + 0*i**3 + 0 + 3*i + 2*i**3. Is b(6) prime?
False
Is 149/(-6*(-4)/24) prime?
True
Let q be -6*(-4 - -4 - (1 - 2)). Let z = 377 + -238. Let r = z - q. Is r a composite number?
True
Suppose 0 = -32*o + 190505 - 77065. Is o a prime number?
False
Let g = -3350 - -10574. Suppose t + w - 734 - 1072 = 0, -4*t + w = -g. Let m = t + -689. Is m a composite number?
False
Let v(d) = 4*d**2 + 8*d - 6. Let s be (0 - 2 - -3)*11. Let w be v(s). Suppose 4*u = -5*r + u + w, 2*u + 236 = 2*r. Is r a prime number?
False
Suppose -5*o - 6131 = -b, -6*o = -o + 10. Suppose -2*r = p - 7*r - 2072, -b = -3*p - 4*r. Is p a composite number?
True
Suppose -5*j + 14 = -6. Let h(d) = 117*d - 1. Is h(j) a prime number?
True
Let x(p) = -4*p - 10. Let k be x(-5). Let s be 36/k - 18/30. Suppose -284 = -h + 3*b + 2*b, h - s*b = 278. Is h a composite number?
False
Let q(c) be the first derivative of 34*c**3/3 + 5*c - 7. Let v be q(-4). Suppose v = 3*j - 570. Is j a composite number?
False
Let n be 5*-3 - (1 - 3). Let h be (3 + 7/(-3))*-159. Let p = n - h. Is p prime?
False
Let m be 4074/2 - (-9 + 5). Suppose 0 = 4*p - m - 451. Is p a composite number?
True
Let p = 12344 - 4725. Is p composite?
True
Is (-9)/(-12) - (-147914)/104 a composite number?
False
Suppose 5*h - 3*c - 29 = 0, 20 = 3*h + 2*c - 5. Suppose 4256 = -h*u + 17185. Is u a composite number?
False
Is ((-18296)/(-16))/(15/6 - 2) prime?
True
Suppose 37*g = 46*g - 79011. Is g a prime number?
True
Let u be 10/(-2)*(5 + -6). Let g(h) = h**2 - 4*h - 1. Let s be g(u). Is ((-109)/s)/((-1)/4) a composite number?
False
Let y(j) = j**3 + 8*j**2 + 7*j. Let b be y(-7). Suppose b = 6*p - 1384 - 2054. Is p a prime number?
False
Is ((-5403)/6)/((-16)/32) prime?
True
Let u be -1*(-6 + 3 - -3). Suppose u*a + 2*a = 4030. Let b = -1020 + a. Is b a composite number?
True
Let f be (6/(-5))/((-24)/(-160)). Let z(o) = -o**3 - 9*o**2 - 8*o + 2. Let c be z(f). Suppose -3*l + 199 = 2*d - 247, -c*l - 892 = -4*d. Is d prime?
True
Let d(w) = -3*w**3 + 9*w**2 - 8*w - 5. Let x(m) = -38*m + 8*m**2 - 5 + 3*m**3 + 0 + 31*m - 5*m**3. Let s(c) = 5*d(c) - 6*x(c). Is s(-5) a composite number?
True
Suppose 4*r + 4 = 2*r, -4*a + 4*r + 244 = 0. Suppose -57*t - 3386 = -a*t. Is t a prime number?
True
Let q(h) = -h**3 - 6*h**2 - 3*h - 15. Let j be q(-6). Suppose d - 576 = -j*d. Suppose 20 + d = 2*z. Is z prime?
False
Let j(k) = k**3 + 9*k**2 - k - 6. Let f be j(-9). Suppose 5*v + 6 = -f*s + 62, -5*v + 48 = -s. Is v a composite number?
True
Let q(l) be the third derivative of -l**6/120 + l**5/12 - l**4/8 + l**3/6 - 2*l**2. Let g be q(3). Let t(u) = 3*u - 15. Is t(g) a prime number?
False
Suppose 0 = -6*w + 2*w - 5*i + 5, w = -4*i - 7. Suppose s - w*s = -1492. Is s a prime number?
True
Let l(n) = 2*n + 9. Let g be l(6). Let f be (g/21)/(1/3). Suppose f*o = -58 + 397. Is o a composite number?
False
Suppose 11*q = 19*q + 17080. Suppose 22 = -0*v + v. Is 4/v - q/55 composite?
True
Let u(n) = 879*n - 94. Is u(9) a prime number?
True
Is (-2*(-2)/(-1))/((-104)/290082) composite?
True
Let w be 2*-1*439/(-2). Let c = -1974 - -1674. Let g = w + c. Is g a prime number?
True
Let r = -136477 + 289362. Is r prime?
False
Let x be 4 + (-5 - 0) + 4. Suppose 511 = 5*n + x*l + 25, -3*n = -3*l - 282. Let h = 307 - n. Is h prime?
True
Let f(s) = -11*s + 6. Let g(o) = o. Let w(r) = 23*r - 9. Let x(a) = -6*g(a) + w(a). Let t(n) = -7*f(n) - 5*x(n). Is t(-8) a prime number?
True
Suppose -3934 - 3091 = -5*n. Let q = 186 + 1928. Let i = q - n. Is i a composite number?
False
Suppose -42*j + 14*j + 10668 = 0. Is j prime?
False
Let x(a) = -2*a**3 - 9*a**2 + 14*a - 7. Suppose -3*l + 4 = 34. Is x(l) a composite number?
False
Let v be (-1)/(5/(-260)) + 4. Suppose 0 = -3*c - 14 + v. Is c prime?
False
Suppose 3*y - 6 = y. Suppose -3*g = -2*g - y. Suppose -g*b = -4*o + 508, -5*o - 362 = 2*b - 997. Is o prime?
True
Let n = 3 + 0. Let g be 7/((n - -2)/(-125)). Let u = -93 - g. Is u a prime number?
False
Suppose 0 = -13*s + 10*s - 189. Let m = s + 242. Is m prime?
True
Suppose 0 = -4*v - 20, -c + 11*v - 12*v + 9224 = 0. Is c a composite number?
True
Let q(i) = -i**2 - 14*i - 7. Let m be q(-13). Suppose 0 = m*g - 75 - 1959. Is g a composite number?
True
Let q(y) = y**3 - 6*y**2 - 6*y + 2. Let l be q(7). Let b = l + -7. Suppose -u = b*u + 6, 0 = 2*a + 3*u - 80. Is a a composite number?
False
Let l = -24 + 33. Is (863/2)/(l/18) composite?
False
Let j = -2876 - -1495. Let b = j - -3090. Is b composite?
False
Let q be 180/(-27)*12/(-5). Suppose 3 = m - q. Is m a prime number?
True
Let m(i) be the second derivative of 7*i**4/6 - i**3/6 - i**2 - 6*i. Let z be m(-1). Suppose -5*u - z = -948. Is u a prime number?
False
Let g(s) be the second derivative of s**6/40 - s**5/15 + 5*s**4/24 + 7*s**3/6 - 3*s**2 + 4*s. Let d(f) be the first derivative of g(f). Is d(6) prime?
True
Suppose -4*k = -7*k - 3*i + 27216, 5 = -5*i. Is k a composite number?
True
Let r(f) = 240*f**2 - 12*f + 37. Is r(10) a prime number?
True
Let z be 902/(-4)*(-2)/1. Suppose 5*t - 5*k - z = t, t = -3*k + 134. Is t a prime number?
False
Let h = -1 - -138. Let x = h - -256. Is x a composite number?
True
Let l(u) = 586*u - 1. Let q be l(1). Let n = q - 142. Is n composite?
False
Suppose 0 = -12*x + 4*x + 32. Is 1434/8 + (-1)/x composite?
False
Suppose 0 = -4*p - 3*f + 140548, 6*p - 3*f = 4*p + 70274. Is p a composite number?
True
Let d(t) = -7*t - 46. Let l be d(-7). Is 2072/32 - l/(-12) prime?
False
Suppose 0 = 2*w + b - 13, 5*w - w - 17 = -5*b. Suppose -w*d - 2442 + 14930 = 0. Is d a composite number?
True
Let f(o) be the first derivative of 1/3*o**3 + 3/2*o**4 + 3 - o + 1/2*o**2. Is f(2) composite?
False
Let i(s) = s**2 + 3*s + 4. Let q be i(-5). Is 40/q*(-70)/(-20) composite?
True
Suppose -2*m - 4*i + 8650 = 0, 3*i - 2*i - 8653 = -2*m. Is m a prime number?
True
Is ((-2)/(-4 + 0))/(4/9992) prime?
True
Let n be (-6 + 5)/(33/12 - 3). Is (n/(-16)*831)/(3/(-20)) a composite number?
True
Suppose -3*w = -9*c + 4*c + 10677, -4*w = 3*c - 6383. Let m = -1439 + c. Is m prime?
False
Suppose -4*r = -318 - 462. Let y be 6/(-9) + 590/(-15). Let u = y + r. Is u a composite number?
True
Suppose -5*g + 9 + 6 = 0, -5*h + 5*g = -7520. Let w = 2424 - h. Is w composite?
True
Suppose -10*i = -47043 - 247. Let c = i - 2120. Is c composite?
False
Let y(l) be the third derivative of l**6/60 - 7*l**5/60 - 13*l**3/6 - | {
"pile_set_name": "DM Mathematics"
} |
n c - 261*c**3 + 171*c**3 + 135*c**3.
45*c**3 + c
Collect the terms in -8 + 3 + 69*b + 3.
69*b - 2
Collect the terms in 5*d + d + 0*d + 3*d.
9*d
Collect the terms in -234*r**2 - 225*r**2 + 470*r**2.
11*r**2
Collect the terms in -20 - 16 + 61 + 17*f - 23.
17*f + 2
Collect the terms in -12 + 8 + 4*u**3 + 4.
4*u**3
Collect the terms in -1 - p**2 - 12 - 9.
-p**2 - 22
Collect the terms in 619*x**3 - 1153*x**3 - 1229*x**3.
-1763*x**3
Collect the terms in 39476 - 39476 - 2*b.
-2*b
Collect the terms in -4 + 4 - 454*j**2 + 520*j**2.
66*j**2
Collect the terms in -1155*v + 1155*v - 3*v**3.
-3*v**3
Collect the terms in 130*z**2 - 68*z**2 + 4*z**3 - z**3 - 62*z**2 - z**3.
2*z**3
Collect the terms in -231 + 231 + 5*u.
5*u
Collect the terms in -i**3 - 2*i**3 - i**3 + 2*i**3.
-2*i**3
Collect the terms in -101*x**2 - 41*x**2 + 41*x**2 - 118*x**2.
-219*x**2
Collect the terms in -12*n - 2 + 3 - 1.
-12*n
Collect the terms in -2330573*a**2 + 2330570*a**2 + 0 + 0.
-3*a**2
Collect the terms in 6*w**2 + 6*w**2 - 8*w**2.
4*w**2
Collect the terms in -126*w - 24*w - 14*w.
-164*w
Collect the terms in -3*s**2 - 16*s**2 - 4*s**2.
-23*s**2
Collect the terms in 41*r**3 + 0*r - 36*r**3 + 0*r.
5*r**3
Collect the terms in 111*d**2 + d - d - 106*d**2.
5*d**2
Collect the terms in -16*t + 89*t - 71*t.
2*t
Collect the terms in 27*z**2 - 27*z**2 - 2*z**3.
-2*z**3
Collect the terms in 78*y**2 - 78*y**2 - 3*y**3.
-3*y**3
Collect the terms in 34*t**2 + 0 - 41*t**2 + 0.
-7*t**2
Collect the terms in -9*o + 5*o**2 + 10*o - o.
5*o**2
Collect the terms in -3*c + 3*c - 18*c + 9*c.
-9*c
Collect the terms in -7 - 14 - 6*r**2 + 21.
-6*r**2
Collect the terms in 15*m**3 - 17*m**3 + m**3.
-m**3
Collect the terms in -i**3 - 2*i**3 - i**3 + 2*i**3.
-2*i**3
Collect the terms in 15*r - 3 - 3*r + 27*r.
39*r - 3
Collect the terms in 9*a - 3*a - 4*a + 9*a.
11*a
Collect the terms in 5 - 15*b - 10*b**3 + 15*b.
-10*b**3 + 5
Collect the terms in -26*k**2 + 14*k**2 - 13*k**2.
-25*k**2
Collect the terms in -10*j + j + 3*j.
-6*j
Collect the terms in -4*f + 6*f - 3*f - 2*f.
-3*f
Collect the terms in -j + 2*j - 3*j + j + 0*j.
-j
Collect the terms in 24*f**2 + 18*f**2 - 3*f**2.
39*f**2
Collect the terms in -11*d**2 + 43*d**2 - 14*d**2 - 17*d**2.
d**2
Collect the terms in -12698*h - h**2 + 12698*h.
-h**2
Collect the terms in 79*o**2 + 1 - 5 + 4.
79*o**2
Collect the terms in 0*o**2 + 11 - 11 + 59*o**2.
59*o**2
Collect the terms in -54 - 61 + 6*h - 61 + 180.
6*h + 4
Collect the terms in x**3 + 52*x - 2*x**3 - 78*x + 2*x**3.
x**3 - 26*x
Collect the terms in -5541*h**2 + 2767*h**2 + 2768*h**2.
-6*h**2
Collect the terms in -59*t + 22*t + 1 - 10*t.
-47*t + 1
Collect the terms in -27 - 5*l**2 + 4*l + 27 - 3*l**2.
-8*l**2 + 4*l
Collect the terms in 1 - 1 + 12*m**2 + 8*m**2.
20*m**2
Collect the terms in 11 - 11 + 22*c.
22*c
Collect the terms in -3 + 3 + 90*u - 89*u.
u
Collect the terms in -19*r + 7*r + r - 16*r.
-27*r
Collect the terms in -8*j**2 + 0*j**2 + 3*j**2.
-5*j**2
Collect the terms in 4*n**3 - 49050 + 49050.
4*n**3
Collect the terms in 3*n**3 + 11 - 2*n**3 + 2*n**3 + 0*n**3.
3*n**3 + 11
Collect the terms in -415*q**3 - 423*q**3 + 839*q**3.
q**3
Collect the terms in 407*h**3 - 296*h**3 - 222*h**3.
-111*h**3
Collect the terms in -37*s**2 + 2*s**2 + 40*s**2 - 3*s**2.
2*s**2
Collect the terms in -2*q + 9 - 9 + 5*q - q.
2*q
Collect the terms in 145*m - 48*m - 49*m - 47*m.
m
Collect the terms in -8 + 1449*h - 1448*h + 0 + 8.
h
Collect the terms in -2*j**3 - 12*j**3 + 16*j**3 + j**3.
3*j**3
Collect the terms in -2*w + 34 + 6*w - 34 + 2*w.
6*w
Collect the terms in -314*s**2 - 316*s**2 + 625*s**2.
-5*s**2
Collect the terms in 3*b**3 + 115458*b - 115458*b.
3*b**3
Collect the terms in -541653*j**2 + 270827*j**2 + 270827*j**2.
j**2
Collect the terms in -4*f - 27*f**3 + 4*f - 710*f**3.
-737*f**3
Collect the terms in -5*m - 4 - 1 - 1.
-5*m - 6
Collect the terms in -385*p - 17 + 17.
-385*p
Collect the terms in -548*y**3 + 22*y**2 - 22*y**2.
-548*y**3
Collect the terms in -144 + s + 144 - 3*s.
-2*s
Collect the terms in -x + 10*x - 4*x.
5*x
Collect the terms in -241*c**3 + 110*c**3 + 137*c**3.
6*c**3
Collect the terms in -664*q**3 - 10*q**2 + 10*q**2 + 340*q**3 + 322*q**3.
-2*q**3
Collect the terms in 10*z**2 - 2*z**2 - 6*z**2 - 11*z**2.
-9*z**2
Collect the terms in 75*b**3 + 77*b**3 + 156*b**3.
308*b**3
Collect the terms in 12*l**3 - 8*l**3 + 6*l**3.
10*l**3
Collect the terms in 7*l**2 - 6*l**3 - 4*l**2 - 3*l**2.
-6*l**3
Collect the terms in -17*j**2 + 903 - 903.
-17*j**2
Collect the terms in 282*m**2 - 570*m**2 + 283*m**2.
-5*m**2
Collect the terms in -31*q + 70*q - 42*q.
-3*q
Collect the terms in 1 - 120*j + 2 + 118*j - 3.
-2*j
Collect the terms in 203*q**3 + 7*q**3 + 388*q**3.
598*q**3
Collect the terms in 3*m - 9*m + 5*m + 3*m.
2*m
Collect the terms in -2*f**2 - 201803*f + 201803*f.
-2*f**2
Collect the terms in -9*y**3 - 1659*y + 818*y + 841*y.
-9*y**3
Collect the terms in -3559 - 3557 + 3*i + 10680 - 3564.
3*i
Collect the terms in 8*a**2 - 75*a**2 - 39*a**2.
-106*a**2
Collect the terms in 36 - 16 - 26*j**2 - 20.
-26*j**2
Collect the terms in 3*d**2 - 11*d**3 - 3*d**2 + 18*d**3.
7*d**3
Collect the terms in -13*k**2 + 63*k**2 - 14*k**2 - 17*k**2.
19*k**2
Collect the terms in -14*u + 52*u - 19*u - 17*u.
2*u
Collect the terms in -4*t + t + 7*t.
4*t
Collect the terms in -33375 - 7*r + 33375.
-7*r
Collect the terms in k**2 - 4283*k - 8*k**2 + 4283*k.
-7*k**2
Collect the terms in -2*i**2 - 629*i + 2 + 629*i.
-2*i**2 + 2
Collect the terms in 5*i**3 - 18*i**3 - 5*i**3.
-18*i**3
Collect the terms in -503*i**3 + 166*i**3 + 172*i**3 + 169*i**3.
4*i**3
Collect the terms in -20 - 24 + 56 - 12*l**3 - 12.
-12*l**3
Collect the terms in 23*p**3 + 3*p - 3*p - 25*p**3.
-2*p**3
Collect the terms in -2 + 0*l**3 + 7*l**3 - 6*l**3.
l**3 - 2
Collect the terms in -1033*i - 7*i**2 - 5*i**2 - 6*i**2 + 1036*i.
-18*i**2 + 3*i
Collect the terms in -2*q**3 - 1608*q + 804*q + 3*q**3 + 804*q.
q**3
Collect the terms in -4*b + 4*b + 1233*b**2 - 2466*b**2 + 1235*b**2.
2*b**2
Collect the terms in -a**2 + 3*a**2 + 5*a**2 - 5*a**2 + 3*a**2.
5*a**2
Collect the terms in -14*j**3 - 3 - 2*j + 3.
-14*j**3 - 2*j
Collect the terms in -1108 + 549 - 8*t**2 + 559.
-8*t**2
Collect the terms in 18*k + 20*k - 48*k + 19*k - 13.
9*k - 13
Collect the terms in -19*y - 73 + 4*y**2 + 73.
4*y**2 - 19*y
Collect the terms in 267*u - 802*u + 265*u + 269*u.
-u
Collect the terms in 23*d**2 - 14*d**2 - 5*d**2.
4*d**2
Collect the terms in -40*o + 40*o + 4*o**2.
4*o**2
Collect the terms in 0 + 37*r - 54*r + 0.
-17*r
Collect the terms in -3*f - 1006*f**2 + 3*f + 1007*f**2.
f**2
Collect the terms in -11*t**3 - 40*t**3 - 125*t**3.
-176*t**3
Collect the terms in -74*p**2 + 2*p - 109*p**3 + 74*p**2.
-109*p**3 + 2*p
Collect the terms in -416493 - m**3 + 416493.
-m**3
Collect the terms in 2581 - 2581 - z**2.
-z**2
Collect the terms in 10*n**3 + 10*n**3 - 9*n**3.
11*n**3
Collect the terms in -18*x**2 - 14*x**2 - 15*x**2 + 49*x**2.
2*x**2
Collect the terms in -6*v + 6*v + 11*v**2 + 0*v**2.
11*v**2
Collect the terms in 582277*i - 582277*i - 2*i**2.
-2*i**2
Collect the terms in -266*h + 266*h - 2*h**2.
-2*h**2
Collect the terms in -2*b + 10*b**3 - b + 7*b.
10*b**3 + 4*b
Collect the terms in 0 - 3*w**2 - 388*w + 35*w - 4.
-3*w**2 - 353*w - 4
Collect the terms in -2*a + 78*a**2 - 55*a**2 + 2*a.
23*a**2
Collect the terms in -190*x + 66*x + 72*x + 61*x.
9*x
Collect the terms in -2*a - a + 1249*a**3 + 0*a.
1249*a**3 - 3*a
Collect the terms in 86 + 3*q + 83 - 169.
3*q
Collect the terms in -88*k + 5 - 195*k + 76*k.
-207*k + 5
Collect the terms in -99*c + 12*c**2 - 99*c - 103*c + 301*c.
12*c**2
Collect the terms in 28*f**3 - 91*f**3 + 29*f**3 + 30*f**3.
-4*f**3
Collect the terms in 23*n + 26*n - 5*n.
44*n
Collect the terms in -309*i**2 - 6 + 311*i**2 + 6.
2*i**2
Collect the terms in -62*z + 122*z - 59*z.
z
Collect the terms in -1 - 14*a**2 + 4*a**2 + 2*a**2 - 2.
-8*a**2 - 3
Collect the terms in 2*f + 0*f - 4*f + 1 - f.
-3*f + 1
Collect the terms in -4*j**3 - 2*j**3 + 62*j - 130*j + 68*j.
-6*j**3
Collect the terms in -h**3 - 3*h**3 + 0*h + 2*h.
-4*h**3 + 2*h
Collect the terms in 5 - 5 + 28*f**3 - 17*f**3.
11*f**3
Collect the terms in -z - 25 + 25 - 2*z.
-3*z
Collect the terms in -88*a**2 + 43*a**2 + 41*a**2 | {
"pile_set_name": "DM Mathematics"
} |
*2 - 3*o**2*x - o**2 + 23*o*x - 6*x**2 wrt x.
-13274448*o**2
What is the second derivative of 64*i*l**4 + 3204*i*l**3 + 33510*i*l + i - l**2 wrt l?
768*i*l**2 + 19224*i*l - 2
Find the first derivative of 828520*i - 3492702.
828520
Find the first derivative of -5*l*p + 952223*l + 2594*p wrt p.
-5*l + 2594
What is the second derivative of 2*r**5 - 33983*r**3 - r**2 + 52194*r - 2?
40*r**3 - 203898*r - 2
Differentiate 315*b*k - 30*b - 349204*k with respect to b.
315*k - 30
Find the second derivative of -8*a**2*j**2 - 945*a**2*j - 4*j**4 + 2*j**2 - 44 wrt j.
-16*a**2 - 48*j**2 + 4
What is the second derivative of 432*a**5 + a**4 - 3*a**2 + 569319*a?
8640*a**3 + 12*a**2 - 6
Differentiate 2*m**3*n**2 - 184930*m*n**3 - 113*n**3 - 219*n**2 - 2 wrt m.
6*m**2*n**2 - 184930*n**3
What is the third derivative of b**2*x**4 + 7*b**2*x + 3796*x**5 - 541*x**2 - 15*x wrt x?
24*b**2*x + 227760*x**2
Find the third derivative of 2*j*v**4 - j*v**3 + 343*j*v + 2*v**4 + 86*v**3 + 2*v**2 - 11 wrt v.
48*j*v - 6*j + 48*v + 516
What is the third derivative of 884*d**4*p + 11*d**3 - 2113*d**2*p + 4*p wrt d?
21216*d*p + 66
Find the third derivative of 36111*y**5 + 2*y**4 - 88*y**2 - 260*y - 2.
2166660*y**2 + 48*y
What is the derivative of -86*b*j**2 + 2*b*j - b + 22*j**2 + 6686 wrt j?
-172*b*j + 2*b + 44*j
What is the third derivative of -99097*f**5 + f**2 + 7*f + 612 wrt f?
-5945820*f**2
Find the third derivative of -2*u**3*y**2 + 30926*u**3*y - 6*u**3 + 216*u**2*y**2 + 13*u**2*y - 4*u*y + 2*y**2 wrt u.
-12*y**2 + 185556*y - 36
What is the derivative of 20*b**3*z**2 + 54*b**3 - 5*b - 992*z**3 + 14 wrt z?
40*b**3*z - 2976*z**2
Differentiate 825*k**3*n - 13*k**3 + 2*k**2*n + 2*k**2 + 4*k*n + 243 wrt n.
825*k**3 + 2*k**2 + 4*k
Differentiate 86*l**3*r**2 + 4*l**3 + 1995*l**2 - 66*l*r**3 wrt r.
172*l**3*r - 198*l*r**2
Find the first derivative of -17*b**2*v*x - 12174*b**2*x**2 - 2*b*v + 39*v*x**2 - 12*v*x + 2*v - 29*x**2 wrt b.
-34*b*v*x - 24348*b*x**2 - 2*v
What is the third derivative of 210901*j**4 + 72*j**2 - 168*j - 1?
5061624*j
What is the third derivative of 206672*s**4 - 2*s**2 - 98*s - 131 wrt s?
4960128*s
What is the derivative of -w**4 - 90867*w + 65240?
-4*w**3 - 90867
What is the second derivative of 220*f**2*n**3*t + 149*f**2*t - f**2 - 815*f*n**3 + 923*f*n*t - 2*n**2*t wrt f?
440*n**3*t + 298*t - 2
What is the second derivative of -6*a**2*q + 225*a**2 + 45*a*q + 108*a wrt a?
-12*q + 450
Find the second derivative of 3*g**2*y**2 + 702*g**2*y - 20041*y**2 + 67*y wrt y.
6*g**2 - 40082
What is the third derivative of 44*r**5 + 284*r**3 + 2*r**2 + 22*r - 130 wrt r?
2640*r**2 + 1704
Find the third derivative of -2157229*k**3 - 3541649*k**2.
-12943374
What is the second derivative of h**4*t + 5394*h**4 + 4*h**2 + 4738*h - 64*t - 1 wrt h?
12*h**2*t + 64728*h**2 + 8
Differentiate -145617*u + 175046 with respect to u.
-145617
Find the third derivative of -21*g*m**3*n**3 + 2040*g*m**3 + 19870*g*m**2*n**2 + g*m*n + 2*n**3 wrt m.
-126*g*n**3 + 12240*g
Find the first derivative of 2*l**3 - 31*l**2 + 2227*l - 2576757 wrt l.
6*l**2 - 62*l + 2227
Find the second derivative of 1219*g**3*q - 6*g**2*q + g*q + 3*g + 7*q + 6 wrt g.
7314*g*q - 12*q
What is the third derivative of 420*p**5 - 2*p**4 - 65*p**3 + 446331*p**2?
25200*p**2 - 48*p - 390
Find the third derivative of -6847*m**4*x + m**3*x - 5*m**2*x - 435*m**2 + m - 5*x wrt m.
-164328*m*x + 6*x
Find the third derivative of -g**6 + 168*g**5 + 3*g**4 - 15745*g**2 wrt g.
-120*g**3 + 10080*g**2 + 72*g
Find the first derivative of -2*s**3*z - 198595*s*z**2 + 2*z**2 - 124605*z wrt s.
-6*s**2*z - 198595*z**2
Differentiate -1774179*a + 329870 with respect to a.
-1774179
What is the second derivative of -208504*d**2*i + 3*d*i - 3*d - 751*i - 2 wrt d?
-417008*i
Find the second derivative of -313*a*t**2 + 212*a*t + 6*a - 149*t**2 + t wrt t.
-626*a - 298
What is the second derivative of -4927*g**4 - 36029*g?
-59124*g**2
What is the second derivative of -l**3 + 5150*l**2 - 18171*l + 1 wrt l?
-6*l + 10300
What is the second derivative of -3196*w**5 + 2*w**3 + 13*w**2 - 254168*w - 2?
-63920*w**3 + 12*w + 26
What is the second derivative of -3647946*a*o**2 - 2577695*a*o wrt o?
-7295892*a
What is the second derivative of -8*d*i**2 + 116*d*i*w - 5*d*i - 2*d*w - i**2*w - 2343*i**2 wrt i?
-16*d - 2*w - 4686
Find the third derivative of 90897*j**3 - 5*j**2 - 8114*j wrt j.
545382
Find the second derivative of -153952*q**2 - 148654*q.
-307904
What is the third derivative of -273*p**3*s**4 - p**3*s**2 + 30*p**2*s**4 + p**2*s**2 - 665*p**2 wrt s?
-6552*p**3*s + 720*p**2*s
What is the third derivative of -3756*g*o**4 - g*o**2 - 53*g*o - 3*o**5 + 24*o**3 + 3597*o**2 wrt o?
-90144*g*o - 180*o**2 + 144
What is the second derivative of 3*h**3*o**2 + h**3 + 15*h**2*o**2 + 2525*h**2*o - 656*h*o**2 - 2*o**2 wrt o?
6*h**3 + 30*h**2 - 1312*h - 4
What is the second derivative of -84200*k**2 + 79*k - 30?
-168400
Find the second derivative of -21086*x**2 + x - 13 wrt x.
-42172
What is the third derivative of 21*i*j**6 - 23*i*j**3 - 2*i*j**2 - 6106*i*j - 1170*j**4 + 4*j**2 wrt j?
2520*i*j**3 - 138*i - 28080*j
Find the second derivative of 13112*f**3*q**3 - 3*f**2*q**3 - 835*f*q**3 - 7*q**2 wrt f.
78672*f*q**3 - 6*q**3
Find the first derivative of -17157*i**2 + 100581 wrt i.
-34314*i
What is the third derivative of 3*f**4*i + 4633*f**4 - 282*f**2*i - 5*i wrt f?
72*f*i + 111192*f
What is the first derivative of -b**2 - 345685*b + 255402?
-2*b - 345685
Find the third derivative of -2*r**3*t**3 - 21519*r**3*t**2 - r**2*t**3 - 18*r**2*t - 3*r*t**2 - 3*t**3 wrt r.
-12*t**3 - 129114*t**2
What is the third derivative of -285*p**6 - 13*p**5 - 121980*p**2?
-34200*p**3 - 780*p**2
Find the second derivative of -163*p**3 - 37*p**2 + 5*p + 1319.
-978*p - 74
Find the second derivative of -36331*b**2 + 320*b + 190.
-72662
Find the second derivative of 10*i**2*o**2 + i**2*o + 5*i*k*o**2 - 12*i*k + i*o - 6*k*o**2 - 134*k*o + 2 wrt o.
20*i**2 + 10*i*k - 12*k
What is the third derivative of -804039*d**3 + 1576960*d**2?
-4824234
What is the derivative of -995549*g**2 - 875690?
-1991098*g
Find the second derivative of 62*g**3 - 1518*g**2 + 566211*g wrt g.
372*g - 3036
What is the derivative of 4*r*u*v - 32*r*u*x**2 - 23*r*u - r*v*x**2 + 110*r*v - 17*u*v - 28*x**2 wrt v?
4*r*u - r*x**2 + 110*r - 17*u
What is the second derivative of -815*c**3 - 3*c**2 + 63854*c wrt c?
-4890*c - 6
What is the third derivative of -107521*a**3 - 146280*a**2?
-645126
What is the derivative of d**2*g**2*l - 3*d**2*g**2 - 4*d**2*g - 1009*d**2 + 49943*d*g**2*l**2 - 2*d*g**2 + 5*l wrt l?
d**2*g**2 + 99886*d*g**2*l + 5
Find the second derivative of -26*r**3*z**2 - 35*r**3*z - 7*r**3 - r*z**2 - r*z - 23*z**2 wrt z.
-52*r**3 - 2*r - 46
Find the third derivative of -26943*y**4 - 13425*y**2 - y.
-646632*y
Find the second derivative of -108*q**5 - 51*q**4 - 4*q**3 - 245563*q + 2 wrt q.
-2160*q**3 - 612*q**2 - 24*q
Differentiate 604667*c + 475118.
604667
Differentiate h**3*w - 1018288*h**3 + 254101*h**2*w**2 + 2*h**2*w with respect to w.
h**3 + 508202*h**2*w + 2*h**2
Find the second derivative of 4206*l**2*z**2 + 10*l**2*z - 3*l*z - z**2 - 83 wrt z.
8412*l**2 - 2
Differentiate a**3*d*r + 13189*a**3*d - 4*a**2*d*r + 49*a**2*d + 8*d*r - 204*r with respect to r.
a**3*d - 4*a**2*d + 8*d - 204
What is the third derivative of -12*t**6 - 843*t**4 - 26636*t**2 wrt t?
-1440*t**3 - 20232*t
Find the third derivative of 12*f**4*n + 2*f**4 - 454*f**3*n**2 + 506*f**2 + 63*f*n**2 - f wrt f.
288*f*n + 48*f - 2724*n**2
What is the third derivative of 1146565*y**6 + 3*y**2 + 97873?
137587800*y**3
What is the third derivative of 5*t**4*w**3 + 36*t**4*w - 5*t**3*w**3 + 19835*t**2*w + 2*t**2 - t*w**3 wrt t?
120*t*w**3 + 864*t*w - 30*w**3
Find the third derivative of -o**4*v + o**4 + 8*o**3*v**3 - 1872*o**2*v**3 + 8*o**2*v**2 wrt o.
-24*o*v + 24*o + 48*v**3
Find the third derivative of 837423*l**3 + 874456*l**2 wrt l.
5024538
Find the first derivative of -8*b**4*k - 498*b**4 - 1480*k + 4 wrt b.
-32*b**3*k - 1992*b**3
What is the third derivative of -2016*a**2*g**3 + 2*a**2*g**2 + 107154*a*g**2 + g**3 wrt g?
-12096*a**2 + 6
What is the second derivative of -7*i*x**3*y - 5192*i*x**3 - 95*i*x*y - 59*x*y wrt x?
-42*i*x*y - 31152*i*x
Differen | {
"pile_set_name": "DM Mathematics"
} |
121021120
-8468241 (base 9) to base 2
-10001010010101110000001
-10111010010001 (base 2) to base 6
-131105
Convert -1323647 (base 9) to base 4.
-2300313022
What is 1046141 (base 10) in base 9?
1864028
Convert 12237 (base 13) to base 12.
17363
Convert 101111100001101110 (base 2) to base 12.
947a6
What is 447bc3 (base 13) in base 16?
18abad
54ba6 (base 12) to base 8
333256
Convert -193a (base 15) to base 16.
-154f
Convert 513355112 (base 6) to base 5.
4231131131
What is -212320 (base 6) in base 8?
-41770
What is 10c2082 (base 13) in base 15?
6c30b1
What is 42479 (base 16) in base 10?
271481
Convert -6834a (base 13) to base 9.
-317857
What is 1125918 (base 14) in base 8?
37100722
What is -111001101110011 (base 2) in base 13?
-105b6
-261106 (base 9) to base 7
-1226313
Convert 120269 (base 13) to base 5.
102210330
Convert -1201364 (base 7) to base 16.
-250f7
What is 1a74812 (base 11) in base 10?
3490863
What is -24254123 (base 7) in base 8?
-10204003
-3062207 (base 8) to base 6
-25224011
11630404 (base 7) to base 13
2a988c
Convert -545353424 (base 6) to base 5.
-10001003340
Convert 6042231 (base 10) to base 5.
3021322411
210001221 (base 4) to base 16
24069
20324044 (base 5) to base 11
104851
What is a23286 (base 12) in base 15?
351346
42400405 (base 6) to base 16
12fc95
853306 (base 9) to base 14
d2dd7
What is -83392 (base 15) in base 11?
-264555
51227267 (base 8) to base 10
10825399
Convert -30000231 (base 4) to base 16.
-c02d
Convert -1002101122222 (base 3) to base 13.
-173474
Convert -25a14 (base 13) to base 8.
-210266
-6336758 (base 9) to base 6
-200400342
11000010101010110110111 (base 2) to base 7
105135323
670535 (base 8) to base 16
3715d
What is -7d332 (base 14) in base 3?
-120111200022
Convert -8c1c23 (base 13) to base 2.
-1100101001111001010010
2e1ae0 (base 15) to base 10
2233335
-6ad785 (base 16) to base 13
-15b20b7
928c4 (base 13) to base 8
1001453
What is 43292 (base 14) in base 5?
20144131
Convert 20121100211 (base 3) to base 4.
133233223
Convert -110110100100111111011 (base 2) to base 12.
-722b63
-11003233113 (base 5) to base 16
-b3a8ce
Convert -202122000 (base 3) to base 7.
-61563
Convert -91b5b2 (base 12) to base 5.
-1040430321
What is -448a2 (base 13) in base 9?
-208721
What is -10000011100101010101 (base 2) in base 10?
-538965
What is -14710413 (base 8) in base 15?
-46b4cc
What is 6a6a7 (base 14) in base 15?
51c3e
Convert 17e484 (base 16) to base 14.
2ca8cc
-405434 (base 9) to base 3
-110012111011
Convert 2246654 (base 7) to base 3.
112021022222
Convert 1722a60 (base 12) to base 8.
22154550
What is 10332211221 (base 4) in base 3?
2110022001000
What is 3146250 (base 7) in base 13?
10488c
Convert -23000211310 (base 4) to base 5.
-1214323004
Convert 21474 (base 14) to base 16.
13a4e
-1101101010001011010 (base 2) to base 13
-128951
What is -1253134 (base 7) in base 11?
-102549
-169989 (base 10) to base 12
-82459
What is -53026042 (base 7) in base 13?
-c0a051
Convert -2123560 (base 7) to base 13.
-906c4
-311303300 (base 4) to base 5
-24023100
What is 1110002 (base 5) in base 14?
70c1
What is -1a51a9 (base 11) in base 7?
-2446330
What is -2200352 (base 7) in base 8?
-1015450
386ba4 (base 12) to base 2
11100001101100101100
What is -97243 (base 10) in base 15?
-1dc2d
-22949 (base 16) to base 9
-235258
87128 (base 10) to base 12
42508
-8652 (base 12) to base 15
-4585
What is 246b5a0 (base 13) in base 2?
101011001111011010000010
Convert -c83b68 (base 13) to base 10.
-4692540
What is 55c287 (base 13) in base 5?
1004313313
26255366 (base 7) to base 12
979225
1123221331 (base 4) to base 13
101b57
Convert -1124311440 (base 5) to base 13.
-6c1046
Convert 1506a6 (base 12) to base 14.
92b82
Convert 133222222 (base 4) to base 15.
28671
-3012003003 (base 4) to base 14
-1718b1
15533a (base 11) to base 2
111010111010100101
Convert -3cbcdb (base 15) to base 14.
-5622b6
What is 183671 (base 10) in base 4?
230311313
Convert -214770 (base 11) to base 4.
-1103233033
-b1b7b (base 16) to base 15
-e5a3b
Convert -182857 (base 14) to base 16.
-d013d
1137887 (base 12) to base 3
20020011222111
-340324 (base 5) to base 8
-27274
Convert 10011100110000100 (base 2) to base 16.
13984
Convert -b6a3b (base 14) to base 9.
-742008
What is -20200212022110 (base 3) in base 8?
-15450777
What is 2201220020 (base 3) in base 15?
10e66
-24533301 (base 6) to base 4
-3000320011
Convert 100001101001101100111110 (base 2) to base 3.
121121011220200
-24034410 (base 6) to base 5
-143021043
-110111100011100110 (base 2) to base 13
-7c766
11011011110000001110 (base 2) to base 16
dbc0e
-8256 (base 11) to base 12
-6407
-22208 (base 10) to base 5
-1202313
Convert 1379b24 (base 14) to base 10.
9438804
-11403042 (base 5) to base 16
-1a097
Convert c16cb (base 14) to base 6.
13545111
What is -1100100101101011111011 (base 2) in base 16?
-325afb
Convert 212388 (base 9) to base 5.
13021230
-58152e (base 15) to base 9
-7821108
What is -21910 (base 11) in base 14?
-b7b3
-24a16 (base 13) to base 14
-1a8dd
5db47 (base 15) to base 14
7b23c
-67dc (base 16) to base 5
-1322323
What is 124663 (base 10) in base 14?
33607
What is 1100101000001000000000 (base 2) in base 10?
3310080
-19b (base 16) to base 5
-3121
Convert 101011111100001110111 (base 2) to base 11.
8a3877
-11221133123 (base 5) to base 12
-42b4488
Convert -12460567 (base 9) to base 13.
-136461a
404613 (base 8) to base 16
2098b
Convert 712323 (base 11) to base 6.
40313052
Convert -101221312 (base 5) to base 4.
-1211010011
What is 4112551 (base 6) in base 15?
3d294
What is 10133243322 (base 5) in base 7?
154536613
What is -1205122 (base 7) in base 10?
-153043
What is 23475152 (base 8) in base 4?
103213221222
-125664 (base 10) to base 9
-211336
Convert 11303213 (base 5) to base 15.
20a3d
What is -11fece (base 16) in base 13?
-323a48
55001 (base 7) to base 9
20735
What is 151105514 (base 6) in base 9?
5807361
86ca64 (base 13) to base 15
429331
What is 225312452 (base 6) in base 2?
1111111011111011010000
4753849 (base 10) to base 3
22221112001111
-2042413120 (base 5) to base 2
-10000010000111001101111
-407327 (base 9) to base 6
-5102211
Convert 8118275 (base 10) to base 2.
11110111110000000000011
What is -252070 (base 8) in base 10?
-87096
What is 449401 (base 10) in base 2?
1101101101101111001
Convert -49157 (base 14) to base 7.
-1342540
-26b238 (base 14) to base 2
-101000110010111000010
What is -367179 (base 10) in base 6?
-11511523
Convert 8ba87 (base 14) to base 6.
11140103
What is 45201022 (base 8) in base 12?
332b32a
Convert -2232221303 (base 4) to base 9.
-1310275
101000011110111 (base 2) to base 13
9585
Convert 4384953 (base 10) to base 9.
8223020
What is -143306040 (base 7) in base 14?
-13851c7
What is -77436 (base 10) in base 12?
-38990
-1be53 (base 15) to base 4
-112031202
Convert 13154 (base 14) to base 2.
1011011101000110
What is 21aa414 (base 12) in base 13?
1449028
Convert -111001010011101111 (base 2) to base 6.
-5010423
What is 100110100100110001110 (base 2) in base 10?
1264014
What is -2322002330 (base 4) in base 12?
-308bb8
Convert -11430022 (base 5) to base 4.
-122121221
11313103013 (base 4) to base 16
1774c7
Convert -2134342 (base 5) to base 12.
-193a7
What is -101100011001000011110 (base 2) in base 6?
-51102210
37ca7a (base 13) to base 3
2112011211021
66977 (base 10) to base 2
10000010110100001
What is 101202111101 (base 3) in base 4?
303230323
What is 10100000100010010 (base 2) in base 4?
110010102
Convert -291713 (base 10) to base 9.
-484135
-151a06 (base 11) to base 9
-400744
-a7902 (base 11) to base 15
-316e8
Convert 16030344 (base 7) to base 3.
2220002010020
21848a (base 11) to base 16
54f45
Convert -41061415 (base 7) to base 4.
-31010213122
Convert -1a276 (base 14) to base 16.
-10330
420470 (base 8) to base 5
13431301
What is 1030102 (base 4) in base 15?
16a7
Convert 15336446 (base 7) to base 2.
101100111010011010100
What is -1320337 (base 11) in base 14?
-436715
Convert 3dc39 (base 16) to base 15.
4ee5a
Convert 5b3b9 (base 12) to base 6.
2350353
Convert -10111010101101100110 (base 2) to base 3.
-1102212001222
30a640 (base 12) to base 10
764688
Convert b0123 (base 15) to base 2.
10001000000001001101
-198b (base 14) to base 13
-2153
What is 402691 (base 10) in base 5?
100341231
What is -2009060 (base 11) in base 5?
-140223 | {
"pile_set_name": "DM Mathematics"
} |
7524, -1700960?
-1984358
What is the next term in 523, 4779, 16507, 39445, 77331, 133903?
212899
What is the next term in -488, -725, -1430, -2831, -5156, -8633, -13490?
-19955
What comes next: -4424, -8754, -13052, -17318, -21552, -25754?
-29924
What is the next term in -85362, -85384, -85444, -85560, -85750, -86032?
-86424
What comes next: -13442, -13382, -13272, -13106, -12878, -12582, -12212, -11762?
-11226
What is next in 461234, 1844943, 4151128, 7379783, 11530902, 16604479?
22600508
What is the next term in 75, 315, 973, 2259, 4383?
7555
What is the next term in 2844070, 2844077, 2844086, 2844097, 2844110, 2844125?
2844142
What comes next: -343, -1695, -4019, -7309, -11559?
-16763
What is next in -2834660, -2834664, -2834668, -2834672, -2834676?
-2834680
What is next in -917600, -917590, -917578, -917564, -917548, -917530?
-917510
What is next in 1333, 6766, 16301, 29938, 47677, 69518?
95461
What is the next term in -39681, -79471, -119263, -159057?
-198853
What is the next term in 9525, 4876, 225, -4428, -9083, -13740?
-18399
What is the next term in -142984, -572103, -1287302, -2288581, -3575940?
-5149379
What is next in 1226072, 1226094, 1226128, 1226180, 1226256, 1226362, 1226504, 1226688?
1226920
What is next in -20330171, -40660345, -60990519, -81320693, -101650867, -121981041?
-142311215
What is the next term in -670246, -1340463, -2010652, -2680813, -3350946, -4021051?
-4691128
What comes next: 292228, 584546, 876864?
1169182
What is next in -242463531, -242463532, -242463533, -242463534, -242463535, -242463536?
-242463537
What comes next: 4735, 2609, 475, -1673, -3841, -6035, -8261, -10525?
-12833
What is next in -1401022, -1401023, -1401024, -1401025, -1401026, -1401027?
-1401028
What is next in -62805, -62712, -62501, -62112, -61485?
-60560
What is the next term in 1479426, 1479542, 1479658, 1479774, 1479890?
1480006
What is next in 45168981, 45168978, 45168975, 45168972?
45168969
What is next in 12737812, 12737805, 12737798?
12737791
What is next in -46392, -185554, -417468, -742122, -1159504, -1669602, -2272404, -2967898?
-3756072
What is next in -140583, -281107, -421631, -562155, -702679, -843203?
-983727
What is the next term in -357946, -1431911, -3221856, -5727787, -8949710, -12887631, -17541556?
-22911491
What comes next: -2356998, -4713998, -7070996, -9427992, -11784986, -14141978, -16498968?
-18855956
What is next in 54775, 54767, 54759, 54751, 54743?
54735
What comes next: -1495436, -2990873, -4486308, -5981741?
-7477172
What is the next term in 74756, 75212, 75668?
76124
What is next in -10199, -81542, -275143, -652118, -1273583, -2200654?
-3494447
What is the next term in 38621239, 38621214, 38621189?
38621164
What is next in -22226, -22209, -22192, -22175?
-22158
What is the next term in -2029628, -4059271, -6088928, -8118605, -10148308, -12178043, -14207816, -16237633?
-18267500
What comes next: -660101, -660128, -660153, -660170, -660173, -660156, -660113, -660038?
-659925
What comes next: 2111979, 2112250, 2112521, 2112792, 2113063?
2113334
What is the next term in 235084, 470163, 705242, 940321, 1175400, 1410479?
1645558
What comes next: 492658, 492624, 492586, 492544?
492498
What is the next term in -1134, -2895, -5264, -8241, -11826, -16019, -20820?
-26229
What comes next: -3328376, -6656781, -9985186, -13313591, -16641996, -19970401?
-23298806
What comes next: 877008, 1754015, 2631018, 3508017?
4385012
What comes next: 1517468, 3034917, 4552356, 6069779, 7587180?
9104553
What is next in 21022, 38356, 55690, 73024, 90358, 107692?
125026
What is the next term in -33, 13, 143, 375, 727, 1217, 1863, 2683?
3695
What is next in -4090, -8268, -12446, -16624, -20802, -24980?
-29158
What comes next: 334313, 334317, 334321, 334325, 334329, 334333?
334337
What is the next term in -23403, -23777, -24401, -25275, -26399?
-27773
What comes next: -1864, -7928, -24378, -56404, -109196, -187944, -297838, -444068?
-631824
What is the next term in -18029, -43580, -69131, -94682, -120233?
-145784
What is next in 1097668, 1097603, 1097534, 1097461, 1097384, 1097303?
1097218
What comes next: -299163, -1196649, -2692471, -4786629, -7479123, -10769953?
-14659119
What is the next term in -239214, -478387, -717556, -956721, -1195882?
-1435039
What comes next: 183444, 733706, 1650778, 2934660, 4585352?
6602854
What is next in 1709, -699, -7215, -19891, -40779, -71931, -115399, -173235?
-247491
What is next in -245, -214, 127, 772, 1715, 2950, 4471, 6272?
8347
What is the next term in -27777, -44244, -60699, -77136, -93549, -109932?
-126279
What is the next term in -30044983, -60089960, -90134937, -120179914, -150224891, -180269868?
-210314845
What is next in -10763, -40555, -89373, -157217, -244087, -349983?
-474905
What comes next: -178, 2806, 8954, 18266, 30742?
46382
What is next in -468915, -468957, -468985, -468987, -468951, -468865, -468717, -468495?
-468187
What comes next: -600, -1325, -2196, -3213, -4376, -5685, -7140?
-8741
What comes next: -32320679, -32320681, -32320683, -32320685, -32320687?
-32320689
What is the next term in 527751, 527646, 527361, 526806, 525891, 524526, 522621, 520086?
516831
What is next in -2532, -10128, -22786, -40506, -63288, -91132, -124038?
-162006
What is the next term in -109307031, -109307036, -109307045, -109307058, -109307075, -109307096, -109307121?
-109307150
What is the next term in -2831523, -5663053, -8494583?
-11326113
What is next in 12041, 12027, 11997, 11945, 11865?
11751
What comes next: 32048989, 64097981, 96146975, 128195971, 160244969, 192293969, 224342971?
256391975
What comes next: -48885896, -48885898, -48885900, -48885902, -48885904, -48885906?
-48885908
What is the next term in 85723, 85631, 85539, 85447, 85355?
85263
What comes next: 17016, 18146, 19276, 20406, 21536, 22666?
23796
What is the next term in 32992, 132784, 299084, 531874, 831136, 1196852, 1629004?
2127574
What is the next term in -154176, -308399, -462622, -616845, -771068, -925291?
-1079514
What is the next term in 2495, 4937, 7399, 9881, 12383?
14905
What is the next term in -24562080, -49124141, -73686200, -98248257, -122810312?
-147372365
What comes next: 398208, 796372, 1194536?
1592700
What is next in -42777, -90245, -137713?
-185181
What comes next: 29014, 116039, 261072, 464113, 725162, 1044219, 1421284?
1856357
What is next in 25282, 43806, 62328, 80848, 99366?
117882
What is next in -87383, -698131, -2355889, -5584163, -10906459, -18846283, -29927141?
-44672539
What comes next: -207909, -417708, -627507, -837306?
-1047105
What is next in 5473, 11084, 16741, 22444, 28193, 33988?
39829
What comes next: 27521, 55161, 82797, 110429, 138057?
165681
What is the next term in 3151444, 6302889, 9454334, 12605779, 15757224?
18908669
What is the next term in 387060, 1548015, 3482932, 6191805, 9674628, 13931395, 18962100, 24766737?
31345300
What comes next: -352134024, -352134028, -352134034, -352134042, -352134052, -352134064?
-352134078
What is the next term in -67169, -134340, -201515, -268694?
-335877
What comes next: -18783504, -18783506, -18783508, -18783510?
-18783512
What comes next: 14734, 20967, 27202, 33439, 39678?
45919
What comes next: -975, -5928, -18775, -43422, -83775, -143740, -227223?
-338130
What comes next: 1220, 2844, 4960, 7568, 10668, 14260?
18344
What comes next: -1746, -1918, -2210, -2628, -3178, -3866, -4698, -5680?
-6818
What comes next: 27531, 220534, 744483, 1764858, 3447139, 5956806, 9459339, 14120218?
20104923
What is next in 288703, 577361, 866019, 1154677, 1443335?
1731993
What is the next term in 436, 613, 884, 1249, 1708, 2261, 2908?
3649
What is next in 1459864, 1459902, 1459940, 1459978, 1460016, 1460054?
1460092
What comes next: 3902, 15586, 35044, 62282, 97306, 140122, 190736, 249154?
315382
What is next in -271729, -543469, -815219, -1086979, -1358749, -1630529, -1902319?
-2174119
What is next in -3229, -3176, -3115, -3046, -2969?
-2884
What comes next: 97153, 194184, 291215, 388246, 485277?
582308
What is next in -1819078, -1819128, -1819178?
-1819228
What is next in 11866, 12535, 13204, 13873?
14542
What comes next: 2849701, 5699331, 8548961?
11398591
What is next in 1055887, 1055890, 1055867, 1055812, 1055719, 1055582, 1055395, 1055152?
1054847
What is the next | {
"pile_set_name": "DM Mathematics"
} |
3 - 8).
-17
What is the value of 7 + 1*(51012/564)/(-13)?
2/47
What is (5/2)/((-330)/(-36) - 9)?
15
((160/(-30))/(-8))/((-6)/(-63))
7
Evaluate (-18)/(-15)*(-65)/(-26) + -2.
1
Calculate (-704)/2160 + (4/(-6))/(115/(-69)).
2/27
Evaluate 17100/(-1900) + 2/3 + 398/48.
-1/24
What is the value of (-4715)/391 + 10/170?
-12
Evaluate 261/(-432)*4 - (-7 - (-340)/48).
-5/2
(-2)/40 - (-1242)/(-11960) - (-386)/(-26)
-15
(16 - 10) + -2*((-66)/12 - -4)
9
Evaluate (4047/71 + -57)*((-3)/(-2))/(-3).
0
Evaluate 4850/(-3395)*(-84)/10.
12
What is ((-242)/220 + 6/10)/((-6)/228)?
19
What is the value of (-78)/91 - (5238/(-819) + (0 - -6))?
-6/13
What is the value of 53/114 + (-10)/170*(-170)/(-20)?
-2/57
Calculate (-91)/273 + 9/54.
-1/6
Calculate (7/(-3))/(1715/7350).
-10
What is ((-3112)/120 - 15/225)/(-1 - 1)?
13
36888/33814 + (-258)/55
-18/5
Calculate (-910)/28 + 22 - (-3)/(-2).
-12
What is the value of (21 - 23 - 7)*(-4)/(-6)?
-6
Calculate -6*(1 - (1724/1914 + 112/1624)).
-2/11
Calculate (12/3 - (-132)/(-30) - 0) + 1.
3/5
What is (-15*12/(-144))/((-365)/60 + 6)?
-15
What is -4 - (-62)/31 - (7 - (0 + 2))?
-7
(-5)/(-6) - (-3276)/216
16
Evaluate (190/570)/(1/(-69)).
-23
What is (-5)/5*11 - ((4 - 7) + 5)?
-13
Evaluate (((-196)/322)/(-14))/((-3)/(-6)).
2/23
(889/(-381))/(4/(-12))
7
Calculate (-765)/(-1071)*(-8)/(-10).
4/7
Evaluate -3 + (-318)/(-70) - (-330)/550.
15/7
Evaluate ((-141)/216 - (-4 - -3)) + 40/(-320).
2/9
Evaluate (3 + 5 + -6 + 7)*6/6.
9
What is the value of (-21)/(-54)*1176/(-49)?
-28/3
4 - (81/(-18))/((-42)/28)
1
Calculate 4/(-182) - 360000/182000.
-2
Evaluate ((-1140)/152)/(10/(-8)).
6
(-7)/6*((-6327)/(-1036))/19
-3/8
2 + (-9 - (-6)/3) - 8/2
-9
What is the value of (-5)/75 + 434/35 + -10?
7/3
Calculate ((-210)/(-18) - 11) + (-2)/6*2.
0
What is the value of ((-12)/(-14))/((-9)/(-42) + 30/(-105))?
-12
What is the value of 65/78 - (-472)/(-48)?
-9
What is (-2 + 4)/(1 + 9) + 182/(-210)?
-2/3
Evaluate ((-183)/1044 - (-7)/42)*-8.
2/29
What is (-4760)/(-272) + 42/(-4) - 53/7?
-4/7
What is the value of (117/(-30) - -4) + 0?
1/10
What is ((-18)/(-4) + 0)/(-4 - 399/(-114))?
-9
What is the value of (385/(-66))/(-35)*20 + -6?
-8/3
Evaluate 2 + 1 - (-8 + -5)*(6 - 8).
-23
(-4)/(-96)*16*(2 + (-50)/4)
-7
1/((4/(-102))/((-20)/(-30)))
-17
What is the value of 9/(18/(-16))*40/(-32)?
10
((-1449)/(-115) + -15)/(15/(-125))
20
Calculate (84/77)/(1040/(-176) - -6).
12
Calculate 2*(-21 - (-20 - -3)).
-8
What is (-6 - -2 - (108/21)/(-1)) + -1?
1/7
What is the value of 16/168*12*(-3)/12?
-2/7
(-18)/(-117) - 2033/4173
-1/3
((-527)/496)/(-17) - (-10)/352
1/11
What is -66 + 62 - 48/4?
-16
Evaluate (40/(-30))/((-2)/(-10) + 803/(-165)).
2/7
Calculate (-4)/(-22)*(-5093)/(-4167).
2/9
Calculate 3/(-15)*(-68 - -62).
6/5
-1 - (-9 + (-9)/(-6))*4
29
((-39)/2)/((-21)/(-14)) + 3
-10
What is the value of -3 + -1 + (-30)/(-18)*198/15?
18
(-28)/16 - (-9 - -7)
1/4
What is the value of (-75)/(-2)*((-2460)/45)/82?
-25
Evaluate (-145)/(-87) + ((-534)/342)/1.
2/19
What is (1 + 19)/(40/(-16))?
-8
What is (-11 - (-575)/46)*(-80)/12?
-10
Evaluate (284/(-781) - 62/(-110))/(2/90).
9
What is the value of 1/((1634/(-1615) - -1)/(1/(-5)))?
17
What is ((-577)/25 + 23)*(-2)/(-8)*5?
-1/10
What is the value of (-7)/27*147/(-343)?
1/9
24/(-26)*(-364)/(-56)
-6
What is the value of -36 - -30 - ((-33)/55)/((-2)/(-10))?
-3
Calculate (-17 - -4)*(1 + 0).
-13
Calculate (-218)/14 - 220/(-4158)*-27.
-17
Evaluate 7 + -4 + 11/(-3).
-2/3
Calculate 9/180 - (-2 - (-10 + (-711)/(-90))).
-1/20
Calculate 16/416*-4*5/10.
-1/13
What is the value of 2*15 - 622968/20817?
2/27
What is (2/7)/(2*(-21)/98 - 0)?
-2/3
(-3)/7 - ((-614)/28 + 17 + 7)
-5/2
What is the value of 4 - 714*3/540?
1/30
Evaluate -272*18/(-360) + (-2)/(-5).
14
(2*3/140)/(-13 + 7990/658)
-1/20
Evaluate (-10790)/(-1992)*2/(-5).
-13/6
Calculate ((-10)/((-400)/60))/((-6)/(-64)).
16
What is the value of 166/(-83) + 160/10?
14
What is the value of (-1)/(-18) + 11094/(-32508)?
-2/7
What is the value of 2/(-6)*((-2)/(-3))/(106/(-477))?
1
What is the value of 141/846 - -1*(-214)/(-12)?
18
What is the value of (440/160)/(6/8) - 3?
2/3
Calculate (-22)/(4598/2451) + 13 + -1.
3/11
Calculate (282/240 + -6 - -5)*6/(-21).
-1/20
What is the value of (((-114)/75)/19)/(3/15)?
-2/5
What is ((-132)/(-12) + -10)*(10/6 - 2)?
-1/3
What is the value of 40 - 546/(89 - 47)?
27
((-38)/684)/(8/(-32))
2/9
What is the value of 744/53 - 90/2385?
14
Evaluate 12/(-10) - (2884/(-2520) - 4/72).
0
5/(-3)*((-25095)/1225 - -21)
-6/7
(-15 - (-5943)/378) + 6/(-27)
1/2
-5*(-7 + 252/24)*(-4)/(-14)
-5
Calculate ((-1)/2 - (20 - 19))*4.
-6
Evaluate (-25)/13*(-31 - -44).
-25
Evaluate (18/135*-5)/(29/(-1479)).
34
Calculate 5/2*8/(-10) + 67 + -49.
16
Calculate 35 - 30 - 17/3*3.
-12
Calculate ((-140)/(-105) + -1)*(-36)/10.
-6/5
Calculate (-5)/((-90)/(-196)) - 91/819.
-11
10/8*24/(-3) - (-170 + 192)
-32
Calculate (16 + -8 + 11)/(-1).
-19
What is (-18)/12*1 - (11 + 2439/(-198))?
-2/11
What is the value of ((-1)/2*-1*2*27)/3?
9
Calculate ((-616)/48 - -10)*-6.
17
What is the value of ((-690)/54 - -13)/(2/(-9)*-1)?
1
Calculate (90/130)/(55/(-10) - -7).
6/13
What is the value of (24 - (147 + 22))*7/35?
-29
Evaluate 28 - 0 - (37 + -51) - 11.
31
Evaluate (9 + 2)/((-2)/(-22)*11).
11
(196/(-63) + 2)*3*3/18
-5/9
What is the value of (-1)/(-2) + (414/84)/(-3)?
-8/7
What is -15*40/(-900)*(-15)/2?
-5
What is the value of (-39)/(-79 - 38)*(-12)/(-22)?
2/11
(-2)/((10 + -11)*2*(-3)/(-30))
10
Evaluate 130/(-33) + (-572)/(-143).
2/33
2/60*(-133)/133*6/(-1)
1/5
(-13 + 14)/1 + -11
-10
(5 - 4)*-3 - (-3 + 15)
-15
What is the value of (0 + 1 + -21)*(-726)/(-605)?
-24
Calculate (-215)/(-19) - (-32 + 8 - -35).
6/19
What is the value of (21 - -3)/4 - (21 - (-23 + 46))?
8
What is the value of 102/70 + -1 - (-5 + (-140)/(-25))?
-1/7
What is (-4)/((-32)/10) + -15*(-888)/4320?
13/3
What is (-3 - -5 - 12/5)*(-10)/(-16)?
-1/4
What is the value of 2312/4352 + (-2)/4?
1/32
(-27 - -21 - -20) + 3/1
17
What is (-19 - 29) + 63 + -8 + -1?
6
Calculate 1/(-4)*-2*(-4)/8.
-1/4
What is the value of (-300)/(-180) - ((-12)/(-4))/(6/4)?
-1/3
(-7 + 7)/((-1)/((110/30)/11))
0
What is (2/(-8) + (-12)/48)*332/(-9711)?
2/117
What is the value of -15 + 9 + 9 + (-2)/((-2)/(-1))?
2
Evaluate 72/1080*(-75)/3.
-5/3
Calculate (-30)/(-39) + (-6324)/6851.
-2/13
(588/322)/(-21) - (-418)/46
9
(-342)/306 - 1/5*(-5 + 0)
-2/17
Evaluate (101 - 11)/10 + 354/(-32) - -2.
-1/16
What is the value of (7 + 13)/(-10) + -8?
-10
Evaluate (-17)/(1 + 0) + 20251/1841.
-6
What is the value of ((-30)/(-4) - (-680)/(-136))*2?
5
What is the value of (6 - (-132)/(-18))*-6?
8
What is 1 - ((576/20)/8 - 7 - -2)?
12/5
What is the value of 1431/(-144) + 10 - (-195)/(-48)?
-4
What is the value of (29 - (-10063)/(-348))/((-2)/3)?
-1/8
(7/(-147))/(4/48*-2)
2/7
Evaluate ((-6)/(-36))/((-150)/180) - (-71)/5.
14
(-2)/7*(-35)/(-45)*16/(-16)
2/9
What is (-2)/(-12 + -1 + 11)?
1
Evaluate 45*11/627*19.
15
What is the value of ((-1)/6 - -1) + (-15561)/14364?
-1/4
What is the value of ((-18)/(-135))/(1/2)?
4/15
Evaluate 18/44*(5 - (-102)/(-18)).
-3/11
What is (551/(-232))/(-19) + -3 + (-111)/(-8)?
11
(384/320)/((132/(-40))/(-11))
4
What is the value of (-6)/15 + (2772/(-35))/12?
-7
What is 1/((-3)/6) + -1 + (-88)/(-48)?
-7/6
Evaluate 66/30 - 7/7*5.
-14/5
What is 7/(-42)*-30 - -7?
12
What is the value of ((-27874)/196)/11 + 2/(-28)?
-13
What is the value of -12*(-4)/6*546/(-364)?
-12
What is ((-1)/(35/56))/(4*(-63)/360)?
16/7
Evaluate 11730/920 + (-6)/12*(-2)/4.
13
What is the value of (-3)/(-9) + (-384)/72 + 12?
7
((-864)/(-378)*(-8)/(-10))/((-4)/10)
-32/7
Evaluate ((-24)/(-30))/(4/(-50)) - -1*33.
23
Evaluate (-1)/((-12)/(-8))*8/16*57.
-19
Calculate (-142)/(-46) + (-304)/3496.
3
What is (-54)/66*(-11)/(-33)?
-3/11
What is the value of (-3 + 330/100)/(1/(10/(-4)))?
-3/4
What is 418/(-374) - (-2)/17?
-1
-3 - (-17 - (-852)/60)
-1/5
What is (-3 - -27)*(((-315)/(-27))/(-7) + 2)?
8
Evaluate 300/(-875)*40/(-3) + -5.
-3/7
What is (7 - (-98)/(-21))*(2 + (-21)/6)?
-7/2
-11 + 4030/364 - ((-2682)/(-28))/(-3)
32
Evaluate (-408)/(-420)*10 + 3 + -13.
-2/7
Calculate -20*589/1900 - (-4)/(-5).
-7
3/16*(-4130)/1239
-5/8
What is the value of 1*-38 + (601 - 567)?
-4
Evaluate 1750/(-750)*(-4)/42.
2/9
What is the value of -123*(-1)/(-126 | {
"pile_set_name": "DM Mathematics"
} |
44?
44
Suppose -x = -2*c - 5, 3*x - 16 = -3*c - 1. Suppose 0 = 5*i + 3*m - 1474, x*i - m - 1470 = -6*m. What is the greatest common divisor of i and 37?
37
Let y(b) = -b**3 - 7*b**2 - 21*b - 21. Let r be y(-7). What is the greatest common divisor of 28 and r?
14
Suppose 6 = 2*n, 4*q - 1072 = 3*n - 7*n. Calculate the highest common factor of 20 and q.
5
Suppose -u + 38 - 22 = 0. Let k(f) = f**2 - 12*f + 40. Let o be k(u). What is the highest common divisor of 13 and o?
13
Suppose -12 = d - 3*h, -4*d + 12 = 2*h - 10. Suppose -4*y + 55 = -d*q, -10 = -3*y - 2*q + 10. Calculate the greatest common divisor of 35 and y.
5
Let u be (-2 - 0) + 449 + -9 + 10. Suppose -8*y = -y - u. What is the greatest common divisor of y and 48?
16
Let g = -176 + 184. What is the greatest common factor of 6 and g?
2
Let b = -624 + 1119. What is the greatest common factor of b and 45?
45
Let p = -244 + 447. Let a(d) = d**2 - 7*d - 15. Let q be a(11). What is the highest common divisor of p and q?
29
Let p(f) = 2*f - 3. Suppose -x = -4 - 8. Let y be 8/x + (-62)/(-6). Let l be p(y). What is the greatest common factor of l and 209?
19
Suppose -c + 9 = 2*c. Let w(i) = -5*i - 6 - i + i**2 + c*i. Let u be w(6). Calculate the greatest common divisor of 48 and u.
12
Let r be 41/(-4) + 12/(-16). Let o = 5 + r. Let p be 1521/52 + o/(-8). Calculate the greatest common factor of p and 45.
15
Let q be ((-5)/4)/(2/(-16)). Let n = 48 - 49. Let c = 4 - n. Calculate the greatest common factor of q and c.
5
Let h = -210 - -223. Let t(z) = 2*z**2 - 10*z + 11. Let k be t(11). What is the highest common divisor of h and k?
13
Let f = 84 - -28. Suppose -5*b = -k - 23, 3*b - 5*k = 5*b + 7. Suppose -7 = -b*c + 49. Calculate the highest common factor of f and c.
14
Let o(q) = 15*q + 147. Let h be o(-7). Suppose -4*i + 12 = 0, 0 = -b + i + 53. What is the highest common factor of b and h?
14
Suppose 4*f - 289 = -821. Let z = f + 275. Suppose 4*x - 26 = z. Calculate the greatest common factor of 6 and x.
6
Suppose 8*w = -11737 + 11777. Suppose -2*n + n = -5. What is the greatest common factor of n and w?
5
Let k(v) = 3*v - 16. Let t be k(7). Suppose -p - 2*c = -20, t = -3*p + 3*c + 20. Suppose -p*g + 48 = -6*g. Calculate the greatest common factor of 108 and g.
12
Let n(a) = -a**3 + 7*a**2 + 16*a - 19. Let y be n(8). Calculate the highest common factor of y and 63.
9
Let k(j) = 10*j**2 - 37*j + 5. Let w be k(4). Let q(l) = -l**3 - 7*l**2 - 6*l - 8. Let p be q(-7). What is the highest common divisor of p and w?
17
Suppose 0*r + 300 = 3*r. Let u = -12875 - -12935. Calculate the highest common factor of u and r.
20
Let o = -1133 - -1149. Let n(y) = y**3 - 5*y**2 + 4. Let v be n(6). Calculate the highest common divisor of o and v.
8
Let g(k) = k**3 - 21*k**2 - 48*k + 55. Let b be g(23). Calculate the highest common factor of b and 9.
9
Let s = -2424 - -2586. What is the highest common divisor of s and 234?
18
Suppose -4*o + 33 = -5*v - 126, 5*v + 3*o = -152. Let w = v + 33. Let n be (-4)/(w/(-4 + 0)). What is the greatest common factor of 2 and n?
2
Let s(t) = t**2 + 11*t + 4. Let q be s(-11). Suppose 5*b + 7 = q*b + 4*w, 4*b - 3*w + 2 = 0. Calculate the highest common divisor of b and 1.
1
Let i be 15 - 19 - 1101/(-3). Calculate the highest common factor of 33 and i.
33
Let a(d) = 3*d**2 + 2*d + 1. Let z be a(-2). Let x be -2*(2 + 20/(-8)). Let o be (73 - (-2 + 3))*1/x. What is the greatest common divisor of z and o?
9
Let i be 0*((-10)/4 + 3) - -68. What is the highest common factor of i and 17?
17
Suppose 0 = -2*d - 2*p + 72, -154 = -5*d - 2*p + 26. Calculate the highest common divisor of 252 and d.
36
Let y = -28 + 32. Let l be (-2 - -8)/(2/y). Calculate the highest common factor of 108 and l.
12
Let k be ((-18)/6)/((-3)/11). Let u be 16*2/4 + 3. Calculate the highest common factor of k and u.
11
Let y be (-4)/3*(-1107)/18. Calculate the greatest common divisor of 41 and y.
41
Let a(k) = -6*k + 8*k**2 - 8 - 3 - 4 + k**3. Let y be a(-8). Calculate the highest common factor of y and 22.
11
Let f(v) = 6 + 9*v - 4*v - 3*v - 5*v. Let s be f(-2). Calculate the greatest common factor of 4 and s.
4
Let y(m) = 3*m**3 + 26*m**2 + 6*m + 4. Let v be y(-6). Let n be 12/(-2 + 11/4). Calculate the greatest common factor of v and n.
16
Let j be (-185)/20 - 1/(-4). Let h = 11 + j. Suppose -2*f = 2*w - 60, -5*w + 2*w + h*f = -90. What is the greatest common factor of 10 and w?
10
Let y be (-33)/((-1416)/(-132) + -11). Calculate the greatest common factor of y and 11.
11
Suppose -3*b + 3 = 0, 5*z = 2*b - 103 + 601. Let l(d) = -d**3 - 12*d**2 - 32*d - 80. Let o be l(-10). What is the highest common factor of z and o?
20
Let n be -3 + 5/10*30. Suppose -2*w + 6 = -n. Calculate the highest common divisor of w and 3.
3
Suppose 18 = -4*b + 90. Calculate the greatest common divisor of b and 10.
2
Suppose 20 = -5*m + m. Suppose d - 5*j - 27 = 3*d, 3*d + 49 = j. Let n = m - d. What is the highest common factor of 11 and n?
11
Let c = 40 - -48. Suppose m - 10 + 0 = -w, -17 = -2*m - 5*w. What is the greatest common divisor of m and c?
11
Suppose -2*d + 220 = -0*d. Suppose -6*b - 8 = -8*b. Suppose -x + d = b*x. Calculate the greatest common factor of x and 11.
11
Suppose -11*b - 3157 = -52*b. Calculate the highest common divisor of 7 and b.
7
Suppose -o = -5*i + 125, 5*o + 28 - 3 = i. Suppose -i = 2*v - 4*v + 5*h, -4*v + 2*h + 42 = 0. Calculate the highest common divisor of 90 and v.
10
Suppose -3*f = 3*d - 99, 3*d + 4*f = 4*d - 18. Let s be -2*((-10)/d - (-446)/(-12)). What is the highest common divisor of 15 and s?
15
Let g(c) = 32*c + 10. Let i be g(-3). Let z = 30 - i. Calculate the greatest common factor of z and 29.
29
Let n(f) = -f**3 + 4*f**2 - 2*f - 2. Let o be n(3). Let q be 15 - 2 - 4/o. Calculate the greatest common factor of q and 45.
9
Suppose -2*l + 210 = 3*l. Let d be (-112)/l*(-9)/4. What is the greatest common factor of d and 18?
6
Let j = -46 + 144. Let b = j + -62. Calculate the highest common factor of 36 and b.
36
Let o = -172 - -202. Calculate the highest common factor of 18 and o.
6
Let v(b) = 24*b - 68. Let k be v(4). Calculate the greatest common divisor of k and 112.
28
Let w(g) = -g**3 - 2*g**2 + 6*g + 7. Let a be w(-5). Let x = a + -27. Let q be (-2)/(-5) - (-40)/x. Calculate the highest common divisor of 8 and q.
2
Let v(x) = -2*x**2 - 93*x - 41. Let n be v(-46). Calculate the greatest common divisor of 155 and n.
5
Suppose 5*i = 3 + 17. Suppose i*r = 3*r + 72. Calculate the greatest common divisor of r and 9.
9
Suppose -2*d - 69 = -23. Let h = -21 - d. Calculate the highest common divisor of 16 and h.
2
Suppose 5*k = s - 15, -k + 77 = 4*s - 4*k. Suppose 3*l + s = 7*l. Suppose -l*q - 792 = -9*q. What is the greatest common factor of 18 and q?
18
Let d(w) = 60*w - 14*w + 4*w + 2 - 8. Let s be d(1). What is the greatest common factor of 11 and s?
11
Let h = 2 + 0. Let z = 18 - 4. Let u = z - h. What is the highest common divisor of u and 60?
12
Let n(m) = 21*m - 49. Let h be n(3). Let y(t) = 154*t**2. Let r be y(1). Calculate the greatest common factor of h and r.
14
Suppose -42 + 234 = -6*t. Let s(z) = z**3 - 7*z**2 + 6*z + 8. Let l be s(6). Let u be (-190)/(-8) - l/t. What is the greatest common divisor of u and 60?
12
Suppose -8*z - 5*f = -4*z - 233, 124 = 2*z + 4*f. Calculate the greatest common divisor of z and 78.
26
Let p(h) = 2*h**3 - 2*h**2 + 2*h + 1. Let i be p(2). Suppose 3 = t + 5*c - 3, 2*c - 70 = -3*t. Calculate the highest common divisor of t and i.
13
Let q(x) = x**3 + 3*x**2 - 4. Let w be q(-2). Suppose -1 - 9 = -5*j, w = -2*u + 4*j. Calculate the highest common divisor of 1 and u.
1
Suppose -2*b + 17 + 41 = 0. Suppose 0 = 3*h - 276 - 36. Suppose 0 = -n + h + 215. Calculate the greatest common divisor of b and n.
29
Let s = 2052 - 1758. What is the greatest common divisor of 42 and s?
42
Let s(k) = -3*k + 8. Let t be s(-9). Let h = -32 + t. Suppose h*v - 45 = 9. What is the highest common divisor of v and 18?
18
Suppose 2*f - d = -3 - 32, -f = -d + 15. Let j = f - -37. Let c = -98 + 115. Calculate the greatest common divisor of j and c.
17
Suppose 754 = 14*j - 1430. Calculate the greatest common factor of 108 and j.
12
Let d be (-4 + (0 - -1))*-25. Suppose -2*o - 2 = -12. Supp | {
"pile_set_name": "DM Mathematics"
} |
y**2 + 3*y**2)*(-7 + 3 + 2) - 5*y**2 + y**2 + 0*y**2 to u*y**2 + m + i*y and give u.
-5
Rearrange -2*l**3 - 2*l + 10*l**3 + 371 - 370 + l**4 to f*l + j*l**4 + q + m*l**2 + z*l**3 and give m.
0
Rearrange 3 - 8 + y - 7*y + 3*y to f + l*y and give l.
-3
Express -6 + 68*a**3 - 6*a**2 + 3*a**2 - 62*a**3 in the form j*a**3 + z*a + q + b*a**2 and give b.
-3
Express -4*j**3 - 2 - 6*j**2 - j**3 + 3*j**3 as w + z*j**2 + i*j**3 + q*j and give i.
-2
Express (0 + 2 - 8)*(p - 2 + 2 + (4 + 0 - 3)*(-p - 4*p - p)) in the form i + n*p and give n.
30
Express (h + 2*h**3 - h)*(1 - 1 - 2*h) + 28*h**4 - 2*h**4 + 65*h**4 - 4*h**4 in the form o + v*h**3 + b*h**2 + l*h + r*h**4 and give l.
0
Express (4*h**3 + 0*h**3 - 3*h**3)*(-8 - 5 - 13)*(2 - 3 + 0) as a*h + k*h**2 + z*h**3 + q and give z.
26
Rearrange 3*y - 5*y + 5*y to o + f*y and give f.
3
Rearrange (8 - 3 - 4)*(-8 + 8 - 6*b)*(-6 + 3 + 1) to the form i*b + f and give i.
12
Express 8*o + o + o in the form m*o + d and give m.
10
Rearrange (-4*w + 5*w + w)*(-10*w - 3*w - 2*w) - 2*w - 2 + 2 - w**2 to the form r*w + m + q*w**2 and give q.
-31
Rearrange (9*p**2 + 0*p**2 + 0*p**2)*(-2*p + 0 + 0) + 3*p**3 - 2*p**3 + 0*p**3 - p**3 + 0*p**3 + 2*p**3 to the form m*p**2 + w*p + f + i*p**3 and give i.
-16
Express 12*u - 22*u**2 + 16*u + 1 - 26*u as y*u**2 + m*u + x and give y.
-22
Express (-1 + 2*y**2 + 1)*(0*y**2 + y**2 - 1 - 5*y**2) as u*y**3 + k*y**2 + w*y + g + b*y**4 and give b.
-8
Express 3*j**2 - 2*j**2 + 18*j**2 in the form u*j + f + l*j**2 and give u.
0
Rearrange f**3 + 3*f**2 - f**2 + 0*f**2 - 2 + 2*f to b*f**3 + k*f**2 + d + v*f and give k.
2
Express (o**3 - 4*o**3 + 4*o**3)*(3*o + 6*o - 5*o - 2) as c*o**2 + i*o**3 + y + h*o**4 + p*o and give h.
4
Express (2 - 2 - i)*(-3*i - 9*i + 2*i + (-i - 1 + 1)*(0 - 4 + 5) + i + 2*i - i) - 2*i**2 + 4*i**2 + 3*i**2 in the form p + d*i**2 + g*i and give d.
14
Express 18*o + 47*o**2 - 45*o**2 + 7*o in the form q + w*o + j*o**2 and give j.
2
Express (4 - 4 - a)*(-2 + 1 + 3)*(1 - 24 + 8)*(2 - 1 - 2) as i*a + j and give i.
-30
Express (-2 - 1 + 1)*(1 + 0 + 0)*(-2*m - m + 4*m - 3*m + 2*m + 3*m + (2 - 2 - m)*(1 - 4 + 1)) in the form i*m + v and give v.
0
Rearrange (0 + 0 + 11*w**2)*(2*w - w - 3*w) to b + j*w**3 + k*w**2 + c*w and give b.
0
Express (5 - 4 - 4)*(2 - 2 - 2*w)*(2*w**2 - 2*w**2 + w**3) in the form c*w**2 + g + j*w**4 + i*w**3 + y*w and give j.
6
Rearrange (-3 + 0 + 1)*(0*t - 3*t + 0*t)*(3*t**2 + 6*t**3 - 3*t**2) to the form d + v*t**3 + c*t**4 + b*t**2 + u*t and give c.
36
Express 8*v**2 + 4*v**2 - 6*v**2 + 2 in the form m + j*v**2 + a*v and give j.
6
Express 15 - 280*r - 2*r**2 + 50 + 280*r as p + b*r**2 + o*r and give p.
65
Express -13*u**2 - 4*u**2 + 1 + 3*u**2 - 2 as p + j*u**2 + t*u and give j.
-14
Express (3 + 1 - 2)*(2 - 3*n - 2) + (-4 - 4 + 1)*(-7*n + 2*n + 3*n) in the form g + x*n and give x.
8
Express -x**3 + 8 - 1 + 3 + x**2 - 7 - 2*x**4 as p + j*x**3 + w*x**2 + t*x + r*x**4 and give p.
3
Rearrange (46 + 2*r - 51 - r)*(12*r - 3*r**2 - 12*r) to the form k + u*r**3 + t*r + z*r**2 and give u.
-3
Rearrange (3 + 2 - 4)*(-4 - 1 + 0)*(-2*a + 3*a + 0*a) to the form p + x*a and give x.
-5
Express j**2 - 21 + 40 + 7 in the form h*j + m + z*j**2 and give h.
0
Rearrange (1 - 2 + 0)*(2 - 4 - 1)*(0 + 0 - 2*j**2 + 17*j**2 + 200 - 200 + (-j + 2 - 2)*(3*j - 4*j - j) - j**2 - 1 + 1) to z*j**2 + h*j + c and give z.
48
Express q**2 - q**2 + 2*q**4 + (-4*q + 4*q + 3*q)*(-5*q + 5*q + 22*q**3) in the form m*q**3 + i*q**4 + f + x*q + k*q**2 and give i.
68
Express -q**4 + 2*q + 2*q - 1 + 3*q**4 - 2*q as j*q**2 + n*q**4 + k + i*q**3 + z*q and give z.
2
Rearrange 2*o**2 - 378 + 378 + o to s*o + u*o**2 + p and give u.
2
Rearrange (-3*g**3 + g**3 + 4*g**3)*(-14 - 4 - 11)*(-2*g - 5 + 5) to p*g + b*g**3 + w*g**4 + h + n*g**2 and give w.
116
Express (-a + 0*a + 2*a)*(18*a - 4*a - 9*a) - 3*a**2 - 3*a**2 + 4*a**2 as c*a + y + o*a**2 and give y.
0
Express (5 + 3*t**2 - 5)*(-t + 3*t + 0*t) in the form d*t**2 + z*t**3 + p + u*t and give z.
6
Express -15*w**3 + 4*w**3 + 2*w**4 + 8*w**3 + 4*w - w**3 as n + h*w**2 + b*w**3 + a*w**4 + q*w and give b.
-4
Express -11*z - 18*z + 3*z + 5*z - 2*z - z - 5*z - 3*z + 6*z + (3 - 6 + 4)*(z + 2 - 2) + 2*z - 2*z + 2*z in the form u*z + c and give u.
-23
Express (-4*l + 0*l + 6*l)*(-66 - 15 + 1) in the form s*l + q and give s.
-160
Rearrange (2*x - 2 + 2)*(10*x - 6*x - x) + (4*x**2 - 4*x**2 - x**2)*(-3 + 1 + 4) to the form m*x**2 + k*x + a and give m.
4
Express -13 - 47*y**2 + 13 as r*y**2 + p + l*y and give r.
-47
Rearrange 0*a + a + 2 + 5*a**3 - 7*a**3 to y*a + q*a**3 + z + h*a**2 and give z.
2
Rearrange ((-1 + 1 - y)*(-1 + 7 - 3) - 2*y + 4*y - 4*y)*(-2 + y + y - y + (2*y - 5*y + 2*y)*(-2 - 4 + 5)) to c + o*y**2 + f*y and give f.
10
Rearrange 2*n - 2*n - n + (4*n - 2*n + n)*(-1 - 3 + 5) - 4 - 6*n - 3 + 5 to the form a*n + s and give s.
-2
Express 122*u - 123*u - 2*u**3 - 3*u**4 + 17*u**2 + 2*u**4 in the form l*u**4 + t*u**2 + j*u + g + i*u**3 and give l.
-1
Rearrange -y**4 + 5 + 15*y - 2*y**3 - 16*y - 7 to s*y + g + i*y**3 + n*y**2 + r*y**4 and give i.
-2
Express (-1 + 4 + 0)*(14*r**2 - 8*r**2 - 22*r**2) in the form f*r + p + x*r**2 and give x.
-48
Rearrange (27 - 38 + 24)*(-3*g + g + 4*g) to x*g + a and give x.
26
Express (-4*j**2 + j**2 + 2*j**2)*(0*j - 1 - j**2 + 0*j**2 + 2*j) as i*j**3 + k + z*j + l*j**4 + s*j**2 and give i.
-2
Express (-3*s**3 + s**3 - 5*s**3)*(4 - 4 - s + 3*s - 5*s + s + (2*s - 4 + 4)*(-2 + 0 + 0) - s + s + 2*s) as y + a*s**2 + g*s**4 + c*s**3 + n*s and give g.
28
Express -7 + 15 - 16*b - 8 as u*b + j and give u.
-16
Express -6*r**4 + 6*r**4 - 6*r**4 + (46 - 10*r**3 - 46)*(-4 + 4 + 6*r) as m*r**4 + j*r + t + v*r**3 + z*r**2 and give m.
-66
Rearrange 3*r**2 - r**2 - r**2 - 8*r**3 + 15*r**3 to the form a*r**3 + q*r**2 + h*r + f and give a.
7
Rearrange (b**2 + 2*b**2 - 5*b**2)*(-13875 + 80*b**2 + 13875) to the form n*b + h*b**3 + r*b**2 + f + p*b**4 and give p.
-160
Rearrange -4 + 13*y - 3 + 7 to x + n*y and give n.
13
Express -187*g**2 - 2 - g**4 + 9 + 185*g**2 as k*g**2 + b*g**4 + r*g + i + y*g**3 and give b.
-1
Express (0*d**4 - 2*d**4 + 3*d**4 + (1 - 2*d**3 - 1)*(-2*d + d - d))*(-13 - 16 - 5) as r + y*d + z*d**4 + q*d**3 + h*d**2 and give z.
-170
Express 6*j + 0*j - 4*j - j**2 - 10*j**2 in the form l*j**2 + t + a*j and give a.
2
Express -16 - 2*b + 6*b + 18 + 2*b**3 - 2*b as i*b**2 + f*b + g*b**3 + c and give g.
2
Express 22 - 12 + 14 + 3*y**2 - y**2 as b*y**2 + j + d*y and give j.
24
Rearrange -6*p - p**2 - 8 + 6*p to the form y*p**2 + l*p + i and give y.
-1
Rearrange (4*r**2 - 15*r**2 - 8*r + 10*r)*(1 + 1 - 4) to w*r + j*r**2 + u and give j.
22
Rearrange -18*a + 64 - 64 to b*a + v and give b.
-18
Express -w - 2*w**3 - 8 - 4*w**2 + 4*w**2 + 23 - 2*w**4 in the form u + k*w + b*w**2 + y*w**3 + c*w**4 and give k.
-1
Rearrange (2 - 3 - 1)*(18 - 14*i**3 - 18) - 3*i**3 + 2 - 2 to n*i**2 + c*i + g*i**3 + q and give g.
25
Rearrange -11 + 5*k + 11 to the form b*k + l and give b.
5
Express -10*c - c + 0 + 2*c + 2 in the form z + q*c and give z.
2
Rearrange (7 + 19 + 2)*(2*y + y**4 - 2*y) to a + l*y**4 + m*y + h*y**3 + z*y**2 and give l.
28
Rearrange a - 2*a**2 + 5*a**2 - a**2 + a**2 to the form f*a + j + v*a**2 and give v.
3
Rearrange 7 + 8 - 45*q**2 + 82*q**2 - 44*q**2 to y + x*q + c*q**2 and give y.
15
Express 4*r**2 + 5*r**2 - 3*r**2 + r**2 as w*r**2 + p + i*r and give w.
7
Rearrange -38 + 3*b + 5 - 5*b to the form y + l*b and give l.
-2
Rearrange 14 - 13 - 7*t + 5*t to g*t + h and give h.
1
Express (-x**3 + 1 - 1)*(-9*x - x + 12*x) in the form g*x**3 + m*x**4 + q + u*x**2 + h*x and give m.
-2
Rearrange -2 + j**3 - 10*j**4 + 2*j**4 + 1 to x*j**2 + m*j + b*j**4 + c*j**3 + r and give c.
1
Rearrange (-2*u + 2*u - 8*u**2)*((-1 + 2 + 0)*(-1 - 4 + 3) + 2 - 4 + 1 - 3 + 0 + 4)*(2 - 5 - 1) to m*u**2 + d + b*u and give m.
-64
Express (-1 + 1 - 2*p)*(0*p + 0*p - 2*p) + 2 + 2*p**2 - 2 + 0*p**2 + 6*p**2 - 4*p**2 + (-2*p + 4 - 4)*(3*p - p - p) in the form a + h*p**2 + z*p and give h.
6
Express 11*n + 8*n - 46*n - 49*n as v + b*n and give b.
-76
Express 188 - 72*k - 188 + k + k - k + k + k - 4*k + (-4*k + 2*k + 0*k)*(-3 + 3 + 1) as l + t*k and give t.
-75
Rearrange (4*u - 1 - 4*u + u**2)*(-5*u**2 + 2*u**2 - 4*u**2) to the form d*u**4 + r*u**3 + x*u + l*u | {
"pile_set_name": "DM Mathematics"
} |
e fourth smallest value in -0.04, -0.3, 53, 6253, -2/3?
53
Which is the sixth smallest value? (a) -0.5 (b) 1/227 (c) 0.4 (d) -2/13 (e) 2/27 (f) 0.76
f
What is the second smallest value in 5, -27, 182, 2, 1, 4, -2/15?
-2/15
What is the second smallest value in 111, 6/29, 9/185, -0.3?
9/185
Which is the second smallest value? (a) 6/5 (b) -1484 (c) -4 (d) -6 (e) -0.06
d
Which is the third smallest value? (a) 0.5 (b) -1/307 (c) -2/7 (d) 2/121
d
Which is the third biggest value? (a) 2/11 (b) 1 (c) 0.14 (d) 11 (e) -0.302 (f) 17/2
b
What is the third smallest value in 14551, 0.13, 1/5?
14551
Which is the third smallest value? (a) 17/3 (b) -1776 (c) 3 (d) 2 (e) 5 (f) -6
d
Which is the fourth smallest value? (a) 5/2 (b) 0.5 (c) 1867 (d) 255.6
c
What is the smallest value in -1, -1/3, 5, -5/3, -2/18933?
-5/3
What is the sixth biggest value in 0.1, -0.6, -3/8, -5, 2, -1/185, -3/4?
-3/4
Which is the smallest value? (a) 1 (b) 0.14 (c) -3 (d) 3157648/7 (e) -1
c
Which is the fifth biggest value? (a) 10.4 (b) -1/7408 (c) 1/7 (d) 0.1 (e) 3
b
Which is the fifth biggest value? (a) -2.9 (b) 1 (c) 0.2 (d) -75/7 (e) 3
d
What is the fifth smallest value in 0.5, 0.1711, 0.3, 304, -6?
304
Which is the biggest value? (a) -134/7 (b) 82 (c) -153
b
Which is the fifth biggest value? (a) -0.2 (b) -3/8 (c) -12 (d) -24310/9 (e) -0.5
d
Which is the second biggest value? (a) 3560503 (b) -1.7 (c) -3/5
c
Which is the biggest value? (a) 2/5 (b) -3978 (c) 2/21 (d) 378
d
Which is the third smallest value? (a) -43 (b) 3 (c) 2/17 (d) 19/5 (e) -4
c
Which is the third biggest value? (a) 3 (b) -61949118 (c) 1/7
b
Which is the fourth smallest value? (a) 179 (b) -0.68 (c) -2 (d) -7/9
a
Which is the fifth smallest value? (a) 6 (b) -1252 (c) 0.8 (d) -5 (e) 1 (f) -27
e
Which is the second smallest value? (a) 0 (b) 4 (c) -5/4 (d) -161874901 (e) -2/5
c
What is the second smallest value in 2/3, -0.9, -1030/7, -0.2, 1/5?
-0.9
Which is the fourth biggest value? (a) -26 (b) -1/87 (c) 6 (d) -2 (e) -1 (f) -3
d
Which is the fourth biggest value? (a) 0 (b) -4 (c) -2810 (d) 0.3 (e) 90
b
Which is the third biggest value? (a) 3 (b) 0 (c) 106852.296
b
Which is the third smallest value? (a) 1/5 (b) -483 (c) 0.024 (d) 2/15 (e) 2/17 (f) -0.3 (g) -0.1
g
Which is the second biggest value? (a) 0.1 (b) -9 (c) 11 (d) -1.02 (e) -25 (f) -2/5 (g) 1
g
What is the second smallest value in -103.2, 21, -0.093?
-0.093
What is the fourth smallest value in -241, -2/13, -2, -19/4, 2, -0.5?
-0.5
What is the biggest value in 172, -1481, 2/5?
172
Which is the sixth smallest value? (a) 4 (b) -0.1 (c) 1/7 (d) 6/55 (e) 18.33 (f) 2/13
e
What is the biggest value in -3, -1/43601851, 2/7, 1/4, 2?
2
What is the third biggest value in -6/7, -0.5325738, -0.4?
-6/7
What is the second biggest value in -146, -3, 21, 0, 76, 3, -0.4?
21
Which is the second biggest value? (a) 5 (b) 0 (c) -0.3 (d) 1/6 (e) -8671 (f) 1
f
Which is the smallest value? (a) -69845 (b) 4 (c) -1109
a
Which is the fifth biggest value? (a) -99.94 (b) 1/2 (c) -0.5 (d) -352 (e) 0.2
d
What is the second smallest value in 0.02, -2, -63, 0.1, 4, 6, 3/2?
-2
What is the second smallest value in -2/7, -3, -0.3, 1106, -1?
-1
What is the smallest value in -4/7, -0.8, 682, 5, 0.7, -2/5, -3?
-3
What is the second smallest value in 0.2, 2/5, -2, -0.2, 52/5, 103, -59?
-2
Which is the smallest value? (a) -2 (b) -2/97 (c) -4 (d) -3 (e) 58 (f) 2
c
Which is the second biggest value? (a) 50 (b) 4 (c) -3/4847 (d) -0.5
b
What is the second biggest value in 4, 22, -162/7, -4, 1/9, 3?
4
Which is the second smallest value? (a) 5 (b) -1 (c) -6 (d) -25643 (e) -5
c
Which is the second biggest value? (a) 0.3 (b) 60312 (c) -2/29
a
Which is the second biggest value? (a) -12/11 (b) -5.291 (c) 8
a
Which is the third smallest value? (a) -0.5 (b) 883 (c) 23 (d) 126/11
c
Which is the fourth smallest value? (a) -245.9 (b) 275 (c) 0.2 (d) -3 (e) 3 (f) 5 (g) -0.03
c
What is the fifth smallest value in -1/4, -0.1, -127, 2/7, -3224?
2/7
What is the fourth smallest value in 0, 2/2687, -163, 9/26?
9/26
What is the fourth biggest value in -108, 0.2379, -3, -4?
-108
What is the third smallest value in 1366.29, -1, 0.16?
1366.29
Which is the biggest value? (a) -5 (b) 3 (c) -292.169 (d) -0.1
b
What is the fifth biggest value in -25, -3, 6/7, -2, -1/5, 11/16?
-3
What is the second biggest value in 52/3, 2/5, -75, -1, -2, 1?
1
Which is the second smallest value? (a) 3 (b) 0.26 (c) -132.18 (d) -2 (e) 0
d
Which is the third biggest value? (a) 26.21 (b) 3 (c) 4 (d) -0.5 (e) -5/4 (f) -0.2
b
Which is the fourth smallest value? (a) 1.5 (b) -19 (c) -34 (d) -4/7 (e) -6
d
What is the biggest value in -42, -4, 0.2, -0.1, -6, -200?
0.2
What is the second biggest value in -2/3, -63, -0.3, -20, -2, 2/9, -0.25?
-0.25
What is the fourth smallest value in -2, 0.39, -21.2, -1, -160?
-1
Which is the seventh smallest value? (a) -5 (b) 0.4 (c) -4 (d) 13 (e) 2.8 (f) -2/7 (g) 6
d
Which is the third biggest value? (a) -1/6 (b) -0.1 (c) -3 (d) -0.12 (e) -20/19 (f) -295
a
What is the fourth smallest value in -0.3, 0.2, 1/8, 72819, -2/5?
0.2
What is the sixth biggest value in -2/29, -2/11, 6, 0.4, -2, 19/421?
-2
Which is the sixth biggest value? (a) 5 (b) 50 (c) 1/3 (d) -1/1598 (e) 2/9 (f) 103
d
What is the third biggest value in 32/7, 2/75, -149833?
-149833
Which is the second biggest value? (a) -13345 (b) 7 (c) 42/11 (d) -1
c
Which is the fifth biggest value? (a) 0.3 (b) 1 (c) 0.1 (d) 50/11 (e) -0.18
e
What is the biggest value in 5, -0.2, 3/7, -3, -79.0733?
5
What is the fifth biggest value in 2, 0.01, -33, 46, 0.22?
-33
What is the fourth biggest value in -12/73, -8, -0.4, -0.5, 0.23, 0.1?
-0.4
What is the second biggest value in -1/9, -5/4, 1, -59451?
-1/9
What is the sixth smallest value in -2/7, 2/3, -54795, -2/5, 36, 0.4?
36
What is the biggest value in -25, -0.1, 1339/14?
1339/14
Which is the smallest value? (a) -2/3 (b) -2558 (c) -6/13 (d) -13
b
Which is the fourth smallest value? (a) -0.2 (b) 4/3 (c) 47 (d) -2 (e) 2 (f) -1487
b
Which is the second smallest value? (a) -1 (b) -6345 (c) 307
a
Which is the fifth biggest value? (a) -0.05 (b) -14 (c) 1 (d) -3 (e) 6/5 (f) 4.2 (g) -0.2
g
Which is the second smallest value? (a) 0.5 (b) -2/13 (c) 249028
a
What is the smallest value in 0.1, 8.5, 0.9, -2, -0.1?
-2
What is the biggest value in -372, 15874, 31?
15874
Which is the fourth biggest value? (a) -0.75 (b) -3263 (c) 34 (d) -5
b
What is the fifth smallest value in 0, 2958, -146, 0.1, 0.7, -0.2?
0.7
What is the third smallest value in 34, 3/5596, 1/14?
34
Which is the third biggest value? (a) -174 (b) 100435 (c) 1
a
Which is the sixth biggest value? (a) 4 (b) 2/109 (c) -11 (d) 4/3 (e) 2170 (f) 1/3
c
Which is the fourth biggest value? (a) -0.5 (b) 136 (c) -4 (d) -2/19 (e) -2.0896
e
Which is the biggest value? (a) -0.1 (b) 6596091 (c) 0.2
b
What is the smallest value in -1, 277183.24, -8, 0.1?
-8
What is the biggest value in 0.6, 0.5, -3, 13, -0.100228?
13
What is the sixth smallest value in -312, -4/5, 0.29, -3, 4, -0.5?
4
What is the fifth smallest value in -7.9, 3, -6/11, 1.3, 37?
37
Which is the fifth biggest value? (a) 1/7 (b) 2 (c) 4 (d) 1/4 (e) -13 (f) -3/5 (g) 1/14
g
What is the third smallest value in -3360, 64, -3?
64
What is the smallest value in 1447834, 1/9, -1/6?
-1/6
Which is the fourth biggest value? (a) -9071 (b) -3/4 (c) -38/5 (d) 2/15
a
Which is the smallest value? (a) -49.5 (b) 0.6 (c) -106052
c
What is the second biggest value in 386, 0.4, 1, 0.5, 0, -28, -57?
1
Which is the fourth biggest value? (a) 1.283 (b) -5 (c) -1/1882 (d) -1 (e) 0
d
Which is the third biggest value? (a) -2 (b) -239 (c) 3 (d) -770/23
d
Which is the third smallest value? (a) 0.4 (b) -18 (c) -5 (d) 41 (e) 3/4 (f) -281 (g) 0.3
c
Which is the second biggest value? (a) 9737/45 (b) -5/6 (c) -7
b
Which is the second smallest value? (a) 3/14 (b) 0.4 (c) -1/5 (d) -5 (e) -1516 (f) 0.5
d
Which is the biggest value? (a) -7.5 (b) -2/3 (c) 57/7 (d) -0.089
c
Which | {
"pile_set_name": "DM Mathematics"
} |
, x = 2*g + 4*u - 2142. What is the thousands digit of g?
1
Let l be (0/(-6 - -10))/(-1*1). Suppose l = 3*a - 7*a. Suppose i = -5, -3*z + 339 = -a*z + 3*i. What is the units digit of z?
8
Suppose -7*v + 2*l = -11*v + 13608, -12*v + 5*l = -40868. What is the units digit of v?
4
Let l(q) = -14*q + 3. Let n be l(0). Suppose 0 = -n*s + j + 4136, -5*j + 1414 = 4*s - 4088. What is the thousands digit of s?
1
Let g(a) = -69*a + 710. What is the hundreds digit of g(-33)?
9
Let h(v) = 3*v**3 - v**2 - 8. Let l be h(4). Suppose -l = -4*i - 0*i. Let k = i + -30. What is the units digit of k?
2
What is the thousands digit of 16589/1 + (-5)/35*-2*14?
6
Let b(i) = i**3 + 16*i**2 + 16*i + 9. Let s be b(-15). Let n be s/9 + -21*(-8)/36. Suppose l = u + 97, -3*l + n*u + 279 = 5*u. What is the units digit of l?
4
Suppose 2*m - 6*m + 202 = 2*r, 0 = -2*m + 10. Suppose 2*a - 8*v + 11*v = r, a - 38 = -4*v. What is the tens digit of a?
5
Let p(x) = -x**3 + 20*x**2 + 26*x + 10. Let n = -3 - -24. What is the tens digit of p(n)?
1
Suppose 18*r - 13*r + 28120 = 5*g, -3*g + r = -16872. What is the tens digit of g?
2
Let a(x) = x - 3. Let w(z) = -z + 5. Let s(p) = 7*a(p) + 3*w(p). Let j be s(2). Suppose -j*y - y = -204. What is the units digit of y?
8
Let b be 12/10 + (-5)/(150/(-24)). Suppose b*r - 426 - 4304 = 0. Suppose -365 = 10*w - r. What is the hundreds digit of w?
2
Let u(l) = -l**2 + 19*l - 71. Let y be u(9). Let i = 239 + y. What is the units digit of i?
8
Let u(k) = -k**3 + 7*k**2 - 12*k + 10. Let p be u(6). Let n = -13 - p. What is the units digit of n?
3
Let j(z) = -81*z - 839. What is the tens digit of j(-11)?
5
Let p = -2088 + 4389. What is the tens digit of p?
0
Let h be 123/18 + (-2)/(-12). Suppose -9*p - 30 = -h*p. Let s = p + 19. What is the units digit of s?
4
Let h = -5829 + 12293. What is the thousands digit of h?
6
Let z = -23 - -34. Suppose -i + 4*x + z + 1 = 0, 123 = 4*i - x. Suppose -i = -3*k + 79. What is the tens digit of k?
3
Suppose -4*t - 835 = -y, -3*y + 8*t + 2570 = 9*t. Suppose w - 3*z + 85 = 374, -3*w - 3*z = -y. What is the tens digit of w?
8
Suppose -38*k - 53*k = -561106. What is the hundreds digit of k?
1
Let x be (-2)/(-1 + (-255)/(-257)). Let i = x + -12. What is the units digit of i?
5
Let q = 53279 - 15352. What is the tens digit of q?
2
Let l be (3/(-1) - 2)*174/145. Let f(y) = -57*y + 52. What is the hundreds digit of f(l)?
3
Suppose -124*h - 1771 = -117*h. Let v = -59 - h. What is the tens digit of v?
9
Let j be (-2 + 0)/((-1)/(-4)). Let p(h) = -20*h + 104. What is the hundreds digit of p(j)?
2
Let f = 199 - 199. Let s(k) = -k**3 + 3*k**2 + k + 1178. What is the units digit of s(f)?
8
Let h(q) = 237*q + 1056. What is the ten thousands digit of h(127)?
3
Suppose r + 2*j + 596 = -194, 3187 = -4*r + j. Let a = r - -1388. What is the units digit of a?
2
Suppose -w - 4*g = 9, 15*g + 6 = -2*w + 11*g. What is the tens digit of 5 + (1 + (-861 - w))/(-1)?
6
What is the hundreds digit of (708/120)/(-59) + 164102/20?
2
Suppose 0 = 44*x - 51*x + 11851. Let j = 3005 - x. What is the thousands digit of j?
1
What is the units digit of -2 + 20 + -27 + (-3 - -7204)?
2
Suppose -150218 = -3*x - 373*k + 377*k, -100107 = -2*x - 5*k. What is the tens digit of x?
6
Suppose -83*l + 493891 = -212259 + 172543. What is the tens digit of l?
2
Suppose -32 = -3*x - 4*g, 0 = -10*x + 5*x - 2*g + 30. Let w(i) = 7*i**3 - 7*i**2 - 5*i + 9. What is the hundreds digit of w(x)?
3
Suppose -j = 2*t - 84700, 27*t + 42350 = 28*t - 4*j. What is the tens digit of (t/(-33) + 8)*(-6)/4?
1
Suppose -81*q + 84*q = 4*d - 15146, 3803 = d + 2*q. What is the tens digit of d?
9
What is the tens digit of 10 - (-39 - (-5 - 3))?
4
Let p be ((0/4)/2)/(-13 + 14). Suppose 155*t - 144*t - 10846 = p. What is the tens digit of t?
8
Suppose -64 = -29*o - 6. Suppose -2*q + 7*q = -o*y + 570, -q - 1479 = -5*y. What is the tens digit of y?
9
Suppose -22*b - 71*b = 24*b - 909090. What is the units digit of b?
0
Let u = 17 + 16. Suppose u = -4*z + 217. Let o = 83 - z. What is the tens digit of o?
3
Suppose -10297 = 18*r - 211897. What is the units digit of r?
0
Let b(q) = 7*q**3 - 7*q - 7. Let f be b(-1). What is the hundreds digit of (-1932)/(-23)*(-48)/f?
5
Let h(f) = -32*f + 37. Let i be h(-17). Suppose -2*l + 283 = 2*x - i, 0 = 5*l - 5*x - 2200. What is the units digit of l?
6
Let i be 46/(-23)*(-1 - 2/2). Suppose -5*a + 51 = 2*b - i*a, -4*a = 5*b - 132. What is the tens digit of b?
2
Let c = 8997 + -6260. What is the hundreds digit of c?
7
Suppose 3*n + c - 24327 = 0, -4*n + 24*c - 29*c = -32403. What is the units digit of n?
2
Let v = 5 - 5. Let j = 227 + -224. Suppose 0*m - 97 = -4*l + j*m, v = 4*l + 5*m - 105. What is the tens digit of l?
2
Let n = -185 - -144. Let g = 144 + n. What is the units digit of g?
3
Let y = 8400 + -1434. What is the hundreds digit of y?
9
Suppose 175*t = 317*t - 170*t + 390376. What is the hundreds digit of t?
9
Let x be (4/(-16))/((-2)/32). Suppose -2*t - 942 = -x*i, -2*i + 4*t - 133 = -595. What is the units digit of i?
7
Suppose -42719 = -5*o + 3*q, -2*q = 5*o - 33031 - 9673. What is the hundreds digit of o?
5
Suppose -100*l - 10112 + 75312 = 0. What is the units digit of l?
2
Let k = 106 + -102. Let z be ((-942)/k)/((-6)/8). Let f = z - 182. What is the tens digit of f?
3
Let z = 71 + -22. Suppose o + 2 = 0, 4*p - 44 = -4*o - 12. Suppose p = -l + z. What is the tens digit of l?
3
Let c be -1*(6 - (361 - 1)). Let f = -232 + c. What is the tens digit of f?
2
Suppose 362 = -3*s + 1073. Let u = s - 207. What is the tens digit of u?
3
Suppose -2*z - p = 2*z - 25999, -4*z = 3*p - 25989. What is the thousands digit of z?
6
Suppose 8*m = 10*m - 4968. Suppose 0 = -3*x + 9*x - m. Suppose -156 = -5*o + x. What is the units digit of o?
4
Suppose 390 = -20*o - 90. Let u be (-2 + -1)*260/(-6). Let q = o + u. What is the tens digit of q?
0
Let a(b) be the third derivative of -14*b**2 + 0 + 7/3*b**3 + 1/8*b**4 + 0*b. What is the tens digit of a(8)?
3
Let m be 11*(1 + 1)*-12. Let y = 21054 - 21621. Let g = m - y. What is the hundreds digit of g?
3
Suppose -c = -14 - 0. Suppose -5*p = -4*m + 40, 0*p - 3*p - 12 = 0. Suppose -1386 = -c*j + m*j. What is the hundreds digit of j?
1
Let c(r) = r**3 + 9*r**2 + 3*r + 25. Let i be c(-9). Let j(y) = -324*y - 32. What is the hundreds digit of j(i)?
6
Let m(c) = -7*c**2 + 15*c + 31. Let k(w) = 20*w**2 - 44*w - 94. Let j(q) = -6*k(q) - 17*m(q). Let h be j(7). Suppose -9 = 2*r - h. What is the tens digit of r?
2
Let g be (400/125)/((-4)/10). What is the units digit of 2*((-19295)/(-150) - g/(-60))?
7
Let x = -1201 + 9426. What is the units digit of x?
5
Let a = 54303 - 17482. What is the tens digit of a?
2
Let h = 360 - 217. Let x be 2 + 4*5/4. Suppose x*n - h = 4. What is the tens digit of n?
2
Let k = -14952 + 23740. What is the thousands digit of k?
8
Let b(c) = -c**3 - 8*c**2 + c + 10. Let n be b(-7). Let a = 42 + n. What is the units digit of (34/a - 0)*-4?
4
Let s be (204/5)/(40/100). Let x(c) = c**3 - 7*c**2 - 6*c + 2. Let w be x(9). Let b = w - s. What is the units digit of b?
8
Let y be (675/(-150))/((-6)/40). What is the units digit of ((-36)/y*3 - -4)*3065?
6
Let f = -2817 + 2812. Let a = 100 + -150. Let b = f - a. What is the units digit of b?
5
Let y(n) = 179*n + 1231. What is the units digit of y(57)?
4
Let g(v) = 4*v + 30. Let c(r) = 4*r + 29. Let w(m) = 5*c(m) - 4*g(m). Let u(s) = -57*s**2 + 3477*s + 5. Let d be u(61). What is the tens digit of w(d)?
4
Let v = 1956 + -1841. Suppose -3*h + 4*h - 4*o - 1062 = 0, -h + 3*o = -1064. Suppose -v = -5*u + h. What is the hundreds digit of u?
2
Let o(y) = y**2 + y + 3. Let s be o(0). Suppose s*q - 3 = 9. Suppose -i + q*k + 171 = 4*i, 0 = -4*i + k + 128. What is the units digit of i?
1
What is the units digit of 3 - (8778/(-28) + -3)/((-2)/(-60))?
8
Let b = -6167 - -13276. What is the units digit of b?
9
Let h be (8/16)/((-6)/(-4))*-9. What is the hundreds digit of 366 - (4 - (h - -5))?
3
Suppose -2*w + 118 = 5*l - 3027, -4*l - 4*w + 2516 = 0. Let r = -312 + l. Suppose 3*x = 4*q + 487, -4*q + r = 2*x + q. What is the hundreds digit of x?
1
Suppose -2*v - 42 = -5*v. Let i(g) = 3*g - 40. Let n be i(v). Let k(f) = 27*f**2 + 2*f - 3. What is the units digit of k(n)?
9
Let f(u) = -2*u | {
"pile_set_name": "DM Mathematics"
} |
d**5 - 83*d**2 - 340016*d + 2 wrt d.
-7866864720*d**2
What is the second derivative of -31427*i**3*y**3 - 92553*i**3 - 73*i**2*y**3 + 44*y wrt y?
-188562*i**3*y - 438*i**2*y
Find the second derivative of 125229802*d**5 + 94442*d + 9.
2504596040*d**3
What is the third derivative of 128530740*q**4 + 95*q**2 + 62*q - 766 wrt q?
3084737760*q
Differentiate 257296912*s**4 + 372591887.
1029187648*s**3
What is the third derivative of -379119783*u**6 + 1454181834*u**2 wrt u?
-45494373960*u**3
Find the third derivative of -12*o**5 + 1082119*o**3 - 20*o**2 + 378764.
-720*o**2 + 6492714
Find the second derivative of -1212885*c**4 + c**3 + c**2 - 11*c + 515549 wrt c.
-14554620*c**2 + 6*c + 2
Find the first derivative of -40730572*k + 49210904.
-40730572
Differentiate -1777373*i**3 - 6028064 with respect to i.
-5332119*i**2
What is the first derivative of 6*o**2*s**2 + 382791670*o**2 + 58*o*s + 158*s**2 wrt s?
12*o**2*s + 58*o + 316*s
What is the third derivative of 598969628*i**3*n*q**2 - 49*i**2*n*q - 3*i*n*q**2 + 171*i*n - 5*i*q - 3*n - 2*q wrt i?
3593817768*n*q**2
Differentiate -56*q**2 - 58636*q - 18317994 wrt q.
-112*q - 58636
What is the second derivative of 7385*j*v**3 - 2546659*j*v + 124*v**3 + 5*v + 12 wrt v?
44310*j*v + 744*v
Find the second derivative of -534535616*v**2 - 2042075*v - 1 wrt v.
-1069071232
Differentiate 76962618*b**3*q**2 - 4*b*q**2 - 169346208*q**2 with respect to b.
230887854*b**2*q**2 - 4*q**2
Differentiate -b**3 + 13093*b**2 - 3*b + 20259310 with respect to b.
-3*b**2 + 26186*b - 3
Differentiate -g**2*m**2 + 3*g**2*m + 441*g**2 - 13492*g - 58134*m**2 wrt m.
-2*g**2*m + 3*g**2 - 116268*m
What is the derivative of -5*j**3 + 2828521*j**2 + 4*j + 349689053?
-15*j**2 + 5657042*j + 4
What is the second derivative of 18701759*d**2*t**2*y - 2*d**2*t*y**2 - 468*d**2*t - 2*d**2*y**2 - d*t**2*y**2 + t*y + 2597*y**2 + 2 wrt t?
37403518*d**2*y - 2*d*y**2
Find the third derivative of -28*b*x**5 + 18255688*b*x**4 - 13*b*x**2 - 83*b*x + 1113*b + 3*x**2 + x wrt x.
-1680*b*x**2 + 438136512*b*x
Find the second derivative of 9601543*b**2 + b + 7650869.
19203086
What is the derivative of -144944181*c*f**3 - 225*f**3 - 260*f**2 - 21*f wrt c?
-144944181*f**3
Find the third derivative of -15412601*l**4 + 19424384*l**2 wrt l.
-369902424*l
Find the first derivative of s**4 + 2388024*s**3 + 12*s**2 + 59820562 wrt s.
4*s**3 + 7164072*s**2 + 24*s
What is the derivative of -9525262*o - 3438478?
-9525262
Find the third derivative of -202*x**3*y**3 - 14956*x**3*y + 6*x**3 - 3*x**2*y**3 + 1711*x*y**3 + 6*x + y**2 wrt y.
-1212*x**3 - 18*x**2 + 10266*x
Differentiate -3572890*b + 14180285 with respect to b.
-3572890
What is the third derivative of -18*o**4 - 12355528*o**3 + 2*o**2 + 8964582*o + 5 wrt o?
-432*o - 74133168
Find the third derivative of -8055*j**2*z**4 - j**2*z**2 - j**2 + 86358*j*z + 62*z**4 - 2*z**2 wrt z.
-193320*j**2*z + 1488*z
What is the second derivative of 11174400*k**2*w + 56*k*w - 21*k - 99*w + 20 wrt k?
22348800*w
What is the second derivative of 14*b**2*m**3 + 2*b**2*m**2 - 2*b**2*m - 23744*b**2 + 4*b*m**3 - b*m**2 - 30605*m**3 - 8*m**2 wrt b?
28*m**3 + 4*m**2 - 4*m - 47488
What is the third derivative of -164903930*k**4*n**3 + 2*k**3*n**3 - k**2*n**2 + 2*k**2 - 22*k*n**3 + 1748*n**3 - n**2 + 2*n wrt k?
-3957694320*k*n**3 + 12*n**3
Differentiate -11*i*n*u**2 + 1003440*i*n*u - 2*i*n + 2*n*u - 20433*n + 5255*u**2 - u with respect to i.
-11*n*u**2 + 1003440*n*u - 2*n
Find the third derivative of 298446066*k**2*w**3 + 2*k**2*w**2 + 250*k**2 - 2*k*w**2 + 42*k + 103*w wrt w.
1790676396*k**2
Differentiate 3495523*n + 8300225 with respect to n.
3495523
Differentiate -14002*r**2 + 114*r*x - 3623687*x with respect to r.
-28004*r + 114*x
What is the first derivative of 1417828*p**3 - p**2 - 6*p - 43363355?
4253484*p**2 - 2*p - 6
What is the second derivative of -107607*c**3 + 296*c**2 - 100930511*c?
-645642*c + 592
Find the third derivative of -17923564*d**3*h**3 + d**2*h**2 - 2*d**2 - 31342634*d*h**3 - d*h**2 wrt d.
-107541384*h**3
Find the third derivative of -422428464*i**5 + 21*i**2 + i + 224272 wrt i.
-25345707840*i**2
Differentiate 124*n*p**3 - 270*n*p**2 + n*p + n + 15618339*p**3 with respect to n.
124*p**3 - 270*p**2 + p + 1
What is the derivative of 5586*h**3 + 13*h**2 + 9*h - 26342391?
16758*h**2 + 26*h + 9
What is the third derivative of -12699030*n**3 - 39*n**2 + 64999 wrt n?
-76194180
What is the second derivative of -19379*f**2*r - 2*f**2*t + 11*f**2 + f*r*t + 10*f*r + 42*f*t - 43*r*t - 2*r - t wrt f?
-38758*r - 4*t + 22
What is the third derivative of -4443*g**4 - 1011*g**3 + 51681833*g**2 wrt g?
-106632*g - 6066
What is the first derivative of -167944535*s + 108044655 wrt s?
-167944535
Find the third derivative of -3*a**2*q*z**2 + 60638*a**2*q + 4*a**2*z**3 - 2*a*q**2*z**3 + a*q**2*z + 73255*a*z**3 wrt z.
24*a**2 - 12*a*q**2 + 439530*a
What is the derivative of 9737889*l**3*r - 315993*l**3 + 7*l**2 wrt r?
9737889*l**3
What is the third derivative of 9474*m*n**6 - 817*m*n**5 + 15*m*n**2 - 5839004*n**2 wrt n?
1136880*m*n**3 - 49020*m*n**2
What is the derivative of -15603004*a**2*h**3 - 4*a**2*h**2 - 4*h**3 + h**2 - 4670533*h + 2 wrt a?
-31206008*a*h**3 - 8*a*h**2
What is the third derivative of 147196259*h**5 + 1345944*h**2 + 5?
8831775540*h**2
Find the third derivative of -49023322*k**4 - k**3 - 43272054*k**2.
-1176559728*k - 6
What is the derivative of 11947074*a**4 - 33178247 wrt a?
47788296*a**3
What is the second derivative of -32278265*h**3 - 650195*h wrt h?
-193669590*h
Find the first derivative of 182531462*v**4 + 30814010.
730125848*v**3
Find the second derivative of -44469301*h**2 - 1200*h - 1468.
-88938602
Find the third derivative of 152635765*n**4 + 243911*n**2 + 7*n - 1.
3663258360*n
What is the derivative of 8643346*x**2 - 3087532 wrt x?
17286692*x
What is the second derivative of 6205*m**3 - 3051*m**2 - 4721296*m wrt m?
37230*m - 6102
Differentiate 88*o*x + 44801515*o + 12217*x wrt x.
88*o + 12217
Find the first derivative of -297377909*c**3 - 13261800 wrt c.
-892133727*c**2
What is the second derivative of -2666*c**2*f**2*z**2 + 23785*c**2*f**2*z + c*f**2*z - 62967032*c*f - z**2 wrt c?
-5332*f**2*z**2 + 47570*f**2*z
Find the third derivative of 10524004*w**3 + 75383837*w**2 wrt w.
63144024
Find the third derivative of 43792700*v**5 - 193381*v**2 - 123 wrt v.
2627562000*v**2
Find the second derivative of -137404132*g**2 + 109773628*g.
-274808264
Find the second derivative of -1100*q**4 - q**3 - 24050*q**2 - 50070*q + 5549 wrt q.
-13200*q**2 - 6*q - 48100
Differentiate 11*a**2*f - 5*a**2*i*k + 609*a**2*i - a*f*i + 347*a*k + 26816243*f*i*k + i with respect to f.
11*a**2 - a*i + 26816243*i*k
Differentiate 18628855*h**3*r**2 - 13*r**2 + r + 31980 with respect to h.
55886565*h**2*r**2
Find the second derivative of -14*s**3*z**2 - 1320*s**3 + 38*s*z - 224453*z**3 wrt z.
-28*s**3 - 1346718*z
Find the third derivative of -14553197*g**3 + 1258385*g**2 + 3*g wrt g.
-87319182
What is the third derivative of 17171645*q**4 + 103129*q**2 + q - 17 wrt q?
412119480*q
What is the third derivative of -4*c**3*d*x**2 + 7506*c**3*x**4 - c**3 - 1015*c*d*x**4 + 298389*x**2 wrt x?
180144*c**3*x - 24360*c*d*x
What is the derivative of 288821958*d**2*l + 143*d**2 - 358772*d wrt l?
288821958*d**2
What is the third derivative of 657*b**3*l*n**3 - 5155*b**3*n**3 + b**2*l*n**3 - 5*b**2*l*n**2 - 12*b**2*l - 3*b**2 - 50*b*l*n**3 - 2*b*l*n wrt b?
3942*l*n**3 - 30930*n**3
Find the first derivative of 5293*a**4 - 12*a**3 - 25*a - 95786402.
21172*a**3 - 36*a**2 - 25
Find the first derivative of -30448*l**3*n*t - 59622655*l**3 - 23*l**2*n*t + n wrt t.
-30448*l**3*n - 23*l**2*n
Find the second derivative of m**3 + 8903041*m**2 + m - 18501994.
6*m + 17806082
What is the derivative of 84992*m**3*n + 63251050*m**3 - 2*m*n**2 - 294*m*n wrt n?
84992*m**3 - 4*m*n - 294*m
What is the second derivative of -34849*o**5 - 5356*o**2 + 2669*o + 4786?
-696980*o**3 - 10712
What is the first derivative of -53236537*i - 61774529?
-53236537
Find the second derivative of 426*x**4 + 3*x**3 - 9931*x**2 - 835*x - 90315 wrt x.
5112*x**2 + 18*x - 19862
Find the second derivative of -166*z**5 + 1487*z**4 + 15*z**3 - 663401393*z.
-3320*z**3 + 17844*z**2 + 90*z
Find the second | {
"pile_set_name": "DM Mathematics"
} |
1062. Solve 0 = -c*b - b - 45 for b.
-3
Suppose 0 = 4*o + 4*n - 84, -3*n + 82 + 19 = 5*o. Let r = o - 19. Suppose 5 = 4*t + 4*j - 7, 3*j - 14 = -4*t. Solve r*x + 25 = t*x for x.
5
Suppose 107746 + 113138 = 22*j + 57*j. Solve 2801*s = j*s - 15 for s.
-3
Let j(c) = -2*c - 41. Let k be j(-10). Suppose 0 = 8*z - 7*z + 18. Let r = z - k. Solve 1 + r = -2*s for s.
-2
Let f(o) = -62*o - 7425. Let p be f(-120). Solve 0 = i - p*i - 70 for i.
-5
Let q be (-2)/5*(-7 + 2). Let u = 182 + -158. Suppose -u = -0*j - 4*j - 4*p, -4*j + 16 = 2*p. Solve -q*m = j*m + 16 for m.
-4
Suppose -5467 = -13326*i + 13255*i. Solve -i*w - 39 = -655 for w.
8
Let u(b) = 21*b - 132. Let t be u(10). Let x be 104/t - (-2 + (-30)/(-9)). Solve x = 3*p + 4 - 16 for p.
4
Suppose 3*g + 1519 = -28*g. Let c be (-3)/(6/7)*28/g. Solve c*v = 4*v - 6 for v.
3
Let f(b) be the third derivative of -b**7/5040 + b**6/90 - b**5/12 - 3*b**2. Let g(z) be the third derivative of f(z). Let w be g(3). Solve w*i + 0 = 20 for i.
4
Let p = -834 - -838. Solve 0 = 4*g - 8 + p for g.
1
Suppose -370*y = -418*y + 1344. Solve -58 + 226 = -y*q for q.
-6
Let w = 4 - 2. Let m(i) = -11*i - 34. Let q be m(-4). Suppose w*z = -q + 22. Solve -u = -z*u + 10 for u.
2
Suppose d = 12 + 2. Suppose 18*c = d*c + 8. Let h be -6*(2 + (-5)/c). Solve r - 4 = -h*r for r.
1
Suppose -t + 5*x - 11 - 5 = 0, -30 = -5*t + 3*x. Let z be (-1 - (8 - t))*1. Solve 4 = -h - z*h for h.
-4
Suppose -6*u - 50 = -236. Let i = u - 7. Suppose 0 = -3*t - i + 42. Solve -3*q + q = t for q.
-3
Let u = 2 + 28. Let j be ((-1)/(15/12))/((-6)/u). Solve -7*b = -j*b for b.
0
Let n(w) = 12*w - 32. Let v be n(4). Let l be v/104 - ((-200)/26)/2. Suppose -11 = 3*o + 4*m, 3*o + 4 = o - 2*m. Solve l*g - o*g = 5 for g.
5
Let f be 6/(-6)*12*(-2)/4. Suppose 6*a + 2*a = 2*a. Solve 2*g - f = -a*g for g.
3
Let o be (-24)/18*(-3)/2 + -84. Let a = o - -44. Let f = 39 + a. Solve 3 + f = -y for y.
-4
Suppose -v + 5*n + 4 = 0, -5*v - 2*n + 5 = -15. Suppose 9 = 3*a + 3*c, -c + 4 - 1 = -v*a. Solve 5*m + 43 - 28 = a for m.
-3
Let z(f) = f**2 - 5*f - 11. Let g be z(-2). Suppose 0 = 2*c - 3*c - g, 2*c = 4*m - 34. Solve -m*a = -6*a - 5 for a.
5
Suppose -b + 3*r = -19, -356 + 338 = -2*b - 4*r. Solve 3*f = b*f - 3*f for f.
0
Let c(d) = d + 13. Suppose 4*g - 2*x - 28 = 0, -6*g = -3*g + 3*x - 30. Let t be ((0 - 1)*g)/1. Let l be c(t). Solve 4*u + l = 1 for u.
-1
Let b(g) = -11*g - 22*g - 383 - 72 + 45*g - 31*g. Let w be b(-24). Solve -w = 4*i + 11 for i.
-3
Suppose -5*a + 3*k + 19 - 3 = 0, 2*k = a + 1. Let z be (-6)/(-4) + a/10. Suppose z*i - 14 = -4. Solve 0*s + 5*s + i = 0 for s.
-1
Let f = -599 - -1005. Suppose -18*j + f = 11*j. Solve -j + 18 = y for y.
4
Let p(w) = -5*w**2 - 113*w + 43. Let y be p(-26). Let d = y + 411. Solve d = n + 15 for n.
-3
Suppose -j + 7 = 3. Let o be 4 - j*1/(-2)*-1. Solve o*z - 6*z + 12 = 0 for z.
3
Let g(p) = -5*p + 136. Let x be g(15). Suppose -82*l + x*l = -42. Solve 2 + l = -4*d for d.
-1
Let n(m) = -m**3 + 9*m**2 + 10*m - 20. Let x be n(10). Let s be x + 22 - (0 - (-1 - -2)). Suppose -3*w - 3*w = -s*w. Solve 0*z + 3*z = w for z.
0
Let s be (-30)/(-255) - 1900/(-34). Let o be (14/s)/((-2)/(-16)). Solve -4*l + o*l = 0 for l.
0
Let y be (0/2)/(-1 + 0). Suppose y = 4*a + 12, -3*a + 100 = -b + 10. Let f = -95 - b. Solve -29 = -5*m - f for m.
5
Suppose 0 = 5*x - 3*h - 0*h - 94, 42 = 6*h. Solve -x*v - 20 = -28*v for v.
4
Suppose 6*k + 21 - 69 = 0. Let t(u) = 6*u - 44. Let d be t(k). Solve -o + d*o = 0 for o.
0
Let u(n) = -n**2 + 6. Let p be u(0). Suppose p*o - 82 = -10. Solve -o*g = -0*g - 36 for g.
3
Suppose v - 39 = -0*v. Suppose 4*r = -v - 1. Let c = 10 + r. Solve 4 + c = -a for a.
-4
Let b(x) = -13*x**3 + 53*x + 166. Let u be b(-3). Solve u = -11*t + 325 for t.
-3
Let l = -4636 + 4785. Solve -l*f + 134*f = 0 for f.
0
Let v be (-1)/((-3)/(-219)) + -2. Let h = v - -114. Suppose 35 - h = -2*n. Solve y - n*y + 1 = 0 for y.
1
Let w(s) = -4*s**3 + s + 2. Let b be (-3 - (-246)/14) + 12/(-21). Let u = b + -15. Let n be w(u). Solve 8 + 2 = -n*g for g.
-2
Suppose -25*n - 52 = 273. Let a(t) = 6*t + 95. Let c be a(n). Solve 6*l - 1 = c for l.
3
Let w(a) = 2*a**2 + 6*a + 4. Let x be w(-4). Suppose 0 = -3*g + 259 - 241. Let l(y) = -y**2 + 14*y - 46. Let b be l(g). Solve -b*k = k - x for k.
4
Let l = 3815 + -3810. Solve 49 = -l*x + 24 for x.
-5
Let h(m) = -m**3 + 11*m**2 - 8*m - 4. Let d be h(10). Let g = -11 + d. Suppose 3*y = -3*y + 150. Solve g*w - y = -0*w for w.
5
Let j(a) = 2*a - 26. Let h be j(22). Suppose h = -952*o + 955*o. Solve 6 = -o*v + 4*v for v.
-3
Suppose -8*m + 124 - 48 = -52. Solve 160 = m*s - 48*s for s.
-5
Suppose -2*l + 22 = 4*u, -25 = -7*u + 2*u. Let n(r) = -6 - l - 3*r + 22. Let m be n(5). Solve 0 = -m*f + 5*f - 15 for f.
3
Let c = -2217 - -4681. Let v be 2 + 32/(-12) - c/(-42). Solve v - 54 = 2*t for t.
2
Let p(g) = g**2 - 10*g + 14. Let v be p(9). Let f(w) = w**2 - 3*w - 4. Let y be f(4). Solve -v*s - 6 + 1 = y for s.
-1
Suppose -q + 6 = -0. Let t be -6 - -25 - 266/14. Suppose 0 = 3*o - 13*j + 18*j - q, t = -5*j. Solve 0 = -o*r - 3*r - 15 for r.
-3
Let n(f) = -3*f + 8. Let z be 2/(-6) + (-57)/(-9). Let q be n(z). Let m be (q/(-15))/((-2)/(-6)). Solve -10 = -m*w - 0*w for w.
5
Let f be (-4)/(-20) - (-138)/10. Suppose 4*m = 11*m - f. Suppose -m*q + 8*q = 0. Solve 2*n + q*n = -8 for n.
-4
Let o = -6 - -14. Let g = o - 4. Suppose -5*x - g*p + 15 = -25, x - p = -1. Solve -4*w = 20 - x for w.
-4
Let m(x) = 9*x + 13. Let o be m(-4). Let z = 11 + 19. Let d = z + o. Solve -3*t = -d - 2 for t.
3
Suppose 0 = -3*v + p + 29, 2*p - 5*p = 3*v - 9. Solve v*r = 3*r - 0*r for r.
0
Let s = 4180 - 4178. Solve -38*v + 180 = -s*v for v.
5
Suppose -4*c - 277 = 5*m, 4*c - 16 - 49 = m. Suppose 0 = 5*k - p - 285, -2 = -3*k - 5*p + 197. Let y = m + k. Solve 0 = d - 1 - y for d.
2
Let c be -27 - (174/145)/((-3)/10). Let k = c + 43. Solve -k = -4*r - 28 for r.
-2
Suppose 20*c - 23*c + 10 = 4*p, 16 = 5*p + 2*c. Solve 6 = p*k - 14 for k.
5
Let u = -296 - -151. Let j = u - -157. Let h be 3/6 + 15/6. Solve -y - j = h*y for y.
-3
Suppose -91 = -5*q - z, 5*q - 76*z = -79*z + 93. Let k(x) = -x + 1. Let h be k(-6). Solve -a = -h*a + q for a.
3
Let j(a) = -a**3 - 3*a**2 + 4*a + 4. Let q be j(-4). Let y be (-2)/(-11) + 350/(-110). Let l = -3 - y. Solve -m + q = -l*m for m.
4
Let m(a) = 5*a + 7. Let r be m(-15). Let i(w) = -w**3 + 15*w**2 - 20*w + 16. Let d be i(14). Let k = r - d. Solve 0 = -2*g - k*g - 8 for g.
-4
Suppose -77*n - 99 + 3382 = -2415. Solve -6 = 17*i - n for i.
4
Let i(p) = -3*p**3 + p + 1. Let h(z) = -16*z**3 + 51*z**2 - 142*z + 149. Let y(d) = h(d) - 5*i(d). Let a be y(48). Solve a = -5*c + 9 - 14 for c.
-1
Let v be 15462/69 - 6/69. Solve -4*y + v = 204 for y.
5
Let t be 8/5 + (-8)/(-20). Suppose -t*l = -2*q - 6, 15 = 5*l - 3*q - 0*q. Let s be -3 - -12*(-8)/(-16). Solve -3*i - l = s for i.
-2
Suppose -15 = -7*i + 210 + 160. Solve i*n - 18*n + 185 = 0 for n.
-5
Let k be -6 + 12/(-10)*(-22)/(-33)*-580. Solve 7*p + 493 - k = 0 for p.
-5
Let a(g) = -2*g**2 + 32*g + 38. Let y be a(17). Let v be (-5)/15 - y/(-12). Solve v = z - 5*z for z.
0
Let a(z) = 85*z + 4252. Let s be a(-50). Suppose -21 = -5*t + w, 5*t - 5*w + w = 24. Suppose 5 = -5*y + j, 3*j = s*y + 19 - t. Solve -2*l + 0*l = y for l.
0
Let u be 51/12 + (-27)/12 + 2. Let m be (u - 8 - -8)*11. Solve m*k = 48*k + 8 for k.
-2
Let d(c) = c + 7. Let h be d(-2). Suppose -2*k = -h + 5. Solve k = -5*q - 17 - 8 for q.
-5
Let b = 34 - 29. Suppose -4 = 4*l + f, 4*f = -b*l + 7*f + 12. Suppose -5*n + 54 = -3*y, -y + 0*y = 5*n - 42. Solve i - 4*i + n = l for i.
3
Suppose 14*c = -2*m + 310, c + m + 9 - 26 = 0. Suppose 5*l - 70 = -6*a + 4*a, -96 = -4*a + l. Solve -a*s + c*s = 4 for s.
-2
Suppose -52*r = 429 - 1521. Solve -r*s - 116 = -74 for s.
-2
Let a(w) = -26*w + 399. Let t be a(4). Solve 8*x - t + 303 = 0 for x.
-1
Suppose 21*h - 275 = -4*h. Solve h*q + 30 = -4*q for q.
-2
Suppose -5*m - 554 = -4*y, 2*y = 3*m + 249 + 83. Let q = 116 + m. Solve 20 = -q*z + z for z.
-4
Let b = -147 - -239. Let f = 92 - b. Solve -20*v + 18*v - 10 = f for v.
-5
Let j(s) = -s**2 + 18*s + 5. Let y be j(18). Suppose 5*p + 2*f - 60 = 0, -f = 4*p - 3*f - 48. Suppose k = y*k - p. Solve -k*a = -7*a - 8 for a.
-2
Let r(k) = k**2 - 9*k + 18. Let c b | {
"pile_set_name": "DM Mathematics"
} |
rder.
-303, -4, -4/3, -1/10, 0.1, 5
Put -2, -3, 4, 2712, 1 in descending order.
2712, 4, 1, -2, -3
Sort -1, -11.8, 2/5, -3/8 in decreasing order.
2/5, -3/8, -1, -11.8
Sort -54, -1, 17, 1 in ascending order.
-54, -1, 1, 17
Put 46, 1069, 4, -4, 1, -2 in decreasing order.
1069, 46, 4, 1, -2, -4
Put 373, 3, 404 in increasing order.
3, 373, 404
Put -3.9, -3, 0.12, -2 in descending order.
0.12, -2, -3, -3.9
Put 6, -4, -3141, 2, 1 in ascending order.
-3141, -4, 1, 2, 6
Put -111, 1, 9, -3 in ascending order.
-111, -3, 1, 9
Sort -209, 3, -20, 1 in increasing order.
-209, -20, 1, 3
Put -33, -4, 6, 1899, 5, -1 in decreasing order.
1899, 6, 5, -1, -4, -33
Put -8, -0.1, 0.099, 1 in descending order.
1, 0.099, -0.1, -8
Sort 89, -4, -348, -3, 3.
-348, -4, -3, 3, 89
Sort 2/9, -12/19, 2/5, 3/4, -5, 8.
-5, -12/19, 2/9, 2/5, 3/4, 8
Sort -2, 3, -13, 2, -1, 12 in descending order.
12, 3, 2, -1, -2, -13
Sort -3, -4, 2, 0.12, 3 in ascending order.
-4, -3, 0.12, 2, 3
Sort 5, 394, 2, -2, 8 in ascending order.
-2, 2, 5, 8, 394
Put 7, 2/9, 50, -2 in descending order.
50, 7, 2/9, -2
Put -0.1, -4, -15/8, -1/67 in ascending order.
-4, -15/8, -0.1, -1/67
Sort 0, 2/5, -2/47, 0.06, 5 in ascending order.
-2/47, 0, 0.06, 2/5, 5
Put -4, -7, 2.6, 1, 0.3 in ascending order.
-7, -4, 0.3, 1, 2.6
Put -11, 3, -31, -3 in decreasing order.
3, -3, -11, -31
Sort 1, 0, 10, -23, -1 in descending order.
10, 1, 0, -1, -23
Put -100, 2, 1, -47, -4 in increasing order.
-100, -47, -4, 1, 2
Sort 2, -24, -3, -4, 111.
-24, -4, -3, 2, 111
Sort -11, 5, -12, -2, 2, 142 in descending order.
142, 5, 2, -2, -11, -12
Sort -140, 5, -2, 4, 2.
-140, -2, 2, 4, 5
Put 2, 13, 7, -15, -2 in ascending order.
-15, -2, 2, 7, 13
Sort 440819, 3, 5, 0.3 in descending order.
440819, 5, 3, 0.3
Sort 0.2, -23.16, 13/18, 0.5 in descending order.
13/18, 0.5, 0.2, -23.16
Put -26, 45, -4, 2 in decreasing order.
45, 2, -4, -26
Sort -2305, 1, -38.
-2305, -38, 1
Put 220, -6, 19 in descending order.
220, 19, -6
Sort 2/17, -4, -5372, -5 in ascending order.
-5372, -5, -4, 2/17
Sort -0.3, -41/6, 0 in decreasing order.
0, -0.3, -41/6
Sort 5, 214, 1, 7, 4 in increasing order.
1, 4, 5, 7, 214
Sort -3, -125, 27, -32 in decreasing order.
27, -3, -32, -125
Put -1, 2, -540 in decreasing order.
2, -1, -540
Sort 5, -1, 4.
-1, 4, 5
Sort 1, -4, -203, 5 in ascending order.
-203, -4, 1, 5
Put -49, 0.1, 27/310 in descending order.
0.1, 27/310, -49
Sort 4, -21, -4, 5, 23.
-21, -4, 4, 5, 23
Put -1/12, 13, -5, 808, -3/2 in descending order.
808, 13, -1/12, -3/2, -5
Sort -2, 14, 3, 1334 in decreasing order.
1334, 14, 3, -2
Put 1813, 5, -8 in ascending order.
-8, 5, 1813
Sort 4, 45, 4874 in decreasing order.
4874, 45, 4
Sort 16, -468, 0.
-468, 0, 16
Put 47, 29/11, 0.5, -2, -10, 1/5 in descending order.
47, 29/11, 0.5, 1/5, -2, -10
Put 23848, -1, -2 in increasing order.
-2, -1, 23848
Put 5, -1.4, -374.2, 1 in descending order.
5, 1, -1.4, -374.2
Sort 0.4, -1/3, 813.
-1/3, 0.4, 813
Sort 14, -3, -36, 3, 5, 2 in decreasing order.
14, 5, 3, 2, -3, -36
Put -25, -1, 1, -2029 in decreasing order.
1, -1, -25, -2029
Put 2/3, -371, 11, -0.1 in descending order.
11, 2/3, -0.1, -371
Put 105, -1, -1659 in ascending order.
-1659, -1, 105
Sort -3, -38, 19, 4/3.
-38, -3, 4/3, 19
Sort -4, 14, 1, 0, 5, -64 in increasing order.
-64, -4, 0, 1, 5, 14
Put -245, -2, 1553 in descending order.
1553, -2, -245
Put -94, 0, -108, 1 in increasing order.
-108, -94, 0, 1
Sort 2, -1, -4, -60, -272 in increasing order.
-272, -60, -4, -1, 2
Put -0.1, -11/3163, 0.2, 3, 2/9 in ascending order.
-0.1, -11/3163, 0.2, 2/9, 3
Sort 5, -4645, 16, -0.3 in increasing order.
-4645, -0.3, 5, 16
Sort 3, 0, -10, 6013.
-10, 0, 3, 6013
Put -2, -14, 157, 6 in increasing order.
-14, -2, 6, 157
Put -0.64, 48, 0.4 in ascending order.
-0.64, 0.4, 48
Sort 547, -0.5, -0.016 in increasing order.
-0.5, -0.016, 547
Sort 2/11, 117, 4, -4, 3 in ascending order.
-4, 2/11, 3, 4, 117
Sort -13.5, 0.5, 0.3, 7, -3.
-13.5, -3, 0.3, 0.5, 7
Sort -4, -1/1074, 3/5, 0.5 in decreasing order.
3/5, 0.5, -1/1074, -4
Put -38/9, 1/2, 16 in ascending order.
-38/9, 1/2, 16
Put -3, 1222, -5, 4, 5, 29 in decreasing order.
1222, 29, 5, 4, -3, -5
Put -20, 2, -6, -45, -5 in ascending order.
-45, -20, -6, -5, 2
Sort 5, -917, -4, -3, -1 in decreasing order.
5, -1, -3, -4, -917
Sort -11.9, -0.1, -2/1725.
-11.9, -0.1, -2/1725
Put 0.17, 0.020997, -5 in increasing order.
-5, 0.020997, 0.17
Sort -3, 5395, -5, 5 in ascending order.
-5, -3, 5, 5395
Sort 9, 56, 2, 16, 5 in descending order.
56, 16, 9, 5, 2
Sort -1, 170, 114 in decreasing order.
170, 114, -1
Put 1, 105, -401 in decreasing order.
105, 1, -401
Put 2/3, 0, -2, -65, 6 in increasing order.
-65, -2, 0, 2/3, 6
Sort 2/3, -18, 1/7, -0.17 in increasing order.
-18, -0.17, 1/7, 2/3
Sort -4/15, 0.03518, -4 in descending order.
0.03518, -4/15, -4
Put 440, 0, 300 in increasing order.
0, 300, 440
Sort 52, -1132, -5/3 in ascending order.
-1132, -5/3, 52
Put -270, 4, -3, 5, -4 in descending order.
5, 4, -3, -4, -270
Put -16.6, 2/3, -0.053, -0.1, -1 in descending order.
2/3, -0.053, -0.1, -1, -16.6
Sort 1, 4, 2, -5, 298 in descending order.
298, 4, 2, 1, -5
Sort -0.5, 963, -4, 27, 5 in decreasing order.
963, 27, 5, -0.5, -4
Put 158, -77, 1 in increasing order.
-77, 1, 158
Sort -0.2, 0.04, -3/7, -144, -3, -1 in descending order.
0.04, -0.2, -3/7, -1, -3, -144
Sort 92, -0.13, 22, -0.5 in decreasing order.
92, 22, -0.13, -0.5
Sort 1, -5, -2, 11, -45, 6.
-45, -5, -2, 1, 6, 11
Put 4, -1/4, 23191, -5, -0.5 in descending order.
23191, 4, -1/4, -0.5, -5
Sort 128, -1, 163.
-1, 128, 163
Sort 4, -4, 2, 143.
-4, 2, 4, 143
Put -4, -3, -2, -1, -16, 5 in decreasing order.
5, -1, -2, -3, -4, -16
Sort 571, -242, -1, 4 in descending order.
571, 4, -1, -242
Sort -5/12, -3, -8.1787 in ascending order.
-8.1787, -3, -5/12
Put -273, -43, 5, 4 in descending order.
5, 4, -43, -273
Sort 3030, -0.2, 0.3 in descending order.
3030, 0.3, -0.2
Sort 3, -4, 5, 3.807 in descending order.
5, 3.807, 3, -4
Put -33916, -5, 2 in ascending order.
-33916, -5, 2
Put -30, -5, 21, -27, -4 in descending order.
21, -4, -5, -27, -30
Sort -1/13, 0.5, -2, -4/773 in decreasing order.
0.5, -4/773, -1/13, -2
Sort -1, -1724, 758 in ascending order.
-1724, -1, 758
Sort -0.128, -1, 1/4, -0.05, -1/2 in decreasing order.
1/4, -0.05, -0.128, -1/2, -1
Put -0.14, -2415, -3, 0.03 in increasing order.
-2415, -3, -0.14, 0.03
Put -5, 3/96385, -0.4 in ascending order.
-5, -0.4, 3/96385
Put -137, 0, 126 in descending order.
126, 0, -137
Sort -4, 2, 10, -2, 4/3 in decreasing order.
10, 2, 4/3, -2, -4
Sort -7, 0, -47, -4 in decreasing order.
0, -4, -7, -47
Put -2.7, -0.3994, 2 in ascending order.
-2.7, -0.3994, 2
Sort -5, 3, 5, 24, 3055 in decreasing order.
3055, 24, 5, 3, -5
Sort 5, 10, 11, 235 in descending order.
235, 11, 10, 5
Put 3, -1606, 0, 4, 18 in ascending order.
-1606, 0, 3, 4, 18
Sort -1, 3, -330637, -3 in decreasing order.
3, -1, -3, -330637
Sort 4, -57, 21, 0, 1.
-57, 0, 1, 4, 21
Sort -4, 4, -1, 2356, 1, -3.
-4, -3, -1, 1, 4, 2356
Sort -3, 4022, 0.9 in descending order.
4022, 0.9, -3
Sort -1/916, -1/5, 33 in descending order.
33, -1/916, -1/5
Sort 2, -3, -26518, -2.
-26518, -3, -2, 2
Sort 0.033, -0.3, -2, -14/9, 0.
-2, -14/9, -0.3, 0, 0.033
Put -76, -132, 4, 2, 3, 5 in decreasing order.
5, 4, 3, 2, -76, -132
Sort 4, -52048, 2 in decreasing order.
4, 2, -52048
Sort 4.8, 2, 5, 69 in descending order.
69, 5, 4.8, 2
Put 3/8, -1/4, 2/11, -3, 3/2, 5351 in ascending order.
-3, -1/4, 2/11, 3/8, 3/2, 5351
Sort -1, 7, 4, -3, 13, 8 in increasing order.
-3, -1, 4, 7, 8, 13
Sort -4, -50, 3633 in decreasing order.
3633, -4, -50
Put 0.1, 10, -3, -17830 in increasing order.
-17830, -3, 0.1, 10
Put -8/3, -1.54, -1/12, -7, -1 in descending order.
-1/12, -1, -1.54, -8/3, -7
Sort -2, -1, 2169, 1, -5 in decreasing order.
2169, 1, -1, -2, -5
Put 38, 3, -137, 0, -23 in descending order.
38, 3, 0, -23, -137
Put 82, 37, 2 in descending order.
82, 37, 2
Sort -12, 1390, 7 in descending order.
1390, 7, -12
Sort -46, -5, -28, -3 in descending order.
-3, -5, -28, -46
Put 4243175, 0, -5 in descending order.
4243175, 0, -5
Put -4, -5, 52, 31 in increasing order.
-5, -4, 31, 52
Put 11, 4, -3, 124, -4 in increasing order.
-4, -3, 4, 11, 124
Sort 6, -2, -7, 3, 1, -34 in descending order | {
"pile_set_name": "DM Mathematics"
} |
37/18. What is the nearest to z in q, -5, y?
y
Let n = 1 - 1. Let d be -2*(-35)/20 - 4. Let r be (-4)/5*(-2)/(-4). What is the nearest to r in n, 1/9, d?
d
Let t = 25 - 20. Let f = -1.33 + 5.33. Which is the nearest to -0.3? (a) t (b) f (c) 0.4
c
Let r = 36/11 - 224/55. What is the nearest to 0.1 in -1/2, -4, r, -3/7?
-3/7
Let z = 576 + -578. Let r = 347 - 4509/13. Which is the nearest to -1/2? (a) z (b) -1/8 (c) r
b
Let i = -466 - -459. What is the nearest to 1 in -0.3, 0.1, i, -0.4?
0.1
Suppose -v - 2 = -0. Let h be v*2/6 + (-14)/(-6). Which is the closest to -2? (a) 2 (b) h (c) 0.5
c
Let o be 13/4 + 3/(-12). Let t be 2/o + (-1 - 1). Let h = -539 + 539. What is the nearest to h in -4, 0, t?
0
Let t = 177 - 176.9. Which is the closest to -2? (a) t (b) -1 (c) 2 (d) 5
b
Let d = -5.182 + 0.182. What is the closest to -1 in -0.02, -2/11, d?
-2/11
Suppose -40*v + 7 = -42*v + 5*u, 5*v + 5*u = 0. Which is the nearest to -1/4? (a) v (b) 3/5 (c) 2
a
Let u = -0.0252 - 0.0748. Let k = -97 + 93.1. Let x = k + 4. What is the closest to x in 0, 4, u?
0
Let t = -329/26 + 25/2. What is the closest to -2/7 in t, -19, 1/5, 5?
t
Let x = 13 - 10. Let p = -11 + 10.9. Let g = 17 + -13. Which is the closest to p? (a) g (b) x (c) 0
c
Let k = 3.72 + -3.7. Let o = -2.6 + 2.98. Let d = k + o. Which is the closest to 0? (a) 0.6 (b) d (c) -0.1
c
Let s = 80 - 41. Let f = -36 + s. What is the closest to 0 in -0.2, 0, f?
0
Let i = -22 + 23.4. Let j = i - 1.7. What is the closest to -2 in 0.2, j, -3?
-3
Let i = 1.1 - 1.37. Let q = -0.47 - i. What is the closest to q in 3, 1, -1/7?
-1/7
Let y = 1045.8 - 1046. What is the closest to -4 in 0.1, y, 5, 7?
y
Let k = -4/125 + -867/250. Let a = -2.2 - -4.2. What is the nearest to a in k, 2, 2/3?
2
Let i(g) = -7*g + 35. Let k be i(5). Which is the closest to 1? (a) 0.1 (b) k (c) 1/3
c
Let c = -638.4 + 638. What is the nearest to -0.1 in 4/7, c, -0.1, 0?
-0.1
Let p = -575 + 575.1. Which is the closest to p? (a) 3 (b) -2/3 (c) 2 (d) 3/2
b
Let i = -92 - -91. Which is the closest to 0? (a) -0.4 (b) i (c) 3
a
Let s = 583 - 578. What is the nearest to -2/3 in 9, 0.2, 0.1, s?
0.1
Let k(l) = l - 10. Let q be k(14). Suppose 0 = -3*g + q*g + 3. Let h = 0.12 + -0.02. Which is the closest to h? (a) 0.5 (b) g (c) 0.4
c
Let v = -52.6405 + 0.0405. Let k = -53 - v. Which is the closest to -1? (a) 0.3 (b) k (c) -1/4
b
Suppose -5*d + 13 = 2*j, -3*d + 2*d + 5*j + 8 = 0. Let w = -11/2 + 6. Suppose 3*b + 73 = 70. What is the nearest to b in w, 2, d?
w
Suppose v = -f - 76 + 81, 3*f = -4*v + 18. Let j be (-2)/(4/2) - -6. Suppose j*w = 3*w. Which is the closest to 0? (a) w (b) v (c) -3/7
a
Let j = -56 - -36. Let c be (-1 - -2)/(j/30). Let x = 1.1 - 1. What is the closest to 0 in x, -2/3, c?
x
Let n = -2.665 - 0.035. Let f = -2.4 - n. Let w = 0.6 - f. Which is the nearest to 0? (a) 5 (b) 3/8 (c) w
c
Let h = -0.1 + 0.1. Let t = 4.9747 + 0.0253. What is the nearest to h in 4/9, t, 0.5?
4/9
Let f be (-7 + 11)/(-12)*12/(-34). Which is the closest to -4? (a) 5 (b) f (c) 3/4
b
Let p = -194 + 391/2. What is the closest to 2 in 78, p, 4/7?
p
Suppose 0 = -19*v + 5 - 43. Suppose 5*q - 15 = 5*t, -4*t - 3*q - q = 20. Let i = 6 + t. What is the nearest to -1 in -1, v, i?
-1
Let g = -3645/7 - -521. What is the closest to 2/11 in 1, g, 0.4?
g
Let h = 0.31 + 2.69. Let p = -2.7 + h. What is the nearest to 1 in p, -0.1, -0.3?
p
Let j be -10*((-3)/2 - 0). Let n be (-3)/(-3) + j/(-13). Suppose 5*d = -0*d - 4*b + 15, 3*b = 15. What is the nearest to d in 3, -0.3, n?
-0.3
Let k(i) = -i**2 + 12*i - 5. Let m be k(11). Let z be (-6)/3 + m + 65/(-10). Which is the nearest to -0.1? (a) -0.5 (b) z (c) -1
a
Let g = 0.0225 + -0.0225. What is the closest to 0.1 in 2/5, -1.9, g?
g
Let w = 1/210 - 6/35. What is the nearest to 8 in w, -2, -5?
w
Let i = -7264 - -51046/7. Let q = -28 + i. What is the closest to q in -3, -4/7, 0?
0
Let v = 4.37 + -0.37. Let y = v - 2. Which is the nearest to -2? (a) y (b) 0 (c) -1/10
c
Let r be (1/(-12)*-2)/((-4)/(-6)). Which is the nearest to r? (a) 0 (b) 9 (c) -1
a
Let m(t) = -2*t**3 + 2*t**2 + 11*t - 20. Let d be m(2). Which is the closest to d? (a) -1 (b) -8 (c) -0.2
b
Let q = -0.0733 - -0.0733. Suppose 3*k = -2*k + 335. Let i = k - 137/2. Which is the nearest to 0? (a) i (b) q (c) -0.4
b
Let a = 33 - 30.5. What is the nearest to 1 in a, -4, 5?
a
Let h = -12.9 - -13. Let j = -0.583 + 5.583. What is the closest to -6 in j, -0.4, h?
-0.4
Let q = 19 - 37. Let x = 5 - -12. Let i = x + q. What is the nearest to i in -5, -0.3, 2/5?
-0.3
Let w = -1 + -1. Let t be 30/(-105)*14/30. Which is the closest to -2? (a) w (b) t (c) -1/2
a
Let v = 0 - 3. Let s = 2 - v. Suppose -7*a + 8 - 1 = 0. What is the nearest to a in s, -0.4, -1?
-0.4
Let v = -61.4203 - -0.0203. Let l = v - -61. What is the nearest to 2/7 in -2, -3, l?
l
Let h be -1 + -3 - 354/(-93). Let x = 104/217 + h. Which is the nearest to -1? (a) -0.3 (b) x (c) 4
a
Let t be (6/4)/(180/24). Let l = t + 2/15. Which is the closest to l? (a) 1/9 (b) -0.3 (c) -2/15
a
Let d = -4.031 + 0.031. Which is the nearest to d? (a) 4 (b) -0.1 (c) 2/9
b
Let f = 0.7 - 0.3. Suppose -5*x + 2*x = 87. Let z = -30 - x. Which is the nearest to z? (a) 4 (b) 0 (c) f
b
Let k(x) = x**3 - 20*x**2 - 45*x + 18. Let v be k(22). What is the nearest to -0.3 in 0.05, v, -3/2, 5?
0.05
Let k = 7/30 + -247/930. What is the closest to -1/4 in 0.5, k, -0.4?
-0.4
Let w = -673 + 4039/6. What is the nearest to 14 in w, 1/5, -2?
1/5
Let m = 1.021 - 0.021. Which is the closest to 1/9? (a) 7 (b) -4 (c) m
c
Let r = -47 + 48. Let s be 2 + -1 + 2 - r. Which is the nearest to 0? (a) -1/7 (b) -4 (c) s
a
Let v = -1215 + 37668/31. What is the nearest to -1/4 in 4, v, -3?
v
Let l = 0.052 + -38.052. Let w = l - -38.1. Let p = 75 - 677/9. What is the closest to p in -0.2, w, 3?
-0.2
Let v = -288 + 346. Which is the closest to 2/5? (a) -0.1 (b) 5 (c) v (d) -4
a
Suppose -124*x + 117*x + 7 = 0. Let h = -0.3 - 0.7. Let n = -0.3 + -1.7. Which is the closest to x? (a) n (b) 5 (c) h
c
Let j(n) = n - 4. Let v be j(5). Let k = v - 23. Let u = k - -23. Which is the nearest to -0.1? (a) u (b) 4 (c) -3
a
Let p = 10.4 + 0.6. Let g = 12 - p. What is the closest to -2/5 in -1, 0, g?
0
Let p = -44482/19 - -2341. Which is the closest to 2/7? (a) 5 (b) p (c) -5 (d) -3/4
b
Let t = -27.023 + 0.023. Let l = 0.71 + 25.79. Let s = t + l. Which is the nearest to 2/7? (a) s (b) -2/5 (c) -0.1
c
Let o = -81.67 - -82. Let h = -4.67 - o. Let y = -4 - -9. What is the closest to 0.1 in y, -4, h?
-4
Let g = 1.565 - 1.265. Let x be 1/(-4) + 9/20. What is the closest to 2 in g, x, -2?
g
Let c be (-6)/(-1)*(-5 - 4). Let d = -271/5 - c. Let m = -3.4 - -1.4. What is the closest to -1 in m, d, 3?
d
Suppose -1 - 7 = -4*r - 4*w, 3*r - w - 10 = 0. Let d = -9 + r. Let y be (d/(-4))/((-9)/(-1)). Which is the closest to -2? (a) 0 (b) -2 (c) y
b
Let z be (102/84 - 1)/(3/(-6)). Let o = 1 + 0. Let x be o + -1 - (-2)/19. Which is the closest to x? (a) -5 (b) z (c) 2
b
Let v = -355 + 352. Which is the closest to 0? (a) -7 (b) 0.4 (c) 2/19 (d) v
c
Let l = 1.004 - 0.004. Let s be 10/2 + 0/1. Suppose -1 = 4*d + s*p - 5, 4 = p. What is the closest to l in -1, 5, d?
-1
Let s = -71.3 + 71.25. Let c = -6 - -5. What is the nearest to s in 1, c, 0.4?
0.4
Let a = 0.1 - 5.1. Let f = 5.26 + a. Let u = 0.04 + f. What is the nearest to 2 in 2/13, u, 3?
3
Suppose 2*f - 3*d = -5*d - 6, 19 = -5*f - d. What is the nearest to -0.1 in -16, 5/2, -0.1, f?
-0.1
Let n = 13.89 - 14.89. Let b(d) = -d**2 + 2*d + 2. Let y be b(3). What is the closest to y in -1/7, 2, n?
n
Let f = -1.6 - -0.2. Let c = -4.6 + f. Let l = 8 + c. What is the nearest to -2 in l, 0.4, -2?
-2
Let w = 0.2 + 0.3. Let d = 148.4 - 152.4. Which is the nearest to 2? (a) w (b) 2 (c) d
b
Let n = 0.1 - 1.1. Let f = -107 + 116. Let h = -6 + f. Which is the closest to n? (a) -0.2 (b) h (c) 2
a
Let x be (-5 + 6)*10/25. What is the closest to -1 in -0.5, 10, x?
-0.5
Let i = 18.01 - -0.99. Which is the nearest to -2/3? (a) i (b) -0.3 (c) 0.3
b
Let j = -437 + 440. Let r = -0.6 + -0.4. Let q = -97/42 - -13/6. What is the closest to 0 in q, r, j?
q
Let i be (-2)/ | {
"pile_set_name": "DM Mathematics"
} |
te the remainder when 1540/(-66)*(-108)/21 is divided by 43.
34
Let d(q) = -q**3 + 2*q**2 + 3*q + 1. Let a = 11 + 7. Let r be -2*3/a*9. What is the remainder when d(r) is divided by 20?
17
Suppose -26*p + 34*p - 656 = 0. Calculate the remainder when p is divided by 19.
6
Let s(i) be the second derivative of -i**3/2 + 17*i**2/2 + 16*i. Calculate the remainder when 2 is divided by s(5).
0
Let y(q) = q**3 + 10*q**2 + q - 2. Let a be y(-10). Let r = a - -12. Suppose -6 = -r*d - d. What is the remainder when d is divided by 4?
2
Calculate the remainder when 179 is divided by (-23 - (2 - -4))*-3 + 5.
87
Let b be (2 + -1)/((-9)/(-18)). Let s be b + (1 - 2/(-1)). Let x(n) = 4*n - 6. Calculate the remainder when x(s) is divided by 4.
2
Suppose -2*i = -3*m - 3*i + 21, -3*m + i = -15. Let x(a) = a**2 - 10*a + 2. What is the remainder when x(12) is divided by m?
2
Let b(v) = -v**2 + 2*v - 3. Let p be b(3). Calculate the remainder when 114 is divided by p/(-10) + (-112)/(-5).
22
Suppose -4*y + 32 + 22 = -2*u, 0 = -y - 5*u + 30. What is the remainder when 97 is divided by y?
7
Let g(i) = -i**3 + 6*i**2 + 7*i. Let w be g(7). Suppose w = k - 3*t - 23, -8 = 2*t + 2. What is the remainder when 23 is divided by k?
7
Let t = 80 + -81. Calculate the remainder when (-4)/56*-926 - t/(-7) is divided by 24.
18
Let h be (1 - (-2)/(-1))*-7. Let r = h - 2. Let v(a) = a**3 - 2*a**2 - 2*a + 1. Calculate the remainder when r is divided by v(3).
1
Let b(x) = -x**3 + 3*x**2 - x - 20. Calculate the remainder when b(-4) is divided by 65.
31
Let b(l) = l**2 + 1. Let t(j) = 14*j**2 + j. Let s(q) = -5*b(q) + t(q). What is the remainder when s(3) is divided by ((-81)/6)/(2/(-4))?
25
Let t(w) = 2*w**2 + 17*w - 6. Let b be t(-9). Let v = b + 30. What is the remainder when v is divided by 6?
3
Suppose -181 = 4*a - 1297. Let l = a - 160. Let s = 25 + 5. What is the remainder when l is divided by s?
29
Let f(w) = w + 211. What is the remainder when f(-17) is divided by 49?
47
Calculate the remainder when 83 is divided by (-2)/(-2) + 26/2.
13
Suppose -5*a - 23 = -l - 0*l, -5*a = -4*l + 77. Suppose 0 = -f + 63 - l. Calculate the remainder when f is divided by -3 + 24 - (1 - 3).
22
Let p = -3 - -5. Suppose -3*u + 4*a = -16, 0*a = p*u + 2*a + 8. Let v(w) = w + 16. Calculate the remainder when 47 is divided by v(u).
15
What is the remainder when 1076 is divided by -3 - (-42)/12*4?
9
Let d(l) = -4*l - 17. Let n be d(-5). Suppose n*h - 69 - 516 = 0. Calculate the remainder when h is divided by 33.
30
Let q = 115 + -68. Suppose -5*c = -c + 8. What is the remainder when q is divided by 15/c*(-80)/25?
23
Suppose -3*j = -5*k - 102, j + k - 34 = -0*j. Calculate the remainder when 405 is divided by j.
31
Suppose -30*s + 7321 = -4319. What is the remainder when s is divided by 3?
1
Let k(c) = c**2. Let v(g) = 5*g**2 - 4*g + 2. Let u(b) = -2*k(b) + v(b). Calculate the remainder when u(3) is divided by 3.
2
Suppose 31*y - 2569 = 4158. Calculate the remainder when y is divided by 11.
8
Let k = 8 + -11. Let b(g) = g**2 + 3. What is the remainder when 45 is divided by b(k)?
9
Suppose -11*c - 6*c = -2278. What is the remainder when c is divided by 34?
32
Suppose 0 = -2*l + 3*l + 13. Let b(d) = -d**2 - 12*d + 18. Calculate the remainder when 19 is divided by b(l).
4
Suppose -k + 94 = 31. Calculate the remainder when 107 is divided by (84/k)/((-2)/(-57)).
31
Calculate the remainder when 10863/34*(-4)/(-6) is divided by 5.
3
Suppose 7*b = 4*b + 51. Suppose 3*r + 3*v - 7 = 257, -2*r = -5*v - 197. Suppose -r = -3*p + 8. Calculate the remainder when p is divided by b.
16
Let u = 53 - 50. Calculate the remainder when 3*(-196)/8*(-2)/u is divided by 25.
24
Let b(w) be the first derivative of -w**4/4 + 5*w**3/3 - 3*w**2/2 + 3*w + 4. Calculate the remainder when 19 is divided by b(4).
5
Let v = -22 + 23. Suppose 3*z - 5*l - 38 = 0, -z = -5*l + l - v. Suppose -2*i + i = -11. Calculate the remainder when z is divided by i.
10
Let i(b) = -8*b - 42. Let c be i(-9). What is the remainder when 38 is divided by (-2)/(-3) + 0 + c/9?
2
Let u be 1*-4 - (12 + -6). Let p(v) = -v - 8. Let h be p(u). Suppose -h*d = -3*d + 31. Calculate the remainder when 90 is divided by d.
28
Let d be (-1 - -1)*(-6)/(-18). Suppose 4*g - 5*g + 68 = d. Suppose 3*w + 2*n = 5 + 70, -5*n = 5*w - 130. Calculate the remainder when g is divided by w.
22
Let w = -17 + 23. Suppose -w*m + 11 = -31. Calculate the remainder when 25 is divided by m.
4
Suppose 3*j = 5*j - 3*x - 64, -3*x = 0. What is the remainder when 215 is divided by j?
23
Suppose -20*y + 15*y = 300. Let d = y - -83. Suppose 4 - 32 = -4*a. Calculate the remainder when d is divided by a.
2
Suppose 29*h - 4985 - 2323 = 0. Calculate the remainder when h is divided by 5.
2
Let j be -16*(0 - 2)/(-4). Let t = 19 - j. Suppose -3*s - 3*w + t = 0, 6*s - 3*w = 4*s + 38. Calculate the remainder when 37 is divided by s.
11
Suppose 4*y + 3151 = 5*s, 4*s - 527 = 5*y + 1992. Suppose 0 = -10*w + s + 329. What is the remainder when w is divided by 25?
21
Let c(n) = n**3 - 2*n**2 + 3*n - 13. Let j(t) = -3*t**3 + 6*t**2 - 10*t + 39. Let a(h) = -11*c(h) - 4*j(h). Calculate the remainder when a(5) is divided by 25.
22
Let v(g) = -g**2 + 21*g - 71. Suppose -2*j = 2*j - 112. Let n = j + -18. Calculate the remainder when v(11) is divided by n.
9
What is the remainder when 152 is divided by -2 - (-306)/14 - (-6)/42?
12
Suppose 11*w + 69 = 179. Let f(t) = 2*t + 7. What is the remainder when f(5) is divided by w?
7
Let s(a) = -a**3 - 12*a**2 - 11*a + 1. Let z be (-4)/((-4)/11)*-1. Let m be s(z). Suppose 8 + m = 3*j. What is the remainder when 4 is divided by j?
1
Let i = 10 + -5. Suppose -3*u = -3 - 12, i*a = 4*u + 75. Let o(s) = s**2 + 1. What is the remainder when a is divided by o(-3)?
9
Suppose 0*p - 3*p + c + 67 = 0, 2*c - 34 = -2*p. What is the remainder when 123 is divided by p?
18
Suppose -4*d = -2*x - 1586, -6*d + 10*d + 5*x = 1579. What is the remainder when d is divided by 21?
18
Let w = 385 + -360. Calculate the remainder when w is divided by ((-14)/(-3))/(4/6).
4
Let n(d) = 2*d**2 + 61*d - 15. Calculate the remainder when n(-32) is divided by 42.
39
Let t be 25/(-4) - (-1)/4. Suppose -13*c - 13 = -14*c. What is the remainder when (-18 + 1)/(2/t) is divided by c?
12
Let j(z) = -2*z**2 - 16*z - 5. Calculate the remainder when 73 is divided by j(-4).
19
Let i be -2*-3*(-1)/(-2). Calculate the remainder when 12 is divided by (i + 9/(-6))*24/9.
0
Let a be (3 + -2)/(4/20). Suppose 10 + 15 = -a*h. Let n = h - -15. Calculate the remainder when 28 is divided by n.
8
Let z(h) = -30*h - 1. Let c(j) = j**2 - j - 14. Let k be c(0). Let x = -16 - k. What is the remainder when z(x) is divided by 20?
19
Let g be (-24)/40 + 4/(-10). Let j be ((-12)/(-30))/(g/(-5)). Suppose -j*v + 193 - 39 = 0. What is the remainder when v is divided by 26?
25
Let q be 3 + (4 - -1*15). Suppose -4*z + 48 = l + 4*l, 5*z = 4*l - q. What is the remainder when 31 is divided by l?
7
Let h(y) = -y**2 + 16*y + 32. Let j = 1 + 16. Calculate the remainder when 59 is divided by h(j).
14
Let v(t) = 2*t + 10 - 7*t - 22. What is the remainder when 37 is divided by v(-5)?
11
Let m(g) = g**2 - 34. What is the remainder when 71 is divided by m(-7)?
11
Suppose 0*k = -6*k - 270. Let c = k - -52. Calculate the remainder when c is divided by 3.
1
Let c(m) = m**3 + 4*m**2 + 12. Let t be c(-4). Suppose 0 = -5*v - 3*h + 54, 3*v = -5*h + 10*h + t. Calculate the remainder when 44 is divided by v.
8
Suppose u = 4*a + 3*u + 178, -4*a = -5*u + 213. Let y = -20 - a. Suppose -2*i + 3*w = -2*w - 3, 3*w = 3*i - y. What is the remainder when 27 is divided by i?
13
Suppose -2*t + 109 = -87. What is the remainder when t is divided by ((-5)/4)/((-1)/20)?
23
Suppose t + 4*t = 25. Suppose 2*k = -4*r + 104, t*r - 4*k - 117 = -0*k. Calculate the remainder when 47 is divided by r.
22
Let a = 25 - 22. Calculate the remainder when a is divided by 3.
0
Suppose 0 = -5*b + 4*r - 65, 0 = -2*b + 2*r - 8 - 20. Let s = 16 + b. Suppose -47 = -2*c - 11. What is the remainder when c is divided by s?
4
Suppose -21*c = -0*c - 2457. What is the remainder when (-1*1)/(1/(-121)) is divided by (c + 6)*1/3?
39
Let g = 21 + -12. What is the remainder when 24 is divided by g/6 - (-161)/14?
11
Sup | {
"pile_set_name": "DM Mathematics"
} |
2) - 6) + -3 + 7.
16
(1 - (-1 - -5) - 0) + (4 - 2)
-1
10 - ((22 - 10) + 12)
-14
Calculate (-8 - -3) + (42 - 28).
9
What is (41 - -29) + -25 + -20?
25
Evaluate 6 - 8 - ((-15 - -7) + 1).
5
-10 + 15 - (-8 + (22 - 12))
3
Calculate (-22 - -26 - (-5 + 4 + -3)) + 6.
14
Evaluate -40 + (-18 - -16) + 21.
-21
What is -14 - (1 + 4 + (0 - 8))?
-11
Evaluate -11 + 3 - (3 + -6 - 7) - -3.
5
Calculate -1 + (-5 - (13 - 26)) + -4 + 1.
4
What is the value of 0 + -3 - 2 - (-15 + -1 + 8)?
3
-1 + 0 + 1 - (97 + (24 - 121))
0
(-3 - 10 - -5) + (4 - -15)
11
What is 2 - (-10 - (-2 - -1))?
11
Calculate -54 - ((-69 - -7) + 26).
-18
Calculate 7 + -6 - (4 - 13).
10
What is (-9 - ((-14 - -2) + 4)) + 13?
12
7 + (-4 - 2) + (3 - -3) + -7
0
15 - (49 - (16 - 2))
-20
Calculate -2 - -7 - (-35 + 32 + 2 + 15).
-9
13 + 10 + -12 + 6 + -39
-22
What is the value of (-24 - -12 - -11) + -23?
-24
What is -26 + 0 + (42 - 20)?
-4
Evaluate (-3 - 9) + 7 - (2 - 2 - 2).
-3
Evaluate (-206 - -216) + (4 + -2 - 13).
-1
Calculate (-12 - (-3 + -14)) + 1 + -3 + 0.
3
(3 - -4) + (-1 - 10 - -5)
1
Evaluate (-16 - -20) + 2 + (-4 - (-1 - 1)).
4
Calculate -11 + (-15 - (22 + -51)).
3
Evaluate -25 + (-2 - 4) + 13 + -3.
-21
What is the value of -3 - ((-1 - (-2 + 4)) + 8 - -3)?
-11
What is (61 - 40 - 20) + 13 + 2?
16
What is 12 + (7 - 11) - 0?
8
Calculate -9 - -17 - (-6 - -4) - (2 - -1).
7
Evaluate 2 + (0 - (-10 + 3) - -13) + -7.
15
7 + -1 + (1901 - 1931)
-24
Calculate 0 + -2 + 9 + (-3 - (6 - 11)).
9
What is the value of -29 + (0 + 0 - -15)?
-14
What is -9 + 2 + 8 + -9?
-8
What is the value of (37 - (-9 - -36)) + -12 + 1?
-1
What is 1 + 24 + (-99 - -84)?
10
Calculate (1 - (3 - 4)) + 6 + 15.
23
What is 4 + (-34 - -40) + -11 + -2?
-3
What is the value of (-8 - 10) + -8 + (11 + -5 - -6)?
-14
What is the value of -11 + -4 + 8 + 3?
-4
(-4 - (-5 + 16)) + (1 - (-1 - 4))
-9
Calculate -19 + (-4 - -21) + 6 - (30 - -1).
-27
Evaluate 2 - 6 - (-26 + 31 + -7).
-2
What is the value of 17 + -16 + 26 + -4 + -29?
-6
Calculate (0 - -8) + (-10 - -29 - (2 + 11)).
14
(-16 - (-4 - 6)) + 12 - 1
5
Evaluate 562 + -540 + (-1 - (11 - 0)).
10
What is (3 - 1) + (9 - 11)?
0
(1 - -2) + (12 - 26) + -12
-23
What is the value of 27 - (24 + 9 - 16)?
10
Evaluate 0 - -25 - (-50 - (-38 - 8)).
29
Calculate -610 + 608 + -20 + 1 + 0.
-21
What is the value of (2 - 11 - -2) + (312 - 297) - -5?
13
What is the value of -8 + 3 + -1 + -13 + 11 + -2?
-10
What is the value of 52 + -41 + -3 + 6?
14
(-12 - (0 + 6)) + 5
-13
Calculate (-320 - -310) + 0 + -1.
-11
-13 + 17 + (14 - 12)
6
Evaluate (-12 + -10 - -18) + -4.
-8
What is 42 + -107 + 51 + 41 + -1?
26
What is 76 + -69 - (-2 - (-2 - -16))?
23
-20 + (0 - 0 - -10) + (-6 - 0)
-16
What is the value of 9 - 2 - (-97 + 125 - (-2 - -5))?
-18
Calculate 11 - 1 - (-29 - -40).
-1
Calculate (-6 + 1 - -4) + -4 + (30 - 1).
24
Evaluate (71 - 67) + (3 + -5 - 3) + 19.
18
What is 11 + (-5 - 7 - (3 + -11 + 15))?
-8
What is (1 - 6) + -3 + 4 + -2 + -1?
-7
What is the value of 0 + -5 + -12 - -6?
-11
Evaluate 29 + -21 + (2 - 9) - (18 + 0).
-17
What is 14 + -25 + (38 - (5 + 3))?
19
Evaluate -2 + (-48 + 44 - (5 - 0)).
-11
What is (5 - (3 - (3 - 1) - -4)) + 12?
12
What is 12 - 18 - (-35 + 20)?
9
What is -11 - (23 - 38) - 25?
-21
Calculate -4 - (4 - (0 + -6 + 17) - 4).
7
What is 3 + -9 + 1 + (10 - (6 + 5))?
-6
Evaluate 10 + -1 - (-6 - (-5 + -24)).
-14
What is the value of -14 - (-25 - 7 - -1) - (-5 - -8)?
14
What is the value of -4 + 14 + -2 + -6?
2
What is (4 - 4 - 6) + -9 + 23 + -1?
7
What is the value of 570 - 569 - (-1 + 4)?
-2
Calculate 5 - (-7 - (-10 - 5)).
-3
What is the value of 23 + (1 - (-3 - -22))?
5
What is the value of 5 + -3 - ((2 - -14) + (-9 - -3))?
-8
Evaluate 2 + 24 + -115 + 68.
-21
Calculate 87 - 109 - (-2 + -32).
12
What is 1 + -12 + 3 + (-45 - -46)?
-7
-24 - ((2 - (-13 + 28)) + 11)
-22
What is 16 + 50 + -68 + 4 + (-2 - -1)?
1
What is -18 - (-27 + 8) - (5 - 0)?
-4
30 + -3 - (18 + 9)
0
3 + 1 + -4 + -7
-7
Calculate (-1 - 3) + -1 + (479 - 494).
-20
What is the value of 10 + -7 - -3 - (-3 - (1 + -3))?
7
Evaluate -6 + -22 + 25 + -15.
-18
Evaluate 55 + (23 + -80 - -21).
19
Calculate 7 + (0 - -3 - (-12 - -16)).
6
What is the value of -3 + 22 + (-17 - -17) - 39?
-20
Calculate -3 - (1 - 1 - (66 + -58)).
5
What is -21 + 14 + (7 - -8)?
8
Calculate (-4 + 17 - -10) + -13.
10
What is the value of (25 - (21 - 9)) + -12 + (-10 - -14)?
5
What is (-1 - 1) + 6 + -12 + -83 + 100?
9
Calculate 22 + -12 - (4 + -3 + 30).
-21
What is the value of -6 + (2 + 0 + -10 - -17) + -19?
-16
Calculate (14 - -3) + (-6 - -2).
13
Evaluate (1 - 1) + 4 + (7 - (21 - 8)).
-2
Calculate 62 + -56 - (0 + 10) - (-1 - -4).
-7
What is the value of 21 + -31 + (1 - (-2 - -2 - 0))?
-9
What is 7 + -4 + 0 + -4 + 3 + 10?
12
What is -64 - -42 - (5 - 36)?
9
What is the value of (-6 - (-16 - -16)) + (12 - -1) - -2?
9
What is the value of 1 + -1 + -21 + 12?
-9
Calculate 1 - 3 - (-3 - (-13 - (-16 - -11))).
-7
Evaluate 3 + (-7 - (-38 - -20)).
14
Evaluate -14 - ((-2 - 11) + 11).
-12
What is -1 - 8 - -5 - -15 - (-1 - -4)?
8
What is 6 - (8 + 8 + -20)?
10
Calculate -7 + (22 - 53) + 15.
-23
Evaluate (20 + -17 - 2) + 1 + 10.
12
-8 + 2 - (231 + -227 + -3 + 1)
-8
What is the value of 9 + -2 - (-1 + -2 - (75 - 73))?
12
19 + -13 - -7 - 26
-13
What is -23 - (-16 - (11 + -5 + -16))?
-17
Calculate -5 + -4 + 18 + 3 + -8 + 7.
11
What is -79 - -88 - ((2 - -12 - 3) + -3)?
1
Evaluate 1 - (18 - (-1 - (3 + (-9 - -4)))).
-16
What is 23 + 18 + -31 + -6?
4
What is 5 + 1 - (222 + -233)?
17
Evaluate -18 - (14 - 27) - (-1 - -12).
-16
What is the value of -1092 + 1083 + (7 - (1 - (0 + 3)))?
0
Calculate 4 - -1 - (-28 + 25).
8
What is -117 + 109 - (-21 + (2 - 0))?
11
Evaluate (4 - 32 - -23) + (-3 - 14).
-22
-8 + 27 + -24 + 6 + -2 - 9
-10
-15 - -10 - -3 - (-2 + 3)
-3
20 + 1 - 17 - (-31 - -1)
34
What is 74 + -63 + -1 + -2 + -2 + -33?
-27
Evaluate -3 - (5 - 2 - (3 + -3 - -11)).
5
(12 - 1) + 36 + -20 + -21
6
What is the value of ((12 - 9) + -8 - -5) + (5 - -2)?
7
Calculate -6 - -21 - (-3 - -6).
12
What is the value of 6 + (-7 - ((4 + -10 - 3) + 8))?
0
-30 + (6 - -25) + 19
20
Calculate -11 + (7 - 19) + 24.
1
Evaluate -6 + 0 - (-1720 + 1690).
24
Calculate -2 + 6 - (13 + -3 + -15).
9
Calculate -2 + 7 + (2 - 14) + -1.
-8
Calculate (-9 + (6 - 2) - -1) + -2.
-6
Evaluate 1 + (4 - (2 - 2) - 3) + -5.
-3
What is 1 + 34 - (73 - (68 - 8))?
22
-14 + -3 + (-11 - (-9 + 0 + 0))
-19
Evaluate 0 + (-7 + 37 - 3) - -4.
31
What is (-1 - -17 - (-41 - -46)) + 14?
25
Calculate 27 + 1 + 46 + -54 - (19 + -13).
14
Evaluate -483 - -491 - (16 - (1 + 0)).
-7
What is the value of (24 - -6) + (-3 - -2) + -11?
18
(-13 - -1) + 3 - (-23 + 14)
0
Evaluate (41 - 68) + 34 - (0 - -9).
-2
Evaluate -2768 + 2761 + (-1 - (1 - -6)).
-15
20 + -40 + 8 + 21
9
Evaluate -39 - 0 - (-174 + 150).
-15
-19 - 16 - (-92 - -82)
-25
(-12 + 9 - (2 - -12)) + 8
-9
Evaluate -2 - ((-4 - 3) + (30 - 20)).
-5
Evaluate -4 + (-5 - 2) + 1.
-10
What is 31 + (-23 + 7 - -3)?
18
Calculate 5 - (3 - 8 - -5).
5
Calculate -20 + 3 - (12 + -27).
-2
What is 1 + (-1 + -1 + 3 - (15 - 6))?
-7
-10 - ((-36 - -21) + 4)
1
-5 + (10 - 15) + (3 - 6)
-13
Calculate -2 + -8 + 17 + 2 + -9.
0
(26 - -4 - 28 - (-1 - -4)) + 17
16
Calculate -10 - (16 + -4 + -14 + 22).
-30
What is the value of 21 - (-18 - (2 - 31))?
10
What is 14 + (-3 - -4) - (40 + -33)?
8
Evaluate 10 - 5 - (-4 + 9 - (0 - -7)).
7
What is 5 + -10 - (7 - (4 + (-8 - -9)))?
-7
-289 + 279 - (6 + -2 + 0)
-14
Calculate -5 + -9 + 8 + (-18 - (8 - 16)).
-16
Evaluate (25 - -1 - -4) + (-17 - -6 - -13).
32
Evaluate (1 - 7) + (1 - -5 - 4) + -4.
-8
Evaluate -6 - (-23 - -31 - 24).
10
-19 + -4 + 38 + -31
-16
What is the value of (10 - (-7 + 19)) + 5?
3
Calculate 13 + -2 + (32 - 45).
-2
Evaluate -5 + (-13 - -4 - -6).
-8
Evaluate -10 + (7 - (15 + -3 - -4)).
-19
What is (1 - 7 - 3) + (6 - -20)?
17
What is 15 + (6 + -2 - (-19 + (39 - 12)))?
11
What is 0 + -1 + (-13 - -10 - (-16 - 0))?
12
What is the value of -16 - (-4 - 6 - (-7 - -4 - 4))?
-13
Calculate (-16 - -12) + 34 + -58.
-28
What is the value of (56 + -47 + (-6 - 0) - -2) + 6?
11
What is -6 - ((2 - -3) + -3 + -4 + -13)?
9
(-6 - (2 - 28)) + 7 + -9
18
What is the value of (-6 + 3 - 5) + -4 + (2 - 1)?
-11
Evaluate -33 + -2 + -4 + -3 - -13.
-29
What is the value of 71 + 7 + -60 - (3 + 0 + -1)?
16
Calculate -47 | {
"pile_set_name": "DM Mathematics"
} |
de 140 by 77827.
140/77827
Calculate -81845386 divided by -5846099.
14
-11044866 divided by 238
-46407
809539944 divided by -1416
-571709
1031382 divided by 99
10418
What is -138790240 divided by -645536?
215
What is 150460 divided by -75230?
-2
Divide 5260710 by 1645.
3198
What is -1105933 divided by -38?
58207/2
What is 6114793 divided by -11?
-6114793/11
What is 9387952 divided by -56?
-167642
What is -208739375 divided by -333983?
625
-31846703 divided by 23891
-1333
Calculate 21134400 divided by 888.
23800
4 divided by 246802592
1/61700648
Divide 263059431 by 3.
87686477
What is -2 divided by -71459543?
2/71459543
12316 divided by -1492
-3079/373
Divide -19776533 by 4.
-19776533/4
-12384976 divided by -16
774061
841184 divided by 466
420592/233
-43616 divided by -26
21808/13
Calculate 60509835 divided by -81.
-747035
-2864736 divided by -477456
6
Divide 5 by -65537452.
-5/65537452
-12321 divided by 8566
-12321/8566
Divide 62215629 by -7.
-8887947
What is 5 divided by 60813933?
5/60813933
Divide 52090967 by -1.
-52090967
Calculate 0 divided by 27430647.
0
What is 13322024 divided by -56?
-1665253/7
Calculate 24771382 divided by 12385691.
2
Calculate -1189328 divided by -1813.
656
What is 145280924 divided by -134?
-1084186
Calculate -5 divided by 9231911.
-5/9231911
Calculate 13636420 divided by -7196.
-1895
-8 divided by -1084768
1/135596
Divide -1137990 by 227598.
-5
Calculate -20327201 divided by -6.
20327201/6
22590580 divided by 10
2259058
-15812652 divided by 15
-5270884/5
Calculate -5384960 divided by 38464.
-140
-5624764 divided by 5
-5624764/5
16890 divided by -531
-5630/177
-184 divided by 634258
-92/317129
-916639164 divided by -42686
21474
Divide -19 by -2890394.
1/152126
Divide -243446962 by 209.
-1164818
Divide 5913614 by -2.
-2956807
-15752640 divided by -2625440
6
-166 divided by -811594
83/405797
Calculate 13234270 divided by -2646854.
-5
Calculate -32164020 divided by 5628.
-5715
Divide -59270864 by -1.
59270864
Divide -1 by -407939.
1/407939
What is -186995952 divided by -62331984?
3
What is 13800910 divided by 2760182?
5
Calculate -240825475 divided by 19.
-12675025
What is 57 divided by 22948?
57/22948
Calculate 232088630 divided by -7486730.
-31
Calculate 114642752 divided by 8188768.
14
What is 4 divided by -198425244?
-1/49606311
Calculate -45742 divided by 4232.
-22871/2116
125784 divided by 84
10482/7
Calculate 56955069 divided by 22.
56955069/22
What is -4 divided by -25358010?
2/12679005
Divide 24126345 by -1608423.
-15
Calculate 44904832 divided by 368.
122024
Divide -572240 by 811.
-572240/811
Calculate 69138175 divided by -13827635.
-5
257902 divided by -979
-257902/979
Divide -22220649 by -4.
22220649/4
What is 12454 divided by 2649?
12454/2649
What is 96 divided by 158948?
24/39737
2 divided by 5011375
2/5011375
What is -3749526 divided by -4?
1874763/2
Divide -6541632 by 817704.
-8
Calculate 2085564 divided by 52.
40107
What is -7298 divided by -5090?
3649/2545
Divide 33792 by 7728.
704/161
Calculate -68 divided by -168573.
68/168573
What is -10187408 divided by -308?
33076
-4209518 divided by -2
2104759
9 divided by 2487712
9/2487712
0 divided by 10881898
0
2 divided by -3761988
-1/1880994
Divide 129410658 by 6.
21568443
13581696 divided by 15024
904
What is 3804930 divided by 3?
1268310
Divide -164652864 by 12.
-13721072
Calculate 3110766 divided by 36.
518461/6
Divide 4 by 63631622.
2/31815811
1006100192 divided by -1123
-895904
-2 divided by 35581157
-2/35581157
What is -6434720 divided by -262?
24560
Calculate 22793458 divided by 19106.
1193
Divide -151802923 by -3.
151802923/3
Calculate -37241555 divided by -2.
37241555/2
Calculate 111 divided by -1513806.
-37/504602
Calculate -47195264 divided by -43378.
1088
What is 1603837440 divided by 14752?
108720
Calculate 1305758390 divided by -5.
-261151678
Divide -74395881 by 10627983.
-7
Divide 787 by -2846.
-787/2846
What is -20144282 divided by -1?
20144282
Calculate 14321 divided by -70.
-14321/70
Divide 202069101 by 13.
15543777
444 divided by 605481
148/201827
-2729160 divided by -570
4788
-19744831 divided by -13
19744831/13
Calculate 419471301 divided by 393.
1067357
5 divided by -589920
-1/117984
-4755 divided by -104
4755/104
What is 174968720 divided by 34993744?
5
28078184 divided by 2
14039092
What is 105609355 divided by 5?
21121871
Divide 7 by 76225.
7/76225
Divide 2120967 by 31.
2120967/31
Divide -180401108 by 45100277.
-4
What is 586807224 divided by 68?
8629518
329 divided by 41264
329/41264
-28588844 divided by 10306
-2774
Divide 31 by -2725.
-31/2725
What is 56316208 divided by -944?
-59657
Divide -20631 by 133.
-20631/133
Divide -13174 by -3085.
13174/3085
64290394 divided by -9184342
-7
What is 25836216 divided by -5303?
-4872
What is -4 divided by -4589826?
2/2294913
Calculate 140 divided by 85385.
28/17077
What is -2930 divided by -15151?
2930/15151
Divide -1818 by 10029.
-606/3343
What is 109766815 divided by -5?
-21953363
Divide -31901391 by 2.
-31901391/2
803972666 divided by -4
-401986333/2
Divide -36815227 by -3.
36815227/3
-62794090 divided by 137105
-458
536221338 divided by -6
-89370223
3893092 divided by 11942
326
Divide 6078 by 14985.
2026/4995
Divide -3456558 by -126.
27433
Divide 78 by 49284.
13/8214
Calculate -227 divided by 47687.
-227/47687
-252753154 divided by -126376577
2
-5 divided by 299548
-5/299548
-43720854 divided by 2
-21860427
-8691 divided by 23823
-2897/7941
5331974 divided by 5331974
1
Calculate -543976 divided by 4.
-135994
Divide -156461382 by -9.
17384598
Calculate 5 divided by 6883737.
5/6883737
What is -229113430 divided by -13?
17624110
Calculate 1 divided by -550648.
-1/550648
Divide 24698205 by 45.
548849
Calculate 49680945 divided by -122669.
-405
Calculate 6253 divided by 12650.
6253/12650
Divide 41054637 by 13684879.
3
Calculate -127102080 divided by 5880.
-21616
Calculate -128130560 divided by 3203264.
-40
What is -351586413 divided by 39065157?
-9
Calculate -6339571 divided by 6339571.
-1
-261331 divided by -198
261331/198
Divide -338 by 53749.
-338/53749
Calculate -623058932 divided by 4.
-155764733
-21 divided by -2367942
7/789314
-117531872 divided by -1159
101408
Calculate -87101 divided by -184.
3787/8
What is -4209 divided by -5140?
4209/5140
What is -85393461 divided by -9?
28464487/3
Calculate 0 divided by -15212980.
0
-261985 divided by -343
261985/343
-119594884 divided by -636143
188
-130409 divided by 75
-130409/75
Divide -3731 by 1075.
-3731/1075
-40970016 divided by -284514
144
What is 1433535880 divided by 286707176?
5
-2029627 divided by 6
-2029627/6
10 divided by 56721701
10/56721701
-412707305 divided by 1985
-207913
Calculate -15 divided by 84619154.
-15/84619154
Calculate 151579872 divided by 24.
6315828
Calculate -169584 divided by -2926.
84792/1463
Divide 8368409 by -7.
-1195487
What is -14717 divided by 3727?
-14717/3727
What is -56 divided by 128623?
-56/128623
41741007 divided by -5963001
-7
-390624044 divided by -10379
37636
Divide -2071 by -80474.
2071/80474
-7924290 divided by -295
26862
Calculate -230700273 divided by 3.
-76900091
Divide 1671 by -102.
-557/34
Divide 131749770 by -26349954.
-5
58124820 divided by 9687470
6
What is -4854558 divided by 6?
-809093
Divide -3 by -42741530.
3/42741530
43 divided by -569531
-43/569531
Calculate -10637064 divided by 22584.
-471
What is 58 divided by 48357?
58/48357
743128 divided by -1
-743128
What is -231225624 divided by -11529?
20056
Calculate 811542441 divided by 1119.
725239
Divide 718941912 by -5273.
-136344
879 divided by 1419
293/473
What is 51043734 divided by -810218?
-63
What is -2 divided by -3720145?
2/3720145
Calculate 20464 divided by -612.
-5116/153
15295947 divided by 24
5098649/8
Calculate 283 divided by -35850.
-283/35850
What is 127097376 divided by -18452?
-6888
What is -10300500 divided by -147150?
70
22910246 divided by 5
22910246/5
-23135504 divided by 272
-85057
-7446580 divided by 54
-3723290/27
Divide -1030052 by 5479.
-188
-64455 divided by -1
64455
16877300 divided by 61372
275
What is 5453617 divided by 5453617?
1
What is -358 divided by -1444553?
358/1444553
4483 divided by -527
-4483/527
Calculate -25362981 divided by 7.
-3623283
What is -149930 divided by -2726?
55
What is -4017938 div | {
"pile_set_name": "DM Mathematics"
} |
he third derivative of i**4/8 + i**3/3 + 2*i**2. Determine h(z).
-7
Let f(u) = 5*u**3 + 3*u**2 + 4*u + 8. Let y be f(-3). Let d = y + 110. Let x(n) = -n**3 - 3*n**2 + 1. Let s be x(d). Let m(p) = 7*p - 3. What is m(s)?
-24
Let i(c) = 12*c**3 + 4782 + 5*c**2 - 4*c + c - 4784 - 13*c**3. Give i(4).
2
Let y(c) = -c**2 + 477. Let i(k) = k**2 - 159. Let l(x) = -7*i(x) - 2*y(x). Let r(w) be the first derivative of l(w). What is r(-1)?
10
Let w(g) be the first derivative of g**5/30 - g**4/6 + 53*g**2 + 98. Let k(y) be the second derivative of w(y). What is k(3)?
6
Let n(r) = r**2. Let y(b) = -b**2 - 2*b. Let p(v) = -3*n(v) - 2*y(v). Calculate p(8).
-32
Let o be (2178/84 + 485/(-70) + 7)*-2. Let h(c) = -c**3 - 53*c**2 - 52*c - 2. Determine h(o).
-2
Let n(l) be the third derivative of -11*l**5/60 + l**4/24 + l**3/6 - 335*l**2. Let b = 8 - 9. Determine n(b).
-11
Let r(m) = -19*m**2 + 7*m. Let s(w) = 3*w**2. Let v(k) = -r(k) - 6*s(k). Let p be 41 - 44 - (-1)/((-2)/(-88)). Let z = p - 35. What is v(z)?
-6
Let b(y) be the first derivative of -2*y**3 - 3*y**2 - 19 + 9*y + 1/4*y**4. Determine b(7).
16
Let f(z) = z**2 - 32*z - 69. Suppose 2074 = -3*s + 64*s. What is f(s)?
-1
Let h(t) = t + 21. Let i be (-6018)/(-236)*(-6)/9. Calculate h(i).
4
Let z(x) = 9*x**2 + 3*x + 3. Let h be z(0). Let m(s) = 6*s**2 - 7*s**2 - 139*s**h + 95*s**3 + 2*s**2 - 1 + s + 77*s**3. What is m(1)?
34
Let j be 16/(-88) + (-70)/(-22). Suppose 5*d - 5*f - 15 = 0, d - 2*f - j = -0*f. Let y(s) = 0*s + 6650 - s - 3324 - 2*s - 3328. What is y(d)?
-11
Let s(h) = 6*h**3 + 12*h**2 - 2*h - 1. Let g(w) = -366*w + 14637. Let j be g(40). What is s(j)?
-49
Let k(y) = 7*y**3 + 4*y**2 + 25*y - 2. Let q(b) = b**2 + 13*b. Let v(s) = k(s) - 2*q(s). Give v(2).
60
Let b(x) = -4*x**2 - 268 + 5*x**2 + 2*x + 269 + 5*x**3. Let y(d) = 4*d**3 + 2*d**2 + 2*d. Let c(a) = -3*b(a) + 4*y(a). What is c(-3)?
9
Let m(a) = 24*a + 119. Let o be m(-5). Let i(q) be the third derivative of -q**6/24 + q**3/6 - 24*q**2. What is i(o)?
6
Suppose -111*z + 113*z = 4*x + 30, -4*z + 6*x + 56 = 0. Let d(u) = -5*u + 39. Give d(z).
-16
Let k(w) = -w + 8. Let t = -42 - -63. Suppose -5*o + t = -3*c - c, o = 3*c + 13. Let x be 0 - -3*c/(-3). What is k(x)?
4
Suppose -5*g = 3*z + 65, 189*z - 186*z - 26 = 2*g. Let q(x) = -x - 20. What is q(g)?
-7
Let r(k) = 3 + 0*k**3 + 12*k - 26*k**2 + k**3 - 27*k**2 + 36*k**2. Determine r(16).
-61
Let y(t) = 2*t**2 - 55*t + 34. Let v be y(27). Let d = 11 - v. Let h(f) = 3 + 3*f**2 - 6*f - 2*f**2 + 1. Determine h(d).
-4
Let w(r) = -2*r + 11. Let l = -7077 - -7084. What is w(l)?
-3
Let n(z) = 18*z**2 + 5 + 4 - 4 - 4. Suppose -3*l + w = -21 + 15, 5*l - 4*w - 17 = 0. Determine n(l).
19
Let j(w) = w**3 - 10*w**2 - 10*w - 9. Let l be j(11). Let z(h) = 59 - l*h**3 - 3*h**2 - 2*h + 3*h**3 - 64. Let i be 24/(-60) - 44/(-10). Determine z(i).
3
Let i(a) = -a**2 + 10*a + 4. Let m(v) = -v**3 + 21*v**2 + v - 21. Let q be m(21). Suppose q = -4*f + 3*n + 24, -52 = -4*f - n - 3*n. Calculate i(f).
13
Let l be (8/(-10))/(1/60). Suppose 0 = 8*f - 10*f - x - 93, 5*x = 25. Let a = l - f. Let y(n) = -n + 1. What is y(a)?
0
Let x(l) be the second derivative of -l**4/12 - 3*l**2/2 - 31*l. Let z = 1831 + -1831. Calculate x(z).
-3
Let u(x) = -49 - 83697*x - 83690*x + 167389*x. Calculate u(24).
-1
Let h(v) be the second derivative of v**5/20 + 2*v**4/3 - 11*v**3/6 - 13*v**2/2 + 1208*v. Calculate h(-9).
5
Suppose 3*w - 216 = -39. Let l = w + -52. Let h be (-6)/(-1) + -6 + 0 + l. Let k(i) = i**3 - 7*i**2 + 2*i - 8. Determine k(h).
6
Let j(p) be the second derivative of -p**4/12 - p**3 - 3*p**2/2 + 50*p + 5. Determine j(-6).
-3
Suppose -5*t + 4*p = -p, 4*p - 8 = 2*t. Let o be t*((-12)/16)/(-3). Suppose -3*a - o = -16. Let n(y) = -y - 6. Give n(a).
-11
Let r = -586 + 582. Let a = 0 - r. Let o(i) = 2*i**2 - 3*i - 2. Calculate o(a).
18
Let u(t) be the third derivative of -t**6/120 + 2*t**5/15 + 11*t**4/24 - t**3 + 2*t**2 - 17*t + 21. Determine u(10).
-96
Let b be (3 + -1 - 2)/(6/(5 - -1)). Let r(y) = 4*y**2 - 17. Calculate r(b).
-17
Let r(p) = -2*p**2 - 5*p - 38. Let g(i) = -3*i**2 - 9*i - 79. Let x(d) = -4*g(d) + 7*r(d). Let m(c) be the first derivative of x(c). Calculate m(1).
-3
Let r = 103 - 54. Let s = -57 + r. Let t(f) = -2*f - 20. Let a be t(s). Let o(c) = -c + 5. Give o(a).
9
Let y(z) = -z + 1. Let b(r) = 29*r + 5. Let m be (-2 - 3/(-1)) + 16 + -18. Let f(h) = m*b(h) + 4*y(h). Give f(-1).
32
Let d(i) = 44 + 60*i + 67*i + 60*i - 188*i - 12. Calculate d(4).
28
Let h(v) = -v**2 - 16*v + 41. Let n be h(-22). Let t = n - -85. Let o(a) = 6*a + a**2 - 2 + 1 - 2. Determine o(t).
-3
Let m be (-4 - 147/6)/(11/198). Let a = m - -508. Let b(s) = s. Let i(u) = -3*u - 1. Let g(j) = -4*b(j) - 2*i(j). Calculate g(a).
-8
Suppose 4*o + 3*a - a - 28 = 0, 4*a = -8. Suppose -13*g = -12*g + o. Let k(b) = b**3 + 8*b**2 - b + 3. Determine k(g).
11
Let y(z) be the first derivative of z**3/3 - 9*z**2 - 2*z + 1884. Determine y(19).
17
Let p(n) be the second derivative of n**5/20 + 7*n**4/12 - 2*n**3/3 - 13*n**2/2 + 1253*n + 1. Determine p(-7).
15
Let g = -159 + 179. Let b(p) = -g - p + 2*p - p**3 - 5 - 2*p + p**2. Give b(0).
-25
Suppose 0 = 4*p - 2*l - 2*l - 40, 10 = 2*p + 3*l. Suppose 0*q - p*q = -16. Let h(t) = 42 + 7*t**2 - 43 - 4*t**q + 0*t**2. Calculate h(1).
2
Let z(k) be the third derivative of k**6/120 + k**5/10 + k**4/6 - 2*k**3/3 + 496*k**2. Suppose -2*p + 6 = 0, 3*a + a = 4*p - 36. Calculate z(a).
-28
Let g(h) = -6*h - 1. Let a = 54 + -48. Suppose 4*j - a*j = 260. Let w be (-52)/j*(-3)/(6/(-10)). What is g(w)?
-13
Let d(z) = 1532 - 36*z - 459 - 738 - 660. What is d(-9)?
-1
Let d(k) = k**2 - 7*k + 17. Let j be d(6). Suppose -17 = -j*p + 38. Let x(v) = v**3 - 6*v**2 + 6*v + 1. What is x(p)?
6
Let d(p) = 3*p + 14. Let g be d(0). Let v(a) be the first derivative of g*a - 15*a - 4 - 4 + a**2. Give v(5).
9
Let z(i) be the third derivative of -i**6/120 + i**5/10 + i**3/2 + 16*i**2. Let c be z(6). Let s be (-1)/(-2)*(3 + c). Let p(l) = -7*l - 1. Give p(s).
-22
Let n be -3 - -2*(-28)/(-8). Let v be n/(-2) + (-7 - -10). Let g(q) be the second derivative of -3*q**5/10 + q**3/6 - 32*q. What is g(v)?
-5
Suppose -19*w + 18*w + 1 = 0. Let y(t) = 6*t - 3. Let m be y(w). Let b(r) = -16 - 7*r - r**2 - r**m + 13*r**2 - 3*r. What is b(11)?
-5
Suppose 2573*c = 2574*c - 3. Let t(x) = 3*x**2 - 3*x - 2. Let l be t(-2). Let n(k) = 18 + c*k - l - 4*k + 5. Give n(-5).
12
Let y(t) = -3*t**2. Let o be 6252/(-22) + 44/242. Let f = o + 282. Determine y(f).
-12
Let g(s) be the third derivative of -s**6/120 - s**5/6 + 13*s**4/24 - 5*s**3/3 + s**2 - 2357. Calculate g(-11).
-32
Let w(t) = -2*t**3 - t**2 + 2*t + 3. Let r(j) = 5*j**3 + 10*j**2 - 11*j + 11. Let s(g) = -r(g) - 2*w(g). Determine s(-9).
1
Let u = -4050 - -24301/6. Let k(b) be the third derivative of 0 - 18*b**2 + 0*b + 5/24*b**4 + u*b**3. Calculate k(1).
6
Let a(w) be the third derivative of -w**5/60 + w**4/6 + 32*w**3/3 + 2*w**2 + 2*w. Let g be a(10). Let b(i) = i. Calculate b(g).
4
Let o(u) = u**2 + u + 2. Let c be o(-2). Suppose 0*x + c*x - 12 = 0. Let z(d) be the third derivative of d**4/8 - 2*d**3/3 - 446*d**2. Determine z(x).
5
Let r(v) = -v**3 - 13*v**2 - 2*v - 17. Let a be r(-13). Let w(m) = -12*m**2 + 13*m**2 + 0*m**3 - 2*m**3 + m**3 + a*m**3. Calculate w(1).
9
Let r = -11877 + 11880. Let v(l) = -7*l - 17. Determine v(r).
-38
Suppose -5*w + 2*q + 28 = 3, 0 = -q - 5. Let s(v) = 3 + 7*v + 0*v**3 + 0*v**2 + 6*v**2 + v**w. Suppose -13*t = 6*t + 100 - 5. Determine s(t).
-7
Let u(t) = -4*t + 45. Let k be ((-16660)/(-7140))/(1 - (76/30 + -2)). Determine u(k).
25
Let y = -168 + 267. Let l = 83 - y. Let g be ((-2)/l)/1 - 29/232. Let k(j) = j**2 - 20. Calculate k(g).
-20
Let s(x) be the second derivative of x**6/120 - x**5/12 - x**4/4 - 5*x**3/6 - 15*x**2/2 - 44*x + 1. Let b(i) be the first derivative of s(i). What is b(6)?
-5
Let u(j) = -68*j**2 - 6*j - 1. Let v(h) = -39*h**2 - 4*h - 1. Let y(t) = 4*u(t) - 7*v(t). Give y(-3).
0
Let g(n) = 2*n**2 - 10*n + 21. Let p be g(-12). Let y(h) = p*h**2 + 2*h + 2*h + 432*h**2 - 863*h**2. What is y(3)?
-6
Let k(c) = 2*c + 1. Let q be k(-1). Let a = -2 + q. Let z(w) be the second derivative of w**5/20 + w**4/3 + w**3/6 - 2*w**2 + 18277*w. What is z(a)?
2
Let i = 2399 + -2396. L | {
"pile_set_name": "DM Mathematics"
} |
alculate 8/10*(-29)/((-25578)/(-105)).
-2/21
What is (62/(-124))/(2/20)?
-5
Evaluate (52/(-13))/(((-4)/3)/(102/(-9333))).
-2/61
What is 8*(-10)/8*5022/(-1620)?
31
13993/(-11994)*((-1)/(-98))/(3/(-6))
1/42
Evaluate (-5)/(-2)*6104/1090.
14
Calculate ((-10)/(-2))/((-368)/1840).
-25
2/(-6)*51/(-15)*15
17
(95/(-6))/(620/(-744))
19
What is ((-8)/(-4))/(5*230/(-50))?
-2/23
What is the value of (1/(-11))/(360/(-1320))?
1/3
Calculate (64/30)/(2268/(-17010)).
-16
Calculate (3006/16533)/((-1)/88).
-16
What is (2/(-24))/((-1957)/(-3914))?
-1/6
Calculate ((-84)/7182)/(1/(-9))*-1.
-2/19
What is ((-5)/4)/((-11)/396*3)?
15
What is 6/(3/((-27)/(-18)))?
3
(-15)/(-10)*(2/(-15))/((-2)/(-80))
-8
Evaluate (1340/804)/((-10)/24).
-4
Calculate ((-6)/(-42))/((-2)/(-70)).
5
Calculate (((-7)/((-63)/(-12)))/(-2))/((-36)/(-594)).
11
1/(10/14)*120/(-12)
-14
What is the value of (1*-34)/((-2)/(4/((-8)/2)))?
-17
What is the value of (2/4)/(1/(-18))?
-9
2/32*16*26/6
13/3
Evaluate ((-39)/78)/((22/(-33))/((-6)/(-3))).
3/2
What is the value of 182/(-91)*(3/8)/(27/(-12))?
1/3
7*((-80)/(-8))/(-350)*15
-3
(-10*6/168)/((-22)/((-528)/(-30)))
2/7
Evaluate ((-876)/1095)/((-2)/(-10)).
-4
What is the value of (-16*8/(-80))/(4/20)?
8
((-126)/(216/(-12)))/(3/(-3))
-7
What is the value of ((1*-3)/(120/(-40)))/(1/(-16))?
-16
Evaluate (552/46)/(-2*18/(-48)).
16
Calculate ((-33)/5)/(443/2215).
-33
((-5)/20)/(3/4)
-1/3
What is the value of 544/(-2992)*(6/(-4))/1?
3/11
What is (-6885)/(-340)*11/((-165)/20)?
-27
What is the value of ((-6)/(-1)*(-78)/39)/(-5)?
12/5
Calculate ((-28)/91)/(24/(-156)).
2
What is the value of (-9)/(-6)*8/10*(-80)/96?
-1
Calculate (4/(-27))/((-144)/(-108)).
-1/9
Calculate (-2)/((-4)/(-2))*(-1510)/(-2114).
-5/7
What is (-335)/2077*(-63)/(-84)*(-16)/(-30)?
-2/31
(5/10*-2*34/(-2))/(-1)
-17
Evaluate (-3*5/(-27))/(10/(-180)*-6).
5/3
What is the value of (11/(-22))/(20/(-680))?
17
What is the value of (32/4)/(((-10)/(-25))/(1/5))?
4
1*22/(-33)*15/4*6
-15
What is the value of ((-33)/(-6))/((-66)/132)?
-11
Evaluate 69/(-5)*(-3840)/(-288)*(-1)/8.
23
Evaluate (-8)/(-6)*(-3)/(-42)*-3.
-2/7
Evaluate ((-112)/(-196))/((-152)/(-28)).
2/19
Evaluate (-36)/1197*-57*(-2)/(-8).
3/7
Evaluate (4/236)/((-67)/(-3953)).
1
((1134/(-36))/(-21))/((-12)/10)
-5/4
Calculate ((-252)/(-700))/(6/10).
3/5
Evaluate ((-4)/(8/(-6)))/(15795/1404).
4/15
(-4)/2*(337/(-2022))/(3/(-45))
-5
What is ((9/(-14))/(17/(-68)))/((-18)/(-63))?
9
Calculate ((-8)/(-5))/(120/(-900)).
-12
(-790)/(-711)*12/4
10/3
Evaluate (128/(-960))/((-2)/9).
3/5
What is ((6/91)/(44/154))/(-3)?
-1/13
(52/39)/(8/(-12))
-2
What is (-13)/(507/3744*-6)?
16
What is the value of -1*36*36/486?
-8/3
276/68172*(-38)/(-2)
1/13
414/(-1265)*11*(-20)/88*-2
-18/11
Evaluate ((-1)/8)/((162/1215)/((-16)/50)).
3/10
What is the value of (206/(-14729))/((-32)/44)?
1/52
Evaluate (4/3)/(((-8)/(-18))/1).
3
Evaluate (((-16)/(-5))/(-4))/((-98)/35).
2/7
What is the value of (-2*(-4)/(-8))/((-2646)/252)?
2/21
(6/(-30))/((-3)/15)*-19
-19
Calculate (40/10)/((952/(-6))/14).
-6/17
Calculate 6*(-10)/44*(-21)/105.
3/11
Calculate (1/(6/108))/((-24)/(-16)).
12
((-243)/270)/((-60)/(-50))
-3/4
Evaluate ((-30)/(-10))/(13/((-104)/(-24))).
1
What is (3/(-14))/(684/2793*7)?
-1/8
What is the value of (3/(-12)*30)/(81/36)?
-10/3
Calculate ((-56)/4)/(105/21).
-14/5
Calculate 2*(-2)/((-8)/30)*-1.
-15
((-516)/5418)/(3/(-28))
8/9
Evaluate 35/20*(20/(-70))/(-2).
1/4
Evaluate (-1)/(10*(-14)/1820).
13
What is (-6)/4*48/468?
-2/13
(5/3)/((-9)/3726*-23)
30
What is the value of ((-230)/69)/((-15)/(-9))?
-2
What is the value of ((-14)/(-6))/((-17)/(-51))?
7
Evaluate ((-2786)/11940)/((-14)/(-8)).
-2/15
What is the value of (1/3)/((16/40)/((-156)/40))?
-13/4
Evaluate (5*10/(-50))/(5/60*3).
-4
What is ((-4)/(-9))/((-363)/16335)?
-20
What is 45/(-12)*-8*(-3)/((-18)/(-3))?
-15
What is 6*((-7)/112*-60)/((-15)/(-10))?
15
Evaluate 328/(-3444)*(-63)/(-6).
-1
Evaluate ((-1072)/670)/(156/(-45)).
6/13
Evaluate 1*-1*((-14)/(56/(-4)))/1.
-1
What is the value of 18/4*1148/(-67158)?
-1/13
What is the value of ((-4)/(-15))/((-48)/(-1728)*16)?
3/5
What is the value of (((-2)/(-24))/((-2)/6))/((-154)/(-528))?
-6/7
Calculate (57/(-5814))/(2/(-6)).
1/34
Calculate (-1828)/1371*((-3)/(-14))/((-8)/(-16)).
-4/7
What is (-1)/((57/209)/(-3)*(-1)/1)?
-11
What is -13*22/(-1573)*-33?
-6
What is the value of 12/(-44)*66/(-6)*286/33?
26
Calculate ((-52)/(-234))/((-8)/(-612)).
17
What is the value of (3/(-9))/(450/(-405))?
3/10
Evaluate 49/21*(-135)/15.
-21
((98/168*(-6)/21)/1)/(-2)
1/12
Calculate ((6/39)/(4/8))/2.
2/13
What is the value of (1/(-2))/((-125)/(-6250))?
-25
What is the value of 2/2*0/(((-96)/12)/(-8))?
0
What is the value of (-3615)/2169*42/(-2)?
35
What is the value of 505/101*-8*(-1)/(-10)?
-4
What is -16*(-15)/((-2100)/(-14))?
8/5
Evaluate (-90)/9*-1*(-8)/10.
-8
Calculate 3654/116*(-4)/(-18)*-1.
-7
Evaluate 2/(9*440/(-198)).
-1/10
(12/(-9))/((-36)/(-135))
-5
Evaluate (-36*(-15)/5940)/(1/253).
23
Calculate (42/252)/(22/231).
7/4
What is the value of ((539/792)/(-49))/((-30)/405)?
3/16
Calculate (2/14)/((3/15)/(56/20)).
2
Evaluate ((-6)/4)/((1/6)/(43/(-387))).
1
(-14)/(-4)*(-8536)/8148
-11/3
(-4)/7*(-980)/420
4/3
16/(-80)*(-50)/40
1/4
What is the value of (17/(-85))/((8/(-12))/(12/(-9)))?
-2/5
What is the value of -4*3*(9/(-18))/(63/(-6))?
-4/7
Calculate (89/1246)/((-7)/(-8))*7.
4/7
Evaluate 30/16*(-368)/(-414).
5/3
Evaluate (9/(-36))/(((-72)/(-99))/8).
-11/4
What is the value of (1*-1)/((21/66)/((-91)/(-26)))?
-11
What is (4/(-8))/((102/(-272))/(15/(-4)))?
-5
Evaluate (-6)/(-8)*3/((-1323)/84).
-1/7
What is the value of (((-51)/(-34))/((-14)/(-4)))/(4/(-7))?
-3/4
What is (5/((-255)/(-2)))/(5/(-90)*-3)?
4/17
What is ((64/20)/(-4))/(294/(-3675))?
10
What is 10/16*(-18)/15?
-3/4
Evaluate 4*((-81)/(-315))/(156/91).
3/5
What is 2/8*-15*1452/(-4235)?
9/7
What is the value of 1*(-2)/3*(-190722)/(-6692)?
-19
Calculate 552/(-897)*(-1)/(-4).
-2/13
((-2)/(-2))/(-21*6/(-54)*1)
3/7
What is the value of (-1*4/8)/((-17)/(1428/(-7)))?
-6
11960/57408*(-12)/(-5)
1/2
Evaluate ((-1970)/(-591))/((-1)/(-6)).
20
((-18)/(-15))/(1674/5115)
11/3
What is ((195/(-9))/13)/(19/342)?
-30
2*-5*(-31)/(-1085)
-2/7
Evaluate 5/(165/(-9))*(-2090)/228.
5/2
((-6)/64)/((-1)/5*(-630)/(-56))
1/24
What is the value of (-43)/(774/(-240))*-3*4/10?
-16
Calculate ((-20)/(-20))/(300/(-24)).
-2/25
210/10*(-18)/54
-7
((-15)/(-180))/(2/1*15/40)
1/9
What is (7*(-43)/7224)/(((-3)/(-2))/3)?
-1/12
What is the value of ((-2)/(18/((-18)/(-6))))/((-16)/(-432))?
-9
135/180*(-8)/2*-3
9
What is ((48/(-18))/(5/3))/((-8)/(-100))?
-20
What is the value of (5/(-4))/((-6)/(-24))?
-5
What is (-3)/((24/8)/(-9))?
9
20/65*5/(-50)*-13
2/5
What is the value of (-10*2/10)/(60/(-5))?
1/6
What is ((-39)/65)/(4*(-2)/(-80))?
-6
Evaluate 4/(-80)*(-3)/((-12)/4)*-8.
2/5
Calculate (-22)/(-308)*-21*(-14)/(-6).
-7/2
Evaluate (102/(697/(-41)))/((-558)/(-3)).
-1/31
What is ((-1)/(8/(-12)))/(161/46)?
3/7
Calculate 96/(-140)*(-115)/(-46).
-12/7
Evaluate 12/(-672)*-7*-4*24/(-22).
6/11
What is the value of ((-88)/(-198))/((-20)/(-45)*-3)?
-1/3
Evaluate ((6/(-6))/((-2)/(-12)))/(243/(-567)).
14
Calculate (-6)/(-75)*(-6)/60*425/34.
-1/10
Calculate 1/((45/(-55))/9).
-11
Evaluate 38/(-4)*(-57512)/(-19513).
-28
What is 2/16*(-936)/(-9)?
13
1*9*(-7)/(-1575)*(-10)/(-4)
1/10
Calculate (330/880)/(3/2).
1/4
(1/2)/(16/(-1216)*-19)
2
((99/(-189))/11)/((-24)/588)
7/6
((-126)/882)/((-3)/(-6))
-2/7
Evaluate (-43)/(1204/280)*(-4)/(-8).
-5
What is (375/10)/15*36/(-9)?
-10
Calculate (-2)/(1/((-18)/45)).
4/5
Calculate ((1*-2)/2)/(693/(-2079)).
3
4*2*(-246)/(-3608)
6/11
Calculate ((-7)/(105/(-2)))/(65/(2470/(-76))).
-1/15
What is the value of (52/(-117))/((-34)/9)?
2/17
What is the value of (-23)/(-46)*(-138)/(-12)?
23/4
((-2)/(-2))/7*(-14)/(182/(-39))
3/7
Calculate ((-190)/(-210))/(3/63).
19
What is 203/(-58)*(-3)/((-33)/22)?
-7
Evaluate (-24)/(-220)*50/(-30).
-2/11
Calculate ((-534)/(-178))/((99/30)/11).
10
Evaluate 15/(-6)*-33*(-46)/5313.
-5/7
Evaluate 1/(494/266*28/(-8)).
-2/13
What is (66/(-21))/(22/77)?
-11
Evaluate 45*(-18)/2916*(-4)/50.
1/45
What is the value of 5*3*(-1)/(-2)*(-68)/102?
-5
What is the value of (-2)/(-4)*((-2312)/17)/(-17)?
4
What is the value of (8/(-5))/(4/(-6))*(-5)/2?
-6
What is the valu | {
"pile_set_name": "DM Mathematics"
} |
4*(p - 2613)*(7*p - 2)
Let -j**2/6 - 12373*j/3 + 24748/3 = 0. What is j?
-24748, 2
Factor -4*j**2 - 126436*j + 758760.
-4*(j - 6)*(j + 31615)
Suppose -a**2/5 + 103*a - 7014/5 = 0. What is a?
14, 501
Determine z, given that 45*z**3 - 7022*z**2 + 274092*z - 12168 = 0.
2/45, 78
Find z, given that 53*z**5/2 + 793*z**4/2 + 1893*z**3 + 3638*z**2 + 2404*z - 96 = 0.
-8, -3, -2, 2/53
Factor 2*v**3/3 - 614*v**2/3 + 608*v.
2*v*(v - 304)*(v - 3)/3
Solve 3*l**3 - 10989*l**2 - 110115*l - 275475 = 0.
-5, 3673
Factor -4*m**2 - 2046080*m - 261652710400.
-4*(m + 255760)**2
Find k such that 5*k**4/2 + 60*k**3 - 855*k**2/2 + 665*k - 300 = 0.
-30, 1, 4
Let 2*h**4/5 + 298*h**3/5 + 4146*h**2/5 + 16982*h/5 + 13132/5 = 0. Calculate h.
-134, -7, -1
Let 3*v**5 + 210*v**4 + 4476*v**3 + 18882*v**2 - 207279*v + 183708 = 0. Calculate v.
-27, -21, 1, 4
Let -v**4/8 - 21*v**3/8 - 161*v**2/8 - 531*v/8 - 315/4 = 0. What is v?
-7, -6, -5, -3
Suppose 4*v**5/7 - 435*v**4/7 - 9049*v**3/7 - 28423*v**2/7 + 29013*v/7 + 1270 = 0. What is v?
-14, -5, -1/4, 1, 127
Solve 2*i**4/9 + 4058*i**3/9 + 16168*i**2/3 + 193760*i/9 + 258176/9 = 0.
-2017, -4
What is l in -760*l**3/13 - 9118*l**2/13 - 24296*l/13 + 64/13 = 0?
-8, -4, 1/380
Factor 3*h**4 + 783*h**3 - 75378*h**2 + 74592*h.
3*h*(h - 74)*(h - 1)*(h + 336)
Let -2*y**5/7 + 208*y**4/7 + 128*y**3 - 3424*y**2/7 - 3552*y/7 + 10368/7 = 0. What is y?
-6, -2, 2, 108
Let -c**2/9 + 209719*c/9 + 209720/9 = 0. Calculate c.
-1, 209720
Suppose 20*x**3 - 138092*x**2 + 82840*x + 55232 = 0. Calculate x.
-2/5, 1, 6904
Factor 858675*m**3 + 604500780*m**2 - 4519668*m + 8448.
3*(m + 704)*(535*m - 2)**2
Suppose 25*p**5 - 2140*p**4 + 30565*p**3 - 43930*p**2 + 4600*p + 10880 = 0. What is p?
-2/5, 1, 16, 68
What is p in -6*p**4 - 2764*p**3 - 28894*p**2 - 42336*p - 16200 = 0?
-450, -9, -1, -2/3
Find p, given that -27*p**2 - 98940*p - 271920100/3 = 0.
-16490/9
Determine j, given that 234*j**5 + 5043*j**4 + 28689*j**3 + 35739*j**2 + 12405*j + 546 = 0.
-13, -7, -1, -1/2, -2/39
Suppose 2*b**2 + 301620*b + 11371828050 = 0. What is b?
-75405
Determine x so that 3*x**3/5 - 196*x**2/5 + 1127*x/5 - 354/5 = 0.
1/3, 6, 59
Find s, given that 2*s**3 - 2064*s**2/5 - 41742*s/5 - 4860 = 0.
-18, -3/5, 225
Let y**4 + 1314*y**3 + 444589*y**2 + 8501580*y + 41860900 = 0. Calculate y.
-647, -10
Factor r**3/11 + 5054*r**2/11 - 10115*r/11 - 15168/11.
(r - 3)*(r + 1)*(r + 5056)/11
Solve -2*v**5 - 174*v**4 - 3588*v**3 - 9740*v**2 - 9402*v - 3078 = 0.
-57, -27, -1
Factor 3*w**3 - 1401*w**2 + 8313*w - 6915.
3*(w - 461)*(w - 5)*(w - 1)
Determine h, given that h**2/9 - 1349*h/9 + 9296/3 = 0.
21, 1328
Solve -3*q**2 + 157758*q - 2073965547 = 0.
26293
Factor 65*x**2/2 + 14135*x - 2175/2.
5*(x + 435)*(13*x - 1)/2
Factor -4*s**3 - 92*s**2 + 733380*s + 126668700.
-4*(s - 487)*(s + 255)**2
Find h, given that 3*h**2 - 21375*h + 64098 = 0.
3, 7122
Factor 2*t**2/7 - 132462*t/7 + 132460/7.
2*(t - 66230)*(t - 1)/7
Factor -120*t**3 - 2067*t**2 - 11670*t - 21675.
-3*(t + 5)**2*(40*t + 289)
Factor s**2/4 - 135*s/4 - 2573/2.
(s - 166)*(s + 31)/4
Suppose -26*l**4/5 + 164*l**3/5 + 2*l**2/5 - 172*l = 0. What is l?
-2, 0, 43/13, 5
Suppose -92929254649*n**2 - 1219372*n - 4 = 0. What is n?
-2/304843
Factor -4*y**2 - 64632*y - 129248.
-4*(y + 2)*(y + 16156)
Let -2*i**5/5 - 3328*i**4 - 6918908*i**3 + 13874440*i**2 + 48492294*i + 138511368/5 = 0. What is i?
-4161, -1, 4
Factor 24*r**3 - 1371*r**2 + 1515*r - 168.
3*(r - 56)*(r - 1)*(8*r - 1)
Factor -5*z**2 + 5394380*z.
-5*z*(z - 1078876)
Factor -2*i**3/11 + 8532*i**2/11 - 8530*i/11.
-2*i*(i - 4265)*(i - 1)/11
Solve -5*k**4 - 4120*k**3 + 33445*k**2 + 137280*k = 0 for k.
-832, -3, 0, 11
Solve -5*r**3 + 3590*r**2 + 18055*r + 14460 = 0.
-4, -1, 723
Suppose 2*u**2 - 3950*u - 11868 = 0. Calculate u.
-3, 1978
Find t, given that -4*t**5/5 - 36*t**4/5 + 172*t**3/5 + 276*t**2/5 - 792*t/5 - 864/5 = 0.
-12, -2, -1, 3
Let 20*v**3 - 25335*v**2 + 220105*v + 56610 = 0. Calculate v.
-1/4, 9, 1258
Suppose 2*d**3 - 239998*d**2 + 479990*d - 239994 = 0. Calculate d.
1, 119997
Find m, given that 576*m**4 + 29577*m**3/7 - 57726*m**2/7 + 24063*m/7 + 54/7 = 0.
-9, -1/448, 2/3, 1
Factor -j**4/4 + 179*j**3/4 - 7737*j**2/4 - 24479*j/4 - 8281/2.
-(j - 91)**2*(j + 1)*(j + 2)/4
Factor -2*g**2 + 725754*g + 725756.
-2*(g - 362878)*(g + 1)
Factor 3*m**3/2 - 342*m**2 + 30741*m/2 - 15030.
3*(m - 167)*(m - 60)*(m - 1)/2
Solve -5*x**4 - 35*x**3 + 620*x**2 - 1540*x + 960 = 0 for x.
-16, 1, 2, 6
Solve -5936*f**3 - 10068*f**2 - 4272*f - 140 = 0 for f.
-1, -35/53, -1/28
Find k such that -3*k**4 - 237*k**3 + 60357*k**2 + 121413*k + 60822 = 0.
-186, -1, 109
Factor -5*q**2 - 680695*q + 2042130.
-5*(q - 3)*(q + 136142)
Suppose -3*b**4/8 - 201*b**3/2 - 19767*b**2/2 - 422100*b - 6615000 = 0. Calculate b.
-84, -50
Determine m, given that -m**3 + 585*m**2 + 1173*m + 587 = 0.
-1, 587
Find r, given that 2*r**4/7 + 740*r**3/7 + 2206*r**2/7 + 1468*r/7 = 0.
-367, -2, -1, 0
Suppose z**2/12 + 5087*z/6 + 25877569/12 = 0. Calculate z.
-5087
Determine g so that 2*g**4/9 - 2458*g**3/3 - 7396*g**2/9 + 24592*g/3 - 59008/9 = 0.
-4, 1, 2, 3688
Suppose -4*c**3/3 + 320*c**2/3 + 2752*c/3 + 5632/3 = 0. Calculate c.
-4, 88
Let s**3 + 194919*s**2 + 9498451599*s + 9498256681 = 0. What is s?
-97459, -1
Suppose 5*f**5/6 + 35*f**4 - 10565*f**3/6 + 47255*f**2/3 + 1760*f - 47360/3 = 0. What is f?
-74, -1, 1, 16
Solve 10*n**3/7 - 552*n**2/7 + 1170*n/7 - 212/7 = 0 for n.
1/5, 2, 53
Factor 4*r**2 + 1237396*r.
4*r*(r + 309349)
Factor 4*y**3/7 + 23076*y**2/7 + 23048*y/7 - 19776.
4*(y - 2)*(y + 3)*(y + 5768)/7
Solve -2*p**2/3 + 284*p/3 - 3008 = 0.
48, 94
Factor p**4/3 + 5942*p**3/3 - 5944*p**2 + 17834*p/3 - 5945/3.
(p - 1)**3*(p + 5945)/3
Find y, given that -2*y**3/3 + 8320*y**2/3 - 2887038*y + 5762988 = 0.
2, 2079
Find v, given that 2*v**4/9 - 74*v**3/3 - 914*v**2/9 - 230*v/3 = 0.
-3, -1, 0, 115
Factor t**3/4 + 8281*t**2/4 + 2070*t.
t*(t + 1)*(t + 8280)/4
Factor 3*r**3/5 - 774*r**2/5 + 53568*r/5 - 92256.
3*(r - 124)**2*(r - 10)/5
Factor -3*x**3 + 35553*x**2 - 639225*x + 2875419.
-3*(x - 11833)*(x - 9)**2
Let -3*j**4/4 + 579*j**3 - 217629*j**2/2 - 1131945*j - 11466075/4 = 0. What is j?
-5, 391
Let -3*h**5 - 177*h**4 - 261*h**3 + 4785*h**2 + 9336*h - 13680 = 0. What is h?
-57, -4, 1, 5
Let f**5/2 + 113*f**4/2 + 1443*f**3/2 + 5715*f**2/2 + 3564*f = 0. What is f?
-99, -8, -3, 0
Determine k so that 3*k**5 - 30*k**4 + 51*k**3 + 156*k**2 - 180*k = 0.
-2, 0, 1, 5, 6
Find v such that 4*v**5 + 1880*v**4 + 7480*v**3 + 11200*v**2 + 7460*v + 1864 = 0.
-466, -1
Factor -483605*g**4 + 5310325*g**3 + 102585*g**2 + 495*g.
-5*g*(g - 11)*(311*g + 3)**2
Find y, given that -5*y**4 + 3855*y**3 + 39050*y**2 = 0.
-10, 0, 781
Let -2*o**3/17 - 12248*o**2/17 - 293088*o/17 - 1756800/17 = 0. Calculate o.
-6100, -12
Determine m, given that -4*m**3 + 100824*m**2 = 0.
0, 25206
Find h such that 5*h**3 + 9247*h**2 + 12930*h - 11088 = 0.
-1848, -2, 3/5
Solve 3*a**2 + 170736*a - 341484 = 0.
-56914, 2
Solve d**5/2 + 13*d**4 - 449*d**3 - 958*d**2 + 897*d/2 + 945 = 0.
-45, -2, -1, 1, 21
Solve a**5 - 215*a**4 + 5703*a**3 + 215*a**2 - 5704*a = 0 for a.
-1, 0, 1, 31, 184
Factor -2*m**3 + 282*m**2 - 276*m - 560.
-2*(m - 140)*(m - 2)*(m + 1)
Factor -4*x**2/7 + 89492*x/7 + 89496/7.
-4*(x - 22374)*(x + 1)/7
Factor 2*h**3 - 1366*h**2 + 69390*h - 917082.
2*(h - 629)*(h - 27)**2
Factor 5*i**3/3 + 25*i**2/3 - 20*i - 60.
5*(i - 3)*(i + 2)*(i + 6)/3
Factor 5*c**4 + 1110*c**3 - 3360*c**2 + 3370*c - 1125.
5*(c - 1)**3*(c + 225)
Solve -55*k**3/2 + 22713*k**2/2 + 11798*k + 414 = 0 for k.
-1, -2/55, 414
Suppose 2*z**2/5 - 978*z/5 - 8964/5 = 0. Calculate z.
-9, 498
Find s, given that 4*s**4 - 300*s**2 - 1000*s = 0.
-5, 0, 10
Factor 4*l**2 - 304080*l + 608144.
4*(l - 76018)*(l - 2)
Factor -2*k**3 + 10482*k**2 - 13408758*k - 857391722.
-2*(k - 2651)**2*(k + 61)
Factor -s**2/3 - 269768*s - 54581080368.
-(s + 404652)**2/3
Suppose -z**5 + 793*z**4 - 150346*z**3 - 2714862*z**2 - 14807205*z - 24111675 = 0. What is z?
-7, -3, 405
Factor -24*v**2/5 - 3002*v/5 - 50.
-2*(v + 125)*(12*v + 1)/5
Factor 3*s**2 + 16692*s - 116991.
3*(s - 7)*(s + 5571)
Suppose -25*a**5/2 - 3565*a**4/2 - 26760*a**3 - 77860*a**2 - 46360*a + 32760 = 0. What is a?
-126, -13, -2, 2/5
Let 86*d**4/11 - 78*d**3/11 - 180*d**2/11 - 16*d/11 = 0. Wh | {
"pile_set_name": "DM Mathematics"
} |
r(c) = -255*c**2 + c + 1. Let f(g) = 511*g**2 - 3*g - 1. Let u(w) = -6*f(w) - 13*r(w). Let l be u(2). Let q = l - 1559. Round q to the nearest one hundred.
-600
Let l = -2176 + 3686. Suppose -5*i - p + 3*p + l = 0, 0 = 5*i + p - 1510. Round i to the nearest 10.
300
Let l be 1640/(-15)*6*1250. Round l to the nearest 100000.
-800000
Let i = 643.859 - -0.141. Let r = -643.8532 + i. Round r to two dps.
0.15
Let r = 157.6252 - -0.4548. What is r rounded to zero decimal places?
158
Let b = 1062 - 1063.449. Let k = b - 0.228. What is k rounded to 1 decimal place?
-1.7
Let l = 8177004712.00000252 - 8177004950. Let b = l + 238. What is b rounded to six dps?
0.000003
Let h = -6220.989192 + 6221. Round h to 4 dps.
0.0108
Let r = 155.45 + -499. Round r to the nearest 10.
-340
Let s = 29771.8847 + -29772. What is s rounded to 1 dp?
-0.1
Let q = 141662.0000089389 - 141662. What is q rounded to 7 dps?
0.0000089
Let c = -599.82 + -26.88. Round c to the nearest 10.
-630
Let g = 109.309506 + -103.39433829. Let v = g + -0.01467371. Let f = v + -5.9. What is f rounded to 4 dps?
0.0005
Let v = -141465544 - -13395544. Round v to the nearest one million.
-128000000
Let f = -7284 - -7131.523. Let y = -154.5 - f. What is y rounded to 2 dps?
-2.02
Let r(i) = -2*i**2 - 20*i - 28. Let o be r(-8). Let b be 143298 + o + (6 - 4) + -4. What is b rounded to the nearest ten thousand?
140000
Suppose -312858 = 22*r - 24*r - 1451058. Round r to the nearest 1000000.
-1000000
Let w = -4.1 - -1. Let i = -5.2 - w. Let f = i - -2.100011. What is f rounded to five decimal places?
0.00001
Suppose 2*q - 412 = -4*i, 271 = 2*q - 4*i - 117. Let x be (-57 + 251957)/(0 - 2/q). What is x rounded to the nearest one million?
-25000000
Let k(x) = -1209796*x - 6928. Let o be k(7). What is o rounded to the nearest 1000000?
-8000000
Let p = -32446905016.99999337 - -32446905328. Let j = 590.8 - 279.8. Let m = p - j. What is m rounded to 7 dps?
0.0000066
Suppose g = 2*b - 3383403, -2*g = -5*b - 402513 + 8861019. What is b rounded to the nearest 100000?
1700000
Let a = 2113.18897157 + -2113.19. What is a rounded to 5 decimal places?
-0.00103
Let u = -0.037667 - -5335.137667. Round u to the nearest 100.
5300
Let i = 98 + -86. Let k be (-6)/i*-6*1 - -1. Suppose 2*z = -2*l + 9138, -2*z - k*l + 1251 = -7885. What is z rounded to the nearest one hundred?
4600
Let p = 4173 + -9511. What is p rounded to the nearest one hundred?
-5300
Let i = 64 + -56. Suppose 3 = 9*x - i*x. Suppose 1763 = 4*c + x*a, -3*c = -c + 5*a - 885. Round c to the nearest 100.
400
Let r = -0.05 - -105.05. Let f = r - 105.0275. What is f rounded to three dps?
-0.028
Let i = -1569.61 + 1576. Let z = 1299023.687200723 - 1299030.0772. Let f = z + i. Round f to seven dps.
0.0000007
Let w = -1.2923 - -1.2922970088. What is w rounded to 7 decimal places?
-0.000003
Let h(q) = -32385167*q + 668. Let g be h(4). What is g rounded to the nearest one million?
-130000000
Let s(b) = -749*b**3 + 8*b**2 + 17*b + 14. Let j be s(-14). Round j to the nearest ten thousand.
2060000
Let g be (-1)/((-4)/28) - (2095*10 + 5). What is g rounded to the nearest one hundred?
-20900
Let w = -4381474 - -4381019.1286. Let z = 455 + w. What is z rounded to 2 decimal places?
0.13
Let t(r) = -r**2 - 5*r + 41780172. Let b be t(0). Let m = 24680172 - b. Round m to the nearest 1000000.
-17000000
Let m = -450 + 938. Let q = -521.1 + m. What is q rounded to the nearest ten?
-30
Let b = -793177 - -4977377. Round b to the nearest 1000000.
4000000
Let n(p) be the first derivative of -157*p**3/3 + 5*p**2/2 + 22*p + 42. Let r be n(9). Round r to the nearest one thousand.
-13000
Let i = 0.511 + -1.929. Let z = 7.248 + i. What is z rounded to the nearest integer?
6
Let l = -1060 + 966. Let d = 306557.41930089 - 306651.4193. Let z = l - d. Round z to seven decimal places.
-0.0000009
Let y = 8875.9995961 - 8876. Round y to five dps.
-0.0004
Let o = 3288719758 - 3287099147.2121. Let z = 1620446.78789929 - o. Let u = z + 164. Round u to 6 decimal places.
-0.000001
Suppose -14*b = 68 - 96. Suppose 363991 = b*i - 3*m, -36*m = 3*i - 38*m - 545994. What is i rounded to the nearest ten thousand?
180000
Let w = 5.1 - 1103.1. Let k = w - -1097.996681. What is k rounded to four dps?
-0.0033
Let a = -21.5218136 - -0.0307136. What is a rounded to 1 dp?
-21.5
Suppose 4*h + 89*o - 84*o - 297099965 = 0, 0 = -2*h + 2*o + 148550014. Round h to the nearest one hundred thousand.
74300000
Let t = -5.23 - -5.2. Let f = -0.28 + t. Let y = f - -0.35. Round y to 2 dps.
0.04
Let b(t) = 3*t - 25. Let c be b(10). Suppose c*k - k = 80. Suppose -k = 3*x + 169. Round x to the nearest 10.
-60
Let g = 3.4 - 3.78. Let r = -20.82 + g. Let m = 21.1999847 + r. What is m rounded to six decimal places?
-0.000015
Suppose -m + 4 = 0, -2*b + 4*m - 16 = -0*m. Suppose b*u - 2*u = 2*n - 73799996, 2*u = -4. Round n to the nearest 1000000.
37000000
Suppose 16*n - 119 = -n. Let j(v) = 9129*v + 97. Let c be j(n). What is c rounded to the nearest ten thousand?
60000
Let t = -3 - -9. Suppose t*p = 2*p + 140400012. Let k be 1 + (-6 + 3 - 1) + p. Round k to the nearest one million.
35000000
Let v = 0.488 - -0.284. Let u = v + -0.739. What is u rounded to 2 decimal places?
0.03
Let p = -3853 - -3852.94665. What is p rounded to 2 dps?
-0.05
Let o = -37827.0086301 - -37827. Round o to 3 decimal places.
-0.009
Let w = -511 - -523. Suppose -4*i - 1930803 = -3*y, -w*i + 7*i - 2*y = 2413498. What is i rounded to the nearest 10000?
-480000
Suppose -2*h + 639 = -5*b + 3564, -4*b - 5*h = -2340. Let s = b - 487. Round s to the nearest integer.
98
Let a = 338 + -322. Let q(y) = -10901*y + 16. Let h be q(a). What is h rounded to the nearest ten thousand?
-170000
Suppose -2*r = -l + 11740, 9*l + r - 46996 = 5*l. Round l to the nearest 100.
11700
Let i = 242.43 - 241.0819. Let q = i + -0.1911. Let z = 54.143 + q. Round z to the nearest ten.
60
Suppose -259*k + 274*k + 86100 = 0. Round k to the nearest ten thousand.
-10000
Let o = 438.999966944 + -439. What is o rounded to seven dps?
-0.0000331
Let n = -8612.9999996947 + 8613. Round n to 7 dps.
0.0000003
Let c = 888.8632 - -0.1368. Let m = c - 888.9258. What is m rounded to three dps?
0.074
Suppose -39*x + 2209840 = -16*x. Suppose 0 = 22*o - 30*o - x. What is o rounded to the nearest one thousand?
-12000
Let j = 116 - 116.448. Let k = 20.652 - j. Let d = 12.2 - k. What is d rounded to the nearest integer?
-9
Let v = 2 - -13. Suppose -2*x - v = -19. Suppose -i - x*i = 1200. Round i to the nearest one thousand.
0
Let g = -0.0555 + 0.1512. Let v = -0.10019 + g. What is v rounded to three dps?
-0.004
Let n = 325 - 456. Let g = n + 26. Let s = -105.0086 - g. Round s to 3 decimal places.
-0.009
Let g = 3.722 + -1.841. Let v = g - 0.231. Round v to one dp.
1.7
Let b = -6.7 + 0.5. Let t = b + -2. Let f = 8.1999672 + t. What is f rounded to six dps?
-0.000033
Let l be 39428012/2 - (135/20 - (-6)/(-8)). What is l rounded to the nearest one million?
20000000
Let o(m) = -36*m**2 - 42*m + 79. Let k be o(27). Let l be (-2)/14 + 1*k/7. What is l rounded to the nearest 10000?
0
Let j = 114656.851342 - 114657. What is j rounded to three decimal places?
-0.149
Let a(o) = 3149*o**2 + 303*o - 10. Let c be a(3). What is c rounded to the nearest one hundred?
29200
Let z = -0.365 - -0.777. Let k = z - 1.64. Round k to 2 dps.
-1.23
Let a(c) = c**2 - 19*c + 37. Let r be a(17). Suppose 0 = -3*j - r*g + 2 - 221, -j = -g + 73. Round j to the nearest 100.
-100
Let x = 11818322.6999965 + -11818498.7. Let r = 176 + x. What is r rounded to five dps?
0
Let k be (-8)/(-6)*(-39)/(-26). Suppose h = 2*o - 228404, -2*o + 67250 = -k*h - 161158. Round o to the nearest ten thousand.
110000
Let n = 7.926 - 7.2467. Let x = 2108.68 + -2108. Let r = x - n. What is r rounded to four decimal places?
0.0007
Let z = 108 + -99.25. Let v = -66.65 - z. What is v rounded to the nearest 10?
-80
Let p be 7/105*-1059*-145. Round p to the nearest one thousand.
10000
Let a = 7504 - 7623.67. Let m = a - -2.67. Let f = m - -116.928. What is f rounded to 2 dps?
-0.07
Let f = -204.36 + 213. Let j = -13.79 - f. What is j rounded to the nearest 10?
-20
Let b = -129.1133933 + 142.113392. Let a = 18 + -5. Let z = b - a. What is z rounded to seven dps?
-0.0000013 | {
"pile_set_name": "DM Mathematics"
} |
-3, 316, 6, 4, -7.
-7, -3, 4, 6, 316
Put 0.01, -1/31, -5, 1.16, 0.3 in ascending order.
-5, -1/31, 0.01, 0.3, 1.16
Put -12726, -3, 0, -1 in decreasing order.
0, -1, -3, -12726
Sort -4/3, 0.1, -856, -3, 2, 0.06 in ascending order.
-856, -3, -4/3, 0.06, 0.1, 2
Sort 2, -8, -1593, 4 in increasing order.
-1593, -8, 2, 4
Sort -13, 2, 0.4, 621.
-13, 0.4, 2, 621
Sort 19, -2.3, 70, -1, -2/17 in decreasing order.
70, 19, -2/17, -1, -2.3
Sort -5, 3, 1, 25, 15, -10 in descending order.
25, 15, 3, 1, -5, -10
Put -1/1274, -2, 2/47, 4 in decreasing order.
4, 2/47, -1/1274, -2
Sort -59, 0, -5, 164, -2 in decreasing order.
164, 0, -2, -5, -59
Put 10, -0.4, 11, 2, 1 in increasing order.
-0.4, 1, 2, 10, 11
Sort -1355, 0.18, -10/9 in ascending order.
-1355, -10/9, 0.18
Put 2/3, -0.3, 23, -1/6, 2/11 in decreasing order.
23, 2/3, 2/11, -1/6, -0.3
Sort -1, -7, -0.29, -0.2, -1.3 in descending order.
-0.2, -0.29, -1, -1.3, -7
Sort -2, 154636, 2, 4 in ascending order.
-2, 2, 4, 154636
Sort 138, -0.3, -1, -0.1, 26, -1/4 in descending order.
138, 26, -0.1, -1/4, -0.3, -1
Sort -32, 821, 0 in descending order.
821, 0, -32
Put 0.3, -2, 33.47, 0.2, -3, 2 in descending order.
33.47, 2, 0.3, 0.2, -2, -3
Put 0, 4, 1, 248, -1 in increasing order.
-1, 0, 1, 4, 248
Put 0.8, 0.1, 1/26, 0.7, 3 in decreasing order.
3, 0.8, 0.7, 0.1, 1/26
Put -3, 3, 168054 in ascending order.
-3, 3, 168054
Sort 1052, -2, 2, 3, -138.
-138, -2, 2, 3, 1052
Sort -2/135, -2/13, 2, 7/2, -2/11 in decreasing order.
7/2, 2, -2/135, -2/13, -2/11
Sort 0.0238, -1, 0.6, -4/5, -0.3 in decreasing order.
0.6, 0.0238, -0.3, -4/5, -1
Sort 2, -1, 4, 29, -13.
-13, -1, 2, 4, 29
Sort 5, -4, 1, -20, -5, 2 in descending order.
5, 2, 1, -4, -5, -20
Put 2826/5, 1/2, -3/8, 2/5 in decreasing order.
2826/5, 1/2, 2/5, -3/8
Put 6197, 3/2, -1/2, -5 in decreasing order.
6197, 3/2, -1/2, -5
Sort -774, -8, 5.
-774, -8, 5
Put -5, -1, 1, 6, 0, 24 in descending order.
24, 6, 1, 0, -1, -5
Sort -5, -2/9, 28, -0.25.
-5, -0.25, -2/9, 28
Put -0.55, 4, -294 in descending order.
4, -0.55, -294
Put -1, -51, 15, 4, 0.3, -0.5 in increasing order.
-51, -1, -0.5, 0.3, 4, 15
Put 61, -1, 535 in descending order.
535, 61, -1
Sort -16, -4, 1, 1869 in decreasing order.
1869, 1, -4, -16
Sort 120401, 4, 0 in decreasing order.
120401, 4, 0
Sort 5/2, 0.5, -5/1687, -0.14, 2 in ascending order.
-0.14, -5/1687, 0.5, 2, 5/2
Put 41, 0, -6846 in decreasing order.
41, 0, -6846
Put 32, 3/5, -2/13, 23, 0.046, 0.1 in descending order.
32, 23, 3/5, 0.1, 0.046, -2/13
Put 0.5, -2, 782, 5/4, -2/3 in increasing order.
-2, -2/3, 0.5, 5/4, 782
Put -10, -4, 1998, 1, -1 in descending order.
1998, 1, -1, -4, -10
Put -1, 5, 11, 34, 173, -4 in increasing order.
-4, -1, 5, 11, 34, 173
Sort -5, 2187, -3.
-5, -3, 2187
Sort 1881.5, -0.2, 0, -4 in ascending order.
-4, -0.2, 0, 1881.5
Put -11, -1/89, 24/23, -4 in increasing order.
-11, -4, -1/89, 24/23
Put -3, 81.1, 1/8, 3 in increasing order.
-3, 1/8, 3, 81.1
Sort -36/769, 3/7, -0.2.
-0.2, -36/769, 3/7
Sort -35, 40, 12 in descending order.
40, 12, -35
Sort -471, 0, -35.
-471, -35, 0
Put -2, -29, -36, 2 in descending order.
2, -2, -29, -36
Sort 0, 39, -2, -1/4, -0.3, -5 in decreasing order.
39, 0, -1/4, -0.3, -2, -5
Sort 0, 2/7, -35, 1 in decreasing order.
1, 2/7, 0, -35
Put 0, 16066, 4 in decreasing order.
16066, 4, 0
Sort -12, 443, 270.
-12, 270, 443
Sort -1, -1159, 3, -33 in decreasing order.
3, -1, -33, -1159
Sort -6, -11/2, -20, 4, 5 in descending order.
5, 4, -11/2, -6, -20
Sort 1/5, 390, -1/5, 2, 3 in decreasing order.
390, 3, 2, 1/5, -1/5
Put 4, -3, -75, -56 in descending order.
4, -3, -56, -75
Sort 4, 5, 0, 1, -88 in descending order.
5, 4, 1, 0, -88
Put -17, 82, -6, -21, 5, -5 in descending order.
82, 5, -5, -6, -17, -21
Put 10, 33, 1, 11 in decreasing order.
33, 11, 10, 1
Sort -0.4, -0.09, 17, 1/7 in increasing order.
-0.4, -0.09, 1/7, 17
Sort -1, -195, 65/4 in descending order.
65/4, -1, -195
Put 1, 3, -152, -5, -14, -3 in ascending order.
-152, -14, -5, -3, 1, 3
Put 29, 3, 1, 43 in decreasing order.
43, 29, 3, 1
Sort 78, -4, -69117 in decreasing order.
78, -4, -69117
Sort 10, -16, 17, -1, 2, -7 in ascending order.
-16, -7, -1, 2, 10, 17
Put -32, -4, 1, -80, -1, 4 in ascending order.
-80, -32, -4, -1, 1, 4
Put 81, 3/8, 127, 0.3 in descending order.
127, 81, 3/8, 0.3
Sort -4, -3, 0.323, -1, -0.5, 1.
-4, -3, -1, -0.5, 0.323, 1
Sort -0.23, 0.2, -1, 0.4, -1.2.
-1.2, -1, -0.23, 0.2, 0.4
Put 0.4, 0, -50, 13, 41, -2/7 in decreasing order.
41, 13, 0.4, 0, -2/7, -50
Put -3, -0.11, 4, 5, -0.059, -1/2 in descending order.
5, 4, -0.059, -0.11, -1/2, -3
Sort -0.1, -0.11, -5, 7, 82.
-5, -0.11, -0.1, 7, 82
Sort -2, 204, 4, -3, 2, 5 in descending order.
204, 5, 4, 2, -2, -3
Put -0.4, 106/7, -24 in decreasing order.
106/7, -0.4, -24
Sort 210, -3, 28, 3 in descending order.
210, 28, 3, -3
Sort 0.2, 0.4, 1/2, 8/3, -3/100.
-3/100, 0.2, 0.4, 1/2, 8/3
Sort 21, -95, 0, 65, -5 in decreasing order.
65, 21, 0, -5, -95
Sort 0.1, -4, 0.13, 1/4, -0.04, -18 in increasing order.
-18, -4, -0.04, 0.1, 0.13, 1/4
Sort -5, -1/2, 0.2, -110, 4.
-110, -5, -1/2, 0.2, 4
Put -7/5, -9, 49 in decreasing order.
49, -7/5, -9
Sort 2/11, -432/11, 2, 3, -0.36.
-432/11, -0.36, 2/11, 2, 3
Sort -9, 85, 2, 1, -5, -45 in ascending order.
-45, -9, -5, 1, 2, 85
Put 0, 5, 2, 11, 245 in decreasing order.
245, 11, 5, 2, 0
Put 3, -5, -345, -28 in decreasing order.
3, -5, -28, -345
Sort 1/30, 4/5, 1/5.
1/30, 1/5, 4/5
Sort 4, 2, -3, -23, -76 in increasing order.
-76, -23, -3, 2, 4
Put 0.9, 21, 11.64, -1 in descending order.
21, 11.64, 0.9, -1
Put 6, 7, -1, 0.8 in decreasing order.
7, 6, 0.8, -1
Sort 11, -20326, 2 in increasing order.
-20326, 2, 11
Sort -4, 4, 1, 125, -7.
-7, -4, 1, 4, 125
Sort 25/4, -2/9, -3, -0.27, -2/39 in decreasing order.
25/4, -2/39, -2/9, -0.27, -3
Put 3, 0, 35856 in decreasing order.
35856, 3, 0
Put -473, -4, 1, -2, -16 in ascending order.
-473, -16, -4, -2, 1
Sort -5, -1, 7, 37, -2, 5 in decreasing order.
37, 7, 5, -1, -2, -5
Sort -4, 5, -1/3, -33.
-33, -4, -1/3, 5
Sort 4, -2, 5, 896 in decreasing order.
896, 5, 4, -2
Put -22318, -4, -139 in increasing order.
-22318, -139, -4
Put -303, 4342, -1 in increasing order.
-303, -1, 4342
Sort 5, -5, 3, 116, 2, -2.
-5, -2, 2, 3, 5, 116
Put 1, 1310, 2/3 in decreasing order.
1310, 1, 2/3
Sort 0, -5/2, -2/9, -31 in descending order.
0, -2/9, -5/2, -31
Put 4, 14/13, 5/4, 59 in decreasing order.
59, 4, 5/4, 14/13
Sort -5, 0, 34, 1, 47, 3.
-5, 0, 1, 3, 34, 47
Sort -5, 5, 0.5, -0.088, -17.
-17, -5, -0.088, 0.5, 5
Put 15, 1/2, -3/4, 4, 1/11, 193 in descending order.
193, 15, 4, 1/2, 1/11, -3/4
Sort 1/2, 1/33, -0.04, 1/16, -4.
-4, -0.04, 1/33, 1/16, 1/2
Sort -1, -3, 4, -29, -130 in increasing order.
-130, -29, -3, -1, 4
Sort 1/5, 46, 2188.
1/5, 46, 2188
Put -1, 2, 19, -5, 1 in descending order.
19, 2, 1, -1, -5
Sort -3/7, 4488, -1/9 in ascending order.
-3/7, -1/9, 4488
Sort -4, 28, 83, -5, -2 in descending order.
83, 28, -2, -4, -5
Put -0.3, -0.1, 2, 102, -7 in descending order.
102, 2, -0.1, -0.3, -7
Sort -3/4, 0.24, -11/5, 3/7 in decreasing order.
3/7, 0.24, -3/4, -11/5
Put -0.3, 1, 3, -0.1624, -2/5 in ascending order.
-2/5, -0.3, -0.1624, 1, 3
Sort 4, 233, -54 in ascending order.
-54, 4, 233
Sort -5, -21, -3, -1, -38 in ascending order.
-38, -21, -5, -3, -1
Sort -0.2, 3, 1/4, -18, -5/2 in increasing order.
-18, -5/2, -0.2, 1/4, 3
Sort 67/90, 0, -0.3, 0.04.
-0.3, 0, 0.04, 67/90
Put -1, 3, -147, -54, -6 in descending order.
3, -1, -6, -54, -147
Put -1/2, -0.4, -6, -5, 66 in ascending order.
-6, -5, -1/2, -0.4, 66
Sort -0.00261, -1/6, -6 in descending order.
-0.00261, -1/6, -6
Sort 13, -1/5, 6, -0.5, 0.042.
-0.5, -1/5, 0.042, 6, 13
Sort -2/11, -1/17, 1, 1/2, 2/9, -2 in descending order.
1, 1/2, 2/9, -1/17, -2/11, -2
Put -4, 5, -400, 1, 4 in descending order.
5, 4, 1, -4, -400
Sort 10, -3, 37, 3, 1, -5.
-5, -3, 1, 3, 10, 37
Put 4, 2/11, 0.325 in descending order.
4, 0.325, 2/11
Sort -61, 0, -79, 1 in ascending order.
-79, -61, 0, 1
Sort -380949, -2, 4 in decreasing order.
4, -2, -380949
Sort 0.4, 4, 6/17, -86.
-86, 6/17, 0.4, 4
Sort 0.02, -11177, -0.4, 1 in increasing order.
-11177, -0.4, 0.02, 1
Sort -4, -0.4, -69629 in descending order.
-0.4, -4, -69629
Put 256, 0, 7 in increasing order.
0, 7, 256
Sort -303, 5, -3, 9, -11 | {
"pile_set_name": "DM Mathematics"
} |
j - 861. Find the common denominator of d and 65/9.
18
Let o = 15070 + -15068. What is the least common multiple of 2620 and o?
2620
Find the common denominator of -55/552 and (32/42)/((837/(-1395))/((-14)/(-5))).
1656
Suppose -9*h - 4 + 31 = 0. Suppose 3*p = -d + 82, -3*p - 225 = -h*d - 5*p. Calculate the common denominator of 67/8 and d/(-6) - (-12)/(-48).
24
Let o(h) = 2*h**3 - 5*h**2 - 13*h + 3. Let s be o(5). Calculate the smallest common multiple of (-12)/27 - (-217)/s and 1.
3
Suppose 122*d - 145*d + 4893 = -857. What is the lowest common multiple of d and 150?
750
Suppose -217*u + 221*u = 2*d + 2980, 2978 = 4*u - d. What is the least common multiple of u and 1488?
1488
Let u = -19802/49 - -3623919/9016. Let d = u + 30/23. What is the common denominator of -59/171 and d?
1368
Let t be (2635/51)/(2/(-3) + 1). Suppose -5 - t = 4*i. Find the common denominator of (44/28)/(i/(-126)) and 31/12.
60
Let l = -8931354184/6421 + 1390960. What is the common denominator of l and 4/11?
70631
Suppose 2*u - 6*u + 4 = -2*k, -4*u = 4. Let g be 2/(-1270)*3/k. Let b = g + 5777/1270. Find the common denominator of 7/6 and b.
60
Let p = -795 + 817. Calculate the common denominator of -23/344 and (-12 + p)*(34/8)/1.
344
Let y(w) = -24 - 37 + 10 - 13*w + w**2 - 9 + 0*w**2. Suppose -5*i + 0*i = -320. What is the smallest common multiple of y(17) and i?
64
Let n = -4289150459/1998 - -2146722. What is the common denominator of n and 49/1776?
15984
Suppose -2*m - 2*m + 4*s = -52, -3*s = -m + 9. Let x(a) = -2*a**3 + 29*a**2 + 19*a. What is the least common multiple of x(m) and 36?
180
Let d be -2 - (-121)/(-132)*(-99)/138. Let k = -28/23 - d. What is the common denominator of k and -65/172?
344
Suppose 0 = -2*v + 4*v + 2*s - 22, 3*s = 2*v + 3. Suppose 98 = v*a - 184. Calculate the lowest common multiple of a and 9.
423
Let t be (48/36)/(8/18). Let c be 0 - (t + -1 + -24). What is the common denominator of -119/30 and c/6*2/(-10)?
30
Let q(c) = 3*c**2 + 584*c - 1773. What is the least common multiple of 8/(2/(-2) - -2) and q(3)?
24
Let a(j) = -42*j - 28. Let k be a(-2). Calculate the common denominator of 363/432*k/42 and -67/108.
108
Suppose 44*o = x + 48*o - 278, 898 = 3*x - 4*o. Calculate the lowest common multiple of 45 and x.
4410
Let m = -5 - -13. Suppose 0 = -4*r - 0*r + m. Suppose -v + 9 = -1. Calculate the least common multiple of v and r.
10
Let s = -58 + 66. Suppose s*y = 532 - 196. Suppose 0 = 4*x - 20, -2*z + 19 = 5*x - 2*x. Calculate the least common multiple of y and z.
42
Suppose o = 11*o + 70. What is the common denominator of 79/60 and o*(-5)/(-180)*291/21?
180
Suppose 37*y = 32*y + 5*a + 2180, 1764 = 4*y + a. What is the least common multiple of 341 and y?
13640
Let l be (-1 - -36)/(9/132678). Let r = l - 6701980/13. Let d = 171253/390 - r. Find the common denominator of d and 47/30.
30
Let b = -688/5 + 2369/15. Suppose j + 4*p = 14, 3*p - 29 = 4*j - 9. What is the common denominator of b and ((-247)/j + -1)*(-164)/820?
6
Suppose 4*h + 314 - 30 = 0. Let v = -35 - h. Suppose r + v = -m + 4*m, 0 = -m - 5*r + 12. Calculate the smallest common multiple of m and 22.
132
Let t be 1074/6*(7/(-4) - -3). Let n = 228 - t. Find the common denominator of n and ((-26)/(-48))/((-1)/(-3)).
8
Let u = 1/437 + -20981/2185. Calculate the common denominator of -137/60 and u.
60
Let i = -65/32 - -1147/352. Let n = i - -1547/66. Find the common denominator of n and -61/30.
30
Suppose d + 4 = 9. Let k be 7 - (20/5 - -1). What is the least common multiple of d and (-1 + k)/(-4*(-8)/2848)?
445
Let l = 28928619/624602180 - -8/227957. What is the common denominator of l and 37/2192?
10960
Calculate the common denominator of 212/6*198/(-264)*2/35 and -4*((-15)/(-84) + 1).
35
Let s = -4253879/112648738 + 8/83197. What is the common denominator of s and -31/10?
6770
Let s = -696 + 749. Suppose 0*n - 93 = 3*n. Let c = s + n. Calculate the least common multiple of 20 and c.
220
Let o = 47602/113145 - -2/5955. Find the common denominator of o and -31/384.
7296
Let x = 2593 - 15509/6. Let b = -515/2 + 211. What is the common denominator of b and x?
6
Suppose 5*t - 7259 = 6*f, 2*f + 571 = 4*t - 5239. Calculate the lowest common multiple of 1 and t.
1453
Suppose -15*u + 540 = -540. Calculate the least common multiple of u and 72.
72
Let m = 253 - 255. Calculate the lowest common multiple of 3/(-6) - 41/m and 14.
140
Let n = 393457/60 + -4209/20. Let m = -6366 + n. Let y = -2675 - -15995/6. What is the common denominator of y and m?
6
Let x(i) = 5*i**2 - 323*i + 226. What is the least common multiple of 27 and x(65)?
9612
Let m = 671 - 4085/6. Find the common denominator of m and 5*(-1)/4*(-26 - 30439/(-915)).
12
Suppose n - 2608 = 9*n. Let g = 418 + n. What is the smallest common multiple of g and 4?
92
Let m = 30551644197/92 + -332079379. Let u = m - 3710. Find the common denominator of 49/8 and u.
184
Calculate the common denominator of 9/1 - (54243/(-108))/(-49) and 0/5 - (-31)/12.
12
Let p = 4405051/24 - 183542. Let g = 4961277623/3948 + -8796692/7. Let o = g - -138/47. Find the common denominator of p and o.
24
Suppose 12 = 4*a, -2*g + 22 = a - 923. What is the lowest common multiple of 15 and g?
2355
Let l(s) = -43*s**2 + 3013*s - 144. Calculate the least common multiple of 220 and l(70).
660
Let b be -5 + (-1 - 1089/21) + 5. Let c = b + 845/14. Find the common denominator of c and 8.
2
Let d(b) = -2*b**3 + b**2 + 1. Let i be d(0). Calculate the common denominator of -85/21 and i/3*(-125)/(-65).
273
Let u = -46573 - -67321. Let i = u - 5477437/264. Find the common denominator of i and 97/24.
264
Let c = -63 - -67. Let v(x) = x + 8. Suppose 3*j + 3 = 3*g, 4*j + g = -j + 1. What is the lowest common multiple of v(j) and c?
8
Let f = -27222 + 27278. Calculate the lowest common multiple of f and 12.
168
Let l(y) = -y**3 + 8*y**2 + 7*y + 22. Let s be l(9). What is the smallest common multiple of 152 and -147*10/(-75) - s/(-10)?
760
Let a be ((-16044)/126)/(1/(1*-3)). Suppose -a = -m - n - 3*n, 1448 = 4*m - 4*n. Calculate the smallest common multiple of 20 and m.
3660
Let d be (16/(-3))/(-2)*(8 - -106). Let a = -156 + d. What is the lowest common multiple of a and 14?
1036
Suppose 5*v + 185 = 5*r, -13 = v + 2*r + 9. Let o be (v/6)/(6/36). Calculate the common denominator of ((-36)/o)/((-3)/(-36)) and 25/12.
12
Suppose -1374 - 2480 - 1726 = -155*k. Calculate the smallest common multiple of 396 and k.
396
Let p = -377 + 737. Let y(c) = 3*c + 15. Calculate the common denominator of y(10) and (-15)/2*(-306)/p.
8
Let i(z) = 591*z**3 - 30*z**2 + 55*z + 8. Calculate the lowest common multiple of 6 and i(2).
14178
Let f be -6*3/(-24)*32626/15. Suppose -4*z + 9738 = -10*z. Let c = z + f. Find the common denominator of 81/14 and c.
70
Let l(r) = -7*r**3 + 2*r**2 + 5*r - 2. Suppose 15774 = -107*b + 16202. What is the least common multiple of l(-5) and b?
1796
Suppose 10*h + 458 - 2258 = 0. Let s = -135 + h. Calculate the smallest common multiple of 27 and s.
135
Find the common denominator of 490/(-36) - (180 - 195) and -167/1740.
5220
Let h = -501 - -1822. Let q = h + -1325. Let g = 27245/8 - 3396. What is the common denominator of q and g?
8
Let k(w) = w**2 + w + 8. Let g be k(8). Let b = -76 + g. Suppose 17*s + b = 21*s. What is the lowest common multiple of 15 and s?
15
Find the common denominator of ((1617/1372)/(78/8))/((-2)/(-4)) and 55/13.
91
Suppose -5*o + 340 = 5*g, -2*o + 141 = 4*g - 125. Let s(f) = 4*f**2 + 6*f - 39. Let q be s(0). Calculate the lowest common multiple of 36 and (-1254)/q - 10/g.
288
Suppose w - 17 = -2*s + 18, -5*w + 4*s = -133. Suppose -5*p = -141 - w. What is the least common multiple of p and (-5)/(-30) + (-238)/(-12)?
340
What is the common denominator of 91/114 and (12*(-20)/(-11520))/(64/(-1164))?
14592
Calculate the common denominator of (0 - 74)*(-11)/(-132) and ((152/14)/(-2))/(80/(-5)).
168
Let b be ((-2064)/270)/(2/1390). Let x = b + 5319. What is the common denominator of (-2)/3 - 188/78 and x?
117
Find the common denominator of 7*28/144 + (-4)/(-18) and (117/(-30))/((-18)/(-14)).
60
What is the least common multiple of 6435 and ((-192)/(-10) - (-42 + 36))/(8/1300)?
45045
Suppose 102*h = 98*h - 156. Calculate the smallest common multiple of 34 and | {
"pile_set_name": "DM Mathematics"
} |
m kcckk. Give prob of picking 1 c and 2 k.
3/5
What is prob of picking 4 q when four letters picked without replacement from dzdqzzqqzqzzzrzqqqz?
35/3876
Two letters picked without replacement from {z: 5, h: 5, n: 3, o: 1, b: 5, a: 1}. What is prob of picking 1 o and 1 n?
3/190
Two letters picked without replacement from hwwhqnnwhhhqwhhnhhx. Give prob of picking 1 w and 1 x.
4/171
Two letters picked without replacement from gkkqyqlqgkgln. Give prob of picking 1 q and 1 g.
3/26
Two letters picked without replacement from giktktgr. Give prob of picking 1 r and 1 g.
1/14
Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {p: 2, k: 1, q: 3, a: 4}.
4/15
Two letters picked without replacement from {r: 4, o: 5, s: 6}. What is prob of picking 2 s?
1/7
Two letters picked without replacement from {u: 8, b: 5}. Give prob of picking 1 b and 1 u.
20/39
Three letters picked without replacement from {h: 1, o: 10, g: 3, z: 1, j: 2, y: 2}. What is prob of picking 2 o and 1 h?
15/323
Two letters picked without replacement from txttqrttvttttt. Give prob of picking 1 t and 1 q.
10/91
Four letters picked without replacement from {i: 2, x: 6, f: 3, r: 1}. Give prob of picking 3 f and 1 x.
2/165
Calculate prob of picking 1 c and 1 a when two letters picked without replacement from jzacjnacznzz.
2/33
Three letters picked without replacement from {i: 1, c: 1, d: 2, m: 1, o: 2}. What is prob of picking 1 c, 1 o, and 1 m?
2/35
Two letters picked without replacement from eryryaereeyeeeeerree. Give prob of picking 1 e and 1 r.
11/38
Three letters picked without replacement from qxxbbqxxbxbxbbqxx. What is prob of picking 1 q, 1 x, and 1 b?
18/85
Calculate prob of picking 1 j, 1 b, and 2 s when four letters picked without replacement from zrbjssbj.
2/35
Four letters picked without replacement from {q: 4, r: 4, g: 2, p: 5}. Give prob of picking 1 g and 3 p.
4/273
Four letters picked without replacement from vvrosrh. Give prob of picking 2 r and 2 v.
1/35
Two letters picked without replacement from {x: 3}. Give prob of picking 2 x.
1
Four letters picked without replacement from {t: 4, j: 8, i: 2}. What is prob of picking 1 j and 3 t?
32/1001
What is prob of picking 1 b and 1 p when two letters picked without replacement from bpbpbbbbb?
7/18
What is prob of picking 3 s and 1 c when four letters picked without replacement from {a: 3, c: 2, s: 5}?
2/21
Two letters picked without replacement from depieedpded. What is prob of picking 1 i and 1 e?
4/55
Calculate prob of picking 3 k when three letters picked without replacement from {c: 9, k: 10}.
40/323
Two letters picked without replacement from {d: 2, w: 1, j: 1, l: 1}. What is prob of picking 1 j and 1 l?
1/10
What is prob of picking 1 k and 1 u when two letters picked without replacement from qfuquuffufffqkufqqu?
2/57
What is prob of picking 2 r and 1 o when three letters picked without replacement from {x: 3, v: 5, r: 3, m: 1, o: 1, i: 4}?
3/680
Four letters picked without replacement from {r: 4, q: 3, y: 1, n: 5}. Give prob of picking 3 y and 1 n.
0
Calculate prob of picking 1 z and 1 i when two letters picked without replacement from zzjzi.
3/10
Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {n: 1, e: 1, w: 1, c: 2}.
1/5
Calculate prob of picking 3 s when three letters picked without replacement from sesessse.
5/28
What is prob of picking 1 v and 1 f when two letters picked without replacement from {c: 1, f: 3, v: 1}?
3/10
Three letters picked without replacement from {s: 1, n: 1, x: 7, k: 4, w: 2}. What is prob of picking 1 x and 2 w?
1/65
What is prob of picking 1 h and 1 q when two letters picked without replacement from qbhdd?
1/10
Three letters picked without replacement from {g: 7, u: 2, p: 11}. Give prob of picking 3 g.
7/228
Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {c: 2, q: 1, n: 6, s: 3, w: 2}.
18/91
Calculate prob of picking 3 i and 1 t when four letters picked without replacement from titiitttttsttsii.
9/182
Calculate prob of picking 1 e, 1 i, and 1 b when three letters picked without replacement from bbbbebbabibbtbbab.
3/170
Four letters picked without replacement from dlalallz. Give prob of picking 3 a and 1 l.
0
Two letters picked without replacement from {g: 8, d: 2, c: 5, v: 1}. Give prob of picking 2 d.
1/120
Three letters picked without replacement from {n: 14, j: 4}. Give prob of picking 1 j and 2 n.
91/204
Three letters picked without replacement from effaexeeeeeexxjffeex. What is prob of picking 1 e, 1 a, and 1 j?
1/114
What is prob of picking 3 h and 1 v when four letters picked without replacement from bbbbhbhhvhbbbhhhbhh?
7/323
Four letters picked without replacement from btibbbdbbbndbi. Give prob of picking 1 i, 1 b, 1 t, and 1 d.
32/1001
What is prob of picking 3 m when three letters picked without replacement from raracfms?
0
Four letters picked without replacement from {c: 1, r: 1, h: 2, m: 1, a: 1, j: 2}. What is prob of picking 1 a, 1 m, and 2 j?
1/70
What is prob of picking 1 k, 1 w, and 1 l when three letters picked without replacement from lklzwzeezkllkzellz?
3/136
Three letters picked without replacement from {a: 1, e: 1, m: 2, h: 2}. What is prob of picking 1 h and 2 m?
1/10
Three letters picked without replacement from aazzaaaaaz. What is prob of picking 3 a?
7/24
Three letters picked without replacement from {m: 1, o: 18}. Give prob of picking 3 o.
16/19
Two letters picked without replacement from {s: 1, z: 2, g: 1}. Give prob of picking 1 g and 1 s.
1/6
Calculate prob of picking 2 b when two letters picked without replacement from {c: 1, a: 1, b: 2, m: 2, s: 1, z: 1}.
1/28
Four letters picked without replacement from {o: 5}. Give prob of picking 4 o.
1
Two letters picked without replacement from {e: 1, r: 3, t: 4, s: 1, d: 2}. Give prob of picking 2 r.
3/55
Three letters picked without replacement from neenbebnbbbfebeb. Give prob of picking 1 e and 2 n.
3/112
What is prob of picking 1 g, 1 l, and 2 r when four letters picked without replacement from {g: 2, j: 4, h: 1, r: 9, l: 3}?
18/323
Four letters picked without replacement from ggggg. Give prob of picking 4 g.
1
Three letters picked without replacement from {y: 1, v: 17}. What is prob of picking 3 v?
5/6
Two letters picked without replacement from {g: 5, e: 8, y: 4}. Give prob of picking 2 y.
3/68
What is prob of picking 1 l, 1 b, and 1 q when three letters picked without replacement from {j: 4, l: 4, d: 3, b: 1, q: 1, y: 1}?
1/91
Two letters picked without replacement from {a: 11, g: 3}. What is prob of picking 2 a?
55/91
Three letters picked without replacement from gkppgikikpkpkpkkk. Give prob of picking 1 g and 2 p.
1/34
Calculate prob of picking 1 f, 2 x, and 1 n when four letters picked without replacement from xfnxhfxfflfnnnhnnhuu.
6/323
Calculate prob of picking 1 v and 3 t when four letters picked without replacement from vtctjvttkrkv.
4/165
Four letters picked without replacement from {s: 7, j: 3}. What is prob of picking 1 j and 3 s?
1/2
Two letters picked without replacement from {l: 4, c: 3, d: 10, w: 3}. Give prob of picking 2 w.
3/190
What is prob of picking 1 n and 3 y when four letters picked without replacement from {y: 11, n: 1}?
1/3
Calculate prob of picking 1 f and 1 z when two letters picked without replacement from fnz.
1/3
Calculate prob of picking 2 a and 1 m when three letters picked without replacement from {a: 13, m: 5}.
65/136
Calculate prob of picking 1 v and 1 i when two letters picked without replacement from yviidviodyvm.
3/22
Two letters picked without replacement from {s: 10, c: 4, y: 2}. Give prob of picking 2 y.
1/120
Four letters picked without replacement from {s: 4, u: 2, z: 3, d: 1}. What is prob of picking 2 z, 1 u, and 1 s?
4/35
Three letters picked without replacement from hbaxbbnnghxg. What is prob of picking 1 n, 1 g, and 1 b?
3/55
Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {q: 5, s: 3, e: 4, m: 2, r: 5}.
5/57
Three letters picked without replacement from {h: 6, n: 4, o: 3, v: 1}. Give prob of picking 2 n and 1 h.
9/91
What is prob of picking 2 q when two letters picked without replacement from oqsvsq?
1/15
Calculate pr | {
"pile_set_name": "DM Mathematics"
} |
ive of 81*q*w**2 - 2*q*w - 4052*w**2 + 1 wrt q.
81*w**2 - 2*w
Find the second derivative of -100*t**3*w**2 + 56*t**3*w + 2*t**3 - t*w wrt w.
-200*t**3
Differentiate 2*b*k**2*l**2 - b*l**3 - 6*b*l*s - 16*k**2 + 4*k*l**3*s + 2*k*l**3 wrt b.
2*k**2*l**2 - l**3 - 6*l*s
What is the third derivative of -21*c**4*q + 2*c**3 - 41*c**2*q + 3*c**2 wrt c?
-504*c*q + 12
Find the second derivative of -165*o**4 - 2*o**2*z**3 + 4*o - z**3 wrt o.
-1980*o**2 - 4*z**3
Differentiate -12809*v**2 + 14575 wrt v.
-25618*v
What is the second derivative of 233*o**2 + 212*o?
466
Find the third derivative of 194*b**6 - 2*b**2 - 140*b.
23280*b**3
Find the second derivative of -14786*i**2 + 3*i - 3216.
-29572
What is the third derivative of -23*d**5*o - d**3*k**2 + d**3*o**3 + 2*d**2*k**2*o**3 + 220*d*k**2*o + k*o**3 wrt d?
-1380*d**2*o - 6*k**2 + 6*o**3
Find the second derivative of 4*g**4 - 131*g**2 + 222*g.
48*g**2 - 262
Differentiate k**2*l + 72*k**2*y**3 + k*l*y**3 - 4*l wrt l.
k**2 + k*y**3 - 4
Differentiate -3*f**3*s + 197*f**3 - 2*f**2*g - f**2 - 174*f*g*s + 3*f with respect to s.
-3*f**3 - 174*f*g
What is the second derivative of -20*c**2*p**2 - c**2*p - 117*c**2 - 3*c*p**2 wrt p?
-40*c**2 - 6*c
Find the third derivative of -19*k**3*v**3 - 832*k**3*v**2 + 7*k**2*v**4 wrt v.
-114*k**3 + 168*k**2*v
Differentiate -242*k**4 - 168 with respect to k.
-968*k**3
Find the second derivative of 8*b**2*o**3 + b**2 + 370*b*o**3 + 7*b - 313*o wrt o.
48*b**2*o + 2220*b*o
What is the third derivative of 14*p**5 - 45*p**4 + 166*p**2 wrt p?
840*p**2 - 1080*p
Differentiate -925*u - 959.
-925
Find the first derivative of 80*a**2*b - 2*a**2*c - 16*a*b*c + 2*a + 25*b - 24*c wrt c.
-2*a**2 - 16*a*b - 24
What is the second derivative of i*k**3*l + 12*i*k**3*p + 2*i*k**3 + i*k**2*l + 7*i*p**2 - 5*k**3*l*p**2 + k**3*p**2 + 2*k*p wrt p?
14*i - 10*k**3*l + 2*k**3
What is the third derivative of -4*b**4*x + 5*b**3*p*x - 2*b**3*p - b**2*p*x + 6*b**2 - p - 4 wrt b?
-96*b*x + 30*p*x - 12*p
Find the second derivative of -5*m**2*x**2 + 8*m**2*x - 288*m*x**2 wrt m.
-10*x**2 + 16*x
What is the first derivative of 2*d**3*g**3 + 5*d**2*g**3 + 15*d**2 - 49*g**3 + 2*g wrt d?
6*d**2*g**3 + 10*d*g**3 + 30*d
Differentiate -66*g*h**3 - 17*g*m**3 - 7*g*m + 2*h**3*m - 6*h**3 with respect to m.
-51*g*m**2 - 7*g + 2*h**3
What is the derivative of 14*h*j*o + 3*h*j + 10*h*o + j*o - 213*o wrt h?
14*j*o + 3*j + 10*o
Differentiate 1000*h**3 - 837 with respect to h.
3000*h**2
What is the third derivative of -23*m**5 - 15*m**4 - m**3 + 3801*m**2?
-1380*m**2 - 360*m - 6
Find the second derivative of 6350*o**3 + 11247*o.
38100*o
Find the first derivative of h**4*p + 1145*h**2*p**3 - p**3 - 4 wrt h.
4*h**3*p + 2290*h*p**3
What is the derivative of k**3*u**2 - 31*k**3 + 8*k**2 + 76*u**3 wrt u?
2*k**3*u + 228*u**2
Find the third derivative of -59*f**2*z**3 + 6*f**2*z - 18*f*z**3 - 3*z**2 + 32*z wrt z.
-354*f**2 - 108*f
What is the third derivative of 2*c**4*d + 2*c**4 + 33*c**3*d - 47*c**2*d wrt c?
48*c*d + 48*c + 198*d
What is the second derivative of 12*b**2*d*k**2 + 6*b**2*d*k - 3*b**2*d - 157*b**2*k**2 - 3*b**2*k + 15*b wrt k?
24*b**2*d - 314*b**2
Find the second derivative of 498*p**4 + 315*p wrt p.
5976*p**2
What is the derivative of 82*o**2 - 29 wrt o?
164*o
Find the third derivative of 149*f**4 + 4*f**3 - 1870*f**2 wrt f.
3576*f + 24
What is the third derivative of 3938*r**5 - 5139*r**2?
236280*r**2
What is the derivative of -8*r**4 + 9*r*t**2 + 113*t**2 wrt r?
-32*r**3 + 9*t**2
Find the first derivative of 3*i**2*r - i*r**2 + 3*i*r + 67*r**2 - 2 wrt i.
6*i*r - r**2 + 3*r
Differentiate 441*i*v + 80*i - v wrt v.
441*i - 1
Differentiate -5*s**3 + 53*s**2 + 10684.
-15*s**2 + 106*s
What is the derivative of 9027*l**3 + 4841?
27081*l**2
Find the second derivative of 5464*h**3 - 7384*h wrt h.
32784*h
Find the second derivative of -6*b*p**3 + 7*b*p**2*z**2 + 2*b*p*z**2 - 4*b*z - 6*p**3*z**2 - 2*p**2*z wrt z.
14*b*p**2 + 4*b*p - 12*p**3
Find the third derivative of -124*g*j**5 + 40*g*j**2 - 2*j**5 + 2*j**2 wrt j.
-7440*g*j**2 - 120*j**2
Differentiate -2*u**2 + 39*u - 111 wrt u.
-4*u + 39
Find the third derivative of 15520*n**4 - 18*n**2 - 6*n + 10.
372480*n
Find the third derivative of 699*x**4 + 672*x**2.
16776*x
Differentiate 4238*y**3 - 1728 wrt y.
12714*y**2
Find the third derivative of -2*g**3*n**4 - 12*g**3*n**3 - 8*g**3*n**2 - g**3 - 3*g**2*n**3 - 5*g*n**2 wrt n.
-48*g**3*n - 72*g**3 - 18*g**2
What is the first derivative of -g**2*m*o - 3*g**2*o + 6*g**2 + 683*g*m*o + 84*g wrt m?
-g**2*o + 683*g*o
What is the second derivative of -3*w*x**2*z**3 + 1716*w*x**2*z**2 + 4*w*z + 8*x**2 + 25*z wrt z?
-18*w*x**2*z + 3432*w*x**2
Differentiate 717*y + 352 wrt y.
717
Find the second derivative of -3*j*q**2*s**2 - 2*j*q**2 - j + 2*q*s**2 + 94*q*s + 2*s**2 wrt q.
-6*j*s**2 - 4*j
What is the second derivative of -452*j**2*k**3 - 2*j**2*k + 21*j*k**3 + 34 wrt j?
-904*k**3 - 4*k
What is the third derivative of -4789*z**4 + 3767*z**2?
-114936*z
Find the third derivative of 2440*n**4 - 1254*n**2 wrt n.
58560*n
Differentiate -u**3*y**2 - 2065*u**3*y + 464*u**3 + 2*u with respect to y.
-2*u**3*y - 2065*u**3
What is the third derivative of -454*q**3 - 1269*q**2 wrt q?
-2724
What is the second derivative of 2*o**5 + 141*o**3 - 2*o - 108?
40*o**3 + 846*o
Find the third derivative of 2*j**5*q**2 + 3653*j**5*q + 3*j**2*q**2 + 283*j**2 wrt j.
120*j**2*q**2 + 219180*j**2*q
Differentiate -52*u**3*y - 2*u**2*y + 3*u*y**2 - 6859*y**2 with respect to u.
-156*u**2*y - 4*u*y + 3*y**2
What is the first derivative of 81*s**4 - 169?
324*s**3
Differentiate -289*k**2 + 117.
-578*k
Find the second derivative of -119*d**3*s + 3*d**3 - d**2*s**2 + 501*d*s - d - 2*s**2 wrt d.
-714*d*s + 18*d - 2*s**2
What is the first derivative of 2*p**2 - 174*p + 884?
4*p - 174
Find the second derivative of 7*n**5 - 175*n**4 + 107*n - 1.
140*n**3 - 2100*n**2
What is the third derivative of 27*v**6*z**2 - v**5*z**3 - 4*v**2*z**3 - 11*v**2*z**2 wrt v?
3240*v**3*z**2 - 60*v**2*z**3
Find the first derivative of -r*u + 117*r - 40*u - 1 wrt r.
-u + 117
Find the second derivative of 598*l**5*v + 12*l**2*v - 957*l*v + 2 wrt l.
11960*l**3*v + 24*v
Differentiate 586*o**4 - 3050 with respect to o.
2344*o**3
What is the first derivative of 25*k**2*y**2 - 3*k**2*y + 143*k**2 - k*y**2 wrt y?
50*k**2*y - 3*k**2 - 2*k*y
Differentiate -3*f**4*k**2 - 33*f*k**3 + 86*k**3 with respect to f.
-12*f**3*k**2 - 33*k**3
What is the second derivative of 514*v**2 - 1568*v wrt v?
1028
Find the third derivative of q**4*x**3 - 327*q**4*x**2 + 167*q**2*x**2 - 2*x**3 wrt q.
24*q*x**3 - 7848*q*x**2
Find the third derivative of f*k**4 - 286*f*k**2 - 264*k**4 + 2*k**2 wrt k.
24*f*k - 6336*k
Find the third derivative of -5*p**4 - 707*p**3 + 40*p**2 - p - 46.
-120*p - 4242
What is the derivative of 2*g**2*u*z + 3*g**2 + 15*g*u*z - g*z**2 - 14*u - 5*z**2 wrt g?
4*g*u*z + 6*g + 15*u*z - z**2
What is the third derivative of -452*n**3 - 495*n**2 wrt n?
-2712
What is the derivative of 2336*f*j**2 - 4258*j**2 wrt f?
2336*j**2
What is the first derivative of -2418*b - 2539?
-2418
Find the third derivative of -6*h**6 + 214*h**3 - 8*h**2 - 6 wrt h.
-720*h**3 + 1284
What is the derivative of 384*j**2 + 86?
768*j
What is the second derivative of 530*p**3 + p - 221 wrt p?
3180*p
What is the third derivative of 34*i*x**4 + 14*i*x**2 - 4*i + 3*x**6 + x**2 wrt x?
816*i*x + 360*x**3
Find the second derivative of -2*o**3 - 47*o**2 + 1440*o.
-12*o - 94
What is the first derivative of -75*v**4 - v**2 - 27 wrt v?
-300*v**3 - 2*v
Find the second derivative of 8777*r**2 - 77*r + 45 wrt r.
17554
Find the second derivative of -j**3*p**3 - 90*j**3 + 7193*j*p**5 + 79*j*p wrt p.
-6*j**3*p + 143860*j*p**3
What is the second derivative of -374*v*w**5 + v*w - 168*v wrt w?
-7480*v*w**3
Find the second derivative of -689*c**3 + 4*c**2 + 4210*c.
-4134*c + 8
What is the derivative of 358*v + 85?
358
What is the second derivative of -5*c*t**2 + 32*c*t*u**3 + 2*c*t*u**2 - 2*c*t - 124*t**2*u**3 + 2*t**2*u - 2*t**2 + t*u**2 wrt t?
-10*c - 248*u**3 + 4*u - 4
Find the first derivative of -2*d*z**2 - d*z + 446*d + 2*z**2 + 8751 wrt d.
-2*z**2 - z + 446
Differentiate 2*k**3*q**4 - 129*k**3*q**3 + 789*k**3 with respect to q.
8*k**3*q**3 - 387*k** | {
"pile_set_name": "DM Mathematics"
} |
e product of 18833 and 534.5?
10066238.5
Calculate 10*644241.
6442410
What is -72 times 1074.67?
-77376.24
-6 times -3534.1232
21204.7392
-10 times -0.4102458
4.102458
Calculate -5.7305*-0.3535.
2.02573175
Multiply 7881 and 12722.
100262082
0.2875282 * 10
2.875282
Calculate 0.1*-8508839.
-850883.9
-25179930 times 8
-201439440
Work out 8.76 * -105739.
-926273.64
2 times 19653805
39307610
Multiply -9150791 and -0.1.
915079.1
Product of -1094 and -3.2335.
3537.449
Work out 0.572 * -3991.27.
-2283.00644
-0.22511 * -24527
5521.27297
-12578.47 * 983
-12364636.01
What is the product of -54 and -55941?
3020814
Work out 71054.8 * 6.
426328.8
What is 164366 times -35?
-5752810
Product of -0.47 and 0.03316286.
-0.0155865442
What is 0.2086 times -543.22?
-113.315692
What is the product of -0.03464 and -505?
17.4932
What is the product of 2.77438 and -35?
-97.1033
0.4 times 65.69039
26.276156
-52 * -442547
23012444
16319*-253
-4128707
-10 times -322776
3227760
1791*-6579
-11782989
What is the product of -16 and 438512?
-7016192
-1.016613*-0.99
1.00644687
-0.2 times 127125916
-25425183.2
Work out 1.4598 * -0.0467.
-0.06817266
Calculate -0.07*1.122666.
-0.07858662
0.599*-2.9765
-1.7829235
What is the product of 29.7 and 20018?
594534.6
Calculate -0.1*222739.4.
-22273.94
Calculate 6.186*37358.
231096.588
27.2799 times -110
-3000.789
What is -3 times 2730.3159?
-8190.9477
-2510 * -108785
273050350
Work out 40895.3 * 1.96.
80154.788
What is -5 times 0.075095877?
-0.375479385
What is 417811 times -1870?
-781306570
What is 1.6 times -2294.4291?
-3671.08656
Calculate -160513*1.36.
-218297.68
Product of -0.1 and -17373090.
1737309
Calculate -1*3486.293.
-3486.293
What is the product of 2 and 47133.807?
94267.614
Calculate -5*0.07901532.
-0.3950766
Calculate -0.027904*-379.
10.575616
Work out -3.1 * -509741.
1580197.1
What is the product of -949 and -1.469618?
1394.667482
-1.2 times -10154737
12185684.4
-3.354 * 180.2
-604.3908
-26 times -6063778
157658228
What is the product of 159509.6 and 18.5?
2950927.6
Multiply 18.0902 and 0.07.
1.266314
What is the product of -0.05 and 8.272902?
-0.4136451
What is the product of -0.598 and -86499?
51726.402
Multiply 22.3 and -164037.
-3658025.1
Multiply -35 and 23.3641.
-817.7435
Work out 2101893 * -4.
-8407572
2 times -55739.1
-111478.2
What is 0.07943 times -8583?
-681.74769
What is 12199 times -254?
-3098546
Calculate 0.102*6608.721.
674.089542
Work out -3 * -4468895.
13406685
-77486 times -3046
236022356
Calculate 19*-39449308.
-749536852
Multiply -2410 and -39.2.
94472
-0.2*-96348959
19269791.8
Work out 1.993 * -156529.
-311962.297
What is 289758 times 0.035?
10141.53
Calculate -869452*-0.089.
77381.228
642036.3*-3
-1926108.9
What is the product of 410 and 8.741?
3583.81
Multiply -1.026 and -0.027.
0.027702
Calculate 0.7048015*6.
4.228809
Multiply 11250.4 and -0.18.
-2025.072
-28*-4049.021
113372.588
Multiply 0.071 and -4.37189.
-0.31040419
777436 * -6
-4664616
Product of -0.44 and 216175.
-95117
Product of -0.2 and 201117189.
-40223437.8
Product of -0.06005 and 963.
-57.82815
37753*-160
-6040480
Work out 24 * -239.614.
-5750.736
0.2597 times 87269
22663.7593
Work out -129.1 * 42.8.
-5525.48
Calculate 78.34859*0.1.
7.834859
What is -2 times 2616506?
-5233012
0.87 times 1502584
1307248.08
Work out -3.46728 * 3.17.
-10.9912776
Product of 1976 and -48.5083.
-95852.4008
Calculate -19.5*87.4.
-1704.3
What is -8520.63 times 0.04?
-340.8252
What is -172 times 358339?
-61634308
37.47 * 299.9
11237.253
Work out 120 * -90985.
-10918200
Work out -14374 * 0.10733.
-1542.76142
Calculate 1*5319.142.
5319.142
Product of -15248.38 and 77.
-1174125.26
82817.49 times -0.08
-6625.3992
3 times -24887660
-74662980
Calculate 102.587131*5.
512.935655
What is 581 times 775.7?
450681.7
45 * -7300.2
-328509
-18.432 times -1447
26671.104
What is 53345353 times -22?
-1173597766
Product of 7975 and -0.03061.
-244.11475
What is the product of 6037 and 2662.1?
16071097.7
Work out 3.5236 * 1.255.
4.422118
Product of -29952 and 10.8.
-323481.6
15 * -1785537
-26783055
Work out -0.04 * -8074730.
322989.2
What is the product of 6 and -684838?
-4109028
Multiply 0.17993702 and 0.065.
0.0116959063
-1.4553 times 197
-286.6941
1162753 times -3.9
-4534736.7
Multiply 8 and -1845005.
-14760040
Work out 0.1 * 22893837.
2289383.7
Product of 1149 and -0.0609.
-69.9741
What is 12982.58 times -146?
-1895456.68
What is the product of -931183396 and -0.3?
279355018.8
1 * 6120510
6120510
Calculate -0.13*462422.
-60114.86
What is the product of -17.4982 and -1337?
23395.0934
906125*25
22653125
What is the product of -1007.5 and 9.621?
-9693.1575
Work out 146794 * 149.
21872306
-4767 times -0.1781
849.0027
What is -3 times -1879.421?
5638.263
Work out 4 * 134080.
536320
266906118 times 3
800718354
What is -1.8406834 times -0.3?
0.55220502
Calculate -109034242*0.5.
-54517121
What is the product of 15.844 and -47.51?
-752.74844
Calculate -4.2*50212.6.
-210892.92
Calculate -11660*0.058411.
-681.07226
36.379 times 1.9
69.1201
Calculate -369.75*-0.0797.
29.469075
-534.81141*4
-2139.24564
Multiply -88 and 417183.5.
-36712148
75.9 * 0.0093837
0.71222283
Multiply -7547058 and -0.09.
679235.22
Multiply -17956 and -6016.
108023296
What is the product of -27908452 and -0.3?
8372535.6
-1 times 84252555
-84252555
-114455 * 108.4
-12406922
-42266478*-2
84532956
-1210690 * 142
-171917980
5*-8151508
-40757540
Calculate -1*17947539.
-17947539
Multiply -3.3 and -3677637.
12136202.1
9274215*-0.4
-3709686
Product of 185.488 and -223.
-41363.824
Multiply 8 and 0.004671.
0.037368
6460.663*0.2
1292.1326
-3.93*-2708.4
10644.012
What is the product of 0.19 and -2.5907236?
-0.492237484
Product of -0.6 and -3023.91.
1814.346
Product of -5.393 and -125.
674.125
Multiply -6 and 17372546.
-104235276
0.10912*222
24.22464
Calculate -0.8*56178794.
-44943035.2
-0.3 times 30396599
-9118979.7
Multiply 0.133781 and -12.
-1.605372
-0.2*-37175323
7435064.6
Multiply 49 and -1634.905.
-80110.345
Multiply 0.08 and -6676137.
-534090.96
0.138324*-0.045
-0.00622458
Multiply 3945 and 791.
3120495
-0.4 times 8738671
-3495468.4
Calculate 8*-4.042401.
-32.339208
Work out -0.0722 * -0.0878108.
0.00633993976
Product of 11 and 32153411.
353687521
69.64629 times 0.07
4.8752403
Calculate -302.91*1264.1.
-382908.531
Calculate -144997*-0.4.
57998.8
Multiply 0.2611155 and -3.
-0.7833465
Multiply -86750 and -41.2.
3574100
-0.369851*2.22
-0.82106922
Product of 30 and 11685483.
350564490
Work out 3327 * 107247.
356810769
-1041102 times 26
-27068652
What is 0.1549052 times -1?
-0.1549052
What is -1657.3 times -17.9?
29665.67
577320*-17
-9814440
Multiply -206 and 0.369647.
-76.147282
What is the product of 291 and 437.67?
127361.97
Calculate 20*-422157.4.
-8443148
-1316165 * -0.06
78969.9
Work out -26 * 2482779.
-64552254
Product of -0.009979 and 0.2505.
-0.0024997395
Calculate -381*-2188.3.
833742.3
What is 34545.069 times -0.3?
-10363.5207
What is 5.5 times 0.097633?
0.5369815
-0.5 * -160.769599
80.3847995
-5500 times 2140
-11770000
-1965 times -4937
9701205
What is the product of 40792 and 0.03?
1223.76
0.4 * 168157.35
67262.94
Calculate 2379.53*-38.6.
-91849.858
Multiply -134.4889 and 0.3.
-40.34667
What is 0.673 times -1133?
-762.509
27348.149 * 0.7
19143.7043
What is the product of 2 and -11063151.7?
-22126303.4
Work out 116 * -4521.784.
-524526.944
What is 0.4 times -246.42559?
-98.570236
Calculate -840*113.47.
-95314.8
Calculate -105*237921.
-24981705
95054 * -31
-2946674
1312 * 0.03166
41.53792
172 times 952879.6
163895291.2
-0.6*1310485.7
-786291.42
What is the product of -2176.37814 and 5?
-10881.8907
-1.8866424*0.3
-0.56599272
-14867 * 53
-787951
What is -0.2 times -7.2144873?
1.44289746
Product of 17078 and 0.938.
16019.164
1900.72 * 15
28510.8
Product of 0.89 and 1118667.
995613.63
Multiply -6.31 and 4945.
-31202.95
What is the product of -14 and 0.08792384?
-1.23093376
What is the product of -0.046 and 115.585?
-5.31691
0.2 * -1974780
-394956
Multiply 3173 and -2433.
-7719909
Calculate -1410674.8*0.5.
-705337.4
Product of -177052218 and 0.2.
-35410443.6
Work out -0.046117 * 60.
-2.76702
What is -0.3 times 2802.203?
-840.6609
Multiply -3216700 and 8.
-25733600
Calculate 0.1*4.51065.
0.451065
Product of 11051 and -874 | {
"pile_set_name": "DM Mathematics"
} |
*v**2 + 12*v + 378
What is the y'th term of -942, -3434, -7530, -13236, -20558, -29502, -40074?
-y**3 - 796*y**2 - 97*y - 48
What is the f'th term of -101, -181, -255, -323, -385, -441, -491?
3*f**2 - 89*f - 15
What is the p'th term of 372, 619, 866, 1113, 1360?
247*p + 125
What is the a'th term of -12220, -24538, -36856, -49174, -61492?
-12318*a + 98
What is the q'th term of 1446, 1401, 1342, 1263, 1158?
-q**3 - q**2 - 35*q + 1483
What is the x'th term of -1148, -1422, -1696, -1970, -2244?
-274*x - 874
What is the z'th term of -59, -434, -1447, -3416, -6659, -11494, -18239, -27212?
-53*z**3 - z**2 - z - 4
What is the t'th term of -146896, -146903, -146912, -146923?
-t**2 - 4*t - 146891
What is the b'th term of -789, -709, -545, -255, 203, 871?
7*b**3 + 31*b - 827
What is the y'th term of 10625, 42653, 96041, 170795, 266921?
y**3 + 10674*y**2 - y - 49
What is the f'th term of 252, 2101, 7128, 16923, 33076?
265*f**3 - f**2 - 3*f - 9
What is the x'th term of -84725, -169444, -254163?
-84719*x - 6
What is the n'th term of 956, 951, 946, 941, 936?
-5*n + 961
What is the r'th term of -1237, -1195, -1151, -1105, -1057, -1007?
r**2 + 39*r - 1277
What is the c'th term of 2156, 4372, 6626, 8918, 11248?
19*c**2 + 2159*c - 22
What is the q'th term of -567843, -567844, -567845, -567846, -567847, -567848?
-q - 567842
What is the t'th term of 2896, 2832, 2780, 2746, 2736, 2756, 2812?
t**3 - 71*t + 2966
What is the i'th term of 2209616, 2209618, 2209620?
2*i + 2209614
What is the b'th term of -13877, -13894, -13911?
-17*b - 13860
What is the m'th term of 462, 1895, 4296, 7659, 11978, 17247?
-m**3 + 490*m**2 - 30*m + 3
What is the f'th term of 24345, 24360, 24375?
15*f + 24330
What is the b'th term of 4780, 4778, 4776?
-2*b + 4782
What is the b'th term of -1733, -1728, -1705, -1652, -1557, -1408, -1193, -900?
2*b**3 - 3*b**2 - 1732
What is the c'th term of -290093, -290094, -290095, -290096, -290097, -290098?
-c - 290092
What is the r'th term of -44926, -44933, -44952, -44989, -45050, -45141, -45268?
-r**3 - 44925
What is the h'th term of -56879, -227517, -511915, -910073, -1421991, -2047669, -2787107?
-56880*h**2 + 2*h - 1
What is the b'th term of 195, 274, 379, 522, 715, 970, 1299, 1714?
2*b**3 + b**2 + 62*b + 130
What is the g'th term of -5711, -11434, -17159, -22886, -28615?
-g**2 - 5720*g + 10
What is the u'th term of -3523300, -3523301, -3523302, -3523303, -3523304, -3523305?
-u - 3523299
What is the o'th term of 9263, 18370, 27477?
9107*o + 156
What is the x'th term of -72, -243, -522, -903, -1380, -1947, -2598?
x**3 - 60*x**2 + 2*x - 15
What is the k'th term of 1308, 3193, 5078, 6963?
1885*k - 577
What is the z'th term of 96, 371, 822, 1443, 2228, 3171?
-z**3 + 94*z**2 + 3
What is the f'th term of 4285, 4276, 4267?
-9*f + 4294
What is the l'th term of 448261, 448264, 448269, 448276, 448285, 448296, 448309?
l**2 + 448260
What is the w'th term of -117, -218, -325, -438, -557, -682?
-3*w**2 - 92*w - 22
What is the k'th term of -1935, -1947, -1985, -2061, -2187, -2375, -2637?
-2*k**3 - k**2 + 5*k - 1937
What is the y'th term of -1023, -1192, -1361, -1530, -1699, -1868?
-169*y - 854
What is the t'th term of 4061, 4121, 4181, 4241?
60*t + 4001
What is the a'th term of -18734, -18730, -18724, -18716, -18706, -18694?
a**2 + a - 18736
What is the j'th term of 33830, 67679, 101540, 135419, 169322, 203255, 237224?
j**3 + 33842*j - 13
What is the r'th term of 1631, 6509, 14645, 26045, 40715?
r**3 + 1623*r**2 + 2*r + 5
What is the n'th term of 398545, 398548, 398551, 398554, 398557?
3*n + 398542
What is the b'th term of 678, 1260, 1842?
582*b + 96
What is the m'th term of -61091, -122185, -183279?
-61094*m + 3
What is the z'th term of 267, 478, 555, 432, 43, -678, -1797?
-11*z**3 - z**2 + 291*z - 12
What is the h'th term of 9387, 37511, 84369, 149961, 234287, 337347, 459141?
9367*h**2 + 23*h - 3
What is the h'th term of -8096603, -8096601, -8096599, -8096597, -8096595?
2*h - 8096605
What is the o'th term of -178, -269, -386, -517, -650?
2*o**3 - 25*o**2 - 30*o - 125
What is the i'th term of -682, -1365, -2048, -2725, -3390, -4037, -4660?
i**3 - 6*i**2 - 672*i - 5
What is the l'th term of 371, 709, 987, 1175, 1243, 1161, 899?
-5*l**3 + 373*l + 3
What is the l'th term of 206, 786, 1726, 3020, 4662?
-l**3 + 186*l**2 + 29*l - 8
What is the a'th term of 293, 630, 1003, 1418, 1881?
a**3 + 12*a**2 + 294*a - 14
What is the i'th term of -107, -247, -457, -773, -1231, -1867, -2717, -3817?
-6*i**3 + i**2 - 101*i - 1
What is the t'th term of -2092, -2087, -2088, -2095, -2108, -2127, -2152?
-3*t**2 + 14*t - 2103
What is the g'th term of 5520, 6652, 7784, 8916, 10048, 11180?
1132*g + 4388
What is the w'th term of 14228, 28457, 42686, 56915, 71144?
14229*w - 1
What is the o'th term of 3351, 6714, 10097, 13506, 16947, 20426, 23949, 27522?
o**3 + 4*o**2 + 3344*o + 2
What is the y'th term of 299, 672, 1045, 1418, 1791, 2164?
373*y - 74
What is the h'th term of 17, 132, 329, 608?
41*h**2 - 8*h - 16
What is the i'th term of 7369, 14711, 22041, 29353, 36641, 43899, 51121, 58301?
-i**3 + 7349*i + 21
What is the s'th term of -1430, -5747, -12952, -23051, -36050?
-s**3 - 1438*s**2 + 4*s + 5
What is the f'th term of -28, -349, -1208, -2869, -5596, -9653, -15304?
-44*f**3 - 5*f**2 + 2*f + 19
What is the s'th term of -21105542, -21105537, -21105520, -21105485, -21105426, -21105337, -21105212, -21105045?
s**3 - 2*s - 21105541
What is the b'th term of 22013, 44032, 66051, 88070, 110089, 132108?
22019*b - 6
What is the b'th term of 68, 124, 222, 380, 616, 948, 1394?
3*b**3 + 3*b**2 + 26*b + 36
What is the p'th term of 3616, 28892, 97500, 231106, 451376, 779976, 1238572?
3611*p**3 - p + 6
What is the v'th term of -30808, -61633, -92478, -123343, -154228?
-10*v**2 - 30795*v - 3
What is the a'th term of 3016, 3180, 3458, 3850, 4356?
57*a**2 - 7*a + 2966
What is the n'th term of 67765, 67770, 67775?
5*n + 67760
What is the w'th term of 7465, 7488, 7511, 7534?
23*w + 7442
What is the l'th term of -1695, -1730, -1753, -1758, -1739, -1690, -1605, -1478?
l**3 - 42*l - 1654
What is the f'th term of 41329, 82696, 124067, 165442?
2*f**2 + 41361*f - 34
What is the j'th term of -180, -265, -350, -435, -520, -605?
-85*j - 95
What is the s'th term of 205, 469, 915, 1543, 2353?
91*s**2 - 9*s + 123
What is the x'th term of -7451, -14911, -22373, -29837, -37303?
-x**2 - 7457*x + 7
What is the j'th term of 2635, 5530, 8687, 12106, 15787?
131*j**2 + 2502*j + 2
What is the z'th term of -47, -57, -27, 49, 177, 363, 613, 933?
z**3 + 14*z**2 - 59*z - 3
What is the o'th term of 16739, 66952, 150639, 267800?
16737*o**2 + 2*o
What is the r'th term of 22571, 45177, 67783, 90389?
22606*r - 35
What is the r'th term of -2952, -5988, -9024, -12060?
-3036*r + 84
What is the o'th term of -417, -1708, -3887, -6978, -11005, -15992, -21963, -28942?
-4*o**3 - 420*o**2 - 3*o + 10
What is the n'th term of -285, -772, -1409, -2196, -3133, -4220, -5457?
-75*n**2 - 262*n + 52
What is the q'th term of 4492, 8971, 13450, 17929?
4479*q + 13
What is the f'th term of -131, -67, 29, 163, 341?
f**3 + 10*f**2 + 27*f - 169
What is the j'th term of 699, 1375, 2001, 2553, 3007, 3339?
-4*j**3 - j**2 + 707*j - 3
What is the d'th term of -5949, -11725, -17501, -23277, -29053?
-5776*d - 173
What is the l'th term of 468, 986, 1504, 2022?
518*l - 50
What is the t'th term of -8735, -8789, -8843, -8897, -8951, -9005?
-54*t - 8681
What is the j'th term of -968, -961, -924, -845, -712, -513?
2*j**3 + 3*j**2 - 16*j - 957
What is the n'th term of 40778, 40777, 40776?
-n + 40779
What is the k'th term of -606, -2367, -5302, -9411?
-587*k**2 - 19
What is the m'th term of -27984, -27990, -27996, -28002, -28008, -28014?
-6*m - 27978
What is the b'th term of -1123, -956, -777, -580, -359?
b**3 + 160*b - 1284
What is the u'th term of 89115, 178234, 267353, 356472?
89119*u - 4
What is the m'th term of 766671, 1533341, 2300011?
766670*m + 1
What is the j'th term of -7117, -7134, -7163, -7210, -7281, -7382, -7519?
-j**3 - 10*j - 7106
What is the t'th term of -63968, -127921, -191874, -255827, -319780?
-63953*t - 15
What is the s'th term of 230817, 230805, 230777, 230727, 230649, 230537, 230385, 230187?
-s**3 - 2*s**2 + s + 230819
What is the o'th term of -7291, - | {
"pile_set_name": "DM Mathematics"
} |
-m**3 - 3*m**2 - 2*m + 2. Let i be b(o). Solve z - 1 + i = 0 for z.
-1
Let n(q) = 3*q - 5. Let d be n(4). Let f = 9 - d. Solve p + 0*p + f = 0 for p.
-2
Let f(s) = s**2 + 4*s**3 - 2*s**3 - 4*s + 3 - 4*s**2. Let u be f(3). Suppose -u = -5*i + 4*z, 2*i - 5*i + 15 = -z. Solve -2*k - 8 = -i*k for k.
2
Let p(x) = -4*x**3 - 4*x**2 - x**3 + 5 + 6*x**3 + 2*x**2 - 7*x. Let v be p(4). Solve -2*d - v = -1 for d.
-4
Let f(p) = p**3 + 4*p**2 - 7. Let d be f(-5). Let m be 6/21 - d/(-14). Let u be 0/(m - (-3 + -1)). Solve 2 = -q - u for q.
-2
Let q(m) = -3*m - 3. Let g be q(-3). Let p be 4/g + 4/(-6). Let s(b) = -b + 3. Let k be s(0). Solve 0 = l - p*l - k for l.
3
Suppose -w = 2 + 1. Let q = w + 6. Solve q*f + 6 = -0 for f.
-2
Suppose 17 + 7 = 4*h. Solve h*p - p = 10 for p.
2
Let l(b) = 11*b**2 + 4*b + 3. Let w(q) = 11*q**2 + 5*q + 4. Let m(n) = 4*l(n) - 3*w(n). Let g be m(-1). Let t be 6/g + (-12)/20. Solve r + 3*r = t for r.
0
Let v be (-5)/15 + (-26)/(-6). Suppose -2*t - 10 = -3*t. Solve -t = n + v*n for n.
-2
Let w(b) = b**2 + 17*b - 16. Let u be w(-18). Solve 1 = u*x - 5 for x.
3
Let m(w) = -w**2 + 9*w - 8. Let v be m(8). Suppose 15 = 5*t - 5*c, v = -2*t - 2*c - 2 + 20. Suppose -3*o - 15 = -t*o. Solve 0 = o*s + 12 + 13 for s.
-5
Suppose 9 = -3*b - 9. Let y(f) = 13*f**2 - 3*f - 3. Let c(w) = -7*w**2 + 2*w + 2. Let k(t) = 11*c(t) + 6*y(t). Let z be k(b). Solve 3*v - 1 = -z for v.
-5
Suppose -63 + 7 = -14*h. Solve -h*j + 1 = 17 for j.
-4
Let j(q) = q**2 - q - 2. Let w be j(4). Let v = w - 4. Suppose 0 = -i + v*i - 10. Solve -i*b = -4*b - 8 for b.
-4
Let w be (12/18)/(16/(-6))*-68. Solve -5*q = 3 + w for q.
-4
Let y be (-37)/(-7) + 8/(-28). Let i = y + -2. Let q = i + -3. Solve q = -2*n + 2 - 0 for n.
1
Suppose -10 = -2*i, 33 - 6 = k + 4*i. Solve 2*d = -1 - k for d.
-4
Let f be (-6)/10 + 185/(-25). Let a be (f - -12) + (0 - 0). Solve 2*o + 2 = a*o for o.
1
Suppose 2*m + 2*k + 20 = -2*k, -3*k = -3*m + 15. Solve m = 2*t + t for t.
0
Suppose -2 = -3*t + 2*b + 4, -2*t + 4*b = -4. Let d be (156/65)/(t/5). Solve -y + d = 2 for y.
4
Let n(x) = x**2 + 19. Suppose -y + 5 = -2*y, 5*y = -2*o - 25. Let i be n(o). Suppose 0 = 4*h - i - 1. Solve -h*t = -t for t.
0
Let s = -33 - -61. Suppose -s = -5*c + 3*d, -4*c - 4*d = d - 15. Suppose -9 = -h - c. Solve 3*i - i = -h for i.
-2
Suppose 0 = -4*x - 23 + 279. Let z be x/10 + 2/(-5). Solve 3*m + z = -0*m for m.
-2
Let t(w) = -w**3 - w**2 - 3*w - 7. Let x be t(-3). Suppose 4*p + p = x. Solve -21 + 9 = -p*o for o.
3
Suppose n + 22 = 6*n + s, 5*s = -n + 14. Solve 2*y + n = -6 for y.
-5
Let k be (1/3)/(3/45). Solve 7*z - k = 2*z for z.
1
Let r = -206 + 550. Let g be r/44 - (-2)/11. Solve 2*a = -0*a + g for a.
4
Let j(m) = 16*m + 11. Let q be j(4). Suppose 5*r + 20 = q. Solve -1 + r = -5*y for y.
-2
Suppose 0 = -2*r + 4. Let w be 7 + 2 - (r + 1). Solve 3*d + 21 = w for d.
-5
Let f = 1 - -1. Suppose -f*v = -3 - 1. Suppose 4 = 3*g - v*g. Solve 0 = w - g + 2 for w.
2
Let h(v) = -v**3 - 4*v**2 + 4*v + 1. Let r be h(-5). Let l be 2/r - 2/6. Solve l*c = c for c.
0
Suppose -5 = -2*q - 1. Solve 0*w - 6 = q*w for w.
-3
Suppose 0*f = 5*f - n + 15, 2*f + 13 = -n. Let s = f + 9. Let j be 10/(-8)*(-16 + 0). Solve -j - 5 = -s*u for u.
5
Let q(h) = h + 4. Let f be q(-4). Suppose 5*i + 1 = 4*i - 2*a, -3*i - a = -22. Let j be 2*(-2)/((-12)/i). Solve -6 = j*c - f for c.
-2
Let g(l) = l**2 - 12*l + 13. Let o be g(11). Solve -o*q + 3*q = 0 for q.
0
Let u(o) = o + 14. Let h be u(-10). Solve -5*c + 1 = -h for c.
1
Suppose 2*j + 2*g - 8 = 0, -4*g = 5*j - 11 - 5. Suppose y + 0*y = j. Solve -q = -y*q + 5 for q.
-5
Let w be (-19 - 1)*(-1)/2. Let l(p) = -2*p - 10. Let r be l(-7). Suppose -n + 6*n - 2*c - 24 = 0, r*c - 42 = -5*n. Solve n*u - 4*u + w = 0 for u.
-5
Let t = 6 + -2. Suppose 3 = -z + d, -4*z - t*d + 2 = -10. Solve -3*n + 8*n - 25 = z for n.
5
Let z be (8/20)/((-2)/(-20)). Let i(h) = -h**2 + 4*h. Let x be i(z). Solve x = 3*r + 1 + 2 for r.
-1
Suppose -4*k + m = -17, -3*k - 8*m = -3*m - 30. Let n = 16 - 11. Suppose n*o + p - 6 = -2*p, 24 = 3*o - 5*p. Solve -o*t - k = -2*t for t.
-5
Let a be 4 + ((-20)/(-4) - (-3 + 1)). Solve 3*g - 2 = -a for g.
-3
Let d = -3 - -3. Solve d = -2*a + 6*a + 16 for a.
-4
Suppose 7*s - 8*s - 13*s = 0. Solve s = -4*a + 5 - 13 for a.
-2
Let l(v) = -v**3 + 4*v**2 + 11*v + 8. Let d be l(6). Solve -2*b + 16 = d*b for b.
4
Let l(d) = d**2 + 2*d - 1. Let f be l(-3). Let y be f + 0/(-2) - -18. Suppose -3*k + y = k. Solve -k*u = -u for u.
0
Let n = 58 + -48. Solve -n*j = -6*j for j.
0
Let s(f) = f**3 + 4*f**2 - 8*f - 5. Let b be s(-5). Solve -5*z + 0*z = -b for z.
2
Suppose 5*d - 19 = i, 0 = 2*i + i + 2*d - 11. Solve i = 2*n - 5 for n.
3
Suppose -5*v + 0 + 10 = 0. Solve 0*a + a + v = 0 for a.
-2
Suppose 0 = -5*v + 2*z + 15, 6 = 3*v - v - 3*z. Solve v*y - 2 = -5 for y.
-1
Let f(d) = -d**3 + 12*d**2 - 12*d + 16. Let w be f(11). Suppose -25 = -5*b, -b - 9 = -0*m - 2*m. Suppose 5 = -2*z + m*z. Solve -2*h - z = w for h.
-3
Suppose -l = 5*y - 13, 2*l + l + 4*y = 72. Solve l = -4*m + 12 for m.
-4
Suppose -4*s + 48 = 5*c - s, -s + 1 = 0. Solve -4*m + c = -11 for m.
5
Suppose 90*f - 95*f = -45. Solve 2*w + f = -1 for w.
-5
Let x(c) = 4*c**2 - 47*c - 7. Let g be x(12). Solve g*h - 2*h = 15 for h.
5
Let k = -8 + 1. Let l be -8 - k - 3*-1. Solve 4*s + 6 = l*s for s.
-3
Let w be ((-4)/6)/((-1)/6). Let a be ((-6)/w)/(3/(-4)). Solve -d + 3 = -a for d.
5
Suppose j = 4 + 26. Suppose j = 5*a - 0. Let l = a - 4. Solve -y + l*y = 3 for y.
3
Suppose 5*w - w = 4. Solve 2*l - w - 1 = 0 for l.
1
Suppose 4*b + 45 + 3 = 0. Let q be 15/(-2)*b/10. Solve 0 = 4*l - q - 3 for l.
3
Suppose -5*s = 5*w - 30, s - 6 = -0*s - 5*w. Let l = -4 + s. Solve -l*n - 4 = -0 for n.
-2
Let v be (-12)/8 - (-21)/12*2. Solve 0 = -v*u - 6 - 2 for u.
-4
Suppose -9*f + 6*f = 6. Let s = f - -6. Solve n = 2*n - s for n.
4
Let q(n) = -4 + 10 + 3*n - 4*n. Let p be q(0). Suppose c = 3*c - p. Solve 0*a + a = -c for a.
-3
Let m(l) = -4*l + 15. Let s be m(3). Solve -s*f = f + 12 for f.
-3
Let d(t) = t**3 + 7*t**2 - t - 9. Let s be d(-7). Let j be -1*0/(s/1). Suppose j*n - 24 = -4*n. Solve 6 + n = 4*g for g.
3
Let z be 2 + (-4*1)/2. Suppose z = -0*r - 5*r. Suppose 3*c - 11 = 1. Solve r = -3*v - v - c for v.
-1
Let h = 43 + -39. Solve -o + h = -0*o for o.
4
Let p = 36 - 32. Solve 0 = 4*o - p - 12 for o.
4
Let a = 10 + -3. Solve 0 = -3*p + a*p + 20 for p.
-5
Suppose 2*p + 12 = -4*y + 6*p, 2*y + 5*p = 29. Solve -f = y*f - 9 for f.
3
Suppose -3*y = 2*y. Let t(a) = -4*a + 3*a - a**3 + 4*a**2 - 4 + y. Let m be t(3). Solve 0 = -m*c - 2 - 6 for c.
-4
Let x be 238/(-28) + 2/4. Let i be 2/4*0 + -11. Let c = x - i. Solve z - c = -6 for z.
-3
Let m(h) = -h - 4. Let v be m(-10). Solve 4 = 2*o + v for o.
-1
Let j(p) be the first derivative of p**4/4 - 4*p**3/3 - 2*p**2 - 6*p - 2. Let t be j(5). Let x be t/((-1 + -1)/4). Solve 3 + 3 = x*i for i.
3
Let p(a) = a + 8. Let x be p(-7). Let b be -2 - (x + -2 - 2). Solve b + 0 = c for c.
1
Let m be 10 - (5 - (-6)/(-3)). Solve -4*w = m + 13 for w.
-5
Let v be -1*23*(5 + -6). Suppose -5*k + 7 = -v. Let z(o) = 2*o**2 - o - 1. Let r be z(2). Solve -j - r = -k*j for j.
1
Let p = -5 + -5. Let f = -10 - p. Solve f*d - d = -4 for d.
4
Let h(w) = -w**3 + 9*w**2 + w - 5. Let f be h(9). Suppose 2 + 1 = n. Let r = -3 + 5. Solve -r*t - f = -n*t for t.
4
Suppose t + 6 = -0. Let m be (-8)/t*(-9)/(-2). Suppose 4*g + 2*b = 4*b - m, -2*b + 6 = -g. Solve -c + 3*c = g for c.
0
Let i be (-1 - -4) + 1*7. Let t = i + -11. Let n = 4 + t. Solve -n*v + 8*v = -10 for v.
-2
Let h(b) be the third derivative of b**6/120 - b**5/15 + b**4/6 + b**3/6 - b**2. Let k be 2 + (-1 + -1 - -3). Let m be h(k). Solve 0 = -5*o + m*o - 2 for o.
-2
Suppose -5*h - 2 = -4*h, 4*b = -3*h + 22. Suppose 0 = 4*p - b*p. Solve -5*o + 4*o - 3 = p for o.
-3
Suppose 4*l = 5*l - 3*o - 24, -3*l = 5*o - 44. Let b = l + -13. Suppose 27 - 7 = b*y. Solve -y*h = -7 - 5 for h.
3
Suppose 36 = -2*t + 6*t. Let y = 9 - t. Solve 25 = 5*u - y*u for u.
5
Suppose z + 12 = -2*z, -3*c + 199 = -z. Let k = -25 + c. Let m be (1/2)/(2/k). Solve -4*a - m = a for a.
-2
Suppose -5*j + 5*p = 25, j + p + 0*p = 5. Solve -10 = -5*z - j for z.
2
Suppose 3*b - 8 = -p + 4*b, -b = -5*p + 32. Let g be ((-8)/6)/(1/(-3)). Solve -g*f = -f - p for f. | {
"pile_set_name": "DM Mathematics"
} |
when three letters picked without replacement from jhtajrr.
1/35
Two letters picked without replacement from {u: 6, w: 2}. What is prob of picking 1 w and 1 u?
3/7
Calculate prob of picking 2 j when two letters picked without replacement from {w: 1, g: 3, j: 12}.
11/20
Three letters picked without replacement from {r: 2, f: 5, u: 6}. Give prob of picking 2 r and 1 u.
3/143
What is prob of picking 1 i and 1 m when two letters picked without replacement from mimmmmmiimm?
24/55
Calculate prob of picking 1 u, 1 s, and 1 t when three letters picked without replacement from {x: 2, t: 1, k: 3, w: 5, s: 1, u: 1}.
1/286
Three letters picked without replacement from {h: 7, n: 2, e: 8, x: 1, t: 1}. Give prob of picking 3 e.
56/969
Two letters picked without replacement from gllwwlllwlbkbl. Give prob of picking 1 w and 1 g.
3/91
What is prob of picking 2 f when two letters picked without replacement from {n: 10, f: 9}?
4/19
Calculate prob of picking 1 v, 2 q, and 1 x when four letters picked without replacement from vvxvkxxxqvqxxvkkxvq.
21/646
What is prob of picking 4 w when four letters picked without replacement from wwwwwwwww?
1
Three letters picked without replacement from {m: 8, d: 2, q: 2, h: 3}. What is prob of picking 1 q and 2 d?
2/455
Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {n: 1, i: 2, r: 2}.
1/5
Three letters picked without replacement from zzzzzzz. Give prob of picking 3 z.
1
Two letters picked without replacement from {y: 1, l: 4, b: 2}. What is prob of picking 1 b and 1 l?
8/21
Three letters picked without replacement from bzlhhblzzbbzbzl. What is prob of picking 2 h and 1 l?
3/455
Four letters picked without replacement from {k: 3, m: 1, f: 6, y: 4}. Give prob of picking 1 y, 2 k, and 1 m.
12/1001
Calculate prob of picking 1 o and 1 e when two letters picked without replacement from eefooeoo.
3/7
What is prob of picking 2 f and 1 j when three letters picked without replacement from {f: 9, j: 7}?
9/20
Three letters picked without replacement from yizyyzjzyzi. What is prob of picking 1 i, 1 y, and 1 j?
8/165
What is prob of picking 1 q and 1 c when two letters picked without replacement from aaqcaaaqaaawwccq?
3/40
Two letters picked without replacement from mhmmxwxcxmuuxcc. Give prob of picking 1 u and 1 m.
8/105
Three letters picked without replacement from txptopxtxux. What is prob of picking 2 t and 1 p?
2/55
Three letters picked without replacement from {a: 4, h: 3, b: 9}. What is prob of picking 1 a and 2 b?
9/35
Three letters picked without replacement from {m: 2, q: 3, b: 4, y: 1, a: 4, k: 1}. What is prob of picking 1 b and 2 a?
24/455
What is prob of picking 2 h and 1 r when three letters picked without replacement from hhhhhrhrrhrrr?
63/143
What is prob of picking 2 a when two letters picked without replacement from {d: 3, m: 1, a: 1}?
0
Calculate prob of picking 1 i, 1 j, 1 o, and 1 q when four letters picked without replacement from eeiequejeoe.
1/330
Three letters picked without replacement from {a: 2, o: 11}. Give prob of picking 2 a and 1 o.
1/26
What is prob of picking 3 t when three letters picked without replacement from {t: 10, g: 2}?
6/11
What is prob of picking 1 y and 1 p when two letters picked without replacement from {p: 1, h: 1, y: 2, z: 1, f: 2}?
2/21
Calculate prob of picking 4 j when four letters picked without replacement from jhhjjhjhjjjjhjjjjhh.
165/1292
Calculate prob of picking 2 d and 2 h when four letters picked without replacement from {q: 2, d: 1, b: 5, h: 1}.
0
Calculate prob of picking 1 a and 1 x when two letters picked without replacement from eeeaexeaeaaeaeaaxed.
14/171
Calculate prob of picking 2 y when two letters picked without replacement from {x: 6, y: 2, n: 5, s: 2, z: 1, r: 3}.
1/171
Calculate prob of picking 2 p and 2 f when four letters picked without replacement from {g: 4, p: 3, f: 7}.
9/143
Calculate prob of picking 2 q and 1 r when three letters picked without replacement from qqqrrqqqrqrqqqqrqqq.
455/969
What is prob of picking 2 q when two letters picked without replacement from {n: 13, q: 3}?
1/40
Two letters picked without replacement from zzbxbbbx. What is prob of picking 1 z and 1 b?
2/7
Four letters picked without replacement from {b: 3, r: 11}. What is prob of picking 2 r and 2 b?
15/91
Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {l: 1, w: 2, x: 1, t: 2, k: 1}.
2/21
What is prob of picking 2 x and 1 k when three letters picked without replacement from {e: 1, k: 2, t: 1, x: 2, r: 2}?
1/28
What is prob of picking 1 n and 2 v when three letters picked without replacement from nvvvnvvvvvv?
24/55
Calculate prob of picking 3 d when three letters picked without replacement from dxdddxdd.
5/14
Two letters picked without replacement from iikiikiikkiiikkk. Give prob of picking 2 k.
7/40
Calculate prob of picking 2 t when two letters picked without replacement from {f: 4, t: 2}.
1/15
Two letters picked without replacement from {i: 2, n: 3}. Give prob of picking 2 i.
1/10
What is prob of picking 1 b and 1 w when two letters picked without replacement from {b: 2, w: 5, u: 5, q: 5}?
5/68
What is prob of picking 1 m, 1 q, and 1 i when three letters picked without replacement from qmiiimmi?
3/14
Calculate prob of picking 1 h and 1 m when two letters picked without replacement from mhh.
2/3
Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, a: 1, e: 2, k: 1}.
1/15
Three letters picked without replacement from qdqd. What is prob of picking 2 q and 1 d?
1/2
Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {o: 2, y: 3, q: 7, g: 3, z: 5}.
9/190
Calculate prob of picking 1 g, 1 s, 1 l, and 1 q when four letters picked without replacement from lilsgoq.
2/35
What is prob of picking 2 x when two letters picked without replacement from {o: 3, g: 2, x: 3}?
3/28
Two letters picked without replacement from tjtrjrurttj. What is prob of picking 1 j and 1 u?
3/55
Two letters picked without replacement from {g: 2, z: 1, w: 4, b: 1}. Give prob of picking 1 g and 1 b.
1/14
What is prob of picking 2 c and 1 j when three letters picked without replacement from {j: 4, c: 2, g: 10}?
1/140
Calculate prob of picking 1 j and 1 e when two letters picked without replacement from wqejjejjw.
2/9
What is prob of picking 2 p and 1 q when three letters picked without replacement from {z: 1, k: 1, p: 2, q: 1}?
1/10
Four letters picked without replacement from {z: 7, h: 2}. What is prob of picking 1 h and 3 z?
5/9
Calculate prob of picking 1 s and 3 c when four letters picked without replacement from {z: 5, a: 1, c: 3, s: 4}.
4/715
Two letters picked without replacement from wwhllhllwlghhl. What is prob of picking 1 w and 1 g?
3/91
Two letters picked without replacement from ssssssvssvsssvvssv. Give prob of picking 1 s and 1 v.
65/153
What is prob of picking 1 c and 1 m when two letters picked without replacement from {c: 1, w: 5, i: 1, m: 3}?
1/15
Three letters picked without replacement from vveefveeeevvevjv. Give prob of picking 1 e and 2 v.
21/80
Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {i: 1, y: 1, s: 1, o: 1, t: 1, g: 2}.
1/21
Two letters picked without replacement from {d: 8, c: 1, u: 4, m: 2}. Give prob of picking 1 d and 1 u.
32/105
Three letters picked without replacement from ddldgguuuguulglitd. What is prob of picking 1 l and 2 g?
3/136
Calculate prob of picking 2 z and 2 c when four letters picked without replacement from {c: 7, n: 2, z: 2}.
7/110
Three letters picked without replacement from iqijjqqjqqkqkqq. Give prob of picking 1 q, 1 j, and 1 k.
48/455
What is prob of picking 2 f and 1 a when three letters picked without replacement from {f: 5, a: 2}?
4/7
Two letters picked without replacement from rrrrrrrrrr. What is prob of picking 2 r?
1
Two letters picked without replacement from mkkiiikikikiki. What is prob of picking 1 i and 1 m?
1/13
Three letters picked without replacement from nnnnn. What is prob of picking 3 n?
1
Calculate prob of picking 2 k when two letters picked without replacement from {k: 10, h: 10}.
9/38
Four letters picked without replacement from prcrccrrrrppcrcrprr. Give prob of pi | {
"pile_set_name": "DM Mathematics"
} |
-23
What is 0 + (36 + (3 - 1) - (-49 + -10 - -59))?
38
(-42 - (-34 + -39 + 14)) + (1 - -46)
64
-1 - 0 - 27 - (25048 - 24998)
-78
Evaluate -1 - (109 - -1) - (-139 - (-123 - 9)).
-104
What is the value of 1 + 2 + -17 + (332 - 140) + -220?
-42
What is the value of 1 + 11 + (1 - 0) - (27032 - 26981)?
-38
79 + 0 - (37653 - 37524)
-50
-18 + ((-9 - 1) + -1 - (-1502 + 1502))
-29
Evaluate -26 + -1 + 0 + -1 - ((112 - 31) + -80).
-29
Calculate -23 - 1 - (41 - ((-49 - -22) + 57)).
-35
What is -109 + -12 - (0 - 1 - -20 - 6)?
-134
Calculate 6 + 21 + (-14 - 1) + (-2 - -35).
45
36 + 2 + -3 - (15 + -40 + 29)
31
Evaluate ((6 - -8) + -9 - 14) + 20.
11
Evaluate -2 + 96 - (-6 - (-1 - 27) - 2).
74
What is (-78 + 156 - 131) + 42?
-11
(8 + -1 - 21) + 21 + -20 + 37 + -46
-22
What is the value of 3524 - 3600 - (-2 - (9 + 1))?
-64
What is 18 - -1 - 36 - (-48 + 3)?
28
What is the value of 36 + 10 + -81 + 20 - (-1 - 25)?
11
What is (-9 - 0) + 8 + 41 - (-12 - (10 - 12))?
50
Evaluate (-49 - -52 - -103) + -1 + -23.
82
(-78 - -137) + -142 - -161
78
What is the value of 73 + -83 + (-4 - 33)?
-47
Calculate -9 + (669 - 665) + (-1 + 5 - (6 + -117)).
110
What is the value of -1 - ((-10 - -3) + 3 - (2 - 1)) - -34?
38
-7 + (-6 - ((-8 - (5 - 7) - -29) + 10))
-46
Evaluate (135 - -27) + -29 - 70.
63
What is (-10 - -30) + -10 + (45 - -14) + 4 + 1?
74
-34 + -40 + (111 - 50)
-13
-2789 + 3007 - (126 - 3)
95
Evaluate (-23 - 25 - -2) + 44.
-2
Evaluate -42 - -3 - (-75 - (30 - 31)).
35
What is (18 + -1 - -5) + -4 + (4 + 4 - -2)?
28
(-24 + 53 - 10) + 1 + -3
17
Evaluate 51 - (-32 + (47 - 0)).
36
What is the value of -10 + (-2 - -4) + 93 + 11 + -13 - -15?
98
Evaluate (1485 - 1510) + 7 + 1.
-17
Calculate 16 - (-16 + 10 + (-25 - -6) + -5).
46
Calculate (-60 - -76) + -137 + 111.
-10
What is the value of (32 - 16) + (15 - 11) - -13?
33
-85 - (103 + (-184 - 66))
62
102 + -115 + (-7 + -19 - -10)
-29
42 + -6 - (43 + -11 + -35)
39
-1 + 1 - ((1 - ((17 - 47) + 52)) + 3)
18
-12 + (5 + 24 + -12 - 6) + (-8 - -8)
-1
Calculate -44 + -82 + (74 - 4).
-56
0 + (-8 - (-2 - -3)) + -208 + 168
-49
What is -187 + 192 + 0 + -32 + 1 + 0?
-26
-6 + (16 - (21 + (11 - 12)))
-10
What is the value of -71 - -7 - -19 - (-3 - ((-6 - -11) + -1))?
-38
(-236 - -233) + 9 + -2 + (4 - 5) + 3
6
Calculate 42 + (-60 - -21) + (11 - -9).
23
Evaluate -50 - (-210 + 233 + -1 + 3).
-75
59 + (79 - 153) - (-8 - 1)
-6
What is -23 - (19 - 3 - (2 - -24))?
-13
What is the value of (9 + -55 - -23) + 9 - 26?
-40
Evaluate 21 - ((-15 - 6) + 5 + 11) - -16.
42
What is the value of 98 + (-52 - -5) + 0?
51
Calculate 1 - (14 - (-132 + 133 - (5 + 0))).
-17
-14 + -4 + -34 + -9 + 27
-34
What is 49 + (80 - 138) + (0 - 10)?
-19
Calculate (4 - (-10 - -11)) + (57 + -1 - -11).
70
What is -73 + 85 + (-1 - -2) - (-19 + 5 + 7)?
20
-107 + 5 + (140 - 86)
-48
What is the value of -6 - (-5 + -39) - (0 + -31)?
69
(35 - -61) + -48 + 3 + (2 - -7)
60
Calculate -2 + -5 - ((-13 - -6) + 7) - 3.
-10
What is the value of 29 + (21 - (18 + (1 + -11 - -1)))?
41
What is -147 + (0 + 4 + 2 - (56 + (46 - 99)))?
-144
Evaluate (1419 - 1395) + (-1 - 75) + 0.
-52
-103 - -69 - (-72 + (7 - 10))
41
398 + -408 + (14 - -45)
49
(-6 + 0 - -11 - 8 - -3) + 31 + 5
36
What is -17 + 16 + -2 + 107 - ((-2 - -17) + -8)?
97
Calculate -31 + 0 - (-1518 + 1473).
14
Evaluate (129 - 65) + -23 + -18.
23
Evaluate -3 + 2 - (9 - (-3 + 3 + 9)).
-1
-43 - (-2 - 138) - 189
-92
Evaluate 13 - (-1 + -2 + -42 + (11 - -43) + -25).
29
What is 74 + -11 + -67 + (4 - 31)?
-31
Calculate (1 - (2 + 127)) + (182 - 211) + 50.
-107
Calculate -21 + 16 + 13 + (47 - (-3 + 4)).
54
Evaluate 20 + 41 + -28 + -101 - 20.
-88
(-4 - -5) + 2 - (14 + 20 + -27)
-4
Evaluate -2 + -41 + 2058 + -2067.
-52
Calculate (113 - 41) + -48 - 53.
-29
Calculate 1 - 0 - -2 - (-5741 - -5701).
43
What is -123 - (137 + 21 + -409)?
128
Calculate 229 + (-314 - -79) - (2 - -20).
-28
What is the value of (44 - 109) + 99 + -1 + -6?
27
Calculate (9 - 4 - 36) + -499 + 503.
-27
What is the value of 78 - (10 + (-25 - (-26 + 23)))?
90
What is (7 - 15) + -5 - 28?
-41
What is 4 + (9 - 5) - (-53 + 30)?
31
19 - (68 - (-24 - (5 + -10)))
-68
What is 208 - (-80 - -133 - -50)?
105
What is 161 + (2 - (-12 + 16 + 5 - 2) - 10)?
146
What is (34 - -5) + (55 - 41 - (9 + -2 + -3))?
49
What is 10 - 1 - (-81 - (79 - 116))?
53
-15 + (-9 - -8) - (12 + -24)
-4
What is -1 - (-26 + (17 - 4) - (-6 + 9))?
15
43 - (-11 - -19 - (0 - -11))
46
What is the value of (21 - (179 - 58)) + 49?
-51
Evaluate -17 + 7 + (1 - (-1 - (-22 + 11)) - 0).
-19
What is 16 + 31 + -85 - (4 + -29)?
-13
What is 2 - -96 - (-10 - (-19 - (-28 - -18)))?
99
Evaluate (26 + -1 - (57 + -42)) + -16.
-6
What is the value of 45 + 4 - 3 - (11 + -33 - -29)?
39
Evaluate (-14 - (-1 - 6) - 5) + (5 - (7 - -26)).
-40
(-15 - -20) + 15 - 68 - -23
-25
What is the value of -76 - -78 - -103 - 125?
-20
Calculate 6 - (-46 - (-18 - (-34 + 4 + 13))).
51
Calculate 7 - (8 + -22) - -2 - 59.
-36
-4 - 1 - (582 + -589)
2
(-50 - -1) + -2 - (193 + (13 - 196))
-61
26 + -29 - (55 + -64 - (-40 + 0))
-34
Calculate -1 + 7 - (-20 - (-20 - -5) - -5) - 46.
-40
What is (-12 - 0) + (-9 - 7 - (-9 + 1))?
-20
What is 1 + -3 + -61 + (4966 - 4939)?
-36
Evaluate -82 + (-105 - -57) + 64.
-66
Evaluate -876 - -840 - (-16 + -2) - (-41 - 1).
24
0 + 0 + -2 + (-46 - -59) - -34
45
Calculate -18 - (-1 - (-5 + 1 + 4)).
-17
What is the value of -49 + (-2 - -2) - (-24 + (31 - (-24 + 25)))?
-55
What is the value of (1403 - 1386) + 71 + (4 - -1)?
93
Evaluate -33 + (55 - (23 + 5) - -4) - (1 - -108).
-111
Evaluate 585 + -583 + (-3 - (-1 + 1) - (-1 + -28)).
28
What is the value of -61 + -62 + 67 + 87?
31
What is 0 + 9 + -15 + (2 + -5 - (134 + -145))?
2
What is the value of 1 + (13 - (32 + -41)) + 23?
46
Evaluate 24 + -46 - -27 - (5 + -4 - (-7 + -49)).
-52
What is the value of (7 - -108) + (-16 - -7) - (-208 + 220)?
94
Calculate 21 - ((3 - 15) + 21 + -28).
40
(-45 - -51 - -37) + (-3 - (-8 - (-1 - -3)))
50
What is 1 + 12 - ((-63 - 114) + 134)?
56
Evaluate (58 - -41) + -144 + (-62 - -1).
-106
(43 - 19 - 57) + 18
-15
Evaluate (6 - ((23 - 7) + -31)) + 19 + 8.
48
(1103 - 1017) + 9 + -35 + 3
63
-80 - (6 + -27 - (-37 - (-6 + -10)))
-80
7 + (-3 - -5 - (3 + (-17 - (12 - 82))))
-47
What is the value of -37 - (72 + -76 + (9 - 3 - 1) + -7)?
-31
Evaluate (-17 + 17 - -1) + 5 + -7 + -2 - 29.
-32
What is (-12 - -15 - (-41 - 5)) + 36 + -23?
62
What is (91 - (187 - 115)) + -53?
-34
What is (3 + -7 - -52) + -3234 + 3248?
62
What is the value of -36 + 22 - (-8 + 1 - (105 + 46 + -11))?
133
Calculate 8 - (-3 - ((13 - 4 - -6) + -15)) - 116.
-105
What is the value of (-18 - (-23 + 11)) + (-18 - -5) - 1?
-20
Evaluate 7 - (-7 - (-1 - (-5 + 20))).
-2
What is -214 + 154 + (-1 - -21) + -19?
-59
What is the value of 9 + -29 + (20 - 18) + 11?
-7
Calculate 475 - 478 - (0 - 2) - -3.
2
What is the value of 23 + -17 + 4 + -15 - (7 - 11)?
-1
What is 80 + -20 + (79 - 207)?
-68
Evaluate 109 - 115 - -3 - (12 - -2).
-17
What is the value of -3 - (1 + -1 + (6 - 4)) - (191 - 179)?
-17
(-1 - 0) + 1 - ((-46 - (-67 - -73)) + 61)
-9
What is the value of (9 - (5 - (-8 + 4))) + -3 + -36 + 3?
-36
What is (5 - 89) + (-56 - -170)?
30
Evaluate -12 - (12 + 0 + -45 + -13).
34
What is the value of 110 - 186 - -85 - (18 + -2 - 3)?
-4
Calculate 68 + -155 + -45 + 141.
9
What is the value of -217 + 240 + (0 - -18) - -4?
45
Calculate (59 + -23 - -4) + -3 + -20 + -29.
-12
Calculate -14 + 12 + -9 - 31.
-42
Calculate -13 + (10 - -1) + 11 - 0 - (-13 - -4).
18
What is (5 - 16) + -9 - -32 - (-10 - (0 + 0))?
22
Calculate (10 - 15) + 56 - (247 + -269).
73
What is the value of (5 - 9) + (85 - 185 - (-5 + 14))?
-113
What is -28 + (17 - (-1 + (-17 - 12)))?
19
What is the value of -53 + 174 + -115 + 72?
78
Calculate 31 + (9 - 28) + 35 + -12.
35
What is -26 - (39 - -2 - 53)?
-14
Evaluate -43 + 46 + (-31 - -71).
43
Calculate 0 + (-17 - -15 - 121) + (22 - 6).
-107
What is -54 + -22 - (-11 + 10 + 8) - -9?
-74
Calculate (-12 - -28) + 4 + 0 + 52 + -80.
-8
What is 64 - 95 - (25 - 4)?
-52
Calculate (51 - -16) + -67 + 43 + -1.
42
Calculate -3 + 0 + -38 + -1 + (-46 - -76 - 35).
-47
What is (-1 + 11 - (59 - 36 - (16 + 2))) + -39?
-34
What is the value of 2 + 2 + 1 + (-25 - (21 - 7)) - 3?
-37
43 + 84 + -238 + 9 + -4
-106
-24 + 53 - (-6 - -91)
-56
Evaluate 40 + (0 + -12 + - | {
"pile_set_name": "DM Mathematics"
} |
20
Let q = 1150264534 - 1628774511467/1416. Let r be 4/(-472)*2/(-24). Let x = q - r. What is the common denominator of -67/20 and x?
20
Let p be -396 - ((-21)/(-2))/7. Suppose 2*x - 399 + 2337 = -5*z, -784 = 2*z + 3*x. Let q = z - p. Calculate the common denominator of q and 97/4.
4
Suppose 96 - 60 = 2*h. Calculate the least common multiple of 12 and h.
36
Suppose -4*b + 52 = 4*c, -5*b - 3*c + 35 = -26. What is the lowest common multiple of 8 and b?
88
Let x be (3/9)/(102/(-3698253)). Let r = -12087 - x. What is the common denominator of r and -15/22?
374
Let m be (0 - 1)/((-393)/75). Let l = m + 5458/917. Find the common denominator of 19/10 and l.
70
Let z be 27310/(-25) + (-6)/10. Let l = z - -17585/16. What is the common denominator of l and -19/10?
80
Let t be (-1)/(-5) - 93/15. Find the common denominator of 950/(-42) + t/(-21) and 121/6.
6
Let x = 608/7 + -5123/56. Let s = 1985/50838 - -11/458. Let b = -2278/333 + s. What is the common denominator of b and x?
72
Suppose 4686 - 1361 = 5*s. Calculate the common denominator of -38 and s/(-150) - 2/5.
6
What is the common denominator of 63/2 and 1 - (100/5)/((-474)/(-15))?
158
Suppose -7*w - 14 = -42. What is the lowest common multiple of (-11)/(-3) - 1/(-3) and w?
4
Calculate the common denominator of -1/2 and (-2)/(-10) + (-174)/20.
2
Let h = 25047 - 501043/20. Find the common denominator of 3/9 - (-19)/(-48) and h.
80
Let a(n) = -n - 2. Let i be a(0). What is the least common multiple of 8 and 2 - ((i - -2) + -2)?
8
Let v = 11 - 7. What is the lowest common multiple of v and 11?
44
Suppose -5*s = -10 - 10. Let h(o) = 2*o**2. Calculate the lowest common multiple of h(1) and s.
4
Let q = -688 + -715. Let o = -5535/4 - q. Calculate the common denominator of o and 0 - (50/12 - -2).
12
Let o be 1 + (-1)/((-1)/14). What is the least common multiple of o/1*(-20)/(-25) and 12?
12
Suppose -3*s + 50 = 2*s. Let v(w) = 2*w - 4. What is the lowest common multiple of v(3) and s?
10
Let u(g) = -14*g - 22. What is the least common multiple of u(-5) and 10?
240
Let l(h) = 6*h - 10 - h**2 + 4 + 4*h. Let s be l(10). Let p = s + 12. What is the least common multiple of 2 and p?
6
Find the common denominator of (-2001)/(-145)*(-5)/32 and -89/10.
160
Let f be (-3 + (-14)/(-6))*-6. Suppose -4*k + 50460 = l + 3*l, 2*l + f*k - 25234 = 0. Let x = 151231/12 - l. Find the common denominator of -33/20 and x.
60
Let n(o) = -9*o**2 + 3*o + 4. What is the common denominator of 11/19 and n(-2)?
19
Suppose 4*d = 3*x + 15, -d - 3*x + 0*x = 0. Suppose -d*g + 51 = 3*t, -91 = -4*g - g - 3*t. Calculate the lowest common multiple of 20 and g.
20
Suppose 21 = b - 5*f, -4*f - 78 = -5*b - 6*f. Suppose -5*d + 4*d + 3*o + 8 = 0, 3*d + o + b = 0. Find the common denominator of -44/5 and 2/d + (-129)/(-42).
35
Suppose 3*z - 5 = -2. Calculate the least common multiple of z and (48/40)/((-6)/(-15)).
3
Let n = 13747823 + 3987973. Let r = n - 1064097773/60. Let j = r + -4201/5. Calculate the common denominator of j and -91/6.
12
Let a = 0 - -1. Suppose 28 = 3*f + 22. What is the smallest common multiple of f and 17/1 + 1/a?
18
Let l = 2644 + -39676/15. What is the common denominator of l and 55/24?
120
Let y = -16 + 23. What is the least common multiple of y and 2?
14
Let n be (-2)/5 + (-48)/(-20). Suppose 3*x = n*x - 1244. Let j = 17405/14 + x. What is the common denominator of j and -73/8?
56
What is the common denominator of -109/40 and 2/11 - (-9540)/528?
40
Let l(n) = -n**2 - 4*n - 7 - 8*n**2 + 3*n**2 + n**3. Calculate the smallest common multiple of (-6)/(-5)*(-3 + 8) and l(7).
42
Find the common denominator of (-4 - 99/(-21))/(12/(-266)) and -61/12.
12
Let g be ((-2)/(-2094))/(25/60). Let d = -38747/3490 + g. Find the common denominator of d and -39/14.
70
Suppose -6 = -4*w + 2. What is the least common multiple of w and 1*-2 - (-6 - -2)?
2
Suppose 4*m - 2*m + 4 = 4*r, 2*m - 6 = -r. Let p = -1556 - -31099/20. Calculate the common denominator of (-3)/(-12)*(-160 + r) and p.
20
Let r = -37 + 12. Let j be ((-12)/(-15))/((-1)/r). Suppose 0 = 4*g - 2*c - j, 3*g - 23 + 3 = -c. Calculate the smallest common multiple of 6 and g.
6
Let s = 23 - -23. Calculate the lowest common multiple of s and 2.
46
What is the least common multiple of 12 and (-3)/9 - 57/(-9)?
12
Suppose -11 - 7 = -3*d. Calculate the lowest common multiple of d and 19.
114
Let c = 299087 - 5381635/18. Let z = 1034/9 - c. Find the common denominator of z and 4 - 2 - 58/36.
18
Let z be (-184)/12*6969098/1808624. Let d = z - 2/113039. Let o = d + 184/3. Find the common denominator of -47/9 and o.
36
Let c(n) = n**3 - 15*n**2 + n - 12. Let l(t) = t + 15. Let s be l(0). What is the lowest common multiple of 6 and c(s)?
6
Suppose 2*a + g + 2*g = 246, 2*g = -4. Calculate the smallest common multiple of a and 10.
630
Let j be (-160)/(-8) - (0 - 0). Suppose x - j = -x. Suppose 4*p + 5*u = -p + 115, p - 29 = -3*u. What is the smallest common multiple of x and p?
20
Let i = 15 - 12. Find the common denominator of 2 + 2/((-20)/14) and (153/(-60))/(i/14).
10
Let t(d) = 5*d + 6. Let j be t(-4). Let g = j + 32. Calculate the least common multiple of 22 and g.
198
Suppose z = -4*z. Suppose -2*w + r = -w + 7, -3*w = 4*r - 14. Calculate the common denominator of -41/9 and ((-51)/w - z) + 2.
18
Suppose 5*p + 25 = 2*j, 4*p + 28 - 8 = 0. Suppose 52 = 4*b - 0*b + 4*x, j = -2*x - 6. Calculate the least common multiple of b and 8.
16
Let a be (-3)/12 - 7381/(-4). Let t be 3 + -4 - a/8. Let j = t - -232. What is the common denominator of 23/4 and j?
8
Let y(z) = 5*z**2 + 4*z - 1. Let i be y(-3). Suppose -i = 5*u + 3. Find the common denominator of u and 31/5.
5
Suppose 5*v - 9 = 16. Let l be 8710/(-4) + v/10. Let y = l + 4259/2. Find the common denominator of 49/5 and y.
10
Let t be (-3)/(11/(-4) + 3). Find the common denominator of 9/2 and (-27)/t*(-10)/11.
22
Let q be (-919)/3 - 2/(-6). Let z = -989/3 - q. Find the common denominator of z and -20/7.
21
Let d be 2/3 + 92/6. Suppose -5*t + 71 = d. Suppose 4*u - 2*u = 4. Calculate the lowest common multiple of u and t.
22
Suppose -5*s = -41 + 1. Let w(y) = 11*y - 1. Let p be w(1). Suppose p = d - s. Calculate the smallest common multiple of 20 and d.
180
Suppose 3*h = 3*k + 42, -4*h + 34 + 23 = -3*k. Calculate the smallest common multiple of 12 and h.
60
Suppose 0*s = -3*s + g + 7, 2*g + 12 = 5*s. Let z(r) = -r**3 + 9*r**2 - 8*r + 11. What is the smallest common multiple of z(8) and s?
22
Let c = 31/30 + -557/60. Calculate the common denominator of (-1 + (-3)/(-4))*79 and c.
4
Suppose 19 + 11 = 5*q. What is the lowest common multiple of q and 10?
30
Suppose -3*d - 8 = -2*x, 0 = 5*d - 2*d - 12. What is the smallest common multiple of 1 and x?
10
Suppose 5*w + 384 - 964 = 0. Let b be -1 - (-13 - (-1 + 1)). What is the common denominator of w/(-22)*(-3)/b and 95/2?
22
Let u = 7382 + -44179/6. Calculate the common denominator of u and 40/7.
42
Let a = -1 - -5. Calculate the smallest common multiple of 11 and a.
44
Let l be 1/3 - 640/(-6). Suppose -359 = -3*h - l. Calculate the common denominator of -1 - 3/(h/62) and -85/8.
56
Let c = -31 - -19. Calculate the common denominator of 15/4 and ((-2)/c)/(4/498).
4
Let m be (3/69)/((-2)/222). Let j = 1829/460 + m. Let l = -97469/22 + 4432. What is the common denominator of j and l?
220
Let v(s) = -3*s**3 - 2*s**2 - 2*s - 1. Calculate the smallest common multiple of v(-1) and 34.
34
Suppose 6*a = 4*a - 8. Let s(l) = l**2 - 2*l - 6. What is the least common multiple of 18 and s(a)?
18
Let g = -56 + 29. Suppose -z - 17 = 1. Let t = z - g. Calculate the smallest common multiple of t and 10.
90
Let n be 2 + (2*21)/3. Suppose 5*g + n = 86. Suppose -5*k + 8 = -4*k. Calculate the lowest common multiple of k and g.
56
Find the common denominator of (-12)/27*-46 + (-6)/(-27) and -63/44.
132
Let w(r) = 318*r**2 + 2*r + 3. Let g be w(-3). Let n = -22911/8 + g. Find the common denominator of (-76)/(-10) + 2/4 and n.
40
Let i = -18422312/1363 - -13516. Let j = i + 31413/21808. Find the common denominator of j and -89/14.
112
Let x(a) = 2*a + 23. Calculate the smallest common multiple of x(-8) and (4 - -1) + (-1 - 0).
28
Let l be ((-891)/4)/(-3) + 1. Let h = l + -89. Calculate the common denominator of h and -71/2.
4 | {
"pile_set_name": "DM Mathematics"
} |
- 2*h**3 + 0*h**3. Let d be r(-8). Suppose v = -3*q - 3, 3*q + 274*v - 24 = 270*v. Put q, 1, d, -2 in descending order.
d, 1, -2, q
Let s = -21.5 - -21.8. Let w = 3101663/87 + -35652. Let t = w - -1/29. Put t, s, -2/7 in ascending order.
t, -2/7, s
Let f = 108 - 96. Suppose 0 = f*b - 40 - 20. Suppose 2*r = 5*r - 5*l + 15, 5*r - l = -3. Put r, -7, b, -5 in descending order.
b, r, -5, -7
Let l = 5053 - 5051. Sort -1/2, -15/17, l in descending order.
l, -1/2, -15/17
Let r be ((-2 + 3)*8)/(-16 - -18). Sort 16, r, -7 in descending order.
16, r, -7
Let n = 6 - 5.7. Suppose -b + 3*d + 35 = 0, -3*d = -2*b - 6*d + 52. Suppose 4*c + 3*y + b = 0, 7 = -c - 5*y - 13. Sort 2/7, c, n in ascending order.
c, 2/7, n
Let n = 50.6 + -11.6. Let v = n + -38.79. Sort 0, v, 3, 0.1 in ascending order.
0, 0.1, v, 3
Let g = 6.9 + -8.3. Let b = 0.2 - 1.2. Let l = g - b. Put -5, l, 1 in ascending order.
-5, l, 1
Suppose 3*q + 3 = 3*z + 36, -3*q = 4*z - 33. Suppose q = m + 5*w, -16 = -2*m - 2*w - 2*w. Suppose -4*x - 2 = -m. Sort -4, x, 4 in descending order.
4, x, -4
Let k = -8266 - -8267. Let c be (-11)/(-2) + (-9)/6. Sort k, c, 0 in descending order.
c, k, 0
Let y be (-16100)/(-2576) - (6 - 0). Sort -2/15, 1, y, -25/2 in ascending order.
-25/2, -2/15, y, 1
Let o = 1.1 + -0.7. Let x = 2.2 + -91.2. Let n = x - -88. Put o, n, 3 in ascending order.
n, o, 3
Suppose 0 = 6*i + 18. Suppose 2*c + 8 = 4*k - 2, 2*c - 14 = -4*k. Sort 11, c, -5, i in decreasing order.
11, c, i, -5
Let g = -140 + 130. Let j be (g/(-20))/((-1)/(-6)). Sort j, -0.1, 1, -1 in decreasing order.
j, 1, -0.1, -1
Let r = 121/84 + -7/12. Let p = r - 46/21. Sort -2/11, 0.4, p, -1/11 in decreasing order.
0.4, -1/11, -2/11, p
Let z = -7/5 + 2. Let s = 2.203 - -2.797. Sort s, -0.1, z in descending order.
s, z, -0.1
Let x(i) = -7*i**2 + 174*i + 21. Let f be x(25). Suppose -3*u = 3*p - 12, 0 = -2*p - u + 5. Put p, f, -5, -28 in decreasing order.
p, f, -5, -28
Let z be 3472/27300 + (-10)/65. Let m be 5 - (0 + 159/33). Sort m, 2, z in decreasing order.
2, m, z
Let z(f) = -4*f + 14. Let j be z(4). Let c = 8 - -63. Suppose -29 = -3*g - 4*w, -w + c = 2*g + 3*g. Sort g, -3, j.
-3, j, g
Let t be (8/(-30) - 0)/(14/(-105)). Sort t, 3, -0.0601 in increasing order.
-0.0601, t, 3
Let h = 113 - 117. Let d be ((-29)/(-145))/(2/(-10)). Sort -11, 0, h, d in decreasing order.
0, d, h, -11
Let s = 4.87486 + 0.12514. Put s, -0.04, -0.022 in decreasing order.
s, -0.022, -0.04
Let w = 67 + -107. Let o = -60 - w. Suppose -6*t + 30 = -0*t. Put o, t, 2 in decreasing order.
t, 2, o
Let d be ((-8)/(-6))/(-4) - (-53)/(-3). Let l be (93/6)/(3/d). Let o = 191/2 + l. Sort 0.5, 2, o, -8 in ascending order.
-8, 0.5, 2, o
Let k = -477 - -262. Let t = k - -214. Sort 17, -3, -2, t in descending order.
17, t, -2, -3
Let c(b) = 247*b - 494. Let x be c(2). Let m be (-6)/(-4)*(-58)/3. Sort 5, m, x, -4.
m, -4, x, 5
Let g = 0 - 0. Let z = -0.408 - -3.618. Let m = -3.71 + z. Sort m, 4, g in decreasing order.
4, g, m
Let y = -1192 - -5962/5. Put 4, 0.2, y, 0.08 in increasing order.
0.08, 0.2, y, 4
Let l = 162/5 + -65/2. Let q = -1135.4 + 1139.4. Put l, q, 0.4 in decreasing order.
q, 0.4, l
Let q = 347115/2 + -173557. Suppose -5*u = -2*u - 6. Sort 3, q, -2/3, u in descending order.
3, u, q, -2/3
Suppose 0 = -20819*j + 20810*j - 36. Sort 4, j, 2/27363 in descending order.
4, 2/27363, j
Suppose 0*o + 2*i = -o - 11, -4*o = 4*i + 32. Let w(u) = -u**3 + 8*u**2 + 10*u + 23. Let b be w(9). Suppose 5*a = b - 7. Sort -1, o, a, 0 in descending order.
a, 0, -1, o
Let t = -137.18 + 137.27. Sort 0.2, -5/29, t in ascending order.
-5/29, t, 0.2
Let o = 0 - 9. Let i = 194.098 + -194.898. Sort o, i, -5 in descending order.
i, -5, o
Let x = -150 - -275. Let n = -194 + x. Sort 3/7, n, -4/9, -3 in decreasing order.
3/7, -4/9, -3, n
Let n = -31 - -28. Let z(u) = -u**3 + 4*u**2 - 5*u + 4. Let v be z(2). Suppose h - 2*p = -11, v*h + 28 = -3*h + p. Sort -2, n, -1, h in decreasing order.
-1, -2, n, h
Let t = 510 - 505. Put 2/3, t, 33, -0.5 in decreasing order.
33, t, 2/3, -0.5
Let z = -3717 + 3712. Sort -4, 4, -215, z, 3.
-215, z, -4, 3, 4
Let u = -0.09591 - -7.09591. Sort u, -1, -0.32, 0.2, 4.
-1, -0.32, 0.2, 4, u
Let c = 637/4 - 639/4. Sort 2.1, 1/8, c, 1 in decreasing order.
2.1, 1, 1/8, c
Let u = -0.07 - 0.23. Let s(j) = -j**3 + 10*j**2 - 5*j - 33. Let y be s(9). Let r(d) = 4*d - 10. Let g be r(y). Put 4, -0.05, g, u in decreasing order.
4, g, -0.05, u
Let n = 48 + 87. Suppose -9*s - 36*s = n. Suppose 0 = -0*r + r - 5. Sort -2, 0, s, r in ascending order.
s, -2, 0, r
Let s be 4 + ((-2)/4)/((-3)/42). Let a(i) = 4*i - 2. Let f be a(s). Suppose -48 = 6*m + f. Sort m, -1/3, 2, 2/5 in decreasing order.
2, 2/5, -1/3, m
Let a be ((-128)/12)/(-8) + (-8)/6. Let f = 3 - -2. Put -2, f, -5, a in decreasing order.
f, a, -2, -5
Let v = 310721/28 - 11099. Let m = v + 9/28. Put -3, -0.32, m, -2 in ascending order.
-3, -2, m, -0.32
Let d(w) = w**3 + w**2 - w + 7. Let f be d(0). Let o = -3 + f. Let k(r) = r**2 - 78*r + 1. Let c be k(0). Sort c, o, 3 in decreasing order.
o, 3, c
Let u be (-21)/(-6) + (-2)/4. Let x be (-4)/(-20) - (-579)/5. Let g = x + -120. Sort g, u, 0 in ascending order.
g, 0, u
Let h = -5168 - -5168.13. Sort 0, 20, h in ascending order.
0, h, 20
Let x(b) = -37*b - 441. Let t be x(-12). Suppose m = -2*m + 9. Suppose -22 = m*u - 7. Put u, t, 11 in descending order.
11, t, u
Let k = -7.487 + 7.487. Put 1, k, 6, 5, 1/23 in ascending order.
k, 1/23, 1, 5, 6
Suppose -6*x = -4*o - x - 655, o + 5*x = -170. Suppose 86 = -53*r + 96*r. Sort o, 0, r in increasing order.
o, 0, r
Let m(p) = -p**2 - 9*p - 3. Let r be m(-9). Let g be (5 + -4)*r/15. Let t = 3149/20 - 781/5. Sort 0.4, g, 1, t in ascending order.
g, 0.4, 1, t
Let c(s) = 2*s**2 + 304*s - 3238. Let n be c(10). Let i = 4 + -6. Sort i, 6, n in increasing order.
i, n, 6
Let f = 0.37 - -15.63. Let v = -0.59526 - 1.60474. Sort v, f, 4 in decreasing order.
f, 4, v
Let s = -22 + 88. Suppose -s*c + 68*c - 6 = 0. Let m(b) = b**3 - 5*b**2 - 3. Let o be m(5). Sort o, -1, c in ascending order.
o, -1, c
Let x be (-46)/(-2) + 5598/(-311). Sort x, 13, -6, -5, 1.
-6, -5, 1, x, 13
Let j = 9344 + -9337. Put -1, 12, j, -5 in ascending order.
-5, -1, j, 12
Suppose 5*j = -4*g - 4, 17 = g + 5*j + 33. Sort -0.8, 2/13, -1, g in ascending order.
-1, -0.8, 2/13, g
Let s(w) = -6*w**2 - 42*w + 73. Let h be s(-7). Put 5, -4, h in ascending order.
-4, 5, h
Let r = 3.5 - -0.5. Let f = -207 - -151. Let d be 6/4 - (-91)/f. Sort 2/9, 1, d, r in descending order.
r, 1, 2/9, d
Suppose 3*w = -18*w - 3*w. Sort -5, w, -80 in descending order.
w, -5, -80
Let u be 1*((-1)/(-6))/1. Let o(v) = v**3 + 34*v**2 + 35*v + 137. Let i be o(-32). Let y = i - 1068. Sort 0.3, y, -0.4, u in increasing order.
y, -0.4, u, 0.3
Let s = 4982 - 4981.6. Suppose 3*l - 1 - 11 = 0. Let q = 0.1 - 5.1. Put s, l, -0.2, q in decreasing order.
l, s, -0.2, q
Let k = -3.6 + -26.4. Let a = k + 59. Let d = 29 - a. Sort -0.5, d, -0.16.
-0.5, -0.16, d
Let p = -0.04 + -0.96. Let c = 908.3 + -907.9. Put -34, c, 5, p in decreasing order.
5, c, p, -34
Let b be 2*7 + (-7714)/609. Sort b, 4, 701, -5 in ascending order.
-5, b, 4, 701
Let a be (31 - 2156/66)/((-5)/(-3)). Put 2, -4, 0, 1, a in ascending order.
-4, a, 0, 1, 2
Let y be 8/14 - 35784/196. Let d = -464 + 464.2. Sort 3, y, d.
y, d, 3
Let n = -0.0047 - -0.0122. Let k = 1.0925 + n. Put 0.1, -4/7, k, 3 in ascending order.
-4/7, 0.1, k, 3
Suppose 0 = -25*k + 143 - 118. Sort 50, -72, k in ascending order.
-72, k, 50
Let p = 2.9 - 3. Let g = 0.3 + p. Let d = 0.01659 + -4.01659. Put d, 10, g in descending order.
10, g, d
Let i(u) = 9*u**2 - 29*u - 12. Let z be i(4). Suppose z*l = 20*l - 16. Put -2, l, 11 in ascending order.
-2, l, 11
Let q be 0 + 0 + 3/(-48). Let x = 288 - 285. Suppose -2*g - 6 = 4*r, -2*r + x*g = -2 + 1. Sort 2, q, r in decreasing order.
2, q, r
Suppose -5*n - 25 = 0, 0*x - 170 = -5*x + 3*n. Suppose 0*f = 4*a - f + 22, -a - 11 = -3*f. Put a, -3, x in decreasing order.
x, -3, a
Let r(g) = -6*g + 22. Suppose 66 = 8*z - 14. Suppose -z*j = -12*j + 8. Let a be r(j). Put -5, a, 0, -1 in descending order.
0, -1, a, -5
Let d = 574897672902/6005 + -95736498. Let u = d - 2/1201. Sort u, -4/5, -1 in decreasing order.
u, -4/5, -1
Let c = -183 + 187. S | {
"pile_set_name": "DM Mathematics"
} |
= -8. Let l(q) = q + q + 3*q - v*q. What is l(r(j))?
-3*j
Let s(f) be the first derivative of -f**2 - 12. Let l(a) be the first derivative of -a**3/6 - a + 1. Let v(o) be the first derivative of l(o). Give s(v(g)).
2*g
Let c(f) = -7*f**2. Let z(u) = 226*u**2 - 1. Determine c(z(s)).
-357532*s**4 + 3164*s**2 - 7
Let l(u) = -31*u. Let r(j) = -9*j. Give l(r(q)).
279*q
Let s(h) = -h. Let b be 0 - 0 - (-3)/1. Suppose 2*n - b - 1 = 0. Let i(v) = v + 0*v - n*v. Give i(s(u)).
u
Let d(n) = -235*n. Let q(m) = -2*m**2. Give q(d(b)).
-110450*b**2
Suppose 2*v + 4*k = 12, 2*v + 0*v - 2*k = 0. Let w(h) = -2*h + h - v*h + 2*h. Let g(n) = -2*n**2. Give g(w(d)).
-2*d**2
Let r(j) = j**2. Let o(d) = 7*d**2 + 5*d - 5. Let c(s) = -s**2 - s + 1. Let i(q) = -20*c(q) - 4*o(q). What is i(r(h))?
-8*h**4
Let t(j) be the first derivative of j**2 + 2. Let n(q) = -q**2. Calculate t(n(s)).
-2*s**2
Let r(n) be the first derivative of -n**3/3 - 1. Let m(d) be the second derivative of -d**4/4 - 4*d. Give m(r(a)).
-3*a**4
Let r(k) = 0*k - k - 3*k. Let t(g) = -3*g**2 + 2*g + 2. Let v(s) = -16*s**2 + 11*s + 11. Suppose -2 = 4*b - 10. Let y(z) = b*v(z) - 11*t(z). What is y(r(o))?
16*o**2
Let x(d) = 17*d**2. Let l(s) = -5*s. Calculate x(l(a)).
425*a**2
Let i(b) = -b. Let l(v) = -150*v - 16. What is i(l(t))?
150*t + 16
Let n(a) be the second derivative of -2*a + 0 - 1/6*a**3 + 0*a**2. Let g(t) = -t**2. Determine n(g(k)).
k**2
Let x(s) = -2*s**2. Let f(d) = -7612*d. What is x(f(m))?
-115885088*m**2
Let d(b) = 4587*b + 1. Let v(a) = -a. Determine v(d(u)).
-4587*u - 1
Suppose 7*c - 2*d + 24 = 4*c, -c + 2*d = 12. Let l = -4 - c. Let p(q) = l*q - 3*q + 2*q. Let f(g) = 4*g**2. Calculate p(f(y)).
4*y**2
Let l(p) = -2*p**2. Let k(m) be the first derivative of 19*m**3 + 10. Give l(k(b)).
-6498*b**4
Let f(x) = x. Let o(y) = y**3 + 6*y**2 + 6*y + 6. Let b be o(-5). Let s be 4/b*(-4)/(-8). Let i(m) = 0*m**2 - 6*m**2 - m**s + 6*m**2. What is f(i(p))?
-p**2
Let u(j) = -j**2. Let q(i) = 70*i**2 - 3. Determine q(u(o)).
70*o**4 - 3
Let k(v) = -69*v - 1. Let u(x) = 2*x**2. Determine u(k(z)).
9522*z**2 + 276*z + 2
Let q(k) = -183*k**2 - 2*k. Let a(f) = -14*f**2. Calculate q(a(y)).
-35868*y**4 + 28*y**2
Let y(k) = -12*k. Let z(t) = t. Let u(w) = 6*y(w) + 68*z(w). Let h(o) be the second derivative of o**3/3 + o. What is h(u(g))?
-8*g
Let o(v) = v - 1. Let h(f) = 6*f**2 + 3*f - 3. Let c(s) = -h(s) + 3*o(s). Let y(x) = -2*x**2. Calculate c(y(p)).
-24*p**4
Let d(a) = -a**2 + a + 2. Let s be d(3). Let f(i) = i**2 - 2. Let t(k) = -5*k**2 + 9. Let h(q) = s*t(q) - 18*f(q). Let w(n) = 5*n. Calculate w(h(y)).
10*y**2
Let o(j) be the third derivative of -1/24*j**4 + 0*j + 0 - j**2 + 0*j**3. Let z(f) be the third derivative of f**5/30 + 8*f**2. Calculate o(z(d)).
-2*d**2
Let d(j) = 10*j**2 + 3*j + 3. Let p(s) = 9*s**2 + 2*s + 2. Let t(i) = -2*d(i) + 3*p(i). Let w(o) be the second derivative of -o**3/3 - 11*o. What is w(t(v))?
-14*v**2
Let b(d) = -9*d. Let a(j) = -3*j**2 + 104*j. What is b(a(l))?
27*l**2 - 936*l
Let i(u) be the third derivative of u**5/20 + 4*u**2. Let r be 1/(-4) - 15/(-12). Let t(v) = -v - r + 1. Give i(t(f)).
3*f**2
Let f(c) = 2*c. Let w(t) = 6*t**2 + 5*t + 5. Let b(x) = -7*x**2 - 6*x - 6. Let g(y) = -5*b(y) - 6*w(y). Calculate g(f(u)).
-4*u**2
Let s(k) = 53*k. Let x(g) be the second derivative of g**3/3 - 47*g. Determine s(x(v)).
106*v
Let h(p) = p**2. Let n(i) = 3312*i. Calculate n(h(x)).
3312*x**2
Let o(q) be the third derivative of -q**4/24 - q**2. Let a(l) be the second derivative of 0 + 4*l + 2/3*l**3 + 0*l**2. Calculate o(a(f)).
-4*f
Let b(o) = -2*o. Let i(x) = 5*x - 5 + 5. Calculate i(b(t)).
-10*t
Let t(k) = -40*k**2. Let p(i) = -36*i. What is t(p(j))?
-51840*j**2
Let k(w) = -8*w**2 - 9*w**2 + 31*w**2 - 13*w**2. Let d(f) = -4*f - 4. What is d(k(l))?
-4*l**2 - 4
Let v(h) = 17*h. Let l(o) = -992*o. What is v(l(y))?
-16864*y
Let a(b) = b. Let y(z) be the third derivative of -z**2 + 0*z - 1/60*z**5 + 0*z**3 + 0*z**4 + 0. Calculate a(y(r)).
-r**2
Let q(d) = -10*d**2 + 14*d - 14. Let i(g) = 2*g**2 - 3*g + 3. Let u(l) = -14*i(l) - 3*q(l). Let y(t) = -9*t**2. Determine u(y(c)).
162*c**4
Let r(p) = -p**2. Let w(s) = -2*s**2 - 13. Calculate w(r(h)).
-2*h**4 - 13
Let b(f) = 10*f + 6. Let x(j) = -8*j - 5. Let o(c) = 5*b(c) + 6*x(c). Let w(g) = -g - 26. Determine o(w(p)).
-2*p - 52
Let z(j) = 283*j**2. Let u(y) = -5*y**2. Determine u(z(r)).
-400445*r**4
Let v(d) = d**2. Let s be -1 + -1 + -2 + 7. Suppose -s*r + 6 = -0*r. Let g(y) = y**r - 5*y + 5*y. Determine g(v(z)).
z**4
Let u(l) = -l**2 + 9. Let m(b) = -2 - 3 + 1 + 2. Let s(d) = -9*m(d) - 2*u(d). Let k(h) = -5*h**2. Give s(k(x)).
50*x**4
Let v(t) = -2*t - 510. Let c(q) = 2*q. Determine c(v(j)).
-4*j - 1020
Let i(z) be the first derivative of 1/2*z**2 + 0*z - 3. Let v(s) = -5*s. Determine v(i(f)).
-5*f
Let r(j) = -10*j. Let n(h) = 22*h**2. Calculate n(r(i)).
2200*i**2
Let z(f) = f. Let p(d) = -d**2 + 155*d + 2. Calculate z(p(u)).
-u**2 + 155*u + 2
Suppose 3*b - 4*w = 25, -2*b - 2 + 14 = 2*w. Let d = b + -5. Let c(l) = 5*l**2 - 2*l**2 - l**d. Let v(m) = -3*m. Give v(c(q)).
-6*q**2
Let d(x) = 2*x - 6*x - 6*x. Let v(h) = -h + 0*h + h - h. Calculate v(d(a)).
10*a
Let j(w) = -2*w. Let a(b) be the second derivative of 0*b**2 + 0*b**3 - 5/12*b**4 + 0 - 3*b. What is a(j(d))?
-20*d**2
Let q(y) = 2*y**2. Let b(h) be the second derivative of 0 + 2*h + 0*h**2 + 1/3*h**3. Give q(b(i)).
8*i**2
Let r(m) = -7*m - 5. Let v(q) = 10*q + 7. Let f(k) = 7*r(k) + 5*v(k). Let h(u) be the first derivative of -u**3/3 + 2. Determine h(f(d)).
-d**2
Let p(l) be the third derivative of -l**4/12 - 8*l**2. Let c(f) = 8*f. Determine c(p(k)).
-16*k
Let j(s) = 2*s**2. Let n(p) be the first derivative of 6*p**3 + 21. Calculate j(n(x)).
648*x**4
Let p(i) = i**2. Let s(y) be the first derivative of 0*y**2 + 0*y + 7 - 1/3*y**3. What is p(s(a))?
a**4
Let l(x) be the third derivative of -19*x**4/24 - 6*x**2. Let i(t) = 2*t**2. Give i(l(c)).
722*c**2
Let n(f) be the first derivative of 0*f + 3 + 1/2*f**2. Let j(c) = -4*c. Calculate n(j(s)).
-4*s
Let a(n) = 8*n**2. Let k(p) = -152*p**2. Determine k(a(z)).
-9728*z**4
Let u(a) be the first derivative of a**3/3 + 1. Let g(m) = 4*m. Calculate g(u(v)).
4*v**2
Let m(t) = -t - 5. Let j(h) = -h. Give m(j(d)).
d - 5
Let k(f) = -59*f**2 + 3*f. Let t(w) = 7*w. Calculate k(t(g)).
-2891*g**2 + 21*g
Let w(b) = 3*b. Let c(u) = -2*u**2 - 485*u. What is c(w(z))?
-18*z**2 - 1455*z
Suppose -3*v + 9 = 4*j, -4*v + 0*v - 4*j = -8. Let w = 3 + v. Let p(t) = w*t**2 + 0*t**2 - 3*t**2. Let a(y) = y**2. Determine p(a(r)).
-r**4
Let f(v) = v**2. Let q(u) = 5*u. Let d(w) = 11*w. Suppose 0 = 4*l - 0*l - 5*h - 35, 2*h = 2*l - 16. Let y(a) = l*q(a) - 2*d(a). What is y(f(i))?
3*i**2
Let d(z) = 144*z**2. Let r(u) = 4*u**2. Determine r(d(g)).
82944*g**4
Let x(s) = 6*s. Let j be (-42)/(-63) + (-2)/3. Let p(a) be the first derivative of 1 - 1/3*a**3 + j*a + 0*a**2. What is p(x(u))?
-36*u**2
Let w(f) = 1068*f**2. Let p(s) = 6*s**2. Give p(w(x)).
6843744*x**4
Let l(h) = 18*h. Let k(y) = 272 + y**2 - 272. What is k(l(x))?
324*x**2
Let p(h) be the second derivative of h**4/12 - 19*h. Let u(m) = 29*m**2. Calculate u(p(b)).
29*b**4
Let u(g) = -g**2. Suppose -50 = 4*t + 10. Let n be 6/t - 24/(-10). Let r(s) = s + n*s - s. Determine u(r(v)).
-4*v**2
Let b(d) = -2*d + 31. Let a(l) = 5*l. Determine a(b(y)).
-10*y + 155
Let x(w) = 5*w - 8. Let i(q) = 3*q - 5. Let y be 20/30 + (-13)/(-3). Let g(l) = y*x(l) - 8*i(l). Let a(f) be the first derivative of -f**2/2 - 1. Give a(g(n)).
-n
Let v(x) = -22*x - 12. Let k(n) = -9*n - 5. Let c(m) = 12*k(m) - 5*v(m). Let w(g) = 7*g. Determine w(c(u)).
14*u
Let r(b) = 2*b**2. Let v(u) be the first derivative of 0*u**2 - 3 + 0*u - 4/3*u**3. Determine r(v(m)).
32*m**4
Let r(i) = i. Let d(w) = -262*w. Give r(d(g)).
-262*g
Let f(o) = o - 13. Let q be f(14). Let d(m) = 2*m + 1 - q. Let z(c) = 5*c**2. Calculate z(d(n)).
20*n**2
Let r(p) be the third derivative of p**5/30 + p**2. Let x(k) be the second derivative of -k**4/6 - 21*k. Calculate r(x(q)).
8*q**4
Let b(r) = -11*r**2. Let c(x) = 0*x**2 - 2*x**2 + 2*x**2 + 3*x**2. What is b(c(i))?
-99*i**4
Let k(b) = -6*b. Let l(w) = 9*w - 18. Calculate k(l(p)).
-54*p + 108
Let q(v) = 7*v - 2. Let s(y) = 15*y - 5. L | {
"pile_set_name": "DM Mathematics"
} |
+ 25. Let x be w(11). Suppose x*p - 2 = -5. Suppose 3*y - 6*y = -5*v - 16, 5*v + 18 = 4*y. Which is bigger: v or p?
p
Suppose 0 = c - 3, -5*v = -2*v + 5*c - 66. Suppose -40 = -3*z + 11. Is z greater than v?
False
Suppose 3*m + 3*i - 6 = -0*i, -3*i = -m + 14. Suppose 98 = 3*q + 4*h, -8*q - m*h = -3*q - 160. Do q and 32 have the same value?
False
Let o be (-6)/4*152/60. Suppose -4*g - 5*c = -244, -6*g = -9*g - 3*c + 186. Let u = 63 - g. Which is bigger: u or o?
u
Let a(x) = -x**2 + 2*x. Let k = 10 - 9. Let z be a(k). Let g = 3 + -3. Is g not equal to z?
True
Suppose -b + 38 = 3*a - 71, 0 = 5*a + 3*b - 179. Let j = -113/3 + a. Let m = 16/9 + j. Which is greater: 0 or m?
m
Let q = -334/5 - -25728/385. Which is greater: 1 or q?
1
Suppose 72*c - 9 = 81*c. Which is greater: -2/5 or c?
-2/5
Let o(c) = c**3 - 6*c**2 + 4*c + 5. Let y be o(5). Suppose y*h + h = 7. Let n = 40 - 40. Which is greater: h or n?
h
Let f = 0.027 - -0.093. Let y = 0.02 - f. Are 0.27 and y non-equal?
True
Suppose -4*a - 2*g = 90, -5*a = 2*g - 0*g + 112. Does -24 = a?
False
Let h = -63/2 + 31. Let c = -1/4 + h. Which is bigger: c or 1?
1
Suppose -3*i - 8 = 2*u, 4*u + 4*i - 3*i + 16 = 0. Let x be ((-8)/(-18))/((-3)/18). Which is smaller: u or x?
u
Let z = 1/412 - -2459/5356. Is -0.9 at least as big as z?
False
Let x = 6.7 - 7. Let j = -1.77 - 4.23. Do j and x have the same value?
False
Let x = -119/33 - -3932/825. Is x >= 1?
True
Let r(h) = 1124*h**2 + 8*h + 7. Let f be r(-1). Which is greater: 0 or f?
f
Let a = -0.046 + -37.954. Let n = a - -37. Let q = 112 - 1233/11. Which is smaller: q or n?
n
Let x(f) = 3*f - 16. Let o be x(4). Let b be 8/12 - (-88)/(-114). Which is smaller: o or b?
o
Suppose q + 2 = -h, -12*q = h - 9*q + 2. Let d(o) = o**3 - 5*o**2 - 5*o - 5. Let x be d(6). Let c be 3 + x + 2*h. Which is bigger: c or 1/6?
1/6
Let s be (-2)/(-2)*(0 - -5). Let c = -8 + s. Let x be ((-4140)/81)/20 + 1. Which is smaller: c or x?
c
Suppose -q + 6*q - 5 = 0. Let n = -300 + 5999/20. Which is smaller: q or n?
n
Let v(i) = -15*i + 24. Let h be v(2). Which is bigger: h or -18?
h
Let u = -1 + -37. Let j = u + 20. Let s(m) = m**3 + 29*m**2 + 60*m + 145. Let o be s(-27). Which is smaller: j or o?
j
Let c = 266863/7 - 38239. Which is smaller: c or -117?
-117
Suppose -q - 4*q = 0. Suppose 0 = -2*x + 3*o + 16, -4 = o. Suppose q*y - 2*y = x. Which is greater: y or 2/15?
2/15
Suppose y - 3*b - 24 = 0, -y - 7*b + 20 = -9*b. Is y > -4?
True
Let q = 258.98 - 259. Which is smaller: 2/83 or q?
q
Let p be (1/(-111))/(1/(-2)). Let m = 236/777 - p. Let k be -2 - (-1 + 0/(-2)). Is m greater than or equal to k?
True
Suppose 3*u = -u - 44. Let r = 18 - 0. Suppose 5*h + 49 = 3*l, 2*h - 3*l = -l - r. Is u >= h?
True
Let w be (-18)/21 - (-581823)/(-567). Which is smaller: -1026 or w?
w
Let o be ((-4)/2770)/(9/(-60)). Let a = 7982/34071 + o. Let x = -88/697 + a. Is x greater than or equal to -1?
True
Let r(l) = -3*l - 9. Let i be r(-8). Suppose 5*n = 295 - i. Which is greater: 55 or n?
n
Let n = -223 + 119. Is -104 greater than or equal to n?
True
Let t(u) = -71*u**2 - 445*u + 5. Let p be t(-6). Let i = -27 - -147. Which is greater: i or p?
i
Let q be (-2)/(-16) + (-4380)/(-34080). Which is smaller: q or -1?
-1
Let n(p) be the second derivative of 7*p**5/20 - p**2/2 + 3*p. Let x be n(-1). Let c = x - -4. Is c < -4?
False
Let a = 6 - 6.7. Let z = 0.82 + a. Let u = 1.12 - z. Which is bigger: u or -3/7?
u
Let w = 62 - 41. Let f = 1687 - 1664. Which is smaller: w or f?
w
Let r = -151 - -130. Which is smaller: -16 or r?
r
Suppose 5*m - 17 = -137. Let v be m/((-1)/(-2) - -1). Let c be v/(-40)*(-50)/(-8). Is 3 at least c?
True
Let k(v) = v**2 + 4*v - 3. Let n be k(-5). Suppose 3*w = n*w + 2. Suppose 4*h = 4*g - 1 + 17, 0 = w*g + h - 1. Which is bigger: -3/4 or g?
-3/4
Suppose 8 = -4*h - 8. Suppose 4*k = 112 + 200. Let p be (2/(-20))/(3 + (-231)/k). Which is greater: p or h?
p
Let t = -326 - -330. Does 0.1 = t?
False
Let o be (5 - -1)/((-10)/(-5)). Let l be (o - 1) + (-1 - -4). Let m = -16 - -23. Is l > m?
False
Let f be (-6)/(-4) + 90/20. Suppose f + 6 = 4*q. Let t be q - ((-600)/51)/(-4). Is -1 greater than t?
False
Let t = -27 + 27.7. Let l = t - -0.3. Is l greater than 2?
False
Let q be 11 - (-268)/(-24) - 1054/12. Are 5 and q non-equal?
True
Let o be 5 - (198/(-27))/(7624/(-5196)). Which is bigger: o or -1?
o
Let x = 858 - 605. Is x at most 251?
False
Let i be 48/20 + (-2)/5. Let h be (i/(-6))/((-2)/(-186)). Is h > -32?
True
Suppose -5*p = -p - 20. Suppose 5 = p*n, 2*t + n - 2*n = 93. Is 47 bigger than t?
False
Let z = -29899/28 + 4137/4. Which is smaller: z or -34?
-34
Let d be 6/(-20)*(-12)/(-318). Which is greater: d or -1?
d
Suppose -j + 13 = -0*i + 2*i, 5*i - 2*j = 10. Suppose -5*g + i*h = 9, -3*g + 5*h = h - 1. Let q be (-9)/(-15) - (-1)/g. Is 14 < q?
False
Let t = 129.2 + -131.2. Which is smaller: -608 or t?
-608
Let p = -11.96 - -12.06. Which is smaller: -651 or p?
-651
Suppose 4*c - 39 = 5*t, -4*c = -5*t + 9*t - 84. Do c and 0 have the same value?
False
Let a be (-75)/30 - (-1)/(-2). Let v be a*10/(-15) - 1. Which is bigger: 1/20 or v?
v
Let x = -4663/105 + 281/7. Is -3 equal to x?
False
Let x be (-3)/9*15 + 1. Is -2/33 >= x?
True
Suppose 17 = -10*y + 127. Is y greater than 0.21?
True
Suppose n + j = -0*j - 471, n + 3*j + 479 = 0. Let b = n + 8875/19. Is 1 smaller than b?
False
Let p(y) = 55*y + 63. Let t be p(1). Is 118 smaller than t?
False
Let u be 3*((-28)/16 + 2)*12. Let w(b) = b**2 - 5. Let y be w(-4). Is u <= y?
True
Let q = -4060 + 28422/7. Let x = 2 - 1. Let h be (2/(-4))/(2 + x). Are q and h non-equal?
True
Let h be (-4)/6 + (-426)/(-693). Let l = 669368 - 257706469/385. Let m = l - h. Which is smaller: 0 or m?
0
Let x = 1.23 + 0.17. Let f = x + -1.24. Let m = f + -0.36. Which is smaller: m or -1?
-1
Suppose i + 7*i = 24. Suppose l + 3*l + 16 = 4*h, -i*l = -4*h + 13. Is 3/7 bigger than h?
False
Suppose 5*v + d = -5, 0 = -5*v - 2*d + 4*d + 10. Let w be v - (10 - 0)*(-68)/85. Which is smaller: w or 9?
w
Suppose 4*y + 89 = -79. Let f be 26/(-60) - y/105. Which is smaller: -1 or f?
-1
Let m = -63.2 - -63.1. Which is bigger: -637 or m?
m
Suppose -c + 8 = 3*c. Suppose c*y = 3*y - 10. Let j = -29225 - -29236. Which is bigger: j or y?
j
Let n(x) = x**3 + 5*x**2 + 9*x + 9. Let s be n(-3). Which is smaller: s or 6/65?
s
Let b(o) = o**2 + 7*o. Let z be (-1)/((-2)/(-56)*4). Let t be b(z). Let a be (4/(-8))/(26/(-12)). Is a > t?
True
Let p be 10/120*6*0. Do p and 1/792 have the same value?
False
Let n = 0.23 + -0.23. Let c be ((-9)/(-6))/(3/(-12)). Let y = c - -9. Is y not equal to n?
True
Suppose 3*j - 1490 = -2771. Is j less than or equal to -1285/3?
False
Suppose 5*x + 10 = 2*v - v, 0 = 5*x. Let f be (v/15)/((-1)/6). Let d(l) = 2*l + 11. Let q be d(f). Is q less than 6?
True
Suppose 33 = -4*n - 3*v + 2*v, 0 = 2*n + 2*v + 18. Are -10 and n nonequal?
True
Let p be (-280)/2660 - (410/(-1368) + 0). Which is smaller: -1 or p?
-1
Suppose -3*j - 29 = -5*m, 2*m + 0*m - 11 = j. Let y be m/2*(-35)/42. Is -1 less than or equal to y?
False
Let m be 3/(-5) + (0 - 1). Suppose -110*g + 362*g + 252 = 0. Is g less than or equal to m?
False
Let s be ((-2)/(-1))/((-9)/(-3) + -20). Are 1 and s non-equal?
True
Suppose -3*o - 4 = -o. Let k = 65 - 55. Which is bigger: o or k?
k
Let j be 20/130 - 5/117. Let p = -181/756 + -2/189. Which is greater: j or p?
j
Let t = 153 + -151. Which is smaller: t or -86?
-86
Let s = -0.117 + 10.967. Let c = s + -10. Let d = -0.15 - c. Which is smaller: d or 5/2?
d
Let h be (1 - 2)*1 + 0. Let c be (-181)/955 + h/(-3). Let l = -2/191 + c. Which is smaller: -1 or l?
-1
Let m = -13 + 4. Let n be 0 - 10/(-5) - 192/20. Which is smaller: m or n?
m
Let j = 77 - 115. Suppose 22*n + 234 = 16*n. Are n and j equal?
False
Let d(t) = -t**2 + 11*t - 8. Let h be d(12). Let s = h + 17. Let m(n) = n**2 + 3*n + 1. Let y be m(s). Does -6/13 = y?
False
Let h be (-83)/55 + 1073/1480 + (-1)/8. Let w be (-4)/14 + (-4)/(-14). Suppose w = 4*v + v. Is v at most h?
False
Let t = 900 + -232201/258. Is 1 equal to t?
False
Let h be 2/(-8) - 26/(-8). Suppose h*g = -2 - 1. Is g > -7?
True
Let l(x) = x**3 + 5*x**2 - x - 5. Let n be l(-5). Suppose 4 = -n*j - j. Let z be 52/39*(-1)/j. Which is bigger: 2/7 or z?
z
Let v = -1 | {
"pile_set_name": "DM Mathematics"
} |
3, -1, g in decreasing order.
3, -1, g
Let x be ((-6)/(-9) - 0)*(3 + 3). Let j = -3 - 1. Put 1, x, j in decreasing order.
x, 1, j
Let m = -0.94 + 1.24. Let s = 0.5 + 0. Let k = -0.3 + -0.7. Sort k, s, m in increasing order.
k, m, s
Let d = 20 - 17. Sort 5, d, -5 in descending order.
5, d, -5
Let w be (6 + -9 + 8)*1/4. Put 2, -12, w in increasing order.
-12, w, 2
Suppose 0 = -4*z + 5*b + 41, 0 = z - 4*b - 28 + 4. Sort z, -3, 2.
-3, 2, z
Let f = 91 - 90.5. Sort f, -2/5, -1, -3/4 in decreasing order.
f, -2/5, -3/4, -1
Let i be (-24)/(-14) - (-8)/28. Let b be (-10)/(-15)*(-15)/(-2). Sort b, i, -3.
-3, i, b
Let d = 1.2 - 1. Let h = 0.258 + 16.842. Let c = 17 - h. Put c, 0, d in decreasing order.
d, 0, c
Suppose -8 + 0 = -t - 2*b, -4*t - b + 4 = 0. Sort 4, t, -4.
-4, t, 4
Let k = -50 - -51. Sort -2, 0, 2, k in increasing order.
-2, 0, k, 2
Let a = -0.23 + 0.43. Sort -4, a, -2/7 in decreasing order.
a, -2/7, -4
Suppose -2*h + 9 = -x, -3*x + 0*x + 2*h = 11. Let i(g) = -3*g**3 + g**2 - g - 1. Let v be i(x). Let k = -23 + 20. Sort v, k, 0 in ascending order.
k, 0, v
Let o = -25 + 27. Put -0.038, -1/2, o in decreasing order.
o, -0.038, -1/2
Let f(u) = 9*u + 22. Let q be f(-5). Sort 0.4, -4, 5, q in descending order.
5, 0.4, -4, q
Suppose -4*n = -3*k + 8, 0*n + 4*k = n - 11. Let q = 5 + -3. Let h(c) = -2*c. Let g be h(q). Sort g, 3, n in increasing order.
n, g, 3
Suppose 3*h - 5 = -2*h. Let t be (2 - h) + (-2732)/2415. Let w = 1/483 - t. Sort -5/6, 0.4, w.
-5/6, w, 0.4
Let d = -2 - -1.8. Let s = -5 + 5.1. Let v = d + s. Put 0.1, -2/19, v in ascending order.
-2/19, v, 0.1
Let g = 0.38 + 0.02. Let y = 0.3 - 0.2. Let m = -2.73 - -2.68. Put g, m, y in descending order.
g, y, m
Let v = -16771/15 + 1116. Let i = 12/5 + v. Let m = 133/3 - 45. Put -4/5, m, i in ascending order.
-4/5, m, i
Suppose 0 = 5*u + 4 - 9. Let c = 2 - u. Sort 4, c, 7 in descending order.
7, 4, c
Let s be (-4 - -9) + (-123)/24. Put s, 4, -1.2, -5 in descending order.
4, s, -1.2, -5
Suppose 2*m + 8 = 2*s, -5*m = -m - 5*s + 19. Suppose -3*h - 4 + 10 = 0. Put -5, m, h in decreasing order.
h, m, -5
Let l = -15 - -12. Let b = 2.8 - 3. Let c = b + 1.2. Put c, 4/3, l in increasing order.
l, c, 4/3
Let r = 1 + 4. Suppose -3*p + 5*p = -r*w - 7, 3*p - 24 = 4*w. Sort 2, 5, p.
2, p, 5
Suppose -4*b + 12 = -5*x, 5*b - 4 - 2 = 4*x. Let m(r) = -r + 9. Let l be m(7). Sort -3, l, x in decreasing order.
l, -3, x
Let t = -126 - -130. Let s = -3 + 5. Let a be (3 + -2 - s) + 3. Put -4, t, a in decreasing order.
t, a, -4
Suppose -3*i = n - 5*n + 14, 3*i = 2*n - 4. Let c = -2 - 2. Sort i, c, -3 in descending order.
i, -3, c
Let n = 3 - 2.9. Let r = n - 0.5. Let y = -2.4 - r. Sort -3, y, -0.2 in decreasing order.
-0.2, y, -3
Suppose 8*l - 8 = 10*l. Let a(q) = -q**3 - 5*q**2 - 3*q - 1. Let x be a(l). Sort -4, x, 4.
x, -4, 4
Let d be 2 - (-4 + 8) - -3. Suppose 0*p = -4*p. Suppose -d = c - p. Put -5, c, 0 in ascending order.
-5, c, 0
Let j = -99 + 98.6. Put j, 1/6, -0.1, -7 in ascending order.
-7, j, -0.1, 1/6
Let n(a) = a**3 - 5*a**2 + 4*a. Let g be n(4). Let h be 3 + 1 - (-2)/(-1). Let v = 4 - h. Sort -3, g, v in descending order.
v, g, -3
Suppose 10*d - 11 + 1 = 0. Sort 4, -1, d, -2.
-2, -1, d, 4
Let u be ((-2)/(-4))/(3/(-12)). Let x be 2/(-4) - 4/(-8). Suppose x*c + c = 0. Sort 2, c, u in decreasing order.
2, c, u
Let x be (1/6)/(2/18). Sort 1/10, x, -0.4.
-0.4, 1/10, x
Let k = -3.4 - -3.5. Let g = -1 + 0.84. Let r = 0.06 + g. Put k, r, 0 in ascending order.
r, 0, k
Let w = -83 + 88. Sort w, 0.4, 3, 1/4 in descending order.
w, 3, 0.4, 1/4
Suppose 4*y - 2 = -4*i + 2*i, 0 = 4*y - 3*i + 13. Let g be y/(1*(-1)/(-4)). Sort 0.1, -0.5, g in ascending order.
g, -0.5, 0.1
Let z be (-2)/4*1*4. Suppose -5*w = 5, 0 = 3*l + w - 49 + 11. Suppose -3*b - 3*f + 15 = 0, l - 4 = 5*b + f. Put -1, b, z in descending order.
b, -1, z
Let i = 15 + -10. Put 2, -4/7, 1/4, i in decreasing order.
i, 2, 1/4, -4/7
Let u = -1.2 + -9.8. Let r = u - -8. Let p = 0.29 + 0.21. Put 5, p, r in ascending order.
r, p, 5
Let v = 2.78 - -0.22. Put v, 5, -1 in descending order.
5, v, -1
Let a(v) = -v**3 + 7*v**2 + v - 7. Let h be a(7). Sort -1, -5, h in descending order.
h, -1, -5
Let b = 0.51 - -0.09. Let n = -0.4 + 0.6. Let z = n - b. Put 0.3, -2, z in increasing order.
-2, z, 0.3
Suppose -8 = 2*f - f. Let o = -4 - f. Let x = -8 - -10. Sort -1, x, o in descending order.
o, x, -1
Let c = -8 + 12. Suppose -v - 2 = -c*b - 6, 4*b = 0. Put v, -4, 1 in descending order.
v, 1, -4
Suppose -1 = -2*u + u. Let p be (3 - u)/(4/(-10)). Put -2, -3, p in descending order.
-2, -3, p
Suppose -4*b + b + 3*w - 3 = 0, -3 = 3*b - 4*w. Suppose 4*g = g. Sort b, 4, g in decreasing order.
4, g, b
Suppose o - 3*h = 2*h - 1, -4*o - 4 = h. Let d be -3 + o - (4 - 5). Sort 4, 0, d in descending order.
4, 0, d
Let r(n) = n**3 + 4*n**2 - 6*n - 5. Let d be r(-5). Let g = 4 - 9. Put g, 2, d in descending order.
2, d, g
Let h(j) = 13*j**3 - j**2 - j + 1. Let g be h(1). Suppose 20 = 5*t - 0*t + 4*p, p = -3*t + g. Let c be 0 + (-2)/t*-8. Put 0, c, -6 in descending order.
c, 0, -6
Let r be 136/28 + 2/14. Sort -5, 7, r.
-5, r, 7
Let s = 49 - 53. Sort -1, -5, 3, s.
-5, s, -1, 3
Suppose 0 = q - 4*r - 16, -2*q + 0*r = 3*r + 1. Let c = 3 + 5. Let l be -1 - c/(-12) - -1. Put l, q, 3 in ascending order.
l, 3, q
Suppose 2*q - 12 = 4*j, 4*q - 2*j - 12 = 6. Put q, 6, 3 in descending order.
6, q, 3
Let t be 5 - 3 - 31/4. Let n = t - -11/2. Sort 0, 5, n in decreasing order.
5, 0, n
Let l be 9/(-2) - 3/6. Let b be ((-1)/5)/(3/l). Sort -1/5, 1, b in ascending order.
-1/5, b, 1
Let c be (-104)/22*(-4)/16. Let h = -14077/5 + 309813/110. Let w = h - c. Put w, 0.5, -2 in descending order.
0.5, w, -2
Suppose -2*b + 20 = 3*b. Suppose 4*c = b*v + 16, -c + 3*v + 12 = -2*c. Suppose c = g - 3*g. Sort 5, -1, g in descending order.
5, g, -1
Let y = 0.02 + -0.1. Let r = 0.38 + y. Sort -2, r, 0.4 in decreasing order.
0.4, r, -2
Let u = 0.26 + 1.94. Let x = -8.2 + 8. Let a = x + u. Sort a, -2, 0.3.
-2, 0.3, a
Suppose 2*n + 30 + 50 = 0. Let z be -2 + (n/28 - -3). Sort z, -17, 2/3 in increasing order.
-17, z, 2/3
Let a = 3.9 + -3. Let c = -4.9 + a. Put c, -2/7, 0.5 in decreasing order.
0.5, -2/7, c
Let f(l) = l**3 - 4*l**2 + 6*l - 4. Let c be f(4). Suppose -2*r + c = 3*r. Suppose 9 = -5*g + r*h, -8*g - 3*h = -4*g + 1. Put 4, 3, g in ascending order.
g, 3, 4
Let u = -16 - -14. Let g = 4/23 - -7/92. Sort 2/13, g, u.
u, 2/13, g
Let c = 0.3 - -3.7. Suppose 0 = -2*g + 4*t - 8, 1 + 5 = 2*t. Sort c, g, 0.2 in decreasing order.
c, g, 0.2
Let j be -2 + (-2 - 18/(-3)). Suppose 0 = -c - j*c. Sort 4, -5, c.
-5, c, 4
Let v(d) = 3*d**2 - 1. Let w be v(1). Let o be w + -2 + 10/2. Let u be ((-4)/10)/(2/(-10)). Sort u, 2/9, o in descending order.
o, u, 2/9
Let s be (4/(-5))/((-2)/5). Suppose -3*u = z - 10, -s*u - 2*u - 3*z + 10 = 0. Suppose 3*c + 9 = u*a, 20 = 5*c + a + 4*a. Sort -4, -2, c.
-4, -2, c
Let v = 4 - 5. Put v, 3, -3 in ascending order.
-3, v, 3
Let s = -0.62 - -0.22. Let v = -1/6 + -1/6. Put s, -3/2, v in decreasing order.
v, s, -3/2
Let k = -8.3 - -8. Let w = 8 + -5. Let b = -2.7 + w. Put 2, k, b in decreasing order.
2, b, k
Suppose 2*u + 3 + 7 = 4*v, -v = u + 2. Sort 0, 9, v.
0, v, 9
Let n = -2.2 - -2.7. Put -7, -2/9, n in descending order.
n, -2/9, -7
Let w(u) = 17*u**2 - u + 1. Let t be w(1). Suppose -3 = -5*n + t. Sort 3, -2, n in descending order.
n, 3, -2
Let t = 3 - 3. Let k = -50 - -47. Sort t, k, 1 in ascending order.
k, t, 1
Suppose -6 - 6 = -3*f. Suppose 3*a - a = f. Let j = -1 - -1. Put j, a, -4 in descending order.
a, j, -4
Let k = -84 - -417/5. Put 2, k, 3 in decreasing order.
3, 2, k
Let g = -40 - -39.89. Sort g, -5, -3 in ascending order.
-5, -3, g
Let d(f) = -3*f + 1. Let k be d(-1). Suppose -4 = 2*a - s, 5*s - 4*s = -2*a - 4. Sort 2, k, a in decreasing order.
k, 2, a
Let u = 3.9 - -0.1. Put -1, u, -3/2 in decreasing order.
u, -1, -3/2
Let t = 2.9 + -2.6. Put -1/7, t, 0.1 in ascending order.
-1/7, 0.1, t
Let l = 902/5 + -181. Sort 0.3, 2/11, l, 3.
l, 2/11, 0.3, 3
Let l = 0.25 + 0.03. Let t = 0.08 - l. Sort -1/3, -2/7, t in decreasing order.
t, -2/7, -1/3
Let h(d) = -d**3 + 4*d**2 - 4*d + 3. Let p be h(2). Suppose 8*a - 7*a = -24*a. Let i(m) = m**2 + 3*m + 2. Let b be i(-3). Sort b, p, a.
a, b, p
Suppose | {
"pile_set_name": "DM Mathematics"
} |
he greatest common factor of 237 and 123?
3
Calculate the greatest common factor of 16476 and 12.
12
What is the highest common divisor of 2480 and 30?
10
Calculate the greatest common divisor of 700 and 8542100.
700
What is the greatest common factor of 320 and 46760?
40
What is the greatest common divisor of 530 and 1866395?
265
What is the greatest common divisor of 785409 and 582?
291
Calculate the greatest common divisor of 288 and 774.
18
Calculate the greatest common divisor of 193989 and 6.
3
Calculate the greatest common divisor of 155 and 339680.
5
Calculate the greatest common divisor of 2013698 and 62.
62
What is the greatest common factor of 170172 and 18?
18
What is the greatest common divisor of 72 and 80118?
18
What is the greatest common divisor of 444 and 584230?
74
What is the greatest common factor of 87327 and 27231?
939
What is the greatest common factor of 25016 and 177?
59
What is the highest common factor of 696112 and 64?
16
What is the greatest common divisor of 120 and 12435?
15
Calculate the highest common factor of 220577 and 21.
7
What is the greatest common factor of 54225 and 432?
9
Calculate the highest common factor of 6096375 and 9.
9
What is the greatest common divisor of 378 and 2877?
21
Calculate the highest common factor of 183431 and 118.
59
What is the highest common divisor of 2194190 and 34?
34
Calculate the highest common divisor of 2852192 and 3264.
544
What is the greatest common factor of 67 and 806881?
67
What is the greatest common divisor of 106 and 28037?
53
Calculate the greatest common factor of 900864 and 621.
207
What is the greatest common divisor of 18981 and 23256?
171
What is the greatest common divisor of 318 and 72186?
318
Calculate the highest common factor of 43119 and 1431.
27
What is the greatest common divisor of 447583 and 57?
19
What is the highest common divisor of 1359 and 72178?
151
What is the greatest common factor of 593328 and 24?
24
Calculate the greatest common factor of 955140 and 12.
12
What is the greatest common factor of 31 and 1302961?
31
Calculate the greatest common divisor of 550 and 80075.
25
What is the highest common divisor of 103682 and 183098?
2206
Calculate the highest common divisor of 1228607 and 85.
17
What is the greatest common factor of 475 and 15325?
25
Calculate the highest common factor of 23328 and 20898.
486
Calculate the highest common divisor of 68174 and 383.
383
Calculate the greatest common divisor of 49 and 14609.
7
What is the highest common factor of 125 and 3035?
5
What is the highest common divisor of 9151530 and 67?
67
What is the highest common factor of 32058 and 90?
18
Calculate the highest common factor of 52871 and 539.
49
What is the highest common factor of 7422747 and 1527?
1527
Calculate the highest common divisor of 333 and 433640.
37
What is the highest common factor of 203377 and 87?
29
Calculate the greatest common factor of 35 and 398405.
35
Calculate the highest common divisor of 5824 and 49868.
364
Calculate the highest common divisor of 880 and 5850020.
220
What is the greatest common divisor of 18874 and 118?
2
What is the greatest common divisor of 1957592 and 312?
104
Calculate the highest common divisor of 46 and 19067.
23
What is the greatest common divisor of 957386 and 314?
314
Calculate the highest common factor of 14337 and 767.
59
What is the highest common divisor of 171589 and 6897?
209
What is the greatest common factor of 45 and 147?
3
Calculate the highest common factor of 7452 and 259164.
828
What is the highest common divisor of 23769 and 340272?
1251
What is the highest common divisor of 2323 and 7084?
23
Calculate the highest common divisor of 24897 and 9264.
579
Calculate the highest common factor of 2185 and 253345.
115
What is the greatest common divisor of 348 and 2059?
29
What is the highest common factor of 378 and 6342?
42
What is the highest common factor of 1792 and 2513?
7
Calculate the highest common factor of 2532251 and 5046.
841
What is the highest common divisor of 81 and 165?
3
What is the greatest common factor of 235 and 24865?
5
Calculate the highest common divisor of 8064 and 4515.
21
What is the highest common divisor of 157 and 1061477?
157
Calculate the highest common divisor of 434245 and 190.
95
What is the highest common divisor of 222 and 10101?
111
Calculate the greatest common divisor of 1551 and 825.
33
Calculate the highest common divisor of 105 and 41685.
105
Calculate the greatest common factor of 957 and 21516.
33
What is the highest common factor of 8043 and 33321?
1149
Calculate the highest common factor of 1108 and 44874.
554
Calculate the greatest common factor of 7498 and 17604.
326
What is the highest common factor of 40 and 1901300?
20
Calculate the highest common divisor of 161 and 149017.
23
Calculate the highest common factor of 5624 and 3848.
296
Calculate the highest common divisor of 282 and 20586.
282
What is the greatest common divisor of 1014 and 167817?
507
What is the greatest common divisor of 16470 and 14762?
122
Calculate the greatest common divisor of 60 and 1975110.
30
What is the highest common factor of 3142 and 18?
2
What is the greatest common divisor of 56 and 89992?
56
Calculate the highest common divisor of 1111440 and 55.
55
Calculate the highest common divisor of 46536 and 888.
24
Calculate the greatest common factor of 1655 and 355.
5
What is the highest common divisor of 3800 and 60?
20
Calculate the greatest common divisor of 13481 and 4394.
13
What is the highest common factor of 116343 and 135?
27
What is the highest common divisor of 855 and 45999?
171
What is the highest common divisor of 540 and 2412?
36
What is the greatest common divisor of 5124808 and 104?
104
What is the highest common divisor of 70027 and 14101?
239
What is the greatest common factor of 407 and 28934?
37
Calculate the greatest common factor of 240 and 13395.
15
Calculate the highest common divisor of 3387 and 48.
3
Calculate the highest common factor of 92245 and 380.
95
What is the highest common divisor of 8 and 146?
2
Calculate the highest common factor of 233292 and 12.
12
Calculate the greatest common factor of 180 and 3711.
3
What is the greatest common factor of 6104 and 77063?
763
Calculate the greatest common divisor of 494 and 112138.
494
Calculate the highest common divisor of 588962 and 198.
22
What is the greatest common factor of 1 and 16396?
1
Calculate the greatest common divisor of 548530 and 665.
95
Calculate the highest common divisor of 220 and 238060.
20
What is the greatest common factor of 28261 and 59?
59
Calculate the highest common divisor of 403806 and 39.
39
What is the highest common factor of 10465 and 49335?
1495
Calculate the greatest common factor of 2127 and 4.
1
Calculate the highest common divisor of 1391320 and 105.
35
Calculate the greatest common divisor of 432 and 720.
144
What is the highest common factor of 284 and 2843692?
284
Calculate the greatest common divisor of 51016 and 1400.
56
Calculate the highest common divisor of 2280698 and 56.
14
What is the greatest common factor of 108 and 69705?
9
What is the highest common factor of 5346 and 42834?
66
What is the highest common divisor of 855 and 11400?
285
Calculate the greatest common factor of 4350 and 522.
174
What is the greatest common factor of 29100 and 2100?
300
What is the greatest common divisor of 81143 and 53?
53
Calculate the greatest common divisor of 8448 and 228.
12
Calculate the greatest common factor of 54 and 249534.
54
What is the highest common factor of 32 and 300952?
8
Calculate the highest common divisor of 57 and 62529.
57
Calculate the greatest common factor of 82520 and 1240.
40
Calculate the highest common factor of 559776 and 2176.
544
Calculate the greatest common factor of 4181 and 1813.
37
What is the greatest common factor of 154947 and 609?
87
What is the highest common factor of 8 and 316?
4
Calculate the highest common divisor of 56800 and 208.
16
Calculate the highest common divisor of 57379 and 98.
49
Calculate the greatest common factor of 1287940 and 10.
10
Calculate the greatest common factor of 21590 and 19685.
635
Calculate the highest common divisor of 390 and 182130.
390
What is the highest common factor of | {
"pile_set_name": "DM Mathematics"
} |
mplify ((u**(8/3)*u)/u)**47/(u**(-16)*u**(-5/6)) assuming u is positive.
u**(853/6)
Simplify (((p**11/p)/p)/p)**(-15)/((((p*p**24)/p)/p)/p*p**32*p) assuming p is positive.
p**(-175)
Simplify ((c**(-11/2)*c)/((c*c/(c**(-5)*c))/c))/((c**(-31)*c)/c**(-15)) assuming c is positive.
c**(11/2)
Simplify (f/f**(-4/11)*f**(-1/7))/(f**(1/7))**(-5/9) assuming f is positive.
f**(901/693)
Simplify (((t*t**(-1/4)*t)/(t**3*t))**(-3/19))**(-11) assuming t is positive.
t**(-297/76)
Simplify (u*u**(14/3)*u*u)**(-1/64)/(u*u/(u*u/(u*u**(3/7))*u*u*u*u)*u)**(-4/3) assuming u is positive.
u**(-2977/1344)
Simplify ((j**(1/35)*(j*j**(-4)*j)/j)**(-39))**(-20) assuming j is positive.
j**(-16224/7)
Simplify (w**(4/3))**13*w**(3/4)*w**0 assuming w is positive.
w**(217/12)
Simplify (i/(i/((i/i**15)/i))*(i**2*i)/i*i)/(i**(-4))**30 assuming i is positive.
i**108
Simplify (u*u/(u**(-22)/u))/u**(1/2)*((u*u**(-12))/u*u)**(-27) assuming u is positive.
u**(643/2)
Simplify f/((f/f**(-2/11))/f*f)*f*f/(f/(f/(f/(((f/f**18)/f)/f))))*f*f*f/(f/(f/(f/f**(1/16))))*f*f**(5/4) assuming f is positive.
f**(-2441/176)
Simplify (v*v**15*v**17*v)/(v*v/(v*v**(-6)))**(1/6) assuming v is positive.
v**(197/6)
Simplify (y*y/y**(-19)*(y/(((y/((y**(13/7)*y)/y))/y)/y))/y)**(-42) assuming y is positive.
y**(-1002)
Simplify i**(-23)*i*i/i**(-13)*i/(i/i**(5/9))*i**(-26) assuming i is positive.
i**(-301/9)
Simplify (r**(-11))**(-3/16)*r**(10/9)*r**(3/16)*r assuming r is positive.
r**(157/36)
Simplify h*h**4*h/h**(5/6)*h*h**(-11)*h*h/(h*h**5)*h*h*h assuming h is positive.
h**(-35/6)
Simplify (l*l**(3/4)*l)/l**(2/21)*(l*l**1)**(-2/9) assuming l is positive.
l**(557/252)
Simplify (m*m**(-1/6)*((m/(m/m**(-2/3)))/m*m)/m*(m*m**(-6/11)*m)/m**2)**(2/13) assuming m is positive.
m**(-7/33)
Simplify (s**27*s**(-3)/s)**(-48) assuming s is positive.
s**(-1104)
Simplify (i**(-2/17))**(-6/17)*i**(-2/9)*i*i*i**(-2/13)*i assuming i is positive.
i**(90127/33813)
Simplify (r**(1/34))**(11/3)/(r**(-11)*r)**(2/31) assuming r is positive.
r**(2381/3162)
Simplify (d/(d**(-15)*d))/d**(1/4)*d**(1/12)*(d*((d*d*d**(8/7)/d)/d)/d)/d assuming d is positive.
d**(629/42)
Simplify (y/((y*y**12*y)/y)*y)**32/(y**(2/17)*y*y**(-19)) assuming y is positive.
y**(-5680/17)
Simplify (n*n/n**(-2/17))**(8/17)*(n**(-10/3)/n)/n**17 assuming n is positive.
n**(-17632/867)
Simplify q*q**2*(q/(q*(q/q**(5/6)*q)/q))/q*(q*q**(-1/5))**(8/7) assuming q is positive.
q**(577/210)
Simplify (t/t**(-19)*t**(-4))/(t**(-1/36)*(t/(t/t**32))/t) assuming t is positive.
t**(-539/36)
Simplify ((a/(a**(-5/9)/a))/a**(4/19))/(((a/(a*((a/(a/a**20))/a)/a*a))/a*a*a)/a*a**18) assuming a is positive.
a**(572/171)
Simplify ((i**(-2/21)/((i**(-7/5)*i)/i*i))/(i**4)**(-19))**(-22) assuming i is positive.
i**(-176264/105)
Simplify (i**(3/19)*i/(i*i*(i*i**(-37)*i)/i*i))**(-1/35) assuming i is positive.
i**(-649/665)
Simplify a**(-5/3)*a*(a/(a**19/a))/a*(a/(a*a**(-4/17)))/(a*a/(((a/(a*a*a/(a*a**(-16)/a*a)))/a)/a)) assuming a is positive.
a**(-2011/51)
Simplify (h*h**(3/14)*h)/h**(-1/17)*(h**(-1/2))**(1/9) assuming h is positive.
h**(2375/1071)
Simplify ((d**(-1/22)/d)**(-1/12))**(-12/13) assuming d is positive.
d**(-23/286)
Simplify q**8*(q/((q**(-7)/q)/q))/q*(q*(q*q**(-2/3))/q)**(-7) assuming q is positive.
q**(44/3)
Simplify (q*q**(-3))**(-48)/((q*(q**(-1/4)*q)/q)/q**(-8)) assuming q is positive.
q**(349/4)
Simplify (i**(-14/5)*i)**(-3/2)/((i/(i/(i*(i**(-3/2)*i)/i)))/(i*i**(2/13))) assuming i is positive.
i**(283/65)
Simplify q**(-4)/(q/(q**2*q))*q**(12/11)*q**(-3) assuming q is positive.
q**(-43/11)
Simplify (((g**(-2)/g)**38)**8)**(2/71) assuming g is positive.
g**(-1824/71)
Simplify c*c**(-4/9)*c*c*c*c**(4/7)/c*(c/(c/(c*c/(c*c**(5/3)*c)*c)))**(-18) assuming c is positive.
c**(953/63)
Simplify (y**(-15)/y*(y*y*y**(2/9)*y)/y)/(y**(3/5)*y*y**(1/5)) assuming y is positive.
y**(-701/45)
Simplify ((c*c*c**(5/11))**(-14))**(4/5) assuming c is positive.
c**(-1512/55)
Simplify z*z/(z/(z/(z**(-1/3)*z*z)))*z**17*(z*z*z*z*z**(-7/4)/z*z)/z**(-2/5) assuming z is positive.
z**(1199/60)
Simplify ((x/(x/x**(-2/3)))/x)**(1/31)*(x**(-2/13)/x)**44 assuming x is positive.
x**(-61445/1209)
Simplify (j/j**(-7/5)*j*j**(-35))**(1/12) assuming j is positive.
j**(-79/30)
Simplify (z**(2/13)*(z*z*(((z/(z/z**12)*z)/z)/z*z)/z)/z)/(z/(z**(2/17)/z))**(-2/29) assuming z is positive.
z**(78726/6409)
Simplify ((v/v**(2/13))/v*v*v**15/v)/(v*v/v**7)**41 assuming v is positive.
v**(2858/13)
Simplify (y/(((y/(y/(y**22/y)))/y)/y*y*y))/(y*y/(y**(8/5)*y*y*y))*y/y**(2/7)*y/(y/y**(-6)*y) assuming y is positive.
y**(-829/35)
Simplify ((y*y**(-1))**(-6/7)*(y*(y/y**(-1))/y)**2)**(2/47) assuming y is positive.
y**(8/47)
Simplify (((a/(a/(a/(a**6/a))))/a*(a**(1/3)/a)/a)/(a*a/(a**(-8)/a)*(a*a**4*a)/a))**45 assuming a is positive.
a**(-1020)
Simplify ((y/(y*y*(y**(2/125)*y)/y*y*y)*y)/y**13)/((y/(y**16/y)*y)/y**(11/2)) assuming y is positive.
y**(871/250)
Simplify (z/(z*z**11))/z**5*(z**8*z)/((z**(1/19)/z)/z) assuming z is positive.
z**(-96/19)
Simplify ((h/(h**(-3/4)*h)*h)/h**28)/(h/(h*(h**(-3/10)*h)/h*h)*h)**(-2/7) assuming h is positive.
h**(-3663/140)
Simplify (h**(-1/7))**(14/9)/(h**(1/19)/(h*h**(1/31)*h)) assuming h is positive.
h**(9316/5301)
Simplify ((u*(u/(u*u**0/u)*u)/u*(u*(u*u*(u*u*u**(-5))/u*u)/u)/u)**(-34))**(12/7) assuming u is positive.
1
Simplify (l**(-1/20)*l*l**(4/15))**(-5/9) assuming l is positive.
l**(-73/108)
Simplify z**(-5/3)*z**35*(z/(z/(z*z**(-24))*z))**(-1/22) assuming z is positive.
z**(1136/33)
Simplify ((c/(c/(((c**(8/11)*c)/c)/c*c*c)))/c**(-5/3))**(-19/2) assuming c is positive.
c**(-1064/33)
Simplify ((c**7*c)/c*c**(2/15))**20 assuming c is positive.
c**(428/3)
Simplify (j/j**(-4/5)*j/j**(1/25))/(((j**(3/4)/j)/j*j)/j*j**(4/7)*j) assuming j is positive.
j**(1707/700)
Simplify ((j/(j/j**(-10)))/(j**(2/27)*j))/((j**9*j)/j)**(-2/111) assuming j is positive.
j**(-10901/999)
Simplify (z/((z*z**0)/z))**(-3/10)/(((z*z**(-1/6)*z)/z*z)/(z/(z/(z*z**(-4)*z)*z))) assuming z is positive.
z**(-77/15)
Simplify i**13*i*i**(-5/7)*(i*i**(-6/5)/i*i)/(i*i**(2/33)) assuming i is positive.
i**(13889/1155)
Simplify (m**(-1/4)/m)**6/((m*m**(-1/15))/(m*m/m**(-1)*m)) assuming m is positive.
m**(-133/30)
Simplify (q*q**(-3)*q)**32*(((q/((q/q**(3/5))/q))/q*q)/q)/((q*q*q**5)/q) assuming q is positive.
q**(-187/5)
Simplify ((k**(1/16)/k)/k*k**9/k)/(k**(-1/7)/(((k*(k/((k**(-3/7)*k*k*k)/k)*k)/k)/k)/k)) assuming k is positive.
k**(519/112)
Simplify ((d*d**(-7)*d)/d)**2*(d*(d/(d**18*d))/d)/(d*d*d**(-9)) assuming d is positive.
d**(-23)
Simplify ((y**(-1/11)/y)/y**(1/14))/((y/y**(-2/5))/y*y)**(-7) assuming y is positive.
y**(6651/770)
Simplify ((l**(-3)*l*l*l**(2/5))/((l*l**3)/l*l*l**(2/9)))**(-6/7) assuming l is positive.
l**(62/15)
Simplify (((((t/((t**0*t)/t*t))/t)/t*t)/t)/(t*(t/(t**(-4)/t))/t)*(t**(-3)/t)/(t/(t/(t**3*t))))**0 assuming t is positive.
1
Simplify c/(c/(((c/c**(2/17))/c)/c))*c**(6/13)*((c*(c*(c**(-22)/c)/c)/c)/c*c)/c*c**(-2/33) assuming c is positive.
c**(-180259/7293)
Simplify ((j**(5/7)*j)/j*j**(2/11)*(j**2)**(-1/44))**(-36) assuming j is positive.
j**(-2358/77)
Simplify (l**(2/23)*l*l/(l*l**13))/(l**(3/5)/(l**6/l)) assuming l is positive.
l**(-864/115)
Simplify (f**(-17)*f)**(43/5)*f*f*f/(f/f**(-2/5)*f)*f*f*f*f*f/(f**7*f) assuming f is positive.
f**(-140)
Simplify (w**(-1/6))**48*(w**(-1)/w)**(-39) assuming w is positive.
w**70
Simplify (o**(-5)*o*o/(((o*(o*o**(2/13))/o)/o*o*o)/o))/(o*o/(o**(1/3)*o)*o*o**(1/2)) assuming o is positive.
o**(-493/78)
Simplify (q**(1/4))**(-37/3)*(q**(-3/8)/q)/(q/q**1*q*q) assuming q is positive.
q**(-155/24)
Simplify (q**(-4)/((q/(q/(q/(q**(2/11)/q)))*q)/q*q)*(q**0/q)**(4/17))**(-2/29) assuming q is positive.
q**(2638/5423)
Simplify (((d**(-2/11)/d*d)/d)**(-11))**34 assuming d is positive.
d**442
Simplify (x**(-2))**5/(((x**(-1/4)/x)/x)/x)**34 assuming x is positive.
x**(201/2)
Simplify (l**11/(l**(-10)/l))/((l/l**(2/7)*l)/(l/((l/(l/(l*l**4)))/l)*l)) assuming l is positive.
l**(128/7)
Simplify (g*g*(g/(g/(g**(-1/20)/g)))/g)/g*g*g**(-6)*g*g**11*g/(g*g**1) assuming g is positive.
g**(99/20)
Simplify ((n**(-2/41)*n)/(n**(-6/13)/n))/(n**(-22/3)*(n/(n*(n*(n**(-6/7)/n)/n*n)/n*n))/n) assuming n is positive.
n**(110687/11193)
Simplify (c**2/(c/c**(-8/3)*c))**1 assuming c is positive.
c**( | {
"pile_set_name": "DM Mathematics"
} |
-3. Which is the third smallest value? (a) z (b) m (c) 5
c
Let c = -1.7 - 2.3. Suppose -3 = -o + 4*o. Let k be 2*-1 - (-3 - o). What is the third biggest value in 4, k, c?
c
Let s = 673/3 - 225. Let j be (1/(-3))/((-2)/2). Which is the second biggest value? (a) j (b) -3/8 (c) s
b
Let x = 5.5 + 16.5. Let f = x - 22. Let v = -0.4 + -0.1. Which is the second biggest value? (a) f (b) v (c) 4
a
Let j = -0.2 - -2.1. Let u = j + -0.9. Which is the smallest value? (a) -3 (b) u (c) 0.04
a
Let v = 0.07 - 5.07. Let z = -0.7 + 1.4. Let g = -1.1 + z. What is the smallest value in v, g, 2/5?
v
Let x = 29 - 24.1. Let j = 0.1 + x. Let v = 0.6 - 2.6. Which is the third smallest value? (a) j (b) 1/7 (c) v
a
Let q be 3/4*(-16)/(-18). What is the third biggest value in 0.2, q, 3?
0.2
Let g = 0.068 + 22.432. Let u = g - 22. Let l = 8 - 8.3. Which is the second smallest value? (a) 3 (b) l (c) u
c
Let l = -9 - -10.4. Let p = l - 1.9. Which is the second smallest value? (a) p (b) -0.3 (c) 5
b
Suppose 3*s + 4*d + 3 = d, -s + 2*d + 8 = 0. What is the second biggest value in 1, s, -1/12, -0.2?
1
Let r = 0.1 - -1.9. Which is the third smallest value? (a) 1 (b) 0 (c) r
c
Suppose -s = 3*s + 4*j - 36, 80 = 5*s - 2*j. Let n = s - 17. What is the third biggest value in 1, n, -0.2?
n
Let j = 0.347 + 0.153. What is the biggest value in 13, -1, j?
13
Let z be 9/4 + (-2)/8. Let j be 3 - z/(8/13). Which is the third smallest value? (a) -2/5 (b) j (c) 4
c
Let n = 2.2 - 2. Let v = 3 + 0. Let q = 18 + -19. Which is the third smallest value? (a) n (b) q (c) v
c
Let i = -6 + 3. Let x = -0.83 + 0.33. Which is the second smallest value? (a) i (b) x (c) 8
b
Let v = -5.49 - -0.49. What is the fourth smallest value in v, -1/3, 4, 0.1?
4
Suppose -3*q - d + 16 = 0, d - 4 = 2*q - 2*d. Which is the third smallest value? (a) -0.2 (b) 1/8 (c) q
c
Let m = -25150698/155 + 162262. Let n = 1/31 - m. Which is the smallest value? (a) 0 (b) n (c) -2/9
c
Let v = -6 - -16. Let d = v + -12.1. Let h = -2 - d. Which is the smallest value? (a) -3 (b) 0 (c) h
a
Let n be (20/15)/(4/(-70)). Suppose 5*i = -0*i - 15, 2*i + 29 = -k. Let s = k - n. What is the second biggest value in s, 2, -0.4?
s
Suppose -3*u - 15 = -0*u. Let h = u + 43/9. Let i = -4 + 3. Which is the third smallest value? (a) -0.5 (b) i (c) h
c
Let i = 27 + -27.05. What is the second biggest value in 1, 0.2, i?
0.2
Let r = -113 - -109. Let y = -2 + 1. What is the biggest value in r, -1/2, y?
-1/2
Let u = -9.9 - -10. Suppose 5*d = w + 2 - 18, 4*w + d = 1. Which is the smallest value? (a) -1 (b) w (c) u
a
Let n = 0.09 + -0.15. Let h = n - 0.24. Which is the third smallest value? (a) -0.4 (b) 0.05 (c) h
b
Let l be ((-1)/(-14))/(4/(-8)). Which is the biggest value? (a) 4/7 (b) 0.1 (c) l (d) -5
a
Let x be (3/(-3))/(-1)*-2. Let m = -12 + 20. Let u = -13 + m. Which is the third biggest value? (a) 2/9 (b) x (c) u
c
Let z = 743.19 - 739. Let o = z - 0.19. Which is the smallest value? (a) -0.5 (b) o (c) -2
c
Let k = 4 + 0. What is the smallest value in 1, k, -4?
-4
Let r = -31 + 31.4. What is the smallest value in r, -0.12, -3/2?
-3/2
Let n = 3.5 - 3. Let q = 0.8 - n. Let v = -0.88 - -0.58. Which is the third smallest value? (a) q (b) v (c) -2/11
a
Let b be (-2)/7 - (-3)/84. Let j = 214211/87 + -2463. Let q = j + 4/29. What is the smallest value in 5, b, q?
q
Let b = -10 + 7. What is the second smallest value in 1/12, 1/6, b?
1/12
Let p = -35/3 - -271/24. Which is the third smallest value? (a) 3 (b) p (c) 1/3
a
Let k = -34 + 33.5. Let p = 0.1 - 0.08. Which is the second smallest value? (a) p (b) 1/6 (c) k
a
Let g = 26 + -31. Which is the fourth biggest value? (a) 1 (b) -2 (c) -0.4 (d) g
d
Let m = 0.2 + -0.1. Let t = -0.1 - m. What is the second smallest value in -3, 3, t?
t
Let h = 0.44 + -0.04. Let i = -2.4 + 2. Let k = h + i. What is the third smallest value in 2/11, 1/4, k?
1/4
Let g = 11 - 10.6. Which is the smallest value? (a) -3/2 (b) g (c) 2
a
Let x be (-12)/(-9) + (5 + -2 - 5). Let s = -4.04 - -0.04. What is the third smallest value in s, x, -2?
x
Let q = -1/84 + 1891/84. Suppose -2*l + 2*d = 52, -2*l + 2*d = -3*d + 61. Let v = q + l. What is the biggest value in 0, 0.2, v?
0.2
Suppose 2*r - 25 = -5*b, -4*b + 2*b = -5*r - 10. What is the second biggest value in r, -6/13, -2/13?
-2/13
Let p = -6 - -6.4. What is the second biggest value in -4/3, -3, p?
-4/3
Let t = -5/12 - 1/12. Which is the fourth biggest value? (a) t (b) 2/7 (c) 0 (d) 0.3
a
Let c = 38 + -41.1. What is the third smallest value in 0.2, -0.4, c?
0.2
Let q be 8/36 + (0 - 0). Let s(d) = d + 12. Let t be s(-9). Suppose 0 = t*w + 2*w - 25. Which is the biggest value? (a) w (b) -4 (c) q
a
Suppose 2*l = -3*l - 15. Which is the third biggest value? (a) 2 (b) -10 (c) l
b
Let x = 0.04 + -0.04. Let u = -4 + x. Which is the biggest value? (a) -0.2 (b) u (c) -1
a
Let u = -64/11 + 598/99. Let j = 11.9 - 12. What is the third biggest value in j, 4, u?
j
Let y be ((-5)/10)/(29/6). Let o = -47/174 - y. Let j = 5 - 10. Which is the third smallest value? (a) o (b) -3/4 (c) j
a
Let d = -13.2 + 13. What is the second biggest value in -3, d, 4/7?
d
Suppose 2*b = 2*a, 0*b - 6 = 2*b. Let x = -5 - a. Let r be x/4*(-1)/(-2). What is the smallest value in 3/5, r, 0.2?
r
Let h(z) = 3*z - 8. Let u be h(1). What is the biggest value in 5, u, -0.4, -3?
5
Let o = 94 - 93.5. Which is the smallest value? (a) 5 (b) 2/13 (c) o
b
Let g = -11 - -7. Let n = 0.02 - -0.28. Let q = n + -0.1. Which is the second biggest value? (a) 4 (b) g (c) q
c
Let b = -0.6 - -1.6. Let w = -0.9 + b. What is the second biggest value in -1/5, w, 5/2?
w
Let b = -20/9 - -13/18. Let k = -20 + 25. Let o = -0.5 + 0.3. What is the third smallest value in k, o, b?
k
Let i = -2 + -0.5. Let v = 0.5 - i. What is the smallest value in 0.2, v, 0.3?
0.2
Let i be 37/(-7) - (-4)/14. What is the smallest value in 5, 0.1, i?
i
Let i = -3 - -6. Let f = 2 - i. Let g = 2 + f. What is the third biggest value in g, -3, -2/3?
-3
Let v be ((-8)/(-14)*-1)/(-6). Let y = 1.02 - 0.82. Which is the smallest value? (a) -1 (b) v (c) y
a
Let o = 0.24 - 1.44. Let m = 5.2 + o. Which is the biggest value? (a) 5 (b) -2/7 (c) m
a
Let m = -0.45 - -4.85. Let s = m - 4. What is the third smallest value in 0.2, -5, s?
s
Let c = 52 + -49. Let f = -0.1 - -0.1. What is the third biggest value in f, 0.1, c?
f
Let j be -1 - (-2)/(3*(-2)/(-12)). Let v = -0.3 - -0.5. Let r = v + -0.2. Which is the second biggest value? (a) j (b) -0.5 (c) r
c
Let w = -1.15 + -0.05. Let g = 1.4 + w. Which is the biggest value? (a) 1 (b) g (c) 4
c
Let l = -8/13 - -19/52. What is the smallest value in 0.1, 0.2, -0.2, l?
l
Let s = 50 + -152/3. Let z = 17/3 + -6. What is the third smallest value in s, 3/2, z?
3/2
Let o(s) = 34*s. Let r be o(4). Let g be r/(-264) + (-4)/(-22). Which is the second smallest value? (a) -0.1 (b) g (c) 0.1
a
Let k = -1.51 + 1.4. Let d = k + -4.89. Let w = -8 + 41/5. Which is the smallest value? (a) -2 (b) d (c) w
b
Let x = -0.4 - -0.2. What is the second biggest value in 1, 0.1, x?
0.1
Let w = 1 + -0.6. Let n be (-2)/((-27)/(-6) - 4). What is the biggest value in 5, w, n?
5
Suppose 3*x + 6 = 2*x. Let m be (-136)/14 + (-4)/14. Let n = m - x. Which is the second biggest value? (a) -2 (b) n (c) -3
c
Let x be 2 - (17/15 + 1). Let m = -4 - -5. Let d = m - 1. Which is the second smallest value? (a) d (b) x (c) 0.2
a
Let x be (-2)/(-7) + 772/42. Let q be ((-158)/(-63))/((-2)/(-15)). Let v = q - x. What is the second biggest value in -5, 0, v?
0
Let u be 1 + (3 - (1 + 1)). Which is the third biggest value? (a) u (b) -0.06 (c) 1
b
Let x = -20/39 - 2/13. Suppose m = 1 + 2. Let r be (-1)/(-10)*(m - 2). Which is the second biggest value? (a) r (b) 4 (c) x
a
Suppose -10 = -3*s + 4*t, -2*t + 1 = 4*s - 5. Suppose 5*h + 5*z - 10 = 0, -z = z + s. Let j = -3 - -3.2. What is the smallest value in 3/4, j, h?
j
Let b = 5 + 1. Let v = -3 + b. What is the smallest value in 0, 1, v?
0
Let a = 1 + 2. Let r = -5/12 + 7/6. What is the second biggest value in -0.3, r, a?
r
Suppose w - 2*w - 5 = 0. Let p = 0.1 + 0.3. Which is the biggest value? (a) w (b) p (c) -5/3
b
Let x(k) = 5 | {
"pile_set_name": "DM Mathematics"
} |
Suppose n = 5*a - 13, -4*a + 78 = 3*n + 22. What is the smallest common multiple of 18 and n?
36
Let w(s) be the third derivative of -23*s**6/120 + s**5/30 - s**4/24 - 4*s**2. Let t be w(1). Let j = t + 34. Calculate the least common multiple of 18 and j.
36
Let i = 1669 + -1651. Calculate the smallest common multiple of i and 3.
18
Suppose 2*x - 2 + 6 = 0. Let l = -3239 - -16252/5. What is the common denominator of l and -3 + 69/x + 1?
10
Suppose -5*m = -5*a + 20, 2*a = 5*a - 5*m - 18. Let t(p) = 19*p**3 - p**2 + p - 1. Calculate the least common multiple of t(a) and 40.
360
Let w(q) = q**3 - 2*q**2 - 7*q - 7. Let m be w(4). Find the common denominator of m*1 - 98/(-18) and ((-16)/5)/(36/(-50)).
9
Let t = -286 + 637. What is the common denominator of (-906)/16*52/t and (-2)/8 - 38/88?
198
Let y(u) = u - 5. Let n = -16 + 21. Let k be y(n). Calculate the common denominator of k + ((-105)/(-16))/(-7) and 81/20.
80
Let h(f) = -7*f**2 + f - 1. Let p be h(1). Let g be 2/p - (-1756)/6097. Let k = g + -6115/7839. Find the common denominator of k and -71/8.
72
Suppose -15 = -x + 5*v, -v = -x - 7 + 2. Let z = 8 - x. What is the smallest common multiple of 6 and z?
18
Let z(s) = 78*s**3 - 5*s**2 + 4*s. Calculate the lowest common multiple of z(1) and 238.
2618
Let k = -2353879/3704634 + 303/4379. Let t = 1/94 + k. Find the common denominator of t and (-185)/15 + (-2)/(-4).
18
Let s = -3 + -7. Let w be (-877)/(-450) - 5/s. Let l = w + 11/25. Calculate the common denominator of -48/11 and l.
99
Let d = 90 - 90. Suppose -k + 2*b + 16 - 2 = d, 0 = b - 1. What is the smallest common multiple of k and 36?
144
Suppose 7*u - 10 = -5*g + 2*u, -4*g - 5*u + 6 = 0. Calculate the least common multiple of 9 and 1/(0 + 3/9) + g.
63
Find the common denominator of 65/3 and 32/((-56)/(-7)) - (-292)/(-66).
33
Suppose -9*q - 5*q - 70 = 0. What is the common denominator of 57/7 and q/(-10) + (-74)/3?
42
Let q be ((-22)/3)/(2/(-15)). Calculate the common denominator of 63/16 and (2/q)/((-24)/2190).
176
Let v be 6/(-12)*(-4)/1. Suppose -3*h = -9, v*z - h = -4*h - 21. What is the common denominator of (38/(-8))/(z/(-90)) and -131/18?
18
Let t(a) = -a - 3. Let v be t(-1). Find the common denominator of -37/3 and (v + 74/6)/((-8)/(-18)).
12
Let t = -287 + 331. What is the least common multiple of 76 and t?
836
Let j = 413 + -337. What is the lowest common multiple of 16 and j?
304
Suppose 2*g = -15 - 301. Find the common denominator of 1*g*(-3)/(-12) and ((-2)/36)/(2*2/(-246)).
12
Let i(s) = -3*s - 2. Let v(f) be the second derivative of -f**3/6 + 21*f**2/2 + 4*f. What is the smallest common multiple of v(12) and i(-2)?
36
Suppose 0 = -u + 2 + 43. Let s = 67 - u. Calculate the lowest common multiple of 6 and s.
66
Suppose -h + 2*h - 30 = c, 0 = -5*h - 4*c + 132. Suppose -5*t - 2*z = -18, -3*t + z + 9 = 4*z. Calculate the lowest common multiple of t and h.
28
Let w(t) = -3*t**2 - t**2 - 5*t + 5*t**2 - 4. What is the least common multiple of 36 and w(7)?
180
What is the common denominator of ((-833)/(-85))/((-32)/(-10)) and 67/22?
176
Let p = -28971/8 - -3615. Let w = 12 + -9. What is the common denominator of p and (-3)/w + 47/6?
24
Let a(s) = -2*s + 1. Let i be a(3). Let n be 37/i - (-2)/5. What is the common denominator of (-350)/12 - n/(-21) and -91/8?
8
Suppose 2*f + 0 = 8. Let h = -19 - -22. Suppose -2*n = -5*o + 100, -h*o - n + 3 + 46 = 0. Calculate the least common multiple of o and f.
36
Suppose 0 = 5*c + 5*x - 5 - 30, x = -3*c + 13. Suppose -c*j - 3 = 4*y - 2, 3 = -j. Suppose -5*t + 20 = -3*t. What is the smallest common multiple of y and t?
10
Let y be -27*(-5)/((-45)/(-6)). Calculate the least common multiple of 10 and (4 - y - -4)/(-1).
10
Find the common denominator of 8 + (-4612)/672 + -2 and 85/54.
1512
Let o = -2 - -12. Suppose -3*x = o + 2. Let g(n) = -n**3 - 3*n**2 + n - 4. What is the lowest common multiple of 20 and g(x)?
40
Suppose i + 5*b + 10 = 0, 11*b + 24 = 4*i + 15*b. Suppose 2*s - 5*s = -204. What is the smallest common multiple of s and i?
340
Let d = -31480/9 + 3502. Calculate the common denominator of (-2)/(-7) - (-59)/63 and d.
9
Calculate the common denominator of (7991/(-31476))/((-1)/(-2)) and 14/33.
2838
What is the common denominator of (-5)/(40/(-32)) + 16/(-17) and 20/3?
51
Let w be 0 + 0 + -1 - 13312. Let s = w - -212939/16. Find the common denominator of s and (-1419)/220 + 2*1.
80
Let r(w) = -91*w + 7. Let k be r(8). Let v = k + 438. Let n = -1990/7 - v. What is the common denominator of n and 37/3?
21
Find the common denominator of (-70)/140*(-38)/(-10) and -103/6.
30
Let t = -46 - -33. Suppose -3*j + 2*c = -89, 7*j - 3*j - 104 = -c. What is the least common multiple of j and t/(-2) - 2/(-4)?
189
Suppose 23 - 99 = -4*p. Calculate the common denominator of -1 - (0 - 166/18) and -3 - (p/(-10) + 2).
90
Let z be 8420/(-4664) + 2/(-4). Let w = -11/106 + z. Find the common denominator of (((-60)/(-18))/10)/((-42)/225) and w.
154
Let s be (1088/6)/(-1) + -1. Let g = -7685/42 - s. Calculate the common denominator of ((-10)/15)/(88/630) and g.
154
Let v = -3699/136 - -286/17. Find the common denominator of v and -79/10.
40
Let j be ((-250)/15)/((-2)/93). Let g = j + -12493/16. What is the common denominator of g and (-26)/(-130)*105/2?
16
Suppose 181 = 3*g + 97. What is the least common multiple of g and 7?
28
Suppose -x + d + 38 = 4*d, -2*x = 2*d - 92. Suppose 4*u + 20 = -2*p, 4*p + 2*u = -p - x. Let w = p - -18. What is the smallest common multiple of 12 and w?
24
Let c = 27 + -34. Find the common denominator of 3934/784 - (-1)/c and 99/20.
40
Let f(u) = -6*u**2 - u + 5. Let o(k) = 2 + k - 4 - 3*k**2 + 2*k**2 + 4*k**2. Let m(q) = 2*f(q) + 5*o(q). What is the smallest common multiple of 6 and m(-3)?
18
Let n be (2/(-8))/((-155)/764020). Let p = -546586/341 - n. Let d = p + 2833. What is the common denominator of d and -151/6?
66
Let u = -773 - -1148. Calculate the least common multiple of u and 30.
750
Suppose 78 = 4*n + 5*d, 0*d - 40 = -2*n - 2*d. Suppose s - 46 = -n. What is the smallest common multiple of s and 8?
24
Suppose -3*s - 28 = -4*b - 216, 3*s = -b + 193. What is the least common multiple of 10 and s?
320
Let i = -47267/78 + 606. What is the common denominator of i and 53/39?
78
Calculate the common denominator of ((-572)/(-33) - 11)/((-8)/(-9)) and 33/29.
232
Let t = 309 - 307. Let s(g) = 4*g - 1. Let d be s(-1). Let r = t - d. Calculate the lowest common multiple of 8 and r.
56
Suppose 5*a + 43 - 18 = 0, -u + 4*a = -484. Calculate the least common multiple of 8 and u.
464
Suppose 0 = 9*m + m - 20. Suppose -22*u - 503 + 1955 = 0. Calculate the lowest common multiple of m and u.
66
Let f(s) = 25*s + 52. What is the smallest common multiple of 104 and f(0)?
104
Let v(g) = -g - 7. Let t be v(-6). Calculate the common denominator of -27/2 and (t - -231)*(-12)/(-336).
14
Suppose 58 = -14*r + 142. Let o(q) = q**3 + 5*q**2 - q. What is the least common multiple of r and o(-3)?
42
Suppose -3*c + 4*s + 20 = -0*s, 25 = -5*s. Suppose c = -j + 2*t - 9, 20 = 5*j + t + 2*t. What is the lowest common multiple of j and 26?
26
Find the common denominator of 89/20 and 3956/60168*1/1.
6540
Find the common denominator of ((-6)/20)/((-21)/882) and -32/131.
655
Let k = 22/193 + 8189/965. Calculate the common denominator of 17/322 and k.
1610
Let z be -1*(-2 + 1) + (20 - 36). What is the lowest common multiple of 4 and 6/(-15) + (-21)/z*6?
8
Calculate the least common multiple of (-40)/(-105)*-9*(-7)/2 and 32.
96
Suppose -i + 9 = 5*p + 14, -3*i + 13 = p. Calculate the common denominator of -143/24 and (-2)/12*p/(-7).
168
Let w be (-10)/(3*4/12). Let q = -9 - w. What is the common denominator of 213/42*q - 3 and 119/10?
70
Suppose -5*k = 5*c - 25, -2*c - 29 = -7*c - 3*k. What is the lowest common multiple of 70 and c?
70
Let i(g) = -80957260*g**2 - 2*g - 2. Let t be i(3). Let y = t - -10882598850781/14936. Let r = 2/1867 + y. What is the common denominator of -11/4 and r?
8
Let v = 5008 + -230351/46. Calculate the common denominator of v and -31/6.
138
Calculate the smallest common multiple of 7 and (-1)/(8/(-20))*462/55.
21
Suppose 7*t = 8*t + 9. What is the common denominator of -37/5 and t/5 - (-7 + 11)?
5
Let z be ((-389643)/(-10))/(12/2). Let v = | {
"pile_set_name": "DM Mathematics"
} |
0.5 (e) 99
c
Which is the nearest to -1/3? (a) -9 (b) 95 (c) 9 (d) -0.12
d
Which is the nearest to 2/7? (a) -24 (b) -34.1 (c) 0.2 (d) 15
c
Which is the nearest to -4? (a) -0.5 (b) -496 (c) 0.0492
a
What is the nearest to -0.1 in 10/13, -157, 25?
10/13
Which is the closest to -7? (a) 2/33 (b) 2 (c) -4 (d) -70 (e) 0.5 (f) -3/14
c
Which is the nearest to 1/2? (a) -0.4 (b) 3819 (c) -0.1 (d) -109.2 (e) 2/15
e
Which is the closest to 1/14? (a) 2/3 (b) -2697 (c) 1/2
c
What is the closest to 50 in 4, 271, 66/7?
66/7
What is the closest to 0.30382 in -1, 0.4, -0.1, 1/9?
0.4
Which is the closest to 2? (a) 0.1 (b) -127.49 (c) 0.9
c
Which is the nearest to -3/61? (a) -155 (b) -55/8 (c) 6
c
What is the closest to -52.5 in 19/96, -4, 7, 0.5?
-4
What is the nearest to 2/3 in -574821/8, -4/3, 3?
-4/3
What is the closest to 1/3227 in -0.5, -2, -0.45, 0?
0
What is the closest to -20 in 0, 2/11, 4, -52, 5?
0
What is the closest to -2/7 in 0.2, 4, 3.1, 0, 175092?
0
What is the nearest to 2 in -0.4, -0.57232, -0.3?
-0.3
Which is the nearest to 12? (a) -0.6 (b) 4 (c) -12.246
b
What is the closest to 1 in 7, -1, -14, -1/3, 57/8?
-1/3
Which is the nearest to -1? (a) 248734 (b) 2/91 (c) 1/3
b
Which is the nearest to -1? (a) 0.3 (b) 0.5 (c) -54 (d) 1 (e) 0.2
e
Which is the nearest to -3/16? (a) -0.5 (b) 38015 (c) -2/3
a
Which is the closest to 155/3? (a) 2 (b) -1/15 (c) -1.19
a
What is the nearest to 38 in 53, 4, 0.018, -0.078, 0, 2?
53
What is the closest to 0 in 3, 0.3, -0.8, -3489, -4?
0.3
Which is the closest to -221? (a) -0.02 (b) 54 (c) -2 (d) 1/9 (e) -2/15
c
What is the nearest to 0.02 in 0, -0.03, 8/209?
8/209
What is the closest to -1.1 in 146, 3/7, 0, -70?
0
What is the nearest to -45 in -3, 2/41, -2/7, -3/2, -51?
-51
Which is the closest to 1? (a) -185 (b) 4 (c) -36/17 (d) -3/5
d
Which is the closest to 0? (a) 0 (b) -54 (c) -3 (d) -13 (e) -5512
a
What is the nearest to -6 in -2, 572, 26, 0?
-2
What is the nearest to -2 in 1/3, 615, 2/95, -0.8?
-0.8
Which is the nearest to 0.3? (a) 2 (b) 1 (c) 2/11 (d) -14 (e) -8 (f) 15
c
What is the closest to 3 in -0.14, 0.06, 9, 421?
0.06
What is the nearest to -4 in -4, 4, -27703?
-4
Which is the nearest to 2? (a) 2/11 (b) -25 (c) 0.4 (d) -0.1 (e) -0.04 (f) 1/2
f
Which is the closest to 4/9? (a) 7 (b) -1 (c) -0.2 (d) 208.42 (e) 13
c
Which is the nearest to 2? (a) -0.3 (b) 1513320 (c) 4
c
Which is the nearest to 202? (a) -6/7 (b) -100 (c) 0 (d) 3/4 (e) 8
e
Which is the closest to -0.2? (a) 2 (b) 7739 (c) 0 (d) -3 (e) 3.9
c
Which is the closest to -2? (a) -5 (b) -0.05 (c) 3109 (d) -5/37 (e) -6/5
e
Which is the closest to 0? (a) -21 (b) -5/6 (c) -529
b
What is the closest to -29 in -0.01208, -3, 3?
-3
What is the closest to 2/3 in 29403, 9, 0.75?
0.75
Which is the nearest to -923? (a) -1.5 (b) 93/2 (c) 3
a
What is the closest to 0.2 in -5, -1, 0.6, 568, -0.007?
-0.007
Which is the nearest to 1? (a) 175 (b) -0.5 (c) -1168 (d) 4
b
What is the closest to 2/9 in 2/9, 5/2, -28, -1/5, 0.32, 0.08?
2/9
Which is the closest to -2/7? (a) 4 (b) 3/4 (c) -1/7 (d) 0.5624 (e) 2/19 (f) -2.5
c
What is the closest to 0.2 in 5, -2/17, 0.2, 0, 30039?
0.2
What is the closest to 1 in -1/5, -6, -0.4, -1/13316?
-1/13316
What is the nearest to -0.1 in 2/1583, 0.14, 0.3, -3457, 2/5?
2/1583
What is the closest to 2/9 in 100.3, 2382, 1/4?
1/4
What is the closest to 1 in 22, 0.4, 1/15, 39, -664?
0.4
Which is the closest to -0.1? (a) 2/11 (b) -1 (c) -1.2 (d) 3661.5 (e) 0.2 (f) 0.3
a
What is the nearest to -0.544 in 0, -67, -79, 0.3?
0
What is the nearest to -71.7 in 0.1, -2, 0, 4, -262, 1/4?
-2
What is the nearest to 0.2 in 67, 4/7, 37, -3?
4/7
What is the closest to -0.02 in -0.74, 2, 114, -0.4?
-0.4
Which is the nearest to 2/9? (a) 6/139 (b) 1 (c) 5 (d) -3 (e) -454 (f) -0.5
a
Which is the closest to 1? (a) -4 (b) -1/4 (c) -0.2 (d) -1.02 (e) 2/231
e
Which is the nearest to 7? (a) -3 (b) -2/3 (c) -1/2 (d) -14/827 (e) 0.9
e
Which is the closest to 2201? (a) 0.181 (b) 0.4 (c) 0 (d) -4
b
What is the closest to 324 in -0.05, -5, 210, -0.1, 0.5?
210
Which is the closest to 9? (a) 68.4 (b) 22 (c) 1.6
c
What is the closest to 1/88 in 0.023, 1/4, -2/19, -22?
0.023
What is the closest to -1 in 3/4, 1508, 3, -4556?
3/4
Which is the nearest to -6.5? (a) 1/5 (b) -3/65 (c) 2 (d) 0.3
b
What is the closest to 0.121 in -6, 2, 11, -5?
2
Which is the closest to 0.7? (a) 184/7 (b) 2 (c) -1 (d) 14.1 (e) -0.4
e
Which is the nearest to 1? (a) -2/5 (b) -8727 (c) 1
c
What is the closest to -1963 in 8, 0.46, 4?
0.46
What is the closest to -2360 in 5, -0.2, -5, -2/7, -0.06?
-5
Which is the nearest to -17769? (a) 3 (b) 5 (c) -0.328
c
Which is the closest to -0.1123? (a) -2.8 (b) 0.03 (c) 5 (d) -0.3
b
Which is the nearest to 0.1? (a) -5 (b) 0 (c) -276759
b
Which is the nearest to -14? (a) 3687 (b) -1/3 (c) -1 (d) -4 (e) -3
d
What is the closest to -1 in 0.07, 67.89, 0.1, 8, -2/33?
-2/33
What is the nearest to 0 in 1/2, -13, 3, 194, -162?
1/2
Which is the nearest to 0.1? (a) -7 (b) 3/4 (c) -0.07 (d) -2/7 (e) 240 (f) -5
c
Which is the nearest to 2/33? (a) -1171 (b) -6 (c) -0.226 (d) 0
d
Which is the nearest to 2? (a) 2/3 (b) 10566 (c) 0 (d) 8/3
d
What is the nearest to 1 in 2/3, 2, 1341.024, -3?
2/3
What is the nearest to 387 in 2/15, -1, 3/7, -3, 16?
16
Which is the closest to -209? (a) 2 (b) 1/4 (c) 0.03 (d) 0.1 (e) -805
c
What is the nearest to 14 in 2/11, -3, -7, -8?
2/11
What is the closest to 44 in -0.5, -39149, 4/85?
4/85
Which is the closest to -1.594? (a) 9 (b) 19/40 (c) 5
b
What is the closest to 0.1 in 5, -2, 0.13, -0.2, -19613?
0.13
What is the closest to 0.2 in -2/7, -0.217, 0, 0.3, 183?
0.3
What is the closest to 6 in -1121, 1/2, -1, -84?
1/2
Which is the closest to 0.1? (a) -0.04 (b) -0.4 (c) -0.3 (d) 16665
a
What is the closest to 0 in -0.1, 1, -15, -1/2, -1.18, -1/198?
-1/198
Which is the nearest to 1/4? (a) -5/11 (b) -1/14 (c) 0 (d) 1490 (e) 1/5
e
Which is the closest to -3.308? (a) -5/13 (b) -9/4 (c) -0.06
b
Which is the closest to 0.379? (a) 2/15 (b) 0.3 (c) 0.714 (d) 0.1
b
What is the nearest to -1/3 in 2, 0, 1/66, -20/3, 5/28, 1?
0
What is the nearest to -1/3 in -2, -0.06, -4/7, 5, 1227, -8?
-4/7
Which is the nearest to 0.01? (a) 124 (b) 15 (c) 769
b
Which is the nearest to 0? (a) -60353 (b) -0.006 (c) 0.27
b
What is the closest to -22 in 0.17, -0.4, 770?
-0.4
What is the closest to -148616 in -31, 0.5, -0.4?
-31
What is the closest to 1 in 1/999, -4, -0.3, -2/259, 4?
1/999
What is the nearest to 0.1 in -0.02, -4, -0.2, -2/3, 2/729?
2/729
Which is the nearest to 2? (a) -0.1 (b) 3 (c) 5 (d) 573156
b
What is the nearest to 0.1 in 1, 0.09, -203.69, -0.5, 5?
0.09
Which is the closest to 1? (a) 2293 (b) -0.4 (c) -2 (d) 31 (e) 34
b
Which is the closest to 0.7? (a) 5 (b) 170 (c) 4558/5
a
Which is the closest to -3? (a) -5 (b) 645 (c) -203
a
Which is the nearest to -0.1? (a) -10/9 (b) -118 (c) 58 (d) 7/6
a
What is the closest to -1 in 2/3, -1, -3/5, 3/4, -32296?
-1
Which is the closest to -0.1? (a) -0.09 (b) 28 (c) -3/2 (d) -3/8 (e) -54/7
a
What is the closest to 0 in 2/13, 2882, -5, 2, 0.9?
2/13
What is the nearest to -31.093 in -5, -4/45, 10?
-5
Which is the nearest to 4? (a) 43/40117 (b) 2 (c) -7 (d) -0.2
b
What is the nearest to 3/15116 in 0.5, 1, 8/17?
8/17
What is the closest to -591/2 in -8, 0.5, 8.3?
-8
Which is the nearest to 3291? (a) 4 (b) 1/13 (c) 247
c
Which is the closest to -1? (a) -55 (b) 5 (c) 1/7 (d) 45 (e) -5
c
Which is the closest to 1? (a) 4 (b) -1/3 (c) -8.268
b
What is the nearest to -0.07 in 3/7, -2, 7024/17, -3, 2/15?
2/15
What is the closest to 2/9 in -0.24, -0.3, -2/11, -0.2, 201/7, -3?
-2/11
Which is the nearest to 1? (a) 0.3257 (b) 3/22 (c) 4 (d) -0.01
a
What is the nearest to -3094 in 0, -206, -1/3, 4, 1/4?
-206
What is the nearest to 0.2 in 244, -1613, 1, 0.2?
0.2
Which is the nearest to 0.6? (a) -0.2 (b) 5 (c) -0.3949
a
What is the closest to 1.06 in -768, 10, 2, 1?
1
What is the closest to 0 in 445, -0.0341, -5, 4/3, -2?
-0.0341
What is the nearest to -0.4 in 0.1, 7244, -1, 3, | {
"pile_set_name": "DM Mathematics"
} |
rest to -2 in -1, -2/13, 0.5, 4?
-1
What is the closest to -0.09 in -1/4, -10, -0.2, 3?
-0.2
What is the nearest to -65 in -0.3, 0.1, 0?
-0.3
Which is the nearest to 1? (a) -1/12 (b) 2 (c) -0.025
b
Which is the closest to 2/7? (a) 0 (b) -4/5 (c) 106 (d) -2
a
Which is the nearest to -1? (a) 1/6 (b) -0.1 (c) -8/7 (d) -2/3
c
Which is the nearest to -0.5? (a) 5 (b) -3 (c) -1.1 (d) 2/5
c
Which is the closest to 0.01? (a) 0.1 (b) -0.3 (c) 0 (d) -2/11
c
Which is the nearest to 1? (a) 0 (b) -1/6 (c) 5 (d) 2/23
d
What is the nearest to -0.3 in 0.3, -2, 72, 4?
0.3
What is the closest to 0 in 0.2, 3/7, -0.3, 182/11?
0.2
Which is the nearest to -47? (a) -3/4 (b) -3 (c) -5 (d) 2
c
Which is the closest to -54? (a) -1 (b) 3 (c) -3
c
Which is the nearest to -3? (a) 6.8 (b) 0 (c) -2 (d) 0.5
c
Which is the closest to 19? (a) 1 (b) -0.06 (c) -0.31
a
What is the nearest to -0.1 in 2, -6072, -0.2?
-0.2
Which is the nearest to 0.1? (a) -45 (b) 0.18 (c) 1 (d) -5
b
What is the nearest to -1 in -3, 1/5, -4/7, 2/59?
-4/7
Which is the nearest to -0.1? (a) -3/4 (b) 0.7 (c) 12
a
Which is the closest to -0.6? (a) -1 (b) -4 (c) 3/5 (d) 2/17
a
Which is the nearest to 0.1? (a) -1 (b) 58 (c) -5
a
Which is the nearest to 5? (a) 4 (b) -1/3 (c) -0.5 (d) 3
a
What is the nearest to 58 in 0.3, 0, 1.5?
1.5
Which is the closest to 3? (a) 4 (b) 11 (c) -2/7
a
Which is the nearest to -0.3? (a) 4/5 (b) 7/3 (c) 2 (d) -44
a
Which is the nearest to -27? (a) 0.1 (b) 2 (c) -5 (d) -3
c
Which is the nearest to -1.7? (a) 1 (b) 1/3 (c) 29
b
Which is the nearest to 5? (a) 8 (b) 1/3 (c) 92
a
What is the nearest to -1/7 in -0.3, -0.54, 1/4?
-0.3
What is the closest to -1 in 0.13, -4, 0.2?
0.13
What is the closest to -19 in -4, 0.4, -0.2, -1/3?
-4
Which is the closest to 1/2? (a) -24 (b) 4 (c) -1/5 (d) 3
c
Which is the nearest to 4? (a) 0.2 (b) -5/8 (c) -3
a
What is the closest to 1 in -2/3, -4, 4, 0.12?
0.12
What is the closest to 1 in -3/4, -10/33, -2?
-10/33
Which is the nearest to -7? (a) 0 (b) -4 (c) -5
c
What is the nearest to 0 in 5, 0.37, 10?
0.37
What is the closest to 1.22 in -3, -5, -1.2?
-1.2
Which is the closest to -0.1? (a) 0.3 (b) 1.2 (c) 1.8
a
Which is the closest to -2? (a) -2/5 (b) -20 (c) -2
c
Which is the nearest to -3/4? (a) -0.4 (b) 3/11 (c) 0.2
a
What is the nearest to 0 in -1/2, -4, -9, 3/7?
3/7
What is the nearest to 22 in 0, -5, 0.09?
0.09
What is the closest to 11 in 4, -3, -4, -0.5?
4
What is the nearest to 2/5 in -5/12, -2/11, -5/2?
-2/11
What is the nearest to 1/3 in -3, 0.5, 1, 0.1?
0.5
What is the closest to 2/57 in 0.3, -0.5, 5, 2/5?
0.3
Which is the nearest to 0.3? (a) -2 (b) 0.3 (c) -3 (d) -2/5
b
Which is the nearest to -1? (a) 9 (b) -35 (c) -5
c
What is the closest to 2/7 in 0.11, 2.1, -4, -0.3?
0.11
Which is the closest to -3? (a) 4 (b) -0.5 (c) 28
b
Which is the nearest to 6? (a) -1/5 (b) 0.15 (c) 0.2
c
Which is the nearest to -1/2? (a) 0.3 (b) 43 (c) 5 (d) -3/5
d
Which is the closest to 2.8? (a) -1/12 (b) -1 (c) -2/9
a
What is the closest to 9/8 in -2/9, -5, 17?
-2/9
What is the closest to -2/3 in -0.7, -0.5, 8, -4?
-0.7
Which is the closest to 1? (a) 681 (b) -2/3 (c) 0 (d) -2
c
What is the closest to -0.1 in 5/2, 3, -4, -53?
5/2
What is the nearest to -13 in -1/4, 16, 0.1?
-1/4
Which is the closest to -0.1? (a) -1/3 (b) -0.093 (c) -5/4
b
Which is the closest to -1? (a) 1/37 (b) -3 (c) -7
a
What is the closest to 0 in -0.4, -0.18, 0.06?
0.06
What is the nearest to 8 in 2, 15, -1, 1.6?
2
Which is the closest to -3? (a) 2/59 (b) 0.2 (c) -0.5 (d) 2
c
What is the nearest to -0.2 in -1, -4, -3, 1?
-1
What is the nearest to -3/5 in -2/11, 1, -5, 0.1?
-2/11
Which is the nearest to 0? (a) 4/7 (b) -4/5 (c) 1/2 (d) 0.08
d
Which is the nearest to 1/4? (a) -0.15 (b) -1 (c) -5
a
What is the nearest to -1 in -1/9, -0.02, 41?
-1/9
What is the closest to 3/5 in 5, 1/8, -0.5, 0?
1/8
What is the nearest to 2 in 3/8, -5/4, 2/13?
3/8
What is the nearest to 1 in -0.1, -2, 0.03, 0.4?
0.4
Which is the closest to 0.1? (a) -3/2 (b) -0.4 (c) -0.3 (d) -15
c
Which is the closest to 0.5? (a) 1/4 (b) -3/2 (c) -5/3
a
What is the closest to 1 in -2/15, 1/4, 47, 0.5?
0.5
Which is the nearest to 3? (a) -5 (b) 20 (c) -4
c
What is the closest to 0.2 in 0.4, -3/8, -13/5, 0.1?
0.1
What is the closest to 0.1 in -10, 3, -0.2?
-0.2
Which is the closest to -1? (a) -0.04 (b) -2/5 (c) -0.8
c
Which is the nearest to 0.5? (a) 1/49 (b) -2 (c) -2/13 (d) 0.3
d
Which is the nearest to 1? (a) 6/7 (b) 0.4 (c) 0.3 (d) 3
a
What is the closest to 1 in -3, -5, -17?
-3
What is the nearest to 28/9 in 0.3, 4, 4/7?
4
What is the closest to -2/45 in -0.1, -2/7, 0.4?
-0.1
What is the closest to 1 in -4, 3, -82, -1/7?
-1/7
Which is the nearest to -16.1? (a) -2/25 (b) -5 (c) 0.4 (d) -0.1
b
What is the closest to -929 in -2/23, -1/4, -2?
-2
Which is the nearest to 1.9? (a) -5 (b) -0.3 (c) -2/3
b
Which is the nearest to -2? (a) 2 (b) -10 (c) 4 (d) 0.1
d
Which is the closest to 1? (a) 3 (b) 0.1 (c) 7
b
What is the closest to -2/3 in 0.2, 5, 0.3, -0.3?
-0.3
What is the closest to 2 in 1/6, 0, 9?
1/6
Which is the closest to -296? (a) -3 (b) 0.2 (c) -1
a
What is the closest to -1/2 in -0.02, 1/6, -3?
-0.02
What is the closest to 0 in -4, -0.4, 2, -2/249?
-2/249
What is the closest to 1 in 4/3, 0.4, 3/5, -5?
4/3
What is the closest to 3 in -4, 0.3, -2/15?
0.3
What is the closest to 0 in -0.9, -4, 0.2, -57?
0.2
Which is the nearest to 0? (a) 0 (b) 2/9 (c) -138 (d) 2
a
Which is the nearest to -20? (a) 1 (b) -0.1 (c) 2/5 (d) -2
d
Which is the nearest to -2/61? (a) 5/4 (b) 0.3 (c) 4 (d) 5
b
Which is the closest to 1? (a) -3/142 (b) 5 (c) -0.3
a
Which is the nearest to -2/7? (a) 5 (b) 118 (c) -5
c
What is the nearest to -2/5 in 3, 0.02, 3/5?
0.02
Which is the nearest to 0.2? (a) 0.15 (b) -2/3 (c) -3
a
What is the nearest to -6 in 18, -10/9, -4/7?
-10/9
What is the nearest to -2/3 in 15/13, 2/11, -1/9?
-1/9
What is the closest to 22.3 in 1, 2, -3/4, 5?
5
What is the nearest to -1 in -4/3, 128, 0.5, -0.2?
-4/3
Which is the nearest to -1? (a) -0.5 (b) 0.4 (c) -0.2 (d) -1
d
What is the closest to 0.2 in 2, -3/2, 24?
-3/2
What is the closest to 2/15 in 5, 2, -10.5?
2
Which is the nearest to 0.2? (a) 3/4 (b) -0.036 (c) 1/2
b
Which is the nearest to 18? (a) 0.6 (b) 0.5 (c) -1
a
What is the closest to 5 in -3, -0.5, -0.073?
-0.073
What is the nearest to -2 in 1/4, -1/20, -0.4, -3?
-3
What is the closest to 0 in 5/8, -10, -5/4?
5/8
What is the nearest to 0 in 4, 1/2, -0.4, 1/13?
1/13
What is the nearest to 0 in 2/7, 84, 1/6?
1/6
What is the nearest to 3 in 1/6, -2/7, -431?
1/6
What is the closest to 2.1 in 2, -2/9, 0.3?
2
What is the nearest to 3 in -0.1, 0, 1, -4?
1
Which is the nearest to -8? (a) 1/7 (b) -1/2 (c) 1 (d) 0
b
What is the nearest to 31 in -1/6, 1, -0.1?
1
Which is the nearest to 1? (a) -1/4 (b) 3/7 (c) 0.5 (d) 4
c
Which is the nearest to -1? (a) -0.2 (b) -2/25 (c) 38
a
Which is the nearest to 2/7? (a) -0.485 (b) -1 (c) -5/3 (d) -0.5
a
Which is the closest to -2? (a) 4/3 (b) 0.055 (c) -5 (d) 129
b
Which is the closest to 2/11? (a) -3 (b) -4 (c) 2/9
c
What is the nearest to 2 in 0.4, 5, 35, -0.3?
0.4
What is the closest to 0 in 5, 8, -4.5, 1/7?
1/7
Which is the nearest to -2/7? (a) -2 (b) 1 (c) 3 (d) 0.4
d
Which is the nearest to 0? (a) -2/3 (b) 2/27 (c) 5
b
Which is the nearest to -0.05? (a) 0.4 (b) -3/5 (c) 1
a
Which is the nearest to -0.3? (a) -2/11 (b) -0.07 (c) 1/5
a
What is the nearest to -2/5 in -1/9, 0.07, 0.1?
-1/9
What is the closest to 6 in 4, 1/10, -4.2?
4
Which is the nearest to -2? (a) -2/7 (b) -0.5 (c) 2/15
b
What is the closest to -2 in -0.3, -23, 1/3?
-0.3
What is the nearest to -3/4 in 4, 2, -2?
-2
What is the closest to -2 in 4/9, -5, 2, 1/5?
1/5
Which is the closest to -1? (a) 0.3 (b) 0.2 (c) 18
b
Which is the closest to 17? (a) 1/5 (b) -394 (c) -2/3
a
Which is the nearest to 0? (a) 1/4 (b) -2/9 (c) -0.3 (d) 4
b
What is the nearest to 3 in 4/7, -3, 0.2, 2?
2
What is the nearest to 0 in 3/8, 2, 0.4, 21.2?
3/8
Which is the nearest to -3? (a) 2/3 (b) 28 (c) 4 (d) | {
"pile_set_name": "DM Mathematics"
} |
sands digit of n?
2
Let x be 247/57 + (-2)/6. Suppose 11937 = x*d + 19*d. What is the hundreds digit of d?
5
Let w = 714 + 289. Suppose 10*m - 2537 - w = 0. What is the hundreds digit of m?
3
Suppose 186034 = -128*p + 132*p + 10*g, 5*p - 3*g = 232527. What is the hundreds digit of p?
5
Let f(k) = k**2 - 10*k + 5. Let c be f(10). Suppose 352 = -c*s - 128. Let y = 100 + s. What is the units digit of y?
4
Let x(o) = -37*o**3 + 3*o**2 - 20*o - 42. Let r be 10 + -6 - (-10 + 16). What is the tens digit of x(r)?
0
Suppose 10*l = 7*l + g + 80222, 5*g - 53504 = -2*l. What is the thousands digit of l?
6
Suppose q + 3*i + 5 = 0, 3*q + 3*i + i = -40. Let w = 8 + q. What is the units digit of (19 + w)/(2/(-16)*-2)?
8
Suppose -5*s = -2*p + 1, 0 = 7*p - 2*p + s - 43. Let b be (48/16)/(6/p). Suppose -74 = -3*q + 2*q + i, 0 = b*i - 8. What is the units digit of q?
6
Let v(q) = -6*q**2 + 11*q - 1. Let w be v(3). Let d be (-23)/(2/4 + 13/w). Suppose -d + 49 = -2*s. What is the tens digit of s?
0
Suppose 128 = -8*o + 12*o. Let k = o + -27. Suppose -5*h = -h + k*t - 25, -3*h - t + 27 = 0. What is the tens digit of h?
1
Suppose 13*m - 999 = -z + 15*m, -4*m - 3992 = -4*z. What is the hundreds digit of z?
9
Let j(h) = 7*h + 320. Let m be (0*7/(-42))/7. What is the tens digit of j(m)?
2
Let u(f) = -4*f**2 + f - 44. Let g(s) = -s**2 - 15. Let z(a) = 7*g(a) - 2*u(a). Let w be z(-7). Suppose -11*q = -w - 680. What is the units digit of q?
6
Let m = -5912 + 9796. What is the thousands digit of m?
3
Let h = -62 - -82. Let y(o) = 29*o - 96. What is the tens digit of y(h)?
8
Let x = 113446 - 64584. What is the hundreds digit of x?
8
Suppose -3*a = -5*y + 83, -5*a + 2*y = -2 + 134. Suppose -4 + 6 = i. What is the units digit of (-13)/a + 1/i?
1
Suppose -l + 2 + 1 = 0. Suppose -4*q - 1 = -l*q. What is the tens digit of 11/33*(247 + q)?
8
Suppose 0 = 3*s + 7 - 166. Let u = -20 + s. Let i = -28 + u. What is the units digit of i?
5
Suppose 5*q = 24097 + 3633. What is the thousands digit of q?
5
Let o = 104 + 46. Suppose -138 = -4*z - o. What is the tens digit of ((-4)/3)/(z/225)?
0
Let n(m) = 3*m**2 - m + 2. Let s be n(0). What is the hundreds digit of (-104)/78*(-441)/s?
2
Let w = -87610 + 140532. What is the thousands digit of w?
2
Suppose 421*p = 425*p + 1292. What is the hundreds digit of (-1 - p) + -23 + 25?
3
Let m(k) = k**3 + 5*k - 15. Let x(n) = -2*n**3 - 9*n + 31. Let i(w) = -5*m(w) - 3*x(w). What is the hundreds digit of i(5)?
1
Let s be (8/(-2))/((-16)/1368). Suppose 3*p = 3*m - s, 2*m - p + 75 - 305 = 0. What is the tens digit of m?
1
Let v(t) be the first derivative of -2*t**3/3 + 2*t**2 + 3*t + 5. Let d be v(3). What is the hundreds digit of d - (209/(-2) + (-3)/6)?
1
Let d be (1530/40)/(1/(-4)). Let g = d - -137. What is the tens digit of g/(-12) - 92/(-3)?
3
Let h(s) = s**2 - 36*s + 246. Let j be h(9). Suppose -5*u = -3*f - 6757, -j*u + 4059 = 2*f - 5*f. What is the hundreds digit of u?
3
Let t(z) = 2606*z - 428. What is the hundreds digit of t(4)?
9
Let b = 3974 + 13445. What is the thousands digit of b?
7
Let d(q) = 8*q**3 - 32*q**2 + 204*q - 49. What is the hundreds digit of d(17)?
4
Suppose 0 = -26*r + 22*r + 27*r - 311305. What is the ten thousands digit of r?
1
Let i(k) = 2*k**2 + 21*k - 11. Let d be i(-11). Suppose d = -6*h + 1279 - 241. What is the units digit of h?
3
Let a be (-136)/(-12) + (-6)/(-9). Let t(m) = 25*m - 96. What is the hundreds digit of t(a)?
2
Suppose 0 = 67*t - 633039 - 86183 - 574749. What is the units digit of t?
3
Let n = -72 + 95. Suppose -4*u - 8 = g, 2*g + 3*g - n = u. Suppose 68 + 128 = g*q. What is the units digit of q?
9
Suppose 0 = i + y - 4, -i + 5*y - 6 = y. Suppose 5*h = h - 8, a - i*h - 545 = 0. What is the hundreds digit of a?
5
Let u(b) be the third derivative of b**5/6 - 7*b**4/24 + 43*b**3/6 - 25*b**2. What is the units digit of u(5)?
8
Let u = 14748 + -5876. What is the tens digit of u?
7
Let r = -19562 + 35843. What is the thousands digit of r?
6
Let l = 37804 - 31207. What is the thousands digit of l?
6
Let q(r) = r**2 - 14*r - 16. Let a be q(15). Let y be (-3 + 3)/(-4) + 1 + a. Suppose -2*m = -3*k - 131, y*m - 3*k = 5*m - 338. What is the units digit of m?
7
Suppose -769707 - 174886 - 135839 = -36*u. What is the units digit of u?
2
Suppose 0*t + 531352 = 12*t + 22*t. What is the thousands digit of t?
5
Suppose -3*c + l + 74338 = 0, -3*c = -4*l - 15767 - 58574. What is the tens digit of c?
7
Let l(o) = -556*o**3 - 2*o**2 - 13*o - 21. What is the hundreds digit of l(-3)?
0
What is the thousands digit of ((-20)/(-5) + -6274 - -1)/(-1)?
6
Let u be 2/(5 - (6 - 2)). Let t be (u/(-8))/(22/(-264)). Suppose -4*p = l - 189, 245 = -0*p + 5*p + t*l. What is the units digit of p?
6
Let k(r) = -8*r + 157. Let m(p) = -22*p + 473. Let h(v) = -17*k(v) + 6*m(v). What is the units digit of h(-14)?
3
Let c(i) be the second derivative of -i**5/20 + 3*i**4/4 - 3*i**3/2 + 4*i**2 - i. Let l be c(8). Suppose 2*k - 366 = -l*k. What is the tens digit of k?
8
Suppose 35495 + 41586 = 58*a - 106315. What is the thousands digit of a?
3
What is the thousands digit of (2 - 1737)*32*(2 + (-72)/30)?
2
Suppose f - 2*f + 393 = q, -5*q = -5*f + 1935. Suppose 4*i + 4*g = 1560, -11*g + 6*g = -i + f. What is the tens digit of i?
9
Suppose -7*y + 37*y = 343350. What is the tens digit of y?
4
Let l(h) = 88*h**2 + 5*h - 6. Let w be ((-6)/4 + 1)/(6/(-48)). What is the tens digit of l(w)?
2
What is the ten thousands digit of (-2)/(-11*16/1189144)?
1
Let b(c) = 11 - 66 + 6 + 16*c + 1. Suppose -6*v = -2*v - 68. What is the tens digit of b(v)?
2
Suppose -3*d + 24 = 0, -3*t + 169231 = -2*d + 31340. What is the tens digit of t?
6
Suppose -48*x + 67*x = 1748. Suppose -90*a = -x*a + 1026. What is the hundreds digit of a?
5
Suppose -16*g - 22 + 70 = 0. Suppose 4*h + 9 - 5 = -3*j, 2*j - g*h = -14. Let d(w) = -12*w + 14. What is the tens digit of d(j)?
6
Suppose 0 = -h + 3*j + 619, -4*j + j - 3 = 0. Let t = h - 279. What is the tens digit of t?
3
Let n be 591/12 - 6/(-8). Let l = n + -48. Suppose -y = l*y - 3*w - 216, y = -3*w + 52. What is the units digit of y?
7
Let m be 10/(-4) - 4/8*-15. What is the units digit of -3 + -2 + (8 - m) - -1362?
0
Suppose 4*w = 5*g - 266, 1 + 0 = w. Suppose 0 = -18*x + 12*x + g. Suppose -409 = -4*n - x. What is the tens digit of n?
0
Suppose -5842 = 277*i - 278*i + 4*s, 0 = 2*i + 3*s - 11684. What is the units digit of i?
2
Suppose -24*b + 56397 - 996897 = -156*b. What is the thousands digit of b?
7
Suppose -5*s + k = 290 - 735, s + 4*k - 110 = 0. Let y = 103 - s. What is the units digit of 2 + (-3 - -1) + 78 + y?
1
Suppose a - 130 + 467 = 0. Let w = a - -673. Suppose -31*j + 28*j + w = 0. What is the units digit of j?
2
Let u(r) be the third derivative of r**4/4 + r**3 + 4*r**2. Let d(h) = -5*h - 6. Let w(i) = -3*d(i) - 2*u(i). What is the units digit of w(0)?
6
Let g(f) = -f**3 + 21*f**2 - 40*f + 80. Let d be g(21). Let r = 1877 + d. What is the hundreds digit of r?
1
Let p be (3 + -2)*-3 + 6. Suppose 0 = -5*d - p*b + 18, -5*d + b + 12 = -2*b. Suppose d*r = 11*r - 8. What is the units digit of r?
1
Suppose -3*q - 476 = -q. Let j(r) = 2*r**2 - 55*r + 429. Let d be j(27). Let z = d + q. What is the tens digit of z?
6
Suppose -12 = -4*k, 2*b + 3*k - 1 = 10. Let d be b - ((-12)/(-8))/((-6)/(-56)). Let y = d - -45. What is the tens digit of y?
3
Suppose -1488290 = -193*u - 202244 + 5708853. What is the thousands digit of u?
6
Let c be 5/((-95)/(-686)) - 60/570. Let l = c + 1816. What is the thousands digit of l?
1
What is the units digit of 18300/9*(-8904)/(-1060)?
0
Suppose -19*p = -76*p - 137309 + 957539. What is the ten thousands digit of p?
1
Let o(k) = 145*k**2 - 87*k + 173. Let x(u) = 36*u**2 - 22*u + 43. Let b(r) = -2*o(r) + 9*x(r). What is the thousands digit of b(6)?
1
Suppose 4*o - 67 - 13 = 0. Suppose 6*t - o = 2*t. Suppose -2*j - t*v = -339, 73 + 423 = 3*j - 5*v. What is the tens digit of j?
6
Let g be 3/6 - (-1062)/4. Let d = 293 + 86. Suppose 3*i - i - g = -2*r, -i - d = -3*r. What is the hundreds digit of r?
1
Let u(c) = -23*c**3 + 28*c**2 + 191*c + 39. What is the hundreds digit of u(-8)?
0
Suppose 340 = 8*r - 6*r. Let l = -163 - -473. Let y = l - r. What is the units digit of y?
0
Suppose -5*a - 5*m + 1 = -24, -a = -3*m | {
"pile_set_name": "DM Mathematics"
} |
derivative of o**6/120 - 3*o**5/20 + 5*o**4/24 + 13*o**3/3 + 48*o**2. Let m be i(8). Solve -3*l = 2*l + 2*b - 14, b = 2*l - m for l.
2
Let z be (0 - -13)*(4 + -3). Let n be (-2)/3 + (-68)/5406*-53. Solve 4*i + 3*j + 7 = 4*j, -i + 4*j - z = n for i.
-1
Let j be (0 + 14/(-21))/((-20)/(-90)) - -10. Solve -b + 14*n = 10*n - j, -1 = -b + n for b.
-1
Let o be 3510/(-936)*(-8)/10. Solve g + 2*p = 4, -o*p = -2*g - 0*g + 15 for g.
6
Let a = -95 - 46. Let n = -139 - a. Solve -4*f + 2*k + n + 0 = 0, k = -f + 8 for f.
3
Let r(z) = -6*z - 100. Let m = -153 - -136. Let s be r(m). Let x be ((-10)/1)/(-1*2). Solve 0 = -5*u - 3*y - 6, 4*u = s*u + x*y - 21 for u.
-3
Suppose -120 = -14*z + 2*z. Let m be 13 + 1/(2/z). Solve -3*b + 5 = -5*n + m, 0 = -2*n - 3*b + 22 for n.
5
Let p(v) = -64*v - 180. Let c be p(-3). Solve -5*y + k = -12, y - k = -4*k + c for y.
3
Let x(z) = 2*z**3 - 9*z**2 - 14*z + 48. Let f be x(5). Suppose -1 = 2*t + f*s, 13 = 3*t + s - 3. Solve 4*j + t = -g, 2*g - 5*g + 15 = 0 for j.
-3
Suppose 0 = f - 2*h - 13, 7*f - 5*h = 3*f + 37. Solve -d + 0*d = i - 4, -3 = f*d - 2*i for d.
1
Let r(b) be the third derivative of b**4/24 + b**3/2 + b**2. Let h = 487 + -486. Let n be r(h). Solve d + 9 = v, -2*v + 3*v = n*d + 24 for d.
-5
Let x(p) = -p**2 + 188*p - 1089. Let r be x(6). Solve 0 = -3*t - r*w + 2 - 8, 0 = -2*w for t.
-2
Suppose -5*h + h - 21 = c, -26 = c + 5*h. Let l be c - -4 - (-2 + 3)/1. Solve -2*i = 5*w - 20 - 10, -7 = -3*i + l*w for i.
5
Let g = -1563 - -1578. Solve -4*z + u + g = 14, 3 = -3*u for z.
0
Suppose 0*p + 3*p = 2*l + 29, -3*l - 12 = 0. Solve n + 8 = -3*v, n + 4*v = -4 - p for n.
1
Let l = 1184 + -1180. Solve -15 = -5*f - i, -5*i + 28 = l*f - 5 for f.
2
Let p(v) = 26*v + 678. Let k be p(-26). Solve -11*c + 2 = n - 14*c, -n - 8 = k*c for n.
-4
Let t(s) = s**3 - 28*s**2 - 124*s - 118. Let z be t(32). Solve -4*r = -d + z, r + 5*d - 2 + 15 = 0 for r.
-3
Let m(q) = q**2 + 225*q - 2333. Let n be m(10). Solve 24*v - 3*s = 28*v - n, -3*v = s - 14 for v.
5
Suppose w - 3*w = -8. Suppose 3*a = -x - 2, w*x + a + 2*a - 10 = 0. Suppose 5*d - 4 = 5*r + 6, -3*d + 12 = 0. Solve -x*z = u + 2*u + 4, -4 = -r*z for u.
-4
Suppose -d + 3*d - 3*m = 14, 0 = -5*d - 3*m + 14. Let v = -84 - -94. Solve x - v = -x + 4*u, 0 = -d*u - 4 for x.
3
Let i = 153 + -155. Let m be 3/i*2 + 9/3. Solve m*k + 4 = -2*k + s, 0 = -s - 2 for k.
-3
Let p(g) = 22*g - 836. Let s be p(39). Solve 7 = x + 5*v - 3, -4*v + s = -2*x for x.
-5
Let a = 9965 - 9962. Solve 3*i = 4*p - 23, a*i + 4*p - 8 = 9 for i.
-1
Suppose 0 = 2*z + 4, -43 + 133 = 2*w - 5*z. Let n = w + -56. Let k be 4/(n/(-62))*2. Solve -5*f + 9 = -6, 5*q - 2*f + k = 0 for q.
-5
Suppose -13*t = 8*t + 23*t - 440. Solve -4*d = -2*l - 2, t - 47 = -5*l - 4*d for l.
5
Let l = -12 - -17. Let w = -678 + 684. Let x = l + w. Solve -3*h - x = -2*h + 5*b, 7 = -3*h - 2*b for h.
-1
Let a be ((4 - 5) + -1 + -2 - -5)*3. Solve 4 = -121*x + 119*x, -4*c - 22 = a*x for c.
-4
Let a be (1 - 1) + 570/(0 - -6). Let r = 90 - a. Let p be (r/10)/(-1*(-3)/(-66)). Solve v = -5*w + p, v + 0*v + 4 = 0 for w.
3
Let z be (-2)/((-4)/(-5)*(675/(-66) - -10)). Solve s + 5 = 3*v + z, s + 3*v + 18 = 0 for s.
-6
Suppose -m - 5*a = -12, -8 = 2*m - 4*m - 2*a. Suppose 5*q - m*h + 5*h = 26, 3*h = 2*q - 2. Solve -3*t - b - q*b + 5 = 0, 2*t - 8 = -b for t.
5
Suppose -15*n + 30 = -12*n. Let r be (n/(-15)*1)/((-10)/30). Solve 2 = r*a + w, -2*w = 3*a + 2 - 7 for a.
-1
Let b = -8269 - -8272. Solve -3*p - 42 + 21 = -b*z, 5*p + 5*z - 5 = 0 for p.
-3
Suppose 0 = -5*t - 4*x + 84, -t + 16 = -3*x - 16. Let h be ((1 - -1) + 1)*t. Suppose 52 = 4*s - 2*q, 5*s - 4*q - h = q. Solve -k + 16 = 3*k, -k + s = 5*f for f.
2
Suppose 12*z - 36 = 8*z. Suppose 4*h - 13 = -5*l, 4*h = 4*l + 2*h - 26. Suppose 6 = l*r - 9. Solve -16 = 5*y - 3*s + z, r*y - 4 = -2*s for y.
-2
Let o be -6*5/10 + 5. Suppose o*a + 4*a = a. Suppose a*f + 3*m + 15 = 4*f, 0 = 4*f + m - 11. Solve 4*t = -3*j - 31, j - f*t - 2 = -j for j.
-5
Let b(p) = -p**2 - p + 6. Suppose -2*t = -52 + 52. Let y be b(t). Let q = 11 - y. Solve 2*g + 8 = 2*c, q*c - 10 - 4 = -g for g.
-1
Suppose 25 = 5*n + 5*s, 5*n + 0*s = 3*s + 17. Let t(h) = -4*h + 3*h - 10 + 1 + h**2. Let z be t(n). Solve 5*u - 10 = 0, 0*v + 9 = 3*v + z*u for v.
1
Let l(n) = 69*n + 773. Let w be l(-11). Solve 5*m = 3*c - w, -22*c + 6 = -m - 23*c for m.
-4
Let o = -7 - -16. Suppose -5*b + 67 = 3*g, -25*b = 2*g - 23*b - 38. Let v = g - o. Solve 5*u - 40 = v*x, -u - 3*u - 5*x = -5 for u.
5
Let v = 1596 + -1594. Solve -4 = 4*h + 3*z, -v*h - 2*h - 4 = -4*z for h.
-1
Suppose -3*u = -6*y, -1 = 135*u - 134*u - 3*y. Solve 0 = 4*w, u*w + 6 = -17*m + 19*m for m.
3
Let q(b) = 46*b**2 + 182*b + 33. Let z be q(-4). Solve 5*k = 4*m + z, 10*k - m + 16 = 14*k for k.
5
Let f(i) = i**3 - 5*i**2 + 6*i - 6. Let s = 5 - 1. Let l be f(s). Suppose -l*n + n = n. Solve 2*m - 4*p + 5 - 21 = n, -5*p - 25 = 0 for m.
-2
Let v be 2/(-9) - 38/(-9). Suppose 0 = 2*z - m, v*m - 19 = -4*z - 7. Let r be (-1)/1 + 6 - z. Solve 5*o - 6 = -3*b, 8 = 5*o - 4*o + r*b for o.
0
Let j = -1857 - -1862. Solve -2*a - 22 = -j*z, -8 = 5*a - z + 1 for a.
-1
Suppose 6 = p - 2*a, 2*a + 7 = 2*p - 3. Suppose -p*n + 0*n = -24. Let s be n/(-12) + (-18)/(-4). Solve -5*q + 2*u - 11 - 1 = 0, s = 4*q - 5*u for q.
-4
Suppose -5*f + 0*f = 0. Let b(r) = -3*r + 39. Let h be b(f). Let c be (-48)/(-26) - (-6)/h. Solve -c*a - 3*u - u - 10 = 0, 3*u + 30 = 3*a for a.
5
Let j be (29 - -4)*(-216)/(-3564). Solve z - 4*d = 5, 3*z + 5*d = -j*z for z.
1
Let s = 11 - 4. Let o(y) = -y**3 - 91*y**2 - 4*y - 361. Let v be o(-91). Solve -2*i - s = -a, v*i - 3*a + 5 = 5*i for i.
-2
Let v(d) = -13*d**2 + d + 135. Let h(x) = 35*x**2 - 4*x - 405. Let a(r) = 3*h(r) + 8*v(r). Let w be a(14). Solve -w*p - 3*o + 20 = o, 5*o = p + 25 for p.
0
Let j(h) = -8*h + 13. Let d(n) = -24*n + 35. Let z(p) = 2*d(p) - 7*j(p). Let l be z(3). Solve 9 = l*w + 3*q, q + 0*q - 3 = w for w.
0
Let g be (-28)/5*305/(-8)*-4. Let s = g + 857. Solve 0 = 4*i + v + 16, -i + 0*i = s*v + 4 for i.
-4
Let c be ((-8)/(-24))/(2/18). Suppose -4*w = -5*d + 183, -c*d + 0*d = 3*w + 117. Let j = w - -44. Solve l + 3*h = -2, -4*l + j*l = -h - 10 for l.
4
Let r be ((-7)/(-14))/((-3)/(-4)) - 2812/(-228). Solve -q + 4*p + 1 = r, 5*q + 5*p - 40 = 0 for q.
4
Let j be (-3)/2*(-120)/45. Let i be 1/(j - 8) + (-1)/(-4). Suppose 12*u - 24 = -i. Solve p - u*p + 3*l - 6 = 0, -3*p = 2*l + 7 for p.
-3
Suppose -n = 89*o - 91*o + 1, 3*o - 3 = 0. Solve 0 = -3*l - 4*y + 14, -n = -5*l - 2*y + 13 for l.
2
Let d(j) = 5*j - 7*j - 61 - 161 + 9*j. Let y be d(32). Solve v - y*l = -0*v - 4, -3*v - 3*l = -6 for v.
0
Let p be (-9)/(-9) + 2/(-1). Let g(j) = j**2 + 43*j + 42. Let u be g(p). Solve -d + 5*w = 0, u = -4*d - 3*w + 5 + 18 for d.
5
Let o be (-599)/6 - -9 - (-10)/12. Suppose 186 = -2*s - j, -3*s + 7*s + j = -370. Let g = o - s. Solve -g*v + 14 = 2*z, -5*v + 2*z - 5*z + 27 = 0 for v.
3
Let b be ((-6)/(-9))/((-4)/6). Let y be (b - (-12)/8)*4. Suppose -5*u + 30 = -y*u. Solve -u = -2*p, -2*g + 8 = 4*p - 2 for g.
-5
Let h be 9/2 - (24 + 1222/(-52)). Solve 241*z - 245*z = h*w - 32, -z - 3*w = -14 for z.
5
Let p be -1*4 - (-3 - 15). Suppose 5*q + p = 6*q. Suppose -q = 8*k - 15*k. Solve -2 = -4*m - k*c, 4*c = -3*m - c - 2 for m.
1
Let n be -52 - (-4 - (-2 + 0)). Let k be (-76)/(-13) - n/325. Solve r - 3*d + 10 = 0, k*r - 2*r + 16 = 4*d for r.
-1
Let b be 12/(-28)*4/6 - 184/(-56). Solve -12 = 3*t - b*n, -n + 4 = 11*t - 7*t for t.
0
Suppose 2*v + 2*a = 12, v + 1 - 19 = 3*a. Suppose 0 = 4*g - 5*g + 3*o + v, g - 5*o = 13. Solve 4*i - 2*y - g*y = -2, -2*i + 5*y + 4 = 0 for i.
-3
Let j = -31764 + 31768. Solve -3*p + 10 = f - 0, 4*p = j*f - 8 for f.
4
Let q(s) be the first derivative of s**3 - 7*s - 62. Let o be q(2). Suppose 5*m = p + 16, -p - 13 + 0 = -4*m. Solve g = -2*b - o, -b - m*g = -11 + 1 for b.
-5
Let d be (-1)/3*((-5822)/328 - (-1)/(-4)). Solve 4*k + 3*n = 9*k + 9, 2*k = 2*n - d for k.
0
Let o = 110 + -105. Suppose -o*n = -5*h - 25, -n + 8 + 3 = -4*h. Solve -2*i + s = 6, 6 = -0*i - 2*i + n*s for i.
-3
Suppose -26*f + 15 = -31*f. Let k(g) = -g**3 - g**2 + 3*g - 3. Let z be k(f). Let i(a) = -a - 3. Let q be i(-8). Solve 3*h = -5*w - z, -q*h = 4*w + w for w.
-3
Let i be 78/(-208) - (3 + (-108)/32). Let m(u) = -4*u + 2. Let | {
"pile_set_name": "DM Mathematics"
} |
ve 43*a + 70*a = -48*a - 4669 for a.
-29
Solve -o = 9*o + 132 + 148 for o.
-28
Solve 43*k - 138*k - 53*k + 5032 = 0 for k.
34
Solve -6339 = -25*f - 6039 for f.
12
Solve 29*v - 16*v - 245 = -22*v for v.
7
Solve -3*j = 6*j + 18 + 27 for j.
-5
Solve 4*h + 8*h + 1578 = 1518 for h.
-5
Solve 22*j + 459 = -29*j for j.
-9
Solve 101*a - 715 = 8*a + 29 for a.
8
Solve 14*m + 64 = 7*m + 15*m for m.
8
Solve 3086 = 315*a - 694 for a.
12
Solve 117*j = 702 + 1657 - 253 for j.
18
Solve 0 = -603*u + 1300 + 1000 + 2524 for u.
8
Solve -1100*x = -246*x - 15372 for x.
18
Solve -8*a + 28*a - 170 = -14*a for a.
5
Solve -47*g - 1255 = 33*g + 185 for g.
-18
Solve -392*q + 862 = -5410 for q.
16
Solve -29*v - 912 + 1167 = 922 for v.
-23
Solve 265*t + 1309 + 7378 = -246*t for t.
-17
Solve -25*o + 37 + 34 = -79 for o.
6
Solve 22*k - 97*k - 1792 = 53*k for k.
-14
Solve 233*i + 3668 + 293 = 0 for i.
-17
Solve -61*c + 119*c = 61*c + 12 for c.
-4
Solve 0 = -4*m + 3842 - 3806 for m.
9
Solve 0 = -784*z + 12251 - 5402 + 19023 for z.
33
Solve 45*p + 11*p = 8*p + 432 for p.
9
Solve 44*p + 50*p = 118*p - 24 for p.
1
Solve -80 = 13*z - 132 for z.
4
Solve 780*p = -817 + 37 for p.
-1
Solve -22*u + 531 + 533 = 130*u for u.
7
Solve -5866 - 1536 + 318 = 253*r for r.
-28
Solve -80*d - 798 = -158 for d.
-8
Solve -110*o + 41*o + 69 = 0 for o.
1
Solve 0 = -g + 25234 - 25241 for g.
-7
Solve -57*d - 6*d = -1008 for d.
16
Solve 0 = 90*l - 54*l - 22 - 302 for l.
9
Solve -158 + 260 = -133*v - 563 for v.
-5
Solve 49 - 161 = -16*u + 80 for u.
12
Solve 244*c - 287*c - 477 = -4 for c.
-11
Solve 17*i = -8*i - 270 + 120 for i.
-6
Solve 1025 + 66 + 925 = 96*l for l.
21
Solve -150 = 20*g - 13*g - 22*g for g.
10
Solve -96 = -1321*j + 1305*j for j.
6
Solve 0 = -0*t + 3*t - 4075 + 4129 for t.
-18
Solve 0 = -83*u - 120*u - 2030 for u.
-10
Solve -24*u - 686 = 130 for u.
-34
Solve 231*l - 308*l - 693 = 0 for l.
-9
Solve -296*f + 101 + 275 + 216 = 0 for f.
2
Solve -29*o + 49*o = 240 for o.
12
Solve 194*q = 1646 + 1264 for q.
15
Solve -403 = -120*l + 180 + 497 for l.
9
Solve 2071 - 91 = 132*t for t.
15
Solve 7*v = -0*v - 11*v - 72 for v.
-4
Solve -52*x = -128 + 24 for x.
2
Solve -3058*v + 3034*v - 192 = 0 for v.
-8
Solve -29*d - 47*d - 159*d + 3525 = 0 for d.
15
Solve 0 = -43861*k + 43725*k - 3944 for k.
-29
Solve -137*p + 287*p = 1650 for p.
11
Solve -45*l + 97*l - 396 = 96*l for l.
-9
Solve -296*v - 182*v - 13384 = 0 for v.
-28
Solve -456*d - 4*d + 2159*d - 62863 = 0 for d.
37
Solve 7*c - 42 - 77 = -0 for c.
17
Solve 353*c = -4077 - 5407 + 1012 for c.
-24
Solve 56*s + 156 + 68 = 0 for s.
-4
Solve 520*v - 486*v = -238 for v.
-7
Solve 9*s + 30*s - 1089 = 6*s for s.
33
Solve -660*f + 4872 = -125*f + 12362 for f.
-14
Solve 0 = 70*g + 18 + 279 + 333 for g.
-9
Solve -417*t + 512*t - 2755 = 0 for t.
29
Solve -485*m - 100 = -460*m for m.
-4
Solve 16*z + 74 - 3 - 7 = 0 for z.
-4
Solve -152 = 41*x - 38*x - 22*x for x.
8
Solve 65*q - 102*q - 374 = -54*q for q.
22
Solve -85*h - 80*h - 120 = -157*h for h.
-15
Solve -133*w + 264 = -199*w for w.
-4
Solve 0 = -44*k - 18*k + 744 for k.
12
Solve 933 + 267 = -48*w for w.
-25
Solve -271*v + 126*v + 136*v - 54 = 0 for v.
-6
Solve 67 + 42 + 91 = 25*y for y.
8
Solve 12288*g + 221 = 12305*g for g.
13
Solve 5*o + 2543 = 2593 for o.
10
Solve 0 = 41*s + 41*s - 511 - 63 for s.
7
Solve 1520*g = -22859 - 28821 for g.
-34
Solve -474*h = 30*h for h.
0
Solve 805 - 772 = -33*z for z.
-1
Solve 19*j + 112 - 17 = 0 for j.
-5
Solve 0 = 19*q + 21 + 151 - 20 for q.
-8
Solve -36*p + 148 + 320 = 0 for p.
13
Solve 41 - 21 = 3*i + i for i.
5
Solve 21*m = 1155 - 1176 for m.
-1
Solve 142*s = 124*s - 72 for s.
-4
Solve 481 - 2473 = 235*b + 2003 for b.
-17
Solve 6*t = -67*t - 1523 - 1032 for t.
-35
Solve -546*x = 101*x + 246*x - 1786 for x.
2
Solve 5622 + 4466 = 388*f for f.
26
Solve -11140*w + 11079*w = 305 for w.
-5
Solve -40*k - 65 - 215 = 0 for k.
-7
Solve -304*j - 1528 = 600 for j.
-7
Solve 3952*t = 2714*t - 22284 for t.
-18
Solve 109*m + 9120 = 589*m for m.
19
Solve -611*l + 582*l = -203 for l.
7
Solve 23*n = -12*n - 132 - 498 for n.
-18
Solve -14*t = -30007 + 30245 for t.
-17
Solve 127*h + 1249 - 124 = 52*h for h.
-15
Solve 143*y - 88 = 913 for y.
7
Solve 788*t - 7720 = -756*t for t.
5
Solve -190*t = -70 + 86 - 586 for t.
3
Solve -85*l + 6*l - 811 + 21 = 0 for l.
-10
Solve 247*t - 16*t - 1617 = 0 for t.
7
Solve 5*w - 10265 = -10320 for w.
-11
Solve -31*f = -344 + 623 for f.
-9
Solve 187*h - 23*h + 1968 = 0 for h.
-12
Solve -39*l + 304*l = -88*l + 5295 for l.
15
Solve -107*a - 152*a - 2048 = -3*a for a.
-8
Solve 247 + 2220 = 172*p + 59 for p.
14
Solve -297*j = 103*j - 4000 for j.
10
Solve -46*k + 74 = 196 + 752 for k.
-19
Solve 37*u + 12 = -67 - 69 for u.
-4
Solve -182*v - 94*v = 2484 for v.
-9
Solve 37*b = -263 - 107 for b.
-10
Solve -16*m + 291 = -59*m - 10 for m.
-7
Solve -932*v + 3593 = 25029 for v.
-23
Solve 0 = -72*t + 122*t + 500 for t.
-10
Solve 397*q + 23*q = 4214 + 406 for q.
11
Solve 100 = -58*p + 30 + 186 for p.
2
Solve 0 = 1061*u - 1085*u + 360 for u.
15
Solve 0 = -37*q + 139 + 42 + 189 for q.
10
Solve -1240*y + 1228*y + 312 = 0 for y.
26
Solve -54*i + 23*i = 0 for i.
0
Solve -6*x - 25 = -91 for x.
11
Solve 31*m - 799 + 396 = 0 for m.
13
Solve 6*r - 25 = 25*r + 32 for r.
-3
Solve -151*q - 174*q - 10317 = 218*q for q.
-19
Solve 466 = -26*b + 934 for b.
18
Solve 0 = 1844*h - 1680*h + 328 for h.
-2
Solve 336*k - 65 = 331*k for k.
13
Solve -68*i + 272 = 1972 for i.
-25
Solve 15*h = -76*h + 192 - 829 for h.
-7
Solve 0 = -125*o - 155*o - 5040 for o.
-18
Solve 59*z - 2135 = -86*z - 250 for z.
13
Solve 20*m - 977 = -42*m + 139 for m.
18
Solve 55*m = -1333 + 2048 for m.
13
Solve -24*l - 28*l = -6*l - 184 for l.
4
Solve 141 + 778 = 225*q + 6094 for q.
-23
Solve 319*f + 324*f - 180*f + 13890 = 0 for f.
-30
Solve 9145 = -1243*z + 26547 for z.
14
Solve -13123*c + 2262 = -13045*c for c.
29
Solve 131*g + 1553 = -1304 - 1597 for g.
-34
Solve 16*c + 86*c + 25687 = 28441 for c.
27
Solve 9296*p = 9289*p - 42 for p.
-6
Solve 385*s - 380 = 1275 - 115 for s.
4
Solve -65*i - 357 = 59*i - 145*i for i.
17
Solve -278*l = -322*l + 80 + 580 for l.
15
Solve 747*n = 830*n - 2988 for n.
36
Solve -610*a - 193*a - 24963 = -70 for a.
-31
Solve 525*a + 1339 = 422*a for a.
-13
Solve 1093*d - 1158*d = 975 for d.
-15
Solve -53516 + 53672 = -12*r for r.
-13
Solve 278*q - 9289 + 1227 = 0 for q.
29
Solve 560 = -129*w + 44 for w.
-4
Solve 38*o = -36 - 116 for o.
-4
Solve 133*g = -174 + 3484 - 118 for g.
24
Solve -52*y - 1474 = 22*y + 80 for y.
-21
Solve 14*i = -38*i + 13*i - 117 for i.
-3
Solve 4 - 1 = -19*v - 54 for v.
-3
Solve -200*k + 141*k - 873 = -156*k for k.
9
Solve -8*r = 15*r - 45*r for r.
0
Solve -87*q - 1514 = 76*q + 1257 for q.
-17
Solve -520*t + 6096 = 14486 + 8250 for t.
-32
Solve 420*v = 233*v + 2618 for v.
14
Solve -261 + 317 = -8*d for d.
-7
Solve 49*s + 463 = 23*s + 99 for s.
-14
Solve -42*s = 29 - 29 for s.
0
Solve -211*b + 2550 = 44*b for b.
10
Solve -261*b + 273*b + 192 = 0 for b.
-16
Solve -6544*z + 6583*z = -195 for z.
-5
Solve -26488 = -235*a - 628*a - 341*a for a.
22
Solve 147*p = 144*p - 9 for p.
-3
Solve -1032 = -11*s + 3*s - 944 for s.
11
Solve -12*b = -b + 9*b + 200 for b.
-10
Solve -76*p + 176*p = -79*p - 3580 for p.
-20
Solve -1881 - 319 = -275*x for x.
8
Solve -136*u + 289*u = 81*u for u.
0
Solve 39*s - 26 = 175 - 6 for s.
5
Solve 569*c + 154 + 622 = -931 for c.
-3
Solve 0 = -35*s - 5*s + 22*s - 162 for s.
-9
Solve -1900 = 155*a - 55*a for a.
-19
Solve 30 = -117*q + 147 for q.
1
Solve -66*a = -1455 + 1983 for a.
-8
Solve -338*m + 83*m + 4590 = 0 for m.
18
Solve 20 = -15*j + 2*j + 7 for j.
-1
Solve 8*l = -3*l - 1166 + 913 for l.
-23
Solve -83*t - 585 - 183 = 643 for t.
-17
Solve -101 + 326 - 2569 = 293*y for y.
-8
Solve 2354 = 319*r - 517 for r.
9
Solve 0 = 306*t + 1680 - 456 for t.
-4
Solve -135*u - 1799 = 122*u for u.
-7
Solve -17403 = 15*b - 17553 for b.
10
Solve 793*f - 706 - 5638 = 0 for f.
8
Solve -1073 + 1359 = 22*z for z.
13
Solve 2028*p + 6650 = 2294*p for p.
25
Solve 73*v + 0 = -0*v - 292 for v.
-4
Solve -518*f - 13900 = 177*f for f.
-20
Solve 26*p = -64287 + 64651 for p.
14
Solve 289 = -33*c - 5*c + 213 for c.
-2
Solve -13*w + 3*w - 29 - 1 = 0 for w.
-3
Solve 36*a + 162 = 238 - 796 fo | {
"pile_set_name": "DM Mathematics"
} |
prime?
True
Is 34255313303 a composite number?
False
Is 903277451 prime?
False
Is 36028237673 composite?
False
Is 4131552149 prime?
False
Is 6080293651 prime?
False
Is 2278256303 a prime number?
True
Is 2227592249 composite?
False
Is 1280557319 a prime number?
False
Is 41090756439 composite?
True
Is 6076470451 prime?
False
Is 172840893331 a prime number?
True
Is 75003594233 prime?
True
Is 19113419813 composite?
False
Is 12501099659 a composite number?
True
Is 4472039993 composite?
True
Is 7008905689 prime?
True
Is 3851483947 a prime number?
True
Is 549527509 prime?
False
Is 960862685 prime?
False
Is 2706215749 a composite number?
False
Is 311555957 prime?
False
Is 27615703223 composite?
True
Is 602667743 prime?
True
Is 100613729 prime?
True
Is 52847032019 composite?
False
Is 318507509 a prime number?
False
Is 4254736687 a prime number?
True
Is 1231738493 composite?
True
Is 168767843 prime?
False
Is 18316056223 a composite number?
False
Is 35608851769 composite?
False
Is 162152249498 a prime number?
False
Is 1608520141 composite?
True
Is 14310383 composite?
True
Is 975309443 composite?
True
Is 8334243991 composite?
False
Is 2081072263 a composite number?
True
Is 7171797453 composite?
True
Is 2976908665 prime?
False
Is 6555946039 a composite number?
True
Is 2693189771 a prime number?
False
Is 21054414649 a composite number?
False
Is 1745414543 prime?
True
Is 379990433 a composite number?
True
Is 787402163 composite?
True
Is 18978551759 prime?
True
Is 221996897497 a composite number?
False
Is 702667733 composite?
True
Is 3938514149 composite?
False
Is 1888071805 a prime number?
False
Is 34928257379 prime?
False
Is 963849622 composite?
True
Is 12080475851 a composite number?
True
Is 4675942681 a prime number?
False
Is 14615003057 a composite number?
True
Is 2592073201 a prime number?
True
Is 2753244101 a composite number?
False
Is 19154278753 a composite number?
True
Is 15297792439 a composite number?
False
Is 3434290269 prime?
False
Is 383025814 a composite number?
True
Is 18422597389 a composite number?
True
Is 3533214701 a prime number?
True
Is 895659317 composite?
True
Is 15656115547 prime?
True
Is 76569042271 a prime number?
True
Is 10548752749 a composite number?
True
Is 58788931 a composite number?
False
Is 17041757479 a prime number?
True
Is 2727540863 composite?
False
Is 5069210951 composite?
True
Is 817180241 composite?
True
Is 1087405393 a prime number?
False
Is 940681643 composite?
True
Is 16460506727 prime?
False
Is 15905106509 composite?
True
Is 33133772131 a prime number?
True
Is 72275249 prime?
True
Is 29485363 composite?
False
Is 374218409 a composite number?
True
Is 20622595141 composite?
True
Is 7621789683 a prime number?
False
Is 284973895 a composite number?
True
Is 25057330009 prime?
True
Is 659277761 prime?
False
Is 190290623 a composite number?
True
Is 4907233909 prime?
True
Is 13750146691 prime?
True
Is 4052656259 a composite number?
False
Is 717445754 a prime number?
False
Is 179935891 prime?
True
Is 8739111893 composite?
True
Is 28549077757 composite?
False
Is 4730656979 composite?
True
Is 33602208361 composite?
False
Is 16510956047 a prime number?
False
Is 7147515679 a prime number?
True
Is 1842472217 a composite number?
False
Is 629107529 composite?
True
Is 345692357 a composite number?
True
Is 72369497 a prime number?
True
Is 2862882107 composite?
False
Is 41273711774 composite?
True
Is 12831236003 prime?
True
Is 82735794763 a composite number?
False
Is 7621306991 prime?
True
Is 1928961929 a composite number?
True
Is 134301607079 a prime number?
True
Is 4034375123 a composite number?
True
Is 17939301271 a prime number?
False
Is 477334625269 a prime number?
False
Is 16028497777 a prime number?
True
Is 299214346985 prime?
False
Is 7646505005 a composite number?
True
Is 69932227681 a composite number?
False
Is 445451359 composite?
True
Is 6667569151 a prime number?
True
Is 8434143489 prime?
False
Is 1132428977 a prime number?
False
Is 58402621 prime?
True
Is 6202492603 prime?
True
Is 237345233 prime?
True
Is 372220153 a composite number?
True
Is 648937687 prime?
False
Is 4562817517 prime?
True
Is 102458747 a prime number?
True
Is 209976387239 a composite number?
False
Is 588816451 prime?
False
Is 181882681 a composite number?
False
Is 12710267391 prime?
False
Is 7780231931 composite?
True
Is 9927129607 composite?
True
Is 8011497427 prime?
False
Is 9748515137 prime?
False
Is 4239418559 a prime number?
True
Is 1533170707 prime?
True
Is 383363873 prime?
True
Is 17667906853 a composite number?
False
Is 215700392071 a prime number?
False
Is 180045113617 a composite number?
False
Is 43987492947 composite?
True
Is 16952237529 a composite number?
True
Is 15475559577 composite?
True
Is 69701709835 prime?
False
Is 1389616229 prime?
False
Is 3367476941 a prime number?
True
Is 108562609 composite?
False
Is 978302813 composite?
False
Is 256389569 prime?
True
Is 20790691819 prime?
True
Is 63619450753 composite?
False
Is 295038073 prime?
False
Is 36508379945 a composite number?
True
Is 41275936717 composite?
True
Is 4593890303 prime?
False
Is 569840897 a composite number?
False
Is 2786684833 a prime number?
True
Is 125416691 a composite number?
True
Is 2443321333 a composite number?
False
Is 9487644619 prime?
False
Is 3339053461 composite?
True
Is 785735999 a prime number?
False
Is 2929498783 a composite number?
False
Is 9310059271 a composite number?
False
Is 112270044655 prime?
False
Is 12808858357 a composite number?
True
Is 1574018395 a prime number?
False
Is 64382469059 prime?
True
Is 180035087 composite?
False
Is 52779863263 composite?
True
Is 58741073 composite?
True
Is 1449276109 composite?
False
Is 4489651343 a composite number?
True
Is 498921521 prime?
False
Is 2765975791 a composite number?
True
Is 600373106 a prime number?
False
Is 1158561251 prime?
True
Is 95899391851 prime?
True
Is 6389287051 composite?
True
Is 902544763 prime?
True
Is 77031416029 prime?
True
Is 266292505631 prime?
True
Is 14641347849 prime?
False
Is 698208473 a prime number?
True
Is 10168142095 prime?
False
Is 3400656713 a composite number?
False
Is 31908545933 composite?
True
Is 112684125329 a prime number?
True
Is 8773325611 a prime number?
True
Is 369483701 composite?
True
Is 788579933 a composite number?
True
Is 1144089599 a composite number?
False
Is 6289519477 composite?
True
Is 648237103 composite?
False
Is 102384203762 a prime number?
False
Is 1220611877 prime?
False
Is 3601186073 a composite number?
False
Is 2212222687 a prime number?
False
Is 5382385919 a prime number?
True
Is 309993107 a prime number?
True
Is 13670514958 prime?
False
Is 715168901 composite?
True
Is 25919037887 a composite number?
False
Is 257138903 a composite number?
True
Is 27060490021 composite?
True
Is 6358310467 prime?
False
Is 452240795 a prime number?
False
Is 480800011 a prime number?
True
Is 21186118819 a composite number?
True
Is 19693663201 prime?
True
Is 7941730661 a prime number?
True
Is 378944717 composite?
True
Is 3591894157 a prime number?
False
Is 19673232107 composite?
False
Is 245318603 composite?
False
Is 66481995691 a composite number?
True
Is 877775101 composite?
True
Is 1471972207 a prime number?
False
Is 5361202817 a composite number?
False
Is 2569738823 a composite number?
False
Is 3235766399 composite?
False
Is 329992415882 a prime number?
False
Is 3575504458 prime?
False
Is 659692981 a composite number?
True
Is 5662155049 a composite number?
False
Is 256340763669 composite?
True
Is 533113667 prime?
True
Is 51559349 a prime number?
True
Is 2007612701 composite?
True
Is 11446020517 a prime number?
False
Is 135103844641 a prime number?
False
Is 1333700222521 composite?
False
Is 2070743117 a composite number?
True
Is 11816145773 prime?
False
Is 23534213453 composite?
False
Is 3928279414 a prime number?
False
Is 10811799811 a prime number?
True
Is 41121371527 composite?
False
Is 7418764277 a prime number?
False
Is 4363104679 a prime number?
True
Is 164000580809 composite?
True
Is 109778320813 a composite number?
True
Is 4577113249 a prime number?
False
Is 333448501 composite?
False
Is 58572281 a composite number?
False
Is 40426111987 a prime number?
False
Is 835981423 a prime number?
True
Is 27994202063 a composite number?
False
Is 414751943 a compos | {
"pile_set_name": "DM Mathematics"
} |
60340059 + 312460340059 - 13*p + 4*p - 6*p.
-15*p
Collect the terms in 4*m - 1138 + 829 + 307.
4*m - 2
Collect the terms in 41*m - 265*m + 55*m + 49*m + 98*m.
-22*m
Collect the terms in -796673*u**3 - 796732*u**3 + 1593412*u**3.
7*u**3
Collect the terms in -58830*d**3 - 2*d + 4*d - 2*d + 0*d.
-58830*d**3
Collect the terms in -84*p**2 + 40*p**2 + 44*p**2 + 1126335*p**3.
1126335*p**3
Collect the terms in 461*x**3 + 10*x**2 - 10*x**2 + 662*x**3 - 347*x**3.
776*x**3
Collect the terms in -35 + 10031696*k**2 + 35 - 10031675*k**2.
21*k**2
Collect the terms in -121726 - 2989*b**2 + 121726 + 2956*b**2.
-33*b**2
Collect the terms in -57231*q**3 + 113579*q**3 - 56347*q**3.
q**3
Collect the terms in 3482*v**2 + 3494*v**2 - 6977*v**2 + 8*v - 7*v.
-v**2 + v
Collect the terms in 5*n - 3*n + 0*n + 81 - 29*n**3 - 18 + 25*n**3.
-4*n**3 + 2*n + 63
Collect the terms in 30*c - 72*c + 9*c + 51*c + 15 + 4*c**2 - c**2.
3*c**2 + 18*c + 15
Collect the terms in -221*f - 246*f + 1001*f - 211*f - 290*f.
33*f
Collect the terms in 5*p - 12*p - 1332 + 1264.
-7*p - 68
Collect the terms in 9682*h + 5546*h - 433*h + 11009*h.
25804*h
Collect the terms in 218058*u**3 - 493295*u**3 + 275241*u**3.
4*u**3
Collect the terms in -95055*j + 206355*j - 111299*j.
j
Collect the terms in 12*i + 46 - 2469 + 384.
12*i - 2039
Collect the terms in 22*f**3 + 188*f - 83*f + 0 + 71*f**3 + 0 - 110*f.
93*f**3 - 5*f
Collect the terms in 342 + 35*a**2 - 34*a**2 - 170 - 168.
a**2 + 4
Collect the terms in 8 - 8 - 8*w**2 - 9*w**3 - 7*w**3 - 49*w.
-16*w**3 - 8*w**2 - 49*w
Collect the terms in -221*s**2 - 1595*s**2 - 888*s**2 - 585*s**2 - 281*s**2.
-3570*s**2
Collect the terms in -11*f - 28 + 21 - 14 + 13*f + 21.
2*f
Collect the terms in 185392*p**3 - 370619*p**3 + 185529*p**3 + p - p.
302*p**3
Collect the terms in -193 - 37*p + 41 + 50 + 61 + 39.
-37*p - 2
Collect the terms in 6269*g**3 - 43324*g**3 - 36823*g**3.
-73878*g**3
Collect the terms in -2646 - 6810 - 7104 - 2*x.
-2*x - 16560
Collect the terms in -22*t**2 - 8*t**2 + 37*t**2 + 13 + 55*t**2 - 10.
62*t**2 + 3
Collect the terms in 407*d + 408*d + 276 - 547 - 796*d + 272.
19*d + 1
Collect the terms in -25*l - 39*l**3 + 15*l**3 - 6*l**3 + 22*l.
-30*l**3 - 3*l
Collect the terms in -65052*w**2 + w**3 - 164385*w**2 + 14825*w**2.
w**3 - 214612*w**2
Collect the terms in 151*d**2 + 148*d**2 + 39*d - 601*d**2 + 151*d**2 + 147*d**2.
-4*d**2 + 39*d
Collect the terms in 142*z + 44 + 49 + 73 - 54*z - 169 + 222*z.
310*z - 3
Collect the terms in -86*j**2 + 7*j**2 - 484626*j + 2*j**2 + 1 + 484628*j.
-77*j**2 + 2*j + 1
Collect the terms in 76*a**3 - 26413829 + 26413829.
76*a**3
Collect the terms in 103*q**2 + 65 - 370*q**2 + 101*q**2 + 70*q**2 + 95*q**2.
-q**2 + 65
Collect the terms in 3290921*q + 3290589*q - 6581506*q.
4*q
Collect the terms in 235*z**2 - 162*z**2 + 6 - 143*z**2 - 103*z**2.
-173*z**2 + 6
Collect the terms in -t + 468 - 122 - 120 - 192.
-t + 34
Collect the terms in 210968*g - 210967*g + 2917 + 2914 + 2916 - 8747.
g
Collect the terms in -265*q**3 + 647*q**3 + 318*q**3.
700*q**3
Collect the terms in -4 + 2 + 40499*k + 4 - 2.
40499*k
Collect the terms in -3*o**2 - o**2 + 5 + 46*o - 44*o + 109.
-4*o**2 + 2*o + 114
Collect the terms in 112842*v + v**3 - 7 - 3*v**3 + 4*v**3.
2*v**3 + 112842*v - 7
Collect the terms in -3 + 2620*g - 2 - 2 + 8 - 1792*g.
828*g + 1
Collect the terms in -132417*a - 43*a**2 + 132417*a + 0*a**2.
-43*a**2
Collect the terms in -58*t + 12*t - 6*t - 197*t + 59*t - 10*t.
-200*t
Collect the terms in 272853*d**2 + 272857*d**2 + d**3 - 818558*d**2 + 272848*d**2.
d**3
Collect the terms in -3212178424 + 1606089210 - c + 1606089214.
-c
Collect the terms in -2685*g + 1731*g + 1177*g.
223*g
Collect the terms in -264*q**3 - 113*q**3 - 91*q**3 + 6*q + 264*q**3 - 5*q.
-204*q**3 + q
Collect the terms in 18 + 3*w - 4*w - 56 - 3767*w**3 + 29.
-3767*w**3 - w - 9
Collect the terms in -73*o - 30*o + 145*o - 16*o - 9*o - 11*o - 8*o.
-2*o
Collect the terms in 18*w - 7*w - 2*w + 20*w - 23*w - 7*w.
-w
Collect the terms in 2 - 916594*h**2 + 925683*h**2 - 2.
9089*h**2
Collect the terms in 17*m - 15*m + 223 + 1801*m**2 - 111 - 113.
1801*m**2 + 2*m - 1
Collect the terms in 17352*o - 571*o + 23439*o.
40220*o
Collect the terms in -2*b**3 + 19*b**2 - 169*b - 19*b**2 - 72*b + 241*b.
-2*b**3
Collect the terms in -1798190*g**3 + 899101*g**3 + 899104*g**3.
15*g**3
Collect the terms in 19 + 23 - 42 + 35583*h.
35583*h
Collect the terms in -4813635*z - 4 + 4 + 2406782*z + 2406851*z.
-2*z
Collect the terms in 20208*i**3 - 40669*i**3 + 20468*i**3.
7*i**3
Collect the terms in 189947*t - 193878*t - 3 + 6.
-3931*t + 3
Collect the terms in 3277*h**2 - 3404*h**2 - 311*h + 313*h.
-127*h**2 + 2*h
Collect the terms in 1935*z**3 - 1930*z**3 - 19*z + 279 + 16*z - 279.
5*z**3 - 3*z
Collect the terms in u**3 + u**2 + 43*u**3 + 125*u**3 + 162*u**3 + 18*u**3.
349*u**3 + u**2
Collect the terms in 94105*u - 376432*u + 94105*u + 94104*u + 94106*u.
-12*u
Collect the terms in -129 + 2*i**2 + 33 + 28 + 42 + 26 - 76*i.
2*i**2 - 76*i
Collect the terms in 2499686*m**2 - 833230*m**2 - 833224*m**2 - 833228*m**2.
4*m**2
Collect the terms in -843*d**2 + 1689*d**2 - 4 + 4 + 11682*d**2.
12528*d**2
Collect the terms in -57*u**2 - 397*u**2 + 1155*u**2 + 2689*u**2.
3390*u**2
Collect the terms in 65747*w**2 - 12 + 4227*w - 4227*w + 12.
65747*w**2
Collect the terms in -759*b + 0 - 24 + 150*b - 21.
-609*b - 45
Collect the terms in 139*i - 1 + 1 + 444*i + 1619*i - 3674*i.
-1472*i
Collect the terms in 32381 + 679*o - 1361*o + 681*o.
-o + 32381
Collect the terms in -59*j**3 - 64*j**3 - 10 - 51*j**3 + 6 + 173*j**3 - 21.
-j**3 - 25
Collect the terms in 2 - 52474*u + 104993*u - 52500*u.
19*u + 2
Collect the terms in l**2 + 48 + 14 + 12 + 10 - 20 - 64.
l**2
Collect the terms in -1177*x**2 - 11*x**3 - 1229*x**2 + 1 + 2406*x**2 - 34*x**3.
-45*x**3 + 1
Collect the terms in 13*g + 2 + 0 - 122*g.
-109*g + 2
Collect the terms in 62318*i - 186843*i + 62319*i + 62418*i.
212*i
Collect the terms in -6 + 5 - 7091*r**3 + 6495*r**3.
-596*r**3 - 1
Collect the terms in -2523 - 8*s - 10*s - 875 + 312.
-18*s - 3086
Collect the terms in -106*a**3 - 3*a - 12982 - 563*a**3 + 12982 + 7*a.
-669*a**3 + 4*a
Collect the terms in 2829*l**3 + 2*l**2 - l + 5230*l**3 - 5*l**2 + 3*l**2.
8059*l**3 - l
Collect the terms in -16150 + 31*o**3 + 28*o**3 - 16*o**2 + 16150 + 16*o**2.
59*o**3
Collect the terms in 368058851*w**3 - 2 - 368058848*w**3 + 2.
3*w**3
Collect the terms in 4586 + 3*y - 11*y - 13749 + 4576 - y**2 + 4587.
-y**2 - 8*y
Collect the terms in 2 + 3 + 2204*j - 9346*j - 4.
-7142*j + 1
Collect the terms in 48733*o + 48736*o + 48715*o + 48715*o - 194860*o.
39*o
Collect the terms in -837498*t + 49 - 49 + 837350*t.
-148*t
Collect the terms in -43*p + 569*p**2 + 30*p + 13*p + 206*p**2.
775*p**2
Collect the terms in 2238267412 - 2238267412 - 29*d**3 - 2*d**3.
-31*d**3
Collect the terms in -1345959*p + 1345959*p - 10*p**2.
-10*p**2
Collect the terms in 55*t + 0*t - 3*t**2 - 69 + 0*t**2 + 4*t**2 + t**2.
2*t**2 + 55*t - 69
Collect the terms in 309*t**2 + 3*t - 213*t**2 - 90*t**2.
6*t**2 + 3*t
Collect the terms in -889709 - 595*v**2 - 7*v + 889709.
-595*v**2 - 7*v
Collect the terms in -73*n**3 + 26*n**3 + 118 + 16 - 3*n**2 + 3*n**2.
-47*n**3 + 134
Collect the terms in -10 + 31 - 16 - 30 + 57*u.
57*u - 25
Collect the terms in 3*g + 26932*g**2 - 138 - 26925*g**2 - g - g.
7*g**2 + g - 138
Collect the terms in -24367*u + 48717*u - 24354*u - 69*u**2.
-69*u**2 - 4*u
Collect the terms in -20027 + 38729 - 18702 - 4*q**2.
-4*q**2
Collect the terms in c**2 + 0*c + c**2 - 60*c + c**2 - 5 - 4*c.
3*c**2 - 64*c - 5
Collect the terms in -98954*f**2 + 296805*f**2 - 98941*f**2 - 98942*f**2.
-32*f**2
Collect the terms in 14054*i**3 + 3*i**2 - 13617*i**3 - 3*i**2.
437*i**3
Collect the terms in -45048*m**2 + 22542*m**2 + 22564*m**2.
58*m**2
Collect the terms in 185*v**2 + 166154*v + 166146*v - 42*v**2 - 332298*v.
143*v**2 + 2*v
Collect the terms in -1025842 + 2051399 - 1025673 + 0*g + g.
g - 116
Collect the terms in -8852*k**2 - 9109*k**2 - 3*k**3 + 27037*k**2 - 9076*k**2.
-3*k**3
Collect the terms in -62447*c**2 - 3*c + 3*c - 634063*c**2.
-696510*c**2
Collect the terms in 3322*r - 1236*r + 2691*r - 1018*r.
3759*r
Collect the terms in 4*o - 7*o + 1225*o**2 - 12 | {
"pile_set_name": "DM Mathematics"
} |
?
6
Let g = 8 + -5. Suppose 0 = -g*j + 3*p + 12, -4*j + 3*p = -2*j - 9. Suppose 3*t - 4*h = 25, t + j*h = 5*t - 31. What is the units digit of t?
7
Suppose -4*v - 3*p + 636 = 0, v + 3*p - 159 = -2*p. What is the tens digit of v?
5
Suppose 0*y = 5*y - 5. What is the units digit of (-4 + -2)*(y - 2)?
6
Let n = -136 - -198. What is the units digit of n?
2
Let z be (-1)/(-3) - 24/(-9). Let v(m) = 0*m + 4*m - 2*m**2 + m**z - 6*m - 2. What is the units digit of v(3)?
1
Suppose -6*w + 4*w - 10 = -3*u, 3*w = -4*u + 2. What is the tens digit of 35 + 1 + -3 - u?
3
Suppose -4*c = -3*c - 2*f - 113, 5*c = 5*f + 550. What is the hundreds digit of c?
1
Suppose -18 = l + 4*p, -3*l + 0*l + 4*p + 26 = 0. Let o be (-1 + 2)*-1*-1. Let i = l + o. What is the units digit of i?
3
Let a(r) = 4*r**2 - r - 2. Let s be a(2). Suppose -36 = -5*h + h. Suppose -h*i + s = -6*i. What is the units digit of i?
4
Let f(u) = -u - 4. Let c be f(-2). Let z(d) = 5*d**2 - d - 4. What is the tens digit of z(c)?
1
Let d(g) = 11*g**3 - 15*g**2 + 3*g + 4. Let w(y) = 5*y**3 - 7*y**2 + y + 2. Let z(x) = 3*d(x) - 7*w(x). What is the tens digit of z(-2)?
2
Let w = 1 - 0. Let v = 0 + w. Suppose -r - v = -3. What is the units digit of r?
2
Suppose -312 = -4*a + 2*f, 3*a - 389 = -2*a + 2*f. What is the units digit of a?
7
Suppose -2*l - 7 = -3. Let b be 18/(-5 - l) + -1. Let j(v) = -v. What is the units digit of j(b)?
7
Let z(o) = o + 9. Let m be z(-10). What is the units digit of 10*m/4*-2?
5
Suppose 0 = 5*b - 20, -3*d - 2*b + 23 = 3*b. What is the units digit of d?
1
Suppose 0 = u + 4, 0*o = 4*o + u - 208. What is the units digit of o?
3
Let m(d) = -9*d + 2. What is the units digit of m(-2)?
0
Let r = 342 + -181. What is the hundreds digit of r?
1
Let w(g) = -g**2 - 9*g - 9. Suppose 3*k + 5 = 2*q - q, 3*k - 10 = -2*q. Suppose k = 5*t + 2 + 33. What is the units digit of w(t)?
5
Suppose 2*h = 5*m - 76, 4*m - h = -3*h + 68. Let f = m - 8. What is the units digit of f?
8
Let l(r) = 5*r + 11. Let j(p) = p + 3. Let h(z) = -9*j(z) + 2*l(z). Let w be h(5). Suppose w*q - 12 = -2*q. What is the units digit of q?
6
Let t be (3 - 2)*-1*13. Let z = 5 - t. What is the tens digit of z?
1
Suppose 63 + 15 = 2*l. What is the units digit of l?
9
Suppose -18 = -3*n - a, -24 = -4*n - 4*a + 2*a. Let l(z) = -z**3 + 4*z**2 + 7*z + 2. Let t be l(5). Let k = t - n. What is the units digit of k?
6
Let h be -4*4/(-1*4). What is the tens digit of 1 + (2 - h) + 30?
2
Let x be (-2)/(-3) + (-6)/(-18). Let z be 0/2*x/(-2). What is the tens digit of 5/(z - 3/(-6))?
1
What is the tens digit of 18/((6/9)/1)?
2
Let u = 29 - 17. Suppose 5*w + 3*o - 128 = o, 0 = w - 3*o - u. What is the tens digit of w?
2
Suppose -v - 77 = 3*i + 3*v, -5*v - 103 = 4*i. Let x = i - -43. Let g = x - 7. What is the units digit of g?
9
Suppose -180 = -6*u + 168. What is the units digit of u?
8
What is the units digit of (-1)/(-10)*5*28?
4
Suppose -3*g = 17 - 2. Let h = g - -10. Suppose 0 = -5*k + 7 + 13, -13 = o - h*k. What is the units digit of o?
7
Let m be (3/4)/((-1)/(-4)). Suppose -m*i + 2*i + 35 = 0. What is the units digit of i?
5
Suppose 5*p - 106 = 54. What is the tens digit of p?
3
Let y(j) = -j**3 + j - 3. Suppose 2*f + q - 10 = 0, -2*q = 2*f + 2*q - 22. Let p be y(f). Let h = -13 - p. What is the units digit of h?
4
Let s = 37 + 9. What is the units digit of s?
6
Let t = 13 + 26. What is the units digit of t?
9
Let t = 1 + 0. Let a be (2 + -2)*1/t. Suppose a = f - 6 - 2. What is the units digit of f?
8
Let z(w) = -w + 11. Let a(n) = n - 5. Let p be a(4). Let r be 6 + -3 - (p - -4). What is the units digit of z(r)?
1
Let z = 11 - 3. Suppose 5*i = z*i - 6. What is the units digit of i?
2
Let o be -9 - (4/(-2) - 0). Let c(y) = -y - 2 + 3*y - 2*y - 2*y. What is the tens digit of c(o)?
1
Suppose -5*a - 20 = -2*r, -a = 5*r - 6*a - 35. Suppose 32 = 3*p + r*b, 4*p - p - 3*b = 48. What is the units digit of p?
4
Suppose 0 = -2*v + v - 1. Let b = v + 3. Suppose i = -2, h - 3*i + b*i = 4. What is the units digit of h?
2
Let m = 1 + -1. Suppose -2*n - 2 = -m*n. What is the units digit of (-2 + 4 + n)/1?
1
What is the units digit of -27*3*4/(-9)?
6
Let t(p) = p**2 + p. Let g be t(-2). Suppose 4 = g*z - 2. What is the units digit of z?
3
Let k = 4 - -3. What is the units digit of k?
7
Let b(g) = 2*g - 3. What is the tens digit of b(11)?
1
Suppose 0*f = -f + 5. Suppose 0 = i + c + c + 3, 3*c + 11 = f*i. What is the units digit of i?
1
Let x(d) = 2*d**2 - 3*d + 3. Let b be x(-3). Let m = b - 20. What is the units digit of m?
0
Let r(n) be the second derivative of n**5/20 + 3*n**4/4 + 4*n**3/3 - 4*n**2 - 2*n. What is the tens digit of r(-7)?
3
Suppose p - 5*p = 2*f + 26, 20 = -4*p. Suppose -16 = -0*t + 2*t. Let r = f - t. What is the units digit of r?
5
Let x = 289 - 155. What is the tens digit of x?
3
Suppose -2*p - 12 = -14. Suppose -5*x + 11 - p = 0. What is the units digit of x?
2
Suppose l - 4*n = -1 - 1, -4*l - 5*n - 29 = 0. Let o be 1 + 1 - (l + 3). Suppose 5 = -i, -1 - 20 = 4*p + o*i. What is the units digit of p?
1
Suppose 0 = -3*u - 5*y + 84, 2*u = -2*u + y + 112. What is the units digit of u?
8
Suppose 8 = -4*t + 5*i, 3*t - 5*t + 3*i - 6 = 0. What is the units digit of t?
3
Let a = 24 + 15. What is the units digit of (4/6)/(2/a)?
3
Let o(a) = 9*a**2 + 3*a - 3. Let l be o(-5). Suppose -5*t = v - l, 2*t - 93 = 6*v - 3*v. What is the units digit of t?
2
Suppose 5*f = -2*u - 155, -f + 2*u = 3*f + 106. Let h be 3/2*-1*12. Let l = h - f. What is the units digit of l?
1
Let f = 27 - 29. What is the tens digit of (f + -1)/(33/(-506))?
4
Suppose 0 = 12*h + h - 2613. What is the tens digit of h?
0
Suppose 5*c + 11 - 71 = 0. Let i be (-4)/c - 32/(-6). Suppose -i - 39 = -4*o. What is the tens digit of o?
1
Let j(o) = 2*o**2 + 2*o - 3. Let u be j(3). Let t be (-6)/u - 9/(-7). Suppose 2*d - 3 = -t. What is the units digit of d?
1
Suppose -108 = -4*o + 3*c, 0*o + o = 4*c + 40. What is the tens digit of o?
2
Suppose 3*d - 133 = -2*s, 0*d + 3*d = 2*s + 149. What is the units digit of d?
7
What is the units digit of (-1)/(-8) + (-7932)/(-32)?
8
Suppose -2*a = -4*a - 26. Let z = 27 - 2. Let p = a + z. What is the units digit of p?
2
Let a(f) = -41*f**3 + f**2. What is the tens digit of a(-1)?
4
What is the units digit of 1*(-3 - (-4 - 0))?
1
Suppose -o - 33 = 2*o. What is the units digit of (-2)/o + (-256)/(-44)?
6
Let o(n) = 0*n - 5*n**2 + 3*n + 10*n**2. Let w be o(-5). Suppose 5*k = 2*d - 74 + 18, w = 5*d - 5*k. What is the units digit of d?
8
Suppose -510 = -4*d + 110. What is the units digit of d?
5
What is the tens digit of 4 + 1113/18 + 2/12?
6
Suppose -4*k + 73 = 2*p - k, -157 = -5*p + k. What is the units digit of p?
2
Let q = -122 + 282. What is the units digit of q?
0
Let j(m) = -m. Let w = -2 + -8. What is the tens digit of j(w)?
1
Suppose -5*p = 5, -g - 4*p - 36 = -3*g. Suppose -7*l + 3*l + g = 0. Suppose -o = s - 3 - 7, 5*o = l*s - 22. What is the units digit of s?
8
Let f(u) = u**3 - 5*u**2 + u - 5. Let w be f(5). Let c(m) = m + 3. Let j be c(w). Suppose -q + 1 = -4*x + 38, 3*x + j*q = 9. What is the units digit of x?
8
Let q(z) = z**3 - 4*z**2 - 2*z - 1. Suppose 0 = 2*b - 2 - 8. Let u be q(b). Suppose -5*l + u = 4. What is the units digit of l?
2
Let a be (-41)/(-2) + (-3)/(-6). Let p = a - 3. What is the units digit of 2 + p/3 + -1?
7
Let v(f) = -f**3 - 7*f**2 - 4*f + 12. Let d be v(-6). Let g(t) = t**2 + 4*t + 2. Let n be g(-4). Suppose n*b = -d*b + 34. What is the tens digit of b?
1
Let i(d) = -3*d + 2. Let w = 1 + -6. What is the tens digit of i(w)?
1
Let o be 0 + (-3 - -10) + -3. Suppose 0 = 4*x - 0*x - o. Let w = 2 + x. What is the units digit of w?
3
Let k(n) = 6*n**3 - 6*n**2 - 10*n + 8. What is the tens digit of k(4)?
5
Suppose -8*a - 50 = -3*a. Let y = 18 + a. What is the units digit of y?
8
Let s = 15 - 9. Let u = 8 - s. Suppose 2 = -3*p - u*d - 5, -3*p + 23 = -4*d. What is the units digit of p?
1
Let i(t) = 6*t**2 - 5. Let z(n) = -5*n**2 + n + 6. Let f(r) = -4*i(r) - 5*z(r). What is the tens digit of f(9)?
2
What is the tens digit of 760/16 - (-2)/4?
4
Let m(p) be the first derivative of -p**4/4 + 4*p + 3. What is the units digit of m(0)?
4
Let g(m) = 4*m + 3. Let n be g(-2). Let u(r) = -2*r - 7. Let v be u(n). Suppose 0*f - v*f = - | {
"pile_set_name": "DM Mathematics"
} |
e -u = -4*v + 268, -3*v - 7*u + 4*u + 216 = 0. Suppose x = 77 - v. Solve -17 = t + 5*l, 5*l + a + x = 2*t for t.
3
Suppose 649 - 273 = 188*f. Solve -2*m = 5*q - 7*m - 10, -5*m + 11 = f*q for q.
3
Let n = -363 - 622. Let v = -982 - n. Solve 7*b + 6 = 4*b - k, -24 = 5*b - v*k for b.
-3
Let y = 101 - 181. Let b be ((-16)/(-5))/((-16)/y). Solve 8 = -2*w - 4*z, w + w - 4*z = b for w.
2
Let k(p) = 2*p**2 + 145*p + 616. Let l be k(-68). Solve 3*c + 7 = 10*f - 11*f, l*f + c = -17 for f.
-4
Let r = -2902 - -2923. Solve -4 = 4*o + y - r, 4*y = 2*o - 4 for o.
4
Let q = 62 - 59. Let u = q - -17. Let r = -16 + u. Solve 3*s = 5*z - 12 - 16, -s + 19 = r*z for z.
5
Let p(j) = -4*j**2 - 15*j + 6. Let l be p(-4). Solve -21*x + 26*x = t - 19, -l*x = -t + 10 for x.
-3
Let c be 2*-1*(-18)/4. Suppose v + 4*l + 16 = 25, v - 5*l = -c. Solve -n = -g - 8 - v, -4*n = -2*g - 26 for g.
-5
Suppose 30 = 2*m + 21*a - 16*a, 4*m + a - 24 = 0. Solve x + w - 24 = -28, x - m = 2*w for x.
-1
Suppose -2*x = -j - 4*x - 4, -2*j - 2*x - 4 = 0. Let a = -8 - -10. Solve 2*f + a*g = 16, -f + 0*f - 2*g + 11 = j for f.
5
Let g(m) = 19*m**2 + 16*m - 87*m**2 + 27*m**2 + 18*m**2 + 25*m**2. Let z be g(-8). Solve 5*x = -z*w + 2*w - 23, 0 = -4*x - 20 for w.
-1
Let h = 96 + -79. Suppose -2*p + h - 1 = 0. Let m be p/48*(0 + 6 - 0). Solve -5*n - 4 = a, 2*a - 2*n + 3*n - m = 0 for a.
1
Let f be 0/1*7*4/56. Suppose f = 5*p - 5*m - 28 - 7, -5*m - 15 = -p. Solve p*s + 32 = -4*t, -2*s - t = -s + 7 for s.
-4
Let h = 120 + 1. Let j = 62 - h. Let p = -27 - j. Solve -c + 2*v - 7 = -1, 3*c + 4*v - p = 0 for c.
4
Suppose 0*p - u = -4*p + 81, 76 = 4*p + 4*u. Suppose 0 = 6*i - 9*i. Suppose i + p = 2*d. Solve 2*o + c - 3 - 1 = 0, 2*c = 2*o - d for o.
3
Suppose 0 = 539*z - 88936 + 28029. Solve 0 = 5*s + 5*u - 63 + z, -3*u = -s + 10 for s.
-5
Suppose 47*l - 65004 + 64910 = 0. Solve -3*x - 5*r + 19 = 0, -l*r = -5*x - r + 13 for x.
3
Let z = 683 - 657. Suppose -z = -20*n - 6. Solve m = -2*u - n, -4*m + 9*m + 33 = 4*u for u.
2
Suppose -3*r = -249 + 234. Solve n - 2 = -3*z, r*z + 4 + 6 = 5*n for n.
2
Let c be (-6 - 114/(-9))/(-2)*12/(-8). Solve -4*o - q = 3, -2*q - 11 + c = -4*o for o.
0
Let x(w) = w**3 - 7*w**2 + 4*w + 13. Let r be x(6). Let m be r*((-20)/70 + (-46)/(-14)). Solve l - 12 = -5*y, 5*y = -0*l - m*l + 6 for y.
3
Let b(x) = -6*x**3 - x**2 - x. Let r be b(-1). Suppose -m = r*m - 14. Suppose v - 2*j = -7, 4*v + 3*j + m = 29. Solve v*w = 3*f + 3, 4*w - f - 36 = -5*f for w.
5
Suppose 2*g + 3*k - 36 = 0, -1 = -g + 5*k + 4. Solve -3*f = -4*z - 6, g*z - 5 = -2*f + 18*z for f.
-2
Suppose 3*j - 3*u = 75, -160 = j + u - 171. Solve -3*c = -2*z + 18, 64*c - 67*c = 4*z + j for c.
-6
Let u(w) = 4*w + 8. Let y be u(-1). Suppose p + p = 5*l - 19, l - 3*p = -y. Solve -l*r = -5*f + 25, r - 3 = -5*f + 4 for r.
-3
Suppose -6*n = -37*n - 930. Let v be (-24)/n - 4/10*2. Solve -2*i + 6*l - 2*l + 6 = 0, v = -2*i - 4*l - 2 for i.
1
Suppose -46*k = -43*k + 1911. Let t be (-9828)/k + 6/(-14). Solve -4*g + 4*u = -2*g - 20, -t = -2*g + 3*u for g.
0
Let b = 3920 - 3917. Solve -9 - 9 = -3*i + b*t, 4*i + 4*t = -16 for i.
1
Suppose 0 = 126*b + 28*b - 501 - 731. Solve 2 = -y + 2*x, -b*x + 9*x + 2 = 2*y for y.
2
Let q(g) = -4*g + 44. Let d be q(10). Suppose h - d = 5. Suppose -2*o + 5*s + 26 = 0, 0*s = 2*o - 2*s - 14. Solve h = -r + o*c, -4*r - 8 = -2*r - c for r.
-3
Let m be (-9)/(4 + -7)*(-4)/(-6). Suppose 0*z - 4 = -z + g, 0 = -5*z - m*g + 20. Let s be 6/z*(-10)/(-3). Solve 3*o + 12 = -s*w, 4*w + 2*o + 5 = -3 for w.
0
Let s be 17 - 6 - 63/7. Solve 0 = 2*j - 2*d + 6, -128 = 3*j - s*d - 121 for j.
-1
Let o = -957 + 962. Solve k - o = -5*s, 5*s + 9 + 6 = -5*k for s.
2
Suppose -13 = -3*b - 19. Let t(g) = -6*g - 8. Let s be t(b). Let q(f) = -10*f + 2. Let a be q(-2). Solve 0 = 3*p - 9*o + 4*o + 31, 0 = -p + s*o - a for p.
-2
Suppose 0*d + 4*a + 18 = 2*d, -9 = d + 4*a. Suppose 9*p - 63 = -0*p. Let g be 13/4 - p/28. Solve -k = -3*i + 17, g*k + i = 2*k + d for k.
-2
Let k = -4128 + 4131. Solve -7*d + 11*d + 20 = 4*x, 0 = k*x for d.
-5
Let y = 925 + -922. Solve g - 3*v = 12, 4*v = y*g - v - 20 for g.
0
Suppose 0 = -2*k - 5*r + 21, 50*r = 4*k + 53*r - 49. Solve -k*v + 24 = -5*d - 12*v, 0 = -2*d - 2*v for d.
-4
Suppose 0 = 2*r, 2*r + 312 = -3*p + 4*r. Let q = p - -108. Solve -i = -2*t, 4*i - 4*t = q - 0 for i.
2
Suppose -268 = 2*l - 258, -87 = -3*h + 3*l. Solve t + h*s - 18 = 22*s, -17 = t - 5*s for t.
8
Let f be 9/42*8 + (-2)/(-7). Solve z = -4*p - 8, -4*z = -p - z - f for p.
-2
Let t = 161 + -159. Suppose -t*z + 6*z - 8 = 2*p, 3*p = 0. Solve -5*c + 5*v = 2*v + 5, z*c + 2*v + 18 = 0 for c.
-4
Let f = -19 + 29. Suppose -f*h = -22*h. Solve -8 = -2*z + 5*p, -3*z + 4*z - 4*p - 7 = h for z.
-1
Let v(q) = -22 + 3*q + 6*q - 12*q + 5*q. Suppose -50 + 14 = -3*w. Let m be v(w). Solve p - m*a + 1 = 4, 5*a = 5*p - 5 for p.
-1
Suppose 143*z = 6*z + 411. Solve 4*u + 7 = -3*m + 32, -z*u = m - 15 for m.
3
Let z(v) = -8*v - 38. Let x be z(-10). Let l = 42 - x. Let d(b) = -b**2 + 20*b + 25. Let c be d(21). Solve l = 5*o + 2*k - 20, -4*o = -c*k - 4 + 16 for o.
2
Let x = -630 - -639. Suppose -2*r + 18*i - 15 = 13*i, 3*i = 4*r + x. Solve 0*a + 5*a = 3*o - 18, -4*a + 2*o - 14 = r for a.
-3
Suppose -1138*r + 3*m = -1140*r + 16, -3*m + 11 = r. Solve -39*v + 35 = i - 44*v, -35 = r*v for i.
0
Suppose -141 - 3 = 53*z - 101*z. Suppose -t + 3*t = 10. Solve l - t*d = 11, 0 - z = d for l.
-4
Let n(v) = -v**2 + 10*v - 20. Let y = 37 - 37. Suppose y*w - 5*f + 55 = 5*w, 2*f - 10 = 0. Let a be n(w). Solve i + 22 = -i + a*l, i - 4*l + 19 = 0 for i.
-3
Let v be 1/16*108/(-81) + (-61)/(-12). Solve 0 = -3*p + 43 - 55, 2*p - 2 = -v*z for z.
2
Let d = -28 + 48. Let u(r) = -14*r + 7. Let i be u(-2). Suppose -27 = 2*s - i. Solve -s*l = -2*k + d, 3*k = k + 4 for l.
-4
Let o = 70 - 65. Suppose 0 = o*t + 7*t - 264. Suppose t*z = 6*z + 80. Solve -5*j + 6*r = 3*r - 19, z*r = -j + 15 for j.
5
Suppose 0 = 3*o + 120 + 276. Let h = o + 157. Solve 3*x + r - h = -4*r, 0 = -5*r + 25 for x.
0
Suppose -231 = -31*d + 10*d. Suppose d*q + 7 = 29. Solve -b = -2*m - 2, -m - 4 = -q*b - 4*m for b.
2
Let v(o) = o**2 - 43*o. Let y be v(0). Solve y = 4*j + 3*r - 16, 3*r + 9 = 5*j - 11 for j.
4
Suppose -38 = -2*d - 5*k, 0*d = 5*d + 4*k - 95. Suppose -3*v = -6*v - 45. Let l = d + v. Solve 3*q - w - l = 9, 3*w = -3*q - 3 for q.
3
Suppose 3*a - 2 = 2*o, 85*a - o = 81*a + 11. Solve 11*b + 11 = -a*r + 8*b, 0 = 2*r + 2*b + 8 for r.
1
Let k be (-2)/(-5) + 8/44 + (-1638)/(-1155). Solve -4*z = k*m, 24 = -5*z - m + 27 for z.
1
Let a be ((-63)/42)/(12/(-40)). Solve 4*f = f + 6, -a*p + 17 = f for p.
3
Let n = -292 + 314. Let r = 21 - 38. Let f = n + r. Solve 3 = h, 2*a - 31 = -2*a - f*h for a.
4
Let i(u) = -25*u**2 - 387*u + 217. Let p be i(-16). Solve -5*y + p = -2*w, 2*w - 3*w = 2*y for y.
1
Suppose 0 = -4*u + 1 + 7. Let r = 11 - 7. Suppose 2*f - 248 = -234, 2*t + 2*f = 26. Solve 8 = -r*c - u*n, -5*n + 0 - t = 3*c for c.
-2
Let i be (-4)/(-22) - 318/11*(-14)/(71 + 13). Let g(x) = x**2 + 3*x + 1. Let h be g(-5). Solve -c + 4 = 2*p, i*c + 2 - h = p for p.
1
Suppose -r = -3*g - 11, -10 = -2*r + 3*r + 4*g. Solve 0 = -7*h + 6*h - 5*v - 22, 2*v - r = 5*h for h.
-2
Let w be 150/(-5)*(1 + (-32)/20). Let z be (-15)/9*w/(-5). Let y be z/(-8)*544/(-51). Solve -y = 3*n + 2*o, 2*n = 5*o + 4 - 3 for n.
-2
Suppose 0 = 85*m - 247*m + 2592. Solve -2*v + 7 = 3*y, 148*v - 144*v + 4*y = m for v.
5
Suppose -32 = -7*a + 31. Suppose -408 = -a*y - 381. Solve -5*r + s + 1 = -4, 0 = -y*s - 15 for r.
0
Let h(t) = -14*t + 10. Let c be h(2). Let b(f) = -5*f - 90. Let y be b(c). Solve 2*s + u - 6 = 0, -2*s + 3*u + u - 14 = y for s.
1
Suppose -n - 4*n + 10 = 0. Let g(o) = 5*o**n - 5*o - 4*o**2 + 2 + 16*o + 2. Let t be g(-11). Solve 0 = 5*z + t*k - 0*k + 35, -2*k - 16 = 2*z for z.
-3
Suppose -3*r - 12 = -7*r. Suppose 0 = r*g, 0*g = -f + 5*g + 4. Let x be ((2/4)/(18/(-144)))/(-9 - -7). Solve f*i + 20 = 2*v, i = x*v - i - 10 for v.
0
Suppose 7 = -b + 5*d, -2 = 506*b - 504*b - 4*d. Solve 0 = f - 3*u + 2 + b, 2*f - 5*u = -7 for f.
4
Let c be 2/5 + (-16)/(-10). Let o(d) = -d**c - d**2 - 11*d + 4 - 6*d + 24*d. Let m be o(4). Solve m*t + n = -3*t - 17, 0 = 4*t + 2*n + 24 for t.
-5
Suppose -361 = -9*t - 10*t. Suppose -t + 70 = 17*k. Solve -k*x - 2*u + 6*u = - | {
"pile_set_name": "DM Mathematics"
} |
2*q = w + 5*q - 572. Is 52 a factor of w?
True
Let d = 327 + 2267. Does 65 divide d?
False
Suppose -71750 = -80*x + 121450. Does 40 divide x?
False
Let z be 1408 + (-1 - 0) + -3. Suppose -h + z = 5*h. Is 18 a factor of h?
True
Suppose 0 = 5*k + 3*d - 5567 - 3217, -d + 3513 = 2*k. Is 19 a factor of k?
False
Suppose -5*f = 5*x - 4540, -7*x + 2*x + 4575 = -2*f. Is x a multiple of 11?
True
Suppose 57 = -4*p + 21. Let a(d) be the third derivative of -d**6/120 - 2*d**5/15 + 7*d**4/24 - d**3 - 25*d**2. Is 3 a factor of a(p)?
True
Let s = 196 - 118. Suppose -5*d - 3 = l - 0*l, 5*l + 4*d + s = 0. Is 10 a factor of (3 - (l + 0)) + -1?
True
Let r(v) = -21*v - 21. Let f be r(5). Let l = f - -518. Suppose -z - z = 3*i - l, 2*i + 5*z - 276 = 0. Is i a multiple of 32?
True
Suppose 0*b = -b + 66. Let p = 6 - b. Is 16 a factor of p*((-26)/6 - -4)?
False
Suppose -4*i + 14 = j, 0 = -0*i + 4*i + 5*j - 22. Suppose i*d + 15 = -0. Is 11 a factor of (-154)/(-6)*(d + 8)?
True
Let n = -62 + 64. Suppose -82 = -n*j + j. Is j a multiple of 10?
False
Suppose 4*u = 3*w - 180, -3*w + 0*w = 5*u - 180. Suppose s - 6*s + w = 0. Suppose x = -2*n + 36, -5*x = n - 3*x - s. Is 5 a factor of n?
True
Suppose 0 = -t - 2*q - 0*q - 7, 0 = -4*t - 2*q - 10. Let o = t - 1. Is 585/85 - o/17 a multiple of 3?
False
Let v(t) = 36*t**2 - 3*t - 3. Let q be v(-2). Let d = -106 + 191. Let c = q - d. Does 13 divide c?
False
Suppose 0 = -3*z + z + 10. Suppose -a + 370 = z*t + 4*a, -a - 271 = -4*t. Is 22 a factor of t?
False
Suppose 9*i + 8960 = 23*i. Is i a multiple of 20?
True
Let u(z) = -z**3 + z**2 - z. Let c(o) = -7*o**2 - 2*o. Let b(t) = -c(t) - u(t). Suppose 0 = 3*s - 0*s + 3, p - 2*s = -3. Does 5 divide b(p)?
True
Let w(g) = g**3 + 10*g**2 - 7*g - 7. Let c be w(-5). Suppose -5*d - t - 48 + c = 0, 0 = 3*d + t - 61. Let u = -11 + d. Is u even?
False
Let s be 379/4 - (-3)/(-4). Let o = 165 - s. Is o a multiple of 27?
False
Let g(y) = -3*y + 12. Let h be g(-5). Let v = 38 - h. Let a(p) = p + 9. Does 7 divide a(v)?
False
Is 6 a factor of (147/(-35) - -5)/(2/520)?
False
Suppose -2*n + 14 - 2 = 2*b, -n - 4*b = -9. Let k = 15 - 12. Suppose -n*a + 37 = p, 4*p - 3*a = 3*p - k. Is 6 a factor of p?
True
Let r(u) = -2*u - 22. Let w be r(-12). Suppose 0 = -4*q - 3*a + 4*a + 10, 2*a - w = -3*q. Suppose 2*y - 8 = 5*i + 7, q*y - 35 = i. Is 5 a factor of y?
True
Let f(r) = -12*r**2 - 15*r + 18. Let o(h) = -6*h**2 - 7*h + 9. Let v(d) = -6*f(d) + 11*o(d). Does 6 divide v(-5)?
False
Suppose 6*m - 3*n = m + 30, 0 = m + n - 6. Let j(i) = 12*i - 24. Does 8 divide j(m)?
True
Let s(d) = d**2 + 7*d - 6. Let c be s(-8). Is 16 a factor of (-144)/48 - ((-72)/c - -1)?
True
Let r be -3*(-35)/3 + 4. Let z = -5 + r. Suppose -8*l - z = -9*l. Is l a multiple of 34?
True
Suppose 4*u = -3*u + 63. Suppose 0*v + u*v - 117 = 0. Is 4 a factor of v?
False
Suppose -8*i = -10*i + 8. Is 54*-1*(-4 - i/(-6)) a multiple of 30?
True
Let o(k) = 2*k**2 + 11*k - 26. Is o(4) a multiple of 5?
True
Let u(q) = -3 - 4 - 5*q + 4. Let t be u(-2). Suppose 0 = t*w - 5*w - 68. Is 34 a factor of w?
True
Does 18 divide (-106140)/(-48) - (2/8 - 0)?
False
Let u(m) = 5*m + 22. Let w be u(-4). Suppose -w*b + 8 = 0, 5*s - 169 = -2*b + b. Is 11 a factor of s?
True
Let a = -10 + 17. Let d = 134 + -93. Let y = d - a. Is 8 a factor of y?
False
Is (-1226 + 0)/(-1) + (-55 - -56) a multiple of 109?
False
Let k be (3 + -2 + 0/3)*58. Suppose -k*x - 715 = -63*x. Does 27 divide x?
False
Suppose -13 = 2*w + 5. Let m(n) = -n**3 - 8*n**2 + 9*n - 9. Let k be m(w). Let f(h) = -h**3 - 7*h**2 + 12*h - 1. Is 8 a factor of f(k)?
False
Let v(r) be the second derivative of -r**5/20 + r**4/12 + r**2/2 + 3*r. Let o be v(1). Let u = o + 114. Is 22 a factor of u?
False
Suppose 3*i + 0*n + n + 539 = 0, 2*n = -3*i - 541. Let t = 93 - i. Does 12 divide (3/(-2))/((-8)/t)?
False
Let o(w) = -7*w**2 + 116*w - 79. Does 21 divide o(10)?
False
Let h(t) be the third derivative of -t**6/120 + 2*t**5/15 - t**4/24 + 19*t**3/6 + 2*t**2. Is 8 a factor of h(8)?
False
Let x be (-1840)/(-64) - (-10)/8. Is 4218/x - (-3)/(-5) a multiple of 25?
False
Suppose -63*n + 184624 + 21197 = 0. Is 99 a factor of n?
True
Suppose -i - 30 = -6*i. Let r(j) be the third derivative of j**4/24 + 4*j**3/3 + 120*j**2 - j. Is r(i) a multiple of 14?
True
Let b(o) = -6*o + 9. Let f be b(-18). Let d = 11 + f. Is 16 a factor of d?
True
Let h = 2413 + 128. Is h a multiple of 33?
True
Let g(h) be the third derivative of h**6/120 + 2*h**5/15 + 3*h**4/8 + 4*h**3/3 + 3*h**2. Let w be g(-8). Let x = -44 - w. Is 5 a factor of x?
True
Let a = -4 - -4. Suppose -3*u = -a*u - 12. Suppose -u = j - 25. Is 10 a factor of j?
False
Let d be (129/2)/(18/12). Suppose -m + f = 6*f - d, m - 34 = 4*f. Is 20 a factor of m?
False
Suppose 0 = -18*i + 5*i + 1781. Is i a multiple of 10?
False
Suppose a + 4 = 3*h, -15 + 3 = -h + 3*a. Suppose h*o - 4*o + 36 = 0. Is o a multiple of 3?
True
Suppose 3*i + 15 = 6*i. Suppose 18 = i*o - 2*y, 3*y + 0 + 4 = -4*o. Suppose -u - 5*w - o = -22, -2*w = 3*u - 112. Does 20 divide u?
True
Suppose -2064 = 5*b - 17*b. Does 4 divide b?
True
Suppose -2*p + 28 = -4*h, 0*p + p + 2*h = -2. Let q(d) = 50*d - 25. Let t be q(p). Suppose -37 = -4*m + t. Is 13 a factor of m?
True
Suppose 0*w = 2*w. Let v(o) = o**3 - 4*o**2 - 20*o - 2. Let i be v(7). Suppose i*b - b - 176 = w. Does 11 divide b?
True
Let o = -51 + 640. Let j = -347 + o. Suppose -3*n = 5*s - j, 5*n + 4*s - 320 = n. Does 14 divide n?
False
Suppose 0 = v - 3*b - 15, 2*v + 2*b = -11 + 1. Suppose 3*j - 316 = -2*f, v = 5*f + j - 465 - 325. Does 16 divide f?
False
Suppose -2*s - 3*y + 528 = 0, -5*y - 65 = -s + 186. Is 6 a factor of s?
False
Suppose -4*v - 2421 = -8*v + 3*u, 0 = -5*u + 25. Is 21 a factor of v?
True
Suppose -2*x = 10 - 62. Let r = x + 4. Is 6 a factor of r?
True
Suppose -5*s - 3*s = 0. Suppose -3*y + 189 = -2*i - i, s = -2*y + 4*i + 124. Does 16 divide y?
True
Let b(x) = 14*x - 1. Let c = 4 - -3. Let u = -6 + c. Is b(u) even?
False
Suppose 21*m = 6*m + 150. Suppose -1 = 3*p - m. Does 3 divide p?
True
Let x be (63/5)/(21/70). Suppose 3*y = 4*y - x. Does 14 divide y?
True
Let j = 340 - -110. Is 15 a factor of j?
True
Let w(o) = 2*o - 24. Let h be w(12). Suppose h*u - 12 = -6*u. Is (-532)/(-8) - 1/u a multiple of 33?
True
Suppose 6*r - 584 = 406. Is 5 a factor of r?
True
Is ((-27922)/(-7) - -1) + 69/483 a multiple of 57?
True
Let b(k) = -k**2 + 14*k + 21. Let v be b(15). Suppose -i + v*i - 485 = 0. Does 13 divide i?
False
Let t(j) = 147*j**3 - j**2 + j + 1. Does 46 divide t(1)?
False
Let a(l) = 140*l - 233. Is a(13) a multiple of 69?
True
Suppose i + 0*i = -2*p - 7, -4*p + 4*i + 16 = 0. Let l be (6/(-8))/(p/4). Is 11 a factor of l/(-7) - 80/(-7)?
True
Suppose -3*d + 11*j - 10*j + 2304 = 0, -3*d = -5*j - 2292. Is d a multiple of 21?
False
Let n = 87 + 134. Let a = -152 + n. Does 19 divide a?
False
Let c be 2/2*8/((-24)/(-603)). Let s = -156 + c. Does 5 divide s?
True
Let d be (-6)/9 + (-34)/(-6). Let h be -3 + 6 - 5 - d. Let b(m) = -2*m + 17. Is 13 a factor of b(h)?
False
Suppose 583 + 217 = 10*c. Is c a multiple of 8?
True
Is 105/126 + (-12302)/(-12) a multiple of 54?
True
Let s = 3 + 26. Suppose -2 - s = -l. Is 7 a factor of l?
False
Let k(w) = 4*w**3 - 9*w**2 - 5*w - 7. Let u be k(7). Suppose 0 = 5*g - u - 456. Does 45 divide g?
False
Let h(n) = -n**2 - 19*n + 10. Let t = -3 - 8. Let i be h(t). Suppose 13 = -5*w + i. Is w a multiple of 13?
False
Let z = 1918 + -1912. Let t = 1012 - 382. Suppose -z*u + t = -0*u. Does 24 divide u?
False
Let v = 193 + -299. Let s = -37 - v. Does 23 divide s?
True
Let j = 4082 + -2424. Does 10 divide j?
False
Let s = -6 - -11. Suppose s*k = g - 15 + 40, 2*k - g = 13. Suppose k*u = 96 - 20. Is 13 a factor of u?
False
Suppose -4*x = -1322 - 1626. Does 41 divide x?
False
Let h be 29 + 2 - (1 - 0). Let r(v) = 2*v + 16. Let f be r(-6). Suppose h = f*z - 330. Does 30 divide z?
True
Let v(f) = f**2 - 13*f + 4. Let u be v(6). Let i = u + 21. Does 17 divide 3/2*i*-2?
True
Let s = 86 + -60. Suppose 4*c - s - 274 = 0. Is 10 a factor of c?
False
Suppose -5*f + 228 = 118. Is 2 a factor of f?
True
Let y(m) = m + 6. Let f be y(-4). Suppose 3*n - o = f*o + 228, 3*o + 15 = 0. Let u = n - 43. Is 9 a factor of u?
False
Let g = 643 + -185. Is g a mu | {
"pile_set_name": "DM Mathematics"
} |
n + 16 = 4*u + 5, x = 4*n + u + 16 for n.
-5
Suppose 19 = s - g + 22, -3*g + 15 = 0. Solve -f = -s*b - 0*f - 6, 8 = 2*f for b.
-1
Let l(u) = u**3 + 5*u**2 - 11*u - 25. Let j be l(-6). Solve 0 = 5*h - j*k - 30, -5*h + k = 2*k - 24 for h.
5
Let d be (-29)/(-3) - (-16)/(-24). Let y = 12 - d. Solve 0 = -5*b + 25, 21 = -0*z + 2*z + y*b for z.
3
Suppose -10*f + 563 - 113 = 0. Solve 4*r = -4*a, 0 = -5*r - 5*a + 9*a + f for r.
5
Let z(m) = 15 + 6 + 7 + 2*m + 5. Let x be z(-14). Solve 4*g - 15 = -3*i + 4*i, -3*g + x*i = 10 for g.
5
Suppose -53*z + 48*z + 20 = 0, 0 = 2*y + 3*z - 12. Solve o + v + 14 = -3*v, -5*o - 2*v + 2 = y for o.
2
Suppose -4*o + 3*a = -39, 51*a = 4*o + 56*a + 1. Solve -z - o*h - 1 = -h, -2 = 2*z + 5*h for z.
-1
Suppose 0 = -y - 5*i - 6, -2*i + 3 - 45 = -4*y. Solve -s + 4*s - 12 = -4*p, 3*p - y = 5*s for p.
3
Let d be (-6)/(6*(-1)/20). Suppose 3*f = f + 4. Suppose -2*g - 2 = 4*c, 5*c = -3*g + c + 3. Solve -5*i + d = -g*x, f*i + 2*i - 17 = 3*x for i.
5
Let k = 32 - 32. Suppose -2*s - 3*x - 8 + k = 0, -5*s + 18 = -2*x. Solve -s*r - 2 = -3*y + y, -13 = -3*r - y for r.
3
Let w be (81/6)/(-27)*-10. Solve -3*d = 5*u + 1, -2*d + 0*d + w*u = 9 for d.
-2
Let j be (-2)/(0 + 1 - 2). Suppose -3*l + x = 192 - 215, 3*l - 3*x - 27 = 0. Solve 4*n = -j*t + 22, -n + 3*n = 5*t - l for n.
4
Let f(u) = 4*u**2 + 8*u - 24. Let y be f(2). Solve -2*v - 7 = y*n - 5*n, -2*v - 13 = -3*n for v.
-5
Let l = -8 + 12. Suppose l*f - 122 = 118. Let z = -42 + f. Solve k + 1 = -5*r - 1, -z = 3*r - 5*k for r.
-1
Let y be 0/(-5 - -4)*(-4)/(-8). Solve 4*h + 5*p - 32 = y, 5*h + 2 = 3*h + 2*p for h.
3
Let f be (-138)/(-253)*44/6. Solve 4*k = -f*v - 4, 4*k = -17*v + 18*v + 21 for k.
4
Suppose -28 = 9*m - 16*m. Solve c - 7 = m*a, -5*c + 3*c + 5 = -5*a for a.
-3
Let g(d) = -3*d**2 - 5*d - 32. Let n be g(-6). Let b be n/(-70) + (-9)/(-21). Solve -3*p - 3*c - 31 = b*p, 5*c = p - 5 for p.
-5
Let u(z) = z**2 + z + 1. Let a be u(-2). Suppose x - 4*x + 6 = -g, 0 = -g - a*x + 6. Solve -h + d = g, -d + 12 = 4*h - 2*d for h.
4
Let m(z) = -z**2 - 30*z + 26. Let s be m(0). Solve n - 3*n - 3*q + 18 = 0, 2*n = -5*q + s for n.
3
Let a(h) = h - 4. Let z be a(5). Suppose -g + z = -10. Let f = g + -9. Solve 2*x = -3*k + 3*x - 14, -3*k + f*x = 13 for k.
-5
Suppose -81 = -3*n - 3. Suppose -l = l - n. Let i = l + -9. Solve 3*s = q + i, -2*s - s + 20 = -5*q for q.
-4
Let g(d) = -d**2 + 3*d + 2. Let t be g(4). Let u be -4 + 9/(3 + t). Let h be -3 + 24 - (1 + 0). Solve -4*y - h = 0, u*m - 2*y - 16 = 4 for m.
2
Suppose 1292*j + 16 = 1296*j. Solve 8 = -4*o + 3*t - 2*t, 4*o + j*t + 28 = 0 for o.
-3
Let c = 2 + -1. Let l(y) = 2*y**2 + 1. Let g be l(c). Suppose -w = -g*s + 16, -1 + 5 = -4*w. Solve 3*n + s = z, -n - 5*z = 15 + 8 for n.
-3
Suppose 19*h - 52*h = -66. Suppose 5*d - 58 = -4*r - 7, 4*d - 37 = -3*r. Solve h*t + 0*t = -3*c + r, -27 = -3*t - 4*c for t.
5
Suppose 0 = 5*v - 4*v + 7. Let g = v + 9. Suppose 0 = 4*n - 12, 0*o - 4*o = 2*n - 46. Solve -5*j - 4*s = s + 20, -o = g*s for j.
1
Let n(u) be the second derivative of -u**4/12 - 5*u**3/3 - 13*u**2/2 + 5*u. Let k be n(-10). Let j = 17 + k. Solve -y = 4*h - 13, y + 0*y = j*h - 19 for h.
4
Suppose 20 = -24*b + 14*b. Let n be (-40)/(-30)*(-3)/b. Solve 4*s = -20, -s + 12 = -n*v - 5*s for v.
4
Let w = -53 + 41. Let c = w - -13. Solve -2*b = 5*h + 4, -4*b + c = 4*h - 3 for b.
3
Suppose 0*a = -4*a. Suppose 2*z = 6, 0*y - 2*y + 3*z = 9. Suppose y = 5*i - 33 - 7. Solve 3*w - t + i = a, -w - 10 = 4*w - t for w.
-1
Suppose -66*v + 36 = -48*v. Solve -3*n = -5*l + 27, l + v + 3 = -2*n for l.
3
Let v = -23613 + 23615. Suppose -t - t = 2*q - 2, -3*q - 5*t + 5 = 0. Suppose -2*z + 17 + 23 = q. Solve 0*g = -s + 4*g - z, -5*s + v*g - 10 = 0 for s.
0
Suppose -3*z + 30 = -5*h, 4*z - 2*h - 26 - 28 = 0. Suppose 20*k - z*k = 25. Solve -l = -3*x + 2, -3 - k = 3*x + l for x.
-1
Let a(q) = 0 + 17 - 94*q + 179*q - 88*q. Let l be a(4). Solve 0*s + 20 = l*n - 3*s, n + 4 = -s for n.
1
Let c(f) = -f - 24. Let g be c(-14). Let t be 2*(g/4)/(-5). Solve -5*m = -0*m + 5*l + 15, t = m + 5*l for m.
-4
Suppose 2*q + 99 = 5*q. Let u be 225/q - (-8)/44. Suppose h + 12 = u*h. Solve -l = 2*v + h*v + 17, 0 = 3*v - l + 11 for v.
-4
Let g = 25 - 22. Suppose -g*p - p = -216. Let r be 2/(-12) - (-9)/p. Solve c - w + 0*w + 8 = r, -4*c = 3*w - 3 for c.
-3
Let k(d) = 4*d - 102. Let r be k(27). Solve 0*h + 2*h - 2*o - r = 0, -o = 2*h for h.
1
Suppose b + 4 = -2*h, 1 + 22 = 4*b - 5*h. Solve 4*a - b*y = -22, -a - y = -0*y + 1 for a.
-4
Let j be (-6 + 3)/((52/(-24))/13). Solve 5 + j = -3*f + 5*v, 0 = -4*f + 3*v - 16 for f.
-1
Suppose -p + 3*p = 0. Suppose -2*m = 7 - 19. Suppose -m*s = -s + 4*x, -2*s - 5*x = 17. Solve 3*k - s*u + u + 24 = p, 12 = 4*u for k.
-5
Let a(h) = h**2 - 5*h - 189. Let m be a(17). Solve 0 = 5*v - 5*z - 9 + 24, 4*v - z + m = 0 for v.
-4
Let p be (-4)/8 + (-30)/(-4). Suppose p*m + 224 = -m. Let y = m + 40. Solve 0 = 3*j - 4*v + 26 - 3, -2*j = -2*v + y for j.
-1
Let y(m) = 5 - 3 - 4 - 6*m + 9*m. Let r = -5 - -7. Let s be y(r). Solve s*v = -n - 7, -3*v - 4*n - 8 = -7*v for v.
-1
Suppose 2*d + 8 = 4*o - 8, 3*o = -d + 17. Solve -n + 1 = k - o*n, k - 5*n = 1 for k.
1
Suppose 0 = -p - f + 3, -2*p - f = p - 7. Suppose -p*k = -7*k + 35. Suppose -k = -w - 5. Solve -w*r - 5*j + 10 + 11 = 0, 2*r - 6 = -2*j for r.
-2
Let w = -678 + 690. Solve u - 2 - w = -4*o, -2*o = -5*u - 18 for o.
4
Let k = -752 - -757. Solve -4*h = k*u + 19, 5*h + 5*u = -26 + 6 for h.
-1
Let o(v) = v**3 + 24*v**2 + 22*v + 18. Suppose 2*z = -21 - 25. Let c be o(z). Solve 2*j = -3*q + 6*q + 23, 4*j = 5*q + c for q.
-5
Suppose -5*u - 67 = -5*n + 58, 2*n - 3*u = 50. Suppose 0 = n*c - 20*c - 10. Solve -z - b + 1 = 0, c*z - 1 = 4*b + 1 for z.
1
Suppose 3*w - 12*i + 8*i - 23 = 0, -w + 4*i = -13. Solve -20 = -b - 3*k, -w*b + 4*k = 6 - 11 for b.
5
Let m(l) = 11*l - 11. Suppose -15 + 18 = c. Let a be m(c). Let h be (-4)/(-22) + 1568/88. Solve 0 = 3*y - 5*x + a, 3*x = 5*y + 4*x + h for y.
-4
Suppose 0*l + 5*f = 2*l - 4, -4*f = 5*l - 10. Suppose 3*d - 23 = -4*m, -2*d - l*d + m = -18. Solve 10 = -4*z - d*p, 3*z + 21 = 3*p - 0 for z.
-5
Let v(x) = -2*x**3 - 15*x**2 + 8*x + 2. Let l be v(-8). Suppose q = 7 - l. Solve 4*c = 5*w + 25, -3*w = 2*c - q*w - 12 for c.
5
Let z(f) = -f**2 + 1. Let p = -1 - 0. Let a = p - 0. Let n be z(a). Solve n = 4*g - 12, 9 = -3*k - 0*k + 5*g for k.
2
Suppose -6*p = -3*p + 3*y, 2*p = 3*y + 5. Let x be p/(-2 - (-5)/2). Suppose 15 = x*s + s. Solve 9 = -s*z - 16, -2*w + 26 = -4*z for w.
3
Let s(m) = 5*m + 63. Let y be s(-12). Suppose -4*q = y*n - 69, -3*n + 5 = q - 1. Solve 4*r - 5*h + 9 = -6*h, 0 = 4*r - 5*h - q for r.
-1
Let d be 4 - (-1 - (4 - 4)) - 3. Suppose -10 = -3*b + d*w, 6*w - w = -10. Solve 5*i - 4*a - 7 = 0, b = -5*i + 3*a - 2*a for i.
-1
Suppose 0 = -2*l + 5*l - 6. Solve 3*x = -5*c - 6 - l, 0 = -4*c - 3*x - 4 for c.
-4
Suppose -4*l + 38 = -3*j - 22, -l + 15 = 3*j. Solve -2*h - 2*h + v = 9, 0 = 5*v + l for h.
-3
Let x be 1 - (0 - (-1)/2)*2. Suppose x = -0*h - 4*h + 56. Solve 5*s + j + j - 13 = 0, -3*s + h = -5*j for s.
3
Let k = 328 - 326. Solve -2*h + 3*a - k*a - 6 = 0, 2*h + a = -14 for h.
-5
Let g(v) = v**2 + 4*v - 7. Let t be g(-6). Let r(h) = -h**2 - 9*h + 222. Let b be r(-20). Solve -4*w = b*l - 16, -3*l - 6 = w - t*w for l.
2
Let a = 4 - 4. Suppose 5*m - 4 - 6 = a. Solve -y + 5 = m*l + 1, 12 = -2*l - 5*y for l.
4
Suppose -27*s = -22*s - 10. Solve 5*a - 15 = w, -s*a + 12 = -6*a - 4*w for a.
2
Suppose -2*c - 26 = -2*p - 2*p, 5*p + 5*c + 5 = 0. Let b be (-15)/21*-6 - p/14. Solve f = 6*f - 15, 1 = b*y + 3*f for y.
-2
Let a be 48/22 + 22/(-121). Suppose -u + 9 = a*u. Solve u*j + n - 12 = -j, -3*j = 3*n - 9 for j.
3
Let k be 4 - (-1 - 1) - (-66 + 69). Solve 0 = c - k*b - 2, 4*c - 5 - 13 = 2*b for c.
5
Suppose s + s - 10 = -4*d, s = 2*d - 15. Solve -o - d = b, b + 20 = -3*b + 4*o for b.
-5
Let v be 21344/1392*-3*1/(-2). Solve f - v = 4*j, 4*f + 4*j = 3*f - 17 for f.
3
Let d(o) = o**3 - 7*o**2 + 7*o - 6. Let n be d(6). Suppose 3*v = -4*p + 18, p + v - 3*v + 1 = 0. Solve -h - f = -2*f + p, n = 2*f for h.
-3
Suppose -1 = 4*d - 213. Let b = d - 48. Solve -2*p - b*o = -35, -19 = -2*p - o - 4 for p.
5
Let l(x) = 2*x**3 + x**2 + x + 5. Let s be l(0). Solve -3*a - 4*w = 0, s*a = -5*w + 6*w for a.
0
Let | {
"pile_set_name": "DM Mathematics"
} |
closest to n? (a) 12 (b) -0.5 (c) 5/4
b
Let l = -480628/31 + 15504. Which is the closest to -0.4? (a) 0.5 (b) l (c) -12 (d) -4
b
Let w = -195.9 + 984.5. Let h = w + -789. Let v = 2206/23 + -96. What is the nearest to v in h, 1/3, 4?
h
Let m = -1.03 + 42.63. Let t = 39 - m. Which is the nearest to -1? (a) 1 (b) t (c) -0.3
c
Let z(f) = -f**2 + 70*f + 376. Let i be z(75). Which is the closest to -2/3? (a) 4 (b) -4 (c) 0 (d) i
c
Let r be (-99)/(-1188)*(-2 - -4). What is the closest to -0.02 in 0, 19, 3, r?
0
Suppose -i + 3 = -t - 178, i + 3*t - 161 = 0. Let w = i + -173. Which is the closest to -1? (a) -3 (b) w (c) -2
c
Suppose 5*m - 21 = 2*m - 0. Let r be 70/(-25) + (-1)/5. Let t = -3.98 - 0.02. Which is the nearest to -1? (a) t (b) r (c) m
b
Let q(u) = -u**3 - 42*u**2 + 90*u + 85. Let a be q(-44). What is the closest to 6 in 0.08, a, -2?
0.08
Suppose 5*z + i + 17 = 0, 2 = z - 14*i + 16*i. What is the closest to 0.3 in -11, -1, z, 1.1?
1.1
Let p = -67 + 134. Let t = p - 71. Let q = -10 + 50. Which is the closest to 0.1? (a) -1/8 (b) q (c) t
a
Let j = 40/2949 + -176437/35388. Let h = 47/9 + j. Let d = 0.1 - 1.1. Which is the closest to d? (a) 9 (b) -2/5 (c) h
b
Let v = 7 + -5. Let o = -0.1173 + 87.7173. Let z = o + -88.1. What is the closest to -1 in z, 3, v?
z
Let h be (-107)/(-8) - 8 - 5. Which is the nearest to 0? (a) -0.4 (b) -10 (c) -0.24 (d) h
c
Suppose -402 = -5*g + 5*x - 407, -5*g - 4 = -4*x. Which is the closest to g? (a) -272 (b) 1/5 (c) 4/9
b
Let i be (8/132)/(5/10*8/6). What is the closest to i in -21, 0.4, -2, -0.4?
0.4
Let n = 3 + -2.9. Let s be (22/8)/1 - 3. Let p be ((-128)/48)/(-2) + 5/3. Which is the closest to n? (a) p (b) s (c) -4
b
Let j = 184.9 - 90.2. Let k = j + -95. Let n be ((-1)/(-1))/((-2)/6). What is the nearest to 4 in k, -5/2, n?
k
Let g = -12.95401 + -0.04599. Which is the closest to -37? (a) -0.5 (b) g (c) 4
b
Let w = 1197 - 637. Let t = w + -560. Which is the closest to t? (a) -2/11 (b) 3/5 (c) 9
a
Let m = 68 + -339/5. Let f = -1.09781 + -0.00219. Which is the closest to 0.03? (a) 3/7 (b) f (c) 0 (d) m
c
Let l be (-3)/48*(4 - 2). Let m = -1074/187 + 25/17. Let r = m + 163/33. Which is the nearest to 2? (a) r (b) l (c) 0.06
a
Let o = 331 - 323. What is the nearest to 1 in o, 0.6, 2/9, -0.5?
0.6
Let b = -205 - -202.26. Let d = 0.46 - b. Let o = d - 2.8. What is the closest to -1 in o, -0.1, -3?
-0.1
Let y = 43 - 257/6. Let z = 263.93 + -265. Let s = z + 1.37. Which is the nearest to y? (a) s (b) 3/8 (c) 1
a
Suppose 682 - 738 = 16*p + 12*p. What is the closest to -0.1 in -14, p, 0.3, 11?
0.3
Suppose -147*w + 144*w = -54. Suppose -15 = -w*d + 21*d. What is the closest to 4 in d, -4, 4?
4
Let i = 92.39 - -4.11. Let w = i + -96. Let n(c) = c**2 + 6*c. Let t be n(-6). What is the nearest to -0.1 in t, w, -3/11?
t
Let k = 0 + 3. Let n = 17.743 - 0.243. Let i = -20.5 + n. What is the nearest to i in k, 2, 0.2?
0.2
Let u = 1.6 - 1.4. Suppose 101*g - 100 = 81*g. Which is the closest to -1/2? (a) u (b) 1 (c) -17 (d) g
a
Suppose 7 + 4 = -i. Let q(j) = j**3 + 12*j**2 + 10*j - 13. Let a be q(i). What is the closest to 1 in -0.1, a, 37?
-0.1
Let n = 91.7 - 99.5. Which is the closest to -0.7? (a) n (b) -0.5 (c) 3
b
Let x = 0.89 - 0.59. Let a = -3 + 7.1. Let l = 3.8 - a. What is the nearest to x in 0, 0.4, l?
0.4
Let k = -412.55 + 418.55. Which is the nearest to k? (a) -1 (b) -2 (c) 4
c
Let s = 29040 + -29018. What is the closest to -3/7 in -1, 1/4, s?
-1
Let i = 0.1 - 0.3. Let h be 2/(247/(-19) + 21/(-7)). Which is the nearest to i? (a) h (b) -0.09 (c) 3
a
Let k be (-24)/(-108) - 312860/495. Let j = k + 632. What is the nearest to 2/5 in 1/5, -5, j, 1/7?
1/5
Let q = 0.28 + 0.92. Let y = q - 1.1. Let k = 294 + -2644/9. Which is the closest to k? (a) 0 (b) y (c) -0.2
b
Let r = -53 + 48. Let c = -446.6 - -447. What is the nearest to -0.2 in r, c, 0.2?
0.2
Let p be 4/(-13 + 549/45). Which is the closest to -8? (a) 1 (b) p (c) -2 (d) -0.4
b
Let m = 0 - 3. Let v(u) = 377*u + 4902. Let o be v(-13). Which is the closest to 1/2? (a) o (b) m (c) 0.3
c
Let j = 110 - 109. Let u be ((-228)/370)/(-5 - 295/(-50)). Let n = u - -2/111. What is the nearest to -2 in n, -3, j?
-3
Let w = -349.0729 - -0.0729. Let a = w - -349.5. What is the nearest to 23 in -4, a, -3?
a
Let w = 50/141 - 1/47. What is the nearest to 0 in w, -1/5, 7?
-1/5
Suppose 0 = g + 6 - 26. Suppose -g*m + 15*m + 10 = 0. Let r = -5.08 + 0.08. Which is the closest to -1? (a) m (b) r (c) -2/43
c
Suppose 5*t + 2 = -2*z, -9*t + 2*z + 4 = -13*t. Which is the nearest to 28? (a) 5 (b) -3 (c) t (d) 0.3
a
Let y = -87884 + 87894. Let z = -0.3 - -0.4. Which is the nearest to z? (a) 0.4 (b) 5 (c) y (d) -2/11
d
Let c be (-315)/70*2/3. What is the closest to 0.007 in c, 5, 9, 3?
3
Let d = -0.061 - -69.061. Let v = 69.2 - d. What is the nearest to -0.2 in -0.1, v, 2/11?
-0.1
Let n = 0.56 - 0.5. Let h = -0.01 - n. Let t = 95/22 - 131/66. Which is the closest to t? (a) h (b) 0.3 (c) -2/13
b
Let w = -168260.3 + 168259. Let a = -0.3 - -0.7. What is the nearest to -0.3 in a, w, 0.2?
0.2
Let y = 7231 - 7234. Which is the nearest to 1/4? (a) y (b) -0.04 (c) 4 (d) -13
b
Let k(u) = -u**2 - 6*u - 8. Let s be k(-7). Let f be (-3*(-2)/(-30))/(9/s). Let v = -0.07 + -0.03. Which is the nearest to v? (a) f (b) -9 (c) -1/5
c
Let s(f) = -f - 12. Let l be s(-8). Let r be (1 - 2) + -5 - (-460)/80. Which is the nearest to 0? (a) l (b) -3 (c) -2/29 (d) r
c
Let s = 0 - -0.1. Let y = 134967 - 404902/3. Which is the closest to s? (a) 2 (b) 32 (c) -0.1 (d) y
c
Let r = -16654 + 116575/7. Which is the closest to -2.2? (a) -0.3 (b) -0.11 (c) 2 (d) r
d
Let a = 0.5 + -0.499. Let s be (-10)/24*(-249)/(-830). What is the closest to a in -2/11, s, 0.3?
s
Let g = 0.34 + -0.04. Let t = -1172506/5 + 234501. What is the closest to 0.1 in 4, g, t, -0.06?
-0.06
Let d = 0.69 - 566.69. Let k = d + 582. What is the closest to -4 in -4, 4, k?
-4
Suppose -x + l = -2*l + 111, 4*l - 222 = 2*x. Let i = x - -125. Suppose 5*j - 2*j + 4*r + i = 0, -8 = 4*r. Which is the closest to j? (a) 1/11 (b) 3 (c) 1
a
Suppose 3*u + 2 + 16 = -2*t, 5*t + 5*u + 40 = 0. Let v be 9/(4/56 + t/(-14)). Let m be 9/v - 11/2. Which is the closest to -2? (a) 0 (b) m (c) -0.5
c
Let a = 34/27 + -700/513. Let q = -0.187 + 1.187. What is the nearest to 0 in 0, a, q?
0
Let m = -1.4 + 0.9. Let f(i) = i**2 + i - 7. Let w be f(3). Suppose -5 = -w*g + 5*h, 3*g + 2*h + 5 = 3*h. Which is the nearest to 1? (a) g (b) -0.4 (c) m
b
Let y = 4.57 - 7.57. Let z = -0.03 - 0.17. Let i = 0.8 - z. What is the closest to i in 8, 0, y?
0
Let u(w) = 11*w**2 + 13 - 29*w + 72*w - 60. Let n(i) = -5*i**2 - 21*i + 24. Let q(r) = -13*n(r) - 6*u(r). Let o be q(13). What is the nearest to 1 in -5, o, 0?
0
Let t = 1 - 2. Let s(i) = i**2 + i. Let p(m) = -3*m**2 - 20*m - 31. Let d(q) = -p(q) - s(q). Let a be d(-7). What is the nearest to t in 2/5, a, -3?
2/5
Let o = -12589 + 13188.3. Let n = o - 599. What is the closest to 7 in 5, n, -3?
5
Suppose -3 = -6*t + 4*t - n, 2*n = -3*t + 7. Let s be (t/(-33))/((-76)/(-336)). Let j = -6/19 + s. Which is the nearest to -8? (a) 0.3 (b) -2/17 (c) j
c
Let p = 2.57 + -2.58. What is the closest to -2 in p, 0.2, 1/4, 0.5?
p
Let v = 223 - 223.2. Let d = 6.5 - -3.5. Let w = -9.9 + d. Which is the closest to -0.1? (a) w (b) -2.3 (c) v
c
Suppose 142 = 376*r - 234*r. Suppose -2 = -3*k - 4*s, 0 = -2*k + 4*s - 9 - 3. Let u be 2 + (k - (-8)/(-6)). What is the nearest to 0.06 in 2, r, u?
r
Let g be -3*(-1)/7*504/792. Which is the nearest to -1/2? (a) 1 (b) g (c) 89
b
Let s = -21145 - -21144.91. Which is the closest to 40? (a) 0 (b) s (c) -1/6
a
Let k be (115/(-46)*6/(-55))/(6/(-4)). Let x = -6.4 + 3.6. Let j = x + -0.2. What is the nearest to -1/3 in j, k, -2/13?
k
Let c = 2090 - 2089. What is the closest to 19 in -0.11, c, -1, -3?
c
Let n = -136 - -197. Let x = -61 + n. Let t be 3/((-6)/(-5)) + -2. Which is the nearest to t? (a) -5 (b) -3 (c) x
c
Suppose -10*l + 42 = -8*l. Let q be 28/l*(10/8 - -1). Let j = -583/4 + 146. What is the closest to j in q, 5, -5?
q
Let x = -209252 + 47081804/225. Let k = x - 6/25. Let z = -354/5 - -71. What is the | {
"pile_set_name": "DM Mathematics"
} |
4 dps.
0.0018
Let d = -482 - -481.571. Let p = d + 0.284. Round p to 1 dp.
-0.1
Let f = -246 + 245.481. Let j = f - -0.52315. Round j to 4 decimal places.
0.0042
Let l = -259.79869 + 34.80139. Let n = l - -225. What is n rounded to 4 dps?
0.0027
Let u = -13633 - -13632.994059. What is u rounded to four dps?
-0.0059
Suppose 460848 = 21*x + 11466 - 98718. What is x rounded to the nearest ten thousand?
30000
Let b = -16207 + 16207.01723. What is b rounded to two decimal places?
0.02
Suppose 17*c + 2814504 = -7773051 + 3361365. What is c rounded to the nearest ten thousand?
-430000
Let d = -14.47 + 26.07. What is d rounded to 0 decimal places?
12
Let n = 25878902.000662 + -25879420. Let l = 915 + -397. Let c = n + l. What is c rounded to four decimal places?
0.0007
Let h = -91.8 - -55. Let s = h - -3.8. Let g = s - -33.000024. What is g rounded to 5 dps?
0.00002
Let t(g) = -12736*g**2 - 232*g - 1396. Let l be t(-6). What is l rounded to the nearest ten thousand?
-460000
Let u = 2161.98 + -1903. Let q = -265 + u. What is q rounded to 1 dp?
-6
Suppose -r = 5*c + 589495, -3*c - 305944 = 2*r + 47746. What is c rounded to the nearest 10000?
-120000
Let q = -12.7 - 117. Round q to the nearest ten.
-130
Let b = 42973.3208 + -43165.32079516. Let y = -192 - b. Round y to 7 dps.
-0.0000048
Let h = 1781.1257 + -1781. Let b = h - 0.126347. What is b rounded to 4 decimal places?
-0.0006
Let t = -46194202776.01484 + 47991328677.0148267. Let u = -1797126151 + t. Let w = 250 + u. What is w rounded to 6 decimal places?
-0.000013
Let t be (-5)/(-25) - (-1617174)/5. Suppose 3288393 = 11*k - 2118822. Suppose -k = -5*l + t. Round l to the nearest 10000.
160000
Let h = -38078.93 + 37896. Let z = -157 - -339. Let c = h + z. What is c rounded to one dp?
-0.9
Let i = -177 - -173.08. Let b = 3.6 + i. Let t = 0.3199987 + b. What is t rounded to six dps?
-0.000001
Let l = 183 + -117. Let p = l - 66.652. Round p to 2 dps.
-0.65
Let d(q) = 5*q**2 + 37*q - 3978000. Let n be d(0). Round n to the nearest 1000000.
-4000000
Let n = -103.63788331048 + -0.36211753352. Let o = -104 - n. Round o to 7 dps.
0.0000008
Suppose 3 = n + 4*r + 5, 2*n - 2*r = -4. Let b(a) = -28837*a - 6. Let d be b(n). Suppose 3*j = d + 95332. Round j to the nearest 10000.
50000
Let y = 18096.4 + -16599. Round y to the nearest 1000.
1000
Let g = -7742.2 - -14588.5. Round g to the nearest 1000.
7000
Let i = -0.34 + -0.63. Let b = 22.93 - i. Let a = 23.90109 - b. What is a rounded to four dps?
0.0011
Let i(a) = -82052*a + 20. Let d be i(-5). Suppose -2*u = -8*u + d. Suppose v + 17955 - 120550 = -3*z, 2*z - u = -4*v. Round z to the nearest 1000.
34000
Suppose 22*o + 578762 = 3025162. Round o to the nearest ten thousand.
110000
Let t = -10.073 + 336.723. Round t to zero dps.
327
Let d = -3907 + 3906.9983245. Round d to 5 dps.
-0.00168
Let l = -38877 + 36333.3. What is l rounded to the nearest ten?
-2540
Let q(k) = 1092*k**3 - 10*k**2 + 2*k. Let r be q(3). What is r rounded to the nearest 1000?
29000
Let d = 43.1136 + -43.1. Let t = 0.0124 - d. Round t to three decimal places.
-0.001
Let a = 3821 + -1920. Let m = a - 3181. What is m rounded to the nearest 1000?
-1000
Let y(z) = -501875*z**2. Let n(v) = -5*v - 31. Let i be n(-7). Let s be y(i). What is s rounded to the nearest 100000?
-8000000
Let w = 39620.99931696 + -39621. What is w rounded to six dps?
-0.000683
Let g = 7.56569673 + -0.31600833. Let k = 7.25 - g. What is k rounded to 5 decimal places?
0.00031
Let a = -33.5 + 24. Let p = 141336.8120011 - 141327.312. Let b = p + a. Round b to six dps.
0.000001
Let y = -5.96 - -1.05. Let u = y + -187.69. Round u to the nearest 10.
-190
Let o = 2.571432 - 2.575. Round o to four decimal places.
-0.0036
Let c = -0.0044 + 0.0344. Let y = -398.47 - c. What is y rounded to the nearest 10?
-400
Let z = -9452 + 9452.004468. Round z to 4 decimal places.
0.0045
Let r = -70144.3 + 73467. Round r to the nearest one hundred.
3300
Suppose 21 - 15 = m. Suppose m*n + 12*n = -30420. Round n to the nearest 1000.
-2000
Let k(o) = -8*o**2 + 318*o + 356. Let b be k(-58). Round b to the nearest one hundred thousand.
0
Suppose 3 = 3*d - 27. Suppose d*k - 9 - 11 = 0. Suppose 0 = -k*y + y - 5850000. What is y rounded to the nearest one million?
-6000000
Let z = 6239.0000021195 - 6239. Round z to 7 decimal places.
0.0000021
Suppose -21*b + 23*b - 14*b + 4281600 = 0. What is b rounded to the nearest 100000?
400000
Let s = 2999 + -2998.943. Let y = -6112 + 6111.94307. Let u = y + s. Round u to four decimal places.
0.0001
Let g = -0.27235771 + -0.15064528. Let w = -0.423 - g. What is w rounded to seven decimal places?
0.000003
Let u be (-4)/(-3) + 24/36 + 97559998*1. What is u rounded to the nearest 1000000?
98000000
Let o = 29 + -30.16. Let x = o - -100.16. Let b = 103.7 - x. What is b rounded to 0 decimal places?
5
Let j = 186798 + 66965. Let d = j - 253756.99998. Let y = 6 - d. Round y to 5 decimal places.
-0.00002
Let p = -4432.99966248 - -4433. Round p to 5 decimal places.
0.00034
Let w(c) = -4489*c - 25. Let s(j) = -1496*j - 8. Let f(p) = -17*s(p) + 6*w(p). Let a be f(3). Round a to the nearest one thousand.
-5000
Suppose 28*c = 25*c + 173811. Let f = c + -19137. What is f rounded to the nearest ten thousand?
40000
Suppose 2*u + 3*y + 1277175 + 3312611 = 0, 0 = -u + 4*y - 2294882. Let i = 18064890 + u. What is i rounded to the nearest 1000000?
16000000
Let o = 367.0423793176 + -0.0422203176. Let i = 194 + -561. Let r = o + i. Round r to five dps.
0.00016
Let l = 2.02 + -67.62. Let n = l + 66. What is n rounded to 2 dps?
0.4
Suppose -51 - 41 = 4*l. Let f = l + -100. Let v = -194 - f. Round v to the nearest 10.
-70
Let b = -193 + 61. Let q = 131.99881 + b. What is q rounded to 3 decimal places?
-0.001
Let b(n) = 696*n**2 + 71*n - 92. Let u be b(7). What is u rounded to the nearest 1000?
35000
Let c = 7186339 + -4751539. What is c rounded to the nearest ten thousand?
2430000
Let j = -49.507624 - -49.52. Round j to 4 decimal places.
0.0124
Suppose 20 = -3*a + 7*a. Let b be -2 - (-18)/a - 4/(-10). Suppose b*i - 3087 = h - 12781, 0 = -5*h - i + 48503. What is h rounded to the nearest 1000?
10000
Let l = 0.0853 + -0.103. Let k = l + 0.0715. Round k to two dps.
0.05
Let t = -263019 + 263317.201. Let p = t + -298. What is p rounded to two decimal places?
0.2
Let q = 204.69 - 113.67. Round q to the nearest 10.
90
Let h = -58 - 23. Let y = -75.36 - h. What is y rounded to the nearest integer?
6
Let l be -2 - 0 - (41948/(-3) + 16/24). Round l to the nearest 1000.
14000
Let m = 360.732 - 2.932. Let t = m + -356.259. Round t to 1 decimal place.
1.5
Let n = 27978.966 + -27990. What is n rounded to 1 dp?
-11
Let w(k) = 29 - 17*k - 8*k - 7*k + 16*k - 5*k. Let v(l) = 6*l**2 - 3*l + 1. Let d be v(2). Let n be w(d). What is n rounded to the nearest one hundred?
-400
Let o = 8706 + -8705.99978642. Round o to 6 dps.
0.000214
Let r = -994361.7 - -1239691. Let o = r + -245400.29973. Let s = o + 71. Round s to 4 decimal places.
0.0003
Let c = -312 + 145. Let k = c + 167.073. Let g = k + -0.07327. Round g to four decimal places.
-0.0003
Let x be 4/26 + (400/104 - 0). Suppose -x*q - 173790 + 4461790 = 0. Round q to the nearest 100000.
1100000
Let u = -0.0029568174 + 0.00296. Round u to seven decimal places.
0.0000032
Let p = 28 + -23. Suppose -5955 = -5*c - p*v, -2*c - 3*v + 2394 = -4*v. Suppose -3*m + d + 0*d - c = 0, -20 = 4*d. What is m rounded to the nearest 100?
-400
Let j = 476.91706 + -500.815. Let w = 135.1 - 159. Let x = j - w. What is x rounded to 4 decimal places?
0.0021
Let m = 281.27 + -281.348974. Round m to three dps.
-0.079
Let i = 28.425 + 443.091. Let h = -479.6 + i. Let b = 7.8 + h. Round b to 1 decimal place.
-0.3
Let g = 54.69428 - 54.72. What is g rounded to 4 dps?
-0.0257
Let r = 287.9 - -32.1. Let l = r - 320.0000928. What is l rounded to 5 decimal places?
-0.00009
Let f be (-20)/((-20)/(9 - 4)) - -99243. Round f to the nearest one thousand.
99000
Let w = 17050.4442 - 17049. Round w to two dps.
1.44
Let s = -4719.2681 + 4719. Let b = 0.281 + s. Round b to three dps.
0.013
Let l = 1518.9998101 + -1519. What is l rounded to five dps?
-0.00019
Let w = -3.906 + -38.169. Let p = w - -44. Let i = p + -2. What is i rounded to 2 decimal places? | {
"pile_set_name": "DM Mathematics"
} |
2*a + 8 = -f. Let i(o) = -o**3 + 4*o**2 - 3*o + 3. Let j be i(3). Put f, 5, j in ascending order.
j, f, 5
Suppose 3 = -3*y - 2*x + 1, -y - 4*x = 4. Sort -4, y, -1 in increasing order.
-4, -1, y
Let x = 6.973 + 0.027. Let p = 0.3 + -0.8. Sort p, -3, x.
-3, p, x
Let v = -31 - -157/5. Put 4, v, -1/5 in descending order.
4, v, -1/5
Suppose 0 = 2*u - 2*w - 0 - 8, 0 = -5*u - w + 20. Suppose -4*k + u = -p + 3*p, 5*k = -2*p + 7. Suppose y - 4 = z, 0*z - 2 = 3*y + 4*z. Sort 0, k, y.
0, y, k
Let u = 10 - -32. Let v = u + -41.67. Let j = v - 0.03. Put j, 0.4, -5 in descending order.
0.4, j, -5
Let n be 4/(-6) - 2/(-6). Let r = -3 - -6. Let k = 0.7 + -1.7. Put r, n, k in decreasing order.
r, n, k
Let g = 2 - -3. Put 1, -1, g in ascending order.
-1, 1, g
Let y = -121 + 607/5. Let x = 2.1 - 0.1. Put -3, y, x in descending order.
x, y, -3
Suppose 0*w - 14 = -3*w + 5*r, 3*r = -3. Let u be 3*w/(-3)*1. Sort -1, u, 3 in descending order.
3, -1, u
Let a be -2 + 0/(-1) - 3. Put -2, -3, a in increasing order.
a, -3, -2
Let c(v) = -v**3 + 10*v**2 - 2. Let g be c(10). Put -4, g, 21 in increasing order.
-4, g, 21
Suppose -14 = 2*v + 3*d, 5*v + 5*d + 28 = d. Put 5, 2, v, -1 in decreasing order.
5, 2, -1, v
Let i(a) = 2*a + 1. Let d be i(0). Sort 4, d, -4, 6.
-4, d, 4, 6
Suppose -3*s - 2*a + 16 = 0, -4*s + 2*a - 4*a + 18 = 0. Let b = 1 + s. Put b, 1, -3 in increasing order.
-3, 1, b
Let d = 0 - -4. Let s = -6 + d. Put 3/2, 2/5, s in ascending order.
s, 2/5, 3/2
Suppose -3*o + 10 + 2 = 0. Let q = 25 + -20. Sort q, o, -1 in descending order.
q, o, -1
Let x = 261057/109 + -2395. Let l = x + 97/654. Sort 1/7, l, 0 in descending order.
l, 1/7, 0
Let z = -42 + 203/5. Put -3, z, 0.4 in decreasing order.
0.4, z, -3
Let s be -6*(-1)/(-6)*21/56. Put s, -0.4, 1/4, 3 in descending order.
3, 1/4, s, -0.4
Suppose p - 5*p - 3*d + 16 = 0, d = 2*p - 18. Let f = -8 + p. Suppose -30 = 5*x + 3*y, 12 = 3*x - 2*x - 3*y. Sort x, f, 2 in descending order.
2, f, x
Let m(k) = -k**2 + 9*k - 3. Let o be m(6). Let r = o + -8. Let f = r + -2. Sort 2, f, 1 in descending order.
f, 2, 1
Let n be 5 + -2 + 2 - 2. Suppose -3*o + 17 = 2. Let g = 2 - o. Sort -5, n, g.
-5, g, n
Let r = 6.9 - -0.1. Let m = 4 - r. Let k = m + -2. Put 0.5, -0.3, k in increasing order.
k, -0.3, 0.5
Let d be (-2)/(-6) - (-8)/12. Suppose -4*n + 15 = -n. Sort n, d, -5 in decreasing order.
n, d, -5
Let z = -0.04 - -5.04. Let a = -0.43 - -0.03. Sort z, a, 2 in decreasing order.
z, 2, a
Let z = 7 - 4. Suppose -3*b + 21 = -3*j - 2*b, -29 = 4*j - b. Let d = -8 - j. Sort z, 4, d in increasing order.
d, z, 4
Suppose -4*n + 10 = 2*l, 3*l + 3*n = -0*l + 6. Let h = -11 + 25. Let j = 9 - h. Put j, l, 0 in decreasing order.
0, l, j
Suppose -3*r - 5*l = -3*l - 14, -4*r + 28 = -2*l. Suppose 5*s - 14 = -2*i, 5*s - r = -2*i + 4*i. Sort i, 0, -4 in descending order.
i, 0, -4
Suppose 2*v = 3*v - 3. Sort v, 0, -1 in ascending order.
-1, 0, v
Let h = 1.38 - 1.5. Let s = 3.88 - h. Let u(p) = -p**2 - 2*p - 3. Let v be u(-2). Put v, s, 0 in decreasing order.
s, 0, v
Let w(y) = -y**2 - 6*y - 3. Let l be w(-5). Let u = 5 - l. Suppose -4*d - s - 4 = u*s, 4*d - 4 = -2*s. Sort d, -4, -2.
-4, -2, d
Let p(t) = t**3 + 8*t**2 + 2. Let k be p(-8). Suppose z + 20 = -3*z - 3*q, 5*z + 14 = -q. Let f = k - z. Put -3, f, -4 in descending order.
f, -3, -4
Let i(v) = 2*v + 4. Let r be i(-5). Let w(k) be the third derivative of -k**4/12 + 11*k**3/3 + 6*k**2. Let l be w(11). Sort r, l, 4.
r, l, 4
Let h = -0.08 + -4.92. Let n = -31 - -24. Put -0.5, h, n in decreasing order.
-0.5, h, n
Suppose 0 = 2*s - 3*s + 1. Suppose 0*c + s = c. Suppose 0*g - 3*g + c = -2*y, 5*g + 2*y + 25 = 0. Sort g, 4, 0.
g, 0, 4
Suppose p + 0 + 1 = 0. Put p, 5, 12 in increasing order.
p, 5, 12
Let b be (-1)/6 + (-5)/(-30). Let c be (2 - 4)/(4/(-6)). Suppose -r = -3, 1 = -2*t + 2*r - 1. Put t, c, b in decreasing order.
c, t, b
Let h be (-2)/4 - 1/(-2). Suppose h - 4 = -j. Put 0, j, -5 in increasing order.
-5, 0, j
Let f(g) = g**2 + 3*g - 5. Let y be f(-5). Let u = 105 - 109. Sort y, u, 1 in decreasing order.
y, 1, u
Let u = 4.9 - 1.9. Put 2, u, -2 in descending order.
u, 2, -2
Suppose 0 = -k + 1 + 18. Let m be -1 - ((-59)/k + 2). Let q = 0.036 + 0.164. Sort 1/2, q, m.
m, q, 1/2
Suppose 2*p + 1 - 7 = 0. Let b be (-1 + 3 - 9) + p. Put 0, b, 2 in ascending order.
b, 0, 2
Suppose 5 = -d + 1. Let m be 8/d - -1*7. Suppose -m = 4*j + 11. Put 2, 3, j in ascending order.
j, 2, 3
Let w = 3 - -2. Let z(k) = k**2 + 2*k - 4. Let l be z(-4). Suppose l*g + 6 + 10 = 0. Sort 3, w, g in ascending order.
g, 3, w
Let j(o) = o**2 - 7*o - 3. Let q be j(7). Put q, 6, -2, 5 in increasing order.
q, -2, 5, 6
Let p = 0.16 - 1.06. Let u = -3.1 + p. Sort 0.2, u, -5.
-5, u, 0.2
Let r be 3 + -2 - (-22)/2. Suppose -r = 5*p - 32. Suppose -3*u - 2 = -p*u. Sort u, -3, 2/7 in increasing order.
-3, 2/7, u
Let z = -2.99 - 0.01. Let k = z - 1. Let w = 1.2 + -1.4. Put k, 2/9, w in decreasing order.
2/9, w, k
Let c(v) = -2*v + 16. Let g be c(6). Sort g, 0, 2 in increasing order.
0, 2, g
Let n = -10 - -8.9. Let g = -8.9 + n. Sort g, -2/13, -5 in decreasing order.
-2/13, -5, g
Let a be (-1 - -2)/(1/(-2)). Let j be 2 + -2 + 4 + a. Suppose j*l - 6 = -l. Sort -3, 3, l.
-3, l, 3
Let z be ((-3)/(-2))/((-9)/12). Sort -4, 4, z.
-4, z, 4
Let d = -0.37 + -0.03. Put d, -0.3, 2/23 in descending order.
2/23, -0.3, d
Suppose 2*x + g + 1 = -0*g, 4*g = -4*x - 4. Put x, 1, -5 in ascending order.
-5, x, 1
Suppose -2*w - 13 = 3*t, 5*w - 2*t + 24 = -t. Let s be w/13*10/25. Let o be 2/20*(-5)/(-2). Put s, o, -1/4 in increasing order.
-1/4, s, o
Suppose -3*l + 4*l + o - 3 = 0, -5*o + 5 = -5*l. Suppose -g = -0 - l. Sort 3, -4, g in increasing order.
-4, g, 3
Let z be 9/12*8/12. Sort -4, z, 2 in descending order.
2, z, -4
Let f(z) = -z**3 + 16*z**2 + 16*z + 20. Let j be f(17). Sort -3, j, 1 in decreasing order.
j, 1, -3
Let a = -1.051 + 0.051. Let k = 2 - 2. Sort -3, a, k in descending order.
k, a, -3
Suppose x - 1 = 1. Let t be -21*x*(-3)/18. Let k = t + -11. Sort 4, 2, k in ascending order.
k, 2, 4
Suppose -25 = -5*j, -3*n = 2*n + 5*j - 30. Suppose 7 = 2*g - n. Suppose -2*w - g = 2. Sort 5, w, 0.
w, 0, 5
Let g(w) = w**3 + 4*w**2 + 7*w + 6. Let o be g(-4). Let p be 4/o + 265/(-55). Suppose 0 = -4*f + 4. Sort p, -1, f in descending order.
f, -1, p
Suppose 0 = -6*z + z - i + 15, 0 = 5*z - 2*i. Sort 0, z, -1, -4 in descending order.
z, 0, -1, -4
Suppose 2*n - 5*r = -2, 0 = -2*n + 4*n - 4*r + 2. Let m(u) = 0*u - 2*u + 1 + u. Let o be m(-4). Sort -5, o, n in descending order.
o, n, -5
Let f(k) = -k + 3*k - 3 - 1. Let l be f(4). Let v = -18 - -23. Sort l, v, -4 in descending order.
v, l, -4
Let c = -1.4 + 1. Let q = -19 - 9. Let f be 2/5 - q/(-245). Sort f, 1, c.
c, f, 1
Let w be (-3)/(-5) - (-8)/(-20). Let l = 1 + -2. Put w, l, -3/8 in increasing order.
l, -3/8, w
Let s be 6/4 - (14 - 4)/5. Sort -5, 19, s, 3 in descending order.
19, 3, s, -5
Let o be -1 - -1 - (-10 + 2). Let w = 5 - o. Let q(y) = y**2 + y - 56. Let v be q(7). Sort v, 1, w in decreasing order.
1, v, w
Let q be (-18)/9*(-10)/4. Suppose -b - q*t - 3 = 10, -2 = 5*b + 4*t. Put b, -4, 0 in increasing order.
-4, 0, b
Let a be ((-1 - -6) + 0)/1. Let q be (-6)/(-4)*(-1 + -27). Let o be (-4)/(-6) - (-4)/q. Put o, 1, a in ascending order.
o, 1, a
Let l = 0.504 + -0.004. Let q = -2 + 3. Sort -5, l, q in ascending order.
-5, l, q
Suppose 0 = -5*z, 0 = 5*j + 2*z - 2 - 13. Let x be (9 - (-57)/(-6)) + (-2)/4. Sort j, 0, x in descending order.
j, 0, x
Let j = -0.2 + 0.18. Let u = 2.02 + j. Let n = 0 - u. Sort -1/2, n, 5 in increasing order.
n, -1/2, 5
Suppose v = 5*v. Sort v, 8, 1 in descending order.
8, 1, v
Suppose -3*z = -0*z + d + 18, -4*z - 25 = d. Put z, -4, 2/13 in ascending order.
z, -4, 2/13
Let o = -142/35 - -4. Put 4/5, 0.5, o in ascending order.
o, 0.5, 4/5
Let o = 4.6 - 0.6. Let j = -0.06 + 0.56. Put o, 0.1, j in increasing order.
0.1, j, o
Let t(m) = 5*m**2 + 10*m + 2. Let j be t(-2). Sort 13, -1, j in descending order.
13, j, -1
Let q(g) = g**2 + 4*g. Let d be q(-3). Let j = d - -1. Let x = -178.7 - -179. Sort -4, x, j in decreasing order.
x, j, -4
Let u = -0.412 + 0.002. Let k = 0.11 + u. Let b = -0.1 - 0.9. Sort b, 1, k in decreasing order.
1, k, b
Suppose 3*s - 5 = 8*s. Sort 5, 3, s in ascending o | {
"pile_set_name": "DM Mathematics"
} |
t w = 1/2 - 5/6. Which is smaller: g or w?
g
Let v be 219/5 + 1/5. Let z be 6/(1 - v/(-12)). Which is greater: 2 or z?
2
Let h = -49351/10388 - -2/2597. Do -4 and h have different values?
True
Let m(l) = -l - 5. Let z be m(-4). Let n = 11.07 + -11. Let a = n - 1.07. Is z at least a?
True
Let d be 1/2*-2*-29. Let s = d - 50. Let m be (7/s)/(2/6). Which is smaller: 1/3 or m?
m
Suppose 3*y = -4*t, -5 = 6*t - 9*t - y. Suppose 2 + 1 = m. Is m at least as big as t?
True
Let k(i) = -i**2 + 8*i - 3. Let d be k(5). Let b be (d*4/56)/2. Let m = -1 + 0. Which is smaller: m or b?
m
Let q = 0 + -0.1. Let s = 7 - 18. Is s greater than q?
False
Let f(i) = -i**3 + i**2 + i + 2. Let n be f(2). Let g be (-6)/10 + 1 + n. Is 1 smaller than g?
False
Suppose 6*a - 9 = 3*a. Let y(s) = -3*s**3 + 5*s**3 - s**a + 6*s**2 - 6*s + 8. Let z be y(-7). Are -2/9 and z nonequal?
True
Let n = 8 + -14. Are -6 and n non-equal?
False
Let m = 0.4 - 0. Let h = m - 0.4. Let q = 7 + -5. Which is smaller: q or h?
h
Let s(u) = -u**3 - 8*u**2 - 9*u - 16. Let b be s(-7). Let p(j) be the first derivative of -j**3/3 - j**2 - 1. Let k be p(b). Is k bigger than -6/13?
True
Let k = 0.097 + -7.097. Let b = -3/11 + 31/33. Do b and k have the same value?
False
Suppose 0 = -6*g + 2*g - 2*f + 226, 3*f - 283 = -5*g. Is g < 56?
False
Suppose -3*s + 2*s = -4*d - 12, 2*s = 2*d. Suppose 3*n = -11 + 2. Let a be -3*-1*(n - -2). Is d at least a?
False
Let b(t) be the third derivative of -t**4/24 - 4*t**3/3 + t**2. Let l be b(-8). Which is smaller: l or -2/15?
-2/15
Let p = 0.18 + -0.38. Is -17 greater than or equal to p?
False
Let w = -1.47 + 1.5. Does -2/3 = w?
False
Suppose -6*a - 9 = -3. Let q be 15/17*(-262)/(-3). Let h = q - 77. Which is smaller: h or a?
a
Suppose 6 = -2*d - d. Let r be (-6)/(d/(-3) + 0). Let b = r + 9. Is 2/9 at least b?
True
Let x(o) = 2*o**2 - 2*o - 4. Let n be x(3). Suppose 4*s - 21 = -3*v, -n = -v - s - 1. Suppose v*g - 2*g = 0. Are g and 1 non-equal?
True
Suppose 3*v - 8*v = 10. Let m be v/(-4) - 1/6. Which is smaller: m or 2/9?
2/9
Let k = -3.031 - -0.031. Let j = 1.5 + -1. Which is smaller: j or k?
k
Let b be 9/(-3) - 25/(-9). Which is smaller: -1 or b?
-1
Let q(x) = x**2 - 7*x. Suppose 4*f - 50 = -0*l + 3*l, f - 16 = -l. Let z = f + -8. Let j be q(z). Is -6 smaller than j?
False
Let p be 2/24*135/18. Let r = 0 - -2. Is p at least r?
False
Let p = 7 - 2. Suppose 0 = -3*s + 3*a + 3, -4*s - 5 = p*a. Which is smaller: 1 or s?
s
Let w = -0.3 - -0.6. Let c = -0.7 + 0.8. Do c and w have different values?
True
Let a = -42 - -42. Which is greater: 14 or a?
14
Let d = 218 - 1530/7. Which is smaller: -1 or d?
-1
Let n be 10/(-55) + 62/(-22). Which is smaller: n or 1?
n
Suppose -2*v + 3*t - 8 = 0, -5*v - 2 = -3*t - 0. Which is greater: v or 21/8?
21/8
Let d = 3/2 + -17/10. Does d = 2?
False
Let c(r) = -5*r**2 + 2*r + 9. Let d(t) = t**2 - 1. Let w(s) = c(s) + 6*d(s). Let o be w(-3). Are 6 and o non-equal?
False
Suppose v = -w - 13, 2*v + 35 = -2*w - w. Let l be (5/(-30))/(10/w). Let c = l + 1/10. Is c < -1?
False
Let j(q) = -q**2 - 8. Let x be j(0). Let h(l) = l**2 + 8*l + 1. Let v be h(x). Is v greater than 0?
True
Let b = -7901/70 + 823/7. Let j = -11/2 + b. Is j less than or equal to -2?
False
Let y = -1 - 2. Let i = y - -2.5. Suppose -23 = -3*m + 5*v, 2*m + 3 - 17 = 3*v. Which is bigger: i or m?
m
Suppose 0 = -3*z + 4*y + 1, 5 = 4*z + 3*y + 37. Suppose -2*d + 3*d = -5. Is d bigger than z?
False
Suppose 0 = 6*p - p - 5. Which is smaller: p or 16/9?
p
Suppose -5*b = c - 648, 0*b - 3*c = -3*b + 378. Let j = b - 647/5. Let y = -2.8 - -3.1. Is j equal to y?
False
Let l = -2 + 6. Let f be (3/6)/(2/l). Let h = -379/5 - -76. Which is smaller: h or f?
h
Let w = 0 - 5. Let x = w + 5.1. Is 0.06 at most as big as x?
True
Let j(i) = 3*i**2 - 1. Let g be j(2). Suppose 2*z = -5*w + g, 4*z - 10 = -0*z + 2*w. Suppose -5*u + z = -2. Which is smaller: 2/5 or u?
2/5
Let u(w) = 15*w**2. Let s be u(1). Suppose 4*z - z = s. Are 4 and z equal?
False
Let u = -3 + 3. Which is smaller: 20 or u?
u
Suppose -2 = -4*w + 2*w. Is 3 != w?
True
Let k = -8 + 9. Let u(j) = -j**2 - 5*j + 2. Let v be u(-5). Let n be 9/(-4) + 0 + v. Is n < k?
True
Let u = -3 - -3. Let m = u + 3. Let l be 3*(-1 - (-5)/m). Is 2 greater than l?
False
Let b = -1 + 0.95. Let j = b + -0.15. Is -2/5 != j?
True
Let j be (-2)/3 - 52/12. Let u be j/2 - (1 - 3). Is 1 at least as big as u?
True
Let v = 44 + -43. Let b be (-2)/(-5)*5/(-7). Is v smaller than b?
False
Suppose -k = -2*k + 2. Let w = 3 + -1. Suppose r - 6 = -w*r. Is r not equal to k?
False
Let v = 6 + 1. Suppose -v*m = -6*m - 1. Do 4/11 and m have different values?
True
Let y = 0.083 - -0.017. Which is greater: y or -58?
y
Let l = -1.6 + 1.5. Which is bigger: l or -4/5?
l
Let a be (3 - (-18)/(-8))*2*2. Is a at least as big as 18/11?
True
Suppose z + z - 3*d - 1 = 0, -5*z = -d + 4. Let j be (1 - 0) + 0/z. Which is greater: 2/7 or j?
j
Let u = 0.28 + -0.3. Let a = -36 - -33.98. Let x = a - u. Which is bigger: x or 0.1?
0.1
Let l = -13.9 + -0.1. Which is smaller: -1 or l?
l
Let y = 10 - -1. Let f = y - 9. Let s be (1 - f)*(-2 + 3). Is 0 >= s?
True
Let n be 0 + 5 + -2 + 2. Suppose -n*l - 5*s + 3*s = -51, 4*l + 3*s = 45. Suppose -l - 3 = -4*h + 2*b, 4*b + 12 = -4*h. Is h at most as big as 2/13?
False
Suppose -12*p = -14*p + 8. Is 4 bigger than p?
False
Let p be (2/(-14))/((-3)/(-9)). Let w = 3 + -3. Which is bigger: p or w?
w
Let g(r) = -r**3 + 5*r**2 - 6*r + 1. Let j be g(5). Which is smaller: -28 or j?
j
Let x(y) = -y**2 - 4*y + 14. Let i be x(-6). Suppose i*n + 1 = 3. Which is smaller: 2/7 or n?
2/7
Suppose -4*x = -x + 2*n - 25, 3*x = 2*n + 17. Is x < 7?
False
Suppose -6*b - 14 + 80 = 0. Which is smaller: 8 or b?
8
Suppose 0 = 2*g + 23 + 7. Suppose -66*w - 620 = 304. Which is greater: w or g?
w
Suppose 4*y - 172 = -5*m - 31, 3*y + 3*m = 105. Which is smaller: y or -1?
-1
Let t = -0.2 - -0.2. Let i = 13 - -2. Let d be 0 + -2 - i/(-6). Is t < d?
True
Let k = 29 - -125. Suppose 5*n + 485 = -5*l, 4*n + 5*l + 239 = -k. Let z be 8/44 + n/22. Which is smaller: -3 or z?
z
Let o = -7 - -7.01. Let a = o - 0.01. Are a and 0 equal?
True
Suppose -2*g + 2 + 0 = 0. Let x be (-152)/434 + (-14)/(-49). Which is bigger: g or x?
g
Let c(t) = -t**3 - 4*t**2 - 3. Let a be c(-4). Let p be (a/6)/(6/(-8)). Is p not equal to 0?
True
Let i be (94/(-440))/(-1) - (-14)/(-56). Is 0 at most as big as i?
False
Let l(g) = -g**2 - 2*g + 1. Suppose -5*p - 4 - 11 = 0. Let d be l(p). Suppose -3*x - 11 = -4*v, 0*x + 2*x - 2*v = -6. Which is smaller: x or d?
d
Let f(c) = c**3 + 4*c**2 + 4*c + 4. Let y be f(-3). Let q = 0.1 + -2.1. Let b = q + 4. Is b less than y?
False
Let y be (6 - 10)*(-1 - 0). Let f be (0 - -6)*y/(-6). Let m(g) = g**3 - 4*g**2 + g + 2. Let b be m(3). Is f less than b?
False
Let x = 12.7 + -12. Let s = x - 0.9. Let n = 187/3 - 63. Is s greater than or equal to n?
True
Let b be 1*2/(2/(-9)). Let j = 10 + b. Are j and -1 equal?
False
Let j be -2 - (-1 + -2 + 1). Suppose j*a - 1 = a. Which is bigger: a or -2?
a
Let a = -5 - -7. Let c be a - (-18)/(-17)*2. Let s be (2/(-6))/(3/9). Which is smaller: s or c?
s
Let x = 15.2 + -1.2. Let t = 14.3 - x. Is 0 bigger than t?
False
Let s(w) = w**2 + 9*w + 3. Let i be s(-9). Let f be (-45)/(-6)*i/(-15). Is 2/7 at least f?
True
Let x be 1 + 2/(-2 + 3). Suppose 0 = x*d + 3 - 12. Let h be ((-4)/(-6))/(2/d). Which is smaller: 2/5 or h?
2/5
Suppose 5*l + 4 = 9*l. Is l < 1?
False
Suppose r - 25 = -4. Are 20 and r unequal?
True
Let z be (5 - (-318)/(-63))*2. Are z and -1 equal?
False
Let o be (5/3 - 1)*-9. Suppose x - 2*f - 7 = 0, 4 = -5*x + 4*f - 7*f. Let y be -1*x*8 + 1. Is o equal to y?
False
Let t = -818 + 5735/7. Which is smaller: t or 1?
1
Suppose 15 = 7*q - 2*q. Let k = 9 - q. Suppose -k = -c - 2*c. Which is greater: c or 5/3?
c
Let r = 9 - 8. Are -1/21 and r unequal?
True
Suppose -2*l - l - 3*k = 0, 0 = -2*l + 5*k + 35. Suppose -3*b + 16 = b + 4*z, z = -2*b + 7. Which is smaller: b or l?
b
Let j = -26 - -26. Let q = -3 + 4. Suppose 3*n - q = -4. Which is smaller: n or j?
n
Let k = 884/1661 - -2/151. Is k at least -0.07?
True
Let q be ((-1)/32)/((-5)/150) + -1. Are q and 2 equal?
False
Suppose 6*j - 105 + 21 = 0. Which is smaller: 15 or j?
j
Let z be 11 + 1*(-3 - -2). Is | {
"pile_set_name": "DM Mathematics"
} |
) - 2*r(c). Let u(o) = -o - 7. Let y be u(4). Is g(y) prime?
False
Let m = 95 + 326. Suppose -4*c + 343 + m = 0. Is c composite?
False
Let z = -30 + 213. Let r = z - 130. Is r a composite number?
False
Let o(l) be the first derivative of l**3/3 + 4*l**2 + l - 1. Let m = -13 - -4. Is o(m) a prime number?
False
Suppose s + 2*a = 31, -5*s + 2*a - 3*a + 119 = 0. Suppose -5*d - s = -w, -4*w - d = -8*w + 92. Is w a prime number?
True
Let i = -198 + 563. Is i a composite number?
True
Suppose 5*n - 2*n - 60 = -4*o, 3*n - 39 = 3*o. Is n/56 + 1354/14 prime?
True
Let t = 3 - 1. Suppose -3*i - 2*g - t*g + 130 = 0, 3*i - 94 = 5*g. Is i prime?
False
Suppose -m = 4*m - 395. Is m prime?
True
Suppose 0 = 3*f + 1 - 10. Let r be 1*13*(0 + 9). Suppose 5*c = -3*b + r, 55 = f*c + b - 3*b. Is c a prime number?
False
Let v = 18 + 16. Suppose -7 = -4*q - 5*p + 53, -4*p - v = -5*q. Is q a prime number?
False
Suppose -2*m - 2*x + 99 = -5*x, -2*m + 89 = -5*x. Suppose 0*o = 3*o - m. Is o a composite number?
False
Suppose -j - j + 50 = 3*z, 5*j = z + 108. Suppose -3*a = 3 - 0. Is j - (2 + 3*a) prime?
True
Suppose -2*p - 12 = -2*w, -p + 4*w = -2*p - 1. Let x(o) = o**3 + 5*o**2 - 6*o - 7. Let h be x(p). Let r = h + -13. Is r prime?
False
Suppose -1381 - 1275 = -4*n - 4*j, -j = -2*n + 1337. Is n a prime number?
False
Let x(c) = -c**2 + 2*c + 2. Let b be x(4). Let v = b - -10. Suppose k + 168 = -5*f + 825, 0 = f - v*k - 123. Is f composite?
False
Let w(k) be the third derivative of -k**7/840 - 7*k**6/720 + k**5/12 + 3*k**2. Let n(f) be the third derivative of w(f). Is n(-10) a composite number?
False
Let t = 25 + -36. Let a = t + 22. Is a prime?
True
Let a = 408 - 221. Is a a prime number?
False
Is (-5)/((-10)/(-7))*-122 prime?
False
Let t = -40 - -62. Suppose 5*x + t = 5*h + 4*x, 5*h + 5*x - 40 = 0. Suppose -4*f + 909 - 174 = -h*g, -2*f - 3*g = -373. Is f a prime number?
False
Let v = 191 + -286. Let k = v - -154. Is k a composite number?
False
Let l(d) = -2 + d**2 + 13 + 2*d**3 + 3*d - 3*d**3 - 3. Let w be l(6). Let q = 239 + w. Is q a prime number?
False
Let b(m) be the third derivative of m**5/15 - m**4/6 - m**3/2 + 4*m**2. Is b(-4) composite?
True
Is 1*2 + (30 - -3857) prime?
True
Suppose -12 = -4*d - 2*s, 4*s - 9 = -4*d - d. Suppose 4*q - 2*a - 231 = q, -159 = -2*q + 3*a. Suppose -d*c - 3*t + 560 = -q, -t + 508 = 4*c. Is c composite?
False
Let x = 0 - -19. Suppose -o - x = -2*o. Suppose -o - 27 = -2*r. Is r a composite number?
False
Let d be ((-302)/8 - -3)*4. Let q be d*(-1)/((-1)/(-2)). Suppose 3 = 3*t - 2*t, 0 = 5*l + t - q. Is l a prime number?
False
Suppose -5*d + 44 = 4*h - 3*h, 2*d = -3*h + 15. Let i = 16 - d. Let m = i + -5. Is m composite?
False
Let k = 4 + 0. Suppose -k*i + 220 = -0*i. Is i a composite number?
True
Suppose 0 = 6*v - 24*v + 85338. Is v a prime number?
False
Is (-2018)/(-3) + 3/18*2 a prime number?
True
Suppose -12 = -2*f - f. Let t(x) = 3*x**2 + x - 3. Is t(f) a prime number?
False
Suppose 4*b - 644 = -0*b. Is b a composite number?
True
Suppose 2*d = -2*h + 270, -2*d - 3*d - 4*h = -676. Suppose -x = 4*u - d, 3*x = -2*u + 4*x + 74. Is u composite?
True
Let q = 9 + -16. Let t = -7 - q. Suppose 2 = -5*m - 3, t = 5*d - 2*m - 97. Is d a composite number?
False
Is ((-74)/3*-3)/(3 - 1) a prime number?
True
Is 12/(-3) + 4 - -763 a prime number?
False
Suppose -8 = o - 4*x + 3, 2*x = o + 5. Let r(a) = 51*a. Is r(o) composite?
True
Suppose f - 4*c - 175 = 0, 2*f + c = 3*f - 166. Is f a prime number?
True
Suppose 4*i - 642 = 2*i + 5*w, -5*w = i - 336. Is i prime?
False
Let t(a) = -6*a**3 + 3*a**2 + a + 5. Is t(-3) prime?
True
Suppose -5*b + 0*b + 40 = 0. Let i = b + -6. Suppose i*o = 3*j + 5*o - 255, 0 = -j + 2*o + 97. Is j composite?
False
Let z(r) = -66*r + 5. Is z(-4) composite?
False
Let g(c) = -18*c**3 + 2*c**2 + 3*c + 3. Is g(-2) a prime number?
True
Suppose 2*b + 2*b - 1676 = -4*p, -4*b + p = -1676. Is b prime?
True
Let q(w) = -14*w + 5 - 8*w + 0. Is q(-8) composite?
False
Let x(v) be the third derivative of 9*v**4/8 - v**3/3 + v**2. Is x(5) prime?
False
Let o = -14 - -19. Suppose o*d = 165 + 290. Is d a prime number?
False
Suppose -2*o + 6 = -2. Let n be (-342)/(-8) + 1/o. Suppose -2*y = 8, -u = 2*u + 5*y - n. Is u a prime number?
False
Let s(c) = c - 9. Let d be s(11). Suppose 0 = -2*r + 3*r - d*q - 175, 3*r + q - 497 = 0. Is r a composite number?
False
Let k(a) = -14*a + 13. Is k(-7) a composite number?
True
Let b = 6 - 2. Suppose 0 = -3*j + y - b, y - 2*y - 12 = 5*j. Is 6*j/4*-2 composite?
True
Is (13321/21)/((-2)/(-6)) a composite number?
True
Let u be 2 - 31/(2 + -3). Let a(c) = 2*c**2 + 1. Let w be a(1). Suppose 0*z + u = w*z. Is z prime?
True
Suppose 2*y = 5456 + 3518. Is y a composite number?
True
Suppose -7*v + 3*v = -4, -5*v = 2*a - 21. Let i be 506/a - 2/8. Suppose -i = -p - d, 2*p - 339 = -3*p + d. Is p composite?
False
Suppose -3*l + 5 = 53. Is ((-220)/l + -2)*4 prime?
True
Is (1/(2/(-223)))/(4/(-8)) prime?
True
Let w be 3 + 2 + (-20)/4. Suppose w*h = 5*h - 1455. Is h composite?
True
Suppose 2*y = 193 + 385. Is y composite?
True
Suppose -7 = -x - 2*v, 3*v - 4*v = 3*x - 11. Let s(g) = -10 + 2*g**3 - 7*g**2 + 4*g + 2*g**x + 2*g**3 - 7*g**3. Is s(-8) a prime number?
False
Let o be ((-5)/(-2))/((-4)/(-8)). Suppose 366 = o*g - 3*g. Is g prime?
False
Let i be ((-208)/(-20))/((-2)/(-15)). Let v = 244 - i. Is v composite?
True
Let l = 3132 + -2211. Is l a prime number?
False
Let y(m) = m**2 - 234. Let p be y(0). Let i be 2/(-7) - (-4722)/14. Let b = p + i. Is b prime?
True
Let m(f) = -3*f**2 - f + 11. Let q be m(-5). Let z(l) = -l**2 - 2*l + 2. Let s be z(-4). Let o = s - q. Is o composite?
False
Let y(a) = 2*a**3 - 6*a**2 + 15. Is y(5) composite?
True
Suppose -o + 3*o - 6 = 0. Let w be 5 + 1/(-1) + 1. Suppose -z = w*i - 34, -2*z + i = o*i - 44. Is z composite?
False
Let n(t) = -t**3 + 3*t + 1. Let u be n(-3). Suppose -24 - u = -p. Is p composite?
False
Let m be 2 + 0 - (1 + -35). Suppose 0 = 2*d + 3*q - 5 + 22, -q = d + 6. Let s = d + m. Is s prime?
False
Let a = -69 - -148. Is a a composite number?
False
Let k = -119 + 47. Is 1/1 + k/(-2) a prime number?
True
Let n(u) = 2*u - 13. Let q be n(8). Suppose 0 = q*v - 5*d - 821, -3*d - 117 - 154 = -v. Is v a composite number?
False
Suppose -4*d + 5*v = -0*v - 11049, -d = -4*v - 2765. Is d a composite number?
True
Let t(v) be the second derivative of v**4/6 + 13*v**3/6 + 15*v**2/2 - 5*v. Is t(-10) composite?
True
Suppose -3*b = 5*s - 200, -4*s - 4*b + 147 = b. Suppose 36 = z - s. Is z a prime number?
True
Let m = 127 + -124. Let u(c) = 13*c**2 + 3. Let l be u(-4). Is l + 0*m/(-9) prime?
True
Suppose -47 = 2*l - 7. Is (-6)/(-10) + (-2528)/l composite?
False
Let q be (3/6)/((-1)/(-24)). Suppose -12 = 5*o - o - 2*l, -4*o = 3*l + q. Let a = o + 14. Is a prime?
True
Let c(r) = 11*r**2 - 3*r + 3. Is c(-4) prime?
True
Let q(j) = j**2 + 6*j - 7. Let o(n) = 2*n**2 + 12*n - 14. Let r(b) = 3*o(b) - 5*q(b). Let g be r(-7). Suppose -x = -g*x - 7. Is x a composite number?
False
Let z be -24*(32/12 - 3). Suppose 0 = 13*i - z*i - 4075. Is i a prime number?
False
Suppose 4*q + 5*a + 366 = 10807, 2*q - 5222 = -4*a. Is q a composite number?
False
Let t be 2 + (1 + -4)/(-1). Suppose -t*a + 107 - 356 = -2*r, 509 = 4*r + a. Is r composite?
False
Suppose -14 = w + 3*a - 49, -2*w - a = -70. Let c = 301 - w. Is (1/(-2))/((-1)/c) a composite number?
True
Suppose -5*z - 4*x = 26, 5*z + 2*x = -3*x - 30. Is z/4 + 273/14 a composite number?
False
Is 6/18 - (2 - (-4012)/(-6)) prime?
False
Let j be 1701/(-6)*-2 - 1. Suppose 4*o - j = 174. Is o prime?
False
Let x = 283 - 184. Let z = x + -45. Suppose b - c - z = -6*c, 0 = -5*b + 3*c + 186. Is b composite?
True
Let f(v) = -v**3 - 14*v**2 - 6*v - 17. Is f(-14) a prime number?
True
Let c = -2166 + 3190. Suppose 5*q - 601 = c. Suppose -q = -s - 4*s. Is s a prime number?
False
Is (21 + -4)/(6/42) a prime number?
False
Let s(z) = -z**2 - 1. Let o be s(1). Let u be (-3 + o)*4/2. Is 6/(-15) + (-104)/u prime?
False
Let s(z) = 16*z. Let j be s(1). Suppose j = u - 5*u. Let i(w) = w**3 + 3*w**2 - 6*w - 1. Is i(u) prime?
True
Let r = 14 - 47. Let p = r - -60. Suppose p = 4*c - 61. Is c a composite number?
True
Let p(f) be the first derivative of f**6/360 + f**4/4 - f**3/3 + 2. Let n(x) be | {
"pile_set_name": "DM Mathematics"
} |
8. Give l(-13).
-8
Let t(m) = 97*m - 353. What is t(4)?
35
Let x(m) = -2*m - 1. Determine x(2).
-5
Let m(f) = f**3 + 9*f**2 + 8*f + 8. Give m(-8).
8
Let s(h) = h**3 + 8*h**2 + 8*h + 7. Determine s(-6).
31
Let y(x) = -x + 6. What is y(6)?
0
Let l(x) = -4*x - 36. Calculate l(-11).
8
Let o(u) = u - 4. What is o(9)?
5
Let f(q) = 6*q**2 - 6*q + 3. Give f(2).
15
Let d(r) = r**2 + 6*r - 57. Determine d(-11).
-2
Let d(j) = j**3 + 15*j**2 - 2*j - 8. Determine d(-15).
22
Let b(f) = f**3 + 3*f**2 + 3*f + 3. Calculate b(-2).
1
Let b(z) = -3*z**3 - 5*z**2 + 3*z. What is b(1)?
-5
Let x(g) = -g**2 - 2*g - 7. Give x(-2).
-7
Let c(z) = z**3 + 6*z**2 + 3*z - 8. What is c(-6)?
-26
Let v(g) = g**3 - 7*g**2 + g - 9. Calculate v(7).
-2
Let n(j) = 3*j + 80. Calculate n(-23).
11
Let v(l) = -l**3 + 33*l**2 - 2*l + 59. What is v(33)?
-7
Let f(r) = -r + 8. Calculate f(-5).
13
Let j(c) = c**3 - 5*c**2 - 2*c - 1. Calculate j(6).
23
Let u(q) = q**2 - q - 42. What is u(0)?
-42
Let a(j) = 6*j - 17. Determine a(5).
13
Let b(w) = w**3 - 5*w**2 - 18*w + 56. What is b(6)?
-16
Let i(f) = -f**2 + 16*f - 29. What is i(14)?
-1
Let x(y) = -2*y**2 + 8*y + 7. Determine x(4).
7
Let d(r) = -2*r**3 - 21*r**2 - 11*r - 13. Determine d(-10).
-3
Let v(h) = h**2 + 11*h + 15. What is v(-8)?
-9
Let m(b) = 3*b**2 - 86*b - 14. Give m(28).
-70
Let d(y) = -9*y + 4. Determine d(-5).
49
Let c(w) = w**2 - 17*w + 35. Calculate c(15).
5
Let l(i) = i**3 - i**2 - i + 12. Determine l(0).
12
Let p(k) = 2*k**2 - 46*k - 59. Determine p(28).
221
Let w(s) = -s**2 + 5*s - 4. What is w(7)?
-18
Let p(n) = -n**3 - 6*n**2 + 4*n - 18. Calculate p(-7).
3
Let f(m) = -m**3 + 28*m**2 + 20*m + 272. Give f(29).
11
Let c(x) = x**3 - 7*x**2 - 6*x + 72. Determine c(5).
-8
Let r(w) = -w**3 + 22*w**2 - 22*w + 8. What is r(21)?
-13
Let i(y) = y**2 + 10*y + 22. Give i(-3).
1
Let m(a) = -a**2 + 61. Determine m(0).
61
Let d(g) = 13*g - 11. What is d(-9)?
-128
Let l(u) = -u**2 + 14*u - 21. Determine l(12).
3
Let m(b) = b**3 - 6*b**2 - 4*b - 7. Determine m(4).
-55
Let c(p) = -p**3 + 5*p**2 - 2*p - 8. What is c(3)?
4
Let p(i) = -3*i - 5. Give p(4).
-17
Let d(v) = -v**3 + 4*v**2 + 2*v + 7. What is d(5)?
-8
Let z(i) = i**3 + 7*i**2 + 10*i + 10. Give z(-7).
-60
Let k(u) = -u + 10. Calculate k(9).
1
Let b(j) = -4*j. Give b(-6).
24
Let t(x) = 6*x**2 - 9*x + 7. Give t(4).
67
Let i(k) = -25*k + 456. Determine i(18).
6
Let m(z) = z - 21. Calculate m(11).
-10
Let f(n) = -2*n**3 - 21*n**2 - 7*n + 21. Give f(-10).
-9
Let r(y) = -4*y + 17. Determine r(6).
-7
Let d(z) = z**2 + 275*z - 1123. Give d(4).
-7
Let b(c) = -69*c + 58. Calculate b(1).
-11
Let a(t) = -5*t + 95. Determine a(0).
95
Let k(p) = p**3 - 53*p**2 - 107*p - 187. What is k(55)?
-22
Let u(g) = -g**3 - 6*g**2 - 11*g - 18. Calculate u(-5).
12
Let k(b) = 16*b - 228. Determine k(14).
-4
Let l(z) = -z**3 - 13*z**2 + 13*z - 35. Calculate l(-14).
-21
Let b(l) = l**3 + 4*l**2 - 6*l + 1. Determine b(-5).
6
Let w(r) = 6*r + 6. Calculate w(-4).
-18
Let q(f) = -f**2 + 25*f - 148. What is q(12)?
8
Let v(z) = -z + 2. Calculate v(4).
-2
Let w(j) = -3*j**3 - j**2 + 2*j + 2. What is w(-2)?
18
Let j(z) = z - 20. Calculate j(8).
-12
Let l(r) = -r**2 - 7*r - 8. What is l(-4)?
4
Let n(h) = -h**2 + 24*h - 8. Calculate n(13).
135
Let a(w) = 7*w**3 - w**2 - w. What is a(2)?
50
Let f(l) = l**2 - 2*l - 1. Give f(-2).
7
Let d(f) = 4*f - 37. Calculate d(9).
-1
Let c(d) = -3*d + 7. Calculate c(11).
-26
Let y(f) = f**3 - f**2 + f - 1. What is y(0)?
-1
Let r(l) = 3*l - 8. Calculate r(14).
34
Let l(x) = 8*x + 37. What is l(-11)?
-51
Let y(c) = -c**3 - 12*c**2 + 11*c + 11. Give y(-13).
37
Let k(s) = -s**2 - 7*s + 23. Give k(-9).
5
Let l(p) = -p**3 + 16*p - 4. Give l(-4).
-4
Let l(c) = -c**2 + 34*c + 191. Calculate l(39).
-4
Let f(j) = -12*j + 46. Determine f(3).
10
Let q(h) = -h**2 - 6*h - 5. What is q(-8)?
-21
Let u(v) = -v**3 + 2*v**2 + v + 3. Calculate u(3).
-3
Let v(j) = -2*j**2 + 21*j + 8. Give v(11).
-3
Let y(j) = -16*j + 600. Give y(38).
-8
Let n(u) = 4*u + 49. What is n(-20)?
-31
Let d(m) = 9*m - 25. What is d(5)?
20
Let r(t) = t**2 - 15*t - 25. Give r(15).
-25
Let m(z) = 12*z**2 - 7*z - 10. Calculate m(-2).
52
Let a(u) = -2*u**2 + 2*u + 59. Give a(-5).
-1
Let a(m) = -6*m**2 + 6*m - 6. Give a(4).
-78
Let c(k) = 17*k - 110. Determine c(6).
-8
Let l(h) = h**2 + 13*h - 254. Give l(-24).
10
Let t(d) = -3*d + 32. What is t(10)?
2
Let a(p) = -p**3 + 6*p**2 + 7*p - 8. Calculate a(7).
-8
Let f(i) = i**2 - 9*i + 7. Give f(8).
-1
Let h(x) = 18*x + 3. What is h(1)?
21
Let s(t) = -242*t - 483. What is s(-2)?
1
Let t(a) = -a**2 + 19*a. What is t(19)?
0
Let k(r) = r**2 + 13*r - 1. Give k(-14).
13
Let r(v) = -2*v**3 + 10*v**2 + 10*v + 18. What is r(6)?
6
Let z(d) = 14*d**3 - 2*d + 2. Calculate z(1).
14
Let i(k) = k + 13. Give i(-20).
-7
Let a(q) = -3*q + 20. Determine a(6).
2
Let q(k) = -k**3 - 7*k**2 - 4*k - 2. Calculate q(-7).
26
Let o(t) = t**3 - t**2 + 3*t + 5. Determine o(0).
5
Let m(i) = -18*i**2 - 3*i - 2. What is m(-1)?
-17
Let d(l) = l**2 - 11*l + 22. Determine d(6).
-8
Let w(z) = 2*z**2 + 3*z + 3. Calculate w(-2).
5
Let u(h) = 15*h + 117. Calculate u(-12).
-63
Let j(t) = -8*t**2 + 6*t - 27. Calculate j(3).
-81
Let y(r) = r**3 + 6*r**2 + 3*r + 4. What is y(-2)?
14
Let z(b) = -b**2 + 4*b - 2. Calculate z(1).
1
Let h(f) = f**2 - 5*f + 7. Calculate h(7).
21
Let c(i) = -i**3 + 9*i**2 - 8*i + 7. Determine c(8).
7
Let p(z) = -19*z**2 + z + 2. Give p(-1).
-18
Let s(k) = -k + 8. What is s(9)?
-1
Let u(j) = -j**2 + 16*j - 33. Calculate u(14).
-5
Let w(n) = 5*n - 26. What is w(11)?
29
Let c(q) = 23*q + 1. Give c(-2).
-45
Let j(z) = -9*z**3 + 2*z**2 - z - 4. What is j(-2)?
78
Let u(y) = y**3 + 6*y**2 + y + 7. Give u(-6).
1
Let k(u) = 2*u**2 + 22*u - 4. What is k(-11)?
-4
Let p(v) = 80*v**3 - v**2 + 3*v + 3. Determine p(-1).
-81
Let v(k) = -k**3 - 7*k**2 - 3*k + 2. Calculate v(-4).
-34
Let k(w) = -35*w - 181. Give k(-5).
-6
Let l(v) = v**3 - 15*v**2 - 13*v + 200. Determine l(15).
5
Let l(h) = -48*h - 134. Determine l(-3).
10
Let o(i) = i**3 + 57*i**2 - 58*i - 17. Calculate o(-58).
-17
Let o(n) = 16*n**2 - 9*n + 16. What is o(2)?
62
Let f(j) = 3*j + 25. Give f(-8).
1
Let w(p) = -2*p + 29. Give w(-14).
57
Let x(b) = -3*b**2 + 175*b - 45. Give x(58).
13
Let o(w) = -2*w**2 + 15*w - 5. What is o(8)?
-13
Let s(x) = x**2 + 12*x + 8. Determine s(-8).
-24
Let g(r) = -r**3 - 19*r**2 - 21*r - 22. Give g(-18).
32
Let l(r) = -r**2 + 10*r - 17. What is l(6)?
7
Let j(s) = -s**3 - 7*s**2 + 20*s - 1. Determine j(-9).
-19
Let s(q) = -q**3 - 17*q**2 + 19*q + 16. Determine s(-18).
-2
Let t(a) = a**3 + 12*a**2 - 14*a - 23. Determine t(-13).
-10
Let a(j) = -3*j**2 + 5*j - 16. Give a(7).
-128
Let t(o) = o**3 + 18*o**2 + 30*o - 32. Give t(-16).
0
Let o(i) = -8*i + 33. Give o(4).
1
Let l(m) = m**3 + 12*m**2 - 13*m + 1. Give l(-13).
1
Let a(m) = 9*m**2 - 3*m + 3. Calculate a(1).
9
Let i(a) = a**3 + 3*a**2 - a + 5. What is i(-4)?
-7
Let o(r) = 5*r**2 + r. What is o(1)?
6
Let l(k) = 2*k**2 - 34*k + 27. Determine l(16).
-5
Let l(r) = -96*r - 481. Determine l(-5).
-1
Let x(a) = a**3 - 9*a + 7. What is x(3)?
7
Let x(u) = u**2 - 24*u + 41. What is x(24)?
41
Let b(u) = -u**3 - 17*u**2 + 2*u + 12. Determine b(-17).
-22
Let v(b) = -b**2 + 3*b + 13. Give v(-4).
-15
Let l(y) = -y - 6. What is l(-3)?
-3
Let l(z) = 6*z - 27. Determine l(5).
3
Let g(a) = 4*a - 20. Determine g(4).
-4
Let w(i) = -i**3 + 2*i**2 - i - 2. Determine w(-1).
2
Let g(d) = d**3 + 9*d**2 - 13*d - 18. Calculate g(-10).
12
Let c(b) = 5*b - 74. Give c(14).
-4
Let o(g) = -g + 16. Calculate o(11).
5
Let a(g) = 5*g**2 + 38*g + 17. Calculate a(-7).
-4
Let w(o) = o**2 - 12*o - 23. Calculate w(14).
5
Let h(d) = d**3 - 10*d**2 - 11*d - 1. Calculate h(11).
-1
Let b(m) = 10*m + 47. Calculate b(-6).
-13
Let m(a) = -13*a + 5. Calculate m(-4).
57
Let x(k) = 13*k + 20. What is x(-4)?
-32
Let g(u) = -u**3 + 8*u**2 + 2*u + 8. What is g(8)?
24
Let r(b) = -b**2 - 14*b - 43. Determine r(-11).
-10
Let o(g) = -g**3 - 10*g**2 - 8*g + 7. What is o(-9)?
-2
Let l(t) = -t**3 - 39*t**2 - 2*t - 70. Give l(-39).
8
Let m(y) = y + 25. Calculate m(-9).
16
Let x(w) = -w**2 - 6*w + 7. Determine x(-6).
7
Let j(r) = 4*r + 13. Give j(-3).
1
Let b(q) = -2*q + 40. What is b(-17)?
74
Let k(h) = -36*h + 2. Calculate k(1).
-34
Let m | {
"pile_set_name": "DM Mathematics"
} |
t the prime factors of c.
7, 79
Suppose 35*j + 47*j - 68*j - 240478 = 0. List the prime factors of j.
89, 193
Suppose 2*v + 26 = -7*g + 5*g, 3*g + 2*v = -39. List the prime factors of (-2 - 84 - -2 - -1)*g.
13, 83
Suppose 3*w - 180 = 9*w. Let z be (-146)/w*1 - (-172)/1290. List the prime factors of 112 + 2 - 1/(z - 4).
113
Suppose -287*h + 9217089 + 4034562 = 0. What are the prime factors of h?
3, 15391
Suppose -10*n + 13*n = 2*v - 130, -4*n = 5*v + 181. List the prime factors of 2/((n/(-110))/(62/10)).
31
Suppose -2*x + 4*g + 18498 = 0, 0 = 2*x - 52*g + 53*g - 18468. List the prime factors of x.
3, 3079
Suppose -7517*w + 49356 = -7505*w. List the prime factors of w.
3, 457
Let u(l) = l**3 - 5 - 5 - 5 - 7*l**2 - 4*l + 23*l**2. Suppose -11*f + 24 - 200 = 0. List the prime factors of u(f).
7
Let g = -91 - -94. Suppose g*u - 3*t = 27, 0 = 5*u + 5*t - 15. List the prime factors of 1*u/((-24)/(-388)).
97
Let x(c) = -c**3 + 3*c**2 + 4*c + 2. Let r be x(4). Let l be (3 + -2)/((r/(-5))/2). Let o(m) = 3*m**2 + m + 38. What are the prime factors of o(l)?
2, 3
List the prime factors of -291*3056/48*3/(-3).
97, 191
Suppose 0 = 9*k + 69 + 21. What are the prime factors of (k - (1 - 6)) + 58?
53
What are the prime factors of -2*17/204*-169158?
11, 233
Suppose -u + 94*y = 90*y - 14809, 2*u + 3*y - 29585 = 0. What are the prime factors of u?
14797
Let m = -30 + 35. Suppose m*r - 5*c = 1130, -c + 489 + 647 = 5*r. List the prime factors of r.
227
Suppose 6*t - 4*f - 336 = 2*t, -4*f - 249 = -3*t. Let d = t - 65. List the prime factors of 11/d - 5/4*-50.
3, 7
Suppose 0 = -5*w + 2*a + 23, 4*w + 3 = -2*a + 25. Suppose w*t + 2*c = 4950, -23*t - 5*c = -18*t - 4935. What are the prime factors of t?
2, 31
Suppose 4662 = 20*r + 22*r. Suppose 3*s = -5*z + 1950 - r, -3*z - 9 = 0. What are the prime factors of s?
2, 3, 103
Let v be (-128)/(-10) + (-12)/15. List the prime factors of 2/v*2 - 425/(-3).
2, 71
Suppose -16*p + 12*p + 12 = 0. Suppose -5*c - 7 = p. What are the prime factors of (3 - 16)*(c - 3)?
5, 13
Let i be (-6)/8 - (-525)/140. Suppose 75 = 4*a + q, a - 5*q + 0 - 3 = 0. Suppose -i*o + 3 = -a. What are the prime factors of o?
7
Let u(l) = -l**3 + 5*l + 2. Let v be u(3). What are the prime factors of (-195)/78*296/v?
2, 37
Let r = -2 + 10. Suppose -a - r = 2*s - 4*s, 2 = 5*s + 2*a. Suppose 6 = -3*p, -s*p = -5*x + x + 496. What are the prime factors of x?
3, 41
Suppose 5*d - 9 = -3*c + 2*d, 2*d = 3*c - 19. Suppose -4*l = -3*z + 443, -5*z = 3*l - l - 695. Suppose 36 - z = -c*s. What are the prime factors of s?
3, 7
Let n(a) = -a**3 - 10*a**2 + 37*a - 13. Suppose 2*p - 7*v = -4*v - 38, -5*v - 19 = 3*p. List the prime factors of n(p).
13
Suppose 0*u + 85627 = 2*u + 1249. List the prime factors of u.
3, 7, 41
Let s(m) = 33*m + 44. Let u(p) = 34*p + 45. Let a(n) = 4*s(n) - 3*u(n). What are the prime factors of a(15)?
491
Let q(h) = -14*h - 40. Let w be q(-4). Suppose -w*p + 22260 = 548. What are the prime factors of p?
23, 59
Suppose 4*m + 3*z = -1, 3*m + z + 9 = -4*z. Let t(i) = 1 - 1 - 9*i**3 + 7*i + 8*i**3 + i**m. What are the prime factors of t(3)?
3
Let r(u) = -92*u + 12. Let p be r(-3). Let d = 130 + 111. Suppose 4*x + 47 = 3*b - d, p = 3*b + x. List the prime factors of b.
2, 3
Let s(k) = -k**3 + 7*k**2 - k + 4. Let p be s(8). Let a = -68 - p. Suppose a*j + 2*j = 318. List the prime factors of j.
3, 53
Let j = 14541 + -8665. List the prime factors of j.
2, 13, 113
What are the prime factors of ((-1)/((-9)/7710))/((-52)/(-1794))?
5, 23, 257
Let c = 4304 - -811. List the prime factors of c.
3, 5, 11, 31
Suppose a - 15 = 4*a + 5*q, 0 = a - 3*q + 5. Let p be 5/(a/(-15)*3). Suppose -2*w = 2*r - 33 + 7, 2*w - 19 = p*r. What are the prime factors of w?
2, 3
Suppose 0 = -22*s - 9 + 273. Let m(r) = 3*r**2 - 58. What are the prime factors of m(s)?
2, 11, 17
Let z = 181 - 126. Suppose 9*g + 10 = z. Suppose 254 = g*i - 86. List the prime factors of i.
2, 17
Let s = -69 + 69. Suppose -2*t + 6 + s = 0. Suppose 213 = 4*z + 5*k, t*z - 3*k = 149 + 4. List the prime factors of z.
2, 13
Suppose -g = 5*x - 13145, 19*x + g = 15*x + 10517. List the prime factors of x.
2, 3, 73
Suppose 4*t = -h + 3*h - 14, 3*t - 5*h - 7 = 0. Let v be (720/(-6))/(t/(-8)) + 0. Let b = v - -284. List the prime factors of b.
2, 31
Let o = -318 + 718. Let b be (3/4)/((-4)/o)*1. List the prime factors of (15/b + (-4)/5)*-164.
2, 41
Let t(f) = 17*f**2 - 8*f - 29. Let m be t(-7). Suppose 2*g - m = 5*u, -4*g - u = -3*g - 437. What are the prime factors of g?
3, 5, 29
Let t(d) = 5*d**2 + 6*d - 36. Let m be (36/15)/(63/15 - 4). List the prime factors of t(m).
2, 3, 7
Suppose 27698 = 16*c + 11008 - 22398. What are the prime factors of c?
7, 349
Suppose 0 = -f - 3*y - 4, -6*y = -2*f - 3*y - 8. What are the prime factors of (((-2035)/20)/1)/(1/f)?
11, 37
Suppose 293*u - 2684004 = -1136574 + 3720417. What are the prime factors of u?
3, 13, 461
Let x(t) = t**2 + 9*t - 5. Let n be x(-10). Suppose -4*s = l + 23, -3*s - n*l - 22 = -9. List the prime factors of 4 + 20/s - 319/(-3).
107
Suppose 2*r - 6*r = 16. Let h(s) = -s**2 - 2*s - 6. Let y be h(r). What are the prime factors of (-1242)/y - (-10)/35?
89
Let u(d) = -20*d + 1 - d**3 + 574*d**2 + 0 - 585*d**2. Let p be u(-9). Suppose 0 = -2*y + p - 3. List the prime factors of y.
2
Let f(m) = m**2 + 3*m - 30. Let c be f(-7). What are the prime factors of 1082/2 - 25/10*c?
2, 3, 7, 13
Let z be ((-13)/(91/12))/(2/(-7)). Suppose -z*l = 530 - 3074. What are the prime factors of l?
2, 53
Let y = 0 + 85. Let f(a) = 25 - 9*a - a - y. List the prime factors of f(-11).
2, 5
Suppose -3*s = 2*a - 10, -4*s + 18 = -a - a. Suppose -s*f + 240 = 2*g, 2*g = f + 4*f + 258. What are the prime factors of g?
2, 31
Let a = 180 + -180. Suppose 36*i - 33*i - 1212 = a. List the prime factors of i.
2, 101
Suppose -898821 = -96*f + 399003. List the prime factors of f.
11, 1229
Let g = -4293 - -18037. Suppose -g = -15*v - 889. What are the prime factors of v?
857
Suppose 22*q - 19*q + 1047 = 0. Let j = q - -614. What are the prime factors of j?
5, 53
Let m = 179234 - 121637. List the prime factors of m.
3, 73, 263
Let b(m) = 11*m - 25. Let c be b(5). Suppose 5*v - c = -5*s, s + 3*v - 10 = -s. Let y(f) = 3*f + 20. What are the prime factors of y(s)?
2, 11
Let k be ((-114)/((-12)/(-4)))/(4/(-6)). Suppose k*g - 1316 = 53*g. List the prime factors of g.
7, 47
Let k = 126820 + -58349. List the prime factors of k.
13, 23, 229
Suppose -7*f + 5 = -9. Suppose 0 = -5*d - 5, 0 = f*o + 2*o - 4*d - 1676. List the prime factors of o.
2, 11, 19
Let y(h) = 3*h**2 + 39*h + 2209. What are the prime factors of y(54)?
13063
Let p = -13327 + 31545. List the prime factors of p.
2, 9109
Let d(u) = 2*u**3 - 5*u**2 + 13*u - 9. Let q = 545 + -540. List the prime factors of d(q).
181
Let m(l) = 9*l**2 + 13*l - 14. Let u(b) = 4*b**2 + 7*b - 7. Let i(y) = 3*m(y) - 7*u(y). Let w be i(-6). Let x = 62 + w. What are the prime factors of x?
3, 31
Suppose -8*k = -u - 3*k + 124, -4*k - 528 = -4*u. Let l = 107 + -153. Let q = u + l. List the prime factors of q.
2, 11
List the prime factors of (-184658)/(-7) - 92/(-1127)*7/2.
2, 5, 1319
What are the prime factors of 2933 + (2 - (4 - -2))?
29, 101
Suppose -h = -19*w + 21*w - 7255, -3*w - 3*h + 10875 = 0. List the prime factors of w.
2, 3, 5, 11
Suppose -4*t = 137724 + 38772. List the prime factors of 2/((-88)/t) + 2/11.
17, 59
What are the prime factors of ((-14)/8 - (-9)/(-6 + -30)) + 530?
2, 3, 11
Let m(q) = 2*q**2 - 165*q + 3365. List the prime factors of m(83).
2, 431
Let a(j) = -3*j**3 + 9*j**2 - 3*j + 17. Let f be a(8). Let u = -660 - f. List the prime factors of u.
307
Suppose 132 = -4*l + l. Let x(m) = m**2 - 16*m - 11. Let b be x(15). Let a = b - l. List the prime factors of a.
2, 3
Let d(j) = -2831*j - 3336. List the prime factors of d(-14).
2, 18149
Let c be ((-7)/5)/((-6)/30). List the prime factors of (-2)/c + 60/14 - -967.
971
Let n(q) = -q**3 + 36*q**2 + 69*q - 63. What are the prime factors of n(36)?
3, 269
Let s(t) = 131*t**2 - 65*t + 186. List the prime factors of s(3).
2, 3, 5, 13
Let u be (324/15 + 2)/(14/(-420)). Let v = u - -1381. List the prime factors of v.
673
Let p(y) = 4*y**2 + 7*y - 11. Let f be p(-3). Suppose 10*x - f*x = 2454. What are the prime factors | {
"pile_set_name": "DM Mathematics"
} |
osest to -3 in 13, -1/13, -1/2, -24/7?
-24/7
Which is the nearest to 1? (a) 4 (b) -13 (c) 0.2 (d) -4
c
What is the nearest to -2/7 in -22, -1.6, 2/17, -1/3?
-1/3
What is the closest to -0.1 in 5, 0.37, 3/371?
3/371
What is the closest to -4 in 0.5, -1/2, 0.31, -7?
-7
What is the closest to -0.046 in 10.6, 2/5, 4?
2/5
Which is the nearest to 0? (a) 0.3 (b) -1.2 (c) -0.2 (d) -63
c
What is the closest to 1/3 in 0.01, -46/853, 4, 1/3, -4?
1/3
Which is the nearest to 0? (a) 2/9 (b) 32 (c) 1/28 (d) 0.5
c
What is the nearest to 3/50 in 0.1, 0.4, 3, 4, 1/2?
0.1
Which is the nearest to -1? (a) -12 (b) -2/15 (c) -0.2 (d) -106 (e) 2/13
c
What is the closest to 0.03 in -0.5, 2/3, 0.31, -0.4?
0.31
What is the closest to -20 in 1, 245, -0.2?
-0.2
Which is the nearest to -0.07266? (a) -0.2 (b) 0.02 (c) -0.3
b
What is the nearest to 0.1 in -1/3, -0.03, -477, -0.1, -3?
-0.03
Which is the closest to 0? (a) -3 (b) 4/147 (c) -2/7 (d) -6.7 (e) 0.2
b
Which is the nearest to 1/11? (a) -3 (b) 21 (c) 3 (d) -2/5
d
Which is the closest to 0? (a) -11 (b) -1073 (c) 6
c
What is the closest to 1.3 in 10, -0.4, 2, 1/7, -314?
2
Which is the nearest to 1? (a) 0.2 (b) -1 (c) 1673
a
What is the closest to 10/733 in -1/4, -3, -1, 4/7, 1/4?
1/4
What is the closest to 1/4 in 4, -2/7, -1/2, -26, -5?
-2/7
What is the closest to 27/2 in 2/45, 2/7, -2, -5?
2/7
Which is the closest to -1? (a) 4 (b) -1/4 (c) 5.3 (d) 4/5 (e) -1.19
e
Which is the nearest to 2? (a) 12 (b) -1/6 (c) 2.5
c
Which is the closest to -12? (a) -5 (b) 2/3 (c) -1/5 (d) -1.75 (e) 2/9
a
Which is the closest to 1? (a) 2/17 (b) 0.1 (c) 54/7 (d) 2 (e) 4
a
What is the closest to 8/11 in 8, -1/5, -2/309?
-2/309
What is the closest to -1 in 2, 783, -0.4, 3/41, -3?
-0.4
Which is the nearest to 4? (a) 0.4 (b) -413 (c) 4 (d) 1/4
c
Which is the nearest to 2/7? (a) -0.2 (b) 118 (c) -50 (d) 0.1
d
What is the closest to -2/3 in 0.1, -1, 60177?
-1
What is the nearest to 102053 in -5, 0.5, 1/4?
0.5
What is the closest to 0.3 in 134, -0.1, -0.3, -0.4, -0.5?
-0.1
Which is the closest to 2? (a) 3 (b) -0.3 (c) -1/2 (d) -18/13 (e) -7
a
What is the closest to 2/9 in 2.5, -0.7, 3, 19/9?
-0.7
What is the closest to -1 in 4, -14.4, -3?
-3
Which is the closest to 0.065? (a) 0.2 (b) -0.21 (c) -37 (d) -4/3
a
Which is the closest to -1/7? (a) 1/7 (b) -0.5 (c) -5.936 (d) -5
a
Which is the closest to -0.1? (a) -46 (b) -4 (c) 16 (d) 3 (e) 5/3
e
Which is the nearest to 0.2? (a) 5 (b) -0.38615 (c) 0.1 (d) 0.2 (e) -4
d
What is the nearest to -3.1 in -1, 8, 2/11, -4/27, -2/17?
-1
What is the nearest to -0.2408 in 2/7, 0.4, -0.2?
-0.2
What is the nearest to 4242 in -26, 0.3, -5?
0.3
Which is the closest to -0.4? (a) -3 (b) 2/3 (c) -2/103 (d) -0.27
d
Which is the closest to 0.03? (a) -1/4 (b) 2377/4 (c) -2
a
Which is the nearest to 0.367? (a) 4/17 (b) 3 (c) -0.4
a
Which is the nearest to -1? (a) 0 (b) -1/4 (c) -10.96 (d) 2/3
b
What is the nearest to 704 in -0.1, -0.04, -2, 1/3?
1/3
What is the closest to 0.1 in -1510, 2, 3?
2
Which is the closest to -1? (a) -1 (b) 4 (c) -1/4 (d) -20 (e) -52
a
What is the nearest to -1/3 in 1, -135, 6, 19?
1
What is the nearest to 2 in -0.2, 801, 1, -5?
1
What is the closest to -0.1 in 50532, -1/4, 1/8?
-1/4
What is the closest to 1/4 in 0.08, -151, -3?
0.08
What is the closest to 0 in -1, 4/5, 0.04, 3/4, -37?
0.04
Which is the closest to 241? (a) 0.4 (b) 20 (c) 2/13 (d) 4
b
What is the closest to 2/5 in 2, -3, -0.9, 26?
-0.9
Which is the nearest to -1? (a) 5 (b) 3 (c) -0.2 (d) 0 (e) -495/38
c
Which is the nearest to 0? (a) 69 (b) -2 (c) -5 (d) -1
d
Which is the closest to 452? (a) -5/7 (b) 2/9 (c) -0.4 (d) -0.13
b
Which is the closest to -0.15? (a) 0.3 (b) -27/121 (c) -4
b
What is the closest to -2 in -0.3, 0, 7.77, 0.1?
-0.3
Which is the closest to 0.2? (a) 3 (b) -506 (c) 0
c
What is the nearest to -12/5 in 2, 6, 200?
2
What is the closest to -81.7 in -4/7, 6/29, 0.5, 2?
-4/7
Which is the closest to 1? (a) -0.2 (b) -1/12 (c) -5 (d) 5 (e) -4/9
b
What is the closest to -2 in -5/2, 2/3, 2256, 4/7?
-5/2
What is the nearest to -1 in 2/7, 36850, 0.1, 0.09?
0.09
Which is the closest to 0.1? (a) -1/3 (b) -79 (c) -52 (d) 0
d
What is the closest to 383 in -1, 5, -0.5, -0.16, -1/4?
5
Which is the nearest to -2? (a) 5 (b) 15938 (c) -1/4
c
Which is the closest to 10? (a) -283/6 (b) 2/5 (c) -0.4
b
What is the closest to -2/7 in 2/5, 1/148, 100/7?
1/148
Which is the nearest to 8? (a) 1 (b) 73 (c) -5
a
Which is the closest to -0.1? (a) -4 (b) -15 (c) 0 (d) -0.3 (e) -61
c
What is the nearest to 2 in -0.05, -1/4, 100, -2/9?
-0.05
Which is the closest to -3? (a) 0 (b) -2 (c) -3/5 (d) -5 (e) 4/5
b
Which is the nearest to 0.1? (a) 1/33 (b) -0.3 (c) 27 (d) -0.9 (e) 0.3
a
Which is the nearest to 0.1? (a) 1284/7 (b) 1/4 (c) 3 (d) -17
b
Which is the nearest to 2/11? (a) -75 (b) 0.4 (c) -2/9 (d) 0.3
d
What is the closest to 2 in 0, -2/3, 164, -11?
0
What is the closest to 5 in -81, 0, 5?
5
Which is the closest to -0.1? (a) -2 (b) -0.3 (c) 34 (d) -0.1
d
What is the nearest to -3 in 2/9, 10/531, 26?
10/531
Which is the nearest to -1.2? (a) -0.33 (b) -4 (c) 0 (d) 11 (e) -3
a
What is the closest to 20/3 in -0.104, -4, 135?
-0.104
Which is the closest to 0? (a) 24 (b) 111 (c) -5 (d) 2
d
Which is the closest to 1? (a) -3/8 (b) -2/5 (c) 0.4 (d) 5655
c
Which is the closest to -5? (a) 1 (b) 0.5 (c) 6/161
c
What is the closest to -5 in -1/2, 31, 4?
-1/2
Which is the nearest to 0.2? (a) -0.041 (b) 11 (c) -1/4 (d) 0.5
a
What is the nearest to 0.1 in 10417, 4, -0.1, -3/7?
-0.1
Which is the nearest to -1025/4? (a) 1/5 (b) 1 (c) -1/2 (d) 1/4
c
What is the closest to 0.7 in 1.5, 2/3, -4/5, -4, -0.09?
2/3
What is the nearest to 1/4 in 2/13, -0.1, -342, -1?
2/13
Which is the closest to -0.8? (a) 4 (b) -2/23 (c) 16 (d) -4.5 (e) 1
b
What is the nearest to -1/3 in 2, -1.28, -37?
-1.28
Which is the closest to -2/3? (a) 2/23 (b) -0.10961 (c) 0.1 (d) 0.2
b
Which is the closest to -2/7? (a) 0.0344 (b) 0.3 (c) -327
a
What is the closest to 2 in 7, 1/7, 10/7, 0.1, 3?
10/7
Which is the closest to -1/3? (a) 5 (b) 4 (c) -31/23 (d) -4 (e) 3
c
Which is the nearest to 0? (a) -0.5 (b) -2/9 (c) -1/5 (d) 8492
c
What is the closest to 0.1 in 71, 1, -1/2, 299?
-1/2
What is the closest to 0 in 5, 2.8, -48/19?
-48/19
Which is the nearest to -0.4? (a) 5 (b) 0.17 (c) -4 (d) -155
b
What is the closest to -380 in -85, 2/7, 0.6?
-85
Which is the nearest to -5? (a) -4 (b) 3/8 (c) 31
a
Which is the closest to -1/4? (a) 65 (b) -2 (c) 43 (d) 4/7 (e) 0.1
e
What is the nearest to 0.5 in 0.4, 2/3, 44, -1/4?
0.4
Which is the closest to 5.5? (a) -5 (b) -10 (c) 2 (d) -14
c
Which is the nearest to -5.09? (a) -27 (b) -0.4 (c) 6
b
What is the closest to -0.2 in -4/3, 0.1, -193.8, -4?
0.1
What is the closest to 11 in -0.4, 0.6, -10.3?
0.6
Which is the nearest to 1? (a) -0.5 (b) -0.339 (c) -5
b
Which is the closest to -3? (a) -5 (b) -0.3 (c) 8401
a
What is the closest to 16 in 1/3, 19, -35?
19
What is the closest to -3/8 in 2, -882, 0.3, 0?
0
Which is the nearest to -1? (a) 3 (b) 4/13 (c) 20704
b
What is the nearest to -144 in -1, -0.4, -1/2, 2/9, -1/10?
-1
Which is the nearest to 0.1? (a) -1/2 (b) -4 (c) 0.04 (d) 17/7 (e) 4
c
Which is the closest to -1? (a) 477/2 (b) -1 (c) -15
b
What is the nearest to 3/20 in 4, -13, -4, -2, 7?
-2
Which is the closest to -6? (a) 1/54 (b) 3/7 (c) 3 (d) 5 (e) 26
a
What is the closest to -0.1 in 48, 1/2, -18?
1/2
Which is the nearest to -7? (a) 2 (b) 180.7 (c) -1.1
c
Which is the nearest to 0.5? (a) -0.1 (b) -3 (c) 2 (d) 10/29
d
What is the closest to -1 in -3, -3.72, -9/7?
-9/7
What is the nearest to 103/14 in 0.4, 0, 5, -36?
5
Which is the closest to 2? (a) 3/4 (b) 21 (c) 1 (d) -3
c
Which is the nearest to 1/5? (a) 56 (b) 0 (c) -0.076
b
Which is the closest to 1? (a) 4 (b) 20 (c) 0.2 (d) -47
c
What is the closest to 5 in 28, -1/5, 1, -1.6?
1
Which is the nearest to 3? (a) 3 (b) -305 (c) -5 (d) -4
a
What is the nearest to -2 in -4, 4, -2/167, 6?
-2/167
What is the closest to 2/61 in 1, -4/121, | {
"pile_set_name": "DM Mathematics"
} |
)*(h + 165321)**2/5
Factor 24*s**2 + 1541828*s + 5909988.
4*(s + 64239)*(6*s + 23)
What is y in -y**2/4 - 6676923*y/2 - 44581300747929/4 = 0?
-6676923
What is c in c**2/2 + 783871*c + 39192925/2 = 0?
-1567717, -25
Factor -q**3/4 - 379713*q**2/2 - 4556529*q/4 - 1708695.
-(q + 3)**2*(q + 759420)/4
Factor -3*r**2 + 181437*r - 13228914.
-3*(r - 60406)*(r - 73)
Factor -34*t**2 - 2668828*t/5 + 31398/5.
-2*(t + 15699)*(85*t - 1)/5
Suppose 5*n**4 + 52065*n**3 - 1776545*n**2 - 5798085*n = 0. Calculate n.
-10447, -3, 0, 37
What is m in 3*m**3/5 - 10068*m**2/5 - 67620*m + 17558263296/5 = 0?
-1152, 2254
Find a such that -a**5/5 - 759392*a**4/5 - 144169052403*a**3/5 + 9872108*a**2/5 + 1874206794112*a/5 + 1730028628992/5 = 0.
-379696, -3, -1, 4
Suppose -4*l**4/3 + 3416*l**3 + 233328*l**2 - 44547208*l/3 - 15078980 = 0. What is l?
-105, -1, 41, 2627
Solve 2*n**2/13 + 28914*n/13 + 89689300/13 = 0.
-9950, -4507
Factor -5*p**2 - 2687220*p - 361057566420.
-5*(p + 268722)**2
What is f in -4*f**3 - 62044*f**2 + 1242404*f - 1180356 = 0?
-15531, 1, 19
Determine r, given that 5*r**4/3 + 503375*r**3 - 3020270*r**2/3 = 0.
-302027, 0, 2
Factor 4*j**3/5 + 52996*j**2/5 + 180791468*j/5 + 34550217548/5.
4*(j + 203)*(j + 6523)**2/5
Factor -75*i**2 - 18415*i + 8610.
-5*(i + 246)*(15*i - 7)
Factor g**3/5 - 112326014*g**2/5.
g**2*(g - 112326014)/5
Factor 5*g**3 + 665705*g**2 - 15979080*g + 95878800.
5*(g - 12)**2*(g + 133165)
Solve 4*x**4 - 3181710*x**3 + 632707294034*x**2 - 949055373066*x + 316351260738 = 0 for x.
1/2, 1, 397713
Determine v so that -7584*v**4 + 181989*v**3 - 1455480*v**2 + 3877824*v + 13824 = 0.
-9/2528, 8
Suppose 3*w**2 + 228129*w - 18726750 = 0. Calculate w.
-76125, 82
Let a**3/5 - 10861*a**2 + 434392*a/5 - 868752/5 = 0. What is a?
4, 54297
Let p**4/5 - 10597*p**3/5 + 74126*p**2/5 + 42388*p/5 - 59304 = 0. Calculate p.
-2, 2, 7, 10590
Factor 5*m**3 - 30230*m**2 + 992595*m - 2705850.
5*(m - 6013)*(m - 30)*(m - 3)
Let 2*b**2/7 - 126858*b/7 - 761220/7 = 0. What is b?
-6, 63435
Solve -5*z**2 - 19066285*z + 57198900 = 0.
-3813260, 3
Solve 3*n**3/8 + 2335869*n**2/4 + 14015193*n/8 + 4671729/4 = 0.
-1557243, -2, -1
Find a, given that 7*a**4/10 + 69109*a**3/10 + 197334*a**2/5 - 59202*a/5 = 0.
-9867, -6, 0, 2/7
Determine o, given that 6*o**3/5 - 1466119*o**2/5 + 244353*o/5 = 0.
0, 1/6, 244353
Solve -14*l**3 + 8336*l**2 + 1249966*l - 4383024 = 0 for l.
-127, 24/7, 719
Find p such that 2*p**5/7 - 814*p**4/7 + 19910*p**3/7 - 37386*p**2/7 + 18288*p/7 = 0.
0, 1, 24, 381
Suppose -2*u**2/3 + 812*u + 191216/3 = 0. Calculate u.
-74, 1292
Solve -4*v**2/3 + 472880*v/3 + 630528 = 0.
-4, 118224
Solve -3*x**5 - 180*x**4 + 29277*x**3 + 1619994*x**2 - 27516384*x + 25867296 = 0.
-84, 1, 13, 94
Factor -2*k**3/15 - 19726*k**2/15 - 18992222*k/15 - 1607803462/5.
-2*(k + 523)**2*(k + 8817)/15
Suppose -5*v**2 + 226530110*v - 2565794536830605 = 0. What is v?
22653011
Factor 4*u**4/7 - 221749700*u**3/7 + 4097744046924264*u**2/7 - 3605846948918076207312*u - 25240932740170802125152/7.
4*(u - 18479142)**3*(u + 1)/7
Factor -g**4/8 + 3826401*g**3/8 + 26784905*g**2/4.
-g**2*(g - 3826415)*(g + 14)/8
Suppose 8*r**4/17 - 28398*r**3/17 - 693126*r**2/17 - 822020*r/17 = 0. What is r?
-23, -5/4, 0, 3574
Suppose 10617*z**2 + 262388536*z - 49428 = 0. Calculate z.
-24714, 2/10617
Factor 2*j**4 - 162974*j**3 + 4642986576*j**2 - 51518062321280*j + 151291238388694016.
2*(j - 25672)**3*(j - 4471)
Factor 2*n**4 + 70772088*n**3 + 834781477418700*n**2 + 3282180734671273801208*n + 9846534690982435481538.
2*(n + 3)*(n + 11795347)**3
Determine a, given that 3*a**4 - 361762146*a**3 + 10905986799686127*a**2 + 43623951539890356*a + 43623952986938988 = 0.
-2, 60293693
Suppose -2*x**4/9 + 34824*x**3 - 12285277882*x**2/9 + 171818004412*x/3 - 109085491360 = 0. What is x?
2, 40, 78333
Solve 2*y**5 + 3362*y**4 + 756925*y**3/2 + 1471062*y**2 + 2377791*y/2 + 273780 = 0.
-1560, -117, -3, -1/2
Factor 4*u**3 - 269460*u**2 - 7547632*u - 25878912.
4*(u - 67393)*(u + 4)*(u + 24)
Factor -2*t**2/5 - 208265402*t/5 - 41653080.
-2*(t + 1)*(t + 104132700)/5
What is o in 2*o**2/19 + 1130*o - 218500 = 0?
-10925, 190
Find z, given that 3*z**2 + 572421*z - 3434634 = 0.
-190813, 6
Solve -o**4/7 - 13425*o**3/7 + 40353*o**2 + 1411705*o/7 - 1680750/7 = 0.
-13446, -5, 1, 25
Solve -2*m**5 - 155618*m**4/3 + 15264418*m**3/9 - 139029010*m**2/9 + 234132272*m/9 - 109900808/9 = 0 for m.
-25969, 1, 46/3
Let -13*a**4/5 - 56882*a**3/5 - 153653*a**2 - 2411892*a/5 + 1282428/5 = 0. What is a?
-4362, -7, 6/13
Factor 5*a**3 + 28060*a**2 + 3905085*a - 28712250.
5*(a - 7)*(a + 150)*(a + 5469)
Let -3*c**3 - 654*c**2 + 3333*c - 2676 = 0. What is c?
-223, 1, 4
Suppose -2*p**5/5 - 358*p**4/5 - 6114*p**3/5 + 245878*p**2/5 + 251636*p/5 = 0. Calculate p.
-154, -43, -1, 0, 19
Let -p**4 - 4805*p**3 + 115896*p**2 = 0. Calculate p.
-4829, 0, 24
Find s, given that -4*s**3 - 2931524*s**2 - 11726048*s - 11726032 = 0.
-732877, -2
Suppose -2*i**2 + 239920*i - 17743128 = 0. What is i?
74, 119886
Factor -5*p**4 + 49760*p**3 - 9285570*p**2 + 582490440*p - 12206044305.
-5*(p - 9763)*(p - 63)**3
Let 169*g**4/2 + 2111967*g**3/2 + 15660769*g**2 + 26213136*g + 11683152 = 0. What is g?
-12482, -13, -12/13
Suppose -1922*l**5/9 - 3066272*l**4/9 + 1978840*l**3/9 - 106400*l**2/3 = 0. What is l?
-1596, 0, 10/31
Factor -i**2 - 224991*i - 9447858.
-(i + 42)*(i + 224949)
Determine k so that 2*k**3/9 - 394*k**2/3 + 54100*k/9 = 0.
0, 50, 541
What is j in 3*j**4/4 + 263101*j**3/2 - 1754067*j**2/4 - 2367949*j/2 + 438510 = 0?
-175404, -2, 1/3, 5
Factor -5*d**3 + 8450*d**2 + 1144080*d.
-5*d*(d - 1816)*(d + 126)
Solve 2*h**2 + 178455984*h + 3980817278176032 = 0 for h.
-44613996
Solve 3*n**2/5 + 137847*n/5 - 689610 = 0.
-45974, 25
Find f, given that 28*f**5 - 447084*f**4 + 3256316*f**3 - 7597332*f**2 + 5937192*f - 1149120 = 0.
2/7, 1, 3, 15960
Let 2*n**3 + 1374*n**2 - 12500*n + 19488 = 0. Calculate n.
-696, 2, 7
Solve -29282*k**5/3 + 4665276*k**4 + 85702598*k**3/3 - 96385744*k**2/3 - 1085432*k - 27104/3 = 0 for k.
-7, -2/121, 1, 484
Factor 4*m**3 + 533028*m**2 + 17818302432*m + 4052486771536.
4*(m + 229)*(m + 66514)**2
Factor -2*k**3/7 + 1275234*k**2/7.
-2*k**2*(k - 637617)/7
Determine r so that 5*r**3 + 59542970*r**2 + 177268263821045*r = 0.
-5954297, 0
Find y such that -y**2/3 + 10980692*y/3 - 30143899199716/3 = 0.
5490346
Find n such that -n**4/2 + 34151*n**3/2 - 331647567*n**2/2 + 658850999913*n/2 = 0.
0, 2657, 15747
Let 2*h**2 + 38667464*h - 77334936 = 0. What is h?
-19333734, 2
What is i in 5*i**5 - 4300*i**4 + 1039980*i**3 - 47982800*i**2 - 4160000*i + 192000000 = 0?
-2, 2, 60, 400
Let -a**2/3 - 779095*a/3 - 259698 = 0. What is a?
-779094, -1
Factor -h**3 + 1946*h**2 + 49780*h - 1156651400.
-(h - 1310)**2*(h + 674)
Find b such that 4*b**5 - 8640*b**4 + 34472*b**3 + 51760*b**2 - 34476*b - 43120 = 0.
-1, 1, 5, 2156
Factor c**2 - 83680286*c + 1750597566260449.
(c - 41840143)**2
Find r, given that r**3 + 463*r**2 + 52699*r + 437517 = 0.
-281, -173, -9
Factor 578*g**3/9 + 2176*g**2/9 - 1036850*g/3 + 9337708.
2*(g + 86)*(17*g - 699)**2/9
Solve -3*y**2/2 - 386369910*y - 24880284558901350 = 0.
-128789970
Determine h, given that 2*h**4 + 250*h**3 + 8452*h**2 + 60272*h + 88704 = 0.
-72, -44, -7, -2
Determine k so that -4*k**2 - 2124101712*k - 281988005182583184 = 0.
-265512714
What is a in -15*a**5 - 15125*a**4 + 546310*a**3 - 1502400*a**2 = 0?
-3130/3, 0, 3, 32
Let a**4 - 6307*a**3 + 56705*a**2 - 144869*a + 94470 = 0. What is a?
1, 3, 5, 6298
Factor d**2/7 - 108045724*d/7 + 2918469618671044/7.
(d - 54022862)**2/7
Determine s so that -5*s**2 + 1629105*s + 347226210 = 0.
-213, 326034
Suppose -2331*z**5/5 - 6983*z**4/5 + 16347*z**3/5 + 6979*z**2 - 42108*z/5 + 36 = 0. What is z?
-3, 10/2331, 1, 2
Find f such that f**4 + 1689856*f**3 + 713888116218*f**2 - 12850565719048*f - 13564452145411 = 0.
-844937, -1, 19
Factor 2*l**2 + 32100*l - 6039792.
2*(l - 186)*(l + 16236)
Factor -2*j**2/11 - 17638592*j/11 + 35277192/11.
-2*(j - 2)*(j + 8819298)/11
Suppose 2*j**4/7 + 81300*j**3/7 + 835507850*j**2/7 + 188953395000*j/7 + 10803346445000/7 = 0. What is j?
-20210, -115
Factor -2*d**2/13 + 600204*d/13 - 30605202/13.
-2*(d - 300051)*(d - 51)/13
Find o, given that -5*o**2 + 1097965*o + 57107700 = 0.
-52, 219645
Determine x | {
"pile_set_name": "DM Mathematics"
} |
-36)*(-24)/10. Let a = -84 - -96. Let p be 3*(3 + 16/a*-3). Which is bigger: p or k?
p
Let o be -212 + 1392 - (2 - -5). Which is smaller: 1181 or o?
o
Let k be (0/(55/(-30) + (-20)/(-24)))/(-2). Is -67/148 bigger than k?
False
Suppose -v - 4 = -2*n, 5*v - 3*n = -7 - 20. Let u be v + (6 - 4/(-1298)). Which is smaller: 1 or u?
u
Let u = 1832/11 + -167. Is -3/25 at most u?
False
Suppose 3*v + 4*r = 9, 0 = 3*v + 3*r + 2*r - 9. Suppose 0*w - w - 22 = -j, -v*w - 76 = -j. Let d = -20 + -9. Which is smaller: d or w?
d
Suppose 5*x - w - 5 = 4*w, -2*x + 5*w = -11. Let f be 1 - 22*x/(-52). Suppose i + 4 = 2*k, -3*i - 2*i = 3*k - 6. Do i and f have different values?
True
Suppose 3 = -4*n - 77. Let j = -1121 + 1116. Let c be (-4)/n - 19/j. Which is bigger: 5 or c?
5
Suppose 3*i + 32 = 4*b, -2*b + 7*b = -i + 21. Let l be 8/(-20) + (-2)/(-5). Suppose l*m + b*c + 26 = m, -m - c = 4. Which is smaller: -2/25 or m?
-2/25
Suppose -1069*z + 1104*z = -315. Let y = -10 - -1. Are y and z equal?
True
Let v = 0.6 - -0.4. Let l = -21960 + 21888. Which is greater: v or l?
v
Suppose 1015 + 774 = -8*j + 477. Suppose 5*o + 818 = -0*w - w, -480 = 3*o - 3*w. Which is greater: o or j?
o
Suppose 33*l = -105*l - 746 - 496. Which is smaller: l or 164?
l
Suppose 0 = 17*w - 7*w - 120. Let o(i) = i**2 - 4*i + 6. Let q be o(3). Let t be ((-1)/(-2))/(q/84). Which is smaller: t or w?
w
Let m(a) = -3*a - 2. Let l be m(-3). Let g(i) be the first derivative of -3*i**2/2 + 17*i - 1607. Let d be g(l). Are d and 1 nonequal?
True
Let m = 288959/471 - -255841247/61701. Let z = m + -4760. Which is bigger: z or 1?
1
Let q = -12265/18923863 + -2/14819. Let c = 3779/66404 - q. Let p(l) = 5*l**2 - 102*l + 385. Let m be p(5). Which is greater: m or c?
c
Let z be (6134/(-40))/(270/120) - 6/(-10). Which is smaller: z or -67?
z
Let h = 9.12 + -9. Let v = h + -0.02. Let b = -9.98 - -12.08. Which is smaller: v or b?
v
Let a be (-29 + 21)*(130/4 + -2). Let u = a - -245. Which is bigger: -1/545 or u?
u
Let l(x) = -2*x**2 - 146*x + 1659. Let w be l(10). Which is bigger: w or 2/3167?
2/3167
Let f = -36 - -51. Suppose 4*v + f - 31 = 0. Suppose 3*c - 31 = -v*u, 0 = c - 3*c + 4*u + 34. Is c greater than 13?
False
Let m(h) = h**2 - 6*h - 79. Let x be m(10). Let t = -34 - x. Which is smaller: t or 6?
t
Let n = 659909/4 - 165984. Which is greater: n or -1006?
-1006
Let o = -428 + 440. Let p(v) = -v**3 + 14*v**2 - 25*v + 11. Let l be p(o). Are l and -2/59 nonequal?
True
Let o be ((-70)/(-245))/(2/(-42)) + 1336/161. Does o = 3?
False
Suppose -3*h + 3 - 12 = 0. Let b be 19 + (5 - 6) + -9. Let n be 1*b/h - -2. Which is smaller: -3/7 or n?
n
Suppose 3*b - 3*i + 296 = 110, 3*b - i = -178. Is b less than -66?
False
Let u = 1.6 - 18.6. Let b = -18 - u. Let m = 26 - 184/7. Which is greater: b or m?
m
Let x = -166.4 - -138.4. Let d = 3/34 + 47/238. Is d > x?
True
Suppose -134*k + 7038 = -332. Is 394/7 < k?
False
Let m be ((-4490)/(-145) - 16) + (2 - 13). Is -1/3 < m?
True
Let u = -47/18 - -10/9. Suppose -3*k + 5*k + 3*q = -68, -4*q = -5*k - 193. Which is greater: k or u?
u
Let u = 234908/17 - 13816. Let k = 2 + -1. Which is smaller: k or u?
k
Let n be ((-2)/20)/(204/(-20)). Let l = 104894 - 104893. Which is smaller: n or l?
n
Suppose 1224 = -18*g - 10*g - 4488. Is g greater than -202?
False
Let l be ((-31)/62*-5)/(503/(-2)). Is l smaller than 1?
True
Let b be 1382071/2355 + 2/15. Is 587 equal to b?
True
Let o be 10/2 - (-2 + 5). Suppose 5*k + o*x = 78, 3*k - 12 = x + 26. Which is greater: 9 or k?
k
Suppose -4*b - 2*b = -24. Suppose -b*q + 5*v - 5 = 180, 2*q + 4*v = -86. Let y = -0.12 - -1.12. Which is bigger: y or q?
y
Let a = -223 - -235. Suppose 7 - 11 = -2*c - 2*n, -a = -4*n. Which is smaller: -4 or c?
-4
Suppose 18*n - 17*n = 0. Suppose -l + 5*b = -n*b - 14, 3*b + 6 = l. Let x(c) = -c - 9. Let w be x(-2). Is l > w?
True
Let d(q) be the first derivative of q**3/3 - 3*q - 42. Let n be d(-3). Is 7 less than n?
False
Let n = -18807149/251 + 74929. Which is greater: -1 or n?
n
Let q(h) = h**3 - 5*h**2 - 7*h - 6. Let o be q(6). Let r be (-160)/(-300)*4*(3 + -2)*-6. Which is greater: o or r?
o
Let g be (2 - 0) + -1 - (41 + 0). Let y be (-9)/6*g/90. Let u be -1*(-3)/(-6)*-2. Which is smaller: u or y?
y
Let v be 0 - 1*(-3)/3. Let l be (-236)/4130 - (0 + (-2)/10). Are v and l equal?
False
Let s = 281.51 - 283. Let x = 4.51 - s. Is x less than or equal to 23?
True
Let g = -22 - -45. Let d = g - 22.2. Let m = 0.6 - d. Which is smaller: 3/5 or m?
m
Let l = -6312 - -6734. Is l >= -1?
True
Suppose s = -3*s - 1512. Let n be (18/33)/3 + s/990. Which is greater: n or 2?
2
Let n = -1.751 - -1.3. Let d = -383 + 382.9. Is d smaller than n?
False
Let b = -15 + 10. Let s = 113.164 + -0.164. Let c = -113.3 + s. Which is greater: b or c?
c
Let a be 1/(-5) - 3036/2420. Let v(w) = w + 6. Let g be v(-4). Let u be -3*g/12*0. Is a > u?
False
Let k = -31189 - -31188. Which is greater: -33/413 or k?
-33/413
Let t be 10/(-25)*(-331 - 4)*1. Let r = -111 + t. Which is smaller: 24 or r?
r
Suppose 0 = 6*z + 2*m - 4032, 0 = -3*z - 0*m - 4*m + 2007. Do z and 673 have different values?
False
Suppose -5*v - 5 = -5*m, 3*v - 4*v - 1 = 2*m. Let x = 896 + -31352/35. Is m bigger than x?
False
Suppose -429*u + 792 = -357*u. Which is greater: u or 20?
20
Suppose 0 = 7*o + 116 - 3553. Is o bigger than 491?
False
Suppose -17*o - 892373 - 504887 = 363*o. Is o less than -3676?
True
Let r = -50 - -93. Suppose 42*h - 1071 = r*h. Let g be 544/h - 4/(-18). Which is greater: g or 1/29?
1/29
Let q(c) = -12*c + 99*c - 85*c - 10*c + 4. Suppose 10 = -f + 6*f. Let o be q(f). Is -12 greater than o?
False
Suppose a + 42 = 5*s, 42*s - 16 = 4*a + 41*s. Is -92/81 bigger than a?
True
Let a(x) = 3*x - 1. Let w be a(-1). Let y be 1 + w + -6 + 10. Suppose -2 = -4*d + 6. Do d and y have the same value?
False
Suppose -2*s - 161*i + 166 = -157*i, 9*i + 415 = 5*s. Which is smaller: s or 65?
65
Let f(r) = -3*r - 2. Let z be f(-4). Suppose -5*y = -5*h - 95, -30*h = -2*y - 32*h + 2. Is y greater than or equal to z?
True
Let d = -14 - -10. Let y be d/(80/116) - -3. Suppose -5*u - 6 = 3*f, -3*u + 26 = -3*f + 20. Do y and f have the same value?
False
Let o = -16903/29 - -583. Let p(m) be the third derivative of -m**6/120 - m**5/60 + m**4/12 - m**3/6 + 2*m**2. Let b be p(1). Which is greater: o or b?
o
Let f = 6.76 + -799.82. Let o = 776 + f. Let p = 0.06 + o. Is -1 less than p?
False
Let k = -109 - -61. Let f = 70 + k. Suppose 3*n + 4*q - q = 9, 0 = 4*q - 16. Which is greater: n or f?
f
Let k(h) = -9*h**3 + 55*h**2 - 6*h + 1. Let q be k(6). Let g = -0.19 - -0.28. Let w = g + -0.02. Which is greater: q or w?
q
Let z = -16503 - -16500.3342. Let f = 0.0342 - z. Is f != -1/4?
True
Let u be (12 + -102)/(-18)*(0 + -1 - -50). Which is smaller: 1706/7 or u?
1706/7
Suppose -y - 4*u = -8*u + 34, -5*y = -2*u + 206. Let h be (-8)/(56/35) - y. Which is greater: 33 or h?
h
Let t be ((-465)/124)/(3/(-64)). Let c = -111 + t. Is -31 at least c?
True
Suppose -d = -4*q + 17, 4*d - 46 = -5*q - 156. Suppose 29*h - 24*h = -145. Is d smaller than h?
False
Let s be -1*10 + 3 + -2. Let g = s - -3. Let o be (2*(-115)/30 - -9)*(-5 - -2). Is g at least o?
False
Let q be (1944/(-45))/(-9)*1370/92. Which is bigger: q or 71?
q
Suppose 5*m + 3 = -2, -3*m = 5*f - 7. Let o be 3/((-3)/f) - (-18)/9. Is o at least as big as -1/161?
True
Let s be (0/(-2))/(158/79). Which is smaller: s or 6/625?
s
Let n(r) = -r**2 + 30*r - 38. Let w be n(4). Is w less than 129/2?
False
Let v = -243 + 403. Let a be -30*8*8/v. Is a less than -15?
False
Let s(k) = 175*k - 3230. Let m be s(-4). Which is smaller: -3929 or m?
m
Suppose 3*y + 48 = 7*y. Let p be (2/4*-2)/(y + -9). Let w = p - 1/15. Which is smaller: w or -1?
-1
Suppose 20*a - 19*a + 5*i = -13, 2*i + 2 = -2*a. Let x = 12 - 7. Let c = 5 + x. Is a <= c?
True
Let t = 74 - 70. Suppose -4*m = 2*v + 38, v = -t*m + 3 - 32. Which is greater: v or -7?
-7
Let y(t) = -t**3 - 6*t**2 + 29*t + 20. Let z be y(-9). Suppose 0 = -z*f - 2, 14 + 13 = -4*l + f. Let h be 139/(-20) + (-2)/8. Is h at most l?
True
Let s be -25*(5 + -6) + -5. Suppose 4*w = s, -5*w + 30 = 5*c + 5. Are c and 3/38 nonequal?
True
Let p(q) = q**2 + 14*q + 134. Let m be p(-6). Suppose -z + 37 = -50. Which is greater: m or z?
z
Suppose x + | {
"pile_set_name": "DM Mathematics"
} |
6000
What is 0.00083851 rounded to five decimal places?
0.00084
What is -0.001543245 rounded to 4 decimal places?
-0.0015
Round -0.26009 to three decimal places.
-0.26
Round -0.00034061 to four dps.
-0.0003
Round -11072.64 to the nearest 10.
-11070
Round 184.50477 to one decimal place.
184.5
Round 0.014009853 to 4 dps.
0.014
What is 0.638986 rounded to 3 dps?
0.639
Round -0.045287429 to three dps.
-0.045
What is 0.0000658118 rounded to seven decimal places?
0.0000658
Round -132394.13 to the nearest 10000.
-130000
What is 0.0006504206 rounded to 4 decimal places?
0.0007
What is -0.0195216 rounded to four dps?
-0.0195
Round -0.00002569 to five decimal places.
-0.00003
Round 0.0184504 to 3 dps.
0.018
What is -0.1525849 rounded to 2 dps?
-0.15
What is 33214.4 rounded to the nearest one thousand?
33000
Round -4.3584 to 1 dp.
-4.4
Round -0.000042725 to 5 decimal places.
-0.00004
Round 0.003679405 to 5 dps.
0.00368
Round 0.1904023 to two decimal places.
0.19
Round -2.196808 to one decimal place.
-2.2
What is 348525.3 rounded to the nearest one thousand?
349000
Round -0.06325852 to three dps.
-0.063
What is 0.00015957028 rounded to 7 dps?
0.0001596
What is -1.409377 rounded to 2 decimal places?
-1.41
Round 0.008279515 to 4 decimal places.
0.0083
Round -43600900 to the nearest one hundred thousand.
-43600000
Round -0.87323 to one decimal place.
-0.9
What is -0.3030414 rounded to three decimal places?
-0.303
Round -0.00001172562 to six decimal places.
-0.000012
What is 3.640655 rounded to 3 decimal places?
3.641
What is 0.00000784561 rounded to 6 dps?
0.000008
What is -0.12226081 rounded to 4 decimal places?
-0.1223
Round 0.00046729061 to six decimal places.
0.000467
What is 0.797143 rounded to one decimal place?
0.8
What is 1300.9293 rounded to zero decimal places?
1301
Round -0.000065674 to 6 decimal places.
-0.000066
What is -1.464825 rounded to 2 decimal places?
-1.46
Round -170248300 to the nearest 1000000.
-170000000
Round -0.000003601575 to 7 dps.
-0.0000036
Round -0.546297 to three decimal places.
-0.546
Round 691461790 to the nearest 1000000.
691000000
What is 322137 rounded to the nearest ten thousand?
320000
What is -0.01924732 rounded to four decimal places?
-0.0192
What is -11.08105 rounded to the nearest integer?
-11
What is -0.000324164 rounded to six dps?
-0.000324
What is 656816 rounded to the nearest 10000?
660000
What is -38.71321 rounded to the nearest ten?
-40
Round 6362.22 to the nearest 10.
6360
Round 1.964875 to one decimal place.
2
What is 0.0037102172 rounded to 4 dps?
0.0037
What is 1.5741822 rounded to two decimal places?
1.57
Round -34359390 to the nearest one million.
-34000000
What is 18.753559 rounded to the nearest integer?
19
Round 287.775 to zero dps.
288
What is -1.119328 rounded to one decimal place?
-1.1
Round 0.00003946508 to 6 dps.
0.000039
What is -2741850 rounded to the nearest 100000?
-2700000
What is 0.004054168 rounded to four dps?
0.0041
Round 3263594 to the nearest one thousand.
3264000
What is 91869.8 rounded to the nearest 100?
91900
Round -0.0006242011 to four dps.
-0.0006
Round -0.0002331 to 3 dps.
0
Round -2818.6388 to the nearest 100.
-2800
What is 0.0895217 rounded to three decimal places?
0.09
What is 0.00002020758 rounded to 6 decimal places?
0.00002
Round -9.90509 to zero decimal places.
-10
Round -828804 to the nearest one hundred thousand.
-800000
Round 0.042345217 to 4 decimal places.
0.0423
Round 584159 to the nearest 100000.
600000
What is -0.00002212269 rounded to 7 dps?
-0.0000221
Round 149701.7 to the nearest ten thousand.
150000
What is 0.00004362255 rounded to 5 decimal places?
0.00004
Round -0.0001241755 to seven dps.
-0.0001242
What is 24.905604 rounded to one dp?
24.9
Round 0.0002373054 to 7 dps.
0.0002373
What is -14247.863 rounded to the nearest 1000?
-14000
Round 821.8098 to the nearest integer.
822
What is -0.00001882833 rounded to six decimal places?
-0.000019
What is 0.0007900707 rounded to 7 dps?
0.0007901
What is 553147 rounded to the nearest 1000?
553000
Round 27393110 to the nearest 10000.
27390000
Round 0.155018 to three decimal places.
0.155
What is 10.2017 rounded to one dp?
10.2
Round -125365000 to the nearest one hundred thousand.
-125400000
Round 10316800 to the nearest one million.
10000000
What is -0.00626724 rounded to three decimal places?
-0.006
Round -1117289000 to the nearest 1000000.
-1117000000
Round -4.289136 to 2 dps.
-4.29
What is -17.88497 rounded to the nearest integer?
-18
Round -1.9821829 to 1 dp.
-2
Round -0.0013171557 to 5 decimal places.
-0.00132
What is -3.08434 rounded to two dps?
-3.08
Round -3082817.5 to the nearest ten thousand.
-3080000
Round -0.0305606 to 4 decimal places.
-0.0306
Round -18.054967 to the nearest integer.
-18
What is 0.0000005554142 rounded to 7 dps?
0.0000006
Round -11040.45 to the nearest ten.
-11040
What is -0.0000392417 rounded to 7 decimal places?
-0.0000392
What is 24.45375 rounded to one dp?
24.5
Round 0.000012202593 to seven decimal places.
0.0000122
What is 2025630 rounded to the nearest ten thousand?
2030000
Round -25.57372 to 1 decimal place.
-25.6
Round 0.91858 to two dps.
0.92
What is -582.253 rounded to the nearest integer?
-582
Round 250.9848 to the nearest integer.
251
Round -171883900 to the nearest 1000000.
-172000000
What is -9698670 rounded to the nearest one million?
-10000000
What is 0.00003012606 rounded to six dps?
0.00003
Round -118.9428 to one decimal place.
-118.9
What is 250.702 rounded to one dp?
250.7
What is 0.00011239819 rounded to seven dps?
0.0001124
What is 0.0000368044 rounded to five decimal places?
0.00004
Round 1.418711 to 3 dps.
1.419
What is 0.0245085 rounded to four dps?
0.0245
What is -331.18 rounded to the nearest one hundred?
-300
What is -1183674.4 rounded to the nearest one hundred thousand?
-1200000
What is 13.620811 rounded to one dp?
13.6
What is -1386853.48 rounded to the nearest ten thousand?
-1390000
What is -0.03359 rounded to one dp?
0
What is 44674460 rounded to the nearest 1000000?
45000000
What is 945.54 rounded to the nearest ten?
950
Round -0.0011212535 to five decimal places.
-0.00112
Round -21.111 to zero decimal places.
-21
What is 92955.7 rounded to the nearest one thousand?
93000
What is 0.000000356216 rounded to seven dps?
0.0000004
What is 1.549438 rounded to two dps?
1.55
Round 128974.2 to the nearest one thousand.
129000
What is 39.95503 rounded to the nearest integer?
40
What is -9.553887 rounded to 2 decimal places?
-9.55
Round -0.00817874 to 3 dps.
-0.008
Round 0.0000047624447 to six dps.
0.000005
Round -3.778974 to 2 decimal places.
-3.78
What is 81135 rounded to the nearest 10000?
80000
Round -8693911 to the nearest 1000.
-8694000
What is -2498478 rounded to the nearest 1000000?
-2000000
Round -15750.8 to the nearest 100.
-15800
Round -0.000006727207 to six decimal places.
-0.000007
What is -81.05 rounded to the nearest 10?
-80
What is -0.00002618169 rounded to 7 decimal places?
-0.0000262
What is -375.16 rounded to the nearest 10?
-380
What is -0.059283688 rounded to 4 decimal places?
-0.0593
What is -39.1577 rounded to zero decimal places?
-39
What is 20.214 rounded to two decimal places?
20.21
Round 8330.734 to the nearest 100.
8300
Round 0.159966 to three dps.
0.16
What is -0.0061141 rounded to three dps?
-0.006
What is -181245550 rounded to the nearest one million?
-181000000
What is -0.00000088082 rounded to seven decimal places?
-0.0000009
What is 1761.2701 rounded to the nearest integer?
1761
What is -1701.499 rounded to the nearest 100?
-1700
Round -0.0005993486 to 5 decimal places.
-0.0006
What is 0.00003391 rounded to four dps?
0
Round 0.000585132 to 5 dps.
0.00059
What is 0.31042893 rounded to three decimal places?
0.31
What is -0.000004919847 rounded to six dps?
-0.000005
What is -101.8873 rounded to one decimal place?
-101.9
What is 2398.79 rounded to the nearest integer?
2399
What is -122.0894 rounded to the nearest 10?
-120
Round 1263.067 to zero dps.
1263
What is 0.00036287634 rounded to 5 decimal places?
0.00036
Round -0.000001057747 to seven decimal places.
-0.0000011
What is -108661760 rounded to the nearest one hundred thousand?
-108700000
What is 1361.1742 rounded to the nearest integer?
1361
What is 2807559.8 rounded to the ne | {
"pile_set_name": "DM Mathematics"
} |
= 36. Let c(v) = -4*v + 7. Calculate j*r(s) + u*c(s).
2*s + 1
Let w(j) = -6*j**2 + 33*j - 31. Let s(c) = c**2 + c + 6. Calculate -5*s(v) - w(v).
v**2 - 38*v + 1
Let c(g) = -9*g + 5 - 7 + 3 - 3 - 27*g**2 + 11. Let b(h) = 13*h**2 + 4*h - 4. Calculate -9*b(i) - 4*c(i).
-9*i**2
Let f(u) = u**3 - u**2 + u + 1. Let z = 5570 + -5572. Let a(p) = 4*p**3 - 2*p**2 + 2*p - 11. Give z*f(w) + a(w).
2*w**3 - 13
Let x(y) = 37*y + 4. Let f(j) = 0 - 2 + 2*j + 3 + 10*j. Let l(p) = -2*p**2 + 4*p + 128. Let d be l(-7). Give d*x(a) - 7*f(a).
-10*a + 1
Let a(q) be the first derivative of -q**3/3 + q**2/2 + q - 3629. Let l(y) = -5*y**2 - 30*y + 7. What is 6*a(s) - l(s)?
-s**2 + 36*s - 1
Let n(h) = -31*h**3 + 5*h**2 - 5*h - 5. Let i be 1/(-3)*(29 + -17 + -105). Let m(y) = -186*y**3 + 31*y**2 - 31*y - 31. Give i*n(r) - 5*m(r).
-31*r**3
Suppose -21*c + 103 = 8*c - 100. Let y(a) = 2*a + 12. Let m(r) = -r - 6. Calculate c*m(j) + 4*y(j).
j + 6
Let w(f) = 11*f + 6. Let d(a) = -22*a - 12. Give -3*d(u) - 5*w(u).
11*u + 6
Let v(o) = -9*o**2 - 9*o - 7. Let w(l) = -13*l**2 - 13*l - 10. Let n(u) = 8*u**2 - 29*u - 30. Let i be n(-1). Calculate i*v(k) - 5*w(k).
2*k**2 + 2*k + 1
Let s(x) = 44*x**2 + 13*x - 4. Let o(n) = -9*n**2 - 2*n. What is 4*o(t) + s(t)?
8*t**2 + 5*t - 4
Let t = 157 + -120. Let k = 33 - t. Let r(z) = 2*z**2 - 2*z + 5. Let p(o) = 2*o - 45 - o + 41 - 2*o**2. What is k*r(f) - 5*p(f)?
2*f**2 + 3*f
Let s(u) = 11*u**2 - u + 4. Let w(v) = -8*v**2 - 2*v - 5. Give 2*s(a) + 3*w(a).
-2*a**2 - 8*a - 7
Let x(y) = -289*y**2 - 4*y. Let v(r) = -283*r**2 - 3*r. What is 7*v(k) - 6*x(k)?
-247*k**2 + 3*k
Let k(s) = 3*s**3 - 6*s**2 - s - 6. Let f(d) = 0 + 0 + 10*d**2 - 11*d**2 - 1 + d**3. Let g(m) = m**2 - 39*m - 120. Let x be g(42). Give x*f(c) - k(c).
3*c**3 + c
Let j(d) = -3493*d**3 - 4*d - 96. Let x(t) = 6986*t**3 + 7*t + 168. Calculate -7*j(y) - 4*x(y).
-3493*y**3
Let m be (9/(-4))/((-3)/12). Suppose y = -4*q + 12, 101*q = 97*q + 4*y - 8. Let i(l) = 4*l + 2*l - 4*l**2 - 2*l. Let c(d) = d**2 - d. What is m*c(p) + q*i(p)?
p**2 - p
Let y(f) = 1224 + 24*f - 5*f - 2426 + 1207. Let d(j) = -20*j - 6. What is 5*d(h) + 6*y(h)?
14*h
Let f(n) = -n**2. Let q(d) = -1 - 1 + 0 + d + 4 - 2*d**2. Let y(b) = 144*b + 863. Let l be y(-6). What is l*q(a) + 5*f(a)?
-3*a**2 - a - 2
Let z(a) = 771*a**2 - a - 2. Let q(m) = -386*m**2 + m + 1. What is -5*q(r) - 3*z(r)?
-383*r**2 - 2*r + 1
Let i(c) = -3*c**3 + c. Let h be i(-1). Let l(m) = h - 4*m - 17*m + 11. Let d(t) = -150 + 10*t + 545 - 251 - 150. Give 13*d(v) + 6*l(v).
4*v
Let y(j) = -26*j**3 - 5*j. Let d(w) be the second derivative of -27*w**5/20 - 2*w**3/3 + 1494*w. Determine 5*d(f) - 4*y(f).
-31*f**3
Let d = 872 + -869. Suppose -d*k = -66 + 48. Let n(j) = 2*j**3 - 5*j**2 + 4*j + 6. Let y(u) = -6*u**3 + 14*u**2 - 11*u - 17. What is k*y(t) + 17*n(t)?
-2*t**3 - t**2 + 2*t
Let v(k) = 126*k + 17. Let b(p) = -501*p - 75. Determine -4*b(a) - 18*v(a).
-264*a - 6
Let u(t) = -245*t**3 - 305*t**2 - 1. Let s(d) = -19*d**3. What is 26*s(b) - 2*u(b)?
-4*b**3 + 610*b**2 + 2
Let s(k) be the second derivative of -k**5/20 + k**4/3 - k**3/6 + k**2 - 477*k + 3. Let g(a) = -4*a**3 + 16*a**2 - 4*a + 9. Give -2*g(u) + 9*s(u).
-u**3 + 4*u**2 - u
Let f(s) = 7*s**2 + 7*s + 2. Let g(i) = 1335*i**2 + 1335*i + 525. Let h(t) = 111*t**2 + 111*t + 44. Let o(x) = -3*g(x) + 35*h(x). Determine -35*f(j) - 2*o(j).
-5*j**2 - 5*j
Let r(u) = 1232*u - 52. Let q(s) = s - 11. What is 5*q(a) - r(a)?
-1227*a - 3
Let a(s) = -10*s - 120. Let d(j) = 41*j + 481. Determine -9*a(k) - 2*d(k).
8*k + 118
Let f(k) = 6*k**2 - 39*k - 5. Let m(z) = -17*z**2 + 102*z + 14. What is 8*f(r) + 3*m(r)?
-3*r**2 - 6*r + 2
Let p(l) be the second derivative of l**4/6 + 3*l**2/2 - l. Suppose -2*b = -3*b + 5*y - 8, 3*b + 3*y = 30. Let q(m) = -5*m**2 - 7. Calculate b*p(c) + 3*q(c).
-c**2
Suppose -3*v - 17 = u, u + u = -3*v - 16. Let q(l) = l. Let n(k) = 11*k + 61 - 160 + 99. Calculate v*q(o) + n(o).
5*o
Let p be ((-3)/(-5))/((-38)/(-380)). Let k(h) = 26 - 27 + h**2 - 2*h**2. Let i be (2 + -3)/(-1) + -2. Let j(s) = -8*s**2 - 8. Determine i*j(n) + p*k(n).
2*n**2 + 2
Let u(o) = -2. Let q(x) = -3. Let b(a) = 5*q(a) - 7*u(a). Let t(k) = -3*k + 13. Let i(m) = -3*m + 11. Let w(r) = -4*i(r) + 3*t(r). Determine 5*b(f) - w(f).
-3*f
Let a(n) = -4*n - 70. Let v = -692 + 687. Let g(s) = 3*s + 47. What is v*a(h) - 7*g(h)?
-h + 21
Let l(i) = -33*i**3 - 72*i**2 - 10*i - 151. Let f(p) = 7*p**3 + 15*p**2 + 2*p + 30. What is -19*f(j) - 4*l(j)?
-j**3 + 3*j**2 + 2*j + 34
Let l(m) = m - 1. Let o = 3239 + -3243. Let d(q) = -14*q - 4. What is o*l(w) + d(w)?
-18*w
Let q(d) = -7*d**3 + 3*d - 2. Let l(a) = -82*a + 47. Let t(o) = -35*o + 20. Let k(n) = 3*l(n) - 7*t(n). Calculate -2*k(f) - q(f).
7*f**3 - f
Let s(j) = -2 - 5*j - 5*j + 35*j + 2*j + 8*j. Let k(a) = 69*a - 5. Calculate 2*k(y) - 5*s(y).
-37*y
Let a = -2589 - -2575. Let s(w) = 10*w**2 + 24*w - 4. Let k(x) be the second derivative of -x**4/6 - 5*x**3/6 + x**2/2 + 6*x. Give a*k(c) - 3*s(c).
-2*c**2 - 2*c - 2
Let j(k) = 36*k - 26 - 5*k - 14*k - 9*k - 6*k. Let o(c) = 1. Calculate -j(q) - o(q).
-2*q + 25
Let z(h) = 9676*h**2 + 451. Let i = 11305 - 11303. Let n(s) = -43*s**2 - 2. Give i*z(u) + 451*n(u).
-41*u**2
Let g(z) = 76*z**3 + 28*z**2 - 96*z - 4. Let c(y) = -35*y**3 - 13*y**2 + 47*y + 2. Give -13*c(h) - 6*g(h).
-h**3 + h**2 - 35*h - 2
Let d(s) = 8*s**3 + s - 2. Let q = -9 - -3. Let g = -163 + 167. Let f(m) = -g + 10*m**3 - 1212*m + 1214*m + 5*m**3 + 0*m**3. Determine q*f(r) + 11*d(r).
-2*r**3 - r + 2
Let b be (-23 + 18)/((-5)/3) - 0. Let t(i) be the second derivative of -5*i**4/12 + i**3/2 - i**2 - 19*i. Let m(r) = 6*r**2 - 4*r + 2. Give b*m(p) + 4*t(p).
-2*p**2 - 2
Let j = -1 - 0. Suppose 5*z + 3*q = 300, -41*q - 60 = -z - 43*q. Let p(m) = -7*m - 51 + 104 - z. Let h(k) = -k - 1. What is j*p(r) + 5*h(r)?
2*r + 2
Let z(f) = -f. Let t(p) = -2*p**3 + 8*p**2 + 23*p - 22. Let x be t(9). Let g be 1*4/(-5) - (-125)/x. Let w(i) = 8*i**2 - 8*i. Calculate g*w(h) + 8*z(h).
-8*h**2
Let t(k) = -468*k**3 + 42*k**2 + 42*k + 42. Let y(i) = 4*i**2 - 62*i + 72. Let x be y(15). Let u(n) = 55*n**3 - 5*n**2 - 5*n - 5. What is x*u(q) + 5*t(q)?
-30*q**3
Let d(z) = -1207*z. Let c(s) = 3625*s. Give -4*c(x) - 11*d(x).
-1223*x
Let d(c) = -14*c - 92. Let r(n) = -37*n - 277. Give 11*d(k) - 4*r(k).
-6*k + 96
Let n(i) = 6*i**3 - 2*i**2 - 563*i - 11. Let p(g) = -13*g**3 + 4*g**2 + 1124*g + 25. Determine 9*n(j) + 4*p(j).
2*j**3 - 2*j**2 - 571*j + 1
Let z(m) = 1. Let a(t) = -2*t**2 + 2*t - 2. Let j be (-24)/16*(90/27)/5. Give j*a(s) - 3*z(s).
2*s**2 - 2*s - 1
Let t(d) = -d**2 - 17*d - 45. Let z be t(-14). Let n(u) = 2*u - 4. Let p(o) = -4*o + 9. Determine z*p(h) - 7*n(h).
-2*h + 1
Let j(d) = -d**3 - 9*d**2 - 22*d - 57. Let t be j(-7). Let n(u) = 3*u + 5. Let l(o) = 1. Determine t*n(y) + 3*l(y).
-3*y - 2
Suppose -16 = -4*w, 0 = 2*x + x + 2*w - 32. Let n be x/(-28) + (36/14)/2. Let g(j) = 3*j**2 - j + 2. Let m(f) = -f**2 - f. Give n*g(h) + 2*m(h).
h**2 - 3*h + 2
Let k(v) = v + 17. Let f(n) be the second derivative of 9*n**2/2 + 1757*n. Calculate 7*f(d) - 4*k(d).
-4*d - 5
Let m(u) = -19*u + 87. Let q(p) = -9*p + 45. Determine 4*m(z) - 9*q(z).
5*z - 57
Let f(p) = 8*p**2 - 3*p - 3. Let w = -2850 - -2845. Let g = 4 + -7. Let t(l) = -15*l**2 + 5*l + 5. Give g*t(y) + w*f(y).
5*y**2
Suppose 12191 = -4*q + 12167. Let m(x) = 3*x**2 + 26*x. Let c(s) = s**2 + 9*s. What is q*m(h) + 17*c(h)?
-h**2 - 3*h
Let s(z) = 26*z**2 - 14. Let m(w) = -1. Suppose -18622 + 18118 = -42*d. What is d*m(v) - s(v)?
-26*v**2 + 2
Let p(a) = -7*a**3 - 5*a + 4. Let v = -7309 - -7304. Let n(l) = 8*l**3 + 6*l - 5. Determine v*n(t) - 6*p(t).
2*t**3 + 1
Let x(h) = -22*h**2 - 7. Let m(n) = -11*n**2 - 170*n - 3. Let d(o) = 17*o. Let v(j) = 10*d(j) + m(j). Determine -7*v(z) + 3*x(z).
11*z**2
Let a(o) = o**2 + o - 1. Suppose 0 = -4*v + 5*b - 7, b = 10*v - 6*v + 11. Let t(p) = -2*p**3 - 3*p**2 - 7*p + 3. Give v*a(u) - t(u).
2*u**3 + 4*u
Let j(a) = 3*a**3 - 2*a - 2. Let v(x) = 29*x**3 - 10*x - 135. Determine -5*j(r) + v(r).
14*r**3 - 125
Let n(k) = -4975*k + 204. Let x(y) = -3731*y + 157. Give -10*n(m) + 13*x(m).
1247*m + 1
Let z(n) = -3*n**3 - 32*n**2 - 10*n - 6. Let v(u) = u**3 + 33*u**2 + 12*u + 8. Calculate -3*v(o) - 4*z(o).
9*o**3 + 29*o**2 + 4*o
Let d(z) = | {
"pile_set_name": "DM Mathematics"
} |
t(324) - sqrt(324)*2 - sqrt(324) - sqrt(4))).
0
Simplify (-3*4*sqrt(396) - (-1 + (sqrt(396) - 2*sqrt(396))))**2.
-132*sqrt(11) + 47917
Simplify 5 + (2 + sqrt(56)/sqrt(8) - (-3 + sqrt(567)))**2.
-80*sqrt(7) + 478
Simplify (sqrt(343) + sqrt(343)*2 + 5 - (sqrt(343) + sqrt(343) + 2 + -5))**2 + -4.
112*sqrt(7) + 403
Simplify (1 + sqrt(17) + sqrt(17) + -2)*-3 - ((sqrt(833) + 0)*-5)**2.
-20822 - 6*sqrt(17)
Simplify 3*(2 + sqrt(28)/sqrt(4) + (sqrt(700) - (-1 + sqrt(700)))**2 + 3 + sqrt(175) + 0).
18 + 18*sqrt(7)
Simplify (-6*(sqrt(119) + -4*2*sqrt(119) + sqrt(119)))/(-4*1*sqrt(448)).
-9*sqrt(17)/8
Simplify (sqrt(76) + (sqrt(76) - (5*(sqrt(76) + 1*sqrt(76)) + sqrt(76)) - sqrt(76)) - (sqrt(76) + 1*sqrt(76)*-6))/((sqrt(4) - sqrt(100)*1) + sqrt(4)*2*1).
5*sqrt(19)/2
Simplify (-6*sqrt(300)/sqrt(6))/(sqrt(10) - (sqrt(10) + (sqrt(640) - sqrt(640)*3))).
-3*sqrt(5)/8
Simplify (-4 + ((sqrt(90)/sqrt(3))/sqrt(10) - sqrt(48)*2 - sqrt(432)*-4))**2.
-328*sqrt(3) + 5059
Simplify ((sqrt(144)/sqrt(4))/sqrt(6) + sqrt(6))/(sqrt(98) + sqrt(98)*1)*-5*6.
-30*sqrt(3)/7
Simplify (1 + sqrt(1584))**2 + 3 + 4 + (sqrt(22)/sqrt(2)*-2)**2.
24*sqrt(11) + 1636
Simplify ((2*-1*sqrt(272))**2 - (-5 + sqrt(272) + 1 + sqrt(272))**2) + -1*4*((1*sqrt(272))**2 - sqrt(272)).
-1104 + 80*sqrt(17)
Simplify -3*(sqrt(125) + -6*(sqrt(125)*2 + sqrt(125)) - sqrt(125) - (-1 + 2*sqrt(125)))**2 + -1.
-150004 + 600*sqrt(5)
Simplify 5 + -3 + (sqrt(30)/(sqrt(1000) - (sqrt(1000) + sqrt(1000)*2) - sqrt(10)))**2.
295/147
Simplify (-2*((-3*sqrt(931) + sqrt(931) + -2)*2 + -3))**2.
1568*sqrt(19) + 59780
Simplify ((sqrt(80) + -1*sqrt(80) + 4)*-1)**2*2*4.
128
Simplify ((sqrt(84) - -2*(sqrt(84) + -2*sqrt(84) - sqrt(84) - sqrt(84))) + sqrt(84) - (sqrt(84) + -4*(2*sqrt(84) - sqrt(84))))/((5*sqrt(3)*-2 + sqrt(3))*6).
sqrt(7)/27
Simplify (-4 + (-1 + sqrt(684)*3)**2 + -4)*-6.
-36894 + 216*sqrt(19)
Simplify 4 + (sqrt(104) + (sqrt(104)*-1 - sqrt(104))*-5)/(5*sqrt(128) + sqrt(8))*6.
4 + 22*sqrt(13)/7
Simplify ((-1 + 3*sqrt(180) + 0)**2 + -4)*-2.
-3234 + 72*sqrt(5)
Simplify 4 + 5 + 4*(sqrt(704) - sqrt(704)*-2)**2.
25353
Simplify (-2 + 5 + ((-1*sqrt(21) - sqrt(21))*-3)/sqrt(3))*3 + 0.
9 + 18*sqrt(7)
Simplify -2*((sqrt(140)/((sqrt(810)*-2 - sqrt(810)) + sqrt(810) - sqrt(810) - sqrt(810)))/(3*-1*sqrt(98) - sqrt(98)))**2.
-1/72576
Simplify 5 + -1 + (sqrt(720) + sqrt(720) + sqrt(720) + sqrt(720) + 2*sqrt(720) + -4 - ((-2 + sqrt(720))*-2 - sqrt(720)))**2.
-1728*sqrt(5) + 58388
Simplify 1 + (sqrt(384) + sqrt(384) + sqrt(384) + (sqrt(384) + -1*sqrt(384))*1)/((sqrt(2200) + -2*sqrt(2200) - sqrt(2200))/sqrt(11)).
-6*sqrt(3)/5 + 1
Simplify 4 + ((sqrt(200)*1*5 + 3)*3)**2.
2700*sqrt(2) + 45085
Simplify ((-3 + sqrt(1900) + 2*sqrt(1900) - sqrt(1900))**2 + 4 + 5)*4.
-480*sqrt(19) + 30472
Simplify sqrt(35)/(-1*sqrt(7))*-4 - (sqrt(720) - -3*(sqrt(720)*2)**2).
-8640 - 8*sqrt(5)
Simplify -3*(((sqrt(88)*-2)/sqrt(4))/sqrt(11) + (sqrt(6)/sqrt(3) + -5)*-3)**2.
-825 + 450*sqrt(2)
Simplify (sqrt(242)*-2 + 4 - 3*(sqrt(242) + -4*sqrt(242) + sqrt(242)))**2.
352*sqrt(2) + 3888
Simplify -4 + (0 + sqrt(425) + 3 + sqrt(425) + (-1*(1 + sqrt(425)) - sqrt(425)) + sqrt(425))**2.
20*sqrt(17) + 425
Simplify (((sqrt(51) - sqrt(1275))*-4)/sqrt(3) - (sqrt(153) + 4 + -2 + sqrt(153)))**2.
-40*sqrt(17) + 1704
Simplify ((sqrt(250) + sqrt(250)*1)*3)/(sqrt(20)/(-1*sqrt(196))).
-210*sqrt(2)
Simplify (-6*(-4 + sqrt(320)*2 + sqrt(320)*-1 + sqrt(320) + -3)*5)**2.
-201600*sqrt(5) + 1196100
Simplify (-2*(sqrt(78) + (sqrt(78)*2 + sqrt(78) - sqrt(78) - sqrt(78))*2)/(sqrt(144)/sqrt(6)))**2.
117
Simplify (2*(0 + (sqrt(468) - (-1 + sqrt(468)))*1 + 0)*-6)**2.
144
Simplify (sqrt(42)*-4*-3)/(sqrt(6) + (sqrt(36)/(sqrt(24)/sqrt(4)) - sqrt(6))).
12*sqrt(7)
Simplify (-1*sqrt(19)*-5 + sqrt(19))*4 + (-2*sqrt(19)*-2)**2 + -4.
24*sqrt(19) + 300
Simplify ((sqrt(75) + -3)*4)**2 + 2 + (sqrt(75) + sqrt(75) + 2)**2.
-440*sqrt(3) + 1650
Simplify sqrt(2) - sqrt(4)/(2*sqrt(2) - sqrt(2)) - (5 + 1 + sqrt(2)) - (sqrt(8)*3*-6)**2.
-2598 - sqrt(2)
Simplify (-5*(4 + -3 + sqrt(33)/sqrt(27) + 1)*-2)**2.
400*sqrt(11)/3 + 4700/9
Simplify (sqrt(48)/(-4*sqrt(12)))/(-1*sqrt(162)).
sqrt(2)/36
Simplify -5*((1*sqrt(36)/sqrt(3))/(sqrt(196)*4))**2.
-15/784
Simplify ((-6*3*(3 + sqrt(325))*-4 + 1)*-6)**2.
5624640*sqrt(13) + 62348004
Simplify 3 + (-5 + -4 + 0 + sqrt(891) + (-4 + sqrt(891)*-2 - (1*sqrt(891) + 0)))**2.
468*sqrt(11) + 3736
Simplify (-2 + sqrt(432))**2 + (-2 + sqrt(3) - sqrt(3))**2 + -4 - (-1 + (sqrt(243) + 1)**2).
-66*sqrt(3) + 193
Simplify (((sqrt(12)*2*6 - sqrt(12))*-4)/(sqrt(256) - (3*sqrt(256) - sqrt(256))*2))**2.
121/12
Simplify (sqrt(63)/sqrt(36) + 1)*-3 - (sqrt(7) + -2 + 0 + 6*sqrt(28)).
-29*sqrt(7)/2 - 1
Simplify (5*sqrt(12) + -3 - (-1*(sqrt(3) + 0) + 5)) + -3 + -1.
-12 + 11*sqrt(3)
Simplify (-1*(0 + -1*sqrt(1300) - (sqrt(1300)*1 + sqrt(1300) + -3)))**2.
-180*sqrt(13) + 11709
Simplify (5 + 6*(sqrt(125) + 0) + -6*(-5*sqrt(20) + -4))**2.
5220*sqrt(5) + 41341
Simplify ((sqrt(1584)*3)**2 - (sqrt(11) + sqrt(1100) + (sqrt(1100) - -3*sqrt(1100)))) + 0.
-51*sqrt(11) + 14256
Simplify ((sqrt(132) + (sqrt(132) - -1*(sqrt(132) + -2*sqrt(132))) + sqrt(132))/sqrt(12) + (sqrt(11) - sqrt(55)/sqrt(5)*1)*6)**2*-5.
-220
Simplify (5*((6*(sqrt(143)*2 - sqrt(143) - sqrt(143) - sqrt(143)) - sqrt(143)) + sqrt(143) - sqrt(143)))/(2*sqrt(11)*-2 + sqrt(44)/(sqrt(4) - 2*sqrt(4))).
7*sqrt(13)
Simplify (((sqrt(12)*2)/sqrt(2) - (sqrt(96)*-3 - sqrt(6)))/((-1*sqrt(432) + sqrt(432) - sqrt(432))*-3))**2.
25/72
Simplify 4 + (sqrt(432) + (1*sqrt(432) - sqrt(432)) + 0)**2.
436
Simplify -5 + 0 + (sqrt(99)/(sqrt(729)*-3)*6)**2.
-361/81
Simplify (-6*(sqrt(243) - (1*sqrt(243) - sqrt(243))) - sqrt(243))/((sqrt(1296) - sqrt(1296)*-3)*-2 - sqrt(1296)).
7*sqrt(3)/36
Simplify (-1*-2*sqrt(95)*-2)/(sqrt(320) - 1*sqrt(320) - (sqrt(5) + (sqrt(60) + (sqrt(120)/sqrt(2) + sqrt(60) - sqrt(60)))/sqrt(12))).
4*sqrt(19)/3
Simplify (4*1*sqrt(5445) - sqrt(5445) - sqrt(5445))/(5*(sqrt(9) - 6*sqrt(36)))*2.
-4*sqrt(5)/5
Simplify 5*(2*3*sqrt(209))/(sqrt(88)/(sqrt(8) + sqrt(80)/sqrt(10))).
60*sqrt(19)
Simplify ((2*sqrt(136)*-3 - sqrt(136)) + (sqrt(136) + sqrt(136) + 1*sqrt(136))*-3)/(sqrt(48)/(-2*sqrt(6)*2)).
64*sqrt(17)
Simplify (-1 + 5 + (sqrt(1331)*-1 + -2 - -4*-2*sqrt(1331)))**2.
-396*sqrt(11) + 107815
Simplify (0 + (-2*sqrt(190)*-1 + sqrt(190) - sqrt(190))/(-1*sqrt(640) + sqrt(640) + sqrt(640)))**2.
19/16
Simplify -4 + ((sqrt(76) + sqrt(76)*-2)*5)/(sqrt(8)/(sqrt(2)*-2)).
-4 + 10*sqrt(19)
Simplify ((5 + -3*((0 + sqrt(720))*-3 + -1))*-2)**2.
6912*sqrt(5) + 233536
Simplify (3 + 1 + sqrt(38)/sqrt(2) + sqrt(171)/(1*sqrt(144)))**2.
10*sqrt(19) + 731/16
Simplify ((-5*(-1*sqrt(5) + sqrt(5)) + sqrt(10)/(sqrt(2)*1))*1*4)**2.
80
Simplify (5 + (-4 + sqrt(700) - sqrt(700)) + 5 + ((sqrt(700) - sqrt(700)*-4)*3 - sqrt(700)))**2.
1680*sqrt(7) + 137236
Simplify 5*(1*(sqrt(13) + 1))**2 - (sqrt(832) + -2 + sqrt(52)).
72
Simplify (6*(-6*sqrt(102)*-2 + sqrt(102)))/(sqrt(12)/sqrt(288)).
936*sqrt(17)
Simplify (1 + (sqrt(252) - (sqrt(252)*-2 - sqrt(252))*2 - sqrt(252))/(sqrt(4) - (sqrt(4) + sqrt(484)*-2)) + 4)**2.
90*sqrt(7)/11 + 3592/121
Simplify (3 + 2 + sqrt(176)*3 + 3)**2.
192*sqrt(11) + 1648
Simplify 6*(-1 + (-1 + sqrt(325))**2 + (sqrt(325)*-2)**2 + 2)*1.
-60*sqrt(13) + 9762
Simplify 5*(-1*(4 + sqrt(684))*2)**2.
960*sqrt(19) + 14000
Simplify ((sqrt(245)*4)**2*6 - ((sqrt(720) + (sqrt(720) - (1 + sqrt(720))) + sqrt(720))**2 + (sqrt(180))**2 + sqrt(5))) + -4.
47*sqrt(5) + 20455
Simplify (-1*sqrt(99)*-5 + sqrt(99))/((sqrt(72)*-6)/sqrt(8)).
-sqrt(11)
Simplify (((sqrt(2700) - sqrt(27) - sqrt(27))/sqrt(9) + sqrt(3))*-4 - 4*sqrt(675))**2.
27648
Simplify 4*(0 + (-4 + -2*sqrt(1216)*4)*-6)**2.
73728*sqrt(19) + 11208960
Simplify (-4*(-1 + sqrt(13)) + -4 + 1 + 2 + sqrt(13) + 0)**2.
-18*sqrt(13) + 126
Simplify (2*sqrt(24)*-1*2)/(sqrt(40)/sqrt(5)*-1 + 5*sqrt(72)).
-2*sqrt(3)/7
Simplify -4*((sqrt(833) + -2 + 5)*-5 + 1)*6.
336 + 840*sqrt(17)
Simplify ((-1 + (sqrt(720) + -1 - sqrt(720)))**2 + (sqrt(720) - ((0 + sqrt(720))*-2)**2))*-1 + 5.
-12*sqrt(5) + 2881
Simplify (6*(sqrt(85) + (sqrt(85)*1 - sqrt(85))*-6 + sqrt(85)))/(sqrt(20)*6 + (-4*(sqrt(15)/sqrt(3) - sqrt(5) - sqrt(5)) - sqrt(5))).
4*sqrt(17)/5
Simplify 1*(-4 + (sqrt(833)*2*-1)**2 - 6*(2 + (1 + sqrt(833))**2)).
-1688 - 84*sqrt(17)
Sim | {
"pile_set_name": "DM Mathematics"
} |
+ 6121*h - 2*h**2 + 3 - 6092*h in the form d*h + r*h**2 + x*h**3 + i and give x.
8
Express 377*x**3 + x**2 - 4587*x**3 + 0*x**2 - 6279*x**3 as n*x + v*x**3 + j + z*x**2 and give z.
1
Rearrange 41*x**2 + 38*x**2 - 39*x**2 - 4 + x + 8 to the form f*x + s*x**2 + q and give s.
40
Rearrange (55003*b - 28152*b + 67275*b)*(-2 + 4 + 0) to l + c*b and give c.
188252
Rearrange (-6 - 4 - 6)*(0*j**4 + 8*j**4 + 36*j**4 - j**3) to the form q*j**4 + t*j**2 + w + b*j + p*j**3 and give q.
-704
Rearrange 1077*g**2 - 69*g + 25*g + 25*g + 21*g to r*g + c*g**2 + n and give r.
2
Express 30*r + 55*r + 271*r + 1023*r as n + a*r and give a.
1379
Express (7 + 1 + 1)*(-289*u - 325*u - 23*u)*(-5*u + u + 3*u) as n*u + r + x*u**2 and give x.
5733
Express 35974*l - 1071*l**3 - 35974*l + 2 in the form k + r*l + t*l**3 + f*l**2 and give t.
-1071
Rearrange 23*n**4 + 23*n + 19*n**3 + 2*n**2 + 5*n**2 - 6*n**2 + 1 - 24*n - 17*n**3 to the form y*n**2 + t*n**4 + u*n + v + l*n**3 and give y.
1
Express (3*o - 45*o + 5*o)*(-3 - 3 + 1)*(-4 - 1 + 1)*(-3 + 1 + 1) in the form g + u*o and give u.
740
Rearrange -347 - 324 + 671 - 90*n**2 + 17*n to the form b*n + z*n**2 + c and give b.
17
Rearrange -41*z**2 - 20 + 33 - 13 - 8 - 20 to the form d + q*z + m*z**2 and give m.
-41
Rearrange (4*r + r - 4*r)*(-7238*r + 8092*r + 17814*r) to n*r**2 + o + w*r and give n.
18668
Rearrange 29*z**4 + 98 - 26*z**4 - 8*z**4 - z**2 to the form w*z**2 + k + c*z**4 + i*z**3 + y*z and give c.
-5
Rearrange 9 - 35 + 360*t**2 + 9 + 15 + 837*t**2 to the form c*t**2 + s*t + x and give c.
1197
Express (4*j**2 - 3*j**2 - 2*j**2)*(-518 - 1112*j + 1031 - 513)*(3*j - 2*j - 3*j) in the form z*j + d*j**3 + g*j**4 + t*j**2 + o and give g.
-2224
Express 0*n + 2*n + 0*n + (0 - 2 + 1)*(-n - 4*n + 4*n) + 30*n + 174*n + 23*n + (9 - 4 - 4)*(0*n + 2*n - 4*n) as g + c*n and give c.
228
Rearrange (-6748*t - 4272*t - 4728*t + 548*t - 1716*t)*(0*t + t - 3*t) to the form d*t + f*t**2 + o and give f.
33832
Rearrange 6*h**2 - 10*h**2 + 10*h**2 + (5*h - 4*h + 3*h)*(-1 + 1 + h) + 0*h**2 - h**2 + 2*h**2 + (-2*h - 2 + 2)*(0 - 2*h + 0) to r*h + x*h**2 + l and give x.
15
Express (94 + 60 - 34)*(w**3 + 5*w**3 - 5*w**3) + 2483*w - 2483*w + 7*w**3 in the form u*w + v*w**2 + g + j*w**3 and give j.
127
Express 2 + 143*j**2 - 11*j**3 - 5 - 18*j**3 + 28*j**3 in the form i*j**3 + c*j**2 + a + l*j and give c.
143
Express -185270*s + 185270*s + 1 - 502*s**2 as x + n*s + w*s**2 and give x.
1
Rearrange -45*b**2 + 46*b**2 - 33 + 441973*b**3 - 441972*b**3 - 9*b to z*b**3 + f*b + r*b**2 + v and give v.
-33
Express -2*z**2 + 2 - 44*z**3 + 210*z + 32*z + 46*z**3 as m*z**2 + x*z**3 + a*z + w and give w.
2
Express (-1 + 153*g - 370*g + 174*g)*(2 + 0 + 0 + (3 - 5 + 1)*(-1 - 2 + 2) + 2 - 4 + 4 + 2 + 1 - 4 + 0 - 4 + 3) + 5*g + g + g as r + v*g and give v.
-122
Rearrange -272*w**2 - 2*w - 193*w**2 - 20*w**2 + 49*w**2 + 3 to the form x*w**2 + m*w + g and give m.
-2
Express -4*x**2 + 34*x**2 + 248017 - 248063 in the form u + h*x + y*x**2 and give y.
30
Rearrange (2495*r - 2500*r + 1875 + 4099 - 184)*(-3 + 1 + 0) to the form v*r + b and give b.
-11580
Express 46 - 42 - 220*v - 98*v - 118*v + 20*v as r + l*v and give r.
4
Rearrange ((6 - 5 + 5)*(-2*v**2 + 7*v**2 - 4*v**2) - 3 + 3 - v**2)*(0*v - 4*v - v) to the form p*v**3 + a*v + m*v**2 + w and give p.
-25
Rearrange (-196*w + 157*w + 208*w)*(0 + 0 - 354*w**2 + 23*w**2) to p*w + z*w**3 + t*w**2 + x and give z.
-55939
Rearrange ((3 - 3 - 1)*(-i + i - i**2) + 118 - 118 - 21*i**2)*(42435*i - 42592*i - 1 - 2) to the form g*i**3 + h + u*i + v*i**2 and give v.
60
Rearrange (-60 + 4 - 3 + 0)*(6 + 4*l - 8 - 15*l) to the form k*l + z and give z.
118
Express -424*c**2 + 474*c**2 + 228*c**3 - 225*c**3 - 72 as n*c + y + m*c**3 + h*c**2 and give y.
-72
Rearrange 3*h - 5*h + 4*h + (6 - 6 - 2*h)*(178 + 57 - 17) to z*h + g and give g.
0
Express -25*q - 31*q - 34 + 4 + 33*q - 32 as l + m*q and give m.
-23
Rearrange (4 - 1 + 5 + (-1 + 9 - 25)*(3 + 0 - 4))*(-3*p + 3*p - p - 4) to k + a*p and give a.
-25
Express (-2 + 3 + 1)*(-w**4 - 2*w**2 + 2*w**2) - 1024*w**4 - 2017*w**4 + 1019*w**4 as b*w**4 + d*w + h*w**2 + c + u*w**3 and give b.
-2024
Express 1129*b - 7 + 4*b**2 - 1128*b + 16 - 1 + 2 as n*b**2 + x + y*b and give x.
10
Rearrange -758 - 680*h + 758 + 0 + 6*h + 0 + (-1 + 4 + 0)*(4 - h - 4) to y*h + r and give y.
-677
Rearrange (20*w**2 + 32*w**2 + 16*w**2)*(6 - 4 + 2) + 6*w**2 + 4*w**2 + 4*w**2 to the form f*w + a*w**2 + o and give a.
286
Rearrange (-i**2 + 2*i**2 - i - 2*i**2)*(4 - 1846365*i + 1844107*i - 2) to a*i**2 + q + m*i + w*i**3 and give a.
2256
Rearrange 52630*h - 52630*h + 3 + 46*h**2 to p + t*h + y*h**2 and give p.
3
Express -5438*q - 28 + 10869*q - q**3 + 2 + 5*q**2 - 5430*q as y + x*q**2 + i*q + f*q**3 and give f.
-1
Express (3*w**2 - 3*w**2 + 3*w**3)*(38775*w - 4456 - 4465 - 4463 + 13384) in the form p*w**3 + v + y*w**4 + t*w**2 + m*w and give y.
116325
Express -155*n + 63 + 58*n + 36*n + 62*n as b*n + z and give b.
1
Express 1364*x + 488*x + 1707*x as n*x + q and give n.
3559
Express (-110 + 36 + 29)*(1 - 3*a - 1) - 455 - 40*a + 455 as s*a + k and give k.
0
Rearrange 326*z**3 - 28*z + 518*z**3 + 30*z - 75*z**3 + 2 to g + c*z + q*z**3 + a*z**2 and give q.
769
Rearrange 1010 + s - 6*s + 7*s + 356 - 3*s**2 + 147 to the form o*s + m*s**2 + a and give o.
2
Express 2*l**2 + 11*l**2 - 4*l**2 - 981*l**3 + 1142*l**3 as y*l**2 + r*l**3 + m*l + o and give y.
9
Rearrange (1885*m + 5806*m - 2814*m)*(5*m**2 - 5*m**2 + 2*m**2)*(1 - 1 + 2*m) to z*m**4 + p*m + o*m**2 + q*m**3 + c and give z.
19508
Rearrange (4 + 2 - 4 + (-166 + 196 + 909)*(-6 - 5 + 5) - 2 - 3 + 4 + 0 - 3 + 2)*(z - 3*z + 4*z) to the form a + f*z and give f.
-11268
Express (-2*f**2 + 0*f**2 + f**2)*(-15 - 258148*f**2 + 15 + 137865*f**2 + 145300*f**2) as w*f**2 + z + p*f**4 + o*f + r*f**3 and give p.
-25017
Rearrange (4 + 1 - 4)*(-g + 3*g - g) + 2 + g - 2 - 289*g + 317*g - 196*g + (0 - 2 + 3)*(0*g + 4*g - 3*g) to the form l*g + a and give l.
-165
Express 2 + 5*w + 3*w**2 - 126*w**3 - 128*w**3 - w**4 - 6*w**2 + 251*w**3 - 6*w**2 in the form u*w**3 + s*w**2 + v*w + k + l*w**4 and give s.
-9
Rearrange -1593*h**2 + 813*h**2 + 648*h**2 to the form q*h**2 + m*h + o and give q.
-132
Express -2 + 81532*p**2 - 10 - 81534*p**2 + 4*p**4 - 6*p in the form w*p**3 + q*p + r*p**2 + n*p**4 + u and give r.
-2
Express -2315 - 4885*g + 2315 as l*g + d and give l.
-4885
Express 162 + 64*i + 0*i**3 + i**3 + 192 - 352 + 16*i**2 as r*i**3 + h*i**2 + n*i + v and give n.
64
Express -9*y**3 + 2*y**2 + 17*y + 14*y + 15*y + 41*y - 11*y**3 as s*y + c*y**3 + l + a*y**2 and give s.
87
Rearrange -97*i**2 + 997*i - 132*i**2 - 1001*i + (4 + 0 + 0 - i)*(15 + 5*i - 15) to k*i + c + f*i**2 and give f.
-234
Rearrange 5525 - 5522 - 144*z - 22*z + (4 - 1 - 1)*(2*z + 0*z + 0*z) + 4*z - 3*z + 4*z to i*z + g and give g.
3
Rearrange 187*t + 22*t**3 - 187*t + 0*t**3 - 6*t**3 - 10*t**3 + (10*t + 2*t**2 - 10*t)*(2*t - 6*t + 2*t) to the form y*t**3 + z + x*t**2 + v*t and give v.
0
Express -24*p**3 + 137*p - 43*p**2 + 42*p**2 + 22*p**3 as k*p**3 + d*p**2 + c*p + o and give c.
137
Express 1454*o**3 - 1 - 57*o**2 + 59*o**2 - 1458*o**3 + 0 + 4 - 2*o in the form w*o**2 + s*o**3 + l*o + j and give l.
-2
Express -6*o**3 + 7*o**3 + 634*o**4 - 376*o**4 - 4*o**2 - 2 as d*o**4 + l*o**2 + j + p*o**3 + f*o and give j.
-2
Rearrange 665*z**2 + 944*z**2 - 1280*z**2 - 6144*z**2 - 1370*z**2 to s + p*z**2 + q*z and give p.
-7185
Express 7 + 8*j**2 - 3*j**2 - 7 - 9*j**3 - 2*j + 41*j**2 as p*j + m*j**2 + u + z*j**3 and give m.
46
Express (-3*h - h + 2*h)*(1 - 3 + 6) + 2489*h - 2660*h - 8128*h - 8447*h - 4183*h in the form u*h + k and give u.
-20937
Rearrange -5707*n - 3955*n - 176*n - 149*n to the form m*n + s and give m.
-9987
Rearrange (0*s + 2*s + 0*s)*(-17254*s - 9808*s - 24064*s + 1091*s) to the form o*s + y*s**2 + z and give y.
-100070
Express 84*d**2 - 275*d - 42*d + 76*d**2 - 166*d**2 as a*d**2 + v*d + s and give a.
-6
Rearrange (32 - 8*i + 8 + 10*i)*(43*i**3 - 31*i + 31*i)*(-3 + 14 + 8) to n*i**2 + o*i**4 + c*i**3 + z + j*i and give o.
1634
Express -h + 0 + 0 - 32*h + 65*h in the form c + x*h and give x.
32
Express 3 - 20*v**4 + v**2 + 47*v**4 + 8149*v**3 - v - 8154*v**3 in the form x*v**2 + u*v + p*v**3 + d*v**4 + o and give p.
| {
"pile_set_name": "DM Mathematics"
} |
.
5, 7, 227
Let f = -33341 - -53525. What are the prime factors of f?
2, 3, 29
Suppose -f + 28 - 25 = 0. Suppose 7*u = f*u - 4*i + 60, 3*u + 2*i = 48. List the prime factors of u.
2, 3
Suppose -4*c + 80920 = -2*x, -4*x - 17037 = 3*c - 77771. List the prime factors of c.
2, 67, 151
Suppose 3*f + 5*t = 1353, 2*f + 184 - 1086 = 2*t. Let i = 843 - f. List the prime factors of i.
2, 7
List the prime factors of (18/(-12))/(14/(-4)) - 1882274/(-322).
2, 37, 79
Suppose 2*h - 555 = 259. List the prime factors of 217412/h - (-4)/(-22).
2, 3, 89
Let t be (-2 + (-48)/(-15))/((-6)/15). Let y be t/1*(-6)/(-36)*-130. Suppose 5*f - y = -0. List the prime factors of f.
13
Suppose 3*z + x = 29, -11*x + 54 = 5*z - 15*x. Suppose -z*u + 18*u - 3272 = 0. What are the prime factors of u?
409
Suppose -13*m = -10881 - 5564. Suppose -2*s = 3*s + m. Let n = 428 + s. What are the prime factors of n?
5, 7
Let f(r) = -148*r**3 - 3*r**2 - 10*r - 62. What are the prime factors of f(-5)?
18413
Let o(z) = z**3 + 2*z + 17. Let v be o(0). Let d = v - 17. Suppose 2*q - 74 - 108 = d. List the prime factors of q.
7, 13
Let g(d) = -4*d - 116. Let i be g(-11). List the prime factors of (-6)/i*6702 + (-1)/2.
2, 3, 31
Let u be 4/12 + (-2328)/(-9). Suppose 257*c + 642 = u*c. List the prime factors of c.
3, 107
Suppose -4*k = 2*b + 12, 4*b + 12 - 38 = 2*k. Suppose 0 = 4*u - t + 201, -u = -4*u - b*t - 127. Let l = -5 - u. What are the prime factors of l?
2, 11
Let j = 6 + -5. Suppose p - 3 = 1, -j = o + 3*p. What are the prime factors of (-5 + 4)/(1/o)?
13
Let a = 12486 - 3617. List the prime factors of a.
7, 181
Suppose 0 = 129*n + 19*n + 321116 - 2120056. List the prime factors of n.
5, 11, 13, 17
Let n(a) = 20*a**2 - 57*a**2 - 1 + 109*a**2 + 105*a**2 + a. Let s be n(1). Let k = s - 89. What are the prime factors of k?
2, 11
Suppose g = t + 16984, 880*g = 879*g + 3*t + 16986. List the prime factors of g.
3, 17, 37
Let u = -16548 + 16539. Let r(p) = 4*p**2 + 2*p**2 - 3*p**2 + 5*p - 3. What are the prime factors of r(u)?
3, 5, 13
Suppose 3*g + 76 = -2*k + g, 5*k - g = -184. Let f = k + 66. What are the prime factors of f?
29
Let q be (1 - 10) + (2*-2)/(-4). Let o be 4233/(-4) - q/32. What are the prime factors of o/(-14) + (-8)/14?
3, 5
Suppose 218*t = 228*t - 8810. Suppose -3*o = 3*y - 2*o - t, 3*o - 873 = -3*y. List the prime factors of y.
5, 59
List the prime factors of 5 - ((-145278)/(-3))/(-6).
2, 3, 673
List the prime factors of 33698 - -205 - (0 + -1).
2, 13, 163
Suppose 5*b + 30 = 5*a, -5*a - b = -5*b - 28. Suppose 5*k - 675 = s - 247, 0 = -a*s - 12. What are the prime factors of k?
5, 17
Let q = -222 - -516. Let w = 1499 - q. List the prime factors of w.
5, 241
Suppose 5*z + 65 - 355 = 0. Let l = -868 + 853. Let f = l + z. What are the prime factors of f?
43
Let m(a) = -a**3 - a**2 + 24*a - 138. List the prime factors of m(-19).
2, 3, 41
Let g be (8 - (-119)/(-7))/(-1). What are the prime factors of (-984)/g*168/(-16)?
2, 7, 41
Let t(k) = 24*k**2 + k + 1. Let s be t(-1). Suppose -s*i + 3*i = -777. What are the prime factors of i?
37
Let y be 4/(-10) - (-17)/5. Let f(c) = c**2 + 4*c - 17. Let b be f(-8). Suppose -5*z = -r + b, -2*r - 9 = -y*r - z. List the prime factors of r.
2, 5
Let i = -115 + 142. Suppose 33*j - i*j - 702 = 0. What are the prime factors of j?
3, 13
Let l(y) = -3*y**2 + 59*y - 152. Let n(t) = -2*t**2 + 39*t - 101. Let a(r) = 5*l(r) - 7*n(r). What are the prime factors of a(11)?
2, 17
Let b(m) = 2*m + 6. Let c be b(-5). Let a(u) = 75*u + 1150. Let f be a(-15). Let k = f + c. List the prime factors of k.
3, 7
Suppose 0 = -q - 5*x + 28, -x - 110 = -3*q - 3*x. Let n = -34 + q. Suppose -n*s = -2*b - 0*s + 56, -2*s + 44 = b. What are the prime factors of b?
2, 3
Let d = 10325 - 4916. List the prime factors of d.
3, 601
Let t(m) = -23*m + 5 - 48*m - 58*m + 37*m - 2*m**2 - 3*m**2. List the prime factors of t(-5).
2, 5, 17
Let j(f) = -2*f + 20. Let r be j(10). Suppose r = -y - 28 + 27. Let t(s) = -31*s**3 + s**2 - s - 1. List the prime factors of t(y).
2
Suppose o - 7460 = -2*w, -w + 3745 = 120*o - 117*o. What are the prime factors of w?
3727
Let q(a) = -2*a - 2. Let g be q(-3). Let y be (23/(207/6))/(4/24). Suppose -g*p - 5*b + 87 = 0, -y*p + p - 5*b + 59 = 0. What are the prime factors of p?
2, 7
Let j = -151 + 312. Let a = j - 132. What are the prime factors of a?
29
Suppose -5*s - d + 204 = -280, -2*s = 2*d - 192. Let m = s - 65. What are the prime factors of ((-408)/m)/((-1)/20)?
3, 5, 17
Let g(z) = z**2 + z - 8. Let d be g(-4). Suppose -u = -2*p - 15, -3*u - 5*p + 38 = -d*p. Suppose -u*t + 1134 = -699. What are the prime factors of t?
3, 47
Let j(a) = a - 14. Let n be j(14). Suppose 0 = -n*w + 7*w - 21. Let x(t) = 7*t**2 - t + 10. What are the prime factors of x(w)?
2, 5, 7
Let p be 68/14 + (-12)/(-84). Suppose p*t = 4*t - 3*v + 6, 4*t = 2*v + 24. List the prime factors of 72 + 1 + 1/(-3)*t.
71
Suppose 2487*m - 2562*m = -786600. What are the prime factors of m?
2, 3, 19, 23
Suppose 3*s + 27 = 3*q - 0*q, 2*q = -s + 6. Suppose -q*m = -3*m - 8. Suppose 3*i - 362 = 4*y - 5*y, 4*i - m*y - 456 = 0. What are the prime factors of i?
7, 17
Let k(x) = -4*x**3 - 11*x + 14 + 3*x**3 - 24 + 16*x**2 + 13. Let a be k(16). Let z = -9 - a. What are the prime factors of z?
2, 41
Let b(k) = k**3 + 15*k**2 + 19*k + 58. Let z be b(-15). Let p = 566 + z. What are the prime factors of p?
3, 113
Suppose z - 8*d - 19049 = 0, -9*d = -2*z - 4*d + 38142. What are the prime factors of z?
19081
Let z(b) = -b - 70*b**3 + 0*b + 1 + 37*b**3 - 2*b**2 + 34*b**3. Let w be z(0). List the prime factors of 18 + -14 - (-68)/w.
2, 3
Suppose l + 3*g - 37 = -0*g, 3*l - 75 = 3*g. Let t(j) = -j**2 + 30*j + 61. Let b be t(l). Let f = b - 86. What are the prime factors of f?
31
Suppose -2*a = 8*a - 17*a + 55454. List the prime factors of a.
2, 17, 233
Let o(n) = -4*n**3 + 145*n**2 - 6*n + 65. List the prime factors of o(33).
2, 1753
Let q be (-9061)/(-10) - 13/130. Suppose 2*t + q = 1494. List the prime factors of t.
2, 3, 7
Suppose -34688 = -2*k - f, 22*k + f - 17341 = 21*k. What are the prime factors of k?
11, 19, 83
Suppose -523 = -2*f - 1555. Let p = -236 - f. Suppose -2*i - p = -6*i. List the prime factors of i.
2, 5, 7
Suppose 0 = 2*j - 5*w - 26, 0*w + 3*w = -3*j - 3. Let k(q) = -4*q**3 - 3 - 3*q**2 - 2 + j + 5*q**3 - 7*q. List the prime factors of k(6).
2
Suppose 68*w - 259747 - 1737375 = -58918. List the prime factors of w.
3, 3167
Suppose -118 = 2*u - 132. Suppose -u*c + 2449 = 804. List the prime factors of c.
5, 47
Suppose 52 = -55*k + 42*k. What are the prime factors of (k - 5) + 4 - -49?
2, 11
Suppose -3*j - 4*l = -42200, -4*l + 39853 - 11721 = 2*j. What are the prime factors of j?
2, 3517
Suppose 9*o - 102 = 276. Let i(x) = 5*x**2 + 9*x - 4*x + o - 47. List the prime factors of i(-6).
5, 29
Suppose 0 = -63*f + 20*f + 74433. List the prime factors of f.
3, 577
What are the prime factors of (-21 + 20)/((-3)/5283)?
3, 587
Suppose -10*o - 8581 = 5579. Let k be (o/18)/((-1)/3). Suppose 91 - k = -5*j. List the prime factors of j.
29
Let h(n) = n**3 - 11*n**2 - 9*n - 5. Suppose -6*q + 12*q = 72. Let m be h(q). Let z = m - 11. List the prime factors of z.
2, 5
Let u(o) = -63*o**3 - o**2 - 2*o. Let b be u(-1). Let k(a) = -9*a + b + 55 - 133. What are the prime factors of k(-7)?
7
Suppose 3*r = 5*h - r - 1945, -2*h = -3*r - 778. Let o = 708 - h. List the prime factors of o.
11, 29
Suppose -24*d + 311 = -104521. What are the prime factors of d?
2, 3, 7, 13
Let n = -474 - -478. Suppose 5*k + n*h - 3684 = 0, 5*k - 5460 + 1768 = -2*h. List the prime factors of k.
2, 5, 37
Let r(n) = 6*n**2 + 8*n - 30. Let w(l) = -l**2. Let x(v) = r(v) + 5*w(v). Let u be x(-11). List the prime factors of ((-4 + u)*-2)/(4/592).
2, 37
Let s be (12/10 - 0)*-70. Suppose 127*j = 128*j + 155. Let a = s - j. List the prime factors of a.
71
Let l(b) be the third derivative of b**5/60 + 11*b**4/8 - 6*b**3 + 18*b**2. What are the prime factors of l(16)?
2, 11, 17
Suppose -3*f - m + 4*m + 462 = 0, 5*f - 777 = -2*m. Suppose -f*c + 158*c = 1449. List the prime factors of c.
3, 7, 23
Let x(s) = 2*s**3 - 19*s**2 + 11*s - 5. Let u be x(9). Suppose -157 + u = -6*h. Suppose f = -2*i + 12 + 6, -4*i + h = -f. What are the prime factors of i?
7
| {
"pile_set_name": "DM Mathematics"
} |
4*l - 4. Let j(s) = -4*h(s) - 14*p(s). Find the third derivative of j(o) wrt o.
-3180
What is the first derivative of -804 - 360784*b + 726224*b - 359336*b wrt b?
6104
Let t = -142 + 144. Let d(i) = -115*i**2 + 3*i - 112. Let l(r) = 230*r**2 - 7*r + 225. Let n(k) = t*l(k) + 5*d(k). What is the first derivative of n(s) wrt s?
-230*s + 1
Suppose -8*i = i - 54. Find the third derivative of -13*z**6 - 11*z**i + 11 + 7*z**6 - 5*z**2 wrt z.
-2040*z**3
Let s = -63 - -89. Let r(j) = -28 - j**3 - j + s + 0*j. Let h(w) = w**3 - w - 1. Let f(t) = -h(t) + r(t). Differentiate f(c) wrt c.
-6*c**2
Find the second derivative of 1426*c**2 + 719*c**2 + 1107*c**2 + 10492*c - 486*c**2 + 380*c**2 wrt c.
6292
Find the third derivative of 5382*y**6 + 88*y**5 + 3286*y**2 - 140*y**5 + 52*y**5 + 144*y**6 wrt y.
663120*y**3
Let d(u) be the third derivative of 113*u**8/6 + 239*u**5/15 - 10*u**2 - 3*u + 7. What is the third derivative of d(n) wrt n?
379680*n**2
Let x(m) be the second derivative of 0*m**4 + 0 + 0*m**2 + 82*m + 29/3*m**3 - 2/5*m**5. What is the second derivative of x(f) wrt f?
-48*f
Let w(u) be the second derivative of -268*u**4/3 + 13*u**3 - 9*u**2/2 - 5057*u. What is the second derivative of w(o) wrt o?
-2144
Let d(j) = -j**3 + 6*j**2 + 10*j - 3. Let g be (1 - 0)/((-17)/(-119)). Let a be d(g). Find the third derivative of b**6 + 6*b**6 + a*b**2 + 6*b**6 wrt b.
1560*b**3
What is the second derivative of -4838*v**4 + 71*v - 671*v + 215*v**4 wrt v?
-55476*v**2
Let h(a) = a**2 + 13*a + 53. Let n be h(-8). Find the third derivative of 0*x**2 - 133*x**6 - 7*x - n*x + 2*x**2 - 42*x wrt x.
-15960*x**3
Let g(p) = 476*p**3 - 8*p**2 - 7*p - 3464. Let q(r) = 239*r**3 - 3*r**2 - 3*r - 1732. Let x(f) = 3*g(f) - 7*q(f). Differentiate x(a) wrt a.
-735*a**2 - 6*a
Find the third derivative of -2*f**2 - 5811*f**3 + 18882*f**3 - 1025*f - 10166*f**3 wrt f.
17430
Let n(z) be the third derivative of -11*z**6/30 - 7*z**5/10 + 4061*z**4/8 + 8887*z**2 - 2. What is the second derivative of n(d) wrt d?
-264*d - 84
Let s(o) be the first derivative of -2404*o**6/3 - 2*o**5/5 - 5779*o**3/3 + 8737. Find the third derivative of s(k) wrt k.
-288480*k**2 - 48*k
Suppose i - 2*i + 2 = 0, i + 13 = w. What is the first derivative of -w - 59*o**4 + 5*o**4 - 77*o**4 - 84 wrt o?
-524*o**3
Suppose -48 = 2*u - 10*u. What is the third derivative of -705*j**2 - j + 25*j**u + j + 722*j**2 wrt j?
3000*j**3
Let u(h) = -32350*h**2 - 3954*h + 2. Let b(v) = -8099*v**2 - 989*v + 1. Let o(s) = 9*b(s) - 2*u(s). Find the second derivative of o(r) wrt r.
-16382
Let x(n) = 7636*n - 5882. Let o(t) = -2*t - 7. Let r(m) = 2*o(m) - x(m). What is the first derivative of r(c) wrt c?
-7640
Let h = -189 - -191. Find the third derivative of -11 + 0*w**h - 2*w**4 - 2*w**3 - w**2 + 3*w**4 - 11*w**3 wrt w.
24*w - 78
Let r(o) be the third derivative of 2239*o**7/210 + 562*o**3 + 14*o**2 + 17*o. What is the first derivative of r(n) wrt n?
8956*n**3
Let n(d) = -502*d**3 - d**2 - 7*d + 91. Let t(w) = 1006*w**3 + 2*w**2 + 13*w - 182. Let v(k) = 7*n(k) + 3*t(k). Find the second derivative of v(m) wrt m.
-2976*m - 2
Let b be (-162)/(-32) + (-38)/608. Let p(i) be the second derivative of -6*i - 3/2*i**2 + 0 + 0*i**4 + 0*i**3 + 3/5*i**b. What is the derivative of p(l) wrt l?
36*l**2
Let q(w) be the second derivative of 36*w + 49/12*w**4 + 0 + 34/3*w**3 + 0*w**2. What is the second derivative of q(p) wrt p?
98
Let h(u) be the third derivative of 0*u**5 + 0 + 1/42*u**7 - 1/24*u**6 + 8*u**2 - 7*u - 37/8*u**4 + 0*u**3. What is the second derivative of h(z) wrt z?
60*z**2 - 30*z
Let n(m) be the second derivative of -295*m**7/42 - m**4/4 - 281*m**2/2 + 1115*m. What is the third derivative of n(d) wrt d?
-17700*d**2
Let n(y) be the first derivative of 17*y**3 + 41/2*y**2 + 40 + 0*y. What is the second derivative of n(g) wrt g?
102
Let c(s) = -1. Let b(z) = 5*z**2 - 37*z + 0*z**2 + 12 + 56*z - 334. Let u(j) = -b(j) - 5*c(j). Differentiate u(x) wrt x.
-10*x - 19
Let p(t) be the second derivative of -5*t**7/2 + 3*t**5/20 - 8*t**4/3 + 7*t**3/2 + 944*t. Find the third derivative of p(b) wrt b.
-6300*b**2 + 18
Let k be 3*2/6 - 1. Suppose k = -5*z + 84 + 21. Find the first derivative of -z*j**4 + 9*j**4 + 0*j**4 + 40 wrt j.
-48*j**3
Let g(d) be the first derivative of -671*d**7/7 + 68*d**3 - d**2/2 - 1590. Find the third derivative of g(k) wrt k.
-80520*k**3
Find the first derivative of 240 + 247*p**4 + 626*p**4 - 214 - 756 + 169*p**4 wrt p.
4168*p**3
What is the second derivative of 1563*n + 318*n - 213735*n**2 + 214481*n**2 wrt n?
1492
Let l(p) = p**2 + 2*p - 96. Let i be l(-11). What is the second derivative of -102930*h**i + 81*h**5 + 102930*h**3 + 179*h wrt h?
1620*h**3
Let d = -61 + 19. Let s = d - -74. Find the third derivative of -s*g**3 - 1550 + 11*g**2 + 1550 wrt g.
-192
What is the derivative of -1321*t + 119 + 158 - 1217 - 1773 wrt t?
-1321
Let c(f) be the first derivative of 221*f**6/30 - 71*f**2/2 - 184*f + 121. Let a(l) be the first derivative of c(l). Find the first derivative of a(h) wrt h.
884*h**3
Let z(k) be the third derivative of -953*k**8/168 - 193*k**5/30 + 119*k**2 - 3. What is the third derivative of z(a) wrt a?
-114360*a**2
Let y = -208 - -195. Let k(x) = -16*x**3 + 26. Let f = 13 - 7. Let b(i) = -32*i**3 + 53. Let l(c) = f*b(c) + y*k(c). What is the derivative of l(q) wrt q?
48*q**2
Let x(r) be the first derivative of 3*r**5/5 - 77*r**4 - 797*r**2 + 975. What is the second derivative of x(f) wrt f?
36*f**2 - 1848*f
Let w(y) = -127*y**2 + 6*y + 1235. Let n(j) = -139*j**2 + 7*j + 1236. Let s(x) = 2*n(x) - 3*w(x). Differentiate s(f) wrt f.
206*f - 4
Let d = -47 - -50. What is the first derivative of -579 - 586 - 335*s**d + 1156 wrt s?
-1005*s**2
Let x(t) be the second derivative of -121*t**6/5 - 18*t**3 - 47*t**2/2 + 4224*t - 2. Find the second derivative of x(f) wrt f.
-8712*f**2
Let h = 72 + -55. Find the second derivative of -72*f - h*f**4 + 2 + 361910*f**2 - 361910*f**2 wrt f.
-204*f**2
What is the derivative of -1292 + 148*w + 349*w - 61*w - 129780*w**2 + 129779*w**2 wrt w?
-2*w + 436
Let d be (1/3)/(-1 + (-220)/(-219)). Let y = 78 - d. Find the second derivative of -17*r + 5*r + y*r**2 + 7*r**2 wrt r.
24
Let u(s) be the second derivative of -1381*s**4/12 + 857*s**3/6 + 433*s + 3. Find the second derivative of u(g) wrt g.
-2762
Let k(n) be the second derivative of 1 + 23/12*n**4 - 10/3*n**3 - 1/2*n**2 - 5*n. What is the second derivative of k(b) wrt b?
46
Let z(o) = -227*o - 2873. Let q(m) = -231*m - 2876. Let f(d) = 9*q(d) - 8*z(d). What is the derivative of f(p) wrt p?
-263
Let v(k) be the first derivative of k**6/60 + 3*k**4/4 - 112*k**3/3 + 3. Let p(w) be the third derivative of v(w). What is the derivative of p(u) wrt u?
12*u
Suppose j = -b + 7, 0 = 4*b + 2*j - 15 - 7. What is the third derivative of 0*s**4 + 6*s**b - s**4 + 26*s**2 + 82*s**3 - 7*s**4 + 106*s**2 wrt s?
-48*s + 492
Let j(v) be the first derivative of -1/2*v**2 - 28 - 28/3*v**3 - 32*v. What is the first derivative of j(c) wrt c?
-56*c - 1
Let i(a) be the third derivative of 13*a**6/40 - 61*a**5/60 - 2221*a**4/24 - 1144*a**2. Find the second derivative of i(m) wrt m.
234*m - 122
Differentiate 2300 + 1464*c - 282*c**2 + 2805 + 281*c**2 with respect to c.
-2*c + 1464
Suppose -5*t = -2*i + 31, 2 = 5*i + 2*t - 3. Let q be 15/4 - (i + 52/(-16)). What is the first derivative of -39*l - 4*l**q + 19 + 39*l - 6*l**4 wrt l?
-40*l**3
Find the second derivative of -160*i + 53*i + 48*i**2 - 740 + 51*i + 57*i - 2*i**3 wrt i.
-12*i + 96
Let b(p) be the third derivative of 0 + 5/2*p**4 - 8*p**2 + 9*p + 203/6*p**3. Differentiate b(t) with respect to t.
60
Let o(m) be the first derivative of -34*m**5/5 + 7*m**3/3 - m**2 + 77*m + 1933. Find the second derivative of o(h) wrt h.
-408*h**2 + 14
Differentiate -7238 - 592*g**2 - g**3 + 3*g**3 + 1512*g**2 - 932*g**2 - 331*g**4 wrt g.
-1324*g**3 + 6*g**2 - 24*g
Let k(c) be the first derivative of 525*c**2 - 1353*c - 972. What is the derivative of k(y) wrt y?
1050
Let x(o) be the third derivative of -56*o**5/15 + 295*o**4/6 + 114*o**2 + 1. What is the second derivative of x(p) wrt p?
-448
Let c(z) be the second derivative of -2*z**7/21 + 429*z**5/20 - 1967*z**4/4 - 9549*z. Find the third derivative of c(p) wrt p.
-240* | {
"pile_set_name": "DM Mathematics"
} |
*g**3.
-188*g**3
Collect the terms in 21*f - 6*f - 4*f - 10*f.
f
Collect the terms in -27*g**2 + 27*g**2 - 2*g**3 + 25.
-2*g**3 + 25
Collect the terms in 83323*s - 166647*s + 83325*s.
s
Collect the terms in -3*y**2 + 3*y**2 + 3*y**2 + 10*y - 5*y**2.
-2*y**2 + 10*y
Collect the terms in b + 19*b**3 - 4*b + 3*b - 20*b**3.
-b**3
Collect the terms in -4*r**2 - 4*r**2 + 10*r**2.
2*r**2
Collect the terms in 4*n**3 + 3*n**3 - 11*n**3 + n**3.
-3*n**3
Collect the terms in -1 - 4*k**2 - 2*k**2 + k**2.
-5*k**2 - 1
Collect the terms in -11*x - 2*x + 16*x.
3*x
Collect the terms in 19*u**2 + 22*u**2 - 48*u**2.
-7*u**2
Collect the terms in 119*t + 28*t**2 - 119*t + 6.
28*t**2 + 6
Collect the terms in b - 8*b - 24 + b + 9*b.
3*b - 24
Collect the terms in 55908*r**2 - 27957*r**2 - 27954*r**2.
-3*r**2
Collect the terms in 116*m - 1 + 1 + 0.
116*m
Collect the terms in -36 + 6*r - 38 + 111 - 37.
6*r
Collect the terms in 3*f + f - 8*f + 3*f.
-f
Collect the terms in -18*w + 26*w - 15*w.
-7*w
Collect the terms in 0 - 4 - 5 + 9 - 2*x**3.
-2*x**3
Collect the terms in 161*f - 171*f - 1 - 522*f.
-532*f - 1
Collect the terms in -164*g + 58*g - 432*g.
-538*g
Collect the terms in -1663*w**2 - 423*w**2 - 635*w**2 + 2.
-2721*w**2 + 2
Collect the terms in -1 - z + 4*z - 2*z + 0*z.
z - 1
Collect the terms in -2555 - 4*w**2 + 2555.
-4*w**2
Collect the terms in -25 - 5*t + 4*t - 2*t + 2*t.
-t - 25
Collect the terms in -28*w**2 + 116*w**2 - 35*w**2 - 52*w**2.
w**2
Collect the terms in 21*u**3 + 38*u**3 + 25*u**3 - 102*u**3.
-18*u**3
Collect the terms in -20*c + 7*c - 27 + 27.
-13*c
Collect the terms in 13*d + 12*d - 31*d + 10*d.
4*d
Collect the terms in -111942*o**2 + 223881*o**2 - 111938*o**2.
o**2
Collect the terms in -p**3 + 9*p**3 - 8*p**3 + 3*p**3.
3*p**3
Collect the terms in 64*g - 19*g + 64*g.
109*g
Collect the terms in 15*y**2 - 8*y**2 + 3*y**2.
10*y**2
Collect the terms in 0 + 0 + 77*f**2 - 59*f**2.
18*f**2
Collect the terms in 0*k**2 - 4*k**2 + 5*k**2 - 3*k**2.
-2*k**2
Collect the terms in -20*k**3 - 12*k**3 + 21*k**3.
-11*k**3
Collect the terms in -32*g**2 + 71*g**2 + 6*g**3 - 39*g**2.
6*g**3
Collect the terms in 0 + 0 - 92*f + 34*f.
-58*f
Collect the terms in 50*d**3 - 29*d**3 - 24*d**3.
-3*d**3
Collect the terms in -188*g + 4*g**2 - g**2 + 377*g - 189*g.
3*g**2
Collect the terms in 11*s - s - 12*s.
-2*s
Collect the terms in 110*s + 72*s + 20*s.
202*s
Collect the terms in -47*k - 107 + 107.
-47*k
Collect the terms in 434*k**2 + 2*k - 2*k + 428*k**2 - 853*k**2.
9*k**2
Collect the terms in 0 - 1 - 7 - 2*f.
-2*f - 8
Collect the terms in 18*c - 15*c - 9*c.
-6*c
Collect the terms in -4*h - 6*h**2 - 2*h**2 - 13*h**2 - 14*h**2.
-35*h**2 - 4*h
Collect the terms in -3*d**3 + 3*d**3 - d**3 + 2*d**3.
d**3
Collect the terms in 9*d**2 + 7*d**2 - 12*d**2 - 8*d**2.
-4*d**2
Collect the terms in 3*g**3 - 4*g**3 + 2*g**2 - 6*g**3.
-7*g**3 + 2*g**2
Collect the terms in -3*u**2 + 7*u**2 - 3*u**2 + u**2.
2*u**2
Collect the terms in 413 - 413 + 2*u**3.
2*u**3
Collect the terms in -4 + 4 + 4067*y**3 - 4065*y**3.
2*y**3
Collect the terms in 83737 + 2*s - 83737.
2*s
Collect the terms in 3*y**2 - 11 - 4*y**2 - 1 + 2*y**2.
y**2 - 12
Collect the terms in -442*j**3 - 436*j**3 + 873*j**3.
-5*j**3
Collect the terms in -115*d**2 - 2 + 41*d + 0 - 41*d.
-115*d**2 - 2
Collect the terms in -2*s**3 + 0 - 10 + 4.
-2*s**3 - 6
Collect the terms in o + 9 - 11 + 2 + 99*o**3.
99*o**3 + o
Collect the terms in -3*k - 3341447 + 3341447.
-3*k
Collect the terms in 2*m**3 - 124*m + 124*m.
2*m**3
Collect the terms in -4 + 1958*c + 1963*c + 4 - 3916*c.
5*c
Collect the terms in -1 - 16 + b**3 - 6.
b**3 - 23
Collect the terms in -2495 + 2495 + v**2.
v**2
Collect the terms in -3*t + t - 7*t**3 + 3*t + t.
-7*t**3 + 2*t
Collect the terms in -611*q**2 - 607*q**2 - 611*q**2 + 1827*q**2.
-2*q**2
Collect the terms in 96*k + 222*k - 2035*k.
-1717*k
Collect the terms in 59 - 59 - 17*j**3 + 16*j**3.
-j**3
Collect the terms in 4*y**3 + 48*y + 72*y - 3*y**3.
y**3 + 120*y
Collect the terms in 5 - 4 + 284*t - 318*t.
-34*t + 1
Collect the terms in -14*d**3 - 7*d**3 + 24*d**3.
3*d**3
Collect the terms in -v**3 + 18*v + 8*v - 45*v + 11*v.
-v**3 - 8*v
Collect the terms in 4504*i**2 - 2253*i**2 - 2253*i**2.
-2*i**2
Collect the terms in 3*l**3 - 4*l**3 - l**3.
-2*l**3
Collect the terms in -9*s**3 - s**3 + s**3 + 8*s**3.
-s**3
Collect the terms in -58*d**2 + 58*d**2 - 4*d**3.
-4*d**3
Collect the terms in 6*j**2 + 0*j**2 - 3*j**2 + j**2.
4*j**2
Collect the terms in 50310*f**2 - 50310*f**2 - 26*f**3.
-26*f**3
Collect the terms in 55466*r - 27732*r - 27736*r.
-2*r
Collect the terms in 12207*f - 24418*f + 12212*f.
f
Collect the terms in -483*g**3 + 486*g**3 + 56*g - 56*g.
3*g**3
Collect the terms in 60*f**3 - 125*f**3 + 59*f**3.
-6*f**3
Collect the terms in 7*g - 4*g + 4*g**2 - 8*g**2.
-4*g**2 + 3*g
Collect the terms in 10*v + 2*v**3 + 0*v**3 - 10*v.
2*v**3
Collect the terms in -15*o**3 + 9*o**3 + 54*o**3 + 128*o**3.
176*o**3
Collect the terms in -u + 944*u**2 + 3*u - 2*u.
944*u**2
Collect the terms in -55*c - 6*c - c**3 + 61*c.
-c**3
Collect the terms in 245*g**2 + 234*g**2 - 478*g**2.
g**2
Collect the terms in 2*k**3 - 146*k + 296*k - 150*k.
2*k**3
Collect the terms in -393 + 393 - 11*o.
-11*o
Collect the terms in 3*f + 35 + f - 9 - 2*f.
2*f + 26
Collect the terms in 2356*v - 4*v**2 - 2356*v.
-4*v**2
Collect the terms in -87*j**3 - 3 + 3 + 0.
-87*j**3
Collect the terms in -3 + 3 - 1071*a**2 + 2607*a**2.
1536*a**2
Collect the terms in -2 + 20*m**2 - 52*m**2 + 2.
-32*m**2
Collect the terms in 38*k**2 + 2*k - k**2 - 6*k.
37*k**2 - 4*k
Collect the terms in -1281*s**2 + 4041*s**2 + 5772*s**2.
8532*s**2
Collect the terms in -90*q + 91*q + 1 - 1.
q
Collect the terms in -74*a**2 + 74*a**2 + 12*a**3.
12*a**3
Collect the terms in 14*c + 10960 - 10960.
14*c
Collect the terms in -8*w + 10*w + 4*w.
6*w
Collect the terms in 17*p**2 - 24*p**2 - 38*p**2.
-45*p**2
Collect the terms in -5*x**2 - 9*x**2 + 16*x**2.
2*x**2
Collect the terms in -339 - 2*x + 102 + 237.
-2*x
Collect the terms in 13 - 14 + 2*s + 1.
2*s
Collect the terms in -4*g + 4*g - g + 4*g.
3*g
Collect the terms in -5*g**2 - 3855 + 3855.
-5*g**2
Collect the terms in -171*a**2 - 5*a**3 - 173*a**2 + 3*a**3.
-2*a**3 - 344*a**2
Collect the terms in 6*a**3 + 119*a - 119*a.
6*a**3
Collect the terms in -1413*v + 704*v + 712*v.
3*v
Collect the terms in -24*o + 2142 - 2142.
-24*o
Collect the terms in 11*g - 14*g + 10*g - 14*g.
-7*g
Collect the terms in -6*f + 27*f - 116*f.
-95*f
Collect the terms in -17*p**3 + 2*p**3 + 7*p**3.
-8*p**3
Collect the terms in -4*w**2 + 7557*w**3 + 4*w**2 - 7559*w**3.
-2*w**3
Collect the terms in 4*k**2 - 51*k**2 - 41*k**2.
-88*k**2
Collect the terms in -2*z**3 + 3*z**3 - 2*z**3 + 3*z**3.
2*z**3
Collect the terms in 0 + 64*o**3 - 2 - 66*o**3 - 2.
-2*o**3 - 4
Collect the terms in -49*b + 11*b + 7*b + 6*b + 7*b.
-18*b
Collect the terms in 828 + 2*y - 828.
2*y
Collect the terms in 6*x**3 + 42 - 42.
6*x**3
Collect the terms in 31 + 30 + 3*p**2 - 61.
3*p**2
Collect the terms in 15 - 24 - 3 - d + 12.
-d
Collect the terms in 2*j - 374 + 188 + 186.
2*j
Collect the terms in -17*k + 3*k + 0 + 1 - 2.
-14*k - 1
Collect the terms in 50*r**2 + 98*r**2 - 14*r**2 + 17*r**2.
151*r**2
Collect the terms in -l - 31*l**2 + l - 24*l**2.
-55*l**2
Collect the terms in 164*s**2 - 39*s**2 - 41*s**2 - 40*s**2 - 43*s**2.
s**2
Collect the terms in g - 5*g - 6*g - 3*g.
-13*g
Collect the terms in 7*y**3 + 8*y**3 - 17*y**3 + 7*y**3.
5*y**3
Collect the terms in 2*h + 2*h**3 - 2*h**3 - 3*h**3 + 0*h**3.
-3*h**3 + 2*h
Collect the terms in -81*i**3 - 10*i**3 - 33*i**3.
-124*i**3
Collect the terms in 55 - 55 + 96*z.
96*z
Collect the terms in 1 - 2 - z + 3 - 2.
-z
Collect the terms in -116*n - 107*n + 330*n - 108*n.
-n
Collect the terms in 117*r**2 + 12 + 12 - 24 - 127*r**2.
-10*r**2
Collect the terms in -10*h - 4*h - 24*h + 18*h.
-20*h
Collect the terms in -586*v**2 + 586*v**2 + 104*v**3.
104*v**3
Collect the terms in -9*n**3 + n**3 + 9*n**3 - 3*n**3 - 2*n**3.
-4*n**3
Collect the terms in -1 + 1 + 93*b - 106*b.
-13*b
Collect the terms in 4*u**3 + 7*u**3 - 2*u + 0*u.
11*u**3 - 2*u
Collect the terms in -12*w**2 - 13*w**2 - 9*w**2 + 30*w**2.
-4*w**2
Collect the terms in -16202 - 4*r + 16202.
-4*r
Collect the term | {
"pile_set_name": "DM Mathematics"
} |
/(-6832)?
2/21
Calculate (16146/(-4485))/((-3)/(-25)).
-30
Calculate (-12 - 2) + 408/34 + (-4)/3.
-10/3
Calculate -15 + 98/14 - (-21)/28*-4.
-11
Calculate 10/(-16) + 30233/24680.
3/5
Evaluate -4 - (-7 - ((-5)/(-45) + 284/36)).
11
Evaluate -20*(85/(-425))/(1/2).
8
Evaluate 22/2 - 3283/335.
6/5
Evaluate 1/(12/42 - (-75)/(-140)).
-4
Calculate 402/469*(-1)/(-6) + (-61)/35.
-8/5
What is the value of -6*((-10)/25)/(414/225 + -2)?
-15
Evaluate 18/243 + (-436)/54 + 7.
-1
What is 40/10 + (-410)/492*(-116)/(-25)?
2/15
Calculate (-3 - (-15)/9)*-9.
12
Calculate (-1 - -7) + 52 + 851/(-23).
21
(-12 - -14)/(4 - (-1166)/(-297))
27
9 - 4 - ((-129)/21 - 176/(-154))
10
Evaluate ((-1632)/(-120))/(-17) - ((-198)/(-40) - 3).
-11/4
What is (-58)/(6/3) + (21 - 464/29)?
-24
Evaluate (-4 - 1) + 44 + -17 + -25.
-3
1*(-2)/10 - ((-273735)/175)/(-79)
-20
What is the value of (-3 - (0 + 2))*(-11 - 39/(-3))?
-10
What is the value of (-3892)/182 + (-80)/(-208)?
-21
(-14)/(70/65) - -3
-10
Calculate (1 - 0)*3 - (-34 + 13 + 30).
-6
What is the value of 1/7 - (-1020)/(-2142)?
-1/3
What is 9*(-50)/(-90) - -7?
12
Evaluate (208/312)/((-5)/2*8/210).
-7
Calculate (0 + -14)*(1941/87992)/((-12)/(-34)).
-7/8
What is 3337/940 + (-7)/2?
1/20
Calculate (-14)/357 + (-512)/(-2652) + (-212)/26.
-8
What is the value of 1302/266 + 18 - 2*2/(-38)?
23
What is (-47)/(-70) + -2*20/70?
1/10
Evaluate ((-217)/(-210))/31*(-4)/3.
-2/45
What is ((-222)/44)/(-1) - (-46)/((-5152)/504)?
6/11
Calculate ((-56)/3)/(-38 - (-2640)/72).
14
Calculate 40/(-180) + 16902/(-486).
-35
Evaluate (-9)/((-6)/2) - 76/(3192/1386).
-30
What is the value of (-1323)/297 - 6/11?
-5
1/((-1258)/6216 + 4/14)
12
What is the value of 30/(-8) - (-13 - 26)/13?
-3/4
Calculate 8 + (-3 + (6 - 38))/(-5).
15
(-90)/240 + 46/(-48)
-4/3
What is the value of -3*(25 + 3335/(-138))?
-5/2
11/((-29)/((-58)/(-2)))
-11
What is the value of (-9)/21 + 1628/2590?
1/5
Evaluate -9 + (-871)/(-91) - ((-4)/(-56) - 0).
1/2
What is the value of 1611/(-1074) - (-1)/4*-14?
-5
Evaluate 2715/180 + (-44)/528.
15
What is (1 + 1 + 23/(-4))*184/1104?
-5/8
Calculate 55/102 + 204/(-5202).
1/2
What is the value of (0 + 160/(-30) + 4)*(-21)/182?
2/13
((-4)/(-7))/((140/(-1568))/(-5)*2)
16
What is (40/(-60))/((-438)/270 + (-10)/(-6))?
-15
(-18)/(-12)*(264/(-42) - (-6)/21)
-9
Calculate -11*1 - (493 - 485).
-19
What is ((-143)/6864)/(6/(-8))?
1/36
What is (-3460)/2076 + 0 + (-4)/(-6)?
-1
4 - 96/33 - 9834/363
-26
What is the value of (-3)/(56/(24/(-3)))?
3/7
What is the value of ((-316)/(-65))/(2/(-5)) - 8/(-52)?
-12
Evaluate (-34)/(-187)*66 + (-1 + 0)*-5.
17
Calculate 946/330 - 2/(8/12).
-2/15
Calculate (108/96 + -2)/(4/32) + 4.
-3
What is (-2*(-6)/32)/(32 - 1590/50)?
15/8
Calculate -4 + 3/(12/68) + (-160 - -160).
13
Calculate 17 + ((-1850)/58 - (-146 - -131)).
3/29
What is the value of -9 - (3 - (-180)/(-50))*5?
-6
Calculate 0/2 + 8/(-24)*(-3)/17.
1/17
What is the value of -7 + -111*7/(-105)?
2/5
What is the value of 185/3515 - (-9)/551?
2/29
3*16/(-72)*(-2 - (-2)/4)
1
(-8466)/(-332)*8/(-34)*8/(-78)
8/13
Evaluate 12 + 672/(-40) - -3.
-9/5
(196/36 + -6)*(1 - (-301)/(-70))
11/6
Evaluate (-70)/(-44)*-2 - (-253 - -250).
-2/11
What is 99224/10990 + 5/(20/(-36))?
1/35
Evaluate 24/(-420) + ((-18)/150)/(14/(-2690)).
23
What is ((-3536)/(-765))/(-13) + (-8)/(-10)?
4/9
What is the value of ((-6)/20)/((-249)/8134) + 27/(-15)?
8
What is (-978)/296 + (-52)/(-16)?
-2/37
Evaluate (12/108)/(33/(-5643)).
-19
Evaluate 37/((-555)/9) - (0 + 54/10).
-6
What is the value of -2 + 93/42 - 140/(-280)?
5/7
What is the value of (-17)/3*-1 - (16/(-12) - 0)?
7
42*(226/(-4859) + 184/258)
28
Calculate 196/588*(-6)/(-10).
1/5
Evaluate 410/14 - 24 - (-1)/((-14)/4).
5
(-14)/(-175) + 173/25
7
Calculate 145/(-6) - (1204/2064)/((-14)/(-20)).
-25
What is (28/15190*-5)/(2/14)?
-2/31
What is (-24)/12 - 11 - (7 + -6)?
-14
(-451)/(-245) + (-145)/87 + (-4)/30
2/49
Calculate (-18)/(-21) + 11446/(-826).
-13
Evaluate (-8 + 1)*(-45)/(-21).
-15
What is (-12)/(-6)*4*(-3)/96?
-1/4
What is 50*(-27)/(-45)*(-2)/4?
-15
(15 + (-1092)/70)*2/6
-1/5
What is the value of -2 + (-16 - 0/10)?
-18
What is 95/285*((-2)/(-3) - (-33)/(-9))?
-1
What is (-1355)/(-50) + -25 - 2?
1/10
What is the value of (0 - 1)/(12/(-264)*1)?
22
(0 - -22)/(24 - -3 - 29)
-11
294/30 + -9 + (-48)/(-15)
4
Evaluate 6655/4356 + (-21)/12.
-2/9
What is -28*(37 + (-2915)/77)?
24
Calculate 7*(((-98952)/(-43316))/(-38) - 2/(-26)).
2/17
Calculate (14/6 + -2)*33/(-1).
-11
Evaluate (-6)/124*124/279*-3.
2/31
Calculate (24/(-12))/((-4)/(-46)).
-23
Evaluate (-4)/(-9) + ((-42770)/(-117))/(-35).
-10
Calculate -10 - 2*(-7)/(42/(-15)) - 1.
-16
What is -11 + 8/(-6)*1 + (-12)/18?
-13
Calculate (-12 + 7)*34/(-425).
2/5
(-14 - -16) + 10 + 10
22
What is the value of (1 + 5)*((-8)/9)/(-59 + 55)?
4/3
What is the value of -14*(-3)/2*1356/791?
36
Evaluate -9 + 2844/396 - (12/(-22))/(-3).
-2
What is the value of 15/(270/56) + 28/(-27 - -13)?
10/9
What is the value of 291/15 + 16/(-90) + 56/(-252)?
19
Evaluate (-2)/(((-40)/16)/5).
4
Evaluate 12/30*(-2 - -4).
4/5
Calculate 36*(-42)/(-168) + 6.
15
Evaluate ((-3)/(-36))/((-38)/2 - (-25538)/1356).
-1/2
(-12)/(-2) + -1 - (-101 - -100)
6
What is (2 + -5 + 169/91)/1 + 2?
6/7
-17 + (11 - 5 - -13)
2
Calculate ((-21)/(-12) + 2)/((-582)/388).
-5/2
What is the value of ((-4032)/19845 + 10/45)*(-10)/8?
-1/42
What is the value of 52*(12/54 - 1/(-36))?
13
(9 - (-690)/(-70))*(-42)/(-45)
-4/5
Evaluate (66/(-216)*6)/(0 - (-1)/(-6)).
11
Evaluate ((-35)/(-10))/(-1 + (-9)/(-2) + -3).
7
What is the value of 6*44/(-110)*5?
-12
What is (1273/57 - 22)*(-34 + (-1 - 1))?
-12
Calculate -1 - (-6)/(780/91).
-3/10
What is the value of (-198045)/4401 + 16 + 0/1?
-29
(-16 - (-19 + 58)) + 34
-21
What is the value of (-117)/2*1216/(-3952)?
18
What is (-21)/((-28917)/90)*18*6/180?
2/51
What is -6*14/18*(-5)/((-30)/(-9))?
7
(-11920)/745 - (18/(-2) - 2)
-5
What is (-4 - 1)*(-1869)/445?
21
28/12*(-23)/322
-1/6
Calculate ((4437/68)/(-29))/((-3)/(-4)).
-3
Evaluate (-66)/(-18) - 46/69.
3
Calculate ((-470)/(-6768))/(10/(-6)).
-1/24
210/28*-2 + -2
-17
What is the value of (66/4)/((-2604)/(-1736))?
11
What is the value of 6/20 + ((-1)/(-36))/((-225)/4230)?
-2/9
What is the value of 16 + 1*-4*(206 - 199)?
-12
What is (-154)/(-1232) + (-6)/16?
-1/4
What is (-11)/((-99)/(-15)) + 4*(-29)/(-36)?
14/9
What is the value of (160/(-55) - (-2 + -1))*156/39?
4/11
What is 177023/(-275880) + -2 + (-38)/(-16)?
-4/15
Calculate 4/(8/(-11))*(447 - 443).
-22
(228/(-18))/1 + (-615)/(-369)
-11
What is the value of 24/((-1080)/145) + 2/9?
-3
What is the value of -3*(8 + -2) - (-24)/(-6)?
-22
What is the value of 3/9 + 170/102?
2
((-1074)/(-84) - 2/7)/((-5)/(-10))
25
(-4)/44*1 + -5*(-860)/(-1100)
-4
Evaluate 1 + 4 + 27/(-9) - -6.
8
Evaluate 5/4 - 530/1272.
5/6
What is the value of ((-3)/2790*-45)/(3/(-2))?
-1/31
Calculate -20 - 5/(55/22).
-22
165/396 + 232/(-96)
-2
What is ((-1)/4)/(((-396)/(-42))/((-128)/(-56)))?
-2/33
Evaluate (-2 + 76/36)*(-7 + 4).
-1/3
4 + 1/3 - 22/66
4
0/(-25) - 6/(-21)
2/7
What is (57/(-6) + 9)*((-6)/45 + 0)?
1/15
Evaluate 307/(-1535) + (-89)/5.
-18
20/270*-30 - -3 - 1
-2/9
What is 51600/1720 - (30 + 0)?
0
-1 + ((-27)/(-72))/(3/40) + -8
-4
Evaluate ((-1050)/875)/(((-1)/50)/(2/(-6))).
-20
What is 17*13/(-13) - -24?
7
Evaluate ((-18)/(-16))/((-14943)/(-4688)).
6/17
Evaluate (-5)/210*-12 - (-20)/(-1085)*19.
-2/31
What is (-1)/((-4)/(-3 + -1))*(3 - -2)?
-5
Calculate (-258)/559 + 10794/(-273).
-40
Calculate (-1 + 3)/(4/264*2*-6).
-11
Evaluate 1/9 - ((-289)/4335)/(6/(-10)).
0
What is (-191404)/8780 + 6/(-5)?
-23
What is the value of ((-16)/(-64))/(305/100 - 4 - -1)?
5
(-60104)/(-16588) + 8/26 - 4/1
-2/29
What is -9 + 2763/126 + -13?
-1/14
What is (-6 - 0)*(0 + 280/(-36) - -8)?
-4/3
Evaluate (3 + -5)*(-5)/50*(-1 - -1).
0
Evaluate ((-32)/(-5))/(952/(-1190)).
-8
What is 1/(-2)*(-17)/323*-19?
-1/2
36 - 4290/117 - 4/(-5)
2/15
(2 - (-50)/(-28))*8/(-12)
-1/7
What is (14/119)/((-396)/(-7854))?
7/3
Calculate ((-2)/(-8))/(-2 - -21 - 15795/780).
-1/5
Calculate (-3)/15*5 + (6 + -5 - 9).
-9
((-4)/18 + (-200)/180)*1/(-2)
2/3
Calculate 6/120*4*8/24.
1/15
What is (266/(-57))/(10/(-12) - 6/(-4))?
-7
What is the value of (-6)/(-8) + 3608/352?
11
Evaluate 3/1*(570/(-9))/(-38)*-2.
-10
Calculate ((-9)/(-2 | {
"pile_set_name": "DM Mathematics"
} |
5*x, -3*z - o*z = -2*x - 16 for x.
-3
Suppose -2*a + 6 = -0*a. Suppose -s = a*s - 12. Solve 2*l - s*f = -6*f + 4, -2*f - 19 = -3*l for l.
5
Let i(a) = a**2 + 8*a. Let k be i(-7). Let g = -5 - k. Let l(j) = j - 7. Let n be l(9). Solve g*t - u = 2*u - 7, 3*t + 4*u = -n for t.
-2
Suppose -11*j + 12 = -7*j. Suppose -2*n - j*s + 43 = 2*s, -4*s - 91 = -5*n. Solve 9 = -u + 3*p, u = 4*u - 5*p + n for u.
-3
Let f(o) = -o + 7. Let s = 1 - -4. Let u = s - 0. Let p be f(u). Solve 2 + 0 = -p*g + q, 5*g + 6 = 2*q for g.
-2
Let l(n) = -n**2 - 8*n - 5. Let s be l(-4). Suppose -m + 0 - 2 = 0. Let b be m + (-4)/(8/(-14)). Solve -3*z + 6 + 3 = a, -z = b*a + s for a.
-3
Suppose -3*d + 3*n = -d, 4*n = 8. Let r = 7 - d. Solve -p - 2*k + 14 = 0, k + 4 = -r*p + 5*k for p.
4
Let l(g) = -g**3 + 8*g**2 + 2*g - 11. Let r be l(8). Solve r*s = 3*v - 9, -s = -4*v + 2*v + 6 for v.
3
Let r(x) = -x**3 - 3*x**2 - x - 1. Let l be r(-3). Let b = -40 - -50. Solve -l*p - m + 8 - 1 = 0, 4*p - 2*m = b for p.
3
Let f be (-3)/(-1 - 2) + -2. Let m be (1 + 0)*f/(-1). Let k = m + 2. Solve -k*h + 2 = 2*g, h + 3*h = 0 for g.
1
Suppose -5*h + 72 = -4*g + 28, g - 2*h + 14 = 0. Suppose -2*c = -3*c. Let v = c - g. Solve 4*m + v = -n, -5*n = 3*m - 0 - 4 for m.
-2
Let m = -42 - -45. Solve 5*w - 29 = u - m*u, -4*w + 28 = 4*u for w.
5
Let a = -11 - -13. Suppose 0 = 4*h + h + 90. Let m = h + 32. Solve -2*j - a*t = -4, -5*j = -0*j - t + m for j.
-2
Let h be (2/3)/((-2)/(-15)). Solve 3*s = 3*x - x - 2, -h*s - x = -1 for s.
0
Let s be 4 + -2*(-3)/2. Let x be 6/(0/(-2) + 2). Solve 4*n = -s*t + 2*t - 41, 0 = x*t + 3*n + 27 for t.
-5
Suppose -4*p + 25 = p. Let y = -18 + 28. Let k be 24/15*y/4. Solve p*x - 5 = 0, x - k - 7 = -5*r for r.
2
Let f(b) = 7*b. Let l be f(1). Let m = l + -5. Suppose -m*o + 2 = -0*o. Solve o = y - 3*u, 0 = -u + 4*u - 3 for y.
4
Let j = 98 + -94. Solve -3*d = -5*u + 13, -j*u + 7 + 1 = 0 for d.
-1
Suppose 1 = w - 1. Solve -4*c - 2*m = -24, w*c + 3*m = m + 14 for c.
5
Let f = -120 - -176. Suppose o + o = f. Solve -5*i - 2*q = o, -q + 8 = -5*i + 2*q for i.
-4
Let l(q) = -4*q**3 + 2*q**2 - 1. Let o be l(-1). Suppose o*i - 48 = -18. Solve 4*f - i*r + 5*r = -17, -3*f = -r + 14 for f.
-3
Suppose 3*x + z - 5 = 0, -2*x + 5*z - 24 = 1. Solve x = -m + 4*m - 12, -2*j - 12 = -5*m for j.
4
Suppose 2*f + 4*o + 52 = -f, 0 = -2*f + 3*o - 29. Let p = 43 + f. Let i be (4/(-6))/((-3)/p). Solve -5*w - 4*q = 17, 3*q = 3*w - 0*q - i for w.
-1
Suppose -17*d + 19*d = 4. Solve 4 + 3 = -3*z + 2*w, 0 = 2*z - d*w + 2 for z.
-5
Let p = -2 + 2. Suppose 0 = 2*f - p*f - 12. Solve 0 = -o - 3, o = -4*t + f*o - 1 for t.
-4
Let t be 6/(-15) + (-14)/(-10). Let a = -5 - t. Let k be a/9*(-3 - 0). Solve -4*o + 4 = 2*n, 2 = 4*o - k*o + 4*n for o.
1
Suppose 4*x - 2*a - 56 = 8, -8 = -4*a. Solve -4*h - x = 5*n, 13 = -2*n + n + 4*h for n.
-5
Let z(q) be the second derivative of q**4/12 - q**3/3 - 3*q**2/2 - q. Let m be z(-2). Solve 3*a - 2*f = 7, 5*a + 4*f = 46 - m for a.
5
Suppose 0 = -b + j + 11, -b + 17 + 4 = -3*j. Solve 0 = 2*k + 3*q - 2, -b = -k - 3*q - 2 for k.
-2
Suppose j - 14 = 4*q - q, 4*q = 3*j - 37. Suppose -2*d = m - j, 6*d - 2*d - 2 = 2*m. Solve 4*c - 4 = 0, -4*h + d*c + 0*c = 7 for h.
-1
Suppose -3*h - 2*h + 21 = 2*d, 15 = h + 4*d. Solve 25 = -4*p - p, -5*g = h*p - 10 for g.
5
Suppose 2*o + 2 = -2. Let n be (o/5)/(8/(-40)). Solve -x - l = -n*x + 4, 0 = -3*x + 5*l + 20 for x.
0
Let c(m) = m + 29. Let o be c(-16). Solve 0 = 4*w - k - o, w - 2*k + 2 = 7 for w.
3
Let c(p) = -p**3 - 3*p**2 + 4*p + 4. Let q be c(-4). Let o(w) = 9*w**2 - 2*w + 2. Let h be o(2). Solve -3*l + h = -8*l + 3*j, -4*l - q*j = 8 for l.
-5
Let g(y) = 8*y + 16. Let k be g(-2). Solve 5*b + 7*o - 2*o + 10 = 0, k = -4*b - 3*o - 8 for b.
-2
Suppose -3*x + 5*x = 16. Let q be -4*x/6*-3. Suppose 0 = -0*k + 4*k - q. Solve 16 = -4*o, -c + 6*c - 41 = k*o for c.
5
Let o = 1 - -4. Suppose 3*k + 4*u - 2 = 2*u, -45 = -5*k + o*u. Let h = -22 + 24. Solve -16 = -h*q + 4*t, k*q = q + 2*t + 12 for q.
2
Suppose -5*d = -2*v - 61, 4*v - 106 = -5*d - 33. Solve 0 = -j - 5*r + 19, j + 2*j = -4*r + d for j.
-1
Let i be -4 - ((-28)/(-2))/(-2). Solve -i*c + 0*c - o = 20, -2*o = 2*c + 20 for c.
-5
Suppose 0 = 5*w + a - 13 - 1, 0 = 3*w - a - 10. Solve -w = -p + k - 4, -2*k + 6 = 2*p for p.
1
Suppose -o + 13 = 2*y, 0 = 2*o - 3*o + 3*y - 12. Suppose w + o*l - 5 = -3*w, -5 = -5*w - 5*l. Solve 0 = -w*s - 3*u - 8, -3*u = -3*s - 6 + 24 for s.
2
Suppose 2*y - 16 = -2. Let n be 57/21 + 2/y. Suppose -d + 6*d + 32 = 3*x, -x - d = -8. Solve -5*t = -m + 4 + x, n*m + 2*t = 5 for m.
3
Let r = 4 - 3. Suppose 0 = 3*k - 3*z - 2 - r, -32 = -5*k - 4*z. Solve l - 2*x = -k, 5*l + x = 13 - 0 for l.
2
Suppose s + 3*p - 9 = 0, 2*s + 3*p - 14 = p. Solve -3*l + 3*w = -s - 0, 3*l + 2*w = 1 for l.
1
Let c be -3 + 5 + (-1 - -1). Suppose -b - 10 = -t + 4*b, b + c = 0. Solve t = 4*v + 5*g - g - 20, -18 = 2*v - 5*g for v.
1
Suppose -h - c = -7, 0*c = 5*h - 5*c + 5. Suppose -h*m = -0*m. Let a(u) = -u + 4. Let j be a(m). Solve j*s = -2*f - 16, -3*f + 8 = -2*s - 2*f for s.
-4
Let q = 59 - 58. Solve 2*l = -3*a - 0 - q, 5*a + 3*l + 2 = 0 for a.
-1
Let s be (-7)/(-2) - 1/2. Suppose 2*k - 4*f + 12 - 36 = 0, 4*k - 3*f - 28 = 0. Let g be 1/(2/k)*4. Solve -3*r = -6, -s*n + 2*n + g = 3*r for n.
2
Let c = -183 - -187. Solve -f = f + 5*j + 29, 3*f + c*j + 26 = 0 for f.
-2
Suppose -m - 20 = -5*m. Let d(y) be the first derivative of -y**4/4 + 7*y**3/3 - 7*y**2/2 + 9*y + 1. Let v be d(6). Solve -v*a = -0*h + 2*h + 8, 5*h = -m for a.
-2
Let t be (2/4)/((-1)/(-16)). Suppose 10*d - 8 - 22 = 0. Solve d*v = 5*u - t, -3 = -4*u - 5*v + 4*v for u.
1
Suppose 9*o - 80 = 4*o. Solve 0 = 5*j + 3*r + 4 + o, 3*r + 10 = 5*j for j.
-1
Let o be (3 + -6)*(-1)/1. Solve 0 = -2*w - 2*m, 0 = -2*w + 5*m - o*m - 16 for w.
-4
Suppose -13*z = -7*z - 126. Solve 5*h + 41 = -2*k + 6*k, -5*h = k + z for k.
4
Let g(k) = 2*k**2 + 7*k. Let v be g(-4). Solve -v*x - b - 5 = 0, -3*x - b + 3 = 2*b for x.
-2
Suppose -3*w - 2*w = 0. Let g be (w - 1)/((-2)/38). Suppose -18 = -r - 3*h, -g = -3*r - 0*h - 2*h. Solve 3*l - 30 = 3*d, r*l = 2 + 13 for d.
-5
Let h be (-20)/6*-1 + 10/15. Solve 5*n + 4*f - h = 5, 3*n - 5 = -2*f for n.
1
Let c(q) = 2*q + 5 + 1 - 5. Let m be c(3). Suppose -r + l + m - 2 = 0, 5*r - 2*l - 10 = 0. Solve -3*o + r*o = -4*f + 14, 2*f = 2*o + 8 for f.
2
Let h = 22 - 22. Suppose h*w = -5*w. Let i(f) = -f**2 - 5*f - 2. Let a be i(-2). Solve a*u + 20 = w, 2*o - 5*u = 9 + 16 for o.
0
Suppose -2*t + 0*d + d + 7 = 0, 5*t = -3*d + 23. Let p(m) = -23*m + 1. Let k be p(1). Let u = k - -41. Solve t*x = -3*n + 24, -x - 4*n + u = -0*n for x.
3
Suppose -10 = -d - 4*d. Solve q = -y + 1, -d*y + 5*q + 2 = -0 for y.
1
Let m be 8/3*6/4. Let f = -4 + m. Suppose -4*v + 2*x + 12 = -f*x, -22 = -4*v - 3*x. Solve 2*t - 11 = -3*u - 2*t, 5*t = v*u + 6 for u.
1
Suppose d = -2*a + 6 + 6, -4*d + 3*a + 4 = 0. Solve -2*o - d*t + 0*t = 20, 0 = -4*o - 5*t - 25 for o.
0
Suppose 84 = 30*p - 2*p. Let a be -1 + 5 - 4/2. Solve a*g + 5 = -s, 14 = -p*s + 4*g - 1 for s.
-5
Let d(x) = 7*x + 18. Let i(n) = 4*n + 9. Let t(j) = 3*d(j) - 5*i(j). Let r be t(-9). Solve -3*s + g = -r*s - 8, -g = -s + 6 for s.
1
Let v(j) = j**2 + 3*j + 3. Let z be ((-3)/(-1)*-1)/1. Let b be v(z). Solve b*l + 6 = -3*i, 4*l = 3*i + i for l.
-1
Suppose 0 = 3*z + 5*m + 4, -3*z - 3*m - 12 = -0*z. Let f = 11 + z. Solve 2*y = 4*h + 4, 2 = 4*y - 2*h - f*h for y.
-2
Suppose 0 = -2*d - d + 39. Let o = -1 + 3. Suppose -2*m + 5*q - o = 0, -7 = -4*m - 5*q + 19. Solve -3*a + 3*h = 2*h - 18, 0 = -5*a - m*h + d for a.
5
Let p(z) = 2*z + 11. Let s be p(-4). Solve 0 = 5*h + s*d - 4, 0 = -3*h + 6*h + 3*d for h.
2
Let j(k) = -4*k**2. Let l be j(-1). Let s be l/(-4) - (1 + 136). Let b be s/(-36) - 4/(-18). Solve -4*z + 5*c - 6 = -4, b*z - 10 = -c for z.
2
Let s(b) = b**2 - 2*b. Let j be s(3). Solve -9 = -5*r + 5*o - 39, -j*r - 5*o + 22 = 0 for r.
-1
Let z be 4/(-4)*(1 + -12). Solve g + 2*h + z = 5*h, 4*h = 16 for g.
1
Let q be -1*(1 + 2)*-3. Let k be (q/(-6))/(3/(-8)). Solve -2*i - k*y + 0*y = -16, 3*i - 2*y = 0 for i.
2
Let l be ((-6)/8)/((-3)/8). Solve 3*h + 26 = -4*o + 9, l*o = -h - 7 for h.
-3
Suppose 4*j - 7 = 5*q, 2*j = -3*j + 5*q + 10. Suppose 0 = -u - 2*r + 1, 4*u + 9 = -5*r - 2. Let w = -5 - u. Solve -2*o + w*n + 11 = | {
"pile_set_name": "DM Mathematics"
} |
r is positive.
r**(-30/11)
Simplify (o**18)**(-1/5) assuming o is positive.
o**(-18/5)
Simplify k**(4/9)*k/(k/k**(-1/4)) assuming k is positive.
k**(7/36)
Simplify ((t**(-3/8)/t)/((t/t**6)/t))/(t**(-1/6)*t*t/(t/(t/t**(2/7)))*t*t) assuming t is positive.
t**(181/168)
Simplify w**(1/2)*w*w/w**(1/5)*w/((w**(-9)/w)/w)*w**(-2/5) assuming w is positive.
w**(139/10)
Simplify (h/h**8)/((h/(h/(h*h**(-20))))/h) assuming h is positive.
h**13
Simplify (l*l*l/(l**(-3)/l)*l)**49/(l/l**(-2/11))**(-26) assuming l is positive.
l**(4650/11)
Simplify ((g*g*g/g**(-7))/g)/(g**(-5)*g*g) assuming g is positive.
g**12
Simplify (s**(-1/3)*s**(-4/3))/(((s**(-3/5)/s)/s)/s**(1/5)) assuming s is positive.
s**(17/15)
Simplify (d/(d/(d/d**(2/9))*d)*(d/(d/(d*d**(1/2))))/d)**(-1/24) assuming d is positive.
d**(-5/432)
Simplify (((a/a**11)/a)/a**(-1/17))**(-7/13) assuming a is positive.
a**(1302/221)
Simplify g/g**(5/6)*g*g/g**(6/7)*g**(2/3)/g*g/(g/g**9) assuming g is positive.
g**(419/42)
Simplify y/y**(-2/5)*y*y**0*(y**(-1/10)*y)/((y**(2/9)/y*y)/y) assuming y is positive.
y**(367/90)
Simplify k**(8/7)*k/(k*k/k**(-13))*k assuming k is positive.
k**(-83/7)
Simplify l**(1/10)/l**(-2/35) assuming l is positive.
l**(11/70)
Simplify (s/(s/((s**(-1/4)*s*s)/s)))**46/(((s**(-1/3)/s)/s)/((s*s*s*s*s**(3/5)*s)/s)) assuming s is positive.
s**(1243/30)
Simplify b**(10/7)/b**(-20) assuming b is positive.
b**(150/7)
Simplify t**(-10/11)/t**11 assuming t is positive.
t**(-131/11)
Simplify (j**(-6/11)*j)**(-9/2) assuming j is positive.
j**(-45/22)
Simplify (m/m**5)**(2/49) assuming m is positive.
m**(-8/49)
Simplify ((a/(a/a**10))/a)/a**(6/17) assuming a is positive.
a**(147/17)
Simplify (g/g**(-8)*g)/g*g**(1/12)*g**(-3)*g/(g/(g*g**(-1/6)*g)) assuming g is positive.
g**(95/12)
Simplify ((m*m**(-1))/(m*m*(m*m*m*(m*m*m*m*m*m*m**(3/8))/m*m)/m))/(m/(m/(m/(m/(m/(m*m**(-2))))*m))*m**(-7)) assuming m is positive.
m**(-51/8)
Simplify (s**(-5/4)/s**11)**(1/16) assuming s is positive.
s**(-49/64)
Simplify (p**(-11)*p)/p**(-1/5) assuming p is positive.
p**(-49/5)
Simplify (t*t*t**(-2/17)*t*t**(-8)*t)**2 assuming t is positive.
t**(-140/17)
Simplify ((p**(-3)*p)/p)**(1/19) assuming p is positive.
p**(-3/19)
Simplify (((b/(b/(b**(-1)*b)))/b)/b)**(-15)/((b/(b*b*b*b**(-4)*b*b))/b**(5/2)) assuming b is positive.
b**(65/2)
Simplify ((h**5)**(4/13))**41 assuming h is positive.
h**(820/13)
Simplify (d**1*d**(3/7))**(-50) assuming d is positive.
d**(-500/7)
Simplify ((o*o*o*o**6)/o**(-13/4))**(-1/30) assuming o is positive.
o**(-49/120)
Simplify n**(-29)/((n*n*n**(7/3))/n) assuming n is positive.
n**(-97/3)
Simplify ((f**(-2/15)/f)**(-26))**3 assuming f is positive.
f**(442/5)
Simplify (t*(t/(t*t**(1/4)*t)*t)/t*t*t*t**(1/16))/(t**(-7)*t/t**8) assuming t is positive.
t**(253/16)
Simplify y*y**(-1/10)*y**(-19)*y assuming y is positive.
y**(-171/10)
Simplify (n/(n**(2/5)*n*n)*n)/(n**0*n*n*n)*(n*n**(-1))**(-15/2) assuming n is positive.
n**(-17/5)
Simplify g**(2/13)/(g**(-7)/g)*((g*g/(g*g/(g**(-9/2)*g)*g)*g)/g)/g**(1/11) assuming g is positive.
g**(1019/286)
Simplify (o*o*o**(-4)/o)**(-2/21) assuming o is positive.
o**(2/7)
Simplify i**3*i/(i/i**(2/21))*i**(-1/10)/i**(-2/13) assuming i is positive.
i**(8597/2730)
Simplify (j**(-2/11))**(-5) assuming j is positive.
j**(10/11)
Simplify ((d/(d**(2/15)*d))/(d/(d/(d*d**7))))/(d*d**3*d*(d/d**(-1))/d) assuming d is positive.
d**(-212/15)
Simplify (t**(1/18)*t)/(t/t**(-1/23)) assuming t is positive.
t**(5/414)
Simplify ((q/q**(-7))/q**0)/(q**(-3)*q**(-1)) assuming q is positive.
q**12
Simplify (j*j*j*j**(-3))/(j*(j/(j/j**(-1/4)))/j)*j**6/(j/j**(1/3)) assuming j is positive.
j**(67/12)
Simplify (z*z**(-1/15))/(z*z/(z*z**(17/2)/z)) assuming z is positive.
z**(223/30)
Simplify (a**(-1/6))**42 assuming a is positive.
a**(-7)
Simplify (j*j*j**(4/7))**(-28) assuming j is positive.
j**(-72)
Simplify j**6*j*j/(((j/j**9)/j)/j)*j**(-9)/j**(-4/7) assuming j is positive.
j**(67/7)
Simplify (l*l**9)**(5/2) assuming l is positive.
l**25
Simplify (q*q*q**(1/3)*q/(q*(q/q**(-4))/q*q))/((q/((q*(q*q*q**3)/q)/q))/((q/(q*q/q**(2/21)))/q)) assuming q is positive.
q**(-11/7)
Simplify l/((l*l**(-2/15)/l*l)/l*l)*l*(l**(-17/3)/l)/l assuming l is positive.
l**(-98/15)
Simplify i/((i**(3/34)/i)/i)*i/(i/i**(11/3)) assuming i is positive.
i**(671/102)
Simplify n/n**4*(n*n**8)/n*(n/((n/n**7)/n*n))/(n**0/n) assuming n is positive.
n**13
Simplify a**(2/31)/a**5 assuming a is positive.
a**(-153/31)
Simplify y**(-24)/((y/((y**(-2/9)/y)/y))/y*y) assuming y is positive.
y**(-245/9)
Simplify (m/(m**(2/3)/m))/(m/((m/(m/(m**(-8/3)/m)))/m)) assuming m is positive.
m**(-13/3)
Simplify (w/(w/w**15*w))/(w/(w**(-8)/w)*w) assuming w is positive.
w**3
Simplify (a**(2/13)*a**(-5/3))/(((a*a/(a/(a/(a/((a/((a*a**(2/13))/a))/a))*a)*a)*a)/a)/a*a**(-3/4)) assuming a is positive.
a**(-95/156)
Simplify ((b**(2/5))**(-5/17))**(-39) assuming b is positive.
b**(78/17)
Simplify (z**(-1)/z**(3/10))/(z**(1/4)*(z/(z*z**(1/4))*z)/z) assuming z is positive.
z**(-13/10)
Simplify ((c**4)**(-34))**(-1/3) assuming c is positive.
c**(136/3)
Simplify ((((v**(-1/6)*v)/v)/v)/v)/v*v*v/v**(-1/34) assuming v is positive.
v**(-58/51)
Simplify x**(-4)*x**(2/65) assuming x is positive.
x**(-258/65)
Simplify (c**(24/7)*c)/(c/c**14) assuming c is positive.
c**(122/7)
Simplify w**24/w**(-20) assuming w is positive.
w**44
Simplify (c**0)**(1/65)/((c*c**(-5)*c)/((c*c**(4/13)*c*c)/c)) assuming c is positive.
c**(69/13)
Simplify (t/t**(-1/3))**(-1)*(t/t**(-8))/(t/(t*t/(t/(t*(t/(t/t**(-1/4)))/t*t))*t)) assuming t is positive.
t**(113/12)
Simplify (v**6)**(10/3) assuming v is positive.
v**20
Simplify ((m*m**10)/m)**36 assuming m is positive.
m**360
Simplify (f/(f/f**(2/7))*f)**(1/69)/(f**(2/3))**(-10/7) assuming f is positive.
f**(67/69)
Simplify k**2*((k/k**0)/k)/k*((k*k**(-6)*k)/k)/(k**(-3/5)*k) assuming k is positive.
k**(-22/5)
Simplify (y**(4/13)*y)/y**(9/7) assuming y is positive.
y**(2/91)
Simplify (m/m**(-1/2))/(m/(m**3*m))*(m**(-5)*m)/(m/m**(-5/3)) assuming m is positive.
m**(-13/6)
Simplify (f**(2/7))**20*f**(-10)*f/f**(-3/10) assuming f is positive.
f**(-209/70)
Simplify ((p*(p**(1/5)/p)/p*p*p)/(p/(((p*p**(-1/13)*p)/p)/p*p)))/((p**(1/9)*p)/(((p/(p**(-2/3)*p*p*p))/p*p)/p*p)) assuming p is positive.
p**(-773/585)
Simplify (c/(c*(c/(c*c**(3/10)*c))/c))**13 assuming c is positive.
c**(299/10)
Simplify (((l/(l**(-1/5)/l)*l)/l)/l)/(l/(l*(l**(-2/3)*l*l*l)/l)*l)*l**(-4)*l*l**4 assuming l is positive.
l**(38/15)
Simplify (p**(-6)/(p**(-8)/p))/((p**(2/19)/p)/(p/(p**4*p))) assuming p is positive.
p**(-2/19)
Simplify y*(y*(y/y**(-10))/y)/y*y*y/y**(2/43) assuming y is positive.
y**(557/43)
Simplify (u/(u/(u**(1/5)*u*u)))**32/((u/(((u/(u/(u*u**9/u)))/u)/u)*u)/(u**(1/9)/u*u)) assuming u is positive.
u**(3398/45)
Simplify y**(2/7)/(y**(-13)/y) assuming y is positive.
y**(100/7)
Simplify y*y*y*y/y**19*y**4 assuming y is positive.
y**(-11)
Simplify (c**(-2))**25 assuming c is positive.
c**(-50)
Simplify r*r**13*r**(1/8) assuming r is positive.
r**(113/8)
Simplify (((h**(6/11)/h)/h)/h*h*h/(h/(h/(h*h/(h**1/h)))))/(h/(((h**(-2/9)/h)/h*h)/h))**(-49) assuming h is positive.
h**(15388/99)
Simplify (g/(g**(-6)/g)*g*g*g**(2/13)/g*g)/(g**(1/10)/(g/(g/(g*g**(3/11)/g*g)))) assuming g is positive.
g**(16197/1430)
Simplify (a*a/a**0)**8/(a**6*a*a*a*a*a/((a**(2/23)*a)/a*a)) assuming a is positive.
a**(140/23)
Simplify ((a**(-7/3)/a)/a)**(-2/49) assuming a is positive.
a**(26/147)
Simplify (b/(b/(b/(b*b/(b/(b/(b/(b/b**(-5))))))))*b*(b/b**(-8))/b)/(b**(2/3))**(26/7) assuming b is positive.
b**(11/21)
Simplify s**(-20)/s*s**(8/9) assuming s is positive.
s**(-181/9)
Simplify ((x*x/(x/(x/x**(-8))*x))/x)/(x/(x**15*x*x)) assuming x is positive.
x**24
Simplify (s*(s/(s*s/(s/(s**(-2)*s*s))))/s*s)**(3/22)/(s/(s**1*s*s))**(7/10) assuming s is positive.
s**(169/110)
Simplify (b/(b/(b*b**1*b)))**(2/9)*(((b*b**(3/2))/b)/b)/((b*b**1)/b*b) assuming b is positive.
b**(-5/6)
Simplify (u**(-1/8)*u*u**8*u)/(u**(-2/5)*u/((u/(u*u/((u**(2/5)*u)/u)))/u)) assuming u is positive.
u**(307/40)
Simplify (h**(1/23)/h)/h*h**(-5/3) assuming h is positive.
h**(-250/69)
Simplify (v*v*v*v**0/v*v*v*v*v*v**(-6/5)/v)/((v*(v**(2/5)/v)/v)/v*v**8) assuming v is positive.
v**(-13/5)
Simplify (i**(-1)*i)/(i*i**(-3/14) | {
"pile_set_name": "DM Mathematics"
} |
0). Solve 0 = -2*q - 6, 3*q + 1 = -y*j - 0*q for j.
2
Let n be (8/(-10))/(-3*4/120). Let i(c) = 10 + 2*c**2 - 3*c**3 + 7*c + 5*c**2 + 2*c**3. Let g be i(n). Solve 2*f - 3*x - 2*x = 17, -g*x + 6 = -4*f for f.
-4
Suppose 5*k - 9 = -r + 5*r, 0 = 4*r - 16. Let d(n) = k*n + 4*n**2 - n + 3*n - n**3 - n. Let q be d(5). Solve 0 = c - q*c + 2*p + 4, -c = -3*p - 1 for c.
1
Suppose -16*s - 12 = -22*s. Suppose -8 = -s*p - 4. Suppose -6*o = -o. Solve 2*f = 5*y - y, o = -f + 4*y - p for f.
2
Let h = -5 + 7. Suppose -27*g = 12 - 147. Solve -h*y - 2*o = 8, -g*o = -y + 10 + 4 for y.
-1
Let z(j) = j**3 - 6*j**2 + j + 6. Let a be z(6). Let v = a - 8. Solve 2*k + 3*k - 26 = -v*m, -4*m = k - 18 for m.
4
Suppose 3*c - 12 = 0, -c = q + 2*q - 16. Suppose -5*z + 3*m + 2*m = -5, 3*z - q*m = 4. Solve z = -3*u + 4*g - 4, -5*u - 2*g + 38 = 10 for u.
4
Suppose 4*y = f + 1 + 6, -4*y + 22 = 2*f. Let v(p) = p**3 - 5*p**2 - 1. Let u be v(6). Solve 3*o = 2*x - 2*o + u, 2*x - 15 = -f*o for x.
-5
Let w = -75 + 83. Let h(d) = d**3 - 8*d**2 + 2. Let x be h(w). Solve -3*u = 0, 4*g - 4*u - 2 = x for g.
1
Let l(o) = 2*o. Let k be l(3). Suppose -62*r + 44 = -40*r. Let b be 8/(-6)*36/(-24). Solve 0 = -b*q - r*x - k, -q - q + 5*x + 22 = 0 for q.
1
Suppose -d = -2*x - 1, 0 = 5*d - 3*d + 2*x - 8. Solve -5*z + n = 15, -5*z + 21 = -d*z + 5*n for z.
-2
Let a be ((-6)/9)/(2/(-15)). Suppose -24 = c - a*c. Solve 4*o = -2*y + c, 3*y + o + o = 9 for y.
3
Suppose -94 = -5*q - p, -4*q + 5*q - 18 = -p. Suppose -7*r + q = -6*r. Let d = 19 - r. Solve d = -4*x - 4*k - 17 - 3, x - 10 = 2*k for x.
0
Suppose 4*q - 11 = -4*d + 25, 3*d = q - 17. Solve -c = 5*k + 13, -4*c - k - q = -c for c.
-3
Let p(j) = 5*j + 87. Suppose -17*r - 189 = 100. Let o be p(r). Solve -w = 4*z - 13, -o*w + 4*z = -3 + 13 for w.
1
Let g(r) = r**2 - 61*r + 39. Let z(p) = p**2 - 30*p + 20. Let x(a) = -3*g(a) + 5*z(a). Let o be x(-18). Solve 2*i + 0*j + 3 = j, 3*i + 5*j = -o for i.
-4
Let w(u) = -u**3 - 7*u**2 - 14*u - 9. Let p(t) = 2*t**2 + 13*t + 1. Let x be p(-6). Let j be w(x). Solve -3*b - 2*g = -g - 6, 0 = -2*b - 3*g + j for b.
1
Let o be (((-150)/35)/(-5))/(9/42). Suppose 2*k + 8 = 5*t + 3*k, 4*k + 16 = o*t. Solve 2 = -t*z, -5 = -4*g + 4*z + 7 for g.
2
Let l = 83 + -75. Suppose 5*z + l*m - 100 = 3*m, 5*m + 44 = 4*z. Solve 0 = -i + 5*f - 1 - z, 2*f = 8 for i.
3
Suppose 84 = -i - 3*i. Let l = i + 24. Let j(q) = -q**2 + q + 10. Let b be j(l). Solve 2*s = -b*z - 2*s + 28, s = z - 3 for z.
5
Suppose -9*l + 12 = -6*l. Let v be l*(78/108 - (-4)/(-18)). Solve -4*g + 20 = 4*f, -f - f + 2*g = -v for f.
3
Let k = -187 - -297. Suppose 2*i - 50 = n + 3*n, -4*i = -3*n - k. Solve 3*m = -m - 4*z + 36, -z = 5*m - i for m.
5
Suppose -2*r - 3*r - 4*y = -153, 2*r - 3*y - 52 = 0. Solve -4*s + 2*d + r = 1, -2 = 2*s + 3*d for s.
5
Let l(m) = 9*m + 2. Let p be l(2). Let d(c) = c**2 - 11*c - 10. Let t be d(12). Let b be (-5 + t)*(-2)/3. Solve 0 = -5*w - 4*z - p, -b*w + w - 4 = 4*z for w.
-4
Suppose 4*j - 2*o - 92 = 0, 43 + 1 = 2*j - 2*o. Solve 5*l - 5*c = -c - 36, 4*l - 2*c + j = 0 for l.
-4
Suppose -2*v + 4 = 4*p - 0, -11 = -3*v - p. Solve -7*a + 2*a - 1 = j, 0 = 3*j - v*a + 3 for j.
-1
Suppose 2*o - 40 = -5*p, -4*o + p - 2*p + 80 = 0. Suppose -3*h - 2*h = -o. Suppose -c = -h*c + 9. Solve 4 = c*j + 10, -2*j = z + 6 for z.
-2
Let r be (14/(-4))/((63/(-14))/9). Suppose -r*m + 5*m + 8 = 0. Solve -x - 3*u = -5, 4*u - 1 = -m*x + 11 for x.
2
Suppose 0 = 5*c + 5*v - 300, 4*c + v = -c + 280. Let z = -53 + c. Solve -5 = -z*x + o - 2, -4*x + 3 = -5*o for x.
2
Suppose 19*p - 260 - 44 = 0. Solve f = -3*f - 5*o + p, -4*f = -5*o - 16 for f.
4
Suppose -g = -2*c - 202, 0*c - 829 = -4*g + c. Let d be (-14)/(-4)*g/28. Solve -d = 2*o + 4*t, -4*o - 5*t - 23 = 17 for o.
-5
Suppose 4*s = -a + 44, -a + 25 = -3*s - 5. Let l be 6/(-15) + a/15. Solve -2*h = 2*f - 10, l = 5*f - h - 5 for f.
2
Let v(b) = -b**3 - 11*b**2 + 12. Let o be v(-11). Let m be ((-4)/o)/(3/9). Let u be (m + -1)*(-1 - 1). Solve u*t + 4*l - 1 = 3*t, 3*l = 3 for t.
-3
Let f be 840/18 - 4 - 1/(-3). Suppose f - 37 = 3*t. Solve -5*r - 24 = -4*v, r - 4*v + 6 = -t*v for r.
-4
Let v be (48/21)/1 + 40/(-140). Solve 5 = 3*l - 5*l + b, -v*l = 2*b + 14 for l.
-4
Let b be 4 + 1 + -2 + -1. Suppose -v = q + 1 - 8, 5*v = -q + 19. Solve 0 - 4 = -v*z - b*h, -4*h + 6 = 5*z for z.
2
Suppose 4 - 9 = -g. Let t be (0/2)/(-2 - -1). Suppose -2*w + 2*j + 16 - 6 = t, -2*w - 4*j + 10 = 0. Solve w*a - 32 = 3*x, -g*a = -0*x + 3*x - 8 for x.
-4
Let d(u) = 3*u - 3. Let o be d(4). Solve -3*j - 2*t = o, 0 = -3*j + j + 3*t - 6 for j.
-3
Let k be 261/(-435) + (-9)/(-15). Let v(s) = s**2 - 2*s - 4. Let o be v(5). Solve k = 4*r - 3*f + o, 0 = -5*r + 4*f + 2 - 16 for r.
-2
Suppose 5*a + 102 = -4*w, -2*w = -3*a - 6*w - 58. Let o = a + 32. Let r be (-11 + o)/(2/(-4)). Solve 2*k + 3*h - 31 = -3*k, 0 = k + r*h - 9 for k.
5
Let a = -56 + 56. Suppose c - 6*c = -10. Let f = c + 3. Solve -j - 4*b - 13 = -a*j, -f*j = 5*b + 20 for j.
-1
Suppose -14 = -h - h. Let y = -1 + h. Let q = 4 + y. Solve 3*i = -3*a + 30, 0*a - 2*a - q = -4*i for i.
5
Let c = 7 - 12. Let l(o) = o**2 + 6*o + 8. Let z be l(c). Solve -5*r = -z*x + 2, 3*r = r - 4*x - 6 for r.
-1
Let s(j) = j**3 + 4*j**2 - 5*j + 5. Let w be s(-5). Let m be 9/1*16/6. Solve w*x + m = -q - 0, -2*x = -3*q + 13 for x.
-5
Suppose -4*g + 94 = -2*t - 0*t, -5*g + 3*t = -120. Suppose -5*z + 2*h = 5*h + 8, -4*z = 5*h + 9. Let r = z + 10. Solve 3*o = -b + r, -3*o - b + g = 4*b for o.
2
Suppose 44*n + 15 = 47*n. Suppose -n*q = 15, -4*y + 24 = -0*y - 4*q. Suppose 2*c - d - 6 = -0*d, 0 = 3*d - 12. Solve 3*o = 4*m + y, 5*m - 4 = o - c*o for o.
1
Let w be -14*-12*(-8)/(-448). Solve 25 = 5*q, -w*r + 2*r = q - 8 for r.
3
Suppose 5*q = 5*p - 385, 2*q + 5 = q. Suppose 18*r - p = 10*r. Solve 0 = 5*a - s - 19, 4*s = 2*a + 5*s - r for a.
4
Suppose 0 = 4*u, 0 = -b - 3*u - 16 + 6. Let z be ((-15)/(-2))/(2/(-4)). Let t = b - z. Solve 3*h + 2*g + 17 = -2*h, 0 = 5*h + 5*g + t for h.
-5
Suppose k - 3*y = -4, 2*y = -6*k + 4*k + 8. Let z be (k/3)/((-2)/(-15)). Solve 23 = -3*o - z*d, 2*o - 7*o = -3*d - 7 for o.
-1
Suppose 72*w - 67*w - 85 = 0. Solve -g = 3*o + w, -20 = o + o + 5*g for o.
-5
Let z be (-1)/(-7) + (-169)/(-91). Solve p - z*p + 5*a + 7 = 0, 5*a + 13 = 4*p for p.
2
Suppose 13*j + 20 = 59. Suppose 5*c - 3*f = 37, j = -c - 2*f - 0. Solve 4*m - 4*o + 9 = 1, c*m = 3*o for m.
3
Let y(t) = t**3 - 5*t**2 - 6*t + 2. Let s = 18 + -12. Let w be y(s). Let o = -5 + 10. Solve -k + 0*k + 2 = -o*c, 3*c + 9 = -w*k for k.
-3
Let d(i) = -3 + 4*i - 3*i - 3*i - 10. Let s be d(-9). Suppose 0 = -2*f - 0*p - p + 23, -5*f + s*p + 35 = 0. Solve 0 = -l + 4*g - 4, 4*l - g + f = -6 for l.
-4
Let d(h) = -h**2 + h + 8. Let f be d(3). Solve 33 = 5*c + 4*a, c + f = 5*a - 3 for c.
5
Let t = -21 + 10. Suppose -5*v + 138 = 4*d, -2*d - 3*d = 3*v - 166. Let a = d + t. Solve -2*b - 3*b - a = 4*n, -2*n = -2*b - 12 for n.
1
Suppose 1507*r - 1510*r + 78 = 0. Solve 0 = -2*a - 4*g - r, 11*a - 7*a + 4*g + 36 = 0 for a.
-5
Suppose -2*l - 50 = 5*w - 85, 5*w - 45 = -4*l. Solve r = w*s + 7, -2*s - 3 = -3*r - 8 for r.
-3
Let b(x) = -2*x + 12*x**3 + 2*x + 2*x**2 + 4*x**3. Let t be b(-2). Let a be t/(-66) - (-4)/22. Solve 3*g + i + 23 = -g, -a*g - 7 = -i for g.
-5
Let l be (48/4)/(-11 - -13). Solve 3*g + l = 2*k - 6*k, -5*g + 13 = -k for g.
2
Suppose 2*t + 14 = 5*j, 0*j = -t - j. Let q be 4/t - (-6 - -7). Let c = -1 - q. Solve -5*w = -c*h + 11, -h + 6*w + 5 = 4*w for h.
3
Let p be (-1 - -2)/((-5)/75). Let j be p/6*24/(-30). Suppose -v + 0*r + 2*r + 13 = 0, -j*r - 1 = 3*v. Solve b = -d + 10, -3*b = 2*d - v*d - 10 for b.
5
Let y = -338 - -343. Solve -y*w = 4*c, -4*c + 16 = w - 0 for c.
5
Let y(v) = -v**2 + v - 1. Let w(m) = m**2 + 10*m - 14. Let p(l) = w(l) + 2*y(l). Let q be p(10). Solve 0 = j + 3*i + 11, j - 5*i - 1 - q = 0 for j.
-5
Let z = -351 - -356. Solve -z*l = -0*l + 5*w + 25, 3*l - 17 = 5*w for l.
-1
Let b be 44/110*(-45)/(-6). Solve 5*f - 8 = -b*j, 39 - 7 = -4*j + 4*f for j.
-4
Let w(q) = q**3 + 8*q**2 - 11*q - 2. Let n be w(-9). Solve n = 4*z + 5*d, 4*d = -2*z - d + 8 for z.
4
Let t be -4 + 13 + -8 - -3. Solve -t*n - 4 = f, -4*n - 12 = 9*f - 6*f for n.
0
Let h(n) = n**3 - 20*n**2 - 20*n - 21. Let m be h(21). Suppose -4*x = -3*x - 4*l - 20, m = -3*x + l + 38. So | {
"pile_set_name": "DM Mathematics"
} |
1 in 1/127, 29, 0.03, -4.6?
0.03
What is the closest to -60 in 5, -0.2, -40?
-40
What is the nearest to -1 in 81/58, -7/27, 0?
-7/27
Which is the nearest to 0.1? (a) 3 (b) -1 (c) -2518
b
What is the nearest to -1 in -0.22, -3, 5, -0.3, -24?
-0.3
What is the nearest to 6806 in 1, 0.5, -17, -0.2?
1
Which is the closest to -2? (a) 2/5 (b) -0.064 (c) 1/5
b
Which is the closest to -1/3? (a) -2/13 (b) 2353 (c) 0
a
Which is the nearest to 2? (a) 2/73 (b) 3 (c) -4 (d) 2
d
Which is the closest to 1/4? (a) 0.97 (b) 8 (c) 4 (d) 0.04
d
Which is the closest to -348? (a) 1 (b) 2.1 (c) -0.4 (d) -0.3
c
What is the closest to -2 in 17, -12, -3/5, 15, -0.3?
-3/5
What is the closest to 434 in -0.5, -0.2, -2/9, -4?
-0.2
Which is the closest to 0.1? (a) -118/17 (b) 0.2 (c) 1
b
Which is the nearest to -1? (a) 2/15 (b) -5/41 (c) -2/9
c
Which is the closest to -1? (a) -0.3 (b) 0.4118 (c) 2 (d) 3/4
a
What is the closest to -2/7 in -5, 23, 0.2, -0.59, -3?
-0.59
What is the nearest to -1 in -2/45, -3/2, -0.3?
-3/2
What is the closest to 1004 in 3/5, -2, 5, 1, 2?
5
Which is the nearest to -0.3? (a) -5 (b) -27.79 (c) -0.06
c
Which is the nearest to -848? (a) -3/2 (b) -0.3 (c) 2 (d) 0 (e) -4/17
a
What is the nearest to -25 in -39/5, 1, -2.1?
-39/5
What is the nearest to -1 in 0.2, 149, 0.1, 1/3?
0.1
What is the closest to 0.69 in -144, -2, 2/11?
2/11
What is the nearest to -0.4 in -0.2, -11, 0.06, 5?
-0.2
Which is the nearest to -1/3? (a) -3.9 (b) -15 (c) 3/5 (d) 0.1
d
Which is the nearest to -2/7? (a) 2 (b) 2781 (c) 1.3 (d) -2/5 (e) 0
d
Which is the nearest to 1? (a) 215111 (b) -0.4 (c) -0.5 (d) -2/7
d
What is the nearest to -3/4 in 9, 3/4, -2/9, -0.1, 0.1?
-2/9
Which is the closest to 1? (a) -2/13 (b) 0.6 (c) 2/11 (d) 3140
b
Which is the nearest to 0.3? (a) -3/3622 (b) -0.3 (c) 6/7
a
What is the closest to -192 in -51, 2, -14?
-51
Which is the closest to -1? (a) -0.0315 (b) -8 (c) -1/3
c
What is the closest to -10 in -233, -0.5, 0.4, -5?
-5
What is the nearest to 0.1 in 5, 0.04308, -3/7?
0.04308
What is the closest to -2/19 in 46, -4/17, 1/10?
-4/17
What is the closest to -4 in 5/2, 1/941, 1.8?
1/941
Which is the closest to 0? (a) -0.027 (b) 5 (c) 228 (d) 4 (e) 9
a
Which is the nearest to 1.8? (a) 2 (b) -2 (c) -0.942 (d) -4
a
What is the closest to -2/65 in -0.4, 118, 4?
-0.4
Which is the nearest to -9? (a) 7 (b) -0.5 (c) 41 (d) 5
b
Which is the closest to 12? (a) 0.5 (b) 37 (c) -0.35 (d) -5
a
What is the nearest to -0.3 in 1.84, -3, 1, 0.1, -7?
0.1
Which is the nearest to -2/3? (a) 3 (b) -13 (c) -4 (d) 95 (e) -10
c
What is the nearest to 2.1 in 18, 0, 5, -30?
0
Which is the nearest to 4? (a) 0.17 (b) -36 (c) -0.4 (d) 0.042
a
Which is the closest to 1? (a) -128 (b) 0.08 (c) -13
b
What is the closest to -10.8 in -4, -2, 9, 5?
-4
Which is the closest to 0? (a) 0 (b) -20/23 (c) 3 (d) -0.1
a
What is the closest to 1/5 in 2, -1/4, -0.3, -2/5, 487?
-1/4
Which is the closest to 849? (a) 1/6 (b) -0.02 (c) 1/4 (d) 2/19 (e) -2/15
c
What is the nearest to -3 in 0.5, -5, 146?
-5
What is the closest to -1302 in -3/4, -2/5, -2/9, 5/2?
-3/4
Which is the nearest to 17? (a) -9 (b) -37/4 (c) -2 (d) 3/4
d
Which is the closest to -10? (a) 4798 (b) 0.1 (c) 1/3
b
What is the nearest to -1/66 in 0, -18, 1/5, -0.3?
0
What is the nearest to 0.1 in 1/5, 0.1, 261, 34, -3/7?
0.1
What is the closest to 1 in -1/70, -37/3, -0.1, -1?
-1/70
What is the nearest to -1588 in 0.2, -0.3, -1/14, 2/9?
-0.3
What is the closest to 2/9 in -8, -5, -14.6, -4?
-4
Which is the nearest to 221? (a) 0 (b) -104/3 (c) 3
c
What is the nearest to 24 in 15/8, 0.11, -1?
15/8
What is the closest to 51 in 0.044, -4, 0.2, -1/3?
0.2
Which is the closest to 0? (a) 0.1 (b) -16 (c) -0.2 (d) -13
a
What is the nearest to -2/3 in -13/2, -9, 4/29?
4/29
What is the closest to 270 in 4, -2/23, -5?
4
Which is the closest to -2? (a) 14 (b) -107 (c) 4
c
Which is the nearest to 1? (a) 9/4 (b) 2 (c) 45/308 (d) 0.3 (e) 2/11
d
What is the nearest to -3/31 in -1/3, -1/2, -3/20?
-3/20
Which is the nearest to 386? (a) 5 (b) -5 (c) 6.5
c
What is the closest to -2 in -1, -5, 7, -4, 9?
-1
What is the nearest to 5/3 in -1, -242, 0?
0
What is the closest to 0 in -6/5, -1, 3/11, -6?
3/11
Which is the closest to 1/4? (a) 2/41 (b) 133 (c) -1
a
Which is the nearest to 0? (a) -1 (b) -4.46 (c) -3/2 (d) 0.2
d
Which is the nearest to -2/9? (a) 5 (b) -2/7 (c) -4 (d) 1.007
b
What is the closest to -1/5 in -5, -0.3, -18, 1/2?
-0.3
What is the nearest to -1 in 2.49, -4, -2/5?
-2/5
Which is the nearest to 18.36? (a) 0.5 (b) -1 (c) 2 (d) -2/11 (e) 3
e
Which is the nearest to 27? (a) -6.8 (b) -0.1 (c) -4
b
What is the closest to 0 in 15, 1.3, -4/7, -16, -4?
-4/7
Which is the nearest to 0.2? (a) -3 (b) 0 (c) -102
b
What is the closest to 2/15 in 1/33, 5, -0.2, -17?
1/33
What is the nearest to -8/7 in 0.8, -7, -14/19?
-14/19
Which is the closest to -0.3? (a) -0.2 (b) -104 (c) 652
a
Which is the closest to -0.1? (a) -2 (b) -1.845 (c) 0.02
c
What is the nearest to -4/7 in -1307, 3, -2, -3?
-2
Which is the closest to -11? (a) 212 (b) -311 (c) 1
c
Which is the closest to -4? (a) -4 (b) -0.074 (c) -0.5
a
What is the nearest to -1 in -4, 2/159, 1?
2/159
Which is the closest to -82? (a) -3 (b) -82/11 (c) -13
c
Which is the nearest to -0.1? (a) -7 (b) 0 (c) -1231/4
b
Which is the closest to -10? (a) -13 (b) 0.1 (c) 0.2 (d) 11 (e) -1/3
a
Which is the nearest to -0.3? (a) 0.2 (b) 6 (c) -0.6 (d) 0.09
c
Which is the nearest to -0.1? (a) 0.27 (b) -5 (c) 3/8 (d) 1/7
d
Which is the nearest to 1? (a) 2 (b) -0.3 (c) 223 (d) 10
a
Which is the closest to -4? (a) 4 (b) -32 (c) -4/9
c
What is the closest to 6 in 2/11, 2/17, -269?
2/11
What is the nearest to -6/11 in -384, 2, -2/3?
-2/3
Which is the closest to 0.1? (a) -0.84 (b) -29 (c) -4/7 (d) -5 (e) -13
c
Which is the nearest to -0.1? (a) -0.2 (b) -0.4 (c) -315 (d) -2/219 (e) 5
d
Which is the nearest to 2.09? (a) 0.01 (b) 2 (c) 0.1
b
What is the closest to 0.2 in -3/5, -0.8, -0.71, 2/9?
2/9
Which is the nearest to -5.6? (a) 4 (b) -0.5 (c) -2/7 (d) 0
b
Which is the closest to 19/2? (a) 2/411 (b) 2/9 (c) -0.02
b
Which is the closest to 1? (a) -197 (b) -7/10 (c) -0.3
c
What is the nearest to 1/4 in 4, 0.23, -2, 18/17?
0.23
What is the nearest to 0.2 in 13/9, 0.5, 1/4, 1171?
1/4
Which is the nearest to 0? (a) -5.2 (b) 0.5 (c) 6 (d) -1.9 (e) 2/13
e
Which is the closest to 4? (a) -2/19 (b) 2671/3 (c) 1/5
c
Which is the nearest to -0.2? (a) -0.10665 (b) 5 (c) -0.2
c
What is the nearest to -0.32 in 0.1, -4, -2/7, 139?
-2/7
What is the closest to 0.1 in -19, 5, 38, -0.1, -1/2?
-0.1
Which is the closest to -1? (a) 2.7 (b) 0.3 (c) 0.14 (d) -2/9 (e) 5
d
What is the nearest to 42 in -56, 2.3, 2/9?
2.3
Which is the closest to 2/21? (a) 1/27 (b) -0.1 (c) -2.1
a
What is the nearest to -2/7 in -0.6, -2/15, 2, 34, 0.3?
-2/15
What is the closest to 17 in -4/5, 1/6, -55/3, -5?
1/6
What is the closest to 0 in 5, -80, 2/5, -4?
2/5
Which is the closest to 0.11? (a) -2 (b) 784 (c) -0.2
c
Which is the closest to -1? (a) 1.2 (b) 3 (c) 85 (d) 0.5 (e) -3/5
e
Which is the nearest to -35? (a) 10 (b) -11 (c) -5 (d) -1 (e) 4
b
What is the nearest to 2/5 in 0.062, 0, -0.059?
0.062
Which is the closest to -38? (a) -0.4 (b) -0.3 (c) 10 (d) 1
a
Which is the nearest to 1243? (a) 2 (b) -29 (c) -3
a
What is the closest to -2 in 0.5, 3, -0.138, -4/3?
-4/3
What is the nearest to -2/3 in 70, 1/6, 2/21, 1/3?
2/21
What is the nearest to 9 in -4, 0.2, 2/13, -1, -27.6?
0.2
Which is the nearest to 1.1? (a) -3 (b) -1 (c) -23
b
What is the closest to -1 in 1, 38, -2, 0.7?
-2
What is the closest to 3/5 in 0.03, 10, -1.4, -4?
0.03
Which is the nearest to 0.2? (a) 3/11 (b) -31/3 (c) -3/7
a
What is the closest to 3727 in 55/3, 0.5, -3, -0.5?
55/3
Which is the nearest to 0.08? (a) 0.6 (b) 5 (c) -70/13
a
What is the nearest to 38 in -5, -33/7, 1, 0.2?
1
Which is the closest to -0.1? (a) 6 (b) -2 (c) -679 (d) -2/9
d
What is the nearest to 2 in 112, -2/7, -2/9, -2/17, -13?
-2/17
What is the closest to -2 in 0.5, 1, -5.69, 3?
0.5
Whic | {
"pile_set_name": "DM Mathematics"
} |
b). Factor r(s).
-2*(s + 1)**3/3
Solve 8/7 + 2*o**4 - 2/7*o**5 - 32/7*o - 38/7*o**3 + 50/7*o**2 = 0.
1, 2
Let c(o) be the first derivative of 1/9*o**2 + 4/27*o**3 + 1/18*o**4 + 0*o + 21. Find w, given that c(w) = 0.
-1, 0
Let q be (-1540)/(-130) - ((-4)/(-26))/(-1). Let v be (18/q)/(3/10). Factor 0*l + 2/3*l**4 - 1/3*l**v + 0 - 1/3*l**3 + 0*l**2.
-l**3*(l - 1)**2/3
Let w(d) = -50*d**2 + 48*d + 83. Let u(x) = 123*x**2 - 120*x - 207. Let n(f) = 5*u(f) + 12*w(f). Factor n(j).
3*(j + 1)*(5*j - 13)
Let n be (6095/212)/((-51)/12) + 7. Find x such that -n*x + 2/17*x**3 + 0 + 2/17*x**2 = 0.
-2, 0, 1
Find d, given that -16/3*d + 2/3*d**2 + 8 = 0.
2, 6
Let h(i) be the third derivative of i**7/56 - 5*i**6/96 + i**5/24 + 60*i**2. Let h(x) = 0. What is x?
0, 2/3, 1
Let x = -18299/30 + 610. Let w(k) be the second derivative of 0 + 10*k - 1/4*k**4 + 0*k**2 - x*k**6 + 0*k**3 + 1/5*k**5. Factor w(z).
-z**2*(z - 3)*(z - 1)
Factor 125*m**3 + 7*m**5 - 190*m**2 + 170*m - 2*m**5 - 40*m**4 - 30*m - 40.
5*(m - 2)**3*(m - 1)**2
Let a(g) be the first derivative of 2*g**6/21 - 8*g**5/35 + 8*g**3/21 - 2*g**2/7 + 44. Factor a(r).
4*r*(r - 1)**3*(r + 1)/7
Let w be (4 - 3) + 1*(-3 + 2). Suppose -14*u + 12*u + 8 = w. Factor 6/5*b**2 + 3/5*b**u - 9/5 + 12/5*b**3 - 12/5*b.
3*(b - 1)*(b + 1)**2*(b + 3)/5
Let l(g) = 139*g**3 - 235*g**2 - 92*g - 18. Let a(y) = 70*y**3 - 118*y**2 - 46*y - 8. Let p(m) = -5*a(m) + 2*l(m). Factor p(s).
-2*(s - 2)*(6*s + 1)**2
Let l = -19 + 22. Solve 4*g - 4*g**l + 8*g**4 - 10*g**4 + 3 - 1 = 0.
-1, 1
Suppose -4*r - 45 = -13. Let z be -1*3*r/12. Find k such that 1/3*k + 1 - 2/3*k**z = 0.
-1, 3/2
Let i(q) = -q**3 - q**2 + 1. Let a(d) = 4*d**5 + 16*d**4 + 12*d**3 - 12*d**2 - 20*d - 4. Let y = -60 - -56. Let n(k) = y*i(k) + a(k). Let n(w) = 0. What is w?
-2, -1, 1
Let k(a) be the second derivative of 5*a**7/189 + 79*a**6/135 + 3*a**5/5 - 47*a**4/27 - 59*a**3/27 + 5*a**2/3 + 71*a - 4. Suppose k(b) = 0. Calculate b.
-15, -1, 1/5, 1
What is d in 5/3*d**2 - 80*d + 960 = 0?
24
Let m = 111 + -87. Suppose -5*v + 3*a + 25 = 0, 4 = 4*v - 4*a - m. Let 1/3*t**v - 1/3 - 1/3*t + 1/3*t**3 = 0. What is t?
-1, 1
Let v(c) be the first derivative of -c**6/27 - 28*c**5/45 - 11*c**4/6 + 224*c**3/27 - 64*c**2/9 + 81. Solve v(n) = 0.
-8, 0, 1
Factor -20/3*r - 2/9*r**2 + 0.
-2*r*(r + 30)/9
Let v be (2 - 32/12)*-9. Let y(z) be the third derivative of 0 - 1/12*z**3 + 1/96*z**4 + 0*z + 1/30*z**5 + 1/96*z**v + 7*z**2. Factor y(b).
(b + 1)**2*(5*b - 2)/4
Let z(t) = -17*t + 134. Let u be z(8). Let d be (-1 - 1)/(u/9*7). Suppose 3/7*m**4 + 3/7*m + d*m**3 + 0 + 9/7*m**2 = 0. What is m?
-1, 0
Let y = -19950 - -19952. Factor -1/3*g**y + 5/3*g - 5/3*g**3 - 2/3 + g**4.
(g - 1)**2*(g + 1)*(3*g - 2)/3
Let q(g) = -g**3 - 6*g**2 + 15*g - 6. Let n be q(-8). Suppose -5*w = n*w. Find r, given that 1/4*r**3 + w*r**2 - 1/4*r**4 + 0 + 0*r = 0.
0, 1
Let b(u) = u**4 - u**2 - u - 1. Let y(q) = -q**5 + 8*q**4 + 2*q**3 - 10*q**2 - 7*q - 4. Let s = 47 + -53. Let p(o) = s*b(o) + y(o). Factor p(x).
-(x - 2)*(x - 1)**2*(x + 1)**2
Let m(j) be the second derivative of j**6/180 + j**5/90 - j**4/18 + 3*j**2 - 4*j. Let f(t) be the first derivative of m(t). Factor f(i).
2*i*(i - 1)*(i + 2)/3
Let p(q) be the first derivative of -49/4*q**4 - 46/3*q**3 - 2*q - 17/2*q**2 - 18/5*q**5 - 8. Determine h so that p(h) = 0.
-1, -1/2, -2/9
Let l(c) be the first derivative of -c**4/46 + 20*c**3/69 + 11*c**2/23 + 184. What is h in l(h) = 0?
-1, 0, 11
Suppose 9 = 2*y + 3. Suppose 4*g + 2 = -3*o - 2*o, -6 = y*o. Suppose 3*q + g*q + 4*q**3 + q**4 + 5*q**2 + 0*q**3 - 3*q = 0. What is q?
-2, -1, 0
Let s(t) = -29*t + 92. Let y be s(3). Let g(q) be the second derivative of 8*q**3 - 16*q**2 + 0 - 3/2*q**4 + 1/10*q**y - 5*q. Determine c, given that g(c) = 0.
1, 4
Determine z, given that -2*z**4 - 4*z**2 + 0*z**4 + 6*z**3 + 0*z**2 + 2*z - 2*z**2 = 0.
0, 1
What is n in 10976*n**2 + 42*n**4 + 1176*n**3 + 1/2*n**5 + 0*n + 0 = 0?
-28, 0
Let v(o) be the first derivative of o**4/34 + 2*o**3/51 - o**2/17 - 2*o/17 + 99. Factor v(z).
2*(z - 1)*(z + 1)**2/17
Let o(k) = k**2 - 6*k + 12. Let p be o(5). Suppose p*l - 35 = -0*l. Factor -8*u**2 - 4*u - 4*u**l + 10*u**4 + 4*u**5 + 4*u**5 - 2*u**4.
4*u*(u - 1)*(u + 1)**3
Let b(l) be the second derivative of l**6/360 + l**5/120 + 3*l**3/2 - 2*l. Let d(w) be the second derivative of b(w). Suppose d(i) = 0. Calculate i.
-1, 0
Let s(i) be the first derivative of -i**8/1680 + i**6/180 - i**4/24 + 13*i**3/3 - 28. Let x(g) be the third derivative of s(g). Find m, given that x(m) = 0.
-1, 1
Suppose 65 = t + 4*t. Suppose t = g + h, 5*g - h - 38 = 3*h. Let 53*l**2 - 4 + 2 - 84*l - 200*l**2 - g = 0. Calculate l.
-2/7
Let u(f) = 5*f - 16. Let d be u(4). What is n in 11*n**2 - 32*n**2 + 15*n**3 - 5*n**d + 11*n**2 = 0?
0, 1, 2
Let x(z) be the third derivative of 0*z + 1/72*z**6 - 1/1008*z**8 - 2/315*z**7 + 0*z**5 + 13*z**2 + 0 + 0*z**4 + 0*z**3. Solve x(b) = 0.
-5, 0, 1
Suppose -s - 30 = 5*o, 0 = -2*o + 12 - 24. Let p be 2/(2 - 0)*0. Factor s*z + p*z**4 + 0*z**2 + 2/13*z**5 - 2/13*z**3 + 0.
2*z**3*(z - 1)*(z + 1)/13
Let -a**2 + 6*a**3 + a**2 - 3*a**4 - 3*a**2 = 0. What is a?
0, 1
Let n(z) = -6*z - 46. Let f be n(-11). Factor -38*a - 8*a**2 - 39*a + f*a**3 + 65*a.
4*a*(a - 1)*(5*a + 3)
Let y = -37/10 - -673/90. Let t(r) be the first derivative of -y*r**3 + 7 + 0*r - 5/6*r**4 - 2*r**2. What is l in t(l) = 0?
-3, -2/5, 0
Let x = 40/269 + 189/538. Factor x*u**3 + u + 0 - 3/2*u**2.
u*(u - 2)*(u - 1)/2
Find g, given that -4 + 5*g**4 - 8*g**3 + 17/2*g - g**2 - 1/2*g**5 = 0.
-1, 1, 8
Find f such that 9*f**2 - 162*f - 1/6*f**3 + 972 = 0.
18
Let d(u) be the first derivative of u**6/6 - 3*u**5/5 - u**4/2 + 4*u**3 - 4*u**2 - 93. Factor d(z).
z*(z - 2)**2*(z - 1)*(z + 2)
Factor -9*p**3 - 11*p**5 - 12*p - 2*p**4 - 4*p**4 + 24*p**2 + 14*p**5.
3*p*(p - 2)*(p - 1)**2*(p + 2)
Let i = 53278/5 + -10650. Solve -12/5 + 8/5*b**3 + 3/5*b**4 - 11/5*b**2 - i*b = 0.
-3, -1, -2/3, 2
Suppose -4*j = -0*j - 3*t - 177, 207 = 4*j + 3*t. Factor -4*l**2 + 15*l**2 + l**3 + 36 + j*l + 2*l**2.
(l + 1)*(l + 6)**2
Let h be 7 + 8/(-4) + 551/(-116). Suppose h*d**2 + 0 - 1/4*d = 0. What is d?
0, 1
Let s = 149 - 127. Let p(h) = 5*h - 110. Let g be p(s). Factor -1/2*j**2 - 3/4*j**3 - 1/4*j**4 + 0 + g*j.
-j**2*(j + 1)*(j + 2)/4
Let o(m) = -m**3 + 16*m**2 - 12*m - 18. Let q be o(14). Let j = 3 - 1. Factor q*c**2 + 2*c**4 + 4*c**3 - 2 - 4*c - 206*c**j.
2*(c - 1)*(c + 1)**3
Suppose -4*d + 1 = 3*h - 0*h, -5*d + 5 = 5*h. Suppose -3*m**3 + 3*m**3 - 4 + 4*m**2 - 4*m**h + 5*m - m = 0. Calculate m.
-1, 1
Suppose -3*l + l = -38. Determine h, given that 10*h**3 + 13*h + 15 + 5*h - 24*h**2 - l = 0.
2/5, 1
Let d(n) be the first derivative of -2*n**3/33 + 158*n**2/11 - 12482*n/11 - 22. Factor d(k).
-2*(k - 79)**2/11
Let z = 7 + -5. Suppose -w = -0*w - z. Factor 1 + 2*r**w - r + r**2 - 4*r**2 + r**3.
(r - 1)**2*(r + 1)
Let n(d) = -d**2 - 6*d + 11. Let o be n(-5). Let q(z) = 3*z - 1. Let t be q(1). Factor 0 - j**2 - 22*j - o*j**2 - 4 - j**t.
-2*(j + 1)*(9*j + 2)
Let p = -66 + 73. Let k(u) be the second derivative of -1/70*u**5 + 1/42*u**3 + 0*u**2 + 0 + 0*u**4 + 0*u**6 - 3*u + 1/294*u**p. Determine n so that k(n) = 0.
-1, 0, 1
Let x(k) = 152*k**2 - 465*k + 29. Let l be x(3). Factor -9/5*g - 3/5 - 9/5*g**l - 3/5*g**3.
-3*(g + 1)**3/5
Let m(l) be the first derivative of l**6/39 - 4*l**5/65 + l**4/26 - 64. Suppose m(t) = 0. Calculate t.
0, 1
Let y(v) be the third derivative of -v**6/20 + 28*v**5/15 + 79*v**4/12 + 20*v**3/3 - 786*v**2. Find j such that y(j) = 0.
-1, -1/3, 20
Let o(c) be the first derivative of -c**8/420 - c**7/105 - c**6/90 - 10*c**3 - 12. Let v(t) be the third derivative of o(t). Factor v(z).
-4*z**2*(z + 1)**2
Let z(p) be the second derivative of -7/15*p**3 + 0 + 2/25*p**5 + 19*p + 2/5*p**2 + 2/15*p**4. What is u in z(u) = 0?
-2, 1/2
Let g(l) be the third derivative of l**5/300 + 7*l**4/120 - 127*l**2. Factor g(h).
h*(h + 7)/5
Suppose 4*v + 0*j - 10 = j, 0 = -5*v - 5*j. Factor 6*c + 16 - 288*c**v + 14*c + 292*c**2.
4*(c + 1)*(c + 4)
Let n(v) be the third derivative of 1/3*v**4 - 1/20*v**5 - 1/60*v**6 - 2/3*v**3 - 18*v**2 + 1/210*v**7 + 0*v + 0. Factor n(k).
(k - 2)*(k - 1)**2*(k + 2)
Factor 73*z**2 - 85*z**2 + 7*z**2 - 585*z**3.
-5*z**2*(117*z + 1)
Let n(f) b | {
"pile_set_name": "DM Mathematics"
} |
331021?
-1003032
In base 2, what is 111111110001011 + 11001011111010?
1011001010000101
In base 2, what is 101110000 - -1101010110010000?
1101011100000000
In base 7, what is -230323 + -121?
-230444
In base 2, what is 1010110001011101010011001 - 111?
1010110001011101010010010
In base 10, what is 55 + 19801?
19856
In base 3, what is 111 - -1212121012210?
1212121020021
In base 13, what is 123 + 34a05?
34b28
In base 9, what is -268 + 2062182?
2061813
In base 6, what is 120421323 + -23?
120421300
In base 16, what is c070 + -91?
bfdf
In base 11, what is 3 - -4722011?
4722014
In base 10, what is 90 - -110160?
110250
In base 3, what is 1012 - -212202212020221?
212202212022010
In base 14, what is 236 + 2c724?
2c95a
In base 15, what is 15 + 20573dd?
2057403
In base 10, what is 2375839 - -53?
2375892
In base 11, what is 560 + 1781?
2231
In base 2, what is 11101110110 + 101011001000101?
101110110111011
In base 5, what is 4 + -2022133332?
-2022133323
In base 3, what is -2011020101210201002 + 2?
-2011020101210201000
In base 11, what is -1054 - -4923?
387a
In base 13, what is 1a + -11c628?
-11c60b
In base 4, what is -103 - 131320333203?
-131320333312
In base 16, what is e + -17d8f7d?
-17d8f6f
In base 13, what is -1999 + -35a5a?
-37726
In base 12, what is -1557b9 - 98?
-155895
In base 15, what is 2 - -10e2383e?
10e23841
In base 2, what is 11011000100001011110111111 + -1010?
11011000100001011110110101
In base 3, what is 11222122 + 20100202022?
20112201221
In base 9, what is 4 + -2377042?
-2377037
In base 3, what is 1010 + 1222102211201?
1222102212211
In base 2, what is 1011100 + 10111111001001000?
10111111010100100
In base 14, what is -2982 - -444?
-253c
In base 16, what is -306be32 - 9?
-306be3b
In base 11, what is 738 - 7335?
-66a8
In base 9, what is 4 - -8145254?
8145258
In base 5, what is 32 - 3010130201?
-3010130114
In base 16, what is 6c37 + -101d?
5c1a
In base 9, what is 110641 + 271?
111022
In base 8, what is 6 - 404016005?
-404015777
In base 2, what is 100011 - -1001111100001111111?
1001111100010100010
In base 8, what is -510447 + -10?
-510457
In base 2, what is -111000001100 + -100101101?
-111100111001
In base 6, what is 151200244 + -1?
151200243
In base 9, what is -1183773 + -33?
-1183816
In base 13, what is 12564 + -3c22?
b642
In base 9, what is 12 + 1246607?
1246620
In base 5, what is 4043124223 + 3?
4043124231
In base 10, what is -190451 + 1773?
-188678
In base 8, what is -1 + -253110150?
-253110151
In base 10, what is 132 + -33980?
-33848
In base 3, what is -1112 - 2211120010022?
-2211120011211
In base 6, what is 2 + 15254021?
15254023
In base 9, what is -3 + -13443575?
-13443578
In base 16, what is -134 - 1fffb9?
-2000ed
In base 13, what is -47228 - 7?
-47232
In base 11, what is 6693181 - -5?
6693186
In base 4, what is 13020 + -3232313?
-3213233
In base 16, what is -3c + 86fe95?
86fe59
In base 14, what is -2c8 - -242d?
2145
In base 11, what is -4 + 350707?
350703
In base 5, what is 22 + -130404341?
-130404314
In base 3, what is 110000202 - -1222?
110002201
In base 2, what is -11101100101000111110001000 + 1001?
-11101100101000111101111111
In base 16, what is -f8a967 - -3?
-f8a964
In base 12, what is 4 - 496a536?
-496a532
In base 16, what is -1a48c + -2f1?
-1a77d
In base 3, what is 212111212102200 + -21?
212111212102102
In base 11, what is -5 - -10867a57?
10867a52
In base 11, what is 3 - -157a7139?
157a7141
In base 16, what is a9df2 - -d?
a9dff
In base 12, what is -7b - 1b433?
-1b4b2
In base 4, what is 113322213 + 31?
113322310
In base 7, what is -4 + 221043?
221036
In base 16, what is f8 + 10ee1?
10fd9
In base 9, what is -12 - 24718530?
-24718542
In base 2, what is -101 - -1101000101011101001011?
1101000101011101000110
In base 16, what is ec9 + 785?
164e
In base 14, what is -b53 + 70041?
6d2cc
In base 8, what is 3477 - -15244?
20743
In base 6, what is -5324500134 - -4?
-5324500130
In base 3, what is -11211102 + 22121221112?
22110010010
In base 15, what is -16 + a878bc?
a878a6
In base 11, what is -3868 - -30050?
27293
In base 7, what is 2 + 101543363?
101543365
In base 14, what is 2 - -24a25a?
24a25c
In base 13, what is -2996583 + -1?
-2996584
In base 10, what is -32264 - -12?
-32252
In base 15, what is 331981 + -122?
33185e
In base 6, what is -4003 + -541124?
-545131
In base 10, what is 1767 - -16308?
18075
In base 6, what is 540115123 + 30?
540115153
In base 2, what is -1010010000001100001 - -111001?
-1010010000000101000
In base 6, what is 4 - -325314113?
325314121
In base 6, what is 2333 - 22022344?
-22020011
In base 7, what is 1426461331 - -4?
1426461335
In base 11, what is -29505333 - -1?
-29505332
In base 8, what is 14427 + -33771?
-17342
In base 7, what is -141 - -31521162?
31521021
In base 15, what is 0 - 6a9e4a8?
-6a9e4a8
In base 16, what is -129 - -57393?
5726a
In base 16, what is 17b - -4903a?
491b5
In base 7, what is -33112 - -14226?
-15553
In base 2, what is 100101001111010000111111111 - 1100?
100101001111010000111110011
In base 4, what is -30 - 1013321311?
-1013322001
In base 10, what is 20878 + 312?
21190
In base 13, what is 3901a9ca + -4?
3901a9c6
In base 2, what is -101 - 111110010011001000110101?
-111110010011001000111010
In base 14, what is -73a282 + 2?
-73a280
In base 2, what is -10010011111000011011101001 - 10?
-10010011111000011011101011
In base 12, what is 142 + -16853?
-16711
In base 14, what is -4a7595 - -5?
-4a7590
In base 12, what is 1300b4 - 208?
12baa8
In base 13, what is 15aa9b1 - -2?
15aa9b3
In base 10, what is 4 + 189404197?
189404201
In base 10, what is 86211991 + 5?
86211996
In base 12, what is -2 - -302520?
30251a
In base 3, what is 20202221 - -1100?
20211021
In base 2, what is -10110010111100111010111 + 10111100?
-10110010111100100011011
In base 5, what is -301 + 214211?
213410
In base 3, what is -101 - -202222022122?
202222022021
In base 2, what is 1011010110110110001001111 - 0?
1011010110110110001001111
In base 14, what is -b84d - -98?
-b795
In base 6, what is -152122 - 4244?
-200410
In base 3, what is 2 - 102020102220002?
-102020102220000
In base 2, what is 111 + 10101111010101101001?
10101111010101110000
In base 13, what is -178 + cb0?
b35
In base 10, what is -863 + 162652?
161789
In base 3, what is -12 - 2201112111121111?
-2201112111121200
In base 9, what is 515 - -200017?
200533
In base 15, what is 52 + 5640e3?
564145
In base 7, what is -104 + 23024564?
23024460
In base 12, what is 3 - 50847307?
-50847304
In base 14, what is 292852 - 47?
292809
In base 4, what is -1323100133002 - 2?
-1323100133010
In base 10, what is -233274 + -30?
-233304
In base 2, what is 11011101000101010101000 + -11?
11011101000101010100101
In base 4, what is -11 - 20223133321?
-20223133332
In base 12, what is -9 - -75818a8?
758189b
In base 11, what is 287a960a + 5?
287a9614
In base 13, what is -230c + -194?
-24a3
In base 16, what is -1b05 + 520e?
3709
In base 15, what is 59071c - 2d?
5906de
In base 15, what is a1 + -1020?
-e6e
In base 5, what is 1010332 + 1432114?
2443001
In base 6, what is 0 - -140131505?
140131505
In base 5, what is 102 + 40100422?
40101024
In base 9, what is 4 + 188040183?
188040187
In base 14, what is a9ac4b + 9?
a9ac56
In base 7, what is -16622 + -1?
-16623
In base 3, what is 1110121112122 + -12?
1110121112110
In base 12, what is -28 - -82714?
826a8
In base 8, what is 1423131 + -55?
1423054
In base 13, what is -b + 3084a?
3083c
In base 2, what is -11000 - -1010011001001101?
1010011000110101
In base 16, what is 3f - -eefc1?
ef000
In base 5, what is 20044 - 13111412?
-13041313
In base 13, what is 594a8 - 4?
594a4
In base 9, what is -323 - -78328?
78005
In base 9, what is 17854 - -223150?
242114
In base 5, what is 4 + 2110340200?
2110340204
In base 13, what is -249 - -706b?
6b22
In base 16, what is cbb - -1ca?
e85
In base 6, what is -1105251 - -1312?
-1103535
In base 3, what is -11 - -1022222222212020?
1022222222212002
In base 6, what is 11 - 4150313414?
-4150313403
In base 12, what is 1b967429 - -1?
1b96742a
In base 12, what is -32408 - 8bb4?
-3b400
In base 16, what is 7d + 1019?
1096
In base 5, what is -10 - -3330040141?
3330040131
In base 3, what is 1101 + 2?
1110
In base 10, what is -7 - -63943?
63936
In base 2, what is 11 + -10101111101110101111011110?
-10101111101110101111011011
In base 13, what is 3 + - | {
"pile_set_name": "DM Mathematics"
} |
-4
Solve s + 4 = -0*s for s.
-4
Solve -46*r + 86 = -6 for r.
2
Solve -8 = -3*h - 5 for h.
1
Solve -5*t + 8 = 23 for t.
-3
Solve 0 = -2*h - 4*h + 18 for h.
3
Solve 98*j - 168 = 126*j for j.
-6
Solve 0 = 24*d - 20*d + 20 for d.
-5
Solve 19 = d + 18*d for d.
1
Solve 23*q - 130 + 107 = 0 for q.
1
Solve -69*m + 104 = -95*m for m.
-4
Solve 0 = 111*c - 721 - 278 for c.
9
Solve 2*a + 11 = 7 for a.
-2
Solve 12*g + 0*g = -12 for g.
-1
Solve -15 + 21 = -3*f for f.
-2
Solve 27 = -6*m + 3 for m.
-4
Solve 22*r = 139 - 51 for r.
4
Solve -3*n - 24 = 21*n for n.
-1
Solve -34*t + 118 + 52 = 0 for t.
5
Solve -23*r = 124 - 170 for r.
2
Solve -25*p = 24*p - 294 for p.
6
Solve -10*f + 1 = 1 for f.
0
Solve 1 = 86*o - 87*o for o.
-1
Solve 9*n - 17 = -35 for n.
-2
Solve 0 = -15*k - 37 - 8 for k.
-3
Solve 0 = 18*y - 667 + 505 for y.
9
Solve -6*t + 7*t = 1 for t.
1
Solve -9*l + 42 = 87 for l.
-5
Solve -76*z + 23*z = 371 for z.
-7
Solve -8 = -39*y + 41*y for y.
-4
Solve 50*t - 72*t = 88 for t.
-4
Solve p - 2*p - 3 = 0 for p.
-3
Solve 110 = 46*x - 24*x for x.
5
Solve 43*y = 4*y - 234 for y.
-6
Solve i - 110 + 101 = 0 for i.
9
Solve 2211 - 2177 = -17*y for y.
-2
Solve l = -217 + 217 for l.
0
Solve -13*k + 10*k - 6 = 0 for k.
-2
Solve -1198*r + 60 = -1183*r for r.
4
Solve 70*z - 77*z + 14 = 0 for z.
2
Solve -247 + 244 = t for t.
-3
Solve 0 = -15*o + 14*o + 3 for o.
3
Solve -259*j + 254*j - 10 = 0 for j.
-2
Solve -18*i + 28*i + 10 = 0 for i.
-1
Solve -28*i + 3 = -25*i for i.
1
Solve -19*i + 54*i + 105 = 0 for i.
-3
Solve -27*y = -24*y - 9 for y.
3
Solve 4 = -5*z + 9*z for z.
1
Solve -32*x = -19*x - 11*x for x.
0
Solve 3 = -4*n + n for n.
-1
Solve 12*l = 10*l - 4 for l.
-2
Solve -3 = -6*c - 21 for c.
-3
Solve -x - 3*x = 8 for x.
-2
Solve 0 = -119*w + 136*w - 102 for w.
6
Solve 12*t = 44*t + 128 for t.
-4
Solve 19 + 29 = 16*p for p.
3
Solve -6 = 35*j + 169 for j.
-5
Solve 36 = 24*m - 12 for m.
2
Solve 534*s - 192 = 558*s for s.
-8
Solve 3*y + 17 = 5 for y.
-4
Solve -68 = -10*b - 128 for b.
-6
Solve 0 = 9*b - 7*b - 10 for b.
5
Solve -7*w = 305 - 333 for w.
4
Solve 0 = -t + 60 - 57 for t.
3
Solve 8 = 7*g + 29 for g.
-3
Solve 0 = 4*c - 0 - 12 for c.
3
Solve -15*i = 390 - 270 for i.
-8
Solve -143*f = -146*f - 9 for f.
-3
Solve 137*t - 148*t = -33 for t.
3
Solve -3*s = 21*s + 48 for s.
-2
Solve -19 = -4*v - 27 for v.
-2
Solve 4 = 79*h - 75*h for h.
1
Solve 23*b + 40 = -6 for b.
-2
Solve 35*c - 169 + 414 = 0 for c.
-7
Solve 0 = -20*r + 78 - 158 for r.
-4
Solve 2*o + 16 = 20 for o.
2
Solve 15 = 343*y - 348*y for y.
-3
Solve 11 - 12 = -s for s.
1
Solve -28*x + 18*x = 0 for x.
0
Solve 26*n + 40 = 34*n for n.
5
Solve 0 = -2*l - 1 + 3 for l.
1
Solve 4*i = -4*i - 8 for i.
-1
Solve 14 = -17*p + 48 for p.
2
Solve -333*t = -322*t + 33 for t.
-3
Solve -5 = 2*n + 5 for n.
-5
Solve 0 = c - 7*c - 12 for c.
-2
Solve 6 = -6*q - 6 for q.
-2
Solve -153 = 50*z + 47 for z.
-4
Solve -124*a = -137*a for a.
0
Solve -1 = -2*w - 5 for w.
-2
Solve 3*b + 0 = -3 for b.
-1
Solve 5 = 7*p - 23 for p.
4
Solve -76 = 7*h - 111 for h.
5
Solve 0*y = -y - 4 for y.
-4
Solve 12*f - 139 = -115 for f.
2
Solve 21*u - 27*u - 18 = 0 for u.
-3
Solve 7*a - 3*a = -20 for a.
-5
Solve 416*b + 30 = 413*b for b.
-10
Solve 120*k - 138*k = 108 for k.
-6
Solve -y = 3*y for y.
0
Solve -145 = -22*t + 31 for t.
8
Solve -18*z = -6*z - 48 for z.
4
Solve 676 = -129*v - 614 for v.
-10
Solve 17 = -5*u + 12 for u.
-1
Solve 16*d - 10 = 6 for d.
1
Solve -36*d + 43*d + 35 = 0 for d.
-5
Solve 2*n + 2*n = 8 for n.
2
Solve 10*u - 15*u - 10 = 0 for u.
-2
Solve -31*r + 19*r + 24 = 0 for r.
2
Solve 14*t = 16*t + 2 for t.
-1
Solve 40 - 8 = -16*i for i.
-2
Solve -38*g + 30*g = 40 for g.
-5
Solve -8*m + 32 = -16*m for m.
-4
Solve -24*u + 192 = -24 for u.
9
Solve 2*d - 14*d = -24 for d.
2
Solve 5*z + 3 + 12 = 0 for z.
-3
Solve 0 = 2*p - 16 + 24 for p.
-4
Solve 0 = 2*d - 11 + 3 for d.
4
Solve -92*z = -22*z for z.
0
Solve -6*z - 5*z + 55 = 0 for z.
5
Solve -5 = -u - 0 for u.
5
Solve -22*d + 6 = -19*d for d.
2
Solve 0 = 18*l + 5*l + 115 for l.
-5
Solve 2*y + 65 = 81 for y.
8
Solve 16*b = 19 - 3 for b.
1
Solve -123*t = -328 - 41 for t.
3
Solve 15 = 7*g + 22 for g.
-1
Solve -12*q - 28 - 32 = 0 for q.
-5
Solve 0 = -8*f + 39*f - 248 for f.
8
Solve 0 = 26*a - 45*a + 19 for a.
1
Solve -3*t + 12 = 6 for t.
2
Solve -22*h - 161 = -7 for h.
-7
Solve -4 = 7*r + 17 for r.
-3
Solve 12 = -5*p - 13 for p.
-5
Solve -18*t + 20 + 70 = 0 for t.
5
Solve -2*o + 7*o + 5 = 0 for o.
-1
Solve 12 = -2*d + 14 for d.
1
Solve 24 + 6 = 6*u for u.
5
Solve 8*y = 11*y for y.
0
Solve 0 = 13*w + 51 + 1 for w.
-4
Solve -72 = -157*q + 166*q for q.
-8
Solve 2*x = -27 + 21 for x.
-3
Solve 2*b + 11*b + 26 = 0 for b.
-2
Solve -46*o + 16 = -30*o for o.
1
Solve -7*z - 4 = 3 for z.
-1
Solve p - 90 = -92 for p.
-2
Solve 11 - 39 = -7*g for g.
4
Solve 7*j + 4 = 8*j for j.
4
Solve 0 = 56*h - 58*h for h.
0
Solve -114 = -89*u - 25 for u.
1
Solve 0 = 3*p + 65 - 71 for p.
2
Solve -52 + 42 = 10*c for c.
-1
Solve -3*o + 10 = 13 for o.
-1
Solve 43*v - 114 = 62*v for v.
-6
Solve -128*n + 130*n = -4 for n.
-2
Solve 30*f + 10*f = 200 for f.
5
Solve -55 = 15*y - 10 for y.
-3
Solve 0 = -131*q + 128*q + 3 for q.
1
Solve 779*f = 776*f + 18 for f.
6
Solve -5*o - 3 = -4*o for o.
-3
Solve 6*i - 20 = 11*i for i.
-4
Solve 182 = 13*u + 260 for u.
-6
Solve 0 = -379*b + 361*b - 90 for b.
-5
Solve 2*v + v = 3 for v.
1
Solve 14 + 6 = -4*t for t.
-5
Solve 8 + 21 = -29*q for q.
-1
Solve -10*h = -35 + 145 for h.
-11
Solve -9*h = -6*h - 6 for h.
2
Solve 0 = 4*l + 6*l + 40 for l.
-4
Solve 125*m - 48*m = 385 for m.
5
Solve 11 + 10 = -7*z for z.
-3
Solve -2*x + 76 = 17*x for x.
4
Solve 386*r = 397*r - 66 for r.
6
Solve 38*n - 50*n + 60 = 0 for n.
5
Solve 16*g + 22 = -10 for g.
-2
Solve 245 = -40*g - 35 for g.
-7
Solve -22*z + 16*z - 12 = 0 for z.
-2
Solve 6*i + 4 + 26 = 0 for i.
-5
Solve -4*x + 41*x = 222 for x.
6
Solve -19*z - 13 + 184 = 0 for z.
9
Solve 0 = 3*q - 12 for q.
4
Solve 0 = 5*b + 22 + 3 for b.
-5
Solve 154*n - 40 = 144*n for n.
4
Solve 124 = 15*i + 124 for i.
0
Solve 14 = -68*r + 54*r for r.
-1
Solve 4*j = -j for j.
0
Solve 4900*z = 4893*z + 70 for z.
10
Solve 42*t = -11*t - 16*t for t.
0
Solve -11*w + 3*w = -16 for w.
2
Solve 0 = 2*b + 15*b + 17 for b.
-1
Solve 1 = -6*c + 13 for c.
2
Solve -28*j + 5 = -27*j for j.
5
Solve 0 = -13*s + 5*s + 24 for s.
3
Solve 28*x - 37*x = 9 for x.
-1
Solve -170*l + 4 = -174*l for l.
-1
Solve 141*n - 95 = 122*n for n.
5
Solve -2*o - 17*o - 95 = 0 for o.
-5
Solve -122*r + 143*r + 105 = 0 for r.
-5
Solve -29*g + 140 = -63 for g.
7
Solve z - 17 = -12 for z.
5
Solve 4552 = 7*v + 4580 for v.
-4
Solve 0 = 15*b - 16*b + 3 for b.
3
Solve 9 = 167*w - 164*w for w.
3
Solve 34 = 2*n + 36 for n.
-1
Solve 0 = -d - 69 + 67 for d.
-2
Solve 15*p - 27 = 33 for p.
4
Solve -19 - 53 = 36*d for d.
-2
Solve 116 - 104 = 3*o for o.
4
Solve 3*f = 4*f - 4*f for f.
0
Solve -348*k = -353*k - 10 for k.
-2
Solve 0*k - 12 = -4*k for k.
3
Solve -5*p - 197 + 207 = 0 for p.
2
Solve 697 = 11*z + 708 for z.
-1
Solve -117*f - 117 = -130*f for f.
9
Solve 3*s = -s - 12 for s.
-3
Solve -2*m = -2 + 4 for m.
-1
Solve -3*v + 402 = 390 for v.
4
Solve -147*u - 114 = -128*u for u.
-6
Solve z = 3*z + 10 for z.
-5
Solve 7*h + 2*h = 36 for h.
4
Solve -11*v - 3 - 30 = 0 for v.
-3
Solve -49*s + 520 = 79 for s.
9
Solve 26*l + 2 = 25*l for l.
-2
Solve 9*b - 4*b = 25 for b.
5
Solve -2 = -13*t + 15*t for t.
-1
Solve 18*m = 20*m for m.
0
Solve -76*l + 205 = -555 for l.
10
Solve 57*x = 53*x for x.
0
Solve -31*t = -0 + 31 for t.
-1
Solve -351 = -w - 352 for w.
-1
Solve -6*f - 1380 + 1362 = 0 for f.
-3
Solve -21*k = -33*k + 12 for k.
1
Solve -15*b = -b + 70 for b.
-5
Solve 0 = 4*t + 901 - 925 for t.
6
Solve 5 = 36*j - 31*j for j.
1
Solve 2*h + 4 = -2 for h.
-3
Solve -4 = 7*w - 18 for w.
2
Solve -13*f - 13*f + 156 = 0 for f.
6
Solve 110*q + 25 = 105*q for q.
-5
Solve -93 + 28 = -13*q for q.
5
Solve 0 = -137*x + 160*x - 92 for x.
4
Solve 0 = -18*m + 20*m + 10 for m.
-5
Solve 0*b - 78 = 26*b for b.
-3
Solve 51*c - 66*c + 30 = 0 for c.
2
Solve 89*z - 4 = 93*z for z.
-1
Solve 31 = -6*c + 1 for c.
-5
Solve -40 = 18*y + 68 for y.
-6
Solve 26*p = 18 + 8 for p.
1
Solve 45 - 38 = -7*d for d.
-1
Solve -5*i - 6 + 16 = 0 for i.
2
Solve -18*i + 80 = 8 for i. | {
"pile_set_name": "DM Mathematics"
} |
mon multiple of 14 and f.
42
Let c(b) = b - 2. Let f(w) = w - 1. Let h be f(3). Suppose 5*k + 5 = 2*d, -d = 4*k - h*k - 16. What is the lowest common multiple of d and c(5)?
30
Let t = -3 - 3. Let z = t - -11. What is the smallest common multiple of 9 and z?
45
What is the common denominator of -19/18 and 0 + 0 - 262/(-24)?
36
Let v = -24 - -15. What is the common denominator of -17/11 and 12*(16/v)/4?
33
Let p(r) = r**3 - 4*r**2 + 3*r + 4. Let y be p(4). Suppose h - 2*h = y. Let q = -9 - h. What is the lowest common multiple of q and 11?
77
What is the least common multiple of 300/44 + 6/33 + 2 and 8?
72
Let p(z) = -z**2 - 6*z - 2. Let m be p(-4). Suppose -2*v = m, -v + 0*v - 18 = -5*y. Calculate the least common multiple of (6/8)/(y/36) and 5.
45
Let o = 15 - 11. Suppose -2*u = -2*f - 16, -2*u + 5*u - 4*f = 26. Calculate the least common multiple of o and u.
12
Suppose 5*p - 110 = -2*u, -p - 20 = 4*p. Suppose -3*h + 0*h = -4*o - 53, 5*h = -5*o + u. Calculate the common denominator of ((-66)/(-100))/((-2)/h) and 45/4.
20
Let j = -6 - -16. Let f be 6*((-10)/6 + 2). Let y(r) = 2*r - 3. Calculate the smallest common multiple of y(f) and j.
10
Let h(t) = -t**2 + 4*t + 2. Let c(k) = -k - 1. Let f(p) = -4*c(p) - h(p). What is the smallest common multiple of 11 and f(-3)?
11
Suppose 92 = 5*p - 8. What is the least common multiple of 3 - (-48)/40*(-45)/(-6) and p?
60
What is the common denominator of 97/12 and (83/(-15))/((-12)/15)?
12
Calculate the common denominator of 2391/504 + 6/(-21) and 56/9.
72
Suppose -2*u + 17 = 3*f, -4*u + 2*f + 10 = -0*f. Suppose -u*a - 64 = -5*t, 4*t = -0*t + 2*a + 50. What is the smallest common multiple of 10 and t?
60
Let l(p) = p**3 - 8*p**2 + 10*p - 8. Let d be l(6). Find the common denominator of (285/3 - -2)/(-22) and 7/d - (-1)/(-2).
220
Suppose -g = -2*g + 9. Suppose -38 = -3*f + 4*y, -2*f = -3*y - 15 - g. What is the smallest common multiple of 8 and f?
72
Let c(z) = z**2 + 5*z + 4. Let r be c(-3). Let t be r/3*45/(-10). Suppose t*g - 1 = 5. What is the lowest common multiple of 11 and g?
22
Let v be (3 - 5 - -3) + 3. Suppose 8 = -2*q - 2*p, q = v*q - 5*p - 28. What is the lowest common multiple of q and 9?
9
Let n = -7 + 9. Suppose -n*o + 0*o - 2*f = -20, -o + f + 14 = 0. Calculate the lowest common multiple of 6 and o.
12
Suppose -3 = n, 5*i = 4*n + 284 - 97. Suppose i = 2*s + 3*s. Suppose 0 = 3*o - 5*z - 19, 12 = 2*o - 5*z + z. What is the smallest common multiple of o and s?
56
Let t be 17608/1734 - (-4)/6. Let z = 7/578 + t. Find the common denominator of z and 14/4*(-8)/3.
6
Calculate the least common multiple of 12 and 2/5*(3 - -12).
12
Let u = -8448 - -67667/8. What is the common denominator of u and -7/6?
24
Suppose 2*t - 43 = 13. What is the lowest common multiple of t and 12?
84
Let l = 4/135 + -3121/540. What is the common denominator of (-92)/(-69)*(-149)/(-24) and l?
36
What is the common denominator of 1/46 and (4 - 95/(-40))*(0 - 1)?
184
Let f = 196145/16 + -12265. Let a be -226*(-2)/(60/3). Let u = a - 1309/40. Find the common denominator of f and u.
16
Calculate the lowest common multiple of 8 and (8/(-6))/(12/(-18)).
8
Suppose -4*n = -4*i + 28, -3*i - 5*n + 5 = -0*n. Suppose 5*z - o - 32 = 1, 0 = 3*z + 2*o - 12. What is the least common multiple of i and z?
30
Let j be (-6)/(-21) + 14632/(-7). Let a = j + 687. Let h = -16801/12 - a. What is the common denominator of h and -1/22?
132
Suppose -13 + 53 = 4*u. Let g = 1 - -2. Suppose m = 7 - g. What is the lowest common multiple of m and u?
20
Let k = -8 + 7. What is the common denominator of 2 + (3/k - -4) and -69/4?
4
Suppose 4*z - 2*z - 32 = 0. Let l be 10/4*(-14)/(-5). Suppose -13 = -2*s + l. Calculate the smallest common multiple of s and z.
80
Let d(y) = y**2 - 3*y. Let n be 4/6 + (-50)/(-6). Let a(c) = -4*c**2 + 12*c + 1. Let b(m) = n*d(m) + 2*a(m). What is the smallest common multiple of 2 and b(4)?
6
Suppose 2*r - 5*r = 0. Suppose 0 = -r*t + 4*t - 48. Calculate the lowest common multiple of 8 + (1 + -1)/(-2) and t.
24
Find the common denominator of -2*3/(-66)*-29 and (-25)/(-11) + (1 - 0).
11
What is the least common multiple of 4 and 2/(3/(-30)*(-20)/36)?
36
Calculate the common denominator of 17/82 and 85/(-374) + (-10)/(-2).
902
Let t = -34 - -38. Let k(s) = s**2 - 2*s + 3. What is the least common multiple of t and k(3)?
12
Find the common denominator of ((-7)/10)/((-7)/98) + 2 and (-42)/(-5)*30/(-32).
40
Suppose 0 = -2*w - 0*w + 6. Calculate the common denominator of 17/11 and 93*1/24*w.
88
Let n(k) = 5*k**2 + 4*k. What is the least common multiple of n(-2) and 6?
12
Let m(q) = 5*q - 2. Calculate the smallest common multiple of m(4) and 30.
90
Let v be (-8938)/(-669) + 1 + -4. Let p = 6/223 - v. Find the common denominator of 35 and p.
3
Let w(f) = f - 6. Let y be w(8). Let o = y - 0. What is the smallest common multiple of o and (-2 + 1 - -4) + 0?
6
Let c = 12381/56 - 1482/7. What is the common denominator of 127/54 and c?
216
Let i(c) = 2*c**2 - 4*c + 6. Suppose -26 = 3*b - 122. Let l be 6/4*b/12. What is the smallest common multiple of i(l) and 4?
44
Let b = -12330/7 - -1767. Let g = 210/41 + -4847/410. Calculate the common denominator of b and g.
70
Suppose 27 = 3*k - a - 23, 3*k - 74 = -5*a. Let z be (-1)/((-3)/12*2). Let y = 16 - z. What is the least common multiple of k and y?
126
Let s = -1/67 + -2744/201. Calculate the common denominator of s and 34/5.
15
Let w(a) = -a**3 - 6*a**2 - 7*a - 5. Let n = 8 - 13. Let p be w(n). Find the common denominator of p/(-15) - 85/6 and -56/9.
18
Let a = -83/18 + 19/9. What is the common denominator of -67/18 and a?
18
Let s = 0 - -5. Suppose 0 = -g + 4*r, s*g - 4*r + 4 - 20 = 0. What is the smallest common multiple of 10 and g?
20
Let l = 21 + -11. Let y = 343 + -338. What is the lowest common multiple of l and y?
10
Let w = -75 + 135. Calculate the common denominator of 3/16 and (-4)/(-20) - (-713)/w.
48
Calculate the common denominator of (0 + 29)/(-7 + 24) and -37/6.
102
Calculate the common denominator of 1/(-6) + 0 + (-124)/21 and 61/18.
126
Let c = -4617/4 + 1147. Find the common denominator of c and (2/(-24))/(5/261).
20
Let j be (7/(-3))/((-2)/6). Suppose -6 = -m + 5*u + 10, -4*m + u = -j. What is the common denominator of -81/2 and 80/15 + m/2?
6
Let g = -7 - -1. Let k(w) = -4*w**2 + 6*w - 8. Let u be k(g). What is the common denominator of -23/7 and (-8)/(-28) - u/(-21)?
21
Let y(s) = 15*s**3 - s**2 + s + 1. What is the lowest common multiple of 60 and y(1)?
240
Let p = 17 - 11. Let g(v) = -v**2 - 2*v + 5. What is the least common multiple of p and g(0)?
30
Let f be (-7)/((-28)/12) - 3. Suppose 0 = g - 8 - f. Let j(s) = s**3 - s**2 - 2*s + 2. What is the smallest common multiple of g and j(3)?
56
Let i(r) = r**2 + 5*r + 2. Let v(q) = q**3 + 10*q**2 - 12*q - 8. Calculate the smallest common multiple of v(-11) and i(-6).
24
Let a(z) = -z**2 - 9*z - 4. Let n be a(-8). What is the common denominator of -57/7 and 2/n + (-80)/6?
42
Let y be 0/(3 + -2 + 1). Suppose y = 5*z - 10 - 30. Let t = 2 + z. What is the smallest common multiple of 16 and t?
80
Let i = -18 - -33. Let n = -9 + i. What is the smallest common multiple of 6 and n?
6
Let p(q) = -q**2 - 18*q + 34. What is the smallest common multiple of p(-18) and 6?
102
Find the common denominator of 31/16 and (412/6)/(0 - 8).
48
Suppose -2*f = 5*d - 80, -3*d + 6 = -5*f - 11. What is the lowest common multiple of d and 24?
168
Let z be 4/(-10) + (-623978)/(-220). Let k be -2839 - (4/10 + (-42)/30). Let n = z + k. What is the common denominator of -19/12 and n?
132
Let x be (7/21)/((-1)/(-9)). Suppose -l + 8*d = x*d - 17, 0 = -2*l + 2*d + 2. Let r = 10 + l. Calculate the lowest common multiple of 3 and r.
21
Suppose -3*y = -0*y - 81. What is the smallest common multiple of 27 and y?
27
Suppose -b + 20 = -5*g, 4*b = -3*g + b - 12. Suppose 3*h = -4 - 5. Calculate the common denominator of 53/20 and (h/g)/(27/366).
60
Suppose 0*t + 4*n = t + 6, -2*n + 48 = 4*t. Let o(b) = b - 9. Let q be o(9). Let c = 5 - q. What is the lowest common multiple of t and c?
10
Suppose 7 = -w + 5*w - r, 5*w - 5*r = 5. Suppose -w*n = -2*q + 22, -q - 2*n = q - 2. Calculate the least common multiple of 10 and q.
30
Let f = 791 - 2966. Let u = f - -13147/6. | {
"pile_set_name": "DM Mathematics"
} |
is the nearest to 2? (a) 3/5 (b) -739 (c) -4/5
a
What is the nearest to -1 in 1/4, -1/5, 14, 0.3, 0.593?
-1/5
What is the nearest to 4 in -12.397, -0.1, -2/13?
-0.1
What is the nearest to 1 in -23, -2/7, 0.3?
0.3
Which is the nearest to 0.2? (a) -3 (b) 465 (c) 1 (d) -58
c
Which is the closest to -55? (a) 16 (b) 0.02 (c) -0.54 (d) -3
d
What is the closest to -9 in 2/197, 5, 4/3, -5/2?
-5/2
What is the closest to 1 in -5, 0, 21, -0.1?
0
What is the nearest to 115 in 4, 579, 2?
4
Which is the nearest to 2? (a) -10 (b) 90 (c) -21 (d) 0.06
d
What is the closest to -2 in -2, 0.3, 4, -3, 0.026?
-2
Which is the nearest to 1? (a) 0.4 (b) 37/4 (c) 3/8 (d) -0.1 (e) 17
a
What is the nearest to 37 in 1/5, -3, -0.066, 0?
1/5
Which is the closest to 0.1? (a) 3 (b) -38 (c) 4/3 (d) -0.3 (e) 1
d
Which is the closest to -2? (a) -2 (b) -702/5 (c) -2/9
a
Which is the closest to 8/5? (a) -2/11 (b) -457 (c) 1/6 (d) -1/4
c
What is the nearest to -2 in 0.1, -37106/3, -19?
0.1
What is the nearest to 1 in -1.08, 1.4, 0.1, 13?
1.4
Which is the nearest to 1/17? (a) 7 (b) -2 (c) 6/11 (d) -5 (e) 3
c
Which is the closest to -5? (a) 0.4 (b) -0.06 (c) 37 (d) -2/35
b
What is the nearest to 0 in -5, 18, -1/21?
-1/21
What is the closest to 53 in -5/4, -0.2, -0.4, -1?
-0.2
What is the nearest to 1 in -86, 0.7, -1/2?
0.7
Which is the closest to -21/22? (a) -5 (b) 3 (c) -1/4 (d) 4 (e) -3/23
c
What is the nearest to -14 in 24.2, 1/7, 5?
1/7
Which is the closest to 1/35? (a) 3 (b) 2 (c) -523
b
What is the nearest to 1/2 in -1, -1017, 0.1?
0.1
Which is the nearest to -0.2? (a) 0.0837 (b) 0.2 (c) 4 (d) -1/4
d
What is the nearest to -8 in -2/15, 63, -0.13?
-2/15
Which is the closest to -41? (a) -28 (b) 2 (c) 0.8 (d) -0.4
a
Which is the closest to 72? (a) -5 (b) 5 (c) 0.21 (d) 1 (e) 0
b
Which is the closest to -18? (a) 0 (b) 0.144 (c) 7 (d) 2/5 (e) -5
e
What is the nearest to 0.1 in 0.06, 11, 229, 4, 0.4?
0.06
Which is the nearest to -2? (a) -4/37 (b) 2/5 (c) 2/21
a
Which is the nearest to -49/2? (a) -3 (b) -0.06 (c) -0.1 (d) -1/4
a
What is the closest to 1/3 in -4, 4/7, 0.2, 127/6?
0.2
What is the nearest to -0.5 in 1812/11, -1.3, 0.5?
-1.3
Which is the nearest to 1? (a) -1008 (b) -0.2 (c) 20/9 (d) -0.3
b
What is the nearest to -87 in 2/3, 0.2, -0.113?
-0.113
What is the nearest to -2 in 0.8569, -2, -0.5?
-2
Which is the nearest to 4? (a) 62 (b) 4/5 (c) -0.2
b
Which is the closest to -3? (a) 0.02 (b) 4 (c) -4203
a
What is the nearest to 3 in 2/7, -2, 7/167?
2/7
Which is the nearest to 0? (a) 2/5 (b) 320 (c) 0 (d) 1
c
What is the nearest to -1/68 in 3, 1, -0.0229?
-0.0229
What is the nearest to 1/10 in -0.3, -2, -1/4, -3, 8?
-1/4
What is the nearest to -1 in -2/59, -1/2, 2.9, 3?
-1/2
What is the nearest to -42 in -4/15, -22, 0, 5, -4?
-22
What is the nearest to 1 in 0.01, -12, 1/4, -4, -3/10?
1/4
What is the nearest to -3/8 in -9, 2/5, -2/3, -0.24, -0.01?
-0.24
Which is the nearest to -45? (a) -3 (b) 13 (c) -1/3 (d) -1 (e) 4
a
Which is the closest to -8? (a) 396 (b) 1/3 (c) -4/3 (d) -5
d
What is the closest to 1 in -0.1, 0.02, -4, 0, -788?
0.02
What is the nearest to -2310 in 3, 179/5, 1?
1
Which is the nearest to 340? (a) 4 (b) -6 (c) -0.5 (d) -0.4 (e) -2.1
a
Which is the closest to 0.7? (a) 22/7 (b) 4/5 (c) 2/15
b
Which is the closest to -0.1? (a) -0.2 (b) 2 (c) 0.09 (d) 0.2 (e) 39/61
a
What is the nearest to 5 in 3/7, 4, -2, -60, -1/3?
4
Which is the nearest to -1? (a) -425/9 (b) 2 (c) -6/7 (d) -0.2
c
Which is the closest to 1.4? (a) 86 (b) 0.3 (c) -5 (d) 4
b
What is the closest to -59.9 in -5, 1, 16?
-5
Which is the closest to -2/9? (a) -0.5 (b) -0.1 (c) 1/7 (d) 1
b
What is the closest to -1/125 in 1/2, -8, 1, -4?
1/2
What is the closest to 0 in -1, -4, 9912, 0.2?
0.2
Which is the nearest to 467? (a) -2/51 (b) 0.3 (c) 1 (d) 4/9
c
What is the nearest to -2/3 in -0.189, 2, 0.06, 0.1, -0.02?
-0.189
Which is the closest to -0.9? (a) 1/4 (b) -247 (c) 0.1 (d) 0
d
Which is the closest to 65? (a) 3 (b) -7776 (c) 4/3 (d) -0.4
a
Which is the nearest to -0.1? (a) -5 (b) 0.8 (c) 8
b
What is the closest to 6 in -18/7, 1, -14, -2/5?
1
What is the closest to -15/14 in 18, 1/4, -0.5, 1?
-0.5
Which is the nearest to -9? (a) 4 (b) 454 (c) 1
c
What is the nearest to -4 in 4/7, -0.2, 64558?
-0.2
What is the closest to -1 in -1, 0.23, 10, -0.3, 5?
-1
What is the closest to -1/25 in -0.3, -2/61, 1/5?
-2/61
Which is the nearest to 1/6? (a) 3 (b) 4/5 (c) -5 (d) 1169 (e) -4
b
Which is the closest to 9/2? (a) 6/7 (b) -0.5 (c) -44 (d) 0.5 (e) -3
a
What is the closest to 34 in 0.5, -3/2, 2/19, 4?
4
What is the nearest to 4 in 0.05, 78, -4, 71?
0.05
What is the closest to 2/7 in 0.2, -872, -0.8, -5, -0.1?
0.2
What is the closest to 0.1 in 2, 493, 4/7, 0.17?
0.17
Which is the closest to -128/15? (a) -2/3 (b) 4/7 (c) -45
a
What is the nearest to 17 in 0, 0.33, 3/2?
3/2
What is the closest to 1 in 128, -4, 2, -2/23?
2
Which is the closest to 3/7? (a) -9057 (b) -1/4 (c) 5 (d) 3/2
b
Which is the closest to -444? (a) -0.05 (b) -315 (c) -5
b
Which is the nearest to -1.3? (a) 0 (b) -0.06 (c) 13/8 (d) -0.2
d
What is the closest to 38 in 0.5, -0.9, 1/5, -35?
0.5
Which is the closest to -12? (a) 2/5 (b) -2/19 (c) -2/25 (d) 2/11 (e) -2/7
e
What is the closest to -4 in 472, 4, 2?
2
What is the nearest to -0.1 in 1407, -118, -5?
-5
What is the nearest to 2/13 in -3, 5/3, -0.6, 0, 96/13?
0
What is the nearest to 1 in -5/3, -2, -1, 7/10, -279?
7/10
Which is the closest to -1? (a) -30 (b) 2/13 (c) -1/4 (d) 2/7 (e) 0
c
Which is the nearest to -6? (a) 1/67 (b) -0.6 (c) -3 (d) -2/5
c
What is the nearest to 15 in 15/7, 0.2, 1/4, 7, 1/9?
7
Which is the nearest to 2? (a) 2/11 (b) -56/25 (c) 1/4
c
What is the closest to 0.1 in 377, -2, -51, -11/2?
-2
Which is the closest to -1? (a) 12/5 (b) 3 (c) -21 (d) -1/4
d
Which is the nearest to 1/3? (a) 4 (b) 1/4 (c) -2/207 (d) -0.08 (e) -0.4
b
What is the nearest to -1/4 in 4, 85, 8, 6?
4
What is the closest to 1 in -1, -0.08, 106?
-0.08
Which is the closest to -1/2? (a) 0.03 (b) 0 (c) -3 (d) -425 (e) 3/5
b
Which is the closest to 0.4? (a) -0.1 (b) 4 (c) 7/3 (d) -0.88
a
Which is the closest to 0? (a) -0.4 (b) 11/2 (c) 1066
a
What is the closest to 18/5 in 2/9, -1, -11/3, 9, -4?
2/9
Which is the nearest to 0? (a) -563 (b) -173 (c) 0.5 (d) -5
c
Which is the nearest to 0? (a) -54 (b) 0.38 (c) 5
b
What is the closest to -0.1 in 4, 0.2, 0.29621?
0.2
What is the closest to 2 in 57/2, -2/29, 0.03, -1/8?
0.03
What is the closest to 0.1 in -5, 46, 0.3, 11, -0.2?
0.3
Which is the nearest to 1/6? (a) -2/11 (b) -3 (c) -1131 (d) -1/4 (e) 0.1
e
What is the closest to -1686 in 1, 5, -5?
-5
What is the closest to 631 in 2/5, -2/21, -2, 0, 2?
2
Which is the closest to 1? (a) -33 (b) -4/5 (c) 1/16
c
Which is the closest to -57.08? (a) 3 (b) 0 (c) 6
b
What is the nearest to 1 in -0.2, 2, -2/3, -0.01, 1/9?
1/9
Which is the nearest to -66/7? (a) 18/5 (b) -5 (c) 3 (d) -1
b
Which is the nearest to 13? (a) -0.1 (b) -0.9 (c) 2/39
c
Which is the closest to 27? (a) 1/2 (b) 0 (c) 95 (d) 0.06
a
Which is the nearest to -24? (a) -0.02 (b) -3/2 (c) 1/870
b
What is the closest to -1 in -3/59, 202, 3/2, 0.02, 5?
-3/59
What is the nearest to -12 in 2/119, 1/3, 0.01, 2/7?
0.01
What is the nearest to 488 in -0.1, -5, 3/5, 0.2?
3/5
Which is the nearest to -711? (a) 61 (b) -0.06 (c) -5
c
Which is the closest to 124? (a) 19 (b) -1 (c) 0
a
What is the closest to -3 in 4/115, -0.1, -3, 2/3?
-3
Which is the nearest to 1/2? (a) 0.02 (b) 1419 (c) 2/3 (d) -1
c
Which is the nearest to 62? (a) -0.5 (b) -10/39 (c) 0
c
What is the closest to -236 in -2, -0.5, 2/3, -0.2, 0.4?
-2
What is the nearest to -7379 in -1/12, -0.4, 7?
-0.4
Which is the nearest to -0.2? (a) 4 (b) 18 (c) 9 (d) -0.8
d
Which is the closest to -158? (a) -8.6 (b) 0.4 (c) 0.24
a
What is the closest to 0.072 in 3, 0.5, -2, -1?
0.5
What is the closest to -0.38 in -0.2, -3/4, 1/22, 2, -1/10?
-0.2
What is the closest to 4 in -1229, -4/3, 2/15, 0.06?
2/15
What is the closest to 0.1 in -3, 183, 2/5, 5?
2/5
What is the closest to | {
"pile_set_name": "DM Mathematics"
} |
*(-5)/(j/(j*(j*j**3)/j))) assuming j is positive.
j**(-13/4)
Simplify (((l/(l/(l/l**(2/3))*l)*l)/l**(-1))/((l*l**(-2/5)/l)/(l/(l/l**(-1)))))**(-8) assuming l is positive.
l**(-88/15)
Simplify (u**(-3/4))**(10/3)*(u**(-1))**(3/14) assuming u is positive.
u**(-19/7)
Simplify (z**(-25)*z**(-3/13)*z)**(-39) assuming z is positive.
z**945
Simplify ((a*a*a**1)**(-11)*(a*a**(2/5)*a)**(13/4))**(-33) assuming a is positive.
a**(4158/5)
Simplify (o**(-2/5))**(7/2)/(o**(1/7)/((o**(-1/6)/o)/o)) assuming o is positive.
o**(-779/210)
Simplify ((t**(-12/11)*t)/t)/t**(5/2)*(t/t**3)**(5/3) assuming t is positive.
t**(-457/66)
Simplify ((p/(p/(p*p*p*p**(1/5)*p*p*p)))/p)**14/(p**11/p)**(-7/8) assuming p is positive.
p**(1631/20)
Simplify (((t/((t/(t*t**(2/3)))/t))/t)**(-5)*t/(t**(-2)*t)*t**(-1/13))**6 assuming t is positive.
t**(-500/13)
Simplify w**(-3/5)/w*w**(-4)*w/w**9*w/(w*w/w**(-5))*w assuming w is positive.
w**(-93/5)
Simplify ((o*(o*o**(-2/31)/o)/o*o)/(o*o*o/(o**(2/19)*o)*o))/(o**(13/2)/(o/((o*o**(-1)*o)/o))) assuming o is positive.
o**(-8787/1178)
Simplify ((a*a/a**29)/(a*a**25*a))/(a**16*a)**(-44) assuming a is positive.
a**694
Simplify (g**6*g**(-1/6))/(g**31/(g**(4/5)/g)) assuming g is positive.
g**(-761/30)
Simplify ((n*n**(-1/4)*n**(-1))/((n/(n**6*n))/(n**(2/5)/n)))**(1/4) assuming n is positive.
n**(103/80)
Simplify r*(r/(r*r**4/r))/r*r**(2/21)*(r/r**(2/3))**(-33) assuming r is positive.
r**(-292/21)
Simplify (b**(1/2)*b/(b**10*b))**(-1/18) assuming b is positive.
b**(19/36)
Simplify (w*w*((w/(w/(w/((w/w**(1/43)*w)/w)*w)))/w)/w*w*w/w**(-37))/((w*w/w**(-8/5))/w**(3/7)) assuming w is positive.
w**(55462/1505)
Simplify ((u/(u**(-2/19)/u))/(u**(-22)/u))/((u**(6/5)/u)/u*u**(2/57)) assuming u is positive.
u**(7373/285)
Simplify ((z/z**(-20)*z)/z)**(2/11)*(z/(z/(z*z**(3/4))))**(1/3) assuming z is positive.
z**(581/132)
Simplify ((n*n*n**20)/n**(-11))/((n/n**(-8/5))/n**4) assuming n is positive.
n**(172/5)
Simplify (i/(i*i*i/((i/i**(-24))/i))*i)/i**(-1/10)*(i/i**(2/3)*i)/i**34 assuming i is positive.
i**(-287/30)
Simplify ((q/(q**29*q))/q**(-32))/(q**(2/29)*q/(q/(q*q/q**31))) assuming q is positive.
q**(926/29)
Simplify (j**(-6/11)/((j/(j*j*j**(-5/3)))/j*j))/((((j*j*(j/(j**(2/5)*j)*j)/j*j)/j)/j)/(j/j**(3/2)*j)) assuming j is positive.
j**(-433/330)
Simplify (a/(((a/(a/(a*a**11*a)*a))/a)/a*a)*a/a**2)/(a/(a/a**(1/2))*a**(10/9)*a) assuming a is positive.
a**(-245/18)
Simplify (o/((o**4/o)/o))**(-11)/(o**(11/4)/(o/(o*o**(-4/5))*o*o)) assuming o is positive.
o**(221/20)
Simplify (p*((p/(p**(1/4)/p)*p)/p)/p*p**(1/8))/(p**(-2/23)*p**(-2/5)) assuming p is positive.
p**(2173/920)
Simplify ((j**9*j*j**(-6))**24)**(-1/4) assuming j is positive.
j**(-24)
Simplify ((d/d**(2/7))**(-1/7)/(d**(-7)*d**5))**45 assuming d is positive.
d**(4185/49)
Simplify ((j/j**(-2)*j)/j)/j*(j*j**(2/25)/j*j*j*j)/j*(j*j**1/j)**6 assuming j is positive.
j**(252/25)
Simplify ((z/(z**(-1/2)/z))**(-12/5)/(z**(-3)*z)**(5/11))**(-21) assuming z is positive.
z**(1176/11)
Simplify ((v/v**(19/4))/v*v*(v*((v*v/v**(-1/30)*v)/v)/v)/v)**(-4) assuming v is positive.
v**(163/15)
Simplify ((f*f**(-5)*f*f*f**(-2/3))/((f/(f*f*f*(f/f**(-2/3))/f))/f)**42)**(4/11) assuming f is positive.
f**(1816/33)
Simplify (w**21*w*w*w*(((w*((((w**(-14/5)*w*w)/w)/w)/w)/w)/w)/w)/w*w*w)/(w**(2/3)/((w/w**(-21))/w)) assuming w is positive.
w**(593/15)
Simplify (((t/(t*t**(-6)*t))/t**(2/3))/(t**(1/4))**32)**(1/20) assuming t is positive.
t**(-11/60)
Simplify ((o/(o*o*o/(o*o*o**(-1)/o)*o))**(-5/12)/(o**(-1)/(o**(-3/7)*o*o)))**(-47) assuming o is positive.
o**(-5029/28)
Simplify (d**(-2))**(-38)*(d*d*(d/((d*d*d/d**14*d)/d))/d)/d*d*d*(d/d**13*d)/d assuming d is positive.
d**78
Simplify w**(-9)*(w**(-5/4)/w)/w*(w/(w*(w/(w**3/w))/w))**(-44) assuming w is positive.
w**(-401/4)
Simplify ((m/(m/(m*m**(-2/5)*m)))/m*m*(m/((m**5*m)/m*m*m))/m)/(m/m**(-1/4))**(-10/13) assuming m is positive.
m**(-577/130)
Simplify ((n**(-50))**(-13))**(1/8) assuming n is positive.
n**(325/4)
Simplify y**3/((y*y**15)/y)*(y/((y/y**(-1/3)*y*y)/y)*y)**(-6/19) assuming y is positive.
y**(-226/19)
Simplify ((p*(p*p**(-6/13))/p*p)/p**(-1))**(-22/5) assuming p is positive.
p**(-726/65)
Simplify (((v*v*(v*v*v**(-11)/v*v)/v)/v)/v*v/v**(-12))/(v*v/v**(3/10)*v**11) assuming v is positive.
v**(-97/10)
Simplify (b*b/b**(-1))**(11/5)*(b**(1/3)*b*b)/(b**3/b*b) assuming b is positive.
b**(89/15)
Simplify (((o**(-2)*o*o)/o*o)/o**(2/27))**11 assuming o is positive.
o**(-22/27)
Simplify (((c**(11/2)*c)/(c/((c**3/c)/c)*c))/(c/(c/(c*c**(-8)))*c**(3/8)))**(-5/8) assuming c is positive.
c**(-485/64)
Simplify b**(-29)*b*b**27*b*b**32*b*b*((b*b**27*b)/b*b)/b*b assuming b is positive.
b**63
Simplify (r**0*r*r*r*r**6*r*r)/(r/((r**(-2)*r)/r)*r)**(-30/11) assuming r is positive.
r**(241/11)
Simplify (x**21/(((x*x*x**(-16/3))/x)/x))/(x**10/((x*x**(-2/59)*x)/x)) assuming x is positive.
x**(3062/177)
Simplify (x**(-3)*x**1/x)/(x**(-3))**(-15/7) assuming x is positive.
x**(-66/7)
Simplify ((z*z/z**(-25))/z)/(z**(-8)*z)*(z/z**(2/17))**(-9/2) assuming z is positive.
z**(987/34)
Simplify ((d**(1/4)*d)**21)**24 assuming d is positive.
d**630
Simplify ((l/((l**(1/2)/l*l)/l))**(15/8)*l**(-9/5)/l**(1/4))**26 assuming l is positive.
l**(793/40)
Simplify (v/v**2)**28*v/v**(1/3)*v*v**(5/2) assuming v is positive.
v**(-143/6)
Simplify ((l**(2/3)*l**(1/3)*l*l*l*l)/(l**(-2/3)/l*(l/l**(-6))/l*l))**(-15) assuming l is positive.
l**5
Simplify (o/(o*o**2))**(3/14)*o**(-11)/o**(3/11) assuming o is positive.
o**(-901/77)
Simplify (p**(3/7)/p)**(1/18)*(p**7)**37 assuming p is positive.
p**(16315/63)
Simplify ((r**(-4)/(r*r**(2/5)))/(r*r**(-1))**(2/29))**(-31/4) assuming r is positive.
r**(837/20)
Simplify (k**(-7/6)/k*k*k**6)**(-1/6) assuming k is positive.
k**(-29/36)
Simplify g/(g/(g/(g/(g/(g**(-7/2)*g)))))*(g/g**(1/24))/g*g**(-9)/(g**(-31)/g) assuming g is positive.
g**(635/24)
Simplify ((m**5/m)**(-33))**4 assuming m is positive.
m**(-528)
Simplify (d/d**2)**(23/6)*d**(1/2)*d**(-8/7) assuming d is positive.
d**(-94/21)
Simplify ((n/n**(-14)*n**(-1/6)/n)**27)**(-33) assuming n is positive.
n**(-24651/2)
Simplify (n**(-18)*n)**(-2/3)/(n**0*n*n**(-5/3)) assuming n is positive.
n**12
Simplify (c/c**(-2/29)*(c/(c/c**(-25)))/c*c)/(c**(6/13)*c/(c/(c**(-8)/c)*c)) assuming c is positive.
c**(-5426/377)
Simplify ((g**(-1/9)*g)/(g/(g/((g**15/g)/g))*g))/(g**(-5))**(15/2) assuming g is positive.
g**(439/18)
Simplify g**(3/7)/(((((g**(1/55)/g*g)/g)/g)/g)/g)*(g*g**15*g*g)/g**(-32) assuming g is positive.
g**(20948/385)
Simplify ((l*l*l/((l/((l/(l/(l*(l**4/l)/l)))/l)*l*l)/l))/((l/((l*l*l*l**(-19))/l))/l*l*l))/(l/(l/(l**(-7)/l)))**(-46) assuming l is positive.
l**(-384)
Simplify b/((b/(b**(-10)/b*b))/b)*b**(-4/11)*b*b**(-11/2)/(b*b/b**11*b) assuming b is positive.
b**(-129/22)
Simplify k**24*k*k**(13/5)*k**(-20)*k**(-3)/k assuming k is positive.
k**(18/5)
Simplify ((y*y**(-2))**(-27)/(y**(5/2)/(y/((y*y**(2/7))/y))))**5 assuming y is positive.
y**(1765/14)
Simplify (a/(a*a/(a*a**14)*a))/(a/(a/(a**(1/9)/a)*a))*((a*a**12*a)/a*a)/(a/(a/(a*a/(a*a**15)))) assuming a is positive.
a**(386/9)
Simplify ((c*c**(-6)/c*c)/c**(-16/5))**3 assuming c is positive.
c**(-27/5)
Simplify ((g*g**(-26))/g**(-24))/(g**(-1/6))**(12/7) assuming g is positive.
g**(-5/7)
Simplify ((g*(g*g**(1/3))/g*g)**(-7/4)/((g*g/(g*g**(-1/3)/g))/g**5))**(2/9) assuming g is positive.
g**(-17/54)
Simplify ((v**0*v)/v)**(1/6)*(v/(v*v*v*v/(v**2/v)))**44 assuming v is positive.
v**(-88)
Simplify (n/((n*n**(3/17))/n))/n**14*n**14/(n*n*((n**(1/21)*n)/n)/n) assuming n is positive.
n**(-80/357)
Simplify ((w/w**(-13)*w)/(w/w**(-15)))/(w/(w/w**11)*w**(-21)) assuming w is positive.
w**9
Simplify ((q*q**2)/(q**(-1/4)/q)*q/(q/(q/((q*q**(-1/6))/q)))*q*(q*q**6)/q)**(-42) assuming q is positive.
q**(-1043/2)
Simplify (g*g**(-9)*g*g/g**(-2/25))/(g/g**8*g**(2/61)*g) assuming g is positive.
g**(72/1525)
Simplify (i*i**(-1/14)*i*i/(i/(i/(i*((i**(-9)/i)/i)/i))))/(i/(i**2/i))**(-2/63) assuming i is positive.
i**(195/14)
Simplify (((q/(q*(q/q**(7/5))/q))/(q**2*q))/(q/((q*q**(3/2))/q)*q*q**9))**(-14) assuming q is positive.
q**(777/5)
Simplify (d**1/d)**5/(d*d**2)**(2/23) assuming d is positive.
d**(-6/23)
Simplify ((p**(2/27)*p)/p)/(p/(p*p/p**(2/5)))*p**(2/9)*p/((p*p*p**8)/p) assumin | {
"pile_set_name": "DM Mathematics"
} |
/11 + p**2/11 - 5*p. Let a(v) = 0. Calculate v.
-1
Factor -8*t - 2 + 32*t**2 + 2 - 4*t**4 - 20*t**2.
-4*t*(t - 1)**2*(t + 2)
Let o(z) be the third derivative of 1/20*z**5 + z**2 + 0*z + 1/12*z**4 - 1/6*z**3 + 1/90*z**6 + 0. Let k(x) be the first derivative of o(x). Factor k(q).
2*(q + 1)*(2*q + 1)
Let x(f) be the first derivative of -f**5 + 5*f**3/3 - 10. Determine h, given that x(h) = 0.
-1, 0, 1
Let z be (-2)/17 - 20/(-170). What is o in 2/5*o**2 - 1/5 - 1/5*o**4 + z*o**3 + 0*o = 0?
-1, 1
Let a(t) be the third derivative of t**5/135 - 7*t**4/54 + 20*t**3/27 - 22*t**2. Factor a(f).
4*(f - 5)*(f - 2)/9
Let g(v) be the second derivative of -v**7/210 + v**6/75 - v**4/30 + v**3/30 - 7*v. Let g(p) = 0. Calculate p.
-1, 0, 1
Let d(v) = 4*v**2 + 5. Let b(c) = -15*c**2 - c - 19. Let m(z) = 6*b(z) + 22*d(z). Find w such that m(w) = 0.
-2, -1
What is c in 2*c**5 + 0*c**4 + 48*c - 4*c**2 + 4*c**4 - 50*c + 0*c**2 = 0?
-1, 0, 1
Factor -10*f**3 + 14*f**4 - 8*f**4 - 11*f**4.
-5*f**3*(f + 2)
Find d, given that -8/9*d + 2/9*d**2 + 8/9 = 0.
2
Let v be (14/10 - 1)*(-15)/(-99). Let k(w) be the third derivative of 1/132*w**4 + w**2 + 1/165*w**5 - v*w**3 + 0 - 1/660*w**6 + 0*w. Factor k(a).
-2*(a - 2)*(a - 1)*(a + 1)/11
Let f(c) be the third derivative of 1/90*c**5 + 0*c + 1/36*c**4 + 0 - c**2 + 0*c**3 - 1/180*c**6 - 1/315*c**7. Find m, given that f(m) = 0.
-1, 0, 1
Determine v, given that 32/7*v - 4/7*v**2 - 64/7 = 0.
4
Find p, given that 69*p**3 + 71*p**4 + 2 - 44*p**4 - 11*p**2 + 19*p + 70*p**2 = 0.
-1, -1/3, -2/9
Let b(c) = 0*c**2 - 8*c + 5*c**2 + 0*c**2 + 5*c**2. Let y(h) = -h**3 - h**2. Let m(f) = b(f) + 2*y(f). Factor m(o).
-2*o*(o - 2)**2
Factor 9*i**2 - 44*i + 24*i - 4*i**2.
5*i*(i - 4)
Let a = 102 + -914/9. Factor -a - 2/9*s**2 - 2/3*s.
-2*(s + 1)*(s + 2)/9
Factor 3/2*r**3 - 1 + 3*r - 1/4*r**4 - 13/4*r**2.
-(r - 2)**2*(r - 1)**2/4
Let t be (-9)/(-27) + (-29)/(-3). Let n(o) = -o**3 + 10*o**2 - o + 12. Let r be n(t). Determine i, given that -5/3*i**4 + 4*i**3 + 2/3*i + 0 - 3*i**r = 0.
0, 2/5, 1
Let c(q) = -7*q**2 - 2. Let v(y) = -3*y**2 - 1. Let w = 12 - 16. Let s(k) = w*c(k) + 9*v(k). Find h such that s(h) = 0.
-1, 1
Solve -4/3*u + 1/3 + 4/3*u**3 - 1/3*u**2 = 0 for u.
-1, 1/4, 1
Let t be ((-1)/(-7))/(-1)*(-602)/172. Factor t - o + 1/2*o**2.
(o - 1)**2/2
Let t(s) be the first derivative of -3*s**5/5 + 9*s**4/4 - 6*s**2 - 2. Factor t(c).
-3*c*(c - 2)**2*(c + 1)
Suppose 0 = -3*r + 3*i + 15, -10 = -2*r + 3*i + 1. Factor -4*c - 8*c**2 + 6*c**2 + 9*c**r + 8*c**3 - 3*c**4.
2*c*(c + 1)**2*(3*c - 2)
Let g(x) be the third derivative of x**8/3360 + x**3/2 - 2*x**2. Let i(f) be the first derivative of g(f). Factor i(k).
k**4/2
Let d = 3/37 + -203/2960. Let o(q) be the third derivative of -q**2 + 1/672*q**8 - 1/140*q**7 + d*q**6 - 1/120*q**5 + 0 + 0*q**4 + 0*q**3 + 0*q. Factor o(m).
m**2*(m - 1)**3/2
Let r be -4 - (-16)/(-7)*-2. Let 0 - 2/7*s - 2/7*s**3 - r*s**2 = 0. What is s?
-1, 0
Let k(x) = -2*x**2 - 10*x - 2. Let a(c) = -3*c + c + 0*c + 3*c. Let q(l) = -6*a(l) - k(l). Factor q(o).
2*(o + 1)**2
Let d(v) be the first derivative of -3*v**4 + 44*v**3/3 - 16*v**2 - 16*v + 46. Factor d(z).
-4*(z - 2)**2*(3*z + 1)
Let k(i) be the third derivative of -i**5/120 - 5*i**4/48 + 27*i**2. Find t such that k(t) = 0.
-5, 0
Let w(i) be the second derivative of -i**5/30 + i**3/9 - 8*i. Factor w(v).
-2*v*(v - 1)*(v + 1)/3
Let v be 2*1 + 52/(-8). Let j = 5 + v. Solve -1/2 + 3/2*u**2 + 1/2*u - u**4 - j*u**3 = 0 for u.
-1, 1/2, 1
Let o(f) be the first derivative of -f**4/6 - 10*f**3/9 + 13*f**2/3 - 14*f/3 - 2. Factor o(j).
-2*(j - 1)**2*(j + 7)/3
Let v = 20/19 - 62/95. Let j = -97 + 487/5. Solve -j*t**3 + 0 + v*t**2 + 0*t = 0 for t.
0, 1
Let u(v) be the second derivative of 3*v + 1/2*v**2 - 1/360*v**6 + 1/30*v**5 - 1/6*v**4 + 0 + 4/9*v**3. Let i(t) be the first derivative of u(t). Factor i(q).
-(q - 2)**3/3
Let i(q) be the third derivative of -q**10/60480 + q**8/6720 - q**6/1440 - q**4/12 - 2*q**2. Let w(b) be the second derivative of i(b). Factor w(z).
-z*(z - 1)**2*(z + 1)**2/2
Let -3*b**2 + 4*b**3 - 5*b**3 - 9*b**4 + 10*b**3 + 3*b**5 = 0. What is b?
0, 1
Factor 2 + 31*o**2 - 48*o**5 - 5*o**2 + 1 - 48*o**4 + 22*o**2 + 24*o**3 + 21*o.
-3*(o - 1)*(2*o + 1)**4
Let m(u) be the third derivative of -u**7/2100 - u**6/900 + u**5/300 + u**4/60 + u**3/6 + 3*u**2. Let v(g) be the first derivative of m(g). Factor v(z).
-2*(z - 1)*(z + 1)**2/5
Let o(r) be the third derivative of 1/20*r**5 + 5*r**2 + 0*r**3 - 1/40*r**6 + 0*r + 1/4*r**4 + 0. Find a such that o(a) = 0.
-1, 0, 2
Let i(f) be the third derivative of f**8/336 - f**7/105 + f**5/30 - f**4/24 - 11*f**2. Solve i(h) = 0 for h.
-1, 0, 1
Let n = -49 + 151/3. What is f in -2*f**2 - 2/3*f**3 - n + 2/3*f**4 + 10/3*f = 0?
-2, 1
Let b(s) = -8*s - 2. Let r(t) = t**2 + t + 1. Let u(p) = b(p) + 2*r(p). Factor u(j).
2*j*(j - 3)
Let l(x) be the third derivative of -x**6/30 + 7*x**2. Factor l(q).
-4*q**3
Let v(x) be the second derivative of -7*x**5/100 + 13*x**4/30 - 13*x**3/30 - 3*x**2/5 + 3*x. Solve v(y) = 0 for y.
-2/7, 1, 3
Find t, given that 1/2*t - 1/2*t**2 + 0 - 1/2*t**3 + 1/2*t**4 = 0.
-1, 0, 1
Let z(w) be the second derivative of -2*w**6/15 + 4*w**5/5 - 5*w**4/3 + 4*w**3/3 - 4*w. Factor z(b).
-4*b*(b - 2)*(b - 1)**2
Let r(o) be the first derivative of 0*o + 0*o**2 - 3/4*o**4 + o**3 + 2. Find h, given that r(h) = 0.
0, 1
Let 2 + 6 - 2*i**5 + 15*i**4 - 14*i**2 + 15*i**4 + 2*i**3 - 24*i**4 = 0. What is i?
-1, 1, 2
Let q = 1 + 2. Suppose -17 = -5*y + q, y = -2*j + 12. Factor 0 + 0*h**2 - 1/3*h**3 - 1/3*h**5 + 0*h - 2/3*h**j.
-h**3*(h + 1)**2/3
Suppose 2*g + 12 = 5*g. What is j in -3*j**2 + g*j**2 - 2*j - 3*j**2 = 0?
-1, 0
Let w = 781/5 + -156. Solve -w*h**2 - h**4 + 2/5*h + 0 - 8/5*h**3 = 0 for h.
-1, 0, 2/5
Let v = -150 - -1952/13. Factor 8/13*t**4 - 12/13*t**3 + 0 + 8/13*t**2 - v*t - 2/13*t**5.
-2*t*(t - 1)**4/13
Let q(g) be the first derivative of -g**5/180 - g**4/24 - g**3/9 - g**2 + 3. Let c(u) be the second derivative of q(u). What is z in c(z) = 0?
-2, -1
Factor 65*i - 3 - 23*i**2 + 9*i**3 - 4*i**3 - 17*i**2 - 27.
5*(i - 6)*(i - 1)**2
Let x = -2 + 7/3. Let h(g) be the first derivative of -1 + 0*g**2 + 1/3*g**3 - x*g - 1/6*g**4. Factor h(p).
-(p - 1)**2*(2*p + 1)/3
Let c(b) be the second derivative of b**7/105 + b**6/20 + b**5/10 + b**4/12 - 3*b**2/2 + 3*b. Let h(k) be the first derivative of c(k). Factor h(a).
2*a*(a + 1)**3
Let c(g) be the first derivative of -1/5*g**3 - 5 + 0*g + 3/25*g**5 + 3/20*g**4 - 3/10*g**2. Solve c(l) = 0 for l.
-1, 0, 1
Factor -3/5*m**3 + 9/5*m + 0*m**2 + 6/5.
-3*(m - 2)*(m + 1)**2/5
Let v be 2/(-4) - (-11)/10. Let o = -15 + 15. Factor -3/5*s**2 + o + 3/5*s**4 - 3/5*s**3 + v*s.
3*s*(s - 1)**2*(s + 1)/5
Let n(a) be the third derivative of -a**6/24 + 5*a**5/12 - 5*a**4/3 + 10*a**3/3 - 11*a**2. Factor n(d).
-5*(d - 2)**2*(d - 1)
Let b(s) be the third derivative of s**5/60 + 5*s**2. Suppose b(w) = 0. What is w?
0
Let m(d) = 13*d**4 + 27*d**3 + 43*d**2 + 27*d + 8. Let o(y) = 6*y**4 + 14*y**3 + 22*y**2 + 14*y + 4. Let c(s) = -2*m(s) + 5*o(s). Factor c(g).
4*(g + 1)**4
Factor -3*u**4 + 4*u**4 + 6*u**3 - 4*u**3 - 3*u**5.
-u**3*(u - 1)*(3*u + 2)
Let k(w) be the second derivative of -7*w**4/108 + 2*w**3/9 + 2*w**2/9 - 12*w. What is s in k(s) = 0?
-2/7, 2
Let j(d) be the first derivative of -14*d**5/55 - 9*d**4/22 - 4*d**3/33 - 1. Factor j(b).
-2*b**2*(b + 1)*(7*b + 2)/11
Let g(y) = -y**2 - 7*y - 10. Suppose -n + 4 = 3*d + 6, d = 3*n + 16. Let k be g(n). Suppose 2/3*o**2 - 2/3 + k*o = 0. Calculate o.
-1, 1
Factor 7*p**2 + 4 + 5*p**2 + p**3 + p - 13*p - 5*p**3.
-4*(p - 1)**3
Let f(m) = m**5 - m**4 + m**3 - m - 1. Let v(t) = 10*t**5 - 30*t**4 - 5*t**2 - 15*t - 15. Let w(l) = 15*f(l) - v(l). Factor w(i).
5*i**2*(i + 1)**3
Let z(i) be the third derivative of -5*i**8/21 - 32*i**7/21 - 79*i**6/24 - 7*i**5/3 + 25*i**4/24 + 5*i**3/3 - 16*i**2. Solve z(n) = 0 for n.
-2, -1, -1/4, 1/4
Let x(t) be the second derivative of -t**6/105 + t**5/70 + t**4/21 + 6*t. Factor x(m).
-2*m**2*(m - 2)*(m + 1)/7
Let a(c) be the second derivative of 0*c**3 + 1/48*c**4 - 2*c - 1/8*c**2 + 0. Determine k so that a(k) = 0.
-1, 1
Let l(t) be the first derivative of -4*t**3/3 + 16*t**2 - 64*t - 15. Let l(v) = 0. What is v?
4
Let j(k) be the third derivat | {
"pile_set_name": "DM Mathematics"
} |
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