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+ 3*u**4 + 7*u - 4*u**2 wrt u?
72*u
Let i be (-25)/(-10) - 3/(-2). Find the second derivative of -i - 3*z + 10*z - 4*z**3 + 4 wrt z.
-24*z
Let d(m) be the first derivative of -m**6/15 - m**2/2 + 5*m + 4. Let p(r) be the first derivative of d(r). Find the first derivative of p(k) wrt k.
-8*k**3
Suppose -4*i + 7 = -13. Suppose 0*g + i*g = 10. What is the third derivative of -2*t**2 + 5*t**g - 2*t**3 - 2*t**2 wrt t?
-12
Let l(u) = -17*u**3 - 2*u**2 - 2*u - 11. Let y(d) = -16*d**3 - 3*d**2 - 3*d - 10. Let z(o) = 3*l(o) - 2*y(o). Differentiate z(x) wrt x.
-57*x**2
Let w = -2 - -1. Let c = w - -3. Find the second derivative of -p**5 + c*p + 3*p**5 - p wrt p.
40*p**3
Let u(n) be the third derivative of 0*n + n**2 + 0*n**4 + 0 - 1/60*n**6 + 1/20*n**5 + 0*n**3. Find the third derivative of u(m) wrt m.
-12
Let r(f) be the first derivative of 1/3*f**3 + 0*f**2 + 1/3*f**6 - 2 + 0*f + 0*f**5 + 0*f**4. What is the third derivative of r(u) wrt u?
120*u**2
Suppose 2*o + 12 = 5*o. Find the second derivative of 14*t + 8*t - 27*t + o*t**5 + 10*t wrt t.
80*t**3
Let h(b) be the third derivative of 11*b**6/120 - 7*b**5/60 + 17*b**2. Find the third derivative of h(f) wrt f.
66
Let w(v) be the third derivative of -v**7/5040 - v**6/240 - v**5/20 + 2*v**2. Let o(q) be the third derivative of w(q). Differentiate o(g) wrt g.
-1
Let b(o) be the first derivative of 2/7*o**7 - 11 - 1/3*o**3 + 0*o**4 + 0*o + 0*o**5 + 0*o**2 + 0*o**6. What is the third derivative of b(l) wrt l?
240*l**3
Let t(r) = 9*r**3 - 6*r**2 - 14*r - 6. Let m(c) = -c**2 - c - 1. Let n(f) = 6*m(f) - t(f). Find the second derivative of n(y) wrt y.
-54*y
Let g(a) be the second derivative of 3*a**3 + 3*a**2/2 - 15*a. Differentiate g(p) with respect to p.
18
Let h(n) = 6*n - 7*n**2 + 0*n**3 + 6*n - 5*n - 6 - n**3. Let r be h(-8). What is the third derivative of -2*t**3 + 6*t**r - 3*t**2 - t**3 + 0*t**2 wrt t?
-18
What is the third derivative of -7*b**5 + 8*b**2 + 14*b**2 - 2*b**2 wrt b?
-420*b**2
What is the third derivative of -l + 13*l**2 + 4*l**3 - 4*l**3 - 1915*l**4 + 1931*l**4 wrt l?
384*l
Suppose -5*b + 4*z = -22, 5*b + 2*z = z + 7. Differentiate 3 + b*p**3 + 3 + 0 - 5 wrt p.
6*p**2
Find the third derivative of -4*j**2 + 2*j**5 + 10*j**5 - 12*j**5 + 6*j**6 wrt j.
720*j**3
Let o(h) be the second derivative of 8*h**6/15 + 3*h**3/2 + 8*h. What is the second derivative of o(m) wrt m?
192*m**2
Let j(m) be the third derivative of 0*m - 1/40*m**6 + 0*m**5 - 5/24*m**4 + 5*m**2 + 0 + 0*m**3. What is the second derivative of j(g) wrt g?
-18*g
Let j(x) be the third derivative of -17*x**7/105 + 11*x**3/3 - 40*x**2. Differentiate j(q) wrt q.
-136*q**3
Suppose -5*a - 4*u - 6 = 0, -3*a - 2*u + 1 = 5. Let k be ((-20)/(-25))/(a/(-5)). Find the third derivative of 3*h**6 + 2*h**2 - 2*h**2 + h**k wrt h.
360*h**3
Let q be (-2)/1 + (4 - 0). Find the second derivative of q - s - 2 + s**2 wrt s.
2
Suppose x - 4*x + 24 = 0. Suppose 4*n + x - 32 = 0. What is the first derivative of -g**4 + 4 + 0 - n wrt g?
-4*g**3
Let a(i) = -16*i**2 + 7*i + 5. Suppose g - 14 = -g. Let r(v) = -11*v**2 + 5*v + 3. Let h(t) = g*r(t) - 5*a(t). What is the first derivative of h(z) wrt z?
6*z
Find the third derivative of 67*z + 44*z**4 + 17*z**2 - 66*z + 9 - 9 wrt z.
1056*z
Suppose 3*c = 73 - 22. Suppose c = 5*r + 2. Find the first derivative of r + 0 + i**2 - 5 wrt i.
2*i
Let y = 5 + -2. Find the third derivative of -2 + 2 - z**2 + 4*z**y wrt z.
24
Let f(l) = -2*l - 5. Let a(p) = -p - 3. Let k(i) = 5*a(i) - 3*f(i). Let y(u) = 3*u**2 - 2*u - 2. Let c(n) = 2*k(n) + y(n). Differentiate c(m) with respect to m.
6*m
Let c(v) be the first derivative of -7*v**6/120 - v**3/2 + 3*v**2 - 6. Let t(y) be the second derivative of c(y). Find the first derivative of t(i) wrt i.
-21*i**2
Suppose 0 = -2*d + 8 + 2. Differentiate -d - 2*p**2 + 6*p**2 + 0*p**2 - 1 with respect to p.
8*p
Let r(k) be the first derivative of -2/3*k**6 + 0*k**5 + 0*k + 0*k**4 + 5/3*k**3 + 0*k**2 + 5. Find the third derivative of r(w) wrt w.
-240*w**2
Let j(m) = 12*m**4 + 14*m**2 + 4*m - 4. Let u(n) = n - 1. Let b(v) = j(v) - 4*u(v). What is the third derivative of b(h) wrt h?
288*h
What is the second derivative of -31*l**4 + 31*l - 4*l**4 - 7*l + 11*l**4 wrt l?
-288*l**2
Let l be (-1 + (-8)/(-5))*5. Let r(p) = -11*p**2 - p + 5. Let k(b) = -6*b**2 - b + 3. Let t(s) = l*r(s) - 5*k(s). What is the second derivative of
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{
"pile_set_name": "DM Mathematics"
}
|
nearest integer?
300
What is the square root of 43604 to the nearest integer?
209
What is the square root of 636 to the nearest integer?
25
What is the tenth root of 6904 to the nearest integer?
2
What is the fourth root of 10944 to the nearest integer?
10
What is the eighth root of 44929 to the nearest integer?
4
What is the square root of 1676 to the nearest integer?
41
What is the cube root of 74623 to the nearest integer?
42
What is 13703 to the power of 1/2, to the nearest integer?
117
What is 4292 to the power of 1/10, to the nearest integer?
2
What is the ninth root of 9250 to the nearest integer?
3
What is 4597 to the power of 1/8, to the nearest integer?
3
What is 30 to the power of 1/2, to the nearest integer?
5
What is 19894 to the power of 1/5, to the nearest integer?
7
What is 5401 to the power of 1/7, to the nearest integer?
3
What is the eighth root of 30035 to the nearest integer?
4
What is 34238 to the power of 1/8, to the nearest integer?
4
What is 62320 to the power of 1/6, to the nearest integer?
6
What is 11425 to the power of 1/3, to the nearest integer?
23
What is 30652 to the power of 1/4, to the nearest integer?
13
What is 1502 to the power of 1/2, to the nearest integer?
39
What is the cube root of 5788 to the nearest integer?
18
What is 55526 to the power of 1/3, to the nearest integer?
38
What is the sixth root of 53419 to the nearest integer?
6
What is the seventh root of 125 to the nearest integer?
2
What is the square root of 280 to the nearest integer?
17
What is 22886 to the power of 1/7, to the nearest integer?
4
What is the fifth root of 734 to the nearest integer?
4
What is 5989 to the power of 1/10, to the nearest integer?
2
What is 4853 to the power of 1/2, to the nearest integer?
70
What is 1433 to the power of 1/2, to the nearest integer?
38
What is 16010 to the power of 1/6, to the nearest integer?
5
What is the sixth root of 30209 to the nearest integer?
6
What is the eighth root of 6109 to the nearest integer?
3
What is 2536 to the power of 1/3, to the nearest integer?
14
What is the fourth root of 6230 to the nearest integer?
9
What is the tenth root of 955 to the nearest integer?
2
What is the fifth root of 1712 to the nearest integer?
4
What is the tenth root of 5121 to the nearest integer?
2
What is the square root of 364 to the nearest integer?
19
What is 4244 to the power of 1/3, to the nearest integer?
16
What is 71249 to the power of 1/3, to the nearest integer?
41
What is the third root of 15304 to the nearest integer?
25
What is 47771 to the power of 1/8, to the nearest integer?
4
What is the square root of 2568 to the nearest integer?
51
What is the cube root of 2419 to the nearest integer?
13
What is the tenth root of 1092 to the nearest integer?
2
What is 1793 to the power of 1/4, to the nearest integer?
7
What is 12802 to the power of 1/10, to the nearest integer?
3
What is 66371 to the power of 1/7, to the nearest integer?
5
What is the eighth root of 2625 to the nearest integer?
3
What is the sixth root of 1520 to the nearest integer?
3
What is 555 to the power of 1/2, to the nearest integer?
24
What is 1901 to the power of 1/7, to the nearest integer?
3
What is 1174 to the power of 1/2, to the nearest integer?
34
What is the tenth root of 5970 to the nearest integer?
2
What is the third root of 69495 to the nearest integer?
41
What is the cube root of 14871 to the nearest integer?
25
What is the third root of 8762 to the nearest integer?
21
What is the cube root of 2916 to the nearest integer?
14
What is the ninth root of 9854 to the nearest integer?
3
What is 4178 to the power of 1/7, to the nearest integer?
3
What is 89160 to the power of 1/3, to the nearest integer?
45
What is the square root of 421 to the nearest integer?
21
What is 8 to the power of 1/5, to the nearest integer?
2
What is 1994 to the power of 1/5, to the nearest integer?
5
What is the square root of 1598 to the nearest integer?
40
What is the cube root of 2145 to the nearest integer?
13
What is 12532 to the power of 1/4, to the nearest integer?
11
What is the seventh root of 76037 to the nearest integer?
5
What is the square root of 1863 to the nearest integer?
43
What is the cube root of 7984 to the nearest integer?
20
What is the square root of 20008 to the nearest integer?
141
What is the cube root of 6207 to the nearest integer?
18
What is the square root of 3557 to the nearest integer?
60
What is 28144 to the power of 1/2, to the nearest integer?
168
What is 2231 to the power of 1/2, to the nearest integer?
47
What is the third root of 56633 to the nearest integer?
38
What is 5473 to the power of 1/2, to the nearest integer?
74
What is the eighth root of 2662 to the nearest integer?
3
What is 58191 to the power of 1/10, to the nearest integer?
3
What is 2829 to the power of 1/6, to the nearest integer?
4
What is the square root of 36175 to the nearest integer?
190
What is the square root of 20650 to the nearest integer?
144
What is the cube root of 62136 to the nearest integer?
40
What is the tenth root of 49148 to the nearest integer?
3
What is the third root of 86694 to the nearest integer?
44
What is the fifth root of 151 to the nearest integer?
3
What is 137699 to the power of 1/2, to the nearest integer?
371
What is the third root of 2340 to the nearest integer?
13
What is the square root of 45 to the nearest integer?
7
What is the square root of 9606 to the nearest integer?
98
What is the third root of 31832 to the nearest integer?
32
What is 39 to the power of 1/2, to the nearest integer?
6
What is 823 to the power of 1/7, to the nearest integer?
3
What is the third root of 73 to the nearest integer?
4
What is the third root of 732 to the nearest integer?
9
What is 102856 to the power of 1/4, to the nearest integer?
18
What is the fifth root of 86835 to the nearest integer?
10
What is 82343 to the power of 1/2, to the nearest integer?
287
What is the square root of 23090 to the nearest integer?
152
What is the square root of 60 to the nearest integer?
8
What is the third root of 33108 to the nearest integer?
32
What is 87994 to the power of 1/3, to the nearest integer?
44
What is the third root of 97301 to the nearest integer?
46
What is the cube root of 553 to the nearest integer?
8
What is 22489 to the power of 1/2, to the nearest integer?
150
What is the square root of 2283 to the nearest integer?
48
What is 2297 to the power of 1/3, to the nearest integer?
13
What is the fourth root of 1391 to the nearest integer?
6
What is 1890 to the power of 1/8, to the nearest integer?
3
What is 40652 to the power of 1/2, to the nearest integer?
202
What is the fourth root of 24407 to the nearest integer?
12
What is the square root of 6935 to the nearest integer?
83
What is 11593 to the power of 1/2, to the nearest integer?
108
What is 1304 to the power of 1/5, to the nearest integer?
4
What is 69352 to the power of 1/10, to
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{
"pile_set_name": "DM Mathematics"
}
|
+ 1. Calculate r*m(u) + 5*n(u).
u - 1
Let j(h) = h - 6. Let l(f) = -5. Give -3*j(c) + 2*l(c).
-3*c + 8
Let m(d) be the first derivative of -3*d**2/2 + 4*d + 5. Let s(o) = o - 2. Determine -2*m(k) - 5*s(k).
k + 2
Let f = 17 + -13. Let a(b) = -4 + 3*b - f - 1 + 4. Let p(j) = j. Let y(h) = 5*h - 2. Let r(d) = 4*p(d) - y(d). Determine -3*a(t) - 7*r(t).
-2*t + 1
Let s(u) = -u + 35. Let g(z) = 2*z - 71. What is -4*g(v) - 7*s(v)?
-v + 39
Let p(z) = -4*z**3 + 13*z**2 - 15*z - 11. Let y(l) = 2*l**3 - 7*l**2 + 8*l + 6. What is 6*p(n) + 11*y(n)?
-2*n**3 + n**2 - 2*n
Let a(w) = -129*w + 33. Let y(q) = -8*q + 2. What is -4*a(k) + 66*y(k)?
-12*k
Let k = 27 + -24. Let g(o) = 2*o**3 - 3*o**2 - 3*o + 3. Let h(r) = -3*r**3 + 5*r**2 + 5*r - 5. Calculate k*h(j) + 5*g(j).
j**3
Let l(x) = 2*x**3 - 3*x**2 - x - 2. Let h(a) = 3*a + 16. Let y be h(-6). Let z(w) = 2*w**3 - 2*w**2 - 1. Calculate y*l(b) + 3*z(b).
2*b**3 + 2*b + 1
Let o(z) = -2*z**3 + z**2. Let s(u) be the third derivative of u**6/120 - u**5/60 + 40*u**2. What is o(t) + 3*s(t)?
t**3 - 2*t**2
Let v(g) = 2*g**3 + 6*g + 6. Let x(t) = t**2 - 4*t. Let o be x(4). Let b be (-3 - o)*(-3)/9. Let s(l) = -4 + l - 2*l + 3. Determine b*v(c) + 6*s(c).
2*c**3
Let b = 11 - 18. Let u(z) = -2*z**2 - 4*z. Suppose 3*j - 15 = -d, -3*d - 2 - 3 = -j. Suppose -j = 2*o - 15. Let k(s) = -3*s**2 - 6*s. Give b*u(y) + o*k(y).
-y**2 - 2*y
Let d(u) = -u + 1. Suppose 0 = -h - h + 10. Let c(i) = -2*i + 1. Calculate h*c(s) - 8*d(s).
-2*s - 3
Let a(s) = 7*s + 4. Let m(r) = -8*r - 3. Give -3*a(d) - 4*m(d).
11*d
Let k(u) = 49*u**2 + 21*u. Let l(s) = 5*s**2 + 2*s. Give 2*k(n) - 21*l(n).
-7*n**2
Let m(a) = -a - 3. Let l(f) = 4. Suppose -12*o + 17*o = -20. Determine o*m(d) - 3*l(d).
4*d
Let b(m) = -2*m**3 - 2*m - 4. Let i be (-30)/4*(-6)/(-9). Let k = i - -4. Let h(v) = v**3 + 1. Let g be (3 + 1)/(0 - 1). Determine g*h(l) + k*b(l).
-2*l**3 + 2*l
Let k(t) = -t - 1. Let i(a) = -8*a - 12. What is -2*i(z) + 24*k(z)?
-8*z
Let m(a) = 17*a**2 + 2*a - 7. Let i(d) = -d + 1. Let z(c) = -2*i(c) + m(c). Let s be 2/5 + (-201)/15. Let b(y) = -8*y**2 - 2*y + 4. Give s*b(l) - 6*z(l).
2*l**2 + 2*l + 2
Let g(j) = -16*j**3 + 4*j**2 + 5*j - 4. Let v(n) = -17*n**3 + 5*n**2 + 6*n - 5. Determine 5*g(k) - 4*v(k).
-12*k**3 + k
Let k(f) = f. Let c(t) = t - 10. Let r be c(6). Let a be ((-10)/r)/((-3)/6). Let q(p) = 3*p - 1. What is a*k(n) + q(n)?
-2*n - 1
Suppose 9*v - 5*v - 16 = 0. Let d(m) = m. Let y(z) = -6*z + 2. What is v*d(x) + y(x)?
-2*x + 2
Let s(p) be the second derivative of p**4/4 - p**2 + 6*p. Let t(c) be the first derivative of s(c). Let x(r) = 2*r. Calculate 3*t(g) - 8*x(g).
2*g
Suppose 4*h - 10 = -3*n + 23, 0 = -3*h + 4*n + 6. Suppose -v + h = v. Let d(l) = -5*l**3 + 3*l. Let u(i) = 14*i**3 - 8*i. Calculate v*u(x) + 8*d(x).
2*x**3
Let q(d) = -2*d**3 - 11*d**2 - 11*d. Let a = 19 - 8. Let s = 11 - 9. Let z(g) = 8*g + g**3 + 11*g**s - 5*g**2 - 2*g. Give a*z(x) + 6*q(x).
-x**3
Let q(c) = -2*c - 25. Let b(g) = 2*g + 24. Determine -4*b(u) - 3*q(u).
-2*u - 21
Let f(c) = -c**2 - 4*c + 8. Let r = 66 + -77. Let n(j) = -2*j**2 - 7*j + 15. Determine r*f(q) + 6*n(q).
-q**2 + 2*q + 2
Let z(w) = -1. Let y(g) = 14*g - 1. Give y(u) - 3*z(u).
14*u + 2
Let t(o) = 19*o. Let q(r) = -132*r. What is 4*q(y) + 27*t(y)?
-15*y
Let r(p) = 6*p**2 - 14*p - 15. Let a(q) = 2*q**2 - 5*q - 5. Give 8*a(m) - 3*r(m).
-2*m**2 + 2*m + 5
Let p(m) = m**3 - m**2 - m + 1. Let u(x) = 5*x**3 - 5*x**2 + 24*x + 4. What is -4*p(i) + u(i)?
i**3 - i**2 + 28*i
Let h(u) = u**3 + 7*u**2 + 6*u + 1. Let t(i) = 3
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{
"pile_set_name": "DM Mathematics"
}
|
*3 + y**2 - 2*y - 36
What is the b'th term of -50103, -50105, -50109, -50115, -50123, -50133?
-b**2 + b - 50103
What is the u'th term of -39831, -39832, -39835, -39840?
-u**2 + 2*u - 39832
What is the b'th term of -8, -95, -240, -443, -704?
-29*b**2 + 21
What is the d'th term of -69, -279, -635, -1143, -1809, -2639?
-d**3 - 67*d**2 - 2*d + 1
What is the f'th term of 122, 246, 370, 494, 618?
124*f - 2
What is the f'th term of 67, 19, -33, -89, -149, -213?
-2*f**2 - 42*f + 111
What is the b'th term of 434, 864, 1296, 1730, 2166, 2604, 3044?
b**2 + 427*b + 6
What is the j'th term of -277, -554, -831, -1108, -1385, -1662?
-277*j
What is the v'th term of 130, 508, 1136, 2014, 3142, 4520?
125*v**2 + 3*v + 2
What is the v'th term of 20, 78, 172, 302, 468?
18*v**2 + 4*v - 2
What is the o'th term of 14, 49, 108, 191?
12*o**2 - o + 3
What is the g'th term of -16, 44, 104, 164, 224, 284?
60*g - 76
What is the m'th term of -1661, -1662, -1663, -1664, -1665, -1666?
-m - 1660
What is the f'th term of -59, -57, -69, -101, -159, -249?
-f**3 - f**2 + 12*f - 69
What is the l'th term of 13, 29, 47, 67, 89?
l**2 + 13*l - 1
What is the t'th term of -198, -394, -590, -786?
-196*t - 2
What is the n'th term of -640, -646, -650, -652, -652, -650?
n**2 - 9*n - 632
What is the h'th term of 32, 28, 24, 20, 16, 12?
-4*h + 36
What is the v'th term of -18, -87, -202, -363, -570?
-23*v**2 + 5
What is the w'th term of -74, -74, -72, -68?
w**2 - 3*w - 72
What is the c'th term of 66, 144, 222?
78*c - 12
What is the c'th term of 5, -50, -213, -538, -1079, -1890, -3025, -4538?
-9*c**3 + 8*c + 6
What is the s'th term of 389, 400, 425, 470, 541?
s**3 + s**2 + s + 386
What is the i'th term of -66, -130, -192, -252, -310?
i**2 - 67*i
What is the r'th term of 9, 30, 51, 72, 93?
21*r - 12
What is the b'th term of -502, -495, -484, -469, -450, -427?
2*b**2 + b - 505
What is the x'th term of -280, -278, -276, -274, -272?
2*x - 282
What is the x'th term of 59, 105, 151, 197?
46*x + 13
What is the l'th term of -36, -29, -8, 33, 100, 199, 336?
l**3 + l**2 - 3*l - 35
What is the a'th term of 12334, 12333, 12320, 12289, 12234, 12149?
-a**3 + 6*a + 12329
What is the t'th term of 35362, 35363, 35364?
t + 35361
What is the y'th term of -8, 54, 158, 304, 492, 722, 994?
21*y**2 - y - 28
What is the d'th term of 86, 90, 108, 146, 210?
d**3 + d**2 - 6*d + 90
What is the f'th term of -25, -53, -99, -163, -245?
-9*f**2 - f - 15
What is the p'th term of 166, 401, 634, 865, 1094?
-p**2 + 238*p - 71
What is the u'th term of -92, -105, -130, -173, -240, -337, -470, -645?
-u**3 - 6*u - 85
What is the f'th term of 179, 346, 511, 674?
-f**2 + 170*f + 10
What is the u'th term of -15, -34, -61, -96, -139, -190?
-4*u**2 - 7*u - 4
What is the b'th term of -268, -537, -806?
-269*b + 1
What is the h'th term of 173, 360, 561, 776, 1005, 1248, 1505?
7*h**2 + 166*h
What is the p'th term of -514, -516, -518, -520, -522, -524?
-2*p - 512
What is the a'th term of -20, -35, -50, -65, -80?
-15*a - 5
What is the b'th term of 25, 59, 117, 199, 305, 435, 589?
12*b**2 - 2*b + 15
What is the c'th term of 0, -11, -34, -75, -140, -235?
-c**3 - 4*c + 5
What is the t'th term of -108, -242, -388, -546?
-6*t**2 - 116*t + 14
What is the q'th term of 1461, 1460, 1459?
-q + 1462
What is the h'th term of -565, -1123, -1669, -2197, -2701, -3175, -3613?
h**3 - 565*h - 1
What is the l'th term of 55, 109, 181, 271, 379, 505?
9*l**2 + 27*l + 19
What is the c'th term of -49, -65, -99, -157, -245?
-c**3 - 3*c**2 - 45
What is the w'th term of 183, 725, 1635, 2919, 4583, 6633, 9075, 11915?
w**3 + 178*w**2 + w + 3
What is the y'th term of -26, -56, -84, -110?
y**2 - 33*y + 6
What is the n'th term of -15, -28, -37, -42, -43, -40?
2*n**2 - 19*n + 2
What is the j'th term of 20, -65, -282, -691, -1352, -2325?
-10*j**3 - 6*j**2 + 3*j + 33
What is the f'th term of -295, -293, -289, -283, -275, -265?
f**2 - f - 295
What is the o'th term of -153, -652, -1471, -2604, -4045, -5788?
o**3 - 166*o**2 - 8*o + 20
What is the p'th term of 3820, 3813, 3806, 3799, 3792?
-7*p + 3827
What is the w'th term of -3284, -3294, -3318, -3362, -3432, -3534, -3674, -3858?
-w**3 - w**2 - 3282
What is the m'th term of -54, -114, -184, -264, -354?
-5*m**2 - 45*m - 4
What is the b'th
|
{
"pile_set_name": "DM Mathematics"
}
|
u + o. Suppose -4*x = 2*d - 3*d - 38, -u*x + 4*d + 42 = 0. Calculate the greatest common factor of 4 and x.
2
Suppose 0 = v + 3*h - 52 - 44, -4*v + 2*h = -370. What is the highest common factor of 3534 and v?
93
Suppose 0*i + 3*r + 4 = 4*i, 3*i = r + 8. Suppose 0 = -5*c - 1 + 6, -i*b - 2*c = -30. What is the highest common divisor of b and 49?
7
Let d(t) = -32*t**2 - 8*t - 10. Let q be d(-2). Let o = -73 - q. Calculate the greatest common factor of 98 and o.
49
Suppose -h + 1 + 2 = 0. Suppose -c - 4 = 2*q, 4*q + 17 = -c + h. Calculate the greatest common divisor of c and 42.
6
Let c be (-2)/(-7) + 156/(-7). Suppose 0 = -z + 4*s + 36, -3*z + 0*s = s - 160. Let x = c + z. Calculate the highest common divisor of x and 12.
6
Let d(n) = 5*n**2 - 14*n - 36. Let b be d(-6). What is the greatest common divisor of 627 and b?
57
Let x(h) be the first derivative of h**3/3 + h**2/2 + 8*h - 7. Let z be x(-4). What is the greatest common factor of z and 140?
20
Let f be (-3 - 15/20)/(1/(-8)). Calculate the highest common divisor of f and 162.
6
Suppose w - 6*w = -55. Suppose -w = 5*v - 86. Suppose 3*b = -b + 540. Calculate the greatest common divisor of b and v.
15
Let a = 1 + 75. Suppose -4*j + 23 = s, -4*j + 0*s + 2*s + 26 = 0. Suppose -j*l + 0*l = -114. What is the highest common factor of l and a?
19
Let f be 1/((5 + -4)/(-14)). Let g = f + 17. Suppose 1 = -g*m + 4. Calculate the highest common divisor of 3 and m.
1
Let y(q) = q**2 - 16*q + 14. Let k be y(15). Let g be 5/k*(-54)/30. What is the highest common divisor of g and 9?
9
Suppose 2*z + 2*z + 4*q - 4 = 0, 2*z + q = 7. Suppose 80 = z*n - 2*n. Let r be 45/n + 2/(-8). Calculate the highest common factor of 2 and r.
2
Let z(t) = t**3 + 11*t**2 + 4*t - 23. Let c be z(-10). Calculate the highest common factor of c and 1.
1
Suppose 16*g = 656 + 352. What is the greatest common factor of g and 27?
9
Let m = -133 + 134. Calculate the greatest common divisor of m and 4.
1
Let i(c) = -157*c - 5. Let g(z) = -158*z - 6. Let o(p) = 4*g(p) - 5*i(p). Let n be o(1). Calculate the highest common factor of 14 and n.
14
Let r(t) = 8*t**2 + 90*t - 9. Let s be r(-15). What is the greatest common divisor of s and 392?
49
Let a = -13 - -69. Suppose 0 = -2*d + 2*n + 14 - 18, 22 = 7*d - 3*n. What is the greatest common factor of a and d?
7
Let g be (-2 - -55) + (-17 - -18). What is the highest common factor of g and 837?
27
Let g(x) = -7*x - 225. Let p be g(-43). Calculate the highest common divisor of 95 and p.
19
Let m(z) = 17*z + 74. Let w(u) = 11*u + 49. Let s(l) = -5*m(l) + 7*w(l). Let f be s(-5). What is the greatest common divisor of f and 13?
13
Suppose -4*b + 482 = 2*u, u - 288 = -3*b - 50. What is the highest common divisor of u and 95?
19
Let w(o) = 15*o + 11. Let a be w(9). Suppose -a + 34 = -4*y. Suppose 0 = -4*z + 8 + 8. Calculate the greatest common factor of y and z.
4
Let u be -4 - (-3 - (-1 - -4)). Let r = u + 12. Calculate the greatest common divisor of r and 126.
14
Let y = 13 + -11. Suppose -3*r + 5*r + 5*m = 190, y*r = 3*m + 222. Calculate the greatest common divisor of r and 15.
15
Let f = -376 - -394. Let n(b) = -b**3 - 5*b**2 - 7*b - 5. Let c be n(-4). Suppose -c*d + 10*d - f = 0. Calculate the greatest common factor of d and 30.
6
Suppose 2*m - 8 + 0 = 0. Suppose 5*p + 44 = 3*x, 0 = m*p + 24 - 8. What is the highest common factor of x and 32?
8
Let w = -154 + 159. What is the greatest common divisor of 15 and w?
5
Suppose 2*g - 25 = -4*l + 39, 8 = -4*g. Suppose 0 = 2*y + 9 - l. Let a(u) = u**2 + 4*u + 4. Let t be a(4). Calculate the greatest common divisor of y and t.
4
Let a(i) = 7*i**2 + 17*i. Let g be a(-5). What is the greatest common factor of 10 and g?
10
Suppose 7*v = 191 - 2. What is the greatest common factor of 63 and v?
9
Let q = 1794 - 1786. Calculate the highest common divisor of q and 364.
4
Let n be ((-9)/2 + -6)*-4. Calculate the greatest common divisor of 518 and n.
14
Let v = -41 - -17. Let q = 44 + v. What is the greatest common divisor of q and 50?
10
Let r(z) = -z**3 + 10*z**2 - 20*z - 13. Let i be r(6). What is the highest common divisor of i and 17?
1
Suppose 0 = k - 24 - 0. Let h(l) = 2*l**2 + 29*l - 3. Let t be h(-15). Calculate the greatest common factor of k and t.
12
Suppose -z - 40 = -2*f + 175, 0 = f + 3*z - 111. Let n(x) = x + 12. Let u be n(6). Calculate the greatest common factor of u and f.
18
Suppose -1764 = -8*s - 13*s. Calculate the highest common divisor of s and 48.
12
Let p be ((-12)/18 - (-2)/3) + 539. Suppose -3*b + p = 4*b. What is the highest common divisor of 7 and b?
7
Let b = 586 + -352. Calculate the highest common factor of 26 and b.
26
Let b(t) = -2*t. Let s be b(-1). Suppose -5*r = j - r - 8, 0 = -4*j + s*r + 14. Let d = j + 8. What is the highest common factor of 12 and d?
12
Let k = 202 + -194. Calculate the highest common divisor of k and 16.
8
Let a(z) = -12*z + 117. Let p be a(3). What is the greatest common factor of 45 and p?
9
Suppose 4 = -g + 3*f - 0*f, 0 = -5*f + 15. Suppose -l = g*i - 8, 0 = 2*l - 7*l + 5*i + 70. Calculate the highest common divisor of l and 65.
13
Suppose 2*n - y - 8 = 0, 0*n - y = 5*n - 6. Suppose -62 = 19*z - 81. What is the highest common factor of n and z?
1
Let y(g) = -3*g**3 - 13*g**2 - 6*g + 15. Let f be y(-8). Calculate the highest common factor
|
{
"pile_set_name": "DM Mathematics"
}
|
*(16/12)/4?
-1/4
Evaluate (3/(-36)*-8)/(3/27).
6
Evaluate ((-8)/(-2))/(-17*50/25).
-2/17
What is the value of (1/4)/(972/432)?
1/9
Evaluate 48/(-24)*(-2)/48*2.
1/6
(6/63)/(3/21*1)
2/3
What is 9*-6*4/24?
-9
-1*(25/5)/(-30)*-30
-5
((-45)/(-135))/((-5)/9)
-3/5
Calculate (2/2*1)/((-120)/24).
-1/5
What is the value of (10/(-15))/(2/6)?
-2
(2*(-6)/15)/(10*1)
-2/25
Evaluate ((-5)/350)/(11/(-110)).
1/7
Evaluate ((-6)/(-28))/((250/20)/(-25)).
-3/7
Evaluate 3/6*5*(-32)/20.
-4
Evaluate (12/(-4))/3*-1*1.
1
What is the value of (42/245)/(7/(700/(-15)))?
-8/7
Calculate ((-8)/(-10))/((-2)/(-10)).
4
What is the value of ((-10)/270*-9)/(-1)?
-1/3
What is 3/(((-135)/10)/(-9))?
2
Evaluate (3/9)/(((-27)/12)/9).
-4/3
What is (29/174)/(7/42)?
1
What is the value of (-160)/(-352)*22/2?
5
What is the value of 3*-2*(8/12)/(-2)?
2
(3/1)/((-1)/(-6)*9)
2
Evaluate ((-3)/1)/(4/(-4)).
3
What is the value of 16/14*(-959)/(-274)?
4
Evaluate 112/(-140)*(-5)/(-14).
-2/7
((-10)/(-1)*100/(-250))/10
-2/5
What is ((-33)/11)/((-189)/(-28))?
-4/9
Calculate (2/(-1))/(3/(9/30)).
-1/5
What is 8/(-6)*(-54)/72?
1
What is the value of ((-588)/420)/((-8)/(-10))?
-7/4
What is the value of (6*(-6)/128)/(3/4)?
-3/8
13/(2275/(-10))*5
-2/7
(19/114)/((-3)/12)
-2/3
What is the value of (12/(-63))/(1/((-7)/2))?
2/3
11/(-33)*6/((-4)/2)
1
Calculate -3*16/12*1/4.
-1
Evaluate (((-4)/(-6)*6)/(-2))/(-10).
1/5
What is (6/(-4))/(22/88)?
-6
(((-55)/10)/11)/((-1)/2)
1
What is 6/(-11)*(20/15)/(-4)?
2/11
What is the value of (85/(-51))/((-5)/(-3))?
-1
2*2*(-2)/36
-2/9
Evaluate (10/160)/((-2)/12).
-3/8
(2/3)/(2/(-2))*6
-4
(2/1)/(21/(-3)*1)
-2/7
What is the value of ((-9)/24)/(9/6)?
-1/4
Evaluate (-60)/20*6/9.
-2
Evaluate (-5)/4*(-24)/840*7.
1/4
Evaluate 10/(-16)*168/(-84).
5/4
What is the value of 468/104*4/(-3)?
-6
Evaluate 89/(-89)*(-33)/(-3).
-11
Evaluate (9/(-2))/((-198)/(-24)).
-6/11
What is the value of (12*(-5)/(-40))/((-6)/20)?
-5
What is the value of 1*8/(-12)*36/8?
-3
(15/10)/((-108)/(-16))
2/9
Evaluate (3/30*-2)/1.
-1/5
(-3)/((2/(-4))/(42/28))
9
What is (9/2)/((-7)/(42/(-9)))?
3
What is (((-165)/10)/(-11))/((-6)/(-8))?
2
Evaluate (18/(-60)*-5)/((-3)/14).
-7
Evaluate (-6)/(-36)*3/(-1)*4.
-2
Evaluate (-2)/10*1*-2.
2/5
Evaluate 2/36*519/173.
1/6
Calculate ((54/9)/(-12))/(1/14).
-7
6/40*(-5)/(-45)*-6
-1/10
What is the value of (-2)/12*(-6)/(-3)*0?
0
What is the value of (0/10)/(2*2/2)?
0
Evaluate (((-12)/10)/((-3)/10))/(-1).
-4
What is (((-18)/35)/(21/98))/(-2)?
6/5
((-1)/((-40)/128))/((-8)/20)
-8
What is (-30)/18*18/10?
-3
Evaluate ((-7)/21)/(4*(-4)/(-96)).
-2
Calculate (-12)/4*6/(-45).
2/5
Calculate (-9)/144*-8*8/1.
4
83/(-249)*3*4
-4
(-3)/2*(-4)/(-24)
-1/4
What is the value of (5/(-2))/(5/(-2))?
1
Calculate 1*(-3)/(-6)*6.
3
What is the value of ((4/4)/1)/(1/3)?
3
Calculate ((-2)/8)/(55/165).
-3/4
What is the value of (-1)/(2/8*-10)?
2/5
Evaluate ((66/(-2))/(-11))/(2/(-2)).
-3
What is 3/(1/(2/2))?
3
Calculate (0/26)/(1*2/2).
0
Evaluate (1*(-5)/15)/(3/63).
-7
What is 42/(-18)*24/(-56)?
1
What is the value of (-30)/12*5/((-5)/(-2))?
-5
Calculate ((-2)/8)/(38/(-16)).
2/19
What is ((-256)/192)/(2/6)?
-4
What is the value of (2/(-30))/(46/(-460))?
2/3
Evaluate -1*6/(-6)*1.
1
Calculate (-32)/40*((-6)/(-2))/(-3).
4/5
Evaluate (((-182)/(-21))/(-13))/((-4)/18).
3
What is (6/(-14))/((-1)/21*-6)?
-3/2
What is the value of 4/(-8)*-3*8/90?
2/15
What is the value of ((-15)/10)/((-312)/32)?
2/13
((-1)/4)/((-377)/232)
2/13
(-1)/(4/((-256)/(-8)))
-8
Calculate 5*(6/4)/((-120)/96).
-6
Evaluate -18*1*(-1)/2.
9
Calculate 20/(-2)*3/(-6).
5
What is ((-12)/((-14)/7))/((-81)/(-18))?
4/3
What is (((-180)/(-75))/(-12))/((-1)/(-2))?
-2/5
Calculate (0/3)/(3/(-3)).
0
What is ((-6)/(-3))/((-5)/5)?
-2
(((-6)/(-4))/(-3))/(203/58)
-1/7
((-3)/2)/(-10*(-1)/20)
-3
What is the value of 2/8*448/(-28)?
-4
Calculate (-3)/6*-2*8/(-32).
-1/4
What is the value of (5/((-100)/6))/((-6)/5)?
1/4
What is the value of ((-25)/((-1400)/48))/(-3)?
-2/7
What is (-35)/15*18/189?
-2/9
(0*(-1)/(-8))/(-1)
0
What is ((-9)/(-99)*0)/2?
0
(-2)/(-6)*(-4)/2
-2/3
What is the value of (-4)/(-18)*(-513)/(-114)?
1
What is (((-12)/14)/3)/((-513)/(-798))?
-4/9
What is (-12)/1*((-4)/(-1))/(-16)?
3
Calculate (10/25)/(1/10).
4
((-5)/(-95))/(1*4/(-8))
-2/19
(-1)/((56/(-48))/(1/(-2)))
-3/7
Calculate (-130)/(-39)*(-2)/30.
-2/9
Calculate ((-1)/1)/(8/24).
-3
What is ((-11
|
{
"pile_set_name": "DM Mathematics"
}
|
st common factor of f and q?
5
Suppose -44*d + 33 = -43*d - 3*t, 5*t = -3*d + 99. Let b be 2/(1/(11/2)). What is the greatest common divisor of b and d?
11
Let s(p) = 2*p**2 - 4*p + 1. Let h(b) = b**2. Let x(c) = h(c) - s(c). Let n be x(2). What is the highest common divisor of n and 12?
3
Let x = 14 + -2. Calculate the highest common divisor of 36 and x.
12
Suppose 5*x + 10 = 25. Suppose -361 + 37 = -x*m. Calculate the highest common factor of m and 12.
12
Let t be (-3248)/(-126) - (-2)/9. Calculate the highest common factor of t and 104.
26
Let g = 7 + 27. Suppose h - g = -0*h. Suppose 0 = 2*j - 2*s - 34, -3*j - 51 = -6*j - s. What is the highest common factor of h and j?
17
Suppose 11 = 2*i - 1. What is the highest common divisor of i and 12?
6
Suppose 3*o = 12, -u = 2*o - 4*o - 181. Let c = 87 + 60. Suppose 0 = -5*g - 42 + c. Calculate the greatest common factor of g and u.
21
Suppose 4 = 2*r - 0. Let t be r + -2 + 97 + 1. What is the highest common divisor of t and 14?
14
Let z = 9 + -2. Suppose -13 - z = -2*l. Let d(v) = 31*v - 1. Let x be d(1). What is the greatest common factor of l and x?
10
Let d = -13 - -18. Suppose 0*x - 5*x + 275 = 0. Let k = x - 35. What is the highest common factor of d and k?
5
Let r = -12 - -20. Let g be 14/7 - (2 + -88). Calculate the greatest common divisor of g and r.
8
Let x = -27 - -28. Calculate the greatest common divisor of x and 11.
1
Let z(g) be the first derivative of -g**4/4 - 5*g**3 + 6*g**2 - 8*g + 3. Let p be z(-16). Calculate the highest common divisor of p and 8.
8
Let u = 19 - 10. What is the highest common factor of 99 and u?
9
Let i = 5 + 9. Calculate the greatest common divisor of 7 and i.
7
Let f be (0 + 2)/2 + 2. Suppose -5*h - 18 = -2*l, -19 = -2*l + f*h + 3. Calculate the highest common divisor of 112 and l.
14
Let c(v) = v**3 - 4*v + 3. Let i be c(2). Suppose 0 = 5*b - b + 84. Let s = 42 + b. Calculate the highest common divisor of s and i.
3
Suppose -2 = -3*x - 5*y, -x - 3*y = 2*y - 4. Let r be 30 - (-4 + 2 + x). Calculate the greatest common divisor of r and 22.
11
Let k(a) = -a**2 + 7*a + 11. Let l be k(8). Let o be l/(((-2)/(-2))/7). Let h = o + -14. Calculate the greatest common divisor of h and 77.
7
Let h(g) = g**2 + 4*g - 1. Let v be h(-6). Calculate the greatest common factor of 33 and v.
11
Suppose 5*r = -79 - 31. Let v be (-26)/r + (-6)/33. Calculate the highest common factor of v and 8.
1
Let r = 27 - 20. Suppose -r*u + 12*u - 85 = 0. Calculate the highest common factor of 68 and u.
17
Suppose 2*m + 1068 = -2*m. Let x = m + 397. Suppose -4*l - l = -x. What is the highest common factor of l and 65?
13
Suppose 0 = -k + 5*f - 17, 4*k - 4 = 3*f - f. Calculate the greatest common divisor of 12 and k.
3
Suppose -3*r = -93 + 18. Calculate the greatest common factor of 200 and r.
25
Suppose 0 = 2*h - z - 269, 672 = 5*h - 3*z - 0*z. What is the highest common divisor of 27 and h?
27
Let t = 28 - 12. Suppose -2*g = 4*x - t, 3*g - 4*x - 44 = -0*g. What is the greatest common divisor of 12 and g?
12
Let k be 0 - 3/(3/(-2)). Suppose 2*q + l - 2 - 15 = 0, -2*l = -k. Suppose -2*n + g = -22, -5*n = 5*g + q - 33. Calculate the highest common divisor of n and 72.
9
Suppose -11 = -3*v - 2*d, 0 = 5*v - 5*d - 50 - 10. Let l(c) = c**2 + 3*c - 7. Let t be l(-5). Let m = t - -4. What is the greatest common factor of v and m?
7
Suppose -3*w + 2*x + 28 = -7, 2 = x. Suppose -3*f = -w - 17. Calculate the highest common divisor of f and 5.
5
Let h(t) be the second derivative of t**4/12 + 7*t**3/6 - 11*t**2/2 + 2*t. Let x = -6 + -3. Let z be h(x). What is the greatest common divisor of z and 21?
7
Let r = -3 - -19. Let w(k) = 22*k + 40. Let z be w(4). What is the highest common divisor of z and r?
16
Suppose 72 = 4*o - 2*o. Let u = 1 - -2. Suppose 3*x + 2*m - 128 = -2*x, u*m + 12 = x. Calculate the highest common divisor of x and o.
12
Let k = 4 - -4. Suppose -1 = 3*h - 5*z - 92, -3*h + 85 = -2*z. Suppose h = r - 5. Calculate the greatest common divisor of r and k.
8
Let s be (-205)/(-10) - 1/2. Let n = -456 + 254. Let c be n/(-4) - 3/6. What is the greatest common divisor of s and c?
10
Suppose 0 = 4*n - 0*n - 432. Suppose -5*i + 4*c + 56 = -16, 3*i - 42 = 2*c. What is the greatest common divisor of n and i?
12
Suppose 0 = -w + 6 - 3. Let a be 4*(w - (0 - -2)). Suppose -c - 3*g + 8*g = -113, 0 = -4*c - a*g + 524. Calculate the highest common divisor of 16 and c.
16
Suppose -2*m + 3*m - 18 = 0. Suppose -2*n = 2*n - 24. Suppose 4*o - 2 = n. Calculate the greatest common factor of m and o.
2
Let a(c) = -c**2 - 5*c + 2. Let x be a(-5). Calculate the greatest common divisor of 3 and x.
1
Let y(k) be the third derivative of -5*k**4/12 - k**3/3 + 3*k**2. Let s be y(-2). Calculate the greatest common divisor of s and 9.
9
Let g(h) = -3*h - 9. Let m be g(-11). Calculate the highest common factor of 56 and m.
8
Let h = 33 - -7. Let z = 3 - 8. Let o be -1 + -1 + 1 - z. Calculate the highest common divisor of o and h.
4
Suppose -5*u - 3*x + 260 = -5*x, 5*u - 260 = -5*x. Calculate the greatest common factor of 4 and u.
4
Let x(j) = -18*j + 1. Let d be x(-3). What is the greatest common divisor of 11 and d?
11
Let u = 12 - 9. Let m(q) = 19*q - 1. Let l be m(u). Suppose 0*x + x = l. What is the highest common divisor of x and 8?
8
Suppose -3*c = -h -
|
{
"pile_set_name": "DM Mathematics"
}
|
0*a**2 + 0 + 4*a. Let s(z) = 8*z. Determine l(s(o)).
8*o
Let m(l) = 7*l. Let q(k) = -4*k + 5*k - 2*k. Calculate q(m(n)).
-7*n
Let j(b) = -6*b**2 - 5*b. Let l(y) = 3*y - 14. Give j(l(d)).
-54*d**2 + 489*d - 1106
Let o(s) = -3*s**2 - 6*s - 6. Let u(q) = -q - 1. Let j(b) = o(b) - 6*u(b). Suppose x = -2*x + 9. Let f(c) = 0*c + x*c - c. Determine f(j(d)).
-6*d**2
Let j(f) be the first derivative of -f**3/3 - 1. Let g(i) be the second derivative of i**4/12 - 10*i. Determine j(g(k)).
-k**4
Let a(b) = b**2. Suppose f + 2 = 6. Let m(r) = 7*r + 5. Let t(z) = 6*z + 4. Let v(p) = f*m(p) - 5*t(p). What is a(v(x))?
4*x**2
Let f be (100/12 - 4) + -4. Let k(o) be the first derivative of 0*o + 0*o**2 - f*o**3 + 2. Let p(v) = -v. Determine k(p(c)).
-c**2
Let s(m) be the second derivative of -5*m**4/12 - 9*m. Let h(n) = -4*n**2. Determine h(s(u)).
-100*u**4
Suppose -y + 5 = 0, -3*y = -2*w - 0*y - 5. Let i(q) = -4*q + q + w*q. Let d(j) = -j - 8. Let g(v) = -3*v - 18. Let n(l) = 9*d(l) - 4*g(l). Calculate i(n(u)).
6*u
Let t(m) = 2*m**2. Let l(p) be the third derivative of -p**8/20160 - p**5/20 - p**2. Let y(u) be the third derivative of l(u). What is t(y(i))?
2*i**4
Let d(u) = -u**3 - 2*u**2 + 2*u - 1. Let n be d(1). Let x = 5 + n. Let q(b) = b + 2 - 5 + x. Let j(v) = -2*v**2. Calculate q(j(l)).
-2*l**2
Let a(o) = 2*o**2 + 2*o. Let y(k) = 171*k**2. Give a(y(z)).
58482*z**4 + 342*z**2
Let g(m) be the third derivative of -m**6/72 + 5*m**3/6 + 4*m**2. Let a(o) be the first derivative of g(o). Let p(w) = -w**2. What is p(a(f))?
-25*f**4
Let a(q) be the third derivative of -q**5/60 - 4*q**2. Let h(l) be the second derivative of l**4/12 - l. Give h(a(d)).
d**4
Let a(t) = -2*t - 23. Let z(k) = -5*k. Determine a(z(c)).
10*c - 23
Let w(d) = -34*d. Let z(x) = -2*x - 112. Give w(z(a)).
68*a + 3808
Let g(h) = 9*h + 11*h - 9*h. Let y(c) be the second derivative of c**4/6 + 26*c + 2. Calculate y(g(z)).
242*z**2
Let l(f) be the third derivative of f**4/8 + 2*f**2. Let t(w) = -w - 1. Let q(v) = 2*v**2 + 8*v + 8. Let r(j) = q(j) + 8*t(j). Calculate r(l(d)).
18*d**2
Let x(b) = 5*b. Let l(w) be the first derivative of w**3 - 7. Determine x(l(u)).
15*u**2
Let m(r) = 1825 - 909 - r**2 - 916. Let f(w) be the second derivative of w**4 + w. What is f(m(i))?
12*i**4
Let z(r) = -6*r - 4. Let w(g) = -7*g - 5. Let b = 18 - 23. Let a(y) = b*z(y) + 4*w(y). Let j(x) = 2*x**2 + 0*x + 0*x. Calculate j(a(s)).
8*s**2
Let c(b) be the third derivative of b**4/8 - 19*b**2. Let q(a) be the second derivative of -a**3/6 - a. What is c(q(j))?
-3*j
Let a(f) = 0*f - f**2 + 0*f + 5*f**2. Let n(i) = 17*i - 11. Let x(p) = -6*p + 4. Let h(z) = 4*n(z) + 11*x(z). Give a(h(j)).
16*j**2
Let h(t) = -2*t**2. Let d(c) = 12*c**2 - 15*c. Let u(m) = 3*m**2 - 4*m. Let l(r) = -4*d(r) + 15*u(r). Calculate h(l(n)).
-18*n**4
Let a(u) = -96*u. Let c(o) = 7*o**2 + 6*o - 6. Let z(h) = -8*h**2 - 7*h + 7. Let b(n) = 7*c(n) + 6*z(n). Calculate a(b(m)).
-96*m**2
Let d(v) = -71*v**2. Let c(s) = -6*s. Give c(d(n)).
426*n**2
Let f(u) = -3*u**2. Let q(a) = a**2 + a - 1. Let z(s) = -13*s**2 - 5*s + 5. Let x(l) = 5*q(l) + z(l). Give f(x(o)).
-192*o**4
Let n(t) = -23*t**2. Let c(s) = 20*s**2. Determine c(n(m)).
10580*m**4
Let l(d) = -2*d. Let a(b) = b**2 - 3*b + 3. Let g(x) = -8*x**2 + 20*x - 20. Let k(i) = 20*a(i) + 3*g(i). Determine l(k(z)).
8*z**2
Let k(m) = -12*m - 10. Let r(v) = -6*v - 6. Let c(q) = -3*k(q) + 5*r(q). Let w(i) = 7*i - 2*i - 3*i. Give c(w(f)).
12*f
Let k(x) = x - 333. Let p(u) = -3*u**2. Give p(k(z)).
-3*z**2 + 1998*z - 332667
Let f(u) = 13*u. Let d(m) = m. Let i(j) = 2*j. Let k(w) = -9*d(w) + 4*i(w). Give k(f(l)).
-13*l
Let j(m) be the second derivative of m**5/20 + 4*m**2 - 8*m. Let l(d) be the first derivative of j(d). Let t(s) = s**2. Give l(t(k)).
3*k**4
Let w(
|
{
"pile_set_name": "DM Mathematics"
}
|
ue in 0.1, 2, 0, -1/3, -1, -63?
2
Which is the fourth biggest value? (a) -0.5 (b) 184/5 (c) -6 (d) 1 (e) 4 (f) 5
d
Which is the fourth biggest value? (a) 22 (b) 2.6 (c) 2 (d) -9 (e) 3
c
Which is the smallest value? (a) -2/373 (b) -0.3 (c) -29.9 (d) 4 (e) -1/8
c
Which is the third smallest value? (a) -195/4 (b) 15 (c) -6
b
Which is the second smallest value? (a) -189 (b) -4/143 (c) 2
b
Which is the fifth biggest value? (a) 3/8 (b) -5 (c) -8 (d) -0.6791 (e) 0
c
What is the third biggest value in 1, 1/2, -4, 0, 7?
1/2
Which is the fifth biggest value? (a) -0.185 (b) 0 (c) 7/4 (d) 1 (e) -3/4 (f) -0.1
a
What is the second smallest value in -0.4, -74, -0.13, -7/5, -2?
-2
What is the fourth smallest value in 115, 0.03, -3/2, -15?
115
What is the second smallest value in 3, -52.11, -4?
-4
What is the biggest value in 22, -0.5, 4618, 0.2?
4618
Which is the smallest value? (a) -2/11 (b) -3 (c) -34231
c
What is the second smallest value in -2/21, -0.4, -0.3, 1/8, 157/3, 0.2?
-0.3
What is the second biggest value in -29/12, 7, -10?
-29/12
What is the second smallest value in 154, 1, 1/32, 2, 4?
1
Which is the third smallest value? (a) -139.51 (b) 33 (c) -3 (d) -2
d
What is the fifth biggest value in -0.2, 2/15, 0.1, -4, -299/5?
-299/5
What is the third biggest value in -1, -16, 5, 11925?
-1
What is the biggest value in 0.2, -2/49, -2/11, 45/8?
45/8
What is the smallest value in -5, -0.33, -2/11, 2/2545?
-5
What is the smallest value in 0.1, 0.4, 32496?
0.1
Which is the smallest value? (a) -0.8 (b) -3 (c) -1 (d) 17
b
What is the fourth smallest value in -1.19, 25, 4, -8, 0.3?
4
What is the second biggest value in -2/21, -1/4, 12, -33?
-2/21
What is the third biggest value in 1, 29, -77, -2/9?
-2/9
Which is the smallest value? (a) -5 (b) 659 (c) -1/4 (d) 4
a
What is the fifth smallest value in 1/23, 2/1459, -6, 3, -0.2, -5?
1/23
Which is the fourth biggest value? (a) -0.4 (b) -2/27 (c) 0.1 (d) -2/11
a
What is the smallest value in 1/161, 3/4, -2/3?
-2/3
What is the second biggest value in -0.1, 2, -2/4649, -4, -2/97?
-2/4649
What is the second biggest value in -111, -12, -2/13?
-12
Which is the smallest value? (a) 50/27 (b) -0.23 (c) -0.5
c
What is the fourth smallest value in -2/11, 3, 1/40, -0.06, -2/13, 5?
1/40
What is the fourth smallest value in -132, -2.3, -1, 9?
9
What is the third biggest value in 4, 25344, -4, -3/7, -6?
-3/7
Which is the second smallest value? (a) -353 (b) -1/3 (c) 0.03 (d) -2/5
d
What is the fourth smallest value in -0.2, -3, 0, -0.5, -339?
-0.2
What is the second biggest value in -0.19, -4, 2/5, 3, -0.3?
2/5
Which is the biggest value? (a) -0.32 (b) -1/828 (c) -2
b
What is the second smallest value in -5900/17, 2, -0.2, 3, 1?
-0.2
What is the fourth biggest value in -5/127, 4, 5, 1/4?
-5/127
What is the third biggest value in 1.45, -2/3, 5, 369?
1.45
Which is the third smallest value? (a) -0.1 (b) -1 (c) -4 (d) 0.26
a
What is the third biggest value in 400.4, 21, -5?
-5
Which is the third biggest value? (a) -2/35 (b) 5 (c) -0.1778
c
What is the biggest value in 3.15, 24/17, 3/2?
3.15
What is the biggest value in 223, -0.4, -6, 0.7?
223
What is the fourth biggest value in 3, 0.4, 4632, 33?
0.4
What is the third biggest value in 2/3, -2, 0.02, -9/14, 20?
0.02
Which is the biggest value? (a) 2/59 (b) -5 (c) 3 (d) 126 (e) -2
d
What is the third smallest value in -2/9, -0.1, 2378, 1/5, -0.2?
-0.1
Which is the fourth smallest value? (a) 2/5 (b) 1/4 (c) 1 (d) -3 (e) -8 (f) 25
a
Which is the fourth smallest value? (a) -0.3 (b) -5 (c) -617 (d) 0.3
d
What is the biggest value in -5, -0.09, 272?
272
What is the second smallest value in 188, -19, 3/14?
3/14
Which is the third smallest value? (a) -27 (b) 0.2 (c) 17 (d) 2
d
Which is the fourth biggest value? (a) 2/257 (b) -4/7 (c) 0.5 (d) 0 (e) 5
d
What is the third biggest value in -4, 72, -6, -1/70?
-4
What is the fifth smallest value in -3/5, 1.8, 0.07, 0.1, 4?
4
Which is the second biggest value? (a) 2325 (b) 0.052 (c) 3/5 (d) 1
d
Which is the third smallest value? (a) 335 (b) -0.7 (c) 4 (d) 5
d
Which is the fourth biggest value? (a) 2/9 (b) 0.2 (c) -3 (d) 2/166841 (e) 1/6 (f) -4
d
What is the biggest value in 26, -40, 5, -4, -12?
26
Which is the third biggest value? (a) -3389 (b) 1/4 (c) 1/2
a
What is the second biggest value in 5164
|
{
"pile_set_name": "DM Mathematics"
}
|
Let p(m) = -4*m. Let t(h) = h - 2. Calculate t(p(v)).
-4*v - 2
Let m(g) = -1262*g**2. Let h(d) = 2*d**2. Give m(h(u)).
-5048*u**4
Let p(y) = -55*y**2 + 1. Let s(c) = 2*c**2. Give s(p(q)).
6050*q**4 - 220*q**2 + 2
Let v(c) = c**2. Let b be (4/14)/((-2)/(-14)). Let w(d) = -b*d + 2*d + d - 4*d. Give w(v(p)).
-3*p**2
Let v(z) = 34*z + 6. Let r(a) = 441*a + 77. Let d(p) = -6*r(p) + 77*v(p). Let u(f) = -3*f. Determine d(u(k)).
84*k
Let x(k) = k**2 - 5*k + 5. Let m(z) = -2*z**2 + 8*z - 8. Let o(v) = -5*m(v) - 8*x(v). Let i(l) = -3*l. Determine o(i(n)).
18*n**2
Let z(i) = -7*i**2 - 27. Let l(h) = 8*h. Determine l(z(y)).
-56*y**2 - 216
Let y(t) = 220*t. Let m(b) = -7*b. Determine y(m(z)).
-1540*z
Let n(b) = 2*b**2 + 3*b. Let p(t) = -2*t**2 - 4*t. Let a(z) = -4*n(z) - 3*p(z). Let l(j) = -3*j. What is a(l(o))?
-18*o**2
Let k(q) = -2*q**2. Let y(a) = a - 6. Let i(o) be the second derivative of o**2/2 - 5*o. Let v(x) = -6*i(x) - y(x). Calculate v(k(l)).
2*l**2
Let h(x) = 5*x. Let r(z) = 2*z. Let y(f) = -6*h(f) + 14*r(f). Let k(d) = 6*d**2. Determine y(k(j)).
-12*j**2
Let w(h) = 12*h + 1. Let k be w(-1). Let a(g) = g**2 - 6*g - 6. Let l(f) = 2*f**2 - 11*f - 11. Let p(r) = k*a(r) + 6*l(r). Let i(m) = 2*m**2. Determine i(p(t)).
2*t**4
Let z(h) be the second derivative of h**3/6 + 9*h. Suppose 2*k = -k - 24. Let n(u) = -17*u + 8. Let f(x) = -6*x + 3. Let b(v) = k*f(v) + 3*n(v). Give b(z(m)).
-3*m
Let q(t) = t**2. Let k(j) = 2*j**2 + 10*j. Give q(k(c)).
4*c**4 + 40*c**3 + 100*c**2
Let s(p) be the third derivative of p**4/3 - 34*p**2 + 1. Let u(k) = -10*k**2. Calculate u(s(l)).
-640*l**2
Let h(u) = -31*u. Let o(b) = -185*b. Let d(n) = 35*h(n) - 6*o(n). Let c(j) = j**2. Determine d(c(q)).
25*q**2
Suppose -2*q + 12 = -q - 2*h, 4*q - 28 = 4*h. Let i(r) = 5*r**2 + 0*r**2 + 0*r**2 - 4*r**q. Let b(x) = -2*x. Give i(b(l)).
4*l**2
Let c(v) = 3*v**2. Let m = -3 - -5. Let b(a) = a**2 - a**2 + 3*a**m. Give c(b(h)).
27*h**4
Let q(k) = -634*k**2. Let g(x) = x. What is q(g(u))?
-634*u**2
Let g(z) = -z**2. Let q(k) be the second derivative of 7*k**3/6 + 19*k. What is g(q(x))?
-49*x**2
Let k(c) be the first derivative of c**5/120 - 8*c**3/3 + 1. Let z(w) be the third derivative of k(w). Let a(d) = d. Give a(z(l)).
l
Let x(g) = 5*g**2. Let o(r) be the third derivative of 0*r**3 + 1/24*r**4 + 0 + 0*r - r**2. Determine x(o(u)).
5*u**2
Let f(s) = 6*s**2 + 11*s - 11. Let m(j) = j**2 + 2*j - 2. Let a(n) = 4*f(n) - 22*m(n). Let q(w) = -6*w. Give a(q(h)).
72*h**2
Let f(o) = 3*o. Let t(s) = -175*s**2 - 3*s. What is t(f(w))?
-1575*w**2 - 9*w
Let q(y) = -2*y. Suppose 2*v = -v + 18. Let g(u) = u**2 - u - 1. Let w(s) = -2*s**2 + 3*s + 3. Let d(k) = v*g(k) + 2*w(k). What is d(q(j))?
8*j**2
Let s(p) be the third derivative of p**8/2520 + p**5/30 - 7*p**2. Let r(d) be the third derivative of s(d). Let h(f) = -2*f**2. Give h(r(g)).
-128*g**4
Let n(h) = -h - 27. Let m(p) = -6*p**2. Determine n(m(k)).
6*k**2 - 27
Let v(y) = -3*y. Let a(f) = -59*f**2. Give v(a(l)).
177*l**2
Let g(u) = -2*u - 3. Let q(o) = -13*o. Give g(q(l)).
26*l - 3
Let r(v) be the second derivative of -v**3/3 - v. Suppose -t - 5*g = -6*t + 50, -t = -5*g - 30. Let h(n) = -5*n**2 + t*n**2 - 3*n**2 + 0*n**2. What is r(h(c))?
6*c**2
Let k(o) be the third derivative of o**5/12 - 3*o**2. Let l(a) = a**2. Let g(y) = k(y) - 4*l(y). Let m(i) = 7*i. Calculate m(g(j)).
7*j**2
Let k(x) = -3*x. Let b(n) = -336*n**2. What is b(k(l))?
-3024*l**2
Let k be 2/(-3) + (-8)/(-3). Let i(s) = 1 - 4 + 3 + k*s**2. Let o(r) = 6*r - 4. Let b(d) = d - 1. Let a(p) = -4*b(p) + o(p). Determine i(a(y)).
8*y**2
Let v(b) = 2*b. Let i(o) = o**3 - 4*o**2 - o + 4. Let h
|
{
"pile_set_name": "DM Mathematics"
}
|
0000888904588 to seven dps.
-0.0000889
What is -688115370.2 rounded to the nearest one million?
-688000000
Round 0.0030652988 to 3 decimal places.
0.003
What is -0.00189645314 rounded to seven dps?
-0.0018965
What is 1.2081795393 rounded to four decimal places?
1.2082
Round 242.279732 to one dp.
242.3
What is -7554203.322 rounded to the nearest one million?
-8000000
What is -66115.984 rounded to the nearest ten?
-66120
What is 1079565555 rounded to the nearest one million?
1080000000
What is 0.02206298526 rounded to 6 dps?
0.022063
What is -414.717746 rounded to two dps?
-414.72
Round -388060.3118 to the nearest 10000.
-390000
Round -0.000582929359 to seven dps.
-0.0005829
Round 0.0000020922557 to six dps.
0.000002
What is 0.00000725200236 rounded to seven decimal places?
0.0000073
What is 63105081.15 rounded to the nearest 100000?
63100000
What is -0.0197485455 rounded to three decimal places?
-0.02
What is 52127.5797 rounded to the nearest 100?
52100
What is 0.00026129424 rounded to six decimal places?
0.000261
Round 38.455929 to 2 decimal places.
38.46
Round -53.791281 to zero decimal places.
-54
What is 27025650.49 rounded to the nearest one million?
27000000
What is -44.09185158 rounded to the nearest 10?
-40
What is 891439.117 rounded to the nearest ten?
891440
Round -351978.118 to the nearest one thousand.
-352000
What is -0.01514299398 rounded to 7 decimal places?
-0.015143
Round 6.1168436 to one dp.
6.1
Round 1.75973118 to zero decimal places.
2
Round 0.000000334242534 to seven dps.
0.0000003
What is 1.17275119 rounded to 3 decimal places?
1.173
Round 10.72550414 to zero dps.
11
What is -0.000315957739 rounded to 5 decimal places?
-0.00032
What is -0.178669051 rounded to three decimal places?
-0.179
Round -0.1257151099 to 4 decimal places.
-0.1257
Round -7445060.5 to the nearest ten thousand.
-7450000
What is 3676312.56 rounded to the nearest one hundred thousand?
3700000
Round 5569.53 to the nearest 10000.
10000
Round 0.054686845 to five dps.
0.05469
What is -0.0657511 rounded to 4 decimal places?
-0.0658
Round -0.047729604 to 2 dps.
-0.05
Round -0.004902944 to 3 dps.
-0.005
Round -3447508.39 to the nearest 100000.
-3400000
What is 0.0983222197 rounded to six decimal places?
0.098322
What is 7.44628388 rounded to the nearest integer?
7
What is -0.3823623396 rounded to 2 decimal places?
-0.38
What is -169719.431 rounded to the nearest 100?
-169700
What is 1928792.29 rounded to the nearest 100000?
1900000
Round -8572946900 to the nearest one million.
-8573000000
What is -444647.961 rounded to the nearest ten thousand?
-440000
Round 0.0056588542 to 5 dps.
0.00566
Round -0.0003440322255 to 7 decimal places.
-0.000344
What is -27622350.87 rounded to the nearest 100000?
-27600000
Round 305928.937 to the nearest 1000.
306000
Round -0.63127671 to 2 decimal places.
-0.63
Round 39856.80071 to the nearest 1000.
40000
What is 0.024936042 rounded to three decimal places?
0.025
Round -776690140 to the nearest 1000000.
-777000000
What is -22.6686847 rounded to 2 decimal places?
-22.67
What is 14535.05281 rounded to 0 decimal places?
14535
What is -0.00053722809 rounded to six dps?
-0.000537
What is 852848.293 rounded to the nearest 10?
852850
Round 0.1971621464 to 4 decimal places.
0.1972
What is -8279759.16 rounded to the nearest 1000?
-8280000
What is -0.0007077810374 rounded to six dps?
-0.000708
Round 401621.4957 to the nearest one hundred.
401600
Round -1625446157 to the nearest one hundred thousand.
-1625400000
Round -920.03049 to the nearest 10.
-920
What is -1888769.92 rounded to the nearest 100?
-1888800
What is -3877334.91 rounded to the nearest 1000000?
-4000000
Round -10706.5453 to the nearest ten.
-10710
Round -8792518630 to the nearest one million.
-8793000000
What is -3149.08503 rounded to the nearest one hundred?
-3100
What is -1313.583417 rounded to the nearest 100?
-1300
Round 927.19327 to the nearest integer.
927
What is 25718.34906 rounded to zero decimal places?
25718
What is -9.19658672 rounded to two decimal places?
-9.2
What is 4.91332423 rounded to 4 dps?
4.9133
Round 6.94487704 to the nearest integer.
7
What is 0.00000371943496 rounded to 6 decimal places?
0.000004
Round 2009637.03 to the nearest one hundred thousand.
2000000
What is 0.00000207157444 rounded to 7 dps?
0.0000021
What is 0.1275384737 rounded to four decimal places?
0.1275
Round -18913.62014 to the nearest one hundred.
-18900
What is 6.99508092 rounded to 4 decimal places?
6.9951
Round -0.007700606928 to 7 decimal places.
-0.0077006
Round -11.8187775 to 3 decimal places.
-11.819
What is -121669.764 rounded to the nearest 100?
-121700
What is -146.043711 rounded to 2 decimal places?
-146.04
Round 1142299327.9 to the nearest one hundred thousand.
1142300000
What is -0.0050474598 rounded to 6 dps?
-0.005047
What is -0.290122 rounded to the nearest integer?
0
What is -85.230232 rounded to 1 dp?
-85.2
What is -0.00074790614 rounded to 5 dps?
-0.00075
What is -5758712.128 rounded to the nearest 100?
-5758700
Round -1531084.548 to the nearest 10000.
-1530000
What is 4473271.084 rounded to the nearest 100?
4473300
Round 24241.8545 to the nearest 100.
24200
What is 702.1055 rounded to the nearest integer?
702
Round 0.014892359325 to 5 dps.
0.01489
What is 3703.94622 rounded to the nearest 1000?
4000
What is -0.00231229821 rounded to 5 dps?
-0.00231
What is -0.0003847781491 rounded to four dps?
-0.0004
What is -14463389000 rounded to the nearest 100000?
-14463400000
What is -1244.0112775 rounded to the nearest 100?
-1200
What is 1.5054437098 rounded to 4 dps?
1.5054
Round 0.1292583424 to five dps.
0.12926
What is -389.12967 rounded to the nearest integer?
-389
What is 0.000273960452 rounded to 7 dps?
0.000274
What is -0.00048941512 rounded to 6 dps?
-0.000489
What is 0.05387689827 rounded to 5 decimal places?
0.05388
What is 0.0008436475
|
{
"pile_set_name": "DM Mathematics"
}
|
(d) = f*d + d + d + 0*d. Let m(y) = -2*y. Determine m(p(r)).
-4*r
Let d(g) = -g**2. Let c(v) = -3*v**2. Let t(s) = 2*c(s) - 5*d(s). Let k(r) = 8*r. Give k(t(m)).
-8*m**2
Let x(i) = 2*i**2. Let a(r) = -3*r + 0*r - r. What is x(a(w))?
32*w**2
Let w(n) = -9 + 9 + n. Let f(r) be the third derivative of 0*r**3 + 0*r + 0*r**4 + 1/60*r**5 + 0 + r**2. Give f(w(p)).
p**2
Suppose 0 = -7*x + 2*x + 440. Let n(w) = -88 + x + 3*w. Let l(f) = -2*f + 3. Let o(i) = -5*i + 7. Let t(c) = -7*l(c) + 3*o(c). What is n(t(h))?
-3*h
Let y(p) = -9*p. Let r(t) be the third derivative of -t**4/4 - 19*t**2. Give y(r(i)).
54*i
Let n(k) = -k - 1. Let m(h) = 3*h + 4. Let w(r) = m(r) + 4*n(r). Let q(u) = 3*u + 5. Let s(i) = 2*i + 3. Let t(g) = 3*q(g) - 5*s(g). What is t(w(f))?
f
Let o(p) = 3*p + 4. Let i be -2 + -7*2/(-2). Let c(w) = w. Let h be c(-4). Let b(z) = 4*z + 5. Let u(j) = h*b(j) + i*o(j). Let d(n) = -n**2. Give d(u(m)).
-m**2
Let q(b) be the first derivative of 3*b**2 - 1. Let r(v) = -v**2 + 3. Let f(h) = -2*h**2 + 5. Let o(t) = -3*f(t) + 5*r(t). What is o(q(p))?
36*p**2
Let w(r) be the first derivative of 2*r**3/3 + 10. Let z(m) = 4*m - 4*m + 3*m**2. What is w(z(i))?
18*i**4
Let n(j) = -4 + j**2 + 4. Let d(g) = 5*g - 10*g + 7*g + 5*g. Give d(n(m)).
7*m**2
Let p(w) = -3*w**2. Let x(m) = m - 6. Let a(l) = -2. Let q(i) = -2. Let o(g) = 3*a(g) - 2*q(g). Let f(h) = -6*o(h) + 2*x(h). What is p(f(k))?
-12*k**2
Let s(i) be the first derivative of i**2 - 4. Let l(p) = -11*p. Calculate l(s(g)).
-22*g
Let j(n) = -3*n - 1. Let l be j(-1). Let p(d) = 1 - 1 + d**l. Let t(q) be the third derivative of q**5/10 - 10*q**2. Calculate t(p(y)).
6*y**4
Let q(m) = 3*m**2 - 6*m. Let y(b) = 7*b**2. What is q(y(z))?
147*z**4 - 42*z**2
Let q(m) = -m. Let s(y) = 25*y**2 + 24*y. Give q(s(c)).
-25*c**2 - 24*c
Let d(l) = -9*l**2 + 12*l**2 - 10*l**2. Let y(r) = -3*r. Give y(d(j)).
21*j**2
Let c(l) = l + 41. Let y(q) = 13*q**2 - 4*q. Determine y(c(w)).
13*w**2 + 1062*w + 21689
Let u(y) = -13*y + 5. Let g(k) = -6*k + 2. Let v(b) = -5*g(b) + 2*u(b). Let c(n) = -2*n. Determine c(v(r)).
-8*r
Let p be (-62)/(-10) - 4/20. Let k(q) = -q - p + 6. Let u(z) = 2*z**2 + 0*z**2 - 5*z**2. What is u(k(v))?
-3*v**2
Let f(m) = -2960*m. Let n(b) = -2*b**2. What is f(n(u))?
5920*u**2
Let r(u) = -u - 8*u + 14*u - 3*u. Let g(z) = 0 - z**2 + 4 - 4. Determine r(g(q)).
-2*q**2
Let v(l) = l**2. Let d be ((-2)/2)/((-1)/(-7)). Let k = 9 + d. Let p(i) = -3*i + i - 4*i + k*i. What is v(p(t))?
16*t**2
Let o(t) = 37*t. Let y(d) be the second derivative of -d**4/6 + 10*d. Calculate y(o(q)).
-2738*q**2
Let k(p) be the second derivative of -p**3/6 + 4*p. Suppose 0 = -0*y + 5*y. Let n(l) = -2*l + 0*l + y*l. Give k(n(d)).
2*d
Let k(x) = -2*x + 18. Let t(v) = 9*v**2. Calculate t(k(b)).
36*b**2 - 648*b + 2916
Let f(i) = -158*i**2. Let l(r) = 24*r**2. What is l(f(m))?
599136*m**4
Let u(w) = -8*w + 11. Let r(v) = 3*v - 4. Let l(y) = -11*r(y) - 4*u(y). Let p(k) = 13*k - 11. Let q(h) = -7*h + 6. Let i(z) = -6*p(z) - 11*q(z). Give i(l(o)).
o
Let k(r) = -5*r**2. Let p(l) = 3*l**2 + 6*l + 6. Let h(q) = 2*q**2 + 7*q + 7. Let f(j) = -6*h(j) + 7*p(j). Calculate f(k(x)).
225*x**4
Let h(j) = 2*j**2. Let n(v) = -12*v**2 - 10*v. Let u(o) = -4*o**2 - 3*o. Let a(l) = 6*n(l) - 20*u(l). Give h(a(s)).
128*s**4
Let w(o) = 2*o - 4. Let m be w(3). Let b(g) = -2*g**2 - 5*g**m + 5*g**2. Let n(v) = 3*v. Give n(b(p)).
-6*p**2
Let r(c) = 2*c. Let q = 0 - -11. Suppose 4*a = 5 + q. Let s(h) = 3*h + 0*h - a*h. Give r(s(p)).
-2*p
Let u(l) = -l. Let m = -271/2 + 138. Let j(h) be the first derivative of 0*h - m*h**2 + 3.
|
{
"pile_set_name": "DM Mathematics"
}
|
t f = k - x. Is f a prime number?
False
Suppose 14*b - 28423 + 2901 = 0. Is b a prime number?
True
Let o = -2742 - -4179. Is o a composite number?
True
Let j = -4181 - -37100. Is j a composite number?
True
Let x(o) = o**3 + 7*o**2 + 9*o - 4. Let b be x(-5). Suppose -5*m = -2*z - 21, -21 = -5*z + 2*z - 3*m. Is 38/z*b/1 prime?
True
Is 429902/110 + 6/(-5) a composite number?
False
Suppose 185*i - 152*i - 3967095 = 0. Is i a composite number?
True
Let f be 36/2*(-24)/(-48). Suppose 5705 = f*p - 352. Is p composite?
False
Let i(b) = 24*b**2 + 115*b - 132. Is i(-50) composite?
True
Let c = -14370 + 24183. Is c a composite number?
True
Let s be 12/(-15)*(-5)/2. Suppose -6*b = -s*b - j - 811, -5*j = 4*b - 817. Is b a prime number?
False
Let w(i) = 345*i + 11. Let g(b) = 6*b + 26. Let l be g(-4). Is w(l) a composite number?
False
Suppose 10033 = 2*g + 5*x, 0 = -4*g - 2*x + 5012 + 15046. Suppose 4082 = 8*u - g. Is u a prime number?
False
Suppose 3*q + 15367 + 26853 = 4*s, -s = -4*q - 10555. Is s prime?
False
Let n(r) = r**2 - 13*r - 18. Let v be n(14). Let p(q) = 9*q**2 + 3*q - 5. Let u be p(v). Suppose 0 = 4*z - 5*g - 90, 0*z - g = 5*z - u. Is z a composite number?
True
Let w(l) = 18*l**2 + 20. Let m be w(9). Suppose -x = -3*x + m. Is x composite?
False
Suppose 0 = -4*a + 3*a. Suppose a = 6*n - 10 - 2. Is (-1324)/(-6)*3/n a prime number?
True
Is 47761/(28/(-7) + 5) prime?
False
Let r(n) = n**3 - 5*n**2 + n - 8. Let f be r(4). Is (1895/f)/(-1)*4 a composite number?
False
Let n(y) = -y**3 - y**2 + 1. Let o(w) = 3*w**3 + 6*w**2 - 4*w + 8. Let b(u) = 2*n(u) + o(u). Is b(9) prime?
False
Let b(y) = -y**3 + 2*y**2 - 6*y. Let q(k) = -2*k**2 + 7*k - 1. Let a(l) = 3*b(l) + 2*q(l). Suppose -3*n - 2 = 7. Is a(n) a composite number?
False
Suppose 47*f = 93*f - 2903198. Is f a composite number?
False
Is -6 + 9 - -5047 - -1 a prime number?
True
Let k be ((-27)/6)/(-1)*-6. Let j be -1*(2 + -76) - 0. Let q = j + k. Is q a composite number?
False
Suppose 3*b - 22 = -2*n + 6*n, 3*n - 4*b + 20 = 0. Is n - (4 - 495) - 2 a prime number?
False
Suppose 2*a - 5*v - 30 = 0, -5*a + 2*v = -4*a - 13. Suppose -6*x + a*x + 311 = 0. Is x a composite number?
False
Let m(b) = 467*b - 2. Suppose 0*g + 20 = -4*g, -3*g - 3 = 4*r. Is m(r) prime?
True
Suppose -3*t - 2*r = -75299, -2*t - 75304 = -5*t - r. Is t prime?
False
Suppose -2*k + 27912 = -2*v, 2 = 4*v - 2. Is k composite?
True
Let d be 4 + 0/(3 - 0). Suppose -d*x - u + 3*u = 2, u - 5 = 0. Is -1*(-30 - 1)*x a prime number?
False
Is (-1345)/(-3) + -1*(-2)/3 prime?
True
Suppose 0 = -2*a + 6*a + 2*h - 16, -2*a + 4*h = 2. Suppose -a*w + 1281 = -5*g, 0 = -3*g + 5*w - w - 773. Is 4/(-22) + g/(-11) a prime number?
True
Let j(i) = -8483*i**3 - 2*i**2 - 6*i - 4. Is j(-1) composite?
True
Let j(k) = 52*k**2 - 39*k - 357. Is j(-16) prime?
False
Suppose 0 = -0*i + 3*i + 5*y - 11025, 3*i - 11013 = -y. Let j = i + -1909. Suppose w + m - 587 = 4*m, -3*w + j = -3*m. Is w prime?
True
Let l(r) = r - 5. Let d be l(5). Suppose 0 = -g - d*g + 535. Is g a composite number?
True
Suppose 1011 + 249 = -10*q. Let w = q - -272. Is w prime?
False
Suppose 2*k = -5*q + 66947, -40168 = -3*q + 8*k - 9*k. Is q composite?
True
Let a be (-5)/2 - (-32406)/44. Suppose -3*w + 61 = -a. Is w composite?
True
Is 6*6/(-24) + 16370/4 a composite number?
False
Let r(c) = -c**2 - 11*c + 29. Let l be r(-13). Suppose l*u - 306 = 921. Is u a prime number?
True
Is ((-2779)/(-4))/((-6)/(-24)) composite?
True
Let j = -268 - -475. Suppose -3*d + 5*d + 30 = 0. Is (j/15)/((-3)/d) a prime number?
False
Let o = 53 + -17. Let f be (-4)/(-18) - (-172)/o. Suppose 0 = -4*y + 4*c + 520, f*c = 3*y - 0*c - 388. Is y composite?
False
Let s be (48/1)/4 - 5. Suppose -6*y + 15 = -y. Let r = s - y. Is r a composite number?
True
Suppose 3*m - 13337 = p, 3*m = -p + 3*p + 13342. Suppose -v - 1148 = -j, 0 = -3*j + 4*v - 997 + m. Is j composite?
True
Is (-636)/(-53) + 8245 + 2 a prime number?
False
Let d(n) = 170*n**3 - 4*n**2 + 1. Let f be d(3). Suppose -5*x = -f - 1230. Is x composite?
True
Let l = -196 + 394. Suppose 2*d - 84 = l. Is d composite?
True
Let u = 4341 - 988. Is u a composite number?
True
Let m be 16/(-8)*(-21)/(-6). Let w(g) = -4*g**3 + 8*g**2 + 2*g + 9. Is w(m) prime?
True
Let x(z) = -z + 4. Let m be x(2). Let q = 6 - m. Suppose 0 = -0*t - q*t + 3068. Is t a composite number?
True
Let l = -24 - 703. Let i = 1386 + l. Is i composite?
False
Let x(w) = w**2 + 3*w + 3. Let q be (-6 - 3)*(-4)/6. Suppose 2 = -o - q. Is x(o) a composite number?
|
{
"pile_set_name": "DM Mathematics"
}
|
be v + -1 - (-2)/1. Let c be 10/(-6) + l/(-3). Sort c, 6, 1 in decreasing order.
6, 1, c
Let k = -0.17 - 7.83. Put -4, k, -2 in ascending order.
k, -4, -2
Let a = -29758056 - -142392297332/4785. Let x = a + -2/957. Sort x, -2/7, -5 in decreasing order.
x, -2/7, -5
Let u = 87 - 87.47. Let n = u + -0.03. Let b = 13 - 9. Sort n, -2/11, b in decreasing order.
b, -2/11, n
Let b = -15 + 26. Put 5, 3, b in descending order.
b, 5, 3
Let r(f) = -f + 145. Let g be r(0). Let a be 4 + -1 - g/45. Suppose 8 - 4 = -4*y. Sort a, 1/12, y in decreasing order.
1/12, a, y
Suppose -5*d - 14 = -5*t + 11, -5*d = -2*t + 19. Put t, -5, -4, 0 in ascending order.
-5, -4, 0, t
Let i(n) = 2*n**2 + 3*n + 3. Let q be i(-1). Sort 3/7, q, -1/4, 5.
-1/4, 3/7, q, 5
Let d(u) = u + 4. Let r be d(-3). Let q = 646 - 642. Sort q, r, 0 in descending order.
q, r, 0
Suppose s + 3 + 1 = 0. Suppose -3*b + 4 = t, -3*b + 5*b = 4*t + 26. Put b, s, -1 in increasing order.
s, -1, b
Let f = -10.4 - -10. Put -2/3, f, 2/11 in increasing order.
-2/3, f, 2/11
Let j = -101 - -98. Sort j, 5/3, 1/3, -1/7 in decreasing order.
5/3, 1/3, -1/7, j
Let b = -0.4 - 0.1. Let k = -357 + 352. Sort k, 0, b in ascending order.
k, b, 0
Let j be (-34)/(-8) - 2/8. Let v be 0/(3/(-2 + 3)). Suppose v = x + 1 + 4. Put 0, j, x in ascending order.
x, 0, j
Let u be 10/8*(6 - 2). Let f = -6.94 + 7. Let o = f - 0.06. Sort u, o, 0.2 in ascending order.
o, 0.2, u
Let a = 13/30 + 9/10. Let r = 2.4 - -0.6. Sort 2/15, r, a.
2/15, a, r
Suppose -5*g - 13 + 43 = 0. Let m = g + -3. Sort -1, m, 2 in descending order.
m, 2, -1
Let c = 15 + -14. Sort -3, -2, c.
-3, -2, c
Let s(f) be the third derivative of -f**6/120 - f**5/15 + f**4/6 + 5*f**2. Let q be s(-5). Sort -6, 2, q in increasing order.
-6, 2, q
Suppose 0 = 4*w + r + 8 + 8, -r - 10 = 2*w. Put w, 0.1, -1/4 in increasing order.
w, -1/4, 0.1
Let p be -1*(-4)/18*3. Let q(x) = x**3 + 7*x**2 + 5*x + 2. Let d be q(-6). Let w be (2/d)/(21/(-24)). Put w, -1, p in descending order.
p, w, -1
Let g = 4 + 12. Suppose -l - 4*s = 3*l + g, 2 = 2*s. Sort -4, 0, l in descending order.
0, -4, l
Let f = -4 + 5. Let h = f - 6. Put h, 4, 5 in increasing order.
h, 4, 5
Let k(g) = 9*g - 27. Let f be k(3). Put -25, f, -3 in decreasing order.
f, -3, -25
Let r(c) = -c**2 - c - 25. Let h be r(0). Let p = h - -20. Sort -1, 1, p in decreasing order.
1, -1, p
Let q(o) = o**2 - o - 2. Let p be q(2). Let m = -1 + p. Suppose -l = t - 8, -l = t + t - 11. Sort 0, m, l.
m, 0, l
Let u = 15/13 + -144/91. Sort u, 1/2, -4 in descending order.
1/2, u, -4
Let s = -0.08 + 0.08. Let c = s + -0.2. Sort -2/7, c, 0.1 in descending order.
0.1, c, -2/7
Let g(p) = -p**3. Let m be g(0). Let b(f) = 3*f**3 + f**2 + f. Let s be b(2). Let w be 2/15 - 64/s. Put m, w, -1 in descending order.
m, -1, w
Suppose 0 = -5*c - 0 + 30. Let h be c/(-39) - 126/26. Sort h, 5, -3.
h, -3, 5
Let u(m) = -m**3 + 13*m**2 - m + 16. Let g be u(13). Suppose 2*z = g*z - 5. Sort -4, 4, z in decreasing order.
z, 4, -4
Suppose 5*r - 4*r = 4, k - 15 = -3*r. Put -5, 1, 4, k in increasing order.
-5, 1, k, 4
Suppose -61 = 8*o + 59. Sort -2, o, 1 in ascending order.
o, -2, 1
Let w(j) = j**3 + 6*j**2 - 7*j + 2. Let z be w(-7). Put 0, z, 1, 3 in decreasing order.
3, z, 1, 0
Suppose 0*a - 3*a - 36 = 0. Let q be 1 - (0 + a/(-3)). Sort q, 4, -2 in decreasing order.
4, -2, q
Let c = 0.09 - 0.07. Let y = -0.52 + c. Suppose i = -0*i. Sort i, y, 2 in descending order.
2, i, y
Let m = 0.54 - 0.04. Suppose -8 = -4*d - 4*r, -5*d = r + r - 7. Sort m, d, -3 in decreasing order.
d, m, -3
Let v be 1/3 + (-11)/(-3). Let j = 18 + -18.3. Sort -1, v, j in increasing order.
-1, j, v
Let o be (-78)/63 + (-2)/(-3). Let j = -5.2 + 7. Let m = 0.8 - j. Sort m, o, 1/3.
m, o, 1/3
Let f = 21 + -24. Let l = 1.9 + -2. Let j = l + 0.2. Put f, -2, j in ascending order.
f, -2, j
Let w be ((-4)/17)/(-4)*2. Let l = -2 - -2. Put w, l, -0.5 in decreasing order.
w, l, -0.5
Suppose 2*h + 2*c - 1 - 3 = 0, 4*c = -12. Suppose 70 = -2*v + 78. Put v, h, 3 in ascending order.
3, v, h
Let d = -3.95 + -0.05. Let i(o) = -o**3 + 6*o**2 - 4*o + 5. Let f be i(5). Suppose f = 2*t - 7*t + 5*y, 0 = t + 4*y - 3. Sort d, 0, t in decreasing order.
0, t, d
Let c(z) = -3*z + 5. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
8/55
Calculate prob of picking 2 x when two letters picked without replacement from {c: 3, a: 1, x: 4}.
3/14
Three letters picked without replacement from {f: 3, z: 3}. What is prob of picking 1 z and 2 f?
9/20
Calculate prob of picking 2 g and 2 q when four letters picked without replacement from ccggjcqqppjgrcp.
1/455
Calculate prob of picking 1 q and 2 s when three letters picked without replacement from {p: 1, s: 3, q: 1}.
3/10
Two letters picked without replacement from oovvvvoovvvvoovoooo. What is prob of picking 2 v?
4/19
What is prob of picking 1 l, 1 f, 1 g, and 1 z when four letters picked without replacement from zzzgfgzsszlszglgmz?
14/765
Three letters picked without replacement from kllllkklllkllkll. Give prob of picking 2 l and 1 k.
55/112
What is prob of picking 2 p and 2 c when four letters picked without replacement from {c: 4, p: 3}?
18/35
What is prob of picking 2 s and 1 q when three letters picked without replacement from {q: 9, s: 3}?
27/220
What is prob of picking 1 v and 1 l when two letters picked without replacement from flfflffvvlfvlvlfffl?
8/57
Calculate prob of picking 2 v when two letters picked without replacement from vvvv.
1
Four letters picked without replacement from dtdtddddddddddtd. What is prob of picking 1 d and 3 t?
1/140
Four letters picked without replacement from {a: 2, l: 7, c: 3}. Give prob of picking 2 l and 2 a.
7/165
Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {q: 1, w: 14}.
2/15
What is prob of picking 2 w and 1 h when three letters picked without replacement from {h: 11, w: 9}?
33/95
Two letters picked without replacement from iggiiii. Give prob of picking 2 g.
1/21
What is prob of picking 1 k and 1 m when two letters picked without replacement from {m: 12, k: 1}?
2/13
Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {y: 1, j: 1, z: 5, q: 4, l: 3}.
5/91
What is prob of picking 1 d and 1 j when two letters picked without replacement from gdddejedpde?
1/11
Three letters picked without replacement from iccccciicc. Give prob of picking 2 i and 1 c.
7/40
Four letters picked without replacement from {u: 4, k: 7, o: 1, g: 6, m: 2}. What is prob of picking 2 m, 1 k, and 1 g?
14/1615
Three letters picked without replacement from zlzzzllllzzzz. What is prob of picking 3 l?
5/143
Three letters picked without replacement from {w: 1, x: 17, b: 1}. Give prob of picking 1 b and 2 x.
8/57
What is prob of picking 3 m and 1 a when four letters picked without replacement from {m: 3, a: 4, u: 4, t: 3, p: 6}?
4/4845
Calculate prob of picking 2 w when two letters picked without replacement from wawwwwwwawaw.
6/11
Three letters picked without replacement from {y: 6, l: 4}. What is prob of picking 1 l and 2 y?
1/2
What is prob of picking 2 s and 1 p when three letters picked without replacement from {c: 3, o: 3, s: 9, p: 2}?
9/85
Three letters picked without replacement from wawwaaawwawaawaawawa. Give prob of picking 3 a.
11/76
Two letters picked without replacement from {b: 2, d: 1, k: 2}. What is prob of picking 2 k?
1/10
Two letters picked without replacement from {t: 4, z: 2, d: 1, o: 3, h: 4, w: 6}. Give prob of picking 2 o.
3/190
Calculate prob of picking 1 f, 1 g, and 2 y when four letters picked without replacement from {c: 2, y: 2, m: 3, g: 9, f: 1, p: 1}.
1/340
Two letters picked without replacement from sidzdddddsdddeddzd. What is prob of picking 1 i and 1 z?
2/153
What is prob of picking 2 z when two letters picked without replacement from zzzz?
1
What is prob of picking 1 u and 1 g when two letters picked without replacement from {u: 1, v: 1, a: 1, n: 3, k: 8, g: 2}?
1/60
Three letters picked without replacement from eafffeaaiafaahimaeae. Give prob of picking 1 e, 1 i, and 1 f.
8/285
What is prob of picking 2 v and 1 a when three letters picked without replacement from vssaaavsasvs?
3/55
Three letters picked without replacement from vvdzvdvz. What is prob of picking 1 v and 2 z?
1/14
Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwfw.
5/8
Calculate prob of picking 2 r when two letters picked without replacement from ccrrrcccccrccrcccc.
10/153
Four letters picked without replacement from oagoaoag. What is prob of picking 3 o and 1 a?
3/70
Calculate prob of picking 1 b and 2 d when three letters picked without replacement from ddbbbbbbb.
1/12
Calculate prob of picking 1 p, 2 j, and 1 r when four letters picked without replacement from {p: 2, r: 3, j: 3}.
9/35
Two letters picked without replacement from {a: 6, v: 2}. Give prob of picking 2 v.
1/28
Calculate prob of picking 3 w when three letters picked without replacement from wwwwww.
1
What is prob of picking 1 l, 1 p, and 1 t when three letters picked without replacement from vbvlbpblvslbbbt?
3/455
Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {l: 2, c: 11, u: 2}.
4/105
Three letters picked without replacement from yyyfyyyyyyffyyyyyfyy. Give prob of picking 1 f and 2 y.
8/19
What is prob of picking 2 n and 1 q when three letters picked without replacement from nnqqnnnnnqqnnnnnqnnn?
35/76
Two letters picked without replacement from emqe. What is prob of picking 1 q and 1 e?
1/3
Three letters picked without replacement from {e: 1, o: 2, i: 1, a: 2}. Give prob of picking 2 i and 1 o.
0
Calculate prob of picking 1 m and 1 h when two letters picked without replacement from hmhpp.
1/5
Three letters picked without replacement from ggkkrgggggrkrkdkk. What is prob of picking 2 r and 1 g?
21/680
What is prob of picking 2 v and 2 a when four letters picked without replacement from zzzvzvvava?
1/35
Four letters picked without replacement from ighyilyww. What is prob of picking 1 g, 1 i, and 2 y?
1/63
Two letters picked without replacement from {u: 9, w: 9}. Give prob of picking 1 w and 1 u.
9/17
Calculate prob of picking 3 v and 1 q when four letters picked without replacement from {g: 4, v: 11, q: 3}.
11/68
Three letters picked without replacement from ocoxgcxeexcooegcg. What is prob of picking 3 g?
1/680
Four letters picked without replacement from vvvvovvvvooogovvvvvv. Give prob of picking 2 o, 1 v, and 1 g.
28/969
Three letters picked without replacement from rbdybrpi. What is prob of picking 1 y and 2 r?
1/56
What is prob of picking 2 s when two letters picked without replacement from gssgu?
1/10
Calculate prob of picking 1 y and 1 i when two letters picked without replacement from hpyppphbi.
1/36
What is prob of picking 2 s when two letters picked without replacement from {s: 5}?
1
Four letters picked without replacement from qzkiikpzzikkkz. What is prob of picking 1 i and 3 z?
12/1001
Two letters picked without replacement from {f: 1, m: 1, o: 1, b: 1, u: 6, d: 1}. What is prob of picking 2 u?
3/11
What is prob of picking 1 r and 3 g when four letters
|
{
"pile_set_name": "DM Mathematics"
}
|
r**4/12 - 45*r**3/2 + 175*r + 18. Let c(v) be the first derivative of z(v). Let c(w) = 0. What is w?
0, 27
Let 18*u**3 - 36 - 4*u + 5*u + 39*u**2 - 5*u**2 - 8*u - 11*u + 2*u**4 = 0. What is u?
-6, -3, -1, 1
Let m(v) be the third derivative of 0*v + 0 + 31/25*v**5 - 4418/15*v**3 - 1/150*v**6 - 141/2*v**4 + 118*v**2. Determine t so that m(t) = 0.
-1, 47
Suppose -52*j = 67*j. Let m(f) be the third derivative of 1/15*f**5 + j*f + 0 - 2*f**2 + 50/3*f**3 - 5/3*f**4. What is d in m(d) = 0?
5
Let n(y) be the first derivative of -y**4/2 + 60*y**3 + 183*y**2 + 184*y - 818. Suppose n(a) = 0. What is a?
-1, 92
Let i be (20/60)/((-20)/(-6)) - (-3159)/810. Let 2/15*v**2 + i*v - 62/15 = 0. Calculate v.
-31, 1
Let c(w) = -4*w**2 - 36*w + 6. Let z(s) = -3*s**2 - 33*s + 4. Let k(n) = -2*c(n) + 3*z(n). Factor k(o).
-o*(o + 27)
Let w = -77 + 19. Let z = w - -60. Determine r so that -r**3 + 8*r**z - 12*r**4 + 10*r**3 + 11*r**3 = 0.
-1/3, 0, 2
What is p in 58459*p**2 - 1806*p - 59855*p**2 - 998*p - 1404 + 4*p**3 = 0?
-1, 351
Let i(o) be the second derivative of 5*o**7/168 + 3*o**6/4 + 27*o**5/4 + 595*o**4/24 + 245*o**3/8 - 2275*o. Suppose i(w) = 0. Calculate w.
-7, -3, -1, 0
Factor 222 - 81226*d - 4*d**2 + 79838*d + 378 - 24*d**2.
-4*(d + 50)*(7*d - 3)
Let z be (-55 - -1)*50/175*7/(-6). Factor -21*c + 5/2*c**2 - z + 25/4*c**3.
(c - 2)*(5*c + 6)**2/4
Let v(z) be the third derivative of 1/168*z**8 - 79*z**2 + 0 + 0*z**3 + 0*z - 1/2*z**5 + 0*z**4 - 13/105*z**7 - 29/60*z**6. Factor v(o).
2*o**2*(o - 15)*(o + 1)**2
Find n such that -3722*n + 20480 + 46*n**3 + 240*n**2 + 46*n**3 - 1078*n - 87*n**3 = 0.
-64, 8
Let j be (-1 - -2)*((-193)/(-1737))/(2/1032). Determine z so that -16*z + j*z**3 + 0 + 112/3*z**4 + 20/3*z**5 + 32/3*z**2 = 0.
-3, -2, -1, 0, 2/5
Let h(f) be the first derivative of -76 + 0*f**2 + 0*f + 2/35*f**5 + 3/14*f**4 + 0*f**3. Suppose h(q) = 0. Calculate q.
-3, 0
Let y = -67 - -41. Let l = 28 + y. Determine p, given that -p - 58*p**3 + 57*p**3 - p**2 - 4*p**l - 3*p = 0.
-4, -1, 0
Let u(p) be the third derivative of -p**8/560 + 29*p**7/350 - 129*p**6/100 + 152*p**5/25 + 112*p**4/5 + 83*p**2 - 5*p. What is x in u(x) = 0?
-1, 0, 8, 14
Let x(a) be the first derivative of 0*a - 8/9*a**3 + 44 + 0*a**2 - 1/18*a**4. Factor x(v).
-2*v**2*(v + 12)/9
Determine d so that 11/2*d + 1/2*d**3 - 35 + 5*d**2 = 0.
-7, -5, 2
Let p = 292676 - 292676. Let -2/5*x**4 + 6/5*x**5 + p*x + 2/5*x**2 + 0 - 6/5*x**3 = 0. Calculate x.
-1, 0, 1/3, 1
Factor -59*y**2 + 2*y**2 + 945 + 867*y - 24*y**2 - 14350*y**3 + 14347*y**3.
-3*(y - 9)*(y + 1)*(y + 35)
Factor 9/5 - 6/5*s - 11/5*s**2 + 4/5*s**3.
(s - 3)*(s + 1)*(4*s - 3)/5
Let i(d) be the second derivative of -d**4/4 - 1073*d**3 - 3453987*d**2/2 + 9*d + 244. Determine s, given that i(s) = 0.
-1073
Let l = -2 - -5. Suppose -3*t = 4*i - 17, -14 = i - 4*t - 4. Factor -4*j**i + 2*j**3 - j**2 - 84*j**4 + 8*j**l + 79*j**4.
-5*j**2*(j - 1)**2
Let l be (-552*2 - 2)/(-3 - -5). Let p = l - -557. Determine w, given that 2/5*w**p + 4/15*w**3 + 2/5 - 2/15*w**5 - 2/15*w - 4/5*w**2 = 0.
-1, 1, 3
Let q(i) be the second derivative of i**7/70 + i**6/10 - 3*i**5/50 - 7*i**4/5 - 4*i**3/5 + 48*i**2/5 + 10*i - 4. Solve q(u) = 0.
-4, -2, 1, 2
Factor 4/7*q**2 + 0 + 404/7*q.
4*q*(q + 101)/7
Suppose -7*h + 9 = 2*h. Let p(l) = l**4 - l**3 - l. Let o(q) = 20*q**4 - 4*q**3 - 24*q**2 - 2*q. Let b(d) = h*o(d) - 10*p(d). Let b(v) = 0. What is v?
-2, 0, 2/5, 1
Let p = 862 + -852. Suppose -5*a - 2*r + p = 0, 3*a - 3 - 3 = 4*r. Factor -8/9*y - 8/9 - 2/9*y**a.
-2*(y + 2)**2/9
Let k(b) = -b**3 + 11*b**2 + 79*b + 17. Let v be k(16). Let y be (3/(-10))/(v/(-20)*8). What is t in -15/4*t + y*t**2 + 9/4 + 3/4*t**3 = 0?
-3, 1
Suppose 5*u - 32 = -4*i, u + 2*i + 44 = 6*u. Suppose u*o = 36 - 12. Let -t**o - 1/6*t**4 - 5/3*t - 2*t**2 - 1/2 = 0. Calculate t.
-3, -1
Let l
|
{
"pile_set_name": "DM Mathematics"
}
|
to -2? (a) 0.5 (b) 28 (c) -0.7 (d) 0
c
Which is the nearest to -2? (a) 1/12 (b) 32.3 (c) -4
c
Which is the closest to 10? (a) -1/3 (b) 0.2 (c) -2 (d) -1/2
b
Which is the nearest to -3? (a) 1/3 (b) -2 (c) -2/9 (d) 3
b
Which is the nearest to -3? (a) -5 (b) -5/4 (c) -0.1
b
What is the nearest to 0 in 2/11, -1/4, -8, -2?
2/11
Which is the closest to -2? (a) -1/7 (b) 1 (c) 1/14 (d) 3
a
Which is the closest to 31? (a) -0.2 (b) -1 (c) -3 (d) 0.4
d
Which is the closest to 0? (a) 1/2 (b) 4/51 (c) -6
b
Which is the closest to 1/2? (a) 3/8 (b) -0.1 (c) 1/5 (d) 0.3
a
Which is the closest to 7? (a) -4/37 (b) 0.2 (c) -3
b
Which is the nearest to 1? (a) -4 (b) -0.1 (c) 2253 (d) 0.3
d
What is the closest to 0 in 0.5, -2/5, 1, -0.1?
-0.1
What is the nearest to -1 in -3, -4, -0.2, 2.4?
-0.2
Which is the nearest to 0.1? (a) -3 (b) -0.2 (c) 4 (d) 6
b
What is the nearest to 113 in -1, -2, 1/2?
1/2
Which is the closest to 0? (a) 1/10 (b) 5/3 (c) 18
a
Which is the closest to 0.6? (a) -2/13 (b) 1/4 (c) -0.9
b
Which is the nearest to 16? (a) -3 (b) -0.4 (c) -4/5 (d) 5
d
Which is the closest to 1? (a) -1 (b) 9 (c) 2/11 (d) 0.3
d
Which is the nearest to -2? (a) -0.47 (b) 2 (c) 0.9
a
Which is the closest to 0.008? (a) 2/5 (b) 44 (c) -2
a
Which is the closest to -1/3? (a) -1 (b) 0 (c) 1/4 (d) -8
b
Which is the closest to -2/3? (a) -0.8 (b) 4 (c) -1/3 (d) -5
a
Which is the closest to 0? (a) 10 (b) -0.08 (c) 4/9 (d) 4
b
What is the nearest to 1/4 in 1/151, -2/3, -3?
1/151
What is the closest to 5 in 4, 0.003, -0.5, -1?
4
What is the closest to 0 in 1/4, -4/3, -5, 0.19?
0.19
What is the nearest to -2/221 in 5, -1/2, -3?
-1/2
Which is the closest to -2/21? (a) -1/2 (b) -3 (c) 2/7 (d) 4
c
Which is the nearest to -2? (a) -16 (b) 1/3 (c) 0.13
c
What is the closest to -2/5 in 6/25, -27, -2, -1?
-1
What is the nearest to -1 in -1/2, -2/7, -11, 1?
-1/2
What is the nearest to 0 in 3, -0.5, -0.2?
-0.2
Which is the closest to 6/29? (a) -4/9 (b) -0.3 (c) -3/7
b
Which is the nearest to 103? (a) 0.2 (b) 1 (c) -2/9
b
What is the nearest to 2 in -1, -6, -30, -4?
-1
Which is the closest to -0.1? (a) 0.5 (b) 7 (c) 2.46
a
What is the nearest to -1 in 41, 4, 0.1?
0.1
What is the closest to 0 in 3/4, 62, -1/8?
-1/8
What is the closest to -3/4 in -0.01, -7, -2/5, -0.3?
-2/5
Which is the nearest to 38? (a) 1 (b) 5 (c) -2/9
b
Which is the closest to 24/13? (a) -0.2 (b) -3 (c) 0.5
c
What is the closest to 1 in 0, -3, -0.45?
0
Which is the closest to -29/9? (a) 0.4 (b) -4 (c) -1
b
Which is the closest to 20? (a) 1 (b) -4 (c) -1/3 (d) 1/5
a
What is the nearest to 5 in 11, -0.1, -0.4, 3/4?
3/4
Which is the closest to -0.13? (a) -6 (b) -0.2 (c) 7/6
b
Which is the closest to 0.07? (a) -1 (b) 11 (c) 1
c
What is the nearest to 0 in 2, 587, 1, 0?
0
Which is the nearest to -1? (a) -1/6 (b) -2 (c) -4.6 (d) 3
a
Which is the nearest to -0.23? (a) -4 (b) 0.2 (c) -2/3
b
What is the nearest to -0.4 in 0.4, 3, -6, -1/4?
-1/4
Which is the nearest to 2/11? (a) 0.3 (b) -1/11 (c) -0.4
a
What is the nearest to -26 in 3/5, 0.1, 0.4, 13?
0.1
Which is the nearest to -2/3? (a) 3 (b) 2/9 (c) 2/57
c
What is the closest to 332 in 2, 0.6, -0.2?
2
Which is the closest to -1? (a) 0.006 (b) -5/4 (c) 1 (d) 0.1
b
Which is the nearest to -1? (a) -3 (b) -66.2 (c) 0
c
What is the closest to -2 in 1, 1/3, -2/11, 13?
-2/11
Which is the nearest to -0.24? (a) -0.3 (b) 5 (c) 3
a
Which is the nearest to -2/15? (a) 2 (b) 5/9 (c) 4 (d) 0
d
What is the nearest to 2/9 in 2/15, 0.027, -4, -2/3?
2/15
Which is the closest to 2/3? (a) -7 (b) 3 (c) -2/5
c
What is the closest to 119 in -1, 1/2, -0.1?
1/2
What is the closest to -3 in 2/3, 6/5, 0?
0
What is the closest to -83 in 30, -0.4, 1
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 3*o + 1. Give u(x).
3
Let b(h) = -5*h + 2. Let c(m) = -10*m + 5. Let v(a) = 5*b(a) - 2*c(a). Determine v(1).
-5
Let o(d) = d**2 - d + 2. Suppose -2*s + 15 = s. Suppose -p + 12 = -2*z, 0 = 5*p - z - s - 10. Calculate o(p).
4
Let p(t) = -3*t. Suppose -5*r = -0 - 10. Suppose 2*s + r = -0. Determine p(s).
3
Let y be 3 - 2/(-6 + 4). Let b(u) = -y + 3*u - u**2 - 3 + 3*u. Suppose -4*l + 25 - 5 = 0. Determine b(l).
-2
Let l(s) be the first derivative of -1/3*s**3 + 1 - 1/2*s**2 + s. Calculate l(2).
-5
Let n(b) = 2*b + b - 4*b. Let y be n(-2). Let v(o) = -3*o**3 + 3*o + 1 - y*o - o + 2*o. What is v(-1)?
2
Suppose 4*a = l + 23, -a = 3 - 8. Let q be ((-3)/l*-1)/(-1). Let b(w) = w**2 - w - 1. Determine b(q).
-1
Suppose x - 25 = 3*i, 2*x - 3*i - 75 = -x. Suppose 2*h = 4, 5*d - 5*h = -0*d - x. Let c(j) = -j**2 - 2*j + 1. What is c(d)?
-2
Let n(o) = o**2 + 7*o - 4. Suppose 2*j = j - 7. Calculate n(j).
-4
Let q(f) = 5*f + 2. Let b = -72 - -67. Give q(b).
-23
Let p = 1 - 0. Let s(l) = -5 + 4*l + 0 + l**2 + 0*l**2 - p. Suppose -46 = 5*r - 0*j - 4*j, 5*j = -r + 14. Calculate s(r).
6
Suppose 6 = -3*n, -4*g = -2*g + 5*n + 10. Let l(t) = -4 + g + 3*t**2 + 5*t - t**2. Give l(-4).
8
Let w be (3/(-2))/(51/(-34)). Let d be (2 + -3 - -1)/w. Let b(h) = h**3 - h - 10. What is b(d)?
-10
Let x(z) = -z**3 + 4*z**2 - z + 5. Suppose 4*q + 28 = -2*k, 0 = -2*q + 3*q - 5*k + 7. Let m = 4 + q. Let g = m - -7. Calculate x(g).
1
Let t(m) = 2*m**2 - 5*m - 1. Let l(s) = -4*s**2 + 11*s + 2. Let y(g) = -4*l(g) - 9*t(g). Let i be 64/(-36) + (-2)/9. Give y(i).
-9
Let n = 0 + 0. Let g(a) = a**2 + a + 5. Let y be g(0). Let j(z) = z**3 - z. Let r(i) = -4*i**3 - i**2 + 5*i + 1. Let t(m) = y*j(m) + r(m). Give t(n).
1
Let z(r) = -5*r + 6*r + 2*r. Let j(d) = -d**3 + 5*d**2 - 6*d + 6. Let a be j(4). Calculate z(a).
-6
Let g(r) = -r**3 - 5*r**2 + 2. Let a(s) = s**3 - 7*s**2 - s + 2. Let w = -8 - -15. Let u be a(w). What is g(u)?
2
Let x(p) be the second derivative of -p**5/20 + p**4/12 + p**3/2 + 2*p. Give x(3).
-9
Let c(x) = -x**2 + 3*x. Let k be 5 - (2 + -3 + 1). Suppose -k*a - 8 = -10*a - 3*m, -2*a - 3*m - 4 = 0. Give c(a).
-4
Let y(j) = 2*j**2 + 4*j. Let i(m) = 4*m. Let k be i(1). Let o(u) = u**3 - 4*u**2 + u - 2. Let l be o(k). Suppose 0 = -l*z + z - 3. Give y(z).
6
Let p(a) = -a**2 + 2*a. Let i be p(2). Suppose i = c - 4*c + 9. Let w(x) = -x + 2. Calculate w(c).
-1
Let n be (4 + -2)/((-1)/(-4)). Suppose 3*x = 2 - n. Let y(l) be the first derivative of l**3/3 + l - 3. What is y(x)?
5
Let f(o) = o - 1. Let k = -2 + 6. Calculate f(k).
3
Let y(z) = 6 - z**3 - z + 0 - 2 + 5*z**2. Let v be y(5). Let k(m) be the second derivative of -m**4/6 + m**3/3 + m**2/2 - m. Give k(v).
-3
Let s(n) = -n**3 - 3*n**2 + 2*n - 2. Let y(v) = v**2 + 2*v - 3. Let j be y(0). Calculate s(j).
-8
Let h be (4 - 5)/(2/(-4)). Let s(z) = h*z**2 - 4*z**2 + 3 + z**2 + 2*z - 4*z. Let c = 3 + -1. Calculate s(c).
-5
Let d(u) = 14*u**2 - 26*u + 6. Let m(n) = 5*n**2 - 9*n + 2. Let w(b) = -6*d(b) + 17*m(b). What is w(-2)?
-4
Let j(o) be the first derivative of -o**7/840 - o**6/72 - o**5/24 - o**4/8 + o**3/3 + 1. Let g(w) be the third derivative of j(w). Give g(-4).
1
Let g be 14 - 1*(1 - -1). Let b = 10 - g. Let r(a) = -6 + 3 + a**2 + 2. Determine r(b).
3
Let n(j) = -3*j**2 + 6 + 3*j - 4 + 4*j**2 - 3*j**2. Calculate n(-3).
-25
Let c(z) be the third derivative of 5*z**4/24 - z**3/3 + 14*z**2. Calculate c(-3).
-17
Suppose -5*s + z = 5*z + 5, 4*s + 3 = -3*z. Suppose s*p + 0*p - 9 = 0, -2*n - 3*p = -5. Let m be (-10)/4 - 1/n. Let l(v) = v**3 - v**2 - 3*v - 3. What is l(m)?
-9
Suppose 0 = 5*w + 5, 2*u + 2*w = 5*w + 11. Let v = u + -1. Let s(b) = 4 + v + 4*b + b - b**2. Give s(5).
7
Suppose h - 4*h + 2*d = -10, 0 = -5*d - 10. Let l(w) be the third derivative of -1/3*w**3 + 1/8*w**4 + 0*w - w**h + 0. Determine l(-2).
-8
Suppose 6*t + 4*n = 2*t + 4, 0 = 2*t + n
|
{
"pile_set_name": "DM Mathematics"
}
|
- 3*t + 3. Let i be m(-3). Factor 2*a + 2*a**i + 0*a**3 - 4*a**2 + w*a**2.
2*a*(a - 1)**2
Let z(a) be the second derivative of 0 - 3*a + 0*a**2 + 1/9*a**4 - 1/18*a**3. Determine d, given that z(d) = 0.
0, 1/4
Solve -1/3*b**5 - 8/3*b + 8/3*b**4 + 22/3*b**2 - 7*b**3 + 0 = 0 for b.
0, 1, 2, 4
Suppose 0 = d + 2*d - 3*j - 12, 4 = -5*d - j. Let q(i) be the third derivative of d*i - 1/180*i**5 + 0 + i**2 + 0*i**3 - 1/36*i**4. Find y, given that q(y) = 0.
-2, 0
Let a be (22/4 + -5)/1. Factor -a - 3*m - 9/2*m**2.
-(3*m + 1)**2/2
Let p(x) be the second derivative of -x**7/42 - x**6/5 - 7*x**5/10 - 4*x**4/3 - 3*x**3/2 - x**2 - 14*x. Let p(y) = 0. Calculate y.
-2, -1
Factor -5*o + 17*o**2 - 4*o + 19*o**2 + 14 - 35*o**2.
(o - 7)*(o - 2)
Let a = 445 - 442. Let r = 8/19 - 13/76. Factor -r*f**a - 1/4*f + 0 + 1/2*f**2.
-f*(f - 1)**2/4
Let d(n) be the third derivative of -n**6/360 + n**5/180 - 7*n**2. Factor d(b).
-b**2*(b - 1)/3
Let h(s) be the third derivative of s**7/35 - s**6/30 - s**5/10 + s**4/6 + 11*s**2. Determine k, given that h(k) = 0.
-1, 0, 2/3, 1
What is q in -9*q**4 - q**5 + 27*q + 66*q**3 + 4*q**5 - 15*q**4 - 72*q**2 = 0?
0, 1, 3
Let a be (0 - 2/(-6))*(29 - 23). Let f(u) be the first derivative of 3 + 1/5*u**a - 2/15*u**3 + 4/5*u. Factor f(y).
-2*(y - 2)*(y + 1)/5
Factor 4 + 4*k**3 - 4*k - k**4 - 5*k**4 + 5*k**4 - 3*k**2.
-(k - 2)**2*(k - 1)*(k + 1)
Let m = -11 - -5. Let v = m - -6. Suppose -2/3*o**3 + 2/3*o + 0 + v*o**2 = 0. What is o?
-1, 0, 1
Let m(z) = z**3 + 11*z**2 + 14*z + 22. Let a be m(-10). Let q be (2/6)/((-4)/a). Let 3/2*y - 3/2*y**3 + q*y**2 - 3/2 = 0. What is y?
-1, 1
Suppose 0*s = -s. Suppose 6 = -s*l + 2*l. Factor -1/4*i**4 - 1/4*i**2 + 1/2*i**l + 0 + 0*i.
-i**2*(i - 1)**2/4
Solve 0 - 2/3*u + 2/9*u**2 = 0 for u.
0, 3
Suppose -13*m + 31 + 8 = 0. Determine l so that 0*l**2 + 8/7*l**m + 0 + 0*l + 2/7*l**5 - 8/7*l**4 = 0.
0, 2
Let i = 4 + -13. Let l(h) = h**3 + 8*h**2 - 8*h + 11. Let w be l(i). Factor -4/7*j**2 + 2*j**3 + 4/7 - w*j.
2*(j - 1)*(j + 1)*(7*j - 2)/7
Let r(o) be the third derivative of -o**6/120 + o**5/15 - o**4/6 + o**3/3 + o**2. Let a(d) be the first derivative of r(d). Determine j so that a(j) = 0.
2/3, 2
Suppose 0 = -g + 3*v - 15, -13*g + 2*v - 10 = -11*g. Factor g - 2/13*z**3 + 0*z - 4/13*z**2 + 2/13*z**4.
2*z**2*(z - 2)*(z + 1)/13
Let n be (-19)/57 - (-110)/6. Let r = n + -16. Factor 0*f + 4/3*f**r - 2/3 + 0*f**3 - 2/3*f**4.
-2*(f - 1)**2*(f + 1)**2/3
Let k(y) = y**2 + 16*y + 60. Let d be k(-11). Determine s so that 0*s**2 + 2*s**d - 8/3*s**4 + 0 + 2/3*s**3 + 0*s = 0.
0, 1/3, 1
Let z(a) be the second derivative of 25*a**7/21 + 2*a**6 - 18*a**5/5 + 4*a**4/3 - 2*a + 10. Factor z(g).
2*g**2*(g + 2)*(5*g - 2)**2
Let n be 14/35*(15/36 - 0). Let b(c) be the second derivative of -1/6*c**4 - 3*c + 0*c**5 + 0*c**2 + 0 + 1/15*c**6 - 1/42*c**7 + n*c**3. Factor b(s).
-s*(s - 1)**3*(s + 1)
Find p such that -4*p**2 + 3*p**3 - 2*p**2 - 3*p - 7*p**2 + 10*p**2 + 3 = 0.
-1, 1
Let c(q) = -q**2 - 3*q - 1. Let i be c(-3). Let h = 7 + i. Factor 3 + h*y**2 + 3*y**3 - 3.
3*y**2*(y + 2)
What is r in 5*r - 5/3*r**2 + 0 = 0?
0, 3
Let x(z) be the third derivative of z**6/40 - 3*z**5/20 + z**4/4 - 4*z**2. Factor x(r).
3*r*(r - 2)*(r - 1)
Let h(y) be the third derivative of y**5/15 - y**4/3 + 2*y**3/3 + 3*y**2. Factor h(d).
4*(d - 1)**2
Factor 6/7*f**2 - 6/7*f**5 - 2*f**4 + 4/7*f - 6/7*f**3 + 0.
-2*f*(f + 1)**3*(3*f - 2)/7
Let w be (-10)/(-12) - (2/6 + 0). Let y(s) be the first derivative of w*s**4 + 3 - 2/3*s**3 + 0*s + 2/5*s**5 - s**2. Factor y(o).
2*o*(o - 1)*(o + 1)**2
Let k(l) be the first derivative of -2*l**5/45 - l**4/9 - 2*l**3/27 - 4. Factor k(j).
-2*j**2*(j + 1)**2/9
Let t = 3/622 - -9913/8086. Solve -68/13*k**2 - 50/13*k**5 - 98/13*k**3 + 40/13*k + t + 160/13*k**4 = 0.
-2/
|
{
"pile_set_name": "DM Mathematics"
}
|
ltiple of 14 and d(-15)?
28
Let b(r) = -r**2 + 4*r - 3. Let j be b(5). Calculate the least common multiple of 2/(((-6)/j)/3) and 5.
40
Suppose -x - 15 = -3*w, -2*w + 2 = x - 3. Suppose -2*i - 20 = -w*i. What is the smallest common multiple of i and 1?
10
Let b = -80 - -136. Let i be (-2)/3 - b/(-3). Suppose -i = -2*f - 0*f. Calculate the lowest common multiple of 5 and f.
45
Calculate the least common multiple of 10 and (2 + 1)/(4 - 3).
30
Let f = -15 + 33. Calculate the least common multiple of 10 and f.
90
Suppose 0*n - 4*n + 48 = 0. Calculate the common denominator of 59/(-3)*n/(-64) and -1*(-87)/8 + 1*-2.
16
Let y be -1 + -1 - (0 - 2). Suppose y = 4*m - m - 42. Let r(v) = 2*v + 24. What is the lowest common multiple of r(-8) and m?
56
Let k = -33066 - -4629167/140. Find the common denominator of k and 39.
140
Let f = 28535/3584 + -17/512. Calculate the common denominator of f and 11/2.
14
Suppose -s - 4*s + 4*z = 0, -4*s + 5*z = 9. Suppose 3 = s*l - l. Suppose 2*m = -3*w + 60, 2*m = -w + 19 + l. Calculate the least common multiple of w and 18.
180
Let q = 8 + -8. Let x = q - -3. Suppose 4*f + 0 + 5 = 3*z, 9 = 4*z - x*f. What is the least common multiple of z and 11?
33
Let j = 4793/5 + -962. Calculate the common denominator of 17/58 and j.
290
Let t(l) = 3*l**2 + 3. Let f(a) = 4*a**2 + 4. Let p(r) = -5*f(r) + 7*t(r). What is the least common multiple of p(3) and 16?
80
Let v(q) = 10*q**3 - 1. Suppose 3*m - 15 - 9 = 0. Let z = m + -6. What is the least common multiple of v(1) and z?
18
Let v be 1 + -1 + -5*1. Let w(m) = -m**2 - m + 4. Let z be w(v). Let f = z - -26. Calculate the smallest common multiple of 6 and f.
30
Let z = 558 + -5047/9. Calculate the common denominator of z and ((-21)/(-9))/(1 - -1).
18
Let f = 2661/14 - 190. Let h = 343315183643/1962 - 174982259. Let p = h + -78/109. Find the common denominator of f and p.
126
Suppose 14 = 2*g - 4. What is the lowest common multiple of g and 1?
9
Let z be (26 - 3)/(1/(-2)). Find the common denominator of ((-12)/(-30))/(2/z) and -31/4.
20
Let i = -525 + 2137/4. What is the common denominator of 26/7 and i?
28
Let r be (245/(-20))/((-236)/(-19)). Let b = r + -270/59. What is the common denominator of b and -59/22?
176
Let r = -35/9 + 16/99. Find the common denominator of 76/9 and r.
99
Calculate the common denominator of 11/(-19)*9/(-6) and 1/6.
114
Find the common denominator of 87/10 and ((-105)/25 + 4)/(8/10).
20
Let q(j) = j**2 - j + 1. Let y be q(1). Suppose 4*n + 2 = 2*g, 2*n - y = -2*g + 1. Calculate the smallest common multiple of 10 and g.
10
Calculate the smallest common multiple of 9 and 60/27 + 8/(-36).
18
Suppose -f - 24 = -4*a - 6*f, -10 = 2*a - 3*f. Calculate the least common multiple of a and 7.
7
Let k = 334147/43 + -7770. Let g = -4833/430 - k. Calculate the common denominator of g and 45/4.
20
Let o(d) = -7*d - 7. What is the smallest common multiple of o(-3) and 9?
126
Let s(p) = -p + 4. Let q(u) = u**2 - 5. Suppose -2*k + w + 4 = 5*w, 4*k - w - 17 = 0. What is the smallest common multiple of s(3) and q(k)?
11
Let u = 61/50070 + 1414861/141865. Let j = 257902/85 + -3034. Let y = u - j. What is the common denominator of -55/4 and y?
12
Let l = -45/22 + -95/88. Let n = 14/251 - 12439/2510. Find the common denominator of n and l.
40
Let n = 19 + 1. What is the smallest common multiple of n and 18?
180
Let w = 5 - -7. Suppose -f + 2*f + 5*a = -24, 24 = 4*f - 4*a. Let z(y) = 21*y + 1. What is the lowest common multiple of z(f) and w?
132
Let y(m) = 2 - 5*m + 2 + m**3 + 1 + 5*m**2. Let q be y(-6). What is the common denominator of -41/18 and 15/192*(3 - q)?
144
Suppose 3*d + 12 = 5*d. Calculate the lowest common multiple of 6 and d.
6
Let q(j) = -2*j + 19. What is the smallest common multiple of 8 and q(8)?
24
Find the common denominator of 14/5 and (370/(-3))/5 + 4.
15
Let i = -1631 + 26081/16. Find the common denominator of -99/98 and i.
784
Let u be (-3)/(-6)*8 + -2. Suppose -u*o + 40 = 2*o. What is the lowest common multiple of 2 and o?
10
What is the common denominator of (52/96)/((-1)/(-9)) and -23/13?
104
Let r be (4/(-8))/(1/(-6)). Suppose r*l + 6 = 5*l. What is the lowest common multiple of 1 and l?
3
Let i(b) = -6*b**2 + 5*b - 4. Let g be i(4). Let o = 5276/693 + 10/99. Calculate the common denominator of o and (-10)/25 + 478/g.
56
Let p = -446660793 - -1977813952651/4428. Let m = p + 2/1107. Find the common denominator of m and (-177)/(-60) + -1 + 2.
20
Let z(r) = 10*r. Let i be z(-6). Let m = i - -117/2. Find the common denominator of m and -57/10.
10
Let t be (-2 - 5/(-2))*8. Suppose -51 = -t*g + 29. Calculate the smallest common multiple of g and 4.
20
Let z = -8729/4220 - -25/211. Let b = 9493/12 - 792. Calculate the common denominator of z and b.
60
Let j(k) = -k**3 - 1. Let m(u) = -8*u**3 + u**2 - 5. Let g(a) = 6*j(a) - m(a). What is the smallest common multiple of g(2) and 6?
66
Let o(l) = 3*l**2 + l - 1. Calculate the smallest common multiple of 8 and o(-2).
72
Let f = -3 - -5. Suppose -3*k = -23 - 13. Suppose -2*j = 2*j + k, -2*j = 4*h - 42. What is the least common multiple of f and h?
12
Suppose 4*b = 0, 2*q + b + b = -18. Calculate the common denominator of (-3)/q + 7/(-9) and -16/11.
99
Find the common denominator of (-2)/(((-4)/43)/(-2)) and -
|
{
"pile_set_name": "DM Mathematics"
}
|
third derivative of -3*r**2*v**3 - 123*r**2*v**2 + 3*r*v**3 - r*v**2 + r*v - 49*v**3 - 65*v**2 wrt v.
-18*r**2 + 18*r - 294
What is the second derivative of -1486519*c**2 - 180895*c?
-2973038
What is the third derivative of -4481979*d**3*o + 2653*d**2 - 3*d*o + 4*o wrt d?
-26891874*o
What is the second derivative of 196428*j**4 + 2*j**3 - 3*j**2 + 9247*j - 12?
2357136*j**2 + 12*j - 6
Find the third derivative of -q**5*w**3 - 306551*q**4*w**3 + 513*q**2*w**3 + 20*q**2*w**2 + 8*q**2*w + w**3 + 2*w**2 wrt q.
-60*q**2*w**3 - 7357224*q*w**3
What is the second derivative of -72318*q**4 + q**3 + 8165*q wrt q?
-867816*q**2 + 6*q
Find the first derivative of -266212*f + 88499.
-266212
Find the third derivative of -3*a**3*u**3 + 2*a**3*u**2 + 2*a**2 + 56*a*u**3 - 73*u**3 - 3*u**2 + 300 wrt u.
-18*a**3 + 336*a - 438
Find the third derivative of 4*d**4 - 1909*d**3*n - 5*d**2*n + 3322*d*n + 2*n wrt d.
96*d - 11454*n
Find the second derivative of -l**5 - 352337*l**3 - 114051*l wrt l.
-20*l**3 - 2114022*l
Find the third derivative of -48*o*s**5 - 13*o*s**3 - 8*o*s**2 + 2*o*s - 2*o + 6*s**4 - 524*s**2 wrt s.
-2880*o*s**2 - 78*o + 144*s
What is the second derivative of -4*c**3 + 7922*c**2 - 262*c - 24 wrt c?
-24*c + 15844
What is the third derivative of 1774725*s**3 - s**2 + 694250?
10648350
What is the second derivative of -9427*d**3 + 62488*d wrt d?
-56562*d
Differentiate -157348*l**3 - 193000 wrt l.
-472044*l**2
What is the third derivative of -131117*b**3*r**3 + 2*b**3*r - b**3 - 10854*b**2*r + 3*b**2 + 4*b*r**3 wrt b?
-786702*r**3 + 12*r - 6
What is the third derivative of 88193*b**6 - 69997*b**2?
10583160*b**3
What is the third derivative of -12499*j**2*o**3*y + 2*j**2*o*y**3 + 222*j**2 + j*o**2*y**3 - 2*j*o**2 + 28*j*y**3 - 81*o**3*y**3 + 4*o**2 wrt o?
-74994*j**2*y - 486*y**3
Find the third derivative of -27934*y**5 - 20*y**2 + 332*y.
-1676040*y**2
What is the derivative of -b**3 - 686154*b**2 - 1056854 wrt b?
-3*b**2 - 1372308*b
Find the third derivative of -2318742*c**4*q + 2*c**2*q - 418120*c**2 + 2*c*q + 2*q wrt c.
-55649808*c*q
Find the third derivative of -221*g**6 - 2*g**3*j - 7*g**3*n - 181*g**2*j + g*j - 11*j - 4*n wrt g.
-26520*g**3 - 12*j - 42*n
Differentiate 15*u*x*z + 4*u*x + 57*u*z + x*z + 640*x - z - 34 wrt u.
15*x*z + 4*x + 57*z
Find the second derivative of -108316*f**3*h**5 + 278725*f**3 + 4*f*h**5 + 2*f*h wrt h.
-2166320*f**3*h**3 + 80*f*h**3
What is the second derivative of 3344*t**3 - 12207*t?
20064*t
Differentiate -85791*a**3 + 116282 wrt a.
-257373*a**2
Find the third derivative of 2*h**4 + 623681*h**3 + 1020604*h**2 wrt h.
48*h + 3742086
Find the third derivative of 626873*k**3*l + k**3 - 3*k**2*l - 52*k**2 - 300*k*l + 2*l - 2 wrt k.
3761238*l + 6
What is the first derivative of 114438*c**3 + 199446?
343314*c**2
Find the second derivative of 617*i**5 - 80*i**2*v + 75778*i*v - i - v wrt i.
12340*i**3 - 160*v
What is the third derivative of 67014*a**3*g**3 - 3*a**3*g - 2*a**2 + 4*a*g**3 + a*g**2 + a + 1417*g**3 wrt a?
402084*g**3 - 18*g
What is the third derivative of -854*j**3*k**3 + 2*j**3*k**2 - 328*j**2*k**3 + 4*j**2*k**2 - 8064*j*k**2 - 2*k**2 - k wrt k?
-5124*j**3 - 1968*j**2
Find the second derivative of -5199830*a**5 - a**2 - 294134*a + 4.
-103996600*a**3 - 2
Find the third derivative of 67979*l**5 + 166*l**2 + 2*l - 15.
4078740*l**2
Find the second derivative of -14578*j**3 + 30*j**2 + 220932*j.
-87468*j + 60
What is the second derivative of -4996*n**3 + 2*n**2 + 94413*n?
-29976*n + 4
What is the derivative of -4*d*p**2*v**2 + 4*d*p**2 + 373*d*p - 2982*d + 22*v**2 wrt p?
-8*d*p*v**2 + 8*d*p + 373*d
What is the first derivative of -1173724*i + 3212919 wrt i?
-1173724
What is the second derivative of 225*d**2*k + 155*d**2 - 58606*d*k wrt d?
450*k + 310
Find the second derivative of -442862*u**4 - 4*u**2 + 8*u - 63011.
-5314344*u**2 - 8
What is the second derivative of 1710*f**3 - 185*f**2 + 166*f - 407?
10260*f - 370
Differentiate g**2*s*t - 225*g**2 + 372*g*t**2 - 62*s*t - 58*t**2 with respect to g.
2*g*s*t - 450*g + 372*t**2
Find the second derivative of 27*m**2*w**2 + 110*m**2*w + 400*m*w**2 - 86*w**2 - 207*w - 11 wrt w.
54*m**2 + 800*m - 172
What is the third derivative of -12067*d*f**3*o**2 + 10*d*f**2*o**3 - 8*d*f
|
{
"pile_set_name": "DM Mathematics"
}
|
*n - 143 + 7 = 0. Is 12 a factor of n?
False
Let t(r) be the second derivative of r**5/30 - 11*r**4/24 + 3*r**3/2 - r**2 + r. Let v(h) be the first derivative of t(h). Is v(7) a multiple of 12?
False
Suppose 2*x + 0*x - 2 = 0. Suppose x - 13 = 3*j. Is 35 + j*2/(-4) a multiple of 11?
False
Let v(h) = 20*h. Let p be v(1). Suppose 0*a + 76 = 2*a. Let x = a - p. Is x a multiple of 17?
False
Suppose 2*i - i - 4*s - 17 = 0, -2*s - 4 = 4*i. Suppose -3*t + 5*t = p + i, -4*t + p = -7. Suppose -t = -k - 1. Is k a multiple of 2?
True
Let l = 4 - 3. Let c be 2 + 0 - (-62 - l). Let f = -38 + c. Is f a multiple of 21?
False
Does 45 divide (12/8 - -3)*20/2?
True
Let f(g) = -3*g**2 + g + 1. Let t be f(2). Let b = t + 4. Let k(j) = -j**2 - 6*j - 1. Is k(b) a multiple of 4?
True
Let g = 0 - -5. Let s(o) = -9*o**3 + 17*o**2 - 13*o + 4. Let a(k) = 5*k**3 - 9*k**2 + 7*k - 2. Let d(y) = -7*a(y) - 4*s(y). Is 11 a factor of d(g)?
False
Let d = 16 - 30. Is 2 a factor of (-21)/d*(1 + 1)?
False
Suppose y = 8 + 1. Does 4 divide y/6*2 + 9?
True
Let b(s) = -s + 4. Does 13 divide b(-9)?
True
Suppose 5*j - 3*j - 60 = 0. Let v(h) = h**3 - 4*h**2 - h - 4. Let p be v(4). Let r = p + j. Does 11 divide r?
True
Let i(g) = -2*g + g**2 + 0*g + 3 + 0*g - 5. Let f(s) = -s**3 - 4*s**2 + 3. Let v be f(-3). Is i(v) a multiple of 23?
True
Suppose 6*l - 3*l = -4*a + 24, 23 = 5*a + 2*l. Suppose a*b - 6 = -0*b. Is (24/b)/(3/2) a multiple of 3?
False
Suppose 10 = -2*d + 20. Suppose w - 40 = d*f, -2*w - 20 = -3*w - 5*f. Does 11 divide w?
False
Suppose -3*x - 3 = -4*x. Let d(u) = 2*u + 4. Is d(x) a multiple of 6?
False
Let d = -18 + 25. Suppose 0 = -2*a + 35 + d. Does 6 divide a?
False
Let q(d) = -d**3 + 12*d**2 - 10*d - 11. Let c be q(11). Suppose c = -5*w + 5*o + 180, -5*o - 111 + 9 = -3*w. Does 23 divide w?
False
Is -1 + 46 + 13 + -16 a multiple of 14?
True
Suppose -5 = -r + 55. Is 12 a factor of r?
True
Let j(k) = 2*k + 3*k + 2 - 5 + k**2 - k**3. Let s be j(-4). Suppose -5*d = -s - 128. Does 18 divide d?
False
Let i = 9 + -5. Suppose -n = -2*v - 1 + 13, -i*v + 20 = -n. Does 11 divide 9/v*(-16)/(-3)?
False
Let q be 1 + 0/(-3) - 2. Let d be ((-10)/4 - q)*-4. Suppose 3*j + 12 = d*j. Does 2 divide j?
True
Let s(t) be the third derivative of t**4/24 + t**3/6 + t**2. Does 3 divide s(5)?
True
Let q be 260/22 - 4/(-22). Suppose -2*u - 2 = -q. Is 5 a factor of u?
True
Suppose 2*z = -0*z - 4*b + 4, z - b = 2. Let y(i) = -i + 4. Let n be y(2). Suppose n*a = -s, z*a = -2*s - 0 + 4. Is 4 a factor of s?
True
Suppose 208 = 5*d - 407. Does 8 divide d?
False
Suppose 0*x = 2*x - 4. Suppose 19 - 3 = -4*v + b, b = -x*v - 8. Let i(f) = -2*f**3 - 6*f**2 - f + 5. Does 11 divide i(v)?
False
Let c(i) = i**2 - 4*i - 6. Is c(-9) a multiple of 29?
False
Let d be (-2 - -2)/1 + 39. Suppose -g = -123 + d. Is 28 a factor of g?
True
Let n(l) = -l**3 + l**2 - l - 1. Let w be n(-1). Suppose -2*a - 14 = -4*t, t - 14 = -2*t - w*a. Let s(b) = b**3 - 3*b**2 - 2*b + 3. Is 9 a factor of s(t)?
False
Suppose 0 = -l + 39 + 20. Is 4 a factor of l?
False
Let h = 12 + -7. Suppose 0 = -h*k + 3*k + 2*b + 32, -3*b = 5*k - 64. Is k a multiple of 7?
True
Suppose -5*w = -5*b - 2*w + 69, 0 = 5*b - 2*w - 71. Suppose 0 = 4*m + m + b. Does 6 divide 12/(-3)*m + -2?
False
Let y = 17 - 7. Let v = -6 + y. Suppose -16 = -v*c + 12. Does 7 divide c?
True
Let z(m) = -m**2 + 9*m - 2. Let f be z(9). Let d = f + 4. Suppose -2*c + c - 58 = -4*g, -26 = -2*g + d*c. Does 15 divide g?
True
Let t = 57 - 35. Is 11 a factor of t?
True
Suppose 2 = -2*k + 4*z + 10, k = -5*z - 24. Is 14 a factor of (k + 6)*(8 + -1)?
True
Let w(z) = z**2 - 11*z - 6. Let i be w(12). Suppose 2*g = -4*d - i, -5*g + 5*d = -2*g - 24. Does 3 divide g?
True
Suppose 3*k + k + 40 = 0. Let y = -2 - k. Does 8 divide y?
True
Let a = 5 + -5. Let s = -1 - a. Let k(f) = 13*f**2 + f + 1. Is 10 a factor of k(s)?
False
Let i = 50 - -7. Suppose p - 2*u - 48 = 0, -2*p + i = -p - 5*u. Is p a multiple of 21?
True
Let m(c) = c**3 + 5*c**2 + 3*c. Let q be m(-4). Suppose 5 = 3*l - q. Suppose l*b = -b + 64. Is b a multiple of 8?
True
Let u(a) = -a**2 + 2*a + 3. Let l be u(3). Suppose 2*x + x - 12 = l. Does 6 divide 8/6*18/x?
True
Let g(o) = -o**2 + 28*o + 56. Does 17 divide g(14)?
False
Suppose 4*k - 99 = k. Let z = k - 17. Is 8 a factor of z?
True
Suppose -63 = -4*r + r. Let m = r + -15. Suppose -d = -m*d + k + 75,
|
{
"pile_set_name": "DM Mathematics"
}
|
(u) a composite number?
True
Let n(m) = -34*m**3 + 8*m**2 + 34*m - 31. Is n(-9) prime?
True
Let s(o) = -3589*o + 113. Is s(-6) a prime number?
True
Suppose 2*h + 102 = 2*i + 3*i, 4*i + 204 = -4*h. Is (-2)/(-17) - (1240680/h)/8 composite?
False
Suppose -2*g + g = -2, 4*g = 3*v + 8. Suppose 4*h = 2*s + 3*h - 9, 2*s - 2*h - 12 = v. Suppose -s*d = d - 84. Is d a composite number?
True
Let i(h) = 39*h - 84. Let l(s) = -13*s + 28. Let r(q) = -3*i(q) - 8*l(q). Is r(-10) a composite number?
True
Let y(x) = -51*x**2 + 6*x + 9. Let m be y(4). Let d = m - -2182. Is d prime?
True
Let x(a) = -a**3 - a**2 + 2*a + 3. Let n be x(-2). Suppose n*w = -6 - 18. Let g(p) = -p**3 - 6*p**2 + 13*p + 9. Is g(w) prime?
False
Suppose 0 = 73*o - 1790833 - 176298. Is o a prime number?
True
Let k(x) = -21*x + 7. Let q(c) = -41*c + 15. Let s(m) = 5*k(m) - 2*q(m). Is s(-4) a prime number?
True
Suppose -21 + 25 = 4*n. Suppose -h = -n - 1. Suppose -3*t + h*a + 99 = 0, 3*t = -2*t + a + 158. Is t a prime number?
True
Is (-1050860)/(-52) + 6*(-2)/(-78) a composite number?
True
Suppose -5*x - 8 = -x. Let a = x - -91. Is a composite?
False
Let p = 1886 - 1299. Is p composite?
False
Suppose -6*z + 4*z = -r + 931, 0 = -2*r + 2*z + 1856. Suppose t = 2*m - r - 661, -3*t + 2397 = 3*m. Suppose -5*q + 0*q + m = 0. Is q a composite number?
True
Let x(u) = 3*u + 12. Let f be x(-4). Suppose f*d = -3*d + 2451. Is d a prime number?
False
Let y = 319 - -48. Let r = y + -20. Is r a prime number?
True
Suppose 2 - 32 = 5*f. Let m = f + 6. Suppose -t + 72 = -m*t + 2*i, -3*i + 367 = 5*t. Is t prime?
False
Suppose -6972 = -13*j + j. Is j prime?
False
Let l = -18 + 22. Suppose -h + 4*o - 8457 = -6*h, 4*h - l*o - 6780 = 0. Is h prime?
True
Let f = -5120 + 10107. Is f a prime number?
True
Is ((-20)/60)/(4/(-605508)) a prime number?
True
Suppose 2*d - 7406 = 7088. Is d composite?
False
Let r = 6 + -14. Let f be (r/20)/((-2)/20). Is (f/4 + -104)*-1 prime?
True
Let m(c) = -2*c**2 + 3*c + 29. Let a be m(24). Let d = a - -2006. Is d a composite number?
True
Let c(m) = m**2 + 6*m - 14. Let s be c(-8). Suppose -s*h + 65 = 3*z - 6*z, -5*z = -2*h + 59. Is h a composite number?
False
Let s be 18/15*(-10)/(-3). Suppose -3*o - s*t - 18680 = -7*o, t - 23356 = -5*o. Suppose o = 4*u - 5*w, 2*u - 544 = -w + 1795. Is u a composite number?
True
Let p be (4 - (4 + -2)) + 0. Suppose -4*g + 25 = g, 4*w = -p*g + 30. Let k(s) = 13*s**2 + s + 7. Is k(w) prime?
True
Let a = -1309 + 1868. Suppose -4*k - 3 = -a. Is k a composite number?
False
Let p = 43 + 124. Let x be (-4)/22 - 801/11. Let d = p + x. Is d a composite number?
True
Let c = -15445 - -25286. Is c prime?
False
Let i = -66030 - -129061. Is i composite?
False
Let r(y) be the second derivative of y**5/20 + 5*y**4/12 + y**3/6 - 7*y**2/2 - 11*y. Let k be r(-3). Suppose k*z - 1353 = 5*z. Is z prime?
False
Suppose 3*y = 4*y. Let l be 4 + (553 - y/3). Let i = l + -78. Is i composite?
False
Let p = 28 + -19. Suppose p*n - 1080 = 4*n. Suppose -2*c = -290 - n. Is c prime?
False
Let k(v) = 112*v - 116*v + 0 + 14*v**2 + 3. Is k(2) a composite number?
True
Suppose 5*i = f + 263, 3*f + 858 - 80 = 4*i. Let h(d) = 2*d**2 + d + 22. Let b be h(19). Let x = b + f. Is x a prime number?
False
Let o = -6 - -10. Suppose -368 = -2*b + q + 3*q, o*b - 2*q - 760 = 0. Let h = b - 101. Is h a prime number?
False
Suppose -5*k = -10, w - 2*w + 2904 = 3*k. Suppose 7*r + 4221 = -w. Let z = -386 - r. Is z composite?
False
Suppose 22 = -4*j + 4*l + 94, -3*l = 5*j - 66. Let t = j - 10. Suppose -38 = -t*i + 427. Is i a composite number?
True
Let d(l) = -l**3 + 7*l**2 + l - 7. Let a be d(7). Suppose 0*x - 2249 = -4*b - x, a = -5*x - 15. Is b a composite number?
False
Is (13/(-39))/(2/(-62202)) composite?
True
Let f(m) = -3*m**3 + 3*m**2 + 23*m + 122. Is f(-7) composite?
True
Let s(v) = 18*v**2 - 8*v + 5. Let m = 3 - -2. Is s(m) prime?
False
Let g(x) = 89*x**2 + 13*x - 7. Is g(-5) a composite number?
False
Suppose 3*b - 4 + 10 = 0. Suppose 4 + 8 = 2*t. Is 1162/21 + b/t a prime number?
False
Let k = 5 + -4. Let w = -2 - k. Is 7/(7/w) - -1160 a prime number?
False
Let w(a) = -1616*a - 15. Is w(-2) composite?
False
Suppose 235 = 2*l - 3*x, 0 = 2*x - 7*x + 5. Suppose 0 = -5*a + 306 + l. Is a a prime number?
False
Let a(w) = 55*w + 3. Let l be a(-4). Let h = l - -306. Is h a composite number?
False
Let l = 150 + 101. Is l a composite number?
False
Let l = -370 + 234. Let g = 27 - l. Is g composite?
False
Let y(f) = f**3 + 5*f**2 - 9*f - 1. Let a be y(10). Suppose 2*m
|
{
"pile_set_name": "DM Mathematics"
}
|
7304 = 4175*m for m.
83
Solve 681334*l = 681356*l + 902 for l.
-41
Solve 18*g - 985 = -202*g + 2129 + 4366 for g.
34
Solve -14426 + 84288 + 80780 = -1433*b + 25971 for b.
-87
Solve -9936*n + 569740 = -165524 for n.
74
Solve 43745*q = 43712*q for q.
0
Solve -9736 - 5554 = 605*d - 3083 + 6548 for d.
-31
Solve -436*i - 13536 = 33745 - 7169 for i.
-92
Solve -9282 - 2516 = -211*m - 3677 + 8548 for m.
79
Solve 3909*x + 84590 = -165586 for x.
-64
Solve 146604 - 141792 = 1203*d for d.
4
Solve 300 = -23578*g + 23518*g for g.
-5
Solve -4*r + 1956 = -15*r - 50*r - 423 for r.
-39
Solve -529*v - 572*v + 1665*v + 3060 = 528*v for v.
-85
Solve -10*h - 3*h - 36587 = 24*h - 39140 for h.
69
Solve -817*h + 64821 = 1711*h - 134891 for h.
79
Solve -11*a - 2486 = -1529 for a.
-87
Solve -8*c + 28 = 71*c - 288 for c.
4
Solve 0 = -1207617*k + 1207637*k + 893 + 67 for k.
-48
Solve -16704 = 113*r + 65*r + 54*r for r.
-72
Solve 0 = -30219*m + 30202*m + 791 - 264 for m.
31
Solve -815*l + 53400 = -2150*l for l.
-40
Solve 8785*u + 52335 = 146*u + 95716 + 241706 for u.
33
Solve 0 = 6536*v - 162436 + 5212 - 129297 + 5473 for v.
43
Solve 139*t + 6065 + 8213 = -32*t + 53*t for t.
-121
Solve -434*h = 1883*h + 50974 for h.
-22
Solve 118*z + 66*z = -113*z + 68*z - 22442 for z.
-98
Solve -1825 + 12265 = -318*o + 2198 - 10838 for o.
-60
Solve 538*j - 117*j = -1213*j - 47386 for j.
-29
Solve 1106*u - 37393 = 11010 - 7481 for u.
37
Solve 525768 = 5711*w - 19142*w + 55683 for w.
-35
Solve 920*k + 7622 + 125778 = 0 for k.
-145
Solve -85*m + 33*m + 250*m - 11716 = -4*m for m.
58
Solve 7*y = 23*y + 32*y + 294 + 90 for y.
-8
Solve 170*g + 134*g = 216*g + 3256 for g.
37
Solve -15871 = -4981*t - 201519 - 42487 - 100611 for t.
-66
Solve 526*k = 152*k + 77*k + 173*k - 15004 for k.
-121
Solve 247*i - 74*i - 3836 - 6168 = 51*i for i.
82
Solve -7290 = -364*w + 5450 for w.
35
Solve 109*d + 126*d - 311*d - 4410 = -139*d for d.
70
Solve 384*z - 212*z + 1102*z - 92006 + 32128 = 0 for z.
47
Solve 58*d - 339*d + 5022 = 277*d for d.
9
Solve 15721 = -183*s + 20113 for s.
24
Solve 1807*w = 2174*w - 9175 for w.
25
Solve -1202*i + 10617 = -2175 - 430 for i.
11
Solve 549*y = 552*y + 69 for y.
-23
Solve -13036 = -163*r - 136*r - 2571 for r.
35
Solve -136*m + m = 11*m + 1022 for m.
-7
Solve -3823867 = 151*v - 3824924 for v.
7
Solve 6028 = 99939*k - 100015*k + 24 for k.
-79
Solve 4680*p + 36345 = -2358*p - 83301 for p.
-17
Solve -2023*m + 2618*m - 7325 = 45035 for m.
88
Solve 2706*f + 5898 = -1962*f - 68790 for f.
-16
Solve 25700 = 1159*q + 5997 for q.
17
Solve 1571*q = 6813*q + 52278 + 307196 + 96580 for q.
-87
Solve 0 = 30170*i - 30120*i - 50 for i.
1
Solve -3918*d - 2722*d - 358560 = 0 for d.
-54
Solve -136*p - 28282 + 7602 = -653*p for p.
40
Solve 3543*x = 3676*x + 8778 for x.
-66
Solve -489*j - 93724 = -33577 for j.
-123
Solve -3663*t - 11802*t = -185580 for t.
12
Solve -934*u = 892*u - 1771*u - 1705 for u.
31
Solve 18*b - 50*b - 639 = 143*b + 38*b for b.
-3
Solve 882 = 45991*a - 45109*a for a.
1
Solve -121*f + 7209 = 1643 for f.
46
Solve -840 = 58*w - 16*w - 14*w for w.
-30
Solve 2611*v = 4747*v + 98256 for v.
-46
Solve 285*b + 1537868 - 1544423 = 0 for b.
23
Solve -46530 = -477*s + 289*s - 846*s for s.
45
Solve -90149*i - 41612 = -89737*i for i.
-101
Solve -656*w - 2808*w - 319*w - 56745 = 0 for w.
-15
Solve 0 = -627*i - 2656618 + 2561314 for i.
-152
Solve 61*c + 712 = 103 - 1465 for c.
-34
Solve 0 = -183*p - 6287 + 1529 for p.
-26
Solve -186*q - 73340 = -80408 for q.
38
Solve 3400*u + 12006 = 3574*u for u.
69
Solve 334277 + 111332 - 103210 = 713*f + 5294*f for f.
57
Solve 3919 = -219*x - 4622 for x.
-39
Solve -570*x - 25615 = 57035 for x.
-145
Solve 54*p - 117 = -51*p + 2088 for p.
21
Solve 33*a + 1533 = 48 for a.
-45
Solve -411*o - 5329 = 2736 + 1674 - 1519 for o.
-20
Solve -3979*d + 93917 = -204567 + 35870 for d.
66
Solve 19040 = 1639*x - 279*x for x.
14
Solve 87*s - 2328 = 134*s + 50*s for s.
-24
Solve -103449*d + 1093 = -103342*d - 298 for d.
13
Solve 98806 - 23914 = 948*y for y.
79
Solve 16293 + 13380 = -592*j - 507*j for j.
-27
Solve -1759 = -3334*u + 20685 + 50904 for u.
22
Solve 355*c - 48253 = -85528 for c.
-105
Solve -937*n = 815*n - 94608 for n.
54
Solve 125189*u = 125294*u - 5355 for u.
51
Solve -9165 + 2815 + 20738 = -1300*x - 48012 for x.
-48
Solve 24417*p + 378439
|
{
"pile_set_name": "DM Mathematics"
}
|
*4/5?
-2
(-2)/(-2*(-18)/(-30))
5/3
Calculate (-5)/((1/(-12))/(7/70)).
6
What is (8/48)/(7/(-21))?
-1/2
What is (-1)/(3/(-12)*-2)?
-2
Calculate ((-2)/(-10))/(238/140).
2/17
Evaluate (1/4)/(7/(-63)*3).
-3/4
What is the value of (-3)/6*3*(-16)/(-18)?
-4/3
Evaluate 4/((-16)/6)*4/12.
-1/2
Calculate (2/(-9)*-3)/(-5).
-2/15
(4/18)/(10/45)
1
(-4)/51*(-3)/(-6)*-3
2/17
90/75*-2*5/4
-3
What is (-12)/(-324)*1/(-2)*-3?
1/18
Evaluate 465/(-775)*5/1.
-3
What is ((-15)/10)/(2/4)?
-3
4/6*(-21)/63
-2/9
Evaluate (10/(-14))/(5*(-9)/315).
5
Evaluate -15*(-6)/72*4.
5
Calculate (2/(-6))/(1/(-18)).
6
What is the value of 3/(-3)*2*3/(-18)?
1/3
Calculate 1/4*248/217*-7.
-2
Evaluate -6*3*18/(-81).
4
(-3)/(-2)*6/3
3
Evaluate (2/3)/(((-2)/(-6))/(-1)).
-2
What is (-15)/10*14/7*3?
-9
3/(7/(-1)*2/(-2))
3/7
Evaluate (-15)/6*(-102)/(-85).
-3
What is the value of (30/45)/((-4)/(-6))?
1
What is (2*-1)/(6/6)?
-2
((-1)/(-1))/((-111)/555)
-5
4*(-7)/((-210)/10)
4/3
(24/(-660))/(2*(-2)/20)
2/11
Evaluate (6/(-6))/(-3)*3.
1
Evaluate 16/12*(-36)/24.
-2
What is 2/(4*(-1)/6)?
-3
What is the value of (6/(-4))/(11/(308/(-147)))?
2/7
Evaluate ((-6)/2)/((-90)/(-60)).
-2
Evaluate (-90)/27*(24/(-5))/(-4).
-4
What is the value of (((-1)/(-3))/(112/64))/(-2)?
-2/21
What is (1/10)/(15/30)?
1/5
What is 4*2*(-2)/24?
-2/3
What is the value of (-6)/(-12)*(-4)/(-11)*-1?
-2/11
Evaluate ((-8)/(224/(-20)))/(2/(-14)).
-5
(2/(-18))/(96/72)
-1/12
What is the value of (-5)/(-30)*-9*2/(-12)?
1/4
(-1*3)/(-3)*9/(-9)
-1
2/4*(-18)/(-15)
3/5
Evaluate 6/2*(-6)/72.
-1/4
Calculate ((-3)/(-4))/(30/(-120)).
-3
Evaluate ((-2)/(-3))/(76/(-570)).
-5
Evaluate (0/(-1))/(-4)*1/4.
0
What is the value of (102/72)/(-17)*-2?
1/6
Calculate ((-10)/6)/(915/(-244)).
4/9
What is the value of 219/73*((-10)/24)/5?
-1/4
Calculate ((-25)/10)/((-1)/(-4)*-2).
5
Evaluate (2/9)/((-46)/69)*12.
-4
Evaluate ((-4)/24)/((12/(-16))/3).
2/3
Calculate 4*(-1)/9*18/(-4).
2
0/(((-16)/8)/(-1))
0
-3*(-10)/15*(-4)/(-52)
2/13
Evaluate (6/(-5))/(16/(-20)).
3/2
Calculate 1*(-8)/5*35/14.
-4
What is 1/((1/(-2))/((-1)/(-13)))?
-2/13
What is (4/(-6))/(((-80)/25)/8)?
5/3
What is the value of -14*3/(-12)*(-24)/42?
-2
Evaluate -3*-20*14/(-105).
-8
Calculate ((-1)/(-2))/(((-66)/(-60))/(-11)).
-5
Calculate 32/6*36/(-24).
-8
(1/10)/((-192)/(-720))
3/8
What is the value of -2*20/(-72)*(-12)/(-10)?
2/3
Evaluate ((-5)/(-20)*-1)/(3/(-6)).
1/2
Calculate ((-37)/(-111))/(3/36).
4
What is the value of 7*7/49*(-3)/21?
-1/7
Evaluate ((-6)/(-6))/((-13)/((-104)/48)).
1/6
-3*8/(96/(-20))
5
Evaluate (-8*(-5)/30)/((-4)/6).
-2
What is the value of ((-210)/21)/(-12*2/2)?
5/6
What is 25/30*1/5?
1/6
What is the value of (-1)/(-1)*4/48*-4?
-1/3
Evaluate (-4)/(-6)*129/215.
2/5
What is the value of (4/((-88)/33))/(6/(-4))?
1
What is (17/(-51))/((-1)/3)?
1
What is (9/(-84))/(2/(16/(-3)))?
2/7
What is ((-119)/(-1190))/((-3)/((-30)/4))?
1/4
Calculate 3*1*(-3)/18*8.
-4
What is the value of ((-2)/(-4))/((-7)/4)?
-2/7
(1/3)/((-1)/(18/2))
-3
-4*7/56*-18
9
(16/(-4))/((-6)/((-12)/(-2)))
4
14/4*64/224
1
What is the value of (-3)/27*9*16/72?
-2/9
What is (4/(-8))/(5/(-25))?
5/2
Evaluate (-450)/(-30)*3/(-9).
-5
Calculate ((-42)/112)/((-6)/(-4)).
-1/4
Calculate (-4)/((-48)/(-18))*-2.
3
(900/(-1440))/(1*(-2)/16)
5
What is the value of 2/(-3)*51/34?
-1
Evaluate (6/6)/((-1)/(-2)).
2
Calculate 432/(-36)*(-2)/(-6).
-4
What is ((-9)/63)/((8/14)/1)?
-1/4
((-6)/(-1))/((-5)/30*-27)
4/3
Evaluate ((-10)/20)/(10/4).
-1/5
What is the value of ((-4)/(-12))/(3*(-21)/27)?
-1/7
Evaluate (7/(-98))/((-8)/(-64)).
-4/7
What is ((-25)/200)/(1/2)?
-1/4
What is (945/30)/21*6/1?
9
What is 0/(6/(-36)*-6)?
0
Evaluate ((-21)/35)/(51/(-5)).
1/17
Calculate (12/(-9))/(264/(-99)).
1/2
-3*1/6*3/(-2)
3/4
Evaluate 4/(-32)*(-4)/4.
1/8
Evaluate ((-567)/(-54))/(6/1).
7/4
Evaluate 2*1/(-4)*(-8)/(-20).
-1/5
What is ((-6)/20*2)/((-27)/135)?
3
(7*(-4)/(-28)*7)/(-4)
-7/4
What is ((-92)/1610)/((-3)/(-7))?
-2/15
Calculate 1*(-11)/374*2.
-1/17
What is 1*-5*(-10)/(-25)?
-2
What is ((4*-1)/(6/3))/(-2)?
1
What is the value of (((-28)/14)/(4/6))/1?
-3
1/(-3*28/48)
-4/7
Calculate ((-27)/198)/(1/4).
-6/11
What is the value of -3*(4/10)/((-300)/(-125))?
-1/2
What is ((-3)/(-5))/(((-56)/35)/8)?
-3
What is (-9)/(-12)*(-24)/30?
-3/5
Calculate (4/80*15)/(6/16).
2
What is (-11)/((-22)/(-8))*1/(-2)?
2
Evaluate (-6)/
|
{
"pile_set_name": "DM Mathematics"
}
|
(-4)/6*45/6?
-5
What is the value of 6/(-11)*(-429)/39?
6
Calculate (16/(-42))/(96/112).
-4/9
Evaluate ((-5)/((-20)/3))/((-189)/(-84)).
1/3
What is 4/((-24)/15)*2/(-5)?
1
1*8/(-100)*5
-2/5
What is (96/112*28/(-6))/(-4)?
1
What is the value of ((32/(-6))/8)/((-8)/(-6))?
-1/2
What is (8/12)/(42/(-27))?
-3/7
(8/(-6))/(20/(-30))
2
What is the value of (6/3)/((-6)/9)?
-3
((-2)/4)/((-189)/126)
1/3
What is the value of (39/182)/((-2)/(4/6))?
-1/14
Calculate ((-13)/(-52))/((21/(-12))/(-7)).
1
(21/(-14))/((-6)/4)
1
What is (16/14)/(4/(-2))*-7?
4
What is 2*((-2)/26)/((-44)/286)?
1
What is (2/(-8))/((-270)/(-240))?
-2/9
Evaluate 15*((-192)/60)/8.
-6
What is (0/5)/(2/(-2))?
0
Calculate ((-9)/6)/(1/2).
-3
What is the value of 4/9*(-15)/(-10)*-1?
-2/3
What is the value of (6/(-5))/(153/510)?
-4
35/(-21)*12/20*-3
3
Calculate (-4)/4*1*1/1.
-1
What is the value of (-15)/(405/(-90)*2/6)?
10
Calculate ((-2)/(-10))/(44/110).
1/2
4*(-12)/192*2
-1/2
(-12)/8*44/11
-6
What is the value of (-10)/5*5*(-1)/(-25)?
-2/5
Evaluate (70/(-8))/7*4.
-5
Evaluate (12/((-24)/2))/(2/14).
-7
Evaluate (-15)/10*(-50)/(-15).
-5
1*3/(-14)*(-112)/96
1/4
What is (-21)/14*(-2)/(-12)?
-1/4
What is (52/39)/((-28)/(-6))?
2/7
What is the value of (2/2)/((42/(-6))/(-14))?
2
What is the value of 1/(-3)*-5*-1?
-5/3
Evaluate 1/(-10*(-2)/20).
1
((-6)/5)/(48/(-16))
2/5
Evaluate (-1)/(-1*-33*5/(-30)).
2/11
What is the value of (-2)/(-3)*2/((-56)/(-12))?
2/7
Evaluate 92/(-23)*1/(-2).
2
Calculate (-72)/(-6)*(-5)/15.
-4
Calculate 1*(-16)/((-24)/6).
4
(10/3)/(2/3)
5
Calculate 4*6/(-216)*1.
-1/9
4*5/(-40)*1
-1/2
((-7)/(210/(-24)))/((-4)/(-10))
2
What is the value of 4/14*91/(-117)?
-2/9
What is the value of 2/(-2)*1*0/185?
0
Evaluate (1/(-27))/(9/(-216)*4).
2/9
What is the value of -5*-1*(-96)/(-60)?
8
What is (-1)/(-1)*81/135?
3/5
Calculate 3/(12/(-64)*-4).
4
Evaluate (-2)/3*(84/64)/(-7).
1/8
Evaluate (528/198)/((-1)/3).
-8
What is ((-2)/(-12))/(34/(-102))?
-1/2
Evaluate -4*(-3)/10*5.
6
((-120)/105)/((-2)/((-1)/(-1)))
4/7
-5*(-16)/(-1200)*(-10)/(-3)
-2/9
(((-30)/28)/(-5))/((-3)/(-6))
3/7
Evaluate (6/12)/((-6)/12).
-1
2/(-3)*(-3)/(-5)
-2/5
What is the value of ((-5)/(-6))/(25/(55/(-11)))?
-1/6
What is the value of ((-78)/(-26))/(-1*(-3)/2)?
2
What is ((-45)/(-36))/(-1)*2/(-15)?
1/6
Evaluate (-5)/(((-210)/112)/((-3)/(-4))).
2
Calculate 12/16*(32/(-4))/1.
-6
Evaluate (4/50*5)/((-33)/15).
-2/11
What is the value of (8/42)/(-5*3/(-45))?
4/7
((-3)/(-18)*6)/((-2)/4)
-2
Calculate 6/(-63)*(-49)/21.
2/9
((-3)/12)/((-7)/28)
1
Calculate 138/23*(-1)/(-12).
1/2
Evaluate ((45/(-6))/(-5))/((-73)/(-146)).
3
What is the value of (-492)/(-2583)*6/(-4)?
-2/7
Evaluate (20/(-200))/((28/24)/(-7)).
3/5
Calculate (-13)/91*1/(-1).
1/7
Calculate 3/2*(456/(-90))/(-19).
2/5
Evaluate (-15)/8*2*(-36)/27.
5
10/25*8/(96/(-5))
-1/6
What is the value of 5/4*72/(-180)?
-1/2
What is (5*1/(-3))/((-11)/(-33))?
-5
Evaluate 4/(44/(-33)*(-21)/2).
2/7
Evaluate (-210)/15*(-2)/4.
7
What is (((-4)/(-2))/(-8))/(1508/(-928))?
2/13
(-6)/(36/(-15))*(-204)/85
-6
What is 1/2*20*(-3)/(-6)?
5
Calculate (-4)/(-6)*1*33/(-286).
-1/13
Evaluate (10*-3)/(393/(-131)).
10
Calculate (6/6)/((-162)/36).
-2/9
Calculate 85/170*(-8)/(-10).
2/5
What is (0/2)/((-288)/(-144))?
0
Calculate 8/4*-1*(-4)/(-10).
-4/5
What is 8*(-24)/(-128)*(-6)/9?
-1
Evaluate (10/(-36)*4)/((-10)/(-15)).
-5/3
(-40)/24*(-1)/(-5)
-1/3
Calculate ((-12)/15)/(68*4/(-40)).
2/17
What is the value of ((0/5)/(-7))/3?
0
Calculate (8/(-10))/(5/(-175)*-7).
-4
What is the value of (4*21/(-56))/((-1)/(-2))?
-3
(1/(-6))/(21/(-378))
3
Evaluate ((-4)/6*-1)/((-7)/(-21)).
2
Calculate 6*(9/21)/(24/28).
3
Calculate -7*8/28*-1.
2
What is the value of (-6)/(-3)*-1*(-1)/(-2)?
-1
What is the value of 15/(-5)*-1*(-12)/4?
-9
What is the value of 3*1*4/(24/(-2))?
-1
What is the value of (27/63)/1*1?
3/7
Calculate (6/20)/(10/((-40)/(-12))).
1/10
What is the value of (30/8)/(-15)*(-8)/(-20)?
-1/10
What is 1/(28/(-8))*(-42)/(-30)?
-2/5
15/(-10)*70/(-15)
7
What is ((-2)/6)/(2/(-30)*5)?
1
Evaluate ((-12)/(-128)*4)/(18/8).
1/6
Calculate ((-260)/390)/((-8)/(-42)).
-7/2
Calculate (-9)/(-2)*12/18.
3
What is (2*2/4)/(-1)*-2?
2
What is the value of (-30)/(-105)*1/2?
1/7
(8/(-3))/(-6*3/27)
4
Evaluate (270/(-81))/(-1*2/(-3)).
-5
What is (165/6)/(-11)*(-8)/50?
2/5
Calculate 60/6*-1*(-4)/(-8).
-5
What is the value of ((-12)/10)/(32/80)?
-3
(((-80)/35)/(-4))/(-2)*2
-4/7
0/((-81)/9)*(-1)/(-5)
0
8/(-120)*6/((-
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 21 + y + 2*f**2 wrt f.
36*f**2 + 12
Let x(p) be the second derivative of -1988*p**6/15 - 2*p**3 + 9*p**2/2 + 4*p + 193. What is the second derivative of x(i) wrt i?
-47712*i**2
Let k(x) be the first derivative of 1358*x**3/3 + 4*x**2 - 42*x - 1094. Find the second derivative of k(c) wrt c.
2716
Let w be 612/17 + (-2)/(-2). Suppose 0 = -4*b + 101 - w. What is the second derivative of 9*j - 15*j + b*j - 2*j**2 wrt j?
-4
Let u(x) be the second derivative of 227*x**4/2 + 1201*x**2 - 637*x. Differentiate u(l) with respect to l.
2724*l
Find the third derivative of 185*j**3 + 0*j + 18*j**5 - 5*j**5 + j - 234*j**3 - 99*j**2 + 56*j**2 wrt j.
780*j**2 - 294
What is the derivative of 3*j - 12 - 37*j**2 - 103 - 110*j**2 - j wrt j?
-294*j + 2
Let q(s) be the third derivative of s**2 + 0*s**3 - 53*s - 25/8*s**4 + 0 - 61/60*s**5. What is the second derivative of q(f) wrt f?
-122
Let s(c) be the third derivative of c**7/105 - c**6/20 + 38*c**5/5 - 883*c**4/6 + 97*c**2 - 2*c - 4. Find the second derivative of s(g) wrt g.
24*g**2 - 36*g + 912
Let x(c) = 946*c**2 + 136*c + 2. Let p(l) = 2*l**2 + l + 1. Let v(o) = -5*p(o) + x(o). Find the second derivative of v(n) wrt n.
1872
Let j be 374/4 + 35/14. Let t = j + -59. Find the third derivative of 148*y**2 - y**5 - 142*y**2 + t*y**5 wrt y.
2160*y**2
Let t be ((-126)/(-49))/6 + 834/14. Suppose 4*f - t = 88. Find the first derivative of 0*c + f - 3*c + 23*c - 8 wrt c.
20
Let w = -11702 - -11746. Let q(n) be the first derivative of -w - 13/2*n**4 - 17*n + 0*n**3 + 0*n**2. Find the first derivative of q(j) wrt j.
-78*j**2
Let j(g) be the third derivative of -104*g**7/35 + 1401*g**4/8 + 443*g**2 + 2. What is the second derivative of j(z) wrt z?
-7488*z**2
Let b = 125 + -121. Let a(v) be the first derivative of -7*v**4 + v - 2*v**b - 3*v**4 - 13 - 10*v. What is the derivative of a(s) wrt s?
-144*s**2
Suppose -4*x = -5 + 1. Let u = 19 - x. Find the third derivative of 2*j**4 + u*j**2 - 2*j**4 + 4*j**5 + 2*j**5 wrt j.
360*j**2
Let y = 3472 + -3467. Let n(c) be the first derivative of -19*c + 33/5*c**y + 29 + 0*c**2 + 0*c**3 + 0*c**4. What is the derivative of n(b) wrt b?
132*b**3
Let t = -75 - -84. Find the second derivative of -3 - 8*h + 2*h - 111*h**3 + t*h + 2 wrt h.
-666*h
Let h = 57755/2 - 28877. Let u(v) be the third derivative of 0*v - 12*v**2 + 43/24*v**4 + 0 + h*v**5 + 0*v**3. Find the second derivative of u(b) wrt b.
60
Let s(u) be the first derivative of 908*u**5/5 + 304*u**3 - 784. Find the third derivative of s(p) wrt p.
21792*p
Let p(q) be the second derivative of q**6/15 - 19*q**5/20 + q**4/6 + 267*q**3/2 - 469*q. What is the third derivative of p(s) wrt s?
48*s - 114
Find the third derivative of 2*q**2 + 607*q**5 - 1120*q - 499386*q**4 + 499386*q**4 wrt q.
36420*q**2
Let t(r) be the second derivative of 19*r**5/10 - 5*r**4/12 - 2423*r**3/3 - 15*r + 37. What is the second derivative of t(v) wrt v?
228*v - 10
Let p(t) be the second derivative of -269*t**3/3 - 451*t**2/2 - 1594*t. What is the derivative of p(a) wrt a?
-538
Suppose 15*j = 11*j + 3*n + 3, j - 5*n = -12. What is the first derivative of 30 - 24*k**3 + 71*k**j - 4 wrt k?
141*k**2
What is the first derivative of 297*j - 890*j + 295*j + 379*j**3 + 298*j + j**2 + 589 wrt j?
1137*j**2 + 2*j
Let s(z) = -z**3 + 6*z**2 - z - 11. Let q(n) = -n + 14. Let d be q(9). Let y be s(d). What is the derivative of -7 + 4 + 14 + y*c wrt c?
9
Let c = 3272 - 3268. Let a(d) be the first derivative of 8 + 0*d + 0*d**c + 5*d**5 - 13/2*d**2 + 0*d**3. Find the second derivative of a(b) wrt b.
300*b**2
Let a(q) be the first derivative of -669*q**7/7 - q**6/6 - 53*q**3/3 - q**2/2 - 1630. Find the third derivative of a(y) wrt y.
-80280*y**3 - 60*y**2
Let c = 58 - 55. Suppose -10*j = -37 - c. What is the third derivative of 1193*z**j + 15*z**2 - 1178*z**4 - 3*z**2 wrt z?
360*z
Let w(j) be the second derivative of -229*j**6/6 - 13*j**4/12 - 51*j**2 - 783*j + 2. What is the third derivative of w(a) wrt a?
-27480*a
Let a(i) be the third derivative of 6319*i**4/24 - 1043*i**3 + 4*i**2 + 1205*i. What is the first derivative of a(c) wrt c?
6319
Let v(q) = -q**3 + 31*q**2 - 28*q - 30. Let y be v(30). What is the derivative of y + 42*x**3 + 0*x**3 + 70 + 12*x**3 wrt x?
162*x**2
Let b be (9/(-12))/((-9)/24). Suppose 0 = -15*d + 16*d - b. Find the third derivative of -20*f**5 + d*f**5 + 6*f**2 + 3*f**5 wrt f.
-900*f**2
Let i(q) = 157*q**4 - 4*q**2 + 201*q + 4. Let f(v) = 2*v**4 + v**2 + v + 1. Let s(y) = 4*f(y) + i(y). Find the second derivative of s(w) wrt w.
1980*w**2
Let l(b) be the second derivative of -4741*
|
{
"pile_set_name": "DM Mathematics"
}
|
- 6*a + 7 = s for a.
1
Suppose -5*b - 43 = -18. Let j = -1 - b. Let w(i) = -i**3 - 4*i**2 + 3*i - 5. Let y be w(-5). Solve -d - 3 = y*z - j*d, -d - 13 = 3*z for z.
-3
Suppose 23 = 2*h - 3*v, -v - 25 = 3*h - 8*h. Suppose -5*k = -h*c - k + 8, -16 = -3*c - 2*k. Solve -3*q + 2*n - c = 0, 3*q - 3*n = -q - 4 for q.
-4
Let r be (-24)/(-10)*(-17)/((-510)/75). Solve -t - 5*v = -5*t - 30, -r = 2*t + 2*v for t.
-5
Let i be (-4)/9 - 44/(-18). Solve -4*b - i*m = 3*m - 1, 4*m - 4 = 0 for b.
-1
Suppose 83*k + 2 - 168 = 0. Solve 28*q - 3*p - 4 = 27*q, -p = -q - k for q.
-5
Let k be ((-156)/(-8)*6/(-9))/(-1). Solve 5*d + 5*v = 0, 18*d - 2*v + 7 = k*d for d.
-1
Let t(x) = 4*x + 111. Let r be t(-27). Let a(l) = l**2 + 4*l - 5. Let v be a(-5). Let q = 2 + v. Solve q = -4*c + 2*j, c + r*c = j - 1 for c.
0
Suppose 4*a + 5 = -a. Let b = 6 - a. Solve -q - b = 4*h, 2*h + 0*q + q + 5 = 0 for h.
-1
Let s be (-1)/((45/120)/((-3)/2)). Solve -4*p - s = -5*p + d, 5 = p - 2*d for p.
3
Suppose -2*i = 2*j - 78, 5*i - 165 - 14 = 3*j. Solve -4*q - i = -4*f + 3, 0 = 3*f - 15 for q.
-5
Let l be (24/(-15))/((-12)/30). Solve -q - 8 = 5*z - 3*q, -z + l = q for z.
0
Let j be (-7)/28*42*(-8)/14. Solve -c = -5*c - f + 14, -f = -c + j for c.
4
Suppose -4*d = -6*d - 14. Let i be (2/(-4))/(d/70). Suppose -i*y = 15, -4*y = -2*a + 34 - 4. Solve -v - 28 = 2*v - 5*k, k - a = 4*v for v.
-1
Let g = -32 + 37. Suppose 2*y - g*o = -0*o, o = 4*y. Suppose -5*d - 4*v = -14, 5*d - 6 + 0 = 4*v. Solve -3*l = -7*l - d*m - 8, 5*m = y for l.
-2
Suppose -h - q + 6 = -0*h, 0 = 3*h + q - 16. Suppose h*f - 1 - 9 = 0. Suppose 4*b - 18 - f = 0. Solve 5*z + k = -4, -k - 2*k - 2 = b*z for z.
-1
Suppose 5*i + 9*i - 42 = 0. Solve 15 = i*v, 5 = -5*y - 2*v - 0*v for y.
-3
Suppose -4*z = -5*i - 89, 0 = 15*z - 10*z + 3*i - 65. Solve 3*y = -0*h - h - z, 3*y = -5*h - 20 for y.
-5
Suppose 13*k - 10 = 8*k. Solve -4*n + k*c = -24, -n - c = -2 - 1 for n.
5
Let c(g) be the second derivative of -11*g**3/6 - g**2 + 18*g. Let k be -3 - -2*2/2. Let h be c(k). Solve 0 = -2*b - 5*q + 15 + h, 2*b + 3*q = 16 for b.
2
Let w be 3/(((-42)/4)/7). Let y be 2/(-2)*16/w. Solve h = -2*z + 5, -z + y = -5*h - 11 for h.
-3
Suppose 2*y - 7*y + 5*p - 20 = 0, 3*y + 24 = -p. Let f = y - -11. Suppose -f*q = -q. Solve -4*a + d - 3 = q, 0*d = 4*d + 4 for a.
-1
Suppose 9 - 25 = -d. Let n be (-4)/16 - (-4)/d. Suppose 0*a - 3*i - 9 = -3*a, 5*a = -i + 9. Solve -v - a*u = -2*v - 6, n = 4*v + 4*u for v.
-2
Let g be ((-161)/(-14))/((-1)/(-2)). Suppose -d + g = -2*d. Let o = -14 - d. Solve 9*m + w + 18 = 4*m, 5*m - 2*w = -o for m.
-3
Let r be 2 + -1*3/(-3). Let l(v) = -r - 4*v + 0*v + 4*v - 5*v. Let h be l(-1). Solve -3*y + 4*m - 10 = 0, h*y = 5*m + 12 - 28 for y.
2
Let q(t) = 6*t + 44. Let w be q(-7). Solve 5*c + 16 = -w*m, 4*c + 6 = 3*m - 16 for c.
-4
Suppose 28*a - 11*a = 34. Solve -5*j + a*t = 4*t - 16, -14 = -3*j + t for j.
4
Let c be (1 - (-3)/6)/((-33)/(-44)). Solve 3*b + c*b + 25 = 4*p, b = p - 5 for p.
0
Let a be (-1 - -1)*(-5)/(-10). Solve 0 = -3*c + c - 3*t + 10, a = -t for c.
5
Let o be (2 - 6 - -2) + (57 - 50). Solve 4*c - c = -5*q + 17, -q = c - o for q.
1
Let c(y) = 22*y + 179. Let m be c(-8). Solve 25 = -3*t + 8*t - 2*w, 0 = -m*t - 4*w + 15 for t.
5
Let k be (0/(-1) - (-6 + 5)) + 0. Let u be ((-165)/(-10))/11 + k/2. Solve -3*a - 32 = -w + 6*w, -u*a = 8 for w.
-4
Let j = 5 - 15. Let i = j - -12. Suppose -q + 5*d - 11 - 9 = 0, -i*q + d + 5 = 0. Solve 14 = -3*r + q*t - 5, t - 11 = -3*r for r.
2
Let g(o) = -301*o. Suppose 2*b = -3*b + 5. Let v be g(b). Let y be v/(-42) - 2/12. Solve -2*l - l - y = -4*i, l + 4*i = -13 for l.
-5
Let c(s) = 3*s**2 - 6*s - 8. Let n be c(3). Solve 5*v - p = -0 + n, -v - 3 = 3*p for v.
0
Let n = -299 - -304. Solve 2*x = h + 4 - 0, -2*h + x - n = 0 for h.
-2
Let q(k) = 33*k - 624. Let i be q(19). Solve -30 = 5*g + 4*a, 2*g = -a + i*a + 6 for g.
-2
Let g = 3 + 3. Let d be g*(12/(-9
|
{
"pile_set_name": "DM Mathematics"
}
|
Let s(p) be the first derivative of 5/4*p**4 + 75*p**3 + 16875*p - l + 3375/2*p**2. Solve s(u) = 0.
-15
Let m(c) be the first derivative of -c**4 + 104 - 44*c + 2*c**2 + 44/3*c**3. Let m(n) = 0. Calculate n.
-1, 1, 11
Suppose -16*n - 548 = -1092. Let z(p) be the second derivative of -2*p**3 + 0*p**2 + 23/6*p**4 - n*p + 0 + 2/5*p**5. Let z(l) = 0. What is l?
-6, 0, 1/4
Let b(h) be the first derivative of -h**5/5 - 431*h**4/4 + 433*h**3 - 1301*h**2/2 + 434*h + 4352. Factor b(k).
-(k - 1)**3*(k + 434)
What is h in -32/3*h + 65/6*h**2 + 2/3*h**5 + 2 + 0*h**3 - 17/6*h**4 = 0?
-2, 1/4, 1, 2, 3
Let y = -47111 + 470711/10. Let i = y - -1671/40. Factor -9/4*n**3 - 3/8*n**5 + 0 - i*n**4 + 3/2*n**2 + 3*n.
-3*n*(n - 1)*(n + 2)**3/8
Let s(v) = -4*v**3 + v**2 + 2*v - 1. Let x(f) = 26*f**3 + 85*f**2 - 864*f - 4993. Let q(d) = -7*s(d) - x(d). What is r in q(r) = 0?
-4, 25
Let l(d) be the second derivative of 0*d**3 + 0*d**2 + 2/45*d**6 + 5 - 2/9*d**4 - 2*d - 1/15*d**5. Determine g so that l(g) = 0.
-1, 0, 2
Suppose 3*m - 5*b + 1 - 26 = 0, 3*m + 3*b = 57. Suppose -132 = m*n - 17*n. Factor -60*d**2 + 131*d**2 - n*d**2.
5*d**2
Let c(m) be the third derivative of m**5/160 - 457*m**4/64 - 229*m**3/8 - 1379*m**2. Factor c(f).
3*(f - 458)*(f + 1)/8
Let j(h) = -h**3 - 5*h**2 - 5*h + 1. Let w be j(-4). Suppose 2*c - 4 = w*k, 0*c = 3*c - 5*k - 11. Factor -2*z**3 + z**2 - z**2 - 10 - 15*z + c*z**3.
5*(z - 2)*(z + 1)**2
Let p(z) = 2*z + 11*z + 110 + 0*z - 9*z + 5*z. Let d be p(-12). Factor 3/4*y**d + 9/4 - 3*y.
3*(y - 3)*(y - 1)/4
Let y = 38764166/47958375 - -14/125875. Let o = y + -18/127. Factor -o*z + 2/5*z**2 - 4/15.
2*(z - 2)*(3*z + 1)/15
Let d(r) be the third derivative of -799/30*r**5 + 230*r**2 - 3*r**4 + 0 + 76/3*r**3 + 0*r - 7/20*r**6. Find g, given that d(g) = 0.
-38, -1/3, 2/7
Let s be (30/24 - 1)*2*4. Suppose -2*u = -s*u + u. What is i in 30*i**2 + 5*i - 40*i**3 + 10*i - 5 + u*i = 0?
-1/2, 1/4, 1
Suppose 0 = 3*k + 6, j - 2*k - 4 = -j. Factor 0*s - 154 - 2*s**2 + 156 + j*s.
-2*(s - 1)*(s + 1)
Let x(z) be the third derivative of -z**6/100 + 2361*z**5/10 - 9290535*z**4/4 + 12186085075*z**3 + 11*z**2 + 2*z - 296. Factor x(d).
-6*(d - 3935)**3/5
Suppose 0 = 13*f - 15*f + 96. Suppose 2*g + 2*g = f. Find j, given that -2*j - 4*j**3 - 11 - g*j**2 + 7 - 10*j = 0.
-1
Let f(x) = -418*x**3 - 30*x**2 + 300*x - 648. Let r(z) = -35*z**3 + z**2 + z. Let s(m) = f(m) - 12*r(m). Factor s(g).
2*(g - 9)*(g - 6)**2
Let q(t) be the second derivative of 16/27*t**4 + 0 + 88*t + 0*t**2 - 1/189*t**7 - 4/15*t**5 + 8/135*t**6 - 16/27*t**3. Find s, given that q(s) = 0.
0, 2
Let l(y) be the first derivative of 2*y**3/11 - 279*y**2/11 - 640. Find b such that l(b) = 0.
0, 93
Let n(g) be the first derivative of -g**3/3 - 121*g**2 - 865. Let n(k) = 0. Calculate k.
-242, 0
Let h(j) be the second derivative of j**6/2 + 127*j**5/4 - 1765*j**4/12 + 1565*j**3/6 - 225*j**2 - 29*j - 55. Find i such that h(i) = 0.
-45, 2/3, 1
Let h(z) be the second derivative of -z**9/52920 - z**8/3920 - z**7/980 - 25*z**4/4 + 25*z. Let b(s) be the third derivative of h(s). Factor b(y).
-2*y**2*(y + 3)**2/7
Suppose 45*f + 36 = 2*h + 47*f, -4*f + 88 = 8*h. Let 3*z - 51/4*z**h + 0 - 63/4*z**3 + 9*z**2 + 9*z**5 = 0. Calculate z.
-1, -1/4, 0, 2/3, 2
Suppose 149*k + 5*y = 152*k + 6, -k + 4*y = 2. Let u be (23 - 21)/(k/(-3)). Factor 2/9*r**u + 0 + 2/9*r + 4/9*r**2.
2*r*(r + 1)**2/9
Let w(f) be the first derivative of f**5/40 - 7*f**4/32 - 9*f**3/8 - 29*f**2/16 - 5*f/4 - 1996. Factor w(a).
(a - 10)*(a + 1)**3/8
Let b = 478/13 + -1330/39. Let j(i) be the first derivative of -1/2*i**2 - 18 - 4*i**4 + 0*i + b*i**3. Solve j(m) = 0.
0, 1/4
Let f(z) be the second derivative of -z**6/10 - 813*z**5/10 - 76101*z**4/4 - 360430*z**3 - 2653350*z**2 - 5214*z. Solve f(i) = 0 for i.
-266, -5
Let i(f) be the second derivative of 47/33*f**3 + 22*f + 0 + 16/33*f**4 + 18/11*f**2 + 3/110*f**5. Factor i(g).
2*(g + 1)*(g
|
{
"pile_set_name": "DM Mathematics"
}
|
*o*t**2 + 1211*o - 6*t**4 - t wrt t?
-6*o*t + 584*o - 72*t**2
Find the second derivative of 85*l**2 - 597*l wrt l.
170
Find the first derivative of 88*r**4 + 190.
352*r**3
Differentiate -2*c**3*m*x**3 - 19*c**3*m*x**2 - 144*c**3 - x**3 wrt m.
-2*c**3*x**3 - 19*c**3*x**2
What is the third derivative of -6762*c**3 + 6949*c**2 wrt c?
-40572
Find the third derivative of 57*q**5*u + 11*q**3*u - 75*q**2 - 6*q*u + 2 wrt q.
3420*q**2*u + 66*u
Differentiate 287*p - 278.
287
What is the third derivative of 289*h**3*v**3 - 3*h**2 + 133*h*v**3 wrt h?
1734*v**3
Differentiate c*p*y**3 - 35*c*p + 6*p*y**2 + 4*y**3 + 1 with respect to c.
p*y**3 - 35*p
Find the third derivative of 14175*p**5 - 7*p**2 + 632*p wrt p.
850500*p**2
What is the first derivative of -3*h**3 - 20*h**2 + 340?
-9*h**2 - 40*h
What is the second derivative of -2*q**5 - 4400*q**4 - 3*q + 492?
-40*q**3 - 52800*q**2
Find the second derivative of 225*g**2 - 2*g - 145 wrt g.
450
What is the derivative of -s**3 + 79*s**2*y + 12*s*y + 12314*y wrt s?
-3*s**2 + 158*s*y + 12*y
Find the second derivative of 391*l**2 - 4*l - 53.
782
What is the third derivative of -6*a**3*h**4 + 10*a**3*h**3 - 3*a**3 + 259*a**2*h**2 - h**4 wrt h?
-144*a**3*h + 60*a**3 - 24*h
What is the third derivative of 20*a**2*g**3 + 110*a**2*g**2 - 3*a**2 + 30*g**3 wrt g?
120*a**2 + 180
What is the third derivative of -126*v**5 + 4*v**3*z - 2*v**2*z - 9*v*z wrt v?
-7560*v**2 + 24*z
Find the third derivative of 9*j**3*y**3 + 2*j**3*y**2 - j**3 + 28*y**3 - y**2 - 23*y wrt y.
54*j**3 + 168
Find the third derivative of 7*b*u**4 - 9*b*u**3 + 2*b*u**2 + 132 wrt u.
168*b*u - 54*b
Find the third derivative of 21*f*i**4 + 42*f*i**3 - 38*f*i**2 - f*i + 3*f wrt i.
504*f*i + 252*f
What is the third derivative of 5358*m*u**3 + 3*m*u**2 + 207*u**2 wrt u?
32148*m
Find the second derivative of -2*i**3*o**2 - 2*i**3 + 16*i**2*o**2 - 88*i*o**2 - 2*i*o - 24*o wrt o.
-4*i**3 + 32*i**2 - 176*i
What is the second derivative of 120*b**2*m**2*p**2 - 6*b**2*m**2 + 7*b*m**2*p**2 - b*m + m*p**2 - 71*p**2 wrt b?
240*m**2*p**2 - 12*m**2
Find the third derivative of -54*t**4 - 66*t**2 + 2 wrt t.
-1296*t
Find the third derivative of 208*h**5 - 90*h**2.
12480*h**2
Find the first derivative of 2*f**3 + 1357*f + 4864 wrt f.
6*f**2 + 1357
Find the third derivative of -c**4*m - 32*c**4 - c**3 + 2*c**2 + 11*m wrt c.
-24*c*m - 768*c - 6
Find the first derivative of -9*c*h**2*v - c*h**2 - 40*c - 4*h**2*v + h**2 wrt v.
-9*c*h**2 - 4*h**2
What is the second derivative of -598*j**2*s**3 - j**2*s**2 + 2367*j**2*s wrt s?
-3588*j**2*s - 2*j**2
Find the third derivative of -f*m*r**3*t**2 + 5*f*m*r**2*t - 2*f*r**3*t + 52*m*r**3*t + 2*m - 16*r**2*t**2 wrt r.
-6*f*m*t**2 - 12*f*t + 312*m*t
What is the derivative of -18*a**2*k**2 - 43*a**2*p - 4*a*k**2*p + 7*a*p - 2*k**2 wrt k?
-36*a**2*k - 8*a*k*p - 4*k
Find the second derivative of 81*d*f**2*u**2 + 7*d*f*u + 4*d*u**2 + 5*f**2*u**2 + 3*f*u**2 wrt f.
162*d*u**2 + 10*u**2
What is the derivative of 2*g**4*n**3 + 97*g*n**3 + 178*n**3 + n**2 wrt g?
8*g**3*n**3 + 97*n**3
Differentiate 318*l**3*q + 76*q wrt l.
954*l**2*q
Differentiate -1054*h*j + 4*h + 42 wrt j.
-1054*h
What is the third derivative of 2277*h**3 + 274*h**2 - 4?
13662
What is the third derivative of -2838*q*z**3 - 1795*q*z**2 + 2*z**4 + z**2 wrt z?
-17028*q + 48*z
Find the second derivative of 2420*w**2 - 889*w + 2 wrt w.
4840
What is the derivative of 341*p**2*u**2 + 92*u**2 wrt p?
682*p*u**2
What is the first derivative of 73*c*j - c - 13*j - 19 wrt c?
73*j - 1
Find the third derivative of 194*i**6 - 9*i**2 - 3 wrt i.
23280*i**3
What is the second derivative of -b**3*j - 4*b**3 + 5*b**2*j - 11*b**2 - 3*b*j + 3*b - j + 6 wrt b?
-6*b*j - 24*b + 10*j - 22
Differentiate 1251*q**3 + 65.
3753*q**2
What is the second derivative of 2550*s**3*x**2 - 4*s**3*x - 340*s*x wrt x?
5100*s**3
What is the second derivative of -12*c**3*s**2 + 2*c**2*s**3 + 4*c**2*u + 7*c*s**3*u - 15*c*u - 2*s**3*u - 2*s wrt c?
-72*c*s**2 + 4*s**3 + 8*u
Find the third derivative of -3153*k**3*q**2*s + k**2*q*s + 228*k*q**2 + 2*q**2 + q wrt k.
-18918*q**2*s
Find the third derivative of p**5
|
{
"pile_set_name": "DM Mathematics"
}
|
thousands digit of 4834?
4
What is the tens digit of 101?
0
What is the thousands digit of 8397?
8
What is the hundreds digit of 1060?
0
What is the tens digit of 8296?
9
What is the hundreds digit of 326?
3
What is the thousands digit of 1176?
1
What is the thousands digit of 5338?
5
What is the tens digit of 5334?
3
What is the ten thousands digit of 16595?
1
What is the tens digit of 10608?
0
What is the hundreds digit of 5340?
3
What is the thousands digit of 1838?
1
What is the tens digit of 13640?
4
What is the units digit of 360?
0
What is the tens digit of 13887?
8
What is the units digit of 2053?
3
What is the units digit of 119?
9
What is the tens digit of 1886?
8
What is the units digit of 31497?
7
What is the thousands digit of 17404?
7
What is the thousands digit of 1842?
1
What is the hundreds digit of 13733?
7
What is the tens digit of 1290?
9
What is the thousands digit of 1636?
1
What is the tens digit of 26851?
5
What is the hundreds digit of 8474?
4
What is the thousands digit of 28114?
8
What is the hundreds digit of 92881?
8
What is the tens digit of 10918?
1
What is the thousands digit of 23654?
3
What is the units digit of 4192?
2
What is the tens digit of 36362?
6
What is the tens digit of 240?
4
What is the hundreds digit of 46256?
2
What is the hundreds digit of 1083?
0
What is the units digit of 154780?
0
What is the units digit of 3?
3
What is the thousands digit of 7024?
7
What is the thousands digit of 72900?
2
What is the units digit of 45053?
3
What is the hundreds digit of 363?
3
What is the thousands digit of 1292?
1
What is the tens digit of 3434?
3
What is the tens digit of 5473?
7
What is the tens digit of 786?
8
What is the thousands digit of 122808?
2
What is the hundreds digit of 43106?
1
What is the tens digit of 7764?
6
What is the ten thousands digit of 46090?
4
What is the tens digit of 882?
8
What is the tens digit of 5448?
4
What is the hundreds digit of 74108?
1
What is the units digit of 73?
3
What is the tens digit of 11960?
6
What is the units digit of 39724?
4
What is the tens digit of 3204?
0
What is the thousands digit of 86513?
6
What is the hundreds digit of 1476?
4
What is the units digit of 1430?
0
What is the tens digit of 1094?
9
What is the thousands digit of 1302?
1
What is the thousands digit of 2893?
2
What is the ten thousands digit of 25792?
2
What is the hundreds digit of 2394?
3
What is the hundred thousands digit of 174962?
1
What is the hundreds digit of 684?
6
What is the tens digit of 2226?
2
What is the hundreds digit of 246?
2
What is the hundreds digit of 354?
3
What is the thousands digit of 1553?
1
What is the hundreds digit of 54737?
7
What is the units digit of 198?
8
What is the thousands digit of 2613?
2
What is the thousands digit of 1517?
1
What is the tens digit of 127358?
5
What is the tens digit of 1414?
1
What is the thousands digit of 1465?
1
What is the hundreds digit of 21150?
1
What is the tens digit of 3360?
6
What is the ten thousands digit of 26081?
2
What is the tens digit of 2358?
5
What is the ten thousands digit of 29439?
2
What is the units digit of 3742?
2
What is the tens digit of 1641?
4
What is the tens digit of 131?
3
What is the hundreds digit of 6182?
1
What is the thousands digit of 8353?
8
What is the hundreds digit of 1440?
4
What is the thousands digit of 49358?
9
What is the hundreds digit of 146688?
6
What is the units digit of 996?
6
What is the ten thousands digit of 58225?
5
What is the hundreds digit of 2602?
6
What is the units digit of 851?
1
What is the hundreds digit of 617?
6
What is the units digit of 7331?
1
What is the ten thousands digit of 135353?
3
What is the units digit of 852?
2
What is the units digit of 3176?
6
What is the units digit of 841?
1
What is the thousands digit of 5988?
5
What is the units digit of 1006?
6
What is the thousands digit of 28099?
8
What is the hundreds digit of 129955?
9
What is the ten thousands digit of 16845?
1
What is the units digit of 748?
8
What is the tens digit of 1174?
7
What is the hundreds digit of 220?
2
What is the tens digit of 4018?
1
What is the thousands digit of 3387?
3
What is the thousands digit of 2173?
2
What is the units digit of 1774?
4
What is the ten thousands digit of 14733?
1
What is the ten thousands digit of 10581?
1
What is the units digit of 8823?
3
What is the tens digit of 243?
4
What is the units digit of 4238?
8
What is the tens digit of 699?
9
What is the tens digit of 7309?
0
What is the hundreds digit of 7224?
2
What is the ten thousands digit of 19505?
1
What is the tens digit of 91048?
4
What is the thousands digit of 10390?
0
What is the units digit of 16213?
3
What is the units digit of 4?
4
What is the ten thousands digit of 77954?
7
What is the tens digit of 58236?
3
What is the tens digit of 33628?
2
What is the tens digit of 18352?
5
What is the tens digit of 2810?
1
What is the tens digit of 17322?
2
What is the tens digit of 4522?
2
What is the thousands digit of 2383?
2
What is the tens digit of 164519?
1
What is the hundreds digit of 551?
5
What is the hundreds digit of 123134?
1
What is the tens digit of 620?
2
What is the hundreds digit of 156823?
8
What is the units digit of 51?
1
What is the hundreds digit of 67849?
8
What is the tens digit of 501?
0
What is the hundreds digit of 457?
4
What is the units digit of 43264?
4
What is the tens digit of 4393?
9
What is the units digit of 25656?
6
What is the units digit of 117500?
0
What is the ten thousands digit of 10667?
1
What is the tens digit of 98269?
6
What is the tens digit of 1539?
3
What is the thousands digit of 80716?
0
What is the tens digit of 22078?
7
What is the thousands digit of 2236?
2
What is the ten thousands digit of 82222?
8
What is the tens digit of 21413?
1
What is the units digit of 9541?
1
What is the ten thousands digit of 41556?
4
What is the thousands digit of 14603?
4
What is the tens digit of 3239?
3
What is the thousands digit of 20007?
0
What is the tens digit of 48587?
8
What is the units digit of 747?
7
What is the tens digit of 40537?
3
What is the hundreds digit of 27079?
0
What is the thousands digit of 19870?
9
What is the units digit of 4200?
0
What is the hundreds digit of 16778?
7
What is the tens digit of 921?
2
What is the hundreds digit of 171478?
4
What is the units digit of 945?
5
What is the tens
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*n**2 + (0*n + 2*n - n)*(4*n - 2*n - 4*n) + 0*n**2 + 3*n**2 - 2*n**2 to a + c*n**2 + o*n and give a.
0
Express (4*z - 2*z - 3*z)*(63 - 47 - 88) in the form t*z + r and give t.
72
Express -6*q**4 - 7*q + 7*q**3 + 42*q**4 - 4*q**3 + 5*q - 2*q**4 as w*q**4 + a*q**2 + p*q + v + j*q**3 and give v.
0
Express -4*h - 4*h**2 + 0*h + 133*h**3 + 3*h**2 - 152*h**3 + 2*h**4 in the form w*h**4 + n + a*h + i*h**2 + y*h**3 and give i.
-1
Rearrange (8*y + 4*y + 0*y)*(-5*y - 1 + 5*y - y) to the form a + c*y**2 + p*y and give p.
-12
Rearrange 208*w + 20 + 5 - 23 - 48*w to the form o + u*w and give o.
2
Rearrange 11*i**2 - i - 2 - 47*i**2 - i + 2*i**3 + 33*i**2 to l*i + u + d*i**3 + c*i**2 and give c.
-3
Rearrange (-35*m + 22*m + 8*m + 2*m)*(2*m - 2 + 2) to the form j + q*m + h*m**2 and give q.
0
Rearrange -2*r**4 - 2*r**4 + r**4 + (-47*r**2 + 18*r**3 + 47*r**2)*(5*r - 3*r - r)*(5 - 2 - 5) to g + n*r**4 + k*r**3 + d*r**2 + b*r and give d.
0
Express -3*j + 178*j - 50*j + 186*j in the form h*j + c and give h.
311
Express -2 + 2*b**2 - 17 + 10 as c + l*b + m*b**2 and give c.
-9
Express z + 2*z - 5*z + 6*z - 2*z - 2*z + (2 - 1 - 4)*(z + 0*z - 8*z) + z + 3*z + 4*z in the form v*z + x and give v.
29
Rearrange -d**3 - 14 - 15 - 13 - 15*d + 2*d**2 + 43 + 3*d**4 - d**4 to s + i*d**3 + p*d**4 + r*d + g*d**2 and give p.
2
Rearrange 25*j - 59*j + 10*j - 89 + 27*j to k*j + w and give w.
-89
Express 0 + 0 + z + (0 + 0 - 2)*(-z - 2*z + 12*z) + 2*z - 2*z - 7*z + (0 + 1 + 2)*(1 - 1 - 2*z) in the form k*z + r and give k.
-30
Express 750*s - 5*s**2 - 372*s - 378*s - 8 + 21 - 6*s**3 as t*s + j*s**2 + p*s**3 + o and give p.
-6
Express -p**3 + 5*p**3 - 3*p**3 + (1 + 4 - 3)*(-3*p - 2*p**3 + 3*p) + (4*p**2 - p**2 + 0*p**2)*(-113*p + 207*p + 176*p) as a*p**3 + y*p + h + m*p**2 and give a.
807
Express (-2 - 3 + 4)*(-5*i + i + 5*i) + 4823*i + 4821*i + 322 - 9645*i as x*i + k and give k.
322
Express (3*l + 5 - 4 + 1)*(-2 - 1 - 3) + 8*l - 4*l + 3*l + 2*l - l - 2*l as b*l + g and give b.
-12
Express -22*g - 16*g + 65*g - 13*g - 18*g + g**2 + 35*g**3 in the form i*g**2 + s*g**3 + d + m*g and give i.
1
Express -307*t - 213*t - 460*t + 1283*t in the form q*t + d and give q.
303
Express 16*p + p**4 + 4*p**2 - 2*p**4 - 15*p + 2*p**3 - 3*p**4 - 2*p**4 + 3 in the form c*p**4 + k + o*p + j*p**3 + y*p**2 and give k.
3
Rearrange (17*l - 17*l - 18*l**2)*(-3 + 6 - 2)*(2 + 0 - 3) + 43 - 43 - 14*l**2 to v*l + g*l**2 + h and give g.
4
Rearrange 7*v + 2*v**2 + 3*v**4 - 12*v**3 + 8*v**3 + 1 + 28*v**3 - 10*v to the form d*v**4 + o*v**2 + x*v**3 + i + k*v and give k.
-3
Rearrange (-3*k + 3*k - 2*k + (-2 - 2 + 2)*(k - 2*k + 2*k) + 0*k + 0*k - 4*k + 8*k - 8*k + 15*k)*(k + 4*k - 2*k) to the form y*k + z + a*k**2 and give a.
21
Express -122 - 6*v**2 + 112 - 4*v + 5*v**2 - v**4 as a*v**3 + o + n*v**2 + j*v**4 + q*v and give q.
-4
Rearrange -7 - 2 + 2 - z**2 + (-2 + 0 + 3)*(5*z**2 + 0*z**2 + 7*z**2) to the form k*z + d*z**2 + m and give m.
-7
Express -156 + 156 - 145*v as a*v + p and give p.
0
Express 20*x - 54*x - 1 + 110*x in the form f*x + w and give w.
-1
Rearrange 21*c**3 - 22*c**3 - 17 - 43 to f*c + h*c**3 + z*c**2 + y and give y.
-60
Express 3 - 1894*w - 3 + 4765*w + 0 as z*w + s and give z.
2871
Express 663 + q**2 - 3*q + 2*q - 657 + 2*q**3 in the form t*q + p + m*q**3 + z*q**2 and give m.
2
Express -6 + 4 - 2 + 3 + 2 - 135*n as g + o*n and give g.
1
Rearrange (-1 - 1 + 0 + (-4 + 1 + 2)*(4 - 1 - 1) + 0 + 4 - 3 + 3 - 4 - 1)*(15*r - 70*r + 16*r)*(2 - 3 + 2) - 2*r + 4*r - 3*r to the form f + x*r and give x.
194
Rearrange -38*s - 35*s + 72*s - 96 - 32 to the form o + h*s and give h.
-1
Rearrange 3*m**2 - 7*m**2 + 2*m**2 + (-m + 0*m - 2*m)*(27*m - 18*m + 5*m) to r + d*m**2 + s*m and give s.
0
Express j**4 + 2 + 919*j**2 - j**3 - 919*j**2 - 12*j in the form t*j**2 + d + q*j**3 + f*j + i*j**4 and give d.
2
Express 23496 - 713*g**2 + 145*g**2 - 23496 as s*g**2 + h*g + k and give s.
-568
Rearrange (2*b + 0*b - b)*(3 - 3 - 1) +
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the remainder when 5246402 is divided by 674?
660
What is the remainder when 7221571 is divided by 218828?
247
What is the remainder when 2381164 is divided by 687?
22
Calculate the remainder when 12993 is divided by 933.
864
Calculate the remainder when 3862684 is divided by 321877.
160
Calculate the remainder when 315794 is divided by 63157.
9
What is the remainder when 18418657 is divided by 4604647?
69
Calculate the remainder when 224965 is divided by 219661.
5304
What is the remainder when 769595 is divided by 2637?
2228
Calculate the remainder when 1348809 is divided by 7.
0
What is the remainder when 15900215 is divided by 429735?
20
Calculate the remainder when 76799420 is divided by 312.
308
What is the remainder when 183542968 is divided by 25?
18
Calculate the remainder when 29755 is divided by 2952.
235
Calculate the remainder when 5433705 is divided by 51261.
39
Calculate the remainder when 22980 is divided by 358.
68
Calculate the remainder when 2069566 is divided by 27593.
91
Calculate the remainder when 849329 is divided by 106140.
209
Calculate the remainder when 13539164 is divided by 2707827.
29
Calculate the remainder when 129155 is divided by 25828.
15
What is the remainder when 193722 is divided by 21424?
906
Calculate the remainder when 3083291 is divided by 7557.
35
What is the remainder when 828694 is divided by 1053?
1036
What is the remainder when 32780700 is divided by 280?
260
What is the remainder when 5804696 is divided by 177?
158
What is the remainder when 21170 is divided by 576?
434
What is the remainder when 165651 is divided by 880?
211
Calculate the remainder when 1464209 is divided by 292825.
84
Calculate the remainder when 2042458 is divided by 315.
313
What is the remainder when 2325036 is divided by 91?
77
What is the remainder when 465965 is divided by 20212?
1089
What is the remainder when 269528610 is divided by 28?
22
Calculate the remainder when 121013 is divided by 3909.
3743
What is the remainder when 4154161 is divided by 630?
571
What is the remainder when 22578866 is divided by 13?
11
What is the remainder when 571503 is divided by 142640?
943
What is the remainder when 8815836 is divided by 122?
116
Calculate the remainder when 2566 is divided by 429.
421
What is the remainder when 108665 is divided by 1488?
41
What is the remainder when 82529 is divided by 1124?
477
What is the remainder when 63131343 is divided by 2205?
2193
Calculate the remainder when 92740 is divided by 92723.
17
What is the remainder when 426338 is divided by 74?
24
What is the remainder when 343677 is divided by 38166?
183
Calculate the remainder when 2905330 is divided by 484210.
70
What is the remainder when 35482834 is divided by 136999?
93
Calculate the remainder when 136912 is divided by 34206.
88
Calculate the remainder when 242884 is divided by 38796.
10108
Calculate the remainder when 60838 is divided by 25.
13
What is the remainder when 1250061 is divided by 24?
21
What is the remainder when 7566104 is divided by 2666?
2662
Calculate the remainder when 421099 is divided by 210502.
95
Calculate the remainder when 85664 is divided by 664.
8
Calculate the remainder when 13111811 is divided by 588.
587
Calculate the remainder when 1274465 is divided by 392.
73
Calculate the remainder when 41226181 is divided by 1189.
1173
What is the remainder when 1339690 is divided by 267937?
5
Calculate the remainder when 6698645 is divided by 54.
53
What is the remainder when 78040 is divided by 3115?
165
Calculate the remainder when 335528 is divided by 3055.
2533
What is the remainder when 56416316 is divided by 114?
110
Calculate the remainder when 3999220 is divided by 63.
43
What is the remainder when 110037 is divided by 12764?
7925
What is the remainder when 1165359 is divided by 485?
389
What is the remainder when 2426852 is divided by 346?
8
Calculate the remainder when 13552075 is divided by 624.
43
What is the remainder when 197198704 is divided by 21910966?
10
Calculate the remainder when 1310094 is divided by 1309004.
1090
What is the remainder when 22375 is divided by 4471?
20
What is the remainder when 73114367 is divided by 256?
255
What is the remainder when 152270 is divided by 16917?
17
Calculate the remainder when 4812578 is divided by 687505.
43
What is the remainder when 223695 is divided by 785?
755
What is the remainder when 3146281 is divided by 314627?
11
Calculate the remainder when 76868 is divided by 1003.
640
Calculate the remainder when 77202 is divided by 2766.
2520
What is the remainder when 939317 is divided by 107?
71
What is the remainder when 16618933 is divided by 522?
19
Calculate the remainder when 3721175 is divided by 195845.
120
What is the remainder when 123227 is divided by 233?
203
What is the remainder when 898542 is divided by 50?
42
What is the remainder when 12004 is divided by 1545?
1189
What is the remainder when 16808247 is divided by 49876?
35
What is the remainder when 1443147 is divided by 71?
1
Calculate the remainder when 121541 is divided by 60761.
19
Calculate the remainder when 1934934 is divided by 276418.
8
What is the remainder when 20310 is divided by 457?
202
What is the remainder when 458635776 is divided by 9?
6
What is the remainder when 781448 is divided by 70999?
459
Calculate the remainder when 177258 is divided by 5677.
1271
Calculate the remainder when 186572 is divided by 297.
56
Calculate the remainder when 15737 is divided by 1548.
257
What is the remainder when 49635059 is divided by 6004?
5995
Calculate the remainder when 32655759 is divided by 247392.
15
What is the remainder when 5204527 is divided by 20094?
181
What is the remainder when 1193236 is divided by 511?
51
What is the remainder when 25267298 is divided by 3078?
3074
Calculate the remainder when 25985 is divided by 597.
314
Calculate the remainder when 350488 is divided by 409.
384
What is the remainder when 49588422 is divided by 138515?
52
Calculate the remainder when 107350 is divided by 35517.
799
What is the remainder when 24804 is divided by 3178?
2558
What is the remainder when 5118 is divided by 3544?
1574
What is the remainder when 4324565 is divided by 864905?
40
What is the remainder when 1376811 is divided by 1079?
7
What is the remainder when 3021622 is divided by 287?
86
Calculate the remainder when 3362210 is divided by 167.
166
What is the remainder when 218240 is divided by 1108?
1072
Calculate the remainder when 24303885 is divided by 63.
60
Calculate the remainder when 2397817 is divided by 1198908.
1
Calculate the remainder when 57180381 is divided by 17125.
6
Calculate the remainder when 330055821 is divided by 203864.
5
What is the remainder when 19262078 is divided by 627?
11
What is the remainder when 47582628 is divided by 945?
933
What is the remainder when 1597986 is divided by 20753?
5
What is the remainder when 1659843 is divided by 414773?
751
Calculate the remainder when 5373573 is divided by 895590.
33
Calculate the remainder when 5264717 is divided by 605.
7
Calculate the remainder when 8892437 is divided by 6171.
26
Calculate the remainder when 8993 is divided by 73.
14
What is the remainder when 17641 is divided by 2545?
2371
What is the remainder when 9938 is divided by 9816?
122
What is the remainder when 2479672 is divided by 275502?
154
What is the remainder when 13076 is divided by 4261?
293
What is the remainder when 666110 is divided by 7
|
{
"pile_set_name": "DM Mathematics"
}
|
*(sqrt(5) + (sqrt(15)/(2*sqrt(3) - sqrt(3)) - sqrt(5))))**2.
180
Simplify 6*(sqrt(68) + -1 + sqrt(68) + sqrt(68) + 2)**2.
72*sqrt(17) + 3678
Simplify 5*(sqrt(448) + -1 + sqrt(448)).
-5 + 80*sqrt(7)
Simplify 6*(4*1*sqrt(605) - sqrt(605))**2.
32670
Simplify 2 + (sqrt(45) - (sqrt(45) - (sqrt(2880) + -1))**2) + sqrt(45).
-2204 + 48*sqrt(5)
Simplify ((sqrt(162)*2)/sqrt(6))/(sqrt(36)/((sqrt(4) - (sqrt(4) - sqrt(20)/sqrt(5))) + sqrt(4))).
4*sqrt(3)
Simplify (sqrt(162)/(sqrt(36)/sqrt(4)))/(sqrt(36)/(2*sqrt(4))).
2*sqrt(2)
Simplify sqrt(28)/((sqrt(96)/sqrt(4))/sqrt(6)).
sqrt(7)
Simplify ((0 + sqrt(1900))*-4 + (sqrt(1900) - (sqrt(1900) - (3 + 1*sqrt(1900)))) + sqrt(1900))**2.
-120*sqrt(19) + 7609
Simplify ((sqrt(42)/sqrt(175))/sqrt(2))**2.
3/25
Simplify 6*((1*sqrt(104))/sqrt(8))**2.
78
Simplify sqrt(156)/(1*sqrt(24)/sqrt(2))*-5.
-5*sqrt(13)
Simplify -5*sqrt(684) - (sqrt(2736) + (sqrt(2736)*2)**2 - sqrt(2736)).
-10944 - 30*sqrt(19)
Simplify 4 + (sqrt(20)/(sqrt(80)/sqrt(32))*5)**2.
204
Simplify (((sqrt(50) + sqrt(200)/sqrt(4))*-4)/(sqrt(40)/(sqrt(16)/sqrt(4) + sqrt(4)) + sqrt(10)))**2.
1280/9
Simplify (4 + sqrt(1584))**2 + (-1 + sqrt(1100) - sqrt(1100))**2.
96*sqrt(11) + 1601
Simplify (sqrt(5) + sqrt(5)*1 + -1)*3 + -1.
-4 + 6*sqrt(5)
Simplify (sqrt(51)/(1*sqrt(3)) + 5 - (1 + sqrt(425) + sqrt(425) + 3))**2.
-18*sqrt(17) + 1378
Simplify (sqrt(30) - 6*sqrt(60)/sqrt(2))/(sqrt(18)/(sqrt(9)/sqrt(3))).
-5*sqrt(5)
Simplify (sqrt(1573) + 1)**2 + 0 + sqrt(1872).
34*sqrt(13) + 1574
Simplify sqrt(57)/(sqrt(21)/(sqrt(21)/sqrt(3))).
sqrt(19)
Simplify (sqrt(176) + sqrt(11))**2 + 4 + 4.
283
Simplify ((sqrt(121) - 2*sqrt(121))*-1)/(sqrt(55)/sqrt(20)).
2*sqrt(11)
Simplify (1 + sqrt(320) + sqrt(320) + sqrt(320) + 0 + sqrt(320))**2.
64*sqrt(5) + 5121
Simplify (sqrt(24) + sqrt(24) + 6*-1*sqrt(24) + sqrt(24))/(sqrt(588)*-3 - sqrt(588)).
3*sqrt(2)/28
Simplify -3*(sqrt(153)*1)**2.
-459
Simplify (sqrt(297)/sqrt(9))/sqrt(3) + -5.
-5 + sqrt(11)
Simplify (-1 + (sqrt(19) - sqrt(475)) + -4)**2*3.
120*sqrt(19) + 987
Simplify 1 + sqrt(88)/sqrt(8) + -2.
-1 + sqrt(11)
Simplify (sqrt(36)/(sqrt(36)/(-1*sqrt(3))))**2.
3
Simplify (2*sqrt(170)*-4)/(sqrt(30)/sqrt(3)*4).
-2*sqrt(17)
Simplify -6*sqrt(3)*2 - (-1 + sqrt(3)*-1).
-11*sqrt(3) + 1
Simplify sqrt(156)/(-1*sqrt(768))*1.
-sqrt(13)/8
Simplify -4 + (sqrt(891) - (2 + sqrt(891) + -1*sqrt(891)))**2*-4.
-3584 + 144*sqrt(11)
Simplify (sqrt(5) - -1*sqrt(20)) + sqrt(25)/sqrt(5)*1.
4*sqrt(5)
Simplify ((2*sqrt(2) + -1 - ((sqrt(2) - (sqrt(60)/sqrt(5))/sqrt(6)) + sqrt(2))) + -4)**2.
-10*sqrt(2) + 27
Simplify ((-2*2*sqrt(252))**2 - (1 + (0 + sqrt(252))**2))*-2.
-7558
Simplify (sqrt(6)/sqrt(2))**2*5 + (sqrt(33)/(sqrt(11) + sqrt(99)) - sqrt(3)).
-3*sqrt(3)/4 + 15
Simplify ((sqrt(165)/sqrt(5) - sqrt(33))*-2)/((sqrt(11) + sqrt(11) + sqrt(44)/sqrt(4) - sqrt(11))*6).
0
Simplify (-1*sqrt(99))/sqrt(9) + sqrt(33)/sqrt(3) + -4.
-4
Simplify 1*(3 + (-2*sqrt(1539) - sqrt(1539)) - sqrt(1539)).
-36*sqrt(19) + 3
Simplify ((-6*-3*sqrt(104) - sqrt(104)) + sqrt(104))/(sqrt(200)*2).
9*sqrt(13)/5
Simplify -5 + 5*sqrt(325) + 1.
-4 + 25*sqrt(13)
Simplify 5 + (2 + sqrt(396))**2.
24*sqrt(11) + 405
Simplify -3 + (-2*(sqrt(13) + sqrt(78)/sqrt(6)))**2 + sqrt(13).
sqrt(13) + 205
Simplify (sqrt(18) - (-1*1*sqrt(18) + sqrt(18)) - sqrt(18) - sqrt(18))/sqrt(6).
-sqrt(3)
Simplify sqrt(168)/sqrt(6)*1.
2*sqrt(7)
Simplify (sqrt(11) + (sqrt(88) - (sqrt(88) - sqrt(88)*-3) - sqrt(88))/sqrt(8) - sqrt(132)/(sqrt(12) + sqrt(48)/sqrt(4)))*4.
-14*sqrt(11)
Simplify sqrt(108)*2 + 3.
3 + 12*sqrt(3)
Simplify -2 + (sqrt(17) + -2 + sqrt(17))*2.
-6 + 4*sqrt(17)
Simplify -4 + 4 + sqrt(11) + (sqrt(55) + sqrt(55) + sqrt(330)/sqrt(6))/sqrt(5).
4*sqrt(11)
Simplify ((4*(sqrt(88) + (sqrt(88) - (sqrt(88) - (sqrt(88) - (sqrt(88)*-1 - sqrt(88)))))))/(sqrt(8) - -3*sqrt(648)))**2.
176/49
Simplify 4 + ((sqrt(40)*2)/sqrt(2) + sqrt(20))**2.
184
Simplify sqrt(208) + (sqrt(208) - (4 + sqrt(208)*1)).
-4 + 4*sqrt(13)
Simplify 4 + 4*(sqrt(396)*-1)**2 + -3.
1585
Simplify (2*sqrt(88)*3)/(sqrt(48)/(sqrt(36)/sqrt(6))).
6*sqrt(11)
Simplify sqrt(2)*2*-6 - (sqrt(8) + 1 + sqrt(8))**2.
-33 - 20*sqrt(2)
Simplify ((sqrt(45)*1)/sqrt(3) - sqrt(15))/sqrt(3).
0
Simplify (1 + (sqrt(1377) + 0 - sqrt(1377)))**2*-5.
-5
Simplify 6*sqrt(33)/(sqrt(132)/sqrt(108)).
18*sqrt(3)
Simplify (sqrt(27) + 2 - sqrt(336)/sqrt(7)) + 0.
-sqrt(3) + 2
Simplify (4 + -1*sqrt(1377))**2 + 2.
-72*sqrt(17) + 1395
Simplify -2 + 5*((1*sqrt(1872) - sqrt(1872))**2 + 5 - sqrt(1872)).
-60*sqrt(13) + 23
Simplify -4*(sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
o 7/10 in -1/3, -61, f, -4?
f
Let i = 21 - 15. Let j = 3.9907 + -0.9907. Which is the closest to -0.1? (a) j (b) 1 (c) i
b
Let v = 512/231 - 92/33. Which is the closest to -2? (a) v (b) 0.5 (c) -75 (d) 2
a
Let s(n) = -n + 3. Let m be s(6). Let h = 234335 + -234339. What is the closest to 2 in m, h, -1?
-1
Let m = -3.04 + 0.04. Let u(k) = k - 14. Let r be u(12). Let x be (-7)/1 + 5 + r + 2. Which is the nearest to 0? (a) m (b) -1/5 (c) x
b
Let p = 10 - 5. Let q be 11 + 0 + 2 + -1 + -1. Suppose 8*x + 12 = q*x. What is the nearest to -1 in p, -0.4, x?
-0.4
Let c = -2 + 2.2. Let v be (-4)/(-6)*(-168)/16. What is the closest to v in -0.2, 5/4, c?
-0.2
Suppose 202 - 95 = 2*u + 107. Let c = -0.8 + 0.86. What is the closest to u in 0.3, 0, c, 2/3?
0
Let o = 83.01 - 83.31. What is the nearest to o in 5, 0.1, -74/7?
0.1
Let q = -4.2 - 0.8. Let v = -1079 + 1531. Let b = 452.1 - v. What is the closest to 1/3 in q, b, -0.1?
b
Let p = 155.13 + -152.13. Let z be 2 + (-34)/2 + 1. Which is the nearest to 0.1? (a) p (b) z (c) 4
a
Let n = 20 + -13.6. Let t = -31.4 + n. Let o = 26 + t. Which is the closest to o? (a) 1 (b) -1/2 (c) -5
a
Suppose h = 5*s - 78, -2*h - 135 = -0*h - 3*s. Let p be 2 - (14/h + 447/189). Let l be (-1)/(1/3) - 2. Which is the closest to p? (a) l (b) 2/3 (c) 0.1
c
Let n = -0.013 - 0.087. Let v be 611/987 - 1/3. What is the nearest to v in 0.5, -5, n?
0.5
Let n = -6.8 - 0.2. Let p be (3/7 + (-287)/441)*6. Which is the closest to n? (a) p (b) 2 (c) 0.4 (d) 0.3
a
Let x = -92 - -91.979. Let y = 3.979 - x. Let h = -0.03 + -0.07. Which is the nearest to h? (a) y (b) 0.4 (c) 0.1
c
Let s = 13914 - 13913.8. What is the closest to s in -2/3, 0, 0.086, 1/2?
0.086
Suppose r = 4*z + 52, r - 6*z = -7*z + 47. Let w be (-32)/r*(-12)/(-8). Suppose -82 = -3*i - 25. Which is the closest to w? (a) -0.4 (b) i (c) -5
a
Let c = 11.07 + -4.61. Let t = c + -6.61. What is the nearest to t in -5, 0.4, 0, -0.2?
-0.2
Let b be (-165)/(-20) + -5*(-5)/(-100). What is the nearest to b in -2, -6, 2?
2
Let z = -10.8 + 10.7. Which is the closest to -4/7? (a) -0.4 (b) z (c) -2 (d) 5
a
Let b be 2/(24/14) + -1. Suppose -4*m + 4*n + 12 + 4 = 0, 4*m + 5*n - 52 = 0. Suppose -3*c - m = -5. What is the closest to -1 in c, b, -0.2?
c
Let w = -3.07 - -3.1. Let r = 39.97 + w. Let b = -37 + r. What is the closest to 1/4 in 1/2, 4, b?
1/2
Let d = 0.20234 - -4.79766. Suppose 2*m - 7*m = -5. Let y be (m + 26/(-30))*10. What is the nearest to 1 in 6, d, y?
y
Suppose -141 = -57*y - 198. What is the nearest to 2 in -0.02, y, -1/23?
-0.02
Let x be 1/(14 - (-57)/(-6)). Which is the closest to x? (a) 2/5 (b) 3 (c) 0 (d) 2
a
Let s = -0.2365 + 0.8365. Which is the closest to 3? (a) s (b) 3/8 (c) -0.4 (d) 0.1
a
Let a = 18.305 - 18.405. What is the closest to -3/43 in 1, a, -45?
a
Let y = -36 + 35.7. Let w = -0.5 - y. Let h = -44 - -44.6. What is the nearest to w in h, 5, 4?
h
Let d be 19/(-38) + -5 + (-79)/(-14). Let h = -5.6 - -0.6. Let o = 0.1 + -0.1. Which is the nearest to d? (a) 2/9 (b) o (c) h
a
Suppose 4*q - 10 - 9 = x, 2*q - 20 = 4*x. Let r = -144.8 - -167. Let y = r + -24.2. What is the nearest to -1/5 in y, 3, x?
y
Let k = 110 + -988/9. Let o = 0.33 + 18.67. Let f = 19.06 - o. What is the nearest to 1 in 3/2, f, k?
3/2
Let x(f) = 3*f + 12. Let s be x(-5). Let d = -4.577 - -0.577. Which is the closest to 0.1? (a) 10 (b) d (c) s
c
Let k = -85 - -83. Let n = 0.99 - 0.59. Which is the nearest to 1? (a) n (b) -1/16 (c) k (d) 3
a
Let g = -4 + 4.4. Let d = -625 - -20638/33. Let t = 19/33 - d. What is the nearest to 1 in 2, t, g?
g
Let s be 12 + (110/(-40) - 9). Which is the nearest to s? (a) -0.3 (b) 2 (c) -1/4 (d) 1
c
Let y = -0.06 - -3.06. Let x = 18 + -8. Let u = 5 - x. Which is the nearest to 1? (a) y (b) u (c) -1/2
c
Let h = 14.6 + -15.7. Let j = 5.1 + h. Which is the closest to -7/5? (a) -0.4 (b) 4/3 (c) j
a
Let r = 41 - 49. Let y = 7.8 + r. Let k = 112/915 - -2/183. What is the nearest to -1 in 5, k, y?
y
Let q = 745/7 - 107. Let b = -0.08 + -0.72. Let u = b - -1.3. What is the nearest to -2/3 in u, 6, q?
q
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
= 1 + -1. Suppose 2*a + 2*c = -20, -2*a - 29 + 2 = -5*c. Let q = o - a. Is q a multiple of 11?
True
Let a be 8/28 - (-3368)/(-28). Is (a/12)/(2/(-5)) a multiple of 12?
False
Let h be ((-1)/2)/((-3)/24). Suppose -4*m - 2*m = -528. Suppose -m = -h*p + 4*j, 4*p - 3*j = -2*j + 82. Is 10 a factor of p?
True
Let a = -17 - -42. Suppose 0 = -p + 4*p. Suppose p = j - a. Is 11 a factor of j?
False
Is 18*-1*(-3)/9 a multiple of 2?
True
Suppose 4*d - 2*s - 4 = -0, 0 = -5*d + 2*s + 7. Let t(v) = -3*v**2 + 5*v - v**3 + v**3 + v**3 - 2. Does 13 divide t(d)?
True
Let p(o) = -o**2. Let i(d) = -d + 1. Let t be i(5). Let m(q) = 9*q**3 - 2*q**2 - 1. Let c(l) = t*p(l) + m(l). Is c(1) a multiple of 5?
True
Suppose -2*l - 4*b = -4*l + 74, 0 = 3*l + 5*b - 144. Does 19 divide l?
False
Suppose 2*r + 0 - 19 = -z, 3*r + 4*z - 21 = 0. Let s = r - 8. Suppose -s = -2*a + 3. Is 2 a factor of a?
False
Let q = -11 + -14. Let w = -18 - q. Is w a multiple of 4?
False
Let h(r) = -r - 2. Let x be h(-2). Suppose x = -3*s + p + 61, 3*p = -4*s + 6*p + 83. Is 10 a factor of s?
True
Let s be (-9)/6*2 - -97. Let r = s - 66. Does 21 divide r?
False
Let q = 3 + 0. Suppose -q = -2*t + 3. Is 3 a factor of t?
True
Suppose -23*k - 644 = -30*k. Is 24 a factor of k?
False
Suppose 5*w + l - 423 = 0, 0 = -l + 3. Is w a multiple of 17?
False
Let h(w) = 7*w**2 + 25*w + 19. Let i(j) = j**2 + j + 1. Let d(l) = -h(l) + 6*i(l). Does 23 divide d(-13)?
False
Let t = -18 - -14. Does 15 divide 86 - -2*t/(-8)?
False
Suppose f - m = 105, -2*m - 2*m = -2*f + 208. Is f a multiple of 12?
False
Suppose 4*r = -30 + 110. Suppose -5*z - r = 0, -5*w - 5*z - 1 = 9. Suppose 0 = p - w*p + 10. Is p a multiple of 10?
True
Let n(m) = -4*m**2 - 3*m + 1. Let v be n(6). Is 11 a factor of (v/14)/(2/(-4))?
False
Suppose -19 = -d - 3*i, 2*i = -2*d + 3*i + 3. Suppose 3*f + 11 = d*f - 4*g, -4*f - 2*g = -26. Is f a multiple of 7?
True
Let v = 1 + 5. Suppose -12 = -v*x + 2*x. Suppose -x*q + 38 = p, 4*p - 147 = q - 21. Does 12 divide p?
False
Suppose v - 43 = 4*b, v + 0*v = 2*b + 21. Let n = b + 26. Is 15 a factor of n?
True
Let m be (90/4)/((-6)/(-8)). Suppose 3*j - m = 4*z - z, z = 3*j - 26. Is j a multiple of 4?
True
Let k(y) = 34*y - 2. Does 13 divide k(2)?
False
Let k be (-1)/((-9)/(-6) + -1). Let h be (k/5)/((-2)/(-10)). Let x = h - -10. Does 8 divide x?
True
Suppose 0 = 5*m - 7*m + 96. Does 12 divide m?
True
Let h(i) = -i**3 + 9*i**2 - 9*i + 12. Let z be h(8). Let t = -2 + z. Let o = 17 + t. Does 19 divide o?
True
Let a(m) = -m**3 - 8*m**2 - 2*m - 10. Is a(-8) a multiple of 2?
True
Let c = -23 + 65. Does 14 divide c?
True
Suppose -3*a = -53 - 25. Let q be (441/(-18))/(2/(-4)). Suppose -3*l + q = -a. Is l a multiple of 9?
False
Suppose -w = -0*w - 30. Suppose -3*d + o = -46, 2*d - 5*o + 4*o = w. Is 13 a factor of d?
False
Let j(k) = k**3 + 7*k**2 - 9*k + 12. Suppose -5*u - 34 = 3*b, b = 5*u + 1 + 1. Is j(b) a multiple of 5?
True
Let l = 15 + -9. Does 4 divide l?
False
Suppose 0 = -2*m - r + 81, -m - 54 = -2*m - 5*r. Suppose 0*i - m = -i. Suppose -3*z - 12 = -i. Is z a multiple of 7?
False
Let a be (-4 + 3)/((-1)/4). Suppose 6*n = a*n + 10. Suppose -n*q - 5*s - 5 = 0, 5*s = -3*q + 4*q - 29. Is 3 a factor of q?
False
Let z(r) = 4*r + 2. Let c(w) = w**2 + 6*w - 2. Let v be c(-7). Does 14 divide z(v)?
False
Let b(m) be the second derivative of -m**5/20 + m**4/2 - 5*m**3/6 - m. Let z be b(4). Is (z/(-10))/(6/(-195)) a multiple of 13?
True
Suppose -3*q = -5*l - 41, -3*l - 19 = -q - 0*l. Is 2 a factor of q?
False
Let m = -84 + 151. Is m a multiple of 18?
False
Suppose -5*c + 6 = -3*c + 3*m, c + 10 = 5*m. Suppose -5*w + 0*w - 2*x + 116 = c, 0 = -3*w + 4*x + 54. Does 11 divide w?
True
Suppose m = -2*q + 49, q - 45 = -q - 5*m. Let j = 23 + q. Is j a multiple of 16?
True
Suppose n - 89 = -n - 3*j, -n + 57 = -j. Does 13 divide n?
True
Suppose -15 = -2*d - 5. Let h(o) = 1 - o + 1 + 5*o + 2. Is h(d) a multiple of 14?
False
Suppose -4*p + 7*i + 30 = 2*i, -4*p = 2*i - 16. Suppose 3*k = 4*f + 61, 4*k + 2*f = p + 113. Is 9 a factor of k?
True
Suppose 1 = 2*p - 3. Suppose -p*k = -0*k - 2. Let g = 4 + k. Is 2 a factor of g?
False
Let h = 1 - -4. Suppose h*j - 4*j - 36 = 0. Let s = -16 + j. Does 10 divide s?
True
Let c(t) = 2*t**2 - 6*t - 2. Does 14 divide c(7)?
False
Suppose 0 = 3*v + s + 340, 0 = -0*v - 3*v + s - 338. Let b = 164 + v. Is b a multiple of 12?
False
Let x(k) = -7*k. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate the remainder when 989 is divided by 180.
89
What is the remainder when 107 is divided by 22?
19
Calculate the remainder when 524 is divided by 17.
14
Calculate the remainder when 39 is divided by 21.
18
Calculate the remainder when 1187 is divided by 9.
8
What is the remainder when 570 is divided by 250?
70
Calculate the remainder when 3474 is divided by 158.
156
Calculate the remainder when 717 is divided by 350.
17
Calculate the remainder when 340 is divided by 117.
106
What is the remainder when 175 is divided by 15?
10
What is the remainder when 494 is divided by 13?
0
What is the remainder when 494 is divided by 77?
32
Calculate the remainder when 345 is divided by 74.
49
What is the remainder when 26 is divided by 18?
8
Calculate the remainder when 1994 is divided by 498.
2
What is the remainder when 586 is divided by 173?
67
Calculate the remainder when 113 is divided by 16.
1
Calculate the remainder when 1137 is divided by 141.
9
Calculate the remainder when 840 is divided by 47.
41
What is the remainder when 783 is divided by 16?
15
Calculate the remainder when 11 is divided by 10.
1
What is the remainder when 1664 is divided by 111?
110
What is the remainder when 933 is divided by 311?
0
What is the remainder when 4587 is divided by 16?
11
What is the remainder when 3237 is divided by 54?
51
What is the remainder when 51 is divided by 15?
6
What is the remainder when 1117 is divided by 70?
67
Calculate the remainder when 3566 is divided by 19.
13
Calculate the remainder when 1626 is divided by 44.
42
What is the remainder when 160 is divided by 18?
16
Calculate the remainder when 388 is divided by 64.
4
What is the remainder when 79 is divided by 43?
36
What is the remainder when 364 is divided by 95?
79
What is the remainder when 39399 is divided by 9?
6
Calculate the remainder when 29635 is divided by 89.
87
Calculate the remainder when 350 is divided by 177.
173
What is the remainder when 262 is divided by 22?
20
Calculate the remainder when 124 is divided by 27.
16
Calculate the remainder when 1931 is divided by 120.
11
Calculate the remainder when 439 is divided by 35.
19
Calculate the remainder when 634 is divided by 36.
22
Calculate the remainder when 202 is divided by 20.
2
What is the remainder when 5647 is divided by 22?
15
Calculate the remainder when 13437 is divided by 48.
45
Calculate the remainder when 396 is divided by 389.
7
What is the remainder when 5936 is divided by 72?
32
What is the remainder when 937 is divided by 104?
1
What is the remainder when 597 is divided by 24?
21
What is the remainder when 675 is divided by 13?
12
What is the remainder when 960 is divided by 236?
16
Calculate the remainder when 56 is divided by 29.
27
Calculate the remainder when 585 is divided by 583.
2
What is the remainder when 1350 is divided by 11?
8
What is the remainder when 131 is divided by 20?
11
What is the remainder when 4770 is divided by 77?
73
What is the remainder when 437 is divided by 34?
29
What is the remainder when 19 is divided by 15?
4
Calculate the remainder when 534 is divided by 19.
2
Calculate the remainder when 1846 is divided by 373.
354
Calculate the remainder when 48 is divided by 11.
4
What is the remainder when 2023 is divided by 81?
79
Calculate the remainder when 39 is divided by 9.
3
What is the remainder when 202 is divided by 17?
15
Calculate the remainder when 714 is divided by 11.
10
What is the remainder when 240 is divided by 221?
19
Calculate the remainder when 65 is divided by 30.
5
What is the remainder when 996 is divided by 490?
16
Calculate the remainder when 335 is divided by 34.
29
Calculate the remainder when 750 is divided by 372.
6
What is the remainder when 1582 is divided by 72?
70
What is the remainder when 2610 is divided by 19?
7
What is the remainder when 203 is divided by 152?
51
What is the remainder when 2528 is divided by 110?
108
What is the remainder when 540 is divided by 115?
80
What is the remainder when 12873 is divided by 74?
71
Calculate the remainder when 3167 is divided by 227.
216
Calculate the remainder when 283 is divided by 17.
11
What is the remainder when 75 is divided by 56?
19
What is the remainder when 1316 is divided by 238?
126
What is the remainder when 491 is divided by 16?
11
Calculate the remainder when 1023 is divided by 21.
15
Calculate the remainder when 264 is divided by 38.
36
Calculate the remainder when 677 is divided by 56.
5
What is the remainder when 347 is divided by 35?
32
What is the remainder when 307 is divided by 31?
28
What is the remainder when 1095 is divided by 49?
17
Calculate the remainder when 128 is divided by 10.
8
Calculate the remainder when 1949 is divided by 32.
29
Calculate the remainder when 33988 is divided by 56.
52
What is the remainder when 774 is divided by 19?
14
What is the remainder when 770 is divided by 90?
50
What is the remainder when 103 is divided by 27?
22
Calculate the remainder when 102 is divided by 54.
48
What is the remainder when 237 is divided by 63?
48
What is the remainder when 59 is divided by 9?
5
What is the remainder when 1006 is divided by 64?
46
Calculate the remainder when 688 is divided by 99.
94
Calculate the remainder when 173 is divided by 7.
5
What is the remainder when 37 is divided by 12?
1
Calculate the remainder when 166 is divided by 31.
11
Calculate the remainder when 66 is divided by 32.
2
Calculate the remainder when 221 is divided by 33.
23
Calculate the remainder when 107 is divided by 33.
8
Calculate the remainder when 573 is divided by 24.
21
What is the remainder when 1416 is divided by 74?
10
Calculate the remainder when 173 is divided by 37.
25
What is the remainder when 319 is divided by 25?
19
Calculate the remainder when 6045 is divided by 85.
10
Calculate the remainder when 115 is divided by 72.
43
Calculate the remainder when 191 is divided by 81.
29
Calculate the remainder when 800 is divided by 81.
71
What is the remainder when 681 is divided by 22?
21
Calculate the remainder when 12691 is divided by 17.
9
What is the remainder when 483 is divided by 93?
18
What is the remainder when 46 is divided by 4?
2
What is the remainder when 3539 is divided by 15?
14
What is the remainder when 59 is divided by 52?
7
What is the remainder when 268 is divided by 9?
7
Calculate the remainder when 924 is divided by 437.
50
Calculate the remainder when 1646 is divided by 55.
51
Calculate the remainder when 98 is divided by 23.
6
Calculate the remainder when 454 is divided by 38.
36
What is the remainder when 2448 is divided by 70?
68
Calculate the remainder when 84 is divided by 15.
9
Calculate the remainder when 1616 is divided by 36.
32
What is the remainder when 2239 is divided by 248?
7
Calculate the remainder when 3095 is divided by 162.
17
What is the remainder when 42257 is divided by 10?
7
Calculate the remainder when 381 is divided by 181.
19
Calculate the remainder when 280 is divided by 262.
18
What is the remainder when 1120 is divided by 59?
58
What is the remainder when 119 is divided by 65?
54
What is the remainder when 5354 is divided by 26?
24
Calculate the remainder when 212 is divided by 50.
12
What is the remainder when 59 is divided by 12?
11
What is the remainder when 4614 is divided by 57?
54
Calculate the remainder when 1418 is divided by 33.
32
Calculate the remainder when 1780 is divided by 33.
31
Calculate the remainder when 3406 is divided by 44.
18
Calculate the remainder when 125 is divided by 45.
35
What is the remainder when 73 is divided by 37?
36
What is the remainder when 169 is divided by 46?
31
What is the remainder when 642 is divided by 26?
18
What is the remainder when 142 is divided by 15?
7
Calculate the remainder when 862 is divided by 208.
30
What is the remainder when 1401 is divided by 39?
36
Calculate the remainder when 590 is divided by 8.
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4*b**2 - 12*b + 26. Let j(w) = -3*m(w) + p(w). Let r be j(2). Solve -2*g - 2*t + 5 - 1 = 0, 2*g = 5*t + r for g.
3
Let l(t) = -t**3 + t**2 + 13*t + 18. Let s be (68/(-12) + 5)*3. Let k be l(s). Solve 0 = 3*d + 3*b - k + 13, -3*b - 3 = 0 for d.
-2
Suppose -78*a - 4*o - 8 = -80*a, -2 = o. Solve -x - 3*r - 8 = a, -19*x + 20*x + 5*r + 16 = 0 for x.
4
Let i(v) = 12*v**2 - 10 - 7*v**2 - 6*v**2 + 8*v + 0*v**2. Suppose -11*y + 5*y = -36. Let g be i(y). Solve g*l + 4*o = -3*l + 5, 2*l - 2 = -4*o for l.
1
Let q be 616/(-539)*35/(-4)*2. Solve -22*d = -17*d + 5*u - q, 5*d - 20 = u for d.
4
Suppose 5*i = -15, 16*i = -n + 13*i + 9. Solve -87*a + 3*f = -90*a + 18, 5*f = -a + n for a.
3
Suppose 2*u - 3*g = -3, -4*g + 17 + 4 = 3*u. Suppose -k = -q - 10 + 21, 0 = u*q - 4*k - 35. Let f be (-6)/4*(-2 - 14). Solve -h + t = 3*h + f, t = h + q for h.
-5
Let r(j) = 3*j**2 + 5*j + 9. Let d be r(-6). Let l = 91 - d. Solve 0 = -3*c + c - l*o, 7 = c - 5*o for c.
2
Let k(p) = p**3 - 2*p**2 + 3*p + 3. Let q be k(2). Let w = -17 + 21. Let o = q - w. Solve -o*b = -4*g + 3, 3*b - 2*g = -5*g + 9 for b.
1
Suppose -t = a, -3*a + 145*t = 140*t - 16. Solve -j = a*d - 5, 5*j + 6*d - 10*d = -31 for j.
-3
Suppose -b - 4*i + 20 = 16, 5*b + 3*i = 88. Solve -4*u - o + 1 = 0, -23*u = -b*u + 2*o - 2 for u.
0
Let u = -79 + 280. Suppose -26 = 35*p - u. Solve 2*s = -2*o - 12, p*o + 11 = -3*s - 15 for o.
-4
Suppose 21*h = 40*h + 2660. Suppose o + 74 = 215. Let i = o + h. Solve -4*w + 16 = 3*x, -2*x + 4*w - i = -5 for x.
4
Let y be 98/16 - (-15)/(-120). Suppose 4*w = 4*b - 16, -2*w - y = w. Solve -14 = -5*o + 2*o + b*a, -4*o - a + 4 = 0 for o.
2
Let j be 8 - -8*81/(-6). Let x = -85 - j. Solve -f + 16 = -4*q - 4*f, -x = -q + 4*f for q.
-1
Suppose -20*z + 611 = 6*z + 91. Solve k = 5*t + 29, -7*k + z = -2*k for t.
-5
Let j = 13564 - 13557. Solve j = 3*t - i - 2, 5*i = t + 11 for t.
4
Suppose -2*c + 1 = -4*r + 63, 5*c - 27 = -4*r. Suppose -4*h - r*h = 0. Solve 6 = y - 2*d, 4*d = -h*y - 2*y - 20 for y.
-2
Let y be -10 + 9 - (1 + -3). Suppose -6 = -4*f - 3*o, 3*f + 0*o + y = -5*o. Solve -12 = -4*r + 4*s, 0 = 2*r + f*r + s + 9 for r.
-1
Let a(v) = -3*v - 38. Let x(b) = 2*b + 33. Let m(l) = -3*a(l) - 4*x(l). Let u be m(22). Solve 17 = w - u*j, 2*w = 2*j - j + 13 for w.
5
Suppose 432 = -10*t + 26*t. Suppose 18*d - t - 27 = 0. Solve -7*b + d*b + 7 = -3*i, i = 3*b - 4 for i.
-1
Let r(m) = m - 34. Let p be r(34). Suppose -32 = -4*g + b, 5*b + 8 = -p*g + g. Solve -5*y = -2*n + g, 2*n - n - 4 = -y for y.
0
Let s be 3 + ((-30)/20)/((-2)/(-4)). Solve -i = -d - 1, 4*i - 2*d - 2 + s = 0 for i.
0
Suppose 1317*p = 1319*p + 12, 4*t - 82 = -5*p. Solve -3*b + 4*d = -23, 5*b - t = b + 4*d for b.
5
Let x be (10/(-8))/((-819)/156 + 5). Solve 6 = -x*j - 4*m - 11, -4 = -5*j + 3*m for j.
-1
Suppose 177 = 6*o + 15. Let l be (-1 - -4 - (-27 + o)) + 0. Solve 2*g - 5*y = -l, -5*y + 9 = 4*g - 0*g for g.
1
Let b(x) = x**3 - 4*x**2 - 4*x + 21. Let q(k) = 2*k + 52. Let h be q(-24). Let f be b(h). Solve -n - f*m + 11 = 2*n, 2*n = 4*m for n.
2
Let g = 11045 - 11039. Solve 0 = -3*j - 3*q - g, 8*j - 11*j - 5*q = 16 for j.
3
Suppose -14*q = 7072 - 7114. Solve -25*v + 5*s = -28*v - 15, 0 = 4*v + s + q for v.
0
Suppose -3*k - 3 = -84. Suppose 8*f + f = k. Solve -2*g + 7 = -4*j + 3*j, 5*j - 17 = -f*g for g.
4
Let j be (38 + -40)/(1/(-14)). Solve 4*m - 3*v = -17, -4*m + 5 = -5*v + j for m.
-2
Suppose 130*x - 136*x + 24 = 0. Suppose -21 = -x*w + n, 79*w + 3*n = 78*w - 11. Solve 3*q - 5*q = -s, -w*s - 4*q - 24 = 0 for s.
-4
Let v(a) = -307*a - 2137. Let r be v(-7). Solve -2*q + 18 = -4*q + 4*x, 0 = -2*q - 2*x + r for q.
1
Let k(p) = 384*p + 8835. Let u be k(-23). Solve -u*n + 2*m + 3 = 0, 5*m = 4*n - 0 + 10 for n.
5
Suppose -27 = -4*w + 3*d - 19, 0 = 2*w + 3*d - 22. Solve 9 = -3*f, 2*t - 4 = w*f - f for t.
-4
Suppose 2*x - 3*x = -k -
|
{
"pile_set_name": "DM Mathematics"
}
|
the closest to -1/4? (a) 0.2 (b) m (c) -2
b
Let u(m) = -m**3 + 2*m**2 + 3*m - 1. Let r be u(3). Let d = -6 - r. Let s be 4/3*(0 + -1). Which is the nearest to -0.1? (a) d (b) s (c) -1
c
Let i = -134/7 + 19. Which is the nearest to -0.1? (a) 2/7 (b) i (c) 0.1
b
Suppose 0*o + 4*b = -3*o + 2, -4*b + 50 = -5*o. What is the closest to 2 in 0.3, o, 5?
0.3
Let l = -0.59 - 3.71. Let m = -0.7 + l. Let d = -0.3 + -0.2. Which is the nearest to 1? (a) m (b) 4 (c) d
c
Let f = -5 - -7. Let u = -2.4 + f. Let n = -1.1 - -0.1. What is the nearest to 0.1 in u, n, -1/6?
-1/6
Let r be (1 + -3 + 4)*5/(-20). Let y = 0 - -0.1. Which is the nearest to y? (a) r (b) 1/3 (c) -2
b
Let v = -28 - -24. What is the nearest to 2/11 in 1/5, 4, v?
1/5
Let p = 12.8 - 13. Which is the nearest to 1? (a) 0.3 (b) p (c) 0.2
a
Let y = 0.04 + -0.14. What is the nearest to y in -1/3, -1/6, 2?
-1/6
Let o = -25 - -25.4. What is the nearest to -4 in o, 3/2, -2?
-2
Let l = -25 + 29. Let b = -2.9 - -3. What is the nearest to 0 in l, b, -1?
b
Let q = -8 + 11. Let r = 1 - q. What is the nearest to -1/2 in r, 0.2, 3/7?
0.2
Let u = 5.13 - 0.13. Let v = 0.11 - 0.23. Let f = v + 0.02. Which is the closest to f? (a) u (b) -0.4 (c) -3
b
Let u be ((-9)/33)/(6/4). Let w = 3 + -3.1. Which is the nearest to w? (a) 0.1 (b) u (c) 0.2
b
Let x = 20 - 11. Let f = -8.9 + x. What is the closest to 1 in f, 1, -2?
1
Let s be (-1 + 1/(-2))*2. Let g = 2 - s. Let d = -0.05 - -2.05. What is the closest to 1/2 in -0.2, d, g?
-0.2
Let c = 11 - 10. What is the nearest to c in 3, -3, 1/3?
1/3
Let m = 1 + -1. Let u = m - 1. Let v = u + 3. Which is the nearest to -0.1? (a) 0 (b) v (c) -1/2
a
Let v = -37 - -186/5. Let b = 0.05 + -2.05. Let t = b - -1.5. What is the closest to 1 in t, v, 3?
v
Let z = -10.3 + 8.24. Let v = z - -0.06. Let o = -5 - -4. What is the nearest to -1 in v, o, -1/2?
o
Let o = -6 - -11. Which is the nearest to o? (a) 0 (b) -1/4 (c) 3
c
Let x = -3/16 + 9/16. Suppose -3*f + 1 = 7. Which is the closest to 0? (a) f (b) -2/3 (c) x
c
Suppose 0 = -5*o + 2*x - 5*x + 22, -3*x + 17 = 4*o. Let h be (o/(5/2))/(-17). Which is the nearest to -1? (a) h (b) -1 (c) 0.2
b
Let i = -69 + 484/7. Which is the closest to i? (a) -5 (b) -3/5 (c) 3
b
Let t(l) be the second derivative of -l**4/12 + 4*l**3/3 + 2*l**2 - 2*l. Let w be t(9). Which is the closest to -0.1? (a) 0 (b) w (c) 0.2
a
Let k be 1 + 3/(42/(-10)). Let n be (5*-1)/(0 - 15/6). Let f = 0.06 - 0.56. Which is the closest to n? (a) k (b) -4 (c) f
a
Let c be 7/(-28) + ((-27)/(-12))/1. Let l = -0.7 + -0.3. What is the nearest to 2/5 in l, c, -2/3?
-2/3
Let m = -27/8 + 23/8. Let l = 0.7 + 2.3. Which is the closest to m? (a) 0.4 (b) l (c) 2
a
Let c be (-8)/(-6)*9/6. Let u = -7 + c. What is the closest to 0 in 2/3, u, -0.5?
-0.5
Let y be (-1 - (-248)/60) + -3. Which is the closest to 8? (a) -5 (b) y (c) -2
b
Let j = -0.8 - -0.6. Let g = 0.2 - j. What is the closest to -0.1 in -4, g, 2?
g
Let z = 28/25433 - 5425648/30748497. Let t = z - -2/93. Let i = 61/24 - 15/8. What is the closest to i in t, -1, -1/7?
-1/7
Suppose 5*c = -5*t, 0*t - 4*c + 16 = -4*t. Let h = -32 + 35.8. Let q = 0.2 + h. What is the closest to -2/7 in q, -0.4, t?
-0.4
Let g = -20 - -21.3. Let c = -0.3 + g. Let f = 0 + -0.1. What is the nearest to c in 0.2, -5, f?
0.2
Let k = -3.58 - 1.43. Let j = -5 - k. Let g = j - -1.99. What is the closest to -1 in 4, -3, g?
-3
Let p = 0.5 - 2.5. Let k = 88/873 - -1/97. Which is the nearest to 1? (a) -1 (b) p (c) k
c
Let k = 14 - 11. Let z = 0.07 + 0.23. What is the nearest to 0 in k, -4, z?
z
Let s be (-6)/(-27) + (-204)/(-54). Which is the closest to 1/2? (a) 5 (b) s (c) -1
c
Suppose 4*z - 22 = 2*d + 8*z, -d - 3*z = 14. What is the nearest to -3 in d, 2/7, -1/4?
d
Let k = 0.55 - 0.5. Let l = -0.29 + k. Let w = -0.04 - l. Which is the nearest to w? (a) 0.1 (b) 3/4 (c) 1
a
Let z be 8/2*(-2)/8. Let y = 12 + -6. What is the closest to y in z, 0.2, -1/3?
0.2
Let y = 3 + -2. Let r = 13/6 + -5/3. What
|
{
"pile_set_name": "DM Mathematics"
}
|
t n(a) = 6*a**2 + 240*a + 1537. Calculate n(-32).
1
Let q(w) = 82*w**2 + 1469*w - 43. Determine q(-18).
83
Let r(s) = s**3 + 11*s**2 - 128*s - 982. Give r(-6).
-34
Let q(w) = w**3 + 77*w**2 + 1765*w + 41498. What is q(-59)?
21
Let x(a) = 173*a + 58094. What is x(-336)?
-34
Let p(d) = d**2 - 27*d - 890. Determine p(-21).
118
Let x(h) = 2350*h + 949400. Give x(-404).
0
Let x(s) = -2*s**3 - 249*s**2 + 4655*s + 106. Calculate x(-141).
-176
Let a(y) = 2*y**2 - 1709393*y + 5128165. Determine a(3).
4
Let s(o) = o**2 + 1254*o + 136074. What is s(-120)?
-6
Let j(c) = -3*c**2 - 1145*c + 26788. Determine j(-404).
-280
Let i(c) = 2*c**3 + 98*c**2 + 75*c + 3536. Calculate i(-49).
-139
Let q(j) = 2*j**3 - 65*j**2 - 1559*j - 104. What is q(-16)?
8
Let q(y) = y**2 + 250*y + 6416. Give q(-28).
200
Let y(x) = 564*x + 63036. Determine y(-112).
-132
Let j(h) = 4*h**3 + 10791*h**2 - 54063*h + 31. Give j(5).
-9
Let b(m) = -2*m**3 + 92*m**2 - 94*m + 157. Calculate b(45).
-23
Let r(a) = a**3 + 44*a**2 + 106*a - 495. What is r(-41)?
202
Let d(y) = 6785*y - 5271955. What is d(777)?
-10
Let y(p) = -14*p + 453. Give y(107).
-1045
Let u(x) = -5*x**3 - 625*x**2 - 12*x - 1466. What is u(-125)?
34
Let t(y) = 7067*y - 650168. What is t(92)?
-4
Let z(j) = 3*j**2 - 89*j + 81. Determine z(33).
411
Let m(a) = 835*a + 3213. What is m(-4)?
-127
Let b(z) = 2*z**2 - 40093*z + 920876. Calculate b(23).
-205
Let z(v) = -2529*v + 101071. Give z(40).
-89
Let c(b) = 751*b - 65371. Give c(87).
-34
Let s(j) = -j**2 + 99*j - 2435. Give s(37).
-141
Let h(n) = -2*n**2 + 999*n - 3975. Determine h(4).
-11
Let f(j) = -1141*j - 21671. Determine f(-19).
8
Let k(r) = -21*r**3 + 102*r**2 - 174*r + 421. Calculate k(4).
13
Let v(t) = 708945*t - 708950. Determine v(1).
-5
Let j(b) = 1376493*b + 12388428. Determine j(-9).
-9
Let l(k) = 31479*k + 3179379. What is l(-101)?
0
Let i(n) = -170*n + 28964. Determine i(173).
-446
Let l(c) = 227*c**3 + 3*c**2 + 43*c + 43. What is l(-1)?
-224
Let t(a) = 280*a**2 + 7497*a - 1694. Determine t(-27).
7
Let t(i) = 46670*i - 280614. Give t(6).
-594
Let i(u) = -2*u**2 + 7*u + 15667. Determine i(-75).
3892
Let k(q) = 10531*q - 6402850. Give k(608).
-2
Let b(v) = -8*v**3 - 53*v**2 + 49*v + 10. Calculate b(0).
10
Let v(z) = z**3 + 291*z**2 + 3332*z - 4470. Calculate v(-279).
-6
Let u(n) = -286687*n - 1146736. Give u(-4).
12
Let d(s) = 12767*s - 12727. What is d(1)?
40
Let a(b) = 16*b**3 + 49*b**2 + 23*b - 48. Give a(-9).
-7950
Let m(x) = -x**2 - 720*x + 43485. What is m(56)?
29
Let z(j) = 4*j**2 - 1284*j + 100645. Calculate z(136).
5
Let w(t) = 56*t**2 - 5691*t - 2123. Calculate w(102).
19
Let b(n) = n**2 + 9669*n + 57959. Calculate b(-6).
-19
Let c(t) = 64*t**2 - 229*t + 769. What is c(3)?
658
Let n(p) = 182471*p + 912345. Determine n(-5).
-10
Let w(q) = 21*q**3 + 4*q**2 + 220*q + 437. Give w(-2).
-155
Let i(g) = -19*g - 499. Determine i(-29).
52
Let s(u) = -8*u**3 + 8*u**2 + 3*u - 134. What is s(5)?
-919
Let m(z) = z**3 - 201*z**2 + 146*z - 70292. Calculate m(202).
4
Let y(l) = 3*l**2 + 745*l + 1062. Give y(-247).
74
Let f(j) = 24*j**3 - 171*j**2 - 250*j - 78. What is f(-1)?
-23
Let a(d) = -2*d**3 + 666*d**2 - 53701*d - 586. Calculate a(196).
2
Let l(t) = 1097*t + 16703. Give l(-15).
248
Let v(j) = 1316*j + 29913. What is v(-23)?
-355
Let r(x) = -38803*x + 698465. Determine r(18).
11
Let f(g) = 14*g**3 + 13*g**2 + 96*g + 219. Determine f(-3).
-330
Let w(f) = 44*f**2 - 830*f - 41. Give w(19).
73
Let t(z) = 11*z**2 - 2540*z + 12527. Determine t(5).
102
Let o(i) = 6553*i + 655396. Determine o(-100).
96
Let d(g) = -g**3 - 51*g**2 + 1247*g - 87. Calculate d(-69).
-432
Let g(z) = -3*z**3 - 49*z**2 - 116*z + 74. Determine g(-9).
-664
Let c(m) = -321*m + 58390. Determine c(182).
-32
Let r(u) = -2*u**3 + 18*u**2 + 639*u - 78. Determine r(-14).
-8
Let r(j) = 71*j**2 - 388*j + 43. Give r(6).
271
Let m(h) = -3*h**2 - 267*h - 1280. Determine m(0).
-1280
Let q(i) = 529*i - 3937. Determine q(7).
-234
Let l(v) = 4*v**3 - 10*v**2 + 435*v - 2565. Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
8 = 0, -2*d + 4*t + 938 - 958 = 0 for d.
-2
Solve 37*d + 3 = 39*d + m, -2*m - 30 = -14*d for d.
2
Solve -2*g + 1963*l - 1967*l - 4 = 0, 5*g + 10 = 5*l for g.
-2
Solve 0 = -2*v + 5*g + 7, g + 93 = 92 for v.
1
Solve -3*u = -s + 1, -4*u - 1 = s + 12 for s.
-5
Solve -4*y + 2*l + 16 = 0, -77*y = -76*y + l - 1 for y.
3
Solve -9 = -3*t + k, -10 = 4*t + 7*k - 47 for t.
4
Solve 14763*d - 60 = 5*p + 14765*d, -3*p - 4*d = 50 for p.
-10
Solve 4*m - 5*a = 4, -9*m + 4*m - 4*a - 36 = 0 for m.
-4
Solve -16*s - 4*i - 8 = -13*s, -205 = s - 4*i - 197 for s.
-4
Solve 5*y = -4*u - 25, -2*u + 858*y - 860*y - 10 = 0 for u.
0
Solve -4*z + 15 = 5*o - 8, 4*o - 3*z - 6 = 0 for o.
3
Solve -97 = -3*o - 17*m, -41912*m + 33 = 2*o - 41907*m for o.
4
Solve 226*j + 2*r - 46 = 213*j, -j - r + 1 = 0 for j.
4
Solve 2*z - 3*y = 11, -417*y = -2*z - 416*y + 5 for z.
1
Solve -2*w - 4*o = -12, 0 = -2*w + 3*o - 138 + 129 for w.
0
Solve -115*l - 112 = -20*j - 118*l, -4*j + 32 = 3*l for j.
5
Solve -2*y + 3 = -k, -4*y - 1199 = 5*k - 1198 for y.
1
Solve 284*d + 7*m + 71 = 286*d, -d - 25 = 2*m for d.
-3
Solve -4*v = 2*a - 2*a, -4*v + 30 = 2*a for a.
15
Solve 5*u = 7*n + 12, 3*u + 5*n - 208 + 210 = 0 for u.
1
Solve 4*q = 18710*k - 18706*k + 104, -5*k - 80 = 5*q for k.
-21
Solve -u = 5*h - 3, -11*u - 12 = -15*u - 4*h for u.
3
Solve -760*b + 762*b + 8 = y, 4*b + 3*y + 26 = 0 for b.
-5
Solve -21 = -4*y + 3*d, -8*d + 12*d + 9 = -y for y.
3
Solve -25 = -5*o + 10*o - 4*t, -3*t = -15 for o.
-1
Solve -1211 = -4*j + 5*b - 1188, 0 = j - 2*b - 5 for j.
7
Solve -q - 303*r = -306*r - 5, -2*q - 2 = -3*r for q.
-7
Solve -5*o + 20 = 0, 92*g = 89*g + 5*o - 32 for g.
-4
Solve 18 = 2*q + 2*n, 212*q - 216*q + 4*n + 44 = 0 for q.
10
Solve -2*b + 13 = -5*y, -3*b + 6 + 10 = -4*y for y.
-1
Solve 4*k - 151 = -9*r, -r = -91*k + 104*k - 406 for r.
3
Solve 5*a = 3*l + 41, -198*a - 4*l + 20 = -194*a for a.
7
Solve 8*n = 7*n - 6, 0*v - 21 = -3*v + 5*n for v.
-3
Solve -3 - 3 = 3*m, 0 = 2*v + m - 12*m - 50 for v.
14
Solve 0 = 5*w + 17 - 8 - 29, -3*u - 3 = -3*w for u.
3
Solve 0 = 2*f - 364*j + 359*j + 5, -3*f - 6*j - 21 = 0 for f.
-5
Solve 5*k + 200 = -3*c + 153, 5*c - 5*k = -25 for c.
-9
Solve -10 = -2*k + 2*s, -360*s - 31 = -3*k - 355*s for k.
-3
Solve 11 = 3*s + 4*p, -4*s - 657 + 672 = 5*p for s.
5
Solve -2*n + 224 = -n + 229, -3*q + 5*n = -16 for q.
-3
Solve g = -5*r - 2, 100*g = 98*g - 5*r + 6 for g.
8
Solve -l + 641*t = 643*t - 7, 3*t = 2*l + 28 for l.
-5
Solve 5*i - 31 = 3*j + 13, -3*i + 40 = 5*j for i.
10
Solve t = -3*g - 5, 159*t + 2*g = 153*t - 30 for t.
-5
Solve -4*o + 144 = -y, 0 = -3*y + 6472*o - 6474*o + 86 for y.
4
Solve -5533*g = -5537*g + i - 24, i = 3*g + 19 for g.
-5
Solve -4785*h + 4780*h = r + 12, 5*r + 21 = -12*h for r.
3
Solve 2*p + 12*p + 3*w = 10*p, -p = 3*w - 9 for p.
-3
Solve 317 = -2*f - 2*m + 319, 0 = -4*f + 5*m - 41 for f.
-4
Solve -54*o + 57*o + 3*s - 6 = 0, 3*s = s + 8 for o.
-2
Solve 0 = -k + 2*i + 5, 164*i - 85 = -5*k + 162*i for k.
15
Solve -3*j = -5*f + 27, f + 63 = 5*j + 86 for j.
-4
Solve 4*o = 5*x - 6, 4*o - 428*x + 22 = -431*x for o.
-4
Solve -v - 5*d - 30 = 2*v, -2*v - 25 = 5*d for v.
-5
Solve 0 = -i + 6*i - 3*y - 26, 5*y + 54 = 11*i for i.
4
Solve -5*u + 5*d = 2*d + 13, -30 = 2*u + 5*d for u.
-5
Solve -44 = -4*x - 4*s, 3*x - 57 = -4*s - 18 for x.
5
Solve -4*x = 5*j + 72, -1067 = 3*x - 1028 for j.
-4
Solve c = -4*l - 12, -2*c - 17 = 33*l - 32*l for l.
-1
Solve 5*a - 35 = -4*c, 3*a + 848 = c + 852 for a.
3
Solve -3*p + 28 = -74*m + 69*m, 3 = 3*m + 18*p for m.
-5
Solve -133184*d + 133183*d - 3*t - 13 = 0, -2 = -2*d + t for d.
-1
Solve -5*i = 3*a - 26, -5*a + 2*i + 71 = 69 for a.
2
Solve -b + 4*r = -0*b + 121, 0 = -10*r + 166 + 134 for b.
|
{
"pile_set_name": "DM Mathematics"
}
|
ve -4*y = 4*p + 12, -5*p + 25 + 10 = -5*y for p.
2
Solve -3*p - 5*c = -5*p + 14, 2 = 3*p + 2*c for p.
2
Solve -5*g - 25 = -4*j, -2*j = 16*g - 17*g - 11 for g.
-1
Solve 2*g - 3*s = 1, 5*g - 19 = -s + 9 for g.
5
Solve -2*q + 5*r - 19 = 0, 9 - 29 = -5*q - r for q.
3
Solve 11*v = 10*v + 3*z - 11, 0 = 4*z - 12 for v.
-2
Solve 3*p + 6 = j - 8, 4*j = -4*p + 8 for p.
-3
Solve n + 17 = -4*l, l + 4*n = 8*n - 17 for l.
-5
Solve 0 = 5*r - 2*x - 8, 13 - 4 = 2*r + 5*x for r.
2
Solve -2*d + 18 = 3*o + 6, -3*d = 0 for o.
4
Solve 15 = 2*j - b, -4*b = -4*j - 5*b + 15 for j.
5
Solve -15*i = -12*i - p + 15, 4*i = -5*p - 1 for i.
-4
Solve -l = -c + 12 - 15, -6 = -4*c - 5*l for c.
-1
Solve -10*h = -2*k - 6*h + 10, -2*h = 0 for k.
5
Solve 0 = 2*c - 4*y + 26, -2*c = -83*y + 82*y + 5 for c.
1
Solve 14*x - 2*u = 11*x + 2, -14 = 5*x + u for x.
-2
Solve -3*n + 21 = 3*b, 0*b + 1 = -n + 3*b for n.
5
Solve 0*l - 4*l - 12 = 0, i + 6 = -2*l for i.
0
Solve s = 4*y + 2, 0 = -5*s - 4 + 14 for y.
0
Solve -5*z + j + 24 = -0*z, -2*j = 2*z for z.
4
Solve -2*w - i = i + 4, 5 = 5*w + 2*i for w.
3
Solve -n = 3*v - 0*n + 16, -n - 24 = 5*v for v.
-4
Solve -3*l + 12 = x + 3, -5*l - 5*x = -15 for l.
3
Solve r - 5*k = 14, -2*r - 4*k = -0*k for r.
4
Solve -3*b - 4 = 4*f + 1, 4*b - 35 = 3*f for f.
-5
Solve -k = -2*j - 7, -j + 13 = -5*k - 3*j for k.
-1
Solve -5*m = 4*d + 18, -m - 6 + 8 = -2*d for d.
-2
Solve -p - 4*m - 8 = 0, -p - 1 = 11*m - 14*m for p.
-4
Solve -5*g + 2 = -3, 0 = -4*q + 2*g - 14 for q.
-3
Solve 2*f - 3*x = 260 - 267, 0 = f + 4*x + 9 for f.
-5
Solve -3*y + 4*j + 6 = 0, -2*y - 2*j + 4 = -6*j for y.
2
Solve 258*z - 5*l = 261*z, 4*z = 4*l - 32 for z.
-5
Solve 2*f - 2 + 4 = z, -f - 1 = -z for z.
0
Solve -4*v - 2*q = 0, -5*v - 77*q = -80*q - 11 for v.
1
Solve 5*b - 25 = 5*f, 0 = -5*f + 2*b - b - 17 for f.
-3
Solve -3*n + 0*t = 5*t + 24, 5*n - 5*t = 0 for n.
-3
Solve -2*l = y + 2, 2*y + 5*l = -1 - 2 for y.
-4
Solve -o - 3*f + 4 - 2 = 0, -5*o - 22 = -f for o.
-4
Solve 4*v + 7 = 3*y, -4*v - y = -v + 15 for v.
-4
Solve m = -5*h + 62 - 42, 4*h - 40 = 4*m for m.
-5
Solve 2*i = -5*q - 0*i + 13, -3*i = 3*q - 15 for q.
1
Solve 2*y = -2*a + 4, 5*a - 26*y - 16 = -28*y for a.
4
Solve -5*d + 11 = -2*b, -b - 9 = -4*d + 1 for d.
3
Solve 14 = -j + 5*m, -4*j + 21*m = 17*m + 24 for j.
-4
Solve 18*s - 20*s - 3*i + 10 = 0, 12 = s + 5*i for s.
2
Solve 5*d + 5*f - 29 = -9, 0 = 3*f - 3 for d.
3
Solve -5*t = 15, f - 6*f - 3*t - 4 = 0 for f.
1
Solve 2*q - 4*q - 5*x = 8, 2*q = 4*x + 10 for q.
1
Solve 3*u = 3*s - 9, 0 = 9*u - 6*u - s + 7 for u.
-2
Solve 3*p = -2*n + 7, -p - 39*n = -44*n + 9 for p.
1
Solve 3*y = 2*c - 4, -5*y - 4*c + 3*c = 11 for y.
-2
Solve 0 = -2*p - z, 4*z = -p - 6 - 1 for p.
1
Solve -2*n = 2*z + 4, 5*z - 9*n + 13*n = -11 for z.
-3
Solve -5*o - 45 = 4*w, -4*o - w = -2*o + 15 for o.
-5
Solve -h = -5*a + 8, 0 = 4*h + 5*a - 0*a + 7 for h.
-3
Solve 10 = -d + 4*h - 3, -3*d + 21 = 3*h for d.
3
Solve -l - 5 - 5 = -3*m, l + 2*m = 10 for l.
2
Solve 4*o - 3*y + y = -8, -o + 12 = -4*y for o.
-4
Solve -11*b + 15*b = -2*q - 12, 5*q + 2*b - 10 = 0 for q.
4
Solve 6*r - 10*r - 1 = -3*u, 2*r - 10 = -2*u for r.
2
Solve 10 = -0*k + k + 4*b, 0 = -5*k + 2*b - 16 for k.
-2
Solve -f = -5*w - 27, 5*f - w - 35 = 4*w for f.
2
Solve -l - 4 = -3*r, 5*r - 12 = 3*l - 4*l for r.
2
Solve 0 = y - 5*g + 3*g - 1, g + 28 = -5*y for y.
-5
Solve -5*h + 2*i + 11 = 20, 2*h + 5*i = 8 for h.
-1
Solve 2*r - 2 = 5*h, 4*r + 82*h - 87*h - 4 = 0 for r.
1
Solve 0 = 18*l - 4*y - 88, 4*l - 6*l - 3*y = 4 for l.
4
Solve 0 = -44*o + 45*o + 4*t - 13, 0 = 4*o - 3*t + 24 for o.
-3
Solve 4*n +
|
{
"pile_set_name": "DM Mathematics"
}
|
n**2 - 5*n + 161. What is i(h) - 3*q(h)?
-h**3 + 2*h**2 + h + 161
Let y(a) = -3*a + 4. Let t(p) = 16*p - 21. Let v(l) = -16*l + 21. Let w(x) = 6*t(x) + 7*v(x). Suppose -66 = -148*z + 142*z. Determine z*y(i) - 2*w(i).
-i + 2
Let a(t) = -12*t - 12*t + 43*t - 8*t - 12*t. Let w(q) = 4*q - 2. Let j be (-5)/(15/(-6)) - 1. Determine j*w(x) + 5*a(x).
-x - 2
Let c(x) = -3*x + 63. Let v be c(21). Let j be (v + (-21)/7)*6/(-2). Let s(f) = f**2 + 5*f + 2. Let p(a) = 2*a**2 + 11*a + 5. Calculate j*s(w) - 4*p(w).
w**2 + w - 2
Let m(i) = 2*i + 5. Let s(l) = -1. Let p be -9*(17/((-51)/20) - -6). Calculate p*s(w) + m(w).
2*w - 1
Let h(g) = -2*g**2 + 4. Let l = 3 + 4. Suppose -18 = -l*k + 5*k. Let z(w) = -5*w**2 + 9. Let a(v) = v. Let b be a(-4). Give b*z(i) + k*h(i).
2*i**2
Let n(p) = 16*p**2 + 20*p - 20. Let l be (-6)/4*((-8)/(-6))/(-2). Let w(q) = -q**2 - q + 1. Determine l*n(m) + 20*w(m).
-4*m**2
Let q(t) = -8*t - 8. Suppose -20 = -2*d - 0*x + 2*x, -3*x = 12. Let n(s) = s + 1. Determine d*n(v) + q(v).
-2*v - 2
Let k be ((-2)/(-6))/((-5)/30). Let w(g) = g**3 + 7*g - 5. Let l(d) = -d**3 - 3*d + 2. Give k*w(n) - 5*l(n).
3*n**3 + n
Let r(b) = 2*b**3 - 262*b**2 - 6. Let k(v) = v**2 + 1. What is -6*k(m) - r(m)?
-2*m**3 + 256*m**2
Suppose -63*w + 20 = -58*w. Let f(m) = 4*m**3 - 5*m**2 + 5*m + 5. Let y(h) = 3*h**3 - 4*h**2 + 4*h + 4. Calculate w*f(b) - 5*y(b).
b**3
Let z(i) = i + 2. Let n(v) = -12*v - 4. What is -n(u) - 6*z(u)?
6*u - 8
Let z(a) = a - 1. Let i be z(-4). Let j(c) = -11*c - 2. Let d = -23 + 30. Let s(h) = -d*h - 4 + 6 - 3 + 0. Determine i*j(n) + 8*s(n).
-n + 2
Let q(i) = 6*i - 13. Let j(z) = 2*z - 4. Suppose -3*x + 2*s - 19 = 0, 5*s + 0*s - 10 = 0. Let f be x/(-2) - (-144)/32. Calculate f*j(l) - 2*q(l).
2*l - 2
Let o(z) = -3 + 115*z + 4 + 1 - 234*z - 4*z**2 + 121*z. Let s(d) = -7*d**2 + 5*d + 5. Determine 15*o(m) - 6*s(m).
-18*m**2
Let f(x) = 23*x + 62. Let j(p) = 6*p + 17. Let u(l) = -6*f(l) + 22*j(l). Let w(t) be the second derivative of 5*t**3/6 - t**2/2 - t. Determine 3*u(r) + 4*w(r).
2*r + 2
Let w = -374 - -371. Let i(n) = -4*n**2 + n - 3. Let t(j) = -5*j**2 + 2*j - 4. Let h = 2 + 0. Calculate h*t(k) + w*i(k).
2*k**2 + k + 1
Let s(f) = -19*f**3 - 9*f**2 + 9*f. Let w(z) = -5*z**3 - 2*z**2 + 2*z. Let x(p) = -p**2 - 19*p + 214. Let a be x(-27). What is a*s(t) + 9*w(t)?
-7*t**3
Let k(y) = -5*y + 8. Suppose 6*z - 20 + 2 = 0. Let w(q) = -2*q + 3. What is z*k(t) - 8*w(t)?
t
Let h(x) = -3*x**3 - 3*x**2 - 7*x - 4. Let q(c) = -2*c**3 - 2*c**2 - 6*c - 2. Determine -5*h(i) + 6*q(i).
3*i**3 + 3*i**2 - i + 8
Let f(x) = -198*x**3 + 5*x**2 - 15*x - 5. Let h(l) = -199*l**3 + 6*l**2 - 18*l - 6. Calculate 6*f(j) - 5*h(j).
-193*j**3
Let x(u) = 2*u - 8. Let i(k) = 5*k - 23. Determine 4*i(h) - 11*x(h).
-2*h - 4
Let d(k) = 2*k**3 - 1. Let a = -767 + 769. Let w(v) = -v + 1. Calculate a*w(b) + 2*d(b).
4*b**3 - 2*b
Let w(m) = 2*m**2 + 7*m - 2. Let n(z) = 6 + 6*z - 13*z**2 + 23*z**2 - 9*z**2 - 7*z**2 - 27*z. Give -4*n(l) - 11*w(l).
2*l**2 + 7*l - 2
Let n be ((-3)/12)/(6/960*-8). Let f(r) be the third derivative of r**4/8 + r**3/2 + r**2. Let c(a) = 4*a + 4. Calculate n*f(g) - 4*c(g).
-g - 1
Let w be 4 + 1 + (-4 - -4). Let c(d) be the first derivative of 5*d**3/3 - 12*d - 612. Let f(l) = 3*l**2 - 8. Calculate w*c(h) - 8*f(h).
h**2 + 4
Let h(v) = v + 1. Let s(f) be the first derivative of -f**5/24 - f**4/6 - 11*f**3 - 10. Let j(d) be the third derivative of s(d). Give -3*h(w) - j(w).
2*w + 1
Suppose -91 = -9*i + 22*i. Let g(m) = 6*m**2 - 10*m - 2. Let l(p) = 2*p**2 - 3*p - 1. Determine i*l(o) + 2*g(o).
-2*o**2 + o + 3
Let w(g) = -20*g - 4. Let y(f) = 3*f + 1. Give 3*w(z) + 21*y
|
{
"pile_set_name": "DM Mathematics"
}
|
et u be ((-12)/15)/h + 1/5. Solve -4*i = 4 - u for i.
-1
Suppose 73 = 6*b + 7. Suppose 12*a = 85 + b. Solve -a = -7*v + 20 for v.
4
Let j(y) = -6*y**3 - 206*y**2 + 140*y + 30. Let r be j(-35). Solve -r*p + 6*p = 72 for p.
-3
Let y be -1 + 27*(-40)/(-30). Solve -50 + y = 5*x for x.
-3
Suppose -3*b = -3*a - 30, -3*b + 6*b - 20 = 5*a. Let r be b/(-6)*(-12)/10. Solve 5*n + 12 = -r for n.
-3
Let r = 67 - 34. Suppose -5*j - r = -16*j. Suppose -104 + 8 = -j*u. Solve 5*k + 7 = u for k.
5
Let u = 247 - 239. Suppose 0 - 40 = -u*m. Solve 7*n = m*n - 4 for n.
-2
Let z be (-3)/(1/((-2)/3)). Let r(h) = -h**3 + h**2 + 9*h - 2. Let k be 7/(119/102) - (-3)/(-1). Let f be r(k). Solve -z + f = 5*o for o.
1
Let j be 6/4*(-4)/(-3). Suppose b + 1 = -j, 2*n - b - 11 = 0. Let d be (-2)/(-4)*n + 1. Solve d*o + 12 = 3 for o.
-3
Suppose -x + 15 = 2*x. Let y be (-4)/62 + (-62874)/(-15469). Solve 5 - x = y*m for m.
0
Let t = 6 + -3. Let l = -291 - -326. Suppose -2*h + 7 = -g, 31*g - l = 26*g - 4*h. Solve -2*m - t = g for m.
-3
Suppose 0 = 4*u - 4, -3*u + 61 = 3*k + 19. Let r(d) = -5*d + 70. Let a be r(k). Solve a*x = 2*x - 3 for x.
-1
Let f = 16 - 13. Suppose -30 = i - 31. Let o = f - i. Solve 1 + 1 = -o*x for x.
-1
Let b be ((-3)/1)/3*(0/18 + -5). Solve -63*m + 348 = -b*m for m.
6
Suppose -5*p = -167*u + 166*u - 93, 5*p - 3*u = 89. Solve -p*k - 26 - 12 = 0 for k.
-2
Suppose 3*i - d - 32 = -6*d, 5*i - 3*d - 42 = 0. Let r(l) = -2*l - 3. Let g be r(-12). Let t = 23 - g. Solve -b - t*b + i = 0 for b.
3
Let s(d) = -d**2 - 283*d - 2200. Let j be s(-8). Let a = -2 + 5. Solve -i - a = -j for i.
-3
Let d(i) = -2114*i + 4228. Let q be d(2). Solve 45*o - 106 - 209 = q for o.
7
Suppose 12880 = 2*b + 33*b. Suppose 6*m + b - 398 = 0. Solve -20 = -m*l - 45 for l.
-5
Suppose -186*b + 163*b + 1240 = 205. Solve 44*r = b*r - 5 for r.
5
Suppose 173*o = 198*o - 9250. Solve 354 = -4*c + o for c.
4
Let j = 1941 + -1941. Solve j*w - 20 = 10*w for w.
-2
Suppose -19 = -p - 14. Let l be (-407)/(-4) + p/20. Let o = 105 - l. Solve 0 = x + 1 - o for x.
2
Let h = 214 - 213. Let y be (0 + -1*h)*(-122 + 120). Solve w = -y*w for w.
0
Let p(l) = 3*l**2 - 10*l - 597. Let t be p(-25). Solve -24 = t*n - 1531*n for n.
8
Suppose 5*w + 7*w = -1524. Let s = w - -137. Solve s*m + 16 = 6*m for m.
-4
Let n be ((-8)/(-10))/((-64)/(-640)). Solve -11*p = -n*p for p.
0
Let d be (-7)/14 - 786/4. Let t = 258 + d. Solve 0 = -10*w - t + 11 for w.
-5
Let h(c) = 19*c - 60. Let b(p) = -36*p + 120. Let f(x) = -6*b(x) - 11*h(x). Let j be f(9). Solve -7*a - j = -6*a for a.
-3
Let g = -8060 - -8310. Solve g*a = 242*a for a.
0
Let h(d) = -2*d**2 + 2. Let o be h(-4). Let r = -401 - -368. Let f = o - r. Solve 2*x - 11 = -f for x.
4
Let g = -4400 - -4421. Solve g*s - 3*s = 18 for s.
1
Suppose -29*f = -42*f - 2015. Let t be 6 - (6/(-5) - 651/f). Suppose -4*i + 0*i = 0. Solve -u - t*u = i for u.
0
Suppose -5*j + 0*j + 3*s + 49 = 0, s - 13 = -2*j. Let w be 1/(0 - (-2)/j). Suppose -w*p + 6 = -6. Solve p*z - 7 = -22 for z.
-5
Let s(o) = -47*o - 27. Let h(x) = 16*x - 177. Let i be h(11). Let f be s(i). Solve -3*v + 5 = f for v.
-5
Let p(m) = -4*m - 9. Let o be p(-10). Let h = -35 + 74. Let f = h - o. Solve r + r + f = 0 for r.
-4
Suppose -5*i = 4*i - 777 + 165. Solve 0 = 15*b + i - 23 for b.
-3
Let p be (-1673)/(-21) - (-116)/87. Solve 26*y + 49 = -p for y.
-5
Suppose 603*p = 605*p - 1410. Solve 0 = -17*f - p + 654 for f.
-3
Suppose 18*k - 19*k - 4*m + 4 = 0, -2*k = -5*m - 8. Solve 5 = -k*o + 5 for o.
0
Let u(h) = 6*h - 72. Suppose -2*k = 6 - 30. Let d be u(k). Solve 4*b + 4 = -d for b.
-1
Suppose 35*h - 12 = 33*h. Let u(q) = q**2 - 3*q + 10. Let l be u(5). Solve -h*w = -2*w + l for w.
-5
Suppose 2*f + 21 = -o + 6*o, 0 = -4*f + 4*o - 36. Suppose 2*y + m = 32 - 12, 4*y - 2*m = 24. Let z = y + f. Solve z = -0*i - i for i.
0
Suppose -h = 5*n - 25, -5*h = 3*n - 2*n - 5. Let j(a) = 3*a**2 + 3. Let i be j(2). Let w be 32/i - (-10)/(-75). Solve 3*f - n*f = w for f.
-1
Suppose 724*z + 17 = 722*z - 5*t, 35 = 5*z - 3*t. Suppose 4*h - 28 = 24. Solve 0 = -z*d + h + 7 for d.
5
Let s(t) = 2*t**3 - 15*t**2 - 4. Let r be s(7). Let w =
|
{
"pile_set_name": "DM Mathematics"
}
|
ose -3*f - 90 = -5*l + 108, 41 = l - 2*f. What is the remainder when l is divided by 21?
18
Let k(t) = -10*t + 5. Calculate the remainder when k(-2) is divided by 3.
1
Let m(l) = l + 36. Let x be m(0). Let y = x - 22. Calculate the remainder when (-159)/(-12)*-1*-4 is divided by y.
11
Let h(w) = w - 5. Let p be h(5). Suppose 4*f + p*f = 52. What is the remainder when ((-25)/(-4))/(3/12) is divided by f?
12
Suppose -31 + 1 = -g. Calculate the remainder when 36 is divided by (12/g)/(2/100).
16
Suppose -38 = -6*w + 100. Calculate the remainder when w is divided by 13.
10
Let t(f) = f**3 + 2*f**2 + 2*f + 2. Let m be t(-2). What is the remainder when 20 is divided by (2 + (-33)/6)*m?
6
Let t(b) be the third derivative of 1/60*b**5 + 7/24*b**4 + 0 - 7/6*b**3 - 3*b**2 + 0*b. Calculate the remainder when t(-9) is divided by 6.
5
Let v be 3/2*(-48)/(-9). Let h(o) = 2*o**2 - 10*o - 10. What is the remainder when h(v) is divided by 13?
12
Let r(q) = 2*q**2 + 30*q - 9. Suppose 0 = 3*z - 3*b + 8*b + 2, 5*b = -20. Calculate the remainder when r(-16) is divided by z.
5
Let t = 11 + 6. What is the remainder when t is divided by 10?
7
Let f = 34 + -12. Calculate the remainder when 86 is divided by f.
20
Suppose 0*b = 3*b - 2*n - 488, -5*n + 25 = 0. What is the remainder when b is divided by 28?
26
Let n(k) = 4*k + 58. What is the remainder when 22 is divided by n(-13)?
4
Let y(o) = 3*o**2. Suppose 60 + 32 = 4*x. Calculate the remainder when x is divided by y(2).
11
Calculate the remainder when ((-15)/(-2))/((-21)/(-56)) is divided by 11.
9
Suppose -3*q + 150 = -174. Suppose -5*u + 12 = -q. What is the remainder when u is divided by (-1 + 0)/(1/(-13))?
11
Let v(h) = 12*h - 21. What is the remainder when v(10) is divided by 20?
19
Let v(s) = 9*s + 29. Calculate the remainder when v(19) is divided by 68.
64
Suppose -2*l - 5 + 43 = 0. Let o = -2 + 6. Suppose 5*p - 3*j - 29 = 0, 39 = 5*p - o*j + 6*j. Calculate the remainder when l is divided by p.
5
Suppose 40 = 15*v - 10*v. What is the remainder when 45 is divided by v?
5
Let d = 81 + -57. Calculate the remainder when 44 is divided by d.
20
Suppose 3*m - 5*m + 10 = 0. Suppose -m*p - 2 + 7 = 5*z, -4*z - 20 = 0. What is the remainder when 15 is divided by p?
3
Let u = -66 + 45. Let f = 12 - u. Calculate the remainder when f is divided by 12.
9
Suppose -2*t - 3*t = -10. Suppose -t*r + 5*r - 54 = 0. Calculate the remainder when 51 is divided by r.
15
Suppose -2*l + 29 + 59 = 0. Let h(q) = 4 + 5*q + 1 + 2*q**2 - 2. What is the remainder when l is divided by h(-4)?
14
Suppose 10*v = 13*v - 5*s - 40, 5*v + 4*s = 79. Calculate the remainder when 193 is divided by v.
13
Let j(k) = k**3 - 3*k**2 + 4. Calculate the remainder when 11 is divided by j(3).
3
Let g(j) be the third derivative of j**5/2 - j**4/12 - j**3/6 + 5*j**2. Let w be -2*(0 + 2/4). What is the remainder when g(w) is divided by 11?
9
Let o be (15/20)/(1/4). Suppose -o = p - 2*p. Suppose 7 = -p*f + 25. Calculate the remainder when 16 is divided by f.
4
Suppose -g - w + 36 = 0, -w - 121 = -4*g - 2. What is the remainder when g is divided by 11?
9
Let v(p) = -2*p + 1. Let n = 3 - 9. Suppose 4*c + 114 + 64 = 5*i, -5*i + 5*c = -175. What is the remainder when i is divided by v(n)?
12
Calculate the remainder when (280/7)/(1/1) is divided by 14.
12
Suppose 0 = -0*a + 5*a - 10, 4*d - 378 = a. Suppose 23 - d = -6*s. Calculate the remainder when 22 is divided by s.
10
Let r(b) = -5*b. Let p be r(-1). Suppose 0 = 2*o - p*m - 0 + 1, -m = 5*o - 38. Calculate the remainder when 12 is divided by o.
5
Let f be (-2)/(-6) + (-2)/6. Let w(j) = -j + 15. What is the remainder when w(f) is divided by 6?
3
Let g = -9 + 25. What is the remainder when 31 is divided by g?
15
Let l(s) = 17*s + 10. Let w(d) = d + 1. Let j(k) = 2*l(k) - 22*w(k). What is the remainder when j(5) is divided by 15?
13
Suppose -2*m - 2 = -3*m. Let j = m - -21. What is the remainder when 67 is divided by j?
21
Let a be (-2)/3 + (-4)/(-6). Suppose -2*q + 5*s + 71 = a, -2*q - 4*s = -q - 16. Calculate the remainder when q is divided by (-222)/(-24) - 6/(-8).
8
Let a = 0 - -1. Let x = 3 + 1. Let s = x - a. What is the remainder when s is divided by 2?
1
Suppose -2 = -u - 1. What is the remainder when 3 is divided by u?
0
What is the remainder when 29 - (7 - (6 - 3)) is divided by 14?
11
Let c be -3 - ((-3 - -3) + -10). What is the remainder when 2/c + (-201)/(-7) is divided by 10?
9
Suppose w - 320 = -2*w - n, w - 104 = -3*n. Calculate the remainder when w is divided by 27.
26
Suppose 17*s - 15 = 16*s. Calculate the remainder when 24 is divided by s.
9
Let h(p) = -p + 6. Let u be h(6). Suppose 2*m + u*m - 4 = 0. What is the remainder when m/5 + 186/10 is divided by 10?
9
Let n be (-1 + -1 + 3)*3. Suppose -7 - 12 = -f + 4*a, n = -a. What is the remainder when f is divided by 3?
1
Let c = -4 + 53. Suppose 0 = -k + 1 + 16. Calculate the remainder when c is divided by k.
15
Let m be 44 + (0 - 2) - -3. Suppose 8*z = 3*z + m. Calculate the remainder when z is divided by 3.
0
Let m(x) = -x**3 + 4*x**2 + 4*x + 3. Suppose -5*w + 5*h = -35, 0 = -5*h - 5 - 10. Suppose -w*r = -r - 12. What is the remainder when 56 is divided by m(r)?
18
Suppose -9 = w - 13. What is the remainder when 11 is divided by w?
3
Let v(t) = 6*t**2 + 4*t + 2. Let l be v(-4
|
{
"pile_set_name": "DM Mathematics"
}
|
i.
-3
Let w(g) = -145*g + 5*g**2 - 18 - 13*g**2 - 2*g**3 + 122*g. Let s be w(-2). Suppose 0 = -0*i - 2*i. Solve -2*v + 5*l + 0*l + s = 0, 2*v - 3*l - 8 = i for v.
1
Let b be 30/3 + (1/3)/((-7)/(-21)). Solve -3*k + 6 = 0, -122*k + b = -q - 119*k for q.
-5
Let c = 30 + -16. Let g(k) = -k**2 + 16*k - 24. Let n be g(c). Suppose 4*u = n*a - 3*a, -a + u + 3 = 0. Solve -4*b + 0 = -5*p - a, 3*p = -4*b + 4 for b.
1
Let a(k) = -95*k - 91*k + 137 + 256*k - 82*k. Let s be a(11). Solve -2*m - 2 = -2*y, 22 = s*m + 2*y - 1 for m.
3
Let v(q) = -q**2 - 27*q + 277. Let k be v(-35). Let u(d) = -3*d**2 - 8*d + 5. Let b be u(k). Solve 5*r = -3*s + 3*r + 11, 2*r = -b*s + 8 for s.
3
Suppose 0 = -5*y - 2*h - 190, 7*h = 4*y + 4*h + 129. Let a = y + 36. Solve 3*s + 7 + 2 = a, -17 = -2*p + 3*s for p.
4
Let s(v) be the third derivative of -v**6/120 - 11*v**5/60 - 5*v**4/24 - 25*v**3/3 - 24*v**2. Let u be s(-11). Solve r - u*c = 2*r - 22, 2*r = c for r.
2
Let r = 45 - 45. Suppose -k + 10 = 3*v, -k + 3*v = -r*k + 2. Suppose 3*u + k - 1 = -2*c, 4*u + 3 = -3*c. Solve c*m = 0, -2*x + 0*m = -m - 6 for x.
3
Let z(u) = -26*u - 54. Let x(f) = -9*f - 18. Let c(s) = 14*x(s) - 5*z(s). Let v be c(-4). Solve -3*p - 2*l - 9 = 0, p - v*p - 2*l = 3 for p.
-3
Let y be 214/6 + (-11)/(-33). Suppose -16 = 10*h - 14*h, 4*h = -5*x + y. Let s be (2 + -2)*(1 - 0). Solve s*l = -5*l - 5*g + 10, -2*l - x*g = 0 for l.
4
Let q(b) = 5*b**3 + 6*b**2 + 5*b. Let c be q(-1). Let y be 8 - 7 - -4 - c. Solve 4*a - j + 4*j = y, 4*j = -2*a + 2 for a.
3
Suppose 15 = -497*a + 500*a. Let y = 30 + -25. Suppose -3*d + 21 = y*k, 3*k - 35 = -2*d - 3*d. Solve 2*s - 1 = a, -4*p = s - d for p.
1
Suppose -9*h + 38 = 2. Let i be (-3)/h + (-92)/(-16). Let k = 256 - 229. Solve k = m + i*x, 4*m = -0*x - x + 13 for m.
2
Suppose 251 = 5*v - 224. Suppose 0 = -6*z + 5*z - 2*y + 23, v = 5*z + 5*y. Suppose 16*p = z*p + 2. Solve 5*m + 7*l = p*l, -4*m + 5*l = 0 for m.
0
Suppose -3*o + 39 = -597*g + 600*g, 4*o + 2 = 2*g. Solve 0*a - 3 = -3*a - 4*k, -a - 4*k = -g for a.
-3
Suppose -2*n - 15 = -3*v - 8, 4 = 4*n. Let l = -12 - -21. Solve 11 = -3*d + 4*h, -v*d - h + l = -5 for d.
3
Let m(r) = -r**2 + 188*r - 7313. Let c be m(133). Solve -50*h - 16 = -46*h - 4*a, c*a = 4*h + 14 for h.
-3
Suppose 0 = f - 4, -c - f = -2. Let r be 5 - 0/(c/(-1)). Let m(b) = b**3 - 13*b**2 - 32*b + 421. Let k be m(13). Solve r*t = k*n - 3*n + 4, 4*t = 2*n + 4 for n.
-2
Let g = 17003 + -16967. Solve 35*n + 4 = g*n + 2*q, 2*n + 2*q - 2 = 0 for n.
-2
Suppose 15 = -3*z, 2*x + 4*z = 32 - 46. Solve 6*m = 4*s + x*m + 18, -6 = -3*m for s.
-3
Suppose 53*i - 34*i = 0. Let t be 3 + 1 + -2 - -38. Let c be (-2)/((-2)/t*2). Solve -x - c = 4*b, i*b - 2*b = 3*x + 20 for x.
-4
Let i(l) = 8*l + 162. Let r be i(-20). Suppose -r*s - 16 = -2*f, 0 = 5*s - 0*s + 15. Solve f*d - 5*m = -10, 8*d + 8 = 4*d - 2*m for d.
-2
Let a = -491 + 495. Solve 3*m + 4*b = 7*m, -2*m - 4 = -a*b for m.
2
Let m be ((-75)/20 + (-25)/20)*(-1 - 0). Solve l - 7 = -2*q, -4*q + 2*q - m = -3*l for l.
3
Suppose 16*k - 24 = -3*m + 13*k, -5*k = -2*m - 5. Suppose 3*u = 5*p - 7, 35 = m*u - 2*p + 3*p. Solve 0 = -2*w - 2*q + u*q - 22, 27 = -2*w + 5*q for w.
-1
Suppose 4*c - 2*c - 40 = 0. Suppose 3*h + 17*p - 4 = 16*p, h - p = 12. Solve 4*u = 3*o + h, -u - 3*o + c = o for u.
4
Let z(n) = -n**3 + 169*n + 25. Let w be z(-13). Solve -h + 2*a = -1, 5*a = 30*h - w*h - 10 for h.
3
Suppose 0 = -3*x + 4*z + 25, 9*z - 31 = -5*x + 13*z. Let m(q) = -q**2 + 14*q - 2. Let c be m(13). Solve -3*u = 5*l - 4*l - c, 7 = -u - x*l for u.
5
Suppose 0 = -v + v - 3*v. Suppose i - u - 14 - 8 = v, -2*i = u - 35. Suppose 6*f - 11 - i = 0. Solve 4*j = 2*y + 8, 2*j + f*y + 20 = -0*j for j.
0
Suppose 0 = -6*z - 4*z + 19*z. Solve 5*l - j - 9 = z, 5*l + 5*j + 10 = -5 for l.
1
Let v be -3 - -2 - (-5 - -2). Suppose -3*f = -2*h - 8, -h
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1. Let m(p) = o(p) + 2*v(p). What is 5*c(a) + 4*m(a)?
-2*a**3 - a**2 - 4
Let n(r) = -6*r - 13. Let c(o) = -6*o - 16. What is -6*c(f) + 7*n(f)?
-6*f + 5
Let f(y) = -y**2 - 2*y - 90. Let a(s) = -2*s**2 - 4*s - 182. Determine -4*a(j) + 7*f(j).
j**2 + 2*j + 98
Let l be 0 + 2 + 3 + -1. Let x(s) = -s**3 + 8*s**2 - 3*s + 8. Let i be x(7). Let z(y) = -y**2 + y - 1. Let b(o) = 10*o**2 - 9*o + 9. Calculate i*z(m) + l*b(m).
4*m**2
Let w be ((-146)/(-24) + 40/(-480))/(-1). Let d(m) = -1 + 3 + 3*m - 16 - 20*m**2. Let r(p) = 7*p**2 - p + 5. Determine w*d(f) - 17*r(f).
f**2 - f - 1
Suppose -3*l = -16 + 4. Let f(k) = -11*k + 3*k - 5 - l*k + 4*k. Let w(z) = -15*z - 9. What is 11*f(b) - 6*w(b)?
2*b - 1
Let i(t) = t**2 + 2*t - 1. Let r(u) = -363*u**2 - 14*u + 6. What is 6*i(n) + r(n)?
-357*n**2 - 2*n
Let r(x) = -13*x**2 + x. Let t(a) = -14*a**2 + a - 1. Determine 7*r(j) - 6*t(j).
-7*j**2 + j + 6
Let t(c) = 20*c**2 - 20*c + 63. Let a(k) = 7*k**2 - 7*k + 21. Determine -17*a(h) + 6*t(h).
h**2 - h + 21
Let v(d) = -3*d. Suppose -10*b + 20 = 10*b. Let w(q) = -q. Give b*w(f) - v(f).
2*f
Let p(w) = -343*w**2 + 77. Let o(k) = 11*k**2 + 336 - 20*k**2 - 334. Give -77*o(m) + 2*p(m).
7*m**2
Let s be 1*6/(-42) + (-18)/21. Let u(w) = -w. Let r(k) = -8*k + 1. What is s*r(i) + 6*u(i)?
2*i - 1
Let l(a) = 3*a + 1. Suppose -2*w = -2*b - 8, 3*w - 6 = -4*b - 1. Let x(o) = -6*o - 1. Give w*x(j) + 5*l(j).
-3*j + 2
Suppose 0 = 4*x + w - 136, -4*x = x - 5*w - 170. Let o = 35 - x. Let c(i) = -i**3 - 8*i + 2. Let n(j) = j. Calculate o*c(d) + 6*n(d).
-d**3 - 2*d + 2
Let x(y) = -6*y. Let u(v) = -2*v + 21. Let k be u(9). Suppose -k*i + 24 = -15. Let z(l) = -i*l - 11*l + 17*l. Give -6*x(q) + 5*z(q).
q
Let q(c) = 4*c**2 - 2*c. Let t(g) = 2*g + 46. Let h be t(-25). Suppose 2*w - w = 2. Let x(j) = j**2 - j. What is h*x(r) + w*q(r)?
4*r**2
Let n be (-2)/(-6 + 2)*4. Let u(k) = 3*k**3 + 2*k**2 + 2*k - 2. Let c(z) = 7*z**3 + 5*z**2 + 5*z - 5. Determine n*c(b) - 5*u(b).
-b**3
Suppose 2*x = 1 - 7. Let j(u) = -2 + 4*u - 1 - 1. Suppose 2*d - 4*g = -8, 4 - 3 = -d - g. Let y(a) = -5*a + 5. What is d*y(o) + x*j(o)?
-2*o + 2
Let s(y) = 121*y**2 - 7*y - 10. Let c(r) = 40*r**2 - 2*r - 3. Calculate 7*c(g) - 2*s(g).
38*g**2 - 1
Let u(n) = 3*n - 1 + 0 - 2*n. Let y(g) = 5*g - 5. Let l(k) = -k**2 + 14*k + 17. Let a = 82 - 67. Let z be l(a). Determine z*y(i) - 11*u(i).
-i + 1
Let m(k) = 3*k**3 + 3*k**2 + k. Let y = 97 + -102. Let z(j) = 2*j + 7. Let x be z(y). Let g(r) = -3*r**3 - 4*r**2 - 2*r. Give x*m(s) - 2*g(s).
-3*s**3 - s**2 + s
Let c(g) = -2*g**3 - 7*g**2 - 6*g. Let i(t) = -4*t**3 - 14*t**2 - 11*t. Let m = 182 - 188. What is m*i(q) + 11*c(q)?
2*q**3 + 7*q**2
Let l(o) = -o. Let g(q) = 11*q - 2. Let w(t) = t**2 + 27*t + 151. Let u be w(-19). Give u*g(n) - 2*l(n).
-9*n + 2
Let a(h) = 504*h**3 + 27*h**2 + 5. Let k(o) = 252*o**3 + 16*o**2 + 3. Give -3*a(j) + 5*k(j).
-252*j**3 - j**2
Let m(v) = 4*v**2 - 6*v. Let p(r) = -4*r**2 + 5*r - 4. Let a(o) = -16*o**2 + 19*o - 18. Let w(k) = -2*a(k) + 9*p(k). What is 7*m(h) + 6*w(h)?
4*h**2
Let s(w) = 31*w + 18. Let c(f) = 87*f + 56. Determine -6*c(b) + 17*s(b).
5*b - 30
Let k(r) = 6*r**2 + 2*r + 5. Let x(m) = 13*m**2 + 5*m + 11. Let o(v) = 4*v + 47. Let i be o(-14). Determine i*k(z) + 4*x(z).
-2*z**2 + 2*z - 1
Let o(q) = q**3 + q - 1. Let g(y) = -7*y**3 - 5*y**2 - 5*y + 7. Give -g(t) - 6*o(t).
t**3 + 5*t**2 - t - 1
Let r(l) = 2*l**2 + 3*l + 2. Let x(v) = -v**2 - 1 - 2*v + v + 0*v**2 + 0*v. Let z be ((0 + -2)/((-32)/64))/(-1). Determine z*r(t) - 9*x(t).
t**
|
{
"pile_set_name": "DM Mathematics"
}
|
ing order.
-2, -3/4, -2/5, -0.3, -0.2
Put 3, 6, -20 in increasing order.
-20, 3, 6
Sort 41, 4, -4, -2 in decreasing order.
41, 4, -2, -4
Sort -7, -4, -6, -5, 4.
-7, -6, -5, -4, 4
Sort 1, -3, -1, -11, 3 in ascending order.
-11, -3, -1, 1, 3
Sort -0.02, -4, -9, 3/7.
-9, -4, -0.02, 3/7
Put 425, -4, -0.02 in descending order.
425, -0.02, -4
Put 0, -0.14, 1.9 in ascending order.
-0.14, 0, 1.9
Put -12, 0, 5, 1 in increasing order.
-12, 0, 1, 5
Sort 0, 1, -47/3 in increasing order.
-47/3, 0, 1
Sort -33, -6, -10, -2.
-33, -10, -6, -2
Put -0.1, -0.25, 9 in increasing order.
-0.25, -0.1, 9
Sort 3, -21, -6, 1, 5 in increasing order.
-21, -6, 1, 3, 5
Put 0, -1, -4, 22 in descending order.
22, 0, -1, -4
Sort -5, 1, -386.
-386, -5, 1
Sort 0.06, 3/4, -3.5 in increasing order.
-3.5, 0.06, 3/4
Sort -1, -4, 13, 5, 2 in increasing order.
-4, -1, 2, 5, 13
Sort -7, -3, 7, 19, 1 in descending order.
19, 7, 1, -3, -7
Put 3/5, 945, 2 in decreasing order.
945, 2, 3/5
Put -156, -3, 3, -2 in decreasing order.
3, -2, -3, -156
Put -13, 5, -6/11 in descending order.
5, -6/11, -13
Sort 0.8, 0, -1/7 in descending order.
0.8, 0, -1/7
Put -3, -2, -45, 4 in decreasing order.
4, -2, -3, -45
Sort -12, -5, 1.
-12, -5, 1
Put -2/119, -0.1, 5, 0.5 in increasing order.
-0.1, -2/119, 0.5, 5
Sort -5/3, 2, -2/9 in increasing order.
-5/3, -2/9, 2
Sort -1/4, 0.7, -1, -0.1 in decreasing order.
0.7, -0.1, -1/4, -1
Sort 16, 8, -4, 3 in descending order.
16, 8, 3, -4
Put 2, 5, -83 in ascending order.
-83, 2, 5
Sort -8.7, 0.4, -4, -2 in increasing order.
-8.7, -4, -2, 0.4
Put -4, 19, 5, -3 in increasing order.
-4, -3, 5, 19
Sort 72, 0.1, 3, -5.
-5, 0.1, 3, 72
Put 0, 2, -5, 1, 3 in decreasing order.
3, 2, 1, 0, -5
Sort 4, -6, -3/11 in decreasing order.
4, -3/11, -6
Sort -4, -2/3, -1/4, -2.
-4, -2, -2/3, -1/4
Sort 4, -254, -1/3, 1 in increasing order.
-254, -1/3, 1, 4
Put 2, -2.1, 3, 4 in ascending order.
-2.1, 2, 3, 4
Sort -5, -1, 21, 1, -16 in increasing order.
-16, -5, -1, 1, 21
Sort -2, -19, 4, -1, 0 in descending order.
4, 0, -1, -2, -19
Put -5, -3, -873 in increasing order.
-873, -5, -3
Sort 0.3, 12, 108, -1 in decreasing order.
108, 12, 0.3, -1
Put 1, 0.5, -0.07 in decreasing order.
1, 0.5, -0.07
Sort 5, -28, 4 in increasing order.
-28, 4, 5
Sort -2, -0.1, -1/16 in descending order.
-1/16, -0.1, -2
Sort 9, 1, -3, 5, -21 in descending order.
9, 5, 1, -3, -21
Sort 5, 3/19, -2/5, -0.5, 4/9 in descending order.
5, 4/9, 3/19, -2/5, -0.5
Sort -5, 5, -306 in decreasing order.
5, -5, -306
Sort -6, -1, 5, 6.
-6, -1, 5, 6
Put 1, -3/4, -5/3 in descending order.
1, -3/4, -5/3
Sort 2623, -5, 2, 1 in descending order.
2623, 2, 1, -5
Sort -5, -3, 64, -7 in ascending order.
-7, -5, -3, 64
Put -2, 6, -1/2, -3, 2 in descending order.
6, 2, -1/2, -2, -3
Put 12, 2, 7, 1/7, 1/3 in ascending order.
1/7, 1/3, 2, 7, 12
Sort -19, 3, -6, 5 in decreasing order.
5, 3, -6, -19
Sort 2, 6, 5, 3 in decreasing order.
6, 5, 3, 2
Sort -2, -552, -5 in descending order.
-2, -5, -552
Sort -6, 3, -5, -39 in descending order.
3, -5, -6, -39
Put -576.5, 2, -2 in descending order.
2, -2, -576.5
Sort -8, -5, 1, 9, 3 in decreasing order.
9, 3, 1, -5, -8
Sort 23, -2, -3, 1, -8 in increasing order.
-8, -3, -2, 1, 23
Sort 3, -1, 5, 71, -10.
-10, -1, 3, 5, 71
Put -2, 0, -6/691, -1/4 in ascending order.
-2, -1/4, -6/691, 0
Sort 1/3, -0.1, 0.3, 4, 145/6 in increasing order.
-0.1, 0.3, 1/3, 4, 145/6
Sort 0.54, 4, 2/15.
2/15, 0.54, 4
Sort 348, -0.2, 1 in decreasing order.
348, 1, -0.2
Sort -1.2, -1, -5, 5, -1/16 in descending order.
5, -1/16, -1, -1.2, -5
Sort -1, -23, -6, 6.
-23, -6, -1, 6
Sort -51, 4, -3, -1 in decreasing order.
4, -1, -3, -51
Sort 5, 4, -4, -151 in descending order.
5, 4, -4, -151
Put 3/47, -3, 5, -2/11 in decreasing order.
5, 3/47, -2/11, -3
Put -2, 1/95, -8 in ascending order.
-8, -2, 1/95
Put 2, -5, 0.19 in descending order.
2, 0.19, -5
Put -0.2, -2, 1/4, 0.8, 16 in decreasing order.
16, 0.8, 1/4, -0.2, -2
Put -92, 0, 0.2, 1 in increasing order.
-92, 0, 0.2, 1
|
{
"pile_set_name": "DM Mathematics"
}
|
t s(q) be the third derivative of -5*q**9/126 - 23*q**5/60 - 11*q**2. What is the third derivative of s(h) wrt h?
-2400*h**3
Let z(x) = x**3 + 12*x**2 + 11*x. Let u be z(-11). Find the third derivative of -4*o + 3*o**2 + u*o - 3*o**3 + 4*o wrt o.
-18
Let k(b) = -12*b**4 - 6*b**3 + 1. Let h(l) = -35*l**4 - 17*l**3 + 4. Let v(d) = 6*h(d) - 17*k(d). Find the first derivative of v(n) wrt n.
-24*n**3
Let v(r) = -4*r**2 - r + 27. Let n(c) = -13*c**2 - 3*c + 80. Let y(k) = -3*n(k) + 8*v(k). Find the second derivative of y(j) wrt j.
14
Let b(q) be the first derivative of q**8/280 - q**4/12 + 4*q**3/3 + 2. Let k(s) be the third derivative of b(s). Differentiate k(x) wrt x.
24*x**3
Let n(z) be the second derivative of 0*z**2 + 0*z**5 + 0*z**3 + 0 - 4*z + 1/4*z**4 - 1/10*z**6. What is the third derivative of n(o) wrt o?
-72*o
Find the second derivative of -109*s**2 + 3*s - 2*s + 102*s**2 wrt s.
-14
Suppose -4 = -5*q + 3*d + 3, 2*q = 2*d + 2. Find the third derivative of -2*a**3 + 4*a + 3*a**2 - 4*a - 6*a**q wrt a.
-12
Let w(f) be the second derivative of 0*f**4 - 5*f + 0 + 0*f**5 + 1/10*f**6 + 5/2*f**2 + 0*f**3. What is the derivative of w(p) wrt p?
12*p**3
What is the second derivative of u + 20*u**2 - 27*u**2 + 10*u wrt u?
-14
Let d(z) = 11*z + 13. Let n(j) = 6*j + 7. Let a(w) = -10 + w**2 + 5 + 0 - w. Let h be a(4). Let v(b) = h*n(b) - 4*d(b). Differentiate v(r) with respect to r.
-2
Let i(m) be the second derivative of 5*m**4/12 - m**3 + 3*m. Find the second derivative of i(u) wrt u.
10
Let g(c) = -c - 4. Let n be g(-6). Let v = -6 + 8. Find the third derivative of n*r**2 - r**v - r**6 + 0*r**6 wrt r.
-120*r**3
Let n(m) be the second derivative of 4*m**7/21 + 11*m**4/12 - m. Find the third derivative of n(i) wrt i.
480*i**2
Let k(z) be the first derivative of -3*z**5/20 - z**4/6 - z + 3. Let y(n) be the first derivative of k(n). What is the third derivative of y(o) wrt o?
-18
Let q(g) be the third derivative of 0*g**4 + 2/15*g**5 + 0*g - 4/3*g**3 - 7*g**2 + 0. What is the derivative of q(f) wrt f?
16*f
Suppose -1 = -q - m, -3*q + 0*m = -m - 7. What is the third derivative of 0*s**3 - 2*s**2 - q*s**3 + 4*s**2 + 0*s**3 wrt s?
-12
Find the second derivative of -4*a**3 + 6*a - 2*a + 6*a + 22*a wrt a.
-24*a
Suppose 3*v - 16 = f, -v - 4*f + 20 = v. Let x be v/(-3)*4/(-8). What is the third derivative of -1 + x - 3*n**4 + n**4 + 3*n**2 wrt n?
-48*n
Let p(m) be the third derivative of 5*m**2 + 0*m + 1/2*m**3 + 1/6*m**4 + 0. What is the derivative of p(h) wrt h?
4
Let j be 0 + 1 - (-1)/(-1). Suppose -2*l = -j*l - 6. Find the third derivative of 2*h**5 - l*h**5 + 3*h**5 + h**2 wrt h.
120*h**2
Let p(s) be the first derivative of -s**9/1512 - s**5/60 + 2*s**3/3 + 4. Let z(n) be the third derivative of p(n). Find the second derivative of z(g) wrt g.
-40*g**3
Suppose 4*j + 0 - 8 = 0. Find the first derivative of j - 2 + 2*a**4 - 2 wrt a.
8*a**3
Let w(p) = -p**2 + 5*p. Suppose 4*q = -3*r, 2 = -4*r - 5*q + 3. Let m be w(r). Find the first derivative of 3 + 0 - 2*f**4 + m*f**4 + 0 wrt f.
8*f**3
Let s(n) = 62*n**3 - 69*n**2 + 10. Let c(p) = 63*p**3 - 69*p**2 + 12. Let o(m) = 5*c(m) - 6*s(m). Find the third derivative of o(j) wrt j.
-342
Let d(c) be the first derivative of c**4/6 + c**3/6 + c**2/2 + 5. Let v(j) be the second derivative of d(j). Differentiate v(w) wrt w.
4
Let q be ((-6)/(-5))/((-1)/(-5)). Let d(m) = m**3 + 5*m**2 + 3*m - 2. Let t be d(-4). Find the third derivative of -6*v**6 + 2*v**t + q*v**6 + 2*v**6 wrt v.
240*v**3
Let c(n) = n**4 - n**3 - n**2 - n + 1. Let l(h) = -8*h**4 + 2*h**3 + 2*h**2 + 2*h + 9. Let a(b) = 2*c(b) + l(b). What is the first derivative of a(f) wrt f?
-24*f**3
Let o(b) = -b**3 - 13*b + 37. Let v(q) = q**3 + 6*q - 18. Let m(t) = -6*o(t) - 13*v(t). Differentiate m(f) with respect to f.
-21*f**2
Let m(g) = -g**2 + g - 1. Let c(v) = 6*v**3 - 6*v**2 + 6*v - 4. Let p(k) = -c(k) + 6*m(k). Find the first derivative of p(i) wrt i.
-18*i**2
Find the first derivative of 30 + 12*o**3 + 1 - 14 wrt o.
36*o**2
Let x(p) be the third derivative of 47*p**7/210 - 13*p**3/6 - 35*p**2. Find the first derivative of x(c) wrt c.
188*c**3
Let q(y) be the first derivative of y**5/30 - y**4/6 + 3*y**2/2 - 5. Let a(n) be the second derivative of q(n). Find the second derivative of a(d) wrt d.
4
What is the third derivative of -3 + 5*n**2 + 11*n**4 - 8 + 11 wrt n?
264*n
Let d(i) = i**3 + 3*i**2 - i + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
2 (e) 0.3 (f) -1/5
d
What is the fourth biggest value in -2, 0.5, -23, -3, -12, 2?
-3
What is the smallest value in 1, -137, 0.7, -0.3, 0.5, 0.15?
-137
What is the fourth biggest value in 4, -1/2, -1/15, -2/11, -591?
-1/2
What is the biggest value in -6375, 1/84, 1/2?
1/2
Which is the fourth smallest value? (a) -3.7 (b) -0.014 (c) -2 (d) 1
d
Which is the second smallest value? (a) -140 (b) 0.0227 (c) 1 (d) 0.1
b
Which is the fourth biggest value? (a) 22.7 (b) -8/5 (c) -0.1 (d) 7/2
b
What is the biggest value in 17, 2, -1/8, 0.4?
17
Which is the third biggest value? (a) 0 (b) 16 (c) -1 (d) -9669
c
What is the third biggest value in -75/164, -2/3, -46?
-46
Which is the third smallest value? (a) -1/9 (b) -0.2 (c) 7/5 (d) -0.07 (e) -5
a
Which is the second smallest value? (a) 0.4 (b) 2 (c) 5/657
a
Which is the third biggest value? (a) 2 (b) 64992 (c) 8
a
Which is the fifth smallest value? (a) -2/19 (b) 1/97 (c) 62 (d) 1/2 (e) 5 (f) -0.2
e
What is the biggest value in 5, 0.021, -2/765?
5
What is the second biggest value in -879, -0.05, -2, -3/5?
-3/5
Which is the fourth smallest value? (a) -4 (b) -2 (c) 7/6 (d) -228/5
c
Which is the third smallest value? (a) -2/175 (b) 10960 (c) -3
b
Which is the fifth biggest value? (a) -0.17 (b) 3/4 (c) 0 (d) -2 (e) -19
e
Which is the fourth smallest value? (a) -123 (b) 0.5 (c) 2 (d) 1/21 (e) -31
b
What is the second smallest value in -210, 4, 5, -1131?
-210
Which is the fourth biggest value? (a) -0.4 (b) 0.1 (c) 1/11 (d) -2/11 (e) 0.157
d
What is the fourth biggest value in 1183, -2/9, 3/16, 1?
-2/9
Which is the biggest value? (a) 4/7 (b) 5 (c) 3 (d) -3/19 (e) 19/4
b
Which is the third biggest value? (a) -5 (b) 5 (c) 18929
a
What is the fourth biggest value in 42, 26, -2, 1/4, -5?
-2
Which is the biggest value? (a) -0.267 (b) -4 (c) -2 (d) 5 (e) -3
d
Which is the second smallest value? (a) 0.226 (b) -5 (c) 2/13 (d) -2/7 (e) 5 (f) 11
d
Which is the second biggest value? (a) -1/3717 (b) -2 (c) -0.3 (d) -1 (e) 0.3
a
What is the third biggest value in 1/4, 4, 160/39?
1/4
Which is the biggest value? (a) -0.02 (b) -79 (c) -134
a
Which is the second smallest value? (a) 1/8 (b) -0.03 (c) -36721
b
Which is the biggest value? (a) 6/23 (b) 0.9 (c) -3/8 (d) 1.79
d
Which is the second biggest value? (a) 2/3085 (b) 1 (c) -2
a
What is the smallest value in 0.1, -0.14, -2/15, 41, -1?
-1
Which is the fourth smallest value? (a) -5 (b) -9 (c) 2 (d) -69
c
Which is the third smallest value? (a) 1 (b) 567 (c) -6/5
b
What is the biggest value in -0.2, 4, 0.24, -114, 0.1?
4
What is the smallest value in -92023, 0.4, 3?
-92023
Which is the third smallest value? (a) -9763 (b) 0 (c) 0.2 (d) -0.3
b
Which is the fourth biggest value? (a) 48/5 (b) -2/7 (c) 0.2 (d) -1/8 (e) -75
b
Which is the fourth biggest value? (a) 86 (b) -2/15 (c) 3/4 (d) 3478/9
b
Which is the second biggest value? (a) -4 (b) 0.3 (c) 1 (d) 4 (e) -11099
c
Which is the third smallest value? (a) -8882 (b) -0.5 (c) -3/7
c
Which is the smallest value? (a) 11/9 (b) 62 (c) 1/2
c
Which is the fourth smallest value? (a) 3/4 (b) -1/15 (c) 2/177 (d) 3
d
Which is the second smallest value? (a) -1911 (b) -4 (c) 4
b
Which is the fifth smallest value? (a) 1056 (b) -6 (c) 0.5 (d) 0 (e) -3
a
Which is the smallest value? (a) -0.1 (b) -7 (c) 60 (d) 12/13
b
What is the biggest value in -0.3, -4, -0.5, 0.8, -2?
0.8
Which is the third smallest value? (a) -0.1 (b) -4 (c) 6 (d) 2.2 (e) -0.3
a
What is the third biggest value in 1/4, 28, -3, 25?
1/4
Which is the biggest value? (a) 0.79 (b) 1/41 (c) 0.2
a
Which is the smallest value? (a) -21 (b) -0.5 (c) 1/2 (d) -32
d
What is the second biggest value in -3/10, -0.7, 0.03, -2, 10, 1?
1
What is the fourth smallest value in -11, -1/11, -3/37, -2/19, -0.04?
-3/37
What is the third biggest value in 393, 4, 5/17?
5/17
Which is the smallest value? (a) -79 (b) 2 (c) -5 (d) 1 (e) -1
a
What is the biggest value in -3, 4, 1, 5, 57.31?
57.31
What is the third biggest value in -3/4, 23/6, -1, 0.5, 0.04?
0.04
Which is the fourth smallest value? (a) -4 (b) 57 (c) 0 (d) -2/3 (e) 4/57
e
Which is the second smallest value? (a) 27
|
{
"pile_set_name": "DM Mathematics"
}
|
lve 0 = 36*w - 44*w for w.
0
Solve -25*q = -14*q for q.
0
Solve 0 = 26*l - 28*l + 16 for l.
8
Solve 10*l + 89 - 119 = 0 for l.
3
Solve -5*h - 64 = -99 for h.
7
Solve 12*c - 8 = 10*c for c.
4
Solve 0 = 80*y - 72 - 168 for y.
3
Solve 0 = 9*q - 32*q - 69 for q.
-3
Solve -6*x + 13 - 25 = 0 for x.
-2
Solve 1 - 8 = -7*z for z.
1
Solve 552*l = 557*l + 10 for l.
-2
Solve -20*i - 88 = 2*i for i.
-4
Solve -14 = -8*m - 54 for m.
-5
Solve -735*v + 63 = -744*v for v.
-7
Solve 12 = 16*n - 12*n for n.
3
Solve 12 = -31*x + 43*x for x.
1
Solve 9*o - 11*o = 10 for o.
-5
Solve -2 = -4*s - 14 for s.
-3
Solve 440*a = 437*a + 6 for a.
2
Solve -9*u + 14*u + 5 = 0 for u.
-1
Solve -12*l - 117 = -51*l for l.
3
Solve 81*q = 76*q - 35 for q.
-7
Solve 17*y + 171 = -40*y for y.
-3
Solve 2*d + 4 = 10 for d.
3
Solve 0 = -10*z + 11*z + 3 for z.
-3
Solve -15*v = 9*v + 48 for v.
-2
Solve 58*a - 36 = 64*a for a.
-6
Solve 2*p + 2*p + 12 = 0 for p.
-3
Solve 4*g - 2 = 2 for g.
1
Solve -44*d + 59*d + 75 = 0 for d.
-5
Solve 0 = -38*z + 40*z - 2 for z.
1
Solve 0 = -3*i - 12 + 18 for i.
2
Solve -112*a + 110*a = -6 for a.
3
Solve 21*r - 3*r + 54 = 0 for r.
-3
Solve 5*m + 49 = 29 for m.
-4
Solve 57*n = -5*n - 186 for n.
-3
Solve -12*w = 10 + 26 for w.
-3
Solve -9*b = -11*b + 8 for b.
4
Solve 51*k - 272 = -68 for k.
4
Solve -23*n + 24*n = -1 for n.
-1
Solve -80 = -12*s - 20 for s.
5
Solve 28*r + 16 = -12 for r.
-1
Solve 7*z = -42 + 28 for z.
-2
Solve 0 = 2*f + 12 - 8 for f.
-2
Solve -9 = 53*p - 62 for p.
1
Solve -11*n - 27*n = -21*n for n.
0
Solve 9 - 51 = -6*y for y.
7
Solve 53*l - 132 = 80 for l.
4
Solve 57 - 152 = 19*u for u.
-5
Solve -15*h = -8*h + 42 for h.
-6
Solve -3*y - 27*y + 210 = 0 for y.
7
Solve 45*f + 54 = 39*f for f.
-9
Solve -31*p = -29*p + 6 for p.
-3
Solve 63*u - 58*u = -5 for u.
-1
Solve 0 = -8*k - 10*k - 36 for k.
-2
Solve 3*u = -213 + 189 for u.
-8
Solve -11*f + 0 = -11 for f.
1
Solve 105 = -697*i + 662*i for i.
-3
Solve -12*s + 13*s - 5 = 0 for s.
5
Solve -48*o + 6 + 42 = 0 for o.
1
Solve 65*a - 581 = 134 for a.
11
Solve 80 = -16*f + 64 for f.
-1
Solve -190*a - 27 = -181*a for a.
-3
Solve 1 = -3*m + 10 for m.
3
Solve 167*s - 4 = 168*s for s.
-4
Solve 7*r = -126 + 119 for r.
-1
Solve -170 = 45*b - 11*b for b.
-5
Solve -r - 30 + 26 = 0 for r.
-4
Solve -68*a = 66*a - 268 for a.
2
Solve 5*f - 2*f - 9 = 0 for f.
3
Solve 136*x = 131*x - 25 for x.
-5
Solve -103*w + 84*w = 95 for w.
-5
Solve -2*g = 13 - 15 for g.
1
Solve -174*x - 1615 - 299 = 0 for x.
-11
Solve -15 = 42*d - 351 for d.
8
Solve 40 = 14*x + 68 for x.
-2
Solve 21 - 6 = -15*p for p.
-1
Solve 0 + 340 = 34*c for c.
10
Solve 9 - 14 = -5*k for k.
1
Solve 0 = o - 0*o for o.
0
Solve 0 = -10*o - 2020 + 1970 for o.
-5
Solve -54*l + 190 = -16*l for l.
5
Solve -6 + 11 = 5*x for x.
1
Solve 12 = -5*c + 32 for c.
4
Solve 0 = -10*x - 0*x for x.
0
Solve 3*z + 6*z - 45 = 0 for z.
5
Solve 354 = -37*c - 22*c for c.
-6
Solve -49*k = -50*k - 8 for k.
-8
Solve -51*v + 36 + 525 = 0 for v.
11
Solve -2*p + 24 = 2*p for p.
6
Solve -13*k + 79 = 1 for k.
6
Solve -20 = 2*r - 12 for r.
-4
Solve -9*y - 1047 = -1092 for y.
5
Solve 10*o - 33 = 7 for o.
4
Solve -40 = 19*n - 2 for n.
-2
Solve 0 = -6*q - 302 + 278 for q.
-4
Solve 29*x - 34*x - 20 = 0 for x.
-4
Solve 0 = 85*u - 52*u - 330 for u.
10
Solve 60 = 9*d + 6 for d.
6
Solve 3*d = -3*d + 12 for d.
2
Solve -3*f = 4*f + 35 for f.
-5
Solve 0 = 113*j - 69*j - 44 for j.
1
Solve -76*h = -80*h for h.
0
Solve -3*c - 2 = -5 for c.
1
Solve -184 = -12*j - 196 for j.
-1
Solve -309 = 36*u - 93 for u.
-6
Solve -22*n + 784 = -134*n for n.
-7
Solve 0 = 9*k - 4 - 5 for k.
1
Solve -7*w + 1 = -20 for w.
3
Solve 6*i = 7*i + 5 for i.
-5
Solve q - 656 = -652 for q.
4
Solve 79*s - 81*s = -10 for s.
5
Solve 3*x + 9 = -0 for x.
-3
Solve 34 = 27*z + 7 for z.
1
Solve -31*c = -32*c for c.
0
Solve 26 = k + 23 for k.
3
Solve -25*v + 224 = -53*v for v.
-8
Solve 1662 = -5*f + 1647 for f.
-3
Solve -6*l = -56 + 38 for l.
3
Solve -6 = -305*p + 302*p for p.
2
Solve 326 = 25*i + 126 for i.
8
Solve -58*g + 56*g
|
{
"pile_set_name": "DM Mathematics"
}
|
01010000001
-1243350 (base 7) to base 5
-20141303
Convert 2612265 (base 9) to base 13.
3aba55
Convert -1526665 (base 8) to base 12.
-191359
-18b1a05 (base 12) to base 2
-10011110111011101100101
What is -70975 (base 15) in base 8?
-1270236
-15203550 (base 6) to base 9
-886453
Convert 102579 (base 13) to base 4.
1123330320
-36b27 (base 16) to base 2
-110110101100100111
Convert 1010001100101000001 (base 2) to base 7.
2561120
Convert -116326124 (base 7) to base 16.
-702d22
Convert 817590 (base 10) to base 6.
25305050
Convert -844034 (base 12) to base 15.
-2b16d7
Convert -294105 (base 12) to base 14.
-13dd41
What is 13aa434 (base 11) in base 3?
11112200200210
1a18b36 (base 14) to base 16
c5e96c
Convert 5353752 (base 9) to base 8.
12745306
-5daec8 (base 15) to base 16
-448b38
What is 4992c (base 14) in base 7?
1350155
Convert 1204321304 (base 5) to base 8.
12553630
Convert -800063 (base 9) to base 5.
-110104244
-255654650 (base 7) to base 13
-350602a
What is 23320033 (base 4) in base 10?
48655
What is 95800 (base 14) in base 15?
71e8c
1262047 (base 8) to base 6
11323423
4557765 (base 8) to base 7
13341234
222201311 (base 4) to base 15
36932
What is -2793356 (base 12) in base 14?
-109b334
What is 2bb323 (base 16) in base 15?
3b8872
Convert -43154752 (base 8) to base 5.
-4330341301
What is 152176 (base 10) in base 12?
74094
What is 2500215 (base 7) in base 10?
319443
What is -403142310 (base 6) in base 4?
-122031232002
What is 13240443440 (base 5) in base 2?
111111110101100000100101
16566144 (base 7) to base 10
1630017
-863631 (base 9) to base 2
-1111101100110011011
131003030 (base 5) to base 3
1012120022022
Convert -180821 (base 9) to base 7.
-645061
-26220550 (base 7) to base 9
-4444677
Convert -56caaa (base 13) to base 8.
-7657531
-29b82d (base 16) to base 10
-2734125
What is -5226213 (base 9) in base 8?
-12517015
What is -3017212 (base 8) in base 16?
-c1e8a
What is -3624637 (base 8) in base 2?
-11110010100110011111
What is -20212111202001 (base 3) in base 4?
-31323130231
What is -432520143 (base 6) in base 5?
-3432134434
What is -22895b (base 12) in base 3?
-1001011101122
What is -1633a03 (base 11) in base 5?
-1203140441
Convert 3612645 (base 7) to base 9.
766143
What is 104041042 (base 6) in base 10?
1871666
Convert -152133 (base 10) to base 14.
-3d629
Convert 10101222112 (base 4) to base 14.
2126d8
Convert 5774701 (base 8) to base 3.
2221211101000
What is -100132310 (base 4) in base 7?
-400550
What is -903c8c (base 14) in base 8?
-22402664
Convert 4477888 (base 9) to base 7.
26342036
What is -111213112 (base 6) in base 10?
-2023748
Convert 1303331030 (base 4) to base 12.
1aaa38
What is 21000010222 (base 3) in base 9?
230128
11212221012000 (base 3) to base 9
4787160
Convert -22121120201200 (base 3) to base 14.
-8724a6
Convert 11012112010 (base 3) to base 7.
463164
-54025314 (base 7) to base 12
-1657176
Convert -c85fa4 (base 16) to base 2.
-110010000101111110100100
Convert 78b74 (base 15) to base 9.
644621
What is -100011110000111100110 (base 2) in base 5?
-300000232
What is -30101110 (base 5) in base 9?
-402001
Convert -2922736 (base 11) to base 6.
-255413443
Convert -45308a (base 12) to base 2.
-100001101100110101010
-121212121 (base 5) to base 15
-b3bc6
633655 (base 7) to base 4
122231200
111211101101 (base 3) to base 14
712a9
What is -2694b7 (base 16) in base 2?
-1001101001010010110111
What is -111100020011202 (base 3) in base 13?
-16133c0
Convert -1c94c (base 14) to base 3.
-10201101020
What is 5d4d (base 15) in base 6?
232001
What is 60674e (base 16) in base 8?
30063516
15746145 (base 8) to base 15
4c3770
13100434 (base 6) to base 5
102142341
Convert -17165066 (base 8) to base 7.
-45634554
Convert 36736138 (base 9) to base 7.
305533310
What is 2ab0c2 (base 13) in base 7?
11642401
Convert -101502045 (base 7) to base 4.
-112300311210
What is 3040661 (base 7) in base 16?
58988
a480a (base 13) to base 8
1101520
110000011011011010111 (base 2) to base 16
1836d7
-31010112 (base 4) to base 12
-26b86
What is -126a98 (base 12) in base 7?
-2366063
Convert 131440623 (base 7) to base 4.
200022022032
What is -327890 (base 10) in base 9?
-548702
Convert 36a17 (base 14) to base 10.
133693
Convert -395553 (base 11) to base 6.
-21200424
Convert 62060 (base 9) to base 2.
1001111110101110
Convert 11422131 (base 7) to base 3.
1220111220210
What is -7b115 (base 15) in base 9?
-656332
What is -10202110220 (base 3) in base 16?
-120f9
241504 (base 8) to base 11
571a3
What is 109a372 (base 12) in base 10?
3190406
Convert -211111010200 (base 3) to base 8.
-1540352
Convert -1593787 (base 10) to base 5.
-402000122
-10110100111100100001001 (base 2) to base 9
-12136327
314515 (base 12) to base 6
24335225
Convert 721250 (base 13) to base 15.
377bb8
What is 2077720 (base 10) in base 9?
3816077
aa38 (base 11) to base 10
14561
Convert -100212012011 (base 3) to base 6.
-4054221
5e64f (base 16) to base 13
106ca6
2642365 (base 7) to base 12
148714
What is 14c0521 (base 14) in base 4?
212
|
{
"pile_set_name": "DM Mathematics"
}
|
he terms in -6 - 406*j**3 - 2*j**2 + 6 + 1111*j**3 + 721*j**3 - 2*j.
1426*j**3 - 2*j**2 - 2*j
Collect the terms in 21*s**3 + 28 - 49*s**3 - 2*s**2 + 18*s**3.
-10*s**3 - 2*s**2 + 28
Collect the terms in 56*r**2 + 11 + 16 - 25 + 28*r**2.
84*r**2 + 2
Collect the terms in -11*l + 2*l**3 - 61*l + 72*l + 37*l**2.
2*l**3 + 37*l**2
Collect the terms in 13680900*t + 13680910*t - 27361807*t.
3*t
Collect the terms in -18 - 23 - k - 24*k**2 - 2*k**2.
-26*k**2 - k - 41
Collect the terms in -392*v - 6*v + 18*v.
-380*v
Collect the terms in 3*w**3 + 0*w**3 + 13*w**3 - 9*w**3 + 3*w**3.
10*w**3
Collect the terms in 3113 - 3113 - 7*x.
-7*x
Collect the terms in 167*i**3 + 24*i**3 + 527*i**3.
718*i**3
Collect the terms in 52*o**3 + 55*o**3 + 45*o**3 - 219*o**3 + 50*o**3.
-17*o**3
Collect the terms in -106 - 18*m**2 + 38720*m + 106 - 38722*m.
-18*m**2 - 2*m
Collect the terms in 3823*s + 2*s**2 - 1893*s - 1930*s.
2*s**2
Collect the terms in -57926726*z + 2*z**3 + 57926726*z.
2*z**3
Collect the terms in 2*h**2 - 34*h**2 - 8*h**2 + 15*h**2 - 38*h**2.
-63*h**2
Collect the terms in 20*a - 27*a - 100*a + 9*a.
-98*a
Collect the terms in 10*u + 29 + 38 - 67 + u - 7*u.
4*u
Collect the terms in -10*t**3 + 751075 - 751075.
-10*t**3
Collect the terms in 450 + 8*z - 868 + 410.
8*z - 8
Collect the terms in 32 - 377*k - 51 + 19.
-377*k
Collect the terms in 94*q**2 + 76*q**2 + 71*q**2 + 102*q**2 - 373*q**2.
-30*q**2
Collect the terms in 220547450 - 220547450 + 5*f**2.
5*f**2
Collect the terms in -25923*f**2 - 32*f + 32*f + 0 + 25971*f**2 + 0.
48*f**2
Collect the terms in 20 - 781*m + 25 - 54 + m**2 + 781*m.
m**2 - 9
Collect the terms in -17819 + 17819 + s**2 - 125*s**3.
-125*s**3 + s**2
Collect the terms in -100*o**2 + 200*o**2 - 67*o**2 - 76*o**2.
-43*o**2
Collect the terms in 46*m**2 - 47*m**2 - 640933008 + 640933008.
-m**2
Collect the terms in -2*m**3 - 354*m - 9*m**3 - 21*m**3 + 32*m**3 - 2*m**3.
-2*m**3 - 354*m
Collect the terms in -18804*h**3 + 9403*h**3 + 9380*h**3.
-21*h**3
Collect the terms in -65740 + 131472 + 69*x**3 - 65732.
69*x**3
Collect the terms in -805935*g + 402970*g + 402974*g.
9*g
Collect the terms in -66*z + 3 - 68*z - 67*z + 198*z.
-3*z + 3
Collect the terms in -34597*f - 34597*f + 103802*f - 34604*f.
4*f
Collect the terms in -60*q**3 + 21*q**3 - q**3 + 17*q**3 - 105*q**3.
-128*q**3
Collect the terms in 53*l + 38*l**3 + 35*l**3 - 69*l**3.
4*l**3 + 53*l
Collect the terms in f - 149 - 166 - 145 + 626 - 166.
f
Collect the terms in 14*t**2 + 5*t**2 + 0*t**2 + 87*t - 87*t.
19*t**2
Collect the terms in -7*n - 26997 + 54001 - 27004.
-7*n
Collect the terms in -3*q**2 - 9 + 23 - 14 - 36*q**2.
-39*q**2
Collect the terms in -14*f**2 - 799*f**3 - 7*f**2 + 21*f**2.
-799*f**3
Collect the terms in 129*s - 129*s - 1049*s**3.
-1049*s**3
Collect the terms in 60586 - 865092*z**2 + 865088*z**2 - 60586.
-4*z**2
Collect the terms in -m**3 + 17218*m**2 - 8607*m**2 - 8611*m**2.
-m**3
Collect the terms in -2*k + 141 - 6 + 161.
-2*k + 296
Collect the terms in 90*c**2 + 281*c - 279*c - 84*c**2.
6*c**2 + 2*c
Collect the terms in 95 + 30 + 18*y + 2*y**2 + 22*y - 35*y + 27.
2*y**2 + 5*y + 152
Collect the terms in 2 + 2 - 24*t**2 + 4 - 8.
-24*t**2
Collect the terms in 5 - 201*d + 101*d + 13 + 103*d - 18.
3*d
Collect the terms in 6328388*c**2 + 4 - 4 - 4*c**3 - 6328388*c**2.
-4*c**3
Collect the terms in -2330*u + u**2 - 2333*u - 11*u**2 + 4663*u.
-10*u**2
Collect the terms in -5*i + 5*i - 2*i**2 + 0*i**2 + 27.
-2*i**2 + 27
Collect the terms in 94*q**3 - 16*q**3 + 18*q**3 - 8*q**3.
88*q**3
Collect the terms in 4 - 1 - 5 - 109*l**2 + 4 - 88*l**2.
-197*l**2 + 2
Collect the terms in -9*n**2 + 256*n - 262*n + 15*n**2 + 6*n.
6*n**2
Collect the terms in 62*t - 89*t - 184*t.
-211*t
Collect the terms in 14*q**2 - 11*q**2 - 9*q**2 + 25*q**2 + q**2 + 25*q**2.
45*q**2
Collect the terms in 100*o + 36*o + 17*o - 33*o - 2.
120*o - 2
Collect the terms in 40*b - 9411961 + 9411961.
40*b
Collect the terms in 1049*c + 837*c - 1899*c.
-13*c
Collect the terms in -21*k + 2*k**2 + 341*k - 320*k.
2*k**2
Collect the terms in -154*j**2 - 208*j**3 + 163*j**2 - 9*j**2 + 217*j**3.
9*j**3
Collect the terms in 157519*g**2 - 92*g**2 + 4972*g**2.
162399*g**2
Collect the terms in 0*g
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 + 13*y + 9*y - 22*y.
-101*y**3
Collect the terms in 429 - 6*s**3 - 429.
-6*s**3
Collect the terms in 812790*o**2 + 11*o**3 - 812790*o**2.
11*o**3
Collect the terms in -3*n**2 + 4*n**2 + 6*n**2.
7*n**2
Collect the terms in -20*b**2 - 30*b**2 - 9*b + 51*b**2 + 9*b.
b**2
Collect the terms in -89 - 72*w + 89.
-72*w
Collect the terms in j**3 - 13480*j - j**3 - j**3.
-j**3 - 13480*j
Collect the terms in 0*l + 11*l**2 + 0*l + 0*l.
11*l**2
Collect the terms in 13839 + 7*a - 13839.
7*a
Collect the terms in 3 + 2 - 5 + 91*y**2.
91*y**2
Collect the terms in 571*r + 394*r - 226*r.
739*r
Collect the terms in 0*n**3 + 0*n**3 + 3*n**3.
3*n**3
Collect the terms in 46*v**2 - 112*v**2 + 46*v**2 + 47*v**2.
27*v**2
Collect the terms in j**3 + 28*j**3 - 13*j**3.
16*j**3
Collect the terms in 0 + 31*j**2 - 1 + 1.
31*j**2
Collect the terms in -4*l - 5*l - 8*l + 22*l.
5*l
Collect the terms in 65569*b - 65569*b - 14*b**2.
-14*b**2
Collect the terms in -17*n - 1 - 37*n - 1.
-54*n - 2
Collect the terms in -3*r - 173*r**3 + 3 - 4 - 2*r.
-173*r**3 - 5*r - 1
Collect the terms in -126*m**2 - 249 + 249.
-126*m**2
Collect the terms in -17*g + 17*g - 49*g**2.
-49*g**2
Collect the terms in -2*t**3 - 178*t + 178*t.
-2*t**3
Collect the terms in 0*i - 15*i + 7*i + 5*i.
-3*i
Collect the terms in 4 - 82*p**3 - 2 - 2.
-82*p**3
Collect the terms in 622 - 622 + 14*s.
14*s
Collect the terms in -7*r + 5*r + r - 3*r.
-4*r
Collect the terms in 42*s**3 + 36 - 20 - 16.
42*s**3
Collect the terms in 5*w**3 - 3*w**3 + 493585*w**2 - 493585*w**2.
2*w**3
Collect the terms in 49 - 125 + 4*s**2 + 76 - 3*s**2.
s**2
Collect the terms in -i**2 - 2*i**2 - 2*i**2 + 2*i**2.
-3*i**2
Collect the terms in -65*j - 116 + 117 - 9*j.
-74*j + 1
Collect the terms in -3*b - 15*b**2 + 3*b + b**3.
b**3 - 15*b**2
Collect the terms in -154*g**2 - 9*g + 2*g - 86*g**2.
-240*g**2 - 7*g
Collect the terms in 166 - 9*s**2 + 9*s**2 + 4*s**3.
4*s**3 + 166
Collect the terms in 118*m**3 - 24*m**3 - 96*m**3.
-2*m**3
Collect the terms in 9*n**3 + 18*n**3 - 35*n**3 + 9*n**3.
n**3
Collect the terms in -60*d**3 + 17*d**3 + 48*d**3.
5*d**3
Collect the terms in -14*u - 9*u + 26*u - 7*u.
-4*u
Collect the terms in 6*x**2 + 26*x**3 - 14*x**2 + 9*x**2 + x**2.
26*x**3 + 2*x**2
Collect the terms in 16 - 16 + 311*c.
311*c
Collect the terms in -17*y - 16*y - 6*y**3 - 4*y.
-6*y**3 - 37*y
Collect the terms in -27*i**3 - 26*i**3 + 0*i**3.
-53*i**3
Collect the terms in 1759*a**2 - 887*a**2 - 878*a**2.
-6*a**2
Collect the terms in -8*a**2 - 9*a**2 - 66*a**2 - 12*a**2.
-95*a**2
Collect the terms in 0 + 0 + 11*f.
11*f
Collect the terms in 473 + l - 954 + 481.
l
Collect the terms in -707*p**3 - 708*p**3 + 1416*p**3.
p**3
Collect the terms in -38*l + 100*l - 64*l.
-2*l
Collect the terms in 859*t + 2*t**3 - 859*t.
2*t**3
Collect the terms in 171*w**3 - 343*w**3 + 173*w**3.
w**3
Collect the terms in -108*y**3 + 11*y**2 - 2*y**2 + 109*y**3 - 9*y**2.
y**3
Collect the terms in 168*u + 162 - 162.
168*u
Collect the terms in 6*s**3 + 0*s**2 + 27*s**2 - 4*s**3 + 6*s**2.
2*s**3 + 33*s**2
Collect the terms in -2*c**3 - 5*c**3 + 4 - 4.
-7*c**3
Collect the terms in 7*v**3 - 2*v**3 - 2*v**3 + 0*v**3.
3*v**3
Collect the terms in -517*m**2 + 663*m**2 + 0 + 0.
146*m**2
Collect the terms in 107*i**2 - 108*i**2 - 2*i + 2*i.
-i**2
Collect the terms in 0*u**2 + 15 - 7 + 2*u**2 - 7*u**2.
-5*u**2 + 8
Collect the terms in -1464*f**3 - 1464*f**3 + 2930*f**3.
2*f**3
Collect the terms in -5*a + 4*a + a + 3*a.
3*a
Collect the terms in 1 - 1 + 8*a + 3*a.
11*a
Collect the terms in 22*m**3 - 24*m**3 + 36*m**3 + 2*m**2 + 30*m**3.
64*m**3 + 2*m**2
Collect the terms in 11*m**3 + 0*m - 3*m + 3*m.
11*m**3
Collect the terms in 2*p + 2*p - 5*p - 43.
-p - 43
Collect the terms in -2239*h - 2240*h + 4477*h.
-2*h
Collect the terms in -89 + 12 + 77 - 2*o.
-2*o
Collect the terms in -2 + 2 + 6*t - 5*t**2.
-5*t**2 + 6*t
Collect the terms in 7*p - 46 + 46 - 3*p.
4*p
Collect the terms in -18*f + 10 + 11 + 6 - 25.
-18*f + 2
Collect the terms in 5*w - 5*w - 6*w + 3*w.
-3*w
Collect the terms in -1072*v + 1072*v - v**2.
-v**2
Collect the terms in -166 + 166 + 6*t.
6*t
Collect the terms in 17*x - 8*x - 9
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -5?
-31
What is 0 + 2 + 33 + (-13 - 11) + (2 - -8)?
21
Evaluate -82 + (20 - (-1 + 4)).
-65
Evaluate (-70 - 1) + 164 + -140.
-47
Calculate (-240 - (-159 - -58)) + 54.
-85
Calculate (83 - (105 + -39)) + (21 - -6).
44
8 + (5 - 13 - -7 - (9 + -7)) - -21
26
Calculate 5 + -16 + 0 + (4 - 0) - -87.
80
What is (-3 - 6 - 0) + 2 + (7 - 15 - -71)?
56
Evaluate 70 + (-288 + 298 + (-20 - (-3 - -1)) - -5).
67
What is -68 - (31 - (22 - -58))?
-19
Calculate (-2052 - -2099) + (-2 - -5).
50
2 - -121 - (1079 - 1018)
62
Calculate (-1 - -9 - 25 - -29) + 34 + 1.
47
37 + -62 + (1 - 8) + 12 + (3 - 3)
-20
Evaluate -1 + 6 + -62 + 289 + -150.
82
288 + (-466 - -200) + 13 + -1
34
Calculate -5 - (1 + 11 + -9 + -3 + 6 + -9).
-2
-13 + -1 + -1 + 1 - (116 - -4 - 2)
-132
Calculate (5 - (25 + -19)) + 2 + (2 - -146).
149
What is -108 - (-81 - 71 - -113)?
-69
Calculate -1 + -19 + -1 + (874 - 860) - 13.
-20
What is the value of -23 - (6 - (81 + -6)) - 1?
45
What is the value of 12 + (-114 - (26 - -3)) + 3 + -9?
-137
Calculate 1 - (1 - 89) - (29 - 12).
72
Evaluate -12 - ((23 - (-10 - -38)) + (-1 - 56)).
50
What is the value of 1 + (5 - (-8 - -15)) + -5 - (36 + -33)?
-9
What is the value of 78 - (10 - -30 - -29)?
9
What is the value of (51 - 78) + -32 + 7 + 13?
-39
(-6 - (66 + 1 + -14)) + 6 + 3 + -8
-58
What is (-6 + 0 - -5) + -3 + 7 + -88 + 120?
35
What is the value of -9 - (-6 + 85 - (30 + 7))?
-51
What is -53 + 7 + (-23 - (-4 - 15))?
-50
What is -124 - (-108 - (50 - 107))?
-73
What is 178 + -75 + -65 + -73?
-35
Calculate (-15 - (4 + -10) - (-11 - -1)) + 2 + -43.
-40
Calculate -4 + 38 + 21 + -43 + 129.
141
What is the value of (3 - 2 - 5) + (-60 - -50)?
-14
Evaluate (-7 - (10 + (6 - 9) - 8)) + 7 - -35.
36
Evaluate (-1 - 125) + (-334 - 66) + 443.
-83
-12 + (-13 - -17) - (-26 + 116 - -4)
-102
What is the value of 7 - (7 - -6) - ((-24 - -22) + 18)?
-22
What is the value of (-133 - ((18 - 33) + 43)) + 36?
-125
Calculate 37 - (-4 + -2 + 3 - ((16 - -24) + -39)).
41
What is (-7 - -18) + (-27 - 28)?
-44
What is -132 + (7 - 46) + 87?
-84
29 + (21 - 43) + (41 - (6 - (3 - 0)))
45
52 + -81 + (7 + 6 - -1)
-15
Calculate -62 + -2 + 0 + 3 + 1 + -313 + 308.
-65
What is (-12 - -18 - 1) + (-11 + -51 - -2) + -14?
-69
What is the value of (-3 + 2 - -9 - (-721 + 724)) + 15?
20
Calculate (726 - 708) + -1 + 3.
20
Calculate (92 - -1) + (10 - 8 - 21) + -8 + 14.
80
Evaluate -858 + 909 + (-68 - 0).
-17
What is the value of (16 - 8) + (1 - 143 - (18 + -21))?
-131
Calculate 7 + (-12 + -3 - -5) + (-3 + 3 - -44).
41
0 + -1 + 31 - (17089 + -17086)
27
What is the value of 35 + 11 + 66 + -65?
47
Calculate 1 - 17 - (-74 + (-34 - -14)).
78
What is the value of -9 + -1 + (12 - 15 - -14) - -29?
30
Evaluate -47 + -1 - (-21 - 38 - -53).
-42
-76 + -14 - -80 - (2 + 12 + -2)
-22
101 + (-49 - 5) + -40
7
(132 - 130) + -22 + (-2 - -6)
-16
-50 - ((0 - 15) + -1 + (17 - (16 - 8)))
-43
Calculate 62 - (68 + -91 + 201).
-116
Calculate 1 + -3 - -111 - (68 + -204 - -142).
103
Calculate -8 + -19 + -3 - (11 + (-15 - 8)).
-18
(-78 - -35) + (78 - 1)
34
Evaluate (-524 - -520) + (16 - 0) + -1 + (22 - 132).
-99
What is the value of 0 + -38 + (-11 - (0 + -16 - -20))?
-53
Evaluate 32 + 4 + (-22 - 16).
-2
What is the value of 3 + (0 - 2) + 4 - (153 + (146 - 186))?
-108
What is the value of 60 + (-90 - -24) - (-3 + 9 - (1 - 3))?
-14
What is the value of -3 + -5 + (9 - 4) + (-6 - -14) - -32?
37
What is -43 - ((120 - 26) + -59)?
-78
8 - 9 - ((15 - 23) + 17 + 2 + 1)
-13
(-8 - -1) + 7 + -40 + 41 - -25
26
51 + (-110 - -27) + -66
-98
What is the value of (-21 - (-51 + 10)) + (-11 - -1) - -128?
138
What is 18 + (1 - 0) + 25 + -110?
-66
Calculate (-45 - -74) + 39 + (-8 - (0 - -1)).
59
Calculate (4 - (0 + -1)) + 89 + (23 - 33).
84
What is -8 + -20 + 5 + 3 + 11?
-9
What is (28 - 66 - -22) + 37 - 20?
1
(9 - (16 - 27)) + -18 + 0 + -1 - 70
-69
4 - (2 + -13) - (-364 + 383)
-4
-8 + (2 + -9 - (-258 + 273) - -141)
111
(-20 - (-92 - -73)) + (110 + -1 - -3)
111
Evaluate 140 - ((63 - 67) + 103).
41
14 + -1 + -50 + 1
-36
37 - (23 - (23 - (38 + -23)))
22
Evaluate 21 - 0 - (-12 - (60 + -88)).
5
(5 - -5) + -37 + -56 + 51
-32
What is 34 + (-4 - 17) + -53?
-40
390 + -151 + -133 + -103
3
Calculate 47 + -73 + 28 + -32.
-30
-9 + -3 + (109 - 112) - (0 - -7 - 4)
-18
What is -44 + 25 + 26 + -61?
-54
Evaluate (-974 - -815) + (11 - -77).
-71
Evaluate -33 + (21 - (23 - (-14 - 2))).
-51
What
|
{
"pile_set_name": "DM Mathematics"
}
|
0*q. Solve q*w + 3 = -2*w - m, 2*w + 6 = -4*m for w.
-1
Let x = 17 - 10. Let z(q) = q**3 + 5*q**2 + 6*q + 5. Let s be z(-4). Let i be 0 - s/((-9)/(-6)). Solve 5*y = 2*j - x, -y + i*j + 11 = -2*y for y.
-3
Let t = -112 - -133. Suppose -o = -3*o + 6. Solve t = 3*g - o*n, -2*g - 4 = 3*n + n for g.
4
Let q be (-8)/12*(1 + -7). Suppose 0 = -5*v + q*v. Solve 5*a - w - 4*w + 15 = v, 5*a + w = -15 for a.
-3
Let g be (-3 - -3) + 2 + 0. Suppose 3*m + x = -2, 5*x + 10 = -g*m + 4*m. Solve 5*r + v = m, -v + 2*v = 4*r - 9 for r.
1
Suppose 0 = -4*s - 5*l + 3*l - 6, 4*l = s - 12. Let x be 2 + s + (2 - 1). Solve -5*u + x*r - 18 = -2*u, -5*r = -2*u - 21 for u.
-3
Let t be 7*((-36)/14 + 3). Solve -r = 4*z + 20, -t*r - 3*z - 15 = -0*z for r.
0
Suppose 5*t - 16 = t. Suppose t*u + 4 = 3*u. Let k(m) = -2*m - 4. Let i be k(u). Solve s - b - 7 = 0, -i*s + b + 24 = 8 for s.
3
Let q(v) = -2*v - 3. Let p = -15 - -6. Let o be (-1 - -4)/(p/12). Let g be q(o). Solve w = -5, -g*w - 18 = 4*h + 15 for h.
-2
Suppose 0 = 3*z - 0*v + 4*v, 0 = -z - 2*v - 2. Suppose 12 = -0*f + 4*f. Suppose 0*h + h - f = 0. Solve z*k - 3*m - 2*m - 5 = 0, -h*k + 4*m = -4 for k.
0
Let q(s) = -s**3 - 6*s**2 + 6*s - 5. Let r be q(-7). Let p = r + -2. Solve p = n + l - 0 - 1, -2*l = n for n.
2
Suppose -21 = -6*p - 9. Solve p*w = -3*i - 15, -3*i - 3*w + 0*w - 15 = 0 for i.
-5
Suppose 0 = 5*y - y + 4*a - 48, 4*a + 12 = y. Let s = 12 - y. Solve s*z = 3*f - 5*z, -3*f + 4*z - 3 = 0 for f.
-5
Suppose -n - 4*n + 10 = 0. Suppose n*y - 4*y = -6. Solve -o + 1 + y = -3*m, 2*o = 5*m + 8 for m.
0
Suppose 3 = -4*m + 3*z, -2*m + z + 26 = 5*z. Suppose 0*y = 5*y - m*f - 17, 1 = f. Solve 2*n - 5*r = 8, y*r + 10 = 2*n - 4*n for n.
-1
Let k(l) = l - 2 - 2*l**2 - l**3 + 6 - 5. Let m be k(-3). Solve 5*s - 3*w + w - 21 = 0, 3*s - 5*w - m = 0 for s.
5
Let y = 17 - 11. Let z(b) = -6*b + 15*b - 6 + 0 - 6*b**2 + 5*b**2. Let m be z(y). Solve -3*v = -0*f - 5*f - 18, -4*f - m = 0 for v.
1
Let p(r) = 2*r**3 - r**2 + 1. Let s be p(1). Suppose -4*a + s*a = -2. Solve -g = -3, -2*h - g - 6 = a for h.
-5
Let c(i) = -i + 10. Let o(u) = -3*u + 1. Let j be o(-2). Let p be c(j). Suppose 4*z - 6 = -2. Solve 5 = -4*x + z, -q = -p*x for q.
-3
Suppose -3*g = k - 20, 2*k + 10 = -k + 5*g. Let m be (-8)/(-14)*7/2. Suppose m*q - 28 = -2*b - 0*q, -40 = -3*b - 5*q. Solve -x = 5*a - b, x - 2 - k = -a for x.
5
Let k(v) = -v**2 - 4*v + 3. Let m be k(-3). Let a(n) = -5*n - 69. Let l be a(-15). Solve -l*d + d - 24 = p, -2*d = 4*p + m for p.
1
Let k be ((-52)/(-20) + (-6)/10)/1. Solve 0 = k*c + j + 3*j + 4, j + 1 = -2*c for c.
0
Suppose -2*p + 0*p = 0. Suppose n - 1 - 1 = 0. Solve n*h = s + 2*s, p = 2*s + h - 7 for s.
2
Suppose -4 = -4*d - 12. Let g = 32 + d. Suppose 5*o - g = -5. Solve o*p = 5*q + 10, -4*p + 4*q + 7 = -p for p.
1
Suppose -3*q + t + 2 = -9, 0 = -3*q - 4*t + 16. Solve 2*a + 28 = 3*i + i, -q*i + 24 = -a for i.
5
Let h = -261 - -264. Let r(t) = t**2 - t - 4. Let u be r(4). Let q(m) = -m**3 + 5*m**2 + 3*m - 3. Let f be q(5). Solve -2*j - z + f = -2*z, h*j - u = -z for j.
4
Let a = -4 - -6. Solve -4*b + a*q + 10 = -8, 0 = 5*b + 2*q for b.
2
Suppose -4*f - 4 + 16 = 0. Let u be -1 + 1 + (10 - 2). Let t(h) = -h**2 + 5*h - 3. Let n be t(3). Solve -24 = 3*q + f*p, -5*q + 0 = -n*p + u for q.
-4
Let f(t) = 3*t**2 + 10*t + 8*t**2 - t**3 + 8*t**3 - 6*t**3. Let o be f(-10). Suppose o = -3*x + 7 + 2. Solve -5*h = a - 25, -x*h = 3*a - a - 15 for a.
0
Suppose -7 = 3*u + 4*b, 3*b - 13 = -3*u + 4*b. Solve -u*q - v = -3*v - 9, -q + 2*v + 3 = 0 for q.
3
Let m be 2*-3*(-2)/3. Let i = -4 + m. Suppose i = 2*k - j - 13, -4*j - 2 = 3*k + 6. Solve z = -z - k*n + 18, -3*n = -2*z - 10 for z.
1
Suppose -3*f + 32 = -i - 163, -2*i - 130 = -2*f. Let s = -40 + f. Solve -5*p = -4*u + 20, -u + s = 4*u for p.
0
Suppose 5*y = 2 + 33. Solve -y = 2*o - h
|
{
"pile_set_name": "DM Mathematics"
}
|
when two letters picked without replacement from {l: 4, q: 3, g: 5}?
1/11
Three letters picked without replacement from horhorrrh. What is prob of sequence rhh?
1/21
Calculate prob of sequence bpbv when four letters picked without replacement from {b: 4, a: 1, y: 1, p: 2, v: 2}.
1/105
Calculate prob of sequence gyoi when four letters picked without replacement from {i: 1, g: 2, y: 3, o: 1}.
1/140
Calculate prob of sequence uags when four letters picked without replacement from suggaauaguu.
1/220
Two letters picked without replacement from wwiiv. Give prob of sequence iv.
1/10
Three letters picked without replacement from ohihldo. What is prob of sequence dhl?
1/105
Two letters picked without replacement from xyq. What is prob of sequence xq?
1/6
Three letters picked without replacement from qpqcpqpxbc. What is prob of sequence bpc?
1/120
Four letters picked without replacement from {r: 1, x: 1, d: 10, h: 5}. What is prob of sequence hhhr?
1/952
Calculate prob of sequence ffff when four letters picked without replacement from fffpfppf.
1/14
Three letters picked without replacement from {m: 1, p: 1, i: 3}. What is prob of sequence ipm?
1/20
Three letters picked without replacement from {j: 4, y: 1, e: 2, b: 6}. What is prob of sequence eby?
1/143
Four letters picked without replacement from {l: 7, y: 2, b: 6}. What is prob of sequence lbyb?
1/78
Four letters picked without replacement from mmbbbbjmjmb. What is prob of sequence bmjm?
1/66
What is prob of sequence ex when two letters picked without replacement from {e: 1, x: 3, w: 3, c: 3}?
1/30
What is prob of sequence cjv when three letters picked without replacement from mmcvcjcjjju?
2/165
Calculate prob of sequence rbb when three letters picked without replacement from tbbgbgggbrggbbubtb.
7/612
Four letters picked without replacement from lgqilllitbtlt. What is prob of sequence lltg?
1/286
What is prob of sequence gkkw when four letters picked without replacement from wgwqbbbkbkqwwqwbkww?
7/15504
Two letters picked without replacement from piytyytaspt. What is prob of sequence sy?
3/110
Four letters picked without replacement from {b: 2, p: 1, g: 4}. Give prob of sequence bpbg.
1/105
What is prob of sequence gz when two letters picked without replacement from ogoggzsnggggsggog?
5/136
What is prob of sequence gsgo when four letters picked without replacement from {s: 2, o: 5, g: 2}?
5/756
Four letters picked without replacement from jjjjcjjjjjcjjjjjjj. What is prob of sequence cjjc?
1/153
Four letters picked without replacement from ffffffffsssfsf. Give prob of sequence ssfs.
10/1001
Two letters picked without replacement from {j: 2, z: 2, l: 4}. Give prob of sequence lj.
1/7
What is prob of sequence hfzf when four letters picked without replacement from dzfhzdfdfdfzf?
1/286
Three letters picked without replacement from ttcscscssfiisyssc. What is prob of sequence scc?
7/340
Two letters picked without replacement from {k: 1, e: 5, n: 3, m: 1, i: 2, o: 1}. Give prob of sequence ke.
5/156
Three letters picked without replacement from cnnncnccnncnncccnnc. What is prob of sequence cnn?
45/323
Three letters picked without replacement from dtdtddttttt. What is prob of sequence dtd?
14/165
What is prob of sequence iou when three letters picked without replacement from giiggigauogiigogg?
1/408
Two letters picked without replacement from fjj. What is prob of sequence fj?
1/3
Calculate prob of sequence rur when three letters picked without replacement from {r: 5, u: 3, m: 1}.
5/42
Three letters picked without replacement from {m: 4, b: 2, r: 8, z: 3}. Give prob of sequence brb.
1/255
Calculate prob of sequence zncg when four letters picked without replacement from ngcnnnnnczg.
1/330
Calculate prob of sequence ccc when three letters picked without replacement from {h: 7, c: 6}.
10/143
Three letters picked without replacement from ejueeja. Give prob of sequence eau.
1/70
Calculate prob of sequence xx when two letters picked without replacement from iuiqqxux.
1/28
Four letters picked without replacement from {g: 4, y: 15}. Give prob of sequence ygyy.
455/3876
Two letters picked without replacement from clcl. What is prob of sequence cl?
1/3
Calculate prob of sequence jjfm when four letters picked without replacement from ejemejfefeoemmeefmf.
1/2907
What is prob of sequence za when two letters picked without replacement from {s: 2, j: 1, a: 1, x: 2, z: 1}?
1/42
Calculate prob of sequence pr when two letters picked without replacement from rpnccvdd.
1/56
Calculate prob of sequence cj when two letters picked without replacement from {j: 3, b: 2, m: 1, g: 2, o: 2, c: 2}.
1/22
Calculate prob of sequence ymv when three letters picked without replacement from ymvnhrr.
1/210
Four letters picked without replacement from {a: 5, o: 4, i: 1, g: 4, s: 1, m: 4}. Give prob of sequence moga.
10/2907
Four letters picked without replacement from {i: 4, l: 4, z: 3, s: 1, x: 1}. Give prob of sequence ills.
2/715
Four letters picked without replacement from ululluuuulluuluuuuu. What is prob of sequence ullu?
65/1292
Four letters picked without replacement from {w: 1, u: 2, v: 2, n: 1, i: 1}. What is prob of sequence vunu?
1/210
What is prob of sequence qzqh when four letters picked without replacement from hqhqqqazkk?
1/210
Four letters picked without replacement from wwllwwwwwwwwwwwlww. Give prob of sequence llww.
7/408
What is prob of sequence appa when four letters picked without replacement from {c: 3, a: 3, m: 3, p: 5, g: 4}?
1/612
What is prob of sequence pn when two letters picked without replacement from zyyypjnzqpypzyypyqyp?
1/76
Two letters picked without replacement from {t: 12, m: 5, a: 2}. What is prob of sequence ta?
4/57
Three letters picked without replacement from jjjrvrgjjgarjrrrja. What is prob of sequence aja?
7/2448
Calculate prob of sequence wwck when four letters picked without replacement from {u: 1, c: 1, k: 1, w: 2, o: 2}.
1/420
Two letters picked without replacement from {y: 7, w: 3, p: 4}. What is prob of sequence yw?
3/26
Three letters picked without replacement from {j: 8, g: 1, a: 7, p: 4}. What is prob of sequence gap?
7/1710
Three letters picked without replacement from {r: 3}. What is prob of sequence rrr?
1
Four letters picked without replacement from {c: 2, e: 2, k: 3, z: 6}. What is prob of sequence cekk?
1/715
Calculate prob of sequence kf when two letters picked without replacement from bklfppli.
1/56
Calculate prob of sequence ono when three letters picked without replacement from nddooqaa.
1/168
What is prob of sequence qnt when three letters picked without replacement from nnqvvkkqtnqnkunkkv?
5/1632
What is prob of sequence uv when two letters picked without replacement from gurxukkvkrrrxgrrxr?
1/153
Two letters picked without replacement from {u: 2, p: 2, x: 1, t: 1}. Give prob of sequence ut.
1/15
Calculate prob of sequence cc when two letters picked without replacement from kz
|
{
"pile_set_name": "DM Mathematics"
}
|
331)))*6.
-66*sqrt(11) - 6
Simplify (6*((sqrt(51)/(-1*sqrt(3)) - sqrt(17))*-6 - (sqrt(102)/sqrt(24) + sqrt(68) + -2)))**2.
1368*sqrt(17) + 55377
Simplify 1 + (sqrt(156)/(sqrt(12) + sqrt(108)*3)*3)**2*-1.
-17/100
Simplify (sqrt(500)*-2)/(sqrt(4) + (sqrt(768)/sqrt(12) - sqrt(4)) - sqrt(4)).
-10*sqrt(5)/3
Simplify (sqrt(32)/(sqrt(28)/sqrt(343)))/((sqrt(72) - sqrt(72)*4)/sqrt(2)).
-7*sqrt(2)/9
Simplify (((sqrt(143) - sqrt(143)*-2)*5)/(2*sqrt(44)))**2.
2925/16
Simplify (-3 + (1*((-2 + sqrt(363))**2 - sqrt(363)) - sqrt(363) - sqrt(363)))*-3 + -2.
-1094 + 231*sqrt(3)
Simplify (sqrt(112) - (1*(2 + sqrt(112)) - sqrt(112)))*2 + -3.
-7 + 8*sqrt(7)
Simplify -1*(sqrt(208) - 4*(0 + sqrt(208)))**2 + -4 + (-2*sqrt(208) - sqrt(208))**2 + 5.
1
Simplify (-2*sqrt(544))/(sqrt(2) + (sqrt(16) + sqrt(80)/sqrt(5))/sqrt(8) + sqrt(2)).
-2*sqrt(17)
Simplify ((5 + (sqrt(216)/sqrt(9)*-1)/sqrt(8) + 1)*-6)**2.
-432*sqrt(3) + 1404
Simplify ((((sqrt(26)/sqrt(2) - sqrt(13)) + 4)**2 - 1*(sqrt(13) - sqrt(13)*2)) + 4)*1.
sqrt(13) + 20
Simplify (((sqrt(396) + (sqrt(396) - (-1 + sqrt(396))))*-4)**2 + 1)*5 + -3.
960*sqrt(11) + 31762
Simplify (3 + sqrt(2057) + 3)**2 - (sqrt(1224)*-3 - sqrt(1224))/sqrt(2).
156*sqrt(17) + 2093
Simplify (5*(sqrt(448) + 1) - ((-2*(sqrt(63) - sqrt(252)) - sqrt(63)) + sqrt(63))/sqrt(9))**2.
380*sqrt(7) + 10133
Simplify sqrt(85)/(4*sqrt(15)/sqrt(3)) + -4 + 2 + ((-2*sqrt(102)*-1 - sqrt(102)) + sqrt(102))/sqrt(6).
-2 + 9*sqrt(17)/4
Simplify ((sqrt(48)/sqrt(6)*-2)/(1*(sqrt(4) - 1*sqrt(4)) + sqrt(4)))**2.
8
Simplify 4*(sqrt(144) - 4*sqrt(144))/(sqrt(588)*-3).
8*sqrt(3)/7
Simplify 2*(-6*sqrt(117) + -2 - sqrt(117) - (2*sqrt(117)*-3 + sqrt(117)))**2.
48*sqrt(13) + 944
Simplify (sqrt(896) + sqrt(896)*-5)/sqrt(2) - (sqrt(315)/sqrt(5)*-3)/sqrt(9).
-29*sqrt(7)
Simplify (4*(sqrt(150) + (1*sqrt(150) - sqrt(150))))/(1*sqrt(72)*6).
5*sqrt(3)/9
Simplify (0 + (3 + sqrt(1584)*2 - 5*(0 + sqrt(1584))) + -3)**2 + 5.
14261
Simplify -1*(0 + sqrt(11) + -3 - (-2*sqrt(11) + -2) - (5 + (sqrt(44) + 1)**2)).
sqrt(11) + 51
Simplify (2*sqrt(650)*-3)/(sqrt(6)/(sqrt(3) - -2*sqrt(300))).
-630*sqrt(13)
Simplify (((sqrt(95) + sqrt(95)*-1)*4 + (sqrt(95) + (-4*(-1*sqrt(95) + sqrt(95)) - sqrt(95)) + sqrt(95) - sqrt(95)))/(-1*sqrt(405)*-5 + sqrt(405)))**2.
0
Simplify (1 + 3 + sqrt(684) + -2 + 5)**2.
84*sqrt(19) + 733
Simplify (((sqrt(11) - (-2*sqrt(11) + 2)) + 1*sqrt(44) - sqrt(66)/(-5*(sqrt(6) - (sqrt(6) - sqrt(30)/sqrt(5)))))*-4)**2.
-1664*sqrt(11)/5 + 120576/25
Simplify (sqrt(16) + (sqrt(128)*-2)/sqrt(8))/(sqrt(8)*4*3 + sqrt(8)).
-sqrt(2)/13
Simplify ((-5*-2*sqrt(78) - (sqrt(78) + ((1*sqrt(78) - sqrt(78)) + sqrt(78))*6))/(sqrt(294) + sqrt(294)*2*1))**2.
13/49
Simplify (0 + (sqrt(2) - sqrt(22)/(-2*sqrt(11)))*-2 + -5)*-6.
18*sqrt(2) + 30
Simplify ((sqrt(136) - 3*sqrt(136))*1)/sqrt(8) - ((sqrt(17) + sqrt(102)/(sqrt(6)*-1 + sqrt(6) + sqrt(6)))**2 + -2).
-66 - 2*sqrt(17)
Simplify -6*-5*(sqrt(1573)*-2 + (-4 + sqrt(52)/sqrt(4))**2) + 2.
-900*sqrt(13) + 872
Simplify (0 + 0 + sqrt(80))*5 + 1*(sqrt(80) + -2)*2.
-4 + 28*sqrt(5)
Simplify 4 + (sqrt(209)/(sqrt(22)/sqrt(2)))**2 - ((0 + sqrt(76))*-2)**2.
-281
Simplify 0 + (-3*2*sqrt(1210)/sqrt(2))**2.
21780
Simplify ((-6*(sqrt(99) + sqrt(99) + sqrt(99)*-1))**2 - (sqrt(99) - 3*sqrt(99)*-1)) + -5.
-12*sqrt(11) + 3559
Simplify sqrt(9)/(sqrt(9)/sqrt(3)) + ((sqrt(9)/sqrt(3) + sqrt(3) + 3 - sqrt(3)) + sqrt(3))**2 - (2 + sqrt(3)*-2)*-5.
3*sqrt(3) + 31
Simplify -4*(sqrt(220)/(sqrt(99)/sqrt(9)))/(sqrt(640) + -4*sqrt(640) + sqrt(640))*2.
sqrt(2)/2
Simplify (2 + -5 + -6*(sqrt(128) + 0))**2 + 3.
288*sqrt(2) + 4620
Simplify 3 + -4*((1 + sqrt(245))**2 + ((sqrt(135)/sqrt(3) + sqrt(45))/sqrt(9))**2 + -3*(-1*sqrt(605))**2).
-56*sqrt(5) + 6199
Simplify 0 + -6*(-2 + ((sqrt(4400)*-2)**2 - sqrt(484)/(sqrt(22)/sqrt(2)))).
-105588 + 12*sqrt(11)
Simplify ((sqrt(38) + (sqrt(190)*2)/sqrt(5) - sqrt(38))*3)/((sqrt(98) + -1*sqrt(98))*-3 + sqrt(98) + sqrt(98)).
3*sqrt(19)/7
Simplify (((6*sqrt(78)*-2 + sqrt(78) - sqrt(78)) + sqrt(78) + sqrt(78))*-2)/((3*sqrt(288)/sqrt(6))/sqrt(8)).
20*sqrt(13)/3
Simplify -2*(sqrt(980)/sqrt(4) + (-3 + sqrt(20))**2).
-58 + 10*sqrt(5)
Simplify 4 + sqrt(133)/(sqrt(7)*-3) + sqrt(19) + ((sqrt(152)*-1)/sqrt(8) + sqrt(19) + sqrt(19))**2 + (sqrt(19) + 1 + -3)**2.
-10*sqrt(19)/3 + 46
Simplify 2*((0 + sqrt(125))*6 + -2 + 2*sqrt(125) - (5 + -1 + sqrt(125) + sqrt(125) + 3 + sqrt(125) + 1))**2.
-1000*sqrt(5) + 6450
Simplify (-4*(sqrt(63) + 3*sqrt(9072) + sqrt(63) - sqrt(63))/(1*(
|
{
"pile_set_name": "DM Mathematics"
}
|
t the terms in -3523 - 10*f**2 + 14111 - 3527 - 3541 - 3522.
-10*f**2 - 2
Collect the terms in -73*c**2 - 45*c**2 + 6158*c - 6155*c - 7 + 7.
-118*c**2 + 3*c
Collect the terms in -40021*t**2 - 281478*t**2 + 277*t - 277*t.
-321499*t**2
Collect the terms in -5*w + 27150600 + 3*w**2 - 27150600 + 5*w.
3*w**2
Collect the terms in 294724*h**3 + 294727*h**3 + 294731*h**3 - 884221*h**3.
-39*h**3
Collect the terms in -86716*d**2 + 45490*d**2 + 43031*d**2.
1805*d**2
Collect the terms in 3*m + 52831 - 10905*m**3 - 3*m - 52831.
-10905*m**3
Collect the terms in 91835026*r + 4*r**3 - 91835026*r.
4*r**3
Collect the terms in -1426*l**2 - 2266*l**2 + 650*l**2 - 1313*l**2.
-4355*l**2
Collect the terms in -1013*i**2 + 37*i - 17*i - 173*i**3 - 21*i + 1013*i**2.
-173*i**3 - i
Collect the terms in -1005*h - 846*h + 160*h - 316*h.
-2007*h
Collect the terms in -13156*l + 42373*l - 12545*l - 12205*l.
4467*l
Collect the terms in 7813*w - 2 + 7801*w - 15664*w.
-50*w - 2
Collect the terms in 692*c - 94*c**2 + 328*c**2 + 180*c**2 - 1370*c + 678*c.
414*c**2
Collect the terms in -5*w**2 - 219694*w**3 + 55256*w**3 + 5*w**2.
-164438*w**3
Collect the terms in -21 - 319403*s + 65 - 19 - 25.
-319403*s
Collect the terms in -77*t**2 - 109*t**2 - 3 + 95*t**2 + 3.
-91*t**2
Collect the terms in -4*z + 2704 + 3*z - 920 - 862 - 922 + 0*z.
-z
Collect the terms in -5 + 2273*k + 5833*k - 2.
8106*k - 7
Collect the terms in 26*m**3 + 10*m - 7*m**2 + 30*m**3 - 17*m**3 + 8*m**2 - 357.
39*m**3 + m**2 + 10*m - 357
Collect the terms in -4 + 233210*v + 31285*v + 4.
264495*v
Collect the terms in -2*x**2 - 1127*x**3 + 1593*x**3 + x**2 + 3*x**2 - 5710*x**3.
-5244*x**3 + 2*x**2
Collect the terms in 15955*b**2 + 15994*b**2 + 15988*b**2 + 15976*b**2 - 63891*b**2.
22*b**2
Collect the terms in 2668*x**3 + 78*x**2 + 551*x**3 - 287*x**2.
3219*x**3 - 209*x**2
Collect the terms in -43151*c**2 + 73824*c**2 + 277713*c**2 - 23769*c**2.
284617*c**2
Collect the terms in -2612 - 9813*k + 2612.
-9813*k
Collect the terms in 788467 + 16207*p - 16240*p - 788467.
-33*p
Collect the terms in -101839*j + 101839*j + 9154*j**3 + 4983*j**3.
14137*j**3
Collect the terms in 41*h + 1045*h + 2545*h + 285*h + 1922*h + 737*h.
6575*h
Collect the terms in -5 - 3 - 28657284*y + 28657273*y.
-11*y - 8
Collect the terms in 2611288*g**2 + 1119065*g**2 - 70882*g**2.
3659471*g**2
Collect the terms in -2*y + 12998 - 2*y**3 - 12998 + 10761*y**2 - 1698*y**2.
-2*y**3 + 9063*y**2 - 2*y
Collect the terms in 4248 + 237*p - 1985 + 264*p + 92*p - 2264.
593*p - 1
Collect the terms in -62288 - 62286 + 2*t + 124597.
2*t + 23
Collect the terms in 2071 + 2368 - 182*n**3 + 2070 - 8577 + 2068.
-182*n**3
Collect the terms in -4041 + 1029 + v - 2747.
v - 5759
Collect the terms in -651*t - 751*t - 666*t + 2074*t.
6*t
Collect the terms in -4 + 4 - 1489601*b + 744797*b + 744799*b.
-5*b
Collect the terms in -12*s + 287*s**2 + 12*s - 263*s**2 - 31*s**2.
-7*s**2
Collect the terms in -20*u + 18*u + 275597*u**2 - 275765*u**2.
-168*u**2 - 2*u
Collect the terms in 2964 + 27*t**2 + 2935 - 5934.
27*t**2 - 35
Collect the terms in -542 + 2394*n + 1069 - 527.
2394*n
Collect the terms in 1514*y**2 + 683*y**2 + 2107*y**2 - 630*y**2.
3674*y**2
Collect the terms in 94*d**3 + 83*d**3 + 107*d**3 - 254*d**3 + 95*d**3 - 131*d**3.
-6*d**3
Collect the terms in -2*u + u + 2318 - 2163.
-u + 155
Collect the terms in 94617 + 506*j**2 - 157*j**2 - 94617.
349*j**2
Collect the terms in 350*t - 1403*t + 1057*t - 16.
4*t - 16
Collect the terms in -3337 + 1646 + 1691 - 806*z**3.
-806*z**3
Collect the terms in -1174*h**2 + 891*h**2 + 237*h**2.
-46*h**2
Collect the terms in 2*f - 900*f**2 - 3*f + 460 - 914 + 452 + 228*f**2.
-672*f**2 - f - 2
Collect the terms in -r**2 - 3858*r + 1114*r + 2744*r - 1.
-r**2 - 1
Collect the terms in 27260*q - 52181*q + 29157*q.
4236*q
Collect the terms in 3*x + 11*x**3 + x - 73*x**3 + 273 - 4*x.
-62*x**3 + 273
Collect the terms in -248295*f**3 + 494011*f**3 - 245703*f**3.
13*f**3
Collect the terms in 1 - 4 + 3 - 24045*d - 24179*d + 48110*d.
-114*d
Collect the terms in -39*k**3 - 25*k**3 - 46*k**3 + 32*k**3 - 47*k**3 + 21*k**3.
-104*k**3
Collect the terms in 425*s**3 + 2*s**2 + 2*s - 113*s**3 + 378*s**3 - 4 + 442*s**3.
1132*s**3 + 2*s**2 + 2*s - 4
Collect the terms in 6705
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate the lowest common multiple of i(p) and 10.
10
Let b(f) = 12*f**2 + 8*f - 4. Let h be b(-3). Let o = h - 30. Calculate the least common multiple of 12 and o.
300
What is the lowest common multiple of 201 and 122/4 - (75/(-10) - -8)?
2010
Suppose -3*m + 18*m - 450 = 0. Calculate the least common multiple of 36 and m.
180
Suppose -2*t + 44 = -4*n, -7*n + 55 = 5*t - 6*n. What is the lowest common multiple of 4 and 27*(6/9)/(t/6)?
36
Calculate the common denominator of 79/66 and 5*34/(-154) - -1.
462
Let l = 21 - 21. Let f = -6 - l. Calculate the least common multiple of (-3)/f - 2/(-4) and 6.
6
What is the common denominator of 33633/2516 + 2/(-17) and (-2)/(-1 - 57/(-29))?
28
Let u be ((-11740)/(-1632) - -3) + (-3)/1. Let v = -124/51 - u. Find the common denominator of v and 35/22.
88
Let m(u) = -u**3 + 5*u**2 - 10*u + 14. Calculate the smallest common multiple of m(3) and 18.
18
Suppose -g - 8 = 3*g. Let z = 533/3 + -741/4. What is the common denominator of (1 - (-428)/160) + g and z?
120
Let j be (-102)/5 - (-6)/15. Let c = j + 28. Suppose -3*w - 6*n = -n - 25, 4*w - 12 = 4*n. What is the smallest common multiple of c and w?
40
Suppose -14 = -h - 2*r, 1 + 20 = 3*h - r. Let y = 52 - h. What is the lowest common multiple of 2 and y?
44
What is the least common multiple of 552 and (-4626)/(-105) + (-78)/1365?
6072
Let c = -9/41758 + 220367446/187911. Suppose g - q = -0*q + 1172, 4*g = -3*q + 4716. Let t = g - c. Calculate the common denominator of 1/4 and t.
36
Suppose 18 = -10*i - 72. Let h = 36 - i. Calculate the smallest common multiple of h and 3.
45
Let l(v) = 8*v + 6. Let r be l(-12). What is the common denominator of -25/18 and (-695)/r + -2 - -2?
18
Calculate the common denominator of -49/18 and (-127)/7*((-118)/(-12) - 11).
18
Let y be (-16)/24 + 107/3. Find the common denominator of 14/y - 48/(-10) and 27/11.
55
Let z(u) = 121*u**2 - 2*u + 1. Let o be z(1). Suppose o - 10 = 5*m. What is the smallest common multiple of 20/6*(-36)/(-10) and m?
132
Let y be (18/(-135))/((8/(-562))/(-2)). Let j = -7/5 - y. What is the common denominator of 10/21 and j?
21
Suppose 0 = 3*h - 2*h - 4. Let n(k) = -k**3 - 13*k**2 + k + 11. Let c be n(-13). Calculate the lowest common multiple of 1/(2 - c - 3) and h.
4
Let o = -133467/10 - -13338. Let r be 1 - 4 - (-1 - 1). Calculate the common denominator of o and r*(74/11)/(-2).
110
Suppose w - 4 + 11 = 0. Calculate the common denominator of 71/27 and w/(-28) + 127*1/132.
297
What is the common denominator of -8/349 and 18 + (-2295)/75 + (-1 - -1)?
1745
Let b be 1/((-6)/4)*57228/56. Let w = b - -679. Calculate the common denominator of w and -101/2.
14
Let l(p) = -23*p - 1. Suppose -3*k - 7 = 4*j, 4*k = 5*j - 1 + 2. Calculate the least common multiple of 10 and l(k).
110
Let b = -22 + 24. Let s be -4 + -2 + b + -1. Calculate the common denominator of (-86)/24 + (-2 - s) and 77/10.
60
What is the common denominator of 66/24 + -5 - 14/(-7) and -27/4?
4
Suppose -3*i - 2*i - 2*u = -37, 0 = -2*i - u + 15. Let k(q) = q**2 - 5*q + 6. Calculate the least common multiple of 16 and k(i).
80
Let g be 2/3 - 1190/(-15). What is the common denominator of ((-94)/18 - -5)*(-942)/g and -17/16?
240
Let s = -826 + 842. What is the least common multiple of 24 and s?
48
Suppose 5*a - 3*a = 1312. Let j = a - 2008/3. Calculate the common denominator of j and -50.
3
Let z = 4 - -10. Let t = z - 12. Find the common denominator of -101/2 and (12/(-240))/(t/86).
20
Suppose -5*h - 2*t = 14 - 3, -5*t - 2 = 4*h. Let p be (-4)/3*(270/(-4))/9. Let v = h + p. What is the lowest common multiple of v and 6?
42
Calculate the lowest common multiple of 20/(-14)*651/(-93) and 56.
280
Suppose 0 = 9*c + 5*c - 700. Calculate the smallest common multiple of 70 and c.
350
What is the common denominator of 133/60 and (-3 - 42/(-10))/((-64)/145)?
480
Let i = 1957/44 - 382/11. Find the common denominator of (-32)/6 + (-6)/(-2) and i.
12
Let q(o) = 2*o - 13. Let f = 15 + -1. Calculate the least common multiple of 3 and q(f).
15
Let m(g) = 2*g**3 + 33*g**2 + 13*g + 12. What is the smallest common multiple of m(-16) and 70?
420
Let z(k) = 1292*k - 3860. What is the least common multiple of (-2)/(-3) + (-706)/(-3) and z(3)?
944
Let j = 13281/37 - 33/74. Let c = j - 326. Find the common denominator of 89/12 and c.
12
Find the common denominator of (-148)/(-90) + (-2)/5 and -3 + (1 - -1 - 1112/96).
180
Suppose -2*a + 12 = 3*b, 4*b + 18 = 5*b - 4*a. What is the least common multiple of 4 and (0 + (-2 - -5))/(b/2)?
4
Let a = 1552/655 - 59917/24104. Calculate the common denominator of a and -85/2.
920
What is the common denominator of -1/56 and -5*1 - -10*24/(-800)?
280
Let r = 98317/14748 + 1/4916. Let x = 8387/2142 - 23/119. Calculate the common denominator of r and x.
18
Let o be 344/(-12) + (-10)/(-15). Calculate the least common multiple of 1 and (5/(10/o))/(-2).
7
Let k(b) = 2*b + 50. Calculate the least common multiple of k(-17) and 6.
48
Let v be 2/(-8) - 13/(-4). Calculate the lowest common multiple of 1/(183/60 - v) and 1/(-3) - (-39)/9.
20
Let k = -46 + 48. What is the common denominator of 1/10*(-115 + k) and ((-8)/5 - 1) + 0?
10
Let x be (1 - (-13347)/52)*(-11)/7557. Let n = 3/916 + x. What is the common denominator of n and 29/6?
78
What is the common denominator of 0 - 81/15 - -1 and (-22)/231 - 5837/4641?
85
Let n = -6/1645 + 116903/29610. Find the common denominator of n and 43/273.
1638
Let l = 793
|
{
"pile_set_name": "DM Mathematics"
}
|
ssuming y is positive.
y**(56/5)
Simplify u**(-10/9)*u/(u*u*u*u**4*u) assuming u is positive.
u**(-73/9)
Simplify ((w**2)**(1/4))**40 assuming w is positive.
w**20
Simplify (q**0)**(-17/4)/(q**(-3/2)/(q*q**(5/4))) assuming q is positive.
q**(15/4)
Simplify (r/(r/r**(-1)))/(r/((r**(-4)*r)/r*r))*(r**(1/4)/r*r)**(-2/49) assuming r is positive.
r**(-491/98)
Simplify l**2*l**(1/8)*((l*l*l*l/(l*l/l**(2/3))*l*l)/l)**42 assuming l is positive.
l**(1249/8)
Simplify ((d*d*(d*d**3)/d)/d*d)/(d*d/(d**(25/4)*d)) assuming d is positive.
d**(41/4)
Simplify (w**(-5))**18 assuming w is positive.
w**(-90)
Simplify (w/((w*w**3)/w)*w)**(4/15) assuming w is positive.
w**(-4/15)
Simplify (z**(5/4))**(-21) assuming z is positive.
z**(-105/4)
Simplify ((w*w/(w**8/w))**30)**(-38) assuming w is positive.
w**5700
Simplify (v**0)**9*(v/(v**(-1/2)/v)*v)**25 assuming v is positive.
v**(175/2)
Simplify ((p/p**(2/13))/p*p*p/(p/p**(-4)))**(-1/8) assuming p is positive.
p**(41/104)
Simplify ((b/b**(-4/7))/b)/(b*b/b**(15/2)) assuming b is positive.
b**(85/14)
Simplify (w**(-4)*w/(w**6/w))/(w**(2/3)*w**(-1)/w) assuming w is positive.
w**(-20/3)
Simplify (y**(7/2))**(-38) assuming y is positive.
y**(-133)
Simplify x*((x/x**8)/x)/x*x*x*x*x**(-2/31) assuming x is positive.
x**(-157/31)
Simplify ((o*(o*o*o**(2/29)*o)/o*o)/o)/(o/(o*o*o*o*o**(3/4)*o*o)) assuming o is positive.
o**(1023/116)
Simplify (j*j*j/(j*j/j**(-20)))/j*j*j**19*j assuming j is positive.
j
Simplify (q/((q**(-1)/q)/q*q*q))**48*(q**2)**(-14/9) assuming q is positive.
q**(836/9)
Simplify (u/u**2*u)**(-7/6) assuming u is positive.
1
Simplify (a**(-1/4)*a**0)/((a/((a**2*a)/a*a))/((a**2*a)/a)) assuming a is positive.
a**(15/4)
Simplify (o**(-1/4))**(-3/5)*(o/o**(-1))**49 assuming o is positive.
o**(1963/20)
Simplify (i*i**25*i*i*i)/i*i**(-1/3) assuming i is positive.
i**(83/3)
Simplify ((k**6*k)**17)**(7/10) assuming k is positive.
k**(833/10)
Simplify j/(j/j**(14/3))*j*j**(-17)/j assuming j is positive.
j**(-37/3)
Simplify l**(1/8)/l**1*((l*l**(-1))/l)/l**(-2/19) assuming l is positive.
l**(-269/152)
Simplify (c**4*c)/(c**(-21)*c) assuming c is positive.
c**25
Simplify d**13/(((d/(d**(2/35)/d))/d)/d) assuming d is positive.
d**(457/35)
Simplify ((t/((t*t*t**(1/2)*t)/t))/t)**(-1)/(t**(2/13)*t**(-3/7)*t) assuming t is positive.
t**(323/182)
Simplify x**1*(x*x*x**(2/5))/x*x/(x**5/x)*x**(-3/7) assuming x is positive.
x**(-36/35)
Simplify (t**2)**(-18)*t*t**(2/17)*t/(t*t/((t*t**(-3/4))/t)*t) assuming t is positive.
t**(-2559/68)
Simplify (b**(-4)/b**(7/6))/(b*b**(-1/2)*b**(-7)/b) assuming b is positive.
b**(7/3)
Simplify (z/z**6*z**5)/(z**(1/5)*z*z/z**(-9)) assuming z is positive.
z**(-56/5)
Simplify w**(2/9)*w*w**(5/4) assuming w is positive.
w**(89/36)
Simplify y*(y**4/y)/y*y*y*y*((y**(-1/8)*y*y)/y)/y*(y**(1/4))**1 assuming y is positive.
y**(49/8)
Simplify (c*c**0/c*c*c)**9*(c**(1/3))**(-32) assuming c is positive.
c**(22/3)
Simplify (s/(s**29/s))**21 assuming s is positive.
s**(-567)
Simplify (m**2)**(-42)/(m**(-2)/m)**12 assuming m is positive.
m**(-48)
Simplify l**(-15)/l*l*l**(-27) assuming l is positive.
l**(-42)
Simplify (b**4*b**(2/13)/b)/((b**0*b)/(b*b**0/b)) assuming b is positive.
b**(28/13)
Simplify ((v/(v**(-3/8)/v))/(v**(-7)*v))**(-42) assuming v is positive.
v**(-1407/4)
Simplify s/s**(-1/10)*s*s**(10/7) assuming s is positive.
s**(247/70)
Simplify ((k*k**(1/9))/k**(-4))/(k/((k*k*k**(3/2)*k)/k)*k/(k/(k**(-1)/k)*k)) assuming k is positive.
k**(191/18)
Simplify ((y*(y/y**1)/y)**(2/33))**(-19/4) assuming y is positive.
1
Simplify (((n*n**(-12))/n*n)/n)/n*n/((n/(n**27/n))/n) assuming n is positive.
n**14
Simplify ((q*q/q**(-3))/q**1)**(-4/21) assuming q is positive.
q**(-16/21)
Simplify (f/(f/(f*f**2)))/f*f**(-1/2)*(f**(2/9))**(2/11) assuming f is positive.
f**(305/198)
Simplify s/(s/(s*s/s**3*s))*s*(s**(1/12)*s)/s assuming s is positive.
s**(13/12)
Simplify w*w**1*w*w/(w*w*((w*w*w**(2/3))/w)/w*w*w)*w**(-1/2)*w*w**(1/5) assuming w is positive.
w**(1/30)
Simplify (k**(-5)*k*k/k**(-3/4)*k)/(k/(k**(-2)*k))**(10/3) assuming k is positive.
k**(-95/12)
Simplify z**(-3/2)/z**(1/11) assuming z is positive.
z**(-35/22)
Simplify y**(1/21)*y**(-4/11) assuming y is positive.
y**(-73/231)
Simplify z/(z*z*(z/(z/(z/(z*z*z*z**6/z*z*z*z)*z)))/z*z)*(z/(z/((z**1*z*z)/z)))/z*z assuming z is positive.
z**10
Simplify ((i*i**10*i*i)/i**0)/((i**(-10/7)*i)/(i/i**(-1/3)*i*i)) assuming i is positive.
i**(352/21)
Simplify (a**(-1/11))**(27/4) assuming a is positive.
a**(-27/44)
Simplify (w*w/w**(-15))/((w*(w*w/w**(-2/15))/w)/w) assuming w is positive.
|
{
"pile_set_name": "DM Mathematics"
}
|
hout replacement from adlkwlak. Give prob of picking 1 l, 1 d, and 2 k.
1/35
What is prob of picking 1 q and 1 u when two letters picked without replacement from eorunqqo?
1/14
Three letters picked without replacement from {q: 1, i: 1, a: 1, m: 1, t: 2, j: 1}. Give prob of picking 1 j, 1 i, and 1 t.
2/35
What is prob of picking 3 i when three letters picked without replacement from iiqiifiiifiq?
14/55
What is prob of picking 1 o and 1 u when two letters picked without replacement from robuou?
4/15
Calculate prob of picking 1 q, 1 k, and 1 h when three letters picked without replacement from {c: 2, k: 2, h: 1, v: 1, y: 1, q: 1}.
1/28
Calculate prob of picking 2 i when two letters picked without replacement from {l: 15, i: 5}.
1/19
What is prob of picking 1 r and 1 b when two letters picked without replacement from efbbfrbbabf?
1/11
Two letters picked without replacement from {k: 2, z: 1, b: 2, u: 3, i: 3, d: 3}. Give prob of picking 1 i and 1 z.
3/91
Two letters picked without replacement from tpszpz. Give prob of picking 1 s and 1 z.
2/15
What is prob of picking 2 p when two letters picked without replacement from {z: 1, p: 3}?
1/2
Three letters picked without replacement from hzzzzehlhehhhzxx. What is prob of picking 1 x and 2 h?
3/56
Two letters picked without replacement from {s: 4, w: 3, t: 7}. What is prob of picking 1 t and 1 w?
3/13
Four letters picked without replacement from vxxxxvvxxvvzxzvxvzx. What is prob of picking 4 x?
21/646
Two letters picked without replacement from muumuuuuuiummi. What is prob of picking 2 m?
6/91
Calculate prob of picking 1 y and 3 l when four letters picked without replacement from yllylylyly.
5/21
Calculate prob of picking 2 w when two letters picked without replacement from hhhhhhww.
1/28
Three letters picked without replacement from mzdmjmukuududkm. What is prob of picking 2 d and 1 u?
12/455
Two letters picked without replacement from {r: 1, n: 1, b: 2, y: 1, k: 4}. What is prob of picking 1 k and 1 r?
1/9
Two letters picked without replacement from {i: 15, w: 3}. What is prob of picking 1 w and 1 i?
5/17
Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {s: 2, n: 1, i: 1, h: 1}.
1/5
Four letters picked without replacement from {h: 12, q: 7}. Give prob of picking 4 q.
35/3876
What is prob of picking 1 g, 1 x, and 2 j when four letters picked without replacement from yyxujjxyjyxyxyuygfjg?
16/1615
Three letters picked without replacement from {f: 2, g: 3, s: 2, w: 2, k: 6}. Give prob of picking 1 s, 1 k, and 1 g.
36/455
Three letters picked without replacement from {d: 3, w: 2, u: 3, m: 6, c: 2, z: 2}. What is prob of picking 2 d and 1 c?
1/136
Three letters picked without replacement from {i: 11, q: 2, g: 1, o: 2}. What is prob of picking 2 q and 1 o?
1/280
Three letters picked without replacement from jkvzmff. What is prob of picking 1 j, 1 f, and 1 z?
2/35
What is prob of picking 2 w and 2 j when four letters picked without replacement from bbbbbjwbbwjbbjjbbjb?
5/1938
What is prob of picking 1 a, 1 o, and 1 x when three letters picked without replacement from {s: 4, o: 3, x: 7, i: 2, a: 3}?
21/323
Three letters picked without replacement from nnepnnnnwwnlneepnnn. What is prob of picking 2 e and 1 n?
11/323
What is prob of picking 1 v and 1 e when two letters picked without replacement from qqqvvqevdtteee?
12/91
Four letters picked without replacement from {m: 1, c: 7, o: 2, j: 2, a: 1, i: 2}. What is prob of picking 2 j, 1 a, and 1 m?
1/1365
What is prob of picking 1 v and 1 d when two letters picked without replacement from zddgzxzdgkxdvvx?
8/105
Two letters picked without replacement from {v: 1, e: 1, c: 1, d: 1, o: 2, k: 1}. Give prob of picking 2 o.
1/21
Calculate prob of picking 3 c and 1 f when four letters picked without replacement from {c: 5, f: 8}.
16/143
Four letters picked without replacement from oxrokhhhorog. What is prob of picking 2 h and 2 o?
2/55
Three letters picked without replacement from kqdktqddekkqkdm. Give prob of picking 2 d and 1 m.
6/455
Three letters picked without replacement from xttxtxttxt. Give prob of picking 2 t and 1 x.
1/2
Calculate prob of picking 2 w and 1 q when three letters picked without replacement from {w: 3, q: 2}.
3/5
Two letters picked without replacement from eohheohoheoh. Give prob of picking 2 o.
1/11
Two letters picked without replacement from {f: 1, p: 2}. Give prob of picking 1 p and 1 f.
2/3
Calculate prob of picking 1 p, 1 i, 1 w, and 1 a when four letters picked without replacement from {a: 1, i: 1, f: 1, p: 1, w: 1}.
1/5
What is prob of picking 1 s and 1 x when two letters picked without replacement from {f: 3, x: 2, a: 4, s: 2, l: 1}?
2/33
Three letters picked without replacement from kkkkkwjwnrxjnnjwj. Give prob of picking 1 x and 2 w.
3/680
What is prob of picking 1 i and 1 f when two letters picked without replacement from ffiiiiiiii?
16/45
Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {r: 1, t: 1, s: 1, h: 1, e: 1}.
1/10
Calculate prob of picking 2 l when two letters picked without replacement from {l: 7, q: 3, y: 2}.
7/22
Calculate prob of picking 3 y when three letters picked without replacement from {b: 1, v: 3, y: 5}.
5/42
Four letters picked without replacement from cppucuppuuupupp. Give prob of picking 1 u and 3 p.
2/13
Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, n: 3, q: 6, s: 5, i: 1}.
1/51
Four letters picked without replacement from amddaamdd. Give prob of picking 1 a, 2 d, and 1 m.
2/7
Calculate prob of picking 1 l and 1 m when two letters picked without replacement from rrrqlrmlmlmmrmlll.
15/68
Three letters picked without replacement from ryjuuuuju. Give prob of picking 3 u.
5/42
What is prob of picking 1 j and 1 f when two letters picked without replacement from {j: 6, o: 5, f: 2}?
2/13
Three letters picked without replacement from lljljjl. Give prob of picking 3 l.
4/35
What is prob of picking 1 m and 2 d when three letters picked without replacement from {m: 3, j: 1, d: 4, h: 3}?
6/55
What is prob of picking 1 f and 3 r when four letters picked without replacement from {r: 4, f: 1, v: 5}?
2/105
Three letters picked without replacement from {e: 3, a: 3}. What is prob of picking 2 a and 1 e?
9/20
What is prob of picking 1 c and 2 l when three letters picked without replacement from {l: 15, c: 3}?
105/272
What is prob of picking 1 w, 1 r, 1 b, and 1 g when four letters picked without replacement from {b: 2, p: 7, g: 1, r: 2, w: 1
|
{
"pile_set_name": "DM Mathematics"
}
|
6*z*z*z assuming z is positive.
z**(199/28)
Simplify ((h/(h**(2/3)*h))**(-22))**(2/71) assuming h is positive.
h**(88/213)
Simplify (x*x/((x*x**(-3))/x))**28 assuming x is positive.
x**140
Simplify (d**0/d)**43*(d*d**(3/2)*d)/((d/(d/(d/(d*d**(2/29))*d*d)))/d) assuming d is positive.
d**(-2345/58)
Simplify (n/n**(-1))**16/((n*n/(n*n**(-2/9)))/n)**(-6) assuming n is positive.
n**(100/3)
Simplify ((y*y**4)/y)/(((y*y**(-2/17)*y)/y)/y)*(y*y/(y/(y**2/y)*y)*y*y)**(-16) assuming y is positive.
y**(-746/17)
Simplify (((b/(b/((b/(b*((b*b**(2/7))/b)/b*b)*b)/b)))/b)**(6/19))**(-1/43) assuming b is positive.
b**(54/5719)
Simplify o*((o**(2/17)*o)/o)/o*o**(-2/23) assuming o is positive.
o**(12/391)
Simplify s**(-1/2)*s/(s*s/s**(-1/9)*s)*s/((s/(s*s**(-3/5)))/s)*s*s*s**(-1/4) assuming s is positive.
s**(97/180)
Simplify ((u/(u*u**(5/2))*u)/u*u/(u/(u*u**(6/13)/u*u*u)))/(u*u*u**9*u*u**(5/4)*u) assuming u is positive.
u**(-743/52)
Simplify (r**(2/7)*r)**(2/5)*(r**(-6)*r)/r**0 assuming r is positive.
r**(-157/35)
Simplify (o/o**(3/2))**36 assuming o is positive.
o**(-18)
Simplify b**(10/3)*(b*b*b**(14/3))/b assuming b is positive.
b**9
Simplify (a*a*a*a**(-4/9)*a*a*a)**50 assuming a is positive.
a**(2500/9)
Simplify (s**(4/5)/(s/s**(-3/5)))/((s*(s**(-3/4)*s)/s)/s*s**0) assuming s is positive.
s**(-1/20)
Simplify (h**19)**(-22) assuming h is positive.
h**(-418)
Simplify (i**(1/5)/(i*i*i**(-3/2)))/(i*i**(1/2)*i/i**0) assuming i is positive.
i**(-14/5)
Simplify (y**23)**(-6/11) assuming y is positive.
y**(-138/11)
Simplify (r**(-3/2))**(-5) assuming r is positive.
r**(15/2)
Simplify (((o/(o/o**(3/5)))/o)/o)**(2/11) assuming o is positive.
o**(-14/55)
Simplify (u**(-8)*u/u**(2/3)*u)/(u**5/((((u/((u/(u*u**(-6)*u))/u))/u)/u)/u)) assuming u is positive.
u**(-53/3)
Simplify (f**(3/2)/((f*f**(-7))/f))/((f**(-2/7)/f)/(f/f**6)) assuming f is positive.
f**(67/14)
Simplify (s**(2/5))**(-2/29) assuming s is positive.
s**(-4/145)
Simplify (w*w*w**(-2))**(9/8)/((w*w*w*w*w*w**(2/33)/w)/w*w/w**(-4/9)) assuming w is positive.
w**(-446/99)
Simplify ((q*q**(-1/7))/q)/(((q/q**(1/10))/q)/q)*q**(2/21)/q**(-1/2) assuming q is positive.
q**(163/105)
Simplify (h**(4/7))**(-3/14) assuming h is positive.
h**(-6/49)
Simplify ((f**0/f)**(22/7))**(4/3) assuming f is positive.
f**(-88/21)
Simplify ((l/l**(-3/4))/l)/l**(4/3)*(l/(l*l**(-1/6)))/l*l*l*l*l**(3/2) assuming l is positive.
l**(37/12)
Simplify (y/((y*y/y**(-9))/y*y))/(y/(y/y**(-3/5)*y)) assuming y is positive.
y**(-42/5)
Simplify i**(-4/7)/((i/(i/i**(-12)))/i) assuming i is positive.
i**(87/7)
Simplify z**(1/7)/z**(4/9) assuming z is positive.
z**(-19/63)
Simplify t*t/(t*t**(2/29)*t)*t*t*t/t**(-27) assuming t is positive.
t**(868/29)
Simplify t**(1/5)/t**(-4)*((t**(2/5)/t)/t)**(46/3) assuming t is positive.
t**(-61/3)
Simplify f/f**(-2)*f/(f/(f*f**(5/2)))*((f*((f/(f/(f**(-3)*f)*f))/f)/f*f)/f)/(((f/f**(-4)*f)/f)/f) assuming f is positive.
f**(-3/2)
Simplify (x**1/x)**(-11/7)*x**(-1/3)/x**(2/3) assuming x is positive.
1/x
Simplify (((z*z**(10/11))/z*z)/z**(-8))**(-2/43) assuming z is positive.
z**(-218/473)
Simplify h**(-6)/(h/h**(1/22)) assuming h is positive.
h**(-153/22)
Simplify r**(-2/5)*r*r**(-3)/r*(r*r/r**6*r)/(r/r**(-3)*r*r) assuming r is positive.
r**(-62/5)
Simplify i*i**(2/59)/i*i*i*i**(-1/7) assuming i is positive.
i**(781/413)
Simplify ((p**(-5))**38)**37 assuming p is positive.
p**(-7030)
Simplify (k/(k/(k/(k/k**3)))*k**(3/7))/((k/((k*k*k*k*k**(-4/7)*k*k)/k))/((k/(k**(-1)*k))/k)) assuming k is positive.
k**(48/7)
Simplify ((b*b*b**(1/15))/(b*(b*b/b**(5/6))/b))**0 assuming b is positive.
1
Simplify (u/(u**2*u)*u**(-3))/(u**(1/2))**46 assuming u is positive.
u**(-28)
Simplify p**22/((p**(-31)/p)/p) assuming p is positive.
p**55
Simplify (h**(2/7)*h*h*h/(h/((h/(h*h**(-1/3))*h*h)/h)))/(h**7*h**1) assuming h is positive.
h**(-92/21)
Simplify ((((h*h**(-2)*h*h)/h)/h)/(h/(h*h**(-4)*h)))/(h*h**(-3/5)*h**(3/5)) assuming h is positive.
h**(-5)
Simplify (w/(w*w/(w*w**17)*w*w*w*w*w*w*w)*(w/w**(6/7))/w)**(-39) assuming w is positive.
w**(-2496/7)
Simplify y**5/(y**3*y)*(y**(-1/2)*y)/(y**1*y) assuming y is positive.
1/sqrt(y)
Simplify ((q/(q**(-12)*q)*q)/q*q/((q*q/(q**8/q))/q))**(-22) assuming q is positive.
q**(-418)
Simplify h**21/(h/(h**(4/7)*h)) assuming h is positive.
h**(151/7)
Simplify (h/(h**0/h))/(((h**(-2)*h*h)/h)/h)*h*h/(h**(-5)/h*h)*h**6/h assuming h is positive.
h**16
Simplify (i**(-7/5)*i)/i**(-10)*(i/i**(-5))/i**(-4/3) assuming i is positive.
i**(254/15)
|
{
"pile_set_name": "DM Mathematics"
}
|
for w.
-4
Solve 0 = 5*w - 5*r - 25, -6*w - 5*r - 18 = -4*w for w.
1
Solve -5*w - 4*z - 36 = 0, w - 27*z - 4 = -25*z for w.
-4
Solve 0 = -4*t + 5*r - 25, 0 = 7*t - 12*t - 8*r + 40 for t.
0
Solve -4*l = -2*p - 6*l - 10, 0 = p + 4*l + 17 for p.
-1
Solve 10 = -t + 5, 3*t = 3*n - 3 for n.
-4
Solve -5*z = 2*f - 3 + 1, -3*z = -4*f + 4 for f.
1
Solve 2 = 2*j + 2*j - 2*q, -1 = q for j.
0
Solve -3*p + 4 = 2*t, 5*p + 4*t = 9*p - 32 for p.
4
Solve -r - 3*p + 10 = 0, 4*r - 2*p - 4 = -6 for r.
1
Solve -d + 3*w - 9 = 0, 25*d = 27*d + 2*w + 2 for d.
-3
Solve 5*k + 15 = -2*t + 2*k, 25 = -2*t - 5*k for t.
0
Solve 2*l = 5*a - 31, -5*a + a + 2*l + 26 = 0 for a.
5
Solve 5*s = 2*c + 3, 5*c - 40*s + 37*s - 2 = 0 for c.
1
Solve 0 = -5*k - 14*j + 9*j + 15, 5*j - 10 = -4*k for k.
5
Solve 10 = 3*x - 2, -5*d + 2*x + 12 = 0 for d.
4
Solve -2*a = g - 3, -756*a + 753*a + 2 = -g for a.
1
Solve -8 = -23*h + 27*h + 3*z, -19 = 3*h - z for h.
-5
Solve -5*n + 0*n + 7 = 2*f, 4*f = 4 for n.
1
Solve 4*q + 3*g + 2*g = 7, -3*g = q for q.
3
Solve -7*t + 3*w + 12 = -4*t, 5*t + 4*w = -25 for t.
-1
Solve 2*k + 34 = 4*s + 16, 4*s = 4*k + 28 for k.
-5
Solve c = -4*d + 16, -12 = 2*c + c for d.
5
Solve 2*q - 5*z = -15, -3*q + 5*z - 20 = -2*q for q.
5
Solve 3*c - j = -20, -2*j + 20 = 2*j for c.
-5
Solve 10*j = 14*j + 2*u + 16, -5*u = -10 for j.
-5
Solve 3*d + 6 = 3*i, -3 + 16 = -4*i - 3*d for i.
-1
Solve 4*r = -4*s - 36 + 24, -3*r - 7 = s for r.
-2
Solve -d - 17 = 4*q, 4*d - 79 = -3*q - 108 for q.
-3
Solve 4*f = -x + 7*f + 1, -3*f = -3*x - 9 for x.
-5
Solve w + 4*f - 12 = 0, -5*f = -4*w + 9*w - 30 for w.
4
Solve -2*o - o = 2*x + 12, 4*o - 4*x = 4 for o.
-2
Solve 2*z = -3*v - 4, -7*v + 4*v = z - 1 for z.
-5
Solve -2*h = -3*t + 4, 4*t - 25*h - 8 = -21*h for t.
0
Solve -2*h = -5*w + 3, -12 = 4*h + 9*w - 13*w for h.
-4
Solve 0 = 3*f - 4*r + 29, 137*r - 141*r + 11 = 3*f for f.
-3
Solve b - 4 = -4*q - 13, -5*q = b + 10 for b.
-5
Solve 4 = -l - 4*u - 2, -4*l = u + 9 for l.
-2
Solve -3*z + 3*f - 9 = 0, 3*f - 22 = z - 23 for z.
-5
Solve -11*l + 9*l = -3*b + 14, 2 = l for b.
6
Solve 0 = 4*a - a + 2*j + 15, 3*a = 3*j - 15 for a.
-5
Solve o + 2*m + 13 = 0, -38*o = -43*o - m - 29 for o.
-5
Solve -2*j = 5*h + 5, 4*j + 5*h - 56 = -51 for j.
5
Solve 4*i - s + 9 = 0, 7*i = 4*i - 2*s - 15 for i.
-3
Solve -14*h - 4*n = -13*h + 7, 0 = -h + 3*n for h.
-3
Solve -5*h - 34 = -5*d - 19, 0 = h + 2*d - 12 for h.
2
Solve 2*t - 3 - 2 = 3*m, -3 = -4*t - m for t.
1
Solve -4 = 2*n - 3*r, -2*r - 182 = 3*n - 189 for n.
1
Solve -3*s + 3*g + 3 = 0, -5*g - 65 + 60 = 3*s for s.
0
Solve 9*f - 7*f - 4*b + 2 = 0, -3*b - 1 = f for f.
-1
Solve -4*r = -4*x + 8, -3*r + 3*x = 5*x + 16 for r.
-4
Solve 5*a + 4*v = 12, 4*v = -138*a + 135*a + 4 for a.
4
Solve -4*p - 4*m + 4 = 0, -3*p + 5*m + 84 = 105 for p.
-2
Solve -c - 6 = -4*y, 2*y + 24 = c + 4*c for y.
3
Solve 0 = 3*j + 4*v - 10 - 8, 5*j - v = 7 for j.
2
Solve 40*j - 5 = 44*j - 3*g, j - 5 = 2*g for j.
-5
Solve p - 5*d = -18, -65*p + 3*d = -70*p - 6 for p.
-3
Solve 0 = q - 6*c - 26, 0 = 23*c - 25*c - 10 for q.
-4
Solve 0*s = 4*s - 2*l + 26, -2*l = s - 6 for s.
-4
Solve -j - 1 = 3*u - 8, 5*j - 3 = u for j.
1
Solve 9 = -3*w + 5*j, 2*w + 3*j + 6 = j for w.
-3
Solve 5*w - 4*i - 17 + 3 = 0, -w + 2*i = -4 for w.
2
Solve -4*f = 3*t - 17, -48*t = -52*t - 5*f + 22 for t.
3
Solve 4*z - 3*d = -14, z - 4*d - 3 = -0 for z.
-5
Solve -4*f - 50 + 68 = 3*v, -2*v = -4*f + 8 for v.
2
Solve 0 = -5*s - 5*p + 35, 0 = 3*p - 3 - 12 for s.
2
Solve 3*h + 3 = w, 4*w - 184 = -208 for h.
-3
Solve -m + 2*m = 2*c - 2, 4*c + m + 2 = 0 for c.
0
Solve -12*p + 10*p = 5*s - 18, 5*s =
|
{
"pile_set_name": "DM Mathematics"
}
|
e factors of 801955713?
3, 13, 20562967
What are the prime factors of 35278810?
2, 5, 7, 503983
List the prime factors of 288222558.
2, 3, 13, 419, 8819
List the prime factors of 1655604200.
2, 5, 29, 131, 2179
What are the prime factors of 106384733?
7, 13, 167009
What are the prime factors of 76519535?
5, 163, 93889
List the prime factors of 12199777.
443, 27539
List the prime factors of 9510402.
2, 3, 11, 103, 1399
List the prime factors of 164357687.
13, 71, 178069
List the prime factors of 24194107.
7, 3456301
What are the prime factors of 32608051?
7, 947, 4919
List the prime factors of 842235381.
3, 13, 2399531
What are the prime factors of 1104994243?
107, 1171, 8819
List the prime factors of 498491997.
3, 31, 5360129
List the prime factors of 95237933.
7, 47, 289477
List the prime factors of 692093376.
2, 3, 13, 30809
List the prime factors of 133760756.
2, 33440189
What are the prime factors of 8219197112?
2, 7, 883, 166219
What are the prime factors of 748902901?
11399, 65699
What are the prime factors of 81782979?
3, 27260993
What are the prime factors of 276011207?
8209, 33623
List the prime factors of 375196463.
107, 421, 8329
What are the prime factors of 3549405423?
3, 229, 2273
List the prime factors of 934912367.
509, 1836763
List the prime factors of 17896871.
521, 34351
What are the prime factors of 40372617?
3, 467, 28817
What are the prime factors of 1683760857?
3, 61, 9200879
What are the prime factors of 89946636?
2, 3, 13, 576581
List the prime factors of 7905793695.
3, 5, 19, 227, 122201
List the prime factors of 384955921.
7, 54993703
What are the prime factors of 247490085?
3, 5, 16499339
What are the prime factors of 69323431?
3701, 18731
What are the prime factors of 208662174?
2, 3, 7, 1656049
What are the prime factors of 12147761?
47, 131, 1973
List the prime factors of 426974413.
37, 53, 217733
List the prime factors of 12671006.
2, 233, 27191
What are the prime factors of 6317799619?
491, 12867209
What are the prime factors of 2351282679?
3, 167, 1564393
List the prime factors of 102200237.
102200237
List the prime factors of 3215847303.
3, 357316367
List the prime factors of 568395256.
2, 11, 13, 496849
List the prime factors of 1205837777.
29, 43, 966991
List the prime factors of 23699213.
19, 1247327
What are the prime factors of 176633594?
2, 43, 199, 10321
List the prime factors of 3223777533.
3, 103, 10432937
List the prime factors of 15225288.
2, 3, 13, 48799
List the prime factors of 93477039.
3, 1789, 17417
List the prime factors of 546593794.
2, 61, 4480277
List the prime factors of 2330418882.
2, 3, 11, 349, 101173
List the prime factors of 4471357323.
3, 17, 31, 2828183
List the prime factors of 534641123.
73, 7323851
List the prime factors of 57061389.
3, 7, 11, 19, 13001
What are the prime factors of 45376565?
5, 13, 499, 1399
What are the prime factors of 80181692?
2, 4177, 4799
What are the prime factors of 4037879354?
2, 19, 6833, 15551
List the prime factors of 1596447112.
2, 13, 23, 89, 7499
List the prime factors of 1135566673.
19, 31, 1927957
List the prime factors of 5427064.
2, 678383
List the prime factors of 61014626.
2, 30507313
List the prime factors of 2795755889.
229, 12208541
What are the prime factors of 224313456?
2, 3, 43, 191, 569
What are the prime factors of 18588117?
3, 23, 269393
What are the prime factors of 279437147?
11, 53, 479309
List the prime factors of 65790346.
2, 233, 141181
List the prime factors of 373358279.
7, 5867, 9091
What are the prime factors of 856817286?
2, 3, 13, 10984837
List the prime factors of 146636699.
11, 19, 701611
What are the prime factors of 73676886?
2, 3, 991, 12391
What are the prime factors of 44504168?
2, 5563021
What are the prime factors of 5847985536?
2, 3, 1721, 8849
What are the prime factors of 60773254?
2, 2677, 11351
List the prime factors of 22791523.
59, 386297
What are the prime factors of 3688299633?
3, 15187, 80953
List the prime factors of 3653970669.
3, 83, 543503
List the prime factors of 1067850615.
3, 5, 13, 29, 188833
List the prime factors of 32842102.
2, 223, 73637
List the prime factors of 213907963.
213907963
List the prime factors of 175164482.
2, 87582241
List the prime factors of 60015929.
60015929
What are the prime factors of 214697953?
214697953
List the prime factors of 83143382.
2, 7, 67, 137, 647
What are the prime factors of 1025242962?
2, 3, 170873827
What are the prime factors of 49082746?
2, 223, 110051
What are the prime factors of 1841287206?
2, 3, 11, 27898291
What are the prime factors of 155155648?
2, 47, 51581
What are the prime factors of 946315631?
61, 929, 16699
What are the prime factors of 47030000?
2, 5, 4703
List the prime factors of 527810133.
3, 4157, 42323
What are the prime factors of 101268162?
2, 3, 5626009
List the prime factors of 13361231.
13, 1027787
List the prime factors of 44695470.
2, 3, 5, 379, 3931
What are the prime factors of 91712033?
7, 149, 87931
List the prime factors of 115063979.
83, 1386313
List the prime factors of 1320357500.
2, 5, 7, 11, 19
List the prime factors of 10581639.
3, 3527213
List the prime factors of 1038088215.
3, 5, 149, 154823
List the prime factors of 254074951.
13, 23, 53, 16033
List the prime factors of 2893954277.
19, 23, 83, 3469
List the prime factors of 1412046914.
2, 401, 1760657
What are the prime factors of 905078638?
2, 719, 629401
List the prime factors of 1056087430.
2, 5, 17, 41, 277, 547
What are the prime factors of 289540088?
2, 19, 1904869
What are the prime factors of 438297870?
2, 3, 5, 14609929
What are the prime factors of 2749878776?
2, 37, 9290131
What are the prime factors of 6338816399?
23, 275600713
List the prime factors of 829154697.
3, 7, 1123, 35159
List the prime factors
|
{
"pile_set_name": "DM Mathematics"
}
|
3
Let b(d) = d**3 + 2*d**2 + 2. Let g be b(0). Solve 2*v + 16 = -2*a, 2*v = -g*a + a - 12 for v.
-4
Suppose j = -3*i + 13 - 1, 0 = i - j - 8. Suppose -i = -4*a - q, -a + 7 = 2*a + 4*q. Suppose 5 = h + a. Solve 2*v + 3*f + 9 = h*f, 3*v = -3*f for v.
-3
Let q = -319 - -319. Solve -3 = 3*o - z, q*o - 6 = -o - 2*z for o.
0
Suppose -4*r + 146 = 5*m, 4*m + 162 = 5*r - 0*r. Solve 5*s - r = 3*x, s - 1 = 2*s + 2*x for s.
5
Let t be (6 - 13)*(0 - 30/7). Let g = t + -28. Solve 2*l - 19 = -3*a, 0*l - g*l - 5*a = -25 for l.
5
Let u(z) = -16*z - 299. Let n be u(-19). Solve -2*g - f = -3*f + 8, 0 = 5*g - 2*f + n for g.
1
Let p(x) = x + 4. Let t be p(0). Solve -3*i - t*z + 0*z = -23, 5*z = 10 for i.
5
Let h be (-25)/(-3) + 17/(-51). Solve -2*v + 4*n = 10, 2*v + 2*n - h = -3*n for v.
-1
Suppose -3*x = 5*k - 7, 2*k - 2*x = -3*k + 12. Let t be k - (-2 - 2/2). Solve a - t = -3*v, -v + 4*a = -a + 9 for v.
1
Suppose -4*b = -i + 53, 2*i - 2*b - 69 - 37 = 0. Let g = i + -45. Let u = 4 + 0. Solve 18 = o + u*s, -3*o + g*o + 5*s = 15 for o.
-2
Let n(v) = 3*v**2 + 39*v + 3. Let y be n(-13). Solve -12 = -4*z - 0*t + t, 2*t + 14 = y*z for z.
2
Suppose 2*k - 3*o - 29 = 0, -5*k + 11*o - 13*o + 63 = 0. Solve 4*t - k = 3*u + 5*t, -5*u - 15 = -5*t for u.
-4
Let o be (2/4)/((-2)/(-36)). Suppose 2*q = 21 - o. Suppose -4*t - 2*p + 12 = 0, 3*t - p = q + 13. Solve 7*c - 15 = 2*c - m, t*c = 2*m for c.
2
Let t(y) = y**3 + 6*y**2 - 10*y - 17. Let s be t(-7). Solve s = -4*n - 3*u, 1 = n + 5*u + 2 for n.
-1
Let v(b) = b**2 + 6*b - 13. Let a be v(-8). Suppose -y = a*y - 60. Solve -f - 5 = -h - 0, 3*f + 3*h + y = 0 for f.
-5
Suppose -4 = -f - 3*c, c - 16 = 2*f - 6*f. Solve 0 = f*y - x + 10, -y = -0*y - 5*x + 12 for y.
-2
Let q = -5034 + 5035. Suppose -2*z + 3*u + 19 = 0, 5*z + 4*u - 30 = 8*u. Solve -z*p - w = q, p = -0*p + 3*w + 17 for p.
2
Let y(l) = 3*l - 95. Let g be y(32). Solve -i + 4*v + 11 = 0, i + g = v - 3*v for i.
3
Suppose -17 = -3*n - 5*u, -10*n + 21 = -6*n + 5*u. Solve 0 = -n*a + 2*z + 2, a + 5 = -a - 5*z for a.
0
Suppose -5*a = -x + 2*x + 7, 0 = -3*a - 6. Solve 3 = 3*r + 3*o, -x = -2*r + 3*r + 5*o for r.
2
Let c be -3*((-1)/3 - 1). Let r be (6/(-10))/((-3)/15). Let o(k) = -k**2 + 12*k - 18. Let f be o(9). Solve -r*x - 21 = -c*u, x - f = 4*x for u.
3
Suppose -q + l + 5 = 0, 0 = -q + 43*l - 47*l. Solve -3*h = -5*y - 26, -2*y + 5 = -q*h + 21 for h.
2
Let s = -6 + 10. Suppose b = s*b - 48. Let q be 1*6*8/b. Solve 2*t - q*t + 5*o - 22 = 0, 0 = 4*t - o + 12 for t.
-2
Let m = 4 - 0. Suppose -m*y - y + 125 = 0. Suppose 0*z = 5*z - y. Solve -z*n - 3*p + 13 = 48, -n - 3*p = 19 for n.
-4
Suppose 0 = 4*o - 3*b - 134, 2*o - o - 4*b - 27 = 0. Solve 0 = -3*w - 4*u - 4 - 1, 5*u = 2*w - o for w.
5
Suppose 19*b = 21*b - 10. Suppose 3*z - b*g - 14 = 0, 5*z = -g + 2*g + 16. Solve -j = 2*o + 2*j - 1, z = 2*o + 5*j for o.
-1
Let p = -183 + 183. Solve 33 = -4*j - 5*u + 6, 4*j + 4*u + 24 = p for j.
-3
Suppose -62*t = -61*t - 2. Solve m = 4*k + 11, 9 + 4 = -5*k + t*m for k.
-3
Suppose -5*t - 2*w = -71, 0*t - 2*w = -3*t + 49. Let n be 35*(3 - 51/t). Let l = -9 - n. Solve 0 = b + 1, 4 = -l*z + 3*z - 2*b for z.
-1
Suppose 5*s = -7*g + 8*g + 9, -8 = -2*s - 4*g. Solve -4*m - 8 = s*j, 4*j + j + 20 = -5*m for m.
0
Let q = -1262 - -1264. Solve -4*x = w - 20, 5*w + q*x - 28 = -0*x for w.
4
Let r(b) be the first derivative of b**4/4 + b**3 - 5*b**2/2 - 7. Let p be r(-4). Let i = 8 + 10. Solve -p*x = 2*z + i, -3*z - 2*x - 3*x = 22 for z.
1
Let b = 159 - 157. Solve -4*d = 4, -4*c + 7*d - b*d = -21 for c.
4
Suppose 5*w + 12 = 2. Let t = -6 - w. Let z = t + 23. Solve -24 = b + 5*o - 2, 3*b - z = 2*o for b.
3
Let q(d) = -5*d - 7. Let j be q(-3). Suppose -13*n = -j*n. Solve 4*o - 8 = 2*c, -4*o + 4 = -n*c - c for o.
0
Suppose -6*j - 58 = -22. Suppose -15 = 4*n + n + d, 5*n = -2*d - 20. Let c = n - j. Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 21*c.
-3*c*(c + 7)
Determine y so that 14*y**4 - 640*y**3 - 198*y**2 + 640*y + 184 = 0.
-1, -2/7, 1, 46
Factor -3*l**4 - 75*l**3 - 66*l**2 + 144*l.
-3*l*(l - 1)*(l + 2)*(l + 24)
Find b, given that 2*b**2 - 64*b - 66 = 0.
-1, 33
Factor 75*f**3 + 122*f**2 + 45*f - 2.
(f + 1)*(3*f + 2)*(25*f - 1)
Factor 3*n**2 + 18*n - 21.
3*(n - 1)*(n + 7)
Let 727657880*u**3 - 4150140*u**2 + 7890*u - 5 = 0. What is u?
1/526
Solve 4*g**5 - 80*g**4 + 169*g**3 + 121*g**2 - 272*g - 140 = 0.
-1, -1/2, 2, 35/2
Solve -3*t**4/4 - 81*t**3/4 + 297*t**2/2 - 24*t - 792 = 0 for t.
-33, -2, 4
Let -2*b**5/7 + 10*b**4/7 + 16*b**3/7 - 24*b**2/7 = 0. What is b?
-2, 0, 1, 6
Factor -2*i**3/7 - 46*i**2/7 - 78*i/7 + 18.
-2*(i - 1)*(i + 3)*(i + 21)/7
Factor r**2/5 + 12*r/5 + 4.
(r + 2)*(r + 10)/5
Suppose -30*y**4/13 + 226*y**3/13 + 116*y**2/13 - 32*y/13 = 0. What is y?
-2/3, 0, 1/5, 8
Factor -3*u**3/2 + 33*u**2/2 + 24*u - 264.
-3*(u - 11)*(u - 4)*(u + 4)/2
Determine y, given that 50*y**5/23 - 630*y**4/23 - 1708*y**3/23 - 1356*y**2/23 - 358*y/23 - 30/23 = 0.
-1, -1/5, 15
Factor c**3/2 + 15*c**2/2 + 63*c/2 + 49/2.
(c + 1)*(c + 7)**2/2
Factor p**5 - 45*p**4 - 3*p**3 + 133*p**2 + 90*p.
p*(p - 45)*(p - 2)*(p + 1)**2
Factor 3*b**5/5 - 18*b**3/5 + 24*b**2/5 - 9*b/5.
3*b*(b - 1)**3*(b + 3)/5
Factor -z**2 - 53*z.
-z*(z + 53)
Factor 2*j**3/13 + 96*j**2/13 - 750*j/13 + 1100/13.
2*(j - 5)*(j - 2)*(j + 55)/13
Suppose 5*h**5 - 425*h**4 + 9650*h**3 - 26450*h**2 + 25625*h - 8405 = 0. Calculate h.
1, 41
Factor -5*g**3 + 15*g**2 + 200*g.
-5*g*(g - 8)*(g + 5)
Factor -z**4 - 38*z**3 + 79*z**2 - 40*z.
-z*(z - 1)**2*(z + 40)
Suppose -4*i**5 - 716*i**4 - 43192*i**3 - 905768*i**2 - 1684804*i - 821516 = 0. What is i?
-59, -1
Determine q so that q**2/5 - q/5 - 42/5 = 0.
-6, 7
Find l, given that -2*l**2/3 + 96*l - 2926/3 = 0.
11, 133
Determine c so that -2*c**3/13 - 308*c**2/13 - 6050*c/13 - 31944/13 = 0.
-132, -11
What is z in -9*z**4 + 96*z**3 - 277*z**2 + 154*z - 24 = 0?
1/3, 4, 6
Suppose -1250*r**4/7 - 1970*r**3/7 - 202*r**2/7 + 506*r/7 - 12/7 = 0. Calculate r.
-1, 3/125, 2/5
Let -4*z**4/5 - 3*z**3/5 + 49*z**2/5 - 12*z/5 = 0. Calculate z.
-4, 0, 1/4, 3
Determine x so that 2*x**3/3 + 118*x**2 - 120*x - 712/3 = 0.
-178, -1, 2
Suppose 5*b**3 + 35*b**2 + 40*b - 80 = 0. What is b?
-4, 1
Find o such that -o**2/4 - 1765*o/2 - 3115225/4 = 0.
-1765
Find d, given that d**5/3 + 8*d**4/3 + 6*d**3 - 9*d = 0.
-3, 0, 1
Find s, given that 4*s**5 - 156*s**4 - 328*s**3 = 0.
-2, 0, 41
Factor -2*j**2/9 + 10*j/9 + 8.
-2*(j - 9)*(j + 4)/9
Factor -f**5 - 9*f**4 - 26*f**3 - 18*f**2 + 27*f + 27.
-(f - 1)*(f + 1)*(f + 3)**3
Factor -3*u**4 + 21*u**2 + 18*u.
-3*u*(u - 3)*(u + 1)*(u + 2)
Factor 4*h**3 + 188*h**2 + 668*h - 860.
4*(h - 1)*(h + 5)*(h + 43)
Solve -3*p**5/5 - 3*p**4/5 + 24*p**3/5 + 36*p**2/5 = 0.
-2, 0, 3
Factor 2*q**2/11 - 92*q/11 + 90/11.
2*(q - 45)*(q - 1)/11
Determine i so that 2*i**3/3 + 8*i**2/3 = 0.
-4, 0
Determine h, given that 2*h**5/11 + 32*h**4/11 + 160*h**3/11 + 256*h**2/11 = 0.
-8, -4, 0
Solve c**5 + 38*c**4 - 79*c**3 + 40*c**2 = 0.
-40, 0, 1
Factor 7*f**4/2 - 34*f**3 + 43*f**2/2 + 9*f.
f*(f - 9)*(f - 1)*(7*f + 2)/2
Factor 4*z**3/7 - 4*z**2/7 - 8*z/7.
4*z*(z - 2)*(z + 1)/7
Solve 3*o**3/7 - 30*o**2/7 + 69*o/7 - 6 = 0 for o.
1, 2, 7
What is i in -i**2 - 9*i + 10 = 0?
-10, 1
Determine w, given that -44*w**4/5 + 168*w**3/5 - 144*w**2/5 - 32*w/5 = 0.
-2/11, 0, 2
Let n**4/4 + 7*n**3/2 + 33*n**2/4 - n - 11 = 0. Calculate n.
-11, -2, 1
Suppose -2*a**5 + a**4 + 11*a**3 + 11*a**2 + 3*a = 0. What is a?
-1, -1/2, 0, 3
Factor -i**4/2 - 7*i**3/2 - 13*i**2/2 + 3*i/2 + 9.
-(i - 1)*(i + 2)*(i + 3)**2/2
Suppose 4*o**4/5 +
|
{
"pile_set_name": "DM Mathematics"
}
|
et m = 3986071/12 + -331932. Let z = m - 237. What is the common denominator of (-1 - 58)/(1*15) and z?
60
Suppose -18*h + 2038 = -482. Calculate the common denominator of ((-275)/h - -1 - -1)*-110 and 37/68.
476
Let o = -52 - -58. Find the common denominator of o/(-12)*123/36 and 23/42.
168
Let c(b) = -b + 2. Let z be c(-1). Let v be (3 + z + 31/(-3))*21. Calculate the common denominator of 20/33 and 1/(-9)*v*(-12)/(-63).
297
Let h = -40339/17530 + 2/1753. Suppose 0*o + 3*o = -2*w + 1628, -3220 = -4*w + 3*o. Let s = -7313/9 + w. Find the common denominator of s and h.
90
Suppose 2*h - 5*h = 2*r + 49, 3*h = -5*r - 127. Let g = r - -31. Suppose -19 = -g*v - 9. What is the smallest common multiple of 22 and v?
22
Let w = -2178 + 5241. Suppose -8*z + 3093 = -5*z - 3*u, 3*u - w = -3*z. Find the common denominator of 8/(-6)*z/(-36) and -64/3.
3
Let a = -1308457334/1933 - -676905. Calculate the common denominator of a and 53/4.
7732
Suppose -8 = q + 4*g, 4*q - g + 8 = -5*g. Suppose 6*r + q*r = 12. Suppose -5*w = -l + 41, r*l - 3*w + 5*w = 22. What is the lowest common multiple of l and 14?
112
Suppose -22*h + 49729 + 144617 = 39*h. What is the lowest common multiple of 2 and h?
3186
Let i be 16/3*(-1916)/(-760). Let y = -805/9 + 15508/171. Let z = y - i. What is the common denominator of 53/30 and z?
30
Let f = 31302/7 + -940103/210. Calculate the common denominator of f and 4 - 6 - 202/36.
90
Let y(d) = -d**2 + 28*d + 107. Let o be y(31). Let x(v) = 8*v**2 + 4*v + 2. Calculate the least common multiple of x(-2) and ((-2)/(-4))/(o/504).
234
Let u(q) = -2*q**2 - 42*q - 22. Let t be u(-19). Suppose 0 = -t*k + 555 - 15. Calculate the lowest common multiple of (-1 - -2)/(1/68) and k.
340
Let m = -463 - -475. Calculate the common denominator of 89/16 and (-135)/24*5/m.
32
Suppose 5 = -2*r + r - d, -4*d = 2*r. Let n be -3 + (4/r - (-32)/5). Suppose 2*b + 5*l + 6 = 19, -3*l = n. What is the least common multiple of b and 3?
9
Suppose 5*w - 40 = 4*q, 5*q = -2*w + 2 - 19. Find the common denominator of (9/375)/(-5*w/(-650)) and -43/14.
350
Let m be ((-38921)/(-76))/(((-21)/12)/7). Let z = -2049 - m. Find the common denominator of 3 - 3 - 39/(-4) and z.
76
Let k be 9/(-7) - (-8)/28. Let b(n) = -6*n + 44. Let t be b(9). What is the smallest common multiple of 4 and -2 - (k - 0) - (-20 - t)?
36
Let j = 209 - 1838/9. What is the common denominator of j and -2*(-193)/645 - 4/30*1?
387
Let d = 96 + -106. Calculate the smallest common multiple of (d - -24) + (2 - 4) and 28.
84
Suppose 9*p = 376 + 4574. Let a = 30799/56 - p. Calculate the common denominator of a and -35/16.
112
Let d = 958243/40 - 23954. What is the common denominator of 22/285 and d?
2280
Suppose -89 - 25 = -2*w. Let j(p) = -p - 3. Let h(m) = -m**3 + 5*m**2 - 4*m + 9. Let b be h(5). What is the lowest common multiple of w and j(b)?
456
Calculate the common denominator of -41/240 and (-19195)/(-3300) - (-1 + 4).
240
Suppose 5*z - 1761 = -3*t + 475, -4*t + 2990 = -2*z. Let w = 12763900 - 472236655/37. Let h = t - w. What is the common denominator of 45/4 and h?
148
Let v = -10488 - -11296. What is the lowest common multiple of 202 and v?
808
Let l(m) = 2*m**3 + 20*m**2 - 2*m + 20. Let c(x) = -x**3 - x**2 + x + 1. Let r(f) = c(f) + l(f). What is the lowest common multiple of 4 and r(-19)?
40
Let m = -667109/3381800 + -3/91400. Find the common denominator of m and 97/814.
4070
Suppose -1240 = -997*f + 987*f. What is the lowest common multiple of 18 and f?
1116
Let a = -1938 - -4008. Calculate the lowest common multiple of a and 552.
8280
Let w be 10265/(-398)*63/210. Let c = w - 5/398. What is the common denominator of 61/8 and c?
8
What is the common denominator of (0 - -7) + (-1187208)/168960 and 121/624?
24960
Suppose -2*t = 14 - 18. What is the lowest common multiple of t and 28?
28
Suppose -2*y + 129 = -y. Suppose -27 + 75 = r + 2*j, -3*r + y = 3*j. Let m = r - 194/5. Find the common denominator of m and 36.
5
Let g = 4132 - 248023/60. Calculate the common denominator of g and 11118/68*(-2)/(-120) + 9/72.
60
Calculate the common denominator of -97/24 and (-33)/((-4158)/12) - 229/1218.
4872
Suppose -156*x = -149*x - 350. Let r = x + 38. What is the lowest common multiple of r and 55?
440
Let q = -4459296 + 1319954365/296. Let r be -51*((-654)/(-333) - 2). Let v = r + q. Calculate the common denominator of v and 47/34.
136
Let b = -7448/895 + -14/179. Let c = 2465 + -391957/159. Let q = c + 3581/1749. Calculate the common denominator of q and b.
55
Calculate the common denominator of ((-20)/6 + 3)*(32 + -14 - 48) and -77/36.
36
Let k be (-4)/1 - (19760/(-7))/(-13). Let u = 3009/14 + k. Calculate the common denominator of 27/22 and u.
154
Find the common denominator of -67/150 and 94/(-329) + 2 + (-1767)/700.
300
Let y = 185 - 234. Calculate the common denominator of -29/7 and (47/y)/(120/(-35)).
168
Calculate the smallest common multiple of 952 and (4/(-6))/((-3531)/504 - (-21)/3).
1904
Let w = 44311 + -44177. Let x be (3/(-2))/(12/(-16)). Let n(k) = 6*k**2 - 3*k + 2. Calculate the lowest common multiple of n(x) and w.
1340
Let f(b) = 13*b - 7. Suppose 243*i - 1299 + 1496 = 4571. Calculate the lowest common multiple of i and f(7).
252
Let d(h) be the first derivative of -h**3/3 + 4*h**2 - 4*h - 3. Let l be d(5). Let f(m
|
{
"pile_set_name": "DM Mathematics"
}
|
ithout replacement from wwwwhwwwhwh.
28/165
Four letters picked without replacement from {u: 4, h: 1, i: 1, k: 1, s: 1}. What is prob of sequence kuui?
1/140
What is prob of sequence jxj when three letters picked without replacement from djvxxxexeeddjxxxdej?
7/969
What is prob of sequence uttt when four letters picked without replacement from uuttt?
1/10
What is prob of sequence ho when two letters picked without replacement from vhoovooooovooooo?
1/20
Two letters picked without replacement from {z: 2, w: 2}. What is prob of sequence zz?
1/6
What is prob of sequence ww when two letters picked without replacement from wwwwwfwwwwv?
36/55
Calculate prob of sequence pw when two letters picked without replacement from {s: 4, w: 1, p: 7, y: 3, q: 3}.
7/306
Three letters picked without replacement from {i: 11, g: 5}. What is prob of sequence ggg?
1/56
Two letters picked without replacement from kkkckckkkkk. What is prob of sequence ck?
9/55
Three letters picked without replacement from {x: 11, o: 3}. Give prob of sequence xxo.
55/364
Four letters picked without replacement from {y: 2, l: 4, c: 1, f: 6, b: 2, s: 3}. What is prob of sequence ylcy?
1/9180
Calculate prob of sequence jc when two letters picked without replacement from ajaocoaacaa.
1/55
Two letters picked without replacement from {u: 3, h: 3, p: 5, e: 1, a: 1}. What is prob of sequence he?
1/52
Three letters picked without replacement from hhhshhhh. What is prob of sequence hhs?
1/8
Calculate prob of sequence gcgg when four letters picked without replacement from {c: 8, g: 3}.
1/165
Three letters picked without replacement from xogttgttotto. What is prob of sequence txo?
3/220
Calculate prob of sequence ov when two letters picked without replacement from oooovoooovoooooooo.
16/153
What is prob of sequence amm when three letters picked without replacement from sgwmsmmagmmmwsmwlsw?
7/969
Four letters picked without replacement from nnnnnnnt. What is prob of sequence tnnn?
1/8
Two letters picked without replacement from gjprryfrgyjyppp. Give prob of sequence pf.
2/105
What is prob of sequence wk when two letters picked without replacement from pxaxaxpkxxppawp?
1/210
Calculate prob of sequence rsr when three letters picked without replacement from {r: 3, s: 5}.
5/56
Two letters picked without replacement from cwwcccccwcc. Give prob of sequence cw.
12/55
Four letters picked without replacement from {m: 1, h: 7}. What is prob of sequence hhhm?
1/8
Two letters picked without replacement from hhkkhhhhhhhhhhhhhh. What is prob of sequence hh?
40/51
Three letters picked without replacement from {f: 4}. Give prob of sequence fff.
1
Three letters picked without replacement from {p: 3, k: 4, s: 3, c: 7, y: 1}. Give prob of sequence ssy.
1/816
Calculate prob of sequence qyu when three letters picked without replacement from yyuyqyuq.
1/21
Three letters picked without replacement from {u: 1, a: 1, j: 1, g: 2, w: 1, y: 1}. Give prob of sequence wgg.
1/105
Calculate prob of sequence vc when two letters picked without replacement from cvvlvlvlv.
5/72
Calculate prob of sequence zzz when three letters picked without replacement from {z: 4}.
1
Two letters picked without replacement from {c: 6, p: 12}. Give prob of sequence cc.
5/51
Three letters picked without replacement from mjmvysm. Give prob of sequence smy.
1/70
Calculate prob of sequence nffn when four letters picked without replacement from {n: 9, f: 11}.
22/323
Calculate prob of sequence qpx when three letters picked without replacement from xqvsp.
1/60
Two letters picked without replacement from yldzuyb. Give prob of sequence du.
1/42
Four letters picked without replacement from {v: 6, h: 7}. What is prob of sequence hvhh?
21/286
Four letters picked without replacement from {n: 7, v: 2, r: 4, x: 1}. Give prob of sequence vvxn.
1/1716
Three letters picked without replacement from ohosb. Give prob of sequence shb.
1/60
Four letters picked without replacement from pipvpvbbppbbrpvbrbbv. Give prob of sequence ppbb.
7/646
What is prob of sequence ppbj when four letters picked without replacement from {b: 1, j: 1, p: 12}?
1/182
What is prob of sequence qf when two letters picked without replacement from hfzfqssq?
1/14
Two letters picked without replacement from paaaggabgpabggzbgppb. What is prob of sequence ga?
3/38
Calculate prob of sequence tptf when four letters picked without replacement from aafpttpttffpatafappf.
25/5814
What is prob of sequence phs when three letters picked without replacement from {h: 1, n: 1, s: 5, p: 2}?
5/252
Three letters picked without replacement from {j: 2, u: 6, o: 2, v: 2}. What is prob of sequence voo?
1/330
Calculate prob of sequence oeoo when four letters picked without replacement from {e: 5, o: 9}.
15/143
Three letters picked without replacement from jxxaaaaxajjjaajxj. Give prob of sequence aaa.
7/136
Two letters picked without replacement from hhjtturj. Give prob of sequence ur.
1/56
Four letters picked without replacement from {z: 3, w: 3, m: 1}. What is prob of sequence zwzz?
3/140
Calculate prob of sequence hj when two letters picked without replacement from {f: 4, h: 2, j: 4, e: 1}.
4/55
What is prob of sequence qq when two letters picked without replacement from qqqqqqqqqxqq?
5/6
What is prob of sequence ff when two letters picked without replacement from {f: 4, t: 2, k: 2, g: 2}?
2/15
Three letters picked without replacement from ewvmwbvn. Give prob of sequence ebm.
1/336
What is prob of sequence dmn when three letters picked without replacement from andmaauudnmnmu?
3/364
Two letters picked without replacement from ckkykyyykkc. Give prob of sequence cc.
1/55
What is prob of sequence dxxd when four letters picked without replacement from xdxddxddxxxx?
7/99
Four letters picked without replacement from {c: 5, w: 3, o: 2, i: 10}. What is prob of sequence iiwo?
3/646
Two letters picked without replacement from ezrrrrrrerzj. Give prob of sequence re.
7/66
Calculate prob of sequence avg when three letters picked without replacement from {f: 2, p: 3, v: 3, g: 2, a: 3}.
3/286
Four letters picked without replacement from nununuu. What is prob of sequence unun?
3/35
Calculate prob of sequence ckn when three letters picked without replacement from kkpbkkpcnckvn.
5/429
Calculate prob of sequence mx when two letters picked without replacement from {x: 1, m: 1, o: 3, r: 1, e: 1}.
1/42
Calculate prob of sequence hfw when three letters picked without replacement from {j: 1, w: 1, u: 1, h: 1, f: 1}.
1/60
Calculate prob of sequence pi when two letters picked without replacement from ppipggig.
3/28
Calculate prob of sequence wwhu when four letters picked without replacement from wwcwxwhwwwwcxwuwbw.
11/7344
Three letters picked without replacement from kkussa. Give prob of sequence kaa.
0
What is prob of sequence lt when two letters picked without replacement from prlpqpqtptptq?
1/52
What is prob of sequence yy when two letters picked without replacement from yyttyyy?
10/21
Three letters picked without replacement from {q: 1, x: 1, i: 3}. What is prob of sequence xqi?
1/
|
{
"pile_set_name": "DM Mathematics"
}
|
d derivative of w(p) wrt p?
36*p**2
Let q(b) be the first derivative of b**9/252 + b**5/60 - b**2 - 4. Let f(r) be the second derivative of q(r). Find the third derivative of f(g) wrt g.
240*g**3
Suppose 3*w - 4 = -n + 4*w, 0 = 4*w + 4. What is the first derivative of -7 + 10*d**3 + 2 - 4*d**3 + 2*d**n wrt d?
24*d**2
Let n = -4 + 6. Suppose -n*v + 3 = -1. Differentiate -v - 3*u**2 - 4*u + 4*u wrt u.
-6*u
Let f(b) = -b**3 - 5*b**2 - 5*b - 5. Let s be f(-4). Let c = s - -3. Differentiate 0*l**c + 2 - 1 - l**2 with respect to l.
-2*l
Suppose -5 = -2*r + 3. Suppose -r*o + 4 + 4 = 0. What is the third derivative of z**o + 1 - 3*z**5 - 1 - 4*z**2 wrt z?
-180*z**2
Find the third derivative of -a**4 - a**2 + 2*a**2 + 13*a**4 wrt a.
288*a
Let v(m) = -m**2 + m - 1. Let j(t) = -9*t**2 + 6*t. Let o(i) = -j(i) + 6*v(i). What is the derivative of o(b) wrt b?
6*b
Suppose 3*j - 9 = -3. Suppose 3*w - j*w = 3, 0 = -y + 3*w - 6. Find the second derivative of -z + 0*z**3 + 0*z**3 + z**y - 3*z**3 wrt z.
-12*z
Find the second derivative of -8*u**2 - 6*u**2 + 24*u**2 - 12*u wrt u.
20
Let g(o) = o. Let x be g(5). Find the second derivative of 2*y**5 - x*y**5 + 6*y + 2*y**5 - 5*y wrt y.
-20*y**3
Suppose v + 5*x = 24, v = 5*x - 1 - 15. What is the second derivative of -4*r**3 + 4*r**3 + v*r + 4*r**5 wrt r?
80*r**3
What is the third derivative of -2*n**2 - 7*n**4 + 0*n**2 + 6*n**2 + n**2 wrt n?
-168*n
Let k(c) = -c**3 - 7*c**2 + 6*c. Let x(m) = m**3 + 8*m**2 - 7*m. Let q(g) = 7*k(g) + 6*x(g). What is the third derivative of q(i) wrt i?
-6
Let j(l) be the third derivative of -l**8/56 + 7*l**5/60 - 6*l**2. What is the third derivative of j(p) wrt p?
-360*p**2
Let t be (6/(-4))/((-3)/6). Suppose -t*z - 2*p - 4 = 0, -3*z + 3*p + 2*p = -10. Find the third derivative of 6*k**2 + z*k**2 - k**5 - 4*k**2 wrt k.
-60*k**2
Suppose 0 = -5*u + 4*j - 12, 0*u - 2*u = j - 3. Suppose u = -x + 2 - 0. What is the derivative of x*y - 2 - 2*y**2 - 2*y wrt y?
-4*y
Differentiate 3*d - 342 - 2*d**2 + 11*d + 2*d + 305 with respect to d.
-4*d + 16
Let m(u) be the second derivative of 13*u**5/10 - 3*u**3 + 31*u. Find the second derivative of m(b) wrt b.
156*b
Let w be 4/14 + 12/7. What is the third derivative of c**w + 2*c**6 + 3*c**2 - 11 + 11 wrt c?
240*c**3
What is the derivative of 3 + 0*x + 3*x + 31*x + 21 wrt x?
34
Let v(a) = 28*a**3 - 3*a + 5. Let y(p) = 27*p**3 - 2*p + 6. Let g(h) = 2*v(h) - 3*y(h). Differentiate g(i) wrt i.
-75*i**2
Let z(k) = 17*k**4 + 6*k**2 + 2*k - 4. Let q(n) = -16*n**4 - 8*n**2 - 3*n + 4. Let a(c) = 3*q(c) + 4*z(c). Find the second derivative of a(t) wrt t.
240*t**2
Let b(i) be the first derivative of i**7/70 - i**4/12 - i**2 - 3. Let n(f) be the second derivative of b(f). What is the second derivative of n(k) wrt k?
36*k**2
Let q(b) be the first derivative of b**5 + 2*b - 6. Find the first derivative of q(m) wrt m.
20*m**3
Let g(u) be the first derivative of 4*u**5/5 + 6*u**2 - 8. What is the second derivative of g(x) wrt x?
48*x**2
Let a(n) be the second derivative of 25*n**3/6 - 31*n**2/2 - 30*n. What is the derivative of a(g) wrt g?
25
What is the third derivative of -w**3 - 5*w**2 + w**2 - 19*w**3 wrt w?
-120
What is the derivative of d - 24 + 53 - 44 wrt d?
1
Let x(g) be the second derivative of g**6/15 + g**4/6 + 7*g. Find the third derivative of x(m) wrt m.
48*m
Let f(j) be the second derivative of 0*j**3 - 1/6*j**4 + j + 0*j**2 + 0 + 1/42*j**7 + 0*j**5 + 0*j**6. What is the third derivative of f(l) wrt l?
60*l**2
Let i(j) = -10*j + 1. Let l(n) = -n + 2. Let k(d) = 3*d - 7. Let f(s) = 2*k(s) + 7*l(s). Let q(o) = -22*f(o) + 2*i(o). What is the derivative of q(t) wrt t?
2
Let q(f) be the second derivative of -1/12*f**4 + 2*f - 3/2*f**2 + 0 + 0*f**3. Differentiate q(h) with respect to h.
-2*h
Suppose -2*o = 5*h - 18, 3*o + 0*h = 4*h - 19. Let f be -2 + o + (-2 - -7). Find the second derivative of -13*s**f + 13*s**2 - 3*s**5 + 4*s wrt s.
-60*s**3
Suppose 5*u = 2*a - 0*a + 4, 5*a = 15. What is the second derivative of 4*j**2 + j**2 + j - 5*j**u + 3*j**2 wrt j?
6
Let t(p) be the third derivative of -p**7/70 + p**4/8 - 8*p**2. What is the second derivative of t(x) wrt x?
-36*x**2
Let o(y) be the third derivative of y**8/6720 - y**7/840 + y**4/24 + 5*y**2. Let c(v) be the second derivative of o(v). Find the third derivative of c(z) wrt z.
6
What is the third derivative of 48*f**2 + 46*f**2 - 20*f**5 - 93*f**2 wrt f?
-1200*f**2
Let c(k) = -k
|
{
"pile_set_name": "DM Mathematics"
}
|
88951975286.953
What is 0.2349762961 - -27.5?
27.7349762961
Calculate -293594097 - -10.85.
-293594086.15
Add together -187 and 11802299934.
11802299747
Total of 0.4566 and -6904683193.
-6904683192.5434
What is 124603.5092747 - 0.543?
124602.9662747
What is 0.2 take away 16885486.2689?
-16885486.0689
What is -56282 take away 284777.7?
-341059.7
What is -0.1365 + 6417.8902?
6417.7537
Add -243124433036 and -0.3.
-243124433036.3
Work out 5 + -106732968995922.
-106732968995917
-474337.086358 + 0.1
-474336.986358
What is -36364607 - -99637?
-36264970
-0.78061 + 9298297.62
9298296.83939
What is -36061950901 less than -3?
36061950898
Add -564055 and 239163.
-324892
What is -25730723.19469 plus 2?
-25730721.19469
Total of -363.7590234 and 0.07.
-363.6890234
Calculate 15 - 70509.3794245.
-70494.3794245
Sum -13058443150 and -0.2.
-13058443150.2
What is the distance between -4 and -44753603521?
44753603517
Sum 8832336480183 and -0.25.
8832336480182.75
What is -70623510 take away 4566?
-70628076
-528.3798266465 + 0.06
-528.3198266465
Subtract 1580650900958 from -0.13.
-1580650900958.13
Total of -42.3 and 3.32342679358.
-38.97657320642
What is 99.414984098 plus -1.3?
98.114984098
-333701424800 + 8
-333701424792
What is 10006 less than -26624229?
-26634235
What is 0.076105347653 plus 10?
10.076105347653
What is the distance between 11 and 1521759014.232?
1521759003.232
Work out -94413554 + 0.5593.
-94413553.4407
What is 1217849.701 less than 4482?
-1213367.701
What is -0.3 less than -184961309297?
-184961309296.7
Subtract 7 from -13429550028677.
-13429550028684
264911161020+115
264911161135
What is -6856738 minus 18066?
-6874804
What is -22535994025 take away -1.4?
-22535994023.6
Calculate 4449130197 - -265.
4449130462
Subtract 13291 from 173395106.
173381815
-201671636823 + 0.07
-201671636822.93
Work out -26540513277 - -1451.
-26540511826
Calculate -569491096 - -0.02209.
-569491095.97791
-43262244108686+0.2
-43262244108685.8
What is 22 - 44.1855596199?
-22.1855596199
Add together -83.92 and 38.980603.
-44.939397
57878384683 + -3
57878384680
What is -23693 minus 7703209.5?
-7726902.5
1.876166 + 9921
9922.876166
Sum -0.39 and -637646879066.
-637646879066.39
Subtract -2 from -443325980845.1.
-443325980843.1
5.02773604969 + -49
-43.97226395031
Calculate -2059.39 - 5222932.
-5224991.39
Work out -41 - 0.19532224810069.
-41.19532224810069
Put together 3.241 and -19912383239.
-19912383235.759
-3 - -63929779955
63929779952
Add 0.05 and 34106694713123.
34106694713123.05
What is the difference between 0.0944 and -0.594138322?
0.688538322
Calculate 1861 + 1835617831.
1835619692
Work out 32629649881 - 0.4.
32629649880.6
Total of 3.476398145 and 1665.7.
1669.176398145
Calculate -10186.33 - 964954.
-975140.33
Calculate 0.167 - -8228813967.
8228813967.167
Work out -240973819296 + -0.05.
-240973819296.05
Work out -0.13 - 37930.389004.
-37930.519004
What is -10413 - 2999064550?
-2999074963
What is 0.079158 - -456052.23?
456052.309158
Subtract 1021203.58746 from 0.0726.
-1021203.51486
248050+46281.62
294331.62
Put together 394 and 6206.18903.
6600.18903
What is 3.966 less than 1315380?
1315376.034
What is 192.52758372643 + -3?
189.52758372643
What is 2 - 297708030749712?
-297708030749710
Work out 13 - -44703801018.
44703801031
Work out 455119776 + 32.341.
455119808.341
Add -466 and 3.3785698289.
-462.6214301711
What is -0.3 + -87993548243?
-87993548243.3
What is 410 take away 210630849?
-210630439
Calculate 96706.386 + -0.4179.
96705.9681
Subtract -4258 from -39393602.
-39389344
Subtract 1177397 from -23721234.
-24898631
Total of -927814086 and -1.4096.
-927814087.4096
Calculate 0.392362 - 71184.
-71183.607638
What is -3212673 take away -1.075391?
-3212671.924609
Sum 0.1 and 350270738885.
350270738885.1
0.057759392185 + -11.3
-11.242240607815
Total of 0.1997659520543 and 4.
4.1997659520543
What is the distance between 704908385 and -26423?
704934808
What is -32506 + 22245571?
22213065
Put together -128.4 and -5688489828.
-5688489956.4
What is -2.4344 - -4183.577845?
4181.143445
Work out -4394.098 - 2849.025.
-7243.123
What is -1478797616 take away 14506?
-1478812122
Work out -54496246792 + -2.7.
-54496246794.7
Total of 3.7634116 and 1198920.
1198923.7634116
3194 + 106746.349
109940.349
What is the distance between -176266760 and 139268?
176406028
What is the difference between -1.8 and -71055076913?
71055076911.2
Calculate 0.0647362 - -74726.9.
74726.9647362
Work out -8 - 79651226.19.
-79651234.19
What is 135290467 + 1.807?
135290468.807
Sum -49901 and 5.0057191.
|
{
"pile_set_name": "DM Mathematics"
}
|
27000000
Let f be (-9)/27 + (-179466)/9. Round f to the nearest 10000.
-20000
Let j be -13661*(-12)/2*-4. Let m = 374136 - j. Suppose 8*n - m = -n. Round n to the nearest ten thousand.
80000
Let r = -625 + 6707. Let d = r + -9421. What is d rounded to the nearest one hundred?
-3300
Let l = 494.1444 - 494. Let b = 0.13246 - l. What is b rounded to 2 decimal places?
-0.01
Suppose 12 = -3*p + 7*p. Let b be 2316405/(-84) - p/4. Let k = 66577 + b. Round k to the nearest ten thousand.
40000
Let r = -6795.19 + 7062.188208. Let t = r + -267. Round t to four decimal places.
-0.0018
Let x = -22667 - -22666.99981128. What is x rounded to 5 dps?
-0.00019
Let s = 55591 + -9391. What is s rounded to the nearest 1000000?
0
Let v = -864.61824 + -0.08176. Round v to the nearest ten.
-860
Let h(l) = -536932*l + 4040. Let q be h(45). What is q rounded to the nearest 100000?
-24200000
Let b = 131028.99 - 129568. Let m = -1492 + b. Round m to the nearest integer.
-31
Let m = 2276.1245 - 2273. What is m rounded to two dps?
3.12
Let s = -2344.9404 + 3.8404. What is s rounded to the nearest 1000?
-2000
Let p = -2273.8371 + 2271.2. Round p to 1 dp.
-2.6
Let p = 0.732297913 - -202.267700427. Let z = -361 - -564. Let j = z - p. Round j to 7 dps.
0.0000017
Let m = 121019 - 120928.0597. Let u = 91 - m. Round u to 2 decimal places.
0.06
Suppose 11*k - 236323 = 8*k - h, k - 78785 = -3*h. What is k rounded to the nearest one thousand?
79000
Let m(t) = 2053470*t**3 - t**2 + 3*t - 1. Let i be m(1). Let k = i + -3496471. What is k rounded to the nearest one hundred thousand?
-1400000
Let g = -3051944127.99999676 + 3051944063. Let h = -64.902 - 0.098. Let n = g - h. What is n rounded to seven decimal places?
0.0000032
Let r = -33.54 + -0.46. Let i = r + 42.1. Let j = i - 5.74. Round j to 1 decimal place.
2.4
Let x = -0.1839418 - -0.1807. What is x rounded to four decimal places?
-0.0032
Let f = -161.3717 + 152.945. Let k = 8.4 + f. What is k rounded to 3 dps?
-0.027
Let b = -9874 - -14254. Suppose b = 125*w - 119*w. What is w rounded to the nearest 100?
700
Let s = -515371 + 515369.190316. Let z = s - -1.81. What is z rounded to 5 decimal places?
0.00032
Let h = -757224921900 + 757226670545.999998. Let q = h + -1748649. Let p = q - -3. Round p to five dps.
0
Let z = -14117.51 + 13939. Round z to the nearest 100.
-200
Let f be 10 - 18 - 7/(28/5607968). Round f to the nearest 100000.
-1400000
Let l = 2.3 - 63.3. Let t = -60.9712 - l. Let s = -0.032 + t. Round s to four dps.
-0.0032
Let p = 12144.599224 + -11979.599. Let q = 165 - p. Round q to 4 dps.
-0.0002
Suppose 5*o = 3*x - 32, 6*x - 2*x - 5*o = 36. Suppose 289408 = 123*v - 11*v. Suppose x*b = 4*c - 1475 - 605, -5*c + b = -v. Round c to the nearest 100.
500
Let m = 25.69 + -26.2312. Round m to 1 decimal place.
-0.5
Let p = 1.2731 - 1080.4731. What is p rounded to the nearest one thousand?
-1000
Let i = -0.115251 + -240.066749. Round i to the nearest integer.
-240
Let s = -1084 - -578. Let t = s + 506.0000054. What is t rounded to 5 dps?
0.00001
Let z(a) = -3625*a + 4360. Let i be z(14). Round i to the nearest 10000.
-50000
Suppose 3*u - 12 = -u - 3*v, 3*v + 3 = u. Suppose 3*b = -i + 83, u*i + 2*b - 259 = 3*b. Suppose 3*y - 295 - i = 0. What is y rounded to the nearest 10?
130
Let c = -19.7 + 21.15. Let t = 1.449969 - c. What is t rounded to five decimal places?
-0.00003
Let r be 8/(-52) + (-216215469)/(-13) - 2. Let h = 4568043 + r. Round h to the nearest one million.
21000000
Let j = -0.7048 - -3.5288. What is j rounded to 2 dps?
2.82
Let y = -25524 - -55344. Suppose -8*t + y = -99460. Suppose 0 = -7*r - r - t. What is r rounded to the nearest one hundred?
-2000
Let l = 4885 - 4891.36. What is l rounded to zero dps?
-6
Let p = 1091.8 - 1405. Let w = 303 + p. What is w rounded to the nearest 10?
-10
Let v = 440462 - 440278.983. Let p = 3.283 + v. Round p to the nearest 10.
190
Let r(h) = -2*h + 4*h - h + 1620000. Let m be r(0). Round m to the nearest one million.
2000000
Suppose -1484376 + 108456 = 13*k. Round k to the nearest ten thousand.
-110000
Suppose 2476302 = -59*p - 2725827 - 8676441. Round p to the nearest 10000.
-240000
Suppose 0 = 2709*k - 2733*k + 216456000. Round k to the nearest 100000.
9000000
Let u(c) = -3*c**3 - 40*c**2 + 69*c + 94. Let k be -1 + (2542/93)/(4/(-6)). Let z be u(k). Round z to the nearest ten thousand.
150000
Let q = 183296697804.999999891 - 183296697686. Let g = q - 119. What is g rounded to 7 dps?
-0.0000001
Let v = -7670 - -7660.412. Round v to one dp.
-9.6
Suppose 953108 = 3*i + 2*g, -107*i + 5*g = -110*i + 953120. What is i rounded to the nearest 10000?
320000
Let a = 123.8 - 123.84732. Round a to two dps.
-0.05
Let v = 108.9 + -114. Let d = -3485.7 - -3477. Let l = v + d. What is l rounded to the nearest integer?
-14
Let u = 464.6 - 464.6000039008. Round u to 6 decimal places.
-0.000004
Let t = -0.011523 + 0.360053. Let z = 0.3348 - t. Round z to four dps.
-0.0137
Let x = 94783.732059 + -94772.7. Let m = -12.2022 + x. Let i = -1.17 - m. What is i rounded to five decimal places?
0.00014
Let s
|
{
"pile_set_name": "DM Mathematics"
}
|
-117900 or -1179003/10?
-1179003/10
Which is smaller: -324391 or -324392?
-324392
Are 15006 and 15125 equal?
False
Which is smaller: -1.4 or -26355?
-26355
Is -18821 < 1?
True
Is -5/6 at most -9944?
False
Which is smaller: 944 or 423?
423
Are 1521215 and 1521214 non-equal?
True
Which is smaller: 1 or 7/1879114?
7/1879114
Which is greater: 0 or -1/130229?
0
Is 22/694003 > 1?
False
Is -63/140885 smaller than 1?
True
Which is bigger: 0.3 or -7212?
0.3
Which is greater: 34725 or 34724?
34725
Is 1 > -1/1041376?
True
Are -40 and 14846 non-equal?
True
Is 0 at most 2/328913?
True
Which is bigger: 0.4 or -26661?
0.4
Is 152137 at least 6?
True
Which is smaller: -5 or -9/3847?
-5
Which is greater: 245 or -204?
245
Which is bigger: 2/115 or 683/5?
683/5
Is 1931 > 182?
True
Is -8939 at most -42?
True
Are 223 and -135 non-equal?
True
Is 19495 >= 19486?
True
Which is bigger: -0.076 or 6/181?
6/181
Which is smaller: 13/8 or 9/8?
9/8
Which is smaller: -276 or 200?
-276
Which is greater: 42586 or 127759/3?
127759/3
Are 0.06 and -1791/11 non-equal?
True
Which is bigger: 2/15 or 6.687?
6.687
Is -4380 <= -4366?
True
Which is smaller: 6579/226 or 30?
6579/226
Is -71 less than or equal to -14/29?
True
Is 0 < 235/362?
True
Is 172771 < 172770?
False
Is -3254 > -3260?
True
Is 20201 < 20205?
True
Is 5463 at least as big as 5463?
True
Which is smaller: 3/2 or -128.7465?
-128.7465
Is -29635 equal to -29634?
False
Is -9052 less than -9053?
False
Which is smaller: -46735 or -46740?
-46740
Which is bigger: 12646/35 or 362?
362
Is -386686/13 > -29744?
False
Is -101356 greater than or equal to -101356?
True
Which is smaller: 129/127757 or 1?
129/127757
Which is smaller: 10448 or 10450?
10448
Which is smaller: -280673/2 or -140336?
-280673/2
Do -297306 and -297307 have the same value?
False
Is -24293 less than -24293?
False
Do 72082 and 72080 have different values?
True
Is -939 equal to -116?
False
Which is smaller: 197 or -0.125?
-0.125
Is -5678 at most as big as -5717?
False
Is -1 at most as big as -1/175020?
True
Is 2/93515 greater than 1/10?
False
Is -669/8248 greater than 0?
False
Is -3/80701 at least 1?
False
Does 0 = 1/367217?
False
Which is smaller: -682 or -739?
-739
Is -317/26 > -13?
True
Which is greater: 13905 or 41713/3?
13905
Which is greater: -67480 or -1/2?
-1/2
Is 62125 greater than or equal to 62123?
True
Which is bigger: -2000/9 or -2/11?
-2/11
Which is bigger: 944 or 4724/5?
4724/5
Which is bigger: 0.307829 or 0.2?
0.307829
Does -383/3801 = -1?
False
Is -170050 >= -170080?
True
Is 17558/5 at least 3511?
True
Are 578620 and 1157239/2 unequal?
True
Which is greater: 544 or -0.603?
544
Is 19/6120 less than 0?
False
Is -273780 smaller than -273782?
False
Are -164909 and -164907 nonequal?
True
Which is smaller: -2/1808589 or 0?
-2/1808589
Which is greater: -9364 or 4?
4
Is 1384 less than 23522/17?
False
Is -188 smaller than -303?
False
Is -399695 at most as big as -399695?
True
Which is greater: -430 or -4/3?
-4/3
Which is bigger: -1 or -1/229846?
-1/229846
Is 1 <= 4/82189?
False
Which is greater: -35/65736 or -1?
-35/65736
Is -123700 at least -371096/3?
False
Which is smaller: 1/19228 or 0?
0
Are 947235 and 947239 equal?
False
Which is greater: -502728 or -502730?
-502728
Which is bigger: -26/25 or -1/847?
-1/847
Which is greater: 11/2932 or 0?
11/2932
Is -5973 <= -5974?
False
Is -334 greater than -258?
False
Which is smaller: 148251 or 148252?
148251
Is 11692 > 11694?
False
Is -10032 smaller than -10607?
False
Which is smaller: 223460 or 223458?
223458
Is -5/215092 less than or equal to 1?
True
Which is smaller: -2/6643739 or 0?
-2/6643739
Which is greater: -1369 or -1366?
-1366
Which is bigger: -72 or 2322?
2322
Which is greater: -1 or -742?
-1
Which is greater: 269.673 or -2/7?
269.673
Is 2046 > 1.1?
True
Which is smaller: -3 or -446/111?
-446/111
Is 667821 greater than or equal to 667825?
False
Is -90160 > 69?
False
Are 4/345223 and 1 equal?
False
Which is smaller: -2208/131 or -18?
-18
Are 38706 and 38703 equal?
False
Which is smaller: -7 or 9153?
-7
Which is greater: -3/1759553 or -1?
-3/1759553
Is 154612 less than 154628?
True
Which is bigger: -1/84554 or 0?
0
Which is greater: -923/303 or -2?
-2
Is 149599 greater than or equal to 149600?
False
Is 3/112763 greater than or equal to -1?
True
Which is smaller: -189051 or -189053?
-189053
Which is smaller: 1168 or 16337/14?
16337/14
Is 24744 less than or equal to 24683?
False
Is -21 at most as big as -655/32?
True
Is -0.5547 >= 2?
False
Are 4 and 548/145 unequal?
True
Which is smaller: 1/4 or -335532?
-335532
Which is bigger: -474 or -340?
-340
Is -95757 at most -95756?
True
Is -6703 >= -6699?
False
Is 13299 < -6/7?
False
Is 56 bigger than 21756/395?
True
Which is smaller: -2/319101 or -1?
-1
Is 0.39 less than 9.317?
True
Is -5518 at least as big as -148948/27?
False
Does -347637 = -347636?
False
Which is bigger: 55678/13 or 4283?
4283
Does 124 = 6177?
False
Is -10971/2 at least -5487?
True
Is -442682 >= -442683?
True
Which
|
{
"pile_set_name": "DM Mathematics"
}
|
ing order.
-14, -5, -1, 0.1
Put -21.3, -0.1, -2, 2/5 in descending order.
2/5, -0.1, -2, -21.3
Sort 5, 7633, 3 in increasing order.
3, 5, 7633
Put -9, 2, 1/6 in decreasing order.
2, 1/6, -9
Put -1, 0, -5, 19 in ascending order.
-5, -1, 0, 19
Sort -2/3, -5, 14 in decreasing order.
14, -2/3, -5
Sort 5, 58, 2 in increasing order.
2, 5, 58
Put -2/9, 4/15, -0.3, 4 in increasing order.
-0.3, -2/9, 4/15, 4
Put 16, 2, -29, -2 in ascending order.
-29, -2, 2, 16
Put -4, 2/11, 24, 0.4 in descending order.
24, 0.4, 2/11, -4
Sort 4, 8, 156, -2, -4.
-4, -2, 4, 8, 156
Sort -5, -3, -1, 0 in decreasing order.
0, -1, -3, -5
Sort 5, 8, -5, -1 in increasing order.
-5, -1, 5, 8
Sort -12, 38, 0, 3, -1 in increasing order.
-12, -1, 0, 3, 38
Put 2, -1183, -3, 4 in increasing order.
-1183, -3, 2, 4
Put 0, -290, -70 in decreasing order.
0, -70, -290
Sort -3, 14, -4, 3/2, -3/5 in increasing order.
-4, -3, -3/5, 3/2, 14
Sort -275, 0, 3 in decreasing order.
3, 0, -275
Sort 4, -0.16, 0.2, 149, 1 in descending order.
149, 4, 1, 0.2, -0.16
Sort -4, 4, 17, 1, 0 in ascending order.
-4, 0, 1, 4, 17
Sort -41/2, 2, -2, 3 in descending order.
3, 2, -2, -41/2
Put -8, 3/10, -2/13 in increasing order.
-8, -2/13, 3/10
Sort -85, -0.02, 1.
-85, -0.02, 1
Put -34, -2/27, -4 in decreasing order.
-2/27, -4, -34
Sort -570, -3, 2, -1.
-570, -3, -1, 2
Put -3, 4, 2, -67 in increasing order.
-67, -3, 2, 4
Put -5, 7.1, 0.21 in ascending order.
-5, 0.21, 7.1
Sort -45, 4, -4, -2, -3.
-45, -4, -3, -2, 4
Sort -0.2, 0.03, 3/2, 0.04, -3/2 in ascending order.
-3/2, -0.2, 0.03, 0.04, 3/2
Sort -2, 4/5, -21, -7 in descending order.
4/5, -2, -7, -21
Put 0.2, -5203, 0.5 in descending order.
0.5, 0.2, -5203
Sort 4, -5, -4.
-5, -4, 4
Put -3, -6, -2, -4, 2 in decreasing order.
2, -2, -3, -4, -6
Sort 11, 0, -2 in decreasing order.
11, 0, -2
Put -0.1, 4/3, -5, 9, 0 in descending order.
9, 4/3, 0, -0.1, -5
Put -4, 0, -2, 4 in ascending order.
-4, -2, 0, 4
Sort 0, -2, 467, -9.
-9, -2, 0, 467
Sort -2, 1/13, 168, 5 in descending order.
168, 5, 1/13, -2
Sort -2, 1/2, -0.1, 2, 0.4 in increasing order.
-2, -0.1, 0.4, 1/2, 2
Sort 3, -0.5, -5, 5 in increasing order.
-5, -0.5, 3, 5
Sort -9, 3, -4, 12, 4 in descending order.
12, 4, 3, -4, -9
Sort 1, 6, -1 in descending order.
6, 1, -1
Put 4, 1/14, 0.5 in ascending order.
1/14, 0.5, 4
Sort 1, 2/17, -2/7, 0.5.
-2/7, 2/17, 0.5, 1
Sort -27.2, 0.05, -1 in increasing order.
-27.2, -1, 0.05
Sort 310, 3/2, 3, -1 in decreasing order.
310, 3, 3/2, -1
Put -2, 4, 2 in descending order.
4, 2, -2
Sort -4, 1, -104, 21, 5.
-104, -4, 1, 5, 21
Sort 606, 3, -5, -2 in decreasing order.
606, 3, -2, -5
Sort -4/7, 5/18, -12/7 in decreasing order.
5/18, -4/7, -12/7
Sort 355, 1, -4, 4 in ascending order.
-4, 1, 4, 355
Sort -5, -18, -2.
-18, -5, -2
Sort 2, -41, 4, -15 in decreasing order.
4, 2, -15, -41
Sort 3, -7.4, 1.
-7.4, 1, 3
Sort -1, 34, -5 in increasing order.
-5, -1, 34
Sort -0.23, 1/3, 4, -2 in decreasing order.
4, 1/3, -0.23, -2
Sort -4/7, 0.1, -7, 12.
-7, -4/7, 0.1, 12
Sort 1/4, 1/9, 437/4 in increasing order.
1/9, 1/4, 437/4
Put -2/3, 645, -3/4, 2 in increasing order.
-3/4, -2/3, 2, 645
Put -4/5, 3/4, 0.69, 0.3 in descending order.
3/4, 0.69, 0.3, -4/5
Put 5, 8, 7, -3 in increasing order.
-3, 5, 7, 8
Put 2, -6, -59, -5 in ascending order.
-59, -6, -5, 2
Sort -3, 5, -4 in descending order.
5, -3, -4
Sort -0.6, 0, 14.
-0.6, 0, 14
Put 3, 5, -4, -27 in ascending order.
-27, -4, 3, 5
Put -2, -50, 0 in ascending order.
-50, -2, 0
Sort 6, -7, -2, 3 in descending order.
6, 3, -2, -7
Sort -14, 5, 2/7, -2 in descending order.
5, 2/7, -2, -14
Put -1/11, 1/3, -0.08 in ascending order.
-1/11, -0.08, 1/3
Put 0, 3, 8, -10, -4 in ascending order.
-10, -4, 0, 3, 8
Sort -3, -1, -0.09 in descending order.
-0.09, -1, -3
Sort 33, -0.3, -1/5, -2/3, 1 in decreasing order.
33, 1, -1/5, -0.3, -2/3
Sort -4, -0.4, 0.4, -20.
-20, -4, -0.4, 0.4
Sort -3, -5, 8, 0, 15 in decreasing order.
15, 8, 0, -3, -5
Sort 3, -3, 8, 4 in descending order.
8, 4, 3
|
{
"pile_set_name": "DM Mathematics"
}
|
. Calculate k(f).
6
Let w(d) be the third derivative of -d**6/120 - 3*d**5/20 + 13*d**4/24 + 4*d**3/3 + 15*d**2 + 5. Calculate w(-10).
-22
Let c(i) = 9*i**3 - i**2 - i. Let t be ((-14)/21)/(2/3). Give c(t).
-9
Suppose -7*u + 8*u = 3. Let x(m) = -4*m**2 - 13 + 37 - 15 + 5*m + u*m**2. Calculate x(7).
-5
Let t(b) = -b**2 + 1. Let x(n) = n**2 + 12*n + 17. Let o(d) = 2*t(d) + x(d). Give o(13).
6
Let b(d) be the third derivative of -1/24*d**4 + 0*d + 0 + 2*d**3 + 40*d**2. Determine b(5).
7
Suppose 3*p - 5*i - 37 = -p, -2*p + 21 = -3*i. Let f(j) = -3*j**2 + 992*j + j**p - 992*j. Determine f(4).
16
Let y(x) = 6*x - 13. Let r be y(3). Let c(t) = -2*t + 3. Let f(l) = -l + 4. Let b(z) = r*f(z) - 6*c(z). Let p be (-1)/(1/(-2)) - 0. Calculate b(p).
16
Let z(i) = -i - 1. Let o(g) = -g**2 - 8*g + 7. Let k(u) = -o(u) + 2*z(u). Suppose -d - 42 = -34. Give k(d).
7
Let k = -573/2 - -290. Let b(c) be the second derivative of 1/20*c**5 + k*c**2 + 5/6*c**3 - 7/12*c**4 + 0 + 3*c. What is b(6)?
1
Let r(a) = 7*a**2 + 4*a + 2. Let p(j) = 3*j**2 + 2*j. Let i(b) = 5*p(b) - 2*r(b). Suppose 0*k - 20 = 5*k. What is i(k)?
4
Let q be 221/78 + 2/12. Let r(p) = 3*p**3 + 8*p**2 + 4*p. Let l(g) = -7*g**3 - 17*g**2 - 9*g. Let w(h) = 4*l(h) + 9*r(h). Give w(q).
9
Suppose 0 = -2*y - 3*k - 20, y + 5*k = 2*k - 13. Let x(l) = l + 4*l - l**2 - 35*l + 7*l + 7 + 16*l. Calculate x(y).
7
Suppose -k = 2 + 1. Let c be -1 - (-2 + 3/k). Let z(r) = -c - r - r**2 + 0*r**2 - 4*r + 4*r. Calculate z(0).
-2
Let n(g) = -7*g + 13. Let m(b) = 4*b - 7. Let u(z) = z**3 + 2*z**2 + 2*z + 1. Let y be u(-2). Let k(a) = y*n(a) - 5*m(a). What is k(-6)?
-10
Let p(f) = 5*f**2 + 2*f - 2. Let g(q) = -8*q - 90. Let h be g(-11). Determine p(h).
14
Let z(x) = -x. Suppose 2*l - 8 = 4*q + 4*l, 4*l = 16. Let i be (-2)/q - 18/(-4). Calculate z(i).
-5
Let p(o) = -7*o**3 + 2*o**2 + o. Suppose 0 = 5*l - 2 - 3. Let y be (-12)/(-20) + 115/(-25). Let f be 3/y + l/(-4). Calculate p(f).
8
Let r(s) = s**2 + 4*s + 3. Let q be -3 + 4 + 1 - -3. Suppose 11 - 61 = -q*d. Suppose -5*m + 10 = -d*m. Give r(m).
-1
Let s(v) be the third derivative of -v**6/120 + v**5/10 + 5*v**4/24 - v**3/2 - 45*v**2 - 1. Determine s(7).
-17
Let k(x) = 5*x - 16*x**2 + 15*x**2 + 1 - 2. Give k(5).
-1
Let n(w) = 7*w**3 - 3*w**2 + 3. Let m be 360/200*(-20)/(-6). Let x(z) = -20*z**3 + 8*z**2 + z - 8. Let d(k) = m*x(k) + 17*n(k). Determine d(-4).
-5
Let k = -19 + 20. Let x(z) = -k + 5*z + 188*z**2 - 185*z**2 - 2 - z**3. Calculate x(4).
1
Suppose -2*p = h + 30, p - 4*h = h - 4. Let k = -10 - p. Let v(x) = -x - 5*x - 28*x**2 + 26*x**2 + 1 + x**3. Determine v(k).
9
Suppose -4*v = 12, 5*v - 9 = -n - 18. Let m(k) = k**2 - 8*k + 7. What is m(n)?
-5
Let b(x) be the first derivative of x**5/60 + x**4/24 - 7*x**3/6 - 4*x**2 - 4. Let f(i) be the second derivative of b(i). Suppose 2*h = -2*h. Give f(h).
-7
Let y(d) = -12*d**3 + 9*d + 9. Let f(j) = 3*j**3 - 2*j - 2. Let t(x) = 18*f(x) + 4*y(x). Calculate t(-1).
-6
Let u = -7 - -10. Let c(x) be the first derivative of -5*x**3/6 + 4*x - 5. Let i(g) be the first derivative of c(g). Calculate i(u).
-15
Let q(r) = 3*r - 9. Let i(g) = 18 - 3*g - 9*g + 5*g. Let k(v) = -4*i(v) - 9*q(v). Let a(p) = -2*p**2 - 5*p - 4. Let d be a(-3). What is k(d)?
2
Suppose -2*f - 2*g - 24 = -3*g, 0 = -4*f - 2*g - 32. Let x be 48/f - (-1)/(-5). Let a(d) = -d**2 - 4*d + 1. Determine a(x).
-4
Let u(k) = 7*k**3 - 13*k**2 + k. Let r(v) = 13*v**3 - 25*v**2 + 3*v - 1. Let z(i) = 6*r(i) - 11*u(i). Suppose -5*x = -3*l - 27, 4*l = x + 3 - 5. Give z(x).
0
Let p(f) = 3 + 56*f**3 - 168*f**3 + 2*f + 0*f**2 + 62*f**3 + 3*f**2 + 52*f**3. What is p(-2)?
-5
Let m(o) = 2*o + 7. Let v be m(0). Let n(j) = 2*j - 140 + 67 + 77. Calculate n(v).
18
Let q(c) = -4*c - 4*c**2 + 73 - c**3 - 71 - 2*c**2. Suppose m = -3, -7 - 7 = 4*x - 2*m. What is q(x)?
-3
Let l(
|
{
"pile_set_name": "DM Mathematics"
}
|
ment from {q: 2, t: 1, w: 1, n: 3}. Give prob of picking 1 w and 1 t.
1/21
Four letters picked without replacement from ltlltllilill. What is prob of picking 2 i, 1 t, and 1 l?
16/495
What is prob of picking 3 j when three letters picked without replacement from {o: 1, w: 4, j: 3}?
1/56
Three letters picked without replacement from {a: 7, h: 3}. What is prob of picking 3 h?
1/120
Four letters picked without replacement from {p: 12, v: 2, q: 1, e: 3, a: 1}. What is prob of picking 3 p and 1 v?
110/969
Calculate prob of picking 1 c and 1 y when two letters picked without replacement from icciiiciciccccccyii.
10/171
Two letters picked without replacement from {i: 3, z: 5}. What is prob of picking 1 z and 1 i?
15/28
What is prob of picking 1 u and 2 p when three letters picked without replacement from {p: 3, u: 5}?
15/56
Two letters picked without replacement from {q: 3, c: 3}. Give prob of picking 1 q and 1 c.
3/5
Two letters picked without replacement from fcacn. Give prob of picking 1 n and 1 c.
1/5
What is prob of picking 1 s and 2 r when three letters picked without replacement from {v: 1, r: 4, s: 2}?
12/35
Calculate prob of picking 3 e and 1 k when four letters picked without replacement from rkrzbxexrxrxbebbe.
1/2380
What is prob of picking 2 l and 2 f when four letters picked without replacement from fflhsssfsll?
3/110
Three letters picked without replacement from {s: 13, n: 6}. What is prob of picking 3 n?
20/969
Calculate prob of picking 1 r, 1 n, and 2 h when four letters picked without replacement from {b: 1, h: 2, n: 1, m: 2, o: 1, r: 2}.
1/63
What is prob of picking 2 t when two letters picked without replacement from tttttttttttttttttjtt?
9/10
Two letters picked without replacement from {g: 4, x: 5, m: 2}. What is prob of picking 2 m?
1/55
What is prob of picking 1 r and 1 g when two letters picked without replacement from grclckl?
1/21
Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {x: 2, c: 2, e: 1}.
1/5
Two letters picked without replacement from qqquuumqqzququmuu. What is prob of picking 1 m and 1 z?
1/68
What is prob of picking 1 h and 3 d when four letters picked without replacement from {c: 1, l: 1, u: 9, d: 5, h: 1}?
1/238
Calculate prob of picking 2 x and 1 d when three letters picked without replacement from dxxd.
1/2
Three letters picked without replacement from vgifgiiidvovvo. Give prob of picking 1 i and 2 v.
6/91
Three letters picked without replacement from lllillll. Give prob of picking 3 l.
5/8
Two letters picked without replacement from {w: 6, h: 4, f: 4, p: 4}. What is prob of picking 2 p?
2/51
Two letters picked without replacement from nizeyenp. Give prob of picking 2 n.
1/28
Calculate prob of picking 2 v and 1 u when three letters picked without replacement from {u: 1, c: 1, v: 2}.
1/4
Calculate prob of picking 2 z when two letters picked without replacement from {a: 5, e: 3, z: 4}.
1/11
Calculate prob of picking 4 p when four letters picked without replacement from {p: 9, z: 2, q: 2}.
126/715
Two letters picked without replacement from mmmmmmffmm. Give prob of picking 2 m.
28/45
Four letters picked without replacement from wswkrwswwwsnssnnsnkw. What is prob of picking 2 n, 1 s, and 1 k?
24/1615
What is prob of picking 1 z, 2 f, and 1 w when four letters picked without replacement from fnozoozwswwfnfozw?
9/595
What is prob of picking 1 z and 2 t when three letters picked without replacement from {t: 4, z: 7}?
14/55
Two letters picked without replacement from feffffffffffefef. Give prob of picking 2 f.
13/20
Four letters picked without replacement from yojzoyri. Give prob of picking 2 y, 1 o, and 1 r.
1/35
Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {l: 7, m: 6, s: 6}.
14/57
Calculate prob of picking 1 h, 2 s, and 1 p when four letters picked without replacement from sttfshspttts.
2/165
Three letters picked without replacement from mkymmyymymmmmmsmksm. Give prob of picking 2 y and 1 m.
22/323
Calculate prob of picking 4 h when four letters picked without replacement from zzhzzzzzzhzhzhzzzh.
1/612
What is prob of picking 1 o and 1 t when two letters picked without replacement from {f: 1, t: 1, u: 1, n: 1, o: 1}?
1/10
Two letters picked without replacement from {n: 1, p: 4, u: 3}. What is prob of picking 1 n and 1 p?
1/7
What is prob of picking 3 d and 1 x when four letters picked without replacement from {x: 3, d: 13}?
33/70
Two letters picked without replacement from vxvvxxyyvyyuy. Give prob of picking 1 u and 1 v.
2/39
Two letters picked without replacement from jlljd. Give prob of picking 1 l and 1 d.
1/5
Calculate prob of picking 1 g and 3 b when four letters picked without replacement from {g: 4, b: 15}.
455/969
What is prob of picking 1 h, 1 y, 1 t, and 1 w when four letters picked without replacement from ywwwytywayyhayyaa?
1/85
Calculate prob of picking 2 v when two letters picked without replacement from {p: 1, m: 3, v: 2, e: 1}.
1/21
What is prob of picking 3 k when three letters picked without replacement from {e: 1, k: 3}?
1/4
Three letters picked without replacement from {j: 8, k: 7, n: 3}. Give prob of picking 2 n and 1 j.
1/34
Three letters picked without replacement from {p: 1, x: 2, k: 1, y: 4, g: 3}. What is prob of picking 1 p and 2 g?
1/55
What is prob of picking 1 p, 1 o, and 1 i when three letters picked without replacement from oyoipyvpyyoooppoppoo?
4/95
Three letters picked without replacement from {d: 4, u: 15}. Give prob of picking 3 u.
455/969
Two letters picked without replacement from {m: 5, h: 1, s: 1, c: 4}. Give prob of picking 2 m.
2/11
Two letters picked without replacement from {y: 3, x: 2}. Give prob of picking 1 x and 1 y.
3/5
Calculate prob of picking 1 l and 2 u when three letters picked without replacement from {l: 3, u: 2}.
3/10
Two letters picked without replacement from {b: 5, q: 3, x: 1, v: 2, i: 6}. What is prob of picking 2 i?
15/136
Two letters picked without replacement from {h: 1, p: 1, k: 1}. Give prob of picking 1 h and 1 p.
1/3
Calculate prob of picking 2 j and 2 k when four letters picked without replacement from {j: 1, z: 1, a: 1, d: 2, s: 1, k: 1}.
0
Two letters picked without replacement from {m: 2, c: 2, s: 2, e: 4}. Give prob of picking 1 m and 1 c.
4/45
What is prob of picking 2 n when two letters picked without replacement from eevnjn?
1/15
Two letters picked without replacement from khwwxwkkiwhwb. Give prob of picking 1 b and 1 i.
1/78
What is prob of picking 2 z and 1 a when three letters picked without replacement from ztziaitzaziztzazti?
21/272
What is prob of picking 1 u and 1 k when two letters picked without replacement from {u: 1, k: 4, p: 2
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(539) + -1)))*1.
-56*sqrt(11) + 6473
Simplify (((2*sqrt(576))/(sqrt(128)*2) - (2 + sqrt(72)*1)*3) + 4)**2 + 4.
66*sqrt(2) + 1105/2
Simplify 2 + 5*(4 + sqrt(72)*-1)**2 + -3*(sqrt(72) + 3)*4.
-312*sqrt(2) + 406
Simplify (-6*(sqrt(275) + -1) + sqrt(275) + -1 + 1 + sqrt(275) + sqrt(275) + sqrt(275))**2 - 4*-1*-6*sqrt(176).
-216*sqrt(11) + 1136
Simplify 2*-3*(sqrt(70)/(sqrt(2) + -2*sqrt(2)))/(sqrt(448) - (2*sqrt(448) + sqrt(448)))*2.
-3*sqrt(5)/4
Simplify (-5 + 6*(sqrt(450) + sqrt(450)*-3) + (sqrt(324)/(sqrt(9) + sqrt(36)/sqrt(4)) - sqrt(36))/sqrt(2))**2.
1815*sqrt(2) + 131819/2
Simplify ((-3*(sqrt(700) + 2) - (3*sqrt(700) + -3))*3 + (-4 + (sqrt(700) - 1*sqrt(700)) - -2*(0 + sqrt(700))))**2.
4160*sqrt(7) + 179369
Simplify (sqrt(2057)*-2*-2 + 0 + 4*sqrt(68)*-5*-5 + 0)**2.
1012112
Simplify -2*3*(-5 + (sqrt(4212) - (sqrt(4212) + -1)) + -4) + 2 + 1.
51
Simplify ((sqrt(128) + -1*sqrt(128))/sqrt(8) - sqrt(32)/(sqrt(6)/sqrt(3)))/(sqrt(288)*-3 + sqrt(288) + -3*sqrt(288)).
sqrt(2)/30
Simplify 4*((sqrt(72) + sqrt(72) + sqrt(72)*-1 + sqrt(72))/sqrt(9))/(-4*sqrt(12)/sqrt(3)) + (5*(0 + sqrt(2) + (sqrt(8) - sqrt(2)) - (sqrt(162) + 0)) + 3)**2.
-212*sqrt(2) + 2459
Simplify -4*6*((sqrt(1088) + ((sqrt(1088) + sqrt(1088) + 1)*-3)**2 - (sqrt(1088) + 1)*6) + -6*(-1*sqrt(1088))**2 + 1).
-783456 - 5952*sqrt(17)
Simplify 6*(-2*(sqrt(224) + (sqrt(224) - (sqrt(224) - sqrt(224)*-1) - sqrt(224))))/(sqrt(112)*4).
3*sqrt(2)
Simplify (5 + 2 + -3*sqrt(1088)*-2 + (-1 + -2*sqrt(1088))*-3*-1)**2.
16
Simplify (((1*sqrt(847) + 1 - (sqrt(847)*2 + 3)) + 2 + 1 + sqrt(847) + sqrt(847) + -1)*-2)**2 + -5.
3383
Simplify -2*(-4*sqrt(2106)*-4)/((4*2*sqrt(10))/sqrt(5))*-3.
108*sqrt(13)
Simplify (0 + 6*(4 + (sqrt(17) - (sqrt(17) + 2)*3)))**2 + (1*sqrt(2057)*-2 - (sqrt(2057) + 0)*5).
211*sqrt(17) + 2592
Simplify -2 + -2 + sqrt(1872) + 5*sqrt(26)/sqrt(2) + (sqrt(143)/sqrt(99) - -1*sqrt(39)/sqrt(3)).
-4 + 55*sqrt(13)/3
Simplify (0 + sqrt(17))*-1*3 + ((sqrt(204) - (sqrt(204) + (3*1*sqrt(204) - sqrt(204)) + sqrt(204))) + sqrt(204))/sqrt(12) - (-2 + 5*(sqrt(1700)*-2 + -4)).
22 + 95*sqrt(17)
Simplify 1 + ((-1*sqrt(90)/sqrt(5)*2)/(sqrt(18)/(sqrt(3)*1) - sqrt(24)/sqrt(36)))**2.
28
Simplify ((((sqrt(3136)*-1)/sqrt(7) - 5*(sqrt(7) - (sqrt(7) - (1 + sqrt(7) + 1 + sqrt(7))))) + -3)*-6)**2*2.
33696*sqrt(7) + 175464
Simplify 5*(0 + sqrt(2057) + sqrt(2057) + -2 + -5)**2 + (-2*sqrt(34)/sqrt(2) + (sqrt(612) + 0)**2 - 3*(sqrt(1088) - sqrt(1088)*2)).
-1518*sqrt(17) + 41997
Simplify (-4*(0 + 2 + -2 + (sqrt(44) - (sqrt(44) + -2)) + (-5 + sqrt(704) - (-2 + sqrt(2156)))))**2.
192*sqrt(11) + 6352
Simplify ((sqrt(468)*-3)**2*6 - (2 + (sqrt(468) - (sqrt(468) + sqrt(468)*4)))**2) + (((4*sqrt(468) + sqrt(468))*-6)**2 + sqrt(468) - (2*sqrt(468) + 1)**2).
78*sqrt(13) + 437107
Simplify 3*((1*sqrt(190)*2 + sqrt(190) - (1*sqrt(190) - sqrt(190))*-1)/(sqrt(30)/(sqrt(108) + sqrt(108)*1 + sqrt(108))))**2*-6*4.
-3989088
Simplify (-1*2*sqrt(2541)*-1)/((-1*sqrt(147) + sqrt(147) + sqrt(147) - sqrt(147) - sqrt(147))*1*-5).
22*sqrt(7)/35
Simplify sqrt(5) + -4 + 1 + (sqrt(15)/(-5*sqrt(3)))**2 + (-5*2*sqrt(1620))**2.
sqrt(5) + 809986/5
Simplify -4*(sqrt(108)/(sqrt(18)/sqrt(9) + sqrt(2)))/(sqrt(288) + (1*sqrt(288)*1 - sqrt(288))).
-sqrt(3)/2
Simplify (4*(-2 + 1 + sqrt(162) + -2) - -3*((-5 + (sqrt(162) + sqrt(162)*-3 - sqrt(162) - sqrt(162)) - sqrt(162)) + -1))**2.
5940*sqrt(2) + 20502
Simplify -5*(-3 + 3 + (sqrt(1008) + sqrt(1008) + 2)**2 - ((sqrt(1008) + -1)*5 + sqrt(1008) + 0)**2).
-4080*sqrt(7) + 161385
Simplify 4*-6*4*(sqrt(153) - (sqrt(153) + 0))*4*-4 + 4.
4
Simplify 3*(4*sqrt(65)*-1 + sqrt(65) - -5*(sqrt(65) - (sqrt(65)*-1 - sqrt(65)) - sqrt(65)))/(((sqrt(135)*2)/sqrt(3))/(-2*sqrt(144) - sqrt(9))).
-189*sqrt(13)/2
Simplify (((sqrt(38)/(sqrt(2)*-2) + sqrt(19) + 5*sqrt(19)*-1 - (sqrt(19) + (-2*sqrt(228))/sqrt(12) + -2)) + 3)*4 + -5)**2*-3.
-11847 + 1260*sqrt(19)
Simplify (5 + (0 + (-1 + 1 + sqrt(117))*2*-4*5*-4)*-1)**2.
-4800*sqrt(13) + 2995225
Simplify (-5 + (3*sqrt(5) + sqrt(5) - sqrt(5) - sqrt(5)))*5 + 5 + -1*(sqrt(45)*-2 + (sqrt(125) + 0 + sqrt(125) + sqrt(125))**2).
-1145 + 16*sqrt(5)
Simplify (((sqrt(99) + sqrt(99) + (sqrt(99)*-3 - sqrt(99)))*-4)/sqrt(11))/(6*-1*sqrt(12)).
-2*sqrt(3)/3
Simplify (-3*sqrt(756)*-4 + -1*(sqrt(756) - (sqrt(756) + -3*sqrt(756))))/(-2*2*sqrt(300) - -1*-2*sqrt(300)).
-9*sqrt(7)/10
Simplify (6*5*(0 + sqrt(432)))**
|
{
"pile_set_name": "DM Mathematics"
}
|
nutes are there between 5:59 AM and 7:21 AM?
82
What is 102 minutes after 10:37 PM?
12:19 AM
How many minutes are there between 11:56 PM and 4:59 AM?
303
How many minutes are there between 1:16 AM and 1:56 AM?
40
What is 624 minutes before 9:46 PM?
11:22 AM
How many minutes are there between 12:54 PM and 7:42 PM?
408
How many minutes are there between 3:04 PM and 9:42 PM?
398
How many minutes are there between 3:28 PM and 4:16 PM?
48
How many minutes are there between 1:13 AM and 7:54 AM?
401
What is 514 minutes after 7:50 AM?
4:24 PM
How many minutes are there between 4:37 PM and 10:48 PM?
371
What is 401 minutes before 3:45 PM?
9:04 AM
How many minutes are there between 7:30 AM and 2:53 PM?
443
How many minutes are there between 4:37 PM and 7:10 PM?
153
What is 414 minutes after 9:38 AM?
4:32 PM
What is 558 minutes before 11:00 AM?
1:42 AM
How many minutes are there between 4:25 AM and 9:16 AM?
291
How many minutes are there between 1:13 PM and 7:12 PM?
359
What is 291 minutes before 9:32 PM?
4:41 PM
How many minutes are there between 10:24 PM and 8:13 AM?
589
What is 703 minutes before 12:21 PM?
12:38 AM
What is 623 minutes before 9:24 PM?
11:01 AM
What is 643 minutes after 7:19 PM?
6:02 AM
How many minutes are there between 6:25 AM and 7:28 AM?
63
What is 63 minutes before 2:05 AM?
1:02 AM
What is 317 minutes before 8:11 AM?
2:54 AM
How many minutes are there between 5:20 PM and 7:41 PM?
141
What is 685 minutes after 6:31 PM?
5:56 AM
How many minutes are there between 7:35 PM and 12:26 AM?
291
What is 318 minutes before 11:50 AM?
6:32 AM
What is 238 minutes after 3:55 PM?
7:53 PM
How many minutes are there between 1:13 AM and 1:48 AM?
35
What is 631 minutes before 9:59 PM?
11:28 AM
What is 470 minutes after 9:51 AM?
5:41 PM
What is 40 minutes before 7:28 AM?
6:48 AM
How many minutes are there between 2:03 AM and 3:05 AM?
62
What is 609 minutes before 1:59 PM?
3:50 AM
What is 482 minutes before 4:34 AM?
8:32 PM
How many minutes are there between 2:19 AM and 12:29 PM?
610
How many minutes are there between 11:18 PM and 3:44 AM?
266
How many minutes are there between 12:30 AM and 5:43 AM?
313
What is 470 minutes before 9:22 PM?
1:32 PM
What is 270 minutes before 7:40 AM?
3:10 AM
How many minutes are there between 1:37 PM and 2:21 PM?
44
What is 325 minutes after 6:27 AM?
11:52 AM
What is 418 minutes after 10:32 AM?
5:30 PM
How many minutes are there between 1:24 AM and 4:41 AM?
197
What is 195 minutes after 10:03 AM?
1:18 PM
What is 430 minutes before 8:15 AM?
1:05 AM
What is 710 minutes before 3:42 AM?
3:52 PM
How many minutes are there between 8:26 PM and 1:19 AM?
293
What is 359 minutes before 2:52 AM?
8:53 PM
How many minutes are there between 7:04 AM and 2:32 PM?
448
What is 560 minutes after 1:53 PM?
11:13 PM
How many minutes are there between 2:24 PM and 7:01 PM?
277
How many minutes are there between 5:15 AM and 7:32 AM?
137
How many minutes are there between 3:59 AM and 11:46 AM?
467
What is 270 minutes before 2:09 PM?
9:39 AM
How many minutes are there between 8:15 PM and 1:35 AM?
320
How many minutes are there between 2:35 AM and 7:35 AM?
300
How many minutes are there between 6:55 AM and 7:39 AM?
44
What is 669 minutes after 2:35 PM?
1:44 AM
What is 277 minutes after 5:21 PM?
9:58 PM
How many minutes are there between 8:21 AM and 8:30 AM?
9
How many minutes are there between 3:04 PM and 9:32 PM?
388
What is 482 minutes after 6:15 AM?
2:17 PM
What is 586 minutes after 11:54 PM?
9:40 AM
How many minutes are there between 1:34 AM and 2:23 AM?
49
What is 505 minutes before 11:27 AM?
3:02 AM
How many minutes are there between 9:22 PM and 5:10 AM?
468
What is 705 minutes after 2:40 PM?
2:25 AM
How many minutes are there between 12:28 PM and 2:10 PM?
102
What is 591 minutes before 5:17 AM?
7:26 PM
How many minutes are there between 4:10 AM and 11:29 AM?
439
What is 470 minutes before 9:24 AM?
1:34 AM
What is 501 minutes after 11:03 AM?
7:24 PM
How many minutes are there between 11:34 AM and 4:23 PM?
289
How many minutes are there between 12:19 AM and 7:47 AM?
448
What is 170 minutes after 12:43 PM?
3:33 PM
How many minutes are there between 3:55 PM and 10:49 PM?
414
How many minutes are there between 6:54 AM and 12:36 PM?
342
How many minutes are there between 5:46 AM and 9:57 AM?
251
How many minutes are there between 1:19 AM and 11:37 AM?
618
How many minutes are there between 9:04 AM and 7:40 PM?
636
How many minutes are there between 2:37 AM and 12:32 PM?
595
How many minutes are there between 4:48 PM and 12:00 AM?
432
How many minutes are there between 3:21 AM and 2:31 PM?
670
What is 661 minutes after 4:22 AM?
3:23 PM
What is 295 minutes before 9:46 PM?
4:51 PM
How many minutes are there between 7:16 PM and 9:32 PM?
136
What is 59 minutes before 10:17 PM?
9:18 PM
How many minutes are there between 7:10 AM and 6:25 PM?
675
What is 692 minutes after 3:49 AM?
3:21 PM
What is 652 minutes before 6:52 PM?
8:00 AM
What is 152 minutes before 6:27 PM?
3:55 PM
What is 59 minutes before 1:48 AM?
12:49 AM
How many minutes are there between 2:16 PM and 7:05 PM?
289
What is 386 minutes after 11:47 PM?
6:13 AM
What is 300 minutes after 10:34 AM?
3:34 PM
How many minutes are there between 10:06 AM and 5:00 PM?
414
What is 564 minutes after 8:29 AM?
5:53 PM
How many minutes are there between 8:18 AM and 7:55 PM?
697
What is 373 minutes after 7:23 PM?
1:36 AM
What is 387 minutes before 12:54 PM?
6:27 AM
How many minutes are there between 10:23 AM and 6:34 PM?
491
What is 587 minutes before 1:49 AM?
4:02 PM
How many minutes are there between 5:24 AM and 7:49 AM?
145
What is 111 minutes after 4:25 PM?
6:16 PM
How many minutes are there between 4:10 AM and 1:58 PM?
588
How many minutes are there between 11:41 AM and 7:18 PM?
457
How many minutes are there between 6:19 PM and 11:42 PM?
323
How many minutes are there between 4:50 PM and 1:12 AM?
502
What is 270 minutes after 10:17 PM?
2:47 AM
What is 557 minutes after 1:26 PM?
10:43 PM
What is 556 minutes before 6:41 PM?
9:25 AM
What is 680 minutes before 8:09 AM?
8:49 PM
How many minutes are there between 8
|
{
"pile_set_name": "DM Mathematics"
}
|
factor of 98 and 1134.
14
What is the highest common divisor of 48 and 26808?
24
Calculate the greatest common divisor of 375 and 50.
25
What is the highest common divisor of 198 and 7029?
99
What is the highest common divisor of 116 and 1885?
29
What is the greatest common divisor of 1015 and 175?
35
Calculate the highest common factor of 68 and 119.
17
Calculate the highest common factor of 25 and 3625.
25
Calculate the highest common divisor of 58 and 4379.
29
Calculate the highest common divisor of 139 and 2641.
139
What is the greatest common factor of 1309 and 1386?
77
Calculate the highest common factor of 12 and 42.
6
Calculate the highest common divisor of 245 and 49.
49
What is the greatest common factor of 153 and 5916?
51
Calculate the greatest common factor of 28 and 42.
14
Calculate the greatest common divisor of 54 and 1728.
54
Calculate the highest common factor of 125 and 500.
125
Calculate the greatest common factor of 6 and 2.
2
What is the greatest common factor of 7 and 14?
7
What is the highest common factor of 129 and 172?
43
Calculate the highest common factor of 81 and 297.
27
Calculate the highest common divisor of 873 and 97.
97
What is the greatest common factor of 21 and 17241?
21
Calculate the highest common divisor of 18 and 46.
2
What is the greatest common factor of 30 and 66?
6
What is the greatest common divisor of 16 and 26?
2
Calculate the highest common factor of 47 and 2256.
47
What is the greatest common divisor of 272 and 336?
16
What is the greatest common factor of 232 and 244?
4
What is the greatest common factor of 21618 and 36?
18
What is the highest common divisor of 700 and 625?
25
Calculate the greatest common factor of 75 and 15.
15
Calculate the highest common divisor of 83 and 913.
83
What is the greatest common divisor of 15 and 320?
5
What is the highest common divisor of 640 and 240?
80
Calculate the greatest common divisor of 90 and 6.
6
Calculate the highest common factor of 147 and 1029.
147
What is the greatest common factor of 247 and 13?
13
Calculate the greatest common divisor of 8448 and 99.
33
What is the greatest common divisor of 38 and 76?
38
Calculate the greatest common divisor of 24 and 9.
3
What is the highest common factor of 75 and 207?
3
Calculate the highest common factor of 2410 and 10.
10
What is the highest common divisor of 1100 and 88?
44
What is the greatest common divisor of 77 and 133?
7
What is the greatest common divisor of 513 and 81?
27
Calculate the greatest common factor of 208 and 32.
16
What is the greatest common divisor of 624 and 96?
48
Calculate the highest common factor of 45 and 150.
15
What is the greatest common factor of 340 and 2500?
20
Calculate the highest common divisor of 1640 and 30.
10
Calculate the greatest common divisor of 190 and 65.
5
What is the highest common divisor of 558 and 62?
62
Calculate the highest common factor of 2024 and 1748.
92
Calculate the highest common factor of 38 and 16.
2
What is the greatest common factor of 17015 and 166?
83
Calculate the greatest common factor of 2484 and 108.
108
Calculate the greatest common factor of 48 and 240.
48
What is the highest common factor of 42 and 114?
6
Calculate the highest common divisor of 200 and 10100.
100
What is the highest common factor of 105 and 30?
15
Calculate the greatest common divisor of 66 and 407.
11
What is the greatest common factor of 1679 and 46?
23
Calculate the greatest common factor of 84 and 2688.
84
What is the greatest common divisor of 847 and 275?
11
Calculate the greatest common divisor of 393 and 131.
131
What is the highest common divisor of 88 and 24200?
88
Calculate the greatest common divisor of 63 and 672.
21
Calculate the highest common divisor of 4046 and 5474.
238
What is the greatest common divisor of 335 and 10?
5
Calculate the highest common divisor of 22308 and 312.
156
What is the highest common factor of 48 and 2032?
16
Calculate the highest common divisor of 1146 and 138.
6
Calculate the highest common factor of 10 and 1490.
10
What is the highest common factor of 2354 and 22?
22
Calculate the highest common factor of 7 and 511.
7
Calculate the greatest common factor of 3043 and 51.
17
Calculate the highest common factor of 76 and 9196.
76
What is the greatest common divisor of 2624 and 128?
64
What is the greatest common divisor of 25 and 55?
5
What is the greatest common divisor of 363 and 11?
11
What is the greatest common divisor of 65 and 195?
65
What is the highest common divisor of 27 and 783?
27
What is the highest common divisor of 309 and 1133?
103
What is the highest common divisor of 2056 and 2313?
257
What is the highest common factor of 52 and 286?
26
Calculate the greatest common factor of 2304 and 6.
6
Calculate the highest common factor of 2175 and 1350.
75
Calculate the highest common divisor of 265 and 33920.
265
Calculate the highest common factor of 160 and 4160.
160
What is the highest common factor of 133 and 19?
19
What is the greatest common divisor of 16 and 536?
8
Calculate the highest common divisor of 26 and 182.
26
Calculate the highest common divisor of 72 and 32.
8
What is the highest common factor of 2 and 8?
2
Calculate the greatest common factor of 37 and 8473.
37
What is the highest common factor of 202 and 36?
2
What is the highest common factor of 578 and 29767?
289
Calculate the highest common factor of 41 and 205.
41
What is the highest common divisor of 98 and 1365?
7
Calculate the highest common factor of 3224 and 4712.
248
What is the highest common factor of 220 and 4460?
20
What is the greatest common factor of 424 and 11978?
106
What is the greatest common factor of 11 and 38291?
11
What is the greatest common factor of 47 and 47?
47
What is the highest common divisor of 576 and 396?
36
Calculate the highest common divisor of 9447 and 282.
141
Calculate the greatest common divisor of 770 and 836.
22
What is the greatest common factor of 1170 and 144?
18
Calculate the highest common factor of 10 and 2630.
10
What is the highest common divisor of 2 and 22?
2
What is the greatest common factor of 267 and 623?
89
Calculate the highest common factor of 190 and 19.
19
What is the greatest common divisor of 850 and 102?
34
What is the highest common factor of 44 and 4378?
22
Calculate the greatest common factor of 55 and 4895.
55
What is the greatest common factor of 19 and 1558?
19
Calculate the highest common divisor of 4420 and 765.
85
Calculate the highest common divisor of 10 and 490.
10
Calculate the greatest common factor of 116 and 16.
4
What is the highest common divisor of 318 and 18?
6
Calculate the greatest common factor of 10277 and 172.
43
Calculate the highest common factor of 175 and 315.
35
Calculate the highest common divisor of 406 and 116.
58
Calculate the highest common factor of 11 and 1331.
11
Calculate the highest common divisor of 76 and 266.
38
Calculate the greatest common divisor of 30 and 345.
15
Calculate the highest common factor of 240 and 320.
80
What is the highest common divisor of 904 and 72?
8
What is the highest common divisor of 96 and 120?
24
Calculate the greatest common factor of 34 and 595.
17
What is the greatest common factor of 198 and 114?
6
Calculate the greatest common divisor of 63 and 189.
63
What is the greatest common factor of 105 and 651?
21
Calculate the greatest common divisor of 2095 and 5.
5
Calculate the greatest common divisor of 84 and 276.
12
What is the greatest common divisor of 8 and 72?
8
What is the greatest common divisor of 46575 and 810?
405
What is the greatest common divisor of 384 and 108?
12
Calculate the highest common divisor of 2583 and 28.
7
What is the highest common factor of 519 and 1211?
173
What is the greatest common factor of 3894 and 429?
33
Calculate the greatest common divisor of 2 and 514.
2
Calculate the greatest common factor of 583 and 159.
53
What is the greatest common divisor of 16 and 400?
16
Calculate the highest common factor of 12765 and 30.
15
Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
(-29*p - 4212 + 8429 - 4211) to n*p + l + h*p**2 + u*p**3 and give h.
-162
Rearrange (-192 + 496 - 201 - 104 + 581*i)*(2*i - i - 3*i) to the form o + l*i + h*i**2 and give h.
-1162
Rearrange (4*r**3 - 5*r**3 - 3*r**3)*(-22*r - 35*r + 25*r + 3*r + 0*r - 2*r + (3*r + 0*r + 0*r)*(-1 + 5 - 3)) to j + v*r**2 + d*r**3 + m*r**4 + y*r and give m.
112
Rearrange 419*u**4 - 4*u**3 - 858*u**4 - 4*u**2 + 443*u**4 to t*u + f*u**3 + p*u**4 + n + o*u**2 and give o.
-4
Rearrange -69 - 10*a - 43 + 213 - 29 + 16 to g + j*a and give j.
-10
Express -111700546 + 43028*b**2 + 111700546 as p + f*b + m*b**2 and give m.
43028
Rearrange (-151 + 151 + n**2)*(2*n - 1 + 5*n - 5*n + (-n - n - 5*n)*(10 + 1 + 1)) to z*n + u*n**3 + f*n**2 + y and give u.
-82
Rearrange 1056*j - 530*j + 123*j**2 - 535*j + (j - 6*j + 4*j)*(-1 + 1 + j) to the form t + l*j**2 + p*j and give p.
-9
Rearrange -5*c**2 - 6*c**4 - 228 - 3*c**2 - 9*c**3 + 228 + 11*c**3 to j + i*c + b*c**4 + t*c**2 + x*c**3 and give x.
2
Express 87 + 22*f**2 + 25*f**2 + 0*f**3 + f**3 - 49*f**2 in the form j*f**2 + z + t*f**3 + r*f and give t.
1
Express (0 - 6 + 1)*(5*o**2 + 12*o**2 - 5*o**2) + (5*o + o - 4*o)*(0*o + 3*o - 4*o) as s*o + k + u*o**2 and give u.
-62
Rearrange -4*p**2 + 233*p + 150*p + 61*p to h*p + m*p**2 + f and give h.
444
Express 20*k**3 + 193*k**4 + 199*k**4 - k**2 + 358*k - 2 - 385*k**4 - 354*k as t*k**4 + d*k**3 + i*k + j*k**2 + q and give j.
-1
Express (-262 + 730 + 432)*(0*r - 2*r + 0*r)*(-r + 2*r**3 + r) in the form l*r**3 + k*r**2 + p*r + c*r**4 + a and give c.
-3600
Express (7 + 1 - 1)*(24 + 35 + 33)*(9*g + 7*g - 6*g) as j*g + a and give j.
6440
Express 4546*q**3 - 4545*q**3 - q - 1 + 6*q + 78*q**2 in the form f + s*q + z*q**2 + g*q**3 and give s.
5
Rearrange (27*g - 17*g + 294*g)*(6*g**2 - 2*g**2 + 0*g**2) to the form r*g**3 + y + l*g**2 + f*g and give r.
1216
Express (-o - 7 + 7)*(38*o**2 + 62*o**2 - 19*o**2)*(12 - 12 + 7*o) as w*o**4 + j*o**3 + g*o**2 + s*o + h and give w.
-567
Express 6*j**3 - 953 + 1360 - 4*j**3 - 2*j + (4*j**2 - 4*j**2 - 2*j**2)*(-2*j - 4*j + 4*j) as v*j**3 + r*j**2 + g*j + p and give v.
6
Express (-1 + 1 - 2*s**2)*(3 + 0 - 5) - s**2 + 2*s**2 - 2*s**2 - 19 - 238013*s**2 - 238008*s**2 + 12*s + 476010*s**2 as z*s**2 + b + p*s and give p.
12
Express -218*d**2 + 258*d**3 + 28*d**2 + 5*d**4 - 256*d**3 - d - 7*d**4 in the form x*d + c*d**3 + u + s*d**4 + o*d**2 and give x.
-1
Rearrange (85*i + 119*i**2 - 64*i - 19*i)*(0 + 11*i - 6*i + 1) to l*i + w*i**3 + c*i**2 + u and give w.
595
Rearrange n**2 - 1312*n - 1226*n + 2205*n to the form o + u*n + f*n**2 and give u.
-333
Rearrange -128537*u**2 + 128537*u**2 + 557*u**3 + (-8*u - 2*u**2 + 8*u)*(-2*u + 2 - 2) to the form s*u**3 + l*u + x + c*u**2 and give s.
561
Express (3*k + 7*k + 2*k)*(k - 2*k + 3*k) + 3 + 2*k**2 - 3 + (0 + 6 + 7)*(0*k - 4*k + 2*k)*(0*k + 4*k - 2*k)*(-2 - 1 - 5) as q + z*k**2 + m*k and give z.
442
Rearrange -287*t**2 - t**3 + t + 11378 + 2*t**3 - 5688 - 5690 to h + v*t**3 + w*t**2 + u*t and give h.
0
Express -24*y + 91*y - 43*y - 40*y + 81 as g + u*y and give u.
-16
Express 896*s - 3715*s - 2228*s in the form b + o*s and give b.
0
Express (2 - 3 + 3)*(-7*b - b - b) - 4*b - 2*b + 5*b + 429*b - 95*b - 5 - 14 + 19 in the form n + o*b and give o.
315
Rearrange (11819*n + 571 + 609 + 47331*n - 1180)*(-n - 3*n + 6*n) to the form g*n**2 + y + p*n and give g.
118300
Express 14596 + 5*g**2 - 159*g - 7315 - 7281 as a*g + d + p*g**2 and give p.
5
Express -6*i**2 + 1213 - 606 + 61*i - 607 in the form g*i + u + f*i**2 and give u.
0
Express (3*c - 4*c - c)*((1 + 0 - 2)*(-5 - 5*c - 2*c + 3) + (14 + 6 - 4)*(0*c - 6*c - 4*c)) - 3*c**2 + 0 + 0 in the form o*c + p*c**2 + h and give o.
-4
Rearrange 271 + 0*p + 23*p**2 + 25*p**2 - 3*p - 288 - 47*p**2 to the form v + t*p + x*p**2 and give t.
-3
Rearrange 38*x**2 + 10*x**3 + x - 142*x**2 + 2*x**4 - 1 + 48*x**2 + 54*x**2 to the form y*x + s*x**2 + p + z*x**4 + c*x**3 and give y.
1
Rearrange -8*w**2 + 39*w**2 + 30*w -
|
{
"pile_set_name": "DM Mathematics"
}
|
e -105 = -5*b + 5*s, -4*b + p*s + 42 + 45 = 0. What are the prime factors of b?
2, 3
Let q = -42323 - -108155. List the prime factors of q.
2, 3, 13, 211
Let r = -10 + 40. Suppose -t + 10 = -3*y - 0*t, 5*t + r = -y. List the prime factors of y/(-15) + (-96)/(-9) + -2.
3
Let x(w) = 13*w**2 + w - 609. What are the prime factors of x(-23)?
5, 1249
Let x(t) = 121*t - 48. Suppose -6*i = -2*v - 2*i + 10, -2*v - 2*i + 16 = 0. What are the prime factors of x(v)?
17, 47
Let l = 3766 + -813. List the prime factors of l.
2953
Let l be (14 - 4)/((-1)/(2*-16)). Suppose -3*d = d - l. Suppose -3*p - 305 = -5*i + i, -i - 3*p + d = 0. What are the prime factors of i?
7, 11
Let k = -1117 - -2306. List the prime factors of k.
29, 41
Suppose -5*n + 2 = -13. Let v be (4/(-16) - (-5)/4)*n. Suppose -2*f = 5*h + f - 258, 5*f + 148 = v*h. What are the prime factors of h?
3, 17
Suppose 60*i + 3720149 = 223*i. List the prime factors of i.
29, 787
Let h(x) = 7*x**2 + 5*x + 17. Let i be h(-11). Suppose v + 2*s + s = 402, s = -2*v + i. List the prime factors of v.
3, 5
Let n(w) = 3*w**2 + 2*w - 1. Let v be n(1). Suppose -5*z + 2*o - 55 = v*o, 4*z = 2*o - 62. Let i = 30 + z. List the prime factors of i.
17
Suppose -70*a + 155*a - 32269 = 62*a. What are the prime factors of a?
23, 61
Suppose 5*h + 3003 = 18*h. What are the prime factors of h - (-4 - (3 + -3))?
5, 47
Suppose 3*q + 230 = 2*b + 7*q, -b + q = -103. Suppose 3720 = b*p - 104*p. List the prime factors of p.
2, 5, 31
Let l(i) = -233*i + 4628. List the prime factors of l(0).
2, 13, 89
Let t(v) = -21*v**3 + 5*v**2 + 36*v + 198. What are the prime factors of t(-14)?
2, 103, 283
Suppose -436*n + 262908 = -871*n + 441*n. What are the prime factors of n?
2, 3, 67, 109
Let o = 77 - 61. Suppose -4*l - 15768 = -o*l. Suppose -10*u + l = -446. What are the prime factors of u?
2, 11
Let r(h) = -h**3 - h**2 + 2*h + 9. Let v be r(0). Let x be (1/(-2))/(7/(-308)). Let u = v + x. List the prime factors of u.
31
Suppose o = 3*r + 6 - 3, -3*o - 3 = 3*r. Suppose 0*j = c - j - 5, -2*c - 4*j - 2 = o. Suppose 5*n - 53 = -q, -n - 95 = -c*q - 0*q. List the prime factors of q.
3, 11
Let r(a) = 178*a**3 - 5*a**2 + 12*a + 13. List the prime factors of r(3).
2, 5, 13, 37
Let u = 32775 + -13155. List the prime factors of u.
2, 3, 5, 109
Let a be ((-12)/3 - (-14)/3)*3. Suppose x - a*x = -35. List the prime factors of (42/4)/(x/(-18) - -2).
3, 7
Let m(w) = 50*w**2 - 54*w + 5. What are the prime factors of m(-24)?
31, 971
Let h(z) = -58*z - 19*z**2 - 13 + 26*z - 3*z**3 - z**3 + 12*z. What are the prime factors of h(-9)?
2, 193
Let i(v) be the second derivative of -127*v**3/6 - 55*v**2/2 + 223*v. List the prime factors of i(-7).
2, 3, 139
Let l(r) = -6*r + 5. Let f be l(1). List the prime factors of f*2340/(-6) + -6.
2, 3
Let k(a) be the third derivative of -a**6/120 - a**5/6 - 7*a**4/24 + 5*a**3/3 - 24*a**2. Let p be k(-7). Let x = 110 - p. List the prime factors of x.
2, 3, 11
Let u = -709 + 175. Let o = u + 816. List the prime factors of o.
2, 3, 47
Let c(t) = -t**3 - 9*t**2 - 10*t + 10684. What are the prime factors of c(0)?
2, 2671
Let c(z) = z**2 + 12*z - 41. Suppose 14*j = 5*j + 36. Suppose x + x = -r - 45, 3*x = -j*r - 65. What are the prime factors of c(x)?
2, 53
Let t(q) = 20*q + 302. Let u be t(-15). Suppose -3*f = -5*f - u*c + 2018, 4*c = -5*f + 5047. List the prime factors of f.
3, 337
Let v(m) = 172*m**2 - 6. List the prime factors of v(3).
2, 3, 257
List the prime factors of ((-196)/6 + 0 + 5)*(-6 - 738).
2, 31, 83
Let v = 2874 - -2011. What are the prime factors of v?
5, 977
Let n be 20/6 - 10/(-6). Suppose -n*l - 51 = 3*r + 722, 1 = -r. What are the prime factors of (-124)/(-7) + (-44)/l?
2, 3
Let w = 110 - 106. Let o be 4 + w + (-18)/(-6). Suppose 2*d + 1521 = o*d. List the prime factors of d.
13
Let j(x) = 11*x**2 - 3*x - 54. Let v be j(-8). What are the prime factors of (-1 - 5) + v + 8?
2, 13
Let v(u) = 51*u**3 + 4*u**2 - 6*u + 7. Let y be v(2). Suppose -y = -12*n + 1. Suppose 5*k - 4*m = 405, 3*k - n - 200 = 4*m. List the prime factors of k.
5, 17
Let u = 43318 + -28385. List the prime factors of u.
109, 137
Let u(v) = 2853*v - 2776*v + 41 - 346. List the prime factors of u(24).
1543
Let a be (-30)/4*(-760)/228. Suppose -a*k + 13*k + 8664 = 0. What are the prime factors of k?
2, 19
Let n be ((-22)/(-4))/((-4)/(-680)). List the prime factors of -2 + n - 120/(-24).
2, 7, 67
Let j(g) be the first derivative of -g**4/4 + 14*g**3/3 - 5*g**2 + 14*g + 44. What are the prime factors of j(13)?
53
Let m(j) = j**3 - 13*j**2 - 7*j - 3. Let v be 72/(-126) + (-624)/(-14). Suppose 4*x = -3*i + 14 + v, -3*x - 58 = -5*i. List the prime factors of m(i).
5, 19
Suppose 3*d = -
|
{
"pile_set_name": "DM Mathematics"
}
|
123 + 1128*b - 560*b + 197 - 566*b. Let y(c) = -6*c**2. Determine t(y(r)).
-12*r**2 + 725
Let k(g) = 3*g. Suppose 4*b = 4 + 20. Let c(r) = 4*r**2 + 8*r. Let p(j) = 4*j**2 + 6*j. Let f(z) = b*p(z) - 4*c(z). What is f(k(h))?
72*h**2 + 12*h
Let a(z) be the second derivative of -z**3/3 - z. Let v(w) = 36*w + 4*w - 7*w - 14*w + 11 - 7*w. Calculate a(v(h)).
-24*h - 22
Let n(f) = -90*f**2 - 5*f - 10. Let j(h) = -901*h**2 - 51*h - 102. Let l(d) = -5*j(d) + 51*n(d). Let i(p) = -13*p - 5*p + 18*p - 3*p**2. What is l(i(r))?
-765*r**4
Let f(k) = 13*k - 16 - 59 + 75. Let n(b) = 26*b**2. What is f(n(w))?
338*w**2
Let m(q) = -505103497*q. Let n(v) = 2*v**2. Calculate n(m(j)).
510259085363258018*j**2
Suppose 0 = -q - 2*q - 2*y + 26, -3*q + 3*y = -6. Let d(l) = 3 + 2*l + 7 - 16 + q. Let s(z) be the third derivative of z**5/15 - z**2. Give d(s(j)).
8*j**2
Let u(p) = 85*p + 257. Let r(k) = -3*k + 2. What is r(u(a))?
-255*a - 769
Let s(u) = 170*u. Let m(p) = 18420*p**2. Calculate m(s(v)).
532338000*v**2
Suppose 0 = s + 1, 5*s - 3 = 2*d - 32. Let w = 55 - 36. Let c(p) = -w*p + d*p - 17*p. Let z(a) = -2*a. Give c(z(u)).
48*u
Let q(j) = 427*j**2. Let o(b) be the second derivative of 2*b**3/3 - 2*b - 155. Determine o(q(u)).
1708*u**2
Let g(v) be the first derivative of 13*v**3/3 + 6. Let z(n) = -3*n**2 + 27887388 - 27887388. Give z(g(k)).
-507*k**4
Let u(j) = 336*j - 596. Let f(o) = -17*o. Calculate u(f(a)).
-5712*a - 596
Let w(j) = -16120*j. Let p(b) = -1879*b**2. Calculate w(p(y)).
30289480*y**2
Let i(j) be the second derivative of -j**3/6 + 30*j**2 - 14*j + 12. Let u(l) = l. What is u(i(g))?
-g + 60
Let n(g) = -153*g**2 + 3. Let k(m) be the first derivative of 178 + 0*m + 0*m**2 - 2/3*m**3. Determine n(k(w)).
-612*w**4 + 3
Let s(y) = -3387950 + 3387950 - 5*y. Let l(u) = -341*u. Calculate s(l(f)).
1705*f
Let q be ((-42)/(-4))/(0 + 18/48). Suppose 24*k = q*k - 132. Let c(z) = -36*z + 63*z - k*z. Let p(a) = 3*a. Determine c(p(t)).
-18*t
Let q(h) = 2*h - 12017. Let x(j) = -3837*j. What is q(x(i))?
-7674*i - 12017
Let r(s) = -s**2. Let m(u) = -10038711*u**2. Give m(r(g)).
-10038711*g**4
Let h(c) be the third derivative of -c**4/12 + 7*c**2. Let i(y) = -47*y + 18. Let t(m) = -5406*m + 2067. Let q(w) = 689*i(w) - 6*t(w). What is h(q(k))?
-106*k
Let y(a) be the second derivative of -a**3/3 + 4*a - 1. Let s(v) = 468*v**2. Calculate s(y(b)).
1872*b**2
Let j(g) be the third derivative of -g**5/60 - 141*g**2. Let h be -2 - -7 - (1 + 0). Let k(s) = 4 - h - 5*s. Calculate j(k(p)).
-25*p**2
Let w(a) = -27*a - 2851. Let k(h) = -14*h - 1555. Let x(t) = 11*k(t) - 6*w(t). Let v(m) = 4*m**2 - 3*m**2 + 5*m**2. Calculate x(v(q)).
48*q**2 + 1
Let w(a) = 6403*a - 12819*a + 6412*a. Let q(u) = u - 22. Determine q(w(m)).
-4*m - 22
Let n(d) = 2*d. Suppose 2*k - 1774 - 1794 = 0. Let t(u) = u**3 - 2*u**2 - 10*u + 22. Let y be t(2). Let l(x) = -34*x**y - k + 1784. Determine n(l(j)).
-68*j**2
Let v(o) = -1834*o. Let n(c) be the second derivative of -c**4/12 + 2*c + 198. What is v(n(a))?
1834*a**2
Let u(k) = 8*k - 1562. Let y(i) = 3*i - 7. Let a(t) = -u(t) + 3*y(t). Let x(j) = -2*j**2. Calculate a(x(v)).
-2*v**2 + 1541
Let y(z) = 67*z**2. Let u(l) = -333073*l. What is u(y(x))?
-22315891*x**2
Let p(o) = -2*o. Let u(h) = 8*h - 1192. Let m(k) = 22*k - 3568. Let b(s) = 3*m(s) - 8*u(s). Determine b(p(y)).
-4*y - 1168
Let s(o) = -4*o + 14. Let a(p) = -920*p + 2898. Let y(m) = a(m) - 207*s(m). Let k(c) = -5*c. Determine y(k(g)).
460*g
Let y(q) = -2*q**2. Let i(g) be the second derivative of 0*g**2 + 0*g**3 + 123/4*g**4 + 2*g - 14. What is y(i(c))?
-272322*c**4
Let r(h) = -h. Let j(u) = -101248551*u + 1 + 101248544*u + 63*u**2 - 1. Give j(r(b)).
63*b**2 + 7*b
Let r(g) = 2*g**2. Suppose -5*b + 21 = 3*a, -18*a = -13*a - 2*b - 4. Let l be 9/1 - (0 - 1). Let v(w) = -w**a + l*w**2 - 16*w**2 - 21*w**2
|
{
"pile_set_name": "DM Mathematics"
}
|
for f.
13
Solve 4616 + 730 = -64*w - 179*w for w.
-22
Solve 79*i - 533 = 8*i + 958 for i.
21
Solve -285 + 683 = -199*b for b.
-2
Solve 16051 = 76*j + 15443 for j.
8
Solve 453*k + 2002 + 8870 = 0 for k.
-24
Solve -271*f = 100 - 913 for f.
3
Solve -310*v + 695 - 5965 = 0 for v.
-17
Solve 94*l - 28 + 122 = 0 for l.
-1
Solve 71*w + 670 = 12*w + 375 for w.
-5
Solve 10*l + 0*l + 29 + 91 = 0 for l.
-12
Solve 0 = 197*m + 874 - 680 + 2958 for m.
-16
Solve -238*d + 7015 = 67*d for d.
23
Solve 58 = -455*k - 397 for k.
-1
Solve -161 = 113*c + 178 for c.
-3
Solve 17315*r = 17285*r + 420 for r.
14
Solve -32*a - 15 = 977 for a.
-31
Solve -191*w + 1 - 1 = 0 for w.
0
Solve 27*q - 154 = -29 + 199 for q.
12
Solve f + 3*f = 1348 - 1408 for f.
-15
Solve 8 = 32*p + 101 + 99 for p.
-6
Solve -25 - 32 = -63*i + 6 for i.
1
Solve -386751*t - 396 = -386769*t for t.
22
Solve 354*o - 239*o + 1035 = 0 for o.
-9
Solve 0 = 58*r - 1645 + 2573 for r.
-16
Solve 0 = 41*a + 2054 - 1398 for a.
-16
Solve -141*g - 11048 = -6113 for g.
-35
Solve 10642*a - 10630*a + 180 = 0 for a.
-15
Solve 412*g - 813*g = -409*g - 8 for g.
-1
Solve -352 = -34*f + 32 + 58 for f.
13
Solve 0 = -75*k + 62*k - 91 for k.
-7
Solve 2736 = 33*g + 2934 for g.
-6
Solve -47257*u + 962 = -47220*u for u.
26
Solve -1093*n = -1124*n + 93 for n.
3
Solve 2420*u - 19 = 2422*u + 3 for u.
-11
Solve 18*o = 2090 - 2468 for o.
-21
Solve -50*c - 4 = -31*c - 118 for c.
6
Solve -145 - 136 = -30*y - 101 for y.
6
Solve 0 = 144*f - 149*f - 41 + 116 for f.
15
Solve 0 = 2170*k - 2098*k + 720 for k.
-10
Solve -21411*v + 49 = -21420*v - 140 for v.
-21
Solve 0 = 7*v - 29*v - 521 + 389 for v.
-6
Solve 162*d - 44*d + 11466 = 664*d for d.
21
Solve 0 = -14203*u + 14173*u - 420 for u.
-14
Solve -74*k - 972 = -306 for k.
-9
Solve -56*o = 78*o - 1340 for o.
10
Solve 3*z - 15*z - 288 = 12*z for z.
-12
Solve 149*h - 19632 = -297*h - 372*h for h.
24
Solve 64*g - 6*g - 74 = 506 for g.
10
Solve -740*v - 792*v + 1081 = -1579*v for v.
-23
Solve -21011*b + 60 = -21001*b for b.
6
Solve 134*n + 63 = 197 for n.
1
Solve -125 - 100 = 26*k - 121 for k.
-4
Solve 0 = -145*r - 810*r - 24830 for r.
-26
Solve -1215*n + 180 = -629*n - 622*n for n.
-5
Solve 275*b = 254*b - 21 for b.
-1
Solve -19336*q - 35 = -19341*q for q.
7
Solve 61*b + 15*b + 392 = 1456 for b.
14
Solve -42*n = -44 + 2 for n.
1
Solve -295*r - 1577 - 2554 = 164*r for r.
-9
Solve 8*a = 702 + 575 - 1413 for a.
-17
Solve 0 = -176*t + 135*t + 1394 for t.
34
Solve 6*p - 136 = 35*p - 63*p for p.
4
Solve 0 = 188*c - 247*c - 1003 for c.
-17
Solve -210*c - 1997 = 622 - 309 for c.
-11
Solve -42*o = -138*o - 349*o + 8010 for o.
18
Solve 0 = 70666*g - 70659*g + 42 for g.
-6
Solve 2*d - 4*d + 56 = 12*d for d.
4
Solve 102*g - 1794 - 858 = 0 for g.
26
Solve 282 + 253 = -65*k - 180 for k.
-11
Solve -53*r = -69*r - 192 for r.
-12
Solve -10*a - 30*a - 13*a = 636 for a.
-12
Solve -182*s - 409*s = 270*s + 29274 for s.
-34
Solve -809*w = 819*w - 692*w + 1872 for w.
-2
Solve 79*v + 846*v = -1376*v + 34515 for v.
15
Solve -168*n = 448*n + 8624 for n.
-14
Solve 62*v = 130*v + 3 - 3 for v.
0
Solve -60*c - 46*c - 1378 = 0 for c.
-13
Solve -3430 = -264*u + 166*u for u.
35
Solve 23*b - 8*b = 28*b - 221 for b.
17
Solve v + 28*v = -10*v + 156 for v.
4
Solve 0 = -351*s + 104*s + 4446 for s.
18
Solve 26*x - 4385 = -4489 for x.
-4
Solve -35730*a + 35737*a = -77 for a.
-11
Solve 4*i + 3*i + 4690 - 4662 = 0 for i.
-4
Solve 0 = -24*h + 483 - 0 - 219 for h.
11
Solve -220*r + 3045 + 1135 = 0 for r.
19
Solve 141*s - 1152 = 92*s - 74 for s.
22
Solve 0 = -135878*d + 135892*d - 126 for d.
9
Solve 42*i - 23*i + 10 = -66 for i.
-4
Solve -10956*d = -11007*d + 1020 for d.
20
Solve -n - 27*n - 527 = 3*n for n.
-17
Solve 20*k + 193 = -53 - 94 for k.
-17
Solve -705*a + 4319 = -4846 for a.
13
Solve 2131 = -77*p + 2362 for p.
3
Solve 687 = 6*b + 735 for b.
-8
Solve 3*v + 138 = -57*v + 106*v for v.
3
Solve -2920 = -922*y + 768 for y.
4
Solve -14202*r = -14213*r - 187 for r.
-17
Solve 17*n + 182 = -23*n - 98 for n.
-7
Solve 6*s + 648 = 2*s - 68*s for s.
-9
Solve 28*p - 36*p - 197*p - 5125 = 0 for p.
-25
Solve -27*j - 470*j = -49*j - 2688 for j.
6
Solve 107*c - 75*c = 615*c + 6996 for c.
-12
Solve -96*g + 221 - 1085 = 0 for
|
{
"pile_set_name": "DM Mathematics"
}
|
04 - 43604 - 5323*s)*(2*s + 1 - 1) to i + o*s**2 + h*s and give o.
-10646
Express 142*f - 284*f + 558*f**2 + 142*f - 1918*f**2 as u*f + y*f**2 + h and give y.
-1360
Express (-1 - 2 + 5)*(88*n - 654 + 654) - 4*n + 2*n + 0*n + (0 + 4 - 2)*(-n + 0*n - n)*(1 + 9 - 3) in the form b + k*n and give b.
0
Express 1 - 2*t + 4*t**3 + 612*t**2 - 14*t**3 - 613*t**2 + 75*t**3 as k*t**3 + n + j*t + w*t**2 and give k.
65
Rearrange -5945 - 784*p + 83*p + 5945 - 6*p - 6*p - 4*p + 5*p - p - p - 2 + p + 2 - 1 + 1 - 2*p + (1 - 3 + 4)*(p + p - 3*p) - 2*p + 4 - 4 to j*p + z and give j.
-719
Express (0*a - a - a)*(-379*a**2 - 283*a**2 + 77852 - 77851) + (-2 - 2*a**2 + 2)*(5 - a - 5) as i + f*a**2 + r*a**3 + d*a and give f.
0
Rearrange (-9*h + 0*h + 4*h)*(-2*h + 2 - 4 + 4)*(h + h - 4*h)*(14 - 13 - 32) to v*h**2 + m + l*h + d*h**3 and give d.
620
Rearrange -114*f**2 - 931*f**4 + 930*f**4 + 4*f - 1 + 2*f**3 - 422*f**2 - 44*f**2 to j*f + o*f**3 + h*f**2 + u*f**4 + d and give d.
-1
Rearrange -6151 - 2*u**3 - 13*u**2 + 3*u**2 + 10*u**2 + 6*u + 6237 to the form v*u**3 + x*u + d + c*u**2 and give x.
6
Express -34 + 69 + 2009*a**2 - 749*a**2 - 33 in the form r + l*a**2 + j*a and give j.
0
Rearrange -5 + l + 5 + (1174*l - 648*l - 612*l)*(1 + 1 + 1) to t + w*l and give t.
0
Express 236908*z**3 - 236910*z**3 + 57*z**2 + 2 + 7 in the form b*z**2 + q*z**3 + s*z + i and give i.
9
Express 125*z + 8726 - 401*z + 138*z + 141*z in the form t*z + a and give a.
8726
Rearrange -12110*i - 7720*i + 3 - 3 to g*i + s and give g.
-19830
Express 501658*m**4 - 3*m**2 + 5*m**2 - 503104*m**4 + (-m**2 + 3*m**2 - m**2)*(m**2 + m - m) in the form w*m**4 + g*m + j*m**2 + c*m**3 + d and give j.
2
Express 0*y**3 + 1043 + 1171 + y**3 - 693 - 2*y as t*y**2 + f*y**3 + h*y + g and give f.
1
Express -16*c**2 + 206 + 10168677*c - 10168677*c as u*c**2 + j*c + o and give o.
206
Express -73 - 57 - 34 + 30*y + 9 in the form s*y + x and give x.
-155
Express 2419 - 1670*r - 2419 as b + w*r and give w.
-1670
Rearrange -116*r**3 - 2122*r - 13 + 2122*r to m*r + i*r**3 + z + l*r**2 and give z.
-13
Rearrange -707*t - 122*t - 1327*t - 210*t - 1309*t to the form s + h*t and give h.
-3675
Rearrange (-18 + 18 - v)*(2 - 2 - 1) - 11*v + 7*v + v - 70 to the form w + x*v and give w.
-70
Rearrange -7*f + 120*f**3 + 21*f**3 + 20*f**3 + 216*f**3 to a + n*f + p*f**2 + q*f**3 and give n.
-7
Express 6 - 9*t**2 - 5*t**3 - 2 - 12*t**2 - 13*t**2 + 32*t**2 in the form u*t + y*t**3 + c + h*t**2 and give h.
-2
Rearrange 872*s**4 + 10 + 11*s**3 + 882*s**4 + 862*s**4 - 2608*s**4 + 3*s to the form h*s**2 + w*s + j*s**3 + m*s**4 + z and give m.
8
Rearrange 1034 - 2090 + 229*w + 1052 to m*w + z and give m.
229
Express -8*b**4 + 3*b**3 - 4*b**3 - 4086 + 4221 + 4*b**4 in the form m*b**4 + f*b**3 + r*b**2 + j*b + w and give w.
135
Rearrange 415*h**2 - 413*h**2 - 27*h + 24*h + 186*h**3 to the form x + n*h**2 + a*h**3 + j*h and give a.
186
Express -90*b + 46*b + 35934*b**2 + 44*b - 9864*b**2 as k + w*b**2 + p*b and give w.
26070
Express (-6 + 1 + 2)*(99*n - 42*n - 45*n)*(3*n**2 + 3*n**2 + n**2 + (2 - n - 2)*(2*n - 5*n + n)) as q*n**2 + h*n + r + j*n**3 and give j.
-324
Express (-16*z + 23*z + 1 + 0)*(-189 - 903 - 403) as f + n*z and give n.
-10465
Express -38*j**2 + j + 6 + 5*j**4 + 5*j**4 - 8*j**4 + 86*j**2 - 38*j**2 in the form n*j**3 + s*j + y + x*j**2 + c*j**4 and give s.
1
Rearrange (0*h - h + 2*h)*(-102 - 762 - 57) to w + l*h and give l.
-921
Express -2501*n + 980*n + 207*n - 7787*n in the form v*n + c and give v.
-9101
Express (-3 - 1 + 7)*(-5 + 5 - 2*h) + 91*h - 71 + 71 - 16*h + 4 + 9*h + 3 as n*h + u and give u.
7
Rearrange -8 - 54*a + 51*a - 3 + (-6*a + 8*a + 6*a)*(-6 + 0 + 7 + (2 - 2 + 2)*(-1 + 0 + 2)) to the form r + u*a and give u.
21
Rearrange 1307655 - 15647*f**2 - 1307655 to z + m*f**2 + k*f and give m.
-15647
Express 2772 + 2866 + 5*f - 6231 in the form r + t*f and give t.
5
Rearrange (-10 + 53 + 10)*(1 + 1 - 4)*(-24*g + 25*g**4 + 50*g + 4*g**3 - 25*g) to the form y*g**3 + h*g + k*g**2 + p*g**4 + i and give y.
-424
Express 4 - 11993*s - 4 + 22270*s - 11278*s in the form t*s + a and give t.
-1001
|
{
"pile_set_name": "DM Mathematics"
}
|
er: -7 or l?
l
Suppose 0 = m + 2*m - 756. Let s be 16/m + (-2)/7. Let j(r) = -r. Let x be j(-1). Which is bigger: s or x?
x
Suppose 4*f - a = 0, f = a - 0*a. Let t = 4/15 + -38/255. Is f <= t?
True
Suppose 5*a + 17 = 2*t, -2*t = -t - 2*a - 7. Let l be 0 + 1 + (-22)/18. Which is smaller: l or t?
l
Let d = -9/124 - -10/31. Suppose -4*n - 14 = -2*r, 2*n = -2*n - 16. Which is greater: r or d?
d
Let o(t) = -t**2 - t - 4. Let b be o(0). Let z be 2 - 6*(-1)/b. Which is smaller: z or 0?
0
Let i be 16/5 + 7/(-35). Which is smaller: i or 5?
i
Let y(v) = -v**3 - 5*v**2 + 4*v - 9. Let s be y(-6). Is -4 smaller than s?
True
Let t = -6 - -4. Let n = -1 + t. Let i(z) = z - 2. Let u be i(-2). Which is smaller: n or u?
u
Let n(q) = -q**3 + 5*q**2 + 8*q - 6. Let c be n(6). Suppose 6 = y - v, -y + 0*y = 5*v + c. Do 4 and y have different values?
False
Suppose 2*m = 4*b - 108 - 46, 0 = -2*b - 5*m + 95. Is b equal to 40?
True
Let a = 267 - 2667/10. Which is bigger: -1 or a?
a
Let v be (-2)/(-8) - (-3)/20. Let r = 8 + -6. Let c = -3 + r. Which is greater: c or v?
v
Suppose 2*t + 4*g = 28, -8*g = -t - 3*g + 7. Suppose -t = 2*o - 7*v + 3*v, 0 = -3*o - 2*v + 6. Let i = 0 - -1. Is o > i?
False
Let q = -0.02 - -0.22. Let b = q - -0.3. Let p = 3.5 - b. Is p less than -2?
False
Let c be 16/209 - (-4)/(-22). Let t be -1*0/((-3)/(-6)*4). Is c > t?
False
Let j = 1847/9 + -205. Is j != 17/3?
True
Let u = -80.1 + 75. Let l = -0.06 + 5.06. Let n = u + l. Which is smaller: n or -1/3?
-1/3
Let c(s) = s**2 + 7*s - 7. Let h be c(-7). Which is bigger: -9 or h?
h
Let c = 5 + -5. Suppose c = -0*g - 3*g + 15. Suppose -g*v = 4*p + 13, 9 = -v - 8*p + 4*p. Are v and -1 nonequal?
False
Let q be 0 + (0 - 1) + 1. Let h be (-2)/4*-18 - 0. Let f be 3/h + 0 + 0. Is q at most f?
True
Suppose 3*m = 4*z + 7, 7 + 30 = 3*m + 2*z. Let w = -54 - -94. Let u be (16/(-10))/((-8)/w). Is m greater than or equal to u?
True
Suppose -3 = -o + 2. Is 0 at least as big as o?
False
Let h(p) = 3*p + 2. Let o be h(-2). Suppose -4*d + 2*d - 10 = 0. Which is smaller: d or o?
d
Let v = 2 + -1.6. Let r = -5.4 - -6.4. Does r = v?
False
Let j be 34/66 + (-1)/3. Let n(q) = -q**3 + q**2 + 2*q - 2. Let i be n(1). Is i at least as big as j?
False
Suppose -2 = -2*a - 2. Which is smaller: 1/17 or a?
a
Let m = -3 + 2.98. Let c = 0.18 - m. Which is bigger: c or -1/5?
c
Let z(a) = -a**3 + 2*a**2 + 1. Let g be z(0). Which is smaller: g or 1/72?
1/72
Let m(x) = -3 + 2*x + 2 - 6. Let l(o) = 2*o - 7. Let g(s) = 6*l(s) - 5*m(s). Let j be g(5). Is 3 > j?
False
Suppose 0*q - 3*h = -5*q + 17, 2*h + 5 = -3*q. Let i(r) = 4*r**2 - 1. Let m be i(q). Let l = -2 + 6. Is m at least as big as l?
False
Suppose 0*m - 3*m = 30. Which is smaller: -11 or m?
-11
Suppose -45 = -3*p - 0*p. Suppose 0 = -3*h + p. Let n = 9 - 3. Which is bigger: h or n?
n
Let w = 4 - 4. Suppose -4*z + 3*z + 4 = w. Suppose 5*r - r - z = 0. Which is greater: r or 0?
r
Let l = -12 + 3. Which is bigger: -8 or l?
-8
Let l be 1/(-2)*(2 - 2). Let i = -37 - 11. Let h be 68/i + (-4)/(-6). Are h and l non-equal?
True
Let d = 2 - 4. Let i(q) = -q**3 - 2*q**2 - 3*q - 3. Let l be i(d). Suppose 3 = -0*r + l*r. Is r smaller than 2/13?
False
Let h(x) = -x - 6. Let t be h(-8). Let a be -2*t/(-1 + 9). Let p = -111/4 + 28. Which is greater: a or p?
p
Suppose 0 = 4*x - 2*g, 4*g = -0*x - 5*x. Suppose -6*j - 17 = 5*m - 3*j, 4*m + 5*j + 24 = x. Let z = 0 - m. Which is greater: z or -1/7?
z
Let n = -0.3 - -0.3. Let k be (4/6)/((-3)/(-27)). Suppose k*i = 5*i. Is n bigger than i?
False
Let d = 2225.06 + -2487. Let k = d + 256. Let m = -0.06 + k. Is m bigger than 0.1?
False
Let w(q) = -7*q - 15. Let y(k) = -10*k - 22. Let x(v) = -7*w(v) + 5*y(v). Let a be x(-4). Let r be 2/(a + 1/2). Which is smaller: -3 or r?
r
Let g = 0.5 + 1.5. Let v = -169.13 + 170. Let w = -0.13 - v. Which is greater: g or w?
g
Suppose 29*n - 25*n + 4 = 0. Which is smaller: n or 1/130?
n
Suppose 0 = 5*z - 0*z - 15. Suppose -q + z*q = -6. Let b be (q + 6)/(3/2). Is b >= 0?
True
Let m = 0.01 - -0.79. Let p = m + -1. Let f = p - 0.1. Is 1/2 bigger than f?
True
Let m be (-90)/(-429)*3/5. Let o = 13/36 - 1715/5148. Let l = m + o. Which is smaller: 1 or l?
l
Let u(m) be the first derivative of m**2 + 8*m - 2. Let j be u(-6). Is j at least -4?
True
Let p = 141 - 129. Which is smaller: p or 13
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2. Let b(t) = -2*q(t) - 7*y(t). Let k(c) = c + 1. Calculate 2*b(n) - 6*k(n).
2*n**2 + 6*n - 2
Let f(w) = -249*w**3 - 3*w**2 + 8*w + 2. Let j(r) = -125*r**3 - r**2 + 3*r + 1. What is 3*f(p) - 7*j(p)?
128*p**3 - 2*p**2 + 3*p - 1
Let s(f) = 36*f**3 + 5*f**2 + 2096*f - 5. Let u(p) = -29*p**3 - 4*p**2 - 2096*p + 4. Determine -4*s(z) - 5*u(z).
z**3 + 2096*z
Let o(b) = 7*b**2 + 3*b - 3. Let d(n) = 2*n - 90. Let c(t) = -t + 49. Let r(h) = -11*c(h) - 6*d(h). Determine o(w) + 3*r(w).
7*w**2
Let v(y) = -4*y - 2. Let a = -7 + 13. Let u(r) = 20*r - 10*r + 0*r + 2 - 6*r. Determine a*v(l) + 7*u(l).
4*l + 2
Let i(x) = -x**3 + 7*x**2 - 3*x - 224. Let f(p) = -2*p**3 + 13*p**2 - 7*p - 447. Determine -3*f(t) + 7*i(t).
-t**3 + 10*t**2 - 227
Let c = 1950 + -1955. Let o(n) = n. Let t(b) = -2. Determine c*o(y) - t(y).
-5*y + 2
Let r(a) = 3*a - 2*a - 17*a**3 - 24 - 7*a**2 + 18*a**3 + 2*a. Let m be r(7). Let j be 3 + -2 + (8 - m). Let t(n) = n. Let f(i) = 9*i. What is j*t(z) - f(z)?
3*z
Let j(n) = -15*n**2 - 5*n - 5. Let v = -16533 + 16512. Let h(g) = 60*g**2 + 21*g + 21. What is v*j(r) - 5*h(r)?
15*r**2
Let c(w) = -2*w**3 + 11*w - 5. Suppose -d = 5*t - 180 + 193, 5 = -3*t - 2*d. Let o(h) = -h**3 + 6*h - 3. Calculate t*c(s) + 5*o(s).
s**3 - 3*s
Let l(v) = 2702786*v - 3031. Let d(j) = 2676*j - 3. Determine -6062*d(x) + 6*l(x).
-5196*x
Let z(i) = i**2 + 2*i - 2. Suppose -5 = 7*j - 2*j + 5*r, 0 = -j + 3*r + 15. Suppose -4*y = -j*y + 7. Let b(w) = -2*w**2 - 6*w + 6. Give y*z(s) - 2*b(s).
-3*s**2 - 2*s + 2
Let d(o) = 18*o**3 + 13*o**2 - 4*o + 38. Let a(z) = 18*z**3 + 17*z**2 - 5*z + 37. Calculate -3*a(u) + 4*d(u).
18*u**3 + u**2 - u + 41
Let l(x) = -x**2 - 109*x - 6. Let i(n) = 2*n**2 + 223*n + 13. Give -4*i(k) - 7*l(k).
-k**2 - 129*k - 10
Let m(f) = -2*f**3 - 15*f**2 + 3*f. Let r(w) = 330*w**2 - 2*w - w**3 + 3*w**3 - 315*w**2. Give -2*m(s) - 3*r(s).
-2*s**3 - 15*s**2
Let y(a) = 6*a + 59. Let k(j) be the third derivative of -j**4/24 - 5*j**3/3 + 18*j**2 + 47*j. What is -34*k(x) - 6*y(x)?
-2*x - 14
Let y(s) = 1197*s**3 + 105*s + 105. Let b(c) = 2*c - 4*c**2 + 2 + 0*c + 0*c + 23*c**3 + 4*c**2. What is 105*b(n) - 2*y(n)?
21*n**3
Let g(h) = -h**3 + 2*h**2 - h. Let f(p) = -2*p**3 - 6*p**2 + 18*p + 1. Give f(m) + 4*g(m).
-6*m**3 + 2*m**2 + 14*m + 1
Let r(d) = 5*d**2 + 362*d - 117*d - 123*d - 6 - 119*d. Let w(p) be the third derivative of -p**5/60 - p**4/24 + p**3/6 - 3*p**2 + 8*p. Calculate r(g) + 4*w(g).
g**2 - g - 2
Let b be (0 + 0)*-1 - (-98 + 102). Let a(v) = 4*v + 1. Let m(n) = 3*n. Let h(r) = 2*a(r) - 3*m(r). Let d(s) = s - 2. What is b*h(i) - 6*d(i)?
-2*i + 4
Let j(m) = -21*m + 49. Suppose 109*z - 107*z + 4*k + 6 = 0, 2*k = 4*z + 52. Let i(r) = 4*r - 10. What is z*i(c) - 2*j(c)?
-2*c + 12
Let x(h) = -9*h**2 + h - 1. Let g(p) = -p**2 + p - 1. Let f(d) = -2*d**3 - 15*d**2 - 50*d - 303. Let m be f(-7). Determine m*x(q) + 2*g(q).
16*q**2
Let u(k) = -5*k + 6. Let d(v) = -2*v - 10. What is 6*d(r) + 3*u(r)?
-27*r - 42
Let y(n) = -139*n**2 - 28*n - 6885. Let w(k) = 49*k**2 + 10*k + 2295. What is -17*w(f) - 6*y(f)?
f**2 - 2*f + 2295
Let p(v) = -53*v - 242. Let g(j) = 10*j. Calculate -5*g(z) - p(z).
3*z + 242
Let o(s) = 1786*s**3 + 8*s**2 - 44. Let k(w) = -357*w**3 - 2*w**2 + 8. Determine 11*k(t) + 2*o(t).
-355*t**3 - 6*t**2
Let c(g) be the first derivative of -g**4/4 + g**3/3 + g**2/2 - g + 507. Let i(r) = -7*r**3 + 5*r**2 + 28*r - 6. Determine 6*c(b) - i(b).
b**3 + b**2 - 22*b
Let s(t) = t**3 - 7*t**2 - 8*t - 2. Let a be s(8). Let g(q) = -2*q - 1. Let j(z) be the first derivative of 2*z**2 + 3*z -
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 - b**3.
5*b**3
Expand 2*w**2 + 0 - w - 1 - w**2 - 4 + w**2 + 4 - w + 2*w**2 + w + (3*w - w + 0*w)*(-2*w + 4*w + 0*w) + 5*w**2 - 5*w**2 - 5*w**2.
3*w**2 - w - 1
Expand (0*g + 5*g - 12*g - 11*g)*(-g**2 - 1 + 1).
18*g**3
Expand -4 + 4 + 2*v**3 + (-2*v + 5*v - 2*v)*(-2*v**2 + 2*v**2 + 2*v**2) - 4*v**2 + 2*v**3 + 6*v**2 - 14 + 8.
6*v**3 + 2*v**2 - 6
Expand (11*p**3 + 4*p**3 + 5*p**3 + 2*p**4)*(-2 - 1 + 2)*(-3 + 3 - 1).
2*p**4 + 20*p**3
Expand (-3*x**3 + 2*x**3 + 3*x**3)*(-21*x - 2 + 0 + 3).
-42*x**4 + 2*x**3
Expand (-5*g**2 + g**2 + 12*g**2 - g**2 + 2*g**2 - 2*g**2 + g**2 + g**2 + 0*g**2 + (-2 + 2 + 2*g**2)*(0 + 1 + 1) + g**2 - g**2 - g**2)*(-4*g - 2 + 0*g + 2*g).
-24*g**3 - 24*g**2
Expand -s**3 + 4*s**3 - 4*s**3 + s**3 + 4*s**3 - 2*s**3 + (-1 + 1 + s**2)*(3 - s - 3) + s**3 + 4*s**3 - 4*s**3.
2*s**3
Expand (-2*n - 1 + 1)*(-2 + 2 + n**2) + (2*n**2 - 2*n**2 - 2*n**2)*(1 + n - 1) + 2*n**3 - 3*n**3 + 2*n**3.
-3*n**3
Expand (h**3 + 0*h**3 - 3*h**3)*(-27 + 14 - 39).
104*h**3
Expand (-2 + f**3 - 2*f**5 + 2)*(-5 + 1 + 3).
2*f**5 - f**3
Expand 9 - 9 + 5*a - 3*a - 3*a + 4*a + 2 - 2*a - 2 + (a + a - 4*a)*(6 - 3 - 1) + 4*a + 2*a - 4*a - 2*a - 5 + 5 - 2*a + 6*a - 3*a.
-2*a
Expand 35*g**2 + 36*g**2 - 5*g**3 - 69*g**2 - 1 + 1 + 2*g**3 + (g + g - g)*(g**2 - 2*g**2 + 0*g**2) - g**3 + 2*g - 2*g.
-5*g**3 + 2*g**2
Expand (2 + 2*m**3 - 2)*(-1 - 1 + 0 + (3 + 0 - 2)*(-4 + 0 + 3) - 3 + 3 - 1)*(10 + 1 + 0).
-88*m**3
Expand (-2*s + 1 - 1)*(-67*s**3 - 4 + 4).
134*s**4
Expand -14 + 14 - 2*u**3 + (-3 + 3 - 1)*(3*u**3 - u**3 - 3*u**3) - u**2 + 2*u**3 + u**2 + 4 - 4 - 2*u**3.
-u**3
Expand -7*b + 0*b + 6*b + 3*b + b - 2*b + (-3 + 1 + 1)*(b - b - 2*b).
3*b
Expand 5*k**3 - 3*k**3 - k**3 - 2*k + 0*k**3 + k**3 - 6*k**3 + (3*k**2 + 0*k**2 - 5*k**2)*(0*k + k + 0*k).
-6*k**3 - 2*k
Expand (-32*t**2 + 32*t**2 + 10*t**3)*(-3 - 3 + 8).
20*t**3
Expand (0 - 4 + 6)*(-1 - 3 + 2)*(c - 2*c**3 + 0*c - 3*c).
8*c**3 + 8*c
Expand (-n + n**2 + n - 1 + 1 - n**2 + (2 + 3 - 3)*(-5 + 5 - n**2))*(3*n**3 - 2*n**2 + 2*n**2).
-6*n**5
Expand -4*p**4 + 0*p**4 + 2*p**4 + (2*p - 3*p - p)*(3*p - 2*p**3 - 3*p) + 3*p**4 - 6*p**4 + 2*p**4 - p**4 + 0*p**4 + 2*p**4.
2*p**4
Expand (0 + 2*r**3 + 0 + 4*r)*(-2 - r**2 + 2).
-2*r**5 - 4*r**3
Expand (-6*s - 14 + 14)*(-4*s + 4*s + 2*s**3).
-12*s**4
Expand (-u**3 + u**3 + u**3 + (-3*u - u + 3*u)*(-1 + 1 + 2*u**2) + 12 - 5*u**3 - 12 + 2*u**3 + u**3 - u**3)*(3 - 4 + 3).
-8*u**3
Expand (3 - 2 - 2)*(-8*p**2 + 6*p**2 - p**2)*(-4 + 5 - 2)*(2 + 2 - 5).
3*p**2
Expand (0*s - 2*s**4 + 0*s)*((2 - 1 - 2)*(s - 2*s + 3*s) + (0*s + 2*s - 4*s)*(1 + 4 - 3)).
12*s**5
Expand (-4 - 3 + 3)*(0 + 2*f**4 + 0 + (0 + 0 + 2*f**2)*(f**2 - f**2 + f**2)).
-16*f**4
Expand (0 + t + 0 - 2*t + 0 + 0 + (1 + 2 - 5)*(-6*t + t + 3*t))*(t + 5 - 1 - 3).
3*t**2 + 3*t
Expand (a - 6*a + a)*(2 - 2 - 4*a)*(0*a**3 + 0*a**3 + 2*a**3).
32*a**5
Expand (-s - 2*s + 4*s)*(-4 + 3 + 2 - 3 + 0 + 4 + (-2 - 5 + 5)*(0 - 1 - 1) - 7 - 1 + 0)*(-3*s + 0*s + s).
4*s**2
Expand (-3 + 0 + 5 + 1 - 1 - 2 + (2 - 2 - 2)*(4 + 1 - 2))*(-2*j**3 - 1 - 5*j**3 + 6*j**3).
6*j**3 + 6
Expand (3*d - 6 + 6)*(4*d**4 - 4*d**4 + 5*d**4) - d**5 - 2*d**5 + d**5.
13*d**5
Expand (-1 - 2 + 4)*(-4 - 2 + 5)*(21*f - 5*f + 10*f).
-26*f
Expand 3*y - 3*y - y**2 - y**2 - y**2 + 3*y**2 + (y - 2*y - y)*(-2*y + 0 + 0) + (2 + 1 - 1)*(y**2 - 4 + 4) + 4*y**2 + 3 - 3.
10*y**2
Expand (-j**2 + 2*j**2 - 2*j**2)*(2*j + 2*j - 5*j) + j**3 - 6*j**3 + 3*j**3 - 6*j**3 + 3*j**3 + j**3 + (-4 - 1 + 4)*(-j + 3*j**3 + j).
-6*j**3
Expand (-15*t**2 + t
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 7204.
4*(z - 1801)*(z - 1)
Suppose x**3/2 + 11*x**2/2 - 7*x - 12 = 0. Calculate x.
-12, -1, 2
Let -2*u**5/5 + 28*u**4/5 - 76*u**3/5 - 64*u**2/5 + 222*u/5 + 36 = 0. What is u?
-1, 3, 10
Factor 2*m**3/11 - 170*m**2/11.
2*m**2*(m - 85)/11
Factor 5*k**3 + 53*k**2 - 152*k + 52.
(k - 2)*(k + 13)*(5*k - 2)
Let -192027*p**2 + 1518*p - 3 = 0. Calculate p.
1/253
Let 2*w**5/19 + 264*w**4/19 + 774*w**3/19 - 8*w**2/19 - 1032*w/19 = 0. Calculate w.
-129, -2, 0, 1
Find k, given that 2*k**3/13 + 670*k**2/13 + 668*k/13 = 0.
-334, -1, 0
Factor -16*f**5 + 51*f**4 - 57*f**3 + 25*f**2 - 3*f.
-f*(f - 1)**3*(16*f - 3)
Factor -2*l**2/7 - 1160*l/7 - 2312/7.
-2*(l + 2)*(l + 578)/7
Factor -4*t**2 - 24*t - 36.
-4*(t + 3)**2
Let -3*u**5/8 - u**4 - 3*u**3/8 + u**2/4 = 0. Calculate u.
-2, -1, 0, 1/3
Find s such that 3*s**5/2 + 18*s**4 + 51*s**3/2 - 51*s**2 - 54*s + 60 = 0.
-10, -2, 1
Let 2*a**2/3 + 1532*a/9 + 2032/9 = 0. Calculate a.
-254, -4/3
Suppose 3*c**3 + 6*c**2 - 3*c - 6 = 0. What is c?
-2, -1, 1
Suppose 33*z**4 - 126*z**3 + 141*z**2 - 36*z - 12 = 0. What is z?
-2/11, 1, 2
Factor c**2/4 - 27*c/2 - 171/4.
(c - 57)*(c + 3)/4
Determine m, given that 3*m**4/7 - 24*m**3/7 + 54*m**2/7 - 48*m/7 + 15/7 = 0.
1, 5
Factor -2*r**3/5 + 86*r**2/5 + 588*r/5.
-2*r*(r - 49)*(r + 6)/5
Factor 6*l**3 + 51*l**2/2 - 24*l - 15/2.
3*(l - 1)*(l + 5)*(4*l + 1)/2
Factor -r**3/8 - 89*r**2/8 - 507*r/8 - 747/8.
-(r + 3)**2*(r + 83)/8
Factor 5*n**2 + 3940*n - 3945.
5*(n - 1)*(n + 789)
Determine d so that 27*d**3 + 690*d**2 - 1041*d + 324 = 0.
-27, 4/9, 1
Find y, given that -5*y**4 - 160*y**3 + 15*y**2 + 470*y - 320 = 0.
-32, -2, 1
Solve -2*j**5 + 160*j**4 - 2684*j**3 - 20648*j**2 - 32594*j - 14792 = 0.
-4, -1, 43
Solve w**4/6 - 2*w**3/3 - 10*w**2 + 48*w = 0.
-8, 0, 6
Solve 12*y**5/5 + 14*y**4 + 84*y**3/5 - 88*y**2/5 - 96*y/5 + 18/5 = 0.
-3, -1, 1/6, 1
Factor -4*h**5 - 472*h**4 - 13444*h**3 + 28320*h**2 - 14400*h.
-4*h*(h - 1)**2*(h + 60)**2
Factor -j**3/2 + 10*j**2 - 50*j.
-j*(j - 10)**2/2
Solve 42*c**4/11 - 314*c**3/11 + 666*c**2/11 - 54*c/11 - 756/11 = 0.
-6/7, 7/3, 3
Factor -s**2/2 - 886*s - 392498.
-(s + 886)**2/2
What is o in -4*o**3 = 0?
0
Factor 2*i**3/3 + 3928*i**2/3 + 1928648*i/3.
2*i*(i + 982)**2/3
Find r, given that r**3 - 30*r**2 - 31*r = 0.
-1, 0, 31
Determine g, given that 2*g**2 - 26*g - 28 = 0.
-1, 14
Factor -q**5/5 - 14*q**4/5 - 36*q**3/5 + 162*q**2/5 + 837*q/5 + 972/5.
-(q - 4)*(q + 3)**3*(q + 9)/5
Let -2*r**5/5 - 124*r**4/5 - 1656*r**3/5 + 8316*r**2/5 - 6534*r/5 = 0. Calculate r.
-33, 0, 1, 3
Factor -4*j**4 + 168*j**3 - 160*j**2 - 168*j + 164.
-4*(j - 41)*(j - 1)**2*(j + 1)
Let -4*j**5 - 4*j**4 + 4*j**3 + 4*j**2 = 0. What is j?
-1, 0, 1
Determine q, given that -3*q**2/7 + 963*q/7 + 138 = 0.
-1, 322
Determine w so that -w**5 - 340*w**4/3 - 1112*w**3/3 - 442*w**2 - 661*w/3 - 110/3 = 0.
-110, -1, -1/3
Determine q, given that -3*q**4/8 - 9*q**3/8 + 3*q**2/8 + 9*q/8 = 0.
-3, -1, 0, 1
Suppose 35*k**4 + 410*k**3 - 155*k**2 - 410*k + 120 = 0. Calculate k.
-12, -1, 2/7, 1
Suppose 2*i**3/3 - 8*i**2/3 - 2*i/3 + 8/3 = 0. What is i?
-1, 1, 4
Suppose -3*n**3 + 132*n**2 - 255*n + 126 = 0. What is n?
1, 42
Factor 2*h**2/9 - 8*h/9 + 8/9.
2*(h - 2)**2/9
Find d, given that 3*d**3/4 - 57*d**2 + 4095*d/4 + 4563/2 = 0.
-2, 39
Factor -6*n**4/5 + n**3 + 13*n**2/5 + 2*n/5.
-n*(n - 2)*(n + 1)*(6*n + 1)/5
Find z, given that -2*z**3 + 68*z**2 - 130*z + 64 = 0.
1, 32
Find c such that 2*c**3/5 - 98*c/5 + 48 = 0.
-8, 3, 5
Suppose -z**4/3 + 137*z**3 - 14008*z**2 - 42436*z/3 = 0. Calculate z.
-1, 0, 206
Let z**3 - 5*z**2 + 6*z = 0. What is z?
0, 2, 3
Factor s**2/2 + 293*s/2 - 594.
(s - 4)*(s + 297)/
|
{
"pile_set_name": "DM Mathematics"
}
|
- 7*u**2 - 8*u - 4
What is the r'th term of 90302743, 180605487, 270908231?
90302744*r - 1
What is the d'th term of -5002773, -5002774, -5002775, -5002776, -5002777?
-d - 5002772
What is the z'th term of 51808, 51155, 50502, 49849, 49196, 48543?
-653*z + 52461
What is the p'th term of 5313, 22359, 50763, 90519, 141621?
-p**3 + 5685*p**2 - 2*p - 369
What is the x'th term of 73836, 295323, 664456, 1181229, 1845636?
-x**3 + 73829*x**2 + 7*x + 1
What is the x'th term of 392164966, 392164964, 392164962, 392164960, 392164958, 392164956?
-2*x + 392164968
What is the f'th term of 19042341, 19042335, 19042325, 19042311?
-2*f**2 + 19042343
What is the b'th term of 846995, 1694008, 2541021, 3388034, 4235047?
847013*b - 18
What is the m'th term of -123646, -248484, -373322?
-124838*m + 1192
What is the c'th term of 1610266, 1610294, 1610322, 1610350?
28*c + 1610238
What is the c'th term of 7451387, 7451384, 7451381, 7451378?
-3*c + 7451390
What is the o'th term of -2361, -13863, -33041, -59895?
-3838*o**2 + 12*o + 1465
What is the r'th term of 6978, 15173, 23370, 31569, 39770, 47973?
r**2 + 8192*r - 1215
What is the g'th term of 290, 1283, 2978, 5387, 8522, 12395?
2*g**3 + 339*g**2 - 38*g - 13
What is the x'th term of 340654570, 340654575, 340654584, 340654597, 340654614, 340654635?
2*x**2 - x + 340654569
What is the o'th term of 1448690, 1448692, 1448694?
2*o + 1448688
What is the z'th term of -74598, -112309, -150020?
-37711*z - 36887
What is the z'th term of -442662, -439802, -436942, -434082?
2860*z - 445522
What is the g'th term of -1012, -5495, -13494, -25009?
-1758*g**2 + 791*g - 45
What is the g'th term of -335655, -671425, -1007205, -1342995?
-5*g**2 - 335755*g + 105
What is the k'th term of -858874, -1717755, -2576632, -3435505, -4294374?
2*k**2 - 858887*k + 11
What is the t'th term of -71564, -144026, -216488, -288950, -361412?
-72462*t + 898
What is the m'th term of 3369, 4176, 5103, 6144, 7293, 8544, 9891, 11328?
-m**3 + 66*m**2 + 616*m + 2688
What is the h'th term of -9754, -9852, -9950?
-98*h - 9656
What is the t'th term of 2201, 18387, 62209, 147485, 288033?
2303*t**3 + 65*t - 167
What is the t'th term of 235609, 235590, 235571?
-19*t + 235628
What is the u'th term of 50460, 201796, 454026, 807156, 1261192, 1816140, 2472006?
u**3 + 50441*u**2 + 6*u + 12
What is the r'th term of -33446, -66997, -100546, -134093?
r**2 - 33554*r + 107
What is the g'th term of 5346891, 10693775, 16040653, 21387525, 26734391?
-3*g**2 + 5346893*g + 1
What is the a'th term of 1952, 5718, 11996, 20786?
1256*a**2 - 2*a + 698
What is the o'th term of -8872185, -8872237, -8872289?
-52*o - 8872133
What is the j'th term of 7455, 16186, 24917, 33648?
8731*j - 1276
What is the z'th term of 3797024, 3797026, 3797028?
2*z + 3797022
What is the u'th term of 193990, 388078, 582166, 776254, 970342, 1164430?
194088*u - 98
What is the m'th term of -8639292, -8639293, -8639294?
-m - 8639291
What is the y'th term of -233070, -466133, -699186, -932229, -1165262, -1398285, -1631298?
5*y**2 - 233078*y + 3
What is the d'th term of 52994, 52966, 52932, 52886, 52822, 52734?
-d**3 + 3*d**2 - 30*d + 53022
What is the c'th term of -454, -618, -870, -1210?
-44*c**2 - 32*c - 378
What is the t'th term of -110346, -220710, -331076, -441444, -551814, -662186?
-t**2 - 110361*t + 16
What is the p'th term of 1364273, 1364519, 1364755, 1364975, 1365173, 1365343?
-p**3 + p**2 + 250*p + 1364023
What is the n'th term of -448995, -448538, -447777, -446712, -445343, -443670, -441693?
152*n**2 + n - 449148
What is the q'th term of -108, 205, 666, 1347, 2320, 3657?
12*q**3 + 2*q**2 + 223*q - 345
What is the o'th term of 18841, 37679, 56513, 75343, 94169?
-2*o**2 + 18844*o - 1
What is the h'th term of -29287, -30940, -32593, -34246?
-1653*h - 27634
What is the l'th term of 25493, 28852, 32209, 35564, 38917, 42268?
-l**2 + 3362*l + 22132
What is the l'th term of -33825, -135623, -305289, -542823, -848225, -1221495?
-33934*l**2 + 4*l + 105
What is the x'th term of -192080, -192067, -192054, -192041?
13*x - 192093
What is the l'th term of 580024239, 580024238, 580024237, 580024236?
-l + 580024240
What is the l'th term of 8488, 8420, 8308, 8152, 7952, 7708?
-22*l**2 - 2*l + 8512
What is the d'th term of 427721, 855422, 1283123, 1710824, 2138525?
427701*d + 20
What is the c'th term of -1153, 9744, 27903, 53324, 86007, 125952?
3631*c**2 + 4*c - 4788
What is the v'th term of 10012, 9261, 8526, 7813, 7128
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{
"pile_set_name": "DM Mathematics"
}
|
1
Express 59 + 18*d**2 + 53 - 170 + 64 + 4*d**3 + 5*d**4 - 3*d**4 as z*d**2 + v*d**4 + x + r*d**3 + i*d and give v.
2
Express 14797 - 7405 - 7392 + 15449*i**2 in the form w*i**2 + y + j*i and give j.
0
Express r**2 - 1476*r - 5664*r - 2451*r + 273*r in the form b + j*r + q*r**2 and give q.
1
Rearrange 31 - 45*l**2 - 5*l**3 + 3*l**4 - 26*l**2 + 95*l**2 - 23*l**2 to the form o + h*l**4 + i*l + a*l**3 + j*l**2 and give o.
31
Rearrange (-3*m + 11 - 11)*(-1 + 2 + 2) - 1626 + 1159*m + 1626 to the form p*m + c and give p.
1150
Rearrange -o**3 + 0 + 0 + (8044 - 8044 + 58*o**2)*(22*o + 21 - 21) to d*o**2 + q*o + k + t*o**3 and give t.
1275
Express (2 + 0 - 1)*(4 - 4 - 2)*((-3*a + 3*a + 2*a)*(-4 + 4 - 4) - 5*a + 5*a + 2*a)*(-8 + 2 - 11) in the form r + u*a and give u.
-204
Rearrange (-457 - 10*w - 815 + 139)*(-w - w + w)*(3 - 2 - 3) to y*w**2 + l*w + a and give l.
-2266
Express -2 - 106*n**2 + 160*n**4 - 159*n**4 + 5 - 31*n**2 + 7*n**2 as b*n**2 + q*n**4 + y*n**3 + i*n + r and give q.
1
Rearrange 141*k - 47*k + 75*k + 2 + (-2*k + 5*k - k)*(5 - 2 - 2) + (-6*k + 2*k + 5*k)*(1 - 4 + 5) + k + 0 + 0 to a*k + x and give x.
2
Rearrange (2817*f**3 + 2*f**2 + 5536*f - 11099*f + 5566*f)*(-1 + 1 - 2) to the form z*f**3 + j*f + x + g*f**2 and give j.
-6
Express (-20*w**2 - 4*w - 14*w**2 + 39*w**2)*(-7*w + 3*w + 3*w)*(11251 - 100*w - 11251) as y + k*w + u*w**4 + v*w**2 + i*w**3 and give u.
500
Rearrange (11*r + 39*r + 65*r)*(-7 - 22 + 4)*(4*r + 4*r - 3*r) to the form l*r**2 + i*r + z and give l.
-14375
Rearrange 43 + 163*w**2 + 36 - 79 + 1228*w**2 to l*w + d*w**2 + y and give d.
1391
Rearrange 3*i - 21393 + 22*i**4 - 19*i**2 + 21392 - 18*i**4 to u*i**4 + h*i + w + z*i**3 + v*i**2 and give v.
-19
Rearrange -6*w**2 - 15*w**4 + 8*w + 2 + 40*w**4 - 27*w**4 - 15*w**4 + 8*w**2 to i*w**4 + s*w**2 + a*w + o*w**3 + r and give s.
2
Express 3*c + 12*c**2 - 80*c**2 + c - 6*c**2 - 6*c as z + b*c**2 + l*c and give l.
-2
Rearrange -76*y - 239*y + 115*y - 195*y to the form b + l*y and give l.
-395
Express (2*w - w - 4*w)*(4*w + w - 4*w) - 2183*w**2 + 14541*w - 14541*w as v*w + d*w**2 + p and give d.
-2186
Rearrange (0*x - 3*x + x)*(x**3 - 192678*x**2 + 0*x**3 + 189955*x**2) to the form c*x + q*x**3 + u*x**2 + w + f*x**4 and give w.
0
Express 253*h**2 - 132*h**2 + 377 - 2*h - 980 - 2*h**4 + 2*h**3 - 121*h**2 as v*h**3 + b*h + z*h**4 + k + r*h**2 and give k.
-603
Express 7 + 9 - 94*z**2 - 94*z**2 + 187*z**2 + 54*z - 5 in the form u*z**2 + f + j*z and give j.
54
Rearrange 21*n**3 - 9*n**3 + 4*n**3 + 21*n**3 + (4*n**2 - 11*n**2 - 9*n**2)*(-2*n - 20*n - 4*n) to the form u + c*n**2 + k*n + g*n**3 and give g.
453
Express (5*m + 8*m - m)*(0 - 2 + 3)*(0 + 3 - 2)*(2*m - 7*m + 6*m)*(-5 + 4 + 2) as a*m**2 + o*m + t and give a.
12
Rearrange (0 + 1 + 0)*(-9667*r**4 + 3829*r**4 + 3100*r**4) to o*r**2 + w*r + q*r**3 + i + d*r**4 and give d.
-2738
Rearrange (6 + 2 + 28)*(2*i - 2*i + i) + 2*i - i + 19*i + (3 + 1 - 2)*(4*i - 2*i - 3*i) - 2*i - 3*i + 3*i to the form n + r*i and give r.
52
Rearrange 2*a + 55 + 154 + 2*a + 36 to the form k*a + d and give k.
4
Express (3 - 3 - 2*l)*(4*l**2 + 3*l**2 - 28*l**2) + 2*l**3 + 1 - 1 + (l + 1 - 1)*(1343 - 1343 + 110*l**2) in the form k*l**2 + z*l**3 + t + y*l and give z.
154
Express (-5 + 1 + 3 - 4 + 1 + 2 + (-1 - 3 + 3)*(5 + 4 - 7))*(-87*k - 118*k + 1 + 8*k) in the form a + w*k and give w.
788
Express 142*n - 264*n + n**3 + 133*n + 185*n + 27*n + n**4 as u + h*n**4 + r*n**3 + m*n + f*n**2 and give m.
223
Rearrange 263236*n**4 - n + 4 + 13 - 263239*n**4 - 2*n**2 + 8*n to the form r*n + h + q*n**3 + g*n**4 + p*n**2 and give g.
-3
Rearrange -5*s**4 + 3*s**4 + s**4 + (-386*s - 347*s + 182*s)*(s**3 - 2*s**3 - s**2 + 0*s**2) to n + z*s**4 + c*s + g*s**3 + u*s**2 and give z.
550
Rearrange (0 + 0 - 2*l - 3*l + 5*l + 0*l + 4 - 4 - l + (-2*l + 2*l - 2*l)*(-2 - 1 + 2) + 2*l + 4 - 4)*(-59 - 776 - 596 - 463) to d + f*l and give f.
-5682
Rearrange -98*y - 7 + 175885*y**2 - 87937*y**2 - 87946*y**2 to t*y**2 + p*
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*p + 3*p + 53 - 24. Calculate d(-6).
-7
Let y(j) = -6*j + 33. Let r(q) = -q + 5. Let t(o) = -5*r(o) + y(o). What is t(-6)?
14
Let d(a) be the second derivative of -a**7/840 + 7*a**6/360 - 7*a**5/120 + 7*a**4/24 + 3*a**3 + a. Let j(h) be the second derivative of d(h). Give j(6).
1
Suppose 0 = -2*k - 3*m - 21, -4*m = -2*k - 0*m - 14. Let n = k + 4. Let w(i) = -i**3 - 3*i**2 + 6*i - 5. What is w(n)?
15
Let u(q) = -q. Let x be u(3). Let r be (-21)/(-63) - 17/x. Let d(j) = 7*j**3 - 6*j**3 + r*j**2 + 1 + j + j + j. What is d(-2)?
11
Let s = -242 - -246. Let v(c) be the third derivative of -1/12*c**s + 0 + 5*c**2 + 0*c + c**3. Calculate v(5).
-4
Let k be (-16)/(-20)*(-5)/(-2). Let z(l) = 5*l + l**3 + 2*l - 2 - 7*l - l - 5*l**k. Let v be z(5). Let t(p) = -p**2 - 7*p - 6. Give t(v).
-6
Let n(r) be the second derivative of 0 + 2/3*r**3 + 1/12*r**4 + 11*r - 1/10*r**5 - 3/2*r**2. Let f(t) = -t + 8. Let p be f(6). What is n(p)?
-7
Suppose 4*z - 44 = -60. Let w(j) = 7*j - 2. What is w(z)?
-30
Let x(z) = z + 12. Let a(s) = s**2 + 15*s + 35. Let k be a(-11). What is x(k)?
3
Let i(m) = -6*m**3 - 8*m**2 - 4*m - 3. Let o be i(-3). Suppose -95*n + 16 = -o*n. Let s(z) = z**2 + 4*z + 3. Give s(n).
3
Let f(h) be the second derivative of h**3/6 - 5*h**2/2 + 11*h. Let x = 33 - 22. Let n be f(x). Let t(k) = k**3 - 6*k**2 - 2*k + 1. Determine t(n).
-11
Let f(l) = -l**2 + 14*l - 49. Let u(m) = m**3 - m**2 + 2*m - 3. Let i be u(2). Determine f(i).
-4
Let s(l) be the second derivative of l**5/20 - l**4/12 + l**3/6 + 21*l**2/2 - 7*l - 3. Give s(0).
21
Let r(t) be the third derivative of -t**4/24 - t**3/2 - 14*t**2 + 3. Calculate r(9).
-12
Let f(i) be the first derivative of i**3/3 - 15*i**2/2 + i - 227. Calculate f(6).
-53
Let p(a) = -4*a - 49. Let j(q) = -3*q - 34. Let z(g) = -7*j(g) + 5*p(g). What is z(-6)?
-13
Let z(d) = 239*d - d**3 + 9 - 485*d + 14*d**2 + 232*d + 3. Calculate z(13).
-1
Let a(w) be the second derivative of -1/2*w**3 - 5/2*w**2 + 1/3*w**4 + 0 - 2*w + 1/20*w**5. Determine a(-4).
7
Suppose -4*y = -11 - 1. Let f(t) = -6*t + 3 + 9*t - t**y - 4. Determine f(-3).
17
Let i(r) = 4*r**2 + 4*r + 2. Let h(m) = 7*m**2 + 8*m + 3. Let t(x) = 3*h(x) - 5*i(x). Let s = -103 - -97. Give t(s).
11
Let r(m) = 4*m - 43. Let o be r(10). Let c(u) = -u**3 - 3*u**2 + 2. What is c(o)?
2
Suppose -3*r - 4 = -2*r + 3*s, -2*s = 4. Let j(a) = -a + r*a + 15 - 5. Let q be (6/(-4) + 2)/(-1)*(-26 - -26). Determine j(q).
10
Suppose -2*p + 6 = p. Let b(f) = -f**3 - 1931*f + 1931*f - p*f**2. Give b(-2).
0
Let d = 9 + -3. Suppose -3*n = -v - 145, -2*n + 137 = n + v. Let c(t) = -t - 42 + n - t. Calculate c(d).
-7
Let v(w) be the third derivative of -w**6/30 - w**4/24 + 11*w**2 - 2. Let x be (-6)/(-18) + 4/6. Give v(x).
-5
Let n be 0/((-3)/((-3)/2)). Let t = 55 + -53. Let o(h) = -3 + 6 + h**2 - t*h**2 - h. What is o(n)?
3
Let p(t) = 3*t**2 + 6*t + 5. Let q = -1391 - -1386. Give p(q).
50
Let l(b) = 2*b**3 - 2*b + 0*b**3 + 2*b**2 + 0 - 1. Suppose 9 = 3*x + 12. Let w be -1*(x/6 + (-130)/(-60)). Determine l(w).
-5
Let y(m) = -m**2 + 2*m + 1. Let w(a) = -a**2 + 2*a + 2. Let c = 64 - 67. Let r(g) = c*w(g) + 2*y(g). What is r(5)?
11
Let z(c) = -7*c**3 + 4*c**2 + 2*c. Let w(r) = 9*r**3 - 4*r**2 - r - 2. Let k(j) = -3*w(j) - 4*z(j). What is k(5)?
6
Let x(y) = -y**3 - y**2 + y + 12. Let r be (2 + -5)/((-3)/(-2)). Let o be 0/(((-30)/(-20))/((-3)/r)). What is x(o)?
12
Let o be (6 + -1)/(264/(-36) - -7). Let x(r) = 2*r + 21. Give x(o).
-9
Suppose -18*k + 150 = 6. Let v(c) = -2*c + 13. What is v(k)?
-3
Let b(x) be the first derivative of -x**4/4 + 4*x**3/3 + 4*x**2 - 6*x - 2. Suppose 5*p = 2*s + 36, 3*s - 9 = -3*p - 0*p. Suppose -3*d = -p - 9. Calculate b(d).
9
Let f be 2/(-4) - 26/4. Let d be 124/20 - (0 + (-3)/(-15)). Let n(p) = -d + 1 - p + 5. Give n(f).
7
Let p(x) = x**3 - 6*x**2 + 4*x - 3. Let b be (-1 - -5)*-5*1/(-4). Determine p(b).
-8
Let z(f) = -1 + 4*f**3 - 2*f**2 + 2*f - 2*f**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
4) - (-7 - 1)?
91
Suppose m + 8 = 3*m. Suppose -5*d + 28 + 7 = 0. Calculate the lowest common multiple of d and 12/(((-6)/(-10))/(6/m)).
210
Let y be 1214/(-8)*(-8 + 4) + 0. Let o = y - 6686/11. Calculate the common denominator of o and -74/9.
99
Let a be (0 - 147)*18/(-27). Suppose -4*i + a + 10 = 0. What is the least common multiple of (-9 - (0 + -10))/((-1)/(-3)) and i?
27
Suppose -x + 50 = -4*u, u = 2*x + 27 - 92. Calculate the lowest common multiple of x and 285.
570
Let f(l) = -l**3 - 13*l**2 + 28*l - 5. Let m be f(-16). What is the common denominator of 20/m*83 - 5 and 115/72?
504
Let g(v) = v**2 - v. Let d(h) = 189*h**2 + 18. Let a(q) = d(q) - 3*g(q). Let k be a(-8). Let i = k - 166473/14. What is the common denominator of -113/20 and i?
140
Let a be 140347/(-26026) + 49 + -44. Let v = 1/338 + a. Calculate the common denominator of v and -38.
77
Suppose 207 = 52*r + 883. Let u(v) = 2*v**2 + 30*v + 136. What is the least common multiple of 42 and u(r)?
84
Let l = -357312 + 28942312/81. Let p = -886/47 + 38126/1833. Calculate the common denominator of l and p.
1053
Let i = 52276310084603218/337239 + -155012647070. Let a = 4/6363 + i. Let x = a + 4769/477. Find the common denominator of x and 86/15.
45
Suppose 44*o - 2133 + 291 = 1546. What is the least common multiple of 1701 and o?
18711
Suppose 0 = 5*r - 3*d - 0*d - 2958, -3*d = 2*r - 1158. Calculate the smallest common multiple of 2940 and r.
2940
Suppose -a + 4*r - 35 = 0, 0*r - 5*r + 10 = 0. What is the least common multiple of 262/16 - a/(-72) and 80?
80
Find the common denominator of 169/360 and -7 - (33177/(-4836) - (-24)/468).
11160
Suppose 3*c - 315 = -y, -390 = -4*c - 2*y + 32. What is the common denominator of -51/91 and 3 - (717/c - (-7 - -10))?
728
Let b(s) = -s**2 + s. Let k be b(-1). Suppose -22 = -2*i - 3*x, -3*i - 11 = -4*i - 5*x. Calculate the common denominator of k/i + (-8076)/1320 and 73/12.
60
Suppose -4*p + 141 + 187 = 4*q, 3*p - 416 = -5*q. Suppose 0*f + 4*f - 525 = -5*k, -63*k = -4*f - 359. What is the least common multiple of f and q?
1955
Suppose 4*v - 140 = -48*y + 38*y, 0 = -4*y + 5*v + 122. Suppose x = -4*r + 6 - 4, -2*r + 28 = 5*x. Calculate the least common multiple of y and x.
18
Let t(p) = 588*p**3 + 120*p**3 + 85 + 90 - p**2 - 2*p - 183. Let u be t(-2). Let l = 79475/14 + u. Find the common denominator of -5/16 and l.
112
Suppose 176 = -5*d + 3*k + 21, 2*d = -2*k - 46. What is the common denominator of 51/28 and (-364)/(-32)*7/d?
224
Let w = 207725 - 31158583/150. What is the common denominator of 79/2250 and w?
2250
What is the common denominator of (-106)/(-11) + (39 - 51) and -37/219?
2409
Let s(p) = p**2 + 11*p + 30. Let v = -1 + -7. What is the smallest common multiple of 4 and s(v)?
12
Suppose -1341*o + 1336*o = -40. Calculate the lowest common multiple of o and (-4)/(-18) + (-574)/(-9).
64
Suppose 10 = 5*n - 4*v, -v + 6*v = 0. Let a = 4 - n. What is the least common multiple of a and 130/1105 - (8/68 - 2)?
2
Let k be 61872/36 + (3 - (-24)/(-9)). Suppose k*q = 1722*q - 45. What is the least common multiple of 28 and q?
420
Let s = 99 + -93. Suppose -3*w - 3*v = s, 0 = 3*w - 3*v - v - 29. Suppose -i + 16 = w*i. Calculate the lowest common multiple of i and 6.
12
Let x(q) = q**3 - 31*q**2 - 11*q - 7. Let f be x(31). Let c = -1051/3 - f. Let m = -3270 - -19667/6. Calculate the common denominator of m and c.
6
Let n = -34726 + 1458589/42. Calculate the common denominator of 89/918 and n.
6426
Suppose -5*a - 4*n + 344 = -2*a, 0 = -2*a - 2*n + 232. Suppose 7*k = k - a. Calculate the smallest common multiple of 2 and 1/((-2)/k*2).
10
Suppose 0 = -2*g - 0*g + 4*j + 4, 0 = -2*g + 3*j + 4. Let m(l) = -l**3 + 8*l**2 + 7*l - 5. Calculate the least common multiple of m(8) and -7*g*(2 - 10/4).
357
Let h(p) = -p**3 - 38*p**2 - 36*p + 121. What is the least common multiple of 6 and h(-37)?
84
Suppose 5*w - 240 = 12*c - 16*c, 5*w - 60 = -c. What is the least common multiple of 3240 and c?
3240
Let j be ((-471614)/9555)/(-1 + 1 + -38). Let w = j - 91/285. Calculate the common denominator of w and 173/42.
294
Suppose -3*z = -3*i + 28 + 8, 5*z = i - 20. What is the lowest common multiple of 178 and i?
890
Let x(i) = 5*i**2 + 3*i. Let a be (-1 - -7)/3*6. Calculate the least common multiple of x(-4) and (-10 + a)/(2 - 6/4).
68
Let l(n) = n**3 + 7*n**2 + 28*n + 126. Calculate the least common multiple of l(-5) and 1053.
4212
Let f(m) = -2*m**3 - 17*m**2 - 17. Let t(o) = 2*o**3 + 18*o**2 + o + 18. Let n(g) = 5*f(g) + 4*t(g). Calculate the least common multiple of n(-7) and 73.
584
Let b = 9457727 - 255070556/27. Let m = b - 10672. Calculate the common denominator of m and -157/66.
594
Let a be (-2)/(-5) + (-278)/700. Let v = a - -12767/2800. What is the common denominator of v and (-229)/(-22) + 6 + -14?
176
Suppose q = 31 + 23. Suppose 0 = 2*u - 2*a - 23 - 45, 4*a - 44 = -u. What is the lowest common multiple of u and q?
108
Suppose 45*t - 265 = -85. What is the common denominator of (-1 - (-6)/t) + 2349/243 and (-94)/(-12)*(0 + -3)?
6
Let n = -6689693/556982255 - 4/248099. What is the common denominator of n and -
|
{
"pile_set_name": "DM Mathematics"
}
|
n a prime number?
False
Suppose -n = 5 - 9. Suppose -2*k - 5*v + 893 = -2*v, 0 = 4*v - n. Is k a prime number?
False
Suppose 7*u - 10*u = 3861. Let v = -754 - u. Is v a prime number?
False
Let a(d) = -45952*d - 161. Is a(-1) prime?
False
Let m(s) = 1 - 8*s + 4*s + 7*s. Let t be (-2)/(-8) + 282/24. Is m(t) prime?
True
Suppose 0 = -4*x + 30 + 18. Let m = -10 + x. Suppose m*j - 97 = -5. Is j composite?
True
Let o be 0*7/21 + 12/(-2). Is 22*((-819)/o + -2)/1 a composite number?
True
Suppose -2*a + a - 3*s + 7568 = 0, 3*s = -5*a + 37852. Suppose 0 = -2*f + 4*j + 5026, 2*f - 5*f = 2*j - a. Is f composite?
False
Let x be (0 + (-3 - -2))*1 - -4. Suppose -195 = -x*s + 2*c, 3*s - 118 = c + 80. Is s prime?
True
Let w(y) = 993*y + 47. Is w(20) a prime number?
False
Let p = 11523 + -1696. Is p a prime number?
False
Let i be (-10)/15*9/(-6) + 2. Suppose d = i*t + 6*d - 6938, 4622 = 2*t + 4*d. Is t composite?
True
Let q(z) = 8*z**2 + 20*z - 49. Is q(12) prime?
False
Let b = -6 + 13. Let j be 2775/b - (-3)/(-7). Let y = -281 + j. Is y a composite number?
True
Let p be (-13)/39 + 10/3. Suppose -p*b = 3*a - 2145, b + 5*a - 1418 = -b. Is b a prime number?
True
Let i(y) = y + 1. Let v be i(1). Suppose -j + 3*t = v*t - 192, 5*t - 930 = -5*j. Suppose -5*c + j = 2*u, 4*c + 0*u = -u + 150. Is c composite?
False
Let y = 6912 - 2209. Is y a prime number?
True
Suppose -1720 = -6*y + 566. Suppose y = 3*i - v, -4*i - 3*v + 254 = -2*i. Is i composite?
False
Is (-8)/(-28) - (-603387)/21 a prime number?
False
Let x = 94 + -94. Suppose -4*t + x*c - 5*c = -1518, 5*c - 10 = 0. Is t a prime number?
False
Suppose -3*t = 5*t - 16. Is ((t - 3) + 2)*1345 a composite number?
True
Is ((-102)/30)/(1/(-1795)) composite?
True
Suppose 4*f - 24 = -2*f. Let l(j) = 116*j - 15. Is l(f) prime?
True
Let h be 2/(-5) - 19520/(-50). Suppose -4*k - k = -20, 3*v - 3*k + h = 0. Let p = v + 385. Is p composite?
True
Let h = 9608 + -23834. Let p be (-2)/3 + h/(-9). Suppose 3*w = 7*w - p. Is w a composite number?
True
Let d be (-2)/(-3)*(-9)/2*-49. Let k = d - -368. Is k a prime number?
False
Let q(v) = -v**3 - 6*v**2 - v - 1. Let g be q(-6). Suppose -g*b - 223 = -5*d + 232, -4*d - b = -354. Suppose -5*u + 4*u = -d. Is u a prime number?
True
Suppose -3*y + 698 = -238. Suppose 9*r + y = 5181. Is r a composite number?
False
Suppose 0 = 4*k - 7*a + 2*a - 65, -3*k = 2*a - 66. Suppose -k = -5*c, 3*z = -2*c - c + 804. Suppose 4*i = z + 208. Is i a prime number?
False
Suppose -410*d = -391*d - 605701. Is d a composite number?
True
Let f(r) = r**2 - 49. Suppose -i + 3*i = 0. Let a be f(i). Is -2*(-2)/(-4)*a a composite number?
True
Let i be (10/3)/((-18)/(-27)). Suppose i*u = -0*u - 5*w + 215, -4*u = -3*w - 158. Suppose 0 = 5*x - 74 - u. Is x prime?
True
Suppose 3 = 3*d + 4*o, -5*d + d + 5*o - 27 = 0. Is d/((-3)/2293)*1 a prime number?
True
Let k = 4799 + -2340. Is k prime?
True
Suppose -7*w - 626 = -1557. Let m = 168 + w. Is m prime?
False
Let c(h) = h**3 - h**2 + 2*h - 11. Let z be c(0). Let u be 1322/z + 8/44. Let g = -67 - u. Is g a prime number?
True
Suppose 2*q + 1986 = 5*q. Is q a prime number?
False
Let v(f) = 94*f - 99. Is v(28) prime?
False
Suppose -361 = -14*b - 5*b. Suppose 0 = -15*k + b*k - 9452. Is k a prime number?
False
Suppose -9*f - 650 = -4*f. Let g = f + 212. Is g prime?
False
Suppose 6 = 2*c, 2*j - c + 7 = -2. Is 2720/(0 + 4) - j composite?
False
Suppose o - 4*q = -0*q + 4361, -13138 = -3*o + q. Is o prime?
False
Suppose m - 6 = -m. Suppose -m*z = -4 - 5. Suppose -125 = -z*f + 112. Is f a composite number?
False
Suppose 7*v - 24 = 4. Suppose -2*y - 2535 = -v*d - 207, d - 591 = -4*y. Is d a prime number?
False
Let t = -21 + 20. Let q = t + 4. Let p(l) = 5*l - 1. Is p(q) composite?
True
Suppose 4*g = -3*i - 37, -3*g - 5*i = 2*g + 40. Let w = g - -15. Suppose -2*d = w*d + 2*f - 2218, -5*d = -3*f - 2756. Is d a prime number?
False
Let z(f) be the third derivative of 3*f**5/20 + 5*f**4/24 - f**3/2 - f**2. Suppose -2*n = 5*h - 33, -n - 5*h = -5*n + 21. Is z(n) a prime number?
False
Let h be ((-3)/(-9))/((-1)/(-9)). Suppose -93 + 510 = -h*o. Let l = -8 - o. Is l composite?
False
Let p(q) = q**3 + q**2 + 7*q - 1. Suppose -26*k = -25*k - 6. Is p(k) composite?
False
Let s be 11*-1 - (-28)/7. Let l(n) = 2*n**2 - 1 - 1 + 3*n**2 + 8*n. Is l(s) composite?
True
Suppose 3*z = -4*l, 2*z + 7 = -1. Let i = -5 + 7. Suppose i*o - 5*o = a - 346, 2*a + l*o = 677. Is a composite?
False
Suppose -3*g = -5*b - 7248, 14 = -b + 11. Is g composite?
False
Let u(p) = 13*p - 14. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
prob of sequence sfzj when four letters picked without replacement from psjjzlf.
1/420
Four letters picked without replacement from lclccyyyqzlll. What is prob of sequence zycc?
3/2860
Three letters picked without replacement from zum. Give prob of sequence muz.
1/6
Calculate prob of sequence ca when two letters picked without replacement from {c: 6, a: 12}.
4/17
Two letters picked without replacement from rwwwwwwwwwwwwwwwrrww. What is prob of sequence rw?
51/380
Four letters picked without replacement from {h: 4, r: 1, n: 2, l: 1, w: 8}. Give prob of sequence wnlr.
1/2730
Four letters picked without replacement from {f: 2, j: 3}. What is prob of sequence fjjf?
1/10
Three letters picked without replacement from {e: 10, d: 4}. What is prob of sequence eee?
30/91
Four letters picked without replacement from {s: 1, p: 3, j: 1, h: 1, w: 6, g: 6}. Give prob of sequence gpsw.
1/680
Four letters picked without replacement from xxxxxaxaxxxxxaxxaxax. Give prob of sequence xaax.
35/969
Four letters picked without replacement from zjmjjnl. Give prob of sequence zjlz.
0
What is prob of sequence fpi when three letters picked without replacement from {i: 2, s: 1, y: 2, f: 1, o: 1, p: 2}?
1/126
Calculate prob of sequence esss when four letters picked without replacement from {s: 3, e: 1}.
1/4
Calculate prob of sequence nkq when three letters picked without replacement from qkqoqqnqokok.
1/88
What is prob of sequence wtuv when four letters picked without replacement from wuvyyut?
1/420
Calculate prob of sequence goog when four letters picked without replacement from {g: 2, o: 9}.
1/55
Four letters picked without replacement from lablalwlllbwa. Give prob of sequence aalb.
3/715
Two letters picked without replacement from {w: 3, b: 3, r: 3, a: 5, n: 2, u: 3}. Give prob of sequence rr.
1/57
Three letters picked without replacement from ggbbggggbbgbgbggbgg. What is prob of sequence bgb?
28/323
Calculate prob of sequence nt when two letters picked without replacement from ncrrcrrrrrtrrrrcc.
1/272
Calculate prob of sequence uxux when four letters picked without replacement from uuuuxxuuxxuxuxxu.
9/130
Calculate prob of sequence oog when three letters picked without replacement from uigoy.
0
Four letters picked without replacement from {x: 5, q: 2, a: 1, d: 7, v: 4, y: 1}. What is prob of sequence xqqa?
1/11628
Four letters picked without replacement from {s: 6, p: 8, z: 1, l: 3}. Give prob of sequence spsz.
1/306
Two letters picked without replacement from hmhmmhmvvhvh. What is prob of sequence mm?
1/11
Four letters picked without replacement from uugpgggburrbpgrpg. What is prob of sequence brpp?
3/4760
Three letters picked without replacement from {b: 1, a: 11, o: 2}. Give prob of sequence oaa.
55/546
Three letters picked without replacement from opopopo. What is prob of sequence pop?
4/35
Two letters picked without replacement from wwsssascwssaswwww. What is prob of sequence ss?
21/136
Calculate prob of sequence aco when three letters picked without replacement from {c: 1, o: 1, a: 2}.
1/12
Calculate prob of sequence tnn when three letters picked without replacement from idltnnq.
1/105
What is prob of sequence sbwo when four letters picked without replacement from sssosbywsboo?
1/396
Calculate prob of sequence pcr when three letters picked without replacement from {c: 1, p: 1, r: 16}.
1/306
What is prob of sequence peh when three letters picked without replacement from eeeleeheleeeehelekp?
4/969
What is prob of sequence eoo when three letters picked without replacement from {o: 10, e: 4}?
15/91
Four letters picked without replacement from {t: 3, u: 4, k: 6, i: 2}. Give prob of sequence kitu.
2/455
Calculate prob of sequence mcb when three letters picked without replacement from {m: 5, c: 3, b: 1}.
5/168
What is prob of sequence ha when two letters picked without replacement from {f: 4, h: 2, w: 2, a: 1}?
1/36
Three letters picked without replacement from {o: 1, v: 3, h: 4, c: 2, w: 1}. What is prob of sequence hoh?
2/165
Two letters picked without replacement from {l: 1, o: 1, d: 4, z: 4, t: 1, u: 1}. Give prob of sequence ut.
1/132
Calculate prob of sequence hm when two letters picked without replacement from yncffnccnmhc.
1/132
What is prob of sequence ff when two letters picked without replacement from fuufffuuff?
1/3
What is prob of sequence lx when two letters picked without replacement from {n: 1, l: 3, x: 1, p: 5, i: 1, m: 1}?
1/44
What is prob of sequence iin when three letters picked without replacement from {p: 2, i: 8, n: 9}?
28/323
Calculate prob of sequence le when two letters picked without replacement from leeel.
3/10
What is prob of sequence ntnn when four letters picked without replacement from tnnnttnntnnt?
35/396
Four letters picked without replacement from {u: 3, h: 2, p: 1, k: 2, q: 3, w: 3}. Give prob of sequence pkwk.
1/4004
Three letters picked without replacement from wcwcowwwocsw. What is prob of sequence wcw?
3/44
Four letters picked without replacement from {k: 2, r: 7, p: 2, a: 1, i: 6}. What is prob of sequence aaia?
0
Four letters picked without replacement from {s: 5, a: 2}. Give prob of sequence sssa.
1/7
Calculate prob of sequence mjli when four letters picked without replacement from mfimfffoiomlmfjmf.
1/5712
What is prob of sequence gu when two letters picked without replacement from {u: 1, g: 1, s: 1}?
1/6
What is prob of sequence fbbb when four letters picked without replacement from {b: 3, f: 12}?
1/455
Calculate prob of sequence nccn when four letters picked without replacement from {c: 4, n: 7}.
7/110
Calculate prob of sequence no when two letters picked without replacement from {n: 5, o: 2, p: 5}.
5/66
What is prob of sequence gy when two letters picked without replacement from wggkkwbgwgmgy?
5/156
What is prob of sequence fzrf when four letters picked without replacement from {f: 6, e: 2, r: 4, z: 1, b: 2}?
1/273
Three letters picked without replacement from hshbnmf. What is prob of sequence nmf?
1/210
Three letters picked without replacement from rlwllwlwwwlww. Give prob of sequence lrw.
35/1716
Calculate prob of sequence bb when two letters picked without replacement from biibibbiibiiiibbiibb.
18/95
Three letters picked without replacement from fffllflxfxfffffff. What is prob of sequence xxl?
1/680
Calculate prob of sequence nhi when three letters picked without replacement from {h: 1, p: 1, m: 1, n: 1, i: 1}.
1/60
Calculate prob of sequence zz when two letters picked without replacement from {l: 2, o: 1, z: 2, n: 2, g: 1}.
1/28
What is prob of sequence oco when three letters picked without replacement from {b: 7, o: 5, c: 7}?
70/2907
Two letters picked without replacement from {v: 1, z: 1, t: 1, y: 1, l: 1}. What is prob of sequence tv?
1/20
What is prob of sequence zq when two letters picked without replacement from {q: 2, p: 11, e: 1, z: 1, r: 1}?
|
{
"pile_set_name": "DM Mathematics"
}
|
ive o*r(d) + 2*l(d).
-5*d
Let b(f) = -1. Let m(z) be the second derivative of -z**4/6 + 5*z**2/2 - 6*z. Calculate -4*b(t) - m(t).
2*t**2 - 1
Let q = -5 + 4. Let z = 2 - q. Let r(v) = 4*v**3 - v**2 + 3. Let n(k) = -7*k**3 + 2*k**2 - 5. Determine z*n(u) + 5*r(u).
-u**3 + u**2
Let k(m) = -3*m**3 + 3*m + 1. Let p(o) = 1 + 4*o - 19*o**3 - 2*o + 16*o**3. Give -2*k(x) + 3*p(x).
-3*x**3 + 1
Let y(m) = 5*m**3 + m**2 + m + 1. Let x be y(-1). Let k(l) = -2*l - 5. Let d(c) = 3*c + 6. Let s be 6/(1 + (-6)/2). Give s*d(h) + x*k(h).
-h + 2
Let r(o) = 2*o**3 - 5*o. Let k(h) = 5*h**3 - 14*h. Determine 4*k(p) - 11*r(p).
-2*p**3 - p
Let l(p) = -p**2 - p - 1. Let d(z) = -3*z**2. What is -d(g) + 2*l(g)?
g**2 - 2*g - 2
Let g(u) = -10*u**3 - 11*u**2 + 7*u + 7. Let h(y) = -5*y**3 - 6*y**2 + 4*y + 4. Determine 4*g(a) - 7*h(a).
-5*a**3 - 2*a**2
Let b(d) = -10*d**3 + 12*d**2 + 12*d. Let v(o) = o**3 + o**2 + o. What is b(a) - 12*v(a)?
-22*a**3
Let o(u) = -5*u - 17. Let x(s) = -3*s - 11. Suppose 2*j = 5*j + 24. Determine j*x(k) + 5*o(k).
-k + 3
Let p = -7 + 0. Let s = 12 + p. Let v(h) = -4 - h + s + 0. Let u(j) = -j**3 + j. Calculate 2*u(x) + 2*v(x).
-2*x**3 + 2
Let v(z) = 8*z - 4. Let f(s) = -7*s + 4. Let a(h) = 5*f(h) + 4*v(h). Suppose n + 4*d - 23 = 0, 5*d - 31 = -5*n + 9. Let l(o) = 2*o - 3. Give n*a(b) + 4*l(b).
-b
Let j(z) = -9*z**2 - 4*z + 5. Let y(q) = 5*q**2 + 2*q - 2. Calculate 6*j(c) + 14*y(c).
16*c**2 + 4*c + 2
Let d(p) = -24 + 3*p + 24. Let w(f) = 4*f**3 - f**2 + f - 1. Let b be w(1). Let o(a) = 3*a - b*a + a. What is 6*d(l) - 17*o(l)?
l
Let o(a) = a - 7. Let k(s) = 2*s - 15. Suppose -3*w + 62 = 5*v, -5*v + 4*w = 20 - 89. Give v*o(x) - 6*k(x).
x - 1
Let v(b) = -5*b**3 + 6*b**2 + 4. Let g(k) = -k**3 + k**2 + 1. Suppose 0 = -5*j + 4*p + 3, -j + 0*j = -5*p - 9. What is j*v(r) + 4*g(r)?
r**3 - 2*r**2
Let l(a) = -a. Let c(u) = 20*u**2 - 12*u. What is -c(s) + 12*l(s)?
-20*s**2
Let k = 2 + -2. Suppose d + 15 = -k. Let y = d + 10. Let h(q) = -4*q**3 - 5*q**2. Let o(l) = 2*l**3 + 2*l**2. Determine y*o(c) - 2*h(c).
-2*c**3
Let k(l) = -22*l - 5. Let n(b) = 527*b + 119. Determine -119*k(o) - 5*n(o).
-17*o
Let o(j) be the third derivative of -j**5/15 - 5*j**4/24 + 2*j**2. Let f = 7 + -5. Let w(k) = 7 - f*k**2 - 2*k - 7. What is -2*o(n) + 5*w(n)?
-2*n**2
Let m(y) = -2*y - 1. Let l(s) = -11*s - 4. Give -l(v) + 6*m(v).
-v - 2
Let y be (3 + (-4)/1)/(-1). Let i(t) = t**3 - 2 - 5*t + 4*t + y. Let v be 2 + 2/4*0. Let c(o) = 2*o**3 - 2*o - 2. Determine v*c(x) - 5*i(x).
-x**3 + x + 1
Let t(s) = -10*s + 16. Let p(r) = -r + 1. Give -22*p(o) + 2*t(o).
2*o + 10
Let i(j) = -2*j**3 + 88*j**2 - 10*j + 10. Let c(x) = -x**2 + x - 1. Determine -10*c(l) - i(l).
2*l**3 - 78*l**2
Let a(h) = h + 1. Let k be (0 - 0)/(-11 - -7). Let m(l) = -2*l + k + 5 - 6. What is -4*a(x) - 3*m(x)?
2*x - 1
Let g(o) = 10*o - 4. Let j(f) = -20*f + 9. Determine -5*g(r) - 2*j(r).
-10*r + 2
Let z(p) be the second derivative of p**3/6 + p**2/2 + p. Let y be (3/(-5))/(1/(-10)). Let o(j) = -4*j - 6. Give y*z(f) + o(f).
2*f
Let n(l) = 1. Let i(a) = a**2 + a + 4. Suppose 0 = -113*o + 109*o - 16. Give o*n(z) + i(z).
z**2 + z
Let m(j) = -28*j - 17. Let p(f) = 7*f + 4. Determine -6*m(r) - 26*p(r).
-14*r - 2
Let z(m) = -5*m**3 - 4*m**2 + 7*m + 3. Let t(l) = -4*l**3 - 3*l**2 + 6*l + 2. Determine 3*t(v) - 2*z(v).
-2*v**3 - v**2 + 4*v
Let u(p) = 6*p**3 - 16*p - 118. Let d(i) = -2*i**3 + 5*i + 39. Give -16*d(c) - 5*u(c).
2*c**3 - 34
Let d(m) = -3*m. Let x(r) = -28*r. Give 24*d(f) - 3*x(f).
12*f
Suppose 9
|
{
"pile_set_name": "DM Mathematics"
}
|
-4*j + 9*l - 4 = 7*l, -4*j - 8 = -l for j.
-3
Solve d = -3*v + 9, 0 = 5*d - 2*d - 5*v + 15 for d.
0
Solve -12*s - 2 = 2*y - 13*s, 2*y - 4*s = -14 for y.
1
Solve 5*k + 15 = 11*y - 15*y, -3*k = 5*y + 22 for y.
-5
Solve -k - 5*p + 29 = 0, k - 4*p - 2 = -18 for k.
4
Solve 2*v = w + 13 - 3, -3*v + 3*w + 18 = 0 for v.
4
Solve 3*z + 25 = 5*k, z + 3*k = 6*k - 11 for z.
-5
Solve 5*w = 9*w - 3*r + 12, -3*w = 5*r - 20 for w.
0
Solve 2*f - 3*p = 7, 2*p + 5 = p for f.
-4
Solve 1 = 3*t + 2*c - 4*c, -4*c = -3*t - 7 for t.
3
Solve 4*t - 4*q = -16, -13*t + 11*t - 4*q = -4 for t.
-2
Solve 2*h = 4*f, 4*f = 2*h + 5*f + 5 for h.
-2
Solve -5*u + 10 = 5*a - 0*u, -4*a + 14 = -2*u for a.
3
Solve 0 = 4*g - 5*y - 27, 8*g - 3*y = 6*g + 15 for g.
3
Solve 4*k - 8 = 3*v, -5*k - 14*v + 45 = -9*v for k.
5
Solve 30*y - 25*y + 15 = 5*k, -2*k = 4*y + 18 for k.
-1
Solve -2*q + 19 = 5*d, -1 = q - d - 0*d for q.
2
Solve 0*o - 2*s = o + 13, 7 = -4*o + s for o.
-3
Solve -3*c + 4*k = 7*k + 3, -c + 5*k + 11 = 0 for c.
1
Solve 0 = j + 2*y - y + 6, 3*j = 4*y - 11 for j.
-5
Solve 4*j = -4*i - 16, -8 = -j - 0*i + 3*i for j.
-1
Solve -4*j - 3*q + 14 = 0, -4 = -5*j - 5*q + 11 for j.
5
Solve -12 = 3*w - 3*i, -50*i + 49*i + 3 = 0 for w.
-1
Solve 5*i + 3*n = 56 - 16, 2*n = 10 for i.
5
Solve -4*r + 2*x - 24 = -0*r, r = 3*x - 16 for r.
-4
Solve x = 5*c - 2, -4 = -2*c + x + x for c.
0
Solve -4*p = 2*l + 30, -1138*l + 1136*l = -p - 5 for p.
-7
Solve l = n - 5, 4*n = 3*l - 2 + 20 for n.
3
Solve 5*l - p + 32 - 2 = 0, 5*p = 4*l + 45 for l.
-5
Solve 2*k - 2*p - 4 = 0, -k - 5*p + 7 = -13 for k.
5
Solve -4*k = 5*h + 2 + 28, 18 = -4*h - 2*k for h.
-2
Solve 3*q + 3 = 3*d, 2*d - 6*q + 18 = -9*q for d.
-3
Solve 0 = 5*x - w + 20, 18*x + 32*w - 33*w + 72 = 0 for x.
-4
Solve 3*o - 3*p = -9, -16*o - 14 = -13*o - 4*p for o.
2
Solve 2*r - 12 - 4 = 4*h, 3 = -h for r.
2
Solve 3*l - 19 = 3*j - 4, l - 1 = -3*j for j.
-1
Solve 0 = b + d + 1, 1107*b - 1112*b + 7 = d for b.
2
Solve 2*z = -o, -11*z + 7*z - 2 = 3*o for z.
1
Solve 0 = -8*n + 5*n + 5*g + 9, -1 = -n + g for n.
-2
Solve 3*u - 12 = -4*z + 5, 1 = -z + u for z.
2
Solve 0 = -3*o + g - 11, 2*g - 3 = -5 for o.
-4
Solve -3*c - 5*o + 3*o + 5 = 0, c - 2*o = -9 for c.
-1
Solve 2*u + 4*p = 7*p + 15, 5*u + 5 = -p for u.
0
Solve -b - 9 + 0 = -3*i, 0 = 4*i - 12 for b.
0
Solve 0 = -2*k - 5*h + 13, 4*h = -5*k + 7 + 17 for k.
4
Solve 0 = 2*z - 3*u - 4, 0*z + 2*z = -5*u + 4 for z.
2
Solve -2*n + k + 4 = -k, 4*k - 28 = -5*n for n.
4
Solve s + 3*k = -7 + 15, -4*k + 7 = 5*s for s.
-1
Solve -5*j - 12 = 3*o - 2*j, 0 = 3*o + 4*j + 17 for o.
1
Solve -t + 2*r = -9, -4*t + t - 5*r - 6 = 0 for t.
3
Solve 5*u - v - 22 = 0, 3*u + 1 = 3*v + 7 for u.
5
Solve 5*s - 6 = s - 2*x, 21 = 2*s - 5*x for s.
3
Solve 2*t = 4*b + 20, 4*b = -2*t - 5 - 7 for t.
2
Solve -4*c + 4*s = 46 - 14, 5*s = -5*c - 10 for c.
-5
Solve -k + 27 = k - 5*o, 21 = 5*k + 3*o for k.
6
Solve -11 = -b + 4*i, 3*b + 5*i = 2*i - 12 for b.
-1
Solve 16 = 8*x - 4*x - 4*r, 0 = -4*x + r + 1 for x.
-1
Solve 17 - 8 = 4*h + 3*d, -3*h + 3*d - 9 = 0 for h.
0
Solve -9 = 3*z, -37 = 2*t + 3*t + 4*z for t.
-5
Solve 5*k - 29*j = -33*j + 33, k - 5*j = -5 for k.
5
Solve -8*p - 11 = 3*k - 4*p, -2*p = k + 7 for k.
3
Solve -4*n - 2*m = 12, 0*m + 15 = -5*n + 3*m for n.
-3
Solve -2*o = -95*n + 98*n - 15, 0 = -4*o - 5*n + 27 for o.
3
Solve -7*l + 3*l + 17 = -z, -z = -l + 5 for l.
4
Solve -3*x - 1 = 4*r + 17, 5*r - 5*x + 5 = 0 for r.
-3
Solve h + 17 = -4*t + 36, 2*t = 5*h + 15 for t.
5
Solve 0 = t - 2*h + 8, 4*h - 2*h - 6 = 0 for t.
-2
Solve 5*i - 2*j = 3 - 4, -3*i - 2*j = 7 for i.
-1
Solve -17*m + 18*m
|
{
"pile_set_name": "DM Mathematics"
}
|
s v prime?
False
Let a(i) = -303*i**2 - 1. Let o be a(1). Let s = o + 437. Is s a composite number?
True
Let o(j) = 2*j + 2. Let f(x) = -x - 3. Let k = -6 + -3. Let d be f(k). Is o(d) a composite number?
True
Suppose 2*h - 3*a - 48 + 13 = 0, 3*h = a + 56. Suppose -h = -o + 2*s + 24, o + 4*s = 67. Is o a prime number?
False
Suppose -2*t + p - 12 = 0, -3*p + 3 = -t - 3. Is (-3)/t*-6 + 118 composite?
True
Suppose 3035 = 3*l - 4*i, -i - 3*i - 4044 = -4*l. Is l a composite number?
False
Let x(z) = -5*z**3 + 3*z**2 - 3*z + 9. Is x(-4) a prime number?
True
Suppose -10 = -5*q, 2*d + 4*q - q - 300 = 0. Let l = 214 - d. Is l a prime number?
True
Suppose 2*m - 5*h - 247 = 0, -h = -0*m - 3*m + 377. Let f = 271 - m. Is f a prime number?
False
Let b(r) = 2*r**3 + 23 - r**2 - 3*r**3 + 2*r**2. Let d = -18 + 18. Is b(d) a prime number?
True
Suppose -10*x + 5*x = -215. Is x a composite number?
False
Suppose 3*s + 2*m + 2*m - 316 = 0, -4*s + 2*m = -458. Suppose 2*j + 2*u = 6, 5*u = 5*j - 2*j - 1. Is s - 6/4*j a prime number?
True
Suppose -x - 4*h = -3*x + 1262, 3155 = 5*x + 5*h. Let y(j) = j**3 - 2*j - 1. Let w be y(2). Suppose -x = -3*g - s, 3*g - 258 = w*s + 381. Is g prime?
True
Suppose 0 = 35*v - 28*v - 2345. Is v a prime number?
False
Let q(s) = s + 5. Let t be q(-3). Let h(l) = l**3 - 8*l**2 + 7*l + 2. Let x be h(7). Suppose -16 = -4*g, -x*v + t*g = 6*g - 30. Is v composite?
False
Let x(j) = -2*j - 8. Let a be x(-5). Let w = 1 + -1. Suppose w = -a*k - 8, 0*k = z + 3*k - 67. Is z prime?
True
Suppose 3 = 3*n - 6*n + 3*a, 0 = 3*n + 4*a + 38. Let k be 326/14 - n/(-21). Suppose 3*p - 4*p + k = 0. Is p prime?
True
Suppose 5815 = 8*b - 3*b. Is b composite?
False
Let d = 28 - 46. Is (14/3)/(d/(-351)) composite?
True
Let o = -13 + 9. Is (-14)/2*(o - 15) prime?
False
Suppose -3*z + 177 = -6*z. Let y = 121 + z. Let l = y + 21. Is l composite?
False
Suppose 6*k = k. Suppose 2*j + 2 = -k. Is -3 + (-3)/j - -15 a composite number?
True
Let b(u) = -u**2 + u. Let j be b(-1). Let l be (1 + -1)*(-1)/j. Suppose l = -i + 11 - 1. Is i a prime number?
False
Let v = 8 + -2. Let w(q) = 2*q + 0*q - q - v + q. Is w(8) a prime number?
False
Suppose -3*k - 4*w = 16, 5*w - 18 = 3*k + 16. Let t(l) = -1 + 9 - 9*l + 3. Is t(k) composite?
False
Let o be 12/10*80/24. Let w(a) = 5*a**2 - 4*a + 3. Is w(o) a prime number?
True
Let n(v) = -v + 9. Let b be n(7). Suppose -7*q + 905 = -b*q. Is q composite?
False
Let k be 3/((-30)/(-152))*5. Suppose -4 = -2*n - 2*s, -5*n - 2*s + 26 = 7. Suppose 0 = -3*v - n*j + 57, k = 4*v - j + 3*j. Is v prime?
True
Let n(b) = 4*b**2 - 2*b - 2. Let m be n(-8). Let c = -143 + m. Is c composite?
False
Suppose 0 = x - 63 - 1. Let a = x - 39. Is a a prime number?
False
Suppose -v - 5 = -0*t + 5*t, 5*v + 25 = 3*t. Suppose t = -5*k - 5*m + 370, 3*k - 3*m = -k + 310. Let r = -39 + k. Is r composite?
False
Let l(d) = -53*d + 2. Is l(-9) composite?
False
Let m be (-3 + 0)/(9/(-15)). Suppose 41 = 2*h - m*z, -3*h + 14 = z + z. Suppose -3*u = 4*c - h - 33, -2*c + 33 = -u. Is c a composite number?
True
Suppose 3*o - 166 - 2813 = 0. Is o composite?
True
Let h = 2 - -2. Let u be 652/20 - h/(-10). Suppose 0 = -3*d - 3, -5*t + 2*d + u + 304 = 0. Is t composite?
False
Let m = -6 + 9. Suppose -3*i = m*q - 216, -4*q - 2*i + 82 = -216. Is q a composite number?
True
Suppose x = -m + 214, 154 = m - x - 54. Is m prime?
True
Let d = -18 - -22. Suppose -690 = -2*n - d*l - 0*l, -4*n + 5*l = -1432. Is n composite?
False
Let r be (10/4 - 2)*108. Let a = r - 11. Is a a prime number?
True
Let w(d) = -d - 4. Let b be w(-4). Suppose -s - 4*s + 60 = b. Let m = s + 19. Is m a composite number?
False
Suppose 0 = 3*d - 1077 + 36. Is d composite?
False
Let l = -10 + 12. Suppose 4*b - 14 = l. Suppose b*w + 654 = 3*c + 1, 878 = 4*c + 2*w. Is c a prime number?
False
Let o = 1590 - -881. Is o prime?
False
Suppose 2*u - 1250 = -5*x + 7*u, 4*u = -4*x + 1008. Is x a prime number?
True
Let o(x) = 2*x**2 - 2*x + 519. Is o(0) composite?
True
Let g = 0 - -2. Suppose 0 = -g*j, -3*j = -4*c + 2*c + 106. Is c a prime number?
True
Suppose 4*w = 2*w. Let g = w - 1. Is (g - -60)*(-3)/(-3) a composite number?
False
Let g = -8 + 22. Suppose 0 = 3*z - z + 10. Let l = g + z. Is l prime?
False
Let x(t) be the first derivative of -t**3/3 + 5*t**2 + 8*t + 1. Let f be x(6). Suppose 4 = -2*g, -2*l + f = 2*g - 34. Is l a prime number?
False
Let r be 42/3*(-12)/7. Is (-6)/r + 595/4 a composite number?
False
Suppose 0 = 4*f - b + 59 - 6
|
{
"pile_set_name": "DM Mathematics"
}
|
h*y + x*y**2 + b and give h.
-39
Express 6*q**2 + 41*q**2 - 3 - 15969*q + 15973*q + 4 in the form o*q**2 + p*q + z and give z.
1
Rearrange 533*o - 1592*o + 28*o**2 + 532*o + 531*o to the form k + l*o + r*o**2 and give l.
4
Rearrange (126*k - 81*k + 60 - 41*k)*(-12 - k + 12) to the form i*k**2 + s*k + t and give i.
-4
Express 95*n**2 + 2166*n**2 - 441*n**2 + 738*n**2 + 2120*n**2 in the form y*n + q + b*n**2 and give b.
4678
Express -1435*n + 215 - 104 + 4742*n - 111 as h + u*n and give h.
0
Express (4*d + 14 - 14)*(180*d + 106*d + 829*d) as j*d + t + z*d**2 and give z.
4460
Express -12 + 30 + 28 + 296*h + 27 - 74 in the form z + l*h and give z.
-1
Express (-227 - 30 - 129)*(44*x + 7*x + 6*x) in the form y + m*x and give y.
0
Express 180797 + 180548 - 358383 - y in the form x + m*y and give x.
2962
Rearrange (3*b**2 - 3 + 2 - 4*b**2)*(1 - 3 - 1)*(-4*b + 17*b + 0*b + (-2 + 1 + 4)*(-2 - b + 2)) to t*b**2 + s + u*b + h*b**3 and give t.
0
Express (-18 + 8*s + 18)*(s + s + 0*s) - 8*s**2 + 31*s**2 + 20*s**2 + (0 - 2 + 1)*(2*s**2 - 2*s**2 - 2*s**2) as z*s**2 + u + a*s and give z.
61
Rearrange 699*o + 1 + 159*o**2 + 1 + 151*o**2 - 312*o**2 to w*o + p*o**2 + l and give p.
-2
Rearrange 2 + s**4 - 2 - s**2 + (-5*s**3 - 7*s**3 - s**3)*(-14885 + 7160 + 7469 - 2*s) to the form l + g*s**4 + m*s**2 + d*s + a*s**3 and give g.
27
Express 0*l + 2*l**3 + 0*l + (-1504 + 753 - 524*l**2 + 750)*(-l + 4 - 4) in the form y*l + j*l**3 + t + k*l**2 and give t.
0
Rearrange -3 + 133*v**4 + 0*v**3 + 260*v**4 - 95*v**4 - 1 - v**3 to the form p*v**2 + r*v + m + s*v**4 + q*v**3 and give q.
-1
Rearrange (104629*w**2 + 46626*w**2 + 19609*w**2 - 1735*w**2)*(-2*w**2 + w**2 + 0*w**2) to o + k*w**4 + d*w**3 + m*w**2 + p*w and give k.
-169129
Express 898*k - 1073*k + 4216*k in the form l + s*k and give s.
4041
Express 54*w**3 + 27*w**2 - 55*w**2 - 98*w**3 + 51*w**3 - 2*w in the form j + l*w**2 + n*w + t*w**3 and give n.
-2
Express -55*z**2 + z + 29*z**2 + 1 - 2 + 5 + 23*z**3 + 24*z**2 as r + i*z**2 + k*z + b*z**3 and give r.
4
Rearrange -2*v**4 + 1 + 2*v**2 - 6*v**2 - 2993*v + 5*v**2 + 2566*v to the form j*v + f + q*v**4 + c*v**3 + g*v**2 and give q.
-2
Rearrange 8486*w + 21848 - 246*w + 21841 - 43689 to the form m*w + z and give z.
0
Rearrange -320*a + 151*a - 85*a + 6*a**3 + 10*a**3 - 94*a to s*a**3 + y*a**2 + c + m*a and give m.
-348
Rearrange 1208*f**2 - 554*f**2 - 3 - 143*f - 3*f**4 - 654*f**2 to the form a*f + j*f**2 + t*f**4 + s*f**3 + n and give n.
-3
Rearrange 984*n**2 - 1516*n**2 - 3 + 14*n - 16*n to l*n**2 + i*n + h and give l.
-532
Rearrange (10938 - 17705 + 13469)*(-3 + 4 - 2)*(4 - 4 - 2*p) to n*p + t and give n.
13404
Express 9*y - 119*y + 29*y + (3*y + y - 5*y)*(1 + 15 + 16) as q*y + b and give q.
-113
Rearrange -130825*k**2 + 130827*k**2 - 1588 - 13158 to h*k + w + v*k**2 and give v.
2
Rearrange (f + 3*f - 3*f)*(2*f + 0 + 0) + 33 - 33 + 35*f**2 - 55*f**2 + 271*f**2 + 32*f**2 to the form a*f + s + p*f**2 and give s.
0
Rearrange (3 - 3 + 3*h**2)*(-1 - 354*h + 721*h - 350*h)*(10 - 3 - 3)*(1 + 0 - 2) to the form g + y*h + n*h**2 + q*h**3 and give q.
-204
Express 24*o + 3*o**3 + 3*o**2 - 89*o - 5*o**3 + 3 + 35*o + 34*o as t + j*o**3 + d*o**2 + b*o and give b.
4
Rearrange -38728*l**3 - 3*l**4 + 19370*l**3 + 2*l**2 - 6*l - 5 + 19367*l**3 to the form x*l**2 + a*l**4 + g*l**3 + s*l + u and give s.
-6
Rearrange (0 - 2 + 27)*(0*b + 5*b - b)*(0 - 2 + 3) to f + t*b and give t.
100
Express -2*t + 24179 - 24146 + 3*t**2 - 2*t**2 - 2*t**2 as z*t**2 + y*t + d and give z.
-1
Express -346*y + 2*y**3 - 328*y - 22*y**3 + 2*y**4 + 678*y + 2 - 2*y**2 as j*y**4 + k*y + z*y**3 + t + w*y**2 and give k.
4
Rearrange 1 - 23*p**2 + p + 0*p - 3 + 2*p**3 - 3*p**4 + 36*p**2 to u + h*p**3 + c*p**2 + q*p + g*p**4 and give c.
13
Rearrange -27*a**2 - a - 29*a**2 + 16 - 2*a**3 + 12 - a + 54*a**2 to i*a**3 + t + r*a**2 + l*a and give l.
-2
Express 2 + 0 - 44*v**3 - 5*v + 214*v**3 - 2 as x*v**2 + z*v**3 + p + n*v and give z.
170
Express 2*g**3 + 0*g**3 - 2997*g**2 + 2880*g**2 + 9 in the form r + u*g**2 + h
|
{
"pile_set_name": "DM Mathematics"
}
|
97*w**2 - 619*w**2. Let g(f) = -11*a(f) + 3*n(f). Give q(g(c)).
-22*c**2
Let a(m) = m + 35. Suppose -6*n = -8*n + 1010. Let d(x) = -n*x**2 + 255*x**2 + 252*x**2. Calculate d(a(t)).
2*t**2 + 140*t + 2450
Let o(u) = u**2 + 7. Let l(t) be the second derivative of -2*t**4/3 - 4*t + 9. What is l(o(p))?
-8*p**4 - 112*p**2 - 392
Let h(m) = -m**2. Let w(b) = 1989*b**2 + 102*b + 204. Let r(n) = 97*n**2 + 5*n + 10. Let x(j) = -102*r(j) + 5*w(j). Calculate h(x(z)).
-2601*z**4
Let q(x) = 2*x. Suppose -8 = -4*i - 0. Let u(z) be the first derivative of -z**i + 1 - 3*z**2 + 5. Calculate q(u(w)).
-16*w
Let y(t) be the second derivative of -3*t**3 - 2*t - 30. Let f(b) = 5*b**2 + 6*b - 6. Let w(j) = -j**2 - j + 1. Let l(q) = -f(q) - 6*w(q). What is l(y(p))?
324*p**2
Let l(f) = f**2. Let i(t) = 936447*t**2. What is l(i(b))?
876932983809*b**4
Let y(r) = 12 + r - 12 - 2*r. Let i(o) = 13*o**2 + 2*o - 2*o - 3*o**2. Calculate i(y(t)).
10*t**2
Let n(v) be the first derivative of -25/2*v**2 + 0*v - 52. Let m(u) = -2*u**2. Determine n(m(o)).
50*o**2
Let s(u) = -31*u - 18. Let y(c) = -15*c - 8. Let n(l) = 4*s(l) - 9*y(l). Let w(p) = 19*p. What is n(w(b))?
209*b
Let w(n) = -n**2. Suppose -5*o + 75 = -10. Let u = o + -17. Let t(x) = u*x + 2*x - 3*x + 2*x. Determine w(t(b)).
-b**2
Let p(d) be the second derivative of d**7/1260 - 3*d**4/4 - 26*d. Let m(c) be the third derivative of p(c). Let q(k) = 7*k**2 - 4*k. What is m(q(l))?
98*l**4 - 112*l**3 + 32*l**2
Let u(d) = -d. Let t(v) = 325*v**2 - 52*v + 520. Let n(i) = 31*i**2 - 5*i + 50. Let p(g) = -52*n(g) + 5*t(g). Determine p(u(m)).
13*m**2
Let n(k) = 20*k. Let z(x) = x. Suppose 0 = -2*o - 6 - 24. Let v(s) = o*z(s) + n(s). Let w(m) = -10*m. Give w(v(l)).
-50*l
Let x(l) be the third derivative of 115*l**4/8 + 133*l**2. Let s(h) = 2*h**2. Calculate s(x(z)).
238050*z**2
Let l(v) be the second derivative of -v**4/24 - 31*v**2/2 + 34*v. Let d(t) be the first derivative of l(t). Let p(z) = -28*z. Determine d(p(j)).
28*j
Let l(g) = 14*g**2 - 7*g - 7. Suppose -58 = 2*d - 72. Let o(u) = -5*u**2 + 2*u + 2. Let x(m) = d*o(m) + 2*l(m). Let p(v) = -3*v**2. Give p(x(j)).
-147*j**4
Let t(h) = -21*h - 8. Let f(g) = -4*g - 1. Let a(x) = 6*f(x) - t(x). Let y(n) = -n**2. Determine a(y(l)).
3*l**2 + 2
Let f(d) = d + 307. Let g(v) = -3*v + 5*v + 0*v - 24 + 24. Give f(g(o)).
2*o + 307
Let f(z) = 2*z. Let o(g) = 5*g + 46685. Determine f(o(s)).
10*s + 93370
Let j(t) be the second derivative of 0 + 34*t + 0*t**2 - 1/6*t**3. Let m(v) = 21*v**2. What is m(j(i))?
21*i**2
Let n be 3 - (0 + 1 - 0). Let k(p) = p - 2*p - 2*p**n + p. Let w(v) = -15*v + 17. Let z(y) = -5*y + 6. Let m(g) = 6*w(g) - 17*z(g). Calculate m(k(i)).
10*i**2
Let y(b) = -5*b**2. Let c(d) = -d**2 - 2. Let s(l) be the third derivative of -l**5/4 - 3*l**3 + 22*l**2. Let g(z) = 9*c(z) - s(z). Give y(g(p)).
-180*p**4
Let k(j) = j - 1. Let r(m) = 2811*m. Determine k(r(b)).
2811*b - 1
Suppose 2*z + 3 = -z. Let o = z + 3. Let l(q) = -1 + o + 4*q - 1. Let i(x) = -3*x**2. Give i(l(w)).
-48*w**2
Let m(o) be the second derivative of o**4/4 - 3*o. Let g(f) = f**2 + 5*f - 12. Let z be g(-7). Let t(p) = -3*p**2 - 2*p**2 + z*p**2 + 2*p**2. Give m(t(r)).
3*r**4
Let t(c) = -c. Let y(b) = 9*b + 4. Let z(s) = 9*s + 4. Let i(q) = 4*y(q) - 3*z(q). Determine t(i(a)).
-9*a - 4
Let k(d) = 128*d. Let z(a) = 381*a. Let w(j) = -7*k(j) + 2*z(j). Let t(y) = y. Calculate w(t(r)).
-134*r
Let f(c) = -10*c + 10. Let l(q) = -11*q + 12. Let r(j) = -6*f(j) + 5*l(j). Let u(g) = -20*g**2. Calculate r(u(x)).
-100*x**2
Let t(c) = -198*c. Let n(f) = 6*f - 6. Let w(q) = 7*q - 8. Let v(b) = -4*n(b) + 3*w(b). Give v(t(k)).
594*k
Let l(s) be the second derivative of 0 + 24*s + 0*s**2 + 1/6*s**3. Let i(d) = -2*d. Give l(i(q)).
-2*q
Suppose 6*n - 4
|
{
"pile_set_name": "DM Mathematics"
}
|
69 divided by -5
-9569/5
What is 407636 divided by 4?
101909
What is -98 divided by 8409?
-98/8409
Calculate 1582 divided by -113.
-14
-233668 divided by -4
58417
What is 0 divided by 105669?
0
What is 1378800 divided by -720?
-1915
What is -29349 divided by 1?
-29349
What is 524731 divided by 524731?
1
What is 421275 divided by 15?
28085
Calculate -32583 divided by 10861.
-3
Divide 751 by 423.
751/423
Divide 160 by 1014.
80/507
Calculate -1055730 divided by 30.
-35191
118800 divided by 220
540
Calculate 2787 divided by -121.
-2787/121
-157635 divided by 1
-157635
Divide 3 by 70750.
3/70750
Calculate -16 divided by 2010.
-8/1005
What is -14 divided by -309?
14/309
-5499 divided by 37
-5499/37
What is -1537300 divided by -307460?
5
Divide 2 by 52479.
2/52479
What is 10 divided by 25610?
1/2561
Divide -1509989 by -533.
2833
Divide -3 by -61800.
1/20600
Divide 224982 by -74994.
-3
Calculate 1 divided by 54945.
1/54945
Divide 4 by 45589.
4/45589
24574 divided by -18
-12287/9
What is 106 divided by -15113?
-106/15113
What is 3861 divided by -297?
-13
Divide 649332 by -54111.
-12
-1094 divided by 124
-547/62
-774676 divided by -193669
4
-3380433 divided by 1126811
-3
Divide 3171332 by 792833.
4
Calculate 217600 divided by -43520.
-5
Calculate -24 divided by -10774.
12/5387
What is -496938 divided by -6?
82823
Divide 20830 by -49.
-20830/49
What is 341 divided by -245?
-341/245
What is -79299 divided by 14?
-79299/14
What is -12672 divided by -192?
66
Divide -12 by 18826.
-6/9413
-65 divided by -13338
5/1026
Calculate -3611048 divided by -4.
902762
What is 7337 divided by 667?
11
Calculate 89568 divided by -1866.
-48
What is -2340250 divided by 46805?
-50
What is -4965 divided by -37?
4965/37
What is 2694022 divided by -3517?
-766
Calculate 5 divided by 1611.
5/1611
What is -18 divided by -31382?
9/15691
What is 7590285 divided by 4?
7590285/4
924354 divided by -6
-154059
Calculate 13122 divided by 64.
6561/32
Divide 1318356 by 6.
219726
Divide -2 by 39527.
-2/39527
What is -4 divided by 6101?
-4/6101
Calculate -19893 divided by 1.
-19893
Divide -14 by -53088.
1/3792
What is 850032 divided by -212508?
-4
-6460 divided by -34
190
What is 6200 divided by 7?
6200/7
Calculate 107 divided by -180.
-107/180
What is 449 divided by 11?
449/11
Calculate 18978 divided by -6326.
-3
Divide -14 by 46417.
-2/6631
What is -30 divided by -10286?
15/5143
Divide 87 by 424.
87/424
Calculate -12 divided by -182168.
3/45542
Divide -19 by -73388.
19/73388
Calculate -100464 divided by -1092.
92
What is -5 divided by -48183?
5/48183
What is -3 divided by -1300?
3/1300
What is 3209115 divided by -35265?
-91
What is 3708906 divided by 1?
3708906
Calculate 50 divided by 9835.
10/1967
What is 3414 divided by -1?
-3414
-544 divided by -4376
68/547
Divide -12415 by 2.
-12415/2
743904 divided by -2952
-252
What is -557 divided by -3287?
557/3287
What is 439301 divided by -2?
-439301/2
Divide -328585 by -5.
65717
Calculate -273278 divided by 2554.
-107
What is -76330 divided by -4490?
17
4 divided by 504
1/126
What is -4 divided by 3974?
-2/1987
Divide 12364 by -44.
-281
What is -332325 divided by 633?
-525
What is -1246930 divided by -249386?
5
-35336 divided by 35336
-1
Calculate 232954 divided by -538.
-433
1680 divided by -6
-280
Calculate -1422556 divided by 4.
-355639
1 divided by -1230663
-1/1230663
53179 divided by -7597
-7
1 divided by -580026
-1/580026
What is -5 divided by 16179?
-5/16179
Calculate 34 divided by 5033.
34/5033
16 divided by 35635
16/35635
Calculate -12 divided by -214926.
2/35821
Calculate -4171608 divided by -67284.
62
2 divided by 184809
2/184809
What is 55810 divided by 27905?
2
Calculate 1536 divided by -133.
-1536/133
-4 divided by 61844
-1/15461
Divide 2803671 by 403.
6957
What is 433881 divided by 48209?
9
494180 divided by 4
123545
What is 29924 divided by -4?
-7481
Divide 35 by -82225.
-7/16445
What is 2317045 divided by -14215?
-163
Divide -878 by -6.
439/3
Calculate 4 divided by -1008.
-1/252
1703658 divided by 3
567886
Calculate -209 divided by 129.
-209/129
What is -198720 divided by -552?
360
Calculate -422922 divided by 6.
-70487
Divide 53280 by 111.
480
Divide -661 by -185.
661/185
What is 44503 divided by 191?
233
6866 divided by 3433
2
What is 11 divided by 91937?
11/91937
-65740 divided by 4
-16435
Divide 1833848 by -82.
-22364
Divide -83862 by 6.
-13977
Calculate -254 divided by 165.
-254/165
Calculate 8421 divided by -2807.
-3
Calculate -2 divided by 30254.
-1/15127
Divide 12 by 63819.
4/21273
Divide 184342 by 1.
184342
What is -2047 divided by -45?
2047/45
What is -4 divided by -12731?
4/12731
-3698940 divided by 84
-44035
What is 13118 divided by 108?
6559/54
Calculate 488 divided by -122.
-4
What is 1943286 divided by -6?
-323881
11 divided by 822
11/822
Calculate -1282038 divided by 17.
-75414
What is -3 divided by 194252?
-3/194252
Divide 15 by -31519.
-15/31519
Calculate 46956 divided by 3612.
13
Calculate -280 divided by 4628.
-70/1157
Divide 492910 by 98582.
5
Divide 31182 by -15591.
-2
-14 divided by 21472
-7/10736
777188 divided by -587
-1324
Calculate -10680 divided by -51.
3560/17
What is -146376 divided by 12?
-12198
Calculate 3 divided by -32303.
-3/32303
Divide 336189 by 3.
112063
695212 divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
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