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- b, -2*o + 14 = 4*b. Let v(m) = m**2 + 7*m + 4. Let w be v(-6). Put a, 0, w, o in increasing order.
w, 0, o, a
Suppose 0 = 2*p - 3*n - 19, 2*n + 4 = -p - 2*p. Suppose 2 = 3*c - 4*m - 1, 9 = p*c - 5*m. Let q be (140/(-6))/7*c. Sort 1, -1, q, 5 in decreasing order.
q, 5, 1, -1
Suppose 0 = 5*j + 5*c + 40, 0 = j - 0*j - 5*c - 4. Suppose 0 = i - 3, -5*q - 2*i = i + 41. Let k be 1/((q + 5)/5). Put 3, 0, k, j in ascending order.
j, k, 0, 3
Let g = 592 - 592.506. Let a = g - -0.206. Suppose -2*q + 1 = -j, 4*q - 3*q - 5 = -j. Sort a, 1.1, j in decreasing order.
j, 1.1, a
Let l = -118 - -115. Suppose 0 + 0 = -2*a. Suppose -3*r + 2*x + 32 = 0, -r + 3*r + 3*x - 43 = a. Sort 5, l, 0, r.
l, 0, 5, r
Let r be ((-200)/(-48))/((-2)/(-12)). Suppose -r*b + 28*b + 6 = 0. Put -16, b, 3 in increasing order.
-16, b, 3
Let h = -0.01 - -0.17. Let v = -0.17996 - -0.03996. Let x = v + h. Sort 1, -3, 2/11, x.
-3, x, 2/11, 1
Let l = 29.7 + -37.7. Let a = l + 8.3. Put -0.1, a, -5, 3/5 in decreasing order.
3/5, a, -0.1, -5
Suppose 0 = -q + 25 + 81. Let h be (-42)/63 + 3172/(-30). Let m = q + h. Put m, 2, -0.5 in descending order.
2, m, -0.5
Let a = -22.33 + 19.33. Sort 1, 1/2, -82, a in increasing order.
-82, a, 1/2, 1
Let m = 8 - 11. Suppose 3*x = -25*c - 69, -3*c - 10 + 9 = 4*x. Suppose -18 = -3*u + 2*p + 23, p = -4. Sort m, -5, u, x in decreasing order.
u, x, m, -5
Let j be (1121/(-4845))/(2/5). Let s = j + -3/34. Suppose 2*c - 6*c + 32 = 0. Sort c, -2/5, s in increasing order.
s, -2/5, c
Let q = -0.27043 + 2.27043. Sort q, 1/6, 42.
1/6, q, 42
Suppose -4*c - 72 = 2*c. Let j(q) = q**2 + 14*q + 3. Let t be j(-14). Let f(m) = m**3 - 21*m**2 - 46*m - 3. Let a be f(23). Put t, a, 0, c in descending order.
t, 0, a, c
Let k be -1*2*(987/42 - 23). Suppose 5*a = -0*a. Put a, -2, 1, k in decreasing order.
1, a, k, -2
Suppose 6*j + 2 = 14. Suppose -3*d = -j*a - a - 12, -2*d + 4 = 0. Let k be ((-5)/(-20))/(22/(-16)). Sort 2/17, a, k in decreasing order.
2/17, k, a
Let w = -0.447 - -0.147. Let m(n) = n**3 + 14*n**2 + n - 14. Let y be m(-14). Let j = 30 + y. Sort j, w, -2/11, -7 in descending order.
j, -2/11, w, -7
Suppose 5*y = -2*d + 28 + 66, -4*d + 3*y = -136. Sort -3, 5/6, d in decreasing order.
d, 5/6, -3
Let t = 111 + -107. Suppose -5*l - 2*v = -2, -t*l + 3 = -4*v + 7. Sort l, -1, 5, 17 in increasing order.
-1, l, 5, 17
Let w(x) = -11*x - 30. Let y be w(-3). Suppose -v - 8 = -y*d, 4*d - 8 - 20 = -3*v. Suppose -p = -3*p + 6. Sort p, v, 2.
2, p, v
Let i = 0.8533 - 0.8833. Put -1, i, 0.4 in decreasing order.
0.4, i, -1
Let r = -0.494 + 0.64. Let q = r + -0.246. Sort q, 4/3, -2.
-2, q, 4/3
Let h be (-519)/(-4) + (-5)/(-20). Let b be (h/52)/(1/2). Let t = 1.87 - -0.13. Sort 1, b, -5, t.
-5, 1, t, b
Let t(s) be the third derivative of -s**5/60 + 3*s**4/4 - 77*s**3/6 - 51*s**2. Let c be t(12). Let k be (0 + 1 + 1)/(-1). Sort k, 1, c in decreasing order.
1, k, c
Let p be 29/(-116) - (-150)/(-40). Put p, 1, -186, 3 in decreasing order.
3, 1, p, -186
Suppose -3*l = 5*i + 742, 4*l + 3*i + 1239 = 257. Let z = l + 140. Let p = z - -105. Put p, 4, 8 in increasing order.
p, 4, 8
Suppose 12 + 18 = -20*x - 30. Let i be ((-75)/(-9))/(-5)*3. Let z = i - -6. Put -4, z, -2, x in decreasing order.
z, -2, x, -4
Let y = -128 + 122. Let c = 1.126 - 0.326. Sort y, -0.1, c, -0.4 in descending order.
c, -0.1, -0.4, y
Let y(c) = -c**3 - 20*c**2 - 24. Let r be y(-18). Let o = r - -477. Put -0.5, -1, o in ascending order.
o, -1, -0.5
Let q = 388030 + -388037. Let h be ((-1)/6)/((-9)/(-12)). Sort q, -1/10, -1, h in decreasing order.
-1/10, h, -1, q
Let j = -5175 - -5177. Sort 31, 0.2, 2/23, j.
2/23, 0.2, j, 31
Let i(d) = d - 25. Let n be ((-12)/8)/((-3)/42). Let u be i(n). Suppose -p = 5*v + 11, 3*p - 17 = 2*v + 1. Put u, v, 5, 2 in decreasing order.
5, 2, v, u
Let y be -3*2*1/2. Let x = 93 + -12. Let f = x + -81.5. Put 2/15, y, f in descending order.
2/15, f, y
Let c = 709/2916 + 5/729. Put 3, -1, -9.1, -4/7, c in ascending order.
-9.1, -1, -4/7, c, 3
Let p be (-68)/(-17)*(-1)/2 + 8. Suppose 4*n + p = n. Sort n, -4, 5 in decreasing order.
5, n, -4
Suppose 9 = -z - 3*q, 367 = 5*z - 3*q + 376. Sort -102, z, -2, 1 in descending order.
1, -2, z, -102
Let g(m) = 2*m**3 - 71*m**2 - 12*m + 1649. Let a be g(35). Suppose 2*f = 5*f + 12, 0 = -2*d - 2*f - 16. Put d, -1, 7, a in decreasing order.
7, a, -1, d
Let z be (5 + (-75)/10)/(3/(-12)). Suppose z*o = 16 + 14. Sort 0.4, o, 7 in decreasing order.
7, o, 0.4
Let x = -165 + 163. Let h be x - (3 - 1) - (-90)/10. Put h, 37, 2 in ascending order.
2, h, 37
Let q(r) = 4*r - 38. Let d be q(8). Let v be d/15 - 128/(-220). Sort 4, -4, 0.8, v in descending order.
4, 0.8, v, -4
Let s = -53 - 0. Let m = -65 - s. Sort 0, m, 2 in decreasing order.
2, 0, m
Let y = 25502 - 25488. Sort -2, -0.4, y, -3, 3.
-3, -2, -0.4, 3, y
Let b = 5342.005 - 5342. Put 3, -3/7, -2, b in ascending order.
-2, -3/7, b, 3
Let j = -2808823159/1038 - -2705995. Let z = -1/346 - j. Sort -1, 62, z.
-1, z, 62
Let f = -180.979 + -0.021. Let q = 178 + f. Sort -5, 5, q, 0.3.
-5, q, 0.3, 5
Suppose -3 + 3 = -13*u. Let x be (2 - u)/10 - (-189)/1080. Sort -1/2, -24, x, -0.4 in descending order.
x, -0.4, -1/2, -24
Let l = -92 - -141. Suppose -9*c - 40 = -l. Put c, -4, 5, 0 in increasing order.
-4, 0, c, 5
Let a be 40*(-5)/(-50)*5. Let n be (6/15)/(-2)*a/(-12). Sort 2/15, n, -2 in decreasing order.
n, 2/15, -2
Let n be ((0 + -1)/(-1))/(1 - 0). Suppose 14 = -12*c + 2. Let x be (2 - 1)/(2/(-8)). Sort c, x, n in decreasing order.
n, c, x
Let o = -24667 + 24670. Suppose 2*w + 360 = -3*j, -5*j + w + w - 600 = 0. Sort j, o, -3, 4.
j, -3, o, 4
Let n = -0.86223 - -0.86223. Let f = -3.002 + 3. Put n, f, -5 in increasing order.
-5, f, n
Suppose 2*j + 4*s = 27 + 9, 3*j - 5*s = 76. Suppose 22 = -w + 5*w - 2*n, 5*w = -3*n + j. Let v be 4/6 + (-10)/6. Put 1, -5, v, w in descending order.
w, 1, v, -5
Let j(w) = -38*w + 1434. Let r be j(38). Put -2, -7, 4, -5, r in ascending order.
r, -7, -5, -2, 4
Let u = -0.89 - 0.11. Let o = 23 + -83. Let v = -69 - o. Put 1, 1/4, u, v in descending order.
1, 1/4, u, v
Let p = -1.08883 - -0.08883. Let x = 673/1752 - 2/219. Sort -1/2, p, x, -5 in increasing order.
-5, p, -1/2, x
Let h be ((-4750)/1140)/((-5)/828). Put h, -3, 2, 3 in descending order.
h, 3, 2, -3
Let q(a) = -256*a + 9789. Let j be q(39). Sort 0, 23, j, -2 in ascending order.
j, -2, 0, 23
Let p = 220.58 + -220. Let t = p - 2.58. Sort 1/3, 4, -1.2, t in increasing order.
t, -1.2, 1/3, 4
Suppose 2*v - 5*r + r = -350, 3*v + 3*r = -507. Let j = v - -173. Put -5, 3, j, -1 in descending order.
3, j, -1, -5
Suppose 80*x = 106*x - 312. Put 1/7, 5, x, -0.5 in decreasing order.
x, 5, 1/7, -0.5
Suppose 2*v + 73 = 77. Suppose 0*m + 16 = v*m. Suppose 0*r - 8 = m*r. Put 1, -7, r in ascending order.
-7, r, 1
Let q be 2*1/3 - 1. Let z = -220.317 + 222.1. Let i = 0.217 + z. Sort i, q, 0.4 in decreasing order.
i, 0.4, q
Let g be 334/835 - (1 - (-6)/(-10)). Sort -0.1, 2, -1/3, -18, g.
-18, -1/3, -0.1, g, 2
Let n(b) = 28*b**2 - 9*b - 131. Let i be n(-6). Let t = i - 1859/2. Let s = -0.39 - 0.01. Put t, 7, s in descending order.
7, t, s
Let n be -6*((-207)/(-6))/(-23). Put -1, n, 130 in ascending order.
-1, n, 130
Suppose -8 = -3*w - 4*j, 9 = 5*j - 1. Let z be ((-1961)/37 - -50) + (-5)/(-1). Let o be (-1)/(-2)*10/(-1). Sort w, z, o, 5 in descending order.
5, z, w, o
Let s = -38 + 97. Let f = -73 + s. Let p be -4 - ((-2)/1)/(-2). Put p, f, -1 in decreasing order.
-1, p, f
Let a = -26120 - -26119.7. Let t be (-4)/10 - 6/(-10). Sort -3, a, -1/4, t.
-3, a, -1/4, t
Suppose -4*c - 4 = m + 3*m, 11 = c - 5*m. Let y be (0 - (-1 + 4))*-1. Suppose -4*b - 3*t - 20 = 2*t, 4*b - 3*t = -20. Sort b, c, y in descending order.
y, c, b
Suppose 8*o + 6 = -130. Let j be o/((-34)/8) - 22/4. Sort 0, 1/8, j, 0.5 in decreasing order.
0.5, 1/8, 0, j
Let o(x) = 56*x - 6226. Let r be o(111). Sort -2, -5, r, 7, 6.
r, -5, -2, 6, 7
Suppose -4 = -4*w - 12, 18 = -2*d + 3*w. Let h = -3443 + 3438. Sort 0.1, -1/7, d, h in decreasing order.
0.1, -1/7, h, d
Let p be ((-3)/10)/((-96)/(-80)). Let z = 21.024 + -21. Let f = -0.144 + z. Sort p, f, -4, -0.4 in decreasing order.
f, p, -0.4, -4
Let a(c) be the first derivative of -c**2/2 - 13*c + 8. Let k be a(-13). Suppose 0 = -5*p + 2 + 3. Put p, | {
"pile_set_name": "DM Mathematics"
} |
4277.8747 rounded to zero decimal places?
4278
What is 32203400 rounded to the nearest one hundred thousand?
32200000
Round -0.0002271427 to five decimal places.
-0.00023
What is 0.00943463 rounded to 4 decimal places?
0.0094
What is 0.217803 rounded to 3 decimal places?
0.218
Round -31372.38 to the nearest ten.
-31370
What is 0.0003272916 rounded to 6 decimal places?
0.000327
Round -254.16761 to 1 decimal place.
-254.2
Round 34.7493 to the nearest integer.
35
What is -442.64135 rounded to one dp?
-442.6
Round -588399.9 to the nearest 100000.
-600000
What is 0.000722626 rounded to 3 dps?
0.001
What is 0.00001381799 rounded to 6 dps?
0.000014
Round -0.4765521 to two dps.
-0.48
What is 0.005357337 rounded to 5 dps?
0.00536
Round -4158789000 to the nearest 1000000.
-4159000000
What is 2320 rounded to the nearest ten thousand?
0
Round -4043774.6 to the nearest one hundred thousand.
-4000000
Round 0.000053366 to six dps.
0.000053
Round -12835.07 to the nearest ten thousand.
-10000
Round 0.040017823 to five dps.
0.04002
Round -0.00000045268 to 7 decimal places.
-0.0000005
What is 0.000187993 rounded to 4 decimal places?
0.0002
What is 0.000438257 rounded to five dps?
0.00044
What is 26695.76 rounded to the nearest 100?
26700
Round 39.724 to the nearest ten.
40
Round 198972.8 to the nearest 10000.
200000
What is -114.364 rounded to 0 dps?
-114
What is -0.0001583633 rounded to 6 decimal places?
-0.000158
Round 994.137 to the nearest one hundred.
1000
Round 6.513094 to one decimal place.
6.5
Round 298900 to the nearest one hundred thousand.
300000
Round -3869.56 to the nearest ten.
-3870
Round 10.55237 to 0 decimal places.
11
What is 14066.905 rounded to the nearest ten thousand?
10000
What is 0.000133828 rounded to 5 dps?
0.00013
Round -0.0000752377 to six decimal places.
-0.000075
Round -6.08605 to 2 dps.
-6.09
Round 101301.67 to the nearest 1000.
101000
Round -1.00156 to 2 dps.
-1
What is 0.0001194451 rounded to four decimal places?
0.0001
What is -127.68298 rounded to 2 decimal places?
-127.68
What is 0.0553464 rounded to three dps?
0.055
Round 0.0284106 to three decimal places.
0.028
Round 0.00051737801 to 5 dps.
0.00052
Round -0.008878535 to four decimal places.
-0.0089
What is 503014.4 rounded to the nearest one hundred?
503000
What is -11816.08 rounded to the nearest 100?
-11800
What is 9450300 rounded to the nearest one million?
9000000
What is -70566.9 rounded to the nearest 1000?
-71000
What is -0.00003885705 rounded to 5 decimal places?
-0.00004
What is -0.000059804553 rounded to six dps?
-0.00006
What is 0.000000371302 rounded to seven decimal places?
0.0000004
What is 54.38359 rounded to 1 decimal place?
54.4
What is -11165850 rounded to the nearest 1000?
-11166000
What is 686.31373 rounded to the nearest 100?
700
Round 0.0208274 to two dps.
0.02
Round -455.1798 to 1 decimal place.
-455.2
What is -0.05231334 rounded to 3 decimal places?
-0.052
Round 39820000 to the nearest one million.
40000000
What is -1.36811 rounded to 0 decimal places?
-1
Round 0.400051 to 3 dps.
0.4
What is 8428600 rounded to the nearest ten thousand?
8430000
Round -0.00016608593 to four dps.
-0.0002
Round 14093124000 to the nearest one million.
14093000000
What is 0.014180658 rounded to four decimal places?
0.0142
Round 0.01675581 to four dps.
0.0168
Round 68808500 to the nearest one million.
69000000
What is -0.000973016 rounded to four decimal places?
-0.001
Round 0.00001037553 to 5 dps.
0.00001
What is 0.13382396 rounded to four dps?
0.1338
What is -1973744 rounded to the nearest ten thousand?
-1970000
What is 0.0000038576218 rounded to 7 dps?
0.0000039
Round -4879.478 to the nearest one thousand.
-5000
Round -19276.399 to the nearest 100.
-19300
What is -0.001157354 rounded to five decimal places?
-0.00116
What is -0.6598613 rounded to 2 decimal places?
-0.66
Round -282.1439 to the nearest integer.
-282
What is 58100.68 rounded to the nearest 10000?
60000
What is -41490237 rounded to the nearest one million?
-41000000
Round -638.1552 to the nearest 10.
-640
Round 2933.1864 to the nearest 10.
2930
What is -108.5062 rounded to one dp?
-108.5
What is 20137960 rounded to the nearest one million?
20000000
What is -274.7838 rounded to one decimal place?
-274.8
What is -0.0000614085 rounded to 7 dps?
-0.0000614
Round 7396.194 to the nearest one hundred.
7400
What is -0.0000215281 rounded to 5 dps?
-0.00002
Round -151.72 to the nearest one hundred.
-200
What is -0.0000877884 rounded to five dps?
-0.00009
What is 2342125000 rounded to the nearest one million?
2342000000
Round 0.02413 to two decimal places.
0.02
What is -7838.61 rounded to the nearest 10?
-7840
Round 589.1277 to the nearest 100.
600
Round -3.1548 to the nearest integer.
-3
What is -0.0000370518 rounded to seven decimal places?
-0.0000371
Round 0.000030191806 to 6 dps.
0.00003
Round -0.00971 to 5 dps.
-0.00971
What is 0.00022797 rounded to seven dps?
0.000228
What is -47679870 rounded to the nearest one million?
-48000000
Round 0.00351966 to six decimal places.
0.00352
Round 371090.36 to the nearest 10000.
370000
Round 183414 to the nearest one thousand.
183000
What is -1019.3795 rounded to the nearest ten?
-1020
Round 21561379 to the nearest one million.
22000000
Round 6.67481 to the nearest 10.
10
What is -5208570.4 rounded to the nearest one hundred thousand?
-5200000
What is 68.6579 rounded to the nearest integer?
69
Round -8537.7 to the nearest 1000.
-9000
What is 782.9634 rounded to the nearest ten?
780
Round -3.043995 to 1 decimal place.
-3
Round -0.003812088 to 6 dps.
-0.003812
What is 859.0236 rounded to the nearest ten?
860
What is 421830 rounded to the nearest one million?
0
What is -272.881 rounded to the nearest ten?
-270
Round 0.0021016653 to 4 dps.
0.0021
Round 618942 to the nearest one hundred thousand.
600000
Round 0.004075421 to 3 decimal places.
0.004
Round -248895000 to the nearest one million.
-249000000
What is 3.03985 rounded to 1 dp?
3
What is -3531200 rounded to the nearest 100000?
-3500000
What is 4715930 rounded to the nearest 10000?
4720000
What is -814452300 rounded to the nearest 100000?
-814500000
What is 0.0001018341 rounded to 4 decimal places?
0.0001
What is -0.32066851 rounded to two dps?
-0.32
What is 7582367 rounded to the nearest one million?
8000000
What is 1531600400 rounded to the nearest one million?
1532000000
Round -585.91 to zero decimal places.
-586
Round 0.357255 to 3 dps.
0.357
What is 26044500 rounded to the nearest 1000000?
26000000
What is 0.007175989 rounded to four dps?
0.0072
What is 0.0028211141 rounded to 4 decimal places?
0.0028
What is 0.1505711 rounded to 2 decimal places?
0.15
Round -1.80976 to the nearest integer.
-2
Round -0.000029531 to 5 decimal places.
-0.00003
What is 51913700 rounded to the nearest 1000000?
52000000
What is 13202489 rounded to the nearest ten thousand?
13200000
Round 231.8815 to 1 decimal place.
231.9
Round -0.03575051 to 3 decimal places.
-0.036
Round 0.0009588373 to 6 dps.
0.000959
Round -16726.009 to the nearest one thousand.
-17000
What is -50816900 rounded to the nearest one hundred thousand?
-50800000
What is 193.0208 rounded to the nearest 10?
190
What is 0.2706017 rounded to three decimal places?
0.271
Round 0.000058477115 to 5 decimal places.
0.00006
What is 23542050 rounded to the nearest 10000?
23540000
Round -11257.099 to the nearest one thousand.
-11000
What is 5.02161 rounded to one decimal place?
5
What is -0.1640704 rounded to 1 decimal place?
-0.2
What is 0.023295982 rounded to 4 decimal places?
0.0233
Round 0.01359662 to 4 decimal places.
0.0136
Round -0.0054344322 to four decimal places.
-0.0054
Round 153.097 to the nearest ten.
150
What is 3854.151 rounded to the nearest integer?
3854
What is -112.4298 rounded to 1 dp?
-112.4
Round -18932.2 to the nearest one thousand.
-19000
What is -637222.84 rounded to the nearest 100000?
-600000
Round 0.00071164 to five dps.
0.00071
Round 37.77588 to one decimal place.
37.8
What is -212122 rounded to the nearest one hundred?
-212100
Round -9446.574 to the nearest 1000.
-9000
What is -745.4198 rounded to the nearest one hundred?
-700
Round 0.002020586 to 5 decimal places.
0.00202
What is -369.8814 rounded to the nearest integer?
-370
Round -20403.67 to the neare | {
"pile_set_name": "DM Mathematics"
} |
7*r + 9. Let k(l) = -10*l + 15. Let c(t) = -3*k(t) + 5*m(t). Calculate c(u(a)).
-30*a**2 - 15
Let h(n) = n**2. Let x(f) = 398*f**2 + 2*f. Let a(m) = -3978*m**2 - 21*m. Let r(j) = -2*a(j) - 21*x(j). What is h(r(i))?
161604*i**4
Let f(h) = -h. Let g(s) = -s**2 + s + 10. Let i be g(0). Let n = i + -10. Let t(k) = 21 - 2*k - 21 + n*k. Calculate t(f(q)).
2*q
Let z(q) be the first derivative of -33 - 9/2*q**2 + 0*q. Let i(t) = -6*t. Determine i(z(p)).
54*p
Let f(b) = 232*b**2. Let p(y) = 68*y**2. Give p(f(n)).
3660032*n**4
Let b(a) = -7*a**2. Let x(j) be the second derivative of -j**5/60 - 2*j**3/3 + 22*j. Let v(n) be the second derivative of x(n). Calculate v(b(g)).
14*g**2
Let m(o) = 4*o**2 - 5. Let s(y) = -10*y**2 + 12. Let c(k) = -12*m(k) - 5*s(k). Let n = 16 + -14. Let f(t) = -11*t**2 + 7*t**n + 5*t**2. What is f(c(x))?
4*x**4
Suppose -4*v + 20 = -3*p, -4*v = -v + 3*p + 6. Let t(d) = 10*d**v - 303*d + 303*d. Let z(u) = -2*u**2. Calculate z(t(x)).
-200*x**4
Let i(o) = -1484369*o. Let q(w) = -w. Give q(i(t)).
1484369*t
Let l(w) = 2*w - 205. Let p(d) = -309*d. Calculate p(l(m)).
-618*m + 63345
Let i(j) = j - 2. Let p(z) = -8*z + 14. Let c(n) = -21*i(n) - 3*p(n). Let l(u) = -48*u**2. Give l(c(r)).
-432*r**2
Let b(y) = -61*y. Let i(q) = 615*q**2. Calculate b(i(r)).
-37515*r**2
Let f(j) = -6*j**2 + 9*j**2 + 3*j**2. Let o(h) = -4*h**2. Determine f(o(c)).
96*c**4
Let f(p) be the third derivative of -3*p**2 + 1/60*p**5 + 0*p**4 + 0*p + 0 + 0*p**3. Let x(t) = -171*t + 347*t - 169*t. What is x(f(r))?
7*r**2
Let q(x) = -10*x**2. Suppose -2*z - 33 = 5*a - 8, 15 = -2*z - 3*a. Let s(t) = 2*t + z*t + 3*t - 3*t. Give s(q(c)).
-20*c**2
Let o(v) = 2*v. Let s(c) = 9*c + 148*c**2 - 9*c - 65*c**2 - 424*c**2. Determine o(s(g)).
-682*g**2
Let o(q) = 37*q + 2*q**2 - 37*q. Let l(u) = -5*u - 8. Let c be l(-2). Let v(h) = -51*h**2 + 25*h**2 + 25*h**c. Calculate v(o(t)).
-4*t**4
Suppose -1 = 3*b - 5*r + 10, 4*r - 16 = 0. Suppose 64 = 5*i + 19. Let o(c) = 8*c + b*c - i*c. Let f(g) = 9*g. Calculate o(f(w)).
18*w
Let b(p) = -3*p. Let j(x) = 10*x - 11. Let a(n) = -11*n + 14. Let h(s) = -5*a(s) - 6*j(s). Calculate h(b(y)).
15*y - 4
Let h(z) = z. Let q(b) = -2*b. Let o(d) = 6*h(d) + 6*q(d). Suppose 4*a = 8, 6*l - 1855 = 5*l + 4*a. Let g(x) = -2*x**2 + 1863*x - l*x. Determine o(g(v)).
12*v**2
Let k(j) = 7*j**2. Let r = -5 + 11. Suppose 6 = -2*n + 3*h, 4*n + 6*h - 3*h = r. Let o(v) = n*v - v + 0*v + 0*v. Determine k(o(a)).
7*a**2
Let u(z) = 143*z - 10*z**2 - 143*z - 11*z**2. Let o(c) be the first derivative of -c**2/2 - 53. Calculate o(u(g)).
21*g**2
Let f(s) be the second derivative of 0 - 49/2*s**2 - 31*s - 1/3*s**3. Let t(p) = -p**2. Give f(t(u)).
2*u**2 - 49
Let p(f) = -266*f**2 - 2*f. Let u(g) = -31*g. Determine u(p(r)).
8246*r**2 + 62*r
Suppose 0 = -5*a - f + 8, 5*a - 11 = 4*f + 7. Let l(h) be the first derivative of -3*h**a + 2 + h**2 + h**2. Let g(n) = -n**2. What is g(l(s))?
-4*s**2
Let x(s) = 63*s**2. Let h(p) = 108*p + 108*p - 322*p + 3*p**2 + 106*p. What is x(h(i))?
567*i**4
Let a(y) = -2*y + 395. Let l(i) = 240*i**2. Calculate l(a(o)).
960*o**2 - 379200*o + 37446000
Let s(n) = 2*n**2 + 48757*n. Let d(r) = 5*r. Calculate s(d(q)).
50*q**2 + 243785*q
Let r(y) = -16*y**2. Let w(f) = -f + 619. Give r(w(c)).
-16*c**2 + 19808*c - 6130576
Suppose -11*a + 125631 = -2*a. Let b(m) = -2*m + 13959 - a. Let v(s) = 8*s. Calculate b(v(h)).
-16*h
Let a(r) = 4*r + 5. Let k(j) = -41*j - 1. What is k(a(o))?
-164*o - 206
Let u(k) = 355*k. Let r(m) = -2*m**2. Determine u(r(s)).
-710*s**2
Let h(c) = 5*c**2 + 46*c - 5. Let w(t) = -2*t**2 - 22*t + 3. Let k(f) = -3*h(f) - 5*w(f). Let q(g) = 2*g**2. Determine q(k(x)).
50*x**4 + 560*x**3 + 1568*x**2
Let c(v) = 89*v. Let a(w) = 1295*w. What is a(c(f))?
115255*f
Let x(z) = z. Suppose -d - 1 = -12. Let i(u) = 42 - d*u - 16*u + 29*u. Determine i(x(c)).
2*c + 42
Let j(w) = -716572*w. Let l(o) = 2*o**2. Calculate l(j(g)).
1026950862368*g**2
Let v(s) = -10*s**2. Let c be (-11)/(-2)*(-7 - -13). Let n = 35 - c. Let y(i) = n*i + i + i - 3*i. Calculate y(v(f)).
-10*f**2
Let n(s) = -3*s - 2. Let g(b) be the second derivative of b**4/12 + 2*b + 84. What is n(g(h))?
-3*h**2 - 2
Let g(d) = -7*d. Let x(b) = 1. Let i(c) be the first derivative of c**2/2 - 5*c - 14. Let o(l) = 3*i(l) + 15*x(l). Determine o(g(u)).
-21*u
Let b(k) = k**2. Let s(r) be the first derivative of -495*r**2/2 - 90. Determine b(s(v)).
245025*v**2
Let w(l) = -9*l. Let n(c) = 4*c. Let i(q) = -5*n(q) - 2*w(q). Let z(u) = 6*u**2 + 63*u - 7. Let a(j) = j**2 + 9*j - 1. Let d(h) = -7*a(h) + z(h). Give d(i(g)).
-4*g**2
Let k(i) = -329*i**2 + 2*i. Let u(h) = -16*h**2. Give k(u(s)).
-84224*s**4 - 32*s**2
Let x(q) be the third derivative of 0*q**3 + 0 - 1/30*q**5 - 6*q**2 + 0*q**4 + 0*q. Let m(k) = -4*k**2 + 43 - 43. Give m(x(a)).
-16*a**4
Let h(l) = 2*l**2. Let s(k) = 2*k**2. Let d(u) = 4*h(u) - 5*s(u). Let w(m) = 28*m + 25*m - 56*m. Determine d(w(q)).
-18*q**2
Let h(o) = 16*o + 4. Let p(n) = 17*n**2 - 2*n + 116. What is h(p(a))?
272*a**2 - 32*a + 1860
Let d(q) = 3*q - 13. Let v be d(5). Let a(z) = 16*z**v + 0*z + 0*z - 13*z**2. Let k(w) = w**2. Calculate a(k(u)).
3*u**4
Let y(k) = -11*k**2. Let s(u) = 133*u**2 + 36. What is s(y(t))?
16093*t**4 + 36
Let y(l) = -4*l - 2. Let j = -48 - -79. Let a(p) = p - 15 + j - 16. Calculate a(y(m)).
-4*m - 2
Let d(y) = 6*y**2. Let z(c) be the second derivative of 0 + 0*c**2 + 0*c**3 + 18*c - 2/3*c**4. Give z(d(f)).
-288*f**4
Let i(n) = -64*n**2. Let p(v) = -2308*v**2 + 2. Calculate p(i(d)).
-9453568*d**4 + 2
Let b(f) = 2*f**2. Let m(u) be the second derivative of 5*u + 1/6*u**3 + 0*u**2 + 0. Calculate b(m(p)).
2*p**2
Let h(i) = -i. Let b(m) = 580*m**2 - 781*m**2 + 436*m**2. Determine b(h(u)).
235*u**2
Let b(g) = 2*g. Let v(f) be the second derivative of 0 - 1/12*f**4 + 0*f**3 + 29*f + 0*f**2. Calculate b(v(h)).
-2*h**2
Let l(j) be the second derivative of 2*j**3/3 + 7*j. Let b(g) be the third derivative of 0*g**4 + 0*g + 0 - 1/60*g**5 + 0*g**3 + 5*g**2. Give l(b(q)).
-4*q**2
Let h(c) be the second derivative of 0*c**2 - 3*c - 2/3*c**3 + 0. Let g(s) = 2*s**2 - 4*s**2 - 3*s**2. Determine g(h(f)).
-80*f**2
Let m(o) = 13*o**2 + 16*o**2 - 27*o**2. Let h(k) = 51*k**2. Give h(m(w)).
204*w**4
Let o(z) = -3*z**2. Let p(b) = 4*b + 218. What is o(p(c))?
-48*c**2 - 5232*c - 142572
Let g(z) = 2*z**2 - 3*z - 3. Let x(d) = d**2 - 2*d - 2. Let t(o) = 2*g(o) - 3*x(o). Let m(w) be the first derivative of -5*w**3 + 93. Calculate t(m(r)).
225*r**4
Let y(b) = 4*b. Let z = 183 + -181. Let q(g) be the second derivative of -2/3*g**3 + 0*g**z + 0 + g. Calculate y(q(w)).
-16*w
Let n(f) = f - 2*f**2 - f. Let p(y) be the third derivative of -y**4/12 + 2*y**3 + 2813*y**2. Determine p(n(l)).
4*l**2 + 12
Let t(z) = -2*z. Let h(o) = 2*o - 1. Let y(s) = s**2 + 190*s - 5. Let d(i) = 5*h(i) - y(i). Calculate d(t(l)).
-4*l**2 + 360*l
Let n(z) = -12 - 8 - 10*z + 30 - 9. Let l(j) = -j. Determine n(l(f)).
10*f + 1
Let f(a) = 727*a. Let p(o) = -4*o**2 - 1. Calculate p(f(w)).
-2114116*w**2 - 1
Let j(r) = -r. Let b(h) = h**2 + 6*h + 5. Let n be b(-5). Let s(f) = -16*f**2 + n + 0 + 23*f**2. What is j(s(o))?
-7*o**2
Let t(h) = h. Let j(z) = -z**2 - z. Let d(q) = 7*q**2 + 14*q**2 + q - 6*q**2 + 19*q. Let r(a) = -d(a) - 20*j(a). Give t(r(w)).
5*w**2
Let c = -11 + 13. Let w(t) = 8*t**2 + 5*t**2 - 18*t**c + 7*t**2. Let h(u) = 11*u. What is h(w(r))?
22*r**2
Let z(g) = -5*g. Let k(d) = -15065*d. Calculate z(k(s)).
75325*s
Let i(q) = -16*q**2 + 4*q**2 - 12*q**2. Let f(s) = -s**2 + 2*s - 4. Let v(u) = -u + 3*u**2 - 2*u**2 - 105 + 107. Let c(h) = -f(h) - 2*v(h). Give i(c(j)).
-24*j**4
Let l(o) = -20*o + 3*o - 28*o. Let m(n) = -4*n. Let h(t) = 5*l(t) - 54*m(t). Let q(j) = 2*j**2. Determine q(h(c)).
162*c**2
Let u(w) = 13*w**2. Let g(z) = 1270*z. What is u(g(n))?
20967700*n**2
Let k = -12 + 14. Let o(b) = 7*b**k + 2*b**2 - 12*b**2 + 4*b**2. Let y(x) = 2 - 2 - 4*x + 6*x. Determine y(o(c)).
2*c**2
Let p(j) = -5*j**2. Let u(q) = -555*q - 37. Let w(f) = -46*f - 3. Let o(r) = -3*u(r) + 37*w(r). What is p(o(d))?
-6845*d**2
Let x(t) = 39*t. Let c(k) = -5*k + 8. Let a(b) = -2*b + 2. Let w(y) = 4*a(y) - c(y). Give x(w(z)).
-117*z
Let w be (-25)/(-10) + (-2 - 3/(-2)). Let p(z) = 7*z**2 + 15*z**2 - 59*z**2 + 17*z**w. Let o(j | {
"pile_set_name": "DM Mathematics"
} |
1
Let d(s) = -s**3 - 9*s**2 - 17*s - 9. What is the tens digit of d(-8)?
6
Let h = 19 - -25. What is the units digit of h?
4
Let f(r) = r**2 + 4*r - 5. Let u be f(-6). Let c(n) = -n**3 + 7*n**2 + 3*n - 10. What is the units digit of c(u)?
1
Suppose 2*x - 5 = -13, -10 = -2*w + x. What is the units digit of w/(-1) + 0 - -36?
3
Let s(h) = -h + 13. Let v be s(-7). Suppose -b = -p + 2*p, 4*p = -v. What is the units digit of b?
5
Let p = -110 + 241. What is the tens digit of p?
3
Let s = 10 - 4. Let i = -5 + s. What is the units digit of 1 + 0*i/3?
1
Let p(w) = 2*w + 1. Let v be p(1). Let g be v/(-6) + (-6)/4. What is the units digit of 188/36 + g/9?
5
What is the units digit of 8/(-10) - 2295/(-25)?
1
Let y be (-4)/(-12)*(6 - 0). Suppose 5*h - 2*t - 50 = 0, -4*h + t = -y*t - 47. What is the units digit of h?
8
Suppose 5*y = 5 - 25. Let a = y - -13. What is the units digit of a?
9
Suppose 6*c = c. Suppose -2*q + 22 + 6 = c. What is the units digit of q?
4
Let p be 14/4*16/14. Suppose 5*q - 2*q - 63 = -3*t, -59 = -3*t - 2*q. Suppose -3*x = -p*x + t. What is the units digit of x?
7
Let d = 5 - 2. Suppose -10 = 4*j + 4*n - 34, -4*n + 10 = -d*j. What is the units digit of j?
2
Let j(a) = -3*a + 7. What is the units digit of j(-11)?
0
Suppose -4*y = -12, -3*j - 1 = y - 16. Suppose -j*p + 4*m + 76 = 0, -3*m - 4 - 2 = 0. What is the tens digit of p?
1
Suppose -2*r = -7*r. Suppose r = -4*d - 0*d + 8. Let w = 9 - d. What is the units digit of w?
7
Suppose -93 - 20 = -q. What is the hundreds digit of q?
1
Suppose 0*g = -g. Suppose 3*m = -q - 15, -3*q = 5*m - g*q + 21. Let i(p) = p + 9. What is the units digit of i(m)?
3
Let v be ((-16)/(-20))/((-2)/(-10)). Let t = 7 - v. Suppose -t*n - 34 + 94 = 0. What is the tens digit of n?
2
Let v = 59 - 95. Let m be (1 - 0)/((-4)/v). Suppose -5*o = m - 29. What is the units digit of o?
4
Let o(f) = -f**2 + 9*f + 5. Let u be ((-18)/(-15))/(4/(-40)). Let g = -5 - u. What is the units digit of o(g)?
9
Let g = -5 - -7. Let s(o) = -o**2 + 4*o - 1. Let n be s(g). Suppose -2*v = -4*w, v + 9 = n*w + 2*w. What is the units digit of v?
6
Let v = 15 + -13. Suppose d = 2*d - 5, v*t + 5*d = 65. What is the tens digit of t?
2
Let n be -12*(-5)/30*2. Let a = 7 + -4. Suppose -2*t - 3*x - 13 = -31, -n*t + 72 = -a*x. What is the units digit of t?
5
Suppose -8 - 19 = -3*b + 4*u, 5*u - 10 = -5*b. Suppose 3*z = -b*a + 5*z + 56, -5*z + 5 = 2*a. What is the tens digit of a?
1
What is the units digit of 89 - (-1)/(-5)*5?
8
Suppose 5*g - 3*f - 61 = 0, -g - 3*f - 5 = -2*g. What is the units digit of g?
4
Let w = -15 + 31. Suppose 2*d - w = -2. What is the units digit of d?
7
Let g(o) = 13*o - 1. Let q be g(-6). What is the units digit of q/(-5) + (-24)/30?
5
Let r(t) = t**3 + 4*t**2 + 2*t + 2. Let h be r(-3). Suppose -h*b + 6 = -24. What is the units digit of b?
6
Let l be -6*3/(-9)*-139. Let s be l/(-3) + 12/(-18). Suppose 29 - s = -3*d. What is the units digit of d?
1
Let u = -29 + 25. Suppose 2*f - 8 = 2*v, -4*v - 15 = -8*f + 3*f. Let k = u - v. What is the units digit of k?
1
Suppose 75 = l - 4*x, -5*l - 2*x = -0*x - 353. What is the tens digit of l?
7
Suppose -4*t = -2*d - 6, -4*d = -5*t - 0*d + 6. Suppose -t*w - 114 = -4*w. Suppose w + 33 = 5*v. What is the units digit of v?
8
Let r be (50/4)/((-3)/6). Let z = r - -36. What is the units digit of z?
1
Let i(b) = 3*b + 31. What is the tens digit of i(0)?
3
Suppose -z = -5*y - 46, z + 4*y = 57 + 25. What is the tens digit of z?
6
Let n(i) = -27*i**2 - i - 2. Let c be n(-1). Suppose 4*g + 3*p - 1 = 4*p, -4*p + 7 = -5*g. What is the units digit of c/(-21)*g*3?
4
Let t(c) = 6*c**2 + 6*c + 9. What is the tens digit of t(8)?
4
What is the tens digit of (12/(-1))/((-14)/56)?
4
What is the tens digit of ((-2)/(-6)*3)/(7/553)?
7
Let f be 48/(-20) - (-6)/15. What is the units digit of (-6)/f + -7 - -7?
3
Suppose 0*z + 2*z = 8. Suppose 8 = t + z. Suppose -t = -w + 2. What is the units digit of w?
6
Let k(s) = -s**3 + 9*s**2 + 1. Let n be 1/(-3) - (-28)/3. Let a be k(n). What is the units digit of 12 - -1*(a + -3)?
0
Let k = -218 - -310. What is the tens digit of k?
9
Suppose 2*g - 4*h + 10 = -2*h, -2 = -2*h. Let v = g + 8. What is the units digit of v?
4
Let u = -1 + 4. Suppose 2*c = 5*c - u. What is the units digit of c?
1
Let c(d) = d - 10. Let q be c(8). Suppose -2*y - 3*y - 210 = 0. What is the units digit of y/(-9) + q/3?
4
Suppose 11*o = 3*o + 616. What is the tens digit of o?
7
Let d(a) = 14*a + 2. Let v be d(3). Let q = v - 28. Let p = q + -10. What is the units digit of p?
6
Let g(w) = -2*w**2 - 5*w + 4. Let q(v) = 3*v**2 + 6*v - 5. Let t(k) = 5*g(k) + 4*q(k). What is the units digit of t(-2)?
0
Suppose -9*s - 104 = -959. What is the tens digit of s?
9
Suppose 0*a + 4*a - 152 = 0. Suppose l - 5*k = 27, 5*k - 15 + a = -l. What is the units digit of -5*2*l/(-5)?
4
What is the hundreds digit of 1/(4 + 2103/(-263) + 4)?
2
Suppose -4 = 4*h, 3*n + 4*h = 5*n + 64. Let l = n - -24. What is the units digit of -3*(l/6 + 1)?
2
Let b be 10 - 10 - 24/(-2). Suppose -5*f = -2*f + b, -n - f = -7. What is the units digit of n?
1
Suppose -4*f + 199 = 7. What is the tens digit of f?
4
Let i(w) = -w**2 + 7*w - 7. Let n(t) = t**2 - 2. Let v be n(2). Suppose 31 = 7*o - v*o - 2*x, -o + 3*x = -14. What is the units digit of i(o)?
3
Suppose 2*t + 60 = -4*c, -2*c + 5*t + 0*t - 30 = 0. What is the tens digit of (-78)/4*10/c?
1
Let k = 10 + -8. Suppose 4*l = 38 + k. What is the tens digit of l?
1
Suppose -10*f = f - 418. What is the units digit of f?
8
Let t(k) be the third derivative of k**4/24 + 4*k**3/3 + k**2. Let a be t(-6). What is the units digit of (-8)/4*(-6 + a)?
8
Suppose -6*l + 11*l = 75. Suppose 5*a = 3*d + 25, 5*d - 4*d - 20 = -4*a. Suppose -3*t = -d*t - l. What is the units digit of t?
5
Let c(m) = -5*m - 3. What is the units digit of c(-3)?
2
Suppose -2*p + 82 = 3*b - b, 0 = -5*p + 15. What is the tens digit of b?
3
Let h = -48 + 94. Let u = h - 32. Suppose -2*z - u = -2*g, -5*g - 2*z + 38 = -6*z. What is the units digit of g?
0
Let c(k) = -4*k - 8. Let d(l) = 2*l + 6. Let y(r) = r + 1. Let p(i) = d(i) + y(i). Let h(u) = 4*c(u) + 5*p(u). What is the units digit of h(-6)?
9
Let t be (-3)/((-1)/((-37)/(-3))). Let x = t + -20. What is the units digit of x?
7
Suppose -3*k = 0, -t + 3*k - 36 = -4*t. Let r(m) = m + 1. Let d be r(t). Suppose -14 = -5*x - y, 0*y + d = 3*x - 4*y. What is the units digit of x?
3
Suppose -44 = -4*n + 180. What is the tens digit of n?
5
Suppose 148 = 5*q - q. What is the units digit of q?
7
Let r = -28 + 39. Let s(q) = -q**2 + 17*q + 4. Let k(o) = -o**2 + 18*o + 5. Let b(n) = -5*k(n) + 6*s(n). What is the units digit of b(r)?
0
Let x(u) = 1 + 2*u + 4 + u. Let z be x(5). Suppose h = -0*v - 4*v + z, -16 = -4*h. What is the units digit of v?
4
Let q = -26 - -18. Let u(a) = a + 19. What is the tens digit of u(q)?
1
Let d(a) = -15*a**2 - 5*a + 6. Let b(y) = -16*y**2 - 6*y + 7. Let t(l) = 5*b(l) - 6*d(l). What is the units digit of t(-1)?
9
Let d(h) = -h**2 + 10*h - 12. Let r(z) = z. Let a(b) = -d(b) + r(b). What is the tens digit of a(9)?
1
Let o = -2 + 7. Suppose -3*v = 3*k - 45, -o*v + 2*k = -34 - 27. What is the units digit of v?
3
Suppose 5*j = 2*c + 39 + 1, 2*j - 16 = 3*c. Let l = 12 - j. Suppose -l*n + 0*n + 64 = 0. What is the tens digit of n?
1
What is the tens digit of 14/(-35) - (-2104)/10?
1
Let d = 1 - -37. Suppose -3*n + o + 59 = 0, -2*n = -0*n - o - d. What is the units digit of n?
1
Suppose q = -2*q + 15. Suppose -q*r + 3*v + 5 = 2, -r + 3 = -3*v. Suppose 2*s - s - 1 = r. What is the units digit of s?
1
Suppose -5*p = g - 19, -3*p - 2*g + 10 = -0*p. What is the units digit of (p/(-6))/(1/(-18))?
2
Let r(p) = 8*p**2 + 2*p - 1. Let h be r(1). Suppose -4*z + 7 = -h. What is the units digit of z?
4
Let q = -45 - -77. Let s = q + -7. What is the units digit of s?
5
Suppose 2*i - b - 2 = 0, -i + 3*b = -b + 13. Suppose -o - 1 = 4*c - 3, 4*c - i*o + 6 = 0. Suppose c = 4*y - 7*y + 21. What is the units digit of y?
7
Let a(x) = 2*x**2 + 8*x + 7. Let k be a(-5). Suppose 3*s + 5*y - 89 = -k, -96 = -4*s - 5*y. What is the units digit of s?
4
Suppose 0 = 18*y - 5*y - 390. What is the tens digit of y?
3
What is the hundreds digit of 6 + 292 - (-2 + -1 + 2)?
2
Suppose 0 - 1 = -w. What | {
"pile_set_name": "DM Mathematics"
} |
mp?
5/39
What is prob of picking 1 x, 1 h, and 2 z when four letters picked without replacement from ezzhpfx?
1/35
Three letters picked without replacement from gkxxhkkdkllklkklhdkl. What is prob of picking 1 l, 1 h, and 1 k?
4/57
Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, d: 1, r: 2}.
1/10
What is prob of picking 2 e when two letters picked without replacement from pepepppeep?
2/15
Calculate prob of picking 1 f, 1 n, 1 p, and 1 r when four letters picked without replacement from {n: 1, w: 1, i: 1, f: 1, p: 2, r: 1}.
2/35
Four letters picked without replacement from djjddrjjrrd. What is prob of picking 1 d and 3 r?
2/165
Four letters picked without replacement from {v: 4, h: 4, m: 1, c: 2, a: 6}. What is prob of picking 2 v and 2 h?
9/595
Four letters picked without replacement from vkvvcvvpcvkpcvp. What is prob of picking 3 v and 1 c?
1/13
Two letters picked without replacement from ddjdjjdjjdaa. Give prob of picking 2 d.
5/33
Three letters picked without replacement from zmisizszzsgziz. Give prob of picking 1 s, 1 z, and 1 m.
9/182
Calculate prob of picking 2 w when two letters picked without replacement from {w: 5, s: 3}.
5/14
Calculate prob of picking 2 r when two letters picked without replacement from rrrrxrhxrxrhrxrxrxr.
55/171
Two letters picked without replacement from zuppzpppuzpkpkp. Give prob of picking 1 u and 1 k.
4/105
What is prob of picking 4 f when four letters picked without replacement from {f: 15, i: 3}?
91/204
What is prob of picking 2 v when two letters picked without replacement from {s: 9, v: 5}?
10/91
What is prob of picking 2 y when two letters picked without replacement from {t: 2, y: 9}?
36/55
What is prob of picking 2 l and 1 f when three letters picked without replacement from ffllff?
1/5
Three letters picked without replacement from {g: 2, z: 1, b: 1, p: 2, s: 1}. Give prob of picking 1 b, 1 g, and 1 z.
2/35
Three letters picked without replacement from {w: 16, m: 4}. Give prob of picking 3 m.
1/285
Four letters picked without replacement from rgguuh. Give prob of picking 1 u, 2 g, and 1 h.
2/15
Calculate prob of picking 4 t when four letters picked without replacement from uwbtltllllttbul.
1/1365
Two letters picked without replacement from loypklyylyyy. Give prob of picking 2 l.
1/22
What is prob of picking 3 p when three letters picked without replacement from {y: 4, p: 12, v: 2, o: 2}?
11/57
What is prob of picking 1 l and 2 f when three letters picked without replacement from algaaiffaaf?
1/55
Three letters picked without replacement from ggkmgkk. What is prob of picking 2 g and 1 m?
3/35
Three letters picked without replacement from ccjssccctcmt. What is prob of picking 1 c, 1 t, and 1 s?
6/55
Calculate prob of picking 2 i when two letters picked without replacement from {o: 5, i: 7}.
7/22
What is prob of picking 1 c, 1 i, and 2 n when four letters picked without replacement from {n: 2, e: 4, i: 7, k: 4, c: 1}?
7/3060
Four letters picked without replacement from {j: 9, a: 7}. What is prob of picking 3 j and 1 a?
21/65
Four letters picked without replacement from kweskkgkggkbewkke. What is prob of picking 1 w, 2 e, and 1 g?
9/1190
Two letters picked without replacement from fcffffffffffcfc. What is prob of picking 2 f?
22/35
Two letters picked without replacement from {e: 7, d: 4}. What is prob of picking 1 e and 1 d?
28/55
Four letters picked without replacement from {b: 15, l: 5}. What is prob of picking 1 b and 3 l?
10/323
Three letters picked without replacement from {v: 10, d: 1, w: 1, n: 5}. What is prob of picking 1 n, 1 d, and 1 w?
1/136
Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {l: 5, m: 2, q: 5, g: 1, u: 3}.
1/12
Three letters picked without replacement from aaddadaaagaaapd. What is prob of picking 2 a and 1 p?
36/455
What is prob of picking 2 g and 2 y when four letters picked without replacement from ygggyggyggyygygyygy?
135/323
Three letters picked without replacement from {z: 1, j: 2, v: 2, u: 2, x: 1, p: 7}. Give prob of picking 1 p, 1 j, and 1 x.
2/65
What is prob of picking 2 s when two letters picked without replacement from {p: 2, s: 5}?
10/21
Calculate prob of picking 2 w when two letters picked without replacement from wwwwlwulo.
5/18
Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {n: 12, r: 3, p: 2, b: 2, l: 1}.
2/95
Calculate prob of picking 1 y and 1 b when two letters picked without replacement from efbbhxfxbybx.
2/33
Calculate prob of picking 1 h, 1 t, 1 g, and 1 a when four letters picked without replacement from {g: 1, a: 1, h: 2, t: 1}.
2/5
Calculate prob of picking 1 t, 1 f, and 1 k when three letters picked without replacement from {v: 4, f: 3, t: 1, q: 7, k: 4}.
4/323
Four letters picked without replacement from {k: 5, h: 4, s: 3}. Give prob of picking 2 h, 1 k, and 1 s.
2/11
Three letters picked without replacement from xxxxxyxyxyxxyxxxxx. What is prob of picking 3 y?
1/204
What is prob of picking 1 t, 1 n, and 2 l when four letters picked without replacement from lnlwlnttlt?
6/35
Two letters picked without replacement from {w: 1, e: 1, j: 2, a: 4, y: 4, l: 6}. What is prob of picking 1 e and 1 j?
2/153
Two letters picked without replacement from {f: 9, n: 10}. What is prob of picking 2 f?
4/19
Two letters picked without replacement from {n: 12, d: 1, e: 4, a: 3}. Give prob of picking 1 e and 1 d.
2/95
What is prob of picking 1 x, 1 b, and 1 c when three letters picked without replacement from {z: 5, b: 6, c: 1, x: 4}?
3/70
Three letters picked without replacement from rrrrrprprpr. What is prob of picking 1 r and 2 p?
8/55
Three letters picked without replacement from {m: 3, q: 17}. What is prob of picking 2 m and 1 q?
17/380
Three letters picked without replacement from ckcgggcgccg. Give prob of picking 2 g and 1 c.
10/33
Calculate prob of picking 1 j, 1 z, and 1 t when three letters picked without replacement from tzjtjttttllljfjtztj.
80/969
Two letters picked without replacement from eyyyyleyyyl. Give prob of picking 1 l and 1 e.
4/55
What is prob of picking 1 g and 1 v when two letters picked without replacement from {q: 1, z: 4, g: 2, y: 3, v: 6}?
1/10
Calculate prob of picking 2 c when two letters picked without replacement from {v: 6, y: 2, c: 4}.
1/11
Three letters picked without replacement from vznwazvh. Give prob of picking 1 n, 1 h, and 1 z.
1/28
Two letters picked without replacement from dddddluulddd. Give prob of picking 1 d and 1 u.
8/33
Three letters picked without replacement from rqrrrrrqrqr. Give prob of picking 3 r.
56/165
What is prob of picking 1 u and 1 a when two letters picked without replacement from {a: 7, u: 2}?
7/18
Calculate prob of picking 2 o and 1 s when three letters picked without replacement from sfnsssnqqsfonso.
6/455
Three letters picked without replacement from pygyydgyppyg. What is prob of picking 1 y, 1 p, and 1 d?
3/44
What is prob of picking 1 q and 1 d when two letters picked without replacement from edqqq?
3/10
Two letters picked without replacement from innmjlnjivniml. Give prob of picking 1 j and 1 n.
8/91
What is prob of picking 2 j when two letters picked without replacement from {j: 4, y: 4, i: 8, v: 2, z: 1}?
2/57
Calculate prob of picking 2 t when two letters picked without replacement from {x: 3, t: 2, b: 1, d: 1}.
1/21
Four letters picked without replacement from syyysbbbybsyysbbyss. Give prob of picking 1 b, 1 y, and 2 s.
105/646
Three letters picked without replacement from {n: 1, q: 1, f: 3, r: 1, y: 1}. Give prob of picking 1 r, 1 f, and 1 q.
3/35
Two letters picked without replacement from {b: 2, n: 10, h: 3, i: 1}. What is prob of picking 2 h?
1/40
What is prob of picking 1 c and 1 a when two letters picked without replacement from jscsddka?
1/28
Three letters picked without replacement from {b: 1, j: 2, u: 1, t: 2, r: 2}. What is prob of picking 1 b, 1 u, and 1 j?
1/28
What is prob of picking 2 q and 1 r when three letters picked without replacement from {r: 2, q: 4}?
3/5
Calculate prob of picking 3 m when three letters picked without replacement from {m: 9, u: 3, e: 1, b: 1}.
3/13
Two letters picked without replacement from vwavamqmaa. Give prob of picking 1 q and 1 a.
4/45
Two lette | {
"pile_set_name": "DM Mathematics"
} |
m.
3
Let f(j) = j**3 + j**2 - 7*j - 3. Let a be f(-3). Solve a = m - b + 5, 2*m - b = -7 for m.
-2
Let h be 8/36 - (-34)/9. Solve 0 = -h*b + 3*g - 11, 2*g + 8 = -5*b - 0 for b.
-2
Suppose 2 + 10 = 6*c. Solve -3*u - 4*v + c = 0, 0*v - 4 = -u + 2*v for u.
2
Let v(m) = -2*m**2 - 17*m - 4. Let x be v(-8). Suppose -g = x*z + 5 + 10, 0 = 4*g - z - 25. Solve -g*q + p = -20, 3*q - 4*p = -q for q.
5
Let b = 3 + -3. Let s be (4/(-8) - -1)*4. Solve b = -s*n - 2*k - 0*k - 6, -5*k - 9 = 2*n for n.
-2
Suppose 4*l = t - 5, 3*t - 57 + 14 = -2*l. Let m = -8 + t. Solve -3 = q + 2*g + 5, m*q + 22 = -g for q.
-4
Let u(w) = -7*w + 52. Let r be u(7). Solve r*v + 32 - 11 = -3*c, -2*v - 16 = 3*c for v.
-5
Let i be 296/104 - 4/(-26). Let l(h) = 3*h**2 - h + 1. Let z be l(2). Solve -5*g + 15 = -2*t, -g - 3*t - i = z for g.
1
Let n = 21 - 11. Suppose n = 11*z - 9*z. Solve -4*m - 5*c + 31 = 0, z = 2*m - 5*c + 12 for m.
4
Suppose 2*s + 4 = w - 0, 9 = 4*w - s. Let z = 21 - 18. Suppose 4*n - w*v = -6*v + 28, -18 = -z*n - 2*v. Solve -3*b - 14 = -g, b + n*b = g - 24 for g.
-1
Suppose -2*m - 3*l = -9, -4*m - 4*l + 0*l = -16. Solve 2*a + 9 + 8 = -m*p, a + 1 = 0 for p.
-5
Let h be (-12)/16*2*-12. Suppose 0 = -4*k + h + 10. Solve x + 0*l = -3*l - k, 3*x = 4*l + 31 for x.
5
Let n be (0 + 0)/((-20)/(-10)). Solve -3*y + n*p = -4*p - 28, -p = 3*y - 8 for y.
4
Let l be (-94)/(-18) - 4/18. Suppose 2*q - z = 22, -2*z = 4*q - 5*z - 48. Let n be (-3)/q + (-10)/(-3). Solve -3*w - 20 + 2 = -n*a, -l*a + 23 = 2*w for w.
-1
Suppose -20 = -4*c, -3*m + 5*c = 8 + 5. Suppose 0 = -3*d + m*d - 2. Solve -d*g + u + 11 = 1, 5 = g + 2*u for g.
5
Suppose 0*j - 3*j - 5*f = -26, 5*j = -4*f + 39. Let y be (j/14)/((-2)/(-12)). Solve 36 = -y*w - w - 4*v, 0 = 4*w - v + 11 for w.
-4
Let f(n) = n**3 + 3*n**2 - 6*n - 3. Let j be f(-4). Suppose 0 = -4*m + 7 + 17. Solve -3*z + c = -0 - m, 0 = -j*c for z.
2
Let q be ((-8)/(-10))/(2/5). Solve 4*m = w + 14, 4 + q = -5*w + 4*m for w.
2
Let b be 10/4 + (-3)/(-6). Suppose -2*k + 0*k + 16 = 3*o, -18 = -5*o + k. Suppose -3*v + 1 = o*d, 0*d = 2*v + b*d. Solve 3*j + 9 = -3*t, -v*t + 1 = -4*t for j.
-2
Suppose -70 + 4 = -3*x. Solve -2*p - 4*q + x = 0, 4*p - 24 = p - 3*q for p.
5
Let k(u) = -u**2 + 14*u + 6. Let a be k(14). Let w = -4 - -7. Let n be 2*w*4/a. Solve n*h = 2*d - 3 - 1, d + 2*h + 6 = 0 for d.
-2
Suppose 1 - 11 = -2*p, -1 = 3*u - 2*p. Solve 3*l - u*v = 3, -5*l - 4*v - 8 = 5 for l.
-1
Let n = 41 + -26. Solve 15 = -3*b, 2*s - 3*b = -s + n for s.
0
Let w be 0*(-1 + (-2)/(-4)). Let m be (-454)/(-8) - (-3)/12. Suppose 5*k - m - 3 = 0. Solve k = 4*h + x, w = -h + 2*h + x - 6 for h.
2
Let j(g) = 19*g + 7. Let z be j(1). Let b be (-36)/(-10) + 2/5. Suppose -2*p + 4*p - b = 0. Solve p*t + z = 5*w + t, 0 = 5*w - 3*t - 28 for w.
5
Suppose l + 2*l = -s + 5, 4*l = 0. Let k(p) = -p**3 + 3*p**2 - 4*p + 2. Let h be k(1). Solve -x + b + 8 = h, -b = x - s*x + 17 for x.
3
Let d(y) = y + 2. Let g be d(2). Suppose g*s + 0*s + z = 81, 4*s = -4*z + 72. Solve a + 9 = 5*c, 4*c - s = 4*a - c for a.
-4
Let r(h) = -h + 3. Let s be r(9). Let a(q) = -3 + 1 + 10 + q. Let u be a(s). Solve -u*b + 3 = -4*i + b, 5*b = 5*i for i.
-3
Suppose -12 = -t + 2*l, 4*t - 8 = -2*l - 0*l. Solve 3*i + n - 6 = 6*n, 2*i = 4*n + t for i.
2
Suppose -3*g + 20 = g. Solve g*d - o - 23 = 0, -2*d + o - 2*o = -5 for d.
4
Let n(b) = 4*b - 16. Let r(q) = 9*q - 32. Let w(i) = -7*n(i) + 3*r(i). Let u be w(12). Solve -c - 4 = -5*x + x, 20 = 3*c + u*x for c.
4
Let v(t) = -7*t - 10. Let z be v(-3). Solve -z = -h - 2*g, -h + 3*g - 6*g + 14 = 0 for h.
5
Let r(q) = 4*q - 3. Let i be r(2). Suppose 15 + i = 5*w. Solve 2*v - 7*v = w*m + 29, 4*m + 9 = -v for v.
-5
Suppose -5*u + 3*f + 40 = 0, 0 = 3*f - 2*f. Suppose 8 = 4*d - u. Suppose 4*z = 16 + d. Solve 3*m + 9 = -p, -m - p + z = 2*p for m.
-4
Suppose n = -3*n + 14*n. Solve 3*y - 7*y - 3*i = -3, n = y + 2*i + 3 for y.
3
Suppose 0 = 4*h - 8, 5*y = -0*y - 4*h + 28. Suppose c - 2 = 2*k, 6 = y*c - k - 2. Suppose c*p = -p. Solve -3*i + p*l + 28 = 4*l, -4*i - 2*l + 24 = 0 for i.
4
Let j be 0/(-3 + 1 + 1). Suppose j*u + u - 2 = 0. Let g = u + -2. Solve g = -n - 5*k + 22, n - 3 + 1 = -k for n.
-3
Let s(r) be the third derivative of r**5/60 - r**4/6 - r**3/3 + 2*r**2. Let q be s(5). Solve 4*n - 8 = q*d + 2*n, 5*d - 5*n = -20 for d.
0
Let o = 68 + -66. Solve 4*y - 2*l = 5*y + 9, -2*l + 6 = -o*y for y.
-5
Let q be -2*(3 - (-20)/(-4)). Let n be q*(-6)/(-8) - 1. Solve 3*u = 3*d - 24, 0 = n*d - 2 - 6 for u.
-4
Suppose 0*h + 12 = 4*h. Solve h*u = -3*l - 30, 4*l - 6*u + 4*u = -10 for l.
-5
Suppose 4*f + m = 9, 3*m = -3*f - 0*m. Let l(s) = -4*s**2 + 0*s**3 + 3*s - 4*s**3 + 5*s**3. Let v be l(f). Solve -k + 2*c = 1, 0 = -v*k + 3*k + 2*c - 13 for k.
3
Let h = -9 - -13. Suppose -15 = -h*c + 93. Solve 0 = 5*o - 5*l + 2 + 8, 0 = -4*o - 3*l + c for o.
3
Let g be 3/5 - (-84)/35. Let j = 48 - 29. Solve x - 2*n + 5*n = j, n + 7 = g*x for x.
4
Let h be (3 + (-6)/(-2))*1. Solve 3*g - 20 = -4*a, -2*a + 2 + h = g for a.
2
Let c(x) = -11*x - 61. Let l be c(-6). Solve l*q - o = -4, -3*o - 9 = 5*q - 1 for q.
-1
Suppose -i = -3*w + 2*i, 4*i - 16 = -4*w. Suppose -2*m + w = -m. Let k = m + 0. Solve 4*a + 28 = -4*v, 1 = 3*v - a + k for v.
-2
Suppose 5*q + 5*a = 5, 1 = -3*q - 4*a - a. Suppose -q*u - 2*u + 25 = 0. Let j be u + (-2 + 3)*-3. Solve -2*l + j*w + 2 = 4*w, 2*w = -l + 5 for l.
-3
Suppose 2*k - 4 = -0*k + 3*c, k + 3*c - 11 = 0. Let u(v) = -v - 16. Let b be u(-16). Solve -k*t - 3*d + 34 = b, -3*d + 5*d - 21 = -3*t for t.
5
Let y(x) = -2*x + 14. Let u be y(7). Solve -n - d - 6 = u, -d - 3 = 2*n + 4 for n.
-1
Suppose 2*s - s = 4. Let f be 4/6 + (-37)/(-3). Solve u - 19 = s*y, -3*u + f = y - 2*y for y.
-4
Let h(p) = p**2. Let o be h(-2). Let n = o + -4. Solve n = -4*d - 5*m + 45, 0*d - 2*m + 35 = 5*d for d.
5
Let s be -2 - (-6 + 0/3). Suppose -5*x - 3 = 2*a + a, 17 = 5*a + x. Solve -s*m + 22 = 3*h, a*h + 4*m = 6*m for h.
2
Suppose l + 4*l - 35 = 0. Let f = -4 + l. Solve 3*c + 7 = -4*x, -10 = 4*c - f*x - 34 for c.
3
Let j(x) = -x + 9. Let q be j(7). Suppose -43 = r + 3*p, q*r + 28 = r + 2*p. Let s = 63 + r. Solve -6 = c - 3, 0 = 5*k + 3*c + s for k.
-4
Let a be 36/15 - (-14)/(-35). Solve -12 = 4*d + 4*o, -4*o + 2 = a*d + 10 for d.
-2
Let h = -5 - -18. Suppose 3*p = -2*r + h, 4*r - 28 = -3*p - p. Let q be (45/(-30))/(2/(-4)). Solve 5*j - r = -n + q, 4 = j + 2*n for j.
2
Suppose 2*y - 62 = -6*b + b, 0 = -2*b - y + 25. Solve -3*n = k + b, -2*k + 3*k - 23 = 4*n for n.
-5
Suppose -5*b = -b - 36. Suppose 2*p + p + b = 0. Let l = p + 5. Solve 0 = 5*y - 3*h - 21, l*y = 2*h - 3*h + 4 for y.
3
Let q(p) = 4*p**3 + p**2 - p. Let f be q(1). Solve -v - 3*k + 1 = 0, v - 4*k = f*v + 7 for v.
-5
Let i = 5 - 5. Suppose i*w = 4*w. Suppose w = -2*y - y. Solve -5*c = -5, 2*c + y*c + 7 = -3*t for t.
-3
Suppose 9*t + 25 = 4*t - 5*k, 2*t = -3*k - 9. Let z be ((-18)/(-15))/(t/(-15)). Solve -2*o - 2*r + 6 = 0, -z*r - 8 = -4*o - 5*r for o.
1
Let w = 1 + 9. Solve -5*i - b + 15 = 0, w - 1 = i - b for i.
4
Suppose 0 = -4*f - 0*f + 3*o + 5, 0 = 5*f - 2*o - 8. Let v be 7*1 + -3 + 3. Let w = v - f. Solve -2*l + w = z, 0*z - 5 = -l - z for l.
0
Suppose 4*s - 3 = 3*s. Let n be (6/24)/(2/16). Suppose n*z = -z. Solve z*w + 2*o = -4*w + 4, w - s*o + 6 = 0 for w.
0
Let u be -3*1/(-3)*-9. Let a = u - -32. Solve -3*r + 16 = -5*y, r - 4*y = 2*r + a for r.
-3
Let p = -6 + 4. Let a = p + 2. Solve -t - 3*v - 6 = 0, 5*t + 3*v - 6 = -a*v for t.
3
Suppose 3 + 3 = -3*y + 3*a, 0 = -y - a + 2. Solve v - 4*q + 8 - 1 = y, -4*q = -4*v - 16 for v.
-3
Let u be 12/(-18) + 2/3. Solve -2*c - x - 5 = u, c - 3*x = 4*c for c.
-5
Let o be 8 + 1 + (-4)/2. Let u = 3 + o. Let w = u + -7. Solve 0 = w*y + 3 - 0, -8 = 3*k - y for k.
-3
Suppose 5*l - l - 8 = 0. Let f be l/(-2)*1*-4. Solve -4*x + 3*o - 2*o + 25 = 0, -f*x + 30 = -2*o for x.
5
Suppose -4 - 21 = -5*a. Solve -2*u - a = -i, 4*u = -0*i + i - 9 for u.
-2
Suppose 0*p - 10 = p - 5*x, 2*p + 2*x - 28 = 0. Solve 3*s - 5 = n, -s = 6*n - 4*n + p for s.
0
Let y = -8 + 10. Solve -y*p - 4*b = -18, -2*b = -4*p - 21 + 7 for p.
-1
Suppose -12*q = -10*q + 2. Let r = 1 - q. Solve -4*w + 0*i = 3*i - 4, -w + r*i - 10 = 0 for w.
-2
Let b(m) = 3*m - 7. Let f be b(5). Suppose f*v = 3*v + 10. Solve -4*g + 2*g = 2, v*r + 3*g + 1 = 0 for r.
1
Le | {
"pile_set_name": "DM Mathematics"
} |
+ 2
Find the second derivative of -k*m**4 - 1231*k*m - 2*k + 5947*m**4 + 65*m**2 - 6*m + 4 wrt m.
-12*k*m**2 + 71364*m**2 + 130
What is the second derivative of a**5 + 24170*a**4 - 118668*a wrt a?
20*a**3 + 290040*a**2
What is the derivative of 6*w**2*y - 6740*w**2 + 4402*y**2 - 1 wrt y?
6*w**2 + 8804*y
What is the first derivative of 15022*b*q**3 - 679611*b + 9*q**2 wrt q?
45066*b*q**2 + 18*q
What is the first derivative of 2*n**3 + 3095*n**2 - 25*n - 90841 wrt n?
6*n**2 + 6190*n - 25
What is the first derivative of 168*p**3 + 9*p**2 - 2*p - 5544 wrt p?
504*p**2 + 18*p - 2
What is the third derivative of 896295*o**3*s**3 + 1324*o**3*s**2 + 6*o**3*s - 2*o**2*s**2 + 5*s wrt s?
5377770*o**3
What is the second derivative of -13*g**2*n*w - 26*g**2*n + g**2*w**3 - g**2*w - 3*g*n*w**3 - 10862*n*w**2 wrt g?
-26*n*w - 52*n + 2*w**3 - 2*w
What is the derivative of -110*h**2*u + h**2 - 21*h*u - 4*u + 187 wrt h?
-220*h*u + 2*h - 21*u
Find the third derivative of 163705*d**3*f*i**2 - 95916*d**2*f*i - 2*d**2*f - f*i**2 wrt d.
982230*f*i**2
What is the third derivative of -1058164*f**4 - 5628*f**2 + 26*f + 2 wrt f?
-25395936*f
What is the first derivative of -51796*m**4 - 212997 wrt m?
-207184*m**3
Find the first derivative of 700865*m + 541459 wrt m.
700865
Differentiate -s**2 - 5460*s + 32419.
-2*s - 5460
Find the first derivative of -3210907*g**2 - 3608269.
-6421814*g
What is the third derivative of -66936*h**3 - 536*h**2 + 36*h?
-401616
What is the derivative of -108737*r**2 + 136770?
-217474*r
What is the third derivative of 48807*d**4 - 3*d**2 - 10178*d?
1171368*d
Find the third derivative of -50*c**3*h**4 - 4*c**3*h**2 + 8*c**3*h - c**2*h**2 + 3*c*h**4 - 378*c*h**3 - 3*c + 6*h wrt h.
-1200*c**3*h + 72*c*h - 2268*c
Find the first derivative of 3*i**2*p*s - 5*i**2*p - 3*i**2*s + i*p*s + 106*i*s - 4*i - 25*p*s - 2*s wrt p.
3*i**2*s - 5*i**2 + i*s - 25*s
What is the second derivative of -743*z**5 + 283*z**3 + 1391*z - 756?
-14860*z**3 + 1698*z
What is the third derivative of -113*x**5 - 1435206*x**2?
-6780*x**2
Differentiate -759*b**2 - 213*b - 1292225 with respect to b.
-1518*b - 213
Differentiate 2206*p**3*w**2 - 36*p**2*w**2 - 6516*w**2 - 3*w wrt p.
6618*p**2*w**2 - 72*p*w**2
What is the third derivative of -6*h**5 - h**4 - 164*h**3 + 3*h**2 - 7*h - 18 wrt h?
-360*h**2 - 24*h - 984
Differentiate -5*n**3 + 22*n**2 + 2*n - 39573 wrt n.
-15*n**2 + 44*n + 2
What is the second derivative of -15*g*j**2*y**3 - 1299*g*j**2*y - 606*g*j*y**3 - 2*g*y**2 - j*y**3 - j*y**2 + 4*y**2 wrt j?
-30*g*y**3 - 2598*g*y
Find the third derivative of -234018*i**4 + 379004*i**2 wrt i.
-5616432*i
What is the first derivative of -1554*k*s**2*t*w - 4*k*s*t*w - k*w + 214*s**2*t*w - 5*s*w - 14*t*w wrt k?
-1554*s**2*t*w - 4*s*t*w - w
What is the derivative of -115726*x + 41619 wrt x?
-115726
What is the third derivative of 138789*j**3 + 2*j**2 - 204396?
832734
Differentiate 72013*p**3 - 37981.
216039*p**2
Find the second derivative of -26743*f*m*r**2 - 2*f*m*r - f*r**2 - 114457*f*r + 3*m*r**2 wrt r.
-53486*f*m - 2*f + 6*m
What is the third derivative of 10284*x**4 + x**3 - 5*x**2 + 2204*x - 4?
246816*x + 6
What is the derivative of -1016317*z - 1112537 wrt z?
-1016317
What is the third derivative of -256*n*y**5 + n*y**2 + 64698*n*y + 37*y**6 wrt y?
-15360*n*y**2 + 4440*y**3
Find the first derivative of -8*n*u*w**3 + 1172*n*u*w + 2*u*w**3 + u*w + 2*u - 67 wrt n.
-8*u*w**3 + 1172*u*w
Find the second derivative of -4289*i**2*x**3 + 1570*i**2*x - 2*i*x - 22*x**4 + 2*x - 1 wrt x.
-25734*i**2*x - 264*x**2
What is the second derivative of 6178*f**2*t**2 + 1028*f**2 - 20*f*t wrt t?
12356*f**2
What is the third derivative of -78*i*s*t**3 - 4*i*s*t*z - 2*i*t**4*z - 7*i*t**2*z + i*t**2 + 8*i + 6*s*t**2 - 59*t**4*z wrt t?
-468*i*s - 48*i*t*z - 1416*t*z
Differentiate 105661*r**2 - 29473 wrt r.
211322*r
What is the third derivative of -l**3*u**2 + 5*l**3*y**3 + 6*l**3*y**2 + 7*l**2*u**2*y**2 + 6*l*u*y + 8006*u**2*y**3 + 2*u**2*y**2 wrt y?
30*l**3 + 48036*u**2
Differentiate -88976*o**3*p + 2*o**2*p + 100*p + 5882 with respect to o.
-266928*o**2*p + 4*o*p
What is the derivative of l**2*s*w - 2*l**2*w + 25*l**2 + 7159*l*s*w - 51*l*s + 4*s wrt w?
l**2*s - 2*l**2 + 7159*l*s
What is the third derivative of 3070*f**6 + 38*f**3 + 22*f**2 + 4*f + 976?
368400*f**3 + 228
Find the second derivative of 76081*h**3 - 8*h**2*w + 136*h*w - 602*w wrt h.
456486*h - 16*w
What is the third derivative of -793870*c**6 - 30*c**2 + 9782?
-95264400*c**3
Differentiate 3880849*k - 4446397.
3880849
What is the third derivative of -2*k*l*y**3 + 8*k*y**3 - 5*k*y - 1302*l*y**5 - 3*l*y**2 - 636*l*y - 7*y**2 - 2*y wrt y?
-12*k*l + 48*k - 78120*l*y**2
Find the third derivative of 7*d**3*n**3*s - 2*d**3*n*s + 37*d**3*n - 5381*d*n**3 - 2*d*n**2*s - 97*d*n*s - 3*d*s - 7*n**3*s - 2*s wrt n.
42*d**3*s - 32286*d - 42*s
What is the third derivative of -138*k**4*n**2 + 42*k**4 - 13813*k**2 - n**2 wrt k?
-3312*k*n**2 + 1008*k
What is the third derivative of -4499*b**5 - 2*b**4 + 2*b**3 + 301*b**2 - 18*b?
-269940*b**2 - 48*b + 12
What is the third derivative of 1565623*a**3*m - 25*a**2*m + 4583*a wrt a?
9393738*m
What is the derivative of -2*q**4 - 3*q**3 + 13*q**2 + 3316*q + 41348?
-8*q**3 - 9*q**2 + 26*q + 3316
What is the second derivative of 97*m*x**2 - 7639*m - 329*x**2 - x wrt x?
194*m - 658
Find the first derivative of -12*p**3 + 19*p**2 + 6*p - 36844.
-36*p**2 + 38*p + 6
What is the second derivative of 2217502*t**2 - 57500*t - 8?
4435004
Find the second derivative of -2522*c**4 + 7*c**3*r**2 + 66*c*r**2 - 157*c*r + r**2 wrt c.
-30264*c**2 + 42*c*r**2
Find the third derivative of -1617182*n**3 - n**2 - 142502*n - 4 wrt n.
-9703092
What is the second derivative of 3535*d**4*p - 115*d**3*p**2 - 4*d*p**2 + 68568*d + p**2 wrt d?
42420*d**2*p - 690*d*p**2
What is the derivative of 3558894*g - 1511426?
3558894
Find the third derivative of -885459*g**3 - 2*g**2 + 12*g - 1478 wrt g.
-5312754
What is the second derivative of -70581*p**4 - 15823*p?
-846972*p**2
What is the third derivative of -247100*v**3 - 5*v**2 + 32*v - 131?
-1482600
What is the second derivative of -9*b**3 - 39322*b**2 - 471867*b wrt b?
-54*b - 78644
Find the third derivative of 10107*m*p**4*z - 2*m*p**3*z + m*p**2 + 15*m*p - 39*m*z - p**4*z - p**2*z wrt p.
242568*m*p*z - 12*m*z - 24*p*z
Find the third derivative of 16438*p**2*s**3*w**2 + 15*p**2*s**2*w**2 + p**2*s*w**2 - p**2*s*w - 28*p*s**3*w**2 + p*s**2*w**2 + 3*p*s**2*w + 300*s*w**2 wrt s.
98628*p**2*w**2 - 168*p*w**2
What is the third derivative of -1618*f**3*m*r**2 - 20*f**3*r**2 - 4*f**3*r + f**2*m*r + 28*f**2*r**2 + 32*f**2*r - 2*f*r**2 - 3*m*r**2 wrt f?
-9708*m*r**2 - 120*r**2 - 24*r
Find the first derivative of 45020*b - 62795.
45020
Differentiate 25*a**3 - 6246*a + 282379.
75*a**2 - 6246
Find the second derivative of -68*i**2*m**3*t + 138*i**2*m**2*t + 183*i*m*t - 2*m**3*t + 4*m**3 - 2*m*t wrt i.
-136*m**3*t + 276*m**2*t
Find the second derivative of 3241*a**5 + 2*a**3 - 2*a**2 + 298*a - 8.
64820*a**3 + 12*a - 4
Find the second derivative of -29435*z**5 + 2*z**2 + 967221*z.
-588700*z**3 + 4
Find the second derivative of 222511*t**2 - 212562*t.
445022
What is the third derivative of 363*h**4 - 1476*h**3*x**2 - 4*h**2*x - 10*h*x - 11*x**2 + 15*x wrt h?
8712*h - 8856*x**2
Find the second derivative of -f*j**2 + 8*f*j + 3*f + 45676*j**3 + 6*j**2 - 30*j + 227 wrt j.
-2*f + 274056*j + 12
What is the third derivative of -16838*v**3 - 5*v**2 + 1314*v wrt v?
-101028
What is the third derivative of 1093*s**3 - s**2 + 12*s - 6 wrt s?
6558
What is the first derivative of h**3*u - 3*h**3 - 3*h**2*u + 3701*u - 864 wrt u?
h**3 - 3*h**2 + 3701
Find the third derivative of -53587*f**3*x + f**3 + 2*f**2 - 45914*f*x wrt f.
-321522*x + 6
Find the third derivative of -29670*r**4 + 70583*r**2.
-712080*r
What is the first derivative of 55*c**4 + 1375*c**3 - 661807?
220*c**3 + 4125*c**2
Find the third derivative of 2*v**4 - 2971*v**3 + 2936*v**2 - 2*v - 3 wrt v.
48*v - 17826
What is the second derivative of 5*k**4 - 66437*k**3 + k - 80140?
60*k**2 - 398622*k
Find the third derivative of j**6 + 1855*j**5 + 3*j**4 - 23463*j**2 - 2*j.
120*j**3 + 111300*j**2 + 72*j
What is the derivative of 341569*a - 244951?
341569
What is the third | {
"pile_set_name": "DM Mathematics"
} |
- i - o, 51 = 5*d - 3*i. What is the units digit of d?
2
Suppose 30 = -j - 18. Let h = j + 27. Let s = h - -34. What is the tens digit of s?
1
Let o(c) = c**2 - 14*c - 9. Let u be o(15). Suppose 0 = u*f - f + 3*k - 29, 2*f + k = 11. What is the units digit of f?
4
Let l = -1 + 1. Suppose l = -8*k + 3*k + 15. What is the units digit of 4/6*(0 + k)?
2
Suppose -1 = -f + 3. Suppose -f*r + 0*r = 12. What is the units digit of 0/r + (1 - -5)?
6
Suppose -5*l - 181 = 324. Let d be l/(-5) + 1/(-5). Suppose 4*x = d, -5*x + 23 = a - 3. What is the units digit of a?
1
Let g be (-8)/(-3)*75/(-20). Let s = g - -9. What is the tens digit of (8/s)/(5/(-10))?
1
Suppose 13*a - 223 = 2338. What is the units digit of a?
7
Suppose -3*v + 7*v - 208 = 0. What is the tens digit of v?
5
Let b = 35 - 27. What is the units digit of b?
8
Let m be ((-4)/12)/(1/(-12)). Suppose 0*c = c - m. What is the units digit of c/(-14) - (-16)/7?
2
Suppose 8*t - 3*t = 60. Suppose a + a = t. Let b = -5 + a. What is the units digit of b?
1
Let l(c) = 5*c**3 + 25*c**2 - 14*c + 51. Let j(w) = -w**3 - 5*w**2 + 3*w - 10. Let t(m) = -11*j(m) - 2*l(m). What is the units digit of t(-6)?
2
Suppose -3*j + 44 = -70. What is the tens digit of j?
3
Let o be (-2)/(-7) - 6/21. Suppose o = -3*d + 15, 0*d - 6 = w - 2*d. Suppose -3*m + w*t = -32, 7 = 3*m - 3*t - 29. What is the tens digit of m?
1
Let t(p) be the first derivative of -1/2*p**2 - 1 + p**3 + 0*p. What is the units digit of t(1)?
2
Let h(w) = -w - 6*w - 5 + 2*w + 1. What is the units digit of h(-4)?
6
Let w = -11 - -14. What is the units digit of 0 + (-1)/(w/(-54))?
8
What is the units digit of 5808/80 + (-3)/5?
2
Let h = -22 - -39. Let p = h + -9. Suppose 1 - 2 = z, -4*b + p = -4*z. What is the units digit of b?
1
Suppose -3 - 12 = -3*m. Suppose -2*f + 0*f - 5*a + 75 = 0, f = m*a. What is the tens digit of f?
2
Suppose -24 = -2*r - l + 25, 0 = -l - 3. Let d = 25 - 10. Let o = r - d. What is the units digit of o?
1
Let n = 5 - 9. What is the tens digit of 8/3*(n - -10)?
1
Let t(v) = -v**3 - v**2 - 2*v - 3. What is the tens digit of t(-3)?
2
Let d = -6 + 37. Suppose -5*v = 6*q - q - 95, -4*v - 2*q + 82 = 0. Let j = d - v. What is the units digit of j?
9
Let c = 321 - 159. What is the tens digit of c?
6
Let z(f) = -f**2 + 9*f - 10. Let k be (-1)/(-5) - 68/(-10). Let x be z(k). Suppose -q + 13 = x*o, 0*q = -q - 2*o + 7. What is the units digit of q?
1
Let p = -70 - -109. What is the tens digit of p?
3
Suppose 5*m = 2*m + 12. Let c = m + -4. Suppose -x - 5*z = -7 - 6, c = -4*x - 2*z + 16. What is the units digit of x?
3
Suppose 68 = b - 177. What is the hundreds digit of b?
2
Let q be -2*1/(-3)*30. Let t(o) = o**2 + 7*o + 7. Let y be t(-6). Let f = q + y. What is the units digit of f?
1
Suppose -2*v + 12 = 2*v. Suppose -r + 11 = v. What is the units digit of r?
8
Suppose 160 = -3*i + 451. What is the tens digit of i?
9
Suppose -b + 0*b + 200 = 3*t, 2*t - 105 = 5*b. What is the tens digit of t?
6
Suppose -4*t - 4*q + 121 = q, 0 = -2*t - 4*q + 62. What is the units digit of t?
9
Suppose 3*g = -4*d - 34, 3*d = 3*g - 0*d + 6. Suppose 0*w - 5*t = -5*w - 5, 0 = -5*w - t + 1. What is the units digit of -1*(g - (0 + w))?
6
Suppose 2*y - 5*b = -9, y + b - 29 = -2*y. What is the units digit of y?
8
Let p be (-8)/(-6) + 2/(-6). Let t(q) = 60*q**2 + 2*q - 1. Let u be t(p). Suppose 5*s = 9 + u. What is the tens digit of s?
1
Suppose 3*k - 4*f - 86 = 0, 152 = 4*k - 0*k + 4*f. What is the units digit of k?
4
Let y = -2 - -6. Suppose x - y*x + 24 = 3*o, 3*x - 9 = 2*o. Suppose 3*t + 32 = 4*q + x*t, 0 = 3*q - 3*t - 24. What is the units digit of q?
8
Suppose -5*b + 426 + 239 = 0. What is the hundreds digit of b?
1
What is the units digit of 111 - (13 + -11 + -1 + -1)?
1
Suppose 0*k = -3*k - 51. Let x be (1 - 0 - k) + -2. What is the units digit of 9/4*x/6?
6
Suppose 11*t = 8*t + 126. What is the units digit of t?
2
Let b = -292 - -446. What is the tens digit of b?
5
Let f(v) be the first derivative of v**4/4 - 2*v**3/3 + 3*v**2/2 - 2*v + 2. What is the units digit of f(3)?
6
Let s be 1 + -2*2 + 3. Suppose 0*t - t + 24 = s. What is the units digit of t?
4
Suppose 4 = -4*g + 6*g. Suppose g*b + 2 - 14 = 0. Suppose -3*y = -b, 5*t - 4*y = -y + 54. What is the units digit of t?
2
Let t(s) = 5*s - 1. Let m = 12 + -9. What is the tens digit of t(m)?
1
Suppose -30 = -2*b + 2*p, -5*b + 2*p = -13 - 47. Let d = 14 - b. What is the units digit of d?
4
Let j(k) = 0 - 1 + 4 - k + 1. Let d be j(3). Let z(r) = 9*r - 1. What is the units digit of z(d)?
8
Let p(w) = 56*w - 2. What is the tens digit of p(1)?
5
What is the units digit of -2 + 5/1 + 3 + -3?
3
Suppose 2*a - 546 = -2*q, 6*q + 2*a = 2*q + 1100. What is the units digit of q?
7
Suppose n + d = 10, -3 = -n + 3*d - 9. Suppose -2*l = 0, 4*f + 0*l + 3*l = -16. Let w = n + f. What is the units digit of w?
2
Let g(s) = 2*s**2 + 5*s - 10. Suppose 2*c = -2*r - 18, -3*c - c - 6 = -r. What is the tens digit of g(r)?
3
Let g(b) be the second derivative of b**4/12 + b**3/6 + b**2/2 + 5*b. What is the tens digit of g(5)?
3
Let b = 63 - 38. What is the units digit of b?
5
Suppose 41 = 2*m + 15. Suppose 5*i + m + 23 = 4*r, 5*r + 4*i - 45 = 0. What is the units digit of r?
9
What is the tens digit of (-5)/(-10) + (-87)/(-6)?
1
Let l(f) = 3*f**2 - 8*f + 9. What is the tens digit of l(4)?
2
Let v = -111 + 221. What is the units digit of v?
0
Suppose -2*b - 18 = 5*o - 6*b, 4*o + 4 = -2*b. Let z = 13 + o. What is the tens digit of z?
1
Suppose -2*u + 6*u + 3*t = -23, 1 = -2*u - 5*t. What is the units digit of (u/(-2))/((-2)/(-2))?
4
Let r = -9 - -17. Let a(l) = -l**3 + 9*l**2 - 7*l. What is the units digit of a(r)?
8
Let d(a) = -2*a**2 - 1. Let p be d(1). What is the units digit of (-10)/(-2) + (-1 - p)?
7
Suppose 0 = -4*f + 2*t + 124, 142 = 6*f - f + 4*t. Let r = f + -19. What is the units digit of r?
1
Let s(w) = -15*w - 18. What is the hundreds digit of s(-8)?
1
Suppose j = -5*y + 357, 3*y + 3*j - 77 = 2*y. What is the tens digit of y?
7
Suppose -3*d + 17 = -2*w, 3*w - 11 = -3*d - w. Let j be 1*(5 + (-2)/2). Suppose -j*k - m + 19 = -5, d*k - 30 = m. What is the units digit of k?
6
Let m = 77 - 54. Suppose -5*g + 27 = -m. What is the units digit of 14/g - 4/10?
1
Let l(h) be the third derivative of h**5/60 - h**4/4 - h**3 + 6*h**2. What is the tens digit of l(9)?
2
Let q be 6/42 + (-13)/(-7). Suppose 2*v = l - 18 - q, 0 = -2*l - 3*v + 33. What is the tens digit of l?
1
Let g(u) = -3 + u - 2*u - 3. Let v be g(-6). Suppose y - 1 - 3 = v. What is the units digit of y?
4
Let z = 13 - 8. Let k(h) = 37*h**3 - h**2 + h. Let m be k(1). Suppose 5*g - 2*t = 84, 3*t = z*g - m - 44. What is the units digit of g?
8
Let i(j) = 3*j**3 + j + 2. Let u be i(-2). What is the units digit of (u/(-3 + 1))/2?
6
Let d = -58 - -180. What is the units digit of d?
2
Let y be (-1 + 2 + 0)*-11. Let g = 14 + y. What is the units digit of g?
3
Let j = -5 - -6. Let g be (-1 + j)/(-2 + 0). What is the units digit of (-10)/((g + 1)*-1)?
0
What is the tens digit of (-168)/(-3*(-12)/(-54))?
5
Let a be -16*((-6)/(-4) - 1). Let c be a/(-3)*(-3)/(-2). Suppose -2*j - 8 = -c*j. What is the units digit of j?
4
Let d be -3*3/(-3) - -2. Suppose 5*r - 4*c + 11 = 0, -3*c + d*c = r + 7. What is the units digit of r?
1
Let r be ((-8)/5)/(12/(-30)). Let w(b) = -b + r*b - b. What is the units digit of w(3)?
6
Let x(t) = t**3 - 5*t**2 + 5. Let h be x(5). Suppose -3*c = 4*q + q - 55, h*c + 3*q - 81 = 0. What is the tens digit of c?
1
What is the tens digit of (34 + 3 + 0)*1?
3
Suppose 3*m + x = -15, 5*m - 6 = 3*x - 17. What is the tens digit of 2/m - 58/(-4)?
1
What is the units digit of (-34)/(-51)*(-93)/(-2)?
1
Let l be -2*(3 + -2) + 6. Suppose -d + l*y + 9 = -7, 0 = -3*d + y + 70. Suppose -r - r = -c - d, c = 0. What is the units digit of r?
2
Let s = 96 - 29. What is the units digit of s?
7
Suppose -4*z + 6*g - 2*g = -176, -z + 59 = -4*g. What is the tens digit of z?
3
Suppose 4*a - 3*p - 6 = -p, 4*p = -a + 24. Let x = 26 - -7. Suppose a*r - x = r. What is the tens digit of r?
1
Let n(p) be the third derivative of p**4/24 + p**3 + p**2. Let b = -16 + 11. What is the units digit of n(b)?
1
Let z = -233 - -440. What is the tens digit of z?
0
Suppose 7*w = 2*w + 275. What is the tens | {
"pile_set_name": "DM Mathematics"
} |
4 + 32*sqrt(11)
Simplify (sqrt(252)*-3 + 2)**2.
-72*sqrt(7) + 2272
Simplify 2*(sqrt(11) + 1)*1 - (sqrt(165)/(sqrt(5) - sqrt(5)*-2))/sqrt(3).
2 + 5*sqrt(11)/3
Simplify (sqrt(6)/sqrt(2) + 0 + -2)**2.
-4*sqrt(3) + 7
Simplify 0 + sqrt(2592).
36*sqrt(2)
Simplify 6*-1*(sqrt(19) - (sqrt(19) + -1))**2.
-6
Simplify (sqrt(2) + sqrt(128)/sqrt(4))**2 + (-2 + sqrt(2) + 0)**2.
-4*sqrt(2) + 56
Simplify -2*sqrt(68) + -1 + sqrt(68) - sqrt(68).
-4*sqrt(17) - 1
Simplify -6*(sqrt(20)/(2*sqrt(144)))**2.
-5/24
Simplify 4*(sqrt(204)*-2 + sqrt(204))/sqrt(12)*3.
-12*sqrt(17)
Simplify (sqrt(102) - 6*sqrt(102)*5 - sqrt(102) - sqrt(102))/sqrt(6).
-31*sqrt(17)
Simplify ((-2*((sqrt(98) - sqrt(98)*1) + sqrt(98)) - sqrt(98))**2 - (-3 + (-1 + sqrt(98))**2 - sqrt(98))) + -4.
21*sqrt(2) + 782
Simplify (sqrt(56) - (sqrt(392)*2)/sqrt(7))/(sqrt(8) + sqrt(40)/sqrt(80)).
-4*sqrt(7)/5
Simplify sqrt(72)/sqrt(4) - (sqrt(2)*-2 + 5).
-5 + 5*sqrt(2)
Simplify (sqrt(65) - sqrt(65)*4)/sqrt(5) - (sqrt(13) + 5 + -3).
-4*sqrt(13) - 2
Simplify 5 + (((sqrt(132) - sqrt(132)*3*3) + sqrt(132))/sqrt(12))**2.
544
Simplify (-1*-5*sqrt(19) - sqrt(19)) + sqrt(19) + sqrt(209)/(sqrt(11) + sqrt(396)).
36*sqrt(19)/7
Simplify 3*(sqrt(7)*-2 + -5)*-6.
90 + 36*sqrt(7)
Simplify -2*(2 + (1 + sqrt(147))*-5).
6 + 70*sqrt(3)
Simplify (sqrt(320) + (sqrt(320) - (sqrt(320) - (sqrt(320) - (0 + sqrt(320))) - sqrt(320))**2))*-2.
-32*sqrt(5)
Simplify ((-1 + sqrt(1008) - sqrt(1008) - sqrt(1008))*-3)**2 + -2 + 1.
216*sqrt(7) + 9080
Simplify -1 + -1 + sqrt(11) + ((sqrt(132)*-1)/sqrt(12))**2.
sqrt(11) + 9
Simplify (sqrt(7)*-1 + -4)*-3.
3*sqrt(7) + 12
Simplify (sqrt(540)/sqrt(4))/(2*sqrt(3)*2).
3*sqrt(5)/4
Simplify ((sqrt(156) + sqrt(156) + 1*sqrt(156))*-6)/sqrt(12).
-18*sqrt(13)
Simplify 0 + (sqrt(13) - (1 + sqrt(637))**2) + 2.
-636 - 13*sqrt(13)
Simplify (sqrt(17) - (sqrt(17) + sqrt(272)*1) - sqrt(17))*2.
-10*sqrt(17)
Simplify ((2*sqrt(77))/sqrt(11))**2 - (sqrt(252) + 1*sqrt(252) + sqrt(252)).
-18*sqrt(7) + 28
Simplify 4 + 3 + sqrt(7) + (3*sqrt(175))**2.
sqrt(7) + 1582
Simplify (sqrt(156) - (sqrt(156) - (sqrt(156) + 1*sqrt(156)*6)))/(-6*sqrt(432)).
-7*sqrt(13)/36
Simplify ((sqrt(132) - (-3*-1*sqrt(132) - sqrt(132)))/(sqrt(36)/sqrt(3)*3))**2.
11/9
Simplify sqrt(78)/(sqrt(294) - (sqrt(294)*3 - sqrt(294)) - sqrt(6)).
-sqrt(13)/8
Simplify ((sqrt(500) - ((sqrt(500) - (1 + sqrt(500))) + -5))*-6)**2.
4320*sqrt(5) + 19296
Simplify (sqrt(35)/(sqrt(7) + sqrt(70)/sqrt(90)))**2 + sqrt(30)/(sqrt(6) - (-5*1*sqrt(6) + sqrt(6))).
sqrt(5)/5 + 45/16
Simplify (sqrt(102) + (sqrt(102) - sqrt(102)*2)*4)/sqrt(6).
-3*sqrt(17)
Simplify sqrt(209)/(-4*sqrt(99) + sqrt(11))*-4.
4*sqrt(19)/11
Simplify (5 + -4 + sqrt(1216) + 1*(sqrt(1216) - (-1 + sqrt(1216) - sqrt(1216))))**2.
64*sqrt(19) + 4868
Simplify ((sqrt(3)*2*1)**2 + -3)*-3.
-27
Simplify (sqrt(432) + sqrt(432)*-1*3 + sqrt(432) + (5*sqrt(432)*2 - sqrt(432)) + sqrt(432))**2.
34992
Simplify (sqrt(304)*1 - (2 + sqrt(19))*-3)**2.
84*sqrt(19) + 967
Simplify ((1*sqrt(119)*2)/(sqrt(343)*-1 - sqrt(343)))**2.
17/49
Simplify 0 + (sqrt(99)/(-3*sqrt(729)))**2.
11/729
Simplify 4 + sqrt(252) + 2.
6 + 6*sqrt(7)
Simplify (3 + sqrt(2) + -2)*5.
5 + 5*sqrt(2)
Simplify -5 + (sqrt(11) + sqrt(11)*-2)**2 - (-5 + 1*sqrt(11))**2.
-30 + 10*sqrt(11)
Simplify (-1 + sqrt(98))*3 + (-1*(1 + sqrt(98) - sqrt(98)))**2.
-2 + 21*sqrt(2)
Simplify 5*(2 + 1 + sqrt(13) - (sqrt(130) - (sqrt(130)*-1 - sqrt(130)))/sqrt(10))**2.
-60*sqrt(13) + 305
Simplify (sqrt(38)*1*-5)/(sqrt(6)/sqrt(3)*-3).
5*sqrt(19)/3
Simplify -5 + 2*sqrt(7) + 2*(sqrt(63) - sqrt(7))**2.
2*sqrt(7) + 51
Simplify (1*sqrt(114)*3)/sqrt(6).
3*sqrt(19)
Simplify ((sqrt(130)*2*-6)/sqrt(10) + 1)**2.
-24*sqrt(13) + 1873
Simplify ((2*sqrt(80)/sqrt(4))/(sqrt(1440) + sqrt(1440) + sqrt(1440)*-2 + sqrt(1440) + sqrt(1440)))**2 + 1.
73/72
Simplify ((-4*sqrt(70) + sqrt(70) - sqrt(70))/sqrt(2))/(sqrt(720) + (4*sqrt(720) - sqrt(720)) + sqrt(720)).
-sqrt(7)/15
Simplify (-2 + 3*sqrt(76) + -2)**2.
-48*sqrt(19) + 700
Simplify (sqrt(3600)*2 + sqrt(36))/(sqrt(48)/(sqrt(8)/sqrt(2))).
21*sqrt(3)
Simplify ((-2*sqrt(78) - sqrt(78)) + sqrt(78) - sqrt(78))/sqrt(6) + sqrt(52)/(sqrt(12)/sqrt(3)).
-2*sqrt(13)
Simplify 0 + (sqrt(11) + 2 + 5)**2.
14*sqrt(11) + 60
Simplify -1 + (sqrt(19) + sqrt(114)/(sqrt(6)*-5) + sqrt(19) - sqrt(19))**2.
279/25
Simplify 2*(1*sqrt(833) + -2).
-4 + 14*sqrt(17)
Simplify 2*sqrt(1300)*-1 + sqrt(1300).
-10*sqrt(13)
Simplify (2*sqrt(98))**2 - sqrt(2) - (1*sqrt(6))/sqrt(3).
-2*sqrt(2) + 392
Simplify (sqrt(11) + 3*(1 + sqrt(11)) + -5)**2.
-16*sqrt(11) + 180
Simplify ((sqrt(304) + -2)*1)**2.
-16*sqrt(19) + 308
Simplify (sqrt(12) + 1)**2 + -4.
4*sqrt(3) + 9
Simplify (sqrt(19) - (sqrt(1216) + sqrt(19))**2) + -1 + -3*(-3*sqrt(19) + sqrt(19)).
-1540 + 7*sqrt(19)
Simplify 5*(sqrt(72) + 1 + (sqrt(2) - sqrt(24)/(1*sqrt(12))))*6.
30 + 180*sqrt(2)
Simplify -5 + ((1*sqrt(11) - sqrt(11))*2 - (sqrt(132)/sqrt(4))/sqrt(3))**2.
6
Simplify ((-1 + sqrt(2057) + sqrt(2057))*5)**2 + 5.
-1100*sqrt(17) + 205730
Simplify -1 + sqrt(36)/(sqrt(12) - sqrt(12)*-2 - sqrt(12)) + sqrt(108)*1.
-1 + 13*sqrt(3)/2
Simplify (sqrt(7) - ((2*sqrt(448) - sqrt(448))**2 + sqrt(448) + sqrt(448) - sqrt(448))) + 0 + sqrt(7) + (sqrt(63))**2 + 6*(1*sqrt(175))**2.
-6*sqrt(7) + 665
Simplify sqrt(28)/(-2*sqrt(16)/sqrt(4)) + 2.
-sqrt(7)/2 + 2
Simplify (sqrt(25)*-1*5)/(sqrt(405) - sqrt(405)*2) + 1.
1 + 5*sqrt(5)/9
Simplify sqrt(98) + (sqrt(98) + (sqrt(98) + 4 + sqrt(98) - sqrt(98)) + 0 + sqrt(98) - sqrt(98))**2.
119*sqrt(2) + 408
Simplify 3*(-3 + sqrt(19) + sqrt(19) + -2)*4.
-60 + 24*sqrt(19)
Simplify (5 + (1*sqrt(833) - sqrt(833)) + sqrt(51)/sqrt(3) + 5)**2.
20*sqrt(17) + 117
Simplify sqrt(35)/(sqrt(567)*-1)*1.
-sqrt(5)/9
Simplify (sqrt(208)*5)**2 + (sqrt(39) - sqrt(156)/sqrt(4))/sqrt(3).
5200
Simplify (sqrt(396) - 6*(-2*sqrt(396) - sqrt(396))) + sqrt(396).
120*sqrt(11)
Simplify (-6*(sqrt(300) - (2*sqrt(300) + 4)))**2.
2880*sqrt(3) + 11376
Simplify -1 + sqrt(52)/sqrt(4)*3.
-1 + 3*sqrt(13)
Simplify ((sqrt(468) - -2*sqrt(468)*2) + sqrt(468) + sqrt(468))**2.
22932
Simplify (-2*(sqrt(833) + sqrt(833)*1) - (-1 + (sqrt(833) - 1*sqrt(833))))**2.
-56*sqrt(17) + 13329
Simplify (sqrt(720) + (sqrt(720) + (0 + sqrt(720) + -5 - sqrt(720)) - sqrt(720)) + -5)**2.
-240*sqrt(5) + 820
Simplify (sqrt(99))**2*3 - -5*(sqrt(11) + sqrt(539)).
40*sqrt(11) + 297
Simplify ((sqrt(112) - (0 + sqrt(112)))*5 + -5)**2.
25
Simplify -1 + sqrt(75) - (-4 + sqrt(3) + -1 - sqrt(3)).
4 + 5*sqrt(3)
Simplify (sqrt(1300)*4)**2*5.
104000
Simplify (2*(1 + sqrt(63)))**2 + -2.
24*sqrt(7) + 254
Simplify sqrt(76)/(sqrt(4)*-2) - 2*sqrt(1539).
-37*sqrt(19)/2
Simplify ((sqrt(228)*-3 + sqrt(228))*-2 - sqrt(228) - sqrt(228))/(sqrt(48) + sqrt(48)*-3).
-sqrt(19)/2
Simplify (sqrt(204)/(sqrt(4)*3) - sqrt(51))/(sqrt(3) - (sqrt(3) + sqrt(12)/sqrt(4)*2) - sqrt(3)).
2*sqrt(17)/9
Simplify -1*(sqrt(12) + sqrt(432)).
-14*sqrt(3)
Simplify (sqrt(171) + ((sqrt(171) + 2*sqrt(171))*-5 - sqrt(171)))/(sqrt(27)/(sqrt(9)/sqrt(3))).
-15*sqrt(19)
Simplify 1*(sqrt(8) + 5)**2 + -3.
20*sqrt(2) + 30
Simplify (sqrt(133)*2 + sqrt(133))/sqrt(7) + (sqrt(19) - ((sqrt(171)*-3 - sqrt(171)) + sqrt(171) - sqrt(171))/sqrt(9)).
8*sqrt(19)
Simplify sqrt(52)/(6*(sqrt(4) + sqrt(16)/sqrt(4) - sqrt(4))).
sqrt(13)/6
Simplify (3 + sqrt(80) + 2 + sqrt(45)*-2)**2.
-20*sqrt(5) + 45
Simplify 3*((sqrt(2)*2)**2 + -5).
9
Simplify (sqrt(81)/(sqrt(3) + (sqrt(48) - sqrt(3))))/sqrt(9) - (-6*(sqrt(3) + 0) - (sqrt(6)/sqrt(2)*-4)**2).
25*sqrt(3)/4 + 48
Simplify (5*-4*3*sqrt(272))**2.
979200
Simplify sqrt(8)/(sqrt(4) + sqrt(12)/sqrt(3)) - sqrt(6)/(sqrt(3) + sqrt(12)).
sqrt(2)/6
Simplify (2*-4*-5*(sqrt(175) + sqrt(175) + 0 + sqrt(175)))**2.
2520000
Simplify (-5*sqrt(275)*2)**2.
27500
Simplify (4 + ((sqrt(11) + (sqrt(44)/sqrt(4))**2)*6 - sqrt(11)))*-4.
-280 - 20*sqrt(11)
Simplify -5 + -4*-2*sqrt(11).
-5 + 8*sqrt(11)
Simplify sqrt(108) + 0 + 1.
1 + 6*sqrt(3)
Simplify ((sqrt(120)/sqrt(3) + sqrt(40))*1)/((sqrt(72)*3)/sqrt(9)).
2*sqrt(5)/3
Simplify sqrt(864)/sqrt(8) + -4.
-4 + 6*sqrt(3)
Simplify (-1 + sqrt(1300) + 1)**2.
1300
Simplify -2 + (-2*sqrt(104)*-3)/sqrt(8).
-2 + 6*sqrt(13)
Simplify -3*(sqrt(684) + -3 - sqrt(684)).
9
Simplify (sqrt(125) + -2*(-1 + sqrt(125)) + sqrt(125) + sqrt(125))**2 + (sqrt(125)*-2 - sqrt(125)) + 2 + sqrt(125).
10*sqrt | {
"pile_set_name": "DM Mathematics"
} |
124874 and 551.
29
Calculate the greatest common divisor of 2561 and 2.
1
What is the greatest common factor of 2259990 and 540?
90
Calculate the greatest common divisor of 6622 and 172.
86
What is the highest common factor of 60453 and 3537?
27
What is the greatest common factor of 11571 and 8816?
551
What is the greatest common factor of 7464 and 48?
24
What is the highest common divisor of 14658130 and 115?
115
What is the greatest common divisor of 262565 and 1870?
85
Calculate the greatest common divisor of 884 and 39988.
52
Calculate the greatest common factor of 12286937 and 106.
53
What is the greatest common divisor of 2367 and 21210687?
2367
What is the highest common divisor of 43 and 614642?
43
What is the greatest common factor of 13455 and 90?
45
Calculate the highest common factor of 2025 and 127035.
135
Calculate the greatest common divisor of 79 and 2251.
1
What is the greatest common factor of 46230 and 69?
69
What is the highest common factor of 452439 and 351?
351
Calculate the greatest common divisor of 1034 and 7553370.
1034
What is the greatest common divisor of 44 and 987954?
22
What is the greatest common factor of 3512 and 568?
8
Calculate the greatest common divisor of 90 and 66465.
45
What is the greatest common factor of 252 and 84546?
126
What is the greatest common divisor of 80288 and 2912?
416
Calculate the greatest common divisor of 1221 and 555.
111
What is the greatest common divisor of 345316 and 12314?
262
Calculate the greatest common factor of 3256 and 21608.
296
Calculate the greatest common factor of 282 and 10481.
47
What is the highest common divisor of 23372 and 4?
4
Calculate the highest common divisor of 24 and 53576.
8
Calculate the highest common factor of 22833 and 14319.
387
Calculate the greatest common divisor of 72709 and 39.
13
Calculate the greatest common divisor of 94 and 1076582.
94
What is the greatest common divisor of 310297 and 221?
13
Calculate the highest common divisor of 72 and 27568.
8
Calculate the greatest common factor of 11750 and 1222.
94
Calculate the greatest common factor of 18 and 424287.
9
What is the highest common factor of 319824 and 32?
16
Calculate the greatest common divisor of 2900 and 3828.
116
What is the highest common factor of 41700 and 2950?
50
Calculate the highest common divisor of 513 and 486552.
57
Calculate the greatest common divisor of 321524 and 644.
28
What is the greatest common factor of 38144 and 212?
4
What is the greatest common divisor of 1072683 and 779?
779
Calculate the greatest common divisor of 112746 and 19.
19
What is the highest common factor of 54 and 258696?
18
What is the highest common factor of 6624 and 1335840?
2208
Calculate the greatest common divisor of 30 and 142965.
15
What is the highest common divisor of 1265 and 7475?
115
What is the greatest common divisor of 610 and 74470?
10
Calculate the greatest common divisor of 1420 and 17380.
20
Calculate the greatest common divisor of 58059 and 18.
9
Calculate the highest common divisor of 192 and 113856.
192
Calculate the greatest common factor of 396 and 1749.
33
What is the greatest common divisor of 9137126 and 527?
527
Calculate the highest common divisor of 4958 and 1998.
74
What is the greatest common divisor of 113 and 43?
1
Calculate the highest common factor of 2216734 and 78.
26
Calculate the highest common factor of 11682 and 1548.
18
What is the highest common divisor of 4927 and 82622?
379
What is the greatest common factor of 284704 and 217?
217
Calculate the greatest common divisor of 58432 and 35552.
352
Calculate the greatest common divisor of 14877 and 488737.
551
What is the highest common factor of 22172 and 72?
4
What is the greatest common divisor of 167374 and 318?
106
Calculate the highest common factor of 218425 and 100.
25
What is the greatest common factor of 191026 and 2742?
914
Calculate the greatest common factor of 64 and 723040.
32
Calculate the greatest common factor of 775 and 271025.
25
What is the highest common factor of 15 and 9084?
3
Calculate the highest common factor of 3344 and 6061.
209
Calculate the highest common divisor of 195 and 42855.
15
Calculate the greatest common divisor of 92 and 97267.
23
Calculate the highest common divisor of 25 and 39005.
5
Calculate the greatest common divisor of 20511 and 17649.
477
Calculate the highest common divisor of 235700 and 200.
100
What is the greatest common factor of 149184 and 432?
144
Calculate the greatest common factor of 70488 and 1177.
11
Calculate the greatest common divisor of 1330 and 2204.
38
Calculate the highest common factor of 559 and 1560.
13
Calculate the highest common divisor of 591 and 121549.
197
What is the highest common factor of 22 and 439802?
22
What is the greatest common divisor of 561035 and 40?
5
What is the greatest common divisor of 110424 and 473?
43
What is the highest common divisor of 1814 and 22?
2
What is the highest common factor of 23584 and 15840?
352
What is the highest common divisor of 66 and 34?
2
Calculate the highest common factor of 25893 and 49.
7
Calculate the greatest common divisor of 123684 and 220.
44
Calculate the greatest common factor of 187500 and 12.
12
What is the greatest common divisor of 66 and 150348?
66
Calculate the greatest common factor of 19737 and 1247817.
2193
What is the greatest common divisor of 378 and 2408?
14
Calculate the greatest common factor of 45 and 609.
3
Calculate the greatest common divisor of 522720 and 1782.
594
What is the highest common divisor of 22517 and 82236?
979
What is the greatest common factor of 477354 and 102?
6
Calculate the highest common divisor of 1544 and 13096.
8
Calculate the highest common divisor of 2323 and 3151.
23
What is the highest common divisor of 172 and 1009124?
172
Calculate the greatest common divisor of 1176 and 160944.
168
Calculate the greatest common factor of 6648 and 720.
24
Calculate the highest common divisor of 780 and 84600.
60
What is the highest common divisor of 6744 and 48?
24
What is the greatest common factor of 4150 and 15?
5
Calculate the highest common factor of 672 and 29736.
168
Calculate the greatest common divisor of 112 and 206248.
56
What is the highest common factor of 3388 and 3881801?
847
What is the highest common factor of 9959 and 345?
23
What is the greatest common factor of 1678510 and 530?
530
What is the greatest common divisor of 6896372 and 2982?
994
Calculate the greatest common factor of 718 and 150421.
359
Calculate the greatest common factor of 808 and 299364.
404
What is the greatest common divisor of 104363 and 3808?
119
Calculate the greatest common divisor of 95478 and 54.
6
What is the highest common factor of 37620 and 385?
55
Calculate the greatest common divisor of 4004469 and 63.
63
What is the highest common divisor of 1798 and 43413?
29
Calculate the greatest common factor of 3774216 and 12.
12
What is the highest common factor of 2244 and 6987?
51
Calculate the greatest common divisor of 37506 and 1386.
42
What is the greatest common factor of 169646 and 6886?
626
What is the greatest common divisor of 568 and 17892?
284
Calculate the greatest common divisor of 677034 and 522.
522
What is the highest common factor of 243420 and 30?
30
Calculate the greatest common divisor of 154438 and 74.
74
Calculate the highest common factor of 66742 and 78.
26
What is the greatest common divisor of 132 and 17754?
66
What is the greatest common divisor of 9 and 36681?
3
Calculate the highest common divisor of 51 and 58827.
3
Calculate the highest common divisor of 238 and 25041.
17
Calculate the greatest common divisor of 489758 and 426.
142
Calculate the highest common factor of 580 and 889140.
580
What is the highest common divisor of 994014 and 874?
46
What is the highest common factor of 10206 and 12096?
378
Calculate the highest common divisor of 4 and 34642.
2
What is the greatest common divisor of 2019173 and 127?
127
Calculate the greatest common divisor of 3317 and 38413.
107
Calculate the greatest common divisor of 762 and 213.
3
Calculate the greatest common factor of 7410 and 26980.
190
What is the greatest common factor of 89982 and 36?
18
What is the highest common factor of 1362 and 2250?
6
What is the highest | {
"pile_set_name": "DM Mathematics"
} |
?
0.0148
What is -90423.30362 rounded to the nearest 10?
-90420
What is 55.82541466 rounded to three decimal places?
55.825
What is 116737.386 rounded to the nearest 10?
116740
What is -29.69072864 rounded to three decimal places?
-29.691
Round -658266390 to the nearest one million.
-658000000
What is 0.168714172 rounded to three dps?
0.169
Round 185005.49 to the nearest 1000.
185000
Round 54835601700 to the nearest one million.
54836000000
Round -261.859647 to the nearest ten.
-260
What is 27.19674114 rounded to 0 decimal places?
27
What is 869.108489 rounded to one dp?
869.1
What is -3220.9986 rounded to the nearest 100?
-3200
Round 0.0003544730959 to 6 decimal places.
0.000354
What is -0.03199507459 rounded to 4 decimal places?
-0.032
What is -0.001196698057 rounded to six decimal places?
-0.001197
What is -4.12306959 rounded to two dps?
-4.12
Round -95046.5748 to the nearest ten.
-95050
Round -346.32061 to one decimal place.
-346.3
Round 32.855616 to the nearest integer.
33
Round -2777.15184 to the nearest integer.
-2777
What is 0.00283460332 rounded to 4 decimal places?
0.0028
What is 3341.16658 rounded to the nearest 10?
3340
What is 0.000039135043 rounded to six decimal places?
0.000039
What is 0.478173324 rounded to four decimal places?
0.4782
What is -4812.3163 rounded to the nearest 1000?
-5000
Round 8283.2186 to 0 decimal places.
8283
Round -0.13964627 to 2 decimal places.
-0.14
Round 0.0538491999 to one dp.
0.1
Round -2.4827124 to two dps.
-2.48
What is -0.007311095452 rounded to three decimal places?
-0.007
Round -0.00124031736 to 6 dps.
-0.00124
Round 8092107.618 to the nearest 100000.
8100000
Round 2678505.8 to the nearest 10000.
2680000
Round 2.5125406 to 2 dps.
2.51
Round 153.3498068 to 2 decimal places.
153.35
What is 15486200.9 rounded to the nearest 10000?
15490000
Round -40538.614 to the nearest 100.
-40500
What is 589.38249 rounded to 0 decimal places?
589
Round 0.005412187519 to 5 dps.
0.00541
Round -39.48775382 to 2 dps.
-39.49
Round -147822799.6 to the nearest one hundred thousand.
-147800000
Round -2.739721 to 2 dps.
-2.74
What is 170.98786 rounded to 2 decimal places?
170.99
What is -18752741.84 rounded to the nearest 100000?
-18800000
What is 3.55936223 rounded to 2 dps?
3.56
What is 34.08719299 rounded to 1 decimal place?
34.1
What is 103431884 rounded to the nearest one hundred thousand?
103400000
What is -0.01092512177 rounded to 6 decimal places?
-0.010925
Round -0.0000020531619 to 7 decimal places.
-0.0000021
What is 35788.2164 rounded to the nearest 10?
35790
What is 0.0000642715571 rounded to six decimal places?
0.000064
Round 2461.116705 to zero dps.
2461
What is -1643801110.5 rounded to the nearest one million?
-1644000000
What is 0.0001422502018 rounded to 5 decimal places?
0.00014
Round -0.0304922458 to 3 decimal places.
-0.03
Round -54261.74 to the nearest 10.
-54260
Round -16980646.8 to the nearest one million.
-17000000
Round -4132826.33 to the nearest one hundred thousand.
-4100000
Round 24346659 to the nearest one million.
24000000
Round -14101.7603 to the nearest 10.
-14100
What is -789611.423 rounded to the nearest 10000?
-790000
Round -0.000483341947 to 5 dps.
-0.00048
What is -0.0000065883763 rounded to six decimal places?
-0.000007
What is 20.35143049 rounded to zero dps?
20
Round 0.0209599328 to 2 decimal places.
0.02
Round -573.114962 to 0 decimal places.
-573
What is -28336079.7 rounded to the nearest 1000000?
-28000000
Round -0.0024617935 to 4 decimal places.
-0.0025
Round 17817.2314 to the nearest one thousand.
18000
What is 137384.583 rounded to the nearest 100?
137400
What is -0.050680625 rounded to five dps?
-0.05068
What is 0.00251786388 rounded to three dps?
0.003
What is 3217007.2 rounded to the nearest one hundred thousand?
3200000
Round 1247.61475 to the nearest 100.
1200
Round -0.00001996557795 to six decimal places.
-0.00002
What is -10164.2198 rounded to the nearest 10?
-10160
Round 0.00001291569403 to 7 decimal places.
0.0000129
What is -4399.557427 rounded to the nearest one hundred?
-4400
Round -0.00055813243 to 7 decimal places.
-0.0005581
Round 0.1151639 to 4 dps.
0.1152
Round 0.1440169 to 1 decimal place.
0.1
What is 9739521.347 rounded to the nearest 1000?
9740000
Round -0.275728988 to one dp.
-0.3
What is -0.001419945319 rounded to four dps?
-0.0014
Round -0.022072363 to 6 decimal places.
-0.022072
What is 0.044127547 rounded to five decimal places?
0.04413
What is 23.756545 rounded to two dps?
23.76
Round 0.0145294062 to 3 dps.
0.015
What is 139263.077 rounded to the nearest one hundred?
139300
What is 0.0400004035 rounded to five decimal places?
0.04
Round 315113065 to the nearest 1000000.
315000000
Round 1.359692779 to four dps.
1.3597
Round -0.581696833 to 5 dps.
-0.5817
What is -22700593530 rounded to the nearest one million?
-22701000000
Round -461515183.5 to the nearest 10000.
-461520000
What is -64370.1863 rounded to the nearest one hundred?
-64400
What is -6957.12171 rounded to the nearest 1000?
-7000
Round 19807509700 to the nearest one million.
19808000000
What is 3046.9325 rounded to the nearest 10?
3050
What is -56266350.8 rounded to the nearest 10000?
-56270000
Round -346.0575617 to zero dps.
-346
What is -21.0913274 rounded to three decimal places?
-21.091
Round 3173.0013 to the nearest 1000.
3000
What is 50360.881 rounded to the nearest 10?
50360
What is -0.0253248665 rounded to 4 dps?
-0.0253
Round -0.023482064 to 2 dps.
-0.02
Round -67670.0607 to the nearest ten.
-67670
What is 16946898.4 rounded to the nearest ten thousand?
16950000
Round 0.00107497338 to 5 dps.
0.00107
What is -2855630.17 rounded to the nearest one thousand?
-2856000
Round -0.00128761047 to 5 decimal places.
-0.00129
Round -731701.485 to the nearest one hundred.
-731700
What is -2903.577777 rounded to the nearest 1000?
-3000
Round 14443.21912 to 0 dps.
14443
What is -174031750 rounded to the nearest one million?
-174000000
What is -1.130789831 rounded to the nearest integer?
-1
What is 18624.45442 rounded to the nearest 100?
18600
Round 114296440 to the nearest 1000000.
114000000
Round -5769.61315 to 0 decimal places.
-5770
What is -43343.121 rounded to the nearest 1000?
-43000
Round 0.00652906045 to 4 decimal places.
0.0065
What is -672637.281 rounded to the nearest ten thousand?
-670000
What is 0.0030615545 rounded to 5 decimal places?
0.00306
Round 113558807 to the nearest one million.
114000000
What is -74.4852101 rounded to 2 decimal places?
-74.49
Round -0.00114800864 to 7 dps.
-0.001148
What is -0.0001928483362 rounded to 5 dps?
-0.00019
Round -0.002400990855 to 6 decimal places.
-0.002401
Round -0.07712758739 to 6 decimal places.
-0.077128
What is -1680.23884 rounded to the nearest one hundred?
-1700
What is -17488.2281 rounded to the nearest ten?
-17490
Round -0.0000560091783 to 7 decimal places.
-0.000056
What is 0.00008872124 rounded to 5 dps?
0.00009
Round -7222.07 to the nearest 10.
-7220
Round 1553.5165833 to the nearest 100.
1600
Round 4674821.2 to the nearest 1000.
4675000
Round 0.0000136282521 to six dps.
0.000014
What is -454816.64 rounded to the nearest 10000?
-450000
Round 3768123.098 to the nearest one thousand.
3768000
Round -0.000008147816381 to six dps.
-0.000008
Round -11683.54644 to the nearest 1000.
-12000
Round -1.58452083 to one decimal place.
-1.6
What is -0.112566489 rounded to 3 decimal places?
-0.113
Round -0.223728452 to four dps.
-0.2237
Round 845439.12 to the nearest 100.
845400
What is 0.0000978113865 rounded to 7 decimal places?
0.0000978
Round -101473.2175 to the nearest one thousand.
-101000
What is 0.84117229 rounded to five decimal places?
0.84117
What is 0.00290262046 rounded to 4 dps?
0.0029
Round 0.000000316053873 to seven dps.
0.0000003
What is 2695534073 rounded to the nearest 100000?
2695500000
What is -0.0000229698116 rounded to seven dps?
-0.000023
Round 0.0444267354 to 6 dps.
0.044427
What is -337203.89 rounded to the nearest one thousand?
-337000
What is 13370245.8 rounded to the nearest 10000?
13370000
Round -9942130.52 to the nearest one hundred thousand.
-9900000
Round -385039.822 to the nearest ten.
-385040
Round 45546.459 to the nearest 100.
45500
What is -3644.304 rounded to the nearest ten?
-3640
What is 0.0000289245294 ro | {
"pile_set_name": "DM Mathematics"
} |
-1921.6. Let p = o - w. Round p to the nearest ten.
60
Suppose -1824*o = -1834*o - 54290000. Round o to the nearest ten thousand.
-5430000
Let j = 1182.8 + -1182.79942545. What is j rounded to four dps?
0.0006
Let k = 1431 - 1382.68. Let v = 23.18 - k. Let r = -24 - v. Round r to one dp.
1.1
Let s be (-27040)/(7 + 18886/(-6300) + (-4)/1). What is s rounded to the nearest 1000000?
-12000000
Let n = -1978.083 - -1977. Let i = n - 373.617. Round i to the nearest ten.
-370
Suppose -21 = -5*b - x, -2*b - 4*x = -6*b + 12. Suppose 0 = a - 3*w + 12, -a + 3*a - b = -w. Let u be 20/(-1 - a)*-406. Round u to the nearest one thousand.
8000
Let r = 362 - 358. Suppose -4*g - 3*f = 8383633 - 72423633, r*f + 64040000 = 4*g. Round g to the nearest 1000000.
16000000
Let l = 6261.0762 + -5723.075318. Let p = -538 + l. Round p to 4 decimal places.
0.0009
Let a(v) = -8*v - 3230. Suppose -19*p = -12*p. Let k be a(p). What is k rounded to the nearest 100?
-3200
Let z = 637089 - 637093.042765. Let q = z - 271.980135. Let k = -276 - q. What is k rounded to 3 decimal places?
0.023
Let h = 2171.496 + 3.504. Let z = h - 2405.9. What is z rounded to the nearest 10?
-230
Let w = -0.14618 + -1.79682. Round w to the nearest ten.
0
Let a = 285.3 - 239.208. What is a rounded to zero dps?
46
Let o = -424 - -445. Let u(s) = -8361*s + 181. Let f be u(o). Round f to the nearest 10000.
-180000
Let o be (89*11)/(3/5331). Let p = o + -425359. Suppose -480676 - p = 5*w. Round w to the nearest ten thousand.
-360000
Let c = -16 - -17.3. Let w = 87005 + -87003.70006. Let l = c - w. Round l to four decimal places.
0.0001
Let k(p) = p**3 - 12*p**2 - 15*p - 8. Let d be k(7). Let l = -997 - -55. Let w = d + l. Round w to the nearest one thousand.
-1000
Let o = 7.3771 + -7.37675417. What is o rounded to five dps?
0.00035
Let z = -37.776 - -38. Let t = 55.376 - 79. Let b = t + z. Round b to zero decimal places.
-23
Suppose 5*m = m + 24. Let t(s) = 593*s**3 + 13*s**2 - 25*s - 6. Let u be t(m). What is u rounded to the nearest ten thousand?
130000
Let w = 1336.775 + -2.775. Let j = 2852.23836438 + -1518.23835617. Let o = w - j. Round o to 7 decimal places.
-0.0000082
Let q = -39 + 43. Let a(z) = z**3 + 6*z - 3*z**3 - 8*z + q + 15*z**2 + 1. Let x be a(-7). Round x to the nearest one thousand.
1000
Let c = 552.00999896828 - 552.01. What is c rounded to seven dps?
-0.000001
Let q be 64986014/2 + (((-3024)/12)/(-18))/(-2). What is q rounded to the nearest 100000?
32500000
Suppose m + 4 + 9 = 12. Suppose 0 = 3*x - 0*x - 12. Let k be (-5 + x)*2 - (-233 - m). Round k to the nearest one hundred.
200
Let n = 17991.1265 + -17992. What is n rounded to one decimal place?
-0.9
Let y = -49494.00082796 - -49494. Round y to 5 dps.
-0.00083
Let s = -476803.0919 - 2.9081. Let m = s + 476806.0228227. Let l = 0.0228 - m. Round l to 6 decimal places.
-0.000023
Let k(n) = -n**2 + 8*n + 19. Let p = 9 - -1. Let s be k(p). Let g be (-6)/(-8)*(s + 21) - -3. Round g to the nearest ten.
20
Let r = 360616302.89469174 - 360616319. Let d = r - 8.89468618. Let y = -25 - d. Round y to 7 decimal places.
-0.0000056
Let q = 1321147 - 3022247. What is q rounded to the nearest ten thousand?
-1700000
Let w = 36969.0000061316 + -36969. What is w rounded to six dps?
0.000006
Let k(i) = -i**3 + 15*i**2 - 7*i - 2. Suppose -6 + 2 = 2*r, -r - 14 = s. Let z be k(s). Round z to the nearest 100.
4000
Suppose -5*r - 15 = 0, 0 = 3*k + 5*r - r - 73053. Let f = -9865 + k. Suppose 5*d + 2*a = -f, 2880 = -d - a - 3*a. What is d rounded to the nearest one thousand?
-3000
Let v = -43 - 2. Let d = v - 51. Let k = -95.99999887 - d. Round k to seven dps.
0.0000011
Let j = 30 + -42. Let u = j + -23. Let q = 34.999788 + u. Round q to 5 dps.
-0.00021
Suppose -3*g + 20226 = -5*h + 717311, 4*h = 5*g + 1161778. What is g rounded to the nearest ten thousand?
-230000
Suppose -5*g - 7777 = 2*k, 4*g - 13541 = 4*k + 1943. What is k rounded to the nearest 1000?
-4000
Let q = -278.9 - 46.1. Let a = q - -325.000087. Round a to 5 dps.
0.00009
Let b = -498.013786 + 513.414. Let l = 3.4 - 18.8. Let a = b + l. Round a to 5 decimal places.
0.00021
Let b = 2159 + -2172.57. What is b rounded to 0 decimal places?
-14
Let o(k) = -56*k**3 + 5*k**2 + 37*k + 14. Let d be o(-5). What is d rounded to the nearest 1000?
7000
Let p = -271 + 269.972. Let n = 0.6508 + p. Round n to two dps.
-0.38
Suppose 2*y - 5*d = -6572794, -2*y - 5*d + 3535910 - 10108684 = 0. Let u be y/(-52) + (-48)/26 + 2. Round u to the nearest ten thousand.
60000
Suppose -3*h + 43*q + 1066188 = 47*q, -3*q - 9 = 0. What is h rounded to the nearest 10000?
360000
Let o = 0.4068166 - -3.113275. Let q = o - 3.52. Round q to 5 dps.
0.00009
Let w = -0.337 + -191.563. Let b = -200.95867 - 0.04133. Let p = b - w. What is p rounded to 0 decimal places?
-9
Let a = 602 - 606.81. Let x = -4.80998754 - a. What is x rounded to 6 decimal places?
0.000012
Suppose -b + 5*b - 8 = 0, o = -b - 8. Let f be (-5676018)/(-60) + 3/o. What is f rounded to the nearest 10000?
90000
Let s(w) be the second derivative of -12941*w**3/6 + 56*w**2 - 2*w - 11. Let f be s(32). What is f rounded to the nearest ten thousand?
-410000
Let k = 324 + -295. Let g = k - 29.000234. What is g rounded to 5 decimal places?
-0.00023
Let i = -5034 - -5034.10924. What is i rounded to 2 decimal places?
0.11
Let i = 1180084 + -518384. Round i to the nearest 100000.
700000
Let q = 0.554 - -0.006. Let i = q + -44.56. Let t = 43.9925 + i. Round t to three dps.
-0.008
Let c = 0.4329 - 0.432903692. Round c to seven decimal places.
-0.0000037
Let q = -56.74 - -7.4. Round q to the nearest one hundred.
0
Let n(i) be the third derivative of -13999993*i**4/24 - i**3/2 - 8*i**2. Let g be n(1). Let b be -3 - 6*g/(-8). What is b rounded to the nearest 1000000?
-11000000
Let g = -100443 - -100021.53. Let w = 418.94178 + 0.05822. Let x = g + w. Round x to 1 decimal place.
-2.5
Let z = 0.027789 - 5.517989. What is z rounded to the nearest integer?
-5
Let h = 145.700729 - 145.71. Round h to 4 dps.
-0.0093
Let q = 0.03284 - -2.18966. Round q to 2 decimal places.
2.22
Let i = -0.115 - -0.154. Let u = -1418069.03900095 - -1418069. Let b = u + i. What is b rounded to 7 dps?
-0.000001
Let g = -2380 - -2380.000000852. Round g to 6 decimal places.
0.000001
Let s(v) = 58835*v - 2735. Let y be s(41). Round y to the nearest ten thousand.
2410000
Let q = -0.25 + 7.45. Let c = q + 125.8. Let z = c - 132.867. What is z rounded to 2 dps?
0.13
Let a = 2.41119 + 35.58909. Let d = -37.967 + -0.033. Let h = d + a. What is h rounded to 4 dps?
0.0003
Let y = 25711.724 + -25772. Let r = y - -60. Let m = 0.276343 + r. What is m rounded to 4 decimal places?
0.0003
Let j = 543 + -47. Let o = 495.9334 - j. Round o to two dps.
-0.07
Let j = -0.0385 - 0.1362. Round j to 2 decimal places.
-0.17
Let s = 37.3 + 7.7. Let j = s - 44.76. Let a = 0.23999704 - j. Round a to 7 dps.
-0.000003
Let g = 271.420458 + -262.4205. Let v = 13.23 + -4.23. Let o = v - g. Round o to five decimal places.
0.00004
Let o = -59 + 60.5. Let w = 0.48 - o. Let b = w - -1.0201125. Round b to 5 decimal places.
0.00011
Let b = -59227956 - -25661956. Let h be (-1 - (6 + -2))/((-13)/b). Round h to the nearest 100000.
-12900000
Let f = 51.7743 + 0.2957. Let w = -51.7053 + f. What is w rounded to two decimal places?
0.36
Let y = 90.7492 - -0.0508. Let n = y + -90.7579. Let t = 0.042694 - n. What is t rounded to five decimal places?
0.00059
Let x = 3.666 - 3. Let t = -439 - -439.57. Let c = t - x. Round c to 2 decimal places.
-0.1
Let w = 0.006136091 + -0.00611. What is w rounded to 6 dps?
0.000026
Let b = -11590.022838 + 11590. What is b rounded to three decimal places?
-0.023
Let n(j) = j**3 + 12*j**2 + 14*j + 47. Let r be n(-11). Suppose 4*b + 4 = 0, 13*b - 5040001 = -t + r*b. Round t to the nearest one hundred thousand.
5000000
Let t = 19.4672816 - 41.3869418. Let a = t - -21.92. Round a to five decimal places.
0.00034
Let j = 5043.991431 + -5044. Round j to three decimal places.
-0.009
Let p = 179 - 163. Suppose p*i = -80949 + 19829. Round i to the nearest one thousand.
-4000
Let r = -4283 + 4283.00020616. Round r to 4 dps.
0.0002
Let u = -4012.8567 + 4011.2. What is u rounded to 2 decimal places?
-1.66
Let r = 730654 - 357348. Let y | {
"pile_set_name": "DM Mathematics"
} |
-3*p + 2 = -4. Suppose -3*n + p*n + 10 = 0. Is -2 + (-5)/5 + n a multiple of 2?
False
Let r = 293 + 7. Let q = 434 - r. Is q a multiple of 17?
False
Let b = 49 + -49. Suppose -2*f = -b - 84. Is f even?
True
Let t(w) = -885*w + 125. Let k be t(-3). Suppose k = 1037*z - 1035*z. Does 24 divide z?
False
Let b(q) = -q**2 + q + 1. Let r(i) = 5*i**2 + 9*i - 34. Let l(t) = 4*b(t) + r(t). Does 10 divide l(7)?
True
Let l = -9346 - -9783. Does 2 divide l?
False
Let s(r) = 6*r + 54. Let x be (-5)/(-3)*(5 + -11 - -27). Suppose x = -7*h - 0*h. Is s(h) a multiple of 10?
False
Suppose 5*u - 7733 = -4*c, c + 288 - 290 = 0. Is 13 a factor of u?
False
Let a(r) = r**3 + 9*r**2 - 8*r + 19. Let x be a(-10). Let j be 4 - (x - (2 - 2)). Suppose 0 = -j*i + 6 + 4, -5*q - 5*i + 135 = 0. Is 5 a factor of q?
True
Let u = 8404 + -2180. Is u a multiple of 8?
True
Let a(x) = -x**2 + 13*x + 3. Let o be a(13). Suppose f + 5*t + 24 = 0, -4*f - 8 = f - o*t. Does 4 divide (f/((-12)/57))/1?
False
Let y(j) = 24 + 18*j - 19*j + 5*j. Suppose -2*z - 5 = -29. Is 36 a factor of y(z)?
True
Let n(u) = -119*u. Let o be n(-2). Suppose 33*c + 1345 = -4067. Let j = c + o. Does 21 divide j?
False
Let k(j) = -10*j - 237. Let z be k(-24). Let y(t) = 299*t + 38. Is 11 a factor of y(z)?
True
Let x = 257 + 567. Does 30 divide x?
False
Suppose -5*y - 3*d + 0*d = -2, -5*y - 4*d + 1 = 0. Suppose 0 = 5*s + 2*r - 227, -y = r - 2. Is 45 a factor of s?
True
Let x = -35 + 40. Suppose -5*v - x*g - 240 = 0, 2*v = -g - 140 + 46. Let f = -21 - v. Is f a multiple of 12?
False
Let n(d) = -d**3 + 37*d**2 + 49*d - 351. Is n(35) a multiple of 185?
False
Suppose 3*r - 4*o - 343 = 0, -4*r + 100 = o - 332. Let q = r + 129. Is 50 a factor of q?
False
Suppose 249293 = 19*a - 218278. Is 172 a factor of a?
False
Let f(m) = m**3 - 13*m**2 + 15*m + 9. Let k be f(11). Let g = 50 - k. Is g a multiple of 3?
False
Suppose -3*l = -131*k + 136*k - 13472, 13469 = 3*l + 2*k. Does 18 divide l?
False
Suppose -4*i + 5195 = x, 3*x - 3*i = x + 10445. Does 149 divide x?
True
Let z(v) = -2*v**3 - 40*v**2 + 34*v - 22. Let a(i) = i**3 + 20*i**2 - 17*i + 11. Let n(b) = 5*a(b) + 3*z(b). Is 2 a factor of n(-21)?
False
Suppose 204 = h + 11*h. Suppose h*x + 3 = 18*x. Suppose 0*d - x*k - 399 = -3*d, -d + 137 = -2*k. Is 43 a factor of d?
True
Suppose 0 = 2*k + 5*j - 20, 4*k + 12 = -0*k + 3*j. Suppose 12*a + 241 - 2833 = k. Is 72 a factor of a?
True
Let s(w) = -w + 13. Let r be s(9). Suppose -2*u - 380 = 5*a + 3*u, 0 = r*a + u + 301. Does 4 divide (-4)/8*1 - a/6?
True
Suppose -2749 - 2940 = -36*o + 5435. Is o a multiple of 3?
True
Suppose 2 = 6*g - 4. Let f(h) = 5*h + 1. Let a be f(g). Suppose -2*n - 560 = -a*n. Is n a multiple of 28?
True
Suppose 68428 = 3*h + 985*x - 987*x, 5*x = -25. Is 181 a factor of h?
True
Let o(q) = 6*q + 100. Let s be (-75)/(-6)*4/10*96. Let m be 4/(-30) + 64/s. Is 25 a factor of o(m)?
True
Suppose -h + 0*h = -k - 73, 0 = -3*k - 5*h - 203. Let l = 37 - k. Suppose -5*r = -l - 92. Does 11 divide r?
False
Let n(i) = 8*i + 128. Let h be 8/18 - (-6466)/477. Is n(h) a multiple of 20?
True
Let y be 2 - (4 + -8 - 0). Suppose 14*q = 15*q - y. Suppose 60 = q*p - 6. Is 11 a factor of p?
True
Let p(o) = 9 - 16*o + 36*o - 21*o. Let w be p(6). Suppose -10 = -w*u + 152. Is 9 a factor of u?
True
Is (-25)/(-175) + (-98446)/(-14) a multiple of 12?
True
Let v(q) = -15*q + 8. Let z be v(-2). Let i be (z*2)/(-4 + (-190)/(-45)). Suppose 0*o - 2*g = -4*o + 458, 3*o - i = 2*g. Is 21 a factor of o?
False
Suppose 0 = -100*h + 99*h + 2*r + 15408, -138672 = -9*h - 3*r. Is h a multiple of 144?
True
Let m be (-2 - (-192)/9)/(6/(-18)). Let b = 37 + m. Is 5 a factor of ((-112)/b)/(4/18)?
False
Let v = 106 + 159. Suppose 0 = -4*u + 397 - v. Is 11 a factor of u?
True
Let y(h) = -13*h**2 - 5 - 9*h + 15*h + 12*h**2. Does 4 divide y(3)?
True
Let z(b) = 1274*b**2 + 18*b - 17. Let y = 133 + -132. Does 25 divide z(y)?
True
Suppose 13776 = -78*a + 99*a. Is a a multiple of 164?
True
Let a(h) = -h**3 - 22*h**2 + 2*h - 54. Let u be a(-22). Is (19/2)/(581/u + 6) a multiple of 19?
True
Let l(k) be the third derivative of 121*k**4/24 + 46*k**3/3 - 30*k**2. Does 16 divide l(4)?
True
Let b(s) = -s**3 - 10*s**2 - 11*s - 13. Let n be b(-9). Suppose 2*f = -w + 178, 3*w - n*f - 584 = -f. Does 14 divide w?
False
Does 55 divide 53904/7 - ((-48)/84)/(-1)?
True
Let n = -59 + 101. Suppose -2*z - 5*m + n - 2 = 0, 2*z - m - 16 = 0. Does 10 divide (-39)/65 - (-1726)/z?
False
Let h be 6 - (3 + 4) - -35. Let r = 39 + h. Is 6 a factor of r?
False
Suppose -319 + 85 = -3*s + 3*m, -2*s - 2*m = -136. Let h = 479 + s. Does 23 divide h?
True
Let o(v) = -v**3 + v**2 + 22*v + 15. Let t be o(5). Suppose 0 = -3*k - 19 + t, -3*w - 5*k + 1540 = 0. Does 17 divide w?
True
Let u = 1053 - 1034. Suppose 3798 + 5322 = u*b. Is b a multiple of 30?
True
Is 5 a factor of 24/(-60)*(-36940)/8?
False
Let n be 37/74*10*1. Suppose -31*a - 2*o = -32*a + 360, -5*a + 1825 = -n*o. Does 27 divide a?
False
Suppose -60*t + 641223 + 1809330 = 587013. Does 9 divide t?
True
Suppose 0 = 5*p - 244 - 186. Let k = -55 + p. Is k a multiple of 6?
False
Let k be (-10)/3*(-36)/30. Suppose 2*o - 6 = -0*o + w, -5*o - 2*w + 6 = 0. Suppose 4 = o*j, -k*v = v + 4*j - 388. Does 10 divide v?
False
Suppose -4*q + 24 = 4. Let x be (2/6)/(q*(-6)/(-540)). Does 23 divide ((x - 11)/5)/(2/(-368))?
True
Let q = -20 + -41. Let b = -57 - q. Suppose 7 = -b*g - 9, 0 = y + 5*g - 20. Is y a multiple of 13?
False
Let j = 5705 + 4771. Does 54 divide j?
True
Suppose m = -4*m - 40. Let o(y) = -y**3 + 12*y**2 - 30*y - 15. Let s be o(8). Is -30*((-12)/m - (3 - s)) a multiple of 9?
False
Let j = -31 - -34. Let c(b) = j*b**2 + 3 + 0*b - 14 - b. Is 9 a factor of c(5)?
False
Let i(z) = 29*z - 57. Let h(t) = 15*t - 29. Let y(w) = 13*h(w) - 6*i(w). Let v be y(9). Let x = v - 100. Is x a multiple of 9?
True
Let a be (-4)/(-4*(-2)/68). Let d(t) = 3*t**3 - 22*t**2 + 12*t - 31. Let m be d(7). Let h = m - a. Is 14 a factor of h?
False
Let u be 1/3 - ((-19346)/6)/17. Suppose i - 11*i = -u. Is i a multiple of 7?
False
Let l = 86 + -15. Suppose -2*j - 306 = 6*i - i, 3*j = -5*i - 309. Let s = l + i. Is s a multiple of 3?
False
Let a = -102 - -104. Suppose -g + 29 = -4*l, 5*l + 15 - 34 = -a*g. Does 6 divide (-292 - g)*1/(-3)?
False
Is 67 a factor of -9 - 5254580/(-110) - ((-90)/22 + 4)?
False
Let z(f) = f**2 + 21*f + 101. Let g be z(-14). Suppose -4 = 10*u - 9*u, 557 = g*q + u. Is q even?
False
Is 33484/33 + 1 + (-4)/6 a multiple of 29?
True
Suppose 4*g - 4*o - 958 - 1186 = 0, -4*g + 3*o + 2148 = 0. Suppose 0 = -10*f + 20*f - g. Is 5 a factor of f?
False
Let x(n) = -13*n - 25. Let u be x(-4). Let a be (-16)/(-9) - (-6)/u. Suppose 0*q - a*q + 440 = 0. Is 36 a factor of q?
False
Let s = -466 - -468. Suppose s*o + 1115 = p + 5*o, -2*o = 5*p - 5640. Is p a multiple of 30?
False
Let g(u) be the second derivative of u**5/20 - 7*u**4/12 - 8*u**3/3 + 57*u**2/2 + 13*u - 6. Does 19 divide g(10)?
False
Let f be 10/2 - (1 - -2). Let w be (-148)/112*-4 + f/(-7). Suppose -w*r = 4*d + d - 90, 0 = 5*r. Does 12 divide d?
False
Let f = 1333 - 720. Suppose -6*d = -f + 121. Suppose 0*k + 283 = 4*m - 5*k, 0 = -m - k + d. Does 7 divide m?
True
Let f = 101 + -71. Let i be 7 + f + (-2 - 2). Suppose 552 = -29*w + i*w. Is w a multiple of 46?
True
Suppose 2*x - 4*i - 84 = -0*x, 3*i - 197 = -5*x. Let u(a) = -3*a**2 + 3*a - 940. Let j be u(0). Is j/(-6) - x/60 a multiple of 12?
True
Suppose -8*k = -78 - 4490. Suppose -23*m + k = 4*f - 20*m, 4*f - 595 = 5*m. Does 7 divide f?
False
Let g be (3/2)/(2/4). Let n(d) = 3*d**2 - 6*d**2 - 1 + 4*d**2 - 5080*d + 5080*d. Is n(g) a multiple of 7?
False
Let d be (-2)/(-3) - (-9)/((-54)/22). Does 38 divide (303 - (-25)/(-5)) + d?
False
Let j(b) = 27*b**2 + 1559*b - 122. Is j(-61) a multiple of 43?
True
Let n(y) be the first derivative of -y**4/4 + 28*y**3/3 - 44*y**2 - 61*y + 27. Does 4 divide n(23)?
True
Suppose 0 = 20*w - 19*w - 4. Let f be (w/(-6))/((-14)/(-21)). Is (-97)/(3 - 4) + f a multiple of 17?
False
Let w = -32 + 32. Suppose r - 2 + 6 = w. Is (-9)/(-4)*4 + r a multiple of 3?
False
Let h = -6355 - -6764. Is 3 a factor of h?
False
Let q(g) = 163*g - 2632. Is q(18) a multiple of 5?
False
Let n(r) = 4185*r + 6420. Is n(3) a multiple of 55?
True
Let j = 3 | {
"pile_set_name": "DM Mathematics"
} |
?
0
What is the hundred thousands digit of 8285814?
2
What is the thousands digit of 7194090?
4
What is the hundreds digit of 666807?
8
What is the units digit of 201872?
2
What is the units digit of 1688572?
2
What is the hundred thousands digit of 385542?
3
What is the units digit of 185992?
2
What is the hundred thousands digit of 4916056?
9
What is the ten thousands digit of 54902?
5
What is the thousands digit of 22003?
2
What is the hundred thousands digit of 4148317?
1
What is the ten thousands digit of 1041700?
4
What is the thousands digit of 38493?
8
What is the ten thousands digit of 1934680?
3
What is the tens digit of 455092?
9
What is the units digit of 274805?
5
What is the hundreds digit of 308865?
8
What is the units digit of 175742?
2
What is the millions digit of 34915271?
4
What is the hundreds digit of 2771552?
5
What is the ten thousands digit of 40973?
4
What is the millions digit of 1331980?
1
What is the units digit of 346393?
3
What is the hundred thousands digit of 7232971?
2
What is the hundred thousands digit of 563049?
5
What is the units digit of 331005?
5
What is the thousands digit of 447656?
7
What is the tens digit of 207143?
4
What is the units digit of 9422005?
5
What is the thousands digit of 4563043?
3
What is the hundreds digit of 2949814?
8
What is the units digit of 6824157?
7
What is the tens digit of 7813941?
4
What is the tens digit of 93828?
2
What is the hundreds digit of 1419743?
7
What is the thousands digit of 3892738?
2
What is the hundreds digit of 10637315?
3
What is the hundreds digit of 5701393?
3
What is the units digit of 536929?
9
What is the ten thousands digit of 15030525?
3
What is the thousands digit of 256251?
6
What is the ten thousands digit of 450634?
5
What is the tens digit of 2610411?
1
What is the tens digit of 864619?
1
What is the hundred thousands digit of 558092?
5
What is the millions digit of 1066204?
1
What is the tens digit of 98982?
8
What is the hundreds digit of 14519421?
4
What is the ten thousands digit of 50259?
5
What is the units digit of 9421782?
2
What is the tens digit of 53390?
9
What is the hundreds digit of 24645213?
2
What is the units digit of 1199401?
1
What is the hundreds digit of 321698?
6
What is the thousands digit of 71427?
1
What is the hundred thousands digit of 1000515?
0
What is the hundreds digit of 513513?
5
What is the tens digit of 438?
3
What is the hundreds digit of 5471877?
8
What is the units digit of 133143?
3
What is the millions digit of 1417885?
1
What is the thousands digit of 18358147?
8
What is the units digit of 2228686?
6
What is the hundreds digit of 3424599?
5
What is the units digit of 98991?
1
What is the tens digit of 18228532?
3
What is the ten thousands digit of 263132?
6
What is the tens digit of 41941?
4
What is the hundred thousands digit of 2231226?
2
What is the hundred thousands digit of 2734664?
7
What is the thousands digit of 107260?
7
What is the ten thousands digit of 92912?
9
What is the ten thousands digit of 2042880?
4
What is the hundreds digit of 376715?
7
What is the units digit of 273315?
5
What is the millions digit of 2890934?
2
What is the hundreds digit of 84108?
1
What is the hundred thousands digit of 2599238?
5
What is the hundreds digit of 229426?
4
What is the units digit of 616764?
4
What is the hundreds digit of 617270?
2
What is the tens digit of 5659067?
6
What is the ten thousands digit of 8419438?
1
What is the ten thousands digit of 148543?
4
What is the hundred thousands digit of 895297?
8
What is the hundreds digit of 1303470?
4
What is the units digit of 149685?
5
What is the ten thousands digit of 27017291?
1
What is the tens digit of 2605171?
7
What is the ten thousands digit of 3664528?
6
What is the ten thousands digit of 3304398?
0
What is the hundreds digit of 368176?
1
What is the ten thousands digit of 32441?
3
What is the tens digit of 64509?
0
What is the tens digit of 706936?
3
What is the thousands digit of 7338099?
8
What is the thousands digit of 13061?
3
What is the units digit of 14356220?
0
What is the millions digit of 20874897?
0
What is the hundreds digit of 190628?
6
What is the ten thousands digit of 10941531?
4
What is the hundreds digit of 354483?
4
What is the units digit of 760893?
3
What is the units digit of 35107?
7
What is the hundred thousands digit of 4385875?
3
What is the thousands digit of 500309?
0
What is the ten thousands digit of 2145729?
4
What is the ten thousands digit of 82144?
8
What is the tens digit of 4120459?
5
What is the tens digit of 2739460?
6
What is the hundreds digit of 11420181?
1
What is the tens digit of 18258454?
5
What is the units digit of 5220676?
6
What is the thousands digit of 5362195?
2
What is the thousands digit of 182094?
2
What is the hundreds digit of 3134043?
0
What is the thousands digit of 33452891?
2
What is the thousands digit of 3802799?
2
What is the hundreds digit of 226522?
5
What is the ten thousands digit of 5172053?
7
What is the hundreds digit of 111262?
2
What is the ten millions digit of 24681319?
2
What is the tens digit of 1832662?
6
What is the millions digit of 9626547?
9
What is the ten thousands digit of 49497?
4
What is the ten thousands digit of 1307181?
0
What is the hundreds digit of 573800?
8
What is the ten thousands digit of 5591080?
9
What is the thousands digit of 269598?
9
What is the units digit of 7135?
5
What is the tens digit of 2187967?
6
What is the ten thousands digit of 11082802?
8
What is the hundreds digit of 14174780?
7
What is the millions digit of 24396239?
4
What is the tens digit of 12686697?
9
What is the ten thousands digit of 3259617?
5
What is the hundreds digit of 7537301?
3
What is the hundred thousands digit of 2317784?
3
What is the tens digit of 1448804?
0
What is the thousands digit of 38457?
8
What is the thousands digit of 869349?
9
What is the hundred thousands digit of 1225864?
2
What is the hundreds digit of 49422?
4
What is the thousands digit of 26031778?
1
What is the units digit of 7483437?
7
What is the thousands digit of 130726?
0
What is the ten thousands digit of 528851?
2
What is the tens digit of 823719?
1
What is the units digit of 8730314?
4
What is the hundreds digit of 985777?
7
What is the hundred thousands digit of 1508906?
5
What is the units digit of 854519?
9
What is the thousands digit of 1229596?
9
What is the hundred thousands digit of 1641321?
6
What is the hundred thousands digit of 12887193?
8
What is the units digit of 21576?
6
What is the hundred thousands digit of 126912?
1
What is the hundred thousands digit of 2704329?
7
What is the thousands digit of 71570?
1
What is the hundred thousands digit of 706974?
7
What is the ten thousands digit of 162582?
6
What is the hundred thousands digit of 127745?
1
What is the hundreds digit of 251118?
1
What is the ten thousands digit of 321797?
2
What is the ten thousands digit of 12640720?
4
What is the ten thousands digit of 538728?
3
What is the hundred thousands digit of 7777092?
7
What is the units digit of 9418644?
4
What is the hundred thousands digit of 219605?
2
What is the units digit of 504070?
0
What is the tens digit of 6505418?
1
What is the hundreds digit of 1076529?
5
What is the tens digit of 132764?
6
What is the tens digit of 2292703?
0
What is the millions digit of 2433254?
2
What is the millions digit of 5125654?
5
What is the millions digit of 1269259?
1
What is the hundred thousands digit of 581470?
5
What is the ten thousands digit of 232235?
3
What is the tens digit of 94389?
8
What is the ten thousands digit of 1587430?
8
What is the hundreds digit of 17822008?
0
What is the millions digit of 21290772?
1
What is the hundreds digit of 161233?
2
What is the ten thousands digit of 684023?
8
What is the hundreds digit of 28029479?
4
What is the hundred thousands digit of 110716?
1
What is the tens digit of 1816366?
6
What is the hundreds digit of 10892591?
5
What is the thousands digit of 16289329?
9
What is the thousands digit of 244897?
4
What is the units digit of 3915574?
4
What is the tens digit of 583552?
5
What is the hundreds digit of 122139?
1
What is the units digit of 86478?
8
What is the hundreds digit of 721985?
9
What is the ten thousands digit | {
"pile_set_name": "DM Mathematics"
} |
hat is the thousands digit of 2614?
2
What is the units digit of 638?
8
What is the units digit of 123302?
2
What is the tens digit of 74712?
1
What is the tens digit of 2160?
6
What is the tens digit of 39?
3
What is the tens digit of 60?
6
What is the thousands digit of 2809?
2
What is the hundreds digit of 1345?
3
What is the thousands digit of 2866?
2
What is the thousands digit of 13624?
3
What is the thousands digit of 123528?
3
What is the ten thousands digit of 12472?
1
What is the units digit of 20643?
3
What is the thousands digit of 2557?
2
What is the tens digit of 3096?
9
What is the thousands digit of 3166?
3
What is the hundreds digit of 97092?
0
What is the units digit of 1603?
3
What is the tens digit of 495?
9
What is the thousands digit of 108336?
8
What is the hundreds digit of 318?
3
What is the hundreds digit of 5671?
6
What is the ten thousands digit of 31003?
3
What is the ten thousands digit of 29306?
2
What is the units digit of 2830?
0
What is the hundreds digit of 1899?
8
What is the units digit of 1156?
6
What is the hundreds digit of 2880?
8
What is the units digit of 2216?
6
What is the ten thousands digit of 88112?
8
What is the thousands digit of 61751?
1
What is the hundreds digit of 443?
4
What is the tens digit of 1216?
1
What is the units digit of 57415?
5
What is the tens digit of 1030?
3
What is the hundreds digit of 126292?
2
What is the thousands digit of 37153?
7
What is the units digit of 28188?
8
What is the tens digit of 28342?
4
What is the hundreds digit of 3479?
4
What is the units digit of 220?
0
What is the ten thousands digit of 115885?
1
What is the hundreds digit of 12655?
6
What is the hundreds digit of 2772?
7
What is the hundreds digit of 3305?
3
What is the thousands digit of 2002?
2
What is the hundreds digit of 24331?
3
What is the tens digit of 56026?
2
What is the units digit of 15949?
9
What is the thousands digit of 1913?
1
What is the tens digit of 4391?
9
What is the units digit of 8360?
0
What is the tens digit of 13539?
3
What is the hundreds digit of 3929?
9
What is the hundreds digit of 399?
3
What is the hundreds digit of 688?
6
What is the units digit of 13674?
4
What is the units digit of 3782?
2
What is the tens digit of 9203?
0
What is the units digit of 1109?
9
What is the units digit of 511?
1
What is the hundreds digit of 25591?
5
What is the thousands digit of 10670?
0
What is the units digit of 1349?
9
What is the tens digit of 14197?
9
What is the units digit of 16065?
5
What is the units digit of 1132?
2
What is the hundreds digit of 164?
1
What is the thousands digit of 3735?
3
What is the thousands digit of 3616?
3
What is the units digit of 3186?
6
What is the tens digit of 8024?
2
What is the tens digit of 86832?
3
What is the tens digit of 3568?
6
What is the hundreds digit of 4330?
3
What is the tens digit of 570?
7
What is the hundreds digit of 1139?
1
What is the thousands digit of 50703?
0
What is the ten thousands digit of 86911?
8
What is the ten thousands digit of 120472?
2
What is the thousands digit of 22368?
2
What is the hundreds digit of 1126?
1
What is the tens digit of 1617?
1
What is the hundreds digit of 3213?
2
What is the units digit of 7160?
0
What is the ten thousands digit of 58629?
5
What is the thousands digit of 2108?
2
What is the tens digit of 1279?
7
What is the hundreds digit of 31605?
6
What is the thousands digit of 22163?
2
What is the tens digit of 125?
2
What is the tens digit of 3133?
3
What is the units digit of 188?
8
What is the tens digit of 3683?
8
What is the hundreds digit of 23383?
3
What is the tens digit of 8207?
0
What is the units digit of 6500?
0
What is the hundreds digit of 11463?
4
What is the units digit of 135629?
9
What is the hundreds digit of 1114?
1
What is the tens digit of 14490?
9
What is the hundreds digit of 448?
4
What is the hundreds digit of 3390?
3
What is the units digit of 628?
8
What is the units digit of 1088?
8
What is the tens digit of 401?
0
What is the ten thousands digit of 43142?
4
What is the thousands digit of 1508?
1
What is the units digit of 2813?
3
What is the hundreds digit of 1335?
3
What is the ten thousands digit of 116246?
1
What is the units digit of 35906?
6
What is the ten thousands digit of 16026?
1
What is the units digit of 2196?
6
What is the units digit of 23217?
7
What is the units digit of 2949?
9
What is the hundreds digit of 2105?
1
What is the tens digit of 5805?
0
What is the ten thousands digit of 50605?
5
What is the units digit of 14126?
6
What is the tens digit of 62299?
9
What is the thousands digit of 41270?
1
What is the hundreds digit of 9183?
1
What is the tens digit of 19740?
4
What is the hundreds digit of 8748?
7
What is the units digit of 308?
8
What is the tens digit of 34620?
2
What is the tens digit of 105?
0
What is the tens digit of 869?
6
What is the hundreds digit of 21808?
8
What is the tens digit of 538?
3
What is the units digit of 38478?
8
What is the hundreds digit of 210?
2
What is the units digit of 1360?
0
What is the thousands digit of 2026?
2
What is the ten thousands digit of 11497?
1
What is the ten thousands digit of 20246?
2
What is the units digit of 6664?
4
What is the hundreds digit of 9721?
7
What is the thousands digit of 10294?
0
What is the hundreds digit of 28488?
4
What is the thousands digit of 16236?
6
What is the tens digit of 278?
7
What is the hundreds digit of 1031?
0
What is the units digit of 61273?
3
What is the tens digit of 217?
1
What is the hundreds digit of 914?
9
What is the tens digit of 30476?
7
What is the units digit of 4307?
7
What is the tens digit of 1984?
8
What is the thousands digit of 32258?
2
What is the thousands digit of 8622?
8
What is the thousands digit of 1017?
1
What is the ten thousands digit of 21596?
2
What is the hundreds digit of 345?
3
What is the thousands digit of 2538?
2
What is the tens digit of 26?
2
What is the thousands digit of 6067?
6
What is the hundreds digit of 5584?
5
What is the thousands digit of 41643?
1
What is the tens digit of 606?
0
What is the ten thousands digit of 53051?
5
What is the thousands digit of 6027?
6
What is the units digit of 3394?
4
What is the ten thousands digit of 56696?
5
What is the units digit of 7329?
9
What is the tens digit of 14?
1
What is the ten thousands digit of 124808?
2
What is the tens digit of 123103?
0
What is the units digit of 607?
7
What is the thousands digit of 4270?
4
What is the thousands digit of 2813?
2
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6
What is the thousands digit of 2898?
2
What is the ten thousands digit of 31675?
3
What is the units digit of 10190?
0
What is the units digit of 225?
5
What is the tens digit of 1253?
5
What is the thousands digit of 11151?
1
What is the thousands digit of 2067?
2
What is the hundreds digit of 1461?
4
What is the tens digit of 31860?
6
What is the units digit of 452?
2
What is the hundreds digit of 506?
5
What is the hundreds digit of 1394?
3
What is the thousands digit of 27028?
7
What is the units digit of 2975?
5
What is the hundreds digit of 848?
8
What is the hundreds digit of 2165?
1
What is the hundreds digit of 1051?
0
What is the tens digit of 15375?
7
What is the units digit of 1926?
6
What is the tens digit of 514?
1
What is the units digit of 313?
3
What is the tens digit of 243?
4
What is the units digit of 5566?
6
What is the thousands digit of 2511?
2
What is the hundreds digit of 57641?
6
What is the tens digit of 81084?
8
What is the thousands digit of 140556?
0
What is the hundreds digit of 14206?
2
What is the tens digit of 4375?
7
What is the tens digit of 4444?
4
What is the units digit of 994?
4
What is the tens digit of 13799?
9
What is the hundreds digit of 1076?
0
What is the thousands digit of 6766?
6
What is the tens digit of 116210?
1
What is the hundreds digit of 502?
5
What is the thousands digit of 2463?
2
What is the units digit of 19974?
4
What is the ten thousands digit of 80603?
8
What is the ten thousands digit of 15841?
1
What is the tens digit of 4495?
9
What is the thousands digit of 63918?
3
What is the units digit of 17074?
4
What is the ten thousands digit of 184069?
8
What is the ten thousands digit of 27361?
2
What is the tens dig | {
"pile_set_name": "DM Mathematics"
} |
2 + 8*b + 3. Let w be v(-3). Let k = -4 - w. What is the remainder when (22 + -1)*4/6 is divided by k?
6
Suppose 3*k = -k - 16. Calculate the remainder when 2*k/8 + 34 is divided by 9.
6
Let a(v) = v**3 + 11*v**2 - v + 1. Let l(g) = g**2 - 10*g + 5. Let w be l(8). What is the remainder when 46 is divided by a(w)?
10
Let r(b) = -2*b**2 - 10*b + 2. Let h be r(-7). Let t = h - -76. What is the remainder when t is divided by 17?
16
Let h = -9 - -15. Suppose 2*r + 4 = h*r. What is the remainder when 3 is divided by r?
0
Suppose 4*b + 3 = 5*b. Calculate the remainder when b is divided by 1.
0
Calculate the remainder when 439/9 + (-8)/(-36) is divided by 10.
9
What is the remainder when (-23)/(-2)*(-10 + 12) is divided by 13?
10
Let m be ((-6)/(-4))/((-1)/(-4)). Suppose 5*s - m = 9. Calculate the remainder when 46/10 - (-2)/5 is divided by s.
2
Let s(m) = 45*m**3 - m**2. Let l be s(1). Let b = 5 + l. What is the remainder when b is divided by 17?
15
Suppose -10 = 35*g - 36*g. Calculate the remainder when g is divided by 6.
4
Suppose -5 = -o - 11. Calculate the remainder when -4*(-1)/(-2)*-19 is divided by (-4)/o + 37/3.
12
Suppose -s = 4*h - 9*h - 4, 3*s + h - 12 = 0. What is the remainder when s is divided by 1 - (2/(-1))/2?
0
Let u(y) = -2*y**2 + 9*y + 7. Let m be u(8). Let g = 72 + m. What is the remainder when g is divided by 8?
7
Suppose 20*g = 7*g + 546. Calculate the remainder when g is divided by 16.
10
Suppose -o = -3*v - 23 - 9, 0 = 3*o + 4*v - 44. What is the remainder when 38 is divided by o?
18
Suppose -3*v = -2*h + 40, -5*v = -3*h + 15 + 44. What is the remainder when h is divided by 8?
7
Suppose 16 = -4*y - 76. Let f(q) = 30*q - 2. Let c be f(-1). Let w = y - c. What is the remainder when w is divided by 6?
3
Suppose -4*o - 3*q = -0*q - 71, -o = 2*q - 14. Suppose -o - 4 = -4*a. What is the remainder when a is divided by 4?
2
Suppose -58 = t + t. Let l = 56 + t. Calculate the remainder when l is divided by 14.
13
Let n(r) be the first derivative of -r**2 + 2*r - 2. Let s be n(8). Let l = s + 55. Calculate the remainder when l is divided by 21.
20
Suppose 8 = 4*m, -8 = 2*a - 3*m + 2. Let r = a + 5. Let j = -336 - -338. Calculate the remainder when r is divided by j.
1
Let d(j) = 2*j + 12. Calculate the remainder when 3 is divided by d(-5).
1
Suppose -76 = -4*c - 2*z, -6*c + 2*c - 4*z = -84. Let y = 125 + -115. Calculate the remainder when c is divided by y.
7
Let l(m) = m + 3 + m - 5*m**2 + 12*m**2 + 8*m**2. What is the remainder when l(-2) is divided by 20?
19
Let c(p) = -2 + 20*p**2 + p + 0 + 2*p. What is the remainder when c(1) is divided by 6?
3
Let f(x) = 7*x - 4. Let z(h) = -1 - 4*h**2 + 4*h - 3*h**3 - 2 + 4*h**3 - 1. What is the remainder when f(7) is divided by z(4)?
9
Suppose -14 - 6 = -4*h. Let a = 11 - h. Suppose -3*m = -9 - 3. What is the remainder when a is divided by m?
2
Let j(p) = 2*p**2 + 7*p - 5. Calculate the remainder when j(-8) is divided by 17.
16
Suppose -w - t - 3*t - 5 = 0, -35 = -w + 4*t. Suppose 0*g + 24 = 4*g. Calculate the remainder when w is divided by g.
3
Suppose 29 = -3*d + 5*l, 2*d = d + l - 9. Calculate the remainder when 23 is divided by ((-2)/4)/(d/96).
5
Suppose -101 = -i + 11. Suppose 5*f = -7 + i. Suppose -5*t + 89 + 111 = 0. What is the remainder when t is divided by f?
19
Let n(h) = -6*h**3 + h**2 - 6*h - 7. Calculate the remainder when n(-2) is divided by 15.
12
Suppose 2*m = 4*m - 16. Suppose -m = 3*n - 23. What is the remainder when n is divided by 2?
1
Let k be (1/(-3))/(1/(-6)). Let r(s) = s - 3. Let b be r(-2). What is the remainder when 27 is divided by b*(-3 - (k - 2))?
12
Let x = -6 + 10. Let r(h) = 6*h + 3. What is the remainder when 106 is divided by r(x)?
25
Suppose 5*i - 95 = 5*t, -i + 13 - 70 = 3*t. What is the remainder when 13 is divided by t/(-4) - 3/(-12)?
3
Let a = -3 + 14. What is the remainder when 76 is divided by a?
10
Suppose 0 = -5*r + 20 + 35. What is the remainder when r is divided by 6?
5
Let k = -7 + 10. Let n = 0 + k. Let c(y) = 3*y**2 - 3*y + 4. Calculate the remainder when c(n) is divided by 8.
6
Suppose l + 5 = -4*u + 33, -5*l - 4*u + 140 = 0. What is the remainder when 83 is divided by l?
27
What is the remainder when 142 is divided by ((-56)/(-24))/(4/84)?
44
Let r(t) = t**2 - 11*t - 8. Let q be r(12). Suppose q = 4*a - 4. Calculate the remainder when (-2)/((-8)/6)*2 is divided by a.
1
Suppose -4*i - 57 = -u, -4*u - 2*i = -39 - 153. Calculate the remainder when u is divided by (-78)/(-4)*26/39.
10
Calculate the remainder when ((-1070)/(-4))/5*(-2)/(-1) is divided by 27.
26
Let j(q) = -q**3 + 5*q**2 - 2*q + 5. Let l(x) = 2*x - 8. Let z be l(6). What is the remainder when j(z) is divided by 4?
1
Let r = -2 + 4. Suppose w = r + 23. Suppose y - 3*y + 14 = 2*n, 0 = 5*n + w. Calculate the remainder when y is divided by 7.
5
Let v = -12 + 19. Let q = 2 - 1. Let i = q + 18. Calculate the remainder when i is divided by v.
5
Let v = 42 + -37. Calculate the remainder when 19 is divided by v.
4
Suppose 0 = r + 4*l - 3, -4*l - 4 = -2*r + 2. Suppose r*s - 88 = s. Calculate the remainder when s is divided by 15.
14
Suppose t = -3*u - 93, 23 - 68 = u + 5*t. Let b = 61 + u. What is the remainder when b is divided by 17?
14
Suppose p - 4*v - 17 = 0, -3*v - 27 = 5*p - 135. Let r be 700/p*(-6)/(-4). Calculate the remainder when r/2 + (-2 - 0) is divided by 6.
5
Let g(f) = 2*f**3 - 8*f**2 - 2*f + 19. What is the remainder when g(6) is divided by 40?
31
Let k be (-500)/(-10) + 0/(-2). Let i = -30 + k. What is the remainder when i is divided by 11?
9
Suppose 77*k + 102 = 79*k. What is the remainder when k is divided by (26/(-6))/((-3)/18)?
25
Let v = -25 - -51. What is the remainder when v is divided by 9?
8
Suppose 4*v + 4*y = -0*y + 48, -5*v + y = -30. Let k = 14 + -9. What is the remainder when v is divided by k?
2
Suppose -2*v + m + 19 = -2*m, -3*v - 5*m = -38. Calculate the remainder when 21 is divided by v.
10
Suppose -5*w + v = -444, 0*v + 5*v - 420 = -5*w. Calculate the remainder when w is divided by 32.
24
Let b = 14 - 0. Suppose -2*w = -6*w + 104. What is the remainder when w is divided by b?
12
Let n(j) = j**3 + 9*j**2 + 7*j + 2. Calculate the remainder when 18 is divided by n(-8).
8
Suppose 2*f = 22 + 10. What is the remainder when 45 is divided by f?
13
Suppose 0 = -w - 0*w. Suppose 2*f + 12 = 2*r, w = 2*r + 2*f + 3 - 31. Calculate the remainder when r is divided by 6.
4
Suppose -4*b - 4*w = 4, 0 - 2 = -3*b + 2*w. Let p = b - 0. Suppose -3*i + p*i + 24 = 0. What is the remainder when 23 is divided by i?
7
What is the remainder when 219 is divided by (-3 - -6 - 0) + 41?
43
Suppose 0 = 2*o + 4*t - 30, 5*o + 3*t - 52 = 9. What is the remainder when o is divided by 2?
1
Suppose -4*d = -7 + 23. Let a(h) = h**3 + 4*h**2 - 3*h - 2. What is the remainder when a(d) is divided by 4?
2
Suppose -2*n - m = -45, -4*n + 23 = 3*m - 62. Calculate the remainder when n is divided by 7.
4
Suppose 0*x - 40 = -2*x. Let k = -8 + x. Calculate the remainder when 22 is divided by k.
10
Let g be 2 + (1 - -1) + -2. Suppose -5*l + 4*f - 1 = -32, -23 = -5*l + g*f. Calculate the remainder when 15 is divided by l/(3/24*3).
7
Let m = 58 - 44. Calculate the remainder when 95 is divided by m.
11
Let f = 65 - 57. What is the remainder when 14 is divided by f?
6
Let o = 37 - 22. Calculate the remainder when o is divided by 4.
3
Let a = 131 - 57. What is the remainder when a is divided by 25?
24
Suppose -4*z + 254 = -22. Calculate the remainder when z is divided by 24.
21
Let l(r) = -r**2 - r + 1. Let g be l(0). Let v = g + 16. What is the remainder when v is divided by (0 + -1)/(1/(-9))?
8
Suppose -k + 15 = -4*p, 4*k = 5*p + 36 + 24. Let j = -5 + 13. What is the remainder when k is divided by j?
7
Let u(y) = -2*y - 9. What is the remainder when u(-10) is divided by 7?
4
Let i(a) = -a**3 - 4*a**2 - 3*a - 4. Suppose -2 = -v + 12. Calculate the remainder when v is divided by i(-4).
6
Suppose -36 = -3*o + 3*d, o = 3*o + 4*d - 42. What is the remainder when 43 is divided by o?
13
Let k(r) = -11*r - 8 + 0*r**2 + 2*r - r**2. What is the remainder when 17 is divided by k(-6)?
7
Suppose 67 = 5*k - 0*t - 3*t, 0 = -2*k + 3*t + 25. Let o(j) = -j**2 + 10*j - 8. Calculate the remainder when k is divided by o(8).
6
Le | {
"pile_set_name": "DM Mathematics"
} |
What is 11.62299 micrograms in nanograms?
11622.99
Convert 6469.666ng to grams.
0.000006469666
What is 9/10 of a millennium in decades?
90
Convert 71.58795 grams to milligrams.
71587.95
What is four fifteenths of a day in seconds?
23040
What is 513487.89 nanoseconds in hours?
0.000000142635525
What is 0.6775592 seconds in microseconds?
677559.2
How many millilitres are there in 965020.9 litres?
965020900
Convert 13914.04 hours to nanoseconds.
50090544000000000
What is 78778.16 tonnes in milligrams?
78778160000000
What is seven quarters of a litre in millilitres?
1750
What is 3/25 of a microgram in nanograms?
120
What is 37825.1 tonnes in kilograms?
37825100
What is 95.64458 milligrams in kilograms?
0.00009564458
What is 17/2 of a kilogram in grams?
8500
What is 517522.9 microseconds in milliseconds?
517.5229
What is ten thirds of a week in minutes?
33600
What is 11/7 of a week in days?
11
What is six fifths of a millennium in years?
1200
What is one tenth of a millimeter in micrometers?
100
What is eleven halves of a tonne in kilograms?
5500
How many millennia are there in 97.2891 years?
0.0972891
What is 207360.5 kilograms in micrograms?
207360500000000
What is 33/5 of a millimeter in micrometers?
6600
How many days are there in 20862975.6 microseconds?
0.000241469625
How many micrograms are there in 5/4 of a milligram?
1250
How many tonnes are there in 0.5669629ug?
0.0000000000005669629
What is 6/5 of a litre in millilitres?
1200
What is seventeen halves of a centimeter in millimeters?
85
What is 455461.7 weeks in hours?
76517565.6
How many litres are there in 329172.9ml?
329.1729
Convert 46095.52 centuries to decades.
460955.2
What is nine tenths of a hour in minutes?
54
What is 48.91004t in micrograms?
48910040000000
How many meters are there in twenty-one fifths of a kilometer?
4200
How many nanograms are there in 64859.17g?
64859170000000
What is 89319.08 days in hours?
2143657.92
How many minutes are there in 25.212015us?
0.00000042020025
Convert 714879.54s to days.
8.27406875
Convert 55.60047 weeks to nanoseconds.
33627164256000000
What is 13/4 of a meter in centimeters?
325
How many milligrams are there in 13/5 of a gram?
2600
What is 7/2 of a minute in seconds?
210
How many millilitres are there in 1/4 of a litre?
250
How many millilitres are there in three tenths of a litre?
300
Convert 5.20223 micrometers to centimeters.
0.000520223
How many seconds are there in one fifteenth of a day?
5760
What is 7/8 of a century in months?
1050
What is eighteen fifths of a century in decades?
36
How many millennia are there in 2298.8562 months?
0.19157135
Convert 394.0693 kilometers to centimeters.
39406930
What is 2607.867 centuries in years?
260786.7
Convert 22.55342ng to kilograms.
0.00000000002255342
Convert 0.3336021 nanoseconds to microseconds.
0.0003336021
How many nanograms are there in 0.72319g?
723190000
How many kilograms are there in 761.2439 milligrams?
0.0007612439
Convert 92.49754ml to litres.
0.09249754
How many centimeters are there in 60.84629 meters?
6084.629
How many hours are there in 2151381.6us?
0.000597606
What is 7/8 of a kilogram in grams?
875
What is 20.8347687 seconds in days?
0.00024114315625
What is 4/15 of a millennium in months?
3200
What is 6436.827 tonnes in grams?
6436827000
Convert 3.902035 microseconds to milliseconds.
0.003902035
How many tonnes are there in 24.58007 milligrams?
0.00000002458007
Convert 56345.23l to millilitres.
56345230
What is eighteen sevenths of a week in hours?
432
What is 33/5 of a milligram in micrograms?
6600
How many micrometers are there in 260.8647nm?
0.2608647
What is 10/21 of a week in hours?
80
What is 13/4 of a kilogram in grams?
3250
What is fourty-two fifths of a litre in millilitres?
8400
What is 46/5 of a kilogram in grams?
9200
What is 584.8699 days in nanoseconds?
50532759360000000
Convert 3333.134l to millilitres.
3333134
How many months are there in eight thirds of a year?
32
What is 1/80 of a centimeter in micrometers?
125
Convert 98.13819 days to milliseconds.
8479139616
How many kilometers are there in 644801.2um?
0.0006448012
Convert 39430.8 micrograms to grams.
0.0394308
What is fourty-five quarters of a kilometer in meters?
11250
How many centuries are there in 0.685048 years?
0.00685048
What is 1/100 of a kilometer in centimeters?
1000
What is eleven halves of a tonne in kilograms?
5500
What is 8/25 of a gram in milligrams?
320
What is 158036.4kg in nanograms?
158036400000000000
Convert 9.151463mm to kilometers.
0.000009151463
How many millimeters are there in fourty-two fifths of a meter?
8400
Convert 907742.8 decades to years.
9077428
What is 77/2 of a litre in millilitres?
38500
What is thirteen quarters of a meter in millimeters?
3250
What is 19/4 of a microgram in nanograms?
4750
Convert 10455.45m to kilometers.
10.45545
What is three eighths of a micrometer in nanometers?
375
What is one fifth of a microsecond in nanoseconds?
200
What is 10.29848l in millilitres?
10298.48
How many millilitres are there in eighty-one quarters of a litre?
20250
Convert 7.981774 micrometers to nanometers.
7981.774
How many micrometers are there in 828.7874m?
828787400
What is 471.9428 millilitres in litres?
0.4719428
What is three fifths of a litre in millilitres?
600
What is 310.0161 micrograms in kilograms?
0.0000003100161
What is 324765.2 grams in nanograms?
324765200000000
How many millilitres are there in 1/5 of a litre?
200
How many centimeters are there in 8/25 of a kilometer?
32000
How many millilitres are there in seventy-seven fifths of a litre?
15400
What is 1/16 of a meter in micrometers?
62500
How many milliseconds are there in 8/25 of a second?
320
How many grams are there in 9.153131 micrograms?
0.000009153131
How many seconds are there in 1/9 of a week?
67200
Convert 73359.09 minutes to nanoseconds.
4401545400000000
What is 27/5 of a tonne in kilograms?
5400
What is 8/25 of a kilogram in grams?
320
Convert 6.863409 nanometers to kilometers.
0.000000000006863409
What is 43/2 of a week in hours?
3612
How many seconds are there in 7/4 of a minute?
105
What is 70.62906t in kilograms?
70629.06
What is 55/2 of a tonne in kilograms?
27500
How many months are there in one fifth of a millennium?
2400
What is 97654.46 kilograms in milligrams?
97654460000
Convert 977.2824l to millilitres.
977282.4
How many months are there in 9145.986 millennia?
109751832
Convert 17911.74 milligrams to micrograms.
17911740
Convert 33.35576 hours to minutes.
2001.3456
How many months are there in seven thirds of a decade?
280
What is 3/40 of a kilometer in meters?
75
How many seconds are there in one ninth of a hour?
400
What is 0.6447869nm in micrometers?
0.0006447869
What is 3/10 of a millimeter in micrometers?
300
What is 324.6767 nanometers in meters?
0.0000003246767
What is 60.68004um in nanometers?
60680.04
What is eleven quarters of a millimeter in micrometers?
2750
What is 45331.938us in hours?
0.000012592205
What is seventy-two fifths of a millennium in centuries?
144
Convert 726.9478l to millilitres.
726947.8
How many micrograms are there in 30.5904kg?
30590400000
What is seven thirds of a week in hours?
392
How many millennia are there in 0.307687 decades?
0.00307687
How many minutes are there in 5/42 of a week?
1200
Convert 0.8110062 nanometers to centimeters.
0.00000008110062
How many tonnes are there in 5.90607 nanograms?
0.00000000000000590607
What is 61/4 of a meter in centimeters?
1525
What is 730.2485 kilometers in meters?
730248.5
Convert 70.09282 days to weeks.
10.01326
What is 8628.595ug in nanograms?
8628595
What is 41752.58 nanoseconds in seconds?
0.00004175258
What is 73/4 of a microgram in nanograms?
18250
Convert 8.72275ml to litres.
0.00872275
What is 0.2304128 hours in nanoseconds?
829486080000
What is 500.2036nm in micrometers?
0.5002036
What is 651891.6 decades in centuries?
65189.16
What is 61.38086ms in seconds?
0.06138086
How many micrometers are there in 778707.4 millimeters?
778707400
What is 43382.5 millennia in years?
43382500
How many months are there in 53/4 of a century?
15900
What is twenty-five quarters of a litre in millilitres?
6250
How many centimeters are there in 54.86747nm?
0.000005486747
What is 411159.2us in seconds?
0.4111592
What is | {
"pile_set_name": "DM Mathematics"
} |
= -43 + v. Let h = -0.462 - -0.062. What is the closest to h in 0.2, -0.1, l?
-0.1
Suppose -5*o - 106 = -3*r - 109, o + 5 = -5*r. Which is the nearest to o? (a) -1/3 (b) -3 (c) -2
a
Let f be (-15)/2 - 1/2. Let m be (-10)/f + 8/((-32)/1). Suppose -2*t - 8 = -h, -3*h - 2*t + 3*t = -4. Which is the nearest to h? (a) 2 (b) m (c) 10
b
Let j = 27/35 + -89/70. Which is the closest to -2/149? (a) -3/2 (b) -3/7 (c) 1 (d) j
b
Let v = -4.96 - 0.04. Let c = -0.158 + -192.842. Let k = c + 195. What is the closest to k in 5, v, -0.1?
-0.1
Let x = 3.92 + 0.08. Let p be ((-2 - -1)*-1)/(1 - 92/46). Which is the nearest to -1/8? (a) 1 (b) x (c) p
c
Let k = 0.3 + -0.5. Let l = 87447 - 87446.6. Which is the closest to l? (a) k (b) -3 (c) 2/3
c
Let l = -17 + 15.88. Let h = l + 1.62. What is the nearest to -1 in -41, h, 2?
h
Let o be (-2)/(-5) + 1/(-2). Suppose -5*v + 2*l + 276 = 0, -3*v = -5*l - 88 - 89. Suppose 60 = -v*n + 66*n. Which is the closest to 1/3? (a) 2/11 (b) n (c) o
a
Let b = -10944.55 - -10945. What is the closest to 0.01 in -0.2, 2/5, b?
-0.2
Let k = -1.3 + -0.7. Let r = 484 - 483.6. Which is the closest to 0.1? (a) 4 (b) k (c) r
c
Let c = -16 - -17. Let o be c*10/(-85) + (-134)/(-272). Let q = 4 + -4. What is the nearest to -1 in o, 0.2, q?
q
Suppose 10*v = -3*k - 32, -2*v - 8 = 16*k - 15*k. Which is the nearest to 0.1? (a) v (b) 0 (c) -5 (d) -3
b
Let p = -13.6 + 27.4. Let z = 15.8 - p. What is the nearest to 16/9 in z, 0.5, -0.3?
z
Let b = 0.1 + -9.1. Let i = 12 + b. Let q = 14653/3 - 4885. What is the nearest to q in i, -0.4, -0.3?
-0.4
Let t be 220/(-285) - (9 - 2422/266). What is the closest to -4 in -0.4, t, -3/10, -0.1?
t
Let m be 1 - 0 - 18/22. Let w = -1846 - -1841. Let r = 10 + -10. What is the closest to m in -4, r, w?
r
Let i = 7269 + -7269.5. What is the nearest to 8 in -9, i, -1?
i
Suppose -18*f = -19*f - 12. Let i be ((-150)/(-180))/((-2)/f). Which is the nearest to i? (a) -7 (b) 2/3 (c) 0.4
b
Let t = 0.8 - 1.8. Let z = -1806155/186 + 9711. Let w = z + 1/93. What is the closest to 0.4 in w, t, -1/7?
w
Let d be (-855)/(-399) - (-272)/(-140). What is the nearest to 1 in 14.5, d, 2?
d
Let n = -17 - -16.9. Suppose -7 = y - 4*r, 4*y - 12*r - 8 = -14*r. Which is the nearest to n? (a) 8 (b) y (c) -0.3
c
Let s = 41 + 1. Let i = -945.1 + 903. Let o = i + s. Which is the closest to -0.6? (a) -3 (b) o (c) 2/13
b
Let k = -823 + 4118/5. What is the nearest to 5/8 in 3/7, k, -5?
k
Let i = 18063 + -54193/3. Which is the closest to 3.3? (a) -4/7 (b) i (c) 0.4
c
Let y = -418 + 121. Let m = -293 - y. What is the closest to m in 3/2, -0.2, 0.05, -1?
3/2
Let t = -2 - -1.9. Suppose 0 = 20*u - 292 + 332. Which is the closest to 1? (a) t (b) 0 (c) u
b
Suppose 2*u = -5*i - u + 5, -u = 5. Let m = 0.536 + -0.006. Let t = 0.43 - m. Which is the closest to -13? (a) t (b) -1 (c) i
b
Let i = 0.1366 - 269.7366. Let y = i - -270. Which is the nearest to -3? (a) -0.06 (b) -3/4 (c) -1 (d) y
c
Suppose -6*v - 65 = 25. Let u(k) = -k**3 - 16*k**2 - 9*k + 91. Let z be u(v). What is the nearest to z in 18, 0, -0.2?
0
Let n = -0.16098 - -1.16098. What is the closest to n in 37, -3, -1/5?
-1/5
Let o = 8.8 + -9.68. Let z = o + 0.78. Let w = 0 - 5. Which is the closest to z? (a) 0.2 (b) w (c) 0.1
c
Let t = -71 + -53. Let h = -1362/11 - t. Let u = 0.02243 + -0.02243. Which is the closest to -1/4? (a) -4 (b) h (c) u
c
Let n = -97 + -76. Let l = n + 1383/8. What is the nearest to l in -3/5, -1/3, 1/2?
-1/3
Let x = -17 - -28. Let c = x - 15. Let l = -160 - -161. What is the nearest to l in 4, c, -5/3?
-5/3
Let f = 14484 - 14484. Which is the closest to 4? (a) -0.14 (b) f (c) 2/29
c
Suppose -79*a + 57*a + 88 = 0. Let g = 94 + -94. Suppose 4*p - 3*p = 0. What is the closest to p in a, g, -1/2?
g
Let o(y) = y**2 - 8*y - 86. Let w be o(-6). Let l = 23.8 + -24. Which is the nearest to -1? (a) w (b) l (c) 1/3
b
Let j be 34 + 6 + (-6)/3 + -8. What is the nearest to -0.2 in -3/7, -0.3, j, 0.3?
-0.3
Let q = 2729 - 2728.9. Which is the nearest to -2? (a) 2 (b) -8 (c) -2 (d) q
c
Let z be (-72)/180*(-2 + (-126)/(-48)). Which is the closest to 3? (a) 0.4 (b) -0.234 (c) z
a
Let s be (18886/42)/(2 - 1). Let r = s - 450. Which is the closest to -1/3? (a) r (b) 0.5 (c) 1/11 (d) -1
a
Let m = -44117 + 44117.3. Suppose 0 = -2*n - 0*n. What is the nearest to n in 4, m, 1?
m
Let r = -50.1 + -20.9. Let k = -69 - r. What is the nearest to k in 2/7, -6, -5?
2/7
Let l = 56.9 - 62.6. Let c = 110.3 - 118. Let a = l - c. What is the closest to -2/9 in -3, -4, a?
a
Let b be (-5280)/(-49280)*28/6. Let u = 1.1 + -0.1. Let r = 1 - u. What is the closest to b in r, 5, -0.5?
r
Let t = -0.56 - -0.66. Let h = -36 - 2. Let z = h + 33. What is the closest to t in z, 0.4, -4/5?
0.4
Let y = 0.054 + -0.454. Let d = 1.454 - 0.454. What is the closest to d in -2/7, 1, y?
1
Let f = 312.2 + -308.2. Which is the nearest to -2/5? (a) 0.1 (b) 18 (c) f
a
Let c = 0.4901 + -0.1901. What is the closest to -4 in c, 5, -3, 18?
-3
Let p be (-1)/(-39) - 2/6. Suppose 4*j - 6*j + y = 6, -2*j - 5*y = -6. Which is the nearest to p? (a) -3/8 (b) -3/7 (c) j
a
Let i = 458.991 - 0.991. Let f = 457.8 - i. What is the closest to 0 in f, 0.4, 20?
f
Let g be ((35/49)/5)/(1/2). What is the nearest to 2/3 in -7, g, 13?
g
Let g = 218/279 - 32/279. Which is the closest to g? (a) 5 (b) 0.2 (c) -177
b
Suppose u - 5*q + 2*q - 5 = 0, -2*u - 3*q = -28. Suppose 3*z + u = -4. Let t be -1 - z - 14/4. Which is the closest to t? (a) 5 (b) -0.2 (c) -3
b
Let h = 2.458 + -0.398. Let m = h + -2.16. What is the nearest to m in 13, 2/11, -1?
2/11
Let y be -1 - (2 - (-62)/(-20)). Let o = 0.01473 - -0.38527. Which is the nearest to -0.1? (a) 3 (b) o (c) y (d) 3/4
c
Let u(w) = 26*w + 125. Let y be u(-5). Let o = 119 + -65. Let f = o - 51. What is the nearest to 0.1 in 1/4, f, y?
1/4
Let w be (-1 - -4)/((-18)/(-4)). Let r = -15.46 + 2.56. Let f = 12.5 + r. Which is the nearest to w? (a) -4 (b) f (c) 2
b
Let k = -24168.4 + 24168. What is the closest to 1/4 in -0.2, k, -0.14, 9?
-0.14
Let i = -1.3082 + 1.6082. Which is the closest to 60? (a) 2/9 (b) i (c) 1/2
c
Let n = 316 - 315. Let z = 327 - 327.2. Which is the closest to -0.4? (a) n (b) -5 (c) z (d) 4
c
Let x = 28678/8961 - 332/103. Which is the nearest to 11/2? (a) x (b) -0.5 (c) -2/7
a
Let n = 345 - 520. Let v = n + 169. Let x be 0/5 - 1/6. Which is the nearest to 0.1? (a) -3/7 (b) x (c) v
b
Let t = 34.4 - 27.4. Let l = -2945/3 - -981. Which is the closest to -1/2? (a) l (b) t (c) -1/5
a
Let v = -11.465 + 20.465. What is the closest to -3 in -1, v, 1, -1/6?
-1
Let i = 6339 + -6342. Let g = 1 - -2. Let w = 1 - g. What is the nearest to -13 in w, i, -4?
-4
Let b = -33900 - -33900.7. Let i(n) = n**2 + 2*n + 1. Let q be i(-2). Let c be -2*(46/20 - 2). What is the closest to q in b, c, 0.4?
b
Let d = 5443 - 5448. What is the nearest to 3/8 in d, -0.037, -1?
-0.037
Suppose -2*l = o - 2, -5*o - 13*l + 16*l = 3. Let m(x) = -2*x**3 + 4 + x**3 + 1. Let v be m(0). What is the closest to 3 in v, -5, o?
v
Let q be (-196)/588*48/28. Let t be (-3)/((-1)/2*39). What is the closest to 0.2 in -2, t, q?
t
Let s = -5.3 + 5.7. Let y be (6/(-4))/(30/(-100)). Let j be y/2*32/(-440). What is the closest to -4 in s, j, 2/11?
j
Let h = -581 - -354. Let o = h - -226.4. Which is the nearest to 0.2? (a) 2/5 (b) 4/3 (c) o
a
Let g be (-2 + -8)*(-16)/560. Which is the nearest to g? (a) 2/5 (b) 0.3 (c) -1/10 (d) 0
b
Let o = -97.2048 - -0.2048. What is the nearest to -1 in o, 1, -3/5, -4?
-3/5
Let y(a) = -118*a - 1774. Let s be y(-15). Let i = 0.3 - 2.3. What is the nearest to -5 in i, s, 0.01?
s
Suppose -2*s - 7*q = -9*q + 246, -3*s + 4*q - 369 = 0. Which is the closest to -1.1? (a) 1/5 (b) s (c) 3
a
Let l = -4640 - -4645. Which is the closest to -2? (a) 0.4 (b) 1 (c) -14 (d) l
a
Let b(r) = r**3 + 26*r**2 - 59*r + 23. Let t be b(-28). What is the nearest to t in 1, -3/2, 2/5?
1
Suppose 2 = f - 16. Let z be (-3)/f*(-105)/14. Let m = -0.09 + 1.09. Which is the nearest to -0.1? (a) m (b) -3/7 (c) z
b
Suppose -w + 5*w = 5*n + 198, 0 = 3*w + 4*n - 164. What is the nearest to 1 in -1/3, -4, w?
-1/3
Let m = -6812.076 - -6812. Which | {
"pile_set_name": "DM Mathematics"
} |
-13 by -26719.
13/26719
3808998 divided by -423222
-9
-964 divided by -366
482/183
Calculate -2880 divided by 720.
-4
4387723 divided by 5
4387723/5
Divide 3 by -194390.
-3/194390
4 divided by 135207
4/135207
What is 170 divided by 3391?
170/3391
What is 12648 divided by -248?
-51
Calculate 796834 divided by -1.
-796834
Calculate 3491250 divided by -5.
-698250
Calculate -139 divided by -142.
139/142
18 divided by 2769
6/923
17206 divided by 2
8603
Divide 97226 by -1.
-97226
108085 divided by -2
-108085/2
What is 4700 divided by -39?
-4700/39
Divide -1513 by -3.
1513/3
Calculate 3 divided by 7239.
1/2413
-25441 divided by 4
-25441/4
Calculate 19404 divided by 25.
19404/25
-907 divided by -492
907/492
What is 270408 divided by 22534?
12
Divide 88 by -298.
-44/149
Divide -107 by -2093.
107/2093
1201900 divided by -2
-600950
Divide 50 by 232.
25/116
What is -255 divided by -175?
51/35
Divide 14725 by 589.
25
What is -126178 divided by -3?
126178/3
What is 2219 divided by 7?
317
Calculate 1879201 divided by -5.
-1879201/5
Divide 20873 by 1.
20873
Calculate 3 divided by 1023.
1/341
What is 2 divided by 235487?
2/235487
What is 1861 divided by -121?
-1861/121
Divide -267974 by 133987.
-2
What is 4 divided by -1119288?
-1/279822
Divide 540348 by 111.
4868
Divide -16836 by -366.
46
What is 25866 divided by 1?
25866
2029696 divided by -4
-507424
What is -30923 divided by 30923?
-1
-2983140 divided by -2
1491570
Divide 12273604 by -4.
-3068401
What is 537568 divided by -16799?
-32
Calculate -32068224 divided by 3.
-10689408
What is -1444008 divided by -722004?
2
-427086 divided by -6
71181
2982612 divided by -1
-2982612
Divide -12 by -13145.
12/13145
Divide -4788 by -114.
42
Calculate 42 divided by -2072.
-3/148
Divide 93 by 57.
31/19
Calculate -2149 divided by -112.
307/16
10420 divided by 2
5210
What is 42476 divided by 82?
518
Calculate -7 divided by -421.
7/421
Divide 6 by -3838.
-3/1919
Calculate -1498 divided by 387.
-1498/387
Calculate -2338350 divided by 1050.
-2227
What is -3500 divided by -70?
50
Calculate -1094 divided by 218.
-547/109
Divide 15185 by 392.
15185/392
Divide -3 by 11504.
-3/11504
Divide 0 by -3859.
0
Divide -1 by -19913.
1/19913
Calculate 409 divided by -124.
-409/124
Calculate -97885 divided by -2.
97885/2
-1662258 divided by 26
-63933
Calculate 22737 divided by -53.
-429
Calculate 4041 divided by -267.
-1347/89
Calculate 54 divided by -86.
-27/43
Calculate 53041 divided by -59.
-899
Divide 45473 by 4.
45473/4
Divide 185274 by 141.
1314
What is -64926 divided by 3?
-21642
What is -6443640 divided by 920520?
-7
What is -779 divided by -308?
779/308
Calculate -22991 divided by 4.
-22991/4
-3463 divided by 498
-3463/498
Divide 69130 by 34565.
2
Calculate -1132 divided by -25.
1132/25
-869 divided by -261
869/261
What is 5 divided by -7089?
-5/7089
Calculate -82404 divided by -27468.
3
Calculate 9792 divided by -72.
-136
Calculate -22732 divided by 6.
-11366/3
133147 divided by 5789
23
Divide 754971 by -251657.
-3
What is -520032 divided by 16?
-32502
19 divided by -13681
-19/13681
2 divided by -155675
-2/155675
0 divided by 3502
0
Divide -1 by -2804.
1/2804
414168 divided by -34514
-12
What is 12875 divided by 17?
12875/17
1363 divided by -1797
-1363/1797
20 divided by 436
5/109
Divide -1121877 by -124653.
9
Calculate 4774 divided by 11.
434
Divide 439 by -731.
-439/731
-201924 divided by 3
-67308
Calculate 1841656 divided by -8.
-230207
What is 6 divided by -14075?
-6/14075
What is 14282 divided by 386?
37
Divide 8640 by -2160.
-4
Divide -499083 by -7.
499083/7
Calculate -19 divided by 213.
-19/213
Calculate 71 divided by 2751.
71/2751
1685 divided by -13
-1685/13
3 divided by 1522753
3/1522753
-42396 divided by -1
42396
30188 divided by -17
-30188/17
Calculate 43656 divided by 5457.
8
What is -1 divided by 742625?
-1/742625
15367 divided by 11
1397
-2 divided by -390916
1/195458
Calculate -533 divided by 42.
-533/42
Divide -26 by -7642.
13/3821
Divide 125615 by -485.
-259
-5 divided by 1608837
-5/1608837
Calculate -546923 divided by -1.
546923
54405 divided by 65
837
What is 29 divided by -29931?
-29/29931
Calculate 2197887 divided by -3.
-732629
Calculate -42 divided by -1573.
42/1573
-2254560 divided by -132
17080
What is 46692 divided by 11?
46692/11
Calculate -6 divided by -13917.
2/4639
What is -2 divided by -23830?
1/11915
Divide -3952 by 38.
-104
Calculate -3199446 divided by -9.
355494
Calculate 145112 divided by -11.
-13192
Divide -6864345 by 3.
-2288115
162432 divided by -54144
-3
Divide -86 by -52.
43/26
10834830 divided by -6
-1805805
-60066 divided by 1278
-47
1 divided by -4370
-1/4370
What is -8070 divided by 6?
-1345
-1912 divided by 2
-956
-4 divided by 1543838
-2/771919
Divide -82809 by -9.
9201
Divide 3 by -3001.
-3/3001
9 divided by -6478
-9/6478
Calculate 9507 divided by 145.
9507/145
-2760240 divided by -8680
318
What is -105856 divided by 7?
-105856/7
Divide 3090250 by -618050.
-5
2 divided by -210870
-1/105435
Divide 445014 by -6.
-74169
Divide 2443 by 535.
2443/535
186967 divided by -1
-186967
Calculate 5 divided by 13702.
5/13702
Divide 798700 by -14.
-57050
Divide -210595 by 5.
-42119
Calculate 574 divided by 168.
41/12
-1021176 divided by -28366
36
Divide 0 by -150922.
0
80400 divided by 150
536
Calculate -34156 divided by 4.
-8539
Calculate -85380 divided by -85380.
1
What is 2502 divided by 300?
417/50
Calculate -657568 divided by -657568.
1
What is -17 divided by -15727?
17/15727
What is -1 divided by 73013?
-1/73013
What is 1718 divided by -30?
-859/15
Divide 5344 by 8.
668
What is -453256 divided by 113314?
-4
Calculate -2 divided by 11000.
-1/5500
-2600640 divided by 35
-74304
Divide 0 by 1350.
0
1105849 divided by -1
-1105849
Calculate -181812 divided by 12.
-15151
Divide 535404 by -3.
-178468
What is -19206 divided by 66?
-291
Divide 52334 by -112.
-26167/56
What is 117 divided by -202?
-117/202
Divide -14 by 3922.
-7/1961
What is 9 divided by 12164?
9/12164
What is -1514 divided by -1514?
1
Calculate -78 divided by -1988.
39/994
What is 280796 divided by 1?
280796
What is 9539 divided by -1?
-9539
What is -121912 divided by 17416?
-7
-91896 divided by -84
1094
Calculate 27 divided by 14906.
27/14906
What is -6 divided by 3137?
-6/3137
Divide 1190312 by -38.
-31324
0 divided by 18205
0
Calculate 41 divided by -1536.
-41/1536
-696234 divided by -10549
66
Calculate 872847 divided by 6.
290949/2
Calculate 548757 divided by -23859.
-23
Divide -171 by -1968.
57/656
-4509 divided by -131
4509/131
-3036912 divided by 759228
-4
Divide -13 by 2021.
-13/2021
Calculate -59787 divided by -273.
219
Calculate -5 divided by -5934.
5/5934
What is -54088 divided by 2?
-27044
Calculate -41556 divided by 2.
-20778
Calculate -4 divided by -1159253.
4/1159253
-17983 divided by 367
-49
Calculate -1900646 divided by 1.
-1900646
-72684 divided by -9
8076
Calculate 486866 divided by 243433.
2
What is 178 divided by 2?
89
-177 divided by 200
-177/200
2170272 divided by 542568
4
Divide 0 by 155738.
0
1 divided by 16050
1/16050
What is -292 divided by 367?
-292/367
Calculate -450018 divided by -19566.
23
Divide 1014030 by -8895.
-114
Calculate 7 divided by -47346.
-7/47346
-120 divided by -954
20/159
Divide 7 by 547.
7/547
Divide -5 by -343391.
5/343391
What is 12716 divided by 11?
1156
442312 divided by 110578
4
28 divided by -28
-1
Divide 1725 by 75.
23
Calculate 123 divided by -944.
-123/944
What is 227664 divided by -24?
-9486
Calculate 9889 divided by 5.
9889/5
What is 1794076 divided by 448519?
4
What is -37 divided by 72374?
-37/72374
Calculate -1938 divided by 1229.
-1938/1229
What is -2183100 divided by 15?
-145540
Calculate -17 divided by 1559.
-17/1559
What is -11 divided by -52350?
11/52350
What is -93990 divided by 241?
-390
Divide -1337 by 78.
-1337/78
Divide -2 by -445705.
2/445705
Calculate -2199564 divided by 4.
-549891
-3 divided by 1396
-3/1396
What is -15382 divided by -15382?
1
What is 16 divided by 7869?
16/7869
Calculate 361 divided by 115.
361/115
What is 3087 divided by -218?
-3087/218
Divide 1098 by -56.
-549/28
32 divided by 6520
4/815
-128 divided by -2321
128/2321
What is -24 divided by -632?
3/79
Calculate 64822 divided by -5.
-64822/5
What is 909474 divided by 454737?
2
-189 divided by | {
"pile_set_name": "DM Mathematics"
} |
n denominator of h and (3/24)/(p/22)?
4
Let n(k) = -k + 10. Let d be n(8). Suppose -5*t - 1 - 26 = -d*f, -5*f = -5*t - 45. What is the lowest common multiple of 2 and f?
6
Let u be 4/(-10) + (-36)/(-15). What is the lowest common multiple of (-15)/(-10) + 1/u and 4?
4
Let i = -204 - -207. Let g = -3 - -12. Calculate the lowest common multiple of i and g.
9
Suppose -3 + 7 = 2*z. Let a = 47 + -203. What is the lowest common multiple of z and a/(-15) + (-2)/5?
10
Let r = 4 + -8. Let y = r + 6. Suppose 2*f = -f + 30. What is the lowest common multiple of y and f?
10
Calculate the least common multiple of 12 and (-8)/2 + 7 + (6 - -3).
12
Let d be (1/(-3))/((-2)/78). Let x be (-31)/((-1)/2*2). Let p = x - d. Calculate the least common multiple of 10 and p.
90
Suppose -3*n + 6 = 3*l, 2*l - 1 = -2*n + n. Calculate the lowest common multiple of n and 3.
3
Suppose -5*u + 13 = 2*o, -4*o - 3*u + 1 = 10. Let i(f) = -f**2 - 12*f. What is the lowest common multiple of o/((-3)/6 - 1) and i(-11)?
44
Suppose 2*v + 0 = 2. Suppose 2*w = 4*m - 3*w + 7, 2*m - 5*w + v = 0. What is the least common multiple of 20 and 19 - (1*m)/(-3)?
180
Suppose 4*a = -i + 17, -6*i + 3 = -3*i. Suppose -4*f + 23 = -89. Calculate the common denominator of a/(-12)*f/6 and -37/2.
18
Let l(w) = -w + 1. Let p be l(-3). Suppose 0 = -b + 3*g - 4, 0 = -b - b + p*g - 4. What is the least common multiple of 4 and b?
4
Let f(p) = 93*p**3 - p**2 + 1. Let u be f(1). What is the common denominator of -99/10 and (-8)/(-28) + u/(-14)?
70
Suppose 7*v = 2*v + 10. Let c(b) = -b**3 + 24*b**2 - 42*b - 42. Calculate the least common multiple of v and c(22).
2
Let o = -35/1221 + -129667/34188. Find the common denominator of o and -77/4.
28
Let a(k) = -k - 5. Let p be 2/(1/2*-2). What is the smallest common multiple of a(-11) and (-3 - -15) + (p - 0)?
30
Let c be ((-8)/(-6))/(25/(-37515)). Let v = c + 2010. What is the common denominator of -143/6 and v?
30
What is the common denominator of (-303)/(-180) + 8/(-6) and 121/20?
20
Let g = -270635/22 + 12306. What is the common denominator of -55/6 and g?
66
Let i = -247613/16 - -15471. Calculate the common denominator of i and (-2)/12*(5 + 808/28).
112
Suppose 0 = -4*j, -3*j + 9 = 2*i - 1. What is the smallest common multiple of i and 7?
35
What is the lowest common multiple of 16 and (-1)/(26/(-4)) - 2898/(-91)?
32
Suppose -2*s - 5*l - 3 = -0*l, -4*l = 2*s + 2. What is the least common multiple of 5 and -8*-1*s/2?
20
Suppose 3*c = 3, 5*x - 6*c + 2*c - 41 = 0. Calculate the least common multiple of x and 4.
36
Calculate the common denominator of (-990)/8*(-1)/(-5) and 554/(-36) - 4/(-18).
12
Let g = 17 + -29. Let m = g - -16. Calculate the least common multiple of m and 5.
20
Let h = -1 - -2. Calculate the smallest common multiple of h/((-2)/9)*-2 and 0 + 2 + -2 - -3.
9
Let u = -3590 + 68270/19. Let v = u + -1211/209. Find the common denominator of v and 59/10.
110
Let g = -119305/12 + 9936. What is the common denominator of -35/16 and g?
48
Suppose 4*i - i = 63. What is the common denominator of -111/10 and i/(-9)*81/(-12)?
20
Let g be -2 - -16 - 4/2. Find the common denominator of -87/4 and (6/9)/(g/(-531)).
4
Let s(h) = 22*h**2 + 4*h + 2. Let u be s(-2). Let w = -4537 - -36957/8. Let r = w - u. Calculate the common denominator of r and -115/12.
24
Let r = -599/2 - -310. Find the common denominator of r and 107/12.
12
Let l = 4 + 6. Calculate the common denominator of l and 55/6.
6
Let m be -3 + ((-27724)/(-20) - -2). Let o = 1374 - m. Let r = -43/21 - -199/21. What is the common denominator of r and o?
35
Calculate the lowest common multiple of 118 and -3 + 7 - (-17 + -2 - -3).
1180
Suppose -49 = -4*y - p, -40 = -4*y - y + 3*p. Suppose 2*i = 2*s + 3 - 7, 3*i + 10 = 4*s. What is the smallest common multiple of s and y?
44
Let n be (-1068)/(-1059) - (2 + -1). Let r = 16247/1059 - n. Calculate the common denominator of r and (-286)/3*(-2)/(-8).
6
Let u(b) = -b**2 - 7*b - 5. Let v be u(-6). Let n = 3 + v. Suppose -5*r + 5*m = -95, 2*m + m = -3. What is the smallest common multiple of r and n?
36
Let o = 607705/68472 - 2/8559. What is the common denominator of o and ((-3 + 7)/16)/((-2)/12)?
8
Let q = -4 + 4. What is the common denominator of -109/10 and (q + 93/12)/2?
40
Let c = 6801600711/2214964 + -2/553741. Let s = -3056 + c. What is the common denominator of s and ((-36)/15)/((-99)/30)?
44
Suppose -6*d = -7*d + 8. What is the smallest common multiple of d and 16?
16
Let d = -18 - -34. Calculate the least common multiple of d and 18.
144
Suppose -10*u = 12 - 32. Suppose -4*n - 4 = -12. Calculate the least common multiple of u and n/(-3) - (-8)/3.
2
Suppose 0 = 5*d - 2*d - 60. What is the smallest common multiple of 18 and d?
180
Suppose -3 = 3*i + 9. What is the common denominator of -67/2 and (i/(-78))/(11/198)?
26
Let z(x) = x**3 + 3*x**2 - x + 21. Calculate the least common multiple of z(0) and 27.
189
Let d(w) = -2*w + 1. Calculate the least common multiple of 34 and d(-4).
306
Let b = -5741/2695 - 3/490. What is the common denominator of (297/55)/((-4)/5) and b?
44
Let u(z) = -z**2 + 3*z + 38. Suppose -l - 4*l + 105 = 0. What is the least common multiple of l and u(7)?
210
Let p be (-5)/(-80)*(-4)/20. Let h = 323/240 + p. Find the common denominator of 29/10 and h.
30
Let p = -5/148 + 723/592. Calculate the common denominator of -115/18 and p.
144
Let z = -1/34 + 14/187. Calculate the common denominator of 23/14 and z.
154
What is the common denominator of (-2)/((-12)/(-13))*25/(-10) and -33/10?
60
What is the common denominator of 4/10 + 183/105 and 5/10 + 11/4?
28
Suppose 4*i - i + 1083 = 0. Let h = -47 - i. Calculate the common denominator of (-1)/4 + h/(-8) and -53/14.
14
Suppose x = c, x + 0*x = -5*c - 6. Let m = x + 3. What is the lowest common multiple of 8 and m?
8
Let z be 40/6*(-9)/(-6). Find the common denominator of 2/z*(-6305)/(-156) and -1/12.
12
Suppose -5*u - 1 = -4*a, -3*u = -2*u + 3*a - 15. Suppose 9 + u = 2*j + 2*k, -5*j - 4*k = -33. Calculate the smallest common multiple of j and 6.
18
Let q = 7253/90 + -457/18. Let w = q - 1973/40. What is the common denominator of w and -23/10?
40
Find the common denominator of -51/4 and 5/920*-1*(-1 + -1).
92
Let f = 15455 + -463481/30. What is the common denominator of -53/6 and f?
30
Suppose -5*j - 29 + 149 = 0. Suppose -29*t + j = -26*t. Let z(d) = -d + 2. What is the least common multiple of z(-3) and t?
40
Let n(k) = -k**3 + 9*k**2 - 7*k - 4. Let o be n(8). Suppose -3*a + o = a. What is the lowest common multiple of 14 and (-3)/((-3)/14*a)?
14
Let g = 152405/16 + -9519. Calculate the common denominator of g and 47/26.
208
Suppose 4*p = 11 + 9. What is the smallest common multiple of p and 10?
10
Suppose -2*k - 7 + 45 = 4*a, 27 = 3*a + 3*k. Suppose -3*f = 2*d + 11, -3*d + 10 = -4*f - 16. What is the least common multiple of 4 + -6 + 2*d and a?
10
Let m be ((-704)/5)/(7/(-35)). Calculate the common denominator of -83/10 and (539/m)/((-2)/8).
80
Let d = 39 + -32. What is the lowest common multiple of 7 and d?
7
Suppose t = 4*a - 76, -4 = -2*a - 5*t + 12. Calculate the smallest common multiple of 12 and a.
36
Let i(n) = -n**2 + 14*n - 6. Suppose 0 = -4*f - 20, 2*f - 37 = -d + 7*f. Calculate the least common multiple of i(d) and 20.
180
Suppose -4*x = -2*o - 12, -3*x + 2*o + 23 = 4*o. Let w(i) = 2*i**2 - 2*i. What is the smallest common multiple of w(x) and 12?
120
Suppose 5*q = 25, 0*p - 2*p = -q - 15. Suppose 0 = -h - 0*h + 9. What is the lowest common multiple of p and h?
90
Let v = -9 - -13. Let a(p) = p**2 - 3*p - 2. Calculate the smallest common multiple of 22 and a(v).
22
Suppose -c = -3*y - 20, 2*y = 2*c + 3*c - 48. Let b = 11 + -5. Calculate the lowest common multiple of c and b.
24
Calculate the least common multiple of ((-11)/(-3))/(1/6) and 4.
44
Let k = 2113/174 - 154/29. Find the common denominator of k and -23/2.
6
Let z be (-1)/(1 + (-4)/3). Suppose 1595 = z*g + 272. What is the common denominator of 63/8 and 1/2 - g/56?
8
Let h be (-15)/25 + (-536)/(-10). Suppose x + 0*k - 51 = k, 3*k = x - h. Suppose 2*o + 3*o = x. What is the smallest common multiple of o and 7?
70
Let q = -9989/3 + 419603/126. What is the common denominator of -31/5 and q?
630
Let a = -38213/55 - -3498/5. Fi | {
"pile_set_name": "DM Mathematics"
} |
se
Which is smaller: 22819 or 22092?
22092
Is 29033 at least 28962?
True
Which is bigger: -94143155 or -188286307/2?
-188286307/2
Does 376 = -50838?
False
Which is smaller: -501.46 or -3/2105?
-501.46
Which is greater: -8283063 or -57981440/7?
-57981440/7
Is -694843 > -15286553/22?
True
Is -994938184 < -994938182?
True
Which is greater: 997/40 or 4.61?
997/40
Which is smaller: 2 or -51960051?
-51960051
Is 1 greater than or equal to 6/413500951?
True
Which is smaller: -9 or -465277?
-465277
Is -2 >= -145516017?
True
Which is smaller: -2 or -3443/4164?
-2
Is -1 greater than -571/319275?
False
Is -34696.123 equal to 10?
False
Are -1320.50273 and 5/2 nonequal?
True
Are -752210/13 and -57863 non-equal?
True
Is -2/5 equal to -8632898?
False
Which is smaller: -15100494/53 or -284915?
-284915
Which is bigger: 24230500 or 24230455?
24230500
Which is smaller: -2661341 or -2661338?
-2661341
Which is greater: -8/197 or 19.439?
19.439
Is 67597/439 != 155?
True
Is -0.1 at least 567.9202?
False
Is 9 greater than or equal to -1458916?
True
Which is smaller: -98298 or -98810?
-98810
Are 170115.92 and -2/11 non-equal?
True
Which is smaller: 0.14127846 or -16?
-16
Which is greater: -528 or 3/47?
3/47
Does 4643357 = -1/3?
False
Which is greater: 1 or -8054058/67?
1
Is -20758584 at least -20758582?
False
Which is greater: -278 or 117533?
117533
Which is bigger: -23496 or -23812?
-23496
Which is smaller: -0.04 or 1/11420?
-0.04
Is 228658 at least 228837?
False
Is 178.4 at most as big as -13550?
False
Does 1 = 510/115111?
False
Which is greater: -1198532 or -49?
-49
Which is smaller: -79 or 283775?
-79
Do 2.1 and -1879376 have the same value?
False
Is -0.03022678 > 115?
False
Which is bigger: -363620/1943 or -186?
-186
Is 2108194 < 2108169?
False
Which is smaller: 1/1285 or 1855?
1/1285
Is -6935669/8 not equal to -866959?
True
Is -98414034/7 at most as big as -14059149?
False
Is -124/5 < -0.085698?
True
Are 2/59385271 and -1 nonequal?
True
Does -652/67 = -2.81?
False
Is 1433651/58 != 24718?
True
Which is bigger: -59398 or -2192?
-2192
Which is greater: -5/79986593 or -1?
-5/79986593
Which is greater: -169477/111 or -1526?
-1526
Which is smaller: -7/3871256 or 1?
-7/3871256
Which is smaller: 31/12603 or 57?
31/12603
Which is greater: 12584/5593 or 2?
12584/5593
Which is bigger: 1773471 or 76?
1773471
Which is smaller: -706211/2308 or -306?
-306
Which is greater: 289 or 130029/448?
130029/448
Is -3755 smaller than -17472?
False
Is -6929891 at least as big as -34649452/5?
False
Is -85395962 greater than or equal to -2?
False
Is -7/83216165 at most as big as 1?
True
Is -109940562 >= -549702816/5?
True
Which is greater: 8375975 or 8375969?
8375975
Is -7155765 at least as big as -0.6?
False
Which is smaller: 7707258 or 7707256?
7707256
Is 8578372 at most as big as 8578374?
True
Is 12293843 at least 12293842?
True
Is 5295946 greater than 21183779/4?
True
Is 519 not equal to -4.41445?
True
Is -3212830 at least -2?
False
Which is smaller: -644 or -4704?
-4704
Which is greater: 43 or 23891/565?
43
Is -4289 < -4632?
False
Is -14956051 at least -14956050?
False
Which is greater: 682538 or 683150?
683150
Which is smaller: 6283156 or 4/3?
4/3
Which is bigger: 196/1940985 or 0?
196/1940985
Which is bigger: -337 or -2417?
-337
Which is smaller: -28507/559 or -52?
-52
Is 1/58362623 greater than or equal to -1?
True
Which is greater: -6187 or -6267?
-6187
Is 124/7 less than or equal to 1980?
True
Which is smaller: -116614685 or -116614684?
-116614685
Which is smaller: 1 or -13/20662237?
-13/20662237
Are -2258850 and -2258869 unequal?
True
Which is smaller: 143241/5087 or 29?
143241/5087
Which is greater: -1 or -4317/101495?
-4317/101495
Are -613 and -34694/13 equal?
False
Which is greater: -56601654 or -56601643?
-56601643
Is 10 at most 29303/2676?
True
Which is smaller: 9567 or 13037?
9567
Is 169813/19 at least 8938?
False
Which is bigger: 78137 or 4380?
78137
Which is smaller: -5936/17447 or 0?
-5936/17447
Which is smaller: 337/194453 or 1?
337/194453
Which is greater: 2 or -2335/74433?
2
Which is bigger: -5016112/3 or -1672036?
-1672036
Do 1663644 and 1663640 have the same value?
False
Which is bigger: -37380/56479 or 0?
0
Is 364022 at least as big as 363795?
True
Is -6931669 not equal to -6931672?
True
Which is smaller: -56558010 or -56558008?
-56558010
Does -0.1 = -165368.8924?
False
Are 1 and -613/2705 non-equal?
True
Which is greater: -1879027 or 2?
2
Which is smaller: -3882 or -3646?
-3882
Is 2/5 at least as big as 22824088?
False
Is -1501285 smaller than -19516704/13?
True
Which is bigger: -19 or 6402938?
6402938
Which is bigger: -4577757 or -4577750?
-4577750
Is -273 smaller than -153375/563?
True
Which is smaller: 432825 or 432826?
432825
Is -5396193 greater than or equal to -5396192?
False
Which is bigger: -33470/1329 or -26?
-33470/1329
Do -8.540382 and -2/23 have the same value?
False
Which is greater: -1110276 or -1110275?
-1110275
Which is greater: 0 or 1273/92596?
1273/92596
Which is bigger: 0.037 or -327300?
0.037
Which is greater: 0 or 2/2165277411?
2/2165277411
Is -189/10 bigger than 0.0872?
False
Which is greater: -3 or -4388/2405?
-4388/2405
Is -7806 bigger than 14225?
False
Which is greater: -185184/11893 or -15?
-15
Which is smaller: -33/1165100 or 0?
-33/1165100
Which is smaller: 0 or 12795/76579?
0
Is -2/167 > -5858/109?
True
Is -350642821 not equal to -350642822?
True
Which is greater: 1659/2 or -324/125?
1659/2
Is 171264 at most as big as 170242?
False
Which is greater: -682 or 32784?
32784
Is 450937 less than 451199?
True
Are -658732 and -658749 equal?
False
Do 316311/13 and 24332 have the same value?
False
Which is greater: -10492538 or -10492540?
-10492538
Which is smaller: 741 or 1081740/1459?
741
Which is greater: 172578 or 173214?
173214
Which is smaller: 94776/581 or 2?
2
Which is greater: 71796027/2 or 35898014?
35898014
Is 1211 bigger than 1753533/1448?
False
Which is smaller: -82/66383 or -1?
-1
Which is greater: 6359770 or 6359766?
6359770
Which is smaller: 102155268 or 0.5?
0.5
Which is bigger: -29936/4729 or -5?
-5
Is 2 greater than or equal to -20836225/3?
True
Are -110673477 and -1 equal?
False
Is 1 bigger than -1040/90449?
True
Are -9312/9493 and 0 non-equal?
True
Is 1 not equal to 10/167907123?
True
Is -3770001 bigger than -3770001?
False
Which is smaller: -825685/8 or -103212?
-103212
Is -1068 <= 196487?
True
Are -20021474/21 and -953403 equal?
False
Which is smaller: 30867378 or 30867379?
30867378
Which is bigger: -114544511 or -114544510?
-114544510
Is 1/47788 smaller than -1951?
False
Is -4/479877 greater than or equal to 1?
False
Which is smaller: 1 or -2/738776645?
-2/738776645
Which is greater: 21325 or 661033/31?
21325
Is 88298383 <= 88298383?
True
Which is smaller: 27616554 or 27616599?
27616554
Which is smaller: 31654645 or 253237157/8?
253237157/8
Is -934 greater than or equal to -652520?
True
Which is smaller: -7690443 or -7690450?
-7690450
Which is smaller: -5 or -8878/1935?
-5
Is 353056325 greater than 1765281618/5?
True
Is 80353104 smaller than -2?
False
Is -36629838 less than -36629836?
True
Is 3768 greater than or equal to -3478?
True
Which is smaller: -185316 or -0.15?
-185316
Which is smaller: 3220 or 1232943/383?
1232943/383
Which is smaller: 2/78331 or -94/3?
-94/3
Is 237339 bigger than 240568?
False
Is 1299082/27 >= 48115?
False
Is 11359973 >= 11359973?
True
Which is smaller: 0.29235 or -537?
-537
Is -28642037 at most as big as -28642036?
True
Is 1 at least -5/67797?
True
Which is bigger: 0 or 1070/56371?
1070/56371
Which is bigger: 2179 or -0.04442?
2179
Is -582/983311 < -1?
False
Is -29/1129 < -5.083?
False
Is -53/2266059 != -1?
True
Which is greater: -5 or -0.2620072?
-0.2620072
Is 19 >= 140146.28?
False
Is -5028 < -4696?
True
Which is smaller: -88314 or 168?
-88314
Which is smaller: 32776300 or 229434094/7?
229434094/7
Which is greater: 46086963 or 46086964?
46086964
Is 2/8835 at least as big as -18765?
True
Which is bigger: 62/855 or 601/5?
601/5
Is 358452141 less than 358452141?
False
Which is smaller: -4960618 or -0.1?
-4960618
Is 92313868/11 greater than or equal to 8392170?
False
Is -73101794 less than -73101796?
False
Which is smaller: 10872900 or -1?
-1
Which is smaller: -0.02589383 or 1?
-0.02589383
W | {
"pile_set_name": "DM Mathematics"
} |
hen i is divided by 2/(-6) + (-56)/(-6).
8
Suppose 45 = 7*l + 8*l. Let x(f) = 11*f + 2. Calculate the remainder when 348 is divided by x(l).
33
Let v(p) = 22*p**2 + 99*p - 1. Let r(x) = -89*x**2 - 394*x + 3. Let f(j) = 2*r(j) + 9*v(j). Calculate the remainder when f(-7) is divided by 20.
16
Let v(z) = -z**3 - 6*z**2 - z + 9. Suppose 16 = 4*m + 28. Let u be v(m). What is the remainder when 100 - (-5)/(u/(-9)) is divided by 13?
12
Let s(v) = -v**3 - 25*v**2 - 14*v + 26. What is the remainder when s(-27) is divided by 27?
26
Let j be 376/(-3)*(-6 - -9). Let g = -341 - j. Calculate the remainder when 174 is divided by g.
34
Suppose 0 = 69*d - 52280 - 98623. Calculate the remainder when d is divided by 155.
17
Suppose -4*s + 4 = j, -2*j - 9*s + 6*s + 8 = 0. Suppose -j*v - 227 + 1679 = -4*y, -1065 = -3*v - 3*y. Calculate the remainder when v is divided by 45.
44
Suppose 5*x - 6 = 9. Suppose -79 - 41 = x*u. What is the remainder when 76 is divided by (1 - (-95)/8) + (-5)/u?
11
Suppose 2*v - 15 + 1 = 0. Suppose 16*o + 10 - 90 = 0. Suppose 3*g = 3*h + 36 - 3, 0 = -o*g - h + 61. What is the remainder when g is divided by v?
5
Let t be (-6)/4*(-16)/12*1. Suppose t*v = -4*u + 584, 7*v - 277 = 6*v + u. Let l(n) = -n**2 - 14*n + 8. Calculate the remainder when v is divided by l(-7).
54
Let s(c) = 2*c**2 - 8*c - 2. Let b(u) = -u**3 + 8*u**2 + 16*u - 34. Calculate the remainder when s(13) is divided by b(3).
55
Let s = 5082 + -4892. What is the remainder when s is divided by 108?
82
Suppose -139 = 6*v - 379. Suppose 3*x + 2*d = -0*x - 14, -5*d + v = -5*x. Let l = 18 + x. What is the remainder when 21 is divided by l?
9
Let r be 4/(28/30359) - (-3 + 8). Suppose -r = -22*u - 328. Calculate the remainder when u is divided by 94.
88
Suppose -5*y = -70 - 735. Suppose 32*z + y = 39*z. Suppose 179 = 3*h + 4*b, 16 = -6*b + 2*b. Calculate the remainder when h is divided by z.
19
Let t(y) = y**2 - 10*y - 31. Let h = -79 - -92. Let p be t(h). Let c = p - 3. Calculate the remainder when 14 is divided by c.
4
Let i = -907 + 1306. Let u = -328 + i. Calculate the remainder when u is divided by 24.
23
Suppose 0 = 17*w - 1173 - 918. Suppose 15*x = 42 + w. Let i(s) = -s + 5. What is the remainder when x is divided by i(0)?
1
Let c = -10691 + 10843. What is the remainder when 1654 is divided by c?
134
What is the remainder when ((-14212)/(-57))/(3/9) is divided by 120?
28
Suppose -2*b - 5*k = 2*b - 24, -12 = -2*b - 4*k. Let u(r) = -r + 59. What is the remainder when u(12) is divided by b?
5
Let d = -525 + 562. Calculate the remainder when 159/(-1 - 5/(-2)) is divided by d.
32
Suppose 230*u - 52252 = -2*u - 7244. What is the remainder when u is divided by 69?
56
Let o(v) = -v**3 - 47*v**2 - 1063. Calculate the remainder when o(-48) is divided by 32.
25
Let u = 223 - 229. Let a(v) = v**2 + 14*v + 59. What is the remainder when 208 is divided by a(u)?
10
Let q = -124 + 182. What is the remainder when 5679 is divided by q?
53
Let y = 7922 + -5485. Calculate the remainder when y is divided by 23.
22
Let g(t) = -348*t - 44. Calculate the remainder when g(-3) is divided by 200.
0
Let p(z) be the first derivative of z**4/4 - z**3/3 + 2*z - 9. Let k be p(2). Calculate the remainder when (-1162)/(-21)*k/4 is divided by 21.
20
Suppose q - 3*f - 206 = 0, 3*f + 789 = 4*q - 2*f. Calculate the remainder when q is divided by 15.
11
Let x(b) = -b**2 - 151*b - 2714. What is the remainder when 839 is divided by x(-130)?
7
Let u = -361 + 329. Let t = u - -168. Calculate the remainder when t is divided by 37.
25
Suppose -k = -5*l - 20, 3*k - 2 = -2*l + 7. Suppose 3*c + 2*t = 979, 51*c + 1352 = 55*c - 4*t. Calculate the remainder when c is divided by k.
1
Suppose 5*q + 3*k = 423, -q = 42*k - 43*k - 91. Calculate the remainder when 7567 is divided by q.
85
Let d be (598/(-8))/(-13) + 3/12. Suppose -115 - 89 = -d*s. What is the remainder when 135 is divided by s?
33
Suppose -11*t - 2*m = -15*t + 1092, -3*t + 819 = 5*m. Calculate the remainder when t is divided by 50 - (-1 - -1) - (10 + -6).
43
Suppose -241 = 96*d - 47*d - 5141. What is the remainder when d is divided by 6?
4
Suppose -89*z + 488647 - 132102 = -28*z. What is the remainder when z is divided by 37?
36
Suppose 21*j - 16*j + 4*x - 510 = 0, -2*x = -5*j + 480. Let a(b) = 18*b - 4. Calculate the remainder when j is divided by a(3).
48
Let c be 1 + (-6 - (-1 - -2 - 3)). Let y = c + 7. Suppose -y*b + 357 = 3*b. What is the remainder when 149 is divided by b?
47
Suppose v - 2*u - 333 - 194 = 0, -527 = -v + 5*u. What is the remainder when v is divided by 8?
7
Let y(d) = -3*d - 18. Suppose -10 = m + 4*s - s, -m - 2*s - 8 = 0. Let x be -3*m*(-2)/3. Calculate the remainder when 27 is divided by y(x).
3
Let m = 2157 + -2143. Calculate the remainder when 825 is divided by m.
13
Let x(d) = 7*d**2 - 1. Suppose -5*n = -97 + 22. Suppose 5*w = n + 10. What is the remainder when x(1) is divided by w?
1
Suppose -6*l - 4*l = 10. Let z be -57 + (l - (-2 + 5 - 2)). Let v = -49 - z. What is the remainder when 27 is divided by v?
7
Suppose 3*i = a - 3, -14 = -4*a + 5*i - 2. What is the remainder when a/((-3)/(-4)) - (-62 - 2) is divided by 24?
20
Let m = 108 - 4. Suppose 4*x + 0*x = m. What is the remainder when x is divided by (-2 - 9 - -13)*((-35)/(-10) - (-10)/20)?
2
Suppose 74468 + 51015 = 116*s - 51417. What is the remainder when s is divided by 30?
25
What is the remainder when 6*(-12)/18 - (-402)/(-12)*-4 is divided by 61?
8
Suppose -2002 = -3*i + v, 0 = -4*i + v + 2599 + 70. Let b = -625 + i. Calculate the remainder when 153 is divided by b.
27
Let n = 590 - 582. Let y(b) = -19*b**3 + b**2 - b - 1. Suppose 4*a + 7 = 3. What is the remainder when y(a) is divided by n?
4
Let t be ((120/18)/(-10))/(2/15). What is the remainder when (6*(-1)/t)/((-42)/(-7700)) is divided by 56?
52
What is the remainder when 129 is divided by (9 - 0)*(-14 + -4*(-144)/27)?
63
Let t = -414 - -1218. Let k = -232 + t. Calculate the remainder when k is divided by 23.
20
Suppose 166663 = 88*k - 44929 + 50464. What is the remainder when k is divided by 80?
71
Let w(d) = -d**3 + 24*d**2 - 21*d + 28. Let s be w(24). Let v = -327 - s. What is the remainder when v is divided by 10?
9
Calculate the remainder when ((-2)/(-4))/((-96161)/32058 - -3) is divided by 434.
365
Let x = 54 - 42. Let m be 2 + x + (-1 - 3). What is the remainder when 17 is divided by (-6)/(-2)*(3 - m/15)?
3
Suppose -j = -3*g - 38, 1 = -3*g + 4*j - 25. Let a = 131 + -118. Calculate the remainder when a is divided by (g/(-6))/(5/15).
6
Let l(u) = -u**3 + 7*u**2 - 4*u - 4. Let r be l(6). Suppose -13*s + 15*s = -r. What is the remainder when (-6)/s*(-1400)/(-30) is divided by 22?
4
Suppose 5*w - 2*a + 1279 = 7134, -5*w + 5825 = 4*a. Calculate the remainder when w is divided by 69.
65
Suppose 3*r = 4*s + 48, 5*r = -4*s - 68 + 20. Let c be s/(-9) + (-3)/9. Calculate the remainder when 19 is divided by 11 + (-1 - c - 2).
5
Let n = -5019 + 5137. Calculate the remainder when n is divided by 19.
4
Let h(k) = 2*k**3 + 22*k**2 - 7*k + 178. Calculate the remainder when 1292 is divided by h(-11).
17
Let u be (3/8*-4)/((-3)/(-724)). What is the remainder when 1258 is divided by (-2)/10 + u/(-10)?
34
Let w be 6/18 + (-1)/3. Suppose 6*t - 12 = -w*t. Suppose 0 = -t*i + 6*i - 128. Calculate the remainder when i is divided by 11.
10
Suppose 2*p + 4*y = 3*p - 13, -2*y = 0. Calculate the remainder when 12663/81 - (592/48 - 11) is divided by p.
12
Let n(t) = -t**3 + 10*t**2 - 5. Let r = 12 - 2. Let x be n(r). Let y(v) = 2*v**2 + 5*v + 12. Calculate the remainder when y(x) is divided by 8.
5
Let k(u) = -590*u + 4737. What is the remainder when 123 is divided by k(8)?
4
Let o be (4 - 4) + 4 + -1 + -1. Calculate the remainder when 190 is divided by o + 43/(-4)*12/(-3).
10
Suppose 17 = 3*w - 64. What is the remainder when (-5)/(4761/(-1179) - -4) is divided by w?
23
Suppose 5*m - 4*z + 0*z - 238 = 0, m - z - 47 = 0. Suppose -m*k + 988 = -24*k. Calculate the remainder when 188 is divided by k.
36
Let j(z) = -z**3 - 10*z**2 - 23*z - 1. Let v be j(-4). Calculate the remainder when ((-67)/4)/(v + 190/40) is divided by 23.
21
Let l be 3 + -2 - 40/(-2). Calculate the remainder when (2/(-4))/(l/(-7056)) is divided by 54.
6
Suppose 44636 = -57*h + | {
"pile_set_name": "DM Mathematics"
} |
0.6
Let r be (-1)/(-1) + 14/(-10). Let t = -0.2 + -2.8. Which is the closest to r? (a) -2 (b) t (c) 0.3
c
Let j = 3742/13 - 288. Let r be (2/(-5))/((-54)/(-30)). Which is the closest to 2/7? (a) j (b) -0.4 (c) r
a
Let i = 115/3 + -38. Let n = 0 - 0.3. Let o = 41/2 - 22. What is the closest to n in o, 3, i?
i
Suppose 8*l - 5*l = 3. Let z = 2.04 + -0.04. What is the closest to 0.1 in z, -2, l?
l
Let f = -54 - -58. Suppose -2*x - 6 = -3*g + x, -2*g = 5*x + 3. Let p be 16/(-20) - 2/(-5). Which is the closest to g? (a) p (b) -1 (c) f
a
Let r(n) = n**3 + 5*n**2 + 5*n + 2. Let m be r(-4). What is the nearest to -0.1 in m, 0.1, 0.4?
0.1
Let x = 0.7 + 2.3. Let j = x + -5. Let m = 0 + 0.5. What is the nearest to 0 in m, j, 3?
m
Let g = -0.1 - 0. Let j be 36/72*(-2)/10*-2. Which is the closest to g? (a) -2 (b) j (c) -0.3
c
Let w be -2 + (-39)/(-9) + -1. Let o = 20 - 16. What is the nearest to 0 in w, -1/2, o?
-1/2
Let o = 6.97 - -0.03. Let i = 7.1 - o. Which is the closest to 1? (a) -0.1 (b) i (c) -1
b
Let t be 3/6*2*-1. Let b = 13.7 - 14.2. Let x = 3 - 2. What is the nearest to t in b, 0.5, x?
b
Let p = -0.3 - -1.3. Which is the nearest to 0.1? (a) 4 (b) 2 (c) p
c
Let k = -0.16 + -4.84. Which is the closest to -1? (a) -2/11 (b) -0.2 (c) k
b
Let n = 4.6 - 5. Let g be (18/189)/((-4)/(-18)). Which is the nearest to g? (a) -3 (b) n (c) -1
b
Let x be ((-3)/9)/(5/(-5)). Which is the nearest to 0? (a) 5 (b) x (c) 3
b
Let z = 0.7 + 4.3. Which is the nearest to 1? (a) 1/3 (b) z (c) -1/6
a
Let w = -0.9 + -0.1. Let d be ((-20)/15)/((-2)/(-42)). Let j be (-2 - -1) + d/(-36). Which is the nearest to w? (a) 3 (b) j (c) 2
b
Let t = -4.99 - 0.01. Which is the closest to 2? (a) 4 (b) -4 (c) t
a
Let m = -14.8 + 13.8. Which is the closest to 0.1? (a) 20 (b) m (c) 1
c
Let d = 12 - 7.9. Let f = d - 4. Which is the closest to f? (a) 1/2 (b) -0.03 (c) 0
c
Let s = -3.2 + 3. What is the nearest to 1/4 in s, -5, 0?
0
Let r be ((-1)/3)/((-66)/(-36)). Which is the nearest to -0.1? (a) r (b) -0.5 (c) -1
a
Let w be (2/(-4))/(5/(-2)). Suppose -2*m + 20 = -0*q + 2*q, -5 = 2*m - 3*q. Which is the closest to w? (a) m (b) -3 (c) 0
c
Suppose 0*u = -3*u - 15. Let h be 3 - 4/12*11. Which is the closest to 1/24? (a) h (b) u (c) 0.1
c
Let k = -4.108 - -0.108. What is the closest to -1/4 in k, -11, 0.5?
0.5
Let n = -4/95 + -3/19. What is the nearest to 0 in -4/21, -1, n?
-4/21
Let y = -174/473 - -8/43. What is the closest to -1/6 in 0.5, y, 4?
y
Let k = -13/3 - -4. Which is the closest to -2? (a) 4 (b) k (c) -1
c
Let x = 313 - 317. Let b = 45 + -40.4. Let z = b + -5. What is the closest to -0.1 in 1/2, z, x?
z
Let f = 21.6 + -22.6. Let j = 5 + -2. What is the nearest to f in j, 0.2, 2?
0.2
Let l = 12.95 + 0.05. Let v = 8 - l. Suppose 0 = 3*r - 4*r - 2. Which is the closest to -1/4? (a) -1 (b) r (c) v
a
Suppose -2 + 23 = 4*p + d, 2*d - 26 = -4*p. What is the closest to 2 in -3/7, 3, p?
3
Let r = -0.2 + 0.2. Let q = 6.531 + 0.069. Let i = q - 7. Which is the closest to r? (a) 1/7 (b) -0.5 (c) i
a
Let n = -155/2 - -79. Which is the nearest to n? (a) -1 (b) 0 (c) -0.1
b
Let t = 0.2 - 1.2. Let k = 1.1 + -0.9. What is the closest to t in 0.4, k, -4?
k
Let x = -29 - -33. Let k = -6 + 6. Let v = k + 0. Which is the closest to v? (a) 1 (b) x (c) 0.2
c
Let r = 0.57 + -0.3. Let a = -0.17 + r. Let j = 4 + -4.4. What is the closest to a in j, 4/7, 1?
4/7
Let m = -55.2 - -55. Which is the nearest to 1/2? (a) m (b) 2 (c) 4
a
Let w = 38 + -38.5. Which is the closest to 0? (a) w (b) 8 (c) 2/5
c
Suppose 3*y - 3 = -2*s + 6*y, 3*y = -4*s - 3. Let l(j) = j**2 - 3*j - 4. Let w be l(-2). Which is the nearest to -0.1? (a) s (b) w (c) 3
a
Let w = -106 - -207/2. Let u = -0.16 + 0.06. Which is the closest to -0.1? (a) w (b) -0.3 (c) u
c
Suppose -3*k = 2*k - 20. Suppose 0 = -r + 2, -2*z = -k*z + r + 12. Suppose -2*t - 3 = -z. What is the closest to t in 2/7, -0.4, 0.3?
0.3
Let w = -49/36 - -10/9. Let j = 0.08 + -3.08. Which is the closest to 0.1? (a) 0.1 (b) j (c) w
a
Let t be -3*220/(-210) - (3 + 0). Let u be 24/14 + (-2)/(-7). Suppose 3*z - 4*z = -u. Which is the closest to -0.1? (a) t (b) 3 (c) z
a
Let q(x) = 7*x**2 - 3*x + 1. Let r be q(2). Let j = r - 71/3. Which is the closest to 1/4? (a) 6/11 (b) -3 (c) j
a
Let j = -0.03 - -2.03. Let h = 3 + j. Let o = -16/5 + 101/30. What is the nearest to 0.3 in -2, h, o?
o
Let v = -12/25 - -158/225. Suppose -2*h = 2 - 0. What is the closest to v in h, 2/3, 0?
0
Let x be ((-4)/(-5))/((-15)/(-75)). Which is the nearest to x? (a) 1/3 (b) -1 (c) -2/7
a
Let i = -13 + 12.85. Let v = i + 0.15. Let z = 4.8 - 0.8. Which is the closest to v? (a) 2/13 (b) -0.1 (c) z
b
Let x(n) be the first derivative of n**2/2 - 4*n - 2. Let m be x(5). Which is the closest to -0.1? (a) 2/7 (b) -3 (c) m
a
Let d = -88 + 88.1. Which is the nearest to 1/4? (a) -0.5 (b) 1/5 (c) d
b
Let q be 0 - (2 + (-8)/3). Let s be (((-84)/(-10))/7)/((-27)/30). Which is the nearest to q? (a) -1/4 (b) 4 (c) s
a
Let h = -51 + 56. Let o = -7.3 - -7. Which is the nearest to -0.1? (a) o (b) -5 (c) h
a
Let t be 1/2 - (3/(-3))/2. What is the closest to 1 in -1, -6, t?
t
Let x = -0.3 - 6.7. Let t = x + 8. Which is the nearest to t? (a) 0 (b) 4 (c) -1
a
Let j = -463/4 + 141/4. Let x = j + 79. What is the nearest to -0.1 in 1/9, x, 0.4?
1/9
Let v = -35/4 + 229/28. What is the nearest to 3 in 4/9, 3, v?
3
Suppose -6 - 9 = k - 4*n, -21 = 3*k - 4*n. Let i = 0.2 + 0. What is the nearest to 1/2 in k, 3/8, i?
3/8
Let k = -17 + 30. Let g = 13.2 - k. Let o = 0.03 - 0.33. What is the closest to g in -4, 2/3, o?
2/3
Let v = 33 - 69/2. Let d = -0.3 - -0.1. Let n = -5.4 + 5.9. Which is the nearest to 1/4? (a) d (b) n (c) v
b
Let w = -1.2 - -0.2. Let u = 9 + -9.2. Let f = u - -1.2. Which is the nearest to f? (a) 3/7 (b) w (c) 2
a
Let p = -0.89 + -0.11. Let y = -1 - -4. Which is the closest to p? (a) 2/3 (b) -2/5 (c) y
b
Let d = -0.146 + -0.054. What is the closest to -0.01 in -2, d, 1/7?
1/7
Let h be (-132)/320 - (-3)/15. Let q = h + 5/16. Let z = 6.7 + -7. Which is the nearest to 0.1? (a) 3 (b) q (c) z
b
Let b = 157/9 + -17. Let s = 10/9 - b. What is the nearest to 0 in 2/17, s, 2?
2/17
Let p = -26 + 23. Which is the nearest to 1/4? (a) -2/3 (b) p (c) 4
a
Let j(s) = -2*s**2 + 3*s + 2. Let k be j(3). Let n = 34/5 + k. Let g be (-1)/(-2) + (-6)/8. Which is the closest to g? (a) -4 (b) n (c) 0.2
b
Let o = 1 - 0.9. Let i = o - 0.2. Let f = 0.091 + 0.309. What is the nearest to i in f, -0.1, 5?
-0.1
Let w = 1.2 + -1. Let g = 0.16 + -0.46. Let d = g - w. Which is the closest to -0.2? (a) 1 (b) -5 (c) d
c
Let h = 0.03 + 0.17. Which is the closest to -0.1? (a) 3 (b) h (c) 0
c
Let b = 13/14 + -10/7. Let y = 4 + -8. Let q = 5 + y. What is the nearest to -1 in -1, b, q?
-1
Suppose -y + 7*n - 2*n = 19, 0 = 4*y - 4*n - 4. What is the nearest to y in -2, -5, -2/7?
-2/7
Suppose -3*f = -3 - 3. Which is the closest to 0.1? (a) f (b) 1.5 (c) -0.5
c
Let k = -19/12 + 4/3. Let t = -3 + 7. Which is the nearest to -1/3? (a) -3 (b) k (c) t
b
Let y = -2 + 1.5. Let m = 0.059 + 0.041. Which is the closest to 1/3? (a) -4 (b) y (c) m
c
Suppose -h - 17 = -j - 3*j, -3*h - j = -1. Which is the closest to -1/5? (a) -2/5 (b) 2 (c) h
a
Let k = 0.3 + 0.7. Let m = -0.63 + 0.53. Which is the nearest to k? (a) m (b) 5 (c) -5
a
Let q = 22.9 - 23. Let d(r) = -r**3 - r**2 + r. Let g be d(-2). Which is the nearest to 0? (a) 0.2 (b) g (c) q
c
Let k = 0 - -1. Let u = k + -1.1. What is the closest to u in 2, -4, -0.5?
-0.5
Suppose 4*w - 12 = 2*n, -3*w + n = -9 - 0. Suppose h = w*h - 4*p - 24, -2*p - 4 = h. Let z be (1/(-3))/(h/(-3)). What is the closest to z in 0.3, 1, -0.2?
0.3
Suppose v - 37 = -36. Which is the closest to 1? (a) v (b) -1/3 (c) -0.4
a
Let i be (-7)/6*3/21. Let z = 3.8 + 1.2. What is the nearest to -2 in 0.2, z, i?
i
Let d = -4.3 - -3.8. Let s = 5 - 3. Suppose -3 = 5*b + s. What is the closest to -2 in d, b, 0.2?
b
Let p be ((-22)/(-165))/(1/(-5)). Let d = 6 - 5. Which is the closest to d? (a) p (b) -1 (c) -2/5
c
Suppose -4*t - 3 + 15 = 0. Let k be t - (-1 + 3) - 1. Let q be (-9)/(-9) - (0 + 1). Which is the nearest | {
"pile_set_name": "DM Mathematics"
} |
litres.
953.5732
How many months are there in 13/5 of a millennium?
31200
How many minutes are there in 1/24 of a day?
60
How many grams are there in 7750.513 kilograms?
7750513
How many litres are there in 67.22015ml?
0.06722015
What is 18/5 of a millennium in months?
43200
How many meters are there in 6.340847mm?
0.006340847
What is 6060.259 nanograms in milligrams?
0.006060259
How many millilitres are there in 97920.76l?
97920760
Convert 23.23741 kilograms to grams.
23237.41
How many seconds are there in 7/2 of a minute?
210
What is 27/5 of a meter in centimeters?
540
Convert 7.637801kg to grams.
7637.801
What is 4/15 of a hour in seconds?
960
What is 467.6304ml in litres?
0.4676304
What is 29/5 of a minute in seconds?
348
What is 404.8996 tonnes in kilograms?
404899.6
How many litres are there in 167.0415ml?
0.1670415
Convert 5061.907us to nanoseconds.
5061907
How many decades are there in twenty-nine halves of a millennium?
1450
Convert 2.38707t to grams.
2387070
What is 25/2 of a microgram in nanograms?
12500
What is 131030.94 months in decades?
1091.9245
Convert 610.4973 months to years.
50.874775
How many weeks are there in 166608.6408 milliseconds?
0.00027547725
How many months are there in 1/4 of a decade?
30
How many months are there in 824.6244 centuries?
989549.28
What is 25/4 of a week in minutes?
63000
How many seconds are there in 1/6 of a day?
14400
How many millilitres are there in seven halves of a litre?
3500
How many meters are there in 18/5 of a kilometer?
3600
How many millilitres are there in three tenths of a litre?
300
How many millilitres are there in fourty-eight fifths of a litre?
9600
What is 89356.58 days in seconds?
7720408512
How many milliseconds are there in 37.6697 weeks?
22782634560
How many years are there in seventy-six fifths of a decade?
152
What is 64.7982 millennia in decades?
6479.82
How many millimeters are there in 180.8115 micrometers?
0.1808115
What is 0.2453417 years in centuries?
0.002453417
What is 57/2 of a millimeter in micrometers?
28500
What is eleven halves of a tonne in kilograms?
5500
What is 3261.089 tonnes in milligrams?
3261089000000
What is thirty-four fifths of a millisecond in microseconds?
6800
What is 3.481447 decades in months?
417.77364
How many centimeters are there in 1/4 of a kilometer?
25000
Convert 683.2148 litres to millilitres.
683214.8
What is one eighteenth of a hour in seconds?
200
What is 18/5 of a kilometer in meters?
3600
How many litres are there in 8.906504ml?
0.008906504
What is one quarter of a millimeter in micrometers?
250
How many millilitres are there in 11/4 of a litre?
2750
How many nanoseconds are there in seventy-five quarters of a microsecond?
18750
Convert 861.6164ng to milligrams.
0.0008616164
How many litres are there in 5.456565ml?
0.005456565
What is 529446.24 nanoseconds in days?
0.00000000612785
How many millilitres are there in twenty-one eighths of a litre?
2625
What is 21/2 of a microgram in nanograms?
10500
How many micrometers are there in 33/5 of a centimeter?
66000
How many nanometers are there in 6/25 of a micrometer?
240
How many months are there in 6/25 of a century?
288
What is twenty-five halves of a meter in millimeters?
12500
What is 430050.2ng in kilograms?
0.0000004300502
What is 892395.6 months in millennia?
74.3663
How many millimeters are there in 2117.528nm?
0.002117528
What is 41/2 of a kilometer in meters?
20500
How many milligrams are there in 7.972268 tonnes?
7972268000
What is 3/5 of a meter in centimeters?
60
What is 51/4 of a millennium in years?
12750
How many years are there in 3/10 of a millennium?
300
Convert 9.618699l to millilitres.
9618.699
Convert 55.89983 milligrams to nanograms.
55899830
How many kilograms are there in 8.701335ug?
0.000000008701335
What is 0.7594764cm in micrometers?
7594.764
How many grams are there in seventy-one quarters of a kilogram?
17750
How many minutes are there in twelve sevenths of a week?
17280
How many minutes are there in seven quarters of a hour?
105
What is 92914.88l in millilitres?
92914880
Convert 2710750.5 minutes to days.
1882.465625
How many minutes are there in 27/5 of a day?
7776
What is sixteen fifteenths of a day in seconds?
92160
What is 1/16 of a minute in milliseconds?
3750
How many grams are there in thirteen eighths of a kilogram?
1625
What is 3/40 of a milligram in nanograms?
75000
What is 49/4 of a millisecond in microseconds?
12250
What is 3/8 of a decade in months?
45
How many years are there in twenty-one fifths of a millennium?
4200
Convert 373752.9ml to litres.
373.7529
What is three tenths of a kilometer in centimeters?
30000
What is 17/4 of a litre in millilitres?
4250
What is 87.13653ng in grams?
0.00000008713653
What is 1.306323 millennia in years?
1306.323
What is 45/2 of a litre in millilitres?
22500
How many decades are there in 33/5 of a millennium?
660
How many minutes are there in 1/30 of a hour?
2
How many seconds are there in 2/9 of a day?
19200
What is 469.565 meters in millimeters?
469565
How many millilitres are there in three fifths of a litre?
600
How many hours are there in 98.15445 minutes?
1.6359075
How many decades are there in 52.74671 centuries?
527.4671
How many millilitres are there in 1/5 of a litre?
200
How many years are there in 676277.2 centuries?
67627720
How many milliseconds are there in four thirds of a minute?
80000
What is 6.598473 milligrams in kilograms?
0.000006598473
What is three tenths of a second in milliseconds?
300
How many litres are there in 200.4545ml?
0.2004545
How many millimeters are there in twenty-six fifths of a meter?
5200
How many months are there in 45/2 of a decade?
2700
How many litres are there in 52.3679 millilitres?
0.0523679
How many millilitres are there in three tenths of a litre?
300
How many nanograms are there in 1/4 of a microgram?
250
What is 2.586357s in microseconds?
2586357
Convert 80958.85 decades to millennia.
809.5885
How many millilitres are there in three fifths of a litre?
600
What is twenty-nine fifths of a kilometer in meters?
5800
How many litres are there in 34.9132 millilitres?
0.0349132
What is 371381.5mg in nanograms?
371381500000
What is one tenth of a gram in milligrams?
100
How many kilometers are there in 703050.6 meters?
703.0506
How many litres are there in 40.4385 millilitres?
0.0404385
How many nanograms are there in 11/4 of a microgram?
2750
What is seven eighths of a litre in millilitres?
875
Convert 0.2318872 grams to tonnes.
0.0000002318872
How many millilitres are there in 3.036049l?
3036.049
What is 782.9439 millilitres in litres?
0.7829439
What is 3/40 of a litre in millilitres?
75
How many kilometers are there in 41.0229 nanometers?
0.0000000000410229
Convert 41.7282ml to litres.
0.0417282
Convert 43.48671 micrometers to centimeters.
0.004348671
How many kilograms are there in 17/4 of a tonne?
4250
What is 13/8 of a millisecond in microseconds?
1625
What is 39917.69 litres in millilitres?
39917690
What is 83.70168 months in decades?
0.697514
What is 47.28551 hours in minutes?
2837.1306
How many days are there in sixty-six sevenths of a week?
66
How many centimeters are there in 0.8173444m?
81.73444
How many grams are there in twenty-one halves of a kilogram?
10500
How many millilitres are there in 61/4 of a litre?
15250
How many nanograms are there in 1/10 of a microgram?
100
What is 27.00354 centuries in years?
2700.354
How many millilitres are there in 54/5 of a litre?
10800
What is 5/8 of a decade in months?
75
Convert 2231.8014 months to decades.
18.598345
What is 690.8934 litres in millilitres?
690893.4
How many months are there in 1/15 of a decade?
8
Convert 98.05279s to nanoseconds.
98052790000
Convert 2.508875g to kilograms.
0.002508875
Convert 6014.8521us to hours.
0.00000167079225
Convert 7.909031 millilitres to litres.
0.007909031
What is 11/10 of a second in milliseconds?
1100
How many micrometers are there in 7699.8nm?
7.6998
What is 47731.1 tonnes in grams?
47731100000
What is 7.0185042s in hours?
0.0019495845
What is fourty-two fifths of a millimeter in micrometers?
8400
How many months are there in 17/2 of a century?
10200
What is 4/15 of a day in seconds?
23040
What is 9.439269 decades in months?
1132.71228
What is 13/5 of a meter in | {
"pile_set_name": "DM Mathematics"
} |
- 1)**2*(s + 9)/7
Let y(x) be the first derivative of -3/5*x**5 + 10 + 0*x + 3/4*x**4 + 0*x**3 + 0*x**2. Find d, given that y(d) = 0.
0, 1
Let d(v) = -v**3 + v**2 + 22*v - 10. Let u be d(5). Let n(f) be the third derivative of 1/80*f**6 - 3*f**2 + 0*f + 0 + u*f**4 + 0*f**5 + 0*f**3. Factor n(o).
3*o**3/2
Let x be ((-8)/5 - -2)/((-10)/(-100)). Determine j so that 23*j**4 - j**5 - 4*j - 54*j**x - 13*j**2 + 0*j**2 - 15*j**3 + 24*j**4 = 0.
-4, -1, 0
Let j(s) be the second derivative of s**7/42 + 2*s**6/15 + s**5/5 - s**4/6 - 5*s**3/6 - s**2 - 72*s. Let j(w) = 0. Calculate w.
-2, -1, 1
Let z(p) be the first derivative of -3*p**5/40 + 15*p**4/16 - 33*p**3/8 + 27*p**2/4 - 857. Factor z(t).
-3*t*(t - 4)*(t - 3)**2/8
Let v(y) be the first derivative of y**3 - 3*y**2 + 24 + 3/4*y**4 + 0*y. Suppose v(a) = 0. What is a?
-2, 0, 1
Let p(h) be the first derivative of -4*h**6/15 + 14*h**5/25 + 9*h**4/20 - 11*h**3/15 + h**2/5 + 465. Find v, given that p(v) = 0.
-1, 0, 1/4, 1/2, 2
Let x(o) be the second derivative of o**7/252 + o**6/180 - 22*o. Determine r so that x(r) = 0.
-1, 0
Let i(p) be the second derivative of p**8/2688 - p**7/840 + p**5/240 - p**4/192 - 4*p**2 + 8*p. Let z(g) be the first derivative of i(g). Factor z(v).
v*(v - 1)**3*(v + 1)/8
Suppose 10 - 17 = 4*u + 5*l, 5*u - 5*l = 25. Factor 1/2*m**u + 0 - m.
m*(m - 2)/2
Suppose 0*z - z + m = -3, 0 = -3*z + 2*m + 10. Determine b, given that -16*b**3 + 529*b**5 - 10*b**z + b - b - 531*b**5 - 8*b**2 = 0.
-2, -1, 0
Let z be (-108)/(-352) + (-3)/24 - (-340)/187. Factor -z*b + 0 + 4/3*b**2 + 2/3*b**3.
2*b*(b - 1)*(b + 3)/3
Suppose 5*y + 7 - 17 = 0. Suppose 6 = y*c + 2. Factor 13 - 4 - 3*k - 6*k**2 + 0*k**c + 0*k**2.
-3*(k - 1)*(2*k + 3)
Find q, given that -12/5 - 58/5*q - 8/5*q**3 - 42/5*q**2 = 0.
-3, -2, -1/4
Let n(v) be the third derivative of v**7/42 - v**5/12 - 140*v**2. Factor n(x).
5*x**2*(x - 1)*(x + 1)
Let z(f) be the first derivative of -f**4/4 - 2*f**3/3 + 10*f**2 - 24*f + 26. Solve z(i) = 0 for i.
-6, 2
Let i(p) = -2*p**3 - 2*p**2 - 2*p. Let l(y) = 14*y**3 - 121*y**2 + 77*y + 66. Let j(b) = 6*i(b) + l(b). Factor j(m).
(m - 66)*(m - 1)*(2*m + 1)
Let k(n) = -7 - 4*n - 5*n + 8*n. Let p be k(-4). Let v(w) = 7*w**2 + 2*w. Let g(y) = -6*y**2 - 3*y. Let h(s) = p*v(s) - 4*g(s). Factor h(m).
3*m*(m + 2)
Let s(y) be the third derivative of -y**5/60 - 5*y**4/12 + y**3 - 2*y**2. Let r be s(-6). Factor r*f**2 - 5 - 28*f**2 + 3.
2*(f - 1)*(f + 1)
Find q, given that 1/5*q**4 - 2/5*q + 0 + 2/5*q**3 - 1/5*q**2 = 0.
-2, -1, 0, 1
Let j(t) be the first derivative of -t**5/60 - 7*t**4/24 - t**3 + t**2/2 - 9. Let y(p) be the second derivative of j(p). Factor y(f).
-(f + 1)*(f + 6)
Suppose -6751*n = -6753*n + 4. Factor 0*a**4 + 0*a + 0 + 0*a**n - 1/4*a**5 + 1/4*a**3.
-a**3*(a - 1)*(a + 1)/4
Let h = -26673/11 + 2425. Factor h - 2/11*b**2 + 0*b.
-2*(b - 1)*(b + 1)/11
Let g(w) = -24*w**2 - 16*w + 14. Let d(p) = 12*p**2 + 8*p - 8. Let l(x) = 7*d(x) + 4*g(x). Solve l(j) = 0 for j.
-2/3, 0
Let y be 204/255*10/96. Let u(m) be the first derivative of -1/20*m**5 + 0*m**2 + y*m**3 + 1/24*m**6 + 0*m - 1/16*m**4 + 7. Solve u(j) = 0.
-1, 0, 1
Let l = 16 + -21. Let u(c) = c**4 + 3*c**3 + c**2 + 3*c - 8. Let m(k) = -k**3 + 1. Let a(r) = l*u(r) - 30*m(r). What is s in a(s) = 0?
-1, 1, 2
Let o(u) be the second derivative of -5*u + 0*u**3 - 1/100*u**5 - u**2 + 0 + 0*u**4. Let l(s) be the first derivative of o(s). Factor l(j).
-3*j**2/5
Let l(u) be the third derivative of u**7/60 + 47*u**6/240 + 21*u**5/40 + 13*u**4/48 - 5*u**3/6 + 15*u**2 - 2. Factor l(i).
(i + 1)**2*(i + 5)*(7*i - 2)/2
Let z(m) = -5*m**2 + 137*m - 977. Let p(f) = -5*f**2 + 138*f - 978. Let s(h) = 3*p(h) - 2*z(h). Let s(i) = 0. What is i?
14
Let l(j) = -j**2 - 11*j + 26. Let v be l(2). Let o(i) be the third derivative of 0*i**5 + 0*i**3 + v + 1/36*i**4 - 1/180*i**6 + 0*i - 6*i**2. Factor o(f).
-2*f*(f - 1)*(f + 1)/3
Let q(r) be the first derivative of 3/2*r**2 + r**3 - 1/8*r**4 - 5 - 1/20*r**5 + 0*r. Let f(u) be the second derivative of q(u). Factor f(j).
-3*(j - 1)*(j + 2)
Let w(z) be the third derivative of 0 + 1/120*z**5 + 25/3*z**3 + 0*z + 5/12*z**4 - 10*z**2. Let w(f) = 0. Calculate f.
-10
Let t = -29641/5 + 5929. What is d in 0 - 4/5*d + t*d**3 + 6/5*d**2 = 0?
-2, 0, 1/2
Let k be -4*-2*(239/(-80) + 3)*6. Determine y so that k*y + 4/5*y**2 + 1/5*y**3 + 0 = 0.
-3, -1, 0
Suppose 0 = 112*x + 148*x - 780. Find u, given that -280/11*u - 374*u**x + 16/11 + 242*u**4 + 156*u**2 = 0.
2/11, 1
Let b(c) be the third derivative of c**7/1470 + c**6/210 - c**5/35 - 4*c**4/21 + 32*c**3/21 + 39*c**2 + 2. Determine f, given that b(f) = 0.
-4, 2
Let g(u) be the second derivative of -u**7/98 - u**6/35 + 3*u**5/20 - u**4/7 - 63*u - 1. Find h, given that g(h) = 0.
-4, 0, 1
Solve 6/17*v**3 - 2/17*v**2 - 4/17*v + 0 + 2/17*v**4 - 2/17*v**5 = 0 for v.
-1, 0, 1, 2
Let v be (-2 - 4*-3) + 0/(-6). Let 5*d**2 + 3*d + 4*d**2 + 6*d**3 + 10*d**2 - v*d**2 = 0. Calculate d.
-1, -1/2, 0
Let p(b) = 4*b**2 + 40*b - 6. Let w(g) = g**2 - 2. Let y(l) = -p(l) + 2*w(l). Let i be y(-20). Find q such that -2/5*q + 0 + 2/5*q**i = 0.
0, 1
Solve -3/4*h**4 - 3/4 + 0*h + 3/2*h**2 + 0*h**3 = 0 for h.
-1, 1
Suppose 1 - 3/2*h**2 + 1/2*h = 0. What is h?
-2/3, 1
Let h(k) = -k**2 + 9*k - 21. Let w be h(5). Let g be w/(-4) + (-2)/8. What is x in -1/2*x**3 + 0 + g*x**4 + 0*x**2 + 1/4*x**5 + 1/4*x = 0?
-1, 0, 1
Let u(b) = -10*b**3 + 14*b**2 + 40*b. Let q(r) = -r**3 + 2*r**2. Let f(k) = -8*q(k) + u(k). Factor f(s).
-2*s*(s - 4)*(s + 5)
Let u(a) be the first derivative of 2*a**5/35 - 2*a**4/7 - 12*a**3/7 - 20*a**2/7 - 2*a + 25. Let u(k) = 0. What is k?
-1, 7
Let x = -1/240 - -2521/240. Let q be ((-209)/5)/19*(-195)/26. Solve -x*u**2 - 3 - q*u + 33/2*u**3 + 27/2*u**4 = 0 for u.
-1, -2/9, 1
Let a(k) be the second derivative of 5/2*k**3 + 1/4*k**4 + 0 - 13*k + 9*k**2. Factor a(v).
3*(v + 2)*(v + 3)
Let m(p) be the third derivative of p**7/1995 - 3*p**6/380 - 7*p**5/190 - 11*p**4/228 + 61*p**2. Factor m(b).
2*b*(b - 11)*(b + 1)**2/19
Let q(s) = s**2 + 5*s - 2. Let t(g) = 3*g. Let d be t(-2). Let r be q(d). Factor -2*x**2 - 2*x**4 + 2*x**r - 2*x**4 - 4*x**3.
-2*x**2*(x + 1)**2
Let q(b) be the first derivative of -5*b**3/3 - 150*b**2 - 4500*b - 138. Factor q(w).
-5*(w + 30)**2
Let q(x) be the second derivative of x**4/48 - 79*x**3/24 - 10*x**2 - 572*x. Factor q(w).
(w - 80)*(w + 1)/4
Solve -52*y**3 + 3*y**5 - 144*y**3 - 48*y + 14*y**2 - 8*y**4 + 23*y**5 + 210*y**2 + 2*y**5 = 0 for y.
-3, 0, 2/7, 1, 2
Solve 0 - 1/4*s**2 - 39/2*s = 0.
-78, 0
Let q(p) be the first derivative of 5 + 1/5*p**5 + 0*p**3 + 3/4*p**4 - 2*p**2 + 0*p. Determine a so that q(a) = 0.
-2, 0, 1
Suppose 5*y + 3*a + 3 = 0, 5*y + 0*a - 5*a - 45 = 0. Factor 4/7*h**2 - 2/7*h - 2/7*h**y + 0.
-2*h*(h - 1)**2/7
Let f(w) = -6*w - 4. Let h(o) = -o**2 + 4*o - 5. Let l be h(2). Let y be f(l). Factor -1/7*k**y + 1/7*k + 1/7*k**4 - 1/7*k**3 + 0.
k*(k - 1)**2*(k + 1)/7
Suppose 42*m**3 + 882/19*m**2 - 82/19*m**4 + 2/19*m**5 + 0 + 0*m = 0. Calculate m.
-1, 0, 21
Let m be ((-564)/63 - -9)/(2*1). Let u(n) be the third derivative of 1/24*n**6 + 0*n**3 + 0*n**5 + 0*n**4 + m*n**7 + 0*n + 0 + 4*n**2. Factor u(q).
5*q**3*(q + 1)
Let p(u) be the third derivative of -u**7/504 - u**6/144 - 13*u**4/24 + 15*u**2. Let q(r) be the second derivative of p(r). Factor q(z).
-5*z*(z + 1)
Let i be (213/78 + -3)*-1. Let w(v) be the first derivative of -4 + i*v**4 + 0*v**2 - 2/13*v**3 - 4/65*v**5 + 0*v. Suppose w(l) = 0. What is l?
0, 1/2, 3
Let s be (6*3/27)/((-14)/(-6)). Suppose 355*b - 354*b - 2 = 0. Find m, given that s*m**3 - 2/7*m + 0*m**b - 1/7 + 1/7*m**4 = 0.
-1, 1
Let b(c) be the third derivative of c**8/168 + c**7/35 - c**6/6 + c**5/15 + 3*c**4/4 - 5*c**3/3 + 8*c**2 - 1. Factor b(q).
2*(q - 1)**3*(q + 1)*(q + 5)
Factor 28*r**2 - 64*r + 23 + 36 - 11 - 3*r**3 - r**3.
-4*(r - 3)*(r - 2)**2
Suppose x - 2*s - 3*s = -16, 5*s - 10 = 0. Let y = -16/3 - x. Factor -8/3 - y*v**2 + 8/3*v.
-2*(v - 2)**2/3
Let d(v) be the first derivative of -2*v**3/51 + 2*v**2/17 + 286*v/17 + 301. Solve d(t) = 0.
-11, 13
Let v(g) be the third derivative of 1/3*g**4 + 0*g - 8/9*g**3 + 1/180*g**6 - 1/15*g**5 + 0 + 8*g**2. Factor v(f).
2*(f - 2)**3/3
Let j be (-490)/(-28)*16/21. Factor -j*f + 8/3 + 6*f**2.
2*(f - 2)*(9 | {
"pile_set_name": "DM Mathematics"
} |
544, -y - a = 27 - 165. Suppose 0*c - 2*c - 2 = 0. Let i = y - c. What is the tens digit of i?
4
Let a(p) = 124*p**2 + p + 6. What is the tens digit of a(4)?
9
Let j = 70446 + -45137. What is the units digit of j?
9
Suppose 31485 = -29*o + 32*o + 4*f, -4*o + 2*f + 41936 = 0. What is the thousands digit of o?
0
Let s(y) = 10*y**2 - 4*y + 3. Let n be s(5). Suppose -3*h = -4*h - n. Let c = -127 - h. What is the hundreds digit of c?
1
Let u(m) be the third derivative of 10*m**2 - 17/6*m**4 + 0*m + 1/3*m**3 + 0. What is the units digit of u(-2)?
8
Let g be -4 - -13 - 6 - 0. Let w(r) = 148*r**2 + 5*r - 8. What is the units digit of w(g)?
9
Let y be (81/(-15) - -5)*-10. Suppose -y*i - 5*a - 29 + 552 = 0, -3*a = 4*i - 525. What is the units digit of i?
2
Let k be (-2 - 4/(-1)) + -142. What is the units digit of 14/((-4)/(-2))*(-9400)/k?
0
Let g(m) = 8*m**3 - 23*m**2 - 30*m + 42. Let q be g(8). Suppose -3*o + 605 = z, -3*z - o - 608 = -2439. Suppose -15*n - z = -q. What is the tens digit of n?
2
Let o be (2 - 24/8)/(1/(-2)). Suppose 5*w - o*f = 3*f + 1930, -f + 1948 = 5*w. What is the hundreds digit of w?
3
Let h be 2 - 5 - (-6 - 9). Suppose -h*s = -32*s + 5820. What is the tens digit of s?
9
Let w be 36/(-27)*3/(-2). Let x be w/(-4) + 243/6. Let p = -29 + x. What is the units digit of p?
1
Let z be -1342 + -5 - (0 + 7). Let t = 330 - z. What is the tens digit of t?
8
Suppose -19*l = -24*l + 150. Let a = -28 + l. Suppose -4*h = 0, -a*o + 3*o + h = 15. What is the tens digit of o?
1
Let c(v) = -v + 2. Let a be c(3). What is the tens digit of 7 + (a - 1) - -28?
3
Let y = 225007 - 149462. What is the ten thousands digit of y?
7
Suppose -3*z - 2*q + 6 = 0, -4*z + 8 = 6*q - 11*q. Let d be 168/z + 3 + 5. Let v = 114 - d. What is the units digit of v?
2
Suppose 1510834 + 1624766 = 234*s. What is the units digit of s?
0
Let w(n) = -n**3 - 7*n**2 - n + 8. Let h be w(-7). Let s = -141 - -139. What is the tens digit of s + h/3 - -82?
8
What is the hundreds digit of -4 + 205013/7 - (-1)/(-14)*-6?
2
Suppose -6*h = -12*h. Suppose h = 7*j - 6*j - 2. What is the tens digit of 76 + 5 - (3 - j - -2)?
7
Suppose -2*i + j + 1108 = 0, i - 692 = -5*j - 127. Suppose i = 3*l + 6. Suppose 49 = 4*g - l. What is the units digit of g?
8
Let q = 1357 + 543. What is the tens digit of q?
0
Let l = 46 - 18. Let c = l - 26. Suppose -3*h = -c*f + 128, 4*f - 364 = 3*h - 108. What is the units digit of f?
4
Let h(q) = 5*q**2 - 22*q + 819. What is the hundreds digit of h(36)?
5
Let y(n) = -n**2 + 5*n - 13. Let z be y(4). Let c be 110*(1 - z/(-15)). What is the units digit of (-21)/((16 + -17)/(c/6))?
4
Let q(d) = 2113*d - 1243. What is the hundreds digit of q(4)?
2
Let a = -5689 + 10522. What is the hundreds digit of a?
8
Suppose 86797 = 5*i - t, 29*t = -4*i + 26*t + 69430. What is the ten thousands digit of i?
1
Suppose 27*y - 336 = 15*y. Let o be 2 + 6 + 3 + -6. Suppose -o*l + y + 152 = 0. What is the tens digit of l?
3
Let j = 653 + -648. Suppose j*a = -3 - 12, 4*x + 5*a = 1725. What is the tens digit of x?
3
Let a(f) = -2*f**3 + 121*f**2 + 273*f + 37. What is the tens digit of a(62)?
3
Let z(q) = 28*q**2 + 2*q - 6. Suppose -7*g - 30 = 5*o - 5*g, 0 = -4*o + 4*g + 4. What is the hundreds digit of z(o)?
4
What is the units digit of (-5 + -2 - 1) + (2 - -6160)?
4
Let o(t) = -t**2 - 7*t - 7. Let p be o(-2). Let k(w) = -7*w + w**p - 1 - 10*w**2 - 10 + 0 - 14. What is the units digit of k(11)?
9
Suppose 2*h - x = 6341, h - x - 5073 = -1900. What is the tens digit of h?
6
Suppose -25 = -6*o - 1. Let l be (-3)/(-21) - 40/(-14). Suppose -5*w = -l*x - 60, -30 = -w - o*x + 5. What is the tens digit of w?
1
Let m(q) = -5*q**3 - 2*q**2 - q. Let v be m(-1). Suppose v*u = 11*u - 14. Suppose -u*k - 313 = -5*j + 303, -5*j = -3*k - 619. What is the units digit of j?
2
Let k be (-55)/(-10) + ((-28)/8 - -3). Suppose 0 = -k*u - 2*t + 1922, -2*t = -2*u + 1097 - 317. What is the tens digit of u?
8
Let f(r) = -r**3 + 6*r - 7. Let n be f(2). Let j(c) = -9*c - 37. Let s(b) = 18*b + 73. Let z(l) = n*s(l) - 7*j(l). What is the tens digit of z(12)?
4
Let d = 830 - 679. Let g = 504 + d. What is the units digit of g?
5
Suppose -30*n + 227141 = -111619. What is the thousands digit of n?
1
Let f(j) = -j**3 - 11*j**2 + 5. Let g be f(-11). Suppose -g*n + 176 = -n. Suppose -5*l + n = -3*l. What is the units digit of l?
2
Suppose 2*p + 3*f - 3344 = 0, 2*f + 8360 = 48*p - 43*p. Let o = -1100 + p. What is the units digit of o?
2
Suppose -3*i + 586 + 299 = 0. Suppose 4*c + i = 6*c + 5*u, -140 = -c + 5*u. What is the tens digit of c?
4
Let t be (5 - 9 - -266)/2. Suppose -6*l = -t - 1753. Let f = -121 + l. What is the units digit of f?
3
Let h(y) = -310*y + 5878. What is the thousands digit of h(-14)?
0
Let c(r) be the first derivative of r**2 - 59*r + 18. Let s(w) = -6*w + 176. Let a(b) = 17*c(b) + 6*s(b). What is the units digit of a(10)?
3
Suppose 0*l + 4*s = -4*l + 8, s - 2 = -4*l. Suppose l*w = 2*w + 96. Let c = 60 + w. What is the units digit of c?
2
Let u(t) be the second derivative of 1/6*t**4 + 1/2*t**3 + 0 - 2*t - t**2. What is the units digit of u(6)?
8
Suppose -4*k = -5*k + 5*q + 75, 5*k - 3*q - 331 = 0. Suppose k - 311 = 2*x - l, 5*x + 593 = -3*l. Let g = 175 + x. What is the tens digit of g?
5
Let d be (-78)/(-24) + 1/(-4) + -2. Let o be 60 + -3 + (-1)/d. Suppose 4*j + 16 - o = 0. What is the tens digit of j?
1
Suppose -9*s + 30 = s. Suppose 0*z = s*z - 354. Suppose 278 = 6*h - z. What is the tens digit of h?
6
Let o be 0*2/(-4) + 6 + -4. Let r(d) = 1 - 15*d + o*d**2 + d - 3*d**2 + 2. What is the tens digit of r(-12)?
2
What is the tens digit of (2/14)/((-17)/51) + 61519/7?
8
Let s be ((-313)/4)/((-88)/(-3168)). Let x = -1412 - s. What is the thousands digit of x?
1
Let o = -19 + 17. Let d(k) = 305*k**3 - 3*k**2 + 5*k + 3. Let q(w) = -153*w**3 + w**2 - 2*w - 1. Let z(n) = o*d(n) - 5*q(n). What is the hundreds digit of z(1)?
1
Let j(u) = -u**3 - 13*u**2 + u - 2. Let y be j(-13). Let n be ((-5)/y - 33/(-9)) + -4. Suppose o - 41 - 20 = n. What is the tens digit of o?
6
Suppose 5*n + 5124 = 2*v, -5120 = -15*v + 13*v + 3*n. Suppose -6931 = -18*l - v. What is the hundreds digit of l?
2
Let d be -4*(-21)/6*36/63. Suppose -565 = -d*j + 475. What is the hundreds digit of j?
1
Let k = 9 + 11. Let m be k/15 + -1 + (-50)/6. Let l = 43 + m. What is the tens digit of l?
3
Let j(n) = -324*n - 1285. What is the units digit of j(-25)?
5
Suppose 5*d - 3*o = 1477, -12*o - 291 = -d - 7*o. Suppose s - 3*h = d, -4*h = -2*h + 10. What is the hundreds digit of s?
2
Let n(o) = 61*o**2 + 9*o + 2. Let b(u) = 121*u**2 + 18*u + 6. Let f(l) = -6*b(l) + 13*n(l). What is the units digit of f(3)?
0
Let q = -71 + 85. Suppose 18*o - 20 = q*o. Suppose o*s - w - 636 = -2*w, 3*s = 3*w + 396. What is the units digit of s?
8
Let b = 32292 + -22707. What is the thousands digit of b?
9
Let r = -4858 + 18381. What is the ten thousands digit of r?
1
Let h(r) = 46*r + 7. Let i(p) = p**3 + 4*p**2 + 2*p + 12. Let g be i(-4). Let m be h(g). Let f = m - -61. What is the units digit of f?
2
Suppose -474*o + 2515050 = 12*o. What is the tens digit of o?
7
Let o be 3356 - 8 - (-30)/(-5). Let m = o + -2289. What is the tens digit of m?
5
Let m be (-280)/(-12)*(5 + (-215)/10). Let u = -133 - m. What is the hundreds digit of u?
2
Suppose -209*k - 69372 = -378065. What is the tens digit of k?
7
What is the hundreds digit of (174/9)/(17744/(-4440) - 8/(-2))?
3
Suppose 849*n - 1689*n + 848*n - 100000 = 0. What is the hundreds digit of n?
5
Let s(g) = g**3 - 80*g**2 - 73*g - 684. What is the thousands digit of s(87)?
5
Let r = 18327 - 9882. What is the hundreds digit of r?
4
Let b(n) = 37*n + 37. Suppose 9 = 4*r - 2*z - 15, r - 9 = -z. What is the hundreds digit of b(r)?
2
Let b = 214 + -153. Let m = -36 + 29. Let g = b + m. What is the units digit of g?
4
Suppose 36*o - 449940 = -24*o. What is the hundreds digit of o?
4
What is the tens digit of -5 + 241595/45 - (-10)/45?
6
Let w(g) = 18*g**2 + g + 13. Let r be w(-6). Let l be r - 2/(-3*(-4)/6). Let z = l - 412. What is the units digit of z?
2
What is the hundreds digit of 6/8 + 3993134/632?
3
Suppose 0 = -4*u - 5*o + 7116, 5*o = 3*u + 6*o - 5326. What is the hundreds digit of 40/(-100) + u/10?
1
Let t be ((-12)/1 - | {
"pile_set_name": "DM Mathematics"
} |
k?
65/408
What is prob of picking 1 c, 2 w, and 1 x when four letters picked without replacement from {m: 5, w: 3, c: 2, x: 3}?
18/715
Three letters picked without replacement from dtttzrzzttrrizttzi. Give prob of picking 1 i, 1 t, and 1 z.
35/408
Three letters picked without replacement from {g: 9, r: 3, x: 7}. What is prob of picking 2 g and 1 x?
84/323
Calculate prob of picking 3 u and 1 n when four letters picked without replacement from {u: 6, w: 1, b: 2, n: 4}.
16/143
Three letters picked without replacement from {m: 7, h: 1, f: 5}. What is prob of picking 2 f and 1 h?
5/143
Calculate prob of picking 3 z and 1 f when four letters picked without replacement from {z: 2, l: 1, a: 5, q: 6, f: 2}.
0
What is prob of picking 1 w and 1 d when two letters picked without replacement from {n: 3, d: 2, e: 4, l: 1, v: 2, w: 3}?
2/35
What is prob of picking 1 q and 1 t when two letters picked without replacement from {q: 7, t: 3}?
7/15
What is prob of picking 2 t, 1 s, and 1 r when four letters picked without replacement from {s: 2, t: 1, r: 1}?
0
Two letters picked without replacement from {l: 1, c: 1, r: 5, m: 5}. What is prob of picking 2 r?
5/33
Two letters picked without replacement from soimoooloomloolmimm. Give prob of picking 1 o and 1 i.
16/171
Two letters picked without replacement from ccyccccccccc. Give prob of picking 2 c.
5/6
What is prob of picking 3 g when three letters picked without replacement from iiiwgiggi?
1/84
Calculate prob of picking 4 a when four letters picked without replacement from eeaaeeeeaa.
1/210
Two letters picked without replacement from exexeceexx. Give prob of picking 1 c and 1 x.
4/45
Calculate prob of picking 1 f and 1 x when two letters picked without replacement from {s: 2, f: 2, x: 6, p: 3}.
2/13
Four letters picked without replacement from bfbfbbbfbfbbbbffbfb. What is prob of picking 4 b?
165/1292
Three letters picked without replacement from {d: 1, x: 2, j: 4, h: 3, g: 2, r: 3}. Give prob of picking 2 g and 1 j.
4/455
Four letters picked without replacement from kjkktjtkvtklktkk. Give prob of picking 1 t, 1 l, 1 v, and 1 j.
2/455
Two letters picked without replacement from wrrrwinfirfdfn. What is prob of picking 2 w?
1/91
Two letters picked without replacement from hhfh. What is prob of picking 2 h?
1/2
Two letters picked without replacement from {j: 9, f: 1, g: 6, k: 2}. Give prob of picking 2 f.
0
What is prob of picking 4 w when four letters picked without replacement from {m: 1, w: 4, d: 2}?
1/35
Two letters picked without replacement from zzyzyzxzyzzyxyzyooo. Give prob of picking 2 y.
5/57
Four letters picked without replacement from mmwlmwalmmfmmam. What is prob of picking 1 m, 1 f, and 2 w?
8/1365
Calculate prob of picking 4 b when four letters picked without replacement from {b: 5}.
1
Two letters picked without replacement from guuuuuuuuugu. What is prob of picking 1 g and 1 u?
10/33
Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {n: 1, l: 2, c: 1, f: 1, q: 1, w: 1}.
2/21
What is prob of picking 3 v when three letters picked without replacement from vvvvvvvvzvvvvvv?
4/5
Calculate prob of picking 1 s and 2 b when three letters picked without replacement from {h: 6, q: 1, s: 2, b: 2}.
2/165
Two letters picked without replacement from {o: 1, s: 2, m: 1, l: 1, a: 1, g: 1}. Give prob of picking 1 m and 1 s.
2/21
What is prob of picking 1 l and 2 j when three letters picked without replacement from {z: 1, o: 2, j: 4, l: 1}?
3/28
Two letters picked without replacement from ifelffjjjylfji. What is prob of picking 2 l?
1/91
What is prob of picking 1 u and 1 x when two letters picked without replacement from {l: 2, y: 1, u: 6, x: 3, q: 3}?
6/35
Calculate prob of picking 1 j, 1 z, and 1 k when three letters picked without replacement from znbnbnnbnnjknbk.
2/455
Four letters picked without replacement from {l: 9, f: 11}. What is prob of picking 1 l and 3 f?
99/323
Calculate prob of picking 2 c and 1 p when three letters picked without replacement from {p: 15, c: 4}.
30/323
Four letters picked without replacement from nxnwcznhchczcn. Give prob of picking 2 n and 2 z.
6/1001
Calculate prob of picking 4 w when four letters picked without replacement from pppwwppppppppppppww.
1/3876
Four letters picked without replacement from {i: 1, m: 1, u: 1, n: 1, h: 2, o: 2}. Give prob of picking 2 o, 1 n, and 1 m.
1/70
What is prob of picking 1 g, 1 r, and 1 t when three letters picked without replacement from {g: 1, l: 5, o: 3, h: 2, r: 1, t: 1}?
1/286
Two letters picked without replacement from {a: 9, p: 1, g: 2, v: 7}. Give prob of picking 2 g.
1/171
Calculate prob of picking 1 e and 2 v when three letters picked without replacement from kvkvkkkvvevkvkvvvv.
15/272
Three letters picked without replacement from zelzefzhfftflll. What is prob of picking 1 t and 2 z?
3/455
What is prob of picking 1 v and 1 j when two letters picked without replacement from levji?
1/10
What is prob of picking 3 k when three letters picked without replacement from kkuizzzdkzid?
1/220
Calculate prob of picking 1 x and 1 v when two letters picked without replacement from xtxttvtr.
1/14
Calculate prob of picking 2 c when two letters picked without replacement from xxcxccxxecexexxx.
1/20
Two letters picked without replacement from yzlldyylyllyzyzyyz. What is prob of picking 1 z and 1 y?
32/153
What is prob of picking 2 y when two letters picked without replacement from fyyyfy?
2/5
Two letters picked without replacement from {k: 3, t: 2, b: 5, u: 7, r: 1}. What is prob of picking 2 t?
1/153
Two letters picked without replacement from {m: 2, a: 2, p: 4, c: 1, y: 7, z: 1}. What is prob of picking 1 m and 1 y?
7/68
Calculate prob of picking 3 u when three letters picked without replacement from {h: 2, g: 5, u: 3, r: 5, l: 4}.
1/969
Two letters picked without replacement from nnmvmir. Give prob of picking 1 i and 1 m.
2/21
Calculate prob of picking 2 b when two letters picked without replacement from lbbbsrlrrbrbbblbbb.
5/17
What is prob of picking 4 s when four letters picked without replacement from {s: 4}?
1
Four letters picked without replacement from {t: 2, g: 1, l: 4, q: 2, p: 1, r: 2}. Give prob of picking 1 t, 2 p, and 1 r.
0
What is prob of picking 1 d and 1 e when two letters picked without replacement from dessesssssssss?
2/91
Two letters picked without replacement from {a: 6, r: 7, b: 1}. What is prob of picking 1 a and 1 b?
6/91
Calculate prob of picking 2 l when two letters picked without replacement from {x: 4, w: 3, l: 13}.
39/95
What is prob of picking 2 z when two letters picked without replacement from {i: 5, t: 1, o: 6, z: 2, h: 3}?
1/136
Calculate prob of picking 1 p and 1 l when two letters picked without replacement from {v: 2, k: 5, l: 4, p: 1, e: 2}.
4/91
What is prob of picking 1 f and 2 e when three letters picked without replacement from eeefeeeeeeee?
1/4
Calculate prob of picking 3 y when three letters picked without replacement from uuuuuyyuyutuuuyyu.
1/68
What is prob of picking 3 r and 1 x when four letters picked without replacement from xxrxxrrrxxxrxrxxxx?
4/51
Three letters picked without replacement from gccggg. Give prob of picking 1 g and 2 c.
1/5
What is prob of picking 2 z when two letters picked without replacement from {p: 1, j: 1, b: 2, z: 2}?
1/15
Three letters picked without replacement from {x: 5}. Give prob of picking 3 x.
1
Four letters picked without replacement from yyyyyyyjyjyyjgy. What is prob of picking 1 j and 3 y?
33/91
Two letters picked without replacement from {s: 11, b: 2, p: 7}. What is prob of picking 2 p?
21/190
Two letters picked without replacement from bbbbbpbpbb. Give prob of picking 2 b.
28/45
What is prob of picking 1 v and 2 y when three letters picked without replacement from {y: 4, v: 2}?
3/5
Calculate prob of picking 1 e and 3 b when four letters picked without replacement from {n: 2, a: 4, e: 1, b: 3}.
1/210
Two letters picked without replacement from {u: 3, d: 1, a: 2, x: 1}. Give prob of picking 1 x and 1 u.
1/7
Calculate prob of picking 1 a, 1 v, and 1 d when three letters picked without replacement from {a: 1, c: 5, t: 1, x: 1, d: 2, v: 5}.
2/91
What is prob of picking 1 k and 3 z when four letters picked without replacement from zkkppz | {
"pile_set_name": "DM Mathematics"
} |
Let i be ((-1)/2)/(-1 + 23/24). Calculate the highest common divisor of i and 8.
4
Suppose -10*d + 196 = -6*d. Suppose 0 = -3*y - 12, -2*g + 5 - 1 = -y. Suppose -4*b + 2*b + 14 = g. Calculate the highest common factor of b and d.
7
Suppose 3*v - 43 = -k, -3*k + 4*v = -k - 106. What is the greatest common factor of k and 14?
7
Let k = -267 + 311. What is the greatest common factor of k and 121?
11
Let f be (25 + -21)/(((-4)/(-2))/70). Suppose -4*d = 4*k - 48, -5*d - 10 + 58 = -k. Calculate the highest common divisor of d and f.
10
Let d be (-2)/(0 + (-1)/(-1)). Let c = -304 + 524. Let l be c/8 - (-3)/d. Calculate the highest common divisor of 65 and l.
13
Let q(g) = g**3 - 14*g**2 - 17*g + 20. Let l(y) = y + 6. Let h be l(9). Let z be q(h). Let s = z + 12. What is the highest common factor of 10 and s?
2
Let r(i) = -i**3 + 13*i**2 - 14*i + 43. Let a be r(12). Suppose -5*m + 2*u = 3*u - 660, -5*m - 2*u = -655. What is the highest common divisor of a and m?
19
Let n(y) = 7*y**2 - 90*y - 4. Let z be n(13). What is the greatest common divisor of z and 297?
9
Let d = -9 + 331. What is the greatest common divisor of d and 14?
14
Let a = -8 + 5. Let n be 8 + a + -2 + -4. Let x be (5 + 11)*(-1)/n. Calculate the highest common divisor of 80 and x.
16
Let c = 333 - 303. Calculate the greatest common factor of c and 185.
5
Let g = 718 - 412. What is the greatest common divisor of 9 and g?
9
Let j be 4 + (-3)/6*2. Suppose 4*g - 88 = 2*p + p, j*p = 2*g - 44. Let t = -129 + 184. Calculate the greatest common divisor of t and g.
11
Let t = -1 - -2. Suppose -v = -17 - t. What is the greatest common factor of 2 and v?
2
Let o(n) = n**2 + 8*n + 12. Let q be o(-10). Suppose -7*a = a - q. Suppose -a*p - 11 + 47 = 0. Calculate the greatest common divisor of p and 90.
9
Suppose 158 = d - 5*n, 3*d - 30 = 5*n + 494. Calculate the highest common factor of d and 427.
61
Let h = -84 - -85. Let y be 76*(1 - h/4). Calculate the greatest common factor of y and 228.
57
Suppose 0 = b + g - 150, -2*b - 11*g + 8*g + 296 = 0. What is the highest common divisor of 42 and b?
14
Suppose -168 = -11*s + 107. What is the greatest common factor of 40 and s?
5
Let b(g) = -g**3 - 2*g**2 + 22*g + 7. Let z = -88 + 81. Let t be b(z). Let d be (-1*14)/(-3 - -2). What is the greatest common divisor of d and t?
14
Let d(q) = q**2 + 6*q + 17. Let t = -44 + 35. Let u be d(t). Calculate the greatest common divisor of 55 and u.
11
Suppose -d - 5*d = -3*d. Suppose -2*k + 2 = -3*a, -5*k = -10*k - 4*a - 18. Let f be 13 + k + (d - -4). What is the greatest common factor of 10 and f?
5
Let k = 744 + -640. Calculate the highest common factor of 16 and k.
8
Suppose -8*k = -36492 + 36444. Let u = 0 + 4. What is the greatest common factor of u and k?
2
Suppose 9*s + 105 = 3750. What is the highest common factor of 30 and s?
15
Suppose 396 = 2*w + 2*w. Let q be -8*2/((-24)/45). Let f = -21 + q. Calculate the highest common divisor of w and f.
9
Let m be 5/((-15)/(-9)) - 1. Suppose 4*h + m*v = 80, h - 4*v = -h + 30. Calculate the greatest common divisor of 171 and h.
19
Let k = 0 + 3. Let c(t) = 4*t**2 + 1546*t + 1544*t - 3092*t - 4. Let z be c(k). Calculate the highest common factor of z and 26.
26
Let n(a) = -a**3 + 14*a**2 + 14*a + 18. Let j be n(15). Suppose -3*h = -3*f + h + 32, -4*f + j*h = -52. What is the greatest common divisor of 64 and f?
16
Let g(i) = i + 19. Suppose -2*m - 3*q = -2, -5*m - 4*q + 17 + 2 = 0. Let l be g(m). What is the greatest common factor of l and 26?
26
Suppose 95 - 93 = b. Suppose b*k - 34 = -2*x + 4*k, k = 5*x - 105. Calculate the highest common factor of 22 and x.
22
Suppose 0 = -2*j - 5*l + 23, 3*j + 9*l = 4*l + 37. Calculate the greatest common divisor of 16 and j.
2
Suppose 31*j = 8*j + 1495. Calculate the highest common factor of 13 and j.
13
Suppose -d - 18603 = -4*q, q - 134*d - 4653 = -133*d. What is the greatest common factor of q and 50?
50
Let i(r) = 8 - 3 - 2 - r + 2*r**2. Let w be i(3). Suppose k = -7, 7*k + 16 = -g + 3*k. Calculate the greatest common divisor of w and g.
6
Let n be (-1)/(2/2) - -2. Let z be 11 - (0 + -1 + n). Suppose 41*h = 55*h - 1386. What is the highest common divisor of h and z?
11
Suppose 5*c + 1105 = b, -2*c = -2*b - 294 + 2504. What is the greatest common divisor of b and 85?
85
Let l = 104 - 74. Let a be (l/(-4))/((-10)/20). Calculate the greatest common divisor of 5 and a.
5
Let m(j) = -j**3 - 2*j**2 - j + 3. Let k be m(0). Let q(a) = a**3 - 2*a**2. Let b be q(k). Calculate the greatest common factor of 99 and b.
9
Let l(y) = -y**3 - 14*y**2 + y + 18. Let q be l(-14). Suppose r = -4*z + 17, 0 = q*r + 4*z - z - 68. Calculate the highest common factor of 17 and r.
17
Suppose 4*z = 2*a - 314, 4*a - z - z = 652. Suppose -15*t - a = -20*t. What is the highest common divisor of 363 and t?
33
Let g be -1 - -3 - 6*5/15. Suppose 10*u - 4*u - 168 = g. What is the greatest common factor of u and 14?
14
Let p = 983 + -962. What is the greatest common divisor of 476 and p?
7
Suppose j + 404 = 5*j. Let i(m) = 6*m + 7. Let h be i(-7). Let y = h + j. Calculate the greatest common factor of 6 and y.
6
Let x = 20 + -20. Let m = 6 + x. What is the greatest common factor of 2 and m?
2
Suppose -3*d - 4*l + 1745 = 0, -d + 5*l - 2*l = -560. Suppose 0 = 4*v + v - d. Suppose 0*w + w = v. What is the greatest common factor of 46 and w?
23
Let i = -6 + 2. Let n = i + 6. Suppose 3*s - 51 = -f, -5*s + 5*f - n + 107 = 0. Calculate the greatest common divisor of s and 54.
18
Let j = -97 + 90. Let z be (58/6)/(j/(-63)) - -4. Calculate the highest common factor of z and 7.
7
Suppose u + 2*t - 58 = 0, -2*u + 123 + 18 = -t. Let c = 2 + u. Let y = c + 128. Calculate the greatest common divisor of y and 22.
22
Let s = 61 + -48. Suppose 3*p + d - s - 9 = 0, 3*p - 3*d - 42 = 0. What is the greatest common divisor of p and 81?
9
Let p be -4 + 6/9 + 7714/21. Calculate the highest common divisor of p and 208.
52
Suppose 128*u + 162 = 134*u. What is the highest common factor of 15 and u?
3
Let s be (-4347)/(-72) - 6 - 3/8 - 4. Let x be (-996)/(-10) - 4/(-10). Calculate the highest common divisor of x and s.
50
Let b = -429 + 705. Suppose 0 = -18*q + 12*q + b. What is the greatest common divisor of 69 and q?
23
Suppose -4*l - 341 = -5*m, 21*l = -3*m + 22*l + 199. Suppose -41 = -4*i + i + 2*r, i = 5*r + 18. Calculate the highest common factor of m and i.
13
Let h be (49 + -13 + -12)*3/4. Calculate the highest common factor of h and 18.
18
Let i(j) be the first derivative of -j**2/2 - 2*j - 6. Let w be i(-6). Suppose -w*o + 7 = -1. What is the highest common factor of o and 14?
2
Let r be (-555)/(-6) - 160/64. What is the highest common factor of 405 and r?
45
Let x(y) = -1 - 8 + 5 - 25*y + 5*y. Let p be x(-3). Suppose -3*w = -p - 10. What is the greatest common factor of 2 and w?
2
Let l = 3 + -3. Suppose -2*w + 4 = u, l = -w + 5*w + u - 12. Let i be 33/6 - (-6)/w. What is the greatest common factor of 7 and i?
7
Let d(a) = a**2 + 4*a + 4. Let b be d(-4). Suppose 4*u + 37 + 25 = o, o + 5*u = 53. Let z = o - 54. What is the greatest common divisor of b and z?
4
Let g(j) = 5*j**2 + 8*j + 40. Let s be g(-3). What is the highest common divisor of s and 183?
61
Suppose 5*i - 1433 = -4*w, -107*i + 108*i = -2*w + 289. Calculate the highest common divisor of 45 and i.
15
Let x = 44 - 26. Suppose 0 = -2*s + 71 - 19. Suppose 19 = v - s. What is the highest common factor of x and v?
9
Suppose 8*v - 2450 - 2886 = 0. What is the greatest common factor of v and 23?
23
Let b(u) = -2*u**2 - 15 - 4*u**2 - 20*u + 5*u**2. Let h be (1*(-170)/(-40))/((-1)/4). Let l be b(h). Calculate the highest common factor of l and 12.
12
Let s = 25 + -15. Let f = -22 - -58. Let x = f + -21. What is the greatest common factor of s and x?
5
Let d(t) = -2*t**3 - 3*t**2 + 3*t - 5. Let v be (-4 + -1 + 1)*(5 + -4). Let w be d(v). Calculate the highest common factor of w and 9.
9
Suppose -8*p + 19*p = 286. Calculate the greatest common divisor of 52 and p.
26
Let p(s) = -6*s + 324. Let q be p(44). What is the greatest common divisor of 420 and q?
60
Suppose -2*d + 5*d + 57 = 0. Let m = d + 25. What is the highest common factor of m and 9?
3
Suppose 0 = 4*r + r + 2*r. Suppose o + 3*o + 115 = 5*k, k - 2*o - 17 = r. | {
"pile_set_name": "DM Mathematics"
} |
f + 938960.
-(f - 194)*(f + 4840)
Find j, given that 78*j**5 + 4130*j**4 + 26854*j**3 - 592394*j**2 + 590036*j - 28704 = 0.
-39, -23, 2/39, 1, 8
Suppose 3*k**4 - 33984*k**3 + 1286943*k**2 + 1320930*k = 0. What is k?
-1, 0, 39, 11290
Determine s, given that 4*s**4/3 + 488*s**3/3 + 3500*s**2 - 191264*s/3 - 2514640/3 = 0.
-86, -43, -10, 17
Solve -2*t**4/7 - 6730*t**3/7 + 10286484*t**2/7 - 474664616*t + 473196080 = 0 for t.
-4570, 1, 602
Determine v, given that v**3/4 + 587*v**2/2 + 338349*v/4 + 84294 = 0.
-669, -504, -1
Find y, given that -4*y**5/3 + 5583*y**4 - 3689315*y**3/3 + 307094*y**2 = 0.
0, 1/4, 233, 3954
Determine r, given that 27014*r**2/3 + 161986*r/3 - 196 = 0.
-6, 49/13507
Let -7*g**5/8 + 22886967*g**4/8 + 75200083*g**3/8 + 88278377*g**2/8 + 5313051*g + 1634785/2 = 0. Calculate g.
-1, -2/7, 3269570
Find p such that -3451311*p**3 - 25059381*p**2 - 6301392*p + 252 = 0.
-7, -6/23, 2/50019
Factor 3*q**3 + 6357*q**2 - 258648*q + 932688.
3*(q - 36)*(q - 4)*(q + 2159)
Solve 2*z**4 + 153516*z**3 + 11505024*z**2 + 197372916*z - 699809058 = 0.
-76683, -39, 3
What is y in 2*y**3/13 + 4194760*y**2/13 + 16779016*y/13 + 16779008/13 = 0?
-2097376, -2
Determine m so that -2*m**4/13 + 65410*m**3/13 - 534317688*m**2/13 - 8026608640*m/13 - 23553164800/13 = 0.
-11, -4, 16360
Factor 2*j**2 + 486556*j + 973104.
2*(j + 2)*(j + 243276)
Determine l so that 49*l**3/6 - 1343132*l**2/3 + 22242478*l - 276379512 = 0.
174/7, 54772
Find f, given that -3*f**3 + 24201*f**2 - 53523288*f + 18537150996 = 0.
423, 3822
Let c**3/4 - 8541*c**2/2 - 17083*c/4 = 0. Calculate c.
-1, 0, 17083
Suppose -2*b**2/5 - 3059526*b/5 - 6119044/5 = 0. What is b?
-1529761, -2
Determine x so that -4*x**2 + 1171328*x + 14056512 = 0.
-12, 292844
Determine u so that 2*u**2 - 3692*u - 292144 = 0.
-76, 1922
Factor -w**3 + 212*w**2 - 10947*w.
-w*(w - 123)*(w - 89)
Let z**4/4 - 47*z**3/4 - 599*z**2/2 + 1760*z = 0. What is z?
-22, 0, 5, 64
Factor 2*p**2 - 1440872*p - 2881752.
2*(p - 720438)*(p + 2)
Let -2*q**3/13 - 10472*q**2/13 - 385370*q/13 - 3348156/13 = 0. Calculate q.
-5199, -23, -14
Determine q so that q**4/8 - 227*q**3/8 + 7917*q**2/8 - 27005*q/8 - 17575/4 = 0.
-1, 5, 38, 185
Solve 4*i**4/3 + 204620*i**3/3 + 5317412*i**2/3 - 204620*i/3 - 1772472 = 0 for i.
-51129, -26, -1, 1
Find n such that -93*n**5/4 - 4629*n**4/4 - 41043*n**3/2 - 147066*n**2 - 287424*n + 456192 = 0.
-16, -396/31, -6, 1
Let -j**4/3 + 232*j**3/3 - 4063*j**2/3 + 1124*j + 2556 = 0. What is j?
-1, 2, 18, 213
Factor -2*x**3 + 3841572*x**2.
-2*x**2*(x - 1920786)
Solve -5*u**4 + 9915*u**3 + 9084255*u**2 + 9054485*u - 18148650 = 0 for u.
-681, -2, 1, 2665
Factor -y**3 + 2105303*y**2 - 1108072022491*y - 3324235015227.
-(y - 1052653)**2*(y + 3)
Find a such that 3*a**2 - 184132668*a + 2825403285399852 = 0.
30688778
Factor 2*k**2 + 20582094*k - 41164196.
2*(k - 2)*(k + 10291049)
Find s, given that -2632*s**4 - 2794*s**3 + 24966*s**2 - 23012*s + 3472 = 0.
-4, 62/329, 1, 7/4
Find v, given that -v**2/12 + 102256459*v/6 - 10456383407218681/12 = 0.
102256459
Factor -2*q**3/5 + 4483982*q**2/5 - 896796*q.
-2*q*(q - 2241990)*(q - 1)/5
Factor -t**3/4 + 2305913*t**2/4 - 1329298314223*t/4 - 11963871607689/4.
-(t - 1152961)**2*(t + 9)/4
Factor -2*x**2/13 + 23272*x/13 + 58420714/13.
-2*(x - 13759)*(x + 2123)/13
What is l in 4*l**5 - 121564*l**4 + 921726652*l**3 + 28663181468*l**2 + 207342722944*l - 236927509504 = 0?
-16, 1, 15211
Factor -2*t**2 - 365672316*t - 16714530336100482.
-2*(t + 91418079)**2
What is i in i**2 + 1910302*i - 5730915 = 0?
-1910305, 3
Determine j, given that 1507072*j**5/5 + 2764792256*j**4/5 - 1256708484*j**3/5 + 31114152*j**2/5 - 39636*j = 0.
-1835, 0, 3/232, 3/7
Determine u so that -5*u**4 + 520*u**3 - 1865*u**2 - 279810*u - 2086920 = 0.
-12, -11, 34, 93
Factor -2*u**2 - 13429592*u + 13429594.
-2*(u - 1)*(u + 6714797)
Determine s, given that -3*s**4 - 55086*s**3 + 882144*s**2 = 0.
-18378, 0, 16
Suppose -4*r**3 + 141280*r**2 - 181262400*r + 59241600000 = 0. What is r?
660, 34000
Suppose -978043920*j**4 - 848187424*j**3 + 909507668*j**2/7 + 512268*j/7 + 72/7 = 0. Calculate j.
-1, -3/10682, 2/15
What is i in 58*i**2/7 - 6604*i/7 + 19920 = 0?
28, 2490/29
Suppose 24*s**3 + 344284*s**2 - 3387780*s = 0. What is s?
-14355, 0, 59/6
Let 4*q**2 + 709400*q + 215994900 = 0. Calculate q.
-177045, -305
Solve 4*j**4 - 295263756*j**3 = 0 for j.
0, 73815939
Suppose -2*d**3/9 - 4096*d**2/9 - 48928*d/9 - 130304/9 = 0. What is d?
-2036, -8, -4
Find s such that -4*s**3 - 70500*s**2 - 1549352*s - 5069664 = 0.
-17603, -18, -4
Suppose -2*d**3 - 96689770*d**2 - 1168614001176496*d - 1168613904486728 = 0. What is d?
-24172442, -1
Solve -4*r**2 + 2152968*r + 6458940 = 0 for r.
-3, 538245
Factor i**2 - 1721*i - 1323072.
(i - 2297)*(i + 576)
Factor -2*j**2/15 + 3562*j/15 - 229676/15.
-2*(j - 1714)*(j - 67)/15
Factor 4*q**4 + 1458920*q**3 + 133026513972*q**2 - 266057404720*q + 133029431824.
4*(q - 1)**2*(q + 182366)**2
Factor -2*t**4 - 19040*t**3 - 50215004*t**2 - 23323067040*t - 3001009904802.
-2*(t + 273)**2*(t + 4487)**2
Determine u so that 632*u**2 + 1118620*u + 1082628 = 0.
-1769, -153/158
Factor -c**4/7 + 1466*c**3/7 - 568573*c**2/7 + 22931172*c/7 - 244672164/7.
-(c - 711)**2*(c - 22)**2/7
Factor -3*y**2 + 3724551*y - 63316500.
-3*(y - 1241500)*(y - 17)
Suppose 3364*k**4/5 + 5140772*k**3 + 3924462832*k**2/5 - 541671984*k/5 + 3736512 = 0. Calculate k.
-7485, -156, 2/29
Let -5*r**4 - 37135*r**3 + 19696130*r**2 + 39540760*r = 0. Calculate r.
-7924, -2, 0, 499
Suppose -50*y**5 + 87490*y**4 - 8561458*y**3 + 30781718*y**2 + 46260060*y + 14814000 = 0. Calculate y.
-3/5, 5, 100, 1646
Suppose 4*o**5 - 3980*o**4 + 3900*o**3 + 75740*o**2 - 194944*o + 119280 = 0. What is o?
-5, 1, 2, 3, 994
Determine v, given that v**5/2 - 2988*v**4 + 2783616*v**3 - 936218624*v**2 + 107290951680*v = 0.
0, 352, 4920
Factor -5*j**3 + 1056185*j**2 - 24289610*j.
-5*j*(j - 211214)*(j - 23)
Factor -4*d**3 + 8528516*d**2 - 4545944222688*d - 31822027457472.
-4*(d - 1066068)**2*(d + 7)
Factor t**4 - 1472*t**3 + 30591*t**2 - 174220*t + 145100.
(t - 1451)*(t - 10)**2*(t - 1)
What is p in -p**5/4 - 1079*p**4/4 + 4337*p**3/4 + 5415*p**2/4 = 0?
-1083, -1, 0, 5
Find c, given that 4*c**2 + 77984*c - 2812608 = 0.
-19532, 36
Determine w so that 3*w**4 - 124728*w**3 - 10980297*w**2/4 - 65515527*w/4 - 27517077/2 = 0.
-21/2, -1, 41598
Solve -4*c**5/3 + 2722*c**4/9 - 98078*c**3/9 + 320866*c**2/3 + 18130*c = 0 for c.
-1/6, 0, 21, 185
Factor 5*s**3 + 5421730*s**2 - 65061480*s.
5*s*(s - 12)*(s + 1084358)
Find h, given that 2*h**5 + 7227*h**4 + 310713*h**3 + 438982*h**2 - 457044*h - 299880 = 0.
-3570, -42, -2, -1/2, 1
What is v in 3*v**2/2 + 53029122*v + 106058238 = 0?
-35352746, -2
Determine w, given that -w**5 + 206*w**4 + 7960*w**3 - 17342*w**2 - 25095*w = 0.
-35, -1, 0, 3, 239
Find z such that 4*z**5 + 3774900*z**4 + 890599888392*z**3 - 8015648140792*z**2 + 13359481516788*z - 6234437039292 = 0.
-471867, 1, 7
Factor -3*x**2/2 + 8481*x/2 + 9744492.
-3*(x - 4328)*(x + 1501)/2
Let q**5 - 159*q**4 + 4920*q**3 + 42896*q**2 - 489216*q = 0. Calculate q.
-12, 0, 7, 52, 112
Find r such that -2*r**2/15 - 173944*r/15 = 0.
-86972, 0
Solve 5*l**2/2 - 10963420*l + 12019657809640 = 0.
2192684
Factor -2*q**3 + 2516*q**2 - 674518*q - 1359116.
-2*(q - 869)*(q - 391)*(q + 2)
What is o in 4*o**3 + 70096*o**2 + 307020468*o - 614321352 = 0?
-8763, 2
Factor -4*j**2 + 17592*j - 5008608.
-4*(j - 4092)*(j - 306)
Determine o so that -2*o**5 - 298*o**4 - 1684*o**3 + 4576*o**2 = 0.
-143, -8, 0, 2
Determine j so that -j**2 + 17744*j - 8001103 = 0.
463, 17281
Determine n so that -27*n**3/5 - 172821*n**2/5 - 15800982*n/5 + 3519864/5 = 0.
-6308, -93, 2/9
Factor -n**2/3 - 79562*n/3 - 53040.
-(n + 2)*(n + 79560)/3
Determine p so that 2*p**3/7 + 54904*p**2/7 + 358269792*p/7 - 257486150016/7 = 0.
-14052, 652
Solve -2*z**5/9 + 767422*z**4/9 - 73621286350*z**3/9 + 809722110026*z**2/9 + 613437049600*z/3 + 106329665000 = 0.
-1, 13, 191850
Solve 4*s**5 + 1980*s**4 - 54068*s**3 + 68052*s**2 + 3981808*s + 7227312 = 0.
-521, -6, -2, 17
Solve 3*y**2/4 - 226503*y/4 - 76521684 = 0 for y.
-1328, 76829
Suppose -2*w**2/13 - 82088376*w/13 - 842312684289672/13 = 0. Calculate w.
-20522094
Factor -3*x**2/8 - 64263*x - 1542096.
-3*(x + 24)*(x + 171344 | {
"pile_set_name": "DM Mathematics"
} |
litres?
476853.7
How many kilograms are there in 580.0821 grams?
0.5800821
What is 7/4 of a millisecond in microseconds?
1750
What is 68.20145 micrograms in grams?
0.00006820145
How many centuries are there in 51/5 of a millennium?
102
What is 8.802433 milligrams in kilograms?
0.000008802433
How many micrograms are there in thirteen quarters of a milligram?
3250
What is 48/5 of a century in months?
11520
What is 3/10 of a litre in millilitres?
300
How many years are there in 2098.193 centuries?
209819.3
How many milligrams are there in 5.697633t?
5697633000
What is 68.26923kg in grams?
68269.23
How many hours are there in four sevenths of a week?
96
Convert 17.87201 millilitres to litres.
0.01787201
What is 18166.61ml in litres?
18.16661
What is 265272.9 nanograms in milligrams?
0.2652729
What is seventeen sixths of a hour in minutes?
170
What is 15/4 of a minute in seconds?
225
How many nanograms are there in three tenths of a microgram?
300
How many days are there in 12/7 of a week?
12
How many litres are there in 9.47399ml?
0.00947399
How many litres are there in 69.36066ml?
0.06936066
How many litres are there in 94124.02ml?
94.12402
How many millilitres are there in 0.6771527 litres?
677.1527
How many micrograms are there in 14320.29 grams?
14320290000
How many centuries are there in 619.634 decades?
61.9634
Convert 906619.2ug to tonnes.
0.0000009066192
What is 939360.6 hours in seconds?
3381698160
What is one fifth of a day in minutes?
288
Convert 508.8459 decades to centuries.
50.88459
Convert 261.6367 hours to minutes.
15698.202
What is three fifths of a meter in centimeters?
60
Convert 349705.4t to kilograms.
349705400
How many millilitres are there in 5.8537 litres?
5853.7
Convert 900.6001 millennia to centuries.
9006.001
What is 280701.2ng in milligrams?
0.2807012
How many decades are there in 0.0998214 centuries?
0.998214
Convert 20.13745 microseconds to milliseconds.
0.02013745
Convert 9.657826 nanometers to millimeters.
0.000009657826
How many months are there in twenty-six fifths of a millennium?
62400
Convert 0.9557337 hours to milliseconds.
3440641.32
How many centuries are there in 822168.4 years?
8221.684
What is 7.491234mg in grams?
0.007491234
How many seconds are there in 474.4201 nanoseconds?
0.0000004744201
What is 67/4 of a meter in millimeters?
16750
What is 6142.052km in millimeters?
6142052000
How many micrometers are there in 11/4 of a millimeter?
2750
What is six fifths of a microsecond in nanoseconds?
1200
What is 6/25 of a century in years?
24
How many litres are there in 35270.22ml?
35.27022
What is three fifths of a millennium in years?
600
How many microseconds are there in 3/40 of a millisecond?
75
How many millilitres are there in 982.979 litres?
982979
How many millilitres are there in seven halves of a litre?
3500
What is 4020.911l in millilitres?
4020911
How many milligrams are there in fourty-two fifths of a gram?
8400
What is 11.15619 millennia in decades?
1115.619
Convert 0.2788802 decades to months.
33.465624
What is seventeen quarters of a hour in seconds?
15300
What is 6/5 of a meter in millimeters?
1200
How many grams are there in 718664.6mg?
718.6646
What is 758798.9 hours in microseconds?
2731676040000000
How many litres are there in 0.2853269 millilitres?
0.0002853269
What is twenty-seven halves of a year in months?
162
How many kilograms are there in 131500.2ng?
0.0000001315002
Convert 8052.137 litres to millilitres.
8052137
How many years are there in 1.74642 months?
0.145535
How many nanometers are there in 855626.7 centimeters?
8556267000000
What is 64/7 of a week in days?
64
How many months are there in 25/4 of a millennium?
75000
How many millilitres are there in eleven quarters of a litre?
2750
How many nanograms are there in 2/125 of a milligram?
16000
What is 390.7713ms in seconds?
0.3907713
Convert 212846.4s to hours.
59.124
What is seven thirds of a hour in seconds?
8400
How many millilitres are there in 493927.2l?
493927200
How many grams are there in 607061.6ng?
0.0006070616
How many years are there in seven quarters of a century?
175
How many millilitres are there in 3/25 of a litre?
120
How many micrometers are there in 17/2 of a millimeter?
8500
Convert 342.061nm to centimeters.
0.0000342061
How many seconds are there in 6.488137 hours?
23357.2932
What is 4/75 of a hour in seconds?
192
How many nanograms are there in 3/50 of a milligram?
60000
What is 3/10 of a centimeter in micrometers?
3000
What is 7.78363 micrometers in millimeters?
0.00778363
How many hours are there in 2/7 of a week?
48
What is seven eighths of a millennium in years?
875
Convert 8886404.7us to hours.
0.00246844575
Convert 73339.63 years to months.
880075.56
How many millilitres are there in 21.35809l?
21358.09
How many meters are there in 0.6346702cm?
0.006346702
How many meters are there in 397.4785 centimeters?
3.974785
How many milliseconds are there in 44.96989 days?
3885398496
How many months are there in three eighths of a century?
450
What is 1/5 of a litre in millilitres?
200
What is thirty-three fifths of a century in years?
660
Convert 116543.8 litres to millilitres.
116543800
What is 1987.586g in nanograms?
1987586000000
How many minutes are there in 2099.2431us?
0.000034987385
How many centimeters are there in 21/2 of a meter?
1050
What is 2576.54 nanometers in meters?
0.00000257654
What is six fifths of a kilometer in meters?
1200
How many years are there in 11/2 of a millennium?
5500
What is five eighths of a milligram in micrograms?
625
How many litres are there in 161.9083 millilitres?
0.1619083
How many decades are there in 97690.49 millennia?
9769049
What is 11/2 of a week in minutes?
55440
How many grams are there in one tenth of a tonne?
100000
How many milliseconds are there in 3/40 of a second?
75
Convert 10294.242 hours to weeks.
61.27525
How many kilograms are there in 3.147995 tonnes?
3147.995
How many micrometers are there in 0.3932246 nanometers?
0.0003932246
How many milliseconds are there in 45/2 of a second?
22500
How many hours are there in 497.46951us?
0.000000138185975
What is 7/2 of a century in months?
4200
Convert 0.1484611 days to seconds.
12827.03904
Convert 1841.7009 months to decades.
15.3475075
How many nanograms are there in 3/40 of a milligram?
75000
What is 33/5 of a millennium in centuries?
66
How many minutes are there in four thirds of a day?
1920
How many meters are there in 70.6316mm?
0.0706316
How many millilitres are there in three eighths of a litre?
375
What is eleven eighths of a kilometer in meters?
1375
How many weeks are there in 113.02599 hours?
0.67277375
What is 929718.7 tonnes in micrograms?
929718700000000000
Convert 646630.4mg to nanograms.
646630400000
What is 0.5588725mm in meters?
0.0005588725
How many millilitres are there in 81/4 of a litre?
20250
How many nanoseconds are there in 9.015089 hours?
32454320400000
How many millilitres are there in 59/5 of a litre?
11800
How many millilitres are there in 2154.922 litres?
2154922
How many millilitres are there in twenty-seven quarters of a litre?
6750
Convert 8315.05 micrometers to nanometers.
8315050
How many minutes are there in fourteeen ninths of a day?
2240
What is five quarters of a micrometer in nanometers?
1250
What is 13/5 of a litre in millilitres?
2600
Convert 6136.713 millilitres to litres.
6.136713
Convert 0.944772 millennia to months.
11337.264
What is 1/16 of a centimeter in micrometers?
625
How many litres are there in 899.6058 millilitres?
0.8996058
What is 17/4 of a year in months?
51
How many litres are there in 127603.8ml?
127.6038
How many millennia are there in 7196.721 decades?
71.96721
Convert 36356.22ms to hours.
0.01009895
What is 9/16 of a day in seconds?
48600
What is 7.318831 micrometers in nanometers?
7318.831
How many millilitres are there in 0.1766566l?
176.6566
What is 3/32 of a kilometer in millimeters?
93750
What is 21/4 of a litre in millilitres?
5250
What is 11/2 of a millimeter in micrometers?
5500
What is 3/40 of a litre in millilitres?
75
How many microseconds are there in 3/50 of a millisecond?
60
How many nanograms are there in one quarter of a microgram?
250
What is 7.95754 millimeters in kilometers?
0.00000795754
How many months are there in 0.07 | {
"pile_set_name": "DM Mathematics"
} |
2 for f.
-3
Solve 248*j - 242*j + 12 = 0 for j.
-2
Solve -64*t + 18 = -70*t for t.
-3
Solve 0 = -21*i + 28*i - 28 for i.
4
Solve -143*n + 78 = -156*n for n.
-6
Solve -13*a = 191 - 256 for a.
5
Solve 0 = 4*p - 32 + 24 for p.
2
Solve -9*u + u + 16 = 0 for u.
2
Solve 262 = a + 256 for a.
6
Solve 11*p + 6 = 8*p for p.
-2
Solve 5*t + 3 + 2 = 0 for t.
-1
Solve 4*x + 72*x = -532 for x.
-7
Solve 12 - 8 = 2*s for s.
2
Solve 63*z + 40*z - 515 = 0 for z.
5
Solve -23*j - 1 = 114 for j.
-5
Solve -6 = -37*h + 40*h for h.
-2
Solve -43 = 30*x - 223 for x.
6
Solve 20 = 5*i - 0 for i.
4
Solve -15*z - 120 = -30*z for z.
8
Solve 4*r = -18 + 30 for r.
3
Solve 21*p - 40 = 29*p for p.
-5
Solve 101 - 100 = -p for p.
-1
Solve 0 = -53*q - 9*q + 124 for q.
2
Solve 21*m = -29 + 134 for m.
5
Solve -6*u + 8 = -2*u for u.
2
Solve 319*d - 327*d + 32 = 0 for d.
4
Solve 0 = -29*u + 12*u + 17 for u.
1
Solve 3*r - 22 = -31 for r.
-3
Solve 6 + 45 = 17*f for f.
3
Solve -6*w - 10*w - 80 = 0 for w.
-5
Solve -29 - 36 = 13*o for o.
-5
Solve 17*q = -12 - 56 for q.
-4
Solve -33*b = -31*b - 4 for b.
2
Solve 3 = x + 6 for x.
-3
Solve 3*f - 23 = -8 for f.
5
Solve 1099 = 27*n + 1180 for n.
-3
Solve 191*d + 44 = 180*d for d.
-4
Solve -6 + 0 = -6*y for y.
1
Solve -19*g + 12 = 31 for g.
-1
Solve 102 = 104*u - 87*u for u.
6
Solve -643*u - 8 = -639*u for u.
-2
Solve -6 = 22*i - 28*i for i.
1
Solve 362 = 5*l + 327 for l.
7
Solve 83*j = 88*j + 25 for j.
-5
Solve -4*s = -60 + 72 for s.
-3
Solve 55 = 51*g - 62*g for g.
-5
Solve 41*h - 90 = 56*h for h.
-6
Solve -45 = -7*v - 8*v for v.
3
Solve 345 = 13*d + 56*d for d.
5
Solve 474 = 3*c + 462 for c.
4
Solve -7*j - 6 = -4*j for j.
-2
Solve 39*h = -64 - 53 for h.
-3
Solve 18 = 46*l - 120 for l.
3
Solve -9 = 12*b + 75 for b.
-7
Solve -105*c - 3*c = 0 for c.
0
Solve 0 = -3*w - 6*w + 9 for w.
1
Solve 4*v + 22 = 6 for v.
-4
Solve 34 = -3*q + 40 for q.
2
Solve 76 = -22*v + 274 for v.
9
Solve -720*z - 84 = -732*z for z.
7
Solve -100 = 3*c - 23*c for c.
5
Solve 0 = 9*l + 2 - 38 for l.
4
Solve 253 + 161 = -46*l for l.
-9
Solve 124 - 108 = -2*y for y.
-8
Solve -117 = 34*z + 87 for z.
-6
Solve 4 = -3*c + 7 for c.
1
Solve 28*h + 168 = 4*h for h.
-7
Solve -20 = 8*i - 3*i for i.
-4
Solve -4*d - 4*d = 8 for d.
-1
Solve -13*v + 24 = -7*v for v.
4
Solve 0 = 1857*r - 1846*r - 66 for r.
6
Solve -15 = -13*t + 8*t for t.
3
Solve 6*q = -33 + 27 for q.
-1
Solve -16*n - 27 = 5 for n.
-2
Solve -13*f + 4*f = 9 for f.
-1
Solve 514 = u + 515 for u.
-1
Solve 3 = -b + 6 for b.
3
Solve -4411*a + 70 = -4425*a for a.
-5
Solve 17*a = -29*a + 46 for a.
1
Solve 3*m + 10 = 7 for m.
-1
Solve 22*f + 6 = 20*f for f.
-3
Solve -4*s - 2267 = -2235 for s.
-8
Solve 5 = 2*c + 9 for c.
-2
Solve -3*h = -4*h - 0*h for h.
0
Solve 0 = -9*a + 56 - 20 for a.
4
Solve 78*z = 38*z - 320 for z.
-8
Solve -28*c = -6*c + 88 for c.
-4
Solve -16 = -28*y + 32*y for y.
-4
Solve -8*v - 16 = 16 for v.
-4
Solve -21*c - 39*c = -240 for c.
4
Solve -10 = 7*k - 24 for k.
2
Solve 11*t = 21*t + 10 for t.
-1
Solve -57*n + 198 = -30 for n.
4
Solve l + 0*l = 2*l for l.
0
Solve 6*k + 18*k = -48 for k.
-2
Solve -224 = 10*f + 18*f for f.
-8
Solve -4*r - 12 = 4 for r.
-4
Solve 8 = 3*t - 7*t for t.
-2
Solve -89*a = -664 + 41 for a.
7
Solve -7*i + 1604 = 1632 for i.
-4
Solve -7 = -12*a + 113 for a.
10
Solve -34*a = -36*a - 6 for a.
-3
Solve 0 = 9*r - 45 + 9 for r.
4
Solve 84 = 12*m + 2*m for m.
6
Solve 32*x + 36*x - 68 = 0 for x.
1
Solve -8 = -25*j - 108 for j.
-4
Solve -3*l + 144 = 150 for l.
-2
Solve 14*b + 15*b - 29 = 0 for b.
1
Solve -4*t - 363 = -399 for t.
9
Solve 116 = -7*t + 130 for t.
2
Solve -8 = 3*m + 4 for m.
-4
Solve 6*v - 28 = -8*v for v.
2
Solve 4*r + 126 = 134 for r.
2
Solve 40*x - 2*x = 190 for x.
5
Solve 74*h = 81*h + 49 for h.
-7
Solve -26*g + 203 = 125 for g.
3
Solve 5*y = 19*y - 70 for y.
5
Solve -616 + 580 = -9*i for i.
4
Solve 0 = -390*j + 385*j for j.
0
Solve u = 16 - 10 for u.
6
Solve -14*m + 71 = 85 for m.
-1
Solve -24 = -5*w - 9 for w.
3
Solve 9*j = 19 - 37 for j.
-2
Solve 24 = 23*a + 1 for a.
1
Solve -47 = 3*n - 50 for n.
1
Solve -7*i = 2*i + 18 for i.
-2
Solve 1990*y = 2001*y - 44 for y.
4
Solve -20*g = 126 - 6 for g.
-6
Solve -13*y = 6*y - 19 for y.
1
Solve 9*t - 6*t - 6 = 0 for t.
2
Solve 44*v - 30 = 54*v for v.
-3
Solve 25*w - 4*w = 105 for w.
5
Solve 12*l + 5733 = 5613 for l.
-10
Solve -37*h - 66*h - 721 = 0 for h.
-7
Solve -114 = -18*v - 6 for v.
6
Solve -33 + 34 = -k for k.
-1
Solve -3 = -5*p + 2*p for p.
1
Solve -27 = -21*s + 30*s for s.
-3
Solve 0 = 3*p - 558 + 543 for p.
5
Solve 3*c - 13*c = -30 for c.
3
Solve 55 = 14*j - 15 for j.
5
Solve -17 + 14 = -3*b for b.
1
Solve 10*j + 35 = 3*j for j.
-5
Solve -32 = 5*x - 37 for x.
1
Solve 0 = 37*u - 38*u - 1 for u.
-1
Solve 5*x + 9 = 8*x for x.
3
Solve 0 = 2*f + 128*f + 650 for f.
-5
Solve -9 + 5 = -v for v.
4
Solve 10*y = -y + 22 for y.
2
Solve 0 = 22*q - 10 - 12 for q.
1
Solve 0 = -4*q - 9*q + 65 for q.
5
Solve 61 - 35 = -13*x for x.
-2
Solve 7*r + 6 = 10*r for r.
2
Solve -2*z - 207 = -217 for z.
5
Solve 21 = 20*q - 59 for q.
4
Solve x = 7*x - 18 for x.
3
Solve 0 = 18*w - 27*w + 45 for w.
5
Solve 1046*w - 1035*w = 77 for w.
7
Solve 0 = -13*d + 8*d - 20 for d.
-4
Solve -4*w + w + 3 = 0 for w.
1
Solve 10*f = 7*f + 3 for f.
1
Solve -5 = 12*z - 11*z for z.
-5
Solve -164 = 42*o + 46 for o.
-5
Solve 19*i = 26*i - 7 for i.
1
Solve -508*v + 15 = -513*v for v.
-3
Solve 0 = -113*z + 117*z + 8 for z.
-2
Solve 42*y - 66 - 102 = 0 for y.
4
Solve 230 = -38*i - 74 for i.
-8
Solve -12*n = -0*n - 48 for n.
4
Solve 12*n + 1489 = 1417 for n.
-6
Solve 2*f - 27 = -31 for f.
-2
Solve 181 - 217 = 9*v for v.
-4
Solve 0 = -3*t - 2*t for t.
0
Solve -30 = 18*i - 24*i for i.
5
Solve 882 = -10*t + 852 for t.
-3
Solve 0 = 46*u + 233 + 43 for u.
-6
Solve 18*z = 11*z + 21 for z.
3
Solve 99*q = 95*q + 28 for q.
7
Solve 4*k + 11 + 1 = 0 for k.
-3
Solve 0 = 23*o - 14*o + 45 for o.
-5
Solve 108 - 30 = 13*v for v.
6
Solve -11*u + 16 = -7*u for u.
4
Solve -9 + 9 = 12*b for b.
0
Solve 88 = -31*m + 53*m for m.
4
Solve -70*t - 264 = -37*t for t.
-8
Solve -149*r = -168*r - 95 for r.
-5
Solve 7*u = 3*u + 12 for u.
3
Solve -6*k = -10*k + 27*k for k.
0
Solve -2*s + 12 = 2*s for s.
3
Solve -11 = -9*g + 20*g for g.
-1
Solve -x + 45 - 39 = 0 for x.
6
Solve 0 = 7*a - 11*a - 4 for a.
-1
Solve p = -3 + 1 for p.
-2
Solve 431*r = 432*r + 1 for r.
-1
Solve 11*v = v + 20 for v.
2
Solve -99 = -13*f - 86 for f.
1
Solve 33 = -12*s - 3 for s.
-3
Solve -57 + 120 = -7*z for z.
-9
Solve 59*v = 63*v + 24 for v.
-6
Solve 6*u = 10*u + 16 for u.
-4
Solve -7*x + 18 = -x for x.
3
Solve 0 = 30*t + 11*t - 41 for t.
1
Solve 166 = -28*b + 26 for b.
-5
Solve 37*j = 32*j + 5 for j.
1
Solve 26*x = -22*x - 288 for x.
-6
Solve -w + 12*w + 44 = 0 for w.
-4
Solve 117*j - 108*j + 27 = 0 for j.
-3
Solve 10 = z - 3*z for z.
-5
Solve -8*n + n - 28 = 0 for n.
-4
Solve 13*d - 10 = 11*d for d.
5
Solve 33 = -10*t - 77 for t.
-11
Solve 18*y + 8 = 14*y for y.
-2
Solve 24 = -9*c + 15 for c.
-1
Solve 38 = 11*n - 17 for n.
5
Solve 334*l - 24 = 328*l for l.
4
Solve 432 = -36*c + 90*c for c.
8
Solve -9 = 16*g - 7*g for g.
-1
Solve -21*x - 10 = -16*x for x.
-2
Solve -3*p + 12 + 3 = 0 for p.
5
Solve 3*q = 2*q + 5 for q.
5
Solve -19 = 13*x - 6 for x.
-1
Solve 10*q = 151 - 181 for q.
-3
Solve -8*r - 3*r + 13*r = 0 for r.
0
Solve 0 = -2*r + 2054 - 2062 for r.
-4
Solve -11*s - 11 = -0 for s.
-1
Solve -11*x - 2 + 13 = 0 for x.
1
Solve 281*x - 60 = 275*x for x.
10
Solve -78*l - 95 = 61 for l.
-2
Solve 11*z = 69 - 3 for z.
6
Solve -91 = 22*t - 25 for t.
-3
Solve -148 = -4*z - 164 for z.
-4
Solve -31*i - 2 = -30*i for i.
-2
Solve 4*s - 4 + 12 = 0 for s.
-2
Solve -11*t = -18*t - 7 for t.
-1
Solve 8*o - 213 = -205 for o.
1
Solve 78 + 204 = 47*q for q.
6
Solve -i - 24 = -7*i for i.
4
Solve -5*c + 3 = -4*c for c.
3
Solve 25*n - 24 = 37*n for n.
-2
Solve 509*p - 25 = 534*p for p.
-1
Solve -24*b - 4 = -20*b for b.
-1
Solve -49*n = -14*n + 105 for n.
-3
Solve -23 + 331 = 44*u for u.
7
Solve 17*f + 7 - 58 = 0 for f.
3
Solve 0 = -21*t + 121 + 5 for t.
6
Solve 27*s = -s - 56 for s.
-2
Solve w = -0*w for w.
0
Solve -40 = 3*i - 64 for i.
8
Solve 47*k = 31*k + 48 for k.
3
Solve 0 = -0*h - 3*h - 9 for h.
-3
Solve 0 = 14*x - 181 + 97 for x.
6
Solve j = -25*j - 130 | {
"pile_set_name": "DM Mathematics"
} |
nteger?
18
Let x = 90017513 + -90017346.909158. Let z = x + -29.991495. Let a = z - 136.1. Round a to four decimal places.
-0.0007
Let z = -599 - -598.9998602. What is z rounded to 4 decimal places?
-0.0001
Let f = 0.0696 + 138.9304. Let m = 138.9999124 - f. Round m to 5 dps.
-0.00009
Let o = -61.1 + 61.10003853. What is o rounded to five decimal places?
0.00004
Let f = 12762.999956184 + -12763. Round f to 6 decimal places.
-0.000044
Suppose 0 = 5*g - k - 4758000, -5*k - 4345441 + 539041 = -4*g. Round g to the nearest ten thousand.
950000
Let o = 1056.4014683 - 1056.4. What is o rounded to four decimal places?
0.0015
Let t(p) = -12*p - 27. Let i be t(-4). Suppose -393667 = -i*b + 181523. Round b to the nearest one thousand.
27000
Let l = -14949 + 14948.46985. What is l rounded to 1 dp?
-0.5
Suppose -9*n - 187559355 - 229910241 = 358960404. What is n rounded to the nearest 1000000?
-86000000
Let h = 17576.5 - 11295.6. Round h to the nearest one thousand.
6000
Let s = 268 + -83. Let z be 1304998/(-5) - 74/s. What is z rounded to the nearest 100000?
-300000
Let s = -2961 - -2605.3. Let b = s + 327. Round b to the nearest integer.
-29
Let c = 12724.559 - 12734. Let z = -4.96 - c. What is z rounded to one dp?
4.5
Let f = -2910.1526 - -2907.4. Round f to one decimal place.
-2.8
Let a = -30629.9845452 + 30630. Round a to 4 decimal places.
0.0155
Let d(m) = -130589*m**2 - 184. Let x be d(12). What is x rounded to the nearest 1000000?
-19000000
Let h = -438.3 - -6.3. Let s = h + 432.000191. What is s rounded to 4 decimal places?
0.0002
Let c = -24.92 - -24.7. Let v = c - -0.22656. Round v to three dps.
0.007
Let f = 41285 - 39648.86. Let l = -1658 + f. What is l rounded to zero dps?
-22
Let n = 2213.583435953 - -8230521.316555247. Let p = -8232732 + n. Let v = 2.9 - p. What is v rounded to five decimal places?
0.00001
Let m = -92948 - -189864. Let r(g) = 6290*g + 936. Let s be r(22). Let o = m - s. Round o to the nearest ten thousand.
-40000
Let y be 2/7 - 16/7. Let k(a) = -814*a**2 - 2*a - 9. Let c be k(y). What is c rounded to the nearest 100?
-3300
Let i = 26308 + -26308.00000046636. What is i rounded to seven decimal places?
-0.0000005
Let z = 10159.9999982684 - 10160. Round z to seven dps.
-0.0000017
Let t = 141.1 + -468. Let f = t + 375. Let i = -48.099801 + f. Round i to four dps.
0.0002
Let n = 32101869 + -7800869. Round n to the nearest one million.
24000000
Let k(s) = -13227*s + 9. Let w be k(2). Suppose -24*j = -19*j + 74725. Let g = j - w. Round g to the nearest one thousand.
12000
Let f = -3217.348 - 23.252. What is f rounded to the nearest 100?
-3200
Suppose -5*f + 1981 + 419 = 0. Suppose -h + f = 5*d, -10*d + 2*h = -8*d - 204. What is d rounded to the nearest integer?
97
Let y = -8520 + 8520.018646. Round y to four decimal places.
0.0186
Let o = -25056 - -24000.9. Let g = o - -1055.0993431. What is g rounded to 4 decimal places?
-0.0007
Let p(s) = 4420*s**2 - 273*s + 1385. Let b be p(5). Round b to the nearest one thousand.
111000
Let d = 2373.352 - 2380. Round d to 1 decimal place.
-6.6
Let k = 717555 - -75725. Round k to the nearest 10000.
790000
Let h = -555894514 + 883794509. Suppose 20*s = 17*s - y - h, 3*y - 15 = 0. Round s to the nearest one million.
-109000000
Suppose 30*u + 3458720 = 46*u. What is u rounded to the nearest ten thousand?
220000
Let f = 12.82 - 0.21. Let c = -0.068 + 1.078. Let z = f - c. What is z rounded to the nearest integer?
12
Suppose 3*c = -5*o - 8367, 12*o = 9*o + 3*c - 5025. Let i be -1 + 2*402 + 1. Let w = o + i. Round w to the nearest one hundred.
-900
Suppose -13*l + 27661542 + 122058 = 0. What is l rounded to the nearest ten thousand?
2140000
Let f = -10772 - -174869. Let n be 62313/((-3)/(-1))*1. Suppose -l = -3*u - f, 2*l + n = 2*u + 130165. Round u to the nearest 10000.
-50000
Let l = -0.458 + -201.542. Let y = l + 201.19. Let k = -1.35 - y. What is k rounded to one dp?
-0.5
Let w = 14083.7859 - 14063.9. Let l = 359.1 - 379. Let s = l + w. What is s rounded to 3 decimal places?
-0.014
Let l = -27.13 - -27.1304928. Round l to five decimal places.
0.00049
Let r = -105 + 98.856. Let c = 11.9 + -5.7. Let u = r + c. What is u rounded to two decimal places?
0.06
Let x = -10.337 + 6.188. What is x rounded to 1 decimal place?
-4.1
Let b = -11.96 + 11.960009928. What is b rounded to six dps?
0.00001
Let a(k) = -3563*k**2 + 8*k + 35. Suppose -5*f + 307 = -243. Let t be (f/(-30))/((-1)/3). Let g be a(t). What is g rounded to the nearest 100000?
-400000
Suppose 53787405 + 32332395 = -362*b. Round b to the nearest 100000.
-200000
Let s = -51.88 + -0.12. Let m = s + 73. Let b = m + -20.7. Round b to zero decimal places.
0
Let p = 59860 - 59860.51999. Round p to two dps.
-0.52
Let j = 29 - 352. Let b = j + 322.99999294. Round b to six dps.
-0.000007
Let g(f) = 20*f + 7*f + 4*f**2 - 18*f - 50 + 219. Let y be g(-14). Round y to the nearest 100.
800
Let c = 0.2736168 - 0.0481758. What is c rounded to three decimal places?
0.225
Let i = -0.041 - 32.959. Let h = 55 + i. Let s = h + -21.9985. What is s rounded to three dps?
0.002
Let w = 181 + -179. Let u be (12/(-10))/w - (-68292)/(-180). Round u to the nearest 10.
-380
Suppose 7*x - 58 = -16. Let a be (108400/x - 0)/((-54)/243). What is a rounded to the nearest ten thousand?
-80000
Suppose -16*a = 2134046784 - 7215166784. Round a to the nearest 1000000.
318000000
Let k = -5.242 + -0.258. Let n = -5.4999998 - k. What is n rounded to 6 decimal places?
0
Let y = -3.338 - -3.3. Let w = 0.059 + y. Let g = w + -0.066. Round g to two decimal places.
-0.05
Let u = 494 - 488. Suppose 961100 = 13*p - u*p. What is p rounded to the nearest 10000?
140000
Let v = -311 - -311.03855. Let s = -0.0344 + v. What is s rounded to three dps?
0.004
Let s = -109.78 + 87.62. What is s rounded to one dp?
-22.2
Suppose 0 = -6*x - 3*j - 160314, -6*x = -10*x + j - 106888. Round x to the nearest one hundred.
-26700
Let l = 76367 - 69960.2. What is l rounded to the nearest one hundred?
6400
Let s(b) = -b**3 + 20*b**2 - b + 23. Let y be s(20). Let w be -1 + y + 8340006/(-3). What is w rounded to the nearest one hundred thousand?
-2800000
Let x = -65581.0000093266 + 65581. Round x to 6 decimal places.
-0.000009
Suppose -320*k = 3*a - 319*k - 151611, 202174 = 4*a - 3*k. What is a rounded to the nearest 100?
50500
Suppose 243*i + 1440000 = 275*i. Round i to the nearest ten thousand.
50000
Let q = -865 - -864.996495. Round q to four decimal places.
-0.0035
Let s = 8.200584 + -8.2. What is s rounded to four decimal places?
0.0006
Let d = 4432389.79198 + -4432325. Let m = d - 64.8. Round m to four dps.
-0.008
Let b = 124 - 358. Let r = b + 233.94. What is r rounded to 1 dp?
-0.1
Suppose m - 2*j = -3*m + 482719976, 2*m - 3*j = 241359980. Suppose 0 = -4*u + 4*r - m, 0 = -4*r + 2*r - 2. What is u rounded to the nearest 1000000?
-30000000
Let y = -0.0846 - -0.072. Let z = y - -0.0541. Round z to 2 decimal places.
0.04
Let d be (463584/((-110)/10))/((-3)/(-50)). What is d rounded to the nearest 10000?
-700000
Let t = 10.25 - 10.2. Let i = 151.822 + -152. Let k = i - t. What is k rounded to 2 decimal places?
-0.23
Suppose 16*c - 8*c - 16 = 0. Suppose 8*i - 4*h = 12*i + 8412004, c*i = -5*h - 4206005. Round i to the nearest one million.
-2000000
Let p = -43069.82 - -42673. Round p to the nearest one hundred.
-400
Let s = -79006.9862297 + 79007. Let l = s - 0.0135. Round l to 4 dps.
0.0003
Let h = -156066 + 156065.999913279. Round h to 5 decimal places.
-0.00009
Let p = 138.838 - 139. Let z = 0.16199958 + p. What is z rounded to 6 dps?
0
Let d = 11093.004997 - 11093. What is d rounded to 4 decimal places?
0.005
Let s = -13416106 - 4471003. Let w = -1977109 - s. What is w rounded to the nearest 1000000?
16000000
Let g = -67990.717 + 68025. Round g to the nearest ten.
30
Let c = -0.2891362 - -0.29193. What is c rounded to 4 decimal places?
0.0028
Let z = -0.986 + 1. Let b = -8.786 - z. Let c = b - -8.79999796. Round c to 7 dps.
-0.000002
Suppose -55 = -7*q + 498. Suppose -q*l + 21980 = -51*l. What is l rounded to the nearest ten?
790
Let n = -0.0432 + -34.6568. Let q = 31 + n. Let c = 5.53 + q. What is c rounded to 1 dp?
1.8
Suppose 13*l - 1585 - 19449 = 0. Let n = l - 3718. Round n to the nearest 1000.
-2000
L | {
"pile_set_name": "DM Mathematics"
} |
7, 92, 225, 450, 791, 1272?
4*n**3 - 2*n**2 - n + 5
What is the f'th term of 54, 63, 64, 51, 18, -41, -132, -261?
-f**3 + 2*f**2 + 10*f + 43
What is the b'th term of 95, 95, 97, 101, 107, 115?
b**2 - 3*b + 97
What is the k'th term of 14, -31, -106, -211, -346, -511?
-15*k**2 + 29
What is the a'th term of 268, 269, 270, 271?
a + 267
What is the c'th term of 69, 119, 261, 543, 1013, 1719?
8*c**3 - 2*c**2 + 63
What is the q'th term of 20, 24, 2, -58, -168, -340, -586, -918?
-2*q**3 - q**2 + 21*q + 2
What is the x'th term of -118, -122, -120, -106, -74?
x**3 - 3*x**2 - 2*x - 114
What is the t'th term of 1433, 2850, 4269, 5690, 7113, 8538, 9965?
t**2 + 1414*t + 18
What is the c'th term of 52, 57, 62?
5*c + 47
What is the h'th term of -428, -859, -1288, -1715, -2140?
h**2 - 434*h + 5
What is the a'th term of -17420, -34838, -52256?
-17418*a - 2
What is the t'th term of 189, 331, 457, 561, 637, 679, 681, 637?
-t**3 - 2*t**2 + 155*t + 37
What is the t'th term of 91, 23, -19, -23, 23, 131, 313, 581?
2*t**3 + t**2 - 85*t + 173
What is the j'th term of -71, -60, -35, 10, 81?
j**3 + j**2 + j - 74
What is the a'th term of -6, -45, -158, -381, -750, -1301, -2070?
-6*a**3 - a**2 + 6*a - 5
What is the h'th term of 20, -22, -100, -220, -388, -610, -892?
-h**3 - 12*h**2 + h + 32
What is the n'th term of -20, -41, -62, -83, -104, -125?
-21*n + 1
What is the u'th term of -90, -768, -2610, -6198, -12114, -20940, -33258?
-97*u**3 + u + 6
What is the h'th term of 16, 74, 172, 310, 488, 706, 964?
20*h**2 - 2*h - 2
What is the i'th term of 7805, 7803, 7791, 7763, 7713?
-i**3 + i**2 + 2*i + 7803
What is the i'th term of -6, 6, 32, 78, 150, 254, 396, 582?
i**3 + i**2 + 2*i - 10
What is the o'th term of -35, -18, 9, 46?
5*o**2 + 2*o - 42
What is the w'th term of -2885, -5769, -8653, -11537?
-2884*w - 1
What is the l'th term of 195, 853, 1949, 3483?
219*l**2 + l - 25
What is the c'th term of -3, -4, -7, -12, -19, -28, -39?
-c**2 + 2*c - 4
What is the s'th term of 4, 21, 40, 61, 84, 109, 136?
s**2 + 14*s - 11
What is the w'th term of 96, 487, 1140, 2055, 3232, 4671, 6372?
131*w**2 - 2*w - 33
What is the l'th term of 49, 116, 213, 346, 521?
l**3 + 9*l**2 + 33*l + 6
What is the j'th term of 4, 16, 58, 148, 304?
3*j**3 - 3*j**2 + 4
What is the m'th term of -25, -38, -77, -154, -281, -470?
-2*m**3 - m**2 + 4*m - 26
What is the u'th term of -75, -163, -251?
-88*u + 13
What is the q'th term of -23, -32, -47, -68, -95, -128?
-3*q**2 - 20
What is the d'th term of -14, -87, -282, -659, -1278, -2199, -3482?
-10*d**3 - d**2 - 3
What is the k'th term of 31, 107, 183, 259?
76*k - 45
What is the u'th term of 6084, 24331, 54742, 97317, 152056, 218959, 298026?
6082*u**2 + u + 1
What is the q'th term of 277, 548, 819?
271*q + 6
What is the b'th term of 46, 56, 66, 76?
10*b + 36
What is the z'th term of -42, -191, -448, -813?
-54*z**2 + 13*z - 1
What is the q'th term of -2, 14, 40, 76, 122?
5*q**2 + q - 8
What is the g'th term of -78, -160, -242?
-82*g + 4
What is the d'th term of -89, -104, -157, -266, -449?
-3*d**3 - d**2 + 9*d - 94
What is the o'th term of 15, 49, 107, 201, 343?
2*o**3 + 20*o - 7
What is the f'th term of 6, 12, 18?
6*f
What is the t'th term of 37, 55, 63, 55, 25, -33, -125, -257?
-t**3 + t**2 + 22*t + 15
What is the h'th term of 47, 227, 709, 1643, 3179, 5467?
25*h**3 + h**2 + 2*h + 19
What is the w'th term of 30850, 30854, 30860, 30868?
w**2 + w + 30848
What is the a'th term of 1163, 2321, 3477, 4631, 5783, 6933, 8081?
-a**2 + 1161*a + 3
What is the a'th term of 647, 642, 637, 632?
-5*a + 652
What is the x'th term of 54673, 54676, 54681, 54688, 54697, 54708?
x**2 + 54672
What is the w'th term of 141, 143, 145, 147?
2*w + 139
What is the x'th term of -513, -1022, -1531, -2046, -2573, -3118, -3687, -4286?
-x**3 + 6*x**2 - 520*x + 2
What is the b'th term of -60, -117, -190, -285, -408, -565, -762, -1005?
-b**3 - 2*b**2 - 44*b - 13
What is the a'th term of -2012, -4026, -6040, -8054?
-2014*a + 2
What is the d'th term of 157, 311, 465, 619, 773, 927?
154*d + 3
What is the s'th term of 39, 63, 103, 159?
8*s**2 + 31
What is the m'th term of -31, 30, 131, 272, 453, 674?
20*m**2 + m - 52
What is the b'th term of 22, 30, 40, 52, 66, 82, 100?
b**2 + 5*b + 16
What is the z'th term of -3746, -3748, -3750, -3752, -3754, -3756?
-2*z - 3744
What is the q'th term of 8, 157, 568, 1373, 2704?
22*q**3 - q**2 - 2*q - 11
What is the y'th term of 37, 44, 65, 106, 173, 272, 409, 590?
y**3 + y**2 - 3*y + 38
What is the c'th term of 84, 83, 82?
-c + 85
What is the u'th term of 132, 227, 322, 417?
95*u + 37
What is the o'th term of -44, -58, -82, -122, -184?
-o**3 + o**2 - 10*o - 34
What is the g'th term of -52, -91, -126, -157, -184, -207, -226?
2*g**2 - 45*g - 9
What is the d'th term of -155, -188, -219, -248, -275, -300?
d**2 - 36*d - 120
What is the o'th term of -2438, -4873, -7308?
-2435*o - 3
What is the u'th term of -14, 9, 48, 103, 174, 261, 364?
8*u**2 - u - 21
What is the o'th term of -25, -9, 25, 83, 171, 295, 461?
o**3 + 3*o**2 - 29
What is the y'th term of -38, -3, 50, 127, 234, 377, 562, 795?
y**3 + 3*y**2 + 19*y - 61
What is the k'th term of -35, -34, -33?
k - 36
What is the v'th term of -4759, -19023, -42789, -76051, -118803, -171039, -232753, -303939?
v**3 - 4757*v**2 - 3
What is the s'th term of -19, -32, -49, -64, -71?
s**3 - 8*s**2 + 4*s - 16
What is the x'th term of -6, 18, 68, 156, 294?
2*x**3 + x**2 + 7*x - 16
What is the h'th term of 19, 42, 91, 178, 315, 514?
2*h**3 + h**2 + 6*h + 10
What is the z'th term of 37, 68, 131, 238, 401, 632, 943?
2*z**3 + 4*z**2 + 5*z + 26
What is the z'th term of -14, 15, 58, 121, 210, 331, 490?
z**3 + z**2 + 19*z - 35
What is the g'th term of 52, 49, 46, 43, 40, 37?
-3*g + 55
What is the m'th term of 69, 163, 257?
94*m - 25
What is the o'th term of -101, -102, -103?
-o - 100
What is the x'th term of -22, -62, -150, -304, -542, -882?
-3*x**3 - 6*x**2 - x - 12
What is the m'th term of 915, 911, 903, 891, 875, 855?
-2*m**2 + 2*m + 915
What is the w'th term of -259, -519, -779, -1039?
-260*w + 1
What is the p'th term of 1, 9, 17, 19, 9, -19?
-p**3 + 6*p**2 - 3*p - 1
What is the d'th term of 1300, 1301, 1302, 1303, 1304?
d + 1299
What is the b'th term of -1661, -1664, -1669, -1676, -1685, -1696, -1709?
-b**2 - 1660
What is the z'th term of 90, 212, 334, 456?
122*z - 32
What is the d'th term of -23, -104, -239, -428, -671?
-27*d**2 + 4
What is the u'th term of -1175, -1162, -1135, -1088, -1015?
u**3 + u**2 + 3*u - 1180
What is the j'th term of 20, 35, 70, 131, 224, 355, 530, 755?
j**3 + 4*j**2 - 4*j + 19
What is the v'th term of -16004, -15998, -15988, -15974, -15956?
2*v**2 - 16006
What is the z'th term of -535, -1082, -1629, -2176, -2723, -3270?
-547*z + 12
What is the f'th term of 77, 108, 187, 338, 585?
4*f**3 + 3*f + 70
What is the g'th term of 33, 30, 25, 18, 9?
-g**2 + 34
What is the k'th term of -53, -39, -3, 67, 183, 357, 601?
2*k**3 - k**2 + 3*k - 57
What is the w'th term of 951, 1903, 2855, 3807, 4759?
952*w - 1
What is the m'th term of 1672, 1663, 1654?
-9*m + 1681
What is the r'th term of 1121, 1106, 1077, 1028, 953, 846, 701, 512?
-r**3 - r**2 - 5*r + 1128
What is the a'th term of -3882, -7765, -11646, -15525, -19402, -23277, -27150?
a**2 - 3886*a + 3
What is the w'th term of -231, -938, -2117, -3768, -5891?
-236*w**2 + w + 4
What is the k'th term of 227, 247, 267, 287, 307, 327?
20*k + 207
What is the u'th term of -255, -485, -715, -945?
-230*u - 25
What is the a'th term of 26, 44, 70, 110, 170, 256, 374?
a**3 - 2*a**2 + 17*a + 10
What is the b'th term of -547, -1094, -1641?
-547*b
What is the y'th term of 612, 611, 624, 657, 716?
y**3 + y**2 - 11*y + 621
What is the u'th term of 82, 336, 760, 1354, 2118?
85*u**2 - u - 2
What is the u'th term of -26, -28, -30, -32, -34, -36?
-2*u - 24
What is the q'th term of 924, 925, 926?
q + 923
What is the o'th term of -15, -34, -57, -84, -115, -150, -189?
-2*o**2 - 13*o
What is the g'th term of 179, 364, 547, 728?
-g**2 + 188*g - 8
What is the g'th term of 43, 167, 291, 415, 539, 663?
124*g - 81
What is the m'th term of -712, -1447, -2196, -2965, -3760, -4587, -5452?
-m**3 - m**2 - 725*m + 15
What is the a'th term of -47, -99, -153, -209, -267, -327?
-a**2 - 49*a + 3
What is the k'th term o | {
"pile_set_name": "DM Mathematics"
} |
3*z - 137 - 199 = 0. Calculate the greatest common factor of z and s.
28
Let h be 0 - (-1 + 2)*-17. Suppose 155 = 3*b - 4*w - 100, 7*b - 3*w - 595 = 0. Calculate the greatest common divisor of h and b.
17
Suppose -b - d - 8 = -3, 3*b + 25 = -5*d. Suppose 3*q = -4*y - 145, -q + 2*y + 2*y - 27 = b. Let n = 61 + q. Calculate the greatest common factor of n and 18.
18
Let f(b) = 89*b + 6. Let h be f(-1). Let p = h - -251. Calculate the greatest common divisor of p and 42.
42
Suppose -4*l + 177 - 61 = 0. What is the highest common divisor of 261 and l?
29
Suppose 5*c + 2*x = 1019, -2*x + 250 + 154 = 2*c. What is the highest common factor of 123 and c?
41
Suppose -5*b = 87 - 212. What is the highest common factor of 1 and b?
1
Let m = 90 - 31. Calculate the highest common factor of 1 and m.
1
Suppose 9*l - 2122 = 254. Let r = -43 - -76. Calculate the greatest common factor of r and l.
33
Suppose -g + 8*y = 3*y - 50, -362 = -5*g - 3*y. Suppose -2*w + 147 = 2*v + w, 5*w - g = -v. What is the greatest common divisor of 30 and v?
15
Let r(k) = -17*k - 5. Let a(t) = 9*t + 2. Let f(h) = 7*a(h) + 3*r(h). Let v be f(-2). Let j = 88 + v. Calculate the greatest common factor of j and 9.
9
Suppose l = -5*j + 1105, -5*j - 8*l = -5*l - 1115. Let p = 21 + -47. Let k = p + 46. What is the greatest common divisor of j and k?
20
Suppose 3*g + 3*z - 4*z + 123 = 0, 0 = 2*z. Let w = g + -55. Let m be w/15*(-5)/2. What is the highest common divisor of 128 and m?
16
Let z = -138 + 166. Calculate the greatest common factor of 4 and z.
4
Let m = -2454 - -2465. Suppose n - 2*y - 88 = 0, 0*n + 3*n - 264 = -5*y. What is the highest common factor of m and n?
11
Let k(u) be the second derivative of -u**5/20 + 2*u**4/3 + u**3/6 + 4*u**2 + 12*u. Let t be k(7). Calculate the greatest common divisor of 4 and t.
4
Let z(n) = -18*n - 108. Let q be z(-11). Calculate the greatest common factor of 50 and q.
10
Let n be 6 - (-2 + 1 - 2). Let z(v) = v**3 - 10*v**2 + 11*v - 4. Let i be z(n). Let m be -2*i*10/(-8). What is the greatest common divisor of 5 and m?
5
Suppose 4*t = 2*r + 50, -7*r + 2*r = 5*t - 25. Let m = 112 - -29. Let b be m + -26 - (4 - -1). Calculate the greatest common factor of b and t.
10
Let n(k) = 3 - 12*k - 2*k**2 - 6*k + 4*k. Let f be n(-7). What is the highest common divisor of 2 and f?
1
Let f(h) = -9*h**2 - h**2 - 19*h**3 + 7*h**2 + 9*h - 8*h - 2. Let z be f(-2). What is the greatest common factor of 17 and z?
17
Suppose 5*l = 16 + 64. Let a = 35 + -21. Let v = -6 + a. Calculate the greatest common factor of l and v.
8
Let z be ((-156)/(-9))/(2/3). Suppose 31*h - 29*h - 104 = 0. Calculate the greatest common divisor of z and h.
26
Let a = 1619 + -595. What is the highest common factor of 16 and a?
16
Suppose 0 = 9*f - 13*f + 828. Let a = 68 - 45. What is the greatest common divisor of a and f?
23
Let v(q) = 0*q + 7 + 7 + q - 5. Let h be v(0). Let b be (-6)/4 - 57/(-2). Calculate the highest common divisor of b and h.
9
Suppose -2*p + 4*w + 70 = -0*p, 3*p - 120 = 3*w. What is the highest common divisor of 10 and p?
5
Let x(v) be the first derivative of -5*v**2/2 - 12*v - 11. Let a be x(-5). Let n = 2 - -24. Calculate the highest common divisor of n and a.
13
Suppose -38*i = -18*i - 2400. What is the greatest common divisor of i and 150?
30
Let l(k) = 3*k + 32. Let u(v) = -3*v - 32. Let j(p) = -3*l(p) - 2*u(p). Let a be j(-16). What is the highest common divisor of a and 16?
16
Let b(v) = 83*v**2 + 5*v - 23. Let u be b(2). What is the highest common divisor of u and 88?
11
Suppose -2*i + 29 = -3*r + 4, 5 = i - 3*r. Let y be (-1)/(i/(-8)) + (-446)/(-10). Calculate the highest common factor of y and 18.
9
Suppose 65*i = 68*i - 171. Calculate the greatest common factor of i and 76.
19
Let n be 1/(-2) + (-300)/(-24). Let u = 123 + -99. What is the highest common factor of n and u?
12
Suppose 0 = h - 164 + 125. What is the greatest common factor of h and 13?
13
Suppose h - 40 = 6*h. Let d be 50*-5*(-4)/h. Let t be 1/3 + d/(-3). Calculate the greatest common factor of t and 7.
7
Suppose 29*j - 484 = 7*j. What is the greatest common factor of j and 11?
11
Let d(v) = v**2 + 47 - 4*v + 32*v - 4*v. Let f be d(-23). Calculate the greatest common divisor of 192 and f.
24
Let f(v) = v**3 + 14*v**2 + 12*v - 7. Let m be f(-13). Suppose 12 = 10*w - m*w. What is the greatest common factor of w and 27?
3
Suppose -38*p - 78 = -40*p. What is the highest common factor of 91 and p?
13
Let u be -5 - (5 - (2 + 80)). Suppose -u = 30*x - 31*x. Calculate the greatest common factor of 8 and x.
8
Let f = -1233 + 1269. Calculate the greatest common factor of 192 and f.
12
Let c(s) = 2*s + 128. Let j be c(-42). Calculate the greatest common factor of 99 and j.
11
Let b be 4/14 - (-187)/7. Suppose 25 = 5*z - 5*p, 5*z - p - 5 - 12 = 0. What is the highest common factor of b and z?
3
Let q(c) = 14*c - 15. Let s be q(1). Suppose 2*t = 3*h + 435, 4*t - t - 655 = 2*h. Let m be t/((-3)/s) + 2. What is the highest common factor of m and 15?
15
Let z(g) = 4*g**2 - 1. Let m be z(-1). Suppose -2*q + 4 + m = v, q - v - 2 = 0. Let t be (q/(9/(-24)))/(-1). What is the greatest common divisor of t and 72?
8
Let j be (4/10)/((-2)/(-30)). Let p = j + 26. Let u be 1/((-2)/(-97 + 1)). What is the greatest common factor of p and u?
16
Suppose -3*w = 3*l - 9, 3*w + 1 = 2*l - 5. Suppose -33 = -2*p + l*r, 12 = -4*r - 0*r. Calculate the greatest common factor of 132 and p.
12
Let c = 161 - 137. What is the highest common divisor of c and 24?
24
Let u = 186 - 73. Suppose -u - 107 = -4*q. Let j be (-11)/((-2)/((-8)/(-2))). Calculate the greatest common factor of j and q.
11
Let b be ((-4)/(-6))/(2/3). Suppose 2 = 11*z - 9*z. Suppose 0 = -c - 3, 3*c - 1 = -n + z. Calculate the highest common divisor of n and b.
1
Let f(j) = 13*j - 133. Let k be f(11). Let y be (-2)/(-5)*(157 - 2). Let c = y - 42. What is the greatest common factor of c and k?
10
Let u(t) = -t**3 - 6*t**2 + 12*t + 33. Let h be u(-8). Calculate the greatest common factor of h and 13.
13
Let y(r) be the first derivative of r**3/3 + 3*r**2 - 16*r - 29. Let p be y(-11). Calculate the highest common divisor of p and 429.
39
Let l be 41 + (4 + -54)/10. Let s be 372/20 + 6/(-10). Let p be (s/(-8))/(5/(-40)). Calculate the greatest common divisor of p and l.
18
Let h be 10*2 + (-1 - 7) + 3. Calculate the greatest common divisor of 12 and h.
3
Let k = -9 - -19. Suppose -k = -f + 44. Let a(l) = l - 3. Let b be a(12). Calculate the highest common factor of b and f.
9
Let x(c) = -6*c**3 - c**2. Let q be x(-1). Suppose 0 = -q*s - 3*i + 115, s + 2*i + 30 = 3*s. Calculate the greatest common divisor of 100 and s.
20
Let u(s) = -5*s**3 + 2*s - 2. Let p be u(1). Let l be 1*(-66)/15*p. Let m be (-196)/(-9) + (-4)/(-18). What is the greatest common divisor of l and m?
22
Suppose -4*j - 4*p + 232 = -0*j, 0 = j + 2*p - 60. Let a = -92 + 93. Let i be ((-22)/(-2))/a - 3. What is the greatest common divisor of i and j?
8
Let r(d) = -4 - 4*d**2 + 0 - 1 - d**3 - 7*d + 1. Let s be r(-5). Let c(o) = o**2 + 14. Let n be c(0). What is the greatest common divisor of n and s?
14
Let x be (-79 + 3)*(-3 + 10/4). Let g = x - 23. What is the highest common divisor of g and 165?
15
Let a = 268 + -48. What is the greatest common divisor of a and 176?
44
Let q(r) = 8*r**2 + 38*r + 266. Let z be q(-19). What is the greatest common divisor of 19 and z?
19
Suppose 0 = 2*m + 3*m - 80. Let h be (-4)/m - (-42)/8. Suppose -141 + 36 = -h*a. Calculate the greatest common factor of 14 and a.
7
Suppose 0 = -4*q + 20, -2*r + 31 = -0*r + 5*q. Let h be 5 + -4 + r + 1. What is the greatest common factor of h and 55?
5
Let t(b) = b**2 + 17*b + 16. Let f be t(0). Suppose 0 = 2*m + 3*m - 240. What is the highest common divisor of m and f?
16
Let q(p) = -p**3 + 29*p**2 + 63*p + 9. Let i be q(31). Let u = 9 + 11. Calculate the highest common factor of i and u.
20
Let a = -36 - -75. What is the greatest common factor of a and 429?
39
Let z be (-142)/(-8) + (-2)/(-8). Let k be (45/25)/(-1 - (-6)/5). Suppose 0 = k*o + o - 540. Calculate the greatest common divisor of z and o.
18
Suppose -10 = -2*j - 2. Suppose 2*x + j*i = -i - 33, 0 = x + i + 9. Let u be 2/(-4*x/88). What is the greatest common divisor of 55 and | {
"pile_set_name": "DM Mathematics"
} |
- 2. Let l be ((-91)/(-42))/(-13) - 653/6. Let n = -107 - l. Does 16 divide x(n)?
False
Suppose -2*d = 5*l - 8, 0*d + d = 5*l + 4. Suppose l = -3*s - 69 + 798. Is s a multiple of 27?
True
Suppose -4*s = -4*t - 16392, -266*t = 4*s - 262*t - 16440. Does 4 divide s?
True
Suppose -10*z + 1287 = -7*z. Suppose 0 = 11*f - 4312 + z. Is f a multiple of 18?
False
Suppose -6028 = -9*d + 2900. Does 62 divide d?
True
Suppose -z + 5*t = -1492, 0 = -2*z - t - 981 + 3932. Is z even?
False
Suppose a = -d - 158 + 33, -5*a + 4*d = 616. Suppose -4*q + 3022 = 3802. Let o = a - q. Is 29 a factor of o?
False
Let d = -25138 - -25390. Is d a multiple of 126?
True
Suppose n - 12179 = -2*b, -6*b + 7*b - 6062 = 5*n. Does 8 divide b?
False
Is (11 - (-2115864)/60) + (-7)/5 a multiple of 297?
False
Let a(m) = m**2 + 14*m + 17. Let i(l) = -l**2 - 7*l - 8. Let r(n) = -3*a(n) - 5*i(n). Let z be r(5). Suppose 6 = 2*b, -z*x = 4*b + 82 - 254. Is 4 a factor of x?
True
Let y(p) = 32*p**2 + 5*p - 9. Let q be y(-6). Let j be (-2)/4 - q/14. Let g = 83 + j. Does 3 divide g?
True
Let q = -9 - -16. Let g(z) = z - 4. Let w be g(q). Suppose -4*k = 20, w*k + 351 = -a + 5*a. Does 14 divide a?
True
Let v(t) = -t**2 + 17*t - 32. Let h be v(14). Suppose 18*y - h*y = 864. Is y a multiple of 27?
True
Suppose 3485*s - 19216 = 3481*s. Does 111 divide s?
False
Suppose -g - 27*g + 1864720 = 37*g. Does 88 divide g?
True
Let q = -76 + 79. Suppose 181 = q*x - 5*h - 286, -139 = -x + 5*h. Is 8 a factor of x?
False
Suppose 5*r + 4*l - 21344 = -0*l, 2*r = -2*l + 8540. Is r a multiple of 46?
False
Let i be 2 + (-894)/(-9) + 4/(-3). Suppose -y - i = 3*y - 5*s, s + 16 = -y. Let d = y + 52. Is 11 a factor of d?
False
Suppose -1719*x - 8337 + 63807 = -1709*x. Is x a multiple of 9?
False
Suppose -5*n + 8*u - 7*u = -17, -3*u = -5*n + 21. Suppose 0 = -5*a - p + 244, 2*a - 10 - 85 = -n*p. Does 14 divide a?
False
Suppose 2*y + 19*k - 24*k = -13, 4*y + k = -81. Let w(p) = -p**2 - 14*p + 8*p - 25 - 16*p. Is 6 a factor of w(y)?
False
Let j = 3 - 13. Let x be 24/(-6) - j - (1 + 0). Does 11 divide 41 + (x - (-4 - -6))?
True
Suppose -9*g - 3*h = -38061, -11*g + 3*h + 16916 = -7*g. Is g a multiple of 31?
False
Suppose -3*a + 157 = -2*f, -a = -6*a + 25. Let w = 87 + f. Suppose -w*s = -474 - 70. Is s a multiple of 17?
True
Let q = 17443 + -6164. Does 9 divide q?
False
Let i(z) = -118*z - 841. Is i(-9) a multiple of 3?
False
Does 16 divide (1*(-3)/(-6))/((-55)/(-1280070))?
False
Suppose -142*d + x = -143*d + 5675, -d = -x - 5677. Is 66 a factor of d?
True
Let k be -1 - ((-30)/5 + 5). Suppose 2*o - 340 = -o - 5*b, -4*o + 4*b + 432 = k. Is o a multiple of 10?
True
Let l = -10162 + 11419. Does 17 divide l?
False
Suppose 2*u = -2*l + 13076, 8*l - 19590 = 5*l + 3*u. Is l a multiple of 5?
False
Suppose -95*d + 120963 = -34362. Is 11 a factor of d?
False
Suppose 0 = 14*j + 4*s - 7894, 5*j - 1180 = -s + 1641. Does 2 divide j?
False
Let p(g) = 3*g - 31. Let k be p(12). Suppose k*d - 440 = -2*j - 100, 4*d = -j + 275. Does 7 divide d?
True
Is 14 a factor of (1*-6)/(-7*(-51)/(-138397))?
False
Let q(c) = -6*c + 17 - 1 - 6 - 11*c. Let r be q(-2). Does 9 divide 5/4*(-11)/(r/(-272))?
False
Let s = -150 - -222. Let m = s - 10. Suppose -5*w + 6*w - m = 0. Does 10 divide w?
False
Let p = -1 - 1. Let r be 9080/45 + -4 + p/(-9). Let x = -113 + r. Is x a multiple of 13?
False
Let a(y) = -11*y**3 - 3*y - 4 + 14*y**3 + 2*y - 6 + y**2. Is a(3) a multiple of 7?
True
Let o = 247 + -244. Suppose 8232 = 5*u + o*u. Is u a multiple of 49?
True
Let p = -6990 + 7445. Is p a multiple of 18?
False
Let u = 261 + -228. Is (413/(-539) - 3/u)*-357 a multiple of 18?
True
Let t = 264 + -261. Let c be 1012/14 - 4/14. Suppose t*w = 7*w - c. Is 4 a factor of w?
False
Does 40 divide 128/6*73/(7/(-84)*-4)?
False
Let x(z) = z + 10. Let s be x(-8). Suppose 39 = -3*u - 3*r, s*r = 5*u + 44 + 42. Is 11 a factor of ((-11)/3)/(u/48)?
True
Suppose -l + 6*l - 4*o + 261 = 0, 0 = 5*o + 5. Suppose z - 3*j - 5 - 45 = 0, -5*z + 288 = 4*j. Let h = z + l. Is 3 a factor of h?
True
Let p be (-3932)/(-6) - 10/(-15). Suppose -u = 558 - p. Does 45 divide u?
False
Let o(y) = -27*y**3 + 147*y**2 - 5*y - 130. Is o(-12) a multiple of 38?
True
Suppose u + 16 = 2*i - 2*u, -u + 23 = 5*i. Suppose m + 5*j + 50 = 6*m, j = -i. Suppose 3*v = 5*t + 332, -m*v + 0*t + 2*t = -566. Is v a multiple of 17?
False
Let h = 1898 + 7519. Does 43 divide h?
True
Let z = -6933 - -15330. Is 27 a factor of z?
True
Let g(n) = 82 - 4*n + 24 + 4 - 14*n. Does 11 divide g(0)?
True
Suppose -2*s - 2*m + 68646 - 20450 = 0, -4*s + 96427 = -m. Does 17 divide s?
False
Suppose 11*v - 2219 - 6669 = 0. Is 56 a factor of v?
False
Let z(d) = -d**3 + 19*d**2 - 38*d + 74. Let g be z(17). Suppose 0 = g*k - 9*k - 5*j + 260, -3*j = -3*k + 228. Is k a multiple of 20?
True
Is 96 a factor of (-25650)/20*128/(-10)?
True
Let v be 45/10*((-2)/6 + 1). Suppose -v*f + 3243 = 4*p, 5*p = 6*p - f - 809. Is p a multiple of 10?
True
Let a = 143 + -227. Let r be ((-4)/(-5))/(8/(-1420)). Let g = a - r. Is g a multiple of 29?
True
Let p(l) = 811*l**2 + 16*l - 1. Suppose 4*k - 22 = 6*k. Let s(o) = -162*o**2 - 3*o. Let u(h) = k*s(h) - 2*p(h). Does 24 divide u(-1)?
False
Suppose -a - 90 = 5*t - 980, 2*a - 364 = -2*t. Let k = t - 47. Suppose -5*h = -5*g - 0*h + 325, h = -2*g + k. Is g a multiple of 13?
True
Let l = 14095 + -8469. Is l a multiple of 21?
False
Let i(c) = -c + 92. Let w(p) = 31. Let m(g) = -2*i(g) + 7*w(g). Let j be m(20). Suppose -j - 71 = -2*a. Is a a multiple of 8?
True
Let a = -9753 - -13119. Is a a multiple of 27?
False
Suppose 0 = -3*a + w + 65, -5*a - 4*w - w + 95 = 0. Let q(l) = l**2 - 19*l - 17. Let o be q(a). Suppose -68 = 24*j - o*j. Is 17 a factor of j?
True
Let f = 8002 - 6038. Is f a multiple of 7?
False
Does 3 divide ((-12)/30 - 8/(-10))/(6/5190)?
False
Suppose -v + 2 = -8*p + 6*p, -p = 4*v + 1. Suppose 2*u + 6 + v = 0, -2*u = n - 363. Is 25 a factor of n?
False
Suppose 3532 = 13*m - 2175. Suppose 88 = -3*p + m. Is 9 a factor of p?
True
Let r be (-15)/(-120) - (-3042)/(-16). Is 19 a factor of (-4)/((12/r)/6)?
True
Suppose 4*t - 525 = t. Suppose 9*q - t = 4*q. Suppose 6*z - q = 457. Is z a multiple of 41?
True
Let s be -373 + (30/((-36)/6) - -3). Let w = -7 - s. Is w a multiple of 16?
True
Let m(h) be the second derivative of -h**5/20 - h**4 - h**3/2 - 31*h. Does 18 divide m(-12)?
True
Let k be (-47)/(-5) - 48/(-80). Does 4 divide 166/((-5)/(k/(-4)))?
False
Let f(i) = 2557*i**2 - 59*i - 91. Is 71 a factor of f(-2)?
False
Suppose z = -4*d + 56034, -2*d = -31*z + 35*z - 28038. Does 228 divide d?
False
Let z(i) = -6*i + 38. Let g be z(7). Let k be (9/(-6))/((-3)/g). Does 14 divide 90 + -3 + (-4)/k + 1?
False
Let v(h) = -h**2 + 14*h - 9. Let m be v(5). Suppose 4*l = -o + m, -3*l + 3*o + o = -27. Suppose 4*y - 12 = 0, 0 = -4*x - 5*y + l*y + 132. Is 6 a factor of x?
True
Suppose -3*m + 3*i + 8 = 4*i, 4*m - 4*i = 16. Suppose -5*c + 276 = -m*v, -2*c - 4*v = -4*c + 116. Does 17 divide c?
False
Is 196 a factor of 2/15 + 118352780/3900?
False
Suppose 33465 + 1021796 = 141*y - 552139. Is y a multiple of 19?
True
Let n(p) = -91*p - 3. Suppose 2*z + 3*z - 3*m - 23 = 0, 3*m - 13 = -4*z. Suppose z*q - 2*q + 2 = 0. Is n(q) a multiple of 8?
True
Suppose 0 = 881*w - 871*w - 6800. Does 4 divide w?
True
Let k = 159 + -97. Suppose 27 = 3*s + 5*r, -3*s = -5*r - k + 5. Is s a multiple of 7?
True
Suppose 17*n - 13*n = 8. Let r(h) = -5*h**3 - 2*h**2 + 5*h - 3. Let t be r(n). Is (-6 - -5)*(t/1 - 1) a multiple of 15?
False
Let q be (-3 - (-20)/5)*3646. Does 19 divide (-8)/(-32) + q/8?
True
Suppose 3*g = -2*g + 1460. Let q = g + -193. Suppose -q = -3*h + 87. Does 29 divide h?
False
Let c(o) = 15*o**3 - 6*o**2 - 7*o + 26. Does 36 divide c(11)?
True
Let w(d) = d**2 + 526. Let r be w(0). Let f(s) = 3*s - 25. Let h be f(10). Suppose -r = -4*j - 2*p + 12, 0 = -h*j - 4*p + 677. Is 31 a factor of j?
False
Let b(y) = -21*y - 159. Let k be b(-5). Is 19 a factor of -1*(3 + 1)*(k + -3)?
True
Let w = 3839 - 1125. Is w a multiple of 92?
False
Let g(t) = -2*t**3 + 5*t**2 + 5*t + 37. Let u be g(8). Let v = u - -657. Is v a multiple of 27?
False
Suppose 0 = f - 5*v - 3637 - 1409, -f = v - 5082. Does 6 divide f?
True
Let x be 3927/(-28) - (0 - 1)/4. Let c = x + 234. Suppose | {
"pile_set_name": "DM Mathematics"
} |
est value in -1/3, 2, s?
s
Let u = 0.08 + 0.92. Which is the third smallest value? (a) u (b) -0.2 (c) -3
a
Let t be (-2)/4 + (-1)/4. Let r = 0.07 + 5.93. Let k = -5 + r. What is the third biggest value in k, t, 0.1?
t
Let h = 10.3 + -10.39. What is the smallest value in 2/9, -0.1, -5, h?
-5
Let f be (2 - (-8)/(-6))*1/(-2). Let x = 11/16 - 3/16. What is the second smallest value in 5, x, f?
x
Let i be ((-15)/182)/((-3)/(-44)). Let z = i + 12/13. Which is the biggest value? (a) -3 (b) z (c) 3
c
Suppose 2*d + 6 - 10 = 0. Which is the third smallest value? (a) -5 (b) d (c) 9
c
Let q = 4.9 - 5. Let m = q - -0.14. Let u = m + -0.24. What is the third smallest value in -3, u, 3?
3
Let v be 9/5*(-20)/(-6). Let s be (10/v)/(36/(-27)). Let q be (3/4)/(1/(-4)). What is the second smallest value in -0.4, s, q?
s
Let l = -3.3 + 2.9. Which is the fourth smallest value? (a) -3 (b) l (c) 2 (d) 2/5
c
Let b = 9 + -17/2. Let f = -16 - -79/5. What is the second biggest value in 2/5, f, b?
2/5
Let m = -82.02 - -84. Let y = m + 0.02. Let c = -2.7 - -2.7. What is the second biggest value in y, c, 6?
y
Let o = -7/6 + 5/3. Which is the third biggest value? (a) 3/2 (b) o (c) -0.2
c
Let z = 11 - 38/3. What is the second biggest value in 4, 3/2, z?
3/2
Let a = 5 + -3. Let f be (4/6)/(a/(-6)). Let z be f + 116/30 - 2. What is the third smallest value in 0.3, -2/11, z?
0.3
Let k = 2.95 + 0.05. Suppose -4 = -4*x - h + 5, 5*x = -2*h + 15. Let q = 1 + x. Which is the third smallest value? (a) -4 (b) q (c) k
c
Let c = 8.4 - 8. Suppose -g - g + 8 = 0. What is the biggest value in 0, g, c?
g
Let u = -47 - -46.7. Which is the second biggest value? (a) 1/4 (b) u (c) -0.06
c
Let l = 69 - 209/3. Which is the second biggest value? (a) -1 (b) l (c) 3/8
b
Suppose -w = 2*w - 12. Suppose -h - 27 = -3*u, 2*u + w*h = h + 7. What is the biggest value in u, -3, -0.2?
u
Let z be (-113)/(-6) - 5/15. Let p = 18 - z. Which is the biggest value? (a) -1/5 (b) p (c) 1
c
Let h = 0.1 + -1.1. Let r(f) = 7*f + 8. Let i be r(0). What is the smallest value in h, i, -2?
-2
Let l = 255/4 + -64. Which is the biggest value? (a) 1 (b) 0.5 (c) l
a
Let j = 14 - 11. Which is the smallest value? (a) j (b) 0.4 (c) 4/7
b
Let d = -1.04 - -1. Let f = -4.04 - d. Let p = 7 + f. Which is the smallest value? (a) -1 (b) 1 (c) p
a
Let k = 132 - 136. Which is the second smallest value? (a) 3/7 (b) -0.3 (c) k
b
Suppose 380 + 400 = 5*k. Let l be (-262)/(-42)*(-7)/k. Let m = -3/52 - l. Which is the second smallest value? (a) 0 (b) m (c) -2
a
Let v = -2.03 + 1.73. What is the third biggest value in -0.5, 23, v?
-0.5
Let h = 14.2 - 6.1. Let g = h + -8. Which is the biggest value? (a) g (b) 4 (c) -2
b
Let f = 0.17 - 0.17. What is the second biggest value in f, -0.3, 5?
f
Let h be 0 + 2*-1 - -12. Let z be (h/(-4))/(4/8). Which is the biggest value? (a) z (b) -2/5 (c) -2
b
Let t = -13 - -9. Let k = -4.4 - t. Suppose -20*y + 16 + 44 = 0. What is the third smallest value in y, k, 2?
y
Let w(p) = p**3 + 4*p**2 - 5*p + 3. Let l be w(-5). Let u = -0.9 + 5.9. Which is the third smallest value? (a) l (b) u (c) -2
b
Let f = -0.02 + 0.32. Let b = 74 - 371/5. What is the smallest value in -5, f, b?
-5
Let i = 52 + -58. Which is the smallest value? (a) 0.1 (b) i (c) 0.3
b
Let d = -113.76 - -117. Let x = -0.24 + d. What is the third biggest value in -0.01, 0.4, x?
-0.01
Let l = -0.07 + 12.07. Let z = 14 - l. What is the second smallest value in -2/9, 0.2, z?
0.2
Let w = -19 + 17. Which is the third smallest value? (a) -1 (b) w (c) -4
a
Let z = -48.5 - -48. What is the third smallest value in 0.01, z, -3/4, -4?
z
Suppose -8 - 2 = -2*d. Let n = -4 + d. Let h be -3 + (0 - (-2 + n)). Which is the second biggest value? (a) h (b) -2/5 (c) 5
b
Let m = 25/92 + -1/46. Let i = 0.146 - 0.146. What is the biggest value in m, -1, i?
m
Let v(u) = 0*u**2 + 4*u**3 - u**3 - 4*u**3 - u**2 - u. Let p be v(0). Which is the second smallest value? (a) p (b) -4/7 (c) 2/15
a
Let g = 0.81 - 0.11. Let m = 3.7 - g. Let j = -28.7 - -29. Which is the third biggest value? (a) -3 (b) j (c) m
a
Let q = -63 - -67. What is the third smallest value in q, -5, -4?
q
Let g = -0.4 + 0. Let u = -2/33 - 7/66. Which is the second biggest value? (a) 0 (b) u (c) g
b
Let c be 2/4 - 3/30. Let x = 5 + -7. Let j = 0.05 - 0.35. What is the second biggest value in x, c, j?
j
Let h = 0.08 + 1.42. Let z = -3 - -4. Let t = z - h. Which is the biggest value? (a) -0.2 (b) -1 (c) t
a
Let o = 2.6 + -6.2. Let k = o + 4. Let r = k + -0.1. Which is the third smallest value? (a) r (b) 1 (c) 0
b
Suppose 3*m - 12 = 5*n, -5*m + 8*n + 10 = 3*n. Which is the smallest value? (a) -3 (b) 1/5 (c) m (d) -0.3
a
Suppose -2 = 3*z + 5*t + 14, 2*t = z - 13. Let w = z - 6. Let f = 67/205 - -3/41. Which is the second smallest value? (a) w (b) 1/4 (c) f
b
Let x = -1/33 + -28/165. Suppose z - 5 = -3. Suppose -5*u + 2 = 4*s - 2*s, 0 = -5*s + z*u - 24. Which is the third smallest value? (a) x (b) s (c) -2
a
Let w = -6 - -5. Let x be ((-12)/(-4) + w)/(-6). Let p = -437/3 + 144. Which is the smallest value? (a) p (b) x (c) -3/5
a
Let i be 2/((-3)/(-2) - 2). Which is the smallest value? (a) 5 (b) i (c) 2
b
Let w = 107/3 - 419/12. Let a = 36 + -39. What is the second smallest value in w, 0, a?
0
Let t = -0.4 - -0.4. Let q = t - 0.01. Let x = -0.31 - q. What is the second biggest value in 2, 3, x?
2
Let m be -4 + 152/20 + -4. What is the second biggest value in -0.2, m, 3?
-0.2
Let x = 12 - 17. What is the second biggest value in 0.13, x, -2/9?
-2/9
Let p = 17 + -15. Which is the third smallest value? (a) 0.3 (b) -2/11 (c) p
c
Let d(x) = -11*x**3 + 2*x - 2 - 4*x - 2*x**2 - 10*x**3. Let l be d(-2). Let t = 1460/9 - l. Which is the third smallest value? (a) 4/3 (b) -1/3 (c) t
a
Let d = 0.4 - 0. Let u = -23 + 28. What is the third biggest value in d, u, -5?
-5
Let m = -5.7 - -6. Let w = 45 - 44.9. What is the third smallest value in m, w, -3?
m
Let k = -3 - -3.5. Suppose 0 = -2*u - 2*u - 8. What is the third smallest value in u, k, -0.1?
k
Let o = -13 - -13. What is the third biggest value in -2, 4, o?
-2
Let x = -2.9 + 3. Let h = x - 0.5. Let z = 8/21 - 5/21. What is the second biggest value in 1/10, z, h?
1/10
Let g be (-3)/(-1) + 3*1/(-2). Which is the fourth biggest value? (a) 5 (b) 0.3 (c) -3/8 (d) g
c
Let o = 1.03 + -1. Let s = 0.43 - o. Let t = 20 - 19.9. Which is the biggest value? (a) -0.2 (b) t (c) s
c
Suppose 47 = -7*j - 16. Which is the biggest value? (a) -2/5 (b) -5 (c) j
a
Let d be 2/(-6) - 24/9. Suppose 2*r = 3*o + 11, -4 = 2*o + 3*r - 1. Let l = -4 - o. Which is the third smallest value? (a) 1 (b) l (c) d
a
Let w = 0.42 + -0.01. Let o = w + -0.01. Let f = 0.4 - -4.6. Which is the smallest value? (a) f (b) 1 (c) o
c
Let w = 4/19 - -7/57. Let c be -2 + 1 + 3/6. Let p = 6 + -11. What is the third smallest value in p, w, c?
w
Let u be ((-10)/(-4))/(5/(-10)). What is the third biggest value in 2/17, -1, u?
u
Let h = 674 - 672. Let i be 4/10*(1 + 0). Which is the second biggest value? (a) h (b) -0.3 (c) i
c
Suppose b = -b + 50. Suppose 2*z - 3*z + 1 = h, -5*h + z = b. What is the biggest value in -0.4, -2, h?
-0.4
Let u be (-4)/38*(-2 + 3). Let g = 29/6 + -191/42. Let x = 68/15 - 21/5. Which is the third biggest value? (a) u (b) x (c) g
a
Let k be (2/9)/(16/(-6)). Let x = 34 - 36. Let s = 2.5 + -2. What is the biggest value in k, s, x?
s
Let p = -0.3 - 0. What is the third biggest value in -2/15, 5, p?
p
Let q be 38/12 + 4/(-6). Let o = 0 + -3. Let n = -4 - o. Which is the second smallest value? (a) -0.2 (b) n (c) q
a
Let p = -1.6 - -0.6. Which is the third smallest value? (a) 2/9 (b) 0.3 (c) p
b
Let j = 0.031 + -4.431. Let y = j - -0.4. Let d = y - -3.6. What is the biggest value in -3, d, -1?
d
Let i be 1/(9/(-30)) + 3. What is the second smallest value in 2, 3, 5/3, i?
5/3
Suppose w + 0 = 1. Let f = -8.2 + 7.7. What is the biggest value in w, f, -3?
w
Let i = 0.2 - 0.7. Let g = -291 - -291. Which is the second biggest value? (a) g (b) i (c) 3
a
Let x be (-2 - -2) + -1 - (-15)/25. Which is the second smallest value? (a) 5 (b) 1.5 (c) x
b
Let q be (21/(-9) - -3)/((-8)/12). Let p = -3 + | {
"pile_set_name": "DM Mathematics"
} |
e 10) to base 9.
-48754
Convert d939e (base 15) to base 4.
2220102230
Convert -2c98b3 (base 13) to base 10.
-1106589
What is -98165 (base 11) in base 16?
-22d11
-3978c (base 14) to base 9
-235015
66831e (base 16) to base 9
13568618
-1164564 (base 7) to base 12
-73139
360810 (base 10) to base 15
71d90
Convert -112132320 (base 4) to base 15.
-1c443
What is -4204333 (base 8) in base 14?
-210bb5
Convert 16156543 (base 8) to base 11.
2115a11
-100102011000120 (base 3) to base 15
-68c2e3
-30313130 (base 4) to base 6
-1043552
What is -7504276 (base 9) in base 6?
-222044023
What is -116401534 (base 7) in base 10?
-7362079
-1c264 (base 16) to base 5
-12142200
What is -94018 (base 12) in base 16?
-2f414
-1110210220 (base 3) to base 15
-88ec
What is 240131023 (base 5) in base 8?
4142210
45542201 (base 6) to base 8
5251531
-4010424 (base 5) to base 4
-33130013
-1667462 (base 8) to base 9
-822303
What is -330201313003 (base 4) in base 6?
-1324031511
Convert -4024304334 (base 5) to base 13.
-1887124
What is -163162 (base 8) in base 5?
-3341434
1000100011010011011 (base 2) to base 15
58064
Convert 1200220030 (base 4) to base 6.
12252204
What is 221031032 (base 4) in base 14?
4571c
What is 2220212111 (base 4) in base 8?
2504625
What is 165b6 (base 15) in base 16?
119eb
What is 101010110001011010100 (base 2) in base 13?
3a0c30
What is 1137467 (base 11) in base 12?
7b9661
Convert 770371 (base 10) to base 9.
1403667
Convert -102203231 (base 5) to base 6.
-13104034
What is -22b61 (base 12) in base 2?
-1011010111111001
What is -13233013113 (base 4) in base 14?
-3ab0c7
What is -de4c4d (base 15) in base 12?
-367056a
210000221220 (base 3) to base 13
1165c5
6a5435 (base 12) to base 15
23b83e
12113001033 (base 4) to base 16
19704f
What is 601224 (base 7) in base 16?
18bb5
Convert 11101011101111 (base 2) to base 5.
440322
155a002 (base 12) to base 9
8161532
What is -1b8a2 (base 16) in base 13?
-3c461
What is 12012110002 (base 3) in base 10?
102386
What is -1402b (base 13) in base 15?
-b126
What is -10512305 (base 7) in base 12?
-37b115
100001010000010110 (base 2) to base 8
412026
What is -3c5e5 (base 16) in base 12?
-bb119
What is 132322203 (base 4) in base 13?
45837
-15b247 (base 12) to base 6
-11545331
-261ba1 (base 12) to base 5
-130004023
What is 10302323 (base 4) in base 15?
5c48
What is -371417 (base 10) in base 2?
-1011010101011011001
3d748 (base 16) to base 6
5221212
What is 61a59 (base 13) in base 2?
101010110011011111
-4c0ec (base 15) to base 10
-243222
What is 1c8193 (base 16) in base 9?
3456584
324361 (base 9) to base 7
1434043
-107c924 (base 13) to base 11
-29426a8
Convert 11445251 (base 6) to base 2.
1011000111000011111
Convert -1531312 (base 6) to base 8.
-257234
Convert 244222331 (base 5) to base 4.
10130030323
-21776537 (base 9) to base 16
-a127b6
-243ad (base 16) to base 3
-21112120012
What is -6a1c23 (base 14) in base 13?
-997ca8
What is -90181 (base 13) in base 15?
-5139d
What is -12322330 (base 5) in base 2?
-11101011000010100
Convert 1000223 (base 9) to base 8.
2016250
-1111332102 (base 4) to base 14
-92494
What is -110010110110111110111011 (base 2) in base 10?
-13332411
Convert -522657 (base 10) to base 16.
-7f9a1
What is 212002 (base 3) in base 13?
38c
What is 58047 (base 9) in base 2?
1001011100011000
-170b51 (base 12) to base 8
-1404555
What is 2315335 (base 6) in base 5?
12303042
Convert -41f59 (base 16) to base 3.
-111201121021
Convert -44970 (base 12) to base 3.
-11122011010
-103379 (base 10) to base 8
-311723
Convert -59a41 (base 13) to base 15.
-33a4b
-1564272 (base 13) to base 5
-3224120414
Convert -44aa1 (base 14) to base 6.
-3323541
Convert -da63 (base 14) to base 12.
-199b3
167176 (base 8) to base 10
61054
Convert 15a3 (base 15) to base 9.
6340
What is -56632224 (base 7) in base 15?
-676706
-2022210101122 (base 3) to base 11
-774644
What is -25122343 (base 7) in base 5?
-1034222204
-507401 (base 9) to base 13
-a6b19
-14401067 (base 8) to base 9
-6144628
What is 230002221 (base 4) in base 14?
49a53
Convert c47f (base 16) to base 3.
2120000002
What is 625234 (base 8) in base 14?
558a8
Convert -506732 (base 9) to base 11.
-195613
Convert 65b4 (base 15) to base 2.
101010000101000
-1616156 (base 7) to base 16
-36740
Convert 2200733 (base 12) to base 4.
120223300113
What is -1011001011101101110010 (base 2) in base 4?
-23023231302
What is 32331432 (base 5) in base 15?
57197
-424343 (base 7) to base 13
-27650
What is -17c00 (base 14) in base 15?
-12b86
2022200323 (base 4) to base 8
2124073
What is -1101010011110011100 (base 2) in base 8?
-1523634
Convert -110051535 (base 6) to base 10.
-1966451
Convert 11001010222110 (base 3) to base 8.
10143774
What is -2030252 (base 8) in base 13?
-15a402
What is -10111111111001011000111 (base 2) in base 14?
-b997dd
What is 11013203244 (base 5) in base 15?
109139e
1110001100110000110 (base 2) to base 15
92ce1
Convert 101010110111011010011 (base 2) to base 13.
3a2453
Convert 2300 (base 8) to base 14.
62c
230244 (base 7) to base 14
10ccb
What is -10d30d0 (base 14) in base 4?
-132222033232
What is -124034430 (base 6) in base 2?
-1001010001100000110010
Convert 440224 (base 7) to base 10.
76948
461407 (base 9) to base 8
1034216
What is -35203141 (base 6) in base 16?
-109f45
What is -12dab6 (base 15) in base 4?
-3131122221
What is -11221113 (base 4) in base 15?
-6cbc
121122232 (base 4) to base 3
12021210221
-2a76a (base 14) to base 10
-105738
What is 324056 (base 13) in base 11?
7364a0
Convert -1956a (base 16) to base 3.
-12021100221
What is 10002101221100 (base 3) in base 4?
12100302333
171088 (base 12) to base 3
202002221212
Convert 1451105 (base 7) to base 13.
6ba44
What is -10120121220 (base 3) in base 2?
-10001001100101000
2001231320 (base 4) to base 11
333209
What is 4451511 (base 6) in base 4?
312311203
Convert -21103210 (base 4) to base 9.
-57251
Convert -127124 (base 8) to base 3.
-2021012220
What is -a4b46 (base 13) in base 11?
-192698
What is 322012200 (base 4) in base 5?
30103414
2131020 (base 6) to base 4
121223310
What is -147184 (base 9) in base 13?
-322a8
Convert -1011011110100100100 (base 2) to base 8.
-1336444
What is 3647171 (base 8) in base 7?
11345401
Convert 10000012022 (base 3) to base 6.
1134012
What is 12330320030 (base 4) in base 14?
356108
10207474 (base 8) to base 4
20100330330
-25496b (base 13) to base 11
-562024
What is -11010201120 (base 3) in base 16?
-13e27
-307421 (base 9) to base 6
-3525201
94204 (base 10) to base 13
33b56
What is 2442020 (base 6) in base 3?
20121101110
What is -5a860a2 (base 11) in base 9?
-21835541
Convert -166b8 (base 13) to base 16.
-a79c
Convert 1003011221 (base 4) to base 10.
274793
3222210310 (base 4) to base 9
1723887
-13674223 (base 8) to base 16
-2f7893
Convert -14105 (base 16) to base 4.
-110010011
Convert b03127 (base 13) to base 11.
2344706
Convert -85392 (base 12) to base 6.
-3430302
-513505 (base 6) to base 5
-2303014
What is 5204131 (base 6) in base 5?
30443001
138244a (base 13) to base 4
113203121210
What is -266075 (base 8) in base 5?
-10440440
What is 1c72e2 (base 15) in base 2?
101010011101000111010
Convert -31131020231 (base 4) to base 13.
-966611
What is 3221104 (base 6) in base 7?
1226500
-144011234 (base 5) to base 10
-766444
-3517053 (base 10) to base 5
-1400021203
238046b (base 12) to base 5
3230310021
Convert 121109b (base 12) to base 2.
1101011000000000110111
What is 2100002011100 (base 3) in base 9?
2302140
-1031131232 (base 4) to base 8
-1153556
Convert -1784b94 (base 12) to base 7.
-56445301
-3a2918 (base 11) to base 5
-130231313
What is 3781c9 (base 14) in base 8?
7210105
What is -418f2 (base 16) in base 3?
-111122100120
-200111100102000 (base 3) to base 4
-211133211003
Convert -11122011222022 (base 3) to base 7.
-26641451
What is 4b6a2 (base 15) in base 2?
111010110111100111
Convert -59956 (base 12) to base 10.
-120594
35056114 (base 7) to base 3
12210010100201
Convert 22000001110 (base 3) to base 13.
568c8
Convert 10304245 (base 6) to base 3.
120110022202
What is 8072c (base 15) in base 6?
12414253
-94400 (base 14) to base 9
-604356
Convert -523211 (base 7) to base 16.
-15f74
What is -36e2ae (base 16) in base 7?
-42400543
Convert -23c85 (base 14) to base 2.
-10101010111101101
Convert -29035 (base 14) to base 5.
-11222300
1101 | {
"pile_set_name": "DM Mathematics"
} |
+ 12/17 = 0. What is h?
-3, -1, 2/7, 1
Factor -2*z**2/3 - 794*z/3 + 796/3.
-2*(z - 1)*(z + 398)/3
Determine g, given that -5*g**5 + 35*g**4 + 40*g**3 = 0.
-1, 0, 8
Factor -4*u**2 - 220*u - 2184.
-4*(u + 13)*(u + 42)
Factor -2*a**2/7 - 16*a/7 - 2.
-2*(a + 1)*(a + 7)/7
Suppose -b**4/4 + b**3 + 3*b**2/4 - 9*b/2 = 0. What is b?
-2, 0, 3
Solve j**2/2 + 765*j/2 = 0 for j.
-765, 0
Factor 2*z**3/7 - 2*z**2/7 - 32*z/7 + 32/7.
2*(z - 4)*(z - 1)*(z + 4)/7
Let -20*b**5 + 235*b**4/3 - 295*b**3/3 + 140*b**2/3 - 20*b/3 = 0. Calculate b.
0, 1/4, 2/3, 1, 2
Determine a so that -3*a**2/5 - 153*a/5 - 432/5 = 0.
-48, -3
What is h in 4*h**5 + 568*h**4 + 29668*h**3 + 667360*h**2 + 5190400*h - 5888000 = 0?
-40, -23, 1
Find k, given that -k**3/3 + 67*k**2/3 - 1216*k/3 + 1024 = 0.
3, 32
Determine r so that 3*r**4 - 309*r**2 + 594*r = 0.
-11, 0, 2, 9
Factor -4*i**4 - 12*i**3 + 4*i**2 + 12*i.
-4*i*(i - 1)*(i + 1)*(i + 3)
Solve x**2/6 + 331*x/6 + 55 = 0.
-330, -1
Let -g**5 - 34*g**4 - 177*g**3 - 252*g**2 = 0. Calculate g.
-28, -3, 0
Factor -5*p**4 + 78*p**3 - 193*p**2 - 900*p - 324.
-(p - 9)**2*(p + 2)*(5*p + 2)
Factor -3*a**4 - 1758*a**3 - 257547*a**2.
-3*a**2*(a + 293)**2
Factor 2*h**2/3 - 508*h/3 + 336.
2*(h - 252)*(h - 2)/3
Factor 7*m**5 - 2*m**4 - 189*m**3 - 324*m**2 + 108*m.
m*(m - 6)*(m + 3)**2*(7*m - 2)
Suppose 3*b**5 - 63*b**4 - 519*b**3 + 819*b**2 + 2028*b - 2268 = 0. What is b?
-7, -2, 1, 2, 27
Factor -2*y**2 + 516*y - 33282.
-2*(y - 129)**2
Factor 3*q**5 + 9*q**4 - 42*q**3 - 36*q**2 + 120*q.
3*q*(q - 2)**2*(q + 2)*(q + 5)
Factor 2*g**3/19 - 24*g**2/19 - 32*g/19 + 384/19.
2*(g - 12)*(g - 4)*(g + 4)/19
Factor 4*m**3 - 4*m**2.
4*m**2*(m - 1)
Factor -3*j**4 - 396*j**3 - 11799*j**2 + 85698*j.
-3*j*(j - 6)*(j + 69)**2
Find l such that -2*l**4/11 - 4*l**3/11 + 16*l**2/11 + 36*l/11 + 18/11 = 0.
-3, -1, 3
Factor 288*w**2 + 12*w - 28.
4*(3*w + 1)*(24*w - 7)
Factor -u**3/4 - 83*u**2 - 27221*u/4 + 27889/2.
-(u - 2)*(u + 167)**2/4
Factor 2*c**3/7 - 26*c**2/7 - 76*c/7 + 240/7.
2*(c - 15)*(c - 2)*(c + 4)/7
What is r in 44*r**2/3 - 224*r/3 + 20/3 = 0?
1/11, 5
Find o such that -15*o**4/4 + 565*o**3/4 + 4015*o**2/4 + 7215*o/4 + 495 = 0.
-3, -1/3, 44
Factor h**2 + 24*h + 128.
(h + 8)*(h + 16)
Determine m, given that m**2/10 - 42*m/5 - 86/5 = 0.
-2, 86
Factor -j**5 + 9*j**3 + 4*j**2 - 12*j.
-j*(j - 3)*(j - 1)*(j + 2)**2
Suppose b**3/6 + 49*b**2/6 = 0. Calculate b.
-49, 0
Determine b, given that 3*b**5 + 54*b**4 + 339*b**3 + 912*b**2 + 1008*b + 384 = 0.
-8, -4, -1
Factor -4*v**4 + 4*v**3 + 208*v**2 + 656*v + 576.
-4*(v - 9)*(v + 2)**2*(v + 4)
Factor -j**5/4 - 5*j**4/2 - 37*j**3/4 - 15*j**2 - 9*j.
-j*(j + 2)**2*(j + 3)**2/4
Factor -3*n**3/4 + 33*n**2 + 3*n/4 - 33.
-3*(n - 44)*(n - 1)*(n + 1)/4
Solve 1420*q**3 - 315*q**2 - 10*q = 0 for q.
-2/71, 0, 1/4
Determine l so that l**5/6 - 21*l**4/2 - 67*l**3/6 + 187*l**2/6 + 53*l + 64/3 = 0.
-1, 2, 64
Factor -3*d**2 - 81*d - 378.
-3*(d + 6)*(d + 21)
Factor -2*r**2/9 + 104*r/9 - 184/3.
-2*(r - 46)*(r - 6)/9
Determine i, given that -2*i**3/9 + 44*i**2/9 + 30*i = 0.
-5, 0, 27
What is g in -3*g**4/4 + 27*g**3/4 + 27*g**2/2 - 51*g - 90 = 0?
-2, 3, 10
Solve -2*i**4/9 + 8*i**3/9 + 10*i**2/9 = 0 for i.
-1, 0, 5
Factor -125*z**2 - 15385*z - 1230.
-5*(z + 123)*(25*z + 2)
Determine y so that -2*y**4/5 + 8*y**3/5 + 4*y**2/5 - 24*y/5 - 18/5 = 0.
-1, 3
Solve 9*l**5 + 1122*l**4 - 1509*l**3 + 378*l**2 = 0 for l.
-126, 0, 1/3, 1
Find k, given that -k**3/2 + 13*k**2/3 + 13*k/2 + 5/3 = 0.
-1, -1/3, 10
Solve v**4 + 6*v**3 + 8*v**2 = 0.
-4, -2, 0
Find c such that -c**4/3 - 120*c**3 - 2486*c**2/3 - 1768*c - 1059 = 0.
-353, -3, -1
Factor -14*o**3/9 + 1292*o**2/9 - 368*o/9.
-2*o*(o - 92)*(7*o - 2)/9
Factor -n**4/4 - 5*n**3/2 + 1367*n**2/4 + 1740*n - 121104.
-(n - 24)**2*(n + 29)**2/4
Find y, given that 12*y**2 - 11*y/3 = 0.
0, 11/36
Find f, given that -3*f**3/5 - 1011*f**2/5 + 2031*f/5 - 1017/5 = 0.
-339, 1
Factor -2*q**2/11 - 4*q - 170/11.
-2*(q + 5)*(q + 17)/11
Find n, given that n**4 + 14*n**3/3 - 11*n**2/3 - 70*n/3 + 8 = 0.
-4, -3, 1/3, 2
Factor 2*n**3/7 + 34*n**2/7 - 208*n/7 + 264/7.
2*(n - 3)*(n - 2)*(n + 22)/7
Factor -4*d**4 + 4*d**3.
-4*d**3*(d - 1)
Determine z, given that -2*z**3/7 - 12*z**2/7 + 38*z/7 + 48/7 = 0.
-8, -1, 3
Factor -g**3 - 1149*g**2 - 440067*g - 56181887.
-(g + 383)**3
Factor 2*n**4 - 4*n**3 - 40*n**2 - 48*n.
2*n*(n - 6)*(n + 2)**2
Factor 4*i**2 - 120*i - 700.
4*(i - 35)*(i + 5)
Factor 5*t**4 + 70*t**3 + 65*t**2.
5*t**2*(t + 1)*(t + 13)
Factor 4*y**3 + 120*y**2 + 1052*y + 2184.
4*(y + 3)*(y + 13)*(y + 14)
Factor d**4/6 + 10*d**3/3 + 37*d**2/6 + 3*d.
d*(d + 1)**2*(d + 18)/6
Let 2*x**2 + 116*x + 1664 = 0. Calculate x.
-32, -26
Let -16*a**5/3 - 12*a**4 + 152*a**3 - 556*a**2/3 - 56*a = 0. What is a?
-7, -1/4, 0, 2, 3
What is u in 2*u**4/15 + 26*u**3/15 + 92*u**2/15 + 32*u/5 = 0?
-8, -3, -2, 0
Let -4*p**4 + 128*p**3 + 588*p**2 - 360*p - 2592 = 0. What is p?
-3, 2, 36
Let 65*a**2/6 + 67*a/6 + 1/3 = 0. What is a?
-1, -2/65
Find d, given that -20*d**4/7 + 163*d**3/7 + 356*d**2/7 + 143*d/7 - 30/7 = 0.
-1, 3/20, 10
Factor -6*r**3 + 10*r**2 + 8*r - 8.
-2*(r - 2)*(r + 1)*(3*r - 2)
Factor -4*h**3 + 240*h**2 - 2748*h - 2992.
-4*(h - 44)*(h - 17)*(h + 1)
Let -35*p**4/3 - 605*p**3/3 - 570*p**2 - 1420*p/3 - 280/3 = 0. What is p?
-14, -2, -1, -2/7
What is l in 114*l**3 - 117*l**2 + 3*l = 0?
0, 1/38, 1
Factor 2*d**4/5 - 28*d**3/5 + 64*d**2/5 + 256*d/5.
2*d*(d - 8)**2*(d + 2)/5
Suppose -j**2/4 - 149*j/2 = 0. What is j?
-298, 0
Factor -4*k**3/5 + 2232*k**2/5 - 322224*k/5 + 600608.
-4*(k - 274)**2*(k - 10)/5
Factor -c**4/3 + c**2 - 2*c/3.
-c*(c - 1)**2*(c + 2)/3
Solve -5*t**2 + 43460*t - 94438580 = 0.
4346
Factor 2*x**4 - 38*x**3 - 752*x**2 - 2488*x - 2304.
2*(x - 32)*(x + 2)**2*(x + 9)
Find p such that -p**4/11 + 6*p**3/11 - 3*p**2/11 - 10*p/11 = 0.
-1, 0, 2, 5
Factor 4*k**5 - 84*k**4 + 80*k**3 + 8000*k**2 - 48000*k + 40000.
4*(k - 10)**3*(k - 1)*(k + 10)
Factor -12*t**5 + 14*t**4 + 8*t**3 - 10*t**2.
-2*t**2*(t - 1)**2*(6*t + 5)
Determine q, given that 2*q**3/17 + 264*q**2/17 + 2952*q/17 + 8640/17 = 0.
-120, -6
Find f, given that f**2/6 + 104*f/3 + 136 = 0.
-204, -4
Suppose 2*k**3/9 - 112*k**2/9 + 422*k/9 - 104/3 = 0. What is k?
1, 3, 52
Factor -2*y**3/13 + 524*y**2/13.
-2*y**2*(y - 262)/13
Let 324*g**4 - 2160*g**3 + 4968*g**2 - 4368*g + 980 = 0. What is g?
1/3, 5/3, 7/3
Find k such that -2*k**2 - 6*k + 56 = 0.
-7, 4
Let 7*q**3 + 201*q**2 - 268*q + 60 = 0. Calculate q.
-30, 2/7, 1
Let 3*y**2 - 3261*y - 3264 = 0. What is y?
-1, 1088
Factor -r**3/5 - 6*r**2/5 + 187*r/5 + 156.
-(r - 13)*(r + 4)*(r + 15)/5
Suppose n**4/4 - 115*n**3/2 + 12993*n**2/4 + 6670*n + 3364 = 0. What is n?
-1, 116
Determine x, given that -2*x**4/3 - 74*x**3/3 - 140*x**2/3 = 0.
-35, -2, 0
Suppose g**4/10 + 7*g**3/5 + 36*g**2/5 + 81*g/5 + 27/2 = 0. Calculate g.
-5, -3
Let -2*a**4 - 2*a**3 + 26*a**2 + 2*a - 24 = 0. What is a?
-4, -1, 1, 3
Solve -2*d**4/3 + 10*d**3 - 28*d**2/3 = 0 for d.
0, 1, 14
Determine q, given that 4*q**2 - 744*q - 3820 = 0.
-5, 191
Determine v so that -v**5/2 + 95*v**4/4 - 47*v**3/4 = 0.
0, 1/2, 47
Solve -2*q**2/17 - 62*q/17 + 64/17 = 0 for q.
-32, 1
Factor 2*f**5/3 + 2*f**4/3 - 4*f**3 + 4*f**2/3 + 10*f/3 - 2.
2*(f - 1)**3*(f + 1)*(f + 3)/3
Factor 5*v**3/4 - 45*v**2.
5*v**2*(v - 36)/4
Solve -5*r**3 + 505*r**2 + 5*r - 505 = 0.
-1, 1, 101
Factor -4*f**5/3 - 40*f**4/3 - 148*f**3/3 - 80*f**2 - 48*f.
-4*f*(f + 2)**2*(f + 3)**2/3
Factor x**2/4 - 113*x.
x*(x - 452)/4
Determine x, given that x**2 + 32*x + 256 = 0.
-16
Determine f so that 2*f**3 - 22*f**2 + 38*f - 18 = 0.
1, 9
Factor 17*j**2/6 - 50*j/3 - 2.
(j - 6)*(17*j + 2)/6
Find g, given that g**2 + 12*g + 11 = 0.
-11, -1
Solve 2*y**2/17 + 652*y/17 + 53138/17 = 0.
-163
Suppose -3*v**5 + 216*v**4 + 1686*v**3 - 2112*v**2 - 1683*v + 1896 = 0. Calculate v.
-8, -1, 1, 79
Let p**4/3 - 5*p**3/3 - 10*p**2 + 40*p/3 + 64/3 = 0. Calculate p.
-4, -1, 2, 8
Find b such that -567*b**4/5 - 1059*b**3/5 + 229*b**2/5 + 31*b - 6/5 = 0.
-2, -1/3, 1/27, 3/7
Factor -3*n**2/2 - 75*n/2.
-3*n*(n + 25)/2
Factor -2*a**2/7 + 6*a/7 - 4/7.
-2*(a - 2)*(a - 1)/7
Factor 2*u**2/7 - 16*u + 318/7.
2*(u - 53)*(u - 3)/7
Suppose -c**2 - 2032*c - 1032256 = 0. What is c?
-1016
Factor 225*j**3/4 + 145*j**2/4 - 21*j - 1.
(j + 1)*(5*j - 2)*(45*j + 2)/4
Factor 5*r** | {
"pile_set_name": "DM Mathematics"
} |
*n(b). What is the third derivative of z(q) wrt q?
696*q
Let n(z) = z**3 + 4*z**2 - 8*z + 2. Let u be n(-5). What is the first derivative of 425 - r - 448 + r - u*r**3 wrt r?
-51*r**2
Let a(g) be the third derivative of g**9/252 - g**8/48 - g**5/30 - g**3/3 + 74*g**2. What is the third derivative of a(h) wrt h?
240*h**3 - 420*h**2
Suppose -2*h - 8 = -2*n, 2*n + 2*h - 20 = h. Let z be n/(-28) - (-44)/7. What is the third derivative of -u**4 + 6*u**2 - 11*u**z + u**4 + 5*u**6 wrt u?
-720*u**3
Let z(l) = -8 + 9 - 2*l + 3*l + l**2. Let s(n) = -17*n**3 + 3*n**2 + 6*n + 6. Let y(d) = -s(d) + 6*z(d). What is the third derivative of y(r) wrt r?
102
Let h = -92 - -94. What is the first derivative of 54*y**2 - 29*y**2 + 23 + 4 - 36*y**h wrt y?
-22*y
Let v(p) = -205*p**3 - 636*p**2 + 4*p - 4. Let y(k) = k**3 + 2*k**2 + k - 1. Let j(l) = v(l) - 4*y(l). Find the third derivative of j(r) wrt r.
-1254
Let d = -35 - -21. Let k = d + 16. What is the third derivative of 2*v + 0*v - k*v + 11*v**2 + 12*v**4 wrt v?
288*v
Let d be (18/27)/((-4)/(-3)). Let i(m) be the first derivative of -3 - 5*m + d*m**2. Differentiate i(a) wrt a.
1
Let h(y) be the second derivative of -191*y**7/42 - 53*y**4/12 - 26*y. Find the third derivative of h(u) wrt u.
-11460*u**2
Find the second derivative of -871*d**5 + 898*d**5 + 34 - 2*d**2 - 2*d + 2*d**2 wrt d.
540*d**3
Suppose 0 = -4*d + 4*a + 5 + 23, 5*a + 26 = 2*d. Find the third derivative of -12*o**d + 9*o**2 + o**2 - 25*o**2 wrt o.
-72
Let y(b) be the second derivative of 0*b**5 + 0*b**6 + 0*b**2 + 27*b + 0*b**4 - 17/21*b**7 - 16/3*b**3 + 0. What is the second derivative of y(m) wrt m?
-680*m**3
Let m(o) be the third derivative of -7*o**6/120 + o**4/4 - 7*o**3/3 - o**2 + 235. What is the first derivative of m(f) wrt f?
-21*f**2 + 6
Let l(f) = -206*f**2 - 100*f - 12. Let w(i) = 2*i**2 - i - 2. Let y(s) = l(s) - 6*w(s). Find the second derivative of y(n) wrt n.
-436
Let r(d) = -4*d + 7*d - d - 3*d**2. Let k(p) = -6*p**2 + 4*p. Let c(a) = -6*k(a) + 10*r(a). Find the second derivative of c(t) wrt t.
12
Let n(k) = 118*k**3 + 3*k**2 - 3*k. Let d(s) = -2*s**3 - s**2 + s. Let g(l) = 2*d(l) + n(l). Find the third derivative of g(q) wrt q.
684
Let w(r) = 174*r**2 - 19*r - 49. Let k(l) = -116*l**2 + 13*l + 33. Let b(s) = 7*k(s) + 5*w(s). Find the second derivative of b(o) wrt o.
116
Let f be -2*(1/(-2) + -1). Find the second derivative of -2*o**3 + 9*o**f - o - 2*o + 0*o wrt o.
42*o
Find the first derivative of 361*k + 20 - 367*k - 53 wrt k.
-6
Differentiate -30*z - 25*z + 43*z + 27 with respect to z.
-12
Let t(x) = 182*x**3 - 9*x**2 - 6*x - 815. Let r(d) = 92*d**3 - 5*d**2 - 3*d - 407. Let f(n) = -9*r(n) + 5*t(n). Differentiate f(i) with respect to i.
246*i**2 - 3
Let w(s) be the third derivative of -5*s**8/42 + s**5/60 - 23*s**4/8 + 10*s**2 - s. Find the second derivative of w(t) wrt t.
-800*t**3 + 2
Let g(m) be the first derivative of -m**3/3 - 3*m**2/2 + 7*m - 7. Let n be g(-3). Differentiate 11 + n*z**3 + 1 - 5 wrt z.
21*z**2
Let q(x) = 54*x**4 + 20*x**2 + 11. Let k(b) = -4*b**2 - 11*b**4 - 29 + 10 + 17. Let y(l) = -11*k(l) - 2*q(l). What is the third derivative of y(z) wrt z?
312*z
Let j(o) = -2*o. Let m = 2 + -3. Let k(a) = -46 - 36 + 81. Let x(l) = m*j(l) - 2*k(l). Differentiate x(w) with respect to w.
2
Let f(t) be the second derivative of -t**7/42 + 8*t**3/3 - 13*t**2/2 - 17*t. Let m(k) be the first derivative of f(k). Differentiate m(v) wrt v.
-20*v**3
Let i = 10 - 18. Let r = i + 15. Find the second derivative of t**2 - r*t**2 + 10*t**2 - 4*t wrt t.
8
Let b(y) be the third derivative of 0*y + 0*y**6 + 0*y**3 - 2*y**2 + 0 - 5/24*y**4 + 0*y**5 - 2/35*y**7. Find the second derivative of b(t) wrt t.
-144*t**2
Let c(l) be the first derivative of l**5/30 - 7*l**4/24 - 4*l**3 - 6. Let y(p) be the third derivative of c(p). What is the derivative of y(f) wrt f?
4
Let q(o) be the first derivative of 55*o**4/12 + o**3/3 - 24*o**2 + o - 39. Let v(i) be the first derivative of q(i). Find the second derivative of v(p) wrt p.
110
Find the third derivative of -9732*u + 148*u**4 - 134*u**2 + 9732*u wrt u.
3552*u
Differentiate -200 - 114*l - 201 + 413 wrt l.
-114
Let t = 88 + -76. Find the first derivative of 12*u + 21*u**2 + 9 - t*u wrt u.
42*u
Let r be -3 - (-2 + -3) - -2. Find the second derivative of 15*q - 11*q**4 + 0*q**4 + 5*q**4 - 7*q**r wrt q.
-156*q**2
Let d(h) be the second derivative of 5*h**6/3 - 17*h**3/2 + h**2 - 3*h + 1. Find the second derivative of d(v) wrt v.
600*v**2
Let a = -4 + 16. Let l = 15 - a. Find the first derivative of -l*f + 1 + f + f - 3*f wrt f.
-4
Let m(k) be the first derivative of -5 + 0*k**4 + 0*k**5 - 10/3*k**3 + 0*k**6 + 0*k - 11/7*k**7 + 0*k**2. What is the third derivative of m(a) wrt a?
-1320*a**3
Let w(c) = 28*c**4 + 16*c**3 + 5*c + 280. Let i(v) = -28*v**4 - 18*v**3 - 6*v - 279. Let m(j) = -5*i(j) - 6*w(j). What is the derivative of m(h) wrt h?
-112*h**3 - 18*h**2
What is the first derivative of -31*a - 3 - 99*a + 33 + 31 wrt a?
-130
Find the second derivative of 198*p - 208*p**5 - 63*p + 276*p**5 wrt p.
1360*p**3
Let y(r) = r**2 - 1. Let f(i) = 6*i**2 - 2*i + 10*i**2 + 10*i - 6 + 0*i. Let u(g) = f(g) - 6*y(g). Find the second derivative of u(h) wrt h.
20
Let x(d) be the first derivative of d**5/5 + 75*d**4/2 + 218*d**3/3 - 235. What is the third derivative of x(j) wrt j?
24*j + 900
Let s(x) be the second derivative of 211*x**5/10 + 3*x**2/2 + 182*x - 1. Differentiate s(c) with respect to c.
1266*c**2
Let a(p) = 72*p**3 - 2*p**2 - 79*p - 2. Let l(i) = 73*i**3 - i**2 - 77*i - 2. Let r(o) = 3*a(o) - 4*l(o). Find the second derivative of r(m) wrt m.
-456*m - 4
Let n(k) = -48*k + 110. Let g(o) = -25*o + 55. Suppose 77 = 5*c + 57. Let m(q) = c*n(q) - 7*g(q). Differentiate m(a) with respect to a.
-17
Let a(v) = -v - 13. Let o be a(-15). What is the third derivative of 5*l**4 + 23*l**4 + o*l**2 - l**2 wrt l?
672*l
Suppose -19*q + 12*q + 168 = 0. Differentiate 10*c - q*c + 8*c - 12 with respect to c.
-6
Let p(t) = t**3 - t. Let s be p(1). Let r = 9 - 5. Find the first derivative of -1 + s*a**r - a**4 + 3*a**4 wrt a.
8*a**3
Let w = -81 + 123. Suppose -6 = 6*s - w. Find the second derivative of s*c**5 + 6*c - 9*c**5 - 4*c**5 wrt c.
-140*c**3
Suppose -2*t = -t. Let n = 1 - t. What is the derivative of 5 - 2 - n - 2*k wrt k?
-2
Let u(r) be the third derivative of 8*r**7/35 + 23*r**4 - 2*r**2 + 303. What is the second derivative of u(x) wrt x?
576*x**2
Let j(u) = -8*u**5 - 2*u**3 + 6*u**2. Let g(m) = -24*m**5 - 7*m**3 + 18*m**2. Let z(h) = -4*g(h) + 14*j(h). What is the third derivative of z(t) wrt t?
-960*t**2
What is the derivative of 4 + 21*h - 4*h**2 + 25*h + 38 + 6*h**2 + 22 wrt h?
4*h + 46
Let v(y) be the first derivative of y**5/5 - 29*y**3/6 + 2*y**2 - 19. Let o(g) be the second derivative of v(g). Find the first derivative of o(t) wrt t.
24*t
Let f(k) be the first derivative of k**8/48 - k**4/12 + 10*k**2 - 16. Let v(l) be the second derivative of f(l). What is the second derivative of v(o) wrt o?
140*o**3
Let s(n) = -10*n**2 - 4*n. Let r = -29 - -30. Let k(v) = v**2 + v. Let g(w) = r*s(w) + k(w). Find the second derivative of g(z) wrt z.
-18
Let n(c) = 116*c**2 - 20. Let t(m) = -115*m**2 + m + 24. Let q(g) = 7*n(g) + 6*t(g). What is the second derivative of q(p) wrt p?
244
Let c(a) = 5*a**2 + 3*a + 12. Let n(b) = 10*b**2 + 5*b + 23. Let h be 9 + -11 - (0 - 7). Let t(r) = h*c(r) - 3*n(r). What is the first derivative of t(w) wrt w?
-10*w
Let b(l) be the first derivative of -201*l**4/4 - 239*l**3/3 + 475. Find the third derivative of b(n) wrt n.
-1206
Suppose -2*z = -1 - 7. Suppose -3*l = -5*h - 6*l + 75, 0 = h - 4*l - 15. What is the second derivative of 3*x**4 - h*x**z - 3*x**4 - 10*x + 4*x wrt x?
-180*x**2
Let s(f) = -f - 6. Let i be s(-8). What is the third derivative of 30*h - 23*h**4 + 7*h**4 - 30*h + 17*h**i wrt h?
-384*h
What is the second derivative of -2*k**3 + 10*k - 6 - 48*k**2 - 9*k - 41*k**2 - 6*k - 34*k**2 wrt k?
-12*k - 246
What is the second derivative of 50*p**2 - 9*p**2 + 48*p**2 + 4*p**2 + 71*p wrt p?
186
Find the third derivative of 57*y**3 + 119*y**3 + 80*y**3 + 6667*y**2 + 83*y**3 - 6992*y**2 wrt y.
2034
Let j = -3 + 16. Let p = 9 + j. What is the second derivative of 24*w**2 - p*w* | {
"pile_set_name": "DM Mathematics"
} |
**3
Expand (9*b - b + 3*b)*(3 - 2 - 3)*(-6 - 1 + 1).
132*b
Expand (-y - 2*y + 2*y)*(-17*y + 41 - 40 - 2*y).
19*y**2 - y
Expand (-29 + 62 + 41 + 1)*(2 - 2*j**3 - 2).
-150*j**3
Expand -4*c + 4*c + 3*c**2 + (0*c**2 + c**2 + 0*c**2)*(8 - 1 - 1) + 5*c**2 + 0*c**2 - 3*c**2.
11*c**2
Expand -4*l + 18*l + 10*l - 3 + 3 + 3*l + (1 - 1 - 1)*(0 + 0 - l) + 2*l + 1 - 1 - 6*l + 4*l + 3*l + l + l - l.
32*l
Expand (-3*z + 4*z + z)*(z**2 - 3*z**2 + 3*z**2) + 2 - 10*z**3 - 17*z**3 + 20*z**3.
-5*z**3 + 2
Expand (l - l + 3*l**3 + l**2 - l**2 - 2*l**3 + (3*l + l - 2*l)*(-4*l**2 + 0*l**2 + 2*l**2) - 2*l**3 + 3*l**3 + 0*l**3)*(32*l + 6*l - 18*l).
-40*l**4
Expand -7*r**2 - 9*r + 1 + 22*r - 14*r + (-r**2 + r**2 + 3*r**2)*(-3 + 6 - 2).
-4*r**2 - r + 1
Expand (0*u + 25*u + 10*u)*(-2*u**3 + 2*u**3 - 2*u**3).
-70*u**4
Expand (4 - 4 + g)*(-3 - 2 + 4)*(-g**3 - 3 + 3).
g**4
Expand (-1 - 1 + 0)*(-4*a + 5*a - 2*a) - 28*a - 8*a - 37*a.
-71*a
Expand (3*v**2 - 5*v**2 - 2*v**2)*(-6 + 3 + 4) + v**2 + 4*v**2 + v**2.
2*v**2
Expand (-6 - 3*j + 6)*(3*j**2 + 2*j**2 - 4*j**2)*(-2*j + 0*j + 0*j)*(1 + 3 - 2).
12*j**4
Expand (n**2 + 3*n**2 + 4*n**2)*(-n**3 + 6*n**3 + 0*n**3 + 2*n**3 + 2*n**3 - 5*n**3 + (-n**2 - 3*n**2 + 3*n**2)*(-n + 4*n - n)).
16*n**5
Expand (1 - i - 1)*(5 - 5 - 5) + (2*i - i - 3*i)*(-2 + 6 - 2) + i - 9 + 9.
2*i
Expand -10 + j**4 - 8 + 44 + (2 + j**3 - 2)*(j + j + 0*j) + 2*j**4 + 2*j**3 - 2*j**3.
5*j**4 + 26
Expand (-u**3 + 3*u**3 + 0*u**3)*(0 + 0 + 2*u) + 0*u**4 - 5*u**4 - 4*u**4 + 2*u - 2*u**4 - 2*u.
-7*u**4
Expand (3 + 1 + 0)*(2*w**4 - w**4 + 2*w**4).
12*w**4
Expand 2*c**5 + 3*c**5 - 4*c**5 + (c - 2*c - c)*(-2*c**3 + 3*c**4 + 2*c**3) + c**5 + 4*c**5 - 4*c**5 + 0*c**5 + 3*c**5 - 2*c**5.
-3*c**5
Expand (2*w**3 + 0*w**3 - 4*w**3)*(1 - 4 + 2)*(-2 + 0 + 3)*(1 - 3 - 1)*(5 - 7 + 12).
-60*w**3
Expand (-2 + 1 + 3)*(3*m**3 + 3*m**3 - 5*m**3) + (m - 2*m - 3*m)*(-2*m**2 - m**2 + 0*m**2) - 2*m**3 - m**3 + 4*m**3 + 1 + m**3 - 1.
16*m**3
Expand (8 - 10 - t - 3*t)*(4*t**2 - 5*t + 4*t - 16*t**2).
48*t**3 + 28*t**2 + 2*t
Expand 235 + 19*s**4 - 235 - 5*s + s**4 + 5*s + (0 - 3 + 1)*(2*s + s**4 - 2*s).
18*s**4
Expand (14 + 2 - 50)*(3*w**2 - 3*w**2 + w**4).
-34*w**4
Expand (-2*o**2 - 2 + 2)*(-9*o + 6*o + 5*o**3 - 3*o**3).
-4*o**5 + 6*o**3
Expand (2*u**3 - 3*u**3 + 3*u**3)*(4 - 4 - 1) + (-2*u**2 - 6*u**2 + 2*u**2)*(-2*u - 3*u + 6*u).
-8*u**3
Expand (0 - a**2 + 0)*(-3 + 3 - a**2) + 5*a**2 - 5*a**2 + a**4 + 48 + 30*a**4 - 48.
32*a**4
Expand (-3 + 2*w + 4 - 6*w)*(0 + 0 - 2*w).
8*w**2 - 2*w
Expand (n**2 - 3*n + 3*n)*(-2 + 8*n + 2).
8*n**3
Expand (0 + 0 - 1)*(2*y**4 - 2*y**4 - 7*y**4) - 5*y + 5*y + y**4 - 4*y**4 + 5*y**4 + 0*y**4 + (7 - 3 - 2)*(-2*y + 2*y - 2*y**4).
5*y**4
Expand (-2*x - 2 + 2)*(4 + 6 + 5).
-30*x
Expand (-3*j + 2*j + 6*j + (-2*j + 3*j + j)*(-4 - 3 + 6))*(-5*j**3 + 0*j**3 + 3*j**3).
-6*j**4
Expand (3*s + 3*s - 4*s)*(-4 + 2 + 3) + 563 - 43*s - 563.
-41*s
Expand (-w**4 + 6*w**4 - 4*w**4)*(-3 + 2*w + 3) - w**5 + 2*w**5 + w**5 + 0*w**5 - w**5 + 3*w**5 + 5*w**3 - 5*w**3 + 3*w**5 - 2*w**5 + w**5 + 0*w**5.
8*w**5
Expand (3*u - 5*u - 3*u)*(2*u**2 - 9 + 4*u + 9).
-10*u**3 - 20*u**2
Expand (3 - 13 + 2)*(2 - 4 + 1)*(0 - 2*p**2 + 0).
-16*p**2
Expand (-f + 4 + 3 - 8)*(5*f**2 - 4*f**2 - 3*f**2).
2*f**3 + 2*f**2
Expand ((t - 2*t + 0*t)*(-2 + 1 + 2) + (-1 + 3 - 3)*(t - 3*t + 0*t) + 4*t - 2*t + 2*t)*(-3*t + t - t).
-15*t**2
Expand (-3*j**2 + 474*j - 4 - 474*j)*(-1 + 1 - 1).
3*j**2 + 4
Expand -2*l - 3*l + 4*l + (3 - 5 + 8)*(-2*l - 2*l + 3*l - 3).
-7*l - 18
Expand (1 - 1 + 4*x)*(-1 + 1 - 10).
-40*x
Expand (-5*k**2 + 11*k - 11*k - 2)*(-2*k + 3 - 3).
10*k**3 + 4*k
Expand 5*w - 5*w + 3*w**2 + (3*w**2 - 3*w**2 + 2*w**2)*(-2 - 5 + 5) + 0*w - 2*w**2 + 0*w + 2*w**2 + 3*w**2 - 3*w**2.
-w**2
Expand (j**2 + 2*j**3 - j**2)*(-2*j + 2*j + 2*j**2)*(-1 - 15 + 0).
-64*j**5
Expand (h + 6*h - 5*h)*(5 + 4 - 4 + (-4 + 0 + 3)*(-3 + 0 + 1)).
14*h
Expand 19*k**3 - 3*k**4 - 19*k**3 + (-k**3 + 5*k**3 - 3*k**3)*(2 - 2 + 2*k).
-k**4
Expand (-3 + 2 + 6)*(-2 + 3 + 1)*(-2*j + 2*j + j).
10*j
Expand (b**2 - 3*b**2 + 4*b**2)*(b + 1 - 1) - 28*b**2 + 28*b**2 - 28*b**3.
-26*b**3
Expand 34 - 8*l**3 - 34 + (-2 - 2 + 3)*(2*l**3 - 4*l**3 + 0*l**3).
-6*l**3
Expand ((w - 4*w + w)*(-4*w + 5*w - 2*w) + 2*w**2 - 2*w + 2*w)*(0*w**2 + 2*w**2 - w**2).
4*w**4
Expand ((-3*l + 6*l - 4*l)*(0 - 2 + 3) - 3 - 2*l + 3)*(0 + 2 + 1).
-9*l
Expand (-t**2 + 3 - 3)*((3*t**2 - t**2 - 4*t**2)*(0*t + 4*t - 3*t) - 3*t**3 - t**2 + t**2).
5*t**5
Expand (n**2 - 3*n**2 + n**2)*((-2*n + n - 2*n)*(-3*n**2 - n**2 + n**2) + 3*n**3 - 3*n**3 - n**3).
-8*n**5
Expand ((-2 + 2 - 2*g)*(-2 - 1 + 5) - 2*g + g - g - g + 4*g - g)*(-2*g + 4*g - g).
-4*g**2
Expand (0*k**4 - k**4 - k**4 + (k - 5*k + 2*k)*(-2*k**3 - 4*k**2 + 4*k**2))*(6 - 1 - 3).
4*k**4
Expand (3*r**3 - 2*r**3 + r**3)*(-r**2 - 2*r**2 + 9*r**2) + (2*r**3 + r**3 - 2*r**3)*(0*r**2 + 0*r**2 + r**2).
13*r**5
Expand (-2 - 3 + 4)*(2*k - k**2 - 2*k) - 2*k**2 - 1 + 1 - k**2 - 2 + 2 - 1 + 1 - 2*k**2 - 4 + k**2 + 4 + (-k + 5*k - 2*k)*(-5*k + 0*k + 4*k) - 1 - 2*k**2 + 1.
-7*k**2
Expand (4 + 5*t**2 - 4)*(t**3 - 3*t**3 + 0*t**3) - 6*t**5 + 2*t**5 + 3*t**5 - 2*t**5 + t**4 - t**4.
-13*t**5
Expand -c**4 - 2*c**4 - c**2 + c**4 - 2*c**4 + 4*c**4 - 4*c**4 + (-3*c + 3*c + c**2)*(c**2 + c - c) - c**4 - 3*c**4 - 2*c**4.
-9*c**4 - c**2
Expand (3 - 1 + 1)*(5 - 5 + 4*j)*(3*j**2 - j**2 + 0*j**2).
24*j**3
Expand -3*m**2 + m**2 + 3*m**2 + ((0 - m + 0)*(-3 + 5 + 0) + m + 3 - 3)*(1 - m - 1).
2*m**2
Expand (-1 + 1 + 2*x)*(3 - 3 + x)*(0 + x + 0).
2*x**3
Expand (-1 + 2 + 1)*((3*i + 0*i + 3*i)*(3 - 1 - 3) - i + 0*i + 0*i) + 0*i - 3*i + 0*i.
-17*i
Expand 4*n - 4*n + 5*n**3 + (-3 - 2*n + 3)*(n**2 - 2 + 2).
3*n**3
Expand (-2*g + 6*g + 2*g + (2 - 1 - 5)*(3*g - 4*g - 2*g) - 2 + 2*g + 2)*(-4 + 4 + 2*g).
40*g**2
Expand -14*y**2 + 14*y**2 + 20*y**3 + (y**3 - 2*y**3 - y**3)*(-1 - 4 + 3) + y**2 - y**2 + 2*y**3 + (0*y + y + 0*y)*(y**2 + 1 - 1).
27*y**3
Expand -6*j + 2*j + 2*j - 2*j + 4*j + 0*j + (0 + 1 - 2)*(j - 1 + 1).
-j
Expand (-3*m + m + m)*(0 + 0 + 2)*(-5*m + 7*m - 9*m) - m + m + m**2.
15*m**2
Expand (6 + 7 + 1 + (-1 + 1 - 2)*(-3 + 4 - 3))*(-2*r**4 - 4*r**4 + 5*r**4).
-18*r**4
Expand -2*p - 5*p**2 + 2*p - 3*p + 3*p - 2*p**2 + (3 - 3 + p)*(2 - 2 + p) + 5*p**2 - 4*p**2 + p**2.
-4*p**2
Expand (2*q - 4*q + q)*(-55*q**2 + 55*q**2 - 5*q**3).
5*q**4
Expand (-3 + 3 - 19*f + (3*f - f - 4*f)*(-1 + 0 + 0))*(1 - 1 - 1).
17*f
Expand 2*n**2 - 4*n**2 + 0*n**2 + 0*n**2 + 0*n**2 + 2*n**2 + (2*n - 2*n - 7*n)*(2*n - 2*n + 2*n).
-14*n**2
Expand (-2*h + 2*h - 2*h)*(0 - 1 + 0) + 8*h - 8*h + 8*h + (2 + 1 - 5)*(1 + 2*h - 1).
6*h
Expand (6*z - 3*z - z)*(-z - 6 + 1 + 4).
-2*z**2 - 2*z
Expand (3*m**3 - m**3 - 4*m**3)*(23*m**2 + 12*m**2 + 15*m**2).
-100*m**5
Expand -3*r**3 - r**3 + 6*r**3 + 4 + 6*r**3 + r**3 - 5*r**3 + (-1 - 2*r + 1)*(2*r**2 + 1 - 1) + 2*r**3 - 2*r**3 - r**3 + 0 + 0 + 2*r**3.
r**3 + 4
Expand (-3*y**2 + 0*y**2 + 5*y**2)*(-y**2 + y**3 + y**2) + (2*y**2 - 4*y**2 + 4*y**2)*(-y + y - 6*y**3) - 5*y**5 + y**5 + 2*y**5.
-12*y**5
Expand -3 + 3 + 2*f + 4 - 13*f + 15*f - 3 + (-1 + 0 + 2)*(-3*f + f + 3*f) - 3*f + 0*f + f.
3*f + 1
Expand (2 - 2 - 1)*(-1 - 2*f**4 + 1) - f**4 - 3*f**4 + 5*f**4.
3*f**4
Expand -5*i**2 + 2*i**2 + 5*i**2 + i**2 - 3*i**2 + i**2 + (0*i + 3*i - i)*(5*i - 3*i - 4*i).
-3*i**2
Expand (7*i - 3*i - 2*i)*(4*i**2 - i**2 + 0*i**2) + 9*i - 8*i**3 - 9*i + 1 + 4*i**3 - 4*i**3 + i**3.
-i**3 + 1
Expand ((-4 + 4 + j)*(3*j + 0*j - 2*j) + 0*j**2 + 4*j**2 - 2*j**2)*(6*j - 10*j - 11*j).
-45*j**3
Expand (-2 + 4 - 1)*(1 + 0 - 4)*(12*y + 20*y**2 - 12*y).
-60*y**2
Expand (s - 6*s + 2*s + (-3 - 1 + 2)*(0*s + 0*s + s))*(-4 + 4*s + 4).
-20*s**2
Expand (0 + 0 + 2)*(3*c**2 - c - c + c).
6*c**2 - 2*c
Expand -18*x + 18*x - x**4 + (-3*x + 4*x + x)*(-2*x**2 - x**3 + 2*x**2) + 1 - 1 - x**4 - 4*x**4 + x**4 + 2*x**4.
-5*x**4
Expand 2*f**4 - 2*f**4 - f**4 + (0*f + 0*f + f**2)*(-5*f**2 + 0*f**2 + 3*f**2) - 3*f**4 + 3*f**3 - 3*f**3.
-6*f**4
Expand 3*k**2 - 4*k**2 + 2*k**2 + k**2 + 2*k - 2*k + k**2 + 2*k**2 - k**2 + (0*k - 4*k + 2*k)*(k + 2*k - 4*k) - 3 + k**2 + 3.
7*k**2
Expand (1 - 1 - 4 + (-3 + 1 + 4)*(2 - 1 - 3))*(-3*a + 4*a + 2*a) - 2*a - 2*a + 3*a.
-25*a
Expand (-5 + 4 + 0)*(-1 + 0 + 3)*(51*s + 42 - 42).
-102*s
Expand (-2 + 0 + 0)*(-13 + 37 + 15)*(2*z**2 + 3*z**2 - 3*z**2).
-156*z**2
Exp | {
"pile_set_name": "DM Mathematics"
} |
n factor of 31 and 8728?
1
What is the greatest common factor of 888 and 150183?
111
Calculate the highest common divisor of 23244 and 429.
39
Calculate the greatest common divisor of 159200 and 176.
16
What is the highest common divisor of 1215 and 19683?
243
What is the highest common divisor of 20 and 233300?
20
What is the highest common divisor of 16478 and 856?
214
Calculate the highest common factor of 115713 and 195.
39
Calculate the greatest common divisor of 68635 and 2968.
371
Calculate the greatest common factor of 182 and 148642.
26
What is the highest common factor of 11 and 82357?
11
Calculate the greatest common divisor of 117240 and 160.
40
Calculate the highest common divisor of 3381 and 21252.
483
Calculate the highest common divisor of 5626 and 2088.
58
Calculate the greatest common divisor of 48915 and 155.
5
Calculate the greatest common factor of 1360 and 44560.
80
Calculate the highest common factor of 203 and 221879.
203
Calculate the greatest common factor of 225 and 92450.
25
What is the greatest common factor of 20466 and 972?
54
What is the highest common factor of 38524 and 8?
4
What is the highest common factor of 481 and 473187?
13
Calculate the highest common divisor of 427674 and 208.
26
What is the highest common divisor of 20155 and 580?
145
What is the highest common factor of 1443640 and 510?
170
What is the highest common divisor of 9287 and 7807?
37
Calculate the greatest common divisor of 25 and 3715.
5
What is the highest common divisor of 324 and 1068?
12
Calculate the greatest common factor of 76056 and 40.
8
Calculate the highest common factor of 128 and 1661120.
64
What is the highest common divisor of 36 and 65961?
9
Calculate the highest common factor of 3500 and 4100.
100
What is the highest common factor of 689 and 57611?
53
Calculate the greatest common divisor of 4575 and 4350.
75
Calculate the greatest common factor of 56 and 9098.
2
Calculate the highest common divisor of 2 and 4594.
2
What is the greatest common factor of 671826 and 902?
82
What is the highest common factor of 33 and 131604?
33
Calculate the highest common divisor of 18 and 1584.
18
What is the highest common factor of 19 and 8828597?
19
Calculate the highest common divisor of 33 and 1330.
1
Calculate the greatest common divisor of 86 and 56846.
86
Calculate the highest common divisor of 99561 and 66.
33
Calculate the highest common factor of 149581 and 101.
101
Calculate the highest common factor of 11 and 866833.
11
What is the greatest common factor of 3513800 and 20?
20
Calculate the highest common factor of 343952 and 518.
518
What is the highest common divisor of 800 and 162976?
32
Calculate the highest common factor of 1034 and 11938.
94
What is the greatest common factor of 92376 and 72?
72
Calculate the greatest common divisor of 20 and 2780.
20
Calculate the highest common factor of 151116 and 2352.
588
What is the highest common divisor of 1252111 and 7?
7
What is the highest common factor of 7791238 and 259?
259
What is the highest common factor of 2414515 and 1028?
257
Calculate the greatest common divisor of 9 and 380457.
9
Calculate the highest common factor of 2501 and 107848.
61
What is the highest common divisor of 873 and 574725?
291
Calculate the highest common divisor of 255 and 111605.
85
What is the highest common divisor of 18820 and 60?
20
What is the greatest common factor of 9483 and 87?
87
Calculate the highest common divisor of 240 and 110730.
30
Calculate the highest common divisor of 20659 and 584.
73
What is the highest common factor of 19573 and 184?
23
Calculate the highest common factor of 468 and 15138.
18
What is the highest common divisor of 17094 and 273?
21
What is the greatest common divisor of 9846025 and 70?
35
What is the highest common divisor of 1007 and 1674641?
1007
What is the highest common factor of 85 and 374238?
17
What is the highest common factor of 136 and 171751?
17
Calculate the highest common divisor of 918175 and 475.
475
Calculate the greatest common factor of 60 and 37020.
60
Calculate the greatest common factor of 1920 and 16384.
128
What is the highest common factor of 23033700 and 1347?
1347
What is the highest common divisor of 879303 and 2943?
327
What is the highest common factor of 1649 and 5626?
97
What is the highest common divisor of 17549 and 25277?
161
What is the highest common divisor of 96 and 262308?
12
Calculate the highest common factor of 38 and 274588.
38
Calculate the highest common divisor of 1443830 and 40.
10
Calculate the highest common factor of 420 and 567.
21
What is the greatest common divisor of 59 and 250927?
59
What is the greatest common divisor of 313 and 67608?
313
Calculate the greatest common divisor of 165 and 22704.
33
What is the greatest common factor of 20815 and 5792?
181
What is the highest common divisor of 1026 and 401490?
54
Calculate the greatest common divisor of 12496 and 1507.
11
What is the greatest common factor of 40576 and 317?
317
Calculate the greatest common factor of 6576 and 48.
48
What is the highest common divisor of 509643 and 765?
153
Calculate the greatest common divisor of 250591 and 1881.
209
Calculate the greatest common divisor of 609260 and 1230.
410
Calculate the highest common divisor of 7087 and 854543.
373
Calculate the greatest common factor of 710 and 129575.
355
What is the greatest common factor of 1547656 and 3311?
473
What is the greatest common divisor of 160 and 68740?
20
What is the highest common factor of 50 and 3798825?
25
Calculate the greatest common divisor of 11424 and 14448.
336
What is the highest common divisor of 64 and 637384?
8
Calculate the highest common factor of 12 and 287360.
4
What is the highest common divisor of 152 and 92?
4
Calculate the highest common factor of 1316 and 72004.
188
Calculate the greatest common divisor of 33264 and 880.
176
What is the highest common divisor of 9128 and 3304?
56
What is the greatest common divisor of 13087 and 253?
23
What is the greatest common factor of 11700 and 2020?
20
Calculate the greatest common factor of 390788 and 1359.
151
Calculate the greatest common divisor of 78 and 1461603.
39
Calculate the greatest common divisor of 7620 and 60.
60
What is the greatest common divisor of 880 and 34760?
440
What is the highest common factor of 3135 and 33155?
95
What is the highest common divisor of 1315 and 95?
5
What is the greatest common factor of 327 and 4667489?
109
What is the highest common divisor of 168506 and 52?
26
What is the greatest common factor of 200 and 19848?
8
Calculate the greatest common factor of 2987 and 38135.
29
What is the greatest common factor of 5752 and 455846?
1438
What is the greatest common divisor of 544 and 108256?
544
What is the highest common divisor of 10980 and 7020?
180
What is the highest common factor of 18101 and 713?
23
What is the greatest common factor of 396 and 24772?
44
Calculate the highest common divisor of 20 and 788332.
4
Calculate the highest common factor of 8787 and 2001.
87
What is the highest common divisor of 5952 and 218304?
192
What is the highest common factor of 8282 and 127462?
202
What is the greatest common factor of 10461 and 19337?
317
What is the highest common divisor of 20 and 603630?
10
Calculate the greatest common divisor of 105429 and 3955.
113
What is the highest common factor of 24587 and 115?
23
What is the highest common divisor of 348 and 15022?
58
Calculate the greatest common divisor of 47545 and 42920.
185
What is the highest common factor of 968 and 25531?
121
Calculate the highest common factor of 164916 and 1296.
324
Calculate the greatest common divisor of 1180 and 6680.
20
Calculate the highest common divisor of 2890110 and 30.
30
What is the highest common factor of 724 and 496?
4
What is the highest common divisor of 3600 and 23184?
144
Calculate the highest common factor of 533577 and 4255.
851
Calculate the highest common factor of 228 and 40318.
38
What is the greatest common factor of 5909 and 57?
19
What is the highest common divisor of 3828208 and 32?
16
Calculate the highest common divisor of 3444 and 2478.
42
Calculate the highest common factor of 314 and 502714.
314
Calculate the highest common factor of 100 and 42725.
25 | {
"pile_set_name": "DM Mathematics"
} |
j(t) = -6*u(t) + w(t). Calculate j(-3).
8
Let o(u) = 2*u + 1. Let t be o(-1). Let g be -3 + (5 - (2 - 8)). Let l(h) = 8*h - g*h + 1 + h + 3*h. Determine l(t).
-3
Let j = 3 - 4. Let p(i) be the second derivative of -5*i**4/6 - i**2/2 - 750*i. Determine p(j).
-11
Suppose -3*t = -42 - 1326. Let u(x) = t*x - 1 - 457*x - 7. Let b be -3 - 9/12*4. Calculate u(b).
-2
Let t(b) = b**2 + 9*b + 7. Let r = -81 + 88. Let k(w) = w**2 - 6*w + 14. Let h be k(r). Suppose 11*g = -h - 45. Determine t(g).
-11
Let d(i) = 5*i - 2*i - 23*i + 15*i + 11*i + 141. Calculate d(0).
141
Let q(k) be the third derivative of k**4/24 + 4*k**3/3 + k**2. Let i(t) = 359*t**2 + 2*t + 3. Let m be i(-2). Suppose 2*p + m = 1423. Determine q(p).
2
Suppose 92*z - 6*z - 258 = 0. Let i(f) be the first derivative of 14 - 5/2*f**2 - 8*f + 1/3*f**z. Calculate i(7).
6
Let y(r) = 3*r**2 - 6*r + 29. Let k be y(-4). Let n(m) = 103*m - 15 + k*m - 203*m. Determine n(10).
-5
Let k(d) = d + 0*d - 12 + d. Let a(f) = -f**3 + 23*f**2 - 48*f + 134. Let r be a(21). Let g be k(r). Let u(i) = -i**3 + 5*i**2 - 3*i - 4. Determine u(g).
0
Let a be (234/45)/((-2)/(-30)). Let t(b) = -79 + b - 84 + 3*b**2 - a + 239 - 2*b**2. Determine t(-2).
0
Suppose 2*c = 4*c + 2. Let b be ((1/(-2) - -2) + -1)*2. Let j(k) = -2*k**3 + 1 - k**2 - 5*k**3 + 10*k**3 - b. Calculate j(c).
-4
Suppose 4*d - 17 + 1 = 0. Let i(w) = -30*w + 9. Let u(x) = 83*x - 28. Let g(o) = 11*i(o) + 4*u(o). Give g(d).
-5
Let z(p) = -4*p + 7. Let g be (-6)/(-21) - (2 - 561/21). Let k be (-3 - -1)/8 - g/(-4). Calculate z(k).
-17
Let i(a) be the second derivative of -47*a + 0*a**3 - a**2 - 1/20*a**5 + 0 - 1/3*a**4. Determine i(-3).
-11
Let i(p) = -8*p**3 + 350*p**2 + 449*p + 46. Let j be i(45). Let v(x) = 2*x**3 - x**2 + 2*x**2 - 8*x**3. Give v(j).
-5
Let m be (-75)/(-11) - (485/55 - 9). Let a(v) = v**3 - 8*v**2 + 9*v - 10. Calculate a(m).
4
Let o(s) = -s**2 + 9*s + 10. Let g be o(10). Let x(c) = 6 - 9*c**2 + 4 + 8*c + g*c**2 - 2*c**3 + 3*c**3. Let v = -16 + 24. Determine x(v).
10
Let p be -3*((-2)/6 - (-12)/(-9)). Let l = 0 + p. Let d(i) = 11*i**2 - i**3 - 8*i**2 + 2*i + l + 2*i**2. What is d(5)?
15
Suppose 21 - 181 = -32*q. Let o(p) = p - 6. Let g(y) = -3*y + 19. Let f(c) = 3*g(c) + 8*o(c). Determine f(q).
4
Let h(o) be the second derivative of 0 + 1/6*o**3 - 4*o**2 - 77*o. Determine h(6).
-2
Suppose 0*w = 2*w + 4*c + 10, 9 = -w - 3*c. Let n(a) be the third derivative of a**6/120 - a**5/60 - a**4/8 + 987*a**2. Calculate n(w).
9
Let p(k) = 4 + k + 2 - 75 + 61 + k**3 - 23*k**2. What is p(23)?
15
Suppose 2*g + 863 = 5*m, -4*g + 326 = 3*m - m. Let k(q) = 66 - 11*q - 58 + m*q**2 - 170*q**2. What is k(10)?
-2
Let y = -388 - -388. Suppose m - 4*j + 5 = 4, y = m - 5*j. Let s(r) be the second derivative of r**4/12 + 5*r**3/6 - 3*r**2 - r. What is s(m)?
-6
Suppose -18 = 2*l + 4*i, 4*l - 3*i = 5*l + 11. Let o be (-3)/(27/36 + 10/(-8)). Let j(g) = -1217*g - o*g**2 - 3*g**3 + 2*g**3 + 1213*g - 3. Determine j(l).
-8
Let q(l) = -l**3 - 11*l**2 + l - 11. Let c(w) = -45*w - 36. Let g be c(-3). Suppose -89*v + g = -98*v. Calculate q(v).
-22
Let o(z) = z**3 - 2*z**2 - 4*z + 9. Let n be o(4). Let v = n + -24. Let c(i) = v + 4 - 91*i - i**2 + 1 + 86*i. Calculate c(-6).
0
Let q(w) = -w**3 + w + 3. Let c(z) = -2*z + 2. Let n be c(-2). Suppose 2*p = -n*p. Let o be (35/(-15))/7*p. What is q(o)?
3
Let q(y) be the third derivative of -y**6/120 - 2*y**5/15 + y**4/6 - 5*y**3/3 + 8*y**2 - 3*y. Let l = -583 - -575. What is q(l)?
-42
Let w(n) = 2. Let m(h) = h. Let b(s) = 2*m(s) - w(s). Suppose -1912*l + 4767 = -323*l. What is b(l)?
4
Let a(p) be the second derivative of -p**4/3 - p**3/2 + 2*p**2 - p. Let r(s) = -262*s - 37469. Let h be r(-143). Calculate a(h).
-23
Let i(q) = -2*q + 8. Let y = 4 + -8. Let x = 12235 - 12092. Let d be y/(-22) + (-1027)/x. Determine i(d).
22
Let g(t) be the third derivative of 67 + 1/60*t**5 + 13/24*t**4 - t**2 + 0*t + 1/3*t**3. Determine g(-13).
2
Let i(q) = q**3 + q**2 - 4*q - 1. Let o be 6 - ((0 - 1 - -8) + 12/(-12)). What is i(o)?
-1
Let k = 19 - 17. Let y(x) = x**2 + 3*x + 4. Let i be y(-2). Let q(t) = i - k - 2*t**2 + 1 - t**2 - 4*t. Give q(-3).
-14
Let k(v) be the first derivative of v**4/4 + 5*v**3/3 + 5*v**2/2 - 7*v + 7287. Suppose 0 = 3*m + 6 + 9. Determine k(m).
-32
Let d(k) = 442*k + 8852. Let r be d(-20). Let c(y) = y**2 - 13*y + 17. Let a(x) = -x**2 + 13*x - 17. Let g(j) = 3*a(j) + 2*c(j). What is g(r)?
-5
Suppose 10*h - 5*b = 14*h + 7, h - 3*b = -23. Let k(a) = -a**2 - 3*a + 37. What is k(h)?
-3
Let w(r) be the second derivative of -1/2*r**2 + 14*r - 7/6*r**3 + 1 - 2/3*r**4 - 1/20*r**5. Let h(a) = a**3 + 5*a**2 - 4*a + 5. Let q be h(-6). Give w(q).
-1
Let f(m) = -2*m - 3 + 6 - 9. Suppose -22 = 2*y + 4*b, -3*y + y = -b + 7. Calculate f(y).
4
Suppose 4*w + 14 - 70 = -2*l, -4*w = -l - 50. Let t(m) = 7*m - 88. Determine t(w).
3
Suppose -5*x + 0*o = 2*o - 13, -3*x + 11 = -2*o. Let z = -47 + 55. Let r(v) = 6*v - z*v - 2 + v**x + 0 - 1. Determine r(-2).
-7
Let u(g) = 135*g - 57*g - 32 - 217*g + 137*g. Calculate u(13).
-58
Let s(h) = 0*h**2 + 4*h + 2*h**2 - 2 + 4 - 3*h**2. Suppose 136 = -5*l - 5*x + 461, 2*l + 3*x = 126. Let c = 66 - l. Calculate s(c).
-19
Let m be 5*9/(0 - 9). Let o = -2 + 5. Let d(c) = o*c**2 - 4*c**2 + 6 - 3*c + 0. Calculate d(m).
-4
Let o(z) = 2*z - 15. Let p(v) = -3*v + 24. Let g(y) = -13*o(y) - 8*p(y). Determine g(5).
-7
Suppose 0 = -f + 61 + 202. Let g(j) = -8 - 267*j + 13 + f*j. Give g(5).
-15
Let u(k) be the third derivative of k**6/120 - k**5/30 - k**3/2 - 2*k**2 + 21. Suppose -p = -6*p + 10. Give u(p).
-3
Let p(z) = 2*z**3 + 24*z**2 - 6*z - 15. Let r = 2987 + -2999. What is p(r)?
57
Let c = 3 + -5. Suppose 359 = 13*o - 759. Let t(k) = o*k - 7 - 3*k**2 - 90*k + 5. Determine t(c).
-6
Let p(r) = -2*r**2 + 6*r - 2. Let c be p(4). Let y(a) be the second derivative of a**3/6 + a**2 + 192*a - 7. Give y(c).
-8
Suppose -2*d + d - 3*g + 47 = 0, -5*d + 2*g + 150 = 0. Let a = -55 + d. Let n = a - -31. Let t(v) = -2*v + 11. Determine t(n).
-5
Let s(o) = o - 1. Let v = -232 + 239. Suppose -v*c + 44 = -2*c - y, 5*y = c - 28. What is s(c)?
7
Let y(l) = l**3 + l**2 - 8*l + 3. Suppose 14 = -42*c - 12 + 152. Give y(c).
15
Suppose -2*p = -168*k + 171*k + 44, 5*k = -3*p - 72. Let m(b) = b**2 + 11*b - 41. What is m(k)?
-29
Suppose -v = -6*v + 110. Let b(n) = -6*n**2 - n**3 + v*n + 13 - 20*n - 4. Let d = 23 + -29. Calculate b(d).
-3
Let y be 2*(-15)/(-2)*(-31)/(-93). Suppose -4 = -n - y. Let d(c) be the second derivative of -3*c**5/20 - c**4/12 - c**3/6 - c**2/2 - 2*c. Give d(n).
2
Let b be ((-135)/18 + -3)*(-16)/28. Let i(a) = 2*a**3 - 8*a**2 + a - 11. Determine i(b).
139
Let i(b) = b**2 + 5*b - 4. Let m be 28/378 + 133/27. Determine i(m).
46
Let q(r) be the first derivative of -r**2/2 - r - 1. Suppose -53*w = -52*w - 2*k - 5, 0 = -3*w + 2*k + 11. What is q(w)?
-4
Let b be 4/14*(7 - 0). Let r(h) = h + 2 - b + 6. Suppose 2*l + 1 = -5*s - 5, 0 = -5*l - 15. Give r(s).
6
Let m(q) = -2*q - 6. Let o be m(-4). Suppose -7 - 2 = -s + 2*z, -3*s + 4*z = -21. Let r(u) = 16 + 2*u - 18 - 4*u**2 + 2*u + 2*u**s. Calculate r(o).
6
Let s(k) = 13*k**2 + 11*k + 20*k - 17 - 12*k. Calculate s(1).
15
Let f(n) = 3*n**2 - 3*n + 3. Let p(k) = -k + 4. Let v be p(-3). Let q(z) = 398 - 4*z**2 - 400 + v*z - 3*z. Let u(m) = -5*f(m) - 4*q(m). Give u(0).
-7
Let k(x) be the third derivative of -x**6/120 - 3*x**5/20 + x**4/12 + 3*x**3/2 + 950*x**2 + 5. What is k(-9)?
-9
Suppose -2*p - 4*q - 10 = 0, -5*q - 143 = -123. Let f(b) = 6*b - 14. Calculate f(p).
4
Let a(n) = n + 1. Let o(w) = 5*w - 4. Let l(x) = -3*a(x) - o(x). Let v(q) = -6*q - 1. Let f be v(14). Let y = f - -86. What is l(y)?
-7
Let u(d) be the first derivative of 4*d**3 + d + 470. Determine u(-1).
13
Let s(i) = 3*i**2 - 11 - 5 + 137*i + 118*i + 5 - 245*i. What is s(-5)?
14
Let f = -93 - -126. Suppose -36*l + 39 = -f*l. Let m(n) = 26*n**2 - 10*n - 14*n**2 - l*n**2 - 2 - 9. What is m(-8)?
5
Suppose 68 = -5*u - 5*l - 37, 28 = -2*u + 5*l. Let j(f) = 1. Let c(q) = -2*q - 36. Let v(h) = -c(h) - 5*j(h). Let o be v(u). Let z(k) = -k - 3. Determine z(o).
4
Let q(l) be the second derivative of l**4/12 - 4*l**3/3 + 4*l**2 + l + 37. Calculate q(5).
-7
Suppose 5*p = 16 - 6. Let y(c) = 3 + 7 - p*c - 18. Suppose -2*z - 2*z = | {
"pile_set_name": "DM Mathematics"
} |
. Let w = -1.7 - -2. Which is the nearest to z? (a) -2/23 (b) w (c) 0.1
c
Let b = 47.4 - 50.39. Let d = 2.85 + b. What is the closest to d in 0, 4/5, -4?
0
Let c be -7 + (0 + 6 + -5)*7. Let u be 2 - 2 - 6/(-2). Suppose -6*g + u*g = c. What is the nearest to g in 3, 0.2, 0.5?
0.2
Suppose -16*d - 21*d + 48 = 11*d. Let v = 0 + -6. What is the closest to -4/3 in 5, v, d, -1/5?
-1/5
Let q be -4 - 6 - (-6)/36*0. Let r be (306/(-340))/((-12)/q). What is the closest to 0 in -0.1, r, -5?
-0.1
Let x = -4568 + 4548. Which is the closest to 0? (a) 2 (b) x (c) -1
c
Let g = -3903 - -11710/3. What is the closest to -1.6 in g, 4, -12/5?
-12/5
Let j = 14243.99 - 14244. What is the nearest to 0.1 in j, 4/7, 124, 2?
j
Let s be (2/6)/(3/99). Suppose 0 = 3*d + 4 + s. Let w = -1192.5 + 1192. Which is the nearest to -9/11? (a) d (b) w (c) 0.1
b
Let t = 0.12826 + -0.02826. Which is the nearest to t? (a) 0.4 (b) 0.089 (c) 1
b
Let y be 2/(15/25*10). Let o = 0.278 - 5.278. What is the closest to -0.1 in 7, o, 2, y?
y
Let j(l) = 3*l**2 + 6*l - 7. Suppose x - i - 2 = 0, -13*x - 4*i = -14*x + 5. Let h be j(x). Which is the nearest to 1? (a) 0.1 (b) -0.02 (c) h (d) -0.3
a
Let f = 408/1477 + 2/211. Let j = -6.9 + 2.9. What is the closest to f in 0.05, -1, j?
0.05
Let z be (1/(-2))/(4/(-32)). Let l be -6*(-4 - -2)/8. What is the closest to z in l, 0.3, -4/3?
l
Suppose -b + 28 = -3*x + 7, 0 = 3*x. Let h = 8 - -458. Let c = h - 466.1. What is the closest to -2/7 in b, 4, c?
c
Suppose 13*k = -5*p + 28, -14 = -3*k - 4*p + 1. Which is the closest to 0.05? (a) k (b) -0.2 (c) -5 (d) -137
b
Let g = 1.3498 + -0.3498. What is the closest to g in -1.2, -2/21, -0.1?
-2/21
Let d = -39241 + 234701/6. Let t = -124 - d. Let y be 6/(-10) - (-2)/4. Which is the nearest to -0.1? (a) t (b) y (c) 2/9
b
Let h be -2 - -3 - 4/(-1 + 5). Suppose -21*m + 16*m = -235. Let f = 52 - m. What is the closest to h in -2/5, f, -3/8?
-3/8
Let j = -14999 + 104994/7. Let t = 1 + -6. Which is the closest to j? (a) t (b) 1/2 (c) -2/3
b
Let r = 9235 - 9235.4. Which is the nearest to 2? (a) -1.5 (b) 4 (c) r
b
Let u = -7734 + 7735. What is the nearest to 16/9 in -11, u, 0?
u
Let n = -0.671 + 0.271. Let f = -8 + 8.4. Which is the nearest to 4? (a) 0 (b) f (c) n
b
Suppose 103*s + 2*a + 86 = 100*s, -2*a - 26 = s. What is the nearest to -0.1 in 1/3, s, 0.5?
1/3
Let k = 312.9 + -260.9. Let w = 21 + -68. Let q = w + k. Which is the nearest to -2? (a) q (b) 3 (c) -1/2
c
Let n = -142.28 + -1.72. Let a = n + 141. What is the closest to 4 in -1/4, a, 0.1?
0.1
Let m = 18.64 - 18.54. What is the nearest to -19 in 1/3, -2/179, m?
-2/179
Let y = 1530 - 1531. Which is the nearest to y? (a) 71 (b) 1 (c) 4 (d) -1
d
Let r = -1654 - -1653. Which is the nearest to -0.1? (a) r (b) -4 (c) -42/11 (d) -11
a
Let s = -1535 + 1532. Which is the closest to 36? (a) -0.1 (b) 0.2 (c) s
b
Let b(n) = -72*n**2 - 1367*n + 7. Let c be b(-19). What is the nearest to -0.2 in -4, c, 1/2?
1/2
Let l be 5 - (594/72 + 1/(-2) + -3). Which is the nearest to 12? (a) l (b) -0.2 (c) 1/2
c
Let s(b) = -120*b**2 + 1086*b - 52. Let v be s(9). What is the closest to 0.2 in -767, -0.4, v?
-0.4
Let n be 32 + (-14)/(7 - 9). Let q be 16/(-104) - (-84)/n. Which is the closest to 2? (a) q (b) -0.11 (c) 4
a
Let q be ((1488/(-28))/31)/(-6). Let a = -11 + 12. What is the nearest to 10 in -2, a, 0.02, q?
a
Let q = 0.07024 - 0.08024. Which is the closest to q? (a) 0.4 (b) -1/2 (c) 0
c
Let x = -4.86 - 278.14. Let g = -180 - x. Let t = g - 103. Which is the nearest to t? (a) 0.3 (b) 1 (c) -3/4
a
Suppose 4 = -5*d - s - 21, -2*s = 3*d + 15. Let l(f) = -f - 3. Let y be l(d). Let h be 0*(-1)/(-4)*y. What is the nearest to -1/4 in 5, 1/7, h?
h
Let z = -46.23 + 41.23. Which is the closest to z? (a) -12 (b) -0.1 (c) -0.5 (d) -1/3
c
Suppose -87*m - 13 = -83*m + 3*y, 7*m + 5*y = -21. Which is the nearest to 11? (a) -3 (b) 10 (c) m (d) 0.5
b
Let y = 613 - 612.6. Let w be -1*(3 - (4 + -2)). Let a = 11.9 - 12. What is the closest to w in y, a, 22?
a
Let k = 551/42 - 89/6. Let n = -5213.7 - -5211.7. Which is the closest to 1/4? (a) n (b) k (c) -0.3
c
Let h = 46 - -1. Let k = 46.1 - h. Let w be (-48)/(-132) + (-21)/(-33). Which is the nearest to w? (a) 5 (b) k (c) 0.4
c
Let w = -2522 - -2621. What is the closest to 0 in w, 1, -2/15, 1/8?
1/8
Let f = 37706/11 + -3428. Which is the nearest to 2/7? (a) f (b) -0.06 (c) 1/4 (d) -3
c
Let s be (1 - 0) + 2/(-4). Suppose -p + 4*d - 10 = 0, 34 = 3*p + 5*d + 30. Let i be p/(-3) - (-66)/(-18). What is the nearest to 0 in s, -0.12, i?
-0.12
Let f = 4349/19 - 229. Let y = -14 + 13. Which is the closest to 1? (a) f (b) y (c) -3
a
Let h = -7787/36 - -1958/9. What is the nearest to -1 in h, -1/4, -31?
-1/4
Let o be ((-16)/12 + 0)*(-14 - -5). Let j be 20/(-15)*2/o. What is the closest to j in -1/2, 1, 14?
-1/2
Let i = -355 - -406. Let o be (-4)/(-18) - (51 - i). Suppose -5 = 6*y - y. What is the closest to y in -0.3, 0, o?
-0.3
Let j = 3.6371 + 0.3629. What is the nearest to -0.1 in j, 1, -4/13?
-4/13
Let b be (1 - (2 - 2))/(39/(-26)). Suppose -t + 3*z = -8, -10 = -5*t - 0*z + 5*z. What is the closest to t in b, 2/11, -1?
-1
Let i = 0.0808 + -0.1808. Let y = 0.11 + -0.1. Let g = 0.21 - y. What is the nearest to g in i, 0.3, -1/4?
0.3
Let g(x) = x + 8. Let b be g(-10). Let a = -82 - -80.75. Let i = a + 24.25. What is the nearest to 1 in i, b, -0.4?
-0.4
Let x = 38.36 - 37.86. Which is the closest to 0.1? (a) -2/99 (b) 0.7 (c) x
a
Suppose v + 3*l - 40 = -36, -5*l = 0. Suppose -3*s - v*n + 13 = 0, -13 = -2*s + 2*n - 9. Which is the nearest to -1/4? (a) 6 (b) -0.3 (c) -2 (d) s
b
Let u(s) = 5*s**2 - s + 1. Let v be u(1). Let d = 27.006 + -26.506. Which is the nearest to 9? (a) v (b) d (c) -4
a
Let k = -440 - -435. Let l be 3*(1/(-3))/(k/(-10)). Which is the nearest to l? (a) 2/5 (b) 3/4 (c) 1/2
a
Let i be (-6)/(-130) + (-2)/(-10)*(-86)/86. What is the nearest to 1 in -1/5, 21, i, 7?
i
Let n = 65.64 + -60.64. Let w = -50 - -50.2. Which is the nearest to w? (a) 8 (b) -0.4 (c) n (d) 1
b
Let p = -11935.557 - -11935. Which is the closest to -0.1? (a) -1 (b) 0 (c) p (d) 1/5
b
Let n = 61 + 139. Let j = -201 + n. Which is the closest to j? (a) -59 (b) -5 (c) 0.2
c
Let h = 2 + -2.2. Let x(v) = v - 5. Let z = 1 + 1. Let k be x(z). Which is the nearest to -0.2? (a) k (b) 1/5 (c) h
c
Let u be -1 - (21/(-7) - 1). Suppose 3*h - 9 = 3*l, -u*l - 2*h = 3*h + 9. Let w = 2239/9 + -249. Which is the closest to 0? (a) -0.3 (b) l (c) w
c
Let i = 2240 + -2242. Let t = -0.16 - -0.07. Which is the closest to t? (a) 5 (b) i (c) 0.2
c
Let h = -0.697 + -528.303. Let o = h - -528.5. Suppose n - 4*n - 2*v + 65 = 0, 3*n + 3*v = 66. Which is the closest to 0.1? (a) -2 (b) o (c) n
b
Let c = -4948/645 - -1/215. Let i = c + 71/9. Let r = -1.7832 + 1.8832. What is the closest to i in r, -4, 3?
r
Let w = 90.3 + -90.1. What is the nearest to 0 in w, 16, 4, -0.1?
-0.1
Suppose -151*k + 7*k = 0. What is the closest to k in 90/7, -0.2, -1/4?
-0.2
Suppose 9*h + 2 = 29. Suppose h*u + 17*u + 40 = 0. What is the closest to u in -1, 0.3, 0?
-1
Let g = 198.92 + -199. Let q(i) = -i**2 + 18*i - 45. Let t be q(15). Suppose -16*p = -0 - t. Which is the nearest to 0? (a) g (b) 5 (c) p
c
Let z = -77.8 + 78. Let w be (-44)/(-32) - (-2 - -4 - 1). What is the nearest to z in -5, w, 0.01?
w
Let g = -764 - -746. Let y = -0.084 + 1.084. What is the nearest to y in -3, -1/5, g?
-1/5
Let x = -78.287 + 74.38. Let v = 0.093 - x. Which is the nearest to -1? (a) v (b) -1/3 (c) 0
b
Let h = 6907/44 - 1724/11. What is the nearest to -0.1 in h, 0.4, 190?
h
Let r be (-949)/(-429) + 6/(-11). Which is the closest to 1? (a) -18 (b) -3 (c) r (d) 0.1
c
Let w(i) = -i**3 + 12*i**2 + 10*i + 15. Let j be w(13). Let b be 14/(-21) - 22/j. What is the closest to -1/4 in 0.2, b, 4/7?
0.2
Let r = -292.83 + 267.83. What is the nearest to 4 in 5, -1, r, 4?
4
Suppose 2*p + 3*p - 25 = 0. Suppose r - p = -4*r. Let b = 300 - 299.9. What is the nearest to r in b, -0.3, -1/13?
b
Let m = 0.048 + -14.048. Suppose -3*c + 5 = -7. Suppose -8 = c*n + 8. What is the nearest to m in -0.1, n, -1/2?
n
Let s = 0.3 - 0.1. Let l = -10291 - -1029 | {
"pile_set_name": "DM Mathematics"
} |
3/2 - 1359*j**2 + 1846881*j/2 = 0.
0, 1359
Suppose r**4/3 + 14*r**3/3 - 1927*r**2/3 - 1964*r/3 + 1292 = 0. Calculate r.
-51, -2, 1, 38
Suppose 3*p**4 - 666*p**3 + 16371*p**2 - 14388*p - 31428 = 0. What is p?
-1, 2, 27, 194
Determine x so that 2*x**5 - 468*x**4 + 35032*x**3 - 718308*x**2 - 8778618*x - 21257640 = 0.
-5, -4, 81
Solve -9*l**4/2 + 2051*l**3/4 - 2424*l**2 - 545*l/4 = 0 for l.
-1/18, 0, 5, 109
Suppose 3*u**2/7 - 132*u/7 - 2880/7 = 0. Calculate u.
-16, 60
Solve 2*p**5/17 - 24*p**4/17 + 6*p**3/17 + 592*p**2/17 - 1440*p/17 = 0 for p.
-5, 0, 4, 9
Factor -4*w**2 - 360*w - 6804.
-4*(w + 27)*(w + 63)
What is m in 13*m**2 + 71*m/5 - 402/5 = 0?
-201/65, 2
Suppose 3*f**5 + 357*f**4 - 3012*f**3 + 4572*f**2 = 0. Calculate f.
-127, 0, 2, 6
Solve -2*m**2 - 10*m/3 + 4000/3 = 0.
-80/3, 25
Let 5*o**2 - 460*o - 2940 = 0. Calculate o.
-6, 98
Let -4*t**2/9 + 5360*t/9 - 37324/9 = 0. Calculate t.
7, 1333
Factor 3*j**4 - 7926*j**3 + 282744*j**2 - 3382560*j + 13509504.
3*(j - 2606)*(j - 12)**3
What is n in 3*n**3 - 63*n**2 - 678*n + 2520 = 0?
-10, 3, 28
Factor 3*j**2/5 - 5316*j - 106368/5.
3*(j - 8864)*(j + 4)/5
Find o such that -10*o**5 - 475*o**4 + 2825*o**3 - 4750*o**2 + 1100*o + 2120 = 0.
-53, -1/2, 2
Factor -2*n**2 - 4760*n.
-2*n*(n + 2380)
Find a, given that -18985*a**3/8 + a**2/8 + 18985*a/2 - 1/2 = 0.
-2, 1/18985, 2
Determine w so that 3*w**2/5 - 306*w - 3120 = 0.
-10, 520
Suppose -5*h**5 + 95*h**4 - 85*h**3 - 95*h**2 + 90*h = 0. What is h?
-1, 0, 1, 18
Solve 12635*k**4 + 29545*k**3 + 24210*k**2 + 8300*k + 1000 = 0 for k.
-1, -10/19, -2/7
Solve -b**3/2 - 2013*b**2 - 32151*b/2 - 14063 = 0.
-4018, -7, -1
Factor -5*b**3 + 1623535*b**2 - 131792483040*b - 131794106580.
-5*(b - 162354)**2*(b + 1)
Find a, given that -290*a**4 + 1198*a**3 - 1308*a**2 + 136*a + 16 = 0.
-2/29, 1/5, 2
Suppose -175561*p**4 - 23464*p**3 - 784*p**2 = 0. What is p?
-28/419, 0
Determine v so that 90*v**4 + 1765*v**3 - 12450*v**2 - 8155*v - 750 = 0.
-25, -1/2, -1/9, 6
Find p, given that p**2/10 - 1031*p/2 = 0.
0, 5155
Find h such that h**2 + 57925*h + 115846 = 0.
-57923, -2
Factor g**2/4 + 418693*g + 175303828249.
(g + 837386)**2/4
Find i, given that 4*i**3 - 37400*i**2 + 87385088*i + 174919808 = 0.
-2, 4676
Factor d**3/7 - 752273*d**2/7 + 141478290495*d/7 + 141479042769/7.
(d - 376137)**2*(d + 1)/7
Factor -2*j**2/5 + 1423312*j/5 - 253227131168/5.
-2*(j - 355828)**2/5
Let -2*n**2/3 + 89608*n - 537640/3 = 0. What is n?
2, 134410
Factor -z**2 + 12661*z - 12660.
-(z - 12660)*(z - 1)
Factor -5*m**2 + 1533330*m - 117555044445.
-5*(m - 153333)**2
Factor -2*t**4 + 7984680*t**3 - 10625852450400*t**2 + 4713557307981104000*t.
-2*t*(t - 1330780)**3
Let d**3/5 - 3*d**2 - 2997*d/5 - 50301/5 = 0. What is d?
-27, 69
Factor 4*n**3 + 200*n**2 + 1196*n - 11480.
4*(n - 5)*(n + 14)*(n + 41)
Factor -3*v**3 - 151*v**2 - 48*v + 100.
-(v + 1)*(v + 50)*(3*v - 2)
Factor -b**3/3 - 4*b**2/3 + 17*b + 18.
-(b - 6)*(b + 1)*(b + 9)/3
Factor -3*j**2 - 87360*j - 635980800.
-3*(j + 14560)**2
Solve -3*g**5 - 2022*g**4 - 350667*g**3 - 3356520*g**2 - 8266800*g = 0.
-332, -5, 0
Find c, given that -5*c**4 + 11510*c**3 + 454500*c**2 + 4668490*c + 4225505 = 0.
-19, -1, 2341
Let -3*v**4 - 1020*v**3 + 388566*v**2 + 80795220*v - 18823147563 = 0. What is v?
-379, 209
Factor 3*g**2/2 - 78465*g/2.
3*g*(g - 26155)/2
What is v in -33708*v**4 + 283868*v**3 - 109952*v**2 - 31040*v + 12800 = 0?
-1/3, 20/53, 8
Factor 2*j**2/9 - 90*j - 47528/9.
2*(j - 457)*(j + 52)/9
Factor 5*b**3 - 1445*b**2 - 37820*b + 81380.
5*(b - 313)*(b - 2)*(b + 26)
Determine i, given that -i**5 - 12*i**4 + 14*i**3 + 12*i**2 - 13*i = 0.
-13, -1, 0, 1
Determine n so that -n**4/3 - 120670*n**3/3 - 1213477631*n**2 - 7280503780*n/3 - 3640191556/3 = 0.
-60334, -1
Solve -338*d**5/9 + 28288*d**4/3 - 6286*d**3/9 - 20056*d**2/3 - 2008*d = 0.
-6/13, 0, 1, 251
Determine a, given that 2*a**5/9 - 26*a**4/9 - 22*a**3/3 + 74*a**2/9 + 232*a/9 + 40/3 = 0.
-2, -1, 2, 15
Suppose -2469*a**4 - 16878*a**3 - 16917*a**2 + 42744*a - 6480 = 0. Calculate a.
-4, 135/823, 1
Suppose z**3/2 - 503*z**2 - 3135*z/2 + 54486 = 0. What is z?
-12, 9, 1009
Find a, given that 16*a**3/5 + 242*a**2/25 - 314*a/25 - 8/25 = 0.
-4, -1/40, 1
Let 2*c**5/5 - 122*c**4/5 + 956*c**3/5 + 32256*c**2/5 - 67392*c/5 = 0. Calculate c.
-13, 0, 2, 36
What is s in -3*s**3 - 3336*s**2 + 679539*s - 676200 = 0?
-1288, 1, 175
Factor 3*y**3/7 - 30207*y**2 + 422886*y/7.
3*y*(y - 70481)*(y - 2)/7
Let -j**5/2 + 261*j**4/2 - 22875*j**3/2 + 687395*j**2/2 - 609912*j - 965178 = 0. What is j?
-1, 3, 86, 87
Determine i, given that 22*i**5 - 438*i**4 + 3018*i**3 - 8698*i**2 + 8688*i + 864 = 0.
-1/11, 3, 4, 9
Factor -2*v**3/5 + 1638*v**2/5 + 328*v.
-2*v*(v - 820)*(v + 1)/5
Suppose 2*v**5/11 + 174*v**4/11 + 754*v**3/11 - 5358*v**2/11 + 4428*v/11 = 0. Calculate v.
-82, -9, 0, 1, 3
Factor -3*a**2/5 - 31362*a/5.
-3*a*(a + 10454)/5
Factor 5*r**2/2 + 412665*r/2 - 412675.
5*(r - 2)*(r + 82535)/2
Find w such that -2*w**3/3 + 47608*w**2/9 - 190360*w/9 + 190336/9 = 0.
2, 23792/3
Let -5*s**2 + 119045*s - 238070 = 0. What is s?
2, 23807
Suppose -2*h**2/7 + 1592064*h/7 - 316833472512/7 = 0. Calculate h.
398016
Factor 6*y**3/7 + 3606*y**2/7 + 7188*y/7.
6*y*(y + 2)*(y + 599)/7
Factor -3*k**2/5 + 426492*k/5 - 15157952172/5.
-3*(k - 71082)**2/5
Suppose w**4/10 + 353*w**3/5 - 9774*w**2/5 + 17739*w - 534357/10 = 0. What is w?
-733, 9
Factor 3*m**3/4 - 53655*m**2/4 + 59982936*m - 59969523.
3*(m - 8942)**2*(m - 1)/4
Determine l, given that 5*l**3 - 3120*l**2 - 832260*l - 1652000 = 0.
-200, -2, 826
Let 3*b**3 - 3978*b**2/5 - 16107*b/5 - 12114/5 = 0. Calculate b.
-3, -1, 1346/5
Determine b so that -2*b**3 + 12066*b**2 - 252544*b + 240480 = 0.
1, 20, 6012
Suppose 2*b**3 + 96*b**2 - 2286*b + 5940 = 0. Calculate b.
-66, 3, 15
Factor -3*j**2/2 - 64788*j - 129573/2.
-3*(j + 1)*(j + 43191)/2
Let n**3/5 + 2851*n**2/5 + 28135*n + 350125 = 0. What is n?
-2801, -25
Suppose 5*b**5 + 210*b**4 - 7240*b**3 - 66720*b**2 - 138880*b = 0. Calculate b.
-62, -4, 0, 28
Solve -2*b**2/3 - 353462*b/3 + 353464/3 = 0.
-176732, 1
Determine h, given that 2*h**2/3 + 81242*h/3 - 81244/3 = 0.
-40622, 1
Factor 9*u**3/7 - 406*u**2 + 10600*u/7 + 2496/7.
(u - 312)*(u - 4)*(9*u + 2)/7
Factor 2*r**3/3 + 14582*r**2/3 + 14576*r.
2*r*(r + 3)*(r + 7288)/3
Factor -x**3/4 + 36227*x**2 - 5249437205*x/4 - 5249727025/2.
-(x - 72455)**2*(x + 2)/4
Factor y**3/4 + 55*y**2 + 647*y/4 - 217.
(y - 1)*(y + 4)*(y + 217)/4
Factor -z**5 - 35*z**4 + 3*z**3 + 103*z**2 - 70*z.
-z*(z - 1)**2*(z + 2)*(z + 35)
Solve -r**2/6 - 4532*r - 30808536 = 0.
-13596
Determine f so that f**5 - 26*f**4/7 - 1380*f**3/7 + 920*f**2 + 20768*f/7 + 768 = 0.
-14, -2, -2/7, 8, 12
Let -2*f**2/5 - 80*f - 6222/5 = 0. Calculate f.
-183, -17
What is n in -3*n**3/8 - 6855*n**2/8 + 7746*n + 17205/2 = 0?
-2294, -1, 10
Factor 3*f**4/5 + 9111*f**3/5 + 6931173*f**2/5 + 20711601*f/5.
3*f*(f + 3)*(f + 1517)**2/5
What is l in -3*l**3/7 - 289881*l**2/7 - 7002727785*l/7 - 7002437907/7 = 0?
-48313, -1
Suppose -2*w**5/3 - 340*w**4/3 - 4726*w**3/3 - 11828*w**2/3 - 2480*w = 0. What is w?
-155, -12, -2, -1, 0
Suppose -2*q**5 - 120*q**4 + 1400*q**3 = 0. What is q?
-70, 0, 10
Suppose -5*q**3 - 99590*q**2 + 996275*q - 2491000 = 0. What is q?
-19928, 5
Let -122*w**3/3 + 4232*w**2/3 - 33170*w/3 + 25100 = 0. What is w?
5, 1506/61
Factor 2*m**3 - 5424*m**2 + 43264*m.
2*m*(m - 2704)*(m - 8)
Determine k, given that 4*k**5 + 2868*k**4 + 410264*k**3 - 95994928*k**2 - 20617211424*k + 20712793216 = 0.
-302, 1, 188
Factor 5*t**3 + 5030*t**2 + 15055*t + 10030.
5*(t + 1)*(t + 2)*(t + 1003)
Suppose 3*z**3 + 12438*z**2 - 49788*z + 49800 = 0. What is z?
-4150, 2
Let 14*z**5 - 7858*z**4 + 146906*z**3 - 307150*z**2 + 204944*z - 36856 = 0. What is z?
2/7, 1, 17, 542
Suppose -f**4/5 - 963*f**3/5 - 8613*f**2/5 - 5157*f - 25758/5 = 0. What is f?
-954, -3
Factor q**3/2 - 415*q**2/2 + 27200*q - 1083750.
(q - 170)**2*(q - 75)/2
Let -5*y**4 - 3220*y**3 + 22730*y**2 - 35780*y + 16275 = 0. What is y?
-651, 1, 5
Factor -3*i**4 + 24684*i**3 - 50873628*i**2 + 405804960*i - 810820800.
-3*(i - 4110)**2*(i - 4)**2
Determine w, given that 2*w**2/3 + 475488*w + 84783314304 = 0.
-356616
Factor -2*o**4 - 1562*o**3 - 117774*o**2 - 3101166*o - 27556200.
-2*(o + 27)**3*(o + 700)
Solve 5*l**5 + 40*l**4 | {
"pile_set_name": "DM Mathematics"
} |
Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {l: 6, x: 7}.
7/13
Four letters picked without replacement from {w: 8, f: 1, i: 2, g: 7}. Give prob of picking 1 f, 1 g, and 2 w.
49/765
Two letters picked without replacement from tgqgqggq. Give prob of picking 2 g.
3/14
Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {r: 3, b: 7, l: 2}.
1/11
Two letters picked without replacement from {n: 7, d: 9}. What is prob of picking 1 d and 1 n?
21/40
Four letters picked without replacement from aiaanaavhvnaija. Give prob of picking 1 v, 2 a, and 1 n.
4/65
Calculate prob of picking 3 z and 1 q when four letters picked without replacement from {z: 3, h: 1, o: 5, w: 1, q: 1, d: 2}.
1/715
Three letters picked without replacement from {v: 9, y: 2, f: 6}. What is prob of picking 1 f, 1 v, and 1 y?
27/170
Two letters picked without replacement from xxexxxebxeeeknxnxx. Give prob of picking 2 e.
10/153
What is prob of picking 2 o when two letters picked without replacement from eeeeoeeeoeoeooee?
1/12
Two letters picked without replacement from {i: 3, w: 1, s: 4, q: 2, k: 1}. Give prob of picking 1 w and 1 s.
4/55
Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {s: 12, m: 7}.
28/57
Two letters picked without replacement from {h: 1, i: 1, u: 1, a: 1, m: 1}. What is prob of picking 1 u and 1 i?
1/10
Calculate prob of picking 3 e and 1 n when four letters picked without replacement from {e: 7, n: 12}.
35/323
Two letters picked without replacement from httqqrhtt. What is prob of picking 2 h?
1/36
What is prob of picking 1 x and 1 q when two letters picked without replacement from xdxsddxxqds?
4/55
Three letters picked without replacement from yybyybyyyybybbyyyy. Give prob of picking 3 b.
5/408
Two letters picked without replacement from {d: 1, i: 1, p: 1, a: 1, b: 1}. What is prob of picking 1 d and 1 p?
1/10
What is prob of picking 1 b, 1 g, and 1 m when three letters picked without replacement from {g: 1, m: 2, b: 1}?
1/2
Three letters picked without replacement from {p: 5, l: 2, r: 7, z: 3, e: 3}. Give prob of picking 1 z, 1 r, and 1 p.
7/76
Calculate prob of picking 3 j when three letters picked without replacement from {j: 15, y: 4}.
455/969
Three letters picked without replacement from {t: 9}. What is prob of picking 3 t?
1
Four letters picked without replacement from {r: 6, v: 4}. What is prob of picking 4 v?
1/210
Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {a: 4, m: 1, t: 1, w: 2, l: 1, h: 3}.
1/66
Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {o: 1, z: 1, r: 9, e: 1}.
1/66
What is prob of picking 1 j, 1 k, and 1 q when three letters picked without replacement from {q: 4, v: 2, j: 5, k: 2}?
20/143
Three letters picked without replacement from vjvatttjtjgajt. Give prob of picking 1 g and 2 v.
1/364
Two letters picked without replacement from kkkkkkkkkk. Give prob of picking 2 k.
1
What is prob of picking 1 e and 1 f when two letters picked without replacement from oobfibe?
1/21
Two letters picked without replacement from yspazipzpizp. Give prob of picking 1 p and 1 a.
2/33
What is prob of picking 1 w and 1 m when two letters picked without replacement from wmu?
1/3
What is prob of picking 1 t and 2 u when three letters picked without replacement from tuuf?
1/4
What is prob of picking 2 s when two letters picked without replacement from sqqqssq?
1/7
What is prob of picking 2 p when two letters picked without replacement from {o: 4, l: 2, p: 4}?
2/15
Calculate prob of picking 1 t, 1 e, and 2 u when four letters picked without replacement from yyummtyeeutmm.
4/715
What is prob of picking 2 q and 1 a when three letters picked without replacement from qaawaqay?
1/14
Two letters picked without replacement from {r: 2, k: 1, j: 2, n: 1, w: 1, e: 1}. What is prob of picking 1 k and 1 j?
1/14
What is prob of picking 1 i and 1 m when two letters picked without replacement from {e: 1, g: 3, i: 4, l: 2, m: 1, t: 1}?
2/33
Calculate prob of picking 2 y, 1 b, and 1 s when four letters picked without replacement from sbyyybsb.
9/35
Calculate prob of picking 4 d when four letters picked without replacement from cddcdddxc.
5/126
Two letters picked without replacement from {y: 1, h: 2, b: 1, m: 4}. Give prob of picking 1 h and 1 m.
2/7
What is prob of picking 2 v, 1 p, and 1 c when four letters picked without replacement from oavaocvocopaoo?
2/1001
Three letters picked without replacement from skqaqkaaa. Give prob of picking 1 s, 1 a, and 1 k.
2/21
Calculate prob of picking 1 m, 1 r, and 1 x when three letters picked without replacement from mxrmammmamrrkkarmxaa.
14/285
What is prob of picking 1 p, 1 a, and 1 e when three letters picked without replacement from {e: 1, a: 1, p: 1, b: 1, r: 1}?
1/10
Calculate prob of picking 4 f when four letters picked without replacement from ffff.
1
Calculate prob of picking 1 j and 1 x when two letters picked without replacement from ljljzvxvjvlvlzvvj.
1/34
What is prob of picking 1 f and 1 n when two letters picked without replacement from wfnpppwph?
1/36
Calculate prob of picking 1 r, 1 l, and 1 i when three letters picked without replacement from {w: 1, l: 6, i: 2, r: 6, u: 2}.
9/85
Calculate prob of picking 2 c and 1 h when three letters picked without replacement from {c: 3, k: 2, h: 6, a: 1, u: 6}.
3/136
Two letters picked without replacement from {w: 6, z: 4, m: 2, k: 6}. What is prob of picking 1 k and 1 w?
4/17
What is prob of picking 2 f and 2 m when four letters picked without replacement from {z: 6, v: 3, f: 2, u: 2, m: 3}?
3/1820
Two letters picked without replacement from qvevenvvivve. What is prob of picking 2 e?
1/22
Three letters picked without replacement from xgggwwfxwgigwxv. What is prob of picking 1 g, 1 f, and 1 v?
1/91
Two letters picked without replacement from {h: 5, n: 1, j: 1, t: 2, i: 3}. Give prob of picking 1 i and 1 n.
1/22
Three letters picked without replacement from {d: 3, h: 1, g: 3}. What is prob of picking 2 d and 1 h?
3/35
Four letters picked without replacement from roooprrophpphpo. What is prob of picking 1 p, 1 r, and 2 o?
10/91
What is prob of picking 2 h when two letters picked without replacement from {l: 2, h: 1, v: 2}?
0
Three letters picked without replacement from qvqwwhwbqhvbwwhvwq. What is prob of picking 2 w and 1 h?
15/272
Calculate prob of picking 1 a, 1 q, and 1 n when three letters picked without replacement from nanennnaq.
5/42
Two letters picked without replacement from {o: 1, m: 2, l: 2, u: 12, i: 2}. What is prob of picking 1 l and 1 o?
2/171
Three letters picked without replacement from rollorll. What is prob of picking 2 o and 1 r?
1/28
Two letters picked without replacement from nnnznnvvzzvnn. Give prob of picking 1 v and 1 n.
7/26
Four letters picked without replacement from {n: 1, x: 2, v: 6, s: 1, b: 2}. Give prob of picking 4 v.
1/33
Calculate prob of picking 2 h and 2 n when four letters picked without replacement from {b: 4, n: 4, h: 2, z: 1}.
1/55
Four letters picked without replacement from jrrjrajj. What is prob of picking 3 r and 1 a?
1/70
Three letters picked without replacement from zmzglllmvmmrgrv. What is prob of picking 1 m, 1 z, and 1 g?
16/455
What is prob of picking 1 c and 1 v when two letters picked without replacement from cxvccxxcccccccc?
11/105
What is prob of picking 2 d and 2 u when four letters picked without replacement from {z: 5, q: 3, d: 2, t: 3, u: 3}?
3/1820
Four letters picked without replacement from nnjnnnnnnnnjnjjnnn. What is prob of picking 3 j and 1 n?
14/765
Three letters picked without replacement from ybybdduuhdwbbdwwu. Give prob of picking 1 y, 1 w, and 1 b.
3/85
Three letters picked without replacement from ssnsminsi. What is prob of picking 1 m and 2 s?
1/14
Calculate prob of picking 2 o when two letters picked without replacement from ommonmmmmmnmommr.
1/40
Calculate prob of picking 1 i and 1 l when two letters picked without replacement from glclttiggllclcillc.
14/153
Four letters picked without replacement from {f: 2, n: 5}. What is prob of picking 3 n and 1 f?
4/7
Two letters picked without replacement from xxxpxpxxpxxxxpapppx. What i | {
"pile_set_name": "DM Mathematics"
} |
ve 33 - 13 = 5*u for u.
4
Solve 13*o = 3*o + 20 for o.
2
Solve 8*c + 21 = -35 for c.
-7
Solve 44 = -1277*y + 1288*y for y.
4
Solve 0 = -26*b + 10*b + 48 for b.
3
Solve 0 = -20*q + 693 - 493 for q.
10
Solve -62*k - 40 = -66*k for k.
10
Solve 117 = 172*u - 159*u for u.
9
Solve 0 = -8*d + 13*d + 10 for d.
-2
Solve -4*g - 32 = -16 for g.
-4
Solve 47*y = -3*y - 250 for y.
-5
Solve 14*i + 36 = -20 for i.
-4
Solve -18*s = 15*s + 165 for s.
-5
Solve -7*z - 5 = -8*z for z.
5
Solve -112 = 229*m - 215*m for m.
-8
Solve -4*q = 7 + 9 for q.
-4
Solve 31*x + 4 = 29*x for x.
-2
Solve 0 = -5*x + 6*x + 2 for x.
-2
Solve -3042*s + 3043*s = 7 for s.
7
Solve 113*s = 94*s - 57 for s.
-3
Solve -8*p = -9*p + 5 for p.
5
Solve -78 = 7*m + 19*m for m.
-3
Solve 42*d - 20 = 37*d for d.
4
Solve 0 = 144*r - 132*r + 24 for r.
-2
Solve 8*z - 281 + 233 = 0 for z.
6
Solve -91*o = -97*o - 12 for o.
-2
Solve -9*f = -3*f - 6 for f.
1
Solve 30*z = 31*z + 3 for z.
-3
Solve -8 = -47*h + 49*h for h.
-4
Solve 7*c = -8 + 1 for c.
-1
Solve 7*i = -4 - 31 for i.
-5
Solve -17*h = -29*h for h.
0
Solve -5 = 14*b + 9 for b.
-1
Solve -3*p - 22*p + 175 = 0 for p.
7
Solve k + 1 = -1 for k.
-2
Solve -v - 2*v = 12 for v.
-4
Solve -i = -5*i + 20 for i.
5
Solve 13*p - 30 = 8*p for p.
6
Solve 0 = -7*f + 24 - 52 for f.
-4
Solve -7 = -10*a + 3*a for a.
1
Solve 32 = 3*v + 23 for v.
3
Solve 156*k - 166*k = -80 for k.
8
Solve -27 = -18*j - 9 for j.
1
Solve -7*o = 3*o - 30 for o.
3
Solve 0 = 15*q - 49 + 4 for q.
3
Solve 19*r - 26*r + 42 = 0 for r.
6
Solve 0 = 19*c - 3*c for c.
0
Solve 0 = -5*k - 7 + 2 for k.
-1
Solve -128 = -48*j + 16*j for j.
4
Solve 0 = -0*o - 7*o + 35 for o.
5
Solve -17*h + 52 = -33 for h.
5
Solve -126*i - 90 = -36*i for i.
-1
Solve 594*l + 1 = 593*l for l.
-1
Solve 73 = 20*q - 7 for q.
4
Solve 3 + 27 = 15*z for z.
2
Solve 5*o + 15 = -5 for o.
-4
Solve -3*x = -5*x + 2 for x.
1
Solve 10 = 2*f - 0 for f.
5
Solve -6*t = 38 - 14 for t.
-4
Solve 7*a - 16*a = 54 for a.
-6
Solve -9*t + 14 + 13 = 0 for t.
3
Solve 8 = 2*d + 14 for d.
-3
Solve 58*u - 50*u - 56 = 0 for u.
7
Solve 5*g - 1 = 24 for g.
5
Solve -9*b + 1036 = 982 for b.
6
Solve 0 = 28*k + 34*k + 186 for k.
-3
Solve -467 + 283 = 23*z for z.
-8
Solve 0 = 11*w + 2 - 35 for w.
3
Solve 6 = -5*q - 14 for q.
-4
Solve -569 = -11*o - 547 for o.
2
Solve 71 - 127 = -7*b for b.
8
Solve 13*i - i = -36 for i.
-3
Solve -64 = -17*v + 4 for v.
4
Solve 0 = 10*a + 2*a + 60 for a.
-5
Solve -g + 3*g = 8 for g.
4
Solve -4*u - 8 = -20 for u.
3
Solve 0 = -17*r + 420 - 318 for r.
6
Solve 6*k = 14*k + 48 for k.
-6
Solve -30*i + 11 = -41*i for i.
-1
Solve 45 = -7*k - 2*k for k.
-5
Solve 6*x + x - 21 = 0 for x.
3
Solve -35 = -162*d + 155*d for d.
5
Solve 12*b = -2*b + 98 for b.
7
Solve 40*o + 287 - 167 = 0 for o.
-3
Solve -20 = -26*y + 136 for y.
6
Solve -9*z - 5 + 14 = 0 for z.
1
Solve 3*a = -264 + 267 for a.
1
Solve 10*s - 49 - 1 = 0 for s.
5
Solve 102*n = 101*n - 1 for n.
-1
Solve -4*v + 76 = -23*v for v.
-4
Solve 13 = 19*k - 6*k for k.
1
Solve -23*s = -13*s - 30 for s.
3
Solve -13*c = -8 - 57 for c.
5
Solve 0 = 14*l - 12 - 16 for l.
2
Solve 3 = -13*s + 16*s for s.
1
Solve -59*i + 27 - 86 = 0 for i.
-1
Solve 19 - 3 = -4*d for d.
-4
Solve -7*q - 9 = 26 for q.
-5
Solve 0 = 24*t - 12*t + 36 for t.
-3
Solve -56*t + 177 = 3*t for t.
3
Solve 0 = -0*w + 4*w - 4 for w.
1
Solve -169 - 125 = -42*f for f.
7
Solve 0 = -3*y + 12 - 9 for y.
1
Solve 2 = 37*t - 39*t for t.
-1
Solve 0 = -p + 6 - 10 for p.
-4
Solve 12*d - 32 + 8 = 0 for d.
2
Solve -17*k + 2 - 70 = 0 for k.
-4
Solve 4*w - 16 = 8*w for w.
-4
Solve 0 = 43*r + 28*r + 639 for r.
-9
Solve 72*d = 63*d - 27 for d.
-3
Solve -85*y + 66*y + 152 = 0 for y.
8
Solve 42*y + 88 = 20*y for y.
-4
Solve 18*i = 35*i - 51 for i.
3
Solve -12 = 5*o - 7 for o.
-1
Solve 14 = -3331*h + 3333*h for h.
7
Solve 272 = -41*v + 7*v for v.
-8
Solve -3*m + 9*m = m for m.
0
Solve 5*t - 44 = -17*t for t.
2
Solve -15 = 14*r - 1 for r.
-1
Solve 8*f - 3*f - 25 = 0 for f.
5
Solve 40 = 17*w - 96 for w.
8
Solve -183 + 198 = -3*k for k.
-5
Solve -12*n - 17*n - 29 = 0 for n.
-1
Solve 0 = -131*z + 157*z + 104 for z.
-4
Solve 28 = -9*g - 17 for g.
-5
Solve g - 13 + 14 = 0 for g.
-1
Solve 76*i + 42 = 83*i for i.
6
Solve -6*k - 10 = -4*k for k.
-5
Solve -6*t + 3 = -9 for t.
2
Solve 0 = -14*i + 6*i for i.
0
Solve 22*p = 14*p + 24 for p.
3
Solve 7*l - 3*l - 12 = 0 for l.
3
Solve 11 = 7*h - 10 for h.
3
Solve -16*w - 196 = -44*w for w.
7
Solve -56*r - 25 = -61*r for r.
5
Solve -42*c - 78 = -68*c for c.
3
Solve 1 = 5*j - 9 for j.
2
Solve -36 = 6821*s - 6830*s for s.
4
Solve 0 = -79*h + 66*h + 65 for h.
5
Solve 13*z - z = -24 for z.
-2
Solve 4*s - 10 = -18 for s.
-2
Solve -22 + 19 = -r for r.
3
Solve -4*z = -7*z - 3 for z.
-1
Solve -6*v = -11*v for v.
0
Solve 155 = 34*m - 151 for m.
9
Solve -5*p - 11 = 4 for p.
-3
Solve 23*z = -180 - 50 for z.
-10
Solve 0 = -y - 14 + 9 for y.
-5
Solve -7*u = -29*u + 132 for u.
6
Solve 70 = 3*a - 17*a for a.
-5
Solve 9*a - 18 = 36 for a.
6
Solve 0 = -21*j - 2 + 23 for j.
1
Solve -15*y + y + 70 = 0 for y.
5
Solve 2 = 12*o + 38 for o.
-3
Solve 14*y + 298 = 368 for y.
5
Solve -10*u - 90 = -25*u for u.
6
Solve -7*b + 5 = 33 for b.
-4
Solve 0 = 10*v - 16*v + 18 for v.
3
Solve -476*q + 473*q = -30 for q.
10
Solve 3*d = -14 + 29 for d.
5
Solve 4*j + 4*j = 2*j for j.
0
Solve 44*p + 28 = 40*p for p.
-7
Solve -10*r - r = 33 for r.
-3
Solve 0 = -10*c + 11 - 11 for c.
0
Solve 0 = -4*x + 11 + 5 for x.
4
Solve 4*b - 4 = -16 for b.
-3
Solve -28*z - 621 = -537 for z.
-3
Solve -26 = -7*w - 19 for w.
1
Solve 2*f = 4*f - 12 for f.
6
Solve 0 = 6*g - 422 + 458 for g.
-6
Solve -19*z = 18*z + 74 for z.
-2
Solve 14*f + 12*f = 78 for f.
3
Solve -10 = -2*h - 8 for h.
1
Solve 20*i - 66 = -2*i for i.
3
Solve -35 + 30 = -i for i.
5
Solve 1125*v = 1107*v for v.
0
Solve 385*u = 378*u for u.
0
Solve -200 = 2*p - 212 for p.
6
Solve 11*s - 21*s + 50 = 0 for s.
5
Solve 7*j - 137 + 186 = 0 for j.
-7
Solve -93*n + 60*n = -363 for n.
11
Solve 6*z = 16 + 2 for z.
3
Solve 94*n - 95*n = 2 for n.
-2
Solve 0 = 21*h - 23*h - 8 for h.
-4
Solve -22 + 13 = 3*p for p.
-3
Solve 158*t = 160*t - 14 for t.
7
Solve 0 = -28*g + 4*g - 72 for g.
-3
Solve -22*q + 64 = -24 for q.
4
Solve 0 = 93*n - 143*n + 350 for n.
7
Solve -5*m = 6 + 4 for m.
-2
Solve -2*l + 104*l = -510 for l.
-5
Solve -a - 42 = -47 for a.
5
Solve 0 = -22*y + y for y.
0
Solve 65*f = 10*f - 55 for f.
-1
Solve g + 7*g = -8 for g.
-1
Solve -18*j + 2 = 2 for j.
0
Solve -13*w - 101 + 36 = 0 for w.
-5
Solve 0 = 27*q + 27 - 0 for q.
-1
Solve -5*x - 13 = -23 for x.
2
Solve 20 = 3*s + s for s.
5
Solve -30*f = 9*f for f.
0
Solve 43 = -4*g + 23 for g.
-5
Solve 0 = -2*p - 85 + 79 for p.
-3
Solve 6*t = 4*t - 14 for t.
-7
Solve 8*x - 22*x - 70 = 0 for x.
-5
Solve 100*j + 75 = 115*j for j.
5
Solve 250*j = 246*j + 4 for j.
1
Solve -7*q = -0*q for q.
0
Solve -33*f + 98 = 32 for f.
2
Solve 0 = 8*p + 14*p - 154 for p.
7
Solve -7 = -2*x - 9 for x.
-1
Solve -2*i + 288 = 296 for i.
-4
Solve 0 = 4*y - 2*y - 8 for y.
4
Solve 27*g = 38 + 70 for g.
4
Solve -24*z + 22 = -35*z for z.
-2
Solve 11 - 11 = -2*j for j.
0
Solve 2*j + 47 = 45 for j.
-1
Solve 2*v = 8*v - 30 for v.
5
Solve 0 = 7*t - 43 + 50 for t.
-1
Solve 12*a = 7*a - 15 for a.
-3
Solve 722*q - 725*q - 3 = 0 for q.
-1
Solve 126*h = 120*h + 6 for h.
1
Solve 28 = 28*z - 35*z for z.
-4
Solve 5*z - 9 - 26 = 0 for z.
7
Solve 0 = 122*b - 129*b + 21 for b.
3
Solve 32*r - 49 = 25*r for r.
7
Solve -41*k = 25 + 57 for k.
-2
Solve -40*j = 84*j - 7*j for j.
0
Solve 30 = 8*d + 7*d for d.
2
Solve 0 = -21*j - 211 + 127 for j.
-4
Solve 8*b + b = 2*b for b.
0
Solve -47 = -4*v - 55 for v.
-2
Solve -47*v = 92 + 49 for v.
-3
Solve 15 - 21 = -6*f for f.
1
Solve -15*k = 15 - 0 for k.
-1
Solve -12 = -5*r + 9*r for r.
-3
Solve 51*t + 33 + 171 = 0 for t.
-4
Solve 0 = 97*r - 94*r - 9 for r.
3
Solve 15*n = 49 - 154 for n.
-7
Solve -47*t + 17 = -77 for t.
2
Solve 0 = 38*k - 41*k + 3 for k.
1
Solve -46 = 32*s + 274 for s.
-10
Solve -2*x = 5 - 15 for x.
5
Solve 5*d + 6*d = -22 for d.
-2
Solve 418*w - 428*w = 60 for w.
-6
Solve -38*f = -33*f for f.
0
Solve -52*g - 3 = -55*g for g.
1
Solve 0 = -34*v + 24*v - 20 for v.
-2
Solve -2*g - 35 = 5*g for g.
-5
Solve 5*s - 5 = -30 for s.
-5
Solve 4*m - 3622 = -3638 for m.
-4 | {
"pile_set_name": "DM Mathematics"
} |
(d) -27/5 (e) -0.3 (f) 1 (g) -0.11
f
Which is the third smallest value? (a) 2/13 (b) 27474/4213 (c) -2/13
b
What is the sixth smallest value in 0.0564, 0.1, 5, 2.7, -1, -0.3?
5
What is the fifth smallest value in 22, 0, 6266, -2, 5, 3?
22
Which is the second biggest value? (a) -5 (b) 0.01432 (c) 0.12 (d) 6
c
Which is the third biggest value? (a) 1 (b) 28 (c) 3 (d) -2/27
a
What is the seventh smallest value in 0, 0.3, -2/187, 0.07, 37, 1, 3/5?
37
Which is the third biggest value? (a) 1388.13 (b) -3 (c) 2/41 (d) -2
d
What is the smallest value in -2, -134, 5/11, -0.5, 1, 28?
-134
What is the fifth biggest value in -9, 0.5, 2/9, 14, 3/2, -4?
-4
Which is the fourth smallest value? (a) 2 (b) -2039 (c) 0 (d) 1 (e) -0.2 (f) 4 (g) 3/13
g
Which is the third biggest value? (a) 2/5 (b) -1/9 (c) -0.8 (d) -1/5 (e) 0.127844 (f) 2
e
Which is the second smallest value? (a) -2 (b) 4/333 (c) 10/9 (d) 1 (e) 20
b
Which is the fifth biggest value? (a) 3/5 (b) 3 (c) 0.1 (d) -2 (e) -156526/7 (f) 4
d
What is the third smallest value in -1/15, -3, -331.4?
-1/15
What is the fourth smallest value in 2/11, -0.039, 7.667, -88, 0.5?
0.5
What is the fifth smallest value in -1/3, -4, -13/2, 3/4, 2, 7/11?
3/4
What is the third smallest value in 1/99, -2/19, 0.02532, -1?
1/99
What is the biggest value in -2.6, 8/2023, -0.1?
8/2023
What is the biggest value in -2, -8, -0.0288444?
-0.0288444
What is the fourth biggest value in 3/7, 68, -0.1, 4, 0, 20?
3/7
What is the smallest value in -1/2, 7, 0.2, 0.7, -0.2?
-1/2
Which is the fourth biggest value? (a) 5 (b) 0.4 (c) -4 (d) -9.0905815
d
What is the second smallest value in -4, -0.06, -3, -1.1, -17, -1/447?
-4
Which is the second smallest value? (a) 3 (b) -555 (c) 7.2 (d) 67
a
What is the third smallest value in -3, -0.4, 19.2, 7/5, 10/23, -1/3, -2/9?
-1/3
Which is the second smallest value? (a) 75.15555 (b) -53 (c) -2
c
What is the third biggest value in 42, -0.04, -1/51, 4/5, -1, -22?
-1/51
What is the fifth biggest value in -1, 13.5, -1393, -4/3, -0.3?
-1393
Which is the biggest value? (a) 1 (b) -5 (c) 312 (d) 8672 (e) 3
d
What is the fourth smallest value in -973930, -0.06, 0.1, 0, 2, 4?
0.1
What is the third smallest value in -728466, 0.08, -0.14?
0.08
What is the third smallest value in 2.64917, 0, -11, -2?
0
What is the smallest value in -4681, -1, -0.5, -4/3, -9/2?
-4681
Which is the third smallest value? (a) -3/7 (b) -2/7 (c) -490 (d) -117 (e) 0.4
a
What is the third smallest value in 0, -9, -2, -2/149, 2/7, 2/29?
-2/149
Which is the fourth biggest value? (a) -0.1 (b) -0.1627 (c) 0.1 (d) 2/19 (e) -2/95 (f) 3/7 (g) 2
c
Which is the biggest value? (a) 539 (b) 0.1 (c) 27152
c
Which is the third smallest value? (a) -4291 (b) 0.3 (c) -0.4 (d) 179
b
Which is the sixth biggest value? (a) 1/4 (b) -4 (c) 48 (d) -1/619 (e) 1/2 (f) -1 (g) -5
b
Which is the sixth smallest value? (a) 0.5 (b) 4/11 (c) -2 (d) -4 (e) 60148 (f) 6
e
Which is the fourth smallest value? (a) -737 (b) 2/17 (c) 2/15 (d) 18
d
What is the second smallest value in -2, 1/6, -87083, -1/4, 2/5, -5/4, 3?
-2
Which is the fifth smallest value? (a) -149/6 (b) 1.6 (c) 5 (d) 1 (e) 3
c
What is the third smallest value in -4, -0.06, -8001732?
-0.06
What is the third biggest value in -1/7, 55855, -4, 3, -5, 0.2?
0.2
Which is the fifth biggest value? (a) -4/11 (b) 2/95 (c) -12 (d) -0.6 (e) -19 (f) -0.3
c
What is the smallest value in -190985, 0.1, -0.3, 4, -1?
-190985
Which is the biggest value? (a) -833.6 (b) -1/7 (c) 0.651
c
What is the seventh biggest value in -12.6, 0, -0.4, 1/2, -1/3, -1, 4/5?
-12.6
Which is the seventh smallest value? (a) -5 (b) -0.165 (c) 7/5 (d) 0.5 (e) 8/5 (f) 43 (g) -2/13
f
Which is the sixth biggest value? (a) -6/5 (b) -4/5 (c) 2/11 (d) 306 (e) 3 (f) 10/7 (g) -0.05
b
What is the second smallest value in -351, -258, -3, -1.1?
-258
What is the sixth smallest value in -1, -3/16, 2/7, 4695, -2/57, 0.2?
4695
What is the second smallest value in -3.2, 13.52, 15, 5, 2?
2
Which is the third biggest value? (a) 8 (b) 4 (c) -5 (d) -244330/3
c
Which is the smallest value? (a) 5 (b) 788 (c) 1/2 (d) 0.2 (e) 56.31
d
What is the third biggest value in -14, -1192386/25, -4?
-1192386/25
What is the third biggest value in 47627, -3, 27, 0.01, -0.5?
0.01
Which is the fifth smallest value? (a) -0.2 (b) -0.1 (c) 109475.5 (d) 2 (e) 0.5 (f) 1
d
Which is the third biggest value? (a) -2.3 (b) 0.06 (c) 2/5 (d) -6 (e) 4.8 (f) 4 (g) -0.05
c
What is the biggest value in 1409471, -1.19, 0.4?
1409471
Which is the biggest value? (a) 2/17 (b) 9 (c) 4 (d) -10.8 (e) -0.4
b
Which is the third smallest value? (a) 0 (b) 0.02181 (c) 7/4 (d) 0.001
b
Which is the sixth biggest value? (a) 0 (b) 2 (c) -1.2 (d) -253 (e) 0.01 (f) -3/7
d
Which is the fourth biggest value? (a) 2/5 (b) 15 (c) -0.035 (d) 4/7 (e) 3 (f) -5
a
Which is the biggest value? (a) -8 (b) 4 (c) 951/25
c
What is the fifth biggest value in 5/3, 3415/7, 4, 0.7, 56?
0.7
Which is the smallest value? (a) -5 (b) -475 (c) 0.1 (d) -3/2 (e) 2/155 (f) 4
b
Which is the fifth smallest value? (a) -4 (b) 13 (c) 1 (d) 2/27 (e) 4/3 (f) -2/119 (g) -1.4
c
Which is the sixth biggest value? (a) 0.4 (b) -5 (c) -1.5 (d) -103/2 (e) -0.028 (f) 3
d
What is the third biggest value in 0.078, -14211, 7?
-14211
What is the second biggest value in 75, -351, -0.2, 3, 1/8, -5?
3
Which is the second smallest value? (a) 347.51 (b) -0.3 (c) 0.1
c
Which is the third biggest value? (a) -0.01 (b) -4/7 (c) -0.0875678
b
What is the smallest value in 0.175, -581, 1/7, 3?
-581
What is the fifth smallest value in -2, 5, -1561, 38/5, 0.124?
38/5
What is the smallest value in -1439968, -2/7, -6?
-1439968
Which is the smallest value? (a) 23 (b) 69/4 (c) 0.5 (d) 0.2 (e) 20 (f) -2
f
What is the third smallest value in -3/14, -86, -521, 0?
-3/14
Which is the second biggest value? (a) -0.637 (b) 0.0183 (c) 4 (d) -2.2
b
Which is the third biggest value? (a) -3/8 (b) -4 (c) 3/5 (d) -0.2 (e) -164
a
What is the third smallest value in 3/5, -0.5, -2, -5, 1/5, -2504/5, -3/8?
-2
What is the biggest value in -1/9, -1824, 2, -0.5, -4, -0.28?
2
What is the biggest value in 1024, 18, -18/7?
1024
Which is the fourth biggest value? (a) 45 (b) 16913 (c) 2/5 (d) 2/23
d
Which is the second smallest value? (a) 84/5 (b) 1 (c) 40/6393
b
Which is the fourth biggest value? (a) -8/3 (b) 0.2 (c) 1028719 (d) 2/5
a
Which is the fourth smallest value? (a) -0.5 (b) 0.6 (c) 0 (d) 4 (e) 0.08563 (f) 2
b
Which is the biggest value? (a) 405 (b) -5 (c) 29621 (d) -0.03
c
Which is the fifth smallest value? (a) -5 (b) 3 (c) -2/5 (d) 5 (e) 195 (f) -5/3 (g) -84
b
What is the second smallest value in -1, -39/5, 0.1, -13, -5, 0.3?
-39/5
Which is the third smallest value? (a) 2/7 (b) 447386 (c) -4
b
Which is the sixth smallest value? (a) -63 (b) -0.4 (c) 0.3 (d) -95 (e) -0.09 (f) 1/5
c
What is the second smallest value in -0.025, -0.03, 0.5, 1.1, 124?
-0.025
Which is the third smallest value? (a) 3 (b) -73 (c) -5781159
a
What is the fifth biggest value in 3/5, -1/14, -2/17, -0.066, -2/263?
-2/17
What is the fourth biggest value in 39, 22, -2, 3, 0.5, -2/31?
0.5
Which is the fifth smallest value? (a) 1 (b) -31.6 (c) 0.1 (d) 142 (e) 5 (f) 2
e
What is the third smallest value in -45.8, 1, 335, -1, 5/4?
1
What is the fifth biggest value in 9, 1.4, 38.2, 2/21, -0.5?
-0.5
What is the fifth biggest value in -1/4, 2/9, 21/19, 105, 10/13?
-1/4
Which is the third biggest value? (a) 0.3 (b) 22 (c) -8/7 (d) -246
c
Which is the fourth biggest value? (a) -5 (b) -2/7 (c) -2856 (d) -6644
d
Which is the seventh smallest value? (a) 3.9 (b) 2/11 (c) -0.011 (d) 1 (e) -5/6 (f) -114 (g) 7/2
a
Which is the biggest value? (a) 8 (b) 0 (c) 222.8 (d) 2/7 (e) -2/11 (f) -4 (g) 1
c
Which is the third smallest value? (a) -1/2 (b) -15/8 (c) -213 (d) -2/11 (e) -0.2 (f) 0.5 (g) -3/2
g
Which is the biggest value? (a) 13/5 (b) 0.2 (c) 0.5 (d) 8.4 (e) -10 (f) 1 (g) -4
d
What is the third smallest value in -175, 11, 2221, -5?
11
What is the smallest value in 6475 | {
"pile_set_name": "DM Mathematics"
} |
tors of 1684.
2, 421
List the prime factors of 594.
2, 3, 11
List the prime factors of 1099.
7, 157
List the prime factors of 87690.
2, 3, 5, 37, 79
What are the prime factors of 6273?
3, 17, 41
List the prime factors of 2001.
3, 23, 29
What are the prime factors of 28523?
11, 2593
What are the prime factors of 7308?
2, 3, 7, 29
What are the prime factors of 70879?
70879
List the prime factors of 229.
229
What are the prime factors of 3934?
2, 7, 281
List the prime factors of 3585.
3, 5, 239
List the prime factors of 1151.
1151
List the prime factors of 2499.
3, 7, 17
What are the prime factors of 1273?
19, 67
List the prime factors of 34322.
2, 131
What are the prime factors of 1417?
13, 109
What are the prime factors of 14079?
3, 13, 19
List the prime factors of 4899.
3, 23, 71
What are the prime factors of 17470?
2, 5, 1747
What are the prime factors of 1349?
19, 71
What are the prime factors of 1760?
2, 5, 11
List the prime factors of 19648.
2, 307
What are the prime factors of 4012?
2, 17, 59
List the prime factors of 1077.
3, 359
List the prime factors of 654.
2, 3, 109
List the prime factors of 999.
3, 37
What are the prime factors of 190?
2, 5, 19
List the prime factors of 46780.
2, 5, 2339
List the prime factors of 55370.
2, 5, 7, 113
What are the prime factors of 108?
2, 3
What are the prime factors of 5828?
2, 31, 47
What are the prime factors of 8057?
7, 1151
List the prime factors of 4974.
2, 3, 829
What are the prime factors of 943?
23, 41
What are the prime factors of 3264?
2, 3, 17
What are the prime factors of 455?
5, 7, 13
What are the prime factors of 1380?
2, 3, 5, 23
List the prime factors of 3707.
11, 337
List the prime factors of 1008.
2, 3, 7
List the prime factors of 1208.
2, 151
List the prime factors of 41839.
7, 43, 139
List the prime factors of 554.
2, 277
What are the prime factors of 13073?
17, 769
List the prime factors of 65133.
3, 7237
What are the prime factors of 22313?
53, 421
List the prime factors of 75774.
2, 3, 73, 173
What are the prime factors of 1533?
3, 7, 73
List the prime factors of 758.
2, 379
List the prime factors of 15194.
2, 71, 107
List the prime factors of 17282.
2, 8641
List the prime factors of 134.
2, 67
List the prime factors of 2469.
3, 823
What are the prime factors of 24834?
2, 3, 4139
List the prime factors of 5320.
2, 5, 7, 19
What are the prime factors of 23760?
2, 3, 5, 11
What are the prime factors of 23730?
2, 3, 5, 7, 113
List the prime factors of 34714.
2, 17, 1021
List the prime factors of 27521.
13, 29, 73
List the prime factors of 62344.
2, 7793
What are the prime factors of 52314?
2, 3, 8719
What are the prime factors of 3469?
3469
What are the prime factors of 4062?
2, 3, 677
List the prime factors of 3395.
5, 7, 97
What are the prime factors of 837?
3, 31
List the prime factors of 1650.
2, 3, 5, 11
What are the prime factors of 7983?
3, 887
What are the prime factors of 2731?
2731
List the prime factors of 3771.
3, 419
List the prime factors of 91.
7, 13
What are the prime factors of 21090?
2, 3, 5, 19, 37
List the prime factors of 2202.
2, 3, 367
List the prime factors of 679.
7, 97
List the prime factors of 13233.
3, 11, 401
What are the prime factors of 9536?
2, 149
List the prime factors of 1457.
31, 47
List the prime factors of 1768.
2, 13, 17
List the prime factors of 237.
3, 79
List the prime factors of 213.
3, 71
List the prime factors of 2156.
2, 7, 11
What are the prime factors of 3777?
3, 1259
List the prime factors of 27857.
89, 313
What are the prime factors of 3891?
3, 1297
List the prime factors of 15687.
3, 7, 83
What are the prime factors of 303?
3, 101
What are the prime factors of 59770?
2, 5, 43, 139
What are the prime factors of 59041?
17, 23, 151
What are the prime factors of 19128?
2, 3, 797
What are the prime factors of 496?
2, 31
What are the prime factors of 1092?
2, 3, 7, 13
What are the prime factors of 1096?
2, 137
List the prime factors of 52806.
2, 3, 13, 677
What are the prime factors of 1305?
3, 5, 29
List the prime factors of 4292.
2, 29, 37
List the prime factors of 4496.
2, 281
List the prime factors of 1632.
2, 3, 17
List the prime factors of 797.
797
What are the prime factors of 1134?
2, 3, 7
What are the prime factors of 15893?
23, 691
What are the prime factors of 2039?
2039
List the prime factors of 153.
3, 17
List the prime factors of 23750.
2, 5, 19
What are the prime factors of 6838?
2, 13, 263
What are the prime factors of 6059?
73, 83
List the prime factors of 641.
641
List the prime factors of 1095.
3, 5, 73
What are the prime factors of 45264?
2, 3, 23, 41
What are the prime factors of 1216?
2, 19
What are the prime factors of 6797?
7, 971
List the prime factors of 2169.
3, 241
List the prime factors of 65094.
2, 3, 19, 571
What are the prime factors of 12469?
37, 337
What are the prime factors of 6101?
6101
What are the prime factors of 412?
2, 103
What are the prime factors of 12699?
3, 17, 83
What are the prime factors of 3678?
2, 3, 613
What are the prime factors of 696?
2, 3, 29
List the prime factors of 786.
2, 3, 131
What are the prime factors of 12017?
61, 197
List the prime factors of 571.
571
What are the prime factors of 149468?
2, 11, 43, 79
List the prime factors of 9732.
2, 3, 811
What are the prime factors of 3666?
2, 3, 13, 47
What are the prime factors of 1450?
2, 5, 29
List the prime factors of 20.
2, 5
What are the prime factors of 251?
251
What are the prime factors of 13400?
2, 5, 67
What are the prime factors of 21229?
13, 23, 71
What are the prime factors of 2635?
5, 17, 31
List the prime factors of 1229.
1229
List the prime factors of 11008.
2, 43
What are the prime factors of 2014?
2, 19, 53
List the prime factors of 107.
107
What are the prime factors of 687?
3, 229
What are the prime factors of 5532?
2, 3, 461
List the prime factors of 3639.
3, 1213
List the prime factors of 309.
3, 103
What are the prime factors of 43300?
2, 5, 433
What are the prime factors of 27371?
101, 271
List the prime factors of 7287.
3, 7, 347
List the prime factors of 5692.
2, 1423
List the prime factors of 2361.
3, 787
List the prime factors of 18348.
2, 3, 11, 139
List the prime factors of 7803.
3, 17
What are the prime factors of 15725?
5, 17, 37
List the prime factors of 76831.
76831
What are the prime factors of 450?
2, 3, 5
List the prime factors of 191.
191
List the prime factors of 551.
19, 29
What are the prime factors of 305?
5, 61
List the prime factors of 9787.
9787
List the prime factors of 35502.
2, 3, 61, 97
List the prime factors of 47817.
3, 7, 11, 23
What are the prime factors of 129552?
2, 3, 2699
List the prime factors of 33853.
97, 349
List the prime factors of 454.
2, 227
What are the prime factors of 6080?
2, 5, 19
List the prime factors of 558.
2, 3, 31
List the prime factors of 2082.
2, 3, 347
What are the prime factors of 86830?
2, 5, 19, 457
What are the prime factors of 6514?
2, 3257
List the prime factors of 12112.
2, 757
List the prime factors of 8571.
3, 2857
What are the prime factors of 152189?
152189
What are the prime factors of 1006?
2, 503
What are the prime factors of 1179?
3, 131
List the prime factors of 13110.
2, 3, 5, 19, 23
List the prime factors of 30188.
2, 7547
List the prime factors of 475.
5, 19
List the prime factors of 40790.
2, 5, 4079
What are the prime factors of 17052?
2, 3, 7, 29
List the prime factors of 99917.
41, 2437
What are the prime factors of 74068?
2, 18517
What are the prime factors of 29845?
5, 47, 127
What are the prime factors of 1044?
2, 3, 29
What are the prime factors of 7510?
2, 5, 751
What are the prime factors of 38177?
38177
What are the prime factors of 9874?
2, 4937
List the prime factors of 35759.
35759
What are the prime factors of 637?
7, 13
What are the prime factors of 11293?
23, 491
List the prime factors of 137020.
2, 5, 13, 17, 31
What are the prime factors of 12003?
3, 4001
List the prime factors of 3127.
53, 59
What are the prime factors of 52862?
2, 26431
What are the prime factors of 69077?
67, 1031
List the prime factors of 2715.
3, 5, 181
What are the prime factors of 7606?
2, 3803
List the prime factors of 6434.
2, 3217
List the prime factors of 16590.
2, 3, 5, 7, 79
List the prime factors of 2943.
3, 109
List the prime fac | {
"pile_set_name": "DM Mathematics"
} |
True
Let b(h) = 9*h**2 - 61*h + 14. Is 61 a factor of b(16)?
True
Let h(w) = 29*w**3 - 12 + w - 5 - 10*w**3 - 17*w**3 - 10*w**2. Is h(7) a multiple of 39?
False
Is 14 a factor of ((-6)/9 - 1/(-6))*-514?
False
Let z = 708 - 426. Suppose 4*w = w + z. Does 19 divide w?
False
Is 10 a factor of (1356 - (1 - 0)) + -5?
True
Let z(r) = -16*r + 11 + r**3 - r**3 + r**3 + 10*r**2 + 4*r**2. Is z(-15) even?
True
Let h = 17 - -534. Is 26 a factor of h?
False
Let v = 66 + -66. Suppose v*s = 7*s - 1519. Is s a multiple of 49?
False
Suppose 3*s = 5*b + 33, 4*b - 4*s = s - 16. Let w(a) be the first derivative of a**3/3 + 3*a**2 - 19*a - 103. Is w(b) a multiple of 8?
True
Suppose -5*l + 22 = -5*w + 167, 0 = 2*w + 2. Let v = -320 + 249. Let n = l - v. Is 20 a factor of n?
False
Let z = 120 + -64. Suppose 3*h = -2*m - 55, 3*m + 14 = -2*h - z. Is 2 - m - (3 + -1) a multiple of 11?
False
Let d = 27 + -2. Suppose 3*h - 24 - 7 = 2*s, 3*s = -2*h + d. Is 2 a factor of h?
False
Is 14 a factor of 223 - (64/(-72) + 2/(-18))?
True
Let x = -118 + 198. Is x a multiple of 9?
False
Suppose 3*g - 6819 = -4*b, 0*b + 4539 = 2*g + 5*b. Does 11 divide g?
True
Let q(n) = 3*n - 2. Let v(t) = 2*t - 2. Let p(c) = 5*q(c) - 4*v(c). Is 34 a factor of p(10)?
True
Is (-5462)/(-10) - (88/55)/8 a multiple of 39?
True
Is 5 + (6243/(-12)*-4 - 1) a multiple of 15?
True
Let c(o) = -139*o - 230. Does 49 divide c(-8)?
True
Suppose 0 = 66*h - 65*h + 6624. Does 12 divide (-2)/(-7) - (2 + h/42)?
True
Let f = -65 + 37. Does 6 divide 6/8 - 651/f?
True
Is 12 a factor of (-5)/4*(-288)/21*21?
True
Suppose -2 = -2*a + 10. Let l(k) = -a + 2*k**2 + 14*k + 8 - 7 - 5*k. Does 6 divide l(-7)?
True
Suppose 38 = -4*m - 2*u, -m - 2*u - 20 = 2*u. Let p = -68 - -40. Let y = m - p. Is y a multiple of 8?
False
Let q be 4/(-16) - (-17)/4. Let r(z) = 2*z**2 - 5*z + 3. Is r(q) a multiple of 15?
True
Suppose -2*t = 4*r - 2*r - 10, 4*t = -3*r + 17. Let y(n) = 5*n + 7*n**r - 6*n**3 + 7 + 3*n**2 + 0*n**3 - 9*n**2. Does 15 divide y(6)?
False
Let s(n) = -n + 7. Suppose -3*d - 2*d - 10 = 0, -4*g + 4*d = 8. Does 11 divide s(g)?
True
Let v(o) = o**2 - 5*o + 6. Let q be v(3). Suppose 0 = -2*t - 2*t + 3*p + 853, 4*t - 5*p - 843 = q. Is t a multiple of 32?
False
Let h(j) = -2*j**3 - 5*j**2 + 18*j - 1. Does 43 divide h(-8)?
True
Suppose -5*i + 434 = -3*o - 289, -2 = 2*o. Is i a multiple of 16?
True
Suppose -4*n - 2*k = 3*k - 10, 0 = -5*n + 3*k + 31. Suppose -3*q = l - n*q + 2, 2*l + 4*q = -28. Does 8 divide (l - 1)/((-3)/12)?
False
Is (-69156)/226*5/(-2) a multiple of 9?
True
Suppose -5*a + 2*a - 5*i = -2447, -4*a + 3257 = i. Is a a multiple of 74?
True
Let w(k) = -k. Let i(h) = -2 - 2*h - 6 + 12. Let d(y) = i(y) - 3*w(y). Is 5 a factor of d(11)?
True
Let b = 73 + 107. Does 25 divide b?
False
Suppose -3*k = -371 - 1390. Is 28 a factor of k?
False
Let z(t) = 19 + 0*t - t + 4*t**2 - 3*t**2. Let x(b) = -b**3 + 17*b**2 - 31*b + 15. Let v be x(15). Is 19 a factor of z(v)?
True
Let a be (-255)/34*(-2)/3. Let v(w) = 2*w**2 - 5 + 3 - 4 - 4*w. Is 24 a factor of v(a)?
True
Let f be ((-2)/5 + 27/30)*206. Let y = f + 11. Is y a multiple of 38?
True
Suppose -216 = -2*p + 3*v - v, -p + 123 = 4*v. Does 5 divide p?
False
Suppose 3*c - 730 = 4*v, 2*v + 728 = 3*c - 3*v. Is c a multiple of 68?
False
Let j = -165 - -324. Suppose 5*c + 36 = -j. Let x = -19 - c. Is 10 a factor of x?
True
Let h = 123 - 52. Does 21 divide h + 4 + 6*2/(-4)?
False
Let a(o) = -o**3 + 7*o**2 - 10*o - 23. Let i be a(6). Let s = -9 - i. Is 19 a factor of s?
True
Let t be -3*(16/(-3) + 4). Suppose 13*o = 14*o - t. Does 5 divide 0 + 25 + 1 - o?
False
Let u = 155 + -35. Is 2 a factor of u?
True
Suppose 10633 = 3*y + 11*a - 13*a, -4*y = -2*a - 14176. Is y a multiple of 17?
False
Let x be (-3 - (4 - 259)) + 0. Suppose x = -10*z + 14*z. Is 7 a factor of z?
True
Let c(k) = -4*k + 20. Let i be c(11). Let v = 41 + i. Does 17 divide v?
True
Let t be (-10)/((-21)/(-6) + -4). Suppose 3*y - t = -2*y. Suppose -y*a = -2*a - 10. Is 4 a factor of a?
False
Suppose -4*k + 16 = 0, 16*j - 20*j - 3*k + 860 = 0. Is 106 a factor of j?
True
Let i(j) = -j**3 - 13*j**2 - 16*j + 5. Let c be i(-8). Is c/(-1) + (-3)/((-3)/(-3)) a multiple of 46?
True
Let l(s) = 4*s**2 - 13*s + 31. Let r be l(7). Let m = r + -58. Does 21 divide m?
False
Suppose -14*a - 27616 = -46*a. Is a a multiple of 12?
False
Suppose -5*a + 723 = 2863. Let x = -1003 - a. Is 17 a factor of x/(-5)*(-6)/(-15)?
False
Let u(n) = 13*n + 3. Let i be u(1). Let d = -16 + i. Is (-6 - -13) + (-3 - d) even?
True
Suppose -2*u - 196 = -976. Is 16 a factor of (-52)/u - (-964)/30?
True
Let z(f) = 20*f**2 - 417*f - 11. Is z(21) a multiple of 7?
False
Let w = 3281 - 1763. Is w a multiple of 35?
False
Let z = -1270 - -1987. Is z a multiple of 40?
False
Let f = 169 - 73. Suppose -3*r + f = -0*r. Is 16 a factor of r?
True
Suppose -2*o + 6 + 0 = 0. Does 5 divide 1 - (o + -1 - 11)?
True
Suppose 3*f = -p + 2414, -8*p = -4*p - 5*f - 9673. Is p a multiple of 28?
False
Let q = -61 + 61. Let x = 9 + -4. Suppose x*b - 3*b - 56 = q. Does 14 divide b?
True
Does 32 divide 2*8935/7 - 210/245?
False
Let o(d) be the second derivative of -4*d**3/3 - 3*d**2 - d. Suppose j + 12 = 2*b - 7, 5*j + 4*b = -25. Is 33 a factor of o(j)?
True
Suppose 4913 = 10*l - 19327. Is l a multiple of 12?
True
Let o(d) = d**2 + 5*d - 10. Suppose 4*u - 4*r = -72, 0*u - 2*r - 24 = u. Let a = u - -11. Is o(a) a multiple of 7?
False
Suppose -2*b + b - z = -1, -4*b - 3*z = -9. Let w(x) be the third derivative of -x**6/120 + 2*x**5/15 - 5*x**4/24 + x**3/3 + 2*x**2. Does 22 divide w(b)?
True
Let k(b) be the first derivative of -b**3/3 - 17*b**2/2 + 18*b + 4. Is k(-11) a multiple of 25?
False
Suppose -170 = a - 476. Does 51 divide a?
True
Let z be (58 - 14)/(2/2). Is (-2)/(0 + (-2)/z) a multiple of 11?
True
Suppose 2*m = -5*u + 164, 4*u + 5*m = -58 + 179. Let q(w) = -w**2 + 4*w - 2. Let j be q(7). Let z = u + j. Does 7 divide z?
False
Suppose o = 2*m - 1, -2*m + 2*o + 9 = 7. Let x(u) = 8 + 1 + 10 - u**3. Is x(m) a multiple of 19?
True
Suppose 0 = i + t + 41, 7*i - t + 143 = 4*i. Let l = -11 - i. Is 35 a factor of l?
True
Suppose 44*l - 320 = 8920. Is l a multiple of 5?
True
Suppose 15*g - 7626 = -501. Is g a multiple of 13?
False
Let r(c) = c**3 + 10*c**2 + c + 10. Let i be r(-10). Let v(m) = m**2 - 4*m + 8. Let q be v(6). Suppose i*j - 2*j + q = 3*n, -2 = -n - 3*j. Does 4 divide n?
True
Let u = -1 - -5. Suppose 5*q - q + 2*o - 220 = 0, -5*q - u*o + 278 = 0. Suppose q - 18 = 2*x + 4*h, 4*x - 5*h = 7. Is 4 a factor of x?
True
Let r(o) = 4*o**2 - 2*o - 26. Is 21 a factor of r(8)?
False
Let t(a) = a**2 + 10*a + 3. Let h be t(-10). Suppose 2*w = 2*u - h*u + 90, -2*u = -8. Does 13 divide w?
False
Suppose -7*s - 139 = -8*s - c, c + 281 = 2*s. Let t = s - 64. Is 17 a factor of t?
False
Suppose -47*x = -53*x + 78. Is x a multiple of 9?
False
Let j = -17 - -21. Suppose 5*x + 18 = -5*i - 7, -3*x + j*i + 20 = 0. Suppose x = 3*u - u - 40. Does 4 divide u?
True
Let m = 1020 + -606. Is 18 a factor of m?
True
Let l = -8 - 0. Let b be l/8*194/(-2). Suppose -3*y + b + 62 = 3*r, r - 2*y = 41. Does 19 divide r?
False
Let r(o) = o**3 - 6*o**2 - 8*o + 1. Let z be r(7). Let j be 20/z*15/(-10). Is (19/2)/(j/10) a multiple of 7?
False
Let h = 4119 - 2589. Is 17 a factor of h?
True
Let v(h) = h**3 - 6*h**2 + 12*h - 13. Let n be v(4). Suppose -124 = -n*k + 200. Is 18 a factor of k?
True
Suppose 0 = -2*t + 6*t - 40. Is 4 a factor of t/(-1 - 0)*(-154)/55?
True
Let m(v) = 15*v**2 - v + 2. Suppose 5*t + 8 = 4*a, -5*t - 19 - 1 = 0. Let w(y) = -y - 1. Let p be w(a). Is m(p) a multiple of 20?
True
Let k(a) = -6*a - 12. Let i(n) = -6*n - 11. Let q(o) = 6*i(o) - 5*k(o). Let w(s) = -3*s**2 - 2*s + 2. Let m be w(1). Is q(m) a multiple of 2?
True
Suppose -5*i = -4*i - 4*s + 18, -2*s = 3*i - 16. Suppose -2*a - 17 = 4*w + a, -i*w - 3*a - 13 = 0. Does 2 divide w + (-4 + 22)/2?
False
Suppose 25 + 0 = -5*n. Let c be ((-159)/(-6))/(n/(-10)). Let x = c + -4. Does 15 divide x?
False
Suppose 221 = 2*z + 5*t, -t = 2*z - 152 - 65. Is z a multiple of 27?
True
Suppose v = -i + 2468, -v - 5*i = -8*i - 2476. Is 10 a factor of v?
True
Let q(j) = -11*j + 2. Let d be q(-2). Let m = 13 + d. Does 15 divide m?
False
Is 1500/60*2412/15 a multiple of 11?
False
Le | {
"pile_set_name": "DM Mathematics"
} |
qrt(4)*-2).
-4 + 2*sqrt(19)
Simplify -5 + -3*(-6*(sqrt(102) + (sqrt(102) - (sqrt(102)*3 + sqrt(102))) + sqrt(102)))/(sqrt(48)/(-1*sqrt(8))).
-5 + 18*sqrt(17)
Simplify (0 + sqrt(567) + 5 - (sqrt(28) + 0 + 5)**2)*-5 + -2.
55*sqrt(7) + 238
Simplify ((sqrt(6480)*-1 - (-1*sqrt(3645) + sqrt(45)))/(5*sqrt(27)/sqrt(3)*-6))**2 + -3.
-131/45
Simplify -2*(1*sqrt(2))**2 + (sqrt(50) - sqrt(450))**2 - (4 + 1*sqrt(2) + 2).
-sqrt(2) + 190
Simplify (sqrt(567) + -1 - sqrt(567))**2*-6 + -2 + (sqrt(567) + 0)**2 + 2 + sqrt(49)/(sqrt(700)*-1).
-sqrt(7)/10 + 561
Simplify (((-1*sqrt(3264) - sqrt(3264) - sqrt(3264))*6)/(sqrt(240)/sqrt(5) + (sqrt(3) + sqrt(3)*-1)*-1))**2.
22032
Simplify (3*(sqrt(17) + -1 + -3) + -1)**2 + (sqrt(425)*1)**2 + 1 + -1.
-78*sqrt(17) + 747
Simplify -2*sqrt(8)/(-6*-2*sqrt(4)) + (sqrt(60)/(sqrt(30)/sqrt(3)))/(sqrt(54)/sqrt(2)).
sqrt(2)/6
Simplify -3*sqrt(19)*-2 - (sqrt(19) - (sqrt(76) - sqrt(76)*3)/sqrt(4)) - (0 + -3*sqrt(475)*1).
18*sqrt(19)
Simplify (-3 + -4*(sqrt(108) + 4) + 0 + sqrt(768) + 0)**2.
304*sqrt(3) + 553
Simplify ((-3*(-4*(2 + sqrt(468)) + sqrt(468)) + -2)*-4 + -3)**2.
39312*sqrt(13) + 614809
Simplify 1*((sqrt(1377) - (sqrt(1377) + -2*(sqrt(1377) + 0)))**2 + -5 + (-1 + sqrt(1377))**2).
-18*sqrt(17) + 6881
Simplify 3*((sqrt(80) + (sqrt(80) - (sqrt(80) + 0 - sqrt(80))*3) + sqrt(80) - sqrt(80)) + sqrt(80) + -1 + sqrt(80) + 0)**2*5.
-480*sqrt(5) + 19215
Simplify (sqrt(144)/(sqrt(147) + 4*sqrt(147) - sqrt(3)))**2*1.
12/289
Simplify 4*(5 + (sqrt(98) - (2 + 1*sqrt(98) + sqrt(98))**2 - -5*(-1 + sqrt(98))**2)) + 1.
-476*sqrt(2) + 417
Simplify (sqrt(972)*1 - sqrt(972))/(sqrt(441)*2).
0
Simplify (sqrt(33)/(sqrt(30)/(sqrt(10) + sqrt(20)/sqrt(2) - sqrt(10)))*-3)**2 + -1.
98
Simplify ((sqrt(78) + -4*(sqrt(78)*-3 + sqrt(78)))*-6)/((sqrt(90)/sqrt(5))/sqrt(3)*-3).
18*sqrt(13)
Simplify (((2*sqrt(33) - sqrt(33))*-5 - sqrt(33)) + (1*sqrt(363))/sqrt(11))/(3*(sqrt(3) + (sqrt(3) - (sqrt(3) + (sqrt(3) - (2*sqrt(3) + sqrt(3)))))*-1)).
5*sqrt(11)/3
Simplify (4*(-4 + -2*sqrt(539)) - ((3 + sqrt(539) + 0 + sqrt(539) - sqrt(539)) + 2))**2.
2646*sqrt(11) + 44100
Simplify (sqrt(208) - (0 + sqrt(208)*1))**2 - (sqrt(104)/((sqrt(32)/sqrt(4) - sqrt(8)) + sqrt(8)) + (sqrt(832)*1)**2).
-832 - sqrt(13)
Simplify 1*2*sqrt(6)/sqrt(3)*-2*-3.
12*sqrt(2)
Simplify -1*(sqrt(13) + 0) + -4 + sqrt(52)/sqrt(4) + ((0 + sqrt(832))*4)**2.
13308
Simplify sqrt(80) + 3 + 2 - (((-3*sqrt(140) - sqrt(140)) + sqrt(140))/sqrt(4))/sqrt(7).
5 + 7*sqrt(5)
Simplify ((sqrt(72)*2)/sqrt(6))/(sqrt(4) - (4*sqrt(4)*1 + sqrt(4))) - (sqrt(288)/sqrt(6) + sqrt(540)/sqrt(5))**2.
-300 - sqrt(3)/2
Simplify (sqrt(52)*-2*-1 - ((sqrt(208) - 1*sqrt(208)) + sqrt(208) + -5))**2.
25
Simplify sqrt(192)*-3 - sqrt(108)/sqrt(4) - (2 + (((sqrt(75) + -1)*6 - sqrt(75)) + sqrt(75))**2).
-2738 + 333*sqrt(3)
Simplify 5*(sqrt(117) - -4*-1*sqrt(117) - (sqrt(117) + (sqrt(117) + 0 + sqrt(117))*-6 + sqrt(117))**2) + -3.
-58503 - 45*sqrt(13)
Simplify -5*-1*((-2*-1*sqrt(180))**2 + (sqrt(180) - 2*sqrt(180))**2*6) + -5.
8995
Simplify ((sqrt(360)/sqrt(9))/sqrt(2))/(sqrt(40)/sqrt(144)).
6*sqrt(2)
Simplify (1*2*sqrt(65) + sqrt(65))/(sqrt(720)*-2 + sqrt(720)).
-sqrt(13)/4
Simplify 5 + sqrt(3200) + sqrt(3200) + -1 + 4.
8 + 80*sqrt(2)
Simplify (sqrt(3078) - (sqrt(3078) + 1*sqrt(3078))*2)/(5*sqrt(32) - sqrt(200)/sqrt(4)).
-9*sqrt(19)/5
Simplify (((sqrt(612) + 1*sqrt(612) - sqrt(612) - sqrt(612)) + 5 - (-5 + -2 + sqrt(612))) + 1)**2.
-156*sqrt(17) + 781
Simplify (-1*(sqrt(136) + sqrt(136) + 2*sqrt(136)) - (5*(2*sqrt(136) + sqrt(136)) + sqrt(136) - sqrt(136) - sqrt(136)))/(sqrt(128)*-2*-4).
-9*sqrt(17)/16
Simplify 1*((1 + sqrt(5) - sqrt(5)) + -2 + 2 + sqrt(10)/sqrt(8)*-3)**2.
-3*sqrt(5) + 49/4
Simplify ((sqrt(544) - (sqrt(544) + sqrt(544)*3) - sqrt(544)) + sqrt(544))/(-4*sqrt(4)/sqrt(2) + sqrt(2)).
4*sqrt(17)
Simplify (sqrt(96)/(sqrt(48)/sqrt(4)) + 1*sqrt(512))/((-6*sqrt(128) - sqrt(32))/sqrt(8)) + -1.
-1 - 9*sqrt(2)/13
Simplify -4 + -5*((sqrt(425)*-1 + -2 + (-4 + -1 + sqrt(425) + sqrt(425) + sqrt(425) - sqrt(425)))*-6)**2.
-85324 + 12600*sqrt(17)
Simplify 1*-1*(-5 + -1 + sqrt(176))**2*-4.
-192*sqrt(11) + 848
Simplify -2*(2*(sqrt(343) + sqrt(343)*-1 - sqrt(343)) - (-2*sqrt(847) + 1)).
-16*sqrt(7) + 2
Simplify (4*(sqrt(19) + 1) - (-1 + sqrt(475)))**2 - ((-3*sqrt(76)*-5 - sqrt(76))/sqrt(4))**2.
-3680 - 10*sqrt(19)
Simplify 5*(3 + sqrt(80)) + (sqrt(5) - sqrt(80)*2 - (4 + sqrt(20)/sqrt(4))).
11 + 12*sqrt(5)
Simplify (((1*sqrt(76) - sqrt(76))/sqrt(4) + (sqrt(228) + sqrt(228)*-1)/sqrt(12))**2 - -3*sqrt(76)/sqrt(4)*-3)*-1*4.
36*sqrt(19)
Simplify (3 + (sqrt(441)*-2)/(-5*sqrt(112)))**2.
9*sqrt(7)/5 + 963/100
Simplify 3 + ((-4*sqrt(208)*-1 - sqrt(208))**2 + 5 - (3 + sqrt(208) + 0 - (-4 + 1 + sqrt(208)))).
1874
Simplify -1 + (((sqrt(637) - (-1 + sqrt(637)))*-1 + sqrt(637))**2 - sqrt(637)) + ((1*sqrt(637) - sqrt(637))**2*2 - sqrt(637)) + -5.
-28*sqrt(13) + 632
Simplify 1*(sqrt(14)/(sqrt(21)/sqrt(27)) + -3 + sqrt(2) + sqrt(22)/(sqrt(11) + sqrt(22)/sqrt(2)))*6.
-18 + 27*sqrt(2)
Simplify (0 + -3 + (1 + sqrt(1377))*-4 + sqrt(1377)*1*5)**2.
-126*sqrt(17) + 1426
Simplify ((sqrt(152) - (2*sqrt(152) + sqrt(152) - sqrt(152)))*3 + (sqrt(152) - (1*sqrt(152)*1 - sqrt(152))))/(-4*2*sqrt(128) - sqrt(128))*1.
sqrt(19)/18
Simplify (5 + (-4 + sqrt(272) + sqrt(272) - sqrt(272)) - sqrt(272))**2 - -3*(sqrt(272) + (3*sqrt(272))**2).
12*sqrt(17) + 7345
Simplify (0 + sqrt(931))**2*-1 + sqrt(304) + (sqrt(304) - (sqrt(304)*-2)**2) + sqrt(304) + 5.
-2142 + 12*sqrt(19)
Simplify (2 + (sqrt(153) + sqrt(153) + -2 + -2)*2)**2.
-144*sqrt(17) + 2484
Simplify (-1*sqrt(833)*5 + -2*sqrt(833) + 2)**2.
-196*sqrt(17) + 40821
Simplify (0 + -3*(sqrt(567) + sqrt(567)*-2*1) + -2)**2.
-108*sqrt(7) + 5107
Simplify (sqrt(1936)*-1*-2)/((sqrt(4840) + 2*sqrt(4840))/sqrt(5)).
2*sqrt(2)/3
Simplify sqrt(18)/(sqrt(150) - sqrt(6)) + -5 + 2 + sqrt(432) + 1.
-2 + 49*sqrt(3)/4
Simplify -4 + (sqrt(1008) + 5 + 2*sqrt(1008) + sqrt(1008)*1 + 3 + 5*sqrt(1008)*1 + -3 + sqrt(1008)*-2)**2.
840*sqrt(7) + 49413
Simplify -2*(5 + sqrt(475) - sqrt(475))**2 + (sqrt(57)/(-5*sqrt(432)))**2.
-179981/3600
Simplify (-2*1*sqrt(200) + 2)**2*-3.
-2412 + 240*sqrt(2)
Simplify ((5*(sqrt(119) + 1*(sqrt(119) - (sqrt(119) + 1*sqrt(119)))))/(-4*sqrt(343)*-2))**2.
0
Simplify -4*((-2 + (1*sqrt(1900))**2)*6 - ((sqrt(1900) - ((sqrt(1900) + 1 + sqrt(1900) + sqrt(1900) + -3)**2 - sqrt(1900))) + -3)).
-113980 + 560*sqrt(19)
Simplify -5*-5*(sqrt(297)/(sqrt(36)/sqrt(4)))/(-1*sqrt(88)/sqrt(8)).
-25*sqrt(3)
Simplify (1 + sqrt(20)/(sqrt(12)/sqrt(3)) + 0)*3.
3 + 3*sqrt(5)
Simplify (-1*sqrt(18)*-6*4)/(sqrt(600) - (sqrt(600) - sqrt(600)*-2*6)).
-sqrt(3)/5
Simplify ((sqrt(684) + -1*sqrt(684) + 0)*5*-6*-6*-2)**2.
0
Simplify (5*(sqrt(133)/sqrt(7)*-2 + sqrt(19) + sqrt(1539) + 2 + sqrt(1539) + sqrt(1539)))**2.
2600*sqrt(19) + 321200
Simplify (-2*sqrt(228)*-1)/(sqrt(432)*2) + (-4 + sqrt(19) + 2 - (-2 + sqrt(19) + -1 + sqrt(19)))**2.
-11*sqrt(19)/6 + 20
Simplify (-3*(sqrt(66)*-1*1 + sqrt(66) - sqrt(66)))/(sqrt(18)/sqrt(27) - (sqrt(294) - sqrt(294)*2)).
9*sqrt(11)/22
Simplify (((sqrt(420) + (sqrt(420) - sqrt(420)*-2))/sqrt(7))/sqrt(5))/(sqrt(48)/(sqrt(12) + sqrt(120)/sqrt(90))).
16*sqrt(3)/3
Simplify ((sqrt(208)/(sqrt(8)/sqrt(2)))/((sqrt(16)*-2)/sqrt(4)))**2.
13/4
Simplify (1*sqrt(3025) + sqrt(3025) - -4*sqrt(400))/(sqrt(240)/sqrt(12) - (sqrt(5) - -1*-1*sqrt(5))).
19*sqrt(5)
Simplify (sqrt(24)/sqrt(4)*2 + sqrt(48)/(sqrt(8)*-2))/(sqrt(400)/sqrt(128)).
6*sqrt(3)/5
Simplify ((0 + (sqrt(637) - (sqrt(637)*2 - sqrt(637))))*1 + (-1*sqrt(637) + 2 - (1 + -1*sqrt(637))))**2.
1
Simplify sqrt(605) + 5 + sqrt(605) + (sqrt(605)*2)**2 + (-2 + 3 + sqrt(605))**2.
44*sqrt(5) + 3031
Simplify (-5*(sqrt(1539) + -2*sqrt(1539) + 3 + (0 + sqrt(1539))*-4) + 1)**2.
-6300*sqrt(19) + 962071
Simplify (2*(-1 + sqrt(19) + 3 + (sqrt(171)*3 - sqrt(171) - sqrt(171))/sqrt(9))*4)**2.
512*sqrt(19) + 5120
Simplify (sqrt(847) + 2 - (sqrt(7)*1 - sqrt(7))*6) + -2.
11*sqrt(7)
Simplify 0 + (sqrt(336) + (sqrt(336) - (sqrt(336) + (sqrt(336) - 1*sqrt(336)))*-5) + sqrt(336))/(1*sqrt(7)*4)*3.
24*sqrt(3)
Simplify (-5*(1 + 4*(sqrt(425) - sqrt(425)*2) + sqrt(425)))**2.
-750*sqrt(17) + 95650
Simplify -2*(sqrt(450) - ((sqrt(450) - 5*(sqrt(450) - (sqrt(450) + sqrt(450)*1))) + sqrt(450)))/(sqrt(90)*3).
4*sqrt( | {
"pile_set_name": "DM Mathematics"
} |
658
What is the b'th term of -34, -35, -40, -43, -38, -19?
b**3 - 8*b**2 + 16*b - 43
What is the h'th term of -1691, -3375, -5045, -6695, -8319, -9911, -11465?
h**3 + h**2 - 1694*h + 1
What is the u'th term of 5110415, 5110419, 5110425, 5110433, 5110443, 5110455?
u**2 + u + 5110413
What is the j'th term of 2420, 9652, 21708, 38588, 60292?
2412*j**2 - 4*j + 12
What is the z'th term of -301, -2500, -8461, -20062, -39181, -67696, -107485?
-313*z**3 - 3*z**2 + z + 14
What is the m'th term of 83, 151, 209, 257, 295, 323, 341?
-5*m**2 + 83*m + 5
What is the k'th term of 555, 1115, 1677, 2241, 2807?
k**2 + 557*k - 3
What is the f'th term of -50, -212, -488, -878, -1382?
-57*f**2 + 9*f - 2
What is the d'th term of 34, -211, -816, -1961, -3826, -6591, -10436, -15541?
-30*d**3 - 35*d + 99
What is the q'th term of -1460, -4261, -8938, -15497, -23944, -34285, -46526?
-q**3 - 932*q**2 + 2*q - 529
What is the h'th term of -135, -235, -391, -603, -871, -1195?
-28*h**2 - 16*h - 91
What is the f'th term of -88, -316, -910, -2044, -3892, -6628, -10426, -15460?
-29*f**3 - 9*f**2 + 2*f - 52
What is the c'th term of -257, -461, -665, -869, -1073?
-204*c - 53
What is the a'th term of 56, 79, 74, 41, -20?
-14*a**2 + 65*a + 5
What is the m'th term of -816, -788, -776, -786, -824, -896?
-m**3 - 2*m**2 + 41*m - 854
What is the n'th term of 596, 1267, 1926, 2573, 3208, 3831, 4442?
-6*n**2 + 689*n - 87
What is the o'th term of 591, 645, 699, 753?
54*o + 537
What is the d'th term of -4121, -8383, -12647, -16913, -21181?
-d**2 - 4259*d + 139
What is the b'th term of -215, -249, -299, -371, -471, -605, -779?
-b**3 - 2*b**2 - 21*b - 191
What is the w'th term of 73, 197, 405, 697, 1073, 1533, 2077?
42*w**2 - 2*w + 33
What is the y'th term of -45473, -45475, -45479, -45485?
-y**2 + y - 45473
What is the m'th term of 5189, 9695, 14201, 18707, 23213, 27719?
4506*m + 683
What is the u'th term of -54, -86, -90, -54, 34, 186, 414?
2*u**3 + 2*u**2 - 52*u - 6
What is the q'th term of 15, -142, -405, -774, -1249, -1830?
-53*q**2 + 2*q + 66
What is the w'th term of 2738, 5315, 7892?
2577*w + 161
What is the a'th term of 262, 1436, 3384, 6100, 9578, 13812, 18796?
-a**3 + 393*a**2 + 2*a - 132
What is the d'th term of -295, -1145, -2557, -4525, -7043, -10105?
d**3 - 287*d**2 + 4*d - 13
What is the y'th term of 89, 357, 793, 1391, 2145, 3049?
-y**3 + 90*y**2 + 5*y - 5
What is the q'th term of 906, 1822, 2732, 3636, 4534, 5426?
-3*q**2 + 925*q - 16
What is the g'th term of -572, -1145, -1708, -2255, -2780, -3277?
g**3 - g**2 - 577*g + 5
What is the t'th term of 237, 1795, 6017, 14235, 27781, 47987?
222*t**3 + 4*t + 11
What is the d'th term of -61197, -61205, -61217, -61233?
-2*d**2 - 2*d - 61193
What is the j'th term of 74, 232, 478, 812, 1234, 1744?
44*j**2 + 26*j + 4
What is the p'th term of 766, 3072, 6910, 12274, 19158?
-p**3 + 772*p**2 - 3*p - 2
What is the n'th term of -13, -97, -293, -649, -1213, -2033, -3157?
-8*n**3 - 8*n**2 - 4*n + 7
What is the b'th term of -421633, -421632, -421631, -421630?
b - 421634
What is the q'th term of 528, 527, 526, 525, 524, 523?
-q + 529
What is the d'th term of 5932, 11871, 17816, 23767, 29724, 35687?
3*d**2 + 5930*d - 1
What is the s'th term of 4346, 8723, 13114, 17519, 21938, 26371?
7*s**2 + 4356*s - 17
What is the n'th term of -88, -559, -1862, -4417, -8644?
-70*n**3 + 4*n**2 + 7*n - 29
What is the w'th term of 467064, 467057, 467046, 467031, 467012?
-2*w**2 - w + 467067
What is the b'th term of -156, -232, -306, -378, -448?
b**2 - 79*b - 78
What is the x'th term of -454941, -454943, -454945, -454947, -454949, -454951?
-2*x - 454939
What is the l'th term of -1267, -2524, -3781, -5038?
-1257*l - 10
What is the t'th term of -143, -354, -831, -1706, -3111, -5178?
-22*t**3 - t**2 - 54*t - 66
What is the u'th term of 510, 1034, 1564, 2106, 2666?
u**3 - 3*u**2 + 526*u - 14
What is the v'th term of 22980, 22982, 22986, 22992, 23000?
v**2 - v + 22980
What is the n'th term of -472, -513, -554, -595, -636, -677?
-41*n - 431
What is the y'th term of 759711, 1519423, 2279135, 3038847, 3798559?
759712*y - 1
What is the r'th term of -1702, -3361, -5020, -6679?
-1659*r - 43
What is the h'th term of -591, -602, -613, -624, -635, -646?
-11*h - 580
What is the i'th term of -164385, -328752, -493119, -657486, -821853, -986220?
-164367*i - 18
What is the s'th term of -128, -251, -446, -707, -1028, -1403, -1826, -2291?
s**3 - 42*s**2 - 4*s - 83
What is the l'th term of 2663, 2654, 2639, 2618, 2591, 2558?
-3*l**2 + 2666
What is the a'th term of 566, 325, 84, -157, -398, -639?
-241*a + 807
What is the m'th term of -43043, -42991, -42941, -42893, -42847, -42803?
-m**2 + 55*m - 43097
What is the o'th term of -1611, -3227, -4843, -6459, -8075?
-1616*o + 5
What is the q'th term of -521, -1003, -1483, -1961?
q**2 - 485*q - 37
What is the m'th term of 342, 659, 976, 1293, 1610, 1927?
317*m + 25
What is the r'th term of 1083, 1993, 2903, 3813, 4723?
910*r + 173
What is the v'th term of -70186, -70188, -70190, -70192?
-2*v - 70184
What is the z'th term of 10696, 10693, 10690?
-3*z + 10699
What is the d'th term of -1024, -2871, -5946, -10249, -15780, -22539, -30526?
-614*d**2 - 5*d - 405
What is the u'th term of -40596, -40607, -40618?
-11*u - 40585
What is the p'th term of -32900, -32901, -32902, -32903, -32904, -32905?
-p - 32899
What is the s'th term of -90, -66, -28, 18, 66, 110?
-s**3 + 13*s**2 - 8*s - 94
What is the n'th term of 408, 1581, 4768, 10977, 21216?
168*n**3 - n**2 + 241
What is the i'th term of -1948, -1938, -1928?
10*i - 1958
What is the u'th term of -611, -4311, -10477, -19109, -30207, -43771, -59801?
-1233*u**2 - u + 623
What is the a'th term of -1374, -5507, -12390, -22017, -34382, -49479, -67302, -87845?
a**3 - 1381*a**2 + 3*a + 3
What is the a'th term of -462, -1840, -4136, -7350, -11482?
-459*a**2 - a - 2
What is the b'th term of 40616, 40619, 40622, 40625?
3*b + 40613
What is the m'th term of -84, -214, -398, -648, -976?
-2*m**3 - 15*m**2 - 71*m + 4
What is the x'th term of -271, -515, -765, -1027, -1307, -1611, -1945?
-x**3 + 3*x**2 - 246*x - 27
What is the w'th term of -226, -483, -740, -997?
-257*w + 31
What is the k'th term of 372, 584, 644, 558, 332, -28, -516?
k**3 - 82*k**2 + 451*k + 2
What is the i'th term of -2052, -16322, -55034, -130404, -254648, -439982, -698622?
-2036*i**3 - 5*i**2 - 3*i - 8
What is the c'th term of 1164, 2236, 4024, 6528, 9748, 13684, 18336?
358*c**2 - 2*c + 808
What is the z'th term of -18, 17, 76, 159, 266, 397, 552?
12*z**2 - z - 29
What is the a'th term of 7665, 30733, 69187, 123033, 192277, 276925, 376983?
a**3 + 7687*a**2 - 23
What is the v'th term of 5528, 11183, 16842, 22505, 28172, 33843?
2*v**2 + 5649*v - 123
What is the a'th term of -169, -384, -603, -826?
-2*a**2 - 209*a + 42
What is the x'th term of 264, 516, 734, 900, 996, 1004?
-3*x**3 + x**2 + 270*x - 4
What is the c'th term of 37951, 151643, 341131, 606415, 947495, 1364371, 1857043?
37898*c**2 - 2*c + 55
What is the d'th term of -136, -229, -322, -415, -508?
-93*d - 43
What is the a'th term of 417, 586, 755, 924, 1093?
169*a + 248
What is the h'th term of -108, -964, -3282, -7794, -15232, -26328?
-122*h**3 + h**2 - 5*h + 18
What is the l'th term of 859, 885, 927, 985, 1059?
8*l**2 + 2*l + 849
What is the p'th term of -1618, -1432, -1248, -1066, -886, -708, -532?
-p**2 + 189*p - 1806
What is the o'th term of -4094, -4192, -4292, -4394, -4498, -4604, -4712?
-o**2 - 95*o - 3998
What is the p'th term of 2613, 5263, 7913, 10563?
2650*p - 37
What is the f'th term of 4270, 17117, 38534, 68527, 107102, 154265, 210022?
f**3 + 4279*f**2 + 3*f - 13
What is the i'th term of -8929, -17708, -26487?
-8779*i - 150
What is the f'th term of 37, 96, 255, 562, 1065, 1812?
8*f**3 + 2*f**2 - 3*f + 30
What is the u'th term of -1827, -1848, -1869, -1890, -1911, -1932?
-21*u - 1806
What is the g'th term of -619, -541, -477, -433, -415, -429, -481?
-g**3 - g**2 + 88*g - 705
What is the m'th term of -271, -611, -1035, -1549, -2159, -2871, -3691, -4625?
-m**3 - 36*m**2 - 225*m - 9
What is the z'th term of -2028, -4069, -6112, -8157, -10204, -12253, -14304?
-z**2 - 2038*z + 11
What is the s'th term of 32425, 129709, 291855, 518863, 810733?
32431*s**2 - 9*s + 3
What is the q'th ter | {
"pile_set_name": "DM Mathematics"
} |
2 minutes after 7:31 PM?
2:13 AM
What is 121 minutes before 10:04 AM?
8:03 AM
What is 588 minutes after 2:47 PM?
12:35 AM
How many minutes are there between 10:36 PM and 4:01 AM?
325
How many minutes are there between 6:41 AM and 4:09 PM?
568
How many minutes are there between 7:28 AM and 6:30 PM?
662
What is 203 minutes before 9:00 AM?
5:37 AM
How many minutes are there between 10:35 PM and 9:14 AM?
639
What is 570 minutes before 9:08 PM?
11:38 AM
How many minutes are there between 11:20 PM and 10:20 AM?
660
What is 652 minutes after 5:10 PM?
4:02 AM
What is 254 minutes after 9:04 AM?
1:18 PM
How many minutes are there between 7:37 AM and 8:25 AM?
48
How many minutes are there between 1:41 AM and 12:12 PM?
631
How many minutes are there between 3:36 PM and 8:59 PM?
323
What is 557 minutes after 5:57 AM?
3:14 PM
What is 132 minutes after 7:54 AM?
10:06 AM
What is 127 minutes after 10:45 PM?
12:52 AM
How many minutes are there between 7:05 PM and 7:25 PM?
20
How many minutes are there between 3:10 PM and 5:16 PM?
126
How many minutes are there between 7:26 PM and 8:54 PM?
88
How many minutes are there between 12:03 AM and 11:33 AM?
690
How many minutes are there between 11:50 PM and 4:04 AM?
254
What is 360 minutes after 7:58 AM?
1:58 PM
How many minutes are there between 6:34 AM and 12:47 PM?
373
How many minutes are there between 8:28 AM and 9:28 AM?
60
What is 595 minutes before 3:25 AM?
5:30 PM
What is 538 minutes before 10:41 PM?
1:43 PM
What is 628 minutes before 4:05 PM?
5:37 AM
How many minutes are there between 7:30 PM and 12:23 AM?
293
How many minutes are there between 6:22 PM and 7:00 PM?
38
What is 156 minutes before 12:29 PM?
9:53 AM
What is 553 minutes after 10:44 AM?
7:57 PM
How many minutes are there between 8:44 AM and 2:28 PM?
344
How many minutes are there between 5:00 AM and 12:37 PM?
457
What is 51 minutes after 8:56 PM?
9:47 PM
How many minutes are there between 4:55 AM and 1:32 PM?
517
How many minutes are there between 4:44 AM and 9:23 AM?
279
How many minutes are there between 12:31 PM and 7:35 PM?
424
What is 456 minutes before 5:18 PM?
9:42 AM
What is 289 minutes before 6:54 AM?
2:05 AM
How many minutes are there between 4:33 AM and 10:26 AM?
353
How many minutes are there between 11:42 AM and 9:02 PM?
560
What is 141 minutes before 4:46 PM?
2:25 PM
How many minutes are there between 8:30 PM and 2:44 AM?
374
How many minutes are there between 5:39 AM and 5:18 PM?
699
How many minutes are there between 4:46 AM and 6:53 AM?
127
How many minutes are there between 3:01 PM and 8:06 PM?
305
What is 570 minutes before 8:49 AM?
11:19 PM
What is 454 minutes before 11:31 PM?
3:57 PM
What is 48 minutes after 5:29 AM?
6:17 AM
What is 315 minutes before 8:15 AM?
3:00 AM
What is 558 minutes after 5:47 AM?
3:05 PM
What is 707 minutes before 3:20 PM?
3:33 AM
How many minutes are there between 9:57 AM and 3:10 PM?
313
How many minutes are there between 2:32 PM and 10:40 PM?
488
How many minutes are there between 9:39 AM and 6:25 PM?
526
How many minutes are there between 6:17 AM and 1:26 PM?
429
What is 394 minutes before 4:49 PM?
10:15 AM
How many minutes are there between 2:53 AM and 8:34 AM?
341
How many minutes are there between 7:59 PM and 7:17 AM?
678
How many minutes are there between 12:31 PM and 5:22 PM?
291
What is 223 minutes before 2:20 PM?
10:37 AM
How many minutes are there between 6:04 PM and 8:10 PM?
126
How many minutes are there between 7:08 AM and 6:51 PM?
703
How many minutes are there between 5:07 PM and 4:55 AM?
708
How many minutes are there between 4:09 AM and 1:39 PM?
570
What is 472 minutes before 11:26 PM?
3:34 PM
What is 303 minutes after 11:26 AM?
4:29 PM
How many minutes are there between 6:23 PM and 9:19 PM?
176
What is 520 minutes after 12:52 AM?
9:32 AM
How many minutes are there between 2:55 PM and 7:57 PM?
302
What is 508 minutes after 3:30 AM?
11:58 AM
How many minutes are there between 11:38 PM and 9:55 AM?
617
How many minutes are there between 12:54 AM and 9:52 AM?
538
How many minutes are there between 2:00 AM and 12:07 PM?
607
How many minutes are there between 5:10 AM and 10:03 AM?
293
How many minutes are there between 5:23 AM and 7:20 AM?
117
What is 406 minutes after 9:06 AM?
3:52 PM
How many minutes are there between 10:23 PM and 7:40 AM?
557
What is 266 minutes before 12:57 AM?
8:31 PM
How many minutes are there between 5:13 AM and 11:38 AM?
385
How many minutes are there between 2:05 PM and 10:21 PM?
496
What is 631 minutes before 3:19 AM?
4:48 PM
What is 27 minutes before 9:52 AM?
9:25 AM
How many minutes are there between 5:37 PM and 3:55 AM?
618
What is 596 minutes before 5:52 PM?
7:56 AM
How many minutes are there between 11:42 PM and 7:54 AM?
492
How many minutes are there between 2:00 PM and 1:05 AM?
665
What is 251 minutes before 10:59 AM?
6:48 AM
How many minutes are there between 9:09 PM and 8:16 AM?
667
What is 172 minutes after 4:09 AM?
7:01 AM
What is 25 minutes before 2:47 PM?
2:22 PM
What is 71 minutes before 3:54 AM?
2:43 AM
How many minutes are there between 5:05 PM and 11:21 PM?
376
What is 535 minutes before 8:15 AM?
11:20 PM
How many minutes are there between 11:22 PM and 2:23 AM?
181
What is 677 minutes before 2:05 PM?
2:48 AM
What is 265 minutes after 1:03 PM?
5:28 PM
How many minutes are there between 12:12 PM and 8:14 PM?
482
What is 610 minutes before 11:42 AM?
1:32 AM
What is 691 minutes after 3:04 PM?
2:35 AM
How many minutes are there between 9:18 PM and 4:19 AM?
421
How many minutes are there between 11:16 PM and 12:09 AM?
53
How many minutes are there between 11:57 AM and 7:59 PM?
482
What is 56 minutes before 6:35 PM?
5:39 PM
What is 172 minutes before 7:33 PM?
4:41 PM
What is 552 minutes before 6:00 PM?
8:48 AM
How many minutes are there between 12:46 AM and 8:11 AM?
445
How many minutes are there between 12:19 AM and 4:44 AM?
265
How many minutes are there between 6:03 PM and 7:32 PM?
89
How many minutes are there between 10:30 AM and 4:07 PM?
337
How many minutes are there between 4:48 AM and 2:39 PM?
591
What is 528 minutes before 5:46 AM?
8:58 PM
What is 243 minutes after 4:00 PM?
8:03 PM
How many minutes are there between 10:41 AM and 6:23 PM?
462
What is 454 minutes before 3:00 PM?
7:26 AM
How many minutes are there between 12:23 PM and 12:50 PM?
27
How many minutes are there between 4:38 PM and 9:56 PM?
318
How many minutes are there between 12:43 PM and 1:39 PM?
56
What is 572 minutes after 5:44 AM?
3:16 PM
How many minutes are there between 10:51 PM and 8:34 AM?
583
How many minutes are there between 8:03 PM and 5:45 AM?
582
How many minutes are there between 8:30 PM and 2:15 AM?
345
How many minutes are there between 7:35 PM and 6:35 AM?
660
How many minutes are there between 6:07 PM and 7:58 PM?
111
What is 470 minutes before 9:55 PM?
2:05 PM
How many minutes are there between 8:11 PM and 6:08 AM?
597
What is 420 minutes before 9:38 PM?
2:38 PM
How many minutes are there between 6:22 PM and 7:02 PM?
40
What is 27 minutes before 7:28 AM?
7:01 AM
How many minutes are there between 11:24 PM and 1:00 AM?
96
What is 158 minutes before 5:02 PM?
2:24 PM
How many minutes are there between 6:32 PM and 6:00 AM?
688
How many minutes are there between 9:51 AM and 5:03 PM?
432
How many minutes are there between 11:00 PM and 10:22 AM?
682
How many minutes are there between 10:46 AM and 3:35 PM?
289
What is 194 minutes before 1:24 PM?
10:10 AM
How many minutes are there between 9:27 PM and 12:23 AM?
176
What is 719 minutes after 11:20 AM?
11:19 PM
What is 547 minutes after 12:20 AM?
9:27 AM
What is 158 minutes before 10:03 PM?
7:25 PM
What is 173 minutes before 9:42 PM?
6:49 PM
How many minutes are there between 4:08 PM and 9:21 PM?
313
What is 322 minutes after 7:19 PM?
12:41 AM
What is 265 minutes before 1:59 PM?
9:34 AM
What is 443 minutes before 4:35 PM?
9:12 AM
How many minutes are there between 3:42 AM and 7:48 AM?
246
What is 391 minutes before 7:32 AM?
1:01 AM
What is 117 minutes before 12:56 AM?
10:59 PM
What is 136 minutes after 7:25 PM?
9:41 PM
What is 251 minutes before 1:20 PM?
9:09 AM
How many minutes are there between 3:59 AM and 2:08 PM?
609
How many minutes are there between 12:00 PM and 6:31 PM?
391
How many minutes are there between 9:0 | {
"pile_set_name": "DM Mathematics"
} |
is the third biggest value in y, g, -5?
-5
Let t = 19 + -21. What is the third biggest value in -11, -2/3, t?
-11
Let s = -9 + 4. Which is the third smallest value? (a) 5 (b) s (c) -6 (d) 0.5
d
Suppose 4*d - 10 = 5*v, 0*d + v = 2*d - 2. Let y = -2.2 - -2. What is the third biggest value in y, d, 0.1?
y
Let p = 5 - 9. Which is the smallest value? (a) 4/7 (b) p (c) 9
b
Let z = 0.09 + 0.41. What is the third biggest value in -4, 1, -1, z?
-1
Let x = 96376 + -18022373/187. Let h = -4/17 - x. Which is the third smallest value? (a) 3/4 (b) h (c) 0
a
Let v be 6 - (-2 - 47/(-6)). Let m = 0.8 + -1.1. Let o = m - -0.1. What is the third biggest value in o, v, -0.5?
-0.5
Let s = -7/11 + 13/55. What is the smallest value in 3, -22/9, s, -0.1?
-22/9
Let i = 4 - 3. Let h = i + -1. Suppose h = 5*y + 25, -4*j = -3*y - 1 + 2. Which is the third biggest value? (a) 5/3 (b) -5 (c) j
b
Let a be (-12)/(-9) + (-4)/6. Let d be (2 - 2 - 0) + -46. Let u be d/42 + (-8)/(-12). What is the third smallest value in u, a, -1?
a
Let n = -1.7 - 0.3. What is the second biggest value in n, -0.4, 3/2, 1/5?
1/5
Let t = -15.93 + 16. Let p = 5.07 - t. Let a = -0.01 + 1.01. What is the third smallest value in -0.1, p, a?
p
Let h(s) = -s + 10. Let z be h(8). Let y = -2.87 + -0.13. What is the second smallest value in 0.1, z, y?
0.1
Let y = 6 - 6.08. Let t = -0.18 - y. Which is the biggest value? (a) -0.5 (b) 1 (c) t
b
Let g(j) = -j**2 + 4*j + 7. Let f be g(5). Suppose 3*l + 2*k = f*l + 1, -k + 18 = -3*l. What is the biggest value in 5, l, 0?
5
Let i = -18/7 - -104/35. Let o = 0.8 + -0.3. What is the third biggest value in -5, o, i?
-5
Let y be -6*(3/27 + 0). Which is the smallest value? (a) 2/13 (b) 2/9 (c) y
c
Let s = -269/15 - -55/3. What is the smallest value in -0.15, s, -3?
-3
Let n = 0.4 + -5.4. Let t = 68 - 76. Let s = n - t. What is the second biggest value in -1, 2, s?
2
Let q = 69 - 68.5. Which is the biggest value? (a) 0 (b) 2 (c) q (d) -1
b
Let j = 0.3 + -0.3. What is the smallest value in 6, -5, j?
-5
Suppose -4*g - 3*z = -31, 2*z + 2 = 2*g - 24. Let x be 10/25 - 4/g. What is the third smallest value in x, -1/2, 1?
1
Let t = -2.6 - -0.6. Let u be 7/28 + 18/(-8). Let l be (3 - 74/22)/u. Which is the second smallest value? (a) t (b) l (c) -1
c
Suppose -2*g - 2*g = -8. Let b be (-1)/g + 1/(-2). Suppose 5*d - 12 = 8. What is the second biggest value in d, b, 5?
d
Let f = 36/133 - 16/19. Which is the biggest value? (a) -5 (b) f (c) -1
b
Suppose 14 = -2*h - 0*h. Let z = -12 - h. Which is the third biggest value? (a) z (b) -1/2 (c) 0.2
a
Let k = 0.09 - 0.89. Let n = 0.76 + k. Let z = n + -0.16. Which is the second biggest value? (a) z (b) 2/5 (c) -4/5
a
Let b = 0 + 0.2. Let z = -4.98 + -0.02. Let n = 0.23 - 3.23. What is the biggest value in z, b, n?
b
Let s = 54 - 47. What is the smallest value in 4, 1/7, s, -5?
-5
Let s = -4 - -3. Let q be 40/(-18) + 3 + s. Which is the biggest value? (a) 2/17 (b) 0.1 (c) q
a
Let v = -10 - -11.4. Let h = v - 1. Which is the second smallest value? (a) 1 (b) 0 (c) h
c
Let s = 12 - 14. Which is the fourth biggest value? (a) -0.5 (b) s (c) -0.2 (d) -5
d
Let t = 0.3 - 0.5. Let n be (-6)/((-3)/(-2)*-1). Suppose 0 = n*u - 5*u. What is the third biggest value in t, 0.5, u?
t
Let d = 16 + -8. Which is the smallest value? (a) -0.4 (b) d (c) -2/17
a
Let l(j) = 6*j**2 - 2. Let x be l(1). Let y = 5 + -3. Let g = -29/66 + -2/33. Which is the second smallest value? (a) g (b) y (c) x
b
Let l be 10 + -2 + 2/1. Suppose 0 = 5*p - l - 5. Let b = -0.09 - 0.11. What is the biggest value in b, 0.4, p?
p
Let i be -3 + (-3 - -3)/(-3). What is the second biggest value in 2/11, i, 2/7?
2/11
Let t = 1/8 - 11/24. Which is the third smallest value? (a) t (b) 1 (c) 4
c
Let p = -0.76 - -3.86. Let j = -0.1 + p. What is the third smallest value in j, 2/7, 0.3?
j
Let r = 0 + 0.6. Let w = r + -0.7. Which is the second biggest value? (a) 1/5 (b) w (c) -3/7
b
Let p = 105 + -105. Which is the fourth smallest value? (a) 0.1 (b) p (c) -5 (d) 7
d
Let l be 26/252 + (-5)/5. Let d = 4/63 + l. Which is the second smallest value? (a) 2/15 (b) d (c) 7
a
Let b = 391 - 837/2. Let n = b + 82/3. Let p(f) = -f + 18. Let g be p(17). What is the smallest value in n, g, 2/13?
n
Let u = 27 + -25. What is the biggest value in u, -0.5, -6?
u
Suppose -120 = -x - 2*x. Suppose -2*r - 2*r = -4*c + x, 2*r = 3*c - 26. Let s be (-32)/66 - c/(-9). What is the biggest value in 0.4, 3, s?
3
Let o(p) = 5*p - 12. Let d be o(3). What is the third biggest value in d, -1, 2/9?
-1
Let z = -8220 - -1438567/175. Let h be ((-12)/(-70))/((-60)/84). Let d = z + h. Which is the second biggest value? (a) -1/4 (b) -2 (c) d
a
Let j = 75 + -72. Which is the second biggest value? (a) j (b) -2 (c) -1/3
c
Let q = -0.3 + 0.3. Let j = q + -4. Let c = 44/3 - 15. What is the biggest value in -0.3, c, j?
-0.3
Let d = 0.087 - 0.187. Let l = 0.2 - 0.1. Which is the second biggest value? (a) l (b) -4/9 (c) d
c
Suppose 3*z - 5 = 8*z + 5*x, 5*x = -2*z - 8. Which is the third biggest value? (a) 0.2 (b) -1/4 (c) z (d) 0.5
a
Let g be ((-1)/3)/(1/(-6)). What is the smallest value in g, 3, -1/4?
-1/4
Let i = 6 + -10. Let c be i/4 + (-2)/(-3). What is the smallest value in c, -0.4, -3?
-3
Suppose -o - 1 = -g - 0*g, -5*g + 10 = 0. Let t be (o/1)/9*-2. Let p = 9 + -4. What is the biggest value in p, t, -0.1?
p
Suppose -3*g - 3 = -4*n, -4*n - 3 = -5*g - 0. Let q(c) = 5*c - 10*c - c**2 + 0*c**2 - g*c - 8. Let s be q(-7). What is the second biggest value in 3, 0.5, s?
0.5
Let a = 1.8 - 0.8. Let l = -1.12 + 0.12. What is the smallest value in l, -5/6, a?
l
Let y = 59 - 57.03. Let b = 0.03 + y. What is the third smallest value in 2/5, 0, b?
b
Let g be 7 + -8 + 14/16. Which is the third biggest value? (a) -1 (b) -0.1 (c) g (d) 0.3
c
Let g = 12 - 12.4. What is the fourth smallest value in 0.13, -0.2, g, 0?
0.13
Let l be (-1)/(29/13 + -2). Let k = 2/485 + -5341/1455. Let w = l - k. Which is the third biggest value? (a) 2/3 (b) -3 (c) w
b
Let u = -7.14 + 7. Let z = -0.54 - u. Which is the biggest value? (a) 0.1 (b) 3 (c) z
b
Suppose 3*u = -6 - 0. Let t be -1 - (-1)/((-865)/(-1221)). Let m = t - 2/173. Which is the second biggest value? (a) 2 (b) u (c) m
c
Let d = 0.021 - 4.021. What is the smallest value in d, 0.4, 0, 3?
d
Let k be 13393499/(-67470) + (-2)/(-3). Let o = -103/4498 + k. Let v = o + 198. Which is the second biggest value? (a) 0.1 (b) v (c) -3
a
Let n = 1 - 1.6. Let s = 4 - 4.4. Let z = n + s. Which is the third smallest value? (a) z (b) 5 (c) 3
b
Let i = 4.1 - 0.1. Let l = -22.002 + 0.002. Let h = l - -21.6. Which is the second smallest value? (a) 0.01 (b) i (c) h
a
Let k = -0.6 + 0.8. Let s = 0.01 - -0.29. Let f = s - k. Which is the third biggest value? (a) f (b) 3 (c) 5
a
Let w = -0.01 + -0.29. What is the biggest value in -4, w, 0.5?
0.5
Let h = 0.5 - 0.6. Let a = -0.2 + h. What is the second smallest value in 3, 0.2, a?
0.2
Suppose -j = 4*q + 9, 2*j = -0*q + 3*q - 7. What is the smallest value in 1/2, 1/3, -1/10, q?
q
Let v = 93.7 + -87. Let d = -19 - -12. Let t = d + v. Which is the third biggest value? (a) t (b) 2 (c) 2/13
a
Let n = -0.1 + -0.2. Which is the third biggest value? (a) n (b) 1 (c) -5
c
Let g = 93/329 - -1/329. Let y = -2.8 - -13.8. Let z = y + -10.8. Which is the smallest value? (a) z (b) 3 (c) g
a
Suppose a = f - 0*f + 17, 3*f - 2*a + 55 = 0. Let y = f - -20. Let t = 2.8 + -3. What is the biggest value in 0, y, t?
0
Let t = -2.4 - -1.4. Let y = 5 - 3. Let h be (1*y)/(18 + -1). Which is the biggest value? (a) t (b) -2/7 (c) h
c
Let z = 0.23 - -0.17. Which is the second biggest value? (a) z (b) -3/8 (c) 4
a
Let u = -2.3 + 14.3. Let b = u + -16. Suppose 0 = -5*x - 0*x + 5. What is the second smallest value in x, b, 2/11?
2/11
Let d = 27/100 - 1/50. Which is the second smallest value? (a) d (b) 7 (c) -2/11
a
Let p = 2 + -10. Let m be (p/(-10))/(4/10). Which is the biggest value? (a) m (b) 1 (c) -2
a
Suppose j + 3*j = 12. Suppose -3*p = -j*y + 4*y + 1, 8 = 4*y. Let i be p*(-3 - 6/3). Which is the second biggest value? (a) i (b) 3/5 (c) -3/7
b
Let q = -3.891 + -0.109. Which is the second smallest | {
"pile_set_name": "DM Mathematics"
} |
om {z: 1, s: 2, a: 1}.
1/12
What is prob of sequence eu when two letters picked without replacement from efffu?
1/20
Three letters picked without replacement from {w: 3, v: 7}. What is prob of sequence wwv?
7/120
Three letters picked without replacement from zqeeeeeeqezzeeze. Give prob of sequence eee.
3/14
Three letters picked without replacement from nggguguug. Give prob of sequence uuu.
1/84
What is prob of sequence ovvg when four letters picked without replacement from vvguuo?
1/180
Three letters picked without replacement from {y: 3, a: 1, j: 3}. What is prob of sequence yay?
1/35
Calculate prob of sequence vbs when three letters picked without replacement from psosppppsbpvpppvo.
1/680
Three letters picked without replacement from gggjjg. What is prob of sequence jjg?
1/15
Calculate prob of sequence kkfu when four letters picked without replacement from {f: 4, u: 3, p: 2, k: 2, s: 2}.
1/715
What is prob of sequence tjxt when four letters picked without replacement from ttttttttjxttttt?
1/210
Four letters picked without replacement from {k: 7, c: 1}. Give prob of sequence kckk.
1/8
Calculate prob of sequence ww when two letters picked without replacement from {w: 2, z: 16}.
1/153
Four letters picked without replacement from {p: 2, n: 2, o: 3, w: 3, u: 5}. What is prob of sequence wonw?
1/910
Four letters picked without replacement from sllsswfjlffjffr. What is prob of sequence frsf?
1/546
What is prob of sequence uw when two letters picked without replacement from wwwwwwwwwwwwwwuwww?
1/18
Calculate prob of sequence iii when three letters picked without replacement from mmmmimimimmmimim.
1/56
What is prob of sequence vt when two letters picked without replacement from tvv?
1/3
What is prob of sequence gf when two letters picked without replacement from {r: 1, s: 1, g: 3, f: 2}?
1/7
Two letters picked without replacement from diiddid. Give prob of sequence di.
2/7
Three letters picked without replacement from {j: 1, y: 5, g: 1, d: 9, x: 2}. Give prob of sequence gyx.
5/2448
Two letters picked without replacement from {g: 3, a: 17}. Give prob of sequence gg.
3/190
Three letters picked without replacement from {j: 6, q: 4}. Give prob of sequence jjj.
1/6
Calculate prob of sequence yyyr when four letters picked without replacement from {y: 3, r: 1}.
1/4
Two letters picked without replacement from {f: 2, k: 4, e: 2}. What is prob of sequence ke?
1/7
Four letters picked without replacement from llalealellaa. What is prob of sequence alaa?
2/165
Four letters picked without replacement from {d: 4, j: 3, b: 1, h: 2, l: 3, q: 2}. Give prob of sequence dlhj.
1/455
Calculate prob of sequence vv when two letters picked without replacement from {s: 4, r: 1, o: 6, v: 4}.
2/35
Calculate prob of sequence tt when two letters picked without replacement from {d: 5, t: 3}.
3/28
Three letters picked without replacement from {m: 1, l: 2, t: 3, z: 4, o: 7}. What is prob of sequence ztz?
3/340
Three letters picked without replacement from {a: 2, m: 17}. Give prob of sequence maa.
1/171
Four letters picked without replacement from {c: 6}. Give prob of sequence cccc.
1
What is prob of sequence yyy when three letters picked without replacement from yywyywy?
2/7
What is prob of sequence pe when two letters picked without replacement from jjpejjjejj?
1/45
What is prob of sequence cd when two letters picked without replacement from idcocizdoizocddd?
1/16
Two letters picked without replacement from sssssssnssssssssnn. Give prob of sequence nn.
1/51
Three letters picked without replacement from apajzttpv. What is prob of sequence vza?
1/252
What is prob of sequence ls when two letters picked without replacement from {u: 1, l: 4, s: 2, o: 1}?
1/7
Calculate prob of sequence ym when two letters picked without replacement from {y: 4, m: 2, e: 6}.
2/33
Calculate prob of sequence su when two letters picked without replacement from {s: 1, u: 1, b: 2}.
1/12
What is prob of sequence bfbg when four letters picked without replacement from gbnbbnblbfnnbfb?
1/390
Three letters picked without replacement from ekerbbeookreowb. Give prob of sequence weo.
2/455
What is prob of sequence gng when three letters picked without replacement from gggggngggnggagggg?
91/1020
What is prob of sequence qj when two letters picked without replacement from {a: 1, q: 2, j: 1}?
1/6
Calculate prob of sequence ny when two letters picked without replacement from {y: 1, i: 1, n: 1, c: 2}.
1/20
Calculate prob of sequence wz when two letters picked without replacement from {e: 1, z: 6, w: 1, a: 1}.
1/12
Calculate prob of sequence kpok when four letters picked without replacement from {k: 2, o: 2, p: 1, a: 1}.
1/90
What is prob of sequence mi when two letters picked without replacement from zmziifiiiiiaafiiiiif?
3/95
Four letters picked without replacement from {x: 6, v: 2}. What is prob of sequence xxvx?
1/7
Calculate prob of sequence evv when three letters picked without replacement from {e: 9, v: 7, r: 3}.
21/323
Four letters picked without replacement from {c: 5, b: 3, f: 2, p: 1, x: 8}. Give prob of sequence bxcp.
5/3876
Four letters picked without replacement from {l: 5, g: 5}. What is prob of sequence lggg?
5/84
Calculate prob of sequence oiii when four letters picked without replacement from iioioiiioiiiiii.
11/91
Three letters picked without replacement from ybskykyys. Give prob of sequence kys.
2/63
What is prob of sequence nzk when three letters picked without replacement from kkknkkkzkzkkzkk?
11/910
What is prob of sequence byzg when four letters picked without replacement from zzbssszyzgz?
1/1584
Two letters picked without replacement from {q: 1, h: 2, d: 2, p: 1}. Give prob of sequence ph.
1/15
What is prob of sequence sss when three letters picked without replacement from {s: 9}?
1
Calculate prob of sequence eb when two letters picked without replacement from {r: 3, b: 4, e: 9}.
3/20
Three letters picked without replacement from {u: 3, v: 2, j: 2, z: 6, o: 1, k: 6}. What is prob of sequence uoz?
1/380
What is prob of sequence dzz when three letters picked without replacement from {z: 3, d: 2}?
1/5
What is prob of sequence lhd when three letters picked without replacement from {h: 1, d: 5, w: 9, l: 3}?
5/1632
Four letters picked without replacement from {d: 3, n: 6, s: 2, b: 1, m: 1}. What is prob of sequence ddmd?
1/2860
Four letters picked without replacement from {g: 2, j: 4, w: 4}. What is prob of sequence jgjj?
1/105
What is prob of sequence shvi when four letters picked without replacement from {v: 1, b: 1, h: 1, i: 1, s: 1}?
1/120
Three letters picked without replacement from vvygvgyfvyvyvfgyv. What is prob of sequence yfv?
7/408
Three letters picked without replacement from lylnlldwyd. Give prob of sequence ldw.
1/90
Two letters picked without replacement from {e: 7, f: 6, p: 6}. What is prob of sequence ff?
5/57
What is prob of sequence qs when two letters picked without replacement from ttwvstwvwqvttsvtw?
1/136
Calculate prob of sequence bo when two letters picked without replacement from vfovojovfoojvfbvoj.
1/51
Two letters picked without replacement from {h: 2, n: 3, w: 3}. What is prob of sequence wn?
9/56
Two letters picked without replacement from {v: 2, d: 7, p: 3, s: 5}. What is prob of sequence ss?
5/68
Two letters picked without replacement from {w: 4, a: 3, u: 3, h: 7, r: 2}. What is prob of sequence aw?
2/57
Two letters picked without replacement from {i: 1, d: 2, l: 1, a: 2, y: 1}. Give prob of sequence la.
1/21
What is prob of sequence kzz when three letters picked without replacement from {k: 2, b: 6, z: 4}?
1/55
Calculate prob of sequence gg when two letters picked without replacement from {h: 8, t: 4, g: 8}.
14/95
Calculate prob of sequence jjs when three letters picked without replacement from bjbbjssjbjbjjbjb.
1/40
What is prob of sequence wdee when four letters picked without replacement from sderskrsdsskrekwrsrs?
1/29070
What is prob of sequence bb when two letters picked without replacement from ububbuubbuubbubbbubu?
11/38
Two letters picked without replacement from {p: 3, f: 2, t: 6, h: 2}. What is prob of sequence fp?
1/26
Calculate prob of sequence zv when two letters picked without replacement from {w: 2, z: 3, v: 3}.
9/56
Two letters picked without replacemen | {
"pile_set_name": "DM Mathematics"
} |
aluate (1/4)/(1/(-2)).
-1/2
Calculate ((-162)/108)/((-3)/(-4)).
-2
Calculate -2*(7/((-28)/6))/1.
3
Evaluate ((-4)/6)/(30/36*-4).
1/5
Calculate 4/1*(-180)/(-576).
5/4
What is the value of (7*6/14)/3?
1
Calculate 4/1*4*2/(-208).
-2/13
What is -2*(-1)/(-2)*1/(-5)?
1/5
What is 3/((-231)/44)*1?
-4/7
Calculate (-55)/11*(-2)/(-15).
-2/3
What is the value of 2*2*4/(-40)?
-2/5
What is (9/(-27))/(3/(81/3))?
-3
-3*(5/1*-1)/(-3)
-5
Calculate 3*-2*17/1683*-11.
2/3
What is the value of ((-525)/(-225))/(1/(6/(-4)))?
-7/2
Evaluate (-434)/124*(-2)/7.
1
What is the value of 14/(-14)*15/3?
-5
Calculate 360/150*(-10)/8*-2.
6
What is the value of 35/14*(-2)/(-55)?
1/11
Evaluate -2*-2*4/32.
1/2
What is (-35)/28*8/20?
-1/2
Calculate (88/154)/((-9)/21).
-4/3
What is (4/(-9))/((-6)/54)?
4
What is the value of 1*-1*(-8)/8*5?
5
Calculate ((64/(-24))/2)/2.
-2/3
What is ((-12)/35)/((160/(-35))/16)?
6/5
Calculate (-4)/14*(-238)/34.
2
What is the value of (-12)/9*-9*1/(-6)?
-2
(-52)/182*9/6
-3/7
Evaluate (24/28)/(-3*4/84).
-6
What is (-3)/(-12)*4*-3?
-3
Evaluate (8/(-32))/(6/8)*9.
-3
(1/(-2))/(((-25)/40)/(-5))
-4
6/90*(-8)/20*-5
2/15
What is (-3)/(-12)*88/143?
2/13
What is (80/(-30))/(14/(-3))?
4/7
What is -1*30/4*10/(-15)?
5
What is (-30)/4*18/(-54)*2?
5
36/(-16)*2*(-3)/(-9)
-3/2
What is ((-9)/(-9))/(4/(-4))?
-1
What is (-12)/(-10)*195/(-117)?
-2
What is the value of (4/16)/((-18)/576)?
-8
What is the value of (((-364)/(-52))/((-1)/(-1)))/1?
7
Calculate ((-6)/(-8))/(25/(-20)).
-3/5
What is the value of -1*((-126)/6)/7?
3
(5/(-1))/(-15)*0
0
Calculate (5/(4/(8/2)))/1.
5
Evaluate (532/665)/((-6)/(-10)).
4/3
Evaluate 6*-15*9/162.
-5
84/(-108)*4/14
-2/9
What is 8/16*2/(-5)?
-1/5
11/((-165)/(-135))*(-1)/3
-3
What is (3/(-9))/((-2)/6)*7?
7
1*(((-80)/(-12))/(-4))/1
-5/3
What is the value of 8/(-6)*231/(-44)?
7
Calculate ((-2)/4)/(10/15).
-3/4
Calculate (4/3)/((-20)/(-45)).
3
3/((6/(-10))/((-2)/50))
1/5
(-2)/(4/5*(-2925)/(-234))
-1/5
Evaluate (10*1/5)/(2/(-1)).
-1
Evaluate (1*(-4)/6)/((-394)/2364).
4
Evaluate ((-16)/(-24))/((-10)/6).
-2/5
What is the value of (4/(-10))/((-1)/2)?
4/5
Evaluate (((-80)/(-3))/(-16))/5.
-1/3
What is the value of ((-3)/(-4))/((-324)/576)?
-4/3
What is the value of 2/(-5)*(-90)/48?
3/4
What is (-2)/(((-2)/(-12))/(5/(-20)))?
3
Calculate (((-90)/(-5))/6)/(-1).
-3
(3/(-18))/((33/(-44))/(-3))
-2/3
What is (-3)/4*656/492?
-1
Calculate ((-168)/(-12))/((-6)/3).
-7
Calculate -2*9/54*-9.
3
What is the value of (-2)/(((-2)/(-9))/((-26)/78))?
3
What is the value of -5*(-5)/15*-3?
-5
Evaluate 140/56*12/(-55).
-6/11
What is the value of (-6)/(2*-1)*(-4)/4?
-3
Calculate (((-20)/(-5))/4)/((-30)/(-18)).
3/5
Evaluate (4/6)/((-191)/573).
-2
What is -10*-4*(-10)/(-80)?
5
-3*5/(15/2)
-2
4/6*(90/(-32))/5
-3/8
((-11)/2)/((120/(-16))/(-5))
-11/3
Evaluate 3/((-33)/(-11))*0.
0
What is the value of 3/5*(-80)/(-216)?
2/9
8/2016*7*4
1/9
((42/(-9))/(-7))/(-2)
-1/3
Evaluate (-3)/6*(-7)/(21/(-30)).
-5
Calculate 0/1*46/(-92).
0
What is (-18)/12*(-8)/3?
4
-1*6*2/24*-6
3
What is ((-60)/(-72))/((-3)/(-18))?
5
What is the value of (16/10)/((-996)/(-830))?
4/3
((-10)/15)/(10/(-15))
1
Evaluate 26/((-598)/69)*(-1)/1.
3
Calculate -1*(-3)/(-9)*-1*-2.
-2/3
(-9)/450*5*-6
3/5
What is (6*1/18)/(1/6)?
2
Calculate ((-16)/(-28))/(-3*(-1)/21).
4
Calculate 40/90*(-6)/(-8).
1/3
Calculate ((-972)/(-1134))/(6/(-56)).
-8
What is the value of ((-1)/1)/(-2*(-6)/3)?
-1/4
Evaluate ((-15)/(-21))/((-27)/(-189)).
5
Calculate ((-2)/(-35))/(26/(-130)).
-2/7
What is the value of ((-2)/6)/(1/1)?
-1/3
What is the value of ((-4)/(-20))/((-24)/30)?
-1/4
What is the value of ((-2)/(-5))/(24/10)?
1/6
4*((-9)/(-12))/3
1
(22/(-55))/((-16)/(-10))
-1/4
((-10)/24)/(3/12)
-5/3
What is the value of (-9)/12*-2*(-36)/(-243)?
2/9
What is the value of (26/351)/((-4)/(-12))?
2/9
Evaluate ((-2)/(-6))/(12*16/2880).
5
((-2)/5)/(21*7/105)
-2/7
What is 2/(-4)*(-378)/(-27)?
-7
What is 10/(-4)*(-13)/975*-24?
-4/5
What is ((-186)/124)/((-1)/((-6)/21))?
-3/7
(-1)/(8/120*-5)
3
Evaluate (20/((-12)/3))/((-3)/(-3)).
-5
Evaluate ((-1*1)/4)/((-43)/516).
3
Calculate (5*1)/(9/9).
5
What is ((-12)/(-10))/(2/5)?
3
Evaluate ((-4)/(-10))/(((-242)/220)/(-11)).
4
What is the value of ((-40)/(-20))/(((-2)/(-1))/4)?
4
(-324)/864*4/(-6)
1/4
What is the value of (-1*2)/(40/((-64)/(-8)))?
-2/5
Calculate 16/(-120)*5/6.
-1/9
Calculate 0/8*3/6.
0
Evaluate (4/6)/((-36)/27).
-1/2
Calculate ((-175)/20)/((-25)/10)*-2.
-7
(10/(520/(-13)))/((-10)/16)
2/5
Evaluate (2/3)/((-3350)/402).
-2/25
What is the value of (20/45)/((-22)/(-297))?
6
What is (8/192*-8)/((-2)/(-36))?
-6
What is (2/(-135))/((-1)/5)*3?
2/9
What is the value of ((-2)/(-3))/(8/36)?
3
What is the value of 7/(-10)*16/(-56)?
1/5
What is the value of (-1)/(2*3/6)?
-1
What is the value of (-45)/(-25)*(240/(-9))/8?
-6
What is -5*-5*12/75?
4
Evaluate ((-16)/(-28)*-1)/(18/63).
-2
30/(-9)*4/8*-3
5
What is the value of 4*2*(-40)/(-64)?
5
What is the value of (3/1)/(-4*15/(-60))?
3
Evaluate (-49)/(-14)*10/5*-1.
-7
(2/20)/((-21)/(-63)*-1)
-3/10
Calculate ((-56)/42)/(20/15).
-1
What is (((-133)/(-84))/19)/(6/(-16))?
-2/9
Evaluate (4/9)/(504/324).
2/7
Evaluate (-12)/24*24/4.
-3
(7/21)/(3/36)
4
What is ((-140)/(-735))/((-9)/42*-2)?
4/9
3/(-2)*(-12)/(-99)
-2/11
Evaluate -2*(-2)/(-12)*15.
-5
Calculate (513/570)/(2/(-16)*-6).
6/5
Evaluate 21/7*(-5)/30.
-1/2
2*-2*-6*(-1)/24
-1
((-2)/4)/((-105)/(-90))
-3/7
What is 3/10*(-123)/369?
-1/10
Evaluate (-58)/87*(-3)/7.
2/7
What is ((-2)/14)/((77/(-11))/14)?
2/7
1*1/(2/4)
2
Evaluate (((-1)/1)/1)/((-102)/306).
3
Evaluate ((-14)/(-49))/((-4)/(-2)*-1).
-1/7
Calculate 2/(-4)*(-1572)/1834.
3/7
What is the value of ((-268)/938)/(((-18)/21)/(-2))?
-2/3
What is (19/((-247)/(-78)))/10?
3/5
Evaluate (((-4)/5)/(-2))/(24/(-45)).
-3/4
What is (8*-1)/(8/8)?
-8
Evaluate (25*(-12)/(-480))/(10/12).
3/4
What is 8/28*7/4*1?
1/2
Calculate (10/15)/((-2)/9).
-3
What is the value of (-39)/3*90/(-2925)?
2/5
Calculate (7/(-7))/((-6)/(-18)).
-3
Evaluate ((-8)/(-6))/((-23)/69).
-4
Calculate ((63/7)/(-45))/(7/5).
-1/7
Calculate 4/42*7*3.
2
What is (2/12)/(((-24)/(-9))/8)?
1/2
What is the value of ((-10)/24)/((-25)/(-10))?
-1/6
(2/6*-2)/((-12)/18)
1
What is the value of (-18)/(-6)*(-10)/(-165)?
2/11
Evaluate (-42)/6*(-12)/(-42).
-2
What is the value of (2/18)/((-70)/(-630))?
1
Calculate ((-112)/(-70))/((-2)/5).
-4
Evaluate (-25)/60*(-4)/10.
1/6
What is ((10/14)/(-5))/(2/6)?
-3/7
What is the value of (1/(-14))/(6*7/(-84))?
1/7
What is ((-192)/(-224))/((-4)/(-7))?
3/2
Calculate 5/4*124/(-620).
-1/4
What is the value of 50/(-5)*(-7)/70?
1
What is 6/(-25)*15/(-9)?
2/5
What is ((-25)/(-15))/(35/14)?
2/3
(-8)/((-160)/(-105))*(-48)/36
7
What is 0/(((-9)/(-27))/((-1)/9))?
0
What is the value of ((-10)/(-15))/((16/6)/(-2))?
-1/2
Calculate ((-1)/4*-1)/(90/(-90)).
-1/4
Evaluate -2*1*16/(-144).
2/9
What is the value of (-12)/(-68)*(-6)/(-9)?
2/17
What is the value of ((-10)/(-5))/(-6)*15?
-5
3/2*(-74)/222
-1/2
3/(-15)*-2*6/(-3)
-4/5
2/(-54)*(-24)/4
2/9
What is the value of 2/(-4*10/160)?
-8
What is the value of -7*(12/(-7))/(-6)?
-2
Evaluate 3/(-3)*30/10.
-3
Evaluate (-2)/12*6/(-4).
1/4
(-21)/(-12)*2*7/(-49)
-1/2
3*12/(-21)*13/26
-6/7
What is the value of (-55)/(-22)*(-4)/15?
-2/3
Calculate 6/(-8)*72/135.
-2/5
What is the value of (20/(-20))/(3/24)?
-8
What is the value of 1/(-2)*0/2?
0
What is the value of ((-5)/10)/((15/3)/(-10))?
1
(-12)/(-104)*4/3
2/13
Evaluate 1/12*(-5)/(10/6).
-1/4
What is the value of ((-1)/2)/(5/((-900)/(-15)))?
-6
What is the value of 1/(-5)*5*4?
-4
Calculate ((-20)/(-20))/(1*6)*30.
5
What is ((-1)/(8/1))/(2/4)?
-1/4
Evaluate (10/4)/((-5)/80*-8).
5
Calculate ((-18)/15)/((-12)/(-40)).
-4
10*(5/10)/(-1)
-5
Evaluate ((-2)/10)/(26*(-5)/(-975)).
-3/2
(-4)/3*(-84)/(-112)
-1
What is the value of (9*3/54)/3?
1/6
Calculate (8/(-12))/(((-56)/(-6))/2).
-1/7
What is ((-17)/(-34))/((-8)/(-6))?
3/8
Evaluate ((-32)/56)/(-2)*-1.
-2/7
Evaluate ((-2)/(-51))/(10/60*2).
2/17
Evaluate (3/(-3))/(3/12).
-4
Evaluate ((-78)/(-91))/(128/(-56)).
-3/8
Evaluate -3*12/45*10/28.
-2/7
What is the value of (-8)/(-9)*1/(-4)?
-2/9
What is ((-6)/(-30))/(2/(-4))?
-2/5
What is the value of ((-1)/(-3))/(6/(720/(-8)))?
-5
What is the value of (60/75)/(1*2/(-10))?
-4
What is the value of 8/(-28)*9/6?
-3/7
Evaluate -1*((-2)/8)/((-9)/(-3 | {
"pile_set_name": "DM Mathematics"
} |
53*o**3 - 61*o**2 + 743*o - 7 wrt o.
-318*o - 122
What is the second derivative of -209*u**5 - 2*u**3 - 282*u**2 + 2179*u - 24 wrt u?
-4180*u**3 - 12*u - 564
Differentiate 18*i**2*n**2 - 119253*i**2 - 4636*i*n**3 - 2*i + 1 with respect to n.
36*i**2*n - 13908*i*n**2
Find the second derivative of 1459274*z**4 - 5*z - 67741.
17511288*z**2
Find the third derivative of 2*s*y**5 - 36512*s*y + 351504*y**4 + y**2 wrt y.
120*s*y**2 + 8436096*y
Find the third derivative of j**4*m**3 + 1685*j**3*m**2 - 13*j**3*m + 6*j**2*m**2 - j**2 + 11938*m**3 wrt j.
24*j*m**3 + 10110*m**2 - 78*m
Find the third derivative of -12843*u**3 + 157*u**2 + 30.
-77058
What is the third derivative of 22474*v**6 - 2*v**3 - v**2 - v + 4369?
2696880*v**3 - 12
What is the third derivative of 4*a**4 + 15413*a**3 - 94655*a**2?
96*a + 92478
What is the third derivative of -2*f**5 - 832*f**3*m - 5*f**3 + 17*f**2*m - 1968*m wrt f?
-120*f**2 - 4992*m - 30
Find the third derivative of 19627*i**5*t - i**5 + 6*i**2 - 885*i*t - 2*i + t - 14 wrt i.
1177620*i**2*t - 60*i**2
Find the first derivative of 97987*o**4 + 48747.
391948*o**3
What is the second derivative of -411968*n**2*o - n**2 + 520034*n*o + 2*n wrt n?
-823936*o - 2
Find the second derivative of -2*u**5 + 9257*u**4 + 25902*u.
-40*u**3 + 111084*u**2
Find the second derivative of -70823*s**4 - 55897*s wrt s.
-849876*s**2
Find the first derivative of -4862809*t**4 - 3482914.
-19451236*t**3
Find the first derivative of -232*m**2*x - 2*m**2 - 65439*m + 1281*x wrt x.
-232*m**2 + 1281
Find the second derivative of -1783448*w**2 - 3*w + 20814.
-3566896
What is the derivative of -166416*x + 1955778?
-166416
Find the third derivative of -11037*f**6 - 6*f**4*h - 2754*f**2*h - 3*f**2 wrt f.
-1324440*f**3 - 144*f*h
What is the first derivative of 28294*b**2 + 593 wrt b?
56588*b
What is the second derivative of -72323*n**3 - 2*n**2 + 2131*n + 18?
-433938*n - 4
Find the first derivative of -1736*a*o + 19*a - o - 489 wrt o.
-1736*a - 1
Find the third derivative of 8870*d**6 + d**4 + 350*d**2 - 3*d + 1 wrt d.
1064400*d**3 + 24*d
What is the third derivative of -473943*c**5 - 6*c**2 - 62*c - 36 wrt c?
-28436580*c**2
What is the third derivative of 43*d**4 + 1469*d**3 + 846319*d**2?
1032*d + 8814
What is the third derivative of 2*v**5 - 34519*v**3 + 257241*v**2 wrt v?
120*v**2 - 207114
Differentiate 355086*k**2 + 84597 wrt k.
710172*k
Find the second derivative of -96463*g*x**2 - 67*g*x + 2*g + 11*x - 3 wrt x.
-192926*g
Find the third derivative of -10137*o**2*x**5 + 26*o**2*x**3 + 245389*o**2*x**2 + x**2 wrt x.
-608220*o**2*x**2 + 156*o**2
What is the third derivative of -2*m**4*r - 123*m**4 - 3*m**3*r - 241*m**3 + 25*m**2*r + 1711*m**2 - 2*r wrt m?
-48*m*r - 2952*m - 18*r - 1446
What is the third derivative of -2936*m**4*o - 3*m**4 + 11*m**3*o - m**2*o + 2*m**2 - 18519*o + 1 wrt m?
-70464*m*o - 72*m + 66*o
Find the third derivative of -1641426*g*q**5 - 3340206*g*q**2 wrt q.
-98485560*g*q**2
What is the first derivative of 5166*q*s*v**3 - 24*q*s*v + 23503*q - 6*v**3 wrt s?
5166*q*v**3 - 24*q*v
What is the derivative of 2651063*f - 3856858?
2651063
What is the second derivative of -10932*o**2*x**2 + 144093*o**2*x - 82*x**2 wrt x?
-21864*o**2 - 164
What is the third derivative of a**3*n**3*y + 5*a**3*n**3 - 6064*a**3*n*y + 2*a**2*n**3 - 41*a**2*n*y - 2*a**2*n + 6*a*n**3*y + n*y wrt a?
6*n**3*y + 30*n**3 - 36384*n*y
Find the second derivative of 3*i**5 + i**4 - 186*i**2 - 2*i - 15084 wrt i.
60*i**3 + 12*i**2 - 372
What is the third derivative of -128*o**5*t**3 + 49*o**5*t + 223456*o**2*t**3 wrt o?
-7680*o**2*t**3 + 2940*o**2*t
Differentiate -499*q**4 - 1294*q + 5096947.
-1996*q**3 - 1294
Find the third derivative of 2*f**5 + 15553*f**4 - 2*f**3 - 8972*f**2 wrt f.
120*f**2 + 373272*f - 12
What is the derivative of -2366*a**2*f**3 - 35*a*f*x + 2*f**3*x + x - 32915 wrt a?
-4732*a*f**3 - 35*f*x
What is the third derivative of -461*b*n**4*u**2 - 100*b*n*u**2 + 2*b*n + 14*n**5*u + 2*n**2 - 7*n*u - u**2 wrt n?
-11064*b*n*u**2 + 840*n**2*u
Differentiate h**3*p - 25*h*p + 53*h - 17935*p wrt h.
3*h**2*p - 25*p + 53
What is the third derivative of 2*j**5 - 471167*j**4 + 30*j**2 - 1146*j - 2 wrt j?
120*j**2 - 11308008*j
What is the second derivative of -2*g**5*q*w + 24725*g**5*w - 6*g*q*w + 4*g*q + 2*g*w + g + 3*q*w + 90 wrt g?
-40*g**3*q*w + 494500*g**3*w
What is the third derivative of 859998*n**4 - 7*n**2 - 958*n + 6 wrt n?
20639952*n
Find the third derivative of 283*c**4*t + 15*c**3*k*t**2 + 2*c**3*k + 86*c**2*k*t - c**2*t - 2*c*t**2 + 25*k*t**2 wrt c.
6792*c*t + 90*k*t**2 + 12*k
Find the second derivative of -23*u**3 - 31861*u**2*v - 2*u*v - 6*u + 4351*v + 4 wrt u.
-138*u - 63722*v
Find the second derivative of -168*m**5 + 12*m**3 + 5*m**2 + 14626*m - 2.
-3360*m**3 + 72*m + 10
Find the second derivative of -156*d**5 - 4*d**4 - 8*d**3 + 11225*d.
-3120*d**3 - 48*d**2 - 48*d
Differentiate 4*d**2*g**2 - 2228075*d**2 + 241358*d*g**3 with respect to g.
8*d**2*g + 724074*d*g**2
Find the third derivative of -253634*l**5*z + 3*l**2*z + 93*l**2 + l*z + l wrt l.
-15218040*l**2*z
What is the third derivative of 230165*n**3 + n**2 - 1290*n + 53 wrt n?
1380990
Find the second derivative of -n**3 + 68*n**2 - 22306*n - 4 wrt n.
-6*n + 136
Differentiate 206864*t**2 - 158224.
413728*t
What is the second derivative of -2208*r**3 + r**2 + 47431*r - 27?
-13248*r + 2
Find the first derivative of 285*o**2*u + 7*o**2 + 137*o*u - o - 4*u + 343369 wrt u.
285*o**2 + 137*o - 4
Differentiate 2*g**3 + 896*g**2 - 536*g - 906246 with respect to g.
6*g**2 + 1792*g - 536
What is the third derivative of 11*n**3*y**2 - 6595*n**3*y + n**2*y**2 + 40*n**2 - 1103 wrt n?
66*y**2 - 39570*y
What is the derivative of 38*n**3*p - 17*n**3 - 12*n**2*p + 2*n**2 + 36*n*p + 175*n + 2*p + 3 wrt p?
38*n**3 - 12*n**2 + 36*n + 2
Find the first derivative of -417863*o - 278303.
-417863
What is the second derivative of -72726*j**2 - 11*j - 1802?
-145452
What is the third derivative of 966824*k**3 - 96*k**2 + 4015*k + 1 wrt k?
5800944
Find the first derivative of -1089975*t - 597150.
-1089975
Find the third derivative of 137785*b**3*n**3 + b**2*n**3 + n**3 + 6613*n wrt b.
826710*n**3
What is the first derivative of -2584*q**2 + 82*q + 3890187 wrt q?
-5168*q + 82
Find the first derivative of -2*a*g**3 + 2*a*j**3 + 5886*a*j**2 - 11*g**3 + 6*g**2 + 2*g*j**3 wrt a.
-2*g**3 + 2*j**3 + 5886*j**2
Differentiate 7837*m**3*o**3 + 12419*m**3 - 3*m**2*o**4 with respect to o.
23511*m**3*o**2 - 12*m**2*o**3
What is the second derivative of 3*i*u**4 - 1174*i*u**3 - i*u + 14*i + 3*u**2 + 66*u + 1 wrt u?
36*i*u**2 - 7044*i*u + 6
What is the second derivative of 21*b**4 + 7*b**3 + b**2 - 1245135*b?
252*b**2 + 42*b + 2
What is the first derivative of -236582*g**3 - 3*g**2 + 2415252 wrt g?
-709746*g**2 - 6*g
Find the third derivative of 28937*o**4 - 100*o**2 - 98.
694488*o
What is the third derivative of -40362*p**3 + 190*p**2 - 103*p wrt p?
-242172
What is the second derivative of -7*f**2*r**2*w - 4*f**2*r*w - 2*f**2*w + 76*f*r*w - 3*r**2*w - 193*r**2 + r*w - 29*w - 1 wrt r?
-14*f**2*w - 6*w - 386
What is the first derivative of 376191*t**2*v + 114614*t**2 wrt v?
376191*t**2
Find the second derivative of 2*i**3*y**2 + i**3*y + 2*i**3 + 2617*i**2*y**2 - 10*i**2*y + 3*y**2 - 570*y - 1 wrt y.
4*i**3 + 5234*i**2 + 6
Find the second derivative of -249517*x**5 + 528308*x wrt x.
-4990340*x**3
Find the second derivative of -112732*q**2 + 141068*q wrt q.
-225464
What is the third derivative of -53017*t**6 - 7*t**2 - 1510*t?
-6362040*t**3
What is the second derivative of -209033*p**2 - 2*p - 97174 wrt p?
-418066
Find the third derivative of -3*j**5 + 2375*j**3 + 18*j**2 - 448*j + 1.
-180*j**2 + 14250
What is the second derivative of -44593*u**2 + 174*u + 124?
-89186
Find the second derivative of -k*l**3 - 788*k*l**2 - 3371906*k*l + k - 11*l**3 - l**2 wrt l.
-6*k*l - 1576*k - 66*l - 2
Find the third derivative of 90429*f**3 + 51699*f**2.
542574
What is the third derivative of -2*i*j**4 + 2147*i*j**2 - 2787*j**5 - 7*j**3 - 15*j**2 + j wrt j?
-48*i*j - 167220*j**2 - 42
What is the third derivative of 2*q**6 - 7*q**5 + 721*q**3 - 16220*q**2?
240*q**3 - 420*q**2 + 4326
Find the third derivative of 2*f**6 - 16*f**4 + 49*f**3 - 44*f**2 + 684.
24 | {
"pile_set_name": "DM Mathematics"
} |
Let h(d) = 70090*d. Let m(s) = 473*c(s) - 2*h(s). Determine f(m(q)).
602*q
Let o(h) = 46 - 23 + 24*h - 10*h - 23 - 11*h. Let a(w) = -7*w - 2. Let d(t) = 6*t + 2. Let m(r) = -4*a(r) - 5*d(r). Calculate m(o(u)).
-6*u - 2
Let i(b) = 1324*b. Let t(k) = -2460*k. Give t(i(r)).
-3257040*r
Let k(n) be the first derivative of -62/3*n**3 + 2*n + 0*n**2 - 122. Let f(u) = u - u**2 - u. What is k(f(j))?
-62*j**4 + 2
Let w(c) be the third derivative of -c**4/12 + 23*c**2. Let g(d) = 26205*d**2 + 26197*d**2 - 52377*d**2. What is g(w(l))?
100*l**2
Let r(t) = -3*t. Let j(z) = -6*z**2 - 1978. What is j(r(k))?
-54*k**2 - 1978
Let a(j) = 2*j. Let i(p) = -p**2 + 12*p - 22. Let t be i(12). Let q(u) = 23*u + 8. Let w(c) = t*a(c) + 2*q(c). Let o(y) = -y**2. Determine o(w(l)).
-4*l**2 - 64*l - 256
Let u(c) be the second derivative of 22*c**3/3 - 7*c**2/2 - 28*c. Let l(s) = 30*s - 4. Let h(t) = -8*l(t) + 5*u(t). Let k(n) = 2*n**2. Calculate k(h(o)).
800*o**2 + 240*o + 18
Let g(z) = -184487*z. Let x(q) = 14*q. Give x(g(o)).
-2582818*o
Let r(w) be the second derivative of -11/12*w**4 + 0*w**3 + 10 + 5/2*w**2 + 2*w. Let a(d) = -d. Give a(r(j)).
11*j**2 - 5
Let o(d) be the third derivative of 1/20*d**5 + 0*d**4 + 0*d + d**2 + 0*d**3 + 79. Let z(g) = 13*g. Give o(z(a)).
507*a**2
Let n(f) = 2*f - 6802. Let x(u) = -485*u. What is n(x(c))?
-970*c - 6802
Let n(w) = 26683*w. Let h(b) = 803*b**2. What is n(h(q))?
21426449*q**2
Let v(f) = -128137*f**2 - 3 + 128095*f**2 + 3. Let u(g) = -4*g. What is u(v(m))?
168*m**2
Let t(u) = 20*u. Let q(r) = -617879*r. What is t(q(w))?
-12357580*w
Let s(p) = 2*p. Let k(u) be the first derivative of 6*u + 6 + 1/4*u**4 + 0*u**2 + 0*u**3. Let m(t) be the first derivative of k(t). Determine m(s(v)).
12*v**2
Let p(o) = 2*o. Let d(w) = 12*w. Let g(c) = -2*d(c) + 14*p(c). Let z(j) = j**3 - 11*j**2 + 2*j - 5. Let f be z(11). Let n(r) = -r + 17 - f. Give n(g(v)).
-4*v
Let b(y) = -y**2. Let s(o) = -14*o + 2. Let n(m) = 4796*m - 654. Let q(f) = -n(f) - 327*s(f). Determine q(b(g)).
218*g**2
Let a(n) = -9729*n + 846. Let l(g) = 139*g - 12. Let h(o) = 4*a(o) + 282*l(o). Let r(j) = -6*j. What is h(r(b))?
-1692*b
Let q(p) be the first derivative of 2*p**2 + 5. Let o(u) = -21*u**2 - 7*u - 6. Let x(c) = -18*c**2 - 6*c - 5. Let y(v) = 5*o(v) - 6*x(v). What is q(y(l))?
12*l**2 + 4*l
Let h(j) = 27*j + 14. Let a(w) = -54*w - 29. Let f(i) = 6*a(i) + 10*h(i). Let g(z) = 19*z + 12. Let u(s) = 6*f(s) + 17*g(s). Let x(m) = -44*m**2. Give u(x(n)).
44*n**2
Let s(q) = -103*q + 2. Let r(a) = 10754*a - 209. Let m(c) = 6*r(c) + 627*s(c). Let v(l) = 7*l. Give v(m(i)).
-399*i
Let n(q) = 2*q. Let l(m) be the first derivative of -26*m + 10/3*m**3 + 0*m**2 + 21. Let k(r) be the first derivative of l(r). Calculate n(k(s)).
40*s
Let d(w) be the third derivative of -w**6/360 - 43*w**3/6 - w**2 - 3*w. Let t(a) be the first derivative of d(a). Let c(l) = 28*l**2. Give c(t(y)).
28*y**4
Let l(y) = y**2. Let z(b) = -2*b + 1620. Let a(n) = -819. Let k(h) = 5*a(h) + 2*z(h). Determine l(k(v)).
16*v**2 + 6840*v + 731025
Suppose 2*i - 56 = -4*v, -4*i = -v - 75 - 19. Let c(j) = i + 5 + j - 29. Let q(m) = -48*m**2. Calculate q(c(s)).
-48*s**2
Let j(a) = -174*a**2. Let u(x) = -28*x - 1309. What is u(j(q))?
4872*q**2 - 1309
Let f be (-77)/(-35) + 1/(-5). Let t(u) = -f*u + u + u - 2*u. Let b(k) be the first derivative of k**3 - 24. What is b(t(n))?
12*n**2
Let g(d) = -26*d. Let r(s) = -2*s - 10. Suppose 31*q = 30*q + 4. Let f(z) = -z - 8. Let j(a) = q*r(a) - 5*f(a). What is g(j(n))?
78*n
Let r(c) = 234*c + 193. Let g(b) = 29*b. What is r(g(m))?
6786*m + 193
Let z(h) = -h - 6. Let o be -35*(40/(-260) + (-98)/(-130)). Let w(b) = -12*b - 63. Let x(f) = o*z(f) + 2*w(f). Let u(t) = 24*t. Give x(u(p)).
-72*p
Let y(l) = -3*l + 1. Let m(k) = 13*k - 5. Let j be (-4 - (-1 - 4))*-5. Let q(d) = j*y(d) - m(d). Let c(w) = 4*w. Calculate c(q(i)).
8*i
Let h(o) = -65*o + 8. Let y(g) = -730*g + 90. Let s(z) = -45*h(z) + 4*y(z). Let c(q) = 17*q**2 - 1. Determine s(c(n)).
85*n**2 - 5
Let c(k) = -2*k + 17. Let b(t) be the first derivative of 133*t**3/3 + 6919. Calculate c(b(m)).
-266*m**2 + 17
Let m(y) = 17*y**2. Let n(o) = -263*o**2 + 2*o - 177. Give n(m(z)).
-76007*z**4 + 34*z**2 - 177
Let c(o) = -4*o + 2. Let j(f) = -1205048*f. Determine j(c(l)).
4820192*l - 2410096
Let q(v) = -307*v + 23. Let k(i) = i - 103. Give q(k(h)).
-307*h + 31644
Let k(t) be the second derivative of 2*t**3/3 + 1416*t + 1. Let f(m) be the second derivative of 32*m**3/3 + 7*m + 1. Determine f(k(l)).
256*l
Let s(b) = -5282*b**2. Let v(o) = -12222*o. Give v(s(w)).
64556604*w**2
Let f(r) = -21*r**2. Let t be 2 - (4 - (6 - (-6)/3)). Let a be (((-24)/7)/t)/(2/(-7)). Let u(i) = 872*i**2 - a + 2 - 869*i**2. Calculate f(u(x)).
-189*x**4
Let s(h) = 141*h**2. Let l(y) be the first derivative of 2*y**2 + 2984. Calculate s(l(i)).
2256*i**2
Let g(s) = 2*s. Let a(h) = -460*h**2 - 45*h + 45. Let x(y) = -2*y**2 - 11*y**2 + 4 - 4*y - 20*y**2 - 9*y**2. Let d(c) = -4*a(c) + 45*x(c). What is d(g(k))?
-200*k**2
Let x(w) = -10*w + 4. Let u(d) be the second derivative of -7*d**3/6 + 90*d - 4. Calculate x(u(t)).
70*t + 4
Let h(w) be the second derivative of -3*w**3/2 - 12*w. Let v(r) be the first derivative of -2*r**2 + 669. What is v(h(d))?
36*d
Let d(u) = -4*u + 114. Let h be d(21). Let f(k) = h*k**2 + 39*k**2 + 33*k**2 - 103*k**2. Let y(x) = 15*x. What is y(f(a))?
-15*a**2
Let q(w) = 5522203*w. Let g(s) = 4*s**2. Calculate g(q(v)).
121978903892836*v**2
Suppose -5*g = -11 - 99. Let d(n) = -33*n - g*n + 36*n. Let f(t) = t**2 - 15*t + 15*t. Determine f(d(q)).
361*q**2
Let y(n) = -22*n. Let g = -155 + 157. Let l(b) = 3*b**2. Let p(j) = -2*j**2. Let x(q) = g*p(q) + l(q). Determine x(y(w)).
-484*w**2
Let o(n) = 60*n**2 + 10*n. Let l(c) = -31*c**2 - 6*c. Let j(u) = 5*l(u) + 3*o(u). Let w(f) be the second derivative of 5*f**4/12 + 19*f. What is w(j(p))?
3125*p**4
Let d(p) = 4*p. Let k(j) = j**3 - 18*j**2 + 17*j + 2. Let c be k(17). Let v(z) = 3*z**2 - 15*z**c + 0*z**2 + 9*z**2. What is v(d(b))?
-48*b**2
Let t(x) be the second derivative of -3*x**3 - 58*x. Let y(f) = -6*f + 5. Let o(a) = -a + 1. Let m = 23 + -24. Let n(j) = m*y(j) + 5*o(j). Calculate t(n(k)).
-18*k
Let w(l) = -2*l**2. Suppose 0 = -4*i + 80 + 20. Let a(m) = -i*m**2 + 1 - 4 + 12*m**2. Determine a(w(u)).
-52*u**4 - 3
Let v(i) = -27*i**2 - 6*i. Let o(t) = 418*t**2 + 93*t. Let a(s) = 2*o(s) + 31*v(s). Let b(h) = -148*h - 9. Determine a(b(j)).
-21904*j**2 - 2664*j - 81
Let y(j) = 11*j + 10 - 10510*j**2 + 10533*j**2 - 18*j. Let s(b) = -2*b**2. Calculate y(s(d)).
92*d**4 + 14*d**2 + 10
Let p(i) = -i. Let y(w) be the third derivative of -2899*w**4/24 + 78*w**2 - 17. Determine y(p(q)).
2899*q
Let p(h) = -3*h**2 - 2. Let z(x) = -2*x**2 + 4*x - 2898. What is z(p(s))?
-18*s**4 - 36*s**2 - 2914
Let j(o) = 192*o + 5. Let g(t) = 71*t + 2. Let n(f) = 8*g(f) - 3*j(f). Let w(d) = d + 1. Calculate w(n(x)).
-8*x + 2
Let x(b) = -14*b**2. Let l(w) = 105870*w. Calculate x(l(p)).
-156918396600*p**2
Let r(v) be the third derivative of v**4/12 + 30*v**2 + 29*v + 3. Let t(d) = 10650*d. What is t(r(u))?
21300*u
Let t = 39 - 37. Let y(j) = 500 - 500 - 2*j**t. Let w(o) = -o - 1. Let d(x) = -41*x - 2. Let z(q) = d(q) - 2*w(q). Calculate z(y(v)).
78*v**2
Let b(u) = 4*u. Suppose -31*f - 8 = -27*f. Let w(j) = 3*j - 1. Let n(x) = 64*x - 24. Let v(d) = f*n(d) + 48*w(d). Determine b(v(s)).
64*s
Let j(z) = 11*z**2 - 6*z. Let s(h) = -382611*h. What is s(j(b))?
-4208721*b**2 + 2295666*b
Let f(i) = -i**2 + 2. Let n(x) = 63*x**2 - 2*x + 25. Let l(t) = 8*f(t) - n(t). Let c(u) = -2*u**2. Calculate l(c(a)).
-284*a**4 - 4*a**2 - 9
Let y(l) = -207*l**2 - 2*l - 421. Let g(n) = n + 389. What is g(y(a))?
-207*a**2 - 2*a - 32
Let u(c) = -22513*c**2. Let p(o) = 169*o**2 - o. What is p(u(f))?
85655143561*f**4 + 22513*f**2
Let j(k) = -14*k**2 - 257*k - 40. Let b(u) = 9*u**2 + 171*u + 25. Let n(d) = -8*b(d) - 5*j(d). Let x(g) = 9*g. Determine n(x(r)).
-162*r**2 - 747*r
Let h(p) = 386*p**2 + 7. Let v(r) = -770*r**2 - 16. Let z(y) = 9*h(y) + 4*v(y). Let t(x) = x**2. Determine t(z(i)).
155236*i**4 - 788*i**2 + 1
Let a(x) = 752*x. Let m(y) = 2*y**2 - 3. Let n(f) = -2*f**2 + 4. Let o(g) = -4*m(g) - 3*n(g). Calculate o(a(h)).
-1131008*h**2
Let t(n) = 6*n. Let u(l) | {
"pile_set_name": "DM Mathematics"
} |
- 2 + 2)).
-22*m**2
Expand (5 - a - 5)*(24 + 0 - 4).
-20*a
Expand (0*b + 5*b - 3*b)*(-71 + 12*b + 71)*(1 + 1 + 1).
72*b**2
Expand -g**4 + 8*g**4 + 3*g**4 + (4*g**3 - 3*g**3 - 3*g**3)*(3*g - 3*g + g).
8*g**4
Expand (0*z - 4*z + 3*z)*(4*z - 5*z + 0*z) - 65 + 65 - 26*z**2.
-25*z**2
Expand (w + 4 - 4)*(-w**3 + 0*w**3 - w**3)*(-4 + 4 + 2) + 0 + w**4 + 0.
-3*w**4
Expand (3 + 3 + 2)*(-3 + 9*u - 8*u + 0*u).
8*u - 24
Expand (0*t - 3*t + 7*t)*(t - t + t) - 3*t + 3*t + 2*t**2 - 3*t.
6*t**2 - 3*t
Expand v**5 + 25*v**5 + 2*v**5 + (1 - 1 - v**4)*(-2*v - 2*v + 2*v).
30*v**5
Expand (-4*n**2 - n**2 + 3*n**2)*(5 + 4 - 7*n - 7).
14*n**3 - 4*n**2
Expand -2*c**3 + c**3 - c**3 + (0 + 5*c + 0)*(4 + 3*c**2 - 4).
13*c**3
Expand (9*i**3 + 3*i**3 - 3*i**3)*(3 - 1 - 1) - i**3 + 2*i - 2*i.
8*i**3
Expand (-u**2 - 2 + 2)*(-29 + 4 - 1).
26*u**2
Expand -4*o**3 - 3*o**3 + 6*o**3 + (o**2 + 0*o**2 + o**2)*(0 + 0 - o) + 3*o**3 + 0*o**3 - o**3.
-o**3
Expand (-y**2 + y**2 - 5*y**3)*(3 + 3 - 4) + 3*y**2 + y**2 - y**2 + y**3.
-9*y**3 + 3*y**2
Expand (4*b - 3*b + 2*b)*(-b**2 + 4*b**2 + 3*b - 2*b**2).
3*b**3 + 9*b**2
Expand -4*l**2 + 2*l**2 - 7*l**2 - l**2 - 2 + 2 + l**2 + l**2 - l**2 + (4*l - 4*l - 2*l)*(0 - l + 0) + (1 - 1 - 1)*(-2*l**2 + 0 + 0).
-5*l**2
Expand (-3*g**2 + g**4 + 3*g**2)*(-15 - g + 15) + g**5 + g**5 + g**5.
2*g**5
Expand (4*l + l - 4*l)*(-4*l + 3*l + 3*l) + (2*l + 0*l + l)*(-4*l + 3*l - 4*l) - l + l + l**2.
-12*l**2
Expand (17*v - 70 + 70)*(-v + 4 - 4).
-17*v**2
Expand (-8 + 8 + 8*t)*(-1 + 0 - 2)*(3*t**2 - t**2 - 3*t**2).
24*t**3
Expand (2*t + 2*t - t)*(-2*t - 3*t + 4*t) + 3 - 3 + 2*t**2 + (-t + 1 - 1)*(-2*t + 2 - 2) - 3*t + 3*t + 2*t**2 - t**2 - 3*t**2 + 2*t**2.
t**2
Expand f**5 + 3*f**5 - 5*f**5 + (-3*f + 2*f + 3*f)*(f**4 - 3*f**4 + 0*f**4).
-5*f**5
Expand (3 + 3 - 7)*(3 - 1 - 1)*(-11 + 11 + 7*f**4).
-7*f**4
Expand 6*f**2 + 4*f**2 - 5*f**2 + (2 + f - 2)*(-f + 0*f - f) - 5*f**2 + 5*f**2 - f**2.
2*f**2
Expand 4*o - o - 2*o + 14*o - 6*o - 39*o + (2*o - o - 2*o)*(2 + 1 - 1).
-32*o
Expand (4*m - 1 + 3 + 0)*(-m + 0*m - 2*m)*(3*m - 3 + 3).
-36*m**3 - 18*m**2
Expand 4*d**2 - 4*d**2 + 2*d**2 + (2*d**2 - d + d)*(0 - 2 + 0).
-2*d**2
Expand 0*y + 0*y - 2*y**5 + (2*y**4 - y**2 + y**2)*(y + 3*y + y).
8*y**5
Expand (0 + 0 + 2)*(5*q + 5*q - 26*q)*(0 - 3 + 1)*(q**2 - 3*q**2 + 0*q**2).
-128*q**3
Expand (0*f - 3*f + f)*(2*f**2 - 3*f**2 - 3*f**2) + (3*f**2 + f**2 - f**2)*(-3 - f + 3).
5*f**3
Expand (-4 + 2 + 14)*(3*k**2 - 2 + 2)*(k**3 - 2 + 2).
36*k**5
Expand (-182*l - 6 + 184*l - 3)*(0 + 2*l + 0).
4*l**2 - 18*l
Expand (4*f - 12*f - f)*(-2 + 0 + 4).
-18*f
Expand 103*r**4 - 103*r**4 - 32*r**5 + (r**5 - r**2 + r**2)*(1 + 1 - 1).
-31*r**5
Expand (h + 0*h + h)*(0*h - h + 0*h - 2*h - h + h + (-3 - 3 + 5)*(-4*h + 4*h + 2*h) - 2*h - 3*h + 3*h - 2*h - 41 + 41).
-18*h**2
Expand (t - 4*t + 13*t)*(7*t + 3 - 3).
70*t**2
Expand (-4 + 0 + 5 + 2 + 0 - 1 + (-2 + 4 + 0)*(1 - 5 + 3) - 1 + 1 - 2 - 2 + 3 - 3)*(4*f - 4*f + 4*f).
-16*f
Expand (-5 + 2 + 2)*(5*n + 0*n - 3*n) - 2*n - 2*n + 2*n - 4 + 4 + n + 0*n - 4*n + 2*n + (3 - 6 + 1)*(2*n - 1 + 1) - 3*n - n + 5*n - 4*n + n + n.
-10*n
Expand (-4*o**3 + 4*o**3 - 2*o**3 + (5 + o**3 - 5)*(4 - 4 - 1))*(-4 + 3 - 1)*(13*o + 10 - 10).
78*o**4
Expand ((-3 + 4 + 3)*(l + 4*l - 2*l) - 3*l + 5*l - l + (0 + 6 - 3)*(0 + 0 - l))*(3*l + l**2 - 3*l).
10*l**3
Expand (d**5 - d**5 - d**5)*(-3 + 5 - 3) + 27*d**5 - 9*d**5 + 9*d - 15*d**5.
4*d**5 + 9*d
Expand -5*r**4 + 4*r**4 - 3*r**4 + (2*r**3 + 2*r**3 - 3*r**3)*(-4*r + 4*r + 2*r) + 7*r**4 - 3*r**4 + 5*r**4.
7*r**4
Expand (322 - 21*y**4 - 322)*(6*y - y - 2*y).
-63*y**5
Expand (-27*n - 19*n - 11*n)*(-2*n**4 + n - n).
114*n**5
Expand (5 + 2*h - 5 + (-2*h + 0*h + h)*(0 + 0 - 1) + 7*h + 2*h - 2*h)*(2 - 3 + 2).
10*h
Expand (3 - 3 - 35*a)*(1 + a**3 - 1).
-35*a**4
Expand (f + 276*f**2 + f - 304*f**2)*(2*f + 2*f - 5*f) + f**3 + f**3 - 3*f**3.
27*f**3 - 2*f**2
Expand (-1 + 1 + 2)*((5 - 5 + 2)*(-2 - 4 + 4) - 3 + 2 - 1)*(-4*b + 3*b + 9*b).
-96*b
Expand (2*a + a**4 + 5*a - 3*a)*(-1 + 2 + 0).
a**4 + 4*a
Expand 2*v - v + 2*v + (-2 + 0 + 4)*(2*v + 0*v - v) + 3*v + 2*v - 3*v.
7*v
Expand (-2*g + 3*g - 3*g)*(-1 + 2 - 2) + 3 - 3 + g - 11 - g + 5*g + 14.
7*g + 3
Expand (0 + 2 + 0)*(-5*y**2 + 2*y**2 + 4*y**2 + (y - 7*y + 3*y)*(1 + 2*y - 1)).
-10*y**2
Expand (-5*y**4 + 2*y**5 + 5*y**4)*(-1 + 1 + 1) - 29*y**5 + 23*y**5 + 44*y**5.
40*y**5
Expand (2*w + 2*w - 2*w)*(4 + 4 - 18).
-20*w
Expand (-5 + 0 - 5)*(2*b - 2*b - b).
10*b
Expand (3*b + 17*b - 6*b)*(-b**2 + b**2 + 2*b**2).
28*b**3
Expand (2*q + 2*q - 6*q)*(7 + 6 + 1).
-28*q
Expand (4*p**4 - 3*p**4 - 2*p**4)*(-5 + p + 6 + 0*p).
-p**5 - p**4
Expand -2*s**2 + 2*s**2 - 2*s**4 + ((-2*s**2 + 0*s**2 + 4*s**2)*(-3*s - 2*s + 3*s) + 224*s**2 - 224*s**2 - 8*s**3)*(-s + 0 + 0).
10*s**4
Expand (2 - 1 + 1)*(5*w**2 - 4*w**2 + 3*w**2)*(0 + 0 - 1)*(-1 - 2 + 1).
16*w**2
Expand (4*g**2 - 2*g**2 + 0*g**2)*(0 + 3 - 1)*(-4*g + 4*g - 4*g) + 0*g**3 + 0*g**3 + g**3.
-15*g**3
Expand (o + 0*o - 3*o)*(-5*o - 2*o - 3*o + (-2 - 1 + 4)*(-o + o - o)).
22*o**2
Expand (5 - 3 - 1)*(0 + 3 - 5)*(-6*g + 6*g - 3 - g).
2*g + 6
Expand (-4 + 4 - 1)*(-108*p - 160*p + 47176 - 47176).
268*p
Expand (2 - 1 + 1)*(3*z**2 + 0*z**2 - 2*z**2) - 4*z**2 + z**2 + 5*z**2 - 3*z**2 - 2*z**2 + 3*z**2 + 48*z**2 - 46*z**2 + 61*z**2.
65*z**2
Expand 20*o**5 - 35*o**3 + 35*o**3 + (-1 - 1 + 4)*(-5*o**5 + 3*o**5 + 0*o**5).
16*o**5
Expand -403*b**2 - 28*b**5 + 403*b**2 + (b**3 - 1 + 1)*(b**2 + 2 - 2).
-27*b**5
Expand (2 - 2 + 1)*(4*k**3 + 0*k**3 + 0*k**3).
4*k**3
Expand (4*b + 3 - 3 - 2)*(-4*b - 3*b + 5*b).
-8*b**2 + 4*b
Expand 2*k**3 + 0*k**3 + 0*k**3 + (-3*k**2 + 0 + 0)*(-k - k - 2*k).
14*k**3
Expand (-1 + i + 1)*(5*i - 2*i**4 - 5*i) + (4*i**3 + i**4 - 4*i**3)*(3 - 3 - 2*i) + 9*i**5 - 6*i**5 + 3*i**5.
2*i**5
Expand 0*y**3 + y**3 - 2*y**3 + (-2*y + 3*y + y)*(-y**2 - 3*y**2 + 0*y**2).
-9*y**3
Expand (-1 + 1 + 3)*(q**5 + 0*q**5 + q**5) - 2*q**5 + 5*q**5 + 5*q**5.
14*q**5
Expand (3*z - 2*z**2 - 3*z)*(1 - 1 - z) + (10*z**2 + 8*z**2 - 7*z**2)*(2 + 2*z - 2).
24*z**3
Expand 29*z**5 - 83*z**5 - 64*z**5 + (-1 + 1 - z**2)*(3*z**2 - 3*z**2 - z**3).
-117*z**5
Expand (-d - 2*d + d)*(0*d + 2*d - 4*d) + 28*d + 10*d**2 - 5*d**2 - 6*d**2.
3*d**2 + 28*d
Expand (-3 - 1 + 1)*(-10*t**4 - t**5 - 5*t**5 + 7*t**5).
-3*t**5 + 30*t**4
Expand 0*k - k + 3*k + 4*k + 0*k - 3*k + (-2 - 2 + 6)*(-5*k + 4*k + 2*k) + 3 - 3 - k - k + 6*k - 4*k.
5*k
Expand (y**4 + 2*y - 2*y)*(4 + 0 - 2)*(5*y - 2*y + 5*y)*(-3 + 2 + 2).
16*y**5
Expand (-2*t**2 + t - t)*(2 - 2 - 2*t)*(3 - 3 + 2*t).
8*t**4
Expand (-7 + 7 + 2*f**2 - 3*f)*(-f**2 + 2*f**2 - 2*f**2).
-2*f**4 + 3*f**3
Expand -30*r - 44*r + 37*r + (r + 0*r - 2*r)*(2 - 4 + 3) - 2*r + 2*r + 2*r.
-36*r
Expand (0 - 5 - 3)*(0*k**4 + 2*k**4 - k**4).
-8*k**4
Expand (-4*l**2 + 4*l**2 + 2*l**4)*(-l + 3 - 3) - l**5 - l**5 + 0*l**5 + (0*l**2 + 2*l**2 + 0*l**2)*(-2*l - 2*l**3 + 2*l) - l**5 - 2 + 2 + l**5 - l**5 + l**5.
-8*l**5
Expand (2*l + l + 0*l)*(-l**4 - 2*l**4 + 5*l**4) + l**5 - l**5 + 2*l**5.
8*l**5
Expand (-2*w**2 - w**3 + 2*w**2)*(-w - w + w) - w**4 + 3*w**4 - 3*w**4 + (-1 + 3 - 3)*(-3*w**4 + 5*w**4 - 4*w**4).
2*w**4
Expand (-3*g + 1 - g + 2*g)*(0 + 2 - 3).
2*g - 1
Expand -2 + 2 - 2*q - 2*q + 5*q - q + (-4*q + 3*q + 3*q)*(-2 + 0 + 0).
-4*q
Expand (3*x**3 - x**3 - 3*x**3)*(-57 + 57 - 7*x).
7*x**4
Expand (k**2 + 0*k**2 + 0*k**2)*(2 + 1 + 0)*(2*k - k - 3*k).
-6*k**3
Expand (8*s + 22*s + 0*s)*(4*s**4 - 5*s**4 + 0*s**4 + (-4*s**2 + 3*s**2 + 0*s**2)*(2*s**2 + 1 - 1)).
-90*s**5
Expand (-1 - 2*u + 1)*(-1 + 1 - 1) + 0 + 0 + 3*u - 2*u - 2*u + 6*u - 4 - 1 + 2*u + 0.
9*u - 5
Expand (0 - 2*u**2 + 0)*(2 + 1 + 2)*(0 - 1 + 3).
-20*u**2
Expand (k**2 - 3*k**2 + 0*k**2)*(k**3 - k**2 + k**2) - 3*k + k**5 + 3*k + (-3*k**2 + 6*k**2 - 4*k**2)*(2*k**3 + 0 + 0).
-3*k**5
Expand (0 + l + 0)*(44 - 30 - 27).
-13*l
Expand (1 - 10 + 5)*((2*o - 3*o - o)*(2 - 2 + o**3) + o**4 - 2*o**3 + 2*o**3).
4*o**4
Expand (5*x + 2*x - 40*x)*(-2*x**2 + 2*x**2 + 2 + 2*x**2).
-66*x**3 - 66*x
Expand (4*d**5 + 0 + 0)*(-3 + 2 + 5).
16*d**5
Expand (-z**2 + z**2 - z**2)*(2*z - 2*z - 2*z**2) + 10*z**4 + 5*z**4 - 39*z**4.
-22*z**4
Expand 3*w**5 + 0*w**5 - 5*w**5 + (-w**3 + 4*w**3 - 2*w**3)*(3*w**2 - 2*w**2 - 3*w**2) + 0*w**5 - 2*w**5 + 0*w**5 + 25*w**5 + 176 - 176.
19*w**5
Expand (0 + 2 - 1)*(-1 - 2*r + 1) - 2*r - r | {
"pile_set_name": "DM Mathematics"
} |
n 3, -0.2, b?
-0.2
Let y be ((5 + 39/(-9))*-6)/2. Which is the nearest to 2? (a) -1/3 (b) 5 (c) y
a
Let x = 121/1344 + 1/192. What is the closest to x in -1, -0.1, 4?
-0.1
Let p = 147 - 373. Let b be p/46 + 15/3. What is the nearest to -1 in 4, b, 2?
b
Let u = 47 + -13.7. Let j = u - 31. Let k = 1.9 - j. What is the closest to 0.1 in 2, 1/3, k?
1/3
Let v = -0.021 - 0.539. Let h = v - -0.46. What is the closest to h in 0.2, -2, 0.3?
0.2
Let d = 113 + -112. Let y = -0.7 + 0.92. What is the nearest to -1 in d, -0.3, y?
-0.3
Let r = 28 + -31. Let z be r/15 + (-8)/(-8). What is the closest to 1 in z, 1/4, 5?
z
Let w = 3.045 - 0.045. Which is the nearest to w? (a) -3 (b) -3/5 (c) 1/4
c
Let i = -1.1 + 1. Let m = -0.22 - i. Let f = m + 0.32. Which is the closest to 0? (a) 4 (b) f (c) 2/7
b
Let x = 951.9 - 1037. Let o = x + 85. What is the nearest to -1/7 in o, 1, 0?
o
Let k = -5.5 + 6. Let q = 2.6 - 2.61. Which is the nearest to q? (a) k (b) -0.3 (c) -2/9
c
Let m = 0.066 - -39.934. Which is the closest to -1? (a) 4 (b) 5 (c) m
a
Let p be (-2)/(-6)*882/4. Let q = 73 - p. Which is the nearest to q? (a) 1/8 (b) 0.6 (c) -3
a
Let o = 0 + 0.2. Let d be (6/700*25)/(1/14). Which is the closest to d? (a) 2 (b) 5/6 (c) o
a
Let s = -9195 - -9196. Let z = -1.7 - -2. Let f = z + 0.2. Which is the nearest to s? (a) 3 (b) f (c) -8
b
Let y = -4 + 1. Let n(h) = -2*h - 8. Let d be n(-7). Let s = 8 - d. What is the nearest to s in -0.4, 4, y?
4
Let n = 436 + -438. Which is the nearest to 2/9? (a) -3/2 (b) -0.1 (c) -0.024 (d) n
c
Let m be (-1)/6 + 377/(-78). What is the closest to 1/2 in -0.4, m, 0.4?
0.4
Let d be ((-6)/(-10) + 120/(-75))/13. What is the closest to d in -0.5, 4, 3?
-0.5
Let u = 0.5 + 0. Let k = 0.4 - u. Let z = k - -0.3. Which is the closest to 0.3? (a) 2/11 (b) z (c) 4
b
Let o = -0.131 - -68.131. Let y = 68.3 - o. What is the nearest to -0.2 in -5, y, -0.3?
-0.3
Let y = 0.05 + 0.13. Let d = -0.02 - y. Let i = d + 0.1. Which is the closest to -0.1? (a) 1/3 (b) 1 (c) i
c
Let i = -968 + 967.88. What is the closest to -1 in 4, i, 0.1, 5?
i
Let o = 249 + -251. Let y = -0.3 + 0.34. Which is the nearest to o? (a) 4/9 (b) 0.2 (c) y
c
Let p = 7.4 - 7. Suppose 4*k - 16 = 2*r + 4, -2*r = 0. Which is the nearest to -1? (a) p (b) -5 (c) k
a
Let g = 74 - 73. Which is the closest to -2/3? (a) -3 (b) g (c) 0.5 (d) -2
c
Let j = -118.2 + 119. What is the nearest to 2/3 in 1/4, -1/3, j?
j
Let w = 75.3 + -74.9. What is the nearest to -10 in -0.1, -0.4, -0.5, w?
-0.5
Suppose -10 = -3*h - 2*m, -h + 2*m + 11 + 3 = 0. Let u(d) = -10*d + 57. Let x be u(h). Which is the nearest to 0? (a) -1 (b) x (c) 0.1
c
Let g = 5/48 + -7/272. Let r = g + -7/17. Which is the closest to r? (a) -6 (b) 1/2 (c) 1/7
c
Let k(d) = -d**2 + 2*d + 2. Let r be k(0). Let o be 225/(-60) + 1 + r. Which is the closest to 0.3? (a) 3 (b) o (c) -0.2
c
Let x = -54.055 + 0.055. Let p = x - -52. What is the closest to 3 in 0.2, -0.3, p?
0.2
Let z = 1 - 0.9. Let c = 282 - 164. Let u = -117.9 + c. What is the closest to z in u, 3, -1?
u
Let y = -117 + 119. Which is the closest to -2.8? (a) y (b) 0.5 (c) -0.1
c
Suppose 3*o - 5*o + 6 = 0. Let p be o + 2*-1 - (-44)/(-36). Let g = -3 + 3.2. Which is the nearest to p? (a) g (b) 0 (c) -3
b
Let t = -3.995 + 4.395. Let r = 4 - 8. Which is the nearest to r? (a) -0.1 (b) t (c) -1/9
c
Let i = -336 + 337. What is the closest to -3/4 in -1, i, -2/7?
-1
Let y = -213 + 212. Which is the nearest to 3? (a) -5 (b) y (c) 2/5
c
Let s = -0.312 - -0.312. Let v = 21.1 + -21. Which is the closest to s? (a) 4 (b) 2 (c) v
c
Let a = -3992.3 - -3992. Let y = -233/4 - -58. Let o = -2.02 - -0.02. What is the closest to -0.1 in y, o, a?
y
Let d = -3279 - 1381. Let z = 23449/5 + d. Let b = z + -30. What is the nearest to -0.1 in b, 0.5, 0.1?
b
Let v = -1445/7 + 206. Which is the nearest to 1? (a) -0.4 (b) v (c) 1
c
Let a = 11.255 + -0.155. Let p = a - 11. What is the nearest to p in 0, -5, 1?
0
Let n = 1/405 + -91/405. Which is the closest to 0? (a) -0.4 (b) -1.2 (c) n
c
Let q(l) = -l**2 + 14*l - 8. Let a be q(14). Let x be (-3)/((-4)/a + 1). Let d be (5/(-30))/(x/4). What is the nearest to 3 in -3/4, 1, d?
1
Let b = -40 - -121. Let y = b + -84. What is the nearest to 0.1 in y, -0.03, -1/2?
-0.03
Let s(x) = x + 30. Let j be s(-21). Suppose w = j*w. What is the closest to w in 4, -0.5, -2/11?
-2/11
Let u = 56 - 48. Let p be 62/24 + u/(-32) - 3. Which is the closest to 0.1? (a) p (b) -1 (c) 1/4
c
Let q = 398/15 + -80/3. What is the closest to 0.2 in 25, -4, q?
q
Let u = -7/2 + 15/4. Let c = -0.029 + -22.971. Let m = 25 + c. What is the nearest to 3 in u, -5/3, m?
m
Let q = 5.5 + -74.5. Let x = -69.9 - q. Which is the closest to -0.2? (a) 0.2 (b) x (c) 0.4
a
Let l = 633/4 + -7019/44. Let o = l - -65/77. Which is the closest to 1? (a) 0.2 (b) o (c) -0.4
a
Let h = -1.047 + 0.047. What is the closest to h in 0.1, 4.8, -2, 1/5?
-2
Let l = -0.08 - 0.92. Let q = -263/726 - -7/242. Which is the closest to l? (a) q (b) 1/6 (c) 5
a
Let l = 0.2 - -0.3. Let h = -740/9 + 5929/72. What is the closest to -0.1 in l, h, 9?
h
Let y = -0.4 + 4.4. Let v(u) = u**3 + 22*u**2 + 42*u + 31. Let d be v(-20). Which is the nearest to d? (a) y (b) -5 (c) -1/3
b
Let w = -5.1404 + 0.1404. Which is the closest to 1? (a) -59 (b) w (c) 4
c
Let z be (5/4)/(1/(-4)). Let i(v) = 54*v - 2. Let h be i(0). Which is the nearest to h? (a) 5 (b) 0.3 (c) z
b
Let d = -0.4 + -5. Let q = -6.4 - d. Which is the nearest to q? (a) -2 (b) -2/9 (c) 5
b
Let j = -3.5 - -3. Let l = -1/422 - 417/2110. Which is the nearest to l? (a) 0.3 (b) -5 (c) j
c
Let s = -83.1 - -83. Which is the nearest to 0? (a) -7 (b) s (c) 1/3
b
Let h = 133.2 - 133. Which is the nearest to 5? (a) -1 (b) 0.1 (c) h
c
Let k = -1816.3 + 1816. Which is the closest to -12? (a) 1/8 (b) k (c) 4 (d) -3
d
Let n = 0.071 - 0.171. Let r = -1.4 - -1. Let g = 0.7 + r. What is the nearest to n in -0.1, -2, g?
-0.1
Let t = -22 - -22.13. Let g = t + -0.43. Let x = 625/7 - 89. Which is the nearest to 1/3? (a) x (b) g (c) 3
a
Let w = 23 - 23.5. What is the closest to -1 in w, 0, 0.3?
w
Let s = 2677/7 + -380. Which is the nearest to 2? (a) 1 (b) 0.2 (c) s
c
Let n = 8 - 12. Let t = -8692.9 + 8693. Let h = 0 + 0.05. Which is the nearest to h? (a) n (b) t (c) 3/2
b
Let j(y) = 10*y + 3. Let u be j(9). Suppose -4*h + 17 - 1 = 0, -5*k - 2*h + u = 0. Let t = 18 - k. What is the closest to -1 in -1/7, t, 3/2?
-1/7
Let b = 9 - 5. Let k be ((-232)/40 - -5) + 26/70. What is the nearest to 0.3 in k, 2/13, b?
2/13
Let j = -59 + 48. Let t = -16 - j. Which is the nearest to 2? (a) 3/8 (b) 2 (c) t
b
Let o = -0.2 - 2.8. Let v = -1/171564 + -27621569/40317540. Let s = -4/47 - v. Which is the closest to 1/4? (a) -1 (b) o (c) s
c
Let h = -10 - -6.2. Let b = 4 + h. Let v = -22.2 + 21.2. What is the closest to b in -3, 1/5, v?
1/5
Let l = 9646 + -9645.6. Let q = -0.2 - -0.3. Which is the closest to q? (a) 0.7 (b) l (c) -4
b
Let d = -1625.04 + 1664. Let c = d + -39. What is the nearest to c in 2/9, 3/4, -0.4?
2/9
Let g = -0.19 + 0.39. Let d be -2*((-20)/16)/(-5). Which is the nearest to g? (a) d (b) -0.1 (c) 3/2
b
Let g = -8.8 + 10. Let c = 0.8 + g. Let h = 8 - 3. What is the nearest to 0.2 in 0, h, c?
0
Let u = -145/66 + 26/11. Let n = -42 + 70. Let i = -29 + n. Which is the closest to i? (a) -0.06 (b) u (c) 2
a
Let x = -4/7 + 6/7. Let g = 1417/2 - 708. Which is the nearest to -0.3? (a) 1 (b) g (c) x
c
Let m be (-455)/(-70)*2/26. Which is the nearest to 13? (a) -1 (b) m (c) -5
b
Suppose -6*i = -10*i + 4. Which is the nearest to -3? (a) -5 (b) -0.4 (c) i
a
Let k = -17 - -12. Let m = 724.6 - 725. Which is the closest to m? (a) k (b) -4 (c) 4
b
Let t = 35 - 11. Let q = t - 70/3. Let l = -23 - -27. What is the closest to q in -0.1, 0.4, l?
0.4
Let d = -36.3 + 38. Let h = -2.63 + 0.83. Let y = d + h. Which is the nearest to 1/4? (a) y (b) -1/3 (c) -6
a
Let c = -52.02 - 1.98. What is the nearest to -1/3 in c, 0.2, 1?
0.2
Let k = 391 - 386. What is the closest to 1 in 2, k, 3, -10?
2
Let v = 2.2 - 2. Let b = 22.647 + -0.247. Let u = 22 - b. What is the nearest to 1/3 in v, 2/5, | {
"pile_set_name": "DM Mathematics"
} |
ch is bigger: j or -207/19?
-207/19
Suppose 4*i = 3*p - 659, i + 390 = 2*p - 41. Is p at least as big as 212?
True
Let d be (-21)/1*(-55)/33. Let w = d + -44. Which is smaller: w or -10?
-10
Let g = 19122861/2968550 - 32/114175. Let t = 155/26 - g. Which is smaller: 1 or t?
t
Suppose -3*k = -5*m + 47, 4*k + 4*m - 9*m = -56. Which is greater: k or -10?
k
Suppose 0 = -2*h + 2*x + 44, -h = 2*h - 2*x - 63. Suppose 3*y + 5*f = h, -4*f + 28 = 2*y - 6*y. Let w be -3 + ((-27)/(-15) - y). Which is greater: w or 1?
1
Let n = -0.1 + 2.1. Suppose 2*a = -5*l - 35, -l - 11 = 4*a - 4. Which is bigger: n or l?
n
Suppose -5*r + 150 = -i, r = 25*i - 22*i + 30. Which is bigger: r or 20?
r
Let r be (-1)/(-2)*(-2)/(-26)*74. Which is greater: 4 or r?
4
Let o be 6/(-10) + -1 + (-482)/(-300). Let j = -17/1950 - o. Which is smaller: -1 or j?
-1
Let s(u) = -u + 5. Let v be s(-4). Suppose 4*x + 3 = -5. Let k(p) = 2*p**2 - 2*p - 3. Let l be k(x). Is l less than or equal to v?
True
Let c = -401 - -400.9. Which is smaller: 4 or c?
c
Suppose 4*h = 2*o + 22 - 8, -3*h + 38 = 4*o. Suppose -f - h = 6. Is f greater than or equal to -11?
False
Suppose -114 = -3*l - 0*l. Suppose 0 = -2*g - 0*g - l. Let f = g - -12. Are f and -9 unequal?
True
Let d be ((-6)/(-4))/(7/(-28)). Let r be 13*-1 + d/3. Let h be (15/20)/(r/8). Which is smaller: h or 1/4?
h
Suppose 390*i = 385*i + 735. Let m = -148 + i. Is -10/31 < m?
False
Suppose 0 = -f + 3 + 2. Suppose f*z - 5*p = 90, -4*z = -p + 2*p - 72. Is z < 18?
False
Let o(d) = d + 1. Let z be o(2). Suppose 24 = -0*g + z*g - 3*i, 3*i + 30 = 5*g. Let b be 0*(21/(-6) + g). Which is smaller: 10 or b?
b
Let i(u) = u**2 - 8*u + 4. Let s be i(10). Suppose 4*v - 92 = -s. Which is smaller: v or 14?
14
Let i = -7 + 10. Let j(t) = -6*t. Let x be j(i). Let y be 2/x*12/10. Is y bigger than 0?
False
Let f = 17 + -4. Suppose 61*h + 48 = 65*h. Which is smaller: h or f?
h
Suppose -12 = -3*u + 3. Suppose b - u = 6*b. Let t be 1 + b + (-1 - -2). Is 0 greater than or equal to t?
False
Suppose -2*y - 2*y = -3*r, 5*y = -15. Suppose -121 = -2*f + 7*f - 3*m, f + 2*m + 32 = 0. Let p = f - -23. Is r > p?
False
Let v = -2338 + 151966/65. Which is bigger: 1 or v?
1
Let x be 3/(-2) - 114/(-60). Suppose 4*t = 7 + 69. Which is bigger: t or x?
t
Let t be 1/((-1)/(-2)) - 138. Let g be t/(-70) - (-4)/20. Is g smaller than 2?
False
Suppose 9*w = 7*w + 8. Let k = 4 - w. Is -2/135 at least k?
False
Let j = 0.38 + -0.08. Suppose -z + 2 = -u + 2*u, 4*z - 18 = u. Is u less than or equal to j?
True
Let c = 19.6479 - 0.4379. Let i = c - 0.21. Which is greater: -1 or i?
i
Let s be (-5)/(-70) - (-614746)/308. Is s equal to 1995?
False
Let g be (-9)/15*(-120)/72. Which is smaller: -1/693 or g?
-1/693
Let g = 34 + -36. Suppose h - 22 = -5*k, -h - 3*k = k - 17. Let w be (1*1*h)/(-1). Which is greater: g or w?
w
Let d(v) = -11*v**2 + 6*v - 1. Let m be d(1). Which is smaller: -36/5 or m?
-36/5
Let k = -332.2 + 332. Is 85 smaller than k?
False
Suppose 0 = -2*h - 4*h - 6. Let n(l) = l + 6. Let c be (-1*14)/(0 - -2). Let z be n(c). Is z less than h?
False
Let j be 1/6 + (-242)/12. Let q be (-22)/j + 13/(-26). Is 1 less than q?
False
Suppose -4*a + a + 12 = v, 0 = -v - 5*a + 20. Let y = 4 - v. Let n be -2*1/y*0. Which is bigger: -1/3 or n?
n
Let i = -1176686/657 + 1791. Which is greater: -1 or i?
i
Let u = 17 + -6. Let v = -19 + u. Let h = -9 - v. Is -3 equal to h?
False
Let v = -3896 - -3896.01. Let n = -3 - -7. Do n and v have different values?
True
Let g = 29.35 - 0.35. Which is smaller: g or 0.9?
0.9
Let r = -2/37 - -43/111. Let v be 0/(-3 - (-2 - -2 - 2)). Suppose v*h = -4*h + 4. Are h and r non-equal?
True
Suppose -62*n + 57*n = -115. Is n > 6?
True
Let j = -9 - -12. Suppose r - j = 1. Suppose 0 = -5*m + r*p + 37, 0 = p + 7 - 4. Which is bigger: 6 or m?
6
Suppose -s = -3*g + 11, 4*s - s = 5*g - 45. Let k = 21 + s. Which is greater: 1/3 or k?
k
Let b = 95.3 + -96. Which is smaller: -4/9 or b?
b
Suppose 9 - 4 = v. Suppose -q + 4 = -v*q. Let t = 33/25 - 1997/1475. Are q and t non-equal?
True
Let w be 25496/57 - (-22)/33. Let h = w + -448. Is h at least -1?
True
Let o = 115 - 114.8. Is o at least -0.013?
True
Let g(h) = 3*h + 1. Let l be g(1). Let v = 63 - 60. Suppose 0 = 4*c - r + 4, -v*c = -0*r - l*r + 16. Which is smaller: c or -1?
-1
Suppose 0 = -3*c + 6, -4*i - 3*c = -21 + 7. Let f(m) = m**3 + 4*m**2 - 7*m - 5. Let j be f(-5). Let t = i - j. Is t greater than -4?
True
Let r = 27 - 56. Let n = 14 + r. Let z = 17 + n. Which is bigger: z or -2/13?
z
Suppose -5*l = -7*l - 10. Let z = -20/3 - l. Is -3 at most as big as z?
True
Let s be (6/(-4))/(1/(40/15)). Let z be (-26)/6 + 2/6. Let c = s + z. Is c at least -6?
False
Let h(q) = -17*q**3 + 3*q**2 - 15*q + 3. Let p be h(2). Is p at most as big as -150?
True
Let v(z) = -1 + 7*z - 2 + 1. Let g be v(-9). Let d be -1*2 - 145/g. Which is greater: d or 0?
d
Suppose 5*f + 16 = 3*p, 4*f = -9 + 1. Which is smaller: -8 or p?
-8
Suppose -x + 4 = 2*r, x - 3*r = -25 + 9. Is 75 >= x?
True
Let i(c) = c + 1. Let m be i(-1). Suppose -3*b + 4 + 8 = m. Suppose b*n + 19 = 35. Which is smaller: n or 1?
1
Let a be (-12)/(-42) - (-37)/(-7). Let c be a/(15/18) - 4. Suppose -4*t - 26 - 18 = 0. Which is smaller: t or c?
t
Suppose 3*l = -2 + 11. Suppose 0 = -a + l - 5. Are -2 and a unequal?
False
Let r be (-6)/15 + (-28)/(-70). Suppose r = 3*f - 3*p + 6, -5*f - 10*p + 6*p - 37 = 0. Do f and -9/2 have different values?
True
Suppose 0 = 163*i - 153*i. Let t = 692 + -12451/18. Is t greater than i?
True
Let l be 2 + 8*2/4. Suppose 0 = q - 3*c - 19, -l*q + 5*q - 3*c + 19 = 0. Is q <= 19?
True
Suppose -36186 = 5*h - 2*f - 176874, 0 = h - 3*f - 28135. Let z = -141247/5 + h. Let a = 111 + z. Which is smaller: 2/7 or a?
a
Let h(t) = t - 3. Let o be h(4). Is o > 2/157?
True
Let r = -70 + 131. Are r and 61 non-equal?
False
Suppose 27 = 4*d - 8*d - 3*p, -9*d - 4*p - 47 = 0. Let y be (-2)/(-5) - 122/30. Is y bigger than d?
False
Let r(k) = k**3 - k**2 + 1. Let f be r(0). Let b = 2377 + -35653/15. Does f = b?
False
Let j(k) = -k**3 - 9*k**2 - 23*k - 94. Let n be j(-7). Is n less than or equal to -28?
True
Suppose 5*p = -7 + 22. Suppose 3 = -p*o + 9. Let q be (o/(-138))/((-15)/90). Which is smaller: q or 1?
q
Suppose -2*v + t - 16 + 0 = 0, 5*v - 2*t + 40 = 0. Let h be 6/(-4)*64/(-12). Suppose 0*o - 4*o + 35 = -3*w, 4*o - h = 0. Which is greater: w or v?
v
Let m = 28 + -97. Which is greater: m or -71?
m
Let q(t) = -t**2 - 5*t + 10. Let h(w) = -w**2 - 4*w + 3. Let m be h(-6). Let r be q(m). Let l = -23 - r. Is l at most 6?
True
Let w be (-2 - (0 + 1)) + 1. Let x be w + 1*(2 + -2). Is -3 at most as big as x?
True
Let s = 139371/7 + -14491329/728. Let v = 3479 - 27795/8. Let g = s - v. Are g and 0 unequal?
True
Let y = 37.6 + 4.4. Let k = 42 - y. Which is greater: -7/5 or k?
k
Suppose 0 = -7*p + 2*p - 15. Suppose -3*q - s - 17 = 4*s, 4*q + s = 0. Let d = q + p. Is d greater than -9/5?
False
Let h = -39 + 45. Which is bigger: 23 or h?
23
Let j = -18/5 - -4. Suppose 193 = -15*p - 317. Which is smaller: p or j?
p
Suppose -1254 + 1146 = 2*i. Which is greater: -55 or i?
i
Let x(o) = o**3 + 6*o**2 + 4*o - 7. Let d be x(-5). Let f = d + 23. Does f = 20?
False
Let n = 8 + -3. Let w = -25 + 25. Suppose -z + 4 = -w. Does n = z?
False
Let f(j) = -j + 2. Let t be f(-3). Suppose -t = -2*o + 11. Which is smaller: 2 or o?
2
Let v = 179 - 188. Does v = -1?
False
Let t = -2 + 8. Suppose -p - t = -0. Let r be p/(-16)*120/(-54). Which is smaller: r or -1?
-1
Let z(p) = -3*p - 1. Let i be z(-1). Let k be (1/i)/(6/3). Which is bigger: -0.2 or k?
k
Let d be 26/8 - (-2)/(-8) - 172. Do d and -170 have the same value?
False
Let z(d) be the first derivative of d**4/4 + 3*d**3 - d**2/2 - 2*d - 5. Let c be z(-9). Suppose o + c = -1. Is -8 smaller than o?
False
Let a(q) be the second derivative of -q**4/12 + 7*q**3/6 + q**2 - 6*q. Let n be a(9). Let b be -1 + 7/(28/n). Are b and -2/11 equal?
False
Suppose -z - 12 = 14. Suppose -186 = 44*x + 1002. Is z greater than x?
True
Let p be ((-2 - -3)*(-25 - 0))/(-1). Let d = -13 - 12. Let v = 50 + d. Is v at least p?
True
Let b = 56 + -75. Let j = -21 - b. Are -5 and j unequal?
True
Suppose -1 = -4*s - 9, -5*c - 4*s = 33. Let t be (c/(-2))/(2/4). Suppose 0*n + d = -3*n + 7, | {
"pile_set_name": "DM Mathematics"
} |
*b + j, b + j = -j + p. What is the greatest common factor of 36 and b?
12
Let b be (150/18 - 11)*(-78)/4. Calculate the highest common divisor of 4 and b.
4
Let z be (1 - (481 + -5)/(-4)) + 1. What is the greatest common factor of z and 44?
11
Suppose 2*w + 1 - 7 = 0, -5*o + 126 = 2*w. Let b = o - 7. What is the greatest common factor of b and 85?
17
Suppose -21*p + 22 = -16*p + 2*m, 5*p - 5*m = 15. What is the greatest common divisor of p and 12?
4
Let k = -264 + 308. Calculate the highest common factor of k and 11.
11
Suppose 2*d + 4*q + 318 = 5*d, 0 = 4*q - 12. Calculate the highest common divisor of 20 and d.
10
Suppose -2*v = -4*v + 3*z + 597, 0 = -5*z + 5. Suppose -5*k + 125 + v = 0. Let p be 32 + 3 + (-3)/3. What is the greatest common factor of p and k?
17
Suppose -4*w - 3*j = -53, -3 - 8 = -w - 3*j. Let y(l) = -2*l**3 - 8*l**2 - 4*l. Let q be y(-5). What is the greatest common factor of w and q?
14
Suppose 5*m = 6 + 34. Let p = m + -6. Suppose -l = -1 - p. What is the highest common divisor of 27 and l?
3
Let c = 11 - 8. Suppose 4*p = 2*q - 24, 2*q = -c*q - 5*p + 45. What is the highest common factor of q and 30?
10
Let v be (-22 - -37) + 4/2. What is the highest common factor of 4 and v?
1
Let z(y) = -6*y + 11. Let s be z(-7). What is the greatest common factor of s and 53?
53
Let s = -681 - -1106. What is the highest common divisor of s and 75?
25
Let u(m) = 60*m + 240. Let n be u(-1). Let r = 4 + -3. Let p(g) = 20*g**2. Let o be p(r). What is the greatest common factor of n and o?
20
Let j(t) = 11*t**2 - 6*t - 1. Let y be j(3). Let n = -4 - -6. Suppose -n*w + 0*w = -y. What is the highest common divisor of 5 and w?
5
Suppose 4*d + 26 = -3*y, -4*y + 3*d + 3 + 4 = 0. Let n(h) = 7*h + 3. Let g be n(y). Let i = -5 - g. What is the highest common divisor of i and 4?
2
Suppose 5*k - 2*z - 67 = 0, 3*z + 45 = 5*k - 23. What is the greatest common factor of k and 611?
13
Let s = -112 - -192. What is the highest common divisor of 200 and s?
40
Let g be (-8)/(-28) - 78/(-21). Suppose -4*i = g*x - 936, 0 = x - i - 0*i - 228. Calculate the greatest common factor of x and 21.
21
Suppose b - 4 = -3*t + 18, -3*b - t = -26. Suppose 142*s - 137*s - 5 = 0. Calculate the highest common factor of s and b.
1
Let p(w) = -w**3 - 43*w**2 - 89*w + 33. Let j be p(-41). What is the highest common divisor of 60 and j?
20
Suppose 4*m = -16, 3*m = -2*d - 0*m - 12. Suppose s + s = d. Suppose -2*g + s*g = -18. Calculate the greatest common divisor of g and 99.
9
Let d = 200 - 8. What is the highest common factor of 24 and d?
24
Suppose 1134 = 93*w - 84*w. What is the highest common divisor of 42 and w?
42
Suppose -2*t - 63 = -107. Calculate the highest common factor of 154 and t.
22
Suppose 242 = 2*y + 70. What is the highest common factor of 774 and y?
86
Let k(y) = -y**2 + 24*y + 11. Suppose -2*b + 2*j + 50 = 0, -3*b + 71 = 3*j - 2*j. Let c be k(b). Calculate the greatest common divisor of 55 and c.
11
Let n = -14 + 16. Let p(d) = 0*d + 7*d**n + d**3 - 3*d - d - 5. Let o be p(-7). What is the highest common factor of 138 and o?
23
Suppose -6 + 2 = -2*m. Let t(c) = 7*c - 5*c**m - 3*c**3 + 4 + 15*c**2 + 4*c**3. Let j be t(-9). What is the highest common divisor of j and 242?
22
Let j(r) = r**2 + r**2 + 5 + 47*r**3 - 6. Let h be j(1). Suppose -1423 + 706 = -16*a + 1203. What is the highest common factor of h and a?
24
Let p(y) = -y - 8. Let k be -9 - (-1*3)/(-3). Let x be p(k). Suppose 3*a - 52 = 14. What is the greatest common factor of a and x?
2
Suppose -1059 = -g - 1041. Calculate the greatest common divisor of 366 and g.
6
Suppose 2*k - 3*k + 20 = 5*j, -j = 3*k - 18. Suppose 3*a - 4*a = -j. Let l = 23 - 2. What is the highest common divisor of a and l?
3
Let f = 11 + 37. Suppose -2*p + 1 = -3. Suppose p*v - f = -b + 3*v, 0 = -3*b - 5*v + 176. Calculate the highest common divisor of b and 78.
26
Suppose -23*i = -20*i - 81. Let p = -16 + i. What is the greatest common factor of p and 1?
1
Suppose -5*y = -3*y - 88. Suppose -4*p - 3*x = -0*p - y, -5*p + 78 = -2*x. Let r be (44/5)/(4/70). What is the highest common divisor of p and r?
14
Let h(m) = 8*m**2 + 5*m - 1. Let x be h(4). Suppose 546 = 12*f + 14*f. What is the highest common divisor of f and x?
21
Let y be ((-2)/(-5) + (-12)/(-20))*-18. Let p be (-28)/6*9*y/21. What is the highest common factor of p and 54?
18
Let x = 84 - 18. Let l(p) = -4*p - 6. Let j be l(-6). Suppose -11*n + 14*n - j = 0. What is the highest common factor of x and n?
6
Suppose -2*q = 5*n - 1 - 10, 5*n - 2 = q. Suppose 2*v = -2*v - 8. Let l = 4 - v. Calculate the highest common factor of l and q.
3
Suppose -z - 18 = -23. Suppose z*x - 8*x = 21. Let i(d) = -d**3 - 6*d**2 + 6*d - 2. Let r be i(x). Calculate the greatest common factor of r and 15.
5
Suppose -24*d + 9*d + 1500 = 0. Calculate the highest common divisor of d and 12.
4
Suppose 3*r - 566 = -4*z + 8*r, 3*z - 4*r - 424 = 0. What is the greatest common divisor of 117 and z?
9
Let z(y) = -y**2 - 3*y + 10. Suppose 6*r - 3*r + 9 = 4*a, -9 = 4*a + 3*r. Let b be z(a). What is the highest common factor of b and 15?
5
Suppose 6*x = 10 + 14. Suppose x*j = -5*t + 475, 5*j = -3*t - 0*j + 298. Calculate the highest common factor of t and 7.
7
Let y = 44 - 34. Suppose 108 = -6*r + y*r. Calculate the greatest common divisor of 108 and r.
27
Let y = 75 - 32. Let h = y - 22. What is the greatest common divisor of 14 and h?
7
Let m be (-434)/(-12) - 1*5/30. Calculate the greatest common factor of 90 and m.
18
Suppose -42*k + 2900 = -13*k. Let g be (-201)/(-5) - 5/25. Calculate the greatest common divisor of g and k.
20
Let f be (3 + -4)/((-1)/2). Suppose f*g + g = 15. Let z = 31 - 26. What is the greatest common factor of z and g?
5
Let v be 1/5 - 10/50. Let d be v/(4/(-4)) - -4. Calculate the highest common factor of d and 28.
4
Let b(n) = -n**2 + 32*n - 156. Let h be b(23). Calculate the greatest common factor of h and 18.
3
Suppose -5*x = 5*q - 55, -2*x - 5*q - 37 = -47. Let i = -251 + 386. What is the greatest common divisor of i and x?
15
Suppose 0 = -6*o + 1402 - 1108. What is the greatest common factor of 91 and o?
7
Let g(b) = -b**2 - 18*b - 67. Let j be g(-11). What is the highest common divisor of j and 130?
10
Let s be -9 + 948/108 + 544/18. Let h = 9 - -6. What is the highest common divisor of h and s?
15
Suppose 5*m = 275 + 400. Suppose 5*f - 150 = -5*o, 2*f + 199 - 232 = -o. What is the highest common divisor of o and m?
27
Let z be (34/(-4))/((-117)/18 + 6). Let g be (136/6)/((-4)/(-6)). Calculate the greatest common factor of z and g.
17
Suppose -3*b - 31 = -55. Suppose -b*w + 12*w = 36. What is the greatest common factor of 45 and w?
9
Let u(d) = 4*d**2 + 2. Let b be u(1). Suppose 0 = -0*q + b*q - 1188. Calculate the highest common divisor of q and 18.
18
Suppose 14*k - 398 = -286. Let x be ((-168)/30)/(1/(-10)). What is the highest common factor of k and x?
8
Let j be -2 - (-3)/(-1 - -4). Let o be j/(2/(-4)) - -440. Suppose 4*a = -a - 2*h + o, 0 = 2*h - 2. What is the highest common divisor of a and 22?
22
Let k = -28 - -29. Suppose 3*p + 2 + 4 = 0. Let y be (k/p)/(2/(-24)). What is the highest common factor of y and 42?
6
Let j = 2034 - 3019. Let o = -607 - j. Calculate the greatest common divisor of o and 42.
42
Let u = 38 - 36. Let c be (-8)/4 + (19 - 1). What is the greatest common divisor of c and u?
2
Let z = -347 + 437. Calculate the highest common factor of z and 585.
45
Let x = 627 - 595. Calculate the highest common factor of x and 72.
8
Suppose t + 58 = -70. Let l be t/(-12) + (-4)/6. What is the highest common factor of 20 and l?
10
Let j be ((-4)/(-7))/(10/35). Let b = j + 1. Calculate the greatest common divisor of 33 and b.
3
Let w be 364/2 + -1 + 0. Suppose -2*a + 5*j - w = -4*a, -4*j = 5*a - 461. What is the highest common divisor of a and 31?
31
Suppose 11*b = -2*u + 6*b + 1927, 3*u = -5*b + 2893. What is the highest common factor of u and 42?
42
Suppose -3*b + 6 = -36. Let z be ((-864)/(-720))/(4/70). Calculate the greatest common divisor of b and z.
7
Suppose d + 2*r = 5, -4*d - 3*r = r - 40. Suppose 27 = 4*p + 3*c, 5*p - 2*c - 2 = p. What is the greatest common factor of d and p?
3
Suppose 0 = -4*z - 242 + 754. Let u be 4/8*6 - (0 + -2). Suppose -u*f = | {
"pile_set_name": "DM Mathematics"
} |
2*y + 2
Let n be (-6)/21 + (-24)/14. Let y(f) = -2*f + 0 - 5 + 1 - 1. Let w(v) be the second derivative of -v**3/6 - 2*v**2 - 7*v. Determine n*y(h) + 3*w(h).
h - 2
Let s(w) = 4*w**3 - 9*w**2 - 12*w. Let q be (-13)/(-2) - (-50)/20. Let v(m) = -m**3 + 2*m**2 + 3*m. Give q*v(f) + 2*s(f).
-f**3 + 3*f
Let r(l) = -380*l**3 - 3*l**2 - 3*l + 3. Let v(j) = 761*j**3 + 7*j**2 + 7*j - 7. Calculate -7*r(c) - 3*v(c).
377*c**3
Let q(f) be the third derivative of -f**7/5040 + f**5/5 - 4*f**2 + 7*f. Let z(j) be the third derivative of q(j). Let a(o) = 5*o. Give a(s) + 3*z(s).
2*s
Let q(c) = -c**3 + 2*c**2 - 2. Let h(p) = 5*p**3 - 11*p**2 + 9. Let d = 51 + -49. Calculate d*h(l) + 11*q(l).
-l**3 - 4
Let v(i) = -98*i**3 + 4*i. Let g(m) = -390*m**3 + 15*m. Calculate -4*g(f) + 15*v(f).
90*f**3
Let a(f) = -f**3 + 6*f**2 + 4*f - 6. Let p = 2 + -1. Suppose 7*m + 212 = 254. Let l(j) = -j**2 - j + 1. What is m*l(t) + p*a(t)?
-t**3 - 2*t
Let y(d) = 3*d**2 + 193*d - 125. Let w be y(-65). Let v(s) = -33*s**3 - 5*s**2 + 5*s + 5. Let n(m) = 182*m**3 + 28*m**2 - 28*m - 28. Calculate w*n(x) + 28*v(x).
-14*x**3
Let b(s) = -956*s**2 + 3*s + 6. Let c(u) = -25810*u**2 + 80*u + 160. Determine 80*b(z) - 3*c(z).
950*z**2
Let k(l) = -l. Let p = -1 - -2. Let w(o) = -2*o + 15. Let q(y) = p*w(y) - 6*k(y). Let i(m) = 2*m + 8. Let h be -1 + 188/(-36) + 8/36. Give h*q(c) + 11*i(c).
-2*c - 2
Let u(d) = -144*d**3. Let s(m) = -13*m**3. Let f = -334 - -278. Determine f*s(b) + 5*u(b).
8*b**3
Let c(l) = 32*l - 7. Let g(f) = 63*f - 15. What is 9*c(y) - 4*g(y)?
36*y - 3
Let g(m) = 7872*m**3 - 28*m**2 - 28. Let z(h) = -1431*h**3 + 5*h**2 + 5. Give -5*g(w) - 28*z(w).
708*w**3
Let l(u) = 12*u**2. Let z(x) = -6*x**2. Suppose -3*r = -3*k - 15, -5*k - 25 = -0*k - 2*r. Calculate k*z(o) - 2*l(o).
6*o**2
Let l(d) = 8*d**2 - 5*d - 5. Let j be 6/1*(-1)/(-3). Let m(z) = -5*z**j + 0*z**2 - 7*z**2 + 4 + 8*z + 4. What is -8*l(h) - 5*m(h)?
-4*h**2
Let f(d) = 3*d**2 + 6*d + 2. Let p = -15 - -11. Let m(b) be the second derivative of -b**4/4 - 7*b**3/6 - 3*b**2/2 + 2*b - 1. Determine p*m(t) - 5*f(t).
-3*t**2 - 2*t + 2
Let l(m) = -4*m**2 + 9*m**2 + 2 + m**2 - 3*m**2 + 0. Let q(w) = -4*w**2 + w - 2. Give 3*l(u) + 2*q(u).
u**2 + 2*u + 2
Suppose 8*s = 11*s + 24. Let a(x) = x**3 + 8*x**2 + 3*x. Let c(q) = -20*q**2 - 3*q + 14*q**2 + 2*q + 3*q**2 + 0*q. Determine s*c(y) - 3*a(y).
-3*y**3 - y
Let i(m) = -2*m**2 + 2*m + 11. Let g(y) = -5*y**2 + 5*y + 26. Let p(r) = -3*g(r) + 7*i(r). Let h(v) = -6*v**2 - 3*v - 3. What is -h(k) + 3*p(k)?
9*k**2
Let w(h) = 3*h**2 + 9*h + 9. Let s(g) = -g**2 - 27*g - 143. Let z be s(-19). Let v(u) = u**2 + 4*u + 4. What is z*v(f) - 4*w(f)?
-3*f**2
Let u(s) = 149*s - 9. Let b(y) = 73*y - 6. What is 5*b(a) - 3*u(a)?
-82*a - 3
Let k(q) = 68*q**3 - 17*q**2 - 17*q. Let a(n) = -23*n**3 + 6*n**2 + 6*n. Let f(i) = -i**3 + 30*i**2 + 101*i - 60. Let s be f(33). Determine s*k(d) + 17*a(d).
17*d**3
Let n(u) = u**2. Let x(h) = 8*h**2. Let z be (16 + -15)/((-2)/68). Let w = 28 + z. Determine w*n(q) + x(q).
2*q**2
Let b(m) = -2*m + 1. Suppose 2*p - 5 - 15 = 0. Let u be -1 - ((-20)/(-6))/(12/(-18)). Suppose -p = u*t - 22. Let c(x) = 3*x - 2. Determine t*c(r) + 5*b(r).
-r - 1
Let g(k) = 11*k**3 + 137*k**2 + 8*k - 8. Let h(f) = -4*f**3 - 46*f**2 - 3*f + 3. Determine 3*g(a) + 8*h(a).
a**3 + 43*a**2
Let n(u) = -u - 1. Let a(o) = 3*o**2 + 2*o + 2. Let z = -42 + 23. Let j(y) = y**2 + 21*y + 37. Let c be j(z). Determine c*a(x) - 2*n(x).
-3*x**2
Let u(i) = -2*i**2 + 2*i. Let v be -3 + 4 + 1 + -1. Let d(n) = n**2 - n + 1. Let z(y) = v*d(y) + u(y). Let q(h) = 4*h**2 - h - 1. Determine q(m) + 2*z(m).
2*m**2 + m + 1
Let u(v) = -v**3 + 248*v**2 - 5. Let y(r) = -1. What is -u(f) + 5*y(f)?
f**3 - 248*f**2
Let b(p) = 11*p + 11. Let f(i) = -i. What is b(h) + 6*f(h)?
5*h + 11
Let b(o) = 1. Let d(k) = 2*k + 611. Calculate 2*b(p) - d(p).
-2*p - 609
Let j(l) be the first derivative of l**2 - l - 489. Let m(a) = a. What is j(f) - m(f)?
f - 1
Suppose 24 = 5*b + 9. Let k(x) = -7*x**2 + 3*x - 3. Let r(t) = -4*t**2 + 2*t - 2. Let d = -16 + 11. Give b*k(j) + d*r(j).
-j**2 - j + 1
Suppose 3*v + 14*s = 9*s - 24, 2*v = s - 3. Let n(o) = -12*o**3 - 7*o**2 - 8. Let k(t) = -4*t**3 - 2*t**2 - 3. Calculate v*n(l) + 8*k(l).
4*l**3 + 5*l**2
Let c(o) = -7*o**2 - 6*o + 6. Let b(p) = -10*p - 306. Let j be b(-30). Let q(h) = -15*h**2 - 13*h + 13. Give j*q(x) + 13*c(x).
-x**2
Let k(o) = -252*o**3 - 16*o**2 - 21*o + 3. Let f(p) = -168*p**3 - 11*p**2 - 15*p + 2. What is 7*f(x) - 5*k(x)?
84*x**3 + 3*x**2 - 1
Let g(b) = 10*b**3 - 11*b**2 + 27*b - 22. Let w(x) = -x**3 + x**2 - x + 2. What is 2*g(u) + 22*w(u)?
-2*u**3 + 32*u
Let n(b) = -31*b**2 + 6*b - 49. Let u(z) = 11*z**2 - 2*z + 17. Give 6*n(x) + 17*u(x).
x**2 + 2*x - 5
Let h(y) = -2*y - 39. Let l(a) = -2*a - 38. Give 3*h(g) - 4*l(g).
2*g + 35
Let y = 202 - 207. Let u(m) = -m**3 + m**2 + m + 1. Let h(s) = 9*s**3 - 6*s**2 - 6*s - 6. Calculate y*h(q) - 30*u(q).
-15*q**3
Let m(l) = -18*l**3 + 9*l**2 + 9*l - 9. Let f = -451 + 442. Let b(h) = 9*h**3 - 5*h**2 - 5*h + 5. Give f*b(p) - 5*m(p).
9*p**3
Let k(g) = -9*g**2 + 3*g - 4. Let m(h) = 8*h**2 - 2*h + 3. Suppose 2*w + 21 = -5*w. Determine w*m(v) - 2*k(v).
-6*v**2 - 1
Let u(g) be the second derivative of g**5/20 + g**4/6 + g**2 + 88*g. Let v(d) = -2*d**3 - 6 - 1 - 5*d**2 + 2. Determine -5*u(z) - 2*v(z).
-z**3
Let m(s) = -s + 2. Let x(n) = -8*n + 17. Calculate 18*m(r) - 2*x(r).
-2*r + 2
Let p = 4 + -9. Let g(k) = -2*k - 1. Let s be (10/(-8) - 425/(-100)) + -1. Let c(y) = -2 - 4*y - 3*y + 3*y. What is p*g(r) + s*c(r)?
2*r + 1
Suppose 53*z + 15 = 58*z. Let o(h) = -6*h - 5*h + 6 + 5*h**z + 4 - 3. Let k = -16 + 22. Let w(p) = -3*p**3 + 6*p - 4. Calculate k*o(f) + 11*w(f).
-3*f**3 - 2
Let l(w) = -3*w + 14. Let t(d) be the first derivative of -1/2*d**2 - 30 + 5*d. Let r be (-3)/(-6)*-2*11. Give r*t(n) + 4*l(n).
-n + 1
Let g(k) be the third derivative of -k**6/24 + k**5/10 - k**4/3 + k**3/2 + 3*k**2 - 51*k. Let i(h) = -4*h**3 + 5*h**2 - 7*h + 2. What is -5*g(q) + 6*i(q)?
q**3 - 2*q - 3
Let q = -248 - -251. Let p(s) = -4*s**2 + s - 3. Let o(k) = 5*k**2 - 2*k + 4. What is q*p(w) + 2*o(w)?
-2*w**2 - w - 1
Let s(i) = 16*i**3. Let m(r) = -943 + 2*r**3 + 1886 - 943. What is 18*m(k) - 2*s(k)?
4*k**3
Let q(k) = 3*k - 4. Let a = -42 + 48. Suppose 5*n - a*n = -4. Let f(l) = 1. Calculate n*f(c) + q(c).
3*c
Let h(r) = r - 16. Let k(t) = 2*t - 16. Calculate -4*h(l) + 5*k(l).
6*l - 16
Let o(m) = 4*m + 4. Let p(r) = 3*r + 3. Let c = 305 - 299. Suppose -5 = -5*z + 5*x - 0*x, 3*x + 35 = -5*z. Give c*p(k) + z*o(k).
2*k + 2
Let s(o) be the first derivative of 6*o**2 - 439. Let r(p) = 13*p. Give 7*r(g) - 6*s(g).
19*g
Let g(q) = 3*q**3 + q**2 - 2*q - 2. Let k(m) = -m**3 - m**2 + m + 1. Let r = 11 - 8. Let x be 8/(-6)*(r - 0). Let w = -5 - x. What is w*g(f) - 2*k(f)?
-f**3 + f**2
Let p(u) be the first derivative of 5*u**3/3 + u - 16. Let d(j) = 4*j**2 + 1. What is 7*d(m) - 6*p(m)?
-2*m**2 + 1
Let f(v) = 75*v - 44*v - 27*v. Let b(g) = -9*g. Determine 4*b(c) + 7*f(c).
-8*c
Let o(t) = -56*t + 21. Let r(y) = -49*y + 1. Let n(q) = -16*q + 1. Let l(f) = 7*n(f) - 2*r(f). Give -21*l(i) + 5*o(i).
14*i
Let j(o) = 328*o - 1107. Let h(m) = -m + 3. Give -1476*h(x) - 4*j(x).
164*x
Suppose 4*a - 9 = -41. Let v(b) = -11*b**2 - 3*b - 8. Let o(l) = l**2 + 20*l - 120. Let k be o(-25). Let r(m) = -7*m**2 - 2*m - 5. Give a*r(y) + k*v(y).
y**2 + y
Let y(m) = -78*m + 38. Let c(s) = 26*s - 11. Give 7*c(u) + 2*y(u).
26*u - 1
Let s(o) = 3*o - 5. Suppose 79 = 14*j + 93. Let u(x) = 1 - 2 + 0. Give j*s(t) + 3*u(t).
-3*t + 2
Let q(m) = -4. Let f(i) = 10*i - 23. Calculate f(t) + 4*q(t).
10*t - 39
Suppose -3*y + 3*a + 40 = 4*a, -2*y - 3*a = -22. Suppose 3*x = 4 + y. Let s(n) = 2*n - 2 + 2. Let d(z) = z. Give x*s(u) - 11*d(u).
u
Let z(k) = -59*k - 11. Let b(j) = 2*j + 3. Calculate 4*b(t) + z(t).
-51*t + 1
Let m(h) = -20. Let j(q) = -q - 14. What is -6*j(o) + 5*m(o)?
6*o - 16
Let b(z) = 3*z**2 - 6*z + 6. Let k(h) = -h**2 - h - 1. Determine -b(c) - 5*k(c).
2*c**2 + 11*c - 1
Let s(o) = o**3 - 9*o**2 + 13*o + 6. Let h be s(7). Let g = -9 + 15. Let p(j) = j**2 + j - 1. Let d(t) = 8*t**2 + 6*t - 4. What is g*p(k) + h*d(k)?
-2*k**2 - 2
Suppose -11*k - 6 = -14*k. Let l(g) = 13 + g**k - 2*g - 11 - 1. Let q(o) = -4 + 1 - o**2 | {
"pile_set_name": "DM Mathematics"
} |
x**2. Let d(h) be the third derivative of -h**5/60 + 2*h**2. What is w(d(f))?
6*f**4
Let y(f) be the first derivative of f**3/3 + 2. Let s(g) = -23*g**2 + 21*g**2 - 2 + 2. Give s(y(q)).
-2*q**4
Let p(z) be the first derivative of 0*z**2 + 1/3*z**3 - 3 + 0*z. Let f(a) = -2*a + 13*a + a. Calculate f(p(g)).
12*g**2
Let q(f) = 3*f**2 + 5*f. Let c(g) = g**2 + 2*g. Suppose -7*o + 2*o - 5 = 3*v, 4*v - o = -22. Let y(b) = v*c(b) + 2*q(b). Let z(p) = -10*p**2. Calculate z(y(w)).
-10*w**4
Let l(i) be the third derivative of -4*i**4/3 - i**2. Let c(a) = -2*a**2 + 6*a - 12. Let m(o) = o**2 - 2*o + 4. Let z(r) = c(r) + 3*m(r). What is l(z(j))?
-32*j**2
Let u(m) = 221*m - 62. Let t(l) = 10*l**2. What is u(t(d))?
2210*d**2 - 62
Let c(h) = -h - 10. Let r(o) = -11*o - 30. Let d(m) = -3*c(m) + r(m). Let b(q) = -11*q - 2. What is d(b(t))?
88*t + 16
Let w(t) be the second derivative of t**3/6 - 936*t. Let x(h) = 236*h**2. Calculate x(w(r)).
236*r**2
Let t(z) = -3*z + 35 + 36 + 9. Let w(k) = -2*k. Determine w(t(y)).
6*y - 160
Let j(a) = 3*a. Let w(g) = -364458*g**2. Determine j(w(x)).
-1093374*x**2
Suppose 0*z - 55 = -5*z. Let g = -9 + z. Let y(u) = 0*u**2 + u**2 + g*u**2. Let k(x) = x. Calculate k(y(q)).
3*q**2
Let b(f) = f - 2. Let z be b(4). Let k(l) be the third derivative of 0*l**3 + 0*l**4 + 0*l - 1/30*l**5 + 0 + 2*l**z. Let p(i) = 5*i. Determine p(k(c)).
-10*c**2
Let a(t) = -1103*t. Let b(k) be the second derivative of k**4/12 + 327*k. What is b(a(i))?
1216609*i**2
Let v(w) = 11*w - 4. Let x(o) be the second derivative of o**3/2 - 45*o + 1. Determine x(v(q)).
33*q - 12
Suppose -5*a = -4 - 6. Let z(c) = 5*c**2 + 3*c**a + 7*c**2 - 17*c**2. Let p(b) = b**2. Determine z(p(q)).
-2*q**4
Let c(z) = 4*z. Let q(x) = x**3 - 10*x**2 + 9*x + 6. Let l be q(9). Let g(k) = l*k - k - 5*k + 2*k. Give c(g(u)).
8*u
Let p(v) be the first derivative of -2*v**2 - 4*v + 27. Let u(y) = 1. Let f(w) = p(w) + 4*u(w). Let q(c) = -8*c**2. Determine q(f(n)).
-128*n**2
Let x(k) = -6*k - 5. Let p(y) = 4 - 3*y + 0*y + 11*y - 3*y. Let u(q) = -5*p(q) - 4*x(q). Let g(r) = -11*r**2. Give g(u(l)).
-11*l**2
Let f(p) = 2639*p. Let v(s) = -s + 31. Determine f(v(g)).
-2639*g + 81809
Let t(u) = 21*u. Let r(j) = -3*j**2 + 2*j + 2. Let o(f) = -80*f**2 + 55*f + 55. Let l(q) = -2*o(q) + 55*r(q). Give l(t(a)).
-2205*a**2
Let l(a) = -32583*a**2. Let o(b) = -5*b. Give l(o(k)).
-814575*k**2
Let r(a) = 522*a. Let n(k) = -9*k**2. Give n(r(z)).
-2452356*z**2
Let d(t) be the first derivative of t**6/360 - 4*t**3 + 22. Let x(w) be the third derivative of d(w). Let k(p) = 53*p**2. Give k(x(z)).
53*z**4
Let c(v) = 2*v. Let s(g) = -1. Let n(w) = 2*w + 8. Let i(y) = -3*n(y) - 24*s(y). Let m(q) = 8*c(q) + 3*i(q). Let b(j) = -18*j**2. What is b(m(k))?
-72*k**2
Let l(n) = 3*n**2 - 27*n. Let s(h) = -122*h. Determine l(s(r)).
44652*r**2 + 3294*r
Let f(j) = 5*j**2 - 28*j**2 - 53*j**2. Let t(k) = k. Calculate t(f(v)).
-76*v**2
Let y(f) = 3*f. Let j(n) = 4*n - 2*n - 6*n + 0*n + 0*n. What is y(j(i))?
-12*i
Let j(r) = -897 + 2*r + 897. Let q(d) be the third derivative of -d**5/60 - d**3/3 + 2*d**2. Let f(v) be the first derivative of q(v). Calculate f(j(p)).
-4*p
Let q(z) = z. Suppose 5*u - 19 = -3*l, -3*u = -l - 6 + 3. Let p(f) = 3*f - l + 2 + 1. Give p(q(w)).
3*w
Let r(j) = -4*j**2. Let b(s) = -2*s**2 - 44302*s. Determine b(r(o)).
-32*o**4 + 177208*o**2
Let r(x) = 37*x**2. Let h(u) = u**3 - 2*u**2 + 8*u + 1. Let g be h(4). Let q(p) = -p**2 - g + 65. Calculate q(r(z)).
-1369*z**4
Let t(h) = h**2. Let r(a) = 2*a**2 + 2069531. Determine r(t(p)).
2*p**4 + 2069531
Let p(b) = 315*b - 150*b - 148*b. Let v(l) = -3*l**2 + 2*l**2 + l + l. Let x(u) = -3*u**2 + 5*u. Let d(n) = -5*v(n) + 2*x(n). Determine d(p(o)).
-289*o**2
Let r(b) = -2*b**2 - 2768. Let h(y) = 10*y. Determine r(h(p)).
-200*p**2 - 2768
Let u(q) be the second derivative of q**4/12 - 3*q. Let n(v) be the third derivative of v**4/8 + 2*v**2 - 15. What is u(n(f))?
9*f**2
Let r be 177/(-18) - (-3 - 7). Let h(d) be the second derivative of -r*d**3 + 0 + d + 0*d**2. Let f(t) = t**2. What is f(h(a))?
a**2
Let j(r) be the third derivative of 0*r - 1/12*r**4 + 0 + 8*r**2 + 0*r**3. Let n(u) = -u. Give j(n(o)).
2*o
Let m(s) be the first derivative of -s**2 + 2. Let n(u) = 20*u**2 - 5*u - 5. Let t(x) = 20*x**2 - 6*x - 6. Let j(i) = -6*n(i) + 5*t(i). Give j(m(h)).
-80*h**2
Let s(i) = -27*i**2 + 15*i. Let b(y) = 7*y**2 - 4*y. Let c(l) = 15*b(l) + 4*s(l). Let m be (-3 + 3)/4 + 2. Let h(n) = 4*n - 2*n + 4*n - m*n. Calculate c(h(x)).
-48*x**2
Let y(w) = -66*w. Let o(x) = -70*x. What is o(y(t))?
4620*t
Let w(v) be the second derivative of -103*v**4/12 - 7*v. Let b(a) = 3*a. Calculate b(w(m)).
-309*m**2
Let c(h) = 7*h**2 + 4*h**2 + 9*h**2 - 23*h**2. Let t(k) be the first derivative of k**2 - 3. What is t(c(l))?
-6*l**2
Let a(p) = 8*p - 9. Let q(w) = -w + 1. Let n(j) = -2*a(j) - 18*q(j). Let o(b) = 19*b + 2. Let x(f) = -39*f - 5. Let k(l) = 10*o(l) + 4*x(l). Give n(k(m)).
68*m
Let q(t) = -4*t. Suppose 4*z - 3*z = 3. Suppose -5*g = -z*d - 13, 3*d + 3 = -g - 2*d. Let l(j) = 9*j**2 - 3*j**g + 0*j**2. Give l(q(b)).
96*b**2
Let q(d) = -18*d**2. Let w(h) = -2*h**2 + 5*h. Let y(a) = -2*a - 18 + 18 + a. Let j(o) = w(o) + 5*y(o). Give j(q(c)).
-648*c**4
Let o(m) be the second derivative of -m**4/4 - 2*m - 162. Let i(q) be the third derivative of 0*q + q**2 + 0*q**4 + 0*q**3 + 0 + 1/60*q**5. Calculate o(i(v)).
-3*v**4
Let l(n) = -270176*n. Let u(m) = m. Determine l(u(d)).
-270176*d
Let v(o) = -12*o**2 + 17*o + 2. Let x(a) = 29*a. What is x(v(z))?
-348*z**2 + 493*z + 58
Let y(b) = -9*b**2. Let a(o) = -4565 + 4565 + o. Calculate y(a(f)).
-9*f**2
Let x(a) = 66*a**2. Let o(g) be the first derivative of -3*g**2/2 - 802. What is x(o(c))?
594*c**2
Let k(h) = -2*h**2. Let a(n) be the second derivative of -76*n**3/3 + 48*n. What is k(a(p))?
-46208*p**2
Let j(z) = -4*z + 0*z + 2*z + 0*z. Let f(v) = -176*v**2 - 16*v. Let r(w) = 35*w**2 + 3*w. Let s(l) = -3*f(l) - 16*r(l). Determine j(s(y)).
64*y**2
Let m(p) = -5*p**2 + 18*p + 28*p - 46*p. Let r(c) = 9*c. Calculate m(r(b)).
-405*b**2
Let g(p) = -p**2 - 49373. Let y(z) = 11*z**2. Determine g(y(m)).
-121*m**4 - 49373
Let j(k) be the first derivative of 0*k**3 - 1 + 11 + 0*k**3 + k**3. Let x(y) = 7*y. Give x(j(n)).
21*n**2
Let b(y) be the first derivative of y**2/2 - 11. Let n(h) = 0*h - 12*h - 16*h. Determine n(b(a)).
-28*a
Let f(u) = -2*u - 4. Let q(d) = d - 1. Let p(x) = -f(x) + 4*q(x). Let n(l) be the second derivative of -l**4/6 + 116*l. Determine n(p(j)).
-72*j**2
Let i(q) = -2*q. Let u(f) = 7*f**2 - 11*f**2 - 5*f**2 + 22*f**2 - 51*f**2. Determine u(i(g)).
-152*g**2
Let a(l) be the third derivative of 15*l**4/8 - l**3/6 - 12*l**2. Let v(h) = -1. Let m(u) = 2*u - 3. Let j(r) = -m(r) + 3*v(r). What is a(j(w))?
-90*w - 1
Let y(a) = 15*a. Let b(l) = l**2 + 2*l. Let h(o) = -6*o**2 - 11*o. Let f = -31 + 37. Let i(v) = f*h(v) + 33*b(v). Determine y(i(m)).
-45*m**2
Let a(f) = 2*f. Let h(r) = 4385739*r**2. Determine a(h(y)).
8771478*y**2
Let x(q) = -7*q. Let u(h) be the second derivative of h**5/60 - 21*h**2/2 - 10*h. Let r(p) be the first derivative of u(p). Calculate x(r(k)).
-7*k**2
Let c(o) = o. Let u(g) = 8 - 10 + 6 + 8 - 15*g + 2. Calculate c(u(k)).
-15*k + 14
Let x be (-2)/(-17) - (-3)/((-153)/312). Let t(v) = -680*v. Let q(i) = 34*i. Let f(s) = x*t(s) - 119*q(s). Let c(z) = 2*z**2. Give c(f(b)).
2312*b**2
Let h(c) = -4*c - 1. Let g(j) = -276*j - 1. What is g(h(l))?
1104*l + 275
Let z(x) = 4*x**2. Let d(g) be the second derivative of 19*g**4/24 + g**2/2 + 23*g. Let v(p) be the first derivative of d(p). What is v(z(q))?
76*q**2
Let t(r) = -3*r - 3*r**2 + 12 - 5 - 10 + 17*r**2. Let i(y) = -14*y**2 + 2*y + 2. Let z(n) = -3*i(n) - 2*t(n). Let s(k) = 3*k. Determine z(s(u)).
126*u**2
Let h(d) = -1 + d + 6*d - 8*d. Let v(s) = 2*s + 4. Let w(g) = -4*h(g) - v(g). Let j(z) = 4*z**2 + 0*z**2 + 0*z**2. What is w(j(c))?
8*c**2
Let d(r) = 2*r. Let w(u) = 70*u + 14. Let z(h) = 38*h + 7. Let j(i) = -6*w(i) + 11*z(i). Give j(d(l)).
-4*l - 7
Let y(c) = c - 3. Let o be y(3). Let t(z) = 2*z**2 + z - z + o*z. Let u(d) = -1. Let k(s) = 3*s**2 + 3. Let v(w) = -k(w) - 3*u(w). Determine t(v(a)).
18*a**4
Let h(r) = -1148*r. Let c(p) = 154*p + 4. Determine c(h(m)).
-176792*m + 4
Let | {
"pile_set_name": "DM Mathematics"
} |
-2*u + 2, 3*m - 5*u + 16 = 0 for m.
-2
Suppose -15 = 4*d - 287. Let y = 66 - d. Let p be y + -2 + 5 - -1. Solve -5*s - 8 = -r, 5*r - p*s - 19 = 2*s for r.
3
Let d(f) = -6*f - 10. Let o be d(-12). Let g = 170 - 111. Let i = o - g. Solve -4*q - 26 = -0*x - i*x, -3*x + q = -11 for x.
2
Let h = -1 - -22. Let m be (-3)/h - 29/(-7). Solve -2*a + 0*a = -s + 7, m*a + 17 = -s for a.
-4
Suppose 4*w - 5*g + 4 + 3 = 0, -3*w - 2*g = -12. Let d(n) = n**2 - 1178*n + 23161. Let a be d(20). Solve w*y - 3*m = -8, y + m = -2*y - a for y.
-1
Let i(t) = -68*t + 139. Let m be i(2). Solve -5*b - m*q - 19 = -b, 4*b = -4*q - 20 for b.
-4
Let z(j) = j**2 - 24*j - 986. Let f be z(46). Solve -3*h + 18 = -3*b, b + f*h - 23*h - 2 = 0 for b.
-4
Suppose -5*p + 4*n + 101 = 0, 5*n - 6 + 1 = 0. Let s be (0 + 10)*p/105. Solve -d + 3*l = s*l - 3, -3*d + 7 = -5*l for d.
4
Suppose -326*t - 51 = -343*t. Solve 0 = -2*j + j + 2*n - 4, -4 = 2*j - t*n for j.
4
Suppose -4*f - 13 = 5*g, -94*f = -92*f - 2*g - 16. Solve -2*a = -f*k + 4, 5*a - 32 = -4*k + k for k.
4
Suppose 0 = -3*w - w + 8. Let l be ((-24)/16 - -1)*0/w. Solve -2*d + 18 = -4*a, l = 2*a + 2*a - 3*d + 17 for a.
-5
Suppose -5*w = -5*p - 69 - 46, p - 97 = -4*w. Solve -f - 2*d = -5, w*f = 25*f + 3*d - 5 for f.
5
Let y = -26 + 113. Let n = -149 + y. Let t be (-4 - -1)*n/93. Solve -5*i = 5*c - 5, -t*c - 2*i - 2*i = 4 for c.
4
Let x be (0 - 56)/(-1 + 0). Suppose v = -3*v + x. Let u be ((-340)/102)/(-1*(6/(-9) + 1)). Solve 0 = -3*p + 4*a - v, -5*p + a - u = -p for p.
-2
Let a(b) = -b**2 + 14*b - 5. Let k be a(3). Suppose -26 = -3*h + k. Suppose -5*j + 2*c + 25 = 0, -j + 3*c + h = -0*c. Solve 2*q = j*d - 12, 5*q = 4*q for d.
4
Suppose 218*i - 7888 = -912. Solve -2*w + 13 = -x, 0 = 62*w - 66*w + 4*x + i for w.
5
Let s(c) = -19*c**2 - 73*c + 14. Let f be s(-4). Solve -4*m - a - 13 = 0, -3*m = -3*a - f*a - 19 for m.
-2
Suppose 0 = 5*u - 5*a - 25, -38*u + a + 9 = -35*u. Solve u*f + 1 = 3*p - 5, 5*f + 15 = 3*p for p.
0
Suppose 5 = -a - 4*k, -a + 0*k + k = -15. Suppose 115 = -2*q + 7*q. Suppose -5*c - q + 23 = 0. Solve -s = -3*t - a, c*s - t = -4*s for s.
-1
Suppose 3*y + t - 8 - 55 = 0, 10 = y + 4*t. Suppose -23*s + 40 = -y*s. Suppose -5*v = -3*r - s, -v + 0 = 4*r + 15. Solve 0 = -v*z + 5*b + 15, -5*b = -10 for z.
5
Suppose 0 = -3*r - 70 - 14. Let m be r/98 + 58/7. Solve f + 6 = -s, 0 = 4*f + m + 4 for s.
-3
Let c be (1 - -13)/(4*(-4)/(-24)). Suppose 18*j + c = 25*j. Solve 0*t = -j*t + 15, 4*m + t = -11 for m.
-4
Let y(b) = 3*b + 217. Let n be y(-53). Let d be 1 - (5/(-2))/(29/n). Solve -3*p + 6 = 2*c - 0*c, -3*p + c = -d for p.
2
Suppose 9*q = 18*q - 675. Let a = q + -71. Solve 0 = m - a, -3*t - m + 8 = t for t.
1
Let w = -213 - -224. Let s be (-25)/(-1) - 7 - (2 - -1). Solve 2*o = 3*g - 17, o + s = 5*g - w for g.
5
Let s(z) = -z**3 + z**2 + 2*z - 109. Let u be s(0). Let a = u + 112. Solve -f - 3*k - 16 = 0, a*f + 2*k + 20 = -0*f for f.
-4
Suppose -80*h = -588 + 268. Solve 5*j = h*l + 10 + 17, -l = -5*j + 18 for l.
-3
Let b be (1 + -1)/(69 - 70). Solve b = 4*n - 3*v - 16, 3*n = -7*v + 10*v + 12 for n.
4
Let j = -18 - -20. Suppose 0 = -45*m + 46*m - j. Solve -4*d = -2*w + 16, m*w = 5*d + 6*w - 6 for d.
-2
Let a = 9301 + -9298. Solve -4*w + a*q = -3*w + 15, 5*w + 3*q + 3 = 0 for w.
-3
Suppose -1347077*i = -1347057*i. Let g(d) = -d**3 + 2*d**2 + 2*d. Let z be g(2). Let y be 4 + 0/(2/1). Solve z*o - y*s + 20 = i, 5 - 1 = 2*o + 5*s for o.
-3
Let p = 92 - 87. Solve -3 = -3*j, 0 = c - j + p - 3 for c.
-1
Suppose -2*c - 31148 = -31154. Solve c*u - 4*y - 11 = 6, -7 = 2*u + y for u.
-1
Let g = 11141 + -11129. Solve -10*o + g*o + b = -6, -3*o + 2*b = -5 for o.
-1
Let m(x) = x**3 + 8*x**2 + 2*x - 4. Let r be m(-3). Suppose -59 + r = 2*c. Let s = c + 15. Solve o + 2*g + 5 = -1, -s*o = 5*g + 17 for o.
-4
Suppose 4*g = -24, 7*l - 2*l = -4*g - 9. Solve 0 = -3*z + u - 5, 24 = 5*z + l*u + 37 for z.
-2
Let l(r) = -r**3 - 81*r**2 + 254*r + 173. Let i be l(-84). Let t be (-34)/8 + 2/8. Let j = t - -14. Solve -3*m + 4*p = -i*m + j, 5*m + 31 = 4*p for m.
-3
Let w = 14 - 22. Let l be (-2 - 116)*4/w. Suppose -49 = 5*r - l. Solve r*g - 4*b = -8, -2*b + 8 = g - 0*b for g.
2
Let k = -338 + 341. Let w(s) = -s**3 + 2*s**2 + 6*s - 6. Let u be w(k). Solve 3*z + 2 = i + z, 5*i + u*z = 23 for i.
4
Let j(w) = w + 11. Let k(h) = -h**3 + 8*h**2 - 14*h + 9. Let f be k(5). Let s = f - 20. Let q be j(s). Solve -q*t + 25 = l, 2*t - 3 - 7 = -4*l for t.
5
Let i be (1 - -2) + 233 + -233. Solve -7*k + 12 = -i*k + 4*y, 4*k - 12 = 5*y for k.
3
Let w(t) be the third derivative of 13*t**4/12 - 33*t**3/2 + 223*t**2. Let a be w(4). Solve 2 = i + 2*r + 3, a*i + r = -23 for i.
-5
Let o(g) = 130*g + 133. Let w be o(-1). Solve 5*k + 1 = 2*h + 6*k, 11 = h - w*k for h.
2
Suppose -177 = -2*p - 3*v, -4*v + 4 = -8. Suppose p = 3*z + 30. Solve 2*u + u = 3*i - z, i + 5*u = -12 for i.
3
Suppose -u + 2*p = -2*p - 10, 5*p = -5*u + 25. Let k be (-4)/(6/3)*-1. Suppose -19*v - 65 = -24*v. Solve v = 3*t + l, -u*l = 4*t - k*l - 28 for t.
3
Let d be ((-18)/(-54))/(3/1251). Let j = d + -136. Solve 21 - 2 = -c + j*v, -4*v = 5*c for c.
-4
Suppose -89 - 51 = -15*b - 13*b. Solve -4*u + p = -19, b*p = -4*u + 19 + 6 for u.
5
Let x(q) = -14*q + 200. Let d be x(13). Suppose -d = -28*m + 19*m. Solve -30 = m*l - 7*l - 4*n, -l + 7 = n for l.
2
Suppose 2 = 9*u - 25. Suppose 2*w - 53*z + 11 = -50*z, 0 = u*z - 15. Solve w*r = p - 4*p - 4, -4*r = -2*p - 8 for r.
1
Suppose -6*u + 141 - 729 = 0. Let a = u + 98. Let g be (-4)/6 + 180/27. Solve a = -5*o + w - 22, w + g = -w for o.
-5
Suppose -118 = -9*l + 44. Let j be 4/l - -1964*(-3)/27. Let h be j/(-11) + 6/33. Solve 0*m + 2*m = -2*v - 10, -5*m = 4*v + h for v.
-5
Suppose -11*p + 319 = -308. Let a be (-6)/p - (-20)/(-38)*-4. Solve 12 = a*o - o - 2*q, 3*o - 5*q - 31 = 0 for o.
2
Let s be (-5 - -6)/((-2)/(-2)). Suppose -3*h - s - 17 = 0. Let a be (-9)/(-6)*(4/h - -2). Solve 4*t + 20 = -4*f, -f = -a*t + 6*t + 14 for f.
-2
Let r be (3/4 - 7/28)*146. Let i = r + -68. Suppose 4*k = -n - 8, i*n + 0*k - 2*k = 26. Solve 2*m = n*y - 10, 5*m + 3 = 2*y - 6 for m.
-1
Suppose -90*z + 186*z = 92*z + 16. Solve 2*q = -a + 7, 15*q - z = 19*q - 4*a for q.
2
Let u be -3 - (7 - (12 + -5)). Let w be u/(-7) + (-48)/112. Solve w = -2*b - 3*i + 12, -8 = 2*i - 6*i for b.
3
Suppose -18*a = -1447 + 403. Suppose -10*t + 8*t + a = 3*c, 0 = -c + 4*t - 4. Let z be 56/(c/4) + 18/6. Solve 0 = -4*l - 5*h + z, 6*l - l - 4*h + 30 = 0 for l.
-2
Let h be (-1 - (-6 - 0))*2. Suppose 2*i = -3 - 3, 0 = -q + 5*i + 18. Suppose -5*x + h = -q*x. Solve -10 = -2*s + 3*m, s + 4*s + x*m = 0 for s.
2
Suppose 3*h = 6*h - 72. Suppose 6 = 15*j - h. Let g be 17/3 + 1/3. Solve 4*n + 5*q + 10 + g = 0, -4*n - 16 = -j*q for n.
-4
Let j(r) = 241*r + 1693. Let w be j(-7). Solve -3*b - 18 = -3*u, -w = 4*b + 10 for u.
2
Let m(k) = -k**3 - 21*k**2 - 17*k - 8. Let a be m(-19). Let x be (a/(-55) - 9)*(-10)/4. Solve -x*i + 16 = 0, -6 = z - i - i for z.
2
Suppose -l + 99 = 30. Suppose -8*h = -l + 5. Solve 0 = 3*p + h*c - 3*c - 7, 2*p - 9 = c for p.
4
Let c(k) = -k**3 + 3*k**2 + 5*k. Let w be c(0). Solve w = 132*o - 134*o + 3*x + 10, 4*o = -5*x - 24 for o.
-1
Let b(h) = -h**3 - 7*h**2 + 18*h + 5. Let t be (-6)/4*-4*21/(-14). Let c be b(t). Solve 4*n = -i + 4*i + 1, c*n + 3*i = 35 for n.
4
Let u(s) = -4*s - 34. Let h(w) = -18*w - 168. Let d(b) = 3*h(b) - 14*u(b). Let a be d(16). Solve 0 = f - 5*n + 5, 0 = -0*f - 3*f + a*n - 4 for f.
0
Let k(g) = g**3 + 14*g**2 - 2*g - 22. Let n be k(-14). Let o be (-1)/(3/10*(-2)/n). Solve 0 = -5*w - z - 6, 3*z - o = -w - 0*z for w.
-2
Suppose 51*w = -197 + 44. Let l be ((-3087)/28)/(-9) - w/(-12). Solve 3*h + 5*v - 22 = 0, 3*h + l = h + 2*v for h.
-1
Suppose 0 = -12*p + p - 22. Let y be (0/((-28)/(-7)))/p. Solve 2*z + s = -y*z + 7, 13 = 4*z + 3*s for z.
4
Let p be 3 + 66/6 + 7. Solve c - 4*j - p = 0, -2*c + 0*c = j + 3 for c.
1
Suppose 36*u = 300 + 276. Let o(s) = -11*s + 189. Let m be o(u). Solve 4 = -4*d, -6*d - m = -3*z - 2*d for z.
3
Let p(h) = h**3 - 2*h**2 + h + 10. Let s be p(0). Let f = s + -5. Suppose -2*c = -13 + f. Solve -j + c = y - 5*j, y + 5*j = -5 for y.
0
Let s = 11 - 8. Suppose 1096*r - 1494 = 1013*r. Solve s*g = 5*p - 14, g + 4*p + 0*p = r for g.
2
Let x(f) = -98*f - 585. Let o be x(-6). | {
"pile_set_name": "DM Mathematics"
} |
digit of u?
3
Let y be -1 - -8 - (-7 + -2)/(-3). Suppose -y*d + 6*d = -5*b + 386, b = d + 73. What is the tens digit of b?
7
Let w(n) = -4*n**2 + n - 2*n**2 - 3 + n**2 + n**3. Let m be w(5). Suppose -6*q + m*q + 4 = 0. What is the units digit of q?
1
Suppose -11 = 3*l - 5*w, -l + 2*w - 1 = 4. Suppose -o = l*o. Suppose -2*t + 4*f = -22, 3 = t - o*f - 4*f. What is the tens digit of t?
1
Let i(l) = 16*l - 725. What is the tens digit of i(57)?
8
Let g(o) = -o**3 - 9*o**2 + o + 7. Let s be g(-9). Let v(z) = -28*z + 4. What is the tens digit of v(s)?
6
Suppose -239 = -x - d, -5*x + d + 273 + 904 = 0. Suppose -3*m + x = -m. What is the hundreds digit of m?
1
Suppose h = -100*y + 95*y + 16473, 4*y - 3*h - 13186 = 0. What is the thousands digit of y?
3
What is the hundreds digit of -148*(20/(-16) + (-9)/12)?
2
Suppose 270 = 4*i - 66. Suppose -q + i = 2*q. What is the tens digit of q?
2
Let b(l) = -l - 4. Let d be 152/(-16) - (-1)/2. Let f be b(d). What is the tens digit of f/((-10)/(-6)) + 28?
3
Suppose 2*b = u + 11, 2*b - 3*u - 6 = -5. Let i be 2/15 + b/(-60). What is the tens digit of (1 + 7)*(i + 4)?
3
Suppose -63*g = -114*g + 61302. What is the thousands digit of g?
1
Suppose 12 = 7*i - 72. Suppose 0 = 4*w + 4*l - i - 140, 3*w - 107 = 4*l. What is the tens digit of w?
3
What is the units digit of 2*((-1402)/(-4) - 0)?
1
Let m(q) = -q**2 + 3*q - 2. Let f be m(2). Suppose a = -f*a. What is the tens digit of (a - 44/(-12))*3?
1
What is the tens digit of (-9988)/(-22) + (10 - 1)?
6
Let q(v) = -v**3 - v**2 + 1. Let n be q(1). Let x be (8 - -1)*(-10)/2. Let c = n - x. What is the units digit of c?
4
Let z(b) = -b + 34. Let n be z(16). Suppose -2*o + 0*o - 17 = 5*c, -2*c = -2*o + n. What is the units digit of 8/12*150/o?
5
Let l(v) = -v**3 - 3*v**2 + 7*v - 9. Let o be l(-5). Suppose -o*n + 168 = -0*n. What is the tens digit of n?
2
Let f = 595 - 425. What is the tens digit of f?
7
Let r(f) = -f**3 + f - 2. Let t be r(-2). Suppose t*a = 3*a + 31. What is the units digit of a?
1
Let b be (-26)/(-9) - (-4)/36. Suppose b*v - h + 5*h - 592 = 0, 3*v = -3*h + 597. What is the units digit of v?
4
Let s(a) = -a**3 - 3*a**2 - 3*a - 3. Let i be s(-3). Let u(z) = -3*z**3 + 10*z**2 + 22*z + 2. Let t be u(-2). Let r = t - i. What is the units digit of r?
6
Suppose 19*h - 8551 = 2*h. What is the tens digit of h?
0
Let a(u) = u**3 - 5*u - 2. Let c be a(0). Let n = -1 - -5. Let z = n + c. What is the units digit of z?
2
Suppose 3*d - 1382 + 254 = 0. What is the hundreds digit of d?
3
Suppose -5*y + 45 = -10. Let a = y - 6. Suppose 0 = -4*d - 4*x + 176, -9 = a*d + 4*x - 226. What is the units digit of d?
1
Suppose 10*a - 2*l = 5*a + 1100, 2*l = -5*a + 1100. What is the hundreds digit of a?
2
Let s = 744 - 272. Suppose -2*l + s = -66. What is the hundreds digit of l?
2
Suppose 4*g = -f - 15, 3*f = g - 1 - 44. Let s = 45 + f. What is the tens digit of s?
3
Suppose 15*p = -11*p + 16276. What is the tens digit of p?
2
Suppose 5*j - 287 = -w + 1295, -305 = -j - 4*w. What is the hundreds digit of j?
3
Suppose 9 = x + 5. Suppose 8 = 2*b, -2*b + x*b = j - 13. What is the tens digit of j?
2
Suppose -13 = -b + v, b + 3*v - 105 = -4*b. Suppose 8*s = 11*s - b. What is the units digit of s/2 - 2 - -23?
4
Suppose -2*s + 1786 = m, -4*s + 7616 - 452 = 4*m. What is the hundreds digit of m?
7
Let s(x) = 4*x**2 + 6*x + 3. Suppose 11*c + 8 = 9*c. Let g be s(c). Let y = g + -21. What is the units digit of y?
2
Let m = -1 - -13. Let c be ((-66)/(-9))/(2/m). Suppose -t = t - c. What is the tens digit of t?
2
Let r = 19 + -11. What is the units digit of 3/(12/r) - -19?
1
Let b = -125 + -85. What is the tens digit of (b/25)/(129/(-60) - -2)?
5
Let h(v) = v**3 + 2*v**2 - 2*v. Let k be h(-4). Let q be ((-14)/(-8))/(-7) - 1585/(-20). Let c = q + k. What is the units digit of c?
5
Let b be 66 + 1*(-3 - -7). Suppose -b = v - 160. What is the tens digit of v?
9
Let u(x) = 2*x**2 + 12*x + 7. What is the units digit of u(11)?
1
Suppose q + 80 = 5*t + 6*q, 21 = t - 4*q. Suppose 0 = -5*c + 104 - 34. Suppose t*o - 102 = c*o. What is the units digit of o?
4
Suppose -8 = 9*j + 10. What is the units digit of 1404/39*(j/(-4) + 0)?
8
Suppose -4*y = -3*q + 4, 5*q + 5 = 25. What is the tens digit of (-4)/8 + ((-293)/(-2) - y)?
4
Let y = -4200 + 6155. What is the hundreds digit of y?
9
Let m be (-13)/4 - (-6)/(-8). Let b be (7 + -5)*(-2 - -1). What is the tens digit of b/m - (-25)/2?
1
Let r be 0/(2/(-1))*-1. Let f be r/3 - (7 + 2). Let j = 37 + f. What is the tens digit of j?
2
Suppose 2*v - 48 = -v. Let j = v - -34. Let s = j + 12. What is the units digit of s?
2
What is the units digit of 6/8*(-4 - -2 - -70)?
1
What is the units digit of -4*(-5)/20 + -1 + 500?
0
Let m(o) = -o**3 + 9*o**2 - 4*o - 19. Let n = -10 - -18. What is the units digit of m(n)?
3
Let q = 90 - 31. Let y be (-15)/(-20) + q/(-4). What is the units digit of (12/y)/(5/(-140))?
4
Suppose -133 = -8*f + 1827. What is the units digit of f?
5
Let q be ((-36)/90)/(2/(-20)). Suppose -20 = -q*v + 4. Suppose v*g + 0*g = 96. What is the units digit of g?
6
Let m(b) = 23*b**3 + b**2 - b + 1. Let g = 35 - 34. Let u be m(g). What is the tens digit of (-114)/4*u/(-18)?
3
Let d be ((-20)/(-170) + (-10083)/17)/1. Let j = -375 - d. What is the hundreds digit of j?
2
Suppose 1660 = n + 4*n. Suppose 9*t = 7*t + n. What is the units digit of t?
6
Suppose -2*l - 2*t = -38 + 176, 142 = -2*l + 2*t. Let s be (7 - 3) + -3 + l. What is the units digit of 2/4 + s/(-2)?
5
Let k = 2393 + -1043. What is the tens digit of k?
5
Let c be (-1)/3 - (-4)/(24/98). Suppose -c*y = -18*y + 200. What is the hundreds digit of y?
1
Suppose 29*k - 670 = 24*k. Let q = 193 - k. What is the tens digit of q?
5
Let u(f) = f**2 - 13*f + 14. Let m be u(12). Suppose 3 = -m*k + 17. Suppose -3*z - k*r = -2*r - 213, -3*z + 3*r + 237 = 0. What is the units digit of z?
6
Suppose -3*z + 80 = 5*n, -n + 122 = 4*z - 2*n. What is the tens digit of ((-12)/5)/((-6)/z)?
1
Let x(r) = -12*r + 35. Let c(n) = -3*n + 9. Let d be 4*2*(-3)/12. Let w(z) = d*x(z) + 9*c(z). What is the tens digit of w(-13)?
5
Let s(b) = -b**3 - 17*b**2 - 16*b + 71. What is the units digit of s(-21)?
1
Suppose -12*t + 10*t + 1062 = 0. What is the units digit of t?
1
Suppose -1497 = -h - 5*d, -5*h = -2*d + d - 7615. What is the hundreds digit of h?
5
Suppose -77 = -16*u + 35. What is the units digit of u?
7
Let b(l) = 6*l**2 + 2*l + 2. Let s be b(-4). Suppose 48 = -14*m + 26*m. Suppose -m*h = -5*y + s + 224, 0 = y + 2*h - 74. What is the tens digit of y?
6
Suppose 2*o + 182 = 2*q, 0*o = -2*o + 10. Suppose 4*p - q = 200. What is the units digit of p?
4
Let r be (-3 - -20)/(2/152). Let m = -917 + r. Suppose 0 = 7*q - 2*q - m. What is the tens digit of q?
7
Suppose -3*z + 5*d + 32 = 0, -4*z + d + 8 = 3*d. Suppose -127 + 31 = z*k. Let h = 0 - k. What is the tens digit of h?
2
Suppose 0 = -5*m + 39 + 26. Let r = -8 + m. What is the tens digit of (-7 + r)/((-2)/18)?
1
What is the hundreds digit of 4 + 348 + 4/4?
3
Let o(m) = 67*m + 44. What is the thousands digit of o(19)?
1
Let d(b) = b**2 - 14*b + 4. Let a be d(18). Let f = 174 - a. What is the units digit of f?
8
Suppose 0 = -4*f + 2*f - 16. Suppose 5*h - 138 = -3. Let r = f + h. What is the units digit of r?
9
Let p(a) = -a**3 - 7*a**2 - 3*a + 4. Let z be p(-5). Let j = z - -36. Suppose -60 = -2*u - 5*m, 0 = -8*u + 3*u - j*m + 165. What is the units digit of u?
5
Suppose -2*k + k - 60 = 0. Let h be (-38)/(-8) - 15/k. Suppose h*u - 4*z - 228 = 0, -u + 27 + 9 = -4*z. What is the units digit of u?
8
Suppose -3*l + d + 2664 = -1148, -l + d + 1274 = 0. What is the units digit of l?
9
Let g = 14344 + -9133. What is the units digit of g?
1
Let b(q) = -8*q + 12. Let x(m) = -7*m + 11. Let o(y) = -3*b(y) + 4*x(y). What is the tens digit of o(-6)?
3
Suppose -23*c = -62011 - 963. What is the hundreds digit of c?
7
Let v = -3 + 77. Suppose 60*u - 61*u = -v. What is the tens digit of u?
7
Let y be (-108)/(-26) + 8/(-52). Let u(z) = z**2 + z - 1. What is the units digit of u(y)?
9
Let i be -3 + 4/(-4)*3. What is the units digit of (-33)/i*(-1 + 7)?
3
Let z be 30/(-10) + (2 - 0) + 1. Suppose 0 = -3*u + 5*u - 5*l - 230, z = u + 2*l - 106. What is the hundreds digit of u?
1
Let l(i) = 5*i**2 + 7*i - 7. | {
"pile_set_name": "DM Mathematics"
} |
pose 2*h = -22*x + 27*x - 25, -4*x = -5*h - 20. Solve x*m - 2*s = s - i, 5*s = -2*m + 3 for m.
-1
Let u = -568 + 596. Let g(x) = x**2 + 5*x + 6. Let q be g(-5). Let o(a) = a**3 - 6*a**2 + 4. Let v be o(q). Solve 5*y + i = -28, -4*y - v*i - u - 4 = 0 for y.
-5
Let x = 23 + -20. Suppose 3*j - z - 8 = 0, -3*z - x = 3. Suppose 5*t + j*k - 28 = 6*k, t + 2*k = 0. Solve 2*m = t*a - 20, 3*a - 2 = 4*m + 18 for m.
-2
Let t be 2/(-5) + (-54)/(-10). Let l = t + -13. Let y(k) = -k**2 - 9*k - 5. Let j be y(l). Solve -b = 2*b, 3*g + j*b = 6 for g.
2
Let i be -14*(-3 - 9/(-2)). Let v be 7/i + (-13)/(-3). Solve -2*h = v*p, 4*p - h - h = 16 for p.
2
Suppose 3*j = -2*j + 20. Suppose 0 = 5*w - j*p - 59, w - 35 = -5*p. Let r be ((-25)/w)/(1/(-3)). Solve -x - 11 = -r*i - 3, 5*x = 4*i - 19 for i.
1
Let u = 1028 - 572. Let n be u/9 - 6/(-18). Let c be 1/(-4) - n/(-12). Solve -c*k - 32 = -3*w, -2*k - 5*w - 2 = -3*w for k.
-5
Suppose -131 = 5*i - 391. Suppose 4*a = -4*j + i, -1 = -4*j + 3*j. Solve o - 5 = -4*p + a, 2*p - 3 = 5*o for o.
1
Let t = 162 + -95. Let k = t + -63. Solve 0 = -5*u + k*f + 4, -2*f + f - 4 = -2*u for u.
4
Suppose 0 = 3*o - 4*c - 48, -91*o + 90*o + 4*c = -8. Solve 0 = 3*q + 4*d + o, -5*d - 21 - 4 = -5*q for q.
0
Let r(l) = -l**3 + 5*l**2 - 4*l. Let m(u) = -u**3 + 4*u**2 + 7*u - 7. Let o be m(5). Let x be r(o). Solve 2*h = -s + x, h = s - 0*h for s.
2
Let o(j) = -6*j - 3. Let f be o(-1). Let y(i) = 3*i - 9. Let s be y(f). Solve 3*w - 2*w + 5 = -2*x, s = x - 5*w + 8 for x.
-3
Let i = -309 - -311. Let n = 32 + -23. Suppose 9 = 4*k + p, -4*p + 0 - n = k. Solve 3 = 5*a - i*h, k = -h - 1 for a.
-1
Suppose 132*h - 134*h - 14 = -w, 3 = -h. Solve 5*j = -3*u - 31, w*j + 18 = u + 4*j for u.
-2
Let d(o) = -119*o - 829. Let w be d(-7). Solve -w*r + 16 = -5*j, -2*r + 2 = -6 for j.
0
Suppose -k - 4*i - 24 = 0, -8*k = -5*k + 5*i + 72. Let m be k/60*(1 + -11). Solve 2*s + 2 = 0, 2*q - 3*q + 7 = -m*s for q.
3
Suppose 5*x - n - 6 = 0, -4*x + 5*n - 3*n = 0. Suppose -9 = 4*t - 13. Let i = x - t. Solve y - s - i = -0, 3*s = 5*y + 3 for y.
-3
Suppose -11*k + 14 = 2*h - 14*k, h + 2 = -3*k. Solve -3*d = -h*c, d + 5 = 3*c - 0*d for c.
3
Suppose -2*c + 0*r = -r - 109, 0 = -2*c - 5*r + 127. Suppose 10 = -2*l + c. Solve -3*v = 3*z + 15, -3*v = -8*v - 4*z - l for v.
-3
Let b = -31 + 34. Suppose 4*l = -b*l. Solve -4*d - k - 2 - 11 = l, -1 = -2*d + k for d.
-2
Suppose -3*c + 4*k = -5*c - 16, -c - 18 = 4*k. Suppose -5*m + c = -8. Solve -4*g = 4*q - 20, -3*g - m*q + 10 = 2*g for g.
0
Suppose 3*f - 2*j = -221, -3*f + 5*j = -2*f + 65. Let g = f + 80. Solve g*m + 2*b - 3 = 0, 2*m + 4*b = m - 3 for m.
1
Suppose -h = 4*h - 10. Let k = 64 + -62. Let m = 7 - 3. Solve 2*i + 4*l = i + 13, -h*i + k = -m*l for i.
5
Suppose -144 = -6*d + 72. Let k = d - 32. Suppose 0 - 10 = -5*v. Solve 2*h - 1 = 3*c + v, -k = -3*h + 4*c for h.
0
Let c be (3/(-5))/((-10)/50). Let q be (-25)/((4 - c)*-1). Suppose 5*v = -3*z + q, -v = -5*z + v + 21. Solve 3*o - 2*o - 1 = -3*m, z*m = 3*o - 3 for m.
0
Let o be -2 - (8 + -4 - 10). Solve -5*b - 2*h = 9, -o*b + 5*h = -0*h - 6 for b.
-1
Suppose 87 = -n + 45. Let p = n - -42. Solve p = -5*q, 3*q = -3*f - 0*q for f.
0
Suppose -2*m = -154 + 134. Solve 2*t - 3*o = 23, -3*t - o = -m + 3 for t.
4
Let b(y) = y**3 + 12*y**2 + 13*y + 27. Let r be b(-11). Solve 3*p - 10 = -r*g, 7*p = 4*p for g.
2
Suppose 40 = -5*o + 3*l, 3*o + 4*l + 20 = -4. Let c be 1/2 + ((-60)/o - 4). Solve -4*p - 22 = c*u - 3*u, 3*p = 5*u - 5 for p.
-5
Suppose c + 17 = -25. Let f = c + 63. Solve 12 = -4*h, 2*t - 5*t = 5*h + f for t.
-2
Let o be 5/25 - 171/5. Let i = o - -39. Solve 0 = -i*h + 5*k - 25, 4*h + 2*k + 2 = -0*k for h.
-2
Let c be (0 - (1 - 1))/2. Suppose c*x - 4*x = y + 10, -5*y + 60 = -2*x. Let h = 0 + y. Solve 4*b - h = -2*d, 0 = 5*d - 0*b + 3*b + 3 for d.
-3
Suppose -30*f = -18*f. Solve 5*d + 2 = -2*p, d + f = p + 1 for p.
-1
Let g(z) be the third derivative of -z**4/24 + 5*z**3/6 + 6*z**2. Let o be g(2). Solve -r + 3*r + 25 = -o*x, -45 = 4*r + 5*x for r.
-5
Let n be (-6)/21 - (-60)/14. Let w be -1*((-24)/15)/((-10)/(-25)). Let c = 1 - 1. Solve c = p - h - w + 2, -p + 2*h = -n for p.
0
Suppose 31 = 2*k + 5*m, -2*k - m = 2*m - 21. Let t be (1/(-2))/(1/16). Let z be 0/(5/(20/t)). Solve 4*b + b - 2*g + 8 = z, -3*b - k = -3*g for b.
-2
Suppose 0 = -3*m + 6*m - 27. Let v = 3 + 0. Suppose -y + 0 + m = 2*i, -y = -i - v. Solve 3*a - 2*q = -i, -2 = 5*a - q + 13 for a.
-4
Let o(s) = 4*s + 149. Let l be o(-36). Solve -2*f = -l*d - 13, 3*f = d + 19 - 6 for d.
-1
Let n(q) = q**3 - 2*q**3 - 3*q**2 - 8*q**2 + q + 13. Let a be (363/44)/(33/(-44)). Let x be n(a). Solve 6*h = h + d - x, 6 = 2*h + 3*d for h.
0
Let l(r) = -r**2 - 45*r - 81. Let p be l(-43). Solve -3*k + 5*d = d + 14, -p*d + 4 = 3*k for k.
-2
Let j(y) = y**3 - 4*y**2 + 4*y. Let q be j(4). Let b = -14 + q. Solve t + 1 = -2*g, -b*t = t - g - 4 for t.
1
Suppose 3*c = -4*o + 31, -23 = -2*c - c - 2*o. Let k be (0/(c - 2))/3. Solve k = -2*s - 5*z - 11, -z - z = -5*s - 13 for s.
-3
Let t(v) = v + 7. Let y be t(-4). Suppose 3*z + 0*i - 12 = y*i, i = -4. Solve -2*b + 3*s = -s - 2, z = -4*b + 4*s - 8 for b.
-5
Let y = -1254 - -1257. Solve -5*j + 2*c = -17, 3*j + y*c - 46 + 19 = 0 for j.
5
Let c = 15 + -33. Suppose 0*q + 50 = -4*q + 5*o, 2*o - 56 = 4*q. Let u = q - c. Solve 4*r + u*p + 15 = -12, 4*r + 2*p + 22 = 0 for r.
-3
Let j(b) be the second derivative of -b**5/20 - b**4/2 - b**3/2 - 15*b**2/2 + 11*b. Let d be j(-6). Solve 2*x + 16 = -5*n, -4*x - 3*n - 21 + d = 0 for x.
-3
Suppose -73 = -3*u + 11. Let h = -72 - -62. Let d = h + u. Solve -d = 5*i - 2*w, -2*i - i + 2*w - 14 = 0 for i.
-2
Let a(q) = -q + 30. Let t = 36 - 19. Let j be a(t). Solve 4*g + j = -5*n, -3*n + 1 = -2*g - 0*n for g.
-2
Let d be 47/9 - 38/171. Suppose -n - 3*s = -11, 0 = d*n - 0*s + 3*s - 43. Solve -4*j = -5*w + 17, 2*j + n + 0 = 2*w for j.
-3
Let u(q) = -10*q - 1. Let i be (1/(-2))/(5/(-70)). Let h = -8 + i. Let f be u(h). Solve f + 3 = -5*v + 2*r, 1 = r for v.
-2
Suppose 2*h = -3*x + 2*x + 12, 4*h - 16 = 0. Suppose -u = x - 7. Solve -u*j = -f - 6 + 1, 0 = 2*f - 8 for j.
3
Let y be ((-6)/(-4))/((-3)/12). Let j be (-40)/y + (-7)/(-21). Solve -4*r = 3*m + 5, 10*r + j = 5*r - 4*m for r.
1
Let o(r) = -r**3 - r**2 - 4. Let j be o(-2). Solve -4*p + h + 12 = 0, j = 5*p - 3*h - 4 - 4 for p.
4
Let l = -6 - -8. Suppose -2*o + 1 = z - 7, -5*o + l*z = -11. Suppose -2*b - a = -9, -o*b + 4*a = -7*b + 28. Solve -5*t - 2*v = 12, -b*v = -5*t - 0*v - 8 for t.
-2
Let h = -46 + 54. Let y = 0 + 3. Suppose y*f = f + h. Solve 2*r = 2*a - f, 2*a = -3*r + r + 4 for a.
2
Suppose -6*g + 84 = -2*g. Let z be 4/10 + g/35. Let m be ((-213)/(-9) - -2) + (-4)/6. Solve -3*l - m = 4*x, -2*x = -6*l + 3*l - z for x.
-4
Let c(n) = -n**3 + 29*n**2 - 26*n - 41. Let l be c(28). Solve 3*q = -9, 8*q + l = -t + 3*q for t.
0
Let d be (-114)/(-15) + (-15)/25. Solve -3*v + q = d, -4*q = -5*v + 8*v + 32 for v.
-4
Suppose 0 = -7*p + 5 + 2. Suppose -d + p = -6. Solve -2*n + d*n = -3*g - 3, 0 = 5*n - 5*g - 5 for n.
0
Let d(i) = 3*i**2 + 16*i + 15. Let v be d(-7). Let p = -45 + v. Solve -3*n = n, 5*n + 10 = -p*s for s.
-2
Suppose 9*v - 128 = 5*v. Let w be ((-15)/12)/((-4)/v). Solve -w = -d + 5*d + 2*g, 0 = 5*d - g - 5 for d.
0
Suppose 6*h + 50 = h. Let b be (-36)/h - 2/(-5). Solve 2*j + 18 = b*o + 2, 0 = -4*j + o - 4 for j.
0
Let u(q) be the second derivative of -2*q**3/3 - q**2/2 - 13*q. Let h be u(-1). Solve 4*p + h*o + 3 = 2*p, -3*p - 3*o = 0 for p.
3
Let s = 7 + 17. Suppose 8*w - s + 8 = 0. Solve -o - 4 = -w*c - 17, -5*c - 28 = -o for o.
3
Let m = -802 - -810. Solve 10 = 5*w - o, 4*w + 2*o = o + m for w.
2
Let g = 233 + -228. Solve -l = -j + 3*j + 5, 0 = 4*l - g*j - 19 for l.
1
Suppose -5*d = -10 - 10, -5*r - d - 16 = 0. Let s be 1132/60 - r/30. Suppose 3*w - s = -4. Solve -5*f - 4*q - 6 = -w*q, 14 = -f - 3*q for f.
-2
Let k = 153 - 151. Solve -5*r - k*b + 4 = -3, r - b = 0 for r.
1
Suppose -110*a + 103*a + 28 = 0. Solve -32 = 3*r + b - 13, -36 = a*r + 4*b for r.
-5
Suppose -5*z - 8 = -3, -x = -4*z - 7. Suppose 4*d - 5*y + 2*y = 19, -3*y - 13 = 2*d. Let u = d + x. Solve 12 = -u*l + 4*h, 7*l - 2*l + 2*h - 13 = 0 for l.
1
Suppose -3*c = -7*m + 2*m + 55, -5*m = c - 35. Suppose s - 60 = -5*b, 5*s = -4*b + 2 + 25. Let j = b - m. S | {
"pile_set_name": "DM Mathematics"
} |
v(3) a prime number?
False
Suppose -4*s + 753 = -26843. Is s prime?
True
Let y = -7616 + 13645. Is y a prime number?
True
Suppose 4*v - 44043 = -5*n, 2*n - 2*v = 3*n - 8811. Is n composite?
False
Suppose 0 = -7*s - s + 42088. Is s composite?
False
Suppose b = -4*n + 14267, -b + 0*b = 5*n - 17833. Is n composite?
True
Let o = -1219 + 4370. Is o prime?
False
Suppose -4*b + b + 27 = 0. Let u be (b*(-3)/(-9))/1. Is 6/4*314/u a composite number?
False
Let l = -28 - -36. Suppose 2*g - 5*w + 33 = 0, 2*g - l = -3*w - 1. Is ((-62)/g)/(14/28) a prime number?
True
Let n(l) = -43*l - 4. Let x be n(5). Let c = x + 316. Is c composite?
False
Suppose -3*h = -h - 582. Let d = -160 - -302. Let l = h - d. Is l composite?
False
Let q(z) = -2*z. Let n be q(-1). Suppose -4*r - 14 = -h, -3*h + 6 = -n*r - 6. Suppose 0 = h*m - 152 - 146. Is m a composite number?
False
Suppose 695 = 2*w - 567. Is w prime?
True
Suppose 2*q - 24 + 20 = 0. Suppose 0 = -n + 3*c + 632, q - 1 = c. Is n prime?
False
Suppose 3*r = 3*s - 2700, r = -s + 6*r + 888. Suppose 0 = 2*p - p + s. Let y = -625 - p. Is y a composite number?
True
Suppose -3*a = -2*v + 7*v - 20317, -2*a = -2*v - 13566. Is a composite?
False
Let b = 11181 - 7192. Is b prime?
True
Is -11157*((-35)/(-21))/(-5) prime?
True
Let a = -508 + 284. Let k = a - -426. Is k a composite number?
True
Suppose 10*s + 97 = -2*r + 7*s, 3 = -3*s. Let i be (70 - -1)/1 + 1. Let n = i + r. Is n a composite number?
True
Suppose -126*o = -119*o - 13069. Is o prime?
True
Suppose 0 = 2*s - 6*s + 24. Suppose s*r - 8966 = 2392. Is r prime?
False
Let o be 50/(-15)*3/(-2). Suppose -g + o*g = 0. Suppose g = -s + 2*s - 721. Is s composite?
True
Let v(i) = i**3 + 4*i**2 + 3*i - 3. Let d be v(-3). Let q = 0 - d. Suppose q*g + 2*s - 889 = 7*s, -5*s - 303 = -g. Is g a composite number?
False
Let b be (-25)/(-2)*12/30. Suppose -4*o + h + 374 = 0, 8*h = -o + b*h + 100. Is o prime?
False
Suppose 0 = -3*t - 3*x + 1509 + 8616, -6756 = -2*t + x. Is t a composite number?
True
Suppose -5*n = -25 + 10. Let v(l) = -l**2 + 4 + 0 - 3 - 2*l - 2*l**2 - 27*l**n. Is v(-2) prime?
False
Let k(n) = n**3 + 7*n**2 + 6*n + 3. Let h be k(-6). Suppose d - h*d = 0. Suppose d = 5*a - 167 - 3. Is a prime?
False
Let i be 2/3 - 28/(-12). Let z be 1/3*(-3 + i). Suppose -2*m - y + 212 = 0, z = -3*m + y + 159 + 159. Is m a composite number?
True
Suppose -4*o = -2*r + 46, -4*r - 74 = 5*o + 16. Let f = o + 18. Suppose -f*c = 3*s - 2708, 2*s - 38 = -c + 639. Is c a composite number?
False
Suppose 4*b - 12 = 4*k, k - 3*b - 3 + 12 = 0. Suppose k = 58*j - 57*j - 115. Is j a prime number?
False
Let m(b) = -497*b - 8. Let n be m(-3). Suppose -3*s - n = -2*v, 3*s = 3 - 0. Is v composite?
False
Is (8 + -9)*(-17339 + (-1 - -1)) prime?
False
Let q(n) = 323*n**2 - 4*n - 6. Is q(-2) a composite number?
True
Let b(j) = j**2 - 2*j + 9. Let h be b(6). Let r = h - 24. Let v(t) = t + 12. Is v(r) a composite number?
True
Let q(h) = 2*h**2 + 5*h + 1. Let s be q(2). Is (-12)/8*-2*s a composite number?
True
Let v be 0/(-2)*2/(-6). Let n(w) = 3*w + w**3 - 5 - 2 + v*w + 3 - 7*w**2. Is n(9) composite?
True
Let c be ((-4)/1 - (1 + -8))*6. Suppose 1595 = 23*s - c*s. Is s prime?
False
Suppose -w + 2*w = 2*s - 513, 0 = -w + 5*s - 528. Let i = 296 - w. Is i composite?
True
Let m(z) = -125*z**3 + 4*z**2 + 2*z + 4. Is m(-3) composite?
True
Is (-82234)/((-7 + 6)*2) prime?
True
Let m(g) = 63*g**2 - 2*g + 3. Let q be m(4). Let i = q - 449. Is i a prime number?
False
Suppose 281*o - 279*o = 7226. Is o a prime number?
True
Let f(z) = -z**3 - z**2 - 4*z + 7. Suppose -o - 5 = -6*o. Let m be o/(2 - (-39)/(-18)). Is f(m) composite?
False
Let j(u) be the second derivative of 47*u**4/6 + 3*u**2/2 + u. Let q(l) = -7*l - 33. Let r be q(-5). Is j(r) a prime number?
True
Suppose 0 = -3*j + 6 - 87. Let v = 715 + j. Suppose v = 2*x + 174. Is x prime?
True
Let x be 10/(-6)*18/(-10). Suppose 0 = 3*c - x*h - 1044, 5*c - 2*h + 0*h = 1737. Is c a composite number?
False
Suppose 109*o - 110*o = -758. Is o/(-4)*(-3 - 11) a composite number?
True
Let j = 67 - 28. Let g = 18 - 13. Suppose -g*c + j + 131 = 0. Is c a composite number?
True
Let m = 12291 - -298. Is m a composite number?
False
Suppose -24*j = 4*j - 54908. Is j a prime number?
False
Suppose 81076 = 4*s + z + 3*z, 2*z = 3*s - 60817. Suppose 0 = -2*d + w + s, 2*d - w - 2*w - 20281 = 0. Is d composite?
False
Let f(v) be the third derivative of 0*v + 0 - v**2 + 1/15*v**5 + 5/3*v**3 - 3/8*v**4. Is f(7) a composite number?
True
Let q = 8056 + -5627. Is q a composite number?
True
Let a(p) = -p**2 + 8*p + 11. Let i be a(10). Suppose 0 = 3*t - 0*b - 3*b - 33, -b = 2*t - 16. Is (-2)/t - 1001/i a composite number?
True
Suppose 0 = -343*u + 394*u - 19431. Is u composite?
True
Suppose 32*d + 56 = 39*d. Is ((-2)/d)/(1*1/(-1172)) a prime number?
True
Let t(r) = -r**3 + 12*r**2 + 6*r + 5. Let y be (18/(-27))/((-2)/18). Is t(y) composite?
False
Suppose t + 957852 = 3*h, -h - 23*t = -26*t - 319276. Is h a composite number?
True
Suppose 3*l - 1641 = 3*n + n, -2*l - n = -1105. Suppose -83 = 2*q - l. Suppose -5*o - 3*c + 236 = 0, -5*o - 2*c = -0*o - q. Is o prime?
False
Let d(x) = x**2 + 4*x + 5. Let i be d(-3). Suppose -2*l + 0*b + 2338 = 5*b, 0 = i*b - 8. Suppose 0 = -3*h - 4*p + l, -h = 2*h + 5*p - 1154. Is h composite?
True
Suppose 0 = 3*f - 0*f + 4*l + 14464, f + 3*l = -4823. Let q be 8/(-28) + f/(-14). Suppose -q = -w + 65. Is w composite?
False
Suppose -5*n - 16728 = n. Let p = 5241 + n. Is p a prime number?
False
Let w(y) = y + 15. Let k be w(-12). Suppose -4*s = -3*f + 2169, -2196 = -k*f - 0*s - 5*s. Suppose 4*t - f = 3*r, 4*r = -3*t - 0*t + 539. Is t composite?
False
Suppose 13*n = 12*n + 9. Let z(t) = 7*t - 1. Is z(n) prime?
False
Let c(w) = 1761*w - 12. Is c(9) a prime number?
False
Let l(z) be the second derivative of 5*z**4/4 + z**3/3 - z**2 - 15*z. Is l(-3) composite?
False
Is 4/44 - (596505/(-33) - 3) a prime number?
False
Suppose -2*q - 28 + 8 = 0. Let u(d) = d**3 + 10*d**2 - d - 5. Let l be u(q). Suppose l*f - 262 = -x - 2*x, 0 = -2*x - 4*f + 178. Is x a composite number?
False
Let q be 16656/9 + 3/9. Suppose -10*a + q = -179. Is a composite?
True
Let w = -2482 + 1671. Let m = w + 1289. Is m prime?
False
Let s(j) = 65*j**3 + 3*j**2 - 2*j + 2. Let q be s(-3). Suppose 187*f + 5022 = 185*f. Let c = q - f. Is c prime?
False
Let b be (16/12)/(2/6). Let u(a) = -a**2 + 5*a + 3. Let t be u(b). Let z(y) = 8*y**2 - 14*y - 7. Is z(t) prime?
False
Suppose 0 = -5*i - 0*i + 3915. Let n = i + 2. Is n a composite number?
True
Let y(z) = -5*z**2 + 2*z - 162. Let o(u) = 2*u**2 - u + 54. Let n(q) = 8*o(q) + 3*y(q). Let w be n(0). Let m = w + 181. Is m composite?
False
Let f(l) = l**2 + 4*l + 1. Let r be 12/28 + 174/(-14). Is f(r) a prime number?
True
Let b(x) = -3406137*x**3 + 14993*x**2 - 14993*x. Let t(q) = 1363*q**3 - 6*q**2 + 6*q. Let i(w) = -6*b(w) - 14993*t(w). Is i(1) a prime number?
False
Let x(n) = n + 13. Let o be x(-6). Suppose -o*v - 5*c + 430 = -2*v, -3*v + 5*c = -250. Let u = v - -402. Is u a composite number?
False
Let g = 5583 + -2785. Is g a composite number?
True
Let x be ((-8)/(-6))/((-6)/225). Let t be 18/6 + -3 + 3. Let v = t - x. Is v a prime number?
True
Suppose -13*q + 6*q = -2632. Suppose q + 238 = 2*c. Is c prime?
True
Suppose 27*s - 22*s + 3565 = 0. Let k = s - -1864. Is k composite?
False
Let x = 441 - 2183. Let q = -933 - x. Is q composite?
False
Suppose -6*k = -5*k - 3. Suppose -4*p = v - 239, -458 - 207 = -k*v + p. Is v a composite number?
False
Suppose 4*s = -3*f - 17414 + 63087, -4*s - 8 = 0. Is f a prime number?
True
Let q = -377 + 700. Suppose n = q + 8. Is n a composite number?
False
Let c = 714 + 31. Is c a composite number?
True
Let n(j) be the first derivative of -25*j**4/8 + 7*j**3/6 + 3*j**2 - 14. Let l(x) be the second derivative of n(x). Is l(-6) a prime number?
True
Suppose 3*m + 3*h - 1476 = 4*h, 3*m = 4*h + 1467. Is m a composite number?
True
Suppose -3*s - 4*k = s - 6164, -3*s + 4*k = -4637. Is s composite?
False
Let u(n) = 2*n**3 + 7*n**2 + 5*n + 5. Let f be (-130)/18 + (-10)/(-45). Let w be u(f). Is (w/(-2))/(1/2) a prime number?
True
Let z(n) be the second derivative of -n**4/12 + 5*n**3/6 + 355*n**2/2 + 16*n. Is z(0) a composite number?
True
Let b be (- | {
"pile_set_name": "DM Mathematics"
} |
before 7:33 AM?
7:50 PM
How many minutes are there between 12:03 PM and 9:33 PM?
570
What is 255 minutes before 10:54 PM?
6:39 PM
How many minutes are there between 9:14 AM and 6:44 PM?
570
How many minutes are there between 5:01 AM and 5:21 AM?
20
What is 48 minutes before 4:06 AM?
3:18 AM
How many minutes are there between 1:42 PM and 7:55 PM?
373
What is 429 minutes before 7:23 PM?
12:14 PM
How many minutes are there between 1:02 AM and 12:14 PM?
672
How many minutes are there between 10:50 PM and 3:27 AM?
277
How many minutes are there between 7:13 AM and 10:08 AM?
175
What is 250 minutes before 12:18 AM?
8:08 PM
What is 445 minutes after 4:10 AM?
11:35 AM
What is 715 minutes after 5:43 PM?
5:38 AM
What is 54 minutes after 11:20 PM?
12:14 AM
What is 705 minutes after 4:51 PM?
4:36 AM
How many minutes are there between 8:21 AM and 7:00 PM?
639
How many minutes are there between 2:54 PM and 1:57 AM?
663
How many minutes are there between 1:52 PM and 12:28 AM?
636
What is 568 minutes before 2:53 PM?
5:25 AM
What is 641 minutes after 6:48 AM?
5:29 PM
What is 246 minutes after 9:59 PM?
2:05 AM
What is 266 minutes after 6:12 AM?
10:38 AM
What is 710 minutes after 4:52 AM?
4:42 PM
What is 160 minutes after 7:29 AM?
10:09 AM
How many minutes are there between 7:08 AM and 2:56 PM?
468
How many minutes are there between 11:33 AM and 10:09 PM?
636
What is 181 minutes before 5:35 PM?
2:34 PM
What is 231 minutes after 10:18 AM?
2:09 PM
What is 405 minutes before 9:11 PM?
2:26 PM
What is 236 minutes before 4:43 PM?
12:47 PM
What is 628 minutes after 2:08 PM?
12:36 AM
How many minutes are there between 1:26 AM and 2:25 AM?
59
How many minutes are there between 7:07 PM and 1:41 AM?
394
How many minutes are there between 1:55 PM and 7:13 PM?
318
How many minutes are there between 5:30 PM and 4:22 AM?
652
What is 624 minutes before 9:51 AM?
11:27 PM
What is 576 minutes before 11:07 PM?
1:31 PM
How many minutes are there between 3:50 AM and 9:31 AM?
341
What is 315 minutes before 1:44 PM?
8:29 AM
What is 127 minutes before 6:45 PM?
4:38 PM
How many minutes are there between 12:42 AM and 12:56 AM?
14
What is 685 minutes after 2:26 AM?
1:51 PM
What is 270 minutes before 12:13 AM?
7:43 PM
How many minutes are there between 1:20 PM and 7:13 PM?
353
What is 406 minutes before 12:08 AM?
5:22 PM
How many minutes are there between 1:44 PM and 2:04 PM?
20
What is 682 minutes after 11:20 PM?
10:42 AM
How many minutes are there between 7:47 AM and 9:37 AM?
110
How many minutes are there between 10:04 AM and 8:27 PM?
623
What is 50 minutes after 6:13 PM?
7:03 PM
How many minutes are there between 12:32 PM and 6:00 PM?
328
How many minutes are there between 4:20 AM and 2:31 PM?
611
What is 50 minutes before 3:39 PM?
2:49 PM
What is 432 minutes before 2:14 AM?
7:02 PM
How many minutes are there between 11:22 AM and 3:56 PM?
274
How many minutes are there between 10:12 AM and 9:17 PM?
665
What is 424 minutes before 12:11 AM?
5:07 PM
What is 386 minutes before 8:13 AM?
1:47 AM
How many minutes are there between 2:25 PM and 2:07 AM?
702
How many minutes are there between 7:00 AM and 11:04 AM?
244
How many minutes are there between 7:41 PM and 8:34 PM?
53
How many minutes are there between 5:14 PM and 5:03 AM?
709
What is 535 minutes after 5:59 PM?
2:54 AM
What is 543 minutes after 10:51 PM?
7:54 AM
How many minutes are there between 9:04 PM and 8:06 AM?
662
What is 374 minutes before 5:31 AM?
11:17 PM
What is 255 minutes after 2:33 AM?
6:48 AM
What is 599 minutes after 4:15 PM?
2:14 AM
How many minutes are there between 3:23 AM and 5:07 AM?
104
How many minutes are there between 6:47 AM and 4:57 PM?
610
How many minutes are there between 8:17 AM and 9:49 AM?
92
How many minutes are there between 2:47 PM and 12:42 AM?
595
How many minutes are there between 3:15 PM and 6:21 PM?
186
How many minutes are there between 3:49 PM and 2:30 AM?
641
How many minutes are there between 11:11 PM and 9:35 AM?
624
How many minutes are there between 3:35 AM and 5:25 AM?
110
How many minutes are there between 5:42 PM and 8:35 PM?
173
How many minutes are there between 2:12 PM and 8:38 PM?
386
What is 277 minutes before 11:22 AM?
6:45 AM
How many minutes are there between 3:06 AM and 9:45 AM?
399
How many minutes are there between 7:33 AM and 4:51 PM?
558
How many minutes are there between 7:23 PM and 7:18 AM?
715
What is 249 minutes after 12:01 PM?
4:10 PM
How many minutes are there between 11:42 PM and 10:10 AM?
628
What is 172 minutes before 11:44 PM?
8:52 PM
How many minutes are there between 2:50 PM and 12:39 AM?
589
How many minutes are there between 5:56 PM and 3:40 AM?
584
What is 404 minutes after 2:55 PM?
9:39 PM
How many minutes are there between 2:00 PM and 6:46 PM?
286
What is 453 minutes before 8:55 PM?
1:22 PM
What is 582 minutes before 10:48 PM?
1:06 PM
How many minutes are there between 7:56 PM and 4:09 AM?
493
How many minutes are there between 8:14 PM and 10:38 PM?
144
How many minutes are there between 9:49 PM and 9:36 AM?
707
How many minutes are there between 5:09 PM and 10:02 PM?
293
How many minutes are there between 5:15 AM and 4:37 PM?
682
What is 52 minutes after 10:30 PM?
11:22 PM
How many minutes are there between 9:40 PM and 8:50 AM?
670
What is 688 minutes after 5:52 AM?
5:20 PM
What is 332 minutes after 8:55 AM?
2:27 PM
How many minutes are there between 9:29 PM and 11:37 PM?
128
What is 33 minutes after 6:01 AM?
6:34 AM
What is 457 minutes before 10:37 AM?
3:00 AM
How many minutes are there between 4:41 PM and 9:36 PM?
295
How many minutes are there between 9:21 PM and 9:11 AM?
710
How many minutes are there between 11:50 PM and 7:02 AM?
432
What is 414 minutes before 9:24 AM?
2:30 AM
How many minutes are there between 8:51 AM and 4:17 PM?
446
What is 277 minutes before 1:04 PM?
8:27 AM
How many minutes are there between 1:06 PM and 10:34 PM?
568
What is 504 minutes before 12:29 AM?
4:05 PM
How many minutes are there between 2:14 PM and 4:24 PM?
130
What is 595 minutes before 4:48 AM?
6:53 PM
What is 595 minutes before 7:26 AM?
9:31 PM
What is 528 minutes before 5:02 PM?
8:14 AM
What is 354 minutes after 6:55 AM?
12:49 PM
How many minutes are there between 12:13 AM and 12:53 AM?
40
How many minutes are there between 12:02 PM and 11:22 PM?
680
What is 236 minutes after 7:00 PM?
10:56 PM
How many minutes are there between 2:05 PM and 12:44 AM?
639
How many minutes are there between 3:52 PM and 8:48 PM?
296
How many minutes are there between 5:59 PM and 12:13 AM?
374
How many minutes are there between 4:19 PM and 3:29 AM?
670
How many minutes are there between 8:26 PM and 7:58 AM?
692
How many minutes are there between 1:59 AM and 2:08 AM?
9
What is 51 minutes after 10:50 PM?
11:41 PM
How many minutes are there between 4:04 PM and 6:40 PM?
156
How many minutes are there between 1:48 AM and 8:13 AM?
385
What is 685 minutes after 4:44 PM?
4:09 AM
What is 317 minutes before 8:37 PM?
3:20 PM
How many minutes are there between 6:36 AM and 6:03 PM?
687
How many minutes are there between 9:35 AM and 10:13 AM?
38
How many minutes are there between 3:14 PM and 11:22 PM?
488
How many minutes are there between 5:51 AM and 5:22 PM?
691
What is 514 minutes before 9:53 PM?
1:19 PM
What is 360 minutes before 10:00 AM?
4:00 AM
How many minutes are there between 6:58 PM and 1:12 AM?
374
How many minutes are there between 5:26 PM and 9:41 PM?
255
How many minutes are there between 4:49 AM and 11:37 AM?
408
How many minutes are there between 7:39 PM and 9:42 PM?
123
How many minutes are there between 9:41 AM and 6:06 PM?
505
How many minutes are there between 1:20 PM and 3:49 PM?
149
What is 373 minutes before 12:13 PM?
6:00 AM
How many minutes are there between 11:45 PM and 7:45 AM?
480
What is 584 minutes after 3:03 AM?
12:47 PM
What is 691 minutes after 1:30 PM?
1:01 AM
What is 458 minutes after 7:57 AM?
3:35 PM
What is 332 minutes before 7:06 PM?
1:34 PM
How many minutes are there between 4:12 AM and 3:49 PM?
697
What is 492 minutes after 10:04 AM?
6:16 PM
What is 662 minutes after 6:23 AM?
5:25 PM
What is 209 minutes after 7:39 PM?
11:08 PM
What is 655 minutes before 4:45 AM?
5:50 PM
How many minutes are there between 4:21 PM and 4:03 AM?
702
How many minutes are there be | {
"pile_set_name": "DM Mathematics"
} |
b) -3 (c) -7 (d) -2 (e) -0.9
e
Which is the fifth smallest value? (a) -4 (b) 2.9 (c) -2/15 (d) -0.5 (e) 2/23
b
What is the smallest value in -3, -0.1, 3, -163?
-163
What is the third biggest value in -0.4, -1/4, 0.4, -2/7, 55/13, -0.2?
-0.2
Which is the fourth smallest value? (a) -7.11 (b) 9 (c) -3 (d) -5
b
What is the second biggest value in -3, -0.02, 6, 2?
2
What is the second smallest value in 1/9, -1/4, -2/41, 0.1, 2/21, 77?
-2/41
What is the fourth smallest value in 0.05, -29, 4/3, -3?
4/3
What is the biggest value in -0.061, -0.25, -6?
-0.061
What is the third smallest value in -5, -0.5, -0.251, 0.4, 2?
-0.251
Which is the smallest value? (a) -1 (b) -21 (c) -0.1 (d) 2/47 (e) 6
b
What is the fifth smallest value in 1.5, 0, 3, -1/3, -87?
3
What is the biggest value in 6, -0.04, -4, -14, -3?
6
What is the third biggest value in -0.1, -25, 3, -3?
-3
What is the smallest value in 0, -2/1913, -0.014?
-0.014
What is the third smallest value in 0.2, -4/3, 1102, -2, 4, 1?
0.2
What is the fourth biggest value in 4/9, 3, 4, -72?
-72
Which is the third smallest value? (a) 3 (b) 0.1 (c) 0.3 (d) -0.10287
c
Which is the third smallest value? (a) -3 (b) 29 (c) 1/8 (d) 2/9 (e) 8/5 (f) -1/2
c
Which is the second biggest value? (a) -3 (b) 2/5 (c) -0.1 (d) -2/3 (e) 1.9
b
What is the third biggest value in -0.652, 0, -8?
-8
Which is the sixth biggest value? (a) 0.2 (b) -5 (c) 7.7 (d) 5 (e) 93 (f) 1/4
b
Which is the fourth biggest value? (a) -2/15 (b) 61 (c) -1/2 (d) 1 (e) 9
a
Which is the smallest value? (a) 1 (b) 0 (c) -0.39199
c
Which is the smallest value? (a) 8/15 (b) -2 (c) 315
b
What is the third biggest value in -1.3, -3, 113, -0.03, -4?
-1.3
What is the sixth biggest value in 1/5, -44, 0.4, -1, -4, 0.01?
-44
Which is the second biggest value? (a) 0.326 (b) -5/6 (c) -1 (d) 4/9
a
Which is the biggest value? (a) -2/5 (b) 0.3 (c) 0.5 (d) -37 (e) 4/7
e
What is the biggest value in 3, -785, -450?
3
What is the smallest value in -7/278, 2/3, -34?
-34
Which is the smallest value? (a) -158 (b) -1/5 (c) 104
a
What is the third smallest value in -39, -0.1, 1011/4, -3, -3/2?
-3/2
Which is the third smallest value? (a) -0.023 (b) 2/5 (c) 0.453
c
Which is the biggest value? (a) -0.1 (b) 0.5 (c) 3 (d) -2 (e) 3/5
c
What is the second smallest value in 0.3, -11/1020, -0.5?
-11/1020
What is the third biggest value in 0.04, 178/11, -0.2, -0.1, -3/8?
-0.1
Which is the third smallest value? (a) -7884 (b) 5 (c) 16/9
b
What is the smallest value in 177, -1/13, -19.3?
-19.3
What is the fifth biggest value in -55, 0.4, 0, 2/13, 13, -431?
-55
What is the biggest value in -0.2, -7, -14456, -3/8?
-0.2
What is the fifth smallest value in 903, 0.18, -1/8, 5, -2?
903
What is the smallest value in 0, 1, 2/47023?
0
Which is the second biggest value? (a) -0.05 (b) -2/13 (c) 16.43 (d) 0.5
d
What is the third smallest value in -0.2, 26, -1, 22?
22
What is the second smallest value in 2/457, 13, -10, 0.5?
2/457
Which is the fifth smallest value? (a) -0.4 (b) -292 (c) 3 (d) 0 (e) 1/3
c
What is the second smallest value in -1/3, 22, 7, 3, -132/7, 0.2?
-1/3
Which is the biggest value? (a) 2/9 (b) -1.426 (c) -0.047
a
What is the third biggest value in -0.1157, 2, 5/2, -2?
-0.1157
Which is the third biggest value? (a) 21 (b) 11.5 (c) -0.11
c
Which is the second biggest value? (a) -5.1 (b) -5 (c) -48/323
b
What is the biggest value in 0.3, -2/17447, 2/13?
0.3
What is the second biggest value in 3/5, 1/9, 0, -0.3, -271, 11?
3/5
Which is the second smallest value? (a) -1 (b) -10.7 (c) 72/17
a
What is the third biggest value in -2, -20, 0.6, -1/2, -2/9?
-1/2
What is the second smallest value in 33/5, 0, 1438, 3?
3
What is the biggest value in 2, 10/11, 2/23, 19?
19
Which is the fourth smallest value? (a) 0.5 (b) -0.2 (c) 682 (d) -2 (e) 356
e
Which is the second biggest value? (a) -48 (b) 0.0245 (c) -5 (d) -0.3 (e) 3
b
Which is the fifth smallest value? (a) -3 (b) -0.3 (c) -5 (d) -13 (e) -4/9 (f) 1
b
What is the third biggest value in -7, -5/2, 3/109, 2?
-5/2
What is the third biggest value in -20, 12, 32, -3, 0.1, 3?
3
Which is the fifth biggest value? (a) -12 (b) -0.2 (c) -5 (d) -32 (e) 8
d
Which is the third biggest value? (a) 0.2 (b) 3223 (c) 2/945 (d) -0.5
c
Which is the biggest value? (a) -18 (b) -0.3 (c) -0.23 (d) 46 (e) -0.09
d
Which is the fourth biggest value? (a) 2/19 (b) -3/2 (c) -2 (d) -3/11 (e) -0.1 (f) -3.5
b
What is the sixth biggest value in 0.3, -4, -171, -13, 3, -1?
-171
Which is the biggest value? (a) -7/16 (b) 4 (c) -686 (d) 0
b
Which is the biggest value? (a) -0.25 (b) 1.7 (c) -39/16
b
What is the third biggest value in -0.05, 0.04, -780?
-780
Which is the fourth biggest value? (a) 3 (b) -3 (c) 0.4 (d) 5 (e) 2.8
c
Which is the second biggest value? (a) -2/3 (b) 2415/2 (c) -0.3
c
Which is the second smallest value? (a) -0.6 (b) 8008 (c) 2
c
Which is the fifth biggest value? (a) -0.5 (b) 82 (c) -5 (d) 0.0498 (e) -4
c
What is the third biggest value in -2.09, -2/3, -0.06?
-2.09
Which is the biggest value? (a) 4/7 (b) -13.4 (c) -1.1 (d) 0.1 (e) 1 (f) -0.1
e
Which is the second biggest value? (a) 0.07 (b) 108 (c) -4.9
a
Which is the third biggest value? (a) -15 (b) 1 (c) 0.033 (d) -4 (e) 1/6
c
What is the third biggest value in 4, -0.05, 2, 0.058648?
0.058648
Which is the fourth smallest value? (a) 1/11 (b) 3/4 (c) 4/17 (d) 734
d
What is the fourth biggest value in -8, -0.1, 8, -5/4?
-8
Which is the biggest value? (a) 5/1903 (b) -2/5 (c) -1 (d) 0.2
d
Which is the fourth biggest value? (a) -94 (b) 1 (c) 4 (d) 10.35 (e) -1/8
e
What is the third biggest value in 6, -1, 1/2, 3, 0, 2.1?
2.1
What is the fifth smallest value in 0.2, 0.5, -30, -5, -3107?
0.5
What is the third biggest value in 7/9, -0.5, -0.4, -0.8, 0.1?
-0.4
Which is the second biggest value? (a) 5 (b) -0.1 (c) 52 (d) -4.66
a
Which is the third smallest value? (a) 0.96 (b) 3/7 (c) -3/407 (d) 3/2 (e) -4
b
Which is the fourth smallest value? (a) -5 (b) -2/19 (c) -4 (d) -33/16
b
Which is the second biggest value? (a) 0.1 (b) -1/6 (c) 5 (d) -0.1 (e) -3 (f) -1.33
a
What is the second smallest value in -59/21, -3/4, 7/3, -0.2, 2?
-3/4
What is the third smallest value in 0.3, 2/17, 1.9, -6?
0.3
What is the smallest value in 74, 4, -0.5, 153?
-0.5
Which is the second smallest value? (a) 657/4 (b) 5 (c) 1762 (d) -1
b
What is the fourth biggest value in -0.02, -29, -12, 1?
-29
Which is the second biggest value? (a) 2/9 (b) 4 (c) -2 (d) -0.49
a
What is the third smallest value in -3, -6670, -1, 1/2, -7/8?
-1
What is the third smallest value in -0.7, 16, -1/4, 17, 3/7?
3/7
What is the fourth biggest value in 0.16, 1, 4, -1/10, -0.8?
-1/10
What is the second smallest value in -0.5, 9, -6, 1/252?
-0.5
What is the fourth biggest value in -2/293, 3/11, -2, 7?
-2
What is the third smallest value in -0.2, 6, -3/7, -0.12, 0, -20?
-0.2
Which is the second smallest value? (a) 4 (b) 25 (c) -1054
a
What is the second biggest value in 0.5, -0.024, -0.4, -0.3, -0.083?
-0.024
What is the third biggest value in 112, 4, -2, 0.14, 1?
1
Which is the third biggest value? (a) 93 (b) -9 (c) 1/15 (d) 4
c
What is the third smallest value in 25, -1.1, 15, 0.2?
15
Which is the fifth biggest value? (a) 2/19 (b) 0 (c) -4/7 (d) 125 (e) -2/7 (f) 4
e
What is the biggest value in -5, 0.6, 2.2, 2190?
2190
What is the fourth biggest value in -19, -0.5, 6, 0.03?
-19
What is the third biggest value in -5, 30.7, 2/11, 1/8?
1/8
What is the fifth smallest value in 0.3, 1/10, -1, 39, 2, 4?
4
Which is the second biggest value? (a) -2/13 (b) -476 (c) 3/8 (d) -2/93
d
What is the fourth smallest value in -5, -4/5, 0.2, 256, 93?
93
What is the third biggest value in -129, -10, -0.017?
-129
What is the third smallest value in -2/3, -0.04, -2/55, 2?
-2/55
Which is the biggest value? (a) 35 (b) 0.5 (c) -5 (d) 0.007
a
Which is the third smallest value? (a) 5 (b) -266.23 (c) -2/11
a
What is the third smallest value in -2.5, 2/187, -0.73?
2/187
What is the third biggest value in 11, -3, 0.18, 24, 0.1?
0.18
Which is the third biggest value? (a) 28 ( | {
"pile_set_name": "DM Mathematics"
} |
culate d(a).
-7
Let g = -22 - 1. Let v = g + 11. Let h be (-39)/v - (-2)/(-8). Let z(o) = o**3 - 3*o**2 - 3*o + 2. Calculate z(h).
-7
Let k(s) = -2*s**3 - 7*s**2 - 3*s + 2. Let j(r) = r**3 + 4*r**2 + 2*r - 1. Let o(h) = 5*j(h) + 3*k(h). Let u = -53 + 52. Determine o(u).
0
Let h(w) be the first derivative of -w**4/4 + 7*w**3/3 - 10*w + 11. What is h(7)?
-10
Let t(a) = a**3 + 6*a**2 + 2*a + 6. Suppose 0 = -q - 5*u - 37, -2*u + 5*u + 27 = -q. Let z = 6 + q. Give t(z).
-6
Let s(w) = w**3 - 2*w**2 - 2*w. Suppose 2*y - 6 = -0*y. Determine s(y).
3
Let h(w) = w**3 + 8*w**2 + w + 3. Suppose 3*c - 2*j - j = -27, -2*c - 20 = -4*j. Let d be h(c). Let x(t) = -t**2 - 4*t + 2. Give x(d).
-3
Let c(h) = h**2 - 6*h - 6. Suppose 2*m + m = 18. Let u be c(m). Let y be 1/(-2) - 3/u. Let d(j) = j - 5. What is d(y)?
-5
Let u = 12 - 14. Let b(d) = 3*d - 2. What is b(u)?
-8
Let j = -4 - -8. Suppose 0*d + j*d + 11 = -5*h, -3*h - 4*d = 5. Let s(v) = 4 - 3 - v**2 - 6*v - 3. Give s(h).
7
Suppose -4*o + 28 + 9 = 5*s, -5*o + 40 = 5*s. Let p(t) = -3 + 1 + 2*t**2 + t**3 + 2*t - 5*t**2. Determine p(o).
4
Let p be (-2)/3*(-2)/4. Let j(q) be the first derivative of 1 + q + p*q**3 + 2*q**2. Calculate j(-3).
-2
Suppose 0 = 2*i + 3*r + 3, 1 + 2 = -3*i - 4*r. Let s(o) = 4 + i*o - o**3 + 2*o**3 + o**3 - 3*o**3 + o**2. Determine s(3).
-5
Let g(j) = j**2 - 4*j. Let s = 60 + -56. Give g(s).
0
Let u(l) = 9*l + 6*l**2 + 2 + 2*l - 6*l + l**3. What is u(-5)?
2
Let x(v) = v**2 - 5*v + 4. Let t be 0 + 8 + 6/(-2). Suppose 0 = a + 2*y - 10, -t*y + 7 = -2*a - 0*y. Calculate x(a).
0
Let p be (3/(-9))/((-2)/12). Suppose 4*s + 0*s + k = p, 0 = -4*s - 3*k - 2. Let f(t) = -5*t**2 + 6 - 3*t - t**3 - 4 - s. Calculate f(-4).
-3
Let c(b) = -4*b**2 + b. Let f(l) be the second derivative of l**3/6 + l**2 - 3*l. Let n be f(-1). Calculate c(n).
-3
Let h(f) = 4*f + 1. Let p(j) = -6*j - 1. Let d(q) = -5*h(q) - 4*p(q). Determine d(2).
7
Let d be 36/15*(-25)/(-2). Let g be ((-24)/(-30))/((-4)/d). Let i(f) = -f - 7. Determine i(g).
-1
Let i(g) be the third derivative of -g**5/12 - g**4/24 - g**3/6 + 5*g**2. What is i(-2)?
-19
Let r(m) = -m**2 - 3*m - 3. Suppose k - 2*u - 4 + 0 = 0, -4*u = -k + 4. Suppose -q - 3*h = -3, 0*h = -2*q + k*h - 14. Let j = -1 + q. Give r(j).
-7
Let l(h) = -7*h - 1. Let c(f) = -f + 3. Let a be c(0). Suppose a*y = -0*y - 3. What is l(y)?
6
Let n be (-15)/30*(-12 + 0). Let m(f) = -f**2 + 7*f + 4. Give m(n).
10
Let o(i) be the second derivative of -i**4/12 + 4*i**3/3 - 33*i. Give o(7).
7
Let z(u) = 3*u + 1. Let o = 7 + -7. Suppose 5*w - 8 - 2 = o. Suppose t - w*t - 3*s = -4, 3*t + 2*s = -2. What is z(t)?
-5
Let p = 5/232 + 3/29. Let u(y) be the third derivative of -p*y**4 + 1/6*y**3 + 1/60*y**5 + 0 + y**2 + 0*y. What is u(3)?
1
Let h(r) = r - 2. Let u be (-1 - 0)/(5 - 4). Let l(q) = -5*q - 1. Let i be l(u). Calculate h(i).
2
Let p(l) be the second derivative of 0 + 1/6*l**3 - l**2 - l. Determine p(4).
2
Let o(m) be the first derivative of -5 - m**2 + 0*m + 1/3*m**3. What is o(4)?
8
Let h = 19 + -15. Suppose -4*j = x - 6, 3*j - 13 = -6*x + x. Let c(g) = 0 - 4 + 6 - x*g. Determine c(h).
-6
Let g = 7 - 6. Let y(z) = -8*z**2 + 1. Calculate y(g).
-7
Let k be (1 + -1)/(6 + -8). Let v(g) be the third derivative of g**6/120 - g**5/60 - g**4/24 + g**3/3 + g**2. Determine v(k).
2
Let g(d) = -d**3 - d**2 - d - 3. Let b(h) = h - 4. Let r = 4 + -3. Let t be (0 - -1)*(r + 3). Let m be b(t). Calculate g(m).
-3
Let f(l) = 6*l - 40. Let p be f(7). Let i(w) = -2*w**2 - 3*w - 5. Let b(q) = 5*q**2 + 7*q + 11. Let a(m) = 3*b(m) + 7*i(m). Determine a(p).
2
Let v(n) = -n**2 - 4*n + 2. Suppose 2*x - x - 17 = 5*u, 21 = -3*u - 3*x. What is v(u)?
2
Suppose -v = 4 + 4. Let j = v + 5. Let l = -4 - j. Let b(i) = -11*i**3 - 2*i**2 - i. Give b(l).
10
Let z be 8/28 - (-40)/7. Let m(k) = k**2 - 8*k + 7. Calculate m(z).
-5
Let l be (-4)/(3 + -3 + 2). Let o be (4/l)/(-4)*-6. Let b(s) = -s**3 - s**2 + 3*s - 4. Determine b(o).
5
Let i(s) = 2*s + 2*s**2 - 2*s - 2 - s**2 + s. Suppose 2*z = -3*n + 1, 4*z - n + 0 = -19. Give i(z).
10
Let d(g) = -g + 679 + 3*g - 673. Calculate d(-6).
-6
Let t = -251 + 248. Let y(j) = -4 + 0 + 1 + 4*j + j**2. What is y(t)?
-6
Let m be (2/6)/(1/9). Suppose m*v - 5*g + 5 = 17, 4*v = -g + 16. Let x(z) = z. Let a(i) = i + 7. Let u(p) = a(p) - 2*x(p). Give u(v).
3
Let q(j) be the third derivative of -j**6/120 + j**5/12 - j**4/6 + 2*j**3/3 + 5*j**2. Let a(o) = o**3 - 7*o**2 + 7*o - 2. Let f be a(6). Determine q(f).
4
Let a(k) = k - 1. Suppose -4*i - 19 - 5 = 0. What is a(i)?
-7
Let q(n) = -n**3 + 2*n. Suppose -5*u - 4*g + 5*g - 9 = 0, 5*u - 4*g + 6 = 0. Calculate q(u).
4
Let n(l) = -l**2 + 5*l - 7. Let g be n(3). Let s(d) = -6*d + 1. Calculate s(g).
7
Suppose 3*p = 2*p + 2. Let y(l) = -3*l**2 - 3*l - l**3 - 2*l**p + l - 3. Let t(m) = 3*m - 2. Let o be t(-1). Give y(o).
7
Let s(f) be the first derivative of -f**7/840 - f**6/90 + f**5/40 + f**4/24 + 4*f**3/3 - 4. Let c(g) be the third derivative of s(g). Calculate c(-4).
-11
Let p(z) = -z - 5. Suppose 2*x + 2*x - 3*u + 16 = 0, -3*x - 13 = -2*u. Calculate p(x).
2
Let n(g) = 7*g + 18 - 7*g**2 + g**3 - 12 - 10. Determine n(4).
-24
Let f(d) = 2*d**2 - 12*d + 12. Let u(i) = -i**2 + 5*i - 5. Let z(c) = 5*f(c) + 12*u(c). What is z(1)?
-2
Let p(v) = -4*v**3 + v**2. Let b be p(-1). Let g = 6 + -3. Let t(q) = 5 - 3*q + 0*q**g - 6*q**2 + 3*q**3 + 6*q - 2*q**3. Give t(b).
-5
Let v(f) be the first derivative of -f**4 - 7*f - 2. Let h(k) = -k**3 - k**2 - k - 1. Let w(o) = -3*h(o) + v(o). Determine w(3).
5
Suppose -m = -o - 3, 0 = -2*o + o - 3. Let c(i) be the first derivative of i**2/2 + 7*i + 1. What is c(m)?
7
Let q = -21 + 22. Let x(g) = -3*g - 1. What is x(q)?
-4
Let r(t) = 3*t - t**3 + 0 - 6*t**2 - 2*t + 2. Suppose 3*h + 3 = -3. Let u be 1/h - (-22)/(-4). What is r(u)?
-4
Suppose n + 4 = 2*i, -2*n = 2*i - n - 4. Let w(m) = -m**3 + 2*m + 5*m**2 - 2 + 0*m**3 + 0*m**i. Give w(5).
8
Suppose 0 = -0*d - 2*d. Let c be 0 - ((-8)/(-4) - d). Let r(i) be the third derivative of -i**5/60 + i**4/24 - i**2. Calculate r(c).
-6
Let l(x) = x**3 + 1. Suppose 5*r + 7 = -2*f, 8*r - 4*r + f = -5. Give l(r).
0
Suppose 1 = 4*s - 11. Let k(v) = -s*v - v**3 + v + 1 + 3*v - v**2 + 0*v. Suppose 2*g = -3*g - 5. What is k(g)?
0
Let f(w) = 8*w + w + 8*w + w**2 - 20*w. Calculate f(5).
10
Let l(i) = i**2 - i**2 - 2*i**2 + 4 - 5*i. Let z(c) = 15*c - 64. Let h be z(4). What is l(h)?
-8
Let u(d) be the second derivative of -d**6/720 - d**5/120 - d**4/4 - 2*d. Let h(c) be the third derivative of u(c). Let b = -2 - -4. What is h(b)?
-3
Let n(a) be the third derivative of a**6/720 + a**5/60 - a**4/24 - 2*a**2. Let u(f) be the second derivative of n(f). Let y be (1 + 2)/((-12)/8). What is u(y)?
0
Let b(r) = -r**2 + 5*r - 4. Let u be (4/(-6))/(4/12). Let s be (2/u + 0)*-10. Let n = -5 + s. Give b(n).
-4
Let f(p) = 0*p**3 + p + p**3 + 0*p**3 + p**2 - 1. Suppose 10 = -k - 2. Let v be (8/(-6))/((-8)/k). Calculate f(v).
-7
Let y be (-2)/(-7) + (-4)/14. Suppose y = -5*m + 7 + 8. Let n(k) = 2*k - 1 - 3*k**2 + k**m - 4*k + 3. Determine n(3).
-4
Let p(s) = 5*s + 0*s + 1 - 6*s + 2*s - 6*s. Let x(n) = -n**2 + 4*n + 1. Let q be x(4). Determine p(q).
-4
Let y(v) = 2*v**2 + 1. Let r(a) = a - 3. Let m be r(2). Let l be y(m). Let n(u) = u**3 - 5*u**2 + 3*u + 2. Give n(l).
-7
Let x(u) = -11*u**3 + u**2 + u + 10. Let q(f) = 5*f**3 - f - 5. Let d(s) = 9*q(s) + 4*x(s). What is d(-5)?
-5
Let m(k) be the second derivative of k**6/120 - k**5/20 - k**4/4 + k**3/6 - k**2/2 - 2*k. Let h(v) be the first derivative of m(v). What is h(4)?
-7
Let d(z) be the second derivative of -z**3/6 + 7*z**2 - 8*z. Give d(6).
8
Let u(x) = x**2 + 5*x. Let n be u(-5). Suppose -1 = -5*j + 9. Let v(p) = -p**j + 4 + 5*p - 5*p. Calculate v(n).
4
Let r(p) = -p + 2. Let h(b) = b - 1. Let q(w) = -7*h(w) - 6*r(w). Give q(-6).
1
Suppose 4*t - 18 = -2. Suppose 3 = -c + t. Let l(f) = -9*f**2 - f - 2. Let z(k) = k**2 + 1. Let j(a) = -l(a) - 3*z(a). Calculate j(c).
6
Let f(m) be the first derivative of m**4/4 - 4*m**3/3 - m**2/2 - 4*m + 1. Let l = 5 + -1. Determine f(l).
-8
Let z(u) = 5*u**2 + 3*u + 1. Let c = 183 - 185. What is z(c)?
15
Let z(i) = 2*i**2 + 3*i - 2. Let a be (-4)/8 + (-5)/(-2). Give z(a).
12
Suppose 17 - 2 = -5*d. Let x be 3 - 1 - 0/d. Let w | {
"pile_set_name": "DM Mathematics"
} |
n*q - 1493*n*z**3 - 507*q*z**3 wrt z?
-18*n**2 - 8958*n - 3042*q
What is the second derivative of -64042858*v**3 - 292285*v - 101 wrt v?
-384257148*v
What is the second derivative of -6907*f*v*x**2 + 4904192*f*v + 1802*f*x**2 - 2*f*x + x wrt x?
-13814*f*v + 3604*f
What is the second derivative of 131229437*r**2*s**2 + 8929*r**2*s + 2*s - 1576 wrt s?
262458874*r**2
What is the second derivative of -572460514*a**3 + 508202322*a wrt a?
-3434763084*a
What is the derivative of -8*d**2*p**2 - 32486498*d*h*p + 5190*h*p + h + 99*p**2 + 7 wrt d?
-16*d*p**2 - 32486498*h*p
What is the first derivative of -13*r**3*u - 3*r**3 - 679*r**2*u - 14245*r**2 + 2*r + 2*u + 139 wrt u?
-13*r**3 - 679*r**2 + 2
What is the third derivative of 968500420*x**6 - 650816620*x**2?
116220050400*x**3
What is the third derivative of 107750048*b**3 - 2*b**2 - 2450*b + 15169 wrt b?
646500288
What is the second derivative of -25040053*v**2 - 26*v - 12066 wrt v?
-50080106
What is the first derivative of -36772*l**4 - 3*l**2 + 1185*l + 571642148?
-147088*l**3 - 6*l + 1185
Find the first derivative of -112690733*x**3 - 81817552 wrt x.
-338072199*x**2
Find the third derivative of -2579*q**2*u**3 + 119*q**2*u - q**2 + 381*q*u**3 + 35*q*u**2 + 50*q + 3*u**3 wrt u.
-15474*q**2 + 2286*q + 18
What is the second derivative of -97*q**5 - 61936*q**2 - 51896*q - 253 wrt q?
-1940*q**3 - 123872
Differentiate -356049*i**3*m**3 + 4044*i**3 + 3*i**2 + 2*i - 12*m**3 - 24 wrt m.
-1068147*i**3*m**2 - 36*m**2
Find the second derivative of -c**4 - 15181514*c**3*p**3 + 59*c*p**3 + 17*c*p**2 - 752*p**3 - 1 wrt c.
-12*c**2 - 91089084*c*p**3
Find the second derivative of -64*q**3*z**2 - 28712*q**3*z - 32*q**3 + 9*q**2*z + 1450126*z**2 wrt z.
-128*q**3 + 2900252
Find the first derivative of t**2 + 172137*t - 3749215 wrt t.
2*t + 172137
What is the third derivative of 2*n*y**4 - 3534274*n*y**3 - 1625*n*y**2 - n*y - 9*n + 3*y + 5 wrt y?
48*n*y - 21205644*n
Find the second derivative of -2224*r**4 + 193*r**2 + 15855*r + 58.
-26688*r**2 + 386
Find the first derivative of 7*b**3*g + 25134*b**3 - 50*b**2*g - 16*b*g + 628*b - 445*g wrt g.
7*b**3 - 50*b**2 - 16*b - 445
Find the third derivative of 15*c**4 + 408580*c**3*t - 17*c**2*t + 7*c**2 + 6*c*t + 2*c + 11*t - 3 wrt c.
360*c + 2451480*t
Find the third derivative of k**5 - 3*k**4 + 147873*k**3 - 13868*k**2 - 5*k - 18.
60*k**2 - 72*k + 887238
What is the third derivative of 2*k**5 - 7394*k**4 - 6*k**3 - 235596*k**2 + 2*k - 1?
120*k**2 - 177456*k - 36
Differentiate 46*b*d*z**3 - b*d*z + 8*b*d - 78393*b*z + 12*b - 33536*d with respect to z.
138*b*d*z**2 - b*d - 78393*b
What is the third derivative of 12071013*z**4 + 266686*z**2 - 2 wrt z?
289704312*z
What is the first derivative of 19453*h**3 - 414*h**2 - h - 259556751 wrt h?
58359*h**2 - 828*h - 1
What is the third derivative of -39249581*g**5 - 24*g**2 + 2*g - 1521650 wrt g?
-2354974860*g**2
What is the second derivative of -45515781*b**2*p + 251810*b - 9*p wrt b?
-91031562*p
What is the second derivative of 22299853*b**4*j**2*y + 2*b*j**2*y + 1322*b*j**2 + 2*b*j - 310*b*y wrt b?
267598236*b**2*j**2*y
What is the third derivative of -5201850*u**3 - 33221192*u**2 wrt u?
-31211100
Find the third derivative of -12810879*t**6 + 870*t**2 - 110*t + 5.
-1537305480*t**3
What is the third derivative of 28433748*j**3*o**2 + 190*j**2*o**2 + 1231*j**2*o - j**2 - j wrt j?
170602488*o**2
Find the third derivative of -8*v**4 - 520592*v**3 + 8491999*v**2.
-192*v - 3123552
What is the first derivative of 22228*h*q**3*v + 2*h*q*v + h + 17970006*q**3 - 2*v wrt h?
22228*q**3*v + 2*q*v + 1
What is the third derivative of 2*c**4 - 80265885*c**3*z**3 - 11578*c**2*z - 6*c**2 + 2*c*z**2 + 154*z**3 + z**2 wrt c?
48*c - 481595310*z**3
What is the derivative of -3670*d**2 - 5036*d + 79625725?
-7340*d - 5036
Find the second derivative of 33*a*b*o**5 + a*b + 616*a - 3759071*b*o**4 + 5977*b*o wrt o.
660*a*b*o**3 - 45108852*b*o**2
Find the third derivative of 2164242*x**4 + 1241*x**2 - 2874*x.
51941808*x
Differentiate 127279666*x**2 - 154920276 wrt x.
254559332*x
Find the third derivative of 408556169*o**3 + 449*o**2 + 216828 wrt o.
2451337014
Find the second derivative of -8*j**5 + 2556547*j**4 + 71214902*j wrt j.
-160*j**3 + 30678564*j**2
Differentiate 6847068*j + 5823686 wrt j.
6847068
What is the second derivative of 6681*f**3*y**2 - 148*f**3*y - 697*f**2*y + 9*f*y**2 - y**2 - 3*y wrt y?
13362*f**3 + 18*f - 2
Find the second derivative of 271345288*b*j**2*v**2 + 23*b*j*v**2 + 21*b + 3201*j + 52*v**2 wrt j.
542690576*b*v**2
Find the third derivative of 1329991*g**4*v - g**2 + 1539602*g*v wrt g.
31919784*g*v
Find the first derivative of -28570445*j*o**3 + j*o**2 + 1931*o**3 - 10*o**2 + 3*o - 12 wrt j.
-28570445*o**3 + o**2
What is the derivative of 153868221*o - 183858550?
153868221
What is the third derivative of -2*x*y**3 + 6*x*y**2 - 1938*x*y + x + 1118189*y**3 - y**2 - 2 wrt y?
-12*x + 6709134
Find the third derivative of -6432113*d**3*p**4 + d**3*p - 13*d**2*p**4 + 24046*d**2*p**2 - 26*p wrt p.
-154370712*d**3*p - 312*d**2*p
What is the second derivative of 14*i**5 + 14179203*i**4 + i + 718015622?
280*i**3 + 170150436*i**2
Find the second derivative of 549142865*y**2 - 2*y + 115463580.
1098285730
What is the third derivative of -342928433*i**5 - 33*i**2 - 1318415*i wrt i?
-20575705980*i**2
Find the second derivative of -17807189*x**2 + 40*x - 56512.
-35614378
Find the third derivative of 1005901806*m**4 - 2130*m**2 + 5081*m + 1 wrt m.
24141643344*m
What is the second derivative of -6087986*y**2 - 2*y - 2628488?
-12175972
Find the second derivative of -796332629*w**4 + 333718055*w wrt w.
-9555991548*w**2
Find the second derivative of 15574*b**3*y + 5134*b**2*y**3 + 2*b*y**3 - 107*b*y**2 + 49937*b - 2*y**3 + 1 wrt b.
93444*b*y + 10268*y**3
What is the third derivative of -44260*h**2*q**3*u**2 - 284*h**2*q**3 + 4*h**2*q**2 + 4*h**2*u + 2*h*q*u**2 + 60273*q**2*u + u**2 wrt q?
-265560*h**2*u**2 - 1704*h**2
Find the first derivative of -55512502*g**3 + 18291150.
-166537506*g**2
Differentiate -2*m**3*r**2 + m**3 - 1048*m**2 - m*r**2 + 6*m - 548039*r**2 - 159 with respect to r.
-4*m**3*r - 2*m*r - 1096078*r
Find the third derivative of 3*q**4 - 54562548*q**3 + 15*q**2 + q + 62257.
72*q - 327375288
Find the second derivative of 8283797*g**3 - g**2 + 41852280*g.
49702782*g - 2
Differentiate -286124*r**4 + 3*r**2 + 7*r + 5393288 with respect to r.
-1144496*r**3 + 6*r + 7
Find the second derivative of 2*o**2*w*z - 865076*o**2*w - o**2*z - 19*o**2 - 8*o*w - 1764361*o - 6*w*z + 2*z wrt o.
4*w*z - 1730152*w - 2*z - 38
What is the third derivative of 23961214*v**3 - 402753*v**2 - 12 wrt v?
143767284
Find the first derivative of -f**3*l**3 + 8*f*l**3 - 309327*f - 62*l**3 - 302270 wrt f.
-3*f**2*l**3 + 8*l**3 - 309327
Differentiate 38113249*n*z**3 + 8*z**3 - 118*z**2 - 2145*z + 2 wrt n.
38113249*z**3
What is the third derivative of -1058911300*k**6 - 442656*k**2 + 4*k - 1?
-127069356000*k**3
Find the second derivative of 313700701*t**3 - 23*t - 1696224 wrt t.
1882204206*t
What is the third derivative of -2236*l**5 - 2468*l**4 + 18312276*l**2?
-134160*l**2 - 59232*l
What is the second derivative of -4*v**3 - 2020105*v**2 + 5405568*v - 2?
-24*v - 4040210
What is the third derivative of -108*t**6 - 2*t**4 - 10343*t**3 + 4895329*t**2 wrt t?
-12960*t**3 - 48*t - 62058
Differentiate 5508590*j - 4175880 with respect to j.
5508590
Find the third derivative of 2*i**3*z**3 - 3*i**3*z - 22446*i**3 + 13*i**2*z**3 - 962*i*z**3 + z**3 - z**2 wrt z.
12*i**3 + 78*i**2 - 5772*i + 6
Find the second derivative of -470319333*o**2 + 629684571*o.
-940638666
Find the first derivative of 137*q**3 + 6238*q + 662382366 wrt q.
411*q**2 + 6238
What is the second derivative of -1141*i*s**5 - 538*i*s**4 + i*s + 19808042*i wrt s?
-22820*i*s**3 - 6456*i*s**2
Find the second derivative of -2168031*q**2 + 283267*q.
-4336062
Find the second derivative of -3*r*v**2 - 3642*r*v - 2*r + 107613269*v**5 + 9*v + 1 wrt v.
-6*r + 2152265380*v**3
What is the second derivative of -2332046*i**2 - 8904938*i?
-4664092
What is the third derivative of -260958015*f**2*w**5 + 2*f**2*w**2 - 10506*f**2*w - 4*f*w**2 + 2*w**2 + 10*w + 4 wrt w?
-15657480900*f**2*w**2
What is the derivative of -11679434*f**3 | {
"pile_set_name": "DM Mathematics"
} |
ainder when 262 is divided by s?
42
Suppose -32*y - w - 355 = -34*y, 6*y - 1066 = 4*w. Calculate the remainder when 1768 is divided by y.
175
Suppose 0 = 3*z + 5*h - 100, -121*h + 120*h = -z + 44. Calculate the remainder when 1754 is divided by z.
34
Suppose 2*l + 7*l = 3087. Suppose 0 = 11*g - 108 - l. What is the remainder when g is divided by 9?
5
Let a = -16 + 37. Let n(s) = -4*s + 38. Let t be n(9). Suppose -f - t*f + a = 0. What is the remainder when f is divided by 6?
1
Suppose -2*z - 10 = 0, z + 86 - 51 = 3*q. What is the remainder when 67 is divided by q?
7
Let a = 70 - 59. Let j(h) = 2*h**3 - 3*h**2 + h - 2. Let c be j(2). Let n(t) = 2*t**2 + t + 3. What is the remainder when n(c) is divided by a?
6
Suppose -t + 5 = -5*u, -4*t = -3*u - 7 + 21. What is the remainder when 265 is divided by u/(-4)*(19 - 25) - -73?
55
Suppose 64 + 79 = -k. What is the remainder when 3/(-6)*(k - -21) is divided by 9?
7
Calculate the remainder when 145 is divided by (8/12)/((-2)/3) - -58.
31
Let c(w) be the second derivative of w**3/3 + 311*w**2/2 - 129*w. Calculate the remainder when c(-17) is divided by 35.
32
Let o = -10464 - -10813. What is the remainder when o is divided by 25?
24
Suppose -4*z - 2936 = -4*k + 30912, -4*k + 33864 = -2*z. Calculate the remainder when k is divided by 24.
22
Let z(o) = 26*o - 92. Let h be z(4). Suppose -3*f = -u - 11, 0*f + 2*f + 4*u = h. Calculate the remainder when 13 is divided by f.
1
Suppose 2 = 2*m + 4*r - 8, 4*r = -4*m + 28. Let c = -119 - -104. Calculate the remainder when 1*4/30 + (-328)/c is divided by m.
4
Let z = -3 + 5. Suppose m - z*m + 118 = 2*d, 4*d + m = 238. Let v(h) = h**3 + 6*h**2 + 5*h + 9. Calculate the remainder when d is divided by v(-4).
18
Suppose 17*h + 84 = 21*h + 4*u, -6*h + 3*u = -117. Calculate the remainder when 58 is divided by h.
18
Suppose -a = -4*a + 615. Suppose a = 3*f + 2*f. Let j = -186 - -197. Calculate the remainder when f is divided by j.
8
Let g = 59 + 1. What is the remainder when 149 is divided by (-12)/g - (-258)/15?
13
Suppose 40 = -5*c + 15*c. Suppose -c = -g - k + 2*k, 4*g + 2*k = 16. Suppose -13*v + g = -22. What is the remainder when 2 is divided by v?
0
Let v(g) = 6*g**2 + g + 34. Let b be v(-6). Let a = b + -220. Calculate the remainder when 354 is divided by a.
18
Let d(o) = -o**2 - 13*o - 19. Let i be d(-11). Let r(l) = -l**3 + 5*l**2 - 9*l + 20. Calculate the remainder when 52 is divided by r(i).
8
Let c = -408 - -414. Calculate the remainder when 192 is divided by ((-177)/(-3))/(c/6).
15
Suppose q + 5*s - 90 = 0, 128 = -3*q + 5*s + 498. What is the remainder when 466 is divided by q?
6
Let w = 278 + 165. What is the remainder when w is divided by 90?
83
Let u = 131 - 81. Suppose u = 7*j - 34. What is the remainder when 12 + 1 - (-14)/7 is divided by j?
3
What is the remainder when -4 + 220/56 + (-420442)/(-308) is divided by 78?
39
Suppose -4*h - 2*i + 488 = 2*i, -493 = -4*h - 5*i. Suppose 0 = 5*b - 5*n - 0*n - 115, 5*n = 2*b - 43. Calculate the remainder when h is divided by b.
21
Let c(q) = -q**3 - 20*q**2 - 18*q + 25. Let w be c(-19). Suppose -w*g + 33*g = 1188. Suppose -2 = k - 10. What is the remainder when g is divided by k?
4
Let k(a) be the first derivative of -5*a**3/3 + 25*a**2/2 + 5*a + 85. Calculate the remainder when 28 is divided by k(5).
3
Suppose 2*b = -b + 291. Let p be (-5125)/(-55) + (-26)/22 + 1. Suppose -2*h + 0*h - 4 = 0, 3*h = -3*x + p. What is the remainder when b is divided by x?
31
Let b = -35465 - -35670. Calculate the remainder when 1825 is divided by b.
185
Suppose 356 = 5*d + 346. Calculate the remainder when 501 is divided by 4/(-8) + d - (-1320)/16.
81
Let h be 3*(-20)/(-12) - (0 + 4). Calculate the remainder when ((-6)/(-12))/(h/98) is divided by 27.
22
Suppose 6*h = 4*h + 3*g + 286, -5*h - 5*g = -665. Let y = h - 121. What is the remainder when 172 is divided by y?
12
Suppose -5*s = -6*k + 7*k - 76, s = 5*k - 302. Suppose a - 132 = 109. Calculate the remainder when a is divided by k.
58
Let r(x) = x**3 - 24*x**2 - 76*x - 87. Let t(j) = j**2 + j + 3. Calculate the remainder when r(27) is divided by t(2).
3
Let o(z) = z**2 + 2*z - 6. Let f be o(-5). Suppose -254 + 728 = 6*j. What is the remainder when j is divided by (f + -3)*3 - 2?
15
Let l(m) = 92*m + 4640. Suppose -u + 5*x + 282 = x, -4*u = -2*x - 1114. Calculate the remainder when u is divided by l(-50).
38
Suppose 6*j - 4*j = l + 133, j = l + 67. Calculate the remainder when 733 is divided by j.
7
Suppose 54 = l + 5*w, -2*l - 3*w - 2*w = -83. Suppose -2*q + 13 = l. Let k = q - -15. Calculate the remainder when 38 is divided by k.
3
Suppose 0 = -10*g + 38 - 8. Suppose 6 + g = 3*c + 3*n, 4*n = -16. Suppose -26 = -q + 5*f, c*f - 4*f - 58 = -4*q. What is the remainder when q is divided by 5?
1
Let i = -302 + 735. Let d = -356 + i. What is the remainder when d is divided by 60?
17
Suppose -32 + 158 = -6*m. Let z = -19 - m. Suppose n - y = 20, -5*n = -2*n - z*y - 55. Calculate the remainder when n is divided by 11.
4
Let z = -17685 - -17718. Let h(f) = f + 7. Let m be h(0). Suppose 803 = 4*k - 3*u, -m*k + 2*k - 4*u = -965. Calculate the remainder when k is divided by z.
32
Suppose 1318 + 42347 = 71*y. Calculate the remainder when y is divided by 206.
203
Let i = 21683 + -4136. Calculate the remainder when i is divided by 27.
24
Suppose 0 = -5*b - 3*p + 276, -3*b + 3*p = -32 - 148. Let l = -819 - -1387. What is the remainder when l is divided by b?
55
Suppose 6 = 2*w - z - 0, 4*z - 28 = -5*w. Let f = 32 + 26. Suppose -65 = -4*p - h, 19 - f = -3*p - 4*h. What is the remainder when p is divided by w?
1
Let i(k) = -3*k + 257. Let g be i(6). Let c = -162 + g. What is the remainder when 379 is divided by c?
71
Let p(x) = -15*x - 1. Suppose -4*r = -4 + 8. Suppose 0 = -3*u + 3*s + 24, 6*u = 3*u + 4*s + 28. What is the remainder when p(r) is divided by u?
2
Let w = 22100 + -21837. What is the remainder when w is divided by 10?
3
Let j(s) = 42*s + 2252. Calculate the remainder when 1285 is divided by j(-53).
11
Suppose -3*t + 5*c + 108 = 0, -4*t - c + 111 = -33. Let k = 46 + 25. What is the remainder when k is divided by 10/5 - (1 - t)?
34
Suppose -12*r - 108*r = -27120. Calculate the remainder when 900 is divided by r.
222
Suppose 5*l + 6 = 3*u, 0 = -2*l + 5*l. Suppose -81 = -u*f + 71. What is the remainder when f is divided by 39?
37
Suppose 496*m - 1102 + 435 = 473*m. Calculate the remainder when 555 is divided by m.
4
Let r = 2877 - 2818. Calculate the remainder when r is divided by 23.
13
Suppose 31*i + 958 = 2074. Calculate the remainder when 10834 is divided by i.
34
Suppose 40*d + 4515 - 4710 = 7485. Suppose -2*m - 23 = -o, 5*o - 2*m - 87 = m. What is the remainder when d is divided by o?
12
Let y = -21723 - -21888. What is the remainder when 1000 is divided by y?
10
Let s(f) = f**2 - 99*f + 740. Calculate the remainder when 249 is divided by s(8).
9
Let a(l) = -476*l + 7670. What is the remainder when 19274 is divided by a(16)?
50
Suppose -l - 5*f - 12 = -323, 4*l - 1175 = 3*f. What is the remainder when l is divided by 7?
2
Suppose 163 + 76 - 35 = 4*t. Calculate the remainder when 70 is divided by t.
19
Suppose y = v - 38 + 24, 3*v = 5*y + 48. Calculate the remainder when 193 is divided by v.
6
Suppose -17*x = -14*x - 15. Suppose -x*q - 5*t = -3 - 2, 3*q - 5*t - 43 = 0. What is the remainder when ((30 - 2)/(-2))/((-2)/q) is divided by 11?
9
Suppose 574 = -14*r + 1680. Suppose 6*l = -r - 65. Calculate the remainder when (l + 1)/(15/(-3) + 4) is divided by 6.
5
Let w = 110 + -73. Suppose g - 80 = -3*g. Calculate the remainder when w is divided by ((-2)/4)/((-5 + 0)/g).
1
Let n = 1984 + -1907. What is the remainder when 221 is divided by n?
67
Let k = 349 - 346. Suppose -4*j + 12 = 0, -k*j = 5*h - 947 - 1617. Calculate the remainder when h is divided by 64.
63
Let k = -40 - -46. Let q be (-2)/k + (-12)/(-9) - 1. Suppose q = -4*d - 3*g + 128, -3*d + 66 = 2*g - 30. Calculate the remainder when d is divided by 5.
2
Suppose 5*c + 5*d = 3450, -c + 38*d - 37*d = -694. Calculate the remainder when c is divided by 24.
20
Let t = 289 + -288. Suppose s = -w + 13, 7 = -2*w - t. What is the remainder when s is divided by 4?
1
Calculate the remainder when 10413/267 - (-1 - (-1 + -1)) is divided | {
"pile_set_name": "DM Mathematics"
} |
/9 - 1040*y/9 - 1028/3 = 0.
-257, -3
Suppose 3*z**2 - 18*z + 15 = 0. What is z?
1, 5
Factor y**2 - 19*y + 18.
(y - 18)*(y - 1)
Factor 2*j**4/11 - 50*j**3/11 + 432*j**2/11 - 128*j + 1024/11.
2*(j - 8)**3*(j - 1)/11
Determine p so that -175*p**4 + 185*p**3 + 1390*p**2 - 2180*p + 120 = 0.
-3, 2/35, 2
Find z such that -15*z**5 + 295*z**4 + 6005*z**3 + 20125*z**2 - 16170*z = 0.
-7, 0, 2/3, 33
Factor n**3 + 121*n**2/2 - 125*n.
n*(n - 2)*(2*n + 125)/2
Suppose -2*n**2/5 - 2*n - 12/5 = 0. What is n?
-3, -2
Find b such that -2*b**5/7 + 10*b**4/7 + 6*b**3 - 226*b**2/7 + 296*b/7 - 120/7 = 0.
-5, 1, 2, 6
Factor 4*z**4 - 3048*z**3 - 12*z**2 + 9152*z - 6096.
4*(z - 762)*(z - 1)**2*(z + 2)
Factor -2*z**2 - 14*z + 36.
-2*(z - 2)*(z + 9)
Suppose -d**4/5 + 35*d**3 - 688*d**2/5 + 684*d/5 = 0. Calculate d.
0, 2, 171
Solve -b**2/3 + 102*b = 0.
0, 306
Factor 4*n**2/3 + 128*n/3 + 124/3.
4*(n + 1)*(n + 31)/3
Factor s**2/2 - 55*s.
s*(s - 110)/2
Solve 7*v**4/2 + 23*v**3/2 - 11*v**2 - 4*v = 0 for v.
-4, -2/7, 0, 1
Factor 4*z**3 + 744*z**2 + 46128*z + 953312.
4*(z + 62)**3
Determine l, given that 2*l**4/3 + 4*l**3/3 - 2*l**2/3 - 4*l/3 = 0.
-2, -1, 0, 1
Suppose -28*k**5 + 36*k**4 + 48*k**3 - 16*k**2 = 0. Calculate k.
-1, 0, 2/7, 2
Factor -4*f**5 - 28*f**4 + 120*f**3.
-4*f**3*(f - 3)*(f + 10)
Factor -6*v**3 + 9*v**2 + 6*v.
-3*v*(v - 2)*(2*v + 1)
Determine i so that i**3 - 15*i**2 + 63*i - 81 = 0.
3, 9
Suppose 4*i**2 - 140*i - 8184 = 0. Calculate i.
-31, 66
Factor -9*x**2 + 3243*x + 2166.
-3*(x - 361)*(3*x + 2)
Solve 4*x**2 - 76*x + 72 = 0 for x.
1, 18
Factor 2*u**3/7 + 6*u**2 + 78*u/7 + 38/7.
2*(u + 1)**2*(u + 19)/7
Solve -2*j**5/3 + 485*j**4/6 + 371*j**3/6 - 607*j**2/6 - 367*j/6 + 61/3 = 0 for j.
-1, 1/4, 1, 122
Suppose 9*o**5 + 57*o**4 - 54*o**3 - 78*o**2 + 45*o + 21 = 0. What is o?
-7, -1, -1/3, 1
Factor 3*o**2 - 48*o - 315.
3*(o - 21)*(o + 5)
Factor u**2/3 - 8*u/3 - 11.
(u - 11)*(u + 3)/3
Factor 3*q**3 + 547*q**2 - 2050*q - 744.
(q - 4)*(q + 186)*(3*q + 1)
Factor -3*z**4 + 108*z**3 - 207*z**2 + 102*z.
-3*z*(z - 34)*(z - 1)**2
Let -961*d**3 - 589*d**2 + 336*d - 36 = 0. What is d?
-1, 6/31
Solve 12*q**5 + 3*q**4 - 81*q**3 + 54*q**2 = 0.
-3, 0, 3/4, 2
What is o in 2*o**2/5 + 12*o/5 - 144/5 = 0?
-12, 6
Factor 2*s**2/3 + 8*s/3 - 14.
2*(s - 3)*(s + 7)/3
Solve 6*z**2/7 - 1086*z/7 + 1080/7 = 0 for z.
1, 180
Determine z, given that -5*z**2 + 460*z = 0.
0, 92
Find c such that 3*c**5/5 + 6*c**4 + 96*c**3/5 + 96*c**2/5 = 0.
-4, -2, 0
Determine b so that 3*b**4/7 - 222*b**3/7 + 5619*b**2/7 - 7992*b + 27216 = 0.
9, 28
Factor -2*a**3/11 - 140*a**2/11 - 536*a/11 - 48.
-2*(a + 2)**2*(a + 66)/11
Solve -3*r**3 + 531*r**2 - 4077*r + 3549 = 0.
1, 7, 169
Factor -2*z**2 - 142*z + 924.
-2*(z - 6)*(z + 77)
Let g**3/3 + 8*g**2/3 - 19*g/3 + 10/3 = 0. Calculate g.
-10, 1
Factor 18*q**4/13 + 56*q**3/13.
2*q**3*(9*q + 28)/13
Find b, given that -3*b**2 - 84*b - 480 = 0.
-20, -8
Find t such that -2*t**4/7 + 20*t**3/7 + 102*t**2/7 + 136*t/7 + 8 = 0.
-2, -1, 14
Find m such that 4*m**2 - 20*m + 24 = 0.
2, 3
What is t in 14*t**4/13 + 54*t**3/13 - 124*t**2/13 - 216*t/13 + 272/13 = 0?
-34/7, -2, 1, 2
Factor f**2/6 + 25*f/6 + 50/3.
(f + 5)*(f + 20)/6
Factor 4*l**2 + 232*l - 236.
4*(l - 1)*(l + 59)
Factor -2*c**4/9 - 10*c**3/3 - 14*c**2 - 98*c/9.
-2*c*(c + 1)*(c + 7)**2/9
Factor 4*i**3 - 176*i**2 - 752*i - 768.
4*(i - 48)*(i + 2)**2
Let 3*q**4 - 138*q**3 + 1839*q**2 - 5796*q + 5292 = 0. Calculate q.
2, 21
Factor 3*v**3/8 - 207*v**2/4 + 102*v.
3*v*(v - 136)*(v - 2)/8
Factor -4*i**3 + 2532*i**2 - 401952*i + 399424.
-4*(i - 316)**2*(i - 1)
Factor 3*z**4 + 14*z**3 - 5*z**2.
z**2*(z + 5)*(3*z - 1)
Find o, given that -3*o**5/4 + 9*o**4 - 51*o**3/4 - 51*o**2/2 + 27*o + 30 = 0.
-1, 2, 10
Factor -w**4 + 55*w**3 - 879*w**2 + 3325*w - 2500.
-(w - 25)**2*(w - 4)*(w - 1)
Find k, given that -k**4/2 - 11*k**3/2 - 35*k**2/2 - 25*k/2 = 0.
-5, -1, 0
Factor 2*m**5/7 - 12*m**4/7 + 26*m**3/7 - 24*m**2/7 + 8*m/7.
2*m*(m - 2)**2*(m - 1)**2/7
Suppose 4*l**4 + 112*l**3 + 784*l**2 = 0. Calculate l.
-14, 0
Solve -8*s**3/3 + 47*s**2/3 + 2*s = 0.
-1/8, 0, 6
Let 2*l**2/7 + 2*l/7 - 12/7 = 0. Calculate l.
-3, 2
Determine b, given that -4*b**4/3 + 64*b**3/3 - 68*b**2 - 192*b + 720 = 0.
-3, 3, 6, 10
Find s, given that 10*s**5/3 - 12*s**4 + 14*s**3/3 + 52*s**2/3 - 8*s - 16/3 = 0.
-1, -2/5, 1, 2
Factor 5*q**3 - 2*q**2 - 5*q + 2.
(q - 1)*(q + 1)*(5*q - 2)
Suppose -2*w**5 + 24*w**4 + 2*w**3 - 24*w**2 = 0. What is w?
-1, 0, 1, 12
Solve -2*l**4/5 - 4*l**3 - 14*l**2 - 20*l - 48/5 = 0 for l.
-4, -3, -2, -1
Determine r so that -4*r**3 + 40*r**2 + 148*r + 104 = 0.
-2, -1, 13
Factor -3*l**4/7 + 1506*l**3/7 - 189003*l**2/7.
-3*l**2*(l - 251)**2/7
Determine v so that -2*v**5/9 - 46*v**4/9 - 380*v**3/9 - 1316*v**2/9 - 1666*v/9 - 686/9 = 0.
-7, -1
Solve 3*l**5/2 + 27*l**4/2 - 3*l**3/2 - 351*l**2/2 + 162 = 0.
-6, -1, 1, 3
Factor w**5 - 4*w**4 + 3*w**3 + 4*w**2 - 4*w.
w*(w - 2)**2*(w - 1)*(w + 1)
Determine v so that -2*v**2 + 194*v/9 + 44/9 = 0.
-2/9, 11
Find w, given that w**2/9 + 61*w/3 - 184/9 = 0.
-184, 1
Factor -u**4/3 - 5*u**3 - 26*u**2 - 160*u/3 - 32.
-(u + 1)*(u + 4)**2*(u + 6)/3
Factor 6*u**3/11 - 30*u**2/11 - 150*u/11 + 750/11.
6*(u - 5)**2*(u + 5)/11
Factor 2*u**5/9 + 92*u**4/9 - 832*u**3/9 + 192*u**2.
2*u**2*(u - 4)**2*(u + 54)/9
Factor 2*x**5 + 12*x**4 - 6*x**3 - 32*x**2 + 24*x.
2*x*(x - 1)**2*(x + 2)*(x + 6)
Determine d so that -88*d**4 - 10*d**3 + 56*d**2/11 + 8*d/11 = 0.
-2/11, 0, 1/4
Suppose -4*r**2 - 720*r - 32400 = 0. Calculate r.
-90
Factor -b**5/8 - 7*b**4/4 - 67*b**3/8 - 73*b**2/4 - 37*b/2 - 7.
-(b + 1)*(b + 2)**3*(b + 7)/8
Suppose -p**2 + 33*p - 266 = 0. What is p?
14, 19
Solve 3*x**4/5 + 234*x**3/5 + 912*x**2 - 234*x/5 - 4563/5 = 0.
-39, -1, 1
Factor 6*a**3/11 - 24*a**2/11 - 24*a/11 + 96/11.
6*(a - 4)*(a - 2)*(a + 2)/11
Suppose 3*v**3 - 24*v**2 + 51*v - 30 = 0. Calculate v.
1, 2, 5
Determine v, given that -v**3/2 + 7*v**2/2 + 3*v - 36 = 0.
-3, 4, 6
Factor 2*w**3 + 48*w**2 + 288*w.
2*w*(w + 12)**2
Let d**5/6 - 7*d**4/3 + 7*d**3/3 + 118*d**2/3 + 123*d/2 + 27 = 0. Calculate d.
-2, -1, 9
Factor 2*j**3 - 80*j**2 + 800*j.
2*j*(j - 20)**2
Find r such that r**5/8 + 3*r**4/8 - 5*r**3/4 - 13*r**2/2 - 9*r - 4 = 0.
-2, -1, 4
Let 9*h**5/8 + 3*h**4/8 - 117*h**3/4 - 39*h**2/4 + 225*h/8 + 75/8 = 0. What is h?
-5, -1, -1/3, 1, 5
Factor -2*f**2/3 - 244*f/3 - 7442/3.
-2*(f + 61)**2/3
Determine r, given that 5*r**2 + 12470*r + 7775045 = 0.
-1247
Factor -4*p**3 + 136*p**2 - 1476*p + 5184.
-4*(p - 16)*(p - 9)**2
What is m in 6*m**5 - 8*m**4 - 328*m**3 - 748*m**2 - 254*m + 180 = 0?
-5, -2, -1, 1/3, 9
Solve -75*n**5 + 14345*n**4 - 680653*n**3 - 504385*n**2 - 119616*n - 9216 = 0 for n.
-1/3, -1/5, 96
Factor 2*u**4/5 + 12*u**3/5 - 16*u**2/5 - 192*u/5 - 256/5.
2*(u - 4)*(u + 2)*(u + 4)**2/5
Factor q**4/5 + 8*q**3/5 + 24*q**2/5 + 32*q/5 + 16/5.
(q + 2)**4/5
Factor 5*x**5 - 47*x**4 + 118*x**3 - 40*x**2.
x**2*(x - 5)*(x - 4)*(5*x - 2)
Factor -7*s**2/2 + 50*s - 14.
-(s - 14)*(7*s - 2)/2
Solve n**5/3 + 14*n**4/3 - 2*n**3 - 76*n**2/3 + 109*n/3 - 14 = 0 for n.
-14, -3, 1
Factor -d**3/6.
-d**3/6
Factor -3*z**2 + 46*z + 32.
-(z - 16)*(3*z + 2)
Solve 7*x**2 - 2700*x - 772 = 0.
-2/7, 386
Determine u, given that 5*u**5 + 40*u**4 + 110*u**3 + 120*u**2 + 45*u = 0.
-3, -1, 0
Factor -4*b**2 - 24*b.
-4*b*(b + 6)
Suppose -v**2/4 - 251*v/4 - 249/2 = 0. What is v?
-249, -2
Let -3*y**5 - 21*y**4 - 42*y**3 - 24*y**2 = 0. What is y?
-4, -2, -1, 0
Factor -l**2/8 - 11*l/8 + 15/2.
-(l - 4)*(l + 15)/8
Determine j, given that -2*j**4/13 + 62*j**3/13 - 398*j**2/13 + 690*j/13 = 0.
0, 3, 5, 23
Solve -512*h**5/3 + 64*h**4/3 + 926*h**3/3 - 226*h**2/3 - 138*h + 54 = 0 for h.
-1, 9/16, 1
Suppose -18*t**3 + 165*t**2 + 369*t - 66 = 0. Calculate t.
-2, 1/6, 11
What is h in -h**3/5 + h**2/5 + 5*h - 5 = 0?
-5, 1, 5
Solve 3*z**2 - 5019*z + 10026 = 0 for z.
2, 1671
Factor 4*z**3 + 76*z**2 - 456*z + 576.
4*(z - 3)*(z - 2)*(z + 24)
Factor -50*n**2 + 385*n - 245.
-5*(n - 7)*(10*n - 7)
Factor j**5 + j**4 - 26*j**3 + 24*j**2.
j**2*(j - 4)*(j - 1)*(j + 6)
Find l such that 28*l**4 - 188*l**3 - 56*l**2 = 0.
-2/7, 0, 7
Factor -3*h**3 - 4023*h**2 + 8055*h - 4029.
-3*(h - 1)**2*(h + 1343)
Find v, given that -v**2/5 - 392*v/5 - 38416/5 = 0.
-196
Factor -22*c**4/9 + 136*c**3/9 - 8*c**2/3.
-2*c**2*(c - 6)*(11*c | {
"pile_set_name": "DM Mathematics"
} |
(13).
-2
Let y(v) = -12*v**3 - v**2 - 2*v - 2. Determine y(-1).
11
Let l(q) = 17*q - 16. Calculate l(2).
18
Let i(q) = 15*q**2 + 4*q - 1. Give i(1).
18
Let y(d) = d**3 + 5*d**2 + 3*d + 14. Determine y(-5).
-1
Let j(a) = 3*a**2 - 27*a + 12. Calculate j(9).
12
Let m(d) = 8*d**3 - 2*d**2 + 2*d - 1. What is m(1)?
7
Let c(u) = 22*u + 95. Calculate c(-3).
29
Let z(d) = -d**2 - 9*d - 15. Calculate z(-5).
5
Let v(h) = h**3 - 18*h**2 + 10*h + 16. Calculate v(17).
-103
Let u(o) = -22*o + 147. Give u(7).
-7
Let n(r) = -2*r**2 - 2*r + 1. Determine n(4).
-39
Let y(g) = -g - 4. What is y(7)?
-11
Let u(p) = -p**3 + 15*p**2 - 20*p - 84. Give u(13).
-6
Let u(p) = -7*p + 136. Give u(20).
-4
Let k(w) = 68*w**3 - 2*w**2 + 2*w - 1. Give k(1).
67
Let y(d) = d**2 + 16*d - 53. Give y(-21).
52
Let n(s) = -42*s + 679. Give n(16).
7
Let l(j) = -2*j + 21. Give l(11).
-1
Let i(o) = -33*o - 48. Determine i(-4).
84
Let l(v) = -7*v + 1. Calculate l(2).
-13
Let g(t) = 2*t**2 - 3. Give g(-3).
15
Let n(c) = -c**2 - 11*c + 57. Calculate n(-13).
31
Let b(i) = -9*i - 33. Give b(-4).
3
Let g(c) = c**3 - c**2 - 3*c + 2. Determine g(2).
0
Let w(h) = h**3 + 21*h**2 + 40*h + 29. Determine w(-19).
-9
Let w(u) = -20*u**3 + 3*u**2 - u - 1. What is w(1)?
-19
Let b(m) = -2*m**2 - 16*m - 4. Calculate b(-8).
-4
Let n(j) = j**3 - 26*j**2 - 26*j - 12. What is n(27)?
15
Let n(m) = -m**2 + 12*m - 19. What is n(9)?
8
Let y(u) = u**2 - 24*u + 18. Determine y(14).
-122
Let k(f) = -2*f + 45. What is k(6)?
33
Let z(u) = 2*u**2 - 49*u + 1. Calculate z(25).
26
Let l(r) = r**3 + 13*r**2 + 14*r - 13. What is l(-12)?
-37
Let p(x) = x**3 + 11*x**2 + 12*x + 1. Determine p(-10).
-19
Let q(p) = -75*p - 71. Calculate q(-1).
4
Let j(a) = a**2 + 12*a + 10. Calculate j(-11).
-1
Let x(p) = -p**3 + 10*p**2 - 10*p + 95. What is x(10)?
-5
Let y(h) = -6*h + 9. Determine y(2).
-3
Let j(q) = -2*q - 2. What is j(-9)?
16
Let o(i) = i**2 - 21*i - 16. Determine o(18).
-70
Let f(v) = 12*v - 14. What is f(1)?
-2
Let o(y) = y**2 + 17*y + 32. Give o(-17).
32
Let d(g) = 108*g - 447. Give d(4).
-15
Let m(h) = -h**3 - 32*h**2 + 141*h - 112. What is m(-36)?
-4
Let o(g) = -g**3 + 2*g**2 + 2*g - 3. Calculate o(2).
1
Let m(f) = -f**3 - 12*f**2 - 2*f - 23. Give m(-12).
1
Let c(d) = -d**2 - 10*d + 14. Determine c(-11).
3
Let c(y) = 5*y - 114. Calculate c(24).
6
Let y(m) = 13*m - 11. Give y(3).
28
Let c(v) = 9*v**2 + 6*v + 1. Calculate c(-1).
4
Let a(n) = -4*n**2 + 7*n - 15. What is a(6)?
-117
Let h(n) = n**3 - 18*n**2 + 45*n - 6. Calculate h(15).
-6
Let f(g) = g**2 - g. Give f(-1).
2
Let q(l) = l**3 - 10*l**2 + l - 9. Give q(10).
1
Let s(x) = -30*x**2 - 2*x + 1. Give s(1).
-31
Let x(k) = k**3 - 5*k**2 - 11*k - 2. Determine x(6).
-32
Let a(j) = j**3 + 8*j**2 - 12*j. What is a(-9)?
27
Let r(c) = c**3 - 28*c**2 - 32*c + 62. What is r(29)?
-25
Let k(j) = j**2 - 6*j + 2. What is k(8)?
18
Let m(s) = s**3 - 3*s**2 - 5*s - 4. Calculate m(4).
-8
Let l(f) = f**3 - 8*f**2 + 10. Give l(2).
-14
Let r(t) = -t**2 - 8*t - 24. Give r(-10).
-44
Let x(y) = y**2 - 29*y + 24. What is x(28)?
-4
Let m(a) = -a**3 - 8*a**2 + 6*a - 20. What is m(-9)?
7
Let r(p) = p**2 - 14*p + 14. What is r(13)?
1
Let j(d) = d**3 + 6*d**2 + 8. Calculate j(-6).
8
Let d(u) = -4*u - 25. Determine d(-25).
75
Let i(x) = -x**2 + 16*x - 30. Give i(14).
-2
Let f(o) = -o**3 + 5*o**2 - 3*o + 2. Give f(2).
8
Let l(x) = -16*x + 28. Give l(1).
12
Let u(j) = 3*j + 29. Determine u(-13).
-10
Let o(f) = -83*f**3 - f - 1. Give o(-1).
83
Let r(o) = o**3 + 4*o**2 - 4*o - 8. What is r(-4)?
8
Let g(m) = 3*m - 19. Determine g(6).
-1
Let q(d) = -d**3 - 20*d**2 - d - 23. Give q(-20).
-3
Let u(n) = -n**2 + n - 2. Calculate u(-3).
-14
Let k(i) = -3*i**2 + 22*i - 11. Calculate k(6).
13
Let i(q) = -q**3 + 4*q**2 - 4*q - 2. Give i(4).
-18
Let t(w) = 4*w - 81. Calculate t(14).
-25
Let w(o) = 11*o + 80. Calculate w(-11).
-41
Let v(f) = -9*f + 12. What is v(6)?
-42
Let a(t) = -t**3 + 19*t**2 + 42*t + 1. What is a(21)?
1
Let a(f) = 2*f**2 - 25*f + 25. What is a(12)?
13
Let j(b) = b**2 - 2*b - 9. Calculate j(-2).
-1
Let w(l) = -l**3 - 13*l**2 - 14*l - 20. What is w(-12)?
4
Let w(a) = -a - 75. What is w(0)?
-75
Let h(k) = 36*k + 3. Give h(-5).
-177
Let i(w) = w**3 + 25*w**2 + 23*w - 33. Determine i(-24).
-9
Let s(l) = -l**3 - 7*l**2 - 71*l - 396. Calculate s(-6).
-6
Let c(d) = d - 2. Calculate c(2).
0
Let r(b) = b**2 - 12*b - 11. What is r(12)?
-11
Let y(o) = 3*o + 6. Determine y(-3).
-3
Let r(n) = -n**2 - 2*n - 1. Calculate r(-4).
-9
Let k(u) = -u**3 + 12*u**2 + 15*u - 12. What is k(13)?
14
Let b(o) = -2*o**2 + 14*o - 33. Calculate b(6).
-21
Let i(u) = -5*u + 18. Determine i(-8).
58
Let y(g) = -g**3 - 4*g**2 + 4*g - 13. Give y(-5).
-8
Let r(t) = -8*t + 70. Calculate r(8).
6
Let j(i) = -i - 17. What is j(-13)?
-4
Let w(t) = -t**2 - 19*t + 555. Give w(-35).
-5
Let l(q) = -2*q - 7. Give l(-4).
1
Let z(l) = -l**3 - 5*l**2 - 5*l - 12. Calculate z(-4).
-8
Let t(r) = -r**2 - 19*r + 36. Determine t(-21).
-6
Let v(y) = 7*y - 31. What is v(4)?
-3
Let i(o) = -2*o + 9. Calculate i(7).
-5
Let y(w) = -5*w - 130. What is y(-27)?
5
Let r(g) = g**3 + 19*g**2 - 7*g - 20. Determine r(-19).
113
Let z(q) = -2*q**3 - 15*q - 15. Determine z(-1).
2
Let h(v) = 5*v - 3. Calculate h(-1).
-8
Let y(g) = -g**3 - 4*g**2 + 2*g - 18. Give y(-5).
-3
Let o(g) = 11*g**2 - 2*g + 1. Determine o(1).
10
Let o(a) = -21*a + 37. Calculate o(3).
-26
Let h(i) = -6*i**2 + 14*i - 10. What is h(3)?
-22
Let y(t) = t**3 - 58*t**2 - 61*t + 121. Give y(59).
3
Let l(m) = -2*m - 38. Calculate l(-20).
2
Let r(n) = n**3 - 2*n**2 + 5*n - 3. What is r(2)?
7
Let s(j) = -j**2 - 20*j + 102. What is s(-24)?
6
Let g(t) = -t**2 - 8*t - 8. Calculate g(-8).
-8
Let i(n) = -3*n**2 - 37*n + 21. Calculate i(-9).
111
Let c(j) = j**2 - j + 19. Determine c(0).
19
Let g(y) = 5*y**3 + 4*y - 4. Calculate g(1).
5
Let z(j) = 102*j - 93. Calculate z(1).
9
Let b(z) = -7*z - 200. Determine b(-34).
38
Let w(t) = -t**2 + 2*t + 17. Determine w(6).
-7
Let j(n) = n**3 - 2*n**2 - n + 1. What is j(-1)?
-1
Let y(b) = -2*b**2 - 30*b + 36. Give y(-17).
-32
Let w(p) = -p - 2. What is w(-7)?
5
Let h(p) = 7*p + 28. Give h(-4).
0
Let g(p) = -7*p + 319. Determine g(45).
4
Let r(b) = b**3 + 5*b**2 - 26*b - 9. What is r(-6)?
111
Let i(o) = 2*o - 9. Give i(-11).
-31
Let d(l) = -l**3 + 11*l**2 + 13*l - 13. Give d(12).
-1
Let h(s) = -s**2 + 27*s - 66. Determine h(24).
6
Let u(y) = -y**2 + 8*y - 6. What is u(6)?
6
Let q(p) = -p + 26. Calculate q(24).
2
Let m(f) = f + 3. What is m(3)?
6
Let z(n) = 15*n + 231. Give z(-16).
-9
Let l(b) = -8*b + 113. Determine l(14).
1
Let b(l) = -l**3 - 4*l**2 - 3*l - 11. What is b(-4)?
1
Let y(k) = -k**2 - 5*k. Determine y(-2).
6
Let s(h) = -2*h**2 + 4*h - 5. Calculate s(1).
-3
Let a(k) = -k**2 - 2*k + 7. Determine a(5).
-28
Let t(z) = -z**3 - 22*z**2 + 61*z - 343. Calculate t(-25).
7
Let g(f) = f - 2. What is g(3)?
1
Let p(l) = -l**2 + 17*l + 12. What is p(12)?
72
Let n(j) = -j**3 - 14*j**2 + 3*j - 17. Determine n(-14).
-59
Let o(t) = t**3 - 11*t**2 - 13*t + 5. Give o(12).
-7
Let n(d) = d - 23. What is n(5)?
-18
Let f(s) = -s + 5. Give f(3).
2
Let n(c) = c**2 + c + 102. What is n(0)?
102
Let a(f) = -f**3 + f**2 + 42*f + 9. Give a(-6).
9
Let z(b) = -2*b**3 - 3*b**2 - 2*b - 7. Calculate z(-3).
26
Let i(v) = -v**2 - 2*v + 10. Determine i(0).
10
Let c(n) = 2*n**2 - 49*n + 22. Give c(24).
-2
Let w(l) = -36*l**2 + 2*l + 1. Calculate w(-1).
-37
Let a(d) = d**2 - 7*d + 3. What is a(4)?
-9
Let z(t) = -77*t**3 + t**2 - t + 1. Calculate z(1).
-76
Let h(j) = -j**3 - 5*j**2 + 3*j - 11. Determine h(-6).
7
Let a(d) = -5*d**2 + 5*d + 3. Calculate a(4).
-57
Let o(j) = -6*j - 10. Give o(-3).
8
Let p(q) = 2*q - 13. Calculate p(27).
41
Let h(w) = w**3 - 7*w**2 - 28*w - 14. Calculate h(10).
6
Let d(t) = -t**3 - 18*t**2 + 17*t - 33. Determine d(-19).
5
Let b(w) = w**2 + 22*w - 18. Determine b(-22).
-18
Let a(q) = -q**2 - 3*q - 10. Determine a(5).
-50
Let b(c) = -c**3 - c**2 - c + 16. Determine b(0).
16
Let a(y) = 4*y**2 + 4*y + 7. Give a(-3).
31
Let r(y) = -y + 19. Determine r(10).
9
Let u(o) = -5*o - 41. Calculate u(-8).
-1
Let i(g) = -g**2 - 14*g - 39. Determine i(-8).
9
Let d(x) = x**2 - 6*x - 1. What is d(-5)?
54
Let t(l) = l**2 - 5*l - 10. Determine t(-3).
14
Let x(n) = n**2 - 7*n - 11. Determ | {
"pile_set_name": "DM Mathematics"
} |
g + -5/17. What is the closest to 1/4 in x, t, 0?
0
Let u be 0 - 1 - (-2)/(-2). Let c be u/(-3)*(-3)/(-6). What is the closest to c in 3/4, 0.4, -0.5?
0.4
Let z = -41 - -44. Which is the closest to 8? (a) z (b) 2 (c) -0.1
a
Suppose -z = -2*h + 1 - 4, -6 = 4*z + h. Let j = -23.975 - 0.025. Let g = -26 - j. Which is the closest to z? (a) -1 (b) g (c) 3/5
a
Let w = -1.2 + 0.8. Let f = -9 + 5. What is the nearest to 1/2 in -4/7, w, f?
w
Let d(x) = x**3 + 2*x**2 - 6*x + 1. Let h be d(-3). Let n be (-5)/(h/(-6))*1. What is the nearest to -1 in n, -2, -4?
-2
Let w = 0.1 + 0.9. Let i = 0.08 + -0.08. Which is the nearest to i? (a) -0.1 (b) -4 (c) w
a
Let a = 68 + -70. What is the closest to a in -2, 3, -0.1?
-2
Let g = 63.3 + -63. Which is the closest to 3/2? (a) g (b) 2 (c) -0.06
b
Let f(m) = m + 3. Let g = -10 - -4. Let j be f(g). Let d = j - -2. Which is the nearest to 0? (a) 4 (b) d (c) -3/4
c
Let x = -25 - -24. What is the closest to -7/2 in 1/2, x, 5?
x
Let g = 0.083 + -0.483. Which is the closest to -1/4? (a) 2/9 (b) g (c) 0
b
Suppose -2*o + 0*o - 6 = 0. Let g(i) = i. Let t be g(o). What is the nearest to -0.1 in 5, t, 3/4?
3/4
Let j = 3 - 4. Let d = 9.8 + -10. Let h = d - -0.3. Which is the closest to h? (a) -0.4 (b) j (c) 0.4
c
Let o = 0.5 + -0.9. Let q = o - 0.1. Let s = 370 + -366. Which is the closest to 1/4? (a) s (b) 5 (c) q
c
Let i = -16 + 12. What is the closest to 0 in i, -2, 5?
-2
Suppose -5*s = p + 41 + 38, 2*s = -4*p - 46. Which is the nearest to 1? (a) s (b) 1 (c) 2
b
Let j = 3 + 0. Let d be 3 - ((-34)/(-6) - 3). Which is the closest to d? (a) j (b) -4 (c) 2
c
Let p = -6.5 + 6. What is the closest to -0.1 in p, -5, 3?
p
Let n = 3.9 + -4.3. What is the closest to 0.1 in 0.2, n, 9?
0.2
Let h = -20 - -19. What is the closest to 2/7 in h, -1/3, 3?
-1/3
Suppose -3*u - 4 = -16. Let w = 737 + -1511/2. Let t = 18 + w. Which is the closest to -1? (a) u (b) -1 (c) t
b
Let i = -0.36 - 1.64. What is the nearest to 0 in i, -2/11, 3?
-2/11
Let k = -14 - -16. Let t = 2.1 + -2. Let g = 15 - 11. What is the closest to k in t, g, 1/7?
1/7
Let t = -21 - -18. What is the nearest to 0 in t, -0.3, -1?
-0.3
Let d be 33/(-22) + 306/(-4). Let w = d - -549/7. What is the closest to 0.2 in 2/11, 2/3, w?
2/11
Let s = -0.05 + 0.25. What is the closest to 1/2 in 0, 0.1, s?
s
Let u = 5 + -2. Let b = 3 - 2. What is the nearest to -2 in b, 0.3, u?
0.3
Let g = -0.1 - 1.9. Let h(p) = p**2 + 7*p. Let y(o) = o**2 + 6*o. Let q(l) = 4*h(l) - 5*y(l). Let f be q(-2). What is the closest to f in 5, 4, g?
g
Let x be (3 + 0)*10/6. Suppose 4*h - 6 = -4*j + 2*h, x*j = 2*h + 30. Let r = -0.1 + 0.4. What is the nearest to 0.1 in 1/5, r, j?
1/5
Let a = -211/4 + 53. What is the closest to a in 2/5, 0.02, 5/4?
2/5
Let m be -5 + 2*(-5)/(-10). What is the closest to -1 in 0, 5, m?
0
Let d be ((-1)/(-5))/((-7)/(-21)). What is the closest to 1 in -3, d, 0.5?
d
Let o = 121 - 1091/9. Let r = 0.59 - 0.99. What is the nearest to 1/2 in r, o, -0.1?
-0.1
Suppose 0 = 2*r + 4*k - 5*k + 1, -r = -4*k - 3. Let s = -0.6 + 0.4. Let f = -8 + 7. What is the nearest to f in s, 1, r?
r
Let i(w) = w**2 - 2*w - 2. Let g be i(3). Suppose 5 = 2*n - g. Suppose 0 = -2*z - k - 4, n*z + 4*k + 4 = -z. What is the nearest to -0.1 in z, -5, 1?
1
Let j = 9550.06 - 9402. Let o = j - 150. Let d = o - 0.06. Which is the closest to 1? (a) d (b) -3 (c) -0.2
c
Let a = -1 + 4. Let s = 0.4 - 0.3. What is the closest to -1 in a, -1, s?
-1
Let a = -0.05 + 0.08. Let x = -0.53 + a. What is the nearest to -0.2 in -0.1, x, -0.4?
-0.1
Let j = -2.86 + 3. Let g = j - 0.04. What is the nearest to -3 in g, 1/3, -1/4?
-1/4
Let o = -134 - -134. Which is the nearest to o? (a) 4 (b) 2 (c) 11
b
Suppose -7*q + 4*q - 6 = 0. Let l be 10/(-3) - (q + -1). What is the nearest to 1 in 2/7, l, -1/2?
2/7
Let j = -22 - -21.8. What is the nearest to 0.2 in -0.3, j, -0.4?
j
Let o = 4 + -6. Let f = 0.06 - 2.06. Let u = 1.7 + f. Which is the nearest to o? (a) 0.3 (b) -2 (c) u
b
Let g = 0.4 - 0.6. Let i(q) = -q**3 + 8*q**2 - 1. Let x be i(8). What is the closest to x in -1/3, g, 3?
-1/3
Let d be (6/4 + -3)/(5 - 14). What is the nearest to 1 in 0, d, 8?
d
Let h be -2 - (-1012)/507 - 0. Let n = h - 393/338. Let t = -1/2 - n. Which is the nearest to -1/3? (a) 2/7 (b) t (c) -1
a
Suppose 3*o = 5*h - 10, -2*o + 3*h + 0 = 6. What is the closest to 1 in -13, -0.5, o?
o
Let v = 2.05 + -2. Let m = v + 0.25. What is the closest to -2 in 0.2, 3, m?
0.2
Let x be 3/(11/(-4) + 2). What is the closest to -5 in 4, x, 5?
x
Let u(h) = -5*h**3 + 0*h**3 - h**2 + 1 + 15*h**3. Let r be u(-1). Let z be (5/r)/((-1)/(-2)). Which is the closest to -1? (a) 2 (b) -2/11 (c) z
c
Let o = -4 - -6. Let x = -1 - -0.6. Which is the closest to o? (a) -0.5 (b) x (c) -2/11
c
Let x = -19 - -14. Let u = 12 + -11.6. Which is the nearest to 0.1? (a) -0.1 (b) x (c) u
a
Let j(v) = v**3 + 10*v**2 + 11*v + 13. Let o = 13 + -22. Let t be j(o). Let s = -28 - -85/3. Which is the closest to s? (a) t (b) -3 (c) -2/3
c
Let r be 8/(-36) - (-82)/(-36). What is the nearest to 41 in r, 2/7, 4/3?
4/3
Let n be ((-1)/2)/(5/(-8)). Let t = -4/97 + 254/1455. Which is the nearest to 2? (a) 4 (b) n (c) t
b
Let d = -0.03 - -3.03. Suppose -5*o - 7*i + 20 = -2*i, 4*i = 3*o - 19. What is the closest to 0.1 in d, o, 0.5?
0.5
Suppose -v = i + 3, -5*i + 4*v = -4 + 46. Let n = -7 - -2. Let w be (n/i)/((-3)/(-9)). Which is the nearest to -0.1? (a) -5 (b) -2/7 (c) w
b
Let h be (2/6*0)/(-1). Let d be (-3)/5*(-4)/18. What is the closest to h in -0.4, d, 3?
d
Suppose -5*m + 5 = -0*m. Let g be (8/6 - 3) + m. Which is the nearest to 1/3? (a) 0.5 (b) -4 (c) g
a
Let s = 0.21 - 0.41. Which is the closest to -3? (a) 5 (b) s (c) 0.3
b
Let k = 20 - 13. Let w be k + -9 - 8/(-5). Let r = -0.4 + 4.4. Which is the nearest to 1? (a) -4 (b) r (c) w
c
Let u = 126.2 + -126. What is the closest to 2/9 in -2/13, 1/4, u?
u
Suppose -8 = -8*r + 12*r. Which is the closest to -0.1? (a) -1/3 (b) -2/9 (c) r
b
Let m = -4.01 - -0.01. Let g = m - -3.9. Let u be 10/(-7) + (3 - 1). Which is the nearest to g? (a) 1/4 (b) 4 (c) u
a
Let j = 1.2 - 6.2. Let g = 0.1 - 0.3. What is the closest to g in 1, j, 2?
1
Let a = -1.3 + 0.9. What is the closest to -1 in a, -1/13, -1/2?
-1/2
Let s = -0.44 - 0.06. Which is the nearest to 1? (a) 4 (b) 2/15 (c) s
b
Let w = 177 + -882/5. Let x = 0.45 - 30.45. Let i = x - -29.6. Which is the closest to -2/9? (a) w (b) 0.5 (c) i
c
Let t = 0.057 + -0.057. What is the nearest to t in -0.4, 19, -1/9?
-1/9
Let h = -613/6 + 102. What is the nearest to 2/5 in -2/7, h, 3?
h
Let s = -0.14 + 5.14. What is the nearest to -1 in -1/6, -0.4, s?
-0.4
Let b = -0.3 + 2.3. Let z be 0 - ((-10)/(-4))/(-5). What is the closest to z in b, 9, 2/17?
2/17
Let d(t) = t**3 + 4*t**2 + 2*t + 2. Let o be d(-3). Let s = 0.4 + -0.5. Which is the nearest to s? (a) 3 (b) 1 (c) o
b
Let j = 130 - 132. Let g = -0.2 - 0. What is the nearest to -1/2 in -2/7, g, j?
-2/7
Let i = -4.51 - -0.51. Which is the closest to -1? (a) 1/3 (b) -1.5 (c) i
b
Suppose -p = -0*p + 5. Which is the closest to -3/4? (a) p (b) 0.2 (c) -4
b
Let z = -4 + 0. Let y = 0 - z. Let h = -0.7 + 1. Which is the closest to 0.2? (a) y (b) h (c) 5
b
Let f = 25.7 + -26. Let h = 0.7 + f. Which is the nearest to 0? (a) h (b) -3/5 (c) -3
a
Let w = 0.031 - -0.169. Which is the closest to 2/11? (a) w (b) 4 (c) 3
a
Let z = -44 + 171/4. Let m = -3.63 + -0.37. What is the closest to 1/2 in -0.4, z, m?
-0.4
Let l = -24.7 + 26. Let h = 0.3 - l. Which is the nearest to -1/4? (a) -3 (b) -2 (c) h
c
Let i = 0 - 0.1. Let j = -3.98 - 0.02. Let z = -27/4 + 131/20. Which is the closest to i? (a) j (b) z (c) 1
b
Let d = -4 + 5. Let m = 1 - -1.5. Let u = m + 0.5. Which is the nearest to u? (a) -3 (b) 4 (c) d
b
Let f = 0.09 + 0.41. Which is the nearest to 1? (a) -0.5 (b) 1 (c) f
b
Let y = 14 - 16. Let r = -6 + 5. Let g = 0.3 - 1.3. What is the closest to g in r, 0.2, y?
r
Let q = 0.4 + -0.4. Suppose -4*s = -2*s - 10. Let u = 12 - 8. Which is the closest to q? (a) u (b) 2/13 (c) s
b
Let v = -0.1 + -0.2. Let k = -215.9 + 216. What is the nearest to 2/5 in k, -2/5, v?
k
Suppose -2 = -5*i - 7. Which is the nea | {
"pile_set_name": "DM Mathematics"
} |
e factors of 281137288.
2, 61, 576101
List the prime factors of 233853928.
2, 7, 11, 379633
What are the prime factors of 4165748312?
2, 11, 4303459
What are the prime factors of 1321010456?
2, 10529, 15683
List the prime factors of 104162736.
2, 3, 1213, 1789
What are the prime factors of 1056246200?
2, 5, 1823, 2897
What are the prime factors of 1799455961?
1799455961
What are the prime factors of 18628068?
2, 3, 23, 67493
What are the prime factors of 237858538?
2, 118929269
What are the prime factors of 309114660?
2, 3, 5, 199, 25889
List the prime factors of 402454416.
2, 3, 7, 13, 199, 463
List the prime factors of 384290313.
3, 11, 157, 613
List the prime factors of 614430255.
3, 5, 1361, 30097
List the prime factors of 56548480.
2, 5, 149, 593
List the prime factors of 112519512.
2, 3, 7, 223253
List the prime factors of 2304342687.
3, 197, 3899057
What are the prime factors of 144464956?
2, 73, 494743
List the prime factors of 413848822.
2, 31, 107, 62383
List the prime factors of 93374939.
7, 37, 51503
List the prime factors of 495583225.
5, 4129, 4801
List the prime factors of 19593490.
2, 5, 7, 41, 6827
List the prime factors of 283269672.
2, 3, 7, 562043
What are the prime factors of 3622470410?
2, 5, 13, 71, 392467
What are the prime factors of 212878217?
212878217
What are the prime factors of 250026215?
5, 23, 2174141
What are the prime factors of 44167909?
311, 142019
List the prime factors of 9673508.
2, 13, 19, 9791
List the prime factors of 428212526.
2, 7, 233, 251, 523
What are the prime factors of 72503585?
5, 7, 11, 26903
List the prime factors of 294677701.
41, 101, 71161
What are the prime factors of 156208457?
229, 499, 1367
What are the prime factors of 1041336229?
1041336229
List the prime factors of 1203637693.
113, 10651661
List the prime factors of 82663086.
2, 3, 11, 941
What are the prime factors of 80118231?
3, 19, 1405583
List the prime factors of 3623316562.
2, 3137, 577513
What are the prime factors of 360916167?
3, 31, 37, 53, 1979
List the prime factors of 1509294385.
5, 23, 107, 173, 709
List the prime factors of 170330960.
2, 5, 281, 7577
List the prime factors of 219308089.
7, 11, 13, 19, 887
List the prime factors of 76274126.
2, 38137063
List the prime factors of 49130684.
2, 2777, 4423
List the prime factors of 5261974355.
5, 11, 53, 1805137
List the prime factors of 164717345.
5, 13, 941, 2693
List the prime factors of 28417373.
2467, 11519
List the prime factors of 134726369.
41, 61, 103, 523
What are the prime factors of 258327526?
2, 31, 1597, 2609
List the prime factors of 4205135898.
2, 3, 19, 151799
What are the prime factors of 4810543531?
163, 491, 60107
List the prime factors of 950644615.
5, 12919, 14717
What are the prime factors of 205606397?
205606397
List the prime factors of 5334755385.
3, 5, 41, 8674399
List the prime factors of 207182399.
207182399
What are the prime factors of 14884453?
29, 513257
List the prime factors of 358010769.
3, 17, 61, 115079
List the prime factors of 1064860658.
2, 13829, 38501
What are the prime factors of 943753926?
2, 3, 151, 1041671
List the prime factors of 184405924.
2, 97, 475273
What are the prime factors of 2875467185?
5, 575093437
List the prime factors of 1143702008.
2, 139, 1028509
What are the prime factors of 298078097?
523, 569939
What are the prime factors of 902577379?
11, 17, 1907, 2531
List the prime factors of 29502772.
2, 13, 61, 71, 131
List the prime factors of 554170654.
2, 277085327
What are the prime factors of 113745186?
2, 3, 6319177
List the prime factors of 19677518.
2, 7, 199, 1009
What are the prime factors of 70989959?
70989959
List the prime factors of 27747677.
27747677
List the prime factors of 440726681.
440726681
List the prime factors of 985733142.
2, 3, 29, 479, 11827
List the prime factors of 108916255.
5, 7, 271, 11483
List the prime factors of 64098128.
2, 4006133
What are the prime factors of 4243772862?
2, 3, 7, 33680737
What are the prime factors of 107113646?
2, 29, 109, 16943
List the prime factors of 7606152.
2, 3, 149, 709
What are the prime factors of 71141816?
2, 8892727
What are the prime factors of 1395946689?
3, 465315563
What are the prime factors of 32512778?
2, 3011, 5399
List the prime factors of 882551264.
2, 7, 43, 59, 1553
List the prime factors of 2220503845.
5, 7, 9063281
List the prime factors of 496056468.
2, 3, 53, 409, 1907
List the prime factors of 125275451.
7, 37, 101, 4789
What are the prime factors of 38813913?
3, 4312657
List the prime factors of 14154504.
2, 3, 7, 13, 6481
What are the prime factors of 3939647?
23, 103, 1663
What are the prime factors of 46769702?
2, 7, 37, 90289
List the prime factors of 79713329.
79713329
What are the prime factors of 2835234853?
11, 19, 37, 33331
What are the prime factors of 2092601701?
2092601701
List the prime factors of 663863152.
2, 983, 42209
What are the prime factors of 381235686?
2, 3, 13, 4887637
List the prime factors of 3335297797.
13, 2011, 127579
What are the prime factors of 126253178?
2, 63126589
What are the prime factors of 89098117?
89098117
What are the prime factors of 1400273399?
7, 37, 229, 23609
What are the prime factors of 91656547?
151, 606997
List the prime factors of 469671085.
5, 13, 7225709
List the prime factors of 70255648.
2, 79, 27791
What are the prime factors of 905652060?
2, 3, 5, 113, 223, 599
List the prime factors of 3031513.
157, 19309
List the prime factors of 1439851274.
2, 19, 37890823
What are the prime factors of 719685011?
991, 726221
List the prime factors of 935763918.
2, 3, 155960653
List the prime factors of 135490259.
547, 247697
List the prime factors of 11112540.
2, 3, 5, 89, 2081
What are the prime factors of 21042074?
2, 401, 26237
List the prime factors of 1404033427.
1404033427
List the prime factors of 1839543615.
3, 5, 7, 13, 19, 37, 71
What are the prime factors of 2228862?
2, 3, 43, 53, 163
What are the prime factors of 734472893?
7, 11, 41, 83, 2803
List the prime factors of 181852281.
3, 13, 17, 541
What are the prime factors of 3882048712?
2, 139, 3491051
List the prime factors of 298619293.
7, 29, 1471031
What are the prime factors of 616628204?
2, 19, 8113529
What are the prime factors of 9036807?
3, 13, 139, 1667
List the prime factors of 98879555.
5, 701, 28211
List the prime factors of 28868556.
2, 3, 317, 7589
What are the prime factors of 5459604?
2, 3, 454967
What are the prime factors of 47602436?
2, 7, 1700087
List the prime factors of 51320305.
5, 10264061
List the prime factors of 668961932.
2, 193, 653, 1327
What are the prime factors of 3078516329?
7, 43, 10227629
List the prime factors of 96301177.
7, 19, 67, 101, 107
List the prime factors of 237575618.
2, 7, 2424241
What are the prime factors of 774981030?
2, 3, 5, 25832701
What are the prime factors of 5633885297?
5633885297
What are the prime factors of 248562308?
2, 151, 411527
List the prime factors of 1775663661.
3, 591887887
What are the prime factors of 115098113?
13, 157, 56393
List the prime factors of 7924342598.
2, 47, 84301517
List the prime factors of 159311305.
5, 311, 102451
What are the prime factors of 67301649?
3, 7477961
What are the prime factors of 587164961?
19, 107, 288817
List the prime factors of 14950166.
2, 7, 11, 193, 503
List the prime factors of 844994755.
5, 11, 59, 260399
What are the prime factors of 285068546?
2, 7, 17, 1197767
List the prime factors of 5712627086.
2, 113, 1151, 21961
What are the prime factors of 59519402?
2, 29759701
What are the prime factors of 594036108?
2, 3, 16501003
What are the prime factors of 3812935974?
2, 3, 937, 678217
List the prime factors of 665095504.
2, 101, 411569
What are the prime factors of 5294064698?
2, 13, 23, 8852951
What are the prime factors of 5997803059?
34253, 175103
List the prime factors of 208707547.
5113, 40819
List the prime factors of 136853703.
3, 7, 23, 94447
What are the prime factors of 524059421?
5081, 103141
What are the prime factors of 8055841818?
2, 3, 1342640303
What are the prime factors of 2000654670?
2, 3, 5, 7, 109, 87403
What are the prime factors of 1046694800?
2, 5, 19, 137723
What are the prime factors of 765472126?
2, 382736063
What are the prime factors of 1742052072?
2, 3, 72585503
List the prime fa | {
"pile_set_name": "DM Mathematics"
} |
en h is divided by 5 + -1 + 2 + -2.
1
Let y = -42 + 42. Suppose -4*x - 148 = -2*n, y*n = 4*n - x - 268. What is the remainder when n is divided by 23?
20
Suppose -p - 3 = 3*j, -3*p = -3*j - 29 + 2. Calculate the remainder when 11 is divided by p.
5
Suppose -24*j = j - 46850. What is the remainder when j is divided by 14?
12
Let v be -5*2/(-50) + (-46)/5. Calculate the remainder when 58 is divided by (-183)/v + (1/(-3))/1.
18
Suppose 0 = 4*w - 8*w + 72. Calculate the remainder when 21 is divided by ((-22)/(-3))/(12/w).
10
Let z(p) = p**3 + 24*p**2 - 257*p + 14. Calculate the remainder when -3 - -2 - 40/(-1) is divided by z(8).
3
Let c(x) be the first derivative of x**3/3 - 5*x**2 + 14*x - 2. Let n = -254 + 266. What is the remainder when c(n) is divided by 14?
10
Let f(p) = -p**3 - 16*p**2 - 14*p + 12. Let q be f(-14). Let r = q - -324. What is the remainder when r is divided by 36?
32
Let t(p) = 5*p - 2. Let n be t(2). Suppose 0 = 3*l + o - 31 + n, 0 = -5*l + o + 25. What is the remainder when 16 is divided by l?
4
Suppose 4*v + 13 = -2*l + 5*l, -4*l + 5*v + 17 = 0. Suppose -l*g + 82 = -5*g. Let y = -29 - g. What is the remainder when 21 is divided by y?
9
Suppose 5*o + 119 = 314. What is the remainder when o/(-52) - 406/(-8) is divided by 13?
11
Suppose -2 = -f + 20. Calculate the remainder when 71 is divided by f.
5
Suppose 0 = 3*j - 13 + 10. What is the remainder when 5 is divided by j?
0
Suppose -1305 = 1150*x - 1159*x. What is the remainder when x is divided by 49?
47
Suppose -5*v = -0*h + h - 41, -h + 25 = 3*v. Suppose 9 - 45 = -4*a. Calculate the remainder when ((-4)/v + 3)*6 is divided by a.
6
What is the remainder when 32 + -3 + 4 + -8 is divided by 2?
1
Let l = -39 + 75. Calculate the remainder when l is divided by (-1)/3 + 62/6.
6
Let o(n) = 17*n + 5. Calculate the remainder when o(5) is divided by 7.
6
Let d = 105 + -52. Let b = 30 - 34. Let l = b - -15. What is the remainder when d is divided by l?
9
Let f = -37 - -52. Suppose 9*b = 558 + 225. What is the remainder when b is divided by f?
12
Suppose -2*p - 2*j + 94 = 0, -24 + 283 = 5*p - 3*j. Suppose -o - z + 21 = 0, 10*o = 5*o + z + 87. What is the remainder when p is divided by o?
14
Let m(h) = -5*h**3 - 25*h**2 + 3*h + 8. Let d(n) = 4*n**3 + 24*n**2 - 2*n - 9. Let q(p) = -4*d(p) - 3*m(p). What is the remainder when q(-21) is divided by 18?
15
Let i be (-5 - -6)*(-2 + 0 - -1). Let c(u) = 69*u**2 + 2*u + 3. What is the remainder when c(i) is divided by 18?
16
Suppose 1632 = -0*r + 24*r. Calculate the remainder when r is divided by 26.
16
Suppose -36*n = -53*n + 238. What is the remainder when 53 is divided by n?
11
Let h(b) = -b**3 - 14*b**2 - 16*b - 5. Let a(n) = -n**3 + 8*n**2 - 6*n + 9. Let c be a(7). Let s = c - 29. What is the remainder when h(s) is divided by 7?
6
Suppose -6*m = -17*m + 176. What is the remainder when 315 is divided by m?
11
Suppose -5*t = -18*f + 21*f - 506, t + 890 = 5*f. What is the remainder when f is divided by 45?
42
Suppose 36 - 4 = 4*r. Let b be -3 - -2*20/r. Suppose -2*p + 4*w = -4, 7 = p + 5*w - b*w. What is the remainder when 6 is divided by p?
2
Suppose -12*z + 3*z + 252 = 0. Calculate the remainder when 977 is divided by z.
25
Suppose 10*y - 1400 = 250. Suppose -7*t - 122 = -z - 4*t, 4*z = 5*t + 460. Let c = y - z. Calculate the remainder when c is divided by 14.
13
Let c = 483 - 206. What is the remainder when c is divided by 10?
7
What is the remainder when 702 is divided by (1/(-3))/(42/(-4662))?
36
Let k(x) = 3*x**2 + 10*x + 6. Suppose 5*t - 3*z - 67 = -0, -5*z = 2*t - 2. Calculate the remainder when k(-6) is divided by t.
10
Suppose -36 = -4*f - 3*g, 5*f - 33 - 12 = -g. Calculate the remainder when (-230)/(-5) - (0 + 3) is divided by f.
7
Suppose 65 = 11*t - 45. What is the remainder when 25 is divided by t?
5
Let x = 218 - 95. What is the remainder when x is divided by 26?
19
Let g(b) = -b - 2. Let f be g(0). Let z = -250 - -202. What is the remainder when (-3)/f*(-64)/z is divided by 1?
0
Suppose -4*s - 7 - 41 = 4*x, 5*s - 90 = 5*x. Suppose 15 = -5*o - 5*p + 45, -3*o = p - 12. What is the remainder when 3/((-36)/8)*x is divided by o?
1
Let q(a) = a**3 + 14*a**2 + 38*a - 13. Calculate the remainder when q(-9) is divided by 48.
2
What is the remainder when 302 is divided by 10/((-4)/(-2)) + 46?
47
Let n(j) = j**3 - 11*j**2 + 11*j + 12. Suppose 3*z + 2 = 4*k + 28, 2*k - 2 = 0. Calculate the remainder when n(z) is divided by -15*2*(-4)/10.
10
Let h = -5 - -9. Let p(x) = x**3 - 6*x**2 - 25*x - 8. Let o = -115 - -124. What is the remainder when p(o) is divided by h?
2
Let r be (-189)/(-18) - 1/2. Let b = -68 + 79. What is the remainder when b is divided by 14/35 + 36/r?
3
Let n(g) = -4*g + 5*g - 8*g + g**2. Suppose -h = 5*z - 9, -203 = -5*h - 4*z - 53. Calculate the remainder when h is divided by n(9).
16
Let p(x) be the second derivative of -x**3/3 - 8*x**2 + 14*x. What is the remainder when 110 is divided by p(-16)?
14
Let n be -4 + 1 - (-20)/5. Calculate the remainder when 38 + n + 2/(-1) is divided by 20.
17
Let u(r) = 39*r - 4. Let p(v) = v**2 - 2*v + 2. Let s be p(4). Suppose 4*x = -x + s. Calculate the remainder when u(x) is divided by 19.
17
Suppose 3*o - 41 = -5*w, 0*w + 4 = w + 2*o. Calculate the remainder when 188 is divided by w.
8
What is the remainder when (11 + 1)/(4/6) is divided by -3*16/(-216) + (-43)/(-9)?
3
Suppose -3*s - 4*m = -242, 434 = -4*s + 9*s - m. Calculate the remainder when s is divided by 11.
9
Calculate the remainder when (496/(-40))/(4/(-30)) is divided by 14.
9
Let h = -71 + 122. Suppose 25*p - h = 24*p. What is the remainder when p is divided by 20?
11
Let b(m) = -m**2 + 11*m + 12. Calculate the remainder when 140 is divided by b(11).
8
Suppose -3*w - 5*z = -98, 4*w = -5*z + 96 + 33. Calculate the remainder when 42 is divided by w.
11
Let q = 3139 - 3130. What is the remainder when 136 is divided by q?
1
Suppose -5*s - 5*b = -6*b - 970, -2*s - 8*b + 430 = 0. Calculate the remainder when s is divided by 48 - (-1 + 0)*1.
48
Let i(u) = 7*u**2 + 4*u + 13. What is the remainder when 127 is divided by i(-2)?
28
Suppose 20*r = -4*t + 15*r + 122, 0 = 2*t - 4*r - 74. Calculate the remainder when 100 is divided by t.
1
Suppose 31*h - 8173 - 4072 = 0. Calculate the remainder when h is divided by 44.
43
Suppose 10 + 33 = -3*f - j, -3*f + j - 41 = 0. Let h = 55 + f. Calculate the remainder when h is divided by 14.
13
Suppose -4*d + 1 - 11 = -2*w, -2*d = 0. What is the remainder when 9 is divided by w?
4
Let p = 7 - 3. Suppose 3*x = p*x. Suppose 5*o + 5*f - 295 = x, 5*o - 93 = 5*f + 242. Calculate the remainder when o is divided by 16.
15
Suppose 69*r - 64*r = 505. Suppose 5 = -2*q + 47. What is the remainder when r is divided by q?
17
Let d(k) = -12*k + 8. Let x be d(-5). Let t = x + -26. What is the remainder when t is divided by 15?
12
Let p = 16 - 13. Suppose -p*b - 4*i = -0*i - 50, i + 5 = b. Calculate the remainder when 29 is divided by b.
9
Suppose -2893 + 2620 = -13*d. What is the remainder when 1846 is divided by d?
19
Let i(b) be the first derivative of b**3/3 - 5*b**2 + 17*b + 48. Calculate the remainder when i(12) is divided by 7.
6
Suppose 2*y - 4*g - 1 = g, 0 = -3*y + 5*g - 1. Let w = 513 - 289. Calculate the remainder when 55 is divided by (w/(-12))/(y/3).
27
Let l(f) = 10*f**2 - 5*f - 2. Calculate the remainder when 86 is divided by l(-1).
8
Let d(q) = -5 - 11 + 2 + 2*q. Calculate the remainder when d(16) is divided by 11.
7
Let h = 139 + -94. Suppose -2*g - 17 = -h. Let o(r) = -r**3 + 11*r**2 - 6*r + 12. What is the remainder when o(10) is divided by g?
10
Let k = 240 - 75. What is the remainder when k is divided by 28?
25
Let t = 255 - 144. What is the remainder when t is divided by 19?
16
Let y(d) be the third derivative of 7*d**6/120 + d**5/60 - 3*d**2. Calculate the remainder when y(1) is divided by 2.
0
Let h = -369 - -394. What is the remainder when h is divided by 19?
6
Let h be (2/(-5))/(1/(-10)). Let k be ((-14)/21)/((-4)/42). Suppose -20 = -h*d, 2*q + k*d = 4*d + 205. Calculate the remainder when q is divided by 32.
31
Suppose -322 = 13*g - 2324. What is the remainder when g is divided by 23?
16
Calculate the remainder when 81 is divided by (121 - -3)*(-4)/(-16).
19
Let q(f) = 14*f**3 - f**2 | {
"pile_set_name": "DM Mathematics"
} |
s to five dps.
0.00006
Let f be (2/2)/(5/139903765). Let w = -52780753 + f. What is w rounded to the nearest 1000000?
-25000000
Let r = 7.4 - 3.8. Round r to the nearest integer.
4
Let h = 978 - -180. Suppose -308 = -5*j - h. What is j rounded to the nearest one hundred?
-200
Let u be 3 + 4555021 + 3/(-1). Suppose 7844979 = 5*g - u. What is g rounded to the nearest one hundred thousand?
2500000
Suppose 0 = -2*r + 5*y + 1111, -5*r + y = -y - 2830. Suppose -2*k - 1 + 5 = 0. Suppose -k*q - 2248 = -r. Round q to the nearest one hundred.
-800
Let l = 18.4 + -22.28. Let d = l - 0.32. Let q = -2 + d. Round q to zero dps.
-6
Let f = -12 - -6. Let u = -6.000001 - f. Round u to 5 decimal places.
0
Let o = -8 - -23. Let f = o + -15.42. Round f to one dp.
-0.4
Let q = -24.2 - -0.2. Let k = -19.3 - q. Let r = k + -4.7103. What is r rounded to three decimal places?
-0.01
Let w = -2 - 0. Let s = 0 - w. Let m = 1.949 - s. Round m to two dps.
-0.05
Let z = 54 + -53.999971. Round z to 5 decimal places.
0.00003
Suppose 9 - 1 = 4*n. Suppose 5*m - 175000 = j, -n*j - 57633 = 5*m - 232633. What is m rounded to the nearest 10000?
40000
Suppose x + 60 = 154. Let b be 438/3 - (1 - 1). Suppose 4*c - x - b = 0. What is c rounded to the nearest one hundred?
100
Let r = 13.3 - 2.3. Let p = r + -11.00007. What is p rounded to four decimal places?
-0.0001
Suppose -5*c = -3*n + 716, 0 = -4*c - 0*n - 3*n - 562. Let q = 27 + c. Let u = q - -180. Round u to the nearest ten.
70
Let k = -0.004 + 0.0039926. Round k to six decimal places.
-0.000007
Let s = -15.3 + 16. Let m = s + 0.3. Let v = 0.88 - m. Round v to 1 decimal place.
-0.1
Let l = -0.012 - -5.412. What is l rounded to the nearest integer?
5
Let v = -34.31 - -0.31. Let t = -34.0000065 - v. What is t rounded to six dps?
-0.000007
Let z(s) be the second derivative of 0 - 21/4*s**4 - 1/2*s**3 - 2*s**2 - 2*s. Let l be z(-4). What is l rounded to the nearest ten thousand?
0
Let w = 1.228 - -0.282. What is w rounded to 1 dp?
1.5
Let j = -43 + 41. Round j to zero decimal places.
-2
Let n = 1.8 - 1.8005. Round n to four decimal places.
-0.0005
Suppose 15 = -0*a + 3*a. Suppose -2550006 = -a*w + 2*m, -3*m = -7*w + 2*w + 2550009. What is w rounded to the nearest one hundred thousand?
500000
Let c = 2 + -9. Let n = c - 32. Let h = 39.76 + n. What is h rounded to one dp?
0.8
Let u = -0.76 + 0.642. Let o = u - -0.1131. Round o to 3 dps.
-0.005
Let j(k) = 2*k**3 + 9*k**2 + k + 10. Suppose 2*r - 8 = -2*r, 5*r = -2*h - 10. Let a be j(h). What is a rounded to the nearest one thousand?
-1000
Let p = 1.425 + -1.4. Let d = p + -0.02500058. What is d rounded to 7 dps?
-0.0000006
Let o(w) = -7*w**3 + w**2 + 11*w - 10. Let s be o(7). Let p = s - -1005. Round p to the nearest one hundred.
-1300
Let b = -133 - -1362. Let q = b + -611. Suppose 2*n - 2*g + g = -q, g - 928 = 3*n. What is n rounded to the nearest one hundred?
-300
Let m = -4623189.98199926 - -4623256.982. Let b = -66.07 - 0.93. Let a = m + b. What is a rounded to 7 dps?
0.0000007
Let g(d) = -13*d**3 - 2*d**2 - 4*d - 1. Let b be g(-3). Let l be 1*500*b*25. Suppose -i - l = 4*i. Round i to the nearest one hundred thousand.
-900000
Let m = 19 - 0. Let n = 19.00000038 - m. What is n rounded to seven dps?
0.0000004
Let f = -4.01 - -25.2. Let k = f - 21. Let y = k + -3.59. Round y to 0 dps.
-3
Suppose -57355 = -2*z + 24645. Round z to the nearest 10000.
40000
Let r = 4 + -2. Let q = 1.97 - r. Round q to two dps.
-0.03
Let i = -1.8 - -2.5. Let g = -0.67 + i. Let a = g + -0.0300006. Round a to seven dps.
-0.0000006
Let p = 34 - 34.12. Round p to one dp.
-0.1
Let x = -8.37 - -13.2. Let o = 0.23 - x. What is o rounded to the nearest integer?
-5
Let g = 0.084 - 0.06. What is g rounded to two dps?
0.02
Let j = -0.19 - -0.32. Let v = 0.1309 - j. What is v rounded to 3 decimal places?
0.001
Let a be (-36)/(-14) + (-9)/(-21). Suppose -y + 1548 = -6*y + f, 0 = -a*y - f - 932. What is y rounded to the nearest 100?
-300
Let x = -9.726 + 9.7. What is x rounded to 3 decimal places?
-0.026
Let t = -191497220.3 + 191709531.29997. Let o = t + -212318. Let w = o + 7. Round w to five dps.
-0.00003
Let z = -78 - -2810. Let g = 1532 - z. Round g to the nearest 1000.
-1000
Suppose -4*a = a. Let g be 1*(a - 115*-4). Round g to the nearest 100.
500
Let o = -94.836 - -95. What is o rounded to two dps?
0.16
Let j = -96.4 - -119. What is j rounded to the nearest integer?
23
Let n = 0.7 + -0.73. Let y = n - -0.03000025. Round y to seven decimal places.
0.0000003
Let a = 2.54 - 0.04. Let d = a - 0.8. What is d rounded to the nearest integer?
2
Let r = 0.010477 + -5.010476. Let d = r + 5. What is d rounded to five dps?
0
Suppose -7*n = -3*n + 12. Let y = n - -6. Suppose -q - 11999997 = 2*z + z, z = y*q - 4000009. Round z to the nearest 1000000.
-4000000
Let r = -17 + 19.3. Let f = r + -0.7. What is f rounded to zero dps?
2
Let y = 0.31 + -2.91. What is y rounded to 0 dps?
-3
Let w = 9 - 8.6. Let j = w + -0.3986. Round j to three dps.
0.001
Let k = -1.16 + 1.43. Round k to 2 decimal places.
0.27
Suppose -3*d - 2*u + u = -138, -5*d - 3*u = -226. Let m = -4 + 6. Let f be d + 2 + m/(-1). Round f to the nearest 10.
50
Let o = -0.42 + 0.4203. What is o rounded to three dps?
0
Let k = -29 - 34. Let m = 28288 + -28350.892. Let w = k - m. What is w rounded to two dps?
-0.11
Let f(u) = -107167*u**3 - 3*u**2 - 2*u - 3. Let n be f(-2). Let s = n + -1487325. Round s to the nearest one hundred thousand.
-600000
Let n = -18.038 + 18. Let k = -14128.962092 - -14129. Let d = n + k. What is d rounded to 5 dps?
-0.00009
Let p = 12 + 6. Let a = p - -2. Suppose 0*s + 17975 = 3*s + 5*b, -a = 4*b. Round s to the nearest one thousand.
6000
Let b = -0.2 - -0.2. Let n = 0 + b. Let p = n - -0.04. What is p rounded to 1 decimal place?
0
Let l = 1.323371 - 312.374971. Let f = -311 - l. Let t = 0.06 - f. Round t to 3 decimal places.
0.008
Let u(c) = c**3 + 2*c**2 - 1. Let a be u(1). Suppose 0 = -6*l + a*l - 54800000. Round l to the nearest one million.
-14000000
Let r = -18889549.000033 - -18889490. Let b = -59 - r. What is b rounded to 5 dps?
0.00003
Let l = 0.12 - 6.12. Let g = 6.28 + -12.236. Let i = l - g. What is i rounded to 2 dps?
-0.04
Let j be (0 + -34)*(325 + -25). Round j to the nearest ten thousand.
-10000
Let f(n) be the second derivative of -n**3 + 3*n + 0 + 0*n**2 + 1109/20*n**5 + 1/4*n**4. Let r be f(4). Round r to the nearest ten thousand.
70000
Let u = -480.9999773 - -481. Round u to 5 dps.
0.00002
Let c be (3/(-5))/((-1)/5). Suppose c*k + 0 + 3 = 0. Let x be (0 - 50/k)*-140. What is x rounded to the nearest one thousand?
-7000
Suppose -5*x + 2*x = -21. Let a(j) = 20*j. Let z be a(x). What is z rounded to the nearest one hundred?
100
Let b = -1223.00088 + 1229. Let s = -6 + b. What is s rounded to four dps?
-0.0009
Let q(g) = 6*g - 2. Let b be q(1). Let o be (214 - 2)*625*b. What is o rounded to the nearest 100000?
500000
Let d = -2088983 + 1450359. Let v = d + 418927. Let c be v*(3 - -63) + 2. Round c to the nearest 1000000.
-15000000
Let g(m) = 63*m**3 - 5*m**2 + m + 5. Suppose 4*t + 4*n = n - 15, 3*t - 2*n = -7. Let c(f) = 3*f + 4. Let v be c(t). Let j be g(v). Round j to the nearest 10000.
-10000
Let g = 0.41 - 0.01. Let b = 0.2 - g. Let w = b - -0.2008. What is w rounded to 3 dps?
0.001
Let o = 8 + -8.00006. Round o to five dps.
-0.00006
Let n be (-49176)/33 + 4/22. Round n to the nearest 100.
-1500
Let a = 0.15 + 7.85. Let x = a + -7.9999982. Round x to six dps.
0.000002
Suppose 3*s + 2*l = -s + 10400008, -5199996 = -2*s + l. What is s rounded to the nearest 1000000?
3000000
Let o = 32 + -21. Let b = -2 + o. Let r = -9.0068 + b. What is r rounded to 3 decimal places?
-0.007
Let p = 562.473 + -562. What is p rounded to two decimal places?
0.47
Let k = -25952 - -14852. What is k rounded to the nearest one thousand?
-11000
Suppose 50998290 = 3*d + 2*d. Let a be (-3 - -6) + (-7399322)/2. Let u = d + a. Round u to the nearest 1000000.
7000000
Let u = -48139.7100012 - -48139.8. Let o = 0.09 - u. What is o rounded to six dps?
0.000001
Let n be 14/4 - (-3)/6. Suppose -2*u = -y + 5100006, -5*y - u + 25500009 = -n*u. What is y rounded to the nearest 1000000?
5000000
Let m(a) = 2*a**2 + 2*a - 6. Let o be m(7). Let u be (924/(-8))/ | {
"pile_set_name": "DM Mathematics"
} |
d 2 r when four letters picked without replacement from {t: 7, l: 1, a: 2, r: 4, f: 6}.
12/1615
What is prob of picking 2 y when two letters picked without replacement from uyyu?
1/6
Four letters picked without replacement from {f: 7, y: 5, z: 8}. What is prob of picking 1 z and 3 f?
56/969
What is prob of picking 1 r and 1 s when two letters picked without replacement from {s: 1, x: 2, y: 1, r: 3}?
1/7
Two letters picked without replacement from otohhoooooqooq. Give prob of picking 1 o and 1 h.
18/91
Two letters picked without replacement from {l: 14, k: 1, s: 1}. What is prob of picking 1 k and 1 l?
7/60
Calculate prob of picking 2 a and 1 q when three letters picked without replacement from apaapuaapqaanaavaa.
55/816
What is prob of picking 1 m and 1 c when two letters picked without replacement from fmmmtsffcftl?
1/22
Two letters picked without replacement from {l: 1, n: 2, c: 1, y: 1, m: 2, x: 1}. What is prob of picking 1 c and 1 y?
1/28
Two letters picked without replacement from {k: 1, v: 1, e: 2, a: 1, n: 1, z: 2}. Give prob of picking 1 n and 1 z.
1/14
What is prob of picking 1 z and 1 s when two letters picked without replacement from iszcciizzc?
1/15
What is prob of picking 2 g and 1 i when three letters picked without replacement from fgmfgfiffmggflz?
6/455
Two letters picked without replacement from wxwwxww. Give prob of picking 1 w and 1 x.
10/21
Calculate prob of picking 2 v when two letters picked without replacement from {f: 1, h: 12, v: 3}.
1/40
Calculate prob of picking 3 w and 1 n when four letters picked without replacement from {z: 3, n: 1, w: 3}.
1/35
Two letters picked without replacement from {n: 8, i: 2, m: 2, o: 2}. What is prob of picking 2 n?
4/13
Two letters picked without replacement from {v: 4, k: 9, y: 3, d: 4}. Give prob of picking 1 y and 1 v.
6/95
Two letters picked without replacement from {l: 1, s: 1, y: 4, m: 2}. What is prob of picking 1 y and 1 l?
1/7
Calculate prob of picking 1 l and 1 p when two letters picked without replacement from kkklkkkepkkelpppl.
3/34
Two letters picked without replacement from {q: 2, g: 1, a: 2, z: 1, b: 1, j: 1}. Give prob of picking 1 q and 1 g.
1/14
Four letters picked without replacement from bffffbbbfbbfb. What is prob of picking 4 f?
3/143
Calculate prob of picking 1 d and 1 b when two letters picked without replacement from wwbddwbwbbbdb.
3/13
Two letters picked without replacement from {m: 4, u: 2}. Give prob of picking 1 m and 1 u.
8/15
Calculate prob of picking 2 s when two letters picked without replacement from {t: 3, z: 2, f: 2, c: 1, s: 4, v: 6}.
2/51
Calculate prob of picking 2 d when two letters picked without replacement from pddpdddddpdddd.
55/91
What is prob of picking 1 y and 1 v when two letters picked without replacement from {y: 3, v: 4}?
4/7
Two letters picked without replacement from jjjjjjpjpjjppj. What is prob of picking 1 p and 1 j?
40/91
Three letters picked without replacement from {u: 2, i: 1}. Give prob of picking 3 i.
0
Calculate prob of picking 2 n and 1 w when three letters picked without replacement from wfnnf.
1/10
What is prob of picking 4 m when four letters picked without replacement from {g: 7, m: 7}?
5/143
What is prob of picking 1 n and 1 i when two letters picked without replacement from ininnqqinniiii?
5/13
Four letters picked without replacement from yoonxnxnxngnyynnxog. What is prob of picking 1 o, 2 x, and 1 n?
21/646
Four letters picked without replacement from ruqpqmmpssprsm. What is prob of picking 2 s and 2 q?
3/1001
Four letters picked without replacement from mamam. Give prob of picking 1 a and 3 m.
2/5
Calculate prob of picking 3 w when three letters picked without replacement from wnwywdy.
1/35
Calculate prob of picking 1 h and 1 i when two letters picked without replacement from ihhqgpg.
2/21
Calculate prob of picking 3 e when three letters picked without replacement from {k: 4, e: 4, h: 2, s: 2, o: 1, v: 2}.
4/455
What is prob of picking 3 i when three letters picked without replacement from {x: 5, i: 7}?
7/44
What is prob of picking 1 y, 1 l, and 1 f when three letters picked without replacement from {y: 2, a: 1, f: 5, l: 8, x: 3}?
80/969
Four letters picked without replacement from xiiiiiiiiiiixx. Give prob of picking 4 i.
30/91
Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {t: 1, v: 1, f: 1, k: 5, c: 6}.
5/91
Four letters picked without replacement from sssoosos. What is prob of picking 1 o and 3 s?
3/7
Calculate prob of picking 2 d and 2 s when four letters picked without replacement from {p: 1, d: 3, h: 1, s: 2}.
3/35
What is prob of picking 2 n and 2 b when four letters picked without replacement from nnbbn?
3/5
Two letters picked without replacement from {s: 2, t: 5, j: 2, k: 2, r: 1, q: 5}. Give prob of picking 2 j.
1/136
Three letters picked without replacement from ufkmffk. Give prob of picking 1 m, 1 k, and 1 u.
2/35
Two letters picked without replacement from plllglglgf. What is prob of picking 1 p and 1 f?
1/45
Three letters picked without replacement from vrouuvuuuuuo. Give prob of picking 1 u, 1 v, and 1 r.
7/110
What is prob of picking 1 d and 1 o when two letters picked without replacement from fjjddfjoddoedd?
12/91
Two letters picked without replacement from {q: 1, b: 1, x: 1}. What is prob of picking 1 x and 1 q?
1/3
Two letters picked without replacement from eeotottofeeototo. What is prob of picking 1 e and 1 t?
1/6
Three letters picked without replacement from {g: 2, b: 3, j: 8, a: 6}. Give prob of picking 3 j.
56/969
What is prob of picking 3 c when three letters picked without replacement from ccscsscsccsccccccc?
143/408
Three letters picked without replacement from {h: 1, q: 2, c: 2, l: 1, k: 1, i: 1}. What is prob of picking 1 h, 1 q, and 1 c?
1/14
Calculate prob of picking 1 l and 1 v when two letters picked without replacement from {r: 1, v: 3, d: 2, i: 2, l: 5, b: 6}.
5/57
Two letters picked without replacement from nnddn. What is prob of picking 2 n?
3/10
What is prob of picking 2 y when two letters picked without replacement from {y: 10}?
1
Two letters picked without replacement from {g: 1, q: 1, b: 1}. What is prob of picking 2 q?
0
Four letters picked without replacement from qwqjbddqbbqwqbq. Give prob of picking 1 b, 2 q, and 1 d.
8/91
What is prob of picking 1 i and 2 l when three letters picked without replacement from {i: 1, l: 19}?
3/20
Three letters picked without replacement from iibbbbbwibibibbwii. Give prob of picking 2 b and 1 w.
3/34
Four letters picked without replacement from czzzcczzccccczcz. What is prob of picking 1 z and 3 c?
21/65
Four letters picked without replacement from {x: 9, j: 6, t: 2}. What is prob of picking 3 j and 1 x?
9/119
What is prob of picking 1 k and 2 t when three letters picked without replacement from tkktkttkktkkkkkk?
11/56
What is prob of picking 1 m, 1 x, 1 y, and 1 l when four letters picked without replacement from {x: 2, l: 2, y: 5, p: 2, v: 1, m: 1}?
4/143
Three letters picked without replacement from {w: 2, b: 1, d: 2, r: 1, j: 1, s: 2}. What is prob of picking 1 d, 1 w, and 1 j?
1/21
What is prob of picking 2 m and 1 g when three letters picked without replacement from {c: 1, g: 4, o: 2, m: 4, i: 7}?
1/34
What is prob of picking 1 x and 2 t when three letters picked without replacement from {g: 1, f: 6, t: 7, x: 4}?
7/68
Calculate prob of picking 2 s when two letters picked without replacement from tttttttstttttttttsst.
3/190
Calculate prob of picking 2 v and 1 x when three letters picked without replacement from rqhxqvrv.
1/56
Three letters picked without replacement from {d: 10, g: 1, s: 2, w: 1, x: 5, b: 1}. What is prob of picking 1 d, 1 g, and 1 s?
1/57
Two letters picked without replacement from {s: 1, z: 6, f: 2, h: 1, t: 5}. Give prob of picking 1 f and 1 z.
4/35
What is prob of picking 1 w and 1 l when two letters picked without replacement from hxlxxxxwl?
1/18
Four letters picked without replacement from ududuumhmmououuuh. What is prob of picking 1 o, 1 d, 1 h, and 1 m?
6/595
Two letters picked without replacement from dvvnnnnttnyv. What is prob of picking 1 v and 1 d?
1/22
Four letters picked without replacement from ahahhahhhhhhah. Give prob of picking 4 h.
30/143
Calculate prob of | {
"pile_set_name": "DM Mathematics"
} |
se
Does 22 divide 106/(8/6*177/12626)?
False
Let o(r) be the third derivative of 11*r**5/60 + r**4/6 + 5*r**3/6 - r**2. Let i be (-237)/81 - ((-4)/(-22) - 640/5940). Is o(i) a multiple of 19?
False
Let j(y) = -y**2 - 6*y - 8. Let m be (-296)/36 - -5 - 4/(-18). Let v be j(m). Is 13 a factor of (25 - 26)/(v/(-169))?
True
Let s(w) = 63*w**2 - 8*w + 4. Let d be s(-4). Suppose -2*f + d = -2*q, 4*q + 8 = -8. Is f a multiple of 58?
False
Let i = 246 + -138. Let q = 58 - i. Let z = -41 - q. Does 4 divide z?
False
Suppose 0 = -79*o + 76*o + 1089. Suppose 4*f - 2*m - 1446 = 0, -3*f + 1444 - o = -5*m. Is f a multiple of 26?
False
Let z(b) = b**2 + 13*b - 10. Let i be z(5). Let p = -47 + i. Suppose 0 = -30*v + p*v - 216. Does 10 divide v?
False
Suppose -13*g - 8*g + 42628 = -37004. Does 12 divide g?
True
Suppose -1 = 5*q - 11. Let t be (-19)/(-2) + (-7)/2. Is 7 a factor of ((-2680)/t)/(-4) + q/6?
True
Let z be (6/(-2))/((-3)/225). Suppose 19*o + 13*o = -0*o. Suppose o*g = -3*g + z. Is g a multiple of 8?
False
Let j(r) = -2*r + 97. Let w(n) = -n + 65. Suppose -10*i = -7*i - 15. Let k(x) = i*j(x) - 8*w(x). Is 2 a factor of k(-23)?
False
Let m(r) = -540*r + 3994. Does 14 divide m(-66)?
True
Is (8/40 + 7 - 0)*390 a multiple of 54?
True
Let t(b) = 67*b - 13 + 35*b - 7*b + 9 - 13. Is t(3) a multiple of 9?
False
Let n = -151 - -71. Let i = n - -122. Suppose 2*b - 4*b + i = 0. Is 4 a factor of b?
False
Let w(i) = 2*i**3 - 16*i**2 - 46*i + 411. Is 2 a factor of w(13)?
False
Suppose -2*k - 5 = -3*r, 2 = -5*k + 5*r - 3. Let z(v) = -129*v - 14. Let a be z(-1). Suppose 3*o - k*l + 107 = 4*o, -o = 4*l - a. Is o a multiple of 15?
False
Let w be 1*(6 + -5)*(1 - 1012). Let x be ((-24)/(-2))/(1 + 1017/w). Is 1 + x/(-11) - 4/(-22) a multiple of 37?
True
Suppose 0 = 2*a + 3*c + 27 - 33, -4*a + 5*c = -34. Does 20 divide (1274/21 + 6)/(2/a)?
True
Let x = 31305 - 8877. Is x a multiple of 36?
True
Suppose 1024*b - 336*b = 22777616. Does 7 divide b?
False
Suppose 9*m - 4*s = 83395, -15*m + 2*s = -12*m - 27803. Does 32 divide m?
False
Suppose -10 - 104 = 3*o + 3*s, -3*o + 4*s - 142 = 0. Let l be (-4)/6*o/4. Does 27 divide l/((-21)/(-12)) + 114?
False
Suppose -5*y - 2*o + 2477 = 0, 3*o = 2*y - 636 - 351. Suppose 5*d - p + 6*p = -825, 3*d = -4*p - y. Let z = d - -285. Is z a multiple of 20?
True
Is 43 a factor of (-9 - 1) + 5270 + 145?
False
Suppose -239 = -10*p + 11. Is p/(-2)*((-108)/30 - 6) a multiple of 12?
True
Let r = 142 - 137. Suppose -f + 3*j = -9, f + 3*j + 4 = -r. Suppose -2*t - c + 470 = t, -c + 2 = f. Is t a multiple of 26?
True
Let q be (-480)/(-20)*(-12)/32. Let l(v) = -v**2 + 3*v + 3. Let u be l(4). Is (-114)/u - (q + 5) a multiple of 16?
False
Let o = 900 - -199. Is 16 a factor of o?
False
Suppose -11*z - 20312 = -171958. Is z a multiple of 226?
True
Let j(d) = d**2 + 12*d + 1551. Does 14 divide j(-65)?
False
Suppose 4*u - 5*s = 2*u + 90, 0 = 4*u - 5*s - 200. Let t = 54 - u. Does 35 divide 2 - 2 - (-174 + t)?
True
Let q be 1*1*(0 + -1). Is 27 a factor of (423/(-188))/(q*2/240)?
True
Suppose -5*s + 30 = 4*h, -4*s + 0 = -3*h + 7. Suppose 0 = 5*t - 2*k, -2 = -h*t + k + 3. Is 109 + (10/t - 4) a multiple of 17?
False
Let n(o) = 7*o + 13. Let y(z) = -z + 12 + 10*z - z. Let f(v) = 7*n(v) - 6*y(v). Is f(9) a multiple of 7?
True
Let y(m) be the second derivative of m**7/2520 - m**6/240 - 13*m**5/120 - m**4/4 + 21*m. Let h(n) be the third derivative of y(n). Does 20 divide h(-9)?
False
Suppose 12*z - 13*z = -4505. Let o = z + -2852. Does 49 divide o?
False
Suppose m = -9*m - 70. Is 2280/4 + (-1 - m) a multiple of 38?
False
Let u(n) be the third derivative of -n**6/120 + 2*n**5/15 + 3*n**4/4 + 6*n**3 + 8*n**2 + 9*n. Is u(10) a multiple of 10?
False
Suppose -32 - 13 = -9*m. Suppose -t + 15*q = 20*q - 80, 0 = 5*t - m*q - 460. Does 8 divide t?
False
Let g(l) = 16*l**2 + 177*l + 64. Is 48 a factor of g(-37)?
False
Let u(n) = -7*n + 230. Let t be u(30). Suppose t*v + 4*v = 6504. Is v a multiple of 5?
False
Let x(y) be the third derivative of y**6/120 - 3*y**5/20 - y**4/2 + 9*y**3/2 + 13*y**2. Let w be x(10). Let o(c) = c**2 - 4*c + 13. Is 10 a factor of o(w)?
False
Let b(r) = 3*r**2 + 54*r + 39. Let g be b(-17). Let u(p) = 9*p + 130. Is 22 a factor of u(g)?
True
Let z(q) = -128*q - 122. Is z(-10) a multiple of 34?
False
Suppose -2*p + 3217 = -n + 2*n, 0 = -p - 5*n + 1631. Suppose 43*w - 32*w = p. Is w a multiple of 12?
False
Suppose -6*a = -23*a + 64243. Is a a multiple of 110?
False
Let j be (84/(-147))/((-1)/7). Let n be 0 + j + 0 + -21. Let z = n - -51. Is 17 a factor of z?
True
Let h = -1183 + 1954. Let a = h - 679. Is 10 a factor of a?
False
Suppose 5*q - 66 = 409. Let c = q - 40. Suppose -245 = m - 4*m + z, m = -5*z + c. Is 16 a factor of m?
True
Suppose -36*h + 39672 = -18*h. Does 130 divide h?
False
Suppose -60*b + 4380 = 60*b - 110*b. Does 6 divide b?
True
Let r(k) = -k + 1. Let w(y) = -2*y - 44. Let l(p) = 5*r(p) + w(p). Suppose 51*s + 156 = 39*s. Is 13 a factor of l(s)?
True
Let p(r) = 5*r**3 + 9*r**2 + 2*r - 10. Let g(m) = 6*m**3 + 8*m**2 + 3*m - 9. Let i(l) = 4*g(l) - 5*p(l). Does 24 divide i(-14)?
False
Let r(l) = -15 + 11*l**2 - l + 3*l**2 - l**2 - 9*l**2. Is 35 a factor of r(8)?
False
Does 9 divide (-5*126/27)/((-4)/144*3)?
False
Let n = 312 - 310. Suppose -n*x + 255 = 5*t, -5*x - 366 = -8*x - 2*t. Is 20 a factor of x?
True
Suppose -156*k + 303*k + 31328 = 158*k. Does 38 divide k?
False
Let y(h) = 2*h**2 - 55*h + 452. Does 10 divide y(-52)?
True
Does 12 divide (-219*4)/((-2478)/(-140) - 18)?
False
Let m be (-805)/15 - (-3)/18*-2. Let g = 54 + m. Suppose g = -d + 2*l + 28 - 2, 3*d = -2*l + 46. Is d a multiple of 3?
True
Let j be (2 + 3/(-3))*2. Suppose 0 = 27*r - 17*r - 20. Suppose -6 - r = -j*l. Is 2 a factor of l?
True
Suppose 186*o + 403*o - 2829430 = 332322. Is o a multiple of 11?
True
Suppose -90*u - 40*u + 61100 = 0. Is 10 a factor of u?
True
Let i(f) = -f**3 + 10*f**2 - 3*f + 180. Is i(-12) a multiple of 44?
False
Let a = -1250 + 2078. Is a a multiple of 36?
True
Let k(p) = p**3 - 3*p + 3. Let z be k(2). Suppose 0 = 73*x + 7 - 1978. Suppose -48 - x = -z*m. Is m a multiple of 3?
True
Let x = 171699 - 114308. Is 262 a factor of x?
False
Suppose -3*t + 19616 = -4*q, -5*q = 3*t - 11537 - 8061. Does 86 divide t?
True
Let p(u) = -250*u + 4851. Is p(-7) a multiple of 28?
False
Suppose 4*a - 7520 = -d, -747*a + 744*a - 5*d + 5623 = 0. Does 33 divide a?
True
Suppose 5*k - 403 = 3*w - 5559, -2*w = 2*k - 3464. Is 5 a factor of w?
False
Let u = -77 - -79. Suppose w + 22 = -4*q, -14 = 2*w + u*q - 0. Does 14 divide ((-721)/(-28) - w/8)*7?
True
Suppose 0 = -3*f + 2*m + 507, 228 = 2*f + 2*m - 120. Let q = 7 + f. Does 89 divide q?
True
Let x(c) = 1745*c**2 + 276*c - 1324. Is 19 a factor of x(5)?
True
Suppose -20*g = -13*g + 644. Let d = 129 + g. Suppose -3*s + 0 - d = -5*c, -2*s = -4*c + 30. Is c a multiple of 5?
False
Let o(d) = -73*d - 4. Does 46 divide o(-17)?
False
Suppose -4*w + 4*c = -108, -4*w + 3*c + 129 = w. Suppose -19 = j - w. Suppose 3*y + 240 = j*y. Is 20 a factor of y?
True
Let b = -646 + 8808. Does 36 divide b?
False
Let o = -23 - -26. Suppose -4*h - o + 15 = 0. Suppose 2*z = 3*w + 48, h*z + w = -0*z + 94. Does 6 divide z?
True
Let z = -394 + 2253. Is 18 a factor of z?
False
Let a(n) = 2983*n - 13051. Is 7 a factor of a(10)?
True
Let j(y) be the first derivative of 2*y**3/3 - 21*y**2/2 + 5*y + 1. Let w be j(15). Suppose 60*t - 55*t = w. Does 7 divide t?
True
Suppose y + 257 = 897. Suppose 0 = -5*n + 2*a + y, -256 = -0*n - 2*n + 2*a. Is 64 a factor of n?
True
Does 17 divide 16/(-24) - 240388/(-114)?
True
Is ((-52)/182 - (-2)/(-7)) + (-964026)/(-343) a multiple of 8?
False
Suppose 4*l = 470 + 1106. Suppose -l = -2*q + 566. Is 9 a factor of q?
False
Let o(h) = -148*h. Suppose -173*j + 45 = -178*j. Is o(j) a multiple of 74?
True
Let s(f) = f**3 + 73*f**2 - 280*f - 88. Does 42 divide s(-76)?
True
Suppose 0 = -3*n + 3, 5*q - 6*q = -2*n - 1. Let p be 93/q + (1 + -3 - 0). Suppose 0 = 31*z - p*z - 266. Is z a multiple of 27?
False
Suppose -23 = -2*l - 2*l + 3*m, -3*m - 28 = -5*l. Suppose -l*c = -c - 1368. Does 47 divide c?
False
Let n = 12474 - 9988. Is 19 a factor of n?
False
Let b = -98 - -38. Let j = -55 - b. Suppose 2*t + j*p = 3*t - 82, 5*t - 5*p - 490 = 0. Is | {
"pile_set_name": "DM Mathematics"
} |
*p - 2*u for p.
5
Solve 36 = -3*y + 19*o - 13*o, -5*y = 5*o - 16 + 31 for y.
-6
Solve -94 = -4*q - 2*m, -2556*q + 20*m - 142 = -2558*q for q.
21
Solve -3*u = -5*o - 59, -10*u + 440 = -o + 400 for u.
3
Solve -18 = -3*t - 4*r, r + 13 + 10 = 2*t + 11 for t.
6
Solve 387*f - 382*f - w = 11, f + 47*w + 45 = 0 for f.
2
Solve b - 1411*g = -1413*g, 3*b - 2 = -4*g for b.
2
Solve -2*n + 4 + 30 = 4*a, 0*a + 293*n = -0*a - 1717 + 3182 for a.
6
Solve 8*m + 6*o = 3*o - 212, 80*o - 6 = 2*m + 69*o for m.
-25
Solve 9*k - 186 = o + 233, 0*o + 5*o = -5*k + 205 for k.
46
Solve a = -q + 13, 4*q + 2273935*a - 2273930*a - 57 = 0 for q.
8
Solve 3*u = -a - 39 + 27, -49 = -3*a + 8*u for a.
3
Solve -2*r - 2 = -5*k, -49*r - 120*r + 581 = -k - 104*r for k.
4
Solve -4*p + 61 = 3*g, -4089*g + 8177*g - 4090*g = 2*p - 40 for p.
1
Solve g - 57*q = 345, 4*q - 250 = 3*g - 283 for g.
3
Solve 4*b - 4*k - 24 = 0, -345*k = -349*k + 4 for b.
7
Solve n = 5, 2*a - 137442*n + 18 = -137438*n for a.
1
Solve -k + 122 - 21 = 23*f - 9 - 0, 2*k = -f - 5 for f.
5
Solve -43*a - 5*o = -66, -9 - 5 + 4 = -3*a + o for a.
2
Solve 92 = -2*w - 2*w - 4*h, 4*w + 74 - 3 - 14 = 3*h for w.
-18
Solve 2*m + 1432 = s - 2*m + 1404, 0 = -2*s + 6*s - 2*m - 28 for s.
4
Solve 0 = -2*n - 3*g + 9 - 20, -2*n - 2*n - 17*g = 16 + 39 for n.
-1
Solve -3*d + 3749646*c + 4 = 3749642*c, -5*d + 4*c + 20 = 0 for d.
8
Solve 2*h - 17 = 7*h - 8*j - j, 14*j = -16 + 58 for h.
2
Solve z - 49 = 7*g - 0, 0 = -5*z - 10*g + 13*g + 117 for z.
21
Solve -7 = 4037*m - 4032*m + 4*x, -5*x - 11 = 4*m for m.
1
Solve -12*l - 36 = -4*z, 593*l - 293*l + 3*z = 305*l + 19 for l.
-2
Solve -5*i + 322*q - 335*q - 33 = 0, -4*i + 13*q = 11*q + 14 for i.
-4
Solve 5*o + 2*a - 24 = o, 0*o = o - 3*a + 64 for o.
-4
Solve d - 2 = 4*p - 10, 549*p - 554*p - 5*d = 140 for p.
-4
Solve 0 = g + m + 1, -316 + 313 = 3*g - m for g.
-1
Solve 5*u + 664 - 622 = 4*r, u - 3*r - 199 + 213 = 6*u for u.
-2
Solve 2*o + 3*w + 73 = 2*w - 66, 0 = 6*o + w + 427 for o.
-72
Solve -w - 6 = 1807080*d - 1807079*d, 44*w = 3*d + 206 for d.
-10
Solve 2*h + 127 = 2*u - 3*h, 382*u - 378*u - 3*h = 261 for u.
66
Solve -8*q = -3*m - 6, 4*q - 8*q + 24 - 4 = 8 for m.
6
Solve 104 = -177300*j + 177304*j + 4*k, 5*j + k - 26 = 0 for j.
0
Solve -2*p - 46 = v, -6*p + 4*v = 430848 - 430962 for p.
-5
Solve 0 = 5*l - 2*h, 9622*h - 9437*h = -2*l + 1858 for l.
4
Solve -5*o + 115 = 3*x + 2*x, 2*o + 53*x - 103*x + 49*x - 13 = 21 for o.
19
Solve -2*w + w - 4*c - 70 = 0, -307*c - 317*c = w - 636*c - 202 for w.
-2
Solve -10340*r + 10343*r = -4*a - 7, -3*r + 29 = -5*a for a.
-4
Solve -2*g - 30793 = 12*y - 30715, 4*g + 23 = -5*y for y.
-7
Solve -2*m - 4*w - 72 = 0, 9409*m - 108 = 9412*m + 5*w for m.
-36
Solve 548*f - 553*f + 21 = -3*z, 3*f = 2*z + 13 for z.
-2
Solve -2*q - 1891*i = -1888*i + 58, -3*i - 70 = -q for q.
4
Solve -3*w = -316*i + 315*i - 26, -11*w + 4*i + 97 = 0 for w.
7
Solve 4*v = -10*b + 5*b + 18, -148*v - 151*v = -9*b + 145*v - 442*v + 14 for b.
2
Solve 11300121*z - 11300090*z - 2*m = -122, 0 = -2*z + 2*m - 6 for z.
-4
Solve 2306*w - 2319*w = 3*z + 41, -3*w - 4*z - 22 = -2*w for w.
-2
Solve 3*v - 15*u = -11*u + 8*u - 132, -21*v = -5*u + 101 + 33 for v.
-4
Solve -2*u + 4 = 3*s, 5*u = 350*s - 424*s + 143 for s.
2
Solve -4*p - 94*u - 99 = -95*u - 73, -5*u + 58 = -2*p for p.
-4
Solve -4*h - 57*u + 52*u = 66, 6*h + u = -34 for h.
-4
Solve -1056*w = -1058*w + 4*q - 40, -w = 60*q - 538 for w.
-2
Solve 71*k - 5*g - 66 = 0, 3*k = 2*g - 666 + 667 for k.
1
Solve 5*u = -2*y - 4*u + 89, 0 = -y - 3*u - 146 + 334 - 157 for y.
4
Solve -8*p + 189 = -3*p - 23*a, 188*p = 189*p + a + 7 for p.
1
Solve -3*x + j - 55 = 5*j, -27*j - 21*j = -4*x - 49*j - 30 for x.
-5
Solve 0 = 5*z - 2*j + 114, -5*z - 2212*j - 123 = -2211*j for z.
-24
Solve -f + 4*q - 72 = -5*f, -37283*f + 37278*f = -2*q - 104 for f.
20
Solve -2*r - 1120*u + 48 = -1124*u, -7*r + u + 150 = 5*u for r.
22
Solve 4*a = 90*p - 94*p - 52, -14 = 2*a - 2*p for a.
-10
Solve 0 = -16*r - 4*g - 164, -4*r - 32*g + 70*g - 34*g + 104 = 0 for r.
-3
Solve 81*l + 44 = q, 71 = 4*q + 4*l - 105 for q.
44
Solve -7*q + 4 = 4*w + 75, -35 = 4*q - 5*w + 42 for q.
-13
Solve -11*p - 3*l - 15 = -7*p - 6, -27 = -3*p + 9*l for p.
0
Solve 6*p - 5*p = 5*b - 0*b + 21, 0 = 4*b + 3*p + 32 for b.
-5
Solve -16*q = 4*w + 12, 0 = q - 2*w - 249 + 497 - 245 for q.
-1
Solve 67*u - 39*u + 387 = -5*d, 0 = -3*d + u + 17 for d.
1
Solve -2*h + 80 = 4*m, -23*h + 7 = -21*h - 2*m + 35 for h.
4
Solve z - 29*k = -43, -94*z + 98*z - 3*k = -285 for z.
-72
Solve 0 = -4*j - 5*u + 2077 - 2024, 3*u = -2*j + 25 for j.
17
Solve -b - o + 3*o = -30, -2*b + 2*o = -252 + 222 for b.
0
Solve -17*m + 3*v - 33 = 148, -14291*m + 14293*m + v + 24 = 0 for m.
-11
Solve -744*a + 8 = 4*w - 742*a, 9*w = 4*a - 84 for w.
-4
Solve -3*s = 4*i + 90, -40042*s - 116 = 5*i - 40040*s for i.
-24
Solve -3*q + 7*q + 9 + 18 = -449*s + 448*s, 4 = s + 11 for q.
-5
Solve 4*t = t - 3*x + 12, 318*x + 2 = t + 321*x - 8 for t.
1
Solve 81 - 11 + 41 = -25*k + 3*r + 3, -5382*k + 5388*k - 4*r + 62 = 0 for k.
-3
Solve 42859 = 4*k - i + 42816, -8*k + 92 = 4*i for k.
11
Solve 0 = -3911*l + 3909*l + 2*p + 20, 0 = -4*l - 2*p + 10 for l.
5
Solve -17 - 11 = 4*r + 4*c, 280*r + c + 19 = 275*r for r.
-3
Solve 28*v - 4*m = 9*v + 15*v + 116, 44*m = -v + 164 for v.
32
Solve -10*q + 2*j = -10*q + 6, -5*j + 50 = -7*q for q.
-5
Solve 3*m + 75*z - 246 - 1398 = -0, 5*z = -72*m + 69*m + 104 for m.
-2
Solve -5*y - 3*x + 8*x - 13 = -68, -87 = -5*y - 3*x for y.
15
Solve 340 = -22012*l + 22013*l + 23*w, 0 = 18*l + 2*w + 60 for l.
-5
Solve 5*w = i + 109, -130 = 22*i + 8255*w - 8257*w for i.
-4
Solve -71328*p + 71326*p + 109 - 14 = 3*m, -5*p = 5*m - 155 for m.
33
Solve 2603675*l = 2603677*l - 63*o - 179, -2*o = 2*l + 16 for l.
-5
Solve 4*c + 10 = -c, -2*h - 1692 - 1708 = 5*c - 3380 for h.
-5
Solve -5*v - 6*z = -61, -61*z + 59*z = -2 for v.
11
Solve -4*s + 11*d = 14*d + 18 + 27, 31*d + 465 = -3*s for s.
0
Solve -2*m - 376 = 3*j - 788 + 361, 0 + 3 = -7*j - 4 for m.
27
Solve -31*w - 133 = -3*p, w + 2*p - 7*p + 0*p + 10 = -3*p for w.
-4
Solve 3*h - 8 - 22 = -v - 2*v - 6 - 9, 0 = 3*v - 9 for h.
2
Solve -3*q - 4*l + 364 = -361 + 728, 22*q + l + 4 = 18*q for q.
-1
Solve -a + 71 = 3*n + 62, 0 = -a - 13*n + 18*n + 17 for a.
12
Solve w - 10*b + 30389 = 30928, 3*w - 159 = 3*b for w.
-1
Solve -8*i - 4*l + 393 - 104 = 111 + 126, 2*i - 3*l = -7 for i.
4
Solve -3*c + 139 = 35*k - 433, 0 = 5*k - 0*c - 4*c - 64 for k.
16
Solve 38 = -z + 19*v - 153, 6*v = 6*z + v + 4*v + 16 for z.
-1
Solve -49*t = -1137*h + 1137*h - 53*t + 8, -5*t + 14 = -4*h for h.
-1
Solve 4*x = -4*n - 36, 0 = 82*x - 85*x + 9*n + 129 for x.
4
Solve -19*k - 3*u + 107 = -14*k, -1480*k = -1484*k - 4*u + 92 for k.
19
Solve -3*b - 1610 = 5*i - 1547, -2*i - 8*b = -2 for i.
-15
Solve 0 = -2*c - r - 8, -5788 = -5*c - 4*r - 5814 for c.
-2
Solve -4*m - 10*d = -8*d - 4*d - 180, 0 = -25*m + 2*d + 285 for m.
5
Solve 4*s - 2454 = -323*r - 8369 - 3230 - 5055, 3*r = 4*s - 144 for r.
-44
Solve 0 = -3*u - 4*k + 71, 0 = -3*u - 1367*k + 1371*k + 55 for u.
21
Solve p = 2*z - 105, 5*z - 5*p = -181727 + 181982 for z.
54
Solve -l - 5*r - 7*r + 10*r = 52, 44 = -5*l - 2*r for l.
2
Solve -19*h = -8*h - h - 5*b - 55, 0 = 2*h + 3*b + 39 + 26 for h.
-4
Solve 0 = 5*d - 8*x + 16*x - 3*x + 75, -295*x - 60 = 4*d for d.
-15
Solve -6*j + 5*l - 37 = 0, 8*j - 4*l = 4*j + 858 - 886 for j.
-2
Solve -3*x - 237*u - 74 = -x - 232*u - 28, 7*x = 17*u + 184 for x.
2
Solve -54*j = -4*m + 50*j - 107*j - 25, 2*m + 4 = 4*m - 4*j for m.
-4
Solve -6634 = 5*n - 3*l - 6633, 5*n + 15 = 5*l for n.
4
Solve 308*w - 5*m + 60 = 306*w, -129 = 5*w - 2*m for w.
-25
Solve -9574*w + 4*z = -9531*w - 80, 0 = -3*w + z + 20 for w.
0
Solve 5*c = l + 34, 15*c - 21*c + 8*c = -2*c + 2*l + 32 for c.
6
Solve 12*c = 10*z + 60, 7*z - 2*z + 734*c = 737*c - 6 - 39 for z.
-12
Solve 0 = 14*m - 15*m - 3*p - 167 + 114, -6*m - 255 = -3*p for m.
-44
Solve 277*c = 5*b + 278*c - 24, -4*c = -6*b + 34 for b.
5
Solve 5*b - 4*g - g - 80 = 0, -33 = 8*b - 3*g - 171 for b.
18
Solve 35 = -5*b + m, 3*m - 27488 = 8*b - 27439 for b.
-8
Solve 37*d - 37*d - 20 = 4*y, 0 = 5*d + 9*y + 155 for d.
-22
Solve 88*u + 5*q = -166, u + 18*q - 4 = 8*q + 7*q for u.
-2
Solve i - 74 = -d - 90, 411 = 64*d + 91 for i.
-21
Solve 0 = -v - 11 | {
"pile_set_name": "DM Mathematics"
} |
*((3 - 3 + 2*p)*(-1 + 1 - 2*p) + 2*p**2 + 2 - 2).
-2*p**5
Expand (i - 1 - 1 + 5)*(-5*i - 3*i + i).
-7*i**2 - 21*i
Expand (3*t**3 + 2*t**3 - 7*t**3)*(-24 - t + 9 + 3*t) - 4*t**4 + t**4 + 2*t**4.
-5*t**4 + 30*t**3
Expand (-a**2 - 4*a**2 + 3*a**2)*(9 + 13 - 3).
-38*a**2
Expand (2 + 1 - 1)*(-b + 0*b + 3*b) - 6*b + 4*b + 3*b + (4*b - 3*b - 2*b)*(0 - 1 - 1) + 1 - 1 - b.
6*b
Expand 3*m - m**2 - 3*m + (0*m - 5*m + 3*m)*(0 + 0 - 3*m) - m**2 + 0*m**2 + 0*m**2.
4*m**2
Expand (0 - 1 + 3)*(-w + 9*w - 4*w)*(1 - 1 - 2*w)*(-4*w**2 - 7*w + 7*w).
64*w**4
Expand -5*q - 2*q**2 + 5*q + (1 + q**2 - 1)*(1 - 1 - 1) - q**2 + 15 - 29 + 10.
-4*q**2 - 4
Expand (0*f**2 + 0*f**2 - 2*f**2)*(3 + 3 - 1).
-10*f**2
Expand u**4 + u**2 - u**2 + 3*u**4 + 0*u**4 - 5*u**4 + (-1 + 1 + 2*u)*(-3*u**3 - 3*u**3 + 5*u**3).
-3*u**4
Expand (0*w**2 + 0*w**2 - 2*w**5)*(3 + 2 - 7)*(-1 + 3 - 6).
-16*w**5
Expand 3*j**3 - 1 + 1 + (-4*j + j - j)*(2*j**2 + j - j) + (-2 + 6 - 2)*(-j**3 + 2*j**3 - 3*j**3).
-9*j**3
Expand -c**2 + 0*c + 0*c + 2*c**2 - 5*c**2 + 4*c**2 + (5 - 2 - 1)*(-c**2 + 0*c**2 + 3*c**2) - 34 - c**2 + 2*c**2 + 36.
5*c**2 + 2
Expand 3*j**2 - 2*j**2 + j**2 + (-3 + 5 - 3)*(-2*j**2 - 2*j**2 + 5*j**2) - 2*j**2 + 3*j**2 + j**2 - j**2 + 0*j**2 + 3*j**2 - 3*j - 2*j**2 + 3*j.
3*j**2
Expand (5*p**2 - 6*p**2 + 7*p**2)*(-p**2 - 3*p**2 + 3*p**2 + (3*p - p - 6*p)*(-p + 5*p - 5*p)).
18*p**4
Expand (-2*z + 3*z - 2*z)*(5*z**3 - 27*z**2 + 27*z**2) - z**2 + z**2 + 3*z**4.
-2*z**4
Expand (-a + 2*a - 3*a)*(6*a - 11*a + 9*a)*(-2*a + 3*a - 2*a).
8*a**3
Expand -2*n**2 + 2*n**2 - 6*n**3 + (2*n - n - 2*n)*((3*n - n + n)*(-2*n - 3*n + 3*n) - n - n**2 + n).
n**3
Expand (0 + 4 - 6)*(0 - w + 0) + (-2 + 1 - 1 - 2 - 1 + 2 + (3 + 0 - 1)*(-1 + 1 - 1) + 0 - 2 + 0 - 3 + 2 + 0 - 3 + 0 + 2 + 1 + 1 - 4)*(-6 + 6 + 5*w).
-53*w
Expand (3 - 2 + 11)*(-x - 2*x + 5*x)*(x**2 + 2*x - 2*x).
24*x**3
Expand (b - 2 + 2)*(-3 - 1 + 0) - 7*b + 3*b + 2*b.
-6*b
Expand (2*z - 2*z + z)*(3*z**3 - 5*z**3 + 0*z**3) - 2*z**2 + 2*z**2 - 6*z**4 + 2*z**4 - 4*z**4 + z**4.
-9*z**4
Expand (-2 - 1 + 4)*(2 - 5 + 2)*(-121*t - 14*t**2 + 121*t).
14*t**2
Expand -2*o**3 - 2*o**3 + 7*o**5 - 6*o**5 + (2 - 2*o - 2)*(4 + o**4 - 4).
-o**5 - 4*o**3
Expand (-2*n**2 - 2*n**2 + 2*n**2)*(2 - 2 - 2*n**3) - 7*n**5 + 43*n**5 + 16*n**5.
56*n**5
Expand (a**2 + 0*a**2 + a**2)*(157 + 17*a**2 - 157) - a**4 + 0*a**4 + 2*a**4 + (0 + 2*a**2 + 0)*(0*a**2 + a**2 + a**2) + 4 - 4 - a**4.
38*a**4
Expand (1 + 2 - 4)*(-2*k + 3*k + 0*k) - 12*k - 38*k + 24*k.
-27*k
Expand (-2*c + 5*c + 0*c)*(-2 + 1 - 2)*(-2*c**3 + 2*c**3 - 2*c**3).
18*c**4
Expand (0*o**3 + 2*o**3 + 0*o**3)*(o**2 - o**2 - o**2) - 2*o**5 + o**2 - o**2 - 2*o**3 + 2*o**3 - o**5 + 127*o + 7*o**5 - 127*o + o**4.
2*o**5 + o**4
Expand o**3 + 4 - 8 + 3 + (2*o**3 - 4*o**3 - 5*o**3)*(5 - 5 - 2) + 2*o**3 - o + o.
17*o**3 - 1
Expand -3*i**3 + 0*i**2 - 3*i**2 + 7*i**5 - 9*i**5 + (-3 + 3 + i)*(0*i**4 + 0*i**4 - 2*i**4).
-4*i**5 - 3*i**3 - 3*i**2
Expand (3*n**2 - 3*n**2 + n**4)*(-1 - 1 + 3) + 117*n**2 - 12*n**4 - 117*n**2 + 2 + n**4 - 2.
-10*n**4
Expand ((0 - 3 + 1)*(0*g - g + 0*g) + 6 + g - 6 + 3*g - 5*g + 3*g)*(2 - g - 3 + 0).
-4*g**2 - 4*g
Expand (2 + o - 2)*((o + 4*o - 3*o)*(1 - 1 - 1) - 5 - 4*o + 5).
-6*o**2
Expand (j + 4*j - j)*(2*j + j - 2*j) - 2*j + 2*j**2 + 2*j + (-j + 5*j - 2*j)*(-6*j + 4*j + 3*j).
8*j**2
Expand 6*q**5 - 7*q**5 + 9*q**5 + (2*q**5 - 2*q**5 - q**5)*((-2 + 2 + 2)*(-3 + 2 + 3) - 1 + 4 - 2)*(1 - 2 - 1).
18*q**5
Expand 3*y**2 - 3*y**2 + 2*y**2 + (y - 2*y + 2*y)*(0 + y + 0) - 15 - 25*y**2 + 15.
-22*y**2
Expand (i**2 - 4*i**2 + i**2)*(5 + 1 - 4) + i**2 - 2 + 2 - i**2 + 3*i**2 + 0*i**2 - 1.
-i**2 - 1
Expand -6*c**3 + 4*c**3 + 2*c + 3*c**3 + (c**2 + 1 - 1)*(0 - 2*c + 0).
-c**3 + 2*c
Expand (2*j**2 - 3*j**2 + 2*j**2)*(6 - 3 - 4) + (3 + 3*j - 3)*(j + j + 2*j).
11*j**2
Expand (0 - m + 0)*(-2*m + 3*m - 2*m) + m**2 + 0*m - 3*m**2 - m.
-m**2 - m
Expand (-2*i + 5*i - 4*i)*(2*i - 2*i - 2*i) - 15*i - 28*i**2 + 15*i.
-26*i**2
Expand (-1 + 1 - 3*n**4)*(4 - 3 - 2).
3*n**4
Expand (-5 + 2 + 2)*(o - 2*o + 0*o) + (2 + 3*o - 2)*(-5 + 1 + 3) + (-1 + 1 - 1)*(2*o + 0 + 0).
-4*o
Expand 0 + 3*o**2 + 0 + (8 + 0 - 4)*(o**2 + 2*o**2 - o**2) - 5*o**2 + 3*o**2 + o**2.
10*o**2
Expand -v + 23*v - 11*v - 3*v + 2*v - v + (-2 - 3 + 3)*(-2*v + 1 - 1).
13*v
Expand (18*n**3 + 3*n**3 + 31*n**3)*(-1 - 2*n**2 + 1).
-104*n**5
Expand (2 - 2*d - 2)*(-d - d + 0*d) + 4*d**2 + 3*d**2 - 6*d**2 + 2 - 2 - d**2 - 5*d**2 + 10*d**2 - 3*d**2.
6*d**2
Expand (0*y + 7 - 6 - 3*y)*(-4*y**2 + 2*y**2 + y**2).
3*y**3 - y**2
Expand (p**2 + 0*p**2 + 0*p**2)*(4*p**3 - 2*p**3 - 4*p**3) + (3*p**4 - 2*p**4 + 0*p**4)*(2*p + 0*p - 3*p).
-3*p**5
Expand (-4 - 6 + 2)*(26*a**3 - 4*a**5 - 26*a**3).
32*a**5
Expand (4*l - 5*l + 3*l)*(0 + 1 + 0) + 2*l + 0*l + l - 2*l - 4 + 4.
3*l
Expand (3*v - 5*v + 3*v)*(7 + 8 - 4) + v - 3*v + 0*v.
9*v
Expand (-1 + 1 + 3)*(-2*h + 0 + 0) + h - 2*h + 2*h - 6*h + 1 + 2*h + 0.
-9*h + 1
Expand y**2 - y**3 - y**2 + y**3 + y**3 - y**3 + (6*y + 1 - 1)*(2*y**2 - 6*y**2 + 2*y**2) + 0*y + 0*y + 2*y**3.
-10*y**3
Expand -1 + 2*r**2 + 1 - 4*r**2 + 3*r**2 + 0*r**2 + (3*r - 3*r - 2*r**2)*(-4 + 3 - 1) - r + r - r**2 + (2*r + 3*r - 4*r)*(-4*r - 3*r + 4*r).
r**2
Expand (-3*m + m**2 - 5 + 5)*(0*m**3 + 2*m**3 + m**3).
3*m**5 - 9*m**4
Expand (-c - 2*c + 5*c)*(-c**4 - 2*c**4 + 6*c**4) + (3 - c - 3)*(-4*c**4 - c**4 + 3*c**4).
8*c**5
Expand (6*z**2 - z**2 - 3*z**2)*(-11*z**2 + 2*z**2 - 3*z**2).
-24*z**4
Expand (0*g + 0*g + g + (3 - 2 + 0)*(0*g + 0*g + 2*g) + 3*g - 3*g + g)*(3*g**2 - g**2 - 3*g**2 + (-3*g - 18*g - 3*g)*(0*g + 3*g - g)).
-196*g**3
Expand (-1 + 0 + 3)*(3*r**5 - 10*r + 10*r).
6*r**5
Expand ((-7*l + 3*l + 3*l)*(-2*l + 1 - 1) + 4*l**2 + 26*l - 26*l)*(-1 - 3 + 1).
-18*l**2
Expand (1 + 3 - 5)*(4*s**3 + 3*s**2 - 2*s**2 - 4*s**2) + 2*s**3 + s**3 + 0*s**3.
-s**3 + 3*s**2
Expand (-4*k + 4*k - 6*k)*(-1 - 11 - 7).
114*k
Expand (4*a - 5*a + 2*a)*(-7 + 5 - 5) + (2 + 2 - 3)*(-3*a - 5*a + 2*a).
-13*a
Expand (3 - 1 - 3)*(-5*k**5 + 3*k**5 - 9*k**5).
11*k**5
Expand (p + p - 3*p)*(2 + 2 - 7) + (-3 + 3 - 2*p)*(-5 + 1 + 3)*(-4 + 1 + 1).
-p
Expand (-2*r + r + 2*r)*(4*r - 2*r + r) + 24 - 24 + 2*r**2.
5*r**2
Expand (-2*a**4 - 2*a**4 + 3*a**4)*(-2*a + 0*a + 3*a) - 3*a**5 - 3*a**4 + 3*a**4 + (7*a**2 - 16 + 16)*(2*a**3 - 2*a**3 - 2*a**3).
-18*a**5
Expand (2*x - 2*x**2 - 2*x)*(44*x**3 - 201 + 201).
-88*x**5
Expand (2*s**3 - s**3 + 16*s**3)*(s - s + s).
17*s**4
Expand (3*p + 4*p - 6*p)*(-3 + 0 - 2)*(8*p**4 - 3*p**4 - p**4).
-20*p**5
Expand (45*j**3 - 21*j**3 - 20*j**3)*(2*j**2 - j**2 + 2*j**2).
12*j**5
Expand -s**2 + 2*s**2 + s**2 - s**2 - 4*s**2 + 4*s**2 + (5*s + 3*s**2 - 5*s)*(5 - 4 - 3) - s + s - s**2 + (-s + 0 + 0)*(-2*s - s + 4*s).
-7*s**2
Expand -23 + 0*y**2 + y**2 + 11 + (3*y - 2*y**2 - 3*y)*(-4 + 2 + 1).
3*y**2 - 12
Expand 0 + 0 - 3*a**3 + (a**3 - a + a)*(0 + 2 - 1)*(-2 + 4 - 4).
-5*a**3
Expand (-2*g - 1 + 1)*(-2*g**2 + 0*g**2 + 3*g**2) + 4*g**3 - 2*g**3 + 2*g**3.
2*g**3
Expand (-2 + 2 - w**5)*(-2 - 2 + 5) + 23*w**5 + 20*w**5 - 14*w**5.
28*w**5
Expand (2 - 1 + 1)*(4*u - 2*u - u) + 1 - 1 - 2*u + (5*u - u - 3*u)*(1 + 0 - 2) + u - 2*u - 2*u.
-4*u
Expand (2*b**2 - 3*b**2 + 2*b**2 + (0*b + b - 3*b)*(-2*b - b + b))*(-2 + 0 - 2)*(b**2 - 3*b**2 - b**2).
60*b**4
Expand (8*d**2 + d**2 - 64*d**2)*(0*d - 4*d + 2*d).
110*d**3
Expand (4 - 2*z + 0*z - 2)*(0*z**2 + 3*z**2 - 2*z**2 + (z**2 + 0*z**2 - 2*z**2)*(-2 + 6 - 2)).
2*z**3 - 2*z**2
Expand (4 - 4 + 3*s)*((-2*s + s**2 + 2*s)*(s + 4*s - 3*s) + s**3 - 3*s**3 + s**3).
3*s**4
Expand c - c - 2*c**3 - 3 + 3 + 2*c**3 + (-4*c + 2*c + 3*c)*(0 + 0 - c**2) + (3*c**2 - c**2 - c**2)*(-2*c + 2*c + c + (0 + 5 - 2)*(-c + 1 - 1)).
-3*c**3
Expand (-25 - 12*k**2 + 25)*(-k + 3*k - 4*k).
24*k**3
Expand (-v + v**2 + v)*(6 + 4 + 4)*(-2*v - 3*v + 4*v).
-14*v**3
Expand (-17 - 26 + 55)*(4*h**5 + 0*h**5 - 3*h**5).
12*h**5
Expand (9*p - 6*p + 9*p)*(-2 + 2 - 2*p) + (p - 3 + 3)*(p - 4*p + 2*p).
-25*p**2
Expand (1 + 0 + 2 + (0 - 4 + 3)*(1 + 2 - 5) - 1 + 2 + 1)*(3*l - 4*l + 0*l)*(3*l**4 - 5*l**4 - 5*l**4).
49*l**5
Expand ((-1 - 1 + 0)*(-3*v + 5*v - 4*v) - v + 3*v - 4*v)*(-1 + 1 - 3).
-6*v
Expand (0 + 0 + 2*i**2)*(-96 - 22*i**3 + 96).
-44*i**5
Expand (24*y + 7*y**2 - 24*y)*(-4 + y + 4) - 3*y**3 + 3*y - 3*y.
4*y**3
Expand (2 - f - 2)*(1046 - 23*f**2 - 1046).
23*f**3
Expand (-3*q** | {
"pile_set_name": "DM Mathematics"
} |
decimal places.
0.0000028
Let m(v) = v - 3. Let p be m(9). Let l be p/5*(-5)/(-2). Suppose 8*a = l*a + 1400. What is a rounded to the nearest 100?
300
Let j = -6.18 - 0.22. Let r = j + 6.4124. What is r rounded to three decimal places?
0.012
Let a = -591 + 590.848. What is a rounded to 1 decimal place?
-0.2
Suppose 2*l - l - 147600005 = -4*w, 0 = -4*w + l + 147599995. What is w rounded to the nearest 1000000?
37000000
Let z be (-2267518)/(-55) + 2/5. Let d = z + -120228. Round d to the nearest 10000.
-80000
Let z be 1/((-46767)/9354 - -5). Suppose z = 4*k - 322. What is k rounded to the nearest 100?
900
Let s = 7728.3311 + -7728. Round s to 2 decimal places.
0.33
Let t = 64840 + -114291. Let c = 49451.139991 + t. Let n = -0.14 + c. What is n rounded to five dps?
-0.00001
Let j be (-13125)/(-6)*-296*400/10. What is j rounded to the nearest 1000000?
-26000000
Let c be 4 + 5 + (1 - -42390). Round c to the nearest ten thousand.
40000
Let s = -4 - -9. Suppose s*n - 16 = 29. Let y(g) = 11778*g - 2. Let m be y(n). What is m rounded to the nearest 10000?
110000
Let s = -633.99791 + 634. What is s rounded to 3 dps?
0.002
Let a = 112 - 204. Let b = -91.9728 - a. What is b rounded to three dps?
0.027
Let s = 152.7860087 + 20.0355093. Let h = s + -163.5215131. Let d = h - 9.3. What is d rounded to 6 dps?
0.000005
Let u = -4.420000167 - -4.42. What is u rounded to seven decimal places?
-0.0000002
Let m be 300*(70/(-6) + 7). What is m rounded to the nearest 1000?
-1000
Let v = -337.38 - -337.580005. Let l = -5.2 - -5.4. Let m = v - l. What is m rounded to five decimal places?
0.00001
Suppose -2*v + 3839988 = -3*a, -3*a + 4319533 = 2*v + 479521. What is v rounded to the nearest one million?
2000000
Let i be -17*2170/((-1)/1). Let j = -14010 - i. Round j to the nearest 10000.
-50000
Suppose 2*c = 119 - 37. Let m(p) = -20*p - 1. Let g be m(-1). Let l = g + c. Round l to the nearest 100.
100
Let s = -6.1 + 31.1. Let q = s + -7.6. What is q rounded to zero dps?
17
Let r = -2.936 - -2.9. Let p = -19.336 - r. What is p rounded to the nearest integer?
-19
Let a = 0.99 - 0.99000197. Round a to 7 decimal places.
-0.000002
Let v = -3 - 55. Let x = v + 57.99999903. What is x rounded to seven decimal places?
-0.000001
Let l = -98 - -59. Let d = -3 - l. Round d to the nearest 10.
40
Let j be -3 - (4211 + (-6 - -4)). Let r be -2 + j/(-3)*-2. What is r rounded to the nearest 100?
-2800
Let t = 41.014 - 0.014. Let q = t - 40.7. What is q rounded to the nearest integer?
0
Let x = 122.27 - 123. Let z = x + -6.47. Let a = z + 11. Round a to 0 dps.
4
Let l = 6027712 + -2965712. Round l to the nearest 1000000.
3000000
Let r(b) = -13*b**2 + 1. Let u(g) = g + 6. Let d be u(-5). Let w be r(d). Round w to 0 decimal places.
-12
Let u = -181.6 + 181.53718. What is u rounded to 3 dps?
-0.063
Let y(d) be the second derivative of 1456675*d**3/6 + 25*d**2/2 + d - 9. Let r be y(-3). Round r to the nearest 1000000.
-4000000
Suppose -g - 5*g = 0. Suppose -5*b - 6*y + 2*y + 659992 = g, 5*y - 131990 = -b. What is b rounded to the nearest ten thousand?
130000
Let q(y) = 10934*y. Suppose 0 = -5*g + 4*l - 15, 4*g + 6 = 2*l - 0*l. Let w be q(g). Suppose -2974 = 4*h - w. Round h to the nearest 100.
2000
Let m be (-1 - -7)/(-6 - -8). Let f(j) = -2 - 4575001*j**2 + 3 - m + 3*j. Let d be f(2). Round d to the nearest 1000000.
-18000000
Let j = 0.79 + -16.77. Let q = j - -14.9. What is q rounded to one dp?
-1.1
Let z = 4.68 - 4.6800865. What is z rounded to five dps?
-0.00009
Let a = -4003 + 4338.9. Round a to the nearest 10.
340
Let x = 12 - 2. Let v = x + -9.91. Let m = -0.086 + v. Round m to 3 dps.
0.004
Let x be (3 + -4)/(1/(-5)). Suppose -x*b = -1 - 4. Let o be 7199996/(-8) + b/(-2). Round o to the nearest one million.
-1000000
Let u = 0.8 - 0.7. Let w = -3.5 + 2. Let m = w - u. What is m rounded to the nearest integer?
-2
Let s = 27 - -14. Let b = -149151.0639963 - -149192.064. Let z = b - s. What is z rounded to six dps?
0.000004
Let k = -42.0304 - -42. Let f = -0.16 - -0.2. Let n = k + f. What is n rounded to three decimal places?
0.01
Let m = 24.5 - 24.50000123. What is m rounded to 7 decimal places?
-0.0000012
Let r = -222 - -214.8. Round r to the nearest integer.
-7
Let r = 43964.411947 - 44028.412. Let b = 18 - 82. Let d = r - b. What is d rounded to 5 dps?
-0.00005
Suppose 23*k + 284297 = -186053. Round k to the nearest 1000.
-20000
Let u = -79 + 69. Let y be 4*(-6)/(-60) - (-20300004)/u. What is y rounded to the nearest one hundred thousand?
-2000000
Let m = 12 - 5. Let h = 4247.078 + -4240. Let s = h - m. Round s to two decimal places.
0.08
Let k = -0.03172 - 58.75828. Let p = -57 - k. What is p rounded to one dp?
1.8
Let n = -11797 + 11817.676. Let p = -118.414 - n. Let f = p + 140. Round f to one dp.
0.9
Let b = 32.978 - 33.3. Let j = -140.678 + b. Let f = -141.73 - j. Round f to 1 dp.
-0.7
Let v be 2/(3 + 1177917/(-392640)). Suppose -3*i = 38240 + v. What is i rounded to the nearest one million?
0
Let m = -949.799 - -945.6. Let b = 0.0602 - -3.9698. Let a = m + b. Round a to 2 decimal places.
-0.17
Let u = 94 - 46. Let v = 45.2 - u. Round v to zero decimal places.
-3
Let u = -0.1394 - -15.3594. Round u to one decimal place.
15.2
Let l = -970.592 + 970. Round l to one decimal place.
-0.6
Suppose 13*w + 2028 = 2*u + 8*w, 4*w = -5*u + 5037. Round u to the nearest one hundred.
1000
Let q = -267 - 130. Let u = -413.16 - q. Let c = u - -16. Round c to one dp.
-0.2
Let r = -129 + 55. Let n = 74.142 + r. Let u = n + 0.488. Round u to 1 dp.
0.6
Let t = 11.59 - 11.5905984. Round t to four decimal places.
-0.0006
Let x = 0.32 + -0.31999879. Round x to 6 decimal places.
0.000001
Let g = -34.1 + 28. Let d = -70.9 + g. Let t = 77.142 + d. What is t rounded to 2 dps?
0.14
Let u = 0.397 + 6.683. What is u rounded to the nearest integer?
7
Let y = 39369 + -136269. Round y to the nearest ten thousand.
-100000
Let z = 22 + -17. Suppose -3*v = z*w - 284, 0 = 4*w - 2*v - v - 211. Suppose 165 = -2*k - w. What is k rounded to the nearest 100?
-100
Let p(k) = k**3 + k. Let o(d) = 9*d**3 + 4*d**2 - 6. Let u(l) = o(l) - p(l). Let v be u(4). Round v to the nearest 10.
570
Let y = 922 + -921.013. Round y to 1 decimal place.
1
Suppose 9*c - 5 = -14. Let u be 1 + c - (2 + -120002) - 0. What is u rounded to the nearest 100000?
100000
Let t = -2682154849.88946735 + 37.88946735. Let k = -2682154823.50000049 - t. Let w = 11.5 + k. Round w to seven dps.
-0.0000005
Let n = 10.9 - 10. Let t = 1.44 - -1.36. Let u = n + t. Round u to 0 dps.
4
Let b(y) = 577037*y**3 - y**2 + 3*y - 2. Let v be b(1). Let q = v + -330037. Round q to the nearest one hundred thousand.
200000
Let x = 53.947 - 54. Let y = 3.753 + x. What is y rounded to zero decimal places?
4
Let i = 44 + -61. Let b = 12.62 + i. What is b rounded to one decimal place?
-4.4
Let d be 142314/(-30) + 60/75. Round d to the nearest 1000.
-5000
Let r = -353.141 - -353. Let q = 0.024 + r. Let x = q - 12.683. Round x to the nearest integer.
-13
Let z = -18354.9987951 + 18355. What is z rounded to 4 dps?
0.0012
Let y = 1225 + -1224.9999996245. What is y rounded to 7 dps?
0.0000004
Let m = -2747 - -2624.7. Let u = -0.237 + -115.763. Let j = m - u. What is j rounded to the nearest integer?
-6
Let k = 140.107 + -136.80698. Let s = 3.3 - k. What is s rounded to 5 dps?
-0.00002
Let h = -87.929 - -88. Let x = h + -0.0487. Round x to 3 dps.
0.022
Let m = 0.047 + 23.953. Let l = 24.0085 - m. Round l to 3 decimal places.
0.009
Let r = -18.72 - 0.28. Let j = r + 20.6. Let s = 0.38 - j. Round s to one decimal place.
-1.2
Let k = -82 - -104.5. Let z = k - 24. What is z rounded to one dp?
-1.5
Let b = 1.6633 - 1.6. Let v = b - -13.9457. Let o = v + -14. What is o rounded to two decimal places?
0.01
Let j = 0.3 - 2.7. Let z = 44.6 - j. Let s = 47.0000047 - z. Round s to 6 decimal places.
0.000005
Let r(z) = -254507*z - 140. Let g be r(-20). Round g to the nearest 1000000.
5000000
Let m = -0.03764 - -0.037635031. What is m rounded to six decimal places?
-0.000005
Let g = -58 - -23. Let s = -34.999979 - g. What is s rounded to six decimal places?
0.000021
Suppose 4*b = -4*b + 344. Suppose 4*i - 352 = -4*h, 4*h + b = -i + 143. What is i rounded to the nearest 10?
80
Let p = 468255 - 27 | {
"pile_set_name": "DM Mathematics"
} |
ulate g(x(r)).
-336*r**2 - 4*r
Let j(w) = 17*w**2 + 13. Let o(f) = 8*f**2 + 6. Let y(x) = -6*j(x) + 13*o(x). Let m(s) = 8*s + 6. Let u(q) = q + 1. Let i(r) = -m(r) + 6*u(r). Give y(i(a)).
8*a**2
Let t(k) = k. Let u(x) be the first derivative of 25*x**2/2 + 11. Determine u(t(m)).
25*m
Let p(f) = -6*f. Let m(r) = -2*r. Let v(y) = 10*m(y) - 3*p(y). Let k(t) = -9*t**2. Let g(j) = -26*j**2. Let b(x) = 5*g(x) - 14*k(x). Give v(b(c)).
8*c**2
Let c(b) be the third derivative of -b**4/24 - b**2 - 20. Let l(i) = 2*i**2 + 5 - 5. Give l(c(g)).
2*g**2
Let j(g) = -4*g**2. Let k(a) = -a**2 - 7*a**2 - 2*a**2 + 12*a**2. Calculate j(k(t)).
-16*t**4
Let w(z) = 2*z**2. Let h(b) = -b**3 + b**2 - b + 7. Let r be h(0). Let n(x) = 7*x - 9*x + r*x. What is w(n(m))?
50*m**2
Let k(b) = b + 3. Let g(s) = -2*s - 8. Let n(v) = 3*g(v) + 8*k(v). Let i(d) = 3*d. Determine i(n(u)).
6*u
Let j(d) = 2 - 2*d**2 - 2. Let k(s) be the first derivative of s**6/180 + s**3/3 - 1. Let a(c) be the third derivative of k(c). Determine a(j(w)).
8*w**4
Let p(m) = -2*m**2 - 25*m**2 + 6*m**2 - 8*m**2. Let w(d) = -3*d**2. Determine p(w(u)).
-261*u**4
Let h(i) be the second derivative of 3*i**4/4 + 2*i. Let y(n) = -2*n**2. Calculate h(y(t)).
36*t**4
Let b(g) = 4*g**2 + 1790*g. Let h(u) = -2*u. Calculate h(b(j)).
-8*j**2 - 3580*j
Let k(b) = 4*b. Let r(j) be the second derivative of j**4 + 5*j. What is k(r(z))?
48*z**2
Let c(m) be the second derivative of 49*m**3/6 - 8*m. Let z(u) = 2*u. Calculate c(z(q)).
98*q
Suppose -2*r = -r - 3. Let d(o) = -4*o**2 + o**2 - r*o**2 + 3*o**2. Let g(i) = -i. Give d(g(q)).
-3*q**2
Let i(r) be the second derivative of r**3/6 - 4*r. Let q(o) = -7*o**2. Calculate i(q(u)).
-7*u**2
Let z(x) = 6*x + 2. Let o(l) = -l**2 - 56. Calculate z(o(h)).
-6*h**2 - 334
Let p(h) = 2 + 8*h - 3*h - 2. Let c(v) be the second derivative of -v**4/12 - v. What is p(c(k))?
-5*k**2
Let n(j) = -268*j. Let q(w) = w**2. Give q(n(t)).
71824*t**2
Let z(n) = -10*n**2 + 40*n. Let t(x) = -2*x. Give z(t(j)).
-40*j**2 - 80*j
Let h(p) = -8*p**2 + 4*p. Let g(j) = -10*j + 4*j**2 + 13*j**2 + j. Let d(m) = -4*g(m) - 9*h(m). Let r(a) = 3*a - 2*a + a. Give r(d(q)).
8*q**2
Let i(w) = -8*w**2. Let p(t) = 263*t. Give p(i(m)).
-2104*m**2
Let f(c) = -5*c**2 - 4. Let y(t) = -107*t**2. What is y(f(x))?
-2675*x**4 - 4280*x**2 - 1712
Let x(l) = -l**2. Let i(q) be the third derivative of 0*q**3 + 8*q**2 - 7/12*q**4 + 0*q + 0. What is i(x(y))?
14*y**2
Let g(f) be the third derivative of f**4/8 - 5*f**2. Let o(m) be the second derivative of -m**4/12 - 2*m. Calculate g(o(n)).
-3*n**2
Let q(k) be the second derivative of 0*k**3 - 1/12*k**4 + 0 + 0*k**2 + k. Let f(b) be the third derivative of b**4/6 + b**2. Give f(q(w)).
-4*w**2
Let u(r) be the first derivative of -r**5/60 + 4*r**3/3 - 6. Let x(h) be the third derivative of u(h). Let w(o) = -2*o. Give x(w(p)).
4*p
Let i(h) = -14*h. Let o(b) = 0 + 416*b - 409*b + 0. Calculate o(i(a)).
-98*a
Let q(z) be the second derivative of -z**3/6 + 4*z. Let n(u) = 4*u. Give n(q(b)).
-4*b
Let n(z) = 2*z. Let t(y) = -37*y**2 + 7. Give n(t(l)).
-74*l**2 + 14
Let k(a) = -a + 0*a + 8*a. Let j(q) = -q. Give j(k(g)).
-7*g
Let s(v) be the third derivative of -v**5/60 - 10*v**2. Let x(w) = -w - w + 0*w. Give s(x(b)).
-4*b**2
Let g(b) = -4*b + 5*b - 4*b + 4*b. Let o(y) = -y - 2*y + 0*y. What is o(g(w))?
-3*w
Let p(u) = 169*u**2. Let r(a) = -a. Calculate p(r(x)).
169*x**2
Let v(i) = 359*i. Let x(u) = -4*u. Determine v(x(o)).
-1436*o
Let p(t) = -2*t**2. Let d(i) = -934*i - 4. Give p(d(m)).
-1744712*m**2 - 14944*m - 32
Let m(c) = -c**2 - c. Let h be m(-1). Let w(g) = h*g + 3*g - 4*g. Let q(d) = 3*d**2. Calculate q(w(z)).
3*z**2
Let k(i) = 128*i**2. Let t(h) = 2*h. Calculate t(k(b)).
256*b**2
Let k(c) = -10*c + 12. Suppose 5 + 7 = -h. Let m(s) = -4*s + 5. Let o(r) = h*m(r) + 5*k(r). Let d(b) = -2*b**2 + 0*b**2 + 3*b**2. What is d(o(a))?
4*a**2
Let b(w) be the third derivative of w**4/8 - 2*w**2. Let j(y) = 3*y**2 + 4*y. Let n(g) = -g**2 - g. Let k(s) = j(s) + 4*n(s). Calculate b(k(t)).
-3*t**2
Let h(u) = -3*u + 3. Let y(a) = 9*a. What is h(y(m))?
-27*m + 3
Let v(m) = m. Let x(p) = p**2 + 6*p + 6. Let w(f) = 2*f**2 + 13*f + 13. Let j(c) = -6*w(c) + 13*x(c). Determine j(v(l)).
l**2
Let w(i) = 2*i**2 + 18. Let k(t) = -732 + 732 - t**2. Determine w(k(s)).
2*s**4 + 18
Let t(w) = -2*w**2. Suppose -5*b = -12 - 8. Let v(d) = 3*d**2 + 2*d**2 - b*d**2 - 3*d**2. What is t(v(i))?
-8*i**4
Let f(h) = -4*h + 2. Let g(y) = -7 + 12 - 6. Let p(w) = -f(w) - 2*g(w). Let u(m) = 3*m. Give u(p(v)).
12*v
Let f(x) = 27*x. Let r(l) = l. Give r(f(d)).
27*d
Let i(o) = 4*o - 19. Let l(w) = 57*w. Give i(l(p)).
228*p - 19
Let a(v) = 2*v**2. Let u(w) be the first derivative of -w**4/8 + 3*w**2/2 - 3. Let j(z) be the second derivative of u(z). Determine j(a(q)).
-6*q**2
Let y(j) = -2*j + 29. Let u(z) = -2*z**2. Calculate y(u(v)).
4*v**2 + 29
Let c(v) = -7 + 7 - 6*v**2 + 14*v**2. Let u(b) = b - 1. Let l(p) = -2*p**2 + 10*p - 10. Let w(m) = l(m) - 10*u(m). Give w(c(z)).
-128*z**4
Let n(x) = -4*x**2. Let j(i) = 15*i + 18. Let k(v) = v + 1. Let u(y) = j(y) - 18*k(y). Determine u(n(q)).
12*q**2
Let d(x) be the second derivative of -x**6/360 + x**4/4 + 2*x. Let z(m) be the third derivative of d(m). Let l(j) = -j. Determine z(l(w)).
2*w
Let a(v) = -v. Let d(u) = 508*u. Calculate d(a(o)).
-508*o
Suppose 3*j - 2 = 4. Let i(c) = -j*c + 0*c + 3*c. Let q(a) be the first derivative of -a**2/2 - 3. Calculate i(q(x)).
-x
Let x(o) = -2*o**2 + 6*o**2 + 2*o**2 + o**2. Let w(q) = 4*q. Calculate x(w(s)).
112*s**2
Let z(y) = -2*y**2. Let g(r) be the third derivative of 1/8*r**4 + 0*r**3 + 0*r + 2*r**2 + 0. What is z(g(a))?
-18*a**2
Let k(a) = -8*a. Let s(v) be the second derivative of -v**4/12 + v. What is k(s(r))?
8*r**2
Let z(m) = -58*m. Let f(y) = 5*y**2. Give f(z(o)).
16820*o**2
Let s(b) = -3*b**2 - 4*b. Let h(i) = -i**2 - i. Let l(n) = -4*h(n) + s(n). Let p(k) = -35*k. Determine p(l(w)).
-35*w**2
Let m(i) = 0*i**2 - 9*i**2 + 6*i**2. Let t(b) = b. Give m(t(a)).
-3*a**2
Let h(z) = 15*z + 9. Let k(s) = 2*s**2. Give k(h(t)).
450*t**2 + 540*t + 162
Let a(r) = -2*r**2. Let i(d) be the second derivative of -d**6/360 + d**4/6 - d. Let u(p) be the third derivative of i(p). What is u(a(n))?
4*n**2
Let k(s) = s. Suppose -2*a = -a - 2. Let v(q) = -12*q**2 + 7*q**2 + 7*q**a. Give k(v(n)).
2*n**2
Let u(n) = -n + 28. Let p(f) = f**2. Calculate u(p(q)).
-q**2 + 28
Let y(c) be the second derivative of -c**3/6 + 3*c. Let n(h) be the third derivative of -h**5/20 - 2*h**2. Give n(y(g)).
-3*g**2
Let c(i) = i - i - 2*i**2 + 0*i**2. Let p(y) = 47*y**2. What is p(c(f))?
188*f**4
Let k(d) = -1658*d**2. Let q(y) = -2*y**2. Determine k(q(i)).
-6632*i**4
Let a(q) = 2*q**2. Let u(b) = -630*b. Determine a(u(v)).
793800*v**2
Let y(p) = 5010 - 5010 + 3*p. Let c(j) = 6*j + 8. Let a(w) = -4*w - 5. Let o(i) = 8*a(i) + 5*c(i). Calculate y(o(b)).
-6*b
Let h(i) = 0*i + i - 14 + 14. Let g(j) = 4*j**2. What is h(g(y))?
4*y**2
Let n(h) = -7*h**2. Let y(c) be the third derivative of c**6/180 + c**3/2 + 3*c**2. Let q(m) be the first derivative of y(m). Calculate n(q(f)).
-28*f**4
Let x(o) be the third derivative of o**4/12 + 2*o**2. Let s be ((-4)/1)/(4/(-10)). Let t(d) = 3 - 3 + 7*d - s*d. What is t(x(c))?
-6*c
Let b(j) = -10*j - 2. Let l(p) = 11*p**2. Determine l(b(v)).
1100*v**2 + 440*v + 44
Let n(m) = -16 - 4*m - 21 + 35. Let j(d) = -2*d**2. What is j(n(z))?
-32*z**2 - 32*z - 8
Let u(r) be the first derivative of 3*r**3/2 + 2*r + 2. Let x(k) be the first derivative of u(k). Let o(i) = 2*i**2. Calculate o(x(w)).
162*w**2
Let q(g) = 5*g. Let u(x) = 8*x**2 + 17*x. Let c(m) = -3*m**2 - 6*m. Let y(s) = -17*c(s) - 6*u(s). What is y(q(b))?
75*b**2
Let z(o) = 4*o. Let j(b) = -2*b + 22. Let w be j(11). Let m(n) be the second derivative of 2*n + w + 0*n**2 + 1/3*n**3. Calculate z(m(q)).
8*q
Let y(w) = -2*w**2 + 13. Let c(q) = 158 - 2*q + 5*q - 158. Calculate y(c(a)).
-18*a**2 + 13
Let k(c) = c. Let p(f) = -5*f**2 - f**2 - 2 + 2. Give k(p(x)).
-6*x**2
Suppose -4*k = -2*y - 16, -5*y - 2*k = 2*k - 16. Let q(o) be the second derivative of -2*o + 0*o**2 + y - 1/3*o**3. Let w(z) = 3*z. Give w(q(s)).
-6*s
Let d(a) = a. Let k(g) = 3*g. Let b(y) = -y - 2. Let m be b(5). Let c(q) = 4*q. Let l(z) = m | {
"pile_set_name": "DM Mathematics"
} |
).
9
Let d(r) be the second derivative of r**3/6 + 5*r**2 + 8*r + 1. Calculate d(-11).
-1
Let c(i) = i**2 + i + 4. Let q = -104 - -109. Suppose g - 19 = -1. Suppose -q*m = 4*r + 8 + g, -5*r + 2*m = 16. Calculate c(r).
16
Suppose -98*p - 321 = 267. Let o(w) = -w**3 - 8*w**2 - 10*w - 9. Calculate o(p).
-21
Let o(c) = 1 - 2*c**2 + 1 + c**2. Suppose -36*m + 50*m + 21 = -21. Give o(m).
-7
Let a(o) = o**2 - 7*o - 10. Let l be (6/4)/(51/34) + 2. Suppose -4*z + 39 = 5*p - l*z, z - 7 = -p. Calculate a(p).
-2
Let n(i) be the second derivative of 0*i - i**3 + 10*i + i. Determine n(2).
-12
Let m = -7 - 0. Let x(q) be the third derivative of -q**6/360 - q**5/15 + q**4/12 - 3*q**2. Let h(d) be the second derivative of x(d). Give h(m).
6
Let r(z) = -z**3 - 13*z**2 + 14*z + 7. Let s be r(-14). Let l be 58/7 - 2/s. Suppose -l = -a - 1. Let p(k) = k**2 - 8*k + 3. What is p(a)?
-4
Suppose 3*i + 3 = -2*u, -3 + 8 = 5*i. Let l(m) = -7*m**2 + 14*m**2 - 2*m - 9*m**2. What is l(u)?
-12
Let y(h) = h + 4*h - 4*h - 1. Let u(l) = -2*l + 10. Let n(c) = u(c) + 3*y(c). What is n(-7)?
0
Let h(c) = -2*c**2 - 7*c + 8. Let n(m) = m**2 + m - 2. Let x(j) = h(j) + 3*n(j). Determine x(3).
-1
Let v(t) = t**2 + t + 13. Let a be -4*(1 + 12/(-8)) + 0. Let z be 2*a/4*0/(-19). Give v(z).
13
Let g(d) = -2*d - 9. Let o = 239 + -118. Suppose 13*f + o = 43. Determine g(f).
3
Let j(r) = -5*r**3 + 2*r**2 - r - 2. Let k(d) = 12*d**3 - 3*d**2 + 3*d + 3. Let a(o) = 7*j(o) + 3*k(o). What is a(-4)?
3
Let i(v) be the first derivative of -4*v + 2*v**2 - 1/4*v**4 - 4/3*v**3 + 20. Calculate i(-5).
1
Let p(l) = l**3 - 3*l**2 - 2*l + 5. Let x be (-3)/(21/(-4)) - (-153)/63. Calculate p(x).
-1
Let a(t) = t**3 + 2*t**2 - t + 2. Let h be a(0). Let l(b) = 3*b - 2 + 3*b**2 - h - b + 2*b**3 + 2. Calculate l(-2).
-10
Let f be (-1 - -3)/((-10)/(-105)). Let x(t) = t - 12 - 5*t**2 - t**3 - 14 + f. What is x(-5)?
-10
Let i(l) = -l**2 + 17*l - 19. Suppose 0 = 2*g - 91 + 59. What is i(g)?
-3
Let j(n) be the second derivative of -5*n + 1/24*n**4 - 2*n**2 + 0*n**3 + 0. Let u(c) be the first derivative of j(c). Give u(3).
3
Let m(x) be the first derivative of -4*x**2 + x + 289. Let y be 2/(-6) + (-4)/6. Calculate m(y).
9
Let v(l) be the second derivative of -l**7/840 - l**6/40 - l**5/30 + l**4/8 - 9*l**3/2 - 13*l. Let p(s) be the second derivative of v(s). What is p(-8)?
-29
Let w = 9 - 4. Suppose w*g = -5, 0*y - 3 = y + 3*g. Let z(b) = -b**3 - b**2 - b + 5. Determine z(y).
5
Let z(h) = h**3 - h**2 + h + 1. Let l(f) = 8*f**3 - 7*f**2 + 8*f + 5. Let w(d) = l(d) - 6*z(d). Suppose a = -b - 2*a - 11, 2*a + 8 = 0. Determine w(b).
2
Let b(m) = 0 + 2*m**2 + m + 3 - 3*m. Let y be (2/5)/(3/510). Let c = y + -66. Give b(c).
7
Let n(g) = -g - 22. Let f be n(-26). Let d(i) = -4*i - i**3 - i + i**2 + f*i**2 + 4 + 4*i. Calculate d(4).
16
Let s(h) = 2*h**3 + 12*h**2 + 21*h + 5. Let w = -76 - -85. Let k(j) = 5 + 6*j**2 + j**3 - 3 + 10*j + 0. Let m(i) = w*k(i) - 4*s(i). Determine m(-5).
-7
Let g(d) = -d**3 - 3*d**2 - 2*d - 2. Let v be g(-3). Suppose -4*p + 2*i + 12 = -p, -4*p + v*i + 16 = 0. Let j(w) = p*w - w**2 - 4 + w + 1. Determine j(3).
3
Suppose -168 = -4*f + 3*f. Let u be (1/(-2))/(21/f). Let z be 12/(-10)*(-10)/u. Let q(p) = p**3 + 2*p**2 - 4*p + 1. Calculate q(z).
4
Let t(v) = -16 + v**3 - 2567*v + 5110*v - 2563*v - 20*v**2. Determine t(21).
5
Let p(c) be the third derivative of c**6/8 - c**3/6 + 836*c**2. Suppose d = -3*d + 8. Suppose 6 = d*r - y, 0 = -5*r - 3*y + 1 - 8. Calculate p(r).
14
Let r(d) = 0*d + d + 12*d + 35*d**3 - 34*d**3 + 12*d**2 + 21. Give r(-11).
-1
Suppose 0 = 5*z + 2*h - 36, -12 = -z - 4*h + 2*h. Let u(r) = 4*r**3 + 7*r + 0*r - 9 - 3*r**3 + z*r**2 + 13. Determine u(-4).
8
Let u(c) = 2*c + 9. Let o(v) = -v - 1. Suppose -3*t = -n, 4*n - t = 3*t - 8. Let a(b) = n*o(b) - u(b). What is a(7)?
1
Let t(n) = 2*n - 3. Let m(a) = 5*a - 21. Let p(f) = m(f) - 3*t(f). Give p(-7).
-5
Let h(b) be the third derivative of -b**5/30 + 3*b**4/4 - 3*b**3/2 + 2*b**2 + 157*b. Calculate h(8).
7
Let b(d) = -d + 16. Let t be b(16). Suppose 5*o = 3*o + 2. Let v(q) = q**3 + q**2 + 3*q - 10. Let y(l) = -l + 1. Let u(w) = o*v(w) + 3*y(w). What is u(t)?
-7
Let i(v) = 2*v + 27. Let u = 134 + -147. Give i(u).
1
Let l(v) = v**3 - 8*v**2 + 9*v - 8. Let w = -9 - -14. Suppose -4*y + 3*c = -9 - 10, -3*c - 26 = -w*y. Determine l(y).
6
Let q(r) = -r**3 + 4*r**2 + 6*r - 8. Suppose 26*u - 13*u - 65 = 0. Determine q(u).
-3
Let v(b) = -2*b - 9. Suppose 4*l - 210 = -l. Let y be ((-4)/(-12))/((-2)/l). Calculate v(y).
5
Let u(f) = 3*f - 22. Suppose 21 = 3*x - 0*v + 3*v, 40 = 4*x - 2*v. Calculate u(x).
5
Let b(q) = -7*q**2 + 2*q + 1. Let r(m) = m**2 - 8*m - 16. Let n be r(10). Suppose 0 = 3*i - n*x - 5, 5*x + 7 = -3. Determine b(i).
-8
Let h(l) = -3*l + 5. Let j be h(2). Let a be (j/(-3))/(4/(-24)). Let b(n) = -5*n - 5. Let m(v) = 25*v + 26. Let w(s) = -11*b(s) - 2*m(s). Give w(a).
-7
Suppose 24 + 4 = -3*n + 5*z, 0 = 5*n - 2*z + 15. Let b(s) = 26*s**2 - s - 1. Give b(n).
26
Let x = 7 - 17. Let s be (12/x)/((-5)/(-25)). Let d be (-6)/2 + s/(-1). Let k(q) = -q**2 + 2*q - 3. Give k(d).
-6
Suppose -2*a - 3*a = 0. Let b = a + -5. Let w(z) be the third derivative of z**6/120 + z**5/15 - 5*z**4/24 - 2*z**3/3 + 36*z**2. What is w(b)?
-4
Let m = -1143 - -1143. Let b(o) = o**3 - 2*o + 57. Determine b(m).
57
Let a(n) = 3*n**2 - n - 24. Let q be a(0). Let s be (0/(-1))/(q - -26). Let u(i) = i**2 - i + 6. What is u(s)?
6
Let u(p) = p**3 - 12*p**2 + 19*p + 8. Let s be u(10). Let g(a) be the third derivative of -a**4/6 - a**3/2 - 2*a**2. Give g(s).
5
Let p(b) = 9*b**2 + 7*b - 15. Let i(c) = -2*c**2 + c - 1. Let q(r) = -5*i(r) - p(r). Give q(9).
-7
Let z(u) be the first derivative of u**4/4 - 4*u**3/3 - 5*u**2/2 + 5*u + 3. Let s be z(5). Let m = s - 4. Let y(l) = -2*l**3 - 2*l**2 + l. Give y(m).
-3
Let h be (-1 - -1) + ((-264)/(-12))/11. Let q(v) = -7*v**2 - v**3 - 8*v + 3 + 0*v**h + 2*v. Suppose 5*i - 8*t = -3*t - 35, 2*t = 2. What is q(i)?
3
Let h(p) = p**2 - 9*p - 29. Let q be h(-3). Let n(k) = 6*k + 0*k - 2*k + 10 - k**2. Give n(q).
-11
Let k = -205 - -209. Let f(l) = -l**3 + 5*l**2 - 2*l + 3. Determine f(k).
11
Let s(t) = -t + 14. Let g be s(10). Let c(d) = -1 - d**3 + 0*d**3 - g*d + 4*d**2 - 1. What is c(4)?
-18
Let d(c) = c**2 - 4*c + 6. Let y = 35 - 32. Let p be d(y). Let q(m) = m**2 - 4. Calculate q(p).
5
Suppose 0 = -2*w - 2*w + 2*a - 34, 27 = -2*w + 3*a. Let h(t) be the second derivative of t**3/3 + 3*t**2/2 + 3*t. What is h(w)?
-9
Suppose -w + 69 = 2*w + 4*i, 0 = 4*w - i - 73. Suppose -m = -5*m + 32. Let k(p) = m*p - w*p + 6*p + 3*p. Give k(1).
-2
Let f be 5/(5 - 0 - 9/2). Let j(x) = -x**2 + 10*x + 8. Give j(f).
8
Let u(d) = d - 25. Let g(s) = 10*s - 275. Let v(a) = -6*g(a) + 65*u(a). Calculate v(-6).
-5
Let w(m) be the first derivative of 8*m - 1/4*m**4 + 13 - 1/2*m**2 + 2*m**3. Determine w(6).
2
Let t(v) = -v + 9 - 2*v**2 + v**3 - 8*v**2 + 4*v**2 + 0*v**2 - 7*v. Give t(6).
-39
Let c(k) = -4*k**2 + 14*k + 12. Suppose 0 = -2*v - 3*o - 5, -3*v - 25 = -6*v + 2*o. Let y(s) = 5*s**2 - 15*s - 13. Let q(u) = v*y(u) + 6*c(u). Determine q(-8).
-1
Let y be (12/(-14))/((-12)/84). Let c(p) = p**2 - 34. Let v be c(y). Let h(j) = j**3 + j**2 + j - 2. Determine h(v).
12
Let m(l) = -2*l - 2. Let j(a) = -a**2 - 6*a - 5. Let h be j(-5). Suppose h = 4*w - 19 - 29. Let n = 10 - w. Give m(n).
2
Let o(s) = 2*s**3 + 17*s**2 + 9*s + 18. Let z(i) = -3*i**3 - 25*i**2 - 13*i - 27. Let g(c) = -7*o(c) - 5*z(c). Determine g(-6).
-3
Let a(m) = -2*m**2 + 33*m - 4. Let u be a(16). Let d(l) = -3*l + 30. What is d(u)?
-6
Let n be 4/14 - (-36)/(-28). Let b(v) = 29*v**2 - 2*v**2 - 125*v - 5*v**2 + 125*v. Give b(n).
22
Let p(s) = -s**2 - 6*s - 6. Let c be (2 - 1/(-3)) + 4/6. Suppose -l = -0*r + 2*r - 5, -2*r = c*l + 5. Calculate p(l).
-1
Let z be (6/9)/(-2*(-1)/(-12)). Let d(q) = 3*q + 8. What is d(z)?
-4
Let p = -17 + 7. Let d(i) = -12*i + 6. Let v(g) = 2*g - 4. Let a(m) = -d(m) - 5*v(m). Give a(p).
-6
Suppose 508 = 48*b - 116. Let y(v) = -v + 15. Give y(b).
2
Let u(s) = s**2 + 8*s + 6. Let z(x) = -1. Let b(n) = 2*n + 21. Let y(o) = -b(o) + 2*z(o). Let w be y(-9). Determine u(w).
-9
Let t = -30 - -34. Suppose -j = -t*j. Let a = 3 - j. Let g(c) = 2*c**2 - 4*c. Give g(a).
6
Let g = 35 + -33. Le | {
"pile_set_name": "DM Mathematics"
} |
3.
6
Let b = 4240984498/2145 + -1977149. Find the common denominator of b and -76/165.
2145
Suppose -167*g - 55*g = 24*g - 2460. Let d = 229 + -121. Suppose 169 = 3*c + 4*m, 3*c + d = 4*m + 293. What is the lowest common multiple of g and c?
590
Let y = -16466461/744 + 595062/31. Let t = y + 2943. Let p = -581 + 5210/9. What is the common denominator of p and t?
72
Let r = -35 - -33. Let k be r/((-2)/1)*-1. Let c = k - -23. Calculate the least common multiple of c and 16.
176
Let i = -210268451/4130 - -356388/7. Find the common denominator of -127/60 and i.
3540
Calculate the common denominator of 8/(-120)*(21/168 + (-1373)/24) and -29/132.
396
Suppose 0 = -4*h + 4*c + 292, 3*c = -h - c + 58. Let w = -106 - -260. What is the lowest common multiple of w and h?
770
Let a = 18/125 + 5427/1375. Let l be 0 - 6*(-1985)/10. Let i = 8375/7 - l. Find the common denominator of a and i.
77
Let g = -894 + 550. What is the common denominator of -91/60 and (2 + g/60)*(-6)/(-4)?
60
Suppose -9*c = -c + 176. Let w = c + 20. Let b = 32 - w. Calculate the least common multiple of b and 8.
136
Let q = -37 - -61. Suppose 24 - 4 = 2*h - 4*y, 2*y + 74 = 5*h. Suppose 468 = h*a - 3*a. Calculate the smallest common multiple of a and q.
72
Let n = 43/114 + 47/228. Find the common denominator of n and ((-77)/114*-2)/1.
228
Let s(b) be the third derivative of -23*b**4/24 - 13*b**3/2 - 82*b**2. What is the smallest common multiple of s(-2) and 5?
35
Let d be 4 + 7 + -1 + 1. Suppose 5*g - d*g = -192. Calculate the smallest common multiple of g and 2.
32
What is the lowest common multiple of 12 and ((-470)/6)/((-12)/108)?
2820
Let r = 12403/60 + -1231/6. Let p = 28/95 - -211/380. Find the common denominator of p and r.
20
Suppose 7*a = 22*a - 1695. Let m = -111 + a. Find the common denominator of 19/48 and 2 - 0 - ((-390)/(-96) + m).
48
Suppose -55048 = -4*h - 2*v, -4*h + 27492 = -2*h - 3*v. Calculate the lowest common multiple of h and 21.
96306
Suppose 2*v = -5*d + 4412, 0 = 4*v - 26 + 2. Calculate the lowest common multiple of 11 and d.
880
Let x be 3552/56 + (3/(-7) - -1). Let j be (-6)/21 - 95/35. Calculate the common denominator of (j + (-4)/(x/116))/4 and 5/11.
176
Calculate the common denominator of 156/(-36) + 5 - (-146)/(-165) and 8/52 - 3356/(-832).
880
Calculate the common denominator of (-6)/9 + ((-11)/(-2) - -1) and 43/306.
306
Suppose k - 4*b = 0, -49*b + 22 = 2*k - 46*b. Calculate the smallest common multiple of 0/(-2) - (-24 - -20) and k.
8
Suppose 5*p = -4*w + 4941, 2540*w + 2*p + 3723 = 2543*w. What is the smallest common multiple of 21 and w?
1239
Suppose 0 = -v + 2*l - 4, 4*v + 30*l - 4 = 33*l. Let a = 77155/2 - 4976534/129. Find the common denominator of (-2)/(-25) - v*3918/(-1600) and a.
1032
Calculate the smallest common multiple of (64/16 - (-30)/(-4))*(-1512)/441 and 42.
84
Let w be -2*4/24 - 22/6. Let t(v) = -v**3 - 3*v**2 + 3*v. Let n be t(w). Suppose -n*p + 97 = 49. Calculate the smallest common multiple of 24 and p.
24
Let m = -82448/285911 - 8903891247637/48604870. Let v = m + 183189. What is the common denominator of v and (-1)/2 - 2/8?
340
Let a(t) = -131*t - 103. Calculate the lowest common multiple of a(-3) and 696.
3480
Suppose 3889*o - 3907*o + 12888 = 0. Calculate the least common multiple of 2 and o.
716
Let t = -5 + 5. Suppose t = 15*v - 17*v - 4. What is the common denominator of -32 and 2/18 + v/6?
9
Let l = 251267 - 2030733/8. Let f = -2562 - l. Calculate the common denominator of -19/142 and f.
568
Calculate the lowest common multiple of 30 and ((-546)/(-28))/((-4)/(-168)).
8190
Let k = 11 - -12. Let n = 28 - k. Suppose 2*d = n*d - 60. Calculate the least common multiple of 22 and d.
220
Let l = -420784459/2640 - -159388. Calculate the common denominator of 28/9 and l.
7920
Let u(z) be the third derivative of z**5/6 - z**4/8 - z**3 - z**2. Suppose -308*i - 824 + 107 = -101. Calculate the least common multiple of 5 and u(i).
40
Let t = 31 - 33. Suppose 3*q - 4*w - 1207 = 285, 5*q - 2456 = -w. Calculate the least common multiple of (0 - -1)/t*q/(-6) and 1.
41
Suppose -8*h - 200 + 2712 = 0. Let b = h + -313. Calculate the lowest common multiple of 6 and b.
6
Let k be (25/10)/(1/(-6)). Let w = 16 + k. Find the common denominator of 12/17 and (9 + w)*(-9)/12.
34
Let d = 86 - -171. Let q = -239 + d. Suppose 3*f = -2*u + 2*f - 1, 4*u = 3*f + 23. What is the least common multiple of q and u?
18
Suppose 2164 = 8*m + 4*l, 2*m + 7*l - 5*l = 542. What is the lowest common multiple of 225 and m?
1350
Suppose -3*w - 5*l + 634 = 0, -2*w - l + 490 - 79 = 0. What is the lowest common multiple of w and 5?
1015
Let x be (-2)/8 + (4 - 6/8). Let q be -6*x/6*-3. Suppose 41 + q = -2*s. Calculate the common denominator of s and -19/16.
16
Let q be (2042/(-66))/(2/1299). Let a = 46722 + -66821. Let n = q - a. Calculate the common denominator of n and 5/8.
88
Let m(w) = 4*w**2 - 21*w - 5. Let x be m(-6). Calculate the common denominator of 47/9 and (-5)/x*402/18.
477
Let l = -5063/740 - -144/37. What is the common denominator of l and 30/(-4)*(111/9 - 6)?
20
Let q be (93/(-62) - (-273)/10)*45. Calculate the lowest common multiple of q/(-86)*2/(-3)*1 and 34.
306
Suppose -3*u - 12 = 0, 44 = -4*i - 2*u + 6*u. Let k be -1*(-132)/9*-6. Find the common denominator of (22/i)/(k/(-605)) and -3/20.
60
Suppose 108*r - 4*z = 112*r - 5036, 3*r - 3*z = 3813. Calculate the lowest common multiple of 506 and r.
2530
Suppose -97326*d = -97335*d + 90. What is the least common multiple of d and (0 - 1)/(2/(-16))?
40
Let s = 23 - 20. Suppose -i = s, -i - 180 = -5*t + 4*i. What is the lowest common multiple of 66 and t?
66
Let f = 6973 - 5968. Calculate the lowest common multiple of f and 2345.
7035
Calculate the common denominator of 51/638 and (-18694)/572 + 4/22.
638
Suppose -430 = -16*u + 21*u. What is the common denominator of (u*2/192)/((-2)/(-3)) and 47?
32
Find the common denominator of ((-39)/7)/(25/10 + -1) and 5/((-630)/(-92))*42/56.
42
Suppose 0 = -5*u - 0*u + 15. Let h = 9802 - 9797. What is the lowest common multiple of u and h?
15
Let i = -788289/412318 + 1/12127. What is the common denominator of 0 - (-3)/30*30/4 and i?
68
Let i(x) = x - 4. Let d be i(0). Let r(u) = u**3 + 5*u**2 + u - 3. Let a(z) = -19451*z + 97258. What is the smallest common multiple of r(d) and a(5)?
9
Let w(l) = 16*l**2 - 189*l - 4. Suppose b + 45 = 6*b. Let f = b + 7. Calculate the smallest common multiple of w(12) and f.
32
Suppose -11*u + 88 = -7*u. What is the smallest common multiple of 8 and 2408/308 - (-4)/u?
8
Suppose -23*l = -654 + 194. Calculate the least common multiple of 4430 and l.
8860
Let i be 2/11 - 1520/(-110) - 1. Suppose -i = 5*j - 5*q - 88, j - 19 = -3*q. What is the smallest common multiple of 42 and j?
336
Let p = 507227/120 - 4227. Find the common denominator of -13/9 and p.
360
Let x(n) = -n**3 + 10*n**2 + n - 128. What is the lowest common multiple of x(7) and 364?
364
Let v(j) be the third derivative of -7*j**4/24 + 157*j**3/6 - 172*j**2 - 2*j. What is the smallest common multiple of (-53)/(-3) + 2/6 and v(19)?
72
Suppose 2*p = 36*p - 918. What is the common denominator of (13 - 7) + (-122)/p and ((-31)/5)/((-36)/(-15))?
108
Let r = 20986/17 + -1234. Find the common denominator of r and -29/85.
85
Let s = 2240 + -100739/45. Calculate the common denominator of -18/25 and s.
225
Let s(y) = -2*y**2 - 2*y**2 + y**3 - 5*y**2 - 5 + 8*y + 3*y**2. Suppose 2*b - 4 = 4*u, 0 = -4*u + 5*u - 4. What is the smallest common multiple of s(5) and b?
10
Suppose 10 = 4*a + 5*o - 29, 3 = o. Let n(q) = -q**3 + 15*q**2 + 17*q + 4. Let d be (-6)/12*-22 - (1 + -6). What is the lowest common multiple of n(d) and a?
60
Suppose -3*s - 3*a - a = -10795, 7*a = 3*s - 10751. Let p = 57419/16 - s. Let v = -112577/16926 - -10/1209. What is the common denominator of p and v?
112
Suppose -126*s + 244512 = -78*s. Calculate the lowest common multiple of s and 1415.
25470
Let u = 225364/51585 + -1/2715. Let s = -2977/190 + u. Find the common denominator of 5 + -1 + (-57)/(-10) and s.
10
What is the smallest common multiple of 88 and (9317/(-3025) - 2/(-25)) + 110?
9416
Let c = -1611020/63 - -25571. What is the common denominator of 125/54 and c?
378
Suppose 0 = 3*f - 0*f - 24. Let j = f + 8. Sup | {
"pile_set_name": "DM Mathematics"
} |
the remainder when 309 is divided by 13 + r/(-5 + 6).
9
Let k = -1 - 16. What is the remainder when (-17 - -13)/((-1)/k*-2) is divided by (16/(-12))/((-3)/27)?
10
Suppose 35 = 66*z - 61*z, 4*w - 134 = -2*z. Calculate the remainder when 785 is divided by w.
5
Suppose 5*n - 2*d = 2*d + 30, -4*d = 5*n + 10. Let u(k) = 3*k - 4. Let m be u(n). Suppose -3*w + m = -4. What is the remainder when 6 is divided by w?
0
Suppose 833 = -8*n - 1423. Let w be 6/8 - (n/8 - -6). Suppose -182*j + w = -180*j. Calculate the remainder when j is divided by 5.
0
Let d = 232 + -191. Let z = -211 - -454. What is the remainder when z is divided by d?
38
Let y = -145 - -187. Suppose y*r = 17*r + 650. Calculate the remainder when r is divided by 16.
10
Let u = -248 - -174. Let y = -66 - u. Calculate the remainder when 3 - (-11 - 3 - 3) is divided by y.
4
Let w = -434482 + 434490. Let s be -1*5/(-2)*-4. What is the remainder when (6 - 1)*(-52)/s is divided by w?
2
Let m(c) = 2*c**2 + 118*c - 93. What is the remainder when 2428 is divided by m(-61)?
12
Let f = 69 - 26. Let j(m) = 2*m**2 - 5*m - 37. Let d = 461 - 465. Calculate the remainder when f is divided by j(d).
13
Suppose 3*n - 68 = i - n, -2*i = 3*n + 92. Let a = 33 + i. Let q(j) = -j**3 - 18*j**2 + 17*j - 18. What is the remainder when q(a) is divided by 12?
8
Let i(c) = 196*c + 1990. What is the remainder when 98 is divided by i(-10)?
8
Suppose -39*g + 44*g - 1009 = 2*z, 2*g + 3*z - 396 = 0. What is the remainder when g is divided by 59?
24
Suppose -5*d - 4312 + 47 = -5*n, -n + 2*d + 856 = 0. What is the remainder when n is divided by 8?
2
Let g(z) = -z**3 - 15*z**2 - 42*z - 133. What is the remainder when 209 is divided by g(-13)?
59
Suppose 0 = 376*p - 426*p + 6950. What is the remainder when p is divided by 95?
44
Suppose 83 = 4*a + 3*b, 371*b + 39 = 2*a + 370*b. What is the remainder when 219 is divided by a?
19
What is the remainder when (-178)/534*(-879)/1 is divided by 104?
85
Let z = -182 - -181. What is the remainder when (z/(-2))/(4/(-5 - -525)) is divided by 17?
14
Let b(h) = 25*h + 1 + 24*h - 46*h. Let d be b(5). Let r = 46 - d. Calculate the remainder when r is divided by 16.
14
Let p(g) = 2*g**2 + 21. Let x = 356 - 294. What is the remainder when p(5) is divided by x?
9
Let k = -34 + 34. Suppose k = y + 3*y. Suppose y = 8*d - 127 - 689. Calculate the remainder when d is divided by 26.
24
Suppose 16*t - 658 - 20 = -70. Calculate the remainder when 441 is divided by t.
23
Let l be (3 - -1) + -6 - -29. Let c = l + -6. Calculate the remainder when c is divided by 2.
1
Let a be (0 - -1)/(3/309). Suppose 4*r - a = -35. Let w(b) = b**3 - b**2 + 6*b - 31. Calculate the remainder when r is divided by w(3).
2
Let b(w) = -w**3 + 5*w**2 - 1. Suppose 0 = -10*q + 305 + 58 + 947. Calculate the remainder when q is divided by b(3).
12
Suppose 2*w + 3*r = 20, -2*w - 13 = 5*r - 41. Suppose -2*k + 105 = z, w*k - 115 = 5*z + 74. What is the remainder when k is divided by 30?
21
Suppose 26*i = 3220 + 1564. Let g = -47 + -4. Let y = -14 - g. What is the remainder when i is divided by y?
36
Let t = -7 + 46. Suppose 17 = 3*s + 2*i, 10*s + 13 = 13*s + 4*i. Suppose -2*l + 684 = s*l. What is the remainder when l is divided by t?
37
Let j = 33 + -29. Suppose 4*z - 2*g = 3*z + 333, -4*g = -j*z + 1320. What is the remainder when z is divided by 15?
12
Let i(j) = j**2 - 259*j - 10047. What is the remainder when 926 is divided by i(-35)?
197
Suppose c + a - 30 = 0, -5*c + 9*a + 110 = 4*a. What is the remainder when (((-474)/5)/(-2))/(c/130) is divided by 30?
27
Let d(m) = m**3 + 15*m**2 - 2*m - 150. What is the remainder when 1113 is divided by d(-14)?
3
Suppose 0*q - 2*q + 34 = -2*z, -3*q + 21 = -z. Let y(r) = r**2 + 15*r + 62. What is the remainder when 179 is divided by y(z)?
55
Suppose -24 - 140 = -4*d. Suppose 7*t = -111 - 253. Let h = -31 - t. Calculate the remainder when d is divided by h.
20
Suppose -290*d - 1952 = -306*d. What is the remainder when d is divided by 30?
2
Suppose 12*l + 9458 + 15556 = 34*l. What is the remainder when 1150 is divided by l?
13
Let c be ((-4)/(-14))/(6/84). Let h be c*3/30 - (-14930)/50. Suppose 0 = 2*r + 2, -r + h = -5*w + 870. What is the remainder when w is divided by 23?
22
Let j(t) = 7*t + 15*t - 1 - 10*t. What is the remainder when j(2) is divided by 11?
1
Let d = -5463 - -5576. Calculate the remainder when 1353 is divided by d.
110
Let u(b) = 23*b - 49. Let t be u(7). Let f(z) = -3*z. Calculate the remainder when 48/t - (-172)/7 is divided by f(-5).
10
Let m(h) = -h + 13*h + 8*h + 3*h**2 + 68 - 2*h**2. What is the remainder when 20 is divided by m(-17)?
3
Calculate the remainder when 1 - (-68 + -1 + 1) is divided by (-2 + 72/16)/((-25)/(-360)).
33
Let k = -107 + 271. Calculate the remainder when k is divided by (-159)/(-1272)*(296 + 0).
16
Suppose -3*o + 4*o = -2, 2*b + 4*o - 96 = 0. Suppose 3 = -j + 12. Suppose 30 = j*k - 78. Calculate the remainder when b is divided by k.
4
Suppose 15*l = 3*l. What is the remainder when 188 is divided by (-21)/((-1 + l)*(11 + -10))?
20
Let v(m) = -m**3 + 10*m**2 - 21*m - 17. Let q be v(5). Suppose -z + 2*t = -20, -q*z - 27 = -3*t - 81. What is the remainder when 23 is divided by z?
7
Let b(a) = -39*a. Let z be b(-1). Let d be (-36)/(-30)*220/6. Let r = d - z. Calculate the remainder when 12 is divided by r.
2
Suppose -3*b = c - 102, -2*c = -5*b - 0*c + 181. What is the remainder when 498 is divided by b?
8
Let j(p) = 51*p**2 + 84*p - 165. Calculate the remainder when j(2) is divided by 53.
48
Let m = -34888 + 34909. Calculate the remainder when 1083 is divided by m.
12
Suppose -24 = -15*w + 9*w. Calculate the remainder when 37 is divided by ((w/5)/(20/150))/1.
1
Let l be ((-309)/12)/((-9)/36). Let q = l - 61. Calculate the remainder when q is divided by 38.
4
Let n be (-84)/(-35) + 4/(-10). Suppose -4*o - n*u + 112 = 0, -2*o = -2*u + 5*u - 52. What is the remainder when o is divided by (192/60)/(4/10)?
5
Suppose 1925 = 40*p - 35*p. Let i = 911 + -833. What is the remainder when p is divided by i?
73
Suppose 0 = -2*r - 4*c + 20, 2*r - 14 = -3*c + 3. Suppose 4*n = 3*n + r*l + 5, -l = -4. What is the remainder when 74 is divided by n?
11
Calculate the remainder when (-27)/55 - 6/(-15) - 333094/(-638) is divided by 66.
60
Suppose 15*y = 3*y + 4172 - 908. Calculate the remainder when y is divided by 28.
20
Suppose 58423 - 8554 = 14*l + 13*l. Calculate the remainder when l is divided by 388.
295
Let u(s) = -s**2 - 38*s - 300. What is the remainder when 3465 is divided by u(-12)?
9
Suppose -64 = 4*q - 80. Suppose 300 = -q*a + 7*a. Let l = -54 + a. What is the remainder when l is divided by 16?
14
Let m(w) = w**3 - w**2 + 8. What is the remainder when ((-78)/15093*-43)/(1/603) is divided by m(0)?
6
Suppose 5*k = 5*w + 90, -3*k - 47*w + 53 = -49*w. Suppose 0 = -4*h + 36 + 228. What is the remainder when h is divided by k?
15
Suppose -5*a - 3*q + 463 = 0, 4*q = 33*a - 35*a + 188. What is the remainder when 899 is divided by a?
71
Let n = -64 + 43. Calculate the remainder when (-705)/n - (-28)/(-49) is divided by ((10 + 2)*4/8)/1.
3
Let w(z) = -137*z + 2197. What is the remainder when 421 is divided by w(15)?
137
Let t = 10520 + -10516. Calculate the remainder when 1900 is divided by t.
0
Let s(k) = -k**3 + 0*k**3 - 3*k**3 + 12*k**2 + 5*k**3 + 13*k + 13. Let x be s(-11). What is the remainder when x/3 - (1 - -1)*-7 is divided by 2?
1
Suppose -147 = -4*t + 5*o, -o - 100 = -2*t - 19. Suppose 0 = 14*m - 32*m + 2196. Calculate the remainder when m is divided by t.
36
Let x(y) = y**3 + 6*y**2 + 2*y + 1. Let g(j) = 16*j + 303. Let s be g(14). Let r = 599 - s. Calculate the remainder when r is divided by x(-4).
22
Let o(m) = 257*m**2 + 15*m + 1. Let g be o(2). Let p = -1037 + g. Calculate the remainder when (173/(-2))/((-1)/2) is divided by p.
19
Let d(x) = x**2 - 32*x - 16. What is the remainder when d(-11) is divided by 14?
9
Suppose 0*a - 15 = -a + 5*s, -3*a + 3*s = -9. Suppose a = -12*p + 8*p + 76. Let c = -38 + 45. Calculate the remainder when p is divided by c.
5
Suppose 5*r - 8*r + 3*d = -426, -10 = 5*d. Suppose 0 = -11*o + 25*o - r. What is the remainder when ((-92)/(-10))/(1/5) is divided by o?
6
Let g(o) = -23*o + 79 + 40*o + 47. Calculate the remainder whe | {
"pile_set_name": "DM Mathematics"
} |
1476
What is the common denominator of 68/75 and 37/24?
600
What is the smallest common multiple of 16 and 72?
144
Calculate the smallest common multiple of 5 and 11.
55
Calculate the common denominator of -87/440 and -81/980.
21560
Find the common denominator of -99/260 and 71/936.
4680
What is the common denominator of 5/448 and 39/64?
448
Calculate the common denominator of 4 and -53/121.
121
Calculate the smallest common multiple of 370 and 20.
740
What is the smallest common multiple of 30 and 21?
210
Find the common denominator of 89/1228 and 95/16.
4912
Calculate the smallest common multiple of 44 and 77.
308
Find the common denominator of -23/6556 and -69/308.
45892
Calculate the common denominator of 21/10 and 9/719.
7190
Calculate the common denominator of -43/326 and 131/30.
4890
Calculate the common denominator of -5/18 and -163/1350.
1350
What is the common denominator of 83/2610 and -7/116?
5220
What is the common denominator of -133/240 and 5/96?
480
Calculate the least common multiple of 8 and 2440.
2440
What is the lowest common multiple of 119 and 70?
1190
Calculate the smallest common multiple of 98 and 42.
294
What is the lowest common multiple of 54 and 48?
432
What is the lowest common multiple of 49 and 91?
637
What is the smallest common multiple of 7 and 1340?
9380
What is the smallest common multiple of 33 and 90?
990
Calculate the smallest common multiple of 3960 and 385.
27720
What is the common denominator of 89/30 and -19/13600?
40800
Calculate the least common multiple of 12 and 104.
312
Calculate the common denominator of 17/72 and 107/56.
504
Calculate the smallest common multiple of 104 and 16.
208
What is the common denominator of -70/3 and 37/970?
2910
Calculate the common denominator of 29/190 and -25/536.
50920
What is the common denominator of -35/222 and 40/1221?
2442
What is the least common multiple of 4 and 10?
20
What is the least common multiple of 246 and 410?
1230
Find the common denominator of 117/20 and 17/406.
4060
What is the least common multiple of 1214 and 18?
10926
What is the common denominator of -83/4 and -27/58?
116
What is the common denominator of -61/16 and 125/72?
144
Calculate the smallest common multiple of 100 and 732.
18300
Calculate the least common multiple of 96 and 48.
96
Find the common denominator of 73/10 and -79/11974.
59870
What is the lowest common multiple of 92 and 12?
276
Find the common denominator of -9/52 and 22/169.
676
What is the common denominator of -30/121 and 107/286?
3146
Calculate the lowest common multiple of 9 and 1.
9
Calculate the smallest common multiple of 238 and 25.
5950
Calculate the common denominator of -49/24 and 55/1488.
1488
What is the lowest common multiple of 1141 and 489?
3423
Calculate the lowest common multiple of 24 and 84.
168
What is the lowest common multiple of 625 and 115?
14375
What is the common denominator of 145/10032 and 123/2090?
50160
Calculate the common denominator of 58/3795 and 5/22.
7590
Calculate the common denominator of -107/18 and 10/1311.
7866
Calculate the common denominator of 99/1216 and 77/96.
3648
Find the common denominator of 53/231 and 73/63.
693
Calculate the smallest common multiple of 180 and 9720.
9720
Calculate the common denominator of -97/138 and 13/14.
966
Calculate the lowest common multiple of 2589 and 12.
10356
Calculate the least common multiple of 112 and 14.
112
Find the common denominator of 19/930 and -37/75.
4650
Find the common denominator of 91/1620 and -49/720.
6480
Calculate the common denominator of -11/27 and 33/64.
1728
What is the lowest common multiple of 9 and 69?
207
Find the common denominator of 11/861 and 3/7.
861
What is the common denominator of -41/770 and -137/210?
2310
What is the lowest common multiple of 380 and 190?
380
Find the common denominator of -26/11 and -55/9.
99
Calculate the lowest common multiple of 20 and 4632.
23160
What is the least common multiple of 2355 and 1256?
18840
Find the common denominator of 95/44 and 61/20.
220
Calculate the common denominator of -59/2694 and 119/12.
5388
Calculate the least common multiple of 172 and 112.
4816
What is the least common multiple of 6 and 8873?
53238
Calculate the common denominator of -1/7491 and 82/15.
37455
What is the smallest common multiple of 1580 and 36?
14220
Calculate the least common multiple of 741 and 247.
741
Calculate the common denominator of -68/3 and -21/2026.
6078
Find the common denominator of -95/648 and 1/648.
648
What is the smallest common multiple of 266 and 266?
266
Calculate the least common multiple of 184 and 253.
2024
What is the common denominator of -83/42 and -123/20?
420
What is the smallest common multiple of 22 and 204?
2244
What is the least common multiple of 781 and 213?
2343
What is the lowest common multiple of 6 and 2934?
2934
Calculate the common denominator of 2/73 and -19.
73
What is the smallest common multiple of 40 and 350?
1400
What is the common denominator of -19/901 and 37/4?
3604
What is the least common multiple of 868 and 36?
7812
What is the common denominator of 37/133 and -15/76?
532
What is the common denominator of 7/3956 and 47/43?
3956
What is the smallest common multiple of 171 and 4?
684
Calculate the lowest common multiple of 301 and 258.
1806
What is the smallest common multiple of 21 and 30?
210
What is the smallest common multiple of 4752 and 288?
9504
What is the common denominator of -101/22 and -77/5062?
55682
Calculate the smallest common multiple of 5 and 324.
1620
Calculate the least common multiple of 24 and 26.
312
Calculate the lowest common multiple of 50 and 24.
600
What is the common denominator of -41/255 and 1/136?
2040
What is the least common multiple of 270 and 540?
540
Calculate the common denominator of 47/250 and -61/4.
500
Calculate the smallest common multiple of 39 and 15.
195
Calculate the common denominator of 7/8 and -27/2.
8
What is the lowest common multiple of 2434 and 14?
17038
What is the lowest common multiple of 4 and 232?
232
Calculate the lowest common multiple of 2 and 68.
68
Calculate the least common multiple of 21 and 465.
3255
Calculate the smallest common multiple of 284 and 16.
1136
Find the common denominator of -41/17810 and -25/8.
71240
What is the least common multiple of 10 and 100?
100
What is the common denominator of 109/36 and -49/52?
468
What is the common denominator of 99/640 and 49/384?
1920
Find the common denominator of -25/558 and -117/20.
5580
What is the lowest common multiple of 180 and 30?
180
Calculate the common denominator of -25/119 and -157/42.
714
Calculate the least common multiple of 10535 and 5.
10535
Calculate the common denominator of 1/273 and 47/24.
2184
What is the common denominator of -145/48 and -63/92?
1104
Find the common denominator of -95/48 and -83/88.
528
Calculate the common denominator of -22/689 and -89/4.
2756
What is the least common multiple of 16 and 872?
1744
Calculate the smallest common multiple of 10 and 667.
6670
Calculate the smallest common multiple of 90 and 72.
360
Calculate the common denominator of -47/3432 and -77/48.
6864
Calculate the common denominator of -87/284 and 5/16.
1136
Calculate the smallest common multiple of 80 and 150.
1200
What is the lowest common multiple of 10388 and 5936?
41552
Calculate the lowest common multiple of 12 and 686.
4116
Calculate the common denominator of -49/260 and -47/104.
520
Find the common denominator of 79/1136 and 81/20.
5680
What is the smallest common multiple of 44 and 128?
1408
Calculate the common denominator of -71/2158 and 157/78.
6474
What is the smallest common multiple of 224 and 1?
224
What is the common denominator of -13/27 and -145/366?
3294
Find the common denominator of -43/75 and -47/315.
1575
What is the common denominator of 145/72 and 83/20148?
120888
What is the lowest common multiple of 3025 and 1100?
12100
Find the common denominator of 99/28 and 95/56.
56
What is the smallest common multiple of 60 and 604?
9060
What is the common denominator of -41/2216 and 25/2?
2216
Calculate the smallest common multiple of 2295 and 2550.
22950
What is the lowest common multiple of 341 and 93?
1023
What is the common denominator of -55/12 and -29/56?
168
What is the smallest common mu | {
"pile_set_name": "DM Mathematics"
} |
77?
37432
In base 14, what is 0 - -22321?
22321
In base 10, what is -17 - -673?
656
In base 7, what is -2 - -3334?
3332
In base 11, what is -11 + 69757?
69746
In base 14, what is -16 + 228b4?
2289c
In base 8, what is -5 - -303237?
303232
In base 5, what is -22 + 3441?
3414
In base 7, what is 3 - -3605544?
3605550
In base 2, what is -11 - -10101110?
10101011
In base 15, what is -1c6 + 8c?
-139
In base 5, what is -1 + 3324423?
3324422
In base 6, what is -45 - -1204?
1115
In base 6, what is 1014002 - -1?
1014003
In base 12, what is -b9871 + -3?
-b9874
In base 14, what is 1027 - -37d?
13a6
In base 15, what is -33ca - -1?
-33c9
In base 12, what is 1a83 + 9?
1a90
In base 11, what is -7964 - -4?
-7960
In base 3, what is 20 + -102222112?
-102222022
In base 16, what is d8 - 0?
d8
In base 8, what is 125 + 766?
1113
In base 10, what is -1865 + 40?
-1825
In base 15, what is 59807d - -4?
598082
In base 13, what is 91548 - -3?
9154b
In base 10, what is -3 + 1947?
1944
In base 9, what is 115370 + 4?
115374
In base 9, what is 2 - -40135?
40137
In base 3, what is -100111122 - 122?
-100112021
In base 4, what is 2113132032 + 3?
2113132101
In base 12, what is -2 - -216a0a?
216a08
In base 16, what is -1522e + 0?
-1522e
In base 4, what is 110 - 12103?
-11333
In base 14, what is -13 + 611b?
6108
In base 7, what is -42136 + -31?
-42200
In base 12, what is 3904265 - -5?
390426a
In base 15, what is 162b6 + c?
162c3
In base 4, what is -1 - 10221200?
-10221201
In base 4, what is 121212 + -11?
121201
In base 5, what is -3 + -322413?
-322421
In base 4, what is 10 + 130101?
130111
In base 14, what is -d + 7c5?
7b6
In base 3, what is 21120212 + 11?
21121000
In base 15, what is 4da5 - -c?
4db2
In base 14, what is 2d6b - -14?
2d81
In base 10, what is 72356 + 4?
72360
In base 10, what is 6299 + -22?
6277
In base 14, what is -5 + -37c?
-383
In base 16, what is f - -11e0?
11ef
In base 7, what is -3 - -2041625?
2041622
In base 7, what is 106135 + -23?
106112
In base 13, what is -4b408 + -15?
-4b420
In base 5, what is -311 + -22?
-333
In base 5, what is 131304100 + 2?
131304102
In base 10, what is 15 + 74582?
74597
In base 9, what is -642142 - 5?
-642147
In base 7, what is -3130436 - -23?
-3130413
In base 15, what is -c - 1ee2c?
-1ee39
In base 7, what is 16 + -15011?
-14662
In base 14, what is 4 - -3d14?
3d18
In base 10, what is 28 - 9010?
-8982
In base 11, what is 0 + 1636a?
1636a
In base 10, what is -23 + 200015?
199992
In base 10, what is -6 + -1753642?
-1753648
In base 3, what is -10221020 - 11012?
-11002102
In base 15, what is 3b8 + 73e?
b07
In base 5, what is 43210440 - 4?
43210431
In base 4, what is -1230 + 112000?
110110
In base 4, what is 22320121 - -1?
22320122
In base 13, what is 2c + -69a?
-66b
In base 10, what is 388 - 7?
381
In base 8, what is 4 + 64?
70
In base 8, what is 43 + 552551?
552614
In base 16, what is -2d0ae + 0?
-2d0ae
In base 15, what is -13 + 3290?
327c
In base 13, what is 2 + 4c05?
4c07
In base 15, what is -10d0b + 7?
-10d04
In base 4, what is 2 - -110210323?
110210331
In base 5, what is 12 + 1013130?
1013142
In base 15, what is -97 - -a14c?
a0a5
In base 8, what is 0 - 12413?
-12413
In base 12, what is 3 - -61223?
61226
In base 5, what is 101431 - -10?
101441
In base 14, what is 186 + -1c?
168
In base 4, what is -21310 + 33311?
12001
In base 14, what is -25cc6 - -5?
-25cc1
In base 9, what is -7 + -462858?
-462866
In base 10, what is 937 + -1195?
-258
In base 5, what is 22323423 + -103?
22323320
In base 6, what is 242 + -5305?
-5023
In base 9, what is 17 + 14537?
14555
In base 11, what is 3 - 43535?
-43532
In base 15, what is 2 + 29e1a?
29e1c
In base 15, what is -235b3 - -2?
-235b1
In base 14, what is -2 - 1341d?
-13421
In base 4, what is 11 - -22111211?
22111222
In base 14, what is 6b + -3a3?
-336
In base 12, what is -293b - 296?
-3015
In base 11, what is 3 + 4a3087?
4a308a
In base 13, what is -a191 + -146?
-a307
In base 7, what is 5 + 11624?
11632
In base 12, what is -59 + -5b9?
-656
In base 7, what is 1110243 - -1?
1110244
In base 11, what is 1203660 - 2?
1203659
In base 6, what is -2525 + 315?
-2210
In base 3, what is 100120010 + -1120?
100111120
In base 11, what is 4 + -14928?
-14924
In base 11, what is -1a76 - 4?
-1a7a
In base 2, what is -100110101000 + -10?
-100110101010
In base 2, what is -1001110001001 + 1000001110?
-1000101111011
In base 12, what is -17 + 141202?
1411a7
In base 9, what is -183 + -4624?
-4817
In base 6, what is -3 + 1321232?
1321225
In base 16, what is 5aaf1 - 4?
5aaed
In base 2, what is 100010001000111001111 - -1?
100010001000111010000
In base 16, what is 36d042 - -1?
36d043
In base 14, what is -10b4 - 4?
-10b8
In base 6, what is -1 + -1003314?
-1003315
In base 3, what is -22220000020 + -20?
-22220000110
In base 4, what is -22 + 21032222?
21032200
In base 16, what is 210 + 22?
232
In base 10, what is 379 + -1559?
-1180
In base 15, what is 345a - 3e?
341b
In base 5, what is -110011 - 34?
-110100
In base 16, what is 313 - e1?
232
In base 15, what is 392728 - 2?
392726
In base 3, what is -11 - -1101102020?
1101102002
In base 11, what is 11693 + -9?
11685
In base 4, what is 1101322 + -2?
1101320
In base 2, what is -101 - -1001101111011011001?
1001101111011010100
In base 6, what is -435 + 12331?
11452
In base 2, what is -1001001101000111010 + 0?
-1001001101000111010
In base 15, what is 3 + -775?
-772
In base 13, what is 13b27 + 1?
13b28
In base 4, what is 1010332 + 0?
1010332
In base 6, what is 403 - -110?
513
In base 11, what is 19 + -459?
-440
In base 11, what is -33 - -1189?
1156
In base 4, what is -22010 - 20?
-22030
In base 3, what is 11 - 10101?
-10020
In base 11, what is -217 + 227a?
2063
In base 7, what is -2031014 + -3?
-2031020
In base 9, what is -3108 + -25?
-3134
In base 4, what is -10 + 300022231?
300022221
In base 2, what is 10 - -10000000100000?
10000000100010
In base 14, what is 5 - -14c0?
14c5
In base 7, what is -304 - -1050?
443
In base 3, what is -1211 - 1011?
-2222
In base 11, what is -3 + 109097?
109094
In base 5, what is 1230121134 + -2?
1230121132
In base 13, what is -3 - 8597?
-859a
In base 15, what is 113 + 1c8?
2db
In base 12, what is -4483b - -1?
-4483a
In base 9, what is 57011 - -5?
57016
In base 9, what is -4 + -847130?
-847134
In base 4, what is 101320222 + -20?
101320202
In base 3, what is 200 + 122202?
200102
In base 13, what is 59 - 7b0?
-754
In base 8, what is 0 + -143461?
-143461
In base 16, what is -9 - -c298f?
c2986
In base 10, what is 1173 - 3?
1170
In base 6, what is -2454132 - -4?
-2454124
In base 9, what is -28 + 30627?
30588
In base 7, what is 3144 + -604?
2240
In base 14, what is 3 + -d469b?
-d4698
In base 15, what is -8 + -45307?
-45310
In base 4, what is -10321111 + -20?
-10321131
In base 9, what is 2227 - -15?
2243
In base 3, what is -2122 - 100122211?
-100202110
In base 13, what is 10a85 - 3?
10a82
In base 13, what is 1c506 + -3?
1c503
In base 3, what is -100122 - -200121?
22222
In base 3, what is 12 + -10022112212020?
-10022112212001
In base 15, what is -15e90 + -4?
-15e94
In base 6, what is 1141324 - -3?
1141331
In base 13, what is -586 - -c9?
-48a
In base 14, what is -57a6 - -7?
-579d
In base 2, what is 1000 - -1001001?
1010001
In base 16, what is 0 - -1f58f?
1f58f
In base 11, what is 5461 - 17?
5445
In base 14, what is 91 - -59?
10a
In base 7, what is 443340 + -3?
443334
In base 10, what is 72474 + -16?
72458
In base 3, what is 212010 + -10222?
201011
In base 16, what is 1d + -e5e6?
-e5c9
In base 14, what is -2341 + -1d?
-2360
In base 8, what is 2702633 + -4?
2702627
In base 16, what is -7 + -d?
-14
In base 14, what is 280a18 + -2?
280a16
In base 12, what is -6a81 + 3?
-6a7a
In base 8, what is 156 + -5255?
-5077
In base 11, what is -6 + -1801?
-1807
In base 2, what is 100110100 + -100001111011101?
-100001010101001
In base 3, what is 210 + -1210010?
-1202100
In base 4, what is 102 - 11103302?
-11103200
In base 6, what is 5 + 1020403?
1020412
In base 7, what is -4 + 6621?
6614
In base 4, what is -1001322110 + 22?
-1001322022
In base 8, what is 574261 - 1?
574260
In base 9, what is -435738 - 2?
-435741
In base 14, what is 2 + -1a18?
-1a16
In base 13, what is b - -38a5?
38b3
In base 13, what is -377 + -369?
-713
In base 12, what is 8 + b599?
b5a5
In base 13, what is 34 + -49?
-15
I | {
"pile_set_name": "DM Mathematics"
} |
o three dps?
-0.111
Round 9.7478882 to three dps.
9.748
What is 29430010 rounded to the nearest 1000000?
29000000
What is 0.01096625 rounded to five decimal places?
0.01097
Round -0.964077 to 3 decimal places.
-0.964
Round 2725.2855 to the nearest 100.
2700
What is 0.0000032370017 rounded to seven decimal places?
0.0000032
What is 0.000564401 rounded to 4 decimal places?
0.0006
Round 0.00000559482 to seven decimal places.
0.0000056
Round -2.01408 to 0 decimal places.
-2
Round -3498090 to the nearest 10000.
-3500000
What is -246396.9 rounded to the nearest ten thousand?
-250000
What is -0.001361274 rounded to four dps?
-0.0014
What is 6105.03 rounded to the nearest 10?
6110
What is 0.0000185222 rounded to seven dps?
0.0000185
Round -0.0000109117 to seven dps.
-0.0000109
What is -308.5708 rounded to the nearest 10?
-310
What is -1186490 rounded to the nearest ten thousand?
-1190000
Round 4.83968 to 1 decimal place.
4.8
What is 0.27865371 rounded to 3 dps?
0.279
Round 0.0000127699 to 7 dps.
0.0000128
Round 0.0000389814 to six dps.
0.000039
Round -201864.1 to the nearest 100.
-201900
Round 2242470 to the nearest ten thousand.
2240000
Round 229.134 to the nearest integer.
229
Round -43855810 to the nearest one million.
-44000000
What is -0.61680746 rounded to one dp?
-0.6
What is -197.2444 rounded to one dp?
-197.2
Round 0.0021601065 to four dps.
0.0022
What is 0.01024281 rounded to 5 dps?
0.01024
What is 0.00372892 rounded to four decimal places?
0.0037
What is -1018350400 rounded to the nearest 1000000?
-1018000000
What is 17.98611 rounded to two decimal places?
17.99
What is 0.086235349 rounded to 5 dps?
0.08624
What is 6938.27 rounded to the nearest 10?
6940
Round -146.89474 to the nearest ten.
-150
What is 93543013 rounded to the nearest ten thousand?
93540000
Round 95466900 to the nearest 100000.
95500000
What is -0.00000221236 rounded to 6 dps?
-0.000002
Round 8557911 to the nearest ten thousand.
8560000
What is 0.002065995 rounded to 6 decimal places?
0.002066
Round -552.185 to the nearest 100.
-600
What is 0.0007174718 rounded to 7 dps?
0.0007175
What is 20772530 rounded to the nearest 10000?
20770000
What is -8.275 rounded to 0 dps?
-8
Round -128.087 to zero decimal places.
-128
What is -740956700 rounded to the nearest 1000000?
-741000000
What is -0.0000009930448 rounded to seven dps?
-0.000001
Round -124003.25 to the nearest 100.
-124000
Round -0.005055152 to 5 dps.
-0.00506
Round -2.27058 to the nearest 10.
0
What is 0.856008 rounded to 2 dps?
0.86
What is -101122.9 rounded to the nearest ten thousand?
-100000
What is 0.00003696645 rounded to 7 dps?
0.000037
Round -206891.1 to the nearest ten thousand.
-210000
What is 2445432000 rounded to the nearest 1000000?
2445000000
What is 41292.28 rounded to the nearest 1000?
41000
What is 0.00001186753 rounded to six decimal places?
0.000012
Round -36.131 to 0 dps.
-36
What is -0.7982184 rounded to 3 dps?
-0.798
What is -33.185475 rounded to one dp?
-33.2
What is 217314800 rounded to the nearest 1000000?
217000000
Round -6669.436 to the nearest one thousand.
-7000
Round -0.15184074 to two decimal places.
-0.15
Round 66.52478 to the nearest 10.
70
What is 0.0353078 rounded to 1 dp?
0
What is 30392.026 rounded to the nearest 100?
30400
Round 8583.1 to the nearest 100.
8600
What is -0.066615097 rounded to three decimal places?
-0.067
What is 2780.541 rounded to the nearest integer?
2781
What is 0.00013679933 rounded to 5 dps?
0.00014
What is -54551691 rounded to the nearest ten thousand?
-54550000
What is 61396 rounded to the nearest 10000?
60000
Round -2.948189 to 1 dp.
-2.9
Round -0.67316 to two dps.
-0.67
Round 0.00174494 to 3 decimal places.
0.002
What is -632230 rounded to the nearest 1000?
-632000
What is -0.0124061 rounded to four decimal places?
-0.0124
Round 0.2133939 to four dps.
0.2134
Round -1344408 to the nearest one hundred thousand.
-1300000
Round -450.007 to the nearest 10.
-450
What is 0.00028115 rounded to five dps?
0.00028
What is 0.6388182 rounded to two dps?
0.64
What is 80.864 rounded to one decimal place?
80.9
What is -0.0327842 rounded to 3 decimal places?
-0.033
Round -0.0002297242 to five decimal places.
-0.00023
Round -0.3399574 to four dps.
-0.34
Round 359985.4 to the nearest 10000.
360000
Round -1236.0022 to 0 decimal places.
-1236
What is 18464890 rounded to the nearest ten thousand?
18460000
Round -0.000718823 to 6 dps.
-0.000719
What is -3599635.3 rounded to the nearest ten thousand?
-3600000
Round 1255564 to the nearest one hundred thousand.
1300000
What is 0.00003984817 rounded to six decimal places?
0.00004
What is 6372902.4 rounded to the nearest one million?
6000000
What is -42595000 rounded to the nearest 1000000?
-43000000
What is 156.819 rounded to 0 decimal places?
157
What is -4853681000 rounded to the nearest 1000000?
-4854000000
Round -17342530 to the nearest 1000000.
-17000000
Round 20515.5 to the nearest 10000.
20000
Round -11341.64 to the nearest 10.
-11340
Round -245.8193 to the nearest integer.
-246
What is -0.00390517 rounded to 3 decimal places?
-0.004
What is -0.375569 rounded to three dps?
-0.376
What is 0.0000010256973 rounded to 7 decimal places?
0.000001
What is -1881773 rounded to the nearest one million?
-2000000
What is -416369 rounded to the nearest 1000?
-416000
Round -5768.5 to the nearest one hundred.
-5800
Round -10.02214 to one decimal place.
-10
Round 3082.34 to the nearest ten.
3080
Round -53.46079 to zero decimal places.
-53
Round 3142.412 to the nearest 1000.
3000
Round 0.00957177 to 5 decimal places.
0.00957
Round 93767700 to the nearest one million.
94000000
What is 18.45965 rounded to 2 decimal places?
18.46
What is -0.000024594276 rounded to 7 dps?
-0.0000246
Round -0.0001761621 to seven decimal places.
-0.0001762
What is -24260.1 rounded to the nearest one hundred?
-24300
What is -19522.75 rounded to the nearest ten thousand?
-20000
Round -0.0000009094086 to seven decimal places.
-0.0000009
Round 5.694339 to 0 decimal places.
6
What is 0.02438535 rounded to 3 decimal places?
0.024
Round -7933510 to the nearest one thousand.
-7934000
Round -30.19514 to 0 dps.
-30
What is -0.006220391 rounded to four dps?
-0.0062
Round -0.000012034 to seven dps.
-0.000012
Round 28.40548 to the nearest ten.
30
Round 0.0299255 to two dps.
0.03
Round 0.0000108181 to six dps.
0.000011
What is 1763.7 rounded to the nearest 10?
1760
What is 10.92129 rounded to 0 decimal places?
11
What is -0.00040114311 rounded to seven decimal places?
-0.0004011
Round -30043050 to the nearest ten thousand.
-30040000
What is 26394.213 rounded to the nearest ten?
26390
What is 11435163 rounded to the nearest 1000000?
11000000
Round -34654.01 to the nearest 10000.
-30000
Round 964215 to the nearest one thousand.
964000
Round -47705.247 to the nearest one thousand.
-48000
Round -5.526762 to 2 dps.
-5.53
Round 0.000571182 to six dps.
0.000571
What is -0.00895627 rounded to four decimal places?
-0.009
What is 3240355.8 rounded to the nearest one hundred thousand?
3200000
What is 0.046394961 rounded to 5 decimal places?
0.04639
Round 14201.3 to the nearest 100.
14200
What is 0.6458615 rounded to two decimal places?
0.65
Round -0.242442 to two decimal places.
-0.24
Round 1209887 to the nearest 1000000.
1000000
What is 0.1837056 rounded to 2 decimal places?
0.18
What is 14937.7 rounded to the nearest 10?
14940
Round -0.1935085 to four decimal places.
-0.1935
Round -0.00045894 to 3 dps.
0
Round 0.0003904341 to 5 decimal places.
0.00039
Round -359479000 to the nearest 1000000.
-359000000
Round 86.48736 to the nearest 10.
90
What is 468.52 rounded to the nearest one hundred?
500
Round -1.22071196 to 4 dps.
-1.2207
Round 100.05003 to one dp.
100.1
Round -81.89291 to the nearest 10.
-80
Round -494017600 to the nearest 1000000.
-494000000
What is 196717 rounded to the nearest ten thousand?
200000
What is -1.75297 rounded to 2 dps?
-1.75
What is -0.00000558813 rounded to 7 decimal places?
-0.0000056
What is 224050610 rounded to the nearest one hundred thousand?
224100000
Round -0.00000017552995 to 7 decimal places.
-0.0000002
What is 0.0000733283 rounded to seven decimal places?
0.0000733
Round 471770 to the nearest one million.
0
What is -0.00066405707 rounded to five decima | {
"pile_set_name": "DM Mathematics"
} |
r**2 + 55*r + 248. What is v(-50)?
-2
Let c(q) = 3*q - 80. What is c(28)?
4
Let v(d) = -d**2 + 30*d - 209. What is v(12)?
7
Let x(v) = -v**2 - 15*v - 8. Determine x(-14).
6
Let c(m) = -m**2 - 10*m. Give c(-10).
0
Let k(q) = -q + 6. Give k(0).
6
Let r(m) = -m**3 - m**2 + 6*m + 5. Calculate r(-4).
29
Let k(f) = f**2 - 8*f + 3. Determine k(5).
-12
Let w(a) = -a**3 + 6*a**2 - 3*a - 1. What is w(5)?
9
Let k(d) = 2*d - 3. What is k(3)?
3
Let b(y) = 8*y - 2. Calculate b(4).
30
Let u(v) = 147*v**3 + v**2 - v. Calculate u(1).
147
Let b(r) = -r**2 + 100*r - 659. Determine b(7).
-8
Let h(y) = -y**3 - 4*y**2 + 5*y + 17. Calculate h(-4).
-3
Let t(s) = -s**3 - 9*s**2 + 2*s + 9. Determine t(-9).
-9
Let v(q) = q**3 - 6*q**2 + 4*q - 15. Give v(6).
9
Let m(t) = t**3 - 7*t**2 - 7*t + 13. Give m(8).
21
Let l(z) = 2*z**2 - 13. Determine l(7).
85
Let m(x) = x**3 - 11*x**2 + 16*x + 13. Determine m(8).
-51
Let q(r) = r**3 + 10*r**2 - 23*r - 1. What is q(-12)?
-13
Let q(m) = m**2 - m - 32. What is q(0)?
-32
Let s(v) = v**3 + v**2 - v + 99. What is s(0)?
99
Let l(f) = 3*f - 19. What is l(18)?
35
Let l(n) = 3*n**3 + 8*n**2 + 2*n. Determine l(-3).
-15
Let b(n) = n**3 + 5*n**2 - 5*n + 1. Determine b(-6).
-5
Let j(d) = d**3 - 5*d**2 - 3*d + 5. What is j(3)?
-22
Let c(z) = z + 19. Give c(9).
28
Let o(v) = -7*v**2 - 12*v + 3. What is o(2)?
-49
Let x(i) = i**3 - 6*i**2 - 5*i - 22. What is x(7)?
-8
Let q(r) = r - 20. Give q(20).
0
Let x(b) = -b**2 + 12*b + 3. Give x(12).
3
Let b(i) = -i**2 - 13*i - 19. What is b(-12)?
-7
Let z(m) = 3*m**2 - 5*m - 19. Give z(3).
-7
Let j(r) = -46*r + 59. Give j(1).
13
Let t(r) = r**2 + 70*r - 465. What is t(6)?
-9
Let x(k) = 2*k**3 - 10*k**2 - 10*k + 1. Calculate x(6).
13
Let a(r) = r**2 + 21*r + 2. Determine a(-21).
2
Let l(j) = 3*j - 112. Give l(42).
14
Let c(n) = -76*n**2 + 6*n + 4. Determine c(-1).
-78
Let q(m) = -5*m - 45. Determine q(-10).
5
Let z(q) = q**2 + 4*q + 5. What is z(-5)?
10
Let t(h) = -3*h - 4. What is t(10)?
-34
Let s(h) = -h**2 + 43*h - 38. What is s(42)?
4
Let z(u) = 4*u - 33. Calculate z(8).
-1
Let z(t) = -50*t - 532. Determine z(-11).
18
Let f(z) = -z**3 - z**2 + 3*z + 1. Calculate f(-2).
-1
Let s(y) = y**2 - 15*y + 33. What is s(3)?
-3
Let s(f) = -2*f**3 - 15*f**2 + 9*f + 5. What is s(-8)?
-3
Let n(h) = h**3 - 8*h**2 + 4*h - 7. What is n(8)?
25
Let t(n) = -79*n - 79. Give t(-1).
0
Let t(i) = -2*i**3 - i**2 - 2*i - 4. Give t(-2).
12
Let u(m) = m**3 + 30*m**2 + 58*m + 28. Determine u(-28).
-28
Let u(c) = c - 11. Determine u(4).
-7
Let l(u) = u**3 - 3*u**2 - 13*u + 4. What is l(6)?
34
Let j(k) = -k**3 - 3*k**2 + 1. Determine j(-2).
-3
Let s(k) = 2*k**2 + 10*k + 15. Calculate s(-4).
7
Let i(r) = 3*r - 14. What is i(6)?
4
Let j(t) = -t**3 + t - 49. Determine j(0).
-49
Let x(d) = -d**3 + 14*d**2 - 11*d - 18. What is x(13)?
8
Let b(h) = -h**3 - h**2 + 10*h + 1. Determine b(-4).
9
Let a(r) = -r**2 + r + 12. Calculate a(0).
12
Let v(i) = 2*i**2 - 51*i - 38. What is v(26)?
-12
Let g(f) = -f**3 - 2*f**2 + 5*f - 4. Give g(2).
-10
Let z(y) = -19*y + 3. Determine z(2).
-35
Let s(z) = -z**2 - 7*z + 15. Calculate s(-8).
7
Let h(g) = -g + 16. What is h(9)?
7
Let g(t) = -t**3 + 15*t**2 - 6. Give g(15).
-6
Let f(j) = -j**2 - 8*j + 3. Determine f(-8).
3
Let a(g) = g**2 - 9*g - 17. Calculate a(8).
-25
Let j(y) = -2*y**3 - 3*y**2 - 4*y + 2. Calculate j(-2).
14
Let l(t) = -5*t**2 + 2*t - 3. Calculate l(2).
-19
Let x(w) = -w**3 - 5*w**2 - 3*w + 1. What is x(-5)?
16
Let k(o) = 3*o**2 - 3*o - 4. Determine k(4).
32
Let l(y) = y**2 + 9*y + 7. Give l(0).
7
Let u(q) = q**3 - q**2 - 2*q - 4. What is u(-2)?
-12
Let n(t) = -t. Determine n(-6).
6
Let x(q) = 13*q + 7. Determine x(5).
72
Let y(l) = 3*l**2 + 15*l - 6. Determine y(-8).
66
Let s(v) = -v**3 - 36*v**2 - 69*v - 41. Determine s(-34).
-7
Let k(o) = -2*o**2 + 8*o - 15. Give k(3).
-9
Let a(r) = -311*r - 2184. Calculate a(-7).
-7
Let m(g) = 22*g - 6. Give m(4).
82
Let w(f) = -4*f - 2. Give w(-2).
6
Let d(i) = -3*i**2 + 24*i + 54. Give d(-2).
-6
Let w(x) = x**2 + 11*x + 28. Determine w(-5).
-2
Let f(q) = -q**3 - 19*q**2 + 27*q + 1. Give f(-20).
-139
Let n(v) = 159*v - 475. Calculate n(3).
2
Let s(m) = m + 9. Calculate s(-7).
2
Let x(q) = -3*q - 34. Determine x(3).
-43
Let l(f) = 2*f - 1. Calculate l(10).
19
Let j(d) = 8*d**2 + 79*d - 22. Determine j(-10).
-12
Let l(r) = 84*r + 591. Give l(-7).
3
Let j(r) = r**3 - 7*r**2 - 3*r - 4. Determine j(6).
-58
Let m(h) = -h + 12. Calculate m(7).
5
Let a(n) = n**2 + 8*n. Determine a(-7).
-7
Let w(r) = -r**3 - 26*r**2 - 25*r - 5. Give w(-25).
-5
Let p(n) = -n**2 + 7. Calculate p(4).
-9
Let z(p) = -20*p - 122. Determine z(-6).
-2
Let l(k) = -k**3 + 33*k**2 + 31*k + 91. What is l(34)?
-11
Let u(r) = r**2 + 11*r + 11. Determine u(-16).
91
Let k(s) = -2*s**3 - 11*s**2 + 4*s + 1. Determine k(-6).
13
Let s(k) = 20*k - 171. Calculate s(9).
9
Let p(l) = l**3 + 21*l**2 + 36*l - 18. Determine p(-19).
20
Let z(t) = t**3 - 13*t**2 + 2*t - 27. What is z(13)?
-1
Let v(h) = -7*h + 36. What is v(5)?
1
Let u(i) = -i**3 + 2*i**2 + 11*i - 7. Give u(4).
5
Let v(a) = -a**3 + 5*a**2 + a - 11. Determine v(5).
-6
Let g(z) = z**3 + 8*z**2 + 9*z + 12. Calculate g(-8).
-60
Let p(c) = 10*c + 13. Give p(-4).
-27
Let f(n) = n + 15. What is f(-15)?
0
Let w(z) = z**3 + 2*z**2 - 4*z - 4. Calculate w(-2).
4
Let a(k) = -3*k**2 + 7*k - 3. Calculate a(4).
-23
Let d(y) = -y**2 - 11*y + 13. Determine d(-13).
-13
Let r(s) = -7*s + 38. Give r(7).
-11
Let i(m) = -m**2 - 8*m + 18. Give i(2).
-2
Let i(f) = -17*f - 44. What is i(-3)?
7
Let g(d) = d**2 + 5*d - 13. Determine g(-11).
53
Let f(c) = -c**3 - 6*c**2 - c - 7. Determine f(-7).
49
Let x(c) = -c**2 + 12*c - 4. Calculate x(0).
-4
Let u(t) = -t**2 + 14*t - 28. Give u(12).
-4
Let o(i) = -20*i**2 - 2*i + 1. Give o(-2).
-75
Let c(n) = 8*n**2 - 7*n - 8. What is c(-1)?
7
Let r(n) = 15*n - 3. Determine r(-3).
-48
Let t(q) = -q**3 - 7*q**2 - 8*q + 7. Give t(-5).
-3
Let g(c) = -5*c - 41. Give g(-8).
-1
Let q(j) = j - 6. Calculate q(9).
3
Let q(r) = -10*r - 12. Determine q(-1).
-2
Let q(o) = -3*o**2 + 93*o + 100. What is q(32)?
4
Let s(y) = y**2 + 3. Give s(-2).
7
Let s(v) = -8*v - 47. Give s(-5).
-7
Let f(w) = w - 2. Determine f(14).
12
Let x(s) = 8*s - 2. Give x(4).
30
Let r(j) = -60*j - 174. Determine r(-3).
6
Let f(l) = -l**2 + 15*l - 51. What is f(7)?
5
Let k(x) = -5*x - 65. What is k(-15)?
10
Let m(n) = -39*n + 12. What is m(3)?
-105
Let u(c) = -c**3 + 26*c**2 + 29*c - 93. Determine u(27).
-39
Let v(r) = r**3 + 8*r**2 + 9*r + 5. Calculate v(-6).
23
Let l(h) = -7*h + 3. Calculate l(2).
-11
Let t(m) = -3*m**2 + m - 3. Calculate t(1).
-5
Let m(f) = f**3 + 12*f**2 + 12*f - 1. Calculate m(-11).
-12
Let t(p) = p**2 - 6*p - 2. What is t(4)?
-10
Let x(m) = m**3 + 3*m**2 - 2*m - 3. What is x(-5)?
-43
Let p(l) = 25*l - 13. What is p(-4)?
-113
Let j(o) = 14*o - 3. Give j(3).
39
Let m(l) = -35*l - 1. Give m(-1).
34
Let g(h) = h**2 + 22*h - 58. Determine g(-24).
-10
Let g(i) = -39*i**3 - 2*i**2 + 2. What is g(-1)?
39
Let p(u) = 6*u + 4. Calculate p(-9).
-50
Let f(x) = -8*x**2 - 1. Calculate f(1).
-9
Let t(n) = n**3 + 11*n**2 + 10*n - 2. Calculate t(-10).
-2
Let j(l) = -25*l - 472. Determine j(-19).
3
Let d(k) = k**2 - 9*k + 30. Determine d(6).
12
Let v(c) = c**3 - 7*c**2 + c. Calculate v(7).
7
Let j(m) = m**3 - 16*m**2 + 12*m + 35. Give j(15).
-10
Let f(w) = 2*w**2 + 12*w + 7. Determine f(-5).
-3
Let p(r) = -r**3 - 5*r**2 + 7*r - 1. Calculate p(-4).
-45
Let m(r) = -r + 23. Determine m(2).
21
Let u(f) = 10*f + 47. Determine u(-15).
-103
Let u(b) = -4*b**3 + 6*b**2 - 5*b + 6. Determine u(2).
-12
Let m(n) = -n**2 + 56*n - 25. Calculate m(56).
-25
Let o(f) = f**3 + 30*f**2 + 2*f + 68. Give o(-30).
8
Let p(q) = -15*q - 92. Determine p(-6).
-2
Let d(q) = 9*q - 15. What is d(8)?
57
Let r(s) = -s**3 - 11*s**2 - 13*s - 38. Determine r(-10).
-8
Let b(o) = -2*o**2 + 12*o - 6. Calculate b(5).
4
Let q(c) = 2*c**2 - 26*c + 27. Calculate q(13).
27
Let p(q) = -q - 2. Calculate p(1).
-3
Let f(p) = p**2 - 3*p - 11. Determine f(5).
-1
Let n(k) = -7*k + 7. Determine n(-9).
70
Let v(t) = -t**2 - 23*t - 51. Determine v(-23).
-51
Let w(p) = -16*p + 18. Determine w(3).
-30
Let l(w) = 80*w**3 - w. Give l(-1).
-79
Let r(y) = -y**2 - 6*y - 6. What is r(-6)?
-6
Let g(u) = 14*u + 90. Determin | {
"pile_set_name": "DM Mathematics"
} |
r be (-10)/(-3) - 0 - 3/9. Let o = -1 + r. Find the second derivative of -1100*d**o - 9*d**4 + 1100*d**2 - 3*d wrt d.
-108*d**2
Find the second derivative of -478*n**4 + 1080*n**4 + 1431*n - 485*n**4 + 1769*n**4 wrt n.
22632*n**2
Let f(s) be the third derivative of 0*s + 282*s**2 + 35/2*s**3 - 11/12*s**5 + 0 - 1/12*s**4. Differentiate f(l) with respect to l.
-110*l - 2
Let k(i) be the first derivative of -1259*i**3/3 + 1841*i - 6340. What is the first derivative of k(g) wrt g?
-2518*g
Let m(s) be the first derivative of s**6/8 + 50*s**3/3 - s**2 - 11*s + 6. Let i(d) be the second derivative of m(d). What is the first derivative of i(c) wrt c?
45*c**2
Let l(s) be the third derivative of s**7/70 + 1081*s**6/120 - 11*s**5/20 - 167*s**3/6 + 2638*s**2 + s. Find the third derivative of l(t) wrt t.
72*t + 6486
Let j(v) = v**2 - 6*v + 2. Suppose -4*i = -3*i - 6. Let u be j(i). Find the second derivative of -u*p**4 + 6*p**4 + 3*p**4 + 8*p wrt p.
84*p**2
Let n(r) be the second derivative of 664*r**6/15 - r**3/3 - 67*r**2 - 284*r. Find the second derivative of n(k) wrt k.
15936*k**2
Let x(p) be the third derivative of 73*p**7/5040 - p**6/15 + 31*p**5/60 + 62*p**2. Let v(z) be the third derivative of x(z). Differentiate v(b) wrt b.
73
Let i(w) = 7*w**3 - 85*w + 3. Let u = -84 - -87. Let d(l) = -l**4 + l**3 + 1. Let o(x) = u*d(x) - i(x). Find the second derivative of o(b) wrt b.
-36*b**2 - 24*b
Let q(u) be the first derivative of 4561*u**7/7 - 59*u**3/3 - 2*u - 2788. Find the third derivative of q(p) wrt p.
547320*p**3
Let x(u) be the third derivative of 10*u - 193/24*u**4 + 0*u**3 + 0*u**5 + 0 + 101/120*u**6 - 1/210*u**7 + 10*u**2. What is the second derivative of x(d) wrt d?
-12*d**2 + 606*d
Let b(d) be the first derivative of 63*d**5/20 + 34*d**2 + 24*d + 26. Let s(j) be the first derivative of b(j). What is the first derivative of s(g) wrt g?
189*g**2
Find the third derivative of 47077919 - 3932*i**3 + 3462*i**2 - 47077919 wrt i.
-23592
Let a(d) = 10*d**2 - 2*d + 1. Let t be a(-2). Find the first derivative of -t + 74*n - 5 - 8 - 5 wrt n.
74
Let r(l) be the first derivative of -168/5*l**5 + 0*l**3 - 135*l + 174 + 0*l**2 + 0*l**4. Find the first derivative of r(u) wrt u.
-672*u**3
Let g(c) = 5526*c**2 + 4871*c + 2. Let f(k) = -5519*k**2 - 4867*k - 2. Let a(x) = 3*f(x) + 2*g(x). Find the second derivative of a(s) wrt s.
-11010
Let y(q) be the first derivative of 5 + 128/3*q**3 + 0*q + 0*q**2 - 97/4*q**4. Find the third derivative of y(l) wrt l.
-582
Let x(n) be the second derivative of -n**6/10 - 319*n**5/20 - 283*n**4/12 - n**3/6 - 23*n + 1. What is the third derivative of x(h) wrt h?
-72*h - 1914
Let y(s) be the second derivative of -211*s**7/14 - 709*s**4/12 - 812*s. Find the third derivative of y(t) wrt t.
-37980*t**2
Let p(x) = 24*x**3 - 15*x - 45. Let v(u) = u**3 - 2*u + 1. Let m(q) = 2*p(q) - 14*v(q). What is the derivative of m(b) wrt b?
102*b**2 - 2
Let k(w) be the first derivative of -1799*w**6/6 + 2*w**3/3 - 525*w**2 - 703. Find the second derivative of k(j) wrt j.
-35980*j**3 + 4
Suppose 29 - 3 = 2*s. What is the second derivative of -2*l**4 + 4 - 2 + s*l - 15*l + 5*l**4 - l**3 wrt l?
36*l**2 - 6*l
Let c(d) be the first derivative of -77/4*d**4 + 65 - 1/2*d**2 + 97*d + 0*d**3. Find the second derivative of c(r) wrt r.
-462*r
Let l(c) = 11*c - 63. Let b be l(6). What is the second derivative of -b*k - 15*k - 6*k**2 + 4*k - 26*k - 2 wrt k?
-12
Let a(s) be the first derivative of 31/5*s**5 + 0*s**2 + 72 + 1/4*s**4 + 0*s - 158/3*s**3. Find the third derivative of a(d) wrt d.
744*d + 6
Let u(p) = 3*p**2 - 3*p - 7 + 1496*p**3 - 1523*p**3 - 20. Let s(t) = t**3 - 2*t**2 + t + 1. Let j(o) = 2*s(o) + u(o). Find the second derivative of j(i) wrt i.
-150*i - 2
Let m(h) be the first derivative of 4568*h**3/3 - 769*h - 4239. Differentiate m(z) wrt z.
9136*z
Let x(p) be the second derivative of 69*p**5/10 + p**4/3 - 1013*p**3/6 - 475*p. Find the second derivative of x(k) wrt k.
828*k + 8
Let y(l) = 2*l**2 - 17*l. Let z(c) = 1102*c**2 + 2888*c. Let r(b) = -6*y(b) - z(b). What is the second derivative of r(u) wrt u?
-2228
Let n(u) = 340*u**2 - 2827*u + 6. Let l(g) = 681*g**2 - 5658*g + 10. Let b(j) = 3*l(j) - 5*n(j). Find the second derivative of b(m) wrt m.
686
Suppose -10*y = 977 - 2777. Find the first derivative of -56*i**2 + 5 + 0 + 9 + y*i**2 wrt i.
248*i
Let r = 218 - 217. Let j(d) = d**5 - 2*d**2 + 1. Let k(w) = 22*w**5 - 3*w**3 - 45*w**2 - 3. Let b(q) = r*k(q) + 3*j(q). Find the third derivative of b(h) wrt h.
1500*h**2 - 18
Suppose -2*z - 40 = 2*n + 74, 111 = -2*n + z. Let p be (-192)/n + (-3)/7. What is the third derivative of -8*v**6 + 11*v**6 + p*v**2 + 2*v**2 - 14*v**6 wrt v?
-1320*v**3
Differentiate 11459 - 4457 - 5788 - 427*q**3 wrt q.
-1281*q**2
Let z be (-91)/(-7) - (-12)/(-2). Find the second derivative of -z*l**5 + 4*l**3 + 24*l - 2 + 23*l - 49*l wrt l.
-140*l**3 + 24*l
Let y(s) be the third derivative of 0*s**3 + 0 + 11*s**2 + 1/30*s**5 - 1/35*s**7 + 0*s**6 - 1/3*s**4 + 3*s. Find the third derivative of y(q) wrt q.
-144*q
Let a(d) = -212 - 228*d**3 - 73 - 34*d**3 - 27. Let y(r) = 260*r**3 + 314. Let l(s) = -5*a(s) - 6*y(s). Find the first derivative of l(u) wrt u.
-750*u**2
Find the third derivative of -162*d**4 + 29*d**4 - 1871*d**2 + 199*d**2 + d**5 + d**5 - 152*d**4 wrt d.
120*d**2 - 6840*d
Let h(i) be the second derivative of -57*i**4/2 + 305*i**3/3 - 20*i. What is the second derivative of h(a) wrt a?
-684
Let g = 395 - 289. Find the third derivative of 2 - 13*o**2 - 68*o**3 - g*o**3 + 7*o**2 - 65*o**3 wrt o.
-1434
Let f(b) = -733*b**4 - 6*b**3 + 6*b + 185. Let s(d) = -1466*d**4 - 11*d**3 + 11*d + 370. Let u(t) = 11*f(t) - 6*s(t). Differentiate u(c) with respect to c.
2932*c**3
Find the third derivative of 1024*y**2 - 60*y**4 - 1208*y**2 - 79*y**3 - 2401*y**2 + 43*y**4 wrt y.
-408*y - 474
Suppose 4*c + 2*c - 18 = 0. Suppose c*j = 2*j - 0*j. Find the third derivative of 15*p**2 + j*p**4 - p**4 + p**4 + 19*p**6 wrt p.
2280*p**3
Find the first derivative of 17*h + 108 - 59*h - 1398*h**4 + 28 + 42*h wrt h.
-5592*h**3
What is the derivative of -983*p**3 - 158 - 46 + 36 - 1181*p**3 - 164 wrt p?
-6492*p**2
Let x(j) = -15*j**3 - 4*j**2 - 12*j + 29. Let g(s) = s**3 - 2*s - 2. Let q(b) = 3*g(b) - x(b). What is the second derivative of q(d) wrt d?
108*d + 8
Let o(u) be the third derivative of 221*u**7/42 - 103*u**3 - 346*u**2. Differentiate o(r) with respect to r.
4420*r**3
Let o(a) be the first derivative of 42*a - 63 - 49/2*a**2. Differentiate o(s) with respect to s.
-49
Suppose 0 = 43*s + 146 + 26. Let b(d) = -23*d + 126. Let f(t) = -t**2 - 24*t + 125. Let g(r) = s*b(r) + 3*f(r). Find the first derivative of g(z) wrt z.
-6*z + 20
What is the third derivative of 3*x**6 - 4*x**6 + 161*x + 2*x**5 + 2*x**2 - 131*x - 164*x**4 - 2*x**5 wrt x?
-120*x**3 - 3936*x
Let g(p) be the second derivative of -38*p**7/3 - 3*p**4 - p**3/6 + 14*p - 22. Find the third derivative of g(k) wrt k.
-31920*k**2
Find the first derivative of 259 + 330 + 38*s - 941*s**3 + 947*s**3 wrt s.
18*s**2 + 38
Let q be 2*(-2)/6*-24. What is the derivative of q + 25 + w**2 - 6*w**2 + 55*w**2 wrt w?
100*w
Let f = 45 - 43. Suppose f*b = 4*y - 18, 7 = 2*y + 5*b + 28. What is the third derivative of -2*p**4 + 30*p**2 + 13*p**y + 40*p**6 + 2*p**4 wrt p?
4800*p**3
Let o(d) be the first derivative of 1028*d**7/7 + d**6/6 - 95*d**3/3 + 2*d**2 - 3579. What is the third derivative of o(g) wrt g?
123360*g**3 + 60*g**2
What is the third derivative of -549*l**3 + 117 + 420 - 1517*l + 755*l + 765*l + 2*l**2 - 4503*l**3 wrt l?
-30312
Let u(q) be the first derivative of 86*q**4 + 10*q**3/3 - q**2/2 + 4237*q - 9964. Find the second derivative of u(n) wrt n.
2064*n + 20
Let j(y) = -66*y**2 + 20*y + 343. Let m(z) = 32*z**2 - 10*z - 171. Let i(v) = 4*j(v) + 9*m(v). What is the first derivative of i(r) wrt r?
48*r - 10
Let y(v) be the first derivative of -322*v**3 + 831*v**2 + 1139. Find the second derivative of y(x) wrt x.
-1932
Let w = -24452 + 24452. Let u(x) be the third derivative of w + 4*x**3 - 1/12*x**6 + 0*x + 0*x**4 + 0*x**5 - 23*x**2. What is the derivative of u(h) wrt h?
-30*h**2
Let x(l) = -24*l**3 - 23*l - 18. Let n(p) be the second derivative of p**2 - 54*p. Let b(g) = -18*n(g) - 2*x | {
"pile_set_name": "DM Mathematics"
} |
000001
What is 0.088426 rounded to 2 dps?
0.09
What is -0.00000056467 rounded to 7 dps?
-0.0000006
What is -0.04655 rounded to 3 decimal places?
-0.047
Round -0.0218056 to four dps.
-0.0218
Round -0.059845 to 2 decimal places.
-0.06
Round 61520000 to the nearest 1000000.
62000000
What is -0.001117 rounded to four decimal places?
-0.0011
Round -21583 to the nearest 1000.
-22000
Round 329230 to the nearest 10000.
330000
Round -2.668 to 1 dp.
-2.7
Round -1.0911 to 2 dps.
-1.09
What is -0.010118 rounded to 3 decimal places?
-0.01
Round -0.4142 to two dps.
-0.41
Round -1048 to the nearest ten.
-1050
What is -0.053471 rounded to 2 decimal places?
-0.05
What is 14.409 rounded to the nearest integer?
14
Round -0.00002002 to six decimal places.
-0.00002
Round 817 to the nearest 10.
820
What is -34012 rounded to the nearest 10000?
-30000
Round 850.31 to the nearest 10.
850
Round -0.000120472 to 5 dps.
-0.00012
Round 95.75 to zero decimal places.
96
Round 0.00803 to four dps.
0.008
What is -26362100 rounded to the nearest one million?
-26000000
What is -3202 rounded to the nearest 100?
-3200
What is -0.00000644 rounded to seven decimal places?
-0.0000064
What is 0.0020542 rounded to 4 dps?
0.0021
Round -0.00001768 to 7 dps.
-0.0000177
What is -0.0000109619 rounded to 6 decimal places?
-0.000011
Round -0.0073361 to three dps.
-0.007
What is 0.033826 rounded to three dps?
0.034
Round -6374.2 to the nearest one hundred.
-6400
What is -0.000758 rounded to 5 dps?
-0.00076
What is -0.000016076 rounded to 5 dps?
-0.00002
Round 0.000019 to 6 decimal places.
0.000019
Round -388680 to the nearest one thousand.
-389000
Round 0.00000175 to 6 dps.
0.000002
Round -0.00022524 to 4 dps.
-0.0002
What is -121220 rounded to the nearest ten thousand?
-120000
What is -26.909 rounded to 1 dp?
-26.9
Round -531600 to the nearest 100000.
-500000
Round 116380 to the nearest 1000.
116000
Round 0.00063466 to five dps.
0.00063
Round -0.00141235 to five dps.
-0.00141
Round 0.041 to three decimal places.
0.041
Round 31600 to the nearest 1000.
32000
What is 956.71 rounded to the nearest 100?
1000
Round 5683.5 to the nearest 10.
5680
What is -0.6234 rounded to 2 dps?
-0.62
What is 0.000782 rounded to 4 decimal places?
0.0008
What is 252880 rounded to the nearest ten thousand?
250000
Round 74.7 to the nearest integer.
75
Round 0.0008326 to 4 dps.
0.0008
What is -0.0000619 rounded to 6 dps?
-0.000062
What is -27343000 rounded to the nearest 100000?
-27300000
What is -5112900 rounded to the nearest one million?
-5000000
What is -84400 rounded to the nearest 1000?
-84000
What is -0.0258 rounded to 3 dps?
-0.026
Round 42.347 to 1 decimal place.
42.3
What is -0.00309893 rounded to four dps?
-0.0031
Round 0.32074 to two decimal places.
0.32
What is -45.62 rounded to the nearest ten?
-50
What is -0.00002696 rounded to 6 dps?
-0.000027
What is 0.026 rounded to 2 decimal places?
0.03
Round 2.4748 to one dp.
2.5
What is -0.72834 rounded to one decimal place?
-0.7
Round 0.04632 to 3 dps.
0.046
What is 0.00027277 rounded to 6 decimal places?
0.000273
What is 1320790 rounded to the nearest 10000?
1320000
What is 20.077 rounded to the nearest ten?
20
Round -34.44 to zero decimal places.
-34
What is 0.3766 rounded to 1 dp?
0.4
What is -3106000 rounded to the nearest 1000000?
-3000000
What is 2455700 rounded to the nearest ten thousand?
2460000
Round 7374200 to the nearest 100000.
7400000
What is 8310000 rounded to the nearest one million?
8000000
What is 0.004003 rounded to 3 dps?
0.004
What is 98300 rounded to the nearest ten thousand?
100000
What is 95419 rounded to the nearest 10000?
100000
Round 219100 to the nearest 100000.
200000
Round 6778000 to the nearest one million.
7000000
What is -247100 rounded to the nearest 10000?
-250000
What is 14980000 rounded to the nearest one million?
15000000
What is -0.0008806 rounded to four decimal places?
-0.0009
Round 0.000000062 to seven decimal places.
0.0000001
What is 1303 rounded to the nearest 10?
1300
Round 481.2 to the nearest 100.
500
Round 940 to the nearest 100.
900
What is 2401.1 rounded to the nearest 100?
2400
What is 0.00056698 rounded to 5 dps?
0.00057
What is 54296700 rounded to the nearest one hundred thousand?
54300000
Round -700000 to the nearest one hundred thousand.
-700000
Round 0.32 to one decimal place.
0.3
What is 150789000 rounded to the nearest 100000?
150800000
Round 48973000 to the nearest 1000000.
49000000
Round 0.0000046225 to 6 decimal places.
0.000005
What is -2516.2 rounded to the nearest ten?
-2520
What is -0.1235 rounded to two dps?
-0.12
What is 1043200 rounded to the nearest ten thousand?
1040000
Round 0.0000128369 to six decimal places.
0.000013
What is 1295400 rounded to the nearest 10000?
1300000
What is 10690000 rounded to the nearest one million?
11000000
Round 0.0014217 to three decimal places.
0.001
Round -551400 to the nearest 10000.
-550000
What is 0.000030937 rounded to six decimal places?
0.000031
Round 0.11852 to 3 dps.
0.119
What is -14160 rounded to the nearest 100?
-14200
Round 0.1966 to 3 decimal places.
0.197
Round -45500 to the nearest 10000.
-50000
Round -24262000 to the nearest 1000000.
-24000000
What is 6288070 rounded to the nearest 100000?
6300000
Round -0.568 to one dp.
-0.6
Round -0.02726 to four decimal places.
-0.0273
Round -7589 to the nearest one thousand.
-8000
Round 2115000 to the nearest 100000.
2100000
Round 4923600 to the nearest one hundred thousand.
4900000
Round 0.0003439 to 4 decimal places.
0.0003
Round -10210000 to the nearest one million.
-10000000
What is 3.11 rounded to one dp?
3.1
What is -7770000 rounded to the nearest 100000?
-7800000
What is 38985 rounded to the nearest one thousand?
39000
What is 3806.8 rounded to the nearest one hundred?
3800
What is 89490 rounded to the nearest 1000?
89000
Round -0.014657 to two dps.
-0.01
Round -56160 to the nearest 10000.
-60000
What is -643200 rounded to the nearest ten thousand?
-640000
What is -1220.5 rounded to the nearest 100?
-1200
What is -0.0000004085 rounded to seven dps?
-0.0000004
Round 5.88 to 1 dp.
5.9
What is 20.329 rounded to 0 dps?
20
What is 0.321 rounded to 2 decimal places?
0.32
Round -163596 to the nearest ten thousand.
-160000
Round -16.3 to zero decimal places.
-16
What is 1161 rounded to the nearest 10?
1160
Round 0.0000002833 to 7 decimal places.
0.0000003
What is 2143200 rounded to the nearest ten thousand?
2140000
Round 3034900 to the nearest one million.
3000000
What is -0.0348 rounded to two decimal places?
-0.03
Round -22.754 to 0 decimal places.
-23
Round -4.0053 to 2 dps.
-4.01
What is 0.0000001394 rounded to seven decimal places?
0.0000001
Round -2115000 to the nearest one hundred thousand.
-2100000
What is -0.00011702 rounded to six decimal places?
-0.000117
What is 4580 rounded to the nearest 1000?
5000
What is -70600 rounded to the nearest ten thousand?
-70000
What is -40100 rounded to the nearest ten thousand?
-40000
Round 69200 to the nearest one thousand.
69000
Round 336.6 to the nearest 10.
340
What is 0.7911 rounded to one decimal place?
0.8
What is -0.0049019 rounded to 4 decimal places?
-0.0049
Round 0.000000996 to seven decimal places.
0.000001
Round -0.354 to one dp.
-0.4
Round 185580 to the nearest one thousand.
186000
What is -5.227 rounded to zero dps?
-5
Round 7254100 to the nearest 100000.
7300000
Round -0.0744 to 3 dps.
-0.074
Round 140.37 to 0 decimal places.
140
Round 0.000128 to 5 decimal places.
0.00013
Round -23.841 to one decimal place.
-23.8
What is 0.098007 rounded to three decimal places?
0.098
What is -4154000 rounded to the nearest one hundred thousand?
-4200000
What is 0.00006306 rounded to 5 dps?
0.00006
Round -0.0006307 to 4 dps.
-0.0006
What is 5.4247 rounded to 1 dp?
5.4
Round 1.531 to one dp.
1.5
What is -68260 rounded to the nearest 100000?
-100000
What is 0.27754 rounded to 2 decimal places?
0.28
Round -93620 to the nearest one thousand.
-94000
What is -4967300 rounded to the nearest 1000000?
-5000000
Round -0.00013602 to 5 dps.
-0.00014
Round -0.104 to one dp.
-0.1
Round -65681.9 to the nearest 1000.
-66000
What is -1.037 rounded to one dp?
-1
Round 56014000 to the nearest 100000.
56000000
Round 0.0561 to 3 decimal places.
0.056
Round -13.585 to one decimal plac | {
"pile_set_name": "DM Mathematics"
} |
when s is divided by 29?
25
Let u = 7 - 12. Let a = -2 - u. Calculate the remainder when 56/a - (-6)/18 is divided by 5.
4
Suppose 46*o + 14 = 47*o. Let l be (-30 - 3)/(3/(-15)). Suppose t - 273 = -5*a + 2*t, -l = -3*a + t. What is the remainder when a is divided by o?
12
Suppose -3*c + i + 23 = 0, 0 = 2*c + 2*c + 5*i - 37. Suppose -h = 4*p - 35 - 21, -5*h = 0. Calculate the remainder when p is divided by c.
6
Suppose 2*h - 3*h - 711 = -3*y, 2*h + 232 = y. What is the remainder when y is divided by 10?
8
Suppose 2*y - 193 = -5*q + 5*y, 0 = -5*q + y + 191. Suppose -4*k + 10 = -q. Calculate the remainder when 34 is divided by k.
10
Let l(a) = a - 1. Let j be l(-2). Calculate the remainder when j - (-2*32)/2 - 2 is divided by 8.
3
Suppose 5*s - 3*s = 22. Let q = 3 - -1. Suppose q*v = 59 - s. What is the remainder when 22 is divided by v?
10
Let a(t) = 9*t**3 - t**2 + 2*t - 1. Let j be a(1). What is the remainder when 166 is divided by (j/(-18))/(0 + 1)*-48?
22
Suppose 2*x - 5*g - 174 + 79 = 0, -4*x - 3*g + 203 = 0. What is the remainder when 134 is divided by x?
34
Suppose 3*l + 8 = 23. Suppose 20 = 2*i + 5*z, -2*i + l*z - z = 16. Suppose i = 6*x - 3*x - 81. Calculate the remainder when x is divided by 14.
13
Let v(y) = 66*y - 553. What is the remainder when 817 is divided by v(9)?
38
Let c = 276 + -154. Suppose 2*j - 2*d - 116 = 0, 4*d + c = 2*j + 5*d. What is the remainder when j is divided by 32?
28
Suppose -5 - 20 = -5*b. Suppose 5*g + q = 0, -1 = -b*q - 26. Calculate the remainder when 2 is divided by g.
0
Let w = 1 - -2. Suppose f + w*j + 17 = 3*f, 11 = f + j. Let m(a) = 2*a + 2. Calculate the remainder when m(23) is divided by f.
8
Let q = -1376 - -1517. Calculate the remainder when q is divided by 9.
6
Let a(h) = h**3 + 9*h**2 - 11*h. Suppose 0 = 13*p - 10*p + 30. Calculate the remainder when 28 is divided by a(p).
8
Let d = -46 - -49. Suppose -5 - 19 = -d*p. Calculate the remainder when 23 is divided by p.
7
Suppose -6*z + 2*z + 16 = 5*x, x = -4*z. Suppose -x*w + 415 = w. Calculate the remainder when w is divided by 14.
13
Let y be ((-4)/(-2) - 3)*-228. Suppose 92*x = 95*x - y. What is the remainder when x is divided by 39?
37
Suppose -3*r + 2*z = -0*z - 39, 5*z - 15 = 0. Calculate the remainder when 104 is divided by r.
14
Suppose -298*r = -287*r - 66. Calculate the remainder when 31 is divided by r.
1
Let j = -15 + 3. Let o = 17 + j. What is the remainder when 7 is divided by o?
2
Let n = -137 - -173. Calculate the remainder when 135 is divided by n.
27
Suppose -20*u + 1888 = -16*u - 2*c, 477 = u + 2*c. Calculate the remainder when u is divided by 28.
25
Suppose -f + 2*b + 55 = 13, -5*b = 2*f - 66. Let n = -21 + f. Calculate the remainder when 28 is divided by n.
11
Let m = 26 - 19. Let y be -4 - (-2 + -52) - 4. Let l = y - 14. What is the remainder when l is divided by m?
4
Let h be ((-14)/(-4))/((13/(-34))/13). Let u = -63 - h. Calculate the remainder when u is divided by 29.
27
Let k = 31 - 15. Calculate the remainder when (-4329)/(-185)*((-10)/(-3) + 0) is divided by k.
14
Let t = -190 + -13. Let i = 320 + t. What is the remainder when i is divided by 24?
21
Suppose k - 3*v - 124 = -105, 5*k + 3*v - 41 = 0. Calculate the remainder when 73 is divided by k.
3
Calculate the remainder when 263*3/15 + (-30)/(-75) is divided by ((-81)/(-5 - -2))/1.
26
Suppose w + 3 = y - 0, 3*y - 17 = -5*w. Calculate the remainder when 329 is divided by y.
1
Let b be (2/5)/((-3)/(-15)). Let j = b - 0. Suppose 0*i - 2*i = -j*w + 66, -3*i - 157 = -5*w. What is the remainder when w is divided by 10?
9
Suppose 5*r + 141 + 189 = 0. Suppose -122 = -3*p + 4*b + 3, -3*b - 212 = -5*p. Calculate the remainder when p is divided by (27/18)/((-9)/r).
10
Suppose 25*b = -4*b + 464. What is the remainder when 93 is divided by b?
13
Let i(j) = j + 4*j**2 - 3*j**2 - 1 + 2 + 2*j**2. Let v be i(2). Suppose 0 = -r + 56 + v. What is the remainder when r is divided by 18?
17
What is the remainder when (0 + -1)/(7/(-2807)) is divided by 102?
95
Let d(l) = l**2 - 10*l - 23. Let g(c) = 6*c - 5. Let w(n) = 7*n - 5. Let q(k) = -5*g(k) + 4*w(k). What is the remainder when d(16) is divided by q(-7)?
16
Let d = 30 - 28. Let q(k) = 9*k**2 + 3*k - 2. Calculate the remainder when q(2) is divided by 18 + d - (-2 + 1).
19
Let l be (2/(-2))/(0 + (-1)/(-5)). Calculate the remainder when (10/l)/((-474)/(-159) - 3) is divided by 22.
18
Let f(i) = -i**3 + 12*i**2 - 22*i - 26. What is the remainder when 103 is divided by f(9)?
8
Calculate the remainder when -1 - -35 - (21 + -29) is divided by 10.
2
Suppose 4*v = 11*n - 7*n + 260, 65 = v - 2*n. Calculate the remainder when v is divided by 38.
27
Suppose -12*i + 205 = -7*i. Let h = -38 + i. Calculate the remainder when 8 is divided by h.
2
Let y(t) = t**3 - 5*t**2 - t + 6. Let h be (-2)/6*150/(-10). Let q be y(h). Let j = q + 7. What is the remainder when 21 is divided by j?
5
Let i = 2 - -4. Let w(g) = i*g + 1 + g + 0. What is the remainder when 30 is divided by w(1)?
6
Suppose 3*c - 2*z = 28, -3*c + 45 = -5*z + 11. Suppose -707 = -12*a + 205. Calculate the remainder when a is divided by c.
4
Let o be 5/(-2)*(-16)/20. Suppose 0 = o*v - v + 3*q - 102, 0 = -3*q. What is the remainder when v is divided by 21?
18
Suppose -q + 3*q - 126 = 0. Suppose y - 1 = -3, 76 = 4*t + 4*y. Let x = -5 + t. What is the remainder when q is divided by x?
15
Let i = -33 - -50. Let f(g) = -g + 62. What is the remainder when f(14) is divided by i?
14
Suppose -27*x = -29*x + 8. What is the remainder when 34 is divided by -1 + 2 + -6*x/(-6)?
4
Let r(p) be the third derivative of p**6/120 + 7*p**5/60 + p**4/4 - p**3/2 + 30*p**2. Calculate the remainder when 116 is divided by r(-5).
14
Suppose -r - 4*g + 7 = -9, 0 = -3*r + g + 22. Calculate the remainder when 39 is divided by r.
7
Let t = 909 + -906. Let w be 0 + 1 - (-2)/2. Let m = w - -1. Calculate the remainder when t is divided by m.
0
Let v(s) = 59*s - 4. Let x be v(3). Suppose t = 2*t + 3*a - 45, 5*a - x = -4*t. Let w = 78 - 56. Calculate the remainder when t is divided by w.
20
Let w = 2824 + -2607. Calculate the remainder when w is divided by 40.
17
Let l(t) = 2 - t**3 + 3*t - 17 - 19*t**2 + 8*t**2 + 19*t**2. Let s(k) = -k + 4. What is the remainder when l(8) is divided by s(0)?
1
Let q = -14 - -47. Suppose 4*d - q = 3. Suppose 12*n - 3*h = 8*n + 33, 0 = 3*n - 5*h - 33. Calculate the remainder when d is divided by n.
3
Suppose 5*f = -4*j + 53, 3*j - 2*f = -0*f + 11. What is the remainder when 109 is divided by j?
4
Let g(k) = 2*k**3 - 7*k**2 - 8*k + 8. What is the remainder when g(5) is divided by ((-2)/(-5))/((-1)/(-55))?
21
Let k(z) be the third derivative of -z**4/3 - 5*z**3 + 29*z**2. What is the remainder when k(-9) is divided by 9?
6
What is the remainder when 238 is divided by (-8 - 10/(-2)) + 43?
38
Suppose 4*b - 4*j - 18 = 10, 2*j = 5*b - 29. What is the remainder when b/120*-4 - 685/(-6) is divided by 39?
36
Let x(l) = 1058*l - 40. Let u be x(4). Calculate the remainder when ((-1)/(-4))/(8/u) is divided by 7.
5
Let m = -205 + 216. What is the remainder when m is divided by 8?
3
Calculate the remainder when 62 is divided by (-36 - 0)*(-20)/30*2.
14
Let h = -67 + 103. Let v = 15853 - 15710. Calculate the remainder when v is divided by h.
35
Let l be (-16)/(-6)*(-12)/(-8). Let j be 3/(-1) - (-1 + l). Let o = j + 29. What is the remainder when 45 is divided by o?
22
Let l = -7 - -9. Suppose -4*q + 30 = -54. Calculate the remainder when q is divided by (l - 0)/(8/44).
10
Let c(x) = 2*x + 33. Calculate the remainder when 12 is divided by c(-16).
0
Suppose -3*v + 5 + 67 = 0. Let m = v - 4. Let x = 80 + -72. What is the remainder when m is divided by x?
4
Let l(j) = 9*j**2 + 7*j - 9. Suppose 2*d + 5 = 11. Calculate the remainder when l(d) is divided by 16.
13
Suppose 16 = i + i - 2*t, 5 = 5*i + 2*t. Suppose -u + 96 = i*u. Calculate the remainder when u is divided by 13.
11
Let k = 197 - 176. What is the remainder when 119 is divided by k?
14
Let m = 50 + -38. Let o(p) = -p**2 - 2*p + 3. Let q be o(-3). Suppose 4*s - m = -q*s, 0 = -2*r - 3*s + 35. What is the remainder when 48 is divided by r?
9
Suppose 67 = q + 3*p, -q - 4*p + 63 = -0*q. What is the remainder when 394 is divided by q?
78
Let k(n) = -n**3 - 6* | {
"pile_set_name": "DM Mathematics"
} |
6. What is the nearest to -1 in 5, -0.5, u, -9?
u
Let a = -1160.53 - -1166. Let h = a + -5.07. What is the closest to 1 in -4, h, 0.5?
0.5
Let s = -7.36646 - 0.23354. What is the closest to s in 1, -0.07, 4?
-0.07
Let o = -4457 - -4457. What is the nearest to o in 1/4, 1/21, 13?
1/21
Let s(k) = 2*k. Let y be s(-1). Let d = -123.1 + 110. Let h = -16.1 - d. Which is the closest to y? (a) h (b) -2/9 (c) -2
c
Let s = 16322 + -16253. Which is the closest to 1? (a) -2/7 (b) s (c) 8
a
Let q = 0.01848 - 0.01848. Which is the nearest to -3? (a) -1 (b) 1 (c) q (d) 5
a
Let p = -4/1911 + 3866/21021. Suppose 0*s + 3*s - 4*x + 1 = 0, -3*s + 5*x = 2. Let b = 0.03 - 0.03. What is the nearest to b in s, 3, p?
p
Let o be ((-16)/(-21))/8 + 2060/(-168) + 12. Which is the nearest to -0.2? (a) -1/29 (b) o (c) 23
b
Let t be (1 - 6/4)*10. Let y = 15 - 135. Let i = y - -118. Which is the nearest to 1? (a) i (b) -0.2 (c) t
b
Suppose -4*i - 1 - 7 = 0. Let h(y) = y**3 + 8*y**2 + 11*y - 4. Let c be h(-6). Let a be (c/(-725)*10)/((-2)/(-5)). What is the nearest to a in -0.3, 0.2, i?
-0.3
Let f = 7874/27461 + -4/3923. Which is the closest to 0.1? (a) f (b) 4/7 (c) -5 (d) 0.138
d
Suppose 4*l = 12, -14*l = -s - 9*l - 12. Suppose 5*n + 6*n + s*n = 0. Which is the closest to -0.2? (a) n (b) 4 (c) -4
a
Let n = -15328 + 76628/5. Let m = -0.86 - 0.14. What is the closest to n in 0.5, m, -3?
-3
Let j = -73/7 + 74/7. Suppose -5*m - 32 = -7. Let p = 14567 - 14566.7. Which is the closest to j? (a) -4 (b) p (c) m
b
Let j = 7.2 - 4.2. Suppose 3*v + 1 = 2*b, 0 + 5 = -2*b + v. What is the closest to -2/9 in 0, -0.1, b, j?
-0.1
Let u = 11251 - 11251.4. What is the nearest to 31 in u, -3, 3?
3
Suppose -t - 5*w + 19 = 2*t, 5*w - 3 = -t. Let f = 12.07 - -0.53. Let q = f - 13. Which is the nearest to -1? (a) q (b) t (c) -3/2
c
Let x = 0.2175 + 978.7825. Let n = 978.6 - x. Which is the closest to -1? (a) 1 (b) -70 (c) n
c
Let n = 83712/7 + -11959. Which is the nearest to 32? (a) n (b) 1 (c) 2/19
b
Suppose -60*r - 124 + 244 = 0. What is the closest to 0 in 3, r, -10/27, -4?
-10/27
Let i = 13116 + -13111. Which is the closest to -0.3? (a) -43 (b) -4 (c) i
b
Suppose 0 = -6*b - 468 + 492. Let k = 0.25 - 0.33. What is the nearest to k in -2/13, b, -1/15, 1?
-1/15
Let i = -74 + 72.7. Let p = 0.9 + i. Let n = p + -4.6. Which is the nearest to -3? (a) n (b) -0.3 (c) -3
c
Let n = 153.4 + -157.4. Which is the nearest to 3/11? (a) -1 (b) -0.4 (c) n (d) 18
b
Let f = -0.96 + 0.8. Let d = f + 0.1. Let h be ((-1224)/198 - -6)/(1/1). Which is the closest to 0.2? (a) d (b) h (c) 0.1
c
Let i = -16697/46 - -363. Let u = i + 11/23. Which is the nearest to 2/5? (a) 3 (b) -5 (c) u
c
Let m be (-2)/((41 - 40) + 5 + -4). Let t be (-1 - -2) + -6*1. What is the nearest to 1/3 in -0.2, t, m?
-0.2
Let t = 82062 - 82061.9. Let v = 3.2 + -3. Let x = v - 0.4. Which is the closest to t? (a) x (b) -9 (c) -1
a
Let w = -29161 + 29163. Which is the nearest to 0.1? (a) w (b) -9 (c) 22 (d) -0.2
d
Let h(y) = -28*y**2 - 22*y**2 + 73*y + 53*y**2 + 6 + 19. Let z be h(-24). Let g = -46/15 - -12/5. What is the closest to z in 14, g, 3/8?
3/8
Let f be 0 + 18*(-24)/(-864). Which is the nearest to 1? (a) -0.1 (b) f (c) -187
b
Let i = -40 - -29.1. Let l = 11 + i. Which is the closest to l? (a) -5 (b) 7 (c) -1
c
Let o = 1172/9 - 130. Suppose 3*g = 4*m + 4*g - 17, 0 = -3*m + g + 4. Suppose -2*u - 5 - m = 0. Which is the closest to 1? (a) o (b) 0 (c) u
a
Let v = 217.2 + 0.8. Let l = v + -217.9. Let n = -297 + 2373/8. What is the nearest to 0.1 in l, n, 1?
l
Let i = -45 + -67. Let x = i + 112.5. What is the closest to 0 in x, 0.048, 2?
0.048
Let j = 31.21 - 28.21. Which is the nearest to -1? (a) j (b) 3075 (c) 0.1
c
Let y = 1147/5 + -3431/15. What is the closest to -6 in y, 6, -0.02?
-0.02
Let f = -0.62362 + 0.12362. What is the closest to -11/5 in -4, f, -26/9?
-26/9
Let f be -7 + 268/20 + -3. Let p = -59.2 - -59.27. What is the closest to p in -5, 0, f?
0
Let p = 1463/962 + -10/481. Which is the closest to p? (a) 1 (b) -29 (c) -0.4
a
Let r = 0.06028 - 1.06028. Which is the closest to 0.3? (a) 0 (b) -2/3 (c) r (d) -13/6
a
Let u = 116 + -52. Let f = u + -64.5. Let q(o) = o + 4. Let p be q(1). What is the nearest to -0.1 in f, p, -0.3?
-0.3
Let r = -306 + 303. Let o = 0.0237 + 0.1763. Which is the closest to -0.06? (a) r (b) 5 (c) o
c
Let m be ((-105)/28 + 4 - 1/3)*3. Which is the closest to -1? (a) m (b) 52 (c) -12
a
Let o = 13 + -38/3. Let t = 10.12 + -50.82. Let x = t + 30.7. Which is the closest to x? (a) 0.3 (b) 4 (c) o
a
Let l = -4.89 + -1.11. Which is the closest to 2? (a) 4 (b) l (c) -3 (d) -0.4
a
Suppose k + o = 0, 0*o - 2*o = -4*k - 12. Let q be 110/25 - (k - 2*-3). Which is the nearest to -1? (a) 1/67 (b) -0.3 (c) q
b
Let n = -1.292 - -0.892. Which is the nearest to 1? (a) -3.5 (b) 0.5 (c) n
b
Let m = -20.9 - -8.4. Let j = 65.5 - m. Let x = -80 + j. Which is the closest to -0.1? (a) -5 (b) x (c) -0.2
c
Let c = 1370.051 - 1369. Let b = -0.051 + c. What is the nearest to 0 in b, 3, -5/3?
b
Suppose 3*m - 2*k + 38 = 0, -25 = -5*k + 10. What is the closest to -3 in 2/21, m, -5?
-5
Let u = -16395 + 16328. Which is the nearest to -0.1? (a) 4 (b) -20 (c) u (d) 3/4
d
Let t = -4273 - -4273. Which is the closest to t? (a) -3/4 (b) -6/37 (c) 3
b
Let d = -7.392 + 9. Let q = d + 0.392. What is the closest to 2/19 in -1, 3, 2/7, q?
2/7
Let z = -242333/1333013 - 3/121183. Suppose 4*x - 1 + 17 = 0. Which is the closest to z? (a) 2/15 (b) x (c) -1/2 (d) -1/4
d
Suppose -9 = 10*o - 39. Let r(l) = -3*l - 26. Let z be r(-7). Which is the nearest to o? (a) 0.04 (b) z (c) -2
a
Let d be 27013/(-49) + (-4)/(-14). Let q = -551 - d. What is the closest to q in -6/7, 8, -5, 1/2?
1/2
Suppose -7*x - 48 = -10*x - 4*a, -5*a = 3*x - 48. Let f(t) = -t**2 + 15*t - 2. Let d be f(15). What is the nearest to x in 0.1, d, -2/3?
0.1
Let v be -1*(5 + -1)*9/24. Let d = -14.9 - 0.1. Let q = 1593 + -1594. Which is the closest to q? (a) 1/6 (b) v (c) d
b
Let c = 0.01 + -0.04. Let i = -0.07 + c. Let b = -536 + 531. What is the closest to i in -0.06, b, 0.2?
-0.06
Let i = 777 + -1301. Let b = 525 + i. What is the nearest to -0.2 in b, 6/7, -7?
6/7
Suppose 11*t = 3*q + 16*t - 52, -3*q = -2*t - 17. What is the closest to 18 in -5, q, -1/3, -0.5?
q
Let t be ((-112)/(-490))/(7/5 - 1). Let q = 1.4 + -2.4. Let k = q + 0.9. What is the nearest to k in t, 3, 0?
0
Let z = 1.9 - 1.9. Let l = 47 + -48.39. Let y = l + 1.79. Which is the closest to z? (a) 1 (b) y (c) -5
b
Suppose -4*k = 2*s + 12, k = -3*k - 4. Suppose -32 = -25*x + 21*x. Let l be 2/(4/(-18)*(-12)/x). Which is the nearest to -1? (a) l (b) 3 (c) s
c
Let d = -317.7 - -318. Suppose 2*b + 5 = -5*r, 4*r - 4 = -4*b - 8. What is the closest to b in d, -2/23, -4?
-2/23
Let y = 22723.2 - 22723. What is the nearest to 0 in -1/6, -5, -1.3, y?
-1/6
Let r = -1.90646 - 0.09354. What is the nearest to 368 in r, -5, -0.3?
-0.3
Let q(t) = 4*t - 9. Let w = 114 + -112. Let d be q(w). Which is the nearest to 0? (a) -3 (b) d (c) 0.1
c
Let r = 0.15 + -0.2. Let z = -21980/3 + 7326. Which is the nearest to -2/7? (a) -5 (b) r (c) z (d) -0.4
d
Let a = 3554.4 + -3554. Let m(j) = -j**3 + 5*j**2 + 7*j - 5. Let p be m(6). What is the nearest to p in -1/4, a, 2/9?
a
Let f = 1/10474 - -20929/199006. What is the nearest to -17 in 1, f, 3/5?
f
Let d = -1.34 + 0.54. Let z = 1 + d. What is the closest to 3 in -0.1, 2/5, z?
2/5
Let y = -309984 + 309983. Let t be 9/(-7) - 6/(-21). Let w = t - 1. What is the nearest to 1/4 in 1, y, w?
1
Let i(m) = -63*m**2 - 2*m + 24. Let x be i(0). What is the closest to 18 in 3, 0.4, x, -5?
x
Suppose f - 4*g - 12 = -f, -5*f - g = 14. Suppose 3*m - 23 = 5*k + 5*m, k = 2*m + 5. Let q be 5 + -4 - 8 - k. What is the closest to f in -5, q, -1/2?
-1/2
Suppose -16*c - 5 = -11*c - 5*b, 0 = -2*c + 5*b - 11. Suppose 73 = c*f + 67. What is the closest to 1 in -67, 0.3, f, 0.4?
0.4
Let q = -0.98 - 0.02. Let p = -1.818 - 0.182. Which is the nearest to p? (a) q (b) -3/8 (c) -0.1
a
Let d be ((42/(-210) - (-2)/(-15))*-30)/(-6). Which is the nearest to 1? (a) -20 (b) -5/36 (c) d
b
Let c = -5238 - -5239. What is | {
"pile_set_name": "DM Mathematics"
} |
-48/13
Evaluate (3749/815)/((-18)/30).
-23/3
Evaluate (16/(-7))/(129675/(-18473) + 7).
116
(8/(-65))/(6544/(-8180)) - (-9)/78*-426
-49
Evaluate ((-560)/1100)/(33/(11979/330)).
-14/25
Calculate 30/(33930/5249) - 63/27.
30/13
Evaluate ((-35)/5 + (-77 - 2))*(5 + (-11)/2).
43
Calculate (-17)/(5508/24) - (-302192)/14688.
41/2
Calculate -2 + 4 - 104/468*-54.
14
What is the value of (6/(-4))/((8736/(-286))/56*(-143)/(-416))?
8
Evaluate ((-1554)/(-70) + -21)*(-1)/3.
-2/5
Evaluate (23/(-2))/(11 - 0 - (386 - 373)).
23/4
What is the value of 22/(-132)*241 + (-3)/(-18)?
-40
Calculate ((-6)/(-12))/((-2)/(-42))*((-1235)/(-195) + -7).
-7
What is the value of (4/(25 - 13)*-33 - 27) + -5 + -2?
-45
1192/(-18) + ((-2)/(-13))/(-33 + 6132/182)
-66
64/(372 - 52)*(-5)/29
-1/29
(-4)/(-10)*(-59 + -1)*(-106 - (-2454)/24)
90
What is the value of 912/(30 + 8) - 17?
7
Evaluate -4 + 10/(-15)*27/(-1278)*283.
-1/71
Calculate 91/(-39)*(-57792)/(-1568).
-86
Calculate (-572)/(-320) + -5 - -3 - ((-1288)/(-115))/(-28).
3/16
Evaluate -83 - (-12932)/(-1802) - 6/(-34).
-90
51 - (33 - 1728/(-84))
-18/7
What is 6003/690 - 164/20?
1/2
What is (54/(-13) + 2)*73060/(-16860)?
28/3
Evaluate ((-144)/60)/((-1056)/(-1200)*5).
-6/11
What is (-556)/(-18626) - ((-5928)/(-1072) + -3)?
-5/2
What is (8 + (-5925)/1275)*17?
57
What is (-7)/(5005/(-390))*-22*(-10)/3?
40
What is (-13)/((-65)/(-110)) + (-77 - -122)?
23
Evaluate 231 + -232 + (-51 + -8 - 0).
-60
What is 6 - (270/(-63))/(1 - (-21)/(-12))?
2/7
(-28)/(672/6) - (-4)/(48/153)
25/2
What is 704/144*((-1643)/(-155) + 24/(-15)) - 6?
38
Calculate -6 + -13 + (-2)/18*5166/(-82).
-12
((-2)/(-50)*-1)/(20048/(-25060)) - (-74)/120
2/3
Calculate 6/(-21) - (-8085)/39102.
-3/38
What is 2/(-24) + (42 - 61/(19032/16510))?
-11
20/6*73/((-278495)/(-21))
2/109
Calculate 1*(-2)/3*(-1320)/(-14) - (-3496)/(-24472).
-63
(-12)/(-30)*((-38)/4)/((-16)/2320*-29)
-19
Calculate 24/9*(9990/(-3456))/(-185).
1/24
266/(-19)*((-4)/30 + (-2950)/375 + 10)
-28
Evaluate 1 + (1846/213)/(8/(-48)).
-51
Calculate 144/(-374) + (((-273)/(-3432))/(-7))/((-1)/8).
-5/17
What is ((-60)/(-48))/(((-78)/(-130))/((-24)/(-10)))?
5
Calculate (-7 + (-583)/(-33))/((-19)/114).
-64
2/(-6)*((-158410)/8370 - 6/81)
19/3
What is the value of 193/5 - 41*(-456)/(-11685)?
37
(130456/(-12053))/((-11)/(187/(-2)))
-92
((-98)/7)/(-42)*(-477)/21 - (77 - 84)
-4/7
What is 60/(-36)*840/700?
-2
What is the value of 170/29325*115*(-3)/(-5)?
2/5
What is 15 - 14700/510 - (-12)/(-68)?
-14
(-25383)/67688*(-280)/1
105
What is (1 - (-4)/(-1))*(2806/171166 - (-7804)/244)?
-96
What is the value of 17700/(-19116)*(-42)/350?
1/9
Calculate 9/(81/42)*10908/4242.
12
Evaluate ((-133)/14)/(144/64)*54/(-12).
19
What is the value of 6/(-63)*2*180/(-7680)*2?
1/112
238/272 + (107198/8176 - 14)
-1/73
(-1)/(-25) - ((-7269)/150 - (-1023)/(-682))
50
-16*(188/(-282) - (-5)/12 - 9/(-12))
-8
What is (-13)/((-234)/33)*((-216)/(-66) + -3)?
1/2
Calculate (-441 + -7)/16 + (-10*33/(-110) - -3).
-22
Calculate 1/(240/(-36)*(-10)/(-212) - 12/(-36)).
53
360/(-11 - 4) - (-810)/18
21
Evaluate (((-364)/210)/26)/((-22)/770).
7/3
Evaluate (1889427/(-278))/197 - (-8 + 1).
-55/2
What is 225/(-45) + -19 + -27?
-51
What is ((-61)/6222*170)/((-100)/72)?
6/5
What is the value of (3 - 7016/2392) + (-502)/(-5773)?
2/13
What is the value of ((-130)/(-8))/(2225/(-10680)) + 3 + (-14 - -10)?
-79
4 + 36/(-8) + (-378)/(-252) + (26 - 2)
25
Calculate (6 + -5)*(117/(-78) - 101/2).
-52
What is -37 + ((-198)/351*-104 - 19)?
8/3
Calculate 10/8*211768/4120 + (-21)/36*-3.
66
Calculate 20/(-100) + (27 + 12716/(-595) - 6/14).
5
What is -2*(48/(-22) - 4095/(-198))?
-37
What is the value of ((-9)/30 - (-28)/(-280))/((-434)/10 - -7)?
1/91
Calculate 47633920/(-662400) - (-1 + -71).
4/45
What is the value of 177244/(-26280) + (-4)/(-9) + 6?
-3/10
Evaluate (-45 - 3) + -637 + 646.
-39
What is the value of 35/((-80850)/(-3020)) - -3*90/(-189)?
-4/33
4/(-160)*(-24 + 20 + (-80)/(-18))
-1/90
Calculate (3/(-4))/(15702/(-774632)).
37
Evaluate -7 + ((-48)/(-15))/((-192)/(-1440)).
17
Evaluate 3*3/(-27)*111*(423 - 422).
-37
-8 - (38 + -35) - (-2 + 177/(-19))
6/19
What is the value of (-168 + 1712890/10197)/((-1)/(-18))?
-4/11
Calculate (-12 - (-19 + -4))/(((-1 - 0)/1)/1).
-11
What is ((-2)/((-18)/45) - 21) + 11?
-5
Calculate 401801/33559 + 4/296*2.
12
Evaluate (-18)/(-1)*(3477/(-61))/(-3591).
2/7
Calculate 336/(-644) + (-385169)/3197.
-121
Calculate -3*(4 + 7/14*(-2560)/48 + 4).
56
Calculate -8 - (-592)/320 - (-1755)/468.
-12/5
What is -5 + 14/4*(-286)/(-182) + (-20)/(-40)?
1
What is -8 - 370/(-40) - 3165/(-30)*(-1)/(-2)?
54
(-208)/2730*198/(-264)
2/35
33/93*8/6*1452/10648
2/31
(42/56 + 299/(-92))/(5/72)
-36
Calculate ((-4977)/(-3555))/((-14)/(-12)) + (-902)/935.
4/17
What is the value of 62 - -22*(-168)/132?
34
972 + -902 + (1 - 25 - (7 - 9))
48
-73 + 33330/440 + 135/(-4)
-31
Calculate (-456)/(-4576) - (18/(-3150)*-50)/((-26)/(-7)).
1/44
Calculate (-159)/4505*-561*(-15)/(-9).
33
(-27636)/708 - ((-5208)/472 - -11)
-39
(-318 + 319)/((-5)/(-170))
34
What is the value of -9 + ((-28)/(-14) + (-2 - 53) - -13)?
-49
Evaluate (11/(-55))/(5/(-325)) - (-70)/(-7).
3
(-4 + 228/(-95))*(148/(-56) + 3)
-16/7
What is 32*(-500)/6400*8/5?
-4
(-99)/1485 + 6624/135
49
Calculate (-6)/(-2) - (2 - -35).
-34
Calculate (223 - 220)*(4/(-18) - -1).
7/3
What is the value of (-14 + -34)*13/(-39)?
16
What is ((3968/(-336))/62)/(1*(-6)/(-7))?
-2/9
Calculate (14*45/(-252))/((-5)/126).
63
What is (-10706)/18685 + 3/5?
1/37
(-180)/2*(-6033)/211155
18/7
What is the value of (0 - -7) + (164 + -62 - 78)?
31
((3/(-21))/(69/(-276)))/(40/28)
2/5
Evaluate (36/15)/(9590/(-3425)).
-6/7
Calculate 598/(-2392)*22/(-121)*1*2.
1/11
What is the value of (-49)/(-119) - 2793780/(-47685)?
59
(-46763)/(-926) + 2/(-4) - (9 + 4)
37
What is the value of (-4)/(-36) - 46/((-16560)/(-200))?
-4/9
(-3)/24 + ((-21607)/328 - (-2 - (5 - 6)))
-65
Calculate ((-20)/(-75))/((3/(-6))/((-260)/208)).
2/3
Calculate (-197895)/42660 - 14/(-8).
-26/9
What is the value of -84 + (-70056)/(-832) + 8/(-64)?
1/13
((-88)/(-4))/(-2) - (-31 + 3281/153)
-13/9
Evaluate ((-8)/6)/(2576/7728) + 1/(-42)*-167.
-1/42
Evaluate (-16 + 2920/219)*(9/26 - 0).
-12/13
(63 - 57)*((-2760)/(-468) + -6)
-8/13
Evaluate 1*(-14 + 1) + (72/48)/(1/(-6)).
-22
Evaluate 16 - (19 - 23/7) - (-92)/(-28).
-3
Evaluate 10*((-165)/20 - -8).
-5/2
What is the value of -20 - (36 + (16 - 31)) - 24/2?
-53
Evaluate (2408/(-645))/28 + ((-9088)/(-120) - 4/(-10)).
76
What is the value of (-140)/20 + 42/7392*1166?
-3/8
Calculate ((-4)/12 + -5)*7083/(-1574).
24
(-36)/81*(-1 + (-42)/(-36) - 2/(-6))
-2/9
What is the value of ((-2522)/(-1358))/((-120)/(-126) - 1)?
-39
What is the value of -89 + 68 + 64 - 4/2?
41
Evaluate 42 - 21*(-8284)/(-4389).
26/11
What is ((-17)/(1224/(-16)))/(10/(-141)) - -4 - 1?
-2/15
What is (1 - -6 - 6)*(-21)/(-42)?
1/2
(-28)/30 - ((-22)/55 - (480/75)/32)
-1/3
Calculate (-79)/(3555/(-54))*(28/28 + 26/(-6)).
-4
Evaluate 55016/(-61893) - (-3 + 1380/27).
-49
What is the value of ((-7524135)/600)/111 - 18/720?
-113
(2*(-22)/16 - -3) + 2 + 630/(-312)
3/13
Evaluate 14*5*(-4)/1520*((8 - 0) + -6).
-7/19
What is (-1 + 2)/(50621/(-446))?
-2/227
(317/(-17435))/(((-2)/(-33))/((-4)/(-12)))
-1/10
Calculate (54*(-299 + 301 + 34/(-16)))/(1/(-8)).
54
What is 9*(67 - 19082/261)?
-55
What is (-2 - (1 + 12/15)*-1)/((-2183065)/(-448575))?
-3/73
(-8)/((-112)/246) + (-7 + 28 - 8) + -26
32/7
Evaluate 279/(-27) + 32705/3255 - (-285)/(-7).
-41
What is (-27*36/540)/(-5 + (-1337)/(-70))?
-6/47
Calculate (119 - 120) + 80/4 + 27.
46
Calculate (58/10)/(15/10*42/(-63)).
-29/5
What is the value of 0 - 10 - (-13 - ((-420)/245)/(40/(-476)))?
117/5
What is the value of (534905/2639 + -203)/(54/(-13))?
2/27
What is 469/(-134) - (-3)/(-2) - 828/(-108)?
8/3
30/36*-2*(44064/255)/(-8)
36
Evaluate -15*(4/2 + -5)*19/15561*91.
5
1750/6300 + (-4)/18
1/18
What is 2726/29 - (-1155)/(-21)?
39
1/(-15)*-8 - 12366683/(-3443160)
33/8
What is the value of 3*(3 + 10 + 0 + -10) + (-31 - -63)?
41
What is 0 - -9 - (30024/5560 + (-134)/10)?
17
What is (-528200)/(-5560) + 6841/(-72)?
-1/72
What is 339/21 - (35108/2345 + -4*(-1)/140)?
8/7
Evaluate ((-90)/66)/15 + (-3948)/616.
-13/2
What is the value of 14600/(-450)*-3 + (-2)/9*48/32?
97
What is the valu | {
"pile_set_name": "DM Mathematics"
} |
and 592?
8
What is the highest common factor of 44 and 3516601?
11
What is the greatest common divisor of 56 and 61432?
56
What is the greatest common divisor of 52078 and 52?
26
What is the greatest common factor of 1862 and 4541?
19
Calculate the highest common factor of 496 and 59768.
248
Calculate the greatest common factor of 101484 and 1476.
36
Calculate the highest common divisor of 3221 and 9.
1
Calculate the greatest common factor of 1055 and 39668.
211
Calculate the greatest common divisor of 184 and 1663406.
46
Calculate the highest common factor of 973882 and 182.
182
What is the greatest common factor of 6 and 1536?
6
What is the highest common factor of 7180 and 10460?
20
What is the greatest common factor of 20831 and 269114?
563
What is the greatest common divisor of 721 and 24308?
103
What is the greatest common factor of 53 and 1005?
1
Calculate the greatest common factor of 3 and 116373.
3
Calculate the greatest common divisor of 1514158 and 794.
794
What is the greatest common factor of 4781080 and 2?
2
What is the greatest common divisor of 393 and 1121622?
393
What is the highest common divisor of 551147 and 265?
53
What is the highest common divisor of 38267 and 17?
17
Calculate the greatest common divisor of 188802 and 36.
18
What is the greatest common divisor of 7903 and 49?
7
Calculate the greatest common factor of 3426 and 48.
6
Calculate the greatest common factor of 129391 and 1.
1
What is the highest common divisor of 646427 and 259?
37
What is the highest common divisor of 188 and 1804800?
188
What is the greatest common factor of 374608 and 64?
16
What is the greatest common divisor of 11124 and 31209?
309
Calculate the highest common factor of 39289 and 11281.
389
Calculate the highest common factor of 46 and 113413.
23
Calculate the greatest common factor of 9020 and 6215.
55
What is the highest common divisor of 9416 and 749?
107
Calculate the greatest common divisor of 3542 and 11550.
154
Calculate the greatest common divisor of 2056354 and 1054.
1054
Calculate the highest common factor of 1938 and 713830.
646
Calculate the greatest common divisor of 202188 and 332.
332
Calculate the highest common divisor of 1265199 and 351.
39
Calculate the greatest common divisor of 2954 and 7000.
14
What is the greatest common divisor of 18870 and 185?
185
What is the highest common divisor of 68 and 22016?
4
Calculate the greatest common divisor of 126 and 38220.
42
What is the greatest common factor of 18531 and 609?
87
What is the highest common divisor of 2048060 and 700?
140
What is the highest common factor of 1440 and 307584?
288
What is the greatest common divisor of 1792 and 336?
112
What is the greatest common factor of 5016 and 407352?
264
What is the highest common divisor of 5080303 and 313?
313
Calculate the greatest common divisor of 433188 and 540.
108
Calculate the greatest common factor of 144523 and 43.
43
Calculate the highest common factor of 1924 and 195.
13
What is the greatest common factor of 134 and 1831646?
134
Calculate the greatest common factor of 55 and 4169.
11
Calculate the greatest common divisor of 104799 and 115800.
579
Calculate the highest common divisor of 66 and 272778.
66
Calculate the greatest common divisor of 536085 and 722.
361
What is the highest common factor of 372 and 320788?
124
Calculate the highest common divisor of 8430 and 2190.
30
What is the highest common divisor of 38130 and 465?
465
Calculate the highest common divisor of 28 and 62314.
14
What is the greatest common divisor of 1159 and 259921?
61
What is the greatest common factor of 47790 and 126?
18
Calculate the highest common factor of 2430 and 18.
18
Calculate the highest common factor of 1235 and 3055.
65
Calculate the greatest common divisor of 2772 and 251064.
396
What is the highest common factor of 124 and 288?
4
Calculate the greatest common factor of 13 and 41717.
13
Calculate the greatest common divisor of 690998 and 2156.
1078
What is the highest common factor of 36 and 159892?
4
Calculate the highest common factor of 1 and 42264.
1
What is the greatest common divisor of 740149 and 67?
67
Calculate the highest common factor of 320 and 20352.
64
What is the highest common divisor of 38752 and 4312?
56
What is the greatest common divisor of 60 and 4108?
4
Calculate the greatest common divisor of 215730 and 47.
47
What is the highest common factor of 583 and 106?
53
Calculate the greatest common divisor of 20 and 70590.
10
Calculate the greatest common factor of 1785816 and 153.
153
Calculate the highest common factor of 14933 and 1507.
137
What is the greatest common factor of 9 and 13077?
9
Calculate the greatest common divisor of 95 and 46379.
19
What is the highest common factor of 275 and 10296?
11
Calculate the highest common divisor of 549 and 6819129.
549
What is the greatest common divisor of 13167 and 44?
11
What is the greatest common factor of 662837 and 161?
161
Calculate the greatest common factor of 27261 and 234.
117
Calculate the greatest common factor of 1456 and 4208.
16
What is the highest common factor of 5378172 and 296?
148
What is the greatest common divisor of 34486 and 86?
86
What is the greatest common factor of 12 and 179?
1
What is the greatest common divisor of 73728 and 12?
12
What is the greatest common divisor of 28193 and 19602?
121
Calculate the greatest common factor of 1628 and 897842.
814
What is the highest common factor of 10917 and 219553?
1213
What is the greatest common divisor of 79768 and 2392?
104
Calculate the highest common factor of 221 and 130949.
13
Calculate the highest common factor of 407 and 49973.
11
What is the highest common factor of 3430 and 240?
10
What is the highest common divisor of 691 and 57353?
691
Calculate the greatest common divisor of 12549 and 19599.
141
What is the greatest common factor of 648 and 10440?
72
What is the greatest common factor of 7021 and 833?
119
Calculate the greatest common factor of 84836 and 508.
508
Calculate the highest common factor of 360 and 13788.
36
What is the highest common factor of 107 and 678594?
107
What is the greatest common divisor of 4796 and 4972?
44
Calculate the greatest common factor of 1976 and 8008.
104
Calculate the greatest common factor of 750 and 4585.
5
Calculate the greatest common factor of 261056 and 832.
64
What is the greatest common divisor of 1187462 and 76?
38
Calculate the greatest common factor of 8 and 243224.
8
Calculate the highest common divisor of 75 and 20350.
25
What is the greatest common divisor of 495 and 39435?
165
Calculate the highest common divisor of 174087 and 828.
207
What is the greatest common divisor of 210 and 14730?
30
Calculate the greatest common factor of 12 and 45688.
4
What is the highest common factor of 4625 and 800?
25
Calculate the highest common divisor of 60 and 5790.
30
What is the highest common divisor of 1791830 and 1180?
590
What is the highest common divisor of 46 and 1511974?
46
Calculate the highest common factor of 4 and 35696.
4
What is the greatest common factor of 436 and 304?
4
What is the highest common divisor of 49732 and 1?
1
What is the highest common divisor of 161032 and 8?
8
What is the highest common factor of 7738 and 1908?
106
What is the highest common factor of 152 and 3078?
38
Calculate the greatest common factor of 1887 and 1133754.
111
What is the greatest common divisor of 6741 and 2772?
63
What is the highest common factor of 7420 and 2180?
20
Calculate the highest common divisor of 2962336 and 416.
416
Calculate the highest common divisor of 151870 and 10.
10
Calculate the greatest common divisor of 236777 and 97.
97
What is the greatest common divisor of 3166970 and 5?
5
What is the highest common factor of 12 and 437184?
12
What is the highest common factor of 1703 and 1378?
13
What is the highest common divisor of 187512 and 16?
8
What is the highest common divisor of 2655 and 2115?
45
Calculate the greatest common factor of 3848 and 216968.
296
Calculate the highest common factor of 2370 and 21480.
30
Calculate the highest common divisor of 13305 and 4.
1
Calculate the highest common factor of 7344 and 47088.
432
Calculate the greatest common factor of 1914 and 3422.
58
What is the highest common di | {
"pile_set_name": "DM Mathematics"
} |
= 2*v + 3*v. Let g(p) = 5*p**3 + 3*p**2 - 3. Calculate v*g(x) - 4*q(x).
x**3 - x**2 + 1
Let b(w) = -9*w**3 - 2*w**2 + 5*w - 9. Let s(o) be the second derivative of o**5/4 + o**4/12 - o**3/2 + 5*o**2/2 + 9*o. Give -3*b(t) - 5*s(t).
2*t**3 + t**2 + 2
Let a(o) = -o**3 + o - 1. Let p(n) = 9*n**3 - 9*n**2 - 5*n + 3. Determine 5*a(b) + p(b).
4*b**3 - 9*b**2 - 2
Let t(h) be the first derivative of h - 3. Let l(z) = -z + 1. Calculate l(p) - 3*t(p).
-p - 2
Let f(p) = -p**3 + 12*p**2 + 15*p - 19. Let s be f(13). Let x = s + -3. Let g(j) = -2*j**2 - 5*j. Let q(i) = 4*i**2 + 11*i. Calculate x*q(o) + 9*g(o).
-2*o**2 - o
Let y(f) = -9*f**2. Let c(d) = -19*d**2. Give 6*c(u) - 11*y(u).
-15*u**2
Let y(u) = 5*u + 16. Let s(w) = -21*w - 64. What is 2*s(o) + 9*y(o)?
3*o + 16
Suppose -5*i - 11 = -0*n + 4*n, 0 = -4*n - 3*i - 5. Let g(c) = -3*c - 3. Let u(v) = v + 1. Calculate n*u(z) + g(z).
-2*z - 2
Suppose -x + 4 = -0*x. Suppose -2*w + 12 = x*u, 0 = -w + 2*u - u - 9. Let n(p) = 2*p + 3*p**2 + 0*p - 2*p - 2*p. Let h(z) = z**2. What is w*h(r) + n(r)?
-r**2 - 2*r
Let w(h) = -h + 2*h**3 - 2*h - h - 4*h**2. Suppose 4*d - 2*d = 2*f - 12, 17 = -3*f - 4*d. Let l(g) = -g**3 + g**2 + g. Determine f*w(a) + 4*l(a).
-2*a**3
Suppose -6*n + 2*n = -24. Let v(w) = w**2 - 6*w + 6. Let a(m) = 7*m + 6 - 3*m**2 - 23 + 10*m. Calculate n*a(s) + 17*v(s).
-s**2
Let t(p) = -3*p - 1 - 4*p**3 - 2*p**2 - 4*p**3 + 9*p**3 + 4*p**2. Let u(y) = -10*y + 7*y**2 - 1 - 2 + 3*y**3 + 0*y**3. Calculate 7*t(m) - 2*u(m).
m**3 - m - 1
Let j(o) = 10*o**3 + o**2 - o - 1. Let r(x) = -10*x**3 - 2*x**2 + x + 1. Calculate -3*j(z) - 2*r(z).
-10*z**3 + z**2 + z + 1
Let z(q) = -q - 2. Let f be 10 + (2 - 6) + 1. Let y(k) = 2*k + 3. Give f*z(g) + 5*y(g).
3*g + 1
Let q(z) = -7*z**3 - 2*z**2 - 2*z - 2. Let a(p) = -21*p**3 - 7*p**2 - 7*p - 7. Calculate 2*a(s) - 7*q(s).
7*s**3
Let g(n) = -3*n + 5. Let r(y) be the first derivative of 3*y**2 - 9*y - 10. What is -5*g(z) - 3*r(z)?
-3*z + 2
Let q(k) = 6*k - 1. Let t(b) = -b - 1. Give q(z) + 3*t(z).
3*z - 4
Let s(v) = 4*v**2. Let m(u) = 4*u**2 + u + 1. What is -2*m(d) + 3*s(d)?
4*d**2 - 2*d - 2
Let j(w) = -w**3 - w - 1. Let f(r) = 7*r**3 + 11*r**2 + 6*r + 11. Let k(q) = -f(q) - j(q). Let y(g) = -g**3 - 2*g**2 - g - 2. Determine 2*k(p) - 11*y(p).
-p**3 + p + 2
Let y(b) = -2*b + 6. Let n(j) = -3*j + 7. Calculate -5*n(p) + 6*y(p).
3*p + 1
Let j(g) be the second derivative of -g**2/2 - g. Let v(d) = d**3 - 1. Let f be v(1). Suppose f*z + 12 = -4*z. Let p(a) = 2*a + 3. Calculate z*j(n) - p(n).
-2*n
Let f(m) = -m**3 + m - 4. Let h(s) = -s + 3. What is -3*f(v) - 4*h(v)?
3*v**3 + v
Let b(p) = -2. Let g(f) = -f + 1. Determine 4*b(v) + 6*g(v).
-6*v - 2
Let y(x) = 29*x + 4. Let c(b) = -14*b - 2. Determine -5*c(d) - 3*y(d).
-17*d - 2
Let c(w) = 3*w**3 - 4*w**2 + 3*w - 4. Let g be 9/(9/(-8)) + 5. Let l(q) = 2*q**3 - 3*q**2 + 3*q - 3. Calculate g*c(o) + 4*l(o).
-o**3 + 3*o
Let x be 4/(-6)*3/(-1). Let h(b) = -4 + x - 2. Let n(p) = -p - 9. Give 5*h(l) - 2*n(l).
2*l - 2
Let b(f) = 2*f**2 + 5*f. Let r(t) be the first derivative of t**3/3 + t**2/2 + 4. Determine -b(z) + 5*r(z).
3*z**2
Let v = 51 - 44. Let y(d) = -6*d**3 + 9*d**2 + 11*d. Let h(c) = -3*c**3 + 5*c**2 + 6*c. Calculate v*h(z) - 4*y(z).
3*z**3 - z**2 - 2*z
Let j(s) = 8*s**3 + s**2 - 6*s - 8. Suppose 9 + 7 = 4*l + 2*b, l = -3*b - 6. Let i(a) = -23*a**3 - 3*a**2 + 17*a + 23. What is l*i(h) + 17*j(h)?
-2*h**3 - h**2 + 2
Let s(z) = -133*z**3 + 114*z**2. Let i(k) = k**3 - k**2. What is 114*i(b) + s(b)?
-19*b**3
Let o(k) = 2*k**3 + 3*k**2 - 3*k - 5. Let s be (-54)/15*15/(-3). Let d = 13 - s. Let j(t) = -5*t**3 + 5*t + 2*t**3 - 4*t**2 + 9 - t**2. What is d*o(n) - 3*j(n)?
-n**3 - 2
Let d(u) = -2*u + 34. Let n be d(0). Let p(y) = -y + 3. Let m(v) = 6*v - 17. Calculate n*p(l) + 6*m(l).
2*l
Let o(t) = t - 1. Let j(x) = x**3 + 11*x**2 + x + 12. Let f be j(-11). Suppose f = -p + 2*p. Let n(k) = 1 + 4 - 8*k - p + 3*k. Determine n(g) + 3*o(g).
-2*g + 1
Let r(c) = -9*c**2 + 6*c**2 + 4*c**2. Let s(y) = -7*y**2 + 2*y - 2. Give 6*r(x) + s(x).
-x**2 + 2*x - 2
Let j(m) = m**2 + 4*m - 22. Let f be j(-7). Let k(g) = g**3 + g. Let x(h) = -h**3 + h**2 + h. Give f*k(t) + x(t).
-2*t**3 + t**2
Suppose -5*b + 3*b = -l - 16, 0 = 3*b + 2*l - 10. Let z(w) = -w. Let g(t) = 2*t + 1. Calculate b*z(f) + 2*g(f).
-2*f + 2
Let d(i) be the third derivative of -i**4/8 + 4*i**3/3 + i**2. Let p(z) = -z + 1. Give d(o) - 6*p(o).
3*o + 2
Let u(h) = 39*h + 1. Let q(a) = a. Calculate 6*q(v) - u(v).
-33*v - 1
Let m(h) = -h + 6. Let n(o) = -o**2 - 2*o + 19. Let g(j) = 8*m(j) - 3*n(j). Let q(v) = 4*v**2 - 3*v - 13. Determine -7*g(s) + 5*q(s).
-s**2 - s - 2
Suppose 3*b = 4*b + 1. Let n(s) = -s. Let v(f) = -f - f**2 + f - f - 5*f. What is b*v(j) + 6*n(j)?
j**2
Let g(z) = 23*z**2 - 17*z - 24. Let w(t) = 8*t**2 - 6*t - 8. Give 6*g(n) - 17*w(n).
2*n**2 - 8
Let z(o) = -14*o**2 + 10. Let p(m) = m**2 - 1. What is 12*p(v) + z(v)?
-2*v**2 - 2
Let z(c) = -c. Let n(s) = 154*s. Determine n(o) + 132*z(o).
22*o
Let l(d) = -2*d**2 - 3*d - 5. Let x(r) be the first derivative of 2*r**3 + 4*r**2 + 14*r - 1. Let w be (-4)/(-16) + 11/4. Calculate w*x(h) + 8*l(h).
2*h**2 + 2
Let x(n) = -1 - 3 + 3 + 2. Let f(z) = -2*z + 1. Let y(i) = 5*i - 2. Let a(d) = -9*f(d) - 4*y(d). Calculate a(l) + 4*x(l).
-2*l + 3
Let l(m) = m**3. Let g(h) = 6*h**3 + 25*h. Give -g(c) + 4*l(c).
-2*c**3 - 25*c
Let j(v) = -4*v**3 - 2*v**2 - 6*v + 1. Suppose 4*f + t - 19 = 0, 0 = -f + t - 4 + 15. Let n(m) = 3*m**3 + 2*m**2 + 5*m - 1. Determine f*n(a) + 5*j(a).
-2*a**3 + 2*a**2 - 1
Suppose -o = -5*o + 2*v + 12, -2*v = 3*o - 9. Let l(m) = -3 + 5 - o - 5*m. Let h(k) = k. Suppose -4*b = 6 + 18. Give b*h(q) - l(q).
-q + 1
Let r(q) = 3*q**2 - q + 3. Let a(j) = 4*j**2 - j + 4. Calculate 4*a(s) - 5*r(s).
s**2 + s + 1
Let c = 10 + -7. Let y(n) = 5*n - 2. Let q(d) = 14*d - 6. Give c*q(i) - 8*y(i).
2*i - 2
Let c(r) = r**2 - r + 1. Let o(j) = -j**3 + 4*j**2 - j - 4. Determine 3*c(g) - o(g).
g**3 - g**2 - 2*g + 7
Let q(y) = -y**3 + 5*y**2 - 6*y + 1. Let c be q(3). Let r(z) = z**3 - z**2 - z. Let j(k) = -4*k**3 + 3*k**2 + 3*k - 3. Calculate c*j(n) + 3*r(n).
-n**3 - 3
Let d = -5 - -8. Suppose 1 - d = x. Let l(c) = 2*c**2 - 8. Let j(q) = 1. Let b(v) = -18*j(v) - 2*l(v). Let o(m) = -9*m**2 - 5. Calculate x*o(u) + 5*b(u).
-2*u**2
Let p(k) = k**2 + k. Let d(m) = 5*m**3 - 5*m**2 - 2*m - 1. Determine -d(w) - 5*p(w).
-5*w**3 - 3*w + 1
Let i(q) = -3*q**2 + 4*q - 4. Let c(t) = -t**2 + t - 1. Determine -4*c(p) + i(p).
p**2
Let a(q) = -q**3 + 2*q. Let t(k) = k**3 + 1. Let u(v) = 8*v**3 - 11*v + 2. Let f(h) = 2*t(h) - u(h). Suppose -6*g - 5 = 19. Determine g*f(i) + 22*a(i).
2*i**3
Let y(n) = -18512*n**3 + 623*n**2 - 623*n + 623. Let d(g) = -89*g**3 + 3*g**2 - 3*g + 3. Determine 623*d(w) - 3*y(w).
89*w**3
Let z(v) = -5*v**2 + 4*v + 1. Let n(p) = 11*p**2 - 9*p - 1. Determine 2*n(i) + 5*z(i).
-3*i**2 + 2*i + 3
Let t(r) = 3*r. Let w(o) = 2*o. Calculate 4*t(u) - 9*w(u).
-6*u
Let m be (-4 + 2)*13/(-2). Let f = m + -8. Let y(d) = -d + 9. Let b(h) = -2*h + 22. Give f*b(s) - 12*y(s).
2*s + 2
Let v(z) = z**3 + z**2 + 1. Let w(f) = 25*f**3 + 3*f**2 + 3. Determine -3*v(m) + w(m).
22*m**3
Let p(r) = 31*r**2 - 11. Let x(n) = 6*n**2 - 2. Determine -2*p(k) + 11*x(k).
4*k**2
Suppose 4*c = 9*c - 20. Let s(q) = q**2 - q - 5. Let y(z) = 1. Let d = 6 - 4. Suppose -l = d*l - 3. Determine c*y(k) + l*s(k).
k**2 - k - 1
Let m(r) = -4*r**3 + 2*r**2 - 2*r - 12. Let z(s) = 5*s**3 - 2*s**2 + 2*s + 13. Calculate -4*m(n) - 3*z(n).
n**3 - 2*n**2 + 2*n + 9
Let c = -1 - -3. Let k(y) = y + 6. Let o(h) be the third derivative of h**3/6 + 10*h**2. Calculate c*k(t) - 14*o(t).
2*t - 2
Let c(x) = -15*x**3 - 7*x. Let d(o) = 10*o**3 + 5*o. Calculate 5*c(z) + 7*d(z).
-5*z**3
Let g(w) = -3*w**3 + 6*w**2 + 4*w + 6. Let m(a) = -a**3 + a**2 - a + 1. Determine -g(o) + 6*m(o).
-3*o**3 - 10*o
Let g(w) = -w**2 - 3*w - 3. Let f be 44/10*(-1 - -6). Let h(u) = 4*u**2 + 11*u + 11. Let v be (-1)/(1 - 2)*(-74 - -80). Determine f*g(b) + v*h(b).
2*b**2
Let l(a) = 6*a**2 - 6*a + 6. Let b(w) be the first derivative of -w + 1/2*w**2 - 4 - 1/3*w**3. Give 5*b(s) + l(s).
s**2 - s + 1
Suppose 2*p + 12 - 14 = 0. Let a(w) = 2*w + 3. Let u(j) = -j - 1. Calculate p*a(v) + 4*u(v).
-2*v - 1
Let b(g) = -g - 1. Let h(d) = -2*d**2 | {
"pile_set_name": "DM Mathematics"
} |
8424 is divided by 1465?
69
What is the remainder when 281610 is divided by 170?
90
Calculate the remainder when 2532523 is divided by 25.
23
Calculate the remainder when 140359 is divided by 4825.
434
What is the remainder when 30737761 is divided by 566?
565
Calculate the remainder when 39058359 is divided by 2552.
2551
What is the remainder when 42657 is divided by 1343?
1024
What is the remainder when 354734 is divided by 2534?
2508
Calculate the remainder when 973673 is divided by 784.
729
Calculate the remainder when 1729680 is divided by 216191.
152
Calculate the remainder when 166889664 is divided by 431.
430
Calculate the remainder when 2206742 is divided by 4344.
4334
What is the remainder when 3069326 is divided by 9473?
74
What is the remainder when 31838837 is divided by 6367765?
12
What is the remainder when 1311063 is divided by 168?
159
Calculate the remainder when 148798 is divided by 992.
990
Calculate the remainder when 59648 is divided by 7039.
3336
Calculate the remainder when 2728557 is divided by 120.
117
Calculate the remainder when 5239471 is divided by 2294.
2269
What is the remainder when 4041158 is divided by 3454?
3432
Calculate the remainder when 13670635 is divided by 13670627.
8
What is the remainder when 734164353 is divided by 1078?
1077
What is the remainder when 2235169 is divided by 14326?
313
Calculate the remainder when 1532851 is divided by 826.
621
Calculate the remainder when 24235904 is divided by 252457.
32
Calculate the remainder when 4256807 is divided by 82.
23
What is the remainder when 156453 is divided by 111?
54
What is the remainder when 4039107 is divided by 11?
6
What is the remainder when 4718469 is divided by 277550?
119
Calculate the remainder when 438133 is divided by 21.
10
Calculate the remainder when 775617 is divided by 618.
27
Calculate the remainder when 5429957 is divided by 7469.
7463
Calculate the remainder when 3095972 is divided by 387.
359
What is the remainder when 30850 is divided by 3845?
90
What is the remainder when 61250 is divided by 30307?
636
Calculate the remainder when 13624568 is divided by 3031.
223
What is the remainder when 42385368 is divided by 44?
36
Calculate the remainder when 1601633 is divided by 818.
807
Calculate the remainder when 30971645 is divided by 73219.
8
Calculate the remainder when 233605 is divided by 17964.
73
Calculate the remainder when 26887245 is divided by 29.
11
What is the remainder when 255471 is divided by 24?
15
Calculate the remainder when 46421 is divided by 38550.
7871
Calculate the remainder when 5875190 is divided by 3264.
3254
What is the remainder when 650424 is divided by 12507?
60
What is the remainder when 2536163 is divided by 195?
188
Calculate the remainder when 2885618 is divided by 3313.
3308
Calculate the remainder when 2318609 is divided by 32.
17
What is the remainder when 3797170 is divided by 115065?
25
Calculate the remainder when 58810 is divided by 1337.
1319
Calculate the remainder when 11126453 is divided by 118.
115
What is the remainder when 105760 is divided by 2237?
621
What is the remainder when 17610073 is divided by 886?
823
What is the remainder when 2698105 is divided by 173?
170
What is the remainder when 21248 is divided by 507?
461
What is the remainder when 81412 is divided by 40080?
1252
Calculate the remainder when 1021611 is divided by 24.
3
Calculate the remainder when 11422 is divided by 10582.
840
What is the remainder when 2179283 is divided by 1850?
1833
What is the remainder when 3770798 is divided by 942698?
6
Calculate the remainder when 1876736 is divided by 16607.
145
What is the remainder when 175340 is divided by 327?
68
Calculate the remainder when 20355711 is divided by 108275.
11
Calculate the remainder when 435664 is divided by 29.
26
Calculate the remainder when 2043092 is divided by 75670.
2
Calculate the remainder when 67448 is divided by 65878.
1570
Calculate the remainder when 334858 is divided by 11536.
314
What is the remainder when 18284 is divided by 6033?
185
Calculate the remainder when 416942 is divided by 680.
102
Calculate the remainder when 16256578 is divided by 6.
4
Calculate the remainder when 217163 is divided by 71310.
3233
What is the remainder when 491435 is divided by 3004?
1783
What is the remainder when 8497937 is divided by 33?
8
What is the remainder when 561322541 is divided by 184?
181
What is the remainder when 24140863 is divided by 160?
63
What is the remainder when 164716346 is divided by 1689?
1688
What is the remainder when 53247 is divided by 1524?
1431
What is the remainder when 63730 is divided by 5242?
826
Calculate the remainder when 1862 is divided by 1618.
244
Calculate the remainder when 31180970 is divided by 109.
103
What is the remainder when 12245752 is divided by 30?
22
What is the remainder when 347544 is divided by 808?
104
Calculate the remainder when 14570319 is divided by 1575.
1569
Calculate the remainder when 75383946 is divided by 2566.
2564
What is the remainder when 560630 is divided by 272?
38
Calculate the remainder when 9593440 is divided by 1582.
192
What is the remainder when 231568 is divided by 231556?
12
What is the remainder when 540561 is divided by 585?
21
Calculate the remainder when 77309 is divided by 583.
353
Calculate the remainder when 118081 is divided by 1177.
381
What is the remainder when 102515 is divided by 1711?
1566
What is the remainder when 1444166 is divided by 1445?
611
What is the remainder when 2646557 is divided by 507?
17
Calculate the remainder when 7539001 is divided by 64.
57
Calculate the remainder when 731359 is divided by 243783.
10
Calculate the remainder when 90820758 is divided by 20.
18
What is the remainder when 1779999 is divided by 45639?
78
What is the remainder when 3574332 is divided by 170192?
300
What is the remainder when 18990452 is divided by 65?
52
What is the remainder when 1464325 is divided by 1464324?
1
What is the remainder when 333080 is divided by 4013?
1
What is the remainder when 249246 is divided by 887?
886
Calculate the remainder when 653797 is divided by 99.
1
Calculate the remainder when 7541511610 is divided by 331.
328
What is the remainder when 433840 is divided by 1298?
308
Calculate the remainder when 7806001 is divided by 72.
49
What is the remainder when 12786984 is divided by 6393453?
78
What is the remainder when 163933 is divided by 1588?
369
What is the remainder when 183248 is divided by 213?
68
What is the remainder when 2651987 is divided by 155998?
21
What is the remainder when 3759728 is divided by 130?
128
What is the remainder when 2272398 is divided by 11?
7
Calculate the remainder when 279509 is divided by 1816.
1661
What is the remainder when 7997947 is divided by 801?
763
Calculate the remainder when 36429 is divided by 2208.
1101
Calculate the remainder when 14387 is divided by 116.
3
Calculate the remainder when 15772 is divided by 15581.
191
What is the remainder when 845346 is divided by 254?
34
Calculate the remainder when 67210718 is divided by 14.
8
What is the remainder when 284758 is divided by 34?
8
What is the remainder when 527429948 is divided by 15?
8
What is the remainder when 77080 is divided by 19173?
388
What is the remainder when 621219 is divided by 58?
39
Calculate the remainder when 147902 is divided by 73950.
2
Calculate the remainder when 1603213 is divided by 14442.
151
What is the remainder when 37758 is divided by 37563?
195
What is the remainder when 1310674 is divided by 1771?
134
What is the remainder when 68680244 is divided by 182?
178
Calculate the remainder when 1725660 is divided by 33180.
300
What is the remainder when 8642884 is divided by 233591?
17
Calculate the remainder when 313366 is divided by 3369.
49
Calculate the remainder when 30195 is divided by 7124.
1699
Calculate the remainder when 9194175 is divided by 326.
323
Calculate the remainder when 117080 is divided by 4553.
3255
What is the remainder when 615295 is divided by 205089?
28
Calculate the remainder when 134513018 is divided by 603.
602
Calculate the remainder when 69463773 is divided by 6304.
6301
What is the remainder when 10304243 is divided by 708?
11
What is the remainder when 3055062 is divided by 572?
10
Calcula | {
"pile_set_name": "DM Mathematics"
} |
320) + 3)**2 - sqrt(5)) - sqrt(140)/(-3*sqrt(448)).
661*sqrt(5)/12 + 331
Simplify -4*(((sqrt(2299) - sqrt(2299)*-1) + sqrt(2299))*-5 + sqrt(2299) + 4 - (-2 + 5*(0 + sqrt(2299)))).
-24 + 836*sqrt(19)
Simplify -1 + 1*(-4*(sqrt(1100)*-3 - sqrt(1100))**2 + sqrt(1100) + (sqrt(1100) - -3*(-2 + sqrt(1100)))**2) + 1.
-52764 - 470*sqrt(11)
Simplify (2 + (-1 + 3*((sqrt(448) + 1 - sqrt(448) - sqrt(448))*-4 - 1*sqrt(448)*4))**2)*4.
684
Simplify ((-1*sqrt(110) + sqrt(110))*1*-6*-3)/((sqrt(640) - -1*sqrt(640))*6 + sqrt(640)).
0
Simplify (-4 + 4 + (-3*sqrt(3872))**2 + -1 + -1)*-1.
-34846
Simplify (5*-2*sqrt(375) - -1*sqrt(375)*-2)/(2*sqrt(300) + sqrt(147)*4).
-5*sqrt(5)/4
Simplify (-5*1*(sqrt(133) - (sqrt(133) - (sqrt(133) - sqrt(133)*-2)))*-3)/(sqrt(5103) - (3*(sqrt(5103) + -1*sqrt(5103) + sqrt(5103)) + sqrt(5103))).
-5*sqrt(19)/9
Simplify (sqrt(972)*-2 - sqrt(972))/((sqrt(9) + sqrt(54)/sqrt(6))*1) + ((-2*sqrt(192))/sqrt(8))/(sqrt(800)*-2 + sqrt(800) + sqrt(800) + sqrt(800)).
-46*sqrt(3)/5
Simplify (((sqrt(3744) - (sqrt(3744) - sqrt(3744)*1) - sqrt(3744)) + 2*sqrt(1664))*-4)/(-2*(2*((sqrt(288) - -2*sqrt(288)) + sqrt(288)) + sqrt(288))).
8*sqrt(13)/27
Simplify -5 + (sqrt(57) + (sqrt(171)*2)/sqrt(3) + sqrt(1425) + 2*sqrt(1425))/((sqrt(192) + (sqrt(192) - ((1*sqrt(192) - sqrt(192)) + sqrt(192))))*4).
-5 + 9*sqrt(19)/16
Simplify -3*((sqrt(2304) - 2*sqrt(2304)) + 6*(sqrt(16) + sqrt(16) + sqrt(144)))/(sqrt(64)/(sqrt(64)/(sqrt(8) + sqrt(72)))).
-27*sqrt(2)/2
Simplify (-4 + (2 + (sqrt(405) + (-1 + sqrt(405) - sqrt(405) - sqrt(405)) + -1 - sqrt(405)) + -5*(sqrt(405) + 1 + sqrt(405)) - 1*-1*sqrt(405)*-6*6))**2.
7614*sqrt(5) + 894726
Simplify 2*((-4*(sqrt(272) - 3*sqrt(272)*3) - ((sqrt(272) + -1*sqrt(272))*4 + 4)) + 1)**2.
-1536*sqrt(17) + 557074
Simplify (sqrt(468)*2 + sqrt(468) + -3 + sqrt(468))**2 + (sqrt(468) + 4 + -1 + sqrt(468))**2 + sqrt(468) - ((3 + -2 + 0 + sqrt(468) + sqrt(468))**2 + 4).
-90*sqrt(13) + 7501
Simplify (-4*sqrt(84)*-2*6)/(2*2*sqrt(7623)).
8*sqrt(3)/11
Simplify (4*(sqrt(77) + (sqrt(77) - 1*sqrt(77))) + -4*(sqrt(77)*-2 + sqrt(77) + sqrt(77) + sqrt(77)))/(sqrt(55)/(sqrt(5)*-2) - sqrt(66)/(sqrt(6)*1 + sqrt(6))).
0
Simplify ((sqrt(486)*1)/((sqrt(27)/sqrt(3))/sqrt(3)) - ((sqrt(72)*-3)/sqrt(4) + sqrt(18)*2 + 5))**2 + 2.
-120*sqrt(2) + 315
Simplify -5*(sqrt(2) + -6*sqrt(2)*6 + -1) + (sqrt(2) - sqrt(576)/sqrt(2) - (sqrt(10)/sqrt(5) + -3)).
8 + 163*sqrt(2)
Simplify 4*((sqrt(228)*1*5)/((sqrt(12) + sqrt(300))*-2) - 2*sqrt(171)*-1*2)**2.
367099/36
Simplify ((1*(sqrt(170) - -2*sqrt(170))*-4*-2)/((sqrt(120)/sqrt(3)*-3)/(-3*sqrt(36))))**2.
88128
Simplify -5*((sqrt(132) + (sqrt(132)*-2 + sqrt(132))*4)*-1)/((sqrt(1728) + -3*sqrt(1728) + sqrt(1728))*-1)*-2.
5*sqrt(11)/2
Simplify ((1*sqrt(108)/(sqrt(1728) - -2*sqrt(1728)))/((sqrt(147) - -1*-1*sqrt(147)) + sqrt(147) + (2*sqrt(147)*-2 - sqrt(147))))**2.
1/338688
Simplify (3 + sqrt(245) + 1 + sqrt(245) + 2 + 2 - (3*sqrt(35)*-4)/(sqrt(7) - sqrt(1575)))**2.
1472*sqrt(5)/7 + 45456/49
Simplify (5*-6*1*sqrt(20)*-6)/(sqrt(10) - 3*sqrt(1210) - sqrt(640)/sqrt(4)).
-5*sqrt(2)
Simplify (((sqrt(468) - sqrt(468)*2)*-6)/(2*sqrt(108)))/(sqrt(3) + sqrt(6)/(sqrt(2)*-2) - -3*(sqrt(3) - sqrt(3)*3)).
-2*sqrt(13)/11
Simplify ((-2*sqrt(99)*4 - sqrt(99))/((sqrt(18)*-2)/sqrt(6)))/((sqrt(88)*3 + sqrt(22))/(sqrt(2) - sqrt(24)/sqrt(192))).
27*sqrt(3)/56
Simplify (sqrt(972)*6*2 + (sqrt(75) - -2*sqrt(75)) + -5 + sqrt(75) + 2*(-2 + sqrt(75)) + -4)**2.
-6396*sqrt(3) + 181717
Simplify ((-2*sqrt(192)*2)/(sqrt(108)/(sqrt(9) - 1*sqrt(9) - sqrt(9))))/(2*sqrt(288)*1 - (sqrt(288) + 2*sqrt(288))*-3).
2*sqrt(2)/33
Simplify ((5*sqrt(448)*-1 + (sqrt(448) - sqrt(448)*1) + -3 + -2)*2 + 2)**2*5.
6400*sqrt(7) + 224320
Simplify ((-1 + (4*((sqrt(432) - (2*sqrt(432) - sqrt(432))) + -5) + 2 + -3)*-2)*-5)**2.
42025
Simplify (-4*sqrt(150)/((-3*sqrt(120))/sqrt(12)))/((sqrt(30) - (sqrt(3000)*1 - sqrt(3000)))/(sqrt(6) + sqrt(6)*1*-6)).
-20*sqrt(3)/3
Simplify (-2 + 4*(2 + sqrt(98)))**2 - -5*-1*(-2 + sqrt(98) + sqrt(98)).
266*sqrt(2) + 1614
Simplify (sqrt(114) - -1*(sqrt(114) - 1*sqrt(114)))/(sqrt(6) - sqrt(6)*1*2) + (sqrt(171) + (sqrt(171) + -1 - sqrt(171)) + 4 + 3)**2 + -5.
35*sqrt(19) + 202
Simplify -3*(2*sqrt(384) + sqrt(384))/sqrt(12)*-3 - (0 + sqrt(72) + -2 + (sqrt(72)*-1*3)**2)*5.
-3230 + 78*sqrt(2)
Simplify (4*((-1*sqrt(22))/sqrt(2) + sqrt(77)/(sqrt(7)*2)))**2 - (sqrt(275) + (-2 + sqrt(275))**2 + 3 + 1).
-239 + 15*sqrt(11)
Simplify (1 + sqrt(24)/((sqrt(54)/sqrt(2))/sqrt(9)) - ((0 + sqrt(1152))*-5 - (sqrt(1152) + sqrt(1152)*1*-5))**2) + -2.
-1153 + 2*sqrt(2)
Simplify (2 + -5 + (4*sqrt(56)/sqrt(7) - -3*(-4 + sqrt(2))*2))*4.
-108 + 56*sqrt(2)
Simplify ((-4*1*sqrt(252))/(1*sqrt(36)))/(-1*(sqrt(81) - sqrt(9)) - sqrt(9)*2*1).
sqrt(7)/3
Simplify -1 + ((0 + sqrt(68) + -1 + -5 + 1*(sqrt(68) + -5*(sqrt(68) + sqrt(68) + (0 + sqrt(68) - sqrt(68)) + sqrt(68))))*-3 + 2)**2.
3120*sqrt(17) + 103827
Simplify -1*((-1*2*(sqrt(1300) + 2 - sqrt(1300)) + sqrt(1300) + 1 + sqrt(1300) + 2 + 2)**2 + -4).
-5197 - 40*sqrt(13)
Simplify -3 + ((0 + sqrt(1620))*-4 - (sqrt(245)*2)**2*-4*-5).
-19603 - 72*sqrt(5)
Simplify 3 + (-2 + (sqrt(539) + -2 - (-1 + sqrt(396)) - ((sqrt(11) - sqrt(44)/(sqrt(20)/sqrt(5))) + -3))**2)*-5.
-20*sqrt(11) - 62
Simplify ((sqrt(96)*-2 - sqrt(96))*-1 - (sqrt(96)*2*-2 - sqrt(96)))/((-3*sqrt(72) - sqrt(72))/sqrt(6) - (sqrt(12) - sqrt(1452)*2)).
16*sqrt(2)/17
Simplify 6*((sqrt(130) + ((sqrt(130) - (sqrt(130)*5 + sqrt(130)) - sqrt(130)) + sqrt(130))*4)/((sqrt(120)*-2)/sqrt(12) - sqrt(10)) + -4)*5.
-120 + 190*sqrt(13)
Simplify 1*2*(sqrt(3) - sqrt(27)/(sqrt(9)*-5))**2 + 2 + (sqrt(3) - (sqrt(3) + 1)) + 4 + -4.
241/25
Simplify (sqrt(931) + sqrt(931)*-4)**2*-2 + ((sqrt(931)*1 - sqrt(931)) + 2 - sqrt(931)) - -1*(1 + 1*sqrt(931))*4.
-16752 + 21*sqrt(19)
Simplify (sqrt(1008) + 2 + sqrt(1008) - sqrt(77)/(sqrt(11) + sqrt(66)/sqrt(6))) + 0 + -4 + (3*-2*sqrt(700) - sqrt(700)) + 3.
-93*sqrt(7)/2 + 1
Simplify -2*(((sqrt(450)*-2)/sqrt(9) + sqrt(50))/sqrt(405))/(sqrt(5) - (sqrt(125) - sqrt(5))*-1 - sqrt(35)/sqrt(7)*4).
2*sqrt(2)/9
Simplify ((-2 + sqrt(1053))*-1 - (sqrt(1053) + sqrt(1053)*-1*2)) + -2 + (1 + sqrt(1053) + -5 - (-4 + -2 + sqrt(1053))**2).
-1093 + 117*sqrt(13)
Simplify 0 + -1*((-4*(sqrt(11) - sqrt(88)/(sqrt(32)/sqrt(4)))*6 - 5*(sqrt(1331) + -1 + -1*sqrt(1331) + sqrt(1331))) + 4).
-9 + 55*sqrt(11)
Simplify (3*sqrt(1200) + 2 + sqrt(1200) + 2 - (1*sqrt(1200) + sqrt(1200) + -4)*1)**2 + -3.
640*sqrt(3) + 4861
Simplify (-4 + 4*1*(-5 + 2*(0 + sqrt(99) + 1))*3)**2.
-5760*sqrt(11) + 58624
Simplify -2*(2*(sqrt(156) - 3*sqrt(156)) - (sqrt(156) + 2*sqrt(156))*-4)/(((-2*sqrt(84) + sqrt(84) - sqrt(84))*-1)/((sqrt(126) - sqrt(14))/sqrt(2))).
-16*sqrt(13)
Simplify -5*3*(sqrt(1617)*-5*2)/((sqrt(1584) + -4*sqrt(1584))/sqrt(4)).
-175*sqrt(3)/3
Simplify -1 + (2*-2*2*sqrt(66))/(sqrt(6) + sqrt(486)*-1 - (sqrt(108)/sqrt(3))/sqrt(6)).
-1 + 8*sqrt(11)/9
Simplify (((sqrt(24) + sqrt(384))*-4 - (1*sqrt(96) - sqrt(96) - sqrt(96)))*-1)/(sqrt(288)*-2 - sqrt(8)*1*-1).
-18*sqrt(3)/11
Simplify (sqrt(33) - sqrt(132)/sqrt(4)*5 - (sqrt(33) + -6*-2*sqrt(33)))/((-2*sqrt(18)*-1)/sqrt(6))*-5.
85*sqrt(11)/2
Simplify ((sqrt(20)*4 + sqrt(20) + sqrt(20))*3)/(-5*(sqrt(80)/sqrt(8) + sqrt(10))) + ((sqrt(84)/(sqrt(14)/sqrt(2)) - sqrt(12))/sqrt(6)*2 + 1)**2.
-9*sqrt(2)/5 + 1
Simplify (-6*sqrt(119)/(sqrt(28)/sqrt(4)*6) + (3 + 1*(2 + sqrt(272)))**2)*-2.
-594 - 78*sqrt(17)
Simplify (-3 + 1 + sqrt(304) + sqrt(304) + 0 + -3 + sqrt(304) + (sqrt(304) + sqrt(304)*-4)*-2 + 6*(sqrt(304) + 0) + sqrt(304))**2.
-640*sqrt(19) + 77849
Simplify (4*(-4 + ((0 + sqrt(272))*4 - sqrt(272)) + -1 + sqrt(272) + sqrt(272) + -1 + (sqrt(272) + sqrt(272) + 2 + (sqrt(272)*-1 - sqrt(272)))*4) + 1)**2.
1440*sqrt(17) + 108881
Simplify (5 + ((-1 + sqrt(847))*-2 - ((1 + sqrt(847))*4)**2) - (5 + (sqrt(847)*1*5*-3)**2)) + 3.
-204138 - 374*sqrt(7)
Simplify (6*(-6*(-3 + sqrt(88)/sqrt(8)) + 4 + -2*(-5 + 3*sqrt(44)/sqrt(4))))**2.
-27648*sqrt(11) + 93888
Simplify -4 + ((sqrt(704)*2 - sqrt(704))*3 + 5 - -6*(sqrt(704) + -1)*4)**2 + -3 + 4.
-8208*sqrt(11) + 513574
Simplify 5 + (2 + sqrt(448) + 2 + 3 - (4 + sqrt(35)/(sqrt(5) + sqrt(605) + 3*sqrt(605)))) + -5.
3 + 359*sqrt(7)/45
Simplify (3*sqrt(54)*-6*2)/((sqrt(144)/sqrt(225))/((sqrt(512)*3 - sqrt(512)) + sqrt(8))). | {
"pile_set_name": "DM Mathematics"
} |
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