text stringlengths 270 8.19k | meta dict |
|---|---|
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-1000000
What is 7.3261 rounded to two dps?
7.33
Round 299900 to the nearest one hundred thousand.
300000
What is 8.3187 rounded to the nearest integer?
8
Round 0.0000423792 to 6 dps.
0.000042
What is 0.000009092 rounded to 6 dps?
0.000009
What is -908000 rounded to the nearest one hundred thousand?
-900000
Round 0.00253 to three decimal places.
0.003
What is -6920500 rounded to the nearest one hundred thousand?
-6900000
Round -0.068509 to 3 dps.
-0.069
Round -71.02 to 0 decimal places.
-71
Round -12080000 to the nearest one million.
-12000000
What is -37470000 rounded to the nearest one million?
-37000000
Round 10730 to the nearest 10000.
10000
Round 0.6412 to one dp.
0.6
Round 561.48 to 0 decimal places.
561
Round 843200 to the nearest one hundred thousand.
800000
Round 304.7 to the nearest one thousand.
0
What is -0.5031 rounded to 1 dp?
-0.5
What is 15271 rounded to the nearest one thousand?
15000
Round -4.7957 to zero decimal places.
-5
Round 0.07028 to 3 dps.
0.07
Round 0.002708 to 3 dps.
0.003
What is -0.000002399 rounded to 7 dps?
-0.0000024
What is 212.07 rounded to zero dps?
212
What is -0.01493 rounded to three dps?
-0.015
What is -0.02342 rounded to 4 dps?
-0.0234
What is 1080700 rounded to the nearest 100000?
1100000
What is -0.882 rounded to 1 dp?
-0.9
Round -0.003388 to 3 decimal places.
-0.003
What is 2446000 rounded to the nearest one hundred thousand?
2400000
What is -25.93 rounded to the nearest one hundred?
0
What is 0.00116453 rounded to five decimal places?
0.00116
Round -620.522 to zero dps.
-621
Round 0.0000056345 to seven dps.
0.0000056
What is 631.4 rounded to the nearest 100?
600
Round 47.496 to the nearest integer.
47
What is 2.4059 rounded to zero decimal places?
2
Round 1967.8 to the nearest 10.
1970
What is 0.052708 rounded to 2 dps?
0.05
What is -80.3 rounded to the nearest ten?
-80
What is -8265 rounded to the nearest one thousand?
-8000
What is -50130000 rounded to the nearest 1000000?
-50000000
What is -13930 rounded to the nearest one thousand?
-14000
What is 65640000 rounded to the nearest one million?
66000000
Round 209.8 to the nearest 10.
210
Round 33.5879 to 1 decimal place.
33.6
Round -9342 to the nearest 100.
-9300
What is 0.0415 rounded to two dps?
0.04
Round 0.4 to zero decimal places.
0
What is 3.324 rounded to the nearest integer?
3
What is 3.0599 rounded to one dp?
3.1
What is 202030 rounded to the nearest 1000?
202000
What is 50249100 rounded to the nearest 1000000?
50000000
What is -0.009593 rounded to 4 dps?
-0.0096
What is 0.11428 rounded to 2 dps?
0.11
Round 0.00002944 to 5 decimal places.
0.00003
Round -195.9 to the nearest ten.
-200
Round 28540 to the nearest one thousand.
29000
Round 179960 to the nearest 1000.
180000
What is -0.00086713 rounded to 5 dps?
-0.00087
Round -903.8 to the nearest 10.
-900
What is -0.00001551 rounded to seven decimal places?
-0.0000155
What is 534930 rounded to the nearest one hundred thousand?
500000
What is 0.5494 rounded to two decimal places?
0.55
Round -3.44 to the nearest integer.
-3
Round -0.001342 to five decimal places.
-0.00134
Round 0.0227 to two dps.
0.02
What is 0.0000161 rounded to six dps?
0.000016
What is 3930 rounded to the nearest one thousand?
4000
What is -314200 rounded to the nearest 1000000?
0
What is 2199000 rounded to the nearest one million?
2000000
Round 4.8 to the nearest 100.
0
Round 1864840 to the nearest 100000.
1900000
Round -0.0045886 to three decimal places.
-0.005
What is 0.0000001868 rounded to seven dps?
0.0000002
Round 0.000008962 to 7 decimal places.
0.000009
Round 0.000914 to 5 dps.
0.00091
What is -6062 rounded to the nearest 1000?
-6000
Round -0.0000041595 to 6 decimal places.
-0.000004
What is 183.567 rounded to zero decimal places?
184
Round 4948900 to the nearest 1000000.
5000000
What is -39.776 rounded to the nearest ten?
-40
Round 0.0001747 to four dps.
0.0002
What is 385.227 rounded to zero decimal places?
385
What is 0.114718 rounded to two decimal places?
0.11
Round -0.00004524 to six dps.
-0.000045
Round 0.046519 to 2 dps.
0.05
What is -0.0000107609 rounded to 7 dps?
-0.0000108
What is 173.71 rounded to the nearest 10?
170
What is 253500 rounded to the nearest ten thousand?
250000
What is -0.000064029 rounded to 5 decimal places?
-0.00006
What is 62.648 rounded to 1 decimal place?
62.6
Round 14030 to the nearest ten thousand.
10000
What is -604.1 rounded to the nearest one thousand?
-1000
What is 30148 rounded to the nearest 10000?
30000
What is 0.0000002542 rounded to 7 dps?
0.0000003
Round -51853 to the nearest one thousand.
-52000
Round 0.00349 to 4 dps.
0.0035
What is 0.00081575 rounded to four dps?
0.0008
What is -0.0000144 rounded to six dps?
-0.000014
Round -0.00097449 to five decimal places.
-0.00097
Round -1.2808 to two decimal places.
-1.28
What is -0.000000418 rounded to 7 decimal places?
-0.0000004
What is -0.71652 rounded to 2 dps?
-0.72
What is -0.81356 rounded to two decimal places?
-0.81
What is 0.00000045993 rounded to seven decimal places?
0.0000005
What is -4314000 rounded to the nearest one million?
-4000000
Round -0.000015962 to 7 dps.
-0.000016
Round 33604 to the nearest one hundred.
33600
What is -1377900 rounded to the nearest one million?
-1000000
Round -57859 to the nearest one hundred.
-57900
Round -0.000006836 to seven decimal places.
-0.0000068
Round 0.0014356 to four decimal places.
0.0014
Round 944000 to the nearest ten thousand.
940000
Round -272.51 to the nearest 10.
-270
What is -444000 rounded to the nearest one million?
0
Round -100.6 to the nearest ten.
-100
Round 10110 to the nearest one thousand.
10000
Round -7149 to the nearest one thousand.
-7000
What is -0.03427 rounded to 4 dps?
-0.0343
What is 674300 rounded to the nearest 10000?
670000
Round -0.00000891 to seven dps.
-0.0000089
Round 0.0141 to two dps.
0.01
Round 0.0017369 to 5 decimal places.
0.00174
What is -3237000 rounded to the nearest 1000000?
-3000000
Round -4126.3 to the nearest 1000.
-4000
What is -0.0001828 rounded to four dps?
-0.0002
What is 60856 rounded to the nearest 10000?
60000
What is 1376.39 rounded to the nearest ten?
1380
Round 88750 to the nearest 10000.
90000
Round 19083000 to the nearest one hundred thousand.
19100000
What is 2578.8 rounded to the nearest 10?
2580
Round 0.0000884 to 6 dps.
0.000088
Round -2010000 to the nearest one million.
-2000000
What is -839300000 rounded to the nearest one million?
-839000000
Round -0.00928 to four dps.
-0.0093
Round 0.0001129 to 6 decimal places.
0.000113
Round 0.253192 to three decimal places.
0.253
Round -0.00000694 to seven dps.
-0.0000069
What is 36.308 rounded to zero dps?
36
What is 10.029 rounded to 1 dp?
10
Round 0.0001315 to 5 decimal places.
0.00013
What is -17850 rounded to the nearest 1000?
-18000
Round -1.8537 to 2 dps.
-1.85
Round 1059.33 to the nearest 10.
1060
What is -238040000 rounded to the nearest one million?
-238000000
Round 0.00000344599 to seven dps.
0.0000034
What is -0.000170883 rounded to five dps?
-0.00017
What is -0.0694 rounded to 2 dps?
-0.07
What is -0.0000373 rounded to 5 decimal places?
-0.00004
What is 14090 rounded to the nearest 1000?
14000
What is 3.01 rounded to one dp?
3
Round 0.007884 to three decimal places.
0.008
Round 330100 to the nearest 10000.
330000
What is 0.000003893 rounded to 6 dps?
0.000004
What is -555.79 rounded to the nearest integer?
-556
What is 12602 rounded to the nearest one thousand?
13000
Round 652560 to the nearest ten thousand.
650000
What is -0.7681 rounded to one dp?
-0.8
Round 0.000435278 to five dps.
0.00044
Round 116260 to the nearest 10000.
120000
What is -311 rounded to the nearest 100?
-300
What is 6894000 rounded to the nearest one hundred thousand?
6900000
What is -1.4208 rounded to 2 decimal places?
-1.42
Round -18331 to the nearest one thousand.
-18000
What is -0.0000026215 rounded to seven decimal places?
-0.0000026
What is -87200 rounded to the nearest 10000?
-90000
What is -1730400 rounded to the nearest ten thousand?
-1730000
What is -21340000 rounded to the nearest one million?
-21000000
What is 1316000 rounded to the nearest 100000?
1300000
What is 681.3 rounded to the nearest 10?
680
What is 127575000 rounded to the nearest one million?
128000000
What is 19.09 roun | {
"pile_set_name": "DM Mathematics"
} |
15 + 4*s**2. What is the third derivative of j(u) wrt u?
6
Let t(b) = 15*b - 32. Let m(x) = x. Let c(o) = -2*m(o) - t(o). Differentiate c(q) wrt q.
-17
Suppose 2 = -4*g + 10. What is the first derivative of -6 + a**2 + 4*a**g + 2 wrt a?
10*a
Let w(y) = -50*y**2 + 20*y. Let s(p) = -49*p**2 + 20*p. Let a(o) = -3*s(o) + 2*w(o). Find the second derivative of a(n) wrt n.
94
Let q(x) be the first derivative of -x**2/2 - 2*x + 2. Let y be q(-4). What is the first derivative of 0*p**3 + y*p**3 + 1 + 0*p**3 wrt p?
6*p**2
Let p(y) be the second derivative of 11*y**7/42 - 53*y**3/6 + 21*y. Find the second derivative of p(w) wrt w.
220*w**3
Let n(u) be the second derivative of -4*u**5/5 - 17*u**2 - 33*u. What is the derivative of n(x) wrt x?
-48*x**2
Let a(w) be the second derivative of 13*w**3/6 - 3*w**2 + 11*w. Differentiate a(x) wrt x.
13
Let d = 3 - 2. Differentiate 4*m + 0*m + 1 + d + 0 wrt m.
4
Find the third derivative of -6*r**3 - 1367*r**4 + 2*r**3 - 22*r**2 + 1359*r**4 wrt r.
-192*r - 24
Let a(n) be the second derivative of -1/6*n**4 + 0*n**5 + 1/56*n**8 + 0*n**2 + 0 + 0*n**6 - 2*n + 0*n**7 + 0*n**3. What is the third derivative of a(w) wrt w?
120*w**3
Find the second derivative of -293 + 12*x + 293 - 15*x**3 wrt x.
-90*x
What is the third derivative of 27*d**3 + 24*d**3 - 51*d**3 + 26*d**2 - 27*d**5 wrt d?
-1620*d**2
Let s(v) = 14*v**3 - 10*v**2 + 5. Let j(q) = 15*q**3 - 10*q**2 + 6. Let a(w) = 5*j(w) - 6*s(w). What is the third derivative of a(k) wrt k?
-54
Let k be 1 - (-2 - -3 - 1). Let z(d) = 4 - 2*d - k - 5*d. Let j(i) = 22*i - 10. Let t(c) = -5*j(c) - 16*z(c). Find the first derivative of t(f) wrt f.
2
Let c = -7 + 12. Suppose 2*t + 5*s - 11 = -t, 0 = -c*t - 2*s + 12. Find the third derivative of -4*n**2 + n**3 + 3*n**t + 3*n**2 wrt n.
6
Let x(w) be the second derivative of -w**3 + 24*w**2 - 38*w. What is the derivative of x(z) wrt z?
-6
Find the second derivative of -5 - 24*w + 61*w + 5 + 33*w**4 wrt w.
396*w**2
Suppose -2*z + 0 = 2. Let k be z*3*(-16)/12. What is the second derivative of -3*f**4 + 2*f**k + 4*f - 5*f wrt f?
-12*f**2
What is the third derivative of -3*z**2 - 25*z - 2*z**2 + 25*z + 18*z**6 wrt z?
2160*z**3
Let i(n) = 2*n**5 - 3*n**4 + 35*n**3 - 3*n**2 - 9*n + 7. Let a(d) = -d**4 - d**2 - d + 1. Let v(r) = 3*a(r) - i(r). What is the second derivative of v(b) wrt b?
-40*b**3 - 210*b
Let h = 7 - 12. Let d = -6 - h. Let l(g) = 1. Let z(o) = 3*o**2 + 2*o + 4. Let n(p) = d*z(p) + 4*l(p). What is the second derivative of n(r) wrt r?
-6
Differentiate -30 + 7*i**4 + 9*i**4 + 59 - 25 wrt i.
64*i**3
Let g(c) be the third derivative of -2*c**9/63 + c**5/12 - 14*c**2. What is the third derivative of g(l) wrt l?
-1920*l**3
Let u = 3 - -1. Suppose -u*v = -v - 6. What is the derivative of 2*d**2 - 5*d**2 + d**v - 2 wrt d?
-4*d
Suppose -2*m + 8 = -k, k - 4*k = 2*m + 8. Let u be (-1 + -6)*k/14. Find the second derivative of -u*t + 0*t - 2*t**5 + t wrt t.
-40*t**3
Find the first derivative of 5*m**4 - 8*m**4 - 3*m**4 + 5 wrt m.
-24*m**3
Let j(c) be the first derivative of -c**7/21 + c**3/3 + 5*c - 2. Let y(d) be the first derivative of j(d). What is the second derivative of y(i) wrt i?
-40*i**3
Let v(l) be the third derivative of 5*l**8/336 + l**4/8 - 7*l**2. Find the second derivative of v(o) wrt o.
100*o**3
Let m(j) be the third derivative of -19*j**9/504 - j**5/10 - 26*j**2. What is the third derivative of m(f) wrt f?
-2280*f**3
Differentiate 10 - 7*z**4 + 15*z**4 - 9*z**4 wrt z.
-4*z**3
Let f(l) be the second derivative of 0*l**2 + 0*l**5 + 0*l**3 + 0 - 1/15*l**6 - 1/4*l**4 + 3*l. What is the third derivative of f(r) wrt r?
-48*r
Let d(z) be the third derivative of -z**5/12 - z**3/3 - 6*z**2. Find the first derivative of d(k) wrt k.
-10*k
Let o(u) be the first derivative of u**8/28 + u**4/4 + 3*u - 1. Let h(b) be the first derivative of o(b). Find the third derivative of h(r) wrt r.
240*r**3
Find the second derivative of 4*d - 35*d**2 + 34*d**2 + 4*d wrt d.
-2
Let w(t) = 15*t**2 + 13*t + 9. Let r = -16 + 23. Let n(a) = -6*a + 0 - r + 3 - 7*a**2 + 0. Let p(u) = -13*n(u) - 6*w(u). Differentiate p(b) with respect to b.
2*b
Let h(g) = 7*g - 6. Let b(q) = -7*q + 5. Let w(l) = -4*b(l) - 3*h(l). Let s(y) = 14*y - 3. Let t(p) = 6*s(p) - 11*w(p). Find the first derivative of t(o) wrt o.
7
Let t(g) = 2*g - 1. Let b be t(3). Differentiate b*p - 4 + p + 4 - 1 wrt p.
6
Suppose -4*h - 2*f - 3*f = -19, -3*h = 4*f - 14. Find the third derivative of -2*v**2 + v**2 + v**6 - v**6 - 2*v**h wrt v.
-240*v**3
Differentiate 24*n**3 + n**3 + 4*n - 19 - 4*n with respect to n.
75*n**2
Find the first derivative of -2 + 0 - 3 + 8 + 13*o**3 wrt o.
39*o**2
Let q(o) be the first derivative of 29*o**3/3 - 9*o**2/2 - 31. What is the second derivative of q(x) wrt x?
58
Let c = 13 - 9. Suppose -c*r + 3*r = -4. Find the third derivative of -3*k**2 + r*k**5 - 3*k**2 + 2*k**2 wrt k.
240*k**2
Let c(l) be the second derivative of -23*l**3/6 - 51*l**2/2 - 9*l. What is the first derivative of c(s) wrt s?
-23
Let m(h) be the third derivative of 13*h**6/120 - h**4/24 + 10*h**2. Find the second derivative of m(c) wrt c.
78*c
Find the third derivative of -15*k**4 + 16*k**4 + 9*k**2 - 2*k**2 wrt k.
24*k
Let j(x) = 2*x**4 - 4*x. Let m(y) = 3*y**2 - 3*y**2 + y**2 - y. Let l(g) = j(g) - 4*m(g). What is the third derivative of l(n) wrt n?
48*n
Let l(q) = q + 8. Let r be l(-5). Suppose -r*n = -0*n - 9. What is the first derivative of m - m + m - n*m + 1 wrt m?
-2
Let t(a) = -54*a**4 + 2*a**3 + 34*a**2 - 2*a - 2. Let r(j) = j**3 - j - 1. Let v(g) = -2*r(g) + t(g). What is the third derivative of v(i) wrt i?
-1296*i
Let x(b) be the first derivative of 0*b**4 + 2/7*b**7 + 0*b**2 + 0*b**6 + 0*b**5 + 5/3*b**3 - 5 + 0*b. What is the third derivative of x(o) wrt o?
240*o**3
Let t be 4*(1 + (-2)/8). What is the derivative of 2*a**2 + 0 - t*a**2 + 1 wrt a?
-2*a
Let a(k) = -5*k**5 + 2*k**4 - 2*k**2 + 3*k. Let w(p) = p**5 + p**4 - p**2 - p. Let u(l) = -2*a(l) + 4*w(l). What is the second derivative of u(i) wrt i?
280*i**3
Find the first derivative of 0 + 0 - 4 - 4 - 20*w**2 wrt w.
-40*w
Let k be 6/9 - (-62)/6. Let b = k + -5. What is the first derivative of 1 - 3*o**4 - b + 2 + 5*o**4 wrt o?
8*o**3
Let b(m) be the second derivative of m**6/120 + m**4/12 + m**3/2 - 3*m. Let c(u) be the second derivative of b(u). Differentiate c(j) with respect to j.
6*j
Let u(p) = 4*p**5 - 4*p**2 + 3. Let y(d) = d**2 - 1. Let h = -12 + 13. Let r(s) = h*u(s) + 3*y(s). Find the third derivative of r(g) wrt g.
240*g**2
Let w(x) be the first derivative of -31*x**2/2 + 15*x + 11. Find the first derivative of w(c) wrt c.
-31
Let n(j) = -26*j**3 + 2*j**2 + 10. Let u(d) = -d**2 + 1. Let o(s) = -n(s) - 2*u(s). Differentiate o(v) with respect to v.
78*v**2
Let a(f) = -f**2. Let w(r) = -8*r**4 - 12*r**2. Let d(y) = 8*a(y) - w(y). Find the third derivative of d(p) wrt p.
192*p
Let v(l) = 49*l**4 - 4*l**3 + 4*l**2 - 34*l + 1. Let b(g) = -g**4 - g**3 + g**2 - g. Let r(u) = 4*b(u) - v(u). Find the second derivative of r(f) wrt f.
-636*f**2
Let a(j) be the second derivative of 0 - 1/4*j**4 + 0*j**5 - 5/42*j**7 + 0*j**6 + 0*j**2 + 0*j**3 + 3*j. What is the third derivative of a(q) wrt q?
-300*q**2
Let b(c) be the first derivative of 2*c**5/5 + c**3/2 - 8*c - 1. Let s(d) be the first derivative of b(d). What is the second derivative of s(x) wrt x?
48*x
Let k(p) be the third derivative of -2*p**7/105 - 4*p**3/3 - 6*p**2. What is the derivative of k(a) wrt a?
-16*a**3
Let x = -2 + 6. Let f = 6 - x. What is the third derivative of -m**5 + 4*m**2 - m**2 - 4*m**f wrt m?
-60*m**2
Let c(m) = -19*m**2 - 14*m. Let l(t) = 20*t**2 + 14*t. Let w(g) = 5*c(g) + 4*l(g). What is the second derivative of w(h) wrt h?
-30
Let a(q) = q + 2. Let y(o) = -18*o**2 - 57*o - 2. Let p(n) = -a(n) - y(n). What is the second derivative of p(x) wrt x?
36
Let m(d) = -31*d**3 + 11*d**2 + d - 11. Let q(p) = 6*p**3 - 2*p**2 + 2. Let i(s) = -2*m(s) - 11*q(s). What is the second derivative of i(t) wrt t?
-24*t
Suppose -4*u + 26 = -6. Let m(p) = p - 5. Let a be m(u). Find the second derivative of a*w**3 + 2*w - w**3 + w**3 wrt w.
18*w
Find the first derivative of -19 - 5 - 6*s**3 - 2 + 36*s**3 wrt s.
90*s**2
Suppose -2*w = -3*w, w = -4*u + 8. What is the third derivat | {
"pile_set_name": "DM Mathematics"
} |
e prime factors of d(v)?
13
Let x be 6/((-1)/((-141)/(-6))). Let i = -87 - x. List the prime factors of (2/3)/(4/i).
3
Let z = 2 - 3. Let v(u) = u**2 - 9*u - 2. Let m be v(10). Let q = z + m. List the prime factors of q.
7
Let l(i) = i + 2. Let y be l(-2). Suppose y = 2*j - 6*j + 72. What are the prime factors of 5*j/(-10)*-2?
2, 3
Let l(g) = g**3 - 9*g**2 - 8*g + 3. Let p(s) = s**3 - 9*s**2 - 8*s + 4. Let y(a) = 4*l(a) - 3*p(a). List the prime factors of y(10).
2, 5
Let m(k) = k**3 - 2*k**2 - 21*k + 3. What are the prime factors of m(6)?
3, 7
List the prime factors of 120 + 7 - (1 + -1).
127
Let b = 2 - 4. Let z(o) = -7*o - 1. What are the prime factors of z(b)?
13
Let j(m) = -2*m**3 - 3*m**2 + 3*m - 4. List the prime factors of j(-3).
2, 7
Suppose 2*f = -0*f + 4*a + 46, 4*f - 3*a = 107. What are the prime factors of f?
29
Let q be (-2)/(12/(-39))*2. Let n = -3 + q. List the prime factors of n.
2, 5
Suppose -h - 1 = 8. Let t = h - -14. Suppose t*c - c = 24. List the prime factors of c.
2, 3
Let n(x) = x**3 - 14*x**2 - 8*x - 21. List the prime factors of n(15).
2, 3, 7
Suppose -380 = 51*o - 55*o. List the prime factors of o.
5, 19
Suppose 3*a + 2*j - 5 = 12, -2*a = -2*j - 28. What are the prime factors of 0 + (a - (1 - 3))?
11
Let z = 70 + 28. What are the prime factors of z?
2, 7
Let k(b) = b**2 - 6*b + 2. Let d be k(6). Let y be 1/3 - d/6. Suppose y = h + 2*h - 15. What are the prime factors of h?
5
Let n = 162 - 25. List the prime factors of n.
137
Let v(p) = -p**2 + 14*p - 7. Let u be v(9). Let y be 1/3 - u/6. List the prime factors of 2/(-6) + (-56)/y.
3
Let j(m) = -m**3 - 5*m**2 - 3*m + 3. Let l be j(-4). Let i = l + 2. Let f(y) = 12*y**3 - y**2. What are the prime factors of f(i)?
11
Let u(f) = f**3 - 5*f**2 + 3*f - 6. Let b be u(5). Suppose -3*r = -6*r + b. Suppose 0 = r*m + 2*m - 50. List the prime factors of m.
2, 5
Suppose 7*g = 5*g + 92. List the prime factors of g.
2, 23
Let d = -423 - -769. What are the prime factors of d?
2, 173
Let i(v) = v + 10. Let a be i(-5). Suppose -4*q = 3*d - 74, -157 + 25 = -a*d + 2*q. Suppose 4*z - d = -6. List the prime factors of z.
5
Let v = -46 + 118. Let m = -51 + v. Let r = -11 + m. List the prime factors of r.
2, 5
Suppose 100 = -11*o + 6*o. Let b = -1 - o. What are the prime factors of b?
19
Suppose 13 = 2*p + 1. Suppose 100 = -2*t + p*t. List the prime factors of t.
5
What are the prime factors of 82/12 - (-16)/96?
7
Let q(y) = 7*y - 3. Let u(j) = -3*j + 6 - 6 + 4*j. Let n be u(3). What are the prime factors of q(n)?
2, 3
Suppose -3 + 12 = -3*n. Let v(y) = -y - 3. Let l be v(-4). What are the prime factors of (1 + l)/(n/(-6))?
2
Suppose -m - 1 = -0. List the prime factors of (7 + (m - -2))*2.
2
Let v be 2 - (1 + (-2 - -1)). Let m be (2/(-5))/(v/(-10)). Let g(i) = i**3 - i**2 + 2*i - 1. What are the prime factors of g(m)?
7
Suppose -3*o + 5*o = 4. Suppose 0 = 3*j + r - 3, o*j + j + 4*r = 12. Suppose j = -5*s + 52 - 17. List the prime factors of s.
7
Let q(y) = 2*y**2 + 3*y - 1. What are the prime factors of q(4)?
43
Suppose -8*i + 25 = -3*i. Suppose -5*d = i + 10. What are the prime factors of -3 - (-18 - d - 0)?
2, 3
Let w be 7 - (5 - 2) - 0. Suppose -4*i + 3*a + w = -35, -i - a + 15 = 0. What are the prime factors of i?
2, 3
Suppose -b = 2*b - 75. Suppose 2*h - b = h. List the prime factors of h.
5
Let l be 2/(-2 - -4) - -2. Suppose -37 = -l*h + t, -t - 35 = -4*h + 14. Let r = -4 + h. List the prime factors of r.
2
Let w(k) = k**3 + 4*k**2 + 4*k - 1. Let m be w(-3). What are the prime factors of 16/m*38/(-8)?
19
Let u = -26 + 44. Let b(d) = -11*d**3 - 2*d**2 - d. Let x be b(-1). Let c = u - x. List the prime factors of c.
2
Let a = 69 - 31. Let v(z) = 4*z + 3. Let f be v(-7). Let m = f + a. List the prime factors of m.
13
Let t(i) be the first derivative of -i**7/840 + i**5/120 + i**4/12 + 2*i**3/3 - 4. Let s(o) be the third derivative of t(o). List the prime factors of s(0).
2
Let v = -81 - -152. List the prime factors of v.
71
Let w be 4*(-1)/(-4)*35. Suppose 3*i - w = -2*i. List the prime factors of i.
7
Let q = 5 + -10. Let h = -2 - q. List the prime factors of h.
3
Let h = 3 + 2. Suppose 5*u - 5*b = 235, 3*u - 13 = h*b + 136. What are the prime factors of u?
43
Suppose 10 = 3*u - 2. Let q be (-14)/(-8) - (-1)/u. Suppose q*p + 3*r - 74 = -3*p, 0 = 3*p - 3*r - 30. List the prime factors of p.
13
Let h(d) = 12*d - 7. Let c be h(5). What are the prime factors of (-8)/14 + c/7?
7
Suppose 2*t + 4*g + 8 = -0*t, 2*g - 20 = -5*t. Let m be (3*2)/(t/(-4)). What are the prime factors of 8 + m - 0/1?
2
Suppose 2*b + 0 - 2 = 2*w, 4 = 2*b - w. List the prime factors of b.
3
Let c = -4 - -7. Suppose 12 = c*z - 99. What are the prime factors of z?
37
Let b(r) = -2*r - 12. Let h be b(-8). Suppose 5*p = h*g - 60, -48 = -5*g + 4*p + 18. List the prime factors of g.
2, 5
Let q(n) = 7*n**2 - 11. What are the prime factors of q(4)?
101
Let x be 4/30 - (-774)/270. Suppose 2*a + 0*a = 10. Suppose 0 = w - x*z - 10, -4*z + 7 = 5*w - a. What are the prime factors of w?
2
Let b(q) be the second derivative of -q**5/20 - q**3/6 + 13*q**2 - 5*q. What are the prime factors of b(0)?
2, 13
Suppose 5*w - 160 = 1305. Suppose -5*p - 98 = -w. What are the prime factors of p?
3, 13
Let m(b) = -2*b - 6. Let o(p) = -6*p - 17. Let r(k) = 17*m(k) - 6*o(k). What are the prime factors of r(11)?
2, 11
Let y = 5 + 5. Suppose 0 = 2*x - i - 4*i - y, x + 4*i = 31. What are the prime factors of x?
3, 5
List the prime factors of ((-9)/(-3) - 167)/(-2).
2, 41
Suppose 1 = w - 2*w. Let f be ((-18)/(-8))/(w/(-8)). Suppose -2*k = 3*s + 3*k - f, -k - 58 = -5*s. List the prime factors of s.
11
Suppose 0 = 2*p - 1 - 7. Suppose -p*y = -0*y - 28. What are the prime factors of y?
7
Let h(q) = -8*q + 1. Let o be h(-1). Suppose -l = o - 1. Let z = l - -15. What are the prime factors of z?
7
Let v(b) = b + 10. Let a be v(0). Suppose m + 4*q - a = -0*q, 4*q - 34 = -5*m. Let h = m + -2. What are the prime factors of h?
2
Let c(v) = 6*v - 26. List the prime factors of c(11).
2, 5
Suppose -4*m - 178 = -74. Let r = m + 44. What are the prime factors of r?
2, 3
Suppose -n - 2*n = -9. List the prime factors of n.
3
Let v be (2 + -3)/(1/(-11)). Let q be 1/(-3) + (-10)/6. List the prime factors of (0 + -2)/(q/v).
11
Suppose -4*w + 5 = 1. Let m(b) = 4*b. List the prime factors of m(w).
2
Suppose -10 = -5*u - 0. Suppose 6*h - u*h = 88. What are the prime factors of h?
2, 11
Suppose 24 = u + 8. What are the prime factors of u?
2
Suppose -g = -3*r + 9, 2 = g - 1. Suppose 0 = 3*d - r*d + 6. Let b(p) = p**2 - 3*p - 6. List the prime factors of b(d).
2, 3
Suppose -153 = -4*h - 21. What are the prime factors of h?
3, 11
Let y = 105 + -48. List the prime factors of y.
3, 19
Suppose 5 = -3*m + 185. List the prime factors of m.
2, 3, 5
Suppose 0 = -3*k + 6*k - 270. What are the prime factors of k?
2, 3, 5
List the prime factors of (-3 + -2)*(-6 - -5).
5
Let n(g) = g**2 - 9*g + 10. Let a be n(7). Suppose 4*i + 2 = -6. Let w = i - a. List the prime factors of w.
2
Suppose 318 = 5*n - 232. List the prime factors of n.
2, 5, 11
Suppose 7*o + 65 = 506. What are the prime factors of o?
3, 7
Suppose 0 = 9*r - 3*r - 2202. What are the prime factors of r?
367
Let r = 86 + -46. List the prime factors of r.
2, 5
Let x(w) = w**3 + 7*w**2 + 6*w. Let s be x(-6). What are the prime factors of 13 + (2 - (2 + s))?
13
Let s be ((2 + -3)/1)/(-1). Let g be 2*2 - (0 + s). Suppose g*x + 2 = 4*x. What are the prime factors of x?
2
Let y = -10 - -27. What are the prime factors of y?
17
Let j(u) = 3*u**2 + u + 6. List the prime factors of j(-5).
2, 19
Let l(n) = n**3 + 6*n**2 + 6*n + 5. Let j be l(-5). Suppose -2*i + f = -0*i - 55, i = -3*f + 17. List the prime factors of 1 + i/2 + j.
2, 7
Let y(m) be the third derivative of -m**5/60 + m**4/3 - 5*m**3/6 + m**2. What are the prime factors of y(6)?
7
Suppose 8*m - 358 = 762. List the prime factors of m.
2, 5, 7
Suppose 0 = -3*q - 0*m - 2*m + 377, 4*m - 373 = -3*q. What are the prime factors of q?
127
Suppose 2*t - 7*t = -25. Suppose -t*f = -2*f - 3*n - 15, -5*f + 2*n = -10. Suppose f = -3*r + 11 + 1. List the prime factors of r.
2
Let j be (-1 - -1)/(1 + 0). Suppose -5*z + 3*p + 35 = j, 3*z = 3*p + 11 + 10. Let h = -2 + z. List the prime factor | {
"pile_set_name": "DM Mathematics"
} |
Is z equal to j?
False
Let k(c) = -2*c**2 - 4*c. Suppose -5*o - 27 = 4*a, -2*o - 18 = 5*a - o. Let j be k(a). Which is greater: j or -3?
-3
Suppose 3*z = 5*c + 75, -3*z - 135 = -8*z + 5*c. Is 32 bigger than z?
True
Let b(t) = -t + 5. Suppose 7 = -4*x + 31. Let r be b(x). Let n(i) = -i**2 - 6*i. Let j be n(-6). Which is greater: r or j?
j
Suppose -20 = 5*n - v + 5*v, 5*v - 20 = 5*n. Is -6 greater than n?
False
Let m = -227 - -8625/38. Do m and 1 have different values?
True
Let h(x) = -6*x + 10. Let l(t) = t - 1. Let i(d) = 2*h(d) + 10*l(d). Let b be i(5). Which is smaller: 1/15 or b?
b
Let u = -30 - -29. Suppose 0 = 5*j - 8 - 17, 3*p + 3*j - 15 = 0. Suppose 5*o - 4*o + 1 = p. Is u at most as big as o?
True
Suppose -2*b + 0 = -4. Let v = b + 0. Let l be v/(-8) - (-39)/(-36). Is -1 != l?
True
Suppose 3 + 1 = 4*t. Let j = 5 + t. Let y be j/(-14)*(-1)/(-3). Is y greater than 1?
False
Let a(w) = w**3 + 14*w**2 - 31*w + 5. Let x be a(-16). Which is smaller: -13 or x?
-13
Let g(b) = b**3 - 4*b**2 + 4*b. Let c be g(3). Suppose c*n = 2*n. Which is bigger: 2 or n?
2
Suppose -3*i - 55 = 32. Is -28 greater than or equal to i?
True
Let a(v) = 6*v - 3. Let n be a(3). Let s be 11/n - 2/5. Is 2 != s?
True
Let t be 44/(-66) - (-52)/42. Which is bigger: t or 0?
t
Let h(r) = -7*r + 1. Let b be h(-3). Let q be 1/3 + b/(-30). Which is smaller: -1 or q?
-1
Let w = 13 - 19. Let l = w + 25. Are 19 and l equal?
True
Suppose 0 = 4*a - 0*a. Let g be 0 + -1 + -4 + 2. Let h(s) = s + 3. Let x be h(g). Is x > a?
False
Let u = 13 - 9. Let n = u + -3.8. Which is bigger: -2/5 or n?
n
Let m = -16 + 28. Suppose 5*b - 15 = 5*x, 0*x + x = -4*b + m. Let u = -3 + b. Is 6/7 greater than or equal to u?
True
Suppose -2*d - c = -5, -5*c - 4 = -3*d - 3. Suppose -f - d = -3*f. Let j be (2/5)/(34/(-10)). Which is smaller: j or f?
j
Suppose 6*f + 112 = 2*f. Let c be (1 + 0)*(-6 + 1). Let g be 2/c + f/(-45). Which is smaller: -1 or g?
-1
Let d(u) = -u**2 - 10*u - 9. Let v be d(-9). Suppose 4*c + v = 4. Let l = 1.4 - 1.5. Is c < l?
False
Let j = -5 + 4.9. Let k = 8 - 8. Is j at most as big as k?
True
Let k = -3/2 + 5/4. Does k = 4?
False
Let n = 6 + -3. Are -4/7 and n unequal?
True
Let k = 976/105 + -66/7. Let q = 2/3 - 1/3. Which is smaller: k or q?
k
Let m be (64/(-600))/(2/10). Which is bigger: 0 or m?
0
Let j(q) = -q + 5. Let u be j(-8). Is u greater than -1?
True
Suppose 2*a + 10 = -2. Let b = 10 - 5. Suppose -11 - 18 = b*z + w, 0 = 2*z - 5*w - 10. Is z at least as big as a?
True
Let u(m) = -m**3 - 4*m**2 - 2*m + 1. Let t be u(-2). Let w be 33/(-12) - (-6 - t). Let s(a) = -a - 5. Let h be s(-4). Which is smaller: w or h?
h
Let r(v) = 3*v**3 - v**2 + 1. Let n be r(1). Suppose 3*b = 3*x, 2*x = -2*x + 5*b - 2. Which is smaller: n or x?
x
Let d = -0.14 - 4.86. Is -4 bigger than d?
True
Let v = -374779/64 - -442836569507/75621952. Let g = v + 3/5722. Let i = g - -116/413. Which is greater: i or -2/7?
i
Let v(y) = 2 - 2*y**2 - 3 - y + 0 + y**2. Let h be v(0). Which is smaller: -2 or h?
-2
Let f(p) = p + 3. Let h be f(-9). Let d be (-27)/h*(-39)/(-9). Let w = -20 + d. Is w greater than or equal to -2?
True
Let p = 0.34 - 1.34. Which is greater: -2/5 or p?
-2/5
Let f be ((-3)/(-3) + 0)/(-1). Let w be -1 + 5 - (3 + f). Is 5/4 equal to w?
False
Let z be (-6)/39 + (-1636)/13. Let t be 2/7 - (-64)/z. Which is greater: t or -1/4?
t
Suppose -11 = -v - 2. Suppose 4*w - 26 = u - 7, 5*w = -3*u + 45. Let s be (6/(-56))/(v/w). Which is greater: s or 0?
0
Let b(g) = g**3 + 4*g**2 - 6*g - 5. Let d be (-1)/((-9)/5 - -2). Let z be b(d). Which is smaller: z or -1?
-1
Let j(q) = -q + 5. Let g be j(6). Let i be g + (6 - 1*-2). Suppose -3*p + 19 = 4*f, -f + i = 2*p + p. Which is greater: 2 or p?
2
Suppose 15 = 3*r - 3*j + 84, -3*r - j - 69 = 0. Is -23 smaller than r?
False
Let d be (-18)/(-10) + 4/4*-4. Is -2 smaller than d?
False
Let s be 1*-5 + 0 + -2. Is 6 less than or equal to s?
False
Suppose 0 = l + 4*y + 10, -2*l = -l - 2*y - 14. Let q = 10 - l. Let k = -1 - -4. Which is greater: q or k?
q
Let g = -4 + 7. Suppose -5*u - c = 2*c - 30, c - 8 = -u. Are u and g unequal?
False
Let q = 16 - 12. Is 4 >= q?
True
Let a be (-2)/5 + (-8)/(-20). Suppose -t - t - 4 = a. Suppose 2*z - 4*z - 3*c = -6, 4*c = 16. Which is greater: t or z?
t
Let y = -1.3 + -6.2. Let u = y - -9. Which is smaller: -1/3 or u?
-1/3
Let m be 75/30*(-8)/45. Which is greater: m or -1?
m
Let x be 1162/(-624) - (-4)/(-6). Let s = x + 19/8. Suppose 0*p = -p. Is p greater than s?
True
Let t = -5 + 10. Suppose -5*g + 2*y = t*y + 14, 12 = -4*y. Do -2 and g have different values?
True
Suppose 2*r + r - 21 = 0. Let s be (-1)/(-2)*4/r. Is s not equal to 0?
True
Suppose -4*x + 6 = -2*x. Let l be (-3)/(-18)*x/2. Suppose -3 = -3*u - 0. Which is smaller: u or l?
l
Let t be 8/(576/(-124)) + 4/18. Which is smaller: -3 or t?
-3
Let w(m) = m**3 + 7*m**2 - 2. Suppose -2*p = 5*a + 37, -a + 2*a + 3 = 4*p. Let r be w(a). Which is bigger: r or 0?
0
Let r = 61 + -58.2. Which is greater: 0.2 or r?
r
Let h = -24 + 59. Suppose 0 = 5*w - 0*w - h. Suppose -4*n + 3*n = m + w, 5*n = -m - 27. Which is smaller: m or -3?
-3
Let x = -0.31 - -0.61. Is 4 smaller than x?
False
Let k = 9.14 - 0.54. Let g = k + -8. Let s = -0.5 + g. Which is smaller: -2/9 or s?
-2/9
Let k = 11.85 + -12. Let a = k + 0.22. Is a at most 1?
True
Suppose -5*z - 35 = 2*t, -4*z + 5 = 25. Let r = -1 - t. Let u = r - 3. Is u greater than -1?
True
Suppose 5*n = 2 + 8. Suppose -n*a - 4 = -0. Let o = -30 - -212/7. Which is bigger: o or a?
o
Let n = -0.21 - -0.11. Which is smaller: n or -0.06?
n
Let j = -218.97 + 218. Let a = 0.03 - j. Which is smaller: -0.3 or a?
-0.3
Let b = -8 - -7. Let u be b/6 + (-1)/2. Is 0 less than or equal to u?
False
Let x be (-10)/(-14) + (-6)/14. Is x at least 1?
False
Let r be (-4)/2 + (-160)/(-50). Which is greater: r or 2/7?
r
Let l = 0.011 - 11.111. Let a = -11 - l. Which is greater: a or -1.2?
a
Let r = 24 + -55. Let d = r - -46. Is d equal to 16?
False
Let p = 12 + -34/3. Let i(z) = -z. Let b be i(-2). Which is greater: p or b?
b
Let h(z) = -z**3 - 11*z**2 + 12*z + 2. Let f be h(-12). Let w be -1 + 1 - (1 - -1). Which is smaller: w or f?
w
Suppose 3*j = -t - 13, 3*j = -2*t + 4*t - 10. Let o be j/(-10) + 32/20. Which is smaller: 3 or o?
o
Let j = -2 - 1. Let l be (-186)/210 - j/5. Which is bigger: 0 or l?
0
Let i = -0.1 - -0.2. Let y = 79 - 551/7. Is y != i?
True
Let n = -23 + 22.7. Let g = 46 - 320/7. Which is smaller: n or g?
n
Suppose -48 = -0*b - 4*b. Let z = 24 - b. Is 12 less than z?
False
Suppose h - 2 = 3*q, h = -2*h - 3*q - 42. Let f be (-20)/h*2/16. Let c(a) = -a - 9. Let s be c(-8). Do s and f have the same value?
False
Let j be (-2 + 8/5)/(6/(-9)). Suppose 3 = -l + 4. Suppose 3*y = 4*y - l. Is j at most y?
True
Suppose 3*r - 4 = -4*d, 5*d - 5 = -4*r - 0. Let p = 18/17 + -125/102. Is d at most p?
False
Let f(n) = n + 4. Let u be f(-3). Let p = -1 + 2. Is p bigger than u?
False
Let d be 4/105*5/2. Let f = d + 4/7. Let y = -0.08 + 0.28. Does y = f?
False
Let g(q) = q**3 + 2*q - 5. Let k be g(0). Suppose m + 3*o - 5 = 0, 9*o = 4*o + 20. Which is bigger: m or k?
k
Let a = -6221/2422 - 1/346. Which is greater: -3 or a?
a
Let q be 5/(-7) - (-6)/(-21). Let k = -0.2 - -0.3. Let s = 0 + k. Which is greater: q or s?
s
Suppose -5*y = j + 107, -5*y = -6*j + 3*j + 119. Let w be 0 - (-2 - y/10). Which is smaller: -1 or w?
-1
Let q = 2 - 2.1. Let h = -0.12 - q. Let f = h + 0.02. Which is smaller: f or 4?
f
Suppose -4*q + 0*t = -4*t - 20, 5*t + 15 = 0. Let o = 14 + 3. Suppose -h + 4*x - 14 = h, -h = -4*x + o. Is h smaller than q?
False
Let z be (-2)/(-4)*(2 - 2). Suppose -15 = 5*m + j, 0 = -z*m - m - 5*j - 3. Let l be (1 + -6)*(m + 2). Is 5 greater than l?
False
Let v = -15 - -17. Let y be v/(-8) + 10/160. Which is smaller: 0 or y?
y
Let g be ((-8)/6)/((-570)/45). Which is greater: g or 0?
g
Let p(q) = 3*q - 23. Let d be p(7). Suppose 3*k - 2*f = -1 - 0, -f - 2 = k. Which is smaller: d or k?
d
Let f(u) = -u**2 + 4*u - 1. Let q be f(3). Let r be ((-6)/(-2))/12*(3 - 4). Is q at least r?
True
Let h be 32/(-64) - 2/(-4). Are -7/15 and h equal?
False
Let m be 39/(-42) - 2/4. Is m less than -1?
True
Suppose 0*p - 4*p = -4. Let i = -84 - -171/2. Is i at most p?
False
Let y(q) = q + 10. Let | {
"pile_set_name": "DM Mathematics"
} |
3*p**2
Collect the terms in -667*q - 17*q**3 + 19*q**3 + 599*q.
2*q**3 - 68*q
Collect the terms in -5*k**2 + 325 - 58 - 99.
-5*k**2 + 168
Collect the terms in 97 - 19 + 19*y**3 + 8*y**3 - 28 - 21 - 29.
27*y**3
Collect the terms in 2*k**2 + 570764*k + 571773*k - 5 + 5 - 1142537*k.
2*k**2
Collect the terms in -52540151*i + 52540151*i - 32*i**2.
-32*i**2
Collect the terms in -28*t + 28*t - 978692*t**3.
-978692*t**3
Collect the terms in -4*x**2 + 41321872 - 41319950 + 3*x**2.
-x**2 + 1922
Collect the terms in 131*t**3 + 123*t**2 + 122*t**2 - 386*t**2 - 93*t**3 + 141*t**2 - 35*t**3.
3*t**3
Collect the terms in 31271540955*m**2 + 8*m**3 - 31271540955*m**2.
8*m**3
Collect the terms in 4*m**3 - 305781538*m**2 - 305781536*m**2 - 6*m**3 + 611563074*m**2.
-2*m**3
Collect the terms in 563*y**2 + 24896*y**3 - 1129*y**2 + 566*y**2.
24896*y**3
Collect the terms in -3932*h - 1275*h + 82*h.
-5125*h
Collect the terms in -157277*z**2 + 157288*z**2 - 25 + 25 + 18*z.
11*z**2 + 18*z
Collect the terms in 31*r**2 - 59*r**3 + 22*r**3 - 62*r**2 - 95*r**3 + 31*r**2.
-132*r**3
Collect the terms in -3 + 108 - 29 + 192 + 244 - v - 2*v**2 + 344.
-2*v**2 - v + 856
Collect the terms in -3 + 4 + 63888*m**2 + 5 - 63890*m**2.
-2*m**2 + 6
Collect the terms in -210*l - 185*l + 398*l - 208*l.
-205*l
Collect the terms in -38*o**2 + 82 - 21 - 13 - 30 - 10*o**2 - 19.
-48*o**2 - 1
Collect the terms in 5638*r**2 + 2900*r**2 + 7707*r**2.
16245*r**2
Collect the terms in 89791*t**2 - 1 - 148933*t**3 - 89791*t**2.
-148933*t**3 - 1
Collect the terms in -29*j + 9 - 82*j - 26*j - 10 + 141*j.
4*j - 1
Collect the terms in 3917238 - 3*q**2 - 7834497 + 3917259.
-3*q**2
Collect the terms in 4012744*i**2 + 10 + 2 - 4012747*i**2.
-3*i**2 + 12
Collect the terms in -36*d + 28*d + 10 + 5 - 22 + 6.
-8*d - 1
Collect the terms in -1735 + 23*k**2 + 6945 - 1731 + 23*k**2 - 1748 - 1732.
46*k**2 - 1
Collect the terms in 273*k**2 + 130*k**2 - 100*k**2 + 238*k**2 + 94*k**2.
635*k**2
Collect the terms in -15 - 34 + 97 + 254*n - 48 + 21*n.
275*n
Collect the terms in 833*s + 1 + 356*s + 585*s - 1.
1774*s
Collect the terms in -595*a + 3587876 - 3587876.
-595*a
Collect the terms in -4671*m - 2767*m - 5485*m.
-12923*m
Collect the terms in 146*k - 33*k - 18*k - 58*k - 54*k.
-17*k
Collect the terms in 21754463 - 21754463 - 535*b.
-535*b
Collect the terms in -1307 - 16*d**2 - 1301 + 2608.
-16*d**2
Collect the terms in -1714*l + 3078*l - 4*l**2 - 3*l**2 - 1636*l.
-7*l**2 - 272*l
Collect the terms in 49 - 18*n**2 - 1303 + 1254 + 4*n**2.
-14*n**2
Collect the terms in -d**2 - 2*d**2 - 759970*d**3 + 759778*d**3 + 2*d**2.
-192*d**3 - d**2
Collect the terms in -8011*l**2 - 8330*l**2 - 7831*l**2 - 6984*l**2.
-31156*l**2
Collect the terms in -66642*v**2 + 74081*v**2 - 1 - 1 + 2.
7439*v**2
Collect the terms in -2223*h**2 + 2475*h**2 - 233*h**2.
19*h**2
Collect the terms in 372181*r**2 - 185484*r**2 - 186694*r**2.
3*r**2
Collect the terms in -4*w + 23*w**2 + 5 + 39*w**2 + 219*w**2 - 2 - 2*w**2.
279*w**2 - 4*w + 3
Collect the terms in 17*q**2 + 2121*q**3 + 3*q**2 - 2114*q**3 - 7*q**2.
7*q**3 + 13*q**2
Collect the terms in 1770872 + 4*k + 1770863 - 3541735 - 4*k + 40*k**2.
40*k**2
Collect the terms in -2541836 + 5083669 - 2541833 + 178*u**3.
178*u**3
Collect the terms in 7 - 84339*u**2 + 84339*u**2 - 4179*u**3 + 2*u.
-4179*u**3 + 2*u + 7
Collect the terms in 3318*i + i**3 + 5 + 901*i + i**3 - 8.
2*i**3 + 4219*i - 3
Collect the terms in 13*g**2 + 16*g**2 - 25*g**2 - 3 - 680173*g.
4*g**2 - 680173*g - 3
Collect the terms in -62802*u + 86782*u + 204707*u + 52318*u.
281005*u
Collect the terms in -5103*w**3 + 1668*w**3 + 1722*w**3 + 1752*w**3.
39*w**3
Collect the terms in -33*s**2 + s - 1520 + 3041 - 21*s**3 - 1521 + 8*s**2.
-21*s**3 - 25*s**2 + s
Collect the terms in 53*s**2 - 68*s**2 + 4*s**2 + 406*s - 205*s - 201*s + 9*s**2.
-2*s**2
Collect the terms in 144894 + 29666 + 63*t + 18379.
63*t + 192939
Collect the terms in 7893*c**3 - 159*c**3 + 3371*c**3 + 3916*c**3.
15021*c**3
Collect the terms in 3*a**2 + 73469 + 75451 - 148920.
3*a**2
Collect the terms in -21972 - 21974 - 22*i**3 + 65922 - 21976.
-22*i**3
Collect the terms in 144*q**3 + 44*q**3 + 6*q**2 + 14*q**2.
188*q**3 + 20*q**2
Collect the terms in 2818 - 851*h + 847*h + 3737.
-4*h + 6555
Collect the terms in 126*a + 6463*a + 15950*a.
22539*a
Collect the terms in 6990*m + 1 - 1 + 7066*m - 13686*m.
370*m
Collect the terms in -22*p + 189*p + 312*p**2 - 222*p**2.
90*p**2 + 167*p
Collect the terms in 57*h**2 + 0*h + 0*h + 4078 - 8014 + 3936.
57*h**2
Collect the terms in -5 + 27*z - 138581228*z**2 + 28*z - 55*z + 5 + 138581231*z**2.
3*z**2
Collect the terms in 0 + 66594*i + 6*i**3 - 133189*i + 66595*i + i**3 - 5.
7*i**3 - 5
Collect the terms in 16*n + 221*n + 106*n - 108*n + 109*n + 327*n.
671*n
Collect the terms in -11595114*d**2 - 11*d + 11594252*d**2 + 11*d.
-862*d**2
Collect the terms in 11*c**2 - 12 + 3*c - c + 2*c + c.
11*c**2 + 5*c - 12
Collect the terms in -1520 + 47*j**3 + 1517 - 677*j**3.
-630*j**3 - 3
Collect the terms in 2*q - 1 - 25071*q**2 + 15 + 3032*q**2.
-22039*q**2 + 2*q + 14
Collect the terms in 5*f + 37 + 30 - 6.
5*f + 61
Collect the terms in 531641910848611 - 5*o**3 - 531641910848611.
-5*o**3
Collect the terms in -4*k - 10*k + 9*k - 64 + 69 - 5*k.
-10*k + 5
Collect the terms in 9*l + 4068 - 7*l + 23278.
2*l + 27346
Collect the terms in 21*s + 26*s - 3131 - 8012 - 168*s.
-121*s - 11143
Collect the terms in 2488*w**2 - 43*w**2 - 37*w**2 - 2496*w**2.
-88*w**2
Collect the terms in 877*y**3 - 423 - 433 + 856.
877*y**3
Collect the terms in 3071 + 231*f + 3048 - 2208 - 254*f.
-23*f + 3911
Collect the terms in 92 - 371693*j - 47 - 45.
-371693*j
Collect the terms in 54260 + v**3 - 117490 + 63230.
v**3
Collect the terms in -210*g - 73 - 35 + 84.
-210*g - 24
Collect the terms in 67*b**2 + 71*b**2 - 340*b**2 + 61*b**2 + 70*b**2 + 18*b + 74*b**2.
3*b**2 + 18*b
Collect the terms in 1620*p**3 - 2*p**2 - 446*p**3 - 755*p**3 - 442*p**3 + 2*p**2.
-23*p**3
Collect the terms in 6325*l**3 + 9312*l**3 - 272*l**3.
15365*l**3
Collect the terms in -29*s**2 + 29*s**2 - 1359*s**3 - 238*s**3 - 145*s**3.
-1742*s**3
Collect the terms in -241*f**2 - 2 + 2 - 238*f**2 - 183*f**2 + 659*f**2.
-3*f**2
Collect the terms in 196*d**3 - 3519*d**3 - 1605*d**3 + 842*d**3 - 1648*d**3.
-5734*d**3
Collect the terms in -708490*y**2 + 13 + 1416941*y**2 - 708450*y**2.
y**2 + 13
Collect the terms in 598546*l + 64311*l - 21512*l.
641345*l
Collect the terms in 383*o - 3914*o + 6244*o.
2713*o
Collect the terms in 4232*t + 2293 - 4234*t + 2027 - 4320.
-2*t
Collect the terms in 8005937 - 8005937 + 7151*y.
7151*y
Collect the terms in 14617*d + 14268*d + 7 + 3 - 7 - 9844*d.
19041*d + 3
Collect the terms in 15*t + 13*t + 461 + 125 - 37.
28*t + 549
Collect the terms in 31*f - 10*f - 14*f - 8*f + 6*f - 15*f**3 - 4*f.
-15*f**3 + f
Collect the terms in 7*y + 4*y**3 + 17*y**3 - 43 + 36*y**3 - 5*y.
57*y**3 + 2*y - 43
Collect the terms in 7750 - 5*u**2 + 13*u**2 - 3*u**2 + 7743 + 14*u**2 - 15493.
19*u**2
Collect the terms in -5*z**2 - 24046*z**3 + 0*z**2 + 5*z**2.
-24046*z**3
Collect the terms in 2 - 53*r**3 + 58*r**3 - 8 - 52*r**3 + 6 - 60*r**3.
-107*r**3
Collect the terms in -454*r**2 + 75954699898*r + r**3 - 75954699898*r.
r**3 - 454*r**2
Collect the terms in -1147*k - 249*k + 22 - 8 - 12.
-1396*k + 2
Collect the terms in -547 - 1130 - 549 + 2725 + 2*t**2 - 499.
2*t**2
Collect the terms in -32884*q**2 + 32886*q**2 - 203 + 13.
2*q**2 - 190
Collect the terms in 17503*v**3 - 35260*v**3 + 17870*v**3.
113*v**3
Collect the terms in 28446*m - 7362*m - 21145*m.
-61*m
Collect the terms in 5040 - 4*s + s**2 + 6*s**3 - s**2 + 4*s.
6*s**3 + 5040
Collect the terms in -17*v - 10*v**2 - 41*v + 9 - 22 + 80*v + 13.
-10*v**2 + 22*v
Collect the terms in 3280 + 3277 - 9789 + 348*j**2 + 2*j + 3232.
348*j**2 + 2*j
Collect the terms in -8*b**3 + 5546878909171*b**2 - 5546878909171*b**2.
-8*b**3
Collect the terms in -313*n**2 + 211*n**2 + 2*n + 189*n**2 - n - 85*n**2 - n.
2*n**2
Collect the terms in -22960 + 68882 - 22961 + 5*q**3 + 3*q - 111*q**2 + 111*q**2 - 22961.
5*q**3 + 3*q
Collect the terms in 1 + 195*f**3 + 100477*f**2 + 1 - 100476*f**2.
195*f**3 + f**2 + 2
Collect the terms in -468967 + 468967 - 2423*c.
-2423*c
Collect the terms in t**3 | {
"pile_set_name": "DM Mathematics"
} |
x = 5*x - 5*f - 16, 5*x - 20 = -2*f. Let v = 6 - 43/7. Let t = 2/19 + 9/95. Which is the nearest to x? (a) 4 (b) v (c) t
a
Let o = -6 - -11. Suppose 4*n = 5*n - 2. What is the nearest to 0 in n, o, 3?
n
Suppose 3 = 3*d - 51. Suppose -5*r - 3 + d = 0. Let w = -3 - -3.5. Which is the closest to 1? (a) r (b) w (c) -1/2
b
Suppose -5*r = -7*q + 2*q + 25, 5*q - 20 = 0. Which is the closest to r? (a) -1/8 (b) 0.2 (c) -1
c
Let o = 2/9 + -5/9. What is the closest to 0 in o, -12, -1?
o
Let t = -11 - -7. Let z = -3.9 - t. Let q be (0 + 3)/(18/(-12)). Which is the closest to z? (a) -5/2 (b) q (c) 4
b
Let m = -0.53 + 0.13. Suppose -3*v = 5*f - 27, 3 - 15 = -4*f. Let z be 2/v + 1/2. Which is the closest to z? (a) 5 (b) 4 (c) m
c
Let b = 17 + -11.5. Let c = -5 + b. Let o be 1/(-2) + 1/3. What is the closest to 1 in c, o, -0.1?
c
Let y = 0.32 - 0.02. Let s = y - 0.2. What is the nearest to s in -0.2, 0, -0.3?
0
Let k = -0.14 + -1.86. Let u = k + -2. What is the closest to 2 in -0.1, u, 0.3?
0.3
Let x = -17 - -15. Let g = -4 - x. Which is the nearest to 1? (a) -9 (b) 1/4 (c) g
b
Let x = -178 - -887/5. Which is the nearest to 1/4? (a) x (b) -4 (c) 0
c
Let c be (-3)/8 - 7/(-56). Let w = 2 + -2.3. What is the closest to c in -0.4, w, -4?
w
Let v = -12 + 17. What is the nearest to 3 in 0.5, v, 3/4?
v
Let k = -0.22 - 4.78. What is the closest to 1 in 4/3, k, 5?
4/3
Let o = 0.7 - -1.3. Let i = o + -2. Let r = -0.1 - i. Which is the nearest to r? (a) -5 (b) -4 (c) -2/7
c
Let u(f) = -2*f - 5. Let v be u(-4). What is the closest to -2/9 in v, -2/9, 2?
-2/9
Let i = 3 + -8. Let a be (-3)/(-5) - 17/i. Suppose a*u = 6*u. What is the closest to 0.1 in u, 0.4, 1?
u
Suppose 0*w = -w - 3. Let i = 0.07 + 14.93. Let j = i + -15. Which is the nearest to j? (a) -1/11 (b) w (c) 0
c
Let v = 0.9 - 1.3. Let l = 4 + -3.6. What is the closest to -1/3 in 0.5, v, l?
v
Let g = 4.2 - 4. Which is the nearest to -3? (a) 1 (b) g (c) 1/3
b
Suppose 0*v - 8 = 4*v. Let g(k) = -k**2 + 1. Let o be g(v). Which is the closest to 1? (a) -5/4 (b) o (c) -0.4
c
Let u = 14 + -8.3. Let j = u - 6. Let f = 2 + 3. What is the nearest to j in -2, f, 3?
-2
Let n be 0*(1 - -2)/3. Let j = 17 + -13. Which is the closest to n? (a) -1/4 (b) j (c) 2/7
a
Let y be (-1)/3*18/(-9). Let q(k) = k + 6. Let t be q(-6). Which is the closest to t? (a) y (b) -5 (c) 4
a
Let c be 4/(-10) + 19/35. Let i(n) = -n - 4. Let w(t) = -t**3 + 7*t**2 - 8. Let u be w(7). Let m be i(u). What is the nearest to 0.1 in 0, c, m?
c
Let w = 1982/5 - 397. Let x = -93/7 + 13. Which is the closest to 2? (a) 5 (b) x (c) w
b
Let f = -0.4 - -0.3. Let w be (0 - 1)/((-2)/22). Suppose w + 9 = -5*i. What is the nearest to f in -1/11, i, 3?
-1/11
Let m = 27 - 22. Let f = 6 + -8. What is the nearest to -1 in 0.3, f, m?
f
Let i = -733/5610 + -1/374. Which is the nearest to i? (a) 5 (b) 1 (c) 0.4
c
Suppose 8 = -3*z + 20. What is the nearest to 0 in z, -1/4, -1/6?
-1/6
Let m = -6.6 - -32.6. Let l = -25 + m. Let g = 2.1 + -2. Which is the nearest to g? (a) l (b) -2 (c) -0.3
c
Suppose 5*n - n - 8 = -3*g, 2*n = 4*g + 4. Let t be ((-2)/(-4))/(5/(-10)). Let w be 3*(-3)/15*t. Which is the closest to g? (a) w (b) 5 (c) -2/3
a
Let h = -0.6 - 0.4. Let d = 0.9 + h. Let o = -5.8 + 0.8. Which is the closest to 1? (a) d (b) o (c) -0.2
a
Let z = -29 - -30.7. Let g = z + 0.3. Which is the closest to 0.2? (a) 4 (b) -4 (c) g
c
Let q = 151 - 146. Let h be (-12)/3 + (0 - 0). Which is the closest to q? (a) -3 (b) 2 (c) h
b
Let b = 506 + -505. Let l be 6/16 + (0 - 0). What is the nearest to -2 in b, l, 4/5?
l
Let x = 5.05 + -0.05. Let d = 1 + x. Let o = 6.1 - d. What is the closest to -2/3 in -2, 0.3, o?
o
Let b = 2.8 + 1.2. Let c be (-1)/1 - (-34)/30. What is the closest to 0 in b, c, 5?
c
Let w(p) = 2*p - 5. Let s be w(4). Let j be s/(-1) - 34/(-10). Which is the nearest to -0.4? (a) -0.2 (b) 0.1 (c) j
a
Let j = 116 - 1046/9. Let l = 0.04 + 0.36. What is the closest to 0 in j, l, -2?
j
Let f(u) = u**2 + 7*u - 5. Let g be f(-8). Let b = -3 + g. Let a = -2.01 + 0.01. What is the closest to 2 in a, b, 4/9?
4/9
Let r be (-2 - -1) + 6/3. Suppose 0 = -3*t + 10 - 1. Which is the nearest to 0? (a) r (b) t (c) -5
a
Let x = -11/3 + 61/15. Which is the closest to x? (a) -1/7 (b) -0.5 (c) -5
a
Let k = -0.978 + -0.022. What is the nearest to k in -0.1, 2, 4/7?
-0.1
Let v = -940/7 + 134. Let y = -32 - -32.4. Let w be 4/10*(-20)/6. Which is the closest to v? (a) w (b) -0.5 (c) y
b
Let d be 893/(-646) - 3/(-2). Which is the nearest to 2? (a) 3 (b) 2 (c) d
b
Let h be ((-2)/(-8))/((-2)/(-2)). Let w = 11 + -35. Let t = -97/4 - w. What is the nearest to 0.1 in -2, h, t?
h
Let z(t) = t**3 - 3*t**2 + 2*t - 2. Let v be z(2). Let x = v + 4. Suppose 5*f + 2*c = 30, -f + x*f + 4*c = 24. What is the nearest to -1/3 in f, -0.2, 2?
-0.2
Suppose -2*i = i + m - 1, 0 = i + 5*m - 5. Let x be (-6)/14 + i/1. Which is the closest to 0.1? (a) -0.1 (b) x (c) -2
a
Let h = 55.1 + -55. Which is the closest to h? (a) -2 (b) 2 (c) -3
b
Suppose c + 14 = -4*j, 3*j + 3*c - 2 = 2*j. Let i = 745/8 + -93. What is the nearest to -2/5 in i, -1, j?
i
Let d = 10.6 - 3.6. What is the nearest to d in 0.5, -1, -0.1?
0.5
Let k = -2.9 + 3. Let r = -0.032 + -1.968. Which is the nearest to -0.1? (a) k (b) -0.4 (c) r
a
Let f = 24 - 35. Let s = 5 + f. Which is the nearest to s? (a) -1/5 (b) 1 (c) -1
c
Let k(j) = 2*j**2 + 32*j + 31. Let u be k(-15). What is the nearest to 0 in -0.1, u, 3?
-0.1
Suppose -4*o - 3*k = 4, -o + 2*k + 10 = -0. Let p be o/(-8) - 30/(-56). Let v = -60 - -61. What is the nearest to v in 1, p, -0.4?
1
Let z = 13/48 + -1/48. Which is the nearest to 2/11? (a) -1 (b) z (c) -0.4
b
Let c = -1.2 - -0.2. What is the closest to c in 2/21, 0.5, 4?
2/21
Let y be 11/(-4) + 2/1. Let j(d) = d - 6. Let z be j(4). What is the closest to z in 0.1, -1/6, y?
y
Suppose 0 = -10*a + 14 + 6. What is the closest to -1/2 in -5, a, 5?
a
Let u = -2.9 + 3. What is the closest to -4/5 in 2/17, -1, u?
-1
Let u = -1 + 1.5. Suppose d - 12 = -2*h, -3*h + 0*h + 9 = -3*d. Suppose 0 = 4*t - t + 12. What is the closest to 2 in h, u, t?
u
Suppose u + 4*q = -14, -6 = -3*q - 15. Which is the nearest to 0.1? (a) u (b) -1/2 (c) -2/9
c
Let b = -18.8 + 19. Suppose 7*a + 25 = 2*a. What is the closest to b in a, -3, -2/7?
-2/7
Let d be 0/((-5)/((-5)/(-2))). Suppose d*z = -5*z + 20. What is the nearest to 0.2 in z, 3/4, -0.5?
3/4
Let f be (52/(-8) - -4)*(0 - -2). Let x = 0.2 + -0.1. Let r = -0.3 - -1.3. Which is the nearest to r? (a) f (b) 0.3 (c) x
b
Let l be 4 + ((-80)/28 - 1). Which is the closest to 0.2? (a) 5 (b) -3 (c) l
c
Let v = -3 + 4. Let d = 4 + -5. Which is the nearest to d? (a) 1/4 (b) v (c) 0.2
c
Suppose -1 = 3*k - 10. Let l = 3 - 2.99. Let p = l - 0.01. Which is the closest to p? (a) 0.5 (b) 0 (c) k
b
Let a = 3.821 - -0.179. What is the closest to -2/7 in 3/8, 1, a?
3/8
Let d = -26 - -28. Let z = 1 + -1.2. Let n = -0.2 - -0.4. What is the closest to -0.01 in n, z, d?
z
Let t(y) = y**3 - 6*y**2 + 5*y + 3. Let g be t(5). Suppose -3*l - 31 = q + g*q, -2*l + 5*q = -10. What is the nearest to 2 in 3, l, 5?
3
Let p = 128 - 129. Suppose 15 = 2*j - 0*j + d, -2*d = 5*j - 35. Which is the closest to -0.1? (a) 0.1 (b) j (c) p
a
Let t(s) = s**3 + 5*s**2 + 4*s. Suppose 5*k + 11 + 4 = 0. Let i be t(k). Let h be 8/i*3/2. Which is the closest to 0.2? (a) -4/5 (b) h (c) 4/7
c
Let w = -2/387 - -1165/774. What is the closest to 0.1 in w, -2, -4?
w
Let q = 46 - 32. Let y = q - 12. Which is the closest to 0? (a) -1 (b) y (c) -3
a
Let y = 29 + -30. Which is the nearest to y? (a) 0 (b) 1 (c) 2/7
a
Let v = -59 + 74. What is the nearest to v in -4, 0, -1?
0
Let c(x) = -x**2 + 5*x - 2. Let l be c(6). Let f be (-2)/(-3)*(-4)/l. What is the closest to f in -5, 4/7, 2/3?
4/7
Let l = 157 + -328. Let s be (-321)/l*-1 - -2. Let a = -4/19 - s. What is the closest to 1/3 in -5, -1/2, a?
a
Let p = 3.1 + -10.2. Let j = p + 7. What is the closest to j in -1/5, 2/19, -4?
-1/5
Let p be (-18)/(-20)*(-4)/6. Let i = 6.12 + -0.12. Let y = -5.8 + i. Which is the closest to 1? (a) 0 (b) p (c) y
c
Let k = 4 - 9. Let t = 10 + k. Suppose -2*p = t*z - 14, -2*p + 0*z = -2*z. W | {
"pile_set_name": "DM Mathematics"
} |
348 a multiple of 108?
True
Is 61 a factor of 107493?
False
Is 20828 a multiple of 59?
False
Is 36920 a multiple of 710?
True
Does 5 divide 1522077?
False
Is 343464 a multiple of 264?
True
Does 768 divide 291840?
True
Is 2698928 a multiple of 592?
True
Does 14 divide 1738130?
False
Is 40 a factor of 601183?
False
Is 51 a factor of 1514139?
True
Is 94 a factor of 131737?
False
Is 20 a factor of 607220?
True
Does 223 divide 105824?
False
Is 86758 a multiple of 43?
False
Is 24 a factor of 229200?
True
Is 602588 a multiple of 14?
True
Is 284 a factor of 14116788?
True
Does 318 divide 3812895?
False
Is 363 a factor of 2715603?
True
Is 77464 a multiple of 421?
True
Does 84 divide 126941?
False
Is 107 a factor of 130540?
True
Is 31 a factor of 21917?
True
Is 8 a factor of 919071?
False
Does 151 divide 1031330?
True
Is 1015092 a multiple of 324?
True
Is 104 a factor of 34320?
True
Does 101 divide 301586?
True
Does 535 divide 315342?
False
Is 2889460 a multiple of 2?
True
Is 99 a factor of 68712?
False
Is 3 a factor of 20704?
False
Is 75 a factor of 42396?
False
Is 257 a factor of 3452811?
False
Does 8 divide 22056?
True
Is 2248940 a multiple of 163?
False
Is 140 a factor of 558740?
True
Is 36 a factor of 1070905?
False
Is 9 a factor of 33203?
False
Is 9 a factor of 14552?
False
Does 14 divide 170757?
False
Is 9066 a multiple of 65?
False
Does 60 divide 73030?
False
Does 14 divide 21756?
True
Does 10 divide 334421?
False
Is 3345734 a multiple of 706?
True
Is 53 a factor of 351602?
True
Does 591 divide 3025920?
True
Is 815947 a multiple of 4?
False
Does 152 divide 126008?
True
Does 443 divide 2599060?
False
Is 321 a factor of 71926?
False
Is 32 a factor of 1180423?
False
Does 4 divide 111352?
True
Is 785904 a multiple of 195?
False
Is 425249 a multiple of 9?
False
Is 409920 a multiple of 4?
True
Is 26011 a multiple of 37?
True
Does 31 divide 257796?
True
Is 23895352 a multiple of 194?
False
Is 93 a factor of 191673?
True
Does 36 divide 7010924?
False
Is 156 a factor of 2219724?
True
Does 22 divide 2992927?
False
Is 155 a factor of 469011?
False
Does 162 divide 11154996?
True
Is 559311 a multiple of 138?
False
Does 8 divide 2199995?
False
Is 3 a factor of 3107199?
True
Is 13 a factor of 8833071?
True
Is 18 a factor of 615515?
False
Does 63 divide 199729?
False
Is 37 a factor of 42550?
True
Is 1826650 a multiple of 85?
True
Does 40 divide 1591400?
True
Is 199 a factor of 78507?
False
Does 501 divide 14892726?
True
Is 103 a factor of 10668946?
True
Is 183 a factor of 250419?
False
Is 46214 a multiple of 58?
False
Is 15925 a multiple of 13?
True
Is 50 a factor of 122251?
False
Is 109906 a multiple of 41?
False
Does 404 divide 607604?
False
Does 84 divide 166978?
False
Is 536939 a multiple of 13?
True
Does 9 divide 1325313?
True
Is 10 a factor of 9880?
True
Is 1782514 a multiple of 146?
True
Is 120708 a multiple of 383?
False
Is 1777738 a multiple of 18?
False
Is 49620 a multiple of 6?
True
Is 11 a factor of 691823?
True
Does 2 divide 2304178?
True
Does 257 divide 3326556?
False
Is 267530 a multiple of 155?
True
Is 43 a factor of 129807?
False
Is 235 a factor of 2260871?
False
Is 40711 a multiple of 11?
True
Does 14 divide 23827174?
True
Does 68 divide 218348?
True
Does 289 divide 10944815?
False
Is 48416 a multiple of 178?
True
Is 2641320 a multiple of 115?
True
Does 116 divide 6854552?
False
Is 34 a factor of 1461503?
False
Does 18 divide 1087485?
False
Is 4292877 a multiple of 13?
False
Is 150 a factor of 11458793?
False
Is 29 a factor of 360919?
False
Is 91 a factor of 4616885?
True
Does 74 divide 7123798?
False
Does 34 divide 44952?
False
Does 12 divide 5790?
False
Is 42 a factor of 157080?
True
Is 479 a factor of 99346?
False
Is 1302258 a multiple of 20?
False
Does 47 divide 30362?
True
Is 34 a factor of 597091?
False
Is 17551056 a multiple of 8?
True
Does 22 divide 26833?
False
Is 3 a factor of 657924?
True
Is 112 a factor of 46480?
True
Is 136 a factor of 43112?
True
Is 419 a factor of 41481?
True
Is 324870 a multiple of 7?
True
Is 485 a factor of 12608060?
True
Does 27 divide 1052826?
False
Is 285 a factor of 146205?
True
Does 7 divide 35493?
False
Is 4 a factor of 12262?
False
Does 82 divide 3082416?
False
Does 298 divide 960752?
True
Is 71 a factor of 95424?
True
Does 107 divide 26620637?
True
Does 2 divide 450563?
False
Does 114 divide 72937?
False
Does 104 divide 1863888?
True
Is 367 a factor of 185226?
False
Does 60 divide 435302?
False
Does 9 divide 9117?
True
Is 25715 a multiple of 3?
False
Is 5244230 a multiple of 876?
False
Is 320 a factor of 127360?
True
Is 351 a factor of 92313?
True
Is 99130 a multiple of 20?
False
Is 416 a factor of 68712?
False
Is 109 a factor of 230317?
True
Is 18 a factor of 26076?
False
Is 199452 a multiple of 22?
True
Is 1095660 a multiple of 30?
True
Does 1673 divide 11295165?
False
Is 162978 a multiple of 46?
True
Does 101 divide 839395?
False
Is 729800 a multiple of 41?
True
Is 12549016 a multiple of 19?
False
Is 4981868 a multiple of 59?
False
Is 102705 a multiple of 150?
False
Does 31 divide 92243?
False
Is 91400 a multiple of 8?
True
Is 6065282 a multiple of 530?
False
Is 12 a factor of 9843156?
True
Does 1905 divide 7090410?
True
Is 35 a factor of 5965470?
True
Is 14142576 a multiple of 147?
True
Is 3 a factor of 11841?
True
Is 875765 a multiple of 221?
False
Is 151770 a multiple of 30?
True
Is 322541 a multiple of 17?
True
Is 10678 a multiple of 228?
False
Is 107185 a multiple of 221?
True
Is 14 a factor of 627326?
True
Is 108116 a multiple of 3?
False
Is 26 a factor of 224458?
True
Does 53 divide 71669?
False
Does 127 divide 175489?
False
Does 32 divide 826528?
True
Is 64 a factor of 168848?
False
Is 142467 a multiple of 281?
True
Is 89 a factor of 6894029?
True
Is 139 a factor of 118567?
True
Does 19 divide 150499?
True
Is 2 a factor of 1000?
True
Is 2472470 a multiple of 130?
True
Is 53494 a multiple of 172?
False
Is 13 a factor of 4453436?
True
Is 2136289 a multiple of 14?
False
Does 88 divide 370656?
True
Is 326 a factor of 14394204?
True
Is 318300 a multiple of 100?
True
Is 814 a factor of 18247473?
False
Is 1202850 a multiple of 810?
True
Is 142413 a multiple of 37?
True
Does 137 divide 224132?
True
Does 665 divide 6722641?
False
Does 65 divide 4801925?
False
Does 742 divide 1356376?
True
Is 34 a factor of 160616?
True
Is 1713432 a multiple of 12?
True
Is 481399 even?
False
Is 849877 a multiple of 56?
False
Is 4764953 a multiple of 16?
False
Does 148 divide 727720?
False
Does 50 divide 176050?
True
Is 2 a factor of 207455?
False
Is 2518934 a multiple of 20?
False
Does 283 divide 646655?
True
Is 115245 a multiple of 15?
True
Is 6 a factor of 4588482?
True
Is 2178 a multiple of 363?
True
Is 60982 a multiple of 3?
False
Is 28 a factor of 52619?
False
Does 22 divide 348982?
False
Is 30002 a multiple of 26?
False
Does 82 divide 11558720?
True
Does 888 divide 647352?
True
Is 2333925 a multiple of 1035?
True
Is 47 a factor of 264657?
True
Is 906559 a multiple of 64?
False
Is 388215 a multiple of 10?
False
Is 218 a factor of 127353?
False
Does 850 divide 1526338?
False
Is 3749 a multiple of 23?
True
Does 2 divide 3508?
True
Is 1410632 a multiple of 4?
True
Is 44 a factor of 124472?
False
Is 2593932 a multiple of 51?
False
Is 412846 a multiple of 14?
True
Does 251 divide 87923?
False
Is 27842 even?
True
Is 1524930 a multiple of 10?
True
Is 625 a factor of 393125?
True
Is 37095 a multiple of 127?
False
Does 231 divide 1140216?
True
Does 4 divide 30135?
False
Is 60 a factor of 1465831?
False
Does 31 divide 45759?
False
Is 155 a factor of 284580?
True
Is 66458 a multiple of 164?
False
Does 92 divide 89516?
True
Does 498 divide 229578?
True
Does 33 divide 1047108?
False
Is 105 a factor of 211053?
False
Is 156893 a multiple of 35?
False
Is 1446602 a multiple of 53?
False
Is 48424 a multiple of 3?
False
Is 26 a factor of 604691?
False
Does 16 divide 1649571?
False
Does 28 divide 323347?
False
Is 3777986 a multiple of 265?
False
Does 7 divide 56091?
True
Is 10 a factor of 2907328?
False
Does 37 divide 157065?
True
Is 19897238 a multiple of 13?
False
Does 4 divide 132736?
True
Does 110 divide 1169960?
True
Does 84 divide 2165184?
True
Is 3240081 a multiple of 27?
True
Is 343354 a multiple of 122?
False
Is 185138 | {
"pile_set_name": "DM Mathematics"
} |
the common denominator of g and 29/7.
63
Suppose -364 = -5*v - 34. Suppose 71 = d + 3*y, -4*d = -3*d + 2*y - v. Let x = d - 38. Calculate the smallest common multiple of x and 14.
126
Let i be (-2)/(-3) + (-16)/(-3). Calculate the least common multiple of 27/i + (-3)/6 and 6.
12
Suppose z + 104 = 3*z. What is the lowest common multiple of 8 and (-2)/5 - z/(-5)?
40
What is the common denominator of 12/(-30)*-53*(-5)/(-6) and 8/27?
27
Let x = 536 + -797. Let a = x + 2597/10. What is the common denominator of 1/9 and a?
90
Calculate the common denominator of 143/36 and ((-2)/240)/((-13)/2938).
180
Suppose -4*w - v + 21 = -42, 0 = -3*w + 5*v + 53. Suppose -6*j + 4*j + w = 0. What is the smallest common multiple of j and 3?
24
Calculate the common denominator of -36/7 and (-10)/(-5) - (-6)/(-8).
28
What is the smallest common multiple of 3*8/(-108) - (-128)/9 and 4?
28
Let q = 36659/6 - 6126. Find the common denominator of -1/18 and q.
18
Let g = -1/4429 + -252445/35432. Calculate the common denominator of g and 69/70.
280
Let x be (0 - -2) + -4 + 4. Let l = 4 - 3. What is the common denominator of l/x + 75/(-8) and -17/32?
32
Let x = 1 - 2. Let p(a) = -10*a**3 - a**2 + 1. Calculate the lowest common multiple of p(x) and 22.
110
What is the common denominator of 85/222 and 10/12*56/12?
666
Let a be 4/3*171/6. What is the lowest common multiple of 399/a*2/3 and 5?
35
What is the common denominator of 248/63 + (-12)/54 and 97/8?
56
Let l = 9/50 + 939/200. Let i = -2/12487 - -1785653/74922. What is the common denominator of l and i?
24
Let x = -21 - -24. Let h(b) = -2*b - 1. Calculate the least common multiple of h(-4) and x.
21
Suppose 150 = 7*q + 24. Let m = -18 + 38. What is the smallest common multiple of m and q?
180
Suppose -4*t - 24 = -8*t. Calculate the least common multiple of 2 and t.
6
Suppose 1 + 44 = 3*k. Let t = k + -3. Calculate the smallest common multiple of 4/6 + (-40)/(-3) and t.
84
Suppose 4*t = 3*k + 12, 7 = 3*t + k - 2. Suppose -3*c - 1 = 2*f - 0*c, 0 = 4*f + 5*c + 1. Calculate the smallest common multiple of t and f.
3
Let y be (-19)/(-4) - (-2)/8. Suppose -y = -q + 1. Suppose 34 = 4*i - 5*a, 3*a + 5 + 19 = 3*i. What is the lowest common multiple of i and q?
6
Suppose -2*y = 2*y - 8. Calculate the lowest common multiple of 1 and y.
2
Let v(r) = -r**3 - r**2 + 2. Let z be v(-2). Suppose -14 = -4*q + z. Suppose 2*l + 3*l = q. What is the least common multiple of 1 and l?
1
Let g(b) = b**3 + 5*b**2 - 9*b - 4. Let l(i) = -6*i - 8. What is the smallest common multiple of l(-2) and g(-6)?
28
Suppose 2*p = 5*s + 31, 0 = 5*p - 4*s + 5*s - 10. Suppose -4*l = h - 71, l + 3*h - 69 = -p*l. Calculate the smallest common multiple of 18 and l.
18
Let q = -42367/8800 + -3/800. Let f = -11556/7 - -30426962/18431. Let r = f + 73718/7899. Calculate the common denominator of q and r.
33
Let n = -45717/8 + 5724. Find the common denominator of (-23)/(-16)*-2 + -1 and n.
8
Let m be (-3 - 1)/(-1*2). What is the lowest common multiple of 2/(-8) - 58/(-8) and 6 - (0 + 0 - m)?
56
Suppose -3*d = d - 52. Let a(o) = o**2 - 11*o - 19. Calculate the least common multiple of a(d) and 2.
14
Let n be 3/(-3) + 37/(-28). Let h = -23/21 + n. Calculate the common denominator of 37/16 and h.
48
Let u(l) = l**3 - 6*l**2 + 3. Let s(p) = 5*p**3 - p. Let n be s(-1). Let o(v) = -2*v + 3. What is the smallest common multiple of u(6) and o(n)?
33
Suppose 0 = -5*l + 71 - 11. What is the smallest common multiple of l and 27?
108
Suppose 5*r - 10 = 0, 2*u - 146 = 5*r + 50. Let j = 929/9 - u. What is the common denominator of j and -16/5?
45
Let z = 3 - -2. Suppose m - 195 = 5*j - m, 0 = -z*m. Find the common denominator of -3 - 1/16*j and -17/22.
176
Suppose r + 37 = -4*n - 28, 5*n + 216 = -4*r. Let c be r/((-1)/(-1) - 0). Calculate the common denominator of -107/10 and (-2)/(-3) + c/(-48).
80
Let b = 136954/25 - 5477. Find the common denominator of -115/6 and b.
150
Let j(l) = -8*l**3 - 3*l**2 + 4*l + 10. What is the smallest common multiple of j(-2) and 3?
54
Suppose 4*l = -y - 2*y - 293, 3*l = 2*y - 224. What is the common denominator of -45/14 and l/10*(-20)/(-24)?
42
Let m = -24 + 34. Suppose -3*n - x = x - 14, -3*n = 3*x - 18. Calculate the smallest common multiple of 82/4 - 1/n and m.
20
Suppose 4*m = -0*m - 8. Find the common denominator of 698/140 - m/(-7) and 19/4.
20
Let p be (591/(-45))/((-44)/(-12)). Let l = p + 12/5. Find the common denominator of -43/5 and l.
55
Let f = -4 - -9. Let p = f - -1. Calculate the smallest common multiple of (24/20)/(p/40) and 18.
72
Suppose 6*l - 14 = 16. Calculate the lowest common multiple of 10 and l.
10
Suppose 0 = 3*u + 2 - 17, -5*h + 5 = -3*u. Let n(a) = -87*a + 267. Calculate the least common multiple of h/(-10) - 224/(-10) and n(3).
66
Let f be (16 - 3 - 2)*-109. Let g = 3547/3 + f. Calculate the common denominator of g and 40/(-6)*27/(-16).
12
Let h = 5005/306 - 330/17. Find the common denominator of h and -5/21.
126
Let g = 166529/18 - 9247. Find the common denominator of -35/22 and g.
198
Let k(w) = w**3 + 9*w**2 + 8*w + 2. Let n be k(-8). Let j = 1525/21 + -443/6. What is the common denominator of 7/(-6) - n - 2 and j?
42
Suppose 3*x = -2*w + w + 64, 2*x = -4*w + 36. What is the least common multiple of 4 and x?
44
Let o = 5160544889/879824260 + 866/330761. Let c = 162/133 - o. What is the common denominator of c and 27/4*(-3)/(126/(-12))?
140
Let u = 7 + -1. Suppose -3*b - 14 = -4*w - u*b, -b = -4*w + 22. Let z(s) = 5*s - 3. Calculate the least common multiple of z(2) and w.
35
What is the common denominator of 115/12 and 1 + (4 - 90/(-8))?
12
Suppose 0 = 12*i + 36 - 372. What is the least common multiple of 44 and i?
308
What is the common denominator of (10/18)/(5/(-195)) and 157/78?
78
Let g = -10 - -12. Suppose -t = -5*t + 4. What is the lowest common multiple of g and t?
2
Let q = 12 + -9. Find the common denominator of ((-11)/q)/(14/6) and (-366)/(-16)*(-4)/(-6).
28
Let m = 7 - 10. Calculate the smallest common multiple of (18/(-4))/(m/4) and 16.
48
Let k be (10/(-6))/((-70)/84). Suppose 2*f + 2 = -i, 0*f + 11 = 3*f - 2*i. Calculate the lowest common multiple of (0 - f/k)*-12 and 3.
6
Suppose -127 = -4*b + 101. Suppose -5*s - 2 = -b. What is the least common multiple of s and 3?
33
What is the common denominator of (-2)/(-3 + 1260/436) and 7/30?
30
Suppose -2*o + w + 14 = 2*o, -5*w + 2 = -2*o. Let v = o + -7. Let c = v + 5. What is the lowest common multiple of c and 16?
16
Let m = 12 - -8. Let g(i) be the first derivative of -i**2/2 - 7*i + 2. What is the lowest common multiple of g(-9) and m?
20
Let x(w) = -w**3 + 12*w**2 + 14*w - 11. What is the lowest common multiple of 3 and x(13)?
6
Suppose -7*x = -68 - 44. Calculate the smallest common multiple of x and 6.
48
Let o = -7737 + 154781/20. What is the common denominator of -79/12 and o?
60
Suppose -1 + 8 = -h. Let u(p) = -p - 17. Let y be u(h). Let j = y + 18. What is the smallest common multiple of j and 12?
24
Let h be ((-8)/(-12))/(2/108). Suppose v + 4*w - h = -4*v, -v = -w. What is the smallest common multiple of v and 8?
8
Let u = 2 - -3. Suppose -t = -1, -b - 27 = -u*b - 3*t. Calculate the smallest common multiple of b and 3.
6
Suppose -2*i - 3 + 20 = -3*m, 32 = 5*i - 4*m. Let t = i - 3. Let a(h) = 11*h**2 + 2*h - 1. What is the smallest common multiple of 16 and a(t)?
48
Let f(m) = 2 + 5*m - 7*m + 3*m. Let h = -18 - -25. Calculate the lowest common multiple of h and f(4).
42
Let u = -244/3 + 58. Calculate the common denominator of 3/22 and u.
66
Let h(s) = 2*s + 8. Let p be h(-7). Let o be p/4*32/(-3). Let b = 24 - o. Calculate the least common multiple of b and 10.
40
Suppose -380 + 3180 = -5*l. Find the common denominator of 24/10*l/(-63) and 29/2.
6
Calculate the common denominator of (-1658)/(-168) + (-4)/14 and 47/16.
48
Let x be 3*(-1)/1*-1. Suppose 2*i - 7 = x. What is the lowest common multiple of 5 and i?
5
Let o = -18976 + 303711/16. Find the common denominator of 2/(-2) + 3 + (-214)/(-12) and o.
48
Let s = -54 - -112. Suppose 3*k - s = -4*t, -4*k + 72 = -t + 5*t. Calculate the smallest common multiple of ((-3)/6)/((-1)/16) and k.
56
What is the common denominator of ((48/5)/3)/((-4)/(-14)) and -87/50?
50
Calculate the common denominator o | {
"pile_set_name": "DM Mathematics"
} |
-366014.85 - 3729.15. Let j = o - -369744.2999984. Let b = -0.3 + j. Round b to 6 dps.
-0.000002
Let x = -53 - -90. Let w = -16 - x. Let a = -54.17 - w. Round a to 1 dp.
-1.2
Let u = -7.1784 - -7.1. Let l = 2.92 + -3. Let t = u - l. Round t to three decimal places.
0.002
Let r = 10.982 - 5.62. Let n = 8.279 - r. Let z = -3 + n. What is z rounded to two decimal places?
-0.08
Let u = 1.9 - 1.2. Round u to one dp.
0.7
Let s = -53.4 + 46. Let y = s + -1. What is y rounded to the nearest integer?
-8
Let d = 0.03 + 2.97. Let m = d + -3.0000002. What is m rounded to six dps?
0
Let g(q) = q**3 - 2*q**2 - 2*q + 3. Let m be g(2). Let r = m - 6. Let j(f) = 23*f**3 + 2*f**2 + 2*f + 5. Let a be j(r). Round a to the nearest one thousand.
-8000
Suppose 6*z - 3*d + 2669985 = z, 0 = z + 3*d + 534015. What is z rounded to the nearest 100000?
-500000
Let t(r) = 4*r**2 + 17*r - 1. Let l be t(-13). Suppose -c - 2*d = l, -5*d - 1360 = 2*c + c. Round c to the nearest 100.
-500
Let u = -0.07 - -14.07. Let v = u + -13.9965. What is v rounded to 3 decimal places?
0.004
Let q = -28 + 16. Let w = q - -12.0000024. What is w rounded to six dps?
0.000002
Let z = 4 + -3.9749. What is z rounded to three decimal places?
0.025
Let l = 0.08 - 3.08. Let c = l - -2.999986. What is c rounded to six dps?
-0.000014
Let g = 2.8 + -38.8. Let y = g + 35.99918. Round y to 4 decimal places.
-0.0008
Let g = -1.1 - -1.099982. What is g rounded to five dps?
-0.00002
Let q = -52 + 91. Let c = q + -39.27. Let x = 0.27019 + c. What is x rounded to four dps?
0.0002
Let c = -23 + 22.2. Round c to 1 decimal place.
-0.8
Let v = 10 - 9. Let y be (-2)/v - 1*-2. Round y to three dps.
0
Suppose 5*r = 2*h - 744, -4*h - 3*r + 1444 = -2*r. What is h rounded to the nearest ten?
360
Let k = 0.078 + 39.922. Let t = 39.9981 - k. Let n = t + -0.001. Round n to 3 dps.
-0.003
Let y = -22.001 + 0.001. Let v = 0 + y. Let p = v + 22.000046. Round p to five decimal places.
0.00005
Let i = -1.51 + 0.01. Let d = -1.5000115 - i. What is d rounded to 6 dps?
-0.000012
Let q = 3.6065 + -3.6. Round q to three decimal places.
0.007
Let d = 42 - 33. Let i(b) be the first derivative of 100*b**3/3 - b**2/2 + 9*b + 1. Let z be i(d). Round z to the nearest 1000.
8000
Let f = 3715 - 1515. What is f rounded to the nearest 1000?
2000
Let m = -56708515285998 + 56708541865493.499917. Let c = m - 26579509. Let a = -13.5 - c. What is a rounded to 5 decimal places?
0.00008
Let b = 76 + -118. Let r = 13 + b. Let k = 28.52 + r. Round k to one dp.
-0.5
Let v(h) = 18*h**2 + 32*h - 50. Let p be v(25). What is p rounded to the nearest 10000?
10000
Let x = 231.4 - 427.7. Let t = -208 - x. Round t to the nearest integer.
-12
Suppose -c = 3*c + 500. Let y = c - -25. Let l be y/(-3)*10*33. What is l rounded to the nearest 10000?
10000
Let x = -0.008722 + 1.008702. Let m = -1 + x. What is m rounded to 5 decimal places?
-0.00002
Let m be 15 - 2/4*-2. Suppose m = 5*o + 6. Suppose -5*g = -b + 4700000, -o*g - 3*b = 954732 + 925268. Round g to the nearest one hundred thousand.
-900000
Let b = -154 - 18. Let a = b - -172.71. Round a to 1 decimal place.
0.7
Let r = -23 + 24. Suppose 4*j + 3 = -r, 4*c + 27595 = 5*j. What is c rounded to the nearest 1000?
-7000
Let h(f) = 1322*f + 10. Let k be h(-5). Round k to the nearest one thousand.
-7000
Let f = -199 - -108.4. Let d = -101 - f. Let a = d - -10.39923. What is a rounded to four dps?
-0.0008
Let r(d) = -10196*d - 20. Let k be r(5). Round k to the nearest 10000.
-50000
Let q = 0.001200421 + -0.0012. Round q to 7 dps.
0.0000004
Let n(h) = -h**2 + h - 9500. Let u be n(0). What is u rounded to the nearest one thousand?
-10000
Let b = 3.82 + -3.9095. Round b to 2 decimal places.
-0.09
Suppose -2*x = 2*x + 20. What is x rounded to the nearest integer?
-5
Let x = -0.134 - -0.13341. Round x to four dps.
-0.0006
Let q = -4441 + 4459.87. Let x = q + -18.9493. Let d = 0.08 + x. Round d to 3 decimal places.
0.001
Suppose -67556 - 153686 = -2*u. Suppose -k + 14006 = -3*h, h + u - 40619 = 5*k. Round k to the nearest ten thousand.
10000
Let q = 70 + -88.5. Let d = q + 0.5. Let x = d + 18.0128. Round x to 3 decimal places.
0.013
Suppose -d - 2*r = -9899992, 4*d - 3*r - 51361165 + 11761153 = 0. What is d rounded to the nearest 1000000?
10000000
Let t = -4 - -4.1. Let p = 0.036232 - -0.0638. Let i = t - p. Round i to 5 dps.
-0.00003
Let x be -1*2*(-2 + 1). Suppose 6*z = x*z - 1920000. Round z to the nearest one hundred thousand.
-500000
Let g = 20.3 - 37.6. Round g to zero decimal places.
-17
Let m(o) be the second derivative of 3755*o**4/6 + o**3/3 + o**2 + o. Let n be m(-2). Suppose -12762 = -4*q + n. What is q rounded to the nearest one thousand?
11000
Let r = 4200963558268.500081 - 4200958108894. Let p = r + -5449371. Let l = -3.5 + p. Round l to 5 dps.
0.00008
Let c = -101.55 - -33.02. Let a = 72.1 + c. What is a rounded to 1 dp?
3.6
Let v = -138 - -138.011. What is v rounded to 3 dps?
0.011
Let b(i) = i**3 + 6*i**2 + 3*i - 2. Let a be b(-3). Let r be a/6 + 1/3. Let g be -12240*(-2 - (-131)/r). What is g rounded to the nearest one hundred thousand?
-500000
Let v = 0.034 + 3.266. What is v rounded to 0 dps?
3
Let u(r) = 3*r**3 + 4*r**2 - 5*r + 3. Let p be u(-4). Let l be 7/(p/6)*1325. Round l to the nearest one hundred.
-500
Suppose 2*i = -5*a + 15 + 8, 2*a - 3*i + 6 = 0. Suppose 4*o - 4*n - 100012 = -0*n, a*o + 5*n = 74985. Round o to the nearest 10000.
30000
Let c(p) = -81433*p + 31. Let b be c(7). Round b to the nearest 100000.
-600000
Suppose -480644 = -2*s + 92182. Suppose -b + s = 956413. What is b rounded to the nearest 100000?
-700000
Let h = -1 - -3. Suppose -h*g + 8 = -4*m, -2*g - 2 = -3*m - 8. Suppose g = -0*q - 2*q + 110. Round q to the nearest ten.
60
Let h = -349 - -348.999999052. Round h to seven dps.
-0.0000009
Let n = -14 + 16.16. Let z = 1.2 - n. What is z rounded to 1 dp?
-1
Let o(f) = -f. Let p be o(-5). Suppose -3*b - 5*g = -1289 + 286, g = -p*b + 1701. Suppose -b = -h + 49. What is h rounded to the nearest 100?
400
Let o = 32 + -5. Let b be (4 + -1 - 1) + 16. Let n be (-4)/b + 48606/o. Round n to the nearest 1000.
2000
Let v = 0.0238 - -0.033. What is v rounded to 2 decimal places?
0.06
Let q = -1.844747 - 0.355311. Let m = q + 2.2. What is m rounded to five decimal places?
-0.00006
Suppose 2*f = -3*x + 10, -3*x + 5*x = -4*f - 4. Let c(y) = -17460*y**2 - 3 - 2 - x*y - 6141*y**2 + 0. Let p be c(-5). Round p to the nearest 100000.
-600000
Suppose 3*p - 11 = -2. Round p to the nearest ten.
0
Let u = 0.0355 - 0.8965. Let j = -46.959 + 47. Let f = j + u. What is f rounded to 1 decimal place?
-0.8
Let s = -45 + 45.00000042. Round s to 7 dps.
0.0000004
Let a = 4 + -4. Let q = -4.3 + a. Let s = -4.29999892 - q. Round s to 7 dps.
0.0000011
Let z = 71 - 71.00375. What is z rounded to 3 dps?
-0.004
Let y(j) be the third derivative of -1/12*j**4 + 1/3*j**3 + 0*j + 0 - 4/15*j**5 - j**2. Let l be y(2). Round l to the nearest ten.
-70
Suppose -2*v = -5*v. Suppose j - 32159 + 612159 = v. What is j rounded to the nearest 100000?
-600000
Suppose 0*p = 5*m + p + 996, 788 = -4*m - 3*p. What is m rounded to the nearest one hundred?
-200
Suppose 0 = 4*i - 35 + 11. Let m(b) = -8*b**2 + b + 2. Let p be m(i). What is p rounded to the nearest one hundred?
-300
Suppose -u - 3199996 = -2*v, -5*v + 7036681 = 3*u - 963331. What is v rounded to the nearest 1000000?
2000000
Let g = -6.3 - -6. Let u = 1 - 1.2. Let h = g - u. What is h rounded to 0 dps?
0
Let s = -0.72 - -0.667. Let p = -0.11222 - -0.05943. Let q = p - s. Round q to 4 decimal places.
0.0002
Suppose u - 2*u - 54 = 0. Let h be u*(64/4 + 4). What is h rounded to the nearest 100?
-1100
Let x = 0.62999 - 0.625. What is x rounded to three dps?
0.005
Let r = 77.98 + -79. Round r to one decimal place.
-1
Suppose 0 = 5*r - 5*k + k - 171, -2*k = r - 23. Let u = r + -18. Let z be 2 - 3 - u*2923. What is z rounded to the nearest 10000?
-40000
Let u = 0.047 + -0.203. What is u rounded to 2 decimal places?
-0.16
Let x = -113.98422 + 113.89. Let v = -0.1942225 - x. Let g = 0.1 + v. What is g rounded to six decimal places?
-0.000003
Let y = 16 + -17.25. Round y to one decimal place.
-1.3
Suppose -5*j + 2*j + 3*p = -58497, 0 = -5*j + 3*p + 97497. Round j to the nearest 1000 | {
"pile_set_name": "DM Mathematics"
} |
e w(-20). Let v(t) = -5*t - 102. Let c be v(y). Is 8 greater than or equal to c?
False
Suppose 4*q + 38*h = 41*h - 83, 4*h = 5*q + 105. Which is bigger: q or -88?
q
Let q = -1687.4 + 2429.4. Is 5 smaller than q?
True
Let p be (-175)/(-45) + -6 + 1. Let n = p - -4/9. Which is greater: 0.01 or n?
0.01
Let q(n) = 5*n**2 + n - 4. Let p(w) = 2*w**2 - w. Let l(o) = 3*p(o) - q(o). Let c(y) = y**3 - y + 1. Let g be c(0). Let m be l(g). Which is greater: m or 1/28?
m
Let h be 14/(-8)*(-100)/(-70)*(-2)/5. Which is greater: h or 22/2567?
h
Suppose -6360 = 2*y + 5*x, 3*x + 15919 = -5*y - 0*x. Let q be -1 + (-20)/(-35) + (-1360)/y. Which is smaller: q or -1?
-1
Let l be (-9603)/(-55) - (-9)/(-15). Let v = l + -96. Let a = v + -96. Which is smaller: -21 or a?
-21
Let y(j) = j**3 - 32*j**2 + 136*j - 8. Let f be y(27). Which is smaller: f or 98?
f
Suppose -j + 0 + 1 = 4*x, x + 9*j = 44. Which is greater: x or 2312?
2312
Suppose 21*i - 13*i = 0. Is -7049/2 >= i?
False
Let o be (2 - 0)/(4/10). Suppose o*w = 10, -a = -w + 6 + 4. Let i be 9/(-6)*(a/12 + -2). Is 4 at most i?
True
Let t = -81.03 + 46.06. Let v = -840 - -875. Let g = t + v. Which is bigger: 1/2 or g?
1/2
Let u = -120.62 - -1.62. Let v = u + 186. Let a = v + -73. Which is smaller: a or -1?
a
Let a = -314 + 325. Suppose -a*w = -w - 4*w. Which is smaller: 2/339 or w?
w
Suppose 224 = u - 4*a + 242, -3*u - 2*a = -16. Let c = 13/60 + 139/60. Is u at least c?
False
Let d be (-5795)/(-1930) - 5/(10/6). Let k be -4 + (-10 - -22) - 7. Which is greater: d or k?
k
Let i = -232 + 183. Let l = -46 - i. Which is greater: l or 1/5?
l
Let f = 29 - 29. Let n be -3 + -3 + (2 - f). Let x = -5/182 + -133/26. Is x <= n?
True
Let m be -1 + 20/25 + 30362/10. Suppose -23*h + m = -34*h. Is h less than or equal to -276?
True
Let k(l) = l**2 + 3*l - 2. Let d be k(-4). Let v(o) = -o**3 - 5*o**2 - 4*o + 7. Let y be v(-2). Let c be 2/(-18)*y/d. Is 3 less than or equal to c?
False
Suppose z - 6 = 90*t - 88*t, t = -12*z - 3. Which is bigger: 1/3366 or z?
1/3366
Let m be (0 - (-1)/(-1))/(2/254). Let k = m - -63. Do k and -64 have different values?
False
Let y(w) = 102*w - 5. Let n be y(1). Let j = n + -107. Let l = j - -52. Which is bigger: l or 43?
43
Suppose 16*p + 2*p - 216 = 0. Let d = -26 - -25. Which is bigger: p or d?
p
Let f = -38645 + 38642. Which is smaller: 4593 or f?
f
Let d = -63 + 66. Suppose d*y - 16 + 4 = 0. Suppose -5*g + 4*n - 2 + 1 = 0, -3 = -g + y*n. Are g and -2/9 equal?
False
Let w(s) be the second derivative of 1/12*s**4 + 12 + 5/3*s**3 - 2*s - 35/2*s**2. Let u be w(-13). Is u at least as big as 0?
True
Let b = -1072 - -1646. Let w be (-20)/5 + 10 + 4 + 563. Are w and b equal?
False
Suppose 0 = r + 2*r. Suppose 10 = 2*a - r*a. Suppose 40 = -a*j + 2*x - 25, 3*j + 2*x = -55. Are j and -15 non-equal?
False
Let s = -828 + 829. Let j be (11/((-330)/(-36)))/(1842/(-20)). Is s less than or equal to j?
False
Let c be (-5334)/27370 + 0 + 3/15. Which is greater: -1 or c?
c
Let j(z) = -3*z + 2*z - 3 + 5*z + z + 4*z**2. Let t be j(-2). Let v(s) = -s**2 + s. Let c be v(0). Which is greater: c or t?
t
Let u = 258 - 255. Suppose 0 = -b + 5*y + 43, u*y + 110 = 5*b - y. Which is bigger: 21 or b?
21
Let g = 13 - 16. Let u be (0 - 0)*g*(-2)/(-12). Which is smaller: 1/24 or u?
u
Let d = -122 - -154. Let o be ((-4)/(-42))/(d/(-240))*-3. Which is smaller: o or 3?
o
Suppose -3*y = 3*l - 2*l - 5, 4*l = 3*y + 20. Suppose 4*u - 7 = -t - y, 0 = -4*u + 4. Which is smaller: 2 or t?
2
Let z(d) = -d**2 - 4*d + 4. Let y be z(-6). Let p(m) be the third derivative of m**6/120 - 7*m**5/60 - 19*m**4/24 - m**3/3 + m**2 + 7. Let w be p(9). Is y < w?
False
Let v = 22677744703/130 + -174448259. Let p = -4069 - v. Are -1 and p non-equal?
True
Let t(k) = -11*k**3 + 17*k**2 - 41. Let f be t(5). Which is greater: -1981/2 or f?
-1981/2
Let y = 147102 - 279935100/1903. Let i = y + 9143/117986. Are -1 and i equal?
False
Let w(z) = 6*z + 12. Let g be w(0). Suppose 9*q - g*q - 3 = 0. Is -4/25 greater than or equal to q?
True
Let w = 3.8905 + -3.967. Do -1 and w have the same value?
False
Suppose 0 = 3*i - 29 - 1. Suppose -h = -4*b + 55, -b + 4*h = b - i. Let y be -2*b/9 + 3. Which is smaller: y or 0?
y
Let n(y) = y**3 - 33*y**2 + 81*y - 100. Let z be n(27). Which is greater: z or -2286?
-2286
Let v = -9129 + 9475. Is v greater than 353?
False
Let y = 35215771/3735 - 47143/5. Which is bigger: -1 or y?
y
Let d = 15029 - 1608105/107. Suppose 4*s + 2 = 6. Is d less than s?
True
Let w = -10 + 9.96. Let z = -69.066 + 46.066. Is w less than z?
False
Let o = 1/83663 + -167333/585641. Let a = -6226/9 - -691. Is o at most a?
False
Let h = -32.27 - -38.27. Which is greater: -0.03 or h?
h
Let y = 37 - 36. Let v be (-2)/8*-4 + y. Let l be 910/(-228) + v + 2. Which is smaller: 1 or l?
l
Let j = 2.2 + -14.2. Let v = 40 + j. Let f = v - 27. Which is smaller: -1/18 or f?
-1/18
Let g = 81007/1879896 - 1626/2701. Let b = g - -15/29. Let j = 27.2 + -27.2. Is j greater than or equal to b?
True
Let f = -27 + 25. Let b = f - 7. Let j = b + 6. Is -2/9 greater than or equal to j?
True
Suppose 2*o + 39 = -5*t, -5*t + 4*o + 1 = -4*t. Suppose -5*i + 99 - 39 = 0. Suppose 5*f + i = -28. Which is smaller: t or f?
f
Let u(a) = -19*a - 4. Suppose -8 = -6*z + 10*z. Let w be u(z). Let s = w + -42. Which is greater: -5 or s?
-5
Suppose 30*h + 529 + 153 = 82. Is -137 at least as big as h?
False
Suppose 7*d = 17*d - 25*d. Is d greater than or equal to 1/9373?
False
Let o be 0/(-6 + (6 - 2)). Let v(g) = -g**3 - g**2 + 2*g - 23. Let u be v(o). Suppose -f = -3*m - 70, 0 = -f - 2*f + 12. Which is bigger: u or m?
m
Let w be ((-545)/380 + 3 - 12/(-16)) + -2. Which is bigger: w or -25?
w
Let d = -444 - -420. Let y be 7 + d/8 + -63. Is y not equal to -62?
True
Let g be (330/(-12))/11 + -2 + 5. Which is smaller: g or -25/2?
-25/2
Let j = 35 - 132. Let h = -82 - j. Let u = h - 20. Is -0.05 <= u?
False
Let g = 2957176/65 - 45495. Let m = -13 - -12. Which is bigger: m or g?
g
Let q = 26 - 34. Let z = 19 - q. Let y = z - 28. Is y less than -1?
False
Let j = 96 + -97. Let i = 2063/48 - 128/3. Which is smaller: i or j?
j
Let p = 12.42 - -116.58. Which is smaller: p or 0.2?
0.2
Let o = -18894 + 132261/7. Does 16.4 = o?
False
Let z(j) = 8*j - 11. Suppose -1 - 14 = -5*v - 2*r, 0 = 3*v - 5*r + 22. Let p be z(v). Which is smaller: -8/15 or p?
p
Let c = 0 + 11. Suppose -13*b = -c*b - 60. Suppose 4*s - 2 + b = 0. Which is smaller: s or -56/9?
s
Let o = -39.06692 + 0.06692. Which is smaller: o or 3/8?
o
Let s = 559 + -553. Let l be 1*(-286)/(4 - s). Which is smaller: 141 or l?
141
Let r(k) = 6*k**3 - 11*k**2 + 110*k - 808. Let s be r(8). Are 2440 and s nonequal?
False
Let z = 23848/15 + -9583/6. Is -7 greater than z?
True
Suppose 5*l = -126 - 354. Let u be (9 - 0)*4*(-8)/l. Suppose -k - 7 = -u. Which is smaller: k or -19/6?
k
Let w(j) = -j**3 + 7*j**2 - 10*j + 26. Let s be w(6). Suppose 3*d + 13 = t, -s*t - 21*d + 8 = -18*d. Which is smaller: 67/12 or t?
67/12
Let u be 10 + -3 + (-2 + 3)*-6. Which is smaller: u or 4/247?
4/247
Let w = -22 - -13. Let q = -7 - w. Let m = -1.583 + -0.117. Which is bigger: q or m?
q
Suppose 4*k - 143 + 132 = 5*w, k - 9 = -5*w. Which is bigger: -26/125 or w?
w
Let x = 2221.2 - 2491. Let f = -247 - x. Let b = 23 - f. Which is bigger: b or -4/3?
b
Suppose -2493*p + 2483*p = 0. Is -17/16 not equal to p?
True
Let l be (3/50)/(2 + (-374)/184). Let d = l - -1967/50. Are d and 38 non-equal?
True
Let a be (-3460729)/(-8022) - (-1 - -3)/(-12). Which is smaller: a or 431?
431
Let r be (8/144306)/(216/(-972)). Is 1 != r?
True
Let b = -5200 - -5796. Which is smaller: b or 1786/3?
1786/3
Let w be 10/20*(104/18 + -6). Let t be 1/1 - (2 + -1). Are w and t nonequal?
True
Suppose -26*n + 5*n + 756 = 0. Let x(c) = c**3 - 33*c**2 - 106*c - 65. Let t be x(n). Is 11 less than t?
False
Suppose 5*g = -0*m + 4*m + 171, -m - 3*g = 64. Which is smaller: m or -39?
m
Let o(b) = -b**2 + 16*b + 91. Let d be o(21). Suppose 2*z - 23 = -4*f - z, 5*z = 25. Let x be -11 + (0 + f)/(-1). Is x not equal to d?
True
Let j(d) = 3*d**2 + 61*d + 484. Let p be j(-20). Is 465 less than or equal to p?
False
Let s = -0.0336 + 20.0336. Let z = s + -20. Which is greater: -6/55 or z?
z
Let l(d) = 17*d**2 - 3*d - 1. Let c be l(-1). Le | {
"pile_set_name": "DM Mathematics"
} |
a a prime number?
False
Let f = 4167 + -2218. Is f a composite number?
False
Is (5*-2)/((-2)/23) prime?
False
Suppose 5*k = 6*k - 415. Suppose k - 1120 = -5*w. Is w prime?
False
Let w = -8 + 7. Is (-170)/(-8) - w/(-4) prime?
False
Suppose -7165 - 3412 = -7*q. Is q a prime number?
True
Suppose -78 = -2*t + u - 12, 4*t - 132 = -u. Is t prime?
False
Suppose 5*h + 63 - 308 = 0. Is h a composite number?
True
Let u(b) = 9*b**2. Let r be u(7). Suppose 0 = 3*d - 33 + r. Let s = d + 242. Is s composite?
True
Let f = 1722 - 166. Suppose -i + 5*i = f. Suppose 2*z + 4*v = 5*v + 156, i = 5*z - 2*v. Is z a prime number?
False
Let y(o) be the first derivative of 6*o**3 + o**2/2 - 2*o + 2. Is y(-3) a prime number?
True
Suppose -v + 2*a = -357, v - 2*v = -a - 356. Is v composite?
True
Let d be 0 - (-3)/1 - 2. Let w(v) = 82*v**2 + v. Is w(d) prime?
True
Let w(b) be the first derivative of 5*b**3/3 - 4*b**2 + 8*b - 4. Is w(5) a prime number?
False
Is 5/((-10)/(-3704)) - -1 prime?
False
Suppose -4*d = d. Suppose -45 = -y - 4*c, d = y + 2*y - 5*c - 101. Is y prime?
True
Let z(q) = q**3 + q**2 - q - 1. Suppose -5 = -3*b - 8. Let u be z(b). Suppose u*f = 5*f - 485. Is f a prime number?
True
Let w = 98 + -52. Let q = w + -27. Is q a composite number?
False
Is (-1338)/4*8/(-12) a composite number?
False
Is (-1 + -2)*335/(-3) a composite number?
True
Let j(r) be the third derivative of 3*r**4/2 - r**3/3 + 2*r**2. Is j(5) prime?
False
Is 61 + 1 + 0 + -3 a prime number?
True
Let d(v) = -5 + 106*v + 5 - 36*v. Let c be d(1). Suppose r - 4*x - 21 = c, 4*r - 3*x = 364. Is r prime?
False
Let v(m) = m**2 - 5*m + 1. Let r be v(5). Let s(j) = 276*j - 1. Let x be s(r). Suppose x = -3*h + 8*h. Is h composite?
True
Let v(n) = -24*n - 3. Let s be v(5). Let w = s - -451. Let h = 483 - w. Is h a prime number?
False
Let w(q) = q - 1. Suppose 4*x + x - 1 = -3*k, -3*x + 3 = k. Let y be w(x). Is y/(123/(-63) - -2) prime?
False
Suppose 4*g + 12 = 2*v, -2*v - g = -4*g - 9. Suppose v = -3*i + 7 + 14. Is i composite?
False
Let p(c) = 12*c**3 - c**2 - c - 4. Let n be p(-3). Let m = 521 + n. Is m a prime number?
False
Let f = 1 + 1. Let t be 4*(-1 + 2 - 0). Suppose -f*x = -4*v, -t*x + 20 = -4*v - 0*v. Is x prime?
False
Let a(k) = -k**3 - 4*k**2 - 1. Let r be a(-4). Let j(l) be the second derivative of -35*l**3 + l**2/2 + 3*l. Is j(r) prime?
True
Suppose 3*l - 345 = 8*l. Suppose 0*f - 220 = 5*f. Let i = f - l. Is i composite?
True
Let c = -5322 - -7793. Is c prime?
False
Let c be 26 - (0 + 1 + -2). Let a(o) = -o**2 + 8*o - 5. Let h be a(5). Let v = h + c. Is v composite?
False
Suppose c - 773 = -4*g, 129 = 2*g + 3*c - 260. Suppose 5*x - 63 = -3*r + g, -5*x = 5*r - 410. Is r prime?
False
Let s = -945 - -1584. Suppose -s = -5*h + 1226. Is h a prime number?
True
Suppose 0 = -2*o + 4*m + 1916 + 406, -3*o - m + 3448 = 0. Is o prime?
True
Let u = 3325 - 1674. Is u a composite number?
True
Suppose -571 = -b - 30. Is b a composite number?
False
Let t = 2014 - 1348. Suppose -k = 2*k - t. Suppose 0 = 2*w - 32 - k. Is w prime?
True
Suppose 5*b = -g + 138, -2*g - 2*b = b - 269. Suppose -u + g = -0*u. Is u composite?
True
Suppose 5 = -5*j, 0 = n - 3*n - 5*j + 1265. Is n composite?
True
Let f(u) = -1406*u - 5. Is f(-2) composite?
True
Suppose -144 = -2*o - 2*o. Is 3362/18 - (-8)/o a prime number?
False
Let y = -179 - -255. Suppose -k = 3*h + k - y, 0 = 4*k - 20. Is h composite?
True
Let u(j) = -2 + 6*j + 10*j - 5*j. Is u(5) prime?
True
Let d(o) = -o**3 + 10*o**2 - 6*o - 1. Let l be d(6). Let s = 184 - l. Let k = -39 + s. Is k a prime number?
False
Let u = 16 + -14. Suppose u*a = 3*a - 86. Is a a prime number?
False
Let k = 11539 + -8028. Is k a composite number?
False
Let v(y) = -y**3 + 10*y**2 - y + 8. Let s be v(9). Let w = s - 33. Is w a composite number?
False
Let m(z) be the third derivative of z**5/60 - 7*z**4/24 + 3*z**3/2 - 2*z**2. Let c be m(6). Suppose c*y = 5*y - 18. Is y a composite number?
True
Let i(b) = -5*b**2 - b - 1. Let n be i(-4). Let p = 10 - n. Is p a composite number?
True
Let m(l) = -2*l + 1. Let f be m(-2). Let w(y) = y**3 - 5*y**2 - y - 3. Let i be w(f). Let c(j) = j**3 + 10*j**2 + 9*j - 3. Is c(i) composite?
False
Let l = -1 - 15. Let f = l - -29. Suppose 4*d - f = 43. Is d prime?
False
Suppose -2*y + 1645 = 5*w, -2*w - 321 = -3*w - 2*y. Is w a prime number?
True
Suppose -o - x - 7 = 0, o - 2*x - 4 + 17 = 0. Let v = o + 24. Is v prime?
False
Suppose 5*x - 107 = 48. Is x a composite number?
False
Let r be 6 - (2 - (-3 - -4)). Suppose 4*w = r*n - 4, 0 = -5*w - 2*n - 0*n + 28. Suppose w*h - 11 = 41. Is h composite?
False
Is (-266)/(-8) + 3/(-12) composite?
True
Let t(x) = -x**2 + 10 + 4*x - 10. Let y be t(3). Suppose 0 = -y*q - 9 + 120. Is q prime?
True
Let g(u) = 12*u**2 + 13*u + 15. Is g(-8) prime?
False
Let a(h) be the third derivative of -h**6/120 - 11*h**5/60 - h**4/8 + h**3/6 - 2*h**2. Is a(-11) a composite number?
True
Let f(v) = v**3 + 6*v**2 + 6*v + 7. Let s be f(-5). Suppose -4*m + 1 = 2*a - 3, -2*m + s = -5*a. Is (-2)/((-243)/(-249) - m) prime?
True
Let t(x) = 41*x + 7. Is t(6) a prime number?
False
Suppose 2*d + 5*u + 79 = 0, -80 = 3*d + 5*u + 36. Is 2/((-8)/d)*4 prime?
True
Let y be -1 - (-5)/((-5)/(-22)). Suppose y = -3*v + 51. Suppose -v = -2*p + s + 3*s, -3*p + 17 = -4*s. Is p a prime number?
True
Suppose 3*t + 15 = 4*t. Suppose -b + t = 2*b. Suppose 0 = -5*c - b*f + 195, -c + 5*f + 20 = -7. Is c a composite number?
False
Let n(z) = -52*z - 3. Let s be n(-3). Suppose 2*j - 479 = -s. Is j a prime number?
True
Suppose -g - 4*g = 3*q - 683, 450 = 2*q + 2*g. Is q a composite number?
True
Suppose 0 = y - 1 + 5, -5*v + 4*y = -41. Suppose -4*d + 200 = -4*m, v*d - 35 - 218 = 4*m. Is d a prime number?
True
Suppose 2*q - 5*c + 3*c - 2 = 0, 2*c + 14 = -q. Is (-3 + 8 + q)*191 a composite number?
False
Let m(y) = -y**2 + 3*y + 4. Let x be m(-4). Let k = 50 + x. Is k prime?
False
Suppose 3*l = 2*l + 1741. Is l prime?
True
Suppose 4*b = 5*b - 1471. Is b composite?
False
Let r = 6 + -4. Is (-189)/(-4) - r/8 a prime number?
True
Let l(y) = y**3 - 5*y**2 - 3*y + 6. Is l(7) a prime number?
True
Let f = -98 + 143. Suppose -f = -5*a - 15. Is a a composite number?
True
Suppose -2*f + 1446 = -0*f - 4*o, 4*o = -5*f + 3671. Let p = 392 - f. Is p*((-1)/3)/1 a prime number?
True
Let x(z) = -z**3 - 2*z**2 + 2. Let o be x(-2). Suppose -o*f = -3*u - 0 + 6, 4*u - 5*f - 1 = 0. Let r(q) = 23*q - 3. Is r(u) prime?
True
Suppose 2*k + 3*h - 13625 = 0, 15 + 5 = 4*h. Is k a prime number?
False
Let s = 7 + -11. Let p = s + 8. Is (-705)/(-9) + p/6 prime?
True
Let y = -12 - -22. Is (5/(y/148))/2 a prime number?
True
Let m(c) be the second derivative of -1/20*c**5 + 1/2*c**3 - 1/4*c**4 - 2*c + 1/2*c**2 + 0. Is m(-6) a composite number?
True
Is 5065/2 + ((-1)/(-2) - 2) prime?
True
Suppose -4*i + 3*m = 20, 4*i - 14 = i - 5*m. Let v(l) = 263*l**2 + l - 1. Is v(i) a composite number?
False
Let m = -12 + 17. Is (-22)/m*(4 + -9) a composite number?
True
Suppose 0 = 354*t - 357*t + 6519. Is t a composite number?
True
Let z(a) = -54*a - 39. Is z(-8) composite?
True
Suppose -p + 5*p = 892. Is p a composite number?
False
Is -221*(2 + 2 + -3)/(-1) composite?
True
Suppose 3 + 1 = 2*j. Suppose -2*c + 1 = o - 6*o, -3*c = -j*o - 7. Suppose 0*i - c*i = -66. Is i a prime number?
False
Suppose -2*x - 13 = -5*d, 3*d + 9 = -4*x + x. Let h = -4 - x. Suppose 0 = -h*m - m + 21. Is m a prime number?
False
Let o = 402 - 257. Is o a composite number?
True
Let m(z) = 287*z - 1. Let h be m(1). Let i be (-1)/(-4) - h/(-8). Suppose -5*w - i = -131. Is w a prime number?
True
Let g = -3 + 10. Suppose 638 = g*q - 5*q. Is q a prime number?
False
Suppose 0 = -3*i + 7*i - 7036. Is i composite?
False
Suppose 7*u - 3*u + 216 = 0. Let d = u - -137. Is d prime?
True
Let j be (-852)/(-9)*9/6. Let r be (0 - 2/2) + 3. Suppose r*f = -0*f + j. Is f prime?
True
Suppose 0*w + 3*w = 3. Is (-4)/((-3)/(-9) - w) a composite number?
True
Suppose 5*i + 17 = -t + 5, -5*i - 5*t = 0. Let r be (-44)/i + 2/(-3). Let d = 12 + r. Is d a prime number?
False
Let d = -199 - -386. Is d composite?
True
Let y be (12/9)/(-4)*6. Let k = y - -2. Suppose k = 5*m - 3*n - 1184, 5*n = 3*m + 2*n - 714. Is m prime?
False
Let w = 466 - 108. Is w a prime number?
False
Suppose -7*b | {
"pile_set_name": "DM Mathematics"
} |
r be u(9). Give k(r).
-1
Let z(h) be the first derivative of h**2 - h - 81. What is z(-1)?
-3
Suppose -2*r - 33 = -5*o, -3*r + 3*o - 40 + 4 = 0. Let z(c) = -c - 16. What is z(r)?
-7
Let l(o) = 85 - 85 + 5*o. Suppose -4*w - 10 = 5*d, d - 2*w + 0*w - 12 = 0. Give l(d).
10
Let m(h) be the first derivative of -25*h**2/2 - 2*h - 31. Determine m(-2).
48
Let p(t) = 1 - t**2 + 89*t - 88*t - 1. Give p(3).
-6
Let i(b) be the third derivative of b**7/840 - b**6/240 + b**5/60 - 31*b**4/24 + 23*b**2. Let t(l) be the second derivative of i(l). What is t(2)?
8
Let v be 0/((18 - -6)/(-12)). Let f(l) = l - 42. Give f(v).
-42
Let d(z) = z**2 - 4*z + 5. Let l = -35 + 34. Let y be (2 + (2 - l))/1. Determine d(y).
10
Let k(s) be the first derivative of s**3/3 + 4*s**2 + 4*s - 68. Calculate k(-10).
24
Suppose 0 = 2*o + 2*o + 8. Let a be 1*(0/(-3) - o). Let q(v) = 2*v + v**2 + 2*v**a - 7*v + v + 2. Give q(2).
6
Suppose 9*c - 4*c - 45 = 0. Suppose c*z = 4*z + 3*g + 90, -4*z + 3*g = -75. Suppose 0*v = 3*v - z. Let x(l) = -2*l**2 + 6*l + 6. Determine x(v).
-14
Let s(h) = -h**3 + 9*h**2 + h - 5. Let p be s(9). Let r be (-6)/p + 3/2. Let c(o) = -4*o - 4 + r*o - 3*o + 5*o. Give c(-5).
6
Let g(x) = x - 8. Suppose 4*d - v - v - 48 = 0, -2*d - 2*v = -30. Calculate g(d).
5
Let r = -18 - -12. Let t = r + 2. Let a(v) = v**3 - 2*v**3 + 5 - 3*v - 34*v**2 + 29*v**2. Give a(t).
1
Let i = -66 + 102. Suppose k = -3*z - 2*z + 3, 4*k - 4*z + i = 0. Let w(m) = 4 + 2*m + 3 + 3. Calculate w(k).
-4
Let x(q) = 5*q - 16*q + 2*q. What is x(-1)?
9
Let t(f) = -f**2 + 9*f + 1. Let q be (-64 - -70)*(0 - 5/(-3)). Give t(q).
-9
Let j(x) be the first derivative of -x**3/3 - 3*x**2/2 - 3*x + 377. Determine j(-5).
-13
Let j = -207 + 209. Let u(o) = 2*o**2 + 4*o - 5. Determine u(j).
11
Suppose -j - 32 = -2*y, 2*y = -3*j - 2*y - 66. Let q = -19 - j. Let i(n) = -2*n + n + 2 - 5. Calculate i(q).
-10
Suppose 100 = 4*a + 24. Let w = 20 - a. Let f(g) = -4*g - 2 + 5*g**2 + g**3 + w - 5. Calculate f(-5).
14
Let m = 160 + -157. Let b(o) = 0 + 11 - 1 - m*o - 3 + o**2. Determine b(5).
17
Let v(n) = -9*n + 15. Let i(o) = 4*o - 7. Suppose 4 = -w + 1. Let l(x) = w*v(x) - 7*i(x). Suppose -88*f = -93*f. What is l(f)?
4
Let t(f) = f**3 + 7*f**2 + 6*f + 4. Let m = -9 + 11. Suppose -28 = 5*g + m. What is t(g)?
4
Let l(i) = i**2 + 4*i + 7. Let t be l(-3). Suppose 5*r = t*y - 15, y + 3*y + 3*r + 9 = 0. Let q(c) = -c**2 + 2. Give q(y).
2
Let b = -1917 + 1912. Let j(g) = -3*g - 6. Give j(b).
9
Let u(s) = -s**3 - 4*s**2 + s - 24. Let g be -25*4/(-140)*-7. What is u(g)?
-4
Let q(g) be the third derivative of -g**6/12 + g**5/60 + g**4/12 + g**3/6 - 7*g**2 + 1. What is q(-1)?
10
Let i(o) = -2*o**2 - 20*o - 11. Let m be (-7 + (-272)/(-32))/((-2)/12). Determine i(m).
7
Let r(y) = 5*y**3 - 4*y**2 + 20*y + 98. Let j(t) = -9*t**3 + 8*t**2 - 39*t - 182. Let n(s) = -6*j(s) - 11*r(s). Determine n(-6).
2
Let b(r) = -13*r**2 + r - 1. Let s = -110 + 111. Give b(s).
-13
Let k(q) = -q**3 - 4*q**2 - 2*q - 1. Let l = 0 + -4. Let i be k(l). Let o(u) = 7 - 3*u**3 + i*u + 0*u**3 + 8*u**2 + 4*u**3. What is o(-7)?
7
Let d be 2 + -15*(-15)/9. Let s(o) = -o**2 + 27*o. Give s(d).
0
Let m be (-1)/(-4)*0 - 9. Let d(k) = -10 + 0 - 2*k - 2. Determine d(m).
6
Let a(y) = y + 19. Let i be a(-9). Let l(x) = x**3 - 10*x**2 + 3. Give l(i).
3
Let l(g) = 36*g**3 + g**2 - 1. Let r(f) = 4*f + 9. Let b be r(-2). Calculate l(b).
36
Let u(g) = -g**2 - 8*g - 5. Let k = 50 - 55. Calculate u(k).
10
Let i(v) = -12*v + 6. Let p(w) = -24*w + 11. Let k(g) = -5*i(g) + 3*p(g). Give k(4).
-45
Let w(n) = n**2 + 3*n. Suppose 3*l = 3*q - 9, 0 = 6*l - 5*l - 5*q + 19. Suppose -4*s + 7*s = -12. Let c = l + s. Determine w(c).
0
Let p(y) = -3*y + 7. Let c be ((-399)/(-76))/((-3)/4). What is p(c)?
28
Let l(z) = -z**3 + z**2 + z - 2. Let o(a) = 1 + 0*a + a + 1. Let f be o(0). Suppose i = 2*w - f, 0*i + w + 6 = 4*i. What is l(i)?
-4
Let c(j) = -j**3 + 4*j**2 - 1. Suppose 23*r = 9*r + 28. Calculate c(r).
7
Let h(n) = -3*n**2 + 6*n - 5. Let s be 24/(-56) + (-100)/(-70). Give h(s).
-2
Let f(n) = n**2 + 10*n + 1025 - n - 1033. What is f(-9)?
-8
Let d(t) = t - 3. Let c(n) = -4*n + 2. Let z(p) = 4*c(p) + 3*d(p). Determine z(-1).
12
Suppose 3*a = -2*l + 2*a + 11, 0 = -3*l + 3*a - 6. Let o = l - 1. Let f(y) = -9*y + 1. Let m(u) = 11*u - 1. Let g(x) = 7*f(x) + 6*m(x). Give g(o).
7
Suppose 4*u + 8 = -0. Let k(p) = -7*p. Let o(n) = -13*n - 2. Let l(w) = -350*w - 55. Let v(j) = 2*l(j) - 55*o(j). Let b(g) = 7*k(g) + 3*v(g). Determine b(u).
8
Let y(w) be the second derivative of w**8/6720 + w**6/720 + w**5/120 + 49*w**4/12 + w**3/3 + 21*w. Let t(o) be the third derivative of y(o). Calculate t(0).
1
Suppose 7 = -4*k + 2*s - 9, -5*k - 7 = 4*s. Let u(x) = x**3 + x**2 + 3*x + 4. Determine u(k).
-23
Suppose -c = -8 + 2. Let f(i) = 9*i**3 - 14*i**2 - 23*i + 1. Let j(s) = 5*s**3 - 7*s**2 - 12*s + 1. Let g(x) = c*f(x) - 11*j(x). Give g(-6).
-5
Let b(s) = s**2 - 4*s - 2. Let u(t) = 2*t**2 - 14*t - 1. Let z(q) = 2*b(q) - 2*u(q). Give z(10).
-2
Let u(p) = p**3 + 5*p**2 + 2. Let q = -877 + 873. Calculate u(q).
18
Suppose 44 = -7*r + 2. Let i(a) = -a**3 - a**2 + a + 12. Let z(s) = -2*s**3 - s**2 + 3*s + 25. Let f(d) = -13*i(d) + 6*z(d). Calculate f(r).
0
Let j(i) = -9*i**3 + 3*i**2 + 7*i - 9. Let b(s) = 5*s**3 + 5 - 8*s**2 + 13*s**2 - 6*s**2 - 4*s. Let y(a) = -7*b(a) - 4*j(a). Determine y(5).
1
Let f(p) = p**3 + 26*p**2 + 123*p + 13. Let i be f(-6). Let g(q) be the second derivative of -q**3/6 - 3*q**2 - q. Calculate g(i).
-1
Let w(z) be the second derivative of z**3/6 - z**2/2 - 11*z. Let i(k) = -k**3 - k**2 - 6. Let b be i(0). Let l be ((-8)/(-6))/(b/27). What is w(l)?
-7
Suppose 2*x + 6 = c + 2*c, 0 = 5*c + 3*x - 10. Let h(o) be the second derivative of 0*o**c - 1/6*o**4 - 1/3*o**3 + 1/20*o**5 + 0 - o. Calculate h(3).
3
Let o(z) be the third derivative of -z**5/20 + z**4/12 - z**3/2 + 2*z**2 + 2*z. Determine o(2).
-11
Let t(o) = -o**2 + o. Let w(r) = -3*r**2 + 2*r - 4. Suppose -2*a = 5*v + 3*a + 40, 0 = 5*v + 4*a + 37. Let s(l) = v*t(l) + w(l). What is s(3)?
5
Let p(k) = -5*k**2 + k. Let m = 241 + -239. Give p(m).
-18
Suppose -19 = -x - 5*p, -5*x + p = 2*p + 25. Let i = x - -5. Let f be (-296)/(-48) - i/(-6). Let n(q) = -2*q + 7. Give n(f).
-5
Let w = -53 + 43. Let h(q) = -q**3 - q**2. Let i(p) = -3*p**3 + 7*p**2 + 10*p - 2. Let n(x) = 4*h(x) - i(x). Determine n(w).
2
Let r(l) = l - 18. Suppose 5*j = 2*t - 12, 2*j + 3*j = t - 11. Let i(f) = 3*f + 5. Let x be i(t). What is r(x)?
-10
Let y(c) = c**3 - 4*c**2 + 2*c + 4. Let m(k) = 65*k**2 - 72*k**2 + 3*k + 2*k**3 - 6 + 13. Let r(q) = 2*m(q) - 5*y(q). Let h be 34/6 + (-4)/6. Give r(h).
-1
Suppose -3*c + 18 = -2*o, -3*o = o. Let u(k) = -23 + 5 + 7 + 2*k + c. Give u(6).
7
Let x(h) be the first derivative of -h**3/3 + 3*h**2 - 198. Determine x(3).
9
Let k(z) be the second derivative of 1/2*z**2 + 9*z - 1/20*z**5 + 0 + 1/4*z**4 + 1/2*z**3. What is k(-2)?
15
Let x(n) = n**2 - 5*n - 3. Suppose m - 12 = 3. Let r = 15 - 24. Let a = r + m. What is x(a)?
3
Suppose 2*w - 28 = 7*c - 2*c, 0 = 3*c + 3*w. Let i(k) be the first derivative of k**2/2 - 3*k + 3. Determine i(c).
-7
Let l(w) = 48*w**2 + 1 + 54*w**2 + 88*w**2 - 186*w**2. Let q = 3 - 1. Let i be 2/4*q - 2. Give l(i).
5
Let v(u) = -13 + u - u**2 + 6*u + 0*u + 5. Let i(p) = 2*p + 2. Let h be i(-2). Let a(d) = d**2 + 2. Let f be a(h). What is v(f)?
-2
Suppose -5*r + d + 2*d + 12 = 0, -3*d = 2*r - 9. Let f(o) = o + 4 - r - 5*o - 14*o. What is f(1)?
-17
Let g be (-6)/78 + -19*10/65. Let z(j) = -3*j - 7. Determine z(g).
2
Let d(u) be the third derivative of u**8/20160 - u**7/1680 + u**6/180 + 3*u**5/20 + u**2. Let p(z) be the third derivative of d(z). Calculate p(4).
8
Suppose 0 = -7*s + 9*s - 84. Let t be ((-111)/12)/(2/(-8)). Let a = s - t. Let j(c) = -c**2 + 6*c - 5. What is j(a)?
0
Suppose q = -q. Let l(v) = q + v + 0*v - 4. Suppose 10 = -5*h + 5*i, i = 2*h - 0 + 6. Give l(h).
-8
Suppose -13 = -3*t - 4. Suppose t*k = 5*c - 20, -2*k = 3*c - 15 + 3. Let f(v) be the second derivative of -v**3/2 + 2*v**2 + v. Determine f(c).
-8
Let k(t) = 2*t + 2. Let b = 133 - 132. Calculate k(b).
4
Let m(f) = -f**2 - 13*f + 11. Let d(k) = -k**2 - 7*k + 6. Suppose 0 = 4*z + 5*o + 45, 0*z = -5*z + 2*o - 15. Let b(s) = z*d(s) + 3*m(s). Give | {
"pile_set_name": "DM Mathematics"
} |
st common multiple of i(-2) and n.
11
Let b(c) = -1 + 21*c**2 + 0 - 2 + 2. Let m be b(-1). Suppose -r - r = -m. Calculate the lowest common multiple of r and 15.
30
What is the common denominator of (-1545)/3128 - ((-702)/(-138) - 5) and -19/18?
1224
Let w = 27 - 43. Let d = 2354/15 + -743/5. Calculate the common denominator of -5 - -3 - (-14)/w and d.
24
Suppose l = 5*o + 3*l + 28, -5*l = o + 1. Calculate the common denominator of (-15)/(-16) + 1/(-2) and 354/(-44)*2/o.
176
Suppose -2*q + 2*v = -3*v + 35, -10 = q - v. Let m = q + 7. Suppose 3*h - 6*h = -3*w + 54, -4*w = 5*h - 90. What is the least common multiple of m and w?
20
Let r be 1/(-4) + (-1445)/(-20). Let q = r - 50. What is the lowest common multiple of q and 10?
110
Let i = -853/10 - -86. Calculate the common denominator of i and 63/(-105)*(-14)/(-6).
10
Let m(g) = 47*g + 4. Let n be m(1). Suppose k + n = 54. Calculate the lowest common multiple of 41 and k.
123
Let x = -8 - -15. Let t(c) = c**3 - 59*c**2 + 865*c - 30. Calculate the smallest common multiple of (-2)/(-7) + 40/x and t(32).
6
Suppose -2*d = 4*l - l - 4606, -2*d - 2*l + 4606 = 0. Let j = d - 41477/18. Calculate the common denominator of 62/(-10) - (-3)/12 and j.
180
Let t = 5833/66 - 1128/11. Let h = -969231/270946 + 3/10421. What is the common denominator of h and t?
78
Let o = -256 - -307. Calculate the least common multiple of o and 68.
204
Let p(y) = -y**3 + 8*y**2 + 9*y. Let z be p(9). Suppose 2*q + 3 = 3*t - q, -3*t + q - 5 = z. What is the smallest common multiple of 8 and 30*(-4)/36*t?
40
Suppose -2*s + 4*b + 42 = s, s + b - 21 = 0. What is the least common multiple of 33/4 - 3/12 and s?
72
Suppose l - 6*l = -c + 17, -l - 3*c - 13 = 0. Suppose 0 = -x - n + 7, 5*n = 3*x + 4*n - 5. What is the smallest common multiple of x and (3 + 1)*(-17)/l?
51
Let f = -43092785/10378908 - 1/305262. Let s = f - -47/12. What is the common denominator of -13/6 and s?
102
Let o be 1 + (2020/(-666) - -2). Let x = 1385001049805/7326 + -189052830. Let l = x + o. Calculate the common denominator of l and 73/2.
22
Suppose 8*g - 7*g = -j + 31, 0 = -g + 5*j + 43. Calculate the lowest common multiple of 44 and g.
132
Let q = -3 - -6. Suppose -3*z - 57 = 2*j - 0*z, 4*j + 4*z + 108 = 0. Let g = 29 + j. Calculate the smallest common multiple of g and q.
15
Let i = 3 + -1. Calculate the lowest common multiple of i and -6*9/54*-9.
18
Calculate the smallest common multiple of 7 and 3 + (2 - 3) - -68.
70
Let k be 1/((-4)/(-16))*2. Suppose -4*x = -0*x - 4*b - 28, 0 = -2*x - b + k. Calculate the least common multiple of x and 11.
55
Let m = 6 - 80. Let l = -54 - m. Calculate the smallest common multiple of l and 20.
20
What is the common denominator of (-50 - -1)/(12 - 9 - -9) and -63/40?
120
Let k(o) = o**3 + 4*o**2 - 13*o - 2. Suppose 2*a + 4 = 4*a. Calculate the least common multiple of k(-6) and (-11)/2*(a + -4).
44
Let p be ((-21)/(-6))/((-3)/18). Suppose -3*j + 0 = d + 12, -3*j = -4*d + 27. What is the lowest common multiple of (-153)/(-21) + 6/p and d?
21
Let m(d) = d**2 + 3*d - 6. Let w be m(-3). Let o = 14 + w. What is the lowest common multiple of o and 36?
72
Suppose 0 = 4*o - 3*q - 45, 6*q - q = -4*o + 21. Suppose 2*d = -d + o. What is the smallest common multiple of 16 and ((-63)/28)/(d/(-16))?
48
Let n = 9 + -7. Suppose -24 = -0*o - n*o. Calculate the lowest common multiple of 24 and o.
24
Suppose 16 = 3*d + d - 4*c, -4*d + 5*c + 14 = 0. Let q(k) = k + 6. Calculate the lowest common multiple of q(d) and 10.
60
Let f(j) = 2*j + 3 + 4*j - 7 - 2. Let w = -7 - -10. Calculate the least common multiple of f(w) and 12.
12
What is the common denominator of 78/(-15)*(90/16)/(-3) and 13/40?
40
Let z be 85141/588 + 2 + 2/7. Let f = z + -155. Calculate the common denominator of f and 127/48.
48
Suppose -5*f + 119 = -221. What is the smallest common multiple of 6 and f?
204
Let w = -275543/38 + 7249. Let x be -18 - -4 - (-1 - 0). Find the common denominator of ((-26)/x)/((-4)/(-73)) and w.
38
Suppose -b + 8*g + 15 = 7*g, -3*g = b - 35. Suppose -3*o - 4*s = -b, -o + s = 2*o - 40. Calculate the lowest common multiple of o and 44.
132
Let i be 96/(-2) + (4 - 5/1). Let d = i + 61. What is the lowest common multiple of 6 and d?
12
Calculate the common denominator of (-570)/72 + (-12)/(-8) and -99/602.
3612
Suppose 9 = 2*z + 23. Let h = -19 - z. What is the smallest common multiple of 2 and (h/(-3) + -2)/1?
2
Let q be 6/8*(5 + 15). Let y = -25549/14 + 1826. Calculate the common denominator of (-3)/(-1) - q/(-2) and y.
14
Suppose 14*h = 12*h + 56. Suppose 3*z + j = h, -24 = -3*z - 4*j - 2. Calculate the least common multiple of z and 30.
30
Let x = -419/5 - -169/2. Find the common denominator of (-1)/(-2)*(-47)/(-5) and x.
10
Let f(l) = -l**3 - 3*l**2 + 2*l - 6. Let j be f(-4). Let s = 5 - -3. What is the least common multiple of (-2*j/(-4))/(2/36) and s?
72
Let j = -20/59 + 535/708. Calculate the common denominator of 13/36 and j.
36
Let k(d) = -d**2 - 21*d - 53. What is the least common multiple of 9 and k(-11)?
171
Suppose -132 - 138 = 6*k. Calculate the common denominator of (2 - (-429)/k)*(-15)/20 and (-4)/(-2) + (-109)/8.
40
Let z = 358637/61712 + 4/3857. Let q = -383/248 + -2208735/1736. Let t = q - -1276. Find the common denominator of z and t.
112
Let g = -10531/718 + 1/2154. Let l = 48 + -70. Calculate the common denominator of 4/l*47/(-2) and g.
33
Let f = 3/466 + -27181/23766. What is the common denominator of -20/93 and f?
1581
Let w = 5405/884 + 30/221. Find the common denominator of w and -3/8.
8
Let u be 2 - (7 - -2)/3. Calculate the common denominator of 69/8 and (-1 - u) + (-380)/(-24).
24
Let y be 1 + 0 + -3 + (-5 - -3). Calculate the common denominator of y + 1 - ((-3975)/(-228))/(-5) and -127/6.
228
Let c = 31 - 28. Suppose -5*y + 3*a + 59 = 0, c = -a - 0. What is the lowest common multiple of y and 3?
30
Let l(g) = -58*g + 2. Let k be l(-2). Suppose 38 - k = -5*a. What is the lowest common multiple of a and 8?
16
Let b be 3 - (-3 - -3) - -7. What is the common denominator of (-6 + 12)*9/(-66) and 2 + 53/b + -3?
110
Let c = 10324/7 - 1472. Find the common denominator of c and (-11)/77 + (-440)/(-42).
21
Suppose 0 = -0*j + 5*j - 70. Let f = j - 7. Suppose -f*t + 5 = -2*t. Calculate the lowest common multiple of 4 and t.
4
Let n(h) = h + 2. Let y be n(-6). Let g(k) = -15*k - 9. Let z be g(y). Find the common denominator of 43/10 and (-2 - -1)/((-15)/z).
10
Let l = -5747 + 206855/36. What is the common denominator of l and -17/42?
252
Let z = -1622499/2536 + 261/634. Let h = z - -638. What is the common denominator of -95/18 and h?
72
Let s = 496573/68760 + 3/7640. Calculate the common denominator of s and 2/(-7) - 69/77.
99
Let k(f) = -2*f**3 - 10*f**2 - 18*f - 11. Let w be k(-15). Let r = 5717102 + -57218661/10. Let n = r + w. Calculate the common denominator of -3/32 and n.
160
Let f(o) = 1 + 4*o + 4*o - 2*o - o**2 + 0*o**2. Let j be -10*((-1)/2 - 0). What is the smallest common multiple of 5 and f(j)?
30
Let q = 13235/48 - 1645/6. Calculate the common denominator of (-87)/2*2/(-24) and q.
16
Let f be ((-5 - -5) + -3)/((-1)/(-3)). What is the common denominator of (0 - (-2)/f) + (-17178)/(-4158) and 13/5?
55
Let d be -134*(3 + 8498/(-80)). Let j = d + -13829. Find the common denominator of j and 33/2.
20
Find the common denominator of (-61 - -62)*(-291)/(-60) and 31/45.
180
Let w = 257 + -215. Calculate the lowest common multiple of 42 and w.
42
Suppose -5*k + k = -t - 4, 5*t - 16 = 2*k. Let r be 6*3/6 - k. Calculate the common denominator of (r + 19)*(-45)/264 and 109/14.
154
Let c = 31 + -67. Let x = c + 25. What is the common denominator of -108*((-23)/(-96) + (-1)/3) and x?
8
Let p = 866 - 310. Calculate the smallest common multiple of 12 and p.
1668
Suppose 0 = 3*d + 2 - 74. Calculate the common denominator of -71/42 and ((-3)/d)/((-15)/(-628)).
210
Suppose -3*y - 17 = 7. Let h(n) = 2*n**2 + n + 10. Let o be h(0). Let g = o + y. What is the lowest common multiple of g and 8?
8
Let w = -2777 - -33377/12. Calculate the common denominator of w and (-434)/(-40) - (12 - 0 - 4).
60
Let m = 10241/3 - 3414. What is the common denominator of ((-4)/(-62))/(2/7) and m?
93
Suppose 0 = -8*n + 446 + 98. Suppose -4*i = 3*m - n, 3*m - 49 | {
"pile_set_name": "DM Mathematics"
} |
r*b - 15 = 0, 1 = -i + 3*b - 7. Solve i = -4*d + k, -4*d - 2*k = 2*k - 4 for d.
0
Let l be (11 + 4)/(1 - 0). Suppose 3*f = 4*i + 15, i - 2*i + l = 3*f. Suppose i = 12*w - 7*w. Solve 0 = -2*z - w*z + 8, 0 = 2*h - 2*z + 16 for h.
-4
Let f be 52/(-8) + 6 + (-1)/(-2). Suppose f = -28*t + 2 + 110. Solve 0 = -b + 5, -3*b + 0*b + 19 = t*d for d.
1
Let j(v) be the second derivative of v**4/6 + 13*v**3/6 + 7*v**2/2 - 11*v. Let q be j(-7). Let x be 30/3*q/35. Solve -4*t = -20, -26 = 5*p - 4*t + x for p.
-2
Let i = -21 - 48. Let u = 74 + i. Solve 5*r + u*q - 13 = -3, 0 = r - q - 2 for r.
2
Let f(j) be the third derivative of j**5/30 - 47*j**4/24 + 18*j**3 + 3*j**2 - 79. Let i be f(21). Solve i = -s + 4*s - 3*w, 7 = 5*s - 4*w for s.
3
Let t = -26162 + 26162. Solve -3*a - 29 = -3*c - 47, t = c + 2*a for c.
-4
Let w be 46/11 + 98/(-539). Solve w*m - c + 18 = 6, -4 = 2*m - c for m.
-4
Suppose 11*w + 27*w - 196 = 412. Solve 4*k - w = 0, -8*q = -4*q + 2*k + 8 for q.
-4
Let c(n) = 3*n**3 - 13*n**2 + 6*n - 4. Let u be c(4). Solve 3*j + 8 = -s - 2, 0 = 3*j - u*s + 35 for j.
-5
Suppose -350 = 51*y - 2288. Solve 37 - y = d - q, -2*q + 18 = 2*d for d.
4
Suppose -l = -122*l + 242. Solve -5*c = -n + 21, -l*n - 10 = -0*c + 3*c for c.
-4
Suppose 0 = -v + 5*r + 27, -8*v - 21 = -6*v + 5*r. Suppose 8 = 4*k - 0*k. Suppose -7*s - 36 = -25*s. Solve -l - s*y + k = 1, v*l = -2*y for l.
-1
Let z(d) = 2*d + 15. Let v be z(7). Suppose v = -5*q - 11. Let y be 92/16 + ((-18)/q)/(-3). Solve -4*h + 4*m = 19 + y, 5*m = -4*h - 6 for h.
-4
Let c(a) = -33*a - 228. Suppose q - 2*s = -3, 0 = -5*q + 4*s + 15 - 42. Let j be c(q). Solve -j*p + 5*l - 8 = 0, -5 + 6 = 4*p + 5*l for p.
-1
Let w(u) = -u**2 - 18*u - 75. Let l be w(-8). Solve 12 = -4*z - l*n - 13, n + 5 = 2*z for z.
0
Suppose 0 = l - 13 + 9. Let n = 27 + -30. Let c be 4/(-6)*n - -3. Solve c*o + 3*y = -y + 31, -l*o + y = -8 for o.
3
Suppose 5*i - 4*i = 35. Suppose 0 = -31*f + 38*f - i. Solve -f*h - 23 = j, 4*h + 0*j + 14 = -3*j for h.
-5
Suppose 3*k = x - 10, 7 + 11 = 5*x + k. Let b be (-3 - (5 + -10))*7 - (-63)/(-9). Solve -b*h + 11 = 5*m - 5*h, 0 = 3*m - x*h + 9 for m.
1
Suppose 316*s = 323*s - 91. Suppose 4*w = h + 1, -2*w + 4*h = w - 4. Solve w = 2*o - 4*v + 5 + 1, -2*v = -3*o - s for o.
-5
Let x(d) = d**2 - 22*d + 123. Let c be x(11). Solve k + 7*h - 12 = 3*h, 4*h - 24 = c*k for k.
-4
Suppose 2*k + 3*k - 20 = 0. Let i(z) = -8*z - 52. Let h be i(-13). Let x = -48 + h. Solve -4*r - 5*t + 12 = 0, 0*r = x*r - k*t - 12 for r.
3
Suppose 0 = 139*u - 136*u - 12. Solve n = -u*v + 14, -3*v + 8 = -1 for n.
2
Let s = -282 - -283. Let t be (5 - 2 - 21/7)/s. Solve -g + 29 = -5*n, t = -5*n - 0*g - 2*g - 17 for n.
-5
Let d(x) = -23*x - 23. Let y be d(-7). Let n = 141 - y. Solve -3*w - n + 12 = 0, w - 7 = 4*o for o.
-1
Suppose 22*o = 19*o + 15. Suppose 3*f = 4*x + 40, -40 = -4*f - 3*x + o*x. Solve 2*m - 14 = 4*v, -3*v + 23 = -3*m - f*v for m.
-1
Let v be 4/6*2418/124. Suppose v*f = -59 + 85. Solve 3*q + 3 = -3*i, -i - 2*q = f*i + 5 for i.
-3
Suppose 0 = -2*m + m - 3*w - 6, -3*m - 5*w - 2 = 0. Solve 0 = 2*o + m, 3 = -0*l - 3*l + 4*o for l.
-5
Let l(d) = -d**2 + 14*d - 31. Let h be l(3). Solve -4*c + 21 = -3*q, -h*q - 5*c + 12 = 3 for q.
-3
Let z(s) = 2*s**3 - 13*s**2 - 17*s - 52. Let a be z(8). Solve 0 = -5*i + a*y - 12, -5*i + 0*i + 5*y = 10 for i.
-4
Let v be 1*(-13 + -2 - -18). Solve -3*d + 5*y = 3*y - 5, -4*y - 13 = -v*d for d.
-1
Let g = -100 + 102. Suppose 3*i - g*s - 135 = 0, -31 = -i - 0*i - 4*s. Let v = 71 - i. Solve 0 = -q + 3*n + 8, -2*q + v = -6*q - 3*n for q.
-4
Suppose -4*m + 628*l - 625*l + 29 = 0, 4*m - 14 = -2*l. Solve m*w - 4*a - 3 = 0, 2*w + 11*a = 9*a - 6 for w.
-1
Let w(l) = -l**2 - 22*l - 107. Let h be (-2)/8 - (3630/(-24))/(-11). Let t be w(h). Solve -4*q = -t*d - 31, 24 = -8*d + 4*d + 3*q for d.
-3
Suppose -3*c = 12*c - 15. Suppose 0 = 2*d + 33 + 3. Let n be c*d/(-12)*2. Solve -11 = -5*b + 3*f, -2*b - n*f = -0 + 4 for b.
1
Suppose 4*b = -7*b + 209. Suppose 41*k - 132 = b*k. Solve -3*m + 2*z + 2 = -0*m, 5*m = 2*z + k for m.
2
Let n = -10566 - -10571. Solve 6*o + 5*d = 2*o + 46, -n*o + 26 = d for o.
4
Suppose -25*g - 691 = -766. Solve g*m - 18 = -2*k - 4, -m = k - 4 for m.
6
Suppose -5*w + 6*w + 2 = -u, 0 = -4*u - 8. Let h = -55 + 59. Solve k + w*k = 0, 12 = 4*b - h*k for b.
3
Let b = -2231 + 2235. Solve 12*y = 4*i + 11*y, 0 = 3*i - b*y for i.
0
Suppose 20*f = 168 + 292. Solve 5*p = 4*m + 20, p - 2 = 5*m + f for m.
-5
Let p be (-30)/(-165) + 1102/(-11). Let k = p - -104. Let m be (-1)/(48/52 + -1). Solve -b + 5*c = -9, -4*b - k*c + c = -m for b.
4
Let i be (-1055)/(-6) - 5/60*-2. Let j = i + -165. Solve -3*c + 8*c = -2*x - j, x = -5*c - 13 for x.
2
Let s = -175 + 182. Solve 8*b - 6*b = -5*m + 16, -3*b + m + s = 0 for b.
3
Let q = -40413 + 40418. Solve 0 = -p - d + 1, -110*p + q*d - 45 = -105*p for p.
-4
Let m(r) be the first derivative of 2*r**3/3 + 13*r**2/2 + 11*r + 59. Let p be m(-6). Solve -2*a + s + 5 = 0, 17 = p*a - a + 5*s for a.
3
Let f(g) = -g + 7. Let q be f(2). Suppose h + q*w = 28, 0 = 5*h - 6*w + 2*w + 5. Solve -2*j + h*i - 1 = -3, -4*j + 24 = 4*i for j.
4
Let m be ((-10)/6)/((-786)/4716). Suppose -4*l - 7*f + 37 = -2*f, 3*l - 19 = -2*f. Solve m = b - 0*b - 2*s, 0 = l*b + 3*s - 3 for b.
4
Let p(t) = -45*t**2 - 85*t + 12. Let c be p(-2). Let q(o) = -2*o - 5. Let s be q(-5). Solve -5*h = -c*r + 1 - 11, 0 = r + s*h - 25 for r.
5
Suppose 0 = 2*i + 8, 8*j - 6*j - 12 = 2*i. Suppose -4*z - 75 = z. Let d be z/(-10)*j + -1. Solve 10 = 3*m - 8*m, d*m = -5*f + 16 for f.
4
Suppose 18 = -d + 4*d. Let l be (-80)/(-36) + d/(-27). Suppose l*p = -124 + 128. Solve -i + p*g = 0, 0*i = -i + 4*g - 4 for i.
4
Let d be (28 - 29 - (-12)/9)*33. Solve -i = 4*z + d, 4*i + 25 = 9*i for z.
-4
Suppose 143 = -n + 67. Let u be 314/4 + (-1)/2. Let d = u + n. Solve -5*f + 23 = -d*z, 4*f - 17 = 2*z + z for z.
1
Suppose -21*o + 3*a = -18*o + 645, 5*a = 15. Let m = o + 233. Solve m = 4*y - n, 15 = 3*y - y - 5*n for y.
5
Let s(n) = 20*n + 167. Let p be s(-7). Suppose -r - 5*m = -17, 29*r + m = p*r + 7. Solve -10 = y - 5*b, r*b - b = y + 2 for y.
0
Let m(j) = -4*j**2 + 43*j - 48. Let z(u) = 2*u**2 - 22*u + 24. Let f(t) = 2*m(t) + 5*z(t). Let v be f(11). Solve -v*c = 10, 0*c + 2*c + 10 = -d for d.
0
Suppose -17 = -5*t - 4*b, 3*b - 5 = -3*t - 2*b. Suppose 0 = t*c - 7*c + 188. Let y = c + -89. Solve -7*k - 23 = -3*h - 3*k, 3*h - y*k = 25 for h.
5
Let t be (8 - 5) + 29 + (-3 - -2). Suppose -t + 31 = -d. Let q be (-6 + 8)/((-2)/(-6)). Solve 2*i = -m, -q*m + m + 4*i + 28 = d for m.
4
Let j(f) = -159*f + 160. Let c be j(1). Solve -l - 45*n + c = -43*n, -2*l = -n + 13 for l.
-5
Let h = 839 - 537. Suppose h = 7*b + 274. Solve -3*i - 16 = 4*w, 4*w - 8*i - b = -6*i for w.
-1
Let r be ((-2 + 0)*1)/(2056/(-3084)). Solve -5*y - 10 = r*w, 9*w + 4*y = 5*w - 8 for w.
0
Let l = -36 + -18. Let x = 56 + l. Let m be (-2 - (3*-5)/3) + x. Solve -5*p - 2*i + 15 = 0, 2*p + m*i - 28 = -p for p.
1
Suppose -3*t - 19*h + 20 = -15*h, -4*h + 20 = t. Suppose t = 9*y - 16 - 20. Solve -4*i + 3 - y = f, f + 9 = 4*i for i.
1
Suppose 225*i - 207*i - 77 + 23 = 0. Solve -i = -2*p + 22*u - 21*u, 5*u - 25 = 0 for p.
4
Suppose 5*y + 10 = -4*b, 3*y + 18 = 3*b - 15. Solve -b*k + 5*c - 30 = 0, -11*c + 10*c = -3*k - 12 for k.
-3
Suppose 865*z - 904*z = -156. Solve -z*t + 16 = -2*v, 4*v + t = 2*v + 9 for v.
2
Let q(a) = 5*a - 40. Let j(x) = 3*x - 27. Let m(u) = -7*j(u) + 5*q(u). Let i be m(4). Let c be i/40*4*6*2. Solve -2*p = -6*p + 5*w - 31, -2*w = -c for p.
-4
Let k be 516/12 - (3 - -8). Solve s + k = 5*o + 31, -5*o = -3*s - 3 for s.
-1
Suppose 0 = 6*n - 640 - 218. Let t = -140 + n. Solve -2*w + 2*r + 7 = -t*r, -w - 1 = -r for w.
-4
Let l(p) = -p**3 + 26*p**2 - 70*p + 1130. Let u be l(25). Solve w - 12 = -3*w + u*c, 0 = 3*c for w.
3
Suppose -55 - 92 = -21*m. Suppose -17*a = -m*a - 30. Solve 0 = -a*c - 2*o + 11, 6 = -3*o - 0*o for c.
5
Suppose 0 = -d + 2*q - 5, q = 3*d - 2 - 3. Solve -3*i + 6 = 3*k, 4*i - d*i - 2 = -4*k for k.
0
Suppose 125 - 108 = -2*z + 5*c, -4*c + 16 = -z. Solve 4*k + 8*w - 8 = z*w, 2*k = w - 8 for k.
-2
Let c(a) = -5*a - 2. Let x be c(7). Let i = x + -131. Let f be i/(-78) - (-4)/(-26). Solve 2*y - 2*h = -f*y - 20, -2*h = 0 for y.
-5
Let c be (-64)/10*(-65)/26. Solve - | {
"pile_set_name": "DM Mathematics"
} |
replacement from {k: 3, w: 9}. Give prob of sequence www.
21/55
Three letters picked without replacement from zoozzoozzzoooz. Give prob of sequence ooz.
7/52
Calculate prob of sequence pp when two letters picked without replacement from ppphrpprhuprhp.
3/13
Four letters picked without replacement from xhhvhhyhhhhxxxhvh. Give prob of sequence xxxh.
1/238
Four letters picked without replacement from {y: 2, i: 1, p: 10, s: 4}. What is prob of sequence spys?
1/238
Three letters picked without replacement from {u: 4, j: 2}. What is prob of sequence juu?
1/5
Three letters picked without replacement from {b: 7, h: 7, e: 5}. What is prob of sequence bbe?
35/969
What is prob of sequence cy when two letters picked without replacement from yfqgcqfff?
1/72
Two letters picked without replacement from {j: 2, x: 1, u: 1, t: 5, o: 3}. Give prob of sequence xj.
1/66
Four letters picked without replacement from neeeneeeeeeee. What is prob of sequence nene?
1/78
Calculate prob of sequence rrw when three letters picked without replacement from hwhwrhhwrrhhrrhhrr.
7/272
What is prob of sequence nwl when three letters picked without replacement from fwfnlwlwfk?
1/120
What is prob of sequence gwww when four letters picked without replacement from wwggwgttw?
1/42
Calculate prob of sequence ws when two letters picked without replacement from jjwtutjjjs.
1/90
What is prob of sequence pn when two letters picked without replacement from {n: 3, p: 3}?
3/10
What is prob of sequence gbss when four letters picked without replacement from {h: 3, v: 3, w: 1, s: 1, g: 3, b: 3}?
0
What is prob of sequence hw when two letters picked without replacement from weehkkeefwk?
1/55
Calculate prob of sequence vo when two letters picked without replacement from vvvxo.
3/20
Four letters picked without replacement from jxccxgxxx. What is prob of sequence cjxc?
5/1512
Three letters picked without replacement from ozoowooozwzo. Give prob of sequence wzw.
1/220
What is prob of sequence kww when three letters picked without replacement from {w: 4, k: 3}?
6/35
Calculate prob of sequence uum when three letters picked without replacement from ummumumumm.
1/10
Three letters picked without replacement from nnceoxeenx. What is prob of sequence nnx?
1/60
Three letters picked without replacement from {z: 5, i: 7}. Give prob of sequence iii.
7/44
What is prob of sequence zuu when three letters picked without replacement from {u: 3, z: 3}?
3/20
Three letters picked without replacement from iliiiilljlijl. Give prob of sequence iji.
5/143
Three letters picked without replacement from nyeykck. Give prob of sequence ycn.
1/105
What is prob of sequence hhpp when four letters picked without replacement from nnpnnnnnhhppnhnphhn?
5/1938
Two letters picked without replacement from bqqqqbqqqqq. What is prob of sequence qb?
9/55
Two letters picked without replacement from phhhhhhhph. What is prob of sequence ph?
8/45
Three letters picked without replacement from pthmg. Give prob of sequence pmg.
1/60
Two letters picked without replacement from {h: 5, z: 2, m: 5, y: 1, u: 6}. Give prob of sequence uy.
1/57
Calculate prob of sequence jmn when three letters picked without replacement from tjfmmfna.
1/168
Three letters picked without replacement from {l: 1, f: 1, d: 1, o: 2, z: 1, q: 1}. Give prob of sequence ofd.
1/105
What is prob of sequence hd when two letters picked without replacement from {w: 6, u: 2, h: 3, d: 2}?
1/26
Four letters picked without replacement from irmlc. Give prob of sequence lirm.
1/120
Two letters picked without replacement from {r: 6, k: 13}. What is prob of sequence rk?
13/57
What is prob of sequence yy when two letters picked without replacement from {y: 11, p: 1}?
5/6
Two letters picked without replacement from {n: 1, o: 1, b: 2, m: 1, a: 2, x: 1}. Give prob of sequence xn.
1/56
Two letters picked without replacement from {s: 2, z: 7, v: 1}. What is prob of sequence sv?
1/45
Three letters picked without replacement from przezpvrrzrpz. Give prob of sequence ppv.
1/286
Three letters picked without replacement from zuwuwcluwzilziu. What is prob of sequence iwu?
4/455
Three letters picked without replacement from {t: 5, f: 5}. Give prob of sequence ftt.
5/36
Three letters picked without replacement from {p: 2, e: 5, c: 3, z: 7, k: 3}. Give prob of sequence ppe.
1/684
What is prob of sequence mw when two letters picked without replacement from wwwllwwllwwwwwlmll?
5/153
What is prob of sequence jqqg when four letters picked without replacement from {j: 2, g: 1, q: 2}?
1/30
Three letters picked without replacement from {n: 1, p: 8, a: 1, h: 6}. What is prob of sequence app?
1/60
Calculate prob of sequence saq when three letters picked without replacement from jjaojojqjoojsqoj.
1/1680
Four letters picked without replacement from wjjwjeeeewjjj. What is prob of sequence eejw?
9/715
Calculate prob of sequence lbl when three letters picked without replacement from llllllllblllllllbl.
5/51
Two letters picked without replacement from {g: 5, e: 4, p: 1, q: 1}. What is prob of sequence qe?
2/55
What is prob of sequence ddk when three letters picked without replacement from dtdpptptddkdtpdpddt?
28/2907
Four letters picked without replacement from lccmlmtomfmfom. Give prob of sequence tffm.
5/12012
Calculate prob of sequence xff when three letters picked without replacement from {n: 3, a: 4, f: 2, x: 1, j: 1}.
1/495
Calculate prob of sequence ti when two letters picked without replacement from {i: 8, t: 2, d: 2, z: 1}.
4/39
Three letters picked without replacement from rynppfmfr. What is prob of sequence mfr?
1/126
Calculate prob of sequence fll when three letters picked without replacement from {l: 3, f: 4}.
4/35
What is prob of sequence gnc when three letters picked without replacement from bynyncg?
1/105
Two letters picked without replacement from phhh. Give prob of sequence hp.
1/4
Two letters picked without replacement from {j: 1, u: 6, d: 3, l: 3}. Give prob of sequence ud.
3/26
Calculate prob of sequence yaw when three letters picked without replacement from fayssfswssasswwwwww.
7/2907
Calculate prob of sequence yysc when four letters picked without replacement from cyxysfysyy.
1/126
Two letters picked without replacement from hhuzvfum. What is prob of sequence uh?
1/14
Calculate prob of sequence hhhu when four letters picked without replacement from {u: 9, h: 3}.
1/220
What is prob of sequence xy when two letters picked without replacement from mxyxziimxii?
3/110
Four letters picked without replacement from {i: 1, b: 19}. What is prob of sequence bibi?
0
What is prob of sequence pc when two letters picked without replacement from {k: 2, p: 1, c: 4, h: 1}?
1/14
What is prob of sequence gqv when three letters picked without replacement from gsqgxvq?
2/105
Three letters picked without replacement from zyy. What is prob of sequence yzy?
1/3
Two letters picked without replacement from yqyoqqi. What is prob of sequence oq?
1/14
Two letters picked without replacement from boblouq. Give prob of sequence ub.
1/21
Two letters picked without replacement from {j: 4, g: 1, h: 5, i: 3}. What is prob of sequence gj?
1/39
Calculate prob of sequence tt when two letters picked without replacement from {t: 7, x: 4, w: 7}.
7/51
Four letters picked without replacement from {s: 3, b: 3, x: 5, y: 1}. Give prob of sequence sbbs.
1/330
What is prob of sequence dda when three letters picked without replacement from {u: 2, d: 2, t: 5, a: 8, j: 1}?
1/306
Four letters picked without replacement from {x: 4, o: 3, y: 2}. Give prob of sequence yyoo.
1/252
Calculate prob of sequence woo when three letters picked without replacement from wcctoowttpocowtw.
1/70
Calculate prob of sequence rgvh when four letters picked without replacement from rrvgrheege.
1/840
Two letters picked without replacement from lttpttllxlltlttttll. What is prob of sequence ll?
28/171
Calculate prob of sequence it when two letters picked without replacement from {t: 5, n: 1, i: 5}.
5/22
Four letters picked without replacement from fvuvjfffujffjjfujfff. What is prob of sequence vuvf?
1/1938
What is prob of sequence rtl when three letters picked without replacement from {l: 1, r: 2, i: 1, t: 2, o: 1, x: 1}?
1/84
What is prob of sequence jjhi when four lette | {
"pile_set_name": "DM Mathematics"
} |
70)) - -3. Let z = -3.52 + -0.48. Put z, 1/7, v in increasing order.
z, v, 1/7
Suppose 12 = 5*v + 4*p - 2*p, -3*p + 11 = 4*v. Let r = -11/28 + 13/140. Let l = 17/40 + r. Sort l, v, 3 in decreasing order.
3, v, l
Let h = -1236 + 1231. Sort -100, h, 2/15 in descending order.
2/15, h, -100
Let r be (3 + -2)/(7/161). Let l be (-18)/10 - (-26 + r). Sort -0.07, -1/6, l in descending order.
l, -0.07, -1/6
Let q = 7 - 6.6. Let x = 0.3 - q. Let m = x - 0.9. Put 0.1, m, 5 in ascending order.
m, 0.1, 5
Suppose d + 2*y + 4 = 0, 4 = -20*d + 23*d + 2*y. Put d, -2, -7 in decreasing order.
d, -2, -7
Suppose 9 = 2*x - g + 8, 0 = 5*x + 4*g - 22. Suppose 4*j + 3*h = -h, 20 = 4*h. Put -4, x, j in descending order.
x, -4, j
Let o = -258 + 253. Suppose -4 + 7 = -3*l. Let x be 1 + (-4)/(-6)*3. Put l, o, x in descending order.
x, l, o
Let y(q) = -27*q + 76. Let u be y(3). Sort 9, 1, u, -0.08 in decreasing order.
9, 1, -0.08, u
Suppose -2*v - 3*j = 1, -20*v + 4*j - 32 = -16*v. Sort 94, 0, v, -2 in increasing order.
v, -2, 0, 94
Let g be (-75)/(-50) - (-6)/4. Sort g, 9, -5, 4 in decreasing order.
9, 4, g, -5
Let p(k) = k**2 + 8*k + 12. Let l be p(-8). Suppose 3*u + u = l. Sort 1, u, -4 in descending order.
u, 1, -4
Suppose -112 = 31*b + 43. Put b, 4, -7 in increasing order.
-7, b, 4
Let n = -387 - -383. Sort -1, -108, n.
-108, n, -1
Suppose -27*r + 12 = -30*r. Suppose 19 = -3*u + 2*c, 4*u = -3*c - 2 - 12. Sort u, r, -2 in descending order.
-2, r, u
Let u = -37 - -38. Sort -1, -0.5, -3/4, u in increasing order.
-1, -3/4, -0.5, u
Suppose 2*w = 2*j - 10, 2*w = 3*j - 3 - 2. Let u(i) = -i**2 - 11*i - 14. Let b be u(w). Sort -3, b, 4, 1 in decreasing order.
4, 1, -3, b
Let n = -81 - -85. Suppose -2*l + 4 = -2*v - 0, -8 = -v - n*l. Let o be (0 - 5)*8/(-10). Sort -3, o, v.
-3, v, o
Let k = 174 - 173.923. Let t = 0.423 + k. Sort -2/9, 1/5, t, 1/6 in descending order.
t, 1/5, 1/6, -2/9
Suppose -32 = 3*s - 5*s + 2*a, 0 = -2*s - 4*a + 38. Let w = s + -13. Sort 1/9, w, 0.5.
1/9, 0.5, w
Let t be 2/3 + (-1)/(-3). Let y be 1/((2/(-10))/(16/20)). Sort y, t, -5 in increasing order.
-5, y, t
Suppose 2*l + 120 = -3*l. Let f = l - -12. Let s = 10 + f. Sort -1, s, 4.
s, -1, 4
Suppose 0 = -3*c - 12, -17*c + 6 = -o - 18*c. Put o, -17, -5 in descending order.
o, -5, -17
Let n = -0.1 - 0. Let h = 1775 - 1757. Sort n, 3, h.
n, 3, h
Let g = -1.94 - -0.94. Put 4/15, g, -2 in decreasing order.
4/15, g, -2
Let h be 3*-1 - (-20)/(2 - 0). Suppose 12 = -h*j + 10*j. Sort -26, -3, j.
-26, -3, j
Let k(u) = -2*u**2 - 29*u - 10. Let f be k(-14). Put 276, -4, f in descending order.
276, f, -4
Let p(q) = -q**2 - 5*q + 1. Let v be p(-5). Let u = -38 + 81. Let z = u + -44. Sort z, 2, v in increasing order.
z, v, 2
Let y be ((-106)/6)/((-7)/21). Let f = y + -28. Suppose -7*o + 2*o - f = 0. Put o, 0.2, -0.3 in ascending order.
o, -0.3, 0.2
Let c = 217.1 + -217. Sort c, -1.8, 4 in descending order.
4, c, -1.8
Let p(y) = -y**3 - 3*y**2 + 3*y - 1. Let j be p(-4). Put j, -2, 116 in increasing order.
-2, j, 116
Let t(h) = h**2 + 22*h + 73. Let b be t(-4). Sort 2, b, -12.
-12, b, 2
Suppose 882*i - 888*i - 24 = 0. Let d be (-14)/8 - 1/4. Put i, -3, d in descending order.
d, -3, i
Let x = 270 + -275. Let r = -3 + 1. Sort -3, r, x, 0.5 in ascending order.
x, -3, r, 0.5
Let v = -23 - -20. Let j = 9.1 + -9. Sort v, -1/4, j in ascending order.
v, -1/4, j
Let d be (-506886)/117*2/(-4). Let g = d + -6331/3. Let p = -56 + g. Sort -2, p, -3 in descending order.
p, -2, -3
Suppose 2*w + 4 = 5*d, 0 = -9*w + 4*w - 4*d + 23. Put -1, w, -4 in descending order.
w, -1, -4
Let q be (-109)/(-8) - 16 - 6/(-16). Put -3, 1, 2, q in ascending order.
-3, q, 1, 2
Let n(u) = u + 6. Let c be n(-3). Suppose 16 = -c*d + 2*d + 3*h, 20 = 5*h. Suppose 3*k + 49 = 2*g, 5*g - 482*k + 479*k = 91. Sort g, -3, d.
d, -3, g
Let x = -2.137 - 2.859. Let u = -0.004 + x. Sort -1, 0.1, 12, u.
u, -1, 0.1, 12
Let i = 0.42 + -0.02. Let n be (2 + -4 - -3) + 1. Suppose -21 = j + 4*t, -2*j + t + n = j. Sort i, j, 1/6 in ascending order.
j, 1/6, i
Suppose 3*w - 4 = 5*u - 38, 9 = -3*w. Let v = -589 + 586. Sort 2/3, u, v, 1/5 in decreasing order.
u, 2/3, 1/5, v
Let d be (2/8)/((-9)/(-6)). Let g = -0.29 + 0.19. Sort g, d, -3/4 in descending order.
d, g, -3/4
Let w(s) = s + 8. Let q be w(-6). Suppose -2 - q = -4*g. Suppose -7*c - 5*b = -5*c + 5, -4*b = 12. Put g, -4, c in decreasing order.
c, g, -4
Let l = 2 - -3. Suppose 2*x - 8 = -f, 5*f + 3 = l*x - 2. Suppose 3 = -x*h - 12. Put 5, 4, h in ascending order.
h, 4, 5
Let k be (378/(-45))/(2/(-10)). Put k, -4, 1 in descending order.
k, 1, -4
Let j = 4.59 + -2.59. Sort j, -2/7, -26 in increasing order.
-26, -2/7, j
Let k = -14/209 - -3/19. Let n = -10.5 - -10. Put -0.3, -1/4, n, k in increasing order.
n, -0.3, -1/4, k
Let q = 1.2 + -1.12. Let s = 11.58 + -11. Let f = s - q. Sort 1, f, -5 in descending order.
1, f, -5
Let w = 348 - 347.6. Put w, 0.1, -18, 1 in decreasing order.
1, w, 0.1, -18
Suppose 0 = -21*p - 15*p + 11*p. Put p, -1, -2, 2 in increasing order.
-2, -1, p, 2
Suppose -2*d = -3*p - 2*p - 12, -4*p - 5*d = 3. Sort 8, 1/2, 5, p in ascending order.
p, 1/2, 5, 8
Let o be (-135)/9 + 40/8. Put 4, 0, -4, o in decreasing order.
4, 0, -4, o
Let p = 64.4 - 67.5. Sort -2/9, 2/11, p in decreasing order.
2/11, -2/9, p
Let t be (3 - 2)*(4 + 1). Let i = 38 + -32. Let d = i + -6. Sort 3/5, t, d in decreasing order.
t, 3/5, d
Suppose -40 = -18*b + 10*b. Sort -5, -4, -20, b in increasing order.
-20, -5, -4, b
Suppose -6*c + 20 = -c + 4*d, 4*c + 20 = 4*d. Sort c, 3, -4 in increasing order.
-4, c, 3
Suppose -24*a = -21*a + 3. Sort -4, 5, a, 3.
-4, a, 3, 5
Let t = -66.944 + 63. Let z = t - 0.056. Put 2, z, 3, 0.5 in decreasing order.
3, 2, 0.5, z
Suppose -3*u - 11 = 5*f + 3, 0 = 4*u - 2*f - 16. Let b(o) = -o**3 + 4*o**2 - 5*o + 2. Let i be b(3). Sort u, -5, i in increasing order.
-5, i, u
Let j = 13 - 14. Suppose 13*s = 8*s - 15. Sort j, 5, s in descending order.
5, j, s
Suppose 0 = 2*v - 5*i - 1 + 22, 3*v + i = 11. Let c = v + 2. Let g be (2/c)/(7/(-14)). Sort -6, 2, g.
-6, g, 2
Suppose a + 7*n - 8*n + 4 = 0, 3*n - 9 = 2*a. Sort a, 4, -10/23, -3/7 in increasing order.
a, -10/23, -3/7, 4
Suppose 4*q + 4 = 24. Suppose 74 - 29 = 3*m. Suppose 13*n - 2 = m*n. Put n, q, 1 in descending order.
q, 1, n
Let q(r) = 10 - 13*r - 15 + r**3 + 13 + 8*r**2 - 2*r**3. Let h be q(6). Suppose 3*p + 2*j - 7 = 0, p - 3*j + 3 = -2. Sort h, p, -3.
-3, p, h
Let a(h) = h**3 - 23*h**2 + 4. Let m be a(23). Put -1, m, 0 in decreasing order.
m, 0, -1
Let t(j) = -5*j**2 - 16*j + 2. Let o be t(0). Put 2/69, 4/7, -3, o in ascending order.
-3, 2/69, 4/7, o
Let j be 418/77 + (-14 - -9). Put -1/2, -0.3, -1/5, j in descending order.
j, -1/5, -0.3, -1/2
Suppose 0 = -2*o - 4*t - 3 - 1, 4*o + 8 = -3*t. Let j be ((-9)/(-24) - o) + -2. Sort j, 0, -1 in decreasing order.
j, 0, -1
Suppose -4*t - 6 = 2. Let n be (3/6)/(t/(-20)). Suppose 4*j + 36 = 3*d, j = 2*j + 3. Sort d, n, 1.
1, n, d
Let p = -78.02 - -11.92. Let c = 67 + p. Sort c, -2, 1/3.
-2, 1/3, c
Let r(d) = -d**2 - 4*d - 2. Let p be r(-4). Suppose f - 22 = 3*x + 6*f, -x - 4*f - 19 = 0. Put x, p, 5 in increasing order.
p, x, 5
Let l(d) = 2*d**3 - 12*d**2 - 5*d - 10. Let r be l(7). Let s = r + -54. Let o = -178/5 + 36. Put s, o, 1 in descending order.
1, o, s
Let q(i) = -i**3 - 10*i**2 - 16*i + 5. Let x be q(-8). Let b = 1.25 - 0.95. Sort 0, x, b in ascending order.
0, b, x
Suppose -b = -5*b - 8. Let v = -276 - -277. Put 12, b, v, 0 in descending order.
12, v, 0, b
Let b = -705 + 699. Put 42, -2/13, b in ascending order.
b, -2/13, 42
Suppose 3*o = -7 - 11. Let y be o + ((-2)/1 - -5). Let b be (-117)/27 - 2/(-6). Put y, -8, b in ascending order.
-8, b, y
Suppose -103*m = 68*m + 1026. Put m, 1/28, -3 in increasing order.
m, -3, 1/28
Let u = 63 + -189. Let h = u - -126. Let f = -0.3 - 0.2. Sort -2/23, f, h.
f, -2/23, h
Let c(k) = k**3 - 5*k**2. Let g be c(5). Suppose -2 = 5*l - 4*t - 11, 5*l - 41 = -4*t. Put l, g, -4, 2 in descending order.
l, 2, g, -4
Let k = 1292/3255 - -2/651. Sort -5, 16, k in descending order.
16, k, -5
Let i = -67.5 - -67. Put i, 4, -0.18, 5 in decreasing order.
5, 4, -0.18, i
Let o be (1 - -1) + (-1)/1. Let z(p) = p**2 + 36*p - 32. Let m be z(-37). Sort m, -2, o in increasing order.
-2, o, m
Let z | {
"pile_set_name": "DM Mathematics"
} |
m(0).
-4
Let a(z) be the second derivative of -z**4/24 + 7*z**3/6 - 14*z**2 - 11*z. Let g(s) be the first derivative of a(s). What is g(0)?
7
Let d(q) = -11*q**2 + 44*q**2 - 15*q + 7 - 32*q**2 + 21. Calculate d(12).
-8
Let o be 16/4 + (0 - 1). Let j(z) = -z - 8. Let t(k) = 1. Let w = -6 - -7. Let c(i) = o*t(i) + w*j(i). What is c(0)?
-5
Let l(q) = -q**2 + q + 1. Let c(g) = 5*g - 24. Let k be c(4). Let f be 16/(-32)*k/(-2). What is l(f)?
-1
Let q = -5 - -2. Let j(n) = -9*n**3 - n**2 - 7*n + 4. Let a(g) = -7*g**3 - 5*g + 3. Let v(x) = 5*a(x) - 4*j(x). Determine v(q).
-1
Let z(x) be the third derivative of -x**6/120 - 3*x**5/20 - x**4/3 - 2*x**2 - 11*x. What is z(-8)?
0
Let f(h) = 0*h + 17 + 2*h - 3*h + 2*h + 0*h. Determine f(-13).
4
Let n(a) = -a + 4. Suppose 25 = -0*f - 5*f. Let c(q) = -q + 3. Let p(s) = f*n(s) + 6*c(s). Give p(-3).
1
Let w be (-5 - -9)/(0 - 1). Let m = w - -4. Let s(f) = f**2 + f - 7. Calculate s(m).
-7
Let w be 5 + -3 + 1 + 0 + 1. Let a(k) = -3 - k**2 + 10 + k - 5. Calculate a(w).
-10
Suppose x - 4*x - 4*z = -45, 45 = 3*x - z. Let p(h) = -24 - 23 + 47 - x*h. Calculate p(-1).
15
Let f(c) = 2*c. Let q(g) = -2*g**3 - 7*g**2 + 14*g + 7. Let a(k) = k**3 + 4*k**2 - 7*k - 3. Let w(s) = -5*a(s) - 2*q(s). Let y be w(-7). Determine f(y).
2
Let v(w) = -w**3 - 7*w**2 - 10*w - 6. Let u = -928 + 924. Calculate v(u).
-14
Suppose 984 = -21*b + 33*b. Let h = b + -91. Let x(a) = 2*a + 8. Calculate x(h).
-10
Let t(u) = -u**2 - 3*u + 1. Suppose 4*d = -2*b - 32, 35 = -5*b + 22*d - 23*d. Give t(b).
-17
Let n(r) = -10*r**3 - 17*r**2 + 10*r + 191. Let m(t) = 3*t**3 + 5*t**2 - 3*t - 64. Let j(u) = -7*m(u) - 2*n(u). What is j(0)?
66
Suppose -10*x + 5*x - 3*y = -116, 4*y = -12. Let o(a) = a**2 - 25*a - 5. What is o(x)?
-5
Let u(v) = -4*v + 16*v**2 + 5 - 8*v**2 + 4*v - v**3 - 2*v**2. Determine u(6).
5
Let k(i) be the first derivative of -i**4/4 + 2*i**3/3 + 2*i + 55. Calculate k(4).
-30
Let x(u) = -2*u - 9. Let y(t) = t + 4. Let v(z) = -4*x(z) - 9*y(z). Suppose 778 - 544 = 26*k. What is v(k)?
-9
Let i(b) = b**3 - 2*b + 2. Let c be (3 + (-40)/15)/(1/12). Suppose w - 3 = -4*m + 8, -m - c = -2*w. Calculate i(m).
6
Suppose -19*n = -30*n - 121. Let s(x) = x + 9. Determine s(n).
-2
Let f = -289 - -287. Let m(n) = n + 9. Determine m(f).
7
Let f(v) = -4*v + 9. Let s(k) = -1. Let w(r) = f(r) + 4*s(r). Let l(q) = -4*q + 5. Let x(a) = 2*l(a) - 3*w(a). Determine x(4).
11
Let f(b) = b**3 - b**2 + 3. Let z be f(0). Let d(o) = -6*o**2 - 4*o**3 - 6 - 4 + z*o**3 - o - o**2. Let p be 8/12*(-21)/2. What is d(p)?
-3
Suppose -5*p = 283 + 42. Let z = p + 72. Let o(m) = -2*m + 6. What is o(z)?
-8
Let l = 16 + -108. Let t = l - -86. Let z(w) = -w**3 - 5*w**2 + 7*w + 1. Calculate z(t).
-5
Suppose r = -0*r + 4. Let h = r + -5. Let y(d) be the first derivative of 13*d**2/2 - 6. Calculate y(h).
-13
Let c(q) = 25*q**2 - 11*q - 9. Let g(x) = -9*x**2 + 4*x + 3. Let d(p) = -4*c(p) - 11*g(p). Determine d(-3).
-6
Let l(q) = 3 - 6*q - 6*q - 6*q + 11*q - 3*q**2 + 4*q**2. Determine l(7).
3
Let j(y) = y**2 + 8*y - 17. Suppose 31*p - 41*p - 90 = 0. Give j(p).
-8
Let i(c) be the first derivative of c**3/3 + 7*c**2/2 - 5*c - 4. Suppose 0 = -o - 5*d - 6 - 10, -o + 3*d = 0. Give i(o).
-11
Let g(u) = -u**3 - 11*u**2 - 2*u + 4. Let o(q) = -q**2 + 1. Let f(c) = g(c) - 5*o(c). What is f(-6)?
11
Let l(b) be the first derivative of -b**3/3 + 4*b**2 + b + 3. Let a be l(6). Let j = 12 - a. Let r(k) = 2*k. What is r(j)?
-2
Let f(t) = t. Let k(i) = -14*i + 1. Let p(z) = 6*f(z) + k(z). Suppose 0 = -d + 2. Suppose -2*u + 4 = d*u. Give p(u).
-7
Let t(g) be the first derivative of -g**4/4 - 2*g**3/3 + g**2/2 - 3*g - 336. Let v = 3 + -1. Suppose 0 = v*s + 3 + 3. Determine t(s).
3
Let f(c) = -15*c - 48. Let a(u) = 22*u + 67. Let h(r) = -5*a(r) - 7*f(r). Let l = -3 + -1. Let p be (-3)/9 - l/(-6). Calculate h(p).
6
Suppose u + 2 = -s, -2*s + 3*u + 1 = 20. Let t(f) be the second derivative of f**4/12 + 2*f**3/3 - f**2/2 + f - 3. What is t(s)?
4
Suppose -c + 29 - 31 = 0. Let z(u) = -2*u - 1. Let b(f) = 8*f + 3. Let k(g) = c*b(g) - 9*z(g). Determine k(-5).
-7
Let d = -2536 + 2536. Let p(s) = -s**2 + 4*s - 1. Calculate p(d).
-1
Let p(x) = 10*x**2 - 19*x + 7. Let k(u) = u**2 - 4*u + 2. Let j(v) = 5*k(v) - p(v). Give j(-4).
-73
Let o(q) = q**3 - 4*q**2 - q + 2. Let h(a) = 63*a**2 + a + 0*a**3 - 4*a**3 - 9 - 47*a**2 + 4*a. Let p(y) = 2*h(y) + 9*o(y). Determine p(2).
-6
Let m(v) be the second derivative of 0 + 1/6*v**4 - 1/3*v**3 + 1/2*v**2 - v + 9/20*v**5. Determine m(1).
10
Suppose n + 7 = 4*c, 19*n - 4*c + 33 = 20*n. Let p(z) = -z - 18. Give p(n).
-31
Suppose y + 3 - 5 = 0. Let l(s) = -9*s**2 + 8*s**y - 1 - 4 + 6*s. Suppose 5*x + 4*c + 7 - 20 = 0, 3*x - 3 = -4*c. Give l(x).
0
Let i = 2 - 0. Suppose 3*k - 2*j - 17 = 0, 6*k - 24 = i*k + 4*j. Let f(s) = -27 - 6 + 14 + 14 + 2*s. Determine f(k).
5
Let h(m) = -5*m**2 + 6*m - 5. Let o(g) = -g**2 + g - 1. Let l(t) = h(t) - 6*o(t). Let v(b) = -2*b**2 - 7*b + 3. Let q(y) = 3*l(y) + v(y). Calculate q(4).
-6
Let v be ((-2)/6)/((-1)/6). Let j(t) = t + v + 8 + 0*t + 3*t**3 - 9. Let u = -13 + 12. Give j(u).
-3
Let z(q) be the first derivative of 4*q**2 + 3*q - 4. Suppose 13*y = -4 - 35. What is z(y)?
-21
Let b(g) = -11*g**3 - 13*g - 4. Let v(j) = 2*j**3 + j**2 + 2*j + 1. Let f(x) = b(x) + 5*v(x). Let k = -5 + 9. What is f(k)?
5
Let u = 2690 + -2688. Let f(t) = -1 + 3*t + 0*t - t**2 + 2. Determine f(u).
3
Let w(g) = g**2 - 3*g - 1. Let b be (10/15)/(4/42). Let f = b + -13. Let s be ((-6)/(-9))/(f/(-27)). Give w(s).
-1
Let v(p) = -p**3 - 8*p**2 - 11. Suppose -4*y + b - 32 = 0, 2*y = 3*b - 26 + 10. What is v(y)?
-11
Let m(h) = 14*h + 41. Let v(x) = 5*x + 14. Let b(c) = 3*m(c) - 8*v(c). Let a be b(-8). Let t(r) = -r**3 - 6*r**2 - 5*r + 3. What is t(a)?
3
Suppose 0 = 53*h + 11*h + 320. Let q(l) = 2*l + 15. Determine q(h).
5
Let u(j) = -j**2 + 2*j + 4. Let m be u(3). Let p(l) = -l**2 + 43*l - 24*l - 7*l**3 + 2*l**2 - 20*l. Give p(m).
-7
Let a = 320 + -325. Let y(m) = -2*m**2 - 10*m + 3. What is y(a)?
3
Suppose 4*h - 26 = -2*b - 0*h, 5*b - 10 = h. Let f(q) = -q**3 + 4*q**2 + 5. Let m be f(4). Let y(g) = g**2 - 1 - g - m*g**2 - g**b + 5*g**2. What is y(0)?
-1
Let h be (6 - (-140)/(-24))*3. Let k(z) be the first derivative of 4 + 7*z - h*z**2. Calculate k(6).
1
Let g(i) be the second derivative of i**3/6 + 5*i**2/2 - 10*i. Suppose 4*a + 8 + 12 = -y, 2*y - 20 = 4*a. Determine g(y).
5
Suppose 0 = 14*b - 12*b + 12. Let h(c) = 11*c**2 - 5*c + 5. Let d(o) = -9*o**2 + 5*o - 4. Let v(y) = b*d(y) - 5*h(y). Determine v(-4).
3
Let x(v) = 3*v - 11 + 32 - 6 - 26*v**2 - 7 - 6. Give x(-1).
-27
Suppose 5*u = 7*u - 5*j - 8, 16 = -2*u - j. Let t(n) = n**2 + 3*n - 8. What is t(u)?
10
Let m = -5633 + 5625. Let i(j) be the second derivative of -j**3/6 - 3*j**2 - j. Calculate i(m).
2
Let b(h) = 16*h**3 + 30*h**2 - 52*h + 45. Let a(r) = -3*r**3 - 6*r**2 + 10*r - 9. Let q(z) = 11*a(z) + 2*b(z). Give q(-7).
-2
Let l(x) = x**3 - 9*x**2 - 11*x + 12. Let w be (-8)/76 + 3456/342. What is l(w)?
2
Let w(v) = -v + 4. Let z be (9*6/45)/(42/140). Calculate w(z).
0
Suppose -2*g = -2, -s = -2*s + 3*g + 5. Let t(c) = -4*c + 10. Determine t(s).
-22
Let g be (-3 + (-2 - -4))/(51/(-357)). Let w(f) = -f**2 + 7*f - 5. Give w(g).
-5
Let d = 10 - 17. Let w(r) be the third derivative of r**7/2520 + r**6/120 + 11*r**5/60 - 7*r**2. Let y(h) be the third derivative of w(h). Calculate y(d).
-8
Let n(a) = a**3 - 2*a**2 + 6*a + 3. Let l(b) = b**2 + b - 1. Let r(c) = -6*l(c) + n(c). Calculate r(8).
9
Let a(f) = f**2 - f**3 - 3 + 1 + 0. Let r(n) = -n**2 - 17*n - 28. Let o be r(-15). Suppose 5*w = -3*x + o*x - 25, -3*x - 4*w - 20 = 0. Determine a(x).
-2
Let q(t) = 9 + 2*t**3 - 12*t + 7*t**2 - 2*t**2 + 35*t + 12. Let v(w) = w**3 + 3*w**2 + 11*w + 10. Let c(f) = -4*q(f) + 9*v(f). Calculate c(-6).
0
Let w(q) = 20*q + 95. Let u be w(-5). Let p(r) = r**3 + 4*r**2 - 5*r + 4. Determine p(u).
4
Let p(n) = -n**2 + 3*n + 5. Suppose 13*b - 8 = 11*b. Suppose -2*c = i - 6, -c + 0*c - 4*i - b = 0. Give p(c).
1
Let s(g) = -g**2 - 2*g - 19 + 42 - 20. Suppose 3*m + 5*c = 9, -7*c = -2*c. Suppose 0 = -m*b - 2*r + 19, -b = -3*b + 5*r - 19. Give s(b).
-12
Let b(f) = 4*f**3 - f**2 + 3*f + 8. Let w(i) = -7*i**3 + 3*i**2 - 6*i - 14. Let z(p) = 5*b(p) + 3*w(p). | {
"pile_set_name": "DM Mathematics"
} |
2*c. Suppose c*s = -s. Suppose -4*v - 16 = s, -3*j + 0*v = 2*v - 28. What is the units digit of j?
2
Let d = -12 + 11. What is the units digit of 40/25*(14 - d)?
4
Suppose -20 = -4*u - 5*y + 14, 4*u + 4*y = 32. Let x = u + -8. What is the units digit of 15/x*12/(-10)?
9
Let k(u) = u**2 + 8*u - 4. Let x = -3 - -7. Let o(c) = -1. Let q(i) = x*o(i) - k(i). What is the units digit of q(-7)?
7
Suppose -3*s + s = 38. Let r = s + 33. What is the tens digit of r?
1
Suppose 6*w = 2*w + 152. What is the tens digit of (w/(-8))/(4/(-16))?
1
Suppose 3*y - 2*y = -48. Let r = y - -79. What is the tens digit of r?
3
Let z(c) = c**2 - 3*c + 5. Let w(b) = -b - 1. Let m(h) = w(h) + z(h). Let o be ((-2)/(-4))/(1/10). What is the units digit of m(o)?
9
Suppose 5*j + 1 = -14. Let u = -3 - j. Suppose 32 = 4*g - 4*z, -g + 0*g + 4*z + 5 = u. What is the units digit of g?
9
Let q be (45/(-10))/((-3)/4). Suppose q = -m + 3*j, 5*j = -4*m + j + 40. What is the units digit of m?
6
Let x be (1 + -4)*(-6)/2. Suppose -2*z = -c - x, c + 4*c = 4*z - 27. What is the units digit of z?
3
What is the tens digit of (3 - 4)/(-1) + 48?
4
Let g(a) = 0*a**3 - 6*a + 4 - 4*a**2 - a**3 - 3*a**2. Let n be g(-6). Suppose w + 0*w - 2 = 3*z, -4*w + 8 = -n*z. What is the units digit of w?
2
Let o be ((-30)/(-18))/((-10)/(-36)). Let b = 28 - o. What is the units digit of b?
2
Let f be 8/20 + (-46)/(-10). Suppose 3 = -4*w - 5*t + 6, 0 = -f*w - 4*t + 15. Suppose w = s - 0. What is the units digit of s?
7
Suppose -4*i - 6 = -3*i. Let w be (-50)/i + 2/(-6). What is the units digit of 2/w*-2*-4?
2
Let l = 389 + -815. What is the tens digit of l/(-24) + 2/8?
1
Let h = 0 + -2. Let x be 1*h*(-6)/4. Suppose -x*k - 2*k + 22 = -2*l, -3*k + 16 = -4*l. What is the units digit of k?
4
Let p be (5 + -2)/(6/4). Suppose -p*g - 2*a + 18 = -4, 5*a = 25. Suppose c - g*c = 5*i + 15, -2*i - 2 = c. What is the units digit of i?
1
Let l = -89 - -151. Suppose -r = -3*k - 26, -k + l = 5*r + k. Suppose -i + 2*n - 3*n + 10 = 0, -3*i + r = -5*n. What is the units digit of i?
8
Suppose -4*b + 85 - 9 = 0. What is the tens digit of b?
1
Let z(f) = -3*f**2 - 2*f**3 + 5 + 4*f**2 + f**3 + 3*f**2. Let m be z(4). Suppose 4*c = 4*b + 4, 2*b + 2*c = 5 + m. What is the units digit of b?
2
Let m = 13 - 19. What is the units digit of (-8)/6*m/2?
4
Let q(x) = 5*x**2 - 3. What is the tens digit of q(-3)?
4
Let b = -7 - -11. Suppose -b*k + 36 = 4*z, -3*k = -2*z - 5 - 7. Let j(v) = v**3 - 5*v**2 - 6*v + 9. What is the units digit of j(k)?
9
Let i be 4/6 - (-2)/(-3). What is the tens digit of i + 46/(1 + 1)?
2
Let b(x) = -x**3 + x**2 + 2*x + 35. What is the units digit of b(0)?
5
What is the hundreds digit of -1 + -2 + -6 + 0 + 183?
1
Let t(d) = -d**3 - 20*d**2 - 18*d + 21. What is the units digit of t(-19)?
2
What is the hundreds digit of 207 - (4 - (8 + -3))?
2
Let q(p) = p**2 + 11*p + 8. Let n be q(-11). What is the tens digit of (-2)/n + 89/4?
2
Suppose 0 = -p - 0 + 28. What is the units digit of p?
8
Let o be 6 + -1 - (0 - 2). Let w(l) = -o*l - 2 - 2*l**2 + 9 + l**3 - 5*l**2 + l**2. What is the units digit of w(7)?
7
Let b = 0 + 4. Suppose 3*o + 0*y - 34 = 2*y, o + b*y = 16. What is the tens digit of o?
1
Suppose 6*m - m - 95 = 0. Suppose -u = -o - m, 0*u - 4*u - 2*o = -52. What is the tens digit of u?
1
Suppose -4*f - 7*w + 26 = -2*w, -5*w = -10. What is the units digit of f?
4
Let l(k) = -k**2. Let p be l(1). Let t be (-1)/(-2 - (p + 0)). Let f = 2 + t. What is the units digit of f?
3
Let v be -4*1/2*-22. Suppose -3*k - k + v = 0. Let n = k - 7. What is the units digit of n?
4
Let p(h) = 28*h. Let q(n) = n**2 + n - 1. Let b be q(-2). Let m be p(b). Let s = m + -16. What is the tens digit of s?
1
Suppose 0*d - 2*d = -m - 10, 5*d + 3*m - 3 = 0. Suppose -2*o = d*o - 60. What is the tens digit of o?
1
Suppose 3*f - q - 28 = 0, q + 0*q + 4 = 0. What is the tens digit of (-20)/(-6)*(7 + f)?
5
Let u be 1/(((-4)/(-10))/2). What is the tens digit of 52/u + (-12)/30?
1
Let z = -40 + 66. Suppose 7*q = 3*a + 3*q - z, -18 = a + 4*q. What is the units digit of a?
2
Let q(s) = 5 + s + 0 + 3. What is the units digit of q(-4)?
4
Let u = 520 - 264. What is the hundreds digit of u?
2
Let i(k) = -32*k + 11. What is the hundreds digit of i(-4)?
1
Let i(t) = -2*t**3 - 4*t**2 - 3. Let r = 2 + -5. What is the units digit of i(r)?
5
Suppose 4*c - 56 = 4*b, 5*c = b + 41 + 17. Let s = 12 - c. What is the units digit of s?
1
Suppose 0 = 34*x - 31*x - 318. What is the tens digit of x?
0
Let n be -2 - 2*(-9 - -2). Suppose 2*t - 2*q = -t + 11, 4*t - 2*q = n. What is the units digit of t/((-1)/2) - -21?
9
Suppose -l + 2*q - 1 = 3, -5*l + 24 = q. Suppose 0*d - l*d - t + 14 = 0, d = -t + 5. Let w(o) = o**2 + 3. What is the tens digit of w(d)?
1
Let u = -6 + 7. What is the tens digit of (45/3)/u + 3?
1
Suppose 0 = 4*o - 0*o - 1120. What is the hundreds digit of o?
2
Let a(y) = y**2 + 4*y - 2. Let s be a(-5). Suppose 0*h = 3*h - k - 15, 18 = s*h - 2*k. Suppose -24 + 4 = -h*x. What is the units digit of x?
5
Let j(k) = -19*k + 43. What is the tens digit of j(-14)?
0
Let g = 67 - 36. What is the tens digit of g?
3
Let s(l) = -l**3 + 4*l**2 + 11*l - 5. What is the units digit of s(5)?
5
Let y be 2 + 11 + -2 + 2. Let p = 32 - y. Let s = p - 5. What is the units digit of s?
4
Suppose l + 5*h = 27, l = -2*l - 3*h + 33. Suppose x - 6 = l. What is the units digit of x?
3
Suppose -4*p = 3*o - 86, 2*o - 67 = -2*p - 7. What is the units digit of o?
4
Let c(x) = -x**2 - 1. Let v(d) = 3*d**2 - 3*d. Let i(s) = -2*c(s) - v(s). Suppose 4*g - 6 - 2 = 0. What is the units digit of i(g)?
4
Let s = 6 - 4. Suppose -3*x = d - 41, s*d - 55 = 4*x - x. What is the units digit of d?
2
Let i(u) = -u**2 + 8*u + 8. Suppose 0 = 5*r + 4*w - 50, -3*r = -2*w + 4 - 12. Let p be i(r). Suppose -5 = f - p. What is the tens digit of f?
1
Let t = -3 - -5. What is the tens digit of (-21 - t)*(-2)/2?
2
Let o(j) = -j**2 - 23*j - 12. What is the units digit of o(-19)?
4
Let m(w) be the second derivative of w**4/12 + 7*w**3/6 - w**2/2 + 3*w. Let f be m(-7). What is the units digit of 0 - -1 - 2/f?
3
Suppose -7*g + 112 = -5*g. What is the units digit of g/(-12)*(-3)/2?
7
Let a = -20 - -4. Let j = a - -10. Let x = -5 - j. What is the units digit of x?
1
Suppose -3*h + 4 = -2*b, 0 = -0*h - h - 2. Let k(w) = 0 + 3*w + 2 - 1 + w**2. What is the tens digit of k(b)?
1
Let h be (-2)/(3/(36/(-8))). Suppose -11 = -5*r + 3*r - j, 3 = h*j. What is the units digit of r?
5
Let h = 196 + -105. What is the units digit of h?
1
Let t(p) = 3*p + 3. Let n be t(4). Let k = -4 + n. Let h = k + -5. What is the units digit of h?
6
Suppose 0 = -2*f + 3*f - 2. Suppose -f*g + 15 = 3*g. Suppose a - 2 = g. What is the units digit of a?
5
Suppose -4*w + 72 = -0*w. What is the tens digit of w?
1
Let r = -1 + 18. Let w = 28 - r. Suppose -3*v = -f - w - 6, 0 = v + f + 1. What is the units digit of v?
4
Suppose 288 = 6*a - 24. What is the tens digit of a?
5
Let m be -4 - -1 - -4 - -3. Suppose 4*s = 4*k + 4, 4*s + 3*k - 10 - 1 = 0. Suppose -m*j + 22 + s = 0. What is the units digit of j?
6
Suppose 3*q - 136 = -4*f + 7*q, -186 = -5*f - 3*q. What is the tens digit of f?
3
What is the tens digit of 561/15 - (-6)/(-15)?
3
Suppose 169 = 5*m + 29. What is the units digit of m?
8
Let i = 174 + -89. What is the units digit of i?
5
Let q = -26 - -40. What is the units digit of q?
4
Let m = 74 - 59. What is the units digit of m?
5
Suppose -3*u + 91 + 156 = -2*v, -u + 4*v + 69 = 0. Suppose -p - 4*p = -u. What is the tens digit of p?
1
What is the units digit of 2592/28 + ((-72)/(-21) - 3)?
3
Let a(d) = d**3 - 2*d**2 - 2*d + 1. What is the units digit of a(4)?
5
What is the units digit of (-4 + 32 - 2) + 3?
9
Let w(u) = -u**3 - 11*u**2 - 9*u + 13. Let n be w(-10). What is the units digit of n + (1 - (-3 - -2))?
5
Suppose -33*n = -34*n + 34. What is the units digit of n?
4
Suppose -9 - 7 = -4*c. Suppose 39 = 5*j - 2*t, -8*j - c*t = -3*j - 57. What is the units digit of j?
9
Let x(i) = 2*i + 4. Let a be x(-5). Let m be ((-3)/a)/((-1)/(-6)). Suppose m*c + 19 = 5*n - 46, -4*c = -4*n + 60. What is the units digit of n?
0
Suppose 0 = -3*w - 2*w + 225. Let h = w - 14. What is the tens digit of h?
3
Suppose h - 4*h - 48 = 2*q, 3*h = -4*q - 84. What is the units | {
"pile_set_name": "DM Mathematics"
} |
Which is the nearest to -1/2? (a) 0.1 (b) -11/4 (c) 16
a
Which is the closest to -1252? (a) -0.4 (b) -3 (c) -50 (d) -0.2 (e) -1
c
What is the closest to 32 in 1/6, -13/6, 1, -0.22?
1
What is the nearest to -0.2 in 8, 7, 0.4, 28, -0.3?
-0.3
What is the nearest to -1 in -0.5, 0.03, 2, 3/77?
-0.5
What is the closest to -3 in -5, -2, -1806?
-2
Which is the closest to 2/7? (a) 2 (b) -127 (c) -2/3 (d) 38
c
What is the nearest to 2/11 in 2/7, -2, -1, -2.6, -1085?
2/7
What is the closest to 2 in -4, -20.5, -23, -1/3?
-1/3
What is the nearest to 2/135 in 0.2, 1, 0?
0
Which is the nearest to -2/5? (a) 1/4 (b) -2/17 (c) 2/7
b
What is the nearest to -1/2 in 10, 0, 219, 0.4?
0
What is the nearest to -4 in 3/422, 1/3, 0.3, -2?
-2
What is the closest to 6 in -167.96, -1, -1/7?
-1/7
What is the nearest to -0.05 in 0.1, 1/24, -11?
1/24
What is the nearest to -164 in 0.25, 2, 5?
0.25
What is the closest to 47 in 22, -3/2, 1.2?
22
What is the closest to -0.4 in -0.9, 0, -3, -1.9?
0
What is the closest to -1/4 in -273.1, -3/2, -293?
-3/2
What is the nearest to 30 in -5/7, 0.03, -4, 24, -0.5?
24
Which is the nearest to 64.2? (a) 2/3 (b) 1/4 (c) -6
a
What is the closest to 2/3 in -0.2, 8/15, 0?
8/15
Which is the nearest to -1? (a) -13 (b) -4/9 (c) 20
b
What is the nearest to 3/59 in -3, 3, 6, -0.7?
-0.7
Which is the closest to 2? (a) 2/7 (b) 111/4 (c) -1/3
a
What is the nearest to 8 in 1/9, 2/11, 8, 7, 0.3?
8
Which is the nearest to 0.1? (a) 4 (b) -21 (c) -0.0721 (d) 0
d
Which is the closest to 1? (a) 2/7 (b) -11/96 (c) 0.2 (d) -5
a
Which is the closest to 0.1? (a) -2/15 (b) 1535 (c) 2
a
Which is the closest to 0? (a) -0.06 (b) -4150/11 (c) -4
a
What is the nearest to 1 in -2, -547, 0.2?
0.2
What is the closest to 2 in 0.5, -0.30616, 3/2, -5?
3/2
Which is the closest to 1? (a) 0.3 (b) 22/23 (c) -1 (d) 4/7 (e) 27/5
b
Which is the closest to 10/13? (a) -0.3 (b) -7.9 (c) 2/5
c
Which is the closest to 2/7? (a) -2/27 (b) 0.28 (c) -4
b
Which is the nearest to -2/3? (a) 0.9 (b) -0.4 (c) 4 (d) 139
b
Which is the nearest to -117? (a) 0 (b) 16 (c) -2/9 (d) -1/8
c
What is the closest to 1/4 in -14, -2, 2, 695?
2
Which is the nearest to 0.1? (a) 1 (b) 23.9 (c) -1/7 (d) 14
c
Which is the nearest to -3? (a) 1625 (b) -0.5 (c) -2 (d) 8 (e) -1
c
Which is the nearest to 2/11? (a) 3 (b) 0.0846 (c) 2/9 (d) 0.3
c
Which is the nearest to 1/6? (a) -0.2 (b) -1/2283 (c) -1
b
Which is the nearest to 3? (a) 3/2 (b) 4 (c) -5 (d) -11 (e) 9.7
b
Which is the closest to -5? (a) -4 (b) 1033 (c) 2/3 (d) 0.1
a
What is the nearest to -0.1 in 0.03, 3, 0, 0.16, -6?
0
What is the nearest to -5 in -2/3, 0.2, 125?
-2/3
What is the nearest to 4 in -2/7, -0.03, -3, -4/25?
-0.03
Which is the closest to -4? (a) 8 (b) -4/37 (c) -2/59
b
What is the closest to -1/4 in -3, -6, -1574, -4?
-3
What is the closest to -105 in 18, 3, -0.4, 4?
-0.4
What is the nearest to -76.18 in 1/3, 3/8, 1?
1/3
Which is the closest to 11? (a) 3/5 (b) -1/15 (c) 3
c
What is the closest to -2/17 in 2/25, -1, -3/206?
-3/206
What is the closest to 22 in 0.2, 2, -3, -20?
2
What is the closest to 0.1 in 0.2, -0.1, 91, 2/7, -1/2?
0.2
What is the nearest to 2 in -2/13, 2/7, -1/7?
2/7
Which is the closest to 1? (a) 7 (b) -2.3 (c) 49 (d) 4 (e) -2.8
d
Which is the closest to 1? (a) -0.3 (b) 662 (c) 1/8
c
Which is the closest to -1? (a) 0.3 (b) 9 (c) -3 (d) -1/160
d
What is the closest to -0.1 in -0.4, 3, 85, -41?
-0.4
Which is the nearest to 1? (a) 47 (b) 0.1 (c) 89
b
What is the nearest to 1 in -0.406, 5, 118?
-0.406
Which is the nearest to 3? (a) -3 (b) 8 (c) 4 (d) -12 (e) 1
c
What is the closest to 0.62 in -0.1, -1.06, 2, 0, 2/3?
2/3
Which is the nearest to 0.1? (a) 11993 (b) -0.5 (c) 3/7 (d) 3
c
Which is the closest to -1? (a) -0.3 (b) 26 (c) 0.11 (d) -16
a
Which is the closest to 2/3? (a) -1 (b) -37/4 (c) 0.3 (d) -17
c
What is the closest to -2/7 in -1/3, -2/5, 1/12, -2, 0.1?
-1/3
Which is the closest to 1.8? (a) 3 (b) -3/4 (c) -0.41 (d) 1/5 (e) 1/4
a
What is the nearest to -2 in -5, 185, -202?
-5
What is the closest to 0.99 in 25, 24, -2?
-2
Which is the closest to 1? (a) 3/2 (b) -4 (c) -22398
a
What is the closest to 0.14 in 0.1, 2/11, -5, -1.79?
0.1
What is the nearest to 2 in 5, 99, 1/13, -0.55?
1/13
Which is the nearest to -3/5? (a) 1 (b) 66 (c) 3
a
What is the closest to 9 in 14/3, -5, -2/7, -0.2?
14/3
Which is the closest to -2/5? (a) 1 (b) 3 (c) 1/5 (d) -1.3 (e) -10
c
Which is the closest to -1? (a) 2/11 (b) 11077 (c) -1/2 (d) 4 (e) -5
c
What is the nearest to 0.0485 in -0.1, -5, 17, -2/3?
-0.1
Which is the nearest to -4? (a) -1/4 (b) -74/63 (c) -2
c
Which is the nearest to 420? (a) -0.2 (b) 0.11 (c) 0 (d) 2/3
d
What is the closest to -1/4 in 0, 129, 0.3, -0.3?
-0.3
Which is the nearest to 0? (a) -2/7 (b) 1/11 (c) 4.6
b
What is the nearest to 0 in 2/407, -3/10, -3/7, -2?
2/407
What is the nearest to -6 in -0.5, -0.0678, 0.3, 4?
-0.5
Which is the closest to 1? (a) -102 (b) -5 (c) 19
b
What is the nearest to -3132/7 in 3, 4, -2/5?
-2/5
What is the nearest to 2 in 15/2, 20, -0.8, 3?
3
What is the closest to -3 in -0.2, -50.2, 8, 0?
-0.2
What is the nearest to 19 in 0.1, 40, -3/4, -2/9?
0.1
Which is the closest to 7? (a) 1 (b) 8 (c) 0 (d) 105
b
What is the closest to -510 in -0.3, -218, 5/3, 0.3?
-218
What is the closest to 75 in 3/4, -0.6, 2/15, 0?
3/4
Which is the nearest to -1452? (a) -2 (b) -817 (c) 2 (d) -1
b
Which is the nearest to 5? (a) 2/19 (b) 4 (c) -5 (d) 2 (e) 1.39
b
What is the nearest to 1/3 in 7/3, 5, 112/9?
7/3
Which is the nearest to 212/27? (a) -7 (b) 0 (c) 5 (d) 3
c
Which is the closest to 3/4? (a) -1/2 (b) 1/4 (c) 1/6 (d) -30
b
What is the closest to -2 in 108, -4, -189?
-4
Which is the nearest to -45.1? (a) 2/9 (b) -0.23 (c) 1/3
b
What is the closest to -0.06 in 6, -9, -1/2?
-1/2
What is the closest to -1 in 18, -3/4, 2, -2, 6?
-3/4
What is the closest to -0.07 in 0.1, -2, -11/5?
0.1
Which is the nearest to 55? (a) -5 (b) -4 (c) 2/11 (d) -10
c
Which is the closest to 2/11? (a) -18/11 (b) -316 (c) -3/5
c
What is the closest to 224 in 3, 1/77, -4/7?
3
Which is the closest to 0.08? (a) -5 (b) 3/5 (c) 3 (d) -1172
b
Which is the nearest to 1? (a) 36/5 (b) 0.5 (c) -0.02 (d) 4/9
b
Which is the nearest to 7? (a) 19 (b) -42 (c) -3
c
Which is the nearest to -1? (a) -0.1 (b) 1/4 (c) -2 (d) -0.3 (e) -173
d
Which is the nearest to 5? (a) -13 (b) 3 (c) -93 (d) -1
b
What is the nearest to -0.02 in -2, -3/8, -2/5, -1/6, 8?
-1/6
What is the closest to 2/3 in 0.088, 1/6, 5.7, -0.04, -3/5?
1/6
What is the closest to -908 in 1, -0.4, 3/5, -0.3?
-0.4
What is the closest to -0.09 in 13/9, -4, 2/3?
2/3
Which is the nearest to -38? (a) -0.51 (b) -3 (c) -20
c
Which is the closest to -4? (a) -1/13 (b) 0.057 (c) -0.32
c
What is the closest to -6/5 in 139, 5, -4/7, -1/3?
-4/7
Which is the closest to -2/121? (a) 0.4 (b) -3/2 (c) 8 (d) -3/5
a
Which is the nearest to -2478? (a) 1 (b) -2/19 (c) -0.4
c
Which is the closest to 3? (a) -0.608 (b) 2 (c) -0.3 (d) 1
b
Which is the nearest to -2153? (a) -2 (b) -0.5 (c) -0.4
a
What is the nearest to 110 in -2, -1/3, 0.057, 1/6?
1/6
Which is the nearest to 0.1? (a) -2 (b) -4/5 (c) 2681
b
What is the closest to -1/3 in -2, 4, 5/131, 2?
5/131
What is the closest to 3 in 3, 1/3, -2, -3/509?
3
Which is the closest to -0.1? (a) -46362 (b) 2/13 (c) -0.1 (d) -0.3
c
Which is the nearest to 2? (a) -0.6 (b) -0.2 (c) 3/5 (d) 0.439
c
What is the closest to 1778 in 3, 2/3, 0, -0.5?
3
Which is the nearest to 1? (a) -16/25 (b) 0 (c) -97
b
Which is the nearest to 2? (a) 1/8 (b) -3 (c) 3 (d) 0.31
c
Which is the closest to -2/7? (a) -0.3 (b) -1 (c) 9 (d) 39 (e) 0.3
a
What is the nearest to -1/5 in -1, 2.006, -2/9, 0.05?
-2/9
Which is the nearest to -11/7? (a) -11 (b) 1 (c) 12.1
b
Which is the nearest to -19? (a) -0.139 (b) 5 (c) -2/9
c
What is the closest to 1 in -0.1, -19, -8/3, 5, -1?
-0.1
What is the nearest to -0.06 in 0.1, -0.18, -5, 1/2, 12?
-0.18
What is the nearest to 6 in -5/2, 0.02, -12.5, 1/4, 5?
5
Which is the nearest to 3? (a) 0.99 (b) -21 (c) -5 (d) 1
| {
"pile_set_name": "DM Mathematics"
} |
Let m(r) = -r**2 - 4*r + 2. Let d(u) = u**2 + 2*u - 1. Let f(x) = -2*d(x) - m(x). Determine i(f(p)).
-118*p**4
Let v(q) = -3*q - 3*q + 4*q. Let s(w) be the first derivative of 0*w - 7/2*w**2 - 38. Give s(v(l)).
14*l
Let c(f) = -2*f**2. Let y(a) = -311395642*a. What is c(y(n))?
-193934491713184328*n**2
Let f(n) = 17*n**2. Let p(u) = -u + 9804997. Give p(f(l)).
-17*l**2 + 9804997
Let q(t) = -43*t**2. Let o(b) be the first derivative of b**4/8 - 37*b**2/2 - 30. Let u(j) be the second derivative of o(j). Determine q(u(k)).
-387*k**2
Let t(b) = -b**2. Let m(r) be the first derivative of r**3/3 - 61*r**2 + 2*r + 2390. Determine m(t(k)).
k**4 + 122*k**2 + 2
Let m(f) = -f - 18. Let t be m(-27). Let x(a) = 4*a**2 + t - 27 + 19. Let g(w) = -w. Calculate x(g(c)).
4*c**2 + 1
Let t(z) = 4*z. Let w(f) be the third derivative of -f**5/60 + 41*f**4/8 + 1018*f**2. What is t(w(v))?
-4*v**2 + 492*v
Let w(y) = -1257*y. Let j(o) = 534*o**2. Determine j(w(t)).
843746166*t**2
Let x(z) = 8*z**2 + 7*z - 21. Let l(i) = -15 + 24*i**2 - 54*i**2 - 3 + 37*i**2 + 6*i. Let v(d) = -7*l(d) + 6*x(d). Let f(a) = 136*a. Determine v(f(s)).
-18496*s**2
Let c(w) = -2*w**2. Let i(k) = 2087*k - 6. Let p(f) = -77220*f + 220. Let t(x) = 110*i(x) + 3*p(x). Determine c(t(q)).
-8736200*q**2
Let u(q) be the third derivative of 13*q**5/120 - 65*q**3/6 + q**2 + 13. Let a(x) be the first derivative of u(x). Let c(h) = 3*h. What is c(a(r))?
39*r
Let o(x) = -2*x. Let v(r) = 6 + 10*r**2 + 2 - 2*r - 3*r**2 - r - 3*r**2. What is o(v(t))?
-8*t**2 + 6*t - 16
Let c(x) = 42*x**2 - 2. Let k(j) be the first derivative of -j**3/6 - 40*j + 52. Let q(g) be the first derivative of k(g). Determine q(c(h)).
-42*h**2 + 2
Let f(v) = -3*v. Let u(a) = 14*a. Let d(t) = 21*f(t) + 4*u(t). Let c(m) = -705*m + 2243*m - 791*m - 782*m. What is c(d(o))?
245*o
Let m(d) = d**2. Let q(k) be the second derivative of -5*k**4/3 + 2*k + 322. Calculate q(m(l)).
-20*l**4
Let v(l) = 9 - 9 + 8*l + 5*l. Let a(t) = -1265*t + 2526*t - 1263*t. What is a(v(j))?
-26*j
Let b(d) = 84*d**2 + 3. Let q(a) = -3*a**2 - 90. Calculate q(b(g)).
-21168*g**4 - 1512*g**2 - 117
Let n(k) = -1178*k - 14581. Let z(g) = -5*g**2. Give n(z(y)).
5890*y**2 - 14581
Let a(l) = -29*l. Let x be 1 + 0 + (-26)/(-2). Suppose -p - 8 = -3*p, -u = -4*p + x. Let s(o) = -148 + 148 - o**u. Calculate a(s(j)).
29*j**2
Let y(n) = -26*n**2. Let j(u) be the first derivative of 52*u**3/3 - u + 1984. Give y(j(h)).
-70304*h**4 + 2704*h**2 - 26
Let t(d) = 9369247*d**2. Let s(h) = -5*h. What is s(t(u))?
-46846235*u**2
Let w(x) = 8*x - 290. Let d be w(39). Let o(k) = 89*k - 66 + d + 22 + 22. Let h(m) = m**2. Calculate h(o(z)).
7921*z**2
Let s be -5 + 56/(8 - 0). Let f(q) = -s + 2 + 16*q**2 - 88*q**2 + 34*q**2. Let m(l) = l**2. Give m(f(o)).
1444*o**4
Let w(v) = -1797 - 23*v + v**2 + 1860 - 10*v. Let d(f) = -f. What is d(w(l))?
-l**2 + 33*l - 63
Let d(s) = 15*s**2 - 166. Let j(k) = -485*k - 7. Calculate d(j(f)).
3528375*f**2 + 101850*f + 569
Let n(t) = 4*t. Let o(x) = -5. Let g(u) = 1039*u - 30. Let v(f) = -g(f) + 6*o(f). Give v(n(a)).
-4156*a
Let n be (-4)/(-2) - ((-24)/(-6) - 8). Let l = n - -5. Let q(s) = -1 + l*s + 3 - 2. Let a(o) = -5*o. What is a(q(z))?
-55*z
Let p(w) = -84*w**2 - 3*w + 3*w + 61*w**2. Let n(t) be the third derivative of -2*t**5/15 - 2*t**2 - 33. What is n(p(m))?
-4232*m**4
Let v(r) = -313*r**2 - 21*r + 13. Let c(o) = 6*o. Determine v(c(w)).
-11268*w**2 - 126*w + 13
Let s(l) be the third derivative of -l**6/60 - l**5/30 - 39*l**2. Let d be s(-3). Let b(n) = d*n - 36*n + 36*n - 4*n. Let m(k) = 2*k. Determine b(m(j)).
64*j
Let c(w) be the third derivative of -11*w**4/12 + 780*w**2 - 17*w. Let u(z) = -12*z - 4 + 4. What is u(c(r))?
264*r
Let t(l) = 8*l + 13. Let s(j) = -112 - 103 - 120 - 22*j + 336 + 7*j. Give s(t(g)).
-120*g - 194
Let x(m) = -m**2. Let r(k) = -1689*k + 327. Calculate r(x(g)).
1689*g**2 + 327
Let b(r) = -4*r. Let q be (-533)/9 - (-6)/27. Let v = q - -59. Let w(m) = 3*m**2 - 7*m**2 + v*m**2. What is w(b(a))?
-64*a**2
Let a(h) = -h - 62. Let y(r) be the second derivative of r**4/8 + 69*r**2 - r + 11. Let i(p) be the first derivative of y(p). What is i(a(x))?
-3*x - 186
Let i(w) = 3*w - 4. Let c(f) be the first derivative of 33*f**2 + 3058. Determine i(c(d)).
198*d - 4
Let o(z) = z + 2*z + 16*z**2 - 3*z. Suppose 2*v - 2*m = 8, m = 9*v - 6*v - 8. Let n(g) = 23*g**2 - 64*g**v + 22*g**2 + 21*g**2. Determine o(n(f)).
64*f**4
Let v(t) = -t. Let f(u) = -7*u**2 + 5*u - 111. Let n(y) = 4*y**2 - 3*y + 55. Suppose 16 = 5*h + 31. Let x(g) = h*f(g) - 5*n(g). Give v(x(z)).
-z**2 - 58
Let x(o) = 4449*o + 18. Let s(n) = -4447*n - 15. Let h(y) = -6*s(y) - 5*x(y). Let c(b) = -2*b. Determine h(c(q)).
-8874*q
Let q(y) = -300616*y**2. Let m(a) = -3*a**2. What is m(q(u))?
-271109938368*u**4
Let s(r) = 2*r - 8. Let h be s(5). Let m(t) = -2*t + 3*t + h*t + 0*t. Let y(c) = c. Let u(g) = m(g) - 2*y(g). Let a(v) = 10*v. What is a(u(o))?
10*o
Let q(p) = -2010*p. Let s(w) = 1180*w**2. Calculate s(q(a)).
4767318000*a**2
Let w(a) = 4*a. Let y(k) = -11708*k**2 - 53*k + 1. Determine w(y(x)).
-46832*x**2 - 212*x + 4
Let b(l) = 10*l + 374 - 159 - 216. Let q(c) = 3*c + 48. Determine q(b(r)).
30*r + 45
Let v(q) be the second derivative of q + 0*q**2 - 6 + 0*q**3 - 27/4*q**4. Let l(w) = 2*w. Give l(v(k)).
-162*k**2
Let i(h) be the first derivative of -h**3 - 118. Let p(l) = 10*l**2. What is i(p(z))?
-300*z**4
Let d(f) = -150*f**2. Let p(c) be the second derivative of c**4/12 - 109*c**2/2 - 14*c. Let n(x) be the first derivative of p(x). Give d(n(i)).
-600*i**2
Let i(l) = -925*l. Let q(j) = -3*j - 10*j + 2*j - 14*j. Let o(c) = -2*i(c) + 75*q(c). Let k(s) be the second derivative of -s**4/6 + 93*s. What is k(o(d))?
-1250*d**2
Let z(j) = 4*j**2. Let x(b) be the third derivative of 5*b**7/252 - b**5/12 - 8*b**3/3 + 28*b**2 + 2*b. Let a(f) be the third derivative of x(f). Give z(a(k)).
40000*k**2
Let a(g) = 5*g + 62089. Let x(i) = 39*i**2. What is a(x(l))?
195*l**2 + 62089
Let k(y) = -y**2 + 1658*y + 219. Let q(b) = -8*b. Determine q(k(n)).
8*n**2 - 13264*n - 1752
Let i(z) = 3*z. Let j(u) = -3233*u**2 + 1676. Determine j(i(g)).
-29097*g**2 + 1676
Let u(x) = 4*x. Let t(l) be the first derivative of -85*l**2 - 62 - 245 + 3*l**2 + 81. Determine u(t(k)).
-656*k
Let z(n) = 3*n - 2*n - 3*n. Let c(k) = 918*k**2 - 46*k**2 - 659*k**2. Calculate c(z(g)).
852*g**2
Let q(y) = 23709*y**2 - 61. Let b(i) = i**2. Determine q(b(w)).
23709*w**4 - 61
Let k(r) = -2*r**2 - 21. Let f(h) = -3*h - 36. Let o(a) = -7*a - 96. Let i(u) = 8*f(u) - 3*o(u). Determine k(i(s)).
-18*s**2 - 21
Let n = 713 + -538. Let d(x) = -141*x**2 + 288*x**2 - n*x**2. Let f(y) = 2*y. Determine d(f(i)).
-112*i**2
Let j(z) = 34*z - 9. Let i(v) = 68*v - 21. Let m(t) = -2*i(t) + 5*j(t). Let f(g) = 4*g**2. Calculate f(m(u)).
4624*u**2 - 816*u + 36
Let z(g) be the second derivative of g**7/280 - g**4/4 + 31*g**2/2 - 22*g. Let v(a) be the third derivative of z(a). Let j(q) = 13*q. Calculate v(j(u)).
1521*u**2
Let q(x) = -9922*x - 2000. Let k(b) = -b. Determine k(q(p)).
9922*p + 2000
Let m(q) = -2*q**2. Let p(y) = y**3 - 10*y**2 + 8*y + 11. Let n be p(9). Let a(x) = -44*x + 1 - 10*x**n - 117*x**2 - 2 + 44*x. Calculate a(m(h)).
-508*h**4 - 1
Let c(f) be the third derivative of 173*f**4/24 - f**3/6 + 22*f**2 + 4. Let v(o) be the third derivative of o**5/60 + 11*o**2 + 2*o. Calculate v(c(k)).
29929*k**2 - 346*k + 1
Let w(z) be the second derivative of -4*z**3/3 + 2*z + 270. Let a(u) = -30*u**2 - 3*u. Determine w(a(b)).
240*b**2 + 24*b
Let y(x) = x - 18. Let a(o) = -8*o**2 - 2256. Give y(a(z)).
-8*z**2 - 2274
Let b(o) = 2*o**2. Let u(g) = -412*g**2 - 49*g + 48. Let y(r) = 82*r**2 + 9*r - 9. Let j(f) = 4*u(f) + 22*y(f). What is j(b(s))?
624*s**4 + 4*s**2 - 6
Let h(z) = 2*z**2. Let i = 1320 - 2405. Let s(k) = 151*k**2 - 12*k - 4. Let v(m) = 40920*m**2 - 3255*m - 1085. Let t(d) = i*s(d) + 4*v(d). Calculate h(t(c)).
48050*c**4
Let u(t) = -5*t. Let j(p) = 0*p - 693*p**2 - 680*p**2 + 1387*p**2 + 0*p. What is u(j(a))?
-70*a**2
Let q(s) = s + 4. Let y(n) = -155212*n - 1. Determine y(q(z)).
-155212*z - 620849
Let a(z) = -15*z**2 + 32. Let d(j) = -6*j - 254. Give a(d(x)).
-540*x**2 - 45720*x - 967708
Let j(l) = 8*l - 1. Let n(u) = -25*u + 3. Let d(x) = -6*j | {
"pile_set_name": "DM Mathematics"
} |
l place.
0.4
What is 0.07742 rounded to 1 dp?
0.1
What is 0.000155357 rounded to 7 decimal places?
0.0001554
What is -49.433 rounded to one dp?
-49.4
What is -75.25 rounded to the nearest integer?
-75
Round 0.00000064435 to 7 decimal places.
0.0000006
What is 692.5 rounded to the nearest ten?
690
Round 2912.8 to the nearest ten.
2910
What is -0.00055035 rounded to five decimal places?
-0.00055
What is 0.000058428 rounded to 5 dps?
0.00006
What is -113.88 rounded to zero decimal places?
-114
Round -0.02079 to 3 decimal places.
-0.021
Round -0.0020491 to three dps.
-0.002
What is -0.0000559 rounded to 6 decimal places?
-0.000056
What is -38.548 rounded to 1 decimal place?
-38.5
Round 0.00270567 to four decimal places.
0.0027
What is -0.011555 rounded to 3 dps?
-0.012
What is -0.0001628 rounded to four decimal places?
-0.0002
Round -0.0001062 to 5 dps.
-0.00011
Round -0.0077719 to 3 decimal places.
-0.008
Round 1.02658 to 3 dps.
1.027
What is -13.78 rounded to zero decimal places?
-14
Round -1336.2 to the nearest 100.
-1300
What is -0.000114948 rounded to 6 decimal places?
-0.000115
What is -0.0000000263 rounded to 7 decimal places?
0
What is -0.00008828 rounded to five dps?
-0.00009
What is -0.00009034 rounded to 6 dps?
-0.00009
What is -22.233 rounded to zero dps?
-22
What is -0.000000038 rounded to 6 decimal places?
0
What is -3.132 rounded to the nearest integer?
-3
What is 1208.72 rounded to the nearest integer?
1209
Round 0.6216 to 2 decimal places.
0.62
Round -29048 to the nearest 1000.
-29000
Round 2.872 to one dp.
2.9
Round -0.018228 to four decimal places.
-0.0182
Round -0.00040779 to five decimal places.
-0.00041
What is 373970 rounded to the nearest ten thousand?
370000
What is 86450000 rounded to the nearest 1000000?
86000000
What is -0.000013566 rounded to seven decimal places?
-0.0000136
What is 0.000011513 rounded to 7 dps?
0.0000115
What is -29461000 rounded to the nearest 1000000?
-29000000
Round 2705000 to the nearest 1000000.
3000000
What is -0.000059105 rounded to 5 dps?
-0.00006
What is -0.0000344 rounded to 5 dps?
-0.00003
What is 0.0040711 rounded to five decimal places?
0.00407
What is -4150.9 rounded to the nearest 1000?
-4000
What is -64000 rounded to the nearest ten thousand?
-60000
What is -21707 rounded to the nearest one thousand?
-22000
Round 76400 to the nearest 1000.
76000
What is 581 rounded to the nearest 10?
580
What is 0.0000005761 rounded to 7 dps?
0.0000006
Round -128870 to the nearest ten thousand.
-130000
Round -67.41 to the nearest ten.
-70
Round 320000 to the nearest one million.
0
What is -15.26 rounded to the nearest 10?
-20
Round 923000 to the nearest 100000.
900000
Round 0.00001604 to 6 dps.
0.000016
What is 179.96 rounded to the nearest 10?
180
What is 0.000686 rounded to five decimal places?
0.00069
Round 31268000 to the nearest 100000.
31300000
What is -0.00211585 rounded to 4 dps?
-0.0021
Round -0.00000008 to five dps.
0
Round -0.00000060417 to seven decimal places.
-0.0000006
What is 0.0095583 rounded to 3 decimal places?
0.01
Round 0.00000079 to 6 decimal places.
0.000001
What is -0.000583 rounded to five decimal places?
-0.00058
What is -0.0035929 rounded to 4 dps?
-0.0036
What is 90200 rounded to the nearest ten thousand?
90000
What is 0.008078 rounded to three dps?
0.008
What is 0.05194 rounded to 2 decimal places?
0.05
Round 0.0016257 to 5 dps.
0.00163
Round 1419000 to the nearest one hundred thousand.
1400000
What is -10050900 rounded to the nearest one million?
-10000000
What is -0.00004928 rounded to 6 decimal places?
-0.000049
What is -0.0001338 rounded to five dps?
-0.00013
Round 0.3081 to 2 decimal places.
0.31
What is 0.3031 rounded to two dps?
0.3
What is 72.67 rounded to the nearest ten?
70
Round 89209000 to the nearest one million.
89000000
Round -0.322 to two decimal places.
-0.32
Round 322960 to the nearest ten thousand.
320000
Round -0.00002027 to six decimal places.
-0.00002
What is 0.041816 rounded to 2 decimal places?
0.04
What is -0.00000635 rounded to seven dps?
-0.0000064
Round 10.941 to the nearest integer.
11
Round -19.892 to zero dps.
-20
What is -0.000041195 rounded to five decimal places?
-0.00004
Round -2182.4 to the nearest ten.
-2180
What is 47.932 rounded to the nearest integer?
48
What is 0.10599 rounded to 3 dps?
0.106
Round -2177.51 to the nearest 10.
-2180
Round 0.00067 to three dps.
0.001
Round -0.00001113 to five decimal places.
-0.00001
What is -5459 rounded to the nearest one hundred?
-5500
Round 0.0000104 to six decimal places.
0.00001
Round -316.64 to the nearest 10.
-320
Round 10 to the nearest 1000.
0
Round 0.01697 to two decimal places.
0.02
What is 124.63 rounded to the nearest 10?
120
What is 0.000013351 rounded to 7 dps?
0.0000134
What is 4900000 rounded to the nearest one million?
5000000
Round 45765 to the nearest 10000.
50000
What is -116.2 rounded to the nearest 10?
-120
What is 22.77 rounded to the nearest integer?
23
What is -116100 rounded to the nearest one thousand?
-116000
What is 0.056238 rounded to 4 dps?
0.0562
What is 0.00395167 rounded to 3 decimal places?
0.004
Round 563460 to the nearest one hundred thousand.
600000
What is 0.00003137 rounded to five decimal places?
0.00003
What is 174.9 rounded to the nearest integer?
175
What is -294200 rounded to the nearest ten thousand?
-290000
What is 289.1 rounded to the nearest ten?
290
Round 1.2543 to 1 dp.
1.3
Round -0.0002314 to five decimal places.
-0.00023
Round -0.000000868 to seven dps.
-0.0000009
Round 52904000 to the nearest 100000.
52900000
Round -7187000 to the nearest one million.
-7000000
Round 0.016796 to 3 decimal places.
0.017
What is 7056 rounded to the nearest 1000?
7000
What is 226910 rounded to the nearest 10000?
230000
Round -5336 to the nearest 100.
-5300
Round -3.3 to 1 dp.
-3.3
Round 1.216 to one decimal place.
1.2
Round -5700 to the nearest one hundred.
-5700
What is 2.144 rounded to 1 decimal place?
2.1
Round -22062 to the nearest ten thousand.
-20000
Round 10271000 to the nearest one million.
10000000
What is -127244 rounded to the nearest one thousand?
-127000
Round 0.00007755 to five dps.
0.00008
Round 3086.9 to the nearest one hundred.
3100
Round -1.0278 to one dp.
-1
What is 8029000 rounded to the nearest 100000?
8000000
What is -1450 rounded to the nearest 100?
-1500
What is 0.00000788 rounded to six dps?
0.000008
What is -24475 rounded to the nearest 100?
-24500
Round -0.00120019 to 5 dps.
-0.0012
Round 14150900 to the nearest one million.
14000000
Round -3614400 to the nearest ten thousand.
-3610000
Round 1390.76 to the nearest 100.
1400
Round 0.2537 to 2 dps.
0.25
What is 0.00049613 rounded to 4 dps?
0.0005
Round 0.0000026323 to 7 dps.
0.0000026
What is -0.06799 rounded to two dps?
-0.07
What is 2.8293 rounded to two dps?
2.83
Round -113930 to the nearest one thousand.
-114000
What is 7.451 rounded to the nearest integer?
7
What is -1836.4 rounded to the nearest one hundred?
-1800
What is -50.66 rounded to the nearest integer?
-51
Round -3702900 to the nearest 100000.
-3700000
What is 42720 rounded to the nearest ten thousand?
40000
What is -0.0099894 rounded to four decimal places?
-0.01
What is -2514 rounded to the nearest one hundred?
-2500
Round -43 to zero dps.
-43
What is 7723500 rounded to the nearest 100000?
7700000
What is -0.000072233 rounded to six dps?
-0.000072
What is -209.37 rounded to the nearest 10?
-210
What is -0.000001161 rounded to 6 dps?
-0.000001
Round -59901.8 to the nearest one thousand.
-60000
Round 47.7 to the nearest 100.
0
Round 0.000076039 to 7 dps.
0.000076
What is -0.00104889 rounded to 5 dps?
-0.00105
What is 30.301 rounded to 1 dp?
30.3
What is -16442 rounded to the nearest 100?
-16400
Round 0.000002195 to 7 dps.
0.0000022
Round -0.0000145601 to seven decimal places.
-0.0000146
What is -0.0000000327 rounded to 7 dps?
0
Round -1.957 to 1 decimal place.
-2
What is -402610 rounded to the nearest one hundred thousand?
-400000
Round 16977 to the nearest ten thousand.
20000
What is -0.00015315 rounded to six decimal places?
-0.000153
What is -0.017218 rounded to 3 dps?
-0.017
What is -31.3212 rounded to 1 decimal place?
-31.3
Round 0.000049411 to seven dps.
0.0000494
What is 30572 rounded to the nearest 1000?
31000
Round | {
"pile_set_name": "DM Mathematics"
} |
inator of 27/14 and k.
28
Suppose -5*q + 50 = -60. Let f = q - 10. What is the smallest common multiple of f and 66?
132
Let b be 8907/(-35644) - (-1)/4. Let o = b - 810907/53466. What is the common denominator of o and -73/3?
6
What is the common denominator of (-1)/(3/(-2)) - (-689)/(-52) and -74/27?
108
Suppose -5*d + 10 = -70. Let j be (-4)/d - (-62)/(-8). Find the common denominator of (-858)/(-27)*(-6)/j and 39/20.
60
Suppose 2*i - 4*b + 12 = 0, -3*b = -5*i + b. What is the least common multiple of 14 and i?
28
Suppose 0 = -i + 2*g + 12 + 2, -3*g - 31 = -4*i. What is the least common multiple of 9 and i?
36
Let d be (-51)/(-7) - (-4)/(-14). Suppose 7*f - 15 = 2*f - 5*c, -3*f = c - d. Suppose -4 + 0 = -m. What is the smallest common multiple of f and m?
4
Let y = -1292 - -3910/3. Find the common denominator of y and -47/24.
24
Suppose 0*f - 54 = -3*f. Let d be (2 + 1 + -2)*2. Suppose -d*x = x - 60. What is the lowest common multiple of x and f?
180
Suppose -3*s = -4*b - b - 33, 2*s + 4*b = 0. Calculate the lowest common multiple of 40 and s.
120
Suppose 5*k = -3*v - 38, 2*v - 29 = 4*k + 3*v. What is the smallest common multiple of 6 and k - -7 - (1 - 13)?
12
Suppose 3*l + 1 - 4 = 0. What is the smallest common multiple of l and 22/10 + 3/(-15)?
2
Let g(x) = -x**2 - 9*x + 2. Let o be (-4)/6*(-6)/(-1). Let j be g(o). Calculate the common denominator of 40 and (j/(-8))/((-4)/24).
2
Let r(h) = 36*h - 3. Let y be r(2). Let b = 30 - y. Let n = 63 + b. Calculate the least common multiple of n and 14.
168
Let r = 18 + -35. Let b = -5789/6 + 969. Find the common denominator of b and (-6)/24 + r/(-8).
24
Calculate the common denominator of (-3)/(-84)*-242 - -2 and (2/4)/(10/121).
140
Suppose 0 = 2*w - 3*k + 2, -w - 4 = 4*k - 14. What is the common denominator of (-75)/(-21)*(-1 + w) and 41/(3 + 4/2)?
35
Let v(s) = -7*s**3 - s**2 - s. Let k(y) = -y**3 + y**2 - 7. Let t be k(0). Let r = t - -13. What is the smallest common multiple of v(-1) and r?
42
Let q = 66 + -144. Let m = q + 113. What is the common denominator of -85/6 and ((-356)/(-50))/(28/m)?
30
Suppose -3*b - 2*q + 11 = 0, -2*b + 2*q - q = -12. What is the smallest common multiple of b and 8?
40
Suppose 0 = 3*y - 7 - 23. Let z = 32 - y. What is the smallest common multiple of z and 46?
506
Suppose 4*j - 25 = 31. What is the least common multiple of j and 3?
42
Let t be (-4*21/(-6))/2. Let r = 11 - t. What is the lowest common multiple of 4 and r?
4
Suppose 2*m + 12482 + 2706 = 0. Let n = m + 76001/10. Calculate the common denominator of n and -62/3.
30
Let c = -8 + 2. Let q = -27 + 33. Calculate the least common multiple of 8/3*(-27)/c and q.
12
What is the common denominator of -43/10 and (-38)/(-24)*6/(-27)?
270
Let u = 6136 - 61459/10. What is the common denominator of 101/10 and u?
10
What is the smallest common multiple of 20 and -1 - (-1 + 5 - 7)?
20
Let s = -801/11 + 17131/220. What is the common denominator of s and 126/(-24)*10/3?
20
Let s = 1187/51 + 18/17. Calculate the common denominator of s and 23/3.
3
Let x(a) = -a**2 + 10*a + 7. Let h(k) = 2*k**2 + 4. What is the smallest common multiple of x(9) and h(-3)?
176
Let a = -59 - -156. Suppose 289 = 4*f + a. What is the common denominator of -13/2 and 2/3 - 566/f?
8
Let p(i) = -7*i + 3. Let n be p(-5). Let v be (-2 - 1) + (-15)/1. Let z = n + v. What is the smallest common multiple of z and 2?
20
Suppose -4*c = 11 + 13. Let y be (-1)/c + 220/(-24). What is the common denominator of -20/9 and (-6)/y*284/(-8)?
9
Let y be 36 + 1 + (-6)/3. Calculate the smallest common multiple of 10/3*42/y and 1.
4
Let v be 1 - (8202/4)/3. Let b = 7522/11 + v. Find the common denominator of b and 51/4.
44
Suppose -9 = -2*z + z. Find the common denominator of -1/6 and (z/(-30))/(24/(-55)).
48
Let g = -84/61 - 2188/183. Find the common denominator of -36/11 and g.
33
What is the common denominator of -97/8 and -2 + 6/8 - 5?
8
Let w(s) = 2*s**2 - 11. Calculate the smallest common multiple of 39 and w(-5).
39
Let v = -2133/74 + -479225/111. Let d = v - -4362. What is the common denominator of d and -87*-2*(-3)/120?
60
Suppose -3*c + 51 = -153. Calculate the common denominator of -15/7 and c/(-44)*(-1 - -2).
77
What is the common denominator of -45/8 and (-8)/54*(168/(-20))/(-7)?
360
Let z be (-2)/8 + (-35)/20. Find the common denominator of z + (-2)/(-11) - 2 and 170/(-12) - (-1 + 0).
66
Suppose 15*z + 24 = 19*z. Calculate the lowest common multiple of z and 8.
24
Suppose 9 = 4*m - 3*m + 2*d, 0 = m + 4*d - 15. Let f be (-1 + 9)/(m/(-66)). Calculate the common denominator of 33/8 and 8/44 - 738/f.
8
Let g(z) = 9920*z**3 - z**2 + z + 1. Let m be g(-1). Let y = 118987/12 + m. Let s = 25897/154 - 1761/11. What is the common denominator of y and s?
84
Suppose -3*r - 38 = -0*r + 5*b, -r + 4*b = -10. Calculate the common denominator of -53/2 and 268/r*42/112.
4
Suppose 0 = 5*x + 3*a - a - 32, -4*x + a + 23 = 0. Suppose 11 = d + 2. What is the least common multiple of x and d?
18
Let n(y) = y**3. Let q(i) = -i**3 - i**2 - i + 2. Let t be q(0). What is the lowest common multiple of n(t) and 20?
40
Suppose 23471 - 2207 = 3*p. Let g = p - 70943/10. Find the common denominator of -75/4 and g.
20
Suppose 7*c - 3*c = 40. Suppose 2*y = -c, -2*x = 3*x + 3*y + 5. Find the common denominator of (x/(-5))/((-4)/(-77)) and -31/6.
30
Let y(f) = 6*f**3 - f**2 + 2*f - 1. What is the smallest common multiple of y(2) and 8?
376
Let j = -1126 + 22. Let o = j - -11113/10. Calculate the common denominator of o and 17/2.
10
Let z(h) = -h. Let i be z(-2). Suppose i*o = 10 + 8. Suppose 5*f = -2*c + 42, -2*c = 2*f + 3*c. Calculate the least common multiple of f and o.
90
What is the common denominator of (4/(-30))/(3/110) and -39/4?
36
Calculate the least common multiple of 12 and -1*((-280)/(-4))/(-5).
84
Let q = -29 - -23. What is the lowest common multiple of (-2)/3 - 16/q and 9?
18
Calculate the smallest common multiple of ((-28)/(-6))/((-2)/(-6)) and 14.
14
Find the common denominator of (-8073)/230*(-2)/(-12) and 69/4.
20
Let d = 3713/12 - 893/3. Calculate the common denominator of d and 87/40.
40
Let j = 1291587/8 - 161176. Let l = j - 282. Suppose 2*r = 4*r + 5*o - 89, 41 = r - o. What is the common denominator of r and l?
8
Let s be (-16)/12*(-279)/12. Suppose s*j + 54 = 34*j. Calculate the least common multiple of 1*-3*(-4)/6 and j.
18
Let g be ((-2055)/(-45))/(2/(-180)). Let m = 16353/4 + g. Find the common denominator of m and 9/7.
28
Let n = 28 - 84. Let u be 6/8 - (-403238)/n. Let x = u + 7192. Calculate the common denominator of x and 23/18.
126
Suppose 0 = -4*w + 2*j - 14, 3*w = 5*j - 9 + 2. Calculate the lowest common multiple of w/((-4 - -2)/2) and 5.
20
Let k = 3/3290 + -97091/39480. Calculate the common denominator of k and -55/21.
168
Let i(v) = v - 10. Let g be i(6). Calculate the common denominator of 11/8 and ((-459)/24)/((-33)/g).
88
Let g be (-2)/(-12) + 92/(-120). Let x = 11/15 - g. Find the common denominator of (1/20)/((-2)/268) and x.
30
Let a be ((-584 + -3)*1)/(-6). Let x = a - 110. What is the common denominator of -7/4 and x?
12
Let b = 11 + -7. Let o be (-52)/14 - (-10)/(-35). Let d = 5 + o. What is the lowest common multiple of b and d?
4
Suppose 4*u - 3*u - 2 = 0. Calculate the least common multiple of 10 and u.
10
Let p = -451 + 4925/11. What is the common denominator of 50/7 and p?
77
Let c = -1019/10 - -97. Find the common denominator of 103/10 and c.
10
What is the lowest common multiple of 10 and (-4)/1*(-8 - -7)?
20
Suppose -6*i = -3*i - 66. Suppose m - 3 = 2*m. What is the least common multiple of i and (-4)/m + 2/3?
22
Let p be -3 + 4 + 2737/(-4). Suppose -5*l + 2040 = -2*l. Let o = l + p. What is the common denominator of o and -63/8?
8
What is the common denominator of 125/6 and (10 - 10) + 59/9?
18
Let l(i) = i**2 + 7*i + 7. Let h be (-13)/2 - (-3)/6. Let b be l(h). Calculate the common denominator of -1 + ((-291)/(-6) - b) and -9/5.
10
Suppose 0 = -5*n + 20, 4*k - 8 = 4*n + 48. Calculate the smallest common multiple of k and 2.
18
Find the common denominator of (22/(-12))/(8/(-84)) and 39/2.
4
Find the common denominator of 67/3 and 68/22*(-9)/(-6).
33
Let k be 60/(-14) + 4/14. Let q = -7 + 5. Let l = q - k. What is the least common | {
"pile_set_name": "DM Mathematics"
} |
371. Let y = 2.6 + -3.1. Which is the biggest value? (a) j (b) y (c) d
a
Let d = -0.1 - -0.08. Let g = 266.98 + -264. Let a = g - d. What is the biggest value in 2, a, -1?
a
Let s = -307 + 4607/15. Which is the smallest value? (a) 3 (b) 4 (c) -0.1 (d) s
c
Let z be 6/(-2) + (-93)/(-33). Let w be 12 - 2/1*1. Let f = 7 - w. Which is the third biggest value? (a) -3/8 (b) z (c) f
c
Let g = -59 + 58.97. Which is the second smallest value? (a) -2 (b) 0.3 (c) 1/3 (d) g
d
Let w = -17 + 16.9. Which is the third smallest value? (a) 0.4 (b) w (c) -4
a
Let h = 116 - 121. Let k = 10.5 + -13. Let z = k - -0.5. Which is the second smallest value? (a) 2/9 (b) h (c) z
c
Let o be ((-2)/(-4))/((-2)/(-4)). Let g be (8 - 1)/1 + 3. Let i be (32/(-40))/((-12)/g). Which is the biggest value? (a) -0.3 (b) o (c) i
b
Let v = -2.97 - 0.43. Let h = v - 1.6. Which is the third smallest value? (a) 3 (b) h (c) 4
c
Let v = -31 + 37. Let h(l) = 2*l**2 - 1. Let n be h(-1). Let j be 2/6 - (1 - n). What is the smallest value in v, 5, j?
j
Let l = 10.4 - 4.4. Which is the second biggest value? (a) 2 (b) l (c) -5
a
Let n be (1 + -2)/(-1)*-11. Let j be n/(-4) + (-6)/2. Let x be (-6)/8*4/(-6). What is the third smallest value in -0.5, x, j?
x
Let i = 0 + -1. Let r = 53 + -51. What is the smallest value in i, r, -0.2?
i
Let m = 3.3 + 0.7. Suppose 11 = 3*h + 5*r, -r - 1 = -5. What is the third smallest value in h, 2/9, m?
m
Let m = -18 + 18.4. Which is the third smallest value? (a) 0.04 (b) 1/6 (c) m
c
Let y be (-3)/(-5) - 936/(-40). Let o be -2 + (-1)/((-11)/y). Let k = -0.4 + -0.1. Which is the smallest value? (a) k (b) o (c) -4
c
Let v(w) = 24*w - 1. Let d be v(-1). Let l = d + 17. Let j = l - -3. Which is the third biggest value? (a) 2 (b) j (c) -1/4
b
Suppose k - 5*g = -g + 1, 10 = -5*k + 5*g. Let d = 18.8 - 10.5. Let n = d - 8. Which is the biggest value? (a) n (b) k (c) -4
a
Let v be 4/(-14) + 60/14. Let g = v - 3. Let n be 3*(g + 15/(-27)). Which is the smallest value? (a) 0.4 (b) n (c) -2/5
c
Let y = 8 - 5. Let q = -2 + y. Let l = -6 - -10. What is the smallest value in -0.2, q, l?
-0.2
Let o = -223 + 220.98. Let q = o - -0.02. Which is the third smallest value? (a) 2/11 (b) 5 (c) q
b
Let j = 95/4 + -24. Suppose -3*k - 291 = 3*x, 5*x + 46 = -k - 35. Let s = 905/9 + k. What is the second smallest value in s, j, 0.4?
j
Let m = 121 - 121.4. What is the third biggest value in -1, 2, m, 0.3?
m
Let y = -1.1 - -0.7. Let i = 3 + -2. Let f = -0.1 + 0.3. What is the second biggest value in y, i, f?
f
Let d = 0.1 + -0.1. Let r = -66 - -65. What is the smallest value in d, r, -4?
-4
Let v = -3/2 - -29/14. What is the smallest value in -8, v, -2/19?
-8
Let k = -555 - -10542/19. Let o = k - -59/133. Let n = 8 + -13. What is the third biggest value in n, -4, o?
n
Let v = 0.95 - 0.55. What is the fourth biggest value in v, -0.4, -7/2, -0.1?
-7/2
Let t be ((-85)/68)/(2/8). What is the third biggest value in 3/2, t, -12?
-12
Let w = -0.02 + -2.98. What is the second biggest value in w, 5/2, -0.1?
-0.1
Let r = -36 - -23. Let n = 18 + r. What is the smallest value in 0.3, -2/7, n?
-2/7
Suppose 3*y + 710 = -2*y. Let k = -992/7 - y. Which is the second smallest value? (a) k (b) -4/7 (c) 1/4
c
Let x = -35 - -38. What is the biggest value in -4/9, x, -4?
x
Let q = -2 - -5.2. Let l = q + 0.8. Which is the second biggest value? (a) 3 (b) 0 (c) l
a
Let q = 5.7 - 11.7. Let t = -0.5 - -4.5. Which is the third smallest value? (a) -4 (b) q (c) t
c
Let a = -41 + 43. What is the smallest value in 1/2, a, 5, 1/4?
1/4
Let m = -2.01 + 0.01. Let f = -0.8 + 0.2. Let x = -0.4 + f. Which is the third smallest value? (a) 1 (b) m (c) x
a
Let z = 0.05 - -0.05. Let p = z + 3.9. Let w = -1 - p. What is the second biggest value in 2, w, -1/4?
-1/4
Let o = 371 - 379.17. Let z = 0.17 + o. Let d = -8.3 - z. What is the second smallest value in d, -3, -2?
-2
Let r = -4.7 - -2.7. Let h be (2/(-1))/(-2 - 0). Let x = h - 1. What is the biggest value in r, x, 1?
1
Let f = 0 + 0. Let n be f - 0 - 9/7. Let k = 6/7 + n. Which is the third smallest value? (a) 3/4 (b) -0.3 (c) k
a
Let l = -12837/1900 + 3/475. Let y = 7 + l. Which is the smallest value? (a) y (b) -5 (c) -3
b
Let q = -5.2 + 1.2. Let h be 1/3*0 + 3. Which is the second smallest value? (a) h (b) q (c) 1
c
Let l = -3.8 + 4. Let u = 68 - 68. Which is the biggest value? (a) u (b) l (c) 0.07
b
Let x = 4.42 + 0.08. Let w = 0.5 - x. What is the third smallest value in 0.3, -0.4, w?
0.3
Suppose 4*s - 1 + 5 = 0. Let r be (-15)/9 - 2/(-3). Let c be (-8)/3*r/(-4). What is the second biggest value in s, 5, c?
c
Let t = -3.3 - -3. What is the fourth smallest value in t, 2/3, -3/2, -1/2?
2/3
Let o = -2.3 - -2. Let b = 0 - o. Let f(v) = 5*v + 1. Let m be f(-1). What is the third smallest value in -1/8, b, m?
b
Let g = -7 + 7.3. Let j = -0.3 + g. Let f = 0.7 + -1. Which is the smallest value? (a) f (b) j (c) 3/2
a
Let t = 2 - 4. Let j = 20.52 - 21. Let y = -0.18 - j. What is the third biggest value in y, t, -4?
-4
Let b = 5.9 + -6. Let i = -4.9 + b. What is the third biggest value in 0, i, -0.2?
i
Let h = -5.1 + 10.1. Which is the third biggest value? (a) -0.3 (b) h (c) 14
a
Let r = -0.009 - -0.209. What is the biggest value in r, -5, 1, 0.08?
1
Let p = 22 - 21.8. Let n = -2354/4095 - -2/585. Which is the third biggest value? (a) n (b) p (c) 0.5
a
Let i = -0.1 - 0.4. Let m = -1.1 + 0.1. Let d = m - i. Which is the third biggest value? (a) 1/3 (b) 2 (c) d
c
Let v be (-17)/(-4) - 40/10. What is the second smallest value in v, 1, 0, 7?
v
Let b be ((-2)/(-15))/((-4)/(-6)). Suppose -2*m + 7*m = 15, -5*a = m + 282. Let y = -341/6 - a. What is the second biggest value in y, 0.5, b?
b
Let c = 1 - 3. Let s = -21 + 29. Suppose -s = 2*x - 2. What is the biggest value in -4, c, x?
c
Let w = 1.2 + 3.8. Let d = 0.059 - 1.059. Which is the second smallest value? (a) d (b) w (c) -3
a
Let i be 71/84 + -9*(-5)/(-60). Which is the second biggest value? (a) 2 (b) i (c) 5/6
c
Suppose 5*q + 2*i + 2 + 3 = 0, q - 2*i = -13. Let p be -1 + 26/7 + q. Let t = -13 - -9. Which is the biggest value? (a) p (b) t (c) -1/2
a
Let o = -74 + 42. Which is the smallest value? (a) -2/15 (b) 3 (c) o
c
Let n(k) = k**2 - 9*k + 5. Let w be n(9). Let t = -7.7 - -8. What is the third biggest value in t, 0.1, w?
0.1
Let f = 12 - -21. Let l be f/7 - (-4)/14. Let s be (-2)/(-3) + 0/(-5). Which is the biggest value? (a) 4/5 (b) s (c) l
c
Let z = -8.2 - -8.5. Let m = 0.1 + 0.4. Which is the third biggest value? (a) z (b) m (c) -5
c
Let q = 2.6 - 1.6. Let z = -4 - -7. Let v = -2.8 + z. What is the second smallest value in 4, q, v?
q
Let m(d) = -4*d**2 + 27*d + 39. Let q be m(8). Let o(v) = v**3 - 4*v**2 - v - 1. Let g be o(4). Which is the biggest value? (a) q (b) g (c) 4
c
Let f be (-6)/(-45) - 0/(-5). Let v = 2.2 - 2. Let k = v + -0.3. Which is the second biggest value? (a) f (b) -5 (c) k
c
Let t = 0.3 + -0.5. Which is the second biggest value? (a) 2/11 (b) -4/7 (c) t (d) 2/7
a
Let r = -80 - -481/6. What is the third biggest value in 5, -1/6, r, 2?
r
Let h = -11/3 + 3. Which is the second smallest value? (a) -1/4 (b) 11/3 (c) h
a
Let i be 0 + 3 + (-2 - (-190)/(-175)). What is the third biggest value in -0.5, 0.2, i?
-0.5
Let x = 2.4 + -3. Let o = 0.4 + x. Suppose -4*p + 3 = 7. What is the biggest value in -2/5, o, p?
o
Let d = -0.05 - -5.05. What is the smallest value in -0.5, -2, d?
-2
Let v = -47 - -47. Which is the second smallest value? (a) -6 (b) 2/9 (c) v
c
Let p = 45 + -494/11. Which is the smallest value? (a) -0.1 (b) p (c) 1/8 (d) -1/6
d
Let t be (3 - -1) + -2 + 2. Let f be (2/t)/((-3)/12). Let g = 1 + 3. What is the second biggest value in g, 0.3, f?
0.3
Suppose 3*x + 6 = x. Let u = -0.9 + 1. Suppose r + 2*r = 3. Which is the smallest value? (a) x (b) r (c) u
a
Let g = -0.04 + 0. Let c = -2.96 + g. What is the second smallest value in 3, -2/7, c?
-2/7
Suppose -13 = -2*g - 5*x, -2*x + 10 - 4 = g. Suppose 0*s - l = -g*s + 16, 2*l = -8. Which is the smallest value? (a) 7 (b) 5/3 (c) s
b
Let c = 7 - 12. Let x be 4/9*c - -2. What is the third biggest value in -2, x, 0?
-2
Let r be (-80)/70*1/4. Let z(p | {
"pile_set_name": "DM Mathematics"
} |
3. Give x(-196).
789
Let o(w) = -16*w**2 + 59254*w - 472999. Determine o(8).
9
Let n(r) = -8948*r + 26158. Give n(3).
-686
Let d(p) = -17*p**2 + 1232*p - 357. What is d(72)?
219
Let b(q) = 2*q**3 + 2*q**2 + 340*q - 1867. Determine b(5).
133
Let o(h) = 2*h**3 + 5*h**2 + 1155*h - 6173. What is o(5)?
-23
Let u(z) = 47*z**2 - 819*z - 14. What is u(15)?
-1724
Let r(i) = i**3 - 262*i**2 - 523*i - 3735. What is r(264)?
-2415
Let w(m) = 1844*m + 18390. Give w(-10).
-50
Let k(t) = -t**3 + 103*t**2 - 189*t - 11105. What is k(100)?
-5
Let g(x) = -555*x + 523. Give g(0).
523
Let f(s) = -151993*s + 303982. Determine f(2).
-4
Let n(k) = 94*k**2 - 14*k - 27. Calculate n(1).
53
Let h(d) = -709*d**2 + 78027*d - 4032. Determine h(110).
38
Let p(u) = -u**2 + 8*u + 156. Give p(-13).
-117
Let i(j) = 2*j**3 + 35*j**2 - 57*j + 851. What is i(-20)?
-9
Let y(p) = -2*p**2 - 222*p + 11710. What is y(39)?
10
Let z(x) = -472*x + 42966. What is z(91)?
14
Let d(v) = 2931*v + 103151. Give d(-35).
566
Let z(y) = -y**3 + 23*y**2 + 172*y - 35. What is z(29)?
-93
Let t(c) = 33*c**2 - 8647*c + 34307. Determine t(258).
-7
Let c(g) = 41863*g - 4018850. Give c(96).
-2
Let a(f) = -1038*f + 146430. Calculate a(141).
72
Let t(o) = 48*o**2 - 460*o + 1388. Calculate t(3).
440
Let g(i) = 3*i**2 - 847*i + 6571. Calculate g(8).
-13
Let v(r) = -2531*r + 1314. Calculate v(1).
-1217
Let d(o) = -8*o**2 - 556*o + 22838. Calculate d(29).
-14
Let h(t) = 2*t**3 - 6*t**2 - 30*t - 96. Determine h(-9).
-1770
Let u(r) = 5693*r - 124545. Calculate u(22).
701
Let y(x) = 14272*x - 499583. Calculate y(35).
-63
Let a(g) = -g**3 - 5*g**2 - 31*g + 32. Determine a(1).
-5
Let x(u) = -u**2 - 12757*u + 63822. Give x(5).
12
Let s(a) = 56*a**3 + 51*a**2 - 106*a - 1. Give s(2).
439
Let u(a) = 21789*a**2 + 261472*a + 49. Give u(-12).
1
Let a(w) = -10*w**3 - w**2 - 53829*w - 53829. Give a(-1).
9
Let l(u) = 84*u**2 - 1043*u - 17806. Calculate l(22).
-96
Let l(d) = -11266*d - 225415. Give l(-20).
-95
Let m(o) = 322*o + 18017. Calculate m(-56).
-15
Let u(w) = -15481*w - 77474. Give u(-5).
-69
Let a(k) = 56043*k + 2017528. Calculate a(-36).
-20
Let c(d) = -13*d**3 + 345*d**2 + 135*d + 741. Calculate c(27).
12
Let m(r) = -59*r**2 - 67*r + 174. Determine m(5).
-1636
Let s(y) = -4*y**3 + 2*y**2 + 9*y - 53. What is s(4)?
-241
Let a(l) = -11365*l - 193192. What is a(-17)?
13
Let t(q) = 336*q + 59266. Determine t(-177).
-206
Let x(w) = 642*w + 6869. Give x(-10).
449
Let o(h) = 2*h**3 + 9*h**2 - 198*h - 216. Calculate o(-12).
0
Let d(l) = 3035*l + 1566074. Calculate d(-516).
14
Let p(y) = 504*y + 103953. Give p(-206).
129
Let k(n) = -n**2 - 312*n - 153. What is k(0)?
-153
Let v(g) = -g**2 - 4619*g - 1145619. Calculate v(-263).
9
Let a(y) = 2*y**3 + 602*y**2 + 2402*y + 103. Calculate a(-4).
-1
Let g(v) = v**3 + 121*v**2 - 1283*v - 271. Give g(10).
-1
Let k(i) = -137*i**2 + 90148*i - 1312. What is k(658)?
4
Let k(t) = -17*t**2 - 322*t + 585. Determine k(-19).
566
Let n(w) = 39*w**2 + 16346*w + 114478. Give n(-7).
1967
Let s(j) = j**3 - 35*j**2 - 494*j - 374. Give s(46).
178
Let t(m) = -395502*m + 790995. What is t(2)?
-9
Let d(x) = 3*x**3 + 7*x**2 + 38*x + 373. Give d(-7).
-579
Let l(f) = -54*f + 2909. Give l(71).
-925
Let a(c) = 2*c**3 - 302*c**2 + 2295*c - 929. What is a(143)?
72
Let b(h) = -203*h - 2698. Determine b(-15).
347
Let c(b) = b**3 + 1224*b**2 + 161102*b + 259. Calculate c(-150).
-41
Let k(b) = -b**3 + 21*b**2 - 440*b + 13473. What is k(25)?
-27
Let p(l) = -43015*l + 172060. Determine p(4).
0
Let l(w) = -7*w**3 - 7*w**2 - 28*w + 116. Calculate l(4).
-556
Let l(f) = 13*f**3 + 40*f**2 - 64*f - 175. Determine l(-3).
26
Let j(r) = 607*r + 64229. What is j(-106)?
-113
Let r(w) = -2*w**2 - 2308*w + 1310201. What is r(417)?
-13
Let j(n) = -4*n**3 + 113*n**2 - 798*n + 7. Give j(14).
7
Let v(i) = 106*i + 27081. Determine v(-251).
475
Let m(w) = w**3 + 24*w**2 - 71*w - 1166. Calculate m(-25).
-16
Let h(s) = 25509*s - 229591. Calculate h(9).
-10
Let d(m) = -33090*m - 33073. Determine d(-1).
17
Let j(a) = -24*a**3 - 282*a**2 - 201*a - 7. Calculate j(-11).
26
Let d(w) = -52124*w + 6880374. Determine d(132).
6
Let x(q) = 1492*q + 77004. Determine x(-52).
-580
Let y(z) = -z**2 - 366*z + 152232. What is y(-614)?
-40
Let w(f) = 6995*f - 62962. What is w(9)?
-7
Let m(q) = -q**2 + 30*q + 3953. What is m(-60)?
-1447
Let i(g) = 2276537*g + 6829604. Calculate i(-3).
-7
Let c(a) = -2*a**3 + 24*a**2 + 25*a - 389. Calculate c(13).
-402
Let b(u) = -u**3 - 114*u**2 - 3198*u + 938. What is b(-63)?
-7
Let q(p) = -12651*p + 88548. Give q(7).
-9
Let l(t) = 16*t**2 - 18*t - 298. Give l(0).
-298
Let q(s) = -2411*s - 67703. Give q(-28).
-195
Let k(x) = x**3 + 28*x**2 + 151*x - 622. Give k(-12).
-130
Let d(p) = 986*p + 4992. Determine d(-5).
62
Let s(t) = -233*t + 3168. Determine s(9).
1071
Let y(s) = -s**2 - 317*s + 5675. What is y(17)?
-3
Let k(j) = 59*j**3 - 2414*j**2 - 186*j - 727. Calculate k(41).
52
Let q(w) = -2*w**3 + 2*w**2 - 62*w - 375. What is q(-5)?
235
Let c(w) = w**3 - 4*w**2 - 83*w + 113. Calculate c(13).
555
Let r(h) = -223*h - 2542. Calculate r(-12).
134
Let g(y) = -2267*y + 15860. Calculate g(7).
-9
Let m(x) = x**3 - 109*x**2 - 219*x + 8. What is m(-2)?
2
Let s(m) = -m**2 - 1078*m - 52404. Determine s(-1027).
-27
Let r(d) = -7*d**3 - 729*d**2 + 2264*d - 70. Calculate r(3).
-28
Let p(y) = -y**2 - 78*y + 2830. What is p(-105)?
-5
Let d(r) = -r**3 + 34*r**2 + 40*r - 329. Give d(35).
-154
Let i(w) = 184*w**2 - 61880*w + 18792. Give i(336).
-24
Let g(n) = 2*n**3 + 85*n**2 - 1123*n - 180. What is g(-53)?
350
Let j(f) = -370*f**2 + 28862*f + 212. What is j(78)?
368
Let m(c) = c**3 - 24*c**2 + 145*c + 122. Give m(18).
788
Let r(n) = -n**3 - 4*n**2 + 106*n + 636. Determine r(-7).
41
Let i(u) = 638*u - 222595. Calculate i(349).
67
Let g(t) = -420*t - 18877. Calculate g(-45).
23
Let n(x) = 4014*x - 16189. Calculate n(4).
-133
Let c(r) = -12*r + 902. Determine c(-3).
938
Let x(p) = -p**3 - 23*p**2 + 2345*p + 58812. Determine x(-26).
-130
Let p(i) = 7*i**3 - 184*i**2 + 634*i + 572. Give p(5).
17
Let u(j) = -209*j**2 - 540*j - 41. Give u(-3).
-302
Let f(t) = t**3 + 996*t - 8479. What is f(8)?
1
Let g(p) = -p**2 + 313*p - 14257. Give g(55).
-67
Let r(z) = 220*z**2 + 66662*z + 45. Determine r(-303).
-561
Let t(s) = -12034*s - 48186. Determine t(-4).
-50
Let d(p) = 118*p**2 - 3137*p + 9740. Determine d(23).
11
Let a(z) = -z**3 - 74*z**2 + 404*z + 24670. Give a(-75).
-5
Let i(z) = -57*z**2 + 4236*z + 192. What is i(75)?
-2733
Let r(k) = -2*k**2 - 6736719*k - 13473438. What is r(-2)?
-8
Let z(b) = 469*b - 30479. Calculate z(64).
-463
Let g(h) = 7103*h + 78177. Give g(-11).
44
Let a(s) = 847*s + 6356. Determine a(-6).
1274
Let b(u) = -u**2 + 124453*u + 4979716. What is b(-40)?
-4
Let g(f) = -2277*f + 11384. Give g(5).
-1
Let h(j) = 47*j**3 + j**2 - 5681*j - 5683. Determine h(-1).
-48
Let c(m) = -m**3 - 5*m**2 - 41*m - 339. What is c(-6)?
-57
Let r(w) = -w**3 + w**2 + 6563*w - 45873. Give r(7).
-226
Let p(m) = -181*m**2 - 1202*m + 479. What is p(-7)?
24
Let p(v) = 36587*v - 951400. What is p(26)?
-138
Let n(v) = -104*v**2 + 150*v - 119. Calculate n(6).
-2963
Let q(y) = y**2 - 511*y - 47272. Determine q(-80).
8
Let n(m) = 9502*m + 2660557. What is n(-280)?
-3
Let o(p) = -6534*p - 98130. Give o(-15).
-120
Let y(l) = 206*l**2 - 3206*l + 1741. Calculate y(15).
1
Let w(c) = c**3 - 35*c**2 - 44*c + 7265. Determine w(22).
5
Let x(c) = 5370*c - 263159. What is x(49)?
-29
Let x(a) = -8219*a - 387086. What is x(-47)?
-793
Let z(f) = -16265*f + 406633. Determine z(25).
8
Let r(d) = 1807*d + 18097. Give r(-10).
27
Let r(h) = -h**3 - 44*h**2 + 3500*h + 139097. Determine r(-37).
14
Let g(r) = -2*r**3 - 194*r**2 - 375*r - 330. What is g(-95)?
-805
Let u(q) = -121*q**2 + 18151*q - 150. What is u(150)?
0
Let d(c) = -26688*c + 160071. Calculate d(6).
-57
Let l(n) = 78973*n + 631791. Determine l(-8).
7
Let y(v) = 2*v**3 + 929*v**2 - 506*v - 19080. Give y(-465).
-15
Let g(i) = i**3 - 63*i**2 - 547*i + 4. Give g(-7).
403
Let v(j) = -j**3 + 33*j**2 + 420*j + 472. Determine v(43).
42
Let n(j) = -j**3 + 65*j**2 + 1594*j - 43. Calculate n(-19).
-5
Let j(x) = 80*x**2 + 682*x - 4003. Give j(6).
2969
Let u(d) = d**3 - 28*d**2 - 358*d + 934. Determine u(37).
9
Let l(y) = 3*y**3 | {
"pile_set_name": "DM Mathematics"
} |
.7153.
-42222.1153
Sum -5 and -5512.6254991.
-5517.6254991
What is -0.02 + -108257751333?
-108257751333.02
What is 397 - -879.72052?
1276.72052
Sum -0.1 and 50908991.8482.
50908991.7482
Add together -4 and 122162885327.
122162885323
What is 35905583169.079 plus 0.4?
35905583169.479
Total of -69738063.4 and -0.041.
-69738063.441
Add together 1329.69273 and 952.8.
2282.49273
What is the difference between -0.2785 and 1235780127?
1235780127.2785
Calculate -83764245.6 + -148.
-83764393.6
Work out -22 - 275185846.54.
-275185868.54
What is 0.16 + -140227.3455?
-140227.1855
Work out 7612650 + 2706965.
10319615
Put together -11268.3 and -1449643279.
-1449654547.3
Subtract -40394.998709768 from 5.
40399.998709768
Calculate 17461.637727 - 42.
17419.637727
Add -210.0825001 and 66803.
66592.9174999
What is 3 - 11082.855205?
-11079.855205
Calculate 3147980714 + 71832.
3148052546
What is 3569 take away 762153561?
-762149992
What is the difference between 1.18 and 1.1471664971?
0.0328335029
Work out -35322717230 - -2.
-35322717228
Sum -79563132563309 and -0.5.
-79563132563309.5
What is 0.34480197 - -871227?
871227.34480197
What is -0.0078531 + 0.24698?
0.2391269
What is -9746476 take away -574.6649?
-9745901.3351
What is -10858.6 less than 84.4742?
10943.0742
What is 84517 less than -2507142?
-2591659
What is -2845.04 - 21618.684?
-24463.724
Work out -309.19 + 2.1736408.
-307.0163592
What is 105398 less than 21928586?
21823188
Subtract -0.1 from 328439211803319.
328439211803319.1
What is -4855 + 133549176?
133544321
What is 19684.8810577952 less than -0.4?
-19685.2810577952
6547 - -3.470181
6550.470181
153114608 - -20.7177
153114628.7177
What is the distance between -16.247860776 and -0.2631?
15.984760776
Calculate -0.1076 + 138213683092.
138213683091.8924
Sum 1069.68 and 238095.
239164.68
Subtract 17463.7694 from 28315.
10851.2306
What is -64698315901333 less than 0.5?
64698315901333.5
What is -101822 take away 0.009682207?
-101822.009682207
What is -27.8 - 144277935141?
-144277935168.8
Calculate -105 - -0.558746736.
-104.441253264
What is -543590529 - 8.19?
-543590537.19
What is the difference between -62186 and 16.090492?
62202.090492
0.099274 - -2786834
2786834.099274
What is the difference between 16965.1 and -28.35?
16993.45
Work out 34.8 - 1913747073032.
-1913747072997.2
Add together -66485 and -809130.
-875615
-6529.565+-103546
-110075.565
Calculate 308973290228 + 4.
308973290232
Calculate 3 + 1518435.90762.
1518438.90762
What is 0.5 - -0.1935273011078?
0.6935273011078
-0.087735+-1442134840
-1442134840.087735
Calculate 0.064 + 6702610815492.
6702610815492.064
Total of -18200 and 0.007187585.
-18199.992812415
Total of -565.912 and -1.765518.
-567.677518
What is 391158640 - 0.115484?
391158639.884516
What is 148468521.715 take away -0.09?
148468521.805
What is -9 + 18161681617625?
18161681617616
Total of -131704.6 and -570165.4.
-701870
Sum -0.57435 and -0.125413826.
-0.699763826
What is -3401194 less than -65350?
3335844
What is -4.722805 less than 33859?
33863.722805
Calculate 3065 - -1873545.898.
1876610.898
-4263.6011 + -3.021
-4266.6221
What is 157 + -2007064660?
-2007064503
What is -0.4 less than -56925718886278?
-56925718886277.6
Work out -8008839 - -11539.
-7997300
Calculate 89373 - -3.83275984.
89376.83275984
-22015021 + -49464
-22064485
What is 14355904 + 8527?
14364431
What is 0 less than 337365062252?
337365062252
Calculate 75.04 + -78440598.
-78440522.96
Add 2494758 and -192843.
2301915
What is -206.34 - 110700355?
-110700561.34
-378188927.72 + -1.77
-378188929.49
What is 404087 less than -1657.298092?
-405744.298092
What is the difference between -0.4 and 215049587336?
215049587336.4
Put together 126478.18 and -229427.
-102948.82
Put together -5.9595375 and -0.12361.
-6.0831475
-1.35247 + 27.28318
25.93071
Calculate -1610257121 - -0.124.
-1610257120.876
What is 1.4050720512269 - -3?
4.4050720512269
What is the difference between -5 and -63678094962?
63678094957
Calculate 51792567.61 - 1.625.
51792565.985
What is -2 take away -27636412334120?
27636412334118
Work out 19515381 + 286.471.
19515667.471
Work out 182 + 8.917841.
190.917841
Add together -3962953.929762 and 0.
-3962953.929762
Subtract 8.643387651 from -0.84.
-9.483387651
What is -75.597601088 plus -61?
-136.597601088
Sum -3 and -207043969236.
-207043969239
Subtract 159370407 from -0.133996.
-159370407.133996
Calculate -2926804900 + -0.47.
-2926804900.47
-7328 + -1111377451
-1111384779
Calculate -5.48 + -39376.8826321.
-39382.3626321
What is 0.1 plus -3170.786846?
-3170.686846
Subtract 8106767052797 from -3.
-8106767052800
What is 27607057 + -42409?
27564648
What is the distance between -24 and -55177898.91?
55177874.91
What is -311238251630 take away -2.951?
-311238251627.049
What is -3082 less than 259577.01763?
262659.01763
What is 7 - -351406411?
351406418
Work out -129625749 + -41322.
-129667071
0.69 + -4.044602986
-3.354602986
What is -30643508839 + -5.5?
-30643508844.5
What is -0.134146272 plus 8803?
8802.865853728
What is 271645817 - -12960?
271658777
What is the difference between 0 and 89944774437.4?
89944774437.4
Add -75.3 and 45449872618.
45449872542.7
Calculate -1 + 719165.4932457.
719164.4932457
Subtract -0.6 from 91540570798.
91540570798.6
Work out 38.5978919 - -4227.
4265.5978919
Calculate -204060 + 1669479.
1465419
Calculate -6849 + 2933.53719.
-3915.46281
Add together -2544 and -93920472194.
-93920474738
Add together 10940018742 and -14.
10940018728
-74807170 - 275384
-75082554
What is -1468253429.5 take away 2.32?
-1468253431.82
What is 1420137666971 minus 5?
1420137666966
What is -10 minus -3420116138412?
3420116138402
0.02 + 453058352397
453058352397.02
What is -0.1 less than -0.04382161077703?
0.05617838922297
Total of 0.009 and 145684493.8028.
145684493.8118
Calculate 0.2 + -5013225276691.
-5013225276690.8
Add -0.236 and 3.1521776713.
2.9161776713
Put together 57953717994.36 and 0.2.
57953717994.56
Work out -0.2 - 1775974.8071.
-1775975.0071
-842+410662562
410661720
What is 28505515224 minus -5?
28505515229
Sum -22 and 16421727312.
16421727290
693548.682 - 31
693517.682
What is -3253460 + 4391?
-3249069
Add together -61414 and 45204163.
45142749
Subtract 13188 from -4939.4833.
-18127.4833
Work out -2022911.73 + 419.
-2022492.73
What is -0.15 + 542905385.0886?
542905384.9386
What is 224900 minus -0.109464856?
224900.109464856
Add -14171314922689 and -3.
-14171314922692
What is 465523262 plus 12170?
465535432
Subtract 6.9 from -26600201539.7.
-26600201546.6
Calculate -29927566 + 2393127.
-27534439
What is 530815051 + -362.84?
530814688.16
What is -5.34 + -255318224?
-255318229.34
Put together 3618560 and -5614722.
-1996162
Work out -331635751.35 - -29.
-331635722.35
-2237057860430.8 + 39
-2237057860391.8
Work out -236.9 - -299607004.
299606767.1
What is -1004274.2817 plus -327?
-1004601.2817
Add together 32.347250212866 and 1.
33.347250212866
What is -419589 plus 4.810559?
-419584.189441
Calculate 94 - 36955326592.
-36955326498
What is -3.938855349 - 11299?
-11302.938855349
Calculate -29 + -547552804.
-547552833
What is the distance between -0.0148 and -342939584738?
342939584737.9852
What is -248.567 take away 28242754?
-28243002.567
Put together -6930686 and 13.149.
-6930672.851
Work out -683083701 - -139.
-683083562
What is -3728734.6 less than 2.0615?
3728736.6615
-35768661.58719+-0.3
-35768661.88719
-0.01 + -638875383894
-638875383894.01
Work out 0.27914477456 - 0.
0.27914477456
What is 293 less than 1.853225672?
-291.146774328
2.3 + 5928889098
5928889100.3
Total of -331 and -0.0502128527.
-331.0502128527
Subtract -547.57 from -73373168.
-73372620.43
What is -48616.9491355 take away -4.9?
-48612.0491355
-0.0455565+39652.6
39652.5544435
-150.893321+-1148
-1298.893321
16905.845601+-24
16881.845601
Work out -58.34548 - 0.77665.
-59.12213
Sum -3 and 1896.5596797281.
1893.5596797281
What is the difference between 0 and -66745319583452?
66745319583452
110509452737 - 0.07
110509452736.93
What is -0.97 + 19228321240?
19228321239.03
Add 232531.4 and -725571.
-493039.6
195962.7668 + 0.3
195963.0668
What is -0.3 minus 586183.880578?
-586184.180578
What is 20 minus -193574.1088?
193594.1088
What is the difference between 5.5 and -5054380334.783?
5054380340.283
Wh | {
"pile_set_name": "DM Mathematics"
} |
(-126)*(-10)/(-5)
1/42
What is (-9*4/(-6))/((-2)/(-75)*15)?
15
1*(-299)/(138/6)
-13
What is (4/(-18))/(310/(-465))?
1/3
Calculate ((-112)/220)/(-7)*60/24.
2/11
What is the value of (-2*14/(-8))/(91*113/1469)?
1/2
What is ((-315)/(-14))/(-9)*(-4)/140*6?
3/7
What is the value of 108/1053*45/(-30)?
-2/13
Evaluate 4*30/52*(-5)/25.
-6/13
Evaluate ((-32)/(-36))/(250/1050*(-21)/(-90)).
16
Evaluate (-31)/((-11718)/441)*(-18)/(-28).
3/4
What is the value of 1/8*(-976)/1342?
-1/11
Calculate (110/(-100)*12/(-11))/(4/(-10)).
-3
Calculate (-1)/((1/3)/((-98)/28*2)).
21
What is -12*(-1)/22*-11?
-6
What is the value of ((-10*(-5)/50)/((-2)/16))/(-5)?
8/5
What is ((-12)/(-75)*210/(-14))/(12/45)?
-9
((-84)/(-312))/(32/104)
7/8
Calculate ((-1)/(3/30))/(222/(-111)).
5
Evaluate (-8)/(-16)*(-2)/38*14/7.
-1/19
10/(5/((-60)/(-8))*18/(-6))
-5
Evaluate (((-7)/(-42))/(2/24))/((-4)/24).
-12
What is the value of 1323/(-588)*(-80)/(-510)?
-6/17
((-6)/12)/(((-532)/(-24))/7)
-3/19
Evaluate (8*42/(-448))/((-18)/624).
26
Evaluate (52/8)/((-27)/(-54)).
13
Evaluate ((-7)/(42/2))/(-13)*300/10.
10/13
Evaluate (-5)/(-20)*(-40)/310.
-1/31
Calculate (-6)/63*(((-42)/10)/3)/1.
2/15
What is ((-11)/(-165))/((-46)/138)?
-1/5
Evaluate 7329/5235*-1*2/(-14).
1/5
What is the value of (-8)/((-36)/(-18))*(-18)/8?
9
Evaluate (-3)/((6/9)/(((-70)/63)/(-5))).
-1
Calculate (588/3920)/(9/(-165)).
-11/4
Calculate ((-32)/(-768))/(1/(-9)).
-3/8
Calculate (-5)/((-8)/8*2/8).
20
What is the value of 16/(-18)*(-1602)/356?
4
Evaluate (-315)/(-189)*2/(10/(-9)).
-3
What is the value of (5*328/(-615))/(10/6)?
-8/5
What is the value of ((-175)/(-600))/((-15)/50*15/(-18))?
7/6
Calculate 255/1173*(-4)/(-10).
2/23
Evaluate (-15)/(-63)*(-6)/15*(-924)/(-198).
-4/9
Evaluate ((-5)/55)/(4*5/40).
-2/11
(((-32)/(-12))/4)/(12*2/(-9))
-1/4
Calculate 2/(-4)*(-76)/399*3.
2/7
(-54)/24*60/(-15)
9
What is the value of (((-11)/(-2))/(-11))/(((-11)/11)/(-22))?
-11
What is the value of 330/(-220)*2/(-6)?
1/2
(((-2)/4)/1)/(683/16392)
-12
Calculate 26/3*(-8232)/(-4459).
16
Calculate 1/((-12)/((-96)/(-8))).
-1
What is (16/(-16)*-11)/(21/42)?
22
Evaluate 154/((-44)/2)*(-3)/28*4.
3
Evaluate (2/8)/((-283)/10188).
-9
Calculate ((-14)/90)/(266/(-228))*2/(-4).
-1/15
-27*2/(-4)*(-208)/(-312)
9
What is the value of 4/(-18)*(-81)/(-17766)*47?
-1/21
Evaluate ((-4)/((-12)/(-3)))/((-14)/(420/(-110))).
-3/11
(-2)/30*(-1)/(9*(-2)/60)
-2/9
What is the value of (17/(-2))/(10*33/(-660))?
17
Evaluate ((-18)/(-8))/((-25)/(-200))*(-20)/60.
-6
Calculate (15*((-168)/16)/(-7))/((-6)/(-4)).
15
What is -9*(-30)/405*((-99)/(-2))/3?
11
What is (262/(-7860))/(3/12*-1*-2)?
-1/15
What is the value of (((-693)/55)/7)/(2/10)?
-9
Calculate (-392)/(-14)*(-4)/(-8).
14
What is 3*160/45*(-9)/6?
-16
Evaluate (792/352)/(1/(-4)).
-9
Evaluate ((-30)/900)/((-14)/(-490)).
-7/6
What is 51/(1428/16)*(-196)/4?
-28
What is the value of (-27)/(-5)*(-403)/(-1209)*(-5)/3?
-3
Evaluate 560/70*(-6)/(-8).
6
(1/3)/(((-160)/45)/8)
-3/4
Evaluate ((-4)/11)/(800/(-2640)).
6/5
What is the value of ((21/(-14))/3)/((-7)/7)?
1/2
What is the value of (84*25/750)/((-2)/(-10)*-1)?
-14
Calculate 27/(-6)*(-196)/882.
1
What is the value of ((35/(-21))/(-1))/((-20)/(-156))*-1?
-13
What is ((-1764)/(-189))/(-7)*(-18)/(-44)*-1?
6/11
Calculate (-1)/18*-24*(-33)/(-132).
1/3
What is 11492/16900*(-5)/(-1)?
17/5
Calculate (542/(-14634))/((-2)/(-9)).
-1/6
What is (-53)/((-1590)/(-10))*3/5?
-1/5
What is the value of 5915/(-676)*4/25?
-7/5
What is 300/20*(-34)/51?
-10
What is 3*((-286)/(-66))/(3/(-3))?
-13
((-2190)/1460)/(2/(-4))
3
((-1456)/(-2184))/(1/(-39)*2)
-13
What is ((-22)/(10868/(-39)))/(1/(-2)*-3)?
1/19
20/(-2)*(-3)/2
15
What is the value of ((-4)/10)/(-209*(-73)/13870)?
-4/11
What is ((-2156)/(-196))/(2/(-6))?
-33
What is the value of 5*(-2)/(-100)*30/6?
1/2
What is the value of (9/(-5))/(207/35880*182)?
-12/7
Calculate (-6*2/30)/(162/(-135)).
1/3
What is the value of (-1)/138*-8*93/1364*-11?
-1/23
What is the value of (-4)/(-40)*(-64)/(-40)*-5?
-4/5
Calculate (77/21)/((-110)/(-90)).
3
What is 9/(-27)*((-33)/(-6))/(8/(-48))?
11
Evaluate ((-68)/(-1190))/(30/300).
4/7
((2088/(-126))/29)/(2/7)
-2
Evaluate ((-2)/(-6))/(13/1404*63).
4/7
What is the value of (976/(-278160))/(1/10)?
-2/57
What is the value of ((-2)/(-35))/((-4)/5)*(-2898)/552?
3/8
2/(-8)*2*625/250
-5/4
Calculate 17*(-30)/(7140/(-322)).
23
Calculate ((-2)/10)/((280/6800)/7).
-34
(-4188)/(-19195)*-10*(-3)/18
4/11
-24*2/(-4)*(-47)/(-94)
6
(27/96)/((-171)/(-228))
3/8
Calculate ((384/(-22))/24)/(5/(-110)).
16
What is the value of (3840/288)/((-5)/12)?
-32
Evaluate (-2)/(-12)*(-576)/432.
-2/9
Calculate (658/(-564))/(14/(-6)).
1/2
Evaluate ((-48)/(-27))/(-30*30/(-675)).
4/3
12/(-10)*40/12
-4
Evaluate ((2400/70)/6)/(16/(-56)).
-20
(28/24*2)/(260/390)
7/2
Calculate ((-84)/36)/((-196)/252)*(-1)/(-87).
1/29
Evaluate ((-6)/8)/((1/(-7))/(170/4165)).
3/14
(63/(-35))/(45/15)
-3/5
What is (((-1)/1)/((-3)/15))/(31/(-62))?
-10
Evaluate (-10)/1*611/(-940).
13/2
What is the value of (-24*(-11)/2464)/((-216)/126)?
-1/16
What is (4/(-40))/((-165)/6600)?
4
Calculate 1/(((-41)/(-2))/(-41))*(-7)/(-2).
-7
What is the value of ((-12)/35)/6*6/((-600)/(-140))?
-2/25
What is the value of ((-30)/(-45))/((-3)/(-6)*(-8)/(-42))?
7
Evaluate (-5)/20*120/(-25)*(-10)/(-4).
3
((-120)/210)/(52/14)
-2/13
Calculate ((-3)/(-3)*3/(-12))/((-31)/(-372)).
-3
Calculate -3*19/114*2*8.
-8
What is ((-1)/4*6)/(1851/35786)?
-29
What is the value of (66/24)/(((-112)/16)/(-28))?
11
Evaluate (-80)/12*(-9)/90*5.
10/3
Calculate (26/((-884)/153))/(6/8).
-6
3/(-6)*7/((-56)/(-8))
-1/2
Evaluate 50*((-9)/12)/(30/20).
-25
What is 4*(4/24*3)/(27/243)?
18
What is the value of (-4)/10*150280/(-3536)?
17
Calculate 6*5/(-180)*(-8)/14.
2/21
Calculate 6*2*((-189)/14)/27.
-6
What is (((-30)/(-675))/1)/((-10)/50)?
-2/9
29/((-261)/(-1))*-3
-1/3
What is the value of (144/(-2))/(5896/2948)?
-36
What is the value of (((-318)/(-7844))/(2/(-4)))/((-3)/2)?
2/37
(-4354)/2488*(-8)/(-42)
-1/3
(12/(-66))/(28/1260*15)
-6/11
What is 3/(-2)*(-12)/36*24/(-30)?
-2/5
Evaluate (25/(12250/60))/(8/28).
3/7
Calculate ((2200/(-60))/22)/(5/15).
-5
(6*3)/((-231)/22)*1
-12/7
Calculate (12/5)/1*(-50)/(-310)*31.
12
Evaluate (6/(-12))/(((-1309)/(-28))/11).
-2/17
Evaluate ((14/(-4))/(-7))/(3/(-114)).
-19
What is 2*(-15)/(-10)*20/20?
3
What is (6/8)/(4452/(-848))?
-1/7
What is (44/308)/((-8)/7)?
-1/8
What is the value of ((-20)/(-105)*5)/((12/7)/(-4))?
-20/9
What is the value of 4/(12/3)*1*(-12)/(-30)?
2/5
What is the value of 3/(6/(-80))*128/(206080/(-138))?
24/7
Evaluate ((-57)/(-5))/((114/133)/((-20)/(-14))).
19
Calculate -6*(-48)/(-1512)*(-9)/(-2).
-6/7
Calculate (-6*2/(-252))/(6/36).
2/7
What is the value of -9*(-6)/70*1225/(-735)?
-9/7
What is (5082/(-1089)*8/14)/(1/6)?
-16
What is the value of 8*(-13)/104*13?
-13
(-102)/(-4)*((-4644)/(-162))/(-43)
-17
Calculate ((-1391)/428)/(2/8).
-13
What is (17/(4845/38))/(1*2)*24?
8/5
299/1196*(-8)/(-2)*8
8
Calculate (-84)/14*(-85)/(-204)*4/10.
-1
Calculate 5*-1*(-686)/686.
5
(1022/(-1533))/((-2)/15)
5
What is (11*3/77)/(16/(-28))?
-3/4
Evaluate ((-15400)/(-3465))/((-5)/(-1)).
8/9
What is the value of (-8)/(-13)*(-25779)/(-661)?
24
What is 12/2*(-3)/198*3?
-3/11
(-17)/85*3/18*15
-1/2
What is -1*9*26/(-585)?
2/5
(-3456)/(-108)*(-6)/12
-16
What is (225/(-150))/(405/12)?
-2/45
Calculate (-2989)/(-3416)*8/1.
7
Calculate (6/(-5))/((-27)/((-2025)/(-6))).
15
Calculate (8/((-16)/(-10)))/4.
5/4
Evaluate (((-2)/95)/(-1))/(176/(-880)).
-2/19
(10/15*8)/((12/(-9))/(-2))
8
(-22)/(-33)*(-36)/(-40)
3/5
Evaluate -6*2/(20/6)*(-4)/(-12).
-6/5
(12*15/(-240))/((-21)/2)
1/14
Evaluate 24/(-9)*(-72)/42*(-3)/24.
-4/7
((-429)/(-234))/(15/(1170/(-13)))
-11
Evaluate (3/(-27))/(56/2520).
-5
Evaluate 154/(-55)*(-125)/300.
7/6
What is 43/(-86)*((-56)/(-7))/((-2)/6)?
12
Evaluate ((-3)/20*10/4)/(221/1326).
-9/4
What is the value of (3*(-6)/9*15/10)/1?
-3
What is the value of ((-4536)/(-135))/((-192)/(-120))?
21
What is ((-3)/(-12))/((-576)/768)?
-1/3
Evaluate (37/(111/4))/((-1)/((-78)/(-4))).
-26
Evaluate (((-624)/(-36))/(18/(-27)))/(-2).
13
What is the value of (176/(-132))/(16/(-6))*4/(-33)?
-2/33
(4/8)/((-3)/15)*36/(-15)
6
Calculate 12/(-9)*(-1925)/(-550).
-14/3
6/(-7)*(-1232)/(-88)
-12
Calculate (-45)/15*6/(-18)*(-162)/6.
- | {
"pile_set_name": "DM Mathematics"
} |
+ 5*o + 57, -2*c - 37 = -3*c + o. Calculate the remainder when c is divided by 17.
15
Let g = 9 - 6. Suppose 20 = -4*b, g*b + 6 = -0*x - x. What is the remainder when 34 is divided by x?
7
Suppose -494 = -5*v - 9. Calculate the remainder when v is divided by 33.
31
Let h = -3 - -4. Suppose s - 2 = -s. Calculate the remainder when s is divided by h.
0
Suppose -5 - 4 = -3*n. Suppose -4*q - 29 = -3*u, 4*q = 3*u + 2*q - 19. Suppose 0 = -3*g + u + 21. What is the remainder when g is divided by n?
2
Let b(i) = 2*i**3 - 3*i**2 - i - 2. Calculate the remainder when b(4) is divided by 19.
17
Suppose 3*n = -2*b - 2*n + 33, -b + 4*n + 23 = 0. Suppose 0*i - 4*i = -376. Calculate the remainder when i is divided by b.
18
Let d(p) = p**2 - 5*p + 6. Let h be d(6). Let n = -6 + h. Suppose -o = o - n. Calculate the remainder when o is divided by 2.
1
Suppose 5*n - 392 = -9*n. Suppose -21 = -5*s + 19. Calculate the remainder when n is divided by s.
4
Let l = 4 - -4. Suppose 0 = -2*x - a + 22, -3*x + 0*x - a + 31 = 0. Calculate the remainder when x is divided by 30/l - (-6)/24.
1
Let t be -1*(3 + -2)*55. Let r = t + 81. Calculate the remainder when r is divided by (5/(-3))/5*-27.
8
Let o(t) = -t**2 + 3*t + 1. Let f be o(4). Let c = f + 24. Calculate the remainder when c is divided by 6.
3
Calculate the remainder when 40 is divided by 3 + (3 + 1 - -14).
19
Suppose -9*g = -55 - 233. Calculate the remainder when 61 is divided by g.
29
Let v(d) = d**3 + 7*d**2 - d - 4. Let u be v(-7). Suppose -u*r + 12 = r. Let g(y) = -y**2 + 8*y + 1. What is the remainder when g(7) is divided by r?
2
Calculate the remainder when 1/(3/74)*(-6)/(-4) is divided by 10.
7
Suppose x - 3*s = 19, 85 - 16 = 4*x - 5*s. What is the remainder when 44 is divided by x?
12
Let r(w) = -4*w**2 - w + 3. Let b be r(-3). Let a = -19 - b. Let u(z) = -z**3 + 8*z**2 + 12*z + 4. Calculate the remainder when u(9) is divided by a.
9
Let n(d) = d + 9. What is the remainder when n(6) is divided by 8?
7
Let w(q) = -4*q + 1. What is the remainder when 47 is divided by w(-4)?
13
Let i(g) = -2*g + 6. What is the remainder when 32 is divided by i(-3)?
8
Let k(v) = -v**2 - 7*v - 5. Calculate the remainder when 12 is divided by k(-4).
5
Let q(d) = 11*d - 12. What is the remainder when q(6) is divided by 28?
26
Suppose 3*b + 5*v = -b + 183, -2*v + 174 = 4*b. Let m(c) = -c**3 - c + 15. Calculate the remainder when b is divided by m(0).
12
Let x(b) be the second derivative of b**4/6 + b**2/2 + 5*b. Suppose 0 = -c - 2. What is the remainder when 16 is divided by x(c)?
7
Let p = 449 + -243. Suppose -l + p = l. Suppose -l - 117 = -4*d. What is the remainder when d is divided by 19?
17
Let k = 49 - 29. Suppose 4*y + 55 - 515 = 0. Suppose 0*n + 2*n + g = y, -5*g - 52 = -n. Calculate the remainder when n is divided by k.
17
Let m = -36 - -102. Let s = -16 + 39. What is the remainder when m is divided by s?
20
Let w(s) = 4*s - 1. What is the remainder when w(12) is divided by 25?
22
Suppose -u - 3*s - 20 = -2*u, -2*s = -5*u + 74. What is the remainder when 66 is divided by u?
10
Let l(f) = f**2 + 21*f + 24. What is the remainder when 93 is divided by l(-21)?
21
Let v = 22 - 6. What is the remainder when 28 is divided by v?
12
Let z = -1 + 13. Calculate the remainder when z is divided by -7 + 16 + 0 + -4.
2
Suppose -x + 0 = -32. Let s(t) = t**2 - 6*t + 3. Let d be s(5). What is the remainder when x is divided by ((-2 - -1) + -33)/d?
15
Suppose -5*f + 230 = 4*i, 4*f - i - 184 = i. What is the remainder when f is divided by 12?
10
Let p(l) = l**2 + 4*l + 5. Let y = -18 + 25. Calculate the remainder when y is divided by p(-4).
2
Suppose -3*h = -2*h. Suppose h = 2*b - 0*b + 186. What is the remainder when (b/(-15))/((-2)/(-10)) is divided by 8?
7
Let j = -2 + 7. Let x be 2 + j/(5/51). Suppose 2*t - x = -17. Calculate the remainder when 52 is divided by t.
16
Let b be ((-1)/(-3))/(3/(-45)). Let y = b - -12. Let z = y - 6. Calculate the remainder when z is divided by 1.
0
Let z(i) = -i**3 + 9*i**2 - 7*i + 7. Let t be z(6). Suppose t + 23 = 3*h. Suppose 6 = -2*s, 0*s + 4*s = x - h. Calculate the remainder when x is divided by 7.
6
Let z(o) = 3*o**3 + o**2 + 2. Suppose -f - 3 = -3*d, d - 5*f = -0*f - 13. What is the remainder when z(d) is divided by 12/(-5)*40/(-6)?
14
Let i = -37 - -228. What is the remainder when i is divided by 16?
15
Let n = -12 + 16. Let y = n + 7. Let u = 110 + -78. Calculate the remainder when u is divided by y.
10
Let y(j) = 78*j**2 - 4*j + 1. What is the remainder when y(1) is divided by 17?
7
Suppose -2*r = -0*r. Suppose 108 = 4*h - r*h. Calculate the remainder when 78 is divided by h.
24
Let o(u) = 6*u**3 - 2*u**2 + u - 2. Let s be 0/((-4)/2)*-1. Suppose -i + s*i + 2 = 0. Calculate the remainder when o(i) is divided by 14.
12
Suppose 110 = 5*f - 0*f. Let s = f - 14. Calculate the remainder when s is divided by (7 + 3)*(-1)/(-2).
3
Let k(l) = 9*l**2 - 1. Let h be k(-1). Calculate the remainder when 29 is divided by (h/3)/((-1)/(-6)).
13
Suppose -14*m + 6 = -11*m. Calculate the remainder when 4 is divided by m.
0
Let k(j) = j**3 - 5*j**2 + j + 4. Calculate the remainder when 26 is divided by k(5).
8
Suppose y - 7 + 3 = 0, 3*u - 5*y = 118. Calculate the remainder when 135 is divided by u.
43
Suppose -5*l + l = -100. Suppose -4*s - 5*u - 2 = -l, 5*s + 2*u = 33. Let x(h) = 2*h - 9. Calculate the remainder when 14 is divided by x(s).
4
Calculate the remainder when (-3)/2*(-96)/9 is divided by 6.
4
Suppose -4*v = -5*v + 4. Suppose -3 - 5 = -v*q. Suppose 3*l = -5*a + 31, -2*a + 7 = 5*l - 13. What is the remainder when l is divided by q?
0
Let f be (-9)/(-7) - 12/42. Suppose 5*c = -k + 4, -2*k = k - 3*c + 6. What is the remainder when 0 - (f + k + -10) is divided by 6?
4
Suppose -46 - 26 = -4*f. Suppose 2*k + 16 = -2*k, 0 = 3*r - k + 29. Let x = -6 - r. Calculate the remainder when f is divided by x.
3
Suppose 5*o + 2*o - 77 = 0. What is the remainder when 54 is divided by o?
10
Let y = 5 - 0. Suppose 38 = -2*f + y*f + 5*n, -4*n + 16 = 0. Suppose -3*x = f, 0*x + 5*x = -b - 6. Calculate the remainder when b is divided by 3.
1
Let u = 63 + -46. What is the remainder when u is divided by 11?
6
Suppose 0 = -5*z + 2*z + 66. Calculate the remainder when z is divided by 13.
9
Let j(i) = -i**2 + 3*i + 6. Let t be j(6). Let r = -16 - -22. What is the remainder when (40/t)/((-1)/3) is divided by r?
4
What is the remainder when 13 is divided by (-4)/(-10) + (-66)/(-10)?
6
Suppose 2*g = n - 6*n + 19, -3*g + 54 = -n. Let t(r) = 12*r - 6. What is the remainder when t(6) is divided by g?
15
Let x = 36 - 12. What is the remainder when x is divided by 9?
6
Suppose 0 = l - 1, 5*l = -2*q + 4*l + 35. What is the remainder when q is divided by 13?
4
Suppose 0 = -3*f + 15, 0*f = z + 4*f - 87. Suppose 3*u = 3*p + 84, -p + 47 - 144 = -4*u. What is the remainder when z is divided by u?
21
Calculate the remainder when 28 is divided by 6 - 5/15*0.
4
Suppose -u - 104 = -3*u. Suppose 5*x - 13 = u. Suppose -x = -2*r + r. What is the remainder when r is divided by 8?
5
Suppose -3*y + 91 = -4*c, -2*y - 4*c = -y - 41. Calculate the remainder when y is divided by 10.
3
Let r = 29 + -17. Let v = 12 + 22. Suppose 0*u + v = u. Calculate the remainder when u is divided by r.
10
Suppose -9*n = -133 - 308. Calculate the remainder when n is divided by 16.
1
Let z(h) = 3*h - 27. Suppose y = -0 - 1. Calculate the remainder when z(15) is divided by 10/(-3)*3*y.
8
Let b = 106 + -57. What is the remainder when b is divided by 13?
10
Suppose -x = 2*x - 51. Let g(u) be the second derivative of -u**4/12 + 5*u**3/2 - 7*u**2/2 - 2*u. Calculate the remainder when g(8) is divided by x.
15
Suppose 2*k + 10 = 2*v, 7*k + 20 = -2*v + 3*k. Suppose v = 5*w - 133 - 67. Suppose 0*r + w = 2*r. Calculate the remainder when r is divided by 7.
6
Let x be (5 + 0)*(-2)/(-5). What is the remainder when 23 is divided by 18/2 - (x - 1)?
7
Let w(x) = -5*x. Let h be w(3). Let r be 18/h*(-10)/3. Suppose c - r*a - 5 - 7 = 0, -2*c + 2*a + 54 = 0. What is the remainder when c is divided by 11?
10
Calculate the remainder when 38 is divided by (8/(-60)*-9)/(3/70).
10
Let q = 20 - 8. Suppose -q = -4*o - 0*o. Suppose -m - 2*l + 40 = o*l, 5*m - 200 = 2*l. What is the remainder when m is div | {
"pile_set_name": "DM Mathematics"
} |
)/(-1*sqrt(12)) - sqrt(4)).
3*sqrt(5)
Simplify (sqrt(360)/sqrt(144))/((sqrt(72)*1)/sqrt(9)).
sqrt(5)/4
Simplify (sqrt(56) + sqrt(1400)*-1)/(sqrt(24)/sqrt(27)).
-12*sqrt(7)
Simplify ((sqrt(5) + (sqrt(5) + sqrt(25)/sqrt(5) - sqrt(5)) + 5)*2)**2.
80*sqrt(5) + 180
Simplify sqrt(425) + 4 + -1.
3 + 5*sqrt(17)
Simplify 0 + (1*sqrt(539))**2 + -6*sqrt(539)*-1.
42*sqrt(11) + 539
Simplify (sqrt(7) - sqrt(63)/sqrt(9))*1 - sqrt(35)/(5*sqrt(5) + sqrt(5)).
-sqrt(7)/6
Simplify (sqrt(125)/sqrt(125))/sqrt(5).
sqrt(5)/5
Simplify (-4*sqrt(70)*2)/(sqrt(30)/sqrt(3)*3).
-8*sqrt(7)/3
Simplify (-1*sqrt(513) + sqrt(513))/(2*sqrt(147)).
0
Simplify (2*sqrt(30))/sqrt(10) + -1.
-1 + 2*sqrt(3)
Simplify 0 + sqrt(1872) + -4.
-4 + 12*sqrt(13)
Simplify (sqrt(76)/sqrt(18))/sqrt(2).
sqrt(19)/3
Simplify ((sqrt(153) - (sqrt(153) - (sqrt(153) + sqrt(153) + (-3*sqrt(153) + sqrt(153) - sqrt(153) - sqrt(153)))))/sqrt(9) + sqrt(17))*-1.
sqrt(17)
Simplify (sqrt(19) + -1)**2*-2 - (1 + sqrt(19)*-1).
-41 + 5*sqrt(19)
Simplify ((4*sqrt(5) + -5)*-3)**2.
-360*sqrt(5) + 945
Simplify (sqrt(5) + (sqrt(20) - sqrt(40)/sqrt(2)))*6.
6*sqrt(5)
Simplify (sqrt(68) + -1*-1*sqrt(68))/(sqrt(32)/sqrt(128) + sqrt(4)).
8*sqrt(17)/5
Simplify (3*(sqrt(133) + 2*sqrt(133)))/sqrt(7)*5.
45*sqrt(19)
Simplify (((sqrt(3888) + 1 + sqrt(3888))*6 - sqrt(3888)) + 1 + sqrt(3888) + sqrt(3888) + 4)**2.
10296*sqrt(3) + 657193
Simplify 4*(0 + sqrt(6)/sqrt(3)) + -3.
-3 + 4*sqrt(2)
Simplify (sqrt(495)*3)/(sqrt(30)/(1*sqrt(6))).
9*sqrt(11)
Simplify (5 + sqrt(45))**2 + (sqrt(5) - (1 + (-1*sqrt(5))**2)).
64 + 31*sqrt(5)
Simplify ((sqrt(190) - sqrt(190)*1 - sqrt(190) - sqrt(190))*-2)/((-1*sqrt(40))/sqrt(4)).
-4*sqrt(19)
Simplify (sqrt(40)*-2)/sqrt(8) + (sqrt(80) + -3 - sqrt(80)).
-2*sqrt(5) - 3
Simplify 5 + (sqrt(5) + 5 + sqrt(80))*-5.
-25*sqrt(5) - 20
Simplify (sqrt(170)*1)/sqrt(10) - (sqrt(68)/sqrt(4)*-4)**2.
-272 + sqrt(17)
Simplify (sqrt(110) + sqrt(110) + (-1*sqrt(110) - sqrt(110))*2)/((sqrt(110) - -1*sqrt(110))/sqrt(11)).
-sqrt(11)
Simplify sqrt(16)/(4*sqrt(40)/sqrt(5) - sqrt(8)).
sqrt(2)/3
Simplify (((-1*sqrt(225))/sqrt(9))/(sqrt(80)*-1)*-3)**2.
45/16
Simplify -1 + sqrt(27) + (sqrt(3) - -5*sqrt(6)/sqrt(2)).
-1 + 9*sqrt(3)
Simplify (0 + sqrt(931) - sqrt(931))**2 + 4.
4
Simplify ((sqrt(72) - (0 + sqrt(72))*6) + -2 + sqrt(72) + sqrt(72) + (sqrt(72) + 1 + sqrt(72) - sqrt(72)) + sqrt(72))**2.
12*sqrt(2) + 73
Simplify (sqrt(304)*2 + 2 + -4)**2.
-32*sqrt(19) + 1220
Simplify (sqrt(325)*1)**2 + -1.
324
Simplify 2*(2*sqrt(7)*2 - (-2 + 1*sqrt(7) - sqrt(7))).
4 + 8*sqrt(7)
Simplify sqrt(720) - (-6*(sqrt(720) + 1 - sqrt(720)))**2 - (sqrt(720) + (sqrt(720) - (1 + sqrt(720)))**2)*4.
-36*sqrt(5) - 40
Simplify sqrt(16)/sqrt(2) + sqrt(24)/(sqrt(96)/sqrt(8)).
3*sqrt(2)
Simplify (sqrt(136)/(sqrt(8) - sqrt(64)/sqrt(2))*6)**2.
612
Simplify -1 + -6*(0 + sqrt(605)).
-66*sqrt(5) - 1
Simplify ((sqrt(170) - sqrt(170)*2*-5)/sqrt(10))**2 - (sqrt(272)*6 + -3).
-24*sqrt(17) + 2060
Simplify (-2 + (sqrt(75) - -2*(sqrt(75)*-1 + sqrt(75))))**2.
-20*sqrt(3) + 79
Simplify (sqrt(300)/(-1*sqrt(10)))/(sqrt(90) + 1*sqrt(90) - sqrt(90)).
-sqrt(3)/3
Simplify ((sqrt(608)*-1)/sqrt(2))**2.
304
Simplify (4*sqrt(112)*5)**2.
44800
Simplify -1 + 6*sqrt(153)/sqrt(9).
-1 + 6*sqrt(17)
Simplify (sqrt(33) + sqrt(165)/sqrt(20))/sqrt(11).
3*sqrt(3)/2
Simplify ((-4*sqrt(245)*2 + 4)*4)**2.
-7168*sqrt(5) + 251136
Simplify ((sqrt(1800)*1 + sqrt(1800))*5)**2.
180000
Simplify sqrt(6)/((sqrt(98) - (sqrt(98)*-3 + sqrt(98))) + sqrt(98) + sqrt(98)).
sqrt(3)/35
Simplify sqrt(612) + sqrt(612)*-2*2.
-18*sqrt(17)
Simplify (sqrt(108)/sqrt(4) + -2)**2.
-12*sqrt(3) + 31
Simplify (sqrt(432) + -3)**2 + sqrt(48)*6.
-48*sqrt(3) + 441
Simplify -1 + (sqrt(931) - (-1 + sqrt(931)))**2.
0
Simplify -4*(-3*(sqrt(76) + 1) + 4).
-4 + 24*sqrt(19)
Simplify (-3*sqrt(153)*-2 + -1*sqrt(153)*-6)**2.
22032
Simplify (2*sqrt(128) + sqrt(2))**2 - (sqrt(2) + 0)*6.
-6*sqrt(2) + 578
Simplify sqrt(20)/(sqrt(1000)/sqrt(4)).
sqrt(2)/5
Simplify (4 + sqrt(704)*-5)**2.
-320*sqrt(11) + 17616
Simplify (sqrt(192)*5)/(sqrt(96)/sqrt(4)).
10*sqrt(2)
Simplify -4*(-1 + sqrt(200) + sqrt(200)).
-80*sqrt(2) + 4
Simplify (4*sqrt(60)*1)/sqrt(12).
4*sqrt(5)
Simplify 5 + 3 + (sqrt(931)*-1)**2 + -5.
934
Simplify (sqrt(171) - sqrt(171)*-1)**2*-6.
-4104
Simplify -6*(-5 + -6*(sqrt(832) + 0))**2.
-179862 - 2880*sqrt(13)
Simplify (-2*sqrt(78)*-3)/sqrt(6).
6*sqrt(13)
Simplify (sqrt(704) + 1 - sqrt(44)/sqrt(64))**2.
31*sqrt(11)/2 + 10587/16
Simplify -2 + ((-1*sqrt(171) - sqrt(171)) + sqrt(475) + 2)**2.
-4*sqrt(19) + 21
Simplify (sqrt(931) + (sqrt(931)*-1 - sqrt(931)) + -5 + -4*3*sqrt(931))**2.
910*sqrt(19) + 157364
Simplify -2 + (sqrt(208))**2 + -1.
205
Simplify sqrt(55)/(sqrt(33)/(sqrt(3)*-1)).
-sqrt(5)
Simplify 1*(sqrt(19) - (4 + (sqrt(19) - (2 + sqrt(19)))) - (sqrt(2736) + -1)).
-11*sqrt(19) - 1
Simplify sqrt(133)/(sqrt(175)*1 - sqrt(7)) - (sqrt(95)/sqrt(80) - (2*sqrt(57)/sqrt(3) - sqrt(19))).
sqrt(19)
Simplify 2*-1*-2*(sqrt(7) + 1 + 1).
8 + 4*sqrt(7)
Simplify -1*((sqrt(117) + sqrt(117)*2)*-5)/sqrt(9).
15*sqrt(13)
Simplify (sqrt(84)/((sqrt(36) - sqrt(324))/sqrt(3)))**2.
7/4
Simplify sqrt(12)/(sqrt(4) + (sqrt(400) - 3*sqrt(400) - sqrt(4))).
-sqrt(3)/20
Simplify ((sqrt(147) + -4 + sqrt(147) + 1 + sqrt(147))**2 + sqrt(147) + 1 + 5)*-5.
-6690 + 595*sqrt(3)
Simplify sqrt(1216) + -2 + (sqrt(1900) + -1)**2.
-12*sqrt(19) + 1899
Simplify ((sqrt(240) - sqrt(240)*3)/sqrt(8))/sqrt(6).
-2*sqrt(5)
Simplify (sqrt(448)*-1)**2 + 5 - sqrt(448).
-8*sqrt(7) + 453
Simplify (sqrt(104) - (sqrt(104) - (-6*(sqrt(104) - (sqrt(104) - sqrt(104)*2)) - sqrt(104)) - sqrt(104)))/(-4*-1*sqrt(8)).
-3*sqrt(13)
Simplify (1*sqrt(4536) - sqrt(4536))/(1*sqrt(200)).
0
Simplify sqrt(11) - (-3*sqrt(11))**2*1 - (sqrt(121)/(2*sqrt(11)) - sqrt(11)).
-99 + 3*sqrt(11)/2
Simplify 1*(-1 + (sqrt(110) + (sqrt(110) - (sqrt(110) - -6*(sqrt(110) - (sqrt(110)*2 + sqrt(110))))))/sqrt(10)).
-1 + 13*sqrt(11)
Simplify sqrt(33)/sqrt(176) + (sqrt(9)*-1)/sqrt(3).
-3*sqrt(3)/4
Simplify (5 + sqrt(22)/sqrt(44) + sqrt(6)/sqrt(3) + -4)**2.
3*sqrt(2) + 11/2
Simplify 4*(sqrt(7) + 1) + (((sqrt(7) - (-2*1*sqrt(7) + sqrt(7))) + sqrt(7) - sqrt(7))**2 - sqrt(7)).
3*sqrt(7) + 32
Simplify (sqrt(28) + (2*sqrt(308))/sqrt(11))/(sqrt(16)/(sqrt(8)/sqrt(2))) + -2.
-2 + 3*sqrt(7)
Simplify (-1*sqrt(102)*3)/sqrt(6).
-3*sqrt(17)
Simplify 3 + (sqrt(3) - (sqrt(42)/sqrt(7))/sqrt(2)).
3
Simplify (-3*(-3 + sqrt(3)*-1*1 + (1 + sqrt(3) + -2 - sqrt(3) - sqrt(3))))**2.
144*sqrt(3) + 252
Simplify ((sqrt(27) + sqrt(189)/(sqrt(21)/sqrt(3)))/(-2*sqrt(36) + sqrt(9) - sqrt(9)))**2.
3/4
Simplify (sqrt(343)*1 - sqrt(343) - (sqrt(7) - (sqrt(7) - (sqrt(7) - (sqrt(126)/sqrt(2))/sqrt(9)))))**2.
0
Simplify (-1*sqrt(250) - sqrt(250))/(2*sqrt(5)*-2 + sqrt(5) - sqrt(5)).
5*sqrt(2)/2
Simplify -3 + sqrt(2) + 0 - (0 + sqrt(2))*-3.
-3 + 4*sqrt(2)
Simplify -1 + (sqrt(76)/sqrt(4) - sqrt(19)) + 0.
-1
Simplify -4 + -3*sqrt(19)*2 + 3.
-6*sqrt(19) - 1
Simplify -5 + (sqrt(1331) + sqrt(1331) + 1 + sqrt(1331))**2.
66*sqrt(11) + 11975
Simplify (sqrt(242) + (1 + sqrt(242) - sqrt(242)) + -2)**2*5.
-110*sqrt(2) + 1215
Simplify (sqrt(19) + (sqrt(76) + sqrt(76) + sqrt(76)*-2 - sqrt(19)))**2 + (sqrt(19) + sqrt(114)/sqrt(6))*5 + -3.
-3 + 10*sqrt(19)
Simplify (4 + sqrt(72) + -5*sqrt(72)*1)**2.
-192*sqrt(2) + 1168
Simplify -5*(sqrt(684) + 0) - (5*(sqrt(684) + 0))**2.
-17100 - 30*sqrt(19)
Simplify sqrt(5) - (sqrt(45) - (sqrt(45) + -2*sqrt(45)))/sqrt(9) - (1*sqrt(5))**2*3.
-15 - sqrt(5)
Simplify ((sqrt(245) + -1)*5)**2.
-350*sqrt(5) + 6150
Simplify (sqrt(288)/(sqrt(12) - (sqrt(12) + -1*sqrt(12))))/(-2*sqrt(8)*-3).
sqrt(3)/6
Simplify (sqrt(187) + -2*sqrt(187) + sqrt(187))/sqrt(11) + sqrt(85)/sqrt(5)*1.
sqrt(17)
Simplify ((sqrt(170) - (sqrt(170)*2 - sqrt(170) - sqrt(170) - sqrt(170)) - sqrt(170))*-6 + sqrt(170))/((sqrt(90)*-2)/sqrt(9))*-4.
-10*sqrt(17)
Simplify (6*sqrt(102)*1)/(sqrt(384)*3 + sqrt(384)).
3*sqrt(17)/16
Simplify -4*sqrt(1100) - (5*sqrt(44))**2.
-1100 - 40*sqrt(11)
Simplify 3 + (-4*2*sqrt(605))**2.
38723
Simplify sqrt(204)/(sqrt(1728)/sqrt(4)).
sqrt(17)/6
Simplify 4*(0 + sqrt(304) - sqrt(304))*-1*1.
0
Simplify (-3*sqrt(1584) - sqrt(1584))**2 + 4.
25348
Simplify (-3 + sqrt(7) + sqrt(700))**2 + sqrt(7) + sqrt(343)*1.
-58*sqrt(7) + 856
Simplify 5 + (2*(sqrt(98) + sqrt(9 | {
"pile_set_name": "DM Mathematics"
} |
Let y(s) = 9*s - 8 - 7*s + 2. Let c be y(4). Find the second derivative of c*o - o + o + 3*o**2 wrt o.
6
Let y(c) = c - 3. Let l(q) be the first derivative of 5*q**2/2 - 12*q + 4. Let d(f) = -2*l(f) + 9*y(f). What is the derivative of d(u) wrt u?
-1
Let y(l) be the first derivative of 15*l**4/4 - 4*l**2 + 11. Find the second derivative of y(v) wrt v.
90*v
What is the first derivative of -11*z - 17 + 6 + z wrt z?
-10
Let v(p) be the second derivative of p**6/3 + 3*p**2/2 + p. Differentiate v(b) with respect to b.
40*b**3
Let n(q) be the first derivative of q**5/20 - q**3/6 - 2*q**2 + 2. Let i(o) be the second derivative of n(o). Find the first derivative of i(s) wrt s.
6*s
Let k(r) = -20*r**6 - 14*r**5 + 34*r**2 + 14. Let j(v) = 7*v**6 + 5*v**5 - 11*v**2 - 5. Let a(t) = -14*j(t) - 5*k(t). Find the third derivative of a(o) wrt o.
240*o**3
Suppose 4 = -2*a - 0*a. Let q = 5 + a. What is the second derivative of -3 + q*y**4 + 3 + 3*y wrt y?
36*y**2
Let s(o) be the second derivative of o**6/60 - o**5/60 + o**2/2 - 3*o. Let m(v) be the first derivative of s(v). What is the third derivative of m(d) wrt d?
12
Let d(x) be the third derivative of -x**9/1680 - x**6/90 + x**4/4 - 3*x**2. Let t(c) be the second derivative of d(c). Find the second derivative of t(v) wrt v.
-108*v**2
Suppose -5 = -2*d + 1. Suppose 5*o - 4*o + 2*b + 2 = 0, -3*o + 3 = -d*b. Differentiate 1 + o + l**2 + 0*l**2 with respect to l.
2*l
Suppose -2*o - 3*f + 5*f + 10 = 0, o + 19 = -5*f. Suppose -3 - o = -2*a. Find the third derivative of b**2 - 3*b**2 - 2*b**6 + 0*b**2 + 0*b**a wrt b.
-240*b**3
Let w(f) be the third derivative of 0*f**6 + 5*f**2 + 0*f + 0*f**5 + 1/210*f**7 + 0*f**3 - 5/12*f**4 + 0. Find the second derivative of w(h) wrt h.
12*h**2
Let o(c) = c**3 + 3*c + 2. Let v(y) = -y**3 + 8 + 6*y**3 + 0 + 11*y. Let n(s) = 22*o(s) - 6*v(s). Differentiate n(g) with respect to g.
-24*g**2
Find the first derivative of -9 + 5*i**3 - 4*i**3 + 0*i**3 - 6 wrt i.
3*i**2
Let y(p) be the third derivative of -6*p**2 + 1/24*p**4 + 2/3*p**3 + 0*p + 0. Find the first derivative of y(c) wrt c.
1
Let u(z) = 6*z**4 - 2*z**2 + 5. Let b(v) = -v**2 + 1. Let t(y) = 5*b(y) - u(y). Find the third derivative of t(r) wrt r.
-144*r
Let m be (-4)/14 + 23/7. Differentiate 8 - 4 + c**3 - 2*c**m wrt c.
-3*c**2
Let z(s) = -5*s**2 - 16*s + 11. Let k = -10 - -16. Let j(t) = t**2 + 3*t - 2. Let o(c) = k*z(c) + 33*j(c). What is the second derivative of o(f) wrt f?
6
Let p(w) = 4*w**4 - 3*w**3 + 20. Let k(a) = 8*a**4 - 7*a**3 + 41. Let i(s) = -3*k(s) + 7*p(s). What is the first derivative of i(n) wrt n?
16*n**3
Let x(w) = 10*w**5 - 2*w**4 - 7*w**2 - 2*w. Let k(z) = -z**5 + z**4 - z**2 + z. Let u(l) = -2*k(l) - x(l). Find the third derivative of u(g) wrt g.
-480*g**2
Let m(o) = 2*o**2 - o - 1. Let p be m(-1). What is the derivative of -p*b**3 + 9 + 3 - 7 wrt b?
-6*b**2
Let r(k) = -9*k**3 - 8*k**2 - 6. Let g(l) = 17*l**2 - l + 13 + 14*l**3 + l + 5*l**3. Let d(q) = 6*g(q) + 13*r(q). What is the third derivative of d(y) wrt y?
-18
Let w = -2 - -3. Suppose -l + 2 + w = 0. What is the derivative of -t**l + t**3 + 2*t**4 + 1 wrt t?
8*t**3
Let g(h) be the first derivative of -7*h**6/6 + 5*h**3/3 + 12. Find the third derivative of g(c) wrt c.
-420*c**2
Let v(q) = -q**2 - q - 1. Let w(u) = -23*u**3 + 3*u**2 + 3*u - 24. Let b(g) = -3*v(g) - w(g). Differentiate b(s) wrt s.
69*s**2
Let i = -6 - -10. Suppose -2*s - 3 = -0*s + q, -i = s + q. What is the derivative of d + 0*d - 4*d - s + 2 wrt d?
-3
Let u = 59/2 + -29. Let m(a) be the second derivative of 0*a**3 + u*a**2 + 0 + 3/20*a**5 + a + 0*a**4. Differentiate m(n) with respect to n.
9*n**2
Suppose 2*t = 2*q, -t - 4 + 0 = -3*q. Find the second derivative of 3*r + 0*r**2 - t*r**2 - 2*r**2 wrt r.
-8
Let j be ((-2)/4)/(3/(-24)). Suppose 2*i = -3*d + 10 - 2, d + 16 = j*i. Find the second derivative of -a - a**4 + d*a + 3*a wrt a.
-12*a**2
Let n(z) be the third derivative of 0*z + 0 + 1/30*z**7 + 0*z**6 + 0*z**4 - 1/12*z**5 + 6*z**2 + 0*z**3. What is the third derivative of n(u) wrt u?
168*u
Suppose -3*c + 24 - 3 = 0. Find the third derivative of 3*t - 7*t**2 - 3*t - c*t**3 wrt t.
-42
Suppose r - 2*n + 12 = n, -5*n = -5*r - 10. Suppose r*k = -k. Find the second derivative of s + s**4 - 2*s + k*s**4 wrt s.
12*s**2
Let k(d) = 4 - d + 2*d - 2. Let t be k(0). Find the second derivative of -s + s**t + s + s wrt s.
2
Let g(w) be the first derivative of 5 - 3*w + 0*w**2 + 2/3*w**3. What is the first derivative of g(t) wrt t?
4*t
Let o be -18 + (0 - (1 - 3)). Let b be 12/o*12/(-3). Differentiate -2*n**b + 3 - 2 - 2 + n**3 wrt n.
-3*n**2
Let z = -2 - -1. Let l = 3 + z. Find the third derivative of -2*o**2 + o**2 - l*o**3 + o**3 wrt o.
-6
Let y(m) = 6*m**3 + 3*m + 1. Let p(a) = -a**3 - a + 1. Let c(h) = -p(h) + y(h). Find the second derivative of c(x) wrt x.
42*x
Let x(k) = k - 1. Suppose -l = -4*l + 9. Let v(q) = -3 - 2*q + l. Let w(c) = -v(c) - x(c). Differentiate w(i) wrt i.
1
Find the first derivative of -33*b**3 + 7 + 9*b**3 + 0*b**3 + 12*b**3 wrt b.
-36*b**2
Let n(q) = -q**2 + 6*q + 19. Let c be n(8). Find the second derivative of 16*g**5 + c*g - g - 19*g**5 wrt g.
-60*g**3
Let t(h) = -h. Let z(x) = 12*x**3 - 8*x**2 + x. Let j(v) = -t(v) - z(v). What is the third derivative of j(k) wrt k?
-72
Let h(x) be the second derivative of -x**6/720 - x**5/20 + 5*x**4/12 + 6*x. Let f(j) be the third derivative of h(j). Differentiate f(r) with respect to r.
-1
What is the third derivative of 65*c**3 - 65*c**3 - c**6 + 5*c**2 wrt c?
-120*c**3
Find the second derivative of -6*j**2 + 7 + 9*j - 7 wrt j.
-12
Let x(v) = -v**2 - 8*v + 2. Let k be x(-8). What is the third derivative of -3*s**k - 4*s**3 - 2*s**3 + s**3 + 0*s**2 wrt s?
-30
Let z(x) be the third derivative of 0*x + 2*x**2 + 0*x**3 + 0*x**7 + 0 + 1/60*x**5 - 1/168*x**8 + 0*x**6 + 0*x**4. Find the third derivative of z(q) wrt q.
-120*q**2
Let p(d) be the third derivative of 1/4*d**4 + 0 + 0*d**3 + 0*d**7 - 1/168*d**8 + 0*d + 0*d**6 + 0*d**5 - d**2. What is the second derivative of p(u) wrt u?
-40*u**3
Differentiate -24 + 55 + 4*a**2 - 20 + 0*a**2 with respect to a.
8*a
What is the third derivative of -15*g**2 - 19*g**4 + 4*g**4 - 8*g**2 wrt g?
-360*g
Suppose 2*h = 7*h + 2*q + 5, -2*h - 2*q = 8. Differentiate 1 - l**4 - 5 + 3 - h wrt l.
-4*l**3
Let g(j) = 13*j**2 + 5. Let a(l) = 66*l**2 + 25. Let n(f) = 2*a(f) - 11*g(f). Differentiate n(m) with respect to m.
-22*m
Let v be (2/5 - (-9)/15)*0. Let n(c) be the third derivative of 0*c + v + 0*c**4 - c**2 - 1/2*c**3 - 1/20*c**5. What is the derivative of n(d) wrt d?
-6*d
Let m(g) be the third derivative of -5*g**8/112 - 19*g**5/30 + 24*g**2. Find the third derivative of m(i) wrt i.
-900*i**2
Let t(z) = 4*z**3 + 4*z**2 - 6*z. Let h(v) = -v**4 + 9*v**3 + 9*v**2 - 13*v. Let g(p) = 4*h(p) - 9*t(p). Find the second derivative of g(x) wrt x.
-48*x**2
Let q(k) be the first derivative of 13*k**4/2 + k - 7. Differentiate q(x) wrt x.
78*x**2
Let j(u) be the first derivative of u**4/4 + 11*u**3/3 + 2. What is the third derivative of j(i) wrt i?
6
Let h(k) be the second derivative of -9*k**8/56 - 5*k**4/12 + 2*k. Find the third derivative of h(c) wrt c.
-1080*c**3
Let h(q) = 31*q**2 + 6*q - 4. Let j(x) = x - 1. Let u(t) = -h(t) + 6*j(t). Find the first derivative of u(m) wrt m.
-62*m
Let j(s) = -s. Let t(c) = -c + 2. Suppose -2*h = 2*h - 5*q + 12, -15 = 5*h - 4*q. Let o(g) = h*j(g) + t(g). Find the first derivative of o(r) wrt r.
2
Let a(v) = -4*v**3 + 3*v**2 + 3*v - 1. Suppose -9*h = -14*h - 35. Let j(z) = 9*z**3 - 7*z**2 - 7*z + 3. Let l(g) = h*a(g) - 3*j(g). Differentiate l(q) wrt q.
3*q**2
Let q(h) be the second derivative of 0*h**3 + 0 - h**2 + 1/30*h**6 + 3*h + 0*h**5 + 0*h**4. Differentiate q(s) wrt s.
4*s**3
Let i(h) be the first derivative of -h**6/3 + 3*h**2/2 + 3. Find the second derivative of i(v) wrt v.
-40*v**3
Let g(k) be the second derivative of -k**7/6 + k**3/6 - 9*k. What is the second derivative of g(v) wrt v?
-140*v**3
What is the third derivative of 7*x**6 + 7*x**6 - 30*x**2 + 9*x**2 wrt x?
1680*x**3
Let a(y) be the first derivative of 5*y**4/4 + 2*y + 17. What is the derivative of a(i) wrt i?
15*i**2
Suppose 5*l + 0 = 10. What is the second derivative of 4*p + 6*p**5 + 60*p**l - 60*p** | {
"pile_set_name": "DM Mathematics"
} |
square root of 15601739 to the nearest integer?
3950
What is the ninth root of 2100312 to the nearest integer?
5
What is the cube root of 100452 to the nearest integer?
46
What is the square root of 151028 to the nearest integer?
389
What is the third root of 606330 to the nearest integer?
85
What is the square root of 2614094 to the nearest integer?
1617
What is the fifth root of 121538 to the nearest integer?
10
What is 947405 to the power of 1/2, to the nearest integer?
973
What is 23606243 to the power of 1/6, to the nearest integer?
17
What is 66531 to the power of 1/5, to the nearest integer?
9
What is the fifth root of 116869 to the nearest integer?
10
What is the ninth root of 11519046 to the nearest integer?
6
What is the square root of 12198203 to the nearest integer?
3493
What is the fifth root of 353732 to the nearest integer?
13
What is the cube root of 5362350 to the nearest integer?
175
What is 17218688 to the power of 1/7, to the nearest integer?
11
What is the third root of 5486462 to the nearest integer?
176
What is 87890 to the power of 1/3, to the nearest integer?
44
What is the square root of 1574 to the nearest integer?
40
What is the third root of 5882695 to the nearest integer?
181
What is the cube root of 198076 to the nearest integer?
58
What is the fourth root of 3447605 to the nearest integer?
43
What is the square root of 366206 to the nearest integer?
605
What is 51382 to the power of 1/8, to the nearest integer?
4
What is 2043753 to the power of 1/2, to the nearest integer?
1430
What is 174958 to the power of 1/2, to the nearest integer?
418
What is the cube root of 546054 to the nearest integer?
82
What is the sixth root of 319990 to the nearest integer?
8
What is the third root of 2459818 to the nearest integer?
135
What is 925031 to the power of 1/7, to the nearest integer?
7
What is 1509856 to the power of 1/2, to the nearest integer?
1229
What is 23243304 to the power of 1/3, to the nearest integer?
285
What is the cube root of 88081 to the nearest integer?
44
What is the fifth root of 9295126 to the nearest integer?
25
What is 417609 to the power of 1/8, to the nearest integer?
5
What is the square root of 5976266 to the nearest integer?
2445
What is the eighth root of 985805 to the nearest integer?
6
What is the square root of 179207 to the nearest integer?
423
What is the cube root of 3231545 to the nearest integer?
148
What is 534278 to the power of 1/3, to the nearest integer?
81
What is 8556817 to the power of 1/7, to the nearest integer?
10
What is 5505892 to the power of 1/9, to the nearest integer?
6
What is 257667 to the power of 1/8, to the nearest integer?
5
What is 338868 to the power of 1/2, to the nearest integer?
582
What is the fourth root of 49494 to the nearest integer?
15
What is the square root of 813475 to the nearest integer?
902
What is the third root of 1011964 to the nearest integer?
100
What is the seventh root of 4284 to the nearest integer?
3
What is 4564865 to the power of 1/3, to the nearest integer?
166
What is 338120 to the power of 1/7, to the nearest integer?
6
What is the fifth root of 2517663 to the nearest integer?
19
What is the third root of 71838 to the nearest integer?
42
What is the seventh root of 8557949 to the nearest integer?
10
What is the third root of 1030193 to the nearest integer?
101
What is the ninth root of 2933960 to the nearest integer?
5
What is the square root of 4299639 to the nearest integer?
2074
What is 167610 to the power of 1/2, to the nearest integer?
409
What is 864011 to the power of 1/2, to the nearest integer?
930
What is the cube root of 25038 to the nearest integer?
29
What is the fifth root of 126299 to the nearest integer?
10
What is 52622 to the power of 1/3, to the nearest integer?
37
What is 772976 to the power of 1/2, to the nearest integer?
879
What is the square root of 151964 to the nearest integer?
390
What is 43578 to the power of 1/2, to the nearest integer?
209
What is 4379973 to the power of 1/10, to the nearest integer?
5
What is 392594 to the power of 1/9, to the nearest integer?
4
What is 4318711 to the power of 1/2, to the nearest integer?
2078
What is 3358210 to the power of 1/8, to the nearest integer?
7
What is the third root of 1073472 to the nearest integer?
102
What is the square root of 2143953 to the nearest integer?
1464
What is 4648781 to the power of 1/2, to the nearest integer?
2156
What is 9724557 to the power of 1/5, to the nearest integer?
25
What is the square root of 7133322 to the nearest integer?
2671
What is the seventh root of 5000159 to the nearest integer?
9
What is 26639622 to the power of 1/2, to the nearest integer?
5161
What is 167151 to the power of 1/4, to the nearest integer?
20
What is the square root of 265204 to the nearest integer?
515
What is the square root of 623151 to the nearest integer?
789
What is 445252 to the power of 1/8, to the nearest integer?
5
What is the sixth root of 7157989 to the nearest integer?
14
What is 2189528 to the power of 1/9, to the nearest integer?
5
What is 1402578 to the power of 1/2, to the nearest integer?
1184
What is 2167082 to the power of 1/2, to the nearest integer?
1472
What is 107322 to the power of 1/2, to the nearest integer?
328
What is 7263170 to the power of 1/2, to the nearest integer?
2695
What is the seventh root of 178001 to the nearest integer?
6
What is the cube root of 606121 to the nearest integer?
85
What is 235680 to the power of 1/5, to the nearest integer?
12
What is 11444433 to the power of 1/2, to the nearest integer?
3383
What is 4600736 to the power of 1/2, to the nearest integer?
2145
What is the cube root of 8831166 to the nearest integer?
207
What is 1558162 to the power of 1/3, to the nearest integer?
116
What is the cube root of 316497 to the nearest integer?
68
What is 100625 to the power of 1/9, to the nearest integer?
4
What is the eighth root of 333236 to the nearest integer?
5
What is the seventh root of 249543 to the nearest integer?
6
What is the third root of 6894515 to the nearest integer?
190
What is the square root of 9594152 to the nearest integer?
3097
What is the third root of 4232823 to the nearest integer?
162
What is 3709773 to the power of 1/3, to the nearest integer?
155
What is the cube root of 8058741 to the nearest integer?
200
What is 17787816 to the power of 1/2, to the nearest integer?
4218
What is the cube root of 79095 to the nearest integer?
43
What is 1874135 to the power of 1/9, to the nearest integer?
5
What is the ninth root of 20757609 to the nearest integer?
7
What is the seventh root of 1574555 to the nearest integer?
8
What is 3518531 to the power of 1/3, to the nearest integer?
152
What is the seventh root of 1512626 to the nearest integer?
8
What is the cube root of 3757525 to the nearest integer?
155
What is the square root of 238140 to the nearest integer?
488
What is the eighth root of 154745 to the nearest integer?
4
What is the square root of 3776219 to the nearest integer?
1943
What is the fourth root of 266876 to the nearest integer?
23
What is the third root of 552252 to the nearest integer?
82
What is the third root of 479759 to the nearest integer?
78
What is the third root of 77999 to the nearest integer?
43
What is the square root of 1287068 to the nearest integer?
1134
What is 11505530 to the power of 1/2, to the nearest integer?
3392
What is the third root of 1745452 to the nearest integer?
120
What is the fifth root of 233290 to the nearest integer?
12
What is the square root of 57599 to the nearest integer?
240
What is the seventh root of 732470 to the nearest integer?
7
What is 19343609 to the power of 1/2, to the nearest integer?
4398
What is the square root of 12240419 to the nearest integer?
3499
What is 12958785 to the power of 1/3, to the nearest integer?
235
What is 178516 to the power of 1/2, to the nearest integer?
423
What is the cube root of 5331278 to the nearest integer?
175
What is the third root of 50078 to the nearest integer?
37
What is the eighth root of 131127 to the nearest integer?
4
What is 145679 to the power of 1/9, to the nearest integer?
4
What is the third root of 641253 to the nearest integer?
86
What is 134742 to the power of 1/3, to | {
"pile_set_name": "DM Mathematics"
} |
Solve -4*x + 4*w - 9 = 15, q*w - 8 = 0 for x.
-2
Let c(f) = -f**2 + 11*f - 12. Let u be c(5). Let z = u - 9. Let l = z + -7. Solve -2*b - h - 1 = 0, -3*b - l*b + h - 6 = 0 for b.
-1
Suppose -4*x + 5 = 3*l, -5*l - 5*x + 1 = -19. Solve 0 = -q + 2*w - 14, 317*w - 316*w = q + l for q.
-8
Suppose -25 = -5*a + 13*i - 9*i, 0 = -2*i. Suppose -a*j = -504 + 489. Solve p - 4 = j*x + 4, -4*p = -5*x - 18 for p.
2
Let o(c) = -c**2 + 2*c + 56. Let a be o(7). Suppose 3 = t + 4*d - a, 3*t + 5*d = 44. Solve -3*s + t*j + 5 = 3*j, -2*s + 5*j = -5 for s.
0
Let m be 100/450*18/2. Let x be m/27*-3 - 33/(-27). Solve -l - x = -0*l + 2*z, 0 = 4*l - z + 13 for l.
-3
Let a = 3 + 2. Suppose -3*o + 2*f + 13 = -21, a*f = -o. Suppose -o*m = -15*m. Solve 3 = -m*y + y + 4*t, -5*y - 1 = 4*t for y.
-1
Suppose k + 2 = -g, -4*g + 3*k - 3 + 23 = 0. Suppose -4*y - m + 7 + 5 = 0, -g = -5*y + 2*m. Solve 3*p + 46 = -3*a + 16, -3*p + y*a - 5 = 0 for p.
-5
Let l(o) = -2*o**3 + 38*o**2 - 2*o + 41. Let c be l(19). Suppose -3*q = -4*h - 6*q + 16, -2*q - 4 = -h. Solve -2*u + h*u = c*a - 7, 5*a + 4*u = -25 for a.
-1
Let r = 11745 - 11743. Solve -t - 2*b = b + 7, -r*t - 5*b = 12 for t.
-1
Suppose -5*u + 24 = -2*m + 221, 4*u = 5*m - 467. Let z = m - 87. Solve v - p - 8 = 0, -v - 16 = -z*v + p for v.
4
Let i be 102/(-4) + 1/(-2). Suppose 4*t - 128 = -4*s, -5*s - 72 = 196*t - 199*t. Let z = t + i. Solve -y + z*y = 5*c + 21, -4*c = 2*y + 6 for c.
-3
Suppose 16*d - 12 = 12*d. Suppose 7 = m - 4*m + w, d*w = -m + 11. Let z be (3 - m) + 12/8*10. Solve -2*b - z = c + 2*c, 5 = -c for b.
-2
Suppose -3*c - 112 = 3*t - 94, 36 = 3*c - 3*t. Solve -4*j = -5*s - 14 + 10, -c*j - 5*s - 32 = 0 for j.
-4
Let y = -17155 + 17160. Solve 6*u - 45 = -3*f, f = -3*f - y*u + 45 for f.
5
Let c be ((1296/45)/12)/((-9)/(-15)). Solve 0*t + 24 = -2*t + c*o, -5*o + 35 = -5*t for t.
-2
Let o(s) = -7*s - 29. Let i be o(-5). Suppose 28 = i*l - 20. Let y be (-2)/l - 0 - (-476)/112. Solve -3*k = r + y*r + 29, -4*r = -4*k + 4 for r.
-4
Let l = -661 + 662. Let i be -1 - l*(5 + -11 + 5). Solve i = -f + 3*f - 5*g - 4, 2*g - 4 = -2*f for f.
2
Let f(z) = z**3 + 83*z**2 + 91*z + 746. Let k be f(-82). Solve 3*y + 6 + 3 = 0, 5*m - y - k = 0 for m.
1
Suppose 2*f = -b + 8, -119*f + 120*f - 18 = -4*b. Suppose 5*g = 2*g + 6. Solve -b*o = -0*a + 4*a, -a = g*o - 2 for a.
-2
Let n be (-11)/(-4) - ((-14)/(-8) - 2). Suppose 160 = -n*d - d. Let o = d - -52. Solve -3*w = z + 10, 2*z - o = -0*z + 2*w for z.
2
Let s be -2*(124/(-8) + 4). Let d = 28 - s. Suppose -2*a - 5*b + 11 = -14, -2*b = 4*a - 26. Solve -d*p + 2*k = a, 5*p = -2*k - 4 - 1 for p.
-1
Suppose 0 = 330*s - 74*s - 490 - 790. Solve 5*r + u - s = -25, 3*u = -2*r + 5 for r.
-5
Let n = -265 - -441. Let j = -172 + n. Solve 0 = 4*s - 3*o, -s - j*s = -4*o for s.
0
Let f be 0 - (-1 - 1) - -18. Let d = f + 28. Suppose 4*w = w + d. Solve 3*t - 5*n = w, -2*t + 3*t = -4*n - 6 for t.
2
Suppose -9*l + 2*n + 16 = 0, -11*l = -9*l - 5*n + 1. Suppose -v - 10 = 3*a, -v - 10 - 4 = 4*a. Solve -4*d - 14 = v*i + 10, -l*d - 5*i = 20 for d.
-5
Suppose -l + 67 = 2*x, 2*x + 2*x = -4*l + 288. Let o = l - 74. Solve 3*c + 1 + 0 = -2*b, -o*c = 9 for b.
4
Let s be 5 - (-7)/21*-3. Suppose 0 = 4*p - 4*y + 8, 2*y = p + 4*y - s. Solve 4*t = -j + 2*j + 13, p = -3*t - 4*j + 24 for t.
4
Let u(p) = p**3 + 2*p + 15. Let x be u(0). Suppose -4*i = 3*d - x + 6, 0 = -d - 3*i + 3. Solve 0 = -b - 3*v + 9, d*v - 20 = 4*b + v for b.
-3
Suppose -4*i = 3*a + 524, 47*i - 52*i = 4*a + 697. Let u be (-2)/12 - 364/a. Solve -5*b + 5*w = -4 - 6, u = b - 2*w for b.
2
Suppose -5*g = 3*n - 13, 17*g - 3*n - 22 = 15*g. Solve -5*m = u - 4, -7 = -3*u + g for m.
0
Let o = 256 - -30. Let s = 290 - o. Solve 0 = -5*v + 4*r - 2, -12 = 5*v - 3*r + s*r for v.
-2
Let a be ((-21)/(-8) + -3)*208/(-26). Solve 2*k + 4 = a*o, -26 = 5*o + 4*k + 4 for o.
-2
Let m be (((-117)/(-24))/13)/(2/48). Solve 5*y = -g + 23, -4*g - 4*y - 8 = -m*y for g.
3
Let y be (5 - (-14)/(-3))*9. Let x = 36 + -34. Solve 0 = y*f + 2*p + 3, -4*p - 10 = x*f - 0 for f.
1
Let a(r) = -3*r**2 + 297*r + 2571. Let m be a(-8). Solve m*z - 3*g = -18, -3*z - g + 4 = 6 for z.
-2
Suppose 9 = 3*o - n + 104, 20 = -5*n. Let t be (-55)/o - (-30)/9. Let w(g) = 4*g**2 - 1. Let j be w(-2). Solve 12 = -4*i - t*c, 7*i + 4*c + j = 2*i for i.
-3
Let h = -93 + 97. Let z be (41 - 37)*5/h. Solve -3*a - z*k - 2 = -0, -5*a = -k + 22 for a.
-4
Let s be (-1 - 2/4)/((-300)/400). Suppose y + s = 0, -7 = 2*j - 3*j + 3*y. Solve v = -5*i + 14, -9 = -4*i - j for v.
4
Suppose 2*k - 890 = 508. Suppose -22*y = 259 - k. Solve -2*d + 3 = -j, 5*d - y = -0*d for j.
5
Let p = 665 - 643. Let t(s) = 2*s**2 - 43*s - 21. Let m be t(p). Solve -d = 2*x + d - 6, 5*d = 2*x + m for x.
2
Let f = 440 - 435. Suppose -3 = 3*b - 3*k, -5*b - 5*k + 50 = f. Solve -18 = 5*t - j - 0*j, t - 4*j = b for t.
-4
Suppose 0 = -2*a - 2*w + 24, -3*w - 33 - 6 = -2*a. Solve -c = -2*k + 4*k - 1, 3*c - a = 0 for k.
-2
Let f = 4 - 2. Suppose 0 = -8*o + 3552 - 10584. Let c = 884 + o. Solve 2*m = -3*i + c*m, f*m = -i + 3 for i.
1
Let z(h) = -6*h**2 + 93*h - 41. Let y be z(15). Solve -y = 18*u - 15*u - 2*b, -b - 24 = 5*u for u.
-4
Let p(i) = 33*i - 2892. Let z be p(88). Suppose t + 35 = 4*c, 8*c - 3*c = -4*t + 70. Suppose z*f = c*f + 8. Solve 4*q = -y - 2, 4*q - f = -3*y - 2 for q.
-1
Let w be 6*-3*(-9)/(-162). Let j be (w + 20/44)*(-154)/14. Solve -h + n + 2 = 5*n, -j = -3*h - 5*n for h.
2
Let f(a) = -2*a**3 + 168*a**2 + 3*a - 228. Let p be f(84). Solve -3*x = 4*v + v - p, 0 = v - 5*x + 12 for v.
3
Suppose c = -6 - 20. Let j be 4/c - 536/(-104). Suppose 4*q = -24 + 32. Solve -q*r = -u + 5, 0*u = -j*u + 5*r + 20 for u.
3
Suppose 3*a + 2*s = 132, -102*a = -100*a + 2*s - 92. Solve 39 = 3*j + 4*d + a, 2 = j - d for j.
1
Let m be ((-6)/4)/1*(-6 - -4). Let w = -146 + 161. Let a be (12/10)/(66/w + -4). Solve a*f - m - 7 = o, 3*o = 3*f - 12 for f.
3
Let n = -177 - -206. Suppose 4*t - 3*r + 213 = 9*t, 4*r - n = -t. Solve 19 = 5*g + k + t, -2 = g - 3*k for g.
-5
Let i be (-1)/((7/(-12))/7). Let t(k) = k**3 + 7*k**2 - k - 3. Let j be t(-7). Suppose -16 - i = -j*h. Solve -v - v + h = -a, 2 = a + v for a.
-1
Let r be -9*(715/(-99))/13. Solve -17*m + 1 = -l - 19*m, 3*m = r*l - 8 for l.
1
Suppose -5331*n + 5318*n + 169 = 0. Solve -3*d + 60 = -9*b, -3*b - n*d + 11*d = 5 for b.
-5
Let r = 12558 - 12554. Solve 0 = -r*a + 6*a, -3*z - 5*a = -15 for z.
5
Let k be 1*7 + 34/(-153)*9. Let a(u) = u**2 - u + 2. Let v be a(0). Let j be -1 - v/2 - -5. Solve n + 27 = k*s + 3*n, 0 = -2*s - j*n + 13 for s.
5
Let s(l) = -2*l**3 - 14*l**2 - 36*l - 55. Let i be s(-5). Solve 3*v + 21*a = i*a + 5, 3 = v - 2*a for v.
-1
Let j(n) = n**3 - 5*n**2 - 5*n - 7. Let c be j(6). Let y be 13 + -8 + c*2. Suppose y*o = -3*o. Solve 4 = 5*w - h, 2*w + o*w + 4 = -h for w.
0
Let g be (-2 - (-14)/6)*75. Suppose 5*b + 0*b = g. Let s = 2903 + -2893. Solve -9 = b*d + 2*p, 0 = -3*d - p + 4 - s for d.
-3
Suppose 36*k + 198 = -90. Let f be 0*((2 - -5) + k). Solve 5*h - 4*m + m - 35 = f, m + 1 = -h for h.
4
Let x(c) = 6*c**2 + 39*c + 2. Let y be x(-6). Let t = y + 19. Solve p + n = t + 5, p - 5*n = -22 for p.
3
Let o = -11 + 14. Let l(f) = -f. Let k be l(o). Let n be (-5)/(1 + k + 1). Solve 2*h - 4*t - 12 = 0, -n*h + 2*t - 2 = -0 for h.
-2
Suppose 7 + 125 = 11*s. Suppose 0 = -5*k - 3*f + 72, 3*k = 9*f - s*f + 42. Solve 5*t - 2*p - k = 0, 0 = 3*t + t - p - 9 for t.
1
Suppose 2*x - 7 = -a - 9, x = -4*a + 13. Solve 4*p - a*s + 40 = 0, 0 = 3*s - 4 - 2 for p.
-8
Let o = 542 + -513. Let h = o + -29. Solve -4*i = -z - i + 19, h = -z - 2*i - 6 for z.
4
Let b = -398 + 364. Let j(w) = -w**3 + w**2 - w + 36. Let s be j(0). Let l = b + s. Solve 4*x - n - 11 = 0, -l*x + 5 + 6 = 5*n for x.
3
Let k = 16 - 12. Suppose -4*x = 3*x - 14. Suppose -x*h = -2*p - 2, -p - k*h + 2 = -6*p. Solve 0 = -3*y + p*c - 2, 4*y + 0 = -c + 1 for y.
0
Suppose -1243 = -16*v + 1429. Let m = v - 164. Solve -m*a - 3 = -6, 3*x = -4*a - 11 for x.
-5
Suppose n + 6*n - 70 = 0. Suppose -4*z + 30 + n = 0. Suppose 2*m - z = -4. Solve -2*p - m = 3*g + 3, 2 = -g - 5*p for g.
-2
Let l(v) = v**3 + 26*v**2 - 26*v + 27. Let f be l(-27). Solve 0 = -2*j + 7*j - 2*i - 15, 4*j + 5*i - 45 = f for j.
5
Let c = -42 + 12. Suppose -260*a + 254*a = -180. Let l = a + c. Solve 2*z - 5*h = 5 | {
"pile_set_name": "DM Mathematics"
} |
Suppose -5*a - 2*k + 72 = 0, -20 = -2*a - 5*k + 13. Determine a*f(r) + 4*g(r).
2*r + 22
Let y(n) = 364*n**2 + 169*n. Let d(z) be the second derivative of -13*z**4/12 - z**3 + 847*z. Determine -169*d(j) - 6*y(j).
13*j**2
Let p = -281 + 278. Suppose 0 = 7*r - 3*r + 4. Let z(t) = 15 + 0*t + 3*t**2 + t**3 - 3*t + 2*t - 14. Let q(a) = -a**2 + a - 1. What is p*q(f) + r*z(f)?
-f**3 - 2*f + 2
Let w(n) = n**3 + 30*n**2 + 20*n - 11. Let k be w(-1). Let o(l) = -l**3 + 1. Let a(b) = 2*b**3 - b - 2. What is k*a(p) - 3*o(p)?
-p**3 + 2*p + 1
Let f(j) = -6*j + 30. Let w = 14371 - 14373. Let r(c) = 0 - 4*c - 6 + 5*c. Let a(t) = w*f(t) - 11*r(t). Let d(i) = -5*i - 25. Determine -25*a(z) - 6*d(z).
5*z
Let g(h) be the first derivative of -7/3*h**3 + 17/4*h**4 + 0*h**2 + 0*h + 8. Let l(b) = 8*b**3 - 3*b**2. Calculate -3*g(i) + 7*l(i).
5*i**3
Let o(g) = -8766*g - 4870. Let y(k) = 3*k + 2. What is o(f) + 2435*y(f)?
-1461*f
Let p(i) = i**2 + 1. Let m = 10 + -11. Let c(t) = 2 + 7 + 8 - 12 + 5*t**2. Determine m*c(l) + 4*p(l).
-l**2 - 1
Let x(q) = 6*q**2 + q - 1. Let b(v) = 38*v**2 + 1441*v - 7. Give -b(s) + 6*x(s).
-2*s**2 - 1435*s + 1
Let y(v) = 6*v**3 + 20*v**2 - 12*v - 65. Let c(m) = -7*m**3 - 21*m**2 + 15*m + 67. What is 4*c(n) + 5*y(n)?
2*n**3 + 16*n**2 - 57
Let o = 12990 + -12995. Let f(w) = 32*w - 6 - 11 + 3. Let q(r) = 11*r - 5. Determine o*f(p) + 14*q(p).
-6*p
Let o(z) = 11*z. Let a(q) = 14144*q. Determine a(x) - 1088*o(x).
2176*x
Let n(f) = 5*f - 1. Let h be ((-19)/(76/(-8)))/1. Let m(d) be the second derivative of -d + 0*d**h + 1/6*d**3 + 0. Give 3*m(p) - n(p).
-2*p + 1
Let r(m) = 0 - 3 + 5 - 2 + m. Let x(b) = b**3 - 13*b**2 + 3*b - 38. Let w be x(13). Let t(l) = 15*l - 2. Determine w*t(j) - 6*r(j).
9*j - 2
Let u(c) = -4*c**2 - 1. Let a(h) = 20*h**2 + 4. Suppose 8 = j + 4*m, 3*j - 3 = 4*m + 5. Suppose -56 = 8*w - j*w. Determine w*u(z) - 3*a(z).
-4*z**2 + 2
Let a(w) = 1875*w. Let o(b) = 161872*b. What is -604*a(l) + 7*o(l)?
604*l
Let s(o) = -3*o**2 + 21*o - 46. Let q(x) = x**2 - 8*x + 16. Calculate 11*q(n) + 4*s(n).
-n**2 - 4*n - 8
Let z(b) = -4*b**2 + b**3 - 2*b + 0*b**2 - b**3 - 2*b**3 + 2. Let g(m) = 2*m**3 + 3*m**2 + 2*m - 1. Let d = 759 - 756. Determine d*z(l) + 4*g(l).
2*l**3 + 2*l + 2
Let k be 6 - 1*3/(-1). Let h(g) = -5*g**2 - 5*g. Let u = 853 - 851. Let x(v) = 4*v + 15 - 3*v - 15 + v**2. Give k*x(b) + u*h(b).
-b**2 - b
Let p be (-2)/7 + 24/84. Let h(a) = -5 + p + a - 4*a. Let t(j) = j + 1. Let z be 6/(-6)*(-15)/1. Calculate z*t(q) + 3*h(q).
6*q
Let f(u) = -4*u**2 + 8*u - 6. Let g(s) = -7*s**2 + 15*s - 11. Suppose -651 = -5*b - 676. Calculate b*f(m) + 3*g(m).
-m**2 + 5*m - 3
Let h(i) = -7*i**3 - i**2 + i + 1. Let c(x) = 22*x**3 + 13*x**2 - 7*x. What is -c(q) - 3*h(q)?
-q**3 - 10*q**2 + 4*q - 3
Let f(l) be the first derivative of -2*l**2 - l - 2. Let c be (3/27)/((-35)/315). Let k(r) = -r**2 - 1. What is c*k(d) + f(d)?
d**2 - 4*d
Let z(c) = 1 + 5*c**2 + 1 + 1. Let t(f) = -334*f**2 + 4*f + 378*f**2 + 26 - 4*f. Let m = 108 + -56. Determine m*z(a) - 6*t(a).
-4*a**2
Let d(t) = -14*t**2 + 6*t. Let j(x) = x**3 - 14*x**2 + 8*x. Calculate 3*d(g) - 2*j(g).
-2*g**3 - 14*g**2 + 2*g
Let m(i) = -27*i**2 + 15*i + 12. Let v(b) = 3*b**2 - 11324*b + 4*b**2 - 3 + 11320*b. Calculate -4*m(r) - 15*v(r).
3*r**2 - 3
Let v(x) = x**3 - x**2 + 2*x + 8. Let k(s) = 6*s**3 - s**2 - 183*s + 41. Give -k(f) + 5*v(f).
-f**3 - 4*f**2 + 193*f - 1
Let m(l) = 2213*l - 18. Let s(a) = -2212*a + 12. Give 2*m(n) + 3*s(n).
-2210*n
Let i(y) = 9*y + 3551. Let z(b) = 3*b + 1162. What is -4*i(j) + 11*z(j)?
-3*j - 1422
Let t(y) = 3823*y + 3. Let m be t(0). Let i(k) = 3*k**3 - 3*k**2 - 4*k - 14. Let h(r) = -r**3 + r**2 + r + 5. Calculate m*i(s) + 8*h(s).
s**3 - s**2 - 4*s - 2
Let w(a) = 4506790*a**3 + 12188*a**2 - 6094*a + 73128. Let r(x) = 2219*x**3 + 6*x**2 - 3*x + 36. What is -12188*r(y) + 6*w(y)?
-4432*y**3
Let r(f) = -f**3 + f**2 - 5*f. Let j(u) = 4*u**3 + 172*u**2 - 10*u. Calculate -j(a) + 2*r(a).
-6*a**3 - 170*a**2
Let z(n) = 4*n - n**3 + 14 - 4*n**3 + 10*n + 3 + 11*n**2. Let f(w) = 2*w**3 - 4*w**2 - 5*w - 6. Let h = -677 + 681. Give h*z(d) + 11*f(d).
2*d**3 + d + 2
Let d(j) = -7*j - 4. Let w(a) = 3 + 1963*a + 3 - 1957*a - 2. Determine 3*d(i) + 4*w(i).
3*i + 4
Let s(i) = -126*i - 441. Let g(n) = 2*n + 16. Determine -28*g(r) - s(r).
70*r - 7
Let w(z) = 20*z + 9. Let r(p) = 13*p + 6. Let g(a) = -8*r(a) + 5*w(a). Let j(f) = -f - 1. Calculate g(h) - 6*j(h).
2*h + 3
Let c(z) = z**3 - 2*z**2 - 5*z. Let f(n) = 8*n**3 + 13*n**2 + 14*n + 10. What is 3*c(h) + f(h)?
11*h**3 + 7*h**2 - h + 10
Let g(u) = 47*u**3 + 257*u**2 + 6*u - 2. Let j(f) = 35*f**3 + 254*f**2 + 5*f - 3. Give 3*g(w) - 4*j(w).
w**3 - 245*w**2 - 2*w + 6
Let j(d) = d - d - 3*d - 11 + 29 - 6*d. Suppose -401*y - 5 = -406*y. Let o(k) = k - 1. Calculate y*j(m) + 18*o(m).
9*m
Let r(h) = 169*h**2 - h**3 - 163*h**2 - 2*h - 4*h**3. Let s = 6 - 13. Let p(z) = -6*z**2 - z**2 + 285*z**3 - 279*z**3 + 0*z**2 + 2*z. Give s*r(u) - 6*p(u).
-u**3 + 2*u
Let n(d) = -2*d**2 + 17*d + 3. Let f(b) = 123*b - 157*b + 3*b**2 - 141 + 136. Determine -3*f(c) - 5*n(c).
c**2 + 17*c
Let w(d) = -2*d**3 + 52*d**2 - 7*d + 29. Let m(p) = 3*p**3 - 79*p**2 + 11*p - 44. Give -5*m(c) - 8*w(c).
c**3 - 21*c**2 + c - 12
Let x(j) = -j + 5. Let p(q) = q**2 - 82*q + 1111. Let v be p(65). Let s(o) = 2. Calculate v*x(d) - 13*s(d).
-6*d + 4
Let s(b) = -b**2 - b - 1. Let c = 3419 + -3417. Let u(d) = d**3 + 2*d**2 + 3*d + 2. What is c*s(v) + u(v)?
v**3 + v
Let k(d) = 1301*d**2 - 3*d + 81. Let g(a) = -649*a**2 + a - 36. Determine 9*g(b) + 4*k(b).
-637*b**2 - 3*b
Let p(u) = 2*u**3 - 230*u**2 + 5*u + 5. Let g(m) = -114*m**2 + 2*m + 2. Calculate 5*g(d) - 2*p(d).
-4*d**3 - 110*d**2
Let z(n) = n**2 + 5*n + 25. Let l(x) = x**2 + 4*x + 21. Let m(t) = 6*l(t) - 5*z(t). Let r(v) = 4*v**2 - 5*v + 4. Let y = 6 - 7. What is y*r(p) + 3*m(p)?
-p**2 + 2*p - 1
Let k(o) = 27*o - 288. Let w(s) = -15*s + 143. Determine -3*k(p) - 5*w(p).
-6*p + 149
Let h = 1141 + -1143. Let w(u) = -u. Let a(c) = -7*c**2 + 3. Determine h*w(b) + a(b).
-7*b**2 + 2*b + 3
Suppose -88 = -160*p - 888. Let n(f) = 31*f**3 - 5*f**2 - 5*f - 5. Let t(u) = -u**2 - u - 1. Give p*t(x) + n(x).
31*x**3
Let a(k) = 8. Let r(n) = 86*n - 24. Determine 2*a(h) + r(h).
86*h - 8
Let w(l) = 97*l - 4 - 198*l + 4 + 95*l. Let n = 29 - 27. Let x(q) = -2*q - n*q + 2*q + 3*q. Determine -4*w(y) - 27*x(y).
-3*y
Let h(c) = c**3 - c**2 + 2*c - 7. Let x(r) = 5*r**3 - 4*r**2 + 9*r - 28. Let i(v) = 364*v + 2175. Let d be i(-6). What is d*h(s) + 2*x(s)?
s**3 + s**2 + 7
Let v(u) = u - 11. Suppose 5*s = 2*s + 6. Suppose s = -2*a + 3*a. Let l(f) be the first derivative of 5*f - 566. Calculate a*v(o) + 5*l(o).
2*o + 3
Let l(j) = -1100*j**3 + 121*j + 121. Suppose -5*r + 2*r = 2*u + 3, -2*r - 12 = 3*u. Let k(f) = 55*f**3 - 6*f - 6. Calculate u*l(x) - 121*k(x).
-55*x**3
Let t(g) = -863*g**2 + g + 33. Let m(u) = -172*u**2 + 6. Calculate 11*m(k) - 2*t(k).
-166*k**2 - 2*k
Let h(f) = 116*f - 84. Let z(d) = -619*d + 419. Calculate 16*h(r) + 3*z(r).
-r - 87
Let u(q) = -9*q. Let p(o) = 5*o**2 + 14*o - 41. Let x be p(-12). Let w = x - 500. Let g(v) = 5*v. Give w*g(r) + 6*u(r).
r
Let f(o) = -18*o**2 - 2*o + 35. Let a(v) = -73*v**2 - 9*v + 142. Calculate -2*a(c) + 9*f(c).
-16*c**2 + 31
Let x(y) = 2*y - 7. Let r(s) = -2*s**2 - 11*s + 128. What is r(b) + 5*x(b)?
-2*b**2 - b + 93
Let h(j) = 464*j**2 + 9. Let b(f) = -424*f**2 - 8. Give 4*b(y) + 3*h(y).
-304*y**2 - 5
Let n(i) = 41*i - 393. Let j(m) = 14*m - 147. Determine 17*j(l) - 6*n(l).
-8*l - 141
Let h(g) = -g**3 - g + 1. Let n(a) = -3*a**3 - a**2 + a. Let m = 18071 + -18070. What is m*n(b) + 2*h(b)?
-5*b**3 - b**2 - b + 2
Let b(s) = 22*s - 5. Let p(a) = a + 91. Let w(t) = 18. Let f(r) = p(r) - 5*w(r). Determine -b(x) - 5*f(x).
-27*x
Let n(t) = t**2 + 8*t - 16. Let i be n(-9). Let v(l) = 21*l - 149. Let o be v(7). Let u(f) = -10*f**2 + 7. Let w(x) = 3*x**2 - 2. What is i*w(a) + o*u(a)?
-a**2
Let r(l) = 225638*l**3 + 1136*l**2 + 1136*l + 1136. Let i(z) = 994*z**3 + 5*z**2 + 5*z + 5. What is 1136*i(d) - 5*r(d)?
994*d**3
Let p(u) = -9. Let i(h) = -52. Let j(q) = -i(q) + 6*p(q). Let o(x) = -9*x - 3 + 19*x - 11*x. Suppose -b = -2*b + 4. Determine b*j(c) - 3*o(c).
3*c + 1
Let p = 85 - 66. Let t = p + -16. Suppose 12*m - t*m = -27. Let | {
"pile_set_name": "DM Mathematics"
} |
+ 5 - 25 + 5.
-15*v + 4
Collect the terms in -1587*b - 1266*b + 2 - 2998*b.
-5851*b + 2
Collect the terms in -219*o**3 - 55582*o**2 + 3*o + 55582*o**2 - 3*o.
-219*o**3
Collect the terms in 3*v + 4*v + 4*v - 8*v + 1253 - v.
2*v + 1253
Collect the terms in -3 - 17*s - 7*s - 31*s + 103*s - 3*s.
45*s - 3
Collect the terms in 6615*b + 6449*b - 13066*b + 1.
-2*b + 1
Collect the terms in 31330*x - 156479*x - 211418*x - 910080*x.
-1246647*x
Collect the terms in 1346*g**3 - 2461*g**3 + 1657*g**3.
542*g**3
Collect the terms in -199*z - 45*z**2 + 399*z - 198*z + 27*z**2 + 16*z**2.
-2*z**2 + 2*z
Collect the terms in -3863*t**2 - 3862*t**2 - 237 + 7723*t**2.
-2*t**2 - 237
Collect the terms in -5856733*z + 11713461*z - 5856725*z.
3*z
Collect the terms in 126943*y - 126320*y + 7*y**2 + 9*y**2.
16*y**2 + 623*y
Collect the terms in -120*w + 171*w - 51*w - 5*w**3 + 69*w**3.
64*w**3
Collect the terms in 96 + 125711*k**2 - 193 + 97.
125711*k**2
Collect the terms in -40*l**3 + 8*l**3 + 10*l**3 + 35809*l - 35809*l + 16*l**3 + 20*l**3.
14*l**3
Collect the terms in 55*q + 9 + 68*q + 45*q + 42*q - 155*q - 10.
55*q - 1
Collect the terms in 4419*q**3 - 10082*q**3 + 5692*q**3.
29*q**3
Collect the terms in -6*j + 24*j - 10*j + 52*j**2 - 77*j**2 - 3*j - 7*j.
-25*j**2 - 2*j
Collect the terms in 2167515*t**2 - 8 - 2168715*t**2 + 8.
-1200*t**2
Collect the terms in 8141*x + 5393*x**2 - 8141*x.
5393*x**2
Collect the terms in -244*v + 244*v - 117*v**2 - 97*v**2.
-214*v**2
Collect the terms in -27*q**2 + 9*q**2 - 3*q**3 - 18*q**2 + 4*q**3 - 38.
q**3 - 36*q**2 - 38
Collect the terms in -10*g**2 + 8*g**2 + 22190*g - 192381*g.
-2*g**2 - 170191*g
Collect the terms in 5574*m**3 - 809*m**3 + 108*m**3.
4873*m**3
Collect the terms in 601*k + 4100896495 - 4100896495.
601*k
Collect the terms in -1 - 346643*x - 191353*x + 1.
-537996*x
Collect the terms in 23194*g + 23193*g + 23176*g + 23189*g - 115949*g + 23196*g.
-g
Collect the terms in -135*r - 31995 - 31993 - 136*r + 280*r + 95980 - 31992.
9*r
Collect the terms in 500*u - 708*u - 1204*u + 291*u - 937*u.
-2058*u
Collect the terms in 10339*b**3 + 24282*b**3 + 2993*b**3.
37614*b**3
Collect the terms in 393957 - 196984 + 5*y**3 - 6*y + 6*y - 196973.
5*y**3
Collect the terms in 4 - 35 + 27 + 2078*l**2 + 4.
2078*l**2
Collect the terms in 122*r**2 - 3*r - r + 166*r**2.
288*r**2 - 4*r
Collect the terms in -123774*j + 247662*j - 123813*j.
75*j
Collect the terms in -3 - 44*i**2 + 3 + 57*i**2 + 2 - 3.
13*i**2 - 1
Collect the terms in -3 + 28*m - m + 13*m + m - 17*m.
24*m - 3
Collect the terms in -6*a**3 - 8083278 + 16166570 - 8083292.
-6*a**3
Collect the terms in 18*s + 195 + 116*s + 340 - 138*s.
-4*s + 535
Collect the terms in -8 - 11 - 156 + 54 + 8*a + 44.
8*a - 77
Collect the terms in -50 + 121054*h**2 + 50 + 43688*h**2.
164742*h**2
Collect the terms in 5909*b - 12159*b + 6273*b + 1.
23*b + 1
Collect the terms in -1214382*p - 6*p**2 - 26*p**2 + 1214399*p.
-32*p**2 + 17*p
Collect the terms in 1581*g + 111 - 1583*g + 138 + 175.
-2*g + 424
Collect the terms in 26 + 74*s**2 + 20 + 11*s**2 + 202 - 248.
85*s**2
Collect the terms in 281*k + 283*k - 41 + 47 + 59 - 562*k.
2*k + 65
Collect the terms in -156*t + 462*t - 167 - 151*t - 153*t - 32 - 118.
2*t - 317
Collect the terms in -13*b + 10067455085005 - 10067455085005.
-13*b
Collect the terms in -49 + 32875*z**2 - 38 + 130.
32875*z**2 + 43
Collect the terms in 1050 + 4*f**3 + 4*f + 3239 - 2*f**3.
2*f**3 + 4*f + 4289
Collect the terms in 48097*r**3 + 10450*r**3 - 9777*r**2 + 9777*r**2 - 9164*r**3.
49383*r**3
Collect the terms in -54*s - 86*s + 140*s - 112891*s**2 + 112890*s**2.
-s**2
Collect the terms in -151*t + 151*t + 14694037*t**2.
14694037*t**2
Collect the terms in 125*y + 26*y + 103*y - 75*y + 106*y**3 + 58*y.
106*y**3 + 237*y
Collect the terms in -437*z**3 + 3*z - 3*z - 82*z**3 - 592*z**3.
-1111*z**3
Collect the terms in 111*o + 1 - 20 - 13 + 23.
111*o - 9
Collect the terms in -7164 - 691 - i - 457.
-i - 8312
Collect the terms in 6*r - 23*r - 658 - 639 + 1948 - 651.
-17*r
Collect the terms in -91994*d + 161898*d + 126666*d.
196570*d
Collect the terms in -1532*f**2 - 1134*f**2 - 916*f**2 - 2.
-3582*f**2 - 2
Collect the terms in 4218*r**3 - 4 + 4220*r**3 + 4213*r**3 + 14*r**2 + 4 - 12653*r**3.
-2*r**3 + 14*r**2
Collect the terms in -338*b - 121 + 102*b + 117*b + 117*b.
-2*b - 121
Collect the terms in -2135 + 434 - 89*k + 1701.
-89*k
Collect the terms in -1008*k + 525677 - 525677.
-1008*k
Collect the terms in -w - 22287840712801 + 22287840712801.
-w
Collect the terms in 15 - 11 - 4 - 48*d**2 + 4 - 3.
-48*d**2 + 1
Collect the terms in -40160*z**2 + 64191*z**2 + 39222*z**2 - 1 + 84957*z**2 - z.
148210*z**2 - z - 1
Collect the terms in -141*i + 3 - 17 + 21.
-141*i + 7
Collect the terms in -8617*w**3 - 8049*w**3 + 24583*w**3 - 9579*w**3.
-1662*w**3
Collect the terms in 10*s**3 - 19768 + 11*s**2 + 19768.
10*s**3 + 11*s**2
Collect the terms in -6*i**3 + 8016314124*i + 0*i**3 - 8016314124*i + 2*i**3.
-4*i**3
Collect the terms in -7 + 511*v**2 - 13 - 294*v**2 - 218*v**2 + 6.
-v**2 - 14
Collect the terms in -421*b**2 - 971*b**2 - 394*b**2 - 401*b**2 - 399*b**2 + 2587*b**2.
b**2
Collect the terms in 1395125*m**3 - 697335*m**3 - 690940*m**3 - 1.
6850*m**3 - 1
Collect the terms in 24*w**2 - 2 - 13*w**2 + 25*w**2 - 8990*w.
36*w**2 - 8990*w - 2
Collect the terms in -4727 + 10*i + 4727 - 221*i**3 - 6*i - 68*i**3.
-289*i**3 + 4*i
Collect the terms in -75*a**2 + 13 + 13*a**2 + 1 + 81*a**2 - 14.
19*a**2
Collect the terms in -518*s - 81*s + 43*s**3 + 599*s.
43*s**3
Collect the terms in 1 + 1056237*l**2 + 39*l + 186*l - 1056240*l**2.
-3*l**2 + 225*l + 1
Collect the terms in -168*p**3 + 4 - 298*p**3 + 842*p**3 - 4.
376*p**3
Collect the terms in -128207410*w**3 + 128207412*w**3 - 9*w + 9*w.
2*w**3
Collect the terms in -3 - 4169*s**2 + 3 + 1177*s**2 + 2979*s**2.
-13*s**2
Collect the terms in 3*w - 7*w + 47 - w - 49 - w - 6*w - 24*w**2.
-24*w**2 - 12*w - 2
Collect the terms in 5*g**2 - 3238*g**3 - 3231*g**3 + 66*g**2 + 6479*g**3.
10*g**3 + 71*g**2
Collect the terms in -45*c**3 + 7*c**3 + 16*c**3 + 21*c**3 + 10*c**3 - 47*c**3 + 16*c**3.
-22*c**3
Collect the terms in 40033902283751 + 15*h - 40033902283751.
15*h
Collect the terms in -19*c - c**2 - 13*c - c - 501*c**3 + 60*c - 5*c.
-501*c**3 - c**2 + 22*c
Collect the terms in -163*q**3 - 1016*q**2 + 1003*q**2 + 158*q**3.
-5*q**3 - 13*q**2
Collect the terms in -20*g**2 - 16*g**2 - 20*g**2 - 474*g**2 - 21*g**2 + 556*g**2.
5*g**2
Collect the terms in -37469651948*g**3 + 2*g + 37469651947*g**3 - 2*g.
-g**3
Collect the terms in 57*u + 59*u + 3347 + 63*u - 177*u.
2*u + 3347
Collect the terms in 69163*z**3 + 48116*z**3 + 70414*z**3.
187693*z**3
Collect the terms in -13*l**3 + 272*l + 23*l**3 - 11*l**3 + 0*l**3.
-l**3 + 272*l
Collect the terms in 165*n**3 + 118*n**3 - 437*n**3 + 24*n**3.
-130*n**3
Collect the terms in 2 - 17788*h**3 - 18034*h**3 - 2 + 35540*h**3 - 4*h.
-282*h**3 - 4*h
Collect the terms in 15208*s + 19013*s - 34221*s - 71*s**2.
-71*s**2
Collect the terms in -3*p + 3*p - 362692*p**2 + 362692*p**2 - 272*p**3 + 273*p**3.
p**3
Collect the terms in -3677954*x - 3677986*x + 11033912*x - 3677974*x.
-2*x
Collect the terms in -42*c**2 + 67061*c**3 + 42*c**2 - 5013*c**3.
62048*c**3
Collect the terms in -h + 95 + 9*h - 8*h - 97 - 2*h.
-2*h - 2
Collect the terms in -685*n**2 - 25*n**3 + 161*n**2 + 197*n**2 + 276*n**2 + 243*n**2.
-25*n**3 + 192*n**2
Collect the terms in -21296 - 21303 - 21179 - 2*b + 63778.
-2*b
Collect the terms in -3621*u + 5*u**2 - 3614*u - 3734*u + 10969*u.
5*u**2
Collect the terms in 8*p - p - 3*p - 363184 - 3*p.
p - 363184
Collect the terms in -561516*j**2 - 561621*j**2 + 1123305*j**2.
168*j**2
Collect the terms in 706 + 424 + 417 - 1547 + 70*n.
70*n
Collect the terms in 9694*o**2 + 9713*o**2 - 119*o**3 - 19405*o**2.
-119*o**3 + 2*o**2
Collect the terms in 274*x - 32*x + 24*x + 878*x + 386*x.
1530*x
Collect the terms in -z**2 + 0 + 2060526*z + 0 - 2060617*z.
-z**2 - 91*z
Collect the terms in 2738*f - 5463*f + 2816*f.
91*f
Collect the terms in 10597*h - 1 + 1 - 21443*h + 10776*h.
-70*h
Collect the terms in 3401788 + 3402026 - 19*f**3 - 6803814.
-19*f**3
Collect the terms in 8228*y**3 + 5455*y**3 - 4230*y**3 + y**2.
9453*y**3 + y**2
Collect the terms in 5*u | {
"pile_set_name": "DM Mathematics"
} |
emainder when l(-20) is divided by 15?
14
Let u(m) = m**3 + 3*m**2 - m. Suppose 5*b - k + 11 + 24 = 0, -8 = 3*b + 2*k. What is the remainder when 12/(-18) - 28/b is divided by u(-3)?
1
Suppose -4*i = -3*c + 275 - 42, 0 = -5*i + 20. Calculate the remainder when c is divided by 17.
15
Let n(f) = f**2 - 5*f + 2. What is the remainder when n(-4) is divided by -3 - ((-1)/(-3) - (-40)/(-3))?
8
Let k be 1 + -3 + 6 + 2. Let v = k - 3. Suppose 2 = -v*n + 8. What is the remainder when 2 is divided by n?
0
Let a = -1 + 13. Let c(q) = 6*q + 45. What is the remainder when c(-2) is divided by a?
9
Let l(t) = -t**3 - 3*t**2 + 12*t + 28. Calculate the remainder when 106 is divided by l(-5).
16
Let c be (-3 - -9)*8/3. Suppose 0 = 4*z - c, 4*z + 38 = 3*k - 0*z. Calculate the remainder when k is divided by 7.
4
Let y = -14 - -4. Let s(b) = b**2 + 6*b - 4. Let x be s(-6). Let q = x - y. Calculate the remainder when 9 is divided by q.
3
Let j(u) = -u**2 + 17*u + 21. Calculate the remainder when j(14) is divided by 17.
12
Let x = 3 + 0. Calculate the remainder when 7 is divided by x.
1
Let s(a) = -5*a - 18. Calculate the remainder when 125 is divided by s(-12).
41
Let w(n) = 16*n**2 + 5*n + 3. Calculate the remainder when w(-2) is divided by 15.
12
Let o = -17 - -31. Calculate the remainder when 50 is divided by o.
8
Let r(k) = 35*k**2 - 4*k. What is the remainder when r(-1) is divided by 14?
11
Let l(b) = b**3 - 2*b**2 - 2*b - 3. Let n be l(3). Suppose n*u - 4*u = -28. What is the remainder when u is divided by 5?
2
Suppose 4*u - 4*q = -40 - 24, -5*u + q = 88. Let v = 42 + u. Calculate the remainder when v is divided by 13.
11
Suppose 7*v + 70 = 12*v. Let m = -95 - -148. Calculate the remainder when m is divided by v.
11
Suppose -4*a = 2*p - 13 - 7, -a = p - 6. Let k(n) = 13 - n**2 + 2*n**p + 10*n + 0. What is the remainder when 10 is divided by k(-9)?
2
Let i be 107/4 - 1/(-4). Suppose -4*p + i = -p. Calculate the remainder when (-2)/(-5) + -164*(-33)/220 is divided by p.
7
Let c be (-30)/(-4)*4/(-5). Let m = 11 + c. What is the remainder when 9 is divided by m?
4
Let x = 11 + -2. Suppose -49 + x = -4*j. What is the remainder when 27 is divided by j?
7
Let l(q) = 3*q - 1. Let s be l(1). What is the remainder when s - (-1 - 36 - -2) is divided by 20?
17
Let p(d) = d**3 + 7*d**2 + d + 10. Let b be p(-7). Suppose 0*m = b*m - 9. Let w = -10 + 17. Calculate the remainder when w is divided by m.
1
What is the remainder when 31 is divided by (154/70)/(2/10)?
9
Suppose 0 = 4*q + 2 - 10, 2*i - 70 = 4*q. What is the remainder when i is divided by ((-20)/6)/(1/(-3))?
9
Suppose 0 = -41*p + 42*p - 6. What is the remainder when p is divided by 4?
2
Let w(r) = r + 10. Suppose 2*l - 6*j + 3*j = -22, -5*j = -2*l - 26. Let u be w(l). Let g(o) = 8*o - 3. Calculate the remainder when 24 is divided by g(u).
11
Suppose -u + 0*u = 5, 4*a + 25 = -u. Let l(w) = 19 - w**2 + 3*w + 2*w**2 - 12. What is the remainder when l(a) is divided by 6?
5
Suppose 0 = -4*l - 8*i + 3*i + 18, 5*l - 5*i = 0. Let c(r) = 0*r - l*r - 1 + r**2 + 4*r. What is the remainder when 13 is divided by c(2)?
6
Let p = -221 - 311. Calculate the remainder when 29 is divided by p/(-36) + (-2)/(-9).
14
Let k(b) = b**2 - 5*b + 10. Let c be k(-9). Let g be (-9)/(-6)*c/6. Suppose -d - 4*w + 0*w = -g, -w = -5*d + 212. What is the remainder when d is divided by 22?
20
Let d = 55 + -33. Let c(r) = -2*r - 2. Let s be c(12). What is the remainder when d is divided by 4/s - (-632)/52?
10
Suppose -5*n = 5 - 65. Calculate the remainder when 34 is divided by n - 6 - (1 - 4).
7
Suppose 2*g + 0*j - 25 = -j, -g = 5*j - 8. What is the remainder when g is divided by 7?
6
Let r(n) = n + 16. Calculate the remainder when r(15) is divided by 16.
15
Let n(b) = 12*b - 45. Calculate the remainder when 161 is divided by n(6).
26
Let v = 102 - 74. What is the remainder when v is divided by 17?
11
Suppose 3*v + 10 = 5*v. What is the remainder when 12 is divided by v?
2
Let d = -1 + 22. Let b = d - 12. Calculate the remainder when b is divided by 5.
4
Let v be (5*1)/(7/21). Let x = -5 + v. What is the remainder when x is divided by 3?
1
Let z = 96 + -92. Suppose 0 = 4*o - o - 51. Calculate the remainder when o is divided by z.
1
Suppose 12 + 5 = -y. Let t = y + 2. Let g = 4 - t. Calculate the remainder when g is divided by 7.
5
Let y = 28 - 1. Let b(q) = q + 9. Calculate the remainder when 171/y + (-4)/(-6) is divided by b(-6).
1
Let g(o) = -o**3 + 9*o**2 + 11*o - 8. What is the remainder when g(9) is divided by 19?
15
Let i be ((-18)/(-8))/((-1)/(-8)). Let w be (-14)/i - 2/9. What is the remainder when 5 is divided by (2 + (w - -1))/1?
1
Suppose -2*q + 123 + 19 = 0. Suppose 330 = 5*n - 3*o, 13 - q = -n - o. What is the remainder when n is divided by 16?
15
Let b = 193 + -94. Suppose 2*o - 3*z = b, 5*o - 86 = -2*z + 114. Calculate the remainder when o is divided by 22.
20
What is the remainder when (-7 + -1)/(6/(-33)) is divided by 276/4*2/6?
21
Calculate the remainder when 3 is divided by 4/(-2) - (-1 + -9 + 6).
1
What is the remainder when (-2 + 3)*26 - -3 is divided by 15?
14
Let m(c) = -3*c + 8. Let k be m(-10). Suppose -t = t - k. What is the remainder when t is divided by 11?
8
Let z = -146 - -214. Let y = -40 + z. Calculate the remainder when y is divided by (-1)/(-1) - (-10 + 1).
8
Let s = -1 - 6. What is the remainder when (s/14)/(1/(-38)) is divided by 5?
4
Let j = -39 - -51. What is the remainder when 41 is divided by j?
5
Let s = 26 - -5. Suppose -4*w + 2*w = -4*g + 16, -2*w - 6 = -2*g. Suppose 2*r + w*o = 22, 0*o - 3*o = 5*r - 55. What is the remainder when s is divided by r?
9
Let i(z) = 13*z + 107. Let h(s) be the first derivative of -3*s**4/4 - s**3 + 3*s**2/2 + 1. Calculate the remainder when h(-3) is divided by i(-7).
13
Let u be (1/1)/(1/(-6)). What is the remainder when 27 is divided by u/(-10) - (-64)/10?
6
Let n(r) = 9*r + 1. Let h(s) = -s**2 + s + 1. Let d(z) = -z**2 + 5*z - 1. Let w(y) = d(y) - 2*h(y). Calculate the remainder when n(3) is divided by w(-6).
13
Suppose -4*r = -20, 0 = -4*i + 4*r + r + 523. Suppose -3*v = y - i, 5*v + 0*v + 3*y = 231. Suppose 5*x - 2*x = v. What is the remainder when x is divided by 8?
7
Suppose 18 + 10 = -2*p. Let v = p - -8. What is the remainder when 3 is divided by 18/(-15)*15/v?
0
Suppose h + 34 = 2*h. Suppose -2*d + 8*g - 16 = 4*g, 3*d = -5*g - 79. What is the remainder when h is divided by (d/(-15))/((-1)/(-10))?
10
Let a be (7 - 0) + (-2 - -1). Let u = -9 - -14. Calculate the remainder when 52/6 + a/(-9) is divided by u.
3
Let y be 6/(-4)*(-48)/(-18). Let q(h) = h - 6. Let r be q(7). Calculate the remainder when r/2 + (-194)/y is divided by 17.
15
Let n(r) = 5*r**2 + 2*r - 1. Let y(w) = w**3 + 4*w**2 - 8*w - 5. Calculate the remainder when n(-3) is divided by y(-5).
8
Calculate the remainder when 74 is divided by -1*5*(-42)/14.
14
Let v = 16 + -9. What is the remainder when v is divided by (80/48)/(1/3)?
2
Let x(f) = -f**3 + 6*f**2 - 3*f + 12. Let d be x(6). Let q(v) = -v**3 - 7*v**2 - 6*v + 3. What is the remainder when 17 is divided by q(d)?
2
Let b(m) = -m**2 + 10*m - 8. Let q = 1 + -1. Let w be (8 - (1 + q)) + 0. Calculate the remainder when b(w) is divided by 7.
6
Let f(b) = -b + 7. Let l be f(6). Suppose -l = -5*r + 9. What is the remainder when 7 is divided by r?
1
Let c = -42 + 44. What is the remainder when 3 is divided by c?
1
Suppose -2*n = 3*t - t - 8, 5*n = 0. Let w = 9 + 7. Suppose t = -f + w. What is the remainder when 33 is divided by f?
9
Suppose 21 - 353 = -4*p. Let y = -54 + p. What is the remainder when y is divided by ((-2)/(-1))/((-3)/(-15))?
9
Let q = 32 + -15. Suppose l - 32 = 17. Calculate the remainder when l is divided by q.
15
Let s = 149 + -98. What is the remainder when 203 is divided by s?
50
Let h = -8 - -8. Suppose h = -u, -3*b + 4*b + 5*u = 3. Calculate the remainder when b is divided by 3.
0
Let h be 14/1 + 2 + -2. What is the remainder when 18 is divided by (-7)/h*(-20)/2?
3
Let y = -65 + 120. Calculate the remainder when y is divided by 19.
17
Let p be (-3)/9 + (-41)/3. Let r = p + 23. What is the remainder when r is divided by (-50)/15*3/(-2)?
4
Let u(r) = r**2 + r + 4. What is the remainder when 29 is divided by u(-3)?
9
Let z(g) = -g**3 + 3*g* | {
"pile_set_name": "DM Mathematics"
} |
14640?
120
What is the highest common divisor of 9 and 161748?
9
Calculate the greatest common factor of 432 and 6939.
27
What is the highest common divisor of 94225 and 25?
25
What is the highest common divisor of 36 and 736461?
9
Calculate the highest common divisor of 612 and 27999.
153
Calculate the greatest common factor of 1147 and 2604.
31
What is the greatest common factor of 1545 and 25029?
309
What is the greatest common divisor of 280 and 22200?
40
Calculate the highest common divisor of 16039 and 126074.
373
What is the highest common factor of 454 and 510977?
227
Calculate the greatest common divisor of 4944 and 8961.
309
What is the highest common divisor of 157 and 6049524?
157
What is the highest common divisor of 47852 and 4?
4
Calculate the highest common divisor of 33129 and 486.
81
Calculate the highest common factor of 6432 and 310344.
1608
What is the highest common divisor of 499319 and 699?
233
What is the highest common factor of 9842 and 2926?
266
What is the greatest common divisor of 2673 and 17253?
243
Calculate the highest common factor of 7460 and 5.
5
What is the highest common factor of 11 and 2186415?
11
Calculate the highest common divisor of 22 and 1079232.
22
Calculate the greatest common divisor of 15 and 9169395.
15
What is the greatest common divisor of 2252 and 7?
1
Calculate the highest common divisor of 60 and 8397560.
20
What is the greatest common factor of 1352 and 273949?
169
What is the highest common divisor of 766315 and 11?
11
What is the greatest common factor of 11 and 560197?
11
Calculate the greatest common factor of 439033 and 133.
133
What is the highest common divisor of 68 and 34068?
68
What is the highest common divisor of 44240 and 79?
79
Calculate the greatest common factor of 5756 and 84.
4
Calculate the greatest common divisor of 1564210 and 25.
5
What is the highest common factor of 833 and 451537?
17
What is the highest common factor of 110 and 86218?
22
What is the greatest common factor of 342810 and 293?
293
What is the highest common divisor of 6075 and 227475?
675
Calculate the highest common factor of 1864 and 1267054.
466
What is the greatest common divisor of 14 and 795802?
14
Calculate the greatest common factor of 2 and 121298.
2
Calculate the highest common factor of 18971 and 183.
61
Calculate the greatest common factor of 99 and 18870.
3
What is the greatest common divisor of 2440 and 12520?
40
What is the greatest common factor of 262855 and 15?
5
Calculate the highest common divisor of 26355 and 105.
105
Calculate the greatest common divisor of 856948 and 4.
4
Calculate the greatest common factor of 357 and 239883.
21
Calculate the greatest common divisor of 18704 and 4.
4
What is the greatest common factor of 139 and 349446?
139
What is the greatest common divisor of 60425 and 25?
25
Calculate the highest common divisor of 15363 and 201.
3
Calculate the highest common factor of 5691 and 2667.
21
Calculate the greatest common divisor of 3770 and 254098.
754
What is the greatest common divisor of 226070 and 260?
130
What is the greatest common divisor of 4 and 306960?
4
What is the highest common divisor of 21329 and 231?
77
What is the greatest common factor of 3762 and 23562?
198
What is the highest common divisor of 12 and 1346?
2
What is the highest common factor of 1078 and 13454?
14
Calculate the highest common divisor of 14880 and 3840.
480
Calculate the greatest common divisor of 728 and 162330.
14
Calculate the greatest common factor of 45 and 3987.
9
Calculate the highest common divisor of 7480 and 33.
11
Calculate the highest common factor of 2708 and 36.
4
What is the greatest common divisor of 10648596 and 238?
238
What is the greatest common divisor of 10200 and 7500?
300
Calculate the highest common divisor of 1147575 and 50.
25
Calculate the greatest common divisor of 621270 and 165.
15
What is the highest common factor of 81809 and 273?
91
What is the highest common divisor of 70 and 240954?
14
Calculate the highest common factor of 80 and 3837160.
40
What is the highest common factor of 2230 and 175055?
1115
Calculate the highest common divisor of 60381 and 81.
9
What is the highest common divisor of 75033 and 21?
21
Calculate the greatest common divisor of 5330 and 146.
2
What is the greatest common factor of 49 and 1486709?
49
What is the greatest common factor of 82 and 233782?
82
Calculate the highest common divisor of 201554 and 4504.
1126
Calculate the greatest common divisor of 1231519 and 381.
127
What is the highest common divisor of 378 and 27054?
54
Calculate the greatest common divisor of 168 and 86100.
84
Calculate the highest common divisor of 69 and 226297.
23
What is the highest common divisor of 17766 and 705?
141
What is the greatest common divisor of 1256 and 157?
157
Calculate the highest common divisor of 123696 and 3888.
144
Calculate the greatest common divisor of 13 and 1177579.
13
Calculate the highest common divisor of 946787 and 573.
191
Calculate the highest common divisor of 252 and 118881.
63
Calculate the greatest common divisor of 319033 and 5863.
143
What is the highest common factor of 240 and 280368?
48
What is the highest common factor of 116780 and 10?
10
Calculate the greatest common divisor of 1081 and 17766.
47
What is the greatest common divisor of 192 and 3954?
6
What is the highest common divisor of 38650 and 40?
10
Calculate the highest common factor of 256928 and 74.
74
Calculate the greatest common factor of 1176 and 613088.
392
What is the highest common factor of 26300 and 23407?
263
Calculate the greatest common factor of 1664 and 7306.
26
Calculate the greatest common divisor of 20 and 6470.
10
What is the highest common divisor of 10846 and 2006?
34
What is the highest common divisor of 5490 and 36?
18
Calculate the greatest common factor of 3240 and 15885.
45
What is the highest common factor of 16884 and 4788?
252
Calculate the greatest common divisor of 2823 and 236191.
941
Calculate the highest common divisor of 53 and 23.
1
Calculate the highest common factor of 27 and 413451.
27
What is the greatest common divisor of 14800 and 8992?
16
Calculate the highest common divisor of 850 and 21454.
34
Calculate the highest common divisor of 1592144 and 2114.
302
Calculate the greatest common factor of 2086 and 47306.
14
Calculate the greatest common divisor of 4874 and 239.
1
What is the greatest common divisor of 1010 and 245430?
1010
Calculate the greatest common divisor of 16 and 820232.
8
What is the greatest common divisor of 12 and 209892?
12
What is the greatest common factor of 2334925 and 4425?
1475
What is the highest common factor of 64 and 14368?
32
What is the highest common divisor of 13416 and 9417?
129
Calculate the greatest common divisor of 291 and 4253256.
291
Calculate the highest common factor of 3668 and 86984.
524
Calculate the greatest common divisor of 1465165 and 260.
65
Calculate the greatest common factor of 30426 and 75604.
922
What is the greatest common factor of 74300 and 600?
100
Calculate the highest common factor of 21111 and 155.
31
What is the greatest common factor of 6072 and 82632?
264
Calculate the greatest common divisor of 6370 and 23205.
455
Calculate the highest common divisor of 341 and 6677.
11
What is the greatest common factor of 90132 and 464?
116
What is the greatest common factor of 1986 and 12?
6
What is the greatest common factor of 5244 and 4332?
228
Calculate the highest common factor of 20 and 2162540.
20
What is the highest common divisor of 59556 and 22764?
84
What is the greatest common divisor of 747 and 137697?
249
Calculate the highest common divisor of 98165 and 580.
145
Calculate the greatest common factor of 1584723 and 138.
69
Calculate the highest common factor of 153663 and 17.
17
Calculate the greatest common divisor of 1206570 and 60.
30
Calculate the greatest common factor of 6 and 8172312.
6
What is the greatest common divisor of 256 and 1317?
1
What is the greatest common divisor of 1208 and 14?
2
What is the greatest common divisor of 3248 and 5012?
28
Calculate the greatest common factor of 51247 and 7.
7
Calculate the greatest common factor of 304386 and 7566.
582
Calculate the highest common factor of 26 and 167752.
2 | {
"pile_set_name": "DM Mathematics"
} |
ltiple of 36?
True
Suppose 7*p = 4*p - 21. Let n = p - -39. Is 5*5*n/20 a multiple of 14?
False
Let d = -35 + 71. Is 33 a factor of d?
False
Suppose 0 = -o + 4*r + 26, 39 = -5*o - 3*r + 146. Is 2 a factor of o?
True
Suppose 0 = 4*v + v. Suppose -3*i - 3*l - 1 + 31 = v, 0 = -l - 5. Let x = i + -8. Is x a multiple of 7?
True
Let y(z) be the first derivative of -z**4/4 - 13*z**3/3 - 15*z**2/2 + 8*z + 8. Is y(-12) a multiple of 22?
True
Suppose -n - 2*d = d - 19, 4*d = 20. Suppose 3*r + 121 = n*u + u, 4*u - 113 = -3*r. Does 14 divide u?
False
Suppose 0 = -3*b - 0*b - 24. Let s = b + 18. Is s a multiple of 4?
False
Let d(n) = -2*n - 1. Let g be d(-3). Suppose 4*v = -4*x + 48, -g*v + 2*x = -23 - 72. Does 12 divide v?
False
Let u be (-12)/8 + 9/2. Let q(z) = 2*z**3 - 3*z**2 - 4*z + 2. Does 5 divide q(u)?
False
Suppose -41 = -4*n + 55. Let y(g) = -g**3 - 4*g**2 + 3*g - 7. Let a be y(-5). Suppose -a*k = 0, 4*d - k - 2*k - n = 0. Is 6 a factor of d?
True
Suppose -5*m + 18 = -2*m. Let v = 13 + -11. Suppose w + j - m*j = 17, 0 = -w + v*j + 11. Is 3 a factor of w?
False
Is 1 + 104 + (-50)/10 a multiple of 10?
True
Let f = -39 - -55. Is f a multiple of 16?
True
Suppose -5*b = -0*b. Suppose 3*i + 11 + 4 = b. Let l(n) = -4*n + 7. Is 10 a factor of l(i)?
False
Suppose 2*s = -4, 3*p = -2*s + 3*s + 8. Let z = p + 5. Is 3 a factor of 1 + 0 + -5 + z?
True
Suppose f + 4*q = 44, -f - 3*q + 43 = -0*q. Suppose f = -7*n + 3*n. Let k(g) = g**2 + 8*g - 6. Is 7 a factor of k(n)?
True
Suppose -4*l + 2*d = 46, 2*d + 0*d + 8 = -2*l. Suppose -20 = -5*n - 5*c, 4*c - 16 = -5*n + 3*c. Is 7 a factor of (-84)/l*n/2?
True
Let i be 130/35 + 6/21. Suppose 9*t = i*t + 45. Does 3 divide t?
True
Suppose -2*n - 2 = -0*a - 2*a, -3*n + a + 5 = 0. Suppose n*w - 8 = -2*v, 25 - 7 = 5*w + v. Suppose z + 21 = w*z. Is z a multiple of 7?
True
Let n(b) = -b**3 + 14*b**2 - 12*b - 9. Is n(13) even?
True
Suppose 2*b = -b + 90. Suppose 6 + b = 4*x. Is x a multiple of 9?
True
Suppose -2*o - 76 = -j - 519, 5*o + 5*j = 1130. Is o a multiple of 73?
False
Let u be (-1335)/(-9) - 4/12. Suppose -3*h - h + u = 0. Does 15 divide h?
False
Suppose -4*o + g - 2*g = -503, 4*g + 488 = 4*o. Suppose -4*h + o = -3. Is 32 a factor of h?
True
Let t(w) = w**3 + 5*w**2 - w - 4. Let m be t(-5). Is (3 - m)/(8/12) even?
False
Does 34 divide ((-28)/(-12))/((-2)/(-108))?
False
Let d(q) = q**3 + 7*q**2 + 6*q + 5. Let g be d(-5). Let z be ((-64)/40)/(4/(-10)). Suppose z*a - g = 23. Is 7 a factor of a?
False
Let d = 13 - 9. Suppose 4*t - 19 = d*v - 79, -3*v + 50 = -4*t. Does 3 divide v?
False
Let n = 21 - 9. Suppose 2*c = c - 5*r - 22, 3*c = r + 14. Let k = c + n. Is k a multiple of 4?
False
Let x be -26*(-5)/4*-2. Let h = -21 - 16. Let q = h - x. Does 14 divide q?
True
Let g(f) = 14*f**2 + 3*f. Let m(r) = -13*r**2 - 2*r. Let y(z) = -3*g(z) - 4*m(z). Does 3 divide y(-1)?
False
Suppose 0 = -0*b - 5*b + 1510. Suppose -b = 4*x + 134. Let d = -61 - x. Is 16 a factor of d?
True
Let u = 1 - 0. Suppose -4*z + 2*i = -84, -z = 2*i + u - 17. Is 10 a factor of z?
True
Suppose 4*d + 97 = 4*n - 19, -2*n + 3*d = -61. Is (n/4)/((-8)/(-48)) a multiple of 13?
True
Let p(i) = 2*i**2 - i + 4. Let k be 2/6*(17 - 5). Does 21 divide p(k)?
False
Let v be 0 + 4 - -2 - 3. Suppose -2 = v*r - 4*r. Does 5 divide 2 + (15 - -2 - r)?
False
Let c(v) = 1. Let q(d) = d + 21. Let t(h) = -3*c(h) + q(h). Does 10 divide t(-8)?
True
Let b(u) = u**3 + 5*u**2 - 5. Let r be b(-5). Let k be 2/r - 776/(-40). Suppose 0 = -3*v + k + 11. Is v a multiple of 5?
True
Let y(u) = u**3 - 5*u**2 + 3*u + 8. Let s be y(6). Suppose -4*g = -3*j + s, 2*j - 7*g + 2*g - 46 = 0. Suppose -j = c - 2*c. Is 9 a factor of c?
True
Let j(b) = b**2 - b. Let c(i) = -14*i**2 + 4*i + 4. Let k(l) = -c(l) - j(l). Let m be k(3). Suppose 4*w + 0*w = m. Is w a multiple of 13?
True
Let c(o) = -1 - 51*o - o**2 + 59*o - 2. Suppose 2*h - b = -2 + 9, -4*b + 2 = -3*h. Is c(h) a multiple of 9?
True
Suppose 0 = -k - u - 4, -k + 2*k - 4*u - 16 = 0. Let o be (0 - -2) + (k - -2). Suppose -88 = -3*t - o*h, 0 = -2*t - 0*t + 2*h + 40. Is 11 a factor of t?
False
Suppose s + 0*s = p + 17, 37 = s - 5*p. Suppose 0 = -3*b - s + 96. Is 10 a factor of b?
False
Suppose 4*s - 90 = 198. Is 36 a factor of s?
True
Suppose 2*d = d - 5, -3*d - 151 = 4*n. Suppose -y = 1, 0*w - 4*w + 4*y = -256. Let c = n + w. Does 23 divide c?
False
Is -438*30/(-12)*2/10 a multiple of 49?
False
Let a(x) = -x - 1. Let n = 2 + -6. Does 3 divide a(n)?
True
Let q = -71 + 120. Suppose -4*z = -q - 39. Does 9 divide z?
False
Let v(m) = -6*m - 6. Let i(k) = k**3 + 4*k**2 - 2*k + 7. Let r be i(-5). Let y be v(r). Suppose 0 = -3*q + 30 + y. Is q a multiple of 19?
False
Let q(u) = -69*u - 1. Is 6 a factor of q(-1)?
False
Let f(o) be the first derivative of -o**4/4 + o**3/3 + o**2/2 + 76*o - 1. Is 26 a factor of f(0)?
False
Let t = -24 + 59. Does 7 divide t?
True
Is 5 a factor of -36*(-2 - 9/(-6))?
False
Let r(z) = 2*z**3 - 11*z**2 - 4*z - 15. Is r(8) a multiple of 39?
True
Suppose 5*l = -3*r + 212, -5*l + 3*r + 26 = -162. Does 3 divide l?
False
Suppose -j + 5*p = -3*j + 18, p + 6 = 2*j. Suppose 0*b = -b, 4*b + 32 = j*z. Is z a multiple of 3?
False
Is 9 a factor of (3 - 1)/(-8) - 2192/(-64)?
False
Let x be 0 + (1 - (-3 + 1)). Suppose 4*b + x*t - 179 = 0, 0 = -3*b - 3*t + 4*t + 131. Is 11 a factor of b?
True
Suppose -3*u = 5*h - u - 200, 185 = 5*h + 5*u. Does 7 divide h?
True
Let p(h) = -h**2 - 8*h + 10. Let y be p(-8). Suppose 2*f = -2*m + 5*m + 10, -y = -5*m. Does 4 divide f?
True
Let s be 4/20 + (-12)/10. Let k be -5 - -2 - (s + -2). Let o = 5 - k. Is o a multiple of 2?
False
Suppose 0 = -h + 1. Let r be (-2 - 36)*(-2)/4. Let k = h + r. Is k a multiple of 12?
False
Let h be 40/12*(-3)/(-2). Suppose 17 = -3*n + 2, -h*u = n - 80. Does 17 divide u?
True
Suppose -f = -6*f - 25. Let m(v) = -14*v + 10. Is 16 a factor of m(f)?
True
Suppose -3 + 18 = 3*h. Suppose -d - 23 = w + 4*w, -h*d = 2*w. Suppose d*g - 7*g + 25 = 0. Does 2 divide g?
False
Is (-5)/(-30) + 13015/30 a multiple of 14?
True
Suppose 2*y = -3*q + 299, 8*y + 3*q = 3*y + 761. Is 14 a factor of y?
True
Suppose 4*k = -0*k + 24. Let p = 2 - k. Is 4 a factor of (2/p)/((-2)/44)?
False
Suppose 16 = 4*g - 0. Is g even?
True
Let a(u) = 3*u**2 + 1 - 2*u**2 + 4*u + 0 - 2. Is a(-7) a multiple of 10?
True
Suppose -2*z = 18 + 2. Let c(l) = l**2 + 7*l + 12. Is c(z) a multiple of 21?
True
Suppose 0 = 4*a + 5*u - 35, a = -a - 4*u + 22. Is a a multiple of 5?
True
Let v(u) = -u**2 - 8*u - 5. Let b = -5 - 0. Let w be v(b). Suppose n - w = -n. Is n a multiple of 5?
True
Suppose -19 = -5*w - 9. Is (-40)/2*w/(-4) a multiple of 10?
True
Suppose -3*v + 4*v = 2*t - 95, 5*t + 5*v = 200. Is t a multiple of 15?
True
Let m(o) = o**2 - 5*o + 4. Let z be m(5). Suppose -z*i + 25 = i. Is i a multiple of 5?
True
Let i(b) = b**3 + 12*b**2 + 12*b + 20. Is i(-11) a multiple of 5?
False
Let b = -1 - -3. Suppose x - b*x = -10. Does 9 divide x?
False
Let v be (-692)/(-6) + 4/(-12). Suppose -4*f = f - v. Is f a multiple of 9?
False
Let f = 539 + -383. Does 12 divide f?
True
Suppose 4*x + o - 144 - 316 = 0, x + 4*o = 100. Suppose 3*d + 246 = 5*q, 5*q - x = 2*d + 128. Is 25 a factor of q?
False
Is 11 a factor of 7/(14/8)*44*1?
True
Let w(j) = -19*j + 6. Is 24 a factor of w(-6)?
True
Let m = -4 - -5. Suppose 4*g + m = 9. Suppose 41 = g*y - 1. Does 21 divide y?
True
Suppose -3*x = -42 + 9. Is x a multiple of 10?
False
Suppose -3*z - 4*d + 168 = 0, -z = 2*d - 16 - 38. Does 10 divide z?
True
Let w(m) = m**2 + 14*m - 4. Let t be w(-14). Does 26 divide 13/(t + (-13)/(-3))?
False
Let q = -69 - -45. Let v = 17 + q. Does 27 divide (-268)/(-10) + v/(-35)?
True
Suppose 0 = -3*o + 13 - 4. Let v be -2 + 1/(o/12). Is 14 a factor of v - (-5)/(15/78)?
True
Let f = -5 - -10. Suppose 33 = -f*j + 8*j. Is j a multiple of 6?
False
Let a = 4 - 2. Let n be a/(-4)*(-5 - -1). Suppose 2*i - n*k + 148 = 7*i, 96 = 4*i - 4*k. Does 14 divide i?
True
Let t = 69 + -32. Suppose t = h - 2*o - 8, -3*h + 138 = -5*o. Is 17 a factor of h?
True
Let i be 3/(-5) + 6/(-15). Let x be (i + -2 + 1)*-7. Suppose -2*d - x = -4*o, 2*d = 4*o - 2*o - 8. Does 3 divide o?
True
Let a = -185 - -318. Is 21 a factor of a?
False
Let f be (3 + (-3)/1)/(-2). Suppose f = -4*q + 5*q - 11. Is 11 a factor | {
"pile_set_name": "DM Mathematics"
} |
3942 + 3905. Which is the closest to 0? (a) k (b) -1 (c) -2/3 (d) r
d
Let i = 627.09 - 6.69. Let r = i - 620. Suppose 5*v - 4 = 4*v. What is the closest to -8 in r, v, 6/7?
r
Let h = -3/10 + 2/15. Suppose 3*d - 1139 = 2*m, 2*m = -2*d - 0*d + 756. Let i = 376 - d. Which is the nearest to 1/3? (a) i (b) h (c) 19
b
Let z = -19.7 - -17.35. Let c = 2.38 + z. Suppose s - 4*g + 2 = 4, -2*s = 4*g + 8. What is the nearest to 1 in c, s, -5?
c
Let m = 2.6 + -6.6. Let a = 0.08336 - -0.91664. What is the closest to a in m, -2/5, -1.6?
-2/5
Let z = 6165 + -43157/7. What is the closest to z in -20.5, -0.2, 1?
-0.2
Let i = 8 + -3. Let y = 0.279403 + 0.020597. What is the closest to 0.1 in 20, i, -0.4, y?
y
Let v = -4/3531 + -391/1177. Which is the nearest to 1? (a) v (b) -45/11 (c) 3 (d) -4
a
Let h = -15321 - -15324. Let w = 27 - 19. Which is the closest to 1/4? (a) w (b) h (c) 2
c
Let x be ((-208)/(-12))/((-465)/(-9)). Let n = x - -2/31. Let d be -1*((-24)/252 - (-19)/(-21)). What is the nearest to n in 0.3, -2/3, d?
0.3
Let s be ((-40)/(-5) - -2) + (-72)/7. Which is the closest to s? (a) -5 (b) -0.4 (c) 9/8 (d) 5
b
Let s = -1665.6 + 1666. Which is the closest to 72? (a) -0.4 (b) 4 (c) s
b
Let g = -510.2 + 510. Let b = -3 + 1. Let k = -1 - b. What is the closest to k in g, 1, -3?
1
Suppose -4*j + 2*q = 14, -1941 = 3*j - 4*q - 1913. Let r = -4 + 6. Which is the nearest to 45? (a) r (b) j (c) -1
a
Let y = 32748.3 - 32748. Which is the closest to -4? (a) y (b) -1.2 (c) -2/19 (d) -11
b
Suppose 3*z - 7 = -3*q + 2, -q - 3*z - 1 = 0. Let l = -379/1893 + -84/631. What is the nearest to l in 1, q, 0?
0
Suppose -b - 8 = 2*y, 5*b - 3*y = -y - 16. Let o = -54020 - -54020.2. What is the nearest to -52 in 3, o, b?
b
Suppose 9*u - 8*u + 9 = 0. Let i = -276 - -1105/4. Which is the nearest to -1/4? (a) -2 (b) 5 (c) i (d) u
c
Let g = -165.6 - 399.9. Let l = g - -566. Which is the nearest to 1? (a) 0 (b) 1 (c) l (d) 2/19
b
Let z = -5737 + 5738. Which is the closest to -2? (a) 158 (b) 0.5 (c) z
b
Suppose 1215*c = 1201*c + 14. What is the closest to -0.16 in -3, -2, 3, c?
c
Let x = -0.91826 - -0.41826. What is the closest to -0.1 in 51, x, 4, 1?
x
Suppose 10 = t - 34*p + 31*p, 0 = -5*t + p - 6. Let g = -0.2 + 0.4. What is the nearest to g in t, 2, 4?
2
Let u = -11 - -34/3. Let k = 25 - 34. Which is the nearest to u? (a) -0.2 (b) 2 (c) k
a
Suppose -674*f = -658*f. Which is the nearest to f? (a) 2/19 (b) -17 (c) 10
a
Let z = -0.2 + 0.6. Let q = -43939 + 43939.3. What is the closest to -0.5 in 1/4, z, q?
1/4
Let l = -4.7781 - -0.7781. Which is the closest to -2? (a) l (b) 0.5 (c) 1 (d) 3/38
a
Let v = -92.81 - -92.81. Let l = -7.6 - -7.4. Which is the nearest to -6/29? (a) l (b) 0.1 (c) v
a
Let u = -64.5 + 62.764. Let g = -0.264 + u. Which is the nearest to 2/5? (a) -3 (b) 19 (c) g (d) 0.1
d
Let q = 40445/8 + -5056. Which is the closest to -50? (a) -0.3 (b) 2 (c) -1 (d) q
c
Let o be (-50)/(-66) + 6*(-5)/45. Let g = 0.002 + -55.002. Let r = -54.8 - g. What is the closest to 0.1 in -5, r, o?
o
Let f = -279.0569 + 0.0569. Let t = -278 - f. What is the nearest to t in 0.5, 14, -2?
0.5
Let y = 2208 + -2202. Which is the nearest to -1? (a) 0.1 (b) 3 (c) y
a
Let s = -2092 + 6212/3. Let h = s - -21. Let m = -2.7 - -0.7. Which is the nearest to h? (a) m (b) -5 (c) 2/7
c
Suppose t - 8 = 2*z, 3*t - 20 = -10*z + 12*z. What is the closest to z in 0.3, -5, -196, 1?
0.3
Let o be (5 - 7)*(-2)/(-44). Let n = -207 + 381. Let q = n - 175. What is the nearest to q in o, 0.02, 3/2?
o
Let l = -33 + 31. Let a be 481/364 - (-3)/(-42). What is the nearest to -0.1 in a, -4, l?
a
Let f = 54.5 - 56.91. Let t = f + 1.91. Which is the closest to -2? (a) t (b) -10 (c) 2/9
a
Let q be -10 - ((-2)/(-6) + 962/(-78)). Let u = -7 + 6.7. Let r = u + 0. Which is the closest to q? (a) 0.2 (b) -3 (c) r
a
Let d = -2/253 - 496/1265. Let u = -281 + 281. Which is the nearest to d? (a) 5 (b) u (c) 10
b
Let j = 7.42 + -75.25. Let s = -0.83 - j. Let y = -73 + s. What is the closest to y in -5, 0.5, 0?
-5
Let p = 815.57 - 811. Let k = p - -1.43. What is the closest to -1 in 1/3, k, 2/3?
1/3
Let n = 0.27895 - 0.87895. Which is the closest to -1.1? (a) 2/9 (b) -5 (c) n (d) 3
c
Let f(d) = -d + 6. Let l be f(6). Suppose 0 = -5*j + 6 - 1. Let m = -3606 + 3605.98. Which is the nearest to l? (a) m (b) j (c) 0
c
Let t = -2.12443 + 0.12443. Which is the nearest to 7? (a) 119 (b) -1 (c) t
b
Suppose 3*o = -o + 12. Let y be 9/(-3) - -5 - 7/o. Let g = 0.1 + 2.9. Which is the closest to y? (a) 5 (b) -2/5 (c) g
b
Let x = -0.32928 - -0.02928. Which is the closest to -15/7? (a) 2 (b) 2/7 (c) x (d) -0.4
d
Let d = -0.006 + 0.12. Let r = 49.886 + d. Let t = -36 - -177/5. Which is the nearest to -1/2? (a) r (b) t (c) 2/5
b
Let y(q) = -q**3 + 4*q**2 + 5*q - 6. Let l be y(6). Let r = l + 51. Suppose r*m - 4 = 2*m. Which is the nearest to 0? (a) m (b) -0.5 (c) 1/4
c
Suppose -5*x - 1966 = -626. Let t = -270 - x. Which is the nearest to 0.2? (a) t (b) 1 (c) 1/13
c
Let x be 10/(-25) + (-22)/(-5). Let w = 493 + -504. Let z be 1 + w/(-26)*-2. What is the closest to -1/3 in x, 0.6, z?
z
Suppose -2*d = 3*d - 3*n + 27, 0 = 2*d - 3*n + 18. Let p be (d/72)/(15/135). Let g = -2/37 + -29/148. Which is the nearest to 0.6? (a) g (b) 0.5 (c) p
b
Let n = -110 - -113. Let l be (-324)/63 + (n - -2). What is the nearest to -10 in l, 5, -4?
-4
Let y = 14929 - 14929. What is the nearest to -2/7 in y, -595, 0.1, -1?
y
Let i be (-11)/12 + (-90)/(-72). Which is the closest to 1/3? (a) -1 (b) -4 (c) 3 (d) i
d
Let y = 1070.8 + -1071. Which is the closest to -1/2? (a) 22/79 (b) y (c) 0 (d) 1/7
b
Let r = -19152 - -19154. Let w = 43 - 28. Let h = -3.7 + 4. Which is the closest to r? (a) w (b) h (c) 0.5
c
Let w = -42.11 + 42.7. What is the nearest to -2/3 in -2/7, 4, -0.5, w?
-0.5
Let z = 3.9 + 169.1. Let s = z - 173.1. What is the nearest to -3 in -5/2, s, 0.1?
-5/2
Suppose 93 = 6*z - 63. Let y = -22 + z. Suppose 0 = f + y*x - 11, 4 = -f + 3*x - 2*x. Which is the nearest to f? (a) 10 (b) -1 (c) -0.5
b
Let o = 102.06 - 102. Let f be (-22)/(-33) - (-2)/(-6). What is the closest to o in 1, 2/3, f?
f
Let v = 40064 + -39869. What is the closest to 1 in -1/5, 7/3, v?
-1/5
Let r = -3.035 + 2.735. Let h = 13 + -12.6. Which is the nearest to 1/4? (a) -3 (b) r (c) h
c
Let c = 1341 - 1345. What is the closest to 1/3 in 26, 4, c, 0?
0
Let n = 29463 + -29462.5. Which is the nearest to 2/9? (a) 35 (b) -9 (c) -3 (d) n
d
Let w = -231.773 - -232. Let o = -0.063 - w. What is the closest to -1/4 in o, -0.5, 3/5?
o
Let u = -472 + 5186/11. Suppose -2*r + 28 = 64. Let g be (-4)/9*r/(-12). What is the closest to 2/7 in 0, u, g?
0
Let l = 0.11 - 4.11. Let g = 1.6078 + -1.7078. Which is the nearest to g? (a) -3 (b) -2 (c) l
b
Let j(d) = 77*d**3 - 609*d**2 - 56*d - 2. Let z be j(8). Suppose 3*u - 20 = -2*t - 0, 33 = 5*u + 3*t. Which is the nearest to z? (a) 3 (b) u (c) -0.1
c
Let u = 1159 - 1171. What is the closest to -0.02 in -2, u, -0.4, 1/2?
-0.4
Let p = -0.6157 - -0.574. Let k = p + -0.2583. Let x = -57 + 229/4. What is the nearest to 0.1 in x, -5, k?
x
Let z be (-195)/375*5 - -2. Which is the closest to 6? (a) z (b) -2 (c) 5/11 (d) 2
d
Let u(o) = -o**2 - o - 4. Let t be u(-1). Which is the nearest to 0? (a) -7 (b) t (c) 3 (d) 0.1
d
Let w(f) = -f**3 + 2*f**2 + 5*f - 2. Let p be w(3). Suppose -p*b - 3 = -7*b, 2*k - 3*b = -3. What is the closest to -1/4 in 0.01, k, -3/2?
k
Suppose -54 + 42 = -3*w. Suppose 4*j + 2 = -3*m - 11, -m - 4*j = 7. Let x be 8/m + (-4 - w)/(-8). Which is the closest to 0? (a) 1 (b) 0 (c) x
b
Let l = -7112.5 - 372.5. Let o = 7491.006 + l. Let z = o + -0.006. What is the nearest to -0.1 in -3, z, 0.3?
0.3
Let g = 178.5 + -178.4. Which is the nearest to -0.4? (a) g (b) 0.09 (c) 3/10 (d) -0.4
d
Let g = -7.356 + 7.756. Which is the nearest to -1/2? (a) 0.11 (b) g (c) 14 (d) -3
a
Let r be (-19439)/2777*(-2)/(-119). Let f = -3/11 - -57/88. Which is the closest to f? (a) r (b) -2 (c) 1/8
c
Let s = -295 + 295.501. Let j = -0.101 + s. Which is the closest to 0.05? (a) j (b) -5 (c) 3
a
Let i be 1/(-7) - (15 - 41/((-15785)/(-5676))). S | {
"pile_set_name": "DM Mathematics"
} |
ut replacement from eeeeeeyeeeeeyeyeee. What is prob of picking 1 e and 2 y?
15/272
What is prob of picking 1 z and 1 o when two letters picked without replacement from {z: 2, m: 1, d: 5, q: 8, o: 1}?
1/68
Three letters picked without replacement from {o: 4, p: 8, d: 4, k: 4}. Give prob of picking 3 k.
1/285
Three letters picked without replacement from {b: 2, l: 2}. What is prob of picking 2 l and 1 b?
1/2
Calculate prob of picking 1 w and 1 m when two letters picked without replacement from wwmmmmwmwwmwmw.
7/13
Calculate prob of picking 1 g, 1 i, and 1 t when three letters picked without replacement from iggiitigiggigggggg.
11/136
Calculate prob of picking 1 e and 2 y when three letters picked without replacement from {y: 2, e: 3}.
3/10
Three letters picked without replacement from {t: 1, l: 1, m: 1, d: 1, f: 1}. Give prob of picking 1 t, 1 f, and 1 m.
1/10
Four letters picked without replacement from xxzzxzzzzzz. Give prob of picking 2 x and 2 z.
14/55
What is prob of picking 2 p and 2 f when four letters picked without replacement from ppllflpfl?
1/42
Calculate prob of picking 1 s, 1 o, and 2 u when four letters picked without replacement from ouuuuuooousuouuuo.
27/238
Two letters picked without replacement from jzzjzaz. Give prob of picking 1 z and 1 a.
4/21
What is prob of picking 1 p and 1 n when two letters picked without replacement from khonnohfp?
1/18
Calculate prob of picking 1 x and 1 w when two letters picked without replacement from {x: 3, b: 1, w: 3}.
3/7
What is prob of picking 2 i and 1 x when three letters picked without replacement from icciiccx?
3/56
Two letters picked without replacement from {v: 1, r: 5, m: 1, n: 5, h: 4}. Give prob of picking 1 r and 1 h.
1/6
Four letters picked without replacement from {v: 1, i: 2, c: 1, o: 1}. What is prob of picking 2 i, 1 v, and 1 o?
1/5
Three letters picked without replacement from gppfpgppl. Give prob of picking 1 l and 2 p.
5/42
Two letters picked without replacement from {f: 5, s: 1, t: 1, z: 2}. Give prob of picking 2 z.
1/36
Two letters picked without replacement from ttzdydvvl. What is prob of picking 1 l and 1 t?
1/18
Three letters picked without replacement from {d: 2, s: 1, e: 5, j: 2, t: 2, v: 1}. What is prob of picking 1 t, 1 j, and 1 s?
2/143
Calculate prob of picking 1 w, 1 c, 1 k, and 1 s when four letters picked without replacement from {k: 2, s: 1, c: 1, p: 2, w: 1}.
2/35
Two letters picked without replacement from llllcllllllll. Give prob of picking 1 l and 1 c.
2/13
Three letters picked without replacement from okwkokookowowooowooo. Give prob of picking 3 w.
1/285
Four letters picked without replacement from {q: 1, n: 19}. Give prob of picking 4 n.
4/5
Calculate prob of picking 3 l when three letters picked without replacement from {v: 1, l: 4, c: 5, y: 8}.
1/204
Two letters picked without replacement from {z: 1, h: 7}. What is prob of picking 2 h?
3/4
What is prob of picking 1 x and 3 q when four letters picked without replacement from {q: 5, x: 3}?
3/7
Two letters picked without replacement from {q: 3, y: 7}. What is prob of picking 1 y and 1 q?
7/15
What is prob of picking 1 n and 1 f when two letters picked without replacement from {w: 4, f: 5, n: 7}?
7/24
Two letters picked without replacement from {b: 4, k: 4, s: 3}. Give prob of picking 1 k and 1 b.
16/55
Calculate prob of picking 2 u and 1 d when three letters picked without replacement from duduuu.
3/5
Two letters picked without replacement from {z: 3, u: 3, q: 1, e: 3}. Give prob of picking 2 e.
1/15
Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {p: 3, i: 2, k: 3, w: 1, b: 1, y: 1}.
3/55
Three letters picked without replacement from {k: 1, u: 1, x: 3}. What is prob of picking 1 k and 2 x?
3/10
Three letters picked without replacement from sssop. Give prob of picking 1 p, 1 s, and 1 o.
3/10
Two letters picked without replacement from {i: 1, k: 1, c: 1}. What is prob of picking 1 c and 1 k?
1/3
What is prob of picking 3 f and 1 y when four letters picked without replacement from yyfyff?
1/5
Three letters picked without replacement from wfpsp. Give prob of picking 1 p, 1 w, and 1 f.
1/5
Four letters picked without replacement from {g: 7, x: 1, m: 5, i: 3}. Give prob of picking 1 x, 2 i, and 1 g.
3/260
Two letters picked without replacement from {w: 1, e: 1, t: 1}. What is prob of picking 1 e and 1 w?
1/3
Calculate prob of picking 2 l when two letters picked without replacement from llpl.
1/2
Two letters picked without replacement from hohohsohohpono. Give prob of picking 1 p and 1 o.
6/91
Calculate prob of picking 3 t and 1 m when four letters picked without replacement from ttaaattaaammtamtta.
7/204
Calculate prob of picking 1 r, 1 z, and 1 i when three letters picked without replacement from {r: 1, i: 2, w: 2, z: 8}.
8/143
Two letters picked without replacement from {e: 8, j: 5}. Give prob of picking 2 j.
5/39
Two letters picked without replacement from {f: 2, j: 2, u: 2, g: 2, n: 4}. What is prob of picking 1 f and 1 u?
2/33
Three letters picked without replacement from kkkkkwkkkwkwkkkwkkk. What is prob of picking 2 k and 1 w?
140/323
Three letters picked without replacement from {u: 2, o: 3, m: 7}. Give prob of picking 1 u and 2 o.
3/110
Calculate prob of picking 1 k, 1 u, and 1 r when three letters picked without replacement from kvcpprpuvurppvvvppku.
1/95
Two letters picked without replacement from {c: 1, t: 12, d: 7}. Give prob of picking 1 c and 1 d.
7/190
Calculate prob of picking 1 i and 2 y when three letters picked without replacement from {n: 3, q: 1, y: 3, i: 4}.
4/55
What is prob of picking 2 c and 2 f when four letters picked without replacement from fffffcfcffff?
1/11
Three letters picked without replacement from ppeppppppeppp. Give prob of picking 3 p.
15/26
Two letters picked without replacement from {q: 8, y: 2}. What is prob of picking 2 q?
28/45
Three letters picked without replacement from {u: 1, q: 1, b: 2, h: 3, w: 1, j: 3}. Give prob of picking 2 h and 1 q.
1/55
What is prob of picking 1 q and 1 j when two letters picked without replacement from {j: 1, g: 2, q: 1}?
1/6
Three letters picked without replacement from {c: 7, q: 2, l: 2}. Give prob of picking 1 q and 2 c.
14/55
What is prob of picking 1 p, 1 t, and 1 y when three letters picked without replacement from uytpptttt?
5/42
Four letters picked without replacement from {r: 1, n: 1, e: 2, i: 1, o: 2}. What is prob of picking 2 e, 1 o, and 1 n?
2/35
Four letters picked without replacement from {v: 2, m: 2, e: 4, i: 1, l: 2, k: 1}. Give prob of picking 2 l and 2 e.
2/165
What is prob of picking 1 g and 1 j when two letters picked without replacement from grngjgccgrrnjcg?
2/21
Three letters picked without replacement from {b: 13, o: 5}. Give prob of picking 2 b and 1 o.
65/136
What is prob of picking 3 s when three letters picked without replacement from dssssssdss?
7/15
Two letters picked without replacement from ppkkkkpk. What is prob of picking 2 k?
5/14
Two letters picked without replacement from {c: 4, f: 3, l: 2}. Give prob of picking 2 l.
1/36
Two letters picked without replacement from {v: 1, s: 2, g: 1, e: 8, d: 6}. What is prob of picking 1 v and 1 g?
1/153
What is prob of picking 3 v and 1 b when four letters picked without replacement from vbvvsvqvvbvbbs?
20/143
Calculate prob of picking 1 w and 1 e when two letters picked without replacement from bweeebebeebew.
7/39
Four letters picked without replacement from {o: 4, y: 6, b: 1, u: 1, c: 3}. Give prob of picking 2 u and 2 b.
0
Three letters picked without replacement from iffufif. What is prob of picking 3 f?
4/35
Four letters picked without replacement from puixukxupuuuuxuukuu. What is prob of picking 2 u and 2 p?
55/3876
What is prob of picking 3 b and 1 g when four letters picked without replacement from ggbbbgberoe?
2/55
Four letters picked without replacement from {x: 10, k: 4}. What is prob of picking 4 x?
30/143
Calculate prob of picking 1 f, 2 x, and 1 i when four letters picked without replacement from ififxfiiffixfiif.
7/260
Calculate prob of picking 1 z and 1 k when two letters picked without replacement from {z: 4, k: 3}.
4/7
What is prob of picking 1 a and 2 o when three letters picked without replacement fro | {
"pile_set_name": "DM Mathematics"
} |
- 16. Give -5*b(t) + 7*z(t).
460*t**2 + 2*t + 3
Let y(x) = 1. Let f be 18717/357 - (-8)/14. Suppose -b + f = 51. Let a(i) = -i**3 + 11*i - 2. Give b*y(c) + a(c).
-c**3 + 11*c
Let v(z) = -17*z**2 - 29*z - 544. Let i(d) = 19*d**2 + 32*d + 542. Determine -10*i(p) - 11*v(p).
-3*p**2 - p + 564
Let y be (-3 + 0 + 4)/(((-6)/3)/6). Let i(p) = -5*p**2 + 2*p - 5. Let n(k) = -4*k**2 + k - 5. Calculate y*n(r) + 2*i(r).
2*r**2 + r + 5
Let k(l) = -55*l**3 - 7*l**2 + 5*l - 7. Let r(q) = 28*q**3 + 3*q**2 - 2*q + 3. Suppose -2*p + 7*y = -8, -2*p - 139 + 129 = 2*y. Give p*k(v) - 7*r(v).
-31*v**3 - v
Let l be (-10 - -10) + 9/27. Let g(s) be the first derivative of -5 - l*s**3 + s - 1/2*s**2. Let t(y) = -4*y**2 - 3*y. What is 3*g(r) - t(r)?
r**2 + 3
Let j(n) = -42. Let m(c) = -59. Let o(w) = -7*j(w) + 5*m(w). Let r(x) = -x + 2. Calculate 4*o(f) + 3*r(f).
-3*f + 2
Let u(f) = 3*f - 7. Let s(a) = -733*a - 730*a + 1467*a - 10. Calculate -5*s(v) + 7*u(v).
v + 1
Let t(g) = -g**3 - 3*g**2 + 2*g. Let n(v) = 208*v**3 + 1014*v**2 - 676*v. Calculate -3*n(l) - 1014*t(l).
390*l**3
Let h(o) = 2*o**2 + 6*o - 3. Let p(d) = -d**2 - 7*d + 2. Determine 14*h(i) + 15*p(i).
13*i**2 - 21*i - 12
Let n(z) = z**2 + 3*z. Let s(q) = -3*q**2 - 55*q + 2. Calculate 4*n(d) + s(d).
d**2 - 43*d + 2
Suppose 4*x + j = 18, -x + 3*j - 41 = -52. Let m(d) = -4*d - 12. Let h(a) = a + 1. Let p(c) = 5*h(c) + m(c). Let v(o) = o - 10. Give x*v(i) - 7*p(i).
-2*i - 1
Let p(c) = 4*c**2 + 4*c + 5. Suppose -6*a = -2*a + 5*y - 35, -y - 1 = 0. Let r(l) = -l**2 - l - 1. Determine a*r(f) + 2*p(f).
-2*f**2 - 2*f
Let v(t) = -8. Suppose 4*p = 7*p - 204. Suppose -p = d - 24. Let f(h) = 1. Let g(x) = d*f(x) - 6*v(x). Let o(b) = -b + 3. What is 3*g(u) - 4*o(u)?
4*u
Let a = -14204 - -14205. Let n(d) = d - 1. Let q(l) = -55*l**2 - 3*l + 3. Determine a*q(y) + 3*n(y).
-55*y**2
Let k(l) = 3*l**2 + 171*l + 8. Let d(n) = 8*n**2 + 344*n + 20. Determine -2*d(g) + 5*k(g).
-g**2 + 167*g
Let t(y) be the second derivative of 20 + 2*y + 1/2*y**2 + 2/3*y**3. Let i(h) = -h - 1. Let k be 1/((-1*2)/2). Calculate k*t(n) - 3*i(n).
-n + 2
Let s(m) = -189*m**2 + 4. Let n(o) = 62920*o**2 - 1331. Give -4*n(c) - 1331*s(c).
-121*c**2
Let k(y) = 218*y + 135. Let j(i) = -194*i - 134. What is -9*j(s) - 8*k(s)?
2*s + 126
Let p(d) = 59*d - 8. Let f(l) = 39*l - 5. Suppose 2 = -2*q - 2*g, -2*q - 79 = 5*g - 89. Give q*p(j) + 8*f(j).
17*j
Let c(l) = l**2 + l. Suppose 1 - 17 = -2*v. Suppose 0 = v*h - 4*h - 4. Let a(u) = -1 + 24*u - 87*u - 4*u**2 + 22*u + 39*u. Give h*a(f) + 5*c(f).
f**2 + 3*f - 1
Let k(z) = -3*z + 3. Let x = -24413 - -24409. Let d(f) = 3*f - 3. Give x*d(h) - 5*k(h).
3*h - 3
Let f(u) = 15*u**3 - 2*u. Suppose -2*o = -152*h + 153*h - 8, 2 = o. Let l(d) = 46*d**3 - 7*d. Determine h*l(x) - 14*f(x).
-26*x**3
Let c(k) = k**3 + 6*k**2 + 1. Let l(p) = -3*p**3 - 12*p**2 - 2*p + 120. What is -2*c(n) - l(n)?
n**3 + 2*n - 122
Let o(q) = q**2 - 4*q - 4. Let x(t) = 4*t**2 + 17*t + 31. Calculate -5*o(c) - x(c).
-9*c**2 + 3*c - 11
Let r(g) = 3*g - 5. Let x(i) = -1. Let w(a) = -5. Let o(q) = w(q) - 4*x(q). Suppose 42 - 12 = 5*c. Suppose 0 = 10*j - 4*j - c. Give j*r(k) - 5*o(k).
3*k
Let s(h) = -h**3 - h**2 + h - 1. Let p(g) = 2*g**3 + 3*g**2 - 11*g + 3. Let d = -3164 + 3162. Calculate d*p(q) - 6*s(q).
2*q**3 + 16*q
Let a(q) = -6*q**2 - 110*q - 5. Let v(z) = -14*z**2 - 219*z - 13. Give 5*a(d) - 2*v(d).
-2*d**2 - 112*d + 1
Let h(u) = 398*u + 1 - 397*u - 1. Let y(g) = 2*g**2 - g. Calculate h(q) + y(q).
2*q**2
Let s(h) = 4*h**2 + 15*h - 5. Let g(o) = 2*o**3 + 128*o**2 + 585*o - 294. Let y be g(-59). Let d(l) = -l**2 - l + 1. Give y*s(w) + 6*d(w).
-2*w**2 + 9*w + 1
Let c(t) = -5462 - 5468 - 22*t + 16388 - 5463. Let w(d) = -221*d - 51. What is -51*c(l) + 5*w(l)?
17*l
Let a(h) = -11783*h**2 + 4*h - 8. Let i(f) = 97197966*f**2 - 32998*f + 65996. Give 16499*a(d) + 2*i(d).
-11785*d**2
Let b(u) = 2*u + 113. Let l(i) = -14. Let n(t) = -b(t) - 8*l(t). Let q(r) = -5*r - 3. Let y be 1*10 - (-1 + 3). Determine y*n(d) - 3*q(d).
-d + 1
Let i(n) = -4*n + 4. Suppose -936 = -252*a + 356*a. Let w(q) = 17*q - 17. Give a*i(d) - 2*w(d).
2*d - 2
Let d(v) = -73*v**3 + 8*v**2 - 18*v - 3. Let u(b) = -55*b**3 + 5*b**2 - 14*b - 2. Give -7*d(t) + 9*u(t).
16*t**3 - 11*t**2 + 3
Let f(w) = -11410*w**3 + 9*w**2 + 78*w. Let d(x) = -5705*x**3 + 4*x**2 + 36*x. Give -13*d(o) + 6*f(o).
5705*o**3 + 2*o**2
Let f(i) = 10*i**3 + 30*i**2 - 22*i + 3. Let s(d) = -9*d**3 - 28*d**2 + 18*d - 2. Calculate 2*f(r) + 3*s(r).
-7*r**3 - 24*r**2 + 10*r
Let p(v) be the second derivative of -v**3/3 + v**2 - 7*v - 9. Let k(q) = q - 3. Give 4*k(g) + 6*p(g).
-8*g
Let i(t) = -139*t + 24. Let y(q) = -142*q + 21. Determine -5*i(f) + 6*y(f).
-157*f + 6
Let c(d) = d**2 + 207*d - 3. Let f(w) = 3*w**2 + 618*w - 10. Determine 10*c(o) - 3*f(o).
o**2 + 216*o
Let a(t) = -9301*t**2 + 497*t - 497. Let c(w) = -75*w**2 + 4*w - 4. Let z(s) = s**3 - 26*s**2 + 181*s - 160. Let d be z(13). What is d*a(y) + 497*c(y)?
-71*y**2
Let h(o) = o**3 + 10*o**2 - 90*o - 45. Let g(s) = 3*s**2 - 27*s - 14. Let i(l) = 10*g(l) - 3*h(l). Let v(b) = -3*b**3 - 6. What is -3*i(n) + 2*v(n)?
3*n**3 + 3
Let d(h) be the third derivative of -h**5/30 + 11*h**4/24 - h**3/6 + 2460*h**2. Let s(o) = -o**3 + o**2 - o - 1. Give -d(u) - 2*s(u).
2*u**3 - 9*u + 3
Let v(t) = t**3 - t**2 - 1. Let n = -26 - -30. Let o(c) = -3*c**2 - 4*c**2 + 6*c**2 + c**3 - 3*c**3 - 3*c**2 - 4. Give n*v(d) - o(d).
6*d**3
Let m(v) = 13*v**2 + 29*v + 15. Let o(g) = 7*g**2 + 15*g + 6. What is 3*m(x) - 5*o(x)?
4*x**2 + 12*x + 15
Let m(r) = 5*r. Let b(i) be the third derivative of i**4/24 - 3*i**2. Let d = 32 + -33. Let h(z) = z**2 - 33*z - 32. Let q be h(34). Determine d*m(k) + q*b(k).
-3*k
Let f(r) = -9*r - 2. Let s(n) be the first derivative of -63*n**2/2 - 15*n + 949. What is -15*f(u) + 2*s(u)?
9*u
Let n(l) be the second derivative of -5*l**4/6 + l**3 + 1285*l. Let f(j) = -j**2 + j. Determine 6*f(r) - n(r).
4*r**2
Let r(v) = -2*v**3 + v - 1. Let f(n) = -7*n**3 + 45*n**2 + 4*n + 64. Determine f(h) - 4*r(h).
h**3 + 45*h**2 + 68
Let n(x) = -2*x + 7*x - 2 - 2*x. Suppose -19 = 18*o - v, v - 11 + 5 = 5*o. Let q(p) = -p + 1. Determine o*n(u) - 2*q(u).
-u
Let b(q) = 20293*q - 2. Let a(o) = 617515993*o - 60861. Determine 2*a(h) - 60861*b(h).
-20287*h
Let m be (19/(-76) + (-7)/4)*-4. Let i(c) = m*c - 11*c + 9*c - 9*c + 2. Let w(o) = o + 1. Let s be (1 - 4/2) + 2. What is s*i(j) + w(j)?
-2*j + 3
Let v(k) = -22*k + 1489. Let o(c) = -60*c + 4464. Give 4*o(b) - 11*v(b).
2*b + 1477
Let k(a) = 5*a**3 - 3*a**2 + 3*a - 19. Let l(s) = -14*s**3 + 8*s**2 - 8*s + 58. Let t be 9360/1548 + (-8)/172 - 2*-1. What is t*k(j) + 3*l(j)?
-2*j**3 + 22
Let p(r) = -885*r**3 - 135*r**2 + 135*r. Let k(x) be the third derivative of -13*x**6/60 - x**5/15 + x**4/6 - 1922*x**2. Give 135*k(m) - 4*p(m).
30*m**3
Let i = -5037 + 5034. Let t(d) = -31*d**3 + 3*d**2 - 3*d + 3. Let s(a) = -187*a**3 + 17*a**2 - 17*a + 17. What is i*s(x) + 17*t(x)?
34*x**3
Suppose 156*c - 184 = 202*c. Let h(k) = 26*k - 5. Let l(g) = -25*g + 4. Give c*l(q) - 3*h(q).
22*q - 1
Let c(o) = 25*o**3 + 5*o - 5. Let q(n) = -46*n - 260. Let j be q(-6). Let g(h) = -76*h**3 - 16*h + 16. Determine j*c(p) + 5*g(p).
20*p**3
Let c(i) = -2*i**3 - 143*i**2 + 22*i - 14. Let v(f) = f**3 + 95*f**2 - 14*f + 9. Calculate 5*c(b) + 8*v(b).
-2*b**3 + 45*b**2 - 2*b + 2
Let v(i) = 11*i**2 - 4*i + 1. Let g(t) = -37*t**2 + 10*t + 2. Calculate -g(w) - 3*v(w).
4*w**2 + 2*w - 5
Let s(n) = -14*n**3 - 16*n**2 - 5*n - 4. Let t(m) = 17*m**3 + 15*m**2 + 7*m + 5. Determine 6*s(h) + 5*t(h).
h**3 - 21*h**2 + 5*h + 1
Let h(l) = 39303*l + 794. Let a(s) = -397*s - 8. Calculate 794*a(z) + 8*h(z).
-794*z
Let i(a) = 3213*a - 5*a**3 - 3210*a + 4*a**2 - 103 + 106. Let b(y) = 3*y**3 - 2*y**2 - 2*y - 1. Calculate 7*b(f) + 4*i(f).
f**3 + 2*f**2 - 2*f + 5
Let m be (-4)/(4/3)*60/(-45). Let a(w) = -6*w**3 + 11*w**2 - 4*w - 6. Suppose 0 = 5*h + 28 + 27. Let l(q) = -2*q**3 + 4*q**2 - q - 2. Calculate h*l(c) + m*a(c).
-2*c**3 - 5*c - 2
Let a be 650/38 + (-16 - 906/(-57)). Let j(p) = -43*p + 4. Let s(g) = 128*g - 11. Give a*j(q) + 6*s(q).
37*q + 2
Suppose 6*m - 4*m = -w + 23, 0 = w - 2*m - 35. Let h(t) = -2 + 1 + 30*t - w*t. Let z(r) = -r**2 + 2*r - 2. Determine -5*h(d) + 2*z(d).
-2*d**2 - d + 1
Let o(w) = 208*w | {
"pile_set_name": "DM Mathematics"
} |
. Let r be d(a). Suppose -h + 2*h = 3*u + 1042, 4*u - r = -3*h. Is h composite?
True
Suppose 0 = p - 88*c + 92*c + 37288, -c = 4*p + 149212. Let d = p + 53031. Is d a prime number?
True
Suppose v - 35 = 5*j, -v - 3*v = 5*j - 65. Is 2/v - (-1291815)/350 prime?
True
Let z(r) = -815*r - 1619. Is z(-116) a composite number?
False
Suppose -2*n = 0, 3 = m + 11*n - 6*n. Suppose m*t - 12 = 0, r = 3*r + 2*t - 24. Suppose 12109 = r*b - 9259. Is b prime?
True
Let d(l) be the third derivative of 0*l + 17/60*l**5 + 2/3*l**3 + 0 - 1/12*l**4 + 39*l**2. Is d(5) prime?
True
Is (-1 - 5)/(35/((-4973045)/(-568326)) + -4) prime?
False
Let c(y) = -5*y**2 + 86*y - 22. Let o(u) = 6*u**2 - 87*u + 24. Let n(f) = 5*c(f) + 4*o(f). Is n(35) composite?
True
Suppose 206743 = 3*i + 4*t, 1946*i - 275624 = 1942*i + 3*t. Is i a composite number?
False
Let h(a) = -10406*a + 125. Is h(-11) a prime number?
False
Suppose -1293 = -3*w + n, 5*n - 1287 = -3*w + 4*n. Suppose v = 6*h - 2*h + 86, 5*v - w = 4*h. Is v prime?
False
Suppose -36*s + 4 = -34*s, 0 = 3*q - 5*s - 784163. Is q composite?
True
Suppose 3*u = 2*w + 18, u + w - 4*w - 13 = 0. Let i be 16/(-56) - 23/(-7). Suppose 4*k - 292 = -v, i*k - 319 = u*v - 81. Is k a prime number?
False
Let x be ((-30)/(-4))/(48/32). Suppose -18*r + x*r = -61165. Is r a composite number?
True
Suppose -5*m + 41 = -2*u, -3*m - 2*u - 2*u + 9 = 0. Suppose -2*g - 4*h = -m*h - 13, h - 3 = 0. Let j = g + 10. Is j composite?
True
Let j = 105 + -104. Let p be (0 - (6 - j))/(7/(-5131)). Suppose -12*b - p = -17*b. Is b prime?
True
Suppose -102 = -9*m - 264. Is (-3803 + 1)/(-20 - m) composite?
False
Suppose -183004 = -5*c + 148*w - 149*w, -2*w - 109805 = -3*c. Is c a composite number?
True
Let n = 47 - 43. Suppose -3*z + z - 3*f = -3001, 4*z + 4*f - 6004 = 0. Suppose 0 = 2*j + n*d - z, -2*d + 450 = -3*j + 2711. Is j a composite number?
True
Suppose -2*p = -12*p - 100. Let u = -8 - p. Is ((-15)/9)/(u/(-1266)) a prime number?
False
Let w = -251 + 251. Suppose -4*z + 4*o + 10336 = w, 8*z - 6*z - 3*o - 5173 = 0. Is z a prime number?
True
Let z(i) = -i**3 - 6*i**2 - 6*i - 8. Let n be z(-7). Suppose -2*c - 109 - n = 4*h, h + 51 = c. Is ((-38)/4)/(h/(-14) + -4) prime?
True
Let q = 2082 - 1377. Let h = -65 - -64. Is q/12 + h/(-4) a composite number?
False
Suppose 5*l - 2*f - 27941 = 0, 4*f - 5575 = -3*l + 2*l. Let y = l - -5470. Is y a prime number?
True
Suppose 26*t + 1653284 = 3896746. Is t a prime number?
True
Is -3*5/12*-98836 composite?
True
Suppose 12*f = 244114 + 208010. Suppose -95*v = -76*v - f. Is v composite?
True
Let z be 32/40 + (64/(-10))/(-2). Let f(c) = -c**3 + 4*c**2 + 3*c + 3. Let v be f(-8). Suppose v + 425 = z*q. Is q composite?
False
Suppose -3 = -y, -2*c + 2*y - 32339 + 197895 = 0. Is c a composite number?
False
Let w = -5635 + 6767. Let v be 1680 - -2 - -1*1. Let o = v - w. Is o a prime number?
False
Let f(b) = -b**3 + 35*b**2 + 54*b + 11. Let t(p) = p + 49. Let l be t(-14). Is f(l) prime?
True
Suppose 5619060 + 18041321 = 135*u - 6846514. Is u prime?
True
Let k be -5826*(-3)/(11 - 5)*-1. Let u = 5086 + k. Is u prime?
False
Let x = 1143174 - 260716. Is x a composite number?
True
Suppose -3*k - 2083 = w, -2*w + k - 4190 = -k. Let c = -782 - w. Let v = c - 821. Is v a prime number?
False
Let y(q) be the second derivative of 407*q**5/20 + q**4/12 + q**3/6 - q**2/2 + 3*q + 8. Is y(2) composite?
True
Let l(p) = 30*p**2 + 78*p + 13. Let v be l(12). Let m = v + -2748. Is m a prime number?
True
Suppose 44*s = 11*s - 517 - 275. Let k(c) = -8*c + 1. Let y be k(-3). Let x = y - s. Is x prime?
False
Suppose -2*x - 13*f = -17*f - 305998, 458997 = 3*x + 2*f. Suppose -29*d + x = -22*d. Is d composite?
True
Let t be ((-4)/6*1)/(106/(-2703)). Suppose -3*w = i - 15, -2*i + 17 = 4*w - t. Suppose 2*l - i = 953. Is l a composite number?
False
Let v = 40 + -38. Suppose 10 = v*y + 3*y. Suppose -4*q = -2*q - h - 414, y*q - 4*h - 426 = 0. Is q a composite number?
True
Let k(u) = u**3 + 7*u**2 + 9*u. Let g be k(-5). Suppose -4*q + 44 = 2*y + y, y + g*q - 33 = 0. Let f(i) = 3*i**2 - 12*i + 1. Is f(y) a composite number?
False
Is (194/14)/(199/59899) a composite number?
True
Let x be ((-6)/7)/(119/(-49) - -2). Suppose -3*g = -x*m - 25249, -3*m + 13593 + 3218 = 2*g. Is g a composite number?
True
Let r(u) = -150*u**2 + 12. Let p be r(-5). Is (-4 + 7 + -4)*(p - -1) a prime number?
False
Is (28/12 + -3)/((-2)/3600183) a composite number?
False
Suppose 12*s + 416757 = 15*s - 644664. Is s a composite number?
False
Let h be 183/(0 - 12/(-8)). Suppose 2*u - f + 48 = 472, 3*u - 647 = -4*f. Let o = h + u. Is o a prime number?
False
Let m be 18/4*24/8*-894. Let n = m - -20968. Is n a prime number?
False
Suppose 9*k - 27 = -0*k. Is (k - 5) + (-4971)/(-1) composite?
False
Let d(n) = 188*n + 59. Let x = -17 - -23. Is d(x) a composite number?
False
Let p be (-4)/(-6) + 2104*91/156. Suppose -3021 = -5*b + 934. Suppose -b = -3*c + p. Is c a prime number?
True
Suppose -n = -5*o - 43, 0 = -0*n - 4*n - 5*o + 72. Suppose 58076 + 1011 = n*f. Is f a composite number?
True
Let g be 32/(-176) - ((-93)/(-33) + 0). Is g*(3 - (-6 - (-57684)/18)) prime?
True
Let b be (-3 - 48/(-15))*0. Suppose b = -16*a + a + 167655. Is a a prime number?
True
Let h(a) = -3470*a - 287. Is h(-8) a composite number?
True
Suppose -4*v + 10 = -38. Suppose 3*u + u = -v. Let r(t) = -14*t + 7. Is r(u) a prime number?
False
Let u(l) = l**2 + 3*l + 5. Let a be u(-2). Suppose n - 12 = -4*g, -a*n = 4*g + 2*n - 12. Suppose -g*j + 715 + 956 = 0. Is j a composite number?
False
Let t(d) be the third derivative of 19*d**6/120 - 13*d**4/24 + 17*d**3/6 + 47*d**2. Is t(7) a prime number?
False
Suppose 4*g + 0*i = i - 854, 2*i + 422 = -2*g. Let w be 2/8 - g/(-4). Let b = -34 - w. Is b composite?
False
Let l = 58 + -53. Suppose -l - 5 = -5*m, -3*m + 6426 = -2*a. Let r = a - -5389. Is r a prime number?
True
Let v(y) = 2*y**2 + 14*y - 161. Is v(-27) a composite number?
False
Let z = 310 - 304. Is -2 + z + (5 - 111488)/(-9) a prime number?
True
Is (-2306803)/(-186) + 7 + ((-1)/6 - 0) composite?
False
Let t = -282124 - -453301. Is t prime?
False
Let y = 27 + -21. Let g(o) = 6 + 5 - y - o + 2*o**2 - o**2. Is g(-5) prime?
False
Let v = -654 - -683. Suppose v*s - 53790 = -s. Is s a prime number?
False
Let w be (33 + -30)*(1 - (1 + -1)). Suppose -w*o - 6231 = -4*h - 2*o, -o = -2*h + 3117. Let b = -1078 + h. Is b a composite number?
False
Is (113 + -110)/((-9)/(-128433)) a prime number?
False
Suppose 56*p - 61*p + 327477 = 3*k, 3*k + 3*p = 327471. Is k composite?
True
Let q = 6348 + 78483. Is q a prime number?
False
Let u = 71426 + -12607. Is u a prime number?
False
Is (3433056/(-1408))/(6/(-184)) prime?
False
Let a(x) = x**2 - x - 1. Let h be a(-2). Suppose g = 6*g + 2*u - 66, h*g - u = 57. Is (452/6)/(8/g) a composite number?
False
Let b(l) = 158*l - 12. Let o be b(-3). Let i = o + 1400. Suppose -i = -13*g - 43. Is g a composite number?
False
Suppose -5*c + 5*u = -99657 - 139263, -3*c + 143359 = -4*u. Is c prime?
True
Let t = 473364 + -249317. Is t composite?
False
Suppose 41 - 13 = 7*l. Suppose -2*s + 2*q = -9668, q + q = l*s - 19326. Is s a prime number?
False
Let l(x) = 330*x**2 + 3*x - 6. Let j be l(2). Is 0 + 5 + -6 + j composite?
False
Let u = 24543 + 55478. Is u composite?
False
Suppose -167463 = -2*j - 2*j - 5*q, 0 = j + q - 41866. Is j a composite number?
True
Let q = -790 + 1334. Suppose -z - q = 3*z. Let x = 165 - z. Is x prime?
False
Let f(z) = -74*z**2 + 4*z - 5. Let g be f(5). Let v be ((-1105047)/796)/(3/(-8)). Let k = g + v. Is k composite?
False
Suppose 1590622 = 4*f + 2*q, 2*f + 1331*q = 1335*q + 795306. Is f prime?
False
Let w(j) = -4*j + 17. Let v be w(-5). Let y = v + -12. Is 894/(-5)*y/30*-3 a prime number?
False
Let d = 19 - 16. Let b(f) = 128*f**2 + 0 - 3*f + 5 - d + 0. Is b(1) composite?
False
Suppose 0 = -22*o - 312*o + 192129460 + 107280498. Is o a composite number?
True
Let m(k) = k**3 - 3*k**2 - 7*k + 11. Let o be m(4). Is (o - -2) + 1518 + (-5 - -9) a composite number?
False
Let v be (21065/(-44))/((-4)/(-110 - 2)). Let y = v - -20438. Is y prime?
False
Let t = 320440 - -42751. Is t a composite number?
True
Let w = 89134 + -43773. Is w a composite number?
False
Is ((-12)/(-20))/(162/298183410) composite?
True
| {
"pile_set_name": "DM Mathematics"
} |
Calculate the least common multiple of 80 and 680.
1360
What is the lowest common multiple of 192852 and 449988?
1349964
Calculate the common denominator of 48/19 and -40/5187.
5187
Calculate the smallest common multiple of 869 and 151.
131219
Calculate the smallest common multiple of 228 and 648.
12312
What is the least common multiple of 188 and 1608?
75576
What is the smallest common multiple of 60228 and 34?
1023876
What is the common denominator of 59/49 and -59/676144?
4733008
Calculate the smallest common multiple of 4190 and 7.
29330
Calculate the smallest common multiple of 35 and 9121.
45605
What is the common denominator of -109/6960 and 101/35496?
354960
What is the lowest common multiple of 12 and 21942?
43884
Calculate the smallest common multiple of 120780 and 40260.
120780
What is the lowest common multiple of 507312 and 394576?
3551184
Find the common denominator of 61/8992 and 13/47208.
188832
What is the lowest common multiple of 35 and 10840?
75880
What is the smallest common multiple of 11826 and 414?
271998
Find the common denominator of -46/194157 and 61/1215.
970785
What is the lowest common multiple of 3948 and 15228?
106596
Calculate the common denominator of -109/2772 and -127/18.
2772
Calculate the smallest common multiple of 27824 and 139120.
139120
What is the common denominator of -13/20 and -85/4282?
42820
What is the lowest common multiple of 6327 and 10545?
31635
Find the common denominator of 20/36201 and 145/289608.
289608
What is the common denominator of -145/1026 and 49/135?
5130
Calculate the least common multiple of 19188 and 6.
19188
Calculate the lowest common multiple of 121347 and 81.
1092123
Calculate the common denominator of -41 and 2/159023.
159023
Calculate the common denominator of -7/2405 and -31/12987.
64935
What is the common denominator of -101/64 and 77/2?
64
Find the common denominator of 19/630 and -151/8330.
74970
What is the lowest common multiple of 30620 and 27558?
275580
Find the common denominator of 19/15 and -41/101186.
1517790
Calculate the common denominator of 67/60669 and -97/53928.
485352
Find the common denominator of 45/234088 and -29/80720.
2340880
Find the common denominator of 37/187430 and 17/40.
749720
Calculate the common denominator of -41/2818 and 47/1272.
1792248
Find the common denominator of 167/42 and -7/34038.
238266
What is the smallest common multiple of 14160 and 240?
14160
Calculate the smallest common multiple of 9583 and 15540.
574980
What is the smallest common multiple of 33 and 236277?
2599047
Calculate the smallest common multiple of 1216494 and 39127.
13381434
What is the lowest common multiple of 125454 and 143376?
1003632
What is the smallest common multiple of 560 and 19390?
155120
Calculate the smallest common multiple of 105 and 6865.
144165
Find the common denominator of 73/100880 and 43/364.
706160
What is the least common multiple of 6610 and 215486?
1077430
Calculate the common denominator of -3/3337 and 26/141.
10011
Calculate the least common multiple of 6 and 22408.
67224
What is the smallest common multiple of 17289 and 72?
138312
Calculate the lowest common multiple of 63116 and 8653.
1072972
Find the common denominator of 7/160 and 101/16760.
67040
What is the lowest common multiple of 17449 and 244286?
244286
What is the lowest common multiple of 503987 and 45817?
503987
What is the common denominator of -17/6584 and 11/34?
111928
Calculate the common denominator of -99/11368 and 13/27608.
193256
What is the common denominator of -145/3348 and 107/228?
63612
What is the smallest common multiple of 359 and 50619?
50619
Calculate the smallest common multiple of 6 and 211425.
422850
Calculate the smallest common multiple of 2073 and 27.
18657
What is the least common multiple of 39645 and 495?
436095
What is the common denominator of -5/208 and -103/976?
12688
Calculate the common denominator of -25/9512 and -47/290.
47560
Calculate the least common multiple of 50 and 7910.
39550
What is the smallest common multiple of 660 and 271986?
2719860
Calculate the least common multiple of 504873 and 138.
1009746
Find the common denominator of 97/232 and -107/320.
9280
Calculate the least common multiple of 582835 and 55.
582835
What is the common denominator of -1/8289 and -4/189?
58023
What is the common denominator of 79/1098 and 53/216?
13176
Calculate the common denominator of 6/21125 and -92/585.
190125
Find the common denominator of 19/14 and 19/13956.
97692
What is the least common multiple of 31152 and 1239?
218064
What is the smallest common multiple of 54 and 2244?
20196
Find the common denominator of 173/1890 and 19/119.
32130
Calculate the least common multiple of 2095 and 97627.
488135
What is the common denominator of 17/11049 and -25/381?
11049
Calculate the smallest common multiple of 27 and 6091884.
18275652
What is the common denominator of 65/162 and 103/15768?
47304
What is the lowest common multiple of 9675 and 63425?
570825
Calculate the smallest common multiple of 1340 and 372.
124620
Calculate the lowest common multiple of 78890 and 1400.
1577800
Find the common denominator of 37/5265 and -101/126.
73710
Calculate the common denominator of 17/55183 and -89/794.
110366
Calculate the least common multiple of 351824 and 287856.
3166416
Calculate the common denominator of 151/150 and 119/402.
10050
What is the lowest common multiple of 23010 and 7670?
23010
What is the lowest common multiple of 33810 and 3920?
270480
What is the common denominator of 43/3147112 and -111/257960?
15735560
What is the common denominator of -25/352 and 149/20592?
41184
Calculate the smallest common multiple of 30888 and 792.
30888
Calculate the common denominator of 25/394 and 7/4428.
872316
What is the least common multiple of 17625 and 24675?
123375
What is the common denominator of -83/12309 and 70/867?
3557301
What is the smallest common multiple of 102 and 9792?
9792
Find the common denominator of 29/20076 and 97/6692.
20076
Calculate the smallest common multiple of 11856 and 840.
414960
What is the common denominator of -131/139314 and 139/278628?
278628
Calculate the lowest common multiple of 3542 and 1058.
81466
Calculate the smallest common multiple of 6464 and 3232.
6464
Calculate the common denominator of -86/10275 and 28/45.
30825
Calculate the smallest common multiple of 630 and 55.
6930
Calculate the least common multiple of 10 and 21896.
109480
Calculate the common denominator of 139/862770 and 17/60.
1725540
Calculate the least common multiple of 292 and 2176.
158848
Calculate the lowest common multiple of 197638 and 35.
988190
What is the least common multiple of 108 and 1980?
5940
Calculate the lowest common multiple of 550 and 3498.
87450
Calculate the common denominator of -151/6594 and 74/9.
19782
Calculate the common denominator of -101/1792 and 81/70336.
281344
What is the least common multiple of 46124 and 416?
368992
Calculate the smallest common multiple of 1045 and 1520.
16720
Calculate the smallest common multiple of 149908 and 6.
449724
Calculate the least common multiple of 8 and 75458.
301832
Calculate the lowest common multiple of 1296 and 67392.
67392
What is the common denominator of -89/84 and -151/32058?
448812
What is the lowest common multiple of 36300 and 36?
108900
Find the common denominator of -115/392256 and 55/96.
392256
Calculate the lowest common multiple of 2 and 90815.
181630
Find the common denominator of -31/24 and -115/164688.
164688
Calculate the smallest common multiple of 12606 and 6876.
75636
Find the common denominator of -71/165 and -23/5553.
305415
What is the common denominator of 25/6 and -187/176790?
176790
Calculate the smallest common multiple of 45 and 5715.
5715
What is the common denominator of 11/17176 and -10/19323?
154584
What is the smallest common multiple of 32 and 992?
992
Find the common denominator of -54/16345 and -47/10.
32690
Find the common denominator of -31/31395 and 25/56.
251160
What is the least common multiple of 75740 and 245?
530180
What is the common denominator of -18/17 and 37/388?
6596
Calculate the common denominator of 155/20664 and -1/984.
20664
What is the least common multiple of 5100 and 80?
20400
Find the common denominator of -39/98 and 91/1 | {
"pile_set_name": "DM Mathematics"
} |
Simplify 1 + ((sqrt(5) - sqrt(80))*5 - sqrt(270)/sqrt(6) - (sqrt(20) + sqrt(80)*3)/sqrt(4)) + 4.
-25*sqrt(5) + 5
Simplify ((-1*sqrt(24))/sqrt(6) - (-2*sqrt(100) + sqrt(100) - sqrt(100)))/(6*(sqrt(242) + (-1*sqrt(242) + sqrt(242) + sqrt(242) - sqrt(242)))).
3*sqrt(2)/22
Simplify sqrt(20)/(sqrt(10)*1*-1 - sqrt(10)) + 4 - (-2*(0 + sqrt(72))*-5)**2.
-7196 - sqrt(2)/2
Simplify ((-3*(sqrt(114) + sqrt(114)*2) - sqrt(114) - sqrt(114))*3)/(sqrt(36)/(sqrt(6) - -2*sqrt(726)))*-2.
1518*sqrt(19)
Simplify ((sqrt(50) + sqrt(100)/(sqrt(8)/sqrt(4)) + sqrt(200)/(sqrt(4) - (sqrt(4) - sqrt(16))))**2 + 5)*-1.
-635/2
Simplify ((sqrt(68) - (sqrt(68) - (1*(sqrt(68) - sqrt(68)*-1) + sqrt(68)))) + sqrt(68)*-1*2)/(sqrt(256)*-1*-1).
sqrt(17)/8
Simplify (sqrt(216)*5 - sqrt(24))/(sqrt(48)/(sqrt(48)/sqrt(8))).
14*sqrt(3)
Simplify (sqrt(405) - (sqrt(405) - (sqrt(405) - -1*sqrt(405))))**2 + (5 + sqrt(30)/sqrt(6))**2 + 0 + -1*1*sqrt(320).
2*sqrt(5) + 1650
Simplify (1*(1 + sqrt(245)) + -4 + 5)**2.
28*sqrt(5) + 249
Simplify (5 + sqrt(392))**2 + 2 + -1*sqrt(72).
134*sqrt(2) + 419
Simplify (-2*-3*(2*sqrt(162) - (sqrt(2) - (-4 + (sqrt(2) - sqrt(20)/sqrt(10))))))**2.
-4896*sqrt(2) + 21384
Simplify -5 + (-3 + sqrt(1900) + 0 + sqrt(1900) - (((sqrt(228)*-1 - sqrt(228)) + sqrt(228))*2)/sqrt(12)) + -1.
-9 + 22*sqrt(19)
Simplify (5*-6*(-5 + (sqrt(2448) - (sqrt(2448) - (sqrt(2448) + -1))) - 1*1*sqrt(2448))*-3)**2.
291600
Simplify (sqrt(56)*3)/(sqrt(2)*1*-2) + 5 + 3*(sqrt(7) + (3*(sqrt(7) + 1) - sqrt(7))).
14 + 6*sqrt(7)
Simplify (5*sqrt(196)/sqrt(4))/(sqrt(28)*-1) - (-5 + sqrt(7) + (sqrt(175) - (sqrt(175) + sqrt(175)*-2 + sqrt(175))) + 5)**2.
-252 - 5*sqrt(7)/2
Simplify (sqrt(20)/sqrt(160) + sqrt(2) + 3 + sqrt(6)/sqrt(3) + (-5*-3*sqrt(2)*3)**2)*-5.
-20265 - 45*sqrt(2)/4
Simplify (4*1*sqrt(486))/(1*sqrt(21)/(sqrt(21)/sqrt(3))).
36*sqrt(2)
Simplify (-3 + sqrt(320)*1 + (sqrt(270) + -2*sqrt(270))/sqrt(6))*-6.
-30*sqrt(5) + 18
Simplify 1 + sqrt(75) + 3 - (((sqrt(75) + 3)*1 + sqrt(75))**2 + sqrt(75)).
-305 - 60*sqrt(3)
Simplify (-4*((2 + -1 + sqrt(147))*-3 + -4))**2.
4704*sqrt(3) + 21952
Simplify 6*(1 + 1*(-4*(sqrt(242)*-3)**2 + -3)).
-52284
Simplify (-3*(-3 + sqrt(39)/sqrt(3)))**2 + (sqrt(39)/(sqrt(18)/sqrt(6)) + -1)**2.
-56*sqrt(13) + 212
Simplify (3*sqrt(576)*2)/(sqrt(128) + 2*sqrt(128)*1) + -3.
-3 + 3*sqrt(2)
Simplify (3*sqrt(1088)*-1)**2 + sqrt(136)/(sqrt(8) + sqrt(56)/sqrt(28)).
2*sqrt(17)/3 + 9792
Simplify (2*sqrt(4840)*-4)/((sqrt(784)*1)/sqrt(2)).
-88*sqrt(5)/7
Simplify (sqrt(385)/(5*sqrt(11)*-1))/((sqrt(20)/sqrt(4) + sqrt(5))*6 + (sqrt(50)/sqrt(2))/sqrt(5)).
-sqrt(7)/65
Simplify 3*(5 + (sqrt(3) - (sqrt(27) + 4)**2)) + -2.
-69*sqrt(3) - 116
Simplify (-6*sqrt(162)*1)/(sqrt(48)/(sqrt(32)/sqrt(4))).
-18*sqrt(3)
Simplify (sqrt(95) + sqrt(95)*-1*-5)/(1*sqrt(605)) + 2.
2 + 6*sqrt(19)/11
Simplify (1*(sqrt(204) + 1*sqrt(204)*3))/(2*sqrt(48)/(3*sqrt(4))).
6*sqrt(17)
Simplify ((-2*sqrt(96))/sqrt(2) - (-3 + sqrt(72)/sqrt(6)))*5.
-50*sqrt(3) + 15
Simplify (sqrt(77) + sqrt(77) + 4*((sqrt(77)*-2 - sqrt(77)) + sqrt(77)) - 2*sqrt(77)*4)/(4*(sqrt(847) - sqrt(847)*2) + sqrt(847) - sqrt(847)).
7*sqrt(11)/22
Simplify (1*sqrt(2160) + sqrt(15))/sqrt(5) - (((1*sqrt(300) - sqrt(300))*6)**2 + sqrt(300)).
3*sqrt(3)
Simplify ((-3 + sqrt(72) + sqrt(2) - (sqrt(8) + -3)) + 3)**2.
30*sqrt(2) + 59
Simplify (-5 + 4 + sqrt(130)/(sqrt(10) + -4*sqrt(10)*1))**2 + 2.
2*sqrt(13)/3 + 40/9
Simplify 3 + sqrt(19) + -2 - (sqrt(76) - (sqrt(76) + (3*sqrt(76) + sqrt(76) - sqrt(76)) + sqrt(76))**2) - (sqrt(114)/sqrt(96) + sqrt(513)/sqrt(3)).
-17*sqrt(19)/4 + 1901
Simplify (3*(sqrt(204) + 6*sqrt(204) + sqrt(204))/sqrt(12) + -5)*1.
-5 + 24*sqrt(17)
Simplify (4*(sqrt(1900) - (sqrt(1900) + 2 + sqrt(1900))))**2 + (0 + sqrt(2299) + sqrt(2299)*1)**2.
640*sqrt(19) + 39660
Simplify (-5*(0 + (3*sqrt(847) + 4 - -3*(sqrt(847) + -2))))**2.
-6600*sqrt(7) + 762400
Simplify (sqrt(144) - (sqrt(144) - (sqrt(144)*4 - sqrt(144))))/(sqrt(200)*-2).
-9*sqrt(2)/10
Simplify ((-4 + (sqrt(720) - (sqrt(720) - sqrt(720)*-1)))*-4 - (0 + sqrt(720))*-2*-3)**2.
-768*sqrt(5) + 3136
Simplify (3*(sqrt(3328) - -3*3*sqrt(3328)))**2 + -3.
2995197
Simplify sqrt(32)/(sqrt(12)/sqrt(147) - sqrt(4)) + 0.
-7*sqrt(2)/3
Simplify (-1*((sqrt(24) - sqrt(24)*-2)*5 - sqrt(24))/(sqrt(96)/(sqrt(48)/sqrt(4))))**2.
588
Simplify (sqrt(405)*2*-6 + (sqrt(405) + 1*sqrt(405))*1)**2 + 1 + (sqrt(405) + -4*(1 + sqrt(405)) - sqrt(405))**2.
288*sqrt(5) + 46997
Simplify -1*(sqrt(112) - (sqrt(112) + -1)**2*-6)*3.
-2034 + 132*sqrt(7)
Simplify -3*(-6*sqrt(297)*1)/(sqrt(11) - -6*sqrt(11)*2) + 4.
4 + 54*sqrt(3)/13
Simplify (sqrt(117) + sqrt(117)*2*-5)/((sqrt(90) + (sqrt(90)*4 - sqrt(90)))/sqrt(10)).
-9*sqrt(13)/4
Simplify ((-4*sqrt(180))/sqrt(4)*4)/((sqrt(99) + sqrt(99) + -2*-2*sqrt(99))/sqrt(11)).
-8*sqrt(5)/3
Simplify (-5*(-1*sqrt(13) + 3 + sqrt(13)) - (sqrt(832) + 1 - sqrt(13) - ((sqrt(13) + 1)*-1 - sqrt(13))))**2 + -3.
306*sqrt(13) + 1339
Simplify ((sqrt(130) - (sqrt(130) + 2*sqrt(130)*-1)) + 5*(sqrt(130) - sqrt(130)*1))/(-1*2*sqrt(1440)).
-sqrt(13)/12
Simplify -6*(0 + (-3*sqrt(52)*-1 - -5*sqrt(2548))).
-456*sqrt(13)
Simplify sqrt(5) - (sqrt(5) - (sqrt(60)/sqrt(4))/sqrt(3)) - sqrt(10)/(sqrt(8)/sqrt(4)) - 4*(-3 + sqrt(5) + -1 + 0).
-4*sqrt(5) + 16
Simplify (sqrt(144)/sqrt(3) + sqrt(12))/(sqrt(4) - 3*5*sqrt(4)).
-3*sqrt(3)/14
Simplify ((sqrt(11) - sqrt(110)/sqrt(40))**2 - (sqrt(11)*2 + 5)) + 5 + sqrt(704).
11/4 + 6*sqrt(11)
Simplify ((-3 + (sqrt(125) + -1*sqrt(125)*1 - (0 + sqrt(125) - sqrt(125))*4))*4)**2*1.
144
Simplify 1*sqrt(567) + 2 + (sqrt(567) - (sqrt(567) + -2 + sqrt(567))*1).
4
Simplify (sqrt(726) + (sqrt(726) + 2*sqrt(726))*-5)/(4*sqrt(12)/(sqrt(24)/sqrt(4))).
-77*sqrt(3)/2
Simplify (-4 + sqrt(176) + 1 + sqrt(176) + sqrt(176) + (1 + sqrt(176) - sqrt(176))*-6)**2*3.
-648*sqrt(11) + 4995
Simplify 5 + (-1 + (-6*sqrt(25)*-1)/(sqrt(15)/sqrt(3)*-6)*-2)**2.
-4*sqrt(5) + 26
Simplify ((5*(sqrt(125) + -3*sqrt(125)))**2 - sqrt(125)*2*5)*4.
-200*sqrt(5) + 50000
Simplify -5*(sqrt(832) + -2 + -2 + (sqrt(13)*2)**2 + -1 + sqrt(13) + (sqrt(208) + sqrt(13) - sqrt(13)) + -3).
-65*sqrt(13) - 220
Simplify 3*((sqrt(684) + -2*(sqrt(684) + sqrt(684)*-2))*-5 - (-3 + 1*sqrt(684) - (-5 + sqrt(684) + 1 + sqrt(684) + sqrt(684)))).
-234*sqrt(19) - 3
Simplify 0 + (6*sqrt(15)*3)/(sqrt(27)/(sqrt(9)*1)).
18*sqrt(5)
Simplify (sqrt(90)/(sqrt(9)*1)*6)/(-5*(-1*sqrt(22))/sqrt(11)).
6*sqrt(5)/5
Simplify sqrt(15)/sqrt(5)*2*-5 + 3*(sqrt(3) - (sqrt(3)*2 + -1)) + 0.
-13*sqrt(3) + 3
Simplify (-2*sqrt(560)*-4)/(sqrt(60)/(-6*sqrt(192) - sqrt(12))).
-800*sqrt(7)
Simplify (sqrt(208) + 1 + 4 + sqrt(208) + (4*1*sqrt(208))**2)*-6.
-19998 - 48*sqrt(13)
Simplify 2*sqrt(10)/sqrt(2) - (sqrt(45) - (0 + sqrt(45))) - (sqrt(180) - sqrt(5))**2*-6.
2*sqrt(5) + 750
Simplify -2 + ((sqrt(65) + sqrt(65)*1)*-6)/(sqrt(405)*-1).
-2 + 4*sqrt(13)/3
Simplify ((sqrt(612) + ((sqrt(612) + -6*sqrt(612)*2)**2 - sqrt(612)))*5 + 3*(sqrt(612) - sqrt(612)*-1 - sqrt(612))*5)*-3.
-1110780 - 270*sqrt(17)
Simplify (sqrt(17) + -1*sqrt(17)*2)**2 - (sqrt(119)/(sqrt(21)/sqrt(3)))**2 - ((sqrt(17)*-1 + 0 - sqrt(17)) + -5)**2.
-93 - 20*sqrt(17)
Simplify (sqrt(15) + sqrt(75)/(sqrt(5)*-1) + sqrt(15) + sqrt(90)/sqrt(24))/(sqrt(363) + (sqrt(363) - (sqrt(363)*2 - sqrt(363)))*4 + sqrt(363)).
3*sqrt(5)/44
Simplify ((sqrt(88)*4)/sqrt(2)*4)/((sqrt(144)/sqrt(4) + sqrt(36))*2 - sqrt(36)).
16*sqrt(11)/9
Simplify 2*sqrt(5)*-1 + 3*(sqrt(5) + 1) - ((1*sqrt(5))**2*-2 + (6*(sqrt(5) + 0 + sqrt(5)))**2).
-707 + sqrt(5)
Simplify -6*(-6*(sqrt(684) + -1) + sqrt(684) + (sqrt(19) + sqrt(19) + 1 + 1 - (-3*(sqrt(38)/sqrt(2) - sqrt(19)) - sqrt(19))))**2.
-83490 + 2592*sqrt(19)
Simplify (sqrt(52) - sqrt(520)/sqrt(640))/(5*sqrt(16)).
7*sqrt(13)/80
Simplify (3*(sqrt(1620) + sqrt(1620) + 1) + sqrt(1620) + 1)**2.
1008*sqrt(5) + 79396
Simplify (((sqrt(1053) - (-1 + sqrt(1053)))*6 + sqrt(1053))**2 + 2 + (4*4*(0 + sqrt(1053)))**2)*-3.
-811977 - 324*sqrt(13)
Simplify (-1 + (sqrt(300) - (-3*(sqrt(300) + 1) + sqrt(300))) + 0)**2.
120*sqrt(3) + 2704
Simplify (5 + (sqrt(330)/sqrt(96))/(sqrt(180)*-4))**2.
-5*sqrt(11)/48 + 230411/9216
Simplify ((sqrt(700) + 2)*6 - (-5*sqrt(7)*-1 - (sqrt(35)*1)/sqrt(5)))**2.
1344*sqrt(7) + 22096
Simplify -5*(sqrt(704) - (sqrt(704) + sqrt(704) + (-2*sqrt(704) + sqrt(704))*-6 + sqrt(704))) | {
"pile_set_name": "DM Mathematics"
} |
)*36/(-96)*(-4)/(-66).
1/22
What is the value of ((-1)/2)/((-27)/270)?
5
What is (2/20 - (-219)/(-365))*1*26?
-13
What is the value of 11 + (-1728)/75 + 12?
-1/25
1020/(-78) + 8 - 4/4*-5
-1/13
What is the value of ((-85)/(-20) + -4)/((-117)/(-234))?
1/2
What is the value of (-66)/(-10) - 624/390?
5
(-10)/70*-266 + -24
14
What is -14*4/(-16)*(-7 + (-1360)/(-196))?
-3/14
What is ((-9)/(-69))/((-69)/(-4761))?
9
Calculate 2 + -154*(-2)/(-38) - (-108)/18.
-2/19
283/1698 + (-34)/6
-11/2
12/(-80)*(-224)/588
2/35
What is 1610/(-210)*(-3)/(-5) + 3/5?
-4
What is (-36)/45 + 1598/85?
18
Calculate (2375/700 + -4)*-7.
17/4
What is the value of -58 + 54 - (10 - 4)?
-10
Calculate -21*(-37)/((-4403)/34).
-6
Calculate (-5)/(5 - 10) + 1.
2
Calculate 188/(-44) + 13/((-1573)/(-33)).
-4
Evaluate ((-168)/(-308) - (-49)/11) + -6*2.
-7
Evaluate 36/(-168)*(-9)/648*14.
1/24
Evaluate (-4 + (1 - -9))*469/1407.
2
Calculate (-5 - (-28)/6)*(2 + (-48)/15).
2/5
What is the value of -10 - (-10 + 444/75)/(4/10)?
1/5
What is the value of ((-8)/3)/((-8)/(-24))?
-8
What is the value of (-8)/(-13)*165/770*-7?
-12/13
What is the value of (-3)/(-5 - (32/80)/(8/(-52)))?
5/4
Evaluate 24/(-54)*(1/(-4) + 0)*-1.
-1/9
What is the value of (126/315)/((-2)/(-20)*22)?
2/11
Calculate (-14)/(-1120)*16*(1 + 114).
23
What is the value of (318/(-1378))/(4/13)?
-3/4
-1 - (1 + -3) - (-45)/(-30)
-1/2
1603/133 - 9/171
12
22 + -5 + 13 + -19
11
What is the value of (2/(-2))/(52/(-416))?
8
What is (2432/(-114) + 22)/(2/(18/3))?
2
(1 + (-5)/(-10))/(6/16)
4
What is (-1 - -2)*(-68 + 59)?
-9
270/(-225)*(-40)/(-44)*(-2)/(-4)
-6/11
What is (-2)/14*(-5446)/(-3501)?
-2/9
-3 - (333/(-111))/((-3)/2 + 2)
3
What is 3/8 - (-2)/(-6)*(-3885)/(-2960)?
-1/16
What is the value of (0 - 1)/(-11 + 5346/484)?
-22
What is ((-24)/1120)/((-190)/3800)?
3/7
Calculate (34/5 + -7)*-40.
8
Calculate 57*22/132*((-3)/1 + 1).
-19
What is the value of (42/(-2142))/(12/72)?
-2/17
Calculate (6/18)/(((-17)/6)/(1/2)).
-1/17
Evaluate (-12 - -24) + ((-326)/26 - -1).
6/13
What is the value of (-5)/(-425)*34 - 11/30?
1/30
(0 - (-3)/(-236))*31528/(-11823)
2/59
What is the value of -6*(56/6 + 16 + -26)?
4
Evaluate 3262/154 + -21 + ((-117)/(-264) - 1).
-3/8
What is (59/2)/((-30)/24) - 147/(-245)?
-23
What is (-8)/(-16) + 42/(-68) + (-1092)/(-5525)?
2/25
Evaluate (-84)/(-10)*((-18)/8 - 8/32).
-21
What is the value of 173 + -178 + 16 + -1?
10
(-2730)/(-78) + -4 + -7
24
Evaluate ((-40)/(-6))/(9 - 275/33).
10
What is (-6)/(-540)*6 - 126/90?
-4/3
What is the value of (-8)/(440/25 + -9 - (-6)/15)?
-8/9
What is the value of 5*3 + -446 + 453?
22
Evaluate ((-412)/(-24) - (-16)/(-96)) + -27.
-10
Evaluate (-10)/(-15 + 57/19).
5/6
What is (36/(-54))/(5 - 6 - 14/(-12))?
-4
Calculate -2*(25 + -15 - 85/10).
-3
(51 + 6)*(-1)/((-66)/6 - -5)
19/2
What is the value of 6/8*90/27*(-28)/(-595)?
2/17
What is (((-84)/(-336))/((-6)/(-32)))/(2/12)?
8
What is the value of 1 + 238/(-18) + (-484)/(-2178)?
-12
(-1 - -14) + 29/(667/138)
19
Calculate -6 + -1 + 3310/(-662).
-12
Calculate 8/98*1344/768.
1/7
Evaluate (135/108)/((7/140)/1).
25
Evaluate (1095/3504)/((-10)/84).
-21/8
What is 1/((-24)/9) - (5 + 52/32)?
-7
Evaluate (-24 + 12 + 7)/(-4 + 3).
5
What is (-5 - (-627)/135)/((-50)/125)?
8/9
Evaluate ((-56)/448)/(2/(-3)).
3/16
What is the value of 66/(-44)*(-20)/3*1/(-2)?
-5
What is -11 - (-14 + (4 - -15))?
-16
What is (12/(-10) + 2)*-14*(-40)/896?
1/2
Evaluate 4116/(-1050) + (0 - -4).
2/25
Evaluate 1/3*-3*(7 - -2).
-9
Evaluate ((-609)/(-126) - 1)*6.
23
Calculate 18 + -11*(-1295)/(-770).
-1/2
What is the value of (0 + (-98)/(-4))*(-114)/(-399)?
7
-28 + 22 + (-112)/(-20)
-2/5
(-6)/(-114) + (-195)/95
-2
Evaluate 428/(-207045) + (-6)/135.
-2/43
Calculate (3/(-30) + (-1770)/300)/(-2).
3
Evaluate 28 - ((-165)/(-11) + -19).
32
What is (8/68)/(1520/(-170) - -9)?
2
What is (20/(-6))/(170/(-136))?
8/3
What is (-64 - -65)/(2/(-8))?
-4
Calculate (12/18)/((140/90)/((-12)/(-24))).
3/14
(-12)/(-24)*(-8)/44
-1/11
(123/(-369))/(8/(-52) - (-89)/663)
17
What is 19/(1235/(-468)) + (3 - -4)?
-1/5
Evaluate ((-2)/4)/((-170)/(-15)*(-12)/32).
2/17
What is the value of ((-39)/(-14))/((-1602)/(-1869))?
13/4
10/2 - (-11)/(99/(-36))
1
What is the value of -14 + (5 - 975/(-117))?
-2/3
What is (252/(-7728))/((-54)/207)?
1/8
What is 8/(-12) + 992/1736?
-2/21
What is the value of (-1482)/51 - (100 + -129)?
-1/17
Calculate 3*((-3)/(-9)*0 + (-1)/51).
-1/17
What is the value of 31/(-11) + (-30)/(-540)*54?
2/11
Calculate ((-35073)/(-2598))/(54/8).
2
(-26 + -57 + 70)/((0 - -2)/2)
-13
Evaluate 16 - (-31)/((-4774)/2520).
-4/11
What is (5/2)/(((-86)/(-215))/((-24)/(-25)))?
6
Evaluate 12 - ((-33 - -27) + -3).
21
What is (-314)/471 + (-111)/(-45)?
9/5
Evaluate ((2/(-4))/(-11 + 296/32))/2.
1/7
Calculate (2 + 45/(-20))/((-47)/(-94)).
-1/2
Evaluate ((-80)/2720)/((-3)/(-6)).
-1/17
Calculate 30 + 1371/(-45) - 4/(-6).
1/5
What is ((-96)/14)/(268/(-938))?
24
Calculate (-53)/((-20776)/(-180)) - 2/(-4).
2/49
Calculate (-8)/(-196)*(-581)/(-83).
2/7
What is the value of 2 - ((-710)/(-40) + -15)?
-3/4
What is (1/(5 - 187/22))/(16/(-70))?
5/4
What is 48/(0 + -3) - (44 + -55)?
-5
What is (-2 - 116/(-32)) + (2 - 4)?
-3/8
Calculate -2 - (924/(-616))/(6/40).
8
Evaluate (-16)/8*(2/8 - 198/504).
2/7
What is 1015/(-522)*20/15*3/7?
-10/9
1456/845 + (-5)/(25/9)
-1/13
(-2)/(-6) - (-48)/(6192/1505)
12
Calculate (232/6409)/((-112)/(-728)).
4/17
What is the value of ((-9)/(-480))/((-21)/(-28))?
1/40
(0 + -12 + 10)/(5/15)
-6
18/(-16) + 0 + -11 + (-267)/(-24)
-1
Evaluate (-390)/(-75)*10/4.
13
25/(-10)*(-1)/(3/(-6))
-5
Calculate -7 + 8 + -2 + -2.
-3
Calculate -31 + ((-13824)/408)/(-18) + (-4)/(-34).
-29
Calculate (-8)/160*5 + 611/76 - 8.
-4/19
Evaluate 4 + (21360/(-690) - -27).
1/23
What is the value of (-4)/80*-5 + 95/20?
5
Evaluate 19 + -7 - 42 - -34.
4
What is (0 + -29 - -9)*10/(-25) + -14?
-6
(-3476)/(-158) - (-12 - -13)
21
What is (-16)/(-220)*-11 + 1?
1/5
What is the value of -1*3/(-4) + 16065/(-1836) + 34?
26
Evaluate 93/(-33) + (-31)/(3410/20).
-3
What is the value of 2 + -20 + (-8229)/(-211)?
21
Evaluate ((-28)/63)/(-3 - -1).
2/9
What is 3/(-27) + 4/144?
-1/12
Evaluate (21/(-49))/(1/(-10) + (-128)/(-80)).
-2/7
4 + 8 + (33 - 26)
19
What is (6/155)/((-117)/195)?
-2/31
What is 9120/(-1900)*(-2)/16 + (2 - 1)?
8/5
What is the value of ((-5315)/1063)/(5/(-1))?
1
Evaluate 12/(-1) + (-79 - (-10700)/120).
-11/6
Calculate ((-1816)/(-4540))/(2/(-65)).
-13
What is -1 - (1424/(-144) + 4 - (-2)/(-18))?
5
Calculate 15/(-10)*4/(-18) + 4982/(-3498).
-12/11
3504/(-348) + ((-160)/145)/(-16)
-10
Evaluate 17 + -1 + (14 + 675/(-50))*22.
27
Evaluate (-36)/(14/(-4)*172/301).
18
What is (-120)/(-170)*2550/200?
9
Evaluate (-7564)/(-610) + (-2)/5.
12
2/(-18) + (-17015)/48555
-6/13
Calculate (-3)/65 - 262/(-1310).
2/13
What is 56/(-448)*(-20)/3?
5/6
Evaluate 8/(40/(-225))*((-132)/55)/(-6).
-18
What is the value of 26*((-1)/2)/((-66)/(-44) + -1)?
-26
(-26)/(-156) + (88/816)/(-1)
1/17
What is ((-34)/4)/((106/848)/((-1)/(-4)))?
-17
What is (6 - 0)/(9295/130 + -49)?
4/15
Calculate 20/((-612)/90 + 3 - 9/(-5)).
-10
Evaluate ((-3)/(6 + -12))/((-10)/(-20)).
1
What is (-3)/24*((-2)/(-4))/(32/(-64))?
1/8
Calculate 3 + 368/(-40) + 2 - -5.
4/5
What is the value of 12/2412*(3 + 3)?
2/67
Evaluate (81/4)/((-2)/(-26) + (-2485)/(-3692)).
27
(-94 + 93)*(2 + -1 + 6)
-7
(-4 + -1)*7539/(-5385)
7
Calculate (-2)/(((-8)/(-102))/(-2))*(-372)/1116.
-17
What is (-2 - 2)*29/(-812) - (-13)/(-42)?
-1/6
Calculate ((-952)/(-840))/(51/6).
2/15
What is (-27 + (-867)/(-34))/(1/(-10))?
15
Calculate (-374)/18 + ((-14365)/153)/13 + 7.
-21
What is the value of ((-23)/69)/(6 + 6/162 + -6)?
-9
What is (-260)/104*(-1)/5*16?
8
What is the value of (190/(-20) - 8 - -18)*(-1 - 3)?
-2
What is the value of (-4)/(-18)*(-120 - -12)?
-24
What is 84/(-70)*(-135)/18?
9
Evaluate (-2)/(-6)*-18*5/(60/16).
-8
What is 90/27*(-912)/760?
-4
What is the value of ((-6)/4*(-2)/(-1))/((-3885)/(-370))?
-2/7
Calculate 1221/1998*3/(-22).
-1/12
What is the value of ((-256)/(-160))/(208/20)?
2/13
5 + ((-3510)/(-189) - 23)
4/7
What is ((-22)/132)/((-4)/264)?
11
What is the value of (220/(-12) - (-70)/(-105)) + -3?
-22
Evaluate 6/(35/((-840)/36)).
-4
6 - ((-448)/192)/((-7)/12)
2
(4 + 9 + -22)*2/(-9) - -5
7
Calculate ((-6)/(-1))/((-6 | {
"pile_set_name": "DM Mathematics"
} |
, 447?
h**3 - h**2 - 22*h + 175
What is the g'th term of 1004, 3974, 8924, 15854, 24764, 35654?
990*g**2 + 14
What is the p'th term of -116, -157, -220, -305, -412?
-11*p**2 - 8*p - 97
What is the x'th term of -504, -2010, -4520, -8034, -12552, -18074?
-502*x**2 - 2
What is the x'th term of 116, 469, 1060, 1889, 2956?
119*x**2 - 4*x + 1
What is the p'th term of 25295, 25296, 25297, 25298?
p + 25294
What is the p'th term of 26, 50, 74, 98, 122?
24*p + 2
What is the h'th term of -4276, -4272, -4266, -4258, -4248?
h**2 + h - 4278
What is the j'th term of -173, -122, -37, 82, 235, 422, 643?
17*j**2 - 190
What is the x'th term of -3254, -6509, -9764, -13019?
-3255*x + 1
What is the y'th term of 41, 81, 121, 161, 201, 241?
40*y + 1
What is the y'th term of -7483, -7485, -7489, -7495, -7503, -7513?
-y**2 + y - 7483
What is the n'th term of 131, 149, 191, 269, 395, 581, 839?
2*n**3 + 4*n + 125
What is the f'th term of -94, -90, -86?
4*f - 98
What is the s'th term of -68, -103, -116, -95, -28, 97?
2*s**3 - s**2 - 46*s - 23
What is the w'th term of 40, 82, 124?
42*w - 2
What is the x'th term of 3037, 3036, 3035, 3034?
-x + 3038
What is the g'th term of -160, -158, -156, -154, -152, -150?
2*g - 162
What is the u'th term of 527, 529, 531?
2*u + 525
What is the l'th term of -194, -203, -204, -191, -158?
l**3 - 2*l**2 - 10*l - 183
What is the a'th term of -1, 13, 45, 101, 187, 309?
a**3 + 3*a**2 - 2*a - 3
What is the a'th term of 0, 41, 154, 375, 740?
6*a**3 - a - 5
What is the t'th term of 33, 122, 265, 456, 689, 958, 1257, 1580?
-t**3 + 33*t**2 - 3*t + 4
What is the z'th term of -30, -108, -232, -402, -618?
-23*z**2 - 9*z + 2
What is the n'th term of 17938, 17939, 17940, 17941, 17942, 17943?
n + 17937
What is the q'th term of -388, -402, -428, -472, -540, -638?
-q**3 - 7*q - 380
What is the v'th term of -214, -150, -76, 14, 126, 266?
v**3 - v**2 + 60*v - 274
What is the g'th term of -5391, -5400, -5419, -5454, -5511, -5596, -5715, -5874?
-g**3 + g**2 - 5*g - 5386
What is the p'th term of -466, -469, -472, -475?
-3*p - 463
What is the u'th term of 30, 4, -78, -246, -530, -960, -1566, -2378?
-5*u**3 + 2*u**2 + 3*u + 30
What is the r'th term of 45, 95, 153, 219, 293?
4*r**2 + 38*r + 3
What is the i'th term of 12, 38, 64, 90, 116, 142?
26*i - 14
What is the z'th term of 2007, 2008, 2009, 2010, 2011?
z + 2006
What is the w'th term of 0, 23, 58, 111, 188?
w**3 + 16*w - 17
What is the f'th term of -985, -987, -991, -997, -1005, -1015, -1027?
-f**2 + f - 985
What is the v'th term of 15, 75, 181, 339, 555?
v**3 + 17*v**2 + 2*v - 5
What is the m'th term of -18, -94, -292, -672, -1294, -2218?
-10*m**3 - m**2 - 3*m - 4
What is the g'th term of -145, -538, -1187, -2086, -3229?
g**3 - 134*g**2 + 2*g - 14
What is the y'th term of -37, -43, -49, -55, -61, -67?
-6*y - 31
What is the b'th term of -177, -172, -165, -156?
b**2 + 2*b - 180
What is the v'th term of -1203, -2410, -3617?
-1207*v + 4
What is the l'th term of -825, -1670, -2491, -3276, -4013, -4690, -5295, -5816?
2*l**3 - 859*l + 32
What is the o'th term of 5308, 5293, 5260, 5203, 5116, 4993, 4828, 4615?
-o**3 - 3*o**2 + o + 5311
What is the z'th term of 26, 23, 22, 23?
z**2 - 6*z + 31
What is the o'th term of 288, 273, 260, 249, 240, 233, 228?
o**2 - 18*o + 305
What is the s'th term of 25, 7, -59, -179, -359, -605, -923, -1319?
-s**3 - 18*s**2 + 43*s + 1
What is the w'th term of -755, -754, -753?
w - 756
What is the y'th term of -184, -387, -578, -751, -900?
y**3 - 210*y + 25
What is the u'th term of 191, 199, 215, 245, 295, 371?
u**3 - 2*u**2 + 7*u + 185
What is the x'th term of 35, 34, 21, -10, -65?
-x**3 + 6*x + 30
What is the c'th term of 163, 166, 171, 178, 187, 198?
c**2 + 162
What is the k'th term of 277, 275, 273, 271, 269, 267?
-2*k + 279
What is the i'th term of 47, 13, -35, -103, -197, -323, -487, -695?
-i**3 - i**2 - 24*i + 73
What is the m'th term of -29, -95, -209, -371?
-24*m**2 + 6*m - 11
What is the y'th term of 158, 390, 776, 1316, 2010?
77*y**2 + y + 80
What is the t'th term of 131, 126, 119, 110, 99, 86?
-t**2 - 2*t + 134
What is the r'th term of -80, -85, -92, -101?
-r**2 - 2*r - 77
What is the o'th term of 2, -59, -164, -313, -506, -743, -1024?
-22*o**2 + 5*o + 19
What is the h'th term of -288, -281, -270, -255, -236, -213, -186?
2*h**2 + h - 291
What is the k'th term of -41, -45, -1, 115, 327, 659, 1135, 1779?
4*k**3 - 32*k - 13
What is the n'th term of -81, -174, -269, -366, -465, -566, -669?
-n**2 - 90*n + 10
What is the y'th term of 1829, 1831, 1833, 1835, 1837, 1839?
2*y + 1827
What is the q'th term of -25, -52, -79, -106, -133, -160?
-27*q + 2
What is the z'th term of 87, 161, 219, 255, 263, 237, 171, 59?
-z**3 - 2*z**2 + 87*z + 3
What is the s'th term of -46, -118, -246, -436, -694, -1026?
-s**3 - 22*s**2 + s - 24
What is the i'th term of -83, -63, -21, 49, 153?
i**3 + 5*i**2 - 2*i - 87
What is the b'th term of -17, -18, -19, -20?
-b - 16
What is the x'th term of 400, 389, 364, 319, 248?
-x**3 - x**2 - x + 403
What is the j'th term of 29, 22, 15, 8, 1, -6?
-7*j + 36
What is the n'th term of -216, -456, -700, -948, -1200?
-2*n**2 - 234*n + 20
What is the s'th term of -17, -17, -5, 25, 79, 163, 283, 445?
s**3 - 7*s - 11
What is the x'th term of 52, 97, 144, 193?
x**2 + 42*x + 9
What is the u'th term of -8, -34, -68, -110, -160, -218, -284?
-4*u**2 - 14*u + 10
What is the p'th term of 99, 201, 303, 405, 507?
102*p - 3
What is the u'th term of 47, 62, 69, 62, 35, -18?
-u**3 + 2*u**2 + 16*u + 30
What is the h'th term of 54, 117, 218, 357, 534?
19*h**2 + 6*h + 29
What is the m'th term of -6579, -6574, -6567, -6558, -6547, -6534?
m**2 + 2*m - 6582
What is the n'th term of 627, 1254, 1881, 2508, 3135?
627*n
What is the g'th term of 29, -4, -89, -250, -511, -896, -1429, -2134?
-4*g**3 - 2*g**2 + g + 34
What is the q'th term of 9, 6, -3, -18, -39?
-3*q**2 + 6*q + 6
What is the d'th term of 43, 59, 73, 85, 95?
-d**2 + 19*d + 25
What is the f'th term of -22, -14, -10, -16, -38, -82?
-f**3 + 4*f**2 + 3*f - 28
What is the d'th term of 8, -23, -68, -121, -176, -227?
d**3 - 13*d**2 + d + 19
What is the s'th term of 104, 194, 334, 518, 740, 994, 1274?
-s**3 + 31*s**2 + 4*s + 70
What is the x'th term of 5, 73, 141, 209, 277, 345?
68*x - 63
What is the z'th term of -234, -253, -300, -387, -526, -729, -1008?
-2*z**3 - 2*z**2 + z - 231
What is the c'th term of 74, 97, 148, 239, 382?
2*c**3 + 2*c**2 + 3*c + 67
What is the r'th term of 1719, 3445, 5171?
1726*r - 7
What is the t'th term of -35, -46, -55, -62, -67, -70, -71?
t**2 - 14*t - 22
What is the s'th term of -178, -164, -140, -100, -38, 52, 176, 340?
s**3 - s**2 + 10*s - 188
What is the u'th term of 4536, 4532, 4526, 4518, 4508, 4496, 4482?
-u**2 - u + 4538
What is the a'th term of -3184, -3185, -3186, -3187, -3188?
-a - 3183
What is the g'th term of 79, 74, 65, 52?
-2*g**2 + g + 80
What is the z'th term of 583, 601, 637, 697, 787, 913?
z**3 + 3*z**2 + 2*z + 577
What is the p'th term of 32, 44, 78, 146, 260, 432?
2*p**3 - p**2 + p + 30
What is the o'th term of 83, 112, 137, 158?
-2*o**2 + 35*o + 50
What is the i'th term of 7521, 7527, 7545, 7581, 7641?
i**3 - i + 7521
What is the j'th term of -22, -20, -18, -16?
2*j - 24
What is the r'th term of 11, 9, 5, -1, -9, -19?
-r**2 + r + 11
What is the y'th term of 620, 591, 562, 533, 504?
-29*y + 649
What is the x'th term of -103, -189, -275, -361, -447?
-86*x - 17
What is the v'th term of 566, 561, 554, 545?
-v**2 - 2*v + 569
What is the k'th term of -30, -8, 16, 42, 70, 100, 132?
k**2 + 19*k - 50
What is the p'th term of -1, -6, -15, -28, -45, -66?
-2*p**2 + p
What is the v'th term of -533, -567, -601, -635, -669, -703?
-34*v - 499
What is the h'th term of -1010, -2041, -3092, -4169, -5278, -6425, -7616, -8857?
-h**3 - 4*h**2 - 1012*h + 7
What is the s'th term of -14, -6, 12, 40, 78, 126, 184?
5*s**2 - 7*s - 12
What is the x'th term of -81, -338, -767, -1368?
-86*x**2 + x + 4
What is the p'th term of 95, 96, 97, 98, 99, 100?
p + 94
What is the j'th term of 220, 273, 326, 379, 432, 485?
53*j + 167
What is the b'th term of 22, 36, 52, 70?
b**2 + 11*b + 10
What is the w'th term of -27, -26, -25?
w - 28
What is the q'th term of -66, -68, -70, -72?
-2*q - 64
What is the l'th term of 15, 20, 27, 36, 47?
l** | {
"pile_set_name": "DM Mathematics"
} |
rounded to the nearest ten thousand?
-10000
What is -0.000243 rounded to six dps?
-0.000243
Round -300.32 to the nearest integer.
-300
Round 0.00000646 to six dps.
0.000006
What is -0.13784 rounded to 2 dps?
-0.14
What is 6457800 rounded to the nearest one hundred thousand?
6500000
What is 64230 rounded to the nearest ten thousand?
60000
Round -0.179 to 2 dps.
-0.18
What is -1678.2 rounded to the nearest 10?
-1680
Round -101550000 to the nearest 100000.
-101600000
What is 153.272 rounded to the nearest 10?
150
Round 41172000 to the nearest 100000.
41200000
What is 120160000 rounded to the nearest one million?
120000000
What is -117.79 rounded to the nearest ten?
-120
Round 0.00001374 to six dps.
0.000014
What is -0.0000002 rounded to 6 decimal places?
0
What is 910200 rounded to the nearest ten thousand?
910000
Round -17689000 to the nearest 1000000.
-18000000
What is 811.6 rounded to the nearest ten?
810
Round -0.032299 to 2 dps.
-0.03
What is -9020 rounded to the nearest 1000?
-9000
What is 31590000 rounded to the nearest one million?
32000000
Round 122156000 to the nearest one million.
122000000
Round -0.00013414 to five dps.
-0.00013
What is 917000 rounded to the nearest one hundred thousand?
900000
What is 0.0000010527 rounded to 6 decimal places?
0.000001
Round 0.000037229 to 7 dps.
0.0000372
What is 0.00017929 rounded to five decimal places?
0.00018
What is 78118 rounded to the nearest one thousand?
78000
What is -0.9356 rounded to two decimal places?
-0.94
Round -0.0000099 to six dps.
-0.00001
Round 0.33612 to 3 decimal places.
0.336
What is 93950 rounded to the nearest one thousand?
94000
What is -30260 rounded to the nearest one thousand?
-30000
What is -750500000 rounded to the nearest 1000000?
-751000000
What is 0.0001943 rounded to 5 decimal places?
0.00019
Round -0.04158 to three dps.
-0.042
Round 3167.7 to the nearest ten.
3170
Round 5.59 to zero dps.
6
What is 42.603 rounded to 0 dps?
43
What is 18018.3 rounded to the nearest 1000?
18000
What is -0.000000605 rounded to 7 decimal places?
-0.0000006
What is 492410 rounded to the nearest 1000?
492000
Round 0.000000157 to 7 decimal places.
0.0000002
What is -1420640 rounded to the nearest 100000?
-1400000
Round -0.41444 to three decimal places.
-0.414
What is -350.301 rounded to the nearest 10?
-350
Round -0.000016865 to 7 dps.
-0.0000169
Round -0.0005938 to 4 dps.
-0.0006
What is -0.03118 rounded to 2 decimal places?
-0.03
What is -0.0063151 rounded to three dps?
-0.006
What is 64.36 rounded to zero decimal places?
64
What is -31717200 rounded to the nearest 100000?
-31700000
What is -0.004307 rounded to four dps?
-0.0043
What is -0.0000005091 rounded to 7 dps?
-0.0000005
Round -60000 to the nearest 100000.
-100000
What is 310990 rounded to the nearest 10000?
310000
Round -3.5914 to 0 decimal places.
-4
Round 15.271 to 0 dps.
15
Round 594800 to the nearest 100000.
600000
Round 1.92 to zero decimal places.
2
Round -392.57 to 0 decimal places.
-393
Round -751.676 to the nearest 10.
-750
Round -495.13 to the nearest one hundred.
-500
Round -5305000 to the nearest 100000.
-5300000
Round -1370.4 to the nearest 100.
-1400
Round 0.050484 to three decimal places.
0.05
What is -0.000741 rounded to 2 decimal places?
0
Round 714.9 to the nearest 100.
700
Round 2730 to the nearest 1000.
3000
Round -0.000405 to three decimal places.
0
Round -0.0024 to 4 decimal places.
-0.0024
What is -250000 rounded to the nearest one million?
0
What is -51.5 rounded to the nearest 10?
-50
Round -0.21665 to two decimal places.
-0.22
Round 53860000 to the nearest one million.
54000000
What is -179080 rounded to the nearest ten thousand?
-180000
Round 0.004267 to 4 dps.
0.0043
Round -1218.3 to the nearest ten.
-1220
What is 0.0000014063 rounded to 7 decimal places?
0.0000014
What is 0.0068346 rounded to 3 dps?
0.007
Round 366020000 to the nearest one million.
366000000
What is -322.2 rounded to the nearest 100?
-300
Round 0.00078731 to 5 dps.
0.00079
Round -4390 to the nearest 1000.
-4000
Round -0.073902 to 2 decimal places.
-0.07
What is 10324.5 rounded to the nearest one hundred?
10300
Round 96.16 to the nearest 10.
100
Round -1.91 to the nearest 10.
0
What is -0.00000037195 rounded to 7 dps?
-0.0000004
What is -1.141 rounded to two decimal places?
-1.14
Round -9.2 to the nearest ten.
-10
Round 52893 to the nearest one thousand.
53000
What is 0.00000020299 rounded to 7 decimal places?
0.0000002
Round -16760 to the nearest 10000.
-20000
Round 3168 to the nearest 100.
3200
What is 0.01173 rounded to 3 dps?
0.012
What is 4820 rounded to the nearest one thousand?
5000
Round -0.0015561 to five decimal places.
-0.00156
Round 0.003614 to 3 decimal places.
0.004
Round 0.00724 to 3 dps.
0.007
What is -0.15775 rounded to 3 decimal places?
-0.158
Round -0.07499 to two decimal places.
-0.07
What is -0.000927 rounded to 4 dps?
-0.0009
Round -18019 to the nearest one thousand.
-18000
What is 269120000 rounded to the nearest one million?
269000000
What is 0.000227245 rounded to five dps?
0.00023
What is -491050 rounded to the nearest ten thousand?
-490000
What is -11030000 rounded to the nearest 1000000?
-11000000
Round 56.8 to the nearest ten.
60
What is -0.00289 rounded to 3 decimal places?
-0.003
What is 96.007 rounded to the nearest integer?
96
What is -92.704 rounded to the nearest ten?
-90
Round -213.6 to the nearest ten.
-210
Round 0.0000009542 to seven decimal places.
0.000001
What is -5.452 rounded to the nearest integer?
-5
What is -18.244 rounded to the nearest ten?
-20
What is 0.015705 rounded to 4 dps?
0.0157
Round -0.00003231 to five decimal places.
-0.00003
What is 0.007483 rounded to 3 dps?
0.007
What is 0.005289 rounded to four dps?
0.0053
What is 0.00068714 rounded to 5 decimal places?
0.00069
Round 9.899 to the nearest integer.
10
Round 0.000023888 to 7 decimal places.
0.0000239
Round -0.6795 to 1 decimal place.
-0.7
What is 35.72 rounded to the nearest ten?
40
Round 1.147 to one dp.
1.1
What is -0.00004172 rounded to five dps?
-0.00004
What is -25743800 rounded to the nearest one million?
-26000000
What is -0.000088136 rounded to five decimal places?
-0.00009
What is 0.0007868 rounded to four decimal places?
0.0008
Round 32171.6 to the nearest one thousand.
32000
What is -48136000 rounded to the nearest 1000000?
-48000000
What is -116700 rounded to the nearest 10000?
-120000
Round -3861 to the nearest 100.
-3900
What is 0.00021682 rounded to 6 decimal places?
0.000217
What is 62349000 rounded to the nearest one million?
62000000
What is 0.000676 rounded to 5 decimal places?
0.00068
What is -0.00219926 rounded to five dps?
-0.0022
What is 1321000 rounded to the nearest 100000?
1300000
What is 7027300 rounded to the nearest 1000000?
7000000
Round -2.65 to zero dps.
-3
What is 0.0000004004 rounded to 7 dps?
0.0000004
What is 0.1884 rounded to one decimal place?
0.2
Round -2150000 to the nearest 100000.
-2200000
What is 2790 rounded to the nearest one thousand?
3000
Round -2390 to the nearest 100.
-2400
Round 1.5117 to 1 dp.
1.5
What is -98.542 rounded to the nearest ten?
-100
What is -8.533 rounded to 1 decimal place?
-8.5
What is -109000 rounded to the nearest ten thousand?
-110000
Round -0.00012165 to 6 decimal places.
-0.000122
Round -0.00893 to 3 dps.
-0.009
What is -0.00000425 rounded to 6 decimal places?
-0.000004
Round -0.000005859 to 7 decimal places.
-0.0000059
Round -0.306 to 1 decimal place.
-0.3
What is -678400 rounded to the nearest ten thousand?
-680000
What is -15.655 rounded to one dp?
-15.7
What is -0.000001 rounded to 6 dps?
-0.000001
What is -336.7 rounded to the nearest 100?
-300
What is -0.0014834 rounded to 4 decimal places?
-0.0015
Round 0.00001649 to 6 dps.
0.000016
Round -0.00007208 to 5 dps.
-0.00007
Round 0.00000398 to six decimal places.
0.000004
What is 37315 rounded to the nearest one hundred?
37300
What is -37100 rounded to the nearest 10000?
-40000
Round 94.096 to one decimal place.
94.1
What is 0.045833 rounded to 4 dps?
0.0458
What is 13.027 rounded to zero decimal places?
13
What is 173.771 rounded to one decimal place?
173.8
Round -49332 to the nearest 100.
-49300
What is 0.036283 rounded to three decimal places?
0.036
What is -0.000082579 rounded to 7 dps?
-0.000082 | {
"pile_set_name": "DM Mathematics"
} |
706, 760?
5*q**2 - q + 586
What is the n'th term of 203, 206, 209, 212, 215?
3*n + 200
What is the z'th term of 26, 27, 30, 35?
z**2 - 2*z + 27
What is the t'th term of 18, 27, 32, 33, 30, 23, 12?
-2*t**2 + 15*t + 5
What is the a'th term of 12, 27, 52, 87, 132, 187?
5*a**2 + 7
What is the k'th term of -982, -1941, -2902, -3865, -4830, -5797, -6766?
-k**2 - 956*k - 25
What is the b'th term of -46, -111, -226, -397, -630, -931, -1306, -1761?
-b**3 - 19*b**2 - b - 25
What is the w'th term of -32, -27, -18, -5?
2*w**2 - w - 33
What is the m'th term of -31, -31, -21, 5, 53?
m**3 - m**2 - 4*m - 27
What is the u'th term of 1766, 7060, 15882, 28232, 44110?
1764*u**2 + 2*u
What is the c'th term of -189, -194, -201, -210, -221?
-c**2 - 2*c - 186
What is the m'th term of 130, 135, 146, 163, 186, 215?
3*m**2 - 4*m + 131
What is the j'th term of 484, 538, 592, 646?
54*j + 430
What is the n'th term of 935, 1872, 2809, 3746, 4683, 5620?
937*n - 2
What is the t'th term of -678, -676, -674?
2*t - 680
What is the n'th term of -636, -637, -640, -645, -652, -661?
-n**2 + 2*n - 637
What is the m'th term of 21, 51, 81, 111, 141?
30*m - 9
What is the w'th term of 22, 35, 56, 85, 122, 167?
4*w**2 + w + 17
What is the j'th term of -59, -48, -27, 10, 69, 156, 277?
j**3 - j**2 + 7*j - 66
What is the f'th term of -18, -11, 2, 21, 46, 77?
3*f**2 - 2*f - 19
What is the h'th term of 50, 167, 362, 635, 986?
39*h**2 + 11
What is the b'th term of 193, 385, 579, 775, 973, 1173, 1375?
b**2 + 189*b + 3
What is the n'th term of 3216, 3218, 3220?
2*n + 3214
What is the y'th term of -105, -143, -213, -321, -473, -675?
-y**3 - 10*y**2 - y - 93
What is the i'th term of -230, -443, -658, -875, -1094?
-i**2 - 210*i - 19
What is the o'th term of -99, -183, -315, -489, -699, -939, -1203?
o**3 - 30*o**2 - o - 69
What is the w'th term of -20, -62, -122, -194, -272, -350, -422?
w**3 - 15*w**2 - 4*w - 2
What is the p'th term of -87, -189, -327, -519, -783, -1137, -1599, -2187?
-3*p**3 - 81*p - 3
What is the h'th term of -105, -202, -407, -774, -1357?
-9*h**3 - 34*h - 62
What is the j'th term of 11, 44, 135, 314, 611, 1056, 1679, 2510?
5*j**3 - j**2 + j + 6
What is the h'th term of -3706, -3708, -3710, -3712?
-2*h - 3704
What is the d'th term of -77, -75, -87, -119, -177, -267?
-d**3 - d**2 + 12*d - 87
What is the w'th term of 104, 260, 416?
156*w - 52
What is the y'th term of 96, 97, 98, 99, 100, 101?
y + 95
What is the r'th term of -147, -148, -157, -180, -223, -292?
-r**3 + 2*r**2 - 148
What is the r'th term of -270, -540, -810, -1080, -1350?
-270*r
What is the x'th term of 14, 102, 258, 488, 798?
x**3 + 28*x**2 - 3*x - 12
What is the p'th term of 130, 304, 478, 652?
174*p - 44
What is the s'th term of 252, 254, 258, 264, 272?
s**2 - s + 252
What is the h'th term of -3, 2, 9, 18, 29, 42?
h**2 + 2*h - 6
What is the o'th term of 8919, 8922, 8927, 8934?
o**2 + 8918
What is the s'th term of -113, -436, -975, -1730?
-108*s**2 + s - 6
What is the l'th term of -1, 100, 395, 980, 1951, 3404, 5435?
16*l**3 + l**2 - 14*l - 4
What is the m'th term of 12, 3, -6?
-9*m + 21
What is the t'th term of -4, -11, -24, -43, -68?
-3*t**2 + 2*t - 3
What is the u'th term of -624, -1263, -1924, -2613, -3336, -4099, -4908?
-u**3 - 5*u**2 - 617*u - 1
What is the z'th term of -5327, -5325, -5321, -5315, -5307?
z**2 - z - 5327
What is the a'th term of -2396, -2401, -2416, -2447, -2500, -2581, -2696, -2851?
-a**3 + a**2 - a - 2395
What is the o'th term of 30, 22, 14?
-8*o + 38
What is the s'th term of 11, 19, 27, 35, 43?
8*s + 3
What is the y'th term of 113, 482, 1095, 1952, 3053?
122*y**2 + 3*y - 12
What is the i'th term of 4155, 8316, 12479, 16644, 20811?
i**2 + 4158*i - 4
What is the a'th term of 19, 29, 33, 31?
-3*a**2 + 19*a + 3
What is the b'th term of 590, 1180, 1768, 2354, 2938, 3520?
-b**2 + 593*b - 2
What is the o'th term of -7458, -7457, -7456, -7455, -7454?
o - 7459
What is the j'th term of 224, 447, 670, 893?
223*j + 1
What is the h'th term of 22004, 22002, 21990, 21962, 21912, 21834, 21722, 21570?
-h**3 + h**2 + 2*h + 22002
What is the a'th term of 21, 10, -3, -18, -35?
-a**2 - 8*a + 30
What is the v'th term of -84, -82, -94, -126, -184, -274?
-v**3 - v**2 + 12*v - 94
What is the a'th term of -3943, -3944, -3955, -3982, -4031?
-a**3 + a**2 + 3*a - 3946
What is the g'th term of -289, -276, -255, -226, -189?
4*g**2 + g - 294
What is the l'th term of 84, 103, 106, 69, -32?
-4*l**3 + 16*l**2 - l + 73
What is the h'th term of 4421, 4423, 4427, 4433, 4441, 4451?
h**2 - h + 4421
What is the h'th term of 9, 17, 23, 27, 29, 29?
-h**2 + 11*h - 1
What is the u'th term of -92, -138, -214, -320?
-15*u**2 - u - 76
What is the l'th term of -317, -1266, -2849, -5066, -7917, -11402, -15521?
-317*l**2 + 2*l - 2
What is the h'th term of -142, -145, -152, -163?
-2*h**2 + 3*h - 143
What is the r'th term of -322, -645, -968, -1291?
-323*r + 1
What is the p'th term of -187, -611, -1311, -2281, -3515, -5007?
p**3 - 144*p**2 + p - 45
What is the w'th term of 83, 18, -149, -466, -981, -1742?
-8*w**3 - 3*w**2 + 94
What is the i'th term of 29365, 58732, 88111, 117508, 146929, 176380, 205867, 235396?
i**3 + 29360*i + 4
What is the n'th term of 649, 636, 623, 610, 597, 584?
-13*n + 662
What is the x'th term of -27, -34, -43, -54?
-x**2 - 4*x - 22
What is the u'th term of -122, -292, -462, -632, -802, -972?
-170*u + 48
What is the z'th term of -22, -39, -66, -103?
-5*z**2 - 2*z - 15
What is the m'th term of 21, 19, -7, -69, -179, -349, -591?
-2*m**3 + 12*m + 11
What is the n'th term of 11, 32, 75, 152, 275, 456, 707, 1040?
2*n**3 - n**2 + 10*n
What is the v'th term of -128, -508, -1142, -2030, -3172?
-127*v**2 + v - 2
What is the m'th term of 59, 267, 623, 1121, 1755?
-m**3 + 80*m**2 - 25*m + 5
What is the f'th term of -24, -14, -8, -12, -32, -74, -144, -248?
-f**3 + 4*f**2 + 5*f - 32
What is the v'th term of 35, 77, 147, 245, 371?
14*v**2 + 21
What is the v'th term of -2226, -2233, -2254, -2295, -2362, -2461, -2598, -2779?
-v**3 - v**2 + 3*v - 2227
What is the j'th term of -441, -443, -447, -453, -461?
-j**2 + j - 441
What is the g'th term of 478, 477, 468, 445, 402, 333, 232?
-g**3 + 2*g**2 + 477
What is the w'th term of 8076, 8077, 8078, 8079?
w + 8075
What is the r'th term of -15, -63, -143, -255?
-16*r**2 + 1
What is the k'th term of -25, -50, -79, -112, -149?
-2*k**2 - 19*k - 4
What is the l'th term of 48, 132, 228, 342, 480, 648?
l**3 + 77*l - 30
What is the g'th term of -184, -189, -198, -211?
-2*g**2 + g - 183
What is the k'th term of -67, -264, -591, -1048?
-65*k**2 - 2*k
What is the r'th term of 8, 33, 60, 83, 96?
-r**3 + 7*r**2 + 11*r - 9
What is the m'th term of 183, 186, 189, 192, 195?
3*m + 180
What is the v'th term of 15, 21, 31, 45, 63, 85?
2*v**2 + 13
What is the p'th term of -42, -55, -42, 9, 110, 273, 510?
2*p**3 + p**2 - 30*p - 15
What is the k'th term of -112, -455, -1026, -1825?
-114*k**2 - k + 3
What is the t'th term of -1381, -2740, -4085, -5410, -6709, -7976, -9205?
t**3 + t**2 - 1369*t - 14
What is the r'th term of -1382, -2758, -4132, -5504, -6874, -8242?
r**2 - 1379*r - 4
What is the r'th term of 171, 357, 555, 771, 1011, 1281?
r**3 + 179*r - 9
What is the j'th term of -1494, -1493, -1490, -1485, -1478, -1469?
j**2 - 2*j - 1493
What is the h'th term of 9, 7, 5, 3, 1?
-2*h + 11
What is the h'th term of -98, -196, -292, -386, -478, -568?
h**2 - 101*h + 2
What is the j'th term of -20, -63, -134, -233?
-14*j**2 - j - 5
What is the u'th term of -140, -139, -128, -101, -52, 25?
u**3 - u**2 - 3*u - 137
What is the n'th term of 173, 198, 259, 374, 561, 838, 1223?
3*n**3 + 4*n + 166
What is the j'th term of 111, 102, 83, 48, -9, -94, -213?
-j**3 + j**2 - 5*j + 116
What is the c'th term of -171, -324, -473, -618, -759, -896?
2*c**2 - 159*c - 14
What is the j'th term of -4, -19, -38, -61, -88, -119, -154?
-2*j**2 - 9*j + 7
What is the g'th term of 4608, 4603, 4596, 4587, 4576, 4563?
-g**2 - 2*g + 4611
What is the q'th term of 66, 64, 60, 54, 46, 36?
-q**2 + q + 66
What is the q'th term of -1789, -1788, -1787, -1786?
q - 1790
What is the o'th term of -824, -825, -826, -827, -828, -829?
-o - 823
What is the s'th term of 174, 340, 508, 678, 850, 1024, 1200?
s**2 + 163*s + 10
What is the s'th term of -9, -4, 9, 36, 8 | {
"pile_set_name": "DM Mathematics"
} |
Put 68, -3, 4, 3 in decreasing order.
68, 4, 3, -3
Sort 2, 0, -44, 8, -3 in decreasing order.
8, 2, 0, -3, -44
Sort 0.2, -92, 8267.49 in descending order.
8267.49, 0.2, -92
Sort 12602, 2, -83, 4, -1 in descending order.
12602, 4, 2, -1, -83
Put 3712, -54, 0, -3, -1 in ascending order.
-54, -3, -1, 0, 3712
Sort -3, -1704, 3, 52, 1, 5.
-1704, -3, 1, 3, 5, 52
Sort 20, -1/3, -7264, -7 in increasing order.
-7264, -7, -1/3, 20
Sort -3, -1546925, 0 in increasing order.
-1546925, -3, 0
Put 221/7, 19, -0.5, 79, 2 in decreasing order.
79, 221/7, 19, 2, -0.5
Sort 36.3, 13, 2/179, -4 in increasing order.
-4, 2/179, 13, 36.3
Sort -4, 49, 3, 1499 in ascending order.
-4, 3, 49, 1499
Sort 1043, 27, -2, 6, 2, -5, 22 in ascending order.
-5, -2, 2, 6, 22, 27, 1043
Sort -58, 123, -122, -8 in descending order.
123, -8, -58, -122
Put 68, -80, -3, -11, -2, -33 in descending order.
68, -2, -3, -11, -33, -80
Put -2, 7255, -517 in decreasing order.
7255, -2, -517
Put 453, 0.3, -6, -10, -286 in descending order.
453, 0.3, -6, -10, -286
Put -779.6, -1/5, -2/15, -24/13 in descending order.
-2/15, -1/5, -24/13, -779.6
Sort 4/7, 0.101, -0.107, 5, 1 in decreasing order.
5, 1, 4/7, 0.101, -0.107
Put 267, -8, 7, 53, 3 in ascending order.
-8, 3, 7, 53, 267
Put 645, -1/3, -54246, 2/7, -1 in ascending order.
-54246, -1, -1/3, 2/7, 645
Put -3, -5, 21.662, 24 in descending order.
24, 21.662, -3, -5
Put -180, -2, 2, -3518, -12 in descending order.
2, -2, -12, -180, -3518
Put 246946, -1, 2 in ascending order.
-1, 2, 246946
Put -3, -1/5, -4/63, 49.1, -0.4 in descending order.
49.1, -4/63, -1/5, -0.4, -3
Sort 470, -5, 102.
-5, 102, 470
Put 1, -1, -4, 0, 5, 2, 11692 in decreasing order.
11692, 5, 2, 1, 0, -1, -4
Put 0, -9, -30, 266, -4 in descending order.
266, 0, -4, -9, -30
Put 4.66, -100/327, 1 in ascending order.
-100/327, 1, 4.66
Put -639, -438, 0, 2, 3 in descending order.
3, 2, 0, -438, -639
Put -3, -6, -27, -1563, -4 in ascending order.
-1563, -27, -6, -4, -3
Sort 5, -3, -13, -41, 266, 0 in ascending order.
-41, -13, -3, 0, 5, 266
Put 49, 3, -32002 in increasing order.
-32002, 3, 49
Sort 29, -5, 0, -1, 39175 in decreasing order.
39175, 29, 0, -1, -5
Sort 0.04, -5/27, -1, -9, 3, -32.9 in ascending order.
-32.9, -9, -1, -5/27, 0.04, 3
Sort -5, 1, -7, 5, 52/11, 24, 0.3 in decreasing order.
24, 5, 52/11, 1, 0.3, -5, -7
Sort -247328, 0, 16 in decreasing order.
16, 0, -247328
Sort 17, -1.9, 1.6, -2.66, -0.09 in descending order.
17, 1.6, -0.09, -1.9, -2.66
Put -5, 210, 164, 12 in descending order.
210, 164, 12, -5
Put 26212812, 4, 2 in descending order.
26212812, 4, 2
Put 0, -5, 0.5, -2, 9, -11139, -1 in ascending order.
-11139, -5, -2, -1, 0, 0.5, 9
Sort 56, 4/7, -6, -3/2, -2, 1/13 in descending order.
56, 4/7, 1/13, -3/2, -2, -6
Put 143580, -15, -1, 4 in increasing order.
-15, -1, 4, 143580
Sort -1, 32, 11, 3, 1034 in descending order.
1034, 32, 11, 3, -1
Sort 42620, 2/9, -0.5, -79/4 in descending order.
42620, 2/9, -0.5, -79/4
Put 0, 17, 2471, 6, 3 in decreasing order.
2471, 17, 6, 3, 0
Sort 26/43, -0.4, 5, 2/31, -3/8, -3 in decreasing order.
5, 26/43, 2/31, -3/8, -0.4, -3
Sort 4, -71, 0.9, 10, -1/6, -7, 18.
-71, -7, -1/6, 0.9, 4, 10, 18
Sort -1/121, 12, 0.21, -2.
-2, -1/121, 0.21, 12
Sort 2, 25, -2/9, -3, -1, -5374.
-5374, -3, -1, -2/9, 2, 25
Sort -1, -1/4, 323, -0.1754, 3/8.
-1, -1/4, -0.1754, 3/8, 323
Put -1, -1970, 1, -6.1, 1/2, 5 in increasing order.
-1970, -6.1, -1, 1/2, 1, 5
Sort -10, -7, -31301 in increasing order.
-31301, -10, -7
Sort 5, 7, 795, 4, -263.
-263, 4, 5, 7, 795
Sort 20, 0, 3, -2, 73, -5, 2 in ascending order.
-5, -2, 0, 2, 3, 20, 73
Put 7, -3, 293, 2, -1, -2 in ascending order.
-3, -2, -1, 2, 7, 293
Sort 4, 2, 1283, 23, 11, 0 in decreasing order.
1283, 23, 11, 4, 2, 0
Sort -0.1, 15/7, 0, 5/6, -3278 in ascending order.
-3278, -0.1, 0, 5/6, 15/7
Sort -6, -3, -7969, -9504 in descending order.
-3, -6, -7969, -9504
Put -2, 38, -27, -712 in descending order.
38, -2, -27, -712
Put -6594, 2/7, -39 in decreasing order.
2/7, -39, -6594
Put 1, -2/11, -5, -12.067 in increasing order.
-12.067, -5, -2/11, 1
Put -1049, -2, -4/3, -2/305 in ascending order.
-1049, -2, -4/3, -2/305
Sort 3, 4233787, -1/16.
-1/16, 3, 4233787
Sort 13, -2/3835, 1/6, 6/35, -5 in increasing order.
-5, -2/3835, 1/6, 6/35, 13
Put -5766897, -6, -1 in increasing order.
-5766897, -6, -1
Sort 504, 2, -6, -2, 36 in descending order.
504, 36, 2, -2, -6
Put 2, -3, 33, -197, 5, -5, -1 in decreasing order.
33, 5, 2, -1, -3, -5, -197
Sort -78526, 324, 5 in ascending order.
-78526, 5, 324
Put -78, -211, -2, 157 in descending order.
157, -2, -78, -211
Put 3, -597, -3, 8, -20 in ascending order.
-597, -20, -3, 3, 8
Sort -4, -73, 13103 in increasing order.
-73, -4, 13103
Put 438, -0.2, 3/7, 0.092, -21 in increasing order.
-21, -0.2, 0.092, 3/7, 438
Put 2, 1, -91, -24, -6, -4, -5 in descending order.
2, 1, -4, -5, -6, -24, -91
Put 0, 5, -145/208, 1, -1.1 in decreasing order.
5, 1, 0, -145/208, -1.1
Put 2962.6, -5, 1, 2/11, 60, -3 in descending order.
2962.6, 60, 1, 2/11, -3, -5
Sort -4, 486, 5, 1, 0, 4, -2 in increasing order.
-4, -2, 0, 1, 4, 5, 486
Put 15, -25, 3, 2256, 1 in decreasing order.
2256, 15, 3, 1, -25
Sort 0.36, 0.352, 0.154.
0.154, 0.352, 0.36
Sort 0.2, -774/19, 12, -4, 0, -0.1.
-774/19, -4, -0.1, 0, 0.2, 12
Put 0, -1, 18132996 in increasing order.
-1, 0, 18132996
Put -4/25, 2, -0.044, -5.32 in descending order.
2, -0.044, -4/25, -5.32
Sort -5, 1, 11, -1, -122009.
-122009, -5, -1, 1, 11
Put -18, -2/1720389, -1 in descending order.
-2/1720389, -1, -18
Put 34, 61869, 31 in ascending order.
31, 34, 61869
Sort -1450, -572, 216.
-1450, -572, 216
Put -5198, -4, 16, -60 in increasing order.
-5198, -60, -4, 16
Sort -188856, 5, 4, -12, -2 in decreasing order.
5, 4, -2, -12, -188856
Put -23, -2, 22/9, 1/4, 4, 5 in ascending order.
-23, -2, 1/4, 22/9, 4, 5
Sort 1, -10, 4, 8, -3, 417, 0 in ascending order.
-10, -3, 0, 1, 4, 8, 417
Sort -567.762, 0.041, 2 in increasing order.
-567.762, 0.041, 2
Put 4, -59, -2, -6, -4, 67, -13 in increasing order.
-59, -13, -6, -4, -2, 4, 67
Sort 1, -68, 5, 0, -2, 203.
-68, -2, 0, 1, 5, 203
Put -3, -245, 33, -103, -8 in decreasing order.
33, -3, -8, -103, -245
Put -10.5, -20/313, -9 in decreasing order.
-20/313, -9, -10.5
Put 2/3, -0.4, -0.1, 1126320, -3.8 in increasing order.
-3.8, -0.4, -0.1, 2/3, 1126320
Put 3/5, 0.09, -73, -0.352, -5 in ascending order.
-73, -5, -0.352, 0.09, 3/5
Put -2, 0, -6260264 in decreasing order.
0, -2, -6260264
Sort 681, -130031, -4 in decreasing order.
681, -4, -130031
Put 152, 14, -4, -14, 45 in ascending order.
-14, -4, 14, 45, 152
Put 25, -22, -1, 0.5, -2/19, -0.4 in decreasing order.
25, 0.5, -2/19, -0.4, -1, -22
Sort -4, -69, 17096 in increasing order.
-69, -4, 17096
Put 1/10, -5430, -3, -4, -1.06 in decreasing order.
1/10, -1.06, -3, -4, -5430
Put -1, 5, 8, -5, -227947, -2 in decreasing order.
8, 5, -1, -2, -5, -227947
Put 3, -1, 4, -7, -2, -6, 427 in ascending order.
-7, -6, -2, -1, 3, 4, 427
Sort -39, -12468, 0, -0.032 in decreasing order.
0, -0.032, -39, -12468
Put -8994, -183, -27, -3, -4 in increasing order.
-8994, -183, -27, -4, -3
Sort 334, -1/2, -2, -3/4, -0.4 in ascending order.
-2, -3/4, -1/2, -0.4, 334
Sort 2, -9482, -2, -23, -5, 1, -4.
-9482, -23, -5, -4, -2, 1, 2
Sort 0.071, -2126.05, -2.
-2126.05, -2, 0.071
Sort -10, 14/2479, 0.03 in ascending order.
-10, 14/2479, 0.03
Sort 0, -134, 13, -5, 337, -3 in increasing order.
-134, -5, -3, 0, 13, 337
Sort 506, 5, -4, -26, 1, -5, -1 in descending order.
506, 5, 1, -1, -4, -5, -26
Sort -4/15, 2/13, 930, 14/3 in increasing order.
-4/15, 2/13, 14/3, 930
Sort -4, -27, -2/9, -2, -2166/7, 5 in ascending order.
-2166/7, -27, -4, -2, -2/9, 5
Put -8, 5, 0.9, -5, -3/5, 3, -1/4 in descending order.
5, 3, 0.9, -1/4, -3/5, -5, -8
Put -91, -59.83, 2 in ascending order.
-91, -59.83, 2
Sort -7, -13717, 4, 3 in descending order.
4, 3, -7, -13717
Put 1636, -3213, -1, 5 in increasing order.
-3213, -1, 5, 1636
Sort -3, 546, -3/7, 0, -0.1, -0.4 in decreasing order.
546, 0, -0.1, -0.4, -3/7, -3
Sort -3, -0.171, -153/1067, -0.5 in decreasing order.
-153/1067, -0.171, -0.5, -3
Put 5, -9, 76, -3, -69, -4 in descending order.
76, 5, -3, -4, -9, -69
Put 6, 126, -481, -2, 2, -3 in decreasing order.
126, 6, 2, -2, - | {
"pile_set_name": "DM Mathematics"
} |
8*t**2 - 5804*t + 12328.
-(t - 2)*(t + 46)*(t + 134)
Factor 2*m**2 + 16760*m - 16762.
2*(m - 1)*(m + 8381)
Solve -4*w**3 + 24646*w**2 - 37982560*w + 56918400 = 0.
3/2, 3080
Determine v so that -4*v**3 - 7800*v**2 - 108612*v - 379456 = 0.
-1936, -7
Factor -o**3/2 + 27*o**2 + 57*o/2 - 55.
-(o - 55)*(o - 1)*(o + 2)/2
Factor n**4/3 + 1570*n**3 + 18804*n**2 + 56376*n.
n*(n + 6)**2*(n + 4698)/3
Factor -x**2/5 + 1332*x/5 - 1327.
-(x - 1327)*(x - 5)/5
Factor -52*c**2 + 1794868*c + 552272.
-4*(c - 34517)*(13*c + 4)
Solve -v**4/5 + 559*v**3/5 - 14975*v**2 - 187815*v + 1299600 = 0.
-16, 5, 285
Let -12489*l**2/2 - 12534*l - 90 = 0. What is l?
-2, -30/4163
Factor -2*g**2 - 512384*g - 32817170432.
-2*(g + 128096)**2
Let -2*m**2/5 - 322*m/5 + 2652 = 0. Calculate m.
-195, 34
Solve -20*o**4 - 2432*o**3 - 71024*o**2 + 28800*o = 0 for o.
-72, -50, 0, 2/5
Suppose -h**4/4 + 721*h**3/4 + h**2/4 - 721*h/4 = 0. What is h?
-1, 0, 1, 721
Factor -5*j**2/2 - 1307861*j - 523144.
-(j + 523144)*(5*j + 2)/2
Determine d so that -2*d**2/11 + 114*d/11 + 620/11 = 0.
-5, 62
Solve n**2/6 + 97*n + 1719/2 = 0.
-573, -9
Suppose d**5/8 + 19*d**4/4 - 1057*d**3/8 + 2945*d**2/4 - 609*d = 0. What is d?
-58, 0, 1, 7, 12
Find w such that -2*w**2/11 - 11292*w/11 - 22576/11 = 0.
-5644, -2
Factor -g**4/9 + 232*g**3 - 1087846*g**2/9 - 242440*g - 1092025/9.
-(g - 1045)**2*(g + 1)**2/9
Factor u**2 + 723*u/4 + 135.
(u + 180)*(4*u + 3)/4
Factor -n**3/8 + 2325*n**2/4 + 27931*n/8 + 2910.
-(n - 4656)*(n + 1)*(n + 5)/8
Determine o, given that 2*o**2 - 2916*o + 48994 = 0.
17, 1441
Solve -i**5/3 + 16*i**4/3 - 21*i**3 - 16*i**2/3 + 64*i/3 = 0.
-1, 0, 1, 8
Determine k, given that 3*k**3 - 16764*k**2 + 33471*k + 251370 = 0.
-3, 5, 5586
Factor 3*j**2 - 867*j + 5094.
3*(j - 283)*(j - 6)
Let -3*a**2 - 11622*a - 11619 = 0. Calculate a.
-3873, -1
Suppose -50*z**4 - 70580*z**3 - 24893562*z**2 + 9965896*z - 996872 = 0. What is z?
-706, 1/5
Factor -3*m**2/4 - 669*m/4 - 3045.
-3*(m + 20)*(m + 203)/4
Factor l**2 - 79*l - 246.
(l - 82)*(l + 3)
What is t in 1030*t**4 + 5582*t**3 - 25848*t**2 - 504*t = 0?
-42/5, -2/103, 0, 3
Determine a so that 3*a**3/8 + 129*a**2/4 - 2043*a/2 - 41769 = 0.
-102, -26, 42
Factor 3*s**3/7 - 5454*s**2/7 + 2283003*s/7 + 181406796/7.
3*(s - 943)**2*(s + 68)/7
Suppose 2*w**5 - 68632*w**4 - 274554*w**3 - 205928*w**2 + 274552*w + 274560 = 0. What is w?
-2, -1, 1, 34320
Let -b**5 + 54*b**4 - 681*b**3 - 1172*b**2 + 5292*b + 8928 = 0. What is b?
-2, 3, 24, 31
Factor h**2/5 - 4179*h/5 - 836.
(h - 4180)*(h + 1)/5
Suppose 32*l**5 - 1584*l**4 + 19954*l**3 - 27314*l**2 + 10014*l - 1102 = 0. Calculate l.
1/4, 1, 19, 29
Factor v**2/5 + 177*v + 101864/5.
(v + 136)*(v + 749)/5
Solve -a**2/9 - 76*a/3 - 4160/9 = 0.
-208, -20
Factor -v**2/5 - 9442*v/5 - 9441/5.
-(v + 1)*(v + 9441)/5
Find n such that -2*n**4/3 + 382*n**3 + 2316*n**2 = 0.
-6, 0, 579
Solve -55*i**5 - 9060*i**4 + 70235*i**3 + 247500*i**2 + 116660*i - 51600 = 0.
-172, -2, -1, 3/11, 10
Solve -8*s**5 + 228*s**4 - 44*s**3 - 1908*s**2 + 52*s + 1680 = 0.
-5/2, -1, 1, 3, 28
Factor 2*m**4/7 - 104*m**3/7 - 216*m**2/7.
2*m**2*(m - 54)*(m + 2)/7
Determine k, given that 2*k**4 - 2216*k**3 + 604886*k**2 + 4966200*k + 4359096 = 0.
-7, -1, 558
What is n in 2*n**5/9 - 1000*n**4/3 + 500000*n**3/3 - 250000000*n**2/9 = 0?
0, 500
Determine s so that -20*s**4 + 3508*s**3 - 26548*s**2 - 250996*s - 140280 = 0.
-5, -3/5, 14, 167
Find v, given that 2*v**5/11 - 856*v**4/11 - 1734*v**3/11 + 6004*v**2/11 + 6904*v/11 - 10320/11 = 0.
-3, -2, 1, 2, 430
Factor 6*t**3 + 728*t**2 + 15446*t - 33852.
2*(t - 2)*(t + 93)*(3*t + 91)
Suppose -n**4 - 24*n**3 + 56*n**2 + 96*n - 208 = 0. What is n?
-26, -2, 2
Factor -w**3/3 - 11492*w**2/3 - 22981*w/3 - 3830.
-(w + 1)**2*(w + 11490)/3
Determine t, given that -13*t**5 + 1588*t**4 + 148151*t**3 + 551302*t**2 + 479252*t - 87320 = 0.
-59, -2, 2/13, 185
What is h in h**2/5 - 1290718*h/5 + 416488238881/5 = 0?
645359
Find j, given that 5*j**4/2 + 419*j**3 - 1191*j**2/2 - 674*j + 338 = 0.
-169, -1, 2/5, 2
Factor 2*n**2/9 + 97978*n/9 + 97972/3.
2*(n + 3)*(n + 48986)/9
Factor -2*r**2 + 72970*r - 72968.
-2*(r - 36484)*(r - 1)
Factor -3*f**3/8 - 345*f**2/4 - 687*f/8.
-3*f*(f + 1)*(f + 229)/8
Solve 35*t**5 - 1480*t**4 + 1785*t**3 + 58480*t**2 - 75620*t + 16800 = 0 for t.
-6, 2/7, 1, 7, 40
Find f such that f**4 + 13022*f**3 - 26047*f**2 + 13024*f = 0.
-13024, 0, 1
What is x in 2*x**3/3 - 574*x**2 + 123840*x - 369800/3 = 0?
1, 430
Solve -26*z**2/9 - 898*z/9 + 2368/9 = 0.
-37, 32/13
Factor -2*i**2/19 - 188994*i/19 + 188996/19.
-2*(i - 1)*(i + 94498)/19
Factor 4*a**3/9 + 321388*a**2/3.
4*a**2*(a + 241041)/9
Factor 2*a**5 - 124*a**4 - 792*a**3 - 1612*a**2 - 1354*a - 408.
2*(a - 68)*(a + 1)**3*(a + 3)
Factor -z**2 + 1494604*z - 558460279204.
-(z - 747302)**2
Determine x so that x**3/8 + 1533*x**2/4 + 2350089*x/8 = 0.
-1533, 0
Factor 3*h**3 - 4509*h**2 - 31674*h - 54360.
3*(h - 1510)*(h + 3)*(h + 4)
Find k such that -5*k**4 + 867*k**3 - 5401*k**2 + 9537*k - 3006 = 0.
2/5, 3, 167
Suppose b**3/3 - 1193*b**2/3 + 354016*b/3 + 357604 = 0. What is b?
-3, 598
Factor -30791*l**2/3 + 528*l - 4/3.
-(41*l - 2)*(751*l - 2)/3
Determine z, given that 105*z**4 + 519*z**3 + 285*z**2 - 963*z + 54 = 0.
-3, 2/35, 1
Factor -2*t**2/11 - 306*t + 16880/11.
-2*(t - 5)*(t + 1688)/11
Determine b, given that -4*b**3/9 + 39482*b**2/3 - 98698*b/3 + 118436/9 = 0.
1/2, 2, 29609
Find i such that 5*i**4 + 880*i**3 + 21330*i**2 + 184680*i + 543105 = 0.
-149, -9
Factor -5*a**3 + 3845*a**2 + 107210*a + 199000.
-5*(a - 796)*(a + 2)*(a + 25)
Find l, given that -l**2/6 - 13376*l/3 + 8918 = 0.
-26754, 2
Factor 3*s**4 - 51*s**3 - 267*s**2 + 315*s.
3*s*(s - 21)*(s - 1)*(s + 5)
Factor -3*t**2/2 - 1830*t - 25473/2.
-3*(t + 7)*(t + 1213)/2
Factor -2*v**3/7 + 178*v**2/7 - 2070*v/7 - 2250/7.
-2*(v - 75)*(v - 15)*(v + 1)/7
Determine v, given that 4615*v**3 - 64620*v**2 - 147540*v + 320 = 0.
-2, 2/923, 16
Let -4*b**4/19 + 6*b**3/19 + 108*b**2/19 = 0. Calculate b.
-9/2, 0, 6
Factor -2*b**4/11 - 1400*b**3/11 - 254*b**2 - 1396*b/11.
-2*b*(b + 1)**2*(b + 698)/11
Find l, given that 3*l**2 - 197394*l + 3247032603 = 0.
32899
Find j such that j**5 + 12*j**4 - 301*j**3 - 1692*j**2 + 1980*j = 0.
-22, -6, 0, 1, 15
Determine l, given that 2*l**5/7 - 12*l**4/7 - 86*l**3 - 84*l**2 = 0.
-14, -1, 0, 21
Determine t so that 5*t**3 + 29985*t**2 + 1309660*t = 0.
-5953, -44, 0
Factor -4*i**2/9 - 16256*i/9 + 5420/3.
-4*(i - 1)*(i + 4065)/9
Factor 27*x**3 + 5146353*x**2 + 3430893*x + 571815.
3*(x + 190605)*(3*x + 1)**2
Factor 17*p**2 + 1418*p - 840.
(p + 84)*(17*p - 10)
Suppose -2*z**3/13 - 568*z**2/13 - 1570*z - 19844/13 = 0. What is z?
-242, -41, -1
Suppose 3*r**5/2 + 57*r**4 - 828*r**3 - 939*r**2 + 1653*r/2 + 882 = 0. Calculate r.
-49, -1, 1, 12
Factor -2*s**3/3 - 400180*s**2/3 - 800354*s/3 - 133392.
-2*(s + 1)**2*(s + 200088)/3
Determine n, given that -n**3/3 + 260*n**2 + 7876*n/3 + 6320 = 0.
-6, -4, 790
Factor -4*b**2 + 1104*b - 5420.
-4*(b - 271)*(b - 5)
Determine a, given that -a**2 + 13094*a + 26192 = 0.
-2, 13096
Factor h**4/4 + 109*h**3/2 + 217*h**2/4.
h**2*(h + 1)*(h + 217)/4
Let -2*a**2 + 75409*a/3 - 12568/3 = 0. What is a?
1/6, 12568
Find d, given that -3*d**3 + 834*d**2 + 6891*d - 7722 = 0.
-9, 1, 286
Suppose 4*q**3/5 - 2292*q**2 + 205308*q/5 - 922428/5 = 0. What is q?
9, 2847
Factor 5*h**3 - 2740*h**2 - 5515*h + 8250.
5*(h - 550)*(h - 1)*(h + 3)
Factor -4*d**3 - 27516*d**2 + 82600*d + 110112.
-4*(d - 4)*(d + 1)*(d + 6882)
Solve -2*b**5 - 19518*b**4 - 175530*b**3 - 292450*b**2 + 487500*b = 0.
-9750, -5, 0, 1
Find l such that -2*l**4/9 - 2438*l**3/9 - 364684*l**2/3 - 212855048*l/9 - 14994668432/9 = 0.
-346, -181
Factor -2524*y**2/7 - 96*y/7.
-4*y*(631*y + 24)/7
Find d, given that d**4/3 - 2162*d**3/3 - 4333*d**2/3 + 10814*d/3 + 4328 = 0.
-3, -1, 2, 2164
Factor 5*z**3 + 12930*z**2 + 9472320*z + 1387503520.
5*(z + 194)*(z + 1196)**2
Find m, given that 2*m**3/13 + 70120*m**2/13 + 26966*m + 280440/13 = 0.
-35055, -4, -1
Suppose -13*n**5/5 + 1382*n**4/5 - 49564*n**3/5 + 124054*n**2 - 148715*n + 34300 = 0. What is n?
4/13, 1, 35
Suppose x**2/2 - 33833*x/2 + 50745 = 0. Calculate x.
3, 33830
Factor 5*r**4 - 615*r**3 + 14210*r**2 + 310080*r - 323680.
5*(r - 68)**2*(r - 1)*(r + 14)
Factor -4*i**4 + 132*i**3 + 1620*i**2 + 4 | {
"pile_set_name": "DM Mathematics"
} |
are there between 4:05 AM and 9:25 AM?
320
How many minutes are there between 12:04 AM and 8:25 AM?
501
What is 660 minutes before 11:29 AM?
12:29 AM
How many minutes are there between 12:32 PM and 3:49 PM?
197
How many minutes are there between 3:21 AM and 4:03 AM?
42
What is 249 minutes after 2:00 AM?
6:09 AM
What is 470 minutes after 10:21 PM?
6:11 AM
What is 676 minutes after 4:17 PM?
3:33 AM
How many minutes are there between 4:59 AM and 4:09 PM?
670
How many minutes are there between 3:46 AM and 4:13 AM?
27
How many minutes are there between 8:08 PM and 8:35 PM?
27
How many minutes are there between 10:15 AM and 7:33 PM?
558
How many minutes are there between 7:36 AM and 10:58 AM?
202
What is 644 minutes after 5:23 AM?
4:07 PM
What is 549 minutes before 9:54 PM?
12:45 PM
How many minutes are there between 8:03 PM and 8:30 PM?
27
What is 98 minutes after 6:15 AM?
7:53 AM
How many minutes are there between 2:23 PM and 1:09 AM?
646
What is 4 minutes after 6:17 AM?
6:21 AM
What is 359 minutes after 2:14 AM?
8:13 AM
How many minutes are there between 3:46 PM and 3:26 AM?
700
What is 560 minutes after 2:02 PM?
11:22 PM
What is 102 minutes after 5:15 PM?
6:57 PM
How many minutes are there between 7:33 PM and 6:55 AM?
682
How many minutes are there between 11:23 PM and 2:15 AM?
172
How many minutes are there between 5:23 PM and 7:06 PM?
103
What is 315 minutes before 5:53 PM?
12:38 PM
What is 313 minutes after 6:59 PM?
12:12 AM
How many minutes are there between 5:52 PM and 1:53 AM?
481
What is 231 minutes after 12:30 AM?
4:21 AM
How many minutes are there between 6:24 AM and 8:36 AM?
132
How many minutes are there between 11:42 AM and 7:55 PM?
493
How many minutes are there between 11:26 PM and 12:16 AM?
50
What is 96 minutes after 6:13 AM?
7:49 AM
What is 630 minutes before 7:53 PM?
9:23 AM
How many minutes are there between 7:36 PM and 4:24 AM?
528
What is 127 minutes before 3:37 PM?
1:30 PM
How many minutes are there between 11:26 PM and 12:16 AM?
50
What is 564 minutes before 4:46 AM?
7:22 PM
What is 670 minutes after 1:53 AM?
1:03 PM
How many minutes are there between 10:09 AM and 1:23 PM?
194
What is 496 minutes after 6:17 AM?
2:33 PM
What is 139 minutes before 7:11 PM?
4:52 PM
What is 399 minutes before 1:06 PM?
6:27 AM
What is 171 minutes after 7:09 AM?
10:00 AM
What is 202 minutes after 3:18 PM?
6:40 PM
What is 127 minutes after 2:08 PM?
4:15 PM
What is 92 minutes after 10:17 AM?
11:49 AM
How many minutes are there between 2:44 AM and 4:26 AM?
102
What is 583 minutes before 7:57 AM?
10:14 PM
How many minutes are there between 1:22 AM and 8:46 AM?
444
How many minutes are there between 10:51 PM and 4:00 AM?
309
What is 194 minutes before 3:25 PM?
12:11 PM
What is 19 minutes after 11:56 PM?
12:15 AM
What is 587 minutes after 9:30 PM?
7:17 AM
How many minutes are there between 7:21 AM and 4:38 PM?
557
What is 468 minutes after 2:28 AM?
10:16 AM
What is 448 minutes after 6:56 AM?
2:24 PM
How many minutes are there between 9:40 PM and 1:50 AM?
250
What is 324 minutes before 12:52 PM?
7:28 AM
What is 332 minutes before 1:24 PM?
7:52 AM
How many minutes are there between 9:01 PM and 10:00 PM?
59
How many minutes are there between 7:56 AM and 12:48 PM?
292
How many minutes are there between 11:49 AM and 4:44 PM?
295
What is 491 minutes after 2:10 AM?
10:21 AM
How many minutes are there between 6:48 AM and 2:26 PM?
458
How many minutes are there between 1:55 PM and 1:25 AM?
690
What is 646 minutes after 6:29 AM?
5:15 PM
What is 660 minutes before 11:47 AM?
12:47 AM
What is 300 minutes before 10:23 AM?
5:23 AM
How many minutes are there between 6:31 AM and 4:07 PM?
576
How many minutes are there between 7:22 AM and 8:25 AM?
63
How many minutes are there between 6:03 PM and 4:27 AM?
624
How many minutes are there between 6:05 AM and 3:56 PM?
591
How many minutes are there between 7:43 AM and 11:06 AM?
203
What is 231 minutes after 7:38 PM?
11:29 PM
How many minutes are there between 9:42 AM and 3:48 PM?
366
How many minutes are there between 5:11 PM and 11:59 PM?
408
How many minutes are there between 11:19 PM and 6:04 AM?
405
What is 207 minutes before 6:59 AM?
3:32 AM
How many minutes are there between 11:22 PM and 4:50 AM?
328
What is 667 minutes after 9:43 PM?
8:50 AM
What is 160 minutes before 3:41 PM?
1:01 PM
How many minutes are there between 11:10 AM and 8:54 PM?
584
How many minutes are there between 6:46 PM and 8:24 PM?
98
How many minutes are there between 2:36 PM and 7:31 PM?
295
How many minutes are there between 8:59 PM and 8:04 AM?
665
What is 27 minutes after 4:51 PM?
5:18 PM
How many minutes are there between 12:59 AM and 1:48 AM?
49
How many minutes are there between 6:09 AM and 4:33 PM?
624
What is 496 minutes after 2:28 PM?
10:44 PM
What is 618 minutes after 2:19 PM?
12:37 AM
How many minutes are there between 11:59 AM and 11:20 PM?
681
What is 714 minutes after 4:10 PM?
4:04 AM
How many minutes are there between 9:17 PM and 3:24 AM?
367
What is 388 minutes after 9:25 PM?
3:53 AM
What is 40 minutes after 5:55 PM?
6:35 PM
What is 255 minutes after 5:31 PM?
9:46 PM
How many minutes are there between 12:55 AM and 1:35 AM?
40
How many minutes are there between 6:44 PM and 4:12 AM?
568
What is 40 minutes before 2:09 AM?
1:29 AM
How many minutes are there between 12:32 PM and 7:26 PM?
414
How many minutes are there between 3:32 AM and 2:50 PM?
678
What is 528 minutes before 12:43 AM?
3:55 PM
How many minutes are there between 2:10 AM and 8:37 AM?
387
How many minutes are there between 11:52 PM and 8:05 AM?
493
What is 303 minutes after 8:41 PM?
1:44 AM
How many minutes are there between 12:11 PM and 8:24 PM?
493
How many minutes are there between 8:18 PM and 5:24 AM?
546
What is 538 minutes before 7:01 PM?
10:03 AM
How many minutes are there between 7:40 AM and 12:43 PM?
303
How many minutes are there between 2:29 AM and 1:15 PM?
646
What is 121 minutes after 5:13 AM?
7:14 AM
How many minutes are there between 9:55 PM and 6:16 AM?
501
What is 591 minutes before 3:00 AM?
5:09 PM
How many minutes are there between 5:01 PM and 1:56 AM?
535
What is 428 minutes before 2:34 AM?
7:26 PM
How many minutes are there between 7:19 AM and 8:51 AM?
92
How many minutes are there between 12:48 AM and 11:15 AM?
627
How many minutes are there between 12:17 PM and 3:21 PM?
184
What is 430 minutes after 5:08 PM?
12:18 AM
How many minutes are there between 6:21 AM and 8:59 AM?
158
What is 27 minutes after 12:52 PM?
1:19 PM
How many minutes are there between 11:13 AM and 9:59 PM?
646
How many minutes are there between 11:58 AM and 11:13 PM?
675
How many minutes are there between 6:45 PM and 5:32 AM?
647
How many minutes are there between 5:50 PM and 6:31 PM?
41
What is 687 minutes after 8:58 PM?
8:25 AM
What is 97 minutes after 10:34 AM?
12:11 PM
What is 103 minutes after 2:26 AM?
4:09 AM
How many minutes are there between 11:26 AM and 12:58 PM?
92
How many minutes are there between 12:28 PM and 1:39 PM?
71
How many minutes are there between 8:07 AM and 2:07 PM?
360
How many minutes are there between 9:10 AM and 11:46 AM?
156
How many minutes are there between 11:37 PM and 4:58 AM?
321
What is 158 minutes after 1:00 AM?
3:38 AM
What is 148 minutes after 6:31 PM?
8:59 PM
How many minutes are there between 5:46 AM and 9:01 AM?
195
How many minutes are there between 12:57 AM and 1:24 AM?
27
How many minutes are there between 9:53 AM and 6:38 PM?
525
How many minutes are there between 5:19 AM and 12:23 PM?
424
What is 678 minutes before 9:47 AM?
10:29 PM
How many minutes are there between 9:21 PM and 10:50 PM?
89
How many minutes are there between 7:57 PM and 12:08 AM?
251
What is 158 minutes before 11:31 PM?
8:53 PM
What is 104 minutes before 9:09 AM?
7:25 AM
What is 552 minutes before 9:40 AM?
12:28 AM
How many minutes are there between 7:15 AM and 9:02 AM?
107
How many minutes are there between 6:12 PM and 10:08 PM?
236
How many minutes are there between 3:18 PM and 4:10 PM?
52
How many minutes are there between 12:35 AM and 7:34 AM?
419
How many minutes are there between 3:52 PM and 1:24 AM?
572
How many minutes are there between 8:33 PM and 7:35 AM?
662
What is 631 minutes before 7:17 PM?
8:46 AM
What is 446 minutes after 7:54 AM?
3:20 PM
How many | {
"pile_set_name": "DM Mathematics"
} |
replacement from {z: 2, p: 8}.
8/45
Four letters picked without replacement from kbsksbkss. What is prob of sequence bkbk?
1/252
Three letters picked without replacement from zzmzzzjszjwjzszzwsh. What is prob of sequence jwm?
1/969
Three letters picked without replacement from ccctccccicttt. What is prob of sequence cti?
8/429
Two letters picked without replacement from ymmwmcywmyxywb. What is prob of sequence cx?
1/182
Three letters picked without replacement from fgffgggggfg. Give prob of sequence ggg.
7/33
Four letters picked without replacement from {p: 1, e: 7, o: 5, a: 1}. What is prob of sequence oaoe?
5/858
Three letters picked without replacement from ajbzjczzzzzzjpzp. Give prob of sequence bac.
1/3360
What is prob of sequence mj when two letters picked without replacement from {m: 1, c: 1, j: 2, x: 2}?
1/15
Calculate prob of sequence zj when two letters picked without replacement from yzysszysyayyadjay.
1/136
Four letters picked without replacement from {f: 3, l: 11}. What is prob of sequence flfl?
5/182
Four letters picked without replacement from cvaccaavcaa. What is prob of sequence aaav?
1/66
Calculate prob of sequence aan when three letters picked without replacement from {a: 2, n: 2}.
1/6
Calculate prob of sequence rkrk when four letters picked without replacement from {p: 3, r: 2, k: 8, y: 2, n: 4}.
7/5814
What is prob of sequence dph when three letters picked without replacement from dpmmfhzp?
1/168
Four letters picked without replacement from {w: 6, a: 12}. What is prob of sequence awaa?
11/102
Two letters picked without replacement from {u: 3, f: 5}. What is prob of sequence fu?
15/56
What is prob of sequence xqq when three letters picked without replacement from {x: 2, t: 8, q: 2}?
1/330
Calculate prob of sequence ff when two letters picked without replacement from {f: 5, p: 15}.
1/19
Four letters picked without replacement from eeesseu. Give prob of sequence sseu.
1/105
What is prob of sequence vgk when three letters picked without replacement from {c: 3, k: 1, g: 8, v: 6}?
1/102
Three letters picked without replacement from zooozon. What is prob of sequence zno?
4/105
Two letters picked without replacement from uuncuunwcunuw. Give prob of sequence cw.
1/39
Two letters picked without replacement from rrrrqrrrrrrrrrrrrq. Give prob of sequence qq.
1/153
Three letters picked without replacement from tyyteteteey. Give prob of sequence tte.
8/165
Four letters picked without replacement from {y: 15, s: 5}. Give prob of sequence sssy.
5/646
Two letters picked without replacement from jcwssjsjwbwssw. What is prob of sequence cb?
1/182
What is prob of sequence aka when three letters picked without replacement from akkazakkakk?
4/55
What is prob of sequence hl when two letters picked without replacement from {l: 1, h: 2}?
1/3
Three letters picked without replacement from ggghgoghgoohgh. What is prob of sequence hgg?
1/13
Calculate prob of sequence zh when two letters picked without replacement from {y: 1, c: 3, h: 9, z: 6}.
3/19
Two letters picked without replacement from {j: 9, b: 9}. What is prob of sequence jj?
4/17
Four letters picked without replacement from {l: 1, d: 6, a: 2, u: 2, c: 5}. Give prob of sequence audu.
1/1820
Two letters picked without replacement from {h: 4, o: 2, k: 1, b: 3, m: 1, u: 1}. What is prob of sequence uh?
1/33
What is prob of sequence aniv when four letters picked without replacement from hnvhannnnhvnnisnsvn?
3/10336
Two letters picked without replacement from rmvrvq. What is prob of sequence mm?
0
Three letters picked without replacement from wuwugjegejre. What is prob of sequence wjg?
1/165
What is prob of sequence mmp when three letters picked without replacement from mkqkpmmmkpkmqpp?
8/273
Calculate prob of sequence cwv when three letters picked without replacement from ccvcvvcvwv.
1/36
What is prob of sequence rtrr when four letters picked without replacement from rrrtttt?
1/35
Calculate prob of sequence slb when three letters picked without replacement from {v: 2, s: 2, l: 1, i: 1, b: 1, q: 1}.
1/168
Two letters picked without replacement from {h: 2, e: 2, z: 1, s: 1}. Give prob of sequence eh.
2/15
Calculate prob of sequence hh when two letters picked without replacement from {c: 4, y: 2, i: 8, h: 3}.
3/136
Four letters picked without replacement from vzzzvv. Give prob of sequence vvvz.
1/20
What is prob of sequence rrbr when four letters picked without replacement from {s: 3, r: 11, b: 4}?
11/204
Calculate prob of sequence ii when two letters picked without replacement from {c: 1, i: 2}.
1/3
What is prob of sequence nv when two letters picked without replacement from {n: 2, v: 18}?
9/95
What is prob of sequence ppup when four letters picked without replacement from pppuupupppppppp?
11/91
Calculate prob of sequence cc when two letters picked without replacement from pfappfpppccpffppypy.
1/171
What is prob of sequence sn when two letters picked without replacement from {s: 5, n: 3, g: 3}?
3/22
Calculate prob of sequence quu when three letters picked without replacement from pupuqqqqq.
5/252
What is prob of sequence grm when three letters picked without replacement from {r: 2, n: 1, m: 1, i: 1, s: 11, g: 2}?
1/1224
Calculate prob of sequence lli when three letters picked without replacement from wrevlrerrill.
1/220
Four letters picked without replacement from ugnguunu. Give prob of sequence nung.
1/105
Calculate prob of sequence qqqq when four letters picked without replacement from qyqgqmmqqqg.
1/22
What is prob of sequence sws when three letters picked without replacement from lslwwllllllww?
0
Two letters picked without replacement from egyaemi. Give prob of sequence me.
1/21
Three letters picked without replacement from uwwuuwbbbwwwbbww. What is prob of sequence ubw?
1/28
Three letters picked without replacement from {h: 5, c: 3, t: 1, v: 3}. What is prob of sequence cvt?
3/440
Calculate prob of sequence hu when two letters picked without replacement from mmhhhhuhujwnnmnhhh.
8/153
Two letters picked without replacement from rrdgcyjj. Give prob of sequence jy.
1/28
Four letters picked without replacement from {k: 2, h: 4, l: 2, m: 1}. What is prob of sequence hhmh?
1/126
Calculate prob of sequence rrqq when four letters picked without replacement from rqrrrqrrrrrq.
2/55
Three letters picked without replacement from {f: 4, b: 2}. Give prob of sequence fbb.
1/15
What is prob of sequence zyn when three letters picked without replacement from nptzytw?
1/210
Three letters picked without replacement from tnxnntt. Give prob of sequence ntn.
3/35
Calculate prob of sequence hvv when three letters picked without replacement from {l: 2, e: 3, v: 4, s: 2, h: 1, w: 3}.
2/455
What is prob of sequence mee when three letters picked without replacement from {m: 2, p: 2, h: 4, d: 3, q: 2, e: 2}?
2/1365
Four letters picked without replacement from {s: 1, f: 3, r: 2, b: 13}. What is prob of sequence bbsb?
143/7752
Three letters picked without replacement from {e: 4, q: 2, g: 5, z: 2, b: 1, y: 1}. What is prob of sequence eyb?
2/1365
What is prob of sequence ab when two letters picked without replacement from {m: 1, a: 1, u: 2, z: 7, x: 2, b: 1}?
1/182
What is prob of sequence sg when two letters picked without replacement from {g: 2, z: 1, s: 1, v: 2}?
1/15
Two letters picked without replacement from zzzezzzzzzwzewwzwwz. Give prob of sequence zz.
22/57
Four letters picked without replacement from uukyukummqukyu. What is prob of sequence muyq?
1/1001
Three letters picked without replacement from {i: 4, j: 2, m: 7, n: 1, l: 1, o: 3}. What is prob of sequence omj?
7/816
Calculate prob of sequence lc when two letters picked without replacement from {l: 3, q: 1, c: 2, u: 1}.
1/7
What is prob of sequence ax when two letters picked without replacement from xkxajazj?
1/14
What is prob of sequence il when two letters picked without replacement from illl?
1/4
Three letters picked without replacement from {z: 5, o: 9}. What is prob of sequence zoz?
15/182
Two letters picked without replacement from nnngngngngngn. What is prob of sequence nn?
14/39
Four letters picked without replacement from fffff. What is prob of sequence ffff?
1
What is prob of sequence wadd when four letters picked without replacement from sswddsss | {
"pile_set_name": "DM Mathematics"
} |
37600 a multiple of 47?
True
Is 10 a factor of 11380050?
True
Does 322 divide 432124?
True
Is 646194 a multiple of 314?
False
Does 10 divide 317710?
True
Is 17 a factor of 1593087?
True
Is 255 a factor of 44088?
False
Is 3 a factor of 54039?
True
Is 470 a factor of 310915?
False
Does 259 divide 384760?
False
Does 72 divide 79873?
False
Is 86559 a multiple of 61?
True
Is 207522 a multiple of 14?
True
Is 11 a factor of 36450?
False
Does 20 divide 52400?
True
Is 31175 a multiple of 29?
True
Is 590937 a multiple of 6?
False
Is 102453 a multiple of 213?
True
Does 69 divide 266384?
False
Does 72 divide 948024?
True
Is 18 a factor of 1133547?
False
Is 10 a factor of 57686?
False
Is 52 a factor of 7077584?
False
Is 95 a factor of 316593?
False
Does 296 divide 7346777?
False
Is 111 a factor of 11861127?
True
Does 31 divide 1898554?
False
Is 230 a factor of 4087790?
True
Is 1518593 a multiple of 255?
False
Is 1363559 a multiple of 218?
False
Is 64342 a multiple of 200?
False
Does 23 divide 203922?
False
Is 6 a factor of 4954692?
True
Is 74632 a multiple of 47?
False
Does 770 divide 1325789?
False
Is 3762900 a multiple of 222?
True
Is 185432 a multiple of 13?
True
Is 1012 a factor of 16333680?
True
Is 4206665 a multiple of 21?
False
Is 3910234 a multiple of 164?
False
Is 65 a factor of 245050?
True
Is 17 a factor of 289?
True
Is 23 a factor of 264415?
False
Is 148608 a multiple of 9?
True
Does 49 divide 4367?
False
Does 22 divide 47850?
True
Is 8 a factor of 49267?
False
Does 36 divide 10869?
False
Is 228 a factor of 190265?
False
Is 118 a factor of 155354?
False
Does 19 divide 918137?
True
Is 1917 a factor of 2482515?
True
Is 45 a factor of 1125534?
False
Does 8 divide 117402?
False
Is 16 a factor of 10381680?
True
Is 137130 a multiple of 6?
True
Is 24530 a multiple of 5?
True
Does 58 divide 361340?
True
Does 29 divide 492797?
True
Does 14 divide 65852?
False
Is 96 a factor of 184032?
True
Is 60 a factor of 201540?
True
Is 241466 a multiple of 58?
False
Does 16 divide 3816384?
True
Is 43 a factor of 214557?
False
Is 55 a factor of 19900595?
True
Does 46 divide 219174?
False
Does 21 divide 325332?
True
Is 325891 a multiple of 97?
False
Does 8 divide 245965?
False
Is 5688581 a multiple of 14?
False
Is 29 a factor of 4912701?
False
Is 756 a factor of 2308068?
True
Is 10395582 a multiple of 74?
False
Is 356551 a multiple of 13?
True
Is 1134939 a multiple of 9?
False
Is 419 a factor of 12653?
False
Is 51 a factor of 12119391?
False
Is 94872 a multiple of 24?
True
Is 40 a factor of 1809360?
True
Is 347320 a multiple of 4?
True
Is 51259 a multiple of 23?
False
Does 160 divide 316320?
True
Is 26452 a multiple of 8?
False
Is 597 a factor of 614174?
False
Is 206 a factor of 1025674?
True
Is 300779 a multiple of 217?
False
Does 828 divide 7922304?
True
Is 10 a factor of 37410?
True
Is 455685 a multiple of 5?
True
Is 10 a factor of 40373?
False
Does 180 divide 19800?
True
Does 99 divide 354618?
True
Is 16 a factor of 180816?
True
Is 19 a factor of 274740?
True
Is 23 a factor of 5311?
False
Does 32 divide 260352?
True
Does 251 divide 141815?
True
Is 347438 a multiple of 91?
True
Is 19 a factor of 2085136?
True
Is 89 a factor of 104397?
True
Is 6594318 a multiple of 29?
False
Does 657 divide 3586563?
True
Is 811170 a multiple of 7?
False
Is 149 a factor of 367742?
False
Is 944208 a multiple of 459?
False
Is 98 a factor of 171660?
False
Does 323 divide 83334?
True
Does 86 divide 1186171?
False
Does 161 divide 182903?
False
Is 15666 a multiple of 42?
True
Is 88 a factor of 408584?
True
Does 83 divide 34150?
False
Does 96 divide 358425?
False
Is 49350 a multiple of 15?
True
Does 3 divide 85857?
True
Is 96 a factor of 596928?
True
Does 220 divide 3619715?
False
Is 1267175 a multiple of 91?
True
Is 10 a factor of 1042355?
False
Is 398084 a multiple of 200?
False
Is 6798 a multiple of 5?
False
Does 17 divide 6472449?
False
Is 1430858 a multiple of 13?
True
Is 118647 a multiple of 8?
False
Is 5952042 a multiple of 81?
True
Does 183 divide 1685105?
False
Does 16 divide 172976?
True
Is 3036635 a multiple of 35?
True
Is 38 a factor of 6574?
True
Does 97 divide 141152?
False
Is 23 a factor of 102856?
True
Is 2723072 a multiple of 5?
False
Is 4224575 a multiple of 154?
False
Does 74 divide 136530?
True
Is 104 a factor of 9256?
True
Does 95 divide 849823?
False
Is 218 a factor of 958328?
True
Is 27 a factor of 148200?
False
Is 90 a factor of 18000?
True
Does 385 divide 1712865?
True
Does 93 divide 1425504?
True
Is 2362353 a multiple of 161?
True
Is 1916586 a multiple of 882?
True
Does 173 divide 4044664?
False
Does 96 divide 12899520?
True
Does 37 divide 171088?
True
Does 33 divide 3653026?
False
Does 397 divide 14296?
False
Is 2093546 a multiple of 7?
True
Is 1769580 a multiple of 14?
False
Is 156468 a multiple of 52?
True
Does 82 divide 2660162?
True
Is 300950 a multiple of 23?
False
Does 56 divide 6394809?
False
Is 608552 a multiple of 7?
True
Is 15 a factor of 7455?
True
Is 744983 a multiple of 77?
False
Is 347906 a multiple of 73?
False
Does 89 divide 606357?
True
Is 105643 a multiple of 6?
False
Is 167 a factor of 50434?
True
Is 113 a factor of 1695113?
True
Is 337374 a multiple of 30?
False
Is 37 a factor of 77573?
False
Is 219 a factor of 18093780?
True
Is 1323569 a multiple of 901?
True
Does 19 divide 1795333?
False
Is 1042514 a multiple of 62?
False
Is 10461233 a multiple of 271?
False
Is 85017 a multiple of 12?
False
Is 44 a factor of 1183248?
True
Is 648144 a multiple of 27?
False
Does 400 divide 28762?
False
Is 31 a factor of 50714?
False
Does 1144 divide 3139842?
False
Is 34 a factor of 1201305?
False
Is 848715 a multiple of 685?
True
Does 34 divide 6921509?
False
Is 32 a factor of 5298043?
False
Is 24 a factor of 165408?
True
Is 35 a factor of 4588834?
False
Is 1349843 a multiple of 73?
True
Does 81 divide 1096641?
False
Is 12 a factor of 438316?
False
Is 682 a factor of 459931?
False
Is 9 a factor of 818144?
False
Is 11791638 a multiple of 6?
True
Is 627776 a multiple of 329?
False
Is 153 a factor of 15800004?
True
Does 12 divide 127836?
True
Is 9 a factor of 77231?
False
Is 5 a factor of 140?
True
Is 141 a factor of 2471448?
True
Is 30315038 a multiple of 2712?
False
Does 24 divide 14688?
True
Does 17 divide 20468?
True
Is 274 a factor of 969877?
False
Is 31233 a multiple of 87?
True
Is 32 a factor of 3039635?
False
Is 709 a factor of 4275979?
True
Is 119 a factor of 2030034?
False
Is 4 a factor of 100692?
True
Does 9 divide 310860?
True
Is 16 a factor of 2107023?
False
Does 16 divide 2117184?
True
Does 242 divide 220463?
False
Is 2365649 a multiple of 250?
False
Does 12 divide 258166?
False
Does 14 divide 377552?
True
Is 49476 a multiple of 42?
True
Does 22 divide 1810380?
True
Is 38 a factor of 717399?
False
Is 91635 a multiple of 149?
True
Is 2636405 a multiple of 23?
False
Does 233 divide 3728?
True
Is 28 a factor of 91131?
False
Is 2911557 a multiple of 45?
False
Does 35 divide 5264455?
True
Is 1177 a factor of 13301054?
False
Is 307 a factor of 204155?
True
Does 42 divide 92038?
False
Is 408480 a multiple of 111?
True
Is 158 a factor of 1626768?
True
Is 739 a factor of 1093430?
False
Does 80 divide 35791?
False
Is 111812 a multiple of 196?
False
Is 392087 a multiple of 36?
False
Is 178942 a multiple of 19?
True
Does 9 divide 7468299?
True
Is 274 a factor of 3037564?
True
Is 18 a factor of 383308?
False
Is 100 a factor of 1131100?
True
Does 14 divide 19516?
True
Is 1345617 a multiple of 7?
True
Does 35 divide 3922590?
True
Does 594 divide 3623994?
True
Is 361536 a multiple of 521?
False
Is 552428 a multiple of 240?
False
Is 195855 a multiple of 20?
False
Is 2668062 a multiple of 5?
False
Does 32 divide 25728?
True
Is 49234 a multiple of 42?
False
Does 12 divide 2537608?
False
Does 79 divide 770171?
True
Is 1144858 a multiple of 186?
False
Is 6 a factor of 273430?
False
Is 3517428 a multiple of 628?
True
Is 87 a factor of 1390719?
False
Is 37 a factor of 45994?
False
Is 3 a factor of 19450?
False
Is 22 a factor of 109450?
True
Does 3 divide 1603?
False
Is 24 a factor of 498600?
True
Does 90 divide 364310?
False
Is 16 a factor of 303992?
False
Does 36 divide 4207680?
True
Is 267 a factor of 502729?
False
Is 588 a factor of 802528?
False
Is 1767 a factor | {
"pile_set_name": "DM Mathematics"
} |
910 and 2134.
194
Calculate the greatest common factor of 297 and 1067.
11
Calculate the highest common factor of 3086 and 2.
2
What is the greatest common factor of 11523 and 207?
69
Calculate the highest common factor of 112 and 1358.
14
Calculate the highest common divisor of 19 and 247.
19
What is the greatest common divisor of 29 and 16501?
29
What is the highest common divisor of 3825 and 153?
153
Calculate the highest common factor of 5440 and 2240.
320
What is the highest common divisor of 216 and 384?
24
Calculate the greatest common factor of 60 and 1740.
60
Calculate the highest common divisor of 53 and 12879.
53
Calculate the highest common divisor of 365 and 73.
73
What is the highest common factor of 152 and 24?
8
Calculate the highest common divisor of 3888 and 80.
16
Calculate the highest common factor of 423 and 3.
3
What is the greatest common factor of 9731 and 111?
37
Calculate the highest common factor of 2669 and 17.
17
What is the greatest common factor of 10 and 290?
10
Calculate the greatest common divisor of 5616 and 6.
6
What is the greatest common divisor of 80 and 48?
16
What is the highest common divisor of 7062 and 330?
66
Calculate the greatest common factor of 225 and 90.
45
Calculate the greatest common factor of 57 and 361.
19
What is the greatest common divisor of 420 and 2625?
105
Calculate the greatest common factor of 4 and 10.
2
What is the highest common factor of 2291 and 87?
29
Calculate the greatest common factor of 60 and 1308.
12
Calculate the highest common divisor of 188 and 8.
4
Calculate the greatest common divisor of 9 and 1341.
9
What is the greatest common divisor of 78 and 18?
6
Calculate the greatest common divisor of 6439 and 1096.
137
What is the highest common divisor of 7 and 189?
7
Calculate the highest common factor of 3116 and 2.
2
Calculate the highest common divisor of 48 and 2224.
16
Calculate the highest common divisor of 1836 and 264.
12
What is the highest common divisor of 590 and 10?
10
What is the highest common divisor of 64 and 176?
16
What is the greatest common divisor of 15 and 215?
5
What is the greatest common factor of 1460 and 24?
4
What is the greatest common factor of 50 and 12275?
25
Calculate the highest common divisor of 1232 and 448.
112
What is the highest common factor of 50 and 430?
10
What is the highest common factor of 1045 and 55?
55
What is the highest common divisor of 195 and 90?
15
What is the highest common factor of 25 and 1175?
25
Calculate the highest common divisor of 1225 and 343.
49
Calculate the highest common divisor of 5 and 785.
5
Calculate the highest common factor of 88 and 33.
11
What is the greatest common factor of 2604 and 504?
84
Calculate the highest common factor of 3795 and 11.
11
Calculate the greatest common divisor of 96 and 216.
24
Calculate the greatest common divisor of 1352 and 8.
8
Calculate the greatest common divisor of 9500 and 19.
19
Calculate the highest common divisor of 85 and 68.
17
Calculate the highest common divisor of 713 and 31.
31
Calculate the highest common factor of 464 and 32.
16
Calculate the highest common divisor of 170 and 30.
10
Calculate the highest common divisor of 8304 and 432.
48
Calculate the highest common divisor of 2322 and 378.
54
What is the highest common divisor of 13 and 1?
1
What is the greatest common factor of 3 and 13?
1
What is the highest common factor of 18 and 99?
9
What is the greatest common factor of 963 and 162?
9
Calculate the highest common divisor of 4824 and 264.
24
Calculate the highest common divisor of 121 and 1111.
11
What is the highest common divisor of 31 and 19127?
31
What is the highest common divisor of 3887 and 23?
23
Calculate the greatest common divisor of 168 and 420.
84
Calculate the highest common factor of 32 and 256.
32
Calculate the highest common factor of 860 and 10.
10
Calculate the highest common factor of 840 and 42.
42
What is the greatest common divisor of 21 and 67368?
21
Calculate the greatest common factor of 63 and 54.
9
What is the greatest common divisor of 3589 and 74?
37
Calculate the greatest common factor of 7781 and 155.
31
Calculate the greatest common divisor of 230 and 170.
10
Calculate the greatest common divisor of 2336 and 32.
32
Calculate the greatest common factor of 12 and 276.
12
Calculate the highest common divisor of 3894 and 132.
66
Calculate the highest common divisor of 108 and 189.
27
What is the greatest common divisor of 85 and 2645?
5
What is the greatest common divisor of 2013 and 33?
33
Calculate the highest common divisor of 378 and 56.
14
Calculate the greatest common divisor of 1026 and 18.
18
What is the greatest common divisor of 24 and 84?
12
Calculate the greatest common divisor of 130 and 2080.
130
Calculate the highest common factor of 7125 and 50.
25
What is the greatest common factor of 16 and 176?
16
What is the greatest common factor of 2279 and 215?
43
What is the highest common divisor of 110 and 10285?
55
Calculate the highest common factor of 46 and 161.
23
What is the highest common divisor of 80 and 60?
20
What is the highest common factor of 29 and 42833?
29
Calculate the highest common factor of 8454 and 18.
6
Calculate the greatest common factor of 7935 and 60.
15
What is the greatest common factor of 299 and 46?
23
Calculate the highest common factor of 528 and 462.
66
What is the highest common factor of 13 and 208?
13
What is the highest common divisor of 273 and 143?
13
What is the highest common factor of 29268 and 18?
18
What is the highest common factor of 35 and 540?
5
Calculate the greatest common divisor of 14 and 161.
7
Calculate the greatest common divisor of 130 and 30.
10
What is the greatest common factor of 56 and 238?
14
Calculate the greatest common divisor of 665 and 105.
35
Calculate the greatest common divisor of 5047 and 49.
49
Calculate the highest common divisor of 1300 and 500.
100
What is the highest common divisor of 24 and 536?
8
What is the greatest common factor of 5 and 215?
5
What is the highest common divisor of 13 and 6188?
13
Calculate the greatest common divisor of 148 and 259.
37
Calculate the greatest common factor of 122 and 12322.
122
What is the greatest common factor of 45 and 30?
15
Calculate the highest common factor of 10404 and 459.
153
Calculate the highest common factor of 728 and 520.
104
Calculate the highest common factor of 851 and 111.
37
Calculate the greatest common divisor of 11 and 2629.
11
Calculate the highest common factor of 1820 and 35.
35
Calculate the greatest common factor of 12 and 960.
12
What is the greatest common divisor of 177 and 4779?
177
Calculate the highest common factor of 25 and 75.
25
Calculate the highest common divisor of 3573 and 36.
9
Calculate the highest common factor of 625 and 50.
25
Calculate the greatest common factor of 931 and 19.
19
What is the highest common divisor of 13 and 832?
13
What is the greatest common divisor of 198 and 180?
18
What is the greatest common divisor of 29 and 27028?
29
Calculate the highest common divisor of 26 and 4.
2
Calculate the greatest common divisor of 436 and 2725.
109
Calculate the greatest common divisor of 1479 and 51.
51
Calculate the greatest common factor of 100 and 40.
20
Calculate the highest common factor of 117 and 729.
9
Calculate the highest common divisor of 215 and 5.
5
Calculate the greatest common divisor of 160 and 8.
8
What is the highest common factor of 1872 and 72?
72
What is the greatest common factor of 29 and 667?
29
What is the highest common divisor of 10 and 4295?
5
What is the greatest common divisor of 13 and 793?
13
Calculate the highest common factor of 55 and 143.
11
Calculate the highest common divisor of 147 and 273.
21
Calculate the highest common divisor of 357 and 1632.
51
What is the greatest common factor of 111 and 1517?
37
Calculate the greatest common divisor of 240 and 6.
6
Calculate the highest common divisor of 36 and 3078.
18
What is the highest common divisor of 1280 and 140?
20
What is the greatest common divisor of 128 and 74?
2
What is the highest common factor of 507 and 117?
39
Calculate the greatest common factor of 49 and 70.
7
Calculate the greatest common factor of 51 and 27.
3
Calculate the highest common | {
"pile_set_name": "DM Mathematics"
} |
o?
6
Let o(w) be the second derivative of -w**5/4 - w**3/6 - w**2/2 + 3*w. Let u be o(-1). Suppose -u*k + 127 = -18. What is the tens digit of k?
2
Suppose 4*a + 7*f - 1648 = 5*f, 2*a - 832 = -5*f. What is the units digit of a?
1
Let x = -381 + 1115. What is the tens digit of x?
3
Let a(y) = 441*y - 1. Let u be a(1). Suppose -7*w + 4*w + 15 = 0, -u = -3*x + 5*w. Suppose 0 = n - 5, 4*n - n = 5*h - x. What is the tens digit of h?
3
Let o be (5/(-15))/(2/(-246)). Let q = o - 22. Let f = 34 + q. What is the units digit of f?
3
What is the units digit of 1078 - ((-60)/(-100))/(6/50)?
3
Let i(j) = -j + 11. Let g be i(7). Suppose -4*c + c - g*v + 324 = 0, 0 = -c - 2*v + 106. Suppose -3*f - f = 4*z - c, 0 = -4*f + 8. What is the units digit of z?
6
Suppose 0 = -4*m + 1 + 11, -4*m = -q - 12. Suppose 5*g + q*g - 75 = -3*b, -2*b = -5*g + 50. What is the units digit of g?
2
Suppose 2*c - 2428 = -3*c + 2*f, -4*c + 1956 = -5*f. What is the units digit of c?
4
What is the tens digit of 15/(-4)*(-832)/(-36)*-3?
6
Let y(r) = -5*r - 1 - 9*r + 1. Let h be y(-6). Suppose 0 = -3*c + 30 + h. What is the tens digit of c?
3
Let q = 33 - 5. Let u = 41 - q. Suppose -l + 0*l = -u. What is the tens digit of l?
1
Let m(p) = -214*p**3 + p**2 + 2*p + 1. What is the tens digit of m(-1)?
1
Suppose 0 = -2*g + 4*m + 3726, m + 7517 = 4*g + 6*m. What is the hundreds digit of g?
8
What is the units digit of 451 + (1 - -2) - 1?
3
What is the units digit of (-19860)/45*3/(-2)?
2
Suppose -14 = 3*g - g. Suppose -2*m = 3*o - 3 + 4, 18 = 3*m - 2*o. Let x = m - g. What is the tens digit of x?
1
Let p(o) = 3*o**3 - 18*o**2 + 2*o + 6. What is the hundreds digit of p(9)?
7
Let k(v) = -2*v - 5 - 4 + 1 + 2. Let a be k(-3). Suppose a = 3*g + 4*l + 2, l - 4*l + 9 = 4*g. What is the units digit of g?
6
Let k be (24/2)/(18/9). Let i(u) = -4*u**2 - 6*u - 7. Let q(o) = 5*o**2 + 7*o + 7. Let p(h) = k*i(h) + 5*q(h). What is the tens digit of p(-4)?
1
Let o(i) = 136*i + 2. Let p be o(1). Let g(y) = 3*y - 6. Let q be g(5). Suppose q*w = 2*l + 5*w - p, 0 = -5*l + 3*w + 380. What is the units digit of l?
9
Let s be 3 - (0 + 895)/5. Let j = s - -256. What is the units digit of j?
0
Suppose 0 = -10*z + 8*z + 716. Suppose 4*u - z = -78. What is the units digit of u?
0
Suppose 2*a + 63 + 61 = 0. Let g = -12 - a. What is the units digit of g?
0
Suppose -5*u + 131 = -539. Let m = 196 - u. Suppose m = 3*b - b. What is the units digit of b?
1
Suppose 7*y - 2*y + 3*k - 11748 = 0, -6*y + 14120 = -2*k. What is the units digit of y?
2
Let a(f) = -11*f - 3. Let p be a(-2). Suppose 5*y + p = -21. Let q = y - -34. What is the tens digit of q?
2
Let z(d) = -13*d - 15. Let a(c) = 13*c + 15. Let k(x) = -6*a(x) - 7*z(x). What is the units digit of k(4)?
7
Let v = 7 - 5. Let w(d) = 6*d - 2. Let b be w(v). Let t = 40 - b. What is the units digit of t?
0
Let o be ((-12)/(-30))/((-3)/75). Let w = o + 62. What is the tens digit of w?
5
Let u be ((-106)/(-4) - -1)/((-2)/(-28)). Suppose 0 = -3*q + 5*q + 3*v - u, 3*v = 4*q - 743. What is the units digit of q?
8
Suppose 0 = 4*z + 2*j - 26, j = -5*z + 14 + 14. Suppose z*r = -3*p - 5, -2*p - 5*r = 2*p. What is the units digit of p?
5
Let z(j) be the second derivative of 7*j**4/12 + j**2/2 + 11*j. What is the units digit of z(2)?
9
Let a(m) be the third derivative of m**5/30 - 11*m**4/24 - m**3/6 - 15*m**2. What is the tens digit of a(8)?
3
Let m(w) = w**3 + 17*w**2 - 9*w + 41. What is the units digit of m(-17)?
4
Let s(c) = 2*c**2 + 13*c + 14. Let a be 1*((-50)/5 - -1). What is the tens digit of s(a)?
5
Let m(d) = -4 - 9 - 54*d + 4*d**2 + 69*d. What is the units digit of m(-11)?
6
Let p(n) be the third derivative of n**5/60 - n**3/3 - 18*n**2. What is the units digit of p(10)?
8
Let i = 482 + -480. Suppose 5*h - 41 = 19. What is the units digit of (-1 - i)/(h/(-64))?
6
Let s(f) = 2*f**2 - 6*f**2 + 3*f**2 - 7*f + 7. Let p be s(-7). Let y = 1 + p. What is the units digit of y?
8
Suppose -8*b + 0*b + 3360 = 0. What is the hundreds digit of b?
4
Let x = 7 + -4. Let r = x + -4. Let u = r - -14. What is the units digit of u?
3
Let v = -1880 + 3587. What is the units digit of v?
7
Suppose -p = -5*f + 406, -p - 4*p + 2*f = 2145. Let u = p + 636. What is the tens digit of u?
0
Let n(w) = 4*w - 16. Let l be n(5). Suppose -l*p = -7*p - 126. Let d = -14 - p. What is the units digit of d?
8
Suppose -3*c = -4*c + 26. Suppose p - c = -p. What is the tens digit of p?
1
Suppose -35647 - 21253 = -50*n. What is the tens digit of n?
3
Let m be (-4)/10 - (-196)/(-10). Let n = m + 57. What is the units digit of n?
7
Suppose -3*d - 332 = -4*d. Suppose 4*i - 415 = -5*x, 3*x + x - 3*i - d = 0. What is the tens digit of x?
8
Let a(z) = -z**3 - 9*z**2 - 21*z - 13. Let i be a(-6). Suppose c = 3*d - 760, -2*d - i*c + 535 = -0*d. What is the units digit of d?
5
Let n = 102 - 60. Suppose -6*j - n = -9*j. Suppose -6 = -j*h + 11*h. What is the units digit of h?
2
Let y(l) = 5*l**2 - 7*l + 6. Let i be y(5). Suppose -3*v = v - i. What is the units digit of v?
4
Let r(j) = -j**3 + 5*j**2 - 2*j - 4. Let l be r(3). Let k = 53 - 53. What is the tens digit of l - ((-4)/2 + k)?
1
Let x(r) = -3*r**3 - 9*r**2 - 41*r - 46. What is the units digit of x(-11)?
9
Suppose 0 = -73*l + 109*l - 51660. What is the hundreds digit of l?
4
Let p(u) = 13*u**2 + 44*u + 581. What is the hundreds digit of p(-21)?
3
Suppose -30*z + 6468 = -6792. What is the tens digit of z?
4
Suppose 2*q + 2*o + 34 = 7*q, -5*q + o = -37. Suppose q*s + 2 = 6*s. Let b(k) = -30*k**3. What is the units digit of b(s)?
0
Suppose -9*y + 4*c - 508 = -12*y, 4*c = 3*y - 524. Let m be ((-3)/(-9))/(1/159). Suppose -m = -5*i + y. What is the units digit of i?
5
Let a = -65 + 152. Let s = a - 28. What is the units digit of s?
9
Suppose 0 = -4*y - 0*y - 4. Let v(d) = 0*d + 250 + 33*d**2 + 3*d - 248. What is the units digit of v(y)?
2
Suppose -664 = -0*b - 8*b. Let k = -52 + b. What is the units digit of k?
1
What is the units digit of 582*(2/4 - (11 - 11))?
1
Suppose 3*s - 2*g - 16 = -g, 3*g - 12 = -s. Let i(a) = 4*a**2 - 15*a + 5. What is the tens digit of i(s)?
5
Let a = -896 - -1332. What is the units digit of a?
6
Suppose -2*a + 3*p + 6922 = 0, 48*a = 52*a - 2*p - 13828. What is the hundreds digit of a?
4
Let r = 289 + -507. Let w = -99 - r. What is the hundreds digit of w?
1
Let w(f) = -f**2 + 9*f + 6. Let q(y) = -2*y + 3. Let m be q(-2). Let x be w(m). Suppose -x = 3*n - 4*n. What is the units digit of n?
0
Let v(x) = -23*x**2 + 1. Let h be v(-1). Suppose -w - 2*w = -3*c + 42, w - 3*c = -16. Let u = w - h. What is the units digit of u?
9
Let s be (-12)/(-9)*(-162)/(-12). Let a be (-1 - 1)/(12/s). What is the tens digit of (-351)/(-18) + a/2?
1
Let h(n) = 13*n + 62. What is the hundreds digit of h(17)?
2
Suppose -4*f + 126 = -434. What is the hundreds digit of f?
1
Suppose -2 = 5*d - 17. Suppose 0 = -d*h + 12*h - 702. What is the units digit of h?
8
Suppose 0 = -t - 6 + 9. Suppose 4*g + 795 = 5*z, -3*z - 4*g + t*g = -477. What is the units digit of z?
9
Suppose 5*q + 674 = 3*x - 1937, -4369 = -5*x + 4*q. What is the tens digit of x?
7
Let n(m) = m**2 - 18*m - 16. Let w be n(-14). Let j = w + -183. What is the tens digit of j?
4
Let i(m) = m**3 - m**2 - 11*m + 1. Let f be i(4). Suppose 0 = c - 14. Suppose -n + c - f = 0. What is the units digit of n?
9
Let h = 767 - 249. What is the hundreds digit of h?
5
Let y(t) = 14*t**3 - 4*t**2 - 4*t + 39. What is the hundreds digit of y(3)?
3
Suppose 5*z - 27368 = -5*y - 2058, 0 = -y - 4*z + 5056. What is the units digit of y?
4
Suppose u - 6 = 5*v - 104, 5*u = 10. Suppose -4*a + 596 = 2*g, -7*g = -2*g + v. What is the units digit of a?
1
Suppose -2*s = -4*s + 4. Let i(x) = -x**3 + 11*x**2 - 7*x + 2. Let g be i(10). What is the units digit of g - (2 - -2) - s?
6
Let b be 3/9 + (-56)/(-12). Suppose 7 = -b*q - 68. Let w(s) = s**3 + 14*s**2 - 15*s + 3. What is the units digit of w(q)?
3
Let s(z) be the second derivative of -31*z**3/3 + z**2 + 7*z. What is the tens digit of s(-1)?
6
Let v(i) = -4*i. Let b = 11 - 14. Let r be v(b). Suppose r = -c + 39. What is the tens digit of c?
2
Suppose 10*c = 3829 + 2181. What is the hundreds digit of c?
6
Let z(m) = -9*m + 9. Let a be z(-5). Suppose -j = -3*j + a. Let g = j - 13. What is the | {
"pile_set_name": "DM Mathematics"
} |
2*sqrt(3)) + sqrt(9) + sqrt(9)*-2*-4))**2.
10944/289
Simplify (-3 + (sqrt(128) - (1 + sqrt(128) - sqrt(128))) + 4)**2 + (sqrt(128) + -2*sqrt(128) + -4 - (-2 + -2*sqrt(128)))**2 + -5.
-32*sqrt(2) + 255
Simplify (sqrt(256) + sqrt(256)*-2)/(sqrt(6)/sqrt(3)*5) - (sqrt(2) - (sqrt(32) + 0)**2 - sqrt(14)/(sqrt(35)/sqrt(5))).
-8*sqrt(2)/5 + 32
Simplify (((sqrt(209) + (sqrt(209) + -2*sqrt(209))*-3 + sqrt(209))*4)/((4*2*sqrt(66))/sqrt(6)))**2.
475/4
Simplify -1 + -1 + sqrt(11) + sqrt(11) + sqrt(11)*-1*6 + (-3*(sqrt(396) + 0 + sqrt(396) + sqrt(396)) + sqrt(396) - sqrt(396))**2.
-4*sqrt(11) + 32074
Simplify 0 + ((sqrt(144)/sqrt(3))/sqrt(2))/(-2*sqrt(48)).
-sqrt(2)/4
Simplify ((sqrt(30) + sqrt(270))/sqrt(10))**2*6 + sqrt(216)/sqrt(8) + sqrt(21)/(-1*sqrt(7)).
2*sqrt(3) + 288
Simplify sqrt(171)/(6*sqrt(144)) - (1*sqrt(19)*-2 - (sqrt(304) - (sqrt(304) + 1) - sqrt(19))).
-1 + 25*sqrt(19)/24
Simplify ((sqrt(792)*-2 + sqrt(792) + sqrt(792) + sqrt(792))/sqrt(11) - (-2 + sqrt(72) + 3))**2.
1
Simplify -3 + (2 + sqrt(1100)*3 - (sqrt(1100) + sqrt(1100) + (-5 + 5*sqrt(1100))**2)).
-27526 + 510*sqrt(11)
Simplify (sqrt(20)/(sqrt(16)/sqrt(4)) + 4 - -3*-1*sqrt(5)*-6)**2*-6.
-10926 - 912*sqrt(5)
Simplify ((sqrt(52) - 6*sqrt(208)) + (2*sqrt(468) - sqrt(468)) + -1)**2 + -5.
32*sqrt(13) + 3324
Simplify 5 + 0 + sqrt(11)*1 + 4 + (1 + -1 + sqrt(1331) + -1)**2.
-21*sqrt(11) + 1341
Simplify -2 + (sqrt(76) + -1*(sqrt(76) + 3*sqrt(76)))/(4*sqrt(144) + sqrt(144)).
-2 - sqrt(19)/10
Simplify (3*(sqrt(99)*2 + sqrt(99))*-5)/(4*sqrt(18)/(sqrt(6)/sqrt(3))).
-45*sqrt(11)/4
Simplify 1*sqrt(143)/(sqrt(121)/(5*sqrt(11) + sqrt(11)))*5.
30*sqrt(13)
Simplify (sqrt(768)*-1 + -4 + 4*sqrt(768)*-2)**2.
1152*sqrt(3) + 62224
Simplify (-1*(1 + 5 + 3*sqrt(8) + 5 + 4))**2.
180*sqrt(2) + 297
Simplify 1*((sqrt(153) - 3*sqrt(153)) + -3) - (sqrt(153) + (0 + sqrt(153))*-2 + -2 + (sqrt(153) + 0 - sqrt(153)) + sqrt(153)).
-6*sqrt(17) - 1
Simplify -1 + (sqrt(539) + -1)**2 + -3 - -3*(sqrt(539) + sqrt(539) + (sqrt(539) - ((4 + 2*sqrt(539) + sqrt(539))**2 - sqrt(539)))).
-14065 - 434*sqrt(11)
Simplify ((sqrt(84)/sqrt(4)*5*5)/((sqrt(140) + sqrt(35) + sqrt(35))/sqrt(5) + sqrt(7) - 4*sqrt(7)*1))**2.
1875
Simplify (-4 + -5 + sqrt(77)/((sqrt(110) + sqrt(110) + sqrt(110)*1 + sqrt(110))/sqrt(10)))**2.
-9*sqrt(7)/2 + 1303/16
Simplify -2 + -6*(sqrt(7) + sqrt(49)/sqrt(28) + 6*(sqrt(7) + sqrt(28)/sqrt(4)))**2 + -3.
-15319/2
Simplify (-2*2*sqrt(104))/((sqrt(32)*-1)/sqrt(4)) + -1.
-1 + 4*sqrt(13)
Simplify (sqrt(20) + sqrt(320)*5 + -2)**2 + 0.
-168*sqrt(5) + 8824
Simplify (-3*(sqrt(112) + 0)*-6 + -4)**2.
-576*sqrt(7) + 36304
Simplify ((sqrt(891) + (1 + sqrt(891))*2 - sqrt(891)) + -3 - (sqrt(2200) + (sqrt(2200) - sqrt(2200)*1) + sqrt(2200) + sqrt(2200))/(sqrt(6)/sqrt(3)*-6))**2.
-46*sqrt(11) + 5820
Simplify (-5*sqrt(57)/sqrt(3))**2*-5*5 - ((sqrt(152)/(sqrt(24)/sqrt(3)) - (2 + sqrt(57)/sqrt(3))) + 5).
-11878
Simplify -5 + 3 + sqrt(147) + (sqrt(147) + -1)*2 + 5*(-1 + sqrt(147)).
-9 + 56*sqrt(3)
Simplify (-5 + -5 + 0 + sqrt(1300) + 1*sqrt(1300)*6 + 1 + (sqrt(1300) - (0 + sqrt(1300))))**2.
-1260*sqrt(13) + 63781
Simplify (((sqrt(2106) + sqrt(2106)*2 - sqrt(2106) - sqrt(2106)) + sqrt(2106))*6)/(sqrt(18) + (sqrt(1800) - 3*sqrt(1800))).
-36*sqrt(13)/19
Simplify (6*(1 + sqrt(448)) + sqrt(448) + 1*(sqrt(448) + (sqrt(448)*2 - sqrt(448))) + -3*(sqrt(448) + -1 + sqrt(448))*-4 + 2)**2.
-2112*sqrt(7) + 487888
Simplify -3*(sqrt(68) + sqrt(68)*-1*6) + ((sqrt(68) - (1 + sqrt(68) + -4)) + sqrt(68))**2 + sqrt(68) + 2.
79 + 44*sqrt(17)
Simplify -5 + 4 + -4 + sqrt(336)/(sqrt(7) + sqrt(28) - sqrt(7)).
-5 + 2*sqrt(3)
Simplify -5 + (0 + sqrt(2299))**2 + sqrt(2299) + (sqrt(2299) + 1 - sqrt(2299))*1 - ((sqrt(2299) + -2)*1 + sqrt(2299) + (sqrt(2299)*-2 + 3 - sqrt(2299))**2).
-18403 + 187*sqrt(19)
Simplify (sqrt(204)/(sqrt(600)/sqrt(2)) + sqrt(833) + 1 + 3)**2.
288*sqrt(17)/5 + 22432/25
Simplify (sqrt(495) + -2*sqrt(495) - sqrt(55))/(sqrt(5) + sqrt(245)*5)*2.
-2*sqrt(11)/9
Simplify (5*(-1 + sqrt(180) + 1 + (sqrt(180) - (sqrt(180) + 2)) + 5 + 1))**2.
1200*sqrt(5) + 4900
Simplify sqrt(4)/sqrt(2) + 5 + ((-1*sqrt(20))/sqrt(10) - sqrt(2)) + (5 + (sqrt(72) + 3 + sqrt(72) - sqrt(72)))**2.
95*sqrt(2) + 141
Simplify (sqrt(156) - (sqrt(156) - 4*sqrt(156))*4)/(sqrt(972)*-1) + -4.
-13*sqrt(13)/9 - 4
Simplify 2*sqrt(260)/sqrt(45) + 2.
2 + 4*sqrt(13)/3
Simplify (-6*-3*sqrt(10))/(sqrt(200)*5 + sqrt(200)).
3*sqrt(5)/10
Simplify ((3*(5 + sqrt(19)) - (2 + sqrt(475))) + 5)**2*2.
-144*sqrt(19) + 800
Simplify ((-5 + 4 + (sqrt(1331) - 2*sqrt(1331)*-2))*-4)**2*-4.
-2129664 + 7040*sqrt(11)
Simplify -6*(-2*(-2*((sqrt(425)*1 - sqrt(425)) + sqrt(425)) + (sqrt(425)*1 + -1 - sqrt(425))))**2.
-40824 - 480*sqrt(17)
Simplify ((sqrt(700) + 1 + sqrt(700))*6 + (-2*sqrt(504) + sqrt(504) - sqrt(504))/sqrt(8))**2*2.
2736*sqrt(7) + 182016
Simplify 4*(1*(sqrt(30) - sqrt(30)*-1))/(-2*-1*sqrt(6) - sqrt(6))*2.
16*sqrt(5)
Simplify (-2 + (sqrt(54)/sqrt(2)*-1 - (3 + sqrt(108)/sqrt(4))))**2.
60*sqrt(3) + 133
Simplify 2*4*(sqrt(11) + (sqrt(110) + sqrt(110)*-1)/sqrt(10))**2 - (-1 + sqrt(891)*-1)*-1.
-9*sqrt(11) + 87
Simplify ((sqrt(525) + sqrt(525)*1 - 1*sqrt(2541))/((sqrt(7) + (6*(sqrt(7) - sqrt(7)*1) - sqrt(7)) - sqrt(7)) + sqrt(7) - sqrt(1008)*1))**2.
1/48
Simplify (((sqrt(7) + sqrt(28)/(sqrt(20)/sqrt(5)))*5)**2 - ((sqrt(7) + (2*sqrt(7)*-3 - sqrt(7))**2 - sqrt(7)) + (-1*sqrt(448))**2 + sqrt(448)))*2.
-182 - 16*sqrt(7)
Simplify (-4 + -4*sqrt(320)*-1)*5.
-20 + 160*sqrt(5)
Simplify -5*(-3 + (sqrt(2736) - -4*(-2 + sqrt(2736))) + 0).
-300*sqrt(19) + 55
Simplify (5*(((sqrt(102) - (sqrt(102) + 1*sqrt(102))) + sqrt(102))*-4 - sqrt(102)))/(6*-1*sqrt(6)*-5) + 5.
-sqrt(17)/6 + 5
Simplify 1*sqrt(68) + 4 - sqrt(68) - (sqrt(68) - (4 + sqrt(68) + -4)).
4
Simplify sqrt(1872)*-3*2 + ((sqrt(1573) + 2)**2 + 1 - sqrt(1573)).
-39*sqrt(13) + 1578
Simplify (-3 + -1*sqrt(891) + -5 + 0 + 4)**2.
72*sqrt(11) + 907
Simplify -6*sqrt(68)*-2 + 4 - (-4 + -1 + sqrt(68) - sqrt(68)*2*-5)**2.
-8249 + 244*sqrt(17)
Simplify ((-1*sqrt(228)*-2 - sqrt(228))*-2)/(sqrt(48)/sqrt(4)*-1 + sqrt(768)*-2).
2*sqrt(19)/17
Simplify ((-4*sqrt(216) + (sqrt(72) + (sqrt(72) - sqrt(72)*-2) - sqrt(72))/sqrt(3))/(4*(2*sqrt(72) + sqrt(72))))**2.
3/16
Simplify 3*(-3*sqrt(19) + 4 - sqrt(19)) - (-6*sqrt(304) + 4).
8 + 12*sqrt(19)
Simplify sqrt(35)/(sqrt(7) - sqrt(28)*4) + 2 + (sqrt(1225) - sqrt(1225)*2)/((sqrt(10)/sqrt(2) + sqrt(5))*2 - sqrt(5)).
-52*sqrt(5)/21 + 2
Simplify ((sqrt(1008) + -2*sqrt(1008))*6 + sqrt(1008) + 2 + sqrt(1008)*-2)**2 - -5*((sqrt(63) + 0)**2 + 3).
-336*sqrt(7) + 49726
Simplify (3*(-1 + sqrt(68) - sqrt(68)) + 5)**2 - (3 + -3*sqrt(68) + 2).
-1 + 6*sqrt(17)
Simplify (sqrt(180)*-3 - sqrt(180)) + 3 + (sqrt(20)*-1)**2*1.
-24*sqrt(5) + 23
Simplify 5*sqrt(104)/sqrt(2) + 3*(sqrt(13) + (sqrt(13) - sqrt(52)*6)).
-20*sqrt(13)
Simplify (sqrt(96)*-2 + -2*sqrt(48)/sqrt(2))/((-1*sqrt(1152) - sqrt(1152))*3).
sqrt(3)/12
Simplify -6*(sqrt(2736)*-1 - (sqrt(304) + sqrt(304)*-1)**2 - (1 + (sqrt(190)*1)/sqrt(10))).
6 + 78*sqrt(19)
Simplify (-3*(-3 + sqrt(35)/(sqrt(7) - (sqrt(7) + -5*sqrt(28) + sqrt(7))) + 3) + -4)**2.
8*sqrt(5)/3 + 149/9
Simplify (1*sqrt(153)/(3*sqrt(9)) + 6*(3*sqrt(17) - sqrt(17) - sqrt(17))*2)**2.
23273/9
Simplify 2*sqrt(2)*2*-3 + -1 + ((sqrt(24)/sqrt(3))/sqrt(4))**2.
-12*sqrt(2) + 1
Simplify -4 + -2 + sqrt(12) - -4*sqrt(27)*-6.
-70*sqrt(3) - 6
Simplify -3*(1*sqrt(2057))**2 + (-3*sqrt(17)*-2 - -2*sqrt(1377)).
-6171 + 24*sqrt(17)
Simplify -1*(5*(5 + sqrt(99)*1))**2.
-3100 - 750*sqrt(11)
Simplify ((-1*-1*sqrt(114)*-1)/(sqrt(384) - sqrt(384)*-2*2))**2.
19/1600
Simplify (-6*(sqrt(192)*-1)**2 - (sqrt(192) + 4 + (sqrt(192) - (-1 + sqrt(192)))))*-4.
32*sqrt(3) + 4628
Simplify 1 + (sqrt(77)/(sqrt(1331) - (sqrt(1331) + (sqrt(1331) - 5*sqrt(1331)))) - (2 + sqrt(77)/(sqrt(44)/sqrt(4)))).
-43*sqrt(7)/44 - 1
Simplify (-1 + sqrt(176) + 1 - sqrt(176))**2 - (2*sqrt(539))**2*-5.
10780
Simplify 2*(sqrt(76) + (sqrt(76) + -1*sqrt(76)*3 - sqrt(76) - sqrt(76)))/(-5*sqrt(4)*-3).
-2*sqrt(19)/5
Simplify ((sqrt(660)/(sqrt(11) + sqrt(55)/sqrt(5)))/sqrt(12) - (sqrt(315)/(sqrt(42)/sqrt(6)))/sqrt(9))**2.
5/4
Simplify ((sqrt(110) + sqrt(110)*4 - sqrt(110))*2*4)/(((sqrt(40) - sqrt(40)*1) + sqrt(10))*2).
16*sqrt(11)
Simplify (5*(sqrt(39) - sqrt(156)*3))/(sqrt(24)/(-3*sqrt( | {
"pile_set_name": "DM Mathematics"
} |
5
Let u be 3 + 2 + -2 + 2. Solve u*n = 15, -5 = -28*f + 24*f + 5*n for f.
5
Let x = 727 + -722. Solve -z + 1 = f + 5, x*z = 5*f - 10 for f.
-1
Suppose -33*q + 39 - 39 = 0. Solve 18 = d + 3*u, q = 3*d + 2*d + 5*u - 40 for d.
3
Suppose 3*j - 13 = 4*i, -3 = -4*j + i + 10. Solve 5*q = -3*r + 16 + 12, -j*q = 3*r - 18 for q.
5
Suppose -12*s = -3*s + 864. Let r be ((-48)/s)/(((-2)/(-28))/1). Solve q + k = r, -5*k + 18 - 3 = q for q.
5
Suppose 16*t - 14*t = 3*d + 773, d - 2*t = -263. Let j be (-10 + d/(-25))/((-2)/(-20)). Solve v + j*v + 26 = -5*q, 8 = -2*q for v.
-2
Suppose -3*z + 2*y - 3*y + 35 = 0, -3*z - 3*y + 27 = 0. Let q be ((-48)/(-80))/(z/10 - 1). Solve -4*o + q*a - 4 = -2*a, 0 = -4*o + a + 8 for o.
3
Let a(f) = f**3 + 26*f**2 - 50*f + 170. Let r be a(-28). Suppose 10*h - 33 - 87 = 0. Solve 0 = 4*d + 4*u + 20, -r*u - h = -d - 2 for d.
0
Suppose x - 6 = -z, -3*x - 2*z + 10 = -z. Solve 10 - 45 = -5*o - 2*y, -x*y = 4*o - 30 for o.
5
Let q = -4975 - -5015. Solve -3*o - 13 = -3*a - q, -4 = -o for a.
-5
Let c be 2/4 + (-1)/2. Suppose -12891 + 12879 = -4*y. Solve c = q, 2*x - q = -y - 5 for x.
-4
Let c = 25506 + -25501. Solve -5*w + 6*t - 3 = 10*t, c*w - t + 18 = 0 for w.
-3
Suppose 150 = 38*c + 12*c. Solve c*u - 2 - 4 = f, -3*f + 2 = u for u.
2
Let v(r) = 6*r + 5. Let q be v(3). Let j(m) = -m**2 - 3*m + 19. Let s be j(-6). Let h be 1/((-4 - -3)*s) - -4. Solve -2*a + 7 = 5*o, q = -2*a + 2*o + h*o for a.
-4
Let j(g) = -g + 8. Let k be j(8). Suppose u + k + 3 = 3*q, 8 = -2*q + 4*u. Suppose 612*o = 634*o - 44. Solve 3*t - q*a = 5, 0*a = -o*t + 3*a for t.
3
Suppose -3*i = 2*p - 8, -277 = -5*p - 257. Solve 0 = 2*o + 8, 5*z + i*z - 4*o - 6 = 0 for z.
-2
Let d(a) = -2*a**3 - 14*a**2 - 15*a + 18. Let o be d(-6). Solve 4*y = -2*k - 28 + o, 3*y = 5*k + 32 for k.
-4
Let g(j) = -20*j - 99. Let t be g(-5). Let x(o) = 9 + 0*o**3 + 4 + 2*o**3 - o**3. Let u be x(0). Solve -4*i = -d - u, -2*d + t + 5 = 0 for i.
4
Let q(l) = -l**3 + 10*l**2 - 7*l - 70. Let z be q(8). Solve z*h + h = -3*o - 15, 13 = -5*h - o for h.
-2
Suppose -3*l - 140 + 194 = 0. Let a be 78/l + 2*(-3)/18. Let i = -4 + 8. Solve -2*g - 12 = b - i*g, -4*b = a*g - 12 for b.
-2
Let u = -89 + 93. Suppose u*z - 4 = -3*t - 0, z + 16 = -5*t. Suppose 4*y = -3*j - 4, z = 2*y - 3*y. Solve 4*q + 4 = -4*h, -j = 4*q + 2*h + 3*h for q.
-1
Let z = 60 - 137. Let i = 50 + z. Let u be (-5)/20 - i/12. Solve -5*v = -a - u*a - 5, 0 = 4*a for v.
1
Let y(m) = -23*m - 270. Let x be y(-12). Suppose 41*v + x*v = 282. Solve -c + 3*b = -v, 3*b + 11 = 4*c + 5 for c.
0
Let w be (-28)/6*27/12*6. Let r = 65 + w. Solve -2*o = -r*y + 3 - 5, 5*o - y - 17 = 0 for o.
4
Let a be (13/(-52))/((-105)/(-36) - 3). Suppose -h - 6 = -8. Suppose 2*d + h = 4*b + 28, 0 = 2*d + 5*b + 10. Solve a*s - d = -4*o - o, -4*o - 3 = s for s.
5
Suppose -4*a = 3*t + 57, -2*a = 2*t - 4*a + 24. Let f be t/6*(-24)/20. Solve -i = -2*z - 2*z + 19, -f*z + 19 = 4*i for i.
1
Let w(y) = 5*y**2 - 21*y + 73. Let h(j) = j**2 + 1. Let r(l) = 6*h(l) - w(l). Let f be r(-24). Solve -4*b = f*t - 5, t - 2*t - 2*b = -7 for t.
-3
Let g = -13309 - -13342. Solve 0 = -29*j + g*j + 4*b + 16, 0 = -2*j + 2*b for j.
-2
Suppose 2*u - 4*u + 28 = 2*q, -2*u + 43 = -q. Solve 3*w + 3*y - 13 + 22 = 0, 2*y = 3*w + u for w.
-5
Let k(b) = -b**3 + 6*b**2 - 19*b + 78. Let h be k(5). Solve h = -4*p, 3*p = 5*c + 2*p + 23 for c.
-5
Suppose 2*h - 7145 = 3*h - 7148. Solve -h*d - 4 = w, -w = -4*d - 4*w + 3 for d.
-3
Suppose 238*c - 257*c = 0. Solve -3*k - 2*w + 82 - 90 = c, 4*k + 5*w = -20 for k.
0
Suppose -58*b - 325 - 197 = 0. Let h be -7 - -3 - b - 1. Solve 0 = -q - 3, 13 = h*n + 3*q + 2 for n.
5
Let g = 105 + -100. Solve -3*q - 5*r = 0, 0*q + 5*r = -g*q for q.
0
Let k(a) = a**2 + 2*a + 3. Let i be k(0). Suppose 10*d = i*d + 84. Suppose 3*j = d - 0. Solve 0 = -9*t + 4*t + s - 12, t - j = -3*s for t.
-2
Let a = 28 + 13. Let v be 14 + (-24)/(-4) + -2*(-68)/(-8). Solve -4*q - a = q - 4*i, -1 = -v*q - 4*i for q.
-5
Let v(q) = -q**3 + 3*q**2 + 17. Let m be v(4). Let z be (-2 + 0 - m)*32/(-16). Solve 0 = -4*h - f - 2, 4*h - 4*f = z*h + 8 for h.
0
Suppose -19*j + 82 = 9*j + 13*j. Solve 5*h + 5*u = 0, -j*u = -14*h + 12*h - 8 for h.
-2
Suppose 11*o = 2*o + 126. Suppose -o*h + 33*h = 38. Solve -25 = -5*z + i - 0*i, -h = -3*z - 2*i for z.
4
Suppose -1232 + 1248 = -v - 5*p, 5*p = -2*v - 12. Suppose 0*m = -2*m + 48. Solve n = 2*b + 14, -2*n + v*b = -n - m for n.
4
Suppose -784 = -5*u - 759. Solve -2*y = 3*z + 3*y - 27, u*z + 4*y = 32 for z.
4
Let x be (-3477)/133 + (-1)/(-7). Let c = x - -41. Let f be (-2)/((-4)/2)*c/5. Solve -3*u - 4*i = 1, -f*u + 2*i - 13 = -0 for u.
-3
Let m(h) = -49*h - 1025. Let s be m(-21). Solve 4*d + 6 = t, -2 + s = -d for t.
-2
Let g = -9754 + 9763. Solve 16*b + 4*x = 14*b - 6, 4*b - g = -x for b.
3
Let c be ((8 - 6)/2)/((-2)/(-12)). Suppose 0 = -5*t + 9 + c. Solve -3*j = -3*x - t, -3 = 4*x - 2*j - 5 for x.
2
Let b = 11180 + -11176. Solve z - 3 = k, b = 4*z - 271*k + 275*k for z.
2
Let n = -7167 + 7172. Solve -n*o - 46*b + 49*b = -42, 3*o = 4*b + 34 for o.
6
Suppose 4*b = -9 - 7, -4*r - 4*b = 24. Let n be 42*r/(-3) + -2. Suppose -412*f = -230*f - 1820. Solve a - 5*g - n = 0, 5*g + f = 3*g for a.
1
Let u(o) = -o**2 - 16*o - 54. Let t be ((-2)/(-4))/((-178)/(-36) + -5). Let g be u(t). Solve 5*n = -4*c + g, 0 = -c - 2*c + n - 17 for c.
-4
Let k = 3790 + -3734. Solve k = r + 4*m + 58, 5*r + 10 = m for r.
-2
Suppose -108*l - 19 = -127*l. Solve -v - l = 3*x, -4*x + v - 23 = 5*x for x.
-2
Suppose -4*i = 3*z + 6, 4*z + 17 - 28 = i. Let t(m) = m**3 + 7*m**2 - 8*m + 4. Let q be t(-8). Solve 11 = 3*n + z*b - 1, -b = n - q for n.
4
Let x(t) be the first derivative of -16 + 1/3*t**3 + 5/2*t**2 + 8*t. Let l be x(-4). Solve 0 = w - 5*k + 27, -3*k = -4*w - l*k - 3 for w.
-2
Let q(m) = 29*m**2 - 108*m - 29. Let k be q(4). Let u = 8 - -2. Suppose 0 = -26*f + 31*f - 20. Solve -f*g = 3*a - u, 13 = a + 4*a + k*g for a.
2
Let j(c) = c**3 - 16*c**2 - 54*c - 49. Let z be j(19). Let n be 6/(-2)*(-1)/3. Let r = 1 - n. Solve r = 2*p - 3*p + 4*a - z, -4*p = 4*a - 8 for p.
0
Let z = 110 - 121. Let g(m) = m**2 - 7*m - 198. Let v be g(z). Solve v = 2*t - 1 - 5, 0 = -w - t for w.
-3
Let x = -23 - -27. Suppose -2*o - 11*z = -8*z - 40, 3*z = o - 20. Solve 5*y + 15 = b + 5, x*b = -o for y.
-3
Let b be 70*7/(-28)*(-6)/21. Solve -4*g = h + 6, 5*g + 18 - 3 = -b*h for h.
-2
Suppose -5*o + 0*o + 10 = 0. Suppose 1 = -x + o, 2*x - 4 = -u. Let r be -5*(-5)/(-125) - 810/(-50). Solve 3 = -j - l, u*l = -2*l - r for j.
1
Let x be (3 + -7)/((-12)/9). Suppose l - 3*t - 11 = 0, -2*l + 2*t + x*t = -20. Solve 2*r = l*u - 3*r + 45, 4*r = -u + 16 for u.
-4
Let t = 13057 + -13052. Solve 0 = 5*u + t*j, -2*u - 25 = 5*j - 16 for u.
3
Let q be 1/(1/25*5). Suppose 3*m + 13 = -5*r, q*r + 37 = m + 2*m. Solve m*b - 3 = -3*h - 2, 5*h - 9 = -3*b for h.
3
Suppose d + w = 180, -5*d - 3*w + 4*w + 906 = 0. Let k = -176 + d. Solve 0 = -m - 0*n - 2*n + k, 2*m - 5*n = -8 for m.
1
Let h = -271 + 271. Suppose 6*q - 2*d - 68 = 4*q, -4*q - 5*d + 100 = 0. Solve 5*z + 10*p = 5*p + q, -4*z + p + 9 = h for z.
3
Let y be (81/(-21))/(3/(-21)). Suppose -20 = -o + y*f - 22*f, -2*o - 2*f + 4 = 0. Solve -s + o = -3*r + 24, 0 = s + 2*r - 6 for s.
-4
Suppose -174*d - 178*d + 606 = -49*d. Solve -d*c = -4*k + 6, 0 = 5*c + 31*k - 28*k - 50 for c.
7
Let u = 11068 + -11063. Solve u*w + 2 = 9*w - t, -3*w - 5*t - 10 = 0 for w.
0
Suppose -131*r + 120*r - 55 = 0. Let c be (-6)/21 - r/(35/2). Solve 4*u = -f + 6*f - 7, c = -u + 2*f - 4 for u.
2
Suppose -2*p = -u - 646, 7*p - 4*p - 2*u = 969. Suppose 5 = -p*c + 324*c. Solve 2*m + x = 4*m - 10, -2*x = -c*m + 24 for m.
4
Suppose -5*v - 5*x + 230 = 0, 5*v + 4*x = 108 + 122. Suppose -9*l + v - 19 = 0. Solve 3 = -l*w, 5*a - 4*w - 7 = 7 for a.
2
Let i = 270 + -63. Let r = i + -191. Let v = 6 - 1. Solve 2*x + 2*x - v*d = -r, 19 = -x + 5*d for x.
1
Suppose 119*n - 9 = 116*n + 3*p, 1 = p. Solve -7*w + n = -10*w + b, 1 = 3*w - 2*b for w.
-3
Let i(a) = -a**2 - 21*a - 48. Let j be i(-15). Suppose -10*w + 24*w = j. Solve -w*q - 6 = u + 12, 1 = 3*u - 2*q for u.
-3
Let q(h) = -21*h**2 + 15*h**2 - 6*h - 2 + 14 + 17*h**2 - 2*h**3. Let t be q(5). Solve -2*r + t*r + 40 = 5*f, -2*r - 26 = -4*f for f.
5
Suppose -5584*m = -5312*m - 4080. Let z be 4*-1 + | {
"pile_set_name": "DM Mathematics"
} |
0 = 5*w + 3*j + 18, 0*j + 3*j = -4*w - 18. What is the biggest value in -2, -0.3, w, u?
u
Let n = 9 - 9.5. Let r(o) = -21*o - 45. Let d be r(7). Let g = -1732/9 - d. What is the third biggest value in -1/25, g, n, -2?
n
Let n = -337 + 336.93. What is the biggest value in n, -0.1, 0.2, 2, -4/11?
2
Let g be ((-48)/(-1872))/((-4)/(-12)). Which is the second smallest value? (a) -0.21 (b) g (c) 0.04 (d) -4
a
Let h = -18520 + 18509. Which is the third smallest value? (a) -53/9 (b) 2 (c) h (d) 0.3
d
Let k = 2.3 + -13.3. Let g = -10.8 - k. Let r = 3.5 - 3.2. Which is the second smallest value? (a) r (b) -0.2 (c) -2 (d) g
b
Let j = 5.61 + -10.2. Let g = -4.69 - j. Which is the fourth biggest value? (a) -0.41 (b) g (c) 2/5 (d) -5
d
Let l = -0.09507 - -0.09507. Which is the smallest value? (a) l (b) -0.5 (c) -407
c
Let r be (-50)/(-6) + 3/((-9)/24). Which is the fourth smallest value? (a) r (b) 2 (c) -6 (d) 7
d
Let h be -7 - (-29)/(580/152). Which is the smallest value? (a) h (b) -0.2 (c) 677 (d) 2/5
b
Let j be ((1 - 5) + 3)*3/(-5). What is the fourth smallest value in -2, j, -1, -1/4?
j
Let w = 16182 + -16185. Let x = -0.24 - -0.2. Let y = -4.04 - x. Which is the second smallest value? (a) w (b) y (c) 0
a
Let w(v) = -v**2 + 4*v - 1. Let z be w(3). Suppose -s - 40 = -6*s. Let t be z/s - 30/(-40). Which is the smallest value? (a) -0.3 (b) 0.3 (c) t
a
Let s = -86881/14 + 6199. Let i = -51/7 - s. Let u = -1.8 - -2. What is the smallest value in 2, i, u?
i
Let l = 1.1 + -1. Let i = -57137 + 57137.04. Which is the second smallest value? (a) l (b) i (c) -1/3 (d) -4
c
Suppose -f - 197 - 1059 = 2*s, 3*f - 1893 = 3*s. Let n = s - -634. What is the biggest value in n, 2, -5/4?
n
Let z = -5152 - -5152.31. Which is the fourth biggest value? (a) 5 (b) 0.5 (c) -2 (d) z
c
Suppose -3*h - 10 = -79*p + 78*p, 0 = 2*p - 3*h - 5. Let i = -3.4 - -3.334. Let s = i - -0.166. Which is the third smallest value? (a) 1 (b) p (c) s
a
Suppose 13 = -2*s - d, -3*s - 37 = 18*d - 13*d. What is the smallest value in s, -46.3, 1?
-46.3
Suppose -8*g + 40 = -423*q + 427*q, 5*q = -5*g + 25. Let w = -40.31 - 0.69. What is the second biggest value in 1, w, g?
1
Let j = -59 + 52. Let a = 1.88 + -1.78. What is the fourth smallest value in a, j, -1/5, -5?
a
Let j be (-31 + -1 + 0)*(-2 + 1). Let o = -4377 + 4372. What is the third smallest value in o, j, -1/7, -3/4?
-1/7
Let l = -49.1 - 298.9. Let w = 348.4 + l. Let i be ((-4)/(-30))/(1/10). What is the third biggest value in w, i, 2?
w
Let y = -270.0467 + 270.1. Which is the third smallest value? (a) y (b) 0.2 (c) -0.5
b
Let y = -16.714 + 16.014. Let f = -8 + 0. Which is the smallest value? (a) f (b) y (c) -0.5 (d) 2/7
a
Let k = -674/11 - -675/11. Let u = -43/8 - -15/8. Which is the second biggest value? (a) k (b) u (c) 0
c
Let z = 905/4 + -227. Let v = 5.88 + 0.12. Which is the third smallest value? (a) 3 (b) z (c) v
c
Let q = -7/338 - -879/9802. Which is the third smallest value? (a) 4 (b) q (c) -10/9 (d) -1 (e) -1/3
e
Let t = -2 + -2. Let y be (-2)/(410/15 + 0). Let l = -50/123 - y. What is the second smallest value in 9, l, t?
l
Let n be 16/(-52)*(-785)/40. Let u = n - 72/13. What is the smallest value in -1/3, 4/5, u?
-1/3
Let d = 3062 + -3201.3. Let o = d - -139. What is the fourth smallest value in -3/4, o, 2, 0.03?
2
Let o(f) be the third derivative of f**6/120 + 11*f**5/60 - 13*f**4/12 + 7*f**3/3 - 142*f**2. Let l be o(-13). What is the biggest value in -1/4, l, 2, -0.1?
l
Let n be -1 + 4/(-22) - -1. Let k = 158818 - 158813. What is the biggest value in n, 1, k, -0.3?
k
Let n = 15.83 - 16.73. Which is the fourth smallest value? (a) 3 (b) -0.02 (c) n (d) 0.4
a
Let q = 972 - 971.95. Let w be 1/(-8) + 5/680. Which is the second biggest value? (a) q (b) w (c) 0.4 (d) -1/3
a
Let p = -17925.4 + 17922. What is the smallest value in -0.045, 1/3, p?
p
Let n be (4 + (9 - (24 + -10)))*-2*1. Let f = 3.7 + 0.3. What is the biggest value in f, -0.5, 0.01, n?
f
Let m be (-1044)/270 + (3 - -1). Let k = 7.5 - 8. Let i = k - -0.3. Which is the third smallest value? (a) 5 (b) m (c) i
a
Let w be (384/(-180) + 2*1)/(224/(-280)). Which is the third biggest value? (a) -0.05 (b) -5 (c) w
b
Let n = -3340 - -3320. Which is the third biggest value? (a) -6/11 (b) -8 (c) 1 (d) 2/5 (e) n
a
Suppose -1102*b = -1098*b + 2*v + 168, 2*b - 2*v = -66. Let j = 11 - 8. What is the second smallest value in b, j, 0.4, 3/5?
0.4
Let i be 1032/(-460)*4380/(-18). Let q = i + -546. What is the biggest value in 0, 3, 0.3, q?
3
Let p = -722 - -1581. Let q = p + -861. What is the third biggest value in 200, q, -0.2?
q
Let z be 1*-13 - (-2 - -1). Suppose 46116*y - 404 = 46217*y. What is the third biggest value in -1, 0, z, y?
y
Suppose -28 = -y + 4*z, 0 = -3*y - z + 47 - 41. What is the smallest value in -32/5, y, 1/7?
-32/5
Let u = -16350.62 + 16352. Which is the biggest value? (a) 10 (b) u (c) 1
a
Let t = -2038 + 2037.5. Let u = 211/40 - 39/8. What is the second smallest value in t, u, -0.4, 1?
-0.4
Let s = 363.03 + -367.03. Let g = -2 + 3. Which is the third smallest value? (a) s (b) g (c) -20
b
Let g = 112 + -133. Let a = 20.8 + g. What is the second smallest value in a, 0.2, 7?
0.2
Let x be (-33)/330*600/(-16). Which is the smallest value? (a) x (b) -1 (c) -1/3 (d) -0.06 (e) 8
b
Let s = -0.3 - -2. Let v = s - -14. Let a = -11.7 + v. What is the second biggest value in a, -4, 2?
2
Let y be (-2 + 1)*(1 + (-20)/35). Suppose 3 = p - 3. Let n(u) = -u**2 + 8*u - 8. Let t be n(p). Which is the second biggest value? (a) y (b) t (c) -2/3
a
Let x = 0.59047 + -240.76047. Let k = 240 + x. What is the second biggest value in -8, k, 5?
k
Let k = 18455 + -18453. Which is the second smallest value? (a) 5 (b) -0.07 (c) k (d) 68
c
Let z = 0.6 - -26.9. Let q = -514 + 487. Let n = q + z. What is the third biggest value in 0.4, 2/7, n, -2/17?
2/7
Let n be (1924/65)/(2/(-10)). Let r = 143 + n. What is the third biggest value in r, 7, 4?
r
Suppose -196 = 2*y - 164. Let g = 37/68 - 5/17. Which is the biggest value? (a) 0.5 (b) -2/9 (c) g (d) y
a
Let v be 21/(-7) - 41/(-13). Let x = -7.04 + 2.04. Let n be 2*(-6)/(-28) - 133/196. Which is the fourth biggest value? (a) n (b) 5 (c) v (d) x
d
Let l = 224 - 221. Suppose -5*u - 31 = -4*y, 1 = -l*y + 4*y + u. Which is the fourth biggest value? (a) -0.2 (b) y (c) 5 (d) -0.1
a
Suppose -8 = 3*g + 4*t, -151*g + t - 9 = -149*g. Let i be -4 + (-32)/(-7) + -1. What is the biggest value in g, 2/29, i?
2/29
Let j be ((2/3)/((-445)/5874))/(2/20). What is the third biggest value in 0.3, j, -1?
j
Let q = -10753 + 10751. Let p = 20 + -18. Let x = 18 - 17.72. Which is the smallest value? (a) q (b) p (c) x
a
Let l = -2.7048 + 2.3048. Let j = 3/100 - 933/1100. Which is the biggest value? (a) l (b) j (c) 0.09
c
Let s = 9951 + -9952. Which is the second smallest value? (a) s (b) -0.99 (c) 0.3 (d) -2/15
b
Let p = -6762 - -6664. What is the fourth biggest value in -3, p, -0.5, -2/9?
p
Let z = -0.166 + -0.035. Let v = -0.101 - z. What is the biggest value in 0, v, -7/8?
v
Let j be (-1*3)/(2 + (-295)/(-10)). Let k = -199.7 + 202.7. Which is the second smallest value? (a) -4 (b) j (c) k
b
Let b be 2/(8/(-18))*(57 - 59). Let k be (9/12)/(b/6). What is the biggest value in 1/7, -2, -0.8, k?
k
Let v = 17/61 - 7/244. What is the second biggest value in 8/5, v, -5?
v
Let s = -70.26 - -68.26. What is the second smallest value in s, -0.19, 23/3?
-0.19
Let l = -93 - -40. Let z = 157/3 + l. Let m = -12 + -8. What is the third smallest value in z, m, 2?
2
Let r = -395 - -104. Let f = -296 - r. Let b be (-4 - 0)*(-6)/20. What is the second biggest value in b, 1/3, f, -0.2?
1/3
Let x = -5910 - -17728/3. What is the fourth biggest value in -131, -5, x, -2?
-131
Let i be (-1)/2 - 27/(-78). Let s = 95639/8082 - 1/4041. Let w = s + -12. Which is the third smallest value? (a) i (b) w (c) -0.1
c
Let t = -8581 - -8588. What is the fourth biggest value in 2/9, t, 1, 2/21, 73?
2/9
Let t = 0.0581 - 0.0681. What is the biggest value in -0.04, 0.1, -5, t, -0.4?
0.1
Let s = -9/77 + 738/385. Suppose 8*q - q = 399. Let h = q + -62. Which is the biggest value? (a) -1/2 (b) s (c) h | {
"pile_set_name": "DM Mathematics"
} |
2. Calculate q(-6).
-9
Let q(k) be the second derivative of -1/2*k**2 + 18 - k + 1/3*k**3. Determine q(3).
5
Let l = -1 + -1. Let n(v) be the third derivative of -v**4/8 - 3*v**3/2 - v**2 - 88*v. Let p(y) = -y - 4. Let g(h) = l*n(h) + 5*p(h). Give g(-3).
-5
Let g = -11317 - -11355. Let q(v) = -2*v + 74. Calculate q(g).
-2
Let n(i) = 42 - 20 - 26 - i. Suppose -2*a + k = -301 + 299, 0 = -5*a - 2*k - 13. What is n(a)?
-3
Suppose 214 = -5*u - l, 5*l - 91 = 3*u + 43. Let y = -40 - u. Let q(m) = -7 - y*m + 7 + 3 - 4. What is q(1)?
-4
Let a = -154 + 157. Let o(p) = 45*p**a + 5*p**2 - 4 - 2*p - 46*p**3 + 2. Determine o(4).
6
Let h(v) = -v**3 - 6*v**2 + 5*v + 21. Let z = -281 + 275. What is h(z)?
-9
Let m(x) = -3*x + 22. Suppose 5*t = 4*v + 62, 3*v = -2*t - 133 + 121. Determine m(t).
4
Let s be (-17)/(-680)*-8 + (2 - 183/(-15)). Let p(z) = -10*z + 132. Calculate p(s).
-8
Let j be (-6391)/847 + 6/11. Let y(o) = o**3 + 6*o**2 + 4. Determine y(j).
-45
Suppose -2*k + 8 = 0, 0*p = -5*p + 3*k + 3. Let t(b) = 7*b + 3*b**p + 0*b**3 + 2*b**2 - 4*b**2 - b - 8*b. Calculate t(2).
12
Let u(w) = 11*w**2 + 4*w + 9. Suppose -3642*l = -3660*l - 54. Give u(l).
96
Let a(i) be the third derivative of i**6/120 + i**5/12 + i**4/12 + i**3/2 + 4*i**2. Let g = 64 - 125. Let w = g - -56. What is a(w)?
-7
Let l(n) = 32*n + 264. Suppose 31*g - 16 = 30*g - 4*s, 0 = -2*g - 4*s + 8. What is l(g)?
8
Suppose 39*m + 2349 = 30*m. Let c = 260 + m. Let u(i) = 3*i**2 - 1. Calculate u(c).
2
Let n(s) = -134*s + 2926. Let k be n(22). Let q(g) = -g**2 - 25*g - 65. Calculate q(k).
1
Suppose -4*d + 24 = 8*d. Suppose 2*w + 18 = d*r + 22, -4*w = 4*r - 8. Let x(t) = -2*t + 3. Give x(w).
-1
Let r(p) = -11*p - 15. Let t(s) = -30*s - 44. Let z(v) = 11*r(v) - 4*t(v). Determine z(8).
3
Let k(x) = 46*x**2 + 2*x - 11. Let v(b) = -92*b**2 - 5*b + 27. Let c(s) = -5*k(s) - 2*v(s). Determine c(1).
-45
Let v(g) = -g**3 - 9*g**2 - 11*g - 28. Let z be ((22/385)/(11/77))/(3/(-60)). Calculate v(z).
-4
Let r(q) = 7*q**2 - 24*q + 1. Let u(j) = -4*j**2 + 12*j. Let z(a) = -3*r(a) - 5*u(a). Let y = 164 - 157. Give z(y).
32
Suppose 48*y + 46*y - 188 = 0. Let c(u) = u**2 - 2*u + 5. Give c(y).
5
Let g(l) = -3*l**2 - 46*l + 16. Let w(n) = -28*n - 1024. Let b be w(-36). Give g(b).
-16
Let k be -34 - -47 - (-7 - -1). Let w(r) = -275*r - 3 - k + 276*r. Calculate w(0).
-22
Suppose 0 = -4*o + 1 + 31. Let z(x) = 4*x - 36. Let y be z(12). Let p(f) = -85*f - y + 77*f + f**2 + 10. What is p(o)?
-2
Let m(p) = p + 2. Let n be (1/(-2))/(8/(-128)). Suppose 72*g = 70*g + n. Suppose 3*t = z - t - 16, t = -g. Calculate m(z).
2
Let y(j) = 5*j**2 + 2*j - 1. Suppose 16 = 5*i + 2*o, 2*i + 0*i = -o + 6. Suppose -i = -w + 3*w. Calculate y(w).
15
Let w(m) = -3*m**2 - 10*m - 5. Let h(o) = 3 + 20*o - 23*o - o**2 + 9*o + 0*o**2 + 2*o**2. Let z(y) = -5*h(y) - 2*w(y). Determine z(10).
-5
Suppose 6*h + 17 = 29. Let a(f) = 2*f**3 - 152*f + 2*f**h + 4 + 152*f. Give a(-3).
-32
Suppose -23 = 5*o + 2, -5*i - o + 5 = 0. Suppose i*c - 35 + 29 = 0. Suppose -k = 4*k - q - 27, c*q - 9 = -3*k. Let u(n) = -n + 11. Give u(k).
6
Suppose 4*f - 2*r = 1878, 2*f = -f - 3*r + 1386. Let t = -472 + f. Let p(l) = l - 5. Determine p(t).
-10
Suppose 0*j + 5*j = -d - 16, -5*d + 12 = 2*j. Let q(w) be the first derivative of 376*w + w**2 - 375*w + d - 5*w**2. Give q(2).
-15
Suppose -16*c = -12*c. Let q(z) = -z**2 - z + 6. Let b be q(c). Suppose v + 17 = 3*l, -2*v - l = l - b. Let s(w) = -w**3 - w**2 + w + 1. Calculate s(v).
3
Let n(q) = 2035*q**2 - 2034*q**2 - 9*q + 31 - 10*q. What is n(13)?
-47
Let a be 1*(-4 + 2)*-1. Let z(g) be the first derivative of -9*g**2 - 9*g**2 + 4*g + 35 + 17*g**a. Determine z(3).
-2
Let c(x) = 105*x**3 + 5*x**2 + 11*x + 12. Let v(i) = 16*i**3 + i**2 + 2*i + 2. Let o(d) = 2*c(d) - 13*v(d). What is o(-2)?
-22
Suppose 3*q = -2*z - 70, 118 = -7*q + 2*q - 2*z. Let y be 138/q + (0 - (-12)/16). Let f(r) = -r**3 - 5*r**2 + 4*r - 4. Calculate f(y).
-24
Suppose 0 = 5*a + 2*i + 17, -3199*i - 2 = -3197*i. Let r(o) = -3*o + 0*o**2 + 2 - 3 - o**3 - 3*o**2. What is r(a)?
8
Suppose 0 = -2*k + y - 74 + 274, 3*y = -k + 93. Let j(n) = 103*n - 307*n + k*n + 101*n. Determine j(-2).
8
Let w(y) be the third derivative of -y**5/60 - 11*y**4/24 - y**3 + 8*y**2. Let j be (171/(-18) - -9)*22. Determine w(j).
-6
Let o(w) = -8*w + 12 - 3983*w**2 + 30 + 3982*w**2. Determine o(4).
-6
Let s(t) = 10*t + 5. Suppose 13*a = -8 + 47. Suppose 4*b - a*q = 24, -b + q + 1 = -5. Let k(y) = y. Let w(r) = b*k(r) - s(r). Give w(4).
-21
Let q = -58 + 54. Let o = -24 - -32. Let g(r) = -3 + 2*r + o + 0 + 1. What is g(q)?
-2
Let j(q) = q**2 - 8*q + 2. Let u(x) = -13*x - 45. Let h(c) = -2*c**2 + 34*c - 64. Let d be h(15). Let z be u(d). What is j(z)?
-5
Let i(x) = -4580 + x**2 + 2284 + 2268 - 8*x. What is i(12)?
20
Let v(j) = 2*j**3 - 3*j**2 - j + 2. Let h be v(2). Let a(b) = 144*b + 505. Let d(o) = 10*o + 35. Let f(g) = -2*a(g) + 29*d(g). What is f(h)?
13
Let v(z) be the third derivative of z**6/120 + 7*z**5/60 - z**4/4 + 600*z**2 + z. Calculate v(-6).
72
Let k(o) = -3*o - 2. Let x = -133 - -141. Suppose x*j - 110 = -302. Let a = -27 - j. What is k(a)?
7
Let l(k) = 19*k**3 + 7*k**2 + 6*k - 3. Let h(d) = -22*d**3 - 7*d**2 - 8*d + 5. Let q(s) = 6*h(s) + 7*l(s). Let w be (-24)/(-10)*(-40)/12. Calculate q(w).
-7
Let v(q) = -20*q + 30. Suppose -57*t = -34*t + 3 - 49. Give v(t).
-10
Let h(m) = 8*m + 67. Suppose 18*d - 65*d - 553 = 32*d. Determine h(d).
11
Let q(c) = -2*c**2 - 15*c - 4. Let z be q(-6). Suppose -49 = z*n + 385. Let t = -35 - n. Let k(l) = -3*l - 6. Determine k(t).
6
Suppose -223*b + 206*b = -117 - 121. Let d(r) be the first derivative of b - 7*r + 1/2*r**2. Determine d(3).
-4
Let k(n) = -9*n**3 - 38*n**2 - 78*n - 103. Let a(z) = -5*z**3 - 25*z**2 - 39*z - 52. Let m(p) = 7*a(p) - 4*k(p). Calculate m(21).
-15
Let p(u) = -7*u + 15. Suppose -13 = -3*g - o, -2*g + 16 = 2*g + o. Let d(t) = 4*t - 8 + 2*t - 2*t. Let n(y) = g*p(y) + 5*d(y). Calculate n(0).
5
Suppose n = 5*h - 67, -5*h - n = n - 61. Let s(v) be the second derivative of -v**4/12 + 7*v**3/3 - 9*v**2/2 + 4*v - 155. Calculate s(h).
4
Let v(f) = 19*f**3 + f**2. Suppose -37*h + 40*h + t = 8, -5*h + 3*t - 10 = 0. Calculate v(h).
20
Let g be 2 + (-11 - -11)/(0 + -2). Let z(j) = j**3 - 5*j**2 + 12*j - 14. What is z(g)?
-2
Let j(n) = n**3 + 18*n**2 + 44*n + 788. Let q be j(-18). Let c(v) = -5*v**2 - v + 2. Determine c(q).
-74
Let b(o) be the second derivative of o**3/6 + 5*o**2/2 + 2*o. Let v(n) = 10*n + 98. Let l be v(-11). Let g be 0*((-18)/l)/(-3). Give b(g).
5
Let m(r) = -r + 2. Let y(p) = 3*p - 3. Let h(g) = 5*m(g) + 2*y(g). Let k be 728/168 + 6/9. Calculate h(k).
9
Suppose -3*t + 319 = 4*p, 4*t - 6*t + 5*p = -182. Suppose -5331 + 3921 = -15*x. Let r = t - x. Let a(j) = -j + 10. Determine a(r).
3
Let q(b) be the second derivative of b**5/20 + b**4/2 - 11*b**3/6 - 5*b**2 - 2794*b. Let r = -23 - -16. Calculate q(r).
18
Suppose -13*o = -14*o. Let j(l) = o*l + 4*l + 0*l + 3. What is j(-3)?
-9
Let v(i) be the second derivative of i**5/20 - 4*i**4/3 - 3*i**3 + 19*i**2/2 + 115*i. Let a be v(17). Let l(n) = n**3 + n - 4. What is l(a)?
6
Let l(g) = -2*g**3 + 49*g**2 + 24*g + 26. Let i be l(25). Let v(w) = -2 + 0*w**2 + 9*w**2 + 1 + w. Determine v(i).
9
Let y(x) = x**2 - 13*x - 17. Let o be y(-12). Suppose o - 277 = 2*s. Let m(f) = -35*f**2 + 1 + 33*f**2 + 4*f**3 + 0*f**s. Give m(-1).
-5
Let j(m) = -3*m**2 + 28*m - 2. Let u(w) = 4*w - 1. Let v(x) = -j(x) + 2*u(x). Calculate v(3).
-33
Let z(h) = h**2 - 14*h + 35. Suppose 2*l - 33 = -5*x, -4*l - x = -35 - 4. Give z(l).
-10
Let b(h) = -207*h + 410. Let v be b(2). Let q(z) = -2*z**2 + z**2 - 3*z - 3*z**2 - z**3 + 2 + 4*z. What is q(v)?
-2
Let g be 0/(3*32/(-48)). Let y(z) = -4*z + 39. What is y(g)?
39
Let y = -34 + 44. Let u be ((15/3)/y)/(1/(-12)). Let z(h) be the third derivative of -h**5/60 - 5*h**4/24 + h**3/6 + 10*h**2. Give z(u).
-5
Let t(d) = -2*d**3 + 3*d**2 + 2*d - 2. Let s(b) = b**2 + 34*b - 69. Suppose 40 = 22*w - 4. Let q be s(w). Calculate t(q).
-23
Suppose 7*c - 21*c = -28. Let p(m) = 23 + 3*m - 5*m**2 - c*m - 26 + 2*m**2 + m**2. Calculate p(0).
-3
Let z(h) = 3*h**2 + 158*h + 2080. Let y be z(-27). Let s(r) be the third derivative of 23*r**6/120 - r**5/60 + r**2. What is s(y)?
22
S | {
"pile_set_name": "DM Mathematics"
} |
e greatest common factor of 119 and 210273.
119
Calculate the highest common factor of 19420 and 16640.
20
What is the highest common factor of 78246 and 84?
42
Calculate the greatest common factor of 46065 and 6640.
415
Calculate the greatest common factor of 157557 and 174.
87
What is the greatest common divisor of 126550 and 450?
50
Calculate the greatest common divisor of 2673 and 432.
27
What is the greatest common factor of 4477 and 107041?
407
Calculate the highest common factor of 10956 and 1320.
132
What is the greatest common factor of 384 and 157952?
128
Calculate the greatest common factor of 849 and 50374.
283
What is the highest common factor of 129 and 6966?
129
Calculate the highest common divisor of 6362 and 38.
2
Calculate the greatest common divisor of 1287 and 3575.
143
Calculate the greatest common divisor of 435467 and 359.
359
Calculate the highest common factor of 11248 and 12236.
76
Calculate the greatest common factor of 46826 and 832.
26
Calculate the highest common factor of 50 and 50650.
50
What is the highest common divisor of 18382 and 42?
14
Calculate the greatest common factor of 25890 and 110.
10
Calculate the greatest common divisor of 8592 and 4656.
48
Calculate the highest common divisor of 119 and 246925.
119
Calculate the greatest common divisor of 683924 and 152.
76
What is the highest common divisor of 5415 and 969?
57
Calculate the greatest common divisor of 1680 and 567.
21
What is the highest common divisor of 165 and 1672605?
165
Calculate the highest common factor of 9617 and 124667.
59
What is the highest common factor of 32 and 7472?
16
What is the highest common divisor of 22540 and 1470?
490
What is the highest common factor of 48 and 1634608?
16
Calculate the greatest common factor of 1995 and 2242.
19
Calculate the greatest common factor of 224 and 148640.
32
What is the highest common divisor of 96 and 2412192?
96
What is the highest common factor of 91648 and 156088?
1432
What is the greatest common divisor of 1728 and 1536?
192
What is the highest common factor of 4870728 and 1098?
1098
Calculate the highest common divisor of 54 and 35766.
18
Calculate the highest common factor of 552 and 40872.
24
What is the greatest common factor of 68225 and 75?
25
Calculate the highest common divisor of 1133 and 217767.
11
What is the greatest common divisor of 3055577 and 217?
217
Calculate the greatest common factor of 93 and 30543.
3
What is the greatest common factor of 172 and 958556?
172
Calculate the greatest common divisor of 41565 and 75.
15
Calculate the highest common factor of 42160 and 1550.
310
What is the greatest common factor of 1305 and 30375?
45
Calculate the highest common factor of 234300 and 1500.
300
What is the highest common factor of 330834 and 168?
42
What is the greatest common divisor of 25 and 390700?
25
What is the highest common divisor of 29323 and 9499?
413
What is the highest common factor of 1281 and 75894?
21
What is the greatest common divisor of 3266 and 1150?
46
Calculate the greatest common divisor of 11 and 3753959.
11
Calculate the greatest common factor of 30210 and 318.
318
Calculate the greatest common divisor of 1038 and 138.
6
Calculate the greatest common factor of 13215 and 1725.
15
Calculate the greatest common divisor of 346662 and 36.
18
What is the greatest common factor of 372 and 6192?
12
What is the highest common factor of 1730584 and 1?
1
Calculate the greatest common factor of 80 and 11920.
80
What is the greatest common factor of 506 and 293894?
46
Calculate the greatest common divisor of 172 and 1248462.
86
Calculate the greatest common divisor of 1197 and 248064.
57
Calculate the highest common factor of 148349 and 2943.
109
Calculate the highest common factor of 31666 and 852.
142
Calculate the greatest common divisor of 31997 and 12407.
653
Calculate the greatest common divisor of 1862 and 1041257.
133
What is the greatest common divisor of 507737 and 19?
19
Calculate the highest common divisor of 1834798 and 1579.
1579
What is the highest common factor of 259770 and 420?
210
Calculate the greatest common factor of 25533 and 153.
9
Calculate the greatest common factor of 36 and 3802.
2
Calculate the greatest common factor of 23 and 182390.
23
What is the greatest common divisor of 583 and 10252?
11
What is the highest common divisor of 1106 and 71764?
14
What is the highest common factor of 680 and 160905?
85
What is the highest common factor of 20 and 1129355?
5
What is the highest common factor of 114589 and 8436?
703
Calculate the highest common factor of 27150 and 12.
6
What is the highest common divisor of 1526 and 187589?
109
Calculate the greatest common divisor of 141404 and 46.
46
What is the greatest common factor of 928480 and 1120?
1120
What is the highest common divisor of 7685479 and 51?
17
Calculate the highest common divisor of 5060 and 3565.
115
Calculate the greatest common divisor of 4816 and 9184.
112
What is the highest common factor of 43980 and 60?
60
What is the highest common divisor of 3 and 1781?
1
What is the greatest common divisor of 22 and 1078198?
22
What is the greatest common factor of 974 and 355023?
487
Calculate the greatest common divisor of 1120 and 9440.
160
Calculate the greatest common divisor of 1309980 and 84.
84
What is the highest common factor of 7728 and 1168?
16
What is the greatest common divisor of 6624 and 11136?
96
What is the highest common factor of 9164954 and 38?
38
What is the highest common divisor of 12136 and 21016?
296
What is the greatest common factor of 1978397 and 158?
79
Calculate the highest common factor of 52940 and 180.
20
What is the greatest common factor of 444 and 6504?
12
Calculate the highest common factor of 5402 and 10877.
73
Calculate the greatest common factor of 48832 and 6720.
448
What is the greatest common factor of 914733 and 648?
81
What is the greatest common divisor of 432 and 60903?
9
What is the greatest common factor of 1140 and 540?
60
What is the highest common divisor of 13331 and 41?
1
Calculate the highest common divisor of 213 and 96.
3
What is the greatest common divisor of 8 and 20168?
8
Calculate the highest common factor of 470714 and 1184.
74
Calculate the highest common factor of 76764 and 12.
12
What is the greatest common divisor of 80550 and 180?
90
Calculate the highest common divisor of 268 and 8012.
4
What is the highest common factor of 1652680 and 150?
10
Calculate the highest common factor of 396160 and 160.
160
Calculate the greatest common divisor of 25916 and 440.
44
What is the greatest common divisor of 312 and 199446?
78
Calculate the greatest common divisor of 7347 and 248.
31
Calculate the greatest common factor of 5 and 863605.
5
What is the highest common divisor of 189 and 128541?
21
Calculate the highest common factor of 284 and 160.
4
What is the greatest common divisor of 776504 and 232?
232
Calculate the greatest common factor of 103551 and 231.
21
What is the highest common factor of 4191 and 1518?
33
Calculate the greatest common factor of 274669 and 214.
107
Calculate the greatest common divisor of 256672 and 160.
32
What is the greatest common factor of 90 and 110070?
90
What is the greatest common factor of 352 and 79232?
32
Calculate the highest common factor of 959663 and 1556.
389
What is the highest common factor of 3 and 268377?
3
Calculate the highest common divisor of 54 and 3987.
9
Calculate the highest common factor of 50 and 158870.
10
What is the highest common factor of 32988 and 60?
12
Calculate the greatest common divisor of 7512 and 78.
6
What is the greatest common divisor of 179208 and 1634?
38
What is the highest common divisor of 98 and 34328?
14
What is the greatest common factor of 415 and 211069?
83
What is the highest common divisor of 6308 and 5244?
76
Calculate the highest common factor of 140 and 1372.
28
Calculate the highest common divisor of 270 and 20530.
10
Calculate the highest common factor of 65 and 40820.
65
What is the greatest common divisor of 57618 and 4752?
594
What is the highest common factor of 19 and 68818?
19
What is the greatest common factor of 42 and 1030666?
14
What is the highest common divisor of 17408 and 2635?
17
What is the greatest common divisor o | {
"pile_set_name": "DM Mathematics"
} |
ify (2*1*(3*sqrt(378) - sqrt(378))/sqrt(9))/((sqrt(72) - (sqrt(72) + (sqrt(72) + -2*sqrt(72) - sqrt(72))))/sqrt(12) - sqrt(66)/(sqrt(11)*-3)).
12*sqrt(7)/7
Simplify (4 + (sqrt(1008) - (1 + sqrt(1008) + sqrt(1008))) - (-1 + sqrt(1008) + -3))**2 - ((sqrt(28)/(sqrt(576)*5))**2 + 2).
-336*sqrt(7) + 14684393/3600
Simplify -2 + ((-4*sqrt(405) - (sqrt(4500) - sqrt(4500)*1))/(sqrt(108)/(sqrt(96)/(sqrt(8) - (sqrt(8) - 5*sqrt(8))))))**2 + 4.
154/5
Simplify (1 + -5 + 2*(sqrt(242) + (sqrt(242) - (-1 + sqrt(242))*6) + sqrt(242) - (sqrt(242)*2 + -4))*5)**2.
-105600*sqrt(2) + 614216
Simplify (-5*(2*sqrt(162) + 3 + 2*sqrt(162)*-1 - (sqrt(162)*2 + -4 - (1 + sqrt(162) + 0)))*-6)**2.
-129600*sqrt(2) + 203400
Simplify ((4*1*sqrt(300)*-2)/(-5*(sqrt(144) - (sqrt(144)*1 - sqrt(144)) - sqrt(144)) + 5*1*sqrt(144)))**2.
16/3
Simplify 2 + (4 + (3 + -2*sqrt(80)*-1)*-5)**2*1.
880*sqrt(5) + 8123
Simplify (((sqrt(80) + sqrt(80)*2)/sqrt(4) + -2*sqrt(80))*-3)/(-2*(sqrt(360) + -4*1*sqrt(360) - sqrt(360))).
sqrt(2)/16
Simplify (sqrt(1620)*-1 + sqrt(1620) - sqrt(80)/(sqrt(16)/sqrt(4)))/(sqrt(12)/(sqrt(3) - (sqrt(3) + 6*sqrt(192)))).
48*sqrt(5)
Simplify 2 + (-4*(sqrt(768) + 5*sqrt(768))**2 - (-4 + sqrt(768) + -2)).
-110584 - 16*sqrt(3)
Simplify ((sqrt(20) - sqrt(120)/sqrt(6))*3 + (sqrt(1620) - 1*sqrt(1620)))/(sqrt(20)/(sqrt(5) - sqrt(125)*-1)*6).
0
Simplify (((1 + sqrt(1377))*-5)**2*-5 - (0 + (sqrt(1377)*2*-4 - sqrt(1377))**2)) + 2 + -2.
-283787 - 2250*sqrt(17)
Simplify (-5*(sqrt(170) - (-4*sqrt(170)*-1 - sqrt(170)))*5)/((sqrt(70) - (-2*sqrt(70)*-3 - sqrt(70)) - sqrt(70))/(sqrt(252)*1)).
-60*sqrt(17)
Simplify (3*sqrt(896))/(2*sqrt(200)) - -3*(0 + (2 + sqrt(343) + 2)**2).
846*sqrt(7)/5 + 1077
Simplify (4 + (sqrt(19) + 0 + 5)**2)*-3 - (3*sqrt(912))/(2*(sqrt(3) + 1*sqrt(3))).
-144 - 33*sqrt(19)
Simplify ((2*sqrt(130) + sqrt(130))/sqrt(5))/sqrt(2) - -1*(-5 + 1*sqrt(13)) - (sqrt(4212) + sqrt(4212)*-1 + sqrt(4212))/(sqrt(64)*3)*-1.
-5 + 19*sqrt(13)/4
Simplify (-1 + sqrt(1300))*5*3 + -3*(sqrt(1300) + -1 + sqrt(1300) - sqrt(1300)) + (0 + sqrt(1300))**2 + -2 + 4.
120*sqrt(13) + 1290
Simplify (-3*(2*2*sqrt(17)*1)**2 - ((3 + (sqrt(17) - 1*sqrt(17)))*1 + 5))*1.
-824
Simplify (6*-2*sqrt(78))/(-4*sqrt(150)) + -1*-6*((sqrt(468) + 0)*-1)**2.
3*sqrt(13)/5 + 2808
Simplify (5*(sqrt(4500)*1 - 2*-2*sqrt(45)))/(-3*-5*sqrt(144)*-3).
-7*sqrt(5)/18
Simplify 3 + ((3*(sqrt(77) + sqrt(77) + 2*sqrt(77) - sqrt(77)) + sqrt(77)*1*5)/(2*sqrt(343)*-4))**2.
59/16
Simplify (sqrt(63) + -6*sqrt(252)/sqrt(4))/(sqrt(9) - ((sqrt(108) - (-1*sqrt(108) - sqrt(108))) + sqrt(108))/sqrt(12)) + (-1*sqrt(56)*-2)/(sqrt(32)/sqrt(4)*4).
13*sqrt(7)/6
Simplify (-4*sqrt(121)*1*4)/(((sqrt(99) + (sqrt(99)*3 - sqrt(99)) + sqrt(99))*4)/sqrt(9)).
-sqrt(11)
Simplify -5 + (0 + sqrt(13)*-2 - (3 + -1*sqrt(13))) - -4*-3*(sqrt(832) + -4).
-97*sqrt(13) + 40
Simplify -1*(sqrt(448) - (sqrt(448)*2)**2) + (1*-2*sqrt(42) + sqrt(42))/sqrt(6) - ((sqrt(175)*1)**2 - (-3 + sqrt(343)))*-1.
-16*sqrt(7) + 1970
Simplify (-5 + (sqrt(175)*-1)**2 + 4 - (sqrt(63)*4 + (2*sqrt(7))**2*5)) + 0 + -4.
-12*sqrt(7) + 30
Simplify (sqrt(35)/sqrt(5)*-3 - ((sqrt(56)/sqrt(8) - sqrt(7)) + sqrt(7))*-2 - sqrt(630)/(sqrt(10) - (sqrt(110)*3)/sqrt(11)))**2.
7/4
Simplify (5*sqrt(228)*-1 - (((sqrt(228) - -3*sqrt(228)) + sqrt(228))*3 - sqrt(228)))/((sqrt(24)/(sqrt(32) + sqrt(2)) + sqrt(768)*1)*6).
-95*sqrt(19)/246
Simplify (sqrt(931) + 3)**2 + 1 + sqrt(931) + (1 + 1 + sqrt(931) - sqrt(931)) - (4 + (((3*sqrt(76) - sqrt(19))**2 - sqrt(19)) + -1 + sqrt(2736))*-4).
93*sqrt(19) + 2835
Simplify (sqrt(12)/(2*sqrt(486)) - -5*sqrt(18)*2) + ((sqrt(84) + sqrt(84)*-3 + sqrt(84))/sqrt(6))/(sqrt(847) + (3*sqrt(847) - sqrt(847))).
5945*sqrt(2)/198
Simplify -5*((-1 + sqrt(2736) + sqrt(2736) + 0 + sqrt(2736) + sqrt(2736))**2*5 - 2*((2*sqrt(190)*2 - sqrt(190)) + sqrt(190))/sqrt(10)).
-1094425 + 2440*sqrt(19)
Simplify -1 + (((sqrt(260) + 1*sqrt(260))*-1)/sqrt(5))/((sqrt(24) + 2*sqrt(96))/sqrt(6)) + 4.
-2*sqrt(13)/5 + 3
Simplify -5 + 4 + (2*(2 + 5*1*sqrt(153) + 0) + 5)**2.
540*sqrt(17) + 15380
Simplify (1 + sqrt(1008)*-2*5 + 3)**2 - (1*sqrt(126)/sqrt(3) + sqrt(42))/(sqrt(216)*-1).
-2879*sqrt(7)/3 + 100816
Simplify 1*-4*5*2*(3 + sqrt(475) + 3 + sqrt(475))*-5.
1200 + 2000*sqrt(19)
Simplify (-4 + 5*((sqrt(405) - (sqrt(405) + 2)) + sqrt(405))*6 - (-5 + sqrt(320) + 1)*4*1)**2.
-22848*sqrt(5) + 285524
Simplify (((2*sqrt(152) - sqrt(152))*2)/(6*((sqrt(32) + sqrt(8) - sqrt(8)) + sqrt(8))) + ((2*sqrt(171))/sqrt(9) - -3*1*sqrt(19)) + 0)**2.
40204/81
Simplify (-2 + (5 + (sqrt(637) + 2 + sqrt(637) + 5 - sqrt(637))*-3)*-4)**2*4.
41664*sqrt(13) + 382288
Simplify ((sqrt(162) + sqrt(162) + 1)*6 - sqrt(162))**2*5 - (-1 + -2 + sqrt(288))**2*-2.
5796*sqrt(2) + 98784
Simplify -2*(2 + (sqrt(13) + -2 - sqrt(13))) + (sqrt(91) - (sqrt(91) + (sqrt(91) - sqrt(91)*-1)*-5))/sqrt(7) + -5 + -1.
-6 + 10*sqrt(13)
Simplify (5*sqrt(84)*-2*-4)/(sqrt(21)/(sqrt(33)/sqrt(11)) - -3*sqrt(448)).
16*sqrt(3)/5
Simplify -2*(-4 + (-4*-2*sqrt(343) + -2*sqrt(343)*4 - (-3*(sqrt(343) + -1 + sqrt(343)) + sqrt(343) + 0)))**2.
-17248 + 980*sqrt(7)
Simplify ((sqrt(34)/(sqrt(2) + 5*sqrt(8) + sqrt(8) + sqrt(2) + sqrt(2))*-5)**2 - ((sqrt(102)*-1 + sqrt(102))*-2)/(sqrt(150)*1 - sqrt(6)))*2.
34/9
Simplify 5 + (5*(5 + sqrt(70)/(sqrt(10) - -1*sqrt(10)) + 1 + sqrt(224)/sqrt(2)*-3))**2.
-3450*sqrt(7) + 96195/4
Simplify (5*(sqrt(84)*2*2 - sqrt(84))*-3)/((sqrt(972)*1 + sqrt(12) - (sqrt(96)*1)/sqrt(8))*2).
-5*sqrt(7)/2
Simplify (-4*sqrt(170)*-1*-4*-5)/((3*sqrt(70)*1 + sqrt(70))/(sqrt(77)/sqrt(99))).
20*sqrt(17)/3
Simplify -4 + 3 + (3 + sqrt(200) - (-1 + sqrt(200)/sqrt(4)))**2 + (5 + (sqrt(200)*1)/sqrt(4))**2.
90*sqrt(2) + 140
Simplify (sqrt(154)/sqrt(99) + sqrt(2800)/sqrt(2))/(sqrt(847) + sqrt(847)*1 - sqrt(847) - sqrt(49)/sqrt(175)).
155*sqrt(2)/162
Simplify -5*((sqrt(133)/sqrt(7) + sqrt(19))**2*5*-2 + sqrt(76)/(2*sqrt(100)))*-1.
-3800 + sqrt(19)/2
Simplify (((sqrt(468)*4*6 - sqrt(468))/sqrt(12))/(-1*(sqrt(3) + sqrt(6)/sqrt(2)) - sqrt(9)/(sqrt(18)/sqrt(6))) + -4)**2.
184*sqrt(13)/3 + 7021/9
Simplify (2*sqrt(209)*4)/sqrt(11) + 1 - (((sqrt(475) - (sqrt(475) + sqrt(475)*2)) + -5)**2 + 3).
-1927 - 92*sqrt(19)
Simplify -5*(2 + (-4*sqrt(224)*-2)/(sqrt(72)*2*-1)).
-10 + 40*sqrt(7)/3
Simplify (3*sqrt(24)/((-1*sqrt(56))/sqrt(7)) + (sqrt(150) + 1*sqrt(150) + sqrt(150))/(-4*(sqrt(8) - sqrt(2))) + -5)**2*-5.
-12935/16 - 675*sqrt(3)/2
Simplify ((-5*(sqrt(216) - 1*sqrt(216)))/(sqrt(72)/sqrt(3)))/(4*(4*sqrt(1728)*2 - sqrt(1728))).
0
Simplify ((6*(sqrt(245) + (-1 + sqrt(245) - sqrt(245)) + 4) + (2 + sqrt(245)*-1)*-5)*1)**2.
1232*sqrt(5) + 29709
Simplify -2 + 0 + 2*((1*(2 + sqrt(720)) - -1*sqrt(720)*1)**2 + -2)*-4.
-23058 - 768*sqrt(5)
Simplify ((sqrt(84)*2*4)/(sqrt(42)/sqrt(24)))/(-5*(sqrt(726) - (sqrt(726) + 2*sqrt(726)) - sqrt(726))*5).
16*sqrt(2)/825
Simplify 1 + (sqrt(228)*-1)/sqrt(12) + sqrt(57)/(sqrt(15)/sqrt(5)) + -5 + -4*sqrt(114)/sqrt(6)*4.
-16*sqrt(19) - 4
Simplify (-3*(5 + -3*(-1 + sqrt(1900) + 1) + -1))**2.
-2160*sqrt(19) + 154044
Simplify (4 + (sqrt(624) - (sqrt(624) + (sqrt(624)*2 + sqrt(624))*-1))/(-2*sqrt(12)*-1 + sqrt(12)) + 5)**2.
36*sqrt(13) + 133
Simplify 4 + 1*(-2 + sqrt(19)*-3 + -5 + (sqrt(228) - (sqrt(228) + sqrt(228) + (sqrt(228)*-3 - sqrt(228) - sqrt(228))))/sqrt(12)).
-3 + sqrt(19)
Simplify ((((sqrt(288) + -1*sqrt(288) + sqrt(288))/sqrt(8))/(sqrt(540)/sqrt(5)) - (-1 + sqrt(147) + -4)**2*4) + -4)*2.
-1384 + 1682*sqrt(3)/3
Simplify (2*sqrt(78)*-3 - -3*sqrt(78)*5)/(3*3*(sqrt(294)*-3 + sqrt(294) - sqrt(294) - sqrt(294))).
-sqrt(13)/28
Simplify ((3 + 0 + (sqrt(700) + ((sqrt(700) + -2 - sqrt(700)) + -1 - sqrt(700)) + (-1 + sqrt(700) - sqrt(700)) + sqrt(700) + -5)*-6 + 5)*-1)**2.
-7440*sqrt(7) + 29044
Simplify ((-1*(-1 + sqrt(2299)) - sqrt(2299)) + 1 - ((sqrt(2299) + (sqrt(2299)*-3 - sqrt(2299))**2)*5 + -4)) + 2.
-183912 - 77*sqrt(19)
Simplify ((sqrt(19) - sqrt(133)/(-3*sqrt(7)) - (sqrt(684) + -2))*-2 - (-3*(1 + sqrt(19))**2*-1 + 5 + (sqrt(152)*2)/sqrt(8)))*-5.
-20*sqrt(19)/3 + 345
Simplify (4 + (-1 + (sqrt(1377) - (-1 + sqrt(1377))*-3 - sqrt(1377)) + -5)*-6)**2.
-18792*sqrt(17) + 449512
Simplify (-5 + 5*(3*sqrt(252)/sqrt(4)*5)/(6*sqrt(225)*2))**2.
-25*sqrt(7)/2 + 575/16
Simplify (sqrt(80)*4 + -3 + (-2*sqrt(80)*-1 + sqrt(80) - sqrt(80) - sqrt(80)))**2 + 3*(6* | {
"pile_set_name": "DM Mathematics"
} |
the value of 0 + 9 + -1 + -126 + 108?
-10
-27 - -23 - (-6 - 1)
3
Evaluate 5 + (-14 - (-3 + -2)) + 4.
0
Calculate (-1 - -2) + (-6 + 6 - -3).
4
What is -8 + 2 + (-5 - -7)?
-4
Calculate -7 + (-4 + -1 - -8).
-4
What is the value of -6 + (4 - 1) + 3 + -1?
-1
Evaluate (-6 + -7 - -13) + 10.
10
What is 0 - 3 - (0 + 1)?
-4
What is the value of 1 + ((-6 - -22) + -7 - 2)?
8
What is (-1 - (1 - 1)) + (-8 - -5)?
-4
Evaluate 7 + (0 + -5 - -7 - 13).
-4
Calculate (11 - (16 + -12)) + -7 + 1.
1
Calculate -3 + (-6 - -20) + -7.
4
4 - 5 - (3 + 0)
-4
Evaluate -1 + -14 + (21 - 10).
-4
What is -3 + 6 - (14 - 12)?
1
What is the value of -1 + 9 + 0 + -12?
-4
What is (-1 - 9) + (-11 - -25) + -6?
-2
Evaluate 3 - (2 - (-5 - -8) - -1).
3
Evaluate -3 - ((-8 - -10) + (-3 - -2)).
-4
0 - ((-1 - 2) + (19 - 13))
-3
(7 - 8) + 4 - (8 + -1)
-4
13 + 7 + 0 + (-28 - -14)
6
Evaluate (4 - (-1 - (-10 - 4))) + 4.
-5
What is the value of -2 - ((3 - 18) + 6)?
7
What is the value of 1 + (3 - (-2 - -3))?
3
What is the value of 0 - -6 - 5 - -2?
3
What is -2 + 1 + (2 - 1) + -3?
-3
Evaluate 8 + (-15 - 5) + 11.
-1
Calculate 8 - (-3 + (5 - -2)).
4
Evaluate 18 - 12 - 2 - 9.
-5
What is 11 + -5 - (0 - -11)?
-5
Calculate 31 + -13 + 1 - (9 + -1).
11
What is the value of (-2 - -5) + -3 - -5 - 2?
3
Calculate -3 + 2 + 2 + 2 - 4.
-1
What is 1 + (0 - 2) + 6 + 0?
5
Calculate -3 + 5 + -3 + 1.
0
Calculate 3 + -3 + 3 + 0.
3
Evaluate -75 + 69 - (1 + -5 + 1).
-3
Evaluate -2 - 0 - 0 - (-25 - -19).
4
What is (-8 - (-3 - 1)) + 2 + -4?
-6
What is the value of 6 - (-1 - -3) - (-4 - -9)?
-1
Evaluate 11 + (0 - (-8 + 7 - -4)).
8
What is -6 - (3 + 0) - -6?
-3
Evaluate (0 - -1) + -9 + 3.
-5
What is (0 - 6) + 8 + -5?
-3
Calculate -4 + (-4 + 9 - -4 - 2).
3
What is the value of -7 + (-6 - (7 - (10 + 4)))?
-6
What is the value of 0 + -1 + 1 + 9 + -5?
4
Calculate 6 + (-11 - 2) + 11.
4
(-27 - -30) + -2 + -2 - 6
-7
Evaluate -6 + -2 + -3 + 18.
7
39 + -36 - (-2 + 1 + 0)
4
What is the value of (-9 - -1 - -3) + (4 - 3)?
-4
Calculate 8 - (20 - (-3 - -9)).
-6
7 - (-4 - (-13 + (5 - 7)))
-4
What is the value of (13 - 9) + (2 + -1 - 2)?
3
What is the value of -10 - ((-8 - -1) + 3 + 1)?
-7
0 + 4 + -2 + -14 + 12
0
-2 - 5 - (3 - 13)
3
What is 1 + 5 + -10 + 1?
-3
What is 60 + -58 + (1 - 9)?
-6
Evaluate (3 - 1 - 8) + 2.
-4
-1 + 5 + 0 + 0 + 1
5
Evaluate 3 - (-3 + 3 + (-4 - 0)).
7
What is the value of 3 - 21 - -14 - (-5 + 0)?
1
1 + (3 - 4 - -5)
5
(-16 - ((0 - 3) + -1)) + 2
-10
Evaluate -5 + (5 - 7 - (2 - 7)).
-2
What is the value of -17 - (11 - 6 - 15)?
-7
Calculate -3 + 2 + 5 - 10 - -3.
-3
What is the value of 3 - (-3 + (4 - -1))?
1
2 + (-11 - (-8 - -2)) + 7
4
6 + -7 + 5 - 7
-3
Calculate -1 - (1 - -1) - -1.
-2
What is the value of (-2 - (-7 + 0)) + (-83 - -74)?
-4
What is (-6 - (-7 + -5)) + 0?
6
What is the value of -2 - (4 - (-6 + 11))?
-1
Evaluate (-1 - (4 - 4)) + (-4 - 0).
-5
-3 - (-1 + (-3 - 1) - 1)
3
What is the value of (-4 - (-2 + 3)) + 3 - 6?
-8
-4 + 5 + 2 + -8 - -7
2
What is 6 - ((-9 - (-2 + -4)) + 4)?
5
Calculate 2 - (1 - -3) - -3.
1
What is -6 - -6 - (0 + -9)?
9
Calculate -168 - -169 - (3 - -1).
-3
0 - (9 - (5 + -1))
-5
What is -104 + 100 - (1 - (-1 + 11))?
5
Evaluate -14 + -4 + 7 - -7.
-4
Calculate 6 + -4 + 0 + -1.
1
Evaluate (4 - 7) + (-2 - (3 + 0)).
-8
What is 0 - -1 - (-7 + 4 - -4)?
0
What is the value of (-6 - 1) + (10 + -1 - 6)?
-4
-12 + 11 - -3 - (0 + -4)
6
What is 2 + (17 - 18 - (2 + -8))?
7
What is the value of -11 - (7 + -4 - 11)?
-3
Calculate (-4 - 0) + 10 + (4 - 4).
6
What is -103 + 90 + (15 - 1)?
1
What is -3 + -10 + 16 + (-1 - 5)?
-3
(-3 - (2 + 1)) + 7 + -1
0
-10 - (-8 - (-2 + 9 + -13))
-8
Calculate 6 + -7 - (20 - 24).
3
What is (7 - 2) + -5 - -5?
5
(0 - 3) + (-2 - 3) + 9
1
What is the value of (4 + -1 - 4) + -19 + 20?
0
What is 8 + -7 + 2 + -7 + 2?
-2
Calculate -13 - (0 + (-9 - -2)).
-6
Calculate -5 + 0 + 1 + -5 + 4.
-5
What is the value of -3 - (-2 + -1) - 1?
-1
(-1 - -1 - 5) + 3 - -2
0
What is 4 + (-1 - -1) + -6 - 3?
-5
What is the value of -6 + 2 - (0 + 0 - 3)?
-1
What is -4 + (-3 - -3) + 8?
4
6 - 8 - (-3 - -1) - 0
0
What is (8 - 0 - 2) + -1?
5
Calculate -16 - (4 + -6) - -7.
-7
What is the value of 3 - (-9 + 5 + 8)?
-1
Calculate (9 - 12) + (2 - 5).
-6
What is the value of 6 - 7 - 3 - (0 + -10)?
6
Calculate -143 - -148 - (-3 + 1).
7
Calculate -11 - (-2 + -3 + 0).
-6
-5 - 0 - -4 - 4
-5
What is -6 + (12 - (6 + -5))?
5
Calculate -4 - (8 - 4 - (3 + 10)).
5
What is 2 - 0 - (4 - 0)?
-2
Calculate 6 + -13 - -10 - 8.
-5
Evaluate -2 - ((-7 - -4) + -5 + 5).
1
13 - (7 - (0 + 0))
6
Evaluate 3 + 0 + 9 + 7 + -23.
-4
Calculate 1 + 8 - 12 - -2.
-1
-1 + 10 + -5 - (0 - -8)
-4
Calculate (4 - -1) + 1 + -7.
-1
What is 5 + -1 + -8 + 7 - 1?
2
Calculate 1 + -1 + -2 - (19 - 21).
0
What is -4 - -2 - (-12 - -16)?
-6
Evaluate (4 - 0) + -19 + -12 + 19.
-8
Calculate -12 + (11 - 8) + 13.
4
What is the value of (3 - 6) + 1 + 2?
0
What is the value of (-1 + 4 - -4) + -6?
1
What is (-9 - -2) + (-5 - -7 - -1)?
-4
Calculate -1 - (4 - 0 - 1).
-4
What is the value of -9 + 8 - (1 - -1 - 0)?
-3
What is 6 + (11 - 11) + 1?
7
What is (1 + 1 - -1) + 359 + -371?
-9
-1 + 0 - (1 + -2 - 1)
1
Evaluate 0 + 3 + 1 + -1 + 2.
5
What is 1 + (-10 - 0) - -10?
1
What is the value of 2 + -4 + -1 + 3?
0
4 + -2 + 1 + -3
0
What is 5 + 1 - (0 + 10 + 3)?
-7
What is the value of 9 + -12 - (0 + 0)?
-3
Evaluate -6 - (-4 + 2) - -4.
0
What is 3 + -4 + 2 + 2?
3
Evaluate (2 - 0) + (6 - 10).
-2
What is 6 - (-8 + 15 + -5)?
4
Calculate 1 + (2 - -1) + (-1 - -1).
4
What is (-3 - -4) + -5 - 2 - 0?
-6
Evaluate -5 + 10 + -5 - -1 - -5.
6
-3 - ((0 - -4) + -8 - -5)
-4
Evaluate -2 + 3 + -3 - -7.
5
Calculate (-5 - (-6 - (0 + -4))) + -3.
-6
Evaluate 6 + (-4 - -3) - 1.
4
-6 + 7 + 1 + 2 + 2
6
Calculate 5 + -4 + -2 + -1.
-2
Calculate 3 - (7 + -9 + 5).
0
-3 + (7 - 6) + 1
-1
What is the value of (6 + 1 - (-36 + 41)) + 0?
2
0 + -5 + (-4 - -7)
-2
What is the value of 77 + -82 - (0 + 0)?
-5
What is the value of 3 + -6 + -3 + 6?
0
What is the value of -4 + 6 + -4 + (5 - 4)?
-1
What is the value of -1 + 10 + -7 - (-3 - -4)?
1
What is -18 - -15 - (3 - (3 - -10))?
7
What is (30 - 10) + -10 + -6?
4
What is 4 + -6 - -7 - (2 - -3)?
0
4 - (3 - (-6 + 7) - 2)
4
Evaluate -5 - (-3 - -1 - (-4 + 5)).
-2
-1 + (-3 + 2 - -7) + -6
-1
(5 - 24 - -7) + 4 + 0
-8
Calculate (1 - (-1 + -1)) + -8.
-5
What is the value of -2 + (-5 - (-5 + 2))?
-4
Evaluate -3 + (-1 - -5 - (69 - 77)).
9
Calculate -3 + (-2 + -2 - -3).
-4
Evaluate 3 + 2 + 0 + -2 + -8.
-5
What is the value of 5 - (-9 + 4 - -4) - 2?
4
Calculate 0 - (2 + -8 + 0) - 12.
-6
(1 - (-9 - -4)) + -5
1
Calculate 0 - -2 - 4 - (3 - 7).
2
What is the value of (0 + -4 + 2 - 2) + 0?
-4
Calculate -2 + 2 + -3 + (-4 - -7).
0
(-4 - 3) + 8 - 5
-4
0 + 6 - ((18 - 9) + -7)
4
What is the value of 3 - ((13 - 5) + -5)?
0
What is 14 + (-6 - 2) - 7?
-1
Calculate -3 - (3 - (5 - -4)).
3
What is the value of 17 + 0 + -8 - (1 - -1)?
7
Evaluate (7 - 15) + 4 + -3 + 1.
-6
Calculate 8 + (-14 - -13) + -11.
-4
Evaluate 4 + 0 - 0 - 8.
-4
What is the value of -101 + 92 + 1 + 13?
5
Calculate (-5 - 3 - (1 - 3)) + 3.
-3
What is the value of 19 + 4 + -13 + -10?
0
What is (12 - (-6 - -2)) + 8 + -13?
11
Calculate 65 + -58 + -1 + -1.
5
Calculate -8 + 21 - 4 - 13.
-4
Calculate -49 + 44 - (1 + -1).
-5
Evaluate (-8 - -2) + 1 + 2 - 1.
-4
Evaluate (2 - 2) + 2 - 3.
-1
Calculate -3 + 11 + -2 + -3.
3
What is the value of -7 - -3 - (2 + -5)?
-1
Calculate 0 + -5 + 6 - 2.
-1
What is the value of -3 - (5 + -3 + -9)?
4
What is the value of 1 + -3 + 0 + -15 + 19?
2
(2 - 6) + (-3 + -3 - -5)
-5
What is -5 + 8 + -4 - 2?
-3
1 + -4 + 58 + -57 + -6
-8
Evaluate (0 - 5 - -5) + -6.
-6
Evaluate -3 + (5 - -1) + -8 + 4.
-1
Evaluate 4 - (-6 - -5) - 6.
-1
What is the value of (12 - 5) + -5 - 2?
0
Evaluate (2 - 2) + -1 + 2.
1
Calculate 3 - (2 + (0 - (-3 - -1))).
-1
What is the value of -7 + 2 + (1 - 0) + 0?
-4
Calculate -4 + 10 + -3 + -5.
-2
1 + -5 + 5 + 0 + 3
4
Calculate (8 + 0 - 13) + 2.
-3
What is the value of -11 - (3 - (1 + 9))?
-4
1 + (-1 - 0 - 1) + 3
2
Calculate -1 + (2 - 7) + 7 - 9.
-8
What is 25 + -28 - (0 - 5)?
2
What is the value of (13 - (0 + 1)) + -8?
4
-3 + (-5 - (-1 + -6))
-1
What is 1 + 1 + -11 + 2 + 2?
-5
What is the value of 4 - (9 - 3 - -2)?
-4
Evaluate 11 - (10 - (-1 - -9)).
9
Evaluate 7 - 9 - (3 - 4).
-1
What is -16 + 8 + 5 | {
"pile_set_name": "DM Mathematics"
} |
What is the third derivative of g(a) wrt a?
-505440*a**3
Differentiate -10558*r + 3819*r - 18618 + 14327 wrt r.
-6739
Let d(h) be the third derivative of -19*h**5/20 + 629*h**4/6 + 26*h**2 + 4. Find the second derivative of d(q) wrt q.
-114
Let z(b) be the third derivative of -239*b**8/112 - 343*b**5/60 - 440*b**2. What is the third derivative of z(p) wrt p?
-43020*p**2
Let l(t) be the third derivative of -23*t**2 - 79/210*t**7 + 0*t + 1/3*t**3 + 3/2*t**4 - 2 + 0*t**5 - 1/120*t**6. What is the second derivative of l(j) wrt j?
-948*j**2 - 6*j
Let m(y) be the third derivative of y**7/105 + 107*y**6/15 + y**5/60 + 6097*y**3/6 + 1696*y**2 + 2*y. Find the first derivative of m(o) wrt o.
8*o**3 + 2568*o**2 + 2*o
Let m(w) = 6*w**3 - 2*w + 16. Let n be m(0). Find the third derivative of 15*x**3 - 58*x**3 + 19*x**5 - 244*x**2 + n*x**3 + 11*x**3 + 17*x**3 wrt x.
1140*x**2 + 6
Let l(x) = -2. Let g(a) = -5. Let u(p) = g(p) - 2*l(p). Let o(d) = 9*d**3 - 3*d**2 - 19. Let i(b) = -o(b) + 6*u(b). Find the first derivative of i(z) wrt z.
-27*z**2 + 6*z
Let y = 170/439 + 99/878. Let x(i) be the first derivative of -21 + 9*i + y*i**2. Differentiate x(a) with respect to a.
1
Let t(v) = 3*v**2 - 13*v - 5. Let d be t(5). Find the third derivative of 3*g + 64*g**2 + 14*g - 15*g**d - 62*g**2 wrt g.
-900*g**2
Let w(n) = -7452*n**2 + 11*n + 321. Let r(c) = -3727*c**2 + 5*c + 161. Let u(v) = -9*r(v) + 4*w(v). What is the second derivative of u(k) wrt k?
7470
Let l = -2812 + 2815. Let j(m) be the second derivative of 0 + 0*m**2 - 7*m + 0*m**4 - 7/2*m**l + 1/10*m**5. Find the second derivative of j(k) wrt k.
12*k
Let k(c) = 9*c**2 + 526*c - 8821. Let a(p) = 4*p**2 + 266*p - 4411. Let w(v) = -7*a(v) + 3*k(v). What is the first derivative of w(o) wrt o?
-2*o - 284
Let u(y) be the second derivative of -y**7/14 - 153*y**5/20 + y**3/3 - 5625*y**2/2 + 4968*y. What is the second derivative of u(l) wrt l?
-60*l**3 - 918*l
Find the second derivative of -3464*d + 12 + 6644*d + 3568*d**2 - 3377*d wrt d.
7136
Let s(i) be the third derivative of 315*i**4/4 - 256*i**3 - i**2 + 167*i. Find the first derivative of s(q) wrt q.
1890
Let i(s) = -7*s**3 - 237*s**2 + 1132*s + 20. Let q(l) = 6*l**3 + 119*l**2 - 566*l - 8. Let p(n) = 2*i(n) + 5*q(n). Find the second derivative of p(k) wrt k.
96*k + 242
Let o(a) be the third derivative of -a**9/168 + a**8/168 + 139*a**6/60 - a**5/20 - 304*a**3 - 22*a**2 + a - 41. Find the third derivative of o(f) wrt f.
-360*f**3 + 120*f**2 + 1668
What is the derivative of 109*s - 333*s + 108*s + 1388 + 151*s**2 + 116*s wrt s?
302*s
Suppose 0 = -2*c - 2*u + 4, 4 - 12 = -4*c + 4*u. What is the second derivative of 35*l**5 - 12*l**2 - 13*l**c - 45*l + 23*l**2 wrt l?
700*l**3 - 4
Find the third derivative of -560*b**3 + 7207*b**2 + 1153*b**3 + 1777*b**3 - 303*b**3 wrt b.
12402
Let n(b) be the third derivative of -5*b**4/24 - 10*b**3/3 - 11*b**2. Let x be n(-5). What is the second derivative of x*p**3 - 3*p**3 - 106*p + 86*p wrt p?
12*p
Let c = 258 + -228. Find the second derivative of -422 + 422 - c*z + 23*z**3 + 4*z wrt z.
138*z
Let u(v) be the third derivative of -6269*v**5/60 + 2764*v**3/3 - v**2 - 5876*v + 2. Differentiate u(n) with respect to n.
-12538*n
Let n(b) = 161*b**2 + 11401*b - 42. Let p(h) = 16*h**2 + 1140*h - 4. Let v(m) = 2*n(m) - 21*p(m). Find the second derivative of v(k) wrt k.
-28
Suppose j - f = 3*f + 18, 4*j + 3*f + 4 = 0. Let d be ((-107)/2)/((-1)/j). Differentiate -2 - 112*k - d*k + 246*k + 20 with respect to k.
27
Let g(i) = 6 + 3*i - 3 + 2 + i. Let w be g(1). What is the second derivative of 6 - 35*l + 3 - 38*l**2 - w wrt l?
-76
What is the third derivative of 3436*c + 2664*c - 4693*c + 2*c**2 - 1 - 2491*c**6 wrt c?
-298920*c**3
Let q(z) = -1997*z**4 + 11*z - 10482. Let d(p) = -1331*p**4 + 8*p - 6988. Let i(t) = -7*d(t) + 5*q(t). What is the second derivative of i(f) wrt f?
-8016*f**2
Let q(m) = -4*m**2 - 35*m + 17. Let o be q(-9). Differentiate -o*p**3 - 15 - 5*p**2 - 10 + 5 - 13 wrt p.
-24*p**2 - 10*p
Find the second derivative of 726*d**2 + 2 - 28699*d - 4433*d**2 + 30147*d wrt d.
-7414
Let b(n) = 6*n**3 - 23*n**2 - 15*n + 2958. Let m(o) = 5*o**3 - 24*o**2 - 20*o + 2959. Let w(t) = -4*b(t) + 3*m(t). Differentiate w(q) wrt q.
-27*q**2 + 40*q
Let p(n) = n**3 - n**2 - 2*n + 15. Let a be p(3). Differentiate -92*d**3 + 23*d + 94*d**3 + a*d + 66 with respect to d.
6*d**2 + 50
Let n(j) = -j**2 + 4*j + 8. Let m be n(5). Suppose -12 = 2*a + 4*x, 0*x + 3*x + 9 = -m*a. Differentiate 12 + a - 2 + 3*b**4 + 2*b**4 with respect to b.
20*b**3
Suppose 0 = 3*t - 6*t + 30. Let s be (-10)/(-3)*15/t. Find the third derivative of -4*x**2 - 2*x**2 - 8*x**2 - 4*x**4 - s*x**4 wrt x.
-216*x
Let y = 453 - 450. What is the derivative of 20 + 26*b**y + 4*b**3 + 72*b**3 + 42 + 23 wrt b?
306*b**2
Let o(c) = -c**3 - c. Let h(b) = b**2 - 15*b - 16. Let t be h(16). Let p be o(t). What is the third derivative of 6*r**3 - r**2 + r**3 + p*r**2 + 22*r**2 wrt r?
42
Let u(y) = 3*y**3 + 3*y**2 - y - 1. Let s be u(3). Suppose -s = 10*m - 14*m. What is the second derivative of -m*a**3 + 2*a + 9*a**3 + 3*a**3 wrt a?
-84*a
Let y(p) = -723*p**3 + 4*p**2 - 24. Let r(h) = -1448*h**3 + 9*h**2 - 46. Let j(q) = 4*r(q) - 9*y(q). Find the first derivative of j(s) wrt s.
2145*s**2
Let l(t) = 17625*t**3 - 16*t**2 - 136*t - 7251. Let p(z) = -5875*z**3 + 6*z**2 + 51*z + 2417. Let n(v) = -3*l(v) - 8*p(v). What is the derivative of n(u) wrt u?
-17625*u**2
Let t(o) = 1810*o - 91. Let q(c) = 3621*c - 191. Let z(b) = -3*q(b) + 5*t(b). What is the derivative of z(r) wrt r?
-1813
What is the third derivative of 675*o**5 + 2952*o**2 + 577*o**4 + 0*o**3 + 0*o**3 - 577*o**4 wrt o?
40500*o**2
Let g(q) be the third derivative of 0*q**5 + 1/8*q**4 - 31/120*q**6 - 52*q + 0 + 2*q**2 - 2/3*q**3. What is the second derivative of g(d) wrt d?
-186*d
Let j(a) = 778*a**4 + 4*a**3 + 2735*a + 4. Let n(k) = -779*k**4 - 3*k**3 - 2736*k - 3. Let m(i) = -3*j(i) - 4*n(i). Find the second derivative of m(g) wrt g.
9384*g**2
Let h = 3 + 2. Suppose 23 + 92 = 23*o. What is the second derivative of -63*g**h + g + 77*g**o + g wrt g?
280*g**3
What is the third derivative of 600*h**2 + 511*h**2 + 957*h**2 - 431*h**4 + 3040*h**4 wrt h?
62616*h
Find the second derivative of -3717*a**3 + 1532*a - 39*a**4 - 44*a**4 + 3717*a**3 wrt a.
-996*a**2
Let j(i) = 14*i + 24. Let w be j(3). Find the second derivative of 687 - 687 + 6*s + w*s**2 wrt s.
132
Let f(j) be the third derivative of -j**4/24 + 5*j**3/3 + 12*j**2. Let d be f(8). Find the third derivative of 11*b**2 - 3*b**d - 3*b**2 + b**2 - 11*b**3 wrt b.
-66
Let a = -31 + 31. Let p = a + 24. What is the second derivative of 14*y**2 + 13*y**2 - 4*y - p*y**2 wrt y?
6
Let n(p) be the first derivative of 0*p + 0*p**4 + 96 - 82*p**2 + 4/3*p**3 + 0*p**5 + 2*p**6. What is the second derivative of n(m) wrt m?
240*m**3 + 8
Let w be (-2)/7 + (-8424)/(-84). Suppose -w = -3*b - b. Find the third derivative of 206 + b*g**2 - 8*g**3 - 206 wrt g.
-48
Let c(r) = -r**4 - r**2 - 2*r + 1. Let n(b) = -2*b**4 - 14*b**2 - 28*b + 16. Let a = -60 - -18. Let v(x) = a*c(x) + 3*n(x). Differentiate v(h) wrt h.
144*h**3
Let h(d) = d**4 - d**3 - 509*d**2 - 8688*d - 30. Let w(l) = -2*l**2 - l - 3. Let i(u) = h(u) - 10*w(u). What is the second derivative of i(y) wrt y?
12*y**2 - 6*y - 978
Let j(q) = 41 - 50*q - 28*q + 38 - 1. Let f(r) = -79*r + 78. Let n(m) = 3*f(m) - 4*j(m). What is the derivative of n(w) wrt w?
75
Let h(g) = -g**2 + 9*g - 14. Let b be h(7). Suppose b = -z + 10 - 6. What is the second derivative of -11*v**4 - v**z - 940*v + 928*v wrt v?
-144*v**2
Let b = 303 - 201. What is the third derivative of -11*u**4 + 32*u**3 - 35*u**2 + 9*u**4 - b*u**2 wrt u?
-48*u + 192
Let x(i) = -2415*i + 1298*i + 5 + 1260*i. Let h(l) = 283*l + 10. Let y(b) = -2*h(b) + 5*x(b). Differentiate y(o) with respect to o.
149
Let h(o) = o**4 - o**2 + o - 2. Let d(z) = 1378*z**4 - 4*z**2 + 4*z - 3084. Let q(t) = d(t) - 4*h(t). Differentiate q(w) with respect to w.
5496*w**3
Let t be 10 + 2 + -4 + -5. Suppose 0 = -11*b + 9*b + 40. What is the second derivative of 5*g - g - b*g**3 + 38*g**t wrt g?
108*g
Let p(x) be the second derivative of 17*x**6/30 + x**5/20 - 2*x**4 - 433*x**3/2 + 4*x + 358. What is the second derivative of | {
"pile_set_name": "DM Mathematics"
} |
+ (5 - 4 + 0)*(2 - 2 - 2) + 0 - 5 + 3)*(7*p - 16*p + 19*p) to the form a*p + h + u*p**2 and give u.
20
Express 1 + 2 - 7*p**3 + 12*p**3 in the form q*p**2 + n*p**3 + w + l*p and give n.
5
Rearrange ((2 + 0 - 4)*(-2*u - 2 + 2) + 3 - 3*u - 3)*(0 + 0 + 3)*(-2*u**3 + u**3 + 2*u**3) to the form k*u**3 + w*u**2 + a + b*u**4 + h*u and give b.
3
Express (-14 + 1 + 0)*(4*f + 0*f - 3*f)*(-5*f**2 + f**2 + 1 + 5*f**2) in the form g*f**3 + o + q*f**2 + l*f and give g.
-13
Rearrange x**3 + x**3 + x**2 - 3*x**3 + 4*x**4 + 2*x**3 to the form r*x**2 + i + h*x**4 + w*x + n*x**3 and give h.
4
Rearrange (-4 + 3 + 9)*(-5 + 3 + 4 + 2 + 2 - 3 + (-2 - 2 + 2)*(-1 - 1 + 1))*(0 - 3 + 1)*(r + 2*r - 4*r) to the form j + b*r and give b.
80
Rearrange (0*r - 2*r + 4*r)*(5 - 1 - 3)*(-2 + 3 + 3) to the form g + s*r and give s.
8
Rearrange (1 + 2 - 5)*(189*z - 189*z + 73*z**3) + 3*z**3 + 2*z**3 - 4*z**3 to the form t*z**3 + w + q*z + b*z**2 and give t.
-145
Express (6*s - 12*s - 22*s)*(-3 + 6 + 7)*(-3 + 2 + 3) in the form b + o*s and give o.
-560
Rearrange 5*q**2 - 3*q**2 + 3*q - 5*q - q to s*q + c + k*q**2 and give s.
-3
Rearrange 2*w**3 - 4*w**4 + 9 - 2*w**3 + 2*w**3 to the form g*w + b*w**3 + f + u*w**2 + q*w**4 and give f.
9
Express 2*a + 9*a + 3*a + 0*a in the form s*a + z and give s.
14
Express (5*k + k + 3*k + (2 - 1 + 0)*(-4*k + 2*k + 4*k))*(0 - 2 + 1) in the form s*k + p and give p.
0
Express -9*k**4 + 1914 + k - 1914 - 3*k**3 as p*k + r*k**4 + q*k**3 + l*k**2 + s and give r.
-9
Express o**2 - o**2 - 5*o**2 as f + h*o + v*o**2 and give v.
-5
Express 4*b - 15*b - 3*b - b in the form f + x*b and give x.
-15
Express (0*i + 18*i - 2*i)*(-i + 0*i - i + 0*i + i - 2*i + 2*i - 2*i + i + (0*i - i + 3*i)*(3 - 1 - 1) + i - 2*i + 3*i) as m*i + b + x*i**2 and give x.
32
Express (1 + 1 - 5)*(15*a - 28*a - 29*a) + (-a - 2*a + 4*a)*(0 + 1 + 1) as w + d*a and give d.
128
Express 2*w + 4*w + 8*w in the form i*w + y and give i.
14
Express 18*j**2 + 12*j - 17*j**2 + 3*j**3 + 0*j**3 - 4*j**3 as m*j + d*j**2 + k*j**3 + p and give p.
0
Rearrange 8 - 5 + 0*s - 4 + 4*s + s**4 to d*s**2 + o*s**4 + x + i*s**3 + l*s and give l.
4
Express 3 - 3 + 18*f**2 + 2*f**2 in the form t*f**2 + q*f + z and give t.
20
Express (h - h - 2*h**3)*(-7 - h + 3*h + 3 + (h + 4*h - 3*h)*(5 + 3 - 6)) as x*h**4 + z*h + o*h**2 + i*h**3 + f and give i.
8
Express 2*u**3 - 2*u - 1 + u - 4*u + 4*u in the form c*u**3 + b*u**2 + f + j*u and give c.
2
Express -9 + 144*w + 7 + 2 in the form o*w + j and give j.
0
Express (0*g + 0*g - g)*(9 - 1 + 41) as k + c*g and give c.
-49
Express 3*x**2 + 48*x - 2 - 48*x in the form w + b*x**2 + u*x and give u.
0
Rearrange 16*o - 7*o**2 + 85*o**2 - 16*o to w + u*o + h*o**2 and give h.
78
Rearrange (-1 - 2*g**2 - g**2 + 2*g**2)*(g + g - 7*g) to the form u*g + o*g**2 + n*g**3 + t and give o.
0
Rearrange 56 - 61 + 0*a + 3*a to the form s + u*a and give u.
3
Rearrange 2*u - 8*u - 8*u to the form h*u + y and give h.
-14
Rearrange -1 - 5*a**3 + 1 + (-4*a + 4*a + 2*a)*(-3 + 3 - 2*a**2) - a**3 - 3*a**3 - a**3 to f*a + m*a**3 + q + h*a**2 and give m.
-14
Express 9*t + 5*t - 8*t as b*t + x and give b.
6
Express -2*o + 3*o + 0*o + (5 - 2 - 1)*(o - 2*o - 2*o) + (5 - 1 - 3)*(-2*o + 0*o + o) in the form y*o + d and give y.
-6
Express -24*p - 11*p - 30*p - 77*p in the form t + m*p and give m.
-142
Rearrange -67*t + 91 - 46 - 47 to g*t + q and give q.
-2
Rearrange -u**2 + 0*u**2 + 4*u**4 - 2*u**4 + 8*u**3 to g*u**3 + n + h*u**2 + f*u + w*u**4 and give h.
-1
Express -47*h + 20*h + 21*h - 67*h in the form m*h + f and give m.
-73
Rearrange 2*w**3 - w**3 - 4*w**3 - 2*w**2 - 5 to f*w**3 + s*w + a*w**2 + c and give a.
-2
Express (-3*m**2 - 10*m**2 + 7*m**2)*(9*m**2 - 2 + 2) in the form n + r*m**4 + s*m**3 + k*m**2 + v*m and give r.
-54
Express -p + 12*p**2 - 3*p**3 - 3*p**3 + 9*p**3 as d*p**2 + k*p + q + g*p**3 and give d.
12
Rearrange -5*z**3 + 517*z + 2*z**2 + 2 - 517*z to r + d*z + s*z**2 + x*z**3 and give x.
-5
Rearrange (-4 + 0 + 0)*(1 - 1 + 2*f**3) + (-2 + f**3 + 2)*(-1 + 1 + 1) to m + b*f**3 + a*f + w*f**2 and give b.
-7
Express ((2 - 2 - 2)*(2 - 2*m - 2) - m + 2*m - 3*m)*(4*m + 0*m - 2*m) as c + w*m + h*m**2 and give h.
4
Rearrange (4*n - 2*n + 0*n)*(19*n - 38*n + 21*n) - n**2 - 2*n**2 + 2*n**2 + (3*n - 3*n - 2*n)*(n - 4*n + n) to y*n**2 + b*n + z and give b.
0
Express 4*h**4 - 2 - 309*h**2 + h + 310*h**2 + 6*h**4 in the form q*h + k*h**2 + r*h**3 + s*h**4 + d and give s.
10
Express 3 - 3 + 10*u**3 + (-2*u + u**2 + 2*u)*(2*u + u - 5*u) + (-1 + 3 - 3)*(-u + u + 2*u**3) in the form q*u**3 + g*u + v + s*u**2 and give q.
6
Express (-h**2 - 2*h**2 - 2*h**2)*(h - 3 + 3) as y*h**3 + k*h**2 + z*h + r and give z.
0
Express -1606*l**2 + 1610*l**2 + 1 + 0 in the form u*l + s*l**2 + z and give s.
4
Express 2*w**2 + w - 5*w**2 + 2*w**2 - 4*w as n*w + i + y*w**2 and give y.
-1
Express 1 + 1 - 27*z - 54*z in the form c*z + v and give v.
2
Express (-4*f + 3*f + 0*f)*(-10*f + 4 - 4) - f**2 + 2*f - 2*f as t + y*f + k*f**2 and give k.
9
Rearrange (-2*s - s + 5*s)*(18*s - 18*s - 19*s**2) + (0 + 1 + 0)*(s**3 - s**3 - 2*s**3) to b*s**3 + n + i*s**2 + m*s and give b.
-40
Express 32 - 32 + 55*u as a*u + m and give a.
55
Rearrange 0*g**2 + 5*g**2 + 0*g**2 - 3*g**2 - 2 - 5*g to the form h + d*g**2 + q*g and give h.
-2
Rearrange 5*y + 10*y - 22*y + 3*y - y - y + (2 + 2 - 6)*(y + y - 3*y) to the form j + t*y and give t.
-4
Express 18 - u - 18 - u - 1 + 1 - 4 + 4 - 2*u + (2 + 2*u - 2)*(-2 + 7 - 3) - 2*u - u - 2 - u in the form h*u + x and give x.
-2
Rearrange -22*v**2 + 10*v**2 - 39*v**2 to the form c*v**2 + b*v + p and give c.
-51
Rearrange -1 + 38*f + 1 - 22*f to the form c*f + r and give c.
16
Express 0 - 10 - 3 + 2*o - o**2 as h*o + s + x*o**2 and give x.
-1
Rearrange (c + 1 - 1)*(8*c - 4*c + 7*c)*(-3 + c + 3) - 4*c**3 - 2*c + 2*c to s + i*c**2 + f*c + m*c**3 and give m.
7
Express -5*m**3 + 0*m**2 + 6*m**3 + 5*m**2 + m**2 as r*m + y*m**2 + g + v*m**3 and give v.
1
Rearrange 5*u**2 + 0*u + 0*u + 2*u**2 - u**2 + u**2 + (3*u - u + u)*(-u + 4 - 4) + 3*u**2 - 3*u**2 - u**2 to f + g*u + y*u**2 and give y.
3
Rearrange (-2*d + 2*d + 4*d)*(2 - 1 + 1 + (-5 + 5 + 2)*(4 + 3 - 4)) + d + 2*d - d to p + w*d and give w.
34
Express 3*o**3 + 0 - 2*o**4 + o**3 + 3 as r*o + q*o**2 + x*o**3 + m + t*o**4 and give t.
-2
Express -1 - 33*z**3 - 2*z**3 + 2 + 5*z**3 as u*z + b*z**2 + m + o*z**3 and give m.
1
Express (2*o - 1 + 1 - o + 5*o - 3*o + (0 + 2 - 1)*(-4*o + 4*o + o))*(2*o + 4 - 4 + o**2) as k*o**3 + y + d*o + i*o**2 and give i.
8
Express -2 + 2 + 4*r**2 - 16*r**2 in the form b + u*r + k*r**2 and give k.
-12
Express 6*f**2 - 4*f**3 - 5*f**2 - 2*f**4 + 4*f**4 as i*f**3 + o + b*f + z*f**2 + m*f**4 and give i.
-4
Rearrange -2*y**2 - 2*y**3 + 2*y + 7 - 4 + 8*y**4 + 0*y**2 - 15*y**4 to b*y**3 + k + h*y**2 + m*y**4 + x*y and give k.
3
Rearrange (4*q - 4*q - 2*q)*(-1 + 0 + 3)*(10*q - 2*q - q) to the form x*q**2 + b + t*q and give x.
-28
Express 7*m + 0 + 2*m**2 + 0 - 12*m in the form d + i*m + a*m**2 and give a.
2
Express -43*v**4 + 299*v - 299*v + (4*v**2 - 4*v**2 + v**4)*(4 - 3 + 1) in the form a*v**2 + f*v**3 + t*v**4 + b + k*v and give t.
-41
Rearrange (3*z - z - 3*z)*(-4 + 5 - 3)*(-2 + 1 + 3) + (-2 + 1 + 0)*(5*z - 3*z + 3*z) to the form j*z + f and give j.
-1
Express 51*o + 1 - 1 - 62*o as l + v*o and give v.
-11
Express b + 1 + 3*b**2 + 12*b**3 - 17*b**3 - 3*b**2 as j*b**2 + q*b + u*b**3 + a and give a.
1
Express 5*w - w**3 - 3*w + 1 + 0 + 6 in the form y + d*w**3 + i*w**2 + r*w and give d.
-1
Express -7*j**4 - 13*j + 10*j + 0*j**4 - 1 - j**3 + 0*j**4 as x*j**4 + w*j**3 + g + o*j**2 + h*j and give h.
-3
Express -3*y**4 + 0*y**4 + y**4 + 2*y**2 + 3*y - 7*y in the form t*y**2 + g + o*y**3 + w*y**4 + l*y and give w.
-2
Express -32 - 7 - 4*t**2 - 34 + 3*t**2 as j*t**2 + h*t + w and give j.
-1
Express (-131*g**2 - 43*g**3 + 131*g**2)*(-3*g + 5*g + g) as t*g + b*g**4 + y*g**2 + f + x*g**3 and give b.
-129
Rearrange (-5*h + 3 - 3)*(2 - h + 2*h + h) to the form n*h + r*h**2 + s and give r.
-10
Express -25 + 43 - 16 + 87*x as w*x + f and give w.
87
Rearrange (-4 + 1 + 0)*(0 - 2*g + 4 - g) + 3*g + g - 3*g to the form k*g + i and give k.
10
Express (-f - 5*f + 5*f)*((-4*f + 4*f + 2*f)*(2 - 4 + 3) + (-3 + 2 + 0)*(-8*f + f + 2*f)) as o*f**2 + p + l*f and giv | {
"pile_set_name": "DM Mathematics"
} |
- 18/(-45)?
-2/17
(12/(-3) + (-30)/(-5))*-4
-8
Calculate 48/9*21/28.
4
Evaluate (-70)/(-8) + -4 + 51/12.
9
-1 - (-43)/(-11) - -5
1/11
(12/18)/(-1)*6/4
-1
Calculate (25/(-10) - -3)/(-1)*3.
-3/2
What is ((-1078)/(-66) - 18)*1*3?
-5
What is the value of 7/14 + (-4)/2?
-3/2
Calculate ((-18)/(-20))/(39/65).
3/2
What is the value of 0/(-1) - (1 + 1/(-4))?
-3/4
Evaluate -2 + 2 - 8/(-6)*3.
4
What is the value of 13/26 - ((-54)/(-20))/3?
-2/5
What is (1 - -1)/(-2) + -4?
-5
Evaluate (-168)/112*(-2)/24.
1/8
Evaluate 6/(-24)*2*0.
0
Calculate (2 + -4)/8 - (-2)/2.
3/4
Calculate 3 - 2/7 - (39 - 36).
-2/7
Evaluate (-30)/14 - 10/(-70).
-2
((-7974)/(-378) - 22) + (-4)/(-3)
3/7
Evaluate (-44)/176 + (-2)/(-8).
0
What is the value of -10 + -7 + 24 + (-94)/14?
2/7
What is ((-3 - -1) + -2)*(-45)/36?
5
What is the value of (-2)/(5/((-15)/(-6)))?
-1
What is the value of (-5 - (-3289)/693) + (-1)/(-7)?
-1/9
Calculate ((-2)/104)/((-22)/176).
2/13
Evaluate -3*(-20)/(-120)*(2 - 0).
-1
What is ((-1)/3)/((-92)/30 - -3)?
5
Evaluate (30/21)/(136/476).
5
Evaluate (4 + -4)/(-5)*2/6.
0
(-160)/(-64)*42/15
7
Calculate (-14)/2*(-200)/9100.
2/13
What is the value of 100/(-18) + 38/171 + 5?
-1/3
Calculate ((-3)/(-5))/((270/(-100))/27).
-6
What is the value of 80/(-240) + 1/3?
0
Calculate (-10)/45 + 38/9 + -2.
2
Calculate 1/((5 + 0)/(70/28)).
1/2
What is 6/10*(-240)/(-576)?
1/4
Calculate ((-1)/5 - 3/10)*-1.
1/2
Calculate 0/(-1) - -18*1/3.
6
(1827/(-56))/9 + 4
3/8
0/(1 - 3) - (17 - 23)
6
What is (3 - 25/10)/2?
1/4
(-52)/(-65)*-5 + -6
-10
Calculate (-5 - 0)*(-2)/30*3.
1
Evaluate (4/9)/(4/(-6)).
-2/3
Evaluate (-4)/((-44)/(-1)) + 152/220.
3/5
What is (-29 - -30)*2/3?
2/3
Calculate (6/4)/((-12)/8 - -1).
-3
Evaluate 36/(-30) - (-4 + 3).
-1/5
What is 10/(6/3) - (-1 - -1)?
5
Evaluate (4/(-10))/(114/30).
-2/19
(0 - -2)*((-51)/(-24) + -2)
1/4
Calculate 4/6*54/(-60).
-3/5
(-21 + 9)/(-4) - -4
7
Evaluate 0*((-9)/(-2))/9.
0
What is (-3)/30*-4*55/132?
1/6
Calculate 4*(-5)/(-20)*-3.
-3
What is (4/7)/((-40)/12 + 4)?
6/7
Calculate (-6)/9 - (672/(-18))/8.
4
What is the value of 2/7 - (-88)/(-154)?
-2/7
Evaluate ((-46)/(-24) - 2)*-3.
1/4
What is the value of (-1377)/(-272) + -8 - (-1 - 2)?
1/16
Calculate (-6 - 0)*((-27)/(-2) + -13).
-3
Calculate (5 - 1)*42/(-168).
-1
What is the value of (-1)/45 - (374/(-55) - -7)?
-2/9
14/(-4)*10/105*18
-6
Calculate (148/(-111))/(1/6).
-8
Evaluate 3 + 10/35*23/(-2).
-2/7
Calculate 3 + 12/(-9) + (-707)/399.
-2/19
(1 - 1) + (-510)/51
-10
Calculate 11/(550/(-70)) + (-3 - -5).
3/5
What is the value of (-4 - -1) + (10 - 6)?
1
What is the value of (-530)/300 - 9/(-90)?
-5/3
What is 0 + 1/13*2?
2/13
112/(-630) - 6/(-15)
2/9
What is the value of (240/(-154))/15 - (-2)/7?
2/11
What is ((-35)/(-245))/(2/(-7))?
-1/2
What is the value of (-2)/(-4) + ((-156)/56 - -2)?
-2/7
Calculate (-7)/(168/40)*(-3)/2.
5/2
What is the value of (-20)/2 - (-730)/70?
3/7
What is 36/24*-2*(2 + 1)?
-9
What is the value of 5/(-4) + 348/48 - 3?
3
What is the value of ((-34)/(-7) + (-90)/105)/14?
2/7
What is 33 - 30 - (2 + -1)?
2
Calculate -6 + 4 + ((-100)/16)/(-5).
-3/4
What is the value of 2 - (1 - (7 - 0))?
8
Calculate (5*(-12)/120)/((-2)/(-16)).
-4
What is (-18)/3 + 18/2?
3
What is (215/(-35) - -5)*7?
-8
Evaluate 4 + (-2)/((-8)/12).
7
Calculate (2 - (-321)/(-30)) + 396/(-1320).
-9
What is the value of (48/10 + 12/60)/(-1)?
-5
What is the value of -3 - ((-155)/(-25) - (-1)/(-5))?
-9
What is ((-1)/35)/((-235)/(-1175))?
-1/7
-2*(19/7 + 8 + -11)
4/7
What is the value of 56/(-36) - (1 - 3)?
4/9
What is the value of (-25)/325 + 2/(182/(-45))?
-4/7
(-5 - -6) + -5 + 3 + -2
-3
What is the value of (-30)/4*(4 - 98/21)?
5
What is the value of 2*114/(-924) + (-10)/55?
-3/7
Calculate (-5)/(-3) + (3/(-1))/(-9).
2
What is (180/540)/((-2)/42)?
-7
((-2 + 1)/7)/(12/(-14))
1/6
What is (-1 - 20/(-28))*(-14)/6?
2/3
What is (-6 - 1)*44/154?
-2
Evaluate (-164)/52 - ((-30)/26 + 1).
-3
Calculate (-8)/(-3) + (-2)/3.
2
(-19)/((-76)/6)*-2
-3
What is 14/4 + 12/24?
4
What is the value of -1*-2*(-6)/(-102)?
2/17
Evaluate 8 + 5/20 + (-42)/8.
3
What is ((-225)/30 - -6)*(-2)/5?
3/5
(-142)/(-1349) - 5/(2850/(-16))
2/15
Calculate (-9 - 114/(-12))/(1/2).
1
What is the value of 6*((4 - -1)/10)/1?
3
What is the value of 198/30 - (-18)/(-30)?
6
What is the value of (6 + 0)/3 + (-2)/1?
0
Calculate 12 + (1200/21)/(-5).
4/7
Evaluate 10/75*(-6)/(-4) + -1.
-4/5
What is 8/(-4)*(-3)/18?
1/3
What is the value of ((-12)/8)/(34/68)?
-3
-2 + (24/55 - (-240)/200)
-4/11
Calculate (-560)/(-880)*12/(-21).
-4/11
Evaluate (-1 + 2)/(11/22).
2
What is the value of (-64)/156 - 2/(-26)?
-1/3
(-2)/(1 - 5)*40/(-15)
-4/3
16/5 - (-5 - 104/(-20))
3
What is the value of ((-162)/(-135))/(24/(-10) - -2)?
-3
What is -1*4/10 - (-4)/2?
8/5
Calculate (-22)/99 - (-29)/9.
3
Evaluate (-7 + (-99)/(-15))/(44/20).
-2/11
Calculate (429/286)/((-2)/4).
-3
What is the value of 0/9*(-1)/(-2)?
0
What is the value of (4 + -6)*3 - -6?
0
Calculate 20/(1 + -6)*9/(-12).
3
What is (13 - 13)/(-2 + 0)?
0
Calculate (-4)/(-6)*(-8)/(-24).
2/9
What is (1 + (30/13 - 3))/2?
2/13
Calculate (-3)/5 + (-126)/(-135).
1/3
Calculate (-35)/50 - (-5 - 22/(-5)).
-1/10
Evaluate 1/(-8)*112/(-84).
1/6
Evaluate (-42)/65 + (-56)/(-70).
2/13
What is the value of -2 + (60/25 - (-2)/(-5))?
0
What is (6 - 28/8)*(-2)/(-40)?
1/8
What is (-36)/(-27)*(1 - (-1 + -1))?
4
27/(-15) + 1 - 90/(-175)
-2/7
(-4)/(-10)*17 + -6
4/5
What is the value of 4/7 - (-192)/1890*-10?
-4/9
-5 + 0 + 12/162*63
-1/3
Calculate (0/9)/(0 + 0 + 1).
0
What is the value of 15/(-6) - 4/(-8)?
-2
What is the value of ((-39)/22*-4 - 7)*-1?
-1/11
What is the value of 5/(-2)*(99/(-55) + 1)?
2
Calculate ((-20)/70)/((-24)/(-42)).
-1/2
Calculate 2 - 0 - (-24)/(-6).
-2
Calculate (((-432)/40)/2 - -5) + 1.
3/5
Calculate (-19)/9 - (-16 - -14).
-1/9
9/6*48/(-168)
-3/7
Evaluate ((-1)/(-5))/((-21)/(-140)).
4/3
What is (-966)/(-690)*2/21?
2/15
Calculate 2/10*(-130)/(-78).
1/3
What is the value of (0 + 0)/(-16 + 17)?
0
What is 5 - 58/12 - 369/270?
-6/5
What is (-205)/(-410) + (14/12 - 2)?
-1/3
What is -9 - 15*(-30)/54?
-2/3
3/12 + 380/400
6/5
What is 33*(-5)/(-220)*20/6?
5/2
What is -2*21/(-90)*2/7?
2/15
Evaluate ((-1)/(-4))/((-8)/(-24)).
3/4
What is (-14)/7*4/84*-3?
2/7
7/((-35)/43) + 9
2/5
What is 4/(-22) - 12/(-66)?
0
Evaluate 72/4*((-497)/70 + 7).
-9/5
Calculate ((-7)/14)/(10/(-4)).
1/5
What is -5 + 930/115 + -3?
2/23
What is ((-32)/80)/((-21)/(-30))?
-4/7
(-35 - -9 - -31) + (-2)/(-2)
6
What is (-6)/4*(-2)/(-3)?
-1
What is (40/48)/((-2)/3)*-4?
5
What is the value of 3/2*928/261 + -4?
4/3
Evaluate ((-30)/(-8))/((-18)/24).
-5
Evaluate (-74)/(-7) + (-190)/14 + 13.
10
Calculate (0/1)/(((-16)/(-8))/(-2)).
0
Evaluate (-8)/6 + 8/18 + 1.
1/9
Evaluate -2*6*(-1)/(-90).
-2/15
(1/1)/((-5)/30*21)
-2/7
(-4 + 70/16)/((-6)/4)
-1/4
(18/2)/(124 - 103)
3/7
Evaluate (117/(-12) - -4) + 21 + -15.
1/4
Evaluate 10 + (5 - (-37 + -3)/(-5)).
7
Evaluate (3 + (-22)/11)*(2 + -1).
1
What is the value of -14*(-18)/315*-5?
-4
Evaluate 20 + -15 + 5 - 17.
-7
Calculate (34 + 1)*(605/(-77) + 8).
5
Calculate 1 + 0 + (-55 - -59).
5
What is the value of (-1)/((-3 + 6)/(-3))?
1
What is 1*-11 + 11421/1053?
-2/13
18/(-27)*(-3)/(-4)
-1/2
Calculate -2*(-3)/15 - 16/(-110).
6/11
Evaluate (1/(-2)*2*1)/1.
-1
What is the value of (-3 - 231/(-44))/(-5 - 1)?
-3/8
Calculate 54/(-36)*2/(-4).
3/4
Evaluate 1072/(-224) + (-18)/(-4).
-2/7
Calculate ((-6)/4 - 0)/(24/64).
-4
(-1 + -3)*102/2652
-2/13
What is the value of (-34 - -31)*(5/(-3))/1?
5
What is (-8)/(256/24) - (-10)/56?
-4/7
(-31)/4 - (68 - 76)
1/4
What is 640/(-8064) + 4/18?
1/7
What is (4/6)/(2/(-3) + 0)?
-1
What is the value of (-2 - (-2)/2)/6?
-1/6
What is ((-765)/(-75))/17*15?
9
What is the value of (-2)/12 - 5/(-12)?
1/4
Evaluate (((-60)/(-3))/4)/(-7 + 8).
5
Evaluate ((-12)/(-4))/3*5.
5
Evaluate 17/4 - 5/20.
4
Calculate (-3)/(-2)*(-4)/(-66)*2.
2/11
What is ((-20)/(-6))/(6/9)?
5
What is the value of (-1)/(-2)*(-29)/((-58)/24)?
6
What is ((-1)/12)/(13/117)?
-3/4
Calculate ((-7)/91)/((-3)/6).
2/13
((-42)/49)/((-6)/(-42))
-6
((-5)/15)/(1*-1)
1/3
((-32)/(-144))/(8/72)
2
1/(-2)*7*12/42
-1
Evaluate (-3)/(-12)*-2 - 18/12.
-2
Evaluate -3 + (-3)/(-13)*(-533)/(-82).
-3/2
((-133)/42 - -4)/(2/12)
5
-4 - (-9)/9 - -8
5
What is ((0 - 1)/(-1))/((-12)/3)?
-1/4
What is (3 | {
"pile_set_name": "DM Mathematics"
} |
t of u?
2
Let r(x) = -x**2 + 2*x - 8. Let j be r(6). Let d = j + 45. What is the units digit of d?
3
Let j = 506 + -197. What is the hundreds digit of j?
3
Let a(p) = 2*p + 4. Let f be a(-5). Let d(h) = -5*h**3 + 2*h**2 + h - 3. Let i(q) = -q**3 + q**2. Let r(o) = f*i(o) + d(o). What is the units digit of r(4)?
1
Suppose -1 = 2*t - 5. Let i(m) = 9*m**2 - 2*m - 2. Let z be i(t). Suppose 7*r = 4*r + z. What is the tens digit of r?
1
Let a = -2 - -4. Suppose 0*x + a = -2*x. Let y = x + 2. What is the units digit of y?
1
Let g(h) be the second derivative of -h**4/12 + h**3 - 2*h**2 + h. Let s be g(4). Suppose 16 = z + s. What is the tens digit of z?
1
Let v(k) = k**2 - 8*k + 10. Let m be v(7). Suppose b = -m*b + 80. What is the units digit of b?
0
Suppose 0 = 5*c + 5, -3*w = -0*c + c - 986. What is the units digit of w?
9
Suppose 0*a + 3 = -3*h - 2*a, -4*a = -4*h - 4. Let i(o) = -9*o - 2. What is the units digit of i(h)?
7
Let d(m) = -m**2 + 6*m - 2. Let t = 15 - 10. Let z be d(t). What is the units digit of (-14)/(-8) + z/12?
2
Let l(o) = o**2 - 5*o + 5. Let t be l(5). Suppose 5*x - 41 = -2*n, t*x + 17 = 2*n + 2*x. What is the units digit of n?
3
Let n(s) be the third derivative of s**4/6 - s**3/3 - 6*s**2. What is the units digit of n(8)?
0
Let s be (-5)/(-20) + (-103)/(-4). Suppose l + 2 - s = 0. What is the tens digit of 12*10/l*3?
1
Let z(g) = g**3 + 10*g**2 - 11*g - 1. Let s be z(-11). What is the units digit of (1 - s) + 0 + -1?
1
Suppose 0 = o - k - 21 + 4, 5*k = 3*o - 57. Let d = o - 5. What is the tens digit of (-1)/3 - (-129)/d?
1
Let y(p) = p + 8. Let d be y(-6). Suppose -3*h = 2*h - 15. Suppose -a + 2*z - 2 - d = 0, -h*a + z = -3. What is the units digit of a?
2
Suppose 0 = -y - 2*u + 4, 2*y - 2*u = -4 - 0. What is the tens digit of y + 3 - -11 - 1?
1
Let f(o) = -o**2 + 9*o + 6. Let i be f(10). Let y be ((-4)/(-6))/(i/(-498)). Suppose -18 = 5*b - y. What is the units digit of b?
3
Suppose 3*l + 190 = 4*o + 2*l, -5*l = 2*o - 106. What is the units digit of o?
8
Let r = 16 + -11. Suppose r = -5*m + 35. Suppose 3*y - m*y = -15. What is the units digit of y?
5
Suppose -m - 2*u + 278 = 3*u, -4*u = 2*m - 538. What is the tens digit of m?
6
Let m(y) be the first derivative of -2*y**2 - 4. What is the tens digit of m(-3)?
1
Let o = -6 + 7. What is the units digit of o?
1
Let d(i) = -2*i - 7. Let u(a) = 3*a + 7. Let h(n) = -4*d(n) - 3*u(n). What is the units digit of h(6)?
1
Suppose -k = -5*q - 60, q = -0*q - 2*k - 1. Let z = q + 7. Let l = z + 7. What is the units digit of l?
3
Suppose -5*r + 111 = -49. What is the tens digit of r?
3
Let c be (-4)/2 + (-37 - -1). Let y = c - -59. Suppose 0 = -3*i - 0*i + y. What is the units digit of i?
7
Let l(c) = -5 - c + 2*c + 5. Let w(f) = -2*f**2 - 2*f - 3. Let t(k) = 5*l(k) - w(k). What is the tens digit of t(-5)?
1
Let w be (-276)/10*10/(-4). Let y = w + -30. What is the tens digit of y?
3
Let g = 314 - 197. What is the hundreds digit of g?
1
Suppose -7*t + 395 = -277. What is the tens digit of t?
9
Suppose -h = -f + 82, 0*f + 3*f = 2*h + 169. What is the units digit of (-22)/h - 47/(-7)?
7
What is the units digit of (-404)/(-5) + (-12)/15?
0
Let t(k) = 5*k - 14. What is the units digit of t(4)?
6
Let p = 263 - 150. What is the units digit of p?
3
Let j(w) = -w**3 + 8*w**2 - 7. Let f be j(8). What is the units digit of (-4)/14 - 9/f?
1
Suppose -2*w = -w - 15. What is the tens digit of w?
1
Suppose -p - 2*p = 0. Suppose 0 = 3*v + 4 + 2. Let y = p - v. What is the units digit of y?
2
Let l(i) = i + 52. What is the tens digit of l(0)?
5
Let x(l) = 4*l + 1. Let a be x(-1). Suppose 0*r + 4*r - 2*i = -14, 0 = -4*r - 2*i - 34. What is the units digit of (-5)/a - 2/r?
2
Let a = -11 + 16. What is the units digit of a?
5
Suppose 32 = 4*o + 2*n, 2*n + 0*n = -2*o + 16. What is the units digit of o?
8
Suppose 0*r = -3*d + 2*r - 36, -3*d + r = 36. Let g = 24 + d. What is the tens digit of g?
1
Let c = 233 - 173. What is the units digit of c?
0
Let r be (-1)/(-1) + 3 + -2. Let a be (4 + r)*(-20)/(-8). What is the units digit of 100/a + (-1)/(-3)?
7
Let j = -26 - -36. Let t = j - 7. What is the units digit of t?
3
What is the units digit of ((-556)/10)/(4/(-20)) + 3?
1
Suppose 6*x - 15 = -39. Let j(d) = -d**3 + 12. Let r be j(0). Let c = x + r. What is the units digit of c?
8
What is the tens digit of 2*18*((-40)/(-12) + -3)?
1
Let a = -138 - -164. What is the units digit of a?
6
Let n be (10/4 + -2)*0. Suppose d + d - 4 = n. What is the units digit of d?
2
Let a = 154 - 90. What is the units digit of a?
4
Let f(x) be the second derivative of -x**4/12 + 4*x**3/3 - 7*x**2/2 + x. Let d = 12 + -6. What is the units digit of f(d)?
5
Let s = 40 + -22. What is the units digit of 4/s + (-136)/(-36)?
4
Let w(a) = 12*a - 18. Let p(d) = -d. Let m(y) = -10*p(y) - w(y). What is the units digit of m(8)?
2
Suppose 4*r - 7 = -l, 15 = 4*l + 4*r - 1. Let c be 2 - (-1 - (0 - -1)). Suppose p = c*z - 3*p - 64, l*p = -3*z + 24. What is the tens digit of z?
1
Let m = -6 + 10. Let k be (24/24)/((-2)/(-6)). Suppose -m = i - 0*i, 0 = k*x - 2*i - 71. What is the tens digit of x?
2
Suppose 7*s = 3*s + 4. Suppose -4*q + h = 5*h - 24, -4*h = 3*q - 22. What is the units digit of (s/2)/(1/q)?
1
Suppose 0 = 5*t - k - 15, 5*k + 38 = 13. Suppose 3*a = -w + 36, -57 = -t*w - 0*a - a. What is the tens digit of w?
2
Suppose 4*t + 41 - 153 = 0. What is the tens digit of t?
2
Suppose -3*w + 101 = 5*x, 0 = -3*x - 3 - 3. What is the units digit of w?
7
Let f be (-3)/(-9) + 4/6. Suppose 4*d - 5*k - 23 = 0, 3*d - f = k + 8. Suppose 6 = s + d*s. What is the units digit of s?
2
Let w(r) = 2*r**2 - 14*r + 6. Let o be w(6). What is the tens digit of (-6)/(-18) - 106/o?
1
Let n(u) = -u + 9. Let x be n(8). Suppose -7 - x = 4*y, -5*o - 2*y = -26. Suppose 5*j - 2*j = o. What is the units digit of j?
2
Suppose v - l = -3*v + 5, 2*v + l = 7. Suppose 0 = -k - k + 6. What is the units digit of (2/k)/(v/15)?
5
Suppose -j + 4*d + 7 = 0, -j + 4*d + 11 = -4*j. Let m(f) = 2*f. Let v be m(-1). What is the tens digit of 3/(j/8*v)?
1
Suppose 5*t + 2 = 7. Suppose 2*l - 11 = -t. Suppose -4*c = v - 21, 38 = v + l*c + 12. What is the units digit of v?
1
Let z be ((2 + -2)/3)/(-2). Suppose 5*h - 120 = -z*h. What is the tens digit of h?
2
Suppose -5*u = -0*x + 3*x - 15, u + 20 = 4*x. Suppose x*o - 4 = 21. What is the units digit of o?
5
Let j = -2 - -5. Suppose 10 = -2*x + j*x + 3*d, 104 = 4*x - 4*d. Suppose 5*o - 33 = x. What is the units digit of o?
1
Let b = 0 + -9. Let y(p) = -p + 11. What is the units digit of y(b)?
0
What is the units digit of 4/10 - 408/(-30)?
4
Let n = -9 - -43. Suppose 0 = 3*r - 3, 3*h - n = 5*r - 3*r. What is the units digit of h?
2
Suppose 9*b - 181 - 80 = 0. What is the tens digit of b?
2
Suppose 5*d - 4*d - 2*p = 163, 2*p - 642 = -4*d. What is the tens digit of d?
6
Suppose -5*w - r + 18 = 0, 2*r - 5*r = 4*w - 10. Suppose 0 = w*l + 21 - 157. What is the tens digit of l?
3
What is the units digit of (-3 - 9/(-6))/((-2)/292)?
9
Let a(g) = g - 2. Suppose 15 = -5*t, 2*t - 18 = -3*p + t. Let k = 14 - p. What is the units digit of a(k)?
5
Let f be (6/(-4))/(15/(-20)). Suppose -5 + 1 = f*n. What is the tens digit of (1 - 0)*(-28)/n?
1
What is the units digit of (-11)/((-297)/6) - 1132/(-9)?
6
Let g be (-1)/3 + 10/3. Suppose 7*r - g*r = 12. What is the units digit of r?
3
What is the hundreds digit of -2 + 0 - (-5 + -137)?
1
Let t(p) = 2*p - 2. Let i be t(2). Suppose 6 = -2*x, -d = -i*d - x. Suppose -n + d*w + 19 = -w, -w = 2*n - 2. What is the units digit of n?
3
Let m(f) = f**3 + 5*f**2 - 9*f - 8. Let v be m(-6). Suppose 5*n + 5*z = 185, -z + 62 + v = 2*n. What is the tens digit of n?
3
Let j be (1 + 2/(-2))/2. Suppose -4*y = -6*y. Suppose j = -y*b - 3*b + 36. What is the units digit of b?
2
Let p(w) = 2*w**2 - 3*w + 3*w + w. What is the units digit of p(2)?
0
Let y = -102 - -164. What is the units digit of y?
2
Let j(o) = -3*o + 2. Let d be j(3). Let s = 7 - d. Suppose v - s = 2*b - 4*b, -8 = -4*v. What is the units digit of b?
6
Let c(s) = s**3 - 13. Let n be c(0). Let z = -8 - n. What is the units digit of z?
5
Let a(t) = -t**2 - 5 - 5*t - 2*t - 1. Let o be a(-6). What is the units digit of 2 - (3 - 2) - o?
1
Suppose 0*t = 2*t. Let n(a) = -a**2 - a - 2. | {
"pile_set_name": "DM Mathematics"
} |
+ -1)**2.
-172 - 3*sqrt(19)
Simplify ((sqrt(228) + 1*sqrt(228))*6)/(1*sqrt(36)/sqrt(3)).
12*sqrt(19)
Simplify (sqrt(10) - (sqrt(80)*2 - sqrt(80))/sqrt(8))/(sqrt(2) - -2*sqrt(242)).
0
Simplify -6*-1*sqrt(243).
54*sqrt(3)
Simplify (-5 + -4 + sqrt(176)/sqrt(4))**2.
-36*sqrt(11) + 125
Simplify sqrt(45)/(sqrt(45)/sqrt(5)) + -3*sqrt(405) + sqrt(405).
-17*sqrt(5)
Simplify sqrt(243) + -3 + 1.
-2 + 9*sqrt(3)
Simplify (-5 + sqrt(448)*-3 + -5)**2.
480*sqrt(7) + 4132
Simplify (-4*5*sqrt(5000) + sqrt(5000) + sqrt(5000))**2.
1620000
Simplify (sqrt(13) - (sqrt(13) + -2)) + 3 - sqrt(39)/(sqrt(9)/sqrt(3)).
-sqrt(13) + 5
Simplify -5*(sqrt(125) + 1) + sqrt(125) + (-2*(sqrt(125) + -1))**2 + sqrt(125) + sqrt(125).
-50*sqrt(5) + 499
Simplify 4*sqrt(12)/sqrt(4)*-6.
-24*sqrt(3)
Simplify (3*-1*sqrt(117))**2.
1053
Simplify (sqrt(847) + sqrt(847) + sqrt(847) + ((sqrt(847)*-2 - sqrt(847))*-5 - sqrt(847)))**2 - (sqrt(847) + (sqrt(847)*-2)**2 + sqrt(847) + 2).
-22*sqrt(7) + 241393
Simplify (sqrt(52)*6 + (sqrt(104) - sqrt(104)*-2)/sqrt(8))*-2.
-30*sqrt(13)
Simplify -3*sqrt(84)/sqrt(3).
-6*sqrt(7)
Simplify 1 + (sqrt(432) + 4)**2.
96*sqrt(3) + 449
Simplify sqrt(55)/(-4*sqrt(45)).
-sqrt(11)/12
Simplify (sqrt(720) - (sqrt(720) + (0 + 3 + sqrt(720) - sqrt(720))))**2.
9
Simplify ((sqrt(36)/sqrt(2) + sqrt(18))/sqrt(9) - sqrt(2)) + (sqrt(28)/sqrt(2))/sqrt(7).
2*sqrt(2)
Simplify sqrt(363) + 2 + 2.
4 + 11*sqrt(3)
Simplify (-2*sqrt(1331) + -2)**2.
88*sqrt(11) + 5328
Simplify 2 + ((((sqrt(252) - sqrt(252)*2) + sqrt(252))/sqrt(12))/(sqrt(15)/(-1*sqrt(5))))**2.
2
Simplify 4*(-1 + sqrt(1331)*-1 - -5*(sqrt(1331) + (sqrt(1331) + 1 - sqrt(1331)))).
16 + 176*sqrt(11)
Simplify (sqrt(75)*2)**2 + sqrt(75) - 5*sqrt(147).
-30*sqrt(3) + 300
Simplify (2 + (sqrt(19) - (sqrt(152)/sqrt(128) - sqrt(19))) + (1*sqrt(19) + 4)**2)*1.
37 + 39*sqrt(19)/4
Simplify (1 + sqrt(720)*-1 + sqrt(720) + sqrt(720))*2.
2 + 24*sqrt(5)
Simplify ((sqrt(65) + sqrt(65)*-1)*4)/(sqrt(240)/sqrt(12) + sqrt(5)).
0
Simplify 2 + sqrt(363) + 0.
2 + 11*sqrt(3)
Simplify sqrt(605) + ((sqrt(605) + sqrt(605)*1)**2 - sqrt(605)) + sqrt(20)/sqrt(4) + -4.
sqrt(5) + 2416
Simplify sqrt(13)*-1*2 - (sqrt(13)*-1 + sqrt(13))*3.
-2*sqrt(13)
Simplify ((3*sqrt(117) - sqrt(117))*-5 - sqrt(117))/sqrt(9).
-11*sqrt(13)
Simplify sqrt(77)/(sqrt(176)*-2).
-sqrt(7)/8
Simplify (sqrt(147) + ((sqrt(147) - sqrt(147)*-2) + sqrt(147))**2)*-4 + sqrt(147).
-9408 - 21*sqrt(3)
Simplify sqrt(16)/(sqrt(8) + (sqrt(80)/(-2*sqrt(10)) - sqrt(8))).
-2*sqrt(2)
Simplify (sqrt(55)/(sqrt(5)*1)*4)**2.
176
Simplify 3*(-4 + sqrt(2299)*-2 + sqrt(2299)).
-33*sqrt(19) - 12
Simplify 3 + 1 + (1 + sqrt(112) - sqrt(112)).
5
Simplify -5 + (((sqrt(136) - (sqrt(136) - (sqrt(136) - (sqrt(136) - (sqrt(136) + sqrt(136)*1))))) + sqrt(136))*-4)/sqrt(8).
-12*sqrt(17) - 5
Simplify -5 + 1 + sqrt(275) + 0.
-4 + 5*sqrt(11)
Simplify 3*(-5 + -3 + sqrt(4)/sqrt(2)).
-24 + 3*sqrt(2)
Simplify (sqrt(1331) + (sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 1)))*-6)*-3.
-18 + 165*sqrt(11)
Simplify 1*(sqrt(19) - (sqrt(19) + 1)*6)*3.
-15*sqrt(19) - 18
Simplify sqrt(66)/sqrt(6) + 1 - (sqrt(396) + (-1 + sqrt(396))**2 - sqrt(396)).
-396 + 13*sqrt(11)
Simplify (sqrt(117) + 1 + 1)*-6.
-18*sqrt(13) - 12
Simplify 1*sqrt(3)*6 + -5.
-5 + 6*sqrt(3)
Simplify (sqrt(121) - (sqrt(121)*-2*5 - sqrt(121)))/(sqrt(22)/sqrt(32)).
48*sqrt(11)
Simplify 4 + (sqrt(272) + -1 + sqrt(17) - sqrt(17)) + -1.
2 + 4*sqrt(17)
Simplify (sqrt(140) - ((sqrt(140) - (sqrt(140) + sqrt(140)*-1)) + sqrt(140) - sqrt(140)))/((sqrt(28) + (sqrt(28) - sqrt(28)*-1))/sqrt(4)).
0
Simplify (1 + (sqrt(95) - (sqrt(95)*-2 - sqrt(95))*-4 - sqrt(95) - sqrt(95))/sqrt(5)*5)**2.
-130*sqrt(19) + 80276
Simplify 1*4*(1 + sqrt(3)).
4 + 4*sqrt(3)
Simplify ((sqrt(275) + (sqrt(275) - (sqrt(275) - (sqrt(275) - (sqrt(275) + -2*sqrt(275))))))**2 + 0)*-2.
-4950
Simplify (sqrt(32) + -4 + (sqrt(2) - (sqrt(2) + 3*sqrt(242))))**2 + 1.
232*sqrt(2) + 1699
Simplify ((sqrt(3) - (sqrt(15) + sqrt(30)/sqrt(2))/sqrt(5)) + 4)**2.
-8*sqrt(3) + 19
Simplify sqrt(272) + -5 + sqrt(153)*1.
-5 + 7*sqrt(17)
Simplify -6*(sqrt(70)/sqrt(10))**2 + -4.
-46
Simplify 2*(-1 + (((sqrt(143)*5 - sqrt(143))/sqrt(11))**2 - sqrt(13) - sqrt(13))).
-4*sqrt(13) + 414
Simplify 1*(sqrt(1573) + 0 + 1)**2.
22*sqrt(13) + 1574
Simplify ((-3*sqrt(70)*-4)/sqrt(10) + 2)**2.
48*sqrt(7) + 1012
Simplify (sqrt(343) + (sqrt(343) - (sqrt(343) + -2*sqrt(343) + sqrt(343) + sqrt(343))) + 0)**2.
343
Simplify (3 + sqrt(34)/sqrt(2)*-3 + sqrt(68)/(-6*-2*sqrt(4)))**2.
-35*sqrt(17)/2 + 22121/144
Simplify (sqrt(45) - sqrt(5))*-3*2.
-12*sqrt(5)
Simplify sqrt(19)*2 + 3 + (-2 + sqrt(304) - sqrt(19)).
1 + 5*sqrt(19)
Simplify (sqrt(100)/sqrt(2) + sqrt(2) - -1*sqrt(2)*-3)**2.
18
Simplify (-2 + sqrt(2057)*-2 - sqrt(2057))**2.
132*sqrt(17) + 18517
Simplify (sqrt(1088) + -4*sqrt(1088) + sqrt(1088))**2 - sqrt(153)*2.
-6*sqrt(17) + 4352
Simplify -3 + -2*-1*sqrt(7)*-6.
-12*sqrt(7) - 3
Simplify (-1*sqrt(1008))/(sqrt(18)/(sqrt(2)*2)).
-8*sqrt(7)
Simplify -5 + sqrt(19) + 1 + 2.
-2 + sqrt(19)
Simplify (sqrt(95) + ((sqrt(95) - (-3*(sqrt(95)*-2 + sqrt(95)) + sqrt(95))) + sqrt(95) - sqrt(95)))/(sqrt(80)*-1).
sqrt(19)/2
Simplify sqrt(2) + sqrt(242)*-1 + -4*(-2 + sqrt(2)).
-14*sqrt(2) + 8
Simplify ((-6*(sqrt(102) - -1*sqrt(102)) - sqrt(102))/sqrt(6))**2 + 0.
2873
Simplify -4 + 2 + sqrt(637).
-2 + 7*sqrt(13)
Simplify sqrt(2057) - (-2 + sqrt(2057))*-6.
-12 + 77*sqrt(17)
Simplify (sqrt(2) + -1)*-6 - sqrt(4)/(sqrt(18)/sqrt(9)).
-7*sqrt(2) + 6
Simplify sqrt(17) + sqrt(17) + -2 + sqrt(153) - (-3*sqrt(170))/sqrt(10).
-2 + 8*sqrt(17)
Simplify (-3*sqrt(85)*2)/(sqrt(5)*3*2 + sqrt(5)).
-6*sqrt(17)/7
Simplify (sqrt(119)*-2)/sqrt(7) + -5.
-2*sqrt(17) - 5
Simplify ((1*sqrt(176) + sqrt(176) + sqrt(176) - sqrt(176))*-2*2)**2.
11264
Simplify sqrt(133)/sqrt(7) + 1 + 5.
sqrt(19) + 6
Simplify -6*sqrt(48) - sqrt(588)*-2.
4*sqrt(3)
Simplify (sqrt(20)/(2*sqrt(10)) + sqrt(24)/(sqrt(12)*-1))**2.
1/2
Simplify (sqrt(243) + -1 + -5)**2 + sqrt(243).
-99*sqrt(3) + 279
Simplify ((sqrt(63) - 1*sqrt(63))*2)/(1*(sqrt(18)/sqrt(2) + sqrt(9))).
0
Simplify ((-2*sqrt(330))/sqrt(10))/((sqrt(88) + 2*sqrt(88))/sqrt(8)).
-2*sqrt(3)/3
Simplify -2 + (6*sqrt(40)/sqrt(8))**2 + 1.
179
Simplify (sqrt(102)/(sqrt(18)/(-2*sqrt(3) - sqrt(3))))**2.
153
Simplify 6*sqrt(26)/sqrt(8)*6*3.
54*sqrt(13)
Simplify (-2 + sqrt(104)/(-3*sqrt(1152)))**2.
sqrt(13)/9 + 5197/1296
Simplify 2*(sqrt(20)/sqrt(4)*-4 - sqrt(20)/(sqrt(4)*-2)).
-7*sqrt(5)
Simplify 5 + (sqrt(117))**2 - sqrt(143)/(sqrt(11) - (sqrt(11) + sqrt(44))).
sqrt(13)/2 + 122
Simplify 3*(-2*(sqrt(500) + sqrt(500)*-2))**2.
6000
Simplify sqrt(1331)*3 + sqrt(99) + -2.
-2 + 36*sqrt(11)
Simplify (-4*sqrt(56)*-1)/sqrt(8)*6.
24*sqrt(7)
Simplify (1 + -3*sqrt(20)*-1*5)**2.
60*sqrt(5) + 4501
Simplify -2 + -5 + (-5 + sqrt(52))**2 + sqrt(13).
-19*sqrt(13) + 70
Simplify ((sqrt(190) - (sqrt(190) - (sqrt(190) + (-2*sqrt(190) - sqrt(190)))*-2))/sqrt(10)*6)**2.
10944
Simplify sqrt(84)/(-5*sqrt(12)) + sqrt(28)/(sqrt(12)/sqrt(3)).
4*sqrt(7)/5
Simplify 1 + sqrt(637) + 2 + (sqrt(13) - sqrt(468)).
3 + 2*sqrt(13)
Simplify (sqrt(30) - (sqrt(30) - sqrt(30)*-2))/sqrt(10) + 2.
-2*sqrt(3) + 2
Simplify (sqrt(102)*-1*-5 + sqrt(102))/sqrt(6).
6*sqrt(17)
Simplify ((5 + (sqrt(448) - -4*(-1 + sqrt(448))))*5)**2.
2000*sqrt(7) + 280025
Simplify 1*(sqrt(288) - (sqrt(288) - (sqrt(288) + -1))).
-1 + 12*sqrt(2)
Simplify sqrt(98) + 1 + sqrt(2) + 0 + -4*sqrt(2).
1 + 4*sqrt(2)
Simplify -1*(-2 + (-3*sqrt(8) - (-1 + sqrt(2)*-1))).
1 + 5*sqrt(2)
Simplify (sqrt(40)/sqrt(2) + (sqrt(720) + 1 - sqrt(5)) + -5)**2.
-104*sqrt(5) + 861
Simplify -5 + (sqrt(242) + 2)**2.
44*sqrt(2) + 241
Simplify (sqrt(1575)*2)**2 + -2*sqrt(7623) + sqrt(63).
-63*sqrt(7) + 6300
Simplify sqrt(3) + 3 + -2 + -2*(sqrt(3) - sqrt(27)).
1 + 5*sqrt(3)
Simplify -1 + sqrt(80) - ((sqrt(80))**2 + -3).
-78 + 4*sqrt(5)
Simplify (sqrt(40)*-2)/(sqrt(2)*1*-3).
4*sqrt(5)/3
Simplify (-3 + (sqrt(2736) - (-2 + 5*sqrt(2736) + sqrt(2736))))**2.
120*sqrt(19) + 68401
Simplify (1*sqrt(1900) + sqrt(1900))**2 + 0.
7600
Simplify 4*(2 + sqrt(15)/sqrt(5)).
4*sqrt(3) + 8
Simplify sqrt(11) + -1 + 3 - (sqrt(11)*-2 + 5).
-3 + 3*sqrt(11)
Simplify 1 + 1 + sqrt(272) + sqrt(272).
2 + 8*sqrt(17)
Simplify (sqrt(196)*-3)/sqrt(7).
-6*sqrt(7)
Simplify (-6*6*(sqrt(13) - ((sqrt(13) - sqr | {
"pile_set_name": "DM Mathematics"
} |
for q.
-5
Solve -v = 106 - 102 for v.
-4
Solve 210 = -44*l + 2*l for l.
-5
Solve 148*d - 7 = 141*d for d.
1
Solve -12*y = -78 + 126 for y.
-4
Solve -6*l = -2 + 20 for l.
-3
Solve 3*y - 5 = 4*y for y.
-5
Solve -7 - 5 = -3*w for w.
4
Solve 7*p = 4*p + 9 for p.
3
Solve 0 = -8*y - 39 - 1 for y.
-5
Solve -8*q - 4 = -12 for q.
1
Solve 0 = 32*j - 33 + 225 for j.
-6
Solve 3*z = 8*z - 5 for z.
1
Solve -r - 22 = -19 for r.
-3
Solve -339*s + 6 = -333*s for s.
1
Solve 148 = 28*n + 372 for n.
-8
Solve 2*u + 48 - 40 = 0 for u.
-4
Solve 93*q + 96 = 77*q for q.
-6
Solve 42*c + 2*c = 308 for c.
7
Solve 0 = -8*k - 7 - 1 for k.
-1
Solve 0 = 11*r - 76 + 21 for r.
5
Solve 0 = -8*j + 25 - 65 for j.
-5
Solve 0 = -392*w + 393*w for w.
0
Solve 2*t + 8340 = 8336 for t.
-2
Solve 0 = 4*i + 47 - 43 for i.
-1
Solve 27*j = 89*j - 310 for j.
5
Solve g = 1 + 4 for g.
5
Solve -5*k - 136 = -22*k for k.
8
Solve 852*t = 854*t for t.
0
Solve 4*h - 11*h = 2*h for h.
0
Solve -16 = 2*k - 24 for k.
4
Solve -122*i + 209 = -1011 for i.
10
Solve 2*u - 3*u = -5 for u.
5
Solve 8 = 5*x - 7*x for x.
-4
Solve -1 = -3*f - 4 for f.
-1
Solve -11*a - 4 = -9*a for a.
-2
Solve 188 = 21*k + 125 for k.
3
Solve 11*x + 76 = 65 for x.
-1
Solve 3*g - 95 = -110 for g.
-5
Solve -1 = p - 0 for p.
-1
Solve -155*h + 8 = -157*h for h.
-4
Solve -715*t - 44 = -704*t for t.
-4
Solve -12*b + 380 = 83*b for b.
4
Solve 105 = 31*c - 10*c for c.
5
Solve -35*q + 199 = 24 for q.
5
Solve 0*a = -13*a + 52 for a.
4
Solve 0 = -y + 2 - 3 for y.
-1
Solve -7*a = -14*a - 7 for a.
-1
Solve -8*s = -50 + 10 for s.
5
Solve 22*q + 72 - 28 = 0 for q.
-2
Solve 5*g + 2 = 7 for g.
1
Solve 12*x - 776 = -752 for x.
2
Solve 6*r - 6*r = -r for r.
0
Solve 26*u - 14 = 168 for u.
7
Solve -135*u + 25 = -140*u for u.
-5
Solve 3185 - 3175 = -2*j for j.
-5
Solve -5*z - 65 = -95 for z.
6
Solve 4*w - 12 = w for w.
4
Solve 0 = 7*f - 1207 + 1263 for f.
-8
Solve -10*n = 12*n + 88 for n.
-4
Solve 0 = -4*j + 6*j for j.
0
Solve 27*x = 30*x + 15 for x.
-5
Solve -u - 187 + 192 = 0 for u.
5
Solve 69*b - 3 = -141 for b.
-2
Solve 25 = -14*x + 19*x for x.
5
Solve 0 = 8*z - 9 - 15 for z.
3
Solve -6*r = 4*r + 20 for r.
-2
Solve -2 - 8 = 5*y for y.
-2
Solve -579*b + 575*b = -36 for b.
9
Solve 184 - 24 = -40*n for n.
-4
Solve 23*m - 7 + 7 = 0 for m.
0
Solve 152*a = 26*a - 1260 for a.
-10
Solve -11*i = -7*i + 8 for i.
-2
Solve -13*b + 1 - 27 = 0 for b.
-2
Solve -186*k = -175*k + 88 for k.
-8
Solve 0 = -18*g + 58 + 86 for g.
8
Solve -i = -16 + 18 for i.
-2
Solve 10*w - 28 = 24*w for w.
-2
Solve -47 + 62 = -3*u for u.
-5
Solve -5 = 72*a - 365 for a.
5
Solve -3*b - 13*b = -0*b for b.
0
Solve 3*u + 3 - 15 = 0 for u.
4
Solve -2*k + 7 = 3 for k.
2
Solve -34 = -9*j - 25 for j.
1
Solve 15*h = h for h.
0
Solve -8 = 19*r - 15*r for r.
-2
Solve 0 = -3*x - 0*x + 15 for x.
5
Solve -17*m + 13*m - 20 = 0 for m.
-5
Solve -21*x - 71 = -8 for x.
-3
Solve 60 = -23*c + 175 for c.
5
Solve -3*v + 20 = 2*v for v.
4
Solve 7*o + 36 = 71 for o.
5
Solve -17*m - 31 - 3 = 0 for m.
-2
Solve -7 = 2*r - 9 for r.
1
Solve -8*h + 207 = 15*h for h.
9
Solve 0 = 8054*y - 8052*y - 14 for y.
7
Solve -5*v - 9 = -4 for v.
-1
Solve 0 = 42*v - 37 - 47 for v.
2
Solve -58*h + 40*h = 108 for h.
-6
Solve -21 = -6*c - 51 for c.
-5
Solve -24*h + 85 = -7*h for h.
5
Solve -57 = 59*l + 120 for l.
-3
Solve -17*v + 22*v = -10 for v.
-2
Solve 388*g - 398*g = -60 for g.
6
Solve -7*o + 194 = 131 for o.
9
Solve 6*q + 31 - 1 = 0 for q.
-5
Solve 17 = -9*k - 8*k for k.
-1
Solve 28 = 2*l + 5*l for l.
4
Solve 13*y + 48 - 9 = 0 for y.
-3
Solve -96*s + 84*s - 60 = 0 for s.
-5
Solve 0 = -9*l + 3 - 12 for l.
-1
Solve 6 = -5*k + 1 for k.
-1
Solve -1561*y - 56 = -1553*y for y.
-7
Solve 3*p - 2 - 4 = 0 for p.
2
Solve -7*o - 20 = -13 for o.
-1
Solve -10*m - 40 = -2*m for m.
-5
Solve -8*g + 263 - 215 = 0 for g.
6
Solve -5*g = -12*g - 28 for g.
-4
Solve 44 = 16*g + 12 for g.
2
Solve -164*u - 35 = -169*u for u.
7
Solve 0 = 17*u + 16 - 67 for u.
3
Solve 1 = 2*k + 5 for k.
-2
Solve -22 = -14*f + 3*f for f.
2
Solve 11*t - 114 = 30*t for t.
-6
Solve n + 170 = 169 for n.
-1
Solve 288 = -185*y - 1562 for y.
-10
Solve -373*h + 371*h - 6 = 0 for h.
-3
Solve 2*o = 11 - 5 for o.
3
Solve -37 = -4*j - 61 for j.
-6
Solve -10*h = 180 - 200 for h.
2
Solve -26*l = -19*l for l.
0
Solve -25*c + 7 = -93 for c.
4
Solve z = -3*z + 20 for z.
5
Solve 29*d + 528 = 95*d for d.
8
Solve 3*s = -22 + 13 for s.
-3
Solve -52*s + 65*s - 78 = 0 for s.
6
Solve 136 - 21 = -23*y for y.
-5
Solve 0 = -7*n + 4*n - 12 for n.
-4
Solve -3*p - 1 = -7 for p.
2
Solve -91 + 261 = 17*z for z.
10
Solve 21 - 6 = -5*m for m.
-3
Solve -9*l - 147 = -165 for l.
2
Solve 54 - 42 = 3*c for c.
4
Solve 5 = -90*s + 91*s for s.
5
Solve -11*g + 0*g + 33 = 0 for g.
3
Solve 0 = -8*u - 22 - 42 for u.
-8
Solve 4 = 327*t - 329*t for t.
-2
Solve -119 = 26*p - 353 for p.
9
Solve 92*l - 9*l - 249 = 0 for l.
3
Solve -10 = -3*s + s for s.
5
Solve 20*i - 5*i = 60 for i.
4
Solve -18 = 4*g + 2 for g.
-5
Solve -28 = -7*n - 0*n for n.
4
Solve 11 = 2*d + 1 for d.
5
Solve -64*m + 71*m = 35 for m.
5
Solve -6*j - 20 = -26 for j.
1
Solve 0 = o - 4 + 7 for o.
-3
Solve 24*z - 3 = 25*z for z.
-3
Solve 55*c + 12*c = 335 for c.
5
Solve 10*f - 1 = 29 for f.
3
Solve 4*u - 21 = -13 for u.
2
Solve 25*l - 10*l = 15 for l.
1
Solve x - 11*x = 20 for x.
-2
Solve -3*l + 103 - 112 = 0 for l.
-3
Solve -6*i + 16 = -22*i for i.
-1
Solve -7*o + 7 = -0 for o.
1
Solve 8*i = -172 + 132 for i.
-5
Solve 27 = -20*f + 47*f for f.
1
Solve -4*c = -2*c + 10 for c.
-5
Solve 10 = -14*g + 9*g for g.
-2
Solve 55 - 7 = -8*o for o.
-6
Solve -215 = h - 44*h for h.
5
Solve 87 = -90*r + 267 for r.
2
Solve 0 = -12*p + 7*p + 20 for p.
4
Solve 0 = -10*m + 44 - 94 for m.
-5
Solve 2*o + 2*o - 16 = 0 for o.
4
Solve 0 = 6*x - 2*x - 8 for x.
2
Solve 125*c - 124*c = 0 for c.
0
Solve -7*l = -397 + 418 for l.
-3
Solve 47*r + 128 + 13 = 0 for r.
-3
Solve 140*l + 12 = 134*l for l.
-2
Solve 5*t - 31 + 16 = 0 for t.
3
Solve 23*r - 14*r + 36 = 0 for r.
-4
Solve -4*l - 2*l - 6 = 0 for l.
-1
Solve 91*s = 87*s + 20 for s.
5
Solve -153 = 2*i - 149 for i.
-2
Solve -75 = -34*h + 9*h for h.
3
Solve 14 = -2*t + 20 for t.
3
Solve 733 = 24*v + 589 for v.
6
Solve -16*y - 14 - 34 = 0 for y.
-3
Solve -67 = c - 72 for c.
5
Solve 0*z + 180 = 36*z for z.
5
Solve -118*a + 127*a + 18 = 0 for a.
-2
Solve 144*d = 145*d - 5 for d.
5
Solve -320 = -28*y + 68*y for y.
-8
Solve -44*b + 10 = -46*b for b.
-5
Solve 202*k - 221*k = 57 for k.
-3
Solve -209*p + 65 = -222*p for p.
-5
Solve 9*a = 11*a + 4 for a.
-2
Solve -u + 1 = -8 for u.
9
Solve 39 = -11*q - 38 for q.
-7
Solve 0 = 6*l - 13*l + 21 for l.
3
Solve -2 = -2*t + 3*t for t.
-2
Solve 0 = 21*w - 81*w - 75*w for w.
0
Solve -5 - 1 = -2*z for z.
3
Solve -44*g = -64 + 196 for g.
-3
Solve 0*j - 48 = -16*j for j.
3
Solve 668*w - 5 = 667*w for w.
5
Solve -14*l = -5*l + 18 for l.
-2
Solve 4*q + 13 = 29 for q.
4
Solve 15*o - 4*o = -13*o for o.
0
Solve 0 = -41*c + 60*c + 76 for c.
-4
Solve 7*h - 40 = -h for h.
5
Solve -13*g + 98 + 6 = 0 for g.
8
Solve -123*c + 120*c - 12 = 0 for c.
-4
Solve -5*d - 343 = -338 for d.
-1
Solve 1 = -a - 3 for a.
-4
Solve -8*w + 2 + 22 = 0 for w.
3
Solve 0 = -2*g + 3*g + 1 for g.
-1
Solve -17*h - 3 = -18*h for h.
3
Solve -12*v = -9*v + 3 for v.
-1
Solve 0 = -3*z - 8 - 1 for z.
-3
Solve -94*o + 39 = -81*o for o.
3
Solve n = -75 + 80 for n.
5
Solve 684*x - 20 = 679*x for x.
4
Solve 285 - 78 = -23*p for p.
-9
Solve 0 = 107*h - 98*h for h.
0
Solve 84 = 178*c - 164*c for c.
6
Solve -35*v - 72 = -44*v for v.
8
Solve 481*p - 48 = 469*p for p.
4
Solve -155*o = -158*o - 12 for o.
-4
Solve -9*v = 9*v - 72 for v.
4
Solve j + 2 - 4 = 0 for j.
2
Solve -68*v = -36*v - 36*v for v.
0
Solve 3*j - 5 + 11 = 0 for j.
-2
Solve -12*z + 88 - 148 = 0 for z.
-5
Solve 0 = 81*g - 96*g + 105 for g.
7
Solve -10 = h - 8 for h.
-2
Solve -2*i - 7 + 7 = 0 for i.
0
Solve -7*u + u = 12 for u.
-2
Solve -8*n + 2*n - 6 = 0 for n.
-1
Solve 51*f = 39*f - 48 for f.
-4
Solve -5*b - 5 = -10 for b.
1
Solve 35*c - 15*c = 160 for c.
8
Solve 0 = -3*j + 140 - 155 for j.
-5
Solve 13*w + 15 = -50 for w.
-5
Solve -3 = 206*y - 205*y for y.
-3
Solve -11*j + 6*j = 25 for j.
-5
Solve -15*x + 31 - 106 = 0 for x.
-5
Solve -10*o = -14 - 16 for o.
3
Solve 393 = -13*o + 445 for | {
"pile_set_name": "DM Mathematics"
} |
d = g + -13385. Calculate the common denominator of 11/10 and d.
80
Suppose 4*u + 10 = 6*u. Suppose 6 = f - u. Let m = -5 + 14. Calculate the least common multiple of f and m.
99
Let w = 39 - 87. Let i = -27/2 - w. What is the common denominator of 67/16 and i?
16
Let s be ((-3)/9)/(3/(-1206)). Suppose p + 16 = -p. What is the common denominator of (s/p)/(1 - -1) and 133/6?
24
Suppose g - 17 - 5 = 0. Suppose -40 = -2*u - 2*u. Calculate the smallest common multiple of u and g.
110
Calculate the lowest common multiple of (-57)/(-3) - 4 - 1 and 6.
42
Suppose o = 0, -z + 6*z + o = -160. What is the common denominator of (-1)/(-1)*380/z and -31/22?
88
Let l be (-912682)/11780 + (-14)/(-35). Let k = l + 2307/31. What is the common denominator of 23/22 and k?
418
Suppose p = -0*c - c + 155, 3*p - c = 445. What is the common denominator of ((-3)/4)/(9/p) and -65/9?
18
Suppose -9*b + 94 + 32 = 0. Calculate the lowest common multiple of b and 24.
168
Let r = 89 - 67. Calculate the least common multiple of (-1)/(-4) - (-165)/12 and r.
154
Suppose 0*y = -3*y + 51. Let b = y - 11. Suppose b*k = 4*k + 16. What is the least common multiple of k and 11?
88
Suppose k + k - 24 = 0. What is the smallest common multiple of 6 and k?
12
Calculate the common denominator of (40/(-15))/((-5)/12) and (-93)/2*(-2)/(-12).
20
Suppose -2*y = -1975 - 17107. Let p = y - 95329/10. Calculate the common denominator of p and 91/12.
60
Let j = 3961/14130 + -2/785. What is the common denominator of (-1)/2 + (-428)/(-64) and j?
144
Let w be 123 + (-2 - (-1 + -1)). Suppose -5*u - 13 = -w. What is the least common multiple of 4 and u?
44
Let q = -37389 + 1047009/28. What is the common denominator of ((-6)/(-3))/(72/(-594)) and q?
28
What is the common denominator of -47/8 and ((-27)/(-60))/((-5)/(-90))?
40
Let x = 7609/6 - 1273. Find the common denominator of -75/22 and x.
66
Let i = -6447433/6797 + 6640/7. Let v = 39804/6797 + i. Calculate the common denominator of v and -43/11.
77
Let c(n) = -n**3 - 10*n**2 - 12*n - 1. What is the common denominator of c(-8) and 17/2?
2
Suppose 3 = c - 5. Calculate the least common multiple of c and 5.
40
Let t(p) = 3*p - 43. Calculate the lowest common multiple of 8 and t(17).
8
Calculate the common denominator of (-2)/4 - (-106)/(-18) and -17/10.
90
Let a be (6/210)/((-12)/(-1032934)). Let q = a - 2463. Find the common denominator of 39/2 and q.
30
Let s(l) = -2*l. Let y be s(-2). Let k(f) = -2*f**3 - 5*f**2 - 5*f - 2. What is the smallest common multiple of k(-3) and ((-6)/2)/((-6)/y)?
22
Let j = 11 + -3. Suppose z = g + 4, 4*g = 3*g - 5*z + 14. What is the lowest common multiple of ((-7)/(-2))/(g/(-2)) and j?
56
Let q = 5 + -3. Let s = -7 + q. Let x = s - -13. What is the least common multiple of x and 2?
8
Let d be 40/(-30)*(-15)/2. Suppose 0*k = k - d. What is the smallest common multiple of k and 10?
10
Let p = 3 - 3. Calculate the common denominator of 73/12 and p + 0 - 295/100.
60
Let o = -5747 + 45905/8. Suppose -b - 25697 = 4*y, 15 = 5*y - 2*y. Let g = -463033/18 - b. Find the common denominator of o and g.
72
Let k = -6/3143 + 260929/31430. Find the common denominator of k and (-3)/(-2)*(-136)/(-66).
110
Let k = 183/5 - 631/10. Calculate the common denominator of k and 3 + -1 - (-195)/(-24).
8
What is the common denominator of 2/6 + 119/(-18) and (2 - (-250)/12)/3?
18
Let i = -54 + 57. What is the smallest common multiple of 27 and i?
27
Let i(g) = -2*g**3 - g - 1. Let v be i(-1). Suppose v*x - 17 = 3. Suppose -2*a - 4 = -18. What is the least common multiple of a and x?
70
Find the common denominator of (-381)/(-18) - (-5 - -3) and -31/20.
60
Suppose 2*o - 14 = -5*f, -4*o + f + 2 = -2*f. Let v(a) = a**2 + 13*a + 8. Let y be v(-12). Calculate the least common multiple of o and y + 18 + 2 + -2.
14
Find the common denominator of -56/3 and 97/(-24) + (-8)/4.
24
Let q be 3 - -4*(-3)/12. Suppose 0 = q*d + 2*f - 0*f - 24, 0 = 5*d + f - 76. Calculate the smallest common multiple of d and 2.
16
Find the common denominator of 37*((-10)/4 + 2) and 113/10.
10
Let c = -61 - -105. What is the least common multiple of 32 and c?
352
Let a = -455 + 2737/6. Let u be (-1)/4 + (-4946791)/672012. Let h = -1/18667 - u. What is the common denominator of a and h?
18
Let m = -6397/4 + 1615. Find the common denominator of m and 39/7.
28
Let b be ((-54)/(-4))/(3/(-183)). Let y = b + 841. What is the common denominator of y and -48?
2
Let s be 2*-15 - 0/1. Let u = s + 46. What is the lowest common multiple of ((-3)/(-2))/(6/56) and u?
112
Suppose -3*u - 5*y - 18 = 0, 3*u - y + 6 = -12. Find the common denominator of ((-19)/2)/(u - -14) and 51/4.
16
Suppose 0 = -2*n + 4*p + 104, 5*n - 4*p - 140 - 120 = 0. Calculate the least common multiple of n and 22.
572
What is the common denominator of 889/(-63) + 2/(-9) and -6/11?
33
Suppose 0 = -3*r + 5*q - 9 - 8, 0 = 2*r + 3*q + 5. Let g(t) = 2*t**2 + 5*t - 2. What is the lowest common multiple of g(r) and 18?
90
Let g = 4411 - 44221/10. Let b = 2247 + -17953/8. Calculate the common denominator of b and g.
40
Let q = -4709/2600 + -7/200. Suppose -3*r + 12 + 110 = y, y + 118 = 3*r. Calculate the common denominator of (-12)/r*26/6 and q.
130
Suppose -s = 4*p + 21, -7*p + 3*p - 16 = -4*s. Let g(y) = -y - 6. Let j be g(p). Let b = 4 - j. Calculate the smallest common multiple of b and 7.
35
What is the smallest common multiple of 12 and (0 - (-4)/5)/(23/690)?
24
What is the common denominator of 109/12 and 2 - 2 - 82/40?
60
Suppose 0 = -3*f + 15 + 51. Let j(i) = -12*i. What is the lowest common multiple of f and j(-1)?
132
Let k = -108 + 109. What is the smallest common multiple of k and 4*1 + (1 - 1)?
4
Suppose 3*u - 2751 = 5*n - 0*u, 3*u = 2*n + 1104. Let j = n - -1663/3. Calculate the common denominator of j and -49/8.
24
Let y(c) = c**2 - 3*c - 6. Let v be y(5). Let k = -3 + v. Suppose -9 = -i - k. What is the smallest common multiple of i and 4?
8
Let b(u) = u + 2. Let h be b(-6). Let m be 8159/h + (-4)/(-16). Let c = m - -2082. Calculate the common denominator of c and 0.
2
Let d = 82 + -27. Let n = d + -25. What is the lowest common multiple of 4/(-14) - n/(-7) and 2?
4
Let a = -27/97 + 9851/194. Find the common denominator of (4/56)/(1/107) and a.
14
Let o be (-6)/4*-1*2. Let t(h) = h**3 - 3*h**2 + 3*h - 1. Let r = 26 - 12. What is the smallest common multiple of t(o) and r?
56
Let t(p) be the second derivative of p**3/6 + 8*p**2 + 4*p. Calculate the least common multiple of 3 and t(-13).
3
Let x(z) = z**2 + 6*z + 2. Let g be (-2 - (2 - -5)) + 3. Let k be x(g). Calculate the lowest common multiple of 14 and k - (0/(-1))/3.
14
Suppose -3*n + 21 = -4*b, 4*n + 0*b - 28 = 4*b. Let m = n - -3. What is the smallest common multiple of 10 and m?
10
Let t = 0 + 32. Let v = -18 + t. What is the smallest common multiple of 16 and v?
112
Let b = 40 - -2. Calculate the lowest common multiple of 10 and b.
210
Let g(o) = -2*o + 6. Calculate the least common multiple of 18 and g(0).
18
Let c(l) = l**2 + 4. Let g(u) = -2*u**2 - u - 3. Let y(j) = -3*c(j) - 2*g(j). Let x = 16 - 22. What is the smallest common multiple of y(x) and 6?
18
Let v be (63760/(-300))/(6/95). Suppose 0 = 5*r - 7*f + 3*f - 16867, 0 = -2*r - 5*f + 6727. Let o = v + r. Calculate the common denominator of 15/8 and o.
72
Suppose -4*h - 2*m = -50, -3*h - m + 24 = -13. What is the smallest common multiple of 20 and h?
60
Let f = 68 - -58. What is the common denominator of (-302)/18 + (-28)/f and -45/4?
4
Suppose 29 = 6*q + 11. Calculate the lowest common multiple of 10 and q.
30
Suppose 0 = -4*j - 0*j + 112. Suppose -10 = -p - 4. What is the lowest common multiple of p and j?
84
Calculate the common denominator of 68/(-51)*27/11 and 9/19.
209
Let b = 11727 + -140635/12. What is the common denominator of 5 - 4 - (-42)/(-5) and b?
60
Calculate the lowest common multiple of ((-3)/1 - 0) + 8 - 2 and 6.
6
Let q = 2/263 + -9217/1578. Find the common denominator of (-87)/2 - (5 + -3) and q.
6
Suppose -3*r = -6*r + 54. What is the lowest common multiple of 16 and r?
144
Let m = 29 + -28. Calculate the smallest common multiple of m and 9.
9
Calculate the least common multiple of (-8)/20*(-5)/2 and 6.
6
Calculate the least common multiple of (-5)/(-20) + (-86)/(-8) and 11.
1 | {
"pile_set_name": "DM Mathematics"
} |
*r - 2*r) to the form o + l*r and give l.
9
Rearrange ((3 + 1 - 3)*(2 - 3 - 1) + 2 + 3 - 4 + 4 + 1 + 0)*(-v - 5*v + 3*v) to the form c + f*v and give f.
-12
Rearrange 27 + 2*c - 27 to j*c + l and give l.
0
Rearrange (10 + 5 - 49)*(-3*n**3 + 2*n - 2*n) to j*n**3 + o + y*n**2 + m*n and give j.
102
Rearrange -3 - x**3 + 0*x**3 + 0*x**3 + 3*x**3 + 7*x**2 to d + f*x**3 + z*x + t*x**2 and give d.
-3
Rearrange 3 - 1 - 2*k**3 - 8 to f + l*k**3 + v*k**2 + n*k and give n.
0
Express (-24*a - 7*a - 7*a)*(-1 + 1 + a**2) as l*a**2 + z*a**3 + t + o*a and give t.
0
Rearrange (c + 3*c - 3*c)*(3*c**2 - c**3 - 825 + 825 - 23*c) to the form w*c**2 + a*c + v + k*c**3 + r*c**4 and give r.
-1
Express (0*d + 0*d + 2*d)*(73*d**2 + 39*d**2 - 152*d**2 - 2*d) in the form l + z*d**3 + n*d**2 + m*d and give n.
-4
Rearrange 23*q + q**3 + 11*q + 3*q**2 - 5*q**2 to b*q**3 + u + m*q + h*q**2 and give b.
1
Rearrange (13 + 7*c - 13)*(-5 - 4 + 2)*(2 - 1 + 1) to f*c + o and give f.
-98
Rearrange 2*a**2 + 3*a - 3*a + (-2*a + 2*a - a)*(19 - 39*a - 72 + 37*a) to the form l + f*a + j*a**2 and give l.
0
Express (837 - 422 - 434)*(0*v**4 + v**4 - 2*v**4) as z*v**2 + x*v**4 + f + m*v**3 + j*v and give j.
0
Express -3*a**2 + 8*a**4 - 1 - 2 + 3*a**3 + 3 in the form j*a**2 + c*a**4 + y*a**3 + w*a + l and give y.
3
Express ((2*s - 3*s + 0*s)*(-3 + 0 + 1) - 2*s + 4*s + 0*s)*((1 + 2 - 1)*(-4*s - s + 3*s) + (2 - 2 + 1)*(4*s + 0*s - 5*s)) as h*s**2 + y + x*s and give h.
-20
Rearrange -42*b**2 + 80*b**2 - 42*b**2 to s + q*b**2 + t*b and give q.
-4
Rearrange (-4*a + 0*a + 3*a)*(-1 + 2*a + 1)*(3*a - 4*a - 3*a) to f*a**2 + y + w*a + o*a**3 and give o.
8
Rearrange -g + 3*g + 4 + 569*g**3 - 562*g**3 - g to k + z*g**2 + a*g**3 + h*g and give h.
1
Rearrange -9*t + t - 10*t**2 + 14*t**2 - 5*t**2 to the form s + b*t**2 + m*t and give b.
-1
Express 5*p**2 - 5*p**2 - 5*p**2 - 3*p**2 as j*p + t + w*p**2 and give w.
-8
Express (-49 - 10*i + 49)*(0 - 5 + 4)*(-3 + 4 - 4) - 2*i - 3*i + 3*i as u*i + h and give h.
0
Express 280 - 554 + 272 - 21*a in the form s*a + p and give s.
-21
Rearrange (3 - 4 + 0 + (-4 + 6 - 1)*(-1 + 4 - 2) + 0 - 1 + 2)*(47*a + 12*a - 14*a) to the form q*a + m and give q.
45
Express (29 - 22 + 121 + (4 - 7 + 2)*(-2 - 3 + 3) + 1 + 1 - 1)*(t**3 - 5*t**3 + 2*t**3) as a*t**2 + u + h*t**3 + j*t and give h.
-262
Rearrange -2 + 4 - 14*h - 2 to z + t*h and give t.
-14
Rearrange -3*n**2 + 5 - 5 - 2*n**2 - n**4 - n**3 to the form p*n**4 + b*n**3 + l + i*n**2 + y*n and give i.
-5
Rearrange (-6 + 6 - 3*b**2)*(-1 + 1 - b) + b**3 + 0*b**2 + 0*b**2 to m + q*b**3 + h*b + p*b**2 and give q.
4
Express (-3*d**2 + d**2 + 3*d**2)*(-2 + 12 + 21) in the form i*d + h + b*d**2 and give b.
31
Express (3*q - 4*q - q)*(-4*q - 2*q + 4*q) + 10*q**2 - 14*q**2 - 6*q**2 as m*q**2 + h + x*q and give m.
-6
Rearrange -18*h - 3*h**3 + 17*h - 12*h**3 to the form l + z*h**3 + g*h + d*h**2 and give z.
-15
Rearrange 4 + 7*j**2 - 4 to the form u + n*j + d*j**2 and give d.
7
Express b - 7*b**3 - 3*b - 2*b**2 + 4*b + 1 in the form m*b**3 + f*b + s*b**2 + k and give k.
1
Rearrange -4*n + 5*n + 0*n + (-4 + 2 + 0)*(3*n - 2*n - 3*n) to u*n + d and give d.
0
Express -3*x**3 + 0*x**3 + 2*x**3 + 1 - 2*x**3 as d*x**3 + t*x + r + s*x**2 and give d.
-3
Express -4*l**2 - 15*l + l - 2*l**2 + 8*l**2 as b*l**2 + s + y*l and give y.
-14
Express -1 - 3 + 20*l + 4 in the form b*l + c and give c.
0
Rearrange (-j**2 + 9*j**3 - 10*j**3 - j**2)*(13 + 6*j - 13) to the form u + i*j**3 + l*j + z*j**4 + n*j**2 and give z.
-6
Rearrange (-2 - 3 + 0)*(-5 + g + 4 - 3) to w + a*g and give a.
-5
Express -1759*v**4 + 1757*v**4 - v**2 + 3*v**3 + 2*v - 2*v**2 as y*v**4 + d + w*v**3 + i*v + f*v**2 and give i.
2
Express (5 - 3 + 0)*(m**3 - m**2 + 3*m**3 + 2*m**3 + m) in the form i*m + c + u*m**3 + w*m**2 and give u.
12
Express 0*k**3 + 6*k + 2*k**3 - 19*k - 23*k in the form y + f*k + s*k**3 + q*k**2 and give s.
2
Express (-3 + 2 - 1)*(-w + 0 + 0)*(-3 + 2 + 0)*(3 - 5 - 1)*(0*w + 6*w - 4*w) as b + v*w + i*w**2 and give i.
12
Rearrange -2*k**2 + 4*k**2 + 3*k**4 + 4*k**2 - 2*k**4 + 1 to n*k**3 + h*k + c + q*k**2 + o*k**4 and give q.
6
Express -439*t + 439*t + 2 + 6*t**2 as n*t + b + h*t**2 and give n.
0
Rearrange 6*v**3 + 9*v - 2*v**2 + 0*v**3 - 5*v**3 - 2*v**4 to the form z*v**4 + l*v**2 + m + t*v + p*v**3 and give z.
-2
Rearrange 3*s**4 + 6*s**4 + s**4 + (s**3 + 2*s**3 - 4*s**3)*(3*s - 2*s - 3*s) to w*s**4 + a*s**2 + r*s + u*s**3 + x and give w.
12
Rearrange w**3 + 0*w**3 + w**2 - 4*w**3 to the form c*w**2 + m + z*w + h*w**3 and give h.
-3
Express -4*h + 13*h + 18*h**2 - 8*h as r*h + m*h**2 + x and give r.
1
Express -2*p + 2*p - 8*p + p as a*p + n and give n.
0
Rearrange -5*l - 16*l + 6*l to a + o*l and give o.
-15
Express -3*r - 5*r + 3*r as k + z*r and give z.
-5
Express 2*z + z**2 + 3*z + 0*z**2 in the form q + p*z**2 + g*z and give g.
5
Rearrange -5*n**2 - 63*n**2 + 26*n**2 + (1 - 1 + 2*n)*(n - 2*n - n) - n**2 + 5*n**2 - 2*n**2 to s*n + r*n**2 + l and give r.
-44
Express (5 - 4 - 2)*(12*w + 19*w - 71*w)*(-2 - 2 + 3) in the form y + v*w and give v.
-40
Rearrange (-5*y + 2*y + 5*y)*(10 + 8 + 1) + 4*y - 2*y - 4*y to l + d*y and give d.
36
Rearrange (-n - 4*n + 3*n)*(-n**2 + n**2 + n**3) + 15*n**3 - 9*n**3 + 9*n**3 - 5*n**4 to i*n + a*n**3 + x*n**4 + j*n**2 + r and give a.
15
Express 3*r**3 - r - 2*r**2 + 38*r**4 + 45*r**4 - 80*r**4 as n*r + v*r**4 + k*r**2 + j*r**3 + y and give j.
3
Rearrange (2 - 3 + 3)*(1 + 4 + 5)*(5*x - x - 2*x) to the form j*x + s and give j.
40
Express a**3 + a**3 + 2*a - 44 - 2*a in the form u*a + q*a**3 + b + g*a**2 and give q.
2
Express -19*y**2 - 36 + 10 + 17*y**2 as a*y**2 + z*y + n and give n.
-26
Rearrange -2*y + 7*y + 7*y - 2*y to u + n*y and give n.
10
Express (1 + 3 - 1)*(3*v + 568 - 13*v**4 - 568) as n*v**4 + z*v + b + j*v**3 + p*v**2 and give n.
-39
Express 15 + 3*f**2 - 44 + 5*f + 15 + 16 in the form l*f + o*f**2 + y and give o.
3
Rearrange -1 + 2*i + 3*i**2 - 3*i**2 - i**2 - 2*i**2 to the form j*i + n + y*i**2 and give y.
-3
Express (6 + 13 + 22 + 13)*(-3*i + 0 + 0) as v*i + p and give v.
-162
Rearrange 1 - 1 + 0 + 53*r to g + a*r and give a.
53
Rearrange 14*n**2 - n - 29*n**2 + 12*n**2 to the form f + i*n**2 + d*n and give d.
-1
Rearrange (0 + 2 + 0)*(-11 + p - 3 + 0) to c + x*p and give x.
2
Express (1 - 1 + x**2)*(0*x**2 - x**2 - x**2 + (2*x**2 + 4*x**2 - 4*x**2)*(0 + 3 - 1)) in the form k*x**4 + l*x**2 + c + u*x + i*x**3 and give k.
2
Rearrange -y**3 + 4*y**3 - y**3 + (-3*y + 2*y + 3*y)*(-2*y**2 + 3*y**2 - 4*y**2) to the form m + g*y**3 + o*y + d*y**2 and give g.
-4
Express (25*o**2 - 6*o**2 - 5*o**2)*(0*o**2 + 4*o**2 - 5*o**2) in the form v*o**4 + n*o**3 + h + t*o**2 + d*o and give v.
-14
Express 8*n**3 + n**4 + 4 + 7 - n**2 - 10 - 4*n**3 as j + v*n**3 + o*n**2 + c*n**4 + b*n and give j.
1
Express -330*c + 330*c - 10 + c**2 + (-4*c**2 + 4*c**2 - 3*c**2)*(2 - 2 - 1) as a + i*c + s*c**2 and give i.
0
Rearrange o - o**3 + 40 - 40 - 9*o to the form q*o**2 + x*o + k*o**3 + c and give x.
-8
Express 5 + 7 - 24 + 11 - d - 15*d**3 as n*d**2 + w*d**3 + b*d + c and give b.
-1
Rearrange -1 - 2 + 0*z + 0*z - 2*z**2 to i + o*z**2 + t*z and give i.
-3
Rearrange (1 - 3 + 0)*(-a - 2*a + 2*a) - 2*a - a + 4*a + (-3*a - 2 + 2)*(-1 - 2 + 1) to o + u*a and give u.
9
Rearrange (-1 - 4 + 3)*(-3*p + 2*p + 0*p) + 9 + 76*p - 40*p - 35*p to f*p + h and give f.
3
Rearrange (k**2 - 2*k**3 - k**2)*((4*k - 6*k + 0*k)*(0 + 2 + 0) + 12*k - 203 + 203) to the form x*k**3 + o*k**4 + v*k + l*k**2 + i and give o.
-16
Express (-7*x + 2*x + 2*x)*(0*x**2 + 4*x**2 - 5*x**2 + (0 - x + 0)*(4*x - x - 2*x)) in the form t*x**3 + d*x**2 + f*x + i and give t.
6
Rearrange (1 + 2*v - 1)*(-2 + 3 - 3) - 2*v + v + 3*v + (2 + 3 - 3)*(40*v - 118 + 118) + v - 3*v + v to r + d*v and give d.
77
Express 7*i + 0*i - i**2 + i**3 - 2 - 3*i + 6 as o + y*i + x*i**3 + h*i**2 and give x.
1
Rearrange 5*t - 15*t + t - 10*t to the form w + c*t and give w.
0
Express 5*n - 4*n + 2*n - 5 + 5 + 4*n - n - n + 3*n + (-1 + 1 - 2)*(0 - 2*n + 0) + (4*n - 3*n - 3*n)*(4 + 1 - 3) + 0 + 2*n + 0 as q + t*n and give t.
10
Express (-v - 9*v + 12*v)*(0 + 2 - 7) in the form j + g*v and give g.
-10
Express -10*x - 14 + 6 + 8 in the form y + g*x and give y.
0
Rearrange -39 - s + 39 + (2 - 3 + 0)*(-2*s + s - s) to m | {
"pile_set_name": "DM Mathematics"
} |
7*d**3/6 + 3*d**2 + 1. Find the first derivative of c(h) wrt h.
33*h**2
Let f(v) = -v**5 + v**4 + v**3 + v**2. Let i(q) = 5*q**5 + 5*q**4 + 5*q**3 - q**2. Let x(c) = -5*f(c) + i(c). Find the third derivative of x(y) wrt y.
600*y**2
Let d(r) be the first derivative of -r**6/6 - 11*r**3/3 + 14. Find the third derivative of d(v) wrt v.
-60*v**2
Let g(a) = -4*a + a**2 + 2 + 2 + 0. Let p be g(4). What is the derivative of 0*o**4 - 3*o**p - 1 + 4*o**4 wrt o?
4*o**3
Let x(w) = -12*w**3 + 3*w**2. Let s(v) = v**3 + v. Let o(i) = -3*s(i) - 3*x(i). Find the third derivative of o(l) wrt l.
198
Suppose 15 = 2*d + d. What is the third derivative of 0*w**5 + 5*w**2 - 3*w**2 - d*w**2 + 6*w**5 wrt w?
360*w**2
Let c(w) = -4*w**3 + 7*w**2 + 6. Let j = 9 - 4. Let u(g) = -j*g**2 - 4 - 2*g**3 + 0 + 5*g**3. Let r(t) = 5*c(t) + 7*u(t). What is the derivative of r(a) wrt a?
3*a**2
Suppose 0 = 2*a - 4*a + 18. Let t = -5 + a. What is the third derivative of 3*q**2 - 2*q**4 - q**t + 0*q**4 + 0*q**4 wrt q?
-72*q
Let j(m) = -m - 1. Let g(f) = 3*f**2 + 6*f + 4. Let o(w) = -3*g(w) - 12*j(w). Find the second derivative of o(q) wrt q.
-18
Let u(m) be the third derivative of -m**8/336 + 5*m**4/12 - 8*m**2. What is the second derivative of u(l) wrt l?
-20*l**3
Let d(i) = 2*i + 1. Let a be d(1). Find the first derivative of -4*s**4 + a*s**4 - 2 + 0*s**4 + 3*s**4 wrt s.
8*s**3
Let p(y) = 10*y**3 + 2*y. Let b(u) = 30*u**3 + 7*u. Let x(f) = 4*b(f) - 11*p(f). Find the second derivative of x(i) wrt i.
60*i
Let d(l) be the first derivative of 2*l**7 + l**3/3 - 11. What is the third derivative of d(f) wrt f?
1680*f**3
Let c(y) = -y**2 - 2. Let r(w) = 1. Let m(g) = -c(g) - 2*r(g). Let s(x) = -1. Let o(a) = 4*m(a) - s(a). Differentiate o(f) with respect to f.
8*f
Let v(b) be the second derivative of -29*b**5/10 - 30*b**2 - 71*b. Differentiate v(n) with respect to n.
-174*n**2
Let b(i) be the second derivative of -4*i + 1/4*i**4 + 1/6*i**3 + 0*i**2 + 0. Find the second derivative of b(k) wrt k.
6
What is the third derivative of -2*g**3 + 5*g**2 - 7*g**3 + 0*g**2 + g**3 wrt g?
-48
Let j be 4 + (4 + -2 - 3). Find the second derivative of -12*t**j + 12*t**3 - 4*t**5 - 4*t wrt t.
-80*t**3
Let x(m) be the third derivative of m**10/1680 + m**6/180 + m**3/3 - m**2. Let c(k) be the first derivative of x(k). Find the third derivative of c(o) wrt o.
360*o**3
Find the first derivative of 60*k - 42*k + 4 + 3 wrt k.
18
Let r be (-15)/(-2)*4/6. What is the second derivative of q**5 + 0*q**r - 4*q**5 + 3*q wrt q?
-60*q**3
Let d be (-3)/6*-2 - 5. Let z = -3 - d. Differentiate 6 - z - y - 3 with respect to y.
-1
Let w(n) = 8*n**2 + 6*n + 3. Let u(y) = -23*y**2 - 17*y - 8. Suppose 2*m + m - 9 = 0. Let k(v) = m*u(v) + 8*w(v). What is the second derivative of k(t) wrt t?
-10
Let r(v) be the third derivative of -31*v**6/120 - 11*v**5/30 + 32*v**2. What is the third derivative of r(l) wrt l?
-186
Suppose t - 9 = -2*t. Find the third derivative of -6*p**3 + 0*p**3 + p**2 + 5*p**t + 0*p**2 wrt p.
-6
Let t be 5 - 1/((-3)/(-6)). What is the third derivative of 3*u**2 + 0*u**2 - 3*u**2 + 7*u**5 + t*u**2 wrt u?
420*u**2
Let j(u) = -2*u**2 - 1. Let h(s) = 6*s**2 + 3. Let y = -6 + 2. Let l(q) = y*h(q) - 14*j(q). What is the first derivative of l(d) wrt d?
8*d
Let i(a) be the second derivative of -a**7/840 + a**5/60 - a**4/4 - a. Let m(r) be the third derivative of i(r). Differentiate m(v) wrt v.
-6*v
Let h(c) be the first derivative of -c**2 + 1 + 2*c + 1/6*c**3. Let m(t) be the first derivative of h(t). Find the first derivative of m(x) wrt x.
1
Suppose 2*k - d = 2*d + 15, -k + 5 = -d. Let x = 2 - k. What is the third derivative of -f**5 + f**5 + f**6 - 3*f**x + 5*f**2 wrt f?
120*f**3
Find the second derivative of -16*c**4 + 9*c + 7*c - 9*c wrt c.
-192*c**2
Let w(j) be the second derivative of 5*j**4/2 - 7*j**3/2 - 20*j. Find the second derivative of w(v) wrt v.
60
Let p(h) = h**4 + 3*h**2 + 13*h + 3. Let g(q) = -q**2 + q - 1. Let r(a) = 3*g(a) + p(a). What is the second derivative of r(m) wrt m?
12*m**2
Let l(h) be the second derivative of 0*h**3 + 0*h**5 - 1/14*h**8 + 0*h**6 + h + 0*h**2 + 0 + 1/12*h**4 + 0*h**7. What is the third derivative of l(w) wrt w?
-480*w**3
Let h(a) = -a. Let s(z) be the second derivative of z**2/2 - 2*z. Let f(u) = 2*h(u) - s(u). Find the first derivative of f(i) wrt i.
-2
Let g(z) = z**4 - 4*z**2 - 4*z + 3. Let x be (1 + -1)/3 + 1. Let h(w) = -w**4 - w**2 - w. Let i(s) = x*g(s) - 4*h(s). Differentiate i(m) with respect to m.
20*m**3
Let j(g) be the third derivative of -1/24*g**4 - 1/15*g**5 + 0 - 5*g**2 + 0*g + 0*g**3. What is the second derivative of j(d) wrt d?
-8
Let q be (-1)/3 - (-20)/(-30). Let f(j) = 3*j**3 + 6*j**2 - 6*j - 2. Let h(z) = z**3 + z**2 - z + 1. Let n(o) = q*f(o) + 6*h(o). Differentiate n(a) wrt a.
9*a**2
Suppose 17 - 2 = 5*p. What is the second derivative of -3*k**3 - 6 + 9 - p + 3*k wrt k?
-18*k
Let r(i) be the second derivative of 2*i**7/21 - i**6/10 + 4*i**4 - 23*i. What is the third derivative of r(y) wrt y?
240*y**2 - 72*y
What is the third derivative of -t**4 - 3*t**2 + 24*t**2 + 6*t**3 - 47*t**2 wrt t?
-24*t + 36
Let t(z) = -5*z**2 + 4*z - 55. Let y(w) = 5*w**2 - 4*w + 54. Let g(c) = -4*t(c) - 3*y(c). Differentiate g(a) wrt a.
10*a - 4
Let n(h) = -h**2 - 1. Let t(a) = 59*a**2 - 11*a + 3. Let k(p) = 5*n(p) + t(p). What is the second derivative of k(q) wrt q?
108
Suppose -3*l = -6 - 3. What is the derivative of o**3 - o**l + 3 + o**3 wrt o?
3*o**2
Let k be -10*(-1)/2 + -1. Suppose -i + 4 = k*q, 4*q = 4*i + q - 16. Find the second derivative of -9 + 9 + 2*v**i - v wrt v.
24*v**2
Suppose -3*z - 4 = -19. Suppose 2*c + u = -2*c + 7, -z*c = 3*u. Find the third derivative of -3*s**2 + 0*s**3 + 0*s**c + 3*s**3 - 2*s**3 wrt s.
6
Let z(f) = -4*f**2 + 4 - 2*f**2 - 6*f + 5 - 2. Let q(l) = 6*l**2 + 5*l - 6. Let d(a) = 7*q(a) + 6*z(a). What is the second derivative of d(n) wrt n?
12
Let y(p) = -p**2 + 1. Let x(c) = 8*c**3 + 4*c**2 + 13*c - 4. Let g(f) = -x(f) - 4*y(f). Find the second derivative of g(l) wrt l.
-48*l
Let o(r) be the second derivative of r**7/2 + 3*r**3 - 24*r. Find the second derivative of o(b) wrt b.
420*b**3
Differentiate -2*m + 7*m + 9*m + 1 - 5 wrt m.
14
Let a(g) = -g - 4. Let v be a(-6). Find the third derivative of v*w**2 + 3*w**2 + 42*w**3 - 38*w**3 wrt w.
24
Let c(g) be the first derivative of 13*g**4/2 + 5*g**2 - 35. What is the second derivative of c(m) wrt m?
156*m
Let o(u) be the second derivative of -13*u**6/30 - 4*u**3/3 - 10*u. What is the second derivative of o(m) wrt m?
-156*m**2
What is the third derivative of 0*w**4 - 70 + 70 - 14*w**4 - 7*w**2 wrt w?
-336*w
Suppose -4*z - a + 14 = 0, 0*a = -a - 2. What is the third derivative of -1 - 2 - 4*x**2 - x**z + 3 wrt x?
-24*x
Let t(z) = 3*z**4 - 6*z**3 - 6*z**2 + 6*z + 15. Let r(n) = -n**4 + n**3 + n**2 - n - 1. Let y(q) = -6*r(q) - t(q). Differentiate y(h) wrt h.
12*h**3
Let q = -6 + 8. What is the derivative of -2*h**4 - h**4 + q + 5*h**4 wrt h?
8*h**3
Let u(n) be the second derivative of 11*n**4/12 + 30*n**2 - 3*n + 2. What is the first derivative of u(w) wrt w?
22*w
Let t(c) be the first derivative of -12*c**7/7 - c**3/3 - 11. What is the third derivative of t(s) wrt s?
-1440*s**3
Find the second derivative of 4*k**3 - 4*k**3 + 23*k - 27*k**4 + 0*k**3 wrt k.
-324*k**2
Suppose 13*x = 16 + 10. Let j(h) be the first derivative of 0*h + 0*h**4 - 2/5*h**5 - x + h**3 + 0*h**2. Find the third derivative of j(s) wrt s.
-48*s
Suppose -44 = -k + 3*p, 3*k + 4*p - 96 = -k. Find the second derivative of 29*h**2 - k*h**2 - 4*h**4 + 4*h wrt h.
-48*h**2
Let n(w) = w**2 - w. Let c(u) = -3*u**3 + 2*u**2 - 4*u. Let q(i) = -i + 5. Let b be q(7). Let k(d) = b*n(d) + c(d). Find the second derivative of k(h) wrt h.
-18*h
Let z(l) be the first derivative of -l**2 + 0*l**4 + 0*l**5 - 1/3*l**6 + 0*l**3 + 0*l - 1. What is the second derivative of z(x) wrt x?
-40*x**3
Let b(m) = -2*m**3 + m**2 - 3*m. Let l = 4 + -7. Let d(j) = -j**3 + j**2 - j. Let q(r) = l*d(r) + b(r). Find the third derivative of q(g) wrt g.
6
Let t(q) be the first derivative of -27*q**4/4 - 19*q**2/2 - 6. What is the second derivative of t(p) wrt p?
-162*p
Let o(i) = 24*i**4 - 11*i**2 - 26*i + 11. Let g(d) = 8*d**4 - 4*d**2 - 9*d + 4. Let h(c) = - | {
"pile_set_name": "DM Mathematics"
} |
What is the units digit of x?
3
Suppose 4*t = -5 + 1, -c + 3*t + 10 = 0. Suppose 2*s = c - 1. Suppose 0*n - 3*i - s = -3*n, -5*i = -2*n - 13. What is the units digit of n?
6
Let m(x) = x**2 + 4*x. Let d be m(-3). Let f = d - -14. What is the tens digit of f?
1
Suppose 3*g = 4*b + 14, 3*g - 6*b + b = 13. Let q be ((-3)/12*0)/1. Suppose q = -5*u + g + 9. What is the units digit of u?
3
Let w(u) = u - 1. Let g(i) = 4*i - 5. Let j(s) = g(s) - 3*w(s). What is the units digit of j(3)?
1
Let t be (-2 - 4 - -1)*-1. Let m = -31 + 31. What is the units digit of t - ((-6 - -3) + m)?
8
Suppose 4*t = 5*t + 28. Let g be 80/(-14) + 8/t. Let i(s) = s**2 + 2*s - 4. What is the units digit of i(g)?
0
Suppose 0 = 2*g + p - 3, 0 = -5*g + 2*p + 2*p - 12. Suppose c = -g*i - 4*i + 52, c - i = 32. What is the units digit of c?
6
Let g = -34 - -82. Suppose -3*b = b - g. What is the units digit of b/(-2)*-1*1?
6
Let o = -56 + 106. What is the tens digit of o?
5
Let m(u) = u**3 - u - 1. Let j be m(-2). Let n(h) = -h**2 - 6*h + 2. Let w be n(j). Let s = w - -8. What is the units digit of s?
3
Let h(y) = -y**3 + 7*y**2 + 8*y + 7. Let q = 2 + 6. What is the units digit of h(q)?
7
Let c = 7 - 1. Let j be 2/c - (-178)/6. Let f = -18 + j. What is the tens digit of f?
1
Suppose -3*m + 2*m + 15 = 0. Suppose 5*a + 0 = m. Let u = 4 - a. What is the units digit of u?
1
Let y be 1/(18/(-10) + 2). Suppose y*b + 6 = 16. Suppose -4*z + 24 = 4*x, -5*x - b*z + 27 = 2*z. What is the units digit of x?
3
Let g = 19 - 31. Let h(b) = b**3 + 12*b**2 - 2*b + 14. What is the units digit of h(g)?
8
Suppose 2*z = -5*l + 212, l + 1 - 33 = -3*z. What is the units digit of l?
4
Let d(r) = r**2 + r + 2. Let v be d(0). What is the tens digit of 53/v + (-12)/8?
2
Suppose 3*p - 5*n + 0*n - 32 = 0, 0 = -2*p - 4*n + 36. Let t be 3/5 - (-96)/(-10). Let b = t + p. What is the units digit of b?
5
Suppose 284 = 10*z - 6*z. Suppose -c - 16 = 2*r - z, 3*c + 69 = 3*r. What is the units digit of r?
6
Suppose 1 = 5*t - 4. Let a = 9 - t. What is the units digit of a?
8
Suppose 2*f - 5 = -p, -5*f = -8*f - 3*p + 12. Let m(o) = 6*o**3 + 1. Let g be m(f). Suppose -g = 2*t - 27. What is the units digit of t?
0
Suppose -3*b = x + 4, -3*x + 2 = -0*b + 2*b. Suppose x*i - 2*r = 82, r - 76 - 18 = -2*i. What is the tens digit of i?
4
What is the hundreds digit of 6/27 + (-2473)/(-9)?
2
Let r = 6 - 4. What is the units digit of 4 + (r - (2 + -1))?
5
Let x(i) = -2*i**3 - 3*i**2 - i + 2. Let a be x(-2). Suppose 2*s = -0*s + 8. Suppose -s*j = -a - 16. What is the units digit of j?
6
What is the tens digit of 3 + (-124)/(-3 + -1)?
3
Let i = -11 - -4. Let t = -3 - i. What is the units digit of t?
4
Let q(u) = u**2 - 3*u - 2. Let a be q(5). Suppose -5 - a = -z. Let o = z - 8. What is the units digit of o?
5
Let a(n) be the third derivative of n**6/40 - n**5/60 + n**3/6 + 3*n**2. Let p be a(1). Suppose p*w = -10 + 31. What is the units digit of w?
7
Let c(l) = -l - 5. Let b be c(-5). Suppose b = -5*n - 2*j + 6, 0 = n + 3*j - j - 6. What is the units digit of -1 + 2 - n - -1?
2
Suppose t + 11 = -4*j, 6*t = 3*j + 2*t + 13. Let b = j - -12. What is the units digit of b?
9
Suppose 20 = -0*a + 4*a, 2*a + 102 = 2*n. What is the tens digit of n?
5
Suppose 0 = i + 2*s - 12, -2*s - 5 = -i + 15. What is the tens digit of i?
1
Let u be 6/(-21) + 9/7. Let o be 2 + 1 - (u + 0). Suppose 3*d + 26 = 2*v, 4*d = o*v + v - 38. What is the units digit of v?
0
Let m = -17 + 55. What is the tens digit of m?
3
Suppose 0 = -3*x + x - 5*b + 37, -3*x - 2*b + 39 = 0. Suppose -114 = -5*y + x. What is the units digit of y?
5
Let t = 9 - 5. Suppose 5*x - t*b - 14 = 54, b = -x + 10. What is the units digit of x?
2
What is the units digit of 36 - (-1 - 1 - -3)?
5
Let y = 17 + -4. What is the units digit of y?
3
Suppose 8*y - 3*y = 130. What is the units digit of y?
6
Let d(r) = -13*r - r**2 + 2*r**2 + r**2 - 5 + 17*r. What is the tens digit of d(-4)?
1
Let i(g) = -g**3 - 12*g**2 - 11*g + 3. Let l be i(-11). Suppose 0 = 3*r - 15 - l. Let c = r + 5. What is the tens digit of c?
1
Let q(x) = x**3 - 11*x**2 - 15*x + 18. Let r be q(12). What is the tens digit of (-975)/r - 2/12?
5
Let g be 5/1*(-6)/(-6). Suppose 0 = -g*o + 5. Let w = 7 - o. What is the units digit of w?
6
What is the units digit of (-235 + -2 + 4)/((-5)/5)?
3
What is the units digit of (-652)/(-14) - 16/28?
6
Suppose -32 - 38 = -5*z. Let d = z - -6. Suppose -4*g = -d - 4. What is the units digit of g?
6
Let f = -24 - -6. Let x = 28 + f. What is the tens digit of x?
1
Suppose -3*t = 2*a - 4*t + 4, -4*t + 16 = a. Suppose a = 3*j - 4 - 11. What is the units digit of j?
5
Let v be (2/(-6))/((-2)/24). What is the units digit of (v/5)/((-1)/(-5))?
4
Let h = 8 + -7. What is the tens digit of (42 - 4)*h + 3?
4
Suppose c = -0*c - 5. Let j = c + 10. Suppose -5*z - 3*b = -66, -58 = -z - 3*z - j*b. What is the tens digit of z?
1
Let y = 17 + -26. Let t = -6 - y. What is the units digit of t?
3
Let q(k) = 4*k**2 - 4*k + 2. What is the units digit of q(2)?
0
Let d be 20/(-6) + (-1)/(-3). Let q = -4 - d. What is the units digit of q - (0 - 10)/2?
4
Let p = -121 - -208. What is the tens digit of p?
8
Suppose 2*r - 6 = 20. Suppose 2*l - 77 = -17. Suppose 3*p = -w + 39, -2*p + r + l = -5*w. What is the tens digit of p?
1
Let m(s) = 6*s**2 - 29*s - 4. What is the tens digit of m(11)?
0
Let g(o) = -o**2 + 6*o - 5. Let h be g(4). Suppose h + 0 = m + t, t = 2*m - 6. Suppose m*p = 12 + 9. What is the units digit of p?
7
Let x = 16 - 11. Suppose x*s + 3 - 8 = 0. What is the units digit of (1 - s) + 1*3?
3
Let j(a) = a - 4. Let z be j(4). Suppose -4*k + 4 + 0 = z, -7 = -o + 5*k. What is the tens digit of o?
1
Suppose 0 = -2*c - i + 147, 4*i + 7 = -c + 63. What is the tens digit of c?
7
Let i be (3 + 0)/((-2)/(-2)). Suppose 17 + 3 = 4*r. Let n = r - i. What is the units digit of n?
2
Suppose 4*j + 2*r - r = -3, -5*j + 5*r = -15. Suppose 3*c + 2 - 8 = j. Suppose 0 = 2*g + c*g + 5*z + 8, -26 = -2*g + 5*z. What is the units digit of g?
3
Suppose 2*r = 4*d + 2, -5*r + d - 23 = 5*d. Let h = r + 10. What is the units digit of h?
7
Let s(l) = -2*l + 6. Let p be s(-8). Let m = 44 - p. What is the tens digit of m?
2
Let l be (-20)/(3/6*-1). Let q = -16 + l. What is the tens digit of q?
2
Suppose -2*j - j + 342 = 0. What is the tens digit of j?
1
Let v(w) = 15*w + 82. What is the tens digit of v(16)?
2
Suppose -u + 11 = y + 2*u, -2*y + 10 = 2*u. Suppose -4*v - 39 + 7 = 0. Let c = y - v. What is the units digit of c?
0
Let r(u) = -u**2 - 11*u. Let i be r(-11). Let c be -1 + i - (-4 + -7). Suppose -o = o - c. What is the units digit of o?
5
Let h(a) = 19*a**2 - 8*a - 19. What is the hundreds digit of h(-4)?
3
Let w = 58 + -17. What is the tens digit of w?
4
Suppose -2 = d - 3*t - 3, -4*t = d - 8. What is the units digit of (-27)/(-4) - (-1)/d?
7
Let m = 0 - -2. Suppose -3*s + 1 = -m. What is the units digit of 1 - (s - 2 - 3)?
5
Let m = -21 - -36. What is the tens digit of m?
1
Suppose 1 = -3*w - 8. What is the units digit of (-1)/w - (-8)/12?
1
Suppose -k + 7 = -2*y + 19, 3*y - 5*k = 11. What is the units digit of y?
7
Let s(m) = -m**3 + 2*m**2 + 3*m - 3. Let y be s(2). Suppose -1 - 2 = -y*q. What is the units digit of q?
1
Let a be 2/((-2)/1) + 0. Let r be (a/(2/(-4)))/(-2). What is the tens digit of (-2 - r) + 48/4?
1
What is the hundreds digit of 28/(-1)*(-37)/4?
2
Suppose -25 + 1 = -3*v. Suppose 3*r + 3*k - k = 6, 0 = 2*r + k - 4. Suppose -4*x + 4*g = v, 0 = -3*x + r*g - 4*g + 9. What is the units digit of x?
1
Suppose -1 = -h + 1. Suppose 0 = -2*f + h. What is the units digit of f?
1
Let c = -121 - -232. What is the tens digit of c?
1
Suppose 0 = z - 3*z + 20. Let q = 11 + z. What is the units digit of (q - -4)*4/10?
0
Let c(p) = 56*p**2 - p + 1. Suppose 5*z - 2 = 3*z. Let v be c(z). Suppose -6*b + v = -2*b + 4*o, -2*o = -3*b + 17. What is the units digit of b?
9
Suppose -77 = -3*l - l + r, -3*l + 62 = -5*r. Suppose -1 + l = -x. Let h = -10 - x. What is the units digit of h?
8
Let c(a) = a**3 - 6*a**2 + 6*a + 2. Suppose 4*i = -5*l - 3, 5*l = -9 - 6. Suppose -i*b = -12, -4*r - 5*b = -3*b - 28. What is the units digit of c(r)?
7
Let b(y) = 3*y**2 - y - 1. Let c be b(-1). Suppose k - 4*k = c. Let j(f) = -8*f**3 + 2*f + 1. What is th | {
"pile_set_name": "DM Mathematics"
} |
*3 + 312*o**2 - 46 + 385 wrt o?
-3*o**2 - 258*o
Let i(x) be the second derivative of 0 + 5/2*x**2 + 2/3*x**3 + 5/24*x**4 - 5*x. Let q(l) be the first derivative of i(l). What is the derivative of q(v) wrt v?
5
Let k(i) be the third derivative of -i**6/30 + i**5/15 - 7*i**4/24 + i**3/6 - 33*i**2. What is the second derivative of k(q) wrt q?
-24*q + 8
Let u be (1 + 1)*6/4. Suppose -5 = -m + u*o, 3*o - 2*o + 10 = 2*m. Find the second derivative of -m*s + 4*s**4 - s + 0*s wrt s.
48*s**2
Suppose 0*y - 12 = -6*y. What is the third derivative of -8*w**6 - 96*w**y + 94*w**2 + w**6 wrt w?
-840*w**3
Find the third derivative of 7*n**2 + 148 - 10*n**2 - 4*n**3 - 86*n**3 + 4*n**2 wrt n.
-540
Let s(z) be the first derivative of 35*z**2/2 - 128*z - 132. Differentiate s(x) with respect to x.
35
Let z(i) = -24*i - 45. Suppose -2*p = -3*p - 2. Let u(n) = 6*n - 4 + 15 - 9*n + 9*n. Let j(t) = p*z(t) - 9*u(t). Differentiate j(v) with respect to v.
-6
Let c(a) = 15*a**3 + 47*a**2 - 3*a + 1. Let b(l) = l**2 - l. Let j(d) = -3*b(d) + c(d). Find the third derivative of j(g) wrt g.
90
Let p(q) be the first derivative of 7 + 0*q**3 - 9/2*q**2 + 6/5*q**5 + 0*q + 0*q**4. Find the second derivative of p(r) wrt r.
72*r**2
Let u(p) be the second derivative of 5*p**6/72 - 29*p**4/24 - 4*p**3 - 4*p. Let x(s) be the second derivative of u(s). Find the first derivative of x(k) wrt k.
50*k
Let y = 33 + -29. Let p be 2*y*18/36. What is the second derivative of -p*a + 2*a**3 + 33*a**2 + 0*a**3 - 33*a**2 wrt a?
12*a
Let g(d) be the third derivative of d**9/10080 + d**6/720 + d**5/5 + 10*d**2. Let q(z) be the third derivative of g(z). What is the derivative of q(v) wrt v?
18*v**2
Let j(b) = 64*b**2 + 1167*b - 18. Let m(n) = -16*n**2 - 292*n + 4. Let t(g) = -2*j(g) - 9*m(g). What is the second derivative of t(c) wrt c?
32
Let t(y) be the third derivative of 191*y**6/120 - 53*y**5/60 - 2*y**2. Find the third derivative of t(s) wrt s.
1146
Differentiate 336*p**3 + 96 + 68 - 4*p**4 + 147 + 59 - 351*p**3 wrt p.
-16*p**3 - 45*p**2
Suppose -11*p = -9*p - 10. What is the third derivative of 3*n**3 - 19*n**2 + 7*n**p - 3*n**3 - n**5 wrt n?
360*n**2
Let v(h) be the third derivative of 271*h**7/210 + 268*h**3/3 - 69*h**2 + 1. What is the derivative of v(i) wrt i?
1084*i**3
Let w(b) = 25*b - 42. Let o(d) = -150*d + 252. Let y(f) = 75*f - 126. Let x(l) = 6*o(l) + 11*y(l). Let r(v) = -17*w(v) - 6*x(v). Differentiate r(j) wrt j.
25
Let m = 134 + -129. Find the third derivative of 73*u**2 - 4*u**5 - 124*u**2 + 2*u**4 + u**m wrt u.
-180*u**2 + 48*u
Let x(a) = 12*a**2 + 8*a + 121. Let c(h) = 12*h**2 + 6*h + 119. Let u(d) = -4*c(d) + 3*x(d). Differentiate u(n) with respect to n.
-24*n
Let l(i) be the third derivative of 41*i**7/210 + i**6/60 + i**5/15 + i**4/8 + 2*i**2 - 7*i. Find the third derivative of l(d) wrt d.
984*d + 12
Let b(m) = -5*m + 5. Let k be b(-5). Suppose a + k = 6*a. What is the third derivative of -4*c**5 + 7*c**5 - a*c**3 + 6*c**3 + 5*c**2 wrt c?
180*c**2
Let i(t) = -t**2 + 3*t - 1. Let l(d) = d**3 + 2*d**2 - 56*d + 222. Let p(w) = 2*i(w) + l(w). Find the first derivative of p(c) wrt c.
3*c**2 - 50
What is the third derivative of 64 - 4*m**5 + 3*m**3 - 18 + 11308*m**2 - 11306*m**2 wrt m?
-240*m**2 + 18
Let c(h) = h - 17. Let t be c(19). Let j(x) = 9*x - 3. Let p(y) = 1. Let k(b) = t*j(b) - 10*p(b). What is the first derivative of k(g) wrt g?
18
Let x(m) be the first derivative of m**5/5 - 86*m**3/3 + 821*m**2/2 - 544. What is the second derivative of x(g) wrt g?
12*g**2 - 172
Let y be -2 - (10/4)/(1/(-2)). Find the first derivative of 11*k**3 + 49 + 12*k**3 - 46*k**y - 4 wrt k.
-69*k**2
Let c(v) be the third derivative of v**8/40 + 23*v**4/12 + 19*v**3/6 + 2*v**2. Let w(x) be the first derivative of c(x). Differentiate w(z) wrt z.
168*z**3
Find the third derivative of 116*d**2 - 383*d**6 - 24*d**2 + 716*d**5 + 300*d**2 - 716*d**5 wrt d.
-45960*d**3
Let f(n) be the second derivative of -29*n**5/10 + 11*n**3/3 - 3*n**2/2 + 18*n. What is the second derivative of f(v) wrt v?
-348*v
Let j(x) be the second derivative of -13*x**6/3 + 41*x**4/4 - x**2/2 - 86*x + 2. Find the third derivative of j(n) wrt n.
-3120*n
What is the third derivative of 98*u - 180*u - 12*u**4 + 0*u**2 + 105*u + 12*u**3 - 2*u**2 wrt u?
-288*u + 72
Let f(o) = -188*o**2 + 4*o + 72. Let y(v) = -188*v**2 + 6*v + 70. Let a(b) = 3*f(b) - 2*y(b). Differentiate a(i) with respect to i.
-376*i
Let q(a) = 47*a**2 + 124*a + 6. Let k(w) = 188*w**2 + 496*w + 26. Let s(p) = -6*k(p) + 26*q(p). What is the second derivative of s(h) wrt h?
188
Let w = 34 + -30. What is the derivative of -b**4 - 1 + 9*b**w - 3*b + 3*b wrt b?
32*b**3
Let q(z) be the second derivative of 0*z**6 - 19/42*z**7 + 0*z**5 + 0*z**3 + 0*z**2 + 0 - 17*z - 11/6*z**4. What is the third derivative of q(o) wrt o?
-1140*o**2
Let r(q) be the first derivative of 0*q**2 - 17/3*q**3 + 0*q**4 + 0*q**6 + 0*q**5 + 0*q - 9/7*q**7 + 16. Find the third derivative of r(n) wrt n.
-1080*n**3
Suppose 0 = -4*z - d + 22, -23 = -3*z + 4*d + 3. Let x(p) = -p**3 - p**2 - 1. Let b be x(-2). Find the second derivative of 2*y + y**3 - z*y + y**b + 0*y wrt y.
12*y
Suppose 3*z = 8 - 5, -4*a - z + 9 = 0. Let g be (5 + 0)/(0 - -1). What is the third derivative of g*k**2 + 3*k**2 - a*k**4 - 3*k**2 wrt k?
-48*k
Let m be 6/15 + 264/15. Suppose -m = -5*q + 8*q. Let d(j) = -j**2 - 7. Let g(b) = -b**2. Let c(w) = q*g(w) - d(w). Differentiate c(p) with respect to p.
14*p
Let k(y) = 97*y**4 - 69*y**2 - 3*y - 3. Let h(f) = -291*f**4 + 206*f**2 + 8*f + 8. Let b(p) = -3*h(p) - 8*k(p). What is the third derivative of b(j) wrt j?
2328*j
Suppose 3*x = 8*x + 2*x. What is the derivative of x*c + 18*c**4 + 0*c + 29 - 6 wrt c?
72*c**3
Let k(f) be the second derivative of -25/12*f**4 + 0 + 0*f**2 - 19/6*f**3 - 23*f. Find the second derivative of k(n) wrt n.
-50
Let v be 0 - (-294)/8 - (-2)/8. What is the first derivative of -86 + 44 + 2*x + v wrt x?
2
Let k = -10 - -12. Suppose 10 - 2 = k*h. Find the first derivative of 6 + 2*u - h + 2 wrt u.
2
What is the derivative of -12*b**3 + 114 - 89 + 12*b**3 + 190 + 34*b**4 wrt b?
136*b**3
Let y(z) be the third derivative of 2*z**2 - 1/30*z**6 + 0*z + 0*z**5 + 0 + 2/3*z**3 + 0*z**4. Differentiate y(a) wrt a.
-12*a**2
Let r(f) be the first derivative of 16*f**5/5 + f**4/4 + 37*f**3/3 - 5. Find the third derivative of r(x) wrt x.
384*x + 6
Let a = 1 + 0. Let r(c) = -c**3 - 56*c**2 - 53*c + 114. Let n be r(-55). Differentiate -2 + 6 - 5*s**n + a with respect to s.
-20*s**3
Let r(v) be the first derivative of 65*v**6/6 - 27*v**2 + 61. Find the second derivative of r(l) wrt l.
1300*l**3
Differentiate 490 + 451*n**4 - 20*n**4 + 58*n**4 with respect to n.
1956*n**3
Let h = 89 + -86. Find the third derivative of -4*x**3 + 2*x**2 + 2*x**2 - 8*x**3 - 4*x**h wrt x.
-96
Let w = 154 + -152. Let y(v) be the third derivative of 1/8*v**4 + 0 - 6*v**w + 0*v + 2/3*v**3. What is the derivative of y(j) wrt j?
3
Find the second derivative of -66*p**3 - 9*p - 36*p**3 + 3*p**3 - 56*p**3 - 12*p wrt p.
-930*p
Suppose 18 = 5*b - 2*b. Let k be 4/10 - b/15. What is the second derivative of 2*f**2 + k*f + 3*f - 3*f**2 wrt f?
-2
Let s(n) be the third derivative of -n**8/168 + 31*n**7/210 - 37*n**5/30 + n**2 + 265*n. What is the third derivative of s(o) wrt o?
-120*o**2 + 744*o
Suppose 0 = b + b. Suppose -y - 2 = b, c + 2*c + y = 4. What is the third derivative of 2*o**4 - 2*o**2 + 3*o**2 - o**c + 3*o**2 wrt o?
48*o
Suppose -9*o = 5*o - 98. What is the second derivative of 22*a - a**3 - o*a**2 + 7*a**2 wrt a?
-6*a
Suppose l - 3*h = 43, -2*l + h - 6*h + 97 = 0. Suppose -a + 4*g = g - 46, 2*a = -3*g + 92. Find the third derivative of 7*q**2 + 6*q**5 + a - l wrt q.
360*q**2
Suppose 4*n + 3 = n - 3*q, -3*q - 12 = 0. Let o be 9*(n + (-7)/3). What is the third derivative of -7*j**2 + 7*j**4 - 7*j**4 + o*j**5 + 15*j**2 wrt j?
360*j**2
Let a(n) = n**3 + 4*n**2 - 1. Let c(m) = -78*m**4 + 3*m**3 + 13*m**2 + 111*m - 3. Let v(h) = 3*a(h) - c(h). What is the third derivative of v(g) wrt g?
1872*g
Let k = -19 - -21. Find the first derivative of 5*q**k - 21*q**2 - 6 + 1 wrt q.
-32*q
Let k(l) be the first derivative of -7*l**6/60 - 11*l**3/6 + 2*l**2 - 10. Let j(q) be the second derivative of k(q). Differentiate | {
"pile_set_name": "DM Mathematics"
} |
= 2*c**2 + 20*c + 7. Let w(o) = 5*q(o) + 2*y(o). Let k be w(-9). What is the tens digit of ((-115)/(-15))/(1/k)?
2
Let o be 265/20 - (-2)/(-8). Let q(u) = u**3 - 12*u**2 - 12*u - 15. Let f be q(o). What is the units digit of f/(-8) - 15/(-4)?
4
Suppose 898*b - 897*b - 1224 = 0. What is the hundreds digit of b?
2
Suppose 64*b = 69*b - 20. Let t(l) = 29*l + 13. What is the tens digit of t(b)?
2
Suppose -20*d + 25*d = 0. Suppose d = 3*v - 3*g - 63, -4*v + 3*v + 2*g = -26. What is the tens digit of v?
1
Let n be (-2)/1*(-18)/12. Suppose 0 = o + o - 2*k - 6, -n*o - k = -1. Suppose j - 11 = -o. What is the tens digit of j?
1
Let y = 216 - 215. What is the units digit of y?
1
Let l(b) = -6*b + 5. Suppose 4*a = -h + 13, -3*a + 3*h - 11 = -8*a. Suppose a = -2*i + i. What is the tens digit of l(i)?
2
Let n(x) = 8*x - 9. Let h be n(-8). What is the units digit of (-12)/6 + (0 - h)?
1
Let y = 50 + -52. What is the tens digit of 48/(-21) - y - 900/(-14)?
6
Let c be (1020/(-36))/((-1)/3). Suppose c = 2*v - 37. What is the tens digit of v?
6
Let t(c) = 0*c + 2*c**2 + 2*c**2 + 1 + 1 - 3*c. What is the tens digit of t(4)?
5
Let i be -1 + 5*(11 + -4). What is the units digit of (-2)/(-3) + i/3?
2
Suppose -56*g = -61*g + l + 1946, -2*g - 5*l + 800 = 0. What is the hundreds digit of g?
3
Let s(l) = 2*l**3 - l**2 - 10*l - 4. Let h be s(6). Suppose 0 = m - 3*m - 5*w + 160, -4*w = 4*m - h. What is the tens digit of m?
8
Let b(v) = -6*v**2 - 13*v + 25. Let z be b(6). Let w = -178 - z. What is the tens digit of w?
9
Let a(k) = 3*k. Let p be a(-4). What is the units digit of ((-4)/p)/((-1)/(-165))?
5
Let z(a) = -4*a**2 - a + 7. Let q be z(0). Suppose q*p - 114 = 180. What is the tens digit of p?
4
Suppose 0 = 5*d - 5*c - 30, -10 = -5*d - 5*c - 30. Let l = -4 - -4. What is the tens digit of 14 + 2 - (l - d)?
1
Let v(g) be the third derivative of 3*g**4/8 - 19*g**3/6 + 10*g**2. What is the hundreds digit of v(20)?
1
Let p = 77 - 75. Suppose -4*b + 155 = 3*n, -28 = -p*b + 5*n + 69. What is the units digit of b?
1
Let m = -404 - -778. Suppose 18*i = 7*i + m. What is the tens digit of i?
3
What is the tens digit of 4*(-10)/(-140) + 6879/7?
8
Suppose 11*b = 15*b - 888. Suppose -u + 7*a - 2*a + b = 0, -514 = -2*u - 4*a. What is the units digit of u?
7
What is the tens digit of (0 + 1 + -476)*8/(-20)?
9
Let v(t) = -t**3 - t**2 + 3*t - 4. Let l be v(-3). Suppose 0 = g - l*g - 96. Let f = 46 + g. What is the tens digit of f?
2
Suppose 5*t - 9 = 2*v - 46, 5*t + 3*v = -32. Let d = t + 55. What is the tens digit of d?
4
Suppose -f = 3*h - 30, 5*h - 2*h = -2*f + 30. What is the units digit of 394/h + (-6)/15?
9
Let j(g) = -15 - 6*g + 22*g - 9*g. What is the tens digit of j(9)?
4
Let o(n) = 31*n**2. Let s be o(-1). Suppose 0 = v + 4*u + 1, 4*v - u - 16 = s. Suppose 0 = 3*l + 2*l - j - 125, -l + 3*j = -v. What is the units digit of l?
6
Let k = 13 - 26. Let j = 6 + k. Let x = j - -12. What is the units digit of x?
5
Let n(b) = 10*b**2 + 10*b**2 - b + 2 - 4*b**2. What is the units digit of n(2)?
4
Let q = 3686 + -1178. What is the tens digit of q?
0
Suppose 4*c - 4476 = -2*k - 80, 0 = 3*c + 5*k - 3304. What is the units digit of c?
8
Suppose 5*o = o + 16. Suppose o*a + i - 314 = 542, 5*i = 4*a - 856. What is the hundreds digit of a?
2
Let l(d) = d**3 - 5*d**2 - 8*d + 10. Let t be l(7). Suppose -5*b + 268 = 4*c + 10, -c + t = -5*b. What is the units digit of c?
2
Let o = 52 + -72. Let b = o - -63. What is the tens digit of b?
4
Let w(u) = u**2 - 1. Let k(v) = -57*v**2 + v + 6. Let s(y) = -k(y) - 5*w(y). What is the units digit of s(-1)?
2
Let y(v) = 2*v + 36. Suppose -8 = -2*l, -4*l = 3*h - l - 36. Let b = 8 - h. What is the units digit of y(b)?
6
Let h = 1400 + -943. What is the tens digit of h?
5
Suppose 0 = -l + 5*d + 17, 3 = -5*d - 2. Let g(h) = -3*h + 0*h - l - 4*h. What is the units digit of g(-6)?
0
Let t(l) = 2*l**3 + l - 6. Let r be t(3). What is the units digit of 221/r*24/2?
2
Suppose -4*v + 3111 = 5*b, 32*b - 34*b - 1542 = -2*v. What is the tens digit of v?
7
Let k(c) = 9*c**2 + 13*c - 58. What is the tens digit of k(8)?
2
Let a = -368 + 2241. What is the units digit of a?
3
Let v(g) = -2*g**2 + 24*g - 17. Let z be v(11). Suppose 0*k - n = -4*k + 350, -z*k - 3*n + 446 = 0. What is the tens digit of k?
8
Suppose 3*y = -5*p - 74 - 129, 3*p = 4*y + 319. What is the tens digit of -5 - y/16 - (-3435)/12?
8
Suppose -8*n = -10*n + 170. Suppose -b - 5*o = -69, -2*b = -5*o - 38 - n. What is the units digit of b?
4
Let y(o) = -o + 10. Let r be y(8). Suppose 5*h - 13 = r. Suppose -66 = -h*p + 15. What is the units digit of p?
7
Suppose -160 = 5*h - 545. What is the units digit of h?
7
Suppose -2*v = -2*c + 8 - 2, v + c = 7. Suppose 2*d = 0, 2*a - 6 = v*d + 3*d. What is the units digit of a?
3
Suppose 0 = -t - 1 + 6. Suppose 5*h + 35 = 3*w + 2*w, -t*h + 1 = -2*w. What is the tens digit of (-324)/(-8)*8/w?
2
Suppose 63 = 5*j + 4*j. What is the tens digit of (4 - j)/(3/(-19))?
1
Suppose 444 = 3*x - 5*k, -86 = 3*x - 4*k - 533. Suppose 121 = w - x. What is the hundreds digit of w?
2
Suppose 4*l - 240 = -2*l. Suppose 48*v - 50*v = -l. What is the units digit of v?
0
Let m be 10/45 + (-68)/(-18). Let c = m - -1. Suppose 4*p + 21 = c*p. What is the units digit of p?
1
Suppose -320 = -2*f + 3*o, -8*f + 4*f + 680 = 4*o. What is the tens digit of f?
6
Let f(o) = o - 2. Let n be f(12). Suppose 0 = -n*a - 13 + 463. What is the units digit of a?
5
Suppose -3*y - 125 = 5*i + 2*y, i - 2*y = -10. Let k be (-3)/((-57)/i + -3). What is the tens digit of (56/5)/(4/k)?
5
Let w(p) = -p**2 - 132*p + 159. What is the hundreds digit of w(-58)?
4
Suppose -5*y + 677 = 5*l - 1543, -2*y = -3*l - 913. What is the hundreds digit of y?
4
Let p(x) = -23*x**3 + 4*x**2 + 4*x + 2. Let k be 16/120 - (-32)/(-15). What is the hundreds digit of p(k)?
1
Let b = 1540 + -585. What is the tens digit of b?
5
Let i = -405 - -787. Suppose 11*l - 608 = i. What is the tens digit of l?
9
Let s(m) = -m**3 + 6*m**2 - 2*m - 7. Let n be s(4). Suppose 4*u + 30 = 5*o, 17 = -4*o - 4*u + 77. Let y = n - o. What is the units digit of y?
7
Let r be (-595)/(-136) - (-3)/(-8). Suppose -v = -r*y - y - 88, 2*y = -2*v + 152. What is the tens digit of v?
7
Let d(g) = 4*g - 7. Let i(n) = n. Let o(p) = 3*d(p) + 15*i(p). What is the hundreds digit of o(6)?
1
Let l(s) = -2*s + 63. Let o(m) = m - 21. Let j(c) = 4*l(c) + 11*o(c). What is the tens digit of j(14)?
6
What is the units digit of 4 - (40/50)/(2/(-950))?
4
Let i(o) = 18*o**2 + 5*o**2 - 7*o**2 + 5 + 4*o + 4. What is the hundreds digit of i(-3)?
1
Let z(c) = 9*c**2 - 22*c**2 + 14*c**2 - 4 + 12*c. Let a be z(-11). What is the units digit of (20/(-6))/(a/90)?
0
Suppose 2 = 4*w - 2. Let i = 75 + w. What is the units digit of i?
6
Let f = 3204 + 580. What is the thousands digit of f?
3
Suppose 4*v + 5*c = 644 + 1249, -c - 1396 = -3*v. What is the tens digit of v?
6
Let z(o) = o**2 - 15*o - 13. Let p be z(17). Let y = 37 + p. What is the units digit of y?
8
Suppose 11 = -4*q - 77. Let l = 13 - q. Suppose l = 6*n - n. What is the units digit of n?
7
Let x = 23 - -11. Let a = x + 71. What is the hundreds digit of a?
1
Let g(x) be the third derivative of x**5/30 - x**4/6 - x**3/3 + 3*x**2. Let d be g(4). Suppose 2*i = 10 + d. What is the tens digit of i?
1
Suppose 2*m = -m + d + 7, d - 7 = -4*m. Suppose 3*o - 1053 = -3*i - m*i, -i - 2*o = -212. What is the tens digit of i?
1
Let c(u) = u**2 - 4*u - 5. Let b be 2/11 + (-6)/33. Suppose b = 7*v + 6 + 22. What is the units digit of c(v)?
7
Let h be -2*(40/4 + 1). Let y = -18 - h. Suppose 0 = -y*c + a + 59, 4*c - 2*a + 7*a = 65. What is the units digit of c?
5
Let m = -74 + 165. Suppose 3*q - m = -2*x, 2*x - 3*q - 2*q - 131 = 0. Suppose 14 = -3*z + x. What is the tens digit of z?
1
Let y(j) = -j - 7. Let w be y(-6). Let i = w - -4. Suppose -2*d = 5*t - 4*d - 60, 27 = 3*t - i*d. What is the units digit of t?
4
Suppose 3*m - 10 - 2 = 0. Let p(i) = 2*i**2 - 3*i + 9. Let t(k) = 2*k**2 - 2*k + 8. Let v(h) = m*t(h) - 3*p(h). What is the units digit of v(-4)?
3
Let x(q) = -q**3 + 11*q**2 + 13. Let a be x(11). Let k = a + -7. Suppose -2*s + k = -6. What is the units digit of s?
6
Let v(t) be the second derivative of t**4/4 - t**3/2 + t**2 - 13*t. What is the tens | {
"pile_set_name": "DM Mathematics"
} |
hat is the remainder when 862 is divided by 48?
46
Calculate the remainder when 5772 is divided by 77.
74
Calculate the remainder when 414 is divided by 42.
36
What is the remainder when 65 is divided by 7?
2
Calculate the remainder when 39 is divided by 10.
9
Calculate the remainder when 71 is divided by 10.
1
Calculate the remainder when 2019 is divided by 672.
3
Calculate the remainder when 63 is divided by 24.
15
What is the remainder when 1158 is divided by 572?
14
What is the remainder when 611 is divided by 41?
37
What is the remainder when 244 is divided by 22?
2
Calculate the remainder when 6 is divided by 1.
0
Calculate the remainder when 806 is divided by 45.
41
What is the remainder when 257 is divided by 34?
19
What is the remainder when 193 is divided by 65?
63
Calculate the remainder when 1400 is divided by 54.
50
Calculate the remainder when 914 is divided by 7.
4
What is the remainder when 556 is divided by 130?
36
Calculate the remainder when 117 is divided by 59.
58
What is the remainder when 79 is divided by 21?
16
Calculate the remainder when 726 is divided by 106.
90
What is the remainder when 3933 is divided by 197?
190
What is the remainder when 13 is divided by 4?
1
Calculate the remainder when 3862 is divided by 84.
82
Calculate the remainder when 2705 is divided by 50.
5
Calculate the remainder when 1229 is divided by 16.
13
Calculate the remainder when 498 is divided by 11.
3
What is the remainder when 5914 is divided by 97?
94
What is the remainder when 357 is divided by 95?
72
Calculate the remainder when 12820 is divided by 27.
22
Calculate the remainder when 746 is divided by 44.
42
What is the remainder when 29392 is divided by 23?
21
What is the remainder when 12527 is divided by 27?
26
What is the remainder when 102 is divided by 3?
0
Calculate the remainder when 4038 is divided by 9.
6
Calculate the remainder when 174 is divided by 44.
42
Calculate the remainder when 269 is divided by 55.
49
Calculate the remainder when 28665 is divided by 12.
9
Calculate the remainder when 211 is divided by 40.
11
Calculate the remainder when 11 is divided by 5.
1
What is the remainder when 256 is divided by 31?
8
Calculate the remainder when 3219 is divided by 18.
15
What is the remainder when 122 is divided by 18?
14
Calculate the remainder when 289 is divided by 153.
136
What is the remainder when 55 is divided by 31?
24
Calculate the remainder when 296 is divided by 10.
6
Calculate the remainder when 1014 is divided by 126.
6
What is the remainder when 266 is divided by 90?
86
Calculate the remainder when 526 is divided by 16.
14
What is the remainder when 1867 is divided by 72?
67
What is the remainder when 571 is divided by 154?
109
Calculate the remainder when 95 is divided by 84.
11
What is the remainder when 214 is divided by 79?
56
What is the remainder when 859 is divided by 425?
9
What is the remainder when 384 is divided by 210?
174
Calculate the remainder when 278 is divided by 70.
68
What is the remainder when 1345 is divided by 199?
151
Calculate the remainder when 476 is divided by 107.
48
What is the remainder when 318 is divided by 158?
2
Calculate the remainder when 747 is divided by 190.
177
What is the remainder when 84 is divided by 32?
20
What is the remainder when 142 is divided by 21?
16
Calculate the remainder when 62 is divided by 20.
2
Calculate the remainder when 6777 is divided by 33.
12
Calculate the remainder when 2315 is divided by 14.
5
What is the remainder when 692 is divided by 38?
8
Calculate the remainder when 159 is divided by 54.
51
What is the remainder when 4677 is divided by 1169?
1
What is the remainder when 170 is divided by 9?
8
Calculate the remainder when 1263 is divided by 16.
15
Calculate the remainder when 220 is divided by 142.
78
What is the remainder when 95871 is divided by 38?
35
What is the remainder when 259 is divided by 162?
97
What is the remainder when 220 is divided by 92?
36
What is the remainder when 2969 is divided by 35?
29
What is the remainder when 87 is divided by 31?
25
What is the remainder when 93 is divided by 27?
12
Calculate the remainder when 713 is divided by 21.
20
What is the remainder when 132 is divided by 23?
17
What is the remainder when 447 is divided by 42?
27
What is the remainder when 90 is divided by 33?
24
What is the remainder when 2511 is divided by 16?
15
Calculate the remainder when 50 is divided by 21.
8
Calculate the remainder when 35755 is divided by 261.
259
Calculate the remainder when 304 is divided by 11.
7
What is the remainder when 15678 is divided by 5225?
3
What is the remainder when 38 is divided by 20?
18
What is the remainder when 166 is divided by 45?
31
What is the remainder when 36477 is divided by 285?
282
Calculate the remainder when 58 is divided by 41.
17
What is the remainder when 60 is divided by 26?
8
What is the remainder when 518 is divided by 210?
98
What is the remainder when 2279 is divided by 15?
14
What is the remainder when 505 is divided by 58?
41
What is the remainder when 597 is divided by 25?
22
What is the remainder when 280 is divided by 130?
20
What is the remainder when 150 is divided by 89?
61
What is the remainder when 713 is divided by 55?
53
Calculate the remainder when 1033 is divided by 10.
3
Calculate the remainder when 1420 is divided by 52.
16
Calculate the remainder when 95 is divided by 14.
11
What is the remainder when 356 is divided by 30?
26
What is the remainder when 219 is divided by 23?
12
Calculate the remainder when 100 is divided by 23.
8
What is the remainder when 738 is divided by 731?
7
What is the remainder when 63 is divided by 47?
16
What is the remainder when 14191 is divided by 84?
79
Calculate the remainder when 2956 is divided by 23.
12
What is the remainder when 449 is divided by 25?
24
What is the remainder when 58 is divided by 16?
10
Calculate the remainder when 297 is divided by 70.
17
Calculate the remainder when 124 is divided by 42.
40
Calculate the remainder when 145 is divided by 131.
14
What is the remainder when 80 is divided by 2?
0
Calculate the remainder when 206 is divided by 90.
26
What is the remainder when 644 is divided by 6?
2
Calculate the remainder when 127 is divided by 6.
1
Calculate the remainder when 33 is divided by 28.
5
What is the remainder when 9682 is divided by 255?
247
Calculate the remainder when 1416 is divided by 94.
6
What is the remainder when 348 is divided by 35?
33
What is the remainder when 107 is divided by 26?
3
What is the remainder when 29272 is divided by 51?
49
What is the remainder when 1292 is divided by 21?
11
What is the remainder when 102 is divided by 77?
25
What is the remainder when 297 is divided by 7?
3
What is the remainder when 2090 is divided by 40?
10
What is the remainder when 1233 is divided by 408?
9
Calculate the remainder when 494 is divided by 99.
98
Calculate the remainder when 931 is divided by 450.
31
What is the remainder when 1105 is divided by 189?
160
What is the remainder when 1478 is divided by 25?
3
Calculate the remainder when 27300 is divided by 57.
54
What is the remainder when 28 is divided by 6?
4
Calculate the remainder when 9495 is divided by 3164.
3
What is the remainder when 80 is divided by 2?
0
What is the remainder when 361 is divided by 90?
1
Calculate the remainder when 169 is divided by 20.
9
Calculate the remainder when 12151 is divided by 118.
115
Calculate the remainder when 910 is divided by 317.
276
Calculate the remainder when 1660 is divided by 13.
9
Calculate the remainder when 109 is divided by 12.
1
What is the remainder when 110 is divided by 34?
8
Calculate the remainder when 430 is divided by 9.
7
Calculate the remainder when 593 is divided by 5.
3
What is the remainder when 2272 is divided by 565?
12
Calculate the remainder when 28671 is divided by 107.
102
What is the remainder when 278 is divided by 16?
6
What is the remainder when 51 is divided by 10?
1
Calculate the remainder when 503 is divided by 56.
55
What is the remainder when 18 is divided by 4?
2
Calculate the remainder when 213 is divided by 30.
3
Calculate the remainder when 112 is divided by 30.
22
Calculate the remainder when 1404 is divided by 354.
342
What is the remainder when 214 | {
"pile_set_name": "DM Mathematics"
} |
est integer?
4
What is the square root of 74380 to the nearest integer?
273
What is the third root of 7505683 to the nearest integer?
196
What is the cube root of 15937766 to the nearest integer?
252
What is 681187 to the power of 1/2, to the nearest integer?
825
What is the cube root of 15593328 to the nearest integer?
250
What is 11912698 to the power of 1/3, to the nearest integer?
228
What is 5587853 to the power of 1/3, to the nearest integer?
177
What is the sixth root of 986306 to the nearest integer?
10
What is 13386679 to the power of 1/9, to the nearest integer?
6
What is the sixth root of 496966 to the nearest integer?
9
What is the square root of 3335327 to the nearest integer?
1826
What is 1550499 to the power of 1/6, to the nearest integer?
11
What is 10414526 to the power of 1/5, to the nearest integer?
25
What is 15222787 to the power of 1/2, to the nearest integer?
3902
What is the third root of 276163 to the nearest integer?
65
What is the third root of 16947152 to the nearest integer?
257
What is the cube root of 48793 to the nearest integer?
37
What is 2133039 to the power of 1/2, to the nearest integer?
1460
What is 106250 to the power of 1/3, to the nearest integer?
47
What is the cube root of 59062 to the nearest integer?
39
What is 3142959 to the power of 1/3, to the nearest integer?
146
What is the tenth root of 1994485 to the nearest integer?
4
What is 292269 to the power of 1/2, to the nearest integer?
541
What is the seventh root of 7703404 to the nearest integer?
10
What is 4792033 to the power of 1/3, to the nearest integer?
169
What is the cube root of 5395554 to the nearest integer?
175
What is 22290 to the power of 1/3, to the nearest integer?
28
What is the square root of 2450964 to the nearest integer?
1566
What is the square root of 652296 to the nearest integer?
808
What is 385266 to the power of 1/6, to the nearest integer?
9
What is the third root of 228592 to the nearest integer?
61
What is 23598044 to the power of 1/3, to the nearest integer?
287
What is 3679802 to the power of 1/8, to the nearest integer?
7
What is the square root of 7207891 to the nearest integer?
2685
What is 3324688 to the power of 1/2, to the nearest integer?
1823
What is the tenth root of 495416 to the nearest integer?
4
What is the third root of 344003 to the nearest integer?
70
What is the square root of 4140764 to the nearest integer?
2035
What is the square root of 2993666 to the nearest integer?
1730
What is the eighth root of 1968359 to the nearest integer?
6
What is 362540 to the power of 1/2, to the nearest integer?
602
What is the ninth root of 440778 to the nearest integer?
4
What is 428915 to the power of 1/2, to the nearest integer?
655
What is the sixth root of 2752379 to the nearest integer?
12
What is 323488 to the power of 1/2, to the nearest integer?
569
What is 2426875 to the power of 1/4, to the nearest integer?
39
What is 3891405 to the power of 1/10, to the nearest integer?
5
What is the square root of 1193483 to the nearest integer?
1092
What is 264530 to the power of 1/7, to the nearest integer?
6
What is the square root of 63517 to the nearest integer?
252
What is the cube root of 182107 to the nearest integer?
57
What is the fourth root of 10279258 to the nearest integer?
57
What is the square root of 1097440 to the nearest integer?
1048
What is the eighth root of 1738506 to the nearest integer?
6
What is the square root of 284452 to the nearest integer?
533
What is the seventh root of 88474 to the nearest integer?
5
What is the third root of 27368 to the nearest integer?
30
What is the third root of 1069605 to the nearest integer?
102
What is the cube root of 815176 to the nearest integer?
93
What is 188958 to the power of 1/2, to the nearest integer?
435
What is the fifth root of 3376245 to the nearest integer?
20
What is 605659 to the power of 1/9, to the nearest integer?
4
What is 447598 to the power of 1/2, to the nearest integer?
669
What is 193251 to the power of 1/2, to the nearest integer?
440
What is 2246440 to the power of 1/2, to the nearest integer?
1499
What is the sixth root of 229155 to the nearest integer?
8
What is the square root of 14127027 to the nearest integer?
3759
What is 255578 to the power of 1/2, to the nearest integer?
506
What is the square root of 470464 to the nearest integer?
686
What is 1854480 to the power of 1/8, to the nearest integer?
6
What is the square root of 29358260 to the nearest integer?
5418
What is 33202731 to the power of 1/9, to the nearest integer?
7
What is the square root of 1386572 to the nearest integer?
1178
What is 1956630 to the power of 1/3, to the nearest integer?
125
What is the fifth root of 549710 to the nearest integer?
14
What is the square root of 75373 to the nearest integer?
275
What is 161257 to the power of 1/2, to the nearest integer?
402
What is 13699223 to the power of 1/3, to the nearest integer?
239
What is 191300 to the power of 1/2, to the nearest integer?
437
What is 2228547 to the power of 1/7, to the nearest integer?
8
What is the third root of 5981590 to the nearest integer?
182
What is 17986291 to the power of 1/5, to the nearest integer?
28
What is the cube root of 374054 to the nearest integer?
72
What is 120327 to the power of 1/3, to the nearest integer?
49
What is 10556200 to the power of 1/2, to the nearest integer?
3249
What is 2752374 to the power of 1/3, to the nearest integer?
140
What is 293208 to the power of 1/5, to the nearest integer?
12
What is the third root of 379212 to the nearest integer?
72
What is the fifth root of 135614 to the nearest integer?
11
What is the square root of 11760477 to the nearest integer?
3429
What is the third root of 237675 to the nearest integer?
62
What is the third root of 4154556 to the nearest integer?
161
What is the square root of 21214562 to the nearest integer?
4606
What is 1299423 to the power of 1/8, to the nearest integer?
6
What is the third root of 208840 to the nearest integer?
59
What is 24801725 to the power of 1/7, to the nearest integer?
11
What is 70466 to the power of 1/2, to the nearest integer?
265
What is 26843096 to the power of 1/3, to the nearest integer?
299
What is 1673658 to the power of 1/2, to the nearest integer?
1294
What is the seventh root of 6868722 to the nearest integer?
9
What is 12740737 to the power of 1/3, to the nearest integer?
234
What is the cube root of 302279 to the nearest integer?
67
What is 1735860 to the power of 1/9, to the nearest integer?
5
What is 3383349 to the power of 1/5, to the nearest integer?
20
What is the square root of 5738599 to the nearest integer?
2396
What is the third root of 37645 to the nearest integer?
34
What is 76840 to the power of 1/4, to the nearest integer?
17
What is the square root of 17892200 to the nearest integer?
4230
What is the ninth root of 9721748 to the nearest integer?
6
What is 97357 to the power of 1/2, to the nearest integer?
312
What is 221856 to the power of 1/4, to the nearest integer?
22
What is 1841577 to the power of 1/2, to the nearest integer?
1357
What is the square root of 12898368 to the nearest integer?
3591
What is the eighth root of 403418 to the nearest integer?
5
What is the third root of 558612 to the nearest integer?
82
What is the seventh root of 280147 to the nearest integer?
6
What is the square root of 1334910 to the nearest integer?
1155
What is the sixth root of 1230842 to the nearest integer?
10
What is 1651595 to the power of 1/2, to the nearest integer?
1285
What is the ninth root of 20275 to the nearest integer?
3
What is the third root of 15030581 to the nearest integer?
247
What is the square root of 652744 to the nearest integer?
808
What is the square root of 148002 to the nearest integer?
385
What is 270609 to the power of 1/9, to the nearest integer?
4
What is the cube root of 27481581 to the nearest integer?
302
What is 2768438 to the power of 1/4, to the nearest integer?
41
What is 120483 to the power of 1/2, to the nearest integer?
347
What is the fourth root of 947284 to the nearest integer?
31
What is the square root of 301968 to the nearest integer?
550
What is 35244 to the power of 1/2, to the nearest integer?
188
What is the third root of 3977 | {
"pile_set_name": "DM Mathematics"
} |
be the first derivative of -w**5/30 + 3*w**2/2 - 2. Let n(q) be the second derivative of b(q). Let c(k) = -k**2. Determine c(n(a)).
-4*a**4
Let t(d) = 5*d. Let w(p) = -9*p**2 + 2*p - 2. Let h(s) = 19*s**2 - 5*s + 5. Let z(c) = 2*h(c) + 5*w(c). Give z(t(v)).
-175*v**2
Let c(r) = -10*r**2 - 1. Let l(t) = -5*t**2 + 4*t + 8. Let k(i) = -6*i**2 + 5*i + 10. Let f(b) = 4*k(b) - 5*l(b). What is f(c(s))?
100*s**4 + 20*s**2 + 1
Let t(c) = c**2. Let l(d) = -3*d + 15. Let n be l(0). Let r(k) = 7*k - n*k + 10*k. Determine t(r(w)).
4*w**2
Let z(p) = -2*p**2 - 7*p. Let f(u) = -39*u. Calculate f(z(n)).
78*n**2 + 273*n
Let b(p) = -2*p. Let t(x) = 5 - 5 - x + 10*x. Let m(v) be the third derivative of -v**4/24 + v**2. Let w(u) = -33*m(u) - 4*t(u). Calculate w(b(n)).
6*n
Let s(x) = -3*x**2 + 16*x**2 - 9*x**2 - 5*x**2. Let y(v) = -8*v**2 - 1. Give y(s(z)).
-8*z**4 - 1
Let r(y) be the third derivative of 0 + 2*y**2 + 5/24*y**4 + 0*y + 0*y**3. Let x(d) be the third derivative of -d**5/60 + 3*d**2. Calculate r(x(t)).
-5*t**2
Let b(g) = 2*g. Let s(l) = -56*l - 2. Determine s(b(n)).
-112*n - 2
Let h(n) = 6*n - 16*n + 6*n + 5*n. Let z(p) = 4*p - 4*p + 7*p. Give h(z(b)).
7*b
Let z(q) = q - 1. Let t(c) = 8*c - 6. Let j(n) = t(n) - 6*z(n). Let v(m) = m**2 + 6*m - 5. Let s be v(-7). Let l(y) = 0*y + s*y - 3*y. Give l(j(g)).
-2*g
Let v(r) = 6*r**2. Let n(k) = -31*k**2. What is n(v(p))?
-1116*p**4
Let s(n) = -794*n**2. Let p(r) = -r. Give p(s(o)).
794*o**2
Let f(h) = 3*h - 2 - h + 2. Let r(x) = 30*x. Determine f(r(s)).
60*s
Let p(q) = -44*q - 9. Let d(l) = 11*l + 2. Let g(i) = -18*d(i) - 4*p(i). Let o(w) = 2*w**2. What is g(o(u))?
-44*u**2
Let l(a) = 2*a. Let m(x) = -2*x - 14094. Calculate m(l(v)).
-4*v - 14094
Let b(z) = -5*z + 19. Let n(a) = -2*a**2. Calculate n(b(r)).
-50*r**2 + 380*r - 722
Let m(p) be the third derivative of -p**5/30 - p**2. Let r(h) be the third derivative of 0*h**3 + 0*h + 0*h**4 - 7/60*h**5 + 0 - 5*h**2. Determine m(r(u)).
-98*u**4
Let v(b) = -542*b**2. Let k(i) = i**2. Determine v(k(z)).
-542*z**4
Let w(x) = -2*x**2. Let p(r) = -r - 51. What is p(w(k))?
2*k**2 - 51
Let l(v) = 7*v**2 + 4*v. Let n(m) = 13*m**2 + 7*m. Let y(s) = -7*l(s) + 4*n(s). Let u(c) = -c**2 + 3*c**2 - c**2. Determine u(y(j)).
9*j**4
Let n(p) be the second derivative of p**4/4 + 5*p. Let w(c) = -78 + 5*c + 78. Give w(n(q)).
15*q**2
Let l(j) = 3*j**2. Let k(u) = 115*u - 2. Give k(l(n)).
345*n**2 - 2
Let k(m) = 10*m + 13*m + 10*m - 35*m. Let o(c) = 0*c - c - 2*c. Determine k(o(g)).
6*g
Let t(f) = -2*f. Let v(p) = -p + 10. Let l be v(8). Let s(w) = -53*w**2 - w + 49*w**l + w. What is t(s(y))?
8*y**2
Let a(y) = 10*y + 5. Let n(v) = 6*v + 2. Let j(t) = 4*a(t) - 10*n(t). Let s(o) = 2*o**2. Give s(j(h)).
800*h**2
Let d(z) be the third derivative of -z**4/12 + 12*z**2. Let v(c) = -32*c. What is v(d(t))?
64*t
Let g(m) = 1408*m + 2. Let d(k) = 4*k**2. Give d(g(j)).
7929856*j**2 + 22528*j + 16
Let k(f) = 3*f. Suppose -2*j + 9 = -13. Let l(z) = z + 2. Let b(q) = -6*q - 11. Let w(n) = j*l(n) + 2*b(n). Determine k(w(g)).
-3*g
Let d(n) = -4*n - 3 + n + 5*n + 2*n. Let y(h) = h - 1. Let t(b) = d(b) - 3*y(b). Let v(j) be the first derivative of 2*j**2 - 2. What is v(t(u))?
4*u
Let y(m) = -4*m - 5*m + 0*m + 2*m. Let s(g) = -g - 1. Let d(w) = 2*w + 3. Let k(c) = -2*d(c) - 6*s(c). Give k(y(i)).
-14*i
Let s(d) = -3*d. Let b(h) = -3*h + 16 - 16 + 12*h. What is s(b(i))?
-27*i
Let s(t) = -2*t**2. Suppose -2*w + q - 6 = 3*w, 0 = 3*w - 4*q - 10. Let r be 8/(-3)*3/w. Let i(v) = -r*v**2 - v**2 + 0*v**2. Give i(s(o)).
-20*o**4
Let q(a) = -8*a**2. Let z(d) be the second derivative of 0*d**2 + 0 + 8*d + 1/2*d**3. Calculate q(z(l)).
-72*l**2
Let a = -6 - -10. Suppose 4 = -n, 3*z - a*z = 3*n + 12. Let u(f) = -f + f - f + z. Let b(g) = -2*g**2. What is u(b(m))?
2*m**2
Let p(h) be the first derivative of 1/6*h**3 + 0*h**2 + 2*h - 2. Let m(j) be the first derivative of p(j). Let t(c) = 2*c. Determine m(t(f)).
2*f
Let g(h) = 75*h**2 - h. Let o(f) = f**2. What is o(g(t))?
5625*t**4 - 150*t**3 + t**2
Let o(a) = 2*a. Let m(j) = 4*j**2 - 18. Calculate o(m(p)).
8*p**2 - 36
Let v(o) = o - 104. Let l(k) = -k**2. Calculate l(v(d)).
-d**2 + 208*d - 10816
Let d(s) = -5*s**2. Let m(t) = -17*t**2 + 5. Give d(m(c)).
-1445*c**4 + 850*c**2 - 125
Let c(z) = -2*z - 4. Let m be c(-4). Let q(n) = -2*n - 4*n + m*n. Let k(v) = 2*v. What is k(q(y))?
-4*y
Let p(c) = 5*c**2 + 6*c. Let n(q) = 20*q**2 + 25*q. Let m(j) = -6*n(j) + 25*p(j). Let z(s) = 6*s**2. Give z(m(f)).
150*f**4
Let j(u) = -2*u**2. Let l(s) = -2*s**2 - 5. Determine l(j(w)).
-8*w**4 - 5
Let g(v) = -2*v. Let y(f) = 7*f - 2. Calculate g(y(m)).
-14*m + 4
Let l(m) = -2*m. Let t(o) = -o - 1. Calculate l(t(d)).
2*d + 2
Let p(y) = -130*y**2. Let a(v) = -3*v. Give p(a(u)).
-1170*u**2
Let l(v) = 16*v. Let r(o) = -13*o. Determine l(r(p)).
-208*p
Let m(o) = 10*o**2 - 7*o + 7. Let s(g) = 7*g**2 - 5*g + 5. Let p(h) = 5*m(h) - 7*s(h). Let r(f) = -6*f. Determine p(r(y)).
36*y**2
Let q(n) = -18*n**2 + 5*n + 5. Let x(w) = 261*w**2 - 72*w - 72. Let t(d) = -72*q(d) - 5*x(d). Let u(c) = -4*c. Give t(u(v)).
-144*v**2
Let i(o) = -2*o. Let a(z) = 8*z**2 - 2*z - 30. Give a(i(q)).
32*q**2 + 4*q - 30
Let t(l) = -l. Let y(w) = w**2 - w - 2. Let u be y(2). Let f(m) be the third derivative of -1/30*m**5 + 0*m**3 + u*m + 0 + 2*m**2 + 0*m**4. Calculate f(t(r)).
-2*r**2
Let t(v) = v**2. Let k(w) be the third derivative of -w**6/40 - w**3/3 - 4*w**2. Let z(q) be the first derivative of k(q). Determine z(t(c)).
-9*c**4
Let a(d) = 2*d. Let x(p) = 982*p. Determine x(a(g)).
1964*g
Let q(d) = -3*d + 1. Let o(x) be the second derivative of x**4/12 + 21*x. Calculate o(q(a)).
9*a**2 - 6*a + 1
Let k(r) = 21 + 4*r - 19 - 2. Let c(f) = -f - 1. Let q(a) be the third derivative of a**4/8 + a**3/3 + a**2. Let d(i) = 6*c(i) + 3*q(i). What is k(d(s))?
12*s
Let g(y) = 15*y. Let n(x) = -34*x**2 + 2*x. Calculate g(n(d)).
-510*d**2 + 30*d
Let z(b) = 140*b**2 - 4. Let g(h) = 6*h. What is z(g(v))?
5040*v**2 - 4
Let p = -1 + 1. Let g(z) = -4*z**2 + 6*z**2 + p*z**2. Let y(o) = -o**2 + o + 1. Let h(a) = 6*a**2 - 5*a - 5. Let t(v) = h(v) + 5*y(v). Give t(g(f)).
4*f**4
Let n(j) = -4*j. Let w(k) = 366*k**2 - 355*k**2 - 3 + 3. What is n(w(b))?
-44*b**2
Let r(v) = 2*v**2 + 34. Let b(q) = -q**2. Calculate r(b(j)).
2*j**4 + 34
Let j(f) = 2*f**2. Let a(w) = -2*w - 48. What is j(a(g))?
8*g**2 + 384*g + 4608
Let d(a) = 16*a. Let w(x) = 7*x**2. Calculate w(d(u)).
1792*u**2
Let f(t) = 3*t. Let v(h) = -h**3 - 4*h**2 - 3*h - 1. Let g be v(-2). Let a = g - -5. Let w(s) = -a*s + s + 0*s. What is f(w(k))?
-3*k
Let r(t) = t**2. Let w(j) be the second derivative of 5*j**4/6 - 10*j. Let v(p) = -p**2. Let i(u) = -55*v(u) - 6*w(u). Calculate r(i(a)).
25*a**4
Let a(s) be the first derivative of s**2 + 1. Let g(f) = -15*f. Give g(a(c)).
-30*c
Let k(g) = 5*g - 4. Let x(v) = -11*v + 9. Let o(r) = 9*k(r) + 4*x(r). Let l(t) = -35*t. Determine o(l(a)).
-35*a
Let p(y) = 8*y**2. Let w(m) = -4*m. Determine p(w(v)).
128*v**2
Let m(r) = -5*r**2 + 4*r. Let u(d) = 5*d + 5 - 6*d**2 - 3 - 2. Let t(q) = -5*m(q) + 4*u(q). Let x(o) = 2*o. Give x(t(a)).
2*a**2
Let t(i) = 5*i. Let f(c) = 113*c**2 - 2. Give f(t(k)).
2825*k**2 - 2
Let m(q) = q. Let r(a) = 2*a. Let x(o) = 11*m(o) - 6*r(o). Let s(y) = 7*y. Give s(x(c)).
-7*c
Let t(f) = -7*f**2. Let y(m) = 2*m**2 + 7*m. Let l(k) = -2*k**2 - 6*k. Let d(g) = 7*l(g) + 6*y(g). Determine t(d(n)).
-28*n**4
Let b(n) be the second derivative of n**4/4 - 3*n. Let f(q) = -2*q. Give f(b(u)).
-6*u**2
Let l(x) = -x. Let f(m) = 4403*m**2. Determine l(f(i)).
-4403*i**2
Let b(q) = 5*q. Let d(a) = -8*a**2 + 10. Let x(l) be the second derivative of -l**4/12 + l**2/2 + 3*l. Let n(c) = -d(c) + 10*x(c). Calculate b(n(g)).
-10*g**2
Let n(o) be the third derivative of o**7/504 + o**4/6 + 3*o**2. Let d(t) be the second derivative of n(t). Let a(l) = l**2. Determine d(a(p)).
5*p**4
Let r(x) = 15*x**2. Let c(l) = -l**2. Let q(d) = -d**2. Let a(p) = -2*c(p) + 3*q(p). Calculate a(r(o)).
-225*o**4
Let u(t) = -t**2. Suppose 0*b = -4*b. Let z(m) = 0*m - 3*m + b*m. Determine u(z(i)).
-9*i**2
Let s(g) = -10*g. Let b(v) = -v - 74. Give s(b(u)).
10*u + 740
Let q(a) = 10*a**2. Let g(t) = -133*t**2. What is g(q(h))?
-13300*h**4
Let d(p) = 1 - 1 + 2*p - p. Let u(k | {
"pile_set_name": "DM Mathematics"
} |
25*-6
-0.15
9.1 times 0
0
Work out 1 * -159.
-159
0.029 times 2.7
0.0783
What is 3 times -6.41?
-19.23
Multiply -0.19 and 0.0621.
-0.011799
Multiply -11 and -0.12.
1.32
What is the product of 55 and -6.1?
-335.5
What is the product of 0.03 and -0.1426?
-0.004278
Work out -0.008 * -0.1.
0.0008
Multiply 0.27 and -0.621.
-0.16767
What is the product of 3 and 793.7?
2381.1
What is 0.2 times 1.98?
0.396
What is -0.3 times 186.9?
-56.07
What is the product of -33 and 49?
-1617
Product of 1.7 and -3.
-5.1
What is the product of -81 and 6?
-486
What is -0.173 times 10?
-1.73
Calculate 6.9*-5.
-34.5
Calculate 1755*4.
7020
Product of 155 and -0.4.
-62
-0.7 * -2.21
1.547
0.5*2120
1060
What is -8 times -30?
240
Work out 0.4 * 48.
19.2
Product of -23 and -0.25.
5.75
What is 0.045 times -0.6?
-0.027
-0.01095 * 0.5
-0.005475
-0.4 * 0.1
-0.04
-0.5 times 0.45
-0.225
Work out 0.0713 * 16.
1.1408
2.6*-0.288
-0.7488
Product of 0.43 and -56.
-24.08
61.5*0.4
24.6
Calculate 225*-0.1.
-22.5
-31 times 104
-3224
-0.54 times -59
31.86
Multiply 666 and -0.02.
-13.32
Multiply -0.63 and -0.3.
0.189
0.06 * 0.32
0.0192
3 times 0.0519
0.1557
What is 3.4 times 0.4?
1.36
Product of 0.14 and -8.
-1.12
What is the product of 3285 and -3?
-9855
Product of 963 and 18.
17334
9 * 0.7
6.3
Work out 0.3 * -0.018.
-0.0054
-0.2 times 1.54
-0.308
0.5 * 455
227.5
What is -8 times 1.3?
-10.4
-0.4 times 38
-15.2
Work out 233 * 0.1.
23.3
What is the product of 29 and -0.2?
-5.8
1517*0.5
758.5
What is the product of 261 and -2?
-522
Calculate 223*-1.
-223
Product of -0.0698 and -2.
0.1396
2196 * -1
-2196
Product of -0.3 and 71.
-21.3
3*-0.34
-1.02
Calculate -153*4.
-612
Multiply 0.04 and 0.15.
0.006
Calculate -0.27387*-0.5.
0.136935
Work out 0.4 * 969.
387.6
What is 0.4 times -988?
-395.2
Calculate 189*24.
4536
What is the product of 20 and 22?
440
Multiply -28 and 10.
-280
-190 times 0.1
-19
Product of 0.034 and -5.
-0.17
What is the product of -0.4 and 406?
-162.4
Multiply -1.79 and 0.5.
-0.895
Work out 43 * 0.07.
3.01
Work out -0.12 * -805.
96.6
Product of 0.05 and 25.15.
1.2575
Multiply -1.1153 and 0.5.
-0.55765
Multiply -0.07 and -468.
32.76
Calculate -154*2.
-308
Work out 0.3 * -4.
-1.2
0.0661 times -1.7
-0.11237
What is -0.1 times 21?
-2.1
Product of -0.11 and -172.
18.92
-0.15 * -1.53
0.2295
Work out -24.8 * -0.5.
12.4
What is 0.16 times -2?
-0.32
Calculate 0.5*-5319.
-2659.5
Work out -364 * -2.
728
What is the product of -0.4 and -0.173?
0.0692
0.1 times 164
16.4
Work out 0.1637 * 4.
0.6548
Calculate 143*1.
143
0.06*15
0.9
Product of 0.4 and 7.
2.8
-0.07 times -2.6
0.182
Calculate -0.5*-6.1.
3.05
-0.3 * 56
-16.8
Work out 0.4 * 2751.
1100.4
-0.04*5
-0.2
Multiply 0.5 and 16.
8
What is the product of 0.2 and 3085?
617
Work out -0.128 * -15.
1.92
Calculate -0.24*-0.13.
0.0312
What is the product of -832 and -0.1?
83.2
-4 times 3
-12
What is -2.4 times 1.8?
-4.32
-8.53*5
-42.65
Multiply -0.1 and 8.8.
-0.88
0.01 times 334
3.34
-52 times 83
-4316
Multiply -5 and 0.02641.
-0.13205
-0.03 times -0.62
0.0186
What is -0.42 times -10?
4.2
164 times -5
-820
-37 times 4.23
-156.51
243*-1
-243
Work out -1 * 2726.
-2726
-3*17
-51
What is the product of 3 and 1143?
3429
What is the product of -96 and 0.03?
-2.88
Work out -24 * 1214.
-29136
Calculate 90*-0.127.
-11.43
Work out -76 * 1.3.
-98.8
What is 1.5863 times 0.5?
0.79315
0.13 * -16.86
-2.1918
Calculate -1.83*0.5.
-0.915
What is 0.96 times 4?
3.84
Product of -0.0694 and -0.4.
0.02776
What is the product of -11 and -15.9?
174.9
2.1 * 4.1
8.61
22 * -4.3
-94.6
-0.003 * 0.17
-0.00051
Product of 0.05 and -573.
-28.65
-2*0.04489
-0.08978
-0.7 * -2.028
1.4196
Work out -2549 * -5.
12745
What is the product of -22 and 74?
-1628
-29 times -7
203
-0.9*0.008
-0.0072
What is the product of 2.595 and 0.5?
1.2975
-2227 times 8
-17816
What is the product of 0 and -0.14?
0
-1 times -30.76
30.76
8.5 * -8
-68
Calculate -39*0.5.
-19.5
-1151 times 2
-2302
Calculate 5013*-5.
-25065
What is 2.41 times 0.3?
0.723
-0.2 * -29.3
5.86
Multiply 0.1 and 0.89.
0.089
Work out 0.8627 * -0.1.
-0.08627
Product of -0.05 and -0.2.
0.01
4 * 349
1396
1198.3 times -0.3
-359.49
Work out 662 * -5.
-3310
Product of 5 and -93.
-465
What is the product of 0.2 and -25.2?
-5.04
What is 0.0496 times 4?
0.1984
Work out -0.2 * 91.1.
-18.22
Calculate 34*1.
34
Product of 0 and -0.041.
0
Calculate -3*-4.3.
12.9
Calculate -5*54.
-270
-0.07285 times -0.2
0.01457
Calculate -26*-3.3.
85.8
Calculate -6*-181.
1086
0.9 times -0.4
-0.36
What is 1 times 52?
52
What is the product of -0.0162 and 11?
-0.1782
Product of 0.4 and 1.35.
0.54
What is -3 times -0.1141?
0.3423
Work out 7 * 32.2.
225.4
-12*-1.35
16.2
0.1 times 1.351
0.1351
Multiply 0.1 and -38.
-3.8
Product of -29779 and -3.
89337
What is the product of -369 and -4?
1476
17 times -106
-1802
5*0.043
0.215
-0.4*169
-67.6
What is the product of -0.3 and 29.3?
-8.79
What is -1.3 times -2.7?
3.51
328.9*-5
-1644.5
4907 times 0.08
392.56
What is the product of 0.07 and 2240?
156.8
Calculate -4.458*1.
-4.458
What is -13 times 36?
-468
Product of 64 and 8.5.
544
Work out 1.1 * 0.32.
0.352
Calculate -39*-0.027.
1.053
Multiply -0.2 and 19.
-3.8
Work out -17.65 * 0.
0
Calculate -485*-1.1.
533.5
Work out 5 * 20.
100
Work out -2 * -0.0075.
0.015
What is -8.22 times 1.6?
-13.152
Product of 0.2 and -65.3.
-13.06
Work out -2 * 593.
-1186
0.14 times 2086
292.04
-43.9 times 4
-175.6
What is -0.2309 times 1?
-0.2309
18.37*0.4
7.348
What is 0.3 times -43?
-12.9
44*142
6248
0.6 times 0.059
0.0354
14.87 times 3
44.61
-55 times -0.1
5.5
-0.2*-0.149
0.0298
What is -0.2 times -10?
2
Product of -0.111 and -0.008.
0.000888
Calculate 1.481*5.
7.405
-0.2 * 28
-5.6
0.01*-1211
-12.11
Calculate 0.37*-34.
-12.58
What is -1757 times -1?
1757
Calculate -36*9.
-324
Work out -0.4 * -178.
71.2
What is the product of -59 and 0?
0
What is -0.0185 times -0.3?
0.00555
Product of 0.1 and -95.
-9.5
-5 times 37.7
-188.5
-0.162 * 0.1
-0.0162
-15 times -1.8
27
Work out 0.3 * 1071.
321.3
Calculate -2*1.031.
-2.062
Multiply 0.27 and -0.12.
-0.0324
-0.26*-0.5
0.13
Product of 0.002 and -16.3.
-0.0326
Work out 6 * -0.237.
-1.422
-0.12 * 79
-9.48
What is -0.1 times -7.935?
0.7935
-2 times 7.4
-14.8
Product of -9 and 447.
-4023
Work out -0.09 * -7.83.
0.7047
2.3 * 95
218.5
5.22*5
26.1
What is the product of 0.093 and -0.4?
-0.0372
Work out 172 * 0.
0
-0.082 * -21
1.722
-0.3 * -1626
487.8
345 * -0.1
-34.5
Product of 29 and 0.163.
4.727
What is the product of -257 and -0.2?
51.4
Product of 4 and 1514.
6056
14.8 * -1.47
-21.756
-42 * -3
126
-56 times 2
-112
What is the product of 0.18 and -0.2?
-0.036
What is the product of 0.2 and -248?
-49.6
What is the product of -33 and -7?
231
Work out 0.3 * 0.092.
0.0276
What is 0.3 times -0.728?
-0.2184
What is 13 times 0.1?
1.3
Product of 0.1262 and 0.4.
0.05048
What is -0.2 times 28.3?
-5.66
Multiply 0.7156 and 1.
0.7156
What is the product of -7 and -1598?
11186
Multiply -0.1 and 0.0696.
-0.00696
-1 * -19.8
19.8
-0.017 * -2
0.034
Product of -0.2 and 90.
-18
Multiply 0.7 and -259.
-181.3
What is -109 times 1.1?
-119.9
Work out 0.4 * 0.6.
0.24
Multiply 14 and 0.
0
What is 0.038 times 5?
0.19
What is the product of -0.8 and 5?
-4
Multiply 13.6 and -0.18.
-2.448
-2.6 times 0.9
-2.34
What is -1460 times -4?
5840
Work out -0.37 * -5.
1.85
Multiply 2 and 59.
118
What is the product of 0.5 and -3816?
-1908
What is the product of 0.045305 and -5?
-0.226525
Multiply -10983 and -0.5.
5491.5
Calculate 9.501*-3.
-28.503
4 * -1.5
-6
What is the product of -11 and -19?
209
What is the product of 0.3 and 2809?
842.7
-0.5 times -0.25
0.125
0.4*-29.3
-11.72
-9.6 times -1
9.6
Calculate -3*0.4.
-1.2
Work out 0.2 * 0.261.
0.0522
What is 0.2 times -0.0041?
-0.00082
-4524 * 0.2
-904.8
Multiply 0.1 and 1.74.
0.174
Calculate -4.65*0.4.
-1.86
What is the product of 1 and -103?
-103
-0.02 times 0.2
-0.004
Calculate -8.3*-5.
41.5
Calculate 113*2.
226
0 * -1.988
0
-0.453 * 6
-2.718
0.11*-2.6
-0.286
Calculate 0.1*0.28.
0.028
-85*-6
510
Calculate -7*-3.
21
What is the product of 0.2 and -649?
-129.8
What is the product of -4.085 and 0.6?
-2.451
Multiply -2 and -0.074.
0.148
Work out -0.137 * -0.03.
0.00411
Work out -2 * -1543.
3086
Work out -0.11 * -0.43.
0.0473
Work out -0.005 * 0.5.
-0.0025 | {
"pile_set_name": "DM Mathematics"
} |
) in base 4?
-10231031
Convert -16627 (base 8) to base 14.
-2a91
What is -91 (base 16) in base 11?
-122
-63e2 (base 15) to base 12
-10295
What is -14613 (base 7) in base 4?
-333231
What is -19d (base 14) in base 13?
-1ca
Convert 1125 (base 6) to base 9.
328
Convert -1120113 (base 4) to base 6.
-42103
-1305 (base 6) to base 12
-235
-1ae (base 16) to base 8
-656
-b55 (base 14) to base 3
-10001122
Convert -10000020122 (base 3) to base 12.
-2a338
Convert 703 (base 11) to base 15.
3ba
112212 (base 3) to base 14
209
What is a560 (base 15) in base 13?
12bb8
What is -4f5 (base 16) in base 14?
-669
1028 (base 12) to base 2
11011100000
What is 82 (base 10) in base 15?
57
Convert -26c3 (base 15) to base 12.
-4963
11020211 (base 3) to base 9
4224
11010001001 (base 2) to base 16
689
-217 (base 15) to base 11
-39a
Convert 3acc (base 16) to base 3.
202122111
Convert -2466 (base 7) to base 14.
-4a6
What is -1012 (base 4) in base 14?
-50
Convert 112134 (base 6) to base 15.
2c77
Convert 2596 (base 13) to base 15.
18c7
What is -79b8 (base 12) in base 9?
-20505
1312331 (base 5) to base 13
ba85
Convert -21011111 (base 3) to base 4.
-1101220
What is -694 (base 11) in base 14?
-433
13041 (base 8) to base 14
20c9
What is 10100100101110 (base 2) in base 8?
24456
Convert 203320 (base 4) to base 2.
100011111000
Convert 883 (base 9) to base 8.
1323
What is 88bb (base 16) in base 10?
35003
295 (base 10) to base 2
100100111
Convert -104426 (base 7) to base 8.
-43733
103 (base 16) to base 10
259
Convert 7401 (base 14) to base 2.
100111000011001
234 (base 11) to base 14
15d
45620 (base 7) to base 11
8810
What is -103 (base 5) in base 9?
-31
Convert 202020 (base 5) to base 10.
6510
What is 50b (base 15) in base 3?
1120002
-4323 (base 5) to base 9
-723
What is 15210 (base 7) in base 12?
2539
Convert -2150 (base 6) to base 7.
-1311
What is -9159 (base 13) in base 3?
-1000110100
What is -10d70 (base 15) in base 7?
-312300
-aef (base 16) to base 5
-42144
What is 4302 (base 6) in base 13?
59c
What is 152442 (base 7) in base 11?
20372
Convert 6d5 (base 16) to base 12.
1019
What is -4a0 (base 12) in base 13?
-417
What is 5478 (base 16) in base 15?
6619
-182 (base 12) to base 4
-3302
-10d (base 14) to base 4
-3101
-6c1 (base 16) to base 7
-5020
What is 7f1f (base 16) in base 9?
48568
What is 6508 (base 12) in base 7?
44231
-10101111001 (base 2) to base 10
-1401
-4bb0 (base 12) to base 4
-2012310
Convert 6902 (base 15) to base 12.
10a85
13111 (base 5) to base 12
71b
-45887 (base 10) to base 4
-23030333
What is e9b (base 15) in base 14?
12b6
What is 1105 (base 6) in base 9?
315
What is -20663 (base 7) in base 4?
-1100111
Convert 161d3 (base 15) to base 16.
11682
What is -221022 (base 5) in base 15?
-23e2
a51 (base 14) to base 5
31111
Convert 38c (base 13) to base 6.
2515
7e (base 16) to base 4
1332
What is 2f2c (base 16) in base 7?
50131
a285 (base 15) to base 11
23875
Convert -223334 (base 5) to base 14.
-2c93
What is -222332 (base 4) in base 16?
-abe
What is -22121002 (base 3) in base 14?
-23d8
7330 (base 11) to base 12
5755
7 (base 10) to base 9
7
What is a95 (base 15) in base 12?
1472
What is -6938 (base 11) in base 10?
-9116
Convert 8212 (base 10) to base 11.
6196
What is -121123 (base 4) in base 6?
-11311
-197a (base 14) to base 7
-16313
Convert 204 (base 6) to base 16.
4c
What is -13846 (base 10) in base 13?
-63c1
What is ab (base 13) in base 15?
96
31422 (base 6) to base 12
2572
What is 49b (base 15) in base 9?
1382
-596b (base 12) to base 4
-2130203
c47 (base 15) to base 13
134b
What is 110212020 (base 3) in base 9?
13766
Convert 1054 (base 8) to base 7.
1423
Convert -301224 (base 5) to base 2.
-10010101011100
-3243 (base 12) to base 7
-22050
Convert 254021 (base 7) to base 9.
71428
What is 1226 (base 7) in base 3?
122002
1247 (base 13) to base 3
10120002
-549 (base 10) to base 3
-202100
What is aab (base 14) in base 2?
100000111111
What is -523 (base 10) in base 3?
-201101
1101101100 (base 2) to base 13
525
Convert -1001300 (base 4) to base 10.
-4208
1441 (base 11) to base 7
5265
-2123 (base 7) to base 5
-11002
-14216 (base 7) to base 15
-123e
Convert -71dd (base 15) to base 10.
-24058
a82 (base 13) to base 2
11100000100
Convert -3811 (base 10) to base 12.
-2257
Convert 165a (base 11) to base 10.
2122
What is -246233 (base 7) in base 2?
-1011000101010110
-4049 (base 10) to base 2
-111111010001
What is 10101000001010 (base 2) in base 11?
80a4
-40423 (base 5) to base 8
-5065
Convert -2443 (base 14) to base 13.
-2b60
21100 (base 4) to base 8
1120
-824 (base 15) to base 6
-12254
What is 779 (base 15) in base 4?
122121
2717 (base 9) to base 16
7f9
What is -110022002 (base 3) in base 12?
-5232
144 (base 11) to base 6
441
564 (base 13) to base 5
12202
What is 4230 (base 13) in base 8?
21715
6a (base 14) to base 2
1011110
What is -61 (base 14) in base 3?
-10011
What is -692 (base 13) in base 8?
-2155
What is -455 (base 15) in base 10?
-980
230 (base 8) to base 14
ac
Convert -326012 (base 7) to base 8.
-157712
What is -12226 (base 7) in base 6?
-22501
What is 23902 (base 10) in base 7?
126454
Convert 193 (base 11) to base 2.
11011111
100011010000 (base 2) to base 13
1047
What is -d5a (base 15) in base 4?
-233002
Convert 11525 (base 8) to base 14.
1b37
What is 86216 (base 9) in base 6?
1120023
What is -7a1 (base 12) in base 3?
-1112211
What is -10 (base 4) in base 10?
-4
1c5 (base 15) to base 14
214
Convert -23344 (base 5) to base 3.
-2100212
Convert -122516 (base 7) to base 14.
-830d
-8181 (base 16) to base 15
-9c53
Convert -2382 (base 10) to base 2.
-100101001110
Convert 2304 (base 9) to base 11.
1310
What is 50426 (base 8) in base 10?
20758
What is 4442 (base 11) in base 15?
1b04
Convert -414440 (base 5) to base 3.
-200212002
What is -201100 (base 3) in base 6?
-2230
Convert -35601 (base 10) to base 15.
-a836
What is -43b (base 13) in base 9?
-886
6372 (base 8) to base 6
23214
Convert -289 (base 10) to base 8.
-441
Convert -37b (base 13) to base 16.
-261
437 (base 12) to base 11
513
What is 4436 (base 14) in base 2?
10111000100000
What is -102111202 (base 3) in base 7?
-33314
Convert -480b (base 14) to base 15.
-3ac0
What is 1002110 (base 3) in base 11?
663
Convert 22f (base 16) to base 11.
469
Convert 6513 (base 12) to base 8.
25537
Convert -182 (base 10) to base 11.
-156
-789 (base 10) to base 4
-30111
What is -8814 (base 10) in base 11?
-6693
Convert -66c3 (base 15) to base 4.
-11110113
What is -970 (base 15) in base 6?
-13510
What is 10573 (base 9) in base 8?
15570
273a5 (base 11) to base 2
1001100010100101
562 (base 7) to base 5
2124
Convert 121110 (base 3) to base 2.
110111100
What is -173 (base 10) in base 7?
-335
What is 2580 (base 10) in base 9?
3476
17431 (base 10) to base 8
42027
-1001221 (base 4) to base 12
-2521
What is -1c53 (base 13) in base 12?
-2599
-88668 (base 9) to base 10
-58868
-21363 (base 7) to base 3
-21022200
What is 24402 (base 8) in base 7?
42415
What is -4041 (base 7) in base 3?
-1220220
What is 15aa8 (base 11) in base 10?
22624
What is 5285 (base 9) in base 14?
15b6
Convert 13100 (base 4) to base 15.
20e
19588 (base 10) to base 12
b404
Convert -101022 (base 3) to base 11.
-233
Convert -330 (base 13) to base 9.
-666
-36130 (base 9) to base 16
-5e65
What is 22777 (base 12) in base 14?
12ab9
-23268 (base 9) to base 4
-3302231
Convert a7c (base 13) to base 7.
5141
2127 (base 8) to base 7
3145
Convert 825a (base 12) to base 2.
11011101100110
Convert -61504 (base 8) to base 7.
-134042
What is 1621 (base 9) in base 4?
103102
What is -32d6 (base 16) in base 3?
-122212000
What is 14f9 (base 16) in base 14?
1d57
529 (base 16) to base 13
7a8
3455 (base 6) to base 7
2261
Convert -121021 (base 3) to base 4.
-12313
What is -1253 (base 6) in base 10?
-321
-111011011110 (base 2) to base 7
-14045
21211 (base 4) to base 11
508
What is 241 (base 13) in base 8?
607
What is -586 (base 10) in base 9?
-721
-3db (base 15) to base 2
-1101110001
Convert -1b41 (base 12) to base 11.
-2586
c023 (base 13) to base 15
7c48
What is -111220 (base 3) in base 8?
-567
Convert 20 (base 12) to base 7.
33
What is 1517 (base 11) in base 15?
8a4
Convert -ab (base 13) to base 2.
-10001101
Convert -574 (base 9) to base 12.
-334
Convert 2c28 (base 16) to base 8.
26050
What is -1521 (base 10) | {
"pile_set_name": "DM Mathematics"
} |
wrt t.
60*q**3*t**3 - 120*q**3*t
What is the second derivative of 390*g**2 + 485*g wrt g?
780
What is the second derivative of -17*p**3 + 313*p**2 + 453*p + 1?
-102*p + 626
What is the second derivative of -2*r**5 - 3618*r**4 + 5604*r wrt r?
-40*r**3 - 43416*r**2
Find the second derivative of -213*c**4 + 171*c wrt c.
-2556*c**2
Find the third derivative of 7*a**3*o**3*u - 6*a**3*o*u**3 + a**3*u**2 - 2*a**2*o**3*u**2 + 84*a**2*o*u - 1892*a*o**3*u**3 + a*o**3*u**2 wrt u.
-36*a**3*o - 11352*a*o**3
What is the second derivative of -8713*b**3*h**3 + b**3*h*m**3 - b**2*h**2*m**3 + 2*b**2*m - 2*h*m**3 + 9*h*m - 13*h wrt h?
-52278*b**3*h - 2*b**2*m**3
What is the third derivative of 2*b**4*k - 5*b**3 - b**2*k - 154*k wrt b?
48*b*k - 30
What is the third derivative of 42*h**3*m + 15*h**3 - 7*h**2 - 70*h*m wrt h?
252*m + 90
What is the second derivative of 1311*g**2 - 202*g - 2 wrt g?
2622
Find the third derivative of -54*f**5 + 3*f**3 + 17098*f**2.
-3240*f**2 + 18
Differentiate -771*t + 571 wrt t.
-771
Find the third derivative of 2*m**2*p**4 - 13*m**2 + 3*m + 37*p**5 + 2*p**2 wrt p.
48*m**2*p + 2220*p**2
What is the third derivative of -24358*x**4 - 1478*x**2 - 2*x + 2 wrt x?
-584592*x
What is the third derivative of -3168*d**2*u**5 + 2*d**2*u**4 + 17*d**2*u - 19*d*u + 3*u**2 wrt u?
-190080*d**2*u**2 + 48*d**2*u
Find the third derivative of -220*n**3*q**2 + 4*n**2*q**2 - 9*n**2 - q**2 wrt n.
-1320*q**2
What is the second derivative of -49*s**2 - 5*s wrt s?
-98
Differentiate -15*r**3 + 8*r**2 + 5*r + 7778 wrt r.
-45*r**2 + 16*r + 5
Find the first derivative of 894*z**3 + 425 wrt z.
2682*z**2
Find the third derivative of 21*g**2*l**5 + 84*g**2*l**3 - 30*g**2*l**2 + 38*g**2*l wrt l.
1260*g**2*l**2 + 504*g**2
What is the third derivative of -1857*a**3*z**2 - 2*a**2*z**2 + 20*a**2 + 3*z wrt a?
-11142*z**2
Find the second derivative of 12212*h**3 - 16321*h wrt h.
73272*h
What is the third derivative of 2*a**6 + 172*a**5 - 188*a**2 - 3*a?
240*a**3 + 10320*a**2
Find the third derivative of -2539*t**5 + 17*t**2 - 18*t.
-152340*t**2
What is the third derivative of -79*c**6 + 3*c**4*l - c**2*l + c**2 - 71*c*l wrt c?
-9480*c**3 + 72*c*l
What is the first derivative of 2*d*h*m**2*z + 7*d*h - 5*d*m**2 - d + 2*h*m**2*z - 5*h*m*z - 3*m**2 wrt d?
2*h*m**2*z + 7*h - 5*m**2 - 1
Differentiate 234*b*n + 2*b - 34*n - 1 with respect to b.
234*n + 2
Find the third derivative of -j**6 + 33*j**5 + 140*j**2 wrt j.
-120*j**3 + 1980*j**2
Find the third derivative of -8983*l**3 + 15311*l**2 wrt l.
-53898
What is the second derivative of p**4 + p**3 + 127*p**2 + 523*p?
12*p**2 + 6*p + 254
Differentiate 103*b**2*i**3 - 2*i**3 + 19 with respect to b.
206*b*i**3
Differentiate -2*k**2*t + 6086*k**2 - 150*k*t**2 - 2*t**2 wrt t.
-2*k**2 - 300*k*t - 4*t
What is the second derivative of 283*a**2*y**3 + a*y - 9*a - 3*y**3 wrt a?
566*y**3
Find the first derivative of -2*m*q**2*z - 872*m*q**2 + 24*q**2*z + z wrt z.
-2*m*q**2 + 24*q**2 + 1
Find the first derivative of -f**3*r*u - 6*f**3*u*z + 2*f**3 + 4*f*r*z - 73*f*r - 5*f*u*z - r*u wrt z.
-6*f**3*u + 4*f*r - 5*f*u
Find the first derivative of -2*c**2*x - 8*c**2 - 4*c*x + 355*x wrt c.
-4*c*x - 16*c - 4*x
Find the first derivative of -98*n**2 + 2*n - 1287 wrt n.
-196*n + 2
What is the second derivative of -13*p**5*t + 67*p**3 - p**2*t - 6*p - 52*t wrt p?
-260*p**3*t + 402*p - 2*t
Find the first derivative of -5*h**3*x - h*x**3 - 560*x**3 wrt h.
-15*h**2*x - x**3
What is the second derivative of 6376*p**5 + 18*p + 11?
127520*p**3
What is the derivative of -282*y - 858 wrt y?
-282
What is the second derivative of 136*b**2 + 155*b?
272
What is the first derivative of -409*w**4 + 40?
-1636*w**3
Find the third derivative of 2*a**2*t**3 + 7*a**2*t + 37*a*t**4 - 5*t**2 - 3 wrt t.
12*a**2 + 888*a*t
What is the third derivative of -i**5 - 22*i**3 + 6*i**2 - 7*i?
-60*i**2 - 132
What is the first derivative of 18*o**3 + 3*o + 187?
54*o**2 + 3
What is the derivative of 2*h**2*o**3 - h*o**3 + h*o**2*z + 286*o**3*z wrt h?
4*h*o**3 - o**3 + o**2*z
What is the derivative of 47*i**2*m**3 - 118*i**2 - 3*m**3 + 2 wrt m?
141*i**2*m**2 - 9*m**2
Differentiate -1124*j**4*n**2 + 4*j*n**3 + 532*n**3 + 2*n**2 - 2 with respect to j.
-4496*j**3*n**2 + 4*n**3
What is the derivative of -16*o*w**2 + 150*o*w + 3*o - 2*w**2 + 2378 wrt w?
-32*o*w + 150*o - 4*w
Differentiate -55*a**2*h - 2*a**2*t + 2*a*h - h*t + 197*t with respect to a.
-110*a*h - 4*a*t + 2*h
Differentiate -5416*a**4 - 5398.
-21664*a**3
Find the second derivative of -1539*s**3 - 55*s + 14 wrt s.
-9234*s
What is the third derivative of 59*o**6 + 6*o**4 + 2*o**2 + 12*o wrt o?
7080*o**3 + 144*o
What is the second derivative of 6*g**3*y**2 - 5*g**3*y + 2*y**4 - 32*y**2 + 90*y wrt y?
12*g**3 + 24*y**2 - 64
What is the second derivative of 1089*c**2 - c - 3 wrt c?
2178
Find the third derivative of 4*p**5 + 261*p**3 - 4*p**2 - 61*p.
240*p**2 + 1566
Find the second derivative of -1383*j**2 + 21*j - 28 wrt j.
-2766
Find the second derivative of 2*j**5*o + 2007*j**3*o**3 - 2*j*o**3 - 958*j*o**2 wrt j.
40*j**3*o + 12042*j*o**3
What is the third derivative of 3503*v**3 - 35*v**2 - 18?
21018
What is the second derivative of 13*f*o**4 - 77*f - 14*o**5 - 4*o wrt o?
156*f*o**2 - 280*o**3
What is the first derivative of -d**2*i**4 + 50*d**2 - 2*d + 2135*i**2 + 2 wrt i?
-4*d**2*i**3 + 4270*i
What is the third derivative of -4*n*p**3*r**3 - n*p**2*r - n*p*r**3 - 2*n*p*r**2 + 198*p**6*r**3 - 1 wrt p?
-24*n*r**3 + 23760*p**3*r**3
Find the third derivative of 5*d*h**3 + 4*d*h**2 - 2*d - 13*h**2 wrt h.
30*d
What is the third derivative of -2*a**3*g**2*z + 206*a**3*g*z + 7*a**2*g**2 + 4*a**2*g + 4*g**2*z + 2 wrt a?
-12*g**2*z + 1236*g*z
Differentiate 1634*y - 338 wrt y.
1634
What is the derivative of -40*b*s**3 - 84*b - 2 wrt s?
-120*b*s**2
What is the third derivative of -27*p**5 + 2*p**4 + 660*p**2?
-1620*p**2 + 48*p
Differentiate -440*b**2*o*w - 3*b**2*o + 5*b**2 + b*o*w - 36*b*o - o*w - 2*w wrt w.
-440*b**2*o + b*o - o - 2
Find the second derivative of -3*s**3 - 11*s**2*w**3 + s*w**3 - w**3 + 6 wrt s.
-18*s - 22*w**3
Find the third derivative of 5*a**6*f**2 + 29*a**3*f - 52*a**2*f - a**2 + a*f**2 wrt a.
600*a**3*f**2 + 174*f
Find the first derivative of -29*f**3*s + 16*f**3 + 42*f**2 + 5*f*s - s wrt s.
-29*f**3 + 5*f - 1
Find the third derivative of -5*h*k**4 + h*k**3 + 15*h*k**2 - 117*h*k + 42*k**4 - 2*k**3 wrt k.
-120*h*k + 6*h + 1008*k - 12
Differentiate -2*l**4 - 294*l**3 - 1843.
-8*l**3 - 882*l**2
What is the first derivative of -3*i**3 - 472*i**2 + 984?
-9*i**2 - 944*i
Find the second derivative of -g**5*n**3 + g**2*n**2 - 1834*g**2 - 2*g*n - 1572*n**3 wrt g.
-20*g**3*n**3 + 2*n**2 - 3668
Find the third derivative of -n*o**5 + 4*n*o**3 - 2*n*o**2 + 7*n*o + 2*o**5 - 3*o - 43 wrt o.
-60*n*o**2 + 24*n + 120*o**2
Differentiate 1460*g + 5501 wrt g.
1460
What is the third derivative of -u**5 + 454*u**3 - 15*u**2 - 10*u + 3 wrt u?
-60*u**2 + 2724
Find the third derivative of 14*h**6*t - 3*h**3*t**3 - h**2*t**3 + 9*h*t**3 - 57*t**3 wrt h.
1680*h**3*t - 18*t**3
What is the first derivative of -46*q - 271?
-46
What is the third derivative of -50*w**4 + 75*w**3 - 1044*w**2 + w?
-1200*w + 450
What is the second derivative of -780*k**2 - 3*k + 38 wrt k?
-1560
What is the first derivative of 12*z**4 + 2*z - 75 wrt z?
48*z**3 + 2
What is the derivative of -9*c*j**4 + 2*c*j**2 + 198*c - 10*j**4 wrt j?
-36*c*j**3 + 4*c*j - 40*j**3
Differentiate 86*w**3 + 184 wrt w.
258*w**2
What is the derivative of 38*k**2 - 15*k + 2600?
76*k - 15
What is the third derivative of 5*c**4 + 166*c**3 + 7*c**2 + 467*c?
120*c + 996
Find the second derivative of -2*a**4 - 134*a**2*r + 12*a*r + 5*r wrt a.
-24*a**2 - 268*r
Differentiate 294*c**2*p - 27337*c**2 - 10*c*p**2 with respect to p.
294*c**2 - 20*c*p
What is the second derivative of -m**3*q**5 - 989*m**3*q**3 - m**3*q - 335*m**3 wrt q?
-20*m**3*q**3 - 5934*m**3*q
Find the first derivative of 3*l**2 - 6*l - 108 wrt l.
6*l - 6
What is the derivative of -14*q*y**2 - 4*y**2 - 28 wrt q?
-14*y**2
Find the third derivative of -82*a**3*t**3*x - 4*a**3*t**2 + 4*a**3*x + 4*t**3*x + 52*t**2*x wrt t.
-492*a**3*x + 24*x
Find the second derivative of 379*j**2*r*x - 26*j*r*x + 2*j*r - 2*j*x wrt j.
758*r*x
What is the | {
"pile_set_name": "DM Mathematics"
} |
terms in -5*g + 11*g - 2*g + 15*g.
19*g
Collect the terms in -937*s**3 - 13*s**2 + 13*s**2.
-937*s**3
Collect the terms in 46*j + 31*j - 81*j.
-4*j
Collect the terms in 13742 - s - 13742.
-s
Collect the terms in g**3 - 236 - 9*g**3 + 236.
-8*g**3
Collect the terms in 9*b**2 - 5*b**2 + 29*b**2.
33*b**2
Collect the terms in 5*u**2 - 11*u**2 + 9*u**2.
3*u**2
Collect the terms in 1599*d - 798*d - 801*d - 4*d**2.
-4*d**2
Collect the terms in 133*s**2 + 277*s**2 - 94*s**2.
316*s**2
Collect the terms in -3*x**2 + 4*x**2 + x**2 + 6*x.
2*x**2 + 6*x
Collect the terms in 162 + 2*z - 162.
2*z
Collect the terms in 28 - 8*f**3 - 28 + 4*f**3.
-4*f**3
Collect the terms in 7*h - h - 4*h.
2*h
Collect the terms in 1227 + v**2 - 1227 + v**2.
2*v**2
Collect the terms in -1385782 + 1385782 - 2*o**2.
-2*o**2
Collect the terms in 4*m - 8*m - 5*m - 2*m.
-11*m
Collect the terms in 4*q - 39 + 39.
4*q
Collect the terms in 24*y - 40*y + 25*y.
9*y
Collect the terms in -25*k**2 - 25*k**2 + 2*k**3 + 40*k**2 - 4*k**3.
-2*k**3 - 10*k**2
Collect the terms in -106*q**2 - 1 + 2 - 1.
-106*q**2
Collect the terms in -14*v**2 + 9*v**2 - 22*v**2.
-27*v**2
Collect the terms in -f + 6*f - 5*f + 16*f**3.
16*f**3
Collect the terms in 48*d**2 + 53*d**2 - 77*d**2.
24*d**2
Collect the terms in -2*r**2 + 9*r**2 + 4*r**2.
11*r**2
Collect the terms in -9970*m + 4985*m + 4986*m.
m
Collect the terms in -320*h + 711*h + 961*h + 246*h.
1598*h
Collect the terms in -6*d - 18*d - 34*d.
-58*d
Collect the terms in -351 + 4*o - 351 + 702.
4*o
Collect the terms in 19736*l**2 - 39496*l**2 + 19759*l**2.
-l**2
Collect the terms in -10*g + 18*g**3 + 10*g**3 + 10*g.
28*g**3
Collect the terms in -4*f + 69*f**2 + 4*f - 71*f**2.
-2*f**2
Collect the terms in -108*x**3 - 107*x**3 + 213*x**3.
-2*x**3
Collect the terms in -5*y**3 + 48*y**2 - 48*y**2.
-5*y**3
Collect the terms in 66*g**2 - 31*g**2 - 26*g**2.
9*g**2
Collect the terms in 4 + 8*x - 5 + 3.
8*x + 2
Collect the terms in 11 - 25 - 3*d + 14.
-3*d
Collect the terms in -9 + 9 - 33*r**2 + 8*r**2.
-25*r**2
Collect the terms in 13*n - 25 + 25 + 11*n.
24*n
Collect the terms in 1192*f**2 - 3579*f**2 + 1206*f**2 + 1197*f**2.
16*f**2
Collect the terms in -7*k**3 + 34*k**2 + 69*k**2 - 103*k**2.
-7*k**3
Collect the terms in -56*d**3 + 64*d**3 + 0*d**2 + 0*d**2.
8*d**3
Collect the terms in 0*c**2 - 4*c**2 - 2*c**2 - 2*c**2.
-8*c**2
Collect the terms in 21 - 6 - 4 - 2*v**3.
-2*v**3 + 11
Collect the terms in -2*r + 8*r - 24*r - 29*r.
-47*r
Collect the terms in -i - 21*i + i - 29*i.
-50*i
Collect the terms in 18030*l - 36059*l + 18029*l - 2*l**3.
-2*l**3
Collect the terms in -n - 772*n**2 - n + 199*n**2.
-573*n**2 - 2*n
Collect the terms in 434*c - 903*c + 427*c.
-42*c
Collect the terms in -j**2 - 3 + 4*j**2 + 3.
3*j**2
Collect the terms in -4702 + 4702 + 4*y.
4*y
Collect the terms in -3*s**3 + 2*s**3 + 2*s**3 + 5*s**3 - 5*s**3.
s**3
Collect the terms in 3 + 171*q**3 + 32*q**3 - 3.
203*q**3
Collect the terms in 14*h**2 - 13*h**2 + h - h.
h**2
Collect the terms in -19*u**3 + 10*u - 5*u - 5*u.
-19*u**3
Collect the terms in 2*v**2 - 2*v**2 - 253*v**3.
-253*v**3
Collect the terms in 38618*s - 38618*s + 3*s**2.
3*s**2
Collect the terms in 5 - 5 + 10*g - 4*g.
6*g
Collect the terms in -6*k**3 - 10*k**3 - 23*k**3.
-39*k**3
Collect the terms in -23*g - 4*g + 18*g.
-9*g
Collect the terms in -39*j**2 - 16*j**2 - 13*j**2 + 2*j**2.
-66*j**2
Collect the terms in 11*f - 29*f + 17*f.
-f
Collect the terms in 38 - 92 + 54 - 10*s.
-10*s
Collect the terms in 7*u + 213 - 213 + 12*u**2 + 4*u.
12*u**2 + 11*u
Collect the terms in 7 - 2*i + 23 + 15.
-2*i + 45
Collect the terms in 0*t + 7*t + 3*t + t.
11*t
Collect the terms in -2*s - 16*s - 9*s + 0*s.
-27*s
Collect the terms in 20*v + 6*v - 5*v.
21*v
Collect the terms in 9 - 285*i**3 - 8 - 1.
-285*i**3
Collect the terms in -15*g + 8*g - 6*g.
-13*g
Collect the terms in 2*c**2 - c**2 - 79 + 79.
c**2
Collect the terms in 297*w**3 + 3*w**2 - 9*w**2 - 2 + 6*w**2.
297*w**3 - 2
Collect the terms in -14*x + 14*x - 3 + 4*x**2 + 21.
4*x**2 + 18
Collect the terms in -5*p**3 - 12*p**3 - 11*p**3 + 47*p**3 - 13*p**3.
6*p**3
Collect the terms in -10*r + 3 - 3 + 5*r.
-5*r
Collect the terms in 190*n + 2 - 2 - 196*n.
-6*n
Collect the terms in 68*m**3 + 68*m**3 + 67*m**3 - 200*m**3.
3*m**3
Collect the terms in -11*t - 49*t + t.
-59*t
Collect the terms in -26 + 14 + 12 + 8*s - 10*s.
-2*s
Collect the terms in 2287 - 2287 + 5*o - 2*o.
3*o
Collect the terms in -123*b + 61*b - 2 + 61*b.
-b - 2
Collect the terms in 41*g**2 - 21*g**2 - 7*g**2.
13*g**2
Collect the terms in 0*y**2 + 4*y**2 - y**2.
3*y**2
Collect the terms in 0*a - 5*a + 0*a - 5*a.
-10*a
Collect the terms in 29*f - 4*f - 7*f - 6*f.
12*f
Collect the terms in -14*w**2 - 28*w**3 + 4*w**2 + 10*w**2.
-28*w**3
Collect the terms in -1 - 3 - 2*x - 1 - 2*x.
-4*x - 5
Collect the terms in 10*q**2 - 8*q**2 + 3*q**2 - 5*q**2 - 43*q**3.
-43*q**3
Collect the terms in -82*g - 61*g + 30*g.
-113*g
Collect the terms in 1 - 5 - 1652*j + 4.
-1652*j
Collect the terms in 2*l**3 + 8*l**3 - 2*l**3 + 0*l**3.
8*l**3
Collect the terms in 4 - 1 - 15*u - 2.
-15*u + 1
Collect the terms in 37*z - 13*z - 27*z.
-3*z
Collect the terms in -1460835 - 2*n + 1460835.
-2*n
Collect the terms in 1 - 86*w - 64*w**2 - 62*w**2 + 86*w.
-126*w**2 + 1
Collect the terms in -282*i - 285*i + 582*i.
15*i
Collect the terms in -2*v - 4*v - 3*v.
-9*v
Collect the terms in 302*n**2 + n - 3*n + 2*n.
302*n**2
Collect the terms in -7 - 27*p**2 - 16*p**2 + 7.
-43*p**2
Collect the terms in 19*z - 13*z + 2 - 2.
6*z
Collect the terms in 3*u**2 - 14*u**2 + 0*u**2 + 6*u**2.
-5*u**2
Collect the terms in 2*g - 2*g - 1157*g**2.
-1157*g**2
Collect the terms in 1 - 17*i + 1 + 31*i - 1.
14*i + 1
Collect the terms in -28*n**2 + 1 + 2 - 3.
-28*n**2
Collect the terms in 550 - 2*s - 550.
-2*s
Collect the terms in -1 + 1 - 31*m**2 + 35*m**2.
4*m**2
Collect the terms in 2*n**2 + 65*n**3 - 2*n**2 - 55*n**3.
10*n**3
Collect the terms in -29*t**2 + 1 + 31*t**2 - 54*t**2 - 16*t**2.
-68*t**2 + 1
Collect the terms in -10 + 8 + 2 - o**3.
-o**3
Collect the terms in 2 + 4*f - f - 3*f + 5*f**3.
5*f**3 + 2
Collect the terms in -30*n - 12*n - 3 + 5.
-42*n + 2
Collect the terms in 6 - 6 + 53*o.
53*o
Collect the terms in -6*u**3 + 22*u - 22*u + 9*u**3.
3*u**3
Collect the terms in 8 - 19 + 7 + u + 4.
u
Collect the terms in 9*c - 3*c - 2*c**2 + 7*c**2 - 6*c.
5*c**2
Collect the terms in -9*v**2 + 7051 - 7051.
-9*v**2
Collect the terms in 0 - 2*x**2 - 1 + 28*x**2.
26*x**2 - 1
Collect the terms in -3 - 1861*w + 3 + 917*w + 929*w.
-15*w
Collect the terms in -4298294*b + 4298294*b + 4*b**2.
4*b**2
Collect the terms in -2 + 3*q**2 + 3*q**2 + 2*q**2 - 2*q**2.
6*q**2 - 2
Collect the terms in -11*v - 21*v + 29*v.
-3*v
Collect the terms in h - 27*h**2 - 1 + 5 - 4.
-27*h**2 + h
Collect the terms in -4 - 2 + 19867*c + 6 - 19868*c.
-c
Collect the terms in 4*t - 93 + 93.
4*t
Collect the terms in 4*j - 1 - 7*j - 5*j + j.
-7*j - 1
Collect the terms in 2843*m**2 - 10*m + 10*m.
2843*m**2
Collect the terms in -2*x**2 - 16*x**3 - 1 + 2*x**2 - 3*x**3.
-19*x**3 - 1
Collect the terms in -4*n**3 - 36*n**3 - 19*n**3.
-59*n**3
Collect the terms in -532*i + 4*i**2 - 12*i**2 + 4*i**2.
-4*i**2 - 532*i
Collect the terms in -31*x**2 + 79*x**3 + 31*x**2.
79*x**3
Collect the terms in 11*r**2 - 14*r**2 + 0*r**2 - r**2.
-4*r**2
Collect the terms in -5336*q**2 - 3*q**3 + 11*q**3 + 5336*q**2.
8*q**3
Collect the terms in 3*h**2 - 2*h**2 - 30*h - 2*h**2.
-h**2 - 30*h
Collect the terms in 3*b**2 - 10*b**2 + 4*b**2 + b**2.
-2*b**2
Collect the terms in 3*h**2 + 0*h**2 - 15*h + 29*h - 14*h.
3*h**2
Collect the terms in 4 + 28*f - 5 + 3.
28*f + 2
Collect the terms in g + 3 - 1 - 2.
g
Collect the terms in 13*v**3 + 7*v**3 + 17*v**3 + 4 - 5.
37*v**3 - 1
Collect the terms in -k**2 - 2*k**3 + 5*k**2 - 4*k**2.
-2*k**3
Collect the terms in 4*b**2 - 386 + 386.
4*b**2
Collect the terms in -12 - 2*w**2 + 31 - 14 - 5.
-2*w**2
Collect the terms in -77*g**3 - 51*g**3 + 119*g**3.
-9*g**3
Collect the terms in 232*w + 13*w + 18 - 18.
245*w
Collect the terms in -2 - 16*f**2 - 2*f**2 + 22*f**2 + 2.
4*f**2
Collect the terms in -25*b**3 - b**2 + b**2 - 15*b**3.
-40*b**3
Collect the terms in -l**3 + 159*l**2 + 3 - 2*l**3 - 3.
-3*l**3 + 159*l**2
Collect the terms | {
"pile_set_name": "DM Mathematics"
} |
- 3 + 1)*(-h**2 - 2*h + 2*h) + 4*h - 4*h - 12*h**2.
-11*h**2
Expand (7 + 2 - 3)*(-2*g - 3*g + g).
-24*g
Expand (-4 - 54*l + 4)*(0 + 2 + 0)*(-4 + 4 + 2*l).
-216*l**2
Expand 4*l**3 - 3*l**3 - 2*l**3 + (0*l**2 + l**2 + l**2)*(-2 + 2 - 2*l) + (-21 - 16 + 20)*(l**3 + 2*l**3 - 2*l**3).
-22*l**3
Expand -3 + 3 + w + (1 + 1 + 1)*(0 + 0 - 2*w).
-5*w
Expand (-2*y - y + 0*y)*((1 - 1 - 6)*(1 + 2 - 1) + (-3 - 4 + 6)*(4 + 0 - 2)).
42*y
Expand (-2*x**2 - 3*x + 3*x)*((7*x - 3*x - 2*x)*(-6 + 4 + 0) - 2*x - x + 4*x - 1 + 2*x + 1 - x + 4*x - 5*x).
6*x**3
Expand (1 + 3 - 2 - 7 + 4 + 2 + (-3 + 0 + 1)*(-3 + 6 - 1))*((2*k + 2*k - 5*k)*(-3*k**4 - 1 + 1) + 2*k**5 + k**2 - k**2).
-15*k**5
Expand 50 - 50 + 20*n**4 + (-2*n - 2*n + 2*n)*(-1 + 1 + n**3).
18*n**4
Expand (-4*q - 7*q**2 - 3 + 4*q**2 - 2*q)*(-1 + 4 - 2).
-3*q**2 - 6*q - 3
Expand (3*i + 5*i - 4*i)*(-4*i - 33 - 6*i + 9*i).
-4*i**2 - 132*i
Expand (5*d + 10*d + 8*d)*(-5 + 4 - 2).
-69*d
Expand (4 - 4 + 4*r)*(-4*r + 3*r + 2*r)*(2 + 1 - 2)*(r + r + 0*r).
8*r**3
Expand (-1 + 1 - x**4)*(1 + 5 - 5)*(24 - 28 + 23).
-19*x**4
Expand (4*i - 4*i + i)*(-52 + 13*i**2 + 52).
13*i**3
Expand (3*f**2 - 5*f**2 + 3*f**2)*((-2 + 2*f + 2)*(-5 - 4 + 33) + f + 2*f - f).
50*f**3
Expand (v - v + 2*v**2 + (4*v - 4*v - v)*(0*v - v + 4*v))*(-v + 5*v + 0*v).
-4*v**3
Expand (-f**2 + 4*f - 4*f)*(12*f - 11*f - 2*f**2 - 2*f**2).
4*f**4 - f**3
Expand (-3*l + 3*l - 2*l**2 + (2*l + l - 2*l)*(2*l - 3*l + 0*l))*(-7 - 5 + 2*l + 5 + (-l + 2*l - 3*l)*(1 - 6 + 3)).
-18*l**3 + 21*l**2
Expand y**2 - 4*y**2 + 4*y**2 + (4 - 1 - 1)*(-2 - 2*y**2 + 2) + (2 - 1 + 2)*(-6*y**2 + 4*y**2 + 3*y**2) + 3*y**2 + 4*y**2 - 4*y**2.
3*y**2
Expand (-o - 3*o + 3*o)*(3 + 3 - 5) + (2*o - 3*o + 2*o)*(2 - 3 - 3).
-5*o
Expand (0*m + 3*m + m)*(-m - m + 3*m)*(2 - 1 + 0).
4*m**2
Expand 0*y + 7*y + 4*y + y - 5*y + 5*y + (-3 + 3 - y)*(-1 + 2 - 2).
13*y
Expand (y + 0*y + 4 - 3)*(2 - 3 + 2) + 30*y - 3*y - 8*y.
20*y + 1
Expand (2*i**5 + 4*i**5 - 3*i**5)*(1 + 2 - 1)*(1 - 6 - 1).
-36*i**5
Expand (-4*k + 0*k + 3*k - k - 3*k + 3*k - 2*k + 3 - 3 + (-k + 0 + 0)*(4 - 3 - 2) + 2 - 2*k - 2 - 3*k + 4*k - 2*k - 2*k + 1 - 1 - 2*k + k - 4*k)*(1 - 4 + 5).
-26*k
Expand (4*s + 3*s**2 - 4*s)*(-4*s + 3*s + 2*s + (5 - 1 - 6)*(s + 2*s - 4*s)).
9*s**3
Expand (-4*y**2 + 4*y**2 - 2*y**4)*(11 + 0 + 2).
-26*y**4
Expand j**3 + 3*j**3 - 6*j**3 + (-2*j**2 - j**2 + 4*j**2)*(j - 4*j + j) + (2*j - 2 + 2)*(0 - 1 - 1)*(-13*j**2 + 11*j**2 - 31*j**2).
128*j**3
Expand 3*o**5 - 7*o**5 + o**5 + o**5 + o**3 - o**3 + (4*o**3 - 4*o**3 + 2*o**3)*(-2*o**2 + o - o) - 2*o**5 + 3*o**5 - 2*o**5.
-7*o**5
Expand 7*g**3 + 3*g**3 - 3*g**3 + (0*g - 2*g + 0*g)*(-3*g**2 + 0*g**2 + g**2).
11*g**3
Expand (-l + 18 - l + 0*l)*(-5*l + 4*l + 0*l).
2*l**2 - 18*l
Expand (5 - 2 - 1)*(-i**3 - i**3 + i**3)*(-i**2 + i**2 + 2*i**2).
-4*i**5
Expand (3*r + 0*r - 2*r)*(-208 + 73*r**2 + 208).
73*r**3
Expand 72*w**2 + 1582 - 1582 + (w - 4*w + 4*w + (0 + 4 - 2)*(-1 + 1 + w) - w + 0*w + 3*w)*(1 - 1 - 2*w).
62*w**2
Expand -5*l + 12 - 12 + (-7 + 7 + 6*l)*(0 + 2 - 1).
l
Expand (1 - 3 - 2 - 2)*(-p + p - p).
6*p
Expand (-1 - 3 + 3)*(-4 + 2*s + 4)*(3*s - 7*s + s).
6*s**2
Expand ((2 - j - 2)*(0*j - 4*j + 3*j) + 5*j**2 - 2*j**2 - 2*j**2)*(0*j - 3*j + 5*j).
4*j**3
Expand 7*c**3 - 8*c**5 - 7*c**3 + c + 0*c**5 + 0*c**5 + c**5 - 4*c**5 + 2*c**5 + 4*c**5 + (1 - c - 1)*(-c**4 + c - c) + c - c + 2*c**5.
-2*c**5 + c
Expand 1 - 1 + k + (0*k - 2*k + 4*k)*(2 - 2 + 2) + 11*k + 3*k + 5*k + (2*k - 2 + 2)*(3 + 1 - 5).
22*k
Expand b**2 - 2*b**2 - 2*b**2 + (-b + 6*b - 3*b)*(2*b + 3 - 3) - 3*b**2 + 19*b**2 + 6*b**2.
23*b**2
Expand 2*n**3 + 0*n**3 - n**3 + (4 - 1 - 2)*(3 + n**3 - 3) - 4*n**3 - 2*n + 2*n + n**2 - n**2 - n**3.
-3*n**3
Expand (59*l**2 - 27*l**2 - 32*l**2 - 23*l**3)*(-l**2 + 0 + 0).
23*l**5
Expand (5 + 0 - 1)*(-3*q**5 + 4*q + 4*q**5 - 2*q**5).
-4*q**5 + 16*q
Expand (5*s - 5*s + 5*s)*(0*s + 7*s - s).
30*s**2
Expand (-4 + 5 + 1)*(-91*g + 211*g + 102*g).
444*g
Expand (-5*c**4 - 3*c**4 + 2*c**4)*(-c + c + c) - 2*c**5 + c**3 - c**3.
-8*c**5
Expand (6 - 6 + v)*(2*v + 5*v - 6*v) + (-4 - 2*v + 4)*(-2*v + 0 + 0).
5*v**2
Expand (0*m + 4*m - 6*m)*(-4 + 1 + 8)*(m + 3*m + 2*m).
-60*m**2
Expand (-2 + 2 - 2*d)*(d + d - 4*d) - 2*d**2 + 1 - 1 - 8 - 1 - 3*d**2 + 5*d**2.
4*d**2 - 9
Expand (-l**4 + l**4 - 2*l**4)*(1 + 4 - 6)*(2 - 3 + 0).
-2*l**4
Expand -3*t + 2*t - t + (-6 + 4 + 0)*(5*t - 3*t - 4*t) + (-3 - 2 + 3)*(4*t - 3*t + 0*t) + 4 + t - 4.
t
Expand (-2*m + 0*m - 2*m)*(-3*m**2 + m**3 + 3*m**2).
-4*m**4
Expand (-2*s**5 + 3*s**3 - 3*s**3)*(-4 + 2 + 1) + 11*s**3 - 9*s**3 - 12*s**3 + 4*s**5.
6*s**5 - 10*s**3
Expand 3*i**3 - 4*i**3 + 0*i**3 + (18 - 18 + 18*i)*(3*i**2 - 2*i**2 + i**2) - i**3 + 3*i**3 - 4*i**3 + 3*i**3 - 2*i**3 + 0*i**3.
34*i**3
Expand (-4*y + 2*y + y)*(-6*y + y + 3*y) + 2*y**2 - 1 + 7*y**2 - 8*y**2.
3*y**2 - 1
Expand 3*b - 3*b - b**4 + (-b + b**3 + b)*(0*b + 0*b + 3*b).
2*b**4
Expand 6*c**4 + 0*c**4 - 4*c**4 + (2*c**4 + c**4 - 4*c**4)*(0 + 2 + 3).
-3*c**4
Expand (1 + 6*g - 1)*(1 - 12*g**2 + g + g + 13*g**2).
6*g**3 + 12*g**2 + 6*g
Expand (2*z - 3*z + 2*z)*(4 - 3 + 0)*(1 - 1 - 2)*(-z + 3 - 3).
2*z**2
Expand -i**2 + i**2 + 2*i**2 + 3*i**2 + i**2 - 2*i**2 + (-2 + 2 - 2*i)*(-2*i - 2*i + i).
10*i**2
Expand 2*c - 2*c - c**3 + (-38 + 4*c + 38)*(0 - 2*c**2 + 0).
-9*c**3
Expand 0*a**2 + 5*a**2 - 3*a**2 + (0 + 0 + 2*a)*(-2*a + a - a) + 16*a**2 - 13*a**2 + 20*a**2.
21*a**2
Expand (2*n**3 + 2*n**2 - 2*n**2)*((2 + n - 2)*(5*n - n - 2*n) - 621*n - 1 + 2*n**2 + 621*n).
8*n**5 - 2*n**3
Expand (-2*z**4 + 3*z**4 - 5*z**4)*(-9 - 3 + 1)*(z - z - z).
-44*z**5
Expand (-z**2 - 2*z**2 + z**2)*(2*z + 2*z + 0*z)*(2*z**2 - z**2 - 2*z**2)*(1 - 1 + 5).
40*z**5
Expand (-5*b**2 - 3*b**3 + 5*b**2 + (-6*b**2 + 2*b**2 + b**2)*(6*b - 4*b - 4*b))*(-2 + 2 + 1).
3*b**3
Expand 5*z**5 + 0*z**5 - z**5 + (-z - 2*z + 4*z)*(z**4 + 3*z**4 - 3*z**4) - 1 + z**5 + 1 + 2*z**2 - 2*z**2 - z**5 - 6*z**5 + 12*z**5 + 9*z**5.
20*z**5
Expand (-4 + 2 - 2 + 2 - 2 - 1 + (-2 + 1 + 0)*(1 - 3 + 0) + 0 - 4 + 2 - 3 - 2 + 3)*(2*s + 0 + 0).
-14*s
Expand (0*l - l**2 + 0*l)*(-5 + 5 - 3*l**2) + l**4 + l**4 + 5*l**4.
10*l**4
Expand 5*x + 5*x + 16*x + x + 0*x - 3*x + (-3 + 3 - 2)*(-2*x + 2*x + x) + 2*x + 0*x - 4*x + x + 3*x - 2*x + x + 2 + x - x.
23*x + 2
Expand -1 + 1 + 5*p**3 + (-4*p**2 - p**2 + 3*p**2)*(-10*p - 30 + 30) + (4*p + 2*p - 4*p)*(-3*p + 3*p + p**2) - p**3 - 1 + 1.
26*p**3
Expand (-2*o**2 - 3*o + 3*o)*(3 - 4 + 2) + (0*o + o**2 + 0*o)*(0 - 3 + 2).
-3*o**2
Expand (4*g**2 - 3*g**2 - 4*g**2)*(3*g - 3*g - 3*g**2) + 3*g**2 - 3*g**2 + g**4.
10*g**4
Expand b**3 + 2 - 2*b**3 - 3 + (5 - b**2 - 5)*(-b + 4*b + 2*b).
-6*b**3 - 1
Expand (2 + 2 - 5)*(p - 29*p + 7*p + 3).
21*p - 3
Expand (-2*s + 3*s**2 + 2*s)*(3*s**2 - 6*s**2 + 5*s**2) + s**4 - 2*s**4 + 0*s**4 + ((2*s + 3*s - 3*s)*(0 - 4 + 6) + 3*s + 2*s - 3*s)*(-s**3 + 0*s + 0*s).
-s**4
Expand (13*k - 5*k**3 - 13*k)*(6*k + 5 - 2*k - 4).
-20*k**4 - 5*k**3
Expand (p**4 + 3*p**4 - 5*p**4 - p**4 + 0 + 0 + (-4*p**4 - 3*p**4 + 5*p**4)*(-2 - 1 + 1) + 4*p**3 + p**4 - 4*p**3 + p**3)*(0*p - 4*p + p).
-9*p**5 - 3*p**4
Expand (-5 - p**2 + 5)*(p - p**3 - p) - 1 + 1 - 3*p**5 + p**5 + p**5 - 4*p**5.
-4*p**5
Expand (4*o + 0*o + 6*o)*(0*o**2 + 4*o**2 - 2*o**2) + 1 - o**3 - 1 + (-3*o - 3*o + 5*o)*(-o**2 + 0*o**2 + 2*o**2) - 1 + 1 - 2*o**3 - 3*o**3 + o**3 + 0*o**3.
14*o**3
Expand (-3*f**3 + 2*f**3 + 3*f**3)*(1 - 8 - 10*f**2 + 6).
-20*f**5 - 2*f**3
Expand (-2*h + h - h)*(2 - 2 - 1) + 3*h - 11 + 11 - h + h - h + (4 - 3 - 2)*(-2 + 2 - 2*h) - 3*h + 3*h + 2*h.
8*h
Expand (-3*p**2 + 0*p**2 + p**2)*(16 - 15*p - 16).
30*p**3
Expand (0*a**2 + 3*a**2 - 6*a**2)*(2*a + 7 - 2 + 1).
-6*a**3 - 18*a**2
Expand 6*q**3 - 5*q**3 - 2*q**3 + (3*q - 3*q**2 - 3*q)*(-q - 2 + 2).
2*q**3
Expand (0*x**2 + x**3 + 0*x**2)*(-2 - 3*x + 2) + 4*x**4 - 5*x**4 - x**4.
-5*x**4
Expand 3*d**3 - 3*d**5 + 4*d**5 - d**3 + (d**5 - 4*d**5 + 5*d**5)*(1 - 3 + 0).
-3*d**5 + 2*d**3
Expand (2*x - 3*x + 2*x)*(2*x**3 + x - x) + (2*x**3 + 0*x**3 + 0*x**3)*(-5*x + 2*x + x).
-2*x**4
Expand (0 - i - 4 + 5)*(-1 + 3 - 1).
-i + 1
Expand 50 - 50 + 7*h**2 + (2*h**2 - 3*h**2 + 3*h**2)*(0 - 5 + 3).
3*h**2
Expand (1 - 1 + 2*h)*(-3*h + 0*h - h) - 5 + 5 + 3*h**2 + 2*h**2 - 4 + 4.
-3*h**2
Expand (-2*w**2 - 2*w**3 + 2*w**2)*(-11*w - 7*w + w).
34*w**4
Expand (2 - 3 - 2)*(9 + j - 9). | {
"pile_set_name": "DM Mathematics"
} |
12/1001
Calculate prob of sequence hyyi when four letters picked without replacement from dkyiddhdhdiyyhi.
3/1820
Two letters picked without replacement from {u: 3, k: 5, d: 1, g: 2, e: 1}. What is prob of sequence eg?
1/66
Two letters picked without replacement from {r: 1, v: 1, m: 4, l: 4, k: 1}. Give prob of sequence mv.
2/55
Two letters picked without replacement from {a: 1, i: 2, s: 8, r: 4, d: 2, x: 2}. Give prob of sequence xd.
2/171
Two letters picked without replacement from {p: 1, o: 1, w: 3, v: 3, j: 3}. What is prob of sequence jj?
3/55
What is prob of sequence xgx when three letters picked without replacement from nsxxg?
1/30
Calculate prob of sequence zrr when three letters picked without replacement from lzlqliilcrrr.
1/220
What is prob of sequence lu when two letters picked without replacement from luluuuuuuu?
8/45
What is prob of sequence jj when two letters picked without replacement from jjjj?
1
What is prob of sequence bn when two letters picked without replacement from {a: 1, s: 5, b: 7, o: 1, n: 1}?
1/30
What is prob of sequence fw when two letters picked without replacement from {f: 2, c: 6, w: 4}?
2/33
Four letters picked without replacement from vjvjvej. Give prob of sequence jvve.
3/140
Two letters picked without replacement from {n: 2, m: 7}. What is prob of sequence mn?
7/36
Two letters picked without replacement from psussupsupu. What is prob of sequence uu?
6/55
What is prob of sequence vjur when four letters picked without replacement from {v: 2, i: 2, u: 3, j: 1, r: 4, z: 3}?
1/1365
Three letters picked without replacement from {w: 2, c: 2, q: 2, a: 1, s: 4, g: 4}. What is prob of sequence csq?
8/1365
Calculate prob of sequence ffff when four letters picked without replacement from fffff.
1
Two letters picked without replacement from {d: 11, w: 4, q: 3}. Give prob of sequence qw.
2/51
Three letters picked without replacement from xmxxxxmxcxxcccxcxox. Give prob of sequence moc.
5/2907
Calculate prob of sequence rs when two letters picked without replacement from {m: 1, r: 1, j: 2, k: 1, c: 2, s: 2}.
1/36
What is prob of sequence drq when three letters picked without replacement from rgdqgdgqdqdqdggdg?
1/170
Calculate prob of sequence jnn when three letters picked without replacement from nfnjj.
1/15
Three letters picked without replacement from {z: 7, n: 1, v: 6, e: 1}. What is prob of sequence vev?
1/91
Two letters picked without replacement from xrhrrohlloroxrloor. Give prob of sequence hl.
1/51
What is prob of sequence ixf when three letters picked without replacement from fxi?
1/6
Two letters picked without replacement from {g: 1, m: 4, r: 2}. What is prob of sequence rg?
1/21
Two letters picked without replacement from {m: 9}. Give prob of sequence mm.
1
Three letters picked without replacement from {j: 4, s: 3, o: 12, g: 1}. What is prob of sequence gos?
1/190
Two letters picked without replacement from gooboooggyogo. What is prob of sequence yg?
1/39
What is prob of sequence dkk when three letters picked without replacement from kkdkdkkkkdd?
28/165
What is prob of sequence uuy when three letters picked without replacement from {y: 2, u: 2, i: 10}?
1/546
Four letters picked without replacement from hhhhhhhhh. Give prob of sequence hhhh.
1
Calculate prob of sequence pm when two letters picked without replacement from ppmffmffmmpmpp.
25/182
Three letters picked without replacement from {i: 1, t: 2}. What is prob of sequence tti?
1/3
Two letters picked without replacement from {n: 1, b: 3, c: 2, p: 2, k: 10, g: 1}. Give prob of sequence pg.
1/171
Calculate prob of sequence ug when two letters picked without replacement from {k: 1, g: 1, u: 1, l: 1, d: 1}.
1/20
Three letters picked without replacement from vvvvvovvvvvvvvvvvovv. What is prob of sequence ovo?
1/190
Three letters picked without replacement from {u: 2, n: 2, p: 3, c: 4}. What is prob of sequence nuu?
2/495
Two letters picked without replacement from {o: 13, h: 1, z: 3}. Give prob of sequence oh.
13/272
Calculate prob of sequence zwzt when four letters picked without replacement from ptpppwpzizpz.
1/1980
What is prob of sequence bg when two letters picked without replacement from {a: 1, u: 4, k: 3, b: 6, d: 1, g: 1}?
1/40
Three letters picked without replacement from {w: 1, r: 2, b: 1}. What is prob of sequence bbr?
0
What is prob of sequence ywy when three letters picked without replacement from guwwgwuguyyuuuu?
1/455
Calculate prob of sequence mvfe when four letters picked without replacement from vfkekevmd.
1/756
Calculate prob of sequence we when two letters picked without replacement from {w: 1, s: 2, m: 2, r: 2, e: 1}.
1/56
Three letters picked without replacement from {e: 2, o: 1, i: 1, p: 3}. Give prob of sequence ioo.
0
Calculate prob of sequence dddd when four letters picked without replacement from dddd.
1
Calculate prob of sequence bbe when three letters picked without replacement from ebb.
1/3
Three letters picked without replacement from uhhhhhhu. What is prob of sequence uhu?
1/28
Two letters picked without replacement from qcccjqjqvpeevvevpc. Give prob of sequence je.
1/51
What is prob of sequence hh when two letters picked without replacement from {h: 5, j: 9}?
10/91
What is prob of sequence xxmb when four letters picked without replacement from wxxxxbmbmmbxbwbbxxb?
49/5168
What is prob of sequence hbh when three letters picked without replacement from hhaahahabbabaaaahahb?
1/57
What is prob of sequence hh when two letters picked without replacement from {h: 9}?
1
What is prob of sequence oz when two letters picked without replacement from ioeieheooiz?
3/110
Calculate prob of sequence jc when two letters picked without replacement from {j: 1, c: 2, y: 2}.
1/10
What is prob of sequence nko when three letters picked without replacement from nyyyknnkyooyynnykyn?
2/323
Calculate prob of sequence jyj when three letters picked without replacement from {j: 15, y: 4}.
140/969
What is prob of sequence rmp when three letters picked without replacement from lrmmdph?
1/105
Calculate prob of sequence jl when two letters picked without replacement from lolololloolooj.
3/91
What is prob of sequence zaz when three letters picked without replacement from zzzazazzazazzazzaza?
154/969
Four letters picked without replacement from {r: 13, o: 3, e: 2}. Give prob of sequence oeee.
0
Two letters picked without replacement from kfkzzw. Give prob of sequence kz.
2/15
Calculate prob of sequence zx when two letters picked without replacement from {s: 1, m: 5, j: 8, x: 2, z: 3}.
1/57
Four letters picked without replacement from mbumuzmmzzu. Give prob of sequence zzzu.
1/440
Three letters picked without replacement from mrkmkmmrkorkm. Give prob of sequence mkr.
5/143
Two letters picked without replacement from {c: 3, t: 4}. Give prob of sequence tt.
2/7
Calculate prob of sequence snn when three letters picked without replacement from nsnsnnqssqns.
5/66
Calculate prob of sequence bo when two letters picked without replacement from {b: 10, o: 4}.
20/91
What is prob of sequence oiid when four letters picked without replacement from {b: 1, d: 2, i: 4, o: 1, k: 2}?
1/210
Calculate prob of sequence noo when three letters picked without replacement from oonfnar.
2/105
Two letters picked without replacement from llxrxxlxllllxxl. Give prob of sequence xl.
8/35
Three letters picked without replacement from {k: 5, u: 6, e: 2, p: 1, h: 5, a: 1}. What is prob of sequence hkk?
5/342
Three letters picked without replacement from {c: 2, n: 8}. Give prob of sequence nnn.
7/15
Calculate prob of sequence fu when two letters picked without replacement from {b: 2, u: 4, k: 1, f: 7}.
2/13
Two letters picked without replacement from {m: 2, w: 1, j: 1}. Give prob of sequence wj.
1/12
Three letters picked without replacement from {l: 2, n: 4, j: 2, q: 6, t: 3, b: 1}. Give prob of sequence tnl.
1/204
Two letters picked without replacement from uwuvuvvvuuv. What is prob of sequence vw?
1/22
Four letters picked without replacement from xkrkkkrrzkzkkkkzkkz. Give prob of sequence xkrr.
11/15504
Calculate prob of sequence zwz when three letters picked without replacement from wzzwwwwzzwwzzwwzzzw.
40/323
Calculate prob of sequence tlpe when four letters picked without replacement from tt | {
"pile_set_name": "DM Mathematics"
} |
**2 + f + 501. Let q be g(0). Is 30 a factor of q/6 - (-1)/(-2)?
False
Suppose 14 = 4*j - 2*h, 3*j - 4*h = 17 - 4. Suppose j*m - 3 - 60 = 0. Suppose -y + m = 2*y. Does 3 divide y?
False
Is ((-114)/(-9))/((-1)/(-3)) a multiple of 10?
False
Let b = -16 - -22. Let x = b - 4. Suppose 0 = -2*w + 2, 2*s - 3*s - x*w + 12 = 0. Does 9 divide s?
False
Let j be ((-30)/4)/(1/(-2)). Does 4 divide 1*(j + -4 + 2)?
False
Is 14 a factor of 25 + (3 + 1 - 1)?
True
Suppose -5*s - 133 = -3*f - 9*s, 0 = -f - s + 46. Is 17 a factor of f?
True
Let p(n) = -n**2 - 4*n - 2. Let g be p(-2). Suppose 0 = 2*j + g*j + 328. Let k = 116 + j. Does 14 divide k?
False
Suppose 2 + 1 = m. Suppose m*f - 11 = -5. Is f a multiple of 2?
True
Does 32 divide (-506)/(-8) + (-39)/(-52)?
True
Suppose 0*o = o + 1. Let t be o + 208 + (2 - 1). Suppose -205 = -5*v - 3*n + 8*n, -5*v + t = -2*n. Is v a multiple of 16?
False
Let d(l) = l - 13. Let i be d(7). Let g = 13 + i. Is g a multiple of 2?
False
Suppose -5*y = -10*y + 90. Does 13 divide 896/y + 2/9?
False
Suppose 0 = m + 49 + 14. Let a = 114 + m. Is 17 a factor of a?
True
Let l(p) = 7*p**2 + 58*p + 12. Is 39 a factor of l(-12)?
False
Let s(u) = -u**3 - 9*u**2 - u + 13. Is 6 a factor of s(-9)?
False
Let a be (-3 - -1)/(2/(-4)). Does 17 divide (-70 + 8/a)/(-1)?
True
Let p(m) = 29*m - 3. Let a be p(4). Let x = 175 - a. Does 12 divide x?
False
Suppose 18*b - 15*b + 18 = 0. Let c = 0 - b. Does 6 divide c?
True
Let g(m) = 9*m**3 + 2*m**2 + 5. Let o(a) = a**3 + 1. Let h(z) = -g(z) + 6*o(z). Let j be h(-1). Is 15 a factor of j/4*43*2?
False
Let x be 1/2*2*4. Suppose m - 379 - 32 = -3*v, 2*v - x*m = 260. Suppose 0 = -4*i + v + 8. Does 14 divide i?
False
Suppose 92 = -2*a + 2*v + 524, -a + 218 = -3*v. Is 66 a factor of a?
False
Suppose -1 = -3*k + 5. Let p = k + 4. Let o = p + 13. Does 16 divide o?
False
Suppose 0 = 3*h - 5*h + 322. Is h a multiple of 11?
False
Let n be 2/(-5) + (-214)/(-10). Suppose -4*i + 1 - n = 0. Let u(p) = -p**2 - 6*p + 7. Is 11 a factor of u(i)?
False
Suppose 0 = 5*b + 3*o + 44, -5*b - 26 = -3*o - 0*o. Let p = 15 + b. Does 8 divide p?
True
Suppose 2*v + 2*v - 12 = 0. Suppose -v*z - 17 = -56. Let m = 35 - z. Does 11 divide m?
True
Suppose 25 = n - 4*y, -2*n = -y + 3*y. Is 2 a factor of n?
False
Let t = 4 + 11. Is 3 a factor of t?
True
Suppose 0*g = 4*g - b - 18, 0 = -3*g - 2*b + 19. Suppose 0 = g*z - 10*z + 190. Is z a multiple of 19?
True
Let o(a) = -11*a. Let u be o(-7). Suppose -g = r - 30, 3*r = -g + u + 15. Is r a multiple of 13?
False
Let y = 8 + -6. Let a be 0 + (-4 - y - 2). Let q = a - -11. Does 2 divide q?
False
Suppose 23 = 5*f - 0*x - 3*x, 3*f - 14 = 2*x. Suppose 4*v - 47 = -5*b, 3*v - 2*b - f - 60 = 0. Does 9 divide v?
True
Let h(n) = -33*n**3 - n**2 + 2*n + 2. Is h(-1) a multiple of 21?
False
Let s(r) be the second derivative of -37*r**5/20 - r**4/12 + r**3/3 - r**2/2 + 4*r. Let n be s(1). Let x = n + 79. Does 14 divide x?
True
Let n = 4 + -3. Let c be 2/(1 - (-1 + n)). Suppose -5*y + 2*o - 5*o = -90, 4*y = -c*o + 70. Does 15 divide y?
True
Let i = 0 - 1. Let q(v) = v**3 - 4*v**2 - 5*v - 2. Let o be q(5). Is (-1)/((0 - i)/o) a multiple of 2?
True
Suppose -23*g = -24*g + 75. Is 23 a factor of g?
False
Let o(u) = 5*u**2 + 14*u + 31. Let l(i) = i**2 + 3*i + 6. Let d be -3 + 1 + 1 + -1. Let h(w) = d*o(w) + 11*l(w). Is h(-6) a multiple of 10?
True
Let l = 8 - 4. Suppose -l*r - 6 = 42. Does 2 divide 11/4 + (-3)/r?
False
Let t(u) = 7*u**3 - 14*u**2 + 5*u - 5. Let x(i) = -10*i**3 + 21*i**2 - 8*i + 8. Let f be 10*(2 + (-9)/6). Let m(n) = f*x(n) + 7*t(n). Does 8 divide m(6)?
False
Suppose -2*i + 0*i + 6 = 0. Suppose 0 = -5*o + o. Let x = o + i. Is 3 a factor of x?
True
Suppose 14*p + 894 = 20*p. Is 7 a factor of p?
False
Suppose 5*v + 4*c = 31, 4*v - 2 = -3*c + 22. Suppose -81 + 3 = -v*h. Is h a multiple of 6?
False
Let j = -56 + 97. Is 16 a factor of j?
False
Let m = 44 - -5. Does 12 divide m?
False
Suppose 0 = -k - 22 + 64. Is 14 a factor of k?
True
Let r(d) = -d. Let t be r(0). Let s(n) = t - 3 - 4 - 4*n. Is s(-7) a multiple of 14?
False
Let t(x) = x**3 + 7*x**2 - 11*x - 12. Let s be t(-8). Does 8 divide ((-36)/(-15))/(s/40)?
True
Let p be 2/(-5) + (-126)/(-15). Is (-6)/p*(-6 + -6) a multiple of 6?
False
Let w be (67/4)/((-2)/(-8)). Suppose 5*c = w + 13. Is c a multiple of 16?
True
Let h(m) = 5*m**2 - 1. Is 14 a factor of h(-3)?
False
Let m be 4/(8/(-116)*-1). Suppose 3*n + x = 3*x + 119, 2*n + 4*x - m = 0. Is n a multiple of 7?
False
Let g(b) = -11*b + 2. Suppose -4*i + 2*i = 0. Let z = i - 2. Does 12 divide g(z)?
True
Let t be ((-90)/27)/((-4)/6). Let v(c) = 4 - 5*c + 4*c + 5. Is v(t) a multiple of 4?
True
Suppose -t + 4 - 1 = 0. Is -3 + t + (-16)/(-2) a multiple of 3?
False
Let p(g) be the first derivative of g**4/2 - 4*g**3/3 + g**2/2 + 2*g + 3. Is p(2) a multiple of 2?
True
Let s(l) be the first derivative of -l**4/4 + 2*l**3 + 9*l**2/2 + 4*l - 3. Is s(7) a multiple of 12?
False
Let u be (5/(-10))/(1/20). Let x = 17 + u. Is x a multiple of 3?
False
Is 28 a factor of (122/6 + -1)/(72/324)?
False
Let c = 34 - 20. Let j = 32 + c. Is 23 a factor of j?
True
Let b(v) = 3*v**3 - 10*v**2 + 4*v - 8. Is b(4) a multiple of 5?
True
Does 5 divide -1 + 63 + 6 + -9?
False
Let y(r) = 12*r. Let k(z) = 13*z. Let t(x) = -2*k(x) + 3*y(x). Let l be -1 + 3 - -1*1. Does 14 divide t(l)?
False
Suppose 3*z + 0*n - 60 = n, -20 = -z - 4*n. Is 10 a factor of z?
True
Let s be 2/3 + 14/(-3). Let k(b) = -b**2 - 2*b + 2. Let i be k(s). Let p = i - -11. Is p a multiple of 2?
False
Suppose 2*u + 3*u - 2*x - 185 = 0, -5*u - 5*x = -150. Is u a multiple of 9?
False
Suppose 2*g - 55 = -17. Let l = -5 + g. Is 5 a factor of l?
False
Suppose 0 = 4*w + 4 - 8, -5*w = -3*m + 289. Is 19 a factor of m?
False
Let y(c) = c - 10. Let p be y(8). Let o = -4 - p. Let i = o + 7. Is i a multiple of 4?
False
Suppose 3*f = 32 + 1. Suppose -3*r + 34 = -2*r. Suppose -r = -v - f. Does 14 divide v?
False
Let a = -53 + 99. Does 23 divide a?
True
Suppose 2 - 10 = -4*w. Let p be (-2 - -2)*(-1)/w. Suppose p = r - 2*r + 10. Does 5 divide r?
True
Let d(r) = 2*r - 12. Let m be d(8). Suppose m*s + 11 = c, 2*c - s = 5 + 3. Suppose -13 = -c*n - 4. Does 2 divide n?
False
Let y be ((-5)/4)/((-4)/128). Let r = -28 + y. Is r a multiple of 12?
True
Suppose 49 + 47 = -2*p. Let a = -73 - 0. Let u = p - a. Is u a multiple of 19?
False
Suppose 2*b - 3 = o, 2*o = 6*o - 5*b. Let t = 7 + o. Is 6 a factor of t?
True
Let z(f) = -f**2 - 7*f + 10. Let o be ((-20)/(-6))/(4/6). Suppose 17 = -o*d - 18. Is z(d) a multiple of 10?
True
Let u(n) = n**3 + 5*n**2 - 6*n - 3. Let l be u(-6). Let z(g) = -10*g + 1. Does 7 divide z(l)?
False
Let i = -32 + 72. Let g be i/12*117/2. Suppose 0 = 5*u + m - g, 115 = 3*u + m - 0*m. Is 12 a factor of u?
False
Suppose h = 4*h + 5*b - 43, h = -2*b + 16. Suppose 0 = h*m - 3*m + 84. Let z = m - -47. Does 16 divide z?
False
Suppose 104 = 69*c - 65*c. Is c a multiple of 8?
False
Let i = -8 + 14. Does 7 divide 116/i - 1/3?
False
Let a = 24 - 21. Let h be 92/6 + (-2)/6. Suppose -h = -3*u - a. Is 4 a factor of u?
True
Let k = 328 - 212. Is k a multiple of 13?
False
Suppose -u + 0*u = 0. Suppose -4*b + u*b = -44. Does 3 divide b?
False
Let n be -126*((-21)/6 + 2). Let z = -449 + n. Does 3 divide z/(-28) + 2/(-7)?
True
Suppose 0 = 4*w - 26 + 10. Suppose -w*i - 112 = 60. Let c = -26 - i. Is c a multiple of 17?
True
Suppose 2*g - 3*s - 67 = 0, g - 21 = 2*s + 13. Is 32 a factor of g?
True
Suppose 4*h - d = 3*d + 28, -3*d + 15 = 0. Is h a multiple of 12?
True
Let t = -4 - -6. Suppose -3*d - 2*h + 31 = 0, 3*d + h = -0*d + 32. Suppose -3*f - 31 = -t*l, 3*l + d*f = 6*f + 18. Is 6 a factor of l?
False
Let y(v) = -v + 27 - v**2 - 24 + 13*v. Is 15 a factor of y(9)?
True
Let i be (-24)/(2 + (-33)/12). Let u = 4 - 2. Suppose -5*h - u = -i. Does 3 divide h?
True
Let u(l) = 13*l - 2. Suppose -4 = -p - 3. Let o = p - -1. Does 12 divide u(o)?
True
Let k be (1/3)/(1/9). Suppose k*w - 2*w - 4 = 0. Let p = 9 - w. Is p even?
False
Let a = -2 - -2. Suppose 0*m + 5*m = 5, a = -4*o + 4*m + 20. Does 2 divide o?
True
Let c be 1140/(-27) + 6/27. Let i be 12/c + (-32)/(-14). Suppose i*f = 2 + 2. Does 2 divide f?
True
Let d(n) = n**2 - 7*n - 17. Let a be d(8). Suppose 4*v = 2*f - 102, -2*f + 3*f + 57 = -2*v | {
"pile_set_name": "DM Mathematics"
} |
254804576, -509609151, -764413726?
-1019218301
What comes next: -984220, -1968446, -2952678, -3936916, -4921160, -5905410?
-6889666
What is next in 38362, 76761, 115198, 153685, 192234?
230857
What is next in 53556, 52949, 52342, 51735, 51128, 50521?
49914
What comes next: 144938, 289845, 434758, 579677, 724602, 869533, 1014470?
1159413
What is the next term in -24631, -48516, -72401, -96286, -120171?
-144056
What is next in -1505, -1828, -2373, -3140, -4129?
-5340
What is next in -26214097, -26214099, -26214101, -26214103, -26214105, -26214107?
-26214109
What comes next: -10357, -21672, -32959, -44212, -55425, -66592?
-77707
What comes next: -163637, -1309322, -4419025, -10474754, -20458517, -35352322?
-56138177
What comes next: 464, 3354, 8672, 16418, 26592?
39194
What is next in -5634725, -5634729, -5634729, -5634719, -5634693, -5634645, -5634569?
-5634459
What is the next term in 64531, 115367, 166203?
217039
What comes next: 50551, 202122, 454725, 808360, 1263027?
1818726
What is the next term in -719, -5259, -17527, -41387, -80703, -139339?
-221159
What is the next term in 148182209, 148182211, 148182213, 148182215, 148182217?
148182219
What is next in 216416, 216375, 216334, 216293, 216252, 216211?
216170
What comes next: 142977, 285940, 428905, 571872, 714841, 857812?
1000785
What is next in 8487, 16553, 24593, 32607, 40595, 48557?
56493
What is the next term in 10175283, 20350568, 30525853, 40701138, 50876423?
61051708
What comes next: -1518331, -1518062, -1517793, -1517524, -1517255, -1516986?
-1516717
What comes next: -225273, -225295, -225315, -225333?
-225349
What comes next: 682389, 1364753, 2047117?
2729481
What is next in -1805, -3662, -5611, -7676, -9881?
-12250
What is the next term in -3581301, -14325354, -32232113, -57301584, -89533773, -128928686, -175486329?
-229206708
What is the next term in 581007, 581175, 581343, 581511, 581679, 581847?
582015
What is the next term in -5547, -23031, -52171, -92961, -145395, -209467?
-285171
What is the next term in -512, -1005, -1842, -3017, -4524, -6357, -8510?
-10977
What comes next: -1688118, -3376148, -5064174, -6752196, -8440214, -10128228, -11816238?
-13504244
What is the next term in 743, 3948, 9611, 17732, 28311, 41348?
56843
What is next in 305320, 610673, 916036, 1221415, 1526816, 1832245?
2137708
What comes next: -31756, -63505, -95232, -126937, -158620?
-190281
What comes next: -278514, -1114064, -2506650, -4456272, -6962930, -10026624, -13647354?
-17825120
What comes next: 11183, 12286, 14099, 16610, 19807, 23678?
28211
What comes next: -200, -881, -2024, -3623, -5672, -8165, -11096, -14459?
-18248
What is the next term in 1695240, 1695339, 1695438, 1695537, 1695636?
1695735
What comes next: -73403891, -146807790, -220211687, -293615582?
-367019475
What is the next term in 78927, 78930, 78941, 78966, 79011, 79082, 79185, 79326?
79511
What is the next term in -14116656, -14116671, -14116686?
-14116701
What is the next term in -102215, -63294, 1575, 92392?
209157
What is the next term in -9463, -18997, -28613, -38311, -48091?
-57953
What comes next: 15639, 31822, 48005, 64188, 80371?
96554
What is the next term in 85565, 171137, 256709, 342281?
427853
What comes next: 352851188, 352851187, 352851186?
352851185
What is next in 15976124, 31952233, 47928344, 63904457, 79880572, 95856689, 111832808?
127808929
What comes next: -428, -723, -916, -1007?
-996
What is the next term in -1915924, -3831848, -5747786, -7663744, -9579728, -11495744, -13411798?
-15327896
What comes next: 84069, 84043, 84017?
83991
What is the next term in 3188, 3291, 3454, 3677?
3960
What is the next term in -269396, -269312, -269226, -269138?
-269048
What is next in -728, -1801, -3236, -5027, -7168, -9653, -12476?
-15631
What is next in 88303666, 88303668, 88303670, 88303672?
88303674
What is the next term in -247704, -990790, -2229264, -3963126, -6192376, -8917014, -12137040?
-15852454
What is the next term in 1511, 4798, 9861, 16700?
25315
What is the next term in 176540, 353077, 529614, 706151, 882688, 1059225?
1235762
What comes next: -28197301, -28197302, -28197303, -28197304, -28197305?
-28197306
What is next in 17222, 31383, 45544?
59705
What is next in -11679245, -11679216, -11679187, -11679158, -11679129, -11679100?
-11679071
What is next in -12643958, -12643955, -12643952, -12643949, -12643946?
-12643943
What is the next term in -66442, -266374, -599806, -1066738, -1667170, -2401102, -3268534?
-4269466
What is next in -42895, -59785, -76661, -93517, -110347, -127145, -143905?
-160621
What is next in -32054307, -64108613, -96162919, -128217225?
-160271531
What is next in 78149, 156507, 235073, 313847, 392829, 472019?
551417
What is next in -93223, -186333, -279439, -372541, -465639?
-558733
What is the next term in 191452, 1531623, 5169216, 12252937, 23931492, 41353587, 65667928, 98023221?
139568172
What comes next: -9651, -10529, -11399, -12261?
-13115
What is the next term in 12708, 25254, 37800, 50346, 62892?
75438
What comes next: 27259, 27849, 29447, 32557, 37683, 45329?
55999
What is next in 4367298, 8734574, 13101848, 17469120?
21836390
What is the next term in 182344, 364690, 547040, 729394, 911752, 1094114, 1276480?
1458850
What comes next: 37772353, 37772364, 37772377, 37772392, 37772409?
37772428
What is the next term in -2196, -4747, -7660, -10935, -14572, -18571?
-22932
What comes next: 1735152, 1735129, 1735104, 1735077, 1735048?
1735017
What comes next: 7350, 7987, 8622, 9255, 9886?
10515
What comes next: -227, -716, -1473, -2450, -3599?
-4872
What is the next term in 766269, 766278, 766289, 766302, 766317, 766334, 766353?
766374
What comes next: -25828, -52983, -80138, -107293, -134448?
-161603
What is the next term in 46801, 48654, 50505, 52354, 54201, 56046, 57889?
59730
What comes next: -241341177, -241341176, -241341175, -241341174, -241341173, -241341172?
-241341171
What comes next: -29479, -29485, -29495, -29509?
-29527
What is next in -39223, -78362, -117423, -156406?
-195311
What is next in -388856, -388808, -388760, -388712, -388664?
-388616
What is the next term in 6619690, 13239380, 19859070?
26478760
What is the next term in 71459, 142914, 214357, 285782, 357183, 428554, 499889, 571182?
642427
What is next in 754, 517, -34, -1055, -2702?
-5131
What is next in 23548, 47451, 71356, 95263, 119172?
143083
What comes next: -234535, -234597, -234659, -234721, -234783, -234845?
-234907
What is the next term in -19043636, -38087252, -57130868, -76174484, -95218100?
-114261716
What is next in -11542, -15826, -20110, -24394?
-28678
What is the next term in -10672, -20779, -30322, -39301, -47716, -55567?
-62854
What is the next term in 8529, 14901, 21275, 27651, 34029?
40409
What is the next term in 419428, 839339, 1259250, 1679161, 2099072?
2518983
What is the next term in 452086, 904188, 1356288, 1808386, 2260482, 2712576?
3164668
What comes next: 7072, 7248, 7546, 7966, 8508?
9172
What is the next term in -12185, -15539, -18893, -22247, -25601, -28955?
-32309
What is next in 308060, 308207, 308450, 308789, 309224, 309755?
310382
What is the next term in 40847, 39096, 37357, 35636, 33939, 32272, 30641?
29052
What is the next term in -54264667, -108529338, -162794011, -217058686?
-271323363
What is the next term in 475446, 1901754, 4278926, 7606962, 11885862, 17115626, 23296254?
30427746
What comes next: 1972494, 3945159, 5917824, 7890489?
9863154
What is the next term in -690957, -690938, -690893, -690810, -690677, -690482?
-690213
What is next in -2033, -3943, -5853, -7763, -9673, -11583?
-13493
What comes next: -23732, -34134, -44536, -54938, -65340, -75742?
-86144
What comes next: 168492, 168901, 169310, 169719, 170128?
170537
What is the next term in -86276, -86125, -85990, -85871, -85768?
-85681
What is next in 34321, 68636, 102955, 137278, 171605, 205936?
240271
What is the next term in 74021, 73990, 73959, 73928, 73897, 73866?
73835
What is the next term in 312999, 313199, 313399, 313599?
313799
What is the next term in 4463596, 4463598, 4463598, 4463596?
4463592
What is the next term in 53830199, 53830207, 53830215, 53830223, 53830231?
53830239
What comes next: 250116, 249591, 249066?
248541
What comes next: 7934, 15897, 23882, 31889, 39918?
47969
What is the next | {
"pile_set_name": "DM Mathematics"
} |
the nearest integer?
164
What is 1485 to the power of 1/5, to the nearest integer?
4
What is 2570 to the power of 1/2, to the nearest integer?
51
What is 1732 to the power of 1/5, to the nearest integer?
4
What is the eighth root of 11118 to the nearest integer?
3
What is the square root of 898 to the nearest integer?
30
What is the square root of 5833 to the nearest integer?
76
What is 3639 to the power of 1/8, to the nearest integer?
3
What is the eighth root of 14559 to the nearest integer?
3
What is the cube root of 3368 to the nearest integer?
15
What is 119114 to the power of 1/6, to the nearest integer?
7
What is the cube root of 264 to the nearest integer?
6
What is the sixth root of 986 to the nearest integer?
3
What is the fourth root of 5576 to the nearest integer?
9
What is the third root of 26694 to the nearest integer?
30
What is the third root of 72034 to the nearest integer?
42
What is 1086 to the power of 1/2, to the nearest integer?
33
What is 10791 to the power of 1/3, to the nearest integer?
22
What is 1882 to the power of 1/2, to the nearest integer?
43
What is the ninth root of 4178 to the nearest integer?
3
What is the square root of 2843 to the nearest integer?
53
What is 10781 to the power of 1/3, to the nearest integer?
22
What is the square root of 173607 to the nearest integer?
417
What is the third root of 656 to the nearest integer?
9
What is the square root of 58177 to the nearest integer?
241
What is the cube root of 1212 to the nearest integer?
11
What is the seventh root of 4854 to the nearest integer?
3
What is the fourth root of 358 to the nearest integer?
4
What is 1586 to the power of 1/2, to the nearest integer?
40
What is the tenth root of 5877 to the nearest integer?
2
What is 1471 to the power of 1/10, to the nearest integer?
2
What is the third root of 13790 to the nearest integer?
24
What is the ninth root of 1086 to the nearest integer?
2
What is the third root of 414 to the nearest integer?
7
What is 6179 to the power of 1/8, to the nearest integer?
3
What is 46631 to the power of 1/3, to the nearest integer?
36
What is the third root of 2199 to the nearest integer?
13
What is the third root of 9629 to the nearest integer?
21
What is 40713 to the power of 1/8, to the nearest integer?
4
What is the cube root of 489 to the nearest integer?
8
What is the square root of 850 to the nearest integer?
29
What is the fifth root of 235 to the nearest integer?
3
What is 71529 to the power of 1/2, to the nearest integer?
267
What is the eighth root of 100135 to the nearest integer?
4
What is the square root of 1339 to the nearest integer?
37
What is 1147 to the power of 1/2, to the nearest integer?
34
What is the square root of 27655 to the nearest integer?
166
What is 113549 to the power of 1/3, to the nearest integer?
48
What is 24961 to the power of 1/8, to the nearest integer?
4
What is 10862 to the power of 1/4, to the nearest integer?
10
What is the square root of 1713 to the nearest integer?
41
What is 6389 to the power of 1/6, to the nearest integer?
4
What is the third root of 4645 to the nearest integer?
17
What is the third root of 7838 to the nearest integer?
20
What is the third root of 15027 to the nearest integer?
25
What is the tenth root of 11340 to the nearest integer?
3
What is 3327 to the power of 1/7, to the nearest integer?
3
What is the square root of 1560 to the nearest integer?
39
What is the fourth root of 8199 to the nearest integer?
10
What is 30892 to the power of 1/2, to the nearest integer?
176
What is 1512 to the power of 1/4, to the nearest integer?
6
What is 45859 to the power of 1/3, to the nearest integer?
36
What is 10796 to the power of 1/3, to the nearest integer?
22
What is 182 to the power of 1/3, to the nearest integer?
6
What is the third root of 25991 to the nearest integer?
30
What is the third root of 2506 to the nearest integer?
14
What is 1010 to the power of 1/2, to the nearest integer?
32
What is 7794 to the power of 1/2, to the nearest integer?
88
What is 10548 to the power of 1/3, to the nearest integer?
22
What is the third root of 4382 to the nearest integer?
16
What is the eighth root of 293 to the nearest integer?
2
What is 9785 to the power of 1/8, to the nearest integer?
3
What is the seventh root of 144 to the nearest integer?
2
What is the third root of 1300 to the nearest integer?
11
What is 22708 to the power of 1/2, to the nearest integer?
151
What is the fourth root of 167146 to the nearest integer?
20
What is the square root of 277 to the nearest integer?
17
What is the sixth root of 9659 to the nearest integer?
5
What is the square root of 26303 to the nearest integer?
162
What is the square root of 805 to the nearest integer?
28
What is the cube root of 53044 to the nearest integer?
38
What is the eighth root of 425 to the nearest integer?
2
What is the fourth root of 113 to the nearest integer?
3
What is the cube root of 841 to the nearest integer?
9
What is the cube root of 107 to the nearest integer?
5
What is the third root of 2973 to the nearest integer?
14
What is 34338 to the power of 1/2, to the nearest integer?
185
What is the ninth root of 4617 to the nearest integer?
3
What is the fourth root of 358 to the nearest integer?
4
What is the tenth root of 11525 to the nearest integer?
3
What is the sixth root of 81365 to the nearest integer?
7
What is the third root of 26504 to the nearest integer?
30
What is the ninth root of 6419 to the nearest integer?
3
What is the cube root of 10807 to the nearest integer?
22
What is 12252 to the power of 1/2, to the nearest integer?
111
What is the square root of 120776 to the nearest integer?
348
What is the ninth root of 10256 to the nearest integer?
3
What is 43849 to the power of 1/2, to the nearest integer?
209
What is the fifth root of 4642 to the nearest integer?
5
What is the third root of 35832 to the nearest integer?
33
What is the third root of 53690 to the nearest integer?
38
What is the square root of 5157 to the nearest integer?
72
What is the square root of 5930 to the nearest integer?
77
What is 77701 to the power of 1/2, to the nearest integer?
279
What is the third root of 4434 to the nearest integer?
16
What is the fourth root of 45900 to the nearest integer?
15
What is 4974 to the power of 1/3, to the nearest integer?
17
What is the square root of 375 to the nearest integer?
19
What is the tenth root of 4694 to the nearest integer?
2
What is 3183 to the power of 1/2, to the nearest integer?
56
What is 56681 to the power of 1/3, to the nearest integer?
38
What is 7588 to the power of 1/2, to the nearest integer?
87
What is the square root of 20200 to the nearest integer?
142
What is 860 to the power of 1/2, to the nearest integer?
29
What is the eighth root of 77803 to the nearest integer?
4
What is the third root of 1287 to the nearest integer?
11
What is the ninth root of 8084 to the nearest integer?
3
What is the third root of 2776 to the nearest integer?
14
What is 6296 to the power of 1/3, to the nearest integer?
18
What is the cube root of 1652 to the nearest integer?
12
What is the cube root of 76560 to the nearest integer?
42
What is 56125 to the power of 1/3, to the nearest integer?
38
What is the third root of 2309 to the nearest integer?
13
What is the cube root of 672 to the nearest integer?
9
What is the sixth root of 2806 to the nearest integer?
4
What is 27224 to the power of 1/2, to the nearest integer?
165
What is 78 to the power of 1/6, to the nearest integer?
2
What is 2789 to the power of 1/5, to the nearest integer?
5
What is the square root of 67178 to the nearest integer?
259
What is the cube root of 4183 to the nearest integer?
16
What is the fifth root of 5134 to the nearest integer?
6
What is the square root of 4453 to the nearest integer?
67
What is the eighth root of 31325 to the nearest integer?
4
What is the cube root of 8285 to the nearest integer?
20
What is the eighth root of 1889 to the nearest integer?
3
What is the seventh root of 8211 to the nearest integer?
4
What is 7035 to the power of 1/3, to the nearest integer?
19
What is the fourth root of 6667 to the nearest integer?
9
What is the tenth root of 2500 to the nearest integer?
2
What | {
"pile_set_name": "DM Mathematics"
} |
t q = -0.1 - -0.04. Let h = d + q. What is the second biggest value in 1/3, h, -0.4?
h
Let k be (1/(-3))/(10*9/135). Which is the second smallest value? (a) -1 (b) k (c) 1/3
b
Let m = -1288982/15 - -86167. Let j = 235 - m. Which is the second smallest value? (a) 7 (b) -0.2 (c) j
c
Let u = -0.0186 - -0.2186. Which is the biggest value? (a) u (b) 10 (c) 0.5 (d) -0.8
b
Suppose 6*x + 3 = 27. Let m be 5 - x - (1 - -4). What is the fourth biggest value in 4, m, 2/3, -1?
m
Let w = -504 - -506. Let j(o) = o**2 - 7*o + 7. Let k be j(6). Let g = 1.3 - 2. Which is the third biggest value? (a) w (b) g (c) k
b
Let q = 14.77 - 15.17. Which is the second biggest value? (a) -3 (b) 0.4 (c) -2/2259 (d) q
c
Let y = 107 - 305. Let q = y + 206.9. Let g = q - 9. Which is the third biggest value? (a) 1 (b) 3 (c) g
c
Let m = -18 - -13. Let p be (-3 + -2 - -4)*5. Let o be (1 + 6/(-3))*p. Which is the third biggest value? (a) m (b) o (c) 0.1
a
Let d = -13954/5 - -2800. Let o be (-1)/8 - 1134/120. Let m = o + d. Which is the second smallest value? (a) m (b) -2/11 (c) 2
b
Let w = -433.15 + 433. Let v = -17 - -12. Which is the third smallest value? (a) v (b) -1/2 (c) w
c
Let y be (-8)/7*(-77)/198. What is the second biggest value in y, 17, 4/7?
4/7
Let f = 494 - 487. What is the second biggest value in -1, 5/6, f, 2/11?
5/6
Let r be (-15)/40 - 6535/(-40). What is the second biggest value in r, 3, 5?
5
Let h = -0.263 + 0.203. What is the second smallest value in 5, 0.2, h?
0.2
Let g = 48.1 + -46.1. Let p = 0.39 - -0.01. What is the third smallest value in -5, p, g?
g
Let j = 0.04 + -4.94. Let r = j + -6.1. Which is the second smallest value? (a) -3 (b) r (c) -4
c
Let g be (-10)/36 + 4/8. Let y be 45/(-100) + 1/4. Which is the third smallest value? (a) g (b) -4/7 (c) y
a
Suppose 1222*x + 12 = 1218*x. Which is the fourth smallest value? (a) -12.2 (b) x (c) -0.1 (d) -4
c
Suppose 4 = -x + 6. Suppose -r - 7 = 3*r - h, x*r = -3*h - 21. Which is the smallest value? (a) -4 (b) r (c) -2/9
a
Let p = 0.6 - 0.57. Let y = p - 0.53. Suppose 0 = 2*n - 0*n. What is the third biggest value in y, 0.5, n?
y
Let h be (-18)/10 + 2 - 1. Let q = -0.09 - -9.09. Which is the second biggest value? (a) 0 (b) q (c) h
a
Let t = -925.7 + 926. Let i = 11 + -12. What is the biggest value in 0, i, 4, t?
4
Suppose 40 = -8*h + 18*h. Let j be 4/(-12)*(2 - 1). What is the third smallest value in h, j, -1/8?
h
Let o = 101.3 + -7.3. What is the smallest value in o, 0.4, -4?
-4
Suppose 3 = 2*s - r - 3, -3*s - r = -9. Suppose -13 - s = 8*g. Which is the second biggest value? (a) 3/4 (b) 4 (c) g
a
Let q = 221.2 - 222. Let w = 13 + -14.2. Let p = q + w. What is the smallest value in -0.1, p, 1/2?
p
Let g = 19067/92017 + -1/3173. Let x = g + -88/145. Suppose 123*w - 4 = 121*w. What is the biggest value in 5, x, w?
5
Let o be ((-2)/(-8))/(4 + -3). Which is the second smallest value? (a) 0 (b) o (c) 5 (d) -2/7
a
Suppose 0 = -4*o, 0 = -2*a + 4*o - 0*o. Suppose 4*n + 12 = -a*n. What is the second biggest value in n, 3, -4?
n
Let q = 3.1 + -34.1. Let w = q + 33. Which is the third smallest value? (a) 5 (b) 0 (c) w
a
Suppose -3*k - 9 - 6 = 0. Let o = 0 - k. Let d = 21 + -17. What is the third smallest value in -0.3, o, d?
o
Let l be 1/5 + 1 + 0. Let g = -4.4 + 4. Let r = 7 + -31/4. Which is the smallest value? (a) r (b) g (c) l
a
Let u = -1/94 - 179/846. Let a = -50.1 - -50. What is the second smallest value in a, u, 0.5?
a
Suppose -8*a - 3 = -11*a. What is the third biggest value in 0.2, -1/2, a?
-1/2
Let o = 16432/5 - 3201. Let u = -85 + o. What is the third smallest value in 3, u, -5?
3
Suppose 8*c - 7 = 1. Let x be (-2)/((-3)/((2 - 3)/c)). What is the third smallest value in x, -0.08, -0.1?
-0.08
Let k = 455 - 450. What is the second biggest value in k, -9/7, -2?
-9/7
Let s be ((-1941)/(-396))/((-6)/(-16)). Let h = s + -116/9. Let p be (-12)/(-2)*(-26)/546. Which is the biggest value? (a) p (b) h (c) -3/2
b
Let f = 1.9 - 2.1. Let r = -218 - -1532/7. Which is the fourth smallest value? (a) f (b) r (c) 4 (d) -0.1
c
Let g = -6 - -1. Let x = -0.01 - -0.01. Let v = -2 + x. What is the third smallest value in v, g, -0.2?
-0.2
Let q = 329/4 + -80. What is the smallest value in -2/15, 2/5, q, 1?
-2/15
Let r be (1/((-15)/2))/(5/30). Which is the second smallest value? (a) -0.13 (b) -1 (c) r
c
Let r = 46 - 48. Let v = r + -1. What is the second smallest value in -0.5, -4, -0.2, v?
v
Let m = 0.85 - 1.25. Let t be (-18)/70 + (-2)/(-5). Let n = -55 - -167/3. Which is the smallest value? (a) t (b) m (c) n
b
Let d = 96.974 + -97. Let w = d - -0.426. Which is the biggest value? (a) 4/5 (b) -2 (c) w
a
Let x(k) = k**2 + 15*k - 4. Let q be x(-15). What is the third smallest value in q, -2, 0.5?
0.5
Let k = -26.262 - -5.262. Let d = 0.4 - 0.7. What is the second biggest value in k, 0.5, d?
d
Let y = 1.734 + 5.266. Which is the biggest value? (a) 1/3 (b) -0.09 (c) y
c
Let o = 3.5 - 3. Suppose -5*j = -4*n - 11, n + 2 = j + j. Let d(s) = s + 2. Let m be d(n). Which is the biggest value? (a) m (b) o (c) -4
b
Let x = -70 - -67. Let z be (-2 - 0)/((-4)/2). Let l be (z/(-7))/((-1)/x). Which is the smallest value? (a) 5 (b) 2 (c) l
c
Let a = 994/45 + -206/9. What is the second smallest value in 0.2, 1/9, a, 2/35?
2/35
Let y be (9/24)/(-3) - (-25)/40. Which is the smallest value? (a) -1/4 (b) -2 (c) y (d) 2
b
Let x be 28/504*-42*(-4)/(-42). Let z(q) = q + 3 + 3 - 3. Let u be z(-4). Which is the biggest value? (a) 1 (b) x (c) u
a
Let q = 122 + -117. Which is the third biggest value? (a) q (b) -3 (c) 3 (d) 3/10
d
Suppose 5*n - 2*o - 17 = o, -n - 4*o - 15 = 0. Let k = 97/4 + -24. What is the fourth smallest value in k, 3/7, -3, n?
n
Let z(k) = 14*k**3 - 2*k**2 - k. Let g be z(2). Let u be 3*g/81 - 4. Which is the smallest value? (a) u (b) 0 (c) -1
c
Let v = 34/3 - 12. Let g = -2.484 - -4.484. Which is the biggest value? (a) 4 (b) g (c) v (d) 0
a
Let z = 2/41 + 197/164. Let d = -31/28 + z. Let w = -7 + 28. What is the third smallest value in w, 1, d?
w
Let t = 109 + -64. Let r = 44.8 - t. Which is the second smallest value? (a) r (b) 1/2 (c) 0.17 (d) 0.1
d
Let s = 393 + -393.016. What is the second biggest value in -2, 4, s?
s
Let t = 0.32 - -0.08. Let d = -0.9 + t. Let l = 8/13 - 59/117. What is the biggest value in d, -0.2, l?
l
Let a be ((-6)/12)/((-1)/6). Suppose 0 = j - 4*j + a. Let u = 2.2 - 2.7. What is the smallest value in 0.3, j, u?
u
Let d = -47/476 + -18/119. What is the smallest value in 2/23, d, 4, -0.5?
-0.5
Let f = 11.2 - 9.6. Which is the biggest value? (a) -2 (b) f (c) 2/5
b
Let d = -3.93 + 3.63. Which is the second biggest value? (a) 17 (b) d (c) 0.05
c
Let s be 27/(-600) - 10/125. Let g be (9/(-12))/((-5)/(-4)). Let l = -1.89 - -2. Which is the second biggest value? (a) l (b) s (c) g
b
Let i(u) = -u**3 + 3*u. Let g be i(-2). Let v be (3 + -2)*-3 + (1 - g). Which is the smallest value? (a) 2/9 (b) -12 (c) v
b
Let x = -68.5 - -52. Let t = -16 - x. Which is the third biggest value? (a) t (b) 1/3 (c) 6
b
Suppose 6*t - 2*t + 3*j - 139 = 0, -5*t = 2*j - 172. Let d be t/72 + (44/(-16))/11. What is the third smallest value in d, 0.2, -5, -0.1?
0.2
Let f = 0.334 + -0.134. What is the fourth biggest value in 0.5, f, -1, -0.15?
-1
Let j = 9.2 - 8.7. What is the second smallest value in 1, j, -0.04?
j
Let w = -1.1 - 2.9. Let o = 0.1 + 0. Let f = 186.7 - 187. Which is the second smallest value? (a) f (b) o (c) w
a
Let u be -1 - ((-3)/2)/3. Let j = -42 - -12. Let q be 2 - (-4 + (-156)/j). What is the second smallest value in -2, u, q?
u
Let t = -33 + 4. Let o = -28.5 - t. What is the second biggest value in o, -8, 3, 0.2?
o
Let a(f) = 13*f**2 + 5*f + 7. Let q be a(3). Let d = q - 135. Let o = -20 + 115/6. What is the third smallest value in d, o, -0.2?
d
Let d = -24 - -54. Let y = -59/2 + d. Let x = -147.7 - -148. Which is the third smallest value? (a) -4 (b) x (c) y
c
Let p = 1.9 - 18.9. Which is the second smallest value? (a) p (b) 5 (c) -0.05
c
Let z = -0.1 - -0.2. Let n = 317/21 + -15. Which is the biggest value? (a) 2/9 (b) n (c) z
a
Suppose -50*k + 10 = -55*k. Which is the second biggest value? (a) -7 | {
"pile_set_name": "DM Mathematics"
} |
+ 68 + 621 = w. Let c = 546 + v. Is c a prime number?
False
Let d be 4/(-18)*9/(-1). Is (d/(-4))/(21/(-20118)) a prime number?
True
Let z(x) = 6*x**3 + 277*x + 27. Is z(14) prime?
True
Suppose 2*k - k + 2 = 0. Let f be 4*(k - (-22)/8). Suppose -i + 10 - f = 0. Is i a prime number?
True
Let f be ((-26988)/(-10))/((-5)/(-25)). Suppose -22*w - f = -28*w. Is w a composite number?
True
Let d(r) = -65*r**2 - r - 3. Let t be d(-3). Let g = t + 1846. Is g composite?
True
Let c = 17 + -24. Let s(o) = -80*o - 3. Is s(c) prime?
True
Suppose -f + 48874 = 2*i, -3*i - 8*f + 7*f + 73311 = 0. Is i a prime number?
False
Suppose -2*z + 48251 = 3*c - 0*z, -5*z = 3*c - 48245. Is c composite?
True
Let q(t) = 2*t - 10. Let k be q(6). Suppose 0 = f + 3*i - 413, -k*i + 1676 = 4*f + 2*i. Is f a prime number?
False
Suppose -15*q + 4 = -26. Suppose -3*m + 3207 = q*s, 0 = -3*m - 2*s - 3*s + 3216. Is m composite?
True
Suppose 21*k - 16*k = 3*g - 37343, -g + 3*k = -12445. Is g a composite number?
False
Suppose -2*y + 166 = 3*r, -2*r = -8*y + 9*y - 82. Is y a composite number?
True
Suppose 307680 = 35*i - 2143685. Is i a prime number?
True
Let h(a) = a**3 - 5*a**2 - 32*a + 7. Suppose -2*m = -5*x - 54 + 9, 3*x = 4*m - 69. Is h(m) composite?
False
Suppose 3*b + 0 = 6. Let u be b/2 + (-82 - 1). Let y = u - -117. Is y a composite number?
True
Suppose -2*i - 20 = 3*i. Let h be ((-33)/12 - -2)*i. Suppose -h*z - 4 = 8, 5*c - 3*z = 1307. Is c prime?
False
Suppose 3*o = 4*w - 0*o - 25, o + 6 = w. Suppose -w = -2*a - t, 0*t - 4*t = a. Suppose b - 104 = -f - a*f, 5*b + f - 640 = 0. Is b a composite number?
True
Is (-7)/((-35)/(-10))*38275/(-10) composite?
True
Let f = 4 - -1. Suppose -f*j + 786 = -3*j - 4*g, 0 = 3*j + 5*g - 1190. Suppose 2*k - 425 = s - 2*s, -s + 4*k = -j. Is s a composite number?
True
Suppose j + 4 = 6. Suppose 0 = -j*z + 233 - 67. Is z prime?
True
Let s = 2443 - 1568. Suppose -4 = -2*d - 0*d. Suppose -s + 261 = -d*c. Is c a prime number?
True
Suppose -12*i + 3*l + 3949 = -10*i, 5*i - 3*l - 9868 = 0. Is i a composite number?
False
Let p(m) = 49*m**2 - 77*m - 19. Is p(30) prime?
True
Let v(u) = -410*u + 4. Let l be v(-8). Let t = -2067 + l. Is t prime?
True
Is (3/3)/((-14)/(-1274)) prime?
False
Suppose 4*w - 28 = -2*q, -2*q + w = -6*q + 49. Is 5766/q + 2/4 composite?
True
Let a = 53 - 89. Let j be (-138)/(-4) + 3/6. Let c = j - a. Is c a prime number?
True
Suppose d - 147152 = -15*d. Is d a composite number?
True
Let k(d) = 54*d - 3. Suppose 5 = y + 2. Let z(s) = 27*s - 1. Let v(o) = y*k(o) - 5*z(o). Is v(3) a composite number?
True
Let s be 5 + (-1 - 2) - -3. Suppose -s*z - 68 = -768. Is 1/((-416)/z - -3) a composite number?
True
Suppose l + 2*f = 4*l + 2, 4*l = f - 11. Let u(d) be the third derivative of -13*d**4/8 + d**3/6 + 9*d**2. Is u(l) a prime number?
True
Let z = 3 + -2. Suppose -4*a - 4*h - 564 = 0, 0 = -3*a - 2*a - 3*h - 699. Is (a/(-10))/(z/5) a composite number?
True
Let m be (4 + 690)*4/8. Let q = -244 + m. Is q a composite number?
False
Let z(k) = 570*k + 37. Is z(6) composite?
False
Suppose -28*t + 31*t = -9, 4*t = -3*d + 77565. Is d prime?
False
Let l = 22 + -22. Suppose l*q = -5*q + 1265. Is q composite?
True
Suppose -33767 = -16*g - 2935. Is g composite?
True
Let m(a) = 46*a**3 + 1 + 0*a**2 - 1350*a**3 - a**2. Let o be m(-1). Suppose -335 = 3*r - 4*r - p, 5*p = 4*r - o. Is r prime?
True
Let d be ((-2)/3)/((-2)/5739). Suppose -i + d = -0*i. Suppose -3*x + 2*g = -1261, 3*x - g - i = -657. Is x prime?
False
Is (79 - 0)*-23*(0 + -1) composite?
True
Let g(f) = -2*f + 14. Let r be g(6). Let n(x) = 8 + r*x + 2*x - 2*x + 7. Is n(0) prime?
False
Suppose o + o = -120. Let b be -6*((-25)/10 + 2). Is 0 + 1 - o/b a composite number?
True
Is (-66412)/2*((-12)/8)/3 a prime number?
True
Suppose 11 = -m + 4. Is 2/m - (-7965)/21 prime?
True
Suppose 2*x + 2*c = 5*x + 14, 0 = 5*x + c + 32. Is (124/x)/(20/(-3) - -6) a prime number?
True
Let j(d) = -4*d - 20. Let l(u) = -2*u - 10. Let g(v) = -3*j(v) + 5*l(v). Is g(6) a prime number?
False
Suppose -4*n = -3*o - 142, -2*o = -n + 3*n - 64. Suppose -3*u - 2*t = -19, 5*u = -3*t - 4 + n. Suppose -6*y = -u*y - 471. Is y composite?
False
Is 0 - -18252 - (-1 - -6) a prime number?
False
Suppose 4*n = 7*n - 1575. Let s = n + 655. Suppose 10*j = 6*j + s. Is j composite?
True
Let w(a) = 61*a + 7. Let x(k) = 61*k + 7. Let t(l) = 6*w(l) - 5*x(l). Is t(6) a composite number?
False
Let g(w) = 10*w**2 - 2*w - 5. Let t(s) be the second derivative of -s**4/12 - 3*s**3/2 - 6*s**2 + 4*s. Let o be t(-8). Is g(o) a composite number?
False
Let c = 3 - -87. Let j = c + 163. Is j a prime number?
False
Suppose 4*o - 20 = 0, 34*o = -2*c + 35*o + 358937. Is c prime?
True
Suppose -q = -3*q + 10. Suppose 83 = q*i - 0*i - w, 3*w + 11 = i. Suppose i - 44 = -y + 5*o, 0 = -5*y - 2*o + 189. Is y a prime number?
True
Suppose 11694 = 2*d + 5*t, -4*d + 3*t = 8*t - 23408. Is d composite?
False
Let w be (0*(-2)/(-8))/(-1). Suppose w*v = 2*y - v - 977, v - 484 = -y. Is y composite?
False
Let t(y) = 11*y**3 + 5*y**2 - 2*y - 5. Is t(3) a composite number?
False
Suppose -2*n + 3*s + 11672 = 5*s, -3*n = -5*s - 17532. Is n a composite number?
False
Let m(w) = 18*w**3 + 16*w**2 - 43*w + 6. Is m(7) a composite number?
True
Let q be 1157 + 9/2*(-6)/9. Suppose q = 3*v + 17. Is v a composite number?
False
Suppose 3*p + 3 + 48 = 3*v, -3*v + p + 57 = 0. Suppose -2*z + 2334 = -v. Is z composite?
True
Let v(a) = -185*a + 16. Is v(-3) composite?
False
Let g = -17 + 19. Suppose -2*w - 6 = -4*y, -y + 5*w = g*y + 13. Is 1 + 4*66/y a prime number?
True
Let m be 1 + 3*(-4)/(-12). Let g = 202 + -111. Suppose -p = -m*p + g. Is p a composite number?
True
Let w(c) = -50*c. Let k be w(-6). Suppose -313 = 4*x - u, -2*x + 2*u = 6*u + 134. Let s = x + k. Is s a prime number?
True
Suppose 3*v + 3*u = 218 - 1172, -3*v = 2*u + 952. Let g be 3*v/(-12) + 1. Suppose -g = -2*z + 854. Is z a composite number?
False
Suppose -3*o + 143138 = 2*a, -5*o = 2*a - 167548 + 24410. Is a a prime number?
True
Let t(c) = 4*c - 7*c**2 - c**3 + 1 - 1 + 3*c**2. Let f be (1/3)/(2/(-42)). Is t(f) a prime number?
False
Let h(p) = -p**2 + 7*p + 10. Let g be h(8). Suppose g*x - 9 = -5. Suppose -x*q + 802 = j, 0 = -q + 3*j - 8*j + 383. Is q a prime number?
False
Let c(d) = -d**3 + 25*d**2 - 27*d - 28. Let b be c(22). Suppose 22*h = 20*h + b. Is h a prime number?
False
Suppose -38821 = -1841*x + 1840*x. Is x a prime number?
True
Let o = 33 + 896. Is o composite?
False
Let a(c) = 17*c**2 - 5*c + 7. Is a(4) composite?
True
Let y be 3940 + (4/(-6))/(10/15). Is (-18)/(-45) + y/15 prime?
True
Let f(h) = 342*h**2 - 21*h - 4. Is f(-3) a composite number?
False
Suppose 27185 = -2*r + 3*r. Is r composite?
True
Is -1 - (96/144 - 92684/3) a prime number?
True
Let z = -20935 + 149838. Is z a composite number?
False
Let m be 0 + (-5)/10*4. Let y be m/(-12) + 50804/24. Suppose -4*c + 2647 = -y. Is c composite?
True
Let q(d) = d**3 + 18*d**2 + 24*d + 21. Let k be q(-16). Suppose -5*m = -z + 342, -2*m - k = -z + 196. Is z composite?
False
Let f(m) = 19*m**3 + 4 - 4*m**2 - 13*m**3 - 3*m - 7*m**3. Let r be f(-3). Suppose -r*v - 1633 = -5*s, 4*v - 1651 = -5*s + 2*v. Is s composite?
True
Let l(q) = 51*q + 91. Is l(17) a prime number?
False
Let c = 21 + -24. Is (-307)/c - (-42)/63 prime?
True
Suppose n - 6*n = -180. Suppose -2*k = -v - 4*k, -k = 5*v - n. Let z(f) = 3*f**2 - 8*f - 1. Is z(v) composite?
False
Suppose 19*s + 473988 = 31*s. Is s a composite number?
False
Suppose 0 = 5*w - 5*x + x, -4*w = 4*x - 36. Suppose 510 = c + 4*k, -2*k + 2110 - 570 = 3*c. Suppose 0*u = 4*u - i - 529, -c = -w*u - 2*i. Is u composite?
False
Let j be (-2)/2 + 9585/15. Suppose -j = -2*n - 0*n. Is n composite?
True
Suppose -4*w = -6*c + 2*c - 268, -2*c = 5*w - 307. Suppose -q - w = -2*q. Suppose -2*p = -5*g - 238, -2*p + q + 139 = 4*g. Is p a prime number?
True
Suppose v + 4 = 4*g - v, 3*g = -2*v - 4. Suppose 5*k - 4*k - 339 = g. Is k a prime number?
False
Let j(z) = -z**2 + 3*z + 8. Let l be j(4). Let v(d) = d**2 - 7*d - 2. Let w be v(6). Is 266 + l/(w/6) a composite number?
False
Let c be 5*1 + 3/(-9)*3. Suppose c*t - 3451 = 6425. Is t composite?
True
Suppose 18 = 5*x - 2*j, x - j = 2*x + 2. Let d be 2 - (x - (2 - 0)). Suppose -5*r - 2*p = d*p - 387, -4* | {
"pile_set_name": "DM Mathematics"
} |
er when z is divided by l.
14
Let p = -22264 - -24976. Calculate the remainder when p is divided by 28.
24
Let v(q) = 5*q**2 - 23*q - 20. What is the remainder when (2/2)/(3/351) is divided by v(-1)?
5
Suppose 0 = 3*a + 5*d - 146, 0*a - 4*a + 5*d = -183. Suppose b + 5*v - a = 0, 3*b - 7*v + 8*v = 71. Calculate the remainder when b is divided by 6.
4
Suppose 5*w + 61 = -4*v, 3*w - 8 + 31 = v. Let a(q) = q**2 - 30*q + 42. Let x be a(28). Let d = w - x. Calculate the remainder when 17 is divided by d.
2
What is the remainder when 636 is divided by 1/(18/126) + (17 - (2 - 1))?
15
Let r(v) = -2*v - 7. Let j = -20 + 16. Let y = j - 7. Calculate the remainder when 73 is divided by r(y).
13
Suppose 0 = 6*s - 0 - 30. Suppose -v - 7 = -4, v = -s*n + 27. Calculate the remainder when 6 is divided by n.
0
Let m(l) be the second derivative of -26*l**3/3 - 23*l**2 + 14*l. Calculate the remainder when m(-9) is divided by 47.
46
Let o = -21671 + 21935. Calculate the remainder when 17420 is divided by o.
260
Let a(q) = 158*q - 18. Let o(c) = -3*c - 1. Let t(n) = -a(n) - 12*o(n). Calculate the remainder when t(-6) is divided by 17.
14
Let l = -358 + 363. Suppose z - 3*w = 89 + 8, 5*z - l*w = 475. What is the remainder when z is divided by 4/14 - (-1328)/56?
22
Let l = -260 - -263. Calculate the remainder when (-6)/(l - (-5 - (-387)/48)) is divided by 11.
8
Suppose r = -h + 33, 0 = -7*h + 4*h + 2*r + 74. Suppose -22*y - 78 = -h*y. Calculate the remainder when 114 is divided by y.
10
Let r(m) = m**3 + 36*m**2 - 81*m - 99. Let k be (-12)/(-14) + (-1904)/49. Calculate the remainder when r(k) is divided by 56.
35
Let r(n) = 2*n**2 + 38*n - 95. Let x be r(-20). Suppose -j - 2 + 10 = 0. Calculate the remainder when 0 - x - 3 - (1 + 5) is divided by j.
6
Let p be ((-3)/(-6))/((-2)/12). Suppose 82 = 5*w - 198. What is the remainder when -2 + 6 + (p - 321)/(-2) is divided by w?
54
Suppose 0 = -m - 6*m. Suppose 4*z + 12 = 4*c, m = c + z + 3 - 0. Suppose -g = -c*g, h = -g + 71. Calculate the remainder when h is divided by 18.
17
Let r = -7553 - -7604. Calculate the remainder when 485 is divided by r.
26
Let o(u) = -38*u**3 + u**2 + u + 1. Let v = 8 - 21. Calculate the remainder when o(-1) is divided by 2 - (v - (0 + 0)).
9
Let g(u) = -u**2 - 56*u + 2311. Let j = -21 - -55. Let k = 11 + j. What is the remainder when g(26) is divided by k?
44
Suppose 0 = -6*t + 3*x + 165, t - 3*x - 5 = 2*x. Calculate the remainder when t is divided by 12.
6
Let q = 37384 + -37314. What is the remainder when 376 is divided by q?
26
Let l(m) = 49*m**2 - 4*m - 3. Let k be l(-2). Let c be 4 - (-2 + 3 + k). Let r = c - -291. Calculate the remainder when r is divided by 16.
13
Let p(r) = 3*r**3 + r**2 - r - 1. Let o(b) = -14*b**3 + 7*b**2 + 25*b - 8. Let k(t) = -o(t) - 5*p(t). What is the remainder when 62 is divided by k(-10)?
10
What is the remainder when (0 + 2 + -88)/((-74)/1332) is divided by 396?
360
Suppose -5*q + 481 = 2*n, 6*q - 2*q = 5*n + 365. Suppose q = 2*z + 5*j, 137 = 3*z + 9*j - 7*j. Calculate the remainder when z is divided by 13.
6
Suppose 1140 = 21*s - 27*s. Let d = 243 + s. Calculate the remainder when 103 is divided by d.
50
Suppose 118 - 602 = 4*l. Let v = -30 + l. Let k = v - -158. What is the remainder when 9 is divided by k?
2
Calculate the remainder when 2/5*(2 - -4458) is divided by 593.
5
Suppose 0 = 3*x + 3*x + 72. Calculate the remainder when 263 is divided by (-28)/x*(3 - -36).
81
Let k be 3/2 - 3/(-2). Suppose 0 = k*h + 2 - 149. What is the remainder when h is divided by 360/21 - (-1)/(-7)?
15
Suppose 17*f - 17 = 0, -6*j - 1240 = -9*j + 2*f. Calculate the remainder when j is divided by 15.
9
Suppose -2*d - d = -141. Calculate the remainder when d is divided by -3 + 8 + 20 + 4.
18
Suppose 0 = -w + 4*p + 153, 642 = 3*w + w - p. Let f = -15426 + 15467. What is the remainder when w is divided by f?
38
What is the remainder when 1901 is divided by ((-14)/(-8) + -1)/(21/112)?
1
Let k(l) = -l**3 + l**2 + 2*l - 18. Let m be k(-6). Let u = m - 205. What is the remainder when 63 is divided by u?
12
Suppose 0 = 4*s - 3*b + 402, -4*s = -0*s - 4*b + 404. Let f be (0 - 14/(-6)) + (-66)/s. Let u(o) = o + 12. Calculate the remainder when u(f) is divided by 8.
7
Suppose -44 - 635 = -7*c. Suppose 111 = 3*j + 96. What is the remainder when c is divided by j?
2
Let w(n) be the third derivative of 0 + 0*n**4 + 0*n + 11/40*n**6 + 1/60*n**5 - n**2 - 1/6*n**3. Calculate the remainder when w(1) is divided by 18.
15
Suppose -7 = -b + 3*b - m, 0 = -5*b - 2*m + 5. Let j be (-26)/b + (-1 - -2) + 0. Suppose -43 = -5*p + j. What is the remainder when p is divided by 6?
2
Let y = 11906 - 11727. Calculate the remainder when 17540 is divided by y.
177
Let f = -30384 + 31241. What is the remainder when f is divided by 123?
119
Let u = -213 - -218. Suppose -4*r + 9*r + 90 = 5*m, u*m = 3*r + 80. Calculate the remainder when m is divided by 9.
4
Let r = -33 - -110. Suppose -z - 5*n + 262 = 0, 4*z - 1111 = 3*n - 2*n. Let s = z + -264. What is the remainder when r is divided by s?
12
Suppose -22*u - 30*u = -86164. Calculate the remainder when u is divided by 56.
33
Let g be -6 + 3 + 1 + 41. Let j be 74/26 + 4 + (-150)/g. What is the remainder when 62 is divided by ((-17)/j)/(2/(-6))?
11
Suppose -201*f + 1512 = -180*f. Calculate the remainder when f is divided by 40.
32
Let o(f) = f**2 - 7*f - 23. Let b be o(10). Let c be (b*15/10)/((-2)/(-4)). Suppose -w = 2*w - c. Calculate the remainder when 27 is divided by w.
6
Suppose 3 = 3*l, 30*f + 4*l - 392 = 26*f. Suppose y - 18 = 21. What is the remainder when f is divided by y?
19
Suppose -139*c + 144*c - 45 = 0. Suppose -39*l = -c*l - 5430. Calculate the remainder when l is divided by 11.
5
Suppose 2*j - 159 = -3*v, -22*v - 195 = -25*v + 4*j. Calculate the remainder when v is divided by 2 - (3/(-3) + -13).
9
Let p be 4 + -7 - (4/(-2) + -3). Suppose -p*j = -405 + 71. What is the remainder when j is divided by 43?
38
Let n = 2253 + -2238. Calculate the remainder when 919 is divided by n.
4
Let j(u) = u**2 + 115*u + 1339. Calculate the remainder when 767 is divided by j(-13).
0
Let j(w) = 21*w + 129. Let z be j(-6). Let s(p) = 3*p**2 - 7 - p**2 - 3*p + 4*p. What is the remainder when 54 is divided by s(z)?
12
Let x(b) = -b**3 + 7*b**2 + b + 46. What is the remainder when 3695 is divided by x(6)?
87
Let r(y) = -11*y - 6. Let q be r(-1). Suppose -11*z = q*z - 1008. What is the remainder when z is divided by 20?
3
Let m(r) be the first derivative of -r**4/4 + 4*r**3 - 11*r**2 - 4*r + 310. Suppose -3*j = -2*j - 9. What is the remainder when 245 is divided by m(j)?
40
Suppose -5*k + 4*q = -1046, -97*k + 94*k = -5*q - 625. Calculate the remainder when 445 is divided by k.
25
Let u = 18676 - 18573. Calculate the remainder when u is divided by 33.
4
Let k = 37 + -29. Suppose -p + 93 = -5*n - 27, 3*n = 3. What is the remainder when p is divided by k?
5
Let a(l) = -l**3 + 86*l**2 - 380*l - 1189. What is the remainder when a(80) is divided by 9?
7
Let i = 66 - -9. Let w = -2731 + 2877. What is the remainder when w is divided by i?
71
Suppose 32*g - 98*g = -1122. Calculate the remainder when 1440 is divided by g.
12
Suppose -3*d = -8*d - 10. Let z be d/3 + (-266)/6. Let t = -7 - z. What is the remainder when 110 is divided by t?
34
Let s = 1598 - 1554. What is the remainder when 1245 is divided by s?
13
Suppose -2*o = l + 2, 3*o - 3*l + 3 = -5*l. What is the remainder when 40 is divided by o*16*(-3 - -8)/(-5)?
8
Suppose 12*u = 474 + 438. Suppose -2*s = 2*n - u, -3*n + 164 = 4*s - 2*n. Calculate the remainder when 251 is divided by s.
41
Suppose -4*h + 3*u + 93 = -209, -366 = -5*h - 2*u. Let q = h + 71. Let m = q + -86. What is the remainder when m is divided by 31?
28
Suppose q - 6*y - 17 = -2*y, -2*q - 2*y + 4 = 0. Suppose b + q*s = 126, 3*s + 39 = -2*b + 305. What is the remainder when b is divided by 36?
28
Suppose 2*r = -2*i - 13 + 257, 3*r - 366 = -2*i. Let p be (-14)/14*0/2. Suppose -11*m + r - 1 = p. What is the remainder when 21 is divided by m?
10
Let z = -266 - -319. Calculate the remainder when z is divided by 6/(-2) - (-4)/(-8)*-14.
1
Suppose -14*u + 38*u = 264. Suppose 5*v - 2*k = 1190, 6*v = u*v + 3*k - 1215. Calculate the remainder when v is divided by 50. | {
"pile_set_name": "DM Mathematics"
} |
-74*a - 28. What is the units digit of d(b)?
8
Suppose 5*x - 430 = 280. What is the hundreds digit of (x/(-4))/(18/(-72))?
1
Suppose 3*b - 5*r - 22847 = 0, 3*b - 3*r - 24787 = -1930. What is the hundreds digit of b?
6
Let s be 1/4 - 124/(-16). Suppose -d - d - 3*l = -6, -s = -4*l. Let q(i) = -3*i + 32. What is the units digit of q(d)?
2
Let s(r) = 2426*r**2 + 16*r + 73. What is the tens digit of s(-4)?
2
Let n(d) = 333*d**2 - 220*d + 32. What is the ten thousands digit of n(-8)?
2
Suppose 55788 = 3*g - 3*n, 15*n = 5*g + 20*n - 92970. What is the tens digit of g?
9
Suppose 4*a = 2*a + 156. Let c = -2997 - -2956. Let h = a + c. What is the units digit of h?
7
What is the units digit of (2352/(-24))/(1*(-2)/986) + -5?
9
Suppose -2*n + 1405*z - 1408*z + 53562 = 0, 2*z - 4 = 0. What is the thousands digit of n?
6
Let k(r) = -139*r**2 + r + 20085. What is the thousands digit of k(0)?
0
Suppose 23*o - 167768 = -12*o - 43308. What is the thousands digit of o?
3
Let t(p) = 48*p - 66. Let c(n) = 144*n - 196. Let r(w) = 3*c(w) - 8*t(w). What is the hundreds digit of r(7)?
2
Let k = 84 + -142. Let p = 58 + k. Suppose p = v + 62 - 268. What is the units digit of v?
6
Let o(s) = 6*s**3 + 3*s**2 - 2*s + 2. Let f be o(2). What is the tens digit of ((-1)/(-3)*8)/(f/3741)?
7
Suppose 632*x = 644*x - 6768. What is the hundreds digit of x?
5
Suppose w - 685 = 134. Suppose 0 = 6*g - w - 819. What is the tens digit of g?
7
Let q(u) = u**3 + 2*u**2 - u - 206. Let f be q(0). Suppose 0 = -307*a + 298*a - 18. What is the units digit of 3/((-418)/f + a)?
3
Suppose 9 = -3*s - 2*o + 21, 5*s - 5*o - 20 = 0. Let m be 8*(-1)/(-5)*(-20)/s. What is the units digit of (0 - -5)*(1 - m)?
5
Suppose -5*b = 19*b - 270408. What is the tens digit of b?
6
Let o = 36 - 36. Let a be (0 - -41)/(o + 4/4). Suppose 4*h + 4*l - 91 = 57, 0 = -h - 2*l + a. What is the units digit of h?
3
Suppose 4*t - 7*t = -3*y - 867, 543 = -2*y - 5*t. Let w = y - -546. What is the hundreds digit of w?
2
Let w be (-2)/((1/2)/(13 + -14)). What is the tens digit of 64 + ((3 - 3)*1)/w?
6
Let z(y) = y**3 + 4*y**2 + 7*y + 9. Let m be z(-2). Suppose m*q + 6*c - 3009 = 2*c, 3*q - 3024 = c. What is the tens digit of q?
0
Let s = -41 + 46. Suppose -20 = -s*j - 5. Let l(i) = 32*i + 5. What is the tens digit of l(j)?
0
Let p = -377 - 54. What is the hundreds digit of (73/(-73))/(1/p)?
4
Suppose 0 = 99*j + 3*j - 666060. What is the units digit of j?
0
Let m = 52 - 49. Suppose m*c - 50 = -1355. Let z = -215 - c. What is the hundreds digit of z?
2
Suppose -164*z + 165*z = 2*i + 16636, -5*z + 5*i + 83185 = 0. What is the units digit of z?
8
What is the units digit of 0 + -13 + 2041877*40/1240?
4
Suppose -9*p + 245080 + 364652 = 0. What is the units digit of p?
8
Let s(t) be the first derivative of -7*t**4/4 - 8*t**3/3 - 19*t**2/2 - 3*t + 36. What is the units digit of s(-5)?
7
Suppose 5 - 5 = -6*r. Let n(m) = -m**3 + m**2 + 3*m + 6. Let x be n(r). Suppose -x*u - 122 = -8*u. What is the tens digit of u?
6
Suppose 0 = -s - y + 26, -5*s - 14*y + 10*y + 129 = 0. Suppose 0 = 41*x - s*x - 4000. What is the hundreds digit of x?
2
What is the hundreds digit of 7 - (255038/(-7) - 3)?
4
Let b(k) = 15*k**2 + k - 20. Let j be b(-4). What is the tens digit of 3 + (165480/j - (-2)/(-18))?
6
Suppose 4*c = 2*c, -4*v - 468 = 4*c. Suppose 3*j = -4*a + 3*a - 9, 3*j = 3. What is the units digit of 52/a*v/3?
9
Let d(u) = u**3 - 8*u**2 - u + 16. Let q(c) = 8*c - 39. Let b be q(6). What is the tens digit of d(b)?
8
Suppose -8*o = -13*o + m + 84, -28 = -2*o - m. What is the units digit of (15 - o)*(-338)/(-4)*-2?
9
Suppose -3714*a = -3678*a - 84780. What is the thousands digit of a?
2
Let p(v) = 15*v**3 - 7*v**2 + 25*v - 22. Let h(i) = 8*i**3 - 3*i**2 + 12*i - 10. Let s(f) = -5*h(f) + 2*p(f). What is the tens digit of s(-3)?
1
Let k be ((-9)/6)/(21/(-112)). Suppose 4*h + 2*a = 4*a + 976, k = -4*a. What is the tens digit of h?
4
Suppose 4*x + 16 = 2*t, -4*x - 22 = -3*x - 5*t. What is the tens digit of 2*((-281)/x - 6)?
6
Let g = 4378 - 6146. Let f = -1135 - g. What is the hundreds digit of f?
6
Let s(f) = -13*f - 64. Let p(o) = o**2 + 17*o + 34. Let q be p(-15). Suppose -j = q*b + 73, 8*b - 3*b - 5*j + 85 = 0. What is the units digit of s(b)?
0
Let n(u) = u**2 + 8*u - 22. Let i(v) = 2*v - 17. Let p be i(14). What is the hundreds digit of n(p)?
1
Let l = -94 + 89. What is the tens digit of 53 - ((-3 - l) + 4)?
4
What is the tens digit of (1/(-5)*6085)/(2 - 3)?
1
Let v = -2290 - -1008. Let s = 2268 + v. What is the units digit of s?
6
Suppose q = z - 56512, z = -235*q + 237*q + 56509. What is the thousands digit of z?
6
Let v = -5542 + 11638. What is the units digit of v?
6
Suppose c - r = 29, 11 = c + r - 12. Suppose c*g - 36*g = -270. What is the tens digit of g?
2
What is the tens digit of 1/6*-3 + (-230450)/(-20)?
2
Suppose 646 = 2*g - 5*r, 3*g = r + 840 + 103. Let m be 1 - g*(-4 + 3). Suppose 70 = 3*a - m. What is the tens digit of a?
2
Let s(z) = -224*z + 7. Let u be s(-4). Suppose -u = -10*b + 217. Let d = 165 - b. What is the units digit of d?
3
Let y(c) = -29*c + 234. Let o be y(8). What is the hundreds digit of ((-372)/24 + 15)/(o/(-5916))?
4
Suppose -z - 21 = -2*z - 3*n, n = -5*z + 35. Suppose -6*y + 8 = -8*y. What is the hundreds digit of (z/y)/(9/(-822))?
1
Let r(i) = i**2 + 10*i + 4. Let d be r(-11). Suppose 19*x + 56 = 2*o + d*x, 0 = o - 5*x - 25. What is the units digit of (-4)/((-8)/o)*(2 + 8)?
0
Suppose 0 = 8*n - 1393 - 663. Let g = n - 118. What is the hundreds digit of g?
1
Let v = -689 - -700. What is the units digit of (v/(-22))/(2/(-5260))?
5
Suppose 21 = -10*u + 17*u. Suppose -c - 1017 = -u*m - m, 1 = -c. What is the hundreds digit of m?
2
Suppose 1980 = -5*c + 16*c. What is the units digit of 292830/c - (-2)/12?
7
Suppose 5*x + 6196 = 4*o, -o - 4*x + 1570 = -0*x. Suppose 0 = 2*y + 4*y - o. What is the tens digit of y?
5
Suppose 2 + 3 = -5*j, 0 = -3*y - 4*j - 484. Let t = y - -326. What is the units digit of t?
6
Let l = -49 - -44. Let o be 1/l + (-168)/(-40). Suppose 0 = -m + 5*f + 181, 2 = o*f - 6. What is the units digit of m?
1
Suppose -10*y + 35 = -3*y. Suppose -3217 = -3*u - 4*a + 6*a, -y*u + 5361 = -4*a. What is the units digit of u?
3
Let y be 4*4/(-24)*(-75)/5. Suppose -y*g + 318 = -602. What is the units digit of g?
2
What is the tens digit of (4/(180/7677))/((-6)/(-780))?
7
Let n(m) = m**3 + 22*m**2 + 2*m + 43. Let x be n(-22). What is the tens digit of (-9)/18*(x - 513)?
5
Suppose -190*l + 189*l + 33204 = 3*m, 33199 = l + 4*m. What is the hundreds digit of l?
2
Suppose 16*n - 131 + 35 = 0. Suppose -c = -n*c + 890. What is the hundreds digit of c?
1
What is the thousands digit of (10 + -2)/(-4)*-4306?
8
Suppose 8*z + 2*q - 14573 = 5*z, -10*z - 2*q + 48586 = 0. What is the hundreds digit of z?
8
Suppose -141306 + 449956 = -17*f + 67*f. What is the hundreds digit of f?
1
Suppose 3*v + 2*v = 2*p + 105285, -8*v + 168447 = -5*p. What is the hundreds digit of v?
0
Suppose 3*x + 3677 = 5*r, -x - 1324 = -5*r - 115. What is the tens digit of (-51)/(-85) + x/(-10)?
2
Suppose -3*t + 12*t + 9 = 0, 80711 = 5*f + 4*t. What is the hundreds digit of f?
1
Suppose 4*t - 9*l = -11*l + 4948, 0 = 2*t - 5*l - 2450. Suppose -u + t - 443 = 0. What is the tens digit of u?
9
Let s(b) = -775*b - 327. What is the tens digit of s(-6)?
2
Let i = 113149 + -70589. What is the units digit of i?
0
Let j be 3*(123/63 - 2/7). Let r be (0/(-1 + -1))/(j + -2). Suppose -5*k + 46 + 704 = r. What is the tens digit of k?
5
Let q(l) = -l**3 - 13*l**2 - 25*l - 5. Let k be q(-16). Let j = 1693 - k. What is the units digit of j?
0
Let t be (-2)/(-4) - 5649/(-42). Let w = 189 - t. What is the units digit of w?
4
Suppose -7*m + 7608 = -9220. What is the thousands digit of m?
2
Suppose q = 0, 0 = 2*l - 0*q + 5*q - 993 - 35069. What is the units digit of l?
1
Let v(u) = 3*u**3 - 22*u**2 + 22*u + 21. Let r be v(24). Suppose -24*b = -3819 - r. What is the thousands digit of b?
1
Suppose -i + 54207 = 5*h, 38*i = 37*i + 2. What is the hundreds digit of h?
8
Let s(x) = -423*x + 46. What is the tens digit of s(-17)?
3
What is the tens digit of (8/(-21)*-249)/((-1)/((-35)/10))?
3
Suppose -5*l = -0*l + 30. Suppose 3*f + 135 = 3*b, 15*f + 162 = 11*f - 2*b. What is the te | {
"pile_set_name": "DM Mathematics"
} |
for c.
-4
Solve -2*z + k = -7*z - 20, -z = -k - 2 for z.
-3
Solve -3*n + 29 = 4*z, -16*z + 13*z = -5*n for z.
5
Solve -2*v + 12 = 2*o - o, -5*o + 24 = v for o.
4
Solve -4*x + 19 = 3*q, -3*q + 20 - 5 = 3*x for q.
1
Solve -4*z - 14 = 2*x, 1 + 1 = -z - 2*x for z.
-4
Solve 2*s = a + 1, -5*s - 3*a = -6*s - 12 for s.
3
Solve 2*r + 21*t + 11 = 24*t, -5*r = -t + 8 for r.
-1
Solve -36*d = -40*d - 8, -4 = 3*z + 5*d for z.
2
Solve j + 4*m - 4 = 0, -74 = 5*j + 2*m - 58 for j.
-4
Solve -2*f - 6 = 2*g, -f = 2*g - 280 + 288 for f.
2
Solve -c - 5*g = 30, 4*c + 24 = -5*g - 21 for c.
-5
Solve 20 = -4*r + 2*p, 4*r + 6 = -5*p + 14 for r.
-3
Solve 8*d - 7*d + 9 = -5*x, -4*d = -4*x - 12 for d.
1
Solve -5*q - 25 = -5*p, 122*p = 127*p + 3*q - 1 for p.
2
Solve -19*t = -20*t - y + 7, 4*t - y - 8 = 0 for t.
3
Solve 2*f + 11 = 3*v, -4*v + 4*f + 12 = -0*f for v.
5
Solve 4*p - 26 + 7 = m, -m = 5*p - 17 for p.
4
Solve i - 1 = 2*y - 2, 0 = -2*i - y + 13 for i.
5
Solve -24*l = -3*n - 21*l - 21, 4*n + 24 = 2*l for n.
-5
Solve 2*c = -11*v - 46, -5*v - c = 3*c + 24 for v.
-4
Solve 8 = 4*w - 4*h, 5 = -6*w + 7*w - 4*h for w.
1
Solve -4*n = 2*r - 2, 2*r = 5*n - 22 + 6 for n.
2
Solve -2*h - 2 = -r, r + 16 = 3*r + 2*h for r.
6
Solve -5*i = q, -2*i - 5*q + 4*q - 3 = 0 for i.
1
Solve o - 3*n = 13, -4*n + n - 17 = -5*o for o.
1
Solve -8 = 5*j - 5*p + 22, -5*p + 22 = -3*j for j.
-4
Solve 2*j - 5*i = -8 - 19, 0 = -4*j + i - 9 for j.
-1
Solve 0 = 5*m - 10*m + 15, -5*a = -m + 23 for a.
-4
Solve 0 = 12*c - 9*c + x - 18, -4*c + 2*x = -14 for c.
5
Solve -5*g + 14 = 2*r - 5*r, -5*r - 10 = 5*g for g.
1
Solve -5*h + 4 = -3*b + 4*b, 0 = -b + 3*h + 4 for b.
4
Solve 7 = -14*y + 17*y - 2*l, l = y - 1 for y.
5
Solve 3*f = -5*q + 40, f = -4*f + 25 for q.
5
Solve 2*p - 14 = -4*k + 3*k, 10 = 2*p for k.
4
Solve 3*h + 21 = 4*v, -3*v = -4*h - 1 - 20 for h.
-3
Solve 5*y - 10*y - 4*k = 17, -3*y + 2*k - 19 = 0 for y.
-5
Solve 0 = -4*y - 4*x, 4*x + 8 = y + 3*y for y.
1
Solve d = -2*z + 13, 5*z + 0 = -d + 25 for d.
5
Solve s - 11 = -5*w, -4*w = 7*s - 3*s - 12 for w.
2
Solve -2*z + 3*a = -18, z - 32*a + 27*a = 30 for z.
0
Solve -t - 12 = -0*t - 3*z, 2*t - 6 = -4*z for t.
-3
Solve -4*l = 3*s - 8 - 6, 4*s + 2*l = 12 for s.
2
Solve 2*n = 5*g + 16, 15*n = -2*g + 19*n for g.
-4
Solve -4*q = 51 - 43, 5*q = -5*v - 25 for v.
-3
Solve 0 = 2*k - 4*v - 3 + 29, 2*v = 4*k + 22 for k.
-3
Solve 4*c = -u + 7, -38 = 4*u - 2*c - 12 for u.
-5
Solve 8*j + 2*g + 2 = 6*j, -2*g = -2*j - 14 for j.
-4
Solve 4*d + 14 = -3*q, -4*d - 5 - 5 = q for d.
-2
Solve -3*y + 5*f - 75 = -47, -5*y - 25 = -4*f for y.
-1
Solve 0 = n + 4*p + 7, 0 = -6*n + 3*n + 5*p + 13 for n.
1
Solve 0 = 4*c + 2*h - 27 + 31, 0 = 2*h - 4 for c.
-2
Solve -4*u + 4*h + 21 = 49, 4*h = -2*u - 2 for u.
-5
Solve 2 = -2*q - 3*l + 4, -25 = q - 5*l for q.
-5
Solve 0 = -4*k - 8, -k - 5 = 4*o - 23 for o.
5
Solve -2*q + 4*l = 18, 0 = -2*q + 2*l - 0*l - 8 for q.
1
Solve 93*u = 4*h + 97*u - 16, -2*h + u + 11 = 0 for h.
5
Solve o - 4*i = 9, -i + 0*i = -o + 6 for o.
5
Solve 2*i = 3*k, -4*k - 2 = 6*i - 8*i for k.
-2
Solve 5*x - 20 = 0, -14 = q - 2*q - 3*x for q.
2
Solve -4*b + 24 = 5*y, 9*y + 3*b - 14 - 25 = 0 for y.
4
Solve 0 = 3*c - 40*s + 36*s - 15, -s = 4*c - 20 for c.
5
Solve 0 = -3*w - 4*j - 23, 0 = 2*w + 3*w - 2*j + 21 for w.
-5
Solve -2*n - 25 = 3*x, -4 = -4*x + 5*n + 1 for x.
-5
Solve 3*r - 3*o = 12, 3*r + o - 1430 + 1442 = 0 for r.
-2
Solve 20 = 4*i - 4*r, 5*i - 5*r - 25 = -2*r for i.
5
Solve 16*t + 4*x = 12*t + 8, 2*t - 2*x - 4 = 0 for t.
2
Solve 3*p - 5*r = 7, 4*p = 2*r + 8 + 6 for p.
4
Solve 3 + 4 = -5*n - 2*m, 4*n = m - 3 for n.
-1
Solve 4*x = 44*l - 42*l - 10, -l = -3*x - 5 for x.
0
Solve 5*q = -u - u - 6, 4*q - 9 = 3*u for u.
-3
Solve 17 = 3*k + 5*a, -3*a = -2*a - 4 for k.
-1
Solve 31*f = 32*f - 3*b + 4, -15 = 2*f + b for f.
-7
Solve 4*a - 3*z = -17, 15 = 4*z + 3 for a.
-2
Solve -2*w + 3*y + 15 = 0, -5*w - 3*y + 59 = 74 for w.
0
Solve -4*p = i + 10, -4*p = 5*i + 22 - 20 for i.
2
Solve -4*k + 0*k = -3*h + 5, 2*k - 5*h - 1 = 0 for k.
-2
Solve -5*j + 13 = -m, -5*m + 1 + 0 = -3*j for j.
3
Solve 3*n - n = -3*m + 22, -3*m + 32 = 4*n for m.
4
Solve -2*z - 5*h - 6 = 19, 3*h + 15 = -5*z for z.
0
Solve -5 = -4*x - 2*v - 7, -5 = 4*x + 3*v for x.
1
Solve 2*b - 6 = -n, -3*n = -8*n - 3*b - 5 for n.
-4
Solve 5*u - 7*u - 16 = 3*a, -2*u - 16 = 4*a for a.
0
Solve 14*w + 8 = 12*w - 2*i, 3*i = -3 for w.
-3
Solve -k - 3 = -4*k, 11 = 4*z - k for z.
3
Solve s = -3*a - 7, -3*a = 37*s - 41*s - 13 for a.
-1
Solve p = -3*d + 2, -5*d = -5*p - 0*d - 10 for p.
-1
Solve 2*q - 5*l - 7 = 5*q, -3*l + 31 = -7*q for q.
-4
Solve -m - 3 = -k + 2, 5*m + 18 = -2*k for m.
-4
Solve -6 = 5*j + i, 4*j + i - 6 = -11 for j.
-1
Solve 5*c = -3*u + 22 - 11, 6 = 2*u + 3*c for u.
-3
Solve -19 = m + 5*b, -2*m - 4*b - 14 = -0*m for m.
1
Solve 5*l = 3*f - 6, 2*f - 1 = -2*l - 13 for f.
-3
Solve 5*v = 5*p - 0*p - 15, v - 3*p + 13 = 0 for v.
2
Solve 2*z = 3*z - 4*g - 16, -3*z - 37 = 5*g for z.
-4
Solve 2*v + 6 = 2*z, 5*z - v - 11 = -0*v for z.
2
Solve -3*d - 4*v = 1, 5*d + 4*v - 1176 + 1175 = 0 for d.
1
Solve 3*s + 2*x = 7*s + 2, -3*s = 2*x - 16 for s.
2
Solve -5*v = 4*x + 5 + 22, 3*v + 4*x = -21 for v.
-3
Solve -205*y + 16 = -208*y - 5*f, 0 = -5*y + 3*f + 30 for y.
3
Solve 6*f + 3*d = 7*f + 6, 0 = 5*d - 15 for f.
3
Solve -8*t - 2*j = -11*t - 12, -4*t + 2*j - 16 = 0 for t.
-4
Solve 5*m + 6 = 2*x, -m - 1 = 4*x + 9 for m.
-2
Solve -3*c - 17 = 5*o, -8 = -4*c - 4 for o.
-4
Solve 5*c + 15*b = 10*b, -c + 2*b + 3 = 0 for c.
1
Solve 5*v - 38 + 42 = -2*z, 0 = -4*v - 8 for z.
3
Solve -5*t + 7*t + 4*g - 36 = 0, -30 = t - 4*g for t.
2
Solve -2*l - 3*o = -6, 2*o = 4*l - 3 - 9 for l.
3
Solve -25*i + 27 = -28*i + 3*a, -5*a + 29 = -i for i.
-4
Solve -4*c + 24 = -m, 5*c = -3*m + 12 + 1 for m.
-4
Solve -2*r + 5*k = -25, -11*k - 5 = -4*r - 10*k for r.
0
Solve -2*i - 16 = 4*y, 67*i = -4*y + 66*i - 16 for y.
-4
Solve 4*p - 6 = 2*o, -2*p + 24 = 3*o + 3*p for o.
3
Solve -2*o + 3*k = 10, -4*o = -o + 3*k for o.
-2
Solve a + 2*a = -5*k + 3, -2*a - 11 = -k for a.
-4
Solve -9*y = 4*q - 10*y - 4, 2*q + 5*y - 2 = 0 for q.
1
Solve 0 = -2*j - 10, -3*j = -0*r - 3*r + 21 for r.
2
Solve -g + 14 + 8 = -5*a, 0 = 2*a + 2*g + 16 for a.
-5
Solve -3*h + 2*u + 3 + 1 = 0, 0 = 5*u + 25 for h.
-2
Solve z - 3*z = 2*p, 0*z = z for p.
0
Solve 0 = -4*l - 4*j - 12, 0*j = 4*j + 12 for l.
0
Solve -h = -2*h + 4*c + 3, 2*h + 20 = -5*c for h.
-5
Solve 5*z = -i + 5, -2*i + 5*z + 3 - 8 = 0 for i.
0
Solve 20*d - 24*d = -4*s - 4, 0 = -2*d - 3*s + 22 for d.
5
Solve 20 = -2*p - 2*l, -p + 7 + 3 = -3*l for p.
-5
Solve c = -5*p - 15, 5*p - 2 = -2*c - 12 for c.
5
Solve -4*n - 5*b - 3 = 0, 4*n + 0*b - 15 = b for n.
3
Solve -b - 10 = 9*x - 11*x, -5*x = b - 25 for b.
0
Solve -2*l + 2*y = 31 - 37, -5*l + 2*y = 0 for l.
-2
Solve -2*l - 2 = 4*z - 0, 5*l + 11 = -4*z for z.
1
Solve 0 - 6 = 2*p + 3*z, 3*p - 25 = 4*z for p.
3
Solve 12*s = 20*s + 40, -3*o = 4*s + 11 for o.
3
Solve 0*l + 5*l + 23 = -4*a, 5*a = -10 for l.
-3
Solve -3*h - 6 = -5*q, -2*h - 2*q - 4 = 3*q for h.
-2
Solve -5*z + 4*z = -2*t - 11, -22 = 5*t + 3*z for t.
-5
Solve -4*f = 5*l - 13, 3*f - 61*l + 62*l + 4 = 0 for f.
-3
Solve -9*r + b = -12*r + 7, 5*b = -10 for r.
3
Solve 20*i = -5*m + 23*i - 18, 0 = 5*m - 5*i + 20 for m.
-3
Solve 5*o = m + 19, o = 2*m - o + 14 for m.
-4
Solve -3*a - 4 = 5*w, -4*a - a - 4*w = 11 for a.
-3
Solve 4*k + 10 = -7*r + 9*r, -2 = 2*r for k.
-3
Solve -r = c, -6*r + 5*c = -r - 30 for r.
3
Solve -q + 0*l + 15 = -2*l, -q - 2*l = 5 for q.
5
Solve 4*v + 6 = -4*b - 14, 0 = 4*v + 2*b + 14 for v.
-2
Solve 10 = 2*j + 2*y, 3*y = -j + 4*y - 3 for j.
1
Solve -3*f = -7*f + b, 0 = -5*f + 4*b - 11 for f.
1
Solve 3*w = 2*j - 19, -26 = -w - 5*j - 4 for w.
-3
Solve 2*x - 2*t + 260 = 272, 28 = 3*x - 5*t for x.
1
Solve -4*c - 11 = a, -10*c - 5*a = -9*c - 21 for c.
-4
Solve 1 = 5*p + h, -76 = 4*p - 4*h - 72 for p.
0
Solve -2*n - 14 = -2*v, -v + 11 = -3*v - 3*n for v.
2
Solve -2*z - 30 = -4*a - 8, 4*z + 29 = 3*a for z.
-5
Solve -9 = 3*s, 0*k + 5*k = -2*s + 14 for k.
4
Solve -4*g + 20 = -3*i, -2*i + 15 = 3*g - 5*i for g.
5
Solve -8*o + 10*o + 43 = -7*a, 3*o = 4*a + 8 for o.
-4
Solve -j - w + 21 = -5*j, 11 = -4*j - w for j.
-4
Solve -b = -6*b + 2*f + 1, -16 = 4*b + 4*f for b.
-1
Solve j + 0*x - 13 = 2*x, 0 = -4*x - 20 for j.
3
S | {
"pile_set_name": "DM Mathematics"
} |
he nearest to 7 in 3, -4, -1/2, -5?
3
What is the nearest to 35 in 2/17, -0.5, -301, 1/5?
1/5
What is the closest to 2/3 in -7, -12/5, 0.8?
0.8
What is the closest to 4/5 in 1, -0.7, 0.4, -5?
1
What is the nearest to 1 in 1/51, 4, -9, -2/9?
1/51
What is the closest to -1 in -2/7, -0.2, -1, -17?
-1
What is the nearest to -2 in 3/2, 0.01, -2?
-2
Which is the nearest to 0.06? (a) 5 (b) 7 (c) 1/9
c
What is the closest to -118 in 1/5, 2, 1?
1/5
What is the closest to 14 in -5, 8, -1?
8
What is the nearest to 0.1 in -0.15, 0.01, -0.1?
0.01
What is the closest to 1/6 in 9/2, 49, -0.4, -4?
-0.4
Which is the closest to -31? (a) 2 (b) -0.5 (c) 0.2
b
Which is the nearest to -2? (a) 2.8 (b) -1/4 (c) 4 (d) 1
b
Which is the nearest to 1? (a) -1/5 (b) -3 (c) -5 (d) -2.2
a
Which is the closest to 2? (a) -4 (b) -3/2 (c) -6 (d) -13
b
What is the closest to -2 in -0.02, 19, -5?
-0.02
What is the nearest to -0.2 in -1/7, -1/2, -2, 3?
-1/7
Which is the nearest to 3/20? (a) -2/11 (b) 28 (c) 3
a
What is the nearest to -1 in 2, 0.5, 0.4, 1/4?
1/4
What is the nearest to 6 in -1, 2, 2/5, 1/3?
2
What is the closest to -1/2 in -0.4, -0.07, -5, 3/8?
-0.4
Which is the closest to -1? (a) -5 (b) 0.4 (c) -2/37
c
Which is the nearest to 3/8? (a) -1/7 (b) -2/15 (c) 3 (d) 42
b
What is the nearest to 1 in 2/3, 5, 0.12?
2/3
What is the closest to 1 in 1/202, 1/5, -1/4?
1/5
What is the nearest to -0.2 in 3/4, -3, 253?
3/4
Which is the nearest to -1/18? (a) -1/6 (b) 1 (c) -4 (d) 4/7
a
Which is the closest to 8? (a) -1/4 (b) -0.5 (c) -3/2 (d) -9
a
Which is the closest to -0.03? (a) -0.1 (b) -4 (c) -3
a
Which is the closest to -0.4? (a) 0.1 (b) 0 (c) 0.136
b
What is the nearest to 16 in -2, -6, -1, -0.06?
-0.06
What is the closest to 1 in -1/8, -0.5, -1/5, 0.3?
0.3
What is the nearest to 1 in 0.3, 0, -3/2, 0.2?
0.3
Which is the nearest to -1? (a) -6 (b) 1/10 (c) -7 (d) -0.4
d
What is the nearest to -0.3 in -3, -0.07, -4, 0.06?
-0.07
What is the nearest to 1 in 2, 9, -64?
2
Which is the closest to 0.1? (a) -0.5 (b) -3 (c) 22 (d) 3
a
Which is the closest to 1? (a) 3 (b) -285 (c) -0.1
c
Which is the closest to -0.2? (a) -3 (b) 4/9 (c) -1/35
c
Which is the closest to 1? (a) -2 (b) 10 (c) -0.2 (d) -211
c
Which is the closest to 2/7? (a) -1/3 (b) 0.7 (c) -6/7 (d) 0.01
d
Which is the closest to -2/9? (a) 0.2 (b) -4/5 (c) 2
a
What is the closest to 0.1 in 0, -0.421, 12?
0
What is the closest to -2 in -1/3, -3/7, 1/4?
-3/7
What is the nearest to 1 in 0.205, 1, -3?
1
Which is the nearest to 6? (a) -0.5 (b) -6 (c) 2
c
What is the nearest to 15 in 0, 1, -4/5, -5?
1
What is the closest to 0 in -4, 20, -0.2, -2?
-0.2
Which is the closest to 2? (a) 0.3 (b) 1 (c) -1
b
What is the nearest to -0.2 in 1, -1/541, -0.1?
-0.1
Which is the nearest to 31? (a) -1/4 (b) 3 (c) 8.9
c
What is the nearest to -0.1 in 3, -5, -0.2?
-0.2
Which is the nearest to -0.21? (a) -7/4 (b) 0.2 (c) 0.5
b
What is the closest to -2/3 in 1, -2/3, -1/4, -3/2?
-2/3
Which is the nearest to 0.1? (a) 1/3 (b) 1/5 (c) 0.13
c
Which is the nearest to -6/25? (a) -0.5 (b) -4 (c) -0.3 (d) 0.3
c
What is the nearest to -1 in 40, 5/2, -0.6, -5?
-0.6
What is the closest to -2 in 2, 3, 7, 0.2?
0.2
Which is the closest to -3? (a) -1/4 (b) -3/4 (c) 32
b
What is the closest to -1/2 in -1/2, -2, 2, 2/3?
-1/2
Which is the closest to 0? (a) 22 (b) 4 (c) 0 (d) -0.5
c
What is the nearest to 1/58 in -1, -0.5, 3, -2?
-0.5
Which is the closest to 1? (a) 3/2 (b) 3.4 (c) -5/4
a
What is the nearest to -1 in 22, 4, 2/9?
2/9
Which is the nearest to -2/5? (a) 2/3 (b) -4 (c) 9/5 (d) 1
a
Which is the nearest to 1? (a) -1 (b) 0.58 (c) -4
b
What is the nearest to 3 in 5, 2, -47?
2
What is the nearest to -1.7 in 3/7, -0.2, -1/4, 0.14?
-1/4
What is the nearest to -1 in -2.1, -3, 2, 4?
-2.1
Which is the nearest to -0.057? (a) -0.2 (b) 1/4 (c) 0.037
c
What is the closest to 1/4 in -3, 0.1, -0.09?
0.1
Which is the nearest to -3? (a) -0.0058 (b) -4/5 (c) -5 (d) -0.4
c
What is the nearest to 2 in -4, 118, 6?
6
What is the closest to 1/4 in 21, -0.16, -1, -2?
-0.16
Which is the nearest to -5? (a) 0.05 (b) 0.2 (c) -2
c
What is the nearest to 0 in -6, -3, 4, 0?
0
What is the closest to 0.2 in 0.4, 3, 5?
0.4
Which is the nearest to 0.1? (a) 9 (b) 4 (c) -5 (d) 0.1
d
Which is the closest to -0.1? (a) 5 (b) -1.4 (c) -0.3 (d) 3
c
What is the nearest to -2/3 in -2/13, 1/10, 4, -0.01?
-2/13
What is the closest to -2 in 8, -39, -0.3?
-0.3
What is the closest to 0 in -0.5, 5/3, -1, 0?
0
What is the nearest to -1 in 168, 1, -1/10?
-1/10
Which is the closest to -0.1? (a) 5 (b) -4 (c) -1.9
c
What is the closest to 12 in -14, 0.4, -1?
0.4
Which is the nearest to -2? (a) 3 (b) 2/7 (c) -0.07 (d) -0.3
d
What is the nearest to 5 in 5, -3, -2?
5
What is the nearest to -51 in -3/4, -1/4, 2/7, 9?
-3/4
What is the closest to -2 in 0, 3/4, -2/9?
-2/9
Which is the closest to 0.04? (a) -1/3 (b) 2 (c) -16
a
What is the closest to 11 in 0.12, 0.5, 10?
10
Which is the nearest to 3? (a) -3 (b) -3/16 (c) -5 (d) 5
d
What is the nearest to 3 in 0, 0.4, -2, -91?
0.4
Which is the closest to -2? (a) -25/7 (b) 0 (c) 3 (d) -3/8
a
Which is the nearest to 17? (a) -4 (b) 2/5 (c) -33
b
Which is the closest to -0.1? (a) 0.473 (b) -3 (c) -5
a
Which is the nearest to 2/5? (a) -44 (b) 0.4 (c) 4 (d) 2/7
b
What is the closest to 2 in 3/4, -5, 2/3, -35?
3/4
What is the nearest to -1 in 1, -0.04, 5?
-0.04
What is the closest to -0.19 in -1/2, 9, 1/4?
-1/2
What is the nearest to -2/7 in 8/3, 2/7, -2/25?
-2/25
Which is the closest to 3/2? (a) -2/9 (b) 5 (c) 49
a
Which is the closest to -3? (a) 5/4 (b) -19 (c) -1
c
Which is the nearest to 17? (a) 4 (b) -3 (c) 1/6
a
What is the nearest to -0.06 in -24, -2, 1/7?
1/7
What is the nearest to -1/4 in 0.2, 0.06, -5?
0.06
Which is the closest to 2? (a) 1 (b) -3/5 (c) 0.1
a
Which is the closest to 2? (a) 2 (b) -9 (c) -8
a
What is the nearest to 2/5 in -15, 12, -2?
-2
Which is the closest to -3? (a) 12/7 (b) 10 (c) 6 (d) -1
d
What is the closest to 1 in 24, 14, -0.5?
-0.5
What is the closest to -2/61 in -0.4, 4, -1?
-0.4
What is the nearest to -111 in 5, 0, -7?
-7
What is the nearest to -53 in 3, 1, -4/3?
-4/3
What is the nearest to -2/3 in -2, -1, 1, -1.4?
-1
Which is the nearest to -1/2? (a) -2/3 (b) 2/5 (c) 87
a
Which is the closest to -1? (a) -1/9 (b) 3 (c) -0.2 (d) 0.3
c
Which is the nearest to -3? (a) -3 (b) 0.1 (c) 1/24 (d) -0.2
a
Which is the closest to 0? (a) 2/7 (b) 4 (c) 7/13 (d) 1/7
d
Which is the closest to -0.05? (a) -1/4 (b) 2/3 (c) 629
a
Which is the nearest to 1? (a) 1/3 (b) 1/7 (c) 1 (d) 2
c
Which is the closest to -70? (a) 3 (b) -2 (c) 6 (d) -4
d
What is the closest to 120 in -2/3, 3, 0.2?
3
Which is the nearest to 0? (a) 2 (b) -4 (c) 0.4
c
What is the nearest to -1 in -4, -15, 1/16?
1/16
What is the nearest to -1/2 in 0, -2/9, 4, -2/5?
-2/5
What is the nearest to 0.3 in 0.5, 3, 1/4?
1/4
Which is the closest to 3/2? (a) 2/3 (b) -0.3 (c) -2 (d) -0.05
a
What is the nearest to -1 in 0.1, 2/7, 0.2, 6?
0.1
Which is the closest to 0.1? (a) 3/31 (b) 1.1 (c) -3 (d) 5/3
a
What is the closest to 2/7 in 23, -0.3, -0.1, -2/13?
-0.1
Which is the nearest to 0.1? (a) 11/17 (b) -0.1 (c) 2
b
What is the closest to 0.1 in 21, -1, 1/2?
1/2
What is the nearest to 71 in 5, 0.2, -0.2, -2/15?
5
What is the closest to 3/4 in -0.75, 1/4, -3?
1/4
What is the closest to -1 in 1, -8, 4, 3?
1
Which is the nearest to -6? (a) 6 (b) 0 (c) -0.01
c
Which is the closest to 2/5? (a) 0.4 (b) 4 (c) 0.5 (d) 1/7
a
Which is the closest to 0.4? (a) 3 (b) 1 (c) 7 (d) 0
d
What is the closest to -2/5 in -1.9, 1, -0.48?
-0.48
What is the closest to 0.33 in -0.16, 4/5, 0.2?
0.2
Which is the nearest to 2? (a) -0.4 (b) -3/11 (c) 0.5 (d) -1
c
What is the closest to 0 in 2, 33.1, -0.4, 8?
-0.4
What is the nearest to 0.12 in -0.2, -4, 0.03?
0.03
What is the nearest to 3/4 in -1/10, 10, -3/2?
-1/10
Which is the nearest to 0? (a) -347 (b) -5 (c) 4/7
c
What is the closest to 15 in 4, 1, 0.06, -2/3?
4
What is the closest to 0 in 33, -0.02, -1, 5?
-0.02
Which is the nearest to -5/12? (a) -0.2 (b) | {
"pile_set_name": "DM Mathematics"
} |
term in 1433, 3326, 5621, 8270, 11225, 14438, 17861, 21446?
25145
What is the next term in 23222, 186019, 627970, 1488653, 2907646, 5024527?
7978874
What is next in 15178, 14890, 14602, 14314?
14026
What is the next term in 117566, 235166, 352798, 470462, 588158, 705886?
823646
What is the next term in -2538494, -5076976, -7615456, -10153934, -12692410, -15230884, -17769356?
-20307826
What is the next term in -348519, -697017, -1045477, -1393899, -1742283?
-2090629
What is next in 179893, 359414, 538925, 718420, 897893, 1077338, 1256749?
1436120
What is next in -5655, -22696, -51115, -90912, -142087, -204640, -278571?
-363880
What is the next term in -625, -921, -1209, -1489, -1761, -2025, -2281?
-2529
What is next in -224410, -224421, -224428, -224431?
-224430
What is the next term in 42179, 84419, 126721, 169085, 211511?
253999
What is the next term in 11712, 23793, 35874?
47955
What is the next term in -913, -3586, -7873, -13636, -20737?
-29038
What is next in 6842012, 6842037, 6842062, 6842087?
6842112
What comes next: -1117692, -1117857, -1118018, -1118175, -1118328, -1118477, -1118622?
-1118763
What comes next: 24358, 23792, 23226, 22660?
22094
What comes next: 56637, 113189, 169743, 226299, 282857, 339417?
395979
What is next in 340893, 681800, 1022719, 1363650, 1704593, 2045548, 2386515?
2727494
What is next in 5071, 21303, 48359, 86239, 134943, 194471, 264823?
345999
What is next in 10913, 43116, 96749, 171806, 268281, 386168?
525461
What comes next: 116572, 466346, 1049304, 1865446, 2914772, 4197282, 5712976?
7461854
What comes next: -52114, -59704, -67292, -74878, -82462, -90044?
-97624
What is the next term in -23544, -24301, -25058, -25815, -26572, -27329?
-28086
What comes next: -94201, -186648, -279095, -371542, -463989, -556436?
-648883
What is the next term in -18631784, -18631802, -18631816, -18631826?
-18631832
What is next in 571245088, 571245087, 571245086, 571245085, 571245084, 571245083?
571245082
What comes next: 108333, 866305, 2923659, 6930087, 13535281, 23388933, 37140735?
55440379
What comes next: 4679529, 9359058, 14038587, 18718116, 23397645?
28077174
What is the next term in 204572, 818359, 1841336, 3273491, 5114812, 7365287, 10024904, 13093651?
16571516
What is the next term in -534229, -1068458, -1602687?
-2136916
What is the next term in 46981, 47074, 47231, 47452, 47737?
48086
What is next in 350010130, 350010126, 350010110, 350010076, 350010018, 350009930, 350009806, 350009640?
350009426
What comes next: -16612, -66506, -149686, -266152, -415904, -598942?
-815266
What is the next term in 7525287, 15050573, 22575859?
30101145
What comes next: -445, -192, 377, 1382, 2943, 5180, 8213, 12162?
17147
What is next in 822, 3242, 7306, 13050, 20510?
29722
What is next in 234367702, 234367699, 234367694, 234367687, 234367678, 234367667, 234367654?
234367639
What is the next term in -3634, -3833, -4194, -4741, -5498, -6489, -7738, -9269?
-11106
What comes next: 2942, 2263, 1594, 935, 286, -353, -982?
-1601
What comes next: -19340, -18599, -17864, -17135, -16412, -15695?
-14984
What is the next term in -1799767, -3599562, -5399357, -7199152, -8998947, -10798742?
-12598537
What is next in 11841975, 23683944, 35525913, 47367882, 59209851?
71051820
What is the next term in -176925, -353784, -530643, -707502, -884361?
-1061220
What is the next term in -34307, -137228, -308771, -548936, -857723?
-1235132
What is the next term in -2488088, -9952364, -22392828, -39809480, -62202320, -89571348, -121916564?
-159237968
What is the next term in 115549, 115448, 115347, 115246, 115145, 115044?
114943
What comes next: -956, -987, -888, -659, -300?
189
What is the next term in 89025, 88902, 88779?
88656
What is the next term in -4148, -4955, -5762, -6569, -7376, -8183?
-8990
What is the next term in 1222723, 2445469, 3668215?
4890961
What comes next: 123761, 495055, 1113873, 1980215, 3094081, 4455471, 6064385?
7920823
What is the next term in 995296, 3981213, 8957730, 15924841, 24882540?
35830821
What comes next: -1276, -5719, -13124, -23491?
-36820
What comes next: -33959192, -33959215, -33959260, -33959333, -33959440, -33959587, -33959780, -33960025?
-33960328
What is the next term in -8930655, -8930654, -8930653, -8930652?
-8930651
What is the next term in 228653, 456773, 684893?
913013
What comes next: -59157, -59179, -59217, -59277, -59365, -59487, -59649, -59857?
-60117
What is next in -8291474, -8291519, -8291564, -8291609, -8291654, -8291699?
-8291744
What is the next term in 23920, 44890, 65860?
86830
What is next in -1406341, -11250878, -37971757, -90007150, -175795229?
-303774166
What is the next term in 30703391, 30703387, 30703381, 30703373, 30703363, 30703351, 30703337?
30703321
What comes next: 6007015, 6007020, 6007025, 6007030?
6007035
What comes next: 15611, 15677, 15743, 15809?
15875
What is the next term in -7586, -8321, -9068, -9833, -10622, -11441?
-12296
What is the next term in -2216, -2247, -2246, -2213, -2148?
-2051
What comes next: -9763, -9488, -9213, -8938, -8663, -8388?
-8113
What is the next term in -15639574, -31279147, -46918720, -62558293, -78197866?
-93837439
What comes next: 918, 9258, 32880, 79740, 157794, 274998, 439308, 658680?
941070
What is the next term in -2241, -4853, -8191, -12621, -18509, -26221, -36123, -48581?
-63961
What is next in -2018916, -4037814, -6056712, -8075610, -10094508?
-12113406
What is the next term in 23366, 43521, 63676, 83831, 103986?
124141
What is the next term in 483939, 968410, 1452881, 1937352, 2421823?
2906294
What is next in -39859, -155224, -347499, -616684, -962779, -1385784, -1885699?
-2462524
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-199099
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-32677
What is the next term in -414, -264, -172, -120, -90, -64?
-24
What is the next term in 264730085, 529460169, 794190253, 1058920337, 1323650421?
1588380505
What is the next term in -923491, -923476, -923449, -923410, -923359, -923296?
-923221
What is next in 9182597, 9182595, 9182593, 9182591, 9182589, 9182587?
9182585
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-114164151
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224969
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5070044
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705504
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52952498
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-2591
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6981
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5790547
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64331185
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-434009
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4815929
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650706481
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-1523442
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-56049
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113689
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1375140
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-104116758
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5250810436
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-1468449
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9244
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-1240648
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40589938
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661399
What comes next: -324997, -325169, -325341, -325513, -325685?
-325857
What is the next term in -31944, -31565, -30996, -30243, -29312?
-28209
What is next in 297574, 296961, 296348, 295735, 295122, 294509?
293896
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16005573
What is next in -4553, -17127, -37743, -66395, -103077, -147783, -200507, -261243?
-329985
What is the n | {
"pile_set_name": "DM Mathematics"
} |
h be s(5). Let d be 2/5 - 34/10. Are h and d non-equal?
False
Let c = -597 + 4783/8. Which is smaller: c or 2?
c
Let q be (-1)/3*(-4 - -1). Let r be q/3 - 4/(-6). Which is bigger: -2/17 or r?
r
Let a = -83 + 87. Which is greater: 0.7 or a?
a
Let g be (3/8)/((-6)/(-4)). Let c be 5/2 + (-3)/(-6). Suppose -2 = -r - c. Which is greater: r or g?
g
Suppose 0 = 2*s - 6*s + 24928. Let l = s - 592032/95. Let n = 6/19 + l. Is -2 greater than or equal to n?
False
Let b = 134 + -79. Which is greater: -2/7 or b?
b
Suppose -t + 0*t + 2 = 0. Let n be (-10)/6 - (-10)/15. Let r be 8/14 + n + 1. Which is smaller: r or t?
r
Let n = 19 + -18.6. Which is greater: -2 or n?
n
Let m = 38 - 39. Is m < -4/7?
True
Suppose 60 = 2*p + 2*p. Let o be 5/(p/6) - 0. Which is greater: 2/7 or o?
o
Suppose -4*a - 8 = 4. Let i(t) = -2*t - 6. Let v be i(-5). Suppose 4*y + p = -1, -y = -0*y - v*p + 13. Are a and y equal?
False
Suppose -29 + 9 = -5*k. Suppose -k + 12 = -2*q. Is -10/3 >= q?
True
Let b = 7 + -7. Which is smaller: -2 or b?
-2
Let d be -2 + -2 - (1 - (-723)/(-147)). Is 1 != d?
True
Let r = -2.5 - -1.4. Let y = -2.1 - r. Is -4/3 less than or equal to y?
True
Suppose 5*k + 6*k = -5*k. Which is smaller: k or -5/28?
-5/28
Let q = 4 + -5.3. Do 0 and q have the same value?
False
Suppose 3*i = -2*i - 510. Let o be (-152)/i*(-27)/18. Let c = 313/102 + o. Which is smaller: c or 2?
c
Let z be (-6*3/(-96))/((-3)/2). Is 1 greater than z?
True
Let h = -34698/343475 - 110/1249. Let p be 2 - (2208/(-550))/(-2). Let a = h - p. Is a not equal to 0?
True
Let j(x) = 20*x**2 + 2. Let g be j(4). Let w = -2248/7 + g. Which is smaller: 0 or w?
0
Suppose 4*b = 3*b + 2. Suppose -5*l = -b*l. Suppose 4*m - 11 = -3*a, -2*m + l = -a - 3. Which is bigger: 5/2 or m?
5/2
Suppose 15 = -0*g + 3*g - 3*f, 2*g + 2*f = -6. Suppose 0 = -x + 1 + 1. Suppose -x*c = -4*c. Which is smaller: c or g?
c
Let i = -2.6 - -0.6. Let k be -4 + 65/9 - (-8)/(-36). Is k not equal to i?
True
Let c(y) = y**3 - 5*y**2 - 4*y - 3. Let z be c(5). Which is smaller: -24 or z?
-24
Suppose -2*k + 2 = 0, 0 = -2*o - 0*k - 5*k + 3. Let g = o - 2. Let c = 1 + -2. Which is smaller: g or c?
g
Let a be ((-3)/(-114))/((-2)/(-8)). Let c be ((-6)/3 - 1) + 27. Let n be (-6)/(-10) + c/(-15). Which is bigger: a or n?
a
Suppose -4*m + 5*f + 42 = 0, 4*f = 2*m - m - 5. Let l = -13 + m. Are 4 and l nonequal?
True
Let q(d) = d**3 + 1. Let p be q(0). Suppose -5*j = 4*z - 22, -6*z + 4*z = -3*j. Suppose 6 = 2*g - 4*k + z*k, -2*k - 8 = -2*g. Which is smaller: p or g?
p
Let n = 1.6 - 3.6. Which is smaller: -0.1 or n?
n
Let n be (-39)/(-2) - (-4)/16. Is n less than 20?
True
Let d = -66 - -64. Is 7 smaller than d?
False
Let b be (2/6)/(10/(-12)). Let y = 23 - 37. Let f = y + 15. Which is greater: f or b?
f
Let o(b) = 22*b**2 + b - 1. Let z be o(1). Let c = z + -10. Let w be (6/c)/((-1)/1). Is w smaller than 0?
True
Let o = 34 - 33. Which is greater: 2/119 or o?
o
Let z = 1 + -2. Let o = 2.14 + -0.14. Let b = o + z. Which is smaller: 0.1 or b?
0.1
Let n = -1.2 - -0.2. Let x = 1/202 - -393/2222. Which is greater: n or x?
x
Let s be -2*(-1)/(-1)*-1. Let h(b) = s*b**3 - 4*b**2 + 4*b**2 - b**2 - 6*b**3. Let o be h(1). Which is bigger: o or -4?
-4
Suppose 3 = -5*j - 7. Let h = -8 + j. Let r(x) = x + 11. Let i be r(h). Which is smaller: i or 2?
i
Let g(z) = z**3 + 3*z**2 - 3*z - 1. Let o be g(-4). Let v = 43 - 47. Which is bigger: v or o?
v
Suppose -d - 5 = 4*d. Let a = -5 - -6. Let t be a + -1 + 6/27. Is d less than or equal to t?
True
Suppose 7*n = 4*n + 6. Suppose 5*v + 13 = -n. Which is smaller: -4 or v?
-4
Let m(h) = -2*h + 15. Let i be m(11). Let g = i + 6. Are g and -1/3 non-equal?
True
Let v(y) = y**2 + 11*y - 26. Let o be v(-13). Let g = 4 + -6. Let u(f) = -f - 3. Let s be u(g). Which is smaller: o or s?
s
Let i = -0.116 + -0.014. Which is smaller: i or 0?
i
Let t = -186 - -176. Suppose -4*m - 5*y - 3 = 16, 36 = -m + 5*y. Is m != t?
True
Let p(h) = h**3 - h**2 - 2*h + 1. Let o be 20/25 - (-2)/10. Let r be p(o). Is r greater than or equal to 1?
False
Let w(r) = -2*r - 3. Let j be w(-2). Suppose -3*l = 2*y + 6, 5 = -2*l + 2*y + j. Is 0.6 greater than or equal to l?
True
Let s(a) = a**2 + 5*a - 14. Let o be s(-7). Which is smaller: 1/2 or o?
o
Let x(o) = -2*o**3 - o**2 - o - 4. Let q be x(-2). Does 10 = q?
True
Let y(t) = 3*t**2 - 2*t + 2. Let x be y(1). Which is smaller: x or -5?
-5
Let c be ((-15)/(-12))/((-6)/16). Which is smaller: c or 0?
c
Let b be 8/6*1/(-6). Suppose -1 = -5*w - 16. Let z be ((-10)/15)/((-2)/w). Which is greater: z or b?
b
Suppose 0 = -2*x + 8 + 2. Let r(z) = -z**2 + 6*z - 6. Let t be r(x). Which is smaller: t or -1/2?
t
Let k = 7 + -7. Let d(m) = -m**2 - m. Let h be d(k). Let l(v) = -v**3 + v**2. Let b be l(h). Which is greater: -3 or b?
b
Let d = -77 + 97. Is d at least 99/5?
True
Let q = 1 + -2. Let c = 2 - -3. Suppose v + 2*v - 10 = -5*u, 4*v - c*u = -10. Is v at most as big as q?
False
Suppose -2*w - 47 = s - 3*w, -3*s - 121 = 2*w. Is s at least 1?
False
Suppose -6*m = 7*m - 767. Which is greater: m or 58?
m
Suppose 0 + 15 = 5*h. Suppose 0 = q + 4, 2*q = h*f - q - 24. Suppose l + f*l = 0. Is 3 greater than l?
True
Let d be -65*((-4)/8 - (-36)/40). Which is smaller: d or -25?
d
Let x be (-3 - -5) + 9/(-4). Let n = 12 + -13.4. Let k = n + 1.7. Is k greater than or equal to x?
True
Suppose -5 - 1 = -3*i. Suppose i*c = 3 + 9. Suppose -2*q - c = 0, 2*m + 2*q - 2 = 4*q. Is -7/4 equal to m?
False
Let a(w) = w**3 - 5*w**2 - 6*w + 2. Let t be a(6). Suppose 0 = 5*j - t*g + 10, 3*j - 8 = 7*j + 3*g. Which is bigger: j or -5/4?
-5/4
Let t = 78 - 78.03. Let u be (-12)/16 - 14/(-40). Which is smaller: t or u?
u
Let q(a) = -2*a - 5. Let j be q(4). Let z be (-41)/j + 12/(-78). Which is greater: z or 5/3?
z
Let u = 35384 + -248547/7. Let x = 11 - -112. Let k = x + u. Which is smaller: -1 or k?
-1
Let z be (4 + -7)*3/(-9). Let u be 2 - (-1 + -1) - z. Suppose -b + r = 0, -8*b + 4*b + 14 = u*r. Which is smaller: 4 or b?
b
Let o = -5 - -1. Let c be -8*2/(-1 - -3). Let a = -13 - c. Is o equal to a?
False
Let h be (3 + 358/(-120))*-1018. Let l = -101/6 - h. Let a = -7/60 - l. Which is bigger: a or -2/17?
-2/17
Let m be 2 + (-2 + 3)/1. Let z be 1 + (4 - 69/15). Which is smaller: m or z?
z
Let s be 18/(-32)*1*(-9 + -3). Which is greater: 7 or s?
7
Let x = -6 - -6. Suppose x = -3*b + 3 - 0. Is b at most -1/4?
False
Suppose 7*x + 3 = 4*x. Let v be -2 - ((-122)/42 - -1). Is x less than v?
True
Let i(y) = -y**2 + 6*y + 8. Let g be i(7). Let n = -53 + 211/4. Is n less than g?
True
Let h = 214 - 216. Let l be 22/8 + 1/4. Let d = 1 - l. Is h equal to d?
True
Let q be 0 + -2 - (-58)/4. Let n = 12 - q. Which is greater: n or 2?
2
Suppose 8 = -l + 5*f, -5*f + 0 = -10. Let j(c) = -4 - l + 0 - c. Let h be j(-7). Which is smaller: 2 or h?
h
Let n = 0.32 + -0.22. Which is bigger: n or -0.012?
n
Let t(p) = p**2 + 3*p - 10. Let x be t(2). Is x less than or equal to 14/19?
True
Let z = -15681/14 - -2157/2. Let n = 42 + z. Let o be 9 - 84/10 - (-4)/10. Are n and o nonequal?
True
Let z(s) = s**3 + 2*s**2 - s + 5. Let m be z(-3). Which is smaller: -3 or m?
-3
Suppose -q = -h - h + 19, -3*q + 6 = h. Let o be 3/h - (-44)/(-60). Let k = -6 + 4. Is k at least o?
False
Suppose f - 2*m + 6 = -3*f, -5*f + 4*m - 3 = 0. Let h = 4 + f. Which is greater: h or -3/8?
h
Let d = -11 - -15. Let i = d + -3.6. Suppose -4*h = -3*a, 0*h = -4*a - 4*h. Which is smaller: i or a?
a
Let v = -259/3 - -87. Are 0.1 and v unequal?
True
Let p = -2 + 13. Let u = p - 5. Which is smaller: 5 or u?
5
Let k(f) = -f - 4. Let p be k(-4). Let s be (-60)/(-70) + (-61)/63. Is p greater than s?
True
Let w = -5.94 - -6. Let a = w + -0.16. Is 3 < a?
False
Let r be 1 - -10*(-2 - -3). Which is smaller: r or 12?
r
Let x be (-1)/1*1 + 1. Which is smaller: -2/61 or x?
-2/61
Let b be 40/(-25)*(-10)/(-26). Do -2 and b have different values?
True
Suppose 0 = 2*t - 2 + 12. Let h = t + 5. Which is smaller: h or -5?
-5
Let z = 1.1 + -1.1. Let c = -1.1 + 1. Let t = z - c. Are 0.1 and t equal?
True
Let t be (-14)/4*(2 - 4). Suppose 4*b + t = 3*m, b + 3*m - 2 = -0. Is b <= -2?
False
Let b = 9.1 + -9.5. Are 2/19 and b nonequal?
True
Let l = -9677/9 + 1069. Which is smaller: l or 0?
l
Let t be 2/(-6)*6/7. Suppose -2*f = 2*f. Let v = | {
"pile_set_name": "DM Mathematics"
} |
re the prime factors of v?
2, 3
Suppose -5*k - h + 4*h = 0, 4*k - 5*h = 0. Suppose k*v + 2*v = 20. List the prime factors of v.
2, 5
Suppose -58 = -2*u - 8. List the prime factors of u.
5
List the prime factors of -6*(1 - (-20)/(-8)).
3
Let v(c) = 1 - 5*c + c - 18*c. Suppose -3*k - 2 = 2*k + 3*m, k = 4*m - 5. List the prime factors of v(k).
23
Suppose v + 2*x + 6 = 3*v, 5*v + 5*x - 5 = 0. Suppose -f + v = 4. List the prime factors of 2/12*f*-39.
13
Suppose 0 = -4*p - 8 - 0. Suppose 3*s = 5*m - 12, s = 3*m - 0 - 4. List the prime factors of p/8 - 17/s.
2
Let f = 41 + -36. What are the prime factors of f?
5
Let p = 17 - 27. List the prime factors of 4*4 + (p - -7).
13
Let b(i) = i**3 - 4*i**2 + 4*i - 2. Let w be b(2). Let l be 4/(w/2*1). List the prime factors of (-42)/(-8) + l/16.
5
Suppose 6*m - 30 = 3*m. What are the prime factors of m?
2, 5
Let i = 1079 + -691. What are the prime factors of i?
2, 97
Let z = -11 + 7. Let s(v) = v**3 + 4*v**2 - 2*v - 6. What are the prime factors of s(z)?
2
What are the prime factors of ((-5)/2 - 0)*(-1316)/35?
2, 47
Suppose 0 = -4*i + 90 - 14. What are the prime factors of i?
19
Suppose 1 + 69 = 5*m. List the prime factors of m.
2, 7
Let t = 124 - 38. Suppose -4*c + t = -18. What are the prime factors of c + -3 - (-6)/(-2)?
2, 5
Suppose -u + 97 = -5*y - 7, -2*u = -4*y - 232. List the prime factors of u.
2, 31
Let i(b) = -b**3 + 8*b + 6. What are the prime factors of i(-5)?
7, 13
Let c = 68 + 32. List the prime factors of c.
2, 5
Let c = -7 + -3. Let j = c + 19. List the prime factors of j.
3
Suppose 5*x = 3*r - 205, 5*r = 2*x - 80 + 447. What are the prime factors of r?
3, 5
Let p(a) = -3*a - 4. Let u be p(-4). Let t(s) = s**3 + 4*s**2 - 5*s. Let z be t(-5). Suppose z = 2*o - o - u. What are the prime factors of o?
2
Suppose 2 = -p - 2. List the prime factors of 20*(1 + (-1)/p).
5
Let w = -11 - -32. Suppose 2*p - u - w = -p, 4*u = 12. List the prime factors of p.
2
Suppose 0*t - 2*t + s = -165, -2*s = -3*t + 245. Suppose 2*z + 2*z = 0. Suppose z = -3*l - 2*l + t. List the prime factors of l.
17
Suppose 0*w - 2 = -w. Suppose 5*j - z = 25, 4*j - w*z = -z + 21. What are the prime factors of j?
2
Let a = 21 + -33. Let m = -10 - a. List the prime factors of m.
2
Let z = 150 + 25. What are the prime factors of z?
5, 7
Let t(y) = 8*y**2 + y + 1. Let x be t(-1). Suppose 3*p - x*p = -85. List the prime factors of p.
17
Let x = -26 - -111. What are the prime factors of x?
5, 17
Let v be -3 - (-6 + (1 - 0)). Let o be 170/8 + v/(-8). Suppose -y = -0*y - o. List the prime factors of y.
3, 7
Suppose -3 - 94 = -f. What are the prime factors of f?
97
Let c = 8 - 4. Let t be (-788)/(-20) - c/10. Let h = t - 20. What are the prime factors of h?
19
Let x(h) be the third derivative of 3*h**5/20 + h**3/6 - 3*h**2. What are the prime factors of x(-1)?
2, 5
Suppose -4*a = s, -3*s + 4*a + 60 = a. What are the prime factors of s?
2
Let h(u) = -u**3 - 7*u**2 + 4*u - 2. Let d be h(-7). Let x = d + 42. What are the prime factors of x?
2, 3
Suppose -4*l + 12 = -8, 2*j + 2*l - 764 = 0. What are the prime factors of j?
13, 29
Let d be ((-1)/2)/(1/4). Let k be 0 + (2 - 18) + d. What are the prime factors of 345/27 - 4/k?
13
Let j = -315 + 444. List the prime factors of j.
3, 43
Suppose c - 3*n - 73 = 0, 2*c + 0*c = 4*n + 140. List the prime factors of c.
2
Suppose 4*q - 8 = 4. Suppose -2*u + q*u = 0. Suppose u = -3*m + 7*m - 32. List the prime factors of m.
2
Let o = 22 + -19. Let w(b) = 0*b - b - 4 + 4*b. What are the prime factors of w(o)?
5
Suppose -5*t + 121 = -4. Let k = t - 13. What are the prime factors of k?
2, 3
List the prime factors of (2/3)/(16/312).
13
Suppose 0 = -2*h + s + 1, -6*h + 5*s + 5 = -2*h. List the prime factors of (-2 + h)/(-2)*11.
11
Let i = -88 + 304. What are the prime factors of i?
2, 3
List the prime factors of (-52)/(-3) - 2/6.
17
Let d(q) be the second derivative of -q**5/20 - 5*q**4/12 + q**2/2 + 4*q. Let a be d(-5). Suppose -5*v + 21 = a. What are the prime factors of v?
2
Suppose -19*d + 6*d = -5525. What are the prime factors of d?
5, 17
Suppose -7*w + 20 = -2*w. Let b be -1 + -1 - (-8)/w. Suppose 5*t = -b*t + 85. What are the prime factors of t?
17
Let d(x) = 2*x**2 + 5*x - 7. Suppose 5*k + 4*y - 3*y + 29 = 0, 2*y = -8. List the prime factors of d(k).
2, 3
Let o(n) = -n - 3. Let k(t) = 6*t + 19. Let y(m) = 6*k(m) + 39*o(m). List the prime factors of y(-4).
3
Suppose 0 = 4*o + z - 247, 4*o + 4*z - 345 = -101. List the prime factors of o.
2, 31
List the prime factors of (9/(-6))/((-3)/52).
2, 13
Suppose 0 = -2*c + 3 + 19. Suppose -5 = -x + c. List the prime factors of x.
2
Suppose -6*q + 30 + 378 = 0. List the prime factors of q.
2, 17
List the prime factors of 7/((-77)/(-970)) - (-12)/(-66).
2, 11
Suppose 22*t - 19*t - 366 = 0. List the prime factors of t.
2, 61
Let w be 0 - (-3)/(9/(-84)). What are the prime factors of w/(1*(-2)/2)?
2, 7
Let q be 0/((-1 - 2)/(-3)). Let j = q + 2. Suppose k - 1 = -n, -3*k - 1 - 2 = j*n. List the prime factors of n.
2, 3
Let q be 0*(-1)/2 + -51. Let m = -23 - q. List the prime factors of m.
2, 7
Let n be 3/((-10)/(-8) - 2). Let o = 4 - n. What are the prime factors of 98/o - (-3)/(-12)?
2, 3
Let r(w) = -w**3 + 5*w**2 + 2*w - 1. What are the prime factors of r(4)?
23
List the prime factors of (1*(-2 - 263))/(-1).
5, 53
Suppose 4*i = -5*j + 101, 3*i + 2*i = 2*j - 47. What are the prime factors of j?
3, 7
Suppose 205 = 5*r + 5. Suppose -7*x = 10 + 4. What are the prime factors of (7/(-14))/(x/r)?
2, 5
Let p = 6 - 2. Suppose 0*w = p*w - 72. Suppose 6 = 2*r - w. What are the prime factors of r?
2, 3
Suppose -12 = -3*l + 2*b, 2*b = 1 - 7. Let p be -2 + 4 + (0 - l). Suppose -5*r - 4 = k, p = -k - 3*r + 2 - 0. List the prime factors of k.
11
Suppose 2*a + 1082 = 3*c, -1603 - 194 = -5*c - 3*a. List the prime factors of (12/5)/(54/c).
2
Let c(a) be the second derivative of a**4/12 - 2*a**3/3 + 3*a**2 - 7*a. Let n = 4 - -1. List the prime factors of c(n).
11
Let i = 133 + -64. List the prime factors of i.
3, 23
Let u be 8 + -11 - -3*1. Suppose -5*o + u*o + 125 = 0. What are the prime factors of o?
5
Suppose 0*q = 4*q - 44. Suppose 0 = c + 2*y - q, 0 = 4*c - y - y - 24. What are the prime factors of c?
7
Let w(l) = 2*l**2 - 19*l + 13. List the prime factors of w(13).
2, 13
Suppose 4*b - 197 = -3*p, -2*b + 4*b = -5*p + 333. What are the prime factors of p?
67
Let j be (4/6)/((-2)/(-6)). Suppose 0 = -0*b + 4*b + u + j, -b - u - 2 = 0. Suppose b = -2*v - 3*r + 22, 4*v - 5*r - 44 = -2*r. What are the prime factors of v?
11
Suppose 3*o + 5*a - 30 = o, -3*a + 32 = 4*o. Let b = o - 5. Let w = 4 + b. What are the prime factors of w?
2
Suppose -3*z + 389 - 112 = -v, -2*v - 368 = -4*z. List the prime factors of z.
3, 31
Suppose 0 = 5*y + 2*t + 2, 4*t + 5 = -3*y - t. Suppose 3*i = -4*k - 12, 0*i + 3*i - 4*k - 12 = y. Suppose 32 = -i*h + 2*h. List the prime factors of h.
2
Let i(f) = 171*f**2 - 3*f. What are the prime factors of i(-1)?
2, 3, 29
Suppose 0 = -5*r + 3*r + 5*a - 1, -r + 3*a = -1. List the prime factors of r/(-20) + 196/10.
2, 5
Suppose -s = -2*t + 5, 3*t + 4*s - 2 = -0. What are the prime factors of t?
2
Let v be 3/15 - 14/(-5). Suppose -4*s + v*s = 3*z - 67, 3*z - s - 71 = 0. What are the prime factors of z?
23
Let j = 15 + -5. Let a be (-4)/(-10) - (-46)/j. Suppose -5*w + k + 44 = a*k, -w + 28 = -4*k. List the prime factors of w.
2, 3
Suppose -2*l + 3*p = -2*p - 29, 13 = -l - 3*p. What are the prime factors of l?
2
Let x(i) = i**3 + 3*i**2 + i + 2. Let z be x(-3). Let o be 2/(-6)*(6 - 3). What are the prime factors of -4*(5/o - z)?
2
Let v(l) = -2*l + 1. Let z be v(-6). Suppose -z = -3*f + 11. List the prime factors of f + (-1 + 2 - 1).
2
Suppose 0 = 4*j + 29 + 35. Let d = j - -25. What are the prime factors of d?
3
List the prime factors of 779/5 - (1 - 6/30).
5, 31
Let w be 8/(-28) - 60/(-14). Let i = 1 + w. What are the prime factors of i?
5
Suppose r - 14 = 3*w, 2*r + r - 2*w = 21. Let k(f) = f**2 - 5*f + 4. Let l be k(r). Suppose 0 = l*o - 3*o - 3. What are the prime factors of o?
3
Let n(m) = -4*m - 8. List the prime factors of n(-11).
2, 3
Suppose -3*u - 4*u = -350. List the prime factors of u.
2, 5
Suppose l = 3*l + 32. Let v = 4 - 8. What are the prime factors of (-4) | {
"pile_set_name": "DM Mathematics"
} |
Factor 5*o**4 + 2*o**5 + 2*o**5 + t*o**5 - 12*o**5.
-5*o**4*(o - 1)
Let a(w) be the second derivative of -2*w**7/483 - 7*w**6/345 + 43*w**5/230 - 43*w**4/138 - 5*w**3/69 + 14*w**2/23 + 2309*w. Solve a(j) = 0.
-7, -1/2, 1, 2
Let c(z) = -3*z**3 - 1437*z**2 - 5462*z - 4054. Let u(t) = -2*t**3 - 1078*t**2 - 4096*t - 3040. Let r(d) = -10*c(d) + 13*u(d). Suppose r(s) = 0. Calculate s.
-85, -3, -1
Let p(n) be the second derivative of -11/70*n**5 + 0 - 4/35*n**6 + 8/7*n**2 + 23/21*n**4 + 51*n + 5/147*n**7 - 12/7*n**3. Determine w so that p(w) = 0.
-2, 2/5, 1, 2
Let -2/3*n**4 + 176/3*n**3 + 344/3 - 114*n**2 - 176/3*n = 0. Calculate n.
-1, 1, 2, 86
Suppose 16*t - 14*t = 38. Suppose 2*w - 13 = -w - 2*r, 0 = -4*w - r + t. Factor 5*o**2 - w*o - 14 - 13 + 27.
5*o*(o - 1)
Find o such that 185/4 - 1/4*o**2 + 46*o = 0.
-1, 185
Let n be ((-11)/(121/(-11)))/((-546)/(-84)). Suppose 4/13*z + 0 + n*z**2 = 0. What is z?
-2, 0
Let z(c) be the second derivative of -c**5/40 - 91*c**4/24 + 40*c**3 + 535*c. Factor z(x).
-x*(x - 5)*(x + 96)/2
Suppose -107*x + 5660 - 86 = 224. Suppose -x*n**3 + 2200*n + 390*n**2 + 2420 + 5/4*n**4 = 0. What is n?
-2, 22
Let m(d) be the third derivative of d**8/896 - 17*d**6/160 - 23*d**5/40 - 87*d**4/64 - 7*d**3/4 - 2*d**2 + 131*d - 2. Factor m(p).
3*(p - 7)*(p + 1)**3*(p + 4)/8
Let t = 3644 + -29151/8. Let y(w) be the third derivative of 1/20*w**5 - 8*w**2 - 1/70*w**7 + 0*w**3 + 0 - 1/40*w**6 + t*w**4 + 0*w. Let y(p) = 0. Calculate p.
-1, 0, 1
Let i(m) be the second derivative of m**4/48 - 307*m**3/12 + 94249*m**2/8 - 5*m + 154. Suppose i(y) = 0. What is y?
307
Solve -99*g + 10643*g**3 + 92*g**4 - 848*g**2 - 605*g - 10691*g**3 - 8*g**5 + 4*g**5 = 0 for g.
-2, -1, 0, 4, 22
Suppose -10*t + 7 = -13. Let m = 60 + -54. Factor -1125 + 8*c**t - 7*c**2 + 150*c - m*c**2.
-5*(c - 15)**2
Let j(l) be the second derivative of -89*l + 0*l**3 + 5/4*l**4 - 10*l**2 + 1/4*l**5 + 0. Determine r so that j(r) = 0.
-2, 1
Determine q, given that -8*q + 31*q - 10 + 70 + 0*q**2 + q**2 = 0.
-20, -3
Let q(l) = -6*l**2 - 203*l - 714. Let g be q(-4). Factor -3/8*t**g - 9/4 + 21/8*t.
-3*(t - 6)*(t - 1)/8
Let g(q) be the second derivative of q**7/399 - 6*q**6/95 + 48*q**5/95 - 55*q**4/57 - 75*q**3/19 - 189*q. Let g(y) = 0. Calculate y.
-1, 0, 5, 9
Let y(k) be the third derivative of -1/40*k**5 + 1/8*k**4 - 7*k**2 + 5 + 0*k - 1/4*k**3. Factor y(l).
-3*(l - 1)**2/2
Let i(d) be the first derivative of -2*d**3/33 + 498*d**2/11 + 998*d/11 - 1222. Find u, given that i(u) = 0.
-1, 499
Let t(i) = i**2 - 3*i - 14. Let q be t(6). Suppose -3*g = 4*b - 39, b + b + q*g = 32. Factor 0*u + 30*u**2 + b*u + 6*u**4 - 4*u**3 - 18*u**3 - 20*u**2.
2*u*(u - 3)*(u - 1)*(3*u + 1)
Let z be -1936 + ((-132)/110)/(6/15). Let i = z - -1942. Factor 3/2*c + 3/2*c**2 - 3/2*c**i - 3/2.
-3*(c - 1)**2*(c + 1)/2
Let c = -305 - -308. Suppose 2*t + 0*t**5 - 3*t**4 - 5*t**c - 65*t**2 + 70*t**2 + t - 2 + 0*t + 2*t**5 = 0. What is t?
-1, 1/2, 1, 2
Let i(s) be the second derivative of -5*s**7/21 + 18*s**6/5 - 17*s**5/5 - 32*s**4/3 + 13*s**3 + 10*s**2 + 13855*s. Solve i(u) = 0.
-1, -1/5, 1, 10
Let f = 1/7409 + 7404/37045. Let i be (-3)/(-5)*((-16)/12)/(-1). Solve 2/5*b + 7/5*b**2 - f + i*b**3 = 0 for b.
-1, 1/4
Let d = 83 - -9. Find i such that 12*i**2 + 14*i - 94*i**3 - 6*i + 16*i**2 + d*i**3 - 7*i**4 = 0.
-2, -2/7, 0, 2
Let s(n) be the first derivative of n**6/270 - 69*n + 69. Let c(y) be the first derivative of s(y). Factor c(t).
t**4/9
Let f(j) = -37*j**4 + j**3 + 57*j**2 - 120*j + 85. Let v(u) = -21*u**4 + u**3 + 28*u**2 - 60*u + 44. Let k(c) = -4*f(c) + 7*v(c). Solve k(t) = 0.
-8, 1, 2
Let a be (-6 - 0) + 7*(-20)/(-21). Let i(d) be the first derivative of 15 - 3*d**2 + a*d**3 + 0*d. Factor i(s).
2*s*(s - 3)
Let v(p) be the third derivative of -p**7/210 + 3*p**6/40 - 23*p**5/60 + 5*p**4/8 + 1891*p**2. Factor v(w).
-w*(w - 5)*(w - 3)*(w - 1)
Let l(j) be the second derivative of 5*j**7/42 - 5*j**6/3 - 87*j**5/4 - 185*j**4/3 + 130*j**3/3 + 480*j**2 - 556*j + 2. What is u in l(u) = 0?
-3, -2, 1, 16
Let i(v) be the second derivative of -1/200*v**5 - 1/12*v**3 + 3*v - 4 - 1/10*v**2 - 1/30*v**4. What is n in i(n) = 0?
-2, -1
Suppose -13*k + 10*k = 2*l + 122, 0 = 2*k - l + 93. Let v be 9/5*k/(-66). Suppose 4/5*d**2 - 4/5*d**4 + 2/5*d**5 + v*d - 8/5*d**3 + 0 = 0. What is d?
-1, 0, 1, 3
Let b(i) be the first derivative of -5/3*i**4 - 16*i**2 - 28/3*i**3 + 11*i + 22. Let h(y) be the first derivative of b(y). Factor h(r).
-4*(r + 2)*(5*r + 4)
Find z, given that -27*z**2 + 38148 + 768*z + 456*z - 11*z**2 + 3*z**3 - 129*z**2 - 4*z**2 = 0.
-11, 34
Let q = 403/2277 + 1/207. Let d(m) = -9*m + 119. Let t be d(13). Factor 2/11*f**3 - q*f + 2/11*f**t - 2/11.
2*(f - 1)*(f + 1)**2/11
Suppose -46*o = -23*o - 63181. Suppose -65*b - 96 - o*b**2 + 2752*b**2 + 26 = 0. What is b?
-1, 14
Let v(d) be the second derivative of d**6/70 - 3*d**5/35 - 4*d**4/7 + 8*d**3/7 + 72*d**2/7 + 40*d + 19. Factor v(y).
3*(y - 6)*(y - 2)*(y + 2)**2/7
Find g such that -2*g**5 + g**5 - 326*g**2 + 133*g**4 - 4*g**3 + 336*g**2 - 139*g**4 + g**3 = 0.
-5, -2, 0, 1
Let l(v) = 2*v**2 + 49*v - 3. Let u(j) be the first derivative of j**3/3 + j**2 - j - 48. Let x(c) = -l(c) + 3*u(c). Determine q so that x(q) = 0.
0, 43
Suppose 5*m + 2*y + 0*y - 68 = 0, 4 = 2*m - 5*y. Solve 4*r**2 - m*r**2 - 360*r + 12*r**2 + 8100 = 0 for r.
45
Factor -3/2*n**2 + 51*n + 105/2.
-3*(n - 35)*(n + 1)/2
Let b(l) be the third derivative of -153*l**2 + 0*l + 1/100*l**5 + 0*l**3 + 0 - 3/40*l**4. Factor b(w).
3*w*(w - 3)/5
Let w be ((-762)/(-1778))/((-18)/(-84)). Find b such that -2/7*b**3 + 0 + 2/7*b**w + 2/7*b - 2/7*b**4 = 0.
-1, 0, 1
Let u = 127/3 + -42. Suppose 2*b - 14 = 300*t - 295*t, 2*t = 5*b - 35. What is i in t + u*i**2 - 5/3*i = 0?
0, 5
Let u(p) be the third derivative of -p**8/84 + 8*p**7/7 - 59*p**6/30 + 170*p**2 + 3. Solve u(y) = 0.
0, 1, 59
Let q be -1 - ((-6)/2 + 0). Let u = -179 - -211. Factor -u*o - 36*o - 10*o**q + 2*o**4 - 2*o**3 + 62*o.
2*o*(o - 3)*(o + 1)**2
Factor -1/5*g**3 + 0 + 6*g - 13/5*g**2.
-g*(g - 2)*(g + 15)/5
Suppose -j + 44 = 3*p, -4*j + p = -2*p - 191. Let x be (8/70)/(j/329). Factor x*a**3 + 0*a + 8/5*a**2 + 0.
4*a**2*(a + 2)/5
Let d(i) be the third derivative of i**6/24 + 31*i**5/2 - 625*i**4/8 + 470*i**3/3 + 11*i**2 - 31. Factor d(u).
5*(u - 1)**2*(u + 188)
Let x(f) = f**3 - 13*f**2 + 13*f - 9. Let j be x(12). Let z be (-36)/(-90) + ((-106)/(-10) - 1). Factor 2*d**2 + 4*d**2 + 4*d**j - 2*d**2 + 2*d - z*d.
4*d*(d - 1)*(d + 2)
Suppose -6*k = 3*n - 2133, -4*n + 192 = k - 167. Let t = -355 + k. Solve 3/8*i**4 + 1/8*i**2 + t + 0*i - 3/8*i**3 - 1/8*i**5 = 0 for i.
0, 1
Let w(t) = -2*t**4 + 6*t**3 + 9*t**2 - 5*t + 6. Let z(r) = 7*r**4 - 18*r**3 - 27*r**2 + 18*r - 20. Let h(o) = 10*w(o) + 3*z(o). Factor h(v).
v*(v + 1)**2*(v + 4)
Suppose -2*v - 12 = -5*a, 0 = a + 2*v - 21 + 9. Let n be 23/a + 18/(-24). Determine x, given that 6/5*x**4 + 0*x + 0 + 0*x**3 - 8/5*x**2 + 2/5*x**n = 0.
-2, 0, 1
Let z(m) = 8*m**2 + 9*m - 4. Let y(a) be the first derivative of -2*a**3/3 - a**2/2 + 2*a + 99. Let q(b) = 5*y(b) + z(b). Let q(c) = 0. What is c?
-1, 3
Let l(f) = -34*f**2 - 235*f - 117. Let k(r) = 35*r**2 + 235*r + 130. Let c(v) = -6*k(v) - 5*l(v). Let c(s) = 0. What is s?
-39/8, -1
Let g(b) be the third derivative of 121*b**7/140 + 9691*b**6/20 + 777921*b**5/10 + 70480*b**4 + 25600*b**3 - 5*b**2 - 55*b - 1. Factor g(r).
3*(r + 160)**2*(11*r + 2)**2/2
Let l(g) be the second derivative of -5*g - 9/35*g**5 + 0*g**3 + 0*g**2 + 5/7*g**4 - 14 + 1/70*g**6. Find a such that l(a) = 0.
0, 2, 10
Let s = 75397/25 - 3017. Let u = s + 81/50. Let -1/4*l**2 + 3/4 + u*l = 0. Calculate l.
-1, 3
Let z = -2/4641 - -13943/46410. Let i(f) be the first derivative of 3/4*f**2 + 0*f + 3/2*f**3 + 9/8*f**4 - 41 + z*f**5. Let i(x) = 0. What is x?
-1, 0
Let o(f) = f + 10. Let d be o(-7). Let g = -239 - -242. Find r such that -3*r**g - r**4 - r**5 + 3*r**d + 0*r**3 = 0.
-1, 0
Let u(s) be the third derivative of s**5/360 - 7*s**4/48 - 49*s**3/9 + 9898*s**2. Factor u(l).
(l - 28)*(l + 7)/6
Let b be (4/(-3))/((-1)/3). Let g be 6*1 + 25*(-6)/45. Find l such that 4*l - 16/3*l**3 - g*l**2 + 0*l**b + 8/3 + 4/3*l**5 = 0.
-1, 1, 2
Let o(c) be the third derivative of c**5/75 - 139*c**4/24 - 29*c**3/5 - 1754*c | {
"pile_set_name": "DM Mathematics"
} |
on factor of 22 and g.
11
Let y be ((-4)/(-2) - 0) + -50. Let g be 2/(-10) - y/15. What is the greatest common factor of 1 and g?
1
Let k(i) = -6*i - 10. Let q be k(-4). What is the highest common factor of 70 and q?
14
Let v(n) = -n**3 + 9*n**2 - 9*n - 8. Suppose -k - 14 = -3*k. Let p be v(k). Suppose p = q + 2*q. What is the greatest common factor of 9 and q?
9
Let j be (-1)/3 - 80/(-15). Suppose a - 6*n = -3*n + 44, -2*a + j*n = -84. Calculate the highest common factor of a and 48.
16
Let i(s) = 20*s + 10. Let z be i(5). Calculate the highest common factor of 22 and z.
22
Suppose 0 = -2*q - 2*q + 16, -o + 4*q + 9 = 0. Calculate the highest common factor of 100 and o.
25
Let j(b) = b**2 - 7*b - 7. Let u be j(8). Let l(i) = -2*i - 4 + 3 - u. Let z be l(-7). Calculate the highest common divisor of z and 60.
12
Let b = 10 + -8. Suppose 19 + 13 = -b*r. Let d = -8 - r. Calculate the greatest common factor of 1 and d.
1
Suppose 2*q = -0*q - n + 12, 4 = -4*q + 5*n. What is the highest common factor of 20 and q?
4
Let x(a) = -a**3 + 11*a**2 + a - 14. Let j be x(11). Let b = 2 - j. Suppose 53 + 5 = 3*p - b*l, p = -4*l + 8. What is the highest common factor of 8 and p?
8
Suppose 6*d - 3*d - 17 = -2*u, -4*u = -4*d + 56. Let h(z) = -z + 5. Let f be h(d). Let c be 22/18 - f/(-18). Calculate the highest common factor of 2 and c.
1
Suppose -4*o + 589 = 2*g + 105, -5*g - 110 = -o. Let a = -21 - -45. Calculate the greatest common factor of a and o.
24
Let v = -304 - -479. Suppose 5*a - v = -0*a. Let n(r) = 5*r - 3. Let q be n(2). What is the greatest common divisor of q and a?
7
Let d be (-2 + 2 + 20)*1. Let r be (6/(-12))/((-2)/d). Suppose 0 = -3*l - 3*i + 45, -5*l + r*i + 13 + 12 = 0. Calculate the highest common divisor of l and 90.
10
Let k = -21 + 31. Suppose -5*r = -5*b + k, b - 5 = 4*r + 6. Let c = r + 9. Calculate the highest common divisor of 24 and c.
6
Let b(c) = 5*c. Let q be b(4). Let a = -8 + q. Calculate the greatest common factor of a and 96.
12
Let m(d) = -d**3 - 8*d**2 + 15. Let c be m(-8). Suppose 3*y - 2*y = 30. Calculate the highest common factor of c and y.
15
Let f = 33 - -87. What is the greatest common factor of f and 12?
12
Suppose -3*a + 250 + 65 = 0. Suppose -3*k = 2*k - a. What is the highest common factor of k and 14?
7
Let k be ((-3)/(-2))/((-2)/(-8)). Suppose k = 3*u - 0. Calculate the greatest common factor of 16 and u.
2
Let z(l) = -l**2 - 4*l + 2. Let s be z(-4). Suppose 4*r - 6 = -s. Suppose d - 39 = r. Calculate the greatest common divisor of 20 and d.
20
Suppose 3*u - 9*u = -1680. What is the greatest common factor of 40 and u?
40
Suppose 21 = 3*r - 6*r. Let l be (-48)/8*r/3. What is the highest common divisor of l and 14?
14
Let d be (-4 - -1) + 10 + -7 + 336. What is the greatest common factor of 48 and d?
48
Suppose 0 = 5*x + 5 - 85. What is the highest common factor of 32 and x?
16
Let p(d) = -8*d**3 - d + 2. Let u be p(-2). What is the greatest common divisor of u and 51?
17
Let i be (15/6)/((-3)/(-108)). What is the highest common factor of i and 30?
30
Let h(u) = u - 4. Let n be h(6). Let d be (0 + 7/n)*4. Calculate the highest common divisor of 14 and d.
14
Let k(v) = -v**2 - 8*v + 1. Let b be k(-6). Let o = 147 - 134. Calculate the greatest common factor of o and b.
13
Suppose 0 = 3*f - 1 - 23. What is the highest common divisor of f and 64?
8
Let q = -130 - -198. What is the highest common factor of q and 17?
17
Let q(i) = -i**3 - 3*i**2 + 7*i - 2. Let j be q(-5). Suppose 3*v = 47 + j. Calculate the highest common factor of 4 and v.
4
Suppose -5*o + 4*o - 105 = -3*y, 0 = y - 2*o - 30. What is the highest common divisor of y and 24?
12
Let m be 7/3 + (-8)/6. Calculate the highest common divisor of m and 7.
1
Suppose -8*f = -202 - 54. Suppose -5*q = -q + 28. Let k = q + 11. What is the highest common factor of f and k?
4
Suppose 5 + 1 = 2*g. Suppose g*s + s = -5*w + 329, 2*w = -3*s + 245. Let n = 111 + -102. Calculate the greatest common divisor of n and s.
9
Suppose 8 = -5*d + 28. Suppose -3*s + 28 = -a + 3*a, d*s = 5*a + 45. What is the greatest common divisor of 2 and s?
2
Let q = -128 - -203. Let w be (-1)/(((-6)/100)/3). What is the greatest common factor of w and q?
25
Suppose 0 = -23*y + 27*y - 192. What is the highest common divisor of 120 and y?
24
Let x be (-2)/(-1) + (200 - 2). What is the greatest common factor of x and 40?
40
Let y(i) = 12*i**2 - 3*i - 4. Suppose 4 = 3*v - 5. Let z = 7 - v. Let m be y(z). What is the greatest common factor of m and 16?
16
Let t(y) = y**2 - 15*y + 13. Let a be t(14). Let k be 1 + a + 8 + -3. What is the highest common divisor of 2 and k?
1
Let o be ((-12)/(-10))/((-14)/(-420)). Suppose -40 = -3*i - 2*l - 7, -3*i - l = -o. Calculate the greatest common factor of i and 104.
13
Suppose 25 = -0*f + 5*f. Suppose -5*x + 0 - 4 = -2*b, -5*x = f*b + 60. Let c = -4 - b. What is the highest common factor of c and 44?
4
Let f(h) = -h + 1. Let r(q) = -19*q**2 - 1. Let i(w) = -3*f(w) - r(w). Let v be i(2). Calculate the highest common factor of v and 20.
20
Let q = 33 + -20. Let y be ((-2)/1 - -3)*11. Suppose -q = -2*v + y. What is the greatest common factor of 60 and v?
12
Let i(z) = 2*z**2 - 10. Let a be i(-5). What is the greatest common divisor of 16 and a?
8
Let x(n) = 8*n**3 + 3*n**2 + 3*n + 2. Let y be x(-2). Let t = y + 26. Let b be (0 - t) + 1 + -3. What is the highest common factor of b and 7?
7
Let y(z) = -z**2 - 21*z - 13. Let b be y(-20). Suppose -g - 3*g + 56 = 0. What is the greatest common divisor of g and b?
7
Let z(j) = 15*j**2 - 1. Let a be z(1). Let m(q) = q**2 + 5. Let y be m(-5). Let u = 5 + y. What is the greatest common divisor of a and u?
7
Let b = -116 - -204. What is the highest common divisor of b and 8?
8
Suppose -1286 = -3*n - 5*j, -4*n - 4*j + 2748 - 1028 = 0. Let x be (2/(-4))/((-12)/n). What is the highest common factor of x and 18?
18
Let w be 2/(-5) - (-36)/15. Suppose -v = -4*v. Suppose g - 9 = -2*q - 2*q, q - 2*g = v. Calculate the highest common factor of q and w.
2
Let z be (-11 + 1)*(-18)/10. Calculate the highest common divisor of z and 72.
18
Let t(d) = -d**2 + 7*d + 10. Let v be t(7). Let r(w) = 31*w**3 - w. Let u be r(1). Let z = u + 10. Calculate the greatest common divisor of z and v.
10
Suppose 5*f = 2*g - 177, -4*g - f - 3*f + 396 = 0. Calculate the highest common divisor of g and 6.
6
Let f(j) = -j + 14. Let v be f(7). Suppose -525 = -v*g + 2*g. Suppose 0 = -3*i + 6 + 57. What is the highest common divisor of i and g?
21
Let r = -5 + 10. Let v = r + -3. Suppose -10 = -v*a + a. Calculate the greatest common divisor of a and 4.
2
Suppose 0 = -2*a + 5*m - 0*m - 12, 2*a + m = 0. Let c = 1 - a. Suppose c*l = -l + 108. What is the greatest common divisor of l and 12?
12
Let j(a) = -6*a - 21. Let t be j(-6). What is the greatest common factor of t and 15?
15
Let k = 27 - 5. Suppose 16 = -w + 5*c, 15 = -0*w - w + 4*c. Let l = 22 + w. Calculate the highest common divisor of l and k.
11
Suppose 0 = -3*n + 2*f - 1419, 0 = -0*n + 3*n + f + 1428. Let a = -335 - n. Let p = a - 100. What is the highest common divisor of 4 and p?
4
Let q be (-79 - 2)/(-1) + 0. Let r = -36 + 45. Calculate the greatest common factor of r and q.
9
Suppose -222 = -3*b + 5*n, -n = 4*b + 4*n - 261. What is the highest common divisor of 23 and b?
23
Suppose 3*y - 21 = 4*t - 324, 2*y = -t + 62. What is the greatest common factor of 18 and t?
18
Suppose -31 = -3*v - 13. Suppose -m + 33 = c, -2*m - v - 64 = -2*c. What is the highest common divisor of c and 85?
17
Let j be ((-16)/(-20))/(2/(-10)). Let r = 36 + j. Let c(n) = n**3 - 2*n**2 + 3*n - 2. Let a be c(2). What is the greatest common factor of a and r?
4
Let d = -49 - -19. Suppose -3*r - 4*p - 21 = -p, -9 = -3*p. Let n = r - d. What is the highest common divisor of 5 and n?
5
Suppose 0 = l + 1 - 3. Suppose 0 = -n + l*o + 23, 2*n - 5*o + 20 = 66. Let t = -13 + n. Calculate the highest common divisor of 60 and t.
10
Let f(m) = m**2 + 4*m + 4. Let b be f(-5). Suppose -100 = 8*s - 388. What is the highest common factor of s and b?
9
Suppose -7*j = -2*j + 3*s + 10, -8 = 4*j - 3*s. Let d be (j/2)/1 - -6. Calculate the greatest common divisor of d and 55.
5
Let j be (8/2)/((-6)/(-9)). What is the highest common divisor of | {
"pile_set_name": "DM Mathematics"
} |
-1?
-2.5
Which is the fifth biggest value? (a) 0.2 (b) 161 (c) -5 (d) -3/5 (e) -2/7 (f) -226 (g) -2
g
What is the fifth smallest value in -2, -1/3, -3/80, 3/5, 0.55, -0.2, -4?
-3/80
What is the second smallest value in 1, 0.3, 1316793?
1
Which is the smallest value? (a) -134 (b) 1 (c) 0.4 (d) 4 (e) 17 (f) -1.1
a
Which is the second biggest value? (a) 1/5 (b) -54 (c) -1977.428 (d) 0.3
a
Which is the third biggest value? (a) 1285 (b) 20/9 (c) 0.4 (d) -1/6
c
Which is the fifth smallest value? (a) 2/13 (b) 2/5 (c) 1241/4 (d) 4 (e) -2/7
c
What is the third smallest value in 0.071, -5, 4, 5, 3036, -0.3?
0.071
What is the smallest value in 6/5, -0.4, -1, 2/5, 27.5991?
-1
What is the fourth biggest value in 75.4, 48, -2/5, 90, -2?
-2/5
What is the fifth smallest value in -1, 177, -1.25, 8, 6, 0.2?
8
What is the third biggest value in -573/5, 3/5, 357/2?
-573/5
Which is the third biggest value? (a) 13.9 (b) -3 (c) 2/23 (d) 372.8
c
What is the second smallest value in -65.98716, -1/2, -0.3?
-1/2
Which is the third biggest value? (a) 8.029 (b) -38.6 (c) 5 (d) 2
d
What is the second biggest value in 0.29, 3, 0.02, -17, 126.53?
3
Which is the biggest value? (a) 137 (b) 0 (c) -2/7 (d) -11921
a
Which is the smallest value? (a) -12/7 (b) 109.3 (c) -0.04 (d) 3 (e) -1/28
a
What is the biggest value in 135, 40, -0.057?
135
Which is the second smallest value? (a) -0.5 (b) -0.4 (c) -1.577 (d) 0.08 (e) 0.03
a
What is the biggest value in 211.32, 6/457, 1?
211.32
Which is the third smallest value? (a) 17 (b) 0.3 (c) -20917 (d) 8
d
Which is the third smallest value? (a) 9/10 (b) -108416 (c) 1/4
a
Which is the fourth biggest value? (a) -3/2 (b) 0.3 (c) 3 (d) -2 (e) -69 (f) 5 (g) -521
a
What is the fourth biggest value in 5.6, -5, 39971, 3?
-5
Which is the seventh biggest value? (a) -4 (b) 4 (c) 1 (d) 2399 (e) -1 (f) -2/7 (g) 55
a
Which is the biggest value? (a) 476/25 (b) -401 (c) 0.2
a
What is the third biggest value in -45, -0.4051, 3?
-45
Which is the seventh smallest value? (a) 28 (b) -2/11 (c) -10 (d) 1 (e) -1/6 (f) -4 (g) 0.4
a
Which is the second smallest value? (a) -16 (b) 0.14219 (c) -4 (d) -0.09
c
Which is the fourth smallest value? (a) 0.1 (b) 0 (c) 340 (d) 20 (e) -2/7 (f) -0.3
a
What is the second biggest value in -1.1, 115, 2063?
115
Which is the third biggest value? (a) -509394 (b) -1 (c) -17
a
Which is the biggest value? (a) -1 (b) -9244 (c) 2/9 (d) 0.09
c
What is the third smallest value in 3/371, 5331, 1?
5331
Which is the seventh smallest value? (a) -12/23 (b) -1.1 (c) -8 (d) 0.2 (e) 5 (f) -0.2 (g) 0.7
e
What is the fifth smallest value in 0.002, 0.3, 9/5, 17, 2, -0.2, 5?
2
What is the fourth smallest value in 0.2, -1/98, 2/35, -0.016, 0.5, 5?
0.2
Which is the smallest value? (a) -4 (b) 3.14 (c) 3281 (d) 0.03
a
What is the second smallest value in 5, -0.4, 1/14, -655.38, 0.3?
-0.4
What is the second biggest value in 0.2, 18, -0.5, 0.4, -5, 5, 107?
18
Which is the biggest value? (a) -76064 (b) -3/5 (c) 2/19
c
What is the third smallest value in -163, -16, -1076, 5/6?
-16
What is the second smallest value in 5, 0.4, 9760.155?
5
What is the fourth biggest value in 6, -2/9, -5, -3/12190, 1, -0.1, -1?
-0.1
What is the smallest value in -54/5, -2/263, 10/177, -4?
-54/5
Which is the sixth biggest value? (a) 3/7 (b) -1 (c) -11/5 (d) 941 (e) 2/7 (f) -0.3
c
Which is the second biggest value? (a) 4018 (b) -2 (c) 0.04 (d) 0.1 (e) 4
e
What is the fourth biggest value in -5, 0, 2580, -0.1, -3?
-3
Which is the fourth biggest value? (a) 2 (b) 0.6 (c) -6/7 (d) -40175/3
d
What is the smallest value in -129/4, 13/2683, -1?
-129/4
Which is the third smallest value? (a) 1336 (b) 657 (c) -7/6
a
What is the biggest value in -2/37, -46, -2/351, -33, 0.1?
0.1
What is the fourth biggest value in -4, -273, 121, -7?
-273
Which is the second biggest value? (a) 49 (b) 8518 (c) -4/5 (d) 3
a
What is the fifth smallest value in -1, 1, -3/7, 2, -229/8, -2/13?
1
Which is the third smallest value? (a) -16 (b) -7/6 (c) 1/3 (d) -0.17 (e) -2/19 (f) -0.1 (g) -2/3
g
What is the third smallest value in 1.2406, -0.4, -0.5, 1/393?
1/393
Which is the sixth smallest value? (a) -4 (b) 1 (c) 0.3 (d) 0 (e) 2.4 (f) -8 (g) -0.057
b
Which is the third smallest value? (a) -4 (b) 1/328 (c) 0.2 (d) 1 (e) -63
b
What is the sixth smallest value in -0.24, 2, -415, 0.14, 5, -0.2, -2?
2
What is the third smallest value in -2462, 0.3, 2, 0.113?
0.3
Which is the fourth smallest value? (a) 5 (b) -5096/43 (c) -519 (d) 3
a
Which is the second biggest value? (a) -3/2 (b) 4 (c) 25 (d) 1/9244
b
Which is the sixth smallest value? (a) 2 (b) 1 (c) -2/27 (d) -1/7 (e) -2/3 (f) 93693 (g) 0.2
a
Which is the third biggest value? (a) 0 (b) -2/5 (c) -20662
c
Which is the fourth smallest value? (a) 16 (b) -0.4088 (c) 0.06 (d) 0 (e) -9 (f) -3/2
d
Which is the biggest value? (a) 2/3 (b) -3 (c) -6/13 (d) 0.2 (e) 4372 (f) 2
e
What is the sixth biggest value in 0, 0.3, -5, 3/1247, -9, 1/6?
-9
Which is the fourth biggest value? (a) 1/18808 (b) -2/29 (c) -28 (d) 0.3 (e) 0.03
b
What is the seventh smallest value in -1/1085, 5, -5, -3, 37, -0.2, 0.1?
37
Which is the third biggest value? (a) -23962 (b) -1.5 (c) -4 (d) -1/4 (e) 0.3 (f) 1/3 (g) 1/5
g
What is the fourth smallest value in 19, 0.4, -0.74, 31931?
31931
Which is the biggest value? (a) 123 (b) -2/9 (c) 0.3 (d) -2/7 (e) 1/6 (f) 58 (g) -2/3
a
Which is the sixth biggest value? (a) -7662 (b) 1/18 (c) 0.5 (d) 2/17 (e) 3 (f) -3 (g) -0.4
f
What is the fifth smallest value in 24/251, 2/3, -2/15, 14, -4, -6/13, -2?
24/251
What is the third smallest value in -60779, -0.17, 4/3?
4/3
Which is the second smallest value? (a) 0.15 (b) 87 (c) -9291
a
Which is the sixth smallest value? (a) 1 (b) 3/17 (c) -5 (d) -0.32 (e) 65 (f) 1/3 (g) 3
g
What is the sixth smallest value in 0.2, 50, 5, -11, -88, -0.2, 1?
5
What is the fourth biggest value in -0.3, 0.2, -16.15, 3, 0, -6?
-0.3
Which is the fourth biggest value? (a) 0.1 (b) -34.423 (c) -27 (d) -3/7
b
What is the third biggest value in 13, -104, 0.65, -2?
-2
Which is the third smallest value? (a) -1 (b) 5 (c) -0.6 (d) -1/2 (e) 4.4 (f) 231 (g) -1/6
d
Which is the sixth biggest value? (a) 2/5 (b) -6 (c) -2/7 (d) -5 (e) 0.36 (f) -355
f
What is the fourth smallest value in 1326, -78/17, 1/2, 48/11?
1326
What is the biggest value in 78, -3, 1.4, 22/111, -3/7?
78
What is the second smallest value in -19/2, 0.19, 286/9?
0.19
Which is the smallest value? (a) 31794 (b) -9 (c) -0.05
b
Which is the third biggest value? (a) 18 (b) -0.3 (c) -5 (d) -0.4 (e) -8594 (f) -0.8
d
What is the fourth biggest value in 1.1, -3041, -1, -4?
-3041
What is the second smallest value in -4/7, 13196, 5.3?
5.3
What is the second biggest value in 1/2308, -1/9249, -1/27?
-1/9249
Which is the third biggest value? (a) 3 (b) -43 (c) 2 (d) -4 (e) -10 (f) -72/7 (g) -5
d
Which is the biggest value? (a) -17785 (b) 4/3 (c) 13 (d) 45
d
Which is the second biggest value? (a) 1220 (b) 30855 (c) -2/5
a
Which is the third smallest value? (a) -3 (b) -56 (c) 5 (d) 0.23741 (e) -2/9
e
Which is the fifth smallest value? (a) 23/3 (b) -2 (c) 8/11 (d) -2/19 (e) 0
a
What is the biggest value in 0.7, 2/15, -3/28, -1/2, -0.6, 2/37, 1/4?
0.7
What is the sixth smallest value in 0, -1/3, 225, -0.5, -0.2, -15/17, 0.1?
0.1
Which is the fourth biggest value? (a) 2 (b) -331 (c) 4 (d) -6 (e) 37 (f) -5
f
What is the fifth biggest value in -1, -3, -1/3, -26, 0.58, 1/39?
-3
What is the fourth smallest value in -5/2, -28, 0, -0.5, -0.3, -0.09, -0.4?
-0.4
What is the second biggest value in -7/34, 0.3, -2.0682, -2?
-7/34
Which is the fifth smallest value? (a) 0.2 (b) 0.7 (c) -6/37 (d) 93 (e) 9
d
What is the fourth biggest value in -6, -340, -1179, -11?
-1179
What is the fourth biggest value in 3/7, -5, 0, 3841, -3, 2/27?
0
Which is the fifth biggest value? (a) 2/17 (b) -0.4 (c) 4 (d) 0 (e) -3216 (f) -10 (g) -18
f
What is the fourth biggest value in -66, -12, 0.053, 0.4, -1/7, 0.7?
-1/7
What is the seventh biggest value in -0.2, 19, 3 | {
"pile_set_name": "DM Mathematics"
} |
- 524, 0 = 3*o + j - 530. Let q = -114 + o. What is the tens digit of q?
6
Suppose 0 = -0*k + 7*k - 13482. What is the units digit of k?
6
Let w(y) = -3*y - 20. Let h be w(-18). Suppose -2*k + 2*o + 88 = 0, 2*k = k - o + h. What is the tens digit of k?
3
What is the units digit of (-8310)/(-12) + 14/4?
6
Suppose 0 = 6*h + 269 + 4723. Let i = -548 - h. What is the tens digit of i?
8
Suppose 0*a - 4*a + 248 = 0. Let k = a + -44. What is the units digit of k?
8
Let k(t) = -3*t**3 + 3*t**2 - 10*t + 3. What is the units digit of k(-6)?
9
Let a(y) = -14*y + 3*y**2 - 8*y**2 - 8 + 4*y**2. What is the units digit of a(-10)?
2
Suppose -5*v - 42 + 2 = 0. What is the units digit of (v/2 - -3)*-118?
8
Suppose 19 = 5*o - 1, 0 = 4*d - 2*o - 3232. What is the units digit of d?
0
Let q(l) = 4*l + 26. Let p be q(-6). Suppose -o = p*o, w = -3*o + 136. What is the tens digit of w?
3
Let v = -2444 - -4928. What is the tens digit of v?
8
What is the tens digit of (-1851)/(-15) - (-3 + (-34)/(-10))?
2
Suppose 2768 = 21*l - 17*l. Let w be l/20 - (-4)/10. Suppose -r + 6*r = w. What is the units digit of r?
7
Let f = -905 + 1344. What is the tens digit of f?
3
Let b = 214 + -208. Let x(p) = 7*p**2 - p**3 + 6 + 0*p**2 - 14 - 3*p. What is the tens digit of x(b)?
1
Let q be (-13)/(-2) - (-1)/(-2). Suppose 14*w + 891 = 23*w. Suppose q - w = -3*f. What is the units digit of f?
1
Suppose 0 = -5*h + 12 + 8. Let w(r) = -r**2 + 5*r. What is the units digit of w(h)?
4
Let c(r) = 18*r**2 - 6*r + 10. Suppose 2*f + 4 + 8 = -4*t, -1 = f + t. What is the tens digit of c(f)?
7
Suppose 2*p - 40 = -3*p. Let v be (100/p + 4)*2. Let i = v - -25. What is the tens digit of i?
5
Let b(p) = 18 + 5*p + 0*p - 30. What is the units digit of b(4)?
8
Let v = 201 + -199. Let u be 2/(-4) - 22/(-4). Suppose v*g - u = -z, z = 3*z - 5*g - 37. What is the units digit of z?
1
Let b(f) = f**3 + 3*f**2 - 2*f - 3. Let n be b(-3). Let k be -1 + 5 - (-11 + 15). Suppose k = n*r - 4*r + 14. What is the tens digit of r?
1
Let p(o) = -4*o + 1. Let h be p(4). Let n = -14 - h. What is the units digit of (-1*13)/(n/(-2))?
6
Let y be 2*(1 + (-21)/6). Let d be y/((-5)/(-19)) + -1. Let t = d + 41. What is the tens digit of t?
2
Let i(q) = -2*q + 3. Let s(l) = -l. Let o(d) = i(d) - 3*s(d). Suppose -v = -11 + 7. What is the units digit of o(v)?
7
Let d = 49 + -47. Suppose -5*p = -3*s - 457, 0*p + d*p = -4*s + 188. What is the units digit of p?
2
Let v(w) = -w**2 - 27*w + 10. Let f be v(-19). What is the hundreds digit of 2522/9 + (-36)/f?
2
Let t(m) = m**2 - 10*m + 2. Let h be t(10). Suppose -h*d - n = -4*d - 44, 2*d + 60 = 5*n. What is the tens digit of 2*(-4)/(-4) - d?
2
Let i be (-146)/(-6) + 2/(-6). Let c = 37 - i. Suppose c*v + 105 = 18*v. What is the tens digit of v?
2
Let w(g) = g**3 + g**2 - 3*g + 2. Let m be w(0). What is the tens digit of 21/m*(-8)/36*-21?
4
Let z be 4 + 0 + -3 - -43. What is the tens digit of -2 + (z - 3 - 2)?
3
Let k(t) = -4*t**3 + 2*t - 1. Let s be k(1). What is the tens digit of (s + 76/20)*55?
4
Let t(y) = -y**3 - y**2 + 4*y + 1. Let o be t(2). What is the units digit of 3 - 2*(20/(-8) - o)?
2
Let j(t) be the first derivative of -t**4/4 - 2*t**3 + 3*t**2 - 9*t - 19. What is the tens digit of j(-8)?
7
Suppose -3*c - 7 + 22 = 0, 0 = 3*d + 3*c + 21. Suppose -5*z = -1 + 86. Let y = d - z. What is the units digit of y?
5
Let t(p) = p - 13. Let a be t(-13). Let y = -26 - a. Let j(h) = -h**3 - h**2 - 2*h + 48. What is the units digit of j(y)?
8
Let o(f) = f**3 + 6*f**2 - f - 2. Let q be o(-6). Suppose 0 = -7*v + q*v + 231. What is the units digit of v?
7
Suppose 3*i + 43*i - 11822 = 0. What is the units digit of i?
7
Suppose -10*s - 521 = -9231. What is the units digit of s?
1
Let y(x) = -6*x - 12. Let g be y(-4). Let r(z) = -z**3 + 14*z**2 - 19*z + 13. What is the units digit of r(g)?
3
Let p(o) = -o + 166. Let r be p(0). Suppose 2*l + x - 84 = 0, 2*l = -2*l - 3*x + r. What is the units digit of l?
3
Suppose 546 = 5*g - 1339. What is the hundreds digit of g?
3
Suppose v - 8 = -3*v. Suppose -v*r = -4*p - 109 + 27, 0 = r + 4*p - 53. What is the tens digit of r?
4
Let d(u) = u**3 + 6*u**2 - 3*u - 15. Let v be d(-6). Let q be 477/v + 0 + 0. Suppose -3*a = -2*n + 77, -a + 0*a = -4*n + q. What is the units digit of n?
0
Let g = -116 + 537. What is the hundreds digit of g?
4
Let h = 3067 + -1539. What is the units digit of h?
8
Let q = -215 + 132. Let r = q - -148. What is the tens digit of r?
6
Let q = -21 + 9. Let k be 1/4 - 597/q. Let s = -27 + k. What is the tens digit of s?
2
Let r(g) = 226*g + 3. What is the tens digit of r(4)?
0
Let h(f) = f**2 - 14*f + 36. Let x be h(9). Let i(c) = -c**2 - 14*c + 12. What is the tens digit of i(x)?
5
Let h = 51 - 143. Let i = h + 178. What is the units digit of i?
6
Let y(s) = -s**2 + 6*s + 11. Let r be y(-11). Let k be r/(-10) - (-2)/5. What is the units digit of ((-24)/k)/((-2)/27)?
8
Let q be (3*(-122)/4)/((-13)/(-26)). What is the hundreds digit of (q/(-12))/((-2)/(-16))?
1
Let r(d) = d**3 + 15*d**2 - 7*d + 6. Suppose q + 2*q + 49 = -i, 2*i = q + 7. What is the hundreds digit of r(q)?
1
Suppose 16*h - 15 = 13*h. Suppose n - 5*r = -8, h*n - n = -5*r + 18. Suppose 0 = 5*i + n - 7. What is the units digit of i?
1
Let q(r) = r**2 + 16*r - 16. What is the hundreds digit of q(-46)?
3
Let m(q) = 6*q - 49. Let o be m(9). Suppose 0*p + p + 4*u = 211, 1007 = o*p - 4*u. What is the tens digit of p?
0
Suppose z = -2*k + 2563, -8*z - 2583 = -9*z + 2*k. What is the thousands digit of z?
2
Let g(o) = 3*o**2 + 28*o + 116. What is the tens digit of g(-28)?
8
Let v = 14 - 26. Let l = v - -79. What is the units digit of l?
7
Suppose 4*o - 24 = 5*g, -o + 2*g + 3*g = -21. Let j be ((-1)/3)/(o/(-6)). What is the units digit of 1 - j - (-28)/2?
3
Let l be (-403)/(-7) - (-15)/35. Suppose 2*i + 5*c = 48, -c + l = 5*i - 4*c. What is the units digit of (-1)/1 + i + 3?
6
Suppose 0*v - 3*v = -4*m - 517, 0 = m + 1. Let k = 240 - v. What is the tens digit of k?
6
Suppose -28*y - 4*j = -25*y - 5131, y + 4*j = 1721. What is the thousands digit of y?
1
Let b be 338/8 + 1/(-4)*1. Suppose 3*c = c + 30. Suppose -4*t = t - c, -3*l + b = -t. What is the tens digit of l?
1
Let o(i) = 142*i**2 + 2*i. Suppose -3*f = -8*f + 3*d - 2, 2*d + 2 = 0. What is the tens digit of o(f)?
4
Let v = -218 - -628. What is the tens digit of v?
1
Suppose 4*q = -n - 12 + 8, 5*n - q + 62 = 0. What is the units digit of ((-6)/n)/(1/250)?
5
Suppose -96 = -16*m + 13*m. Let s = m - 26. What is the units digit of s?
6
Let d(n) = -n + 19. Let t(o) = 20. Let j(m) = -4*d(m) + 3*t(m). Let i be j(5). Suppose -i*v + 15 = -17. What is the units digit of v?
8
Suppose 0 = 5*h + 4*l + 159 + 251, l = 0. Let r = h + 122. What is the tens digit of r?
4
Suppose f + 7 = -3*f - l, -5*l - 11 = -4*f. Let j = f - 2. What is the units digit of (-1)/(j + (-248)/(-84))?
1
Suppose -3*w - 4*r + 5176 = -7557, -r + 16999 = 4*w. What is the tens digit of w?
5
Suppose -18*z + 8*z = 50. What is the units digit of (33/6 + z)*86?
3
Let t(s) be the first derivative of -s**3/3 - 25*s**2/2 - 7*s - 5. What is the units digit of t(-19)?
7
Let i = -5 - -5. Suppose -7*v = -2*v + 20, -2*h + v = i. What is the units digit of (3 + (-7)/1)/h?
2
Suppose 0 = -5*g + 3*i + 3447, i = 9*g - 10*g + 683. What is the hundreds digit of g?
6
Let t = 11 + 3. Let c(r) = r + 19. What is the tens digit of c(t)?
3
Let f = 927 - 325. What is the tens digit of f?
0
Let h(u) = 46*u + 11. Let w be h(5). Let g be w/7 - 21/49. What is the tens digit of 1/((7/g)/7)?
3
Suppose -20*f + 24*f + 20 = 0. What is the tens digit of -1 + 1 + f + 4 + 32?
3
Let c(n) = -n + 6. Let d be c(2). Suppose -d*s + 54 = 34. What is the units digit of s?
5
Let c(r) be the first derivative of -r**4/2 - 2*r**3 - r**2 + 2. Let p be c(-4). Let q = p - 26. What is the units digit of q?
4
What is the units digit of (-32292)/(-52) + (1*-3 - 1)?
7
Let z = -444 + 1036. What is the tens digit of z?
9
Suppose -4*u + 4 = 5*o, -3*u = 2*o - u. Suppose -263 = -o*j + 129. What is the tens digit of j?
9
Let f = 516 + -197. What is the tens digit of f?
1
Let b(y) = 0*y - 94 + 9*y + y**2 + 123. What is the units digit of b(-11)?
1
Suppose f - 6*f + 40 = 0. Suppose -f*b = -223 - 177. What is the units digit of b?
0
Let g(w | {
"pile_set_name": "DM Mathematics"
} |
etters picked without replacement from {q: 5, s: 3}. Give prob of sequence qqs.
5/28
Four letters picked without replacement from {j: 2, r: 2, m: 2}. Give prob of sequence rmrm.
1/90
Four letters picked without replacement from {b: 4, l: 1, f: 2, k: 2, s: 7}. What is prob of sequence lssf?
1/520
Four letters picked without replacement from {o: 4, s: 7, l: 2, p: 1}. What is prob of sequence opss?
1/143
What is prob of sequence ee when two letters picked without replacement from yyyeyeyyeeeeeyyyee?
4/17
Calculate prob of sequence kaj when three letters picked without replacement from ajoaoakakkooa.
5/572
Calculate prob of sequence ooo when three letters picked without replacement from {o: 5, k: 5}.
1/12
Three letters picked without replacement from {u: 7, j: 1, o: 6, v: 1, f: 2}. Give prob of sequence uoo.
7/136
Four letters picked without replacement from reelerverl. What is prob of sequence ellv?
1/630
Four letters picked without replacement from pyppzzzetptd. What is prob of sequence zzde?
1/1980
Two letters picked without replacement from ygytigiytgkgytdki. Give prob of sequence ky.
1/34
Two letters picked without replacement from {g: 1, l: 2, o: 3, i: 5, q: 1}. What is prob of sequence lq?
1/66
Calculate prob of sequence aia when three letters picked without replacement from {a: 2, i: 7}.
1/36
Calculate prob of sequence dfu when three letters picked without replacement from {b: 1, o: 1, f: 2, d: 4, u: 6, l: 1}.
8/455
Four letters picked without replacement from hcchcchhccc. What is prob of sequence hccc?
7/66
Three letters picked without replacement from yray. What is prob of sequence yra?
1/12
What is prob of sequence att when three letters picked without replacement from awwawtawwt?
1/120
Calculate prob of sequence aaz when three letters picked without replacement from akakakzzk.
1/42
Two letters picked without replacement from {g: 1, x: 2, a: 1, u: 3, s: 4, t: 4}. Give prob of sequence gx.
1/105
Calculate prob of sequence aav when three letters picked without replacement from {a: 2, v: 4}.
1/15
Four letters picked without replacement from mlmmllzzl. Give prob of sequence llzl.
1/63
Two letters picked without replacement from {s: 3, o: 2, f: 4}. What is prob of sequence fo?
1/9
Two letters picked without replacement from {h: 5, n: 3}. Give prob of sequence hh.
5/14
Calculate prob of sequence qm when two letters picked without replacement from qrrrm.
1/20
Three letters picked without replacement from {x: 5, s: 1, v: 4, r: 1, c: 3}. What is prob of sequence vrx?
5/546
Two letters picked without replacement from yppppppppyyppyppyp. What is prob of sequence yy?
10/153
Calculate prob of sequence fhff when four letters picked without replacement from hhhfhhfffh.
1/35
What is prob of sequence dqqs when four letters picked without replacement from qqqqdqsssqqdqs?
8/429
Calculate prob of sequence siih when four letters picked without replacement from {s: 5, a: 2, x: 1, h: 2, i: 6}.
5/728
Two letters picked without replacement from gvyccgc. What is prob of sequence cy?
1/14
Two letters picked without replacement from {c: 1, w: 1, i: 1}. Give prob of sequence ic.
1/6
Four letters picked without replacement from pswthpwwphpcp. Give prob of sequence shwt.
1/2860
Four letters picked without replacement from jjvvvjjjjvjjvjjj. Give prob of sequence vvjv.
11/728
Calculate prob of sequence bl when two letters picked without replacement from wljlyybybb.
1/15
Two letters picked without replacement from khhookhkkohkkho. What is prob of sequence ko?
4/35
What is prob of sequence wqgg when four letters picked without replacement from {w: 2, q: 3, n: 4, g: 2}?
1/660
Two letters picked without replacement from {m: 1, i: 2}. What is prob of sequence ii?
1/3
Four letters picked without replacement from vivvqvvvvvqvvigv. What is prob of sequence gviv?
11/2184
Three letters picked without replacement from xzzzzzeygzzgzgxzgg. What is prob of sequence yxz?
1/272
Three letters picked without replacement from {v: 9, w: 2}. Give prob of sequence wwv.
1/55
What is prob of sequence wl when two letters picked without replacement from {j: 1, l: 1, i: 1, w: 1, o: 1}?
1/20
Three letters picked without replacement from {b: 1, h: 4, e: 4, x: 2, z: 5}. What is prob of sequence eee?
1/140
Three letters picked without replacement from {d: 2, p: 8, l: 2, h: 2, i: 5}. What is prob of sequence hhi?
5/2907
Four letters picked without replacement from {t: 3, z: 6, m: 2, i: 2, p: 2}. Give prob of sequence imti.
1/2730
Two letters picked without replacement from tdpttiti. What is prob of sequence tp?
1/14
Four letters picked without replacement from {m: 7}. Give prob of sequence mmmm.
1
Two letters picked without replacement from {u: 1, s: 1, g: 1, h: 1, q: 2, c: 1}. What is prob of sequence sq?
1/21
Two letters picked without replacement from mammmtiiniim. What is prob of sequence tn?
1/132
Three letters picked without replacement from {o: 2, h: 1, w: 1, i: 6, y: 8, j: 2}. Give prob of sequence oyo.
2/855
Calculate prob of sequence ebbe when four letters picked without replacement from {b: 3, e: 12}.
11/455
Two letters picked without replacement from {d: 4, h: 2}. What is prob of sequence dd?
2/5
What is prob of sequence lk when two letters picked without replacement from {l: 1, r: 1, o: 2, q: 3, k: 3, f: 2}?
1/44
What is prob of sequence vzz when three letters picked without replacement from vzzzzvzzzzzvzv?
15/91
Three letters picked without replacement from {f: 6, c: 1, k: 2, u: 1, n: 2}. What is prob of sequence nnu?
1/660
Calculate prob of sequence jzz when three letters picked without replacement from {j: 5, z: 7, h: 1, a: 1, q: 1}.
1/13
Four letters picked without replacement from {k: 1, w: 1, g: 1, e: 1, s: 1}. Give prob of sequence ekwg.
1/120
What is prob of sequence ho when two letters picked without replacement from rxrxrhrhrxbho?
1/52
Three letters picked without replacement from {d: 2, z: 5}. Give prob of sequence dzz.
4/21
Calculate prob of sequence tm when two letters picked without replacement from tsststsmssttts.
3/91
Two letters picked without replacement from {p: 2, b: 1, v: 1, a: 1}. What is prob of sequence pa?
1/10
Three letters picked without replacement from {d: 4, m: 5, b: 3, k: 4}. What is prob of sequence ddd?
1/140
What is prob of sequence xav when three letters picked without replacement from {b: 1, v: 2, x: 2, a: 1, h: 1}?
2/105
Calculate prob of sequence ob when two letters picked without replacement from {l: 1, b: 1, o: 2}.
1/6
Three letters picked without replacement from gxxgggxgggg. Give prob of sequence ggx.
28/165
Two letters picked without replacement from kfxpj. What is prob of sequence jf?
1/20
Three letters picked without replacement from {b: 3, m: 1, s: 3, y: 1, d: 2}. Give prob of sequence bmd.
1/120
Four letters picked without replacement from rjscbcjfr. Give prob of sequence sjbj.
1/1512
Two letters picked without replacement from qkkqkaqkmaqkqmqqnkk. Give prob of sequence nm.
1/171
Two letters picked without replacement from {j: 4, l: 1, f: 3}. Give prob of sequence jf.
3/14
Four letters picked without replacement from ibbpbpw. What is prob of sequence pbww?
0
Three letters picked without replacement from {z: 13, b: 5}. Give prob of sequence bbz.
65/1224
Two letters picked without replacement from {z: 4, u: 2, y: 7}. Give prob of sequence zz.
1/13
Calculate prob of sequence ngg when three letters picked without replacement from {l: 1, r: 2, n: 5, g: 8}.
1/12
Two letters picked without replacement from qqqqqquuuqqquqquqqq. Give prob of sequence uu.
10/171
What is prob of sequence hhh when three letters picked without replacement from {h: 4, r: 2}?
1/5
Four letters picked without replacement from {j: 1, e: 3, v: 4, l: 2, r: 4}. What is prob of sequence ejre?
1/1001
Calculate prob of sequence ww when two letters picked without replacement from {w: 7}.
1
What is prob of sequence nlne when four letters picked without replacement from yznylyyne?
1/1512
Four letters picked without replacement from nstsmnstsmmsm. Give prob of sequence sttm.
1/429
Calculate prob of sequence ce when two letters picked without replacement from {c: 5, e: 7}.
35/132
Two letters picked without replacement from {r: 1, v: 2}. Give prob of sequence rv.
1/3
Two letters pic | {
"pile_set_name": "DM Mathematics"
} |
- 110 = 2*s, -5*s = -4*n + 165 - 46. Suppose 5*j = 15, -2*j - 24 = -4*l + n. Does 7 divide l?
True
Let o(c) = 2*c. Let u(m) = 3*m. Suppose -s + 3*s - 2 = 0, -2*w = 5*s + 5. Let i(q) = w*o(q) + 3*u(q). Is i(-5) a multiple of 5?
True
Suppose 0 = 3*a - o - 248, -2*o - 81 = -6*a + 5*a. Is 27 a factor of a?
False
Let d = 189 - 167. Does 11 divide d?
True
Suppose 4*l - 24 = -2*u, -4*l + 4*u + 8 + 16 = 0. Suppose l*d + 63 = 9*d. Is d a multiple of 4?
False
Let s = -15 - -14. Is 10 a factor of (-3 - -26) + s + 1?
False
Let y(n) = -n**2 - 3*n - 2. Let x be y(-2). Suppose -5*m = 4*t - 16, -9 - 8 = -4*m + t. Suppose x = -w + 18 + m. Does 11 divide w?
True
Let t be 2/(3/(-2 + 5)). Let k(d) = d - 2. Let i be k(t). Suppose 27 = 2*c - 3*l, -c + 24 = -i*c - 5*l. Is 7 a factor of c?
False
Suppose -m + 69 + 57 = 3*p, 5*p = -5*m + 220. Is 2 a factor of p?
False
Is 2/(-3) - (-137)/3 a multiple of 7?
False
Let n be (-132)/(-30) - 4/10. Suppose -2*c - n*w = 0, w - 60 = -5*c + 3*w. Is ((-4)/c)/(4/(-320)) a multiple of 16?
True
Let k = 6 + -3. Let m be 10/k + 3/(-9). Suppose m*a = -c + 2, -c - 3*c = -2*a - 50. Is 11 a factor of c?
True
Suppose -6*o + 636 = -0*o. Does 21 divide o?
False
Let l(z) = 3*z - 16. Let c be l(-10). Let r = -26 - c. Is 20 a factor of r?
True
Is -4 - 7/(7/(-66)) a multiple of 18?
False
Suppose 3 = 2*i - a, 2 + 1 = 3*a. Suppose 0 = i*f - x - 20, 4*f - 12 = 2*f - 3*x. Does 3 divide f?
True
Suppose 3*n - 2*v + 10 - 35 = 0, -2*n - 3*v - 5 = 0. Suppose 0 = 5*r - n. Let d = 10 + r. Is d a multiple of 11?
True
Let f(u) = u**2 + 4*u + 3. Let l be f(-4). Suppose -2*k + 301 = l*w, -2*k = -w - 3*w + 378. Is w a multiple of 25?
False
Let n(w) = -w**2 - 5*w + 12. Let y be n(-10). Let g = y + 60. Is g a multiple of 6?
False
Let l(w) = w**3 - 11*w**2 + 14*w. Does 8 divide l(10)?
True
Suppose 0 = 3*u + 64 + 20. Let i = 10 - u. Is 14 a factor of (1/(-1))/((-1)/i)?
False
Suppose -r - 43 = -2*x, -5*x - 6*r + r + 115 = 0. Is 4 a factor of x?
False
Let b = -21 - -10. Suppose 2*z + 2*a - 52 = -2*z, -5*z + 5*a = -50. Let x = z - b. Is 8 a factor of x?
False
Let c be (-134)/(-11) + 6/(-33). Suppose 6*y - c = 2*y. Suppose -2*p = -y*r + 38 + 62, p + 101 = 3*r. Is 13 a factor of r?
False
Let l = -64 - -155. Is 18 a factor of l?
False
Let j(f) = 5*f**3 - f**2 - f + 1. Let n be j(1). Suppose -3*g - 87 = -n*k, 2*k - 4*k = -2*g - 44. Does 9 divide k?
False
Suppose 6*k - 330 = -0*k. Does 11 divide k?
True
Suppose -4*u + 11 = g, 3*g - 3 = 4*u - 18. Let a(f) = -u + 2*f - 3*f - 2*f**3 - 3*f**2 - f + 4*f. Is a(-3) a multiple of 9?
True
Let j(s) = -s**2 - 9*s - 6. Let u be j(-8). Suppose -d = 5*p - 0*d - 271, 160 = 3*p - u*d. Is p a multiple of 18?
True
Suppose -4*v + 12 = 4. Suppose -3*t + 5*h = -113, v*t + 3*h - 54 = h. Is t a multiple of 7?
False
Let q = -27 - -33. Is 5 a factor of q?
False
Is 15 a factor of 28253/209 - ((-2)/(-11) - 0)?
True
Let s(m) = -15*m - 5. Is 5 a factor of s(-2)?
True
Let u(h) = -h - 3. Let b be u(-3). Suppose 5*i - 5*f = i + 229, b = -4*i - f + 223. Is i a multiple of 14?
True
Suppose -3*i = -i - g - 13, 5*i + 3*g = 5. Suppose 0 = i*m - 9*m - 4*u + 228, -4*u = -8. Is m a multiple of 12?
False
Suppose -80 = 3*d - 7*d. Suppose -3*b - d = -5*b. Is b a multiple of 7?
False
Let s(m) = -3*m + 8. Let j be s(6). Does 4 divide 18*(j/4)/(-5)?
False
Suppose 0 = -n - q + 5 + 24, -5*n + 138 = -2*q. Does 14 divide n?
True
Does 4 divide 6/(-45) - (-1868)/60?
False
Let l(u) = -u**3 - 7*u**2 + 3*u + 5. Let o be l(-6). Let p = 123 - 44. Let v = o + p. Is 13 a factor of v?
False
Let l(o) = -3*o. Let d be l(-1). Let y(a) = 2*a**2 + 3*a + 7. Let k be y(-7). Suppose -d*g + k = g. Is 14 a factor of g?
False
Suppose 5*k = -2*o - 151, 0 = 2*k - 6*o + 2*o + 46. Let m = -7 - k. Does 22 divide m?
True
Let t = -6 + 6. Suppose -5*j + 3*c + 250 = t, -6*j + 3*j + 2*c + 149 = 0. Is 20 a factor of j?
False
Suppose -4*f + 20 = 3*t - 2*f, 2*f + 10 = 2*t. Suppose 2*s = s + t. Let z = s + 8. Does 7 divide z?
True
Let y = 11 - 1. Is (-5)/y + (-25)/(-2) a multiple of 12?
True
Let o be (-65)/13 + 0 + -1. Suppose -23 = 2*u + 3*u - 2*m, 5*m = 3*u + 29. Is 26 a factor of 13*8/(o/u)?
True
Suppose -3*j = 5*p - 387, -3*j + 125 = -2*j + 3*p. Is j a multiple of 9?
False
Let h = -3 + 6. Let i(s) = 12*s**2 - s. Let t be i(-1). Suppose -h*v + t = -11. Is v a multiple of 8?
True
Let g = -13 - -2. Let r = 23 - g. Is 10 a factor of r?
False
Let m(w) = w**3 - w**2 - 2*w + 34. Is 3 a factor of m(0)?
False
Let r(u) = -u + 5. Let a be r(0). Suppose -7*m - 5*p = -2*m - 185, a*p + 5 = 0. Does 21 divide m?
False
Let v(f) = -f**3 - 5*f**2 - 4*f. Let l be v(-3). Is (-2)/l - (-14)/3 even?
False
Let q(k) = k**3 - 6*k**2 + 6*k - 3. Let a be q(5). Let p(g) = -12*g - 5 + 4 + a - 6*g. Is p(-1) a multiple of 19?
True
Let n be (5 - 3)*1*4. Suppose 37 = 5*k - n. Let d(m) = m**3 - 9*m**2 + 12. Is d(k) a multiple of 6?
True
Suppose 3*l + 30 = k + 5*l, 3*k - 120 = 4*l. Does 18 divide k?
True
Suppose -4*o + 5*b = -23, 0 = -5*o + 4*b + 19 + 12. Let k(h) = h**2 - 4*h. Is k(o) a multiple of 17?
False
Let d = 0 + 0. Suppose 2*f - 7*f + 10 = d. Suppose -3*v + 6*v = f*y - 45, -35 = -2*y + v. Is 15 a factor of y?
True
Suppose -46 + 14 = -4*n - 4*a, 5*a = 3*n. Suppose -n*p + 2*q - 12 = -72, 24 = 2*p - q. Does 6 divide p?
True
Let c(u) = -u**3 - 5*u**2 + 6*u + 3. Suppose 10*a = -3*x + 5*a - 18, -4*x - 24 = -3*a. Let r be c(x). Suppose -y = -14 + r. Is y a multiple of 5?
False
Suppose 0*n = -n + 81. Does 24 divide n?
False
Let p = 171 - 76. Is 37 a factor of p?
False
Let l = 22 + -10. Is (-6)/l + 22/4 a multiple of 5?
True
Let k be (-2 + 1)*4 - -2. Suppose -3*x = -5*l - 45, 0 = -8*x + 3*x + 4*l + 75. Let d = k + x. Is d a multiple of 8?
False
Let r(x) = 2*x - 18. Let y be r(12). Suppose 3*z - 9 = -3*j, j - y = 4*z - 6*z. Suppose 4*g = -2*i + 4*i + 116, j = -4*g + 4*i + 108. Is g a multiple of 11?
False
Let s(j) = -j + 1. Let c be s(6). Is (4/c)/(12/(-330)) a multiple of 11?
True
Let f(o) = o + 5. Let t be f(-6). Let x = -19 + t. Is x/(-3) - (-2)/(-3) a multiple of 3?
True
Is 19 a factor of (-5)/(-30) + 1378/12?
False
Suppose -2*x - 3*d + 9 = 0, 4*d + 8 = 3*x + 3*d. Suppose v = 5*m, 4*v = 3*v - x*m + 16. Is v a multiple of 7?
False
Suppose 3*g = -g - 12. Let x = g - -5. Suppose -3*w - 33 = -x*p, w = 4*p - 44 - 27. Is 14 a factor of p?
False
Let s(v) = v**2 - 59. Let f be s(0). Let m = f + 100. Is 8 a factor of m?
False
Let i(l) = l**3 - 9*l**2 + 3*l + 9. Is i(9) a multiple of 8?
False
Suppose -11*a + 316 + 3479 = 0. Is 44 a factor of a?
False
Let q(z) = 12*z**2 + 4*z + 3. Is 11 a factor of q(-1)?
True
Suppose -228 = -5*l + 182. Is 46 a factor of l?
False
Let w(v) = -v + 30. Is 8 a factor of w(-16)?
False
Suppose 2*h - 32 = -4*b, 40 - 1 = 5*b + 3*h. Does 3 divide b?
True
Let x = 35 + -20. Does 11 divide (-25)/10*(-228)/x?
False
Let r = -30 + 52. Is 15 a factor of r?
False
Let k(a) = -a**3 + 4*a**2 - 2*a + 2. Let h be k(3). Suppose -22 = h*j - 122. Is j a multiple of 7?
False
Suppose 78 = -4*p - 242. Let k be (4/(-2))/((-8)/4). Is 5 a factor of (2 - k)*p/(-8)?
True
Let k = 5 - 3. Suppose -13 = -w - k*l, 4*l - 2 = 3*l. Let f = 24 - w. Does 10 divide f?
False
Let p = 27 - -32. Does 13 divide p?
False
Suppose 4*n - 5 = 3*o, -4*o - 4*n + 7 + 5 = 0. Is 4 a factor of 2/(o*(-6)/(-39))?
False
Let i(g) = -g**2 - 8*g + 5. Suppose 4*r - 8 = 12. Suppose -r*n = 4*t + 6 + 29, t + 2 = n. Does 10 divide i(t)?
True
Does 17 divide 119 + (2 - (-2)/(-1))?
True
Let d(l) = l**3 + 11*l**2 + 4*l + 4. Is 17 a factor of d(-9)?
False
Is ((-4)/(-3))/(-2)*-81 a multiple of 11?
False
Let k(v) = 5*v**3 - 2*v**2 + v + 3. Let u(x) = -6*x**3 + x**2 - 4. Let g(p) = 5*k(p) + 4*u(p). Let i be g(5). Is ((-38)/(-2))/(i - -2) a multiple of 8?
False
Let x = -59 + 107. Is 8 a factor of x?
True
Let w(v) be the third derivative of 0 + 0*v + 5/6*v**3 + 4*v**2 - 5/24*v**4. Is w(-8) a multiple of 15?
True
Let l(k) = -k + 18. Let t be l(0). Suppose 0 = 3*j - t + 6. Is 4 a factor of j?
True
Let n(d) = -d**2 + 12*d - 8. Let u be 3 + (-1 - (2 - 7)). Does 16 divide n(u)?
False
Suppose 0 = 3*p + 2*p + 135. Let v = 16 - p. Suppose v = 2*g + 9. Does 17 divide g?
True
Let p = -14 + 25. Does 11 divide p?
True
Let p be -1 - -1 - (-2)/2. Let n be (2 - -2 - -1)*p. Suppose -n*a = -148 - 42. Doe | {
"pile_set_name": "DM Mathematics"
} |
376*b - 742*b - b**2 + 2 as z + h*b + o*b**4 + q*b**3 + a*b**2 and give z.
2
Rearrange (6*p - 50*p - 19*p)*(-5*p - p + 12*p) to s*p + f + o*p**2 and give s.
0
Rearrange -855*w + 4 - 4 - 830*w - 753*w to the form p + o*w and give o.
-2438
Rearrange (-10*j + 10*j - 10*j**2)*(1 + 0 + 0 + (-2 + 2 - 2)*(3 + 0 - 1) + 1 - 3 + 0)*(-24 - 63 + 22) to the form k*j**2 + v*j + a and give k.
-3250
Express 4*i**4 - 6 + 21*i**4 - 8*i**4 + i**3 - i + 7 + i**3 as o + v*i**3 + j*i + g*i**2 + a*i**4 and give a.
17
Express (0*f + 145 - f + 1019)*(7*f - f - f) as l*f**2 + a*f + z and give a.
5820
Express -4*w**2 + 2*w**2 + w**2 + (3 + 3 - 5)*(1 - 1 - 2*w)*(0*w - 3*w + 5*w) - 12691 - 229*w**2 + 12691 as q*w + g*w**2 + h and give g.
-234
Rearrange -417*h + 122*h - 311*h + 4 - 4 to the form v + k*h and give k.
-606
Rearrange 8 - 8 - 2*a**3 - a**3 - 3*a**4 + 1 + 4*a**3 - a**2 to j + g*a**3 + m*a**4 + y*a + i*a**2 and give g.
1
Express 6*q - 4*q**2 + 2*q**2 + 62*q + 124*q + 447*q in the form a*q**2 + b + n*q and give a.
-2
Express (-1 + 1 + 2*u)*(-u + 4*u + 0*u) + 3*u - 3*u - u**2 - u**2 + 6*u**2 - 6*u**2 as r*u**2 + h*u + z and give h.
0
Express -166*n + 51*n - 68*n - 13*n in the form r + s*n and give s.
-196
Rearrange -8 - 20 - 1 + 16 + 4*a to w*a + v and give w.
4
Express -234*t + 63*t - 110*t - 130*t in the form a*t + i and give i.
0
Rearrange -9 + 31 - 11 - 11 - 718*w to x*w + y and give x.
-718
Express -39*w + 39*w + 199*w**2 as u*w + g + h*w**2 and give h.
199
Express -3 + 3 + 2*a - a - 2*a + 2*a + (-2*a + 3*a + 0*a)*(-3 + 3 - 2) - 25*a + 131 - 131 + (2*a + a - 2*a)*(-5 + 5 - 1) in the form b + n*a and give n.
-27
Express 467*a**2 + 527*a - 527*a + (-a + 2*a - 2*a)*(-3*a + 0*a + 2*a) as u*a + h*a**2 + t and give h.
468
Express (-2*d + 2*d - 2*d)*(0 + 1 - 2)*(-563*d**3 + 2483*d**2 - 2483*d**2) in the form p*d**2 + f*d**3 + k*d**4 + m + n*d and give p.
0
Rearrange (3*x**2 - 2*x**2 - 2*x**2)*((-2 + 2 + 1)*(0 + 0 + 2*x) + 0*x + 2*x - 3*x + 56*x - 106*x - 66*x) to s*x**3 + v*x + j + g*x**2 and give s.
115
Rearrange 9 + 23*k**2 + 12 - 25*k**2 + 0 - 3*k**3 - k**3 to f*k + d*k**2 + a + i*k**3 and give i.
-4
Rearrange (3*m + 4*m - 4*m)*(0 + 4 - 2)*(6 - 6 + 3*m) to the form u*m + s*m**2 + i and give s.
18
Rearrange (1247*l**2 - 4 + 5 - 1237*l**2 - l)*(3*l - 2*l + l) to v*l**2 + r + n*l**3 + z*l and give v.
-2
Rearrange (2 + 0 + 0)*(-69*i - 54*i + 104*i)*(-2 - 4*i - 3*i**2 + 4*i) to the form x*i**3 + m*i**2 + y*i + d and give x.
114
Express -2*x + 0*x + 559 + 219 + 3*x as b*x + u and give u.
778
Rearrange (15 - 15 + 30*h)*(-4 - 1 - 14) to the form n + x*h and give x.
-570
Express (4 + 0 - 2 - 2*q)*(0*q - 3*q + 5*q)*(170 + 159 - 278) as f*q**2 + t*q + y and give t.
204
Express -54*v - 112*v**3 + 53*v + 115*v**3 + 7 in the form u*v**3 + b + t*v**2 + s*v and give u.
3
Express (0*r - r - r)*(-3 + 3 - 8)*(-6 - 6 + 3) in the form b*r + w and give b.
-144
Rearrange (4*d - 3*d + 0*d)*(156 + 170 - 389) + 2*d - 2 + 2 to n + w*d and give w.
-61
Rearrange (-1 + 0 - 2)*(-10*s - 6*s - 5*s)*(5*s**2 - 7*s**2 + 8*s**2) to p + f*s**3 + o*s**2 + q*s and give f.
378
Rearrange (2*k + 0*k + 0*k)*(0 - 2 + 1) + (9 - 5 + 1)*(5*k - 12*k + 20*k) to the form y*k + z and give y.
63
Express -109*h + 51*h + 56*h + 2*h**4 + 2*h**3 - 121*h**4 as l + c*h**2 + f*h + g*h**4 + z*h**3 and give f.
-2
Express 327*c - 327*c + 3*c**3 - 97*c**2 as j*c + y*c**2 + v*c**3 + b and give y.
-97
Rearrange 127*r**2 + 8509 - 8509 to h*r**2 + z + g*r and give h.
127
Express (-5 + 0 + 3)*(4*w**2 + 0*w - 5*w**2 - 2*w) + (8 + 3*w - 8)*(w + 0*w - 3*w) as f*w + d + z*w**2 and give z.
-4
Express -q**2 - 65*q**3 - q**2 + 5 - q + 66*q**3 in the form b + g*q**2 + f*q + p*q**3 and give g.
-2
Express (-1 + 1 - 2*o)*(2 + 0 - 4)*(3 - 1 - 1)*(-1 + 4 - 2)*(-5720 + 5720 - 76*o**2) as y + v*o**3 + s*o + u*o**2 and give v.
-304
Rearrange (-1 - 2*q + 1)*(-1 + 0 - 1) + (-1 + 1 - q)*(3 - 2 + 2) to o*q + y and give o.
1
Rearrange r**2 + r**2 - r**2 + (-3 + 4 + 1)*(5*r**2 + 26*r**2 + 13*r**2) - 3*r - 2*r**2 - 3*r + 3*r - 1 to the form u*r**2 + t*r + b and give t.
-3
Rearrange (-3*v + 3*v - v**3)*(12 - 2 + 8) - v**2 + 14*v**3 - 15*v**3 - 5*v**2 - 2 to the form t*v**3 + a*v + m + i*v**2 and give m.
-2
Express (0*t**2 + 0*t**2 - 3*t**2)*(-2*t + 0 + 0)*(6*t - 2*t - 2*t)*(2 - 6 - 4) in the form f*t**3 + b*t**2 + z*t**4 + w + s*t and give z.
-96
Express 324*i + 208*i - 113*i in the form t*i + r and give r.
0
Rearrange -4550 + 4550 + 101*n**2 to c*n + t + j*n**2 and give j.
101
Rearrange (0 + 0*z - 4*z + 2)*(-3*z - 4*z + 4*z) - 7*z**2 - 19*z + 19*z to l*z + k*z**2 + a and give l.
-6
Express -560*f + 56*f - 84*f in the form j*f + g and give j.
-588
Rearrange (26 + 7 - 3)*(-2*s - s - 5*s) to the form m*s + z and give m.
-240
Rearrange (2*l - 5*l + l)*(167*l - 167*l + 48*l**2) + 2*l**3 - 5*l**2 + 5*l**2 + 2*l**3 + 3 - 3 to the form m + x*l + w*l**3 + c*l**2 and give w.
-92
Rearrange -8 + 8 - 144*l - 612*l to d*l + w and give d.
-756
Express 2*w - 43*w + 21*w - 72*w as x + d*w and give d.
-92
Rearrange (0*l + 3*l - 2*l)*((-1 + 11 + 0)*(-39 + 5 - 46) - 2 + 6 - 3) + (-2 + l + 2)*(-3 - 2 + 3) to the form p + b*l and give p.
0
Express -4*r**2 - 8*r**3 - 4 + r**2 + 44*r - 2*r**2 - 94*r + 48*r in the form p*r + w + t*r**3 + l*r**2 and give w.
-4
Express -k**2 - 2*k + 14*k - 38*k - 74*k in the form p + y*k**2 + t*k and give y.
-1
Express 0 + 440*a**3 - 372*a**3 - 2 as g*a**3 + p + w*a + b*a**2 and give w.
0
Rearrange (-2*x + 0*x + 0*x)*(0 + 0 - 1) + (5 - 3 - 1)*(-2*x + 5*x - x) + 76*x - 310*x - 19*x to the form n*x + f and give n.
-249
Express 5*y - 3*y + 1545 - 1541 + y**2 as t*y**2 + g + u*y and give g.
4
Express -6*f - 35*f**3 - 36*f**3 - f**4 - 3 + 104*f**3 - 36*f**3 in the form j + t*f**4 + k*f**2 + g*f + o*f**3 and give g.
-6
Express 36*d + 147*d + 29*d - 6*d + 3 - 1 in the form c*d + r and give r.
2
Express 12*g**3 + 5*g**2 - 3 - 74*g**3 + 56*g**3 + g in the form b*g + w + p*g**3 + v*g**2 and give b.
1
Rearrange (-h - h**2 + h)*(h - 3 + 3) - h**3 + 2*h - 2*h - 31*h**3 + 2*h**3 - 11*h**2 - 16*h**3 to the form q*h**3 + w + a*h + d*h**2 and give d.
-11
Rearrange -2*f + 57*f**2 + 25*f**3 - 57*f**2 + (f**3 + 1 - 1)*(-3 + 4 + 0) to p + h*f**2 + k*f + w*f**3 and give k.
-2
Express -p**2 - 7*p**3 + 0*p**3 + 6*p**3 + p**4 + 3*p**2 + 1 - 54*p + 1 in the form v*p + g*p**3 + u*p**4 + z*p**2 + c and give u.
1
Express (180*u**2 - 81*u**2 - 36*u**2)*(3*u**2 - 2*u**2 + 0*u**2) as a + m*u**4 + f*u**3 + r*u + t*u**2 and give f.
0
Express (37*i - 12*i + 54*i)*(64 - 31 - 26) as h + r*i and give r.
553
Express (-v - 4 + 4)*(-5*v + 4*v - 3*v) + 3*v**2 - 3*v**2 - 2*v**2 + v**2 + v**2 + v**2 - 6 - 6*v**2 + 6 as h + u*v + p*v**2 and give p.
-1
Express 2*l**2 - 4*l**2 + 13*l**3 + l - 4 - l**4 + l**2 + 1 - 3*l**3 as n*l**2 + a*l**4 + q*l**3 + j + t*l and give t.
1
Rearrange -m**3 + m + 0 + 8 - 4 - 3 to the form n + v*m**2 + r*m**3 + f*m and give v.
0
Rearrange 662*z - 2*z**2 + 2 - 659*z + 3*z**2 to a + y*z + p*z**2 and give p.
1
Rearrange (-2*v + 2 - 2)*(0*v + 0*v + 2*v) + 0*v**2 + v**2 - 2*v**2 + 3*v**2 + 5*v**2 + 2*v**2 - 2*v**2 + 4*v**2 + 0*v**2 to y + g*v**2 + q*v and give g.
7
Express -202*v - 219*v + 59*v - 65*v in the form s + p*v and give p.
-427
Express -89*z + 89*z - 68*z**4 + z - z - 3*z**4 + (2*z**2 + 4*z**2 - 4*z**2)*(-2*z**2 - 2*z + 2*z) in the form o*z**4 + m*z + y*z**2 + c*z**3 + l and give m.
0
Rearrange -196*m - m**3 - 144*m + 397*m - 2*m**3 + m**4 to the form o*m**3 + p*m + k + g*m**4 + w*m**2 and give o.
-3
Express -403*h - 1062*h**2 + 821*h - 418*h as q*h + r + a*h**2 and give a.
-1062
Express r**2 - 2 + 4 + 111*r**4 - 4*r - 109*r**4 as l*r**2 + j*r + h*r**3 + z + u*r**4 and give l.
1
Express -171 + 4*k**3 + 166 - 13*k**3 - 2*k**2 + 13*k**3 + 2*k in the form p*k**3 + z + f*k**2 + i*k and give i.
2
Express -66 + x + 34 + 34 + 17*x**2 as r + i*x**2 + q*x and give q.
1
Rearrange -3*q**4 + 135*q**3 - 323 + 4*q**4 + 321 to m*q**3 + n*q**2 + w*q + b*q**4 + t and give m.
135
Express -17*z**2 - 15*z**2 - 2*z - 2*z**2 in the form m + w*z**2 + x*z and give m.
0
Express -4*q - 1470*q**2 + 1521*q**2 + 2 - 2 as g*q + k + i*q**2 and give g.
-4
Express 63*l + 806*l**2 + 802*l**2 - 1606*l**2 - 2*l**3 as j*l**3 + u + k*l + s*l**2 and give j.
-2
Rearrange -j**4 - 14*j - 12 - 2* | {
"pile_set_name": "DM Mathematics"
} |
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