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2286385 to the power of 1/3, to the nearest integer?
132
What is the square root of 177341 to the nearest integer?
421
What is the cube root of 19062799 to the nearest integer?
267
What is 826333 to the power of 1/2, to the nearest integer?
909
What is the cube root of 3297998 to the nearest integer?
149
What is the square root of 329671 to the nearest integer?
574
What is the third root of 572263 to the nearest integer?
83
What is the ninth root of 1876694 to the nearest integer?
5
What is the square root of 34075769 to the nearest integer?
5837
What is 208773 to the power of 1/3, to the nearest integer?
59
What is the tenth root of 107559 to the nearest integer?
3
What is the square root of 10613897 to the nearest integer?
3258
What is 8243941 to the power of 1/2, to the nearest integer?
2871
What is the square root of 19513439 to the nearest integer?
4417
What is the third root of 4339920 to the nearest integer?
163
What is the sixth root of 66159 to the nearest integer?
6
What is 3453442 to the power of 1/3, to the nearest integer?
151
What is the cube root of 651044 to the nearest integer?
87
What is the square root of 23082783 to the nearest integer?
4804
What is the square root of 702467 to the nearest integer?
838
What is the third root of 1717457 to the nearest integer?
120
What is the tenth root of 3352552 to the nearest integer?
4
What is 1097579 to the power of 1/10, to the nearest integer?
4
What is 24756007 to the power of 1/2, to the nearest integer?
4976
What is the seventh root of 214185 to the nearest integer?
6
What is the seventh root of 732155 to the nearest integer?
7
What is the square root of 2446 to the nearest integer?
49
What is 303812 to the power of 1/9, to the nearest integer?
4
What is the square root of 673066 to the nearest integer?
820
What is the cube root of 1866307 to the nearest integer?
123
What is 637482 to the power of 1/2, to the nearest integer?
798
What is the third root of 4584768 to the nearest integer?
166
What is the fourth root of 541830 to the nearest integer?
27
What is the cube root of 621067 to the nearest integer?
85
What is 49945 to the power of 1/2, to the nearest integer?
223
What is 11739132 to the power of 1/5, to the nearest integer?
26
What is 721415 to the power of 1/3, to the nearest integer?
90
What is the square root of 777215 to the nearest integer?
882
What is 2745025 to the power of 1/2, to the nearest integer?
1657
What is the square root of 19799662 to the nearest integer?
4450
What is 498162 to the power of 1/7, to the nearest integer?
7
What is the ninth root of 6317897 to the nearest integer?
6
What is the eighth root of 318739 to the nearest integer?
5
What is 8415358 to the power of 1/7, to the nearest integer?
10
What is 2044341 to the power of 1/3, to the nearest integer?
127
What is the square root of 205087 to the nearest integer?
453
What is the square root of 240560 to the nearest integer?
490
What is the fourth root of 1554717 to the nearest integer?
35
What is the cube root of 697188 to the nearest integer?
89
What is the third root of 7589902 to the nearest integer?
197
What is 254727 to the power of 1/10, to the nearest integer?
3
What is 170949 to the power of 1/2, to the nearest integer?
413
What is 22754777 to the power of 1/2, to the nearest integer?
4770
What is the square root of 1643053 to the nearest integer?
1282
What is 298084 to the power of 1/5, to the nearest integer?
12
What is 434828 to the power of 1/2, to the nearest integer?
659
What is the third root of 364178 to the nearest integer?
71
What is 13138705 to the power of 1/2, to the nearest integer?
3625
What is the third root of 677504 to the nearest integer?
88
What is 20912811 to the power of 1/2, to the nearest integer?
4573
What is the sixth root of 229944 to the nearest integer?
8
What is the fourth root of 361618 to the nearest integer?
25
What is the square root of 23473621 to the nearest integer?
4845
What is 6116214 to the power of 1/8, to the nearest integer?
7
What is the third root of 2297328 to the nearest integer?
132
What is the cube root of 174359 to the nearest integer?
56
What is 1012528 to the power of 1/3, to the nearest integer?
100
What is the cube root of 58317 to the nearest integer?
39
What is the third root of 9036664 to the nearest integer?
208
What is 228325 to the power of 1/7, to the nearest integer?
6
What is the third root of 561061 to the nearest integer?
82
What is 985166 to the power of 1/4, to the nearest integer?
32
What is 599391 to the power of 1/7, to the nearest integer?
7
What is 15536 to the power of 1/3, to the nearest integer?
25
What is 672601 to the power of 1/5, to the nearest integer?
15
What is 94808 to the power of 1/2, to the nearest integer?
308
What is the third root of 998057 to the nearest integer?
100
What is 4434529 to the power of 1/2, to the nearest integer?
2106
What is the third root of 1650539 to the nearest integer?
118
What is 1227660 to the power of 1/3, to the nearest integer?
107
What is the eighth root of 1841173 to the nearest integer?
6
What is 756389 to the power of 1/5, to the nearest integer?
15
What is the sixth root of 15335464 to the nearest integer?
16
What is 19841821 to the power of 1/7, to the nearest integer?
11
What is the third root of 295851 to the nearest integer?
67
What is 1023172 to the power of 1/3, to the nearest integer?
101
What is 2153114 to the power of 1/2, to the nearest integer?
1467
What is 38983330 to the power of 1/2, to the nearest integer?
6244
What is the sixth root of 3355890 to the nearest integer?
12
What is the fourth root of 2240821 to the nearest integer?
39
What is 86911 to the power of 1/9, to the nearest integer?
4
What is the third root of 3710120 to the nearest integer?
155
What is 571728 to the power of 1/6, to the nearest integer?
9
What is 4780481 to the power of 1/9, to the nearest integer?
6
What is the square root of 2287851 to the nearest integer?
1513
What is the square root of 8655987 to the nearest integer?
2942
What is the seventh root of 2955218 to the nearest integer?
8
What is the square root of 5756155 to the nearest integer?
2399
What is the third root of 4918936 to the nearest integer?
170
What is the square root of 2433523 to the nearest integer?
1560
What is 10631481 to the power of 1/3, to the nearest integer?
220
What is the seventh root of 29762231 to the nearest integer?
12
What is the cube root of 620768 to the nearest integer?
85
What is 421976 to the power of 1/3, to the nearest integer?
75
What is the cube root of 3180030 to the nearest integer?
147
What is the third root of 2285035 to the nearest integer?
132
What is 324890 to the power of 1/2, to the nearest integer?
570
What is 389922 to the power of 1/2, to the nearest integer?
624
What is the third root of 1401461 to the nearest integer?
112
What is 1725241 to the power of 1/6, to the nearest integer?
11
What is the fourth root of 150239 to the nearest integer?
20
What is the cube root of 3265750 to the nearest integer?
148
What is the third root of 1151940 to the nearest integer?
105
What is 2835334 to the power of 1/3, to the nearest integer?
142
What is 1991939 to the power of 1/5, to the nearest integer?
18
What is 385990 to the power of 1/2, to the nearest integer?
621
What is the fourth root of 251533 to the nearest integer?
22
What is the square root of 357321 to the nearest integer?
598
What is the square root of 1371396 to the nearest integer?
1171
What is the eighth root of 3816670 to the nearest integer?
7
What is 2703836 to the power of 1/2, to the nearest integer?
1644
What is 7969 to the power of 1/3, to the nearest integer?
20
What is the seventh root of 2707079 to the nearest integer?
8
What is the square root of 33122598 to the nearest integer?
5755
What is 18417022 to the power of 1/2, to the nearest integer?
4292
What is 53480 to the power of 1/6, to the nearest integer?
6
What is 1752418 to the power of 1/9, to the nearest integer?
5
What is the cube root of 325233 to the nearest integer?
69
What is the fifth root of 1074512 to the nearest integer?
16
What is the square root of 1059828 to the nearest integer?
1029
What is 4821546 to the power of 1/2, to the nearest integer? | {
"pile_set_name": "DM Mathematics"
} |
l) = -f(l) - s(l). Find the second derivative of w(k) wrt k.
380*k**3
Let f(u) be the first derivative of 0*u**3 - 4 + 1/2*u**4 - 2*u**2 + 0*u. Find the second derivative of f(q) wrt q.
12*q
Let q be 0 - 8/(-1*2). Suppose -23 = d - 5*d + t, d + q = -3*t. What is the second derivative of -3*f - f**d + 2*f**5 - 2*f**5 wrt f?
-20*f**3
Let v(s) be the first derivative of -s**4/12 + s**3/2 - 3*s**2/2 - 2. Let y(x) be the second derivative of v(x). What is the derivative of y(q) wrt q?
-2
Let o = -1159/10 - -116. Let v(w) be the second derivative of 0 + 0*w**3 + w**2 + o*w**5 + 0*w**4 + w. What is the derivative of v(k) wrt k?
6*k**2
Suppose 3*b + 4*l + 7 + 1 = 0, b - 2*l = 4. What is the first derivative of 2*y + 6 - 14 + b*y wrt y?
2
Let c(u) = u**3 - 4*u - 4. Let a(m) be the first derivative of -m**4/4 + m + 4. Let k(d) = 4*a(d) + c(d). Find the second derivative of k(z) wrt z.
-18*z
What is the derivative of p**3 - p**3 - 2 - 467*p**4 + 459*p**4 wrt p?
-32*p**3
Let o be (-26)/5 + (-2)/(-10). Let b(v) = -4*v + 2. Let f(r) = -3*r + 1. Let c(k) = o*f(k) + 4*b(k). Find the first derivative of c(g) wrt g.
-1
Let y(d) = -18*d**3 - 15*d**2 + 15*d + 30. Let r(g) = g**3 + g**2 - g - 1. Let x(t) = -15*r(t) - y(t). Differentiate x(k) wrt k.
9*k**2
Suppose 0 = -4*o - 2*h - 2*h + 16, 0 = 4*h. Let y(r) = r - 3. Let w be y(5). What is the first derivative of -b**o + b**4 + 2 + w*b**4 wrt b?
8*b**3
Suppose -o - i = o, -4*i = -3*o + 22. Suppose 0 = 2*r - 3*r + 4. Find the third derivative of 2*u**o - 4*u**2 - r*u**4 + 4*u**3 - 4*u**3 wrt u.
-96*u
Let j(o) be the second derivative of 19*o**5/20 - 29*o**4/12 + 27*o. What is the third derivative of j(g) wrt g?
114
Suppose 5*b = -2*h + 10, -11 = 4*b - 3*b + 3*h. Find the second derivative of -4*m**b - m - 5*m**4 - 6*m wrt m.
-108*m**2
Let z(v) = -v**2 + 6*v - 5. Let u be z(4). What is the third derivative of 3*p**2 - p**3 + p**3 - 3*p**u wrt p?
-18
Let b be 3/9*3*1. Let t be 12/(-4)*(-2)/2. Differentiate -1 + 5*d**2 - t*d**2 - b with respect to d.
4*d
Let p(z) = -25*z**3 + 10*z**2 - 9*z - 9. Let r(y) = -12*y**3 + 5*y**2 - 4*y - 4. Let n(b) = -4*p(b) + 9*r(b). What is the third derivative of n(c) wrt c?
-48
Suppose -11 = -2*n - 5*z, 4*z = 5*n - 7 - 4. What is the third derivative of -d**n + d**3 - 3*d**2 - d**5 wrt d?
-60*d**2
Let m(a) = a**3 + 5*a**2 + 5*a + 3. Let n be m(-2). Let t(c) be the first derivative of 0*c**3 - 1/5*c**n + 2*c - 3 + 0*c**4 + 0*c**2. Differentiate t(w) wrt w.
-4*w**3
Let g(n) = 15*n**3 - 8. Let u(o) = -14*o**3 + 7. Let q(v) = -3*g(v) - 2*u(v). Differentiate q(d) wrt d.
-51*d**2
Let o(p) be the third derivative of 0 + 0*p + 0*p**4 + 6*p**2 + p**3 + 1/120*p**6 + 0*p**5. Find the first derivative of o(z) wrt z.
3*z**2
Let n(v) = v**3 + 7*v**2 + 6*v - 6. Let r be n(-5). Suppose -o + 8 = 5*i, 0*o = -3*i + 4*o + r. Differentiate -3*b**2 - i + 2*b**2 + 1 with respect to b.
-2*b
Let a(s) be the second derivative of -4*s**6/15 + 7*s**3/3 - 14*s. Find the second derivative of a(v) wrt v.
-96*v**2
Let y(r) be the first derivative of 11*r**3/3 - 34*r - 15. Differentiate y(w) wrt w.
22*w
Let s(c) be the first derivative of -c**9/504 + c**5/30 - c**2/2 - 2. Let v(d) be the second derivative of s(d). Find the third derivative of v(y) wrt y.
-120*y**3
Let g(h) = -4*h**2 - 39*h + 6. Let c(z) = -8*z**2 - 79*z + 11. Let p(i) = 6*c(i) - 11*g(i). Find the second derivative of p(k) wrt k.
-8
Let j(t) = t**3 + t**2 + t - 1. Let f(h) = -14*h**4 - 3*h**3 - 9*h**2 - 3*h + 3. Let n(o) = f(o) + 3*j(o). What is the third derivative of n(y) wrt y?
-336*y
Let c(r) be the second derivative of 39*r**8/56 - 13*r**4/6 - 33*r. What is the third derivative of c(k) wrt k?
4680*k**3
Find the second derivative of -7*o**2 + 3*o - 4*o - 2*o wrt o.
-14
Let n(h) be the third derivative of 0*h + 0 - 1/2*h**3 - 4*h**2 - 1/8*h**4. Differentiate n(a) wrt a.
-3
Let v = 8 - 8. Find the second derivative of -75*r**2 - 4*r**3 + v*r**3 + 75*r**2 - 7*r wrt r.
-24*r
Let k(w) = -3*w**2 + 6. Let d(x) = -7*x**2 + 12. Let u(r) = -2*d(r) + 5*k(r). Let h be u(0). Find the second derivative of 0*c + c + 4*c**5 - h*c**5 wrt c.
-40*c**3
Let k(n) be the first derivative of -13*n**4/4 - 23*n**3/3 - 23. What is the third derivative of k(h) wrt h?
-78
Let p(n) be the first derivative of n**3 + 1/7*n**7 + 0*n + 0*n**2 + 0*n**4 + 3 + 0*n**5 + 0*n**6. Find the third derivative of p(d) wrt d.
120*d**3
Let y(v) = -3*v**2 - 4. Let m(r) = 2 + r**2 - 6 + 1 + 4. Let c(b) = 7*m(b) + 2*y(b). Differentiate c(h) wrt h.
2*h
Let j = 4 + -2. Find the second derivative of 2*p**j + p - p - 2*p + 3*p wrt p.
4
Suppose -4*d = -4*b + 4, 4*b - d + 1 = 8. Find the first derivative of -j**2 - 3 - j**2 + b wrt j.
-4*j
What is the second derivative of 2*n - 49 - 2*n**3 + 16*n + 49 wrt n?
-12*n
Let z be (-84)/16 + (-1)/(-4). Let r = -1 - z. What is the derivative of 4*c + c**4 - r*c + 1 wrt c?
4*c**3
Let f be 3/4 + 40/32. Let l(y) be the second derivative of -y**f + 1/6*y**4 + 0 + 0*y**3 - 2*y. Differentiate l(w) wrt w.
4*w
Let l(j) be the second derivative of -3/14*j**7 + 0*j**2 + 0*j**4 + 8*j + 0*j**6 + 3/2*j**3 + 0*j**5 + 0. Find the second derivative of l(x) wrt x.
-180*x**3
Let v = 37 + -32. Let k(g) be the third derivative of 0*g + 1/60*g**6 + 0*g**4 + 1/3*g**3 + 0*g**v + 0 + g**2. What is the first derivative of k(j) wrt j?
6*j**2
Let u(w) = w**4 + w**3 + w - 1. Let k(t) = -31*t**4 + 6*t**3 + 37*t - 6. Let a(x) = k(x) - 6*u(x). Find the second derivative of a(l) wrt l.
-444*l**2
Let w(d) be the first derivative of -d**5/24 + d**4/24 - 2*d**3 - 4. Let q(h) be the third derivative of w(h). What is the derivative of q(g) wrt g?
-5
Let k(v) = 5*v**2 - 2*v**2 - v - v**2. Let l(z) = 2*z**4 - z**4 - 2*z - 9*z**2 + 7*z. Let i(m) = 9*k(m) + 2*l(m). Find the second derivative of i(j) wrt j.
24*j**2
Let a(h) be the first derivative of -h**3 - 2 + 0*h - 3/4*h**4 + 0*h**2. What is the third derivative of a(k) wrt k?
-18
Let o(d) = d**4 + 5*d**2 + 4. Let k(a) = -a**4 - a**2 - 1. Let r = 13 + -17. Let u(j) = r*k(j) - o(j). What is the third derivative of u(n) wrt n?
72*n
Let g(b) be the second derivative of -4*b**3/3 + 3*b**2 - 5*b. Find the first derivative of g(v) wrt v.
-8
Find the third derivative of 5*j**2 - 121*j**5 + 121*j**5 - 9*j**6 + 2*j**6 wrt j.
-840*j**3
Let v(l) be the third derivative of -l**6/40 + l**3/6 + l**2. What is the first derivative of v(x) wrt x?
-9*x**2
Let n(d) be the second derivative of 11*d**5/20 + 11*d**4/12 + 5*d. What is the third derivative of n(r) wrt r?
66
Suppose 0 = -c + 1 + 1. Differentiate 4 - 2 + 6*i - c*i + 1 with respect to i.
4
Let b(a) be the first derivative of -a**5 + a**3 + 53*a - 31. What is the first derivative of b(k) wrt k?
-20*k**3 + 6*k
Let p(t) = -7*t**2 - 7. Let v(m) = 7*m**2 + 7. Suppose 5*i + 3*h + 18 = -0*i, 3*h - 42 = 5*i. Let x(g) = i*v(g) - 7*p(g). Differentiate x(q) with respect to q.
14*q
Let c(n) = -6*n. Let d be c(-1). Let o = -4 + d. What is the second derivative of 3*h**2 + o*h + h - 2*h wrt h?
6
Let i(s) = -14*s**3 - 5*s**2 + 9*s - 5. Let p(l) = l**3 - l**2 + l - 1. Let r(q) = -i(q) + 5*p(q). What is the second derivative of r(w) wrt w?
114*w
Let n(o) = o**2 + 2*o - 4. Let v be n(-4). What is the second derivative of -r + 5*r - 3*r**4 - r**v wrt r?
-48*r**2
Let i(x) be the third derivative of -3*x**7/35 + 23*x**5/60 - 3*x**2. What is the third derivative of i(h) wrt h?
-432*h
Let v(b) = 16*b**3 + 2*b - 37. Let k(p) = 16*p**3 + 3*p - 38. Let i(f) = -2*k(f) + 3*v(f). Find the first derivative of i(x) wrt x.
48*x**2
Let l = -12 + 7. Let w(x) = 7*x**2 + 3*x - 1. Let i(f) = 13*f**2 + 5*f - 2. Let s(r) = l*w(r) + 3*i(r). What is the derivative of s(o) wrt o?
8*o
Let y(o) = 6*o**3 + 52*o**2 + 25*o. Let g(s) = 7*s**3 + 53*s**2 + 26*s. Let h(b) = -4*g(b) + 5*y(b). Find the second derivative of h(w) wrt w.
12*w + 96
Let g(f) be the third derivative of f**6/120 - f**5/30 + 3*f**2. What is the third derivative of g(i) wrt i?
6
Let g(r) = -r**3 - 12*r**2 - 11*r + 4. Let w be g(-11). What is the first derivative of w*p**4 + p**4 + 2*p**4 - 3 - 5*p**4 wrt p?
8*p**3
Let w(y) be the second derivative of 0 - 3*y + y**2 + 0*y**3 - 1/4*y**4. What is the first derivative of w(l) wrt l?
-6*l
What is the second derivative of -54*n - 15*n**2 - | {
"pile_set_name": "DM Mathematics"
} |
-3
Solve 3*s - 4*k - 25 = -26, -4*k = -2*s - 6 for s.
5
Solve 3*q + 14 = -201*g + 221*g, 5*q + 2*g - 4 = 4*q for q.
2
Solve 0 = -2*s + 36, 2*a = -0*s - 3*s + 4*s - 18 for a.
0
Solve 0 = 5*m - 9*l + 28, -5*m - 214*l + 219*l - 40 = 0 for m.
-11
Solve -7*v + 10*v = 14*d + 74, 0 = 4*d + 4*v - 76 for d.
-1
Solve d + 84*r + 5 = 82*r, 0 = 4*d - 4*r - 16 for d.
1
Solve i + 3*s - 2 = 0, -272*s + 12 = 2*i - 274*s for i.
5
Solve 9*d + 24 = y, 2*y + 30 = -3*y + 21*d - 26*d for y.
-3
Solve 4*z + 2*w + 67 = 55, 0 = 2*z + 5*w - 2 for z.
-4
Solve -5*l + a = 26, 4*a = 10075*l - 10076*l + 20 for l.
-4
Solve 4376 = -5*s - 5*z + 4411, 10*s = z + 37 for s.
4
Solve 0 = -t - 3*d - 4, -15*t - 700*d + 702*d = 107 for t.
-7
Solve -5*j = -2*q - 33, 0 = -2*q + 92*j - 89*j - 23 for q.
-4
Solve 37*s = 38*s + 4*r + 11, 5*r = -2*s - 16 for s.
-3
Solve 34*w = 4*m - 124, -24 = 3*w + 3*m + m for w.
-4
Solve -318 = 3*o + 2*c - 307, 3*o - 4*c - 13 = 0 for o.
-1
Solve -1930*l = -3*c - 959*l - 967*l - 28, -10 = -l for c.
4
Solve 2422*t + 7*p = 2419*t - 18, p + 3 = 0 for t.
1
Solve 0*s + s - 56*o = -27*o - 30*o - 9, 5*o = -20 for s.
-5
Solve 0 = 2*f - 5*n - 38, -15*f - 101 + 131 = 5*n for f.
4
Solve 4*y + 90 = -2*a + 92, -3*a + 4*y - 17 = 0 for a.
-3
Solve 3*c - 28 = -h, -5*h + c - 170 + 150 = 0 for h.
-2
Solve r + 8 = -2*t, -4*r + 4*t - 7 = 1 for r.
-4
Solve 48 = -8*t - 8*v, -4*v - 83 = -25 - 42 for t.
-2
Solve 5*l + 37 = 2*x, 1313*l - 1311*l = -5*x - 38 for l.
-9
Solve t + r = -7, 32 = 4*t - 5*r + 24 for t.
-3
Solve -4*i + 2*z + 1 - 1 = -2*z, -8*z = 3*i for i.
0
Solve 0*w + y = -3*w - y - 15, -7 = y - 4 for w.
-3
Solve 14*m = -3*g + 10*m - 26, -g - 16 = 5*m for g.
-6
Solve 370*u - 369*u - 19 = -4*t, 2*u = t + 11 for t.
3
Solve -12*z = -7*z + 4*n + 2, 2*n = 3*z - 12 for z.
2
Solve -11*v = -12*v - j, 3*j = v - 20 for v.
5
Solve -2*p = -2*n + 8, 4*p = 2*n - 6 - 2 for p.
0
Solve -79*v + 35 = -5*k - 80*v, -3*k + 40*v = 21 for k.
-7
Solve 4*m - 12 = -2*b, -m = 29*b - 38*b + m + 14 for b.
2
Solve -3*x - 5*c - 42 = 0, 0 = -4*x - 186*c + 190*c + 8 for x.
-4
Solve -2*j + 419*i + 6 = 2*j + 420*i, 3*i = -7*j + 3 for j.
3
Solve 0 = 5*t + 3*h - 31 + 36, 9 = 4*t + 5*h for t.
-4
Solve 2*s + 4*g - 4 = 0, -4*s = -51*g + 56*g + 1 for s.
-4
Solve 76 = 17*l - 5*b, -2*b = 123*l - 122*l + 7 for l.
3
Solve -72*l - 3*b = -70*l + 1, 0 = -5*l - 5*b for l.
1
Solve -u - 213*a + 210*a - 34 = 0, 0 = -4*u - 4*a - 56 for u.
-4
Solve 5*r + 4*f = 11, 0 = 3*r - f - f + 11 for r.
-1
Solve -4*t - 2*n = -30, 2595*t + 20 = 2600*t - n for t.
5
Solve 2*f = -5*d + 111 - 125, -f + 2*d - 16 = 0 for f.
-12
Solve 1280*t - 11 = s + 2*s + 1282*t, 11*t = 3*s - 80 for s.
1
Solve -b = -4*j + 10, 2*j - b - 430 + 428 = 0 for j.
4
Solve 2*z + 1152 = 52*s, -5*z - 130 = 317*s - 322*s for s.
22
Solve -8*d + 2 = -4*b - 11*d, 4*d + 8 = -8*b for b.
-2
Solve 69*g - 954 = -3*s, -35*g + 4*s + 2 = -36*g for g.
14
Solve 6*k = 4*g + 6, 4*g + 4 = -0*k + 4*k for k.
1
Solve 2*a - 8 = -l, 693 = 3*l - 2*a + 677 for l.
6
Solve -46 = i - 4*l - 23, i - 13 = -5*l for i.
-7
Solve -2*r + 14 = -3*r + 19, -12*c - 29 = -r for c.
-2
Solve 2*m + 4 = 2*y, 0 = 123*m - 117*m - 5*y + 7 for m.
3
Solve 5124*f - 5119*f = -4*k - 9, 2*k - 5*f - 3 = 0 for k.
-1
Solve 6*m - 3*y - 417 = -348, 3*y = -m + 29 for m.
14
Solve -24 = -13*f - p, -5*p - 8 = 15*f - 14*f for f.
2
Solve 3*d = 572*h - 571*h - 4, 0 = 2*h + 5*d - 19 for h.
7
Solve 265*i - 260*i = 15, -4*r = -i - 3 - 26 for r.
8
Solve 2*p - 2750 = -z - 2760, -2*z = -2*p + 8 for z.
-6
Solve 6 = 4*f - 3*k, -10 = -4*f - 24*k + 25*k for f.
3
Solve 4*r = 43*g - 44*g - 25, 0 = -5*r + 3*g - 10 for r.
-5
Solve 6*m + 16 = n, -4*m - 68*n = -66*n for m.
-2
Solve -5*z = -3*x + 66, -297*z = -301*z + 8*x - 176 for z.
0
Solve -2*i + 87 = 7*j, 47 = 1903*i - 1907*i + 3*j for i.
-2
Solve -33*v + 37*v + 27 = 19*x, -3*v + x = 7 for v.
-2
Solve -23*a + 22*a + 44 = -5*u, 16 = -u + 2*a for u.
-8
Solve 0 = o + 2 + 3, 0 = 4*s - o + 305 - 318 for s.
2
Solve 3*t - 3*q + 50 = 71, 0 = 4*t - 5*q - 3 - 28 for t.
4
Solve -5*n + 55 = 0, -v + 3*n - 15 - 16 = 0 for v.
2
Solve -a + 338*d - 334*d + 51 = 0, 43 = -3*a - 2*d for a.
-5
Solve -95*i + 6*m - 4*m - 8 = 0, -3*m + 12 = 0 for i.
0
Solve 3*y - 114 = -4*u - 129, u = -14*y - 17 for y.
-1
Solve 0 = -3*b - 2*s + 16, 133*s = -b + 136*s - 2 for b.
4
Solve 74*y - 2*v + 14 = 71*y, -4*y + 2*v - 12 = 0 for y.
2
Solve 34*m = -h - 1, 9 + 0 = m - 4*h + 5 for m.
0
Solve -3*b - 218*s = -217*s - 1, 27 = 3*b + 3*s for b.
-4
Solve 0 = -5*t - 5*m - 10, 11 = 527*t - 529*t + 5*m for t.
-3
Solve 4*f = -3*g - 30, 8*f - 2*g + 8 = 6*f for f.
-6
Solve p = 5*t + 425790 - 425799, 0 = 4*t + p for t.
1
Solve -21*y + 23*y + 2*c = -4, -4*y + 3*c - 29 = 0 for y.
-5
Solve 3*i + 12 = c, 3*i - 64 + 76 = -2*c for i.
-4
Solve 37*c - 10 = 43*c - t, 3*c = 4*t + 2 for c.
-2
Solve -2*t + u = 2, 4*t + u + 51 = 53 for t.
0
Solve 3*c + l = -0*c, 101*c = 99*c + 6*l - 20 for c.
-1
Solve 0 = 50314*v - 50313*v - 5*k + 61, -2*v + 5*k = 57 for v.
4
Solve 2*m - 55 = 3*h - 70, -6 = -5*h - 3*m for h.
3
Solve -5*d + 5*t - 15 = 0, -2*d - 3*d - 85 = -19*t for d.
2
Solve -3*j + 4*m - 657 + 661 = 0, -m - 4 = 0 for j.
-4
Solve 321*u - 319*u + 60 = -14*p, -5*p - 2*u = 33 for p.
-3
Solve -8 = 120*r - 118*r - 5*w, -5*r = -3*w + 1 for r.
1
Solve -2*k - 8027*p + 2 = -8025*p, 5*p - 15 = 0 for k.
-2
Solve -5*o = 289*n - 293*n + 25, 5*o - 5 = -2*n for n.
5
Solve 24 = 4*g + 2*b, 413*g - 30 = 408*g - b for g.
6
Solve 0 = 4*o + f + 1, 4*o + 2102*f - 2106*f = 4 for o.
0
Solve -40 = -5*s - 15*b + 12*b, 2*s = 5*b - 15 for s.
5
Solve 2*j + 2*d = 14, 1532*d = -4*j + 1537*d - 26 for j.
1
Solve 25*i - 22*i + 6 = -3*b, -b = -3*i - 18 for i.
-5
Solve -2*g = 2*a - 14, 4*g + 61*a - 66*a + 8 = 0 for g.
3
Solve -2*w + 46*d + 16 = 44*d, -4*d = 3*w + 11 for w.
3
Solve 16*v - 18*v + 5*g + 17 = 0, -10 = 2*g for v.
-4
Solve 3*t - 11770 = -3*j - 11761, 0 = 3*t + 6 for j.
5
Solve 0 = -2*z - 5*p - 13, 2685*z - 2686*z - 9 = 5*p for z.
-4
Solve 917*r + 4 = 4*g + 921*r, -36 = -4*g + 4*r for g.
5
Solve 0 = p - 3*h - 9, -5*h - 159 + 144 = -5*p for p.
0
Solve 3*t = 3*k + 33, -3*k - 1725 = -5*t - 1702 for t.
-5
Solve 5*f + 35 = -5*a, -5*f = 94*a - 93*a + 27 for a.
-2
Solve -8 = -2*a - 3*l, 0 = a - 115963*l + 115962*l + 1 for a.
1
Solve 0 = 4*i - 5*j + 69, 16 = -4*i + 3*j - 51 for i.
-16
Solve 45 = -5*z + 5*h + 20, -2*h - 14 = 4*z for z.
-4
Solve i - 475 + 487 = 0, 3*p = -0*i - 2*i - 9 for p.
5
Solve 0 = 3*y - 5*o - 5, -5*y + 3*o - 1158 + 1177 = 0 for y.
5
Solve 2*a = -4*l - 4, -21 = -13*l + 8*l + 4*a for l.
1
Solve -t - 25 = -3*v, 3*t = 3*v + 342 - 399 for t.
-16
Solve -2*r = -5*d + 9, -43*r = 32*r - 13*r - 496 for d.
5
Solve 5*s - 5*m = 20, 2*s - 320*m + 299*m + 68 = 0 for s.
8
Solve -4*k = s - 28, -3*k = 440*s - 442*s - 32 for s.
-4
Solve -61*r - 4*q = -52*r + 93, -1 = 5*r - 2*q for r.
-5
Solve 15954*g - 15959*g + 13 = -w, -3*g - 21 = 9*w for w.
-3
Solve -s - 2*z = 5, s - 318*z = -313*z + 9 for s.
-1
Solve 2*q - 320 + 322 = -y, -3*y - 9*q - 6 = 0 for y.
-2
Solve 4*n - 3*h = 149 - 133, 2*n - 10 = 2*h for n.
1
Solve w = -31*x + 7*x - 74, 6 = -3*w for x.
-3
Solve 171330*s - 171338*s = 3*x - 1, 0 = -4*x + 3*s - 26 for x.
-5
Solve 2*h - 8 = 0, 107*s - 56*s - 10*h = 47*s - 24 for s.
4
Solve 2*j = -10, 5*r - 9*j = -10*j + 4*j for r.
-3
Solve 35*o - 32*o + 3*a - 48 = 0, 2*a - 22 = 0 for o.
5
Solve 32 = 2*h, -2*n - 5508 = -5*h - 5426 for n.
-1
Solve -4 = -w, 36*w - 34*w = -5*j + 28 for j.
4
Solve -4*s + 7*n + 90 = 0, -3*s - 2*s = 4*n + 66 for s.
-2
Solve 3*s + 3*z = -3681 + 3669, 3*z + 16 = s for s.
1
Solve -3*a = -z + 23, -2*a + 130 = 3*z + 149 for z.
-1
Solve 0 = -4*v + 727*y - 729*y + 12, -5*v = -5*y - 30 for v.
4
Solve 2*s - 12 = -4*f, -25*f + s + 29 = -20*f for f.
5
Solve -2*p = -274*x + 276*x - 4, 4*x = -7*p + 2 for p.
-2
Solve 0 = -7*q + 3*x - 82, 12 = 2*q + 4*x + 50 for q.
-13
Solve 297*n = 4*q + 300*n + 1, -q - 6*n = -26 for q.
-4
Solve 5*x - 411*p + 23 = 3*x - 6*x - 414*p, -3*x - 4*p = 0 for x.
-4
Solve 3901*d = 3899*d - c + 3, -15 = -3*d - 5*c for d.
0
Solve y + 151*a - 155*a + 14 = 0, -82 = y - 21*a for y.
2
Solve 16*x + 2*m = 8, 143*x = 148*x + 5*m - 20 for x.
0
Solve 4*o - 66 = 3*x, -14*x - 177 - 190 = o for x.
-26
Solve 5 = 2*h - 6*h - 3*y, -11*h + 3*y = -20 for h.
1
Solve 3*a = -2*q - | {
"pile_set_name": "DM Mathematics"
} |
Find the third derivative of 2*w**2 - 22*w**6 - 378 + 4*w**2 + 378 wrt w.
-2640*w**3
Let o be (-65)/7 + 32/112. Let j(t) = -28*t**2 - 9*t + 16. Let s(l) = -7*l**2 - 2*l + 4. Let h(n) = o*s(n) + 2*j(n). Differentiate h(f) with respect to f.
14*f
Let x(y) be the first derivative of 5*y**3 + 6*y**2 - 5. What is the second derivative of x(r) wrt r?
30
Let d = 8 - 6. What is the first derivative of 80*m**d - 2*m**3 - 1 - 80*m**2 wrt m?
-6*m**2
Let t(i) be the third derivative of -19*i**5/60 - i**4/2 + 21*i**2. What is the second derivative of t(f) wrt f?
-38
Let w(t) = 5*t**4 + 5*t**3 + 4*t**2 - 5. Let p(v) = v**5 + v**4 + v**3 + v**2 - 1. Let y(s) = 5*p(s) - w(s). What is the third derivative of y(o) wrt o?
300*o**2
Let t(i) be the first derivative of i**8/560 + i**4/6 + 4*i**3/3 - 2. Let c(v) be the third derivative of t(v). Differentiate c(r) wrt r.
12*r**3
Find the second derivative of 6*w**3 - w + 617*w**2 + 7 - 28*w**3 - 615*w**2 wrt w.
-132*w + 4
Suppose 4*r - 5*q - 2 = 6, 2*r = 4*q + 4. Let h(o) be the first derivative of 0*o**3 + 2 - 3/4*o**4 + 0*o**r - 3*o. Differentiate h(u) with respect to u.
-9*u**2
Suppose -4*t + 125 = t. Let o = t - 11. Differentiate 3 + o*f**3 - 10*f**3 + 0 wrt f.
12*f**2
Suppose 5*k - 12 - 3 = 0. What is the second derivative of l**2 - k*l - 3*l**2 + l**2 - l**2 wrt l?
-4
Let s(y) = -y**3 + 4*y**2 + 6*y - 2. Let n be s(5). Suppose 4*o - n = o. What is the second derivative of -h**4 - 2*h + 1 - o wrt h?
-12*h**2
Let h(u) = -u**2 + 4*u + 3. Let l(n) = 2*n**2 - 5*n - 4. Suppose -3*t - 3 = -18. Let m(v) = t*h(v) + 4*l(v). What is the derivative of m(w) wrt w?
6*w
Let z(j) be the second derivative of -j**4/24 + 2*j**3/3 - 3*j**2/2 + 2*j. Let y(k) be the first derivative of z(k). What is the first derivative of y(u) wrt u?
-1
Let a(m) be the third derivative of -m**7/30 - 4*m**5/15 + 7*m**2. Find the third derivative of a(o) wrt o.
-168*o
Let b be 14 - 6/9*3. Suppose -4*t = v - 8*t - 11, -3*t - b = -2*v. What is the third derivative of v*q**2 + 0*q**3 - 2*q**3 + q**3 wrt q?
-6
Let i(s) = -s**3 - s + 1. Let c be -3*(1/1 - 0). Let z(t) = 3*t**4 - 3*t**3 - 3*t + 5. Let l(w) = c*i(w) + z(w). Find the first derivative of l(a) wrt a.
12*a**3
Let p be (60/(-25))/(4/(-10)). What is the third derivative of x**2 - 4*x**3 - 2*x**2 + p*x**2 wrt x?
-24
Let a(y) = 3*y**2 - 2*y + 3. Let q(r) = -r + 1. Let s(j) = -a(j) + 2*q(j). Find the first derivative of s(o) wrt o.
-6*o
Let q(v) = -22*v**3 + 30*v**2 + 17. Let k(c) = 7*c**3 - 10*c**2 - 6. Let z(s) = 17*k(s) + 6*q(s). What is the third derivative of z(x) wrt x?
-78
Let t(d) = d + 1. Let n(g) = -17*g - 23. Let m(y) = n(y) + 2*t(y). What is the derivative of m(p) wrt p?
-15
Let l(u) = -9*u**2 - 24*u - 1. Let b(s) = -s + 1. Let r(z) = -b(z) - l(z). Find the second derivative of r(d) wrt d.
18
Let k(g) = 1. Let t(f) = f**2 - 5. Let l(r) = 18*k(r) + 4*t(r). What is the first derivative of l(v) wrt v?
8*v
Let m(l) be the first derivative of l**6/2 - 5*l**2/2 - 3. What is the second derivative of m(s) wrt s?
60*s**3
Let u(h) be the second derivative of -14*h**6/15 + 5*h**3/2 - 10*h. What is the second derivative of u(s) wrt s?
-336*s**2
Let o(h) be the first derivative of -h**6/30 + 5*h**3/6 + 2*h**2 - 4. Let n(d) be the second derivative of o(d). Find the first derivative of n(u) wrt u.
-12*u**2
Let n be (-2)/3 + 39/(-9). Let x = -2 - n. What is the third derivative of -t**5 - x - 3*t**2 + 3 wrt t?
-60*t**2
Let t = 10 - 4. Find the third derivative of 3*j**2 + j**t - j**2 - 3*j**6 wrt j.
-240*j**3
Let o(y) = 30*y**4 + 8*y - 26. Let f(z) = z - 1. Let d(b) = 8*f(b) - o(b). Differentiate d(j) with respect to j.
-120*j**3
Let u(g) be the first derivative of g**4/12 + g**2 - g - 1. Let f(d) be the first derivative of u(d). Differentiate f(c) with respect to c.
2*c
Let b be (-1 - -4)*(-2 - -3). Suppose -2 = -4*m + b*m. Find the second derivative of -2*k + 2*k**2 - 2*k**2 + k**m wrt k.
2
Let q(g) = 16*g - 12. Let w(b) = b + 1. Let v(z) = -q(z) + 3*w(z). What is the derivative of v(t) wrt t?
-13
Let u = -25 + 25. Let f(m) be the third derivative of 0*m - 2*m**2 + 0*m**5 + 0 + u*m**3 - 1/24*m**4 - 1/60*m**6. Find the second derivative of f(t) wrt t.
-12*t
Let a(j) = -j**2 - 13*j + 2. Let c(s) = -s**2 + 1. Let o(z) = -a(z) + 2*c(z). What is the second derivative of o(q) wrt q?
-2
Let b(t) be the second derivative of 2*t**6/15 - 4*t**3/3 + t. Find the second derivative of b(a) wrt a.
48*a**2
Let w(a) = 4*a**2 + 4. Let f = 2 + -4. Let v(p) = -1. Let s(c) = f*v(c) - w(c). Differentiate s(g) wrt g.
-8*g
Let j(k) be the first derivative of -3*k**2/2 + 6*k + 6. What is the first derivative of j(m) wrt m?
-3
Let y(d) = d**4 + d**3 - d**2 - d + 1. Let j(i) = -i**4 + 2*i**3 - 4*i**2 - 2*i + 2. Let r(p) = j(p) - 2*y(p). What is the third derivative of r(m) wrt m?
-72*m
Let v(s) = -s**3 - 8*s**2 - s - 6. Let d be v(-8). What is the first derivative of 3 - 25*q**d + 25*q**2 + q**3 wrt q?
3*q**2
Let j(x) be the first derivative of 29*x**4/4 - 47*x - 28. What is the derivative of j(q) wrt q?
87*q**2
Suppose -3*q = q - 24. Let l = 9 - q. Find the third derivative of -p**2 - l*p**3 + 4*p**2 - p**2 wrt p.
-18
Let v(o) be the second derivative of 0*o**3 - o + 0 + 0*o**5 + 1/14*o**7 + 0*o**6 + 1/4*o**4 + 0*o**2. What is the third derivative of v(a) wrt a?
180*a**2
Find the second derivative of i**2 + 5*i**2 + 5*i - i - i**2 wrt i.
10
Let q be (-2)/(-4) + 10/20. What is the first derivative of -4 + q - j**3 - 1 wrt j?
-3*j**2
Let n be (-6 - -6 - 1) + 0 + 0. Let d(s) = s**4 - 3 + 3. Let g(h) = -h**4 - 3. Let f(q) = n*g(q) - 3*d(q). Differentiate f(x) with respect to x.
-8*x**3
Let k(h) = 2*h**2 - 8*h + 4. Let m be k(6). Find the third derivative of 0*y**2 + m*y**5 - 27*y**5 - 3*y**2 wrt y.
60*y**2
Let q be 4/6*(-3 + 6). Differentiate 3*a**3 - q*a**3 - 3*a**3 - 4 + 5 with respect to a.
-6*a**2
Suppose 2*j = j + 2. What is the second derivative of -6*r + r**3 + j*r + 6*r wrt r?
6*r
Suppose 2*o + 1 = 5. Let c(i) be the first derivative of -1/4*i**4 - i + 0*i**3 - o + 0*i**2. What is the derivative of c(m) wrt m?
-3*m**2
Let p(a) be the third derivative of -3*a**2 + 0*a**5 + 0*a**3 + 1/40*a**6 + 0*a + 0 - 1/24*a**4. Find the second derivative of p(w) wrt w.
18*w
Suppose q + 2 + 19 = 2*t, 0 = 4*t - 4*q - 44. Let c = t - 7. What is the third derivative of -7*m**2 + 2*m**6 - c*m**6 + 8*m**2 wrt m?
-120*m**3
Let w(p) be the third derivative of 29*p**7/210 - 31*p**5/60 + 4*p**2. Find the third derivative of w(s) wrt s.
696*s
Let f(c) be the first derivative of c**5 - 5*c**2/2 - 1. What is the second derivative of f(b) wrt b?
60*b**2
Suppose 5*k + 2 = k - 2*x, 2*k + 5*x = -21. Differentiate 4*l + 6 + 0*l - k*l - 3 wrt l.
2
Let a(f) = 4*f**4 + 5*f**2. Let b(u) = -u**4 + 0*u**2 - u**4 + 4*u**2 + 5*u**4. Let x(r) = 6*a(r) - 7*b(r). Find the third derivative of x(g) wrt g.
72*g
Let o(v) = -v**2 - 1. Let b be -1 + (0/1)/2. Let f(i) = -3*i**2 + i - 6. Let a(n) = b*f(n) + 6*o(n). What is the second derivative of a(k) wrt k?
-6
Let h be ((-12)/(-10))/((-15)/(-50)). Suppose -h*m - 2 = 4*p - 14, -2*m + 6 = -5*p. What is the second derivative of -m*v**5 + 0*v + 2*v + 2*v**5 wrt v?
-20*v**3
Let p(j) be the second derivative of -1/2*j**4 + 0 - 7*j + 0*j**3 + 0*j**2 - 1/4*j**5. Find the third derivative of p(u) wrt u.
-30
Let o(u) = u + 13. Let j be o(-11). What is the second derivative of -5*f - f - 5*f**5 + j*f**5 - f**5 wrt f?
-80*f**3
Let c(y) be the first derivative of -1/2*y**3 + 0*y + 2*y**2 + 3 - 1/6*y**4. Let b(i) be the second derivative of c(i). Differentiate b(u) wrt u.
-4
Let w(n) = 22*n - 25. Let o(x) = -22*x + 25. Let b(m) = -5*o(m) - 4*w(m). Differentiate b(q) with respect to q.
22
Let z(p) be the second derivative of 3/10*p**5 + 6*p + 0*p**3 + 0 + 0*p**2 - 1/3*p**4. Find the third derivative of z(m) wrt m.
36
Let z(g) be the first derivative of -g**4 + 0*g**2 - 11 + 11/3*g**3 + 0*g. Find the third derivative of z(o) wrt o.
-24
Suppose 2*i + 2 = -2*f - 4, -4*f = i. Let w be 48/26 + i/(-26). Find the second derivative of 2*h**2 + 4*h + 0*h + h**w wrt h.
6
Let u(k) = k**2 + 3*k**2 + 3 - 4*k**3 + k**3 - 4*k. Let p(j) = 4*j**3 - 5*j**2 + 5*j - 4. Let r(t) = 4*p(t) + 5*u(t). Find the first derivative of r(z) wrt z.
3*z**2
Let x( | {
"pile_set_name": "DM Mathematics"
} |
4 + 2)*(-22012*u - 353*u - 1265*u + 345*u - 4083*u) in the form v*u + f and give v.
54736
Express (129 - 82*s - 129)*(1 + 0 + 0)*(-42*s - 32*s + 53*s)*(4 - 3 + 1) as q*s**2 + v*s + c and give q.
3444
Express ((1 + 3 - 3)*(6 - 9 + 20) - 1 + 3 - 3 + 11 + 8 - 22 + (1 + 0 + 3)*(3 + 3 - 5))*(j - 1 + 1) in the form o + k*j and give k.
17
Rearrange 215*j**2 + 6 - 6 - 1 - 34*j - 45*j + 64*j to d + v*j + t*j**2 and give t.
215
Express 2*x + 2479*x**2 - 7*x + 3*x - 1766*x**2 - 3 in the form f + u*x**2 + k*x and give k.
-2
Express 10 + 238*w + 249*w - 483*w as k + i*w and give k.
10
Rearrange -7006*n + 11211 + 11203 + 11212 - 33626 to o + s*n and give s.
-7006
Rearrange (-7 + 11 - 12)*(4 - 2 + 0)*(q**2 - 3*q**2 + q**2)*(-16 - 28*q - 51*q + 92*q - 4*q**2) to l + p*q + c*q**4 + k*q**2 + f*q**3 and give f.
208
Rearrange 38 - 105*d + 253*d + 4*d**2 + d**2 - 141*d to l*d**2 + r + h*d and give l.
5
Rearrange -30 + r + 16 + 8 - 25 + 25 - 2*r + (-4*r + 5*r - 3*r)*(4 + 1 - 3) - 3 - 5*r + 3 to the form o*r + h and give h.
-6
Rearrange (19 - 17*u - 19)*(2 - 4 + 0)*(2*u + 50*u + 2 + 22*u) to c*u**2 + d + b*u and give b.
68
Rearrange 32638*f**2 + 32600*f**2 - 3711*f - 65239*f**2 to the form y + i*f + d*f**2 and give d.
-1
Rearrange -4153 - 43*o + 39*o + 1085 to the form t + x*o and give x.
-4
Rearrange (-15*v**2 - 13*v**2 + 233*v - 234*v)*(24*v + 2070 - 2070)*(-9*v - 28 + 28) to s*v**4 + f*v**2 + r + a*v + i*v**3 and give s.
6048
Express (5 - 5 + 2)*(-1166 - 14059*o**3 + 28114*o**3 - 14056*o**3) in the form b*o + w + d*o**3 + g*o**2 and give d.
-2
Rearrange 16*s - 42*s + 12*s + 4*s + 3143 + 8*s to the form f + h*s and give f.
3143
Express -4*f + 1147 - 3*f - 2*f**2 + 1139 + 1144 - 3420 as j*f + b*f**2 + w and give j.
-7
Rearrange -6*i**4 - i + i + (0*i**4 - 2*i**4 + 6*i**4)*(13 + 88 + 228) to a*i + y*i**4 + c + q*i**2 + m*i**3 and give y.
1310
Rearrange v - 4*v + 4*v - 423*v**2 - 422*v**2 - 238*v**2 to the form u*v + a + y*v**2 and give u.
1
Express 2223*d**3 - 2220*d**3 - 13*d**4 - 7*d + 2*d**2 - 5*d as b*d**4 + y*d**3 + k*d + o + n*d**2 and give y.
3
Rearrange (-7 + 6 + 5)*(s - 3*s + 3*s)*(-371560 - 2078*s + 371560)*(s - s - 4*s**2) to the form b*s**4 + t*s**3 + a*s + d*s**2 + k and give b.
33248
Express 6*s - 35*s**3 - 3157*s**2 + 3082*s**2 + 82*s**3 + 1 - 41*s**3 as p*s**2 + d + l*s**3 + y*s and give y.
6
Rearrange -268*h + 268*h - 57 + 16*h**2 + 53 to f + d*h + z*h**2 and give f.
-4
Express ((-1 - 5 + 3)*(3 + 2 - 4) - 1 - 2 + 1)*(-4297359 + 4297359 - 10259*o) in the form y*o + x and give y.
51295
Rearrange -v**4 + 17*v**2 + 10 + 5 - 3671*v - 9*v**2 - 2*v**2 + 3669*v to the form z*v**3 + i + h*v + f*v**4 + r*v**2 and give r.
6
Express -8 + 0 - 3*f**2 + 9 + 46*f**3 + 0*f - f**4 - 17*f**3 + f as d*f**3 + z + a*f**2 + p*f**4 + x*f and give p.
-1
Express 21*q**2 - 22*q**2 + 11*q**2 - 258 - 291 + 3*q**2 in the form g*q + y*q**2 + b and give b.
-549
Express -4280*b + 119*b**3 - 4*b**3 + b**2 + 4274*b in the form w*b + y*b**2 + o*b**3 + j and give w.
-6
Express (216 - 1304*g + 1435*g - 218 + 2672*g)*(-3 - 8 + 24) as j + q*g and give q.
36439
Express (-4 + 4 + 6*m)*(-3*m + 5*m - 4*m)*(214 - 57 + 576) as w + u*m**2 + k*m and give u.
-8796
Express 307*k**2 + 0*k - 330*k**2 + 2 + 0*k + k**3 in the form o + r*k**2 + h*k**3 + f*k and give o.
2
Rearrange -271*a + 26 - 234*a + 515*a - a**2 to the form b*a**2 + w + g*a and give b.
-1
Express 7*w**4 + 0*w**3 - w**3 + 1 - 6*w**4 - 81*w - 87*w - 3 in the form u*w**3 + y*w**2 + l*w**4 + m*w + b and give b.
-2
Rearrange 6222 - 12475 + 6256 - 8095*l**2 to t*l + j + i*l**2 and give j.
3
Rearrange z**4 + 122*z**3 + z**2 + 5662 - 120*z**3 + 3*z - 5666 + 2*z to n*z + l*z**3 + q*z**4 + f*z**2 + c and give l.
2
Express (0 + 0 - r**2)*(140 + 49*r - 19*r - 26*r) in the form n*r**3 + c*r + a + y*r**2 and give y.
-140
Express 8*y + 6 + 70*y + 223*y + 20 - 31 in the form h + o*y and give h.
-5
Express -82530*k**3 - 103*k**4 + 2*k**2 + 595*k**4 + 82529*k**3 - 3*k in the form q + y*k + f*k**3 + d*k**2 + u*k**4 and give y.
-3
Express -615*k**2 + 1014*k**2 + 2137*k**2 as w + x*k + i*k**2 and give i.
2536
Rearrange -3*m - 1041*m**3 - 1071*m**3 - 135*m**2 + 2113*m**3 to k*m + z + a*m**2 + v*m**3 and give a.
-135
Rearrange (-3*c - c**2 + 3*c)*(-2 - 2*c + 2) + 18404*c**3 - 9354*c**3 + 13751*c**3 to the form n*c**2 + f*c**3 + v*c + z and give f.
22803
Rearrange 611646*x + 4 - 5 - 611638*x - 9*x**2 to p*x + c + i*x**2 and give p.
8
Rearrange 17526 + 784 - 2*o**2 - 616 to w*o + f + l*o**2 and give w.
0
Express -r**2 + 16*r + 169*r**4 + 3*r**3 - 4*r**3 - 444*r**4 + 273*r**4 as f*r**3 + t*r**2 + g*r + b*r**4 + o and give g.
16
Express (-4*q**2 - 41*q**2 + 91*q**2)*(-2 + 2 + 2*q)*(-5 - 12 - 1) as h*q**2 + d*q + b + o*q**3 and give o.
-1656
Express (0*h - 5*h + 2*h)*(5570 - 2*h - 2866 - 3049) in the form k*h**2 + c + x*h and give k.
6
Rearrange -1296*k - 57*k - 1694*k - 603*k to s*k + z and give s.
-3650
Express (12*x**2 + 7*x**2 - 16*x**2)*(2 - 2 - 4*x) + 12*x**3 - 27*x**3 + 7*x**3 in the form y*x**3 + n + s*x + l*x**2 and give y.
-20
Rearrange 1 - 1734*w**2 - 7501*w + 7501*w to j*w + z + t*w**2 and give t.
-1734
Rearrange -15*j**2 - 114*j + 12*j**2 + 1 + 37*j to the form q + w*j + b*j**2 and give q.
1
Express -68*r + 30*r + 5*r**3 + 80*r + 4*r**3 - 2 as p*r**2 + l*r + w*r**3 + q and give l.
42
Express (-1090 - 944 - 1095 + 895)*(2*f + 0 + 0) in the form w*f + q and give w.
-4468
Rearrange 3694*r**2 + 64628 - 64628 to the form k*r + t + x*r**2 and give t.
0
Rearrange -45*q + 37 - 59 + 43*q - 2*q**2 + 19 - 645*q**3 to a*q**3 + x*q + c + m*q**2 and give x.
-2
Rearrange (1 - 4 - 2)*(3*n - 6*n + 36*n) - 9 + 5*n + 9 + (-6*n + 0*n - n)*(4 - 3 - 2) - 3*n + 0*n + 2*n to the form u + r*n and give r.
-154
Rearrange 7933*z**2 + 31408*z + 16398*z**2 - 31408*z - 900*z**2 to the form l*z**2 + d*z + o and give l.
23431
Rearrange -3*b**3 - 4*b**3 + b**4 + 12598 - 12604 + 0*b**3 - b**2 - 7*b**3 to the form g*b**2 + w*b**4 + c*b + j + t*b**3 and give t.
-14
Express 586*m**2 + 247*m**2 - 259*m**2 + (-3*m + 2*m - m)*(-3 - 1 + 2)*(-3*m - 3*m + 9*m) in the form z*m + a*m**2 + t and give a.
586
Express -6 + 1 - 11*k - 2*k - 4 + 3 in the form u*k + r and give u.
-13
Rearrange -2 - 10*b + 620*b**2 - b**3 + 11*b - 560*b**2 - 2*b**4 to m*b + s*b**2 + o + p*b**3 + z*b**4 and give z.
-2
Rearrange 2507418 + 0*h**3 + h**3 - 2503848 to q*h**2 + d + t*h**3 + k*h and give q.
0
Express (-w**2 + 2*w**2 - 3*w**2)*((0 - 2 - 2)*(3 + 3 - 5) + 4 - 3 + 6)*(0*w - 3 + 0*w + w) as q*w + k*w**2 + b*w**3 + z and give k.
18
Rearrange 98 + 2*t**2 - 45*t**3 + 126 - 420 + 5*t**4 + 2*t + 96 + 99 to the form b*t**2 + i + p*t**4 + d*t + m*t**3 and give b.
2
Express (-16 + 10 - 11)*(0*o + 4*o + 0*o)*(o**2 + o**2 - 6*o + o**2) as q*o**2 + w*o**3 + s + k*o and give w.
-204
Express -72 - 31053*z - 31058*z + 62117*z as m + d*z and give m.
-72
Rearrange (43*p**2 - 17*p**2 - 261*p**2)*(1 + 4 - 3 + (3 + 1 - 5)*(1 - 4 + 5) - 1 - 3 + 2) to the form v*p + x*p**2 + i and give x.
470
Express (4*o - o - 2*o)*(0*o + 2*o - o) + o**2 + 10*o**2 - 8*o**2 + (-97*o + 6*o - 95*o)*(-o + o - o) in the form t*o + s + n*o**2 and give n.
190
Express 79*p**3 - 4*p + 251*p**3 - 15*p**3 - 2*p**2 + 7*p - 73*p**3 - 3 as r + g*p**2 + w*p + f*p**3 and give r.
-3
Rearrange -10*a**3 - 9225 - a**2 - 9222 + 18450 - 22*a to the form j*a**2 + y*a + p + x*a**3 and give j.
-1
Rearrange (0*a - 7*a - 20*a)*(86*a + 188 - 188 + (-a + 5*a - 2*a)*(0 - 1 + 0)) to u + z*a**2 + g*a and give g.
0
Express -133046 + 133046 - 1018*q**2 - 556*q**2 in the form k + a*q**2 + c*q and give a.
-1574
Express 33502*a**3 + 2*a - 3 - 33251*a**3 - 4*a - 2*a**2 - 3*a**4 - 2*a in the form d*a**4 + c*a**2 + r*a + q + j*a**3 and give r.
-4
Express 1443*a**3 - 38*a - 5*a - 180 - 1448*a**3 - 3*a**2 + 181 + 2*a**2 as h + s*a + o*a**2 + c*a**3 and give o.
-1
Rearrange -52 - 50 + 2*p - 34 - 2707*p**2 + 136 to i*p**2 + c*p + t and give t.
0
Express 210 - 625 + 204 + 88*d + 205 - 2073*d in the form o + c*d and give c.
-1985
Rearrange 472*q - 454*q + 12*q**3 - 13*q**3 + 58*q**2 to the form u*q**2 + k*q**3 + g*q + y and give u.
58
Rearrange (683*w**2 + 672*w**2 - 1355*w**2 + 4311*w**3 + 4155*w**3)*(-2*w + 4 + 3 - 2) to n*w**3 + o + g*w + q*w**4 + h*w**2 and give q.
-16932
Express 4*v* | {
"pile_set_name": "DM Mathematics"
} |
78061?
0
What is the tens digit of 2030?
3
What is the tens digit of 19459?
5
What is the thousands digit of 16975?
6
What is the hundreds digit of 9858?
8
What is the hundreds digit of 574?
5
What is the hundreds digit of 1980?
9
What is the tens digit of 2308?
0
What is the thousands digit of 185455?
5
What is the units digit of 140?
0
What is the tens digit of 391?
9
What is the tens digit of 349?
4
What is the tens digit of 48125?
2
What is the units digit of 2657?
7
What is the tens digit of 10883?
8
What is the thousands digit of 1152?
1
What is the hundreds digit of 3615?
6
What is the ten thousands digit of 85298?
8
What is the hundreds digit of 1885?
8
What is the units digit of 1140?
0
What is the hundreds digit of 371?
3
What is the units digit of 10556?
6
What is the hundreds digit of 1060?
0
What is the units digit of 967?
7
What is the ten thousands digit of 24208?
2
What is the tens digit of 12684?
8
What is the units digit of 4864?
4
What is the tens digit of 1852?
5
What is the units digit of 7882?
2
What is the units digit of 5502?
2
What is the units digit of 261?
1
What is the units digit of 16418?
8
What is the hundreds digit of 20992?
9
What is the thousands digit of 4020?
4
What is the hundreds digit of 40258?
2
What is the tens digit of 376?
7
What is the hundreds digit of 1213?
2
What is the tens digit of 467?
6
What is the tens digit of 1197?
9
What is the hundreds digit of 116837?
8
What is the thousands digit of 6324?
6
What is the ten thousands digit of 170967?
7
What is the tens digit of 25448?
4
What is the units digit of 2632?
2
What is the thousands digit of 17618?
7
What is the tens digit of 6071?
7
What is the units digit of 1286?
6
What is the hundreds digit of 584?
5
What is the thousands digit of 7966?
7
What is the hundreds digit of 90662?
6
What is the hundreds digit of 5051?
0
What is the tens digit of 3061?
6
What is the tens digit of 237?
3
What is the units digit of 3920?
0
What is the tens digit of 9467?
6
What is the hundreds digit of 1041?
0
What is the hundred thousands digit of 128489?
1
What is the tens digit of 2460?
6
What is the thousands digit of 1567?
1
What is the units digit of 13355?
5
What is the units digit of 1622?
2
What is the units digit of 3340?
0
What is the tens digit of 11394?
9
What is the ten thousands digit of 50493?
5
What is the units digit of 502?
2
What is the units digit of 2659?
9
What is the tens digit of 1856?
5
What is the units digit of 543?
3
What is the hundreds digit of 1256?
2
What is the tens digit of 97298?
9
What is the tens digit of 1024?
2
What is the units digit of 11509?
9
What is the tens digit of 894?
9
What is the units digit of 1043?
3
What is the units digit of 3189?
9
What is the hundreds digit of 2533?
5
What is the tens digit of 30153?
5
What is the units digit of 1567?
7
What is the hundreds digit of 50966?
9
What is the units digit of 3129?
9
What is the thousands digit of 46873?
6
What is the hundreds digit of 548?
5
What is the hundreds digit of 8126?
1
What is the tens digit of 1511?
1
What is the units digit of 9496?
6
What is the hundreds digit of 1558?
5
What is the hundreds digit of 2712?
7
What is the hundreds digit of 17591?
5
What is the tens digit of 2773?
7
What is the tens digit of 911?
1
What is the tens digit of 504?
0
What is the units digit of 432?
2
What is the hundreds digit of 335?
3
What is the hundreds digit of 346?
3
What is the tens digit of 3662?
6
What is the tens digit of 1257?
5
What is the tens digit of 2571?
7
What is the units digit of 36561?
1
What is the units digit of 30018?
8
What is the tens digit of 139027?
2
What is the units digit of 766?
6
What is the thousands digit of 5481?
5
What is the units digit of 7378?
8
What is the thousands digit of 1571?
1
What is the ten thousands digit of 136202?
3
What is the units digit of 5253?
3
What is the units digit of 40355?
5
What is the tens digit of 470?
7
What is the thousands digit of 5994?
5
What is the units digit of 2642?
2
What is the hundreds digit of 1694?
6
What is the thousands digit of 1668?
1
What is the units digit of 43867?
7
What is the thousands digit of 2252?
2
What is the thousands digit of 11801?
1
What is the units digit of 1931?
1
What is the units digit of 146382?
2
What is the units digit of 2971?
1
What is the thousands digit of 3999?
3
What is the ten thousands digit of 90608?
9
What is the tens digit of 31329?
2
What is the tens digit of 10602?
0
What is the thousands digit of 31929?
1
What is the thousands digit of 21932?
1
What is the hundreds digit of 12944?
9
What is the thousands digit of 11068?
1
What is the thousands digit of 79988?
9
What is the ten thousands digit of 17725?
1
What is the ten thousands digit of 20129?
2
What is the ten thousands digit of 121959?
2
What is the hundreds digit of 549?
5
What is the hundreds digit of 194?
1
What is the hundreds digit of 78011?
0
What is the tens digit of 2431?
3
What is the thousands digit of 3207?
3
What is the hundreds digit of 5343?
3
What is the tens digit of 760?
6
What is the hundreds digit of 5589?
5
What is the units digit of 105695?
5
What is the hundreds digit of 1884?
8
What is the hundreds digit of 8568?
5
What is the units digit of 7881?
1
What is the units digit of 10985?
5
What is the units digit of 1428?
8
What is the thousands digit of 85220?
5
What is the ten thousands digit of 67945?
6
What is the units digit of 2496?
6
What is the thousands digit of 4862?
4
What is the ten thousands digit of 11251?
1
What is the tens digit of 14880?
8
What is the hundreds digit of 12470?
4
What is the hundreds digit of 3331?
3
What is the thousands digit of 1047?
1
What is the hundreds digit of 3952?
9
What is the hundreds digit of 158?
1
What is the ten thousands digit of 24903?
2
What is the hundreds digit of 68053?
0
What is the units digit of 1072?
2
What is the thousands digit of 5639?
5
What is the units digit of 16000?
0
What is the ten thousands digit of 63694?
6
What is the units digit of 243?
3
What is the tens digit of 5998?
9
What is the hundreds digit of 3899?
8
What is the thousands digit of 77711?
7
What is the units digit of 49455?
5
What is the tens digit of 4305?
0
What is the units digit of 1429?
9
What is the thousands digit of 23116?
3
What is the units digit of 43849?
9
What is the hundreds digit of 422?
4
What is the units digit of 32703?
3
What is the thousands digit of 16832?
6
What is the units digit of 633?
3
What is the thousands digit of 27729?
7
What is the units digit of 3640?
0
What is the ten thousands digit of 53689?
5
What is the tens digit of 753?
5
What is the thousands digit of 2090?
2
What is the ten thousands digit of 62278?
6
What is the hundreds digit of 5534?
5
What is the units digit of 69351?
1
What is the hundreds digit of 97852?
8
What is the hundred thousands digit of 126965?
1
What is the ten thousands digit of 12481?
1
What is the units digit of 240?
0
What is the thousands digit of 14522?
4
What is the units digit of 3480?
0
What is the tens digit of 1909?
0
What is the units digit of 1795?
5
What is the tens digit of 190?
9
What is the units digit of 38941?
1
What is the units digit of 375?
5
What is the units digit of 80?
0
What is the tens digit of 1428?
2
What is the ten thousands digit of 31622?
3
What is the hundreds digit of 384?
3
What is the hundreds digit of 95554?
5
What is the units digit of 6?
6
What is the hundreds digit of 2423?
4
What is the thousands digit of 63256?
3
What is the tens digit of 8271?
7
What is the thousands digit of 1426?
1
What is the units digit of 6404?
4
What is the thousands digit of 15382?
5
What is the tens digit of 59043?
4
What is the hundreds digit of 11508?
5
What is the hundreds digit of 1016?
0
What is the hundreds digit of 833?
8
What is the units digit of 3134?
4
What is the thousands digit of 2298?
2
What is the tens digit of 12344?
4
What is the tens digit of 39124?
2
What is the units digit of 3580?
0
What is the thousands digit of 1134?
1
What is the units digit of 201?
1
What is the hundreds digit of 26437?
4
What is the hundreds digit of 7319?
3
What is the tens digit of 7708?
0
What is the hundreds digit of 4081?
0
What is the hundreds digit of 20929?
9
What is the units | {
"pile_set_name": "DM Mathematics"
} |
e ((-2)/(-2))/(7/28). Let j be (z/(-10))/(153/(-15)). Let p = j - 59/204. Are 1 and p equal?
False
Let o(d) = d**2 + 3*d - 2. Let m be o(-4). Let w be -1*3/6*m. Is 1 less than or equal to w?
False
Let i = -22 + 25. Let j = -0.6 + 3.7. Let a = i - j. Which is smaller: a or 0?
a
Let g = -0.1 - -0.15. Let y = -0.09 - 0.16. Let q = y + g. Which is greater: q or -2?
q
Suppose -z - 5 = 0, -9*z = 5*t - 4*z. Suppose 8 = -r + t*p - 12, 0 = r + 3*p - 12. Which is greater: -2/9 or r?
r
Let z(f) = -2*f**3 - f**2 - 1. Let x be z(-2). Suppose 13*v - 5*g - 5 = 12*v, 4*v - g - 39 = 0. Is x >= v?
True
Suppose -9*u = -8*u + 2. Suppose 3*f = 3*l, 2*l = f - 5 - 0. Is l not equal to u?
True
Let t be 6/24*4/1. Let l(g) = g**3 + g + 4*g**2 + 5*g + 0*g + 4*g**2 - t. Let p be l(-7). Are p and -1 non-equal?
True
Let s be -1 - 170/(-8) - 27/108. Which is greater: s or 41/2?
41/2
Let o = -4 - -4. Are 8/15 and o equal?
False
Let v be ((-3)/(-9))/((-14)/(-12)). Is 1/4 bigger than v?
False
Suppose g = -3*g. Which is bigger: g or -1/4?
g
Let m = 75 - 77. Which is bigger: -6/7 or m?
-6/7
Let m = 62/195 - -1/65. Is 7 at least as big as m?
True
Let m = 37 - 32. Which is smaller: 4 or m?
4
Let u = -9778/11 - -890. Do 1 and u have the same value?
False
Let d be ((-3)/6)/((-2)/(-4)). Let n(m) = -2*m + 12. Let w(p) = -2*p + 12. Let b(t) = 7*n(t) - 6*w(t). Let z be b(6). Which is smaller: z or d?
d
Let j = 2497 + -262187/105. Is j at least as big as 0?
False
Let j = 0.21 + -0.22. Which is bigger: 3/4 or j?
3/4
Suppose 3*f = t - 4*t + 3, -5*t = 4*f - 1. Suppose 0 = f*j - j + 6. Which is smaller: j or -8/7?
j
Suppose -2*x - 2*j = 10, -2*j = 7*x - 2*x + 13. Which is smaller: x or -65?
-65
Let j = 9 + -9. Let o be (-34)/(-6) - 4/6. Suppose o*m + 6 - 1 = 0. Is m greater than or equal to j?
False
Let b be 22 + (-12)/((-4)/(-1)). Suppose -b - 1 = -4*t. Is 5 greater than t?
False
Let m = 15 - 11. Suppose 9*n = m*n - 25. Let a = 8 + n. Are -2 and a nonequal?
True
Suppose j = 4*j - 3. Let h = j + 0. Let b be (h - (-7)/(-3))/2. Which is bigger: 0 or b?
0
Suppose g + 10 = 5*i, 3*g + 21 - 4 = 2*i. Suppose f + 4 - i = 0. Suppose -4*w - 19 = 3*p, -2*p - 2*w - 14 = 2*w. Which is smaller: p or f?
p
Let u = -6 + 8. Suppose 0 = u*r - 4*r. Let k be r/2 + 1/2. Is k at most 1?
True
Let d = 1.1 + -1. Which is smaller: 0.03 or d?
0.03
Let h = 0.16 - 0.16. Is h at least as big as 2/67?
False
Let q(l) = l**3 + 5*l**2 + l + 7. Let h be q(-5). Let k be h/(-1) - (-1 + -2). Let p = 61/161 + -12/23. Is k bigger than p?
True
Suppose -q - 29 = 2*i, -i - 14 = q - 4*i. Which is bigger: -22 or q?
-22
Let l be 2/3 - (-3792)/(-42462). Let p = l + -2/337. Let c be (-12)/54 + 4/18. Is c < p?
True
Let f = -0.317 + 0.217. Let v = -1 - 0. Is v >= f?
False
Let t be -1*(-3 - -2) + -2. Let k be ((-6)/8)/(2/(-136)). Let a = 460/9 - k. Which is bigger: a or t?
a
Let b = -11.97 + 12. Let f = b - -0.17. Which is smaller: f or 0?
0
Let s = -15 + 14.9. Which is greater: -0.8 or s?
s
Let u be (12/(-24))/(5/2). Let a(v) = -v**3 - 2*v**2 + 2*v + 3. Let z be a(-2). Let g be z/(2/(-2) + 0). Is u smaller than g?
True
Let g be (-2)/18*96/(-16). Let v = 48 - 145/3. Which is smaller: g or v?
v
Let r be (-5)/(-1)*12/15. Let x be (r/(-18))/((-10)/(-15)). Which is smaller: 2/17 or x?
x
Let r be 1 - ((-7)/(-3) - 2). Let z = -5 + 9. Suppose 3*k = 5*h, 2*h = -2*k + z*k. Which is bigger: k or r?
r
Let z be (-1)/(-70)*(-15 - -9). Which is greater: 2/3 or z?
2/3
Let t = 0.048 + -11.048. Which is smaller: -1 or t?
t
Let w be ((-18)/33)/3 - 20/495. Which is greater: 0.27 or w?
0.27
Let g = -0.2 - 0. Let b = 0.2 + -2.2. Is g < b?
False
Suppose 0 = -4*k + 4*d + 36, 4*k - 2 - 4 = -2*d. Suppose -k*s = q - 4, -2*s + 2 = -q + 3*q. Let z be 1 - s - 2/2. Which is greater: -2/15 or z?
-2/15
Let j be 4/14 + 58/(-7). Let s be (j/90)/((-6)/(-15)). Let g = -13.1 + 13. Which is smaller: g or s?
s
Let k = 1399 - 11165/8. Is k > 4?
False
Let d = -10 + 16. Let i(b) = -b**3 - 14*b**2 + 14*b - 12. Let h be i(-15). Suppose -h = o - 1, -o = -x + d. Which is bigger: x or 5?
5
Suppose -19 + 4 = -5*p. Let t(g) = g - 3 - 3*g**2 + 2 - p*g. Let b be t(-1). Are b and -2 nonequal?
False
Let v(q) be the second derivative of q**4/12 - 5*q**3/3 - 11*q**2/2 - q. Let w be v(11). Let g = 4 + -3. Which is bigger: w or g?
g
Let o = -31 - -33. Let j(s) = 3*s + 2. Let h be j(-2). Is o at least h?
True
Suppose 0 = -4*w + 2*r + 8, 4*w - 3 = 3*w + r. Let x be 3/(5 + (-1)/1). Are w and x nonequal?
True
Let l = 4 - 3. Let o = 0 - l. Let x be 32/(-63) - 2/(-7). Do o and x have the same value?
False
Suppose -x = -5*x - 12, -p = 3*x + 10. Let l(r) = 2*r - 3. Let c be l(2). Let g be 2*c/(-2) - -2. Which is bigger: p or g?
g
Let z = 274 - 300.8. Let l = 26 + z. Are -1 and l equal?
False
Suppose 22 = -4*z + 2, 0 = -2*l - 2*z + 2. Is 5 less than l?
True
Suppose 3*m - 9 + 99 = 0. Which is bigger: m or -29?
-29
Suppose -5*j + 69 + 36 = 0. Let r = j - 64/3. Which is bigger: 0.3 or r?
0.3
Let k = -4 - 5. Let x = 9 + k. Is x greater than 1/5?
False
Let p = 247921/163 + -1521. Which is bigger: -1 or p?
p
Let p = 0.08 - -0.02. Let k = 1 + -5. Does p = k?
False
Suppose -2*x - x - 28 = -2*l, 0 = 2*x - 5*l + 37. Let u(z) = -z - 6. Let v be u(x). Let b(r) = r - 5. Let g be b(5). Is g equal to v?
True
Let j = 1.7 - -0.3. Let t = 30 - 30. Let a = t + j. Which is greater: a or 1/5?
a
Suppose 0*c = 4*c - 12. Let u = 5 - c. Which is bigger: u or 0?
u
Let q = 2 + 0. Suppose -m = -q*m. Let f be 16/3 - 20/5. Which is bigger: f or m?
f
Let a = 0.01732 - -26.07268. Let l = a - 24.1. Let t = l - -0.01. Is t >= 2/5?
True
Let h = -0.05 - 0.35. Let n = 7 + -6.5. Let b = h + n. Which is greater: 1/5 or b?
1/5
Let k = 2.56 + -2.9. Let q = -0.02 - -0.06. Let n = k + q. Which is smaller: n or -1?
-1
Let i(f) = -2*f**2 + 14*f - 9. Let u be i(13). Let t be (-1)/3 - 43/u. Let l = -7/660 + t. Do l and -1 have the same value?
False
Let s(f) = -11*f**2 + 39*f - 25. Let q(l) = 7*l**2 - 26*l + 17. Let r(y) = 8*q(y) + 5*s(y). Let z be r(12). Are -2/9 and z nonequal?
True
Let j be (-108)/(-30) + -5 + 1. Which is greater: -26 or j?
j
Let l = 368/45 - 42/5. Which is smaller: 0.4 or l?
l
Let t(f) = -f**3 + 10*f**2 - 2*f + 20. Let d be t(10). Let o be 0 - 2*(-5)/2. Let z(v) = -v**3 + 4*v**2 + 5*v + 1. Let h be z(o). Is d bigger than h?
False
Let b = 2198/11 - 198. Is b smaller than 1?
False
Let g = -0.07 - -7.07. Let y = g + -7.3. Which is smaller: y or -2/3?
-2/3
Suppose r = -3*b + 8, r = -3*r + 2*b + 46. Let l = r - 16. Which is greater: -4 or l?
-4
Let u = 6 + -8. Let c = -2 - u. Let w = c + -0.1. Which is greater: w or 2/7?
2/7
Let v(i) = i**2 - 5*i + 6. Suppose -4 - 12 = -4*x. Let n be v(x). Let k = 16 - 13. Which is smaller: k or n?
n
Let s = 168 - 108. Is s greater than or equal to 59?
True
Let s = 10 + -10. Suppose s = 4*f + f. Which is bigger: -1 or f?
f
Let c = 8.7 + -8.6. Let v = -9103/19 - -479. Is c at least v?
True
Let q be 1/(-4) + (-13)/(-4). Let b(n) = -n**2 - 3*n + 1 + 1 + 0. Let l be b(-3). Which is bigger: q or l?
q
Let h(a) = 4*a - 2. Let t be h(5). Let l be 2*(2 - 33/t). Suppose 0*i + 2*i = 0. Is l >= i?
True
Suppose 2*u = 3*u + 6. Let t be (-6)/(-9) - 2/u. Which is bigger: 2 or t?
2
Let z = -0.15 - 5.85. Let p = z - -8. Let v = 2 - 2. Which is greater: v or p?
p
Let g be -3*3/90*4. Which is smaller: 0 or g?
g
Let b(j) = -j**3 + 9*j**2 + 4. Let w be b(9). Let g be 2/2 - w/3. Let d = g + -1/15. Do d and 0 have the same value?
False
Suppose -2*l = 4*b - 28, 2*l - 30 = -3*l - 2*b. Which is bigger: l or 36/11?
l
Let a be (2/26)/(1 + -2). Let m = 14 - 14. Is m less than a?
False
Let n(c) = -c + 4. Let u = 4 + 0. Suppose -a - u*a = 0. Let b be n(a). Is 4 at most as big as b?
True
Let i be 4 + 0 + 1380/(-330). Is 0.2 equal to i?
False
Suppose -x = 3*x + 16. Let c = 3 + x. Suppose 0*k + 3*k = 0. Is c smaller than k?
True
Let w(y) = y**3 - 5*y**2 + y + 4. Let m be w(5). Suppose 3*b = 3*h - 4*h + 9, 3*b = h + m. Suppose -b*a - 7 + 1 = 0. Is -2 bigger than a?
False
Let y = -5783/65 + 89. Which is smaller: -1 or y?
-1
Suppose 298 = -6*q + 4. Is -51 at most q?
True
Let o(f) = -3*f**2 + f + 1. Let w be o(-1). Let k = 0 + w. Is -1 at least as big as k?
True
Let o be ((-4)/10)/(42/(-10)). Let w = -4/105 - o. Let m = -0.2 + -0.8. Is w | {
"pile_set_name": "DM Mathematics"
} |
.
y**(133/10)
Simplify (h**7*h**(-10))/(h**(-4/11)*h**(-4/3)) assuming h is positive.
h**(-43/33)
Simplify ((u/u**0)**(-22))**(14/11) assuming u is positive.
u**(-28)
Simplify (a/a**(-1/8))**(1/20) assuming a is positive.
a**(9/160)
Simplify (q**1)**18/((q/(q*(q*q**(-1/4))/q)*q)/(q*q**(-5)/q*q)) assuming q is positive.
q**(51/4)
Simplify ((((t*t**(-2))/t*t)/t)/t)**(-24/7) assuming t is positive.
t**(72/7)
Simplify p**(1/35)*p*(p*p*p**(-4/11)*p*p*p)/p*p assuming p is positive.
p**(2181/385)
Simplify p*p**6*p*p*p*p*p**(2/17)/p*(p**0)**(-3/40) assuming p is positive.
p**(172/17)
Simplify ((((c/(c*c/(((c*c/c**(-1/3)*c)/c)/c*c)*c))/c)/c*c)/c*c/(c/(c*c**(-3))))/(((c*c/(c/(c/c**0)))/c)/c)**(-38) assuming c is positive.
c**(-11/3)
Simplify (u*u*u**(-2/15)/u)**(3/32) assuming u is positive.
u**(13/160)
Simplify w**(-3/8)*w**7*(w**0)**(-1) assuming w is positive.
w**(53/8)
Simplify (g**1*g)**(-11/5)/(((g/(g**(2/3)/g))/g*g)/((g*g*g**4/g*g)/g)) assuming g is positive.
g**(-11/15)
Simplify (k**2/k*k/k**2)/(k**(-5/3)/(k/(k/(k*k*k/(k*(k**(-7)*k*k)/k))))) assuming k is positive.
k**(29/3)
Simplify (((((s*s/(s**(-2/5)/s))/s)/s)/s)**(-1/43))**(-11) assuming s is positive.
s**(22/215)
Simplify (l/(l*l**(27/4)/l))**18 assuming l is positive.
l**(-207/2)
Simplify (c**(-1/3))**(5/8)*(c**(-2/5))**(-10) assuming c is positive.
c**(91/24)
Simplify h/(h/((h*h**(1/9))/h))*h**(-2/7)*(h**(-1))**(2/11) assuming h is positive.
h**(-247/693)
Simplify k**(-29)/(k*k**(-15)) assuming k is positive.
k**(-15)
Simplify (f*((f**3/f)/f)/f*f**(-16))**(-5/9) assuming f is positive.
f**(25/3)
Simplify (o**2)**(34/7)/((o/(o*(o*o/(o*o**(3/2)))/o))/(o/(o/o**(-10))*o)) assuming o is positive.
o**(-11/14)
Simplify (z**(5/9)*z*z*z**(-1/32))**23 assuming z is positive.
z**(16721/288)
Simplify (l**(-2/13)*l)/((l/(l*l**0))/l)*l**(1/9)/l**2 assuming l is positive.
l**(-5/117)
Simplify n**33*n*(n*n*n/(n/n**38))/n assuming n is positive.
n**73
Simplify (n**0)**37*n**6*n/((n/(n**(1/2)*n))/n)*n assuming n is positive.
n**(19/2)
Simplify q**(-5)/q**(-1)*(q/q**(1/3))/q*(q/(q**(-5/3)/q))/q assuming q is positive.
q**(-5/3)
Simplify ((j*j**(-1/6))/j**(2/19))**(6/7) assuming j is positive.
j**(83/133)
Simplify (h**5*h*h**(-1/13))**(10/13) assuming h is positive.
h**(770/169)
Simplify (a**(-13)/(a**(2/13)/a*a*a))**31 assuming a is positive.
a**(-5704/13)
Simplify (v/v**21*v)/v**(-13) assuming v is positive.
v**(-6)
Simplify ((((p/(p/(p**2*p)*p))/p)/p*p)/p**(-5))/(p**(2/11)/p*p*p**(-6)) assuming p is positive.
p**(130/11)
Simplify ((s**0*s)/(s*s*s*s/(((s*s/s**(-2))/s)/s)*s*s))/(s**0*s)**(-8/3) assuming s is positive.
s**(-1/3)
Simplify a**1/(a*a**(7/2)*a) assuming a is positive.
a**(-9/2)
Simplify ((c*c/c**0)**(-5/2))**(-16/9) assuming c is positive.
c**(80/9)
Simplify (w/((w**(2/5)/w)/w)*w)**49/(w*w/(w*w*w**(1/2))*w/(w*w/(w*w**(2/7)/w))) assuming w is positive.
w**(12433/70)
Simplify (g**(-2/23)*g)**33 assuming g is positive.
g**(693/23)
Simplify (l*l*l*l**(-3/4))**(-19) assuming l is positive.
l**(-171/4)
Simplify ((g**(-4))**(2/29))**(35/6) assuming g is positive.
g**(-140/87)
Simplify ((c/c**(-1/4)*c)/c)/(c**(1/7)*c)*(c*c**0*c*c)/(c**(-1/17)/c) assuming c is positive.
c**(1983/476)
Simplify (a**(-1/5)*a)**(-2/75) assuming a is positive.
a**(-8/375)
Simplify x*x/(x/(((x/(x/x**(-1/3)))/x)/x*x))*x*x*x**(-1/14)*(x/(x/(x/x**1)))**(-1/29) assuming x is positive.
x**(67/42)
Simplify (j*(j**(2/7)*j)/j)/(j/(j**(8/3)/j)*j) assuming j is positive.
j**(20/21)
Simplify (h/(h**(1/6)*h))/h**(-2/19) assuming h is positive.
h**(-7/114)
Simplify q**(-1/12)*q**(1/26) assuming q is positive.
q**(-7/156)
Simplify (n*n/n**(-1/35)*n)**49 assuming n is positive.
n**(742/5)
Simplify g**9/(g/(g**(-1/9)/g*g*g*g)) assuming g is positive.
g**(89/9)
Simplify c**5/c**(-13) assuming c is positive.
c**18
Simplify ((o*o/o**1*o)/o**(-2/13))/(o**2/o*o*(o*o**(-1/3))/o) assuming o is positive.
o**(19/39)
Simplify (q**8/((q**(-1/4)*q*q)/q))**(-43) assuming q is positive.
q**(-1247/4)
Simplify (k**(-2/7))**49/(k**(-2/11)*k**(-1/4)) assuming k is positive.
k**(-597/44)
Simplify k*k*k**(-7/6)*k*k**(-7/3)/k*k assuming k is positive.
1/sqrt(k)
Simplify c**9*c**(2/11) assuming c is positive.
c**(101/11)
Simplify f**3/f*f*f*f**(-2/15)*f**1/(((f*f/(f/(f**0/f)))/f*f)/f*f*f) assuming f is positive.
f**(58/15)
Simplify a*a*(a*a**(-4/7))/a*a*a*a*a*(a*((a*a**(4/5)/a)/a)/a)/a*(a*a**(1/4)/a*a*a)/(a/a**6*a) assuming a is positive.
a**(1467/140)
Simplify (i**(-1/6)/i)**(-10/9) assuming i is positive.
i**(35/27)
Simplify u**(-2/7)/(u*u/(u*u**(3/2)))*(u**0)**(12/11) assuming u is positive.
u**(3/14)
Simplify (y**(-2/5)*y)**(26/7)*(y/(((y**5*y)/y)/y))/y*y**4/y assuming y is positive.
y**(43/35)
Simplify (c**(-4)*c**(-5)/c)/(c*c**(-2/27)/c*c*c*c/(c/(c*c**(-2)*c))*c) assuming c is positive.
c**(-349/27)
Simplify n**1*n/(n/(n*n**(-1/8)))*(n**(-1))**(4/5) assuming n is positive.
n**(43/40)
Simplify (m*m/m**(-1)*(m**(-1/2)*m)/m)/((m/(m**(-1/7)/m))/(m/(m/m**(1/3)))) assuming m is positive.
m**(29/42)
Simplify n**(1/3)*n**9 assuming n is positive.
n**(28/3)
Simplify (y/(y*((y**1*y)/y)/y))**(-31)*(y/(y**(-1/3)*y))/y**(2/21) assuming y is positive.
y**(5/21)
Simplify (o**(-1/6))**(-38) assuming o is positive.
o**(19/3)
Simplify ((f*f*(f*f/f**1*f)/f*f*f*f)/f)**13*(f/f**(-5/4))/f*(f*f*f*f**5*f)/f*f assuming f is positive.
f**(301/4)
Simplify o**23/o**5 assuming o is positive.
o**18
Simplify (x**(-1/3))**(-4)*(x*x**(-5))/x**5 assuming x is positive.
x**(-23/3)
Simplify (o/(o*o**(-1/5)))/o**(-5/6)*(o/(o/(o**(-2)*o*o))*o)/(o**(2/7)*o) assuming o is positive.
o**(157/210)
Simplify ((y*(y*(y*y**(3/4))/y)/y)/y)**21 assuming y is positive.
y**(63/4)
Simplify (x*x**(-1/4))**(22/5) assuming x is positive.
x**(33/10)
Simplify (((h*h*(h/((h*((h/h**(-1/8)*h)/h)/h)/h))/h*h)/h)/h*(h**(-2/9)/h)/h)/((h**(1/3)/h)/(h**(2/5)/h)) assuming h is positive.
h**(-461/360)
Simplify ((((h/h**2)/h*h)/h*h)/h*(h/h**(-4)*h)/h)**33 assuming h is positive.
h**99
Simplify ((f**(-19/2)/f)/(f*f*(f*f**(-9))/f*f*f))**(3/4) assuming f is positive.
f**(-33/8)
Simplify k**(11/6)*k**(-7)/k assuming k is positive.
k**(-37/6)
Simplify ((x**(-6)*x)/x**(-9/4))**(-3) assuming x is positive.
x**(33/4)
Simplify ((v*v**5)/(v/(v/(v/v**(-2/7)*v)*v)*v))**(5/8) assuming v is positive.
v**(65/28)
Simplify ((x**(-2))**(-4/37))**(2/35) assuming x is positive.
x**(16/1295)
Simplify (q**3)**(-3) assuming q is positive.
q**(-9)
Simplify k**(2/81)*k/k**21 assuming k is positive.
k**(-1618/81)
Simplify ((d**18/d*d)/(d**(-16)/d))**41 assuming d is positive.
d**1435
Simplify (h/(h*h*h**(-1)*h))**10/(h*h**(2/7))**(-14/3) assuming h is positive.
h**(-4)
Simplify (v*(v/v**(4/3))/v)**(-34) assuming v is positive.
v**(34/3)
Simplify p**4/p**(-2/21)*p**(-3)/((p/p**(-7)*p)/p) assuming p is positive.
p**(-145/21)
Simplify (v**(-2/3))**45/(v*v*v**(-1/4)*(v*v**2)/v*v) assuming v is positive.
v**(-139/4)
Simplify (n**(-7))**2 assuming n is positive.
n**(-14)
Simplify (j*j**7*j)/j**5*(j/(j/((j/j**(1/3))/j)))/(j*j**4/j*j) assuming j is positive.
j**(-4/3)
Simplify n/n**(1/14)*n**(-9/5) assuming n is positive.
n**(-61/70)
Simplify (a**8*a**0)/(((a*a*((a*a*a**(-2/3))/a*a*a)/a*a)/a)/a)**(-6) assuming a is positive.
a**22
Simplify d*d*d/d**16*d*d*d**(-1/21)/d assuming d is positive.
d**(-253/21)
Simplify (d/(d**(-4/3)/d))/(d/d**(-3/2))*(d/(d**(-2)/d))**(-5/13) assuming d is positive.
d**(-55/78)
Simplify (j/j**(1/2))**(-6/11)*(j**1)**(-1/5) assuming j is positive.
j**(-26/55)
Simplify (h**0)**(2/21)/(h*h**(2/9)*h/(h*h/h**(4/5)*h)) assuming h is positive.
h**(-1/45)
Simplify (q**(-3)*q*q)**41 assuming q is positive.
q**(-41)
Simplify (a**(-30)*a)**(14/9) assuming a is positive.
a**(-406/9)
Simplify ((v/v**(-1))**32)**(-46) assuming v is positive.
v**(-2944)
Simplify a**4/((a/a**(1/8))/a)*(a*a**(-4)/a)/a*a**(-2/7) assuming a is positive.
a**(-65/56)
Simplify ((d/(d**(3/13)*d))/d)/(d*d**(-16)*d) assuming d is positive.
d**(166/13)
Simplify ((((q**(-5)/q)/q)/q)/(q*q/((q/q**(-2/5))/q)))/(q**(1/4)/q)**(1/24) assuming q is positive.
q**(-1531/160)
Simplify (s*(s**23/s*s)/s)/s**26 assuming s is positive.
s**(-3)
Simplify (c**(-2/3))**(1/2) assuming c is positive.
c**(-1/3)
Simplify (q**(6/7))**(-33/4) assuming q is positive.
q**(-99/14)
Simplify (j/j**( | {
"pile_set_name": "DM Mathematics"
} |
ose 5*u - 10 = -4*i, -4*u - 2 + 10 = 3*i. Suppose -24*f + 23*f = -2. Let b(x) = -2 + i + 8*x - 4 - x**f. Give b(6).
6
Let d(h) = -h**2 + 7*h - 6. Let q be 2/(-3)*(21 + -1 + -2). Let b be (q - -10)*-1*3*1. Determine d(b).
0
Let j(b) = b**3 - 5*b**2 - 4*b - 6. Suppose -3*g - 7 - 26 = 0. Let c = 14 + g. Suppose -m - 2*m + c*d = -30, -m - 2*d - 2 = 0. What is j(m)?
6
Let s(i) = -1 + 9751*i - 8*i**2 - 9745*i + 5 + i**3. Determine s(7).
-3
Let p = 644 - 643. Let t(j) = -16*j**3 + 2*j**2 - j. Give t(p).
-15
Let q(y) = 2 - y - y - y. Suppose -124 = 7*i + 44. Let w be 2/(-1) - -10 - i/(-8). Give q(w).
-13
Let n(c) = c - 2. Suppose p + 2 = -s, -s - 4 = -3*p + 6. Let t be n(p). Let m(i) = -i**2 + i - 8. Determine m(t).
-8
Suppose 0 = 5*g - w + 72, g + 0*g + 30 = -5*w. Let v(b) = -b + 1. Calculate v(g).
16
Let c(y) = 114*y - 111. Let q be c(1). Let s(v) be the first derivative of 0*v**2 - 1/3*v**q + v - 4. What is s(-2)?
-3
Let m(z) = 4*z**2 - 5. Let j(l) = -5*l**2 + 6. Let f(r) = -5*j(r) - 6*m(r). Suppose -2*v + u - 4 = 0, -3*u = -8*u. Let s be ((-6)/2)/(v/2). Determine f(s).
9
Let o be -5*(-7)/15*3. Let m(q) = -q + 1. Calculate m(o).
-6
Let b = 596 + -593. Let n(f) = f**2 - 5*f. Let a(u) = u**2 - 5*u. Suppose -w - 1 = -4. Let p(s) = w*n(s) - 4*a(s). Calculate p(b).
6
Let k be -2 - (-2 + 6 - 1). Let i(p) be the second derivative of 5/12*p**4 + 2*p**2 + 1/6*p**3 + 1/20*p**5 + 0 + 2*p. What is i(k)?
-1
Let w(a) = a**3 - 4*a**2 - 5*a - 2. Let z = -9 - -14. Let b be w(z). Let n be (b/6)/(1/(-15)). Let i(r) = -r**3 + 5*r**2 + 5. Give i(n).
5
Let j(h) = -5*h - 3. Let q = 29 - 26. Determine j(q).
-18
Let c(u) be the first derivative of -u**5/60 + 7*u**4/24 + u**3/3 + 2*u**2 + 7. Let s(z) be the second derivative of c(z). Give s(5).
12
Let o(b) = -5*b**3 - 15*b**2 + b + 3. Let t = 46 + -42. Let a(v) = -3*v**3 - 8*v**2 + 2. Let l(c) = t*o(c) - 7*a(c). Give l(2).
-2
Let n = 78 + -79. Let o(p) = -2*p - 3. Let c be o(n). Let m(h) = -13*h**3. Determine m(c).
13
Let f(p) = p**2 + 7*p + 12. Let u be f(-6). Let m(z) = -3 - z**2 + z + 5*z + 3*z. Calculate m(u).
15
Let y(n) = n**3 - 4*n**2 + n - 3. Suppose 239*j = 237*j + 6. Give y(j).
-9
Let j(p) = p**2 + 6*p - 6. Let v = 9 - 1. Let i = v - 15. Determine j(i).
1
Let d(q) = -q**2 - 17*q - 19. Let m(w) = w**2 + 19*w + 20. Let t(i) = 4*d(i) + 3*m(i). What is t(-9)?
2
Let x(p) = -p**2 - 4*p + 2. Let n = 11 + -6. Suppose n*a - 32 = a. Let d be 1 - ((-4)/4 + a). Calculate x(d).
-10
Let n(r) = r**2 + 5*r - 5. Let u = -96 + 106. Suppose 3*x + u + 8 = 0. Calculate n(x).
1
Let i(c) be the third derivative of -c**6/40 - c**5/60 - c**4/24 - 418*c**2. Let t(q) = -q**2 + 6*q + 1. Let a be t(6). Let u = -2 + a. Determine i(u).
3
Let d(o) = -o**2 + 7*o - 5. Suppose -4*y + 68 = -2*y. Let s = y - 28. Suppose 5*i = 4*i + s. Give d(i).
1
Let h be ((-50)/20)/(1/(-2)). Let d(f) = 2*f + 2. Calculate d(h).
12
Let w(k) = k**2 - 1. Let x be 2/9 - (-644)/(-63). Let g be x/(-4)*28/35. Suppose 3*b - 5 = -g*b. Calculate w(b).
0
Suppose 9 + 7 = 4*w. Suppose k = -w*k + 15. Suppose 4*h + 0*h - 15 = -x, 2*h = -5*x + k. Let c(r) = -3*r + 1. Give c(x).
4
Let w(i) = 2*i. Let r(z) = -5 + z + 2 + 2 + 2. Let l(t) = -3*r(t) + 2*w(t). Let v(p) = -1. Let m(f) = l(f) - 4*v(f). Calculate m(3).
4
Let m(g) = -19*g**3 + 2*g**2 - 10*g + 1. Let t(k) = 3*k**3 + k**2 - 1. Let a(z) = m(z) + 6*t(z). What is a(5)?
20
Let u(z) = -7 + 3 - 2 + 1 - 2*z. Suppose -4*t - 16 = 2*g, -5*g - t + 2*t = -15. Suppose 0 = -k - 2 - g. What is u(k)?
3
Let j(i) = 2*i + 3. Let g(w) = -w - 1. Let c(d) = 15*g(d) + 6*j(d). Let s(f) = f + 1. Let k(q) = c(q) + 4*s(q). What is k(-9)?
-2
Let c(n) = 3*n - 20. Let p(l) = l - 7. Let s(i) = -6*c(i) + 17*p(i). Let t be 24/(-60) + 0 + 6/15. Determine s(t).
1
Let i(r) = -3*r - 5. Suppose -117 = -5*c + 4*q, -3*q = 5*c - 4*q - 108. Let l be (-4)/6 - (-35)/c. Let a = l - 5. Give i(a).
7
Let v(i) = i**3 - i**2 - 1. Let c(g) = 4*g**3 - 5*g**2 - g. Let q(f) = c(f) - 2*v(f). Let z be 36/14*(-32)/24*7. Let d = z + 26. What is q(d)?
4
Let p be 8/(-28) + 38/(-14). Let s(h) = -10 + 7 + 7 - 3*h - 5. What is s(p)?
8
Let i(n) = -19 - 11 + 43 + 11*n - 16. Give i(-4).
-47
Let y = -8/133 + 979/798. Let a(q) be the third derivative of -q**2 + 1/24*q**4 + 0*q + 0 + y*q**3. Calculate a(0).
7
Let a(d) = -75 + 2*d**2 + 12*d**3 + 74 - 13*d**3. Suppose 4*r - 2*r = -8, -28 = -4*m + 2*r. Let n = -2 + m. Determine a(n).
-10
Let d(c) = -4*c - 31. Let p(f) = -4*f - 25. Let q(r) = 3*d(r) - 4*p(r). What is q(-5)?
-13
Suppose 0 = d + 36 - 2. Let r = -40 - d. Let x(f) = -4*f + 1. Let h(q) = q - 1. Let j(k) = -3*h(k) - x(k). What is j(r)?
-4
Let k(f) = -9*f - 7. Let q = 2072 + -2077. Determine k(q).
38
Let v(z) = -11*z**2 - 10*z + 4. Let n(l) = 5*l**2 + 5*l - 2. Let b(t) = -13*n(t) - 6*v(t). Suppose -5 = -p + 10. Let f = -10 + p. Determine b(f).
2
Let k(g) = g. Let f = 667 + -671. Give k(f).
-4
Let x(m) = m**2 - 3*m - 23. Let a = 1115 - 1108. Calculate x(a).
5
Let n = -618 - -629. Let b(y) = -y + 7. What is b(n)?
-4
Let w(m) = 2 - 5*m**3 + 7*m**3 + m - 12*m**2 + 14 - 3*m**3. Give w(-12).
4
Suppose -6*w - 36 = -48. Let r(x) = -w*x**3 - x**2 - 23*x + 1 + 23*x + 3*x**2. Let s be (-4)/(-3)*6/4. Calculate r(s).
-7
Let o(k) = -k**2 + 3*k - 2. Let i be (-104)/(-10) - ((-36)/15)/(-6). Let s be 1/5 - (-28)/i - 0. Give o(s).
-2
Let w be 156/30 - 5 - 95/(-25). Let v(c) = -c**2 + 5*c + 3. What is v(w)?
7
Let p be (-9 + (13 - 8))/(0 + -2). Let o(z) be the first derivative of z + 5 + 3/2*z**p. What is o(-4)?
-11
Let i(o) be the second derivative of o**4/4 + 11*o**3/6 - 3*o**2/2 + 2*o + 111. What is i(-4)?
1
Suppose 3*i = -2*a + 13, -2*a = a + 3*i - 24. Suppose 26*k = 12*k + 28. Let g(r) = -r**k - a*r**3 + 0*r + 2*r - 3 + 2 + 0*r. Calculate g(1).
-11
Let d(c) be the first derivative of 1/6*c**3 - 13 + 3*c**2 - 1/30*c**5 + 0*c - 1/12*c**4. Let q(k) be the second derivative of d(k). What is q(1)?
-3
Suppose 0 = -l - 6 + 6. Let a be (-1 - (-3 - (-24)/3)) + l. Let n(j) = -4*j - 7. What is n(a)?
17
Let i(m) = -m - 2. Let d(a) = 2*a + 22. Let g be d(-7). Let j(b) = 2*b + 9*b - g*b + 4 + 2*b. Let f be j(-2). Determine i(f).
4
Suppose z = -3, -9*z = -l - 13*z - 7. Let d(j) be the third derivative of -j**6/120 + j**5/10 - 7*j**4/24 + 7*j**3/6 - j**2. Determine d(l).
-3
Let u(z) = -2*z + 11. Let t = -40 + 32. Let w be (6/(-4))/(t/(-384)*-9). Calculate u(w).
-5
Let y = 2 + -1. Let k(g) = -3 - y + 6 + g. Let l(p) = 2*p**2 - 7*p + 6. Let n be l(2). Give k(n).
2
Let v = 91 + -88. Let g(c) be the second derivative of 0 - c - 1/2*c**2 - 1/3*c**v. Determine g(-2).
3
Let n(l) = -l**2 - 5*l - 2. Let m(h) = 4*h**2 + 6*h**2 - 8*h**2. Let a be m(1). Suppose a*o - 4*s - 6 = 0, -4*o - 23 = s - 8. Determine n(o).
4
Let w(p) = -2*p**3 - 15*p**2 - 28*p + 4. Let v be w(-4). Let x(b) = -3*b + 13. Calculate x(v).
1
Let l(h) = -2*h**2 - 2*h. Suppose 0 = 20*n + 43 + 17. Calculate l(n).
-12
Let l(p) be the second derivative of p**4/3 - p**3/6 + 107*p. Let r be (-5)/4 - (-5)/20. Calculate l(r).
5
Let h(f) = -7*f + 20. Suppose -5*l - 2*r = -2*l - 5, -2*l - 2*r = -2. Let o be h(l). Let u(t) = -4*t**3 + 2*t + 1. Calculate u(o).
3
Let t(c) = 2*c - 8. Suppose 445 = 13*w + 354. What is t(w)?
6
Let h(a) = -a**3 - a + 7. Let v be 0 + 2 + -3 + -1. Let n be 3 + 12/(v - 2). Calculate h(n).
7
Let a(j) = -3*j**2 + 4*j**3 - 29 - 3*j**3 + 10 + 12. Give a(4).
9
Let x be 1 - (-2)/(2/7). Suppose 5*l = x*l - 9. Let t(v) = v**2 - 4*v. Calculate t(l).
-3
Suppose 79 = -6*u + 103. Let z(t) = -t**2 + 3*t + 1. Determine z(u).
-3
Let p(v) be the second derivative of v**4/12 - 5*v**3/3 - 7*v**2/2 - 161*v. What is p(9)?
-16
Let j = -2001 - -1999. Let l(y) = 2*y**3 + 2*y**2 - 2. What is l(j)?
-10
Let p(y) = -4*y + 1. Let d(h) = 14*h + 1. Let n(o) = -d(o) - 3*p(o). Give n(0).
-4
Let i(l) = 108*l**2 - l**3 - 2*l + 2*l - 112*l**2 + 3. Calculate i(-3).
-6
Let m(a) = 1 + 14*a**2 + 3 - 3*a**3 - 9 + 2*a**3 - 11*a - 6*a**2. Calculate m(6).
1
Let k = 53 - 37. Let o(r) = k*r - 18*r + 2 - 7. Calculate o(5).
-15
Let y(p) = p + 3. Let q(u) = u + 3. Suppose n - 4 = -0. Let t(l) = n*y(l) - 6*q(l). Calculate t(-7).
8
Let v(r) = -124*r - 98. Let l(i) = 23*i + 20. Let c(o) = -16*l(o) - 3*v(o). Give c(10).
14
Let f = 143 - 140. Let u(v) = -v**3 - v**2 - 3*v - 2. Determine u(f).
-4 | {
"pile_set_name": "DM Mathematics"
} |
20 minutes after 12:04 PM?
12:24 PM
What is 543 minutes before 3:23 PM?
6:20 AM
How many minutes are there between 11:29 PM and 4:51 AM?
322
What is 670 minutes after 2:43 PM?
1:53 AM
How many minutes are there between 3:41 PM and 4:25 PM?
44
What is 391 minutes before 10:54 AM?
4:23 AM
What is 677 minutes after 10:57 PM?
10:14 AM
How many minutes are there between 8:51 PM and 5:36 AM?
525
What is 525 minutes before 5:20 PM?
8:35 AM
How many minutes are there between 3:04 PM and 5:50 PM?
166
What is 490 minutes after 5:34 PM?
1:44 AM
What is 576 minutes after 8:02 PM?
5:38 AM
How many minutes are there between 3:42 AM and 9:35 AM?
353
How many minutes are there between 8:20 PM and 5:48 AM?
568
What is 96 minutes before 2:50 AM?
1:14 AM
How many minutes are there between 6:55 PM and 3:08 AM?
493
What is 677 minutes before 8:15 AM?
8:58 PM
How many minutes are there between 9:39 PM and 7:31 AM?
592
How many minutes are there between 12:05 AM and 9:29 AM?
564
What is 274 minutes after 3:25 PM?
7:59 PM
What is 588 minutes before 3:05 PM?
5:17 AM
What is 538 minutes after 12:07 AM?
9:05 AM
How many minutes are there between 4:01 AM and 7:05 AM?
184
How many minutes are there between 2:19 AM and 7:34 AM?
315
What is 91 minutes before 7:19 PM?
5:48 PM
What is 699 minutes before 10:17 PM?
10:38 AM
How many minutes are there between 1:50 PM and 10:13 PM?
503
What is 581 minutes after 8:03 AM?
5:44 PM
What is 627 minutes after 10:30 AM?
8:57 PM
How many minutes are there between 6:10 AM and 12:35 PM?
385
How many minutes are there between 6:38 AM and 2:28 PM?
470
What is 324 minutes after 6:46 PM?
12:10 AM
How many minutes are there between 5:26 AM and 1:36 PM?
490
How many minutes are there between 4:50 AM and 3:01 PM?
611
What is 244 minutes after 1:06 PM?
5:10 PM
What is 158 minutes before 5:12 AM?
2:34 AM
How many minutes are there between 6:04 AM and 7:45 AM?
101
What is 25 minutes before 10:08 PM?
9:43 PM
How many minutes are there between 9:06 PM and 6:57 AM?
591
What is 121 minutes after 2:49 PM?
4:50 PM
What is 264 minutes before 10:52 AM?
6:28 AM
How many minutes are there between 2:04 AM and 1:44 PM?
700
How many minutes are there between 5:38 AM and 1:40 PM?
482
What is 430 minutes after 4:02 AM?
11:12 AM
What is 572 minutes before 12:35 PM?
3:03 AM
What is 560 minutes before 12:26 AM?
3:06 PM
What is 165 minutes before 12:22 PM?
9:37 AM
How many minutes are there between 12:58 AM and 8:41 AM?
463
How many minutes are there between 4:08 AM and 9:01 AM?
293
How many minutes are there between 10:37 PM and 6:48 AM?
491
What is 155 minutes after 8:29 AM?
11:04 AM
How many minutes are there between 9:52 PM and 5:02 AM?
430
What is 173 minutes after 4:17 AM?
7:10 AM
What is 77 minutes before 11:58 PM?
10:41 PM
What is 238 minutes before 6:10 AM?
2:12 AM
What is 127 minutes after 5:13 PM?
7:20 PM
How many minutes are there between 4:21 PM and 3:53 AM?
692
How many minutes are there between 8:39 AM and 11:40 AM?
181
What is 291 minutes before 7:34 PM?
2:43 PM
What is 195 minutes before 12:40 PM?
9:25 AM
How many minutes are there between 6:27 AM and 8:52 AM?
145
How many minutes are there between 12:35 PM and 2:51 PM?
136
What is 142 minutes before 5:54 AM?
3:32 AM
What is 286 minutes after 12:51 PM?
5:37 PM
How many minutes are there between 8:10 PM and 7:35 AM?
685
What is 644 minutes before 2:45 PM?
4:01 AM
How many minutes are there between 6:32 AM and 5:48 PM?
676
What is 628 minutes before 7:40 PM?
9:12 AM
What is 27 minutes after 10:54 PM?
11:21 PM
What is 402 minutes after 12:22 PM?
7:04 PM
What is 252 minutes before 8:39 AM?
4:27 AM
How many minutes are there between 3:20 AM and 11:25 AM?
485
What is 547 minutes before 10:55 PM?
1:48 PM
What is 98 minutes after 5:51 AM?
7:29 AM
What is 33 minutes before 12:11 PM?
11:38 AM
What is 503 minutes after 9:55 PM?
6:18 AM
What is 331 minutes before 2:10 PM?
8:39 AM
How many minutes are there between 5:50 PM and 4:13 AM?
623
What is 502 minutes after 2:18 AM?
10:40 AM
How many minutes are there between 11:01 AM and 6:40 PM?
459
What is 304 minutes after 1:15 PM?
6:19 PM
What is 328 minutes after 4:32 PM?
10:00 PM
What is 596 minutes before 1:28 PM?
3:32 AM
How many minutes are there between 1:08 AM and 3:30 AM?
142
How many minutes are there between 12:46 PM and 6:45 PM?
359
What is 677 minutes after 2:46 PM?
2:03 AM
How many minutes are there between 11:21 PM and 12:14 AM?
53
What is 186 minutes before 4:46 AM?
1:40 AM
How many minutes are there between 6:43 PM and 12:08 AM?
325
How many minutes are there between 10:23 PM and 1:54 AM?
211
What is 680 minutes after 4:37 AM?
3:57 PM
What is 623 minutes after 11:44 PM?
10:07 AM
What is 159 minutes after 5:04 AM?
7:43 AM
What is 573 minutes before 5:42 AM?
8:09 PM
What is 52 minutes after 9:26 PM?
10:18 PM
What is 597 minutes before 3:00 PM?
5:03 AM
What is 132 minutes before 10:36 AM?
8:24 AM
How many minutes are there between 11:51 AM and 10:25 PM?
634
How many minutes are there between 4:13 AM and 4:38 AM?
25
How many minutes are there between 12:32 AM and 8:10 AM?
458
What is 90 minutes after 5:40 PM?
7:10 PM
How many minutes are there between 5:29 AM and 11:41 AM?
372
What is 560 minutes before 1:18 AM?
3:58 PM
How many minutes are there between 9:08 AM and 11:44 AM?
156
What is 289 minutes after 12:42 AM?
5:31 AM
How many minutes are there between 8:00 AM and 6:17 PM?
617
What is 507 minutes before 4:18 AM?
7:51 PM
How many minutes are there between 7:10 AM and 11:30 AM?
260
How many minutes are there between 4:53 PM and 10:17 PM?
324
What is 387 minutes after 4:05 AM?
10:32 AM
How many minutes are there between 9:46 AM and 7:18 PM?
572
What is 44 minutes before 10:02 PM?
9:18 PM
How many minutes are there between 2:00 AM and 8:25 AM?
385
How many minutes are there between 8:33 AM and 7:25 PM?
652
What is 56 minutes after 4:20 PM?
5:16 PM
What is 322 minutes before 9:50 PM?
4:28 PM
How many minutes are there between 9:10 PM and 4:18 AM?
428
What is 624 minutes after 12:39 PM?
11:03 PM
How many minutes are there between 11:24 AM and 9:10 PM?
586
What is 25 minutes after 7:34 AM?
7:59 AM
How many minutes are there between 9:18 PM and 2:28 AM?
310
How many minutes are there between 8:22 AM and 4:23 PM?
481
How many minutes are there between 1:57 AM and 7:14 AM?
317
What is 595 minutes after 3:12 AM?
1:07 PM
What is 4 minutes before 1:22 AM?
1:18 AM
What is 719 minutes before 1:48 AM?
1:49 PM
What is 291 minutes after 6:51 PM?
11:42 PM
What is 611 minutes before 1:18 PM?
3:07 AM
What is 616 minutes after 5:18 AM?
3:34 PM
What is 391 minutes after 6:52 PM?
1:23 AM
How many minutes are there between 3:05 PM and 8:25 PM?
320
How many minutes are there between 1:47 AM and 5:50 AM?
243
What is 296 minutes after 6:59 AM?
11:55 AM
How many minutes are there between 3:14 PM and 4:21 PM?
67
What is 374 minutes after 9:20 PM?
3:34 AM
How many minutes are there between 10:16 AM and 9:44 PM?
688
What is 186 minutes after 4:13 PM?
7:19 PM
How many minutes are there between 1:00 AM and 9:59 AM?
539
How many minutes are there between 6:47 PM and 10:24 PM?
217
How many minutes are there between 3:03 AM and 8:47 AM?
344
How many minutes are there between 9:46 PM and 5:05 AM?
439
How many minutes are there between 2:10 PM and 6:01 PM?
231
How many minutes are there between 10:24 AM and 8:29 PM?
605
How many minutes are there between 6:17 AM and 8:32 AM?
135
How many minutes are there between 9:26 AM and 1:24 PM?
238
How many minutes are there between 7:00 AM and 6:54 PM?
714
How many minutes are there between 5:46 PM and 6:26 PM?
40
How many minutes are there between 11:29 PM and 9:25 AM?
596
What is 556 minutes after 6:17 AM?
3:33 PM
How many minutes are there between 8:34 AM and 7:54 PM?
680
What is 421 minutes after 8:05 PM?
3:06 AM
What is 277 minutes after 8:38 PM?
1:15 AM
How many minutes are there between 1:22 PM and 11:31 PM?
609
What is 643 minutes before 9:14 PM?
10:31 AM
What is 186 minutes after 2:19 AM?
5:25 AM
What is 249 minutes after 7:29 PM?
11:38 PM
What is 391 minutes after 7:37 PM?
2:08 AM
How many minutes are there between 1:25 PM and 3:15 PM?
110
What is 359 minutes before 1:08 AM?
7:09 PM
How many minutes are there between 9:18 AM and 11:0 | {
"pile_set_name": "DM Mathematics"
} |
4. Let o(j) = -2*j - 13. Let c(n) = 7*k(n) - 2*o(n). Give 4*c(x) + 7*p(x).
-5*x - 1
Let x(u) be the second derivative of -u**5/20 - u**4/12 + 5*u**3/6 + 10*u. Let r(n) = n. Let p = -3 + 3. Suppose 0 = -3*k - p*k + 15. Determine k*r(y) - x(y).
y**3 + y**2
Let i(x) = 12*x + 5. Let m(k) = 35*k + 14. Let w = -75 + 92. Calculate w*i(j) - 6*m(j).
-6*j + 1
Let z(i) = -11*i. Let j(c) = -6*c. What is 5*j(t) - 3*z(t)?
3*t
Let f(l) = -2. Let r = 14 - 19. Let y(a) = a**2 - 4. Give r*f(v) + 2*y(v).
2*v**2 + 2
Let f(s) = s - 2. Let v(b) = -3*b + 5. Let w(t) = 5*f(t) + 2*v(t). Let c(r) = -7*r + 3. Let u(o) = c(o) - 6*w(o). Let m(n) = n. Calculate 2*m(l) + u(l).
l + 3
Let b be 0 - 0 - 6/3. Let v(s) = -5*s**2 + 8*s + 13. Let j(n) be the first derivative of -n**3/3 + n**2 + 3*n + 1. What is b*v(p) + 9*j(p)?
p**2 + 2*p + 1
Suppose 4*k + 0 = 4. Let f(d) = 2*d**2 + 4*d - 1. Let b(x) = -x**2 - x. Let n(h) = -3*b(h) - f(h). Let v(j) = -j**3 - j**2 + j - 2. Give k*n(p) + v(p).
-p**3 - 1
Suppose -4*p - 36 = -4*u, 47 = 5*u + 2*p - 5. Let y(r) = -2*r**3 - 5*r**2 - 3. Let x(s) = 6*s**3 + 16*s**2 + 10. What is u*y(k) + 3*x(k)?
-2*k**3 - 2*k**2
Let f(u) = 4*u - 4. Let w(h) = -6*h + 6. Let z(s) = 6*s - 6. Let j(l) = -3*w(l) - 4*z(l). Determine -8*f(m) - 5*j(m).
-2*m + 2
Let f(y) = -14*y - 7*y**3 + 37*y + 5 - 14*y - 12*y. Let n(a) be the second derivative of a**5/5 + a**3/3 - 3*a**2/2 - a. Give 3*f(j) + 5*n(j).
-j**3 + j
Let v(o) be the first derivative of 13*o**4/4 + 11*o**2/2 - 15. Let q(m) = 6*m**3 + 5*m. Give -9*q(j) + 4*v(j).
-2*j**3 - j
Let q(o) = -7*o**2 + 4*o - 5. Let c(g) = 13*g**2 - 9*g + 11. What is -3*c(j) - 7*q(j)?
10*j**2 - j + 2
Let w(z) = -28*z**2 - 4*z - 4. Let x(n) = n**2 - n - 1. Calculate w(d) - 4*x(d).
-32*d**2
Let i be 48/36*18/(-2). Let n(a) = 4*a**2 - 3*a. Let m(y) = y**2 - y. Give i*m(b) + 4*n(b).
4*b**2
Let w(a) = 19*a. Let d(o) = 4*o. Calculate -22*d(l) + 4*w(l).
-12*l
Let i(p) = 0*p - 15 + 15 - 3*p. Let v(a) = 4*a. Give -6*i(k) - 5*v(k).
-2*k
Let z(m) = -m + 4. Suppose 155 - 159 = 4*i. Let j(b) = b**3 + 2*b**2 + b. Let o be j(-2). Let n(f) = f - 1. Give i*z(t) + o*n(t).
-t - 2
Let u(w) = w**3 + w**2 + w. Let v(a) = -5*a**3 - 7*a**2 - 4*a + 2. What is -4*u(l) - v(l)?
l**3 + 3*l**2 - 2
Let b(y) = 21*y**3 + 12*y**2 - 12. Let u(s) = -s**3 + s**2 - 1. Determine -b(t) + 12*u(t).
-33*t**3
Let u(x) = -2*x**3 - 9*x. Let z(i) = -2*i - 9. Let l(n) = n + 4. Let q(p) = -9*l(p) - 4*z(p). Give 6*q(h) - u(h).
2*h**3 + 3*h
Let i = -8 + 14. Let s(a) = a - 2 + i*a - 11. Let w(v) = -12*v + 38. Let q(p) = 4*p - 13. Let r(z) = 17*q(z) + 6*w(z). Calculate -11*r(h) - 6*s(h).
2*h + 1
Let a(v) = 3*v. Let i(g) be the third derivative of g**4/8 - 53*g**2. Determine -6*a(u) + 7*i(u).
3*u
Let i(b) = -13*b**3 + 3*b - 3. Let z(g) = 14*g**3 - 2*g + 2. Determine -2*i(a) - 3*z(a).
-16*a**3
Suppose 2*b + 2*b = -20. Let a(z) = 7 - 3 - 5*z + 2*z**2 - 5*z**3 + 1 + 2*z**3. Let p(c) = -6*c - 4 + 10 - 3*c**3 + 2*c**2 - c**3. Determine b*p(d) + 6*a(d).
2*d**3 + 2*d**2
Let x(v) = -v**2 - 9*v - 6. Let j(t) = 1. What is -6*j(u) - x(u)?
u**2 + 9*u
Let l(q) = q**2 - 1. Let k(c) = -4*c**3 + 6*c**2 + 3*c - 3. Determine k(w) - 6*l(w).
-4*w**3 + 3*w + 3
Let o be (-3)/(-3) + -4 - 0. Let y be (-132)/(-55) - (-4)/(-10). Let i(g) = -g + 3. Let a(r) = 2. Give o*a(z) + y*i(z).
-2*z
Let l(a) = -a + 1. Let h be ((-3)/5)/((-2)/10). Suppose -h*d + 0*d = 3. Let y(r) = -1 - 2*r - r + 5*r - r. Determine d*y(q) - 2*l(q).
q - 1
Let k(s) = -27*s**3 + 12*s + 12. Let i(z) = -11*z**3 + 5*z + 5. Determine -12*i(x) + 5*k(x).
-3*x**3
Let l(g) = 22*g**2 + 16*g - 28. Let p(w) = -7*w**2 - 5*w + 9. Give 5*l(o) + 16*p(o).
-2*o**2 + 4
Suppose -1 = -2*s - 13. Let w(j) = -2*j - j + 98 - 93. Let p(a) = -5*a - 25. Let k(i) = i + 6. Let l(z) = 26*k(z) + 6*p(z). Calculate s*w(o) + 5*l(o).
-2*o
Let k(w) = 3*w + 4. Let a(d) = 3*d + 4. Let g(c) = -5*a(c) + 4*k(c). Suppose 40 = -5*s - 30. Let h(m) = m + 1. Give s*h(q) - 4*g(q).
-2*q + 2
Let g(j) = -2*j**3 + 11*j**2 - 11. Let c(r) = -r**3 + 4*r**2 - 4. Give -11*c(z) + 4*g(z).
3*z**3
Let p(i) be the first derivative of 10*i - 5 - 8*i**2 + 2 + 2. Suppose t + 25 = -0*t + 5*j, 3*t = -5*j - 15. Let k(h) = -5*h + 3. What is t*k(r) + 3*p(r)?
2*r
Let r(j) = 5*j**3 - 6*j**2 + 7*j - 6. Let y(m) = -10*m**3 + 9*m**3 + m - 1 - m**2 + 2*m**3. Let u = -2 + 3. Calculate u*r(x) - 6*y(x).
-x**3 + x
Let b(o) = -o + 27 + 32 + o**2 - 64. Let c(t) = -t**3 + 5*t**2 + 5*t - 7. Let s be c(6). Let g(l) = -3*l**2 + 0 - 2*l + 5*l**2 - 11. Determine s*b(m) + 6*g(m).
-m**2 + m - 1
Let i(v) be the third derivative of v**6/30 + v**5/20 + v**4/24 - v**3/2 - 16*v**2. Let a(p) = 3*p**3 + 2*p**2 - 2. Give 3*a(x) - 2*i(x).
x**3 - 2*x
Let l(h) be the third derivative of -1/24*h**4 + 0*h + 0 - 1/30*h**5 - 1/3*h**3 - 2*h**2. Let y(u) = 2 - 4 + 5*u**2 + 3*u + u**2 + 7. Give 8*l(m) + 3*y(m).
2*m**2 + m - 1
Let m(i) = 10*i**2 + 10*i + 4. Let w(a) = 7*a**2 + 7*a + 3. Suppose 3*x + 29 = -2*z, -5 + 25 = -5*z. Give x*w(c) + 5*m(c).
c**2 + c - 1
Suppose -4*h = -5*x - 33, 3*h - x = -0 + 11. Let g(b) = h*b + 4 - 3*b - 3. Let i(n) = 7*n + 1 + 0 - 7. Calculate -5*g(p) - i(p).
-2*p + 1
Let l be (-1 + 5)*1*2. Let c = -114 + 109. Let k(v) = -3*v**3 + 9*v + 4. Let b(q) = -5*q**3 + 14*q + 6. What is c*b(g) + l*k(g)?
g**3 + 2*g + 2
Let t(y) = 11*y + 13. Let n(v) = 5*v + 6. Determine -7*n(g) + 3*t(g).
-2*g - 3
Let u(k) = 4*k - 2 + 1 + 3. Let w(s) = -17*s - 8. Let g = -62 - -53. What is g*u(t) - 2*w(t)?
-2*t - 2
Let p(o) = 3*o**2. Let n be 10/3*6/4. Let b(q) be the first derivative of -4/3*q**3 + 0*q**2 + 0*q + 1. What is n*p(l) + 4*b(l)?
-l**2
Let c(s) = -s + 1. Let b(y) = -2*y**2 - y. Let d(r) be the first derivative of 4*r**3/3 + r**2 - r + 1. Let i(a) = 5*b(a) + 3*d(a). Determine -3*c(n) - i(n).
-2*n**2 + 2*n
Let u(c) = -11*c - 16*c**3 - 8*c**2 + 18*c**3 - 13*c**3 - 8. Let q(p) = -7*p**3 - 5*p**2 - 7*p - 5. What is 8*q(k) - 5*u(k)?
-k**3 - k
Let v(f) = -5*f - 5 + f - f - 7*f**3. Let x(s) be the first derivative of 0*s**3 - 3/2*s**2 + 2 - s**4 - 3*s. What is 3*v(g) - 5*x(g)?
-g**3
Let r = 6 + -8. Let w be -3 + 1*r + -2. Let i(h) = -2 + 2*h - h + 0. Let d(k) = -k + 3. What is w*i(u) - 5*d(u)?
-2*u - 1
Let z(x) = x**2 - x + 1. Let m(c) = 3*c**2 - 1. Give -m(h) - 3*z(h).
-6*h**2 + 3*h - 2
Suppose 0 = 47*g - 49*g - 30. Let u(i) = i**2 - 3*i - 3. Let d(a) = a + 1. Determine g*d(b) - 5*u(b).
-5*b**2
Let k(n) = 3*n. Let m(u) = -13*u - 7. Let j(b) = 9*b + 5. Let q(h) = 7*j(h) + 5*m(h). Determine -5*k(r) - 6*q(r).
-3*r
Let u(z) = -22*z**3 + 2*z**2 - z + 2. Let h(d) = -21*d**3 + 3*d**2 - d + 3. Give -2*h(j) + 3*u(j).
-24*j**3 - j
Let g(u) = 6*u**2 - 8*u. Let f(k) = -17*k**2 + 24*k. Determine 3*f(n) + 8*g(n).
-3*n**2 + 8*n
Let t(u) = -8*u**2 - 10. Let x(w) = -w**2 - 1. What is -t(q) + 5*x(q)?
3*q**2 + 5
Let d(n) = -n**3 - 12*n**2 + 12*n. Let a(m) = m**2 - m. Suppose 2 = 3*z - 4*z. Suppose 0 = t + 11 + 11. What is t*a(c) + z*d(c)?
2*c**3 + 2*c**2 - 2*c
Let i(z) = z + 1. Let u(w) = 2*w**2 - 3*w - 9. Let m(x) = 5*x**2 - 6*x - 20. Let d(q) = 4*m(q) - 9*u(q). What is d(j) - 3*i(j)?
2*j**2 - 2
Let w(g) be the first derivative of -g**2 + 3*g + 2. Suppose 1 = i - 3. Let t(u) = 0*u - 5 + 4 - 4 + i*u. Give -3*t(p) - 5*w(p).
-2*p
Let r(x) = 5*x - 2*x + 0*x - 4*x + 1. Let u(f) = f + 2. What is -3*r(j) + u(j)?
4*j - 1
Let q(o) = -o**3 + 3*o**2 + 3*o. Let v(f) = 3 + 4*f**3 - 7*f**2 - 6*f**3 - f**3 + 2*f**3. Let d be v(-7). Let y(t) = t**2 + t. Calculate d*y(u) - q(u).
u**3
Let k(n) = -n**2 + 10*n + 18. Let j be k(12). Let r(m) = 3*m**2 + 8*m + 5. Let d(q) = -6*q**2 - 17*q - 11. Give j*d(l) - 13*r(l).
-3*l**2 - 2*l + 1
Let d(b) = 7*b - 6. Let t(l) = -2 + 7 + 17 - 5 - 20*l. Determine 17*d(s) + 6*t(s).
-s
Let d(z) = z + 2. Let a(y) = 11 - 2*y**2 - 10*y - y - 6*y**2 + 24*y**2. Let n(b) = -3*b**2 + 2*b - 2. Let c(p) = -2*a(p) - 11*n(p). Calculate -2*c(f) - d(f).
-2*f**2 - f - 2
Let q(l) = -l + 1. Let d(n) = 4*n - 7. Let m(z) = -1. Suppose 7 + 5 = -4*b. Let h(y) = b*m(y) + d(y). Calculate 2*h(s) + 7*q(s).
s - 1
Let y(v) = v**2 + v - 1. Let p = -41 - -37. Let q(r) = 5*r**2 + 4*r - 4. Determine p*y(j) + q(j).
j**2
Let d(h) = 5*h + 9. Let g(b) = -6*b - 10. Give -7*d(y) - 6*g(y).
y - 3
Let l(g) = 6*g**3 + 6*g**2 + 14*g. Let v(t) = -2*t**3 - 2*t**2 - 5*t. Calculate 6*l(z) | {
"pile_set_name": "DM Mathematics"
} |
109?
y**2 - 92361*y + 21
What is the g'th term of 408268, 816538, 1224808, 1633078, 2041348?
408270*g - 2
What is the z'th term of 2049, 3321, 4593?
1272*z + 777
What is the y'th term of 141, 495, 849, 1203, 1557?
354*y - 213
What is the q'th term of -2245, -4488, -6717, -8926, -11109, -13260?
q**3 + q**2 - 2253*q + 6
What is the o'th term of -166, -357, -548, -739, -930?
-191*o + 25
What is the n'th term of -7200, -7205, -7210, -7215?
-5*n - 7195
What is the y'th term of 88, 86, 80, 70, 56, 38, 16?
-2*y**2 + 4*y + 86
What is the b'th term of -1207, -1138, -1069?
69*b - 1276
What is the g'th term of 7104, 7071, 7038, 7005, 6972, 6939?
-33*g + 7137
What is the c'th term of -21, -6, 17, 48?
4*c**2 + 3*c - 28
What is the j'th term of -381, -844, -1615, -2694, -4081, -5776, -7779?
-154*j**2 - j - 226
What is the t'th term of -675, -1260, -1847, -2436, -3027, -3620, -4215?
-t**2 - 582*t - 92
What is the k'th term of 2727, 6381, 10961, 16467?
463*k**2 + 2265*k - 1
What is the h'th term of 159, 263, 253, 75, -325, -1001, -2007?
-9*h**3 - 3*h**2 + 176*h - 5
What is the t'th term of 934, 2946, 8412, 19060, 36618, 62814, 99376, 148032?
288*t**3 - t**2 - t + 648
What is the b'th term of 16268, 16263, 16258, 16253, 16248, 16243?
-5*b + 16273
What is the w'th term of 4883, 18958, 42417, 75260, 117487, 169098, 230093?
4692*w**2 - w + 192
What is the x'th term of 919, 933, 957, 991, 1035, 1089, 1153?
5*x**2 - x + 915
What is the q'th term of 562886, 1125771, 1688656, 2251541?
562885*q + 1
What is the g'th term of -690, -761, -876, -1035, -1238, -1485, -1776?
-22*g**2 - 5*g - 663
What is the x'th term of -618, -503, -388, -273, -158, -43?
115*x - 733
What is the q'th term of 1842, 1862, 1894, 1938, 1994?
6*q**2 + 2*q + 1834
What is the j'th term of 233, 786, 1703, 2978, 4605, 6578, 8891?
-j**3 + 188*j**2 - 4*j + 50
What is the z'th term of -4778, -19065, -42886, -76253, -119178, -171673?
-2*z**3 - 4755*z**2 - 8*z - 13
What is the d'th term of -376, -358, -340?
18*d - 394
What is the o'th term of -1519, -3009, -4495, -5971, -7431, -8869, -10279?
o**3 - 4*o**2 - 1485*o - 31
What is the a'th term of 3340253, 6680506, 10020759, 13361012, 16701265?
3340253*a
What is the d'th term of -186, -735, -1646, -2919, -4554, -6551?
-181*d**2 - 6*d + 1
What is the l'th term of 14856, 14647, 14438?
-209*l + 15065
What is the n'th term of 21808, 21807, 21804, 21799, 21792, 21783?
-n**2 + 2*n + 21807
What is the i'th term of -1587, -1311, -1049, -801?
-7*i**2 + 297*i - 1877
What is the k'th term of 214, 532, 942, 1438, 2014, 2664?
-k**3 + 52*k**2 + 169*k - 6
What is the p'th term of 43638, 43641, 43644, 43647, 43650, 43653?
3*p + 43635
What is the i'th term of -91, -71, -23, 59, 181, 349, 569?
i**3 + 8*i**2 - 11*i - 89
What is the o'th term of 2535, 5086, 7637, 10188, 12739, 15290?
2551*o - 16
What is the v'th term of -269684, -269687, -269690?
-3*v - 269681
What is the g'th term of -24656, -24652, -24648?
4*g - 24660
What is the c'th term of 262713, 262712, 262711, 262710, 262709?
-c + 262714
What is the w'th term of -15, -100, -311, -714, -1375, -2360, -3735, -5566?
-11*w**3 + 3*w**2 - 17*w + 10
What is the r'th term of 255, 454, 577, 624, 595, 490?
-38*r**2 + 313*r - 20
What is the i'th term of -25515, -25515, -25513, -25509, -25503, -25495?
i**2 - 3*i - 25513
What is the l'th term of 3315, 3345, 3433, 3609, 3903, 4345, 4965?
5*l**3 - l**2 - 2*l + 3313
What is the c'th term of 847, 3356, 7539, 13402, 20951, 30192, 41131, 53774?
c**3 + 831*c**2 + 9*c + 6
What is the m'th term of -241, -1096, -2561, -4630, -7297, -10556, -14401?
m**3 - 311*m**2 + 71*m - 2
What is the f'th term of -3106, -6209, -9310, -12409?
f**2 - 3106*f - 1
What is the q'th term of -95, -138, -89, 112, 525, 1210, 2227, 3636?
10*q**3 - 14*q**2 - 71*q - 20
What is the p'th term of 1747936, 1747937, 1747938, 1747939?
p + 1747935
What is the s'th term of -1830, -1864, -1896, -1926, -1954, -1980?
s**2 - 37*s - 1794
What is the x'th term of 1685, 3364, 5043, 6722, 8401, 10080?
1679*x + 6
What is the s'th term of 31675, 63361, 95047?
31686*s - 11
What is the g'th term of -1409766, -1409765, -1409764?
g - 1409767
What is the q'th term of -383, -612, -841?
-229*q - 154
What is the m'th term of -1188, -4720, -10598, -18822, -29392, -42308?
-1173*m**2 - 13*m - 2
What is the c'th term of 131025, 131001, 130977, 130953?
-24*c + 131049
What is the p'th term of -12469, -25044, -37631, -50236, -62865, -75524?
-p**3 - 12568*p + 100
What is the d'th term of -2094, -4575, -7424, -10635, -14202, -18119?
d**3 - 190*d**2 - 1918*d + 13
What is the a'th term of -3372, -3235, -3098, -2961, -2824, -2687?
137*a - 3509
What is the i'th term of -852, -1091, -1330?
-239*i - 613
What is the o'th term of -11, -702, -2579, -6236, -12267, -21266?
-99*o**3 + o**2 - o + 88
What is the b'th term of 2432228, 4864461, 7296696, 9728933, 12161172, 14593413, 17025656?
b**2 + 2432230*b - 3
What is the r'th term of 247, 2063, 6981, 16549, 32315?
258*r**3 + 3*r**2 + r - 15
What is the o'th term of -593443, -593444, -593445?
-o - 593442
What is the c'th term of -76, -301, -682, -1219, -1912, -2761?
-78*c**2 + 9*c - 7
What is the o'th term of -985, -1181, -1679, -2629, -4181, -6485, -9691?
-25*o**3 - o**2 - 18*o - 941
What is the d'th term of -933079, -933080, -933081, -933082, -933083, -933084?
-d - 933078
What is the i'th term of 1451, 1472, 1493, 1514, 1535, 1556?
21*i + 1430
What is the b'th term of 422, 851, 1278, 1703?
-b**2 + 432*b - 9
What is the y'th term of 463, -386, -1235, -2084, -2933, -3782?
-849*y + 1312
What is the i'th term of -3532228, -3532231, -3532234?
-3*i - 3532225
What is the n'th term of -233, -1671, -5545, -13073, -25473, -43963, -69761?
-203*n**3 - 17*n - 13
What is the i'th term of -817, -3220, -7223, -12820, -20005, -28772, -39115, -51028?
i**3 - 806*i**2 + 8*i - 20
What is the f'th term of -362, -592, -1198, -2366, -4282?
-31*f**3 - 2*f**2 - 7*f - 322
What is the k'th term of 152784, 305558, 458330, 611100?
-k**2 + 152777*k + 8
What is the w'th term of -160, 3, 440, 1289, 2688, 4775, 7688, 11565?
23*w**3 - w**2 + 5*w - 187
What is the v'th term of -786329, -786331, -786333?
-2*v - 786327
What is the x'th term of -510, -986, -1464, -1944?
-x**2 - 473*x - 36
What is the d'th term of -20042, -20039, -20036?
3*d - 20045
What is the y'th term of 486, 425, 378, 351, 350?
y**3 + y**2 - 71*y + 555
What is the b'th term of -36, -10, 34, 96?
9*b**2 - b - 44
What is the b'th term of 521, 1035, 1547, 2057, 2565, 3071?
-b**2 + 517*b + 5
What is the r'th term of -95871, -191752, -287635, -383520?
-r**2 - 95878*r + 8
What is the n'th term of -400053, -400048, -400043, -400038, -400033, -400028?
5*n - 400058
What is the f'th term of -5081645, -5081649, -5081655, -5081663, -5081673?
-f**2 - f - 5081643
What is the l'th term of 3113, 3245, 3593, 4265, 5369, 7013, 9305?
18*l**3 + 6*l + 3089
What is the g'th term of -116, -306, -812, -1790, -3396?
-26*g**3 - 2*g**2 - 2*g - 86
What is the v'th term of 376, 249, 40, -251, -624, -1079, -1616?
-41*v**2 - 4*v + 421
What is the t'th term of -2706, -2718, -2754, -2826, -2946, -3126, -3378?
-2*t**3 + 2*t - 2706
What is the p'th term of 3042, 4173, 5308, 6453, 7614, 8797, 10008, 11253?
p**3 - 4*p**2 + 1136*p + 1909
What is the i'th term of 279, 298, 327, 366, 415, 474?
5*i**2 + 4*i + 270
What is the y'th term of 16635, 33269, 49903?
16634*y + 1
What is the v'th term of -109, -214, -299, -358, -385, -374, -319?
v**3 + 4*v**2 - 124*v + 10
What is the y'th term of -6291, -12526, -18627, -24528, -30163, -35466?
11*y**3 + y**2 - 6315*y + 12
What is the n'th term of -86, -378, -656, -914, -1146, -1346?
n**3 + n**2 - 302*n + 214
What is the a'th term of -878, -1753, -2648, -3569, -4522?
-a**3 - 4*a**2 - 856*a - 17
What is the n'th term of 4052, 4047, 4042?
-5*n + 4057
What is the s'th term of -5308, -10312, -15336, -20386, -25468, -30588, -35752?
-s**3 - 4*s**2 - 4985*s - 318
What is the s'th term of 410, 1634, 3672, 6524, 10190, 14670?
407*s**2 + 3*s
What is the x'th term of -180, -209, -256, -321, -404?
-9*x**2 - 2*x - 169
What is the r'th term of -751, 921, 2593, 4265, 5937?
1672*r - 2423
What is the t'th term of -1081, -2186, -3291, -4396, -5501?
-1105*t + 24
What is the a'th term of 1461, 11726, 3958 | {
"pile_set_name": "DM Mathematics"
} |
o rounded to the nearest ten thousand?
-340000
Let w = -0.07032 + 79.17032. What is w rounded to the nearest 10?
80
Let d = 0.6056 - 0.6056002321. Round d to 7 decimal places.
-0.0000002
Let n be (-4 - 627599286/(-24)) + 2/(-8). Suppose 20*u + 107949966 = n. What is u rounded to the nearest 1000000?
-4000000
Let z = -1.62281 + 0.18291. What is z rounded to one dp?
-1.4
Let p = 735.988 + -736. Let i = -981076.98799998 + 981077. Let j = p + i. What is j rounded to 7 dps?
0
Let k = -902333.647606 + -3887.340594. Let p = 906315 + k. Let g = p + -94. Round g to three decimal places.
0.012
Let h = 1661.292648 - 1661.3. Round h to three dps.
-0.007
Let x = -15014.8661 + 15015. Round x to one decimal place.
0.1
Let c(u) = 7*u - 74. Let k be c(11). Suppose g + 2*m - 4 = 0, k*g - 2*m + 6*m = 8. What is g rounded to the nearest 100?
0
Let s = 2576478.455000668 - 2576484.045. Let x = s + 5.59. What is x rounded to seven decimal places?
0.0000007
Let t be 108/(-116) - 26/377. Let c be ((-2)/(-4))/((-1)/(-6)). Let f be c + 2100004/(-1) - t. Round f to the nearest one million.
-2000000
Let g = 10238387 + 125979195.4. Let z = g - 136217472.3999902. Let b = z + -110. What is b rounded to 6 decimal places?
0.00001
Let w = -11.789 - -11.7853332. Round w to 5 decimal places.
-0.00367
Let k(v) = 1354*v**2 + 2*v. Let w be k(4). Suppose 0 = -74*p + 69*p - 7*q - 53339, 5*q = p + 10687. Let z = p + w. Round z to the nearest 1000.
11000
Let x = 6.1332054021 + -6.1332. What is x rounded to seven dps?
0.0000054
Let b = -114.38 + 102.509. Round b to zero dps.
-12
Suppose 67 = -3*m - 86. Let o = m - -53. Suppose l - 4*x - 5526 = 0, 0 = -o*l + 6*l + 2*x - 22122. Round l to the nearest one thousand.
6000
Let k = -3.55296 + -161.35004. Let t = 0 - 165. Let w = t - k. Round w to 2 decimal places.
-0.1
Let y be (1 + 87/(-6))/(4/(-8)). Let c(l) = y*l**2 - 9*l**3 + 10*l - 42*l**2 - 12*l**3 - 16. Let t be c(-16). Round t to the nearest one hundred thousand.
100000
Suppose -9383964 = -90*a + 1336836. Round a to the nearest 10000.
120000
Suppose -5 = -4*g + 3*g. Let p be g/3*(30/(-25))/(-1). Suppose -1080002 = -4*q - p*v + v, 269998 = q - v. What is q rounded to the nearest ten thousand?
270000
Let h = -3543040.03700123 - -3543040. Let g = -2.787 - -2.75. Let i = g - h. What is i rounded to seven dps?
0.0000012
Suppose -45*p + 44*p = 3*f + 130969988, -4*p = -5*f + 523880020. Round p to the nearest one million.
-131000000
Let r = -7581 + 7580.91624. Round r to two dps.
-0.08
Let u be 6/(-9)*11/(22/(-9)). Suppose 0 = 5*x - 0*j - u*j + 748515, 5*x - 5*j = -748525. Round x to the nearest ten thousand.
-150000
Suppose -2*n - 4*w - 28 = 2*n, 3*w = -5*n - 35. Let x = n - 5. Let i be 4/x - (-38699999)/(-3). Round i to the nearest 1000000.
-13000000
Let b = -143 - -81. Let a = -61.9999848 - b. Round a to 6 decimal places.
0.000015
Let w = 0.024 + -277.024. Let i = 424.6 + w. What is i rounded to the nearest 10?
150
Suppose 29*a + 777 = -2877. Let c = 34074 - a. What is c rounded to the nearest 10000?
30000
Suppose 0 = 4*k - 632386 - 6733914. Suppose -73425 = z + k. Round z to the nearest one hundred thousand.
-1900000
Let w = -9185 + 13949. Let c = -4732.41 + w. Let q = c - -7.31. Round q to the nearest 10.
40
Let o(i) = -124992*i**2 - 4*i - 6. Let a be o(6). Let z = a + 3197742. What is z rounded to the nearest one hundred thousand?
-1300000
Let x = 19.709987219 - 19.71. Round x to seven dps.
-0.0000128
Let v = 199.92 + -144. Let r = 55 - v. Let q = r - -1.74. Round q to one dp.
0.8
Let n(l) = -l**2 - 2*l + 24. Let w = 29 + -35. Let t be n(w). Suppose 0 = 4*j - t*i + i + 536000, 0 = 2*j + 5*i + 268000. Round j to the nearest 100000.
-100000
Let w = -254.9072 + 375.8653. Let k = -24.0611 + w. Let m = -97 + k. What is m rounded to two dps?
-0.1
Let w = -1298.29 + -4124.61. What is w rounded to the nearest one thousand?
-5000
Let p(n) = 4*n + 20. Let v be p(11). Suppose 2*o = 10*o - v. Let y be 158*6/o*(-40)/(-6). What is y rounded to the nearest one hundred?
800
Let l = -8.8 + 18.2. Let d = -84.4 + l. Let j = -73.65 - d. What is j rounded to 1 decimal place?
1.4
Let c = 781.0885 + -781. Let s = 123.4885 - c. Round s to zero decimal places.
123
Let l = 3004.9121 + -0.1121. What is l rounded to the nearest 100?
3000
Suppose 4*a = -2*f - 0*f + 48, 3*f - 52 = -4*a. Suppose -9*w + 1 = -a*w. Let q be (-5375)/(w/(-16)*-1). Round q to the nearest ten thousand.
90000
Let t = 21.93 + -599.53. What is t rounded to the nearest 10?
-580
Let p = 0.045 + 25.955. Let n = 27.5 - p. Let u = n - 5.02. Round u to 1 decimal place.
-3.5
Let x = -78153553.995265 + 78154023. Let z = 469 - x. Round z to 3 decimal places.
-0.005
Let n be 24 - (-42)/(-2 - 5). Suppose 27*h = n*h + 1323000. Round h to the nearest ten thousand.
150000
Suppose 2*i + a = -103822 - 97279, 402198 = -4*i + 2*a. What is i rounded to the nearest one thousand?
-101000
Let d = 860933725.609004379 - 860933724. Let x = 1.609 - d. What is x rounded to 7 decimal places?
-0.0000044
Let r = -10063927922.9997942 - -10063929203. Let g = 1280 - r. What is g rounded to five decimal places?
-0.00021
Let x = 408.2 + -408.20000005078. Round x to 7 dps.
-0.0000001
Let q = -8.9094055 + 11.07940355. Let v = q + -2.17. Round v to seven dps.
-0.000002
Let v = 15 + -16. Let n be ((-6)/(-4) - 0)/(v/50). Let s be (-36 + -4 + 2)/(3/n). Round s to the nearest one hundred.
1000
Let s = -2.7095 + 0.374. Round s to 1 dp.
-2.3
Let i = 0.1142 - 0.053944. Let f = 3.06 - 3. Let h = i - f. What is h rounded to five decimal places?
0.00026
Let f = -57.633 + 68.8316. Let r = 11.2 - f. Round r to three decimal places.
0.001
Let t be ((1 - 4)/(-3))/(2/14). Suppose t*x - 24 = 102. Suppose -22*w = -x*w + 1108000. Round w to the nearest 100000.
-300000
Let c be 2*(-7)/(-21)*342/2. Suppose -c*n = -110*n - 3184. Round n to the nearest one hundred.
800
Let f = 64 - 7.4. Let y = -56.58404 + f. What is y rounded to 3 decimal places?
0.016
Let n = -74 + 2. Let q = 72.0438 + n. What is q rounded to 2 decimal places?
0.04
Let a = -0.56 - 18.44. Let f = a + 19.00578. Round f to three dps.
0.006
Let r = 14555861255.500000035 - 14555861287. Let j = r - -31.5. Round j to seven decimal places.
0
Let q = 16 + -19.81. Let v = 3.8099963 + q. Round v to seven dps.
-0.0000037
Let u = -100547273 + 50317273. What is u rounded to the nearest one million?
-50000000
Let a = -157135 + 9795. Round a to the nearest ten thousand.
-150000
Suppose 60 = -1675*z + 1660*z. Let j(r) = 659*r - 6 - 232*r + 309*r. Let i be j(z). What is i rounded to the nearest 100?
-3000
Let s = -12.3 - 3.1. Let w = 14.793 + s. Let f = -0.60361 - w. What is f rounded to four decimal places?
0.0034
Let w = 0.01283905 - 0.01308. Round w to 5 dps.
-0.00024
Suppose 992*a - 1992*a + 989*a - 1039060 = 0. Round a to the nearest one thousand.
-94000
Let g be (-2314)/(-38) + (-80)/(-760). Round g to the nearest 100.
100
Let u = -594 + -794. Let k = 1387.7687 + u. What is k rounded to two dps?
-0.23
Let w be 18*(-1)/(-2) - (6 - 2). Suppose 3*p = 0, 577060 = w*i + 3*p - 227940. Round i to the nearest ten thousand.
160000
Let s = 110171083538.094049 + -110170988099. Let d = -95439 + s. Let o = d - 0.094. What is o rounded to five decimal places?
0.00005
Let g(f) = -2*f**2 - 224*f + 1485. Let h be g(7). Round h to the nearest 100.
-200
Let n = -826.7 + 788. Let q = -102.6 - n. Round q to the nearest ten.
-60
Let a = 456 + -128. Let y = a + -322.41. What is y rounded to the nearest integer?
6
Let l(q) = 23*q**3 + 57*q**2 - 201*q - 299. Let k be l(61). Round k to the nearest 1000000.
5000000
Let h = 32.87405 - 5.87535. Let d = 9 - -18. Let o = d - h. What is o rounded to 4 decimal places?
0.0013
Let j = -401.13 - -402. Let m = j + -0.469. What is m rounded to 2 decimal places?
0.4
Suppose -a + 5*u = 186639985, 4*a + 0*a = -7*u - 746560021. Round a to the nearest one million.
-187000000
Let l be ((-3)/(-1))/(1*(5 - 4)). Suppose -661999 = -2*b - a, l*a - 4*a - 1 = 0. What is b rounded to the nearest 100000?
300000
Let r = 186 - 186. Let f be 4/(-20)*r + 767000. Round f to the nearest one hundred thousand.
800000
Let n be 32/(1 - -3 - 2). Let r(q) = -2389*q**2 - 15*q - 5. Let k be r(n). Let g = 188171 - k. Round g to the nearest 1000000.
1000000
Le | {
"pile_set_name": "DM Mathematics"
} |
, 2, 5?
5
What is the third biggest value in 171, -1/4, 0.3?
-1/4
What is the third biggest value in -0.3, -1/2, 1?
-1/2
What is the third smallest value in -46.6, -3, 5?
5
Which is the fifth biggest value? (a) 1 (b) 5 (c) 0.073 (d) 4 (e) -2/15
e
What is the second biggest value in 11/6, 0.4, -2/9?
0.4
Which is the smallest value? (a) -2/3 (b) 1 (c) 0.6 (d) 7/2
a
What is the second biggest value in -0.1, 0.1, -4599?
-0.1
What is the second biggest value in 0, -0.21, -2/11, -2/31?
-2/31
What is the fourth biggest value in -39, -1/3, 2/7, 17?
-39
What is the third smallest value in 0.17, -1, 0.05, -5/3, -4?
-1
Which is the third biggest value? (a) 0.11 (b) -3 (c) 27
b
Which is the second biggest value? (a) -2 (b) 0.3 (c) -2/17 (d) -0.026 (e) 2/5
b
Which is the smallest value? (a) 0.3 (b) 1 (c) 0.42 (d) 0.9 (e) 0.5
a
Which is the second biggest value? (a) -172 (b) 0.1 (c) -8
c
Which is the third smallest value? (a) -5/2 (b) -0.6 (c) 1
c
Which is the fourth biggest value? (a) -0.4 (b) -7 (c) -2 (d) 1/6
b
Which is the fourth biggest value? (a) 0.1 (b) 5 (c) -1/2 (d) -1410
d
What is the second biggest value in 3, -4/3, -228, 0.3?
0.3
What is the second biggest value in -43, -1/2, 241, 4?
4
What is the fourth biggest value in 4, -1/10, 0, 3?
-1/10
Which is the third smallest value? (a) 5/3 (b) 0.08 (c) -0.3
a
Which is the biggest value? (a) 3 (b) -7560 (c) -2
a
Which is the smallest value? (a) 4/5 (b) 1/19 (c) 0.5
b
Which is the fifth biggest value? (a) -0.3 (b) -0.4 (c) -3 (d) 3 (e) 0.05
c
What is the fifth biggest value in 2/3, -11/4, 2/5, -2/9, 1.3?
-11/4
What is the second biggest value in -2/9, -3, -4, 4?
-2/9
Which is the third biggest value? (a) -5 (b) 4/5 (c) 29/5
a
Which is the third biggest value? (a) -2/3 (b) -1 (c) 2/55 (d) -1/5 (e) 2/5
d
What is the fourth smallest value in -2, 2/5, -1/6, -2/11?
2/5
What is the fourth smallest value in -4, 2/13, 2/5, 1?
1
What is the fourth biggest value in -2, 49/4, 5, -5?
-5
Which is the fourth smallest value? (a) 2 (b) -1/5 (c) 3 (d) -4/65 (e) -5
a
Which is the second smallest value? (a) -9 (b) 5 (c) 2/7
c
What is the second smallest value in 0.05, 0, 0.02?
0.02
What is the second biggest value in -0.6, -9, -0.1, 1?
-0.1
Which is the biggest value? (a) 2 (b) -0.1 (c) 2/3 (d) -284
a
Which is the biggest value? (a) 0.3 (b) -4 (c) 19 (d) 3/4
c
Which is the second smallest value? (a) 1/7 (b) 0.4 (c) 7 (d) 3/2
b
What is the second smallest value in 5/3, 0.1, 3?
5/3
Which is the third biggest value? (a) 2 (b) -0.0965 (c) 0
b
Which is the third smallest value? (a) -1/9 (b) 0.2 (c) 3/19
b
Which is the fourth biggest value? (a) 2 (b) 4 (c) -0.2 (d) -2/21
c
What is the second smallest value in 0.5, 0.06, -0.2, -1?
-0.2
What is the fourth biggest value in -3, -1, -39, 4, 65?
-3
What is the fourth smallest value in 0.5, 2/3, -3, -0.02?
2/3
What is the biggest value in -0.05, 26, 5, 2, 0.2?
26
Which is the smallest value? (a) 4 (b) 146 (c) -3
c
Which is the fourth biggest value? (a) 0.1 (b) 0.5 (c) 1.4 (d) -0.6 (e) -0.5
e
Which is the biggest value? (a) 0.0206 (b) 5 (c) -2/5 (d) -2/7
b
What is the second biggest value in 2/11, -1/11, -4?
-1/11
Which is the fourth biggest value? (a) -3/7 (b) -0.2 (c) -1 (d) -1/29
c
Which is the second smallest value? (a) -2 (b) -14 (c) 3 (d) -6/17
a
What is the smallest value in -2/399, -2/15, 2?
-2/15
What is the smallest value in 6/5, -1/4, 1/74, 2/11?
-1/4
Which is the third biggest value? (a) -0.01 (b) 0.4 (c) -0.2 (d) 5
a
Which is the biggest value? (a) 5 (b) 2/3 (c) -34 (d) 1
a
What is the second biggest value in 5, -1/20, -12, -0.4?
-1/20
Which is the third smallest value? (a) 3/4 (b) -2/27 (c) 5
c
Which is the biggest value? (a) -1 (b) 38 (c) -2/5
b
What is the second biggest value in -4, 5, -5, -0.2?
-0.2
Which is the fourth biggest value? (a) -2/3 (b) -1/3 (c) -0.1 (d) 0
a
What is the fourth biggest value in 2, -0.1, -0.5, -1/43?
-0.5
What is the smallest value in -2/9, -1, -54/11?
-54/11
Which is the second smallest value? (a) -194/3 (b) 0.2 (c) 3
b
Which is the third smallest value? (a) 1/9 (b) -0.6 (c) -0.1 (d) 0.1
d
Which is the smallest value? (a) -1/10 (b) -0.8 (c) -10 (d) -4
c
What is the smallest value in 2/5, 3/8, -400, -3?
-400
Which is the second smallest value? (a) 0.4 (b) 2 (c) -2/3 (d) -2.4 (e) 3/2
c
What is the fifth biggest value in -0.6, 3, 4, -2/31, 2?
-0.6
What is the fourth biggest value in -0.17, 1, 1/5, -4, -3/8?
-3/8
What is the third smallest value in -0.7, 14, 12, 0, 5?
5
What is the smallest value in 8, -11, 0.2, -0.1?
-11
Which is the second biggest value? (a) 1/7 (b) -4 (c) -2/13 (d) -2/273
d
Which is the second biggest value? (a) -0.3 (b) 0 (c) 18 (d) 3/5 (e) -2/3
d
Which is the biggest value? (a) 10 (b) -5 (c) 186/11 (d) 5 (e) -1/6
c
What is the second smallest value in 5.27, 6, -0.5?
5.27
Which is the second biggest value? (a) 87 (b) -2 (c) 0.2 (d) 5
d
Which is the third smallest value? (a) 0 (b) 1/33 (c) -8
b
Which is the third biggest value? (a) 0.03 (b) 2/3 (c) -1/3 (d) 0.5 (e) -76
a
Which is the third biggest value? (a) -5 (b) 0.124 (c) -3
a
Which is the second biggest value? (a) -7 (b) -1 (c) -6/7
b
Which is the third smallest value? (a) 0.34 (b) 3/4 (c) 0.4 (d) 0.3
c
Which is the third smallest value? (a) -0.2 (b) -1/10 (c) -3/2 (d) -120 (e) -2/15
a
What is the fourth biggest value in 0, -3, -55, -2, -5?
-5
Which is the fourth biggest value? (a) 244 (b) 2/19 (c) 0 (d) -1/10 (e) -1
d
Which is the biggest value? (a) 4/5 (b) -2/3 (c) -0.4 (d) -8
a
Which is the smallest value? (a) 372 (b) -0.1 (c) -4 (d) 5 (e) 2
c
Which is the second biggest value? (a) 11 (b) 22 (c) -2 (d) -0.01 (e) 0.4
a
Which is the second smallest value? (a) 1.86 (b) 4 (c) 2
c
Which is the third smallest value? (a) 0.04 (b) 1.2 (c) 5 (d) 4 (e) -4/19
b
What is the second smallest value in -5, -1.2, 40?
-1.2
Which is the third smallest value? (a) -5 (b) 41 (c) 2/5
b
Which is the second smallest value? (a) 57 (b) 20.9 (c) -2
b
What is the second smallest value in -2/5, 0, 107, -1, 2?
-2/5
Which is the second biggest value? (a) 2/5 (b) 1 (c) -0.1
a
Which is the third smallest value? (a) -13 (b) -1/4 (c) 1/7
c
Which is the fourth smallest value? (a) -0.4 (b) -3/2 (c) 3 (d) 825
d
Which is the biggest value? (a) 3 (b) 5 (c) 7
c
Which is the fourth smallest value? (a) -9 (b) -2 (c) 0 (d) -0.4 (e) 0.038
c
Which is the third smallest value? (a) -0.03 (b) -4 (c) -10 (d) -1
d
What is the third biggest value in 26, -4, 0, -8?
-4
Which is the second smallest value? (a) -4 (b) 2/9 (c) -502
a
Which is the smallest value? (a) -2/7 (b) 0 (c) -5 (d) 0.062 (e) -2
c
Which is the second biggest value? (a) -5 (b) 2 (c) 4 (d) -3
b
What is the third biggest value in 0, 8/7, 0.5?
0
What is the smallest value in -1, -92, 0?
-92
Which is the second smallest value? (a) -0.6 (b) -0.05 (c) 2
b
Which is the smallest value? (a) -1 (b) -3 (c) 1 (d) 0.1 (e) 94/35
b
What is the third smallest value in 0.125, 3, 20?
20
Which is the second biggest value? (a) -4 (b) 3 (c) 1/4
c
Which is the second smallest value? (a) 45 (b) 2 (c) 3 (d) -2
b
What is the fourth smallest value in 4/3, -18, 4, -14, -5?
4/3
What is the third biggest value in -3, -2/39, -15?
-15
What is the second smallest value in -2/19, -4, -0.5, -9, -3?
-4
What is the smallest value in -4, -5, 1, -100/17?
-100/17
What is the biggest value in -20, 1, 0?
1
Which is the smallest value? (a) -1.9 (b) -2/9 (c) 4/3
a
What is the biggest value in 1, 9, 3/5, -0.4, 7?
9
Which is the second biggest value? (a) 1 (b) -4/5 (c) -21
b
Which is the fifth biggest value? (a) -2 (b) -2/7 (c) 5 (d) 0.7 (e) -0.2
a
What is the biggest value in 2.4, -2, -70?
2.4
Which is the second smallest value? (a) -1/7 (b) -2 (c) 1859
a
Which is the third smallest value? (a) -1.8 (b) -2/7 (c) 0 (d) 2/3
c
What is the second smallest value in -4, -1, 0, -2/7, -3.9?
-3.9
Which is the third biggest value? (a) 0.4 (b) -6 (c) -4 (d) 0.73 (e) -0.5
e
What is the second smallest value in -2925, 2/17, 0 | {
"pile_set_name": "DM Mathematics"
} |
be v(0). Suppose -6 + 116 = -f*p. Find the common denominator of -55/6 and (p/231)/((-12)/497).
18
Let n(u) = -2*u**2 - 51*u + 84. What is the least common multiple of 34 and n(-27)?
102
Let c be 223739/756*((-24414)/3486 - -7). Let d = c + 1/4067. Let r = 12299 - 270525/22. Calculate the common denominator of d and r.
594
Let d = -2088 - -2094. Calculate the smallest common multiple of d and 534.
534
Calculate the lowest common multiple of 1150 and (-3 + (14 - 10))/((-1)/(-8)).
4600
Let h(t) = 2*t**2 + 12. Calculate the smallest common multiple of h(3) and 96.
480
Let y = -22 + 37. Calculate the lowest common multiple of 0 + (3 + -234)/(-7) and y.
165
Let p = 797 - 6353/8. Find the common denominator of p and -7/10.
40
Let a be (-2 + 348/(-8))*6. Let d = a - -1023/4. Let l = -113185/18 + 6284. Calculate the common denominator of l and d.
36
Let k(r) = 3*r + 15. Let s be k(-11). Calculate the common denominator of -17/14 and 731/85*5/s.
126
Suppose -3*n - 8 = n, 3*z + 94 = -2*n. Find the common denominator of z/(-50) + (118/(-320))/(-1) and 139/6.
96
Suppose -4*r = -18 - 62. What is the least common multiple of 276 and r?
1380
Let k = -368 + 371. Let q(d) = -d**2 + 3*d. Let h be q(3). Suppose 0 = -5*v - h*v + 115. Calculate the smallest common multiple of k and v.
69
Let j(f) = f**2 + 21. Let t be j(0). Calculate the common denominator of 17/9 and (-3)/((-83)/6 - (-7)/t).
9
Let q(t) = -7*t. Let k be q(-9). Calculate the common denominator of (-31)/(-10) + -1 - 0 and k/294 + 3/(-1).
70
Let r be 12/18 + 1091/(-30). Suppose -6*j + 2*j = -116. Let x = r + j. What is the common denominator of x and -73/4?
20
Let m(z) = -7*z - 187. Calculate the lowest common multiple of m(-29) and 546.
4368
Let b be (-20685)/(-20) + -9 - (-2)/8. Let p = b + -997. Calculate the common denominator of p and 79/12.
12
Let a be (6/9)/((-2)/12). Let g = -1067 + 1061. What is the common denominator of (-780)/495*g/a and -3?
11
Let f be 8/28 + (-5021172)/154. Let l = f + 185012633/5676. Let y = l + -7/172. What is the common denominator of y and -7/18?
18
Suppose -39*i = -37*i + 12. Let z = -35757/5335 + 5/2134. What is the common denominator of z and (-1391)/312 - (-1 - 10/i)?
40
Suppose 17 = -3*m + 4*s, 0 = -3*m - s + 4*s - 15. Calculate the lowest common multiple of 13/(8 + -47) - 10/(-3) and ((-9)/1)/m*3.
9
Suppose -5*y - 9 = -69. What is the common denominator of -5/4 and 3/y - (0 - 37/(-2))?
4
Let u be 1/(-1)*-1*-2 - -4. Suppose 11*h - 13*h - 3*f - u = 0, 0 = 2*h + 2*f. Calculate the lowest common multiple of h and 6.
6
Let h = 134 + -118. Let d(z) = z**2 - 3*z - 2. Let g be d(-3). Suppose 0*w + g = 4*w. What is the least common multiple of w and h?
16
Let m = 31 - 26. Suppose -b - b - 88 = -m*g, -5*g + 89 = -b. What is the lowest common multiple of g and 4?
36
Let n = 88 + -80. What is the least common multiple of 136 and n?
136
Let m = -50515 + 11163794/221. Let c = 3053/5083 - m. Find the common denominator of c and 38/11.
253
Let c = 8 - -12. Calculate the least common multiple of c and 5/10*48 - 12.
60
Let l(o) = o + 15. Let u be l(-15). Suppose -3*j - 4 + 22 = u. What is the lowest common multiple of j and 20?
60
Suppose 0 = h - 2*n - 6, 2*h - 4 - 2 = -2*n. Calculate the least common multiple of 114 and h.
228
Find the common denominator of 27/16 and 77/14 - (-1422)/(-336).
112
Let u = -3431 + 339707/99. Find the common denominator of u and 13/6.
198
Let i(h) = 4747841*h**3 - 5*h**2 + 6*h - 1. Let b be i(5). Let u = -3016065529381/5082 + b. Let v = -10/363 + u. Find the common denominator of v and -103/12.
84
Let c = -12/85 + 373/2040. Find the common denominator of c and 86/75.
600
Let g be 165/12 - 1/(-4). Suppose 3*x - 7 - g = 0. What is the least common multiple of x and (-2 - 1) + 13 + -2?
56
Let i(f) = -5*f - 76. Let k be 6/(-2 + (-22)/(-12)). Calculate the smallest common multiple of i(-16) and (6/9)/((-3)/k).
8
Suppose -5*v - 3*l = -92, -17 + 13 = -l. Calculate the least common multiple of 1956 and v.
7824
Let z = 236128/11 + -477755/22. Let s = z + 250. What is the common denominator of s and 8?
22
Let c = -2243/170 - -328/17. Calculate the common denominator of c and ((-82)/16)/(1 + -4).
120
Suppose 0 = -81*b + 82*b - 2. Suppose 4*u = -0*u - g + 193, -5*g = 3*u - 149. Calculate the lowest common multiple of b and u.
48
Let w = -252 - -264. What is the least common multiple of 126 and w?
252
Suppose 3*u - 377 = -0*u + 5*l, 3*u - 376 = 4*l. Suppose -42 = 3*z - 3*w, -u = 5*z + 4*w - 18. Find the common denominator of 43/16 and ((-36)/(-48))/(11/z).
176
Let z = -4 - -8. Suppose g = 2*w - 18, 0 = -g + z*g + 6. Calculate the lowest common multiple of 20 and w.
40
Calculate the common denominator of 19/368 and (-4)/(-1150)*2320/(-64).
1840
Let l(s) = 11*s + 1. Let d = -23 + 22. Let z be l(d). Find the common denominator of 101/32 and (-1)/8*12/z.
160
What is the lowest common multiple of 42/(0 - -1) + (-26 - -32) and 5?
240
Let c(v) = -1838*v**2 + 2*v - 1. Let x be c(-2). Let f = x + 4904. Let t = f + 24429/10. What is the common denominator of t and -13/16?
80
Let a(h) = h**2 - 7*h - 8. Let q be a(8). Suppose -y + q + 6 = 0. What is the lowest common multiple of y and 6?
6
Let o(p) = 8*p**2 - 5*p - 12. Calculate the least common multiple of 55 and o(2).
110
Let n = 693 - 678. Let w = -4 + 16. Calculate the lowest common multiple of n and w.
60
Calculate the lowest common multiple of 10 and (1456/(-260))/((-6)/615).
2870
What is the lowest common multiple of 4 and 36/6 + 4/3*-3?
4
Suppose 0 = -4*o - 80 - 280. What is the common denominator of 2 - (265/o - -3) and 89/8?
72
Suppose 2*r + 270 = 7*r. Suppose 7*q = -2*q + 108. What is the smallest common multiple of r and q?
108
Let q = -1588/7 - -13005/56. Calculate the common denominator of 339/36 - 1*-2 and q.
24
Suppose -5*a = 22 + 3, 4*v + 68 = -4*a. Let x be (21206/(-96))/(2445/v). Let b = 2/2445 - x. Find the common denominator of -15/22 and b.
132
Let b = -145 - -144. Let t(s) = 8*s + 11. Calculate the least common multiple of t(b) and 8.
24
Let a = 424 + -418. Suppose -4*l + 45 = l. What is the lowest common multiple of a and l?
18
Let v be 18861/10778 + (-2 - -2). Let c = v + 14/317. Calculate the common denominator of -45/8 and c.
136
Find the common denominator of ((-27)/21)/((-72)/48) and -45/149.
1043
Suppose 0 = 6*h - 8*h + 686. Suppose 2*x - 8 = -2*z + 132, -2*z - h = -5*x. Suppose x + 111 = 5*a. Calculate the smallest common multiple of a and 12.
36
Suppose 41 + 9 = -2*y. Calculate the least common multiple of 22 and 24/5*y/(-10).
132
Suppose -f = 2*v + 4, -5*f - 5*v - 8 = -v. What is the common denominator of (18/(-396))/(2/158) and -2 + f + 157/50?
550
Calculate the common denominator of 89/18 and (-4 - (-18)/5)/((-8)/(-490)).
18
Let r = 2687/5 - 1061/2. What is the common denominator of r and (-171)/7 + (-27)/(-63)?
10
Let r = 123 - 75. Suppose 5*p - 2*d = r, -2*d - 28 = p - 4*p. Calculate the lowest common multiple of 42 and p.
210
What is the lowest common multiple of 224 and 66 + 3 - (1 + -6 + 10)?
448
Let v = -1293 + 1453. Calculate the smallest common multiple of v and 352.
1760
Let k = 2791/354 + -3/59. Calculate the common denominator of k and 58/147.
294
Let t(o) = -49*o + 451. Suppose 3*u + 0*u = 3*z + 30, 2*z + 62 = 5*u. What is the smallest common multiple of u and t(9)?
70
Suppose 4*z = -4 + 8. Suppose -10*a - 20*a = -90. What is the least common multiple of a and z?
3
Let y be -2 - (-4 + 0/3). What is the common denominator of (-87)/(-45) + (-1)/y and 79/8?
120
Suppose -22 = 4*l - 86. Calculate the lowest common multiple of 4 and l.
16
Let a(p) = 24*p**2 - 20*p + 19. Let r be a(13). Let f = r + -15181/4. Calculate the common denominator of -49 and f.
4
Let z = 3802 + -76079/20. Suppose -22 = -3*k - 5*a, -5*k - 15 - 5 = -3*a. Calculate the common denominator of z and ((-25)/6)/(k/4).
60
Let c be (-190)/(-7) - 3/21. Let i be (1 - -2648)/(c/36). Let g = i - 63457/18. Calculate the common denominator of g and -53/8.
72
Suppose 0 = 2*p + 5*p - 210. Calculate the lowest common multiple of ((-36)/14)/((-24)/112) and p.
60
Let l(r) = 4*r - 3. Let c be l(1). Suppose 5 = -a + c. Calculate the common denominator of 31 + a - 1/2 and 85/16.
16
Suppose 9*n = 8*n + 4. Suppose 0 = z - n*z + | {
"pile_set_name": "DM Mathematics"
} |
Let k = -3/19 - 1/114. What is the third biggest value in -2, k, 0.8, 0?
k
Let q be (-2)/(-4)*8/1804. Let z = -885/7667 - q. Which is the biggest value? (a) 0 (b) z (c) 1
c
Let s = -26 + 26.1. Suppose 0 = 5*l + 9 + 11. Let z be (-40)/42 - (-2)/3. What is the third smallest value in l, z, s?
s
Let h be (-3)/9 + 4002608/33. Let i = h + -121420. Let u = 129 + i. Which is the second smallest value? (a) -0.4 (b) -1 (c) u
a
Let x = 1307/12236 + -1/644. What is the smallest value in -1, x, 3/4, 2/5?
-1
Let x = 4 - 10. Let g = x - -11. Let u = -0.6 + -4.4. Which is the second biggest value? (a) u (b) -1/2 (c) g
b
Let s(o) = -o**3 - 7*o**2 - o. Let p be s(-5). Let x be p/10*2/(-3). Let v = 5.4 + -5. Which is the biggest value? (a) 1/2 (b) x (c) v
b
Let o = 110 + -437/4. What is the third biggest value in o, 1, -2?
-2
Let m be (-2)/4 + (-5)/(-2). Let d = -20 - -12. Let n = d - -9. Which is the second smallest value? (a) -1 (b) n (c) m
b
Let o = 0.8 - -1.2. Let b = -1522 - -2987/2. Let h = b - -28. What is the smallest value in h, o, 0.4?
h
Let n = -2 - -5. Suppose -w + 2 = -n*w. Let r be 0 - (-3 - w - -3). Which is the biggest value? (a) 2 (b) -1/5 (c) r
a
Let z = 8 - 8.3. Let b = 6 + -6.3. Let u = z - b. What is the smallest value in -1, u, -0.3?
-1
Let i = 0 - 5. Let c be i/(-30)*9/(-4). Let w = 48 - 47.8. What is the third biggest value in c, 0.4, w?
c
Let p = -36 - -34. What is the third smallest value in 0.2, -2/3, p?
0.2
Let q = 32 - 37. Let k = 0.8 + -0.4. Let x = k - 0.3. Which is the second smallest value? (a) q (b) 5 (c) x
c
Suppose -26 = 5*x - 6. What is the third biggest value in -5, -2, x?
-5
Let y = 2 + -1.8. Let o = -32/35 + 5/7. Which is the second smallest value? (a) y (b) o (c) -1/6
c
Let j = 27 - 24. What is the third biggest value in -0.4, 5, j?
-0.4
Let t = 0 - 5. Let i = -91 + 89. Suppose w + 14 = -f + 5*f, -5*f - 3*w + 9 = 0. Which is the second smallest value? (a) f (b) i (c) t
b
Let x = -170/3 + 56. What is the second smallest value in -2/17, 0.4, x?
-2/17
Let t = 1.4 - -0.6. Let y be (2/(-8))/(1/(-2)). What is the second smallest value in t, 0.3, y?
y
Let n = -8 + 6. Let o = 0.11 - -5.89. Let i = o - 11. What is the smallest value in i, 0.5, n?
i
Let l = 0.24 - 0.1. Let j = -0.063 - -0.023. Let w = j + l. What is the second biggest value in w, 0.4, -5?
w
Let m = 3 + -2.5. Suppose -4*b - 20 = 12. Let f be (b/(-6) - 1)*0. What is the smallest value in -1, m, f?
-1
Let x = 2.6 + -3.1. Let h = -1/52 - 49/156. Which is the third smallest value? (a) x (b) h (c) -2
b
Suppose 3*f - 10 = f. Let u = -55/6 + 28/3. Which is the biggest value? (a) f (b) -2 (c) u
a
Let l = -5.1 + 0.1. What is the third smallest value in l, 5, 4, 0?
4
Let y = -0.4 + 0.3. Let j = y - -1.1. Which is the second biggest value? (a) 2 (b) j (c) 0.3
b
Let a = 1 - 2. Let n = 0.65 - 4.65. What is the smallest value in a, n, 5/2?
n
Let o = 3.4 - 3. Let h = 0.69 - 0.09. Let l = h + o. What is the smallest value in l, 1/4, -3/5?
-3/5
Let s be (8/4*-1)/(-6). Let r = -0.2 - -0.1. Which is the smallest value? (a) s (b) 0.1 (c) r
c
Let x = -21.4 + 21. Which is the second biggest value? (a) -0.06 (b) -3 (c) x
c
Let t = 15 - 10. Let i be 68/(-144) - (-2)/9. Which is the third biggest value? (a) 2/13 (b) i (c) t
b
Let n = -6 - -6.2. Let u = n - 0.6. What is the biggest value in -4, u, 1?
1
Let h = 10681/39 - 274. Let k = 113/273 + h. Let f = -0.7 - -1. Which is the biggest value? (a) k (b) f (c) 0.2
b
Let s = -206 + 206.4. Let l be 4/6 + 10/(-24). Which is the third smallest value? (a) l (b) s (c) -0.2
b
Let k = 158 - 68. Let l be 42/k - (-4)/(-6). Which is the third smallest value? (a) l (b) 4 (c) 1/4
b
Let f be 39/60 - (-1)/(-4). Which is the third smallest value? (a) 1/7 (b) f (c) -0.3 (d) -0.1
a
Let q = 0.8 + 2.2. Let o be (4/16)/((25/4)/5). Which is the biggest value? (a) o (b) -2 (c) q
c
Suppose -2*p - 3*k = -0*k - 16, -5*p + k + 6 = 0. Suppose p*z - 2 = 4*v, z = -z + 5*v. What is the smallest value in z, -4, 2?
-4
Let q = -6.6 - -1.6. What is the biggest value in q, 1/3, -4?
1/3
Let f = 1.1 + -0.1. Let m = 1.2 - 2.2. Which is the second smallest value? (a) 2/7 (b) f (c) m
a
Let s = -170.2 + 170. Let f = -19 - -77/4. What is the biggest value in f, 3, s?
3
Let w = -0.55 - -0.25. Suppose 4*z = -n + 21, 2*n + 3 + 5 = 2*z. Which is the third biggest value? (a) w (b) -1 (c) n
b
Let g be ((-2)/(-1) - 12) + -4. Let y be (-2)/g*(-4 - -3). Which is the biggest value? (a) -4 (b) y (c) 0
c
Let p = 0.3 + -0.2. Let w = -1.9 + p. Let v = w + 2. Which is the second smallest value? (a) -4 (b) -0.5 (c) v
b
Let g = 0.2 - 0. Let t = g - -0.3. Let n = 0.2 + 0. Which is the second biggest value? (a) 4 (b) n (c) t
c
Let s be (-104)/(-306) - 16/72. Suppose 3*f = 5*a - 20, 2*f - 4 = -f - a. What is the second smallest value in s, -0.3, f?
f
Let j = -1.8 - 9.2. Let r = j - -8. Let y = -2/41 + 45/82. Which is the biggest value? (a) y (b) r (c) -0.2
a
Let k = 39 - 58. Which is the biggest value? (a) 0 (b) -2 (c) k
a
Let o be (-1 + 3)*11/44. Which is the third smallest value? (a) -2/11 (b) o (c) 0.4
b
Let z(h) = h**2 + 3*h + 3. Let o be z(-3). Let d = 3.2 - 3. What is the biggest value in -0.5, d, o?
o
Let m(y) = -2*y + 1. Let j be m(-4). Let k(i) = -i - 9. Let v be k(-6). Let x be 3/j - (-2 - v). Which is the biggest value? (a) -0.3 (b) x (c) -2
a
Let u = 19 - 41. Let r = u - -18. Which is the third smallest value? (a) -0.5 (b) r (c) -3
a
Let i be (51/15 + -3)/((-6)/10). Let a = -3 + 3.2. What is the third biggest value in -0.5, i, a?
i
Let p be (28/42)/(-1 - -4). Which is the third smallest value? (a) p (b) -1/6 (c) 0
a
Let z = -7 - -18. Let i = -8 + z. Let r = 8 - 12. Which is the third biggest value? (a) i (b) r (c) -2
b
Let x be 112/(-231) - 6/(-9). Which is the third smallest value? (a) x (b) 4 (c) -1
b
Let c be (2/(-6))/(6/(-36)). Let n = -0.4 - -0.1. What is the third smallest value in c, n, -0.1?
c
Let f(i) = i**2 + 2*i - 5. Let d be f(-4). Let p = 12 - 20. Which is the third biggest value? (a) d (b) p (c) -3
b
Suppose 4*m - 243 = 117. Let h be (-6 - -3 - -4)*m. Let t be (-1)/(-2) - 33/h. What is the second biggest value in -5, 1, t?
t
Let n be (-31)/10 + 33/55. Which is the second smallest value? (a) -0.4 (b) n (c) 2/15
a
Let b(j) = 0*j + 0*j + 0 + j - 2. Let g be b(-2). What is the third smallest value in -2, 4, g?
4
Suppose 14 = 5*v - 6. Which is the smallest value? (a) v (b) 0.5 (c) 2 (d) 0.2
d
Let v(q) = q. Let m be v(2). Let n = m - -7. Let o be -2 + (-3)/n - -2. Which is the third biggest value? (a) o (b) 2/9 (c) 0.4
a
Let d = -29 + 26. Let i = -0.5 + -1.5. Which is the second smallest value? (a) 0.04 (b) i (c) d
b
Let n = -5.7 + 10.6. Let y = -5 + n. What is the third biggest value in y, -5, -2/5?
-5
Let y = 85723/6 + -14220. Let l = -67 + y. What is the biggest value in l, -1, -2?
l
Let w = -11.3 + 10.9. Which is the third biggest value? (a) 2 (b) -0.1 (c) 0.5 (d) w
b
Let q be (6/(-9))/((3 - 5)*-1). What is the third smallest value in 1/9, 1, q?
1
Let s be -4 + (45/39 - -3). Which is the fourth smallest value? (a) 3.5 (b) 0.4 (c) s (d) -4
a
Let f = -12 + 17. What is the biggest value in 2, f, 1/11?
f
Let n = 0.7 - 1. Let g = 3 + -3.1. Let b = g - -3.1. What is the second biggest value in -0.5, n, b?
n
Let b = -29 - -28.8. What is the biggest value in 1/8, -1/8, 5, b?
5
Let z = 1.7 - 2.1. Which is the third biggest value? (a) -3 (b) -0.06 (c) z
a
Let k = 1.2 + -0.2. Let h = -0.8 + k. Let x = h + -0.3. What is the smallest value in 1, x, -5?
-5
Let d = 0.03 - -0.37. Let w(v) = -v + 4. Let i be w(0). Suppose 0 - 4 = -i*u. Which is the third biggest value? (a) u (b) d (c) -1/5
c
Let g = -2.3 + 0.3. Let r = 3 + g. Let j = 0.2 - 1.2. What is the third smallest value in r, -2/7, j?
r
Let w(q) = q - 1. Let u be w(6). Let f = -4 + u. Let y = -145/3 + 48. Which is the biggest value? (a) -0.2 (b) y (c) f
c
Suppose -2*k = -k + 3*u + 22, -u = -5*k - 46. Let q be 15/(-36)*4/k. What is the biggest value in 0, q, -1/2?
q
Let t be (-1)/2*2 + 17. Let d be (-6)/4*t/84. Let j be 1/(-4) - 2/(-8). Which is the biggest value? (a) -1/2 (b) j (c) d
b
Let u = -1/12 + | {
"pile_set_name": "DM Mathematics"
} |
7*c**5
Expand (-14*y - 52*y - 23*y)*(2 + 1 - 1).
-178*y
Expand (-3 + 1 + 1)*(9 + 38*q - 9)*(9*q - 2*q**2 - 9*q).
76*q**3
Expand 5*z**2 + 2*z**2 - 5*z**2 - z**2 + z**2 - 2*z**2 + (-2*z + 3*z + z)*(3 - 2*z - 3) + 0 + 3*z**2 + 0 + (0 - z + 1 + 1)*(3 + 1 + 2)*(5*z - 3*z - z).
-7*z**2 + 12*z
Expand (2 - 3 - 1)*(d**2 + 0*d**2 - 3*d**2) - 3*d**2 - 3*d**2 + 5*d**2 + (0*d + 0*d - d)*(-9*d + 35*d - 7*d).
-16*d**2
Expand (-21 + 12*z + 21)*(0*z + 0*z**2 + z + z**2).
12*z**3 + 12*z**2
Expand (2 + 2 - 1)*(-7*w + 0*w + 3*w) - 24*w + 15*w - 18*w.
-39*w
Expand (0*l**2 + 2*l**2 - 17*l + 8*l)*(l**3 - 1 + 1).
2*l**5 - 9*l**4
Expand (0 + 0 - 2*i)*(2*i**4 + 0*i**4 - 4*i**4)*(0 + 694 + 290).
3936*i**5
Expand -4*f**3 - 20*f**3 - 3*f**3 + (-2 + f + 2)*(-3*f**2 - 5*f**2 + 3*f**2) + 2*f**3 - 3*f**2 + 3*f**2.
-30*f**3
Expand (3*u**2 + 2*u - u + u)*(-24*u - 74*u - 25*u).
-369*u**3 - 246*u**2
Expand (530 + 1347 + 445 + 366)*(-3*c**2 + c**2 + 0*c**2).
-5376*c**2
Expand (-2 + 2 - 1)*(0*w + 0*w - w) + 5790 - 5790 + 1164*w.
1165*w
Expand -110*q**4 + 22*q**3 + 2*q**4 - 20*q**3 + (q**4 + 2*q**3 - 2*q**3)*(5 - 1 - 3).
-107*q**4 + 2*q**3
Expand (-5*c + 2*c + 2*c + (0 + 0 + 2*c)*(2 - 8 + 3))*(112 - 242 + 109) + 2 - c - 2 + (-1 - c + 1)*(2 + 2 - 2) + c + 3*c - 3*c.
145*c
Expand (30 - 22 - 26)*(0 + 2*q + 1 + 1).
-36*q - 36
Expand (57*t**2 - 191 + 191 + 2*t**2 - 3*t + 3*t + (-1 + 1 + t)*(-4*t - 2*t + 5*t) + 8*t**2 + t**2 - 2*t**2)*(1 + 0 - 3).
-130*t**2
Expand (0*y - y + 2*y)*(35*y - 79*y + 200*y + 374*y).
530*y**2
Expand (0 - 6 + 1)*(-2*r**4 + 2*r**4 - 23*r**5).
115*r**5
Expand (4025*u**2 - 4025*u**2 + 269*u**4 + (u**3 + u**3 + 0*u**3)*(u - 2*u - u))*(-1 + 1 + u)*(6 - 4 - 3).
-265*u**5
Expand ((-1 + 0 + 3)*(o - 2 + 2) + 2*o + o - 4*o + 4 - 4 + 4*o + 1 + o - 1)*(-1 + 2*o**2 + 1) + (2 + 2*o**2 - 2)*(3 - 3 + o).
14*o**3
Expand (-16 + 26 + 15)*(4*w + 4*w - w + (4 - 2 + 0)*(4 - 4 - w)).
125*w
Expand (-2*t + t**3 + 2*t)*(0*t + t - 2*t) + (t**3 + 2*t**3 + 9*t**3)*(-8*t + 12*t + 8*t).
143*t**4
Expand (12 - 425*j + 851*j - 423*j)*(-2 + 2 - 1).
-3*j - 12
Expand (37 - 37 - 31)*(-4*p - 2*p + 5*p)*(4*p**2 - 4*p**2 - p**3).
-31*p**4
Expand (3 + 4*f - 3)*(2 + 3 + 3)*(16*f - 2*f - 5*f).
288*f**2
Expand (-5*t + 0*t + 3*t)*(17*t**3 - 20 + 20) + (-3*t - t + 2*t)*(-2*t**2 + 2*t**2 + 2*t**3) + t - t - 3*t**4.
-41*t**4
Expand (66*m - 45*m + 29*m)*(0 + 2*m + 0)*(0 + 0 - 3)*(-2*m + 2*m + 2*m**2).
-600*m**4
Expand -2*q**5 - q**3 + q**3 + (0*q**3 - 2*q**3 + q**3)*(-6 - 12 - 1075*q**2 + 1072*q**2).
q**5 + 18*q**3
Expand -3*m - 2*m**4 + 3*m + (-m - 2*m**3 + m)*(-1 + 1 + 2*m) + (56*m**3 - 15*m**3 - 16*m**3)*(m - 2 + 2).
19*m**4
Expand 3*l**4 + 2*l**4 - 2*l**4 + (5*l - 3*l + l)*(130*l - 14*l**3 - 130*l).
-39*l**4
Expand 136*u**4 - 71*u - 137*u**4 + 24*u - 2 + u**4 + 2 + 2*u**4 + 0*u**4 - 3*u**4 + 3*u**4 - 4*u**4 + 2*u**4 + (0*u + 2*u - u)*(-1 + 2*u**3 + 1).
2*u**4 - 47*u
Expand (0*p + 0*p + 2*p**2)*(5*p**3 + 0*p**3 - 2*p**3) + 2*p**5 + 0*p**4 + 0*p**4 + 1 + 47*p**5 - 41*p**5 - 27*p**5.
-13*p**5 + 1
Expand -249*r**2 + 528*r**2 - 217*r**2 + (0*r - 3*r + r)*(-1 - 3 + 3)*(-3*r + 0*r + 5*r).
66*r**2
Expand (-4*i**2 + 3*i**2 - i**2)*(-2 + 2 + 4*i**2) + (-7*i**3 + 3*i**3 + 3*i**3)*(-2*i + 57*i + 12*i).
-75*i**4
Expand (-3*t + 0*t + 5*t)*(-13*t**3 - 14*t**3 + 21*t**3) + 3*t**4 - 4*t**4 + 0*t**4 + t**2 - t**2 + t**4 + (-2*t**4 + 0*t**4 + 0*t**4)*(5 - 2 - 2).
-14*t**4
Expand ((13 + 48 + 22)*(4 - 1 - 5) + 0 - 2 + 5)*(u**5 - 2*u**3 + u**5 - u**5).
-163*u**5 + 326*u**3
Expand (-2*n + 0*n + 0*n)*(1 + 2 + 5)*(-3 + 2 + 0)*(2 + 3*n - 2).
48*n**2
Expand (-651 - 98 - 155)*(-v**5 + 0*v**5 - v**5).
1808*v**5
Expand (0*z**2 + 0*z**2 + z**2 + (-z + 4*z - 5*z)*(-2*z - z + z) + 2*z + 2*z**2 - 2*z)*(-8*z**3 + 888 - 888).
-56*z**5
Expand (-3 + 7 - 3*p**2 - 2)*(3 - 6 + 2)*(7 - 10 + 22).
57*p**2 - 38
Expand -8*h**5 + 0 + 0 + (h**3 - 4*h**3 + 10*h**3)*(2*h**2 - 3*h**2 + 3*h**2) + 7*h**5 - 5*h**5 - 6*h**2 - 11*h**2.
8*h**5 - 17*h**2
Expand (-26*v + 43*v - 18*v + 3*v - v - 3*v + (-2*v + 0*v + 0*v)*(3 - 1 - 1))*(4 - 2*v**3 - 4).
8*v**4
Expand (1 - 4 + 2 - 1 - 1 + 0 + 3 + 9 - 6 + (1 + 3 - 6)*(-5 + 3 + 4) + 4 - 1 - 1 - 2 - 3 + 3 + 3 + 3 + 0)*(-3*u + 0*u + 2*u).
-5*u
Expand -2*v + 2*v**2 + 2*v + (-4*v + v - v)*(5 - v - 5) - 2*v**2 + 4*v**2 + 0*v**2 + (-2*v - 2*v + 3*v)*(3*v + v - 3*v).
7*v**2
Expand -158*g**2 - 166*g**2 - 2*g**4 + 324*g**2 + 97*g + (-2 - 3*g**2 + 2)*(-1 + g**2 + 1).
-5*g**4 + 97*g
Expand (0*g**2 - g**2 - 2*g**2)*(10 + 0 - 3)*(-131 - 22*g + 131).
462*g**3
Expand (2 - 3 + 2)*(-2*s**2 - s**4 + 2*s**2) - 304*s**4 + 144*s**4 - 49*s**4 + (s**4 + 2*s**2 - 2*s**2)*(-5 + 3 + 1).
-211*s**4
Expand (0*z + z**2 + 0*z + (0 - 3 + 1)*(-4*z**2 + 5*z**2 - 2*z**2) - 2 + 2 + z**2 + 0 + 15*z**2 + 0)*(2*z - 4*z + 0*z).
-38*z**3
Expand (-3*f**2 - 22*f + 15*f + 21*f)*(2 - 2 + 2 - 4 + 1 + 1 + (-4 + 3 - 1)*(2 + 1 - 4) + 0 + 6 - 4 + 4 + 1 - 3).
-18*f**2 + 84*f
Expand -x**5 - 2*x**5 + 5*x**5 + (-2 - x**4 + 2)*(-3*x + 9*x - 16*x) + 5*x**3 - 4*x**5 - 5*x**3.
8*x**5
Expand (5*g - 31 + 3*g + 32 + (-4 + 4 - 2)*(3*g - 4*g + 3*g))*(1 + 5 - 4)*(4 - 6 + 1 + (0 - 1 - 1)*(-3 - 4 + 4)).
40*g + 10
Expand -124 - 21*t + 124 + (-2*t + 2*t - t)*(-6 + 1 + 3) + t + 0*t - 2*t.
-20*t
Expand 25*b**3 - 1 - 29*b**3 - 34*b**3 + (2*b**2 - 4*b**2 + b**2)*(3*b + 0*b - 4*b).
-37*b**3 - 1
Expand (50*u - 58*u + 123*u + (-u + 3 - 3)*(0 - 3 + 2) + 0*u - u + 3*u - 3*u - u + 3*u)*(-u + 3*u - 4*u + (3*u + 0*u - 2*u)*(2 - 1 - 2) - 2*u + 2 - 2).
-585*u**2
Expand -6*z + 6*z + 3*z**3 + z**2 - z**2 + 2*z**3 + (5*z - z - 2*z)*(-z**2 - 3*z**2 + 2*z**2) + 4*z**3 - 2*z**3 - 4*z**3 - 88*z**3 + 26*z**3 - 74*z**3.
-137*z**3
Expand 0*g**4 + 10*g**4 - 2*g**4 + (-2*g**2 + 3*g - 3*g)*(-6*g**2 + 2*g**2 + g**2) + 0*g**4 + g**4 - 8*g**4.
7*g**4
Expand ((-2 + 3 + 3)*(0 + 0 + 2) + (-3 + 2 + 2)*(-2 + 4 - 3))*(-31 + 31 - 4*o).
-28*o
Expand (3 + 3 + 1)*(-3 + 3 - 3)*(-4 - r + 4).
21*r
Expand (-1614 + 4940*l - 1619 - 1614 + 4847)*(-3*l - l + 2*l).
-9880*l**2
Expand (111 + 18 - 3)*(4*m - 2*m - m) + 8*m + 4*m - m.
137*m
Expand (-2 + 3 + 1)*(-28*h**2 + 2 + 49*h**2 + 32*h**2).
106*h**2 + 4
Expand 2*u**5 - 1 + 1 + (0*u + 0*u + u**4)*(u - 3*u + u) + 13*u - 13*u + 30*u**5.
31*u**5
Expand (1 + 2 + 0)*(-19*g + 9*g + 66*g)*(-2 + 3 - 3).
-336*g
Expand (2*z**2 + z**2 - 2*z**2)*(4 - 4 - 2*z) - 9*z**3 + 3*z**3 - 10*z**3 + (-z + 5*z + 2*z)*(3*z**2 - 4*z**2 + 3*z**2).
-6*z**3
Expand 84*u**4 - 14*u**3 - 161*u**4 + 75*u**4 + (-1 + 1 + 2*u)*(-u**3 + 2 - 2) - 4*u**4 + 3*u**4 + 0*u**4.
-5*u**4 - 14*u**3
Expand ((-1 - 2 + 1)*(2 - 1 - 3) - 1 + 3 + 0 - 3 + 5 - 5)*(3 + 2*d**4 - 3).
6*d**4
Expand (64*o**2 + 626*o - 626*o)*(2*o + 3*o - 3*o).
128*o**3
Expand (-59*q**2 + 62*q**2 + 13 - q**2 + 4*q)*(4*q - 2*q - 4*q).
-4*q**3 - 8*q**2 - 26*q
Expand (m - 3*m + 5*m)*(-25 + 3*m**2 + 3*m**4 + 25) + (-m**2 + 2*m**2 + 0*m**2)*(0*m + 2*m**3 + 0*m) + 3*m**5 - m**5 + m**5.
14*m**5 + 9*m**3
Expand (16 - 25 + 32)*(2 + 1 - 1)*(-3 - 3*m**2 + 3).
-138*m**2
Expand (-3 + 1 + 0)*(-4272*x**2 - 71*x**5 + 4272*x**2) + (0*x**4 + 5*x**4 - 3*x**4)*(2*x - 4*x + 3*x) + 2*x**5 + 2*x**4 - 2*x**4.
146*x**5
Expand (-2 - 4 + 5)*(2*k - 2*k + 3*k) - 34 + 19*k + 34 + (-1 + 0 + 0)*(-k - 4 + 4).
17*k
Expand 5*j**5 - 3*j**5 - 3*j**5 + (0*j**3 + 0*j**3 - 2*j**3)*(-j**2 - j**2 + 0*j**2) - 17*j**5 - 8*j**5 + 134*j**5.
112*j**5
Expand (0 + 0 + 2)*(-2*m + 6*m - 3*m)*(0*m + 0*m - m + (2*m + 2*m - 2*m)*(-7 + 1 + 1)).
-22*m**2
Expand (-9*f**2 - 7 - 6*f + 10*f - 7*f)*(2*f - f + 3*f).
-36*f**3 - 12*f**2 - 28*f
Expand (52*b**2 - 84*b**2 - 117*b**2)*(-b - b**3 + 0*b**3 + 3*b).
149*b**5 - 298*b**3
Expand (u**2 - u**2 - u**3)*(-u**2 + 0 + 0) + 2*u**5 - 3*u**2 + 3*u**2 - u**5 + 2 - 2 + u**5 - u + u + (4*u**3 - 6*u**3 + 0*u**3)*(7*u**2 - 7*u + 7*u).
-11*u**5
Expand (8*p + 7*p - 9*p)*(-2 + 11 - 3).
36*p
Expand (-4*b + 4*b - b**2)*(10*b + b - 4*b + 4*b - b - 4*b - 2*b + 2*b + 2*b + (1 - 4 + 1)*(-2*b - b + b))*(b + 2*b + 0*b).
-36*b**4
Expand (-1333 - 50*v + 1333)*(-1 - 4 + 6)*(-1 - 4 + 4).
50*v
Expand (20*v + 4*v**2 - 20*v + 3)*(v - 4*v + 7*v).
16*v**3 + 12*v
Expand -8 - 3*n**3 + 8 + 0*n**3 - 7*n**3 - 7*n**3 + (-1 + 2 + 0)*(0*n**2 + 0*n**2 - n**3).
-18*n**3
Expand (27*b + 8 - 5 - 4)*(b + 2*b - 2*b).
27*b**2 - b
Expand -4*g - 6*g + 6*g + (-g + 2*g - 2*g)*(7 - 11 - 6).
6*g
Expand (0*h + 0*h - 2*h**2) | {
"pile_set_name": "DM Mathematics"
} |
?
-2, -1
Suppose -3*l + 0*l + 9 = 0. Suppose 5*d = -5*c + 25, l*c - d - 2 + 7 = 0. Let -1 + y**3 + 3*y**2 + c*y - 2*y**2 - y = 0. What is y?
-1, 1
Let j(x) be the first derivative of 7*x**4/8 - 11*x**3/2 + 8*x**2 + 6*x + 63. Determine q so that j(q) = 0.
-2/7, 2, 3
Let u be (-2 + (-8)/(-6))*-3. Suppose x + 4*a + 12 = 5*x, 0 = u*a. Factor -1/7*c**2 + 0 + 2/7*c - 3/7*c**x.
-c*(c + 1)*(3*c - 2)/7
Let h = 1255 - 1248. Let v(r) be the second derivative of -2/15*r**6 + 0 - 1/5*r**5 + 13*r + 0*r**3 + 1/3*r**4 + 0*r**2 + 2/21*r**h. Factor v(o).
4*o**2*(o - 1)**2*(o + 1)
Let c = -61 + 64. Solve -z - 21*z**2 - 15*z**4 - 27*z**c - 5*z - 3*z**5 + 14 - 14 = 0.
-2, -1, 0
Let m = 206268/39665 + -2/7933. Find s such that m*s**2 + 14/5*s**4 - 6*s**3 - 2/5*s**5 + 0 - 8/5*s = 0.
0, 1, 4
Find q such that -35/2*q - 35/6*q**2 + 45/2 + 5/6*q**3 = 0.
-3, 1, 9
Let m be -11 + (14/9)/(166/1494). Factor 16/5*o**2 + 0*o + 0 + 4/5*o**m.
4*o**2*(o + 4)/5
Let c(y) be the first derivative of -1/6*y**4 + 0*y + 8/9*y**3 - 33 + 0*y**2. Suppose c(d) = 0. Calculate d.
0, 4
Let n(h) be the third derivative of 0*h + 9/2*h**3 - 15/8*h**4 - 10*h**2 - 1/40*h**6 + 7/20*h**5 + 0. Let n(w) = 0. What is w?
1, 3
Solve r + 2/3 + 1/3*r**2 = 0 for r.
-2, -1
Let b(t) be the first derivative of 3*t**6/40 + t**5/20 - t**4/3 - 2*t**3/3 + t**2/2 - 5. Let l(s) be the second derivative of b(s). Factor l(j).
(j - 1)*(3*j + 2)**2
Find d such that 13 + 5*d - 2*d**2 - 2*d**3 + 2*d**3 + d**5 - d**4 - 10 - 6*d**3 = 0.
-1, 1, 3
Let x(m) = 5*m - 15. Let w be x(5). Suppose 0 = f - 2*b - w, -3*f + 12 = -3*b - 6. Factor 0*r**2 + 0*r**f - r**2 + 9 - 5.
-(r - 2)*(r + 2)
Suppose 10 = -33*m + 38*m. Let h(g) be the first derivative of 0*g**m + 0*g - 2/39*g**3 + 3. What is d in h(d) = 0?
0
Let z = -42/73 + 944/1387. Factor 4/19*i + z*i**4 + 0 + 8/19*i**3 + 10/19*i**2.
2*i*(i + 1)**2*(i + 2)/19
Let t(f) = -f**3 - 6*f**2 - 10*f - 1. Let h be t(-2). Solve -33/2*o**4 + 15*o**2 + 15/2*o**5 - 21/2*o + 3*o**h + 3/2 = 0 for o.
-1, 1/5, 1
Solve -2/5 - 4/5*l - 6/5*l**4 + 4/5*l**3 + 8/5*l**2 = 0 for l.
-1, -1/3, 1
Let k(y) be the second derivative of -y**6/360 - 7*y**5/120 + 8*y**3/3 + 7*y. Let v(n) be the second derivative of k(n). Factor v(i).
-i*(i + 7)
Let h(c) = c**2 - 5*c - 11. Let q be h(7). Factor -32*x**2 + 128*x**3 - 6*x - 8*x + 3*x + 2 + q*x.
2*(4*x - 1)**2*(4*x + 1)
Let d(z) be the second derivative of 5*z**4/12 + 235*z**3/6 + 191*z. Suppose d(y) = 0. Calculate y.
-47, 0
Let y(p) be the third derivative of -p**8/21 + 2404*p**7/105 - 482401*p**6/120 + 812015*p**5/3 - 1003750*p**4/3 + 500000*p**3/3 + p**2 - 530. Factor y(d).
-(d - 100)**3*(4*d - 1)**2
Suppose 5*a = 20, -3*w + 2*a = 8 - 6. Let -2/3*s**w - 2/3 - 4/3*s = 0. Calculate s.
-1
Let p(c) = 4*c**4 + 6*c**3 + c**2 + 4*c. Suppose 2*r - 48 = -18. Let x(k) = k**4 + k**3 + k. Let t(d) = r*x(d) - 3*p(d). Suppose t(h) = 0. Calculate h.
-1, 0, 1
Let n(w) be the second derivative of -5/18*w**3 - 2/3*w**2 - 1/72*w**4 + 20*w + 0 + 1/120*w**5. Find b, given that n(b) = 0.
-2, -1, 4
Let c(h) = 56*h**2 - 328*h - 392. Let r(v) = -v**3 - 225*v**2 + 1308*v + 1568. Let g(y) = 18*c(y) + 4*r(y). Factor g(n).
-4*(n - 14)**2*(n + 1)
Let m = -97 - -101. Factor -2*w**4 - m + 6*w**2 + 21*w**3 - 34*w**3 - 2*w + 15*w**3.
-2*(w - 2)*(w - 1)*(w + 1)**2
Let a = 31 - 25. Let t be 16/20*3/a. Find h, given that 2/5 - 4/5*h - t*h**4 + 0*h**2 + 4/5*h**3 = 0.
-1, 1
Factor 1/4*q**3 - 17/2*q - 9/4*q**2 - 6.
(q - 12)*(q + 1)*(q + 2)/4
Let q(z) be the second derivative of z**5/20 + 19*z**4/12 + 56*z**3/3 + 96*z**2 - 332*z. Factor q(a).
(a + 3)*(a + 8)**2
Let h(d) be the first derivative of d**5/10 - d**4/4 - d**3/6 + d**2/2 + 28. Let h(w) = 0. What is w?
-1, 0, 1, 2
Let u(s) = -s**2 + s - 1. Let t(g) = -4*g**2 - 38*g - 40. Let x(p) = -2*t(p) + 4*u(p). Let x(h) = 0. What is h?
-19, -1
Let t(n) be the second derivative of -2*n + 1/30*n**5 + 1/9*n**4 + 4 + 1/9*n**3 + 0*n**2. Factor t(l).
2*l*(l + 1)**2/3
Let j(m) be the third derivative of 3*m**2 + 62/15*m**5 + 12/5*m**6 + 0 + 0*m**7 + 4/3*m**3 + 0*m + 19/6*m**4 - 9/28*m**8. Let j(y) = 0. What is y?
-1, -1/3, 2
Let w(o) be the first derivative of -1/2*o**3 + 12*o**2 + 29 - 96*o. Solve w(d) = 0.
8
Factor -5/2*f**3 - 10*f**2 + 0*f + 0.
-5*f**2*(f + 4)/2
Factor -27*z + 0 + 3/2*z**3 - 9/2*z**2.
3*z*(z - 6)*(z + 3)/2
Factor -4*j**3 + 1494 + 336 + 164*j**2 - 230 - 1760*j.
-4*(j - 20)**2*(j - 1)
Suppose 3*f + g = -g + 4, -2*f - 8 = 4*g. Let j be f*1*9/12. Factor 4*y**3 - 4*y - 3*y**3 + j*y**3 + y**4 - 4 + 3*y**2 + 0.
(y - 1)*(y + 1)*(y + 2)**2
Let m be (-13 + 1 - -12)/21. Suppose -2/5*c**3 + 0 + m*c + 2/5*c**2 = 0. What is c?
0, 1
Let n(d) be the third derivative of d**5/180 + 133*d**4/36 + 17689*d**3/18 - 667*d**2. Factor n(x).
(x + 133)**2/3
Let b(o) = -o**2 + 10*o - 19. Let t be b(7). Let a be (8/48)/(t/6)*0. Factor a*s + 0*s**3 + 2/3*s**2 - 1/3 - 1/3*s**4.
-(s - 1)**2*(s + 1)**2/3
Let k(y) = y**5 + 2*y**4 + y**3 - 2*y**2 - 2. Let c(r) = 2*r**5 - r**4 - r**3 + 4*r**2 + r - 5. Let h(m) = c(m) - k(m). Factor h(f).
(f - 3)*(f - 1)**2*(f + 1)**2
Let w(m) = m**4 - 8*m**3 + 3*m**2 - 6*m. Let l(y) = -3*y**4 + 20*y**3 - 7*y**2 + 14*y. Let a(p) = -3*l(p) - 7*w(p). Determine g so that a(g) = 0.
0, 2
Let c(q) = 5*q**2 - 288*q + 12165. Let n(h) = -9*h**2 + 584*h - 24331. Let z(g) = -10*c(g) - 6*n(g). Factor z(o).
4*(o - 78)**2
Let 2/7*w**5 - 8/7*w**4 + 46/7*w + 20/7 + 20/7*w**2 - 16/7*w**3 = 0. Calculate w.
-1, 2, 5
Let o(t) be the first derivative of 6*t - 24 + 5/2*t**2 + 1/3*t**3. Factor o(h).
(h + 2)*(h + 3)
Suppose -19*w + 453 = -1998. Let d = w + -126. Solve 0 + 2/5*v - v**d - 3/5*v**2 = 0 for v.
-1, 0, 2/5
Let r = -1328 - -1328. Let m(k) be the third derivative of 0*k**6 + 0*k**4 + 1/90*k**5 - 1/315*k**7 + 0*k**3 + 11*k**2 + r + 0*k. Solve m(u) = 0 for u.
-1, 0, 1
Suppose 5*l + 3*g = -17, -4*g = -4*l - 5*g - 15. Let y be ((-21)/(-28))/((-3)/32*l). Find w such that -3/5*w + 3/5*w**y + 0 = 0.
0, 1
Let y be (-87)/(-207) - ((-2)/30 + 28/70). Solve -4/23*s + 0 + 2/23*s**2 + y*s**3 = 0.
-2, 0, 1
Let -13 + 14*x + x**2 - 33*x - 13 - 6*x = 0. Calculate x.
-1, 26
Suppose -4*k + 40 = -9*k. Let z be 30/7 + k/28. Suppose -15*i**3 - 2*i**4 - 10*i + 17*i**3 + 6*i**2 + 0*i + z = 0. What is i?
-2, 1
Factor 23/4 - 1/4*a**3 - 23/4*a**2 + 1/4*a.
-(a - 1)*(a + 1)*(a + 23)/4
Suppose 19*r - 539 = -58*r. Suppose -5*i - n + 12 = -i, -2*i + 6 = 4*n. Factor 4*b**4 + b**2 + b**2 - 3*b**2 - b**5 - 3*b**i - r*b**4.
-b**2*(b + 1)**3
Let l = -437659/505 - 217/101. Let i = l - -876. Find z, given that -28/5*z**2 + 4/5*z**5 + i*z**3 - 4*z**4 + 8/5*z + 0 = 0.
0, 1, 2
Suppose -8*q - 26*q**3 - 8/9 - 8*q**4 - 214/9*q**2 = 0. What is q?
-2, -2/3, -1/3, -1/4
Let x(g) = 2*g**3 - 104*g**2 + 70*g + 38. Let m(f) = 2*f**3 - 208*f**2 + 140*f + 77. Let o(u) = 6*m(u) - 11*x(u). Factor o(s).
-2*(s - 1)*(s + 11)*(5*s + 2)
Let m(s) be the first derivative of 4*s**5/35 - 16*s**3/21 - 78. Find i, given that m(i) = 0.
-2, 0, 2
Let n(g) = -g**2 - 35*g + 4. Let a be n(-35). Let u(p) be the second derivative of 5/4*p**a + 2*p + 0 - p**3 + 0*p**2. Let u(h) = 0. Calculate h.
0, 2/5
Let s = -9/86 + 221/1290. Let k(p) be the third derivative of s*p**3 + 0*p + 1/150*p**5 - 1/30*p**4 + 0 + 7*p**2. Factor k(r).
2*(r - 1)**2/5
Let c(v) be the first derivative of -15*v**4/16 + 11*v**3/4 - 3*v**2/4 + 59. Determine u, given that c(u) = 0.
0, 1/5, 2
Let s be 0/(-1)*(-197)/591. Determine l, given that s + 96/7*l**2 + 2/7*l**4 - 26/7*l**3 - 72/7*l = 0.
0, 1, 6
Let 0 + 2/5*l**3 + 0*l + 24/5*l**2 = 0. Calculate l.
-12, 0
Let w = -152/15 - -34/3. Let s = -90 - -93. Determine z, given that 8/5*z**s - w*z**2 - 2/5*z**4 + 8/5 - 8/5*z = 0.
-1, 1, 2
Let z(i) = i**2 + 2*i + 5. Let o be z(-7). Suppose 3*d + 2*d = o. Solve 4 + 4*m**2 + m**2 - m**2 + d*m = 0.
-1
Let m(j) be the third derivative of 0*j + 7/30*j**6 + 0 + 13/6*j**4 + j**5 + 8/3*j**3 + 2/105*j**7 + 24*j**2. Suppose m(o) = 0. Calculate o.
-4, -1
Let d(v) be the third derivative of 0*v**3 + 0*v + 1/270*v**5 + 5/108*v**4 + 0 + 38*v**2. Factor d(y).
2*y*(y + 5)/9
Let w(m) be the third derivative of -1/24*m**3 + 1/1680*m**7 + 0 - 1/160*m**5 + 0*m + 2*m**2 + 5/192*m**4 - 1/960*m**6. Factor w(q).
(q - 1)**3*(q + 2)/8
Let f = -9 + 9. Let d be -2 - (f - -1 - 9). Solve 2*z**2 + z**2 + 0 | {
"pile_set_name": "DM Mathematics"
} |
m in 14, 20, 26?
32
What is next in 16, 17, -4, -53, -136?
-259
What is the next term in 62, 80, 102, 122, 134, 132, 110, 62?
-18
What is the next term in 1081, 2162, 3243, 4324, 5405, 6486?
7567
What is the next term in -1440, -2881, -4322?
-5763
What comes next: -43, -51, -65, -85, -111?
-143
What comes next: 410, 408, 406?
404
What comes next: -22, -87, -192, -337, -522, -747, -1012?
-1317
What comes next: 11, -21, -67, -121, -177, -229, -271?
-297
What comes next: -5, 42, 119, 226, 363, 530?
727
What is next in 1035, 1042, 1049, 1056?
1063
What is next in -277, -315, -355, -397?
-441
What comes next: -1578, -3155, -4732, -6309?
-7886
What is the next term in -720, -1434, -2148, -2862, -3576, -4290?
-5004
What is next in 1940, 1938, 1936, 1934, 1932?
1930
What is the next term in -9828, -9827, -9826, -9825?
-9824
What is next in 1935, 1934, 1933?
1932
What is next in -18, -66, -146, -258?
-402
What is the next term in 2210, 2217, 2234, 2267, 2322, 2405, 2522?
2679
What is next in -13, -52, -161, -376, -733, -1268?
-2017
What is the next term in -11, -83, -285, -683, -1343?
-2331
What is the next term in -16, -20, -22, -22, -20?
-16
What comes next: -9, -17, -27, -39, -53?
-69
What is the next term in 37, 49, 67, 91, 121, 157, 199?
247
What comes next: -3774, -7550, -11326, -15102, -18878, -22654?
-26430
What is the next term in 10, 29, 60, 103, 158, 225, 304?
395
What comes next: 394, 778, 1162, 1546, 1930?
2314
What is the next term in 127, 503, 1131, 2011, 3143, 4527?
6163
What comes next: -45, -83, -121?
-159
What comes next: -82, -86, -90?
-94
What is the next term in -3193, -3194, -3195, -3196, -3197?
-3198
What comes next: -743, -755, -767?
-779
What is next in -68, -294, -904, -2090, -4044, -6958, -11024?
-16434
What is next in -88, -182, -264, -328, -368, -378?
-352
What is the next term in -5, 10, 51, 130, 259, 450, 715, 1066?
1515
What comes next: 171, 341, 511, 681?
851
What comes next: 125, 559, 1277, 2273, 3541, 5075, 6869, 8917?
11213
What is the next term in 180, 374, 578, 792, 1016, 1250, 1494?
1748
What comes next: -89, -88, -89, -92, -97?
-104
What comes next: -1619, -1654, -1701, -1766, -1855, -1974, -2129?
-2326
What comes next: -511, -510, -509?
-508
What comes next: 476, 474, 470, 464, 456, 446?
434
What is the next term in -103, -101, -99, -97?
-95
What is the next term in -457, -456, -455, -454?
-453
What comes next: 57, 237, 537, 957, 1497?
2157
What comes next: -11, -75, -191, -365, -603, -911?
-1295
What comes next: 2093, 2098, 2099, 2090, 2065, 2018, 1943, 1834?
1685
What is the next term in 1594, 3184, 4774?
6364
What comes next: -172, -359, -560, -781, -1028, -1307, -1624?
-1985
What is the next term in 5, 46, 101, 176, 277?
410
What is the next term in -144, -192, -240?
-288
What is next in 28, 23, 28, 55, 116, 223?
388
What is the next term in -81, -139, -259, -471, -805?
-1291
What is next in 57, 74, 101, 138?
185
What is next in 131, 140, 155, 176, 203?
236
What is the next term in -54, -116, -184, -258, -338?
-424
What is next in -259, -255, -225, -163, -63, 81, 275, 525?
837
What is the next term in -40, -29, -4, 41, 112, 215?
356
What is the next term in 0, 28, 54, 78?
100
What is the next term in -3735, -3729, -3721, -3711, -3699, -3685, -3669?
-3651
What is next in 1032, 1038, 1046, 1056, 1068?
1082
What is the next term in 40, 205, 480, 865, 1360?
1965
What is next in 131, 530, 1187, 2096, 3251, 4646, 6275, 8132?
10211
What is next in -1, 6, 17, 32?
51
What is the next term in -2, -13, -32, -59?
-94
What is the next term in -542, -538, -536, -542, -562, -602?
-668
What is next in 4405, 4407, 4411, 4417, 4425, 4435, 4447?
4461
What comes next: -533, -520, -507, -494, -481, -468?
-455
What is the next term in 841, 836, 829, 820, 809?
796
What is next in 17, 31, 39, 41, 37?
27
What is next in -17, -35, -49, -59, -65, -67, -65?
-59
What comes next: -1078, -1061, -1044, -1027?
-1010
What is the next term in -73, -79, -85?
-91
What is next in -9, -20, -35, -54, -77, -104?
-135
What comes next: 5438, 5439, 5440, 5441, 5442?
5443
What comes next: 7670, 7661, 7640, 7601, 7538, 7445, 7316, 7145?
6926
What comes next: -18, -26, -38, -54, -74?
-98
What is next in 22, 76, 168, 298, 466, 672?
916
What is the next term in 3, -10, -27, -48, -73?
-102
What comes next: 4142, 4143, 4144, 4145?
4146
What is the next term in -401, -486, -627, -824?
-1077
What comes next: -13, -18, -9, 20, 75, 162?
287
What is the next term in 36, 48, 74, 120, 192?
296
What is next in -13, -75, -179, -325, -513, -743?
-1015
What is next in -27, -3, 43, 117, 225, 373?
567
What is the next term in -268, -528, -780, -1024?
-1260
What comes next: 23407, 23406, 23405, 23404?
23403
What is next in -3080, -3078, -3076, -3074?
-3072
What comes next: 7142, 14282, 21422, 28562, 35702?
42842
What is next in -34, -31, -24, -13, 2, 21, 44?
71
What is the next term in 7, -9, -43, -95, -165, -253?
-359
What is the next term in 71, 275, 611, 1073, 1655, 2351, 3155?
4061
What comes next: -301, -597, -887, -1171, -1449?
-1721
What is next in -8598, -17196, -25784, -34356, -42906, -51428, -59916?
-68364
What comes next: 93, 92, 91?
90
What comes next: -31, -25, -17, -7, 5, 19?
35
What comes next: 53, 59, 67, 77, 89, 103?
119
What is the next term in 32036, 64071, 96106?
128141
What comes next: -743, -728, -713, -698?
-683
What comes next: 363, 741, 1119, 1497, 1875?
2253
What comes next: 65, 73, 93, 131, 193, 285, 413?
583
What is next in 68, 70, 72, 74, 76?
78
What is next in -46, -74, -100, -130, -170, -226, -304, -410?
-550
What is the next term in 104, 97, 84, 65?
40
What is next in -5, 27, 127, 331, 675?
1195
What is next in 144, 142, 138, 132, 124?
114
What comes next: -1843, -1841, -1839, -1837, -1835?
-1833
What comes next: -13448, -26898, -40348, -53798?
-67248
What is the next term in -263, -262, -261, -260?
-259
What is next in -13, -8, -13, -34, -77, -148?
-253
What is next in -26, -75, -154, -263, -402?
-571
What comes next: 45, 30, 15?
0
What comes next: 309, 318, 333, 354?
381
What is the next term in -20, -38, -16, 88, 316, 710?
1312
What is next in -1, -2, -15, -46, -101, -186, -307, -470?
-681
What comes next: -11, -10, 13, 70, 173, 334?
565
What comes next: 21, 24, 41, 78, 141, 236, 369, 546?
773
What is next in 2154, 2153, 2152?
2151
What comes next: -7, -59, -195, -457, -887, -1527, -2419, -3605?
-5127
What is next in 105, 431, 975, 1737, 2717, 3915?
5331
What comes next: -3471, -6930, -10387, -13842, -17295, -20746?
-24195
What is the next term in -13, -19, -31, -55, -97, -163, -259, -391?
-565
What comes next: -74, -78, -82, -86, -90?
-94
What is next in 1106, 1102, 1096, 1088, 1078, 1066, 1052?
1036
What is next in 30, 60, 92, 126, 162, 200, 240?
282
What comes next: 659, 1307, 1953, 2597?
3239
What comes next: 178, 189, 216, 265, 342, 453, 604, 801?
1050
What comes next: 1669, 3336, 5003, 6670, 8337, 10004?
11671
What is next in -35, -169, -385, -677, -1039, -1465, -1949, -2485?
-3067
What is next in 318, 320, 308, 276, 218, 128, 0?
-172
What comes next: -37, -34, -17, 20, 83, 178?
311
What is next in -29, -18, 9, 58, 135, 246, 397, 594?
843
What is next in -354, -352, -348, -342, -334, -324?
-312
What is the next term in 79, 142, 225, 322, 427?
534
What is the next term in -255, -273, -293, -315?
-339
What is next in 19, 50, 81, 112, 143?
174
What is next in -163, -161, -159?
-157
What comes next: 34, 51, 58, 55, 42, 19, -14?
-57
What is the next term in -84, -85, -86, -87?
-88
What is next in 69, 140, 217, 306, 413, 544?
705
What comes next: -11, -17, -23?
-29
What is next in -251, -242, -229, -212?
-191
What comes next: 38, 33, 20, -7, -54, -127?
-232
What is the next term in -1575, -1577, -1581, -1587, -1595, -1605?
-1617
What is next in -1968, -1964, -1950, -1920, -1868, -1788, -1674, -1520?
-1320
What is next in -460, -920, -1380, -1840?
-2300
What comes next: 3, 14, 27, 36, 35, 18, -21?
-88
What is next in -32, -30, -30, -32?
-36
What comes next: -189, -361, -537, -717, -901, -1089, -1281?
-1477
What is next in -7, -13, -35, -73?
-127
What comes next: 383, 739, 1097, 1457, 1819?
2183
What comes next: 49, 51, 63, 91, 141, 219, 331?
483
What is next in 530, 530, 520, 494, 446, 370, 260?
110
What is the next term in 284, 283 | {
"pile_set_name": "DM Mathematics"
} |
4159242 = -12*f. Is f a composite number?
False
Let a(t) = -t**2 - 21*t - 52. Let i be a(-3). Is (i/(-1))/(62/(-16151)) a composite number?
False
Let t(l) = -2*l**3 + 4*l**2 + 7*l - 10. Let d = -342 + 334. Is t(d) a composite number?
True
Is (-1)/(-4) - -266745*8/96 composite?
False
Suppose 2 + 1 = -3*k, z = -5*k - 161. Let x be (508 - 1) + -4 + (7 - -1). Let a = x - z. Is a a composite number?
True
Let h = 117167 + 79262. Is h a composite number?
False
Let o be (-5)/((-15)/(-3)) + 4. Suppose -o*u = 1 - 7. Is u/6 - 7998/(-9) a prime number?
False
Let l(q) be the second derivative of 2477*q**5/20 - q**4/6 - q**3/3 + q**2 + 13*q. Let m be l(1). Suppose 290 = 5*x - m. Is x a prime number?
False
Let z be (-581)/(-1) - (2 + -6). Suppose -10 + z = 5*x. Let v = 90 + x. Is v prime?
False
Let t = 664 - 930. Let m = 491 - t. Is m prime?
True
Is (-66)/792 - 58045/(-12) a composite number?
True
Is (-50782)/(-6)*(90 - 69) prime?
False
Suppose 0 = 66*r - 64*r - 1042. Is r*6/(6 + 0) composite?
False
Let x(l) be the third derivative of 34*l**5/15 + l**4/12 + 23*l**3/6 - 9*l**2 + 2*l. Is x(-5) prime?
True
Let y = -25974 + 179585. Is y a composite number?
False
Let t be -1 + (-65)/(-75) - (-10264)/30. Let q = -2600 - t. Is (-26 + 23)*q/6 a prime number?
True
Let l be (5 + (-2)/2)*20/16. Suppose -2*q = l*q - 21217. Is q a prime number?
False
Let u be 144/648 - (-874105)/9. Suppose u = 4*x + 3*o - 12507, -4*o - 54826 = -2*x. Is x a composite number?
False
Suppose -25054 = 15*v - 218239. Suppose -f + g + g = -v, -2*g - 25760 = -2*f. Is f prime?
False
Is (-8555382)/(-26) - (-6 - 640/(-104)) prime?
True
Let v = -7958 - -10017. Is v a composite number?
True
Suppose u + 7*u = -512. Let d = 16 - u. Is ((-420)/d)/((-2)/8) prime?
False
Let o be (1/(-1))/(12/(-60)). Suppose 0 = -o*d + 2*i - 8, i + 4 = -d + 2*i. Suppose -5*k + 5990 + 9335 = d. Is k a prime number?
False
Suppose -53*v + 3*i + 63535 = -52*v, 0 = -3*i - 12. Is v composite?
True
Suppose -v + 28036 + 14748 = 3*r, r + 171201 = 4*v. Is v a composite number?
True
Let u(h) = -55*h**3 - 3*h**2 - 2*h + 1. Let z be u(-1). Is ((-22)/z)/((12/225410)/(-3)) a prime number?
True
Is 8654/4*(9/(-6) - 95/(-2)) a composite number?
True
Let k = -145 - -207. Is 337156/k - (-2)/(-2) a composite number?
False
Let u(x) = -5*x**3 + x**2 - 2*x - 3. Let v be u(-1). Suppose v*d - 1137 = -t, 2*t - 541 = 3*d + 1798. Suppose t = -5*a + 4067. Is a a composite number?
True
Let j = 175 + -170. Suppose 0 = -j*s + t + 9924, 5954 = 5*s - 2*s - t. Is s composite?
True
Let f(o) be the first derivative of o**2 - 34*o - 2. Let v be f(19). Suppose -946 = -2*s - 2*s + 3*z, 2*z = -v. Is s prime?
False
Is (4 + -3)*16/(208/4525001) composite?
False
Suppose -2*q + 266 = -5*f - 376, 4 = f. Let g = -8 - -54. Let d = q + g. Is d composite?
True
Let j(r) be the first derivative of -24 - 13*r - 1/3*r**3 + 1/4*r**4 - 3*r**2. Is j(6) composite?
False
Is (286383/(-4))/(361/(-76) - -4) a prime number?
True
Suppose 4*n - 3*c - 2*c - 100935 = 0, -2*n - 2*c + 50472 = 0. Let s = -15228 + n. Is s a composite number?
False
Suppose -7 = -5*l - 2*c, -12*c = -14*c - 8. Suppose 0 = l*x - 1669 - 998. Is x prime?
False
Suppose 0 = -3*u - 4*f + 103183, 2*u = 23*f - 22*f + 68785. Is u a composite number?
True
Let i = -268 - -293. Is (-5494)/(-5) + -2 + 5/i prime?
True
Let s = 106980 + -14101. Is s composite?
True
Let f = 266651 + -184264. Is f a prime number?
True
Is (1/1*1)/(12/3815436) a prime number?
False
Let h(s) = -401*s + 27. Let t = 34 - 29. Let f(r) = 601*r - 40. Let w(m) = t*f(m) + 8*h(m). Is w(-9) composite?
True
Let m = -81428 + 231745. Is m composite?
True
Suppose -5*m + 394 = 29. Suppose 114 = q - 5. Let f = q - m. Is f a prime number?
False
Let b(t) = -3*t**3 + 7*t**2 + 29*t - 110. Is b(-21) a prime number?
False
Suppose -9*a = -125880 - 68760 + 2733. Is a prime?
True
Let q = 1525 - -422. Let f = q + -1262. Is f composite?
True
Let h(i) = 1869*i + 1292. Is h(3) a prime number?
True
Suppose 4*p - 2*t - 20 = 0, 5*p = -5*t - 4 - 1. Let s(d) = 7*d**p - 4 - 2*d**2 - 10 - 4*d + 9 + 11*d**3. Is s(6) a prime number?
False
Suppose 4*c + q = 5*q + 18892, 0 = -c - 2*q + 4711. Suppose -2*j = -u + c, -j = u - 2242 - 2480. Is u composite?
False
Let r be 369*22 + 7/7. Suppose 4*a + h - 7285 = 3531, 3*a - h = r. Is a prime?
False
Let a = 9499 - 4774. Suppose 5*d = 4*i + 2084 + a, 2*i + 2724 = 2*d. Is d prime?
True
Let q = 499 - 74. Suppose 13*b + 342 = -q. Let r = b + 270. Is r composite?
False
Suppose 3*h - 379 = -70. Let k = 694 + h. Is k prime?
True
Let i = 123 + -217. Let h = 63 - i. Is h prime?
True
Let b(g) = g**2 - 2*g + 1. Let t(n) = -129*n**2 - 22*n + 36. Let h(d) = 5*b(d) - t(d). Is h(-6) a prime number?
True
Suppose g - 23276 - 31995 = 4*r, -2*r = -4*g + 221154. Is g a prime number?
True
Suppose -2*n - 22 = -2*h, -2 - 33 = -3*h + n. Suppose -5005 = h*z - 16513. Is z prime?
False
Let o(y) be the third derivative of -y**6/120 - 9*y**5/20 - y**4/24 - y**3/3 - 2*y**2 + 19. Is o(-29) a prime number?
True
Let s be 42/(-7)*(-18)/12. Suppose 0 = -7*m - s*m + 18608. Is m composite?
False
Let y be -1 - 9*((-52)/(-12) + -5). Let m = 7115 - 77. Suppose m = y*r + 1843. Is r a composite number?
False
Suppose 0*j - 139 = -j - 5*u, -4*j = -2*u - 600. Let f(s) = 24*s**2 + 5*s + 3. Let h be f(5). Let z = h - j. Is z a prime number?
True
Let o(d) = d**3 - 6*d**2 - 7*d + 1. Let a be o(7). Let k be a/(-2)*(-1 - -3). Is 0 - (-3 - k) - (-634 - -2) a prime number?
False
Suppose 8*l - 28718462 = -30*l. Is l prime?
False
Let l(q) = -q**3 - 2*q + 5153. Suppose -2*y - 3*w - 2*w = 244, -5*w = -4*y - 458. Let d = 117 + y. Is l(d) prime?
True
Suppose 0 = -5*k + 5 + 5. Suppose 1095 = -u + 2*u - 5*h, -2*u = k*h - 2214. Suppose -2*t = -y - u, 0*y - 3*y = -4*t + 2209. Is t a composite number?
True
Is (-4595154)/(-12) + (-1)/(3 - (-91)/(-35)) a composite number?
True
Let o = 18 - 14. Suppose w = -q + 3, 3*q - 3 = -o*w + 10. Is (q/(-2 - 1))/((-20)/(-20820)) prime?
True
Suppose 16*l = 21*l + 1695. Let g = 1005 - -277. Let f = g + l. Is f composite?
True
Let i(x) = 77*x + 161*x + 595 - 620. Is i(15) prime?
False
Let b = -46 - -213. Let i = 1456 + b. Is i composite?
True
Let b(n) = n**3 - 2*n**2 - 3*n + 8. Let c be b(2). Is (c + -5905)/((-2)/4*2) a prime number?
True
Suppose -4*r - l = 2*l - 24, 0 = -2*r + 4*l + 34. Is 124571/r + 6/(-27) composite?
False
Let r = -702 - -705. Suppose -f = r*s - 12412, 49681 = 4*f - 6*s + 7*s. Is f composite?
False
Suppose -75*r = 26*r - 834563. Is r composite?
False
Let u be 723/18 + (-14)/84. Suppose 20205 = 5*t - 4*g, -45*t + u*t = 4*g - 20165. Is t prime?
False
Let m(x) = -47273*x - 4088. Is m(-5) a prime number?
False
Let n = 17 - 52. Let s be (-29247)/(-7) - (-5)/n. Suppose 2*x - 11*l - 1672 = -9*l, 5*x - 3*l = s. Is x prime?
False
Let q be (-62592)/42 - (-4)/14. Let t = 5263 - q. Is t composite?
True
Suppose 2*n - 4*r = 2940, -3*n + 3*r = 2415 - 6819. Let x = n - -540. Suppose -x = -3*v + j, 2*j = v - 3*j - 692. Is v a composite number?
True
Let z(w) = -w**2 - 18*w - 41. Let t be z(-15). Suppose -t*f + 13*l + 21724 = 15*l, 3*l - 27155 = -5*f. Is f a prime number?
True
Let r(h) = h**3 - 7*h**2 + 6*h + 3. Let u be r(6). Let t be (-10)/((-280)/2364) + 8/14. Is ((2 - u)*-7)/(5/t) a prime number?
False
Let r(l) = l**3 + 5*l**2 + 4*l + 32. Let x be r(-5). Let z(d) = 81*d + 77. Is z(x) a composite number?
False
Let u(p) = -14 + 0 + 220*p - 9 - 8 - 2026*p. Is u(-5) composite?
False
Let j(h) = 16705*h**2 - 15*h - 41. Is j(-3) a composite number?
True
Suppose 43*j = 48*j - 2870. Is 0 + (-3 + j)*(-6)/(-6) a composite number?
False
Let h(t) = 529*t - 117. Let l be h(-4). Let y = 7934 + l. Is y prime?
True
Let o be (-8)/(-8) - (-1)/1. Let x be (-5)/o + 21/(-2). Is (1/(-3))/(x/21567) a prime number?
False
Let x(s) be the second derivative of 13*s**3/2 - 67*s**2/2 + 3283*s. Let u(r) = 3*r - 2. Let b be u(6). Is x(b) a composite number?
False
Let c = 110 - 106. Suppose -4*x + 561 = -3*r, 7*r + 560 = c*x + 3*r. Is x a prime number?
False
Suppose 25163591 - 19352025 = 18*p - 29249032. Is p a composite number?
False
Let v(l) = -6*l**3 - l**2 - l - 1. Let s be v(-1). Suppose -s*b + 1 = -39. Is (8/(-12))/(b/(-2652)) prime?
False
Let a = -76280 + 209583. Is a a composite number?
False | {
"pile_set_name": "DM Mathematics"
} |
4
In base 12, what is -2 + 3816aa15?
3816aa13
In base 3, what is -201220111 + -12000200?
-220221011
In base 9, what is 116 - -208471?
208587
In base 4, what is -10 - 20233323001?
-20233323011
In base 10, what is -14283 + 3662?
-10621
In base 4, what is -20112 - -132?
-13320
In base 3, what is 111101 - -10000212022?
10001100200
In base 13, what is 5204 - -7081?
c285
In base 7, what is -1150165 - -2226?
-1144636
In base 13, what is -172c + 441?
-12bb
In base 4, what is -1002232130 + 1303?
-1002230221
In base 2, what is -1110 - 10101100010100011100?
-10101100010100101010
In base 3, what is 20222210201211 - 21?
20222210201120
In base 14, what is 9 + 8211b2?
8211bb
In base 5, what is -112340 - -33230?
-24110
In base 6, what is -423551 + -1334?
-425325
In base 15, what is 9c65 + 99?
9d0e
In base 9, what is -3 + 56477871?
56477867
In base 12, what is -2485 - -3356?
a91
In base 11, what is 1064 - 114a6?
-10442
In base 15, what is 14 - 4e9b45?
-4e9b31
In base 14, what is 40 + c254?
c294
In base 8, what is 11420 + 6540?
20160
In base 9, what is 403517 - -108?
403626
In base 8, what is 1104251545 + 3?
1104251550
In base 4, what is -11002003 - -3022?
-10332321
In base 11, what is 11211a - -117?
112236
In base 14, what is -18d - 1022784?
-1022933
In base 11, what is 598 - -22394?
22981
In base 10, what is -240 - 364297?
-364537
In base 4, what is 213 + -1001333120?
-1001332301
In base 4, what is -231 - -13032310023?
13032303132
In base 6, what is 25102513550 + -3?
25102513543
In base 2, what is -10 + -1000101110010010101110?
-1000101110010010110000
In base 13, what is b + 4a6945b?
4a69469
In base 2, what is -1001100001 - -11100010100?
10010110011
In base 16, what is -1d03 - -4229?
2526
In base 13, what is 6 - -945a1?
945a7
In base 8, what is -1627315223 + 3?
-1627315220
In base 15, what is 873b0 - -b?
873bb
In base 8, what is 25045014 + -5?
25045007
In base 4, what is -2233013 + 2122230?
-110123
In base 16, what is 4b62 - 238d?
27d5
In base 11, what is -89244 - 5151?
-93395
In base 13, what is 85bb6c + -9b?
85baa1
In base 12, what is 48 + -23433b6?
-234336a
In base 16, what is -762 - -4a75?
4313
In base 6, what is -13523 - -20035551?
20022024
In base 13, what is 51c29 - 118?
51b11
In base 2, what is -1110011 - 1011000010111000000100?
-1011000010111001110111
In base 3, what is 1201210211112 - 22?
1201210211020
In base 12, what is -2222991 - -3?
-222298a
In base 4, what is 3 + 22002333331?
22003000000
In base 5, what is 2221 + -30111301?
-30104030
In base 9, what is -22 + -13773241?
-13773263
In base 5, what is 110110 - -24004311?
24114421
In base 7, what is -62040110 + -34?
-62040144
In base 16, what is -73df8 + 3?
-73df5
In base 9, what is 5 - 33311558?
-33311553
In base 5, what is -101 - -121004033?
121003432
In base 10, what is -55638781 + 2?
-55638779
In base 13, what is 10 + 246a249?
246a259
In base 15, what is 6 + -206836?
-206830
In base 5, what is 31 + -20133010?
-20132424
In base 9, what is -37011 + 66?
-36834
In base 5, what is -11 + 111201144?
111201133
In base 4, what is 320122212 - 100001?
320022211
In base 4, what is -32120300 - 23323?
-32210223
In base 12, what is 496 - 238a46?
-238570
In base 8, what is -2 + 754557162?
754557160
In base 11, what is -145157 + -58?
-145204
In base 3, what is 10221001 + 2212122?
20210200
In base 13, what is 131177a - 70?
131170a
In base 15, what is -19 - 45dc5?
-45dde
In base 16, what is -26 - -355381?
35535b
In base 14, what is -c45b7ab + 4?
-c45b7a7
In base 16, what is -a - -a046d?
a0463
In base 3, what is 2 + 210202121002212211?
210202121002212220
In base 13, what is -136531c4 - -1?
-136531c3
In base 16, what is -c8e9 + -295?
-cb7e
In base 7, what is 5 - -210366232?
210366240
In base 7, what is -1220265 + 1153?
-1216112
In base 10, what is 1 - 1391901?
-1391900
In base 11, what is -52384 + 3?
-52381
In base 2, what is 111000 - 110000101110011001?
-110000101101100001
In base 16, what is -4c895b89 - -3?
-4c895b86
In base 3, what is -1121 + 121021000000221?
121020222222100
In base 5, what is 23344231304 - 32?
23344231222
In base 9, what is -10401527246 - 5?
-10401527252
In base 14, what is 79d9985 + 4?
79d9989
In base 8, what is -520262 - -7?
-520253
In base 9, what is -3 + 24070150?
24070146
In base 3, what is -20021 + 1210002121101?
1210002101010
In base 5, what is 122403 - 110304?
12044
In base 7, what is -210 - -1605160?
1604650
In base 16, what is -b75114f + -1?
-b751150
In base 11, what is -5aa762 - -117?
-5aa646
In base 3, what is 1221 + 1012121112?
1012200110
In base 10, what is -264537 + -4?
-264541
In base 12, what is -113 + 4739b?
47288
In base 4, what is -13301033322121 - -3?
-13301033322112
In base 13, what is -2b + 24a3c5?
24a397
In base 7, what is 45 + -2156616?
-2156541
In base 6, what is 143 - 3054401?
-3054214
In base 15, what is 32d4ee + 5?
32d504
In base 5, what is 323 - 10020224?
-10014401
In base 4, what is -3222300 + -1000331?
-10223231
In base 14, what is 18095 - 333?
17b62
In base 12, what is 437549 + -7?
437542
In base 8, what is 204130 + -250?
203660
In base 13, what is 16b28022 - -1?
16b28023
In base 13, what is -10b0 - -641a3?
630c3
In base 3, what is -11220 - -20221211012221?
20221211001001
In base 2, what is 1101001100111011 + 1100101101110?
1110110010101001
In base 3, what is 1220 + 1112102222211?
1112110001201
In base 14, what is -2c3 + -b2c14?
-b30d7
In base 10, what is 4 - -31438258?
31438262
In base 14, what is 6d3d3987 + -5?
6d3d3982
In base 16, what is 29ca934 - 3?
29ca931
In base 7, what is 15153315 - 251?
15153034
In base 4, what is -2 - -1010232212012?
1010232212010
In base 16, what is d6 + -e9899?
-e97c3
In base 9, what is 4 - -121720107?
121720112
In base 6, what is 23321554 + -421?
23321133
In base 7, what is 161102320 - 2?
161102315
In base 13, what is 1006 + -4b637?
-4a631
In base 2, what is 1010000101110101000111110100 + -101?
1010000101110101000111101111
In base 13, what is 5 + 668508?
668510
In base 10, what is -2 + -23900461?
-23900463
In base 11, what is -1 + -4a80493?
-4a80494
In base 13, what is 4 + -18057292?
-1805728b
In base 6, what is 5200120 + 512?
5201032
In base 5, what is 3424 - -30032432?
30041411
In base 7, what is 1320506 - 13?
1320463
In base 4, what is -10310312112 - 11?
-10310312123
In base 5, what is -223 + -14423023?
-14423301
In base 13, what is -3 - 12786b?
-127871
In base 16, what is 15d91c3 - -3?
15d91c6
In base 12, what is -127 + -3a30?
-3b57
In base 5, what is -2010 - -2040021?
2033011
In base 15, what is 0 - d04ce10?
-d04ce10
In base 2, what is 1 - 11101000100000111010111?
-11101000100000111010110
In base 5, what is 132 + 143341030?
143341212
In base 12, what is -361 + -21a23?
-22184
In base 15, what is 31d7943 - -a?
31d794d
In base 4, what is 20012002301 - -2302?
20012011203
In base 10, what is 197 + 108606?
108803
In base 14, what is -5 + -105386?
-10538b
In base 8, what is 1 + -34441441?
-34441440
In base 15, what is -7 + 1222198?
1222191
In base 8, what is -140 - 2246444?
-2246604
In base 11, what is -4 + 1587361?
1587358
In base 11, what is 4 - -11098963?
11098967
In base 12, what is -15263 + -2958?
-17bbb
In base 10, what is -2 - -2934564?
2934562
In base 14, what is 2a0c2d - -11a?
2a0d49
In base 7, what is -3 + 313250?
313244
In base 9, what is 151 + 380135?
380286
In base 5, what is 1130 + -11210213?
-11204033
In base 4, what is -3101321 - -13220002?
10112021
In base 8, what is -12415 - 254270?
-266705
In base 14, what is 1023 - -7c4?
1807
In base 5, what is -3 + -114221412?
-114221420
In base 3, what is -11122 - 10220002?
-11001201
In base 7, what is 4 + 11345626?
11345633
In base 15, what is -11677 - 60?
-116d7
In base 14, what is 11d + -3ba962?
-3ba843
In base 15, what is -3 - -52d752?
52d74e
In base 2, what is 11 - 110101111011111100101110?
-110101111011111100101011
In base 13, what is -74394a - 1?
-74394b
In base 7, what is 2 - 551332322?
-551332320
In base 2, what is -110000111011100010001 - -1011110?
-110000111011010110011
In base 6, what is 2142230 + -135?
2142051
In base 9, what is 5 + 45687165?
45687171
In base 14, what is -1a - 641c93?
-641cad
In base 10, what is 85781 - 619?
85162
In base 6, what is -130 - 15534233?
-15534403
In base 2, what is -100010000001010101011 - 11001?
-100010000001011000100
In base 15, w | {
"pile_set_name": "DM Mathematics"
} |
oduct of -465 and -2.
930
0.36 times -7
-2.52
-2.8*-4
11.2
36*0.1
3.6
832 * -4
-3328
5 * 127
635
What is -0.4 times -711?
284.4
54*-14
-756
Work out 1 * -0.99.
-0.99
What is 6 times -1.1?
-6.6
Calculate -0.034*2.35.
-0.0799
Calculate 4*38.
152
20*-86
-1720
254*1
254
-0.009*-4
0.036
-1.6 * -1331
2129.6
Calculate -69.4*-2.
138.8
Multiply 1 and -345.
-345
Work out 30.8 * -3.
-92.4
Calculate 3*4.73.
14.19
-0.085 times -4
0.34
890*-4
-3560
-127 * -59
7493
17 * -0.248
-4.216
What is 126 times -0.04?
-5.04
Work out -3.2 * 48.
-153.6
What is -8.6 times 0?
0
Multiply 4.7 and -20.
-94
What is the product of 0.169 and -0.12?
-0.02028
-6 * -2342
14052
Work out -57 * -20.
1140
Multiply 2 and 4.58.
9.16
-122 * 0.3
-36.6
Work out -0.22 * 8.
-1.76
2.14 times -0.04
-0.0856
Multiply 0.4 and -4411.
-1764.4
-10 times -3.3
33
Calculate 33*0.7.
23.1
Work out -4 * -2932.
11728
What is 0.32 times 0.2?
0.064
-9*-0.061
0.549
84*-0.029
-2.436
Work out -11.2 * 0.5.
-5.6
Product of -1 and 332.2.
-332.2
4*-2.9
-11.6
-5.61*3
-16.83
-272*28
-7616
Calculate 271*-0.4.
-108.4
What is -35 times 20?
-700
Product of -3 and 1108.
-3324
What is 0.9 times 0.003?
0.0027
What is the product of -802.1 and 5?
-4010.5
-2 times 9.2
-18.4
What is the product of -0.18616 and -0.3?
0.055848
Multiply 695 and -3.
-2085
0.09427 times 1
0.09427
Work out -0.6 * 411.
-246.6
What is the product of 0.16 and -244?
-39.04
5 times 943
4715
-7 * 3.4
-23.8
Calculate -0.73*0.5.
-0.365
161*-0.5
-80.5
-1.1*1.99
-2.189
-9.7 times -2
19.4
Product of 0.1 and -21.
-2.1
Product of 1 and 3.
3
-0.2 times -185
37
Calculate 0.4*-0.354.
-0.1416
Work out -0.165 * 0.1.
-0.0165
What is -35 times -1.5?
52.5
-0.5 times 0.91
-0.455
0.043*0.07
0.00301
-74 times 0.13
-9.62
3 times -29
-87
Work out -1 * -1631.
1631
What is the product of -24.2 and 0?
0
Work out 587 * 0.2.
117.4
Multiply -110 and -2.
220
-1*-0.07
0.07
0 * -38
0
5*274
1370
Work out 0.193 * 4.
0.772
-21.4*-3
64.2
-0.45*0
0
2.81 * 0
0
Work out -4 * -101.
404
-0.69 times -5
3.45
Work out -89.9 * -3.
269.7
Multiply 188.7 and -0.2.
-37.74
Work out 0.045 * -10.5.
-0.4725
-0.0186*31
-0.5766
Calculate -0.5*10.
-5
What is the product of -0.11 and -0.28?
0.0308
Calculate 13*-0.7.
-9.1
Multiply 184 and -0.32.
-58.88
Multiply -0.4 and 5.4.
-2.16
Calculate 7*-121.
-847
Multiply 9669 and 4.
38676
What is 51.02 times 4?
204.08
Work out 111 * -2.
-222
Work out -0.06 * 0.211.
-0.01266
What is the product of -117 and -0.1?
11.7
Multiply -0.066 and 0.31.
-0.02046
-4 times -0.05
0.2
-205.9*-4
823.6
0.4 * -17.87
-7.148
304 * 0.2
60.8
-0.01*-0.12
0.0012
What is 2 times 777?
1554
1 * 1.7
1.7
-42 * -13
546
Calculate -0.2*-30.
6
-10 times -34
340
What is 4 times 684?
2736
Product of 6 and 0.045.
0.27
5 * 127
635
What is -2 times -0.17?
0.34
Multiply 0.1 and -64.
-6.4
Calculate -11*11.
-121
Multiply -3 and -243.
729
Multiply 0.2 and -258.
-51.6
542 * 1.7
921.4
Product of 10.1 and -20.
-202
-20 * 2.1
-42
Work out -0.92 * -7.
6.44
-12.2*3
-36.6
-0.085*-11
0.935
Multiply 0.03 and 0.
0
Work out 135 * -1.
-135
Calculate -82*44.
-3608
What is the product of -1.1 and 4?
-4.4
Multiply -1.46 and 4.3.
-6.278
Work out 3412 * -4.
-13648
What is the product of 36 and 7?
252
What is -32 times 65?
-2080
Calculate 58*-0.5.
-29
What is the product of -3.2 and 8?
-25.6
What is -0.4 times -22?
8.8
Work out -0.1 * 14.5.
-1.45
557*2
1114
What is 8143 times 0.5?
4071.5
What is the product of 151 and -17?
-2567
Calculate 0.0468*0.1.
0.00468
22 * 2.16
47.52
Calculate -0.1*-59.
5.9
-3 times -22
66
Product of -345 and 0.
0
Product of -0.267 and -0.04.
0.01068
-0.2*-4611
922.2
What is -23 times 0.114?
-2.622
Work out -0.135 * 0.021.
-0.002835
Work out -9.2 * -0.07.
0.644
What is -6.6 times 22.2?
-146.52
Work out -5 * -0.19.
0.95
What is -25 times -4?
100
Work out -0.5 * 32.
-16
-1140.6 times 1
-1140.6
What is the product of -25 and -0.69?
17.25
What is 0.4 times -687?
-274.8
Calculate -1548*1.
-1548
7.8 times -4
-31.2
Work out 0.02 * 0.023.
0.00046
What is -0.06 times 316?
-18.96
What is the product of 2.73 and 2?
5.46
What is the product of 0 and 43?
0
-0.4 times -173
69.2
Work out 13 * -1.
-13
-0.5 times -1297
648.5
1*-683
-683
What is the product of 6 and -37?
-222
-0.2 times -0.0389
0.00778
Multiply 83 and -0.3.
-24.9
What is the product of -12944 and 5?
-64720
-0.3 * -826
247.8
What is the product of 0.04 and -305?
-12.2
44*-0.303
-13.332
Calculate 5*-14.6.
-73
0.4 times 77
30.8
Calculate -0.139*1.16.
-0.16124
-3 times -2387
7161
1.061 * 4
4.244
What is -0.2 times -71?
14.2
3 times 48
144
Multiply -725 and 0.12.
-87
What is the product of 0.8 and -184.7?
-147.76
-90 * 0
0
373 * -10
-3730
-58*0.3
-17.4
119*-1.5
-178.5
Work out -123 * 2.
-246
Multiply -10428 and 3.
-31284
Work out -2508 * -0.5.
1254
Product of 1351.8 and 1.
1351.8
-24 * 5.5
-132
Calculate -1*5.75.
-5.75
-48 times 2
-96
Calculate 215*0.1.
21.5
What is 0.04 times 0.33?
0.0132
Product of -4 and -2899.
11596
What is the product of -0.5 and 4909?
-2454.5
-211*0
0
Work out 0.5 * -427.
-213.5
-15.1*6
-90.6
Work out 5 * 0.183.
0.915
1.7 * -5
-8.5
Multiply -1147 and -4.
4588
-3.3 times -99
326.7
Multiply -0.35 and 0.1.
-0.035
0.4 * -106
-42.4
-6 times -0.14
0.84
What is the product of -40 and 0.03?
-1.2
Calculate 6*0.138.
0.828
Work out 4163 * 0.2.
832.6
What is 64 times 0.02?
1.28
Multiply -23.98 and -0.1.
2.398
-0.4*8
-3.2
Multiply -0.1 and 1404.
-140.4
What is 0.2819 times -0.1?
-0.02819
What is the product of -1.1 and -0.219?
0.2409
What is the product of 14559 and 0.1?
1455.9
Calculate 1.9*102.
193.8
Calculate -0.006*-61.
0.366
Work out -3 * 0.1387.
-0.4161
What is -0.66 times -5.8?
3.828
0.25*0.14
0.035
Multiply 15 and -0.3.
-4.5
What is the product of -426 and -2?
852
Multiply 318 and 0.2.
63.6
-151 * -1.9
286.9
What is the product of 23 and -127?
-2921
What is the product of -0.125 and 0.12?
-0.015
Product of -0.03 and -204.
6.12
What is -587 times -0.1?
58.7
0.03*0.15
0.0045
Work out -3.5 * 3.
-10.5
Calculate 1*-6.39.
-6.39
Calculate 394*-3.
-1182
Calculate 0.12864*5.
0.6432
Product of -0.1 and 0.104.
-0.0104
Calculate 42*0.24.
10.08
Multiply 0.5 and 3511.
1755.5
Product of -0.4 and 0.509.
-0.2036
Calculate -0.2*-1.32.
0.264
-0.1 * -928
92.8
94.2*-0.1
-9.42
What is the product of -55.06 and -0.4?
22.024
Multiply -0.5 and 0.73.
-0.365
What is the product of -28 and -0.033?
0.924
What is the product of 5 and 166?
830
Calculate -0.03*0.1.
-0.003
Product of 1074 and 0.4.
429.6
-0.07 * -8
0.56
-2 * -169
338
4 times 0.107
0.428
-0.7*-0.126
0.0882
Calculate 3*-1.6.
-4.8
Calculate -0.04*-0.16.
0.0064
244 times -6
-1464
What is -0.2 times 142?
-28.4
-4*-171
684
Calculate 1*-67.
-67
0.3*19
5.7
What is -1 times -28?
28
-14*0.02
-0.28
Multiply -539 and -2.
1078
Multiply 4421 and 0.5.
2210.5
-4 times 1.2
-4.8
2.8*2.3
6.44
What is the product of 17 and 2?
34
Product of -0.1688 and 3.
-0.5064
12 * 0.1
1.2
What is the product of -26 and -3?
78
What is the product of 0.0318 and -0.3?
-0.00954
-0.34 * 111
-37.74
Calculate 11*-19.
-209
What is the product of -7 and -255?
1785
0.8*0.14
0.112
Multiply -7 and -0.06.
0.42
-537 * -0.4
214.8
What is the product of 0.4 and 284?
113.6
Product of -580 and -35.
20300
Work out -34 * 0.149.
-5.066
-2*178
-356
Multiply 11 and -8.
-88
What is 1 times -166.2?
-166.2
Multiply -452 and 0.8.
-361.6
4*-0.39
-1.56
Calculate -7506*-4.
30024
0.7*0.2
0.14
What is the product of -8 and -2168?
17344
-0.113 * -0.1
0.0113
Multiply 0.08 and -0.4.
-0.032
Work out 5 * -2.
-10
3.1 * 0.1
0.31
What is 185 times -6?
-1110
What is the product of 0.025 and -0.28?
-0.007
Product of -3024 and 0.2.
-604.8
Work out 180 * 4.
720
0.4*-6.1
-2.44
What is the product of -1.144 and 0.4?
-0.4576
What is the product of -0.5 and -169.9?
84.95
Product of -8 and -0.0701.
0.5608
0.011 times -1
-0.011
What is 21 times -0.18?
-3.78
0.4 * 83
33.2
-90.5 times -1.2
108.6
Work out 0.6 * 0.333.
0.1998
1 times 3342
3342
What is the product of 1 and 0.1548?
0.1548
What is the product of 0.17 and -4.1?
-0.697
2*-0.298
-0.596
Product of -4.8 and 1.8.
-8.64
Calculate -14*-0.1459.
2.0426
Product of -0.4 and 129.
-51.6
What is the product of -0.255 and -5?
1.275
Work out 43 * 0.3.
12.9
-0.81 * -51
41.31
-2*0.602
-1.204
What is the product of -0.4 and 26?
-10.4
Calculate 0. | {
"pile_set_name": "DM Mathematics"
} |
te k(w(d)).
28*d**4
Let w(u) = -40*u**2. Let p(y) = y**2 + 6*y + 3. Let t be p(-6). Let v(k) = -13*k**2 + t*k**2 + 11*k**2. Calculate v(w(l)).
1600*l**4
Let i(h) = -h**2. Let a(j) = j - 3*j + 3*j - 2*j + 1. Let r(l) = 32*l - 18. Let p(y) = 36*a(y) + 2*r(y). Calculate p(i(q)).
-28*q**2
Let n(v) = 17*v - 60 - 20*v - 5. Let y(c) = 2*c**2. Determine y(n(t)).
18*t**2 + 780*t + 8450
Let h(w) = -4*w**2. Suppose 0 = -4*i - 5*k - 17, -4*i - 4*k - 12 = -0*i. Let v(l) = -6*l**2 - 2*l + 7*l**2 + i*l. Determine h(v(b)).
-4*b**4
Let b(n) = 9*n + 452. Let k(r) = 42*r. Determine k(b(s)).
378*s + 18984
Let l(k) = -k**2 + 6*k + 2. Let a(t) = -3*t**2 + 15*t + 5. Let u(z) = 2*a(z) - 5*l(z). Let n(j) = -47*j**2 + 2. Give n(u(v)).
-47*v**4 + 2
Let n(c) = 2*c. Let h(i) be the second derivative of i**5/30 - 24*i**2 + 4*i. Let v(u) be the first derivative of h(u). Give v(n(l)).
8*l**2
Let k(v) = -2*v. Let t(m) = 2*m + 113. Calculate k(t(r)).
-4*r - 226
Suppose q + 9 = 4*h, -3*h - 4*q + 3 = 1. Let m(c) = 5*c**h + 9*c**2 - 11*c**2. Let o(u) be the first derivative of -u**3 - 1. Calculate o(m(p)).
-27*p**4
Let f(v) = -12*v**2 + 16*v - 8. Let a(y) = 4*y**2 - 6*y + 3. Let g(p) = -8*a(p) - 3*f(p). Let z(b) = 22*b**2. Determine z(g(i)).
352*i**4
Let q(d) = 8*d. Let y(z) = 119051*z**2. Determine y(q(x)).
7619264*x**2
Let d(f) be the second derivative of -1/6*f**3 + 0*f**2 - f + 0. Let o(q) be the first derivative of 13*q**3/3 - 69. What is d(o(j))?
-13*j**2
Let j(n) = -2*n. Let r(v) be the second derivative of 0*v**3 + 0 + 0*v**2 + 18*v + 1/4*v**4. What is j(r(q))?
-6*q**2
Let p(w) = -43*w**2 + 2. Let x(q) = 20*q - 1. Give p(x(a)).
-17200*a**2 + 1720*a - 41
Suppose 5*z - 1656 = -3*z. Let t(a) = 205*a - 414*a + z*a. Let p(w) = 7*w + 2 - 2. Calculate p(t(y)).
-14*y
Let c(h) = 367689*h. Let n(b) = -b**2. Give c(n(m)).
-367689*m**2
Let g(x) be the third derivative of 3*x**5/10 + 377*x**2. Let c(z) = -3*z**2. Calculate c(g(y)).
-972*y**4
Let o(f) = -26309*f. Let l(u) = 3*u**2. Calculate o(l(s)).
-78927*s**2
Let y(i) = 27*i. Let p(r) = -963*r**2 + 1887*r**2 - 961*r**2. Give p(y(m)).
-26973*m**2
Let j(x) = -2*x**2. Let u(p) be the third derivative of -p**5/60 - p**4/24 - p**2 + 11*p. Calculate j(u(g)).
-2*g**4 - 4*g**3 - 2*g**2
Let d(c) = -1 - 89393*c + 89380*c + 1. Let l = 13 + -8. Let t(v) = -l*v - 4*v + 8*v. Calculate d(t(k)).
13*k
Let n be -3 - ((-2)/(-1) + -3 + -2). Let f(h) be the third derivative of 0*h + 0*h**3 + n - 1/12*h**4 + 6*h**2. Let s(t) = 2*t**2. Give s(f(v)).
8*v**2
Let v(j) be the third derivative of 0*j - 17/24*j**4 + 0*j**3 + 0 + 26*j**2. Let t(g) be the first derivative of -g**2 - 1. Give t(v(y)).
34*y
Let a(r) = 15*r**2. Suppose -7*t + 119 = -14. Let v(n) = t*n - 36*n + 19*n. Determine a(v(c)).
60*c**2
Let g = 136 - 406/3. Let b(q) be the first derivative of 1 + 0*q**2 + 0*q + g*q**3. Let c(w) = w. Calculate c(b(d)).
2*d**2
Let m(n) = 420927*n. Let h(t) = 2*t. Give h(m(f)).
841854*f
Suppose -3*p + 50 + 10 = 0. Let q(o) = 15*o + p*o - 33*o. Let b(x) = 3*x - 3*x - 5*x. Determine b(q(z)).
-10*z
Let a(z) = 272*z**2. Let o(v) = v**2 + 1056*v. What is o(a(c))?
73984*c**4 + 287232*c**2
Let d(h) = -h**2. Let s(y) = 87*y + 6. Let l(v) = -90*v - 5. Let m(z) = 6*l(z) + 5*s(z). Calculate m(d(a)).
105*a**2
Let n(l) = 8 + 10 + 9 - 4*l - 16. Let c(q) = 2*q. Calculate n(c(s)).
-8*s + 11
Let r(v) = -2*v**2. Let u(n) be the second derivative of n**4/3 + n**2 + 2*n. Let w(m) = -m**2 + 1. Let z(d) = u(d) - 2*w(d). Determine z(r(y)).
24*y**4
Let q(u) = -2*u**2 + 5*u**2 - 3*u**2 - 2*u**2. Let v(r) = 153*r**2 - 38*r**2 - 68*r**2. Give v(q(o)).
188*o**4
Let y(w) = 9*w**2. Let j(v) be the first derivative of -3*v**2 - 7. What is y(j(b))?
324*b**2
Let k(r) = -r. Let f(o) = 277794*o**2. What is k(f(d))?
-277794*d**2
Let g(t) be the third derivative of -55*t**4/24 - 5*t**2. Let h(f) = -f**2. Give g(h(n)).
55*n**2
Let o = -1 - -1. Let u(c) = o*c**2 + 2*c**2 + 5*c**2 - 5*c**2. Let n(s) be the second derivative of -s**4/2 - 159*s. Determine n(u(k)).
-24*k**4
Let q(s) = 228*s**2. Let c(h) = -76*h + 2. Determine q(c(b)).
1316928*b**2 - 69312*b + 912
Let z(y) = 7*y. Let h(g) = 337*g**2 - 9. Determine z(h(x)).
2359*x**2 - 63
Let z = -16 + 18. Let x(q) = 2*q + 23*q**z - 3*q**2 - 2*q. Let b(m) = -m**2. Calculate b(x(t)).
-400*t**4
Let y(m) = 374*m**2 + 2. Let u(r) = -147*r. Determine y(u(v)).
8081766*v**2 + 2
Let w(x) = 3*x**2. Let y(u) be the second derivative of u**5/60 + 17*u**3/6 - 26*u. Let o(j) be the second derivative of y(j). What is o(w(m))?
6*m**2
Let d(t) = -57*t**2 - 2*t**2 + 12*t**2. Let u(m) = -m**2 + 2*m + 2. Let g(c) = -2*c**2 + 3*c + 3. Let z(o) = -2*g(o) + 3*u(o). Calculate d(z(w)).
-47*w**4
Let b(y) = -43119 - 6*y + 22*y + 43119. Let l(d) be the second derivative of d**3/3 + 2*d. Determine b(l(j)).
32*j
Let d(z) = 37*z + 39*z + 35*z - 108*z. Let k(f) be the third derivative of 11*f**4/24 - f**2. What is k(d(s))?
33*s
Let d(m) = -m**2. Let g(v) = 15*v. Suppose -4*l + 4*r = 0, 5*l + 3*r - r - 14 = 0. Let t(n) = 15 - l*n + 3*n - 15. Let q(x) = g(x) - 18*t(x). Calculate d(q(b)).
-9*b**2
Let f(n) = 2*n. Suppose -3*a + p + 105 = 0, -2*p + 15 = -7*p. Let h(k) = 34 - a - 6*k**2. Calculate h(f(x)).
-24*x**2
Let s(z) = 2*z - 1007 + 1007. Let c(n) be the second derivative of 0*n**2 + 1/3*n**4 + 0 - 6*n + 0*n**3. Determine c(s(y)).
16*y**2
Let n(b) = -b**2. Suppose -l - i = 12, 4*l + 0*i = -i - 54. Let a be ((-8)/l)/((-14)/(-49)). Let g(t) = 11*t**2 + 4*t**a - t**2. Calculate g(n(h)).
14*h**4
Let k(i) = 2*i**2 - i**2 - 2*i**2. Suppose 5*x - 7 = 3. Let z(s) = -2*s - 2. Let t(a) = -a**2 - 3*a - 3. Let f(q) = x*t(q) - 3*z(q). Determine k(f(v)).
-4*v**4
Let u(w) = -11*w - 45. Let g(r) = 189*r**2. Determine g(u(x)).
22869*x**2 + 187110*x + 382725
Let i(g) = 4*g + 12. Let f(q) = q + 2. Let k be -2 + 8/12*9/6. Let j(t) = k*i(t) + 6*f(t). Let d(p) = 44*p**2. Determine d(j(n)).
176*n**2
Let q(m) = -24*m. Let z(g) = -g. Let j(u) = -3*q(u) + 63*z(u). Let t(k) be the first derivative of -k**2 + 138. Calculate t(j(n)).
-18*n
Let k(h) = -4*h. Let t(q) = -203*q**2 + 2*q + 1. Determine k(t(r)).
812*r**2 - 8*r - 4
Let q(s) = 3*s**2. Let m(d) = 92215*d. Determine q(m(g)).
25510818675*g**2
Suppose d + 2*o + 1 = 0, 6*o = -2*d + o - 4. Let l(v) = -v - 1. Let i(p) = 9*p + 2. Let k(g) = d*i(g) + 6*l(g). Let s(t) = -2*t**2. What is k(s(m))?
-42*m**2
Let r(o) = -3630*o**2 - 95. Let z(b) = b. Determine z(r(q)).
-3630*q**2 - 95
Let v(a) = -a. Let g(k) = -18*k**2 - 2*k - 14. Let c(r) = -89*r**2 - 11*r - 77. Let f(l) = 4*c(l) - 22*g(l). Calculate v(f(x)).
-40*x**2
Let l(s) = -11*s. Let d(x) = 46*x + 47*x - 83*x. Calculate l(d(v)).
-110*v
Let g(h) = -2*h. Let w(j) be the third derivative of 8*j**5/15 - 13*j**3/3 - 7*j**2. Let t(s) be the first derivative of w(s). What is g(t(f))?
-128*f
Let a(j) = -4*j**2 + j**2 + j**2 + j**2. Let m(b) = 4897*b - 332. Let i(x) = 89*x - 6. Let c(l) = -166*i(l) + 3*m(l). Calculate c(a(h)).
83*h**2
Let i(n) = -7*n + 15*n + 4*n. Let t(w) = 3*w + 7*w + 9*w + 4*w - 21*w. What is i(t(r))?
24*r
Let w(v) = -24*v**2 + 7*v + 133. Let i(u) = 7*u**2 - 2*u - 38. Let p(l) = 7*i(l) + 2*w(l). Let z(s) be the first derivative of 15*s**3 - 1. Calculate z(p(y)).
45*y**4
Let u(c) = -2*c + 6. Let n(t) = -t. Let r(q) = -10*q + 41. Let k be r(4). Let f(i) = k*n(i) - u(i). Let a(x) = -2*x. Give a(f(b)).
-2*b + 12
Let u(n) be the third derivative of -n**4/24 - 8*n**2. Let q(f) = -33*f**2. Determine q(u(s)).
-33*s**2
Let h(c) be the third derivative of c**5/30 + c**2. Let d(u) be the second derivative of -u**3 + 6*u + 8. Calculate d(h(f)).
-12*f**2
Let s(x) = -x**2. Let z(f) = -100*f + 2. Suppose 0*o + 3*o + 6 = 0. Let c be z(o). Let t(d) = -c + 8*d + 202. Give s(t(r)).
-64*r**2
Let q(n) be the third derivative of 0*n + 0 - 1/60*n**5 + 0*n**4 - 15*n**2 + 0*n**3. Let u(i) = i**2. Give q(u(z)).
-z**4
Let i(x) = -7*x - 4. Let k(u) = -5*u - 3. Let d(t) = -3*i(t) + 4*k(t). Let s(o) = 2*o**2 - 10. Determine d(s(a)).
2*a**2 - 10
Let c(m) = -11*m + 33. Let b(u) = -1. Let v(k) = -33*b(k) - c(k). Let g(d) = 19*d. Determine v(g(q)).
209*q
Let t = 80 - -95. Let m(i) = 2*i**2 - t + 175. Let a(x) = 5*x. Give m(a(j)).
50*j**2
Let f(m) = 10*m + 8*m - 28*m + 4*m. Let w(j) = 2*j**2 - 4*j**2 + 5*j**2. What is w(f(o))?
108*o** | {
"pile_set_name": "DM Mathematics"
} |
-4
Suppose 2*z - w = -68 - 67, 0 = 2*z - 3*w + 125. Let c be z/(-4)*8/14. Solve -5*k = -3*d - d - 25, 0 = -2*k - d + c for k.
5
Suppose 1656*v - 875 = 1481*v. Solve -4*p - 4*h = -15 + 3, -v*p - h - 5 = 0 for p.
-2
Let j(o) = -o**2 - 28*o - 192. Let d be j(-13). Solve 0*x - d*p = -4*x - 1, -5*x - p = 25 for x.
-4
Let a(v) = v**3 + 41*v**2 + 237*v - 32. Let n be a(-34). Solve n*o + 6 = -2*u, -2*o + 2 = -4*u + 14 for o.
-4
Suppose 107*l = -149*l. Solve 5*n + 4*q + q + 15 = l, 0 = 5*n - 4*q + 6 for n.
-2
Suppose b + 71 = 6*b + 4*m, 0 = 4*b + m - 48. Let k(y) = -y + 8. Let h be k(b). Let a be -10*(-3)/(-18)*h. Solve -a*r = 7*j - 3*j - 11, r = 4*j - 17 for r.
-1
Let w be 29/((-3393)/18)*1 - 186/(-26). Solve 0 = -p + 3*y + 4, -5 = 3*p - 4*y - w for p.
-2
Let q(v) = -13124*v + 78771. Let n be q(6). Suppose -4*h + 2*a + 36 = -2*a, -5 = 5*h + 5*a. Solve -s - 3*i - 24 = h*s, 4*i + n = -5*s for s.
-3
Let x = 104 - -63. Let o = x + -163. Solve 0 = 2*r - 4*n - 4, -6*r = -10*r - o*n - 4 for r.
0
Let k(c) = 66*c - 1379. Let l be k(21). Let r(b) = b**2 + 6*b - 11. Let a be r(-8). Solve 15 = -a*u, 5*o + 8 = -5*u - l for o.
0
Let m = 731 - 728. Suppose -29*g = -84 - m. Let l(o) = o**2 - o - 2. Let t be l(4). Solve t = -3*f - 5*k - 0, g*f = k + 2 for f.
0
Suppose 108*s - 114*s + 36 = 0. Solve s*m + 1 = 4*m + 3*k, 4*m + 5 = 3*k for m.
-2
Suppose -3*w - 5*h = -34, w - 4*h + 11 = -2*w. Suppose 11*k - 13*k = -10. Solve -6 = -2*b - 2*n, -b + k*b + n + w = 0 for b.
-2
Let c(a) = -4*a**2 + 23*a - 10. Let h be (45/(-27))/(2/(-6)). Let j be c(h). Solve j*z = -t + 20, 0*t = -t - z + 4 for t.
0
Let g be 2 - 3 - (24/(-36))/(4/6). Solve b - 6 = -4*v, 3*b + g + 6 = 0 for v.
2
Let v = 5070 - 5068. Solve 33*h = v*o + 35*h + 2, 0 = 3*h + 12 for o.
3
Let z = 34 + 161. Let j = z - 195. Solve -4*n - y - 6 = j, 5*y = 4*n + n - 5 for n.
-1
Suppose -109*r + 57 = 56*r - 273. Solve 21 = 4*u + 9, -4*j - r*u = -10 for j.
1
Suppose -5*r = -2*p - 18 + 2, -p = -r + 2. Solve 3*q - 20 = p*f, -5*q - 4*f = f for q.
4
Let b = -4159 - -4163. Solve 3*y = 2*x - 11, b = -x - x for y.
-5
Suppose -3*j = 12, 4*o - 3 = -o - 3*j. Suppose -162*b - 1171*b + 31992 = 0. Solve 3*t + t - b = -a, -3*a - o*t = -27 for a.
4
Suppose -3*f + 2*l = -6*f + 70, 0 = 4*f - 5*l - 78. Suppose 0 = -5*y - 2*p + 18, -3*p = 5*y - 5*p - f. Solve 0 = -y*b + 3*z + 20, -3*z = -b - 2*b + 18 for b.
2
Let p(v) = -v**3 + 9*v**2 - 6*v + 8. Let g be p(9). Let i be g - -46 - (-1 + 2 - 2). Solve d - s + 0 = -i, 9 = -d + 5*s for d.
1
Let t = 1324 + -1313. Solve -m = 2, 21 = 2*v - m + t for v.
4
Let w be -19 - (15 + (-30 - 6)). Solve w*g = 2, -4*z - g + 6*g = 9 for z.
-1
Let t be -8*(3/6 - 1). Suppose t*p - 131 = -p + 4*o, 76 = 4*p + 4*o. Solve -k = j - 6, 2*j + 2*j = -3*k + p for k.
1
Suppose -43*s = -755 - 191. Solve -3*g = 15, -8*m - 5*g = -9*m + s for m.
-3
Let p be 5*((1 + -1)/(-5) + 1). Suppose 3 - 7 = -2*q, 75 = 5*k - p*q. Solve n + 21 = 4*x, 5*n - 3*n - 3*x = -k for n.
-1
Suppose 3*h - 2*h = -2*p + 6, 0 = -4*h + 8. Let a = 13 + -10. Solve -n + 23 = -5*f, -a = -3*f - p*n - 3*n for f.
-4
Suppose 0 = -o + a + 2*a - 8, 2*a = -o + 12. Suppose r - 16 = -2*r + o*h, -5*h + 50 = 5*r. Let w = 6 + -4. Solve 4*n - 4 = w*m + 2*n, 4*n = 2*m + r for m.
0
Let q(z) = z**2 + 28*z - 1. Let k be q(-15). Let a = -192 - k. Solve -2*m - 6 = -a*u, 0*u - u + 5*m = 21 for u.
4
Let l be ((-80)/(-64))/((-100)/(-160)). Solve -8 = -4*i + l*i, 0 = 4*x + 4*i for x.
-4
Let l be 4/(-2)*2 + 49*-1. Let s = l + 56. Solve 5*a + s*m = 2*m - 28, 0 = -2*m - 6 for a.
-5
Suppose 0 = -4*n + 8, -n + 2 - 8 = -4*h. Suppose -1843*y - 3 = -1846*y. Solve -5*p - 5*r = -30, h*p = r + 8 + y for p.
5
Suppose -11*a + 220 = -k - 13*a, 4*k + 892 = -5*a. Let w = k - -239. Solve 3*y = 5*o + w, -y - 11 - 4 = 3*o for y.
-3
Let f = -135 - -139. Solve -4*z + f = -5*k, 7*k + 3*z = 2*k - 32 for k.
-4
Suppose 10 = 5*n + w, 2*n = -2*w - 87 + 99. Let f = -23 - -30. Solve -5*h - g + n = 9, -4*h - f = g for h.
-1
Let f(v) = 3*v - 4. Let c be f(3). Let s(z) = 18*z + 144. Suppose -7*r - 48 = 8. Let k be s(r). Solve -2*d = -0*d + 4*i, k = -c*d + 2*i - 24 for d.
-4
Suppose -9*r = 210 - 255. Solve 12 = -s - r*p, 4 = -3*p - 2 for s.
-2
Suppose -2*b + 3*a = -23, -29*b + 3*a = -37*b + 17. Solve 31*q - 30*q - 12 = -b*z, q - z - 2 = 0 for q.
4
Let x(f) = f**2 + 11*f + 22. Suppose -7 = 4*i + 9. Let d be -2 + ((-40)/6 - i/(-12)). Let g be x(d). Solve 3*t - 4*w - w - 15 = 0, -t - g*w = 12 for t.
0
Let o = -309 - -312. Let f(p) = p**2 + 3*p - 15. Let h be f(o). Solve -h - 8 = -3*u + 2*z, -5*u + 2*z = -13 for u.
1
Suppose -6*q + 12 = -2*q. Let y be q/(-6)*(-193 - 1). Suppose 0 = 4*c - y - 47. Solve 3*s + s - c = -4*h, -5*s + 2*h = -10 for s.
4
Suppose 5*r - 10 = j - 13, -2*j + 6 = 2*r. Solve 0 = -4*t - 3*x - 12, -j*x - 5 - 7 = -t for t.
0
Let p be 25/((-225)/(-36)) + (0 - (3 - 1)). Solve 6 = -3*n, 4*s + p*n - 14 = -22 for s.
-1
Suppose -5*h + 34 = 3*k, 0 = -2*k - 2*h - 3*h + 26. Let z be 4 - 1 - (-16 + k - -7). Solve 3*p - 2 = 2*g - 10, -z = -4*g + 3*p for g.
-2
Let d(h) be the third derivative of h**6/120 - h**5/20 + 7*h**4/24 - 3*h**3 - h**2 + 1. Let i be d(3). Solve 0 = 3*t + 5*r - 20, t - 12 = -3*t - i*r for t.
0
Let z be (7 - 1224/(-8))/2. Suppose -94 = -3*o - q, -z = -28*o + 26*o - 5*q. Let r = -15 + 25. Solve 3*d + r - o = 4*x, -3*x - 15 = 3*d for d.
0
Suppose -3*v + 4*d = -100, 44 = 3*v - 3*d - 52. Solve -q + 4 = 0, -v*q + 33*q - 15 = 5*x for x.
1
Let m(z) = -z**3 + 30*z**2 - 4*z + 120. Let n be m(30). Let x be (-5 - 123/(-21))*(14 + n). Solve -3*p = -3*f + x, 0 = -5*p - 3*f - 2 + 14 for p.
0
Let f(d) = -d**2 + 80*d + 707. Let l be f(-8). Solve -l*y = 3*n - 10 + 19, 1 = -3*y - n for y.
1
Let l be (-1380)/5060*198/(-2). Solve -5*g = 2*a - l, -7*g + 5*g = -3*a - 7 for g.
5
Suppose -4*f = -2*j + 20, 56*j + 4*f = 54*j - 20. Solve 0 = -q - 4*w + 20 - 4, -5*w + 20 = j for q.
0
Let c(v) = v**2 - 33*v - 1619. Let x be c(60). Suppose -3*p = -2*a + 76, p = -4*a + 109 + 15. Solve -3*w - a = 4*g - x, 0 = 2*w - 2*g + 2 for w.
-5
Let v be 0/(1/((-1)/(-2))). Let u be (12 - 31) + 126/6. Solve 0 = -w - 2*l - 2, -2*w + 6*l - u*l + 12 = v for w.
2
Let g(o) = -86*o + 1094. Let r be g(12). Let s = 87 - 24. Let d = s - r. Solve -3*a + 4*j + 12 = 0, -3*j = -2*a - d + 9 for a.
4
Suppose -14*r = -3*r + 2002. Let g = 198 + r. Solve 0 = 2*p + 2*d + 2*d + g, 4*p - 8 = 2*d for p.
0
Suppose 5*v + 16 = -2*f, 5*f - 2*v - 14 = -v. Suppose -27*o + 76 = -36 - 23. Solve 5*w - o*h = 25, 0 = f*w - 5*w + 2*h + 10 for w.
0
Suppose 50*s - 72*s = 946. Let n(z) = z**2 + 38*z - 212. Let k be n(s). Solve k*y - 9 = 0, 0 = 5*j - 2*y + 4*y + 9 for j.
-3
Suppose 5*c + 3*u = -245, -4*u = 5*c - 146 + 391. Let v = c + 47. Let o(s) = -s**3 + s + 2. Let n be o(v). Solve -5*z - 3*h = 31, -3*z - 9 - n = h for z.
-5
Suppose 3*x + 8 - 14 = 0. Suppose -h + 0*f = -f, x*h + f = 9. Solve 4*d + 6 = 6*t - t, -d - t = -h for d.
1
Suppose -11 = -s + 4*r - 5*r, 0 = -4*s - 2*r + 36. Let d(v) = -66*v + 344. Let t be d(5). Solve 5*g - t = 3*b, 3*g - s - 11 = 5*b for g.
1
Let n = -7 + 8. Suppose 0*v - v = n. Let h be (0 - v) + (15 - 11). Solve s = 3*t - 11, 23 = -h*s + t - 2*t for s.
-5
Suppose -5*l + 43 = 2*w + w, -2*w = 2*l - 22. Suppose 40 = 5*q - 3*v, 0 = -w*q + q - v + 20. Solve c + 0*g = 4*g + 21, q*c - 5*g - 30 = 0 for c.
1
Let z(h) = h**2 - 10*h - 17. Let r be z(12). Suppose 0 = r*l - 97 - 50. Suppose 7*p - l = 7. Solve -4*i + 14 = -2*j - 2*i, p*i - 3 = -j for j.
-5
Let m(b) = 89*b + 3026. Let s be m(-34). Solve s = -3*f + 21, -k - f = 17 - 29 for k.
5
Suppose 0 = 593*v - 654*v + 122. Solve -5*f = 3*n + 15 - 37, 4*n - 20 = -v*f for f.
2
Let u be 65/(20/(-4)) + 16. Solve 3*w - 2*l = 18, -u*l + 2*l - 7 = -w for w.
4
Let k be 4 + (-2)/6 + 221/(-3). Let g be (40/k)/(2/(-21)). Solve 0 = -5*v - 3*q - 16, 2*q - g = -0*q for v.
-5
Let u be (-5 + 0 + 3)/((-20)/100). Solve 15*f - 5*p + 6 = 19*f, 3*f + p - u = 0 for f.
4
Suppose -2362*j + 2366*j - 8 = 0. Let k be (-1)/(-3)*(-255)/(-34)*j. Solve -m = -k*o - 5*m - 28, -3*o + 3*m - 6 = 0 for o.
-4
Suppose -s - 71 + 467 = 0. Let d = s + -396. Solve d*p + 5*f = -p - 24, -5*p = -5*f for p.
-4
Suppose 18*i = -i - 417 + 474. Solve 29 = 3*k + 5*r, -i*k - 3*r + 3 = -18 for k.
3
Suppose 0 = -70*f - 73*f + 144*f. Solve 5*h = -o - 8, f = 1 | {
"pile_set_name": "DM Mathematics"
} |
or 2/179657057?
1
Are 8101810 and 24305432/3 equal?
False
Which is smaller: -265500 or -265427?
-265500
Is 146610710 bigger than 146610706?
True
Is 1172990563/5 > 234598112?
True
Is 6 less than or equal to -8484.83?
False
Which is greater: -943192/1437 or -656?
-656
Which is smaller: 69157 or 69152?
69152
Which is smaller: 373.10256 or -2/5?
-2/5
Which is smaller: 0.0955186 or 1172?
0.0955186
Which is greater: 1803/216158 or 0?
1803/216158
Which is smaller: -5/9 or -0.041191?
-5/9
Is 1034172 equal to 1034170?
False
Is -0.4 != -50/144471?
True
Is -147.2 >= 4/303?
False
Is 0 < 1/833231830?
True
Are 2267/1290 and 1 nonequal?
True
Is 0 at most -185/1929961?
False
Which is bigger: -838679 or 21?
21
Is -6905839 > -6905741?
False
Which is bigger: 0 or 2/264453?
2/264453
Which is smaller: -233329182/19 or -12280482?
-233329182/19
Which is bigger: -589462/217 or -2716?
-2716
Which is bigger: 5105009 or -9?
5105009
Which is greater: 21154 or -0.248?
21154
Which is smaller: 0 or 2/476335989?
0
Is 101 equal to -16494?
False
Is 0 greater than -3367/180693?
True
Which is smaller: -67347 or -740822/11?
-740822/11
Which is bigger: 8817656/25 or 352706?
8817656/25
Which is smaller: 98041 or 0.3?
0.3
Are 517960/33 and 15695 unequal?
True
Which is bigger: 19554723 or -50?
19554723
Which is smaller: -142952 or -142947?
-142952
Which is greater: 6198 or 6544?
6544
Is -9/7481 at least 109?
False
Is 8 < 10/649691?
False
Is -934355 < -6540493/7?
False
Which is smaller: -3840 or 2354?
-3840
Is -93272 not equal to -93269?
True
Which is greater: 26/5894243 or 0?
26/5894243
Is 1/11 greater than 2791888?
False
Is -1/2 <= 17699904?
True
Which is smaller: -3 or -1549/423?
-1549/423
Do 20 and 881.66 have the same value?
False
Which is smaller: 1 or 3087/79346?
3087/79346
Is 45 <= 3/336146?
False
Is 1/32 > 285589?
False
Is -974999 <= -975039?
False
Is 199571 <= 6186702/31?
True
Which is smaller: 0 or -4418/16661?
-4418/16661
Which is bigger: 4857/54829 or 0?
4857/54829
Which is greater: -596246 or -596234?
-596234
Is -41645 greater than 24?
False
Which is smaller: 95265 or -332?
-332
Which is smaller: 1 or 2/381914581?
2/381914581
Is 8529163 bigger than 8529161?
True
Is -55808/56061 greater than -1?
True
Which is greater: 313934 or -2473?
313934
Is -2666978/25 at most -106680?
False
Is -2625454 less than -2625450?
True
Which is greater: -18 or -24852/1279?
-18
Are -1 and 909/4624 equal?
False
Is -3.17 less than 564544?
True
Are 5010 and 5604 unequal?
True
Which is smaller: -571325701 or -571325700?
-571325701
Which is bigger: 958.1 or -1.4?
958.1
Are -2 and 1164786 unequal?
True
Is 0.509 at most -112015?
False
Are -11405105 and 2/9 nonequal?
True
Is -18 equal to -280812?
False
Which is bigger: 62.8 or 25136?
25136
Which is smaller: 0 or -73571701/5?
-73571701/5
Which is smaller: 255710105 or 255710108?
255710105
Which is smaller: -5452 or -365239/67?
-5452
Are -4/7 and 2957425 nonequal?
True
Is -0.48 at most -104/14719?
True
Is 140323660 less than or equal to 140323661?
True
Do -7 and 130273349 have the same value?
False
Which is smaller: -102948301 or -11?
-102948301
Which is smaller: 88421 or 86813?
86813
Are 88 and 189263/2126 equal?
False
Is -1 >= 0.008691541?
False
Is -52404804 equal to -104809607/2?
False
Which is smaller: -329966 or -11548812/35?
-11548812/35
Is -6/1653817393 equal to -1?
False
Which is bigger: -54 or 5.373213?
5.373213
Which is greater: -10487893 or -62927359/6?
-10487893
Which is greater: 467/47 or -25?
467/47
Is 149242594 less than or equal to 149242596?
True
Which is smaller: 1 or 83/366772?
83/366772
Which is smaller: -0.72 or -92153.8?
-92153.8
Is 4477 > -7146?
True
Which is smaller: 154642 or 155087?
154642
Is 1 greater than or equal to 7792/48403?
True
Is 0.686307 < -0.1?
False
Is -2117 at least as big as -275059/130?
False
Is -22392824 at most as big as -22392825?
False
Which is bigger: -26531221 or -26531220?
-26531220
Which is greater: -68472913/9 or -7608101?
-7608101
Which is bigger: -158001/2768 or -57?
-57
Which is smaller: 21 or -1695927?
-1695927
Which is bigger: -6.51 or 2017471?
2017471
Are -150635 and -151184 unequal?
True
Is -1 equal to -21881/13398?
False
Which is greater: -733123 or -733116?
-733116
Which is greater: -31/256991 or 1?
1
Which is smaller: -5366/1523 or -5?
-5
Which is smaller: -49330.8 or 2.4?
-49330.8
Is 3200/1947 less than or equal to 1?
False
Are -54759016/5 and -10951804 nonequal?
True
Which is smaller: -496929/247 or -2011?
-496929/247
Is -1 <= -2/1267700701?
True
Which is bigger: 52792 or 88?
52792
Is -6 at least -6422058?
True
Which is greater: 179850 or -47.7?
179850
Which is smaller: 62/11 or -3590700?
-3590700
Which is bigger: 2302220.9 or 0?
2302220.9
Which is smaller: 141174484 or 0.2?
0.2
Which is greater: 12/450809 or 1?
1
Which is bigger: 1019039 or 1019106?
1019106
Which is bigger: 20199553 or 20199552?
20199553
Which is smaller: -74 or 2/425903?
-74
Is -273 smaller than 0.27154?
True
Which is smaller: -2.000651 or -2?
-2.000651
Is -62 less than or equal to -71292/1123?
False
Which is bigger: -387/531736 or 0?
0
Which is greater: -473387/2 or 0.05?
0.05
Which is bigger: 16163782 or 16163781?
16163782
Which is greater: -1 or -11/30320779?
-11/30320779
Are 54941250 and 4 unequal?
True
Is 168 greater than or equal to 75794/455?
True
Is 1 at most 1/18716371?
False
Which is smaller: 313 or -134672?
-134672
Is 149706 less than or equal to 149798?
True
Which is smaller: -18505 or -1623?
-18505
Which is bigger: -41 or 2131444?
2131444
Is -22.2603 > -948?
True
Do -52/3224235 and 1 have the same value?
False
Which is smaller: -22/17264733 or -0.2?
-0.2
Is 19440916 smaller than -13?
False
Is 4/68645279 at least 0?
True
Does -931/108317 = 0?
False
Is -1413227 at least as big as -1413230?
True
Which is smaller: 0.35769 or 21?
0.35769
Is 84 equal to 2540.57?
False
Which is greater: -2/7 or 64046409.9?
64046409.9
Which is smaller: 321425 or 321422?
321422
Which is smaller: -3/286968781 or -1?
-1
Which is bigger: -19 or -102141/5158?
-19
Are -1979706 and -17817347/9 non-equal?
True
Are 2820875 and 2820870 unequal?
True
Is -335505 less than or equal to -333996?
True
Is -396574 less than -396548?
True
Is -0.0255 greater than 1065?
False
Which is greater: 1.28472 or 1.7?
1.7
Which is smaller: 3/149136760 or 1?
3/149136760
Is -186266275 at most as big as -186266273?
True
Is -0.04819822 less than -0.12?
False
Is 3 greater than or equal to 32323/11574?
True
Is 1 >= 6313/310655?
True
Which is smaller: 5126123 or 5126121?
5126121
Is 913 at most as big as -9930?
False
Is 58070 > 2032402/35?
True
Is 58381/10374 less than 7?
True
Which is bigger: 379 or 756348/1993?
756348/1993
Are 2 and -26178044 unequal?
True
Which is smaller: -17.955 or 419/2?
-17.955
Which is greater: -75/100721 or 1?
1
Which is smaller: 1784209 or 30331548/17?
30331548/17
Which is smaller: 100969/129 or 0.07?
0.07
Which is smaller: 176275405 or 881377023/5?
881377023/5
Are -49 and -42240/871 non-equal?
True
Is -243/483523 >= 1?
False
Which is smaller: 4111187 or -22?
-22
Which is bigger: -38849006 or -38849009?
-38849006
Which is smaller: -14237 or 6728?
-14237
Are -121696135 and -121696134 non-equal?
True
Which is smaller: -323644 or -1/6?
-323644
Is -40249/1191 bigger than -34?
True
Which is smaller: -527204 or -527210?
-527210
Which is bigger: -483382 or -2900285/6?
-2900285/6
Is -2 != -1599513?
True
Is -25301/2063 greater than or equal to -11?
False
Is 155731374 at least 155731374?
True
Do 31823 and 35412 have the same value?
False
Which is bigger: -239142127/9 or -26571346?
-26571346
Which is smaller: 8125 or 311?
311
Is -2695298 equal to -2695282?
False
Which is bigger: -114240111 or -114240112?
-114240111
Which is smaller: 990157 or 990162?
990157
Which is smaller: 46921 or 46268?
46268
Which is greater: 1/4 or 34244065?
34244065
Which is smaller: -11.5071 or -482?
-482
Which is greater: 39985 or 40031?
40031
Which is smaller: 8484934 or 8484932?
8484932
Is 3 >= 131/363388?
True
Are -1645242753 and -1645242753 non-equal?
False
Which is smaller: -148/283101 or -1?
-1
Which is greater: 1108510 or -21.4?
1108510
Is 14/19227 > -6?
True
Are 22435 and -71 unequal?
True
Which is bigger: 456 or -167129?
456
Are 11 and -34/59561 nonequal?
True
Which | {
"pile_set_name": "DM Mathematics"
} |
59
List the prime factors of 41738371.
41738371
List the prime factors of 5817982.
2, 41, 70951
What are the prime factors of 31215634?
2, 293, 53269
What are the prime factors of 28033715?
5, 2053, 2731
List the prime factors of 63910761.
3, 21303587
List the prime factors of 95262603.
3, 31754201
List the prime factors of 1021903650.
2, 3, 5, 2270897
What are the prime factors of 29100215?
5, 83, 70121
List the prime factors of 101832782.
2, 50916391
What are the prime factors of 41698977?
3, 17, 19, 23, 1871
What are the prime factors of 2804277791?
7, 233, 35089
What are the prime factors of 1566660?
2, 3, 5, 26111
List the prime factors of 228752513.
11, 179, 116177
What are the prime factors of 133095331?
9803, 13577
List the prime factors of 79515161.
11, 7228651
What are the prime factors of 882460853?
13187, 66919
List the prime factors of 58143479.
107, 523, 1039
List the prime factors of 459048709.
7, 9368341
What are the prime factors of 55946120?
2, 5, 23, 60811
List the prime factors of 379290109.
11, 257, 12197
List the prime factors of 2052257275.
5, 82090291
What are the prime factors of 1341303592?
2, 29, 463, 12487
List the prime factors of 24394813.
17, 199, 7211
List the prime factors of 443196968.
2, 3187, 17383
List the prime factors of 3797543272.
2, 29, 79, 207199
List the prime factors of 536522691.
3, 178840897
What are the prime factors of 3212622322?
2, 7, 13, 41, 263, 1637
List the prime factors of 48962545.
5, 9792509
List the prime factors of 47803409.
47803409
What are the prime factors of 1688519275?
5, 67540771
List the prime factors of 20091975.
3, 5, 267893
What are the prime factors of 87138963?
3, 3227369
List the prime factors of 136997472.
2, 3, 607, 2351
What are the prime factors of 655628410?
2, 5, 151, 434191
What are the prime factors of 13130424?
2, 3, 23, 881
What are the prime factors of 174272244?
2, 3, 14522687
List the prime factors of 329468757.
3, 37, 233, 12739
What are the prime factors of 86165241?
3, 47, 611101
List the prime factors of 22383620.
2, 5, 7, 101, 1583
List the prime factors of 321411211.
11, 113, 2137
List the prime factors of 63149873.
63149873
What are the prime factors of 48310643?
48310643
What are the prime factors of 998834790?
2, 3, 5, 33294493
What are the prime factors of 430834535?
5, 113, 762539
List the prime factors of 336653779.
7, 11, 29, 107, 1409
List the prime factors of 44302280.
2, 5, 11, 107, 941
What are the prime factors of 72586506?
2, 3, 12097751
What are the prime factors of 25023744?
2, 3, 10861
List the prime factors of 93848558.
2, 46924279
List the prime factors of 920048296.
2, 17, 43, 157327
List the prime factors of 304118767.
5039, 60353
What are the prime factors of 145284680?
2, 5, 307, 11831
What are the prime factors of 6816329557?
6816329557
What are the prime factors of 8067502?
2, 31, 130121
What are the prime factors of 38356603?
38356603
What are the prime factors of 3130291481?
17, 2069, 88997
List the prime factors of 1446414801.
3, 13, 47, 789097
What are the prime factors of 10859979?
3, 13, 23, 12107
List the prime factors of 49304259.
3, 19, 373, 773
What are the prime factors of 710962593?
3, 11, 17, 563, 2251
What are the prime factors of 211083360?
2, 3, 5, 157, 2801
What are the prime factors of 119408968?
2, 7, 2132303
What are the prime factors of 812582852?
2, 203145713
List the prime factors of 3281111664.
2, 3, 68356493
What are the prime factors of 25457041?
17, 29, 51637
What are the prime factors of 12154229?
79, 137, 1123
What are the prime factors of 102377459?
61, 1678319
What are the prime factors of 329404817?
7, 719, 65449
List the prime factors of 67056586.
2, 19, 353, 4999
List the prime factors of 361894656.
2, 3, 471217
List the prime factors of 3127046127.
3, 1042348709
List the prime factors of 537097626.
2, 3, 13, 17, 135017
List the prime factors of 7028501249.
7, 11, 13039891
List the prime factors of 241863041.
7, 1423, 24281
List the prime factors of 99467398.
2, 383, 129853
List the prime factors of 565533636.
2, 3, 2389, 19727
List the prime factors of 1321249913.
33359, 39607
What are the prime factors of 97826753?
89, 1099177
What are the prime factors of 445920442?
2, 11, 191, 106121
What are the prime factors of 2772283131?
3, 102677153
List the prime factors of 3910376416.
2, 122199263
What are the prime factors of 7625774?
2, 13, 37, 7927
What are the prime factors of 956340423?
3, 17, 6250591
List the prime factors of 13142300.
2, 5, 19, 6917
What are the prime factors of 104487355?
5, 7, 17, 25087
What are the prime factors of 228867803?
181, 1039, 1217
List the prime factors of 753135886.
2, 31, 12147353
List the prime factors of 2592643748.
2, 648160937
List the prime factors of 22394275.
5, 895771
List the prime factors of 386495761.
89, 4342649
What are the prime factors of 4536322488?
2, 3, 21001493
What are the prime factors of 213803145?
3, 5, 527909
List the prime factors of 298509272.
2, 23, 1622333
What are the prime factors of 805664303?
3121, 258143
What are the prime factors of 56484246?
2, 3, 7, 13, 103451
What are the prime factors of 232912332?
2, 3, 1201, 5387
What are the prime factors of 7976576956?
2, 53, 37625363
List the prime factors of 83578603.
79, 1057957
List the prime factors of 1581266.
2, 790633
List the prime factors of 1908413285.
5, 17, 22451921
List the prime factors of 226991421.
3, 53, 467, 1019
What are the prime factors of 48409717?
71, 181, 3767
What are the prime factors of 496584763?
73, 997, 6823
What are the prime factors of 93963162?
2, 3, 15660527
List the prime factors of 69275227.
7, 47, 193, 1091
List the prime factors of 5347911301.
41, 293, 337, 1321
What are the prime factors of 5898471?
3, 281, 6997
What are the prime factors of 56527826?
2, 1033, 27361
What are the prime factors of 4572456788?
2, 61, 3023, 6199
What are the prime factors of 159162236?
2, 109, 223, 1637
What are the prime factors of 337823530?
2, 5, 11, 89, 3137
List the prime factors of 116178834.
2, 3, 19363139
What are the prime factors of 18191009?
101, 233, 773
List the prime factors of 733634820.
2, 3, 5, 191, 2371
List the prime factors of 934314263.
53, 67, 107, 2459
What are the prime factors of 51773689?
11, 19, 31, 61, 131
What are the prime factors of 672396157?
89, 7555013
What are the prime factors of 3064825211?
7, 73, 113, 53077
List the prime factors of 117082818.
2, 3, 1697, 3833
List the prime factors of 107638354.
2, 73, 163, 4523
What are the prime factors of 51170239?
23, 29, 76717
What are the prime factors of 23868355?
5, 7, 41, 16633
List the prime factors of 22215615.
3, 5, 1481041
What are the prime factors of 49187566?
2, 24593783
List the prime factors of 101944684.
2, 59, 487, 887
What are the prime factors of 1562621275?
5, 19, 109, 30181
List the prime factors of 103900706.
2, 7, 13, 23, 24821
What are the prime factors of 15428702?
2, 617, 12503
List the prime factors of 113839721.
113839721
List the prime factors of 812536187.
149, 239, 22817
List the prime factors of 223217869.
7, 4129, 7723
List the prime factors of 32474584.
2, 53, 191, 401
What are the prime factors of 58254551?
19, 43, 113, 631
What are the prime factors of 84250476?
2, 3, 641, 1217
What are the prime factors of 55169180?
2, 5, 11, 23, 10903
List the prime factors of 37462616.
2, 163, 28729
What are the prime factors of 108059372?
2, 1237, 21839
List the prime factors of 15343911.
3, 11, 17, 1013
What are the prime factors of 34066973?
37, 920729
What are the prime factors of 536547936?
2, 3, 419, 13339
List the prime factors of 372820277.
43, 8670239
List the prime factors of 23088177.
3, 7, 366479
List the prime factors of 376419580.
2, 5, 107, 175897
List the prime factors of 31530240.
2, 3, 5, 7, 17, 23
List the prime factors of 23574671.
23574671
List the prime factors of 44156843.
44156843
What are the prime factors of 138564675?
3, 5, 7603
What are the prime factors of 510496363?
13, 37, 1061323
What are the prime factors of 66361865?
5, 883, 15031
What are the prime factors of 161527849?
7, 23075407
What are the prime factors of 275567511?
3, 53, 1733129
What are the prime factors of 1492055907?
3, 6199, 80231
List the prime factors of 6392501356.
2, | {
"pile_set_name": "DM Mathematics"
} |
8
Work out 0.5 * 1386526.
693263
Product of 0.1 and 2786658.1.
278665.81
-42*-2097599
88099158
327 * -106709
-34893843
Work out -0.13714369 * -6.
0.82286214
Work out -1202.1 * -4903.
5893896.3
What is the product of 34.76919 and 15?
521.53785
What is -0.11611902 times 0.4?
-0.046447608
What is the product of 3 and 145660?
436980
Work out -361 * -2455.6.
886471.6
Work out -10136.029 * 0.3.
-3040.8087
Product of -46214.5832 and -5.
231072.916
Work out -0.4 * -62505261.
25002104.4
-39374.67*-0.3
11812.401
Calculate -4306565*1.39.
-5986125.35
981 times 1149
1127169
0.2 * -30135808
-6027161.6
Calculate 1.135*-2.6.
-2.951
What is the product of -6.24651 and 25?
-156.16275
Work out -767 * 7.4.
-5675.8
Work out 7 * -198017.64.
-1386123.48
What is the product of 26404996 and -1.9?
-50169492.4
537 times 312341
167727117
What is -0.0030048 times 124?
-0.3725952
Calculate 0.305192*-39.
-11.902488
-0.0397 * 2678.43
-106.333671
What is the product of -2241205 and 310?
-694773550
What is the product of -4216 and -17511?
73826376
-73*-4363581
318541413
What is the product of -951564 and 0.4?
-380625.6
1568626.4*0.3
470587.92
Work out -4.84014 * 30.
-145.2042
Multiply -3 and -0.10804862.
0.32414586
-39 * 25842
-1007838
Calculate 156071.364*-1.
-156071.364
1035 * -13317
-13783095
What is -27.9247 times 0.07?
-1.954729
Multiply 422715682 and 0.4.
169086272.8
Product of -1.7358 and 15757.
-27351.0006
-122 times 24629.76
-3004830.72
-0.24*117261
-28142.64
-8.3988 * 3109
-26111.8692
4 times 1.7619687
7.0478748
Multiply -15439.4 and -0.5.
7719.7
Multiply 2416930.4 and 5.
12084652
Work out -317.98 * -1428.9.
454361.622
Multiply 170600 and -2068.
-352800800
Multiply -1.5 and 138.523.
-207.7845
What is the product of 0.0136385 and -0.5?
-0.00681925
-0.290321449 times -5
1.451607245
-21514482 * 0
0
What is 114.44 times 548?
62713.12
-29167621 * 2
-58335242
Calculate -5.6321*-0.9.
5.06889
What is the product of -3973 and 3618?
-14374314
Product of -3652.2261 and -0.8.
2921.78088
Work out -5 * 5923919.
-29619595
-0.7 times 308656
-216059.2
What is the product of -20972 and 3011?
-63146692
Calculate -42*-32678.
1372476
34.94139*-1
-34.94139
-0.058 times 6222770
-360920.66
1 times -1632.637
-1632.637
-1624 * -15803
25664072
Calculate -9908*-53688.
531940704
Multiply 0.4 and -28550852.7.
-11420341.08
What is 9210 times 0.29086?
2678.8206
What is the product of 838495 and -0.01?
-8384.95
Work out 0.001194 * 15722.
18.772068
What is -25403697 times 2?
-50807394
What is the product of 1 and -0.3601588?
-0.3601588
44192.96 * 0.43
19002.9728
Work out -0.15 * -5331.19.
799.6785
-8.458 * -0.08006
0.67714748
Product of -2048 and -44855.
91863040
Work out 3 * 33881858.
101645574
4218617 * -2
-8437234
What is the product of 9446405 and -0.03?
-283392.15
Calculate -15*0.07721812.
-1.1582718
Work out 118 * -20363.
-2402834
69.278644*-0.4
-27.7114576
-196280*-15.1
2963828
What is the product of -12129134 and -0.3?
3638740.2
Work out -15.89 * 16348.
-259769.72
-0.033*-3916701
129251.133
-1863 times 0.27903
-519.83289
What is 10 times -0.229521?
-2.29521
Multiply 936.16 and -2154.
-2016488.64
What is the product of -111730288 and 0.3?
-33519086.4
-4.1258829*-1
4.1258829
-146 times 29.4793
-4303.9778
What is the product of 1795.9192 and 16?
28734.7072
Product of 7 and 2120937.21.
14846560.47
0.6878*19008
13073.7024
Calculate 26566415*-0.2.
-5313283
-7 times 11341.7
-79391.9
0.5 times -11195578
-5597789
1.6*944849
1511758.4
Calculate -150.0869*0.08.
-12.006952
Work out -83241 * 1947.
-162070227
1022.01 * 151
154323.51
Multiply -58280586 and 2.
-116561172
Work out -3.11 * -16552.
51476.72
Multiply -36931 and -2.96.
109315.76
415 times -3018531
-1252690365
-125.5978*28
-3516.7384
Multiply 37.2306 and -160.
-5956.896
Work out -758455 * 0.29.
-219951.95
Product of -1 and 1247.22.
-1247.22
-59681.6 times 6.23
-371816.368
Calculate 17.54*-6070.
-106467.8
What is -19693 times -2.4?
47263.2
What is 27 times 6030198?
162815346
0.0316026 * -3.6
-0.11376936
Calculate 1289*936589.
1207263221
-8.31 * -12772
106135.32
0.03763 times -0.17491
-0.0065818633
Work out 0.05 * -30.991327.
-1.54956635
-35 * -396766
13886810
Product of -0.036 and 12166906.
-438008.616
-995.4 * -33
32848.2
Work out 436078 * -421.
-183588838
What is the product of 780 and -262977?
-205122060
Product of 5163 and -11761.
-60722043
50518 times -6.4
-323315.2
Product of -243.63948 and -0.2.
48.727896
What is 0 times -90.9738?
0
Calculate -51*-81.7229.
4167.8679
-10*-772.822
7728.22
373873686 times 1
373873686
Multiply 491.4 and 0.404.
198.5256
-58.16*0.0619
-3.600104
Calculate 1855648508*-0.4.
-742259403.2
What is -17092 times -47.462?
811220.504
What is the product of -351410 and -0.2?
70282
Calculate 10853*0.016.
173.648
What is -271 times 44461?
-12048931
What is 0.724 times -6066?
-4391.784
Calculate 9920708*18.
178572744
Work out 185540 * -468.
-86832720
Calculate 438*222039.
97253082
-0.674729*0.13
-0.08771477
-118452.8 * -1
118452.8
What is -246929553 times 0.5?
-123464776.5
What is the product of 1015118 and -20?
-20302360
5*65907.47
329537.35
Product of -1.196 and 415.
-496.34
What is the product of 0.04 and -50.33691?
-2.0134764
Calculate 0.05298256*5.5.
0.29140408
What is 30.03 times -13.595?
-408.25785
92.12904*-6
-552.77424
What is the product of -11.522 and 0.05992?
-0.69039824
Multiply 36281 and 2.1158.
76763.3398
What is the product of 0.1936 and -302526?
-58569.0336
Product of -1318 and 20.877.
-27515.886
-3.7*12895994
-47715177.8
-245921*-0.129
31723.809
Product of 9 and -52231352.
-470082168
Multiply 16.9338 and -225.
-3810.105
Multiply -81 and -274.9.
22266.9
What is the product of -17 and 397.026?
-6749.442
Work out -0.03 * 24654815.
-739644.45
129*-0.056989
-7.351581
Multiply -46.9 and -13159.
617157.1
1 times -1263811.8
-1263811.8
What is 0.0277 times 4.33371?
0.120043767
-14876.5 times 5.5
-81820.75
0.105554*-31
-3.272174
-1010.5344 times -0.3
303.16032
3731502 * 0.1
373150.2
Multiply -298.7 and 0.0573.
-17.11551
0.3*126314
37894.2
33485 times 9
301365
Work out -75 * -113.0722.
8480.415
What is the product of -128368.99 and -0.5?
64184.495
Multiply -18119230 and 0.5.
-9059615
Product of 0.11 and -76809443.
-8449038.73
What is -2 times 41231.12?
-82462.24
2249 times 3.879
8723.871
-18548121 * -5
92740605
395 * -377.3
-149033.5
-223.7*98.37
-22005.369
What is 0.01972809 times 7.7?
0.151906293
What is -87081385 times 4?
-348325540
Work out 3771 * 1.40091.
5282.83161
Work out 16 * -693596.
-11097536
18583*478
8882674
-2 * 0.072064
-0.144128
-0.089249 times 913
-81.484337
What is 5486 times 0.0842?
461.9212
Multiply -34.169 and -6482.
221483.458
824*188550
155365200
12.9181 times 0.8
10.33448
Multiply -22128475 and -3.
66385425
Work out -0.33 * -4157.552.
1371.99216
Work out 343.619 * -1.1.
-377.9809
Product of -2 and -0.01055012.
0.02110024
0.1*100687974
10068797.4
503.78*-2354
-1185898.12
What is the product of -0.37 and 0.0615587?
-0.022776719
82814*-5.9
-488602.6
What is the product of 24174770 and 1?
24174770
What is the product of -3 and -797.62541?
2392.87623
168091 times 1106
185908646
-40 times -144443.8
5777752
What is the product of -1179103 and -0.06?
70746.18
What is 3 times 7578598.8?
22735796.4
Multiply 1.284737 and 0.1.
0.1284737
Multiply 3.92 and -41792.
-163824.64
-0.5 times 78475177
-39237588.5
Work out 5390345 * 0.1.
539034.5
What is the product of -19059 and -683?
13017297
Multiply -0.02712 and -23822.
646.05264
13679*30.39
415704.81
Product of -586.1725 and -0.06.
35.17035
-1786*16.394
-29279.684
Calculate 32*1309495.
41903840
Work out -2929386 * -0.3.
878815.8
0.03978*-0.8923
-0.035495694
-551*-8955
4934205
Multiply -0.2 and 11.57195.
-2.31439
Calculate -159267.3*-0.7.
111487.11
What is 2 times 3477?
6954
What is -0.487 times -2462.4?
1199.1888
Work out 8.277793 * 0.4.
3.3111172
-0.01*-2.045456
0.02045456
Work out -0.3 * -1692203.
507660.9
Multiply 26.6 and 3.1736.
84.41776
5 times -235676048
-1178380240
What is 1457 times 4.8544?
7072.8608
What is the product of -45.3 and -21126?
957007.8
Product of 7.864 and 4.43.
34.83752
-130506*-0.079
10309.974
Calculate 91046*-589.
-53626094
36*11893186
428154696
7.9*6441.42
50887.218
35*213676
7478660
Product of 3505 and -128.71.
-451128.55
Product o | {
"pile_set_name": "DM Mathematics"
} |
/(0 - (-6)/40).
8/7
-17 - (21 - 28) - (0 + -2)
-8
Evaluate (-12)/3 - (12 + ((-222456)/1068)/13).
2/89
What is the value of (-1)/(-6) + 9/216*5?
3/8
Evaluate (-12)/(-14) - ((-14)/(-147) - (-16)/24).
2/21
What is the value of (-11 + (-1000)/(-90))*15/5?
1/3
What is the value of (-3)/(6/(-8))*(0 + 42 + -43)?
-4
What is the value of ((-225)/15)/(-5) - 27?
-24
What is the value of (140/10 - 18) + 156/38?
2/19
Evaluate 8/(-126) + 102/(-459).
-2/7
876/132 - 21 - 8/(-22)
-14
Evaluate (5 + 0)*66/231.
10/7
232*18/(-384) - ((-1 - -2) + -12)
1/8
What is the value of (7/(-42))/((-4)/(-18))*632/4503?
-2/19
What is the value of (3/4)/(51/136)*(-15)/30?
-1
What is (6 - (-2)/6)*(24 + 0)/8?
19
Evaluate 1 + 15/210*0 + 17.
18
What is 0 + (-255)/(-78) + -3 + (-36)/72?
-3/13
Evaluate 12/8*((-21)/(-35))/(72/160).
2
What is the value of (-140)/630*(-18)/(-20)?
-1/5
-6 - (110/(-70) + -4)
-3/7
Calculate (-32)/(-4)*18/(-24) - 624/(-108).
-2/9
-4 + 351/45 + (-7 - -3)
-1/5
What is the value of 36*243/(-432) + 21?
3/4
7*((-176)/(-630) + 2/63*-7)
2/5
Calculate ((-8)/(-420)*-7)/((-10)/(-345)).
-23/5
Evaluate (-5 + (-248)/(-48))*-78.
-13
(0 - -2)/(-63 + 58)*75/24
-5/4
Calculate ((-21)/((-294)/(-28)))/((36/(-32))/(-9)).
-16
Calculate (-15)/(0 - -3) - 27/(27/4).
-9
Evaluate -4 + 104*(-15)/(-120).
9
What is the value of ((-10)/3)/(2620/(-2358))?
3
Evaluate (-13 - -24 - 4)*(4 + -7).
-21
What is (-15)/(-20)*32/(-12) + -6 + 2?
-6
What is the value of 8/((-1 + 4)*(-4)/(-3))?
2
-9 + (3764/390 - (9 - (-4537)/(-507)))
3/5
What is (-116)/(-6) - (259 + -240)?
1/3
What is the value of (4137/(-60282))/(1 + 11/(-4))?
2/51
Evaluate (13/((-780)/(-24)))/(-2 - 324/(-165)).
-11
What is (1/((-125)/(-10)))/((357/15)/17)?
2/35
Calculate (-70)/(-25)*(10/(-4))/(-1)*1.
7
Calculate ((-384)/126 + 250/75)/((-10)/14).
-2/5
What is -1*10 - (-21385)/2115?
1/9
Calculate (-636)/(-960) - 1/16.
3/5
Evaluate (3 - 25)/(2/13 - (-1485)/1755).
-22
What is 9/(-8) + ((-6)/(-144) - 18/(-216))?
-1
What is the value of (1/(-6))/(161/(-11592))?
12
What is the value of (-274)/822 - (-13)/57?
-2/19
What is -45 + (-1308)/(-30) + 0?
-7/5
Evaluate (((-168)/(-408))/7)/1.
1/17
What is ((-44)/(-341)*31)/(6/9)?
6
What is 35 - -63*(-80)/180?
7
What is 10/(-3)*5670/1575?
-12
What is the value of (4/(-3) + 1)/2*(-603)/(-804)?
-1/8
(-2385)/(-115) - 9 - (-1 - -9 - -4)
-6/23
Evaluate ((-9)/42)/(463/2778).
-9/7
What is the value of 43/172*(-8)/6?
-1/3
Evaluate 649/59 + -16 + -1.
-6
What is (((-28)/182)/(55/(-143)))/(4/310)?
31
Calculate (6/10)/(7/(140/(-174))).
-2/29
What is (0 - 0)/((-156)/130 + 7/35)?
0
What is ((-708)/885)/(104/(-30))?
3/13
What is the value of (-2)/7 + ((-2)/3)/(308/(-160))?
2/33
Calculate (-4477)/(-740) + (-2)/40.
6
Evaluate -46 + 52 - (14/(-3) + (-3)/9).
11
Evaluate (413/21 - 16) + (-6 - -7).
14/3
-3*(-1 - (1378/(-273) - -4))
-1/7
What is ((-398)/5572)/(1 - (-3)/(-2))?
1/7
Calculate 35/(-2 + 9) - 8.
-3
Calculate ((-68)/4)/(-153) - (-170)/9.
19
What is the value of -7*(7 - 2483/91 - -19)?
9
What is (-184)/(-425) - (-682)/(-8525)?
6/17
Evaluate 4/2 + 1/(3/(30/5)).
4
(-70)/(50/(-5)) - 158/22
-2/11
-1588*(-26)/(-1976) + 21
2/19
36 + -12 + (10 - 16)
18
What is 115/(-28) - 24/294*(-798)/76?
-13/4
Evaluate 4*(-4)/2 - (-28 + 6612/330).
-2/55
Evaluate (-273)/26 + (-35)/(-14).
-8
Evaluate (-45)/132*(-88)/220.
3/22
What is (-8)/266*49/14?
-2/19
((-19344)/3472)/(12/(-28))
13
What is the value of (-3)/(-18) - (-1)/(-2) - 22103/4278?
-11/2
Calculate (0*(-2)/2)/(-1*(4 + -1)).
0
What is (190 - 184)*(-5)/8*96/(-10)?
36
What is the value of -16 - 14807/(-323) - 30?
-3/19
(45/(-2) - 0)/((-2256)/(-3008))
-30
5 + -2 + 5 - ((-209)/88 + 11)
-5/8
((-45)/(-27) - 92/48)/((-3)/(-2))
-1/6
Evaluate ((-1991)/1991)/((-2)/(-16)*2 - 0).
-4
-35 - (-19)/(7980/14660)
-2/21
(-163 - -163)/((-2 - 0)/(-1))
0
Calculate ((3/(-2))/((-10)/8))/(3152/7880).
3
What is 392/63 + 4 + -2 - 10/45?
8
(-6 + (-412)/(-56))*10 - (-104)/(-182)
13
What is ((-1)/4)/((-126)/(-36) - 6)?
1/10
Calculate (-2)/(((-342)/117)/(-19)).
-13
What is the value of 24/((-528)/1342) - -33?
-28
((-16)/(-72))/(31/(-558))
-4
Calculate -6*((-20)/(-24) + 35/10 + -4).
-2
Calculate ((-7)/(63/(-18)) - 11)*1.
-9
What is 814/(-37) - (7 + -33)?
4
(-76)/(-57)*9/(-12)
-1
What is -6*((-33)/(-12) + -3)?
3/2
What is ((-1130)/190 + 9 + -4 + 1)*-2?
-2/19
(-14)/1*(13 + (-64)/(-40)*-8)
-14/5
What is the value of (-17)/((-476)/(-120)) + -8 + (-4 - -15)?
-9/7
Calculate (6/8)/(10 + 32571/(-3276)).
13
What is the value of (75 - (52 - 1))*3/(-4)?
-18
What is (-16 + 18)/(5/((-30)/(-27)))?
4/9
What is ((-3)/((-300)/8))/(((-280)/(-25))/(-7))?
-1/20
Evaluate ((-7 - -5) + (-13)/(-5))/((-1)/(-20)).
12
Evaluate (2/(-34))/((-351)/11934).
2
What is the value of (-6*385/(-198) - 11)/(2/3)?
1
Calculate (50/(-43 + 18))/((-22)/(-77)).
-7
What is the value of ((-8)/(-18) - 429/702)*6/15?
-1/15
-44 + 23 - 1443/(-69)
-2/23
What is (-21547)/2229 + (-1)/3?
-10
133/(-49) - ((-45)/(-84) - (-2)/(-8))
-3
56803/30702 + 96/(-5712)
11/6
What is the value of 3/10 + (-34)/80?
-1/8
What is the value of -1*(-2)/(-3)*(-216)/(-16)?
-9
Evaluate 1780/712*((-21)/(-15) - 3).
-4
Calculate 69/1035 + (-166)/15.
-11
Evaluate 59 - 13800/322 - 2/14.
16
What is (-2)/11*11*54/(-12)?
9
What is 7 - 2 - (10/((-30)/9) + 1)?
7
What is the value of 5616/(-378) - 6*8/(-56)?
-14
What is the value of ((-13)/(-3) + -3)*(-549)/(-4026)?
2/11
Calculate (-10)/16 - 5694/(-8112).
1/13
What is the value of (-6)/(75/(-10) + 9)?
-4
Calculate (8/(-30))/(68/(-612))*(-75)/10.
-18
What is 426 + -428 - 4*-2?
6
(180/(-420))/(18/(-7))
1/6
What is ((-88)/6)/(-2 + 28) - 1420/(-1065)?
10/13
(-17 - (-1826)/110)/(6/(-45)) + -28
-25
What is (1*1/(-2))/((-26)/(-416))?
-8
Evaluate 33/60 + 99/(-55) - 57/(-4).
13
((-4)/(-14))/((-54)/(-117)) + 2/3
9/7
What is the value of (19/(-1368)*-120)/((-10)/(-12))?
2
1/(8 - (-328)/(-40))
-5
Evaluate (0 - 3/(-8))/(18/(-8208)*-19).
9
Calculate ((-16182)/(-812) - 21)*(-1)/(-2 - -7).
3/14
Evaluate (-29)/(-116)*(3 + -3 - -4).
1
Evaluate (-1 - (-32)/33) + (-180)/(-495).
1/3
2/(-2)*(-191 + 188)
3
What is (-12 + 1659/105)/(1/(-5))?
-19
Evaluate (440/30)/((-2)/3)*(-35)/(-70).
-11
Evaluate (97 - 109) + -13 + 49.
24
102/(-238) - (-96)/126
1/3
Calculate (-175)/45 - ((-2)/(-39) - (-2475)/(-351)).
28/9
Evaluate (-638)/(-55) + (-112)/70.
10
((-36 - -8)/7)/(8 - 10)
2
Calculate (-35*8/(-40))/(-3 - -2).
-7
Evaluate 20/6*(4/(-5) - (-96 - -95)).
2/3
Calculate (-119)/34*(-12)/42.
1
What is 82/(-30) - -49*(-24)/(-840)?
-4/3
What is ((-4)/(-34) - 79/((-8058)/(-420))) + 23?
19
Calculate (5/(-21))/((-1000)/400).
2/21
418/570 - (0 - ((-8)/(-2))/(-12))
2/5
What is the value of 1/3*((-1414)/(-28) - 4)*-2?
-31
What is the value of (-1)/(-6) + (312/208)/((-36)/4)?
0
What is 156/(-91)*9*(-77)/(-66)?
-18
19/(-209) + (-24)/(-22) - 5
-4
Calculate (-13 - -22) + -9 - (-2)/52.
1/26
((-55)/(-22))/((-4)/(-16))
10
Evaluate 8/(-28) - (-1794)/644.
5/2
What is the value of (-736)/580 + 1 - (-2 - (-36)/20)?
-2/29
Evaluate (-620)/55 + 1512/1188.
-10
What is (4/(-4))/((-24)/1440*-6)?
-10
What is 247/361*(-60)/(-390)?
2/19
What is the value of (6/40)/(117/455)*(-9)/(-7)?
3/4
What is (10 + 51/(-6))/(14/(1344/(-54)))?
-8/3
Calculate (-352)/(-840) + (5 - (-74)/(-14)).
2/15
Evaluate (-8368)/(-560) - (-7 + 16) - (-2)/35.
6
What is ((-284 - -285)*(-5)/(-29))/5?
1/29
What is the value of ((-1710)/(-20))/(-19)*(-6)/(-9)?
-3
(18/(-14))/3 + -13*(-261)/26390
-3/10
What is the value of (-2451)/190*(-5)/(-7) - -9?
-3/14
What is the value of 12/16 + (1 - 15/(-12))?
3
What is -5 - -3 - 72/(0 - -8)?
-11
((-12 - -17) + -2)*(-5 + (-7 - -7))
-15
What is the value of (8/(-3) - -2)*549/1464?
-1/4
Calculate ((-432)/9)/(-6) + 5 - (1 + 1).
11
What is (-3 - (-18)/(-12))*60/18?
-15
Calculate 3/(-5)*(100/(-6) + (-325)/195).
11
Calculate (804/(-2211))/((-82)/22 + 4).
-4/3
Evaluate 1232/224*(-2)/(-22).
1/2
Evaluate -16 - -2 - (261/(-29) + -5).
0
Calculate -3 + 5 + 1855/(-945).
1/27
(9/(-6))/(((-990)/(-40))/(-11))
2/3
Evaluate -8*(52/16 - 0 - (20 - 16)).
6
What is the value of ((-10)/(-32))/(-115 + 120)?
1/16
(-27772)/1378 - 5*-4
-2/13
What is (-21)/1 - (-440 + 437)?
-18
What is 3/(-6) + (-91)/(-26) + 1?
4
What is the value of 1/(-1 + 88/80)*1/(-6)?
-5/3
What is the value of (-208)/(-585) + (-6)/4 + (-420)/(-216)?
4/5
Evalu | {
"pile_set_name": "DM Mathematics"
} |
is divided by 22?
19
Suppose -75 + 30 = -9*t. Calculate the remainder when 29 is divided by t.
4
Let g(s) be the second derivative of 4*s**3/3 - 105*s**2/2 + 3*s + 11. What is the remainder when g(20) is divided by 4/6 + (-55)/(-3)?
17
Let a be (4/18*-3)/(32/(-16464)). Suppose -5 = 3*g + 2*g, 5*b + 2*g - a = 0. Calculate the remainder when b is divided by 36.
33
Let t = -164 - -110. Suppose -5*v = 4*w - 23, -18 = 5*v + 7. What is the remainder when w is divided by (-2)/5 + t/(-10)?
2
Suppose -2*m + 194 = -2*k, -2*k - 6 = -k. Let l = -53 + 84. Calculate the remainder when m is divided by l.
29
Suppose 2*j = -2*m - m - 61, -5*m + 3*j - 70 = 0. Let b(s) = s**2 + 14*s - 21. Calculate the remainder when 118 is divided by b(m).
28
Let c(h) = h**3 - 10*h**2 - 7*h - 21. Let f = -97 - -142. What is the remainder when f is divided by c(11)?
22
Let n = 38 + -38. Suppose -3*u - c + 50 = 0, n = 4*c - 14 - 6. Calculate the remainder when u is divided by 8.
7
What is the remainder when (-1325)/(-10)*36/30 is divided by 39?
3
Calculate the remainder when 80 is divided by ((-152)/16 + 9)/(4/(-112)).
10
Let t(a) = -a**2 + 25*a - 7. Let z be (-825)/15*(-2)/5. Calculate the remainder when t(z) is divided by 20.
19
Let n(g) = 18*g**2 + g. Suppose -5*u = -2*j - 10, u + 32 = -3*j - 0*u. Calculate the remainder when ((3 - -3)/1)/(j/(-55)) is divided by n(-1).
16
Let z = -52 + 25. Let g = -17 - z. What is the remainder when 17 is divided by 1 - g/(-6 - -4)?
5
Suppose -6*n + 1100 = 19*n. Calculate the remainder when n is divided by 16.
12
Suppose -12 = 3*a, -s + 2*a + 36 = s. What is the remainder when (15/10)/((-2)/(-32)) is divided by s?
10
Let n = 74 - 46. What is the remainder when n is divided by 5?
3
Let w = 306 - 295. What is the remainder when 361 is divided by w?
9
Suppose -3*y = 2*a + 9 - 34, 0 = -3*a - 3*y + 45. What is the remainder when 96 is divided by a?
16
Suppose -4*s + 6*s = 60. Suppose 0 = -3*r + 24 + s. What is the remainder when r is divided by 13?
5
Suppose 4*j = -i + 59, -38 = -4*i + 5*j + 198. What is the remainder when i is divided by 20?
19
Suppose 92*a = 91*a + 8. What is the remainder when 23 is divided by a?
7
Let k(s) = 12*s - 7. Calculate the remainder when 33 is divided by k(3).
4
Suppose -4*f + 2*c = -2*f, 0 = -2*f - 2*c + 12. What is the remainder when 26 is divided by f?
2
Let b = 30 - 4. Suppose 24*g - b = 22*g. What is the remainder when g is divided by 7?
6
Let s be (-2)/((42/(-225))/7). Let r = 214 - s. What is the remainder when r is divided by 37?
28
Suppose -33 - 162 = -2*u - o, -3*u + 4*o + 265 = 0. Suppose u + 181 = 4*r. What is the remainder when r is divided by 24?
21
Suppose -1520 = -62*o + 42*o. What is the remainder when o is divided by 48?
28
Suppose -l = 13 - 9. What is the remainder when (-4 + -7)*(3 + l) is divided by 3?
2
Suppose 0 = 5*f + 15, o - 9 = 3*f + 166. What is the remainder when o is divided by 87?
79
Let a(q) = 19 + 15*q + 0*q**3 + 2*q**3 - 30 + 12 + 33*q**2. Calculate the remainder when 82 is divided by a(-16).
14
Let m(i) = 83*i - 2561. Calculate the remainder when m(32) is divided by (64/10)/((-1)/(-5)).
31
Let d(v) = 28*v + 1. Suppose -2 = -n - n. Suppose 2*w - 62 = -5*h, 3*h - 4*h = -6. Calculate the remainder when d(n) is divided by w.
13
Let x = -136 - -205. Let y be 60/18*(-36)/(-15). Suppose 0*f - 288 = -y*f. Calculate the remainder when x is divided by f.
33
Let z = 69 - 26. What is the remainder when (z - 2) + (4 - 7) is divided by 20?
18
Let h(k) = -20*k + 9. Let u(b) = -21*b + 10. Let x(q) = -5*h(q) + 4*u(q). Calculate the remainder when x(3) is divided by 17.
9
Suppose 4*j - 2*j - 8 = 0, -5*g + 135 = -5*j. What is the remainder when g*(2 - (0 + 1)) is divided by 11?
9
Let a(r) = -r**3 + 6*r**2 - r - 6. What is the remainder when a(3) is divided by 1?
0
Let q(s) = 15*s - 25. Let y(z) = -13*z + 24. Let h(r) = -3*q(r) - 2*y(r). Calculate the remainder when h(-7) is divided by 18.
16
Suppose 151 + 116 = 3*v. Let a(j) = -j + 0 + 6 + 3. Calculate the remainder when v is divided by a(-14).
20
Let p = 10 - 6. Suppose -k = -p*k. Suppose k = -3*q + 5*l + 98, -q + 4*l = -0*q - 21. What is the remainder when q is divided by 11?
8
Let d = 600 + -585. Suppose -3*v = j - 71, -7 + 2 = -v. Calculate the remainder when j is divided by d.
11
Suppose 624 = -23*o + 39*o. Calculate the remainder when o is divided by (-3)/(1 - 3/2).
3
Let d(m) = m**2 + 4*m - 11. Let r be d(-6). Calculate the remainder when (-13 - -2)/(r/(-1)) is divided by 4.
3
Let b be (-3 + (-1 - -3))/(-1). Let p(m) = m - 9. Let d be p(5). Calculate the remainder when (b - -2)*(1 - d) is divided by 8.
7
Let p = 41 + -35. Let h = 149 + -128. Calculate the remainder when h is divided by p.
3
Let s(j) = 5*j + 238. Calculate the remainder when s(17) is divided by 110.
103
Let i = 251 - 211. What is the remainder when i is divided by 3?
1
Let u = 502 + -20. What is the remainder when u is divided by 27?
23
Suppose -27*d = 5*y - 26*d - 75, 2*y - 4*d = 30. Calculate the remainder when 131 is divided by y.
11
Let a(k) = -3*k**2 + 4*k - 15. Let f be a(10). Let d = f + 172. Let z = 200 + d. Calculate the remainder when z is divided by 20.
17
Let g(b) = 45*b**2 - b - 2. Calculate the remainder when g(-1) is divided by (3/(-6))/(5/(-150)).
14
Suppose 186 = -43*l + 44*l. What is the remainder when l is divided by 21?
18
Let b = -4 + 9. Suppose 7 = l + 3*u - b, -3*l - 16 = -4*u. Suppose l = -k + 66 + 8. Calculate the remainder when k is divided by 19.
17
Suppose -4*v - 10 = v. Let c(o) = 3*o + 3. Let k be c(1). What is the remainder when 8 is divided by ((-1)/v)/(1/k)?
2
Let x(y) = y**3 - 9*y**2 - 9*y. Suppose -5*o + 2*z = -346, 2*z - 3*z = -3*o + 208. Suppose 6*m - o = -10. Calculate the remainder when 27 is divided by x(m).
7
Suppose -5*j - 58 = -213. Calculate the remainder when 495 is divided by j.
30
Let j = 6 - 3. Calculate the remainder when 102 is divided by j + 4*69/12.
24
Suppose 5*t + 24 = 5*w + 9, -2*w - t + 6 = 0. Suppose -w*c - 15 + 348 = 0. What is the remainder when c is divided by 16?
15
Let d(h) = 18*h + 1. Let x(t) = -22 - 2*t + 3*t**2 - 2*t**2 + 10 - 14. Calculate the remainder when x(11) is divided by d(1).
16
Calculate the remainder when 85 is divided by 44 + 0/(2/((-4)/4)).
41
Suppose 67*j + 140 = 71*j. Calculate the remainder when 136 is divided by j.
31
Suppose -4*t + 16 = 0, 4*w - t = w - 139. Let f = 169 + w. Suppose -3*y - 63 = -3*j, f = 4*j - 5*y + 42. What is the remainder when j is divided by 10?
3
Suppose 2*x - q - 4*q = 170, 3*q = -2*x + 202. What is the remainder when x is divided by 2/11 - 7700/(-242)?
31
Suppose 306 = 7*a + 47. Suppose 14*g = a + 89. What is the remainder when 24 is divided by g?
6
Let g = -1971 + 2027. Calculate the remainder when 238 is divided by g.
14
Let o = 2443 - 2222. What is the remainder when o is divided by 6?
5
Suppose -3 = -t + 1. Suppose 3*k - 2*f = 2*f + 26, 0 = -t*k - 3*f + 68. What is the remainder when 38 is divided by k?
10
Suppose 3*a + y - 87 = 5*y, 19 = a + 2*y. Let z be (0 - 0)*7/14. Suppose -2*f + 8*b = 3*b - 8, z = 2*f - b - 16. What is the remainder when a is divided by f?
7
Let m = -278 + 312. Calculate the remainder when 161 is divided by m.
25
Suppose -24*d + 1134 = 3*d. Calculate the remainder when 187 is divided by d.
19
Suppose -35 = -5*k - 5*d, -3*d = -5*k + 2*d - 5. Suppose -a - 2*t - 106 = -4*a, 4*t - 76 = -k*a. What is the remainder when a is divided by 11?
10
Suppose 4*q - 13 = -1. Let t(k) = -k**2 + 15. Let x be t(0). Suppose 0 = q*y - x, -42 = l - 2*l - 4*y. Calculate the remainder when l is divided by 8.
6
Suppose 24 = x + 5*x. What is the remainder when 6/(-3)*(0 - (-2 - -5)) is divided by x?
2
Let b = -565 + 594. Calculate the remainder when 102 is divided by b.
15
Let b(l) = -4*l - 13. Suppose -12*x + 7*x - 20 = 0. Let u be b(x). Suppose -u*z = -26 - 31. What is the remainder when z is divided by 11?
8
Suppose 2*q - 1053 = 2*w + w, -q = -4*w - 519. Calculate the remainder when q is divided by 38.
37
Suppose 2*j - 11 = 3*l, 2*j - 26 = 7*l - 9*l. Suppose 285 = j*a + 35. What is the remainder when 124 is divided by a?
24
Let g(x) = -x**3 - 7*x**2 - 7*x + 30. Calculate the remainder when g(-6) is divided by 13.
10
Let j(a) = 24*a - 430. What is the remainder when | {
"pile_set_name": "DM Mathematics"
} |
iggest value? (a) -3 (b) -0.2 (c) -5 (d) 2 (e) 2/995 (f) 2525
b
Which is the fourth smallest value? (a) -3 (b) -39/71 (c) 8 (d) -18
c
Which is the fifth biggest value? (a) -77699 (b) 6 (c) -15/2 (d) -0.3 (e) -1
a
What is the third biggest value in 292, -1, -0.23, -102?
-1
Which is the sixth smallest value? (a) 946 (b) 1449 (c) -0.4 (d) -8 (e) -3 (f) -1/5 (g) 0.1
a
Which is the fourth smallest value? (a) 7 (b) 1 (c) -23 (d) -65 (e) 0.2 (f) 36/5
b
What is the third biggest value in 0.4, 1/10, -142, -45676?
-142
Which is the biggest value? (a) 115 (b) 1/7 (c) 1/3 (d) 842/17
a
Which is the third smallest value? (a) -7.756 (b) 10 (c) -77/6
b
Which is the fourth smallest value? (a) -2/11 (b) 1/2 (c) -6 (d) -2.3 (e) -1244
a
What is the biggest value in 3/4, 4340, -0.11?
4340
Which is the second smallest value? (a) -5451 (b) -0.3 (c) 1.9 (d) 14 (e) 1/5
b
Which is the third biggest value? (a) 3/7 (b) 30 (c) 3 (d) 6/13 (e) -10 (f) 1
f
Which is the third biggest value? (a) 16 (b) -39 (c) -137 (d) 4/417
b
What is the fourth biggest value in -0.4, 647129, 0.3, -5?
-5
What is the biggest value in -1, 27/20, -5/6, 0.12?
27/20
Which is the fifth smallest value? (a) 8870 (b) 0.4 (c) -1/7 (d) 22 (e) -2 (f) -4
d
What is the second biggest value in 10/7331, -0.5, -11?
-0.5
Which is the fifth biggest value? (a) -0.2 (b) 0 (c) 0.13 (d) -28 (e) 14 (f) 4 (g) -3
a
What is the second biggest value in -1524/17, -3/5, 23/5, 1/4?
1/4
Which is the third biggest value? (a) 0 (b) -1137/4 (c) 3 (d) -4 (e) 0.2 (f) -14
a
What is the sixth smallest value in -1/3, -0.0034, 0.4, 0, 1/4, 2/81?
0.4
What is the fifth biggest value in 372, -1/2, -3, -6, 1, 6/5, 61?
-1/2
Which is the second biggest value? (a) 2/7 (b) -34 (c) 17 (d) 102 (e) 0.07
c
What is the third biggest value in 0.033, 5, -0.2, -23.5, -0.5?
-0.2
What is the fourth smallest value in 68558, 0.2, 2, 1, 0.4?
2
What is the second smallest value in -9, 929.2, -251?
-9
What is the fourth biggest value in 3, -5/2, -113, -2/13, 36, -1?
-1
Which is the fifth biggest value? (a) 4 (b) -86 (c) -3 (d) 151 (e) 2/9
b
What is the second smallest value in 0.03621, 527, 1/4?
1/4
Which is the fourth smallest value? (a) -6/77 (b) -0.47 (c) -0.4 (d) -0.2 (e) -0.5 (f) 5 (g) 13
d
What is the fourth biggest value in 7, 0.0364, -2.5, -60?
-60
Which is the second biggest value? (a) -436534 (b) -2 (c) 11 (d) 3
d
Which is the second smallest value? (a) 89.9 (b) 2/19 (c) -6/7 (d) 1.39
b
What is the third smallest value in 5, -3.148212, -2, -1?
-1
What is the second biggest value in -1/6, -112/9, 861?
-1/6
Which is the sixth smallest value? (a) -5 (b) 0 (c) 0.2 (d) -1/6 (e) -2/11 (f) 0.46 (g) -0.09
c
Which is the smallest value? (a) -585033 (b) -0.8 (c) -2
a
Which is the fifth smallest value? (a) 108 (b) 16 (c) 0.3 (d) 4 (e) -17
a
What is the fourth smallest value in -1.11, 5, 577, 13/4?
577
Which is the biggest value? (a) -2/5 (b) -122 (c) -187 (d) -1 (e) -4/5
a
What is the second biggest value in 1/3, 0.27, -6337/10, -3/2?
0.27
Which is the biggest value? (a) -5/516 (b) 0 (c) -2/583 (d) 3
d
Which is the fifth smallest value? (a) 5 (b) -0.09 (c) 3 (d) -1/8 (e) -2/2373
a
What is the third biggest value in 0.2, 1297.16, -19?
-19
Which is the fifth smallest value? (a) -0.19 (b) 0.3 (c) 1/195 (d) -2 (e) -23
b
What is the third smallest value in -317.7205, -4/9, 3/7, -5, 3?
-4/9
Which is the fifth biggest value? (a) -5 (b) 3.6 (c) 1140/17 (d) 2/11 (e) 0.5 (f) -18
a
Which is the third smallest value? (a) 1 (b) -1/6 (c) -11.78 (d) 0.44 (e) -0.4
b
What is the fourth smallest value in 0.5, 9, 20, 2/19, 10549?
20
What is the biggest value in 2/681, 1/5, -2/3, -203, -2, 1/7?
1/5
Which is the smallest value? (a) 1/5 (b) 468 (c) -50 (d) 224/9
c
Which is the third biggest value? (a) 1/5 (b) 3 (c) 0.21 (d) -2 (e) 7 (f) 4116.6 (g) 1/2
b
Which is the third smallest value? (a) -191160 (b) -3/8 (c) 28/17
c
Which is the fourth smallest value? (a) 0.1 (b) -2 (c) 55 (d) 1 (e) 4 (f) 7
e
Which is the third smallest value? (a) 0.374 (b) -161 (c) -0.2 (d) 225 (e) 0.3
e
Which is the smallest value? (a) -1 (b) 2 (c) -2/17159
a
What is the second smallest value in 2/3, -1, 993235, -4?
-1
Which is the second smallest value? (a) 3.145 (b) 1/80 (c) 0.08 (d) -1/5
b
What is the fifth biggest value in -2, 0.2, 27, 282, 2/35, -1/5, 1?
2/35
What is the third biggest value in -5, 1/41, 1/21, 21/5, 27?
1/21
What is the seventh smallest value in 1/4, 0.3, -102, 4, -0.01, -4, -3/11?
4
What is the biggest value in 1, -0.6, 37.2, 0.5, -343, 3/5?
37.2
Which is the third biggest value? (a) 2 (b) -572 (c) -38761
c
Which is the smallest value? (a) 4 (b) 1/6 (c) -1454/9 (d) -1/3 (e) 0.067 (f) -4/5 (g) 0.4
c
What is the smallest value in 11990, 3/17, 7?
3/17
What is the fourth biggest value in -12988, -2, -0.432, 3?
-12988
Which is the third biggest value? (a) -1 (b) -0.3 (c) 204917
a
What is the third biggest value in -1/3, -3/27031799, 1?
-1/3
Which is the biggest value? (a) -43 (b) -142 (c) 180
c
Which is the third biggest value? (a) 3/8 (b) -5 (c) -0.2 (d) -156669827
b
What is the second smallest value in -152, -31/46, 23?
-31/46
What is the sixth biggest value in 1, 3, 1/5, 0.06, 5, 23, 0.05?
0.06
Which is the third smallest value? (a) -51 (b) -4/13 (c) -2/9 (d) -0.05
c
Which is the fifth biggest value? (a) 41/8 (b) 2/11 (c) 10/11 (d) -3 (e) -10 (f) -0.1
d
What is the biggest value in 2.7, -5, -33749, -0.4?
2.7
Which is the smallest value? (a) 26/9 (b) 6226 (c) -54
c
What is the fourth smallest value in -3/11, 1.8, -4, 4, -0.2, 1/49, -7?
-0.2
What is the third smallest value in 0.04855, 1/6, 3, 1, 0.3, -5, 17?
1/6
Which is the fourth biggest value? (a) 0.01 (b) -0.009 (c) -1.2 (d) -8/13 (e) -2
c
Which is the second smallest value? (a) 3 (b) 1576/5 (c) -449/2
a
What is the biggest value in 4/9, -44, -28/13401?
4/9
Which is the second smallest value? (a) 0 (b) 1280 (c) 7 (d) 0.3 (e) -2/9 (f) 3 (g) 0.17
a
Which is the third smallest value? (a) -1/5 (b) 4 (c) 2762.021
c
What is the fifth biggest value in -76, 3, 0.01, -0.09, 2, 2/61, -2/7?
-0.09
Which is the second biggest value? (a) -1/5 (b) -26095 (c) -5 (d) 0.2
a
What is the biggest value in 0.0037, 2, -1, 19?
19
What is the fourth smallest value in -0.5, 2522/9, 4, -0.037, 0, -3, -1/9?
-0.037
What is the third biggest value in 1/4, 2886571, -4, 4?
1/4
Which is the third biggest value? (a) -0.5 (b) -3 (c) 0.5 (d) -1/5 (e) 2775/19 (f) -209
d
Which is the third smallest value? (a) -3 (b) 0.02 (c) 0.4 (d) 7/8 (e) -1/55
b
What is the biggest value in 2440, 9/2, 1, 2/5, -5, 0, -0.1?
2440
What is the second smallest value in -1/12, 2/13, 4, -809.429?
-1/12
What is the biggest value in 0.1167, 5, 3, -8/27, -5, 1?
5
Which is the seventh biggest value? (a) 4 (b) -12 (c) -14/11 (d) 5 (e) -0.2 (f) 28 (g) 0.06
b
Which is the third biggest value? (a) -23 (b) 0.2 (c) 4 (d) 34 (e) 1 (f) 2.37
f
What is the biggest value in 2/569, -0.3, -2/27, -1/18, -0.5?
2/569
What is the sixth smallest value in 3, 129, 30, -4, 2/381, 1/4, 1/3?
30
What is the fourth biggest value in -0.09, 248.4, -56, -1/4?
-56
Which is the third smallest value? (a) -1/4 (b) -20 (c) 1/5 (d) -20.9 (e) 8 (f) -5/14
f
Which is the second biggest value? (a) 6 (b) -0.3 (c) -3/29 (d) -3/7 (e) 167/15
a
Which is the sixth smallest value? (a) 3/5 (b) -6/5 (c) 1 (d) 3 (e) 306 (f) -5
e
What is the second biggest value in 3, -3, 1/8, 1/6, 27, 9, 0?
9
Which is the third biggest value? (a) -2/11 (b) -567877 (c) -2/683
b
What is the smallest value in 147144336, -4/5, 2/7?
-4/5
What is the second biggest value in 0.1, -0.0333, 213364?
0.1
What is the sixth smallest value in -6/11, -0.5, 21/5, 1.4, -30, -2/17, -4?
1.4
What is the third smallest value in 78, 5, 0.92367?
78
Which is the second biggest value? (a) 8 (b) 11 (c) -26/57 (d) -9 (e) -2.5
a
Which is the third biggest value? (a) -0.10456 (b) 41/6 (c) -6
c
Which is the fourth smallest value? (a) -445 (b) 204 (c) 0.6 (d) 4/7
b
Which is the smallest value? (a) -1/8 | {
"pile_set_name": "DM Mathematics"
} |
) assuming a is positive.
a**(-923/126)
Simplify (m*m/(m*m*(m**2/m*m)/m)*m/m**10*m)/(m*m*m/((m*m*(m*m*m**(-2/13)*m)/m*m)/m)*m**1*m*m*m) assuming m is positive.
m**(-158/13)
Simplify (g**(1/4)*g**(-9)/g)/(g*g**(-2))**(2/25) assuming g is positive.
g**(-967/100)
Simplify (a*a/(a/a**(-1)))**(-2)*a/((a*a**(2/3))/a)*a**6*a assuming a is positive.
a**(22/3)
Simplify (k**(-4/7)/(k/((((k*(k/k**(-3/8))/k*k)/k)/k*k)/k)))**25 assuming k is positive.
k**(-1675/56)
Simplify (v/((v*v*v**(-2)*v)/v))**26*((v**(-10)*v)/v*v)/v*v*v**(-8) assuming v is positive.
v**9
Simplify (h**(-1/56))**(-5) assuming h is positive.
h**(5/56)
Simplify ((t/(t**(5/4)/t))/(t*t/(t/(t/t**(-4/7))*t*t*t)))**(-1) assuming t is positive.
t**(-33/28)
Simplify ((y/y**6)/y**1)/(y*((y/((y/(y/y**(-1)))/y*y))/y*y)/y)**(-6/7) assuming y is positive.
y**(-30/7)
Simplify ((z/z**1)/z**(1/15))**(-38) assuming z is positive.
z**(38/15)
Simplify ((h**(-2/5))**(-1))**11 assuming h is positive.
h**(22/5)
Simplify (r**(-16)*r*r)/r*(r*r*r**(2/15))/r*r assuming r is positive.
r**(-193/15)
Simplify ((y**17/y)/y)/(y/y**11) assuming y is positive.
y**25
Simplify m/m**(-8/9)*m**(-18) assuming m is positive.
m**(-145/9)
Simplify (s/(s**(2/35)*s)*s)/(s/(s/(s/s**(4/9)))) assuming s is positive.
s**(122/315)
Simplify y**11*y*y**(-4/21) assuming y is positive.
y**(248/21)
Simplify b**(-20)*b**(-16/5) assuming b is positive.
b**(-116/5)
Simplify (u/u**1)**(-38)*u*u*u**(3/7)*u*u**1 assuming u is positive.
u**(31/7)
Simplify ((m*m**(-3/10)/m)/m*m)**1 assuming m is positive.
m**(-3/10)
Simplify (c**6*c*c**1)/(c**2*c/(c*c**(-5)*c)) assuming c is positive.
c**2
Simplify o**(-1)*o**(-7/3)*(o/(o/o**(1/4))*o)**(16/7) assuming o is positive.
o**(-10/21)
Simplify z*z*z**(-30/11)*z**(-1) assuming z is positive.
z**(-19/11)
Simplify ((((d/d**(2/21))/d)/d)/((((d**(-6)*d)/d)/d)/d))**32 assuming d is positive.
d**(4640/21)
Simplify (r**(-2/15))**(-4/7) assuming r is positive.
r**(8/105)
Simplify (d**7/(d*d**(-2/5)*d))/((d*d/(d**(-2/3)*d*d))/d*d)**(-9) assuming d is positive.
d**(57/5)
Simplify q/(q**(-5/6)*q)*q**(-3/2) assuming q is positive.
q**(-2/3)
Simplify (f*f**18)/(f*(f**(-18)/f)/f) assuming f is positive.
f**38
Simplify ((k*k/(k/(k**(-8)*k)))/k**8)/(k**(-1/7)*k**1) assuming k is positive.
k**(-104/7)
Simplify u**(-44)/(u/u**(-2/91)) assuming u is positive.
u**(-4097/91)
Simplify ((p**5*p*p)/p)**(-2/21) assuming p is positive.
p**(-4/7)
Simplify o**(-17/3)*o*o/((o/(o/o**(5/2)))/o) assuming o is positive.
o**(-31/6)
Simplify (q**(-38)/q*q)/(q/q**(3/10)*q) assuming q is positive.
q**(-397/10)
Simplify (k/(k**(-4)/k*k))**(-7/4) assuming k is positive.
k**(-35/4)
Simplify (c**0)**29/(c**(-2)*c/((((c**4/c)/c)/c)/c)) assuming c is positive.
c
Simplify (o**(-6)/o**(-7))/(o**(-6)/o**3) assuming o is positive.
o**10
Simplify (i**(-1/3))**42/((i**1/i*i)/i)**(12/11) assuming i is positive.
i**(-14)
Simplify ((q*q**(-3/5)*q)**(-5))**(-6) assuming q is positive.
q**42
Simplify (m**19)**(-15) assuming m is positive.
m**(-285)
Simplify (g**(1/18)*g**(-4)/g)**(-19) assuming g is positive.
g**(1691/18)
Simplify (v/((v**(-2/7)*v*v*v)/v))**(-1/7) assuming v is positive.
v**(5/49)
Simplify w/(w*w**5)*((w/(w/(w*w*((w*w**5)/w)/w)))/w)/w*(w/(w**(-2/3)/w))/(w*w**(-6)/w) assuming w is positive.
w**(23/3)
Simplify b/b**(-11)*b**(1/30) assuming b is positive.
b**(361/30)
Simplify ((b*b**(-2)*b*b)/(b**1/b))**(-12/5) assuming b is positive.
b**(-12/5)
Simplify (b*b**(-16)*b)/((b/b**12)/b) assuming b is positive.
b**(-2)
Simplify ((d/(d*(d**5*d)/d*d))**(-43))**(9/4) assuming d is positive.
d**(1161/2)
Simplify ((o/(((o*o/o**(-1/3)*o*o)/o)/o*o))/o)**(20/7)*(o**0)**(-1/19) assuming o is positive.
o**(-200/21)
Simplify (u*u*u/u**6*u*u*u*u**(-2/9)/u)**(-25) assuming u is positive.
u**(275/9)
Simplify (l**(-3/7)/(l**(-2/5)*l))**17 assuming l is positive.
l**(-612/35)
Simplify w**28*(w*w/w**(-19))/w assuming w is positive.
w**48
Simplify (d*(d*d*d*d**(-3))/d)/d**(9/4) assuming d is positive.
d**(-9/4)
Simplify (w**(10/9)*w)/w**(-5/4) assuming w is positive.
w**(121/36)
Simplify ((c*c**(-5))/c*c*c*c)/(c/c**(-1/6))*((c**(-1)/c)/c)**32 assuming c is positive.
c**(-595/6)
Simplify (f**(1/5))**0 assuming f is positive.
1
Simplify (d*(d**(-17)/d)/d)/d**(-6/13) assuming d is positive.
d**(-228/13)
Simplify (h/(h*h/h**(-1/3))*h/h**(1/2))/(h**(1/3))**48 assuming h is positive.
h**(-101/6)
Simplify (((n**(2/11)*n)/n)**25)**(-18) assuming n is positive.
n**(-900/11)
Simplify v*v**(-1/4)*v**(-3/8)*v*((((v/((v/(v/(v*v*v/v**(-1)*v)))/v))/v)/v)/v)/(((v/v**(-1/13))/v)/v) assuming v is positive.
v**(-385/104)
Simplify u**(5/7)/(u*u**(-2)/u) assuming u is positive.
u**(19/7)
Simplify (i/(i/i**(2/11)))**(-12) assuming i is positive.
i**(-24/11)
Simplify (f**0*f**(-3/7)*f)**(-32) assuming f is positive.
f**(-128/7)
Simplify (a**(-6)*a)**32 assuming a is positive.
a**(-160)
Simplify (y/y**(-3/11))/(((y*y*y**(-11/3)*y)/y)/y) assuming y is positive.
y**(130/33)
Simplify g**(-2/69)/((g/(g/g**(1/8))*g)/g) assuming g is positive.
g**(-85/552)
Simplify (g*g*g**(2/19))**(2/25) assuming g is positive.
g**(16/95)
Simplify ((r**(-1)*r*r)**(1/6))**(-43) assuming r is positive.
r**(-43/6)
Simplify v**(-2/5)/(v/(((v**(11/3)/v)/v)/v)) assuming v is positive.
v**(-11/15)
Simplify u**(2/45)*u**(-2/17) assuming u is positive.
u**(-56/765)
Simplify (d**(-2)/d**(-11/2))**(-11/4) assuming d is positive.
d**(-77/8)
Simplify ((p/(p**(-2/9)/p)*p)/(p/p**(-2/21)*p))**46 assuming p is positive.
p**(3266/63)
Simplify f**9/((f/(f/(f**15/f*f)*f))/f) assuming f is positive.
f**(-4)
Simplify ((r**(1/2)*r*r)/r*r*r*r**(-6/11)*r)/((r/((r*r**(5/3))/r)*r)/(r/(r*r**5))) assuming r is positive.
r**(-91/66)
Simplify (v**(-1/2)/v)**31 assuming v is positive.
v**(-93/2)
Simplify (h*h**(-1/23))/h**(-2/3) assuming h is positive.
h**(112/69)
Simplify (s/s**11)/s**13 assuming s is positive.
s**(-23)
Simplify g**(-1/49)*g/(g/(g**(-35)/g)) assuming g is positive.
g**(-1765/49)
Simplify (w**(1/3))**(-2/59)/(w**(3/4)*w**(-2/3)) assuming w is positive.
w**(-67/708)
Simplify (p*(p**(-6)/p)/p*p)/((p**(4/7)/p)/p)*(p*p/p**2)**(-14/11) assuming p is positive.
p**(-32/7)
Simplify ((s/(s*(((s**(1/5)/s)/s)/s)/s))**(-48))**(-35/2) assuming s is positive.
s**3192
Simplify (v**(-8)/v*v*v/(v/(v/(v/(v**(2/27)*v)*v))))**34 assuming v is positive.
v**(-7276/27)
Simplify (z*((z/((((((z**(2/3)/z)/z)/z)/z)/z)/z))/z)/z)**12*z*z**4*(z/(z*z*z/(z*z*z**(-1/3)/z)))/z assuming z is positive.
z**(200/3)
Simplify (((y/(y**(-5)*y))/y*y)/y*y)/(y*y**(-6)/y)*y**(-6)*(y/y**4)/y assuming y is positive.
y
Simplify (n**(-4)*n**3)**(-5/6) assuming n is positive.
n**(5/6)
Simplify (x**(-1)/x)**(-13)*(x/(x**(-1/2)*x))**(18/5) assuming x is positive.
x**(139/5)
Simplify (t**(2/7)/t*t*t**(-2/15))/(t**(-2/9)*t*t/(t*t*t/(t**(-6)/t)*t*t)) assuming t is positive.
t**(3268/315)
Simplify ((u**1*u)**14)**(-33) assuming u is positive.
u**(-924)
Simplify (v*v**(-2/19))**(3/14) assuming v is positive.
v**(51/266)
Simplify (p**7)**(-5/6) assuming p is positive.
p**(-35/6)
Simplify (w*w*w*w**2)**(-42)/(w**0/w)**(14/13) assuming w is positive.
w**(-2716/13)
Simplify (f**(1/2)/f*f**(-3/8))/(f**1)**(-23) assuming f is positive.
f**(177/8)
Simplify (h*h**(2/19))/(h*h*h**(-4))*(h*h/h**6*h)/h**8 assuming h is positive.
h**(-150/19)
Simplify ((u/u**0)/(u/u**(-2/13)))/((u*u/(u*(u/u**(-2/5))/u*u))/(u*u*u**4/u*u)) assuming u is positive.
u**(406/65)
Simplify (s**(3/5)/s)**46 assuming s is positive.
s**(-92/5)
Simplify (h**(-3/8))**(3/19) assuming h is positive.
h**(-9/152)
Simplify k/(k/(k*k**(-10)))*k/(k/(k/k**(-1/22))) assuming k is positive.
k**(-175/22)
Simplify ((z*(z/(z/z**0*z))/z)/z*(z*z/(z*z*z*z**(-6)*z*z))/z)**(-2/17) assuming z is positive.
1
Simplify (a/a**(9/2))/(a/a**(-6/13)) assuming a is positive.
a**(-129/26)
Simplify ((l/(l*l/(l/l**(-1/3))))/l**(-2/21))/(l**(-1))**28 assuming l is positive.
l**(199/7)
Simplify a**(-4/9)/(a*a**(-2)*a)*a**(1/7)/(a/(a/(a/(a/(a**8*a)))*a)) assuming a is positive.
a**(-523/63)
Simplify (q*q*q/(q**(1/3)/q*q))**(-18)/(q**(-3)/(q/(q/(q**(-2/9)/q)*q*q))) assuming q is positive.
q**(-434/9)
Simplify ((x/x**(7/2))/x)**(-3/47) assuming x is positive.
x**(21/94)
Simplify g**8/(g**(-23/4)*g) assuming g is positive.
g**(51/4)
Simplify (w**(-2/3)/w | {
"pile_set_name": "DM Mathematics"
} |
*g
Find the second derivative of -361*g - 76*g**2 + 312*g**3 + 73*g**2 - 536*g + 18*g**3 + 2 wrt g.
1980*g - 6
Let w(y) be the third derivative of -4*y**7/35 - y**5/30 - 145*y**4/24 + 2687*y**3/2 - 3*y**2 + 67*y. Differentiate w(a) with respect to a.
-96*a**3 - 4*a - 145
Let k(c) be the third derivative of -95/3*c**3 + 0*c**4 - 34/15*c**6 + 0*c + 0 + 0*c**5 - 248*c**2. Find the first derivative of k(n) wrt n.
-816*n**2
Suppose -1 + 161 = j. What is the second derivative of 6 - 86*i - 25*i**3 - i**2 - 84*i - 2 + j*i wrt i?
-150*i - 2
Let q(t) = -2*t**3 - 40*t**2 + 53. Let h(z) be the first derivative of -3*z**4/4 - 13*z**3 + 52*z - 73. Let i(x) = -3*h(x) + 4*q(x). Differentiate i(v) wrt v.
3*v**2 - 86*v
Suppose -4*q - 6*v + 9*v = 560, -3*q = -5*v + 420. Let x = 142 + q. What is the second derivative of -3*y + 0*y**x + 6*y**2 + 7*y**2 - 3*y**2 wrt y?
20
Let z(y) = y**3 - 7*y**2 - 2*y + 18. Let c be z(8). Suppose 4*k - c = -5*f, 4*f - 16 - 28 = -k. What is the second derivative of 6*q - 70 + 70 + f*q**2 wrt q?
20
Let k = 46 - 24. Find the third derivative of -6*q**5 + 3*q**3 + 46*q**2 + 25*q**5 - k*q**5 wrt q.
-180*q**2 + 18
Let a(c) be the first derivative of -1585*c**3/3 - c**2/2 - 211*c - 1249. What is the second derivative of a(s) wrt s?
-3170
Let q(x) = -x**3 - 9*x**2 - 11*x - 20. Let c be q(-8). What is the first derivative of 0 - y - c*y**3 + 0*y - 26 - 5 wrt y?
-12*y**2 - 1
Let j = 10 - 0. Differentiate -8 + j + 68*l**2 - 1 + 36 wrt l.
136*l
Let q(c) be the second derivative of -3613*c**5/10 + 9*c**3/2 + 13*c**2/2 - 3272*c. What is the second derivative of q(y) wrt y?
-43356*y
Let l(b) be the third derivative of -53*b**7/210 - 2*b**6/15 - 533*b**3/3 - 399*b**2. Differentiate l(m) wrt m.
-212*m**3 - 48*m**2
Let q(d) be the first derivative of 4*d + 69 - 3/2*d**2 + 14*d**3. Find the second derivative of q(v) wrt v.
84
Let o(w) = -10 - 4*w + 10*w + 8 - 7*w. Let a(n) = -20*n - 2. Let u(q) = a(q) - 2*o(q). What is the first derivative of u(i) wrt i?
-18
Let a = 96 + -96. Suppose -6*x + 14 = 4*w - 3*x, -2*w + 2*x = a. What is the third derivative of 173*j**2 - w + 2 + 18*j**4 - 157*j**2 wrt j?
432*j
What is the second derivative of -728 + 79*i - 276*i**3 - 254*i + 2*i**2 - 726 + 1450 wrt i?
-1656*i + 4
Differentiate 810*a**2 + 430 + 541 - 259 - 224*a**2 + 967 with respect to a.
1172*a
Let o(b) be the first derivative of -1281*b**2/2 + 567*b - 662. Differentiate o(d) wrt d.
-1281
Let u(t) be the third derivative of -5/12*t**5 + 0 + 0*t**3 + 0*t + 0*t**4 + 0*t**7 + 43/168*t**8 + 0*t**6 + 151*t**2. Find the third derivative of u(p) wrt p.
5160*p**2
Suppose 2*n - 16 = -2*z - 4, -n = -3*z + 2. Let o(m) be the third derivative of -11/24*m**4 + 0 + m**3 + 0*m - 13*m**z. What is the derivative of o(x) wrt x?
-11
Let d = 8 - -17. Suppose d*v = 10*v + 240. Find the third derivative of -22*b**2 - 25*b**2 + v*b**2 - 20*b**5 - 2*b**2 wrt b.
-1200*b**2
Let p(r) = 9*r - 13. Let o be p(3). Let m be (-12)/o*154/(-33). Find the third derivative of 12*y**4 + 10*y**2 + 16*y**6 - 12*y**m wrt y.
1920*y**3
What is the derivative of 175*r**2 + 777*r**2 + 7031 + 1416*r**2 wrt r?
4736*r
Let z(u) be the first derivative of -2/5*u**5 + 0*u**4 + 55*u - u**2 - 73 - 67/3*u**3. What is the second derivative of z(t) wrt t?
-24*t**2 - 134
Let q(g) be the second derivative of -69*g**7/7 + 1091*g**4/12 + 11*g - 26. Find the third derivative of q(z) wrt z.
-24840*z**2
Find the third derivative of -22*p**2 + 10586*p**4 + 621*p - 7*p**2 + 38*p**2 + 2779*p**4 wrt p.
320760*p
Let d(i) = i**4 - i**2 - 2*i + 12. Let b(g) = 7*g**4 + 812*g**3 - 3328*g**2 - 18*g + 108. Let s(r) = -b(r) + 9*d(r). What is the third derivative of s(l) wrt l?
48*l - 4872
What is the first derivative of -235 - 562 + 206 - 854 + 1255*a wrt a?
1255
Let f(h) = -12907*h**2 + 9224*h + 48. Let w(l) = -12907*l**2 + 9223*l + 38. Let p(c) = 4*f(c) - 5*w(c). Find the second derivative of p(m) wrt m.
25814
Let a(t) = t**3 + 9*t**2 - 2*t - 12. Let n be a(-9). Find the third derivative of -225*v**4 + 217*v**4 + 4*v**2 + 0*v**6 + 15*v**2 + 2*v**n wrt v.
240*v**3 - 192*v
Let b(u) = 80 - 30*u - 122 + 60. Let c(w) = -1. Let t be -1 - 0 - (1 + 2). Let m(x) = t*c(x) + b(x). Find the first derivative of m(v) wrt v.
-30
Let j(x) = 2684*x**3 - 2*x**2 - 2*x - 2414. Let d(b) = 2684*b**3 - 3*b**2 - 3*b - 2412. Let a(n) = 2*d(n) - 3*j(n). What is the derivative of a(p) wrt p?
-8052*p**2
Let b = 53 - -41. Differentiate -102*l**2 + 18 + 19 + b*l**2 - 238 - 12*l with respect to l.
-16*l - 12
Let v be 2/2 + 24/32*10/15. Let q(p) be the second derivative of v*p**4 + 0 + 5/6*p**3 + 0*p**2 - 19*p. Find the second derivative of q(y) wrt y.
36
Let t(w) be the third derivative of -45*w**2 + 0*w + 0*w**4 + 1/15*w**5 + 2*w**3 + 1/30*w**6 + 0. What is the first derivative of t(l) wrt l?
12*l**2 + 8*l
Let k(b) = -7*b**4 + 3*b**2 - 155*b + 923. Let q(h) = 2*h**4 - h**2. Let t(f) = k(f) + 3*q(f). Differentiate t(z) with respect to z.
-4*z**3 - 155
Let q(x) = x**3 + 7*x + 7 + 1 + 3*x**2 - 10*x**2 - 6. Let n be q(6). Find the first derivative of -1 + 12 + 8*p**4 + n wrt p.
32*p**3
Let w(j) = -j**3 + 6*j**2 - 5*j + 7. Let i be w(5). Suppose -q + 3*h + 2 = 0, 26*q + 5*h - 2 = 25*q. What is the derivative of -i + 3 + 62*m**q - 47*m**2 wrt m?
30*m
Suppose -302*a = -300*a - 6. What is the third derivative of 72*i**3 + 5*i**2 + a - 2 - 26*i**2 - 63*i**2 wrt i?
432
What is the third derivative of 25 + 46*z**2 - 166*z - 704*z**4 + 7 + 166*z wrt z?
-16896*z
Find the second derivative of 2200*i**4 + 8*i - 1105*i**4 - 1095*i**4 - 1685*i**5 + 11 - 3*i wrt i.
-33700*i**3
Let p(s) be the second derivative of -381*s**3/2 + 575*s**2 - 920*s. Differentiate p(y) wrt y.
-1143
Let u(o) = 3*o**2. Let y(m) = 11*m**3 - 69*m**2 + m - 38. Let b(h) = -4*u(h) - y(h). Find the first derivative of b(d) wrt d.
-33*d**2 + 114*d - 1
Let j = 8455/18 - 4214/9. Let v(s) be the first derivative of j*s**2 + 21*s + 37. Differentiate v(o) wrt o.
3
Suppose -r + 2*n = -10, n + 4 = r - 2. Find the third derivative of 13*s**5 - 233*s**2 + 219*s**r + 116*s**2 wrt s.
780*s**2
Let s(f) be the second derivative of 4*f**3/3 + 39*f**2 - 75*f. Let x(t) = -6*t - 78. Let i(c) = 5*s(c) + 4*x(c). Differentiate i(r) with respect to r.
16
Suppose 8*k = 310 + 34. Find the second derivative of 6*j - 6188*j**2 + k*j + 0*j + 6179*j**2 wrt j.
-18
What is the second derivative of -316*j - 884*j - 4321*j**2 + 1582*j**2 - 55*j + 114*j wrt j?
-5478
Let k(d) be the first derivative of -66 + 8*d + 0*d**3 + 0*d**4 - 86/5*d**5 - 9/2*d**2. Find the second derivative of k(t) wrt t.
-1032*t**2
Let j(u) = -u**2 - 53*u + 36. Let i be j(-52). What is the second derivative of 5 - 37*o**2 + i*o - 38*o - 4 + 3*o wrt o?
-74
What is the third derivative of -6*k**3 - 865*k**6 + 2 + 1005*k**2 + 6*k**3 - 1000*k**2 wrt k?
-103800*k**3
Let x(v) = 32*v**2 + v + 1. Let r(h) = -2351*h**2 + 2209*h + 1. Let y(c) = r(c) - x(c). What is the second derivative of y(f) wrt f?
-4766
Let a(j) = -497*j**3 + 3*j**2 + 81*j + 16. Let v(x) = 994*x**3 - 6*x**2 - 162*x - 29. Let m(b) = 7*a(b) + 4*v(b). What is the second derivative of m(w) wrt w?
2982*w - 6
What is the second derivative of -1 + 198*x + 3099041*x**4 + 1314*x**5 - 3099041*x**4 wrt x?
26280*x**3
Let c be 0 + 40/(-16)*-2. Find the third derivative of -c*y**6 - 50 - 14*y**4 + 39*y**4 - 4*y**2 + 50 wrt y.
-600*y**3 + 600*y
Find the second derivative of -1175*g**4 - 25*g + 420*g**4 + 4 + 1 wrt g.
-9060*g**2
Let a(k) be the second derivative of 17*k**4 + 553*k**2/2 + k - 481. What is the derivative of a(h) wrt h?
408*h
Let q(i) be the second derivative of 1495*i**7/42 - 117*i**4/2 - i + 159. What is the third derivative of q(j) wrt j?
89700*j**2
Find the second derivative of 67*l + 107 + 116*l - 206 - 5204*l**5 + 107 wrt l.
-104080*l**3
Let u(f) = -4*f - 2. Let g(a) = -505*a**2 + 1603*a - 10. Let y(w) = g(w) - 5*u(w). Find the second derivative of y(s) wrt s.
-1010
Let z(m) be the first derivative of -573*m**5/5 + 82*m**3 + 830. Find the third derivative of z(o) wrt o.
-13752*o
Let a = -1518 - -2177. Find the first derivative of a*j + 254 - 325*j + 72*j**3 - 333*j wrt j.
216*j**2 + 1
Suppose 140 = -18*r + 788. Let o be 3*7/(21/4). What is the first derivative of -13*i + 5 + r*i + o + 6*i wrt | {
"pile_set_name": "DM Mathematics"
} |
uppose 0 = -4*l + v + 7. What is the remainder when p is divided by l?
4
Let a(d) = 3*d - 86. Calculate the remainder when 96 is divided by a(37).
21
Let s(f) = f**2 + 9*f - 1. Let g be s(-10). Suppose g*x - 222 = 3*x. What is the remainder when x is divided by 13?
11
Suppose 4*z + 72 = -0*z. Let x(y) = -7*y + 6. Let w be x(-5). Let n = w + z. What is the remainder when 89 is divided by n?
20
Calculate the remainder when (-2)/9 + 3970/45 + 11 is divided by 5.
4
Let s(c) be the first derivative of -1/2*c**4 - 4 - 2*c**3 - c - c**2. Calculate the remainder when s(-4) is divided by 21.
18
Calculate the remainder when 2 - 6 - (4 + -7 - 108) is divided by 28.
23
Suppose 0 = -0*r + 2*r + t + 13, 4*r - t + 29 = 0. Calculate the remainder when -2 - 4*(-2 + r) is divided by 18.
16
Let n be (-6 - -7)/(2/4). Calculate the remainder when (-1)/((-3)/(n - -205)) is divided by 24.
21
Let s be 93/2*2/3. Suppose -5 = d - s. Calculate the remainder when 73 is divided by d.
21
Suppose -100 = -8*i + 3*i. Let h be -3 + 5/(i/96). Suppose -2*w = -9 - h. Calculate the remainder when w is divided by 4.
3
Let w(z) = 2*z**2 + 4*z - 3. Suppose d + 322 = -6*d + 861. Calculate the remainder when d is divided by w(2).
12
Suppose 795 = 2*l + 3*l. Let f = -70 + -42. Let v = l + f. Calculate the remainder when v is divided by 12.
11
Suppose -2*s + 298 = 3*y - s, 5*s - 118 = -y. Suppose -4*t - 2*p + 57 - 9 = 0, -4*t = 5*p - 66. Calculate the remainder when y is divided by t.
8
Suppose 0 = -56*i + 69*i - 1612. Calculate the remainder when 241 is divided by i.
117
Suppose 17 = 6*v - 205. Let x = v + -7. What is the remainder when x is divided by 6?
0
Calculate the remainder when (-18)/12*-4*(-554)/(-12) is divided by 31.
29
Let s(g) = 2*g - 14. Suppose -2*k + 38 = 2*x, x - 3*k = 3 + 8. Calculate the remainder when x is divided by s(10).
5
Let o = -791 + 903. Calculate the remainder when o is divided by 19.
17
Let s be (-3)/((-22)/(-4) - 4). Suppose -5*z - 3*i = -255 + 65, 10 = 2*i. What is the remainder when (-4669)/(-46) - 3/s is divided by z?
33
Let h(w) = 4*w - 1. What is the remainder when h(12) is divided by 3?
2
Suppose -m = 3*m + 280. Let l = -60 - m. Calculate the remainder when 17 is divided by l.
7
Calculate the remainder when (-72)/2*110/(-30) is divided by ((-4)/(-6))/((-8)/(-228)).
18
Let b = 2054 - 2043. What is the remainder when 494 is divided by b?
10
Calculate the remainder when (-57 - 1)/((-74)/222) is divided by 15.
9
Let l(k) = 3*k**2 - 2*k - 2. What is the remainder when l(2) is divided by 2 + -1 - (5 - (-6 + 13))?
0
What is the remainder when (-41 + 11)/(-6) + 183 is divided by 49?
41
Let q(y) = -23*y - 127. Calculate the remainder when 50 is divided by q(-6).
6
Let z = 57 - 18. Calculate the remainder when z is divided by (124/(-496))/(2/(-104)*1).
0
Let u = 139 - 102. What is the remainder when 182 is divided by u?
34
Let g = 1 - -1. Let a = 2 + 4. Calculate the remainder when (a/(-9))/(g/(-93)) is divided by 11.
9
Let k = 198 + -126. What is the remainder when k is divided by 11?
6
Let c be (-80)/(-36) + (-4)/18. Suppose 15 + 35 = k - 3*o, -c*o + 30 = k. Let y = -32 + k. Calculate the remainder when 14 is divided by y.
2
Suppose 2*a + a = -3*s + 48, 3*s + 4*a - 44 = 0. What is the remainder when (-5 + (-87)/(-2))*2 is divided by s?
17
Let x = 7 + -3. Suppose 2*i + 88 = x*i. Suppose 3*u + u = 60. Calculate the remainder when i is divided by u.
14
Let i(h) = -3*h + 285. What is the remainder when i(41) is divided by 37?
14
Let h(f) = -2*f**2 - 43*f - 152. Calculate the remainder when h(-15) is divided by 20.
3
Suppose 0*l + l - 36 = 0. Suppose 2*h + 54 = 3*s + 336, -h - 4*s = -141. What is the remainder when h is divided by l?
33
Suppose -73 - 95 = -14*n. Suppose 5*o - 195 = -4*g - 53, 0 = -4*g + n. What is the remainder when 93 is divided by o?
15
Let s(f) = -3*f - 4. Let m be -1 + (4 - 0 - 15). What is the remainder when s(m) is divided by 11?
10
Suppose -5*z = x + 22, 2*x + 27 = -3*z + 6*x. Calculate the remainder when (-1 - z/15)/(1/(-33)) is divided by 12.
10
Suppose -2*r - 2*p = 34, 4*r + 38 = -5*p - 34. Let u(x) = x**2 + 8*x - 5. What is the remainder when u(r) is divided by 16?
12
Let a(l) = -4*l - 3. Let p be a(-14). Suppose 5*w - 143 = -p. Calculate the remainder when w is divided by 7.
4
Suppose 6*p = 4*p + 24. Let c = 22 - 31. Let d = p + c. Calculate the remainder when 5 is divided by d.
2
Let d(m) = 16*m**3 - m**2 - 2*m - 2. Let l be d(-1). Let u = l - -21. Let h = -1 + 6. What is the remainder when h is divided by u?
1
Suppose c - 4*d - 17 = 0, 9 = c - 2*d - 6. Let j be (-2)/(-5)*(186 - 1). Suppose 3*b = b + j. Calculate the remainder when b is divided by c.
11
Let j = 65 - 37. Suppose 4*d - j = 12. Calculate the remainder when 37 is divided by d.
7
Let o = 119 + -64. Let k = -32 + o. What is the remainder when k is divided by 6?
5
Let b be (4 - 6 - -6) + 6. Calculate the remainder when (-1*(-5)/b)/(1/22) is divided by (-2)/(2/(-3)) - 1.
1
Let w = -16 - -27. Calculate the remainder when 40 is divided by w.
7
Let i be 2/(-3) + 560/(-6). Let n = i + 105. Calculate the remainder when n is divided by 7.
4
Suppose 3*q + 2 = 5. Suppose f - 3 - q = 0. Suppose f*h = 3*k + 16, 8 - 2 = 2*h - 2*k. Calculate the remainder when 27 is divided by h.
6
Let y = -23 + 32. Let l(j) be the second derivative of 25*j**4/12 + j**3/6 + j**2/2 + 2*j. Calculate the remainder when l(-1) is divided by y.
7
Let t(z) = -11*z - 183. What is the remainder when 101 is divided by t(-19)?
23
Suppose -h - 13 = -5*s, -42 = -5*h - 4*s + 9. Calculate the remainder when 145 is divided by h.
5
Let c = -158 - -220. Calculate the remainder when 238 is divided by c.
52
Suppose 8*a + 2*s - 461 = 3*a, -4*s = a - 103. What is the remainder when a is divided by 47?
44
Suppose 10*r - 5*r = 940. Suppose -4*k - 4*q + r = 0, k - 4*q - q = 23. What is the remainder when k is divided by 13?
4
Let s(p) = -4*p**2 + 7*p - 4. Let n be s(4). Let m = -17 - n. Calculate the remainder when 42 is divided by m.
19
Let k be 58/(-4)*(-1 + -1). Let n = 33 - k. What is the remainder when n is divided by 1?
0
Let r = 16 - -40. Suppose 5*w = -2*w + 105. What is the remainder when r is divided by w?
11
Suppose 5*n - 182 = 88. Calculate the remainder when 483 is divided by n.
51
Let g = 165 - 109. Suppose 0*l - g = -4*l. Calculate the remainder when 135/3 + 1 - (13 + -8) is divided by l.
13
Let v(a) = -a - 391. Let c = -5 - -5. Let z be v(c). What is the remainder when (-8)/(-32) - z/4 is divided by 25?
23
Suppose -8*l = 245 - 469. What is the remainder when 74 is divided by l?
18
Let t(p) = 0*p**2 - p**2 - 2*p**2 + 3 - 3*p + 2*p**2. Calculate the remainder when 11 is divided by t(-3).
2
Let o(h) = 2*h**2 + 29*h + 193. Calculate the remainder when o(-20) is divided by 23.
22
Suppose 234 = 3*t + 3*t. Calculate the remainder when 233 is divided by t.
38
Let l(v) = v**3 - 10*v**2 - 8*v - 7. Calculate the remainder when 204 is divided by l(11).
22
What is the remainder when (-9)/(-9) - (2006/(-1) - 5) is divided by 65?
62
Let c = 227 - 104. Calculate the remainder when c is divided by 42.
39
Suppose 0 = 4*u - 0*x - 4*x - 20, 4*u - 11 = -5*x. What is the remainder when 92 is divided by ((-2)/u)/(6/(-228))?
16
Let x(c) = -c**3 + 5*c**2 - 2*c - 3. Let b be x(2). Suppose -2*o = -a + b, a + 4*o - 23 = 12. What is the remainder when 87 is divided by a?
12
Let x(s) = -4*s + 0*s + 20 - 22. Calculate the remainder when 71 is divided by x(-10).
33
Suppose 4*f - 4*k = 152, -7*f + 2*f + 182 = -k. What is the remainder when 46 is divided by f?
10
Let l(x) = x**2 + 8*x - 27. Let q be l(-13). Suppose -33*u = -q*u + 215. Calculate the remainder when 128 is divided by u.
42
Let k(l) = -125*l - 1. Let u be k(-1). Let h = 173 - u. What is the remainder when h is divided by 13?
10
Let c(t) = 3*t + 1. Calculate the remainder when (170/(-7) + 2)/(70/(-245)) is divided by c(7).
12
Let z(x) = 5*x - 36. Suppose -39 = -5*o - 4*w, 3*w + 26 + 19 = 3*o. Calculate the remainder when z(o) is divided by 2.
1
What is the remainder when 481/111*(0 + 12) is divided by 14?
10
Suppose 0 = -v + 3*i + 500, -980 = -2*v - 6*i + 2*i. Calculate the remainder when v is divided by 55.
54
Let o = -66 - -29. Let u = o + 52. Suppose 0 = 2*g - 3*g + u. Calcul | {
"pile_set_name": "DM Mathematics"
} |
llest value? (a) 4/7 (b) -1 (c) -2 (d) 0.006
b
Which is the biggest value? (a) 23 (b) -0.4 (c) 3 (d) -0.5
a
What is the second smallest value in 13/6, 5, 2, 0, 14?
2
What is the third biggest value in -0.5, 311, -2/9?
-0.5
What is the second biggest value in 6, -0.5, -5, 4/3, 0.3?
4/3
Which is the fourth smallest value? (a) -1 (b) -13 (c) -0.3 (d) -5 (e) -4
a
What is the fourth biggest value in 5, 2/7, 3/8, -5, 3.2?
2/7
What is the second biggest value in 2/7, 2/3, 21?
2/3
What is the biggest value in -1048, -2, 0.4?
0.4
What is the fourth biggest value in -17, 3, 0.8, -2?
-17
Which is the fifth smallest value? (a) -2 (b) -13 (c) -4 (d) 0.04 (e) 1/6
e
Which is the second smallest value? (a) -0.1 (b) 0.2 (c) -56 (d) -0.5
d
What is the third biggest value in -2395, -3, 3?
-2395
Which is the fourth smallest value? (a) 0.27 (b) 21 (c) -4 (d) 1 (e) 1/4
d
Which is the fourth smallest value? (a) 0.2 (b) -1/5 (c) 2 (d) 0 (e) -14
a
Which is the fourth smallest value? (a) -4 (b) 4 (c) -2/5 (d) -2
b
What is the second biggest value in 0.06, 5, -18?
0.06
What is the third smallest value in 20, -0.2, 2/5?
20
Which is the fourth smallest value? (a) -40 (b) 1/3 (c) -2 (d) 0.4
d
What is the third smallest value in -2/11, -7, -2, 2?
-2/11
What is the third biggest value in 2, 6, 20/9?
2
Which is the biggest value? (a) -0.81 (b) 5 (c) 1
b
What is the third biggest value in 0, -73, 1/5?
-73
Which is the second smallest value? (a) 5 (b) -4 (c) -269
b
Which is the third smallest value? (a) 0.3 (b) 49 (c) 1/7 (d) -8
a
Which is the third biggest value? (a) 0.5 (b) -238 (c) -3
b
What is the biggest value in -2/15, 0, 3, 0.1?
3
What is the fourth smallest value in -194, -0.2, -8, -0.3?
-0.2
What is the fourth smallest value in -0.02, -1, 1, 0.4?
1
Which is the smallest value? (a) 1/9 (b) 0.2 (c) 4 (d) 3/2
a
What is the third smallest value in -2, -0.12, 3/8, -1, 2/9?
-0.12
What is the third biggest value in -0.3, -0.5, -4, 4/215?
-0.5
What is the third smallest value in 19, -2, 77?
77
Which is the second smallest value? (a) 157 (b) -5 (c) 2 (d) 3
c
What is the third smallest value in 0.1, 17.8, -1?
17.8
Which is the fourth smallest value? (a) -1/2 (b) -110 (c) 2 (d) 0.4
c
Which is the smallest value? (a) 1.13 (b) -0.03 (c) -0.1 (d) 2 (e) -1
e
Which is the second smallest value? (a) -11 (b) 0.08 (c) -2/37
c
What is the smallest value in 1/5, -13, -0.8?
-13
Which is the fourth biggest value? (a) 4/17 (b) -5 (c) 2 (d) 1/2 (e) 0.4
a
What is the second smallest value in 32, -1/7, -0.39?
-1/7
Which is the fourth biggest value? (a) -12 (b) 1/41 (c) -1/2 (d) -5
a
What is the second smallest value in 5, 86, -0.3?
5
Which is the biggest value? (a) -16 (b) 1 (c) 4/7 (d) -5
b
What is the fourth smallest value in 12.2, -1/3, 0.07, -0.5?
12.2
What is the second smallest value in -3, -21.64, 1?
-3
Which is the second biggest value? (a) -9 (b) 0.3 (c) 0.03 (d) -5
c
Which is the third biggest value? (a) 2 (b) 0.1 (c) -5
c
What is the second smallest value in 0.1, 0.0643, -0.4?
0.0643
Which is the fourth biggest value? (a) -1/2 (b) -0.2 (c) 0.3 (d) 4/5
a
Which is the second smallest value? (a) -4/7 (b) -2/27 (c) 0.1
b
What is the third smallest value in -0.3, 4, -68?
4
What is the second biggest value in 1.16, 2/11, -5, 5, -0.5?
1.16
Which is the third biggest value? (a) 0.078 (b) -1/2 (c) 6 (d) -1/4
d
What is the third biggest value in -5/3, -2, 21?
-2
Which is the smallest value? (a) 3 (b) 125 (c) -17 (d) 0.3 (e) 2
c
Which is the third biggest value? (a) -1 (b) -1.5 (c) 0.1
b
Which is the smallest value? (a) 3 (b) -173 (c) -2
b
Which is the second smallest value? (a) 2/13 (b) -2 (c) -2/5 (d) -4
b
What is the second biggest value in -3, 0.4, -8/3, 8?
0.4
Which is the third smallest value? (a) -1 (b) -17 (c) 20
c
What is the fifth smallest value in -3, 4, -2/7, -0.4, 5?
5
Which is the second biggest value? (a) -4 (b) 50 (c) 4
c
What is the biggest value in -6, 9, -0.5, -2?
9
What is the third biggest value in -0.1, 0.7, -0.3?
-0.3
What is the fourth biggest value in -36, -3, -1, 1?
-36
What is the third smallest value in 23, 0.06, 8?
23
Which is the smallest value? (a) -2.2 (b) 0.07 (c) 2/3
a
Which is the second smallest value? (a) 1 (b) 1/6 (c) 1/11
b
Which is the second smallest value? (a) 1.2 (b) 9 (c) -2
a
Which is the third smallest value? (a) -2.5 (b) -0.4 (c) -1/4 (d) -3
b
Which is the fourth smallest value? (a) -2/3 (b) -4 (c) -13 (d) -0.7 (e) -2
d
Which is the smallest value? (a) 7 (b) -0.19 (c) 15/14
b
Which is the fourth biggest value? (a) -0.058 (b) 0.4 (c) 2/15 (d) -7
d
Which is the third smallest value? (a) 12 (b) -4 (c) 7/12 (d) 4
d
What is the second smallest value in 3, 0.39, -16?
0.39
What is the fourth smallest value in -25, -1, 1, -2?
1
What is the third smallest value in -0.1, 32/5, 3?
32/5
What is the biggest value in 0.5, 30, -0.06, 0?
30
What is the second biggest value in 15, -3.5, -4?
-3.5
What is the second smallest value in 2, 75, 0.2?
2
What is the second biggest value in -1/5, -2/9, -2, -29?
-2/9
Which is the third biggest value? (a) 4/3 (b) -1/15 (c) -0.3
c
Which is the biggest value? (a) -2 (b) 4/3 (c) 12 (d) 0.2 (e) -12.4
c
What is the third smallest value in -0.181, -1, -0.4, 0.2?
-0.181
Which is the fifth biggest value? (a) 4 (b) -6 (c) -2/5 (d) -0.1 (e) -4/15
b
Which is the second smallest value? (a) 1/2 (b) 2 (c) 1/3111
a
Which is the second biggest value? (a) 5 (b) 6/25 (c) -5 (d) 0.1
b
Which is the biggest value? (a) 1/6 (b) 1 (c) 146 (d) -7.6
c
Which is the third biggest value? (a) -0.2 (b) -0.1 (c) -38 (d) 1 (e) 3
b
What is the biggest value in 0.1, -2, -1/3, 35?
35
Which is the second biggest value? (a) -2/7 (b) -1/8 (c) 1
b
What is the second smallest value in -0.1, -2, -1/21, -1, -1/5?
-1
What is the second biggest value in -0.5, 3/29, -1/4, -32?
-1/4
Which is the second smallest value? (a) -3/5 (b) 2.578 (c) -3 (d) -0.2 (e) -5/4
e
What is the biggest value in -3, 5, 63, 1/2, -5?
63
What is the third biggest value in -2/5, 18/17, 1/9?
-2/5
What is the biggest value in 0, 2/3, 2/11?
2/3
What is the fifth biggest value in 2, -3, 3/7, 3, -65?
-65
What is the second smallest value in 43, 1, -4, 3?
1
Which is the biggest value? (a) -20 (b) 4 (c) 0.2 (d) -1/4
b
Which is the biggest value? (a) 82 (b) 5 (c) -7
a
Which is the second biggest value? (a) 1/4 (b) -4/17 (c) 0.3 (d) -0.1
a
Which is the second smallest value? (a) -6 (b) 3 (c) -2/11 (d) -0.2
d
Which is the biggest value? (a) -0.2 (b) -4 (c) -5 (d) 0.038
d
What is the second smallest value in 3, -3, 9/7, 3/5?
3/5
Which is the fourth biggest value? (a) 118 (b) -1 (c) -0.4 (d) 4/7
b
Which is the biggest value? (a) 7 (b) 0.4 (c) -5 (d) 0.5
a
What is the fourth biggest value in 19, 1, 2/17, 0.4?
2/17
Which is the third smallest value? (a) 1 (b) -0.07 (c) 0.1
a
Which is the second smallest value? (a) -3 (b) 13.9 (c) 0.4
c
What is the third smallest value in 7, 1, -2/13, -2/7?
1
Which is the second smallest value? (a) -56 (b) -2/3 (c) 0
b
What is the second biggest value in -0.4, -4, -1460?
-4
What is the smallest value in 2, 0.4, 2/11, 3?
2/11
What is the second smallest value in -1/4, -14/5, -8, -3?
-3
Which is the second biggest value? (a) 4 (b) 6/11 (c) -3
b
Which is the second biggest value? (a) 1/5 (b) -28 (c) -5 (d) 2/3
a
What is the fourth biggest value in -0.2, -95/2, 0.3, -0.3?
-95/2
What is the biggest value in -2/7, -7/3, 1?
1
Which is the third smallest value? (a) -3/4 (b) 0.5 (c) -0.16 (d) 2 (e) -0.2
c
What is the biggest value in 2, -6, -67, 6?
6
What is the third smallest value in -3, -13, 0.2?
0.2
What is the smallest value in -15, 0.3, -2/15, 4?
-15
What is the second biggest value in -1/5, 4, -1?
-1/5
Which is the second smallest value? (a) 4 (b) -0.3 (c) -15 (d) -5
d
Which is the second biggest value? (a) 0 (b) -0.7 (c) 3/8 (d) 4
c
Which is the third smallest value? (a) 5/2 (b) 2/9 (c) -3
a
Which is the biggest value? (a) -0.1 (b) 3 (c) 31/8
c
Which is the fifth smallest value? (a) 3 (b) -0.2 (c) 10 (d) -137 (e) -0.1
c
Wh | {
"pile_set_name": "DM Mathematics"
} |
-21823, -27763, -33037?
333*q**2 - 8271*q - 7
What is the k'th term of 972229, 1944291, 2916357, 3888427, 4860501, 5832579?
2*k**2 + 972056*k + 171
What is the p'th term of 1711, -1393, -6569, -13817, -23137, -34529, -47993?
-1036*p**2 + 4*p + 2743
What is the b'th term of 358, 630, 880, 1102, 1290?
-b**3 - 5*b**2 + 294*b + 70
What is the h'th term of 229610, 229613, 229616, 229619?
3*h + 229607
What is the b'th term of -20569, -31353, -42139, -52927, -63717, -74509, -85303?
-b**2 - 10781*b - 9787
What is the z'th term of 361, 405, 495, 649, 885?
3*z**3 + 5*z**2 + 8*z + 345
What is the f'th term of -634841, -1269651, -1904433, -2539187, -3173913, -3808611, -4443281?
14*f**2 - 634852*f - 3
What is the s'th term of -27, 792, 1821, 3060, 4509, 6168, 8037?
105*s**2 + 504*s - 636
What is the q'th term of -206118, -412998, -619878, -826758?
-206880*q + 762
What is the n'th term of -35129, -140373, -315727, -561191, -876765?
-35055*n**2 - 79*n + 5
What is the g'th term of -117681, -463410, -1039633, -1846356, -2883585, -4151326, -5649585, -7378368?
-g**3 - 115241*g**2 + g - 2440
What is the p'th term of 8520, 15423, 22326, 29229?
6903*p + 1617
What is the a'th term of -3009081, -6018180, -9027289, -12036414, -15045561, -18054736, -21063945?
-a**3 + a**2 - 3009095*a + 14
What is the p'th term of -137274065, -137274066, -137274067, -137274068, -137274069?
-p - 137274064
What is the u'th term of 12101451, 12101489, 12101529, 12101571, 12101615?
u**2 + 35*u + 12101415
What is the o'th term of -223892, -223917, -223958, -224015, -224088, -224177, -224282?
-8*o**2 - o - 223883
What is the l'th term of 2298, 5025, 12420, 26817, 50550, 85953, 135360, 201105?
389*l**3 + 4*l + 1905
What is the v'th term of -4384, -17715, -39882, -70885, -110724, -159399, -216910?
-4418*v**2 - 77*v + 111
What is the g'th term of 7758, 59925, 201518, 477249, 931830?
7452*g**3 + g**2 + 305
What is the d'th term of -927, -4027, -9233, -16545, -25963, -37487?
-1053*d**2 + 59*d + 67
What is the t'th term of -304074, -304280, -304486, -304692?
-206*t - 303868
What is the t'th term of 97403, 195362, 293323, 391292, 489275, 587278, 685307?
t**3 - 5*t**2 + 97967*t - 560
What is the b'th term of -135423, -270845, -406289, -541761, -677267?
-b**3 - 5*b**2 - 135400*b - 17
What is the w'th term of 535269, 1070259, 1605237, 2140197, 2675133, 3210039, 3744909, 4279737?
-w**3 + 534997*w + 273
What is the u'th term of -477925, -955847, -1433769, -1911691, -2389613?
-477922*u - 3
What is the p'th term of -1580425, -1580434, -1580443, -1580452, -1580461?
-9*p - 1580416
What is the y'th term of -7048117, -14096260, -21144403?
-7048143*y + 26
What is the y'th term of 13392, 26147, 38902, 51657, 64412?
12755*y + 637
What is the y'th term of 3691, 3235, 2585, 1741, 703, -529, -1955?
-97*y**2 - 165*y + 3953
What is the b'th term of 948344, 948358, 948402, 948494, 948652, 948894, 949238, 949702?
3*b**3 - 3*b**2 + 2*b + 948342
What is the t'th term of -953194, -1906366, -2859538, -3812710, -4765882, -5719054?
-953172*t - 22
What is the y'th term of 97554, 390214, 877980, 1560858, 2438854, 3511974, 4780224, 6243610?
y**3 + 97547*y**2 + 12*y - 6
What is the f'th term of -140624347, -281248695, -421873043, -562497391, -703121739, -843746087?
-140624348*f + 1
What is the q'th term of -258729, -258730, -258731, -258732, -258733, -258734?
-q - 258728
What is the x'th term of -8772041, -8772043, -8772045, -8772047, -8772049, -8772051?
-2*x - 8772039
What is the i'th term of 114641, 458471, 1031521, 1833791, 2865281, 4125991?
114610*i**2 + 31
What is the i'th term of 197191, 197153, 197089, 196999, 196883, 196741?
-13*i**2 + i + 197203
What is the w'th term of -151334421, -151334425, -151334429, -151334433, -151334437, -151334441?
-4*w - 151334417
What is the k'th term of 568288, 1136580, 1704866, 2273146, 2841420, 3409688, 3977950?
-3*k**2 + 568301*k - 10
What is the u'th term of -8249, -8131, -8013, -7895, -7777?
118*u - 8367
What is the i'th term of 1148139, 2296060, 3443981?
1147921*i + 218
What is the y'th term of -13649, -31729, -61859, -104039, -158269, -224549?
-6025*y**2 - 5*y - 7619
What is the t'th term of 382888, 382963, 383088, 383269, 383512?
t**3 + 19*t**2 + 11*t + 382857
What is the b'th term of -171, -898, -2399, -4914, -8683, -13946?
-40*b**3 - 147*b**2 - 6*b + 22
What is the r'th term of 17769, 33932, 50095, 66258, 82421?
16163*r + 1606
What is the k'th term of 2064, 8047, 18014, 31965?
1992*k**2 + 7*k + 65
What is the l'th term of 265359, 265359, 265365, 265377, 265395, 265419?
3*l**2 - 9*l + 265365
What is the b'th term of 1512, 8332, 19698, 35610, 56068, 81072?
2273*b**2 + b - 762
What is the v'th term of 583102, 1166097, 1749102, 2332123, 2915166, 3498237, 4081342, 4664487?
v**3 - v**2 + 582991*v + 111
What is the v'th term of -88622, -354718, -798258, -1419236, -2217646?
v**3 - 88728*v**2 + 81*v + 24
What is the t'th term of 436, 775, 918, 763, 208?
-17*t**3 + 4*t**2 + 446*t + 3
What is the t'th term of 28550678, 57101665, 85652664, 114203681, 142754722, 171305793, 199856900, 228408049?
t**3 + 28550980*t - 303
What is the f'th term of 934, 3176, 6630, 11296, 17174, 24264?
606*f**2 + 424*f - 96
What is the n'th term of -100477571, -100477573, -100477575?
-2*n - 100477569
What is the v'th term of -1727, -2331, -1745, 31, 2997?
595*v**2 - 2389*v + 67
What is the k'th term of -333541, -1334111, -3001729, -5336395?
-333524*k**2 + 2*k - 19
What is the z'th term of -107126, -856978, -2892284, -6855770, -13390162, -23138186, -36742568?
-107121*z**3 - z**2 - 2*z - 2
What is the h'th term of 441, 1669, 3561, 5991, 8833, 11961?
-21*h**3 + 458*h**2 + h + 3
What is the y'th term of -220952, -220855, -220692, -220463, -220168, -219807, -219380?
33*y**2 - 2*y - 220983
What is the l'th term of -1916202, -1916243, -1916304, -1916379, -1916462, -1916547, -1916628?
l**3 - 16*l**2 - 1916187
What is the j'th term of -7595931, -7595910, -7595889, -7595868, -7595847?
21*j - 7595952
What is the t'th term of -273941, -547448, -820955, -1094462?
-273507*t - 434
What is the f'th term of 99498, 99316, 99134, 98952, 98770?
-182*f + 99680
What is the j'th term of -33987, -33954, -33889, -33786, -33639, -33442, -33189, -32874?
j**3 + 10*j**2 - 4*j - 33994
What is the s'th term of 533610, 533670, 533730, 533790, 533850, 533910?
60*s + 533550
What is the z'th term of -715517, -715533, -715549, -715565, -715581?
-16*z - 715501
What is the v'th term of -1282, -1571, -1860, -2149, -2438, -2727?
-289*v - 993
What is the w'th term of -12925833, -12925835, -12925837, -12925839?
-2*w - 12925831
What is the k'th term of 68, 35, 258, 965, 2384, 4743?
38*k**3 - 100*k**2 + k + 129
What is the b'th term of -436630, -436075, -435152, -433861?
184*b**2 + 3*b - 436817
What is the f'th term of 119016056, 119016059, 119016062, 119016065, 119016068, 119016071?
3*f + 119016053
What is the u'th term of -3207, -4240, -895, 9018, 27689?
365*u**3 - u**2 - 3585*u + 14
What is the m'th term of -138162359, -138162363, -138162369, -138162377, -138162387, -138162399, -138162413?
-m**2 - m - 138162357
What is the s'th term of -96412, -386903, -871064, -1548901, -2420420, -3485627?
-s**3 - 96829*s**2 + 3*s + 415
What is the l'th term of 3206752, 12827015, 28860788, 51308071, 80168864, 115443167, 157130980?
3206755*l**2 - 2*l - 1
What is the h'th term of -56, -137, -344, -695, -1208, -1901, -2792?
-3*h**3 - 45*h**2 + 75*h - 83
What is the o'th term of 7698063, 15396045, 23094027?
7697982*o + 81
What is the v'th term of -910324, -3641275, -8192860, -14565079, -22757932, -32771419, -44605540?
-910317*v**2 - 7
What is the n'th term of 4593530, 18374114, 41341756, 73496456, 114838214, 165367030, 225082904?
4593529*n**2 - 3*n + 4
What is the q'th term of -40889, -81271, -121653, -162035?
-40382*q - 507
What is the s'th term of -1951069, -1950050, -1949029, -1948006, -1946981?
s**2 + 1016*s - 1952086
What is the f'th term of -961, -7845, -26491, -62779, -122589?
-980*f**3 - f**2 - 21*f + 41
What is the l'th term of -74817525, -149635051, -224452577, -299270103, -374087629?
-74817526*l + 1
What is the r'th term of 240972, 1927146, 6503890, 15416484, 30110208, 52030342, 82622166, 123330960?
240880*r**3 + 5*r**2 - r + 88
What is the u'th term of 1026657 | {
"pile_set_name": "DM Mathematics"
} |
the same value?
False
Let x(f) = -2*f + 16. Let u be x(9). Let n be ((-5)/5)/(u + 3). Do n and 0.02 have the same value?
False
Let o = -361 - -368.4. Which is smaller: o or -2/5?
-2/5
Suppose -12 = 2*j - 2*y, 0 = -5*j - 0*y + 2*y - 18. Let x be (j/(-4))/(4/(-16)). Let n(h) = h + 1. Let l be n(x). Which is greater: 6/13 or l?
6/13
Suppose 2*q - 8 = -w, -2*w + 6 = 5*q - 3*w. Suppose 0 = 2*k, -q*j + 4*k = 11 + 13. Let g be (-2 - -3) + 8/j. Which is bigger: g or 5?
5
Let k = -1097 + 1007. Which is greater: k or -88?
-88
Suppose -3*h = 2*x - 14, h - 2 = -2*x + 4*x. Is 2/1079 != x?
True
Let h = 3.0016 - 0.0016. Is -51 >= h?
False
Let i = 1645 - 1637. Are 9/5 and i equal?
False
Let j = -1093475/247 + 4427. Let m = -1/13 - j. Suppose 0 = -3*n + 10*v - 5*v - 12, v = 3*n. Is m greater than n?
False
Let f(d) = d**3 - 8*d**2 + 5*d. Let c be f(3). Let y = c + 23. Is y smaller than -8?
False
Let w be 6968/234 + 2/9. Suppose -62 = 2*f - 4*f. Which is greater: f or w?
f
Let s be (-360)/5292*12/(-10). Is s > 0?
True
Let t(x) = 16 + x - x**2 - x**2 - 19 + x**3. Let j be t(2). Which is greater: j or -15/8?
j
Let m be 22/(-7) + 1 + 1. Suppose -4*a = -a. Suppose -3*d = -a*d. Which is smaller: d or m?
m
Let c = -229 + 231. Let q = -21 + 32. Is c greater than q?
False
Let w(h) = -h**3 + 59*h**2 - 116*h + 117. Let l be w(57). Is l bigger than 20?
False
Let p(j) = j**2 + j - 3. Let n be p(-3). Suppose -3*r = -n*s - 4*r - 2, -2*s + r = 8. Let w = -0.05 + 0.25. Is w at least s?
True
Let v = 5 + -3.9. Let p = 1.3 - v. Let b = -0.08 + 4.08. Is b > p?
True
Let z(k) = -k - 18. Let y be z(0). Let g be (-623)/63 + 2/y. Let p(u) = u**3 + 11*u**2 + 11*u + 8. Let x be p(g). Is x equal to -2?
True
Let f be ((-38745)/1430)/(-9) - (-6)/(-2). Which is smaller: -1 or f?
-1
Let b = 1240 - 8655/7. Suppose -4 = -2*s, -2*r + 3*r = -3*s + 3. Let a = b + r. Is a bigger than -1/3?
True
Let d = -1582.8 + 1583. Let m = -2 - -1.97. Let i = -0.37 + m. Which is smaller: i or d?
i
Let d = -1.1 + 0.1. Let t = -118 + 114. Is d at least as big as t?
True
Let m = 10 + -14. Let n = -77 + 68. Let s(v) = -v - 11. Let b be s(n). Which is smaller: m or b?
m
Let i be ((-4)/(-10))/((-1)/10). Let n be ((-16)/(-20))/(i/(-30)). Let z = n + -11. Is z at most as big as -3?
True
Let u = 7 + 5. Let f be 1*(u - -3)*-1. Let b be 26/(-10) - (-6)/f. Are -2 and b nonequal?
True
Suppose 5*i = 4*q + 9, 6*q = 5*i + q - 10. Suppose l - 195 = 4*l. Let g be 3/(1 - l)*-4. Which is greater: g or i?
i
Suppose 2*m + 5*o + 31 = 0, -m + 4*m - 1 = 2*o. Is -40/11 less than m?
True
Let z(n) = -2*n + 27. Let c be z(11). Which is bigger: c or -33?
c
Suppose 0 = -44*t + 46*t + 5*b - 17, 15 = 5*b. Is -10/73 at most t?
True
Suppose -3*v = 7 - 1. Let i(z) = -z**3 - 11*z**2 - 9*z + 5. Suppose a - 25 = 2*b, -5*b + 12 = 5*a + 37. Let f be i(b). Is v less than f?
False
Let p = -10989/70 - -157. Which is bigger: 0 or p?
p
Suppose -8*o + 95 + 145 = 0. Let m be (-9)/(-2) + o/20. Is 14 at least as big as m?
True
Let u = 16927/39 + -434. Let p(x) = x**3 + 18*x**2 + 46*x + 14. Let a be p(-15). Which is smaller: a or u?
a
Let b = 286 + -146. Let f = 140 - b. Which is greater: -2/25 or f?
f
Let y = -85 + 147. Let l = y - 41. Are l and 21 unequal?
False
Let x be (6 - (-392)/(-70))/(4/(-10)). Is -26/37 <= x?
False
Suppose -5 = 5*u - 15. Suppose u*c = 3*c + 2. Let l = -984/5 + 196. Is l at least as big as c?
True
Let o = 22 + -20. Let k(f) = -f**2 - f. Let h(d) = -13*d**2 + d + 2. Let z(l) = o*k(l) + h(l). Let q be z(1). Which is greater: q or -13?
-13
Let j(u) = -22*u - 13. Let o be j(7). Let p = 1839/11 + o. Are 1 and p non-equal?
True
Let b = -18 - -19. Let v be (-11)/(-55)*(b + 4). Let m be v - (-1 + 10/4). Is -2 less than m?
True
Let p = 3/53 - -147/212. Which is greater: 2 or p?
2
Let l be ((-26)/(-12) - (-12)/(-72))*-2. Let r be l + 10/4*2. Which is bigger: r or -2/75?
r
Let w(r) = 2*r + 11. Let n = 6 + -12. Let x be w(n). Let o = 8 - 11. Which is greater: x or o?
x
Let p = -3078 - -674080/219. Which is smaller: p or 0?
p
Let a be (8/(-50))/(38/(-95)). Which is bigger: a or 5.5?
5.5
Let r = -45 - -41. Let k = r + 3.9. Is k > -2/51?
False
Let l = -556 + 551.696. Let r = l - 0.726. Let a = r - -0.03. Is a at least as big as -1?
False
Let i(w) = w - 9. Let a be i(-7). Let n = a - -18. Suppose n*y - y - 17 = 0. Which is smaller: y or 18?
y
Suppose -13 = -5*c - 8. Let x be -16 - c/(-2)*0. Are x and -33/2 equal?
False
Let j = -5.652 - -0.052. Let v = 5.3 + j. Is -0.2 at most as big as v?
False
Let l(q) be the first derivative of q**4/2 - 4*q**3/3 + 2*q**2 + 3*q - 15. Let a be l(4). Is a greater than 82?
True
Let b be 3*-2*(-4)/12. Let u be b/7 - (-8)/(-28). Which is bigger: -3/68 or u?
u
Suppose -99*s + 247*s = -10952. Suppose 4*v = v - 225. Which is smaller: s or v?
v
Suppose 3*b - 3 = 3. Let s = 2.9 - 2.69. Let p = s - 0.21. Which is smaller: b or p?
p
Suppose -2*g + 20 = -4*l + 2*g, 4*l + 4*g - 20 = 0. Let p(v) = v**3 + 8*v**2 + 9*v + 10. Let h be p(-7). Let i be 100/72 + h/18. Is l equal to i?
False
Let b = 0.7 - 0.3. Let m = -0.7 + b. Let f = 1450.01 - 1450. Is m bigger than f?
False
Let z be 2*4*((-9)/(-36) + -1). Which is greater: -200/31 or z?
z
Let t = -3.1 - -3. Let g be (-2)/10 - (1 - 17592/(-65)). Let p = g + 272. Which is smaller: t or p?
t
Let n = 76 + -77.64. Let p = n + -0.36. Which is smaller: p or 1?
p
Let l be -16 - ((-4)/4 - -4). Which is smaller: l or -26?
-26
Let v(w) = w**3 - 6*w**2 + 7*w - 11. Let d be v(5). Which is smaller: 1/77 or d?
d
Let k(t) = 2*t**3 - 29*t**2 - 23*t + 12. Let d be k(15). Let a = d - -113. Which is bigger: a or 2?
a
Let r = 0.05 - 7.05. Does -27 = r?
False
Let w(x) = 12*x - 604. Let p be w(51). Which is greater: p or -0.3?
p
Let c = 2 - 1. Let j be (-132)/363*(-2)/(-16). Is j at most as big as c?
True
Suppose 4*j - 3*r - 29 = 2*r, -3*j + 2*r + 13 = 0. Let a = 41 - 37. Let c be ((-9)/132)/(1*(-6)/a). Which is greater: c or j?
j
Let y = -62 + 68. Suppose -3*d - 6 = 3. Let g be (-18)/84 - d/y. Is g less than or equal to 2/11?
False
Suppose 0 = 5*f - 3*f + 26. Let p(g) = g**2 - 3*g - 12. Let j be p(0). Which is greater: f or j?
j
Let b = -4755 + 4754.93. Let w(c) = c**2 - 3*c + 4. Let n be w(3). Which is greater: b or n?
n
Let a be (-4)/2 + 47 + 0. Suppose i + a = -4*i. Is -9 >= i?
True
Let g = 1 + 5. Let b be (-6)/15 + 395/(-75). Let v = g + b. Which is smaller: 4/7 or v?
v
Let a = -87 - -87. Let u be a - -1 - (-2 + -1). Suppose 0*f = 3*f - 18. Which is smaller: f or u?
u
Let q(r) = r - 5. Let v be q(-7). Let t(m) = -m - 8. Let z be t(v). Let n be -3 + z + 33/15. Which is bigger: n or 4?
4
Suppose -16*m + 19*m + 93 = 0. Let w = m + 19. Let y = w + 12. Is -2/57 < y?
True
Let z be 13/(-6) - (3 + 18)/(-7). Is 2 bigger than z?
True
Let f = -839/3 - -279. Let t = -0.41 - -1.03. Do t and f have the same value?
False
Suppose 0 = 8*w + 12 + 4. Let k be (w/63)/((-2)/48*4). Is -0.1 < k?
True
Let y be (1/(-3))/(12/(-504)). Let j = -12 - y. Is -23 at least j?
True
Let s = 313 - 317. Which is smaller: 36 or s?
s
Let f = -1.142 + 0.142. Is f <= 472?
True
Let x(s) = -3*s**3 - 44*s**2 + 20*s - 30. Let r be x(-15). Is -105 equal to r?
True
Let q = 32605/38 + -858. Is q bigger than 1?
False
Let q = 14 - 14. Suppose -8*f + 5*y + 28 = -5*f, q = f - 5*y - 6. Is f at least 13?
False
Let x be (-1 - 0)/((-1)/(-19)). Let n be 14/28 - (-54)/4. Let c = n + x. Which is bigger: -4 or c?
-4
Suppose 9*o - 5*o = 24. Let t be (o - 2)*(-8 - 0). Is -32 at most as big as t?
True
Let r = -0.309 + 0.339. Which is smaller: r or -3/2?
-3/2
Let g(f) = -8*f + 282. Let n be g(39). Is -26 greater than n?
True
Let p = 8/47 + 476/517. Suppose 4*r - 4 = -3*o + 15, r = 4*o. Is o bigger than p?
False
Let d = -13/834 + 9401/549606. Is d not equal to 1?
True
Suppose 5*d = -7 - 3. Let p be 315/(-84) - 8/d. Which is bigger: p or -0.01?
p
Suppose -2*g = s + 199, 4*g + 4*s + 396 = -0*g. Are -100 and g unequal?
False
Suppose -3*l + l = a + 6491, 5*l + 2*a = -16229. Let r = l + 246767/76. Let k = r + -13/19. Do 1/2 and k have different values?
True
Suppose -5*f = f + 18. Let v(w) = w + 2. Let y be v(f). Let i = -272/15 - -52/3. Do y and i have the same value?
False
Let v = -1 + -26. Let x = v - -28. Are -2/9 and x nonequal?
True
Suppose 1 + 0 = -t. Let h be (-2 | {
"pile_set_name": "DM Mathematics"
} |
in y, h, 0.4?
h
Let k = 9/4 + -2. Suppose 666*b = 655*b + 44. Let x = 0.5 - 0.3. What is the closest to b in x, 1/2, k?
1/2
Let s = 19627 - 19624. What is the closest to 2/7 in s, -43/2, -1/2?
-1/2
Let n be (-138)/((15/20)/(9/(-40))). Let v = n + -41. Let m = 7 - 6. What is the nearest to 0 in v, m, 0.3?
0.3
Let y = -4 + 2. Let z = 752/1865 - 6/1865. What is the closest to 0 in z, y, -0.05?
-0.05
Suppose 226 = 13*n + 148. What is the closest to -6.3 in n, -2/3, -5, 1/8?
-5
Let j = -659 - -662. Which is the closest to -1? (a) j (b) -4 (c) -0.5 (d) 1/74
c
Let h = -16.8 - -17. Which is the closest to -2/7? (a) -4 (b) -2/5 (c) 0.1 (d) h
b
Let x be 6/(-9) + 8/3. Let p be x*15/72 + 39/(-52). Let w = -11 - -7. Which is the nearest to p? (a) 0.1 (b) w (c) -0.4
c
Let f = -47 - -143/3. Let o = 89751/2 + -362389/8. Let w = o + 423. What is the closest to 1 in f, w, -2/7?
f
Let l = -8010 - -24031/3. Which is the closest to -1/4? (a) l (b) 8/5 (c) -4 (d) 4
a
Let v = -2011 + 2019. Let l = -50 + 352/7. What is the closest to v in 5, l, -0.5?
5
Let g be (-569343)/(-1988462) + (-1 - 10/(-14)). Let w = g + -6573/8210. Which is the closest to 2? (a) -1 (b) w (c) -4
b
Let r = 212 + -208. Suppose -r*v + 38 = -42*v. Let n = -5 + 10. What is the closest to v in -1/5, n, 0.3?
-1/5
Let p = 1589 - 1589. Which is the closest to 1? (a) p (b) 72 (c) 3/7 (d) -2
c
Let d = -4 + 3.8. Let y be 0 + 3 - 588/168. Let s = -0.2 + 0.7. What is the closest to y in s, 6, d?
d
Let q = 54 - 61. Let z = q - -46/7. Let h = -18.4 + 18.7. Which is the closest to -2? (a) h (b) z (c) -2/5
b
Let n = -42.1 - -42. Let k = -349 + 349. Let t = -50/7 + 7. Which is the nearest to 3? (a) k (b) n (c) t
a
Let g = 191/204 - -27/68. What is the closest to 0.2 in g, -1/29, -4, 0.4?
0.4
Let a = -4247 - -4248. What is the closest to -0.1 in -3, -0.035, a?
-0.035
Let v be (-238)/28 - (-55)/10. What is the closest to 0 in v, -2/7, 0.2, -2/51?
-2/51
Let u be (-36)/520*-14 + (-1)/1. Let r = -3.91 + -0.09. Let h = -7 - r. Which is the nearest to u? (a) h (b) -1/3 (c) 0.1
c
Let q = -2 - -3. Let a = 69.9 + -70.154. Let u = 0.554 + a. What is the nearest to q in u, 4/5, 3?
4/5
Let q = -10407 - -2154254/207. Let m = q + -1/9. What is the closest to -1 in m, 2/5, -5?
m
Let m be 3/27 + (-1992)/(-2160) + (-5)/6. What is the closest to 0.1 in m, -0.3, -0.062, -2/11?
m
Suppose d - 264 - 19 = 0. Let p = 1985/7 - d. What is the closest to -1 in 0, 0.02, p?
0
Let o = -6 + 5. Let b be 1022/49 - 12/14. Let f be (7/70)/(12/b). What is the closest to o in -1/3, -2, f?
-1/3
Let o = -55501 + 55495. Let k = -5 - -9. What is the closest to 1 in o, k, -0.4?
-0.4
Suppose -3*d = v + 114, -19*v - 219 = 6*d - 14*v. Which is the closest to 0.2? (a) -0.5 (b) d (c) -4
a
Let h = 707 - 695. Suppose q - 2*z - 3 - 1 = 0, h = -3*z. Let d = 5/16 - -3/16. Which is the nearest to d? (a) 0.1 (b) q (c) 11
a
Let z = -102760/17 + 6044. What is the nearest to 0 in z, -3/2, 1/33?
1/33
Let j = 0.10974 - 77.10974. Which is the nearest to 2? (a) 5 (b) j (c) 1/3 (d) -0.06
c
Let c be 40/(-28)*((-153)/68 + 4). Suppose -2*v + 2 = 4. What is the nearest to 1 in 1, c, 1/5, v?
1
Suppose 431*z = 405*z - 78. What is the closest to z in -2/15, 1, 2, -3/4?
-3/4
Let s be 0 + 1 + 1 - (7 + -13 - -5). Which is the closest to 2? (a) -2 (b) s (c) -4 (d) -271/2
b
Let x be (-27)/(-21) - (-1855)/(-2205). What is the closest to 9 in -26, x, 4, 6?
6
Let r = -0.09 + -0.41. Suppose 0 = 2*y - 4*b + 4 + 10, 2*y = -5*b + 31. What is the nearest to -0.1 in y, r, -3/19?
-3/19
Let a = 589.31 - 586.31. Suppose -4*t = 4*w - 4, 4*t - 11 = 3*w - 0*w. Let l be w/5 - 54/(-170). What is the nearest to -5 in -3, a, l?
-3
Let m be 45/42 + (-20)/35. Suppose 0 = -336*x + 339*x + 6. What is the nearest to m in -0.5, 0.1, x?
0.1
Let a be ((-3)/21)/(27/54). Let m be ((-2)/5)/(32/(-20)). What is the closest to m in a, -3, 3?
a
Let g(r) = -183*r - 2657. Let o be g(-15). Which is the nearest to o? (a) -2/7 (b) -0.4 (c) 0.3
c
Let o = 11265 + -11263. Which is the nearest to o? (a) 5 (b) -3 (c) -128 (d) 1
d
Let j = 102 + -100. Suppose j*p - 4 = 8. Let n be (-15)/(-27) + p/(-27). Which is the closest to n? (a) -2/21 (b) 4 (c) -1/4
a
Let a = -3194.4 + 3194. What is the nearest to -0.2 in 1, 0.2, -7, a?
a
Let u = 1237/4964 + 1/1241. Suppose 84 = 46*p - 25*p. What is the closest to -1 in u, p, -2, -1/18?
-1/18
Let v = 1.12 + 0.03. Let s = -0.45 + v. Let h be 392/520 + (-6)/39. Which is the closest to s? (a) h (b) -1 (c) 1
a
Let p = 193/4 + -48. Let t = -1.8515 - -5.8515. Which is the nearest to 2/5? (a) p (b) 3/2 (c) t
a
Let h be 2/6*9/(-12). Let l = 765.0728 + -0.6728. Let y = l + -764. What is the nearest to -2 in h, -3, y?
-3
Let m = 22282/3 - 7428. Which is the closest to 1? (a) 5 (b) m (c) -5/2 (d) -1/3
d
Let n = -424.864 + -8.436. Let r = 489 + n. Let k = r + -56. Which is the closest to k? (a) 5 (b) -0.2 (c) 2/17
b
Suppose 0 = -5*s - 970 + 980. Let j = 0 + -6. Let i be 3*j/(-99)*-1. Which is the nearest to 1/4? (a) s (b) 1 (c) i
c
Let s = -4769/9550 + -3/4775. Let o = -25.6 - -26. What is the nearest to 1 in 1/2, s, o?
1/2
Let n = -0.21 - 0.09. Let t = -141 + 142. Which is the closest to 6? (a) n (b) t (c) -5
b
Let n(x) = -14*x - 29. Let z be n(-2). Let c be z + 0 - 3/(-9)*2. What is the closest to c in 0.3, 0.5, 1.1, -4?
0.3
Let d = 2.09 + -0.09. Let k = 19786 + -19786. What is the nearest to d in 1/7, k, -5, 3/7?
3/7
Let u = 3545.2 - 4225. Let f = u + 680. Let p be -3 + (-4)/(0 - 2). What is the closest to f in 0.1, p, 1/4?
1/4
Let q = 0.013887 - 0.113887. Let j = -19 - -17.2. What is the nearest to q in 0.3, 1/3, j?
0.3
Let g(n) = n**3 - 9*n**2 - 3*n + 15. Let c be g(9). What is the closest to 3 in 5/2, 0.5, c, 0.1?
5/2
Let t = -0.068 + -16.432. Let q = t + 16.5. Suppose -18 = o - d + 5*d, d + 7 = o. What is the nearest to q in -4, 0.5, o?
0.5
Let o = -0.2 + -0.3. Let f be 12/(-588)*2*7. Which is the nearest to f? (a) o (b) 1 (c) -2
a
Let k = -213 + 206. Let o = -0.153 - -3.153. What is the closest to 0.1 in o, 0.1, k?
0.1
Let y = -78.3 + 78. Let z = -55.9 - -56. Let p = -0.3 - -0.5. Which is the closest to p? (a) y (b) -1 (c) z
c
Let g = -9908.9 + 9909. Which is the nearest to g? (a) -1/12 (b) -1.4 (c) 0.5
a
Let c(r) = 3*r - 10. Let b be c(4). Suppose 2*o + 3*p = -b*o - 71, o - 5*p - 11 = 0. Let l = -12 - o. What is the closest to -0.3 in 1, 1/3, l?
1/3
Suppose 0 = -14*n + 10*n - 16. Let h be (11 - 13)/(n/10). Let p = -6/5 - -32/35. Which is the nearest to -0.1? (a) h (b) p (c) 0
c
Let i = -3512.9 + 3790. Let x = i - 319. Let s = x + 42. Which is the closest to s? (a) -0.5 (b) 1/5 (c) -1
b
Let k = 2631/13150 + -1/13150. Which is the nearest to 0.3? (a) -0.05 (b) 0 (c) 1/17 (d) k
d
Let w(j) = j**3 - 8*j**2 + 21*j - 25. Let d be w(5). Let p be (3 - -3) + -6 - 2/(-4). Which is the nearest to -3? (a) p (b) d (c) -2/5
c
Let i = -98650 - -590353/6. Let n = i - -258. Which is the closest to 0.05? (a) 1 (b) 0.05 (c) n
b
Let x = -0.579 + 0.079. Let w = -38.5 - -40.5. What is the closest to w in 1/10, x, -5?
1/10
Let f = -9 + 12. Suppose 21*m - 17 = -13*m + 51. What is the closest to m in 0, f, 3/10?
f
Let p = 4974 + -4991. What is the nearest to 0.2 in p, -4, -0.2, 1?
-0.2
Let t = 0.2 + -0.4. Let h = -20 + 61/3. Let z = -245267 + 245266.7. Which is the nearest to h? (a) z (b) -14 (c) t
c
Suppose -4*p = 8*p + 144. Let m be 3 - (-4 + 129/18). What is the closest to p in -0.5, m, -2/5?
-0.5
Let k = -15706.21 - -15706. What is the nearest to 0 in -3, k, -1?
k
Let s be 7 + 2/(-4)*4. Suppose o - s = -0. Let c be -3*(2*(-4)/(-8))/(-1). What is the nearest to -1 in -1/2, c, o?
-1/2
Let x = -9.89 + 9.39. What is the closest to -2 in 31, -0.22, x?
x
Let v = -0.03561 + -0.27129. Let r = v + 0.0069. What is the nearest to -1 in 1, -5, r, 0?
r
Let g(r) = -2*r**2 - 27*r + 8. Let s be g(-14). Let l be -7 - (-15 - s) - 5/3. What is the closest to 1/4 in -0.3, 0, l?
l
Let v = -0.0471 + 41.0471. Let r = -62 + v. What is the nearest to r in 4, 5, -2/5?
-2/5
Let k = -260.793 - -261. Let y = -0.093 - k. Let g = -0.5 + 0.9. What is the closest to -1/3 in g, y, -2/5?
y
Let r(x) = x**3 + x**2 - 4*x - 4. Let l be r(2). Let k = | {
"pile_set_name": "DM Mathematics"
} |
on multiple of 394800 and 3760?
394800
What is the smallest common multiple of 261 and 149901?
449703
Calculate the common denominator of 19/2672 and -65/34402.
275216
Calculate the common denominator of 56/38621 and -31/688156.
7569716
What is the smallest common multiple of 1076 and 47075?
188300
What is the least common multiple of 400380 and 40038?
400380
Calculate the smallest common multiple of 572000 and 22880.
572000
What is the common denominator of 149/3696 and 61/105?
18480
Calculate the lowest common multiple of 7533 and 9207.
82863
Find the common denominator of 93/4360 and 101/320.
34880
Calculate the lowest common multiple of 1152 and 707088.
16970112
What is the smallest common multiple of 5130 and 585?
66690
What is the smallest common multiple of 10168 and 1312?
40672
Calculate the common denominator of 185/2184 and 58/273.
2184
What is the common denominator of -13/5467 and -67/265540?
1858780
What is the smallest common multiple of 31955 and 38346?
191730
Find the common denominator of -33/303478 and -103/303478.
303478
What is the least common multiple of 560 and 9730?
77840
Calculate the common denominator of 149/15210 and -16/9.
15210
What is the common denominator of -5/5768 and -25/20248?
14598808
Calculate the lowest common multiple of 1033494 and 22.
1033494
Calculate the lowest common multiple of 35 and 1201130.
1201130
Find the common denominator of -17/16510 and -87/910.
115570
Calculate the common denominator of 12/964915 and -15/304.
15438640
What is the lowest common multiple of 2158 and 10790?
10790
Calculate the least common multiple of 1325 and 6095.
30475
Calculate the common denominator of -17/130400 and 179/120.
391200
Calculate the smallest common multiple of 62 and 8452.
262012
Calculate the smallest common multiple of 112 and 18368.
18368
What is the common denominator of 119/69192 and -83/16?
138384
What is the smallest common multiple of 735 and 1851?
453495
What is the common denominator of -113/666 and 15/158?
52614
What is the least common multiple of 36860 and 760?
73720
What is the smallest common multiple of 6832 and 75152?
75152
Calculate the common denominator of 55/45752 and 33/45752.
45752
Find the common denominator of 21/5227 and 51/41816.
41816
Calculate the common denominator of 8/4681761 and -1/30.
46817610
What is the smallest common multiple of 25916 and 2356?
25916
Find the common denominator of 26/7097 and 41/1128.
170328
Calculate the common denominator of -99/20 and 33/452326.
4523260
Calculate the least common multiple of 8 and 152337.
1218696
Find the common denominator of -95/164 and 103/35328.
1448448
What is the common denominator of -149/65562 and -11/21?
65562
Find the common denominator of 53/132164 and 5/423.
1189476
Calculate the lowest common multiple of 1536 and 16.
1536
What is the common denominator of 53/9 and -47/12342?
37026
What is the lowest common multiple of 504 and 828?
11592
Calculate the smallest common multiple of 1103760 and 7154.
7726320
Calculate the common denominator of -64/105 and 52/14511.
72555
Find the common denominator of 10/35061 and 74/285.
3330795
What is the lowest common multiple of 47707 and 481407?
5295477
Calculate the smallest common multiple of 4478 and 90.
201510
What is the lowest common multiple of 552 and 138?
552
Find the common denominator of -37/100485 and -83/168.
803880
Find the common denominator of 101/700 and -1/395.
55300
What is the lowest common multiple of 477546 and 494?
6208098
What is the smallest common multiple of 1 and 84544?
84544
Calculate the common denominator of -49/8 and -91/639684.
1279368
Calculate the common denominator of -137/7104 and -17/613312.
1839936
Calculate the common denominator of -38/255 and -89/6120.
6120
Calculate the common denominator of 131/17808 and 85/28938.
231504
What is the common denominator of -75/179648 and -43/24?
538944
What is the smallest common multiple of 25771 and 5?
128855
What is the common denominator of -97/864 and 67/68688?
137376
What is the common denominator of -38/69 and 76/30345?
697935
Find the common denominator of 139/72 and 17/36984.
110952
Calculate the common denominator of -55/6723 and -25/162.
13446
Calculate the lowest common multiple of 123648 and 1664.
1607424
Find the common denominator of 62/5 and -23/18826.
94130
Find the common denominator of 19/307940 and -38/519.
923820
Find the common denominator of 67/21 and -97/132525.
927675
Calculate the smallest common multiple of 12852 and 3556.
1632204
What is the common denominator of 11/100035 and -37/2679?
4701645
Calculate the smallest common multiple of 6 and 249238.
747714
Calculate the lowest common multiple of 84840 and 700.
424200
What is the common denominator of -7/276552 and 29/46?
276552
Calculate the smallest common multiple of 15 and 8545.
25635
What is the lowest common multiple of 34440 and 960?
275520
What is the lowest common multiple of 213 and 28045?
84135
What is the common denominator of 56/261 and -113/612?
17748
What is the smallest common multiple of 1424 and 224?
19936
What is the common denominator of -1 and -89/2930400?
2930400
What is the least common multiple of 4675 and 7225?
79475
Find the common denominator of -83/162 and -52/441.
7938
Calculate the smallest common multiple of 3528 and 396.
38808
Calculate the smallest common multiple of 272 and 147084.
588336
What is the common denominator of 119/7510 and 3/141188?
705940
What is the common denominator of -107/3114 and -73/306?
52938
Find the common denominator of -23/2069 and -61/135.
279315
Calculate the lowest common multiple of 229330 and 76.
458660
What is the least common multiple of 52152 and 24?
52152
Calculate the smallest common multiple of 11583 and 2249.
2003859
What is the lowest common multiple of 594 and 92070?
92070
Calculate the common denominator of 133/2040 and -91/436560.
436560
Calculate the smallest common multiple of 80 and 255.
4080
Find the common denominator of -133/5940 and 133/18.
5940
What is the smallest common multiple of 9592 and 654?
28776
What is the smallest common multiple of 792 and 627?
15048
Calculate the common denominator of -59/13409 and 27/1771.
93863
Calculate the common denominator of -41/6795 and -47/20385.
20385
Calculate the lowest common multiple of 51595 and 22780.
13827460
Calculate the common denominator of -43/45736 and 25/48.
274416
Find the common denominator of -23/4 and 69/7420.
7420
Calculate the least common multiple of 410 and 1164.
238620
Calculate the common denominator of 80/21 and 79/1617.
1617
What is the common denominator of -67/72074 and 50/396407?
792814
What is the lowest common multiple of 38912 and 109440?
1751040
Find the common denominator of 89/353912 and -7/52.
353912
Calculate the least common multiple of 58520 and 1848.
175560
What is the smallest common multiple of 31820 and 22?
350020
Find the common denominator of 39/2125 and -41/111775.
558875
What is the smallest common multiple of 10481 and 235?
52405
Find the common denominator of -81/362 and 131/5082.
919842
What is the lowest common multiple of 54516 and 2772?
163548
Calculate the common denominator of 97/30 and 11/520.
1560
What is the smallest common multiple of 582214 and 16?
4657712
Calculate the smallest common multiple of 5769 and 2564.
23076
Calculate the common denominator of -71/15264 and -77/63600.
381600
Calculate the smallest common multiple of 22 and 6.
66
What is the common denominator of 99/1088 and 55/1632?
3264
Calculate the least common multiple of 22 and 232.
2552
Calculate the common denominator of 7/72 and -81/9136.
82224
Calculate the smallest common multiple of 5376 and 48384.
48384
Calculate the lowest common multiple of 10392 and 2598.
10392
Calculate the common denominator of 101/8100 and 143/666.
299700
Calculate the lowest common multiple of 27795 and 510.
55590
What is the common denominator of 71/6095454 and 13/10?
30477270
What is the common denominator of -151/106092 and 31/7578?
106092
What is the common denominator of -149/11730 and 71/1104?
93840
Calculate the smallest common multiple of 10 and 891024.
4455120
Calculate the least common multiple of 16896 and 128.
16896
Calculate the least common multiple of 34740 and 80.
138960
What is the lowest | {
"pile_set_name": "DM Mathematics"
} |
iply 72 and -3.
-216
-11*-77
847
Calculate -0.3*-15.
4.5
0.05793 times 4
0.23172
-338 * 0.1
-33.8
-5*-61
305
-5057 times 1
-5057
Calculate 25*-113.
-2825
Calculate -13*517.
-6721
0.672*0.35
0.2352
What is 4 times 37?
148
0.052 * 19.4
1.0088
-0.5*26
-13
Calculate 4*87.
348
What is 0.2175 times -0.2?
-0.0435
Product of -4 and 0.048.
-0.192
-163 * -0.08
13.04
8 * -0.81
-6.48
2.9 times 659
1911.1
-2 * 112
-224
-0.02559*0.2
-0.005118
Work out 0.87 * 0.08.
0.0696
-2 * -98
196
Product of -181 and 5.
-905
6 times 10
60
What is -0.3 times -2.628?
0.7884
Product of -13 and -13.
169
Work out -0.071 * 3.
-0.213
Calculate -0.05*-0.2.
0.01
Multiply -6 and 35.
-210
-0.1 * 6.78
-0.678
What is the product of -226 and -25?
5650
-0.1*118
-11.8
Product of -9 and 94.
-846
Product of -304 and -0.2.
60.8
What is the product of 2 and -359?
-718
Calculate -1*116.
-116
Calculate 0.0834*6.
0.5004
-0.071 * -1
0.071
What is the product of -58.4 and 2?
-116.8
6936 times 0.5
3468
What is -2 times -460?
920
What is 0.04 times 0.071?
0.00284
Work out 2 * 95.
190
-4 * -4633
18532
Work out -0.5 * -0.67.
0.335
-0.4 * 388
-155.2
What is 0.16 times -547?
-87.52
Product of -0.9 and -0.4.
0.36
0.067 times -268
-17.956
0.3 * -142.7
-42.81
Work out -440 * -0.05.
22
16.09 times 3
48.27
Product of -0.4 and 63.
-25.2
-0.8*0.7
-0.56
3.2 times -1.4
-4.48
What is -853 times 3?
-2559
What is 0.07 times -0.253?
-0.01771
Calculate 0.1*330.
33
What is the product of 701 and 0.1?
70.1
Product of 0.5 and 339.
169.5
Product of -572 and 0.5.
-286
What is -0.6 times -105?
63
What is -0.3 times -2.9?
0.87
Multiply -0.3 and -25.
7.5
-0.02*-0.2514
0.005028
0.5 * 2668
1334
Multiply 13 and -3.
-39
Calculate -13.3*3.
-39.9
-1.3*1.58
-2.054
Work out 8 * 0.125.
1
-9445 * 5
-47225
-0.1 times 1493
-149.3
Calculate 0.07349*3.
0.22047
Multiply 0.3 and -144.
-43.2
What is the product of -46 and 3?
-138
-0.049*2
-0.098
0.153*0.1
0.0153
Product of -129 and 0.11.
-14.19
Product of 0.05 and -212.
-10.6
Multiply 0.2 and -483.
-96.6
What is 16 times -2.21?
-35.36
-791 * -0.4
316.4
Multiply 188 and -0.3.
-56.4
0.2*-0.227
-0.0454
Calculate -0.3*2.8.
-0.84
Product of -532 and 0.9.
-478.8
What is -78.3 times 0.07?
-5.481
Calculate 3*-45.
-135
-0.01 * 47
-0.47
What is the product of 3 and -260?
-780
-0.2 * -46
9.2
-61*-39
2379
Work out -450 * -1.
450
Multiply -1904 and 0.
0
What is the product of 2.6 and -2?
-5.2
-17.9 * 0
0
-15*-0.0576
0.864
Product of -816 and -0.5.
408
Work out -155.82 * 0.3.
-46.746
What is -0.392 times 6?
-2.352
Multiply 0.41 and 0.8.
0.328
-0.4*1.921
-0.7684
-26 times -24
624
What is the product of -0.02 and 0.7?
-0.014
Product of 10285 and 0.1.
1028.5
What is 3.1 times 0.4?
1.24
-0.72*0.1
-0.072
Calculate 8.4*-0.062.
-0.5208
Calculate -558*-6.
3348
Multiply -3 and -73.
219
Product of -189.94 and -0.4.
75.976
Multiply -2 and -0.17.
0.34
What is the product of -1.57 and -1?
1.57
-0.0962 * 1
-0.0962
1.41*-5
-7.05
0 * 243
0
0.1*169
16.9
What is the product of -3781 and -0.2?
756.2
0.0225 times -4
-0.09
Calculate 1721*4.
6884
0.2 * 85
17
What is the product of -4 and -1.56?
6.24
Multiply 374 and 4.
1496
Calculate 4*-257.
-1028
What is the product of -0.0333 and 4?
-0.1332
-2*44.3
-88.6
524 * -5
-2620
-0.01*-0.08
0.0008
Work out 1.7 * 0.96.
1.632
-98 times 6
-588
2162 times 4
8648
What is -0.0432 times 5?
-0.216
3 * -24.31
-72.93
Calculate 58523*5.
292615
What is -0.6 times -76?
45.6
Calculate -1*94.
-94
Calculate 4*6.51.
26.04
Work out -0.4 * -21.
8.4
Calculate 0.8*0.6.
0.48
0.1 * 85
8.5
Calculate -1598*-0.4.
639.2
Calculate 60*98.
5880
Work out 0.01307 * -0.5.
-0.006535
8 times 0.09
0.72
What is the product of 57 and -12?
-684
0.54 * -0.03
-0.0162
What is 8 times -13.2?
-105.6
0.081 times -0.4
-0.0324
0.36*-5
-1.8
Work out 30 * 2.
60
Calculate 0.4*0.79.
0.316
What is the product of 0 and -0.823?
0
What is -2 times 2.63?
-5.26
Work out 0.5 * -5133.
-2566.5
What is 3156 times 0.4?
1262.4
-13762 * 0.2
-2752.4
Calculate 0*-178.
0
Work out 1450 * 0.2.
290
Calculate 4*0.296.
1.184
Work out 22 * -21.8.
-479.6
-404 * 0.1
-40.4
-1.4*-352
492.8
Calculate 0.03346*0.3.
0.010038
Work out -0.07 * 1.
-0.07
What is -4 times 0.46?
-1.84
What is -84 times -46?
3864
Product of 4 and -540.
-2160
Calculate 2055*2.
4110
0.42*-197
-82.74
What is the product of 3 and -27.12?
-81.36
-737 times -5
3685
Calculate 1.0111*-1.
-1.0111
20*2.73
54.6
What is the product of 1 and 35?
35
-0.59 times 5
-2.95
2984 times 5
14920
0.1 * 393
39.3
-4*-45
180
Multiply -0.022 and 55.
-1.21
What is the product of -614 and -0.5?
307
Product of -10.7 and 2.
-21.4
What is -2 times 1918?
-3836
Work out 5149 * -0.3.
-1544.7
-0.1 times 973
-97.3
Calculate 0.4*-0.0586.
-0.02344
3 * 0.071
0.213
-617 * -4
2468
4*3157
12628
Work out -40 * 0.08.
-3.2
What is the product of 0.5 and 688?
344
132 * -0.06
-7.92
-0.3*-1.32
0.396
Product of 0.47 and -4.
-1.88
Multiply 15920 and 0.1.
1592
-68.94 times -4
275.76
4.3 times 1
4.3
-216 times 0.03
-6.48
Calculate -22.23*0.1.
-2.223
Calculate -199*4.
-796
Work out 763 * 2.
1526
0.0009 * -1
-0.0009
Calculate 399*-0.4.
-159.6
Product of 6720 and 3.
20160
5*-169
-845
-1 * 3.1
-3.1
Multiply -1132 and -8.
9056
2*-68
-136
Work out 0.1 * 294.
29.4
-118 * -3
354
-4.2 times 0.5
-2.1
Work out 0.0384 * -0.8.
-0.03072
Product of 5 and -8.6.
-43
What is -18 times 0.047?
-0.846
Calculate 25*0.033.
0.825
What is 0.1841 times 4?
0.7364
Multiply 0.63 and -0.2.
-0.126
-0.1483 times -0.2
0.02966
Product of -3.9 and 6.
-23.4
Product of 0.0121 and -0.04.
-0.000484
What is the product of -0.2 and -3.42?
0.684
Calculate 143*0.2.
28.6
-49 times 0.3
-14.7
0.9 times -2.16
-1.944
Work out -3516 * 0.5.
-1758
What is the product of 0.2 and 0.0771?
0.01542
Work out -6.6 * 109.
-719.4
Product of 82 and -0.1.
-8.2
0.4*-7133
-2853.2
-15 times 462
-6930
What is 10.2 times 0.3?
3.06
Product of -112 and -0.3.
33.6
Product of -3 and -8.
24
Calculate 4564*-4.
-18256
Product of -0.085 and 45.
-3.825
What is the product of 2 and 6.9?
13.8
Multiply 0.2 and -0.42.
-0.084
Work out -1 * 74.
-74
Multiply -10.2 and -0.1.
1.02
-412 times 20
-8240
Multiply -0.3 and 105.
-31.5
Calculate 0.05*131.
6.55
What is -9 times 44?
-396
Product of -46 and 0.22.
-10.12
Multiply -0.039 and -2.6.
0.1014
Product of 49.6 and 4.4.
218.24
-48.6*1
-48.6
Work out -8.1 * 1.8.
-14.58
Multiply 1364 and 0.1.
136.4
18 times -21
-378
Calculate -14*-0.07.
0.98
211 times 4
844
Calculate -0.5*28.
-14
Calculate -4*-16.
64
What is the product of 1.12 and 65?
72.8
-195.1 * -0.3
58.53
What is the product of 3341 and 0.2?
668.2
Work out 5.98 * 4.
23.92
Calculate 1.96*31.
60.76
Product of 0.194 and 0.5.
0.097
1*-0.24
-0.24
-0.25 times -0.53
0.1325
-37*6
-222
Work out 0.5 * 0.4.
0.2
What is -0.0417 times 1.9?
-0.07923
Product of 0.03 and -0.04.
-0.0012
Product of 24.1 and -0.5.
-12.05
Calculate 2.3*-12.
-27.6
Product of 0.0079 and -5.
-0.0395
What is 83.6 times -5?
-418
-0.056*4
-0.224
0.3 times 6.253
1.8759
Multiply 8.5 and -2.9.
-24.65
What is the product of 16.2 and -4.2?
-68.04
What is the product of -13.1 and 3?
-39.3
What is -3 times 4.5?
-13.5
5 times -47
-235
2 * 0.06
0.12
Product of -78 and 19.
-1482
Product of 0.12 and -24.
-2.88
Product of -11.45 and 0.4.
-4.58
Product of -19 and 0.212.
-4.028
Product of -0.3 and 0.0434.
-0.01302
Multiply -68 and -0.4.
27.2
5 * 16.8
84
-0.097 times -2
0.194
Work out -88.1 * 2.
-176.2
Work out -0.79 * -22.
17.38
Product of 1084 and -0.5.
-542
What is -1 times 1.37?
-1.37
What is the product of 1 and -28?
-28
What is -3.58 times -1?
3.58
-38 times 38
-1444
-11.79 * -19
224.01
Multiply 52 and -2.7.
-140.4
Calculate -0.4*1574.
-629.6
Product of -28988 and 0.3.
-8696.4
What is the product of 31 and -22?
-682
Calculate 2*51.
102
0.38*-39.3
-14.934
Product of 1 and 0.38.
0.38
What is the product of 371 and -0.01?
-3.71
Work out -33 * -0.1.
3.3
Calculate 0.3*2179.
653.7
Multiply -3135 and -4.
12540
Multiply -0.8 and 0.447.
-0.3576
Calculate 536.4*0.3.
160.92
Product of 4863 and 1.
4863
0.23 * -0.2
-0.046
Work out 2.6 * 0.0753.
0.19578
-4678*-2
9356
Multiply -0.06 and -3.6.
0.216
What is 0.3 times 9?
2.7
12895*-0.4
-5158
-18 * -2
36
-98 times -2
196
Calculate -12*-2446.
29352
What is 194 times 7?
1358
12 times 29
348
What is 9 times 0.02?
0.18
6*0.421
2.526
6*852 | {
"pile_set_name": "DM Mathematics"
} |
the smallest common multiple of u and 6.
6
Let p = 2/18233 - 948170/492291. Find the common denominator of 137/24 and p.
216
Let g(p) = p**3 - 11*p**2 + 9*p + 14. Suppose -i - i + 20 = 0. Calculate the smallest common multiple of 4 and g(i).
4
Let o(f) = f**3 + 16*f**2 - f - 5. Let x = 0 + -1. Calculate the least common multiple of 2/((x/(-2))/1) and o(-16).
44
Let z(r) = 3*r**2 + 11*r - 2. Let q be z(8). Let p = q + -2771/10. Calculate the common denominator of p and -67/12.
60
Let q = 3 + 2. Suppose -4 = w - q. What is the least common multiple of 6 and (-2 + 4 + -1)*w?
6
Let z be (14/(-63))/((-1)/(-2435)). Let t = z + 540. Let y = 6/5 - 69/20. What is the common denominator of t and y?
36
Suppose -5*b = -28 - 32. Suppose -v + 4*v - b = 0. Suppose 2*a - 34 = -5*c, c - 4*c + 5*a = -39. Calculate the lowest common multiple of v and c.
8
Let p = -5 + 7. Let k be (3/(-6))/(2/(-4)). What is the common denominator of p/k - (-15)/(-2) and -23/2?
2
Let l = -23 + 32. What is the smallest common multiple of l and 4 + 5/((-10)/(-4))?
18
Let t = 25561/6 + -4277. Find the common denominator of t and ((-1)/4)/((-2)/(-348)).
6
Let n(f) = -f - 1. Let k be n(0). Let g(u) = 11*u**2. Calculate the least common multiple of 1 and g(k).
11
Suppose 7*b - 51 = -2*d + 2*b, 4*b = 12. Suppose v = 43 - d. Let o = 35 - v. What is the lowest common multiple of o and 8?
40
Let y be ((-1)/(-8))/(2/109). Let u = -9/16 + y. Calculate the common denominator of u and ((-4)/50 + 0)*-95.
20
Suppose m + 5*y = 0, 2*m + 2*y + 2*y - 24 = 0. Suppose -p - 14 = -2*p. What is the smallest common multiple of m and p?
140
Let y be (9/(-6))/(2/(-4)). Calculate the common denominator of (5 - y) + (-31)/8 and 40/7.
56
Let g = 1277663/45 - 28391. Calculate the common denominator of -101/10 and g.
90
Suppose -2*b + 4*b = -22642. Let l = b + 113331/10. Calculate the common denominator of l and -44.
10
Suppose 4*v + 11 - 31 = 0. What is the least common multiple of v and 1 - -1*(1 - -2)?
20
What is the common denominator of -25/6 and (-64)/6*(-5)/(5 + 25)?
18
Let c = -4 - 7. Let m = -3 - c. Let s = 33 - 15. Calculate the least common multiple of m and s.
72
Let i = -20/1927 + 837991/346860. Let k = 1/180 - i. Calculate the common denominator of k and -127/6.
30
Let f = -124/57 + -3/19. Find the common denominator of ((-3)/9)/(3/219) and f.
3
What is the lowest common multiple of 1/(-2)*(-9 + 5) and ((-1)/(-1))/(1 + 0)?
2
Find the common denominator of -87/2 and 4/6 + (-604)/24.
2
Let k = -835/98 - -22/49. What is the common denominator of 53/48 and k?
336
Suppose 0 = -w - w + 16. Let s be (-4422)/w - (-7)/(-28). Let j = s + 5014/9. What is the common denominator of j and -14/11?
99
Calculate the common denominator of -37/6 and ((-10)/(-15))/(40/114).
30
Suppose -4*i - 22 = -2*a - i, -5*a + 29 = -i. Suppose r - 20 = -2*d - r, 2*r = -a*d + 50. What is the smallest common multiple of 16 and d?
80
Let s = -3312 - -1705681/515. Let a = -2327/412 - s. Calculate the common denominator of a and -3 - (18/(-20) - 0).
20
Let w(y) = -5*y - 1. Suppose 47 = 2*l + 2*l - 3*g, 0 = 4*l + 2*g - 42. Calculate the least common multiple of w(-1) and l.
44
Calculate the common denominator of (-248)/(-36) + 3*-1 and 4/(-14) + 608/70.
45
Let p = -355910/27 + 13180. Calculate the common denominator of -83/6 and p.
54
Let n(f) = -2*f - 10. Let d(t) = -t**3 + 6*t**2 + 5*t + 4. Let a be d(7). Suppose 0 = 2*v - 0*v - 4. Calculate the lowest common multiple of v and n(a).
10
Calculate the least common multiple of 20 + (-5 - -2) + 1 and 18.
18
Suppose -g = 2*g + 2*n - 30, -4*g + 60 = -4*n. Calculate the smallest common multiple of 1 and g.
12
Let r be -6*1/(6/9). Let p = r - -12. Calculate the smallest common multiple of 1 and p.
3
Let f(r) = r**3 - 6*r**2 + r + 4. Suppose -g + 8 = 2. Calculate the smallest common multiple of 6 and f(g).
30
Let w = 13 + -10. What is the smallest common multiple of 2 and w?
6
Suppose 2*c + c = 0. Let r be (-1 - c)*(-2)/(-346). Let q = 153/3460 - r. Calculate the common denominator of 47/6 and q.
60
Calculate the lowest common multiple of (2 + (1 - -1))/(-5 + 7) and 4.
4
Let y = -1243583/48 + 25909. Calculate the common denominator of y and -71/12.
48
Let t(s) = -s - 6. Let v be t(-9). Suppose -v*c = -0*c - 6. What is the smallest common multiple of 22 and c?
22
Let j = -5372657260 + 31301101279367/5826. Let l = j - 12/971. Let x = 4/3211 + 176581/19266. Find the common denominator of x and l.
6
Let p = -36/7 - -713/140. Let m = -1416 + -465. Let s = m + 37687/20. Calculate the common denominator of p and s.
20
Suppose -t - t + 24 = 0. Let q be (t/(-14))/(7/49). What is the least common multiple of 2/q - 26/(-6) and 20?
20
Suppose -4*t + 23 - 5 = 3*a, -2*t + 8 = a. Suppose a*y = -y - 18. Find the common denominator of 1/(0 - y/(-77)) and 49/18.
18
What is the common denominator of 79/6 and (972/(-141))/2 - -3?
282
Let f be ((-33771445)/42 - 0) + -1. Let u = f + 804045. Let k = u - -209/7. Find the common denominator of k and 53/18.
18
Suppose 2*n + 37 = 3*p - 0*n, 0 = 3*p - 4*n - 47. Suppose -w + 6 = -0*w. Calculate the smallest common multiple of p and w.
18
Let h = -141 - -223. Find the common denominator of (-6)/(-20)*375/6 and (-10)/15 - h/(-8).
12
Find the common denominator of (1 - -3) + 1247/258 and -1 + 2/(120/302).
30
Suppose -2*f + 24 = 4. Calculate the smallest common multiple of (0 - 1) + 1*8 and f.
70
Suppose 5*m = 9*m - 4. What is the lowest common multiple of m and 27?
27
Let c = 249120253625/2334 + -106735305. Let g = c - 3/389. Find the common denominator of g and 55/24.
24
Let f = -187829/91992 - -1/7666. Find the common denominator of -76/9 and f.
72
Suppose -2*b - 40 = -6*b. What is the smallest common multiple of -3*((-22)/(-3))/(-2) and b?
110
Let m be (1*-1)/((-1)/2). Suppose 3*c + 0*c = 0. Suppose -t - 2*v = -c*t - m, -2*t = -5*v - 31. Calculate the lowest common multiple of 12 and t.
24
Suppose 0 = -3*o - 24826 - 20297. Let g be 1623381/108 + (-2)/9. Let j = o + g. Calculate the common denominator of -71/18 and j.
36
Suppose -5*v = 2*g + 13, -v + 2*g - 5*g = 0. Let b(a) = -a**2 - 2*a + 5. What is the lowest common multiple of 10 and b(v)?
10
Let t(s) = -13*s**3 - s**2 - s. Let c be t(2). What is the common denominator of (81/60)/((-12)/c) and 16/3?
24
Calculate the common denominator of 37/(-8)*-1*1 and 69/14 + -3 + 1.
56
Let o(q) = -q + 12. Calculate the lowest common multiple of 14 and o(10).
14
What is the common denominator of 25/11 and (-2)/((-32)/364) - -1?
44
Let r = -2221/420 + 4/105. Calculate the common denominator of 5/10 - (-55)/(-8) and r.
8
Let s be (-7542051)/502 + -2 + -1. Let k = s - -15027. Let q = -8156/251 + k. Calculate the common denominator of q and 17/20.
20
Let t be 84 + 1 + -2 - 3. Suppose 4*v = -v + t. Calculate the lowest common multiple of v and 8.
16
Let b be 56/6*1*-3. Find the common denominator of (-1254)/b + (-2)/7 and 109/6.
6
Find the common denominator of (-5325)/(-30)*(-2)/10 and -95/2.
2
Let v be 508/16 - (-3)/(-4). Suppose -5*q + v + 4 = 0. Suppose 8 = -g - q. Calculate the common denominator of g and -41/6.
6
Suppose 2*g - 7*g - 31 = -2*s, -5*s = 2*g - 92. Suppose 0*i + 3*i = s. What is the lowest common multiple of i and 8?
24
Let o = 79 + -59. Calculate the smallest common multiple of o and 4.
20
Let i(q) = -2*q - 32. Let a(t) = t + 13. Let p(k) = 12*a(k) + 5*i(k). What is the lowest common multiple of 20 and p(4)?
20
Let s = -21 + 41. Calculate the least common multiple of 16 and s.
80
Let l = -7433/27278 + -6/593. Calculate the common denominator of l and 63/4.
92
Suppose 2*f = 5*f + 5*s + 1086, 5*f + 1810 = s. Let i be 2 + (-186)/20440*f. Let v = i + 3/511. Find the common denominator of v and 32/5.
10
Let q(t) = t**3 - 14*t**2 - t + 20. What is the least common multiple of 12 and q(14)?
12
Let f(b) = b**3 - 4*b**2 + 4*b - 2. Suppose 0 = l + 2*c + 14, -3*l + l - 30 = 5*c. Let j = 14 + l. What is the least common multiple of f(j) and 4?
28
Let j be 454/(-10) + (-2)/(-5). Let m be 6/(-524)*1/j. Let i = m - -198463/7860. What is the common denominator of -101/20 and i?
20
Let w be ((-576)/60)/((-2)/(-35)). Find the common denominator of (-18)/w*(-50)/(-3) and -59/8.
56
Let f = 42 - 18. Calculate the smallest common multiple | {
"pile_set_name": "DM Mathematics"
} |
-42, -65?
-23*h + 4
What is the l'th term of 38, 65, 70, 41, -34?
-2*l**3 + l**2 + 38*l + 1
What is the n'th term of -33, -30, -11, 36, 123?
2*n**3 - 4*n**2 + n - 32
What is the m'th term of -30, -33, -36?
-3*m - 27
What is the l'th term of -6, -12, -22, -36, -54, -76?
-2*l**2 - 4
What is the c'th term of -17, -29, -41?
-12*c - 5
What is the f'th term of 1391, 2780, 4169?
1389*f + 2
What is the d'th term of 595, 1187, 1791, 2413, 3059, 3735, 4447?
d**3 + 585*d + 9
What is the i'th term of 1326, 1327, 1352, 1413, 1522, 1691?
2*i**3 - 13*i + 1337
What is the o'th term of -63, -52, -31, 6, 65, 152, 273?
o**3 - o**2 + 7*o - 70
What is the s'th term of -513, -542, -573, -606, -641?
-s**2 - 26*s - 486
What is the d'th term of -11094, -22186, -33278, -44370, -55462, -66554?
-11092*d - 2
What is the q'th term of 206, 821, 1848, 3287, 5138, 7401?
206*q**2 - 3*q + 3
What is the z'th term of 19, -58, -267, -674, -1345, -2346?
-11*z**3 + 30
What is the l'th term of 2, -53, -152, -301, -506, -773, -1108?
-l**3 - 16*l**2 + 19
What is the s'th term of -13, -11, -17, -37, -77, -143?
-s**3 + 2*s**2 + 3*s - 17
What is the m'th term of -275, -274, -273, -272, -271, -270?
m - 276
What is the d'th term of 370, 717, 1064?
347*d + 23
What is the q'th term of -18, -6, 24, 78, 162, 282, 444?
q**3 + 3*q**2 - 4*q - 18
What is the n'th term of -1051, -1034, -1005, -958, -887, -786, -649, -470?
n**3 + 10*n - 1062
What is the i'th term of -147, -574, -1285, -2280, -3559, -5122, -6969?
-142*i**2 - i - 4
What is the j'th term of 0, -7, -18, -33?
-2*j**2 - j + 3
What is the g'th term of 6, -2, -8, -12, -14, -14, -12?
g**2 - 11*g + 16
What is the i'th term of -226, -204, -182, -160, -138?
22*i - 248
What is the q'th term of -39, -15, 7, 27?
-q**2 + 27*q - 65
What is the m'th term of -3, 1, 9, 21, 37, 57?
2*m**2 - 2*m - 3
What is the z'th term of -99, -119, -141, -165, -191, -219?
-z**2 - 17*z - 81
What is the m'th term of 45, 77, 123, 189, 281, 405, 567, 773?
m**3 + m**2 + 22*m + 21
What is the u'th term of 17, 38, 61, 86?
u**2 + 18*u - 2
What is the j'th term of 57, -43, -313, -837, -1699, -2983?
-14*j**3 - j**2 + j + 71
What is the n'th term of 3586, 7167, 10748, 14329, 17910, 21491?
3581*n + 5
What is the l'th term of -111, -224, -337, -450, -563?
-113*l + 2
What is the c'th term of 10, 18, 30, 46, 66, 90?
2*c**2 + 2*c + 6
What is the a'th term of -62, -114, -164, -212, -258?
a**2 - 55*a - 8
What is the x'th term of -1234, -2468, -3702, -4936, -6170?
-1234*x
What is the y'th term of 363, 374, 391, 414, 443?
3*y**2 + 2*y + 358
What is the q'th term of 356, 364, 372, 380?
8*q + 348
What is the j'th term of -35, -93, -145, -185, -207, -205, -173?
j**3 - 3*j**2 - 56*j + 23
What is the n'th term of 62, 77, 108, 161, 242?
n**3 + 2*n**2 + 2*n + 57
What is the j'th term of -4828, -4825, -4822, -4819, -4816?
3*j - 4831
What is the r'th term of 16, 23, 30, 37, 44, 51?
7*r + 9
What is the j'th term of 22, 11, -22, -89, -202, -373?
-2*j**3 + j**2 + 23
What is the b'th term of -3, -13, -23, -33, -43?
-10*b + 7
What is the c'th term of 1, -7, -27, -59, -103?
-6*c**2 + 10*c - 3
What is the i'th term of -111, -90, -43, 42, 177, 374, 645?
2*i**3 + i**2 + 4*i - 118
What is the g'th term of -972, -955, -938, -921?
17*g - 989
What is the s'th term of -62, -63, -64, -65, -66?
-s - 61
What is the x'th term of -4, 17, 44, 71, 92, 101, 92?
-x**3 + 9*x**2 + x - 13
What is the l'th term of 5413, 10826, 16239, 21652, 27065?
5413*l
What is the w'th term of 342, 341, 340, 339?
-w + 343
What is the j'th term of -121, -140, -187, -274, -413?
-2*j**3 - 2*j**2 + j - 118
What is the z'th term of 34, 55, 78, 103, 130, 159, 190?
z**2 + 18*z + 15
What is the h'th term of -23, -69, -197, -449, -867, -1493?
-7*h**3 + h**2 - 17
What is the h'th term of -2572, -5144, -7716, -10288, -12860?
-2572*h
What is the m'th term of -64, -14, 130, 416, 892?
8*m**3 - m**2 - 3*m - 68
What is the y'th term of -10934, -10933, -10932, -10931, -10930?
y - 10935
What is the p'th term of 39, 45, 51, 57?
6*p + 33
What is the m'th term of -1429, -1432, -1435, -1438, -1441?
-3*m - 1426
What is the m'th term of 461, 902, 1359, 1838, 2345, 2886, 3467?
m**3 + 2*m**2 + 428*m + 30
What is the g'th term of 77, 64, 27, -46, -167, -348, -601?
-2*g**3 + g + 78
What is the s'th term of 505, 1002, 1499?
497*s + 8
What is the q'th term of -58, -122, -210, -334, -506, -738, -1042, -1430?
-2*q**3 - 50*q - 6
What is the f'th term of -2, 8, 18, 28, 38?
10*f - 12
What is the v'th term of 30, 58, 84, 108, 130?
-v**2 + 31*v
What is the n'th term of 614, 620, 626?
6*n + 608
What is the w'th term of 20, 77, 134?
57*w - 37
What is the v'th term of 14, 48, 94, 158, 246, 364, 518?
v**3 + 27*v - 14
What is the b'th term of 3921, 3918, 3905, 3876, 3825, 3746?
-b**3 + b**2 + b + 3920
What is the t'th term of 2120, 4238, 6356, 8474, 10592, 12710?
2118*t + 2
What is the f'th term of -3854, -3856, -3858, -3860, -3862, -3864?
-2*f - 3852
What is the m'th term of 23, 22, 5, -34, -101, -202, -343?
-m**3 - 2*m**2 + 12*m + 14
What is the f'th term of 223, 209, 195, 181, 167, 153?
-14*f + 237
What is the j'th term of -1, -21, -29, -19, 15, 79, 179, 321?
j**3 - 27*j + 25
What is the m'th term of -816, -810, -792, -756, -696, -606, -480, -312?
m**3 - m - 816
What is the d'th term of 11, 45, 101, 179, 279, 401?
11*d**2 + d - 1
What is the g'th term of 665, 1325, 1985, 2645, 3305, 3965?
660*g + 5
What is the i'th term of 428, 858, 1288, 1718, 2148?
430*i - 2
What is the k'th term of 150, 148, 146, 144?
-2*k + 152
What is the u'th term of -303, -304, -305?
-u - 302
What is the i'th term of -138, -276, -414, -552, -690?
-138*i
What is the h'th term of -128, -253, -378, -503, -628?
-125*h - 3
What is the y'th term of 67, 253, 561, 991, 1543?
61*y**2 + 3*y + 3
What is the j'th term of 34, 76, 130, 202, 298, 424?
j**3 + 35*j - 2
What is the f'th term of 498, 968, 1436, 1902?
-f**2 + 473*f + 26
What is the w'th term of 32, 152, 354, 638, 1004?
41*w**2 - 3*w - 6
What is the t'th term of -798, -1630, -2462, -3294, -4126, -4958?
-832*t + 34
What is the u'th term of 1, -3, -11, -23?
-2*u**2 + 2*u + 1
What is the n'th term of 51, 64, 77, 90, 103, 116?
13*n + 38
What is the g'th term of 26, 38, 26, -22, -118, -274, -502, -814?
-2*g**3 + 26*g + 2
What is the s'th term of -51, -191, -423, -747, -1163, -1671?
-46*s**2 - 2*s - 3
What is the g'th term of 400, 1589, 3586, 6403, 10052?
2*g**3 + 392*g**2 - g + 7
What is the k'th term of 2222, 4446, 6670, 8894, 11118?
2224*k - 2
What is the y'th term of -5546, -5545, -5544, -5543, -5542, -5541?
y - 5547
What is the h'th term of -2, 76, 224, 478, 874?
6*h**3 - h**2 + 39*h - 46
What is the w'th term of 334, 354, 418, 550, 774?
4*w**3 - 2*w**2 - 2*w + 334
What is the i'th term of 14, 5, 10, 35, 86, 169, 290?
i**3 + i**2 - 19*i + 31
What is the a'th term of -4, -21, -38, -55?
-17*a + 13
What is the r'th term of -68, -71, -74, -77?
-3*r - 65
What is the x'th term of -171, -351, -531, -711, -891?
-180*x + 9
What is the r'th term of 119, 130, 137, 140, 139?
-2*r**2 + 17*r + 104
What is the x'th term of 417, 418, 419, 420?
x + 416
What is the d'th term of -703, -1396, -2089?
-693*d - 10
What is the y'th term of 43, 51, 53, 43, 15?
-y**3 + 3*y**2 + 6*y + 35
What is the v'th term of -80, -70, -56, -38, -16, 10?
2*v**2 + 4*v - 86
What is the c'th term of 407, 1620, 3641, 6470?
404*c**2 + c + 2
What is the b'th term of 78, 79, 82, 87, 94?
b**2 - 2*b + 79
What is the b'th term of -173, -341, -507, -671?
b**2 - 171*b - 3
What is the m'th term of -195, -191, -173, -135, -71, 25, 159, 337?
m**3 + m**2 - 6*m - 191
What is the g'th term of 299, 586, 857, 1106, 1327, 1514?
-g**3 - 2*g**2 + 300*g + 2
What is the y'th term of -52, 20, 140, 308, 524?
24*y**2 - 76
What is the i'th term of 48, 44, 38, 30, 20?
-i**2 - i + 50
What is the c'th term of 50, 101, 152?
51*c - 1
What is the v'th term of -311, -330, -365, -422, -507, -626?
-v**3 - 2*v**2 - 6*v - 302
What is the n'th term of 767, 761, 745, 713, 659, 577?
-n**3 + n**2 - 2*n + 769
What is the r'th term of 25, 29, 33?
4*r + 21
What is the o'th term of -762, -1521, -2276, -3027, -3774, -4517?
2*o**2 - 765*o + 1
What is the y'th term of -31, -99, -211, -367, -567?
-22*y**2 - 2*y - 7
What is the c'th term of 1, | {
"pile_set_name": "DM Mathematics"
} |
d 676.
13
What is the highest common factor of 449879 and 2?
1
Calculate the highest common factor of 2264 and 27192904.
2264
Calculate the greatest common divisor of 45865220 and 920.
460
What is the highest common divisor of 1176 and 55284887?
49
Calculate the greatest common divisor of 224 and 107525152.
224
Calculate the highest common divisor of 4799015 and 643370.
6565
What is the highest common factor of 2748390 and 3060?
510
Calculate the highest common divisor of 830708 and 2716.
388
Calculate the greatest common factor of 3623981 and 476417.
5353
Calculate the highest common factor of 1630533 and 657119.
1291
What is the greatest common factor of 92717 and 35?
1
Calculate the highest common divisor of 4548714 and 228.
114
What is the greatest common divisor of 29821 and 537233448?
2711
What is the highest common factor of 25652863 and 353?
353
What is the greatest common divisor of 4312 and 501336?
88
What is the highest common factor of 339261270 and 1011?
1011
Calculate the greatest common factor of 152 and 412243.
19
Calculate the highest common factor of 356966 and 170.
34
What is the greatest common factor of 229514 and 10?
2
What is the highest common factor of 4141 and 44401418?
101
Calculate the highest common divisor of 35379256 and 176.
88
What is the greatest common factor of 2282570 and 1150?
10
What is the highest common factor of 2946728 and 10784?
2696
What is the greatest common factor of 18755 and 416485?
155
What is the greatest common divisor of 418 and 56072401?
209
Calculate the greatest common divisor of 1372297 and 208803.
163
What is the highest common divisor of 826828 and 68773?
97
Calculate the highest common divisor of 8610250 and 6868.
202
Calculate the greatest common factor of 5997477 and 4371.
93
Calculate the highest common divisor of 4 and 362339948.
4
What is the highest common factor of 14230682 and 685580?
9794
Calculate the greatest common divisor of 1474168 and 8.
8
What is the highest common factor of 345783 and 18?
3
What is the highest common factor of 20184 and 86955195?
2523
What is the greatest common divisor of 192 and 40159232?
64
Calculate the greatest common divisor of 1159 and 8491444.
61
Calculate the highest common factor of 38038 and 933166.
494
What is the highest common divisor of 28005 and 498?
3
Calculate the highest common factor of 66 and 4215002.
22
Calculate the greatest common factor of 2720310 and 110.
10
What is the highest common divisor of 52107267 and 9?
3
What is the highest common divisor of 1110177 and 1236?
3
What is the greatest common divisor of 1078 and 684922?
98
What is the highest common divisor of 76 and 30328294?
38
What is the greatest common divisor of 46757006 and 1448?
362
Calculate the highest common factor of 6222 and 453084.
102
What is the highest common divisor of 642 and 3983824?
214
What is the highest common factor of 776 and 478896?
8
What is the greatest common divisor of 477 and 823248364?
53
What is the highest common divisor of 2946 and 177748874?
982
Calculate the highest common factor of 606 and 4377180.
6
What is the highest common factor of 4334274 and 100044?
126
What is the greatest common divisor of 38485902 and 735?
21
Calculate the highest common factor of 1049789550 and 954.
318
What is the highest common factor of 82739 and 363455?
157
What is the greatest common divisor of 436464949 and 59?
59
What is the greatest common factor of 101190922 and 98?
14
Calculate the highest common factor of 54910 and 1276515.
95
What is the highest common divisor of 307454 and 98?
14
Calculate the greatest common divisor of 4800 and 10775400.
600
What is the highest common divisor of 43640295 and 120?
15
Calculate the greatest common divisor of 2921 and 1691005.
127
What is the greatest common factor of 5030896 and 4?
4
What is the greatest common factor of 10099593 and 567?
189
What is the greatest common divisor of 31469 and 125?
1
What is the greatest common factor of 67592055 and 345?
345
Calculate the greatest common factor of 627 and 2486264.
209
Calculate the greatest common divisor of 59146150 and 1735.
1735
What is the highest common divisor of 107043 and 13708410?
3453
What is the greatest common factor of 1850 and 8913490?
10
Calculate the greatest common divisor of 11332640 and 16115.
55
Calculate the highest common factor of 1134 and 15214122.
378
What is the greatest common factor of 4462 and 48737068?
194
Calculate the highest common factor of 2588 and 2357546364.
2588
What is the highest common factor of 7537610 and 148780?
1730
Calculate the highest common divisor of 64621617 and 1353.
123
Calculate the highest common factor of 1601125 and 375.
125
Calculate the greatest common factor of 35052 and 2166366.
762
Calculate the highest common factor of 783 and 29696.
29
Calculate the highest common factor of 7 and 457699991.
7
Calculate the highest common factor of 174552370 and 110.
10
Calculate the highest common factor of 5421 and 2687704.
139
Calculate the highest common factor of 5541550 and 2982.
994
What is the greatest common divisor of 20120840 and 920?
40
Calculate the greatest common factor of 3664 and 464672.
16
Calculate the highest common divisor of 11653 and 3948199.
271
Calculate the greatest common divisor of 4452 and 9294292.
1484
Calculate the greatest common divisor of 23797 and 118084.
53
What is the highest common divisor of 45552381 and 21?
21
What is the greatest common factor of 554829 and 7871?
17
Calculate the highest common factor of 96 and 20668032.
96
What is the highest common factor of 55 and 203517?
1
Calculate the greatest common factor of 289056 and 94368.
96
Calculate the greatest common factor of 685122 and 624821.
1283
What is the highest common divisor of 6123 and 410055269?
2041
What is the highest common divisor of 615625462 and 74?
74
Calculate the greatest common divisor of 12 and 157559252.
4
Calculate the greatest common divisor of 22067496 and 459.
153
Calculate the greatest common divisor of 44 and 30222423.
11
What is the greatest common factor of 111885026 and 1298?
22
What is the greatest common factor of 15 and 60983265?
15
Calculate the greatest common divisor of 172931 and 1392138.
869
Calculate the highest common factor of 768588 and 608.
76
Calculate the highest common factor of 1990180 and 1120.
20
Calculate the highest common factor of 664 and 30785032.
664
Calculate the greatest common factor of 2040 and 25254520.
680
What is the highest common factor of 52 and 68085524?
52
What is the greatest common divisor of 140694 and 7467?
393
What is the highest common factor of 10270 and 55490864?
2054
What is the highest common divisor of 16 and 3559638?
2
Calculate the highest common divisor of 20301604 and 2516.
2516
What is the greatest common factor of 90 and 84414636?
18
Calculate the highest common factor of 2890 and 8550.
10
Calculate the highest common divisor of 155 and 46311045.
5
What is the highest common divisor of 4254889 and 74?
37
What is the highest common factor of 24466323 and 5628?
1407
Calculate the greatest common factor of 56327 and 372899.
713
Calculate the greatest common factor of 3599019 and 68.
17
Calculate the highest common factor of 39 and 8020272.
39
Calculate the greatest common factor of 1002046 and 3.
1
Calculate the highest common divisor of 32209 and 4819921.
1039
What is the highest common divisor of 34408 and 719624?
184
Calculate the highest common factor of 14729490 and 54.
18
Calculate the highest common factor of 7075651 and 46.
23
Calculate the highest common divisor of 1856710943 and 118.
59
What is the highest common factor of 2000 and 56296720?
80
What is the greatest common divisor of 353 and 327961357?
353
Calculate the highest common divisor of 75464580 and 2280.
1140
What is the greatest common factor of 1430 and 3142100?
130
What is the greatest common factor of 145403 and 1932211?
1499
Calculate the greatest common divisor of 3276 and 437325525.
819
What is the greatest common divisor of 370300 and 10220?
140
Calculate the highest common factor of 2403000 and 29125.
125
Calculate the highest common divisor of 45750 and 32757.
183
Calculate the greatest common factor of 55080 and 162.
162
What is the greatest common divisor of | {
"pile_set_name": "DM Mathematics"
} |
2 - 258*k + 2 - 1380*k**2 to b*k**2 + m*k + d and give b.
-3
Express 4 - 20100*t - 4 + 7815*t in the form x + z*t and give z.
-12285
Express -372221*a**4 + 372217*a**4 - 12*a - 19*a**3 + a**2 - 29*a**3 in the form n*a**2 + p*a**3 + o + w*a**4 + c*a and give w.
-4
Rearrange (2*f - 3*f - 14*f)*(-5 + 4 + 2)*(-f + 2*f - 3*f) - 2*f**2 - 4*f**2 + 3*f**2 to b + y*f + t*f**2 and give t.
27
Express -944*b + 729*b + 489*b - 1 in the form x*b + t and give t.
-1
Rearrange -2*q**3 + 417*q**2 + 4*q**2 + 1 + 74*q**2 to y*q + g + a*q**2 + i*q**3 and give a.
495
Express (-44 - 2*v - 79 + 17)*(-452 + 96*v + 452) in the form r + d*v**2 + p*v and give d.
-192
Rearrange (10609818 - 12*z**3 - 10609818 - 1022*z)*(-4 - 2*z + 4) to the form w + q*z + p*z**2 + i*z**3 + d*z**4 and give p.
2044
Rearrange 13*p + 55*p**2 + 123*p**2 - 11*p + 617*p**2 + 382*p**2 to a + g*p + j*p**2 and give g.
2
Rearrange 0*u**3 - 26*u + 65*u - 425*u - 2 + 1 + u**3 - u**2 to the form f*u**2 + i + q*u**3 + k*u and give f.
-1
Express -17514 + 17514 - 1003*p as v + g*p and give g.
-1003
Express -28*m**3 + 89*m**3 + 2*m**2 - 155*m**3 + 12*m + 0*m**2 as b*m**2 + s*m + l + c*m**3 and give l.
0
Express 626*f - 308*f - 1483*f**2 - 3 - 318*f in the form o*f**2 + c*f + n and give o.
-1483
Express -34*w**3 + 67*w + 2 + 21*w - 152*w + 66*w - 9*w**2 as h*w**2 + p + q*w**3 + t*w and give q.
-34
Rearrange -1165*o**2 + 10798*o**2 + 4686*o**2 + 294*o**2 to the form l*o**2 + f*o + n and give l.
14613
Rearrange (8*u - 4*u - 10*u)*(-2062*u**3 - 536*u**3 + 733*u**3) to the form i*u + x*u**3 + j*u**2 + t*u**4 + c and give x.
0
Express 0 + i**2 - 3*i**2 - 2 + 1 + 4 + 133*i**3 as g + d*i**2 + p*i**3 + k*i and give d.
-2
Express -3 + 4*f**3 - 2339*f**4 - 3*f**3 - 2341*f**4 + 4683*f**4 + 112*f**2 as d*f + b*f**3 + x + t*f**4 + r*f**2 and give r.
112
Express 15 + y - 99035*y**3 + 99437*y**3 + 11 + (2*y**2 - 3*y**2 - y**2)*(-3*y + 3*y - y) in the form d + g*y**3 + i*y + m*y**2 and give i.
1
Express 17*p**2 - 5*p**2 - 12*p - 3 + 41*p + 0 + 14*p as q*p**2 + h + s*p and give h.
-3
Rearrange (517 + 199 + 56 + 43)*(-2 + 4 - 4)*(-3*u + 6*u - 2*u) to q*u + y and give q.
-1630
Rearrange -5115*a**2 + 2558*a**2 + 2561*a**2 + 249*a**3 to the form y + u*a + b*a**2 + x*a**3 and give x.
249
Rearrange 917*s**2 - 914*s**2 + s**3 + 507 - 6*s**3 + 4*s**3 + 798 to v*s + x*s**3 + f*s**2 + c and give c.
1305
Express 16 - 26*i - 1 - 13*i - i - 10*i as t*i + q and give t.
-50
Express -f - 27*f**4 + 28105*f**2 - 28166*f**2 + 26*f**4 + 2*f**3 as n*f**2 + z*f**3 + u + h*f**4 + v*f and give z.
2
Express 331*w**2 + 2*w + 2 + 2*w**4 + 2*w**3 - w**4 - 318*w**2 + 3*w**4 as r*w + t*w**2 + i*w**4 + c*w**3 + x and give r.
2
Express -5530 + 15*d + 12*d + 5558 as w*d + v and give v.
28
Rearrange 1093*d + 4620*d + 2694*d + 5814*d - 3070*d to the form l + a*d and give a.
11151
Express (16 - 11 + 14)*(-4 + 4 - 1)*(28 + 97 + 65)*(4*l + 4*l - 4*l) as d + v*l and give v.
-14440
Express -46*x**4 - 209*x**4 + 36*x**4 - x**4 - 3*x + 3*x + (-x**2 - 2*x**2 + 5*x**2)*(826 - 7*x**2 - 826) as s*x + q + j*x**4 + v*x**2 + o*x**3 and give j.
-234
Express 27*x**2 + 3*x - 3 - 26*x**2 + 1158*x**4 - 1159*x**4 in the form s*x**4 + d*x**2 + c*x + i + k*x**3 and give d.
1
Rearrange (-4 - 3 + 3)*(-2*o**3 - 482*o - 10 - 72 + 483*o) + (-2*o + 1 - 1)*(0 - 2 + 0)*(-5*o + 5*o - o**2) to w*o**2 + s*o + j*o**3 + q and give s.
-4
Express 62564 + 4*t + 0*t + 6*t**4 + t**3 + 0*t**4 - 28*t**2 - 62562 as i*t**2 + b + o*t**3 + c*t + v*t**4 and give o.
1
Rearrange 4603*a + 1481*a - 1775*a to v*a + y and give v.
4309
Express -19*z**3 + 3*z**4 - 5*z**4 + 6*z**4 - 2*z - 915*z**2 + 916*z**2 in the form g*z + t*z**4 + w*z**2 + b + s*z**3 and give t.
4
Express -44*g + 5*g**2 + 23*g + 5*g**3 + 26*g + 3*g**4 + 3 - 2*g**2 - 4*g**2 in the form r*g**2 + w*g**4 + u*g**3 + a*g + j and give w.
3
Rearrange -3988 + 2*y + 23*y**2 - 2*y - 2*y - 3*y**4 + 1990 + 1994 - 2*y**3 to a*y + h*y**3 + z + m*y**4 + o*y**2 and give z.
-4
Rearrange (v**3 - v**3 + 8*v**3 + (2*v - 2 + 2)*(-2*v**2 - v**2 + v**2))*(172*v + 419*v - 8*v) to n*v**2 + p*v**4 + w + f*v**3 + q*v and give p.
2332
Rearrange -95 + 411*q - 243*q - 198*q to the form t*q + h and give h.
-95
Rearrange -1 - 9*p**2 - 5*p**2 + 11*p**2 + 8*p**2 - 3*p**2 - 19*p**3 + 2*p to k*p**3 + d + i*p + c*p**2 and give c.
2
Rearrange (15*m**2 + 48*m - 48*m)*(11051*m - 11051*m + 358*m**2) to the form c*m**3 + k*m**2 + j*m + h*m**4 + i and give h.
5370
Rearrange 114*s**3 + 4 - 82*s**3 + 22*s**4 - 30*s**3 + 4*s**2 to the form d*s**3 + v*s + a*s**2 + o*s**4 + b and give d.
2
Express (-3 - 2 + 1)*(-1 + 1 - 4*v) + 1658*v - 465*v + 1060*v - 113 + 113 as t + c*v and give t.
0
Rearrange (-4 + z + 2*z + 1)*(-3 + 15 + 2)*(14*z - 7*z + 9*z + (-7 + 3 + 3)*(4*z - 7*z + 10*z)) to w*z + j*z**2 + i and give j.
378
Express 4*o**2 + 1113002*o - 1112845*o - 3*o**2 as k*o + m + u*o**2 and give k.
157
Express -40*k**3 + 5*k**2 + 38*k**2 + 2*k + 38*k**3 as j + i*k + o*k**2 + p*k**3 and give j.
0
Express 7245*k + 5885 - 2953 - 2931 in the form p*k + w and give w.
1
Rearrange (3305 + 2955 - 7250)*(7*s**4 - 11 + 11) + s**2 + s**4 - s**2 to l*s + b*s**3 + m + c*s**2 + a*s**4 and give a.
-6929
Rearrange 2*k**2 - 11*k**2 - k**2 + (3*k + k - 5*k)*(0 - 4 + 2)*(3 - 1 + 1)*(5 - k - 5)*(0 + 5 + 2) to the form t*k**2 + p*k + o and give t.
-52
Express -26*z**3 - 36 - 15*z**3 + 64*z**3 - 11*z**3 - 6*z**2 + 5*z**2 in the form s*z**3 + u*z**2 + c*z + y and give s.
12
Express (8769 - 8769 - 826*x)*(-6*x + 17*x + 15*x)*(-2*x**2 - 2*x**2 + 2*x**2) as y + m*x**3 + g*x**2 + p*x**4 + q*x and give p.
42952
Express -12*h - 6*h**3 + 4*h + 4*h**3 + (1 - 2 + 3 + (-3 + 3 - 4)*(7 - 9 + 24))*(-12*h**3 + 5*h**3 + 15*h**3) as p*h + v*h**2 + c*h**3 + n and give c.
-690
Rearrange -360*x**2 - 2 - 595*x**2 + 1246*x**2 - 950*x**2 to the form v*x**2 + j*x + u and give v.
-659
Rearrange 63 - 223*n**2 + 6*n - 2*n - 61 - 66 + 65 to r + o*n + v*n**2 and give o.
4
Express (1 + 2 - 4)*(21 + 18 - 34)*(-5*n**2 + 2*n**2 + n**2)*(n**2 - 6*n**2 + 3*n**2) as y*n + p*n**2 + j*n**3 + q*n**4 + w and give q.
-20
Express 16826*u + 17192*u - 4 - 34585*u as t + m*u and give m.
-567
Rearrange -3 - 32000*j + 68051*j - 24121*j + 3 to b + s*j and give b.
0
Express (-7 - 79 - 10)*(-5*r + 2*r + 0*r + 3 - 3 + 4*r + (4*r - r - 5*r)*(-4 + 6 - 3)) as o*r + y and give o.
-288
Express -1594*c**2 + 141*c**2 - 1130*c**2 in the form k*c + q + x*c**2 and give x.
-2583
Rearrange -1319*u**2 - 17879 + u + u + 17879 to the form n*u**2 + k*u + i and give k.
2
Rearrange (54*o - 26*o + 11 - 29*o)*(-16 + 37 + 17) to k*o + m and give m.
418
Express (6 - 4 - 2*l**2 - 1)*((0 + 0 + 2*l)*(-2 + 3 - 4) + (39*l + 1 - 1)*(-2 - 17 - 2)) in the form t*l + o*l**3 + g + k*l**2 and give t.
-825
Rearrange 27*s - 13*s**3 + s**2 - 17*s - 15*s**4 - 6*s + 6 + 12*s**4 - 2*s to l*s**2 + o*s**4 + z*s + t + f*s**3 and give t.
6
Rearrange (2*o - 2*o + 2*o)*(32681 - 32681 + 146*o)*(-3*o + 4*o + o) to q*o + p + g*o**3 + m*o**2 and give p.
0
Rearrange 2*n**3 - 2295*n**2 + 45 + 1044*n**2 + 1251*n**2 + 19*n to x*n + h*n**3 + w*n**2 + j and give x.
19
Express 122 - 61*h**3 - 72*h**3 + 10*h**3 - 112 - 2*h**3 in the form p + l*h + z*h**2 + f*h**3 and give f.
-125
Rearrange 25*v - 2 + 12 - 27*v + (590 - 297 - 297)*(-3*v + 3*v - v) to g*v + c and give c.
10
Express 1289*m**2 - 44*m**3 + 1131*m**2 + 86*m**3 - 47*m**3 + 599*m**2 in the form o + f*m**3 + s*m + l*m**2 and give l.
3019
Express -160 + 32*h**2 + 121 - 13*h**2 + 2*h**3 + 5*h**3 - 5*h**3 in the form z*h**2 + n*h + c + d*h**3 and give c.
-39
Express (-364 + 764 + 502)*((2*u - 2*u + 2*u)*(2 + 0 + 0) + u - 5*u + 2*u - 3 + 3 + u - 2*u - 2 - 2 - 4) as j*u + s and give j.
902
Rearrange -4835*q - 7060*q + 71 - 71 to the form l + v*q and give v.
-11895
Express -4 - 2*c**4 + 0*c**2 + 22*c**4 + 171*c**3 - 3*c**2 + 6*c**4 - 172*c**3 in the form g + t*c**4 + f*c**3 + y*c**2 + z*c and give f.
-1
Rearrange (2 - 1 + 0)*(1 - u**4 - 1) + 20*u**4 + 3*u**2 - 15*u**4 + 19*u**4 - 3*u - 15*u + 9*u**4 + 15*u to w*u + p*u**3 + i*u**4 + v + b*u**2 and give b.
3
Express -b + 18 + 3*b**3 - 2*b**3 - 15*b**4 - b**2 + 32*b**4 - 24*b**4 in the form h*b**3 + c*b + r*b**2 + n*b**4 + u and give n.
-7
Rearrange (67 + 16 + 33)*(m**2 + m**2 - 13 - 4) to g*m + d*m**2 + c and give c. | {
"pile_set_name": "DM Mathematics"
} |
53/150 and 18/925?
5550
Calculate the common denominator of 15/2 and 137/60.
60
Find the common denominator of -14/13 and -79/286.
286
What is the common denominator of 113/1210 and -87/110?
1210
Calculate the least common multiple of 1 and 99.
99
Find the common denominator of 21/220 and 89/726.
7260
Find the common denominator of 3/5 and -57/3620.
3620
Calculate the least common multiple of 4 and 12.
12
Calculate the lowest common multiple of 18 and 144.
144
Calculate the common denominator of -88/45 and 121/174.
2610
What is the least common multiple of 1690 and 195?
5070
What is the common denominator of 127/630 and -73/540?
3780
Find the common denominator of -41/16 and -69/6656.
6656
What is the common denominator of -87/50 and -36/1055?
10550
What is the least common multiple of 210 and 30?
210
Calculate the common denominator of 127/42 and 3/2.
42
Calculate the least common multiple of 15 and 35.
105
What is the lowest common multiple of 1700 and 4675?
18700
What is the smallest common multiple of 3 and 336?
336
What is the common denominator of 9/2 and 97/256?
256
What is the common denominator of -43/3 and 109/308?
924
Find the common denominator of 73/35 and -26/175.
175
Calculate the lowest common multiple of 80 and 50.
400
Calculate the common denominator of 29/66 and -13/54.
594
Calculate the lowest common multiple of 6 and 12.
12
Calculate the smallest common multiple of 52 and 8.
104
What is the common denominator of -19/84 and 59/70?
420
What is the common denominator of 67/7575 and 29/125?
37875
What is the least common multiple of 546 and 84?
1092
What is the common denominator of 4/2793 and -61/39?
36309
Calculate the common denominator of -4/3 and 89/66.
66
Calculate the lowest common multiple of 84 and 231.
924
What is the smallest common multiple of 6 and 48?
48
Calculate the common denominator of -107/2790 and 93/80.
22320
What is the smallest common multiple of 44 and 33?
132
Find the common denominator of -45/37 and 43/7.
259
Calculate the smallest common multiple of 66 and 15.
330
What is the common denominator of 60/119 and -137/350?
5950
Calculate the smallest common multiple of 737 and 132.
8844
Calculate the least common multiple of 98 and 24.
1176
What is the smallest common multiple of 2 and 13?
26
What is the common denominator of 69/70 and -101/80?
560
What is the lowest common multiple of 98 and 126?
882
Calculate the least common multiple of 1212 and 444.
44844
Calculate the least common multiple of 30 and 480.
480
Calculate the common denominator of 81/16 and 157/13056.
13056
What is the smallest common multiple of 104 and 8?
104
Calculate the lowest common multiple of 11 and 184.
2024
What is the lowest common multiple of 493 and 145?
2465
What is the least common multiple of 2 and 624?
624
What is the least common multiple of 6 and 304?
912
Find the common denominator of -4/243 and -97/540.
4860
What is the common denominator of -33/665 and -32/63?
5985
Find the common denominator of 65/14 and -23/876.
6132
Calculate the least common multiple of 166 and 20.
1660
Calculate the lowest common multiple of 90 and 36.
180
What is the smallest common multiple of 78 and 1644?
21372
Calculate the common denominator of -5/16 and -81/5212.
20848
What is the common denominator of 25/249 and -79/30?
2490
What is the lowest common multiple of 6 and 3401?
20406
What is the common denominator of 1/726 and -11/16?
5808
What is the common denominator of 89/90 and 137/12?
180
Calculate the common denominator of -41/52 and -59/117.
468
What is the common denominator of 43/16 and -131/66?
528
What is the common denominator of -17/48 and -41/72?
144
What is the lowest common multiple of 6 and 38?
114
Calculate the least common multiple of 294 and 490.
1470
Find the common denominator of -45/22 and 187/210.
2310
What is the common denominator of -12/5 and -68/75?
75
What is the common denominator of 13/54 and -121/54?
54
What is the least common multiple of 714 and 498?
59262
What is the least common multiple of 2 and 8?
8
What is the common denominator of 181/60 and -19/15?
60
What is the common denominator of 71/22 and -47/13918?
153098
What is the common denominator of -35/6 and -51/2770?
8310
Calculate the lowest common multiple of 44 and 30.
660
Calculate the smallest common multiple of 8 and 314.
1256
Find the common denominator of -121/12 and -77/32.
96
Calculate the least common multiple of 96 and 928.
2784
Calculate the common denominator of -127/30 and 113/66.
330
Find the common denominator of 57/460 and 39/92.
460
Calculate the common denominator of -1/763 and 17/2.
1526
What is the lowest common multiple of 684 and 380?
3420
Find the common denominator of -32/3 and -143/3144.
3144
Calculate the lowest common multiple of 800 and 112.
5600
Calculate the least common multiple of 840 and 672.
3360
What is the smallest common multiple of 380 and 36?
3420
Find the common denominator of 113/84 and 107/930.
13020
What is the smallest common multiple of 220 and 40?
440
Calculate the common denominator of 49/711 and -11/189.
14931
Calculate the least common multiple of 316 and 869.
3476
Calculate the common denominator of 39/3956 and 29/11.
43516
What is the smallest common multiple of 150 and 150?
150
Find the common denominator of -137/2800 and 33/20.
2800
Find the common denominator of 125/72 and 97/180.
360
What is the smallest common multiple of 370 and 259?
2590
What is the common denominator of 59/6 and 54/221?
1326
What is the lowest common multiple of 35 and 30?
210
Calculate the lowest common multiple of 40 and 92.
920
Calculate the lowest common multiple of 8 and 794.
3176
What is the least common multiple of 3 and 51?
51
What is the smallest common multiple of 8 and 40?
40
Find the common denominator of -39/1250 and -121/6.
3750
Find the common denominator of -47/340 and 7/12.
1020
Calculate the common denominator of 81/700 and -73/350.
700
Calculate the least common multiple of 8 and 133.
1064
What is the common denominator of -29/27 and 74/3?
27
What is the common denominator of 22 and 55/4?
4
Calculate the common denominator of 97/7623 and 29/252.
30492
What is the least common multiple of 2530 and 1610?
17710
Calculate the least common multiple of 4 and 40.
40
What is the smallest common multiple of 1920 and 64?
1920
Calculate the smallest common multiple of 42 and 105.
210
Calculate the lowest common multiple of 2709 and 2709.
2709
Calculate the common denominator of -29/27 and 89/54.
54
What is the smallest common multiple of 1059 and 6?
2118
What is the least common multiple of 8 and 152?
152
What is the common denominator of -67/1666 and 111/4522?
31654
Calculate the common denominator of 61/734 and -71/6.
2202
What is the common denominator of -54/299 and 97/208?
4784
What is the smallest common multiple of 120 and 1875?
15000
What is the common denominator of -33/1015 and 9/667?
23345
What is the lowest common multiple of 612 and 16?
2448
Calculate the common denominator of 17/12 and -77/12.
12
Calculate the common denominator of -6/35 and -69/40.
280
Find the common denominator of -37/18 and 93/44.
396
Calculate the least common multiple of 328 and 1.
328
What is the smallest common multiple of 132 and 198?
396
Calculate the common denominator of -71/6 and 34/5.
30
Calculate the lowest common multiple of 6 and 2476.
7428
What is the least common multiple of 69 and 92?
276
Calculate the common denominator of 23/5 and -97/350.
350
Calculate the smallest common multiple of 18 and 348.
1044
Find the common denominator of -83/40 and 47/130.
520
What is the lowest common multiple of 18 and 9?
18
What is the lowest common multiple of 4948 and 36?
44532
Find the common denominator of 23/6 and 73/36.
36
Calculate the least common multiple of 32 and 40.
160
Find the common denominator of -64/195 and 82/255.
3315
What is the smallest common multiple of 644 and 782?
10948
What is the lowest common multiple of 223 and 2?
446
What is the common denominator of 13/60 and -11/180?
180
Calculate the least common multiple of 31972 and 14.
223804
What is the lowest common multiple of 182 and 70?
910
What is the common denominator of -73/81 and 31/57?
1539
Calculate the common denominator of 64/327 and 181/60.
6540
C | {
"pile_set_name": "DM Mathematics"
} |
closest to 0.2 in 0.1, -2/5, -18, -0.8, 91?
0.1
Which is the nearest to -65? (a) 0.5 (b) 32985 (c) -2 (d) 1/5
c
What is the nearest to -950 in -4.14, 3/8, -3/5, 3?
-4.14
Which is the closest to 0? (a) -1.7 (b) -1/2 (c) -0.07 (d) 4 (e) -6 (f) 5/121
f
Which is the nearest to 1? (a) 1/2 (b) 2 (c) 0.1 (d) 76 (e) -102 (f) -1.59
a
Which is the nearest to 6/7? (a) -262.34 (b) -1/4 (c) 22
b
Which is the closest to 0? (a) -0.1 (b) 2/39 (c) 1/268 (d) 0 (e) 12
d
What is the closest to -4 in 0.125, 1/3, -2/15, -11, -4?
-4
Which is the closest to 2.58? (a) 2 (b) -2460/13 (c) -2 (d) -2/11
a
What is the closest to 0 in -728, -0.1, -0.28, -5/57, -0.4?
-5/57
What is the closest to 6/25 in -1, 15, -3028?
-1
Which is the closest to 0.027? (a) -1/3 (b) 2/7 (c) 0 (d) -209
c
What is the nearest to -3 in 2/63, -0.4, 0.3, 14/51, -14, -9?
-0.4
Which is the nearest to -1/11? (a) 4/3 (b) 6 (c) -0.3 (d) -1/4 (e) 814/15
d
Which is the closest to -3878? (a) -5 (b) 0.1 (c) 0.3 (d) 14 (e) 3/4
a
What is the closest to -1 in -1, -8, -0.2, -838, -2?
-1
Which is the closest to -7/4? (a) -0.1 (b) 2/199 (c) -1
c
Which is the closest to -98? (a) 1.402 (b) 1 (c) -3/16
c
Which is the nearest to 5? (a) 678 (b) -3 (c) -1/257
c
What is the nearest to -0.033 in -15, -15/11, -0.02, 2/137?
-0.02
Which is the nearest to 0.1? (a) 0.1 (b) -0.293 (c) -5/32 (d) 5 (e) 2
a
Which is the closest to 0? (a) 3/7 (b) 5 (c) 189 (d) 1/467 (e) 0.4
d
Which is the nearest to -1? (a) -2/37 (b) 5 (c) -2.1678 (d) 5/4
a
Which is the closest to 76.3? (a) 10 (b) -1/2 (c) -2/11 (d) 3/4 (e) 3/11
a
Which is the nearest to -19? (a) 4.4 (b) -4436 (c) 3
c
Which is the closest to 2/3? (a) 3 (b) 49016 (c) 5 (d) 2
d
Which is the closest to 6? (a) -99 (b) 3 (c) 2756
b
Which is the closest to -3? (a) 1369 (b) -2/7 (c) 24.98 (d) -2
d
What is the closest to -0.2 in -5, -464, 13/4, -23?
13/4
Which is the nearest to 0.639? (a) -5 (b) -3/64 (c) 0.2 (d) -0.6
c
Which is the nearest to -0.0274? (a) -0.09 (b) 8 (c) 4/7 (d) 3/7 (e) -2 (f) 2/15
a
Which is the nearest to -1/3? (a) 210 (b) 6 (c) -2 (d) -2570 (e) 5
c
What is the nearest to -1 in -1, -4, 72148656, 1/3?
-1
Which is the nearest to 4.4? (a) 2/3 (b) 1/8 (c) 5/4 (d) -602
c
Which is the closest to 0? (a) 2 (b) 0.3 (c) 0.5 (d) -1/925199
d
What is the nearest to -839750 in 2, -0.1, -1, 12?
-1
Which is the nearest to 1/14? (a) -1/15 (b) 1343 (c) 1 (d) -0.4
a
Which is the nearest to 8? (a) -143 (b) 0.116 (c) 1/7
c
What is the closest to -1.1 in 1, 1/139, -2, -347?
-2
Which is the nearest to 0.0548? (a) -13 (b) -9 (c) 0.256
c
Which is the nearest to 25/6? (a) -5155 (b) -0.04 (c) -2/5
b
Which is the closest to -3/10? (a) 1/8 (b) 0.3 (c) -212/13 (d) -0.02 (e) -0.4
e
What is the closest to -2 in -0.1, -0.3, 4, 409730?
-0.3
What is the nearest to -40610 in 1, 2/3, -40/9?
-40/9
Which is the nearest to -1/2? (a) 116 (b) -6/11 (c) -25 (d) -4 (e) -5 (f) 26
b
What is the nearest to -19 in -0.5, -51, -5, 32, 9?
-5
Which is the closest to 0.06? (a) 15.9212 (b) -1/5 (c) 35
b
Which is the closest to -4366? (a) -13 (b) -3/2 (c) 41.1
a
Which is the closest to -63/8? (a) -1113 (b) -0.4 (c) -1
c
Which is the closest to -1/3? (a) 10 (b) -29/9 (c) -1/5 (d) 0.9 (e) -0.4
e
Which is the nearest to 10/7? (a) -2 (b) 0.1 (c) -186/11
b
Which is the closest to 0.33? (a) 29 (b) 0.3 (c) 547 (d) 2
b
What is the closest to -22 in 5, 89, -1/2, 0.57?
-1/2
What is the nearest to 2 in -2/17, 1/2, -4/3, -5, -13/9?
1/2
What is the closest to -4 in 2, 0.3, 3/5, 4730.4, 5?
0.3
Which is the closest to 0.2? (a) -14/61 (b) -43.6 (c) -3
a
Which is the nearest to 2/5? (a) -2 (b) -2471 (c) -1045 (d) 0
d
What is the nearest to -2 in 3, 0.01, -569, -8, -0.3?
-0.3
Which is the closest to -2? (a) 0 (b) 0.6 (c) 61 (d) 0.2 (e) -1 (f) -46
e
What is the closest to -0.07 in -4/23, 0.1, 2/13, 13/4, -3?
-4/23
Which is the closest to -11? (a) -0.3 (b) 3 (c) 0.1 (d) 0.08 (e) 2/77 (f) 28
a
What is the closest to -2/5 in -2, -3, 134, -15.21?
-2
Which is the nearest to 0.1? (a) 2/5 (b) -0.5 (c) -144 (d) -5 (e) 2607
a
What is the closest to 0 in 70/19, -157, 1, 0.1, 5?
0.1
Which is the nearest to -0.3? (a) -953 (b) -0.809 (c) -3
b
Which is the nearest to -1/2? (a) -0.089 (b) -1/3 (c) 4/21 (d) 0 (e) 9
b
What is the closest to 4 in 97, 4, -44, 0.016, -3, 5?
4
Which is the closest to 137? (a) 0 (b) -0.1 (c) -3 (d) 16 (e) -0.092
d
What is the closest to -8 in -3, 1/2, -44, 3, 110?
-3
What is the closest to 2 in -9, 3/35, 38, -1/353?
3/35
Which is the closest to 0.2? (a) -1204 (b) -1/2 (c) 1295 (d) -2
b
Which is the closest to -7282? (a) -1/7 (b) -23 (c) 0.06
b
What is the closest to 9 in 3559, -2/3, -3, -1, -0.03?
-0.03
Which is the closest to -3? (a) 710 (b) 1929 (c) -3 (d) -0.4 (e) -1
c
What is the nearest to -9/2866 in 0.3, 2, 101, -2/7?
-2/7
Which is the closest to -9924? (a) -10 (b) -0.13 (c) -0.5
a
What is the nearest to -1 in -1855, 13/7, -2, -0.3, -0.1?
-0.3
Which is the closest to -3? (a) -1/65 (b) -2.84 (c) 1.5
b
What is the closest to 0.1 in 0, 5207845, -1, 6/11?
0
Which is the closest to 85.013? (a) 0.4 (b) -1/4 (c) -2 (d) -3/2 (e) -1/3
a
Which is the nearest to -0.43? (a) 48 (b) -2/3 (c) 18 (d) -3.8 (e) -3
b
Which is the closest to 2/3? (a) -3/8 (b) 10.7114 (c) 3 (d) -0.3 (e) 0.03
e
What is the closest to 2/7 in -0.802, 2/15, 79, 2/3, 5, -8?
2/15
Which is the closest to -2? (a) 906 (b) -0.02 (c) -25 (d) 2
b
Which is the closest to 100? (a) -15/8 (b) -3 (c) 476
a
What is the closest to 25 in -3/8, 11.4, -2/7?
11.4
What is the closest to 1/3 in 3/5, -5, 1/20, 331?
3/5
Which is the nearest to -7? (a) 21 (b) -0.2 (c) -0.01 (d) 1 (e) -49 (f) 0.3
b
What is the nearest to 0.8 in -2/9, -7/145, -4, 3, -0.4, -0.79?
-7/145
Which is the nearest to -41525? (a) 4 (b) -7 (c) 24/11 (d) -3 (e) 3
b
What is the nearest to -6 in -61, 4, -0.1, -0.011, -1/4?
-1/4
What is the nearest to -15 in -2, 44/3, -0.018?
-2
What is the closest to -0.2 in 12/7, 1520/9, 30, 0.5?
0.5
What is the nearest to -76758 in 1/2, -0.2, 4, -17?
-17
What is the closest to 0 in 4, 35803, 2, 11?
2
Which is the closest to 3/1004? (a) -2/9 (b) -98 (c) -8
a
What is the closest to -2/3 in 68310, 2, 0.1, 10, -1/3?
-1/3
Which is the nearest to -0.02? (a) -203913 (b) -4 (c) 0.5 (d) -5
c
What is the closest to 2 in 1/9, -188, 0.047, -0.6?
1/9
What is the closest to 0.2 in -33, -0.2, 1856?
-0.2
Which is the nearest to 63? (a) -5 (b) -3/5 (c) 59 (d) 0 (e) 0.064
c
Which is the closest to -1/5? (a) -54 (b) 0.6906 (c) 3/5 (d) -4
c
Which is the closest to 0? (a) 0.09 (b) -15/8 (c) -2/57 (d) -0.07 (e) 1
c
What is the closest to -15 in -0.2, -0.18, 1/8, -132/163?
-132/163
Which is the closest to -0.13? (a) -2/5 (b) 15/2 (c) -6 (d) 1/3 (e) 4
a
What is the nearest to -0.2 in -2/7, -1/832, 4, -0.099, -4, 0.1?
-2/7
What is the closest to -3/7 in 26820, -2/9, -8/3, 18?
-2/9
Which is the nearest to -445? (a) -0.3 (b) -3/7 (c) 3 (d) 0.68 (e) -0.53
e
Which is the nearest to -2/5? (a) -34 (b) 1/3 (c) -0.067 (d) -2 (e) -230
c
What is the closest to -0.3 in 2/311, -322, -14, -2/3?
2/311
Which is the nearest to -1? (a) -6 (b) -95 (c) -4 (d) -5 (e) 2/101 (f) 1
e
Which is the nearest to -4.804802? (a) -0.3 (b) -4 (c) -1/10
b
Which is the closest to 0.7? (a) -0.1939 (b) 0.26 (c) -5
b
Which is the closest to -12.2? (a) -6 (b) -2.31 (c) -3 (d) 2/19 (e) 2
a
What is the closest to 1 in 176, -3/5, -239, 0.09, -4?
0.09
What is the closest to -3.103 in 0.044, 1, 5, -2/17, -4/3?
-4/3
Which is the closest to -501/7? (a) -2/3 (b) -21 (c) -0.02 (d) 3 (e) -0.5
b
What is the nearest to 11 in -2.2624, -3/5, -2/7, 0.1?
0.1
Which is the closest to -18? (a) 1.6 (b) -1/31 (c) -1525 (d) -0.2
d
What is the nearest to -2 in -110, 130, 0.3?
0.3
Which is the nearest to -32? (a) -56 (b) 2/9 (c) 106
a
What is the nearest to -5/11 in 0.75, -0.08, 5, 22?
-0.08
What is the closest to -5 in 15/8216, 1, -5, -1/2, 0?
-5
What is the closest to 0.1 in 1/11, 443/26, -3, 1, -0.4?
1/11
Which is the closest to -2/3? (a) 2 (b) -2/19 (c) 28/77 | {
"pile_set_name": "DM Mathematics"
} |
- 13*m**2 + 12*m - 6. Let s(y) = y**2 - 9*y + 12. Let c be s(8). Let v = c + -18. Is p(v) a multiple of 16?
False
Suppose -5*v + 0*m = 3*m - 5839, 4*m = 12. Is 11 a factor of v?
True
Let v be 4/(-26) - 756/(-182). Let u(h) = h**3 - h**2 - 8*h - 2. Does 12 divide u(v)?
False
Let m(g) = g**3 + 9*g**2 - 13*g - 4. Let j(y) = -3*y**3 - 27*y**2 + 39*y + 12. Let s(z) = -4*j(z) - 11*m(z). Suppose -31*x - 278 = 32. Is 6 a factor of s(x)?
False
Let p be (-4)/(-34) + (-18)/153. Is (p - (-80)/(-15))/(6/(-9)) a multiple of 2?
True
Suppose -2*h + 391 = -45. Let q = h + -99. Is q a multiple of 30?
False
Suppose 4 - 4 = 2*z. Suppose z = -3*c - 6, -7*c + 12*c + 874 = 4*d. Is d a multiple of 19?
False
Let o(m) = 0*m**2 + 6 - 3*m**2 - 9 + 5*m**2 + 2*m**2 - 3*m. Let d = 3 - 6. Is o(d) a multiple of 14?
True
Suppose -64*s = -24510 - 14850. Does 15 divide s?
True
Let n(l) = 3*l**2 - 2 - 2*l - 9*l**2 + 7*l**2. Let f be n(3). Let r = 35 + f. Does 20 divide r?
False
Let w = 52 + -49. Suppose w*f + 36 = 150. Is f a multiple of 5?
False
Suppose -9*t + 38816 = 11447. Does 9 divide t?
False
Suppose -72*l + 6889 = 409. Is l a multiple of 32?
False
Suppose 2*q = 7*q - 75. Suppose 0 = n - 3*h - q, -2*n = -3*h - h - 38. Suppose -11*w + 8*w = -n. Does 3 divide w?
True
Let h be (13 + -1)*(-4)/6. Let q = h + 60. Suppose -6*d + d = 3*c - 54, 2*c - 2*d - q = 0. Is c a multiple of 12?
False
Suppose -3*c = c. Suppose c = -37*h + 35*h + 20. Is 5 a factor of h?
True
Suppose -s - 22 = 8. Let h = s - -114. Is 28 a factor of h?
True
Suppose 3*g + 4*t = -61 + 630, 0 = 3*g - 3*t - 597. Is g a multiple of 65?
True
Suppose 0*f - 70 = -2*j + 2*f, 2*j - 79 = -f. Is j a multiple of 3?
False
Let r be (-4)/((-91)/336 + (-1)/(-3)). Let i = r + 90. Is 26 a factor of i?
True
Let a(q) = q**2 - 4*q - 2. Let k be a(5). Let f = k - -41. Is f a multiple of 8?
False
Let l = 223 + 105. Suppose -4*s - l = -48. Let o = s + 110. Does 20 divide o?
True
Suppose 489 = -6*s + 7569. Is s a multiple of 20?
True
Let a be (0 + -2)*(-19)/(-19). Let i(y) = 4*y**2 - 2*y - 3. Is 17 a factor of i(a)?
True
Suppose 3*k + 5*o + 54 = 0, 7*o = -4*k + 4*o - 61. Let p(g) = -g + 9. Is p(k) even?
True
Let g = -791 - -7010. Is 17 a factor of g?
False
Suppose -5 + 21 = 4*u. Suppose 4*x = -3*w, -3*x + u*w + 31 = 2*x. Suppose -x*l - l + 100 = 0. Does 5 divide l?
True
Suppose 150 = 12*r - 17*r. Does 4 divide (-20)/(-6)*(-108)/r?
True
Let d(y) = -258*y + 3. Let z be d(-3). Suppose -1293 = -5*h - v, -2*h + z = h + v. Suppose 4*g - 4*u = 200, -5*g + u = -0*g - h. Is 27 a factor of g?
False
Let c(v) = -v**3 - 7*v**2 - 5*v + 12. Suppose -170*z + 171*z + 8 = 0. Is c(z) a multiple of 29?
True
Let l = 18 - 22. Let i be ((-8)/10)/(l/40). Suppose -105 = 3*j - i*j. Does 9 divide j?
False
Let z = -342 + 497. Is 9 a factor of z?
False
Let t = 0 + 42. Let b = -9 + t. Does 33 divide b?
True
Suppose 10 = -3*g - g + 3*s, 3*s = -4*g - 22. Let p be (-144)/(-40) + g/(-10). Suppose 2*k - 10 = -p. Is k a multiple of 2?
False
Let q(l) = -l**2 - 11*l - 5. Let z(p) = -3*p**2 - 23*p - 10. Let v(g) = 5*q(g) - 2*z(g). Let b be v(6). Let n = 7 - b. Is 15 a factor of n?
True
Let t = -251 - -539. Let v = t - 171. Is 6 a factor of v/12 - 1/(-4)?
False
Let u(o) = -o**2 - 22*o + 25. Let q be u(-23). Does 3 divide 5/(-10)*q*4/(-1)?
False
Is 6 a factor of (-1680)/(-40) - (-10)/2?
False
Suppose 0 = -2*h + 3 + 7. Let v = -73 - -154. Let g = h + v. Does 19 divide g?
False
Let g(h) = 74*h - 8. Let k be g(2). Suppose 7*u = 2*u + k. Is 14 a factor of u?
True
Let q = -127 + 15. Let n = -35 - q. Does 7 divide n?
True
Let j = 124 - -136. Let v = -184 + j. Let d = 109 - v. Is 10 a factor of d?
False
Suppose 0*j = -5*x + 3*j + 19, 4*x = 3*j + 14. Let t be 2/10*(29 - 4). Suppose -p - x*b = -29, -t*p = b - 23 - 26. Does 2 divide p?
False
Let m(l) be the first derivative of -l**6/12 + l**5/20 + l**4/24 - l**3/6 - l**2 + 9. Let j(y) be the second derivative of m(y). Is 28 a factor of j(-2)?
False
Suppose 0*h - 15 = 3*h, -3*h = 4*i - 269. Does 13 divide i?
False
Let u(n) = 12*n**3 + n**2 - 2*n + 1. Suppose 1 = 3*c - o, c - 4*o - o + 9 = 0. Let k be u(c). Let t = k - 2. Does 10 divide t?
True
Let w(c) = c**3 - 10*c**2 - c + 10. Let b be w(10). Suppose b*r + 4*r + 458 = 3*o, -2*o + 306 = -2*r. Is o a multiple of 14?
True
Suppose 8*a + 182 = 710. Is a a multiple of 13?
False
Suppose 15*x + 10 = 13*x. Let h(i) = i**3 + 10*i**2 + 2*i + 5. Does 16 divide h(x)?
False
Let m(p) be the first derivative of -1/2*p**2 + 1/3*p**3 - 4 + 5*p. Is m(-6) a multiple of 16?
False
Let u be 10/(-75) - 34/(-30). Let a be u/5 - (-99)/55. Suppose -4*g + 5*g + 56 = a*p, -3*g = -3*p + 78. Is 8 a factor of p?
False
Let h(o) = 10*o - 4. Let p be h(-3). Let s(x) = -x**2 + 4*x + 8. Let f be s(8). Let t = f - p. Is t a multiple of 5?
True
Let x = 26 - 13. Is 12 a factor of x - -6 - 3*-1?
False
Suppose 2*c = 2*i - 8, -2*c - 3 = c. Suppose 2*v - 3*v - 5*a = -7, a = -v + i. Suppose -10*s = -v*s - 200. Does 7 divide s?
False
Let m(g) = -4*g + 1. Let h be m(-1). Suppose 5*t + h*z - 76 = -16, -2 = 2*z. Does 10 divide t?
False
Suppose 0 = -20*x + 1279 + 3921. Is x a multiple of 13?
True
Let v be (9/(-6))/(-3*(-2)/(-8)). Suppose 195 = r - 0*u + v*u, -3*u = -4*r + 802. Is r a multiple of 28?
False
Let b(x) = 3*x - 3. Let w be b(1). Suppose w = 4*v - 79 - 29. Is v a multiple of 9?
True
Let q(f) = f**2 + 16*f + 21. Let t be q(-12). Does 29 divide t/(-216) + 927/8?
True
Suppose -2 = 2*f - 0*f - 2*o, 4*o = -5*f - 32. Is (-78)/f*(-8)/(-6) a multiple of 13?
True
Suppose -2*l = -2*n - 3172, 2*l - n + 3*n - 3192 = 0. Does 29 divide l?
False
Let b = 0 + -9. Is 5 a factor of -2 + 55 + (-18)/b?
True
Let q = -3148 + 5651. Does 16 divide q?
False
Let f(q) = -2*q - 5. Let u be f(-13). Let b = u + -21. Suppose -4*c - 4*o = -68, b = -o + 5 - 2. Is 14 a factor of c?
True
Suppose -2*s - 5*g = -829, -5*s + 2*g = -3*g - 2020. Is 19 a factor of s?
False
Suppose -3*a + 118 = -299. Does 9 divide a?
False
Let y(z) = 17*z**2 - z - 2. Let f be y(-1). Suppose -106 - 58 = -3*i - 2*n, f = 4*n. Does 13 divide i?
True
Suppose 9566 = -13*p + 33408. Is 56 a factor of p?
False
Suppose -4*a + 2*p + 1794 = 0, 6*a + 0*p - 2697 = p. Does 20 divide a?
False
Let z be 2/(-8) - 545/(-20). Let b = -19 - -36. Suppose -z = -2*i + b. Is 17 a factor of i?
False
Suppose -4*l - 9 = -3*y + 17, 2*l + 10 = y. Let b be y*2/(-4) - -28. Suppose i + 5 = 2*v, -2*v + i = -6*v + b. Is v even?
False
Let v(k) be the second derivative of k**7/2520 - k**6/180 + k**5/24 - 5*k**4/12 + 2*k. Let f(x) be the third derivative of v(x). Is f(5) a multiple of 5?
True
Let x(c) = -10*c - 1. Let y be x(-5). Let z = 97 + y. Is 9 a factor of z?
False
Let q(g) = -g - g + 3*g. Let k be q(-11). Let d = 63 + k. Is d a multiple of 26?
True
Let f(o) = 631*o**2 + 633*o**2 - 1263*o**2 - o + 29*o**3. Let k(l) = -l**2 - 4*l - 3. Let h be k(-2). Is 6 a factor of f(h)?
False
Let i(q) = q**2 + 8*q + 14. Let g be i(-11). Let h = 98 + g. Suppose 2*d = v + h, -7*v = -5*d - 2*v + 350. Is d a multiple of 17?
False
Let z(y) be the first derivative of -y**3/3 + y**2 + 6*y + 5. Let a be z(3). Suppose -4*r + 232 = -0*r + a*l, 0 = r - 2*l - 47. Is 11 a factor of r?
True
Let d(n) = -3*n - 7. Let r be d(-1). Let k(j) = j**3 + 2*j**2 - 12*j - 10. Is k(r) a multiple of 6?
True
Let g = 3604 + -1976. Does 11 divide g?
True
Suppose 5*i - i - 12 = 0. Suppose 3*c = 5*q - 365, 0*q - i*q - 2*c = -200. Does 35 divide q?
True
Let g(b) be the second derivative of b**4/12 - 11*b**3/6 + 7*b**2 + 8*b. Let r be g(10). Suppose 0*x + x = 5*v - 362, -r = 2*x. Is 19 a factor of v?
False
Suppose 5*p = 1060 - 80. Suppose 2*j + p = 2*r, r - 131 = 5*j - 25. Is 12 a factor of r?
True
Suppose 23253 - 4173 = 30*v. Is 114 a factor of v?
False
Let a be 2*(3 - -3)*4. Does 15 divide a + 5 - 6/3?
False
Let o(x) = x**3 - 37*x**2 + 71*x + 22. Is o(35) a multiple of 8?
False
Is 6 a factor of -3*(-2)/(-18)*(0 - 156)?
False
Let i = -61 + 173. Suppose 4*r = 5*p + 142, 2*r - p = -r + i. Is 19 a factor of r?
True
Suppose -8 = 4*v, 5*h + 8*v = 11*v + 3341. Is h a multiple of 29?
True
Suppose 4*s - r - 2944 = 3*r, -5*r + 1500 = 2*s. Suppose -2*g + s = 2*g. Is g a multiple of 49?
False
Suppose 20*c + 13246 - 92286 = 0. Does 15 divide c?
False
Suppose 101 = 4*n + 33 | {
"pile_set_name": "DM Mathematics"
} |
Solve -5*h + 1788 = -29*h - 2*o + 1458, -2*h + 3*o = 37 for h.
-14
Solve -l + 0*w + 60 = -7*w, -l - 7401*w + 40 = -7404*w for l.
25
Solve 0 = 5*x - 2*q - 7, 209*x - 215*x - 2*q + 26 = 0 for x.
3
Solve 4*t = -t - 10*q + 8*q - 47, 4*t - 30 = q for t.
1
Solve 5*m + 33 = b, 6*b + m - 99 = 3*b + 6*m for b.
33
Solve 0 = -4*i - 183*k + 182*k + 144, 2*i - 90 = -5*k for i.
35
Solve -83*n = -82*n - 4, 0*u - 2*n = -3*u + 7*u - 96 for u.
22
Solve 0*l = -4*c + 3*c + 3*l + 12, -382*c + 388*c = 6*l + 60 for c.
9
Solve 3*w + 930 - 973 = 5*o, -2*o - 22 = -2*w for w.
6
Solve -f = -0*f + 6, -3*a - 13*f - 11*f - 2 = -22*f + 10 for a.
0
Solve 13*l = 4*o - 459, 69112*o = 6*l + 69111*o + 211 for l.
-35
Solve -6*t + 62 = -4*j - 0*j, -6*j - 104 = -84*t + 86*t for j.
-17
Solve 229*q + 457 = u + 239*q, -3*q = -8*u - 162 for u.
-3
Solve 2*a + 4005 - 3970 = 3*s, -3*s + 5*a + 47 = 0 for s.
9
Solve 20 - 77 = -3*j + 3*y, y + 4 - 5 + 16 = 0 for j.
4
Solve 5*g - j - 12 = 4*j - 62, -2*j + 12 + 2 = 0 for g.
-3
Solve -7*x - 138 = y, -20*y + 95*x + 100 = 92*x for y.
2
Solve 0 = -3*c + 5*r - 43, -128*c + 3495*r - 11 = -133*c + 3493*r for c.
-1
Solve -7316*b - 330 = -21*h - 7332*b, 2*b + 96 = 5*h for h.
18
Solve -3*w = 66, 40*j - 15*j = 24*j + 5*w + 47 + 63 for j.
0
Solve -88*t + 884 = -2274*s + 2278*s, -2*s = t - 12 for t.
10
Solve 11 = -3*f - 2*a, -3452*f + 56 = -3492*f - 4*a for f.
-1
Solve 26*h = -2*y + 24, 247*h = 252*h + 4*y - 1 for h.
1
Solve 5*w = -90*j + 95*j + 120, 0 = -20*w + 17*w + 5*j + 114 for w.
3
Solve 60*a - 60*a - 2*m - 3*m = -0*m + 25, -2*m + 62 = -8*a for a.
-9
Solve 0 = -3*u + u - 5*m, 0 = 3*u - 6*u + 22*m + 59 for u.
5
Solve -14*l = -8*m - 13*l - 149, 64*m + 3*l + 1225 = 0 for m.
-19
Solve 5*d - 109 + 18 = 24*t, -6*t - 27 = -3*d - 6 for d.
-1
Solve 4*z + 2*p = -923 + 457 + 426, -18*p = -5*z + 524 for z.
4
Solve -2*m = -5*s - 150, -114*s = -m - 72*s + 1260 for m.
0
Solve 0*x + 3*w = -3*x + x, -5*x - 413*w = -412*w for x.
0
Solve 0 = 4*p - 0*o + 3*o + 16, -204 = 582*p - 676*p + 2*o for p.
2
Solve 3*o = -727*b + 730*b - 12, 0 = 23*o + 2*b - 8 for o.
0
Solve 8*x - 38 = 175*n - 173*n, 4*n - x + 2*x = -76 for n.
-19
Solve 3*o - k - 19 = 0, 0*o - 7*o + 18*o = 2*o - 5*k - 1 + 50 for o.
6
Solve 6*n + 5*k + 51 = 0, -2*n + 2714*k - 2790*k = 240 for n.
-6
Solve 198*a - 199*a = -j + 2, -2*a = -4*j + 10 for j.
3
Solve 5*v - 2 = v - i, -650*v - i = -649*v - 2 for v.
0
Solve -3629*h - 5*v = -3624*h - 110, -2*h + v = -53 for h.
25
Solve -209*k + 424*k + 2*w + 1 = 214*k - 6, 22*k = -w - 240 for k.
-11
Solve -p = 4*k - 1, 71828 = k + 8*p + 71758 for k.
-2
Solve 10*d - 4*g - 50 = -132, -5*d - 2*g - 20 - 12 = 17 for d.
-9
Solve 3*w = 4*n - 22, -5*n + 570 = -7*n - 9*w - 31*w for n.
-5
Solve 26*p = -2*j + 114, j + 31 = -4*p + p - 36 + 84 for p.
4
Solve -5*c - 5556*h = -5552*h, -c = -3*h for c.
0
Solve 6*y - 9*g + 16*g = 7*g + 6*g + 54, -31 = -3*y + 6*g + 8 for y.
5
Solve -11734*d + 11725*d = 3*g - 249, 4*g + 5*d = 143 for g.
2
Solve -9*p + 1 = -z, 1 = 5*p + 4*z + 3 + 43 for p.
-1
Solve 0 = -2*p - 4*d, 402069*p + 34*d - 88 = 402074*p for p.
-4
Solve 458*x + 1172 = 2*q - 680, 117 = -3*x + 5*q + 55 for x.
-4
Solve -104*o + 101*o + 18 = -2*h, -19 = -3*h + h - 78*o + 449 for h.
0
Solve -69 = 12*o - 3*a, o + a - 12 - 3 + 17 = 0 for o.
-5
Solve -2*n + 3 - 79 = 2*g - 22*n, 5*g - 3*n + 49 = 0 for g.
-8
Solve -19858 = -1417*b - 4*n, 23998*n - 9 = -b + 23999*n for b.
14
Solve 15*a + 10*a - 4*d + 106 = 21*a + d, 2*d = -0*d + 36 for a.
-4
Solve 0*z + 3*z + 9*n = -48, 33*z = 13*z - 2*n - 146 for z.
-7
Solve 3*m - 76 = -66*g + 71*g, m - 42 = 5*g for g.
-5
Solve 10*c - 6 = -4*h + 4, 43695*c - 43694*c - 1 = -4*h for c.
1
Solve -19 = -5*z - 2*f - 15, -2*z = f - 32 + 31 for z.
2
Solve 125 = -9*p + 4*g, -5*p - g - 3169383 + 3169320 = 0 for p.
-13
Solve 33*a = 5*g - 76 - 34, -7*a = -4*a - 2*g - 0*g + 44 for a.
0
Solve 0 = 3*z - 4*g - 102, 10*z - 491*g = -494*g - 52 for z.
2
Solve -4*u + u - 8 - 23 = 2*n, 36*n - 12 - 77 = -3*u - 392 for n.
-8
Solve -3*v - 5*h = 2*v - 128 - 12, -22*h + 491 = 7*v + 10*v for v.
25
Solve 0 = 87*m - 2*a + 91, -24*m + 13*m + 12*m + 5*a = 9 for m.
-1
Solve 5*w = u - 86 + 81, -2*u + 23 = 3*w for w.
1
Solve k = -n - 20, 788883*n - 4*k - 58 = 788886*n for n.
-22
Solve y - 7*j = 7*y + 4*j - 1176, 2*y = 2*y + 4*j - 432 for y.
-2
Solve -49 + 22 = -3*g - 8*f - 28, -f = -5*g - 16 for g.
-3
Solve 0 = 3*x - 9*y + 117, -4*x + 844*y = 839*y + 177 for x.
-48
Solve -8*o - 2*c + 28 + 13 = 1, -5*o = -18*c + 52 for o.
4
Solve 3*c - 4*i + 76 + 49 = 0, 352*c - 348*c + 204 = -4*i for c.
-47
Solve -3*b - n + 3 - 11 = 0, 4*b + 15*n = 16*n - 6 for b.
-2
Solve 41*o + 14 = 39*o + 3*h, -82*o - 72 - 266 = -5*h for o.
-4
Solve -516442 = -5*z - 3*n - 516717, -291 = -3*z + 2*n + n for z.
2
Solve 0 = 3*t - 2*k + 102, -3*k + 4134 = -3*t + 3981 for t.
0
Solve 2*j + 4*b + 2 = 0, -3*j + 8 = 15*b - 3 + 14 for j.
-1
Solve -22*d = v - 26*d - 53, 0 = -2*v + 41*d + 37*d + 456 for v.
33
Solve 2 = p, -16*x + 83*p - 66 = 66*p for x.
-2
Solve 10*r - 72 = 6*r - 4*i, r + 8 - 46 = 3*i for r.
23
Solve 2*l + w + 27 - 4 = 0, -47*l - 3*w = -48*l - 22 for l.
-13
Solve -x - 11*w + 12 = 0, -1478*x + 1475*x + 2*w - 69 = 0 for x.
-21
Solve -6*m - 2*c = 24, 575904*c + 31 = -5*m + 575906*c for m.
-5
Solve -2*x + h + 55 = 0, 142665*x + h + 111 = 142669*x for x.
28
Solve 945*o - 18*k = 1895*o - 946*o + 44, 3*k = 2*o - 26 for o.
7
Solve 456*d - 452*d - 76 = p, -5*p = -2*d + 56 for p.
-4
Solve -2*u + 2*p = 20, 3*p = -565*u + 566*u + 14 for u.
-8
Solve -2*t = -t - 2*u - 21394 + 21445, 4*t + 2*u = -174 for t.
-45
Solve -71769*j + 35883*j = -35879*j + 3*r + 9, -3*j - 6 = 2*r for j.
0
Solve -c + 3 = -7*m + 19*m, -c + 48 = 11*m - 14*m for m.
-3
Solve 2*n = -0*x - 5*x + 69, -26*n = 17*n - 45*n - 45*x + 669 for n.
-3
Solve -30*c = 8*u - 32*c - 94, 2*u - c - 39 = 0 for u.
4
Solve 4*n - 184 = 0, 269*n = 3*t + 549*n - 275*n - 236 for t.
2
Solve 0 = v - 10*n + 18, -7*v - 2*n + 8 = -13 + 3 for v.
2
Solve -39366*s = 4*j - 39256*s + 436, -5*s - 24 = -4*j for j.
1
Solve 76 = -22*d + 26*d + 4*j, -4*d + 51*j = 749 for d.
4
Solve 0 = 5*n + g - 50, 603*n - 602*n = -44*g + 10 for n.
10
Solve 2*w = 2*f - 18, 1474*w + 6*f - 99 = 1471*w for w.
5
Solve -15*x + 5*g = 15, 2*x + 3*g - 2837392 = -2837438 for x.
-5
Solve 7*q - 4*a = 11*q + 92, -q - 5*a = -0*a + 59 + 36 for q.
-5
Solve 128972*k + 2*q = 128967*k - 65, 2*k = -4*q - 42 for k.
-11
Solve 3*f = -7*z - 2, 5468*f - 5463*f = -2*z - 13 for f.
-3
Solve d + 20 = w - 4*d, 4*w - 3317*d = -3313*d for w.
-5
Solve 96*z - 56 = 94*z + 2*c + 22 + 42, -4*z + c = -243 for z.
61
Solve -3*q + 4*v - 20 - 20 = -0*q, 0 = -2*q - 17*v + 52 for q.
-8
Solve -3*p + 5 = -4*m, -1862*p + 6 = 12*m - 1864*p for m.
1
Solve -5*p = -5*v + 45, 232*v - 231*v = -2*p + 5*p + 23 for v.
2
Solve 9*q = 2*r - 11, 7*r - 2*q + 0*q + 5*q + 422 = 357 for r.
-8
Solve 5*y - 23770*w + 90 = -11888*w - 11883*w, -3*y = -4*w + 54 for y.
-18
Solve 5*d + 1432*n = 1436*n - 137, -3*d = -8*n + 239 for d.
-5
Solve 33*n + 125 = 8*n - 2*t - t, 28 + 188 = 16*n - 4*t for n.
1
Solve -2*g - 8 = -y - 5 + 4, 22*g - 10*g + 15*y - 21 = 0 for g.
-2
Solve -4*f + 177 = 3*b + 153, 3*b - 12 = -2*f + 6 for f.
3
Solve 13*q = 15*q + 24*q + 5*u + 157, -1 = -2*q - 3*u - 0 for q.
-7
Solve 13*k + 50 = 13*k - 5*j, -2*j - 39 = -3*k + j for k.
3
Solve -6 + 9 = -4*y + 2*q - 99, -6*q - 6 = y for y.
-24
Solve 213*d = -717*o + 715*o - 498, -d - 4*o + 34 = -5*o for d.
-2
Solve v - 3*u = -66, 245765*v - 245764*v + 9*u = 198 for v.
0
Solve -8 = 11*w - g + 27 - 10, 9*w - 23*g + 24 = -21*g for w.
-2
Solve -256 = -16*z, 3873*z - 3871*z - 29 = 3*f for f.
1
Solve b + 5 = 0, 315*b - 310*b + 619 = 27*m for m.
22
Solve -c + 5292 = -4*q + 5312, -26*c - 2*q + 10 = -27*c for c.
0
Solve -k + 330 = -5*p, -231 = 3*p - 39*k + 45*k for p.
-67
Solve -3*f - 1498 = -2*f - 0*f - 4*z - 1491, -5*f = 2*z + 101 for f.
-19
Solve t = 18*i + 288, 5*i - 4*t + 48 = -23 - 9 for i.
-16
Solve -3*a - f - 4*f - 266 = 0, 10*a - 11*a = -2*f - 113 for a.
3
Solve -58*t - l - 24 = -61*t, -119*t + 640 = 3*l - 8*l for t.
5
Solve -54*g = 4*u - 55*g + 45, -u = 3*g + g - 180 for u.
0
Solve -4*z + 12*f - 28 = 0, z + 1892*f + 0 = 1889*f + 11 for z.
2
Solve -2*l - 9*u + 6*u + 73 = -10*l, -l - 12*u + 9*u = -1 for l.
-8
Solve -3*b = 2*n - 5* | {
"pile_set_name": "DM Mathematics"
} |
+ 0 + 0 + 131*q.
33*q
Collect the terms in 2*y**3 - 7*y**3 + 2*y**3 + 2*y**3.
-y**3
Collect the terms in 58*h**2 + 1 - 1 + 14*h**2.
72*h**2
Collect the terms in -19*h**2 - 35*h**3 + 19*h**2 + 37*h**3.
2*h**3
Collect the terms in 5138 + 4*a**2 - 5138.
4*a**2
Collect the terms in -7 + 7 - 2*q.
-2*q
Collect the terms in -33*r**2 + 0 + 0 + 13*r**2 + 25*r**2.
5*r**2
Collect the terms in 53*t - 26*t - 27*t - t**3.
-t**3
Collect the terms in 68*k**3 - 310*k**3 + 112*k**3.
-130*k**3
Collect the terms in 2*i**2 + 41*i**2 + 53*i**2.
96*i**2
Collect the terms in 12*y**2 + 9*y**2 + 9*y**2 - 25*y**2.
5*y**2
Collect the terms in 98*s**3 - 195*s**3 + 117*s**3.
20*s**3
Collect the terms in 31 + 36 - 67 - 4*q**3.
-4*q**3
Collect the terms in 96 + 7*j**3 - 96.
7*j**3
Collect the terms in 71*y - 7*y**2 - 3 - 142*y + 71*y.
-7*y**2 - 3
Collect the terms in -3*c**3 - c**2 + 2*c**2 + 52*c**3.
49*c**3 + c**2
Collect the terms in 5*n + 2*n - 12*n.
-5*n
Collect the terms in -7*w**2 + 177 - 89 - 88.
-7*w**2
Collect the terms in 3 + 0*t + 9 - 44 - 4*t.
-4*t - 32
Collect the terms in -149*c**3 - 147*c**3 - 140*c**3 + 470*c**3.
34*c**3
Collect the terms in -34*q**2 + 7*q**3 - 29*q**2 + 63*q**2.
7*q**3
Collect the terms in 3*v**2 + 2*v - 2*v.
3*v**2
Collect the terms in -22*a**2 + 9*a**2 + 7*a**2 + 10*a**2.
4*a**2
Collect the terms in 4*t**3 + 3*t**3 + 0*t**3 + 0*t**3.
7*t**3
Collect the terms in -15*m**3 + 20*m**2 - 20*m**2.
-15*m**3
Collect the terms in 2*d + d - 3*d - 32*d**2.
-32*d**2
Collect the terms in 2*b + 25*b - 3*b - 11*b.
13*b
Collect the terms in -37*l - 32*l + 58*l.
-11*l
Collect the terms in 42*o**2 - 2*o**3 - 2*o**3 - 42*o**2.
-4*o**3
Collect the terms in 31*w - 57*w + 29*w.
3*w
Collect the terms in 2*i**3 - 20076*i + 20076*i.
2*i**3
Collect the terms in -149 + 149 - 6*z.
-6*z
Collect the terms in 3 + 4 - 7 + 4*o.
4*o
Collect the terms in -22*r - 17*r - 24*r + 78*r - 16*r.
-r
Collect the terms in 125*k**3 - 126*k**3 + k - k.
-k**3
Collect the terms in -5*c + 5*c + 6*c + c.
7*c
Collect the terms in -187*g + 68*g + 51*g + 66*g.
-2*g
Collect the terms in 134*h**3 - 280*h**3 + 137*h**3.
-9*h**3
Collect the terms in -5*h + 21*h + 11*h.
27*h
Collect the terms in 280*q**2 + 6 - 6.
280*q**2
Collect the terms in -26*c**2 - 2 + 21*c**2 + 2.
-5*c**2
Collect the terms in -8*c**3 - 86*c**3 + 5*c**3.
-89*c**3
Collect the terms in 7*x + 10 + 2*x - 3*x.
6*x + 10
Collect the terms in -2*c**2 - 2 - 14*c + 2.
-2*c**2 - 14*c
Collect the terms in 2*u**2 + 36*u**3 + 31*u**3 - 6*u**3 - u**3.
60*u**3 + 2*u**2
Collect the terms in -184*a - 195*a + 387*a.
8*a
Collect the terms in -702*u - 11 - 6*u**2 + 702*u + 11.
-6*u**2
Collect the terms in -143*q + 15*q - 4*q.
-132*q
Collect the terms in 39*q - 21*q - 16*q.
2*q
Collect the terms in 624*y - 3 + 2 + 2 - 3.
624*y - 2
Collect the terms in 19*d + 12*d**2 - 10*d**2 - 19*d.
2*d**2
Collect the terms in -7 - 14 - 3*k**2 + 21.
-3*k**2
Collect the terms in -32*k**2 - k**3 + 24*k**2 + 8*k**2.
-k**3
Collect the terms in 6896 + 11*a - 6896.
11*a
Collect the terms in 0*t**2 - 11*t**2 + 34*t**2 + 3*t**3.
3*t**3 + 23*t**2
Collect the terms in -x + 9*x - x.
7*x
Collect the terms in -7*n - 81*n**2 + 7*n.
-81*n**2
Collect the terms in 19*l**2 - 10*l**2 - 13*l**2.
-4*l**2
Collect the terms in 30*z - 97*z + 32*z + 31*z.
-4*z
Collect the terms in -9*c**2 + 6*c**2 + c**2 - 3*c**2.
-5*c**2
Collect the terms in v**3 - 7*v**3 + 8*v**3.
2*v**3
Collect the terms in 11 - 22 - t**3 + 11.
-t**3
Collect the terms in 13*q - 13 - 11*q + 2.
2*q - 11
Collect the terms in -11*q + 15 - 15 + 10*q + 7*q.
6*q
Collect the terms in -l**2 - 2*l**2 - 5*l**2 + 5*l**2.
-3*l**2
Collect the terms in -4 + 4 - 16*u**3 - 4*u**3.
-20*u**3
Collect the terms in -8*t - 10*t - 2*t**2 + 9*t + 9*t.
-2*t**2
Collect the terms in 5*r**3 - 2*r**3 - 2*r**3 + 2*r**3.
3*r**3
Collect the terms in -17*a + 23*a**2 - 22*a**2 - 19*a + 36*a.
a**2
Collect the terms in -42*y**3 + 46*y**3 + 91*y**2 - 91*y**2.
4*y**3
Collect the terms in 32*i**2 - 60*i**2 + 26*i**2 + 4*i - 4*i.
-2*i**2
Collect the terms in 0 - 27*b + 0 + 2.
-27*b + 2
Collect the terms in 5*c**2 - 126*c + 126*c.
5*c**2
Collect the terms in -58*l + 163*l - 47*l - 56*l.
2*l
Collect the terms in 9*n**2 + 3*n**2 - 2*n**2 + 0*n**2.
10*n**2
Collect the terms in -5 - 36*j + 5.
-36*j
Collect the terms in 3*w - 3*w + 32*w**2 - 34*w**2.
-2*w**2
Collect the terms in 2*l - l - 17*l.
-16*l
Collect the terms in 16*b**2 + 27*b**2 + 11*b**2 + 14*b**2 - 94*b**2.
-26*b**2
Collect the terms in -2*p**2 + 2*p**2 + 1332*p**3 + 2*p**2.
1332*p**3 + 2*p**2
Collect the terms in -16*p**2 - 186198 + 186198.
-16*p**2
Collect the terms in 2*b + 10*b - 12*b - 31*b**2.
-31*b**2
Collect the terms in -9*b + 16*b - 82*b.
-75*b
Collect the terms in -5 - 19*l**3 + 2 + 5*l**3 + 3.
-14*l**3
Collect the terms in -5*f - 8*f**2 + 5*f + 3*f**2.
-5*f**2
Collect the terms in -y**2 + y**2 + 4*y**2 + 0*y**2.
4*y**2
Collect the terms in -97*l + 21*l + 163*l.
87*l
Collect the terms in -5*l - 5*l + 24*l - 12*l.
2*l
Collect the terms in 2*y**2 - 2*y + y + 2*y - y.
2*y**2
Collect the terms in 14*s - 11 - 14*s + s**2.
s**2 - 11
Collect the terms in -2*p**3 - 2*p**3 + 8*p**3.
4*p**3
Collect the terms in -3*q**2 - 72*q + 26*q + 33*q + 13*q.
-3*q**2
Collect the terms in 12*i + 3*i - 7 + 0 + 9*i.
24*i - 7
Collect the terms in 3*v + 0*v - v - 55.
2*v - 55
Collect the terms in 5*g**2 + 0*g**2 + 2*g**2 + g**2.
8*g**2
Collect the terms in -59*d - 200*d - 78*d.
-337*d
Collect the terms in 11*t**2 + 27*t**2 - 12*t**2 + 9*t**2.
35*t**2
Collect the terms in -3*c**3 - 14*c**3 - 16*c**3.
-33*c**3
Collect the terms in 2*a**2 + a**3 - 2*a**2.
a**3
Collect the terms in -74*g**2 - 70*g**2 + 211*g**2 - 67*g**2 - 6*g**3.
-6*g**3
Collect the terms in 4*v + v - 6*v - 389.
-v - 389
Collect the terms in 17*g + 15*g + 4*g.
36*g
Collect the terms in -8*k**2 - 5*k**2 - 14*k**2 + 22*k**2.
-5*k**2
Collect the terms in 2*c + 5*c - 4*c + 17*c**2.
17*c**2 + 3*c
Collect the terms in 9062 - 3*p - 9062.
-3*p
Collect the terms in -28*n**3 - 9*n**3 + 36*n**3.
-n**3
Collect the terms in 61 + 34 + 30 + v.
v + 125
Collect the terms in -291*d + 151*d + 139*d.
-d
Collect the terms in -1894 - 16*b + 0*b + 1894.
-16*b
Collect the terms in -25*g**2 - 588*g**3 + 584*g**3 + 25*g**2.
-4*g**3
Collect the terms in 5*y + y - 6*y**2 - 6*y.
-6*y**2
Collect the terms in -i**3 - 19*i + 19*i + 6*i**3.
5*i**3
Collect the terms in 5 + 36*c**3 + 24*c**3 - 5.
60*c**3
Collect the terms in -4*t**2 + 673 - 673.
-4*t**2
Collect the terms in 13*r**3 + 14*r**3 + 7*r**3.
34*r**3
Collect the terms in 5*q**2 + 86 - 41 - 45.
5*q**2
Collect the terms in 2*x - 32*x - 11*x.
-41*x
Collect the terms in -4417*i - 46 + 46.
-4417*i
Collect the terms in -926*v + 25*v**2 - 22*v**2 + 926*v.
3*v**2
Collect the terms in -15*b**3 - 10*b**3 + 39*b**3 - 15*b**3.
-b**3
Collect the terms in 34*a**2 - 53*a**2 - 4*a**2 - 47*a**2.
-70*a**2
Collect the terms in 10*x**3 - 2*x**3 - 3*x**3 - 9*x**3.
-4*x**3
Collect the terms in 48*t - 184*t - 22*t.
-158*t
Collect the terms in 2 - 2 - 501*i.
-501*i
Collect the terms in 52*r + 85*r - 4*r.
133*r
Collect the terms in 328 + 4*n - 328.
4*n
Collect the terms in p**2 + 43859 - 43859.
p**2
Collect the terms in 12*z - 12*z - z**2 - 3*z + 3*z.
-z**2
Collect the terms in -2 - 7*t - 24 - 17.
-7*t - 43
Collect the terms in 1138 - 1138 - 6*t**3.
-6*t**3
Collect the terms in h**3 + 3*h**3 + 3*h**3 - 2*h - 10.
7*h**3 - 2*h - 10
Collect the terms in -8 + 7 + 1 + 7*t**2.
7*t**2
Collect the terms in 2*f**3 - 10181*f**2 + 10181*f**2.
2*f**3
Collect the terms in -115*m**2 + 73 + 119*m**2 - 73.
4*m**2
Collect the terms in y**2 - 2788100 + 2788100.
y**2
Collect the terms in 3*d - d - 5*d - d.
-4*d
Collect the terms in -4 - 60*y**2 - 442*y**2 + 4.
-502*y**2
Collect the terms in -29*o**2 + 34*o**2 + 0*o**2.
5*o**2
Collect the terms in 9*u**3 + 341*u - 340*u - u**3.
8*u**3 + u
Collect the terms in -15*f**3 + 2*f**3 - 10*f**3.
-23*f**3
Collect the terms in 8*h + h - 4*h.
5*h
Collect the terms in 0 + 8*p**3 + 8 - 9*p**3 - 8.
-p**3
Collect the terms in -256*k**2 + 256*k**2 - 31*k**3 + 29*k**3.
-2*k**3
Collect the terms in 162 + 23*i**2 - 80 - 82.
23*i**2
Collect the terms in -5*d + 398 - 398.
-5*d
Collect the terms in -4*c**3 + 3*c**3 + 10*c**3.
9*c**3
Collec | {
"pile_set_name": "DM Mathematics"
} |
54798159 + p.
39*p**2 + p - 2
Collect the terms in -962937*q - 850567*q - 9 + 9.
-1813504*q
Collect the terms in 495251*m + 4*m**2 - 495251*m.
4*m**2
Collect the terms in 0*x + 8975329*x**3 + 0*x - 8973251*x**3.
2078*x**3
Collect the terms in 2014622*w**2 + 6241*w**2 + 220933*w**2.
2241796*w**2
Collect the terms in -110 - 16 + 27 - 13410*t.
-13410*t - 99
Collect the terms in -17532*x**3 - 243*x - 235*x + 717*x - 239*x.
-17532*x**3
Collect the terms in 13 + 21 - 34 + 20795*n**2.
20795*n**2
Collect the terms in -560234*s + 1120616*s - 560377*s.
5*s
Collect the terms in 69257*z**2 - 35219*z**2 - 35185*z**2.
-1147*z**2
Collect the terms in -14 + 14 - 11141409*s + 11141409*s + 18*s**3 + 12*s**3.
30*s**3
Collect the terms in 13867*s - 28453*s + 13703*s.
-883*s
Collect the terms in -5 + 2012*p**2 + 3 + 185*p - 185*p.
2012*p**2 - 2
Collect the terms in 16 - 15 - 12*p + 1 - p.
-13*p + 2
Collect the terms in 593*f**3 - 6225*f**3 - 7464*f**3.
-13096*f**3
Collect the terms in 1492195*q - 4 + q**2 - 1492195*q + 336*q**3 + 4.
336*q**3 + q**2
Collect the terms in 6964*u - 9 - 11 - 12 + 33 - 6960*u.
4*u + 1
Collect the terms in -1693*i**2 + 361 + 2072*i**2 - 182 - 179.
379*i**2
Collect the terms in -38261*h + 77325*h - 37872*h.
1192*h
Collect the terms in 3360*d**3 + 3456*d**3 + 0*d**2 + 0*d**2 - 4482*d**3.
2334*d**3
Collect the terms in 29 + 1145*x**3 - 539*x**3 - 29 + 2123*x**3.
2729*x**3
Collect the terms in 19*y**3 - 27*y**3 - 358027 - 38*y**3 + 358027.
-46*y**3
Collect the terms in -4 - 1038*p + 4 + 1 + 3152*p - 1050*p - 1041*p.
23*p + 1
Collect the terms in -446 + 203 - f**2 + 10*f**2 + 6*f**2 - 18*f**2 + 243.
-3*f**2
Collect the terms in -790790*m - 115252*m - 11653*m - 415948*m.
-1333643*m
Collect the terms in -3972*x + 672*x + 3 + 914*x - 3.
-2386*x
Collect the terms in 3678*b**2 - 54*b**3 - 135358*b - 3 + 135358*b - 3678*b**2 + 3.
-54*b**3
Collect the terms in 42*u - 104527*u**3 + 104525*u**3 + 5*u.
-2*u**3 + 47*u
Collect the terms in 4704 + 24*t**2 + 4617 - 9328 + 15*t**2.
39*t**2 - 7
Collect the terms in -y + 0*y**3 - 2*y**3 + 2*y**3 + y**3 + 362 - 728*y**2.
y**3 - 728*y**2 - y + 362
Collect the terms in -3353 + 1111 + 4*f**2 + 1032 + 1099 - f.
4*f**2 - f - 111
Collect the terms in 112*b + 38*b - 873 + 247*b + 873.
397*b
Collect the terms in 4848*q + 445 - 223 - 222.
4848*q
Collect the terms in 57 - 13 - 99045*p - 34 - 10.
-99045*p
Collect the terms in -25 + 3*a**2 + 58 + 2408*a**3 - 34 - 3*a**2.
2408*a**3 - 1
Collect the terms in -1962576 + 217*l + 1962576 - 1851*l.
-1634*l
Collect the terms in -6*z - 518*z**2 - 44*z - 43*z + 524*z**2.
6*z**2 - 93*z
Collect the terms in -1825*a**3 - 219009 + 219009.
-1825*a**3
Collect the terms in -240*f + 127*f + 127*f**2 + 116*f.
127*f**2 + 3*f
Collect the terms in 91 - 56814715*b - 56814715*b + 113629431*b.
b + 91
Collect the terms in 28663*b - 69042 + 69042.
28663*b
Collect the terms in 50*b - 25*b - 135 + 36*b + 6645.
61*b + 6510
Collect the terms in 506867037934 - 506867037934 - 18*y**3.
-18*y**3
Collect the terms in -1 + 1 - 962*i**2 + 5016258*i + 5016265*i - 10032523*i.
-962*i**2
Collect the terms in -98 - 59*y**2 - 93 - 101 - 91 + 385.
-59*y**2 + 2
Collect the terms in 7192544*t - t**3 + 66*t**3 - 7192544*t.
65*t**3
Collect the terms in -32*g - 2293 + 4589 + 38*g - 2298.
6*g - 2
Collect the terms in -534205 + 534205 - 14*w + 2*w.
-12*w
Collect the terms in 1914319*q + 1 - 1.
1914319*q
Collect the terms in -x**2 + 21041 - 57*x + 54*x - 21041 + 47*x.
-x**2 + 44*x
Collect the terms in 3251 + 901531*k - 3251 - 901562*k.
-31*k
Collect the terms in -481*r**2 + 46*r**2 + 223*r**2 + 222*r**2.
10*r**2
Collect the terms in -55*a + 201 - 607 - 193.
-55*a - 599
Collect the terms in -36*r + 9 - 395*r**2 + 2 + 0*r**3 - 2*r**3.
-2*r**3 - 395*r**2 - 36*r + 11
Collect the terms in 6*o**2 + 1163572*o - 581820*o - 581735*o.
6*o**2 + 17*o
Collect the terms in -25*s**2 + 39*s**2 - 16*s**2 - 52636*s**3.
-52636*s**3 - 2*s**2
Collect the terms in -10*s - 387 + 2112 - 436 - 427 - 426 - 431.
-10*s + 5
Collect the terms in -9*t**2 - 525393*t**3 - 4*t + 6*t - 2*t.
-525393*t**3 - 9*t**2
Collect the terms in -107 + 393 + 7*j**2 - 127 - 174 - 100.
7*j**2 - 115
Collect the terms in 337*o**3 - 8712276*o**2 + 8712281*o**2 + 46*o - 46*o.
337*o**3 + 5*o**2
Collect the terms in c - 27*c - 9*c**3 - 8*c**3 + 9*c**3 - 16*c**3.
-24*c**3 - 26*c
Collect the terms in -1792*u**3 + 0*u - 7413*u**3 + u - 250*u**2 + 250*u**2.
-9205*u**3 + u
Collect the terms in 43*b**3 + 2474*b**3 + 1659*b**3.
4176*b**3
Collect the terms in 208302*z**2 - 104155*z**2 + 6*z - 104153*z**2.
-6*z**2 + 6*z
Collect the terms in 123*s**2 + 141*s**2 - 315*s**2 - 92*s**2 + 145*s**2.
2*s**2
Collect the terms in -8527*n**3 - 1769*n**3 - 1547*n**3 - 1978*n**3 - 1680*n**3.
-15501*n**3
Collect the terms in -2269*w**3 - 3758*w**2 + 3758*w**2 - 9058*w**3.
-11327*w**3
Collect the terms in -14*b + 14 - 268*b - 115*b + 34*b - 2.
-363*b + 12
Collect the terms in 2270171*a - 1135030*a - 1135045*a.
96*a
Collect the terms in 422*c - 220*c + 743*c + 685*c + 568*c - 28*c.
2170*c
Collect the terms in 99748*p**2 - 199433*p**2 + 99671*p**2.
-14*p**2
Collect the terms in 28 + 6645*z + 29 + 32 - 114 + 26.
6645*z + 1
Collect the terms in 69*h + 448*h - 15 + 318*h - 162*h + 15.
673*h
Collect the terms in 24525*j**2 - 49042*j**2 + 24542*j**2 + 3*j.
25*j**2 + 3*j
Collect the terms in 5540305 + 6*x**2 - 1846812 - 1846742 - 3*x**2 - 1846751.
3*x**2
Collect the terms in -262*q + 43*q - 185*q - 10*q + 13*q**2.
13*q**2 - 414*q
Collect the terms in -14655*c**3 + 28985*c**3 - 13839*c**3.
491*c**3
Collect the terms in 6578 + 6511 + 38408*z**3 - 13089.
38408*z**3
Collect the terms in -2077*r + 680*r + 529*r + 869*r.
r
Collect the terms in -429704 + 859551 - 429849 - 8*n**2.
-8*n**2 - 2
Collect the terms in 4108*d + 4118*d + 4114*d + 4120*d + 4113*d - 20571*d.
2*d
Collect the terms in 3540*q**2 - 3540*q**2 - 399022*q**3.
-399022*q**3
Collect the terms in -1057298*i**3 + 41*i**2 - 41*i**2.
-1057298*i**3
Collect the terms in -1303*s + 2898*s**3 + 7861*s**3 + 2*s**2 - 10757*s**3 + 1303*s - 2*s**2.
2*s**3
Collect the terms in -1 + 905*a**3 - 63349*a**2 + 63349*a**2.
905*a**3 - 1
Collect the terms in -6237*o**2 + 18693*o**2 - 6237*o**2 - 6231*o**2.
-12*o**2
Collect the terms in 10029*i + 10023*i + 10022*i + 10005*i - 40106*i.
-27*i
Collect the terms in -90*l**3 - 111*l**3 - 78*l**3 - 98*l**3 + 407*l**3 - 80*l**3.
-50*l**3
Collect the terms in -1272*u - 12 - 7 - 1454*u + 4 + 2728*u.
2*u - 15
Collect the terms in 41*x - 210*x**3 + 72*x + 429*x**3 - 221*x**3.
-2*x**3 + 113*x
Collect the terms in -226*w - 233*w + 1051 + 705*w - 232*w - 1049.
14*w + 2
Collect the terms in 115659 + 2769*f**2 - 2770*f**2 + 10593 + 598885.
-f**2 + 725137
Collect the terms in u**2 + 5729*u**3 + 2059*u**3 + u**2 - 7820*u**3 - 5*u**2.
-32*u**3 - 3*u**2
Collect the terms in -2062 + 52*i**3 - 36*i**3 - 3*i + 6194 - 2067 - 2064 + 3*i.
16*i**3 + 1
Collect the terms in -170 + 4*m**3 - 96 + 193.
4*m**3 - 73
Collect the terms in 120*b + 127*b + 123*b - 501*b + 131*b + 794*b**2.
794*b**2
Collect the terms in 5*w + 3 - 6 + 5 - 4 + 509949*w**3.
509949*w**3 + 5*w - 2
Collect the terms in -2021324*h**3 + 673764*h**3 + 673769*h**3 + 673774*h**3.
-17*h**3
Collect the terms in 30830*x - 5432*x + 25209*x.
50607*x
Collect the terms in -8062 - l - 8172 - 8070 + 32371 - 8067.
-l
Collect the terms in -1416*t - 1253*t + 4077*t - 1412*t.
-4*t
Collect the terms in -3*x - 3*x - 1335883150 + 5*x + 1335883150 + x - 3*x.
-3*x
Collect the terms in 2912*b**2 + 0 - 4 - 10 + 12 - 2893*b**2.
19*b**2 - 2
Collect the terms in 3 - 5 + 2 + 27206*r**2.
27206*r**2
Collect the terms in 38772*q**3 - 1617*q**3 - 2946*q**3.
34209*q**3
Collect the terms in -8781 - 8576 + 8*y**2 + 17*y + 17358.
8*y**2 + 17*y + 1
Collect the terms in -295147*i**2 - 4232*i**2 - 100521*i**2 - 152487*i**2.
-552387*i**2
Collect the terms in 1 - 7 + 8 + 16*x - 61*x - 3 + 27*x.
-18*x - 1
Collect the terms in 223884402742*h**2 - 223884402742*h**2 + 3*h**3.
3*h**3
Collect the terms in 2*b**2 + 2264967710*b**3 - 2264967715*b**3 - 2*b**2.
-5*b**3
Collect the terms in -10256*k**2 + 8096*k**2 - 15107*k**2.
-17267*k**2
Collect the terms in 6938147 - 3469069 + 0*g - g - 3469078.
-g
Collect the terms in 110983*h - | {
"pile_set_name": "DM Mathematics"
} |
687. What is the units digit of b?
9
What is the units digit of (-4)/30 - (-7 + ((-468244)/30 - 6))?
1
Suppose -330 = -6*w + w. Suppose -3*j = 9, -5*n + 8*j - 6*j - 119 = 0. Let z = w - n. What is the units digit of z?
1
Let l be 2*2/(-12) + (-112)/24. Let y(o) = -4*o + 6. Let b be y(l). Let a(m) = -m**2 + 34*m - 27. What is the tens digit of a(b)?
8
Let v = 57 - 47. Suppose q = -3*b + 127, -4*b + q + 157 = -v. What is the units digit of (2 + (-544)/6)*b/(-28)?
3
Let h(p) = p**3 + 12*p**2 + 13*p + 29. Let g be h(-14). Let o = 93 - g. What is the tens digit of o?
3
Suppose -21*r + 424688 - 189665 = -944547. What is the thousands digit of r?
6
Let j(a) = 521*a - 1294. What is the hundreds digit of j(13)?
4
Let q(x) = -x**3 + 70*x**2 + 26*x - 10. What is the units digit of q(18)?
6
Suppose 2*h - 5409 = -4*j - 1655, -5*h + 9450 = -3*j. Suppose 0 = 17*g - 14*g - h. What is the hundreds digit of g?
6
Suppose -5*q + 8*q + 5*v + 207 = 0, -2*q - 119 = -3*v. Let s be ((888/(-4))/(1 - 3))/1. Let h = s + q. What is the units digit of h?
7
Suppose 2*b = b + 96. Suppose 7*l + 84 = 21*l. Suppose 2*u = l*u - b. What is the units digit of u?
4
Let u = 18 + -2. Let b = u + -13. What is the units digit of 67 + (b - (-10)/(-5))?
8
What is the tens digit of ((-2663)/7)/(94/(-2632))?
5
Let m(w) = 22*w**2 - 19*w - 85. Let h be m(-7). Let s = 1736 - h. What is the tens digit of s?
1
Let u(h) = -2*h**2 - 27*h + 23. Let c = -36 + 24. Let t be u(c). Suppose -27 = -2*w + t. What is the units digit of w?
3
Let a(y) = y - 19. Let r be a(-1). What is the tens digit of 42*-2*35/r?
4
Suppose -5*w + 80*s + 184656 = 78*s, 5*s + 73896 = 2*w. What is the tens digit of w?
2
Suppose -4*r = -4*c - 114548, 24*c = -3*r + 19*c + 85863. What is the ten thousands digit of r?
2
Suppose -4*n - r = -17, n + r = 6 + 2. Suppose -n*s = -2*y + 1, 0 = -4*s - 2*y + 7 + 1. Let o(j) = 179*j - 1. What is the units digit of o(s)?
8
Let l(j) = j**3 - 2*j**2 - 7. Suppose 0 = -7*w + 2*w - i + 30, 0 = 4*w - 4*i. Let f be l(w). What is the units digit of (51/34)/(139/f - 2)?
4
Suppose -5*s - 22 = 3, 4*s = k - 809. What is the tens digit of k?
8
Let c(b) = 379*b + 265. What is the hundreds digit of c(6)?
5
Let h be (2 + -8)*7/(-14). Let s be (-4)/(h + 2 - 4). What is the hundreds digit of (102 - s)*(-1 + 3)?
2
Let y(s) = s**3 + 5*s**2 - s - 1. Let n be y(4). Let q be (-2053)/(-7) - (-6)/231*-11. Suppose n + q = 3*h. What is the hundreds digit of h?
1
Let z = 1063 - 151. Suppose -i - z = -3*i. What is the hundreds digit of i?
4
Let n = 4709 + -3550. What is the units digit of n?
9
Let f = 1419 - -940. What is the tens digit of f?
5
Suppose -2*f - 3*w + 1882 + 902 = 0, -5588 = -4*f + 4*w. What is the hundreds digit of f?
3
Suppose -9*w - 31 + 4 = 0. Let g = w + 2. What is the units digit of (3 + 0/(-2) - -38) + g?
0
What is the thousands digit of ((80/(-30))/(-4))/((-6)/(-153009))?
7
Let v = -13843 - -28885. What is the hundreds digit of v?
0
Suppose -8*j - 6120 = 5*g - 5*j, 3672 = -3*g - 2*j. What is the tens digit of 2*(g/(-5) + 8/(-10))?
8
Let l be (-8)/((-280)/(-651)) + 6/10. Let t = l + 17. Let y(k) = -80*k**3 + k**2 + 4*k + 3. What is the tens digit of y(t)?
8
Let t(l) = -l + 7. Let k = -52 + 72. Suppose -k = 7*a - 5*a. What is the units digit of t(a)?
7
Let x(j) = -5*j + 27. Let q be x(-7). Suppose 0 = 2*m - 10 - q. What is the tens digit of (1 - -3)*603/m?
6
Suppose -2*p - 4*w = -12654, -87*p + 90*p = -5*w + 18976. What is the thousands digit of p?
6
Suppose -79*q + 105*q - 473484 = -99162. What is the hundreds digit of q?
3
Let t(o) = o**3 - 60*o**2 - 229*o - 155. What is the hundreds digit of t(65)?
0
Suppose -100*x + 6 = -98*x. Suppose x*c = -3*k + 420, 3*k + 2*c + 75 = 490. Suppose k = 6*q - 273. What is the tens digit of q?
6
Suppose s - 4236 = -0*s + n, -2*n = 2*s - 8488. What is the tens digit of s?
4
Suppose -4*v = -v + 2*a - 53, 3*a - 12 = 0. Let h be ((-48)/(-20))/(v/50). What is the tens digit of 2/h*103 - (-5)/20?
2
Let q(j) = -544*j**3 - 9*j**2 - 19*j - 11. What is the ten thousands digit of q(-5)?
6
Let f = -61 - -97. Let x be 24/f + 16/(-6) + 1. What is the tens digit of (75 - x) + (-1 - (0 - 1))?
7
Let h(r) = -r**3 - 8*r**2 + 8*r - 8. Let c be h(-9). Let z be c/((-3)/(18/(-2))). Suppose 0 = z*g + 9, -b + 165 = b + g. What is the units digit of b?
4
Suppose 5*r - 4*v - 55 = 0, -3*r + 4*r + 8 = -3*v. Let j(d) = d**3 - 7*d**2 - 7*d + 19. Let l be j(r). What is the tens digit of (l/4 - -2)*(-68)/2?
8
Let p be 8/(-56)*-1 - 197314/(-14). Suppose p = -14*o + 43*o. What is the units digit of o?
6
Let t(r) = 5*r**2 - 46*r + 112. What is the units digit of t(39)?
3
Suppose 3*s = -7 - 8. Let l be 24 + (s - -3)*(-1)/2. Suppose -5 + l = g. What is the tens digit of g?
2
Let s = 22 + -24. What is the tens digit of ((6/(-3))/s)/(1/1591)?
9
Let r(j) = 841*j**2 + 135*j + 1175. What is the ten thousands digit of r(-8)?
5
Let q be 682/4 - ((-324)/(-24))/(-9). Let p = 358 - q. What is the tens digit of p?
8
Suppose -7*d - 10247 = -2*l - 12*d, -20489 = -4*l - 5*d. Suppose 0 = -17*f + 3583 + l. What is the tens digit of f?
1
Let r(i) = 3*i**2 - 13*i. Let t be (10/(-35))/((-2)/7). Let k(a) = a. Let n(c) = t*k(c) + r(c). What is the units digit of n(9)?
5
What is the units digit of (-58)/(-3)*(-170 + 518)?
8
Let r = -135 - -127. Let x(v) = -15*v**2 - 27*v - 107. Let h(t) = -7*t**2 - 14*t - 53. Let k(w) = -9*h(w) + 4*x(w). What is the units digit of k(r)?
7
Let u(q) = -4*q - 22. Let s be u(15). Let i = 46 + s. What is the hundreds digit of (-7228)/i + 5*(-8)/(-180)?
2
Let r(f) = 36*f - 2. Let s be r(2). Suppose 3*a + s - 25 = 0. Let q = a - -37. What is the units digit of q?
2
Suppose 0 = -4*n - 3*u, n + 2*n + u = 0. Suppose 25*t + 5*r = 20*t + 1090, t - 5*r - 200 = 0. What is the units digit of t/2*(n + 2)?
5
Let k be -279*(745/45 - 8/36). What is the hundreds digit of -3*k/117 - 2/(-13)?
1
Let u(x) = -79*x**2 + 6*x + 14324. What is the hundreds digit of u(0)?
3
Suppose -5*q = 3*d - 286047, 14*q + 171651 = 17*q - 2*d. What is the thousands digit of q?
7
Let t be (20/(-15))/(1/((-3)/2)). Let k(n) = -5*n**2 - 20 + 2*n + 29 - 15 + 4*n**t + n**3. What is the tens digit of k(4)?
5
Suppose 4*m = -2*p + 362522, 157*m - 2*p + 90644 = 158*m. What is the hundreds digit of m?
6
Let t(f) = -f**2 + 24*f - 17. Let y be t(22). Suppose -48*o + y = -6693. What is the hundreds digit of o?
1
Let w = 18726 - 10119. What is the tens digit of w?
0
Suppose 0 = 5*r + 2*r - 91. Suppose -r*n + 4*n - 4392 = 0. What is the units digit of n/(-10) + -4 + (-105)/(-25)?
9
Suppose 514*u - 10734798 - 26444364 = 0. What is the ten thousands digit of u?
7
Let f = -81 + 84. Suppose -t + z = -0 + 5, 0 = -f*t + z - 17. What is the units digit of t/9 - 143/(-3)?
7
Let c(d) = -d**3 + 6*d - 28 - 2*d - 14*d**2 + 19*d**2 + 12. Let t be c(5). Suppose -w + 2*w = -2*q + 102, t*w - 4*q - 360 = 0. What is the tens digit of w?
9
Suppose -q - 4445 = -31568. What is the hundreds digit of q?
1
Let f be 10/(-4) + (-56)/(-16). Let y(m) = 10*m**3 - m**2 + m. Let z be y(f). What is the hundreds digit of 15/z*-2 + (165 - 1)?
1
Suppose 2*d - 6 + 12 = 0. Suppose -6*w + 0*w = -3*w. What is the units digit of 129/3 - (-1 + w)*d?
0
Let p be 2879/7 + (-253)/77 + 3. Let y = 1310 - p. What is the hundreds digit of y?
8
Let q(d) = -d**3 - 2*d**2 + 4*d + 7. Let u be q(-3). Let y(t) = 3*t - 11. Let s be y(u). What is the units digit of (s - -193) + 5 + -9?
0
Let i(n) = -n - 51. Let s(w) = w - 2. Let k(t) = -i(t) + 4*s(t). What is the units digit of k(-8)?
3
Let k(y) = y**2 + 7*y - 5. Let q be k(-8). Suppose -2*j + 6625 = q*j. What is the tens digit of j?
2
Let f(j) = -6*j - 36. Let b be f(-6). Suppose 2*i = -5*o - 2928, b*o + 2*o = -5*i - 7341. What is the tens digit of i/(-26) - (-6)/4?
5
Let v(u) = -u. Let x(c) = c**3 + 2*c**2 - 11*c - 18. Let y(w) = -2*v(w) - x(w). What is the hundreds digit of y(-9)?
4
Let y(d) = -d**3 + 125*d**2 + 41*d + 650. What is the units digit of y(124)?
0
Let z(s) = 314*s**2 + 4*s + 5. Let p(x) = 315*x**2 + 3*x + 3. Let l(u) = 3*p(u) - 2*z(u). What is the units digit of l(-1)?
5
Let w(s) = -3*s**2 + 2*s**3 + 16*s - 1 - 17*s + 0*s**2. What is the units digit of w(3)?
3
Let r = 8616 + 997. What is the units digit of r?
3
Suppose -2*r + 1283 = - | {
"pile_set_name": "DM Mathematics"
} |
8). Is (-6)/r*(-8972)/(-2) prime?
True
Suppose 27764 = 8*g - 45252. Is g prime?
True
Let d be ((-25)/10 - -5)/((-1)/(-2)). Suppose 3*q - 6*q + 4*u = -2239, -u + 3770 = d*q. Is q a prime number?
False
Let i = -25 + 29. Is (-1)/(i/3) - (-21450)/120 a prime number?
False
Suppose 37 = -2*z - j, 3*z + 5*j + 72 = 27. Let k be (z + -182)/(2/(-17)). Suppose 6*b + 5*c = 3*b + 1008, -5*b = -4*c - k. Is b prime?
False
Let o be (-109)/(-2) - (-1)/(-2). Suppose 4*p + 7*p = 11. Let h = o + p. Is h a composite number?
True
Is (-209)/(-22)*(0 - -622) a composite number?
True
Let j be (7 - 3)*(3 - (-18)/(-8)). Is j + (-4 - 1072/(-4)) a composite number?
True
Let s(x) = x**3 + 6*x**2 + 4*x - 3. Let k be s(-5). Suppose -y = k*y - 297. Let f = y - 46. Is f composite?
False
Let q = 0 - -3. Let t(j) = 20*j + 3*j - j - 5 - q*j. Is t(4) a composite number?
False
Suppose -8*q = -4*q + d - 16, -3*q + 4*d = 7. Suppose s = 5*t - 10, q*t = -s + 18 + 4. Suppose -2*k + 875 = k - 2*u, -5*u = -s. Is k composite?
False
Let v(r) = -747*r + 12. Is v(-3) prime?
False
Let s(c) = 27*c**2 + 22*c + 47. Is s(-18) a composite number?
True
Let z(o) = 577*o**3 + 6*o**2 - 7*o - 23. Is z(4) a composite number?
False
Let w be -2 + 3 - (-3 - (-3 + 7)). Suppose -w*y = -y - 259. Is y prime?
True
Let j(v) = 7*v + 25. Let x be j(-11). Let h = -42 - x. Is h prime?
False
Suppose 20*w - 121375 - 89285 = 0. Is w a prime number?
False
Let y = 343 + 646. Suppose -v + y = -5*m, m = 4*m. Is v prime?
False
Suppose 4999*r - 5014*r + 342135 = 0. Is r a prime number?
False
Let y = 113 + -120. Let i(w) = 10*w**2 + 17*w. Is i(y) a composite number?
True
Suppose 4*u + 4*t = -16, -3*u = 4*t + t + 20. Suppose u = -5*r - 5. Is 406 + 3 + (-1 - r) composite?
False
Suppose 6*u - 488 = 2*u. Let h(g) = -6*g - 6. Let l be h(-9). Let r = u - l. Is r a prime number?
False
Let n = 670 + 28. Let a = n - -1401. Is a prime?
True
Let i = -4 + 10. Let r be -636*(15/(-6) - -2). Suppose -r = -i*q + 3*q. Is q prime?
False
Let d(h) = -h. Let o be d(-5). Suppose -4*g - 2683 = p, 0*g - o*g + 5*p - 3385 = 0. Let f = -263 - g. Is f a prime number?
True
Suppose -3*t + 2*t = 3*q - 50762, -84608 = -5*q + 3*t. Is q composite?
False
Let i be 6/(-10) - 11406/(-10). Let p be i/8 - 4/(-8). Let t = p + 164. Is t composite?
False
Let s = 2 - 5. Let f be s/1 + 11 - 0. Let y(u) = 7*u + 3. Is y(f) composite?
False
Suppose 5*s + 496818 = 23*s. Is s a composite number?
True
Suppose 4*l - 3*d - 8180 = 3*l, 4*l + 5*d - 32703 = 0. Suppose l = 5*b - 2*s, 2*s = 5*s - 12. Is b composite?
False
Let p = 7536 + -4230. Let o = -1585 + p. Is o a composite number?
False
Let a = -69 + 4. Let f = 87 + a. Is f composite?
True
Suppose 5*b - 4*m = 61, -m + 0*m = 4. Suppose -3*k = c - 5*k - 108, 4*k = 8. Let v = c - b. Is v a prime number?
True
Suppose -406 = z - 5739. Is z a composite number?
False
Let p be 0 + 2 - (-2 - -108). Suppose 30*v - 34*v - 12 = 0. Is v + 7*p/(-4) a prime number?
True
Let b be 0*(-1 + 3/2). Suppose -203 = -4*t + 3*d, b*d - 103 = -2*t + d. Is t composite?
False
Let p be (-5 - -5) + -3 + 0. Is p - 3*(-708)/9 prime?
True
Suppose 0*m + 9010 = 2*m + 4*a, -5*m - 4*a = -22543. Let w be (-4 - -5) + 6/3. Suppose 0 = -2*u - v + 1800, -8*u + 3*v = -w*u - m. Is u composite?
True
Is 52/2*(-3114)/(-36) prime?
False
Suppose 6*p = 14101 + 7973. Is p a prime number?
False
Suppose -12 = -4*s - 0*s. Suppose u + 4*u + 170 = 5*h, 138 = -4*u + s*h. Is -3 + 0 + (0 - u) prime?
False
Suppose 0 = 2*i + 3*s - 23, -64 = -5*i - 4*s + 3*s. Let h = -7 + i. Is (-3)/h + 839/2 prime?
True
Let a = 3103 + -1075. Suppose 0 = 5*q - a + 373. Is q a prime number?
True
Let c be -25*3/(-30)*-8. Let z be (c/(-8))/((-2)/(-456)). Suppose 4*r + 2*w = z, -165 = -r - 2*w + 6*w. Is r prime?
False
Let n(d) = -d**2 + 3*d. Let a be n(4). Let g be 44/(-3) + a/(-6). Let i(v) = -v**2 - 22*v - 19. Is i(g) prime?
False
Let b(j) = 241*j + 214. Is b(43) a composite number?
True
Suppose -2152*n - 12035 = -2157*n. Is n prime?
False
Let d(o) be the first derivative of 3*o**3 + o**2 - 10*o - 5. Is d(-5) prime?
False
Let s = 4433 - -4830. Is s composite?
True
Is (11 + (-543127)/(-39))/((-4)/(-6)) composite?
True
Suppose 3*o = 2*m + 15159, 2*o - 10*m - 10111 = -7*m. Is o prime?
True
Suppose -5*w - 5*s + 385965 = 0, -21*w + s = -18*w - 231563. Is w a composite number?
True
Suppose 42*q - 100511 = 322891. Is q prime?
False
Suppose -4*s + q = -1723, 2*s + 0*s - 860 = 2*q. Let b = s - -6. Is b composite?
True
Suppose 3*w - 9 = -4*i + 2, 0 = -2*w + 2*i - 16. Let p be (8 + w)/(1/1). Suppose 277 = u - 2*q, q = 2*q - p. Is u a composite number?
True
Suppose 2*u - 5*o + o = 4, -o = -4*u + 8. Let q(a) = -16*a + 20*a + 0*a + 5*a**u + 20*a - 27. Is q(16) prime?
True
Suppose 46 = 2*q + i + 175, -2*q - 2*i - 132 = 0. Let a be (q/12)/((-2)/392). Suppose 5*j + n = a + 659, -j - 5*n = -352. Is j prime?
True
Is (-9)/2 - 3/(-6) - -1781 a composite number?
False
Let y be (-23)/(-6) + -5*(-3)/90. Suppose 0 = 2*v + y*w + 1025 - 3359, 0 = -5*w - 5. Is v a composite number?
True
Let n = 1 - 11. Let k be (-610)/(-2) - 0/n. Is k/(3/3*1) a composite number?
True
Let n = -13 + 8. Let k(x) = -x + 5. Let z be k(n). Is 15/z*(-1218)/(-9) composite?
True
Let a(t) = -7*t - 24. Let p be a(-4). Let k(h) = h**3 - 3*h**2 + 4*h - 2. Let w be k(3). Is 17/p*(w + -2) prime?
False
Suppose 0 = c + s - 9, -1 = -3*c + 2*s + 1. Suppose h = -c*r + 123, r - 6*r = 20. Is h a prime number?
True
Suppose 22488 = 4*n - 4*j - j, 4*n = 4*j + 22492. Is n a composite number?
True
Is 2/(-8) - (-156064)/128 a prime number?
False
Let d(j) be the second derivative of -j**5/60 + 113*j**3/6 + 2*j**2 - j. Let f(h) be the first derivative of d(h). Is f(0) a prime number?
True
Let s(j) = -7*j**3 - 13 + 8*j**2 + 7*j + 6*j + 6*j**3. Let f be s(9). Suppose y = -f + 114. Is y a composite number?
True
Suppose 4*j = -5*u - 92, -10 = u + 4*j + 18. Is (-2 - 55)*u + -1 composite?
False
Is 500015/55 + 2/(-11) prime?
True
Let b(v) = -2 - 4 + 17*v**2 - 1 - 5*v. Let g = 32 - 27. Is b(g) a prime number?
False
Let i = 659 + -637. Is i a prime number?
False
Let p(q) = 9*q - 30*q - 7 - 16*q - 48*q. Is p(-2) a prime number?
True
Suppose -27481 = -11*d + 52. Is d a composite number?
False
Suppose 4*g = -y + 7, -y - 3*y - 8 = -2*g. Let h(p) = 20*p**2 + 57*p**2 - 81 + 10*p**2 + 37 + 43 - p. Is h(y) composite?
True
Is (-12)/(-2)*((-2970)/(-20))/27 a prime number?
False
Let f = -26302 - -75317. Is f composite?
True
Is (3 - 5) + 3 - -6030 composite?
True
Let z(m) = 231*m**2 - 178*m - 7. Is z(10) a composite number?
False
Let d(z) = 10*z**2 - z + 5. Let p be 15 - 1*(-6)/(-2). Let v(k) = k**2 - 13*k + 16. Let q be v(p). Is d(q) composite?
True
Let h be (-18)/8*16/(-3). Let c = 15 - h. Is -3 + 89 + (c - 0) a prime number?
True
Let m = -15 + 15. Suppose m = 3*x - 17 + 5. Suppose -361 = -x*v - 45. Is v a composite number?
False
Let v = 1024 - 533. Let k = v + -45. Is k a prime number?
False
Let j(o) = -o**3 + 5*o**2 + 2*o - 5. Let d be 2 - (-60)/(-27) - 38/(-9). Is j(d) prime?
True
Suppose -2*m = 0, -4*m = -5*g - 9*m. Suppose -14*r + 1072 = -10*r. Suppose g*h - 2*h = -r. Is h a prime number?
False
Suppose -5*k = 4*o - 11912, 1 + 1 = -o. Suppose 18*s = 2*s + k. Is s a composite number?
False
Let x(v) = 424*v**2 - 9*v - 14. Is x(-9) composite?
True
Let f(o) = -63*o + 13. Let z be f(-9). Let r = 1094 - z. Suppose 4*j + 384 = q + 127, -2*q + 5*j + r = 0. Is q a composite number?
False
Let s = 51 - 47. Suppose 0 = -4*m + 5*c + 261, s*m - 3*c - 39 = 228. Is m a composite number?
True
Suppose -l + 10 = 4*l + 2*o, 2*o + 18 = 2*l. Suppose 530 = l*d + 142. Is d composite?
False
Let z = 72311 + -41508. Is z prime?
True
Let h = 422 - -95. Is h a composite number?
True
Suppose 0 = -0*z + 4*z + 760. Let f = -131 - z. Is f a prime number?
True
Let x be -2 - (-1 + -2)/(3/2). Suppose x = -c - 4*i + 213, -5*c + 731 + 370 = 2*i. Is c a prime number?
False
Suppose -21*u = -18*u + 112461. Is (0 - 1)/(19/u) prime?
True
Is (-30)/(13 + -7) - -9202 composite?
True
Suppose 4*o = -s + 2835, 2825 = s - 3*o + 5*o. Is s a composite number?
True
Suppose 4*u - 2261 - 1091 = 0. Is u a composite number?
True
Let y be 0 - ((2 - 4) + -6). Suppose x + 555 = 4*x. Suppose -3*d = -y*d + x. Is d composite?
False
Let v be 4/(-22) - 38 | {
"pile_set_name": "DM Mathematics"
} |
)?
56
Let b(w) = 5*w - 13. Let f be b(3). Calculate the common denominator of (-2)/(-3)*f*42/(-60) and 46/27.
135
Let k(b) = 5*b**2 - 4*b - 4. What is the least common multiple of k(-2) and 9?
72
Let v(x) = x**2 + 3*x + 2. Let m be v(-5). Let g = -81889/20 + 4097. Calculate the common denominator of (-12)/10 - 9/m and g.
20
Let x = -526 + 592. Calculate the lowest common multiple of x and 63.
1386
Let p = 19/46 + -1769/1610. Find the common denominator of 17/25 and p.
175
Suppose -8*m + 5 + 443 = 0. Calculate the least common multiple of 40 and m.
280
Suppose 0 = c - 2 + 5, 166 = 5*g - 2*c. What is the lowest common multiple of 8 and g?
32
Suppose 2*a - 6389 + 1163 = 0. Let m = -20875/8 + a. Find the common denominator of -95/16 and m.
16
Suppose -3*j + 101 = -v - 4*j, 0 = 3*v - 5*j + 303. Let k = v - -151. Calculate the lowest common multiple of 20 and k.
100
Let i(o) = -o**3 + 7*o**2 - 5*o - 8. Let r be i(6). Let q(l) = -6*l**3 + 2*l**3 + 3*l**3 + 2*l**2. What is the smallest common multiple of q(r) and 14?
112
Suppose 0 = -2*i - g - 11 - 31, 0 = -g + 2. What is the least common multiple of (-4)/i + 183*35/165 and 12?
156
Let r = -9 + 12. Let s(b) = b**2 + 5*b + 4. Let v be s(-4). Let j(d) = d + 10. What is the lowest common multiple of j(v) and r?
30
Suppose -61 = -4*d + w + 4*w, -2*d = -4*w - 32. Suppose d = 12*f + 2. Suppose 60 = 5*u + 10. What is the smallest common multiple of u and f?
10
Let o(i) = -i**3 + 18*i**2 - 10*i + 89. What is the least common multiple of 104 and o(17)?
208
Let d(i) = 1. Suppose 6*u = 3*u - 18. Let k(p) = p + 1. Let n(f) = u*d(f) + k(f). What is the smallest common multiple of n(11) and 46?
138
Let j be (-111)/16*14180/(-30). Let x = j - 3284. Let q = 205/8 - x. What is the common denominator of -101/6 and q?
6
Find the common denominator of 456/(-170) - (2 + -4) and -62/25.
425
Suppose 33 = 4*n - 3. Let p = 34 - 24. What is the lowest common multiple of 8 and n/(-6)*p/(-15)?
8
Let c be 1/(-1) - (-105129)/63. Let a = c + -1663. Calculate the common denominator of -52/3 and a.
21
Let q = -282 - -286. Let m = -6 - -11. Suppose -2*p - 2*p + 12 = 0, m*p - 37 = -2*z. Calculate the least common multiple of z and q.
44
Let i = 12 - 7. Let g = 21 + -13. Suppose -w - 2*v + g = 3*w, 0 = -w + v - 1. Calculate the smallest common multiple of w and i.
5
Suppose 0 = -f - 2*f + 42. Suppose 31*d - 28*d = -165. Let y = d + 65. What is the smallest common multiple of f and y?
70
Let f = 187 - 167. Calculate the lowest common multiple of 18 and f.
180
Let w = 1 - 0. Let s = 70 + -67. Suppose -s*h + 6*h = 21. Calculate the smallest common multiple of h and w.
7
Suppose 3*d = -5*t + 49, 0*d - 4*t + 32 = 2*d. Let m = -19 - -37. What is the least common multiple of d and m?
18
Let b = -348/37 + 6121/222. Let x = 2074 + -74555/36. What is the common denominator of x and b?
36
Suppose -14 = -5*m - x, -2*x - 2*x + 14 = -m. What is the lowest common multiple of 6 and 12 + -2 + m + -3?
18
Suppose 95 = -l + 65. Calculate the common denominator of 6/(-33) + l/77 and 97/6.
42
Suppose -3*g - 50 = -13*g. Calculate the least common multiple of g and 5.
5
Let j = 133 + -128. Suppose 0 = -2*t - j*c + 14 + 26, -70 = -4*t - 5*c. What is the least common multiple of 9 and t?
45
Suppose -65 = -i + 16. Suppose 0 = 5*p + 26 - i. What is the least common multiple of 11 and p?
11
Calculate the common denominator of (333/(-243))/(-1 + 4/3) and 2*(86/20 - 3).
45
Let s = 29 + 16. Let x = -23 + s. Calculate the lowest common multiple of 24 and x.
264
Let q be (-3 + (-219)/(-6))*2. Suppose 14 = -3*v + 4*z + q, 0 = v + 2*z - 11. Let a = 19153/9081 - -2/1009. Calculate the common denominator of a and v.
9
Let g = 56 - 52. Let f be 1/1 + 48 + 0. Suppose -31 - f = -g*y. Calculate the least common multiple of 10 and y.
20
Let i = -64 + 59. Let m be 3 + 1 + (-3 - -2). What is the lowest common multiple of 4 and (1 - -1 - i) + m?
20
Let j = 315 - 271. Calculate the least common multiple of j and 16.
176
Calculate the common denominator of (237/2 - (-2)/(-4))/18 and -53/7.
63
Suppose 50 = 4*v + v. Let u = 650 - 646. Calculate the lowest common multiple of v and u.
20
Let l = 9 + -3. Suppose -16 = -0*d - d. Calculate the smallest common multiple of d and l.
48
Let o(y) = -y + 12. Let z be o(-11). Let x = -19 + z. What is the smallest common multiple of x and 10?
20
What is the lowest common multiple of 16 and (-5)/3*(4504/(-40) - 11)?
1648
Let z = -630 + 632. What is the lowest common multiple of z and 117?
234
Suppose 278 = 3*c - 3*x - 73, -5*x = c - 87. Suppose -2*l = -6*a + 7*a - 2, -4 = a + 4*l. What is the smallest common multiple of a and c?
112
Let t be (-4)/(-6) - (-271594)/(-60). Let a = -4521 - t. What is the common denominator of (-9)/((-198)/10) + 3/(-2) and a?
110
Let o(a) = -a**3 - 2*a**2 + 2. Let l be o(-14). Let u = 47049/20 - l. Calculate the common denominator of ((-1)/6)/(1/(-71)) and u.
60
Let c = -83 - -91. Suppose -2*l + 0*l + 44 = 0. Calculate the lowest common multiple of l and c.
88
Suppose 31 - 11 = -5*f. Calculate the common denominator of (-7395)/(-1365) - f/26 and (122/(-16))/(10/(-8)).
70
Let x = 215 + 38. Calculate the lowest common multiple of x and 88.
2024
Suppose -5*l - 2*z + 933 = 185, -l - 2*z + 148 = 0. Calculate the least common multiple of l and 6.
150
Suppose -5*l - 319 = 356. Calculate the common denominator of (-77)/(-8)*(-1)/2 and (-2)/(-6)*l/330.
176
Suppose -26*v + 155 = -495. Suppose -4*a - 5*r - 11 = 0, -8 - 1 = 3*a + 4*r. Calculate the smallest common multiple of a and v.
25
Let q(f) = 2*f - 1. Let i be q(3). Suppose i*u - 2 = 13. Suppose t - u*t = -6. Calculate the least common multiple of 4 and t.
12
Suppose 4*b - 96 = -0. Let t = b + -14. Let r = 327 + -309. What is the lowest common multiple of r and t?
90
Suppose 9*k = 7*k + 32. Calculate the least common multiple of 2/(-4) - (-51)/6 and ((30/(-4))/3 + 3)*k.
8
Let t(m) = -267*m**2 - 13*m + 2. Let r be t(-9). Let k be r/(-15) - 3/(-9). Let q = k - 1445. Calculate the common denominator of q and -32.
5
Calculate the lowest common multiple of 6 and ((-1)/1)/(14/(-28)).
6
Suppose -n = 2 - 7. Suppose 3*t + 4 = -3*o + t, -n*t = -2*o - 9. Calculate the smallest common multiple of (o - (0 + -4)) + 0 and 9.
18
Find the common denominator of (1/(-48 - 0))/((-82)/5043) and -97/24.
96
Suppose 28 = 2*d + 5*d. Suppose -16 + d = -3*t. What is the smallest common multiple of (1*3)/((-6)/(-40)) and t?
20
Let a = -502 + 504. Let h(g) = -2*g**3 - 2*g**2 + g - 2. What is the least common multiple of h(-2) and a?
4
Let t(v) = 8*v**3 - v**2 - 5*v + 10. Let d = -10 - -13. Calculate the smallest common multiple of d and t(2).
60
Let r = 7397 - 59255/8. Find the common denominator of r and (0 - 1)/(7*(-160)/(-6328)).
40
Let d = -1409857/30 + 47000. What is the common denominator of d and 56/9?
90
Suppose -390*n + 385*n + 360 = 0. Calculate the least common multiple of n and 48.
144
Suppose -3*j = 5*s - 36, 2*j = -s - s + 16. Calculate the lowest common multiple of 309 and s.
618
Let h be (-3 + -63)/(-4 + (-13)/1). Let u = -259/34 - h. Find the common denominator of u and (17/(-8))/((-1)/(-2)).
4
Calculate the common denominator of 41/24 and 2/(-13) + (-115804)/(-89232).
264
Let l = -7/390 + 2843/260. Calculate the common denominator of ((-4)/10*-1)/((-4)/(-75)) and l.
12
Suppose -m = -3*n + 108 - 69, 0 = 5*n - 3*m - 69. Calculate the least common multiple of n and 183.
732
Let i = -6 - -16. Let x be (0 - 3)/(3/i). What is the common denominator of 41/8 and x - -13 - (-1)/8?
8
Let t be 1704455/182 - (-1 + (-15)/(-21)). Let l = t + -9362. Find the common denominator of l and 1 - (-1 - (-166)/28).
182
Let o = -48 + 64. Suppose -4*b - 13 = 3. Let n = 22 + b. What is the lowest common multiple of o and n?
144
Let i(f) = f**3 + 4*f**2 - 5*f + 7. Let k be i(-7). Let q = -45 - k. Suppose q - 5 = 5*r. What is the lowest common multiple of 8 and r?
88
Suppose -2*h + 4 = -3*h. Calculate the common denominator of 83/10 and 12/128*(632/3)/h.
80
Let z(l) = 6*l**2 + 8*l - 6. Let b be z(3). Calculate the common denominator of 6/20*(-6 - (-1520)/b) and 19/33.
165
Let s = 42 - 82. Let d = s - -29. Let y = -9 - d. What is the smallest common multiple of y and 6?
6
Let r(y) = 2*y**2 - y + 1. Let q be r(- | {
"pile_set_name": "DM Mathematics"
} |
)*-2)/(-2*sqrt(10)*-2).
-507 + 23*sqrt(17)/2
Simplify ((4 + sqrt(33)/sqrt(3))*6 + 3 + 2)*-3 + 3.
-84 - 18*sqrt(11)
Simplify -3 + (6*sqrt(220) - sqrt(275)/(1*sqrt(5)))/(sqrt(22)/sqrt(128)).
-3 + 88*sqrt(5)
Simplify (5*sqrt(240)*-2 + (sqrt(240) - (sqrt(240) - 3*(sqrt(240) + sqrt(240)*1))))/((sqrt(605) + (sqrt(605) - sqrt(605)*3*-6 - sqrt(605)))*-3).
16*sqrt(3)/627
Simplify ((-2*-6*5*(sqrt(243) + 1) + (-5*(sqrt(243) + 2) - (0 + sqrt(243) + 3)))*-6)**2.
1644624*sqrt(3) + 25588692
Simplify 5 + -2 + -2 + (sqrt(242) + (sqrt(242) + sqrt(242) + -1)**2)*2 + 1 + (sqrt(242) + 2*sqrt(242))**2.
-66*sqrt(2) + 4118
Simplify (4 + 3 + -1 + (1 + sqrt(300))*-3 + 3 + -3)**2 + -4.
-180*sqrt(3) + 2705
Simplify ((-5*sqrt(70)/sqrt(2)*6)/(sqrt(63)/(sqrt(90)/(-1*sqrt(10)))))**2*-2.
-9000
Simplify ((2*sqrt(189)*3*-2*-3)/((-2*sqrt(1728) - sqrt(1728))*5))**2.
63/100
Simplify -2*(-3 + (-5*((sqrt(637) - (-2 + sqrt(637))*-6) + 5))**2*6*3).
-28135794 + 617400*sqrt(13)
Simplify (4 + 1*(-2 + sqrt(162)*-1)*3 + 2)**2.
1458
Simplify (2*(-5*(-1 + sqrt(7)) + sqrt(112) + -2*sqrt(112)) + 1*sqrt(28) + -2 + sqrt(7) + -1)**2.
-210*sqrt(7) + 1624
Simplify -2 + -6*(sqrt(1053) + 2 - (sqrt(78)/sqrt(24))**2 - (-2*sqrt(65)*-5)/sqrt(5)).
11/2 + 6*sqrt(13)
Simplify (sqrt(200) + ((sqrt(200) + sqrt(200) + -4 + sqrt(200) + 4)**2 - sqrt(200)))*-4 - (0 + (sqrt(200) - 2*sqrt(200))**2)*6.
-8400
Simplify ((-1*sqrt(156)*-3 - sqrt(156))/sqrt(3)*2)/(((1*sqrt(288))/sqrt(8) + sqrt(36))/(sqrt(9) - (sqrt(36) - sqrt(108)/sqrt(3)))).
2*sqrt(13)
Simplify (6*(6*sqrt(133)*-2*-2)/((2*sqrt(189))/sqrt(3))*-3)**2.
98496
Simplify -6*(-4 + (3 + sqrt(1216) + -1 + -2 + 4 + -1)**2).
-7326 - 288*sqrt(19)
Simplify (((sqrt(143) - (sqrt(143)*-2*5 - sqrt(143))) + -1*sqrt(143)*4)*5)/(((sqrt(539) - (1*sqrt(539)*-1 - sqrt(539)) - sqrt(539)) + sqrt(539))*-2)*-6.
40*sqrt(13)/7
Simplify -3 + 5*(4*((-1*sqrt(833) - sqrt(833) - sqrt(833))**2*6 + -5) + -5).
899512
Simplify (6*-1*sqrt(15)*-1*2)/(6*(-1*sqrt(432) + sqrt(243)*-1)).
-2*sqrt(5)/21
Simplify (-4*1*sqrt(102)*1*-6)/(2*3*sqrt(294)*-4).
-sqrt(17)/7
Simplify (-2 + sqrt(18)/(sqrt(6) + sqrt(96)*3) - (5 + -1 + sqrt(147) + 3))**2.
1620*sqrt(3)/13 + 37989/169
Simplify 4 + ((sqrt(275) + -2)*2 - (-4 + -3 + sqrt(275)))**2 + 3.
30*sqrt(11) + 291
Simplify ((-3*(sqrt(242) - (sqrt(242) + 0)))**2 + 5 + -5*sqrt(242)*-1*-6 + 3)*-1 + 2.
-6 + 330*sqrt(2)
Simplify ((sqrt(110) + (-5*-2*sqrt(110) - sqrt(110) - sqrt(110)) + sqrt(110))/sqrt(5)*4)/((-2*sqrt(72) - sqrt(2)) + (sqrt(42)/sqrt(7))/sqrt(3)).
-10*sqrt(11)/3
Simplify -4 + ((sqrt(612) + 0)*4*-5 - ((sqrt(612) + 1 + sqrt(612) + 5)**2 - (sqrt(612) - 6*1*sqrt(612) - sqrt(612)))) + -3.
-2491 - 300*sqrt(17)
Simplify -5*(3 + -5 + 2*sqrt(567)) - (0 + (4 + (sqrt(567) - (sqrt(567) + -1))**2 - (sqrt(567) + -1*sqrt(567) + 1)**2)).
-90*sqrt(7) + 6
Simplify 5*((sqrt(96) - ((sqrt(96) - (-2*sqrt(96) + sqrt(96))*-4) + sqrt(96) - sqrt(96)))/sqrt(12))/(sqrt(12)/sqrt(3)*5 - sqrt(144)*-2).
20*sqrt(2)/17
Simplify -2 + (sqrt(210)/sqrt(96)*2)/(sqrt(1008) - ((sqrt(1008) - 1*2*sqrt(1008) - sqrt(1008)) + sqrt(1008))) + -3.
-5 + sqrt(5)/48
Simplify ((sqrt(1331)*-1*-6 - (sqrt(1331)*-3 + sqrt(1331) + 0) - (-1 + -2 + sqrt(1331) + -2 + 5)) + 1)**2.
154*sqrt(11) + 65220
Simplify 4 + ((sqrt(32)*3 - sqrt(160)/sqrt(5)) + (5*sqrt(32) + sqrt(8))/(sqrt(128)/sqrt(2)))**2 + -5.
1841/8
Simplify 3 + ((sqrt(19) - sqrt(57)/sqrt(3))**2 + 3 - (sqrt(19) + (sqrt(133) - (sqrt(133) - -2*sqrt(133)))/sqrt(7))) + 0 - -6*((1 + sqrt(2736) + -2)**2 + -1).
-143*sqrt(19) + 16422
Simplify 1 + ((sqrt(180) - 2*(1*sqrt(180) + sqrt(180)))**2 + sqrt(180))*-3 - ((sqrt(45) - sqrt(180)/sqrt(4))*2 - (-4 + (-1*sqrt(125))**2 + sqrt(125))).
-4738 - 13*sqrt(5)
Simplify 2*((sqrt(720)*-2*-3 + sqrt(720) + 5)**2*1 - 5*6*(sqrt(720) + sqrt(720)*1*-2)).
2400*sqrt(5) + 70610
Simplify (-6*5*-1*sqrt(896))/(sqrt(7) + (sqrt(21)/(1*sqrt(3)) - sqrt(7)) - (sqrt(168)/sqrt(6) - sqrt(28) - sqrt(28))).
80*sqrt(2)
Simplify -6*((4 + 4 + 6*(sqrt(448) - -2*(sqrt(448) + sqrt(448) + 1)))*-1)**2.
-2421600 - 57600*sqrt(7)
Simplify -5*((sqrt(468) + 2)*2 + 0 + sqrt(13) + (sqrt(1300)*1)**2)*-4*-5.
-130400 - 1300*sqrt(13)
Simplify (((sqrt(121) + sqrt(121)*1)*-4*3)/((sqrt(7920) + (sqrt(7920) - (sqrt(7920) - 2*sqrt(7920))))/sqrt(5)) + 4)**2 + 0.
-16*sqrt(11)/3 + 188/9
Simplify 4 + 6*((-2 + (sqrt(168)/((2*sqrt(72))/sqrt(9)))/((1*(sqrt(15) - (sqrt(60) - sqrt(15))) - sqrt(15))/sqrt(5)))**2 + -2).
53/2 + 12*sqrt(7)
Simplify ((3*(-2*sqrt(120) - sqrt(120)))/(sqrt(5) + (sqrt(5) - (sqrt(40)/(sqrt(32)/sqrt(4)) + sqrt(5)) - sqrt(5))))/(-3*3*2*sqrt(968)).
-sqrt(3)/22
Simplify ((0 + 5*sqrt(44) - 2*sqrt(539)*5) + 5*(-1*sqrt(132)/sqrt(4))/(-1*(sqrt(3) - (sqrt(3) - sqrt(48))) + sqrt(3)))**2.
336875/9
Simplify 5*(sqrt(72) + -1)*6 + ((1*sqrt(162) - sqrt(162)) + 3 - sqrt(162) - sqrt(162) - sqrt(162) - (-1 + (sqrt(162) + 1 - sqrt(162))))**2.
18*sqrt(2) + 1437
Simplify (((sqrt(3) + sqrt(15)/(sqrt(25)/sqrt(5)) - sqrt(3))*5 - -4*(sqrt(147) + 2 + sqrt(3))) + 2)**2*-2.
-8414 - 1480*sqrt(3)
Simplify (4*(4 + (-4 + -1 + sqrt(80) + -5 + sqrt(80) + 2 - (sqrt(80)*-4*-4 + sqrt(80) + -1))))**2.
5760*sqrt(5) + 288144
Simplify -3 + (sqrt(209) + (sqrt(209) + sqrt(209)*-1)*3 + (sqrt(209) - (-1*sqrt(209) - sqrt(209)))*3)/((3*sqrt(132) + sqrt(132))/sqrt(12)*-1).
-5*sqrt(19)/2 - 3
Simplify -2 + (5*(2 + (sqrt(7)*3)**2) - ((4*sqrt(70)*3)/sqrt(10))**2) + -1.
-686
Simplify (sqrt(3) + -2 + -2*sqrt(3) - (sqrt(3) + sqrt(1080)/sqrt(10)))*3 + (sqrt(108)/sqrt(4) - sqrt(27) - sqrt(27))**2*6*-1*3.
-492 - 24*sqrt(3)
Simplify 2*((sqrt(528)*1 - sqrt(528))*-6 + (sqrt(528) - sqrt(528)*2*-3))/((sqrt(11) + sqrt(55)/sqrt(5))*5*3).
28*sqrt(3)/15
Simplify (-1*(1*(sqrt(432) + sqrt(432)*-2) - sqrt(432) - sqrt(432) - sqrt(432) - sqrt(432))**2 - -2*(sqrt(432)*1 + -2)) + -2 + 5 + -5.
-10806 + 24*sqrt(3)
Simplify (sqrt(102) + -3*1*sqrt(102) - 3*(1*sqrt(102) - sqrt(102)))/(sqrt(216) - -2*-1*sqrt(216)).
sqrt(17)/3
Simplify (-5 + 0 + ((4 + sqrt(1100)*-1 - sqrt(1100)) + -4 - (-2*1*sqrt(1100) + -4)))**2.
1
Simplify ((sqrt(45) - (1*sqrt(45)*1 - sqrt(45)))/(sqrt(720)/sqrt(5)))**2 - (3*(1*sqrt(180) - sqrt(180)) - (sqrt(180)*2 + -4))**2.
-11771/16 + 96*sqrt(5)
Simplify 4*((1*(-2 + -6*sqrt(931)*1))**2 + 2)*1.
672*sqrt(19) + 134088
Simplify ((sqrt(152)*-3*4)/(1*sqrt(36)))/((sqrt(3168) + sqrt(22))/sqrt(11) + (-6*sqrt(22))/sqrt(11)).
-4*sqrt(19)/7
Simplify ((-1 + -3*sqrt(684))*6 - ((sqrt(171) - (sqrt(171) + 1*(sqrt(171) + 1*sqrt(171)) - sqrt(171))) + (-2 + sqrt(171))*5))**2.
-960*sqrt(19) + 273616
Simplify ((sqrt(3300) - (sqrt(3300) - (-1*sqrt(3300) + sqrt(3300) - sqrt(3300)))*-2)*4)/((sqrt(11) + sqrt(66)/(sqrt(18)/sqrt(3) + sqrt(6)) + sqrt(275)*-1)*-4).
100*sqrt(3)/7
Simplify (5*(sqrt(288)*2 + sqrt(288)))/(sqrt(54) + -2*sqrt(3456)).
-4*sqrt(3)/3
Simplify (-4*(sqrt(170)*2 + sqrt(170) - sqrt(170))*1*-3)/((sqrt(1210) + (-2*-1*sqrt(1210) - sqrt(1210)))*5).
12*sqrt(17)/55
Simplify ((sqrt(320) + sqrt(320)*-2)*-3 - (1 + sqrt(320))*1 - (1 + (sqrt(320) + -3*(sqrt(320)*1 + sqrt(320)))*2))**2.
-384*sqrt(5) + 46084
Simplify (6*sqrt(36)/sqrt(6))/((sqrt(27)*3)/sqrt(9)) + (sqrt(48)/(sqrt(20)/sqrt(5)))/(-3*sqrt(150) - sqrt(150) - sqrt(150)).
49*sqrt(2)/25
Simplify ((1*sqrt(228) + sqrt(228))*5*-4*6)/(sqrt(108)/(sqrt(36)/sqrt(4)) + sqrt(12) + sqrt(432)*1)*4.
-120*sqrt(19)
Simplify (-1 + 3*(-2*sqrt(1088) + -3 - (sqrt(1088) - (-6*(sqrt(1088) - (sqrt(1088)*2 - sqrt(1088))) + sqrt(1088)))) + (2 + -5 + sqrt(1088)*2)*-3)**2.
192*sqrt(17) + 156673
Simplify -5*(((sqrt(77) - sqrt(77)*2*3 - sqrt(77)) + sqrt(77))/(-5*sqrt(44) - sqrt(11)) - (((sqrt(84)*1)/sqrt(12))**2 + (4*sqrt(7)*2)**2)).
-25*sqrt(7)/11 + 2275
Simplify 1 + (1*3*-2*sqrt(153)*-2)/(-3*-3*3*sqrt(27)/sqrt(3)).
1 + 4*sqrt(17)/9
Simplify 2*2*(-2 + 1 + (-1 + (sqrt(684) - (sqrt(684) + 0 + -4)))**2 + 2).
40
Simplify (1 + 3*sqrt(1900)*-3 + -1 + sqrt(1900) + 1 + -5 + 0)**2 + 3.
640*sqrt(19) + 121619
Simplify 5 + -1*(sqrt(272) + (sqrt(272) + (sqrt(272) - sqrt(272)*2) + sqrt(272))**2) + (sqrt(272)*-1 - sqrt(272))*-4 + (-3 + -1*sqrt(272))**2*-2 + 2.
-827 - 20*sqrt(17)
Simplify 1*((sqrt(1331) - (sqrt(1331) - -4*sqrt(1331)))*6 + 5 - -4*(-4 + (sqrt(11) - sqrt(11)*2 - sqrt(11)) - (sqrt(22)/(sqrt(8)/sqrt(4)))**2)).
-272*sqrt(11) - 55
Simplify (((sqrt(136)*1)/sqrt(8) - (sqrt(85)/sqrt(5) + -1)) + 4*(sqrt(612) | {
"pile_set_name": "DM Mathematics"
} |
llect the terms in d + 213 + 665 + 20*d - 25*d.
-4*d + 878
Collect the terms in 20463 + 240 + 11500 - b.
-b + 32203
Collect the terms in 154*m**2 + 6462*m**3 - 6466*m**3 - 43*m**2.
-4*m**3 + 111*m**2
Collect the terms in 119329*b + 9 - 40022*b - 39746*b - 39976*b - 9.
-415*b
Collect the terms in 6450*x**2 + 25*x**3 - 8*x**3 + 6473*x**2 - 9*x**3 - 9*x**3.
-x**3 + 12923*x**2
Collect the terms in -209 - 229 - 2*u**2 - 240 + 678.
-2*u**2
Collect the terms in -6423759*a**2 + 2141318*a**2 + 2141259*a**2 + 2141253*a**2.
71*a**2
Collect the terms in -2501*f**3 + 883*f**3 - 273*f**3 + 1892*f**3.
f**3
Collect the terms in 309*f + 7*f**2 - 97*f - 143*f - 69*f.
7*f**2
Collect the terms in -406971615 - 406971616 + 813943231 - 7*i**2.
-7*i**2
Collect the terms in -518*a**2 + 1013*a**2 - 510*a**2 - 9 + 11 - 2 - 4.
-15*a**2 - 4
Collect the terms in 879*o + 873*o + 667 - 198.
1752*o + 469
Collect the terms in -13*a**2 - 56*a**2 - 465*a**2 + 73*a**2 - 606*a**2.
-1067*a**2
Collect the terms in 4128*d - 2683*d**2 + 3346*d + 2733*d**2.
50*d**2 + 7474*d
Collect the terms in 30 + 24 + 26 - 16 + 14 - k.
-k + 78
Collect the terms in 7047695*l - 783*l**3 - 7047695*l.
-783*l**3
Collect the terms in 4 + 261*d**3 - 4 + 289*d**3 - 661*d**3 + 103*d**3.
-8*d**3
Collect the terms in k - 6331 + 40881 + 0*k + 0*k.
k + 34550
Collect the terms in -209576*l**2 - 209576*l**2 - 30*l**3 + 628736*l**2 - 209584*l**2.
-30*l**3
Collect the terms in 56*x - 26*x - 10794860 + 10794860 - 25*x.
5*x
Collect the terms in 2459 - 621 - 620 - 625 - 593 - 3*d**3.
-3*d**3
Collect the terms in -2247*s**2 + 338 - 338 - 3193*s**2 - 671*s**2 - 864*s**2.
-6975*s**2
Collect the terms in -5*r**2 + 1478 + 5*r**2 + 2*r**2 + 21*r**3 - 37*r**3 - 3*r**3 + 22*r**3.
3*r**3 + 2*r**2 + 1478
Collect the terms in -27127 + 4471*j**2 - 161*j**2 + 27128.
4310*j**2 + 1
Collect the terms in 2865224*l**3 + 2864468*l**3 - 5729693*l**3.
-l**3
Collect the terms in 1904*q**2 - 9292*q**2 - 3700*q**2 - 9*q**3.
-9*q**3 - 11088*q**2
Collect the terms in 14*u**3 + 77*u**3 + 2*u - 342*u**3 + 127*u**3 + 48*u**3.
-76*u**3 + 2*u
Collect the terms in -2883*a - 2891*a - 2918*a + 8694*a.
2*a
Collect the terms in -128582247862*n + 128582247862*n + 3*n**2 - n**2.
2*n**2
Collect the terms in -1240 + 922 + 916 - 8*j - 598.
-8*j
Collect the terms in 5*j**3 + 150*j + 19*j - 52*j**3 - 169*j.
-47*j**3
Collect the terms in -u**2 + 3*u**2 + 7581*u**3 - 14837*u**3 - 2*u**2 + 0*u**2 + 7273*u**3.
17*u**3
Collect the terms in 9180 - 4590 + 1383*d - 4590.
1383*d
Collect the terms in -3216*l - 3207*l + 16040*l - 3205*l - 3209*l - 3211*l.
-8*l
Collect the terms in 0*o**3 - 4*o**3 - 40787*o**2 + 81598*o**2 - 40811*o**2 - 2*o**3.
-6*o**3
Collect the terms in 28672*w**3 - 137990*w**3 + 4044485*w - 4044485*w.
-109318*w**3
Collect the terms in -55 - 129529*r**2 + 129529*r**2 - 2*r**3 - 77.
-2*r**3 - 132
Collect the terms in 162116*v + 1347169 - 1347169 - 162117*v.
-v
Collect the terms in 1 + 3786*p**3 + 3790*p**3 - 11373*p**3 - 3 + 3790*p**3.
-7*p**3 - 2
Collect the terms in -193*k**2 - 213*k**2 - 261*k**2 - 182*k**2 + 851*k**2.
2*k**2
Collect the terms in 814 - 638*o**3 - 1629 + 5706*o**3 + 815.
5068*o**3
Collect the terms in -29108 + 9677 + 9761 + 5*q**3 + 9670.
5*q**3
Collect the terms in -44 + 4 + 10 - 25128*b**2 + 31 - 1 + 25127*b**2.
-b**2
Collect the terms in 106*d - 14*d + 87*d.
179*d
Collect the terms in 0*y + y + 19*y**2 - 84310*y**3 - 4*y**2 - 15*y**2.
-84310*y**3 + y
Collect the terms in -1673*g**3 - 1664*g**3 - 1674*g**3 - 1666*g**3 + 8352*g**3 - 1671*g**3.
4*g**3
Collect the terms in -48057272*g**2 - 48057265*g**2 + 96114526*g**2.
-11*g**2
Collect the terms in 5*p**2 - 2540*p - p**2 + 50 + 2390*p - 5*p**2.
-p**2 - 150*p + 50
Collect the terms in 2786 + 5*i - 1104 - 19*i - 1682.
-14*i
Collect the terms in -26 + 70 + 10*w + 12*w - 118*w - 44.
-96*w
Collect the terms in 30*h**2 + 135*h**3 + 2*h - 48*h**3 - 12*h**2 + 0*h.
87*h**3 + 18*h**2 + 2*h
Collect the terms in -868732362 + 1737464728 + 0*p - 868732366 - p.
-p
Collect the terms in -596 - 36 + 17*s - 45*s - 34*s.
-62*s - 632
Collect the terms in 25 - 12860*h**3 - 3907*h**3 + 21 - 46 - 3*h**2.
-16767*h**3 - 3*h**2
Collect the terms in -11546*p**2 + 9923*p**2 + 12698*p**2.
11075*p**2
Collect the terms in -64841*b + 259395*b - 64852*b - 64849*b - 64849*b.
4*b
Collect the terms in -758*z + 307*z + 402*z - 8*z**2.
-8*z**2 - 49*z
Collect the terms in -22 + 22 - 511*g**3 + 398*g**3.
-113*g**3
Collect the terms in 98 + 1298*j**3 - 1300*j**3 + 38 - 161 + 25.
-2*j**3
Collect the terms in -39033140 + 39033140 - 6258*b.
-6258*b
Collect the terms in -4805*j**2 - 9*j + 35*j - 26*j.
-4805*j**2
Collect the terms in 106781233*s + 106781229*s - 320343694*s + 106781234*s.
2*s
Collect the terms in 4 + 6 - 134257*u + 66923*u + 67070*u - 10.
-264*u
Collect the terms in -2*k - 407956911826 + 407956911826.
-2*k
Collect the terms in 14078 - 6*h**3 + 13742 - 27779.
-6*h**3 + 41
Collect the terms in 80625*m + 80139*m - 160765*m.
-m
Collect the terms in -11961*d - 7 + 5984*d - 18 + 5977*d + d**2.
d**2 - 25
Collect the terms in -413*p + 163*p - 412*p - 415*p - 407*p + 1492*p.
8*p
Collect the terms in -37 + 9 - 4 - 2623*l.
-2623*l - 32
Collect the terms in -1870*d**2 + 7471*d**2 - 1863*d**2 - 9 - 1864*d**2 - 1869*d**2.
5*d**2 - 9
Collect the terms in -21*s**3 - 29827*s**2 + 7448*s**2 + 7459*s**2 + 7464*s**2 + 7456*s**2.
-21*s**3
Collect the terms in 125*g**2 - 125*g**2 + 1319*g**3 - 2015*g**3 + 701*g**3.
5*g**3
Collect the terms in -2 + 2*w + 35 + 52 + 33 + 15 - 11.
2*w + 122
Collect the terms in 9 - 11 + 622*v - 2 + 7.
622*v + 3
Collect the terms in -5238*t**2 + 2644*t**2 + 2587*t**2 - 114.
-7*t**2 - 114
Collect the terms in -18*c**3 + 2065*c**2 - 4146*c**2 + 2081*c**2 - 12*c**3 - 19*c**3 + 52*c**3.
3*c**3
Collect the terms in 3*w - 2*w - 4 - 41*w**3 + 4*w - 7*w + 14.
-41*w**3 - 2*w + 10
Collect the terms in 8*r**2 + 6*r**2 - 855884 + 6*r**2 - 15*r**2 + 855884.
5*r**2
Collect the terms in -11 - 5888*h - 3686*h + 7 + 3508*h.
-6066*h - 4
Collect the terms in -3*f**2 - 4*f**2 - f**2 - 6 - 40*f + 3 + 0.
-8*f**2 - 40*f - 3
Collect the terms in x**3 + 92774083577893*x**2 - 92774083577893*x**2.
x**3
Collect the terms in 34437*q + 91337*q + 10375*q.
136149*q
Collect the terms in -89138200*q + 89138200*q - 2623*q**2.
-2623*q**2
Collect the terms in -52704 + 26630 + 11*k + 26074.
11*k
Collect the terms in 1834*b - 132 - 137 + 413 - 143.
1834*b + 1
Collect the terms in 36*m**2 + 11 + 5*m**2 + 30*m**2 - m + 25*m**2 - 12*m**2.
84*m**2 - m + 11
Collect the terms in -2 - 18*r**2 - 453*r**2 + 3*r - 15*r**2.
-486*r**2 + 3*r - 2
Collect the terms in -179257*n**2 + 537771*n**2 + 2*n - 179258*n**2 - 2*n - 179258*n**2.
-2*n**2
Collect the terms in 11*u**2 - 1482*u**2 - 226*u**2 + 278*u**2 + 246*u**2.
-1173*u**2
Collect the terms in -18955*n + 18929*n + 54066 - 27022 - 27044.
-26*n
Collect the terms in 219148*d - 55644*d + 80389*d.
243893*d
Collect the terms in -39195640*n + 117586930*n - 39195653*n - 39195664*n.
-27*n
Collect the terms in -2895*t**2 - 285*t**3 + 4436*t**2 - 771*t**2 - 770*t**2.
-285*t**3
Collect the terms in -55*g + 2276420685 - 2276420685.
-55*g
Collect the terms in -232620*y - 396709*y - 270871*y.
-900200*y
Collect the terms in -24190 + 58033 - 3*a**2 + 55167 - 1533.
-3*a**2 + 87477
Collect the terms in -27*n**2 + 37*n**2 + 121*n**2 - 53*n**2 - 28*n**3 + 123*n**2.
-28*n**3 + 201*n**2
Collect the terms in -82*v + 158*v - 146618 + 146618.
76*v
Collect the terms in 62619*k**3 + 217217*k**3 - 31183*k**3 + 60496*k**3.
309149*k**3
Collect the terms in -911 - 4*c - c - 944 + 3*c - 744 + 2599.
-2*c
Collect the terms in -698590 + 349239 + b + 349246.
b - 105
Collect the terms in -1446*l - 1438*l - 1446*l - 1442*l + 5748*l.
-24*l
Collect the terms in -2849*s - 7 + 748*s + 705*s + 698*s + 702*s.
4*s - 7
Collect the terms in -180 - 97 + 7*h**2 - 93 + 358.
7*h**2 - 12
Collect the terms in -53*s + 18*s + 58 + 18*s + 9*s + 10*s.
2*s + 58
Collect the terms in -2 - 1 - 2 - 2865921*l + 2 + 2865910*l.
-11*l - 3
Collect the terms in 233*i**2 + 213*i**2 - 221*i**2.
225*i**2
Collect the terms in 66 + 2*g + 78 - 136 + 91*g**2.
91*g**2 + 2*g + 8
Collect the terms in 255468*l - 26*l**3 - 127734*l + 21*l**3 - 127734*l.
-5*l**3
Collect the terms in | {
"pile_set_name": "DM Mathematics"
} |
2.
24*sqrt(5) + 189
Simplify (3*(-1 + sqrt(10)/sqrt(2) - (sqrt(200)/sqrt(4))/sqrt(10))*-3)**2.
81
Simplify 0 + sqrt(2) + -1 + 0 + sqrt(8).
-1 + 3*sqrt(2)
Simplify -1*(3 + -5 + sqrt(162) + -1).
-9*sqrt(2) + 3
Simplify -3 + sqrt(117)*2.
-3 + 6*sqrt(13)
Simplify (0 + sqrt(468) + 5)**2.
60*sqrt(13) + 493
Simplify (1 + sqrt(21)/(sqrt(56)/sqrt(8)))**2.
2*sqrt(3) + 4
Simplify (0 + sqrt(19) + sqrt(76) + -1)**2.
-6*sqrt(19) + 172
Simplify sqrt(176) + -1 - (5 + sqrt(11) + -2 + sqrt(11))**2.
-54 - 8*sqrt(11)
Simplify 3 + sqrt(24)/sqrt(3).
2*sqrt(2) + 3
Simplify -4*(-6*((sqrt(5) - sqrt(15)/sqrt(3)) + sqrt(5)) - (sqrt(20)/(sqrt(8)/sqrt(2) + sqrt(4)) + sqrt(5) - sqrt(5))).
26*sqrt(5)
Simplify sqrt(20)/((sqrt(40)/sqrt(2))/sqrt(5)).
sqrt(5)
Simplify -4 + sqrt(38)/sqrt(2) - -3*sqrt(19)*2.
-4 + 7*sqrt(19)
Simplify ((sqrt(152) - -1*sqrt(152))*-5)/(sqrt(16)/(sqrt(50) + sqrt(2))).
-60*sqrt(19)
Simplify sqrt(44)/(2*sqrt(196)).
sqrt(11)/14
Simplify 4 + sqrt(85)/(sqrt(45)*-2).
-sqrt(17)/6 + 4
Simplify 0 + ((0 + sqrt(245))*6)**2.
8820
Simplify -6*sqrt(19)*-3 - (sqrt(19) - sqrt(57)/(sqrt(12)/sqrt(4))).
18*sqrt(19)
Simplify -1*(0 + sqrt(128))**2.
-128
Simplify (2 + 1 + 1*(sqrt(17) + 0))**2.
6*sqrt(17) + 26
Simplify 0 + sqrt(1053) + sqrt(1053) + (sqrt(208))**2*-5 + sqrt(13).
-1040 + 19*sqrt(13)
Simplify (sqrt(102)/(sqrt(12)/sqrt(4)))/(sqrt(288) - (2*sqrt(288) + sqrt(288) - sqrt(288)) - sqrt(288)).
-sqrt(17)/24
Simplify ((sqrt(2448) - (0 + sqrt(2448) + sqrt(2448))**2) + -4)*-4.
-48*sqrt(17) + 39184
Simplify (-4*(sqrt(78)*-2 - sqrt(78)))/sqrt(6).
12*sqrt(13)
Simplify (sqrt(54) - sqrt(6))/sqrt(2) + ((sqrt(75) + -1 + sqrt(75))**2 - sqrt(75)).
-23*sqrt(3) + 301
Simplify (-5*(3 + sqrt(190)/sqrt(160)))**2.
75*sqrt(19)/2 + 4075/16
Simplify ((sqrt(176) + 4 + sqrt(176) - sqrt(176)) + 4)**2.
64*sqrt(11) + 240
Simplify 1*1*sqrt(475) + (0 + -1*sqrt(475))**2.
5*sqrt(19) + 475
Simplify ((sqrt(1573) - (sqrt(1573) + 2)) + sqrt(1573))**2 - (3*sqrt(156))/sqrt(12).
-47*sqrt(13) + 1577
Simplify sqrt(4)/(sqrt(2)*-2) + sqrt(288) + 1.
1 + 23*sqrt(2)/2
Simplify sqrt(36)/(sqrt(36)/sqrt(3)*-4).
-sqrt(3)/4
Simplify ((sqrt(162) + sqrt(162) + 0)*4 - sqrt(162))**2.
7938
Simplify 0 + (sqrt(448) + 4)*-1.
-8*sqrt(7) - 4
Simplify ((sqrt(242) + 0 + -3 - -4*(sqrt(242) - (1 + sqrt(242)))) + 0)**2.
-154*sqrt(2) + 291
Simplify 5 + (-5 + sqrt(176)*2)**2.
-80*sqrt(11) + 734
Simplify (sqrt(11) + 5*sqrt(33)/sqrt(3))*2.
12*sqrt(11)
Simplify (sqrt(1053) + sqrt(1053) + sqrt(1053)*-1)**2 - sqrt(156)/(-2*sqrt(12)).
sqrt(13)/2 + 1053
Simplify -4*(((sqrt(3) + 1)*3)**2 - sqrt(3)) + ((sqrt(6) - (sqrt(6)*-2 - sqrt(6)))/sqrt(2) - sqrt(33)/(sqrt(44) - sqrt(11))).
-144 - 65*sqrt(3)
Simplify sqrt(17) + ((sqrt(2448) - sqrt(2448)*-1) + sqrt(17))**2 + (6*sqrt(68)/sqrt(4))**2.
sqrt(17) + 11237
Simplify (sqrt(19) + (-4 + 1 + sqrt(19) - sqrt(19)) - (sqrt(190)/(sqrt(10)*2) + sqrt(19)))*5.
-15 - 5*sqrt(19)/2
Simplify 5*(-2*sqrt(300))**2*-3.
-18000
Simplify -2 + -2 + (3 + sqrt(7))**2.
12 + 6*sqrt(7)
Simplify sqrt(187)/sqrt(176) + sqrt(17) - (-1 + 0 + sqrt(17))**2.
-18 + 13*sqrt(17)/4
Simplify 3*sqrt(192)*3.
72*sqrt(3)
Simplify (sqrt(245) - sqrt(245)*-2) + sqrt(30)/sqrt(54).
64*sqrt(5)/3
Simplify -6*(sqrt(720)*1 + -2*(sqrt(5) - sqrt(5)*-1)) + -2.
-48*sqrt(5) - 2
Simplify sqrt(36)/(sqrt(48)/(1*sqrt(4) + sqrt(4) + sqrt(4))) + 3 + 0 + (2*sqrt(3))**2.
3*sqrt(3) + 15
Simplify -2*(-2*sqrt(448) - sqrt(448))**2.
-8064
Simplify (1*sqrt(20)*2)/(sqrt(90) + -2*sqrt(90)).
-2*sqrt(2)/3
Simplify ((sqrt(112) - sqrt(28)) + -2)**2.
-8*sqrt(7) + 32
Simplify sqrt(24)/sqrt(108) + -5*(sqrt(2)*-1)**2.
-10 + sqrt(2)/3
Simplify 5*(-1 + sqrt(1088) + 2).
5 + 40*sqrt(17)
Simplify (sqrt(280)/sqrt(7)*-2)/sqrt(8) + 2.
-2*sqrt(5) + 2
Simplify sqrt(19) + sqrt(19) + 1 + sqrt(19) + 5 + -5 + -2 + sqrt(19).
-1 + 4*sqrt(19)
Simplify (sqrt(57)/(sqrt(3) - sqrt(108)) - -6*(sqrt(19) + 0))**2.
15979/25
Simplify (0 + sqrt(325) + -5)*-1.
-5*sqrt(13) + 5
Simplify (sqrt(1573) + -4 + 1)**2.
-66*sqrt(13) + 1582
Simplify 4*4*(sqrt(17) - sqrt(153)).
-32*sqrt(17)
Simplify -3 + (-1 + sqrt(1300))**2.
-20*sqrt(13) + 1298
Simplify (-2*sqrt(704)*-2 + 4 + -3)**2.
64*sqrt(11) + 11265
Simplify (sqrt(48) + -1)**2.
-8*sqrt(3) + 49
Simplify (-3*sqrt(304)*-2)**2.
10944
Simplify sqrt(108)*-5 + 4.
-30*sqrt(3) + 4
Simplify 3 + -2 + sqrt(343) + sqrt(7).
1 + 8*sqrt(7)
Simplify (-1*sqrt(325))**2 + 4.
329
Simplify ((sqrt(1300)*2 + sqrt(1300))*1)**2.
11700
Simplify sqrt(64)/sqrt(2) + (sqrt(12)/sqrt(2))/sqrt(3).
5*sqrt(2)
Simplify 1*sqrt(49)/(sqrt(14)/sqrt(2)) - (-2*sqrt(448))**2*1.
-1792 + sqrt(7)
Simplify (sqrt(1216) + 0)**2 + 1.
1217
Simplify (-1*((sqrt(192) + 0)*4 + -5 + sqrt(192)*-1))**2.
-240*sqrt(3) + 1753
Simplify sqrt(3) + sqrt(6)/sqrt(2) + -1 - sqrt(75)*2.
-8*sqrt(3) - 1
Simplify (sqrt(11) + (sqrt(99) + sqrt(99)*-3)/sqrt(9))*-2*3.
6*sqrt(11)
Simplify sqrt(1573)*-3 + -2.
-33*sqrt(13) - 2
Simplify 3*(2 + (sqrt(102)*1)/sqrt(6)).
6 + 3*sqrt(17)
Simplify (0 + sqrt(1088) + -2 - sqrt(1088) - (2 + sqrt(1088) + -1))**2.
48*sqrt(17) + 1097
Simplify 4*((-2*sqrt(3))**2*1 + 5).
68
Simplify (4*(-1*sqrt(7) + 0))**2.
112
Simplify (((sqrt(68) - -2*sqrt(68))*3)/(-5*sqrt(4)*-2))**2 + -3.
1077/100
Simplify (2*sqrt(567) + -5)**2.
-180*sqrt(7) + 2293
Simplify (2*(sqrt(396) + -1 + -3 + sqrt(396))*-1)**2.
-384*sqrt(11) + 6400
Simplify 4*sqrt(12)/sqrt(4)*6.
24*sqrt(3)
Simplify sqrt(17) + 1 + sqrt(153) + sqrt(68)*-4.
-4*sqrt(17) + 1
Simplify ((sqrt(110) + sqrt(110)*4 + sqrt(110))/sqrt(10))**2*1.
396
Simplify (-3 + (sqrt(13) - (sqrt(13) + -2)) - 3*sqrt(208))*3.
-36*sqrt(13) - 3
Simplify sqrt(60)/sqrt(192) + 4 - (4 + -1 + (sqrt(5) + 0 - sqrt(5)))**2.
-5 + sqrt(5)/4
Simplify (1*sqrt(5760))/(2*sqrt(40)/sqrt(5)).
6*sqrt(5)
Simplify (sqrt(34)/(sqrt(6)/(sqrt(21)/sqrt(7))))**2.
17
Simplify ((sqrt(405) + (sqrt(405) - ((sqrt(405) + (sqrt(405) - (sqrt(405) - (sqrt(405) + sqrt(405)*-2))) - sqrt(405)) + sqrt(405))))/sqrt(9))**2 + -2.
178
Simplify sqrt(68)/(sqrt(20)/(sqrt(5)*-1)).
-sqrt(17)
Simplify (sqrt(832) + sqrt(832)*1 - sqrt(832) - sqrt(832))*5.
0
Simplify (sqrt(78) - ((1*-2*sqrt(78) - sqrt(78)) + sqrt(78) + sqrt(78) - sqrt(78)))/(sqrt(6) - sqrt(36)/sqrt(54)).
9*sqrt(13)/2
Simplify ((sqrt(3) + 6*sqrt(27))**2 - (sqrt(27)*3)**2)*6.
5040
Simplify 2 + (2 + (sqrt(99))**2*-1)*-6.
584
Simplify (5 + sqrt(7) + 0)*6.
6*sqrt(7) + 30
Simplify (-2 + 1 + sqrt(60)/(sqrt(12) + sqrt(108) + -2*sqrt(108)))**2.
sqrt(5) + 9/4
Simplify 3*(2 + sqrt(75))**2.
60*sqrt(3) + 237
Simplify ((sqrt(8)*-2)**2 - (sqrt(32) + -3))*3*-2.
-210 + 24*sqrt(2)
Simplify sqrt(3) + sqrt(12)/sqrt(4)*6 - (sqrt(3) + 1*sqrt(3) + 1).
-1 + 5*sqrt(3)
Simplify ((sqrt(98)*-1 - sqrt(98)) + sqrt(98))**2 + sqrt(72) + 2.
6*sqrt(2) + 100
Simplify (sqrt(119)*-1)/sqrt(7)*-2 + 2.
2 + 2*sqrt(17)
Simplify sqrt(2187) - (5 + sqrt(2187) + -2*sqrt(2187)).
-5 + 54*sqrt(3)
Simplify (2*sqrt(1584) + 1)**2.
48*sqrt(11) + 6337
Simplify (4*(sqrt(539) + sqrt(539) + -1)*-6)**2.
-16128*sqrt(11) + 1242432
Simplify (sqrt(11) - (sqrt(396) + 0)) + sqrt(44)/sqrt(144).
-29*sqrt(11)/6
Simplify (sqrt(396) + 4 + sqrt(11) + sqrt(1100)/sqrt(4) + sqrt(11))**2.
104*sqrt(11) + 1875
Simplify ((sqrt(17)*3)**2 - sqrt(17)) + -2 - (sqrt(17) + sqrt(170)/(sqrt(10)*-4)).
-7*sqrt(17)/4 + 151
Simplify sqrt(42)/(2*sqrt(726) - sqrt(726))*-6.
-6*sqrt(7)/11
Simplify 4*(1*sqrt(192))**2.
768
Simplify sqrt(20)/(sqrt(20)/sqrt(2)) - sqrt(22)/(-2*sqrt(11)).
3*sqrt(2)/2
Simplify (sqrt(42)/(2*sqrt(6)))**2*6.
21/2
Simplify (-2 + sqrt(102)/((sqrt(6) + sqrt(6)*-2)*-3))**2.
-4*sqrt(17)/3 + 53/9
Simplify (2*-1*sqrt(931) - ((-1 + sqrt(931))*-1 + sqrt(931)))**2.
28*sqrt(19) + 3725
Simplify (-1*-2*sqrt(17)*5)**2.
1700
Simplify (sqrt(3) + (sqrt(75)*4 - sqrt(75))**2)*-4.
-2700 - 4*sqrt(3)
Simplify sqrt(38)/(sqrt(8)/sqrt(4))*-3.
-3*sqrt(19)
Simplify -6*(0 + (sqrt(637) - 4*(-1 + sqrt(637))) + sqrt(637)).
-24 + 84*sqrt(13)
Simplify (sqrt(55) + ((sqrt(220) - -3*sqrt(220)) + sqrt(220))/sqrt(4))/((sqrt(11)*2 - sqrt(11))*-1).
-6*sqrt(5)
Simplify ((sqrt(14) - sqrt(42)/sqrt(3))*-3)/sqrt(7).
0
Simplify (-5 + 5*sqrt(275)*-2)*-1.
5 + 50*sqrt(11)
Simplify 0 + (-5 + 1*sqrt(7))**2 + -5.
-10*sqrt(7) + 27
Simplify (sqrt(200)/(sqrt(30)/sqrt(3)))/(sqrt(30)/(sqrt(9)/sqrt(3))).
sqrt(2)
Simplify 1*(4 + (sqrt(13) - ((sqrt(13) + -2)*-2)**2)).
-64 + 17*sqrt(13)
Simplify 3*( | {
"pile_set_name": "DM Mathematics"
} |
- 396/84. Let w be r(g). Suppose -3*m = w*q - 517, 0*q = 5*q + 2*m - 1265. Is q composite?
False
Suppose -18*h = b - 22*h - 8793, 5*b - 44075 = -2*h. Is b a prime number?
False
Let z be -1 - (1 + 0) - 87. Suppose -3*d - 13*h = -17*h - 18, -2*d = h + 10. Is (d - z) + (-8)/(-4) a prime number?
True
Suppose 67*i + 72763317 = 313*i + 9708351. Is i a prime number?
False
Suppose 18*d - 47133 = 890928 + 364761. Is d a prime number?
True
Suppose 0 = -5*t - 818 + 6638. Suppose -169 = 14*c + 11269. Let o = t + c. Is o a prime number?
True
Suppose -11700 + 2544 = 6*w. Let s = 4873 + w. Is s a composite number?
False
Let l be (-1149)/(-9) - 20/(-15). Suppose z + 2*q + l = 0, -4*z - 10*q - 506 = -7*q. Let n = z - -342. Is n prime?
False
Suppose -2*b - 3*h = 27, -4*h + 34 = -3*b - 2*h. Let o(g) = -2*g**3 - 5*g**2 - 3*g + 47. Is o(b) a prime number?
True
Suppose 0 = -18*t + 82*t + 135*t - 29488417. Is t a composite number?
True
Suppose -v + 3*c + 301432 = 0, -2*v + 12*c = 11*c - 602889. Is v composite?
False
Suppose 5*w - 29 = -4. Suppose 21 = 2*u + d, -w*u = 4*d - 72 + 12. Is 2/u*(0 - -4772) a prime number?
True
Let i = -15579 + 32978. Is i a prime number?
False
Is 18/99*22 + 1274 + -1 composite?
False
Suppose -33506 = -26*r + 108974. Suppose -5*p = -n - r, n = -3*p + 235 + 3061. Is p a composite number?
False
Suppose -48*o + 40*o - 24 = 0. Is 12/o*(-529)/4 a prime number?
False
Let t(w) = w**2 - 25*w - 146. Let u be t(-5). Is (-9)/(-6)*((-188148)/(-18) + u) prime?
False
Suppose -7*o = -3*o - 2*d - 8388, o + 4*d - 2115 = 0. Suppose -o = -5*n + 4*n. Is n a prime number?
True
Let p = -97 - -278. Suppose v + 2*z + 2*z = p, 0 = -2*v + z + 317. Is v prime?
False
Is (-244*27/108)/(2/(-1042)) a prime number?
False
Let l be 3/(((-4)/(-799 + -1))/(-2)). Suppose 2*v + 6090 = -2*f - 2*f, 0 = -4*f - 4. Let h = l - v. Is h prime?
False
Let x be ((-4)/(-2))/(6/(-675)). Let a = -86 - x. Suppose -u = 12 - a. Is u a composite number?
False
Suppose 49469 + 516701 = 10*n. Is n composite?
True
Let s be 0/(-4 + 8) + 3. Suppose 3*f = 4*u + 4197, s*u - 4*f - 2126 = 5*u. Let k = u - -2168. Is k composite?
True
Let q be (12229/4)/(1/(-8)). Let b = 51675 + q. Is b composite?
True
Suppose -11*j + 25 = 3. Suppose -1225 - 9947 = -4*k - 4*y, j*k + 3*y - 5582 = 0. Is k prime?
True
Suppose -27874 = -43*m + 29*m. Suppose 0 = -4*k + 3*v + 9618 - m, -5*v - 5 = 0. Is k composite?
True
Suppose 4*v + 5*x - 1831 = v, 3*v - 3*x = 1815. Let a(d) = -8*d + 51. Let c be a(6). Suppose 0*i + 5*i - v = -4*h, -c*i = 15. Is h a composite number?
True
Suppose 0 = 194*k - 206*k + 2014332. Is k a composite number?
False
Is -9*(-10)/(-540)*-44994 composite?
False
Let q(r) = -1255*r**2 - 4*r - 16. Let w be q(-2). Let g = -659 - w. Is g a composite number?
True
Suppose -2*b - 10200 = -2*h - 3*h, -4*b = -20. Let v = h + -1099. Is v a composite number?
True
Suppose 0 = 3*s - 59*x + 58*x - 163385, -3*x + 12 = 0. Is s a prime number?
False
Let q(h) = 2*h**3 + 205*h**2 + 230*h - 301. Is q(-90) prime?
True
Is (-10)/36 + (-1)/(-6) - (-120984408)/486 composite?
True
Let z(x) = 136*x + 33. Let h(i) = -68*i - 16. Let q(j) = -7*h(j) - 3*z(j). Is q(8) prime?
True
Let f be ((-24)/4)/(-6) - 1400. Let s = f + 4782. Is s composite?
True
Let a(q) = -q**2 + 12*q - 2. Let z be a(12). Let g be z/7 - 176/(-77). Suppose 4*p - 2791 = -t, -g*p - 3482 = -7*p + t. Is p a prime number?
False
Let b(h) = 11*h**2 - h - 39. Let s be b(8). Let a = s - -16. Is a a prime number?
True
Let t = 25 + -25. Suppose t = -9*l + 3951 + 5094. Is l/(-2)*38/(-57) a prime number?
False
Suppose -4*n - 5*c - 11905 = 20582, -c = -4*n - 32517. Is (-1 + 0)/(n/(-2712) - 3) a prime number?
False
Suppose 0*g = -14*g + 112. Suppose -g*j + 9*j = 0. Is (-1 + j)/((-5)/11245) a composite number?
True
Suppose 0 = -3*l - 9*l - 5478912. Is -2 + (-22)/(-14) - l/84 prime?
False
Let z(j) = j**3 + j**2 + 2*j + 120. Let t be z(0). Let u(q) = t*q + 266*q - 9 - 118*q. Is u(2) prime?
False
Suppose l = -5*l + 312. Is 8/l - 31861/(-13) - -2 composite?
True
Let l(v) = v**3 + 3*v**2 - 2*v - 4. Let s be l(-3). Let m(a) = 2*a + 0*a + a + a**s + 1 - a**3. Is m(-6) a prime number?
False
Suppose -400*h + 171152392 + 133846408 = 0. Is h a prime number?
False
Suppose -28074 = 54*j - 60*j. Let b = 6906 - j. Is b prime?
False
Let d(f) = f**2 - 5*f - 1613. Let k be d(0). Let x = 2508 + k. Is x prime?
False
Let d = 529135 - 1853052. Is d/(-84) + 1/12 a prime number?
True
Let w be (2/4)/(4 - (-1722)/(-432)). Let j(d) = 40*d + 103. Is j(w) a prime number?
True
Let t(j) be the second derivative of -89*j**3/3 + j**2/2 + 11*j. Let x be t(-2). Suppose b = -2*b + x. Is b prime?
False
Suppose 5*y - 824800 = 5*w, -35*y + 659777 = -31*y + 5*w. Is y a composite number?
False
Let q = 350 - 340. Let g(o) = o**3 - 2*o**2 - 28*o + 1. Is g(q) a composite number?
False
Let n(l) = -97480*l - 99. Is n(-2) a prime number?
True
Is (-391076914)/(-1898) - 4/(-26) prime?
True
Suppose -825*z = -829*z + i + 225409, 5*z - 281735 = -4*i. Is z a prime number?
False
Let y = 70807 - 27146. Is y composite?
False
Suppose -12453806 = -44*b - 54*b + 9566304. Is b a prime number?
False
Let v = -263 - -268. Suppose 3927 = v*m - 2*o, o = -0*m - 3*m + 2365. Is m a prime number?
True
Let z(o) = 4505*o - 4. Is z(7) composite?
False
Suppose -1561*a = -1532*a - 482009. Is a prime?
False
Suppose 39 + 31 = -7*m. Is -5*(-22)/275 + (-5326)/m prime?
False
Let h = -1517 - -1521. Let m(b) = -b**2 - 8*b + 3. Let g be m(-8). Suppose -r + 683 = h*v, -g*v + 1198 = 2*r - 178. Is r prime?
True
Suppose -689*d = -687*d - 288142. Is d composite?
False
Let g(s) = 25770*s**2 - 19*s - 37. Is g(-2) composite?
True
Let b be -3251 - (7/(-2) + (-24)/(-48)). Is b/(7 + -14) - -2 prime?
False
Suppose 117 = 3*a - 5502. Suppose 72 = -2*u + 5*q, 4*u + 2*q + 122 = -u. Let d = u + a. Is d a composite number?
False
Suppose 6*q = -55 + 73. Is 2182*1/6 + 4/q a prime number?
False
Let a(u) = 10607*u**2 - 15*u + 2. Let b be a(-2). Suppose 15413 + b = 3*h. Is h prime?
False
Suppose -p + 112984 = 5*g, 0 = -14*g + 10*g - 3*p + 90385. Let z = g - 14084. Is z a composite number?
False
Let n(y) = 277*y + 151. Let l(d) = d**2 - 7*d + 20. Let s be l(8). Is n(s) a prime number?
True
Let n = -63 - -73. Let x(m) = -54*m**2 - 11*m - 2. Let f be x(n). Let q = -3889 - f. Is q composite?
True
Suppose 5*l - 6 = 14. Suppose l*w + 3*v + 57 - 10 = 0, 36 = -3*w - 3*v. Is (557/(-2))/(w/22) a prime number?
True
Suppose 4*b - 24 - 4 = -3*o, 2*b + 8 = 4*o. Suppose 0 = -2*c - b*d, 0 = 5*c - 5*d + 5 - 20. Is 377 - ((-8)/8)/(1/c) composite?
False
Suppose 2*m - 13 = p, -2*m + 5*p - 10*p - 17 = 0. Is m - (-1 + (-4 - 0) - 202) a prime number?
True
Suppose -33*w = -20*w - 1809197. Is w a prime number?
True
Let f(w) = -169*w - 6. Let q(c) = 1. Let x(n) = f(n) - q(n). Is x(-2) prime?
True
Let r(q) = -q**3 + 3*q**2 + 5*q - 4. Let n be 1/((-4)/(-20 - -4)). Let a be r(n). Suppose a = c + 2*c - 1113. Is c composite?
True
Let s(f) = 28*f**2 - 3*f + 1. Let j be s(1). Let w = -22 + j. Suppose 4*i - 4*b - 436 = 0, -b + w*b + 101 = i. Is i composite?
False
Let n(x) = x**2 - 5*x - 2. Let c be n(6). Suppose -2*g - 5*m + 13 = 0, -6*m = 4*g - c*m - 2. Let j(a) = -984*a + 5. Is j(g) composite?
True
Let n(m) = -4*m**2 - m**2 + m**3 + 4*m**2 - 1. Suppose 34*j + 2*u = 35*j - 8, -3*j + 3*u + 27 = 0. Is n(j) composite?
True
Let b(l) = -18*l - 36. Let p be b(-4). Suppose 0 = -32*f + p*f - 6964. Is f a prime number?
True
Suppose -2*g = -s - 83513, 4*g + 57970 = s + 225001. Is g prime?
True
Let a(h) = 14*h + 2. Let r be a(0). Let p be 0 + (18960/(-3))/(-2). Suppose -z + 2*z - 1581 = -r*k, -4*z + p = 4*k. Is k a prime number?
False
Let r(x) = 2*x**3 - 9*x**2 + 18*x - 73. Let w(z) = z**3 - 1. Let q(y) = r(y) - 4*w(y). Is q(-20) prime?
True
Let x = 14706 + -22578. Let j = x - -14941. Is j a composite number?
False
Let t = -107916 - -295265. Is t prime?
True
Let j be -6*8/(-22) - (-4)/(-22). Suppose -j*q = 5*q + 7. Let t = 30 - q. Is t composite?
False
Let n(m) = 2*m**3 - m**2 - m - 3. Let p be n(9). Suppose 0 = -k + 5*s - p, -4*k - 5424 = -2*s - 0*s. Let i = k - -1986. Is i a prime number?
True
Let q be ((-6)/(-18) - (-5962)/6)*1. Let j = q + -332. Is j a composite number?
True
Let s = -716 - -730. Suppose s*h + 23315 = 19*h | {
"pile_set_name": "DM Mathematics"
} |
ors of n(-3).
31
Suppose 3*h - 4 = 5*g, 4*h - 10 = 6*g - 4*g. Suppose 65 = 4*v - h*v. List the prime factors of v.
5, 13
Let k(a) = 18*a**2 - 7*a - 9. Let j be k(-3). Suppose 11*n = 8*n + j. What are the prime factors of n?
2, 29
Suppose 312 = 15*a - 18. List the prime factors of a.
2, 11
Suppose -j - 3*c = -208 + 45, -3*j = 5*c - 493. What are the prime factors of j?
2, 83
Suppose 0*u - 2*u = 2*m - 84, 4*u - 92 = -2*m. Let o = m - 13. What are the prime factors of o?
5
Suppose 24 = 4*q - 4*w, q - 4 = -5*w + 4*w. Let p(x) = x + 0*x - 3*x + x**2 - 6. List the prime factors of p(q).
3
Let x(q) = q**2 - 10*q + 19. Let c be x(8). Suppose -652 = -c*t - 5*v, 403 = 2*t + v - 27. What are the prime factors of t?
2, 107
Let m be ((-3)/(-6))/((-3)/(-6)). Suppose 2*t + m = -11. Let o = t - -11. List the prime factors of o.
5
List the prime factors of 9/(-6)*8500/(-6).
5, 17
Suppose 0 = 6*v - 0*v - 156. Suppose v*q = 14*q + 1572. What are the prime factors of q?
131
Let g = -34 + 72. Let j = 92 - g. Suppose 3*b - j = 18. List the prime factors of b.
2, 3
Suppose -3*w - w = -12. Suppose -113 = w*r - 602. List the prime factors of r.
163
Let v(l) = 2*l - 9. Let t be v(6). Let c be 2 + (3 - (5 - t)). Suppose -78 = -c*f - 3*r, -5*r - 2 = -f - 0*r. What are the prime factors of f?
2, 11
Let x(q) = -29*q - 7. Let i be x(-5). Let a = 199 - i. List the prime factors of a.
61
Suppose -6*m = -11*m + 15. Let q = 0 + m. List the prime factors of -3 + q + 12 - 1.
11
Let u(v) = 112*v - 135. What are the prime factors of u(10)?
5, 197
Let u = -1139 - -3153. List the prime factors of u.
2, 19, 53
Let c be 33 - (4 + -1 + 0). Let l = c - 25. Suppose 4*j + 31 = l*j. What are the prime factors of j?
31
Suppose 2*u + 0*x = -x + 3, x + 6 = u. Suppose -3*k = -9, 384 = f + u*k + 123. List the prime factors of f.
2, 3, 7
Let s(w) = -w**3 - 23*w**2 + 15*w + 206. List the prime factors of s(-26).
2, 461
Let t be ((-2)/1)/(-2 + (-8)/(-6)). Suppose t*l + 727 = 5*m, l = 2*l - 1. List the prime factors of m.
2, 73
Suppose 0 = -6*d - 1 - 29. Let k(p) = 5*p - p**2 - 6*p - p**3 + 3*p - 12. List the prime factors of k(d).
2, 3, 13
Suppose -2*q + 6 = -q. Suppose 2*m - 4*r = -2, 0 = -4*m + q*r - r - 1. Suppose k - 3 = m. What are the prime factors of k?
2
Let u be 1310/18 - (33/(-27) + 1). Suppose -u = 2*x - 5*x - 4*i, -5*x + 160 = -i. What are the prime factors of x?
31
List the prime factors of -3 - (-6 - (910 + 4)).
7, 131
Let g(s) = 3*s - 7. Let b = 23 - 20. Let w be g(b). Suppose 0*y + 64 = w*y. What are the prime factors of y?
2
Let y(z) = -z**3 - 8*z**2 + 2*z + 10. Let b be y(-8). Let a = b + 18. Let d = a + 3. What are the prime factors of d?
3, 5
Let u be 1*(-2 + 2) + -9. Let f(b) = -2*b**2 + 7*b + 6. Let n(g) = -g**2 + 8*g + 8. Let o(i) = -2*f(i) + 3*n(i). What are the prime factors of o(u)?
3
Suppose 2*u - 784 = -232. List the prime factors of u.
2, 3, 23
Suppose -1746 = -8*h + 670. What are the prime factors of h?
2, 151
Suppose -3*v - 1 = m - 5, 2 = 4*m - 2*v. List the prime factors of m/(246/243 + -1).
3
What are the prime factors of 1/11 - 237544/(-253)?
3, 313
Suppose -6 + 2 = -z. Let h be 16 - 4*z/16. Suppose -2*a = l - h, -l + 2*a + 11 + 20 = 0. What are the prime factors of l?
23
Let b(l) = -124*l**3 + 1. Let h be b(-1). Let i = 43 - h. Let q = -46 - i. List the prime factors of q.
2, 3
Let s be 52/10 + 3/(-15). Suppose 0 = o - 0*o - s. List the prime factors of 208/o - 20/(-50).
2, 3, 7
Let r(b) = -b - 50. Suppose -5*m + 2*u = 4 - 14, -4*m = -5*u - 25. Let d be r(m). Let h = d + 90. List the prime factors of h.
2, 5
Suppose 4*c - 626 = -q, 2*c = -4*q + 2786 - 338. Suppose 4*f + s + 0*s = 501, -5*f + q = -2*s. List the prime factors of f.
2, 31
Suppose 376*f - 384*f = -1376. List the prime factors of f.
2, 43
Suppose 0 = -7*h + 8*h - 123. List the prime factors of h.
3, 41
Let f = 94 - 89. List the prime factors of (f - 3)*73 - -2.
2, 37
Let c = 2002 + 1256. List the prime factors of c.
2, 3, 181
Let p(c) = 3*c**3 + 2*c**2 + 9*c - 82. What are the prime factors of p(7)?
2, 277
Let u be (0 + 3 - 3)/4. Suppose -5*c + u*c + 138 = -3*g, 2*c + 2*g = 52. List the prime factors of c.
3
Let t = 50 + 684. What are the prime factors of t?
2, 367
Let w = 10 + -5. Let u be 76 - 0*1/(-3). List the prime factors of (u/20)/(1/w).
19
Let l(d) = d**2 + d - 1. Let t be l(4). Suppose -t = -3*j + x, -2*j - 9 = -3*j - x. Suppose -4*f = -j*f + 180. What are the prime factors of f?
2, 3, 5
List the prime factors of (-204)/(-136)*5/((-30)/(-13652)).
3413
Let i(b) = 0*b**2 + 0*b**2 + b**2 - 3*b + 34 + b. What are the prime factors of i(0)?
2, 17
Let v = -35 + 33. Let s be (-2 - 2 - v) + -76. Let w = s + 146. List the prime factors of w.
2, 17
Suppose -d - 4*w = -3*w, 5*d = w - 18. Let q(h) be the first derivative of 2*h**3/3 + h**2/2 - h - 80. What are the prime factors of q(d)?
2, 7
Let z(o) = 8*o - 7. Let s be z(3). Let d = s + -12. Suppose -5*r = -3*n - 0*n + 138, -4*r = d*n - 193. What are the prime factors of n?
41
Let p be ((0 - 0) + 1)*12. Suppose -5*l - p = 13. What are the prime factors of ((-7)/(-4))/(l/(-20))?
7
Let k be 42/10 - 9/45. Let n = k - -2. Suppose s = -n + 33. List the prime factors of s.
3
Suppose 0 = -5*g + 5, 2*g - 1 = b - 44. What are the prime factors of b?
3, 5
Let j(r) = 600*r**2 + 13*r - 22. List the prime factors of j(2).
2, 601
Suppose -s - 3*t = 30 + 36, -5*t - 210 = 3*s. Let f = 66 - s. What are the prime factors of f?
3, 47
Suppose -19*h + 12*h - 343 = 0. Let t(b) = b**3 - 3*b**2 + 4*b + 6. Let o be t(5). Let a = o + h. What are the prime factors of a?
3
Let w = 162 - -114. What are the prime factors of w?
2, 3, 23
Let b = -309 - -2452. What are the prime factors of b?
2143
Let v be 21/(-12)*4/(-1). Let g be 63/v*(-2)/(-3). Suppose -3*j + 4 = -t, 3*t = -0*t + g. What are the prime factors of j?
2
Let a(b) be the second derivative of -b**3/3 - 7*b**2/2 + b. Suppose 0 = -4*f - 12 - 20. What are the prime factors of a(f)?
3
Suppose -2*c + 30 = 26. Let r(w) = w**3 - 2*w**2 + 2*w - 2. Let k be r(c). Suppose 0 = -3*t + 2*b + k*b + 122, 5*t + b = 165. List the prime factors of t.
2, 17
Suppose -3*m = 2*v - 283, 3*v = 3*m - 181 - 107. Suppose 349 + m = 4*a. List the prime factors of a.
3, 37
Let q be 93/((-12)/(-16)*2). List the prime factors of q + (0 - 3/1).
59
Let l be -17 - (0 + (-8)/(-4)). Let v = l - -23. Suppose 0 = v*w - 8*w + 100. List the prime factors of w.
5
Let y = 14 - 13. Let r be (-3)/(y*1/(-1)). Suppose 23 = r*h + 2*d + 3, 2*h = 4*d + 40. List the prime factors of h.
2, 5
Suppose -25*m = -15*m - 5030. List the prime factors of m.
503
List the prime factors of (-25)/10*2 + 2643 + -8.
2, 5, 263
Suppose -2*z = d - 4 + 1, 2*d - 8 = -2*z. Suppose 0 = 4*r - 5*g + 95, 2*r - 3*r - 5 = -d*g. List the prime factors of r*4/(-6) - -1.
3, 7
Let t be 74/9 + (-2)/9. Let y be 0/1*(-4)/t. Suppose y = -r - 11 + 43. What are the prime factors of r?
2
Let c = -78 + 78. Suppose o + 106 + 251 = 4*g, -4*g - 5*o + 351 = c. List the prime factors of g.
89
Let x be 3/(18/4) + 232/(-24). Suppose 0 = -o - 1. List the prime factors of o/1 + (49 - x).
3, 19
Suppose 2*p + 3*m - 698 = 0, 3*p - 42*m + 37*m - 1066 = 0. What are the prime factors of p?
2, 11
Let d(l) = 4*l + 51. Let z be d(-12). Suppose -236 = 5*y + 2*a - 917, 403 = z*y + 4*a. List the prime factors of y.
137
Let t(c) be the third derivative of 0 + 0*c**3 + 1/24*c**4 - c**2 + 0*c + 2/5*c**5. What are the prime factors of t(-1)?
23
Let u(x) = -x**3 + 6*x**2 + 4*x. Let z(a) = -a**2 + 14*a - 7. Let w(k) = k**3 + 9*k**2 - k + 4. Let b be w(-9). Let t be z(b). List the prime factors of u(t).
2, 3
Suppose -22 = -5*y + 28. Let u be (-12)/y*(-220)/6. Suppose 0 = 2*n + 3*z - u, 2*n + 83 = 5*n - 4*z. List the prime factors of n.
5
Suppose 2 = -6*t + 14. Suppose b = -t*g - 9, -5*b - 2*g - 21 = -0*g. Let w(f) = -f**3 - 3*f - 2. What are the prime factors of w(b)?
2, 17
Suppose -18565 = -16*s - 2821. List the prime factors of s.
2, 3, 41
Suppose 0 = -46*u + 10*u + 1044. List the prime factors of u.
29
Let n be 1/((-22)/24 - -1). Let t(c) = -c**3 - 3*c**2 + 2*c + 6. Let x be t(-3). Suppose -4*h + 5 = -3*p + 6, 3*h + 2*p - n = x. List the prime factors of h.
2
Let j = -20 - -14. Let f(w) = -2*w - 18. Let m be f(j). Let o(y) = 2*y** | {
"pile_set_name": "DM Mathematics"
} |
ress 69*t**2 - 61*t**2 - 235*t**2 as a*t**2 + r + f*t and give a.
-227
Rearrange 13 + 7 - 153*w - 22 + 3 to d + s*w and give d.
1
Express 30*f - 4*f**2 + 0*f**3 - 15*f - 16*f - 2*f**3 + 7*f**4 - 1 as u*f**2 + o*f**4 + i + a*f**3 + s*f and give s.
-1
Rearrange 854*f + 2 + 240*f - 278*f + 172*f - 220*f to g*f + p and give g.
768
Rearrange ((1 - 5 - 4)*(-22 + 15 + 8) - 2 + 0 + 1)*(-n - 2 - 3 + 6) to w*n + g and give g.
-9
Express (-25 - 8 - 1 + a)*(-6 + 2 - 5) in the form m*a + c and give c.
306
Express 26*f - 9*f + 4*f - 7*f - 17 + 6*f in the form u*f + c and give u.
20
Express (11 - 32 - 34 - 25)*(5*s - 3*s + s) in the form f + c*s and give c.
-240
Express (11*b**2 - 11*b**2 + 3*b**3)*(-8 + 11 - 11*b - 1) as o + u*b + z*b**4 + l*b**2 + p*b**3 and give p.
6
Rearrange (0*j + 0*j - 2*j**2)*(-361*j**2 - 1666*j - 399*j**2 - 1 + 763*j**2) to the form z*j**2 + f*j**4 + y + b*j**3 + i*j and give z.
2
Express 0*c + 2*c**4 + 3*c**3 + c**4 + 3 + c**2 + 2*c + 0*c**2 - 4*c**4 as p*c + l*c**3 + r*c**2 + d*c**4 + v and give v.
3
Rearrange -4*v + 5*v + 9967 + 47*v**2 - 9967 - 4*v to the form j*v**2 + f + c*v and give j.
47
Rearrange 122*l**3 - 225*l - 309*l**3 + 186*l**3 to p*l**3 + g*l**2 + j*l + k and give j.
-225
Express 39*z - 37*z + 256 - 7 in the form j*z + a and give j.
2
Express 12 - 136*f**3 - 2 - 3 + 130*f**3 in the form k*f + p*f**3 + o + u*f**2 and give o.
7
Rearrange (0*y - 194 - 28*y + 25*y)*(-1 + 4 - 2) to the form a + j*y and give j.
-3
Express (-9*a - 6*a + 81*a)*(-4 - 2*a**3 + 4) + (-3*a + 1 - 1)*(a**3 - 5*a**3 + 2*a**3) as v + j*a**3 + k*a + z*a**4 + s*a**2 and give z.
-126
Express 0*a**2 + 2*a**2 - 8*a**3 - 55 - a**3 + 11*a**3 - 3*a - 4*a**3 in the form y*a + b*a**2 + m + z*a**3 and give m.
-55
Express 25*r**2 + 8*r**2 - 7*r**2 + 1 - 13*r**2 as g + j*r + s*r**2 and give g.
1
Rearrange -196*x + 194*x - 789 + 197 - 17 to s + b*x and give s.
-609
Rearrange 6*n**2 - 8*n**2 + 6*n**2 - 48*n - 3*n**2 to t*n**2 + o*n + i and give o.
-48
Rearrange 12 + 45*s**2 - 21*s**2 - 2*s + 3 - 31*s**2 - 5 + 2*s**4 to the form n*s + x*s**4 + q*s**3 + a + d*s**2 and give q.
0
Express -1 - 2*n**3 + 1 + (-19*n**2 - 32*n**2 + 11*n**2)*(n + 2*n + 2*n) as f + c*n**2 + i*n + r*n**3 and give r.
-202
Express -149918*x + 149918*x + 454*x**2 + (-6*x + x + 3*x)*(x + 4 - 4) in the form s*x**2 + o + c*x and give s.
452
Rearrange 137*t + 25*t + 11*t to the form k*t + f and give k.
173
Rearrange 2*u**2 + u**3 - 319*u + 0*u**2 - 2 - 6*u**2 + 250*u + 3*u**2 to n*u + b*u**2 + q*u**3 + i and give i.
-2
Rearrange -4879*c + 4879*c + 323*c**2 to u*c + a + z*c**2 and give z.
323
Express 18*m**2 - 108*m - 10*m**2 - 10*m**2 as w*m**2 + s*m + g and give w.
-2
Rearrange -10*t - 9*t + 6*t**2 + 3*t - 11*t - 12*t**2 to the form b + m*t**2 + q*t and give m.
-6
Rearrange 279*k**2 + 233*k**2 + 252*k**2 - 223*k**2 + 225*k**2 to the form p*k**2 + m + q*k and give p.
766
Rearrange -56*x + 103*x - 3*x**3 - 48*x - 5*x**3 - 21*x + 21*x + (-x**2 + x**2 - 2*x**3)*(-1 + 5 - 5) to h*x**3 + b + v*x + l*x**2 and give v.
-1
Rearrange -451*d**2 + 216*d**2 + 206*d**2 + 8*d**3 + 4*d to the form u + j*d**3 + w*d**2 + z*d and give w.
-29
Express 30*z + 3*z**3 - 102*z + 71*z + 12 as g*z + s*z**3 + o + a*z**2 and give s.
3
Rearrange (-6 - 12 - 12*g + 13)*(-4 + 2 + 3) to the form u*g + k and give u.
-12
Rearrange 0*s + s**3 - 647 + 0*s + 8 to u*s + h*s**3 + v*s**2 + d and give h.
1
Express -76*j**3 - j - 15*j + 449*j**3 + 12*j + 37*j**3 in the form z*j + r + q*j**2 + p*j**3 and give p.
410
Rearrange 3 + 0*r**4 + 1 - 17*r - 6*r**2 - 16*r + 30*r - r**4 to g + x*r + a*r**4 + f*r**3 + v*r**2 and give x.
-3
Express -155*b + b**2 + 309*b - 536*b as c*b**2 + w + m*b and give m.
-382
Express 29*o**2 + 7*o + 19*o - 25*o as k + w*o**2 + g*o and give g.
1
Express 707*n - 199*n + 22*n + 336*n in the form k + r*n and give r.
866
Express (1 - 1 - 3*z)*(-1 + 0 + 2)*(55*z - 18*z - 68*z) - 4*z**2 + 5*z**2 + 2*z**2 in the form i*z + w*z**2 + j and give w.
96
Rearrange (-1076 + 2164 + 3207*x - 1088)*(1 - 1 - x) to w*x + s*x**2 + y and give s.
-3207
Rearrange 96*a + 7*a**2 - 14*a**2 - 95*a + 6*a**2 - a**3 to the form k + z*a**3 + t*a + g*a**2 and give z.
-1
Express 4*z - 3*z - 10*z + 2*z as j*z + n and give j.
-7
Express 181*m + 30 + 27 - 80 - m**3 + 25 as a + w*m**2 + f*m + b*m**3 and give f.
181
Express (-133*w + 7892 - 7892)*(w**2 + 0*w**2 - 2*w**2) as t*w**3 + l + u*w**2 + j*w and give t.
133
Rearrange -251*y - 825 + 825 to the form m + b*y and give b.
-251
Rearrange -t**3 + 2*t - 2*t + (-1 - 2 + 0)*(-3*t**3 + 2*t**3 - t**3) + (t**2 - 1 + 1)*(3*t - 3*t + t) to the form c*t + n + l*t**3 + p*t**2 and give l.
6
Rearrange -8*s**4 + 2*s - 206 + 4*s**3 - s**2 + 203 + 0*s to the form d*s**3 + c*s + u*s**4 + x*s**2 + k and give c.
2
Rearrange ((2*r - 2*r + r)*(3 - 1 - 1) + 0*r - 3*r + 4*r)*(5*r - r - r) + (5*r + 0*r + 2*r)*(2 - 4*r - 2) to the form v*r + l*r**2 + o and give l.
-22
Rearrange (-15*b**2 + 14*b**3 + 15*b**2)*(101 - 5 + 133) to the form h + f*b**3 + d*b + m*b**2 and give d.
0
Express (1 + 0 + 2)*(7 + 15 + 1)*(-2 + 2 + 4*m) as a + x*m and give x.
276
Express 2 - 159*g + 0 - 53*g + 310*g + 282*g as x*g + i and give i.
2
Express -383 + 36*y**2 + 380 + 60*y**2 in the form s*y + q + a*y**2 and give q.
-3
Express (0*z**2 + 0*z**2 + z**2)*(-2*z + 3*z + z) + 235 + 18*z**3 - 235 as n*z + p + s*z**2 + u*z**3 and give u.
20
Rearrange 1024*u - 335*u - 16 + 14 to j + s*u and give s.
689
Rearrange -9*m - 11*m**4 - 20*m**4 + 42*m**4 + m**2 - 16 - 12*m**4 to d + x*m + r*m**4 + k*m**2 + o*m**3 and give d.
-16
Express -2*m - 5*m**2 + 13*m - 3*m - 2*m - 8*m in the form g*m + x*m**2 + o and give x.
-5
Express -13*a + 2 - 3*a + 5*a + 4*a**2 + 43*a - 6*a in the form d*a + f*a**2 + p and give p.
2
Express 200 + n**2 - 2*n + 2*n - 67 - 94 as d*n + v*n**2 + f and give f.
39
Rearrange 0*p + 150*p**4 - 4*p - 149*p**4 - 5*p**2 + 3*p**2 to the form t + r*p + g*p**2 + o*p**3 + w*p**4 and give r.
-4
Rearrange 438*k - 822*k + 413*k - 3 - k + 3 + k + k - k - 1 - 2*k + 1 + (-3 + 3 - 2)*(3 - 2*k - 3) to b*k + c and give c.
0
Rearrange -4*t - 7*t - 150 + 18*t - 7*t - 2*t**2 to the form j*t + u*t**2 + z and give z.
-150
Rearrange -18 + 40*p - 6*p**2 - 37*p + 4*p**2 + 3 to a*p**2 + j + g*p and give j.
-15
Rearrange 23*t - 1 + 0 + 1 + 1 to the form m*t + b and give b.
1
Express 334 - 111 + 302*c - 109 - 114 in the form l*c + r and give l.
302
Rearrange (-6*r - 28 + 28)*(-4*r**2 - 4*r**3 + 4*r**2) + 18*r**4 - 34*r**4 + 27*r**4 to q*r**3 + i + l*r + u*r**4 + n*r**2 and give u.
35
Express 2*k**3 - 3*k**2 + 0 - 134*k**4 + 138*k**4 - 1 + 2*k in the form y*k**2 + a*k**3 + b + x*k + o*k**4 and give y.
-3
Express 4 + 3*o + 32*o**3 + 10*o - 34*o**3 as r + n*o**2 + a*o**3 + l*o and give l.
13
Rearrange -18*j**2 + 7*j**2 + 8*j**2 + 4 + 2*j to the form m*j**2 + d*j + s and give d.
2
Express -1005*b + 2803*b + 19 - 8 - 11 as y + h*b and give h.
1798
Rearrange -16 + 34 + 6*u**2 + 2 + 6 + 4 to the form r*u**2 + q + z*u and give q.
30
Rearrange (-3 + 0 + 2)*(-3 + 3 + k) + (1 + 3 - 5)*(-2*k - 2*k + 5*k + (2 - 1 + 1)*(7*k - 2*k - 3*k) + 2*k - 4*k + 0*k - k + 13*k - 77*k) to u*k + n and give u.
61
Rearrange 4*d + 207 - 7*d + 2*d to o + c*d and give o.
207
Express f**2 + 2*f**2 - 2*f**2 + (5*f**2 - 5*f**2 + 8*f**2)*(-2 - 1 + 2 + 4 + 2 - 2 + (1 + 1 - 4)*(2 - 3 - 1)) as k*f**2 + u + d*f and give d.
0
Rearrange -7 - 16*o**3 + 11 - 15*o**3 - 39*o**2 + 41*o**2 to the form l*o**3 + m + a*o**2 + y*o and give l.
-31
Express (-61 + 27 + 35 - 2*y + 47*y**2)*(y**2 - 3*y**2 + y**2) as g*y**4 + x*y + i*y**3 + o + n*y**2 and give i.
2
Express 349*z + 5*z**3 - 2*z**2 - 708*z + 356*z + 1 in the form k + d*z**2 + t*z + v*z**3 and give v.
5
Express -268*s + 7*s - 285*s + 59*s in the form k*s + w and give k.
-487
Express (-19*u**2 - 780*u**3 + 1 + 1585*u**3 - 796*u**3)*(-3*u + 5*u - u) in the form v*u**4 + h*u + k*u**3 + l + t*u**2 and give v.
9
Rearrange 45*x + 42*x - 158*x + 35*x**2 + 37*x + 41*x to a*x + k + d*x**2 and give a.
7
Express -3*t + 0*t**2 - 126 + 67 - 5*t**3 + 5*t - 4*t**2 + 60 as a*t**3 + r*t + i*t**2 + b and give a.
-5
Express -12*b - 14*b - 24*b**2 + 4*b**2 + 16*b as z*b**2 + t*b + o and give z.
-20
Rearrange (7*v - 26*v - 16*v)*((0 + 3 - 2)*(-4 + 4 - 2*v) + 12 + 0*v - 10 - 5*v) to | {
"pile_set_name": "DM Mathematics"
} |
lve l*d = 3*d for d.
0
Let r(v) = v**3 - 21*v**2 + 19*v + 20. Let d be 1044/52 - (-6)/(-78). Let g be r(d). Let t = -2 + 2. Solve t = -g*j - 3*j - 6 for j.
-2
Let s = -81 + 109. Let f = s + -28. Let g be f/((20/(-5))/(-4)). Solve 3*x - x + 8 = g for x.
-4
Let l = 795 - 265. Let n = -528 + l. Solve -14 = n*r - 14 for r.
0
Let l(h) = 3*h**2 - 226*h + 227. Let m be l(1). Let w = 0 - -5. Let v be (-6)/w*(m + (-52)/8). Solve 0 - v = -r for r.
3
Let r(c) = -c**3 + 15*c**2 + 28*c - 412. Let i be r(15). Solve -i*s - 4*s + 48 = 0 for s.
4
Let p(o) = 8*o - 53. Let b be ((-44)/99)/((-4)/18). Let r be (-21*4/(-6))/b. Let s be p(r). Solve -16 = s*v - 7*v for v.
4
Let m(t) = -337*t + 714. Let u be m(2). Solve 53*q - u - 13 = 0 for q.
1
Let p be -4 - (-11)/((-44)/(-52)). Let o(w) = -w + 9. Let h be o(8). Suppose 0 = -5*u + 3*f + 4, -4*u + 3 = -3*f + h. Solve -p = -u*v - v for v.
3
Let t = 3631 - 3618. Solve -t*m = 10*m + 46 for m.
-2
Suppose -c + 19 = 3*y - 5*y, 4*y + 56 = 4*c. Let k = 119757 - 119732. Solve -c*f + 4*f = -k for f.
5
Suppose -3*p = -5*l - 4*p + 20, -5*p = l + 20. Suppose -135 = l*k - 2*k. Let x be 20*(4 + k/12). Solve 5*t + 30 = x for t.
-5
Let s(z) = -z**3 + 47*z**2 + 138*z + 602. Let d be s(50). Suppose 0 = -3*o + 1 + 2. Solve -7 + o = -d*p for p.
3
Suppose -5*b + 5*p + 1013 = -172, 7*b - 5*p = 1647. Solve -44*a = -77*a + b for a.
7
Let m = 36574 - 36136. Solve 0 = -5*w + 398 - m for w.
-8
Let z = -2132 + 2279. Solve 0 = -30*f - 33 - z for f.
-6
Let t be (-69)/(-12) + 18/72. Suppose -s = 5*i - t, -7 = 5*i - s - 21. Solve 0 = i*q + 2 for q.
-1
Let p(v) = -v**3 - 48*v**2 + 380*v - 275. Let t be p(-55). Solve 7*o - 6 - 8 = t for o.
2
Suppose -335*m + 339*m = -448. Let t = m + 114. Let v = -12 + 27. Solve t*l - v = -l for l.
5
Let o(t) = 3*t + 1. Let x(r) = -16*r - 30. Let u(p) = -2*o(p) - x(p). Let i be u(-2). Solve -i = 3*f + 4 for f.
-4
Suppose 6*a - a = 0. Let o = 606 - 623. Let w(s) = s**2 + 27*s + 172. Let k be w(o). Solve a*y = k*y for y.
0
Let d be -1030*(6 - 26/4). Let y = -513 + d. Solve -6*p + y = -16 for p.
3
Let d be (-26)/(-13)*(-6)/4 + 8. Suppose 3*a + 2*g = 5*a - 40, -2*a + 26 = d*g. Solve a = -0*f - 6*f for f.
-3
Suppose -2*l - 3*t + 21 = 0, 3*t - 10 = t. Let c(q) = -q**2 - 2*q + 6. Let a be c(-3). Suppose -m = 2*r - 1 - a, 0 = 3*r - l. Solve y = -m*y for y.
0
Let w(h) = 2*h**2 - h - 11. Let y be w(6). Let c be 2/6 + y/15. Let f be (-3)/(-1) - (c + (4 - 9)). Solve 0 = -f*m + 4 - 0 for m.
1
Let t be 10/1*21*9/126. Suppose -4*d = -q - 4, 2*q - 2 = t*d - 12*d. Solve -18 = q*m - 10*m for m.
3
Let p(o) = -2*o**2 + 7*o + 24. Let x be p(5). Let h be 5 - (11 + (-72)/x). Solve -h*i - 3*i = -0*i for i.
0
Let z = -2751 + 2825. Let j be 5/(-10)*(1 - 1). Solve j = d + 76 - z for d.
-2
Let f be (0 - (-8)/(-20)) + (-84)/(-10). Suppose f*p = 272 + 320. Let w = 77 - p. Solve w*q = 7 - 1 for q.
2
Let u be ((-195)/91)/((-100)/840). Solve -4 - u = -11*g for g.
2
Let x(s) = 3*s**3 + 19*s**2 - 54*s - 265. Let l be x(-6). Solve 9*u - l + 59 = 0 for u.
4
Let h(m) = -36*m - 2. Let g(r) = 71*r + 2. Let i(p) = -3*g(p) - 5*h(p). Let w be i(0). Solve 10 = w*s - 9*s for s.
-2
Let q be -1 + (4 - (-3 - -5)). Let u be 72*2/4*q + 2. Let g = u - 38. Solve -7*x + 3*x - 4 = g for x.
-1
Suppose 0 = -2*c - o + 19, 33*c + 4*o - 41 = 30*c. Solve c*x = 3*x - 4 for x.
-1
Let k be (700/210)/((-5)/(-12)). Solve 2*h = h + k*h for h.
0
Let s be -4 - (408/(-12) - -1). Solve -10*n - s = -19 for n.
-1
Suppose 3*i - i - v - 122 = 0, 3*v = -2*i + 138. Let p = i + -58. Suppose 5*r - 3 - 11 = 2*h, 0 = -h + 2*r - p. Solve l = h*l for l.
0
Suppose -6*p = -7*p - 10*p. Solve 11*u - 18 + 62 = p for u.
-4
Suppose 3*l = 8*l - 1335. Suppose 18 = -3*g + l. Let r = g + -79. Solve -r = b + 1 for b.
-5
Let m = -133 - -142. Let k be m/(-7)*14/(-3). Solve -2 + k = -q for q.
-4
Suppose 40 = -8*s - 0*s. Let k(g) = g**3 + 6*g**2 + 4*g + 1. Let i be k(s). Suppose -12 = 5*a - i*a. Solve -r - a = 2*r for r.
-4
Suppose -5*n - 714 = 2*d, 3*n + 4*d - 197 = -617. Let b = n + 110. Let h = b - -39. Solve -4*f = -h*f - 1 for f.
-1
Suppose 3*s + 2*s = 5*b + 300, -4*s - 3*b = -268. Suppose 33*d - 41*d = -s. Solve -5*z = -d*z + 9 for z.
3
Let k(h) = 22*h - 2087. Let s be k(95). Let o(q) = 3*q - 1. Let w be o(1). Solve 0 = s*a - 10 - w for a.
4
Let p(q) = -q**2 + 6*q + 44. Suppose 0 = -j + i + 7, -5*j + 3*j - 5*i + 35 = 0. Let y be p(j). Solve y*a - 6 = -14 for a.
-2
Let q = 384 + -395. Let t be q - -5 - (2 - 11). Solve -t*s - 3*s + 6 = 0 for s.
1
Let f be (-27)/((-15)/(-5)) - 3. Let v be 0*(-1)/2 - (f - -10). Solve -v = c + 3 for c.
-5
Let s(k) = 3*k**2 + 160*k - 321. Let j be s(-58). Solve -j = 3*p - 491 for p.
0
Suppose -54*g - 5 = -1355. Solve -g = -26*o + 27 for o.
2
Suppose -7*q + 190*q - 428586 = 0. Solve q*g = 2339*g for g.
0
Let h = -13900 - -13944. Solve 21*s = 40 + h for s.
4
Let l be 23/138 - (164/(-24) + 3). Solve -x + 4*x + l*x = 0 for x.
0
Let y(u) = -u**3 + 11*u**2 + 5*u + 8. Let p be y(11). Suppose 0 = -8*h + p + 1. Let d = -287 - -287. Solve d = -4*f - 8 - h for f.
-4
Suppose 2*g - 29 = -r, 349 - 366 = -g + 2*r. Solve -g*o - 90 = -0 for o.
-6
Let m be 0 + 2/9 + (-143080)/(-252) - -5. Solve -m = -11*l - 518 for l.
5
Let y = 2393 + -2353. Solve y*a = 6*a - 102 for a.
-3
Let o be ((3 - 8)/15)/(2/(-294)). Suppose -10*b = -51 - o. Solve -6*q + q + b = 0 for q.
2
Let u be (-2)/(-14) + (-78)/(-42). Suppose 208 = 3*f + u*t, 4 - 10 = -3*t. Solve f = -12*x + 8 for x.
-5
Suppose 176 = 2*v - 73*z + 77*z, -z + 234 = 3*v. Solve -v*d + 96*d = -100 for d.
-5
Let l = 30441 - 30333. Solve 29*w = -7*w + l for w.
3
Let a(o) = 32*o + 97. Let i be a(-2). Suppose i*z = 45*z - 72. Solve -z*p + 0 + 18 = 0 for p.
3
Suppose 0 = -f - 56*j + 54*j + 2, -2 = 2*f - 2*j. Suppose -3 + 6 = 3*g. Let v be (3 - 12)*g/(-3). Solve f = k + v + 2 for k.
-5
Let d = -91 - -93. Suppose 0*q + q = 4*i + 169, d*q + 6 = 0. Let w = 46 + i. Solve -w + 5 = o for o.
2
Let c be ((-67)/134)/(2/(-12)). Suppose -h = c*h + 10*h. Solve 4*q + h = -20 for q.
-5
Let f be ((-63)/12)/(-3)*40. Let x = -54 + f. Let l = x + -13. Solve 0 = l*i - 3 - 6 for i.
3
Let k(z) = z**3 + 7*z**2 + 7*z + 8. Let n be k(-6). Let a(f) = 3*f + 125*f**n + 3 + 7 - 126*f**2. Let r be a(5). Solve r*q = -4*q for q.
0
Let a(j) = 12*j**2 + 242*j + 15. Let k be a(-21). Solve 280 = 11*v + k for v.
5
Let h(d) = d**3 + 11*d**2 - 12*d - 71. Let o be h(-9). Solve 209*u - 60 = o*u for u.
6
Suppose 4*m - a = 18, -79 + 61 = -2*m - a. Solve 3*b = -m*b + 18 for b.
2
Suppose -149 = -7*x + 103. Suppose x - 34 = o. Solve -o + 6 = 2*y for y.
2
Let f = -2362 - -2380. Solve f*m - 143 = -215 for m.
-4
Let s be -1 + (52/(-39))/(1/(-3)). Let w be 0/(3 + s + -4) - -4. Solve w*b - 8 = 2*b for b.
4
Suppose -12*c - 177 = -5*b - 14*c, b = c + 34. Solve -17 = 18*l - b for l.
1
Let o(b) = -186*b - 6491. Let i be o(-35). Solve -16*l = i + 109 for l.
-8
Suppose -a = 2*z - 45, -133*z + 131*z = 2*a - 44. Solve 0 = -z*g + 68 + 47 for g.
5
Suppose 11*s = -s - 7*s. Suppose s = -4*b + r + 2 + 9, -3*r + 31 = 4*b. Solve -b*a - 7 + 19 = 0 for a.
3
Suppose 7*x = -31*x + 2242. Suppose 60*n - x*n - 5 = 0. Solve -24 = -n*v - 19 for v.
1
Suppose -23*i + 20*i = -54. Let m = -9 + i. Suppose -3*l + 3*t = -21, 0 = -5*l - 3*t + 5 - 2. Solve l*u + 0*u = -m for u.
-3
Let j be 25/100 - (2/16)/(1/(-366)). Solve n + j = 42 for n.
-4
Suppose 2*k + n + 150 = 0, k - 5*n = 4*k + 225. Let r be 100/k - ((-186)/(-9))/(-2). Solve 0 = o + 13 - r for o.
-4
Suppose -19*o - 5529 = -115*o + 7143. Solve -l - o + 131 = 0 for l.
-1
Let x be ((2/(-3))/((-8)/36))/((-177)/(-5428)). Solve -18*h - 2 + x = 0 for h.
5
Let l(n) = 3*n**2 - 2*n + 2*n + 17*n + 36 + 11*n. Let w be l(-8). Solve -27 + 47 = w*j for j.
5
Let x(o) = -5*o**3 + 2*o**2 + 6*o + 1. Let h be x(3). Let d be (-14)/h - (-180)/14. Solve 18*f - d*f + 25 = 0 for f.
-5
Suppose -2*v - 289*f = -292*f - 211, 3*f = 3*v - 318. Solve v*a - 110*a - 15 = 0 for a.
-5
Suppose 0 = -h - 2*h + 21. Suppose 7544 = 210*s + 118*s. Solve h*r = -s + 9 for r.
-2
Suppose 0 = -4*p + 2*o - o + 29, 5*o = -4*p + 47. Let j(w) = -w**2 + 17*w - 55. Let t be j(8). Suppose -p = -5*d + t. Solve -4*n + d = -3*n for n.
5
Suppose -3*j + 0 = w - 17, 4*j - 4 = w. Let d(i) = -i**2 + 11*i - 21. Let n be d(w). Suppose 6*x - 36 = | {
"pile_set_name": "DM Mathematics"
} |
ssyyyyssyy.
1/646
Calculate prob of sequence ncr when three letters picked without replacement from {r: 2, f: 1, z: 5, c: 2, n: 4}.
2/273
Four letters picked without replacement from qtzctvzjvvtc. What is prob of sequence jcct?
1/1980
Calculate prob of sequence iq when two letters picked without replacement from ttcqttiqe.
1/36
What is prob of sequence hshs when four letters picked without replacement from chscscshchs?
1/110
Four letters picked without replacement from {d: 1, t: 1, i: 3, b: 2}. What is prob of sequence tbdi?
1/140
Four letters picked without replacement from {p: 6, b: 5, z: 3, u: 1}. What is prob of sequence bbzz?
1/273
Four letters picked without replacement from azoeoe. Give prob of sequence zeoe.
1/90
Two letters picked without replacement from zzzmzzzzzzmzmz. Give prob of sequence zz.
55/91
Two letters picked without replacement from {q: 2, u: 8, n: 1, j: 3, w: 1, t: 5}. Give prob of sequence tu.
2/19
Four letters picked without replacement from {a: 2, c: 2, v: 1, l: 4}. Give prob of sequence lcll.
1/63
Two letters picked without replacement from ooooooooozzooooooo. What is prob of sequence oo?
40/51
Four letters picked without replacement from {h: 3, y: 2, x: 7, c: 5}. Give prob of sequence yxxh.
3/680
What is prob of sequence mg when two letters picked without replacement from mcomgfmczcmffccccf?
2/153
Two letters picked without replacement from {z: 1, g: 2, b: 10, s: 7}. What is prob of sequence bg?
1/19
Three letters picked without replacement from {r: 1, a: 1, v: 3}. What is prob of sequence var?
1/20
Three letters picked without replacement from qlnnnilniisnnqil. What is prob of sequence nqn?
1/56
Four letters picked without replacement from gqiqqiqiiggqgi. What is prob of sequence iiqi?
25/2002
Three letters picked without replacement from xxvfuii. Give prob of sequence iiv.
1/105
What is prob of sequence vv when two letters picked without replacement from zzvzbbbvvfzfvzffzzz?
2/57
What is prob of sequence jmjj when four letters picked without replacement from vjjjbmb?
1/140
Two letters picked without replacement from {j: 5, h: 3}. Give prob of sequence hh.
3/28
Three letters picked without replacement from {u: 7, p: 3, g: 2}. What is prob of sequence guu?
7/110
Calculate prob of sequence mxtx when four letters picked without replacement from {t: 5, x: 2, m: 2}.
5/756
Three letters picked without replacement from thtoh. What is prob of sequence hto?
1/15
Two letters picked without replacement from {d: 2, o: 5, e: 1, z: 2, v: 5, b: 2}. Give prob of sequence eo.
5/272
What is prob of sequence xx when two letters picked without replacement from {p: 10, x: 4}?
6/91
What is prob of sequence ww when two letters picked without replacement from ggwgwww?
2/7
Two letters picked without replacement from {e: 3, h: 1, a: 1, i: 5, l: 4, m: 3}. Give prob of sequence la.
1/68
Calculate prob of sequence hivh when four letters picked without replacement from {i: 4, h: 4, v: 9, s: 2}.
3/646
Four letters picked without replacement from zeeeqveveezdeeeez. Give prob of sequence qzzd.
1/9520
What is prob of sequence yhd when three letters picked without replacement from dhtdtytyhyty?
2/165
What is prob of sequence sw when two letters picked without replacement from {w: 2, s: 2}?
1/3
What is prob of sequence kzz when three letters picked without replacement from zekezbzz?
1/28
Calculate prob of sequence mq when two letters picked without replacement from {k: 2, m: 1, s: 1, g: 1, y: 1, q: 2}.
1/28
Four letters picked without replacement from eppprppkkkrppkggrmkp. Give prob of sequence rekr.
1/3876
What is prob of sequence zsi when three letters picked without replacement from sjzjjiqijajqjjaaq?
1/2040
What is prob of sequence ju when two letters picked without replacement from stukj?
1/20
Four letters picked without replacement from ycfcfcfyfc. What is prob of sequence cfyy?
2/315
Two letters picked without replacement from kdssdblq. Give prob of sequence qb.
1/56
Four letters picked without replacement from {e: 5, n: 6, q: 4}. What is prob of sequence eenq?
4/273
Three letters picked without replacement from wwrrrrrrwrr. What is prob of sequence rwr?
28/165
What is prob of sequence iw when two letters picked without replacement from iiwiwwiiiiiiqiwwii?
10/51
Calculate prob of sequence soss when four letters picked without replacement from {s: 6, o: 6}.
2/33
Three letters picked without replacement from xlnxqnxnqqxlqqxxxnl. Give prob of sequence lqx.
35/1938
Two letters picked without replacement from tknttktlkllktnltknxn. What is prob of sequence xt?
3/190
Two letters picked without replacement from yfcchcgcqfcgy. Give prob of sequence cq.
5/156
Calculate prob of sequence eio when three letters picked without replacement from {i: 3, e: 5, q: 1, x: 3, p: 2, o: 1}.
1/182
What is prob of sequence soka when four letters picked without replacement from {s: 1, a: 1, k: 5, w: 2, z: 2, o: 5}?
5/8736
Two letters picked without replacement from pppppccp. What is prob of sequence pp?
15/28
What is prob of sequence bboo when four letters picked without replacement from {o: 14, b: 4}?
91/3060
Three letters picked without replacement from {g: 2, h: 5, o: 3}. Give prob of sequence ogo.
1/60
Two letters picked without replacement from ghugjphjghjuujghgujj. What is prob of sequence pu?
1/95
What is prob of sequence vt when two letters picked without replacement from kttttvtvvsbj?
5/44
Three letters picked without replacement from {s: 4, j: 5, a: 3, f: 4, v: 1, g: 1}. What is prob of sequence jjv?
5/1224
Three letters picked without replacement from {s: 5, l: 1, m: 1, r: 3}. Give prob of sequence rlm.
1/240
What is prob of sequence aaad when four letters picked without replacement from {v: 1, d: 2, a: 14}?
13/170
Calculate prob of sequence uee when three letters picked without replacement from eeuueuuuuu.
7/120
What is prob of sequence izh when three letters picked without replacement from {i: 2, z: 1, h: 2, b: 1}?
1/30
Two letters picked without replacement from esdeeeeddeidsddeiee. Give prob of sequence si.
2/171
Calculate prob of sequence gff when three letters picked without replacement from fqdqwqfwqwqqwfgqgf.
1/204
Calculate prob of sequence ge when two letters picked without replacement from {t: 1, j: 2, e: 1, g: 2}.
1/15
What is prob of sequence ls when two letters picked without replacement from slt?
1/6
Two letters picked without replacement from zwzzmmzkmkmwkkzw. What is prob of sequence km?
1/15
Calculate prob of sequence tttt when four letters picked without replacement from tttttt.
1
Three letters picked without replacement from {i: 1, v: 3, j: 4, r: 2, p: 1, y: 4}. Give prob of sequence rji.
4/1365
Calculate prob of sequence rywp when four letters picked without replacement from lywybrprppppprprr.
1/816
What is prob of sequence bq when two letters picked without replacement from uqbbqbunbqbubqqbnu?
35/306
Calculate prob of sequence ju when two letters picked without replacement from {u: 8, y: 1, j: 2, i: 1, o: 2}.
8/91
Two letters picked without replacement from oopg. What is prob of sequence pg?
1/12
Calculate prob of sequence mrrr when four letters picked without replacement from ssrmrsrsmsrmsmrss.
1/238
What is prob of sequence fc when two letters picked without replacement from dmdfefdefdpcfmf?
1/42
What is prob of sequence hhbh when four letters picked without replacement from {k: 4, b: 6, h: 4}?
6/1001
Calculate prob of sequence xxg when three letters picked without replacement from gnxnnjnjgxxjjxtjjj.
1/204
Calculate prob of sequence cttt when four letters picked without replacement from tteeetclteleetettt.
7/1530
Four letters picked without replacement from {s: 1, x: 7, v: 5, e: 3}. Give prob of sequence evxv.
1/104
Two letters picked without replacement from {w: 5, d: 3}. What is prob of sequence wd?
15/56
Two letters picked without replacement from {m: 2, c: 5, v: 5}. Give prob of sequence vc.
25/132
Calculate prob of sequence tivr when four letters picked without replacement from ktviekkvktetrkikete.
1/5814
Calculate prob of sequence vzv when three letters picked without replacement from {i: 1, g: 3, v: 5, z: 1, e: 2}.
1/66
Four letters picked without replacement from fffiiiefe. Give prob of sequence eiif.
1/63
What is prob of | {
"pile_set_name": "DM Mathematics"
} |
112 and 34?
-3808
0.5*-100
-50
What is -0.05 times -0.31?
0.0155
Calculate -53.3*-0.2.
10.66
-730 * 1
-730
What is 7 times 16?
112
Product of -1 and -248.
248
What is the product of 1 and -442?
-442
What is -1 times 1390?
-1390
Work out 0.5 * -1876.
-938
Calculate -5*-14.6.
73
-0.4 * -2.66
1.064
What is the product of -0.19 and -0.08?
0.0152
-3.5 times 1
-3.5
What is 9.4 times 0?
0
What is the product of 5 and 3869?
19345
-0.12 times -6.21
0.7452
Calculate -2.3*-0.06.
0.138
Work out 24 * 3.1.
74.4
Calculate -6779*-1.
6779
3615 * -0.4
-1446
Calculate 1*-0.03.
-0.03
What is 0.2 times 4.44?
0.888
Work out 105 * 5.
525
What is -6.44 times 7?
-45.08
Multiply -0.4 and 97.
-38.8
Calculate -47*0.07.
-3.29
-1094*-0.1
109.4
Multiply -29 and 438.
-12702
0.5 times 332
166
What is -0.1 times -0.051?
0.0051
Work out 0.19 * 0.5.
0.095
Multiply -227 and 0.2.
-45.4
Product of -3 and 0.134.
-0.402
Work out 0.057 * 5.
0.285
What is the product of 143 and -0.06?
-8.58
What is the product of -0.043 and 1?
-0.043
What is the product of 0.0734 and 0.3?
0.02202
-22*0.2
-4.4
30793*-4
-123172
0.3 * 949
284.7
What is 0.7 times 36?
25.2
0.2 * -120
-24
0.07 * 0.0517
0.003619
0.2 * 1.324
0.2648
Product of -1.35 and -2.
2.7
What is -40 times 0.4?
-16
Calculate 15*-3.
-45
What is -49 times -0.9?
44.1
-0.3*-33
9.9
Multiply -13 and -6.
78
Calculate 2*-29.85.
-59.7
What is the product of -0.16 and 2.5?
-0.4
Product of -0.106 and 157.
-16.642
What is the product of -1 and 3415?
-3415
What is -0.3 times -15?
4.5
Calculate 2.531*-2.
-5.062
7946*-3
-23838
What is -0.1 times -65?
6.5
-0.5 times -17
8.5
What is -1.76 times -84?
147.84
Calculate 2.15*-0.2.
-0.43
23407 * -0.1
-2340.7
-0.03 * 0.01
-0.0003
What is 0.3 times 89?
26.7
Calculate 13*18.7.
243.1
Calculate 4*-0.778.
-3.112
Work out -2661 * 11.
-29271
Product of -113 and 0.5.
-56.5
-0.35 times -0.21
0.0735
Multiply -0.13 and 0.85.
-0.1105
Calculate -3*-0.0251.
0.0753
Work out 0.0203 * 0.03.
0.000609
Multiply 856 and -3.
-2568
-2 * 38
-76
Calculate 0.2723*0.2.
0.05446
What is 219 times 0.1?
21.9
0.063 * -0.39
-0.02457
-15 times 0.234
-3.51
Work out 0.015 * -2.
-0.03
Multiply -0.1 and 3.01.
-0.301
What is 0.03 times 0?
0
Product of 628 and -0.15.
-94.2
-2.9 times 0.2
-0.58
Calculate 14*1.12.
15.68
167 times -1.3
-217.1
Calculate -0.0232*0.08.
-0.001856
-0.06 * 0.1153
-0.006918
2*1
2
Product of 0.2 and 0.6.
0.12
Product of -15 and 8.
-120
Product of 1669 and 4.
6676
0.14 * 2.1
0.294
Product of 0.46 and -1.28.
-0.5888
Work out 3 * 16.6.
49.8
Work out 18 * 0.02.
0.36
0 * 70
0
Calculate -1.5*2.
-3
What is the product of 140.5 and 2?
281
7 * -14
-98
Work out 3 * -595.
-1785
What is -4 times -561?
2244
Product of 0.25 and -0.1.
-0.025
Work out -0.5 * -161.9.
80.95
-2.47 times 0.32
-0.7904
-6 * -0.036
0.216
-3 * -0.087
0.261
Work out 16 * -17.3.
-276.8
Calculate -7.3*-0.01.
0.073
Work out -932 * 2.
-1864
Multiply -360 and 1.
-360
Multiply 6 and -155.
-930
Work out 0 * -1244.
0
What is the product of -3.9 and 9?
-35.1
What is the product of 55 and 0.02?
1.1
What is the product of 70.8 and 0.4?
28.32
-0.1 * -2.4
0.24
What is the product of 6914 and -4?
-27656
Product of -19 and -0.33.
6.27
Multiply 4 and -0.88.
-3.52
What is -0.2 times 3158?
-631.6
-0.341*-4
1.364
Product of 0.035 and 0.06.
0.0021
-0.174 times -2
0.348
Product of -412 and -3.
1236
-0.13 * 4.59
-0.5967
Product of -5 and -0.138.
0.69
Calculate -1*-445.
445
Calculate -49*-1.
49
What is the product of -1.2 and -0.3?
0.36
Multiply 2087 and -2.
-4174
-5 times -0.038
0.19
-0.3 times 8459
-2537.7
Work out -0.3 * 969.
-290.7
Calculate 349*-0.1.
-34.9
-1.5 * -118
177
Multiply 0.05 and -43.
-2.15
What is the product of 0.2 and -9.3?
-1.86
Product of -4.51 and -0.2.
0.902
1.3 * -125
-162.5
Calculate 1*1755.
1755
-1.4 times -0.078
0.1092
-0.2 times 671.5
-134.3
Work out -0.004 * -8.
0.032
3 * -378
-1134
Work out 0.119 * -78.
-9.282
Multiply -5 and -2.3.
11.5
What is -0.5 times 0.2316?
-0.1158
Multiply 242 and -4.
-968
Product of 0.6 and -10.
-6
Work out -99 * -1.2.
118.8
What is 93 times 2?
186
-3*-0.88
2.64
What is 5 times 53.9?
269.5
-0.18*1.6
-0.288
-20.5*6
-123
-10217 * 3
-30651
-36*0.09
-3.24
7*0.3
2.1
-3 * -21.4
64.2
Work out -5 * -3.4.
17
Work out 1.67 * 0.3.
0.501
Multiply -435 and 0.2.
-87
What is the product of -5 and -11?
55
-12 times -30.3
363.6
0.278 times -0.1
-0.0278
0.0115 times -2
-0.023
Work out 575 * 5.
2875
-1.309 * -0.4
0.5236
Product of -0.13 and -28.
3.64
Multiply 0.8 and 83.
66.4
What is 0.02 times 15?
0.3
-0.3*0.653
-0.1959
43*478
20554
-245 * 0.26
-63.7
3 times 57
171
-0.34 * 4
-1.36
What is -0.4 times -11?
4.4
Calculate -14232*0.3.
-4269.6
Product of -0.06 and 19.
-1.14
0.07 times 0.33
0.0231
0.02951 * 0.1
0.002951
Calculate 45.4*0.1.
4.54
What is the product of -13 and 0.02?
-0.26
Calculate 0.3*-81.
-24.3
Product of -2 and -878.
1756
Multiply -6 and -0.115.
0.69
-262 times -82
21484
3.6*-1.1
-3.96
520*0.07
36.4
-4*1.819
-7.276
-0.27*8.9
-2.403
0.2 times -31
-6.2
Work out -0.3311 * 0.7.
-0.23177
Calculate -0.4*62.
-24.8
Calculate 4*649.
2596
Work out 30 * -6.
-180
-39 times 27
-1053
-139 times -3
417
Calculate 0.09*-0.36.
-0.0324
What is the product of -0.5 and -338.4?
169.2
8.31 times 4
33.24
What is the product of 1 and -0.111?
-0.111
-2 times 337
-674
3*0.06
0.18
Work out 0.03 * 0.153.
0.00459
What is the product of -0.2 and 0.627?
-0.1254
What is the product of 0.22 and 0?
0
Work out -0.046 * -6.
0.276
What is -172 times -0.3?
51.6
What is 348 times 1?
348
Product of -7 and 17.
-119
-0.029 times -5
0.145
0.249 * -4
-0.996
-126.25*-3
378.75
4*0.01
0.04
0.052 times -5
-0.26
-4*6
-24
Multiply 2 and 120.
240
Product of -0.5 and -31.
15.5
Calculate -142*-2.
284
3 times -0.75
-2.25
-0.024*0
0
Multiply 11 and 16.
176
Product of -21 and -69.
1449
Calculate 267*-5.
-1335
Calculate -0.2*-0.0148.
0.00296
Work out 14 * 0.45.
6.3
Product of 0.02 and -0.101.
-0.00202
Calculate -2595*3.
-7785
-0.1886*14
-2.6404
Product of -3 and 1.504.
-4.512
Calculate 0*0.0479.
0
-278 * -3
834
114*7
798
-25 times -10
250
69.4 * -0.04
-2.776
Work out -0.5 * -2.7.
1.35
Calculate 655*-26.
-17030
Work out -116 * -3.
348
Calculate 7*12.
84
Work out 0.4 * 137.
54.8
-1.4 times -211
295.4
Calculate -3*-21.
63
Multiply 60 and -242.
-14520
-0.9 * -0.5
0.45
Multiply 3 and -6.79.
-20.37
5*87
435
-105*-329
34545
35*7
245
Calculate -6356*0.3.
-1906.8
Product of -13698 and 0.5.
-6849
Product of -31 and -0.5.
15.5
Calculate 48*-2.
-96
-2.1 times 9
-18.9
Work out 2 * -0.046.
-0.092
-17.4 * 0.1
-1.74
-0.5 times -0.05
0.025
-17 * 14
-238
What is the product of -4 and 0.2?
-0.8
What is the product of -3.6 and -159?
572.4
0.61*-182
-111.02
Work out -2 * -0.44.
0.88
Work out -0.204 * 6.1.
-1.2444
What is the product of 3.1 and 0.3?
0.93
Product of 79 and 0.1.
7.9
What is the product of 7 and 0.08?
0.56
Product of 0.2 and 0.061.
0.0122
Calculate 246*1.
246
Calculate -4.1*4.
-16.4
0.04*-1.2
-0.048
What is the product of 197.9 and -0.04?
-7.916
Multiply 1.97 and 0.3.
0.591
Multiply -22 and -5.
110
Calculate -0.4*0.005.
-0.002
Multiply 10 and 0.22.
2.2
What is -14 times 0.051?
-0.714
4*21
84
Multiply 0.4 and -0.0118.
-0.00472
What is the product of -0.4 and 2475?
-990
Product of 314 and 0.2.
62.8
302 * -0.3
-90.6
Work out 90 * 1.
90
Work out 0.3 * 0.246.
0.0738
Multiply -10 and 19.
-190
What is -2.8 times 0.9?
-2.52
What is 3 times -859?
-2577
Calculate 4.33*-22.
-95.26
Product of -0.4 and 216.
-86.4
Work out 2 * 1.17.
2.34
Product of 0.3 and 0.126.
0.0378
Multiply 4 and 3.49.
13.96
-7.7 * -3
23.1
1176 times 0.1
117.6
Product of -46211 and 4.
-184844
What is 1 times 1.76?
1.76
1 times -3.415
-3.415
0.1 times -68
-6.8
What is 0.03 times -175?
-5.25
Multiply -0.55 and -2.
1.1
Product of 8 and -0.43.
-3.44
What is -64 times -0.5?
32
34 times 57
1938
Calculate 0.024*3.
0.072
What is the product of 16 and 6.27?
100.32
What is the product of 3.22 and 2?
6.44
-27 * -0.2
5.4
Product of 5 and -10.5.
-52.5
1.3 * -0.2638
-0.34294
What is the product of 0.05 and 0?
0
Product of -1 and -0.034.
0.034
Calculate -3*-0.68.
2.04
-915 * -0.1
91.5
What is 41 times -141?
-5781
-0.0654*2
-0.1308
Work out -5.728 * 0.3.
-1.7184
Multiply 0.4 and -0.4759.
-0.19036
8*56
448
What is the product of -0.04 and -0.4?
0.016
What is -19 t | {
"pile_set_name": "DM Mathematics"
} |
(192))*3 + 1)*6 + -2)*2)**2 + -5)*-2.
-499222 + 32256*sqrt(3)
Simplify ((((-6*sqrt(85)*-2 - sqrt(85)) + -6*sqrt(85)*-2)*6)/(((sqrt(660) + -2*sqrt(660))/sqrt(12) - sqrt(55))/(2*sqrt(891) - sqrt(11))))**2.
23390793
Simplify (-4*sqrt(102)*6)/(sqrt(6) + sqrt(6) + (sqrt(72) + sqrt(72)*4 + sqrt(72) + sqrt(72))/sqrt(12) + sqrt(6))*-6 + -5.
-5 + 72*sqrt(17)/5
Simplify (6*(sqrt(153)*-1 - sqrt(153))*-3*6)/(-6*-2*sqrt(1089)*-4)*-3.
27*sqrt(17)/22
Simplify (-2*6*(sqrt(192) + -1)**2 + -1*(2 + sqrt(192)) + 3)*1.
-2315 + 184*sqrt(3)
Simplify (5 + 0 + (2 + (sqrt(833) - (sqrt(833) + 1)*-3)*-6)*-5)**2.
142800*sqrt(17) + 12002425
Simplify (-6*-5*-1*sqrt(1000))/(sqrt(48)/sqrt(54) + sqrt(800)*2 + sqrt(800)).
-450*sqrt(5)/91
Simplify (2*2*sqrt(2000) + -5*(sqrt(2000) - (sqrt(2000)*1 - sqrt(2000)) - sqrt(2000)))/(sqrt(810)*1 + (1*sqrt(20))/sqrt(2)).
4*sqrt(2)
Simplify (-2*(sqrt(256) - 2*1*sqrt(256)))/((sqrt(56)*-1)/(2*sqrt(700))).
-160*sqrt(2)
Simplify ((sqrt(180) + ((2*sqrt(180) - sqrt(180)) + sqrt(180))*-4)/(5*sqrt(3)*-1))/(sqrt(48)/(sqrt(4)*-2 - sqrt(4)) + sqrt(12) - 2*sqrt(192))*-6.
63*sqrt(5)/55
Simplify (-6*sqrt(1280)*3)/((sqrt(90) + sqrt(90)*2 + sqrt(90))/sqrt(9) - (sqrt(10) - (sqrt(10) - sqrt(360)/sqrt(4)) - sqrt(10))).
-72*sqrt(2)
Simplify (sqrt(2736) + 1 - ((sqrt(931) - (5 + sqrt(931) - sqrt(931))) + sqrt(931)))**2 + ((-2*sqrt(2736) - sqrt(2736))*-2 - (-2 + sqrt(2736))*6).
-24*sqrt(19) + 124
Simplify (sqrt(8) + (sqrt(48)/sqrt(3))/sqrt(2) - (sqrt(72) - sqrt(72)*1))/(2*sqrt(100)*-3)*-4.
4*sqrt(2)/15
Simplify ((-6*6*sqrt(66))/sqrt(2)*-5)/(((sqrt(1100) + 4*sqrt(1100))*1 - sqrt(1100))*-2).
-9*sqrt(3)/4
Simplify (((sqrt(336) - -1*sqrt(336)*4)/((-2*sqrt(144))/sqrt(12)))/((sqrt(144) - (sqrt(144) - (sqrt(144) + (sqrt(144) + 4*sqrt(144))*-1)))*4))**2.
175/36864
Simplify (2*(-1 + (-5 + sqrt(176)*-6 - -5*(sqrt(11) + -6*sqrt(176))) + 5))**2.
1112*sqrt(11) + 850128
Simplify -6*(-3 + 3*(sqrt(108) + (sqrt(108) + 1)**2) + -5)*-1 + 0.
324*sqrt(3) + 1914
Simplify -5 + 5 + sqrt(612) + 0 - (sqrt(204)/sqrt(100))/(sqrt(300) + 2*sqrt(300)).
899*sqrt(17)/150
Simplify -2*(6*(1 + -1 + sqrt(320) - ((0 + sqrt(320) - sqrt(320))*-5)**2) + -1)*-4*-2.
-768*sqrt(5) + 16
Simplify (6*sqrt(196)*3 - sqrt(196) - sqrt(196))/(-3*(sqrt(448) - sqrt(448)*-2)) + 2.
-4*sqrt(7)/9 + 2
Simplify 2*((-6*2*sqrt(720)*4 + -1*(3 + sqrt(720)*-3 + sqrt(720)))*-6)**2.
238464*sqrt(5) + 109694088
Simplify (-4*(4*(sqrt(200)*-3*-5 - -6*(0 + sqrt(200))) + 5))**2.
134400*sqrt(2) + 22579600
Simplify (-1*(5 + sqrt(2) + -1)*-5 - sqrt(80)/(sqrt(10) - (sqrt(40)/sqrt(4)*-2 + sqrt(10)))) + -4.
4*sqrt(2) + 16
Simplify (0 + -4*(-4 + -1*sqrt(245) - (sqrt(245) + 6*(sqrt(245) + 0) + sqrt(245)) - -5*(sqrt(245) + -3 + -5)))**2.
39424*sqrt(5) + 93696
Simplify -5 + (1*(sqrt(132) - ((sqrt(132) - -2*sqrt(132))*2 + sqrt(132))))/(((sqrt(108) + 2*sqrt(108))/sqrt(9) - sqrt(12))*-6)*-6.
-3*sqrt(11) - 5
Simplify 4 + 3 + -5 + -2 + (sqrt(117) - (sqrt(117) + -1 - sqrt(117))**2) + sqrt(117)*2 + sqrt(117) + -3 + 2.
-2 + 12*sqrt(13)
Simplify ((sqrt(448) - sqrt(448)*1) + sqrt(28) - sqrt(168)/sqrt(6)*-6)/(-4*((sqrt(576) + 1*sqrt(576))*6 + sqrt(576))).
-7*sqrt(7)/624
Simplify (0 + (sqrt(19) + sqrt(19) + sqrt(475)*3 + sqrt(19) - sqrt(133)/sqrt(448))*-1 + -5 + 3)**2.
143*sqrt(19)/2 + 388787/64
Simplify (sqrt(13) - (sqrt(13) - sqrt(468))) + 5 + 2 - (-3*(-3 + sqrt(7488) + sqrt(7488) + sqrt(7488)))**2.
-606602 + 3894*sqrt(13)
Simplify ((sqrt(99) + 4)*-2*5 + (sqrt(308)/(sqrt(42)/sqrt(6)))/(1*sqrt(36)))**2.
7120*sqrt(11)/3 + 101531/9
Simplify (5*(sqrt(99) - sqrt(99)*2*4))/(1*sqrt(1296) + sqrt(81)/(sqrt(9)*-2)).
-70*sqrt(11)/23
Simplify ((sqrt(250) + 6*2*sqrt(250))*4)/(-6*(sqrt(245) - (sqrt(245)*-2 - sqrt(245)) - sqrt(245)))*5.
-650*sqrt(2)/63
Simplify -5 + 1 + sqrt(27) + -1 + ((sqrt(3993)*1 - sqrt(3993))/(sqrt(44)*-1))**2.
-5 + 3*sqrt(3)
Simplify ((-4*(-6*(sqrt(112) + 1) - sqrt(112)))**2 + (5 + 2*(sqrt(112) + 0))**2)*2.
10912*sqrt(7) + 177714
Simplify ((0 + sqrt(68) + sqrt(17) + sqrt(17) - -4*sqrt(425)) + (-3*sqrt(153)*-1 + sqrt(153))/sqrt(9)*-5)**2.
272
Simplify (-3 + -6*sqrt(176)*-3)**2 + sqrt(11) + sqrt(55)/(sqrt(40)/sqrt(8)) + sqrt(11) + 2*sqrt(1100).
-409*sqrt(11) + 57033
Simplify (4 + -2 + sqrt(475) + 0 + -1 + (-5 + sqrt(475) + 0)*6*-6)**2.
-63350*sqrt(19) + 614636
Simplify -5 + 1*sqrt(450) - -3*sqrt(450)*-6 - ((-2*sqrt(450)*1 - sqrt(450))*5 + 4)**2.
-101271 + 1545*sqrt(2)
Simplify (-5 + (sqrt(88)*-4)/sqrt(8) + sqrt(11) - (6*sqrt(44)/sqrt(4) - (-3*sqrt(11) + 1)))**2 + 1.
96*sqrt(11) + 1601
Simplify (-6*sqrt(1176))/(sqrt(1728) - sqrt(1728)*-2) - (sqrt(10) + (sqrt(160)*-2 - sqrt(160)))/(-2*sqrt(15)/sqrt(3) - sqrt(5)).
-29*sqrt(2)/6
Simplify ((sqrt(54)/sqrt(3))/sqrt(3) - sqrt(6))/(sqrt(2) + -3*1*sqrt(2) - sqrt(2)) + (-2 + sqrt(3)*3)**2 + sqrt(27)/(sqrt(9)*1).
-11*sqrt(3) + 31
Simplify ((-1*sqrt(931))**2*1 - (sqrt(57)/sqrt(3) + -5 + 3*sqrt(2736))**2) + 2.
-25103 + 370*sqrt(19)
Simplify (sqrt(300) + 2 + -2 - -3*sqrt(300)*-5 - (-2 + 2*(-3*(1*sqrt(300) + sqrt(300)))**2))*-1.
140*sqrt(3) + 21598
Simplify ((sqrt(1008) + -3*(sqrt(1008) - (sqrt(1008) + -2)) - (sqrt(1008)*-1 + -5)) + 4*(sqrt(1008) + 3 + 1 + sqrt(1008) - (1*sqrt(1008) + sqrt(1008))*-5))**2.
18000*sqrt(7) + 2520225
Simplify ((-2 + ((0 + sqrt(2736) - sqrt(2736))*-1*3 + (1*sqrt(2736)*6 - (sqrt(2736) - (sqrt(2736) + 3*sqrt(2736)*-2 + sqrt(2736)))))*1)*-2*1)**2.
-192*sqrt(19) + 10960
Simplify 1 + 1*(-4 + (5*(sqrt(1700) + (sqrt(1700) + sqrt(1700) + -3 + sqrt(1700))*1 + sqrt(1700)) + 2)**2) + 0.
-6500*sqrt(17) + 1062666
Simplify (-5*(-6*sqrt(1331)*1 + 1) + -6*(-3*(sqrt(1331) - (sqrt(1331) + -1) - sqrt(1331)) - (5 + sqrt(1331) + 0)))*-2.
-396*sqrt(11) - 86
Simplify ((-2*sqrt(108) + sqrt(27) + sqrt(27) - sqrt(27))/sqrt(9) - (-3 + sqrt(12)/sqrt(4) + 5)) + (5 + 5 + sqrt(33)/(sqrt(132)/sqrt(48)))**2.
36*sqrt(3) + 110
Simplify 2 + (sqrt(700)*-2*1 + sqrt(700) - (-5 + sqrt(700) + (sqrt(700) + -2 + sqrt(700))**2 - sqrt(700)) - -4*2*-2*sqrt(700)).
-2797 - 90*sqrt(7)
Simplify (1 + sqrt(17) + 1 - 1*sqrt(68)/sqrt(4))*-3 - (-2 + (sqrt(425) - (1*-2*sqrt(425) - sqrt(425)))**2 + sqrt(425) + 5).
-6809 - 5*sqrt(17)
Simplify -3 + -1 + (sqrt(847) + 1)**2 - (sqrt(1400)*1 - sqrt(14))/(2*sqrt(2)*-4).
185*sqrt(7)/8 + 844
Simplify (-2*((sqrt(100) + -1*sqrt(100) - sqrt(100)) + sqrt(100) + sqrt(100) + sqrt(100)) - 5*sqrt(100)*-2)/((sqrt(18) + 2*sqrt(882))/(sqrt(9) - 2*sqrt(9)*3)).
-10*sqrt(2)
Simplify 2 + 1 + 1*(3 + (4 + sqrt(288) + 2 - sqrt(288) - sqrt(288))**2 + -3).
-144*sqrt(2) + 327
Simplify 4 + (((-1*-1*sqrt(143) + sqrt(143) + sqrt(143) + -2*sqrt(143)*-6 + sqrt(143))*6)/(2*sqrt(1100)*2*-2))**2.
568/25
Simplify (((sqrt(180)*2)/sqrt(3))/(-5*-2*sqrt(6)))/((sqrt(405) - (sqrt(405) - 2*sqrt(405))*-5) + sqrt(405) + -5*-2*sqrt(405)).
sqrt(2)/315
Simplify (sqrt(231)/(sqrt(11) + sqrt(99)) + (sqrt(84)/sqrt(4) + sqrt(21))*4 + sqrt(21))/(1*1*sqrt(252)*-5).
-37*sqrt(3)/120
Simplify (-3 + ((sqrt(833) - (sqrt(833) + 0)) + 2 - (3 + sqrt(833)*-1)))**2 + (3*(4 + sqrt(833)*2*-2))**2.
-2072*sqrt(17) + 120945
Simplify 0 + (sqrt(52) + -2*sqrt(6292))/(-6*sqrt(16)) + -5 + 1 + 1 + 5.
2 + 7*sqrt(13)/4
Simplify (-2*(-4*sqrt(242) + 1)*-5 + 2*sqrt(242)*-1*-1 + -5)**2.
-4180*sqrt(2) + 349473
Simplify 2 + 6*(-1 + (2 + sqrt(68) - sqrt(68)) + (-4 + sqrt(68) + 1 + sqrt(68))**2) + 0.
-144*sqrt(17) + 1694
Simplify ((-2*((sqrt(85) - (sqrt(85)*3 - sqrt(85)))*1 + sqrt(85))*-6)/(((2*sqrt(120))/sqrt(2))/(sqrt(48)/(sqrt(4)*2))))**2.
0
Simplify 1 + (3*-2*(sqrt(832)*-1*-5 + (sqrt(832) - (sqrt(832) + -2))*-2)*-3)**2.
-103680*sqrt(13) + 6744385
Simplify (sqrt(55) - (sqrt(220)*-1 + sqrt(220) - sqrt(220)) - -1*sqrt(1980))/(5*(sqrt(405) + (sqrt(405) - (sqrt(405)*-1 - sqrt(405))))).
sqrt(11)/20
Simplify ((-2*-6*((sqrt(152) - (((sqrt(152) + (sqrt(152) - sqrt(152)*2))*-4 - sqrt(152)) + sqrt(152))) + sqrt(152)))/((-6*1*sqrt(72))/(sqrt(441)*-1)))**2.
14896
Simplify ((5 + -2*(sqrt(405)*-3 + 4)*2)*2)**2*-2.
-467528 + 19008*sqrt(5)
Simplify (-5*sqrt(196) - sqrt(4))/(sqrt(2) - (sqrt(98)*2 - sqrt(98))) + (sqrt(360)*1 - sqrt(360))/(sqrt(35)/(sqrt(49)/sqrt(7))).
6*sqrt(2)
Simplify (6*(5 + -3 + -5*(-1*sqrt(1800) + 2)))**2.
-86400*sqrt(2) + 1622304
Simplify ((1*(sqrt(1300)*2 + sqrt(1300)) + 5*2*sqrt(1300) + (-1*1*sqrt(13) - 2*sqrt(325)) + -3)*-1)**2.
-714*sqrt(13) + 184102
Simplify 1*( | {
"pile_set_name": "DM Mathematics"
} |
1}. Give prob of sequence ioo.
1/15
Two letters picked without replacement from qxqqwwxqwiqi. What is prob of sequence qq?
5/33
What is prob of sequence mq when two letters picked without replacement from {q: 11, m: 2, h: 2}?
11/105
What is prob of sequence xxkk when four letters picked without replacement from {k: 7, e: 1, x: 2, w: 7, c: 1}?
7/6120
Three letters picked without replacement from {c: 3, k: 2, x: 2, o: 5, p: 6}. What is prob of sequence opx?
5/408
What is prob of sequence oi when two letters picked without replacement from mxaoadddaoixda?
1/91
Three letters picked without replacement from jjlajlajzggbj. Give prob of sequence jbj.
5/429
Three letters picked without replacement from {p: 2, k: 5, x: 2, b: 6, o: 1, r: 1}. Give prob of sequence pop.
1/2040
Calculate prob of sequence tt when two letters picked without replacement from wwyywwyalytkywwyayt.
1/171
What is prob of sequence ez when two letters picked without replacement from {e: 14, z: 4}?
28/153
Two letters picked without replacement from {o: 3, s: 7}. Give prob of sequence os.
7/30
What is prob of sequence ifi when three letters picked without replacement from {f: 3, i: 4}?
6/35
Two letters picked without replacement from {w: 5, j: 1, h: 4}. Give prob of sequence wj.
1/18
What is prob of sequence dodd when four letters picked without replacement from {d: 11, o: 1}?
1/12
Four letters picked without replacement from mpppllml. Give prob of sequence pmlp.
3/140
Four letters picked without replacement from {w: 2, f: 4, i: 1, a: 7, n: 2}. What is prob of sequence nwfa?
1/390
Four letters picked without replacement from rtexexrbf. Give prob of sequence xxfr.
1/756
Four letters picked without replacement from {g: 2, l: 6}. Give prob of sequence lglg.
1/28
Calculate prob of sequence hshs when four letters picked without replacement from {h: 1, s: 7}.
0
What is prob of sequence fjjj when four letters picked without replacement from {j: 3, w: 1, f: 5, q: 1}?
1/168
Calculate prob of sequence upuf when four letters picked without replacement from ffuuuupuupppuuuf.
9/455
Two letters picked without replacement from {n: 2, p: 1, h: 1, d: 1, t: 1, i: 1}. What is prob of sequence ph?
1/42
What is prob of sequence zzvv when four letters picked without replacement from myvvavvvivz?
0
What is prob of sequence www when three letters picked without replacement from {o: 3, w: 3}?
1/20
What is prob of sequence dxx when three letters picked without replacement from odolloxodowggdoxxxg?
2/323
Two letters picked without replacement from {v: 1, j: 1, k: 2}. What is prob of sequence vj?
1/12
What is prob of sequence hsy when three letters picked without replacement from hshyhyhyshhhy?
14/429
Three letters picked without replacement from srsdszsr. Give prob of sequence zrr.
1/168
What is prob of sequence zw when two letters picked without replacement from wusszumuuussls?
1/182
Two letters picked without replacement from {x: 1, i: 2, g: 1, u: 1}. Give prob of sequence xg.
1/20
What is prob of sequence vaav when four letters picked without replacement from vvvavvvvavvvavavvvv?
35/1292
Four letters picked without replacement from {h: 1, d: 5, w: 6, g: 6}. What is prob of sequence hdgw?
1/408
Three letters picked without replacement from {y: 2, h: 1, r: 1, a: 1, e: 1, u: 1}. What is prob of sequence ueh?
1/210
Four letters picked without replacement from {b: 1, x: 5, v: 1, w: 2}. Give prob of sequence wxxb.
5/378
What is prob of sequence pdp when three letters picked without replacement from dppdp?
1/5
What is prob of sequence idbi when four letters picked without replacement from {i: 2, b: 1, d: 2}?
1/30
Three letters picked without replacement from {g: 1, s: 2, x: 3, z: 3, y: 1, e: 1}. What is prob of sequence ezx?
1/110
Three letters picked without replacement from oxyfyo. Give prob of sequence fxo.
1/60
Four letters picked without replacement from stttsstttsytstttt. What is prob of sequence tyst?
55/5712
What is prob of sequence igi when three letters picked without replacement from {i: 5, g: 15}?
5/114
Calculate prob of sequence on when two letters picked without replacement from onnoonn.
2/7
What is prob of sequence zv when two letters picked without replacement from ddddddddzddddvdddd?
1/306
Two letters picked without replacement from {r: 1, u: 1, o: 1, i: 1, a: 1, x: 2}. Give prob of sequence ar.
1/42
Calculate prob of sequence mm when two letters picked without replacement from {m: 5, i: 4, w: 7, z: 2}.
10/153
What is prob of sequence xxa when three letters picked without replacement from {x: 13, a: 5}?
65/408
What is prob of sequence vvo when three letters picked without replacement from kpvvdpookddvvdkvvv?
7/408
Calculate prob of sequence xed when three letters picked without replacement from {z: 1, f: 1, x: 1, e: 1, d: 4}.
1/84
What is prob of sequence tz when two letters picked without replacement from {p: 5, t: 2, s: 3, z: 2, v: 7, g: 1}?
1/95
Three letters picked without replacement from {k: 2, n: 6}. What is prob of sequence kkk?
0
What is prob of sequence ex when two letters picked without replacement from {u: 1, x: 4, e: 2, t: 1, f: 1}?
1/9
Two letters picked without replacement from {l: 3, o: 5}. What is prob of sequence oo?
5/14
Calculate prob of sequence wzuk when four letters picked without replacement from akzbbwu.
1/840
Calculate prob of sequence vo when two letters picked without replacement from {o: 1, v: 1, n: 2}.
1/12
Three letters picked without replacement from {c: 6}. Give prob of sequence ccc.
1
Three letters picked without replacement from rzrqvzf. Give prob of sequence zqz.
1/105
Two letters picked without replacement from qqqrrrqq. What is prob of sequence qr?
15/56
Calculate prob of sequence dxx when three letters picked without replacement from dxdyxxd.
3/35
Calculate prob of sequence ll when two letters picked without replacement from pllplppllll.
21/55
Four letters picked without replacement from {o: 2, e: 4, q: 7}. Give prob of sequence qeqq.
7/143
What is prob of sequence fvfl when four letters picked without replacement from lafvufr?
1/420
Calculate prob of sequence izi when three letters picked without replacement from {i: 16, z: 2}.
5/51
Three letters picked without replacement from {e: 3, n: 2, d: 6, y: 1, z: 1}. Give prob of sequence nde.
3/143
Calculate prob of sequence aeay when four letters picked without replacement from aajyjayyjayaeaaaay.
1/204
Three letters picked without replacement from cccccblczlcl. What is prob of sequence cbl?
7/440
Calculate prob of sequence ns when two letters picked without replacement from smvnksv.
1/21
Two letters picked without replacement from {u: 1, s: 2, f: 7}. Give prob of sequence su.
1/45
Two letters picked without replacement from {x: 11, t: 3, i: 1}. What is prob of sequence ti?
1/70
Three letters picked without replacement from fgfjmffgzm. What is prob of sequence zjm?
1/360
Calculate prob of sequence ov when two letters picked without replacement from oooqv.
3/20
What is prob of sequence iiki when four letters picked without replacement from kikkikkikikkikii?
9/208
Calculate prob of sequence xkk when three letters picked without replacement from zxxkk.
1/15
Two letters picked without replacement from ygv. Give prob of sequence vy.
1/6
Calculate prob of sequence ckki when four letters picked without replacement from kkukikkcccsgkiicc.
15/1904
Two letters picked without replacement from kkssskkkskksqkkkk. Give prob of sequence kk.
55/136
Two letters picked without replacement from {t: 4, v: 2, p: 1}. Give prob of sequence pt.
2/21
What is prob of sequence ijd when three letters picked without replacement from {i: 1, d: 3, w: 2, j: 4}?
1/60
Four letters picked without replacement from ouuuuooouuou. What is prob of sequence uouu?
35/396
What is prob of sequence nen when three letters picked without replacement from eenezzwnzyi?
1/165
Calculate prob of sequence um when two letters picked without replacement from cmmzzzzzmuzmczzv.
1/60
Three letters picked without replacement from {a: 1, u: 2, c: 9, m: 1, t: 5}. Give prob of sequence acc.
1/68
Two letters picked without replacement from {r: 3, x: 15}. Give prob of sequence xr.
5/34
Four letters picked without replacement from ikkkkkikik. What is prob of sequence kiii | {
"pile_set_name": "DM Mathematics"
} |
= 15799 + -15797. What is the nearest to 2/31 in 0.2, -4, n, -2/55?
-2/55
Let j be (25/75)/((-2)/48) + 210/27. Which is the nearest to -2? (a) -1/6 (b) j (c) -0.16 (d) 1
b
Let u = -986 - -2419. Let a = 1434 - u. Let l(d) = -d - 9. Let z be l(-4). What is the closest to a in -3, 6/5, z?
6/5
Suppose -5*c + 35 = 10. Suppose -c*i = -0*i. Let r = 75.1 - 75.4. What is the closest to i in r, -0.2, 4?
-0.2
Let n = 71 + -72. Let k = -9 - -6. Let p = 0.0596 - -3.9404. Which is the closest to -2/7? (a) n (b) k (c) p
a
Let z = 445 - 236. Let i = -201 + z. Which is the nearest to 1/4? (a) i (b) -0.3 (c) -1/6
c
Let i = -308 + 340.8. Let u = i + -33. Let o = 2.86 + -2.86. Which is the closest to u? (a) 0.25 (b) o (c) -0.3
c
Let r(u) = -25*u + 9. Let l be r(1). Let y be -2 - ((-3 - (-12)/l) + 2). Let t = -2 + 2. What is the nearest to 2 in t, y, -0.1?
t
Let s = -1049 - -1047. Let v = -9.86 - 0.14. Let z = -10.3 - v. Which is the nearest to s? (a) -13 (b) 1 (c) z
c
Let b be (-6)/63*-1*(-16)/(176/(-33)). Let d = 15 - 6. What is the nearest to b in 7, -0.4, d?
-0.4
Let l = 225/4 + -3817/68. Let f(h) = -h**2 - 120*h + 495. Let u be f(4). What is the nearest to -4/7 in u, 3/4, l, 4?
u
Let l = -0.73 + 0.59. Let v = -2787 - -2783. Which is the nearest to -0.1? (a) l (b) v (c) -2
a
Suppose 0 = -5*b - 154 + 244. Let j = b - 5. What is the nearest to -3 in -0.4, j, -0.5?
-0.5
Let u(y) = -y**3 + 22*y**2 - 79*y + 130. Let m be u(18). What is the closest to 0.1 in -42/13, m, 3, -0.1?
-0.1
Let u = -0.3 + 0.8. Let n = -4.3734 + 1.3734. Which is the nearest to 22? (a) -0.5 (b) u (c) n
b
Let c = 388/895 + -6/179. Let q = -25 + 25.3. What is the nearest to c in -3/4, 2/5, 5, q?
2/5
Let d = 182.84 + -183. Let k = 155 - 154.6. Which is the nearest to 0.1? (a) d (b) k (c) -0.3
a
Let h = -824.617 + -19.283. Let n = 889 + h. Let u = n + -43. What is the nearest to -1/3 in -1, 2/7, u?
2/7
Suppose -3*y - 18 = -2*w - 14, y = 4*w - 8. Let r = 101 - 128. Which is the nearest to y? (a) r (b) 5 (c) 2
c
Let s = -7 - -4. Let h = -0.066414 - -0.066414. Let u = 3 - 8. Which is the nearest to h? (a) s (b) u (c) 0
c
Let h be (-285702)/(-1275) - (-4)/(-50). Let t be (8/(-70))/(6 + h/(-40)). What is the nearest to 0.1 in -0.01, t, 5, 2?
-0.01
Let s = 9.2 + 107.8. Let n = 112 - s. Let v = 0.9 + -1.4. Which is the closest to -3? (a) v (b) n (c) -3
c
Let f be (-3*(-2)/108)/((-3)/(-6)). What is the nearest to 2 in f, 5/23, -5?
5/23
Let m(d) = -d**3 + 26*d**2 - 23*d - 83. Let l be m(25). What is the nearest to 0.2 in 6, 1, l?
1
Let w = 0 - 2.05. Let n = w - -2. Let p = -253290.1 + 253290. Which is the closest to p? (a) 4 (b) n (c) 5
b
Let z = 1.112 - 52.112. What is the closest to 3 in 2/3, 3/7, z, -0.3?
2/3
Let k be -4*(-2 - 0) + (-103 - -96). Suppose 5*g = 3*g - 40. Let j be (2/g)/(4/10). Which is the closest to k? (a) j (b) 2 (c) 8
b
Let h be 75/45 + -5 + (-318)/(-90). What is the closest to 1 in -18, h, 11?
h
Let r be (0 + (-2)/(-14))/(((-1920)/(-56))/30). Which is the closest to 14? (a) 4 (b) 0.1 (c) -4 (d) r
a
Let t be 2 - (160/(-12))/(-5). Let r = -2758/15 - -184. Which is the nearest to t? (a) 2 (b) -12 (c) r
c
Let w = -4973 + 4972.7. What is the closest to 2/11 in 0, -33, w?
0
Let l be ((-7)/35)/(((-2)/(-6))/1). Let v = -22 + 72. Let w = 99/2 - v. What is the closest to -0.1 in l, w, -30?
w
Let k be 27/(-54)*4/(-19). Which is the closest to -1/2? (a) -4/3 (b) 3/8 (c) k (d) -2
c
Let u be (-1)/28 - (-2)/(-8). Suppose 1 = -5*z - x + 18, 0 = -z - 4*x + 11. Let l = 0.06 + -4.06. Which is the nearest to z? (a) -1/5 (b) l (c) u
a
Let o = 0.3807 - -0.0193. Let h = -8.6 - 43.4. Let d = h + 50. Which is the nearest to d? (a) o (b) -0.3 (c) 0.5
b
Let b = -28.37 + 28.42. What is the closest to -1/4 in b, -1, -2/9, 4?
-2/9
Let p = -32 - -32. Let f = 584 + -587. Let y = 0.01 + -0.01. Which is the nearest to y? (a) 2/5 (b) f (c) p
c
Suppose -5*h - 2*n - 2683 = 0, 3*n = -3 + 6. Let y = h - -548. Which is the nearest to 1/2? (a) y (b) 1 (c) -1/2 (d) 2
b
Let m = 15.559 - 15.459. Which is the nearest to -149? (a) -11 (b) 0 (c) m
a
Let l = 21524 - 21523. Which is the closest to l? (a) -3 (b) -4/15 (c) -5
b
Let d = -3217 + 3217. What is the nearest to d in -9/2, -2/17, 5?
-2/17
Let f be 0*(4/18 - (-170)/612). Which is the nearest to f? (a) -2 (b) -0.8 (c) -10/9 (d) -4
b
Let n = -20.815 + 0.215. Let s = -21 - n. What is the nearest to 0.3 in s, 2/17, -0.2?
2/17
Let l = -0.04395 - -2.04395. What is the closest to 9/5 in 0.1, 4, l?
l
Let k be 2 - 7 - ((-62)/(-403) + 389/(-78)). What is the closest to 2/71 in k, -4, 4?
k
Let d = -857.7 - -868.7. What is the nearest to d in 0, -0.7, -1/9?
0
Let w be (32/288)/((-11)/22). Let r = -1/21 + -2/7. Let a = 294 + -3820/13. What is the nearest to 1/2 in r, a, w?
a
Let r = -293 + 293.0571. Let f = -4.9429 - r. Which is the nearest to 10? (a) f (b) 2 (c) -0.07
b
Let s = 17/35 - 1/5. Let p be ((-2)/8)/((-14)/32*2). Which is the closest to s? (a) p (b) -1 (c) -3/5
a
Let l = 709/4 + -178. Let c = -568/5 + 114. What is the closest to -0.1 in 2, c, l?
c
Suppose i - 22 = -26, i - 1 = -5*r. Let j = -0.26 - 0.24. What is the nearest to 0.18 in 4/3, j, -3, r?
j
Let m = -1 + 4. Suppose -q = 5*r - 19, 4*r - 28 = 874*q - 878*q. Which is the closest to 2/3? (a) m (b) q (c) -0.1
c
Let s = 12.5 + -12.4. What is the closest to 28/11 in -2/3, 6, s, 5?
s
Let p = -656/7 - -3259/35. What is the nearest to -0.2 in -2/29, 1, p?
-2/29
Let f = -61 - -61.4. Let g = -2.342 + 2.342. Which is the nearest to g? (a) f (b) 5/3 (c) -16 (d) -0.1
d
Let i = -2.29 - -1.29. Let s = 5.05 + -5.23. What is the closest to s in i, 0, 2/9, 0.4?
0
Let a = -6.32 + 9.262. Let p = a + 0.058. Let q = -0.2 + -0.3. What is the nearest to -0.3 in q, -2/7, p?
-2/7
Let l be (18 + (15 - 40))*((-6)/21)/(-1). Suppose 12 = o + 3*m - 7*m, 9 = -3*m. Which is the nearest to o? (a) l (b) -4/3 (c) -4 (d) 3
b
Let g be ((-2)/30)/((-5)/(-15)). Let z = 1702 - 1704. What is the nearest to -1 in g, z, -2/7?
-2/7
Suppose -3*t = 5*v - 7*v + 950, -4*v + 4*t + 1908 = 0. Let w = 481 - v. Let y = -0.2 - 0. Which is the nearest to w? (a) -0.03 (b) -3 (c) y
a
Let u be (-40)/25*((-76)/40 - 24/40). Which is the closest to -2? (a) 3 (b) -1/4 (c) u (d) 2.3
b
Let d = 15598 + -15603. What is the nearest to 1 in -1, 0.3, d, -125/4?
0.3
Let t = -6607/84 + 315/4. Let x be (-1)/3*20*(-7)/(-28). Let p = -0.03 - 2.97. Which is the nearest to t? (a) 1 (b) x (c) p
a
Suppose k + 9*v - 4*v = 2, -v = -k + 8. Which is the closest to -30? (a) -5 (b) 2 (c) k
a
Let x = 2787.2 - 2785.2. Let r = -8 + -4. Let s(k) = k**3 + 13*k**2 + 13*k + 7. Let o be s(r). Which is the nearest to 12/7? (a) o (b) x (c) 0.4
b
Let q(t) = -t**3 - 5*t**2 - 6*t + 4. Suppose 5*l - 17 + 2 = 0. Let m(z) = -z. Let w be m(l). Let x be q(w). Which is the closest to -2/5? (a) -2 (b) 8 (c) x
a
Let u = -0.7882 - -0.6482. Let v = 0.2 + -0.16. Let t = v + u. Which is the closest to t? (a) 2 (b) 2/9 (c) 0.2
c
Let h be ((-3)/(18/(-5)))/(30/324*-6). Which is the closest to -2/13? (a) h (b) -64 (c) -3
a
Let v = 19300 + -19297. What is the nearest to -2/737 in v, -1/2, -1/3, -0.4?
-1/3
Suppose 3*z - 4*v + 9 = 0, 0 = -5*z - 2*v - 1026 + 1011. Which is the nearest to 2/3? (a) 4 (b) z (c) -33 (d) -1/10
d
Let g(x) = 421*x - 2951. Let y be g(7). Let h = 1/169 + -175/1014. Which is the closest to -2? (a) h (b) -2 (c) 3/2 (d) y
b
Let p(g) = 8*g - 28. Let i be p(4). Let u be 3/2 - 1/i. Let q = -200 + 204. Which is the nearest to 6? (a) -1 (b) q (c) u
b
Let r = 7.4 - -31.6. Let g = -20 - r. Let z = g + 58. What is the closest to z in -2, -1, -0.8?
-1
Let d = -4.991 + 4.72. Let u = d + -0.729. Which is the closest to u? (a) 2/11 (b) 45 (c) 3
a
Let k = 41 - 119/3. Let s = -1355/16 + 6743/80. Which is the closest to s? (a) 0 (b) k (c) 3
a
Let l = -14 - -23. Let g = -8.9 + l. Let n = -2/2479 - -4964/7437. What is the nearest to g in 15, -1/2, n?
n
Let b = 14.15 + -14.25. What is the nearest to -0.1 in -0.5, -5, b, 210?
b
Let l be (-7)/11*(-90)/(-21)*416/1040. What is the closest to -1/3 in -21, l, 1?
l
Suppose 340 = -12*d + 100. Let z be (-3)/(-12) - d/48. Let u = 0.14 - -5.86. What is the | {
"pile_set_name": "DM Mathematics"
} |
t is the square root of 34586 to the nearest integer?
186
What is 81801 to the power of 1/10, to the nearest integer?
3
What is the tenth root of 2492 to the nearest integer?
2
What is the third root of 24685 to the nearest integer?
29
What is 73431 to the power of 1/2, to the nearest integer?
271
What is the square root of 1056 to the nearest integer?
32
What is 3424 to the power of 1/2, to the nearest integer?
59
What is 4698 to the power of 1/3, to the nearest integer?
17
What is the square root of 6617 to the nearest integer?
81
What is the cube root of 13067 to the nearest integer?
24
What is the cube root of 1143 to the nearest integer?
10
What is the sixth root of 2076 to the nearest integer?
4
What is the cube root of 936 to the nearest integer?
10
What is 15946 to the power of 1/10, to the nearest integer?
3
What is 2442 to the power of 1/2, to the nearest integer?
49
What is 40729 to the power of 1/2, to the nearest integer?
202
What is 73484 to the power of 1/5, to the nearest integer?
9
What is the third root of 20008 to the nearest integer?
27
What is 822 to the power of 1/2, to the nearest integer?
29
What is 947 to the power of 1/2, to the nearest integer?
31
What is the eighth root of 1095 to the nearest integer?
2
What is 25609 to the power of 1/2, to the nearest integer?
160
What is 32180 to the power of 1/2, to the nearest integer?
179
What is the square root of 22236 to the nearest integer?
149
What is the third root of 4302 to the nearest integer?
16
What is 1460 to the power of 1/3, to the nearest integer?
11
What is the cube root of 437 to the nearest integer?
8
What is 5581 to the power of 1/2, to the nearest integer?
75
What is 712 to the power of 1/3, to the nearest integer?
9
What is 53061 to the power of 1/3, to the nearest integer?
38
What is 65428 to the power of 1/2, to the nearest integer?
256
What is 15133 to the power of 1/8, to the nearest integer?
3
What is the cube root of 21545 to the nearest integer?
28
What is the square root of 35960 to the nearest integer?
190
What is the cube root of 281 to the nearest integer?
7
What is the square root of 383 to the nearest integer?
20
What is 13399 to the power of 1/3, to the nearest integer?
24
What is the square root of 5970 to the nearest integer?
77
What is the cube root of 1082 to the nearest integer?
10
What is 5799 to the power of 1/6, to the nearest integer?
4
What is the sixth root of 253 to the nearest integer?
3
What is the third root of 136 to the nearest integer?
5
What is 6273 to the power of 1/4, to the nearest integer?
9
What is 4118 to the power of 1/9, to the nearest integer?
3
What is the third root of 10631 to the nearest integer?
22
What is the fifth root of 284 to the nearest integer?
3
What is the square root of 3242 to the nearest integer?
57
What is 26185 to the power of 1/5, to the nearest integer?
8
What is the third root of 2756 to the nearest integer?
14
What is the third root of 1465 to the nearest integer?
11
What is the square root of 179 to the nearest integer?
13
What is 138145 to the power of 1/2, to the nearest integer?
372
What is the tenth root of 653 to the nearest integer?
2
What is 2005 to the power of 1/2, to the nearest integer?
45
What is the square root of 31603 to the nearest integer?
178
What is the cube root of 1728 to the nearest integer?
12
What is 986 to the power of 1/5, to the nearest integer?
4
What is the fifth root of 40959 to the nearest integer?
8
What is the cube root of 731 to the nearest integer?
9
What is the tenth root of 424 to the nearest integer?
2
What is 108561 to the power of 1/8, to the nearest integer?
4
What is the eighth root of 6236 to the nearest integer?
3
What is the sixth root of 1154 to the nearest integer?
3
What is 2960 to the power of 1/4, to the nearest integer?
7
What is the ninth root of 2696 to the nearest integer?
2
What is 9448 to the power of 1/3, to the nearest integer?
21
What is 2250 to the power of 1/2, to the nearest integer?
47
What is 1311 to the power of 1/2, to the nearest integer?
36
What is 19586 to the power of 1/3, to the nearest integer?
27
What is the third root of 18650 to the nearest integer?
27
What is the ninth root of 16416 to the nearest integer?
3
What is the third root of 102796 to the nearest integer?
47
What is 51442 to the power of 1/3, to the nearest integer?
37
What is 5469 to the power of 1/3, to the nearest integer?
18
What is 7526 to the power of 1/3, to the nearest integer?
20
What is 3999 to the power of 1/5, to the nearest integer?
5
What is the eighth root of 60340 to the nearest integer?
4
What is the square root of 39068 to the nearest integer?
198
What is the third root of 2565 to the nearest integer?
14
What is the eighth root of 10560 to the nearest integer?
3
What is the third root of 444 to the nearest integer?
8
What is 306 to the power of 1/2, to the nearest integer?
17
What is 6267 to the power of 1/2, to the nearest integer?
79
What is the square root of 871 to the nearest integer?
30
What is the fourth root of 716 to the nearest integer?
5
What is 9737 to the power of 1/2, to the nearest integer?
99
What is 3020 to the power of 1/3, to the nearest integer?
14
What is the ninth root of 14739 to the nearest integer?
3
What is the cube root of 14660 to the nearest integer?
24
What is 9183 to the power of 1/4, to the nearest integer?
10
What is 11724 to the power of 1/5, to the nearest integer?
7
What is the third root of 1177 to the nearest integer?
11
What is 10930 to the power of 1/5, to the nearest integer?
6
What is 106349 to the power of 1/4, to the nearest integer?
18
What is 2741 to the power of 1/6, to the nearest integer?
4
What is 257 to the power of 1/3, to the nearest integer?
6
What is the eighth root of 665 to the nearest integer?
2
What is 7172 to the power of 1/2, to the nearest integer?
85
What is the cube root of 27348 to the nearest integer?
30
What is the square root of 88420 to the nearest integer?
297
What is the third root of 5721 to the nearest integer?
18
What is the third root of 1897 to the nearest integer?
12
What is the third root of 2074 to the nearest integer?
13
What is the third root of 3367 to the nearest integer?
15
What is the fifth root of 9460 to the nearest integer?
6
What is the square root of 15401 to the nearest integer?
124
What is 2740 to the power of 1/9, to the nearest integer?
2
What is the fifth root of 50200 to the nearest integer?
9
What is the fifth root of 621 to the nearest integer?
4
What is the cube root of 515 to the nearest integer?
8
What is the square root of 1055 to the nearest integer?
32
What is 28163 to the power of 1/2, to the nearest integer?
168
What is the fifth root of 78 to the nearest integer?
2
What is 5174 to the power of 1/3, to the nearest integer?
17
What is the square root of 12931 to the nearest integer?
114
What is the ninth root of 5645 to the nearest integer?
3
What is the cube root of 1199 to the nearest integer?
11
What is the cube root of 573 to the nearest integer?
8
What is 123172 to the power of 1/9, to the nearest integer?
4
What is 89291 to the power of 1/9, to the nearest integer?
4
What is 23712 to the power of 1/2, to the nearest integer?
154
What is the third root of 143745 to the nearest integer?
52
What is 535 to the power of 1/2, to the nearest integer?
23
What is 362 to the power of 1/9, to the nearest integer?
2
What is 22617 to the power of 1/2, to the nearest integer?
150
What is the third root of 988 to the nearest integer?
10
What is the sixth root of 436 to the nearest integer?
3
What is the tenth root of 2 to the nearest integer?
1
What is the tenth root of 2469 to the nearest integer?
2
What is the square root of 6616 to the nearest integer?
81
What is 7181 to the power of 1/9, to the nearest integer?
3
What is 27475 to the power of 1/2, to the nearest integer?
166
What is the third root of 548 to the nearest integer?
8
What is the ninth root of 65298 to the nearest integer?
3
What is 463 to the power of 1/9, to the nearest integer?
2
What is the square root of 1911 to the nearest integer?
44
What is the square root of 825 to the nearest integer?
29
What is the fourth root of 3799 to the nearest integer?
8
What is the eighth roo | {
"pile_set_name": "DM Mathematics"
} |
5*o**3 - 3*o**2 + o**2 + 4*o - 5*o. Let r(u) = u + u**2 - 4*u**3 + 0*u**3 + 3*u**3. What is -g(f) - 3*r(f)?
-2*f**3 - f**2 + 2*f
Let s(o) = o**2 - 4*o - 4. Let n = -31 + 18. Let g = -21 - n. Let r(b) = 2*b**2 - 11*b - 11. Determine g*s(l) + 3*r(l).
-2*l**2 - l - 1
Let s(z) be the second derivative of z**3/3 + 7*z**2/2 - z. Let h = 4 + 4. Let q = 3 - h. Let a(l) = -l - 3. What is q*a(p) - 2*s(p)?
p + 1
Let d(z) = -5*z**2 - z + 4. Let u(r) = r**3 + r**2 - r - 1. Calculate d(o) + u(o).
o**3 - 4*o**2 - 2*o + 3
Let y(i) = i**3 - i + 1. Let g(b) = 8*b**3 + 2*b**2 - 4*b + 8. Determine g(u) - 6*y(u).
2*u**3 + 2*u**2 + 2*u + 2
Let h(d) = -5*d + 6*d**2 + 2 - 11*d**2 + 2*d**3 + 5*d**3. Let u(b) = 11*b**3 - 8*b**2 - 8*b + 3. Calculate 8*h(j) - 5*u(j).
j**3 + 1
Let s = -22 - -19. Let d(v) = 5*v**2 + v + 2. Let t(g) = 9*g**2 + g + 3. Determine s*t(w) + 5*d(w).
-2*w**2 + 2*w + 1
Let l(s) = -s**2. Let i(c) = -16*c**2 - c - 3. Let g(a) = i(a) - 6*l(a). Let v(u) = -3*u**2 - 1. Calculate 2*g(b) - 7*v(b).
b**2 - 2*b + 1
Let d(a) = 2*a**3 + 6*a**2 - a. Let m(f) = -2*f**3 - 5*f**2 + 2*f. Give -5*d(i) - 6*m(i).
2*i**3 - 7*i
Let r = 7 - 12. Let b(j) = -8*j**3 - 2*j + 5. Let n(v) = 22*v - 47*v + 9*v**3 + 2 + 27*v - 8. What is r*n(x) - 6*b(x)?
3*x**3 + 2*x
Let j(r) be the third derivative of -r**4/24 - 5*r**3/6 - 6*r**2. Let i(o) = -o - 6. Give 5*i(u) - 6*j(u).
u
Let x(l) = -l**2 - 9*l - 6. Let q(s) = s + 1. What is 4*q(m) + x(m)?
-m**2 - 5*m - 2
Let l(q) be the third derivative of 7*q**4/24 + q**3/3 + 3*q**2. Let w be 1/(((-3)/15)/1). Let j = w + -1. Let r(f) = -4*f - 1. What is j*l(m) - 10*r(m)?
-2*m - 2
Let g(o) = 4*o**3 + 2*o**2 + 3*o - 1. Let i(s) = -16*s**3 - 9*s**2 - 13*s + 4. Calculate -18*g(v) - 4*i(v).
-8*v**3 - 2*v + 2
Let x(o) = -133*o - 77. Let y(b) = -18 + 22 + b + 6*b. Calculate -4*x(g) - 77*y(g).
-7*g
Let s(k) = -2*k + 4. Let i(q) be the first derivative of -q**2 + 3*q + 34. Let v be 2*2/(-4)*-6. Determine v*i(u) - 5*s(u).
-2*u - 2
Suppose 0 = -h - 1 + 2. Let x(u) be the third derivative of -u**6/120 - u**5/60 + u**4/24 - 7*u**2. Let c(b) = -6*b**3 - 7*b**2 + 5*b. Give h*c(l) - 5*x(l).
-l**3 - 2*l**2
Let u(w) = 30*w**2 - 3*w + 3. Let a(k) = -60*k**2 + 5*k - 5. Give -3*a(p) - 5*u(p).
30*p**2
Let n(s) be the second derivative of -s**3/3 - 3*s**2/2 + 27*s. Let h(x) = 6*x + 9. Give -4*h(l) - 11*n(l).
-2*l - 3
Let y(n) = -4*n**3 - n**2 - 3*n + 3. Let c(x) = 3*x**3 + x**2 + 2*x - 2. Determine -3*c(u) - 2*y(u).
-u**3 - u**2
Let l = -41 + 37. Let h(i) be the third derivative of i**4/8 - i**3/3 + 4*i**2. Let f(n) = -8*n + 5. Calculate l*f(q) - 11*h(q).
-q + 2
Let h(d) = 22*d**2 - 2. Let l(a) = -a**2. Calculate h(y) + 3*l(y).
19*y**2 - 2
Let y(d) = 38*d**2 + 2*d - 11*d**2 - 19*d**2. Let m(v) = 7*v**2 + v. What is 4*m(p) - 3*y(p)?
4*p**2 - 2*p
Let o(k) = -6*k**3 + k**2 + 2*k. Let s be o(-1). Let f(q) = 9*q**2 - 7*q. Let i(a) = 26*a**2 - 20*a. Determine s*i(h) - 14*f(h).
4*h**2 - 2*h
Let n(k) = 9*k**2 - 7*k. Let w(x) = 18*x**2 - 13*x. Calculate -11*n(d) + 6*w(d).
9*d**2 - d
Let g(s) = -s**3 + 8*s**2 - 13*s + 5. Let m be g(6). Let r(k) = -k + 1. Let q(t) be the first derivative of 2*t**2 - 5*t + 1. Calculate m*q(b) - 5*r(b).
b
Let j(f) = -2*f**2 - 2*f - 2. Let r(m) be the second derivative of m**4/3 + m**3/2 + 2*m**2 - 9*m. Give -7*j(y) - 4*r(y).
-2*y**2 + 2*y - 2
Suppose -6*f = -12*f + 18. Let m(u) = -u**3 - u**2 - u - 1. Let a(p) = 5*p**3 + 3*p + 3. Calculate f*m(s) + a(s).
2*s**3 - 3*s**2
Let m(f) = 2*f**2 - 4*f + 6. Let u(x) = -3*x**2 + 5*x - 7. Give -5*m(d) - 4*u(d).
2*d**2 - 2
Let p(q) = q**3. Let w(h) be the first derivative of -h**4/4 + 17. Let n(m) = -m. Let v be n(-2). Give v*w(c) + 3*p(c).
c**3
Let n(g) = -6*g + 2. Let l(d) = 3*d + 0*d - 6*d - 4. Let r be (6/5)/((-12)/40). Let a(b) = 5*b + 7. Let f(p) = r*a(p) - 7*l(p). Give -4*f(k) - n(k).
2*k - 2
Let p(n) = 5*n**2 - 3*n + 5 - 8*n + 3*n. Let j(h) = 11*h**2 - 17*h + 11. Determine -6*j(g) + 13*p(g).
-g**2 - 2*g - 1
Suppose 4*m = 7 + 5. Let h(z) = z**3 + 2*z**2 + 2*z - 1. Let x(t) = t**3 - 16 + 3*t**2 + 3*t + 15 + 0*t. What is m*h(i) - 2*x(i)?
i**3 - 1
Let j be 3/2*(3 + -1). Let s(r) = -3 + 0*r**3 - 3*r**3 + r**3 + 4. Let p(v) = 6 - 11*v**3 - 3 - 2 + 8*v**3. Determine j*p(d) - 5*s(d).
d**3 - 2
Let a(y) = -y**3 + 3*y**2 + 3. Let r = -12 - -15. Let f(w) = 2*w**3 - 5*w**2 - 5. Calculate r*f(d) + 5*a(d).
d**3
Let g(v) = -v - 1. Let p(w) = 12*w**2 + 12*w + 12. Give -12*g(j) - p(j).
-12*j**2
Let y(w) = -15*w**3 - 5*w + 5. Let g(m) = 46*m**3 + 14*m - 14. Give 5*g(v) + 14*y(v).
20*v**3
Let s(f) be the third derivative of -5*f**4/24 - f**3/6 - 10*f**2. Let i(y) = -9*y - 2. Calculate 6*i(t) - 11*s(t).
t - 1
Let w(a) = a - 1. Let k(n) = -3*n + 5*n - 3*n. Let t be 2 + (-8)/4 - 3. Let h = t - -2. Determine h*w(x) + k(x).
-2*x + 1
Let g(v) = -14*v**2 + 2*v - 10. Let d(s) = 1. Give 10*d(q) + g(q).
-14*q**2 + 2*q
Let n(m) be the first derivative of m**4 - 5*m**3/3 + 3*m**2 - m - 11. Let b(r) = -5*r**3 + 6*r**2 - 7*r + 1. Determine 6*b(a) + 7*n(a).
-2*a**3 + a**2 - 1
Let j(y) = -y + 2. Let f(s) = 3*s - 4. What is 2*f(n) + 5*j(n)?
n + 2
Let i(g) = -2*g - 2. Let u(o) = -2*o - 1. Let l = 13 + 0. Let j = l + -11. Determine j*i(y) - 3*u(y).
2*y - 1
Let k(s) = -s**2 - 2*s - 2. Let w(q) = -80*q**2 - 5*q + 85*q**2 + 9 + 14*q + 0. Suppose 0 = g - 4*f - 25, -3*g + 4*f = -f - 47. Calculate g*k(l) + 2*w(l).
l**2
Let s(l) = -2 - 3*l + 2 + 2 + 4. Let j(p) = 2*p - 5. Let i(b) be the third derivative of -b**5/12 + b**4/24 - 2*b**2. Let o be i(1). What is o*s(f) - 5*j(f)?
2*f + 1
Let s(y) = -5*y**2 + 3*y - 3. Let l(i) = i**2. Calculate 3*l(z) + s(z).
-2*z**2 + 3*z - 3
Let c(y) = 3*y**3 + y**2 - 6*y + 5. Let i(f) = -2*f**3 - f**2 + 5*f - 4. What is -4*c(k) - 5*i(k)?
-2*k**3 + k**2 - k
Let a(o) = -5*o + 11. Let t(y) = 6*y - 21. Let v(d) = 10 - 6*d + 6*d - 3*d. Let q(g) = -3*t(g) - 7*v(g). Determine 5*a(l) + 8*q(l).
-l - 1
Let u(k) = -k**2 - 2*k + 3. Let c(o) = -4*o**2 - 7*o + 9. Let h(j) = 2*c(j) - 7*u(j). Let d(z) = 4 - 5 - 1. What is 3*d(i) - 2*h(i)?
2*i**2
Suppose 6*g + 105 = 21*g. Let o(c) = 10*c + 4. Let b(q) = -5*q - 2. Give g*b(u) + 3*o(u).
-5*u - 2
Let j(d) = -d. Let b(l) = -15*l. Determine b(a) - 12*j(a).
-3*a
Let w(c) = -c**2 - c - 1. Let q(b) = 5*b**2 + 2*b + 3. Determine -2*q(s) - 6*w(s).
-4*s**2 + 2*s
Let x(h) = 2*h**3 + 3*h**2 - 4*h - 1. Let z = -2 + 4. Let t(a) = 7*a + 2 - 1 + 3 - 5*a**z - 2 - 3*a**3. Calculate -4*t(p) - 7*x(p).
-2*p**3 - p**2 - 1
Let q(l) = 11*l**3 - 10*l**2 + 13*l - 13. Let x(d) = -5*d**3 + 5*d**2 - 6*d + 6. Suppose 4*g - h = -3*h + 22, 2*h = -3*g + 16. Calculate g*q(b) + 13*x(b).
b**3 + 5*b**2
Let d(h) = -4*h - 7. Let j(r) = r + 1. Give 3*d(o) + 15*j(o).
3*o - 6
Let a(n) = 2*n**3 + 4*n - 4. Let t(i) = 15*i**3 + 27*i - 27. Let m be (-3224)/120 + (-6)/45. Give m*a(x) + 4*t(x).
6*x**3
Let w(y) = -y**2 - y + 1. Let h(t) be the third derivative of -t**6/60 - t**5/30 - t**4/8 + 5*t**3/6 + 21*t**2 - 2*t. Calculate h(c) - 3*w(c).
-2*c**3 + c**2 + 2
Let m(s) = -2*s**2 - 2*s + 3. Let f(c) = -5*c**2 - 5*c + 6. Calculate -3*f(d) + 7*m(d).
d**2 + d + 3
Let v(h) = -3*h**2 - 3*h + 2. Let r(b) = -7*b**2 - 7*b + 5. Let k(g) = 2*r(g) - 5*v(g). Let u(j) = 4*j**2 + 4*j - 1. Determine -5*k(d) + u(d).
-d**2 - d - 1
Let g(c) be the first derivative of c**3/3 - c**2/2 - 2. Suppose -2*v = -5*v + 5*m - 28, -2*v - m - 10 = 0. Let o(u) = -u**3 + 6*u**2 - 6*u. Give v*g(a) + o(a).
-a**3
Let k(i) = 4*i**3 - 4*i**2 - i + 3. Let w(s) = 3*s**3 - 3*s**2 - 2*s + 2. Calculate 2*k(n) - 3*w(n).
-n**3 + n**2 + 4*n
Let z(d) = 2*d**3 + 7*d. Let n(t) = -t - 2. Let m(x) = -x - 3. Let a(l) = 2*m(l) - 3*n(l). Suppose 5*y = -25, 2*r + 0 + 27 = -3*y. What is r*a(k) + z(k)?
2*k**3 + k
Let u(g) = -85*g + 5. Let n(f) = -57*f + 3. Determine 8*n(y) - 5*u(y).
-31*y - 1
Let j(x) = 3*x**3 + 5*x**2 - 6*x + 3. Let c(r) = 7*r**3 + 11*r**2 - 13*r + 6. Calculate 6*c(b) - 13*j(b).
3*b**3 + b**2 - 3
Let l(a) = 4*a**2 - 4*a. Suppose -3*y - 3*t + 16 = y, 0 = -y - 3*t - 5. Let w(x) = 9*x**2 - 9*x. Calculate y*l(o) - 3*w(o).
o**2 - o
Let h(i) be the third derivative of i**2 + 0 + 0*i + 1/12*i**4 - 1/6*i**3. Let w(a) = a. Suppose -2*r + 15 = -7*r. Give r*w(n) + h(n).
-n - 1
Let j(p) = 8*p**2. Let d(i) = i**3 + i**2. Give -3*d(q) + j(q).
-3*q**3 + 5*q**2
Let n(i) = 21*i* | {
"pile_set_name": "DM Mathematics"
} |
24, 2*x - 4*s + p = 0. Is x at most g?
False
Let b be 9406/(-17)*74/(-112)*-1979. Let q = -723459 - b. Let f = q - 19/7. Is -1 smaller than f?
True
Suppose -w - 3*w + 27 = 3*n, 13 = -5*n + 3*w. Is n < 3318?
True
Suppose -3*l - g + 681 = -5*g, -4*l = -3*g - 908. Let m(a) = a**3 + 227. Let t be m(0). Is t at least as big as l?
True
Let x be (-432)/(-243) + 4/18. Let a be (392/(-115))/2 + x/5. Is a smaller than -1?
True
Suppose 4 = -2*t + 4*w, -70*w - 5 = 5*t - 75*w. Is t at least as big as -0.3024?
True
Let a be (-15)/6 + 1 - 91/14. Let d be (a/(-56) + (-141)/7)/(-1). Let f be d/6 - (-6)/3. Is f less than 4?
False
Let n(g) = -g**3 - 5*g**2 + 10*g + 9. Let q be n(-6). Let r be 7*3/4*4. Suppose -4*s - 43 = r. Are q and s nonequal?
True
Let n = 4898 + -4922.87. Let y = 0.87 + n. Let j = 23.9 + y. Are 1/23 and j unequal?
True
Suppose 34*y = 32*y + 6, -2*p + 5*y - 77 = 0. Let t(s) = -s - 35. Let f be t(0). Which is greater: p or f?
p
Let o be (-1)/7 + (-339)/(-21). Suppose 0 = -2*p - 2*p, -2*p = 4*a + o. Which is greater: a or 26?
26
Let g = 17009 - 68087026/4003. Which is smaller: -1 or g?
-1
Suppose -5*f - 5 = 0, 0 = -y - y + 2*f + 48. Suppose y*q + 13 = 36*q. Which is greater: 2/1229 or q?
q
Suppose -3*g - y = -79, -5 = -3811*y + 3806*y. Let a = -2675 + 18908/7. Is g < a?
True
Let z = -487/273 + 38/21. Let i be -4*(-9)/(-48) + (-146)/8. Let b = -20 - i. Which is bigger: b or z?
z
Let j be ((-33)/(-6) - 3)*(17 + (-858)/52). Let g(d) = -d**2 - 6*d + 1. Let v be g(-6). Let x = 1 - v. Which is bigger: j or x?
j
Suppose 6*j = 86 - 98. Let x be 108/(-810)*(8 + (j - 0)). Is x >= 0.29?
False
Suppose 2*n = 3*n + 5*f, 5*n + 3*f = 88. Suppose -2*z + 4 = -3*j + n, 4*z + 3*j + 14 = 0. Is -29/8 bigger than z?
True
Let t = -10 + 10. Let i be (-11521)/6068 - 2*21/(-24). Which is greater: i or t?
t
Let y = -9634 + 7947. Is y greater than or equal to -1691?
True
Let a = -707 + 504. Suppose 4205*c = 4206*c + 202. Is a less than or equal to c?
True
Let f = 9 + -30. Let z = 0.259 + -18.259. Let s = z - f. Which is smaller: s or -8?
-8
Suppose 0 = -3*a - 2*k - 33, 4*k = 6*a - 2*a + 24. Let v be (-1318)/3990 - 3/a. Which is smaller: 1 or v?
v
Let p = -94 - -88. Let h be (-8)/(p + -4 - -6). Do h and 31 have different values?
True
Let g(y) = y**3 + 29*y**2 - 26*y + 253. Let c be g(-32). Which is smaller: -1988 or c?
-1988
Let r = -712.7 - -678. Let l = r - -34.8. Do 144 and l have the same value?
False
Let q be ((-25)/(-2) - 11) + (-3)/2. Is 7119 smaller than q?
False
Let r be 5310/(-36) + (-6)/4. Let v = 160 + r. Which is smaller: 10 or v?
10
Suppose 0*z + 234 = -3*z. Let n = -111/380 - -4/95. Which is smaller: n or z?
z
Let i(o) = 7*o - 206. Let j(t) = -17*t - 134. Let s be j(-9). Let x be i(s). Which is greater: x or -74?
x
Suppose -9316*p + 2183 = -9279*p. Let c = 0.9 + -1. Is c at least as big as p?
False
Let y = 1764 + -1753. Which is smaller: y or 0.18?
0.18
Let r = -618 + 1116. Let f be (-2)/4*(-16 + r). Does -241 = f?
True
Let j = 546 + -572.1. Let p = -26 - j. Let k = -10.9 - p. Which is greater: 2/5 or k?
2/5
Let g = 121 + -112. Let y = 5/517 - -86761/9823. Is y > g?
False
Let y(o) = -o**3 + 17*o**2 + 2*o - 27. Let w be y(17). Suppose w*h = -3*h - 10. Let m be (-518)/(-84) - (2 - h)*-1. Which is smaller: m or 9?
9
Let y be ((-4)/(-3))/(13/(-6)). Let g = 457 + -457. Suppose 6 = -2*j + 5*v + 27, g = v + 5. Which is greater: y or j?
y
Let s = 486 + -424.2. Let d = s + -62. Which is greater: d or -2/85?
-2/85
Suppose -21*u = -16*u + 680. Let v = u + 135. Is -2 at least v?
False
Suppose -38*j + 43*j - 4*f - 7 = 0, -4*f = -4*j + 8. Which is smaller: 4/7511 or j?
j
Let d be (-3180)/(-660) - 2/(-11). Suppose 3*u + 21 = -5*n, u - n - 6 = -d. Which is greater: 10 or u?
10
Suppose 0 = -4*i - 17 - 3. Let x be (16 - 0)*i/10. Let h(u) = u**2 - 72*u + 326. Let b be h(5). Is b bigger than x?
False
Let p(y) = 2*y**3 + 10*y**2 + 4*y + 4. Let j be p(-4). Let f be (-192)/40 + (-24)/j. Which is bigger: f or 3?
3
Let c(h) be the second derivative of h**5/20 + 3*h**4/4 + 5*h**3/3 - 17*h**2/2 + 1072*h. Suppose 6*w + 35 = w. Let f be c(w). Is 11 bigger than f?
False
Let v be (-8)/(-5) + -1 - 110/(-25). Suppose 12*f - v = 11*f. Suppose -281 = -f*x - 41. Are -0.1 and x unequal?
True
Let o = -6681/2 - -3341. Which is smaller: 335 or o?
o
Let j = -0.09164 - 0.00516. Which is smaller: 0.1 or j?
j
Let p(h) = 6*h**2 + 2*h - 16 + 41 + 2*h. Let t(j) = j**2 + j + 5. Let u(i) = 2*p(i) - 11*t(i). Let x be u(4). Is x equal to 2/39?
False
Suppose -65*f + 4497 = -3888. Let j = -0.7 - 3.3. Is f not equal to j?
True
Let m = -75/14 + 867/154. Suppose -10 = -5*c - 5*z, -2*c + 2*z - 1 = 3*z. Let v be -1*(-2 + c)/(-5). Is v less than m?
True
Let y(n) = -66*n + 408. Let u be y(6). Suppose j + 48 = u. Are -39 and j nonequal?
True
Let y = -220 - -231. Let x be 15/30 - y/6. Which is greater: -2 or x?
x
Let q be ((-54)/(-30))/(9/5370). Suppose 38*k + q = 276. Is k >= -22?
True
Let s(k) = 51*k + 124. Let u(y) = y**3 - 8*y**2 + 16*y - 7. Let c be u(4). Let a be s(c). Is a not equal to -232?
True
Let h = -2.3 - 4.7. Let c = h + 6.991. Which is smaller: c or 1?
c
Let u be (-12)/54 - (-32)/(-18). Let y be u - -7 - (18556/2320 - 3). Is y >= 0?
True
Let f = 76040 - 76043. Let z(x) = x**3 + 5*x**2 - 3. Let u be z(-6). Is u at least f?
False
Let j be (-5)/(5285/(-1833)) + 4/(-1). Let a = j + -3/151. Is a > -5/3?
False
Let t(q) = -4*q + 20. Let g be t(-28). Suppose -25*s = -29*s + g. Let j(l) = 6*l - 4. Let w be j(6). Which is smaller: s or w?
w
Let b be 3*56/(-15) + 4. Let t = 1372 - 1380. Which is smaller: b or t?
t
Suppose 8*m - 2370 = 2310. Let j be (-5)/3*299/m. Is j > -2?
True
Suppose 28*n - 36*n = 16. Let p be -116 - (n - -9) - -6. Is -119 <= p?
True
Suppose -4*v = 12*v - 144. Let l be 15/(-5)*v/((-18)/8). Is 12 less than or equal to l?
True
Let s = -6 + -20. Let v = s - -25.7. Let q = 0 - v. Is -0.2 <= q?
True
Let m(i) = -8*i**3 + 32*i**2 + 70*i + 8. Let x(k) = 19*k**3 - 65*k**2 - 141*k - 16. Let h(d) = 7*m(d) + 3*x(d). Let p be h(-26). Is 294 at most as big as p?
True
Let k(l) = -3*l**3 - 3*l**2 + 4. Let d be k(-2). Let j be 4/10 - (-18)/(-45). Suppose j = 7*b + 5 + d. Which is smaller: b or -25/6?
-25/6
Let n = -121835/1311314 + -1684574432567/64667449910. Let o = n + -1/7045. Are -27 and o unequal?
True
Let n = 408 - 277. Let l = n - 53. Suppose 18*h + 4*h = 22. Is l at most as big as h?
False
Let l be 0 + (-1)/(-5) - (-5106)/(-30). Let a = -2121 + l. Let u = 36671/16 + a. Is 0 != u?
True
Let z = 3/713969 - -333422620/214904669. Let v = 36/43 - z. Let t(f) = 2*f + 3. Let i be t(-2). Which is bigger: i or v?
v
Let j = -402.27 - -404. Let t = -1.73 + j. Let g = 22/27 + -736/837. Is g greater than or equal to t?
False
Suppose -85*m - 10 = -87*m. Let i be -1 + 15/(-3) + m. Is i smaller than -1/388?
True
Suppose v + 148 + 3 = 0. Let u = 452/3 + v. Let a = 0.65 + -1.15. Is a greater than or equal to u?
False
Let l = -1864 - -1864.01576. Which is bigger: 0.1 or l?
0.1
Let v(q) = -2*q**3 - 27*q**2 + 14*q - 9. Let z be v(-15). Suppose -46*w = -38*w + z. Is -58 at most w?
True
Let r = 15194 - 28197/2. Let b = 785 - r. Which is greater: -312 or b?
b
Let f(y) = -y**3 - 21*y**2 + 3*y + 59. Let r be f(-21). Let q be (0 - r) + (-56)/14. Are q and 28/27 equal?
False
Let d(s) = -s**3 - 10*s**2 + 5*s - 60. Let v be d(-11). Let u be 14*v/(-12) + -4. Which is smaller: u or -9?
u
Let g = 91200/101 - 903. Let v = g - 89/404. Which is smaller: v or -8/3?
-8/3
Let c = 244 - 133. Let w = -110.9 + c. Let s = -42.21 + 42. Which is smaller: w or s?
s
Let o(v) be the first derivative of 2*v**2 + 21*v - 12. Let r be o(-4). Suppose -3*p + 13 = -8. Which is smaller: p or r?
r
Let j(t) = -3*t + 8. Let y be j(-2). Suppose -l + y = -8*l. Is 108 bigger than l?
True
Suppose -2*j - b = -10, 2*b + 11 + 9 = 4*j. Suppose -j*i = 3*s - 3*i + 31, s - 2*i + 5 = 0. Are -11 and s unequal?
True
Let w be 125/(-10) + 1/2. Suppose -156*g - 9 = -306*g + 151*g. Is w at least g?
False
Let j be (6/14)/(28/(-49)). Let t = 9.859 + -0.059. Let l = -10 + t. Which is smaller: l or j?
j
Let r = -0.0434 + 38.0434. Let z = 16 + -46. Let f = z + r. Which is greater: -4 or f?
f
Let m = -54 - -57. Suppose -5*u + 33 = k, m*u = -2*k + 17 + 7. Let n(g) = -g**2 + 6*g + 4. L | {
"pile_set_name": "DM Mathematics"
} |
7*k for k.
4
Let d be 10/(-5) - (3 + -16). Suppose 2*y - d*y = -27. Solve y + 1 = 4*o for o.
1
Let m = -860 - -874. Solve 5*k + m = 29 for k.
3
Let o = 90 + -93. Let x be (o - -2 - 0) + (4 - 0). Solve 0 = v - x*v for v.
0
Let u(w) = -w**2 - 12*w + 2. Let c be u(-16). Let b = -38 - c. Let h be 6/(b/5)*4. Solve 0 = -3*y - h - 7 for y.
-4
Suppose -2*r + 5 = -3. Suppose -7 = -r*l - s, -4*l = -l - s. Solve -7*j + 8*j = l for j.
1
Suppose 4*j + 32 = 4*r, 5*r + 74*j - 19 = 72*j. Suppose 2*b + 8 = 18. Solve -b*u + r = -0 for u.
1
Let d be -12*((-1)/(-2))/(5 - 7). Solve -8*f = -d*f - 25 for f.
5
Let h(m) = -3*m - 4. Let z be h(-5). Let q(a) = a**3 - 11*a**2 + a - 4. Let l be q(z). Let w be (l - 4)*(0 + 1). Solve 0*u + 3*u + w = 0 for u.
-1
Let r(l) = -l**3 + 51*l**2 + 2*l - 100. Let b be r(51). Solve 0 = b*f - 7*f - 10 for f.
-2
Let q(c) = c**2 - 32*c + 170. Let u be q(31). Solve -o - u = -142 for o.
3
Let s be (-1)/((-2 - 0)/6). Suppose 9 = s*j - z, -z + 3 = 5*j - 4. Suppose -2 = -2*v + 8. Solve v*c - 3 = j*c for c.
1
Suppose 3*b + 16 - 112 = 0. Suppose -6*y + 2*y + b = 0. Suppose 0 = d - 2*v + v - 19, -2*v = -3*d + 58. Solve -d = y*s - 3*s for s.
-4
Let b(l) = 3*l**2 + 5*l + 6. Let q be b(-3). Let d = 19 - q. Solve 5*v - d = 4 for v.
1
Suppose -2*v - 3*t = -0*v, v = -3*t - 3. Suppose -o - v = -10. Let g = -7 + o. Solve q = -g - 4 for q.
-4
Let r = -111 + 121. Solve 0 = 9*z - 4*z - r for z.
2
Suppose 0 = -q - 2*q. Suppose -6*s + 16*s - 40 = 0. Solve i - 1 - s = q for i.
5
Let x = 23 + -20. Suppose -x*q + 21 = 9. Solve -5*u - q = 6 for u.
-2
Suppose 9*j = -0*j + j. Solve j = 7*w - 6*w for w.
0
Suppose 4*v + 27 = 3*f, 0 = 4*f + 2*v + 3 - 17. Let i be 0 - (-8 + 3) - (-7 - -10). Solve f = i*c - 1 for c.
3
Let m = -1130 - -1146. Solve -4*j - m = -12*j for j.
2
Let d(g) = g**2 - 12*g. Let k be d(12). Suppose -8*o + 13*o - 50 = k. Solve a + a + o = 0 for a.
-5
Let u(s) = s**3 - 12*s**2 - s + 7. Let j(x) = 3*x**2 - 9*x. Let b be j(4). Let q be u(b). Let h be (-2)/((15/6)/q). Solve 0 = -h*t - 0*t for t.
0
Let l(t) = -3*t**3 + 67*t**2 - 22*t + 11. Let u be l(22). Solve 8*x + 21 + u = 0 for x.
-4
Let k = -77 + 77. Suppose 3*z - 16 - 8 = k. Solve 0 = -6*h + 2*h - z for h.
-2
Let a(h) = -11*h + 37. Let s be a(3). Solve -5*v + 11 = -s for v.
3
Let m = -1157 + 1217. Solve 30 - m = -6*r for r.
5
Let s = -34 - -37. Suppose 2*j + 0*j - s*k - 16 = 0, k = 5*j - 14. Solve -8 = 2*d - j for d.
-3
Let n = 0 - 0. Suppose -7*y + 4 = -5*y. Let w be ((3 - y)/((-5)/(-65)))/1. Solve n = 5*a + 2 + w for a.
-3
Let j(z) = z**3 + 5*z**2 + 4*z + 3. Let w(h) = 3*h + 1. Let r(c) = 7*c + 2. Let u(y) = -2*r(y) + 5*w(y). Let d be u(-5). Let n be j(d). Solve b = n - 1 for b.
2
Let q be 1 + 4/3*(-38 - -41). Solve q*h = 10*h - 5 for h.
1
Let q be 1*(17 + 0 + -4). Let y be 1 - (-1 - -2)*-2. Let r = y + q. Solve -r = -3*g - 7 for g.
3
Suppose 2*b + 3*u + 1 = 6*u, -2*u + 6 = 0. Suppose 5*y - 5 = -r, -4*r - 17 = r + b*y. Let j be 1 + (0 - r - -2). Solve k = -k - j for k.
-4
Suppose -5*w - u = -4*w - 9, 0 = -5*u - 5. Solve w = 7*h - 5*h for h.
5
Let v = 0 + 0. Suppose 5*p - 90 = 4*w, -w - 35 = 2*p - 6. Let n be w/(-7) - (-3)/7. Solve -n*h - 20 = -v*h for h.
-5
Let l = 312 - 308. Solve l = 5*o + 29 for o.
-5
Let r be 8/28 + (-120)/(-21) + 0. Solve 5 = -r*a + 7*a for a.
5
Let y(n) = 2*n**2 + 14*n + 29. Let a be y(-3). Solve a*u = 27 - 2 for u.
5
Let l(g) = -g**3 + 4*g**2 + 4*g + 5. Let a be ((-4)/(-8))/(1/10). Let n be l(a). Suppose n = -4*b + 21 - 1. Solve b*x - 6 = 2*x for x.
2
Let j be (9 - (-3 + 7))/1. Solve -j = -4*g + 5*g for g.
-5
Suppose 0*g - 3*g - 3 = 0, -3*v - 37 = g. Let i = -12 - v. Solve i + 2 = -2*c for c.
-1
Let k be 56/2*(-2)/(-4). Let g = -75 + 69. Let m = k + g. Solve 3*l = -l + m for l.
2
Suppose 4*u = -r + 11, 5*r - 25 = 13*u - 18*u. Solve -r = -4*a + 9 for a.
3
Let w(h) = -76*h + 157. Let f be w(2). Let b(g) = g + 9. Let a be b(-5). Let p be (3/(-2))/((-2)/a). Solve f = p*q + 2 for q.
1
Let v(u) = u + 4. Let j(s) = s**3 + 3*s**2 + 2*s - 2. Let i be j(-3). Let c be v(i). Let b(g) = -g**2 - 6*g - 5. Let o be b(c). Solve -12 = -o*r + 3 for r.
5
Suppose 57 - 53 = -2*f + x, -5*f + 2*x - 12 = 0. Let y(s) be the second derivative of s**4/12 + s**3/2 - 2*s**2 + s. Let p be y(f). Solve -5*v + p*v = -5 for v.
1
Suppose -s + 3*i - 3 = 0, 2*s + i - 6 = 9. Let a be (-4)/s + (-170)/(-30). Solve -a = -3*z + 7 for z.
4
Let w(p) = 3*p + 6*p - 8*p - 12. Let d be w(16). Solve -5*l + d*l = -2 for l.
2
Suppose -n = 3*n - 8. Suppose 4 = 2*v + n*u, 0 = 5*v + 2*u - 3*u - 22. Suppose -m = -v - 0. Solve 2*i - 3*i = -m for i.
4
Let h(r) be the third derivative of -r**4/6 - r**3/3 - r**2. Let l be h(-3). Let c be (156/(-1456))/((-12)/14) + 2/(-16). Solve c*w = 5*w - l for w.
2
Suppose -22*n - 49 + 137 = 0. Solve 11 = n*l + 3 for l.
2
Suppose 0 = -38*g + 172 + 56. Solve 114*k - g = 112*k for k.
3
Let j(r) be the first derivative of r**4/4 + 5*r**3/3 - 4*r**2 - 4*r - 4. Let n be 3 - 1 - 24/3. Let o be j(n). Solve 6*l - 4*l + o = 0 for l.
-4
Suppose 3*t - 4*t - 3*w = 3, -4*t + 22 = -5*w. Suppose -3*i = 24 + t. Let g be (-14)/(-18) + (-2)/i. Solve -z + 4 = g for z.
3
Let g(d) = d + 14. Suppose 3*u - v = -30 + 6, -u - 8 = 3*v. Let q be g(u). Solve q*a + 20 = a for a.
-4
Let o(r) = -r**2 - 24*r + 127. Let x be o(-28). Solve x*l = 6*l + 27 for l.
3
Suppose -22*k = -16*k - 12. Solve 8 + k = -5*l for l.
-2
Let r be 135/12 - 1/4. Suppose 38 = 6*u - 4*u. Let i = 20 - u. Solve r = -3*y - i for y.
-4
Suppose 7 = 2*i - 3. Suppose 2 + 3 = i*k. Let y(q) = -q + 1. Let m be y(k). Solve -l - 5 = -m for l.
-5
Suppose -3*c + 27 = 3*y, c + 2*y - 21 = -2*y. Suppose -4*h = -2*n - 42, 3*h + h - 3*n - 45 = 0. Let l = -6 + h. Solve 4 = -l*f - c for f.
-3
Let m be (-19 + 19)/(-1*1). Solve -2*x - 17*x = m for x.
0
Let v(s) = -s**2 + 25*s - 150. Let o be v(10). Solve -q = -o*q + 4 for q.
-4
Let y = -89 - -91. Solve 0 = 2*h + y*h + 4 for h.
-1
Let a be (-24)/(-18)*108/8. Solve a*q + 0 = 36 for q.
2
Let g = -2 - -1. Let h = g + 1. Suppose -2*q = 5*i + 19, -2*q - i - 1 = -2. Solve q*a - a + 6 = h for a.
-3
Let q(y) = 78*y + 32 - 81*y + 42. Let o be q(24). Solve -o*u + 3 - 1 = 0 for u.
1
Suppose 3*y + k = 30, 0*y + 5*k = 3*y - 12. Suppose -q + 7 = 4*b, -q + 0*q = -4*b + y. Solve 0 = -6*p + b*p - 20 for p.
-5
Let d be -8*1 + (8 - 12). Let t(n) = -4*n - 44. Let y be t(d). Solve y*s = 2*s + 2 for s.
1
Suppose 2*i - 2 = 4. Suppose 2*f - 4*w + 28 = 3*f, 20 = i*f - 4*w. Suppose f = j + 2*j. Solve 2*u + 2 = j for u.
1
Let u(h) = 2*h + 5. Let t be u(-2). Let n be (3/t)/(-3) - -3. Solve 0 = -n*c - 1 + 9 for c.
4
Let p be 0/((-4)/8*4). Suppose p = -h - 5*a + a + 20, -2*h - a = -12. Solve 5 = -h*w - 3 for w.
-2
Let f(x) = -27*x - 72. Let u be f(-3). Solve 8*i - u*i = 3 for i.
-3
Let j(i) = -i**3 + 0 + 0 + 11 + 5*i - 10*i**2 - 4*i. Let p be j(-10). Let a = 5 - p. Solve -5 = d + a*d for d.
-1
Let p be 14 - ((6 - 0) + -4). Suppose 4*z - 5*m + 21 = -18, 4*m = p. Let x be 11/33 - 16/z. Solve x - 5 = -2*l for l.
1
Let v(u) = 2*u**2 + 12*u + 4. Let l be v(-6). Suppose 6*a - l*n = 3*a + 31, 48 = 4*a - 2*n. Let k = -10 + a. Solve -k*y + 5*y = 6 for y.
3
Let l be 51/153 - -2*(-2)/12. Solve -5*g + l = -20 for g.
4
Let o = -61 - -117. Suppose o = -n + 59. Solve 14 = n*u - 1 for u.
5
Let t = -6 - -9. Let n(m) = -m**3 + 17*m**2 - 15*m - 16. Let v be n(16). Let l be (5 + -4 + v)*7. Solve 4*x + t = l*x for x.
1
Suppose 7*m - 99 = -64. Solve -c - 1 = -m for c.
4
Let h be 289/17 - (-2 - (-9)/(-3)). Solve -p - 26 = -h for p.
-4
Let b(m) = m**3 + 7*m**2 - 9*m. Let w be b(-8). Let d be 120/12*w/(-5). Let q be 3/((-12)/d) + 3. Solve -5*a - q = 3 for a.
-2
Suppose -2*k + 18 = 3*j, -6*j - 4*k = -j - 32. Suppose 10*c = 11*c - 98. Suppose 0 = 9*o - 2*o - c. Solve -2*f = o - j for f.
-5
Let r(i) be the first derivative of -2*i**3/3 + 3*i**2/2 + 2*i + 3. Let p be r(2). Solve p*v = 5*v + 20 for v.
-4
Suppose -34*w + 118 - 16 = 0. Solve 13 - 25 = w*l for l.
-4
Let g = -767 - -774. Solve 0 = 5*m + g*m - 24 for m.
2
Let o = -272 + 297. Solve 8*z = 13*z + o for z.
-5
Let a = -27 + 31. Suppose 1 = a*n - 7. Solve 5*i = n*i for i.
0
Suppose 0 = 2*k - 4*k + 4. Suppose 4*g + 4 = k*g, 2*g = 4*j - 24. Solve -j*l + l = 0 for l.
0
Let m(v) = -v - 8. Let l(r) = 3. Let a(g) = 7*l(g) + 2*m | {
"pile_set_name": "DM Mathematics"
} |
153*a**2 - 87*a + 12.
3*(a - 4)*(a - 1)**2*(5*a - 1)
Solve 3*a**2 + 186*a = 0 for a.
-62, 0
Factor 4*d**2 - 208*d.
4*d*(d - 52)
Find c such that 7*c**4/2 - 75*c**3/2 + 111*c**2/2 - 25*c/2 - 9 = 0.
-2/7, 1, 9
Suppose 26*j**2 - 77*j - 3 = 0. Calculate j.
-1/26, 3
Solve -3*o**2/4 + 21*o/4 + 735 = 0.
-28, 35
Solve -2*u**4/9 + 16*u**3/9 - 8*u**2/3 = 0 for u.
0, 2, 6
Factor s**4/7 - s**3 + 6*s**2/7.
s**2*(s - 6)*(s - 1)/7
Factor 5*s**4 - 65*s**3 + 200*s**2.
5*s**2*(s - 8)*(s - 5)
Find b, given that -2*b**4 + 82*b**3 + 272*b**2 - 352*b = 0.
-4, 0, 1, 44
Factor 2*j**4/5 + 8*j**3 + 234*j**2/5 + 396*j/5.
2*j*(j + 3)*(j + 6)*(j + 11)/5
Determine v so that 16*v**2/3 - 45*v/2 + 14/3 = 0.
7/32, 4
Find c such that 2*c**4/15 + 11668*c**3/15 + 5668702*c**2/5 - 34047224*c/15 + 17029448/15 = 0.
-2918, 1
Find j, given that -2*j**3 + 40*j**2 - 266*j + 588 = 0.
6, 7
Let -2*j**3 - 24*j**2 + 138*j + 160 = 0. Calculate j.
-16, -1, 5
Factor -3*h**3/7 + 32*h**2/7 - 60*h/7 - 144/7.
-(h - 6)**2*(3*h + 4)/7
Find n such that 2*n**2/3 - 80*n/3 - 150 = 0.
-5, 45
Factor 5*v**5 - 20*v**4 - 25*v**3.
5*v**3*(v - 5)*(v + 1)
Find n such that n**5 - 11*n**4 + 42*n**3 - 70*n**2 + 53*n - 15 = 0.
1, 3, 5
Let -3*g**3 - 15*g**2 + 3*g + 15 = 0. What is g?
-5, -1, 1
Suppose -20*q**3/3 + 15*q**2 + 50*q - 40/3 = 0. Calculate q.
-2, 1/4, 4
Factor -24*b**3/5 - 15*b**2 - 9*b/5.
-3*b*(b + 3)*(8*b + 1)/5
Factor 4*z**5 - 48*z**4 + 108*z**3 + 160*z**2.
4*z**2*(z - 8)*(z - 5)*(z + 1)
Find u, given that -3*u**5 + 3*u**4 + 108*u**3 - 12*u**2 - 672*u + 576 = 0.
-4, 1, 2, 6
Factor -5*f**3/4 - 1785*f**2/4 - 3510*f - 6980.
-5*(f + 4)**2*(f + 349)/4
Let -2*v**3 + 1612*v**2 + 3230*v + 1616 = 0. What is v?
-1, 808
Determine f, given that 3*f**4 + 9*f**3 - 9*f**2 - 33*f - 18 = 0.
-3, -1, 2
Factor 16*l**5/7 - 4*l**4 + 8*l**3/7 + 4*l**2/7.
4*l**2*(l - 1)**2*(4*l + 1)/7
Find k such that 4*k**4 - 28*k**3 + 8*k**2 + 112*k - 96 = 0.
-2, 1, 2, 6
Find b, given that 2*b**3/13 - 404*b**2/13 + 402*b/13 = 0.
0, 1, 201
Factor 4*b**2/7 - 100*b/7.
4*b*(b - 25)/7
Suppose 4*z**4 + 384*z**3 + 13824*z**2 + 221184*z + 1327104 = 0. What is z?
-24
Determine t, given that -5*t**2 + 17875*t + 17880 = 0.
-1, 3576
Let -2*m**4 - 8*m**3 + 96*m**2 - 224*m + 160 = 0. What is m?
-10, 2
Suppose -p**5/4 + 43*p**4/4 - 41*p**3/2 - p**2/2 + 83*p/4 - 41/4 = 0. Calculate p.
-1, 1, 41
Let 3*y**4 - 84*y**3 - 87*y**2 = 0. Calculate y.
-1, 0, 29
Factor b**3/2 + 65*b**2/2.
b**2*(b + 65)/2
Let 12*k**3 + 148*k**2 + 288*k + 80 = 0. What is k?
-10, -2, -1/3
Determine x, given that 2*x**2/7 + 78*x/7 - 540/7 = 0.
-45, 6
Find a, given that -7*a**4 - 849*a**3 + 612*a**2 + 244*a = 0.
-122, -2/7, 0, 1
Find u such that -14*u**4/5 - 682*u**3/5 - 1708*u**2 - 5568*u/5 + 2304/5 = 0.
-24, -1, 2/7
Factor -108*k**2 + 2412*k - 13467.
-3*(6*k - 67)**2
Factor -a**4 - 13*a**3 - 33*a**2 - 31*a - 10.
-(a + 1)**3*(a + 10)
Let -l**5 + 2*l**3 - l = 0. Calculate l.
-1, 0, 1
Find f, given that 2*f**5 - 21*f**4 + 23*f**3 + 159*f**2 + 155*f + 42 = 0.
-1, -1/2, 6, 7
Determine a, given that 4*a**4 + 212*a**3 + 988*a**2 + 1356*a + 576 = 0.
-48, -3, -1
Determine a, given that -3*a**3/7 + 177*a**2/7 + 180*a/7 = 0.
-1, 0, 60
Factor 28*m**3 - 8*m**2 - 28*m + 8.
4*(m - 1)*(m + 1)*(7*m - 2)
Find p such that 6*p**5/5 - 12*p**4/5 - 24*p**3/5 + 48*p**2/5 = 0.
-2, 0, 2
Let -3*w**4 - 402*w**3 - 13863*w**2 - 26532*w - 13068 = 0. Calculate w.
-66, -1
Factor -a**3/4 + 4155*a**2/4 - 5754675*a/4 + 2656741625/4.
-(a - 1385)**3/4
Find m such that -405*m**5 + 7920*m**4 + 20995*m**3 + 17050*m**2 + 4820*m + 440 = 0.
-1, -2/9, 22
Find z such that -2*z**4/3 + 24*z**3 - 548*z**2/3 - 24*z + 550/3 = 0.
-1, 1, 11, 25
Factor -7*n**4 - 13*n**3 - 6*n**2.
-n**2*(n + 1)*(7*n + 6)
Solve 2*r**2/3 + 2662*r/3 - 5332/3 = 0.
-1333, 2
Solve -40*o**2 + 34*o + 6 = 0 for o.
-3/20, 1
Factor -2*i**5/5 + 16*i**4 - 874*i**3/5 + 1444*i**2/5.
-2*i**2*(i - 19)**2*(i - 2)/5
Solve 9*t**4 - 444*t**3 + 2724*t**2 + 2016*t = 0 for t.
-2/3, 0, 8, 42
Find r, given that 4*r**5 - 1008*r**4 - 3056*r**3 - 1032*r**2 + 3052*r + 2040 = 0.
-2, -1, 1, 255
Solve 3*l**3/2 + 255*l**2/2 - 528*l + 534 = 0.
-89, 2
Suppose 4*j**2/7 + 1696*j/7 + 179776/7 = 0. Calculate j.
-212
Solve 2*o**5/3 - 74*o**4/3 + 566*o**3/3 + 2162*o**2/3 + 2320*o/3 + 800/3 = 0 for o.
-1, 20
Factor s**3/6 - 2*s**2/3 - 2*s.
s*(s - 6)*(s + 2)/6
Let 2*t**4/3 - 4*t**3/3 - 2*t**2/3 + 4*t/3 = 0. Calculate t.
-1, 0, 1, 2
Find n, given that -n**2 + 76*n - 75 = 0.
1, 75
Factor 2*w**4 + 496*w**3 + 46128*w**2 + 1906624*w + 29552672.
2*(w + 62)**4
Determine r so that -2*r**3/11 - 8*r**2/11 - 10*r/11 - 4/11 = 0.
-2, -1
Factor -4*z**4 + 32*z**3 - 69*z**2 + 47*z - 10.
-(z - 5)*(z - 2)*(2*z - 1)**2
Factor p**3 - 670*p**2 - 2019*p.
p*(p - 673)*(p + 3)
Determine m so that m**4/9 - 35*m**3/3 + 2701*m**2/9 + 1007*m/3 - 5618/9 = 0.
-2, 1, 53
Let -4*l**4 - 376*l**3 - 8836*l**2 = 0. What is l?
-47, 0
Factor 15*n**3 + 3*n**2 - 12*n.
3*n*(n + 1)*(5*n - 4)
Find p such that 4*p**3 - 32*p**2 - 16*p + 128 = 0.
-2, 2, 8
Find v, given that 2*v**3 - 110*v**2 - 482*v + 590 = 0.
-5, 1, 59
Factor 49*f**4/4 + 5565*f**3/2 + 638353*f**2/4 + 179670*f + 51076.
(f + 113)**2*(7*f + 4)**2/4
Solve g**2/2 - 97*g/2 - 202 = 0.
-4, 101
Factor -6*p**3/5 - 173*p**2/5 - 1316*p/5 - 196.
-(p + 14)**2*(6*p + 5)/5
Find c, given that -2*c**3/7 - 36*c**2/7 + 146*c/7 + 60 = 0.
-21, -2, 5
Factor -5*q**3 + 80*q**2 - 205*q + 130.
-5*(q - 13)*(q - 2)*(q - 1)
Factor r**5/5 - 21*r**4/5 + 104*r**3/5 + 128*r**2/5 - 384*r + 3328/5.
(r - 13)*(r - 4)**3*(r + 4)/5
Let -3*j**5/2 - 5*j**4/4 + 19*j**3/4 + 3*j**2/4 - 13*j/4 + 1/2 = 0. Calculate j.
-2, -1, 1/6, 1
Determine y, given that 21*y**2 + 314*y/5 - 3/5 = 0.
-3, 1/105
Suppose 3*c**5/4 - 3*c**4/4 - 471*c**3/4 + 3*c**2/4 + 117*c = 0. What is c?
-12, -1, 0, 1, 13
Factor 8*y**3/5 + y**2/5 - 8*y/5 - 1/5.
(y - 1)*(y + 1)*(8*y + 1)/5
Factor 4*t**4 + 32*t**3 + 52*t**2 - 120*t - 288.
4*(t - 2)*(t + 3)**2*(t + 4)
Factor -2*w**3/9 + 10*w**2/9 + 32*w/3 - 56.
-2*(w - 6)**2*(w + 7)/9
What is j in -3*j**5 - 12*j**4 + 12*j**3 + 66*j**2 - 9*j - 54 = 0?
-3, -1, 1, 2
Solve 3*v**5 - 27*v**4 + 42*v**3 + 6*v**2 - 45*v + 21 = 0.
-1, 1, 7
Factor 2*p**5 + 14*p**4.
2*p**4*(p + 7)
What is b in -50*b**3 - 105*b**2 + 50*b = 0?
-5/2, 0, 2/5
Factor -4*l**3 + 24*l**2 + 124*l - 144.
-4*(l - 9)*(l - 1)*(l + 4)
Suppose -2*j**3 + 32*j**2 - 30*j = 0. Calculate j.
0, 1, 15
Solve -2*t**2 + 934*t - 4620 = 0 for t.
5, 462
Suppose -2*b**3/5 + 38*b**2/5 + 8*b/5 - 152/5 = 0. What is b?
-2, 2, 19
Factor 4*g**5/3 - 28*g**4/3 + 32*g**3/3 + 64*g**2/3.
4*g**2*(g - 4)**2*(g + 1)/3
Find g such that 5*g**3 - 20*g**2 - 220*g + 480 = 0.
-6, 2, 8
Factor 2*b**4/7 + 2516*b**3/7 + 150840*b**2 + 148173484*b/7 + 147120118/7.
2*(b + 1)*(b + 419)**3/7
Factor -t**4/3 - 3*t**3 + 12*t**2 + 256*t/3 - 256.
-(t - 4)*(t - 3)*(t + 8)**2/3
Factor 3*s**2/7 + 17*s - 40/7.
(s + 40)*(3*s - 1)/7
Find x, given that 4*x**4/3 + 20*x**3/3 - 24*x**2 - 512*x/3 - 640/3 = 0.
-4, -2, 5
Suppose m**2 + 506*m = 0. Calculate m.
-506, 0
Find h, given that -10*h**2 + 865*h - 430 = 0.
1/2, 86
Solve -2*y**3 + 4*y**2 + 6*y = 0.
-1, 0, 3
Suppose -v**2 - 464*v - 53824 = 0. What is v?
-232
Let 16*h**5 + 2612*h**4 + 121852*h**3 + 1200300*h**2 + 292500*h = 0. What is h?
-75, -13, -1/4, 0
Solve 156*u**2 + 477*u + 27 = 0.
-3, -3/52
Factor -a**2 - 281*a - 558.
-(a + 2)*(a + 279)
Determine v so that v**4/2 - v**3/2 - 13*v**2 + 42*v - 36 = 0.
-6, 2, 3
Solve -l**2/4 + 1483*l/2 - 2199289/4 = 0.
1483
Solve 12*r**5/7 - 684*r**4/7 + 8235*r**3/7 + 44652*r**2/7 = 0.
-4, 0, 61/2
Determine t, given that 27*t**4 + 2880*t**3 + 115200*t**2 + 2048000*t + 40960000/3 = 0.
-80/3
Suppose -529*b**2/2 + 138*b - 18 = 0. What is b?
6/23
Factor j**4 + 47*j**3 - 489*j**2 + 865*j + 1400.
(j - 5)**2*(j + 1)*(j + 56)
Factor b**2/3 - 14*b/3 + 11.
(b - 11)*(b - 3)/3
Suppose -125*g**4 + 8525*g**3 - 1620*g**2 - 5420*g - 1360 = 0. What is g?
-2/5, 1, 68
Suppose -5*v**4 + 15*v**3 + 140*v**2 = 0. What is v?
-4, 0, 7
Find j such that -2*j**4 - 14*j**3 + 138*j**2 - 234*j = 0.
-13, 0, 3
Let 3*b**4 - 33*b**3 + 78*b**2 - 48*b = 0. What is b?
0, 1, 2, 8
Factor 3*g**3 - 72*g**2 + 252*g - 240.
3*(g - 20)*(g - 2)**2
What is y in -y**4/5 + 11*y**3/5 - 42*y**2/5 + 68*y/5 - 8 = 0?
2, 5
Solve a**5 - 26*a**4 - 55*a**3 - 28*a**2 = 0.
-1, 0, 2 | {
"pile_set_name": "DM Mathematics"
} |
ich is the closest to f? (a) 9 (b) 3/4 (c) t
b
Let f = 0.03 - 0.364. Let m = f + 0.434. What is the nearest to -1/64 in 5, 4, m, 0.3?
m
Let f = -351 + 285.4. Let a = -59 - f. Let q = 6.3 - a. What is the closest to -1 in 2/13, -2/5, q?
-2/5
Let h be 8454/14*(-59)/177. Let b = h - -201. What is the nearest to b in 0, 1/3, 0.5, -2/73?
-2/73
Let g = -4761 + 4766.171. Let k = g - 0.171. Which is the closest to 2/37? (a) 1/8 (b) k (c) 0 (d) 2/3
c
Let i = -0.1 - -0.1. Let n = 86.3 - 86. Let d = 117 + -117.5. Which is the closest to i? (a) -10 (b) n (c) d
b
Let r be -4 - (3 - (-56)/(-12)). Let d = r + 5/6. Let a = 94 + -95. What is the closest to a in 2/7, -5, d?
d
Let m = -2.05 + 0.05. Let b = -2.1 - m. Let p be (-6)/(-39) + 28/156. What is the closest to 1/2 in b, 2, p?
p
Let k = 304.4 - 1.4. Let l = -304 + k. What is the closest to 2/3 in -31, l, 0.4?
0.4
Let c(a) = -a**3 - 9*a**2 + 10*a + 5. Let w be c(-10). Let z = 0 - -2. Let j = 21773 - 21769. What is the closest to w in z, -3, j?
j
Let o = 2144 - 2141. Which is the closest to o? (a) 89 (b) 4 (c) 0.4
b
Suppose 8 = 2*f - 0*f - 2*s, 2*s + 14 = 4*f. Let a be 3/f - 11/6. Let r = -0.2 - -0.1. What is the nearest to r in -0.2, 3, a?
-0.2
Let u = -5 + 1. Let o = u + -1. Let t = 0.089366 - 0.089366. What is the closest to -2 in t, o, -3?
-3
Let w = 1.222 - 1.222. What is the closest to 5 in w, -14, -0.1, 4?
4
Let q = 1039/780 - 16/195. What is the nearest to 1 in 1/5, q, 1.6?
q
Let r = -2 - -2. Let h = -1471.4 + 1476.4. Which is the closest to -11? (a) r (b) h (c) -1/3
c
Let m = -10893/2 + 5447. Let o = -0.1 - -0.5. Which is the nearest to 5? (a) m (b) o (c) 0
a
Suppose 4*y + 10 = -2*t, 0 = 38*t - 35*t + 3*y + 6. Let x = -7 + 10. Let g = -18 + 9. Which is the nearest to -2/3? (a) g (b) x (c) t
c
Let i = -32.923 - 0.077. Let r = i - -30. Which is the nearest to 1? (a) r (b) -0.6 (c) -0.2 (d) -1/4
c
Suppose 2*q + 39 = b - 171, -3*q - 4*b = 315. Let x = -30.292 + 29.992. What is the closest to 1/2 in q, x, -0.4?
x
Let t = -12115 + 12120. Which is the closest to -10? (a) 10 (b) t (c) -6
c
Let d = -10/167 + -1246/1503. What is the nearest to 5 in -3, d, 4?
4
Let o = -1719 + 1770. Which is the nearest to o? (a) 1/10 (b) 3 (c) 1/2
b
Let q be (-3 + 11)*12/24. What is the nearest to 106 in -4, 1, q, 2?
q
Let q = -30151 + 30154. What is the closest to 0.2 in -0.2, -5, -3, q?
-0.2
Let i = 10483 + -10491. Which is the closest to 0.1? (a) 5 (b) i (c) 2/5 (d) -4/5
c
Let w = 7662 - 7661.801. What is the nearest to 0.2 in 0.1, w, 2, -3/7?
w
Suppose -64 = 3*u - 5*x, -44 = 2*u - 0*x - 4*x. Let t be (-10)/u*(-2)/20. Which is the closest to -1? (a) -5 (b) t (c) -3/4
c
Let m = -67 - -65. Let h = -12.12 - -10.12. Which is the nearest to m? (a) h (b) -13 (c) 2 (d) 5
a
Suppose -l + 3*i = 2, 5*l - i = -5*i - 29. Let j = 7 - 2. Which is the nearest to -0.2? (a) l (b) j (c) 2 (d) -2
d
Let g = 526 - 1579/3. Which is the closest to g? (a) -1 (b) -16 (c) 0
c
Let a be (2/4)/((0 + -7)/(-42)). What is the nearest to -3 in -21, a, 2/5, 2/13?
2/13
Suppose -16*v + 11*v = 505. Let w = v + 504/5. What is the closest to 0 in 0.5, w, 0.02?
0.02
Let t = 22286 + -22524. What is the closest to -0.2 in t, 0.2, -0.3?
-0.3
Suppose -4*g + 132 = -3*z - 2*z, 2*z + 3*g + 39 = 0. Let f be (3/(-12))/((-36)/z). What is the nearest to 2 in f, 1, 1/9?
1
Let j = -169 - -166.8. Let v = 12.2 + j. Which is the closest to v? (a) -5 (b) -1 (c) 2
c
Let z = 692 - 689. Which is the closest to -5/6? (a) z (b) -8 (c) -0.4
c
Let v(o) = o**2 + 30*o - 779. Let h be v(19). Let t = 152350/7 - 21916. Let q = h + t. Which is the closest to 0.1? (a) q (b) 1/5 (c) -1
b
Let k = -23/33 + 59/132. Let u = 4.8 + -5.8. Which is the closest to u? (a) 7.5 (b) 3/4 (c) k
c
Suppose -2*r - 3*r = -20. Let j = -5729 + 5728.5. What is the closest to 1 in j, r, 11?
j
Let z(g) = -g**3 + 4*g**2 + 24*g + 19. Let y be z(8). Let x be (5 - y/(-10))*-8. Which is the closest to -4? (a) x (b) 2/11 (c) -4/9 (d) 1
a
Let s be ((-6)/105)/(142/(-1065)). What is the closest to -10 in s, -0.4, 0.031?
-0.4
Let u be (-2)/(-4)*((-40)/(-30) + (-8)/12). Let s = 0.3 + -0.1. Let y = s + -0.4. What is the nearest to 2 in u, 0, y?
u
Let c be (-1)/9*-3 + 0. Let y = -2364 - -2362. What is the closest to c in -3, -6, y?
y
Let k = -1689.95 + -23.05. Let x = k - -1713.1. Let n = -1 - -7. Which is the closest to x? (a) n (b) 1/2 (c) 2/17
c
Let c be 14/(-8)*12/56. Let x(h) = -2*h - 2. Let t be x(-2). Let l be (-575)/(-250) + (44/(-8) - -3). What is the closest to l in c, t, -0.3?
-0.3
Let c be (2 + -4)/(2 + -8). Let x = -32660.8 + 32661. What is the nearest to 0 in 3, x, c?
x
Let g = 3 - 3.5. Let d = -182.05 - 1.95. Let i = d + 183. What is the nearest to i in 2, 0, g?
g
Let f = -3667 - -3672. Which is the closest to -1? (a) -21 (b) -5 (c) -1/3 (d) f
c
Let f(o) = -o**3 - 31*o**2 - 153*o - 21. Let p be f(-6). Which is the closest to 0? (a) 1/3 (b) p (c) 0.4 (d) -0.2
d
Let g be (-8)/(-28)*22 + -35 + 29. Let q = 6 - 6.4. Let j = 1.4 + q. What is the closest to g in -0.5, 4, j?
j
Let p = -9599/3 + 3200. What is the closest to p in 4, 5, 2, -1/5?
-1/5
Let n = -7/15 + 4/5. Let f = 159 + -159.1. Which is the closest to f? (a) 5/23 (b) 2/5 (c) n
a
Let n = 3.19 - 5.89. Let m be 1*2 + (-28)/12. Let k = 183 + -548/3. Which is the closest to k? (a) m (b) 0 (c) n
b
Let j = -0.6 - -0.1. Let l = -30622/53613 + -2/7659. What is the closest to l in 0.3, j, -0.04?
j
Let s = -1.364 + 3.064. What is the closest to 2 in -0.03, -4/7, s, -0.3?
s
Let p = 1592.4 + -1592. What is the closest to -52 in p, 4, 3, 5?
p
Let h = 16773 + -16772.5. What is the closest to 0 in h, -9/13, -6/11?
h
Let l(s) = -s**3 + 2*s**2 - s. Let z be l(2). Let k be (-12166)/3792 + 10/3. Let g = 0.3 + -0.2. Which is the nearest to 2/3? (a) g (b) z (c) k
c
Let l = -579 + 799. Let h = 222 - l. What is the nearest to -0.3 in 2/11, h, 0.11, -4?
0.11
Suppose -5*x = 712*k - 714*k + 31, 3*k - x = 14. What is the nearest to 2/3 in k, -47, -1/3, 2/3?
2/3
Let v be ((-64)/720 - (-4)/18) + 14/(-30). What is the nearest to v in -3, -51, 0.4?
0.4
Suppose -3*s + 3*u - 801 = -5*s, 2*u - 1582 = -4*s. Let w = -3141/8 + s. What is the nearest to 0 in -3, 1/3, w, 4?
1/3
Let p = 15.4 + -15. Suppose 13 = -2*h - 77. Let j = h + 179/4. What is the nearest to -0.3 in p, 5, j?
j
Let s be (-8)/76 + (-112536)/(-26163). Let r = -77/17 + s. Let n = -1 + 1.1. Which is the nearest to r? (a) 2 (b) -4 (c) n
c
Let y = 0 + 0. Let q(f) = -f**3 + 37*f**2 + 256*f - 18. Let o be q(-6). Which is the nearest to 6? (a) -5 (b) 2 (c) o (d) y
b
Let b = 764.9 + -706. Let c = -52.9 + b. Suppose 2*u - q = 2*q + 14, -5*u + 1 = q. What is the nearest to -4 in -0.2, u, c?
-0.2
Let n = 426 - 424. Suppose -n = -55*h - 2. What is the nearest to h in 0, -0.05, 5, -2?
0
Let u be 30/(-4)*(-396)/(-1980). Which is the closest to 0.16? (a) 9 (b) u (c) -1
c
Let t(a) = -4*a**2 - a - 4. Let i be t(-8). Let v = i - -647/3. Let s = v - -37. What is the nearest to -1 in 3/5, s, -1/4?
-1/4
Let l = -2.54 - -2.8. Let o = l - -0.04. Let w = 2054 + -2056. Which is the nearest to -1? (a) -1/2 (b) w (c) o
a
Let i be -1*3/((-6)/(-4)). Suppose 3*m + 3*s - 798 = 0, -m = 2*s - 195 - 71. Let z = m - 805/3. What is the closest to z in i, -3, 0.2?
i
Let t be ((-57)/1596)/((-2)/(-16)). Let a = 2103/11 - 191. What is the nearest to 1.9 in t, a, -1/4?
a
Let u = 20896 - 20895. Which is the nearest to u? (a) -277 (b) -17 (c) -2/3 (d) 1
d
Let t = 9.655 + -1.238. Let m = -0.017 + t. Let f = -8.3 + m. What is the closest to -3/4 in f, 3, 2/15?
f
Let d = 40.3 + -40. Let u = 942.9 + -983. Let i = 40 + u. What is the closest to i in -4/3, d, 0?
0
Let s = -8.1 - -8.78. Let g = s + -1.18. Let d = 43/111 - 2/37. What is the nearest to -0.2 in 1, d, g?
g
Let x = 4.008 - 18.008. What is the closest to x in 3, -2/23, 5?
-2/23
Let u = 0.005 + -22.005. Let m = 41 - u. Let h = m - 65. Which is the nearest to 0.4? (a) h (b) 2/5 (c) -0.3
b
Let t = 1.55 - -53.45. Let r = t - 54.9. Which is the closest to 0.1? (a) 0.5 (b) r (c) 2 (d) 0.03
b
Let r be (-4)/(-6) + (-2740)/(-12). Let v = r + -1605/7. Suppose 2*o = -3*q + 7, 3*q = 2*o + q + 8. Which is the nearest to | {
"pile_set_name": "DM Mathematics"
} |
positive.
n**(-5480/9)
Simplify (g*g/(g/g**(1/10))*g**(-3)*g*(g/(g/g**(2/27)*g))/(g*g*g*g/(g*g**(-3/11)*g)*g*g*g*g))**(-1/2) assuming g is positive.
g**(24053/5940)
Simplify ((r**4/r)**24/(r*(r*r**(6/5))/r*r)**(-36))**26 assuming r is positive.
r**(24336/5)
Simplify (r/(r*(r/(r*r/(r/(r**(9/11)*r))))/r))**(-30)*r**40*r*r*r/(r/r**(-20))*r assuming r is positive.
r**(-677/11)
Simplify k**6*k*k/((k/(k/k**(-12)))/k)*k**(-2/9)*k/(k*((((k*k**(4/7))/k)/k)/k)/k*k) assuming k is positive.
k**(1399/63)
Simplify a*a/(a**(-4/11)/a)*(a/((a/(a/(a*a**(-44))))/a))/a*((a/a**(-16))/a*a)**43 assuming a is positive.
a**(8562/11)
Simplify ((z**(-10))**(-5)*(z/(z/z**(-7)))**(-2/75))**(-21/5) assuming z is positive.
z**(-26348/125)
Simplify (((o/(o/o**33)*o**16)**(27/4))**(-15))**(-10) assuming o is positive.
o**(99225/2)
Simplify (((t*t**(8/3))/t**(-2/9))/(t*(t*t*t**7)/t*t)**10)**(-47) assuming t is positive.
t**(40655/9)
Simplify ((((x/(x*x**0)*x)/x)**(2/33)*(x/(x/x**(5/4)))/(x/(x*x*x**(-4/7))))**(-1/50))**(9/4) assuming x is positive.
x**(-423/5600)
Simplify (v/v**(-2/3))**(-22)*v**5*v**3*(v**3*v*v**(-3))**(-18/13) assuming v is positive.
v**(-1172/39)
Simplify ((l**(-1/4))**(-2/71))**6*((l*l**(-1/3))/l**(-1/6))**(-35) assuming l is positive.
l**(-12407/426)
Simplify (x/(x*x**(1/7))*x**(-8)*x)**(-2/129)/(((x*x/(x*(x**(-2/5)*x)/x*x*x)*x)/x)**(-32)*x**(2/5)*x**(-2)) assuming x is positive.
x**(-78964/4515)
Simplify (d**1/d**2)/(d**(-7)/(d*d**(4/5)/d*d*d))*(d**(-7)*d)/d**4*(d*(d/((d**2/d)/d)*d)/d*d)/(d*d/(d/(d*d**0))) assuming d is positive.
d**(-1/5)
Simplify s**1/((s**6*s)/s)*((s/s**(-1))/s)**(2/13)*(s**(-1))**(-13)*(s/(s**(-1/9)/s))/s*s**(-3/7) assuming s is positive.
s**(7237/819)
Simplify ((((d/((d/(d**(-30)/d))/d)*d)/d)**(-26))**(2/67))**(-36) assuming d is positive.
d**(-56160/67)
Simplify (((s*s/s**(-9))/s*s*s**(-2/25))/(s*(s*s*s/((s*s**(2/3))/s)*s)/s*s*s*s**(1/6)))**(3/29) assuming s is positive.
s**(813/1450)
Simplify (((n*(n/(n/((n/n**(4/5))/n))*n*n)/n*n)/(n*((n/(((n*n**(-20))/n*n)/n)*n)/n)/n))**(-2/149))**(-11/9) assuming n is positive.
n**(-2068/6705)
Simplify (((s*s**(-5/4)*s)/s)**(-44)*(s*s*((((s/(s/s**15*s))/s*s)/s)/s)/s*s)/(s**0/s))**(-11/7) assuming s is positive.
s**(-286/7)
Simplify ((z/(z**(-1)*z)*z)/z*(z**(-2)*z)/z)**(-1/58)*(z**(2/7))**40/(z**(1/3))**(-1/2) assuming z is positive.
z**(7072/609)
Simplify (b**(-2)*b*b*b*(b**(-1/39)/b)/b*b**(1/2)/b**(21/2))**(1/5) assuming b is positive.
b**(-86/39)
Simplify ((f*f*f*f*f**(-4)*f)/((f**(-4)/f)/f))**(2/59)*f**(3/2)*f**(-7)*f*f**2*f**2*f assuming f is positive.
f**(87/118)
Simplify ((l*l/(l*l*l/(l/l**(-9))*l*l))/(l*l**(-8))*l*l**(2/9)*l*(l*l*l*l/l**4*l)/l)**11 assuming l is positive.
l**(1606/9)
Simplify (d**(2/9))**(-40)*d/d**(-4)*d*d/(d**2*d)*d*(d/((d/((d/(d/(d/(d/d**(1/3))))*d)/d))/d))**27/((d**3/d)/d*d**3) assuming d is positive.
d**(253/9)
Simplify s*(s*s/(s/s**0*s*s)*s*s)/s*(s*s/(s/s**(1/5)))/s*(s**(-1))**36*((s**(-7)/s*s)/s*(s/s**9)/s)**31 assuming s is positive.
s**(-2809/5)
Simplify (((b*b*b*b**(2/29)*b)/(b**(1/11)/b))**(-48))**(-7) assuming b is positive.
b**(533568/319)
Simplify ((x**4*x)**(-1/15)*(x**(-1/3)/x)**(-33))**25 assuming x is positive.
x**(3275/3)
Simplify ((o*o**(-6/11))**(41/5)*o*((o*o**(-1/12))/o)/o*o*o/o**(7/5))**(-4/5) assuming o is positive.
o**(-2801/825)
Simplify (w*w**(-28/5)*w*w*w/(w*w/(w**(-21/2)/w)))/((w/((w/(w*w**27*w*w))/w))/((w**(-34)/w)/w)) assuming w is positive.
w**(-821/10)
Simplify ((v**14)**(-1/19)*(v/(v/v**(-1/11)))/v**(-3/26))**23 assuming v is positive.
v**(-89033/5434)
Simplify (((l*l**(-2/5))/l)/(l/(l*l**6*l*l)*l))**(2/29)*((l*l*l/l**(-2/7)*l*l)**(2/7))**(-2/19) assuming l is positive.
l**(39986/134995)
Simplify (((h**(1/6))**47/((h/(h/h**(-3/8)))/(h*h**(-8)*h)))**(-14))**(-3/26) assuming h is positive.
h**(371/104)
Simplify (p*p*p**(7/4))/p**(-5/4)*p**(-30)*p**(-8/3) assuming p is positive.
p**(-83/3)
Simplify ((((n/(n*n/(n/n**(3/4))))/n)/n**(3/10))/(n*n**3*n*n**(-3)))/((n**(1/5)/(n/(n*n/(n*n**3)*n)))/(n**(-2)*n*n*(n/n**(-3))/n)) assuming n is positive.
n**(3/4)
Simplify ((f/(f*(f**(-1/4)*f)/f*f))**(-3/8)*(f*f**(2/3)/f)/(f**(3/8)/f))/(f*f**(-7/3)*f*f/(f/f**(-3/7))*f**7/f**(-2/3)) assuming f is positive.
f**(-3583/672)
Simplify (k/k**9*k*(k*k/(k/((k*((k/((k*k/((k**(-7)/k)/k)*k)/k))/k*k)/k*k)/k*k)))/k*(k**(-2/7))**(-16))**(-20) assuming k is positive.
k**(1600/7)
Simplify ((z**(-2/9)/z)/z**(1/7)*(z*z**1)**38)/(((z*z*z/(z*z**(-1/3)))/z)**(7/4)/(z**(1/4)/z**(1/3))) assuming z is positive.
z**(18199/252)
Simplify o**(3/8)/(o*o*o**18*o)*o*o**(2/3)/o*o*(o**29*o)/o assuming o is positive.
o**(241/24)
Simplify (p**0*p**(-5))**(-7/4)*(((p**(-1)/p)/p)/p**(-6/7))/(p/(p*p*p**(-1/4)/p))**0 assuming p is positive.
p**(185/28)
Simplify ((x**16)**(-50)*x**17*x/x**15)**2 assuming x is positive.
x**(-1594)
Simplify (r**8)**(-13)/(((r*r**26)/r*r)/(r**(-7)*r)) assuming r is positive.
r**(-137)
Simplify (((p/p**41)/p)/p*p*((p/(p/(p/p**(-31))))/p)/p*(p*p**(-23/3)*p)/p**(-3/2))**(6/5) assuming p is positive.
p**(-91/5)
Simplify ((m**(-2)/m)/(m/(m/((m/(m**(-2/9)/m)*m*m)/m))))**(-5/2)/((m**1*m)**4*(((m*m**(1/9))/m)/m)/(m/((m*m**(-1/4))/m))) assuming m is positive.
m**(349/36)
Simplify ((k**(2/23))**(6/23)*k/(k**6/k)*k**12)**(-9/10) assuming k is positive.
k**(-19098/2645)
Simplify (l**0)**(-2/81)/(l**(2/5)*l*l**(-2/7))*(l**(-3/2)*(l**(1/2)/l)/l)/(l**2/(l**(5/3)*l)) assuming l is positive.
l**(-362/105)
Simplify (t**(-1))**(-18/13)*(t**(-1))**(-24)*t**(-5)*t**0*(t*t*t**0/t*t)**49 assuming t is positive.
t**(1539/13)
Simplify ((((k**(-8/7))**(-5/3))**(-1/5))**41)**(-50) assuming k is positive.
k**(16400/21)
Simplify ((t**(2/3))**(23/3)*(t*t**(-1/3)/t)**21)/(t*t/((t*t*(t*t**4/t*t)/t)/t*t)*t/(t/(t*t*t**(2/17)*t))*t*(t**(1/2))**(-1/31)) assuming t is positive.
t**(-18881/9486)
Simplify ((b**3)**(2/97)*b**(-14)*b*b*b**(-2/45))**(-2/23) assuming b is positive.
b**(104608/100395)
Simplify ((i**5/(i/(i*i**(1/3)*i)*i))/(i*i**(1/2)*i*i*i**(-1/4)/i))/((i**(-2/3))**19/((i**6/i)/i**6)) assuming i is positive.
i**(59/4)
Simplify (x*x/(x*x/(x*x**(2/5)))*x*x*(x*x**(-4))/x)/(x**0)**(-1/49)*(x/(x**(-1/3)/x)*x*x*x**(-4))/((x*x/x**(-2/31))/x**(-9)) assuming x is positive.
x**(-5269/465)
Simplify (n*n/n**35*n*n**35*n**(2/47)*n**(-2/11))**(-39) assuming n is positive.
n**(-57681/517)
Simplify (((i/i**(-1/7)*i**1)/(i**(2/9)*i**(1/8)))**(-39))**(-18) assuming i is positive.
i**(35295/28)
Simplify (y*y*y**(-33/7)*y)/((((y**8/y)/y)/y)/y)*y**(-1/18)*y*y**(-7/5) assuming y is positive.
y**(-3887/630)
Simplify (w/(w/w**(-1/4)))**(-12/7)/(w**(-5/4)/w**(-2/7))*(w**(2/5)*w)**(-38)/(w**(-1)/w*w**(2/7)) assuming w is positive.
w**(-7013/140)
Simplify (v**(-2/7)/(v/v**(-1/8)))**49/(((v**(-1/5)*v)/v)/(v*v**(-3))*v**(-6)/v**8) assuming v is positive.
v**(-2277/40)
Simplify (u**(-15)*u/u**(-13)*u*u/u**(1/3)*u*u*u*u**14)**(-4) assuming u is positive.
u**(-212/3)
Simplify (n*n**(-9)*n*n*n*n*n)**(-19)*n/(n/(n/((n*n*n*n/(n/(n*n*(n*n**6*n)/n*n)))/n)))*n*n*n*n*n**43 assuming n is positive.
n**93
Simplify ((f*f*(f*f**2)/f*(f*f**(2/21))/f)/((f**(4/11)*f)/f)**(-22))**45 assuming f is positive.
f**(3810/7)
Simplify (b**(-2/7)*b**(-5))**(-10)/(((b**(2/3)/b*b)/b)**36)**(-50) assuming b is positive.
b**(-3830/7)
Simplify (q*q**13/q*q**(-6/11)*(q/q**(-2))**(-22/9))**(-39) assuming q is positive.
q**(-2197/11)
Simplify (m*m/(m**(3/4)*m)*m*m**(5/8)*(m**(-1/6)/m)**42)**(1/78) assuming m is positive.
m**(-29/48)
Simplify ((x**(-2))**13)**(-1/22)*((x/x**6)/(x/(x/x**(-6))))/(x**1)**(2/51) assuming x is positive.
x**(1202/561)
Simplify (s**(5/2))**25/(s**1)**28 assuming s is positive.
s**(69/2)
Simplify o**17*o**(-2/19)*o/((o*o**(10/9))/o)*o*o/((o/((o*o**(-6/13))/o)*o)/o)*o assuming o is positive.
o**(40730/2223)
Simplify (((b*(b*b**12)/b)/(b**4*b*b*b))/((b/(b/(b*b/(b/b**(2/3)*b))))/b)**(-7/9))**(4/7) assuming b is positive.
b**(620/189)
Simplify ((d**(-1/2))**(-1/23)*d**(-3/7)*d**(2/5))/(((d/d**(-7))/(d**(-4/5)/d))/(d/d**(-2/23)*d*d*d/d**(-1))) assuming d is positive.
d**(-7599/1610)
Simplify (y**(-10)*y/(y/y**(-8)*y)*y*y*y**(-5)*y**(-7))**(1/25) assuming y is positive.
y**(-29/25)
Simplify (s**(2/57)*s)**(-33)/((s/(s**(-13)/s))/(s*s*s**19*s)) assuming s is positive.
s**(-516/19)
Simplify (a**(-2/7)/(a/(a*(a/(a**2*a))/a)))/((a**(-2 | {
"pile_set_name": "DM Mathematics"
} |
- 4*s**2 - 48*s - 82. Let x be u(-2). Let b = -4 + 9. Suppose 53 = v + 3*v + b*l, -x = 2*l. Is v a multiple of 2?
False
Suppose 5 - 17 = 4*q. Let i(u) = -7*u**3 + u**2 - 7*u + 1. Let d(l) = 2*l**3. Let j(k) = 4*d(k) + i(k). Does 4 divide j(q)?
True
Let i(k) = 97*k**3 - 17*k**2 + 11. Does 33 divide i(4)?
False
Is 3/((-63)/12) + 108628/(-910)*-190 a multiple of 21?
True
Let h(i) = 2*i**2 - 13*i - 3. Let p be h(7). Suppose 14*n = 13*n + p. Suppose -u - 5*m = -4*u + 313, 0 = n*m + 8. Does 9 divide u?
False
Let i(z) be the third derivative of -1/6*z**4 + 0 + 1/60*z**5 + 1/2*z**3 + 6*z**2 + 0*z + 97/120*z**6. Is i(1) a multiple of 26?
False
Let p = 317 + -304. Suppose -5*c + 1365 = -0*j + 5*j, -4*c = j - 288. Suppose p*z - 9*z = j. Does 16 divide z?
False
Suppose 4*h + 166 = -2*v + 8*h, -5*v = -2*h + 407. Let l = v + 16. Let m = 135 + l. Is 5 a factor of m?
True
Let c = 26 + -24. Suppose c*o - 18 = -o. Is o*5/(-10) + 75 a multiple of 12?
True
Let z be 10 + ((-996)/204 - 8/68). Let h = -1 - -4. Suppose 4*p = -a + 100, -z*p + h*a + 116 = 2*a. Is 8 a factor of p?
True
Suppose 3*a - 2*k = -185, 2*a + 115 = 4*k - 3. Is (3 + a)*84/(-35) a multiple of 39?
False
Suppose 14038 - 246814 = -26*x - 27*x. Is 3 a factor of x?
True
Suppose 15 = -3*j, -22 = -5*z + 3*j - 52. Does 21 divide (-19*2/(-6))/(z/(-189))?
False
Let h = 373 + -372. Does 25 divide (-5*h)/(-9 + 1568/175)?
True
Suppose -80*g - 20064 = -476784. Does 11 divide g?
True
Suppose -53*a + 55*a + 20 = 0. Is 2 a factor of 13/((-13)/a) + -5?
False
Let z(s) = -2*s**3 - 22*s**2 + 20*s + 18. Let j(h) = 4*h**3 + 44*h**2 - 41*h - 34. Let w(i) = -4*j(i) - 9*z(i). Does 8 divide w(-11)?
False
Let q be (-1080)/(-4)*(-22)/(-4). Let x be (-15)/20 - (q/(-12) - 0). Let c = x - 23. Is c a multiple of 7?
False
Let i = 2838 - 2179. Does 4 divide i?
False
Let i(n) = -5*n**2 - 70*n - 10. Let c(p) = 4*p**2 + 69*p + 12. Let z(a) = 7*c(a) + 6*i(a). Is z(15) a multiple of 20?
False
Suppose 2*q - 16*d = -15*d + 11056, -q + 4*d + 5514 = 0. Does 14 divide q?
True
Is 21 a factor of (-4)/4*-1193 + 4?
True
Let u(p) = 184 - 20*p - 247 + 5*p. Does 12 divide u(-19)?
False
Suppose -8*p + 6643 = -8845. Suppose -p = -4*v + 4*n, -7*v = -4*v - 5*n - 1462. Is v a multiple of 21?
False
Suppose 3*i = -2*u + 22302, 4*i - 61*u = -58*u + 29787. Is i a multiple of 60?
True
Suppose -4*f = 4*d, -4*d - f - 4*f + 3 = 0. Does 4 divide (28/7)/((-6)/144*d)?
True
Suppose 0 = -29*i - 37*i + 144474. Is 5 a factor of i?
False
Let u = -9154 - -10148. Is 41 a factor of u?
False
Suppose -88*y = -89*y - 719. Let r = -168 - y. Does 10 divide r?
False
Let i(y) = -3*y**2 - 10*y + 27. Suppose 0 = -4*d - 4*u - 20, -4*d + 2*u - 16 = 7*u. Let k be i(d). Is 13 a factor of (k/35 + 4)/((-2)/(-130))?
True
Let i(o) = 16*o + 17. Let v(a) = -16*a - 17. Let u(t) = 4*i(t) + 5*v(t). Let k be u(-12). Suppose 4*p = -63 + k. Does 28 divide p?
True
Let c = 133 + -130. Suppose 0 = -c*s - 3, -4*t = -4*s - 16 - 1088. Is t a multiple of 11?
True
Suppose -19*n + 8*n = 2*n - 357968. Does 38 divide n?
False
Suppose 0*k - 4*k + 4*j + 7184 = 0, -5*j + 3557 = 2*k. Suppose 651 = 22*x - k. Is x a multiple of 6?
False
Let r(z) = 4*z**3 - 37*z**2 - 24*z + 43. Let x(l) = l**3 - 9*l**2 - 6*l + 11. Let h = 5 - 3. Let o(w) = h*r(w) - 9*x(w). Is 15 a factor of o(7)?
False
Let f be (24/18)/((-1)/((-30)/4)). Let w be 4/f - 24/10. Is 5 a factor of (16/(-1))/(w/3)?
False
Let p = -18 - -27. Suppose p*m = 3013 + 3314. Is 36 a factor of m?
False
Suppose -5*w + 47 = 157. Let g = w + -27. Let m = 86 - g. Does 17 divide m?
False
Let f = -539 - -555. Suppose -f*a + 18*a = 1160. Is a a multiple of 71?
False
Let v(a) = 12*a**3 - 21*a**2 + 72*a + 9. Is v(8) a multiple of 15?
True
Suppose -1082991 - 608334 = -130*g - 125995. Is g a multiple of 13?
False
Suppose -29*d - 28 = -31*d. Is 2412/d + (-34)/119 a multiple of 13?
False
Suppose 17*c - 3284 = 18323. Is 2 a factor of c?
False
Let k be (-4)/(-4) - (-45 - -3). Let g = k - 71. Let m = 168 + g. Does 35 divide m?
True
Suppose 120120 = 43*u + 61*u. Does 55 divide u?
True
Suppose 2*l + 4*l - 18 = 0. Suppose -l*j + 119 = -58. Is j a multiple of 31?
False
Let l = 74 - 80. Does 61 divide (1 - 11/2)*1384/l?
False
Let w = 5756 - -1157. Does 28 divide w?
False
Suppose -s = 4*d - 53118, -66396 = 7*d - 12*d - 2*s. Is 32 a factor of d?
True
Let k = 136 - 134. Is 24 a factor of k/7 + (-985)/(-7)?
False
Let n(j) be the first derivative of -2*j**3/3 + 15*j**2 - 16. Let x be n(15). Suppose x = -6*h + 65 + 25. Is 3 a factor of h?
True
Let w = -626 - -1781. Suppose 30*g + w = 4005. Does 10 divide g?
False
Let f = 619 + 1217. Suppose -1806 = -6*b + f. Is 9 a factor of b?
False
Let d = -19152 + 36858. Is 6 a factor of d?
True
Suppose 1232 - 2168 = -12*q. Does 9 divide q?
False
Let m(b) = 100*b**2 - 27*b + 10. Is 6 a factor of m(4)?
False
Let u = 4756 + -5403. Suppose n - 150 = 6*n. Is u/(-5) - (-12)/n a multiple of 43?
True
Suppose 3*w = -2*b + 432, w - 91 = -2*b + 49. Let v = w + 234. Is v a multiple of 20?
True
Let f be ((-561)/22)/17*(-712)/1. Suppose 284*l + f = 290*l. Does 9 divide l?
False
Let o(u) = 85*u**2 + 61*u**3 + 4 + 2*u - 90*u**2 - 5*u. Is o(2) a multiple of 34?
False
Let n be 0 - (1352/(-20) - 6/(-10)). Let u = n - 64. Does 22 divide (-2)/(-6) - (-329)/u?
True
Let q = 37485 - 26708. Is 32 a factor of q?
False
Let t be ((-6)/8)/(-3) + (-223934)/(-8). Let k be (-4)/(-14) - t/(-28). Suppose 6*m - k = -4*m. Does 20 divide m?
True
Let n(h) = 3*h**2 - 5*h - 30. Let r be n(-8). Let c = r + -130. Is 4 a factor of c?
True
Let g(f) = f**2 + f - 5. Let n be g(-3). Let r = 56 - n. Let m = r - 2. Is 23 a factor of m?
False
Is (-2534885)/(-114) - 3/(-36)*(-1 + 3) a multiple of 51?
True
Let q(p) = -262*p + 61. Let l be q(7). Let r = -978 - l. Does 59 divide r?
False
Suppose -52*p - 1855471 - 257969 = -120*p. Is 10 a factor of p?
True
Let s(o) = -8*o**3 - 3*o**2 + 12. Let g(c) = -7*c**3 - 3*c**2 + 11. Let i(y) = 5*g(y) - 4*s(y). Let t be i(-3). Let z = t - 56. Does 5 divide z?
True
Let p = -19303 - -20661. Is p even?
True
Let g(z) = -120*z - 16. Let a be g(1). Let p be (-43)/(2 - 15/7). Let o = p + a. Does 16 divide o?
False
Suppose 2*s + 2*w + 12 = 0, 14 = 3*s - 6*w + w. Is 7 a factor of 1/s - (-4123)/38?
False
Let w be 58 - (2 + -3)*(-2)/1. Suppose 0 = -4*o + 5*l - 361, -2*o + 5*l = 127 + w. Let n = -46 - o. Does 23 divide n?
False
Let h(g) = -19*g - 205 - 61*g - 23*g. Is h(-11) a multiple of 32?
True
Let b(s) = 2*s**2 + 18*s + 15. Let f be b(-10). Does 22 divide (-10)/(f/(-7)) - (-1090)/5?
True
Let n = 13274 - -22450. Is n a multiple of 78?
True
Suppose 0 = -4*r - 5*k + 115059, -42*k + 57505 = 2*r - 43*k. Is 32 a factor of r?
False
Let y = -5302 - -10563. Is y a multiple of 11?
False
Suppose 5*z - y = 3099, -4*z - 21*y + 2479 = -22*y. Suppose -22*p - 417 = -2*m - 21*p, -4*p + z = 3*m. Does 13 divide m?
True
Let i = -560 + 584. Is 34 a factor of 423/(152/i - 6)?
False
Suppose 3*q + 3*u = 192, 4*q - 281 = -4*u + 5*u. Is 22 a factor of 34201/q - (-8)/6?
False
Suppose -6*p + 16859 = 1859. Suppose -p = 5*o - 740. Is 9/(-2)*o/33 a multiple of 16?
True
Let h(u) = -33*u + 27. Let z = 284 - 290. Does 14 divide h(z)?
False
Let c be -4*((-2202)/12 + 7). Suppose 11*r = -5*h + 13*r + 714, 5*h - c = -2*r. Does 9 divide h?
False
Let y(c) be the third derivative of -c**6/120 - c**5/12 + 3*c**4/8 - c**3/2 - c**2. Suppose 5*d + 10*m + 23 = 7*m, d = -3*m + 5. Does 32 divide y(d)?
True
Let y(n) = -31*n + 3. Let p be 0 + (-4 - -1) - (-1 + -39). Suppose -42*x + p*x = 10. Is y(x) a multiple of 19?
False
Let z(r) = -21*r**2 + 3*r**3 + 2 - 4*r**3 + 28*r**2 + 6. Is 4 a factor of z(7)?
True
Is (19 - 61306/(-8)) + (-1)/4 a multiple of 23?
True
Let m(t) = -t**2 + 22*t + 54. Suppose -24*p - 288 = -36*p. Is 3 a factor of m(p)?
True
Suppose x + 4*z + 7480 = 5*x, 4*z + 1870 = x. Suppose 8*w = 18*w - x. Is w a multiple of 11?
True
Suppose -14 = 4*o - 46. Suppose y + 5*u + 1 = o, 3*y + 3*u = -15. Let k(r) = r**3 + 11*r**2 + 6*r - 19. Does 21 divide k(y)?
False
Suppose -72 = -14*f - 16. Suppose 2*q - 496 = f*y - 6*y, 0 = y + 5*q - 268. Is y a multiple of 9?
True
Suppose 4*y - 115*y + 105274 = -47906. Is 115 a factor of y?
True
Suppose 0 = -67*f + 45*f + 47806. Does 4 divide f?
False
Let m(x) = -18*x - 63. Let n b | {
"pile_set_name": "DM Mathematics"
} |
6*l**2
Differentiate -1016*i**3*p**2*u + 7*i**3*p + 2*i*p**2*u + 49*i*p**2 wrt u.
-1016*i**3*p**2 + 2*i*p**2
Find the first derivative of 61*h*r**3*z**2 - h*r**3*z - 33*r**3 - 2*r**2*z**2 wrt h.
61*r**3*z**2 - r**3*z
Find the third derivative of -d**3*j**2*k**3 - 2*d**3*j**2*k - 3*d**2*k**2 - 19*j**2*k**3 - 1752*j**2*k - 13*k**3 wrt k.
-6*d**3*j**2 - 114*j**2 - 78
Differentiate 88*c*n**2 + 39*n**2 wrt c.
88*n**2
Find the first derivative of 244*w**3 + 6*w**2 + 1435.
732*w**2 + 12*w
What is the derivative of 4824*c + 3296?
4824
Find the third derivative of 46*c**3*i**3 - c**3*i**2 + 5*c**3*i - 4*c**2*i**2 - c*i**2 + 2*i**3 + 69*i**2 wrt c.
276*i**3 - 6*i**2 + 30*i
Differentiate 2*c*i**2*s + 20*c*s**3 - c*s**2 - 23*i**2*s**3 - s**3 with respect to i.
4*c*i*s - 46*i*s**3
Find the first derivative of -1300*r**3*x**2 + 2*r**3 + 2*x**4 + 887 wrt x.
-2600*r**3*x + 8*x**3
Find the third derivative of 4534*z**3 - 9*z**2 + 141.
27204
Differentiate -194*q**4 - 4*q**3 + 6046 with respect to q.
-776*q**3 - 12*q**2
What is the second derivative of 2*a*p**3 - 4*a*p**2 + 21*a*p + a + p**3 - 7*p wrt p?
12*a*p - 8*a + 6*p
Find the second derivative of 2*q**3 + 12*q**2 + 2*q + 181 wrt q.
12*q + 24
What is the third derivative of 831*t**3 - 156*t**2 wrt t?
4986
What is the second derivative of 6*b**3*v**2 + 2*b**3 - b**2*v**2 + 2*b**2*v + 604*v**2 - 6284 wrt v?
12*b**3 - 2*b**2 + 1208
What is the derivative of 277*i**3*z + 330*i**3 wrt z?
277*i**3
What is the second derivative of 13565*v**2 - 14154*v wrt v?
27130
What is the first derivative of 21*c**2*q - 2008*c**2 - 16*c*q wrt q?
21*c**2 - 16*c
Differentiate 784*u + 974 with respect to u.
784
Find the third derivative of 156*l**2*r**4 - 162*l**2*r**2 - l*r**4 - 7*l - r**4 wrt r.
3744*l**2*r - 24*l*r - 24*r
Differentiate -h**3*k**2 + 2*h**3*l - 256*h**3 - h**2*k*l + 2395*h*k**2*l + 2*h wrt l.
2*h**3 - h**2*k + 2395*h*k**2
What is the second derivative of 9*b**2*g**3*h**3 + 20*b**2*g**2*h**3 - 2*b*g**3*h**3 + 530*b*g**2*h**3 + 2*b*g*h wrt b?
18*g**3*h**3 + 40*g**2*h**3
Find the third derivative of 1582*x**5 + 2*x**4 - 463*x**2.
94920*x**2 + 48*x
What is the second derivative of -722*c**2*z**2 - 4*c*z**2 + 20*c wrt c?
-1444*z**2
Find the second derivative of -639*g**5 + 782*g wrt g.
-12780*g**3
What is the third derivative of 3*s*y**3 - s*y**2 + 7*s*y + y**6 + 898*y**5 - 15*y**2 - 2 wrt y?
18*s + 120*y**3 + 53880*y**2
What is the third derivative of -a*h**3 + 1872*a*h**2 + 552*h**4 wrt h?
-6*a + 13248*h
What is the derivative of 1209*l - 482?
1209
Find the second derivative of -10*r*y**4 - 9*r*y**2 + 22*r*y - 2*r + 2*y**4 - 8 wrt y.
-120*r*y**2 - 18*r + 24*y**2
What is the third derivative of 403*l**4 - 1628*l**2 wrt l?
9672*l
What is the second derivative of -60*b**3*u**3 - b**3 - 33*b*u**2 + 4*u**3 wrt b?
-360*b*u**3 - 6*b
Differentiate -95*x**4 + 36*x**2 - 7998 wrt x.
-380*x**3 + 72*x
Find the third derivative of -6*v**4 - 38*v**3 + 18*v**2 - 7*v wrt v.
-144*v - 228
What is the second derivative of -14*s**2*x**4 - 2*s**2*x - 2*s*x**5 + 362*x wrt x?
-168*s**2*x**2 - 40*s*x**3
What is the first derivative of -23*d**2*r**3 - 159*d**2*r**2 - 1166*d**2 wrt r?
-69*d**2*r**2 - 318*d**2*r
Find the second derivative of -3859*q**5 + 3066*q wrt q.
-77180*q**3
What is the second derivative of -2*i**3*u**3 - 33*i**3*u**2 + i**3*u - 10*i**3 - 5*i**2*u - 22*i*u**3 - u wrt u?
-12*i**3*u - 66*i**3 - 132*i*u
What is the derivative of -672*n + 19 wrt n?
-672
What is the second derivative of -92*b**2*x - b*x - 2*b - 3*x wrt b?
-184*x
What is the first derivative of 55*f**2*m + 797*f**2 - 2*m**3 wrt m?
55*f**2 - 6*m**2
Find the third derivative of 22754*h**6 + 22243*h**2 wrt h.
2730480*h**3
What is the second derivative of 330*s**2 - 38*s wrt s?
660
What is the first derivative of 2*k*t**3*w + 2*k*t - 3*t**3*w + t**3 + t*w**2 + t*w - 76*t wrt w?
2*k*t**3 - 3*t**3 + 2*t*w + t
Find the first derivative of -261*h**2 - h + 459 wrt h.
-522*h - 1
Find the third derivative of -3725*m**3 - 15*m**2 - 32*m + 2 wrt m.
-22350
What is the second derivative of 16*c**5*i**2 + 5*c**3*i**2 + 91*c*i**2 + i**2 wrt c?
320*c**3*i**2 + 30*c*i**2
Differentiate 173*a**3*g + 74*a**3 - a**2*g + 15 with respect to g.
173*a**3 - a**2
What is the derivative of -3*f*g**2*y**2 + 3*f*g**2*y + 684*f*y**2 + 2*g**2*y - 2*y**2 wrt g?
-6*f*g*y**2 + 6*f*g*y + 4*g*y
Find the second derivative of 42*l**2 - 2*l - 12 wrt l.
84
Find the second derivative of -208*x**4 + 2*x**2 - x - 8 wrt x.
-2496*x**2 + 4
What is the first derivative of 1767*m**3*y**2 + 6779*m**3 - m*y**4 wrt y?
3534*m**3*y - 4*m*y**3
Find the third derivative of -8*s**6 - 9*s**5 - s**3 - 6*s**2 + 2*s + 29 wrt s.
-960*s**3 - 540*s**2 - 6
Differentiate -2*d**3*f**2*j + 5*d**3*f**2 + 18*d*f + 15*d*j with respect to j.
-2*d**3*f**2 + 15*d
What is the second derivative of 156*o**2 + 262*o?
312
What is the second derivative of 816*p**5 + 2*p**2*x**2 - 2*p*x**2 + 2*p*x + 1206*p - x wrt p?
16320*p**3 + 4*x**2
Differentiate -2492*k*z**2 - 1062*z**2 with respect to k.
-2492*z**2
Differentiate -2*n**3*y**2 + n**3 + 46*n - 4*y**2 - 4 with respect to n.
-6*n**2*y**2 + 3*n**2 + 46
Find the second derivative of 3534*v**4 + 1105*v.
42408*v**2
What is the derivative of -2*t**2*u**4 + 2*t**2 + 750*t - 7*u**4 + u**2 wrt u?
-8*t**2*u**3 - 28*u**3 + 2*u
What is the second derivative of -617*b**2*j*z - 2*b**2*z**2 - 2*b*j*z**2 + 2*j*z**2 + 1035*z**2 wrt b?
-1234*j*z - 4*z**2
Find the second derivative of -7*z**4 - 3*z**3 + 230*z**2 - 6604*z wrt z.
-84*z**2 - 18*z + 460
Find the second derivative of -b*i**3*k - 2*b*i**3 + 2*b*i*k - 23*b + 35*i**3*k + i wrt i.
-6*b*i*k - 12*b*i + 210*i*k
Find the second derivative of 441*s**2 + 727*s wrt s.
882
Find the third derivative of 3553*o**4 + 6*o**2 + 46*o - 1.
85272*o
Find the first derivative of 4*a*f*u**2*w - a*f*u**2 + 4*a*f*u*w - 2*a*u**2 + 3*a - 2*f*u**2 - 2*f*w wrt w.
4*a*f*u**2 + 4*a*f*u - 2*f
Find the third derivative of 15*k**6 - 2*k**3 + 3*k**2 + 15 wrt k.
1800*k**3 - 12
What is the derivative of -1010*x**2 + 5*x + 7233 wrt x?
-2020*x + 5
Find the first derivative of -655*q + 564 wrt q.
-655
Find the third derivative of -634*h**4 + 135*h**2 - 8.
-15216*h
What is the second derivative of -3*g*r**3 + 5*g + 10*r**2 + 9*r wrt r?
-18*g*r + 20
Differentiate -11*a*h - 207*a - h**4 - 2*h with respect to h.
-11*a - 4*h**3 - 2
What is the third derivative of 1035*g**2*q**3 - 2*g**2*q**2 - 509*g**2 + 2*g + 3*q**3 - q**2 wrt q?
6210*g**2 + 18
Differentiate -22041*s**2 + 9703 wrt s.
-44082*s
What is the first derivative of -2*a**4 - 82*a**3*b + 29*b - 3 wrt a?
-8*a**3 - 246*a**2*b
Differentiate 512*w**4 + 3*w + 10521 with respect to w.
2048*w**3 + 3
Find the first derivative of d*n*v**3 + 271*d*n - 2*d*v + 31*n*v**3 - 5*n wrt d.
n*v**3 + 271*n - 2*v
Find the first derivative of -177*a*x**4 - 8*a*x**2 + 6314*a wrt x.
-708*a*x**3 - 16*a*x
What is the second derivative of o**2*q**3 + 48*o**2*q - 10*o*q + 4*q**3 wrt o?
2*q**3 + 96*q
Find the second derivative of 82*c**4 - 115*c.
984*c**2
Find the second derivative of -89*q**2*t**3 + 26*q**2 - 743*q*t**3 - t**3 + 2 wrt q.
-178*t**3 + 52
What is the second derivative of 282*z**4 + 4*z**3 + 14056*z?
3384*z**2 + 24*z
Find the second derivative of 942*q**2 - 89*q - 9 wrt q.
1884
Find the first derivative of 7*m*w**2 - 24*m*w - 121*w**2 + 1 wrt m.
7*w**2 - 24*w
Find the third derivative of 9*d**3*p**5 + 5*d**3*p**2 + 3*d**3*p - 3*p**5 + 10*p**2 wrt p.
540*d**3*p**2 - 180*p**2
Differentiate 192*f**4*l - 7*f**3*l**2 + l**2 - 183*l - 5 with respect to f.
768*f**3*l - 21*f**2*l**2
Differentiate -5479*m**2 - 6490 wrt m.
-10958*m
What is the derivative of -38*o**2*t*v - 9*o**2*t - o**2*v - 15*o*v - 2*t*v - 65*t + 2 wrt v?
-38*o**2*t - o**2 - 15*o - 2*t
Differentiate -177*b + 209 wrt b.
-177
What is the first derivative of 421*v**4 + v**2 - 12622?
1684*v**3 + 2*v
What is the second derivative of -2*i**2*m**2 - 96*i**2*m + 2*i*m**2 + 31*i*m wrt i?
-4*m**2 - 192*m
What is the first derivative of 2*g**2*n + 111*g**2 + 104*g*n**2 - 3*g - n**2 wrt n?
2*g**2 + 208*g*n - 2*n
Find the first derivative of 2*j**2*t**2*u**2 + 4*j**2*t**2 + 27*j**2*t*u - 7*j*t**2 - 9*j wrt u.
4*j**2*t**2*u + 27*j**2*t
What is the third derivative of -16*c**3*v**2 + 2*c**3*v*x**3 | {
"pile_set_name": "DM Mathematics"
} |
Let q = -23039 + 7705. Let x = q + 8464. What is x rounded to the nearest 1000?
-7000
Suppose -9*g + 12 = -6*g. Suppose 0 = -3*x + 3, c + g*c + 3*x = 208. Suppose -2*u + c = -103. Round u to the nearest ten.
70
Let o = -16105738.03000628 + 16105740. Let a = 1.97 - o. Round a to 6 decimal places.
0.000006
Let n = -1.6649574 - -1.6638. What is n rounded to 4 dps?
-0.0012
Let g = -1941.995 + 1925. Round g to one decimal place.
-17
Let j = -1.012 - -1.1377. Let v = 0.0554 - j. Round v to 2 dps.
-0.07
Let o = -20.93 - 46.09. Round o to the nearest 10.
-70
Let u = -0.1544 + 2917.1544. Let j = u + -2914.594. What is j rounded to 1 decimal place?
2.4
Let o = -0.33659742 - -0.3366. Round o to six decimal places.
0.000003
Let o be ((-165)/6)/(67/94872). Round o to the nearest one hundred.
-38900
Let w = -1241.9 - 277.1. Let s = 1430.1 + w. What is s rounded to the nearest integer?
-89
Let q = -3.651 + 3.6507975. Round q to six dps.
-0.000203
Let r = -4.4 + -1.6. Let o = -2172958 + 2172952.000021. Let a = r - o. Round a to 6 decimal places.
-0.000021
Let h = 18721.00014632 + -18721. What is h rounded to 6 dps?
0.000146
Let f be 3632*(9983 + (0 - -17)). Round f to the nearest 1000000.
36000000
Suppose 15*z + 252 = 8*z. Let n be -24140004 + 9/((-81)/z). Round n to the nearest 1000000.
-24000000
Let y = 1661 - 1660.9962685. Round y to 4 decimal places.
0.0037
Let u(f) = -122*f + 24. Let t be u(3). Let k = -1185 - t. What is k rounded to the nearest one hundred?
-800
Let n = 0.04 - 3.6. Let p = n + 3.978. Round p to two decimal places.
0.42
Let a = -472185 + 474263.752. Let x = -1996.2 + a. Let d = x + -83. Round d to 2 dps.
-0.45
Let v = 208513177 + -116823177. What is v rounded to the nearest 1000000?
92000000
Let n(x) = -330263*x - 185. Let b be n(5). What is b rounded to the nearest ten thousand?
-1650000
Let z = -107.6 + 307. Let o = 214 - z. Round o to zero decimal places.
15
Let z = 0.0436 - 0.136. Let l = z + 0.094535. What is l rounded to 4 decimal places?
0.0021
Let j = -1.04 + -0.4. Let g = -1.439861 - j. Round g to 5 decimal places.
0.00014
Let m = -176.863615032 + -0.136375868. Let g = 177 + m. Round g to six dps.
0.000009
Let p = -869.1988553 + -37.8020307. Let c = p + 907. Round c to four decimal places.
-0.0009
Let h(b) = 38*b**2 - 66*b + 500. Let x be h(37). Round x to the nearest 1000.
50000
Let r = -0.163 - 68.837. Let z = 68.9998064 + r. What is z rounded to 6 dps?
-0.000194
Let l = 450552 - 127877. Let d = 213675 - l. Round d to the nearest 100000.
-100000
Let x = -11004.162 + 11063. Let s = -1308 - -1249. Let f = s + x. Round f to 1 decimal place.
-0.2
Let a = -18948.337 - -18940.7870533. Let h = 7.55 + a. Round h to 6 decimal places.
0.000053
Suppose 2*z - 14 = -2*v, 5*v - 13 = -4*z + 17. Suppose 0 = -v*b + j + 997, b - 16*j + 11*j = 485. Round b to the nearest one hundred.
500
Let c = 50.004 + -50. Let h = c + 0.005. Let d = 0.0089938 - h. Round d to six dps.
-0.000006
Let c = 137505464563903191.16 - 137505526454540392.15999697. Let y = c - -61890637916. Let b = y - 715. Round b to seven dps.
0.000003
Let u = -110.9141 + 109.31. What is u rounded to 2 dps?
-1.6
Let n = 4.819 - 196.879. What is n rounded to zero decimal places?
-192
Suppose r - 32 = -7*r. Let h be 11/(-22) + (-374909)/r*22. What is h rounded to the nearest 100000?
-2100000
Suppose 42*a + 9886041 + 245559 = 30*a. What is a rounded to the nearest 100000?
-800000
Let n = 1797.159803006 - 1797.16. Round n to 6 dps.
-0.000197
Let l = -14.683 - 62.415. Let n = -77 - l. Let k = n - 0.728. What is k rounded to one decimal place?
-0.6
Suppose 0 = 2*n + 3*q - 16, 5*n - 6*q = -8*q + 29. Let i = 154142 - 842. Suppose 12*d - n*d = -i. What is d rounded to the nearest 1000?
-22000
Let i be (-55169519928)/(-30)*26/208 - (-3)/10. What is i rounded to the nearest one million?
230000000
Let x = 164.6 - 67.3. Let k = x + -85. Let s = k + -13.64. Round s to 1 decimal place.
-1.3
Let j = 92 - 182. Let o = j + 90.03. Let u = 0.030007 - o. Round u to 6 decimal places.
0.000007
Let h = -205901666 - -205901670.07999783. Let v = 1.762 - -2.318. Let t = v - h. Round t to seven decimal places.
0.0000022
Let n = -0.1744 + -1428.3256. What is n rounded to the nearest 100?
-1400
Let o = 19.712 - 2.682. What is o rounded to 0 decimal places?
17
Let i = -63364 + 65569.57. Round i to the nearest one hundred.
2200
Let j = 97320.947999 + -97321. Round j to three dps.
-0.052
Let h be 2 - -9 - (-65978 + 19). Round h to the nearest 1000.
66000
Let j = 265292 - 265029.922. Let g = -262 + j. Round g to two decimal places.
0.08
Let q = 47994640930650479 - 47994641216487767.28999817. Let r = q - -285837286. Let a = r + 2.29. What is a rounded to seven decimal places?
0.0000018
Let t = 187463301.24380840553 - 187463293.0502. Let p = t - 0.01360789653. Let m = p - 8.18. What is m rounded to seven decimal places?
0.0000005
Let g = -2052.994591 - -2053. What is g rounded to 3 decimal places?
0.005
Let o = 2172552897 + -2172552863.49999937. Let s = o + -33.5. Round s to seven decimal places.
0.0000006
Let n = 6918.5 + -6821.133. Let z = n + -97. Let g = -0.367347 + z. Round g to 5 dps.
-0.00035
Let n = 2.3863 + -3.6544. What is n rounded to 2 decimal places?
-1.27
Let r(m) = -501*m**2 + 214*m - 44. Let d be r(12). What is d rounded to the nearest 10000?
-70000
Let m = 11.457449587 + -10.74444927. Let z = m - 0.713. What is z rounded to 7 dps?
0.0000003
Let w = -12934 - -12760.69. Round w to the nearest 10.
-170
Let t(f) = 4*f**3 - 112*f**2 - 93*f + 198. Let b be t(44). Round b to the nearest one thousand.
120000
Let r = -32833 + 92123. Round r to the nearest 10000.
60000
Let m = 29.2553 - 29.24. Round m to 1 decimal place.
0
Let p = -1461.1 + 1461.099976184. Round p to six decimal places.
-0.000024
Let w be 0*(-1 - (-6)/9). Suppose w = 4*m - 2*h + 7584, -2*m + 11*h - 3800 = 8*h. Let b = 1304 + m. Round b to the nearest one hundred.
-600
Let g = 427.9 + -447. Let w = 18.859 + g. Let r = -10.459 + w. Round r to the nearest integer.
-11
Let k = 1368.6 + -1368.31956. What is k rounded to 2 dps?
0.28
Let h = -5.48 - 1.52. Let s = -7.00000008 - h. What is s rounded to six dps?
0
Let l(j) = 5*j**2 - 2*j + 4. Let v be l(2). Suppose -4*q - v = -9*q. Suppose 1902 = -q*r + 72702. Round r to the nearest one thousand.
18000
Let h = -2411020 - -2410919.0011. Let k = 101 + h. Round k to 2 decimal places.
0
Let d(r) = 11*r + 8. Let a be d(-4). Let o(v) = -v**3 + 8*v**2 - 4*v + 2. Let k be o(9). Let p = k + a. What is p rounded to the nearest ten?
-150
Let i = -18073.69035 - -18074. Round i to one dp.
0.3
Let k = 5375 - 5376.5382. What is k rounded to one decimal place?
-1.5
Let a = -160800432637.000000061 - -160800432839. Let k = a + -202. What is k rounded to 7 dps?
-0.0000001
Suppose b + 1221*p - 1218*p + 175398 = 0, -3*b - 526180 = -5*p. Round b to the nearest ten thousand.
-180000
Suppose 3*y + 4*b - 64829 = 0, -86434 = -446*y + 442*y - 3*b. What is y rounded to the nearest 100?
21600
Suppose -1269 = d + 5*y, -62*d = -59*d + 2*y + 3742. Let i(g) = g**3 + g**2 + 1774. Let l be i(0). Let o = d + l. Round o to the nearest 1000.
1000
Let n = -2.363839 - -2.362. What is n rounded to 3 dps?
-0.002
Let t(w) = w**2 - 25*w - 21. Let c be t(26). Suppose c*r - 55245344 - 74254656 = 0. What is r rounded to the nearest 1000000?
26000000
Let o = -68.027 + 0.027. Let y = o - -8. Let f = -59.859 - y. Round f to two decimal places.
0.14
Let j = -126 + 125.15. Let q = j - 0.57. Round q to 1 dp.
-1.4
Let w(d) = -203*d**2 - 473*d**2 - 56 + 79*d**2 - 385*d**2 + 2*d. Suppose 59*j = 42*j - 476. Let y be w(j). Round y to the nearest 100000.
-800000
Let r = -32.52659643677 + 32.5266. What is r rounded to seven decimal places?
0.0000036
Let h = -430 - -435. Suppose -h*v + 295633837 + 109866163 = 0. What is v rounded to the nearest 1000000?
81000000
Let t = -0.2511 + -4.6639. What is t rounded to the nearest integer?
-5
Let c = -2174.000000309 - -2174. Round c to seven dps.
-0.0000003
Let w = 2.595 - 2.11. Let u = w - 0.485722. What is u rounded to 4 dps?
-0.0007
Let p = -177.4 + 142. Let s = 35.4708 + p. Round s to 3 dps.
0.071
Suppose -3*z = -3*s - 886482, 3*s - 32*z + 30*z + 886478 = 0. Round s to the nearest one hundred thousand.
-300000
Let k = | {
"pile_set_name": "DM Mathematics"
} |
rt(102) - 2*sqrt(102)*2)/(sqrt(6) - (sqrt(24)/sqrt(2) - sqrt(12))/sqrt(2)))*3)**2.
-1512*sqrt(17) + 269928
Simplify -1 + 2 + (5 + sqrt(128) + sqrt(2) + sqrt(2))**2 + (-1 + (sqrt(132)/sqrt(6))/sqrt(11))**2.
98*sqrt(2) + 229
Simplify (sqrt(1100)*1 - (4*sqrt(11) + 3))**2 + 1 + (sqrt(275) + 1)**2 + -3.
-26*sqrt(11) + 679
Simplify (3 + sqrt(20)/(sqrt(10) + sqrt(70)/(sqrt(7) + sqrt(14)/sqrt(2))) + 1 + -1 + sqrt(20)/(sqrt(1250)/sqrt(5)))**2*-1.
-2363/225 - 26*sqrt(2)/5
Simplify (2*sqrt(108))/(sqrt(9) - sqrt(36)/sqrt(16)) + -4 + -5 + 3.
-6 + 8*sqrt(3)
Simplify ((sqrt(190) + 2*sqrt(190) - sqrt(190))*5*5*5)/(-1*(-4*sqrt(40) - sqrt(10) - -5*(sqrt(10) + sqrt(20)/sqrt(2)))).
-250*sqrt(19)
Simplify -3*(-5 + (-4 + 3 + -1 + sqrt(7) - (sqrt(5103)/sqrt(9) + -5))).
6 + 24*sqrt(7)
Simplify 6*-2*(3 + -5*(1 + sqrt(1008))**2 + -6*(sqrt(1008) + 4)).
2304*sqrt(7) + 60792
Simplify (((3*(sqrt(76) - 3*sqrt(76)) - sqrt(76))*-4 + -1)**2 - ((-1 + sqrt(76))*4 + (0 + (sqrt(76) - (sqrt(76) - (sqrt(76)*2 - sqrt(76)))))**2)*5)*-3.
-177675 + 456*sqrt(19)
Simplify (-5*(sqrt(605)/(-1*sqrt(11)) + (-1*-1*sqrt(55) - sqrt(55))))/((sqrt(220)/(sqrt(5)*2))/(sqrt(4) + (4*sqrt(36) - sqrt(4)))).
120*sqrt(5)
Simplify (0 + (-2 + (sqrt(363) - 2*sqrt(363)*-2 - 4*sqrt(363)*2))*-2 + 3)**2.
924*sqrt(3) + 13117
Simplify (sqrt(1000)*-5*-4*2)/(sqrt(64)/(4*sqrt(8)) + sqrt(8) + (sqrt(72) - -4*sqrt(72))/sqrt(9)).
32*sqrt(5)
Simplify ((-2*sqrt(70)*-2)/sqrt(2))/(sqrt(500)*-5*-1).
2*sqrt(7)/25
Simplify ((sqrt(360) + -2*2*sqrt(360))/sqrt(6)*-4)/((1*sqrt(108))/sqrt(9) + sqrt(12) - sqrt(12) - ((sqrt(12)*3 + sqrt(12))*-5 - sqrt(12))) + -5.
-5 + 6*sqrt(5)/11
Simplify ((sqrt(216) - 4*sqrt(216)*-2)/(sqrt(576)*1))/(-3*sqrt(200)*-2*6)*4.
sqrt(3)/40
Simplify (-5 + sqrt(700) + 0 - sqrt(700))**2 + -1 + sqrt(1372) - (-2 + 2 + sqrt(7) + sqrt(112)*1)**2*-3.
14*sqrt(7) + 549
Simplify (sqrt(12) + -3 + (sqrt(3) + sqrt(6)/sqrt(2))*-5 + -5 + (sqrt(300) - (sqrt(300) + 5)) + (sqrt(3) - sqrt(24)/sqrt(200)))**2.
936*sqrt(3)/5 + 8113/25
Simplify -2 + (sqrt(256)/(-1*sqrt(32)) - -4*(-4 + sqrt(32) + -1))**2*-2.
-1586 + 1120*sqrt(2)
Simplify 3 + (-2 + sqrt(52))*-5 + (sqrt(13) - 6*sqrt(208))**2 + (sqrt(52)*2)/sqrt(4) + 4.
-8*sqrt(13) + 6894
Simplify (3 + sqrt(1216) + 1 + -4)**2 - ((0 + sqrt(95)/sqrt(5))**2*-6 + 3).
1327
Simplify (3*((sqrt(432)*-2)**2 - sqrt(432)) + 4)*4 - -2*(1*(sqrt(3) + -1) + -5)*-5.
-154*sqrt(3) + 20812
Simplify (((-5 + sqrt(192) + 2 + 1 + sqrt(192) - -6*(4 + (sqrt(192)*3 + sqrt(192) - sqrt(192) - sqrt(192)))) + 4 + -3)*3)**2.
46368*sqrt(3) + 343449
Simplify ((sqrt(77) - 5*(-2*sqrt(77) - sqrt(77))) + 2*sqrt(77)*1)/(sqrt(35)/((sqrt(60)/sqrt(4))/sqrt(3))).
18*sqrt(11)
Simplify -5*(((5 + sqrt(19))**2 + 5)*4*5 - (sqrt(152)/sqrt(4)*1)/((sqrt(66)/sqrt(3) + sqrt(22) + sqrt(22))/sqrt(11))).
-4900 - 2995*sqrt(19)/3
Simplify -2*((-1*sqrt(425)*2)**2 + ((sqrt(459) - sqrt(51) - sqrt(51))*2)/sqrt(3) + -2).
-3396 - 4*sqrt(17)
Simplify -1 + (sqrt(312)/(sqrt(80)/sqrt(640)))/(sqrt(2700)*3).
-1 + 4*sqrt(13)/45
Simplify (-2*-2*sqrt(95)/sqrt(80))**2 + (-5*(2*sqrt(133) + sqrt(133)) - sqrt(133))/(sqrt(21)/(sqrt(15)/sqrt(5))).
-16*sqrt(19) + 19
Simplify ((sqrt(110) - sqrt(110)*1*3)/sqrt(11))/(sqrt(224)/(sqrt(21)/sqrt(3))).
-sqrt(5)/2
Simplify (-3*sqrt(2100)*-2 + 5*(sqrt(2100) + sqrt(2100) + sqrt(2100)*-2 - sqrt(2100)))/(-2*(sqrt(63) - sqrt(7))*2*-6).
5*sqrt(3)/24
Simplify ((1*sqrt(2673) + sqrt(2673))/(-1*sqrt(1584)) + 4 + (-3 + sqrt(300) - (sqrt(12) + -2)))**2.
39*sqrt(3) + 543/4
Simplify (-3*sqrt(120)*2 - (sqrt(120) - -2*(sqrt(120) + sqrt(120) + sqrt(120)*-1)))/(-6*(6*sqrt(40)/sqrt(4) - 1*sqrt(1000))).
-3*sqrt(3)/4
Simplify -6*(sqrt(396) - ((-2 + sqrt(396))*1)**2) + 3*sqrt(99) + sqrt(11)*-1*-3.
-168*sqrt(11) + 2400
Simplify (-1 + (sqrt(66)/(sqrt(294) + sqrt(294)*-2 + sqrt(6)))**2 - (-4 + (sqrt(176) - sqrt(11)*1*6))) + -3.
11/36 + 2*sqrt(11)
Simplify (-2*6*(sqrt(1900) + -5 + 1*sqrt(1900) + sqrt(1900))*-1 + 3 + 4)**2.
-38160*sqrt(19) + 2465209
Simplify (5*(sqrt(130) + sqrt(130)*2*-2 + sqrt(130) + (sqrt(130) - (1*sqrt(130) + sqrt(130) - sqrt(130))*-3))/(5*3*2*sqrt(10))*-1*-6)**2.
52
Simplify (4*(1 + ((sqrt(19) + 3)*4 - 6*-4*sqrt(19)))*-2)**2*-5.
-4820800 - 232960*sqrt(19)
Simplify (-3*(-4 + (0 + (-1 + sqrt(272) - sqrt(272)) + sqrt(272) - -2*sqrt(272)*-2)) + 0)**2.
1080*sqrt(17) + 22257
Simplify (2*(4*-2*-4*sqrt(119))/(5*(sqrt(252) + sqrt(252)*3)))**2.
1088/225
Simplify 3*(5 + sqrt(171)*1 + (sqrt(171)*1 + -1)**2 - (5*sqrt(209)*-1)/((sqrt(66) + 2*sqrt(66))/sqrt(6))).
-4*sqrt(19) + 531
Simplify (((sqrt(2940) - sqrt(60))*2)/((-5*sqrt(132))/sqrt(11)) + -1)**2*5.
24*sqrt(5) + 149
Simplify (2*(1 + (2 + sqrt(1872) + -1 + (sqrt(52) + sqrt(13) + -4)*1)*5))**2.
-8400*sqrt(13) + 293284
Simplify -1*(4 + (((sqrt(306)*2 - sqrt(306)) + sqrt(306))/sqrt(6))/(sqrt(21)/(sqrt(42)/sqrt(6)) + sqrt(3)))*-4*-4.
-16*sqrt(17) - 64
Simplify (-1*(0 + sqrt(720))*-1*6 + 2 + (1*(sqrt(720) - (sqrt(720) + -1)) - ((sqrt(720) - ((-1 + sqrt(720))*-3 - sqrt(720))) + sqrt(720))) + -3)**2.
9
Simplify (1*(-2 + 2*(0 + sqrt(450)) + (-1 + sqrt(450) + -5 - sqrt(450)))*-2)**2.
-1920*sqrt(2) + 7456
Simplify 1 + (-4*3*sqrt(70)*3)/((sqrt(10) - (-5*sqrt(50)/sqrt(5) - sqrt(10))) + (sqrt(60)/(1*sqrt(6) + sqrt(6)) - sqrt(10) - sqrt(10)) + sqrt(10)).
-72*sqrt(7)/13 + 1
Simplify (-6*(-2 + sqrt(300))*2)**2 - ((-5 + (sqrt(48) - sqrt(3)) + sqrt(3))**2 - (sqrt(27)/(sqrt(9)*-4))**2).
-5720*sqrt(3) + 699251/16
Simplify (-3*((sqrt(7) - sqrt(28)) + sqrt(7)))**2 + sqrt(49)/(-1*sqrt(7)) + -4 - ((sqrt(343) - (-3 + sqrt(343)))*-5*1)**2.
-229 - sqrt(7)
Simplify (3*(-4*sqrt(121)/(sqrt(11) - (sqrt(11)*-2 + sqrt(11) + sqrt(11)))*-3 + 2)*6*-6)**2.
559872*sqrt(11) + 18522432
Simplify 5*(4*sqrt(98)*4*-1 - (-2*sqrt(200)*1 - sqrt(200)*-2*3)**2).
-16000 - 560*sqrt(2)
Simplify ((5 + sqrt(17)*-1)**2 - sqrt(34)/(sqrt(8)/sqrt(4)))*-2 - (1*sqrt(2448) - (sqrt(17) + 4*sqrt(272)))**2.
-509 + 22*sqrt(17)
Simplify -3 + (2*sqrt(4212)*-2 + sqrt(4212))/(sqrt(16) + 4*sqrt(256)).
-3 - 27*sqrt(13)/34
Simplify -2*-6*(sqrt(156)/(-1*sqrt(432) - sqrt(432)) + (3*sqrt(117)*1)/sqrt(9))*-6.
-210*sqrt(13)
Simplify ((6*(sqrt(8) + 5 + 4) + (sqrt(2880)*-2 + sqrt(2880))/(-4*sqrt(20)/sqrt(2) - sqrt(10)))*-1)**2.
7776*sqrt(2)/5 + 83268/25
Simplify 4*3*(-1*(1 + sqrt(99) + -2 + 1))**2 + -1.
1187
Simplify 6*-6*((-3*(sqrt(68) + (sqrt(68) - 4*3*sqrt(68)) + sqrt(68)))/(sqrt(484) + sqrt(484)*-1*6 + sqrt(484)))**2.
-111537/484
Simplify 2*(((0 + sqrt(245))*3 + sqrt(245))**2 + 0 - (1 + sqrt(245) + -1 + 3)) + 5.
-14*sqrt(5) + 7839
Simplify 1*2*((sqrt(209) - sqrt(209)*-2 - sqrt(209))*-3 - (sqrt(209) + sqrt(209)*1*-3))/(sqrt(539) - sqrt(539)*1*-3)*-3.
6*sqrt(19)/7
Simplify (6*(-1 + sqrt(1216) + 3 - (-3 + 0 + sqrt(1216) - sqrt(1216))) - (1 + (sqrt(304) + -1 - sqrt(304)) + (sqrt(931) - (3 + 2*sqrt(931)))))**2.
3630*sqrt(19) + 58564
Simplify (-3*((-1*sqrt(96) - sqrt(96) - sqrt(96)) + sqrt(96) + sqrt(96))/(-6*(sqrt(2) + sqrt(32))) + (sqrt(726)*-3)/(sqrt(6)/sqrt(27)))**2.
741027/25
Simplify -3 + (5 + 4 + (4*(sqrt(1008) + 3))**2 + -1)*-1.
-16283 - 1152*sqrt(7)
Simplify (-1*1*(sqrt(76) - 2*sqrt(76) - sqrt(76))*-1)/(sqrt(36)/(-5*(sqrt(9) - sqrt(36)))*-3).
10*sqrt(19)/3
Simplify (-3*(-1*sqrt(104)*-6 + -3*sqrt(104)*-1))/(sqrt(72)*-1*5 - (sqrt(72) + 6*(sqrt(72) + 1*sqrt(72)) - sqrt(72) - sqrt(72))).
9*sqrt(13)/16
Simplify (sqrt(119)*3*1 + sqrt(119)*2*-4)/(-5*(sqrt(28)/sqrt(4)*-4 - (sqrt(1008) - (2*sqrt(1008) + sqrt(1008))))).
sqrt(17)/20
Simplify (2 + sqrt(75) + -1 - sqrt(75) - (sqrt(75) + (-1*sqrt(75)*2 + sqrt(75) - sqrt(75) - sqrt(75))))**2 + ((3*sqrt(528))/((2*sqrt(99))/sqrt(9)))**2.
20*sqrt(3) + 409
Simplify (-5*-5*1*sqrt(450))/((sqrt(189)/sqrt(7))/sqrt(3) - (sqrt(729) + sqrt(729)*-3)).
125*sqrt(2)/19
Simplify (6*(-4 + -3*-2*((sqrt(468) - (-2 + sqrt(468))*6 - sqrt(468)) + -2 + sqrt(468)*1)))**2.
-725760*sqrt(13) + 15276096
Simplify (-2*(sqrt(90) + sqrt(90)*1) + sqrt(90))/(sqrt(162) + (sqrt(162) - -1*sqrt(162) - sqrt(162) - sqrt(162)) - sqrt(2)) - (4 + -4*((-1*sqrt(605))**2 + -4)).
-9*sqrt(5)/8 + 2400
Simplify ((sqrt(132)*1)/sqrt(4) + (sqrt(4752) + (sqrt(4752)*-2 - sqrt(4752) - sqrt(4752) - sqrt(4752)) - sqrt(4752)))/(-6*-1*sqrt(1100)*1).
-59*sqrt(3)/60
Simplify (-4 + ((-2 + sqrt(108))*-3 + 1 + -2*(sqrt(108) + 1) + 1 + sqrt(108) + 5)**2)*4.
-2112*sqrt(3) + 7380
Si | {
"pile_set_name": "DM Mathematics"
} |
1 - 2))*(-q - 4*q + 4*q) - 3*q**2 + 2*q**2 + 2*q**2 to k + d*q + b*q**2 and give b.
-5
Express (170 - 170 + 141*s + (-3*s + 5*s - 3*s)*(-4 - 1 - 4))*(4 + 0 - 2) as r*s + z and give r.
300
Express (18*d**2 - 85*d**2 + 6*d**2)*(-1 + 2*d**2 + 1) + 49*d**3 + 21*d**4 - 49*d**3 - 2*d**2 in the form w*d + g*d**4 + x + z*d**3 + y*d**2 and give y.
-2
Express -2*q**3 + 61*q + q**4 + 4*q**3 - 16942 + 106*q + 16944 + 0*q**4 in the form z*q**2 + y + p*q + n*q**4 + u*q**3 and give n.
1
Rearrange -5879 + u**2 - 2*u + u**2 + 5876 to the form m*u + i + z*u**2 and give m.
-2
Express (2 - 3 + 0)*(52*x + 136*x - 176*x - 292 - 447) in the form o*x + a and give a.
739
Rearrange 1109*c + 381*c + 1799*c to the form d + w*c and give w.
3289
Express 182*r**2 + 16*r**3 - 182*r**2 + (5*r - 3*r**2 - 5*r)*(8*r + 10*r + 2*r) as g*r**3 + o*r + h*r**2 + b and give g.
-44
Rearrange -l**4 - 6*l**4 - 2*l**2 + 17*l**4 - 204*l**3 - 4*l**4 - 11*l**4 to the form v*l + a + y*l**2 + x*l**4 + z*l**3 and give y.
-2
Express -t + 357 + 127 - 107 + 750 as n + y*t and give y.
-1
Rearrange 50268*f**2 - 1 + 4*f**3 - 50280*f**2 - 6*f + 16*f to z*f**2 + u*f + l*f**3 + q and give l.
4
Rearrange -30*c - 1839 - 1853 + 9*c**2 + 3690 to the form f*c + t + q*c**2 and give t.
-2
Rearrange (-5*f - 63 + 4*f + 2*f)*(3*f - 4*f - 3*f) to the form b*f + x*f**2 + w and give b.
252
Rearrange 1717*o - 104*o + 470*o - 836*o + 646*o to the form y + l*o and give l.
1893
Rearrange -q - 68 - 388 - 234*q**2 + 504 to x*q + j*q**2 + g and give g.
48
Express (5 - 1 - 2)*(-4 - 2 + 8)*(-152*s**4 - 29*s**4 + 26*s**4) + s**4 - 2*s**4 - 2*s**4 as y*s**2 + h*s**4 + p*s + t + i*s**3 and give h.
-623
Rearrange 47*d**2 - 174*d**2 + 49*d**2 + 48*d**2 + 1126 + 35*d**2 to the form f*d + y + z*d**2 and give z.
5
Express -127 + 29*i + 294 - 102 - 104 in the form a*i + q and give q.
-39
Rearrange i + 41*i**4 - 29*i**2 + 62826 - 62824 - 40*i**4 to the form p*i**3 + v*i**4 + h*i + y*i**2 + o and give h.
1
Express (0*r**2 - 2*r**2 - 3*r**2)*(-5*r + 2*r + r)*(-62*r + 6*r - 495 + 53*r) in the form j*r**3 + s*r + i*r**2 + d + c*r**4 and give j.
-4950
Rearrange 3*u - 2*u - 3*u + (-1 - 4 + 3)*(-u - 2*u + 6*u) - 3*u + 0*u + 2*u - 16*u + 22*u + 36*u + (0*u - u + 3*u)*(-14 - 2 - 17) to v + d*u and give d.
-33
Rearrange 2 + 80*s**2 - 460*s**2 - 232*s**2 to the form m*s + i*s**2 + p and give p.
2
Rearrange 177413 - 354824 + 177398 - 63*a - 18*a to o + z*a and give o.
-13
Rearrange 14 - 7 + 1 - 11 + 8028*g + 5 to k + b*g and give b.
8028
Rearrange 5*y - 2*y**3 - y**2 + 26491 - 26478 + 0*y**2 to the form o*y**2 + i*y**3 + z + c*y and give c.
5
Rearrange 8*u**4 + u**4 - 230*u**3 + 197*u**3 + 18 - 22 to o*u**2 + v*u + l*u**3 + p*u**4 + a and give l.
-33
Rearrange -377*l**4 + l**2 - 25*l**3 - 4*l + 6*l + 382*l**4 to the form j*l**2 + y*l + x*l**3 + k + b*l**4 and give x.
-25
Express 594 - 3315 + i - 251 in the form r*i + f and give f.
-2972
Rearrange (-2692*b - 5635*b - 1217*b + 983*b)*(1 - 1 + 5*b) to the form d*b + g + k*b**2 and give k.
-42805
Express (28 - 28 - 29*k)*(-4*k + k + 2*k) + 135 + 261*k**2 - 135 - 3 + k**2 + 3 in the form f*k**2 + m + s*k and give f.
291
Rearrange -65*y**3 + 4 - 2 - 3 - 15376*y - y**2 + 15377*y to g*y**3 + w + n*y + r*y**2 and give w.
-1
Express 3 - 96*p + 105*p - 5 + 136*p in the form t*p + r and give r.
-2
Express (-28 - 11 + 9)*(2*q**3 - 4*q**2 + 4*q**2)*(q - 4 + 4)*(6 - 12 - 5) in the form m*q**2 + b + w*q**3 + t*q**4 + f*q and give t.
660
Express -28154*m**4 + 14062*m**4 - m**3 - 43*m**2 + 2*m + 14058*m**4 in the form o*m**4 + g + w*m + l*m**2 + j*m**3 and give g.
0
Rearrange -144*h**4 + 8*h**2 + 261*h**4 - 2*h**3 - 129*h**4 + (0*h - h - h)*(-2*h**3 + 0 + 0) to the form q*h**3 + a + c*h**2 + m*h + f*h**4 and give f.
-8
Express (4*m - 2*m - m)*(-223*m + 469*m + 10*m**2 - 12 - 245*m) in the form j*m**2 + v*m**3 + y*m + r and give j.
1
Express ((-1 + 7 - 3)*(-5 + 4 + 6) + 0 + 2 - 1)*(-3*i**2 + 9 - 9) + 15*i - 2*i**2 - 7*i - 10*i in the form k*i**2 + j*i + f and give j.
-2
Rearrange -28*f**3 - f**2 + 30*f**3 + 5*f**2 - 5*f - 1 + 2*f**2 + 5*f**2 to the form x + r*f**3 + b*f**2 + a*f and give b.
11
Express (n**2 + 2*n**2 + 0*n**2)*(94452 - 3077*n - 94452) in the form r*n**3 + a*n + u + y*n**2 and give r.
-9231
Express 81*y + 1261*y + 1803*y - 7*y in the form d*y + a and give d.
3138
Express 16*s + 754 + 550 - 15*s + 3139 in the form x + l*s and give l.
1
Express -2 - 2601*v**4 + 3*v**2 - 32*v**4 - 4520*v**4 - 2*v - 3*v**2 as w*v + b*v**2 + d*v**3 + z + t*v**4 and give t.
-7153
Express -6914*p + 13*p**2 - 6*p**2 + 7062*p as r*p**2 + m*p + z and give r.
7
Express (-5 + 5 + u)*(-2*u + 2*u + 2*u) - 5*u**2 - 2321 + 4451 - 2*u - 2320 + (4*u + 0*u - 2*u)*(-1 + u + 1) in the form h*u + l + z*u**2 and give l.
-190
Express 1003*i**2 + 100*i - 195*i - 1 + 96*i as n*i**2 + y + b*i and give y.
-1
Express (-2 - p**2 + 2)*(-2*p - 5*p + 5*p) + (0*p + 5*p - p)*(206*p**2 + 133*p**2 - 116*p**2) in the form a + w*p**3 + v*p**2 + n*p and give w.
894
Rearrange 24*w**2 - 19*w**2 + 16*w**2 + 92*w**2 - w**2 - 345*w**2 + (3 - 3 - 2*w)*(-4*w + 5*w + w) to the form t*w + z*w**2 + f and give z.
-237
Express (j - 1 + 1)*(5*j**2 - 2*j**2 - 2*j**2)*(4549*j + 3 + 4547*j + 4318*j + 277*j) in the form v*j + m*j**3 + f*j**4 + l + p*j**2 and give f.
13691
Rearrange 42324*k**2 - 42323*k**2 + 2*k**3 + k**3 + 58*k to j*k**3 + r + s*k**2 + h*k and give j.
3
Rearrange -10983 + 9938*y + 5488 + 5495 to w + o*y and give w.
0
Express (-24 + 66 + 90)*(i + 1 - 1)*(-67*i - 56*i + i)*(5*i - 5*i + 2*i) as r*i**2 + u*i + a + w*i**3 and give w.
-32208
Rearrange 330*t**2 - 186*t**2 + 2*t - 269*t**2 + 3*t**3 - 4*t - t**3 to the form j + m*t**3 + l*t**2 + r*t and give m.
2
Express -26*d - 119*d**2 + 1 - 1 - 65*d**2 + 144*d**2 in the form p*d + u*d**2 + n and give p.
-26
Express (-2*f - f + 0*f)*(-1325*f - 701*f + 392*f) in the form b + g*f + u*f**2 and give u.
4902
Rearrange -5582486*u + 5582484*u - 24 - u**2 + 2*u**2 - 9*u**2 to h*u + v + k*u**2 and give k.
-8
Express 964*u**3 + 968*u**3 + 24 - 1855*u**3 in the form y*u**3 + m + z*u**2 + l*u and give l.
0
Rearrange (-602 - 798 + 1998)*(z - 3 + z - z) to u + q*z and give u.
-1794
Rearrange (-4 + 4 - 9)*(7*t + 0 + 0)*(27*t + 25*t - 15*t) to u + w*t**2 + i*t and give w.
-2331
Express 79613*b + 4445*b**2 - 79613*b + 2 in the form n*b**2 + i + z*b and give z.
0
Rearrange -3*w - 8 + 0*w - w**3 - w**2 + 1 - 3 + 7*w**2 to the form u*w + i*w**2 + m + y*w**3 and give u.
-3
Express -3 + 36*z - 258*z**2 + 185*z**2 + 5 - 3 + 148*z**2 as i*z**2 + t + q*z and give i.
75
Express 379*y**3 + 248*y - 478*y + 64*y**3 + 12*y**4 + 231*y as p + l*y**4 + z*y**3 + s*y**2 + c*y and give l.
12
Express 2 + 8*b**3 + 540*b + 546*b - 2*b**4 + b**4 - 1083*b + 10*b**2 - 20*b**3 as w*b + s*b**2 + i + x*b**3 + j*b**4 and give j.
-1
Rearrange (-48*q - 29*q**3 + 48*q)*(-82 + 48 - 16) to the form r + y*q**3 + u*q**2 + i*q and give y.
1450
Rearrange -71*w + 20*w + 22*w + 27*w - 900*w**2 to the form p*w + q + g*w**2 and give p.
-2
Express (2 - 2 + 2*f)*(f**2 - 4*f**2 + f**2) - 1086*f**2 + 161 + 1090*f**2 - 39*f - 160 + 3*f**3 as z*f**3 + l*f**2 + h + m*f and give z.
-1
Express 0*v**2 - 4*v**2 + 5*v**2 + (2*v**2 + 0 + 0)*(0 - 1 - 2) + 4663*v**2 - 8340*v**2 + 7579*v**2 in the form x*v + w + m*v**2 and give m.
3897
Express -18771*k**3 + 0*k + 30*k**2 + 18762*k**3 + 4*k - 24*k**2 in the form b*k**3 + u*k + n + p*k**2 and give b.
-9
Express -2*m**4 + 187*m**2 - 13*m + 17 + 12*m - 1 - 188*m**2 as s*m**2 + r*m + t*m**3 + q + o*m**4 and give s.
-1
Express -3*y**2 + 176225*y - y**3 - 176370*y + 6*y**2 in the form p*y**2 + v*y + x + o*y**3 and give v.
-145
Rearrange -4692*l - 66 + 72 - 6 + 556*l to x + j*l and give j.
-4136
Express (-2*p + 6*p - 2*p)*(230*p**2 + 160*p**2 - 580*p**2) in the form x*p**3 + z*p + q + f*p**2 and give x.
-380
Rearrange (0*l - 3*l - 14*l)*(-870*l + 870*l + 165*l**2) to the form p + r*l**2 + y*l + i*l**3 and give i.
-2805
Express 12*j**2 + 868*j**3 + 21*j**2 - 28*j**2 - 67*j**3 in the form b*j**2 + v*j**3 + m*j + a and give b.
5
Rearrange (0 - 5 + 4 + i)*(6539*i - 2111*i - 1427*i - 1 - 1968*i) to the form z*i**2 + s + n*i and give n.
-1034
Express -5418*z - 4*z**2 + 5418*z + (-2*z + 0*z + z)*(1439 - 1439 + 48*z) in the form y*z + s + q*z**2 an | {
"pile_set_name": "DM Mathematics"
} |
q) be the first derivative of q**2/2 - 1. Let p = 8112 + -8102. Calculate x(p).
10
Let g(p) = 3025 + 51*p - 2984 - 99*p + 61*p. Give g(-6).
-37
Suppose 4*s = s. Suppose -3 = -q - s*q. Let i(h) = -11*h + q*h - 4*h**2 + 3*h**2 + 4*h. What is i(-2)?
4
Let a(w) = 662*w + 1998. Let y be a(-3). Let h(b) = -b**2 + 8*b + 36. Determine h(y).
-12
Let d = 9903 - 9900. Let v(i) = i**2 - 80*i + 237. Calculate v(d).
6
Let r = 170 - 513. Let l = r - -348. Let p(q) = q**3 - 6*q**2 + 3*q + 7. Determine p(l).
-3
Let v(y) = -17*y**2 + y**3 - 216 - 215 + 24*y + 518. What is v(15)?
-3
Let l(g) = g**3 + 26*g**2 + 3*g + 82. Suppose -5*c - o + 46 = 183, -3*c = 4*o + 106. What is l(c)?
4
Let q(r) = 7*r**3 - 13*r**2 - 3*r + 39. Let d(h) = 2*h**3 - 5*h**2 - 2*h + 13. Let u(m) = -10*d(m) + 3*q(m). Calculate u(-10).
-23
Let l(m) = 38*m**3 + m**2 + 2*m + 2. Suppose 0 = z + 1, 16*z - 12*z = -2*w - 6. Determine l(w).
-37
Let x(j) = -8*j**3 - 57*j**2 + 58*j + 17. Let w(b) = -11*b**3 - 85*b**2 + 91*b + 25. Let z(k) = 5*w(k) - 7*x(k). Determine z(24).
30
Let h(s) be the first derivative of -s**3/3 - s**2/2 + 7*s + 2. Suppose -5 = 156*d + 14 - 19. What is h(d)?
7
Let z be 110/7 - (-3060)/2380. Let l(g) = 2*g - 42. What is l(z)?
-8
Suppose -24*m = -172 + 155 + 209. Let p(i) = i**2 + 6*i + 13. What is p(m)?
29
Let k(b) = -2*b**2 - b + 2. Suppose -5*y + 65 = 4*j, -21*j + 3*y = -19*j - 27. Suppose 0 = -v - 3*i - 8, -v + 3*v = -2*i. Let s be (v - 70/j)*3. Give k(s).
-4
Let s(x) be the second derivative of x**4/12 + 13*x**3/3 + 79*x**2/2 + 57*x + 17. Give s(-21).
-26
Suppose 80 = 249*v - 169. Let p(i) = 61*i + 1. Give p(v).
62
Let x be (-2 + 28/7)/((-2)/(-12)). Let h(m) = -2 - 5*m**3 + 0*m**3 - m**2 + x*m**3 - 4*m**3. What is h(2)?
18
Let d(r) = r**3 - 3*r**2 - 4*r - 7. Suppose 41*a - 135 = 26*a. Let m(b) = 4*b**3 - 11*b**2 - 15*b - 28. Let n(s) = a*d(s) - 2*m(s). Calculate n(6).
-7
Suppose 32 = -4*j - n, 3*n + 48 = -4*j - 2*n. Let a(p) = p**3 - 7*p**2 + 4. Let r be a(7). Let m(u) = -r*u + 2*u - u - 8. What is m(j)?
13
Let w(u) = -u**2 + 3*u + 16. Let t(j) = -j**2 - j + 6. Let y(h) = 2*t(h) - w(h). Let g = -5 + 8. Suppose g + 12 = -3*d. Calculate y(d).
-4
Suppose 76*i = 78*i + 16. Let v(d) be the first derivative of d**4/4 + 8*d**3/3 + d**2 - 10*d - 16. Calculate v(i).
-26
Let t(c) = c**3 + 14*c**2 - 8*c - 4. Let w(x) = -12*x - 35 + 52*x + 54 - 72*x**2 - 6*x**3. Let h(o) = 11*t(o) + 2*w(o). Give h(9).
3
Suppose 3*n - 168 = -9*n. Let s(i) = i**3 - 13*i**2 - 13*i + 10. Let u be s(n). Let o(y) = -20 - 19 - y**2 + y + 65 - u. Determine o(3).
-4
Let g(a) = -a**3 + 10*a**2 - 14*a - 11. Let p be g(7). Let w(s) = -5 - 2*s + 3 + s**2 + p*s**3 - 39*s**3 + s**2. Calculate w(-2).
18
Let o be ((-138)/(-276))/(2/(-140)). Let a(y) = -y**2 - 37*y - 58. Determine a(o).
12
Let a(h) = -h**2 + 6*h + 6. Let u be -5*2/15 + 202/(-3). Let y = -53 - u. Let r = 21 - y. Give a(r).
6
Let s(q) be the third derivative of -1/24*q**4 - 4/3*q**3 - 65*q**2 + 0*q + 0. Calculate s(-5).
-3
Let q(y) = 3*y + 56. Suppose -4*a + 20 = 0, -14*b + a + 50 = -19*b. Determine q(b).
23
Let o(k) = 16*k**3 + 66*k**2 + 11*k + 76. Let m(h) = -3*h**3 - 11*h**2 - 2*h - 15. Let f(x) = -11*m(x) - 2*o(x). What is f(10)?
-87
Let s(z) be the third derivative of -z**7/840 - z**6/60 + z**5/15 - 63*z**3/2 - 2*z**2 + 3. Let q(i) be the first derivative of s(i). Determine q(-6).
-48
Let k(g) = 3*g - g**2 + 0*g**2 + 2*g + 5*g. Suppose -6*y - 3*r = -2*y - 4, -5*y - 5*r = 0. Suppose -2*s - 2*s + 30 = -2*x, y*x + 33 = 5*s. Give k(s).
9
Suppose -5*i - 3426 + 3441 = 0. Let f(y) be the first derivative of 35 + 3/4*y**4 - y - y**2 - 1/3*y**i. What is f(-1)?
-3
Let s(l) be the second derivative of l**5/60 + l**4/8 + l**3 - 17*l**2 - 235*l. Let m(u) be the first derivative of s(u). Give m(-5).
16
Let c(y) be the first derivative of y**4/12 + 7*y**3/6 - 366*y + 337. Let n(d) be the first derivative of c(d). Suppose -2*x - 21 = x. Determine n(x).
0
Let f be (-25)/6 - -4 - (-2044)/24. Suppose -55 = 6*c - f. Let k(m) = m - 11. Let b(h) = h - 12. Let v(y) = -5*b(y) + 6*k(y). Give v(c).
-1
Let n(i) = 97*i - 314*i + 37 + 108*i + 104*i. Give n(15).
-38
Let d(v) = 1 + 1 - 138*v + 212*v - 110*v. Let h(z) = 13*z - 1. Let m(x) = 4*d(x) + 11*h(x). Calculate m(3).
-6
Let b(n) = -n**3 - 18*n**2 - 67*n - 23. Let z be b(-13). Let j(y) = 5*y**2 - y - 2. Give j(z).
40
Let d(b) = 2*b - 10. Let z(u) = 4*u - 21. Let y(w) = -18*w - 5. Let a be 32/(-24) + (0 + 2)/6. Let m be y(a). Let l(s) = m*d(s) - 6*z(s). Give l(-5).
-14
Let c = -394 - -402. Let x(b) = c*b + 7*b - 5 + 4*b - 16*b. Calculate x(-6).
-23
Let x(m) be the second derivative of m**5/20 - 3*m**4/4 - 5*m**3/2 - 2*m**2 + 75*m - 15. Calculate x(-2).
-18
Suppose 4*u = 4*g + 48 + 20, 3*u - 5*g = 49. Let j(h) = -11 + h - h**2 - 6 + u - 13. Let i(t) = 3*t**3 - 4*t**2 - 6*t + 4. Let k be i(2). What is j(k)?
-12
Let f be 0*(5/(-35) - 18/21). Let u(q) = -q**2 - 4 + 4 - 3*q + 5 + f*q. Determine u(-6).
-13
Let t(q) be the third derivative of q**4/3 - 125*q**3/6 + 49*q**2. Let b be t(15). Let g(d) = -d**3 - 5*d**2 - 8. Calculate g(b).
-8
Let d(p) = 3*p + 21. Suppose 0 = 5*n + 5*b + 20, -n + 2*n - 2 = b. Determine d(n).
18
Let o(f) = f**2 - 10*f - 41. Let j be (6/(-9))/((-111)/2331). What is o(j)?
15
Suppose -4*i = 4, 0*a + 3*i - 32 = 5*a. Let r(g) be the third derivative of g**4/24 + 5*g**3/6 + g**2 - 23*g. Determine r(a).
-2
Let s(i) = -i**3 - i**2 + 5. Let x be s(0). Let w = 985 - 981. Let l(y) = -2*y - 3*y + 1 - x*y**2 + w*y**2. Calculate l(-5).
1
Let j(n) be the second derivative of -n**4/6 + 4*n**3/3 - 2*n**2 - 6*n - 156. Suppose m + 32 = 5*m. Let r = m - 3. Determine j(r).
-14
Let b(w) = -w**3 + 3*w**2 + 6*w - 19. Suppose 1205 + 1423 = 438*z. What is b(z)?
-91
Suppose -2891 = -17*w + 1308. Let f = -243 + w. Let c(j) = -7*j - 7. Let l(x) = -4*x - 4. Let o(a) = 3*c(a) - 5*l(a). Determine o(f).
-5
Let o(q) = 3*q - 17. Let d(n) = -4*n + 25. Let r(z) = -5*d(z) - 7*o(z). Let s(l) = -l - 3. Let t(k) = -6*r(k) + 11*s(k). Let f = -327 + 329. What is t(f)?
-7
Let q = 84 - 21. Let o = q + -54. Let t(k) = -4*k + 39. Let n be t(o). Let z(f) = f**3 - 2*f**2 - f - 4. What is z(n)?
2
Let h(a) = 2*a - 7*a**2 - a**3 + 5 + 4*a**2 - 2. Let g be 5/((-280)/(-248)) - 6/14. Suppose -3*k = -2*u, 0 = g*k - 0*k - 3*u - 1. Determine h(k).
-5
Suppose -4*r - 4*u + u = -5, 4*r + 5*u = 3. Suppose -r = 9*k - 20. Let p(b) = 3 + k + 4 + b. Give p(-4).
5
Let q(y) = 5*y**3 + 10*y**2 + 4. Let o(b) = -4*b**3 - 10*b**2 - 3. Let n be (2 + (-4)/3)/((-1)/(-9)). Let w(d) = n*o(d) + 5*q(d). Calculate w(10).
2
Let l = 8354 - 8350. Let k(n) = -4*n - 1 + 4*n - n + 6. Determine k(l).
1
Let f(u) = u**3 - 10*u**2 - 10*u - 3. Suppose -2*r = -4*g + 60, -r - 3 = -7. Suppose 8*o = -g + 105. Calculate f(o).
8
Let u(z) = z**3 + 7*z**2 + 9*z - 7. Let l(g) be the third derivative of -g**5/60 + 11*g**4/12 - 39*g**3/2 + 115*g**2. Let c be l(14). Give u(c).
-2
Let q(c) be the third derivative of -c**4/8 - 2*c**3/3 - 59*c**2. Let m be q(-1). Let v(n) = 33*n**2 - 1. Give v(m).
32
Let v(b) = -47*b + 89. Let a(m) = 122*m - 267. Let s(h) = 3*a(h) + 8*v(h). Calculate s(-8).
-9
Let l be (8 - 244/(-16)) + (-3)/(-4). Let t(n) = -26*n**3 - l*n**3 - 3 + 77*n**3 - 29*n**3 + 6*n. Calculate t(2).
-7
Let q(y) = -y**3 - 9*y**2 - 15*y + 12. Let b be 18/(-21) - 3168/616. Calculate q(b).
-6
Let f(s) = s - 4. Suppose -4 = -t - 1. Let k = -426 + 442. Suppose t*b + 7 = k. Calculate f(b).
-1
Let v = -9 + 4. Let z(p) = -5*p - 17. Let a(s) = -2*s - 1. Let d(o) = -a(o) + z(o). Let n be d(v). Let w(y) = -10*y**2 + y. Give w(n).
-11
Suppose -75*f - 328 - 162 = 35. Let h(a) = -a**3 - 6*a**2 + 7*a - 4. What is h(f)?
-4
Let u(b) = b**3 - 4*b**2 - 11*b + 14. Let d be u(6). Let o be (-12)/16 - (-15)/d. Let r(l) = 6 + 4*l - 14 + 8 - 3*l. Determine r(o).
0
Let y(o) be the second derivative of -13*o**3/6 - 20*o**2 + 2*o - 542. Determine y(-3).
-1
Suppose -111 - 243 + 74 = -20*d. Let o(v) = 2*v - 31. Calculate o(d).
-3
Suppose -2*x + 3*g + 158 = 0, 4*x + 3*g = -0*x + 298. Let w(j) = x - 31 - 19 - 25 + j. Give w(3).
4
Let h(i) = -3*i**2 + i. Let k(x) = 53*x - 3. Let z be k(3). Let l = -154 + z. What is h(l)?
-10
Let s(x) = x**2 - 42*x - 53*x - 24 - 45*x + 127*x. Give s(11).
-46
Let s(h) = h**2 - 6*h - 5. Let z be s(9). | {
"pile_set_name": "DM Mathematics"
} |
-16, 0, 1, 5
Put 36, -190, 0.4, -1 in ascending order.
-190, -1, 0.4, 36
Sort -3, -2, -15, 154, -10.
-15, -10, -3, -2, 154
Put 2/7, 39.9, 10/113, -1 in descending order.
39.9, 2/7, 10/113, -1
Sort 25, -0.5, -42, 0.5 in descending order.
25, 0.5, -0.5, -42
Put -9, 0, 5, 4, -4, 34 in decreasing order.
34, 5, 4, 0, -4, -9
Sort 22, -2/3, -167.
-167, -2/3, 22
Put -4, 3, 20 in ascending order.
-4, 3, 20
Sort 1/3, 2/65, 3, -3.
-3, 2/65, 1/3, 3
Sort 2/1411, 1.17, 1.
2/1411, 1, 1.17
Sort 1/2, 15, 0, -432/13 in descending order.
15, 1/2, 0, -432/13
Put -338, -5, 16 in increasing order.
-338, -5, 16
Put 0, -2, 5, -5243, 2 in decreasing order.
5, 2, 0, -2, -5243
Put -1/4, 5, -32, 1/3, 170, -1/11 in descending order.
170, 5, 1/3, -1/11, -1/4, -32
Sort 1/2, 0.4, -0.2, 1.84 in decreasing order.
1.84, 1/2, 0.4, -0.2
Sort -2/49, -3, 0, 39, -5/2, -5 in descending order.
39, 0, -2/49, -5/2, -3, -5
Sort 3/11, -24, -1, -2/9.
-24, -1, -2/9, 3/11
Sort 25, 0, -1, 3, 5 in ascending order.
-1, 0, 3, 5, 25
Put -7, -5, 74 in decreasing order.
74, -5, -7
Put 9825, -2, -1 in increasing order.
-2, -1, 9825
Put -238, -2/5, -1693 in decreasing order.
-2/5, -238, -1693
Sort -4, -0.11, 26, 0, -0.5, 0.7.
-4, -0.5, -0.11, 0, 0.7, 26
Sort -2085, 1, -7.
-2085, -7, 1
Put -3, 43, 5, -1269 in descending order.
43, 5, -3, -1269
Sort 1, -1726, 51, 2 in ascending order.
-1726, 1, 2, 51
Put -0.22, 75, 9/5 in increasing order.
-0.22, 9/5, 75
Sort -88, 7, -5, -73, -12 in increasing order.
-88, -73, -12, -5, 7
Put 5, 3689, -5, -6 in descending order.
3689, 5, -5, -6
Put -2/77, 2/13, 216.1 in descending order.
216.1, 2/13, -2/77
Put 4, -68, 0.1 in descending order.
4, 0.1, -68
Put 3, 5.9, -506, 2/21 in increasing order.
-506, 2/21, 3, 5.9
Sort -14, -2, 141, -4, 0 in decreasing order.
141, 0, -2, -4, -14
Sort -8.1, -4, 5, -1/4 in descending order.
5, -1/4, -4, -8.1
Put -4, -506, 25, 3, 5, -5 in descending order.
25, 5, 3, -4, -5, -506
Sort 681, -631, 1, 0 in ascending order.
-631, 0, 1, 681
Sort 0.1, -31/2, -2/5, -4 in increasing order.
-31/2, -4, -2/5, 0.1
Put 3, -1/2, 9, 0.0579, -1/12 in ascending order.
-1/2, -1/12, 0.0579, 3, 9
Put -11, -4, 5/13, -2, 4 in ascending order.
-11, -4, -2, 5/13, 4
Sort -0.15, -0.2, -1/25, 15 in increasing order.
-0.2, -0.15, -1/25, 15
Put 3482, 3, 4, 1 in increasing order.
1, 3, 4, 3482
Put -0.08, -87.1, -8 in descending order.
-0.08, -8, -87.1
Sort -6/41, -0.1, -7, -1, -3 in increasing order.
-7, -3, -1, -6/41, -0.1
Put 6/7, 0, -4, -0.2, -2 in descending order.
6/7, 0, -0.2, -2, -4
Put -2, 60, -1, 8, 5 in increasing order.
-2, -1, 5, 8, 60
Sort 1, -511, 0, -5 in increasing order.
-511, -5, 0, 1
Put 5, -252, -145, 1 in decreasing order.
5, 1, -145, -252
Sort -0.05, -66/17, -6/11 in descending order.
-0.05, -6/11, -66/17
Sort 2, 7, 2661.
2, 7, 2661
Sort 3, 2, -2, -63, 0, 2/7 in ascending order.
-63, -2, 0, 2/7, 2, 3
Sort -26, 24, 4 in ascending order.
-26, 4, 24
Put -0.4, 0, -4, 2/95, -2, 2/3 in decreasing order.
2/3, 2/95, 0, -0.4, -2, -4
Put -4, -1, 20, -3, -11 in increasing order.
-11, -4, -3, -1, 20
Sort 11, 4, -44418.
-44418, 4, 11
Put -5, -482, 14 in descending order.
14, -5, -482
Sort -1226, -3, -160, 0 in decreasing order.
0, -3, -160, -1226
Sort 7, -4, -5, 0, 14, 2 in increasing order.
-5, -4, 0, 2, 7, 14
Sort -0.2, -5, 0.0798 in increasing order.
-5, -0.2, 0.0798
Put -1/44, 334, 0.5 in increasing order.
-1/44, 0.5, 334
Sort -20, -4, -35, -5, 4 in increasing order.
-35, -20, -5, -4, 4
Sort -12, 4, -3, 0.27 in increasing order.
-12, -3, 0.27, 4
Sort 126, -5, -3, 11, 4, 5 in descending order.
126, 11, 5, 4, -3, -5
Put 3164, 4, 3 in descending order.
3164, 4, 3
Sort -1, -0.3, 4, 34, 1/9 in ascending order.
-1, -0.3, 1/9, 4, 34
Sort -1/4, -3/4, -5, -17418 in decreasing order.
-1/4, -3/4, -5, -17418
Sort -2/7, -22, 0.4, 30 in decreasing order.
30, 0.4, -2/7, -22
Sort 0.2, -473, -13/89.
-473, -13/89, 0.2
Sort 1/6, 9, 1/7, -4, -1350.
-1350, -4, 1/7, 1/6, 9
Put 27, -4, -2, 0 in decreasing order.
27, 0, -2, -4
Put -3, 4, 3, 784, 19 in increasing order.
-3, 3, 4, 19, 784
Put -2/21, 4, -137, 0.3, 0.1 in increasing order.
-137, -2/21, 0.1, 0.3, 4
Sort 2, 1, -1, 4, 16, 179 in decreasing order.
179, 16, 4, 2, 1, -1
Put -29875, -2, 4 in ascending order.
-29875, -2, 4
Sort -104, -5, -55 in ascending order.
-104, -55, -5
Sort -3, -295, 4, 5, 0, 2 in increasing order.
-295, -3, 0, 2, 4, 5
Put -0.04, -16/7, -3/7, -1/116 in descending order.
-1/116, -0.04, -3/7, -16/7
Sort 16, 2/9, -1.8, -5/4, 0.
-1.8, -5/4, 0, 2/9, 16
Sort 69, 3, 1/6, -2/199 in descending order.
69, 3, 1/6, -2/199
Put 2, 20807, -2 in descending order.
20807, 2, -2
Put -522, -2, -130 in descending order.
-2, -130, -522
Sort -293.3, -10/21, 5.
-293.3, -10/21, 5
Sort -4, 12, -2, -78, 4 in descending order.
12, 4, -2, -4, -78
Sort -4/7, 1, -54/7, -0.258 in descending order.
1, -0.258, -4/7, -54/7
Sort -123858, 5, 3.
-123858, 3, 5
Put -5, -3, -3693, -2 in descending order.
-2, -3, -5, -3693
Put 30, 3, -4, -1.2 in ascending order.
-4, -1.2, 3, 30
Put -3, -0.9, -32.8 in ascending order.
-32.8, -3, -0.9
Put -2, 2, 10, 4, 93 in ascending order.
-2, 2, 4, 10, 93
Put 4, -399, -5/7, 1 in decreasing order.
4, 1, -5/7, -399
Sort 517, 1, -6, 4.
-6, 1, 4, 517
Put -89, -3/25, -3, -0.2 in increasing order.
-89, -3, -0.2, -3/25
Sort 6, 3.6, -16/7, 1/12, 0.1 in decreasing order.
6, 3.6, 0.1, 1/12, -16/7
Put 3, -7, 106, -0.1, 13 in ascending order.
-7, -0.1, 3, 13, 106
Put -11, 3, 0, -1, -5, 15 in decreasing order.
15, 3, 0, -1, -5, -11
Put -0.1, -4, 191, -1/2 in ascending order.
-4, -1/2, -0.1, 191
Put 2, -4, 47189 in descending order.
47189, 2, -4
Sort 290, -1, 4, 2, -3, -4 in ascending order.
-4, -3, -1, 2, 4, 290
Put 5, 706, -4 in ascending order.
-4, 5, 706
Sort 1, 4, 6/7, 3, -2.812 in descending order.
4, 3, 1, 6/7, -2.812
Sort -110, -4, 3, 36, 1 in ascending order.
-110, -4, 1, 3, 36
Sort 2951, 19, 3 in decreasing order.
2951, 19, 3
Put 1, -1, 8.554, -0.5, 0.2 in decreasing order.
8.554, 1, 0.2, -0.5, -1
Put 59, 0, 5, -6, 11 in increasing order.
-6, 0, 5, 11, 59
Sort -7, 0, 3, 2, 4.
-7, 0, 2, 3, 4
Sort -3, -1.9, 2/11, 789.
-3, -1.9, 2/11, 789
Sort 3, 5, -5, -4, -9, 200 in decreasing order.
200, 5, 3, -4, -5, -9
Sort -3240, -85, -3 in descending order.
-3, -85, -3240
Sort -12, -101, -4 in decreasing order.
-4, -12, -101
Sort -2, 1, -1/461, 4 in increasing order.
-2, -1/461, 1, 4
Put -943952, -3, 5 in descending order.
5, -3, -943952
Sort -3, 2, 0, -1, 504 in ascending order.
-3, -1, 0, 2, 504
Sort 295, 10, 2, -5.
-5, 2, 10, 295
Put -228, -30, -4 in decreasing order.
-4, -30, -228
Put -7, -2, -678, 1, -10 in ascending order.
-678, -10, -7, -2, 1
Put -170, -4, -82 in increasing order.
-170, -82, -4
Sort -4, 11, -3, -24, 0, 4.
-24, -4, -3, 0, 4, 11
Put 2, -0.11, 0, 90, -2/3, 2/3 in decreasing order.
90, 2, 2/3, 0, -0.11, -2/3
Sort -4, -41, 100.
-41, -4, 100
Put -9437, 2/5, -27 in ascending order.
-9437, -27, 2/5
Sort 9, -365, -3, 3 in decreasing order.
9, 3, -3, -365
Put -2/11, 5, 0.1, -408, -168 in decreasing order.
5, 0.1, -2/11, -168, -408
Sort 2, -5001, 12 in decreasing order.
12, 2, -5001
Sort -2, 4, -4, 5, -9 in descending order.
5, 4, -2, -4, -9
Sort -0.2099, 4/7, -2, 2/3 in decreasing order.
2/3, 4/7, -0.2099, -2
Sort -1, -216, 0.3, 2/9, 5 in decreasing order.
5, 0.3, 2/9, -1, -216
Sort -64, 5741, -1 in descending order.
5741, -1, -64
Sort 3, -346, -915 in descending order.
3, -346, -915
Sort 5, 0, -4, -84.
-84, -4, 0, 5
Sort -0.1, -10, 0.38, 0.03, -3.
-10, -3, -0.1, 0.03, 0.38
Sort -4, -59, -2, 4, 3, 27 in decreasing order.
27, 4, 3, -2, -4, -59
Put -32, 29, 104 in increasing order.
-32, 29, 104
Sort -1/3, -4/3, -2975/13 in descending order.
-1/3, -4/3, -2975/13
Put -1/9, -5, -2, -9, -1/5, -75.4 in decreasing order.
-1/9, -1/5, -2, -5, -9, -75.4
Sort -17, 4409, -3.
-17, -3, 4409
Put 16, 650, -1, -2 in descending order.
650, 16, -1, -2
Put -1, -39, 26 in decreasing order.
26, -1, -39
Put 2, 1218425, 3 in decreasing order.
1218425, 3, 2
Sort -226, 99, -16 in decreasing order.
99, -16, -226
Put -4, 37/4, 14/23, 4/5, -0.3 in decreasing order.
37/4, 4/5, 14/23, -0.3, -4
Sort -0.3, -0.6, 4, 0.1, -1/5, 4/3.
-0.6, -0.3, -1/5, 0.1, 4/3, 4
Sort 5, 4, 59, 655, 1, -3.
-3, 1, 4, 5, 59, 655
Put -0.3, 151, -101 in increasi | {
"pile_set_name": "DM Mathematics"
} |
z = -6.3917252 + 6.3806. Let h = z - -0.02212684. Let x = h - 0.011. What is x rounded to seven dps?
0.0000016
Let f = 2219 - 2221.9384. Round f to 1 dp.
-2.9
Let a = 0.624 - -528.376. Let f = 343 - a. Let z = f + 185.9917. Round z to 3 dps.
-0.008
Let u = -74684 + 74626.453. What is u rounded to 0 decimal places?
-58
Suppose -o = 36*o + 53912700. Round o to the nearest 100000.
-1500000
Let m = 9122 - 9122.5829. What is m rounded to one dp?
-0.6
Let g = -0.029 + 212.029. Let q = -211.999724 + g. Round q to 4 dps.
0.0003
Suppose -192*w = -184*w. Suppose -3*p + 3*x + 2126994 = w, p + 0*p = 4*x + 708992. Round p to the nearest 10000.
710000
Let b(i) = -7*i + 97. Let w be b(-26). Let p be 15/(-2)*(-863040)/w. Round p to the nearest 10000.
20000
Let u(y) = 99696*y + 596. Let r be u(-1). Round r to the nearest ten thousand.
-100000
Let g = 195197 + 13703. Round g to the nearest one hundred thousand.
200000
Let g be 3*(4 - (4 + -1)). Let a(r) = -2 - 3 + 252002*r - g + 6. Let f be a(1). What is f rounded to the nearest 10000?
250000
Let l = -83.12334 + 44.123304. Let j = 86.4 + -47.4. Let q = l + j. What is q rounded to five decimal places?
-0.00004
Let i = 660.811776 + -660.8. Round i to three decimal places.
0.012
Let j = -16.36289 - -202.364438. Let u = -186 + j. Round u to four dps.
0.0015
Let x = -174.307528 - 0.139972. Let h = x - 0.2525. Round h to the nearest ten.
-170
Let i = -14847418424 + 14847419414.0000417. Let m = 442.7 - 1432.7. Let f = m + i. What is f rounded to 6 dps?
0.000042
Let p = -51 + 52. Let n be p/4 - (-10)/16*6. Suppose n*q + 180010 = 5*h, -5*q - 225010 = -8*h + 3*h. What is q rounded to the nearest 10000?
-50000
Suppose 0 = -3*u - 2*d - 13131588, 5*u = -5*d + 4*d - 21885994. What is u rounded to the nearest 1000000?
-4000000
Let r = -35.342956106 - -35.343. Round r to five decimal places.
0.00004
Let u = -0.0817 - 63.1183. Let x = u + 61.586. Round x to zero dps.
-2
Let c be (-822)/(18 + 181456/(-10080)). What is c rounded to the nearest ten thousand?
520000
Let u be -82 - -88 - (-2 + 2 - -5). Let t be 150/u*(-66749 - 51). What is t rounded to the nearest one million?
-10000000
Let b = 20 + -143. Let c = 123.00087 + b. Round c to four decimal places.
0.0009
Let d(s) = -1531*s - 66. Let t be d(19). Let b = -50655 - t. Round b to the nearest 10000.
-20000
Let d = -48 - -43. Let r be -3 - d - (-9810050 - -1). Suppose 0 = 4*i + 4*c + 33599996, -i = 4*c - 1410055 + r. Round i to the nearest 1000000.
-8000000
Suppose 5*r + 2203541 = 63*r - 9100659. Round r to the nearest 10000.
190000
Let z = -1686 + 1691.955. Let l = 7 - 1. Let q = l - z. What is q rounded to two decimal places?
0.05
Let b = -833663.499464 - -833653. Let y = 46 - 56.5. Let x = b - y. Round x to 4 dps.
0.0005
Let z = 1222.382 - 11.582. Round z to the nearest one hundred.
1200
Let j = 0 - 78. Let k = -1655159957 - -1655159878.99999844. Let z = k - j. What is z rounded to seven dps?
-0.0000016
Let d be -29728*(46 + -60)*(-1)/(-4) + -8. Round d to the nearest 1000.
104000
Let w = 0.04431 - 0.0443054031. Round w to 7 decimal places.
0.0000046
Let o be 17/(-102) - (-332)/(-24). Let y(b) = 10*b**3 + 20*b**2 + 19*b + 16. Let p be y(o). What is p rounded to the nearest one thousand?
-24000
Let k = 15035 - 15048.619. What is k rounded to the nearest integer?
-14
Let p = 1626282458758 + -1626282459041.0000006084. Let f = p + 283. What is f rounded to seven dps?
-0.0000006
Suppose 130*x = 134*x + 11924. Let j be (-1 - -1) + 2 - -2089. Let t = x + j. What is t rounded to the nearest one hundred?
-900
Let f = 1 - 2. Let p = f - -0.1. Let y = p + 0.90000095. Round y to 7 decimal places.
0.000001
Let s = -2511.4473893 - -1783.44737988. Let v = -15.15 - -743.15. Let n = v + s. Round n to six dps.
-0.000009
Let k = 210.047 + -210. Let y = 0.046998836 - k. Round y to 7 dps.
-0.0000012
Let w = -1.2 - -0.1. Let d = 1.100000692 + w. What is d rounded to seven decimal places?
0.0000007
Let g = 1276.140489 - 1276. Let h = g - 0.142. What is h rounded to four dps?
-0.0015
Suppose -2*b + 2804706 = -3*g, 0 = -117*b + 114*b + 9. Round g to the nearest one hundred thousand.
-900000
Let w = 77861.966 + -77777. What is w rounded to 0 dps?
85
Let x be -3 - (-8092600)/(-1 - -3). Suppose -35*c - x = 13348703. Round c to the nearest 10000.
-500000
Let c = 178 + -428. Let u = 580315040899 - 580315041148.999999813. Let j = c - u. What is j rounded to 7 dps?
-0.0000002
Let o = 18685 + -17890.1. What is o rounded to the nearest one hundred?
800
Let v = -243 + 230.9. Let j = -15 - v. Let b = j + 2.8824. Round b to three decimal places.
-0.018
Let l be 8/(2 - (-4 + 8)) - -6. Suppose 6 = 3*k - l*k. Suppose -k*p = 6*p + 84360. Round p to the nearest 1000.
-7000
Let n(k) = 529*k + 196. Let t be n(12). Suppose -18*z = -t + 119044. What is z rounded to the nearest one thousand?
-6000
Let g(t) = -8*t - 250. Let q be g(-31). Let v(n) = 644999*n**3 - n**2 + 8*n + 12. Let o be v(q). Round o to the nearest 100000.
-5200000
Let v(h) = -934*h + 6176. Let l be v(-47). What is l rounded to the nearest ten thousand?
50000
Let f = 39291 + -61737. Let m = -22735.18 - f. Let t = 292 + m. What is t rounded to 1 decimal place?
2.8
Let k be (3/(-18)*3)/((-1)/(-4)). Let z be 1*(-10)/4*(0 + k). Let s = z + -5. What is s rounded to six dps?
0
Let z = -7 + 8. Let p(r) = 5599994*r**2 - r + 1. Let v be p(z). Suppose 0 = -5*l + f - 7000002, -3*f = 5*l - l + v. What is l rounded to the nearest 100000?
-1400000
Let a = 348 - -112. Let m = 459.9998754 - a. What is m rounded to five dps?
-0.00012
Let d = -7873 - -7872.999038. What is d rounded to 5 decimal places?
-0.00096
Suppose -42*d + 50*d = -2963600. What is d rounded to the nearest ten thousand?
-370000
Let d = -7459592140.09999273 + 7459592084. Let r = -57.044 + 0.944. Let t = r - d. Round t to 6 decimal places.
-0.000007
Let b = 620.9341 + -621. Let z = b - -0.3529. Round z to 2 decimal places.
0.29
Let y = -83.102 + 83. Let v = -78.898 + y. Let i = v + 78.992. Round i to three decimal places.
-0.008
Let o = 10719285 - 6090285. Let i be 24/54*-15*o. What is i rounded to the nearest one million?
-31000000
Suppose -2*h - 2*f + 10 - 4 = 0, -f - 1 = -3*h. Let v be 16387/(-3) + h/3. Let y = v + 3162. What is y rounded to the nearest 1000?
-2000
Let q = -25959.9935553 - -25960. What is q rounded to 4 dps?
0.0064
Let s be (-7923930)/140 - (-2)/(-4). Let j be -200*-1*s/(-2). What is j rounded to the nearest one hundred thousand?
5700000
Let u = 15028.50344 + -15028. What is u rounded to three dps?
0.503
Let p = -351 + 355.13. Let w = p - 4.12999701. Round w to 7 dps.
0.000003
Let t = -0.1489 - 724.8511. Let l = -724.8395 - t. What is l rounded to 2 decimal places?
0.16
Suppose -3*q = -4*a - 8, q = 3*a + 2*a - 12. Suppose 0 = 3*u + 2*z + 8489994, q*z - 6*z - 2830006 = u. Round u to the nearest one hundred thousand.
-2800000
Let q = -2.64 - -0.14. Let k = 0.4887 - -1.9403. Let x = k + q. What is x rounded to 2 decimal places?
-0.07
Suppose 0 = 2*b - z + 6*z - 275856, 3*z - 413793 = -3*b. Let s = -91533 + b. Round s to the nearest ten thousand.
50000
Let k be 1265/66 - 20/(-24). Let y(q) = 281*q**3 - 17*q**2 - 11*q + 20. Let x be y(k). What is x rounded to the nearest one hundred thousand?
2200000
Let r be ((-3)/6)/((124/(-57240))/(-31)). Let a = r - -11485. Round a to the nearest 100.
4300
Let v = 0.0303 + -0.0201. Let d = -1.2002 + v. Round d to the nearest integer.
-1
Let y = 2912.0000007102 - 2912. What is y rounded to 7 dps?
0.0000007
Let h be 4/30 + 522/135. Suppose 4*k + 3001 = s, 0*k + h*k - 3*s = -3003. Let l be 9/(81/k)*-564. What is l rounded to the nearest ten thousand?
50000
Let x = 14071.7952 - 25378265.5952. Let m = 25364161.7999854 + x. Let r = m + 32. What is r rounded to six dps?
-0.000015
Let w = -53.1445 - -51.73. Let p = -1.36 - w. Let i = p - 0.04767. What is i rounded to 3 dps?
0.007
Let n = 38004.48553 - 38005. What is n rounded to 2 dps?
-0.51
Let b = -57.908746 + -0.086554. Let h = -58 - b. What is h rounded to three dps?
-0.005
Let r = 2380.86 + -2565.2. What is r rounded to the nearest integer?
-184
Let h = 10654.00018716 - 10654. What is h rounded to four dps?
0.0002
Let k = -5.63 + 1.13. Let o = k + 99.5. Let w = -93.17 + o. Round w to 1 dp.
1.8
Let f | {
"pile_set_name": "DM Mathematics"
} |
is p*i(g) + 6*n(g)?
-23*g + 1
Let s(w) = w**3 - w**2 - 1. Let u(f) be the second derivative of 6*f**5/5 - 8*f**4/3 - 16*f**2 - 365*f. Let q = -33 - -1. Calculate q*s(p) + u(p).
-8*p**3
Let g be 0/(-4) - (0 - 1). Let o(d) = -2*d**3 + 2*d**2. Let z be 6/(-4)*24/9. Let u(r) = -3 + 3 - 8359*r**2 + 8359*r**2 - r**3. Determine g*o(t) + z*u(t).
2*t**3 + 2*t**2
Let x(y) = y**3 - 11*y**2. Let t(m) = -129*m**3 + 165*m**2 + 60*m. What is t(l) + 15*x(l)?
-114*l**3 + 60*l
Let v = 2329 - 2332. Let f(p) = p**3 - p**2 + p. Let a(z) = z**3 - z**2 + z. Calculate v*f(l) + 2*a(l).
-l**3 + l**2 - l
Let h(w) = -4*w**2 + 4*w + 6. Let z(f) = 4*f**2 + 42*f + 5. Let j be z(-8). Let d = -69 - j. Let x(y) = 0*y - y + y**2 - 1 + 0*y**2. Determine d*x(q) + h(q).
2*q**2 - 2*q
Let x(u) = -1. Let y(v) = -2*v + 205. Let d(o) = -3*o + 273. Let g(p) = -3*d(p) + 4*y(p). Determine g(n) + 4*x(n).
n - 3
Let o be (3/(-5) - -1)*-15. Let r(y) = -8*y + 3. Let t(x) be the third derivative of -23*x**2 - 1/2*x**3 + 0 + 7/24*x**4 + 0*x. What is o*r(h) - 7*t(h)?
-h + 3
Let l be (-1)/2*(-1 - 1). Let a(j) = 1. Let r(v) be the second derivative of 2*v**3/3 - 15*v + 26. Determine l*a(w) + r(w).
4*w + 1
Let g(c) = -7*c - 3. Let v(u) = -30*u + 29. Let y(j) = 21*j - 21. Let b(o) = 5*v(o) + 7*y(o). Suppose 4*w + 20 = 8*w. What is w*b(i) - 3*g(i)?
6*i - 1
Let q(k) = -2*k + 5. Let d be q(5). Let y = -13 + 13. Suppose 2*g + 1 + 11 = y. Let c(b) = 2*b - 6. Let z(j) = -j + 5. Give d*c(r) + g*z(r).
-4*r
Let n(f) = 2*f + 22. Let u(c) = 2*c + 21. Let v be (-7)/2*888/(-518) + -4. What is v*u(r) - 3*n(r)?
-2*r - 24
Let l(i) = -1 + 3 - 1. Let f(y) = -24 + 25*y - 4*y - 3*y - 2*y**2 + 8 - 18. Let b be f(6). Let o(t) = -2*t + 3. Determine b*l(m) - o(m).
2*m - 1
Let r(j) = j**3 - 1. Suppose 6*v + 30 = -4*d, 46*d + 8 = -2*v + 45*d. Let x(f) = 4*f**3 + 2. Give v*x(c) - 3*r(c).
-7*c**3 + 1
Let j(y) be the second derivative of y**5/20 + y**4/6 - 2*y**3/3 - 5*y**2/2 + 2*y - 65. Let q(v) = -v**3 - 3*v**2 + 6*v + 7. Give -7*j(l) - 5*q(l).
-2*l**3 + l**2 - 2*l
Let r(s) be the first derivative of 5*s**4/2 + s**3 + 3*s**2/2 + 2*s + 6894. Let q(c) = 21*c**3 + 7*c**2 + 6*c + 4. Calculate -2*q(l) + 5*r(l).
8*l**3 + l**2 + 3*l + 2
Let w(k) = k - 12. Let u(m) = -72*m + 456. Give -u(o) - 36*w(o).
36*o - 24
Suppose 12*n + 10 = 17*n. Let b(f) = -10 + 14 + 3*f - f - 3 - 3*f. Let j(m) = -m**2. What is n*j(g) - b(g)?
-2*g**2 + g - 1
Let n(y) = 321*y**2 + 59*y + 9. Let i(o) = 2*o**2 + 10*o + 1. Determine 6*i(f) - n(f).
-309*f**2 + f - 3
Let y(g) = 1 - g**3 - 1 + 0*g**3 - 5. Suppose o + w + 6 = 7, -o - 2*w = 2. Let n = -6 + 9. Let f(a) = 2*a**3 + 6. Give n*f(u) + o*y(u).
2*u**3 - 2
Let y(s) = -18*s**3 + 415*s - 18. Let a(h) = 53*h**3 - 1245*h + 51. Calculate -6*a(b) - 17*y(b).
-12*b**3 + 415*b
Let k(x) = -28*x**3 - 2*x**2 - 3*x + 2. Let f(w) = -22*w**3 - w**2 - 2*w + 1. Let d(y) = 3*f(y) - 2*k(y). Let n(v) = v**3 + 1. What is -d(j) - n(j)?
9*j**3 - j**2
Let g = 258 - 238. Suppose 12*j + 16 = g*j. Let z(a) = a - 1. Let r(k) = -4*k - 1. Give j*z(m) + r(m).
-2*m - 3
Let f(c) = -11*c**2 - 9. Suppose 0 = 24*s + 36*s - 120. Let n(q) = -5*q**2 - 4. Give s*f(h) - 5*n(h).
3*h**2 + 2
Let u(a) = a**2 - 4*a + 1. Let c(h) = -5*h**2 - 2*h. Let i(t) = 26*t**2 + 9*t + 1. Let g(v) = -5*c(v) - i(v). What is 3*g(f) + u(f)?
-2*f**2 - f - 2
Let p(b) = 3*b**3 - 5*b**2 + 11*b + 11. Suppose -4*c + 3*a + 15 = 0, 303 = 4*c + 4*a + 267. Let f(t) = t**3 - t**2 + 3*t + 3. What is c*p(k) - 22*f(k)?
-4*k**3 - 8*k**2
Let b(f) = -15*f + 3. Let i(p) = 5*p - 1. Suppose 106*s + 1038 + 128 = 0. What is s*i(m) - 4*b(m)?
5*m - 1
Let l(p) = 8. Let s be 4/1 - (-4 - 209/(-19)). Let w(x) = -x + 17. Determine s*w(a) + 5*l(a).
3*a - 11
Let t(m) = 69*m**3 - m**2 + 6*m - 6. Let j(v) = 2*v**3 + v**2 - 2*v + 2. Give -6*j(o) - 2*t(o).
-150*o**3 - 4*o**2
Let g(x) = -12*x + 4. Suppose -230 = 28*j - 790. Let f(w) = -18*w + 45*w - 18*w + 4 - j*w - 1. Give 3*f(u) - 2*g(u).
-9*u + 1
Let z(s) = -12632*s. Let g(d) = -2640104*d. Determine -5*g(p) + 1046*z(p).
-12552*p
Let b(m) = 121*m**2 - 143*m + 143. Let o(l) = 5*l**2 - 6*l + 6. Let r = 1002 - 602. Suppose 6*i - r = -1258. What is i*o(k) + 6*b(k)?
11*k**2
Suppose -8*z = -41 + 1. Suppose 3 = 4*b - 17. Let i(d) = -5*d + 2*d - 3*d + b. Let t(w) = -9*w + 7. Give z*t(r) - 7*i(r).
-3*r
Let j(m) = 36*m**3 + 8. Let s(l) = -4*l**3 - 7*l**2 + 7*l + 3. Let u(y) = -y**3 - 2*y**2 + 2*y + 1. Let b(v) = 2*s(v) - 7*u(v). Calculate 8*b(t) + j(t).
28*t**3
Let h(y) = 3*y - 8*y**2 - 9*y**2 + 6 + 18*y**2 + 7. Let a(m) = m + 4. What is -7*a(q) + 2*h(q)?
2*q**2 - q - 2
Let f(v) be the second derivative of -v**3/3 - 10*v**2 - 3389*v. Let l(m) = -m - 10. Give -3*f(u) + 7*l(u).
-u - 10
Suppose -8*w + 2 = -2*x - 4*w, -2*x + 4 = -7*w. Let j(n) = -9*n**2 + n - 1. Let l(b) = 10*b**2 - b + 1. What is x*j(a) - 6*l(a)?
-15*a**2 + a - 1
Let v(f) = -2*f - 1. Let y(k) = 18*k + 34. Calculate -3*v(p) + y(p).
24*p + 37
Let f(d) = 75. Let a(j) = -2611. Let i(m) = -a(m) - 35*f(m). Let t(z) = z + 56. Determine 9*i(s) + 2*t(s).
2*s - 14
Let i(x) = x. Let p(f) = -7*f**2 + 2*f. Let o(a) = a**2 - a - 1. Let d be o(0). Let m be (-70)/(-5) - 20/60*36. Determine d*p(b) + m*i(b).
7*b**2
Let w(t) = -19*t**2 + 6*t + 6. Suppose 296 = -251*q + 328 + 1474. Let s(z) = 3*z**2 - z - 1. Give q*w(c) + 39*s(c).
3*c**2 - 3*c - 3
Let v(y) = -7*y**2 + 45*y - 47. Let c(i) = 20*i**2 - 134*i + 130. What is -6*c(f) - 17*v(f)?
-f**2 + 39*f + 19
Let w(c) = -947*c**2 + 4*c + 13. Let v(j) = -474*j**2 + 2*j + 6. What is 7*v(a) - 3*w(a)?
-477*a**2 + 2*a + 3
Let a(d) = d**2. Let n(m) = -242*m + 7745. Let v be n(32). Let z(x) = x**3 + 6*x**2 - 8. Determine v*z(s) - 6*a(s).
s**3 - 8
Let n(t) = -2*t + 3. Let x(w) = -34. Let g(j) = -2*j - 65. Let p(f) = -g(f) + 2*x(f). Suppose 5*l = -0*l + 30. Give l*p(y) + 7*n(y).
-2*y + 3
Let x(q) = -12*q - 1. Let t(y) = -929*y. What is t(i) - 2*x(i)?
-905*i + 2
Let w(b) = 4*b**3 - 9*b**2 + 12*b + 29. Let l(q) = 9*q**3 - 19*q**2 + 26*q + 59. Give -6*l(p) + 13*w(p).
-2*p**3 - 3*p**2 + 23
Let c(q) = -14*q**2 - 11*q - 9. Let b(l) = 7*l**2 + 5*l + 4. Let t be ((-43)/(29 - -57))/(-2 - 13/(-6)). What is t*c(g) - 7*b(g)?
-7*g**2 - 2*g - 1
Let i(n) be the third derivative of 355*n**5/6 + 71*n**4/8 - 71*n**3/2 + n**2 + n - 8. Let t(l) = 67*l**2 + 4*l - 4. Calculate 4*i(c) - 213*t(c).
-71*c**2
Let y(m) = -m**3 - 15*m**2 + 33*m - 8. Let o be y(-17). Suppose 0 = 13*d - 17*d - 8. Let f(p) = 3*p**2. Let j(w) = 13*w**2 - w - 1. Give d*j(s) + o*f(s).
s**2 + 2*s + 2
Let l(i) = -39*i - 406. Let u(f) = -48*f - 410. Give 6*l(w) - 5*u(w).
6*w - 386
Let n(j) = 3*j**2 - 300*j + 2. Let z(y) = -16*y**2 + 1499*y - 12. What is 11*n(f) + 2*z(f)?
f**2 - 302*f - 2
Let w = -14282 - -14284. Let r(j) = 9*j**2 + 4*j - 6. Let t(z) = -5*z - 2. Let q be t(1). Let l(o) = 3*o**2 + o - 2. Give q*l(d) + w*r(d).
-3*d**2 + d + 2
Let h(a) = -a**3 - a**2 + a - 1. Let s be (3 + -3)/(-3) - (-7 - -6). Let u(r) = -3*r**3 - 8*r**2 + 5*r - 3. Determine s*u(d) - 5*h(d).
2*d**3 - 3*d**2 + 2
Let y(o) be the third derivative of -o**5/20 - 7*o**4/24 - 2*o**3/3 - 34*o**2. Let z(n) = 12*n**2 + 29*n + 17. What is 9*y(w) + 2*z(w)?
-3*w**2 - 5*w - 2
Let z(n) = -2*n + 75. Let s(f) = 12*f - 361. Calculate 4*s(b) + 22*z(b).
4*b + 206
Let u(p) = 2*p**3 + 10*p**2 - 23*p - 15. Let t(n) = -6*n**3 - 21*n**2 + 44*n + 37. Calculate -2*t(f) - 5*u(f).
2*f**3 - 8*f**2 + 27*f + 1
Let j(n) = -149*n - 5. Let q = 21966 - 21504. Let o(y) = 13783*y + 462. Determine q*j(u) + 5*o(u).
77*u
Let r(d) = -228*d - 17. Let x(c) = -127*c - 8. Give -3*r(g) + 7*x(g).
-205*g - 5
Let v(b) = -25*b**3 - 3*b**2 + 6*b - 10. Let u(p) = 8*p**3 + p**2 - 2*p + 3. Let d = -8187 + 8194. What is d*u(y) + 2*v(y)?
6*y**3 + y**2 - 2*y + 1
Let a(d) = -d - 1. Let q(m) = 723*m - 8. Calculate -5*a(y) + q(y).
728*y - 3
Let l(f) = -11*f**3 - 11*f**2 + 11*f + 34. Let b(w) = w**3 + w**2 - 3. Give 9*b(h) + l(h).
-2*h**3 - 2*h**2 + 11*h + 7
Suppose -3 = -l + 3. Suppose -5*c - c = -408. Let m = c - 54. Let o(n) = n. Let d(s) = -2*s. Give l*d(w) + m*o(w).
2*w
Let k(u) = -4*u - 3*u**2 + 0*u**3 + 6*u**2 - u**3 + 0 + 5. Let a(m) = -m**2 + m - 1. Let c = -6600 - -6605. Give c*a(r) + k(r).
-r**3 - 2*r**2 + r
Let q(s) = -2*s**2 - 51*s - 5. Let w = -23125 - -23127. Let j(i) = -2*i**2 - 51*i - 4. Give w* | {
"pile_set_name": "DM Mathematics"
} |
*3 - 89
Collect the terms in -11*u**3 - 17*u**2 + 8*u**2 + 9*u**2.
-11*u**3
Collect the terms in 53*b**2 - 6 - 12*b**2 + 0 + 4.
41*b**2 - 2
Collect the terms in 3 - 4 + 1 - 106*j**2.
-106*j**2
Collect the terms in 55 - 14 - y**3 - 41.
-y**3
Collect the terms in -2*v + 2*v + 658*v**2 + 211*v**2.
869*v**2
Collect the terms in 5*x**3 - x**3 - x**3.
3*x**3
Collect the terms in 5*q**2 - q**2 + 129 - 12.
4*q**2 + 117
Collect the terms in 11799*d - 5886*d - 5909*d.
4*d
Collect the terms in -5 + k**3 + 0*k**3 + 2 + 11.
k**3 + 8
Collect the terms in 106*c**3 + 0*c**3 - 20*c**3.
86*c**3
Collect the terms in -88*f - 19 - 84*f + 19.
-172*f
Collect the terms in -11*u - 6 + 6 + 0.
-11*u
Collect the terms in -2*v**3 + 4*v**3 - v**3.
v**3
Collect the terms in -94*h**2 - h**2 + 65 - 65.
-95*h**2
Collect the terms in -b**3 + 659*b - 68*b + 152*b.
-b**3 + 743*b
Collect the terms in -90*b - 94*b + 179*b.
-5*b
Collect the terms in 0*w**2 - w**3 + 2*w**2 + 3*w**3 - 9*w**3.
-7*w**3 + 2*w**2
Collect the terms in -8*v + v - 14*v - 4*v + 16*v.
-9*v
Collect the terms in -9*c**3 + 4*c**3 - 37 + 37.
-5*c**3
Collect the terms in 2*j - 4*j - 4*j + j.
-5*j
Collect the terms in 0*d**3 + 3*d**3 + 3*d**3 + 0*d**3 - 8*d**3.
-2*d**3
Collect the terms in 2*q**3 + 2*q**3 - 10*q**3 + 10*q**3.
4*q**3
Collect the terms in -3662*d**2 - 11*d**3 + 3662*d**2.
-11*d**3
Collect the terms in -22*w**3 + 28*w**3 + 82*w**3.
88*w**3
Collect the terms in v - v + 191*v**2 - 188*v**2.
3*v**2
Collect the terms in 282*b - 119*b - 170*b.
-7*b
Collect the terms in -667*t + 1339*t - 668*t.
4*t
Collect the terms in 2 + 3*d - 41*d - 15*d.
-53*d + 2
Collect the terms in p**3 + 1705*p - 1705*p.
p**3
Collect the terms in 46 + 3*z - 46.
3*z
Collect the terms in 6*k + 2*k - 11*k - 14*k - 2.
-17*k - 2
Collect the terms in -29*c**2 + 4*c**3 + 15*c**3 + 29*c**2.
19*c**3
Collect the terms in 3*x + 0 - 4*x + 0*x + 4.
-x + 4
Collect the terms in -3*x**3 - x**3 + 2*x**3.
-2*x**3
Collect the terms in -29*o + 83*o - 29*o - 30*o.
-5*o
Collect the terms in -9*c + 19*c + 6*c + 4*c.
20*c
Collect the terms in -10*k + 34*k - 16*k.
8*k
Collect the terms in -4*m + 4 + 2*m - 3 + m.
-m + 1
Collect the terms in 8 + 4*i + 9*i**2 - 20 + 12.
9*i**2 + 4*i
Collect the terms in 18*f + 23*f - 47*f.
-6*f
Collect the terms in 28*m**2 - 46*m**2 + 25*m**2.
7*m**2
Collect the terms in 1197 - 1197 + 6*u.
6*u
Collect the terms in -11*l**3 + 10*l**3 + 3*l**3 + 21*l**3.
23*l**3
Collect the terms in -323 - 99*j**3 + 323.
-99*j**3
Collect the terms in 3*m - 4*m + 5*m.
4*m
Collect the terms in 6*h + 27 - 27.
6*h
Collect the terms in -97*d**3 + 186*d**3 - 51*d**3.
38*d**3
Collect the terms in -1813*y + 1813*y + y**2.
y**2
Collect the terms in 5 + 2 + 2 - 1 + g.
g + 8
Collect the terms in -9*k**3 + 2*k**3 + 10*k**3.
3*k**3
Collect the terms in -d**2 + 0*d**2 + 218*d - 228*d.
-d**2 - 10*d
Collect the terms in -8 + 21 - 13 + 3*c**3.
3*c**3
Collect the terms in 3*s + 13*s - 17*s.
-s
Collect the terms in -35*t - 27*t + 50*t.
-12*t
Collect the terms in 1 + 0*w**2 + 12*w**2 - 1.
12*w**2
Collect the terms in -25*l**2 + 121*l**2 + 52*l**2 - 8*l**2.
140*l**2
Collect the terms in -4*i + i + 0*i + i.
-2*i
Collect the terms in w**2 + 0*w**2 + 3*w**2 + 0*w**2.
4*w**2
Collect the terms in -16*m**3 - 38*m**3 + 117*m**3 - 35*m**3.
28*m**3
Collect the terms in -115 - 107 - l + 222 + 6*l.
5*l
Collect the terms in 13*f**2 - 11 + 11.
13*f**2
Collect the terms in 4 - 4*n - 6*n - 5*n.
-15*n + 4
Collect the terms in -383*j + 125*j + 128*j + 128*j.
-2*j
Collect the terms in 79*i**2 - 343*i**2 - 97*i**2.
-361*i**2
Collect the terms in 2*z + 2*z**3 - 4*z + 0*z + 2*z.
2*z**3
Collect the terms in 7 - 6*o - 2 - 5.
-6*o
Collect the terms in 3*o**3 + o**3 + 2*o**3 - 4*o**3.
2*o**3
Collect the terms in -214 + r**2 + 4*r + 214 - 4*r.
r**2
Collect the terms in -22*u**3 + 36*u**3 + 20*u**2 - 13*u**3 + 0*u + 0*u.
u**3 + 20*u**2
Collect the terms in 5*b**3 - 670*b**2 + 670*b**2.
5*b**3
Collect the terms in 15*f**2 + 9*f**2 - 9*f**2.
15*f**2
Collect the terms in 10*k**3 - 8*k**3 - 3*k**3 - 3*k**3.
-4*k**3
Collect the terms in 10*u**2 - 22*u**2 + 7*u**2.
-5*u**2
Collect the terms in -587*w**2 + w - w + 597*w**2.
10*w**2
Collect the terms in 93*a - 39*a - 31*a.
23*a
Collect the terms in -62*p**2 + 46*p**2 - 3*p + 39*p**2 + 7*p.
23*p**2 + 4*p
Collect the terms in 19*d**2 + 86*d - 87*d + 7*d**2.
26*d**2 - d
Collect the terms in -12 - 5*x**2 + 3 + 6*x**2.
x**2 - 9
Collect the terms in 151*q**2 - 89*q**2 + 615*q**2.
677*q**2
Collect the terms in -1 - 938*p**3 + 1 + 941*p**3.
3*p**3
Collect the terms in -1 + 0 + 2 + 2*b - 2.
2*b - 1
Collect the terms in -57*q**3 + 76*q**3 - 16*q**3.
3*q**3
Collect the terms in -4*p**3 - 10*p**3 - 9*p**3 + 22*p**3 - 5*p**3.
-6*p**3
Collect the terms in -55205 - 2*s**3 + 55205.
-2*s**3
Collect the terms in -6670*v - 6680*v + 13347*v.
-3*v
Collect the terms in -1 + 3 + 3*o + 1 + 0.
3*o + 3
Collect the terms in 8*n**2 + 245 - 245.
8*n**2
Collect the terms in 81*v**2 + 24 + 30 - 54.
81*v**2
Collect the terms in 3*h + 87 - 87 - h.
2*h
Collect the terms in n**2 + 8966 - 8966.
n**2
Collect the terms in -135*l**2 - 332*l**2 + 333*l**2.
-134*l**2
Collect the terms in 0*x - x**2 - 2*x + 2*x.
-x**2
Collect the terms in k**2 + 52*k**3 - 4*k**2 + 6*k**2.
52*k**3 + 3*k**2
Collect the terms in 85*s**3 - 32*s**3 - 52*s**3.
s**3
Collect the terms in 21945*r**2 + 21948*r**2 - 43894*r**2.
-r**2
Collect the terms in -v + 2*v - 1090*v**3 + 148*v**3.
-942*v**3 + v
Collect the terms in 0*l**3 + 16*l**3 + 2*l**3.
18*l**3
Collect the terms in 4*f**3 - 12*f**3 + 5*f - 7*f.
-8*f**3 - 2*f
Collect the terms in -19*d - 20*d + 65*d - 17*d - 17*d.
-8*d
Collect the terms in -5*m**3 - 8*m + 8*m.
-5*m**3
Collect the terms in -63*h - 64*h + 38*h.
-89*h
Collect the terms in 2*q + 65 - 10 + 14.
2*q + 69
Collect the terms in 6*g**2 - 71*g - 125*g**2 + 71*g.
-119*g**2
Collect the terms in -2*d**3 - 27*d**3 + 30*d**3.
d**3
Collect the terms in 4*a**2 - 12*a**2 + 7*a**2 - 4*a.
-a**2 - 4*a
Collect the terms in 0*h**3 + 2*h**3 + 2 - 3*h**3 - 2.
-h**3
Collect the terms in 133*u - 43*u - 41*u - 48*u.
u
Collect the terms in -z - 40 + 118 - 36 - 42.
-z
Collect the terms in 225*x**2 + 0*x**3 + x**3 - 11 - 225*x**2.
x**3 - 11
Collect the terms in 29*z**3 - 7*z**3 - 9*z**3.
13*z**3
Collect the terms in -102 + 102 + 149*i**3.
149*i**3
Collect the terms in 9*r**3 + 13 + 9 - 22 - 13*r**3.
-4*r**3
Collect the terms in 37 - 100 - 99 + 4*n - 6*n.
-2*n - 162
Collect the terms in -15*m**3 - 9*m**3 - 16*m**3 + 41*m**3.
m**3
Collect the terms in 50*s**2 + 48*s**2 - 98*s**2 + 2*s**3.
2*s**3
Collect the terms in 28*a + a**3 + 64*a - 92*a.
a**3
Collect the terms in 4*y**2 + 47*y**3 + 28*y**3 - 4*y**2 - 73*y**3.
2*y**3
Collect the terms in -8*g - 6*g - 15*g.
-29*g
Collect the terms in -36*d**2 - 38*d**3 - 3*d**3 + 36*d**2.
-41*d**3
Collect the terms in 15*n**3 - n**3 - 5*n**3.
9*n**3
Collect the terms in 5 - 44*u**3 - 5 + 0.
-44*u**3
Collect the terms in -73358 + 73358 - 3*a**3.
-3*a**3
Collect the terms in -4*d**2 + 3*d - 7*d + 4*d + 5*d.
-4*d**2 + 5*d
Collect the terms in 221*v**3 - 450*v**3 - 5 + 222*v**3.
-7*v**3 - 5
Collect the terms in 35*r + 32*r - 72*r.
-5*r
Collect the terms in 2*p + 6*p - 29*p - 19*p.
-40*p
Collect the terms in -7*a - 3*a + 5*a.
-5*a
Collect the terms in 3*h + 8 - 11 - 16.
3*h - 19
Collect the terms in -5*p - 18 + 21 - 3.
-5*p
Collect the terms in 8*a + 26*a + 4 - 4.
34*a
Collect the terms in 66*w**3 - 193*w**3 + 63*w**3 + 62*w**3.
-2*w**3
Collect the terms in -6875*w + w**3 + 6875*w.
w**3
Collect the terms in -15*c - 12*c + 27*c - 3*c**2.
-3*c**2
Collect the terms in -56*j**3 + 3 + 15*j**3 - 4.
-41*j**3 - 1
Collect the terms in 7*g**2 + 6*g**2 - 12*g**2.
g**2
Collect the terms in 13*z**2 - 13*z**2 - 14838*z**3 + 14841*z**3.
3*z**3
Collect the terms in 0 + 116*b + 0 - 89*b.
27*b
Collect the terms in 2*f**3 - 4*f - 21*f**2 + 2*f + 2*f.
2*f**3 - 21*f**2
Collect the terms in -3*r + 18*r + 21*r**2 - 6*r - 8*r.
21*r**2 + r
Collect the terms in 3*r**2 - 13*r**2 - r**2.
-11*r**2
Collect the terms in -5*y - 10*y**2 + 42*y - 37*y.
-10*y**2
Collect the terms in 2*t**2 - t**2 + 7*t**2.
8*t**2
Collect the terms in 0 + 0 - 7*a**2 - 22*a**2.
-29*a**2
Collect the terms in -4*i**2 + 308 - 308.
-4*i**2
Collect | {
"pile_set_name": "DM Mathematics"
} |
51. Calculate s(14).
1
Let g(c) = 3318*c - 112671. Calculate g(34).
141
Let i(g) = -g**3 + 20*g**2 - 173*g + 1880. Calculate i(16).
136
Let b(r) = -r**3 + 49*r**2 + 81*r + 1288. What is b(51)?
217
Let w(n) = 350*n + 9111. Give w(-27).
-339
Let y(k) = -251*k - 28466. What is y(-124)?
2658
Let n(s) = -2*s**2 + 85374*s + 256161. Give n(-3).
21
Let j(g) = -g**3 - 66*g**2 - 86*g + 556. What is j(-63)?
-5933
Let v(k) = k**3 + 34*k**2 - 3199*k + 1. Give v(42).
-293
Let g(m) = -2*m**2 - 768*m - 6002. What is g(-8)?
14
Let d(x) = x**2 - 2179*x + 55981. What is d(26)?
3
Let t(m) = -2*m**3 + 34*m**2 - 48*m - 29. Determine t(2).
-5
Let i(k) = -118*k + 36977. Determine i(313).
43
Let a(t) = 4*t**2 + 69*t - 1213. Calculate a(-28).
-9
Let f(i) = 566*i + 21127. Determine f(-37).
185
Let n(b) = 1341*b + 95302. Calculate n(-71).
91
Let t(d) = -328*d**2 + 68225*d - 212. Give t(208).
-4
Let g(x) = -x**2 - 1962*x + 13787. Give g(7).
4
Let u(i) = 9*i**3 - 39*i**2 - 404*i + 1121. What is u(8)?
1
Let j(u) = -9*u**2 + 221*u + 197. Determine j(27).
-397
Let m(q) = -q**3 - 57*q**2 + 1931*q - 9645. Determine m(-82).
113
Let i(d) = 560*d**2 - 154000*d + 36. What is i(275)?
36
Let y(m) = 4939*m - 997726. Determine y(202).
-48
Let m(f) = -115381*f - 230757. Determine m(-2).
5
Let q(r) = 5*r**2 - 7189*r - 1. Give q(0).
-1
Let f(c) = 3*c**2 - 141*c + 101. What is f(52)?
881
Let b(k) = 10996*k + 670831. Calculate b(-61).
75
Let y(n) = -2*n**3 - 158*n**2 + 636*n + 25269. Calculate y(-81).
-3
Let g(y) = 8*y**3 - 1017*y**2 + 129*y - 248. Give g(127).
6
Let g(d) = -286364*d - 1431817. Give g(-5).
3
Let k(r) = 723*r + 9359. Calculate k(-13).
-40
Let z(t) = 12*t**2 + 344*t - 2031. Calculate z(5).
-11
Let v(l) = 3*l**2 + 603*l - 5951. Give v(9).
-281
Let h(m) = -m**3 + 624*m**2 + 423939*m - 392. Determine h(-410).
18
Let v(d) = d**3 - 154*d**2 + 1456*d - 2299. What is v(144)?
5
Let o(c) = -52966*c + 4872874. Give o(92).
2
Let c(o) = -13633*o - 817876. Calculate c(-60).
104
Let y(u) = u**3 - 61*u**2 - 551*u - 14. Determine y(69).
55
Let f(b) = 4*b**2 - 1114*b - 24992. Determine f(-21).
166
Let i(t) = -9439*t - 254798. Determine i(-27).
55
Let n(g) = 1010*g + 99050. Determine n(-98).
70
Let j(k) = -k**3 - 68*k**2 - 435*k - 3888. Determine j(-62).
18
Let n(g) = 9294*g + 715665. What is n(-77)?
27
Let w(s) = 98550*s + 1281156. Give w(-13).
6
Let z(a) = -2*a**2 + 10588*a + 201904. What is z(-19)?
10
Let h(p) = -308*p + 48. What is h(0)?
48
Let n(r) = r**3 - 178*r**2 + 1527*r - 206922. Give n(176).
-122
Let b(i) = 3344*i + 23658. What is b(-7)?
250
Let j(h) = -109*h**3 - 980*h**2 - 185*h - 1825. Give j(-9).
-79
Let h(z) = 1195*z - 29898. Give h(25).
-23
Let n(h) = -3*h**2 + 103*h - 1067. Calculate n(12).
-263
Let s(z) = 2*z**3 + 11*z**2 + 2096*z + 12739. Determine s(-6).
127
Let c(y) = -2*y**2 + 752*y - 27927. Determine c(42).
129
Let h(a) = 11391*a - 4419720. Give h(388).
-12
Let d(r) = -2246*r + 9354. Give d(4).
370
Let n(t) = 4720*t + 4568. Calculate n(-1).
-152
Let n(z) = -3*z**2 - 3630*z - 60827. Give n(-17).
16
Let k(g) = -105*g**2 - 5976*g + 6618. Determine k(-58).
6
Let c(j) = 6*j**3 + 2257*j**2 + 341*j - 13162. Calculate c(-376).
-2
Let y(l) = -l**2 - 37711*l - 188540. Calculate y(-5).
-10
Let b(r) = -233*r**2 + 329237*r - 11297. Give b(1413).
7
Let u(k) = 87*k**3 - k**2 + 26*k + 51. Determine u(-2).
-701
Let a(f) = -1534*f**3 - 142*f**2 - 2*f - 2. Determine a(-1).
1392
Let i(n) = n**2 + 39*n - 20347. Calculate i(-165).
443
Let j(r) = 250*r**2 + 150513*r + 7828. Determine j(-602).
2
Let c(t) = t**3 - t**2 + 162*t - 620. Determine c(4).
76
Let a(k) = -949*k + 15969. Determine a(19).
-2062
Let n(m) = m**3 + 158*m**2 + 207*m - 188406. Give n(-148).
-2
Let u(o) = -13308*o - 66536. Calculate u(-5).
4
Let s(t) = -16338*t - 114446. Determine s(-7).
-80
Let w(f) = -22063*f - 66195. What is w(-3)?
-6
Let h(r) = r**2 + 151*r - 20420. What is h(86)?
-38
Let a(n) = -7300*n - 356916. What is a(-49)?
784
Let l(j) = 8234*j - 642536. Give l(78).
-284
Let w(x) = 7*x**3 + 110*x**2 + 209*x + 648. Determine w(-14).
74
Let g(y) = y**2 + 741*y - 96503. Determine g(113).
-1
Let b(g) = -343*g**2 - 56937*g + 163. Determine b(-166).
-3
Let f(b) = -1066*b**2 + 2136*b - 13. What is f(2)?
-5
Let c(o) = -3562*o - 338348. What is c(-95)?
42
Let m(s) = -3*s**2 + 605*s + 10586. What is m(218)?
-96
Let u(c) = -18*c**2 - 2529*c + 1265. What is u(-141)?
-4
Let x(s) = -2*s**3 - 115*s**2 - 41*s + 913. Determine x(-57).
1
Let t(c) = -45*c**3 + 2122*c**2 - 326*c - 151. Calculate t(47).
-10
Let t(u) = 4*u**2 + 1826*u + 31065. What is t(-17)?
1179
Let r(t) = 729*t + 120298. Calculate r(-165).
13
Let o(m) = 26906*m - 44. Give o(0).
-44
Let f(g) = -7064*g - 52376. Determine f(-8).
4136
Let j(l) = 3*l**3 + 5*l**2 - 44*l + 15. Determine j(3).
9
Let s(f) = 1471*f - 66167. What is s(45)?
28
Let q(k) = 419*k**2 - 6305*k + 296. Give q(15).
-4
Let k(h) = -4*h**3 + 52*h**2 + 739*h - 9646. Determine k(13).
-39
Let x(a) = 2*a**3 - 57*a**2 + 352*a - 5797. Determine x(26).
-25
Let a(r) = 3*r**2 + 2370*r - 118018. Give a(47).
-1
Let y(q) = -q**3 + 18*q**2 - 25*q - 4. Calculate y(19).
-840
Let q(u) = -13*u**2 + 123*u + 101. Determine q(12).
-295
Let c(v) = v**3 - 236*v**2 + 208*v + 6297. Calculate c(235).
-48
Let x(j) = -163901*j + 655611. Give x(4).
7
Let h(f) = 6*f**2 - 636*f - 1243. Calculate h(108).
53
Let r(c) = c**2 + 750*c - 4550. Give r(6).
-14
Let x(f) = -3*f**2 - 1628*f + 19963. Determine x(12).
-5
Let r(y) = 2511*y + 183275. What is r(-73)?
-28
Let g(j) = 5*j**2 - 39*j - 423. What is g(-6)?
-9
Let c(k) = -29331*k - 1202687. What is c(-41)?
-116
Let q(a) = -3*a**3 + 11832*a**2 + 11782*a - 51. What is q(-1)?
2
Let s(l) = -9*l**3 - 1043*l**2 + 139*l + 1779. Give s(-116).
-889
Let l(s) = s**2 - 376*s + 3245. Calculate l(9).
-58
Let x(i) = 571*i**2 + 75373*i + 107. What is x(-132)?
-25
Let h(c) = -62663*c - 2067886. Calculate h(-33).
-7
Let a(f) = -6*f**2 - 150*f - 580. Calculate a(-4).
-76
Let x(n) = -105*n + 12404. Calculate x(120).
-196
Let n(s) = -28*s**2 + 3108*s - 4. Calculate n(111).
-4
Let x(f) = -7418*f + 2388589. Calculate x(322).
-7
Let j(b) = b**2 - 25*b - 9408. What is j(110)?
-58
Let j(a) = -9*a**3 + 22*a**2 - 63*a + 19. Give j(4).
-457
Let i(m) = -18*m**2 + 539*m + 538. Determine i(32).
-646
Let y(g) = 80091*g + 3123443. Give y(-39).
-106
Let n(q) = -2*q**3 - 219*q**2 + 1087*q - 8. Determine n(5).
-298
Let p(i) = -i**3 + 15*i**2 - 60*i - 18. Calculate p(9).
-72
Let v(m) = -61*m**3 + 1403*m**2 + 2*m - 24. Calculate v(23).
22
Let r(f) = 377299*f + 5659479. Calculate r(-15).
-6
Let x(b) = -b**2 + 1298*b - 75448. Determine x(61).
9
Let b(r) = 3666*r + 3786982. What is b(-1033)?
4
Let n(v) = 8314*v - 257714. Calculate n(31).
20
Let d(r) = 8*r**3 - 23*r**2 - 5*r + 6. Determine d(-2).
-140
Let y(u) = -u**2 + 185457*u + 741843. Calculate y(-4).
-1
Let y(u) = 17*u - 135. Determine y(2).
-101
Let g(u) = -u**3 + 41*u**2 - 341*u + 4641. What is g(36)?
-1155
Let s(q) = -q**3 + 85*q**2 - 41*q - 3684. What is s(84)?
-72
Let m(d) = -171*d**3 - 5*d**2 - 73*d - 141. Calculate m(-2).
1353
Let o(k) = 92*k + 6816. Give o(-74).
8
Let w(c) = c**3 + 159*c**2 + 2381*c + 1357. Give w(-16).
-131
Let d(o) = 2361*o**2 - 118047*o - 132. Determine d(50).
18
Let d(z) = -1310600*z + 3931799. Determine d(3).
-1
Let k(t) = 15*t**2 + 3*t - 285. Give k(8).
699
Let k(y) = -547*y**2 + 143*y - 95. Calculate k(1).
-499
Let r(x) = -267*x**2 + 216*x + 952. What is r(-4)?
-4184
Let y(b) = b**3 - 25*b**2 + 127*b - 570. Calculate y(20).
-30
Let s(v) = 4*v**2 - 2110*v - 31432. Calculate s(542).
4
Let j(w) = -3*w**2 + 44*w - 269. What is j(5)?
-124
Let h(o) = o**2 - 278*o + 15615. Give h(183).
-1770
Let f(c) = 934145*c - 15880464. Calculate f(17).
1
Let y(u) = -u**2 + 23011*u + 391476. What is y(-17)?
0
Let w(a) = -21*a + 58. Calculate w(7).
-89
Let h(c) = -227*c**2 - 438*c + 757. What is h(-3)?
28
Let i(r) = r**3 - 49*r**2 + 409*r + 344. What is i(38)?
2
Let l(q) = 630*q - 162528. Give l(258).
12
Let k(y) = -525632*y + 1576875. What is k(3)?
-21
Let p(y) = 4320*y - 38940. Determine p(9).
-60
Let n(r) = 4*r**3 - 239*r**2 - 55*r - 364. What is n(60)?
-64
Let j(v) = v**3 - 55*v**2 - 236*v + 6951. Calculate j(57).
-3
Let i(u) = -3*u**2 - 96*u + 3807. Give i(-58) | {
"pile_set_name": "DM Mathematics"
} |
to 2 dps.
0.01
Let o = 233967 + -162834. Let l = 71139.0003 - o. Let v = 6 - l. What is v rounded to three dps?
0
Let d = -433 + 422.14. Let o = -0.06 - d. Let z = o + -10.80079. Round z to 4 dps.
-0.0008
Let c = -0.078 - -0.001. Round c to two decimal places.
-0.08
Suppose -s + 38661 + 14339 = 0. What is s rounded to the nearest ten thousand?
50000
Let w = -36.4015669 - -34.40156661. Let z = w - -2. What is z rounded to 7 dps?
-0.0000003
Let d = -14 + 26. Let o = d - 19. Let t = o - -6.94. Round t to 2 decimal places.
-0.06
Let q = 875 + 1120. Suppose q - 2501995 = -o. Round o to the nearest one million.
3000000
Let f = -1.8 + 1.800022. Round f to five decimal places.
0.00002
Suppose -3*b + 6*b = -3*o, -4*b - 4 = 3*o. Let c be -1 + o - (1 - 4199998). Round c to the nearest 1000000.
4000000
Let d be 52/10 - (-3)/(-15). Suppose d*u + 120010 = -3*c, -3*c + 2*u - 119998 = u. What is c rounded to the nearest 100000?
0
Suppose -s - 17 = 3*s - 3*p, -3*s + 2*p - 14 = 0. Let r = s + -1132. What is r rounded to the nearest one hundred?
-1100
Let n = -0.04 + 0.1235. Let u = -0.09 + n. Round u to three decimal places.
-0.007
Let j = -7.0031 - 0.0269. Let o = -0.72 + j. Let t = o + -0.45. Round t to the nearest integer.
-8
Let l = 67 - 67.0000018. Round l to six dps.
-0.000002
Let g = 1408947 - 1408835.00051. Let a = g - 112. Round a to four decimal places.
-0.0005
Let g(r) be the third derivative of r**6/120 - r**4/8 + r**3/3 - r**2. Let c = -5 + 9. Let y be g(c). Round y to the nearest ten.
50
Let i = -0.6 - -0.9. Let r = i + -0.2. Let m = -0.098 + r. What is m rounded to 2 decimal places?
0
Let t = -16 + 15.3. Let r = 0.69999952 + t. What is r rounded to seven decimal places?
-0.0000005
Let g = -5 - -7. Suppose -s - g + 0 = 0. Let n be (120/(-9))/s*24. What is n rounded to the nearest one hundred?
200
Let v = -13393.77 - -13535. Let p = v - 147.4. Let d = 6.7 + p. Round d to one decimal place.
0.5
Let x = -0.66 - -0.93. What is x rounded to 2 dps?
0.27
Let y = -22911625.0000014 + 22911628. Let z = y - 3. What is z rounded to 6 dps?
-0.000001
Let t = -122 - -121.9902. Round t to 3 dps.
-0.01
Suppose -228*t + 233*t = 597000. What is t rounded to the nearest 10000?
120000
Let q = -6 + 5.99999929. What is q rounded to 7 dps?
-0.0000007
Let l = 13 - 13.00014. What is l rounded to four decimal places?
-0.0001
Let v = -4 - -3. Let r(k) = 37*k**2 + k + 1. Let i(p) = -112*p**2 - 4*p - 4. Let n(s) = 2*i(s) + 7*r(s). Let c be n(v). Round c to the nearest ten.
40
Let b = -12.4 + 11. Let y = -1.4000004 - b. Round y to 6 decimal places.
0
Let c = 0.0250039 + -0.025. Round c to six dps.
0.000004
Let j = 0.6 + -1.1. Let f = j - -0.517. Round f to 2 dps.
0.02
Let p be (1979 + 0 - -5)*-3125. Round p to the nearest one million.
-6000000
Suppose m - 5*g + 26 = 0, 5*m = 3*m + 4*g - 28. Let t = 15 + m. Let y be (-366004)/6 - (-6)/t. What is y rounded to the nearest 10000?
-60000
Let o = 45825 + -45825.1600064. Let c = o - -0.16. Round c to 6 decimal places.
-0.000006
Let o = -123.01 + 114.1. Let y = 0.71 + o. What is y rounded to the nearest integer?
-8
Let v = 737 + -691.1. Let s = v - 48. Let w = s + 2.1009. Round w to four decimal places.
0.0009
Let v = 78.6 + -97. What is v rounded to 0 decimal places?
-18
Let t = -0.06 - 0.41. Let i = -7689575 + 7689575.46999934. Let f = i + t. What is f rounded to 7 dps?
-0.0000007
Let i = 96628 + -96640.8182. Let b = -12.8 - i. Round b to three dps.
0.018
Let c = -1.15 + 1. Let g = c - 0.03. What is g rounded to one decimal place?
-0.2
Let x = 88.4 + -99. What is x rounded to the nearest integer?
-11
Let l(t) = -t**2 - 11*t - 13. Let b be l(-9). Suppose b*n + m = 535, -n + 5*m + 86 = m. Suppose -3*k - n = -376. What is k rounded to the nearest 100?
100
Suppose -4*y + y = 617709. Let g = -138903 - y. Round g to the nearest ten thousand.
70000
Let l = -455.2 + 459.541. Let j = 134.069 + l. Let y = -139 + j. Round y to 1 dp.
-0.6
Suppose -5*d = c - 199975, 4*d - 2*d + 10 = 0. What is c rounded to the nearest one million?
0
Let p = -197 - -204.65. Let n = p - 6.366. Let x = 1.2 - n. What is x rounded to two dps?
-0.08
Let y = -3.03 - -2.16. Let x = -0.869939 - y. What is x rounded to five decimal places?
0.00006
Let z = 70 - 50. Let i = z + -19.99983. Round i to 4 dps.
0.0002
Let p = -17560 - -17558.90045. Let k = -8 + 9.1. Let m = k + p. Round m to four dps.
0.0005
Suppose 5*t - 15 + 0 = 0. Let c(d) = -61*d**3 + 4*d**2 - 2*d - 3. Let a be c(t). Round a to the nearest one hundred.
-1600
Let d = 5 - 5.1. Let t = d + -0.2. Let i = 0.300002 + t. Round i to 5 dps.
0
Let s = 2 + -1.85. Let r = s + -0.7. What is r rounded to 1 dp?
-0.6
Let w = 0.03 + -0.03. Let c = -0.033 + w. Round c to two dps.
-0.03
Let m = -50 - -132. What is m rounded to the nearest 10?
80
Let i = 749.9 - 821. Round i to the nearest ten.
-70
Suppose -r + 374 = 3*u, -5*r + u + 1960 = -2*u. What is r rounded to the nearest ten?
390
Let r(g) = g**3 - 8*g**2 + 6*g + 11. Let d be r(11). Let j be (-1750)/((-1)/d*1). What is j rounded to the nearest one hundred thousand?
800000
Suppose 0*x + 3*g = 2*x - 19, 4*x + 4*g + 12 = 0. Suppose 4*w + 20400000 = x*z, -2*w - 5*z = -5*w - 15300000. Round w to the nearest one million.
-5000000
Let o = -58 + 59. Round o to the nearest 10.
0
Suppose -2*u = 3*u + 5. Let z = u + 0. Let b be z/4 + (-8002)/(-8). What is b rounded to the nearest 1000?
1000
Let g = 1153.9999391 + -1154. What is g rounded to five dps?
-0.00006
Let i = 158 - 92. Let f = 224 - i. Let n = 158.0000069 - f. Round n to 6 decimal places.
0.000007
Let k = 40951.6098 - 40964. Let d = 12.4 + k. Round d to 3 decimal places.
0.01
Let c be 15746*1*(-1 - -5). Suppose -2*i + 242984 - c = 0. What is i rounded to the nearest ten thousand?
90000
Let p = -42 + 46.6. Let u = -4.66301 - -0.01401. Let c = u + p. What is c rounded to two dps?
-0.05
Let i = 3265 - 6558.264. Let o = -3293.4239983 - i. Let u = -0.16 - o. What is u rounded to 6 dps?
-0.000002
Let h = -1504.469 - -1507. Let p = h + -0.071. What is p rounded to 1 decimal place?
2.5
Let c = -54 - -23. Let z = -10.6 - c. What is z rounded to zero dps?
20
Let q(l) = -64573*l + 6. Let g be q(-9). Suppose g - 8053 = 5*j. Suppose -j - 129378 = 4*m. What is m rounded to the nearest 10000?
-60000
Let z = -434 - -434.00173. Round z to 4 dps.
0.0017
Let i = 213.6876 - 173.68. Let z = i + -40. What is z rounded to three dps?
0.008
Let w(v) = -2*v**3 + 7*v**2 + v + 1. Let n be w(-6). Suppose 4*d - n = 9461. Suppose -z - 3065 = d. What is z rounded to the nearest 1000?
-6000
Suppose r - 2*r + 11 = 0. Let c be 1319999980/(-110) + (-2)/r. What is c rounded to the nearest 1000000?
-12000000
Let j be (-632)/(-5) + -6*(-5)/(-75). What is j rounded to the nearest 100?
100
Suppose -3*g + s + 70636 = -152797, 0 = 3*g - 2*s - 223432. Let x = -187478 + g. What is x rounded to the nearest ten thousand?
-110000
Suppose 44219 = 4*l - 63781. Let q = 0 - -4. Suppose -q*p + p + l = 0. Round p to the nearest one thousand.
9000
Let x = -6199 + -34301. What is x rounded to the nearest 1000?
-41000
Let k(i) = 0*i**2 + i + 15*i**2 - 8*i**2 - 6*i**2 + 8000. Let q be k(0). Round q to the nearest ten thousand.
10000
Suppose -b = 2*p + p + 87, 88 = -b - 2*p. Let s be (-1 - (-480009)/9)*b. Round s to the nearest 1000000.
-5000000
Suppose 3*p - 2*v + 6 = 5*p, -4 = 4*v. Suppose p*q + 2*r + 33510 = -q, -3*q + 3*r - 20085 = 0. Let z = 2300 - q. Round z to the nearest 10000.
10000
Let u = 61.3 + 13.7. Let k = 25 - u. Let d = k - -49.58. Round d to 1 dp.
-0.4
Let s = 15.049 + -15. Let b = 0.0490031 - s. What is b rounded to 6 dps?
0.000003
Let k = 7 + -7.02. Let j = k - 0.017. Let u = -0.0369977 - j. Round u to six dps.
0.000002
Let k = -18.000034 + 18. Round k to five decimal places.
-0.00003
Let l = 23.012 + -0.012. Let x = -40366.44666941 + 40389.44667. Let y = l - x. Round y to 7 decimal places.
-0.0000006
Suppose 5*a - 106000 = 6*a. What is a rounded to the nearest 10000?
-110000
Let i = 0.31799869 + -0.318. What is i rounded to seven dps?
-0.0000013
Let v = 165188833 + -165188806.19845506. Let x = -26.101545 + v. Let p = -0.7 + x. Round p to 7 decimal places.
-0.0000001
Let m = -3.121855 - -3888.963855. Let j = 3940.9 - m. Let b = j - 55. Round b to 2 decimal pl | {
"pile_set_name": "DM Mathematics"
} |
/105. What is the remainder when 44 is divided by (-15)/6*(x/10)/c?
5
Suppose 3*f + 5*r = -f + 36, 0 = -6*f - 2*r + 54. Calculate the remainder when 1330 is divided by f.
7
Suppose -9*i + 3*w + 482 = -5*i, w + 597 = 5*i. What is the remainder when i is divided by 24?
23
Suppose -314 = -5*q - 4*r + 498, -4*r = -32. What is the remainder when 2615 is divided by q?
119
Suppose 52*w = 10*w - 9*w + 3060. What is the remainder when 226 is divided by w?
46
Suppose 0 = -m - 3, -5*m - 712 = -4*b + 1707. Suppose 52*n - b = 23. Calculate the remainder when 65 is divided by n.
5
Let z(w) = -201*w + 2738. Calculate the remainder when z(-76) is divided by 21.
17
Let x = -122 + 130. Let c(z) = z**2 + 10*z + 8. Let j be c(-9). Calculate the remainder when 1/j*(1 + -32) is divided by x.
7
Suppose -526 = 7*q + 55. Let p = q + 83. Suppose -x + 47 = -p*x. Calculate the remainder when 185 is divided by x.
44
Let l = -3708 - -3721. Calculate the remainder when 2610 is divided by l.
10
Suppose 44501 = -246*m + 157169. What is the remainder when 1856 is divided by m?
24
Suppose -2*g = h + h - 20, 0 = -5*g + 20. Let f be -4 - (52 - h/3). Let x = f - -62. Calculate the remainder when x is divided by 4.
0
Let a = -271 + 148. Let o = 147 + a. What is the remainder when 82 is divided by o?
10
Suppose 174 = -3*i - 9. Let f = i + 64. Suppose -f*r + 2*x + 50 = -0*x, -2*r - 5*x = -65. What is the remainder when 77 is divided by r?
17
Let b(j) = 3*j**2 + 4*j + 15. Let x be b(6). Let c = x + -111. What is the remainder when 87 is divided by c?
15
Let z be 5*(36/(-10))/(-3). Let g be (-2)/(-6) - 80/(-12). Suppose -g*v + z*v = -99. Calculate the remainder when v is divided by 25.
24
Let b be 7/(-7)*(-1 + -21). Suppose -312 = 10*f - b*f. What is the remainder when 43 is divided by f?
17
Let m = -453 - -506. Let q = 959 + -642. Calculate the remainder when q is divided by m.
52
Let m(h) = -5*h + 741*h**2 + 9*h + 6 - 742*h**2 - 14 + 12*h. Calculate the remainder when 170 is divided by m(7).
5
Let d(u) = 3*u**2 - 4*u + 4. What is the remainder when d(4) is divided by 26/(13/(-78)*-2*6)?
10
Let v(y) = -2*y**2 + 9*y + 42. Let p = 52 + -39. Let w be v(p). Let a = -69 - w. Calculate the remainder when a is divided by 16.
14
Suppose 0 = 368*m - 67*m - 399395 + 12911. Calculate the remainder when m is divided by 28.
24
Suppose -94*w = -7*w - 7743. Calculate the remainder when w is divided by 4.
1
Let a be 4/120*-5 - 707/6. Let j = 124 + a. What is the remainder when 34 is divided by j?
4
Let w = -5825 - -5959. Calculate the remainder when w is divided by 24.
14
Let g(h) = h**3 - 68*h**2 - 66*h - 178. Calculate the remainder when 200 is divided by g(69).
26
Suppose 0 = -3*t - 5*p + 41, p + 5 - 16 = -t. Let g(s) = 32*s - 123. Calculate the remainder when g(t) is divided by 41.
19
Suppose -2*g = -3*a + 28 + 27, 3*a = 4*g + 53. Let u(n) = 2*n**3 - 6*n**2 + 73*n - 397. Calculate the remainder when u(5) is divided by a.
11
Let p be (-1)/((-14)/20)*-21. Let c = p - -79. Calculate the remainder when 242 is divided by c.
46
Let g(p) = 2*p**2 + 23*p + 10. Suppose -20*x = -13*x + 35. What is the remainder when x/(-1) - 2 - 768/(-6) is divided by g(-12)?
21
Let f(a) = a**3 + 8*a**2 + 11*a - 2. Let i = -186 + 109. Let v = -82 - i. What is the remainder when f(v) is divided by 5?
3
Suppose 265 = 6*q + 55. Suppose -25*o + q*o = 5140. Calculate the remainder when o is divided by 43.
41
Let v(o) = -5*o**3 - 7*o**2 - 4*o - 3. Let q(p) = -p**2 + 10*p. Let s be q(8). Suppose 0 = s*k - 12*k - 56. What is the remainder when v(-3) is divided by k?
11
Let c(w) = -w + 10. Let g be c(10). Suppose g = d - 15. Let r = -3015 + 3070. What is the remainder when r is divided by d?
10
Let c be -1*26*2044/8. What is the remainder when 68 is divided by (-1 - 2/6) + c/(-219)?
10
Let w = 155 - 148. Suppose y = 1, w*a - 3*a - 3*y = 569. Let c(j) = 4*j**2 - 6*j - 4. What is the remainder when a is divided by c(4)?
35
Let r = -38 - -78. Calculate the remainder when 2 - -45*(0 - -2) is divided by 0 + (r + -4 - 5).
30
Let g(y) = 2*y**3 - 2*y**2 - y - 4. Let z be ((-3)/(-2))/((-35)/(-10) + -3). What is the remainder when g(z) is divided by (0 + 3)/((-30)/(-80))?
5
Let a(u) = -u**2 + 13*u + 234. Let r be a(36). Let f = r - -602. Calculate the remainder when 14 is divided by f.
6
Suppose -12*q = -6*q - 24. Calculate the remainder when q is divided by 658/752 - 1/(-8).
0
Suppose -2*u = -4*b - 57 + 21, 0 = -3*u + 5*b + 59. Calculate the remainder when 2263 is divided by u.
23
Let h be ((-4)/2)/(4/(-38)). Suppose 5*k + h - 120 = -3*s, -2*k = 10. What is the remainder when s is divided by 17 - 1/1 - 1?
12
Let o(x) = x**2 - 9*x + 6. Let w be o(5). Let u be 54/w + (-5)/35. What is the remainder when 66 is divided by 120/u*(-2)/5?
6
Let u(z) = -7*z + 2. Let d(l) = -l. Let f(q) = -34*d(q) + 6*u(q). What is the remainder when 214 is divided by f(-3)?
34
Let c be (6/8)/(2/24). Let k be 21/c + (-3)/9. Let z(v) = 17*v + 2. What is the remainder when 142 is divided by z(k)?
34
Suppose 5*u - 1 = 2*x, -5 = -x - 6*u + 3*u. Suppose 2*r - x*f = -304 - 42, 2*r = 3*f - 345. Let w = -111 - r. Calculate the remainder when w is divided by 23.
17
Let t(c) = -5*c + 36. Let b be t(6). Suppose 0 = -b*n + 187 + 113. Calculate the remainder when n is divided by 9.
5
Suppose -2*i - 2*b + 510 = 2*b, 4*b + 1056 = 4*i. Suppose 2*z + t - 204 = -z, 5*t - 96 = -z. What is the remainder when i is divided by z?
63
Suppose 53*p - 128 = 49*p - 4*h, 130 = 4*p + 2*h. What is the remainder when 97 is divided by p?
31
Let s(t) = -t**2 - 30*t - 153. Let i = 727 - 745. What is the remainder when 131 is divided by s(i)?
5
Suppose 177 = 5*n - 133. Suppose -11*v = -9*v - 31 - 339. What is the remainder when v is divided by n?
61
Calculate the remainder when 119/17 - (2 + 6) - -897 is divided by 23.
22
Let b = 71491 + -71420. Let d(w) = -3*w**3 + 5*w**2 + 9*w - 6. Calculate the remainder when d(-7) is divided by b.
69
Let y(u) be the third derivative of u**6/120 + 3*u**5/20 + 5*u**4/24 - 29*u**3/6 + 44*u**2 - 2. What is the remainder when 66 is divided by y(-7)?
32
Suppose -70*a = -60*a - 120. What is the remainder when 587 is divided by a?
11
Let q = 1981 - 1761. What is the remainder when q is divided by 172?
48
Let u(t) = 25*t - 106. Calculate the remainder when u(61) is divided by 470.
9
Let g = 54 + -10. Let u = -10 - -15. Suppose -u*s = -2*s - 48. What is the remainder when g is divided by s?
12
Let n be (-3 - 2)*(-3)/(-5). Let d be (9 + 0)/(1*3/n). What is the remainder when ((-21)/9)/((-4)/(-16))*d is divided by 13?
6
Let j = -2477 - -2518. What is the remainder when 530 is divided by j?
38
Let j = -12 + 18. Let h(g) = -7*g + g - g**2 + 21 - 17 + 0*g. Calculate the remainder when j is divided by h(-6).
2
Let a(u) = -35*u. Let w be a(0). Suppose w = -4*k - v + 167, 28 = 5*k + 5*v - 162. Calculate the remainder when 145 is divided by k.
16
What is the remainder when 1491 is divided by 6 - 16/(112/(-21))?
6
Suppose -3*b = -883 - 3812. Calculate the remainder when b is divided by 14.
11
Let u = 32580 - 31955. Calculate the remainder when u is divided by 37.
33
Let v(p) = 5*p - 1. Let f(j) = -j**2 - 7*j + 7. Let q be f(-6). Let k be v(q). Suppose 9*c - 8 = k. What is the remainder when 13 is divided by c?
5
Let m be 2*1 - (-3 - 366/6). Suppose 4*d = -0*d. Suppose 0 = -d*c + 3*c - m. What is the remainder when 42 is divided by c?
20
Suppose -25*c - 754 + 2204 = 0. What is the remainder when 2897 is divided by c?
55
Suppose 4*h + 4 - 21 = 3*q, -h + 8 = 3*q. Suppose 4*o = -q + 45. What is the remainder when 90 is divided by o?
2
Let f(z) = 9*z**2 + 3*z + 264. Let k = -4 - -18. What is the remainder when f(0) is divided by k?
12
Let u(b) = -b**3 + 13*b**2 + 32*b - 107. What is the remainder when u(11) is divided by 48?
7
Let n be -4*1731*7/(-84). Let j = n + -571. What is the remainder when 1*(-2)/6*-51 is divided by j?
5
Suppose 298 = 3*c - 4*a, 5*c - 5*a - 635 = -130. Calculate the remainder when 1752 is divided by c.
56
Suppose 4*z = 10*z - 570. Let y = z - 99. What is the remainder when 1323/(-6)*y/6 is divided by 37?
36
Let r be -3 - (3 + (-52 - 5)). Let i = 53 - r. Suppose 2 + i = q. What is the remainder when 15 is divided by q?
3
Let f = 5478 - 1633. Calculate the remain | {
"pile_set_name": "DM Mathematics"
} |
st the prime factors of g.
47
Suppose 19 - 24 = 5*h. Let r(s) be the third derivative of -49*s**4/24 + s**3/3 + 6*s**2. What are the prime factors of r(h)?
3, 17
Let z = 768 + -279. List the prime factors of z.
3, 163
Let j(s) = s**2 - 6*s + 1. Let g be j(7). Suppose g*f - 287 = 73. Suppose -2*w + 3*d = -129, 2*d - f = -w - 3*d. List the prime factors of w.
2, 3, 5
Let t = 33 + -24. Suppose -t - 35 = -2*k. Suppose 8*a = 6*a + k. List the prime factors of a.
11
Suppose -5*m + 100 = -0*m. Suppose -33 = 8*q - 5*q. Let y = q + m. What are the prime factors of y?
3
What are the prime factors of -459*(-1)/4 + 1/4?
5, 23
Suppose -3*t = 3*q + 2*t + 52, -5*q - 92 = 3*t. Let w = q + 43. What are the prime factors of w?
2, 3
Let t = 19 - -5. Let y be (11/(-1) - 0)/(3/(-6)). Let i = t - y. List the prime factors of i.
2
Suppose 69 = -2*a + 5*a. Suppose 10 = g - a. What are the prime factors of g?
3, 11
Suppose 5*b - 370 = -5*t, -3*b + b + 4*t = -154. Suppose b - 63 = j. List the prime factors of j.
2, 3
Suppose -5*b + s - 2*s = -33, 4*b + 2*s = 30. Let g(h) be the first derivative of 2*h**2 + 6*h + 4. List the prime factors of g(b).
2, 3, 5
Let z = -3 - -7. Suppose -5*k = -4*v + 174, -z*k + k - 3*v = 126. List the prime factors of k/(-6) - (-3)/(-9).
2, 3
Let h(b) = -b**3 - 9*b**2 - 3*b + 19. Let d be h(-6). Let a = 75 - d. What are the prime factors of a?
2, 73
Suppose 2*t = -2*i + 2149 + 971, 0 = -4*t - 2*i + 6244. List the prime factors of t.
2, 11, 71
Suppose 0 = -0*m + 6*m + 72. Let l be ((-8)/m)/(1/3). Suppose 3*g = -l*c - c + 108, -c + 70 = 2*g. List the prime factors of g.
2, 17
Suppose 5*d + 2*m = 15, 5*d - 31 = -5*m - 1. What are the prime factors of 17 - 19 - (-32)/d?
2, 3, 5
Suppose 101*j - 2391 = 98*j. What are the prime factors of j?
797
Let v = -1731 + 3002. List the prime factors of v.
31, 41
Let m = -16 - -18. Let o(y) = y + 5*y - 4*y - 3 + 7*y**m - 1 + y**3. List the prime factors of o(-4).
2, 3
What are the prime factors of (26/10 + -3)*(15 - 1565)?
2, 5, 31
Let l(z) be the first derivative of z**4/4 - 3*z**3 + 7*z**2/2 - 3*z - 17. What are the prime factors of l(9)?
2, 3, 5
Let l(w) = -97*w**3 + 6*w**2 + 4*w - 5. Let b(s) = s**3 + s**2 + s - 1. Let r(n) = 6*b(n) - l(n). List the prime factors of r(1).
2, 13
Suppose -3*c = -2 + 14. What are the prime factors of (-4044)/(-27) + c/(-18)?
2, 3, 5
Let r = -120 + 597. What are the prime factors of r?
3, 53
Let s(v) = 6499*v**2 + 2*v + 1. Let y be s(-1). What are the prime factors of 24/15 + -2 - y/(-45)?
2, 3
List the prime factors of (-438)/15*520/(-16).
13, 73
Let k = 2 - -8. Let u(t) = -t**3 - 10*t**2 + 6*t - 8. Let b(m) = -m**3 + m + 1. Let f(x) = -2*b(x) + u(x). List the prime factors of f(k).
2, 3, 5
List the prime factors of (8304/(-9) - -2)/(57/(-171)).
2, 1381
Suppose -5*q - 50 = w - 6*w, 3*q + 2*w + 55 = 0. Let a be (1 - 21/q)*5. Let r = a - -21. What are the prime factors of r?
3, 11
Let y(l) = l**3 - l**2. Let f be y(2). Suppose -4*o + 4*p = -40, -2*o = 3*o - f*p - 52. List the prime factors of o.
2, 3
Let q(s) = -152*s + 88. What are the prime factors of q(-10)?
2, 3, 67
Suppose h = -4*c - 28, -2*h = -2*c - h - 8. What are the prime factors of 58*(-4)/(c/3)?
2, 29
Let o(m) = -25*m**3 + 3*m**2 + m + 18. Let t(p) = 13*p**3 - 2*p**2 - 9. Let s(n) = 3*o(n) + 5*t(n). What are the prime factors of s(-3)?
3, 29
Suppose -56*d = -62*d + 1728. List the prime factors of d.
2, 3
Suppose 3*g + 2 = 4*m, 0 = g - 6*g + 4*m + 10. Suppose 31 = g*o - 5*o. List the prime factors of o.
31
Let o(u) be the first derivative of 5*u**2/2 + 41*u + 1. List the prime factors of o(18).
131
Let n be (13 - (-1 - -4)) + 5. What are the prime factors of 6/n + 1866/10?
11, 17
Let c(f) = -f**3 + 3*f**2 + f + 2. Let n be c(3). Suppose p + n = 211. List the prime factors of p.
2, 103
List the prime factors of 6/(-57) - (-50328)/152.
331
List the prime factors of 2 + 77/(-44) + (-9561)/(-12).
797
Let p(n) = 135*n + 637. What are the prime factors of p(18)?
3067
Let p = -12 - -11. Let y be (0 - p - 0)*-1. What are the prime factors of y*(-3)/(-3) - -33?
2
Let b(g) = g + 136. Let q be b(0). Suppose d - 6*v = -2*v + 61, v = 2*d - q. List the prime factors of d.
3, 23
Let d(g) = 0*g**2 + 5 + 2*g**2 + 2*g**2 - 11*g - 1. Let v be d(4). What are the prime factors of (v/14)/(8/252)?
2, 3
Let m = 523 + -151. What are the prime factors of m?
2, 3, 31
Let v be (-4)/(-3)*18/4. Suppose 0 = v*p - 2*p - 36. What are the prime factors of (6/p)/((-6)/(-63))?
7
Let p = -35 + 40. Suppose 460 - 85 = p*d. What are the prime factors of d?
3, 5
Suppose -2*l - 4*a + 50 = 0, 4*a - 112 = -4*l - a. Let f = 38 - l. List the prime factors of 332/f - (-3)/5.
67
Suppose -z - 2 = 5. Let q(m) = m**3 + 7*m**2 - 15*m + 6. What are the prime factors of q(z)?
3, 37
Let b be (48/(-15))/(4/(-10)). Let c = b - 14. What are the prime factors of 8/(-3)*1*c?
2
Let b(g) = -2*g**2 + 11*g + 1. Let v be b(8). Let h = -34 + -26. Let p = v - h. What are the prime factors of p?
3, 7
Let d(h) be the second derivative of -7*h**3/2 - 9*h**2/2 + 21*h. What are the prime factors of d(-3)?
2, 3
What are the prime factors of (-7 - -8 - (-4 + 3))*1351?
2, 7, 193
Suppose -7*q + 2039 - 492 = 0. Let t = q - 1306. What are the prime factors of (-2)/(t/(-365) - 3)?
73
Let x(h) = 6*h - 21. Let i be x(4). Let f(o) = 11*o + 13. List the prime factors of f(i).
2, 23
Suppose 5*b = 8 - 48. Let q = b - -13. Let x(k) = -k**2 + 6*k - 1. List the prime factors of x(q).
2
Suppose -4*r - r = -4*p - 479, 0 = -4*r + p + 381. Let k = r + -55. What are the prime factors of k?
2, 5
Suppose 2*x - 2*z + 199 = -3*z, 5*z + 490 = -5*x. Let q = x + 238. List the prime factors of q.
137
Let k(f) = f - 7. Let b be (3 - 1)*(3 + -1). Let s be k(b). List the prime factors of 1 - s - 6/(-3).
2, 3
List the prime factors of 3445 - -1*(-104)/13.
7, 491
Let a be 52/(-6)*(4 - 7). Suppose 4*v - 154 - a = 0. List the prime factors of v.
3, 5
Suppose -h + 134 = -0*h. Suppose -834 = -5*u - h. What are the prime factors of u?
2, 5, 7
Suppose 0 = j + 2*i, -4 = 5*i + 6. Suppose 5*m - f = 3*f + 150, j*f - 6 = -m. What are the prime factors of m?
2, 13
Let q(i) = 5*i**3 - 4*i**2 - 4. Let x be q(3). Suppose 3*b = -2*b - x. Let y = b - -47. List the prime factors of y.
2, 7
Suppose 5*w - 12 - 250 = -2*u, -3*u = -2*w - 431. List the prime factors of u.
3, 47
Suppose -1216 - 998 = -9*h. What are the prime factors of h?
2, 3, 41
Let q(z) = 3*z + 2*z + z**2 - z + z - 2. Let p be q(-6). Suppose -12 = -4*c + p*l - 0*l, 0 = 3*c + 5*l - 33. What are the prime factors of c?
2, 3
Suppose -19*u + 168 = 2*u. Suppose 0 = -3*f - 2*r + 1, 31 = 7*f - 2*f - 4*r. List the prime factors of (-2)/f*(-324)/u.
3
Let f be (120/(-21) - 0)*7/(-2). Suppose 0 = 76*c - 80*c + f. What are the prime factors of c?
5
Suppose -5*b + 10*b = -20. Let m(o) = -2*o - 3. Let j be m(b). Suppose j*d + c = 169, d - c = 18 + 11. List the prime factors of d.
3, 11
Let l = 104 + -148. Let i = l - -74. What are the prime factors of i?
2, 3, 5
Let t be ((-9)/4)/((-3)/72). Let g = 97 - t. Suppose 0 = -i - 4 + g. What are the prime factors of i?
3, 13
Let f(w) = w**3 - 7*w**2 + 8*w + 1. List the prime factors of f(6).
13
Suppose -1040 = -3*l - 200. Suppose 4*m = -4*d + l, 2*d = -2*d - 5*m + 280. What are the prime factors of d?
2, 5, 7
Suppose 230 = o + g - 245, -2*g = 5*o - 2378. What are the prime factors of o?
2, 7, 17
Let u(t) = -50 - 9*t + 10 + 2*t. What are the prime factors of u(-22)?
2, 3, 19
Let j(y) = -4*y + 19. Let r be j(0). Let k(a) = a**3 - 20*a**2 + 20*a - 16. Let n be k(r). Suppose -n*h + 4 = -2*h. List the prime factors of h.
2
Suppose 8*a - 3 = 9*a. What are the prime factors of a - -2 - (-1 - 22)?
2, 11
Let z = -2210 - -5191. List the prime factors of z.
11, 271
Suppose -f - 5 = -0. Let k = f - -7. Suppose 39 + 1 = k*h. What are the prime factors of h?
2, 5
Suppose -150*u = -136*u - 17668. What are the prime factors of u?
2, 631
Suppose s - 3*v - 673 = 0, 767 = 2*s - 2*v - 567. What are the prime factors of s?
2, 83
Let n = 31 - 79. List the prime factors of (1 - 6/4)*n.
2, 3
Let c = -1074 - -2982. What are the prime factors of c?
2, 3, 53
Suppose j - 11 = -s, -2*j + 0*s - s = -19. Let o(k) = k**3 - 9*k**2 - 8*k - 4. Let g be o(j). What are the pri | {
"pile_set_name": "DM Mathematics"
} |
- 2*f. Let d(y) = 2*y**2 - 11*y + 13. Let a(k) = -k + 1. What is the least common multiple of d(i) and a(-5)?
114
Suppose -g + 32 = -3*k, -20 = -0*k + 5*k. Suppose -5*u = -3*x + 35, 0*u + 13 = x - 2*u. Suppose x*q - q = 64. Calculate the least common multiple of g and q.
80
Let a be (-1 + -20)*(-11)/33. Suppose -a*x + 4*x = 108. What is the common denominator of 17/5 and ((-9)/(-12))/(x/776)?
30
Let d(f) = 2*f + 25. Let c(h) = -h**2 - 3*h + 10. Let b be c(3). Calculate the least common multiple of 10 and d(b).
90
Let d be 9*(-2 + 7/3). Suppose 2*q + 4*a = 66, -d*q + 7*q - 80 = 5*a. Let g = -72019/14 + 5147. Find the common denominator of q and g.
14
What is the smallest common multiple of 196*(10/(-15))/(14/(-36)) and 63?
1008
Let x = 623/5 + -7301/60. Let f = -4889/248 - 9/248. Calculate the common denominator of x and f.
12
Let x = -587/210 - -2/21. Let t = -2500 - -823. Let g = t - -8328/5. Find the common denominator of g and x.
10
What is the common denominator of -61/6 and 1890/(-7776) + 1/(-16)?
36
Let s be -3 - (-17 + 8/2). Calculate the lowest common multiple of 3 and (0 - 25)/(-5) + s.
15
What is the common denominator of (-5 - (-32)/6) + -5 and 31/216?
216
Suppose 3*t - 1 = 32. Let l = -31 + t. What is the lowest common multiple of (24/l)/(3/(-50)) and 18?
180
Let o(v) = -15*v**2 + 3*v - 2. Let b be o(-3). Let m = b + 986/7. Find the common denominator of m and (-10)/35 - ((-190)/77 - 2).
77
Let q = -11 + 11. What is the least common multiple of 6 and (-1)/(q - 1/11)?
66
Let l = -43/3 - -145/9. Calculate the common denominator of l and -41/186.
558
Suppose 3*i + 2*i + n = -47, 0 = -i - 4*n + 2. Let x = i + 14. Let f(s) = -s**2 - 5*s + 8. What is the smallest common multiple of x and f(-6)?
4
Let y(d) = 17*d + 246. Calculate the smallest common multiple of y(-9) and 93.
93
Suppose 4*b - 5*n - 239 = 0, 2*b = n + 63 + 52. Calculate the smallest common multiple of b and 26.
728
Let l = 81323843/12 - 6758740. Let g = l + -18257. Find the common denominator of g and 71/18.
36
What is the lowest common multiple of 65 and (-30)/168*-292 - (-2)/(-14)?
260
Let f = -29486 - -3184433/108. Find the common denominator of f and 80/21.
756
Let h(g) = -11*g - 105. Calculate the smallest common multiple of h(-25) and 12.
1020
Let g = -7 + 51. What is the least common multiple of g and 12?
132
Let u be (-10)/(-20) + (-3)/(-2). Suppose -u*i + 3 = -1. Let r = 70 + -50. What is the lowest common multiple of i and r?
20
Let y = 38645/12 + -3214. Let o = 8617 - 181012/21. What is the common denominator of y and o?
84
Suppose 223 = o + 235. Calculate the common denominator of -143/246 and o.
246
Suppose -8*d + 3*v = -6*d - 97, 0 = 4*d - 3*v - 185. Calculate the smallest common multiple of d and 12.
132
Let v = 1081 - 6457/6. Let w = -2143/126 - -142/7. What is the common denominator of v and w?
18
Suppose -15*b = 11*b - 4*b - 44. Suppose -2*i + d - 9 = -23, -2 = -d. What is the smallest common multiple of i and b?
8
Suppose -28*w + 2108 + 43420 = 0. What is the least common multiple of 2 and w?
1626
Suppose 2*g + 3 = 3*g. Suppose -x - 2*p + 7 = 0, 0*x + 17 = 4*x - g*p. Suppose -x*y + 18 = -22. Calculate the least common multiple of 8 and y.
8
Suppose -2*s - 8 = -j, 2*j + 6*s - 2 = 3*s. Suppose -3*a = -2*a - j. What is the least common multiple of 16 and a?
16
Let u(j) = 52*j + 4. Let p be u(3). Find the common denominator of ((-26)/65)/(6/p) and 61/2.
6
Let i(b) = b**2 + 21*b + 10. Let c be i(-21). Calculate the common denominator of (-6)/15*150/14 and c*5/270 - 3.
189
Suppose 0 = -1667*g + 1659*g + 880. Calculate the lowest common multiple of 190 and g.
2090
Suppose 4*q + w + 305 = 8*q, 4*w = -4*q + 320. Calculate the least common multiple of 49 and q.
539
Let r = -1 + 13. Let t be (-1176)/(-36) + (-2)/(-6). Suppose 8*b = t + 79. What is the least common multiple of r and b?
84
Suppose 0 = -5*r - 4*f + 14, 24*r + 20 = 28*r + f. What is the least common multiple of 3 and r?
6
Let n(q) = q**2 + 27*q - 102. Calculate the lowest common multiple of 4 and n(-31).
44
Let p(b) = -b**3 + b**2 - b. Let z be p(-3). Find the common denominator of z/(-60)*36/33 and 1/45.
495
Suppose 21*x + 67 = 23*x + u, -3*u = 4*x - 129. What is the smallest common multiple of 282 and x?
1692
Let i = -4/91 - 3541/182. Calculate the common denominator of i and 39/20.
20
Let b = -22 + 54. Let n = 6 - b. Let o = n - -48. Calculate the least common multiple of o and 22.
22
Let r(y) = -y**3 - 29*y**2 + 31*y + 44. Let a be r(-30). Calculate the smallest common multiple of 4 and -251*(-2)/a + 5/35.
36
Calculate the least common multiple of -3*(-2 + 55/11) + 51 and -6*2/3*-2.
168
Calculate the common denominator of -57/28 and (2952/(-154))/4 - 132/(-33).
308
Let y = -283405919/171294 - 2/85647. Let z = y - -14849/9. Calculate the common denominator of ((-1)/(-12))/((-3)/(-74)) and z.
18
Suppose -3*w - t + 14 = 0, 0*w + 12 = 2*w + 2*t. Let b = w + -2. What is the smallest common multiple of (0 - b)*8/(-4) and 12?
12
Suppose -18 - 66 = -4*k. Let t = 13 - k. Let c = -5 - t. What is the smallest common multiple of 7 and c?
21
Suppose 0 = -2*s - 141 + 41. Let l = s + 71. Calculate the common denominator of l/(-6) + 2/(-3) and 51/14.
42
Suppose 3*p - 6 = 0, -t - 4*p + 6 = -2*t. Let c(v) = 2*v**2 - 5*v + 3. Let y be c(1). Let g = t + y. What is the lowest common multiple of 3 and g?
6
Find the common denominator of -149/882 and (8 - (-819)/(-104))*(-452)/(-3).
882
Let z = 8699/7964 + -1/724. Let d be (2 - 4)/(-1) + -72. Calculate the common denominator of (1/3)/(d/408) and z.
385
Let u = -236/859 + 107321/206160. What is the common denominator of u and 113/138?
5520
Let f = 20/969 + -58313/149226. What is the common denominator of f and 3/8?
616
Let i = -502 - -507. What is the lowest common multiple of 40 and i?
40
Suppose -3*v + 750 = 7*x, -3*x = 6*v - 10*v + 963. Calculate the lowest common multiple of v and 33.
2673
Let u = 20469/14 + -1460. Find the common denominator of u and ((-166)/(-6))/((-16)/6).
56
Let i = -3 - 5. Let a = 22 + i. What is the least common multiple of -1 + 1 - 17/((-51)/30) and a?
70
Suppose -8*c = -261 + 69. What is the common denominator of 13/14 and 4/14*450/c?
14
Suppose 2*n + 0*n - 20 = -4*u, -4*n + 3*u - 4 = 0. Suppose -3*b = n*b - 80. What is the common denominator of 0 and b?
1
Let g = -1049627/48 - -21868. What is the common denominator of -37/18 and g?
144
Suppose -5*b + 2*s + 214 = 0, s - 38 = -5*b + 170. Calculate the smallest common multiple of 91 and b.
546
Let x be 18/2 - (11 - 14). Suppose x + 8 = 5*z. Let v(a) = a + 2. Calculate the lowest common multiple of v(z) and 1.
6
Calculate the least common multiple of 60 and (8/(-6))/((-114)/855).
60
Calculate the common denominator of 119/18 and (-21)/(-144)*26 - -2.
72
Suppose 0 = -2*w + 4, 4*v + 6*w = 8*w + 12. What is the smallest common multiple of ((-2 - -6) + -1)*2 and v?
12
Calculate the lowest common multiple of 1310 and 9/1 - (-675)/75.
11790
Let m = -183343806607/115644 + 36464738/23. Let k = 2/1257 + m. Let u = -370931/125780 - 6/6289. What is the common denominator of u and k?
20
Let c be -1 + -2 + 2 + 1. Suppose -4*k + 108 = -c*k. Suppose k = 3*l - 3*s, l + 0*l - 1 = 5*s. Calculate the smallest common multiple of 6 and l.
66
Suppose 3*j + z = 4, 9 = 5*j - 4*z - 9. Let f(n) = n**3 + 2*n**2 - 5. What is the least common multiple of f(j) and ((-4)/6)/((-3)/27)?
66
Let k = -74 - -13. Let a = k + 91. Calculate the lowest common multiple of 9 and a.
90
Let m = 9200/21 - 437. Find the common denominator of m and -53/27.
189
Let v = 121 - 109. Let u = 1 + -1. What is the smallest common multiple of v - (2 + u/1) and 6?
30
Let h be (2/10)/((-12)/303130). Let b = h - -5065. Calculate the common denominator of 85/158 and b.
474
Let f = -1039639/35 - -29702. Calculate the common denominator of f and -41/7.
35
Let q be -6 + -3 - 23920/(-32). Let u be -716 - 1*(0 - 1). Let d = q + u. Calculate the common denominator of 45/11 and d.
22
Suppose -3*f - 316 + 286 = -5*w, 2*w - 5*f = -7. Calculate the least common multiple of 48 and w.
144
Let m(j) = j**3 - 11*j**2 + 14*j - 14. Let t be m(10). What is the lowest common multiple of 11 and (-1 + 0)/(t/(-520))?
220
Calculate the common denominator of 0 - 1*(-102)/16 a | {
"pile_set_name": "DM Mathematics"
} |
-207*a**3 + 2*a**2 - 6*a - 5. Let o(p) = 623*p**3 - 7*p**2 + 16*p + 14. Calculate 8*h(f) + 3*o(f).
213*f**3 - 5*f**2 + 2
Let a(g) = 1190*g**2 + 13*g - 4 - 2382*g**2 - 12*g**3 + 77*g**3 + 1192*g**2. Let c(b) = -32*b**3 - 6*b + 2. What is 6*a(o) + 13*c(o)?
-26*o**3 + 2
Let p(m) = m**3 - 3*m**2 - 9. Suppose -8 = -3*j + 4*b, 3*j - 3*b - 17 = -2*j. Let w be p(j). Let n(r) = -8*r + 4. Let i(u) = -9*u + 5. Give w*n(d) - 6*i(d).
-2*d - 2
Let j(i) = 9*i**3 - 177*i**2 + 4*i - 6. Let m(o) = 8*o**3 - 158*o**2 + 3*o - 5. What is -5*j(b) + 6*m(b)?
3*b**3 - 63*b**2 - 2*b
Let m(h) be the third derivative of -3*h**4/8 - h**3 + 18*h**2. Let x(d) = -47*d - 203. Let r(y) = 31*y + 128. Let z(a) = 8*r(a) + 5*x(a). Give 7*m(q) + 5*z(q).
2*q + 3
Let s(i) be the third derivative of -i**6/120 + i**4/6 - 7*i**3/6 - 5*i**2 + 2*i + 39. Let j(p) = 2*p**3 - 3*p + 6. Calculate -5*j(x) - 4*s(x).
-6*x**3 - x - 2
Let z = 11 - 23. Let j = 16 + z. Let v(l) = 2 - 7*l + 5 - 12 + 8. Let y(r) = 6*r - 2. What is j*y(d) + 3*v(d)?
3*d + 1
Let a(j) be the second derivative of j**5/20 - j**4/6 - j**3/2 + 4*j + 172. Let p(d) = -2*d**2 - 4*d + 1. Give 4*a(n) - 3*p(n).
4*n**3 - 2*n**2 - 3
Let s(d) = 3*d**2 + 1. Let a(p) be the first derivative of 4*p**3/3 + 2*p + 5397. What is -5*a(i) + 6*s(i)?
-2*i**2 - 4
Let b be 658/(-6) + 23/(-69). Let g = 99 + b. Let m(k) = 3*k - 6. Let r(j) = j + 1. Let y(l) = m(l) + 5*r(l). Let c(t) = -23*t + 3. Determine g*y(q) - 4*c(q).
4*q - 1
Let k(n) = -3*n - 91. Let g(c) = -23. Let w(l) = 4*g(l) - k(l). Let p(i) = -12*i + 5. What is 6*p(z) + 26*w(z)?
6*z + 4
Let j(c) = 5*c**2 + 2*c - 87. Let u(f) = -16*f**2 - 5*f + 175. Determine -7*j(a) - 3*u(a).
13*a**2 + a + 84
Let q(x) = -17*x**2 + 453*x + 49. Let l(w) = 8*w**2 - 227*w - 22. Determine -11*l(c) - 5*q(c).
-3*c**2 + 232*c - 3
Let o(f) = -7*f + 8. Let l(p) be the first derivative of 4*p**2 - 7*p + 219. Let a(y) = -6*y + 5. Let d(z) = -7*a(z) - 6*l(z). Give 6*d(t) - 5*o(t).
-t + 2
Let t(h) = -h + 30. Let m(x) = -37218*x + 744360. What is m(s) - 24812*t(s)?
-12406*s
Let s(b) = b + 8. Let r be s(-4). Let f(w) = 2*w**2 + 2*w + 4. Let l = 5185 + -5194. Let u(o) = 5*o**2 + 5*o + 9. Calculate l*f(j) + r*u(j).
2*j**2 + 2*j
Let g(x) = -x**3 - x**2 - 12*x. Let s(y) = 652*y**3 + 2*y**2 + 24*y - 15. Determine -2*g(b) - s(b).
-650*b**3 + 15
Let x(c) be the first derivative of -c**4/4 - 2*c**2 - 2*c - 7. Let q(w) be the third derivative of w**4/24 + 30*w**2 - 46*w - 2. Determine -3*q(j) - x(j).
j**3 + j + 2
Let d(r) = 3*r**3 + 5*r**2 - r + 3. Let z(k) = -k**2 - k - 1. Suppose 817*g - 825*g = 8. Give g*d(f) - 4*z(f).
-3*f**3 - f**2 + 5*f + 1
Let u(z) = -24*z**2 - 2*z - 3. Let b(g) = 24*g**2 + 2*g + 2. Let s = 15657 - 15661. Calculate s*b(i) - 3*u(i).
-24*i**2 - 2*i + 1
Let b(t) = 8*t**2 - 2. Let y(o) be the second derivative of -o**4/12 + o. Let u be ((-341)/(-62))/(-1 - (-87)/84). Let j = -150 + u. Give j*y(m) + b(m).
4*m**2 - 2
Let j(k) = 20*k**3 - 57*k**3 + 10*k**3 + 15*k**3 + 11*k**3. Let h(d) = d**3. Determine 3*h(v) - j(v).
4*v**3
Let q(m) be the second derivative of -m**4/6 + m**3 + 4*m**2 - 2068*m - 1. Let t(p) = -2*p**2 + 5*p + 7. What is -5*q(d) + 6*t(d)?
-2*d**2 + 2
Let c(n) = 3*n - 3. Let y(s) = -5*s + 82. Let v be y(16). Let u(w) = -15*w - 23 + 6*w + 33. Determine v*u(r) + 7*c(r).
3*r - 1
Let z(p) = 5*p**2 - 20*p + 28. Let n(w) = -w**3 + 7*w**2 - 24*w + 28. Give 5*n(g) - 6*z(g).
-5*g**3 + 5*g**2 - 28
Let t(d) = -1074*d + 7. Let l(u) = -1076*u + 8. What is -5*l(a) + 6*t(a)?
-1064*a + 2
Let y be (-1)/(1 - (1 + 5/70)). Suppose 3*b + y = -2*d, -11 + 9 = b. Let v(j) = -4*j**2 - 4*j - 4. Let n(u) = -2*u - u + 4*u + 1. Calculate d*n(a) - v(a).
4*a**2
Let f = 16083 - 16087. Let r(y) = 5*y**3 + 5*y**2 - 6*y + 8. Let s(d) = 4*d**3 + 4*d**2 - 5*d + 7. Calculate f*s(z) + 3*r(z).
-z**3 - z**2 + 2*z - 4
Let u(v) = -12*v + 2. Let d(h) be the second derivative of -64 - 2*h + h**3 - 1/2*h**2. What is -5*d(n) - 2*u(n)?
-6*n + 1
Let v(w) = 2*w**3 - 21*w**2 - 24*w + 10. Let b(x) = -3*x**3 + 14*x**2 + 24*x - 10. Give 3*b(c) + 2*v(c).
-5*c**3 + 24*c - 10
Let l(n) = 2*n - 4. Let s(x) = -5*x + 7. Let z(f) = 5*l(f) + 3*s(f). Let t(r) = -21*r + 158588 - 317172 + 158589. Give -2*t(v) + 9*z(v).
-3*v - 1
Let u(n) = -165*n - 2. Let q(t) = 157*t + 3. Calculate -3*q(m) - 2*u(m).
-141*m - 5
Let x(w) = 11*w - 5. Let o(h) = -65*h + 28. Let g(f) = o(f) + 6*x(f). Let s(p) = -p + 5. Determine -5*g(z) - 3*s(z).
-2*z - 5
Let h(g) = -15*g**2 - 10*g. Let y(b) be the third derivative of b**5/6 + 7*b**4/24 + b**2 + 128. Give -5*h(a) - 7*y(a).
5*a**2 + a
Let p(j) = -47*j - 24 + 48 - 4. Let n(h) = 16*h - 7. Determine -11*n(k) - 4*p(k).
12*k - 3
Let i(y) = -2*y**2 - 9*y - 6. Let u(l) = 6 - 2*l**2 - 2 + 1 + 3*l**2 + 8*l + l**2. Suppose -3 = -w - 2*w, -12 = -3*n + 3*w. Calculate n*i(t) + 6*u(t).
2*t**2 + 3*t
Let f(u) = u**3 + u**2 - 1. Let x be (-20)/(-3)*((-1)/(-4) - -2). Let n be 54/(-18) + (x - 1). Let w(q) = -4*q**3 - 6*q**2 + 5. Determine n*f(v) + 2*w(v).
3*v**3 - v**2 - 1
Let q(o) = o**2 - 31*o + 47. Let a(n) = -n**2 + 33*n - 50. Calculate -17*a(g) - 18*q(g).
-g**2 - 3*g + 4
Suppose -3*p - 16 = -p. Let g(u) = 17*u - 3. Let r(d) = 11*d - 2. Suppose c - 4*q = -11, 7*c - 4*q = 8*c - 21. Give c*g(w) + p*r(w).
-3*w + 1
Suppose -17 = -29*f + 28 + 13. Let a(z) = 3*z**3 - z. Let v(n) = 3*n**3 - n. Suppose -b - 7 = -2*c + 3*c, -c + 5*b + 17 = 0. What is c*a(u) + f*v(u)?
-3*u**3 + u
Let n(z) = -z - 3. Let m(v) = -3*v - 6. Let y be (-48)/9 - (-115)/(-69). Give y*n(i) + 3*m(i).
-2*i + 3
Let x(w) = -5*w**2 + 3*w + 3. Let z(h) = 60*h**2 - 66*h**2 + 4 + 5*h - h. Suppose 4*c = -6*c + 360. Let i = c - 33. Calculate i*z(l) - 4*x(l).
2*l**2
Let y(r) = -19*r**2 - 265*r + 41. Let z(w) = -5*w**2 - 66*w + 11. Calculate -4*y(j) + 15*z(j).
j**2 + 70*j + 1
Let q(y) = 2*y + 11. Let x(u) = 3720*u + 54. What is 5*q(b) - x(b)?
-3710*b + 1
Let r(f) = 5*f**3 + 5*f**2 - 3*f - 4. Let q(c) = -4*c**3 - 4*c**2 + 2*c + 3. Let a = 365 - 362. What is a*q(x) + 2*r(x)?
-2*x**3 - 2*x**2 + 1
Let f(x) = 2*x**2 + 3*x. Let m(h) = 6*h**2 + 8*h. Suppose 8*z = 9 + 23. Suppose 3*v - 24 = -4*r, 3*r - z*r + 24 = 3*v. Give v*f(i) - 3*m(i).
-2*i**2
Let y(x) = 5413*x - 2. Let b(q) = 3*q + 1. Determine 2*b(v) + y(v).
5419*v
Let d(r) = 4*r**2 + 3597. Let q(z) = 10*z**2 + 10792. Determine 8*d(w) - 3*q(w).
2*w**2 - 3600
Let l(d) = -7*d**2 + d. Let c(u) = -3*u**2 - 55*u + 279. Let r be c(4). Let w(g) = -13*g**2 + 3*g. What is r*l(x) - 6*w(x)?
x**2 - 7*x
Let i = -2 - -6. Let m(h) = -h**2 - 2*h - 4. Let k(w) be the third derivative of -w**5/60 - w**4/24 - w**3/6 - w**2 - 532*w. Give i*k(b) - m(b).
-3*b**2 - 2*b
Let u be ((-15)/45)/((-4)/(-24)). Let w be ((36/(-15))/u)/(39/650). Let v(c) = -4*c**2 - 3*c - 3. Let h(i) = 28*i**2 + 20*i + 20. What is w*v(o) + 3*h(o)?
4*o**2
Let i(h) = -1 - 8 + 6 + 3*h - 2*h. Let j(a) = -a + 4. Let z be 48/(-64) + (-5)/4 + -2. Determine z*i(r) - 3*j(r).
-r
Let n(t) = 5278 - t**2 + 2*t**2 + 5280 - 10556. Let f(s) = -2*s**2 - 3. Suppose 8 = -3*a - a. Calculate a*f(x) - 3*n(x).
x**2
Let u(h) = 3*h**3 - 2*h**2. Let d(k) = 16*k**3 - 100*k**2 + 3. What is -d(j) + 5*u(j)?
-j**3 + 90*j**2 - 3
Let u(j) = j**3 - 3*j**2 - 62*j - 3. Let m = 26686 - 26688. Let v(g) = g**3 - 2*g**2 - 61*g - 2. What is m*u(z) + 3*v(z)?
z**3 - 59*z
Let s(p) = -44*p - 2. Let a(w) = -173*w + 342. What is a(m) - 4*s(m)?
3*m + 350
Suppose -o = -1, b + 3*o = 5*o - 3. Let u(i) = 8*i - 12. Let p(x) = x - 2. Let d(t) = b*u(t) + 5*p(t). Let f(l) = -7*l + 3. Calculate 5*d(k) - 2*f(k).
-k + 4
Let h(o) = 1. Let x(b) = -b**2 - 10*b - 8. Let p be x(-9). Let u(v) = -14. Let a(t) = t - 17. Let q(s) = 3*a(s) - 4*u(s). Give p*q(i) - 4*h(i).
3*i + 1
Let w(k) = -6*k**3 - k**2 + k - 1. Let i(l) = 414*l**3 + 15*l**2 - 15*l + 15. What is 3*i(p) + 45*w(p)?
972*p**3
Let g(j) = 187*j + 748. Let i(k) = -94*k - 409. Give 6*g(p) + 11*i(p).
88*p - 11
Let l(g) = 11*g**3 - g**2 - 9. Let n = -231 + 254. Let q(o) = -5*o**3 - 63 + 19 + 25 + n + o**2. What is 4*l(d) + 9*q(d)?
-d**3 + 5*d**2
Let d(j) = -12*j**3 + 33*j**2 + 7*j - 9. Let r(l) = -5*l**3 + 16*l**2 + 3*l - 4. Calculate -3*d(n) + 7*r(n).
n**3 + 13*n**2 - 1
Suppose -j + 4*j = 21. Let u(m) = 5*m**2 + 5*m + 11. Let l(d) = 2*d**2 + 2*d + 5. Let g = 652 - 652. Suppose -26*q - 59 - 19 = g. Give j* | {
"pile_set_name": "DM Mathematics"
} |
*2. Calculate i(-12).
-3
Let j = 8 + -16. Suppose 3*s = 8*s + 50. Let o = j - s. Let g(n) = -3*n**3 + 4*n**2 - 4*n + 3. What is g(o)?
-13
Let o(t) = -116*t + 467. Let h be o(4). Let r(k) = -2*k - k + 2*k**2 - 2*k + 4. Determine r(h).
7
Let k(v) = 4*v**3 + 29*v**2 + 17*v - 11. Let f(x) = x**3 + 7*x**2 + 4*x - 3. Let d(n) = 9*f(n) - 2*k(n). Give d(-4).
3
Let m(d) be the first derivative of d**3/3 + 2*d**2 + 5*d + 319. Determine m(-5).
10
Let b(p) = -p**2 + 10. Let o be b(4). Let s(a) be the third derivative of -a**4/24 - a**3/2 + 8*a**2. Calculate s(o).
3
Let z(x) = x - 7. Let q(a) = 47*a**2 + a**3 + 11*a + 5 - a**3 - 37*a**2 - a**3. Let m = 35 - 24. Let c be q(m). Calculate z(c).
-2
Let h(w) = -5*w**2 - 9*w - 10. Let u(s) = -17*s**2 - 28*s - 32. Let q(b) = 7*h(b) - 2*u(b). What is q(-4)?
6
Let v(z) be the second derivative of z**5/20 - z**4/3 - 3*z**3/2 + 2*z**2 - 22*z. Give v(6).
22
Let j(s) = -26*s. Let a = 52 + -41. Suppose -3*f - a = -8. Determine j(f).
26
Let f(o) = o**3 + o**2 + 2*o - 2. Let l be f(1). Let w(b) = 8*b**3 + l*b**2 - 7*b + 2*b + 1 + 3*b. Determine w(1).
9
Let x be (-54)/(-7) + 4/14. Suppose -5*r - 28 = -5*b - 93, -x = 2*b. Let i(v) = -8 - 3 + 44*v - 35*v - 8*v. Determine i(r).
-2
Let w(k) = k**2 + 2*k + 6. Let h(l) = -l**3 - 24*l**2 - 40*l + 93. Let b be h(-22). Determine w(b).
41
Suppose 4*m - 2*m = -2*h, -h + 2*m + 6 = 0. Suppose 4 = h*p + 2*o, 3*p + p - 4*o = 40. Let y(w) = w - 13. Determine y(p).
-7
Suppose 7*g = 50 - 1. Let z(h) = -h + 8. Determine z(g).
1
Suppose 2*q = 14 - 0. Suppose -2*x = -q*x + 10. Let l(n) = -2*n**2 + n + 1. Calculate l(x).
-5
Let i(w) = w**3 + 4*w**2 - w - 4. Suppose -2*g + 0*k = 4*k + 26, g - 12 = 3*k. What is i(g)?
8
Let y(q) = 2*q - 8. Let t(k) = 56*k - 46. Let r be t(1). Determine y(r).
12
Let h(l) = -12*l. Let d = -1048 + 1047. Give h(d).
12
Let s(m) be the third derivative of -m**6/120 - m**5/20 - m**4/8 - m**3/2 + 2*m**2. Let r = 344 + -347. What is s(r)?
6
Let u = 1 + 0. Let t be ((-4)/3)/(u/3). Let b(s) = 5 - 10*s + 8*s - 9. Calculate b(t).
4
Let p(q) = q - 6 + 5*q - 2 + 7. Let g(z) = z**3 - 8*z**2 - 21*z + 11. Let o be g(10). Give p(o).
5
Let s(b) = 15157*b - 15154*b + 3 + 0. Determine s(-2).
-3
Suppose -z + 1 = -0*z. Let a be (-2 - z)*2/(-2). Let w(o) = -2*o**3 + 2*o**2 - 11*o - 3. Let c(l) = l**3 + 6*l + 2. Let f(g) = -3*c(g) - 2*w(g). What is f(a)?
3
Let t(p) be the third derivative of p**8/10080 - p**7/2520 - p**6/180 + 13*p**5/30 + 4*p**2. Let s(c) be the third derivative of t(c). What is s(3)?
8
Let a(f) = f**3 + 5*f**2 + 2*f. Let s = -137 + 155. Let y = s - 23. Determine a(y).
-10
Let s(c) be the first derivative of c**4/4 - 7*c**3/3 - 4*c**2 - 8*c + 1. Let m(q) = 5*q**3 - 27*q**2 - 32*q - 31. Let f(k) = -2*m(k) + 9*s(k). Calculate f(-8).
-10
Let r be (-13)/(-2 - (-1 - 0)). Let a = 8 - r. Let u(d) = -6*d**2 + 10*d**2 - 9*d**2 + 3 - d**3. Calculate u(a).
3
Let o be -2*3/2 + -10. Let x be o + (-3)/((-4)/4). Let c(b) = -b - 1. Calculate c(x).
9
Let j(i) = 2*i**2 + i + 1. Let f(p) = 4*p**2 - 20*p - 8. Let h(y) = -f(y) + j(y). Determine h(11).
-2
Let l(b) be the third derivative of -b**4/8 - 7*b**3/6 + 230*b**2. Calculate l(-9).
20
Let q(n) = 5*n - 3. Suppose 21*y = 23*y - 4. Let b be q(y). Let f(s) be the third derivative of s**4/12 - 3*s**3/2 - s**2. Give f(b).
5
Let m(c) = -2*c - 3. Let y = -1 - -6. Suppose g = 2 - y. What is m(g)?
3
Let y(d) = -2*d**2 + 1. Let k(o) = -o**2 + 18*o - 2. Let r be k(17). Let l be 4 - 8/(40/r). What is y(l)?
-1
Let r(z) = -5*z - 16*z - 4 + 15*z. Calculate r(-4).
20
Let x(p) be the first derivative of -1/4*p**4 + 7*p - 13 + 2*p**2 + 5/3*p**3. Determine x(6).
-5
Let v(y) = y**2 + 8*y - 1. Let k(x) = x**3 - 6*x**2 + 26. Let g be k(4). Calculate v(g).
-13
Let g(n) be the second derivative of -n**5/20 - n**4/12 + 11*n**2/2 + 3*n. Suppose 0 = -4*j + 2*j - 5*j. Give g(j).
11
Let q be (1 - 7 - -8)/(0 - -1). Let l(z) be the first derivative of -5*z**2/2 + 8. Give l(q).
-10
Let a(t) be the first derivative of 1/2*t**2 + 11*t + 18. Give a(0).
11
Let o(f) be the third derivative of 11*f**6/60 + f**4/12 - f**3/6 - 3*f**2 + 8. Give o(1).
23
Suppose 12 = -h - 2*h. Let k be (-57)/h - 3/12. Let w = k - 18. Let s(t) = -t**2 - 7*t - 3. What is s(w)?
9
Suppose 10 = -5*b + 3*b. Let a = b + 9. Let f(g) be the third derivative of -g**4/24 - 2*g**3/3 + 3*g**2. Give f(a).
-8
Let b(w) = -2*w - 5. Let z(d) = -d**3 - 13*d**2 - 43*d - 20. Let k be z(-8). Calculate b(k).
-13
Suppose -195*m = -216*m + 147. Let d(o) = 4*o**3 - 8*o**2 + 13*o - 9. Let h(l) = 3*l**3 - 8*l**2 + 12*l - 9. Let v(k) = -2*d(k) + 3*h(k). Calculate v(m).
12
Let i(s) be the third derivative of 1/6*s**4 + 4*s**2 + 7/60*s**5 - s**3 + 0*s + 1/120*s**6 + 0. What is i(-6)?
6
Suppose 29*h = 148 + 55. Let x(k) = -k**3 + 8*k**2 - 6*k - 2. Determine x(h).
5
Let i(v) = -2*v**2 - 2*v + 1 + 0*v**2 + v**2 - v**3. Let k be 25/(-10) + (-26)/(-52). What is i(k)?
9
Let a = -299 - -298. Let c(i) = 2*i - 2. Give c(a).
-4
Let x(c) = 6*c**2 - 17*c + 62. Let h(s) = -5*s**2 + 19*s - 61. Let l(i) = 5*h(i) + 4*x(i). Determine l(25).
-7
Let j(q) = 3 + 0*q + 3*q - 1 + 0*q. What is j(3)?
11
Let h(j) = j**2 + 5*j + 2. Suppose -8*w = -6*w - 6. Suppose -2*t = 3*v + 4, 2*v + 2*v - t = 13. Suppose 4*n + 2 = -w*o, -3*n + v*o - 8 = -n. Determine h(n).
-4
Suppose 3*z + 1 = n, 3*n + 2*z - 25 = -0*z. Let c(s) = -n + 9*s - 4*s + s**2 - 9 + 12. Calculate c(-7).
10
Let h = -1918 + 1928. Let t(a) = 2*a**2 - 14*a - 4. Calculate t(h).
56
Let w(k) be the third derivative of -1/120*k**6 + 1/12*k**4 + 0 - 1/15*k**5 + 2/3*k**3 + 0*k - 29*k**2. What is w(-4)?
-4
Suppose -3*g = -0*g + 3*j - 93, -5*g - 4*j = -155. Let q = 43 - g. Let n(d) = 2*d**2 - 3*d**2 - 5 + 0*d + q*d - 5*d. What is n(4)?
7
Let j(l) = -18*l - 2*l**2 - 515 + 8*l + 518. Let a be j(-5). Let w(v) = 4*v**2 + 0 + 2 - v**3 - 3*v + 0. Determine w(a).
2
Let i(f) = -6*f**2. Suppose -25*l = -24*l - 5*t - 12, -2*l + 2*t = -8. Give i(l).
-24
Let u(d) = 16*d + 2*d**2 - 11 + 2*d - 19*d. Calculate u(0).
-11
Let h(n) = -134 + 274 + n - 136. What is h(-11)?
-7
Let i = 70 + -68. Let z = -10 + 17. Suppose -6 = -2*t + 6*f - 3*f, 5*t = i*f - z. Let s(k) = -k**3 - 2*k**2 + 5*k + 3. What is s(t)?
-3
Let g = -15 - -14. Let l(w) = -w**3 - w**2 - 1. Let h(r) = 3*r**3 + 9*r**2 + 4*r + 11. Let o(i) = g*h(i) - 4*l(i). Let j = -8 - -14. What is o(j)?
5
Let z(q) be the second derivative of -q**5/20 + 5*q**4/4 + 8*q**3/3 + 13*q**2/2 - 39*q + 5. What is z(16)?
13
Let z = 8 + 6. Let v = z - 18. Let o(u) = -u**3 - 3*u**2 + 4*u + 1. Give o(v).
1
Let x(a) = 20*a**2 - 5*a**3 - 8*a - 15*a**2 - 2*a - 1. Let q(p) = -14*p**3 + 15*p**2 - 29*p - 2. Let n(y) = 6*q(y) - 17*x(y). Calculate n(-6).
-7
Let f(u) = u. Let k(h) = 5. Suppose -4*g + 0 + 4 = 0. Let i(t) = g*f(t) - k(t). Let x be i(5). Let a(c) = -c + 8. Give a(x).
8
Let l be 10/(-4)*(-64)/40. Let b = 2 + l. Let w(f) be the first derivative of -f**3/3 + 2*f**2 + f + 7. Give w(b).
-11
Let j(x) = 4*x + 1151*x**2 - 1150*x**2 - 11 - 3*x. Give j(-5).
9
Let x(c) = -5 - 1 - 8*c - 2 - c**2. Let o(z) = z - 28. Let y be o(33). Suppose -16*n + 18*n - 6 = 0, 20 = -5*a - y*n. Calculate x(a).
-1
Let a = -4 - -2. Let r(n) = -119*n**2 + 1 + 232*n**2 - 116*n**2. Give r(a).
-11
Let j(q) = -q**2 - 1. Let f(z) = z**2 - 1. Let h(m) = f(m) + 2*j(m). Suppose 19*k - 11*k = -15*k. Calculate h(k).
-3
Let h(w) = -w**2 - w + 12. Let r(t) = 13 + 11 + 25 + 7*t - 7. Let p be r(-6). What is h(p)?
12
Let i be (-6)/1*12/(-36). Suppose 2*m - 3*x + i*x - 7 = 0, 18 = 3*m - 4*x. Let w(v) = v - 3. Calculate w(m).
-1
Let v = 51 + -39. Let p(f) = 4*f - 3*f + 14 - 2*f. Calculate p(v).
2
Let y(p) = p**3 + 9*p**2 + p + 13. Let c be 44/(-6) - 6/((-54)/(-15)). What is y(c)?
4
Let p(h) = -h + 2. Let l be p(0). Suppose l*z - 6 = v, v + 4*z - 14 = z. Let b(g) = -2*g + g - 37 - v*g + 35. Give b(-4).
10
Let q(l) = 8*l + 30. Let x(c) = -3*c - 11. Let v(u) = -4*q(u) - 11*x(u). Determine v(-1).
0
Let l(b) = -b**2 + 7*b - 7. Let c = 569 + -562. Give l(c).
-7
Let h(r) be the first derivative of -7/2*r**2 + 6*r + 1/3*r**3 + 16. Calculate h(4).
-6
Let n(b) = b**3 + 13*b**2 + 14*b + 5. Let r be 10763/(-893) + (-3)/(-57). Calculate n(r).
-19
Let d = 2 + 3. Let r(k) be the second derivative of -k**4/12 + 7*k**3/6 - k**2 + 6*k + 8. Dete | {
"pile_set_name": "DM Mathematics"
} |
1}?
1/28
Calculate prob of picking 2 q and 2 m when four letters picked without replacement from {m: 2, q: 5}.
2/7
What is prob of picking 1 g and 2 c when three letters picked without replacement from {c: 5, g: 11}?
11/56
Three letters picked without replacement from {m: 4, x: 6}. What is prob of picking 2 x and 1 m?
1/2
Three letters picked without replacement from wwewwwewweewww. What is prob of picking 3 e?
1/91
Two letters picked without replacement from sqqtssq. Give prob of picking 1 s and 1 q.
3/7
Four letters picked without replacement from {j: 1, w: 5, c: 3, h: 1, o: 1, q: 1}. What is prob of picking 1 w and 3 c?
1/99
Calculate prob of picking 2 o when two letters picked without replacement from qoctccctolcc.
1/66
Three letters picked without replacement from xxxoooxxoxoxo. Give prob of picking 3 o.
10/143
Calculate prob of picking 2 s and 2 q when four letters picked without replacement from {q: 12, s: 6}.
11/34
Calculate prob of picking 3 y and 1 z when four letters picked without replacement from {y: 3, z: 4, e: 7, f: 2, g: 1}.
1/595
Calculate prob of picking 4 z when four letters picked without replacement from zqzzzqzzzzzzqzzzzz.
91/204
Calculate prob of picking 2 m, 1 y, and 1 t when four letters picked without replacement from {c: 1, t: 3, m: 4, y: 2, o: 7}.
9/595
What is prob of picking 3 o and 1 m when four letters picked without replacement from eejejemvmmvdjoodvjov?
1/1615
Calculate prob of picking 1 d and 1 m when two letters picked without replacement from gddmccddr.
1/9
Calculate prob of picking 4 f when four letters picked without replacement from ffff.
1
Two letters picked without replacement from {r: 3, e: 1, m: 3, p: 3}. Give prob of picking 2 p.
1/15
Four letters picked without replacement from ywtwwwwttty. Give prob of picking 1 w and 3 t.
2/33
Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {r: 8, g: 2}.
16/45
Calculate prob of picking 3 y and 1 q when four letters picked without replacement from yyytqtytytyyjyy.
4/65
What is prob of picking 1 s, 1 t, and 1 h when three letters picked without replacement from ozooozhosrzto?
1/286
What is prob of picking 2 i, 1 n, and 1 p when four letters picked without replacement from nnpinppnpiinninnppip?
112/969
Two letters picked without replacement from {b: 2, h: 2}. What is prob of picking 2 b?
1/6
What is prob of picking 1 t and 1 n when two letters picked without replacement from mnmrt?
1/10
Two letters picked without replacement from iiiiiziwiiizw. Give prob of picking 1 i and 1 z.
3/13
Four letters picked without replacement from {m: 11, u: 1, g: 5}. What is prob of picking 1 u, 1 g, and 2 m?
55/476
Three letters picked without replacement from {d: 2, z: 2, b: 2, h: 4, a: 3}. What is prob of picking 1 z and 2 h?
6/143
What is prob of picking 4 h when four letters picked without replacement from {h: 5, y: 12, o: 1}?
1/612
Three letters picked without replacement from kkpkkkkqkkckkkp. Give prob of picking 3 k.
33/91
Calculate prob of picking 1 b, 2 d, and 1 t when four letters picked without replacement from {d: 4, z: 1, t: 3, b: 3}.
9/55
Three letters picked without replacement from xxxxxexexcoeq. What is prob of picking 1 c, 1 x, and 1 o?
7/286
Four letters picked without replacement from akkkaakkkkkakk. Give prob of picking 4 k.
30/143
Four letters picked without replacement from {e: 1, x: 6, c: 1, l: 6, k: 1, w: 5}. Give prob of picking 1 e, 1 w, and 2 x.
5/323
Two letters picked without replacement from {j: 1, k: 1, i: 1, s: 2}. Give prob of picking 1 s and 1 k.
1/5
Two letters picked without replacement from {p: 14, o: 1, x: 1}. What is prob of picking 1 o and 1 p?
7/60
Three letters picked without replacement from {d: 7, u: 1, h: 2}. Give prob of picking 1 d and 2 h.
7/120
Three letters picked without replacement from {s: 1, m: 2, c: 3, d: 3, w: 1, j: 1}. What is prob of picking 1 j and 2 d?
1/55
Three letters picked without replacement from {i: 11, k: 4, u: 3}. Give prob of picking 1 k and 2 u.
1/68
What is prob of picking 1 p and 1 t when two letters picked without replacement from {n: 1, t: 3, b: 2, a: 1, e: 4, p: 1}?
1/22
What is prob of picking 2 b when two letters picked without replacement from bvbbbv?
2/5
Two letters picked without replacement from {j: 2, q: 1, h: 1}. Give prob of picking 1 h and 1 q.
1/6
Two letters picked without replacement from {e: 4, h: 1, s: 6}. What is prob of picking 1 s and 1 h?
6/55
Four letters picked without replacement from {y: 2, f: 1, k: 7, l: 2}. Give prob of picking 2 y, 1 l, and 1 k.
14/495
Calculate prob of picking 2 v when two letters picked without replacement from vkv.
1/3
Two letters picked without replacement from qqqqqqqqq. Give prob of picking 2 q.
1
Three letters picked without replacement from sxpxk. Give prob of picking 2 x and 1 p.
1/10
Two letters picked without replacement from vvvvvvvvvvvxvvvvvvxv. What is prob of picking 2 x?
1/190
Two letters picked without replacement from {o: 5, w: 4, g: 5, b: 6}. Give prob of picking 1 o and 1 b.
3/19
What is prob of picking 1 x and 1 i when two letters picked without replacement from ixiixxixxixxiz?
6/13
Calculate prob of picking 2 a and 1 w when three letters picked without replacement from {x: 2, a: 4, p: 1, w: 7, c: 3}.
21/340
Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {h: 4, e: 2, x: 1, r: 3, o: 1}.
12/55
Three letters picked without replacement from {q: 1, z: 1, v: 2, f: 1, w: 2}. Give prob of picking 1 v, 1 z, and 1 q.
2/35
What is prob of picking 4 t when four letters picked without replacement from {h: 2, t: 1, z: 6, w: 1, s: 7}?
0
What is prob of picking 1 u, 1 k, and 2 a when four letters picked without replacement from uwukakurwrwkkuuawkw?
25/3876
Three letters picked without replacement from jkjjjjkjkkjjjjkjkj. Give prob of picking 1 k and 2 j.
33/68
Calculate prob of picking 4 v when four letters picked without replacement from {m: 2, a: 1, k: 1, c: 3, v: 1, x: 4}.
0
Three letters picked without replacement from tekoc. What is prob of picking 1 e, 1 o, and 1 k?
1/10
Two letters picked without replacement from {a: 1, b: 2}. Give prob of picking 2 b.
1/3
Two letters picked without replacement from {j: 1, a: 1, e: 2, y: 1, n: 2}. What is prob of picking 2 n?
1/21
What is prob of picking 2 d when two letters picked without replacement from dzdfafzzzd?
1/15
Calculate prob of picking 2 t when two letters picked without replacement from {q: 1, t: 7}.
3/4
Four letters picked without replacement from gdggttggsxgtq. What is prob of picking 2 d, 1 t, and 1 s?
0
Two letters picked without replacement from {b: 1, d: 3, h: 1, a: 4, p: 5, k: 1}. Give prob of picking 1 d and 1 p.
1/7
Two letters picked without replacement from llrlljill. What is prob of picking 1 j and 1 l?
1/6
Two letters picked without replacement from cwwwccccqwcqbcc. Give prob of picking 1 c and 1 b.
8/105
Three letters picked without replacement from {q: 7, j: 2, g: 1}. What is prob of picking 3 q?
7/24
What is prob of picking 2 j when two letters picked without replacement from zxrxrxrjjxjx?
1/22
Four letters picked without replacement from {l: 1, y: 2, j: 3, d: 2, a: 2, g: 2}. Give prob of picking 1 y, 1 d, 1 a, and 1 g.
16/495
What is prob of picking 2 s when two letters picked without replacement from hohhsokoshhksoooso?
2/51
Four letters picked without replacement from qiqtitjqqttei. Give prob of picking 4 t.
1/715
Calculate prob of picking 3 g when three letters picked without replacement from {t: 4, g: 6}.
1/6
Three letters picked without replacement from {m: 3, j: 8}. What is prob of picking 1 m and 2 j?
28/55
Calculate prob of picking 3 g and 1 j when four letters picked without replacement from {g: 3, j: 1, f: 2, d: 6}.
1/495
Two letters picked without replacement from {n: 7, g: 5}. What is prob of picking 1 n and 1 g?
35/66
What is prob of picking 1 r and 1 y when two letters picked without replacement from rcy?
1/3
Calculate prob of picking 2 i and 2 p when four letters picked without replacement from {q: 3, i: 5, p: 2}.
1/21
What is prob of picking 2 a, 1 g, and 1 n when four letters picked without replacement from annnnnnangaanaagaan?
42/323
Calculate prob of picking 1 v and 2 d when three letters p | {
"pile_set_name": "DM Mathematics"
} |
to j in -2/3, 0.2, d?
d
Suppose -4*a = 4*m + 8, -4*a - 10 = -2*m + a. What is the nearest to -0.08 in m, 2/21, -0.4?
m
Let k = -4 - -7.6. Let c = -4 + k. What is the closest to -3 in -5, c, -0.2?
-5
Let h = 0.7 + -0.6. Let s = -1.1 - -1. Which is the nearest to h? (a) -4 (b) s (c) -3
b
Let t = -44 - -351/8. What is the closest to 4 in 0.4, 5, t?
5
Let h = 1.6 + -7.6. Let u = h + 5. Let l(j) = -3*j**2 - j - 1. Let b be l(-1). What is the closest to 1 in -4, u, b?
u
Suppose -4 + 10 = 6*h. Let r be (h/(-5))/(12/15). What is the nearest to -1 in r, 0.2, -2/3?
-2/3
Let z = -2.638 - 0.062. Let v = 3 + z. Let k = -551/35 - -106/7. What is the closest to 0 in v, k, -3?
v
Let j be ((-1)/(-2))/(21/(-14)). Which is the closest to -1? (a) j (b) -0.4 (c) 3/5
b
Let z be 2/5 + (-72)/105. What is the closest to z in -1, -5, 1/4?
1/4
Let s = 13 + -8. Suppose -8*o + 3*o - 25 = 0, s = 5*p - 3*o. Let f be (-1)/(p/12*2). Which is the nearest to f? (a) 0.4 (b) 1 (c) -3/5
b
Let o = 1 + 0. Let w be (-8)/6*(-18)/(-4). Let v be (w - -5) + 9/7. What is the nearest to -1 in v, 5/4, o?
v
Let m = 9 - 5. Let h = 14 + -10. Suppose -s - 18 = h*t, s + m*s = t - 6. What is the nearest to s in 4, 3, 2?
2
Let x(o) = 2*o**3 + 13*o**2 + 5*o - 2. Let k be x(-6). Which is the closest to 1/3? (a) k (b) -1 (c) -4
b
Let q = -0.2 - -2.2. What is the closest to -0.2 in 0, q, -0.09?
-0.09
Let k = 0.9 + -0.6. Let x = -0.02 - -0.42. Let c = -796/7 + 114. What is the nearest to c in k, x, -0.4?
k
Let l(n) = -n + 1. Let j be l(6). Which is the closest to -0.1? (a) -1/6 (b) j (c) 2/7
a
Let x be 1/((-220)/8)*-5. Which is the closest to -0.2? (a) -2 (b) -6 (c) x
c
Let t = -0.05 - -0.25. Let h = 0 - -2. Let f = 0 - h. Which is the nearest to t? (a) -4 (b) f (c) 1/3
c
Let s be 1/((-22)/(-4) + 1). Let k = -842/7 - -120. What is the nearest to k in s, 2, 0.1?
0.1
Let k = -6 - -5.9. Which is the closest to k? (a) 12 (b) 0.2 (c) 0.1
c
Let m = -4.7 - -5. Let z = -6 - -3. Let q = 1 - 1. What is the nearest to q in m, -0.2, z?
-0.2
Let q = -775 - -777. Let o = -1 - 0. Let b = -0.1 - 0. What is the nearest to b in 1/4, o, q?
1/4
Let m be 24/(-35) - (-10)/35. Which is the nearest to 2? (a) 2/17 (b) m (c) -2/19
a
Let i be (-4)/(-18) - 11/9. Let z = 1 + 0. Let u be (1/3)/((-5)/(-6)). What is the nearest to i in u, 0.1, z?
0.1
Let p be 2/(-15) + (-914)/(-195). Let i = p + -22/5. What is the nearest to 0.1 in 2/5, 5, i?
i
Let x = 5.5 - 8. Let i = x - -0.5. Let v = 26 + -26. Which is the nearest to v? (a) i (b) -0.5 (c) 3/7
c
Let s = -23/30 - -4/15. Which is the closest to 5? (a) s (b) 0 (c) 2/9
c
Let x = 1/151 + 293/1359. Let h = 4.3 - 4. Suppose -v - 3 = 2*q - 4*q, 10 = 4*v + 3*q. What is the closest to v in h, x, -2/13?
h
Let w = 0.3 - 2.3. Which is the nearest to 2/7? (a) w (b) 4 (c) -0.5
c
Let j = -9 - -9.6. Let v = j + -0.4. Which is the closest to 2? (a) v (b) -3 (c) -4
a
Let o = 0.8 - -2.2. Let u = -2 - o. Let z be ((-1)/(-3))/(16/(-12)). Which is the nearest to 1/3? (a) z (b) u (c) -4
a
Let m be (2 - (-114)/(-3)) + 2. Let u be 3 + (1 - (-132)/m). Which is the closest to 0.1? (a) 0 (b) u (c) 4
b
Let d = -0.2 - 0.8. Which is the closest to 0.2? (a) -0.3 (b) 2/3 (c) d
b
Let z = 4 + 1. Let f = 8 - 12. Let i be (3 - -1)*(-1)/10. Which is the nearest to 1? (a) z (b) f (c) i
c
Let o be 6/40 - (-8)/(-20). Let t = 11.72 + -12. Let n = t - 0.02. Which is the nearest to -0.1? (a) 2 (b) o (c) n
b
Let z = -4 + 6. Let q = 0.0484 - 0.1484. Which is the closest to z? (a) q (b) 0.3 (c) -7/4
b
Let x be (-9)/(-14) - 7/14. Let l(r) = -r**2 - 10*r. Let z be l(-10). Suppose -2*f + z*f = 0. What is the closest to 1 in f, 5, x?
x
Let v(l) be the first derivative of l**4/4 - 2*l**3 - 7*l**2/2 - l + 2. Suppose 3*d = 25 - 4. Let o be v(d). Which is the nearest to o? (a) 4 (b) 0 (c) 0.4
b
Let o = 4.9 + -5. Which is the nearest to -0.1? (a) o (b) 4/3 (c) -4/9
a
Let l be (-39)/(-63) - (-1)/(-3). Let m = -0.33 - 0.07. What is the nearest to -2/7 in 1/4, l, m?
m
Let b = 0.04 + -0.03. Let q = -0.51 + b. What is the nearest to 0 in 2, q, 0?
0
Let q be ((-1)/(-2))/(7/(-2)). Let n = 11 + -6. Let h = 29.3 + -29. What is the nearest to 1 in h, n, q?
h
Let r = 1 + -2. What is the closest to r in -1/2, -5/3, -6?
-1/2
Suppose -2*w = -4 - 4. Let h be ((-2)/w)/1*0. Let s(b) = b**3 + 7*b**2 + 1. Let j be s(-7). What is the closest to h in -3, 1/4, j?
1/4
Let d = -53/7 - -57/7. Let f = 2 + -2.2. Which is the nearest to 0.2? (a) d (b) -0.5 (c) f
a
Suppose 0*n + 14 = 2*n. Suppose 4*z = 1 + n. Let d = 2 - -2. What is the closest to -1/6 in z, d, 3?
z
Let z = 4 - 5. Suppose 1 = -4*g - 11, 0 = v + 2*g + 3. Which is the nearest to z? (a) 4 (b) v (c) 0.5
c
Let p = -97/535 - 2/107. Which is the nearest to -0.1? (a) -4/7 (b) p (c) 5
b
Let r = 742/5 + -148. Let n(q) = -q**3 - 2*q**2 + 4*q + 2. Let y be n(-3). Which is the nearest to r? (a) 2 (b) 5 (c) y
c
Let n = 1 - 1. Let h be 4/(-63) - -3*10/105. Let v = 0.2 + 0.2. Which is the closest to n? (a) v (b) 1 (c) h
c
Suppose 17*t - 14*t - 15 = 0. Suppose -s - 9 = 5*o, 5*s = -3*o - 0*o - 23. What is the closest to o in t, 0.3, 1?
0.3
Let f be (-10)/90*1*(2 + 0). Let g = 6 - 4. Which is the nearest to 1? (a) g (b) -3 (c) f
a
Let q = -29 + 29. Which is the closest to -0.1? (a) 1 (b) q (c) 1/3
b
Let o = -0.5 - -6.5. Let m = o - 7. Which is the nearest to m? (a) -1 (b) 3/5 (c) -0.5
a
Let w = 0.3 + 0.7. Let v = w + -0.9. Let o = 4.7 + -5. Which is the nearest to v? (a) -1 (b) o (c) -3
b
Let n be 2/(-10) - 0/2. Let g = -67/28 + 15/7. What is the nearest to g in n, 2/7, -1/3?
n
Let x be (1181/2)/((-7)/(-2)). Let w = 169 - x. Which is the nearest to w? (a) -0.5 (b) 1 (c) -1
b
Let y = 0.2 - 1.2. Let f = -8.7 + 6.7. Which is the nearest to y? (a) f (b) -3 (c) 3/8
a
Let n = -0.2 + 0. Suppose 0 - 5 = 5*f. What is the closest to 0.2 in n, -2/7, f?
n
Let g = -0.5 - -0.4. Let s = -4.2 - 0.8. Which is the closest to 1/2? (a) g (b) 0.5 (c) s
b
Let q = -2.1 + 12.1. Let b = 9 - q. What is the closest to -2/3 in b, -5, 0.1?
b
Let p = -0.1 + 0.1. Let j = 1 + p. Let k = 49 + -46. What is the closest to j in -0.5, 1/5, k?
1/5
Let p = -0.3 + 0.2. Suppose 2 = 2*w + x, 3*x = 2*w - 3*w - 9. What is the closest to 2/7 in -2, w, p?
p
Let y = 8 + -3. Let v = -3.2 - -8.1. Let h = y - v. What is the nearest to 0.1 in 3, -1, h?
h
Let p = -71.7 + 68. Let v = p + 4. Let x = v - -0.7. What is the closest to x in 1/4, 0, 2/19?
1/4
Let w be ((-2)/(-12) + 0)/1. What is the nearest to -3 in w, -3/5, -2?
-2
Suppose -4*o = -20, 0 = -0*s + s + 2*o - 15. Let q = 0.03 + -4.03. Let p be (-150)/(-252) - (-1)/(-2). What is the closest to 0 in p, s, q?
p
Let u be (2/(-3))/((-4)/6). Let m = -37 + 36.9. What is the nearest to -0.2 in -4/7, u, m?
m
Let t be 6/(-33)*(6 + 18/(-4)). Which is the nearest to t? (a) 3 (b) 3/2 (c) 1
c
Let h = 175 - 872/5. Which is the nearest to 0.1? (a) -5 (b) 0 (c) h
b
Suppose 0 = k - 5*m + 4, 2*k = -8*m + 3*m - 8. Let h = k + 4. What is the nearest to -1/2 in 5, h, -1/2?
-1/2
Let n = -35/2 + 17. Let z = -0.06 - -0.36. Let b = -0.7 + z. What is the closest to -1 in n, b, -0.1?
n
Let s = -7.44 - -0.44. What is the closest to 2/7 in 1, -2/9, s?
-2/9
Let i = 80 - 76. Let l = -5/7 - -3/14. Which is the closest to -1/4? (a) i (b) l (c) -5
b
Let o = 2 + -6. Let x = -6 - -6. Which is the nearest to -1? (a) o (b) x (c) 3/5
b
Let u be 0/(8/(-56) - 8/(-7)). Which is the closest to -2/3? (a) 3/5 (b) -1/4 (c) u
b
Let x = -81 - -83. Let p = -6 + 9. Let u be (-1)/(2/(1*-2)). Which is the closest to u? (a) p (b) x (c) 1
c
Let x = -380/3 - -128. Let k = -5 - -2. Which is the nearest to -1? (a) x (b) k (c) 2/5
c
Let o be (2/11)/(-6 + 7). Which is the nearest to 0? (a) o (b) 2/7 (c) -2/5
a
Let o = 38 - 36. Which is the nearest to o? (a) -4 (b) -1 (c) -0.2
c
Let m = -2/3 + 1/6. Let w be 3*(130/42 - 3). Which is the nearest to 1? (a) 3 (b) w (c) m
b
Let w = -2 - -2. Let o = 6.5 + -6. Let y = -70 + 492/7. What is the nearest to 2/5 in w, y, o?
o
Let l(d) = -7*d**3 + 5*d**2 - 2*d - 4. Let n be l(4). Let k be (-9)/6*n/18. Let w = k + -32. What is the closest to w in -1/10, 3, -1?
-1/10
Let w(i) = -3*i**3 + i - 1. Let f be w( | {
"pile_set_name": "DM Mathematics"
} |
28
What is the greatest common factor of 60 and 480?
60
What is the greatest common factor of 74 and 1147?
37
Calculate the highest common factor of 68 and 391.
17
Calculate the highest common factor of 62 and 31.
31
Calculate the highest common factor of 266 and 304.
38
Calculate the greatest common factor of 240 and 3440.
80
Calculate the greatest common factor of 2808 and 728.
104
Calculate the highest common factor of 1557 and 1.
1
What is the greatest common divisor of 26 and 3874?
26
Calculate the greatest common divisor of 96 and 36.
12
What is the greatest common divisor of 12305 and 345?
115
Calculate the highest common divisor of 158 and 1185.
79
What is the greatest common divisor of 4576 and 143?
143
Calculate the greatest common factor of 30336 and 79.
79
What is the highest common divisor of 63 and 511?
7
What is the highest common divisor of 2290 and 10?
10
What is the highest common factor of 7 and 896?
7
What is the highest common divisor of 38 and 9994?
38
What is the greatest common factor of 125 and 2125?
125
What is the greatest common factor of 2 and 4?
2
Calculate the greatest common divisor of 6012 and 108.
36
Calculate the highest common divisor of 812 and 84.
28
What is the greatest common divisor of 34 and 1241?
17
What is the highest common divisor of 22 and 4?
2
Calculate the highest common divisor of 864 and 320.
32
What is the highest common divisor of 10960 and 720?
80
Calculate the greatest common divisor of 324 and 27.
27
What is the highest common factor of 51 and 17?
17
What is the highest common divisor of 285 and 5745?
15
Calculate the greatest common factor of 32500 and 260.
260
What is the highest common factor of 15997 and 51?
17
Calculate the greatest common factor of 504 and 56.
56
Calculate the greatest common factor of 990 and 3168.
198
Calculate the greatest common divisor of 1007 and 53.
53
Calculate the highest common divisor of 4 and 7.
1
What is the highest common factor of 1020 and 60?
60
Calculate the highest common divisor of 10 and 2900.
10
What is the highest common factor of 483 and 6?
3
Calculate the highest common divisor of 34 and 19465.
17
Calculate the greatest common divisor of 6921 and 63.
9
What is the greatest common divisor of 117 and 7800?
39
Calculate the greatest common divisor of 1817 and 46.
23
What is the highest common divisor of 2007 and 2453?
223
What is the highest common factor of 189 and 12096?
189
Calculate the highest common factor of 15 and 50.
5
Calculate the greatest common divisor of 456 and 19.
19
What is the greatest common factor of 10 and 14845?
5
Calculate the highest common divisor of 148 and 36.
4
What is the highest common divisor of 286 and 494?
26
What is the highest common factor of 34 and 24667?
17
Calculate the greatest common divisor of 112 and 16016.
112
Calculate the highest common factor of 4728 and 504.
24
Calculate the greatest common divisor of 207 and 138.
69
What is the greatest common divisor of 17 and 833?
17
Calculate the greatest common factor of 69 and 161.
23
What is the highest common divisor of 582 and 7954?
194
Calculate the greatest common factor of 1030 and 50.
10
What is the highest common divisor of 365 and 4672?
73
What is the highest common divisor of 55 and 583?
11
What is the highest common factor of 2597 and 49?
49
Calculate the highest common divisor of 1055 and 4642.
211
What is the highest common divisor of 28 and 182?
14
What is the highest common divisor of 260 and 2444?
52
What is the highest common factor of 36 and 117?
9
What is the greatest common factor of 29 and 18560?
29
Calculate the greatest common divisor of 708 and 177.
177
Calculate the greatest common divisor of 16 and 29.
1
What is the highest common factor of 825 and 1320?
165
Calculate the greatest common factor of 2560 and 24.
8
What is the highest common divisor of 60 and 390?
30
Calculate the highest common divisor of 496 and 8.
8
Calculate the highest common factor of 45 and 9.
9
Calculate the highest common factor of 206 and 6.
2
What is the greatest common divisor of 52 and 1534?
26
Calculate the highest common divisor of 500 and 25.
25
Calculate the highest common divisor of 6292 and 12.
4
What is the greatest common divisor of 4300 and 60?
20
What is the greatest common divisor of 3061 and 1?
1
What is the highest common divisor of 70 and 875?
35
Calculate the greatest common factor of 77 and 5159.
77
Calculate the greatest common factor of 504 and 801.
9
Calculate the greatest common factor of 390 and 5226.
78
Calculate the highest common divisor of 62 and 6355.
31
What is the highest common divisor of 1220 and 80?
20
What is the greatest common factor of 67 and 29681?
67
What is the highest common factor of 1252 and 4?
4
What is the highest common factor of 279 and 1488?
93
What is the highest common factor of 3872 and 32?
32
What is the highest common divisor of 27 and 15?
3
What is the greatest common divisor of 7500 and 30?
30
Calculate the greatest common factor of 1 and 577.
1
Calculate the highest common divisor of 135 and 378.
27
What is the highest common factor of 9354 and 6?
6
Calculate the highest common factor of 1003 and 34.
17
Calculate the highest common factor of 2 and 16.
2
What is the greatest common factor of 412 and 4?
4
What is the greatest common factor of 22999 and 1266?
211
What is the greatest common factor of 833 and 17?
17
Calculate the highest common divisor of 135 and 2340.
45
Calculate the highest common factor of 1533 and 21.
21
What is the greatest common divisor of 152 and 1007?
19
What is the greatest common factor of 186 and 1426?
62
What is the greatest common divisor of 495 and 396?
99
Calculate the highest common divisor of 144 and 27.
9
Calculate the highest common factor of 13 and 767.
13
What is the greatest common divisor of 3337 and 517?
47
What is the highest common divisor of 224 and 476?
28
What is the greatest common factor of 262 and 4847?
131
What is the highest common divisor of 88 and 1716?
44
What is the greatest common divisor of 37 and 740?
37
Calculate the greatest common divisor of 8 and 2096.
8
What is the highest common factor of 993 and 6?
3
Calculate the greatest common divisor of 475 and 798.
19
What is the greatest common divisor of 17406 and 18?
18
Calculate the highest common divisor of 494 and 234.
26
What is the highest common factor of 5746 and 7514?
442
Calculate the greatest common factor of 154 and 110.
22
What is the highest common factor of 38 and 5833?
19
Calculate the highest common factor of 1868 and 3.
1
Calculate the greatest common divisor of 75 and 10025.
25
What is the highest common factor of 78 and 858?
78
Calculate the highest common factor of 738 and 4674.
246
What is the greatest common factor of 4590 and 210?
30
What is the greatest common factor of 135 and 5?
5
Calculate the greatest common divisor of 6896 and 16.
16
Calculate the greatest common divisor of 19 and 20843.
19
Calculate the greatest common factor of 2262 and 18.
6
Calculate the greatest common divisor of 992 and 62.
62
What is the greatest common divisor of 639 and 497?
71
What is the greatest common divisor of 16287 and 801?
267
What is the greatest common factor of 462 and 154?
154
What is the highest common factor of 9 and 135?
9
What is the highest common factor of 44 and 4?
4
Calculate the highest common factor of 94 and 94.
94
Calculate the highest common divisor of 116 and 4814.
58
Calculate the greatest common divisor of 8041 and 11.
11
Calculate the greatest common factor of 52 and 52.
52
What is the highest common factor of 348 and 58?
58
What is the highest common factor of 7634 and 154?
22
What is the highest common factor of 24 and 48?
24
What is the greatest common factor of 1750 and 525?
175
What is the greatest common factor of 3476 and 22?
22
Calculate the highest common factor of 4 and 3276.
4
What is the highest common factor of 14215 and 5?
5
What is the greatest common factor of 2067 and 583?
53
Calculate the greatest common divisor of 32 and 50.
2
Calculate the highest common divisor of 22 and 341.
11
What is the greatest common factor of 341 and 31?
31
Calculate the greatest common factor of 232 and 174.
58
Calculate the greatest common factor of 56 and 164.
4
What | {
"pile_set_name": "DM Mathematics"
} |
what is 44162465024 + -1?
44162465023
In base 3, what is 112102122120120 - 10?
112102122120110
In base 4, what is -13302223000302 + 3?
-13302223000233
In base 6, what is 14 + -3151533300?
-3151533242
In base 8, what is 10 - -456450077?
456450107
In base 16, what is -5 + -127d19f?
-127d1a4
In base 15, what is 156134 - -a?
15613e
In base 12, what is 41a173 - 16?
41a159
In base 3, what is 110201002112222210 - -12?
110201002112222222
In base 5, what is 202134414 + 304?
202140223
In base 10, what is 1397053 - 49?
1397004
In base 16, what is -4a91 - 20fa?
-6b8b
In base 14, what is -3a324 + -10?
-3a334
In base 3, what is -1120101120 + 10112?
-1120021001
In base 10, what is -34 + -679283?
-679317
In base 8, what is -123460 + -6032?
-131512
In base 14, what is 364 + 3c?
3a2
In base 9, what is 73216 - -287?
73514
In base 8, what is 30443155 - -74?
30443251
In base 8, what is 265 - -17146?
17433
In base 8, what is -435 + 52140?
51503
In base 7, what is -343430 + 14166?
-326231
In base 6, what is 1233412 + 345?
1234201
In base 12, what is -1b07 - -1274?
-853
In base 4, what is -1031220 + -210020?
-1301300
In base 14, what is 131 - -67d5?
6926
In base 16, what is -33b03c + b1?
-33af8b
In base 7, what is -15236 + -313442?
-332011
In base 12, what is -584a04b5 + -2?
-584a04b7
In base 5, what is 2004321 - 310131?
1144140
In base 6, what is 13430211545 + -4?
13430211541
In base 8, what is -1 - -555061?
555060
In base 12, what is 1273861 + -3?
127385a
In base 16, what is -2eb + 417fc?
41511
In base 6, what is 10 + -503424455?
-503424445
In base 14, what is 488b932 - -3?
488b935
In base 8, what is 2377330 - 1563?
2375545
In base 12, what is 2253 - -1321?
3574
In base 9, what is 6 - 580623?
-580616
In base 2, what is 1010100101000010010010 + -1101?
1010100101000010000101
In base 5, what is -11031 + -3012133?
-3023214
In base 15, what is -59c5d + 5d?
-59c00
In base 8, what is 24100161 + 3?
24100164
In base 6, what is 30 + -2023524043?
-2023524013
In base 12, what is 4 - -3844080?
3844084
In base 3, what is -22222120020 - 12002211?
-100011200001
In base 11, what is -783796a + -17?
-7837986
In base 9, what is 4 - 3273748?
-3273744
In base 7, what is -12420660615 - 5?
-12420660623
In base 11, what is -179 - -771?
5a3
In base 15, what is 266d + 43eb?
6a69
In base 12, what is -278b67a4 + 13?
-278b6791
In base 16, what is 19 + c4cd15?
c4cd2e
In base 14, what is 1 - -bd7906?
bd7907
In base 16, what is -17 - -12e727c?
12e7265
In base 12, what is -b411a - 66?
-b4184
In base 14, what is -4 - -4602878?
4602874
In base 15, what is -a0296011 - -4?
-a029600c
In base 14, what is 214 - -6787d?
67a93
In base 16, what is 12f0 + -cc2?
62e
In base 2, what is -101010101001111100000110 + -100?
-101010101001111100001010
In base 5, what is -104412 - 2100401?
-2210313
In base 4, what is 10111232 + -2103?
10103123
In base 10, what is -379150 - 49?
-379199
In base 10, what is 897 + 310034?
310931
In base 3, what is -210201001 + -10202222?
-221111000
In base 7, what is -316 - 320531?
-321150
In base 8, what is -31052164 + -2?
-31052166
In base 2, what is 10011001010 - -11100010100010?
11110101101100
In base 15, what is -167 + -90585?
-906ec
In base 9, what is 1556 + -4517?
-2851
In base 3, what is 11112202100 - 0?
11112202100
In base 3, what is -22001 + -102120110?
-102212111
In base 5, what is -411 + 1023103042?
1023102131
In base 12, what is 12b6 - -3867?
4b61
In base 12, what is 4116758 - 5?
4116753
In base 15, what is -5 - 21b4581?
-21b4586
In base 6, what is -211243532 - 12?
-211243544
In base 14, what is -628889 - -18?
-628871
In base 11, what is 8690 + -236?
8455
In base 12, what is -15437 + 2a22?
-12615
In base 4, what is 30220001130 + -10001?
30213331123
In base 11, what is -127863a8 + 3?
-127863a5
In base 8, what is -16723315726 - 5?
-16723315733
In base 2, what is 10010101010000110010 + -10110?
10010101010000011100
In base 12, what is 1796173 - 1?
1796172
In base 11, what is 34a78465 + -1?
34a78464
In base 4, what is 2122002320 + -103?
2122002211
In base 7, what is -2435654304 + 4?
-2435654300
In base 4, what is -210312010 - 23312?
-211001322
In base 11, what is 842976 - -28a?
843155
In base 3, what is 1 - -11000202000102?
11000202000110
In base 14, what is 0 + 19c93?
19c93
In base 15, what is 33a8ea9 - 0?
33a8ea9
In base 9, what is -1 - -77300727?
77300726
In base 5, what is -2 - -423134304234?
423134304232
In base 12, what is -1633 - 2401?
-3a34
In base 6, what is -3015 + -11334333?
-11341352
In base 5, what is -2 - 32304003343?
-32304003400
In base 14, what is 109d - 15d7?
-538
In base 3, what is -222122011102211011 - 2?
-222122011102211020
In base 8, what is 224206714 + -3?
224206711
In base 4, what is 301001021321310 + -11?
301001021321233
In base 8, what is 4 - 111076053?
-111076047
In base 2, what is 1001011010 + 1111111111100010?
10000001000111100
In base 7, what is 1220614150 - 4?
1220614143
In base 14, what is -3 - -4ada4ca?
4ada4c7
In base 4, what is 1 - 122331012233?
-122331012232
In base 9, what is -17165032 - 2?
-17165034
In base 4, what is 12110013 + -212?
12103201
In base 9, what is 144670 + 6?
144676
In base 14, what is -34c - -d006?
ca98
In base 15, what is de6 - 1892?
-99b
In base 10, what is 269 + -18458?
-18189
In base 5, what is -244423431022 - -2?
-244423431020
In base 10, what is 416650 - 265?
416385
In base 4, what is 11 - -20033013002?
20033013013
In base 4, what is -10 + -2030001110110?
-2030001110120
In base 12, what is -3 + 202b4352?
202b434b
In base 4, what is 232 - 323321223?
-323320331
In base 5, what is 2333322122 - 123?
2333321444
In base 2, what is 10000010110 - 101010101?
1011000001
In base 10, what is -38683 + -7021?
-45704
In base 10, what is -38489 + -10521?
-49010
In base 6, what is -3 + 5212222310?
5212222303
In base 5, what is 1000 + 1433343?
1434343
In base 2, what is 10011010110 - -111101001101?
1010000100011
In base 16, what is 6 + 146853?
146859
In base 2, what is 11101111111001111101 + 11111?
11101111111010011100
In base 12, what is 18 - 79861?
-79845
In base 11, what is 109 + 3a01?
400a
In base 4, what is -1102 - -100131331102?
100131330000
In base 7, what is -26 + -261453042?
-261453101
In base 15, what is -107139 - 29?
-107163
In base 8, what is -2074622 + -34?
-2074656
In base 4, what is -2013313211 + 312?
-2013312233
In base 15, what is 6 - -4610bc8?
4610bce
In base 15, what is 190 - 3166b?
-314cb
In base 14, what is b + -1c78768?
-1c7875b
In base 15, what is 1c - -77dddd?
77de0a
In base 12, what is 5 + 968506?
96850b
In base 9, what is -1 - 21210801?
-21210802
In base 12, what is -1061 - -105a?
-3
In base 7, what is 10532031446 - 2?
10532031444
In base 3, what is 111000 - 1101121100?
-1101010100
In base 10, what is -4843537 - 21?
-4843558
In base 14, what is 65a141 - -5?
65a146
In base 5, what is -332113 + 2040243?
1203130
In base 12, what is 1a93667 + 3?
1a9366a
In base 9, what is -230 - -314854?
314624
In base 3, what is -2111001020 - -122?
-2111000121
In base 11, what is 0 + -18716a5?
-18716a5
In base 14, what is -5 + 15014889?
15014884
In base 14, what is -10c5ac - 40b?
-10c9b9
In base 16, what is 76f - 60e3?
-5974
In base 8, what is -245703500 + -6?
-245703506
In base 10, what is 22606 - -244?
22850
In base 11, what is 178929 + 369?
179197
In base 10, what is 193693 + 50?
193743
In base 5, what is -434301304 + 342?
-434300412
In base 5, what is 344 - 223012?
-222113
In base 13, what is -184 - 4b183?
-4b337
In base 16, what is -185 - 1380?
-1505
In base 11, what is -245 - 4475?
-470a
In base 5, what is -12442334 - -112?
-12442222
In base 3, what is 210220112100001 - 101?
210220112022200
In base 6, what is -21 - -122154420?
122154355
In base 12, what is 12328 + -24131?
-11a05
In base 5, what is 3 + -401432204?
-401432201
In base 3, what is -2 - -111220012110021?
111220012110012
In base 12, what is -4 - -332b0094?
332b0090
In base 16, what is 87c3 + 26a?
8a2d
In base 5, what is -1003301 - -120023?
-333223
In base 4, what is 12112 + 12313321?
12332033
In base 10, what is -17 + 781528?
781511
In base 3, what is -20020110002220 - 10?
-20020110010000
In base 12, what is 43a011b0 + -1?
43a011ab
In base 15, what is -c9cab39 + 3?
-c9cab36
In base 16, what is -1dfd78 - -2?
-1dfd76
In base 3, what is -22 + 10012021111?
1001202101 | {
"pile_set_name": "DM Mathematics"
} |
+ 3*m = -m - 10, -a*w = -4*m + 26. Let t = 12 + w. Calculate the remainder when 15 is divided by t.
3
Let g = 16 - 11. Suppose 4*w - g*a + 0 + 8 = 0, -4*w = -3*a. Suppose 0 = k - 5, -151 = -5*i + w*k + 9. Calculate the remainder when i is divided by 18.
17
Let f(o) = -5*o + 2. Calculate the remainder when 94 is divided by f(-6).
30
Suppose -2*i + 5*i = 0. Let h(f) = f**3 + f**2 - f + 7. Calculate the remainder when 20 is divided by h(i).
6
Suppose 3*c - 38 = -4*u, c - 4*u = -7 - 7. What is the remainder when 22 is divided by c?
4
Calculate the remainder when (-34 + 7)*(-4)/6 is divided by 5.
3
Let k(z) = -2*z**2 + 16*z + 8. Calculate the remainder when 28 is divided by k(8).
4
Let v(m) = m**3 - 2*m**2 + 5*m - 4. Let n(x) = -2*x**3 + 5*x**2 - 14*x + 11. Let a(l) = -4*n(l) - 11*v(l). Calculate the remainder when 57 is divided by a(-2).
27
Let x = -232 + 419. Suppose -2*n + x = 79. What is the remainder when n is divided by 14?
12
Let d(f) = f**2 - f + 2. Calculate the remainder when d(-5) is divided by 18.
14
Let z = 92 - 78. Calculate the remainder when 153 is divided by z.
13
Let c = 7 - 4. Calculate the remainder when 6 is divided by c.
0
Suppose 4*i + 17 = -7. Let f(a) = a**2 + a - 12. Calculate the remainder when 51 is divided by f(i).
15
Let o(q) = -q**3 + 6*q**2 + 5*q - 9. Calculate the remainder when o(6) is divided by 11.
10
Suppose 5*j = 3*x - 59, 2*j + 85 = 5*x - 3*j. Suppose -2*l = -l + x. Let s = l + 21. Calculate the remainder when s is divided by 3.
2
Let k = 4 + 1. Suppose 0 = -3*t - t + 16. Suppose -p + 44 = t*h + 3*p, -9 = -3*p. What is the remainder when h is divided by k?
3
Suppose 3*x - 43 - 2 = 0. Calculate the remainder when 58 is divided by x.
13
Suppose -3*r + 4 = -4*r - 4*n, -4*n - 16 = -2*r. Calculate the remainder when r is divided by 4.
0
What is the remainder when -2*(-25)/2 - 3 is divided by 7?
1
Let t be 1*27/((-3)/(-1)). Let h be (t/6 + -2)*-4. Suppose 3*d - 4*n - 185 = -h*d, 0 = -5*n. What is the remainder when d is divided by 13?
11
Suppose p + b = 0, -7 = -p + 3*b + 9. Suppose p*u - 4 = 28. What is the remainder when 22 is divided by u?
6
Suppose -5 = -2*k - 1. Let m(n) = -n**2 + n + 11. Let x be m(0). Let w = x + -6. Calculate the remainder when w is divided by k.
1
Let q = 3 + -4. Let a be ((-2)/2 + 4)/q. What is the remainder when (-3)/(a + 0) - -1 is divided by 2?
0
Suppose 2*u + 0*u = 2*p + 32, -5*u + 130 = 5*p. What is the remainder when 39 is divided by u?
18
What is the remainder when 13 is divided by 2*(-4)/2 - -12?
5
Let d be (-1)/(1/(-2))*-1. Calculate the remainder when d/6 + 426/9 is divided by 24.
23
Let j(q) = 7*q**2 - 3*q. Let t be j(2). Suppose 14 = 3*h - t. Calculate the remainder when 46 is divided by h.
10
Suppose z = 4*i - 55, i + 0*z = -2*z + 16. Calculate the remainder when 39 is divided by i.
11
Let f(b) = 11*b + 4. What is the remainder when 76 is divided by f(2)?
24
Suppose -4*u = 5*i - u - 141, -3*i + 75 = -3*u. What is the remainder when i is divided by 15?
12
What is the remainder when ((-32)/(-12) + -3)*-45 is divided by 8?
7
Calculate the remainder when 6/(((-21)/(-8))/7) is divided by 10.
6
Let b be -3 - -2 - 18/(-6). Calculate the remainder when ((-35)/b)/7*-4 is divided by 4.
2
Let u = 91 - 71. Suppose 0 = m - 5*v + 13, 0 = 2*m + m - 3*v - 9. What is the remainder when u is divided by m?
6
Suppose 0 = 3*m - 5*d - 16 + 4, 0 = -3*m - 5*d + 12. Calculate the remainder when 8 is divided by m.
0
Suppose 3*f - 4 = 11, 5*z - 4*f - 345 = 0. Calculate the remainder when z is divided by 19.
16
Suppose -3*o + 8 = -13. Suppose -p = 5*t - 28, -4*p + 10 = 4*t - t. Suppose -t - 54 = -5*n. Calculate the remainder when n is divided by o.
5
Let f = 89 - 63. Suppose 4*d + 10 = -3*l - 0*d, 0 = -3*l + d - 20. Let m = l + 20. Calculate the remainder when f is divided by m.
12
Let f(v) = v**2 - v - 2. Let d be f(3). Suppose r = -0*r + 32. Calculate the remainder when r is divided by (d/(-6))/((-6)/153).
15
Suppose x + m + 2*m = 119, 528 = 4*x - m. What is the remainder when x is divided by 33?
32
Let g be (-2)/((-4)/(-2)) - -6. Suppose -4*k - g = -5*k. What is the remainder when 3/5 + 5 + (-134)/(-10) is divided by k?
4
Suppose 0 = -9*o + 4*o + 105. What is the remainder when 81 is divided by o?
18
Suppose -t - 4*t = -150. Suppose w = 2*i - 4*w - t, 3*w = -3*i + 3. Let j = i - 3. Calculate the remainder when j is divided by 1.
0
Let w(o) be the third derivative of -o**4/8 - 13*o**3/6 + o**2. Let c be (-3 - -6 - 13)/1. What is the remainder when 49 is divided by w(c)?
15
Suppose 0*n + 5*n + 20 = 0. Let s(g) = g**2 - 4*g - 2. What is the remainder when s(n) is divided by 16?
14
Let c(m) = m**2 + 5*m - 2. Let g be c(-6). Suppose g*k - k - 9 = -u, -k = 0. Suppose 76 = 3*t + 1. Calculate the remainder when t is divided by u.
7
Suppose 0 = 4*w - u + 2 + 12, 2*u + 16 = -3*w. Calculate the remainder when 21 + 1/(w/(-8)) is divided by 13.
10
Let y = -138 + 177. What is the remainder when y is divided by 16?
7
Let b(o) = o**2 - o - 3. Let a be b(3). Suppose -a*c - 10 = -2*d, c = 3*d - 1 - 7. Calculate the remainder when 7 is divided by d.
1
Suppose -2*t + 3 = t. Let f = t - -4. Suppose 0 = 3*r - f*g - 145, g - 15 = -r + 44. What is the remainder when r is divided by 19?
17
Let p = 108 - 54. What is the remainder when 2*-1 + (p - -1) is divided by 73/4 - 1/4?
17
Suppose 0 = 4*c + s - 1524, 2*c + 4*s + 744 = 4*c. What is the remainder when 150 is divided by c/35*(-7)/(-2)?
36
Suppose -5*l - r = -4*r - 87, -5*r + 25 = 3*l. Let f be 3/(-2)*(-64)/6. Let y = f - 7. Calculate the remainder when l is divided by y.
6
Suppose 2*o - 2 = 2*c, -2*o = -5*c + 3 + 1. Calculate the remainder when 3 is divided by c.
1
Suppose -5*y + 33 = 13. Suppose -3*w + y*k = 6, -k = -w - 3*k - 2. What is the remainder when 14 is divided by (-1 - -3)/1 - w?
2
Let u(b) = -b + 7. Let w(k) = -k**2 + 9*k - 15. What is the remainder when w(6) is divided by u(5)?
1
Let w = -10 - 15. Let m = -11 - w. Let n(r) = r**3 - 5*r**2 - r - 4. Calculate the remainder when n(6) is divided by m.
12
Let b(p) = -89*p**3 - 2*p**2 - p - 1. Calculate the remainder when b(-1) is divided by 45.
42
Let u = 58 - 40. Calculate the remainder when 30 is divided by u.
12
Suppose 0*p = 2*p. Suppose 2*d - 3*d + 14 = p. Suppose -n + 2 = -6. What is the remainder when d is divided by n?
6
Let b be (8/(-6))/2*9. Let j = b + 7. What is the remainder when 1 is divided by j?
0
Let a = 138 - 67. Suppose 29 = -3*b + a. Calculate the remainder when 4/6*(59 + 1) is divided by b.
12
Let j(t) = -t**3 + 9*t**2 - 7*t + 23. What is the remainder when 60 is divided by j(8)?
29
Let y = -22 - -36. Calculate the remainder when ((-39)/2)/((3/2)/(-3)) is divided by y.
11
Let m be 30/9 - (-4)/6. Suppose m*w = 2*t - w - 7, -w = t - 7. Calculate the remainder when -2 + 117/6 + (-6)/4 is divided by t.
4
Suppose -60 = -0*o - 3*o. Let x be o/(-6)*(-3 + -3). Suppose -3*p + 2*p = -x. What is the remainder when 58 is divided by p?
18
Suppose 5 - 10 = -q. What is the remainder when 14 is divided by q?
4
Let q be 1/3 - (-70)/(-3). Let k = 24 - q. What is the remainder when k is divided by 16?
15
Let y(x) = 4*x**2. Let b(a) = 29*a**3 + a**2 - a + 1. Calculate the remainder when b(1) is divided by y(-2).
14
Let m(r) = 22*r**2. Suppose 0 = 2*s + s - 18. Calculate the remainder when m(1) is divided by s.
4
Let x(n) = n**3 - 11*n**2 - 12*n + 14. Calculate the remainder when 53 is divided by x(12).
11
Suppose -k + 9*h + 74 = 4*h, 0 = -2*k - h + 170. Calculate the remainder when k is divided by 29.
26
Let w(b) = -b + 19. What is the remainder when 103 is divided by w(-16)?
33
Suppose 5*n = 3*n. Suppose -3*x + 0*v = 4*v - 30, n = -5*v. What is the remainder when 18 is divided by x?
8
Suppose -2*q = 76 - 470. What is the remainder when q is divided by 40?
37
Let x be 31 - ((-4 - -2) + 1). Suppose 0 = -5*n + n + x. Calculate the remainder when 22 is divided by n.
6
Suppose 5*s = 5*f - 45, 0 = 5*f - 2*s + 3*s - 39. Suppose -3*p - 400 = -f*p. Suppose 5*c = 45 + p. What is the remainder when c is divided by 9?
7
Let d = 17 - 9. Suppose 0*s - d = -s. Let r = 44 + -29. What is the remainder when r is divided by s?
7
Suppose o + 2*o - 39 = 0. Let h(x) = 10*x - 7. Calculate the remainder when h(3) is divided by o.
1 | {
"pile_set_name": "DM Mathematics"
} |
Let x = -7 - -6. Let v(q) = 1. Let j(a) = -3*a - 6. Give x*j(u) - 6*v(u).
3*u
Let s(v) = v - 1. Let j(z) = 15*z - 24. Let n(u) = -u - 1. Let l(f) = j(f) - 6*n(f). Determine l(b) - 18*s(b).
3*b
Let v(a) = 5*a**2 - 14*a + 11. Let i(x) = -2*x**2 + 5*x - 4. Let k = -9 - -24. Let q be 3/(-5) - (-174)/k. Calculate q*i(u) + 4*v(u).
-2*u**2 - u
Let z(s) = -s**2 - 1. Let a(f) = -2*f**2 - 2*f + 1. Give -a(i) - z(i).
3*i**2 + 2*i
Let b(f) = 5*f**2 - f - 4. Let h = 9 + -14. Let n(l) = 11*l**2 - 3*l - 9. Give h*b(o) + 2*n(o).
-3*o**2 - o + 2
Let i(c) = -2*c - 3 + 10*c + 0 - 5*c. Let t(f) = -2*f + 1. Give 2*i(r) + 5*t(r).
-4*r - 1
Let u(o) = -2*o - 6. Let x = 16 + -10. Let l(f) = -2*f - 5. Give x*l(v) - 5*u(v).
-2*v
Let v(s) = -7*s**2 - 3*s - 3. Let n(y) = -14*y**2 - 7*y - 7. Determine -6*n(z) + 14*v(z).
-14*z**2
Let j(a) = a + 0*a + 0 - 5. Let b(o) = -1. Suppose 2 - 7 = -5*u. Give u*j(y) - 5*b(y).
y
Let w(k) = 2*k. Let n(b) = b + 3. Let c be (-92)/4 - (-1 + -1). Let a = -14 - c. Let u(s) = 2*s + 7. Let g(v) = a*n(v) - 3*u(v). Give -11*g(z) + 6*w(z).
z
Let f(k) = 2*k**3 - 3*k. Let q(g) be the third derivative of -g**6/20 + g**4/3 + 11*g**2 + 2*g. Let l be (0 + 0 - 3)/(-1). Give l*q(d) + 8*f(d).
-2*d**3
Let q(d) = 9*d**2 + 8*d. Let s(k) = -26*k**2 - 24*k. Let j(t) = -11*q(t) - 4*s(t). Let l(p) = -3*p - 26 + 11 + 15 - 2*p**2. What is -3*j(v) - 8*l(v)?
v**2
Let y(q) = 0 + 3 - 1 - 6 - 2*q**2 - 4*q. Let o(l) be the first derivative of -l**3 - 7*l**2/2 - 7*l + 2. What is 4*o(a) - 7*y(a)?
2*a**2
Let q(b) = 6*b - 5. Let v = 239 - 235. Let o(a) = -2*a - 3*a + 6 - 2*a. Calculate v*o(d) + 5*q(d).
2*d - 1
Let x = -3 - -9. Let w(f) = f. Let v(a) = 8*a - 9. Let l(j) = j - 1. Let g(u) = -36*l(u) + 4*v(u). Determine x*w(r) + g(r).
2*r
Let z(t) = 6*t**3 + 6*t. Let r be 5/((-15)/33) - -2. Let y be -4 - (-1 - (-1)/1). Let o(c) = -13*c**3 - 13*c. What is r*z(u) + y*o(u)?
-2*u**3 - 2*u
Let m(y) = -11*y**3 - 11*y + 8. Let u(i) = 2*i**3 - 11*i - 2*i**3 - 7*i**3 + 4*i + 5. What is 5*m(h) - 8*u(h)?
h**3 + h
Let m(n) = n**3 - n**2 - 7*n + 3. Let u(r) = 3*r**3 - 2*r**2 - 21*r + 8. What is -11*m(k) + 4*u(k)?
k**3 + 3*k**2 - 7*k - 1
Suppose -4*y - v = -7, -y - 4*v = -7*v - 18. Let d(j) = -j**2 + j + 1. Let k(r) = 8*r**2 - r - 3. Calculate y*d(f) + k(f).
5*f**2 + 2*f
Let b(d) = -9*d**3 - 8*d - 18. Let m(s) = -6*s**3 - 5*s - 12. Give 5*b(x) - 8*m(x).
3*x**3 + 6
Let l(r) = -2*r - 1. Let o(i) = 4*i + 2. Let q be -5 + 2 + -3 + 1. Let z(m) = -6*m - 39. Let x be z(-6). What is q*l(u) + x*o(u)?
-2*u - 1
Let n(j) = -7*j + 5. Let c(y) = -9*y + 14 - 11*y + 0*y. Let q = -38 + 21. What is q*n(h) + 6*c(h)?
-h - 1
Let c(k) = -2*k - 3. Let v(g) = -g + 1. What is -2*c(z) + 6*v(z)?
-2*z + 12
Let i(v) = -3*v + 1. Let d(m) = 5 + 1 - 9 + 4 - m. Suppose 2*y - 5*q - 21 = 0, 5 = -2*y - q - 4. Calculate y*i(l) + 4*d(l).
2*l + 2
Let f(l) = -l**2 + 8. Suppose -5*z = -4*z - 6. Let g(h) = -2*h**2 + 17. Calculate z*g(j) - 13*f(j).
j**2 - 2
Let w be -1*(4 + (-8)/4 - -2). Let f = 2 + 1. Let i(c) = -3*c**2 - 5 - 2*c - 2*c + 2*c**2 - f*c**3. Let k(u) = -2*u**3 - u**2 - 3*u - 4. Give w*k(y) + 3*i(y).
-y**3 + y**2 + 1
Let k(n) = -8*n**2 + 13*n + 9. Let j(s) = s**2 - s + 1. Let t(h) = -2*j(h) - k(h). Let c(x) = -x**2 + 2*x + 2. Suppose 0 = -7*w - w - 16. Give w*t(f) - 11*c(f).
-f**2
Let t(g) = g**2 + 3. Let n(p) = -2*p**2 - 5 + 0 - 3 + 1. Calculate -3*n(z) - 7*t(z).
-z**2
Let l(j) = -2*j**2 - 4*j + 1. Let c(z) = -3*z + 4*z + z**2 + 2*z - 2*z. Determine -4*c(b) - l(b).
-2*b**2 - 1
Let c(g) = -3*g - 1. Let b be c(-1). Let o(x) = 5*x**3 + 3*x**2 + 3*x - 2. Let f(d) = 3*d**2 + 0*d + 1 - 5*d**2 - 4*d**3 - 2*d. Calculate b*o(r) + 3*f(r).
-2*r**3 - 1
Let o(v) = v - 1. Let y(a) = -2*a**2 + a + 2. Let t be 0/(-1) + 5 + -4. What is t*y(j) + o(j)?
-2*j**2 + 2*j + 1
Let g(l) = -175*l. Let s(i) = -22*i. Give 6*g(z) - 49*s(z).
28*z
Let j(f) be the third derivative of -f**4/12 + f**3/2 + 7*f**2. Let o = 4 + -2. Let u(a) = 1. Let g = -9 + 8. What is g*j(v) + o*u(v)?
2*v - 1
Let q(h) = -4*h**3 + 11*h**2 + 7*h + 7. Let f(r) = -r + 5. Let z be f(9). Let v(s) = 2*s**3 - 6*s**2 - 4*s - 4. Give z*q(i) - 7*v(i).
2*i**3 - 2*i**2
Let i(n) = 2*n**3 - 3*n**2 + 6*n + 8. Suppose -2*c - 1 = s, -3*s - 12 = 3*c - 0*c. Let h(u) = 2*u**3 - 4*u**2 + 7*u + 9. Determine s*i(p) + 6*h(p).
-2*p**3 - 3*p**2 - 2
Let y(w) = -3*w + 8. Let d(i) = -1. Let v(l) = 6*d(l) + y(l). Let p(a) = 2*a - 1. Calculate -7*p(u) - 4*v(u).
-2*u - 1
Let f(n) = n + 5. Let h(l) = l + 4. Let i(d) = -2*d**3 - 4*d**2 - 4*d + 1. Let o be i(-3). Suppose t - w + 12 = 0, -o = 4*t + w - 8. Determine t*h(x) + 6*f(x).
-x + 2
Let b(q) = -4*q**2 - 3*q - 2. Let f(j) = -17*j**2 - 13*j - 9. Determine -18*b(w) + 4*f(w).
4*w**2 + 2*w
Let f(s) = 14*s**3 - 5*s**2. Let j(r) = 5*r**3 - 2*r**2. Suppose -8*b - 10 = 22. Suppose 3*w - 2*w - 11 = 0. Determine b*f(u) + w*j(u).
-u**3 - 2*u**2
Let w(r) = 4*r**3 - 2*r + 2. Let j(v) = -21*v**3 + 11*v - 11. Suppose -i - 4 = i. Determine i*j(z) - 11*w(z).
-2*z**3
Let r(h) = -2*h**2 + h + 3. Let u = -11 + 17. Let b = 8 - u. Let c(l) = 2 + 0*l**2 - 2*l - 7 + 4*l**b. Calculate 3*c(m) + 5*r(m).
2*m**2 - m
Let l(b) = -15*b - 2. Let t(w) = 16 - 8*w - 17 + 0*w. What is 6*l(h) - 11*t(h)?
-2*h - 1
Let k be 8/(-6)*(-1)/((-4)/(-6)). Let o(p) = -p**3 + 2. Let n(f) = -12*f**3 + 27. Determine k*n(t) - 27*o(t).
3*t**3
Let t(i) = 7*i**3 + 9*i**2 + 13*i + 5. Let l(u) = u + u**2 - 3*u**3 - 5*u**2 - 7*u - 2. Give 9*l(g) + 4*t(g).
g**3 - 2*g + 2
Let v(z) = -z**3 + z**2 - z + 1. Let r(s) be the third derivative of -s**6/12 + s**5/12 - 5*s**4/24 + 5*s**3/6 - 28*s**2. Calculate -r(p) + 5*v(p).
5*p**3
Let k(m) = 2*m - 21. Let d be k(13). Let f(g) = -4*g**3 - 2*g**2 - g - 1. Let b(v) = 9*v**3 + 5*v**2 + 2*v + 3. Calculate d*f(x) + 2*b(x).
-2*x**3 - x + 1
Let o(h) = h**3 - 2 - 3*h**3 + 2 - 4. Let v = 0 + 1. Let w(i) = v - 3 - 2*i**3 - 1. Give -3*o(a) + 4*w(a).
-2*a**3
Let m(b) = b**3 + 3*b + 3. Let d = 1 - -19. Let w be 5/(-2)*(-24)/d. Let f be w/6 + (-1)/(-2). Let c(h) = -h**3 - h - 1. Give f*m(i) + 3*c(i).
-2*i**3
Let g be (-8)/16 - 26/(-4). Let h(d) = -d**3 + 1. Let z(s) = -5*s**3 + 8. Calculate g*h(q) - z(q).
-q**3 - 2
Let g(q) = q + 3. Let o(m) = -1. Suppose -8 = 2*l - 3*l. Suppose -5*t = 2*w + 10, l = -4*t - 3*w + 6*w. Give t*o(y) - g(y).
-y - 1
Let w(q) = -6*q**3 - 13*q - 13. Let c(s) = 3*s**3 + 6*s + 6. Let n = -20 - -30. Let y = n - 23. Give y*c(z) - 6*w(z).
-3*z**3
Let j(k) = k. Let z(d) be the first derivative of 3*d**2 + d - 3. Let q be (3/2 + -2)*-2. What is q*z(h) - 5*j(h)?
h + 1
Let i(b) = 9 + 1 + b**2 - 3 - 9*b. Let w = 34 - 16. Suppose -4*u = -5*c + 28, -3*u + 2*c = 2*u + w. Let t(m) = -4*m + 3. Determine u*i(d) + 5*t(d).
-2*d**2 - 2*d + 1
Let q = 5 + -2. Let x(y) = -1 - q + y + 0*y - 4*y**2 + y. Let r(p) = -2*p**2 + p - 2. Give 11*r(h) - 6*x(h).
2*h**2 - h + 2
Let n(k) = -3 + 2*k**2 + 4*k - 9*k + 3 + 3. Let r(t) = 11*t**2 - 29*t + 17. Calculate -34*n(c) + 6*r(c).
-2*c**2 - 4*c
Let r(o) = -o - 7. Let i(s) = 2*s + 6. Determine 3*i(n) + 4*r(n).
2*n - 10
Let s(l) = 2*l + 7. Let u(j) = -j. Let z(i) = -i + 3. Let x(d) = -2*u(d) + z(d). Suppose -3*q - 2*q = -2*f - 33, 0 = 2*q + 5*f + 10. Give q*x(w) - 2*s(w).
w + 1
Let w(b) be the second derivative of -5*b + b**3 + 4*b**2 + 3*b**2 - 4*b**2 - 6*b**2. Let k(r) = 4*r - 4. Give -7*k(o) + 5*w(o).
2*o - 2
Let a(o) = o - 1. Let y(p) = -6*p + 6. Let u(c) = -2*a(c) - y(c). Let k(r) = 6*r - 6. Let v = 12 - 7. What is v*k(b) - 8*u(b)?
-2*b + 2
Suppose 0 = 2*h - h - 3. Let r(x) = 5*x - 4. Let t(c) = 4*c - 4. Give h*r(g) - 4*t(g).
-g + 4
Suppose -16 = -2*w - h + 6, -2*h + 17 = w. Let r(l) = 4*l**2 - 9*l + 9. Let y(u) = 2*u**2 - 4*u + 4. Suppose -4*f - 17 = -1. Calculate f*r(m) + w*y(m).
2*m**2
Let x(v) = 6*v + 1. Let r be (-1)/(-2*(-1)/(-4)). Let u(k) = -2*k. Determine r*x(d) + 7*u(d).
-2*d + 2
Let l(q) = 17*q - 2. Let x(v) = -17*v + 2. Determine -2*l(z) - 3*x(z).
17*z - 2
Let j(z) = -34*z + 8. Let h(d) = 35*d - 9. Calculate 6*h(m) + 7*j(m).
-28*m + 2
Let y(h) = 12*h**3 - 2*h - 3. Let m(t) = -t - 1. Calculate -2*m(b) + y(b).
12*b**3 - 1
Let t(d) = -d - 3. Let w(s) = 1. Let c(x) = -3*t(x) - 5*w(x). Let o(u) be the first derivative of -u**2 - 2*u - 3. Give -3*c(m) - 5*o(m).
m - 2
Let x(m) = -m**2 + 5*m. Let w be x(4). Let y(s) = 10*s - 4. Le | {
"pile_set_name": "DM Mathematics"
} |
arest to 0 in -17, -2, -1, -36?
-1
Which is the nearest to 2/3? (a) -0.08 (b) -2/3 (c) -108
a
Which is the nearest to 3/4? (a) 205 (b) -1 (c) -2 (d) 2
d
What is the closest to -0.2 in -4/7, -2/9, -4, -26, 1.8?
-2/9
Which is the nearest to 0.1? (a) 13 (b) -3/2 (c) -23 (d) -0.1
d
What is the closest to 5.9 in -4.8, 4, -3?
4
Which is the closest to -0.5? (a) -1 (b) -48/5 (c) -0.2
c
Which is the closest to 1/2? (a) -2/3 (b) 48 (c) -0.1
c
Which is the closest to -1? (a) 6 (b) 4.2 (c) 3 (d) -0.3 (e) -2
d
What is the closest to -1/4 in 1/33, -2, -1.4, 0.6?
1/33
What is the nearest to 1/7 in 0.4, -0.06, -9.5, -0.2, -0.7?
-0.06
What is the nearest to 1/3 in -0.1, -1882, -3/19, -14, -1?
-0.1
Which is the closest to -2? (a) -0.019 (b) 32 (c) -1/2
c
What is the nearest to 2.9 in -0.001, 0.5, -2, -0.2, 2?
2
Which is the closest to -1425? (a) -1 (b) 13 (c) 0.1
a
Which is the closest to 1? (a) -0.24 (b) 3 (c) 2/77
c
Which is the closest to -2? (a) -4 (b) 0.4 (c) -3/10 (d) 1089 (e) -5
c
What is the closest to 3.7 in -2/11, -5, 3/8?
3/8
What is the nearest to 4 in 1, 0.24, -4, -2/33?
1
What is the nearest to 0.6 in 3/5, -12, -2/33?
3/5
Which is the nearest to 1/4? (a) -14.7 (b) -1/4 (c) 10 (d) -0.04
d
Which is the closest to 2? (a) 4 (b) -64 (c) -152 (d) 0.4
d
What is the closest to -0.1 in 0, -25, -0.07, -1, 12?
-0.07
What is the nearest to 2/21 in -10/13, 2/7, 3/7, 3?
2/7
Which is the nearest to -0.049? (a) -4 (b) -16 (c) -1/2 (d) -2/3
c
What is the closest to -16 in 2/5, 82, 9?
2/5
Which is the nearest to 665? (a) -0.1 (b) -2 (c) -5 (d) 1/2
d
What is the nearest to 27580.7 in 1/8, -2, 4, 1/4?
4
Which is the closest to -21429? (a) -1/4 (b) 0.1 (c) 2/5
a
What is the closest to 1 in -0.01, 3422, 7?
-0.01
Which is the closest to -1/2? (a) 33 (b) 5 (c) 0.374
c
What is the closest to -148 in 0.2, -0.0761, -2/27?
-0.0761
What is the nearest to 408 in 1/5, -0.13, -0.2, 1/3?
1/3
Which is the closest to 0? (a) 12 (b) 0 (c) -2.62 (d) 0.05 (e) -0.1
b
What is the closest to 1 in 1/9, 91, 0.985, 3?
0.985
Which is the nearest to 0.1? (a) -8 (b) -27 (c) 1532
a
Which is the nearest to -0.9? (a) 1 (b) 58.8 (c) -1 (d) -0.3
c
What is the nearest to -3 in -10, -0.5, -22, -0.1, 13?
-0.5
Which is the closest to -1/10? (a) 181 (b) 0.1 (c) -2/9
c
What is the closest to -1.7 in 0.1, 3, -2, 2077?
-2
What is the nearest to -1 in 511, 0.7, 3?
0.7
What is the nearest to 2/39 in 1/15, -4, -0.1?
1/15
What is the closest to -0.1 in -4, 0, 23, -7, -61?
0
What is the closest to -0.079 in -0.5, -113, 5?
-0.5
Which is the nearest to 9? (a) -4 (b) 0.03 (c) -15 (d) -3
b
What is the closest to 1/6 in -0.5, 1, -0.2, -114, -0.03?
-0.03
Which is the closest to -2? (a) -1/3 (b) -3 (c) 0.2 (d) -5 (e) -1/2178
b
Which is the closest to 1? (a) -1/3 (b) -0.419 (c) -4 (d) 1
d
What is the nearest to 1/6 in 27, -1, 6?
-1
What is the closest to 1/19 in 0.5, 0.2, -5, -0.1, 5?
0.2
What is the closest to 0 in 0.1, -29/51, 15, -31, 5?
0.1
What is the nearest to 1/7 in -2, 8, -0.07?
-0.07
What is the closest to 75 in -3/4, 49, -0.38?
49
Which is the closest to 20? (a) 0.036 (b) -3 (c) 3 (d) 3/5
c
Which is the nearest to 149? (a) -1/3 (b) 1.1 (c) -2 (d) -0.2 (e) 0.2
b
What is the nearest to 4 in 0.3, 1.23, 4/3, 0.1?
4/3
Which is the closest to 0.418? (a) 0.14 (b) 0.1 (c) 2
a
What is the nearest to -2 in 1, -1/4, 17?
-1/4
What is the closest to -0.23 in -1/2, 1, -221?
-1/2
What is the nearest to -37 in -1, -0.54, 5?
-1
Which is the nearest to 0.1? (a) -0.1 (b) 0 (c) -13 (d) 3/1150 (e) -2
d
Which is the closest to 0? (a) 57/23 (b) 1 (c) -0.2 (d) 5
c
What is the nearest to 2/7 in 0.05, -0.2, 1/457?
0.05
What is the closest to 2 in -32, 0.1, 0.088?
0.1
Which is the nearest to 0? (a) 0.3 (b) 64.2 (c) 65 (d) -0.2 (e) -2
d
Which is the closest to -2/5? (a) 1 (b) -0.1184 (c) -4
b
Which is the nearest to -0.1? (a) -2/11 (b) 10 (c) -2 (d) 1/7 (e) -32
a
What is the closest to -1/4 in -1, 0.008, 1/5, -2/3, -0.86?
0.008
Which is the nearest to 0.1? (a) -0.0433 (b) 5 (c) 372
a
What is the nearest to 1 in -2/15, 13, -18/13?
-2/15
Which is the nearest to -22/45? (a) -3/5 (b) -2/3 (c) -0.5
c
Which is the closest to -8? (a) 3 (b) 11 (c) -0.1 (d) -4/7 (e) 3/4
d
What is the nearest to 2/3 in -3.3, -0.1, 0.057?
0.057
What is the nearest to 2.4578 in 2, -2/5, 0.4?
2
Which is the nearest to -5? (a) -14 (b) -16/97 (c) 0 (d) 1/5 (e) 0.1
b
What is the nearest to 2579 in -0.5, -4, -1/3?
-1/3
What is the closest to -188 in 2, -1/3, 15?
-1/3
What is the closest to 1 in -16, 1436, 4, 5?
4
What is the closest to 0 in -23, 4, -3/7, 32?
-3/7
What is the nearest to 19 in 3, -0.06, -1/21?
3
Which is the nearest to -120/7? (a) -0.4 (b) -3 (c) 7 (d) 64
b
Which is the nearest to -0.05? (a) -0.02 (b) -260 (c) 0
a
What is the closest to 2 in 0.2, -1065, -1, 2?
2
Which is the closest to -15.4? (a) -2/3 (b) 4 (c) -13 (d) 0.2 (e) -0.1
c
What is the closest to 5/18 in 4, 1, -1/4?
-1/4
What is the nearest to -1 in 10995, 1/2, 5/12?
5/12
Which is the closest to -0.2? (a) -2 (b) 1/3 (c) 0.2055
c
What is the nearest to 2/3 in -91, -4/13, 0.4, 1.4?
0.4
Which is the nearest to -1/4? (a) -62 (b) -7/6 (c) 0 (d) -3 (e) -0.2
e
What is the nearest to -3 in -0.2, -4, -2/11?
-4
What is the nearest to 1 in 3, -0.07, -2/1383?
-2/1383
Which is the closest to 15932? (a) 1/2 (b) -0.1 (c) -2/3
a
Which is the closest to 0.008? (a) -2/15 (b) -15 (c) 1/2 (d) -3
a
Which is the nearest to 0.1? (a) 183 (b) 1/127 (c) -5 (d) 2/7 (e) 5
b
What is the nearest to -1/3 in 3/5, 0.4, -5/4, 132/7, -2/3?
-2/3
Which is the closest to 0.2? (a) 3/7 (b) -0.1522 (c) 1 (d) 2
a
What is the nearest to 3/2 in 7/4, -0.2, 5, 3.8, 15?
7/4
What is the closest to 0.1 in 1/2, -18, -4, -1/5, 5?
-1/5
Which is the closest to -1? (a) 0 (b) -4 (c) 6 (d) -1/11 (e) -0.2244
e
Which is the closest to -2/7? (a) -2 (b) 0 (c) -2/11 (d) 2/49 (e) 1/18
c
Which is the closest to -3? (a) 1 (b) -0.3 (c) 3156
b
What is the closest to 1093 in 2, -9, -3?
2
Which is the nearest to 0.1? (a) 0.1 (b) 1 (c) 7912 (d) -6/7
a
What is the closest to -5 in -203.5, 2/13, 1?
2/13
Which is the closest to 10/7? (a) 4 (b) -3/19 (c) -1 (d) -0.3
b
Which is the closest to -0.1? (a) -0.2 (b) 0.12 (c) 5 (d) -12
a
What is the nearest to -1 in 8/19097, 1/3, -2/13?
-2/13
What is the nearest to 2/3 in -4, 0, -1/3605?
0
What is the closest to 0 in -5, 2923, -2/7, -2?
-2/7
What is the closest to 4231 in -0.1, 0.1, -5?
0.1
Which is the nearest to 2/7? (a) -0.8 (b) -2/3 (c) 0 (d) -3
c
Which is the closest to -10? (a) -634 (b) 5/2 (c) 2 (d) 1/6 (e) 12
d
Which is the closest to -3? (a) 1/7 (b) 0.2 (c) -1/7 (d) -1527
c
Which is the closest to 3/8? (a) -3/47 (b) -2/5 (c) -17
a
Which is the closest to 0.6? (a) 4 (b) 3/4 (c) 2 (d) -6/5
b
Which is the nearest to 1? (a) -0.4 (b) -0.2 (c) 2524 (d) -4
b
What is the nearest to -3 in -26, -45, 5, 0.5?
0.5
What is the closest to -0.1 in -158, -17, 6, 2/5?
2/5
What is the nearest to 4 in -1006, 3/5, -1/9?
3/5
What is the closest to -0.1 in 2/5, 1/11228, -5?
1/11228
Which is the closest to 4? (a) -2/9 (b) -7 (c) 3.53
c
Which is the closest to 6/5? (a) -2 (b) 1275 (c) -1
c
Which is the closest to -1168? (a) 5 (b) 2 (c) 0.01 (d) -2
d
Which is the closest to -2? (a) -8 (b) 5 (c) 0.38 (d) 0 (e) 0.1
d
What is the closest to -18 in 1, -972, -5?
-5
What is the nearest to 1 in 16, 10, 4, 5, 2?
2
What is the closest to 0.1 in 0.4, 15.7, -5/23?
0.4
What is the nearest to -0.1 in 22/9, -8/11, -4/5?
-8/11
Which is the nearest to -2? (a) -9.3 (b) -1/12 (c) -161 (d) 0 (e) -0.2
e
Which is the closest to -1? (a) 0.3 (b) -0.4 (c) -6 (d) -109 (e) -2/7
b
What is the closest to -974/5 in -2/17, -0.5, 0.12?
-0.5
What is the closest to 2/51 in 14, 4, 3, -3?
3
Which is the nearest to 0.3? (a) 3 (b) -0.02 (c) -5 (d) -0.4 (e) 205
b
What is the nearest to 2/3 in -1/6, 0, -0.5, -2/81, -2?
0
What is the closest to -30 in -5, 2/139, -4, -0.3, -1?
-5
Which is the nearest to 0.3? (a) -0.2 (b) -5/28 (c) -1/3
b
What is the closest to -2/7 in 2.1, -5, 372?
2.1
What is the nearest to -0.205 in -1, 2, | {
"pile_set_name": "DM Mathematics"
} |
How many minutes are there between 11:01 PM and 1:08 AM?
127
How many minutes are there between 7:53 AM and 3:43 PM?
470
How many minutes are there between 11:20 AM and 9:50 PM?
630
How many minutes are there between 6:10 AM and 3:43 PM?
573
What is 443 minutes after 3:12 PM?
10:35 PM
How many minutes are there between 2:26 AM and 4:50 AM?
144
What is 237 minutes after 10:17 PM?
2:14 AM
How many minutes are there between 8:01 AM and 5:56 PM?
595
How many minutes are there between 1:57 PM and 6:43 PM?
286
What is 313 minutes before 4:03 PM?
10:50 AM
What is 76 minutes after 1:58 AM?
3:14 AM
What is 578 minutes before 5:08 PM?
7:30 AM
How many minutes are there between 9:27 PM and 3:04 AM?
337
How many minutes are there between 3:15 AM and 5:25 AM?
130
What is 298 minutes after 9:58 AM?
2:56 PM
How many minutes are there between 8:58 PM and 9:36 PM?
38
What is 556 minutes after 12:31 AM?
9:47 AM
How many minutes are there between 2:04 AM and 6:00 AM?
236
How many minutes are there between 3:01 PM and 11:12 PM?
491
What is 643 minutes after 2:02 AM?
12:45 PM
What is 641 minutes after 4:06 AM?
2:47 PM
What is 175 minutes after 9:14 AM?
12:09 PM
What is 453 minutes before 12:09 PM?
4:36 AM
How many minutes are there between 5:21 AM and 11:48 AM?
387
How many minutes are there between 1:19 AM and 12:56 PM?
697
How many minutes are there between 7:11 PM and 3:21 AM?
490
How many minutes are there between 6:06 PM and 11:23 PM?
317
How many minutes are there between 5:04 PM and 10:22 PM?
318
How many minutes are there between 5:15 PM and 2:58 AM?
583
How many minutes are there between 8:38 PM and 7:50 AM?
672
What is 616 minutes after 5:04 PM?
3:20 AM
How many minutes are there between 2:43 AM and 10:06 AM?
443
How many minutes are there between 7:19 AM and 9:26 AM?
127
How many minutes are there between 9:12 AM and 1:03 PM?
231
What is 2 minutes after 9:34 AM?
9:36 AM
How many minutes are there between 1:56 PM and 6:16 PM?
260
What is 318 minutes before 3:40 AM?
10:22 PM
How many minutes are there between 1:18 AM and 5:44 AM?
266
What is 581 minutes after 12:21 AM?
10:02 AM
How many minutes are there between 3:10 AM and 2:49 PM?
699
What is 570 minutes after 4:50 PM?
2:20 AM
What is 401 minutes after 8:49 AM?
3:30 PM
How many minutes are there between 9:48 PM and 1:12 AM?
204
How many minutes are there between 4:20 AM and 5:23 AM?
63
What is 646 minutes after 7:22 PM?
6:08 AM
What is 576 minutes after 3:22 PM?
12:58 AM
What is 504 minutes after 8:42 PM?
5:06 AM
How many minutes are there between 1:45 PM and 4:25 PM?
160
What is 502 minutes before 11:11 AM?
2:49 AM
How many minutes are there between 9:05 AM and 6:43 PM?
578
How many minutes are there between 10:05 AM and 3:25 PM?
320
What is 35 minutes before 9:10 AM?
8:35 AM
How many minutes are there between 5:35 PM and 12:35 AM?
420
What is 71 minutes after 7:47 AM?
8:58 AM
How many minutes are there between 11:09 AM and 7:57 PM?
528
What is 260 minutes after 12:10 AM?
4:30 AM
What is 322 minutes before 5:43 AM?
12:21 AM
How many minutes are there between 12:23 AM and 10:54 AM?
631
What is 4 minutes after 11:15 PM?
11:19 PM
What is 195 minutes after 1:24 AM?
4:39 AM
What is 52 minutes after 7:44 AM?
8:36 AM
How many minutes are there between 11:01 PM and 7:23 AM?
502
What is 231 minutes before 12:57 AM?
9:06 PM
What is 710 minutes after 6:16 AM?
6:06 PM
What is 646 minutes after 6:22 PM?
5:08 AM
How many minutes are there between 9:46 PM and 1:42 AM?
236
How many minutes are there between 9:09 PM and 7:33 AM?
624
What is 572 minutes before 11:55 PM?
2:23 PM
How many minutes are there between 6:15 PM and 2:26 AM?
491
How many minutes are there between 10:40 PM and 10:17 AM?
697
How many minutes are there between 8:49 AM and 4:39 PM?
470
What is 103 minutes before 9:36 PM?
7:53 PM
How many minutes are there between 4:25 AM and 7:05 AM?
160
What is 360 minutes after 12:56 AM?
6:56 AM
What is 289 minutes before 2:27 PM?
9:38 AM
What is 298 minutes before 2:29 PM?
9:31 AM
What is 38 minutes before 8:32 AM?
7:54 AM
How many minutes are there between 5:31 PM and 11:12 PM?
341
How many minutes are there between 6:08 PM and 2:35 AM?
507
What is 560 minutes before 11:03 PM?
1:43 PM
What is 255 minutes after 8:49 AM?
1:04 PM
How many minutes are there between 1:54 PM and 8:55 PM?
421
How many minutes are there between 9:20 PM and 9:53 PM?
33
What is 595 minutes after 8:54 PM?
6:49 AM
How many minutes are there between 12:30 AM and 4:45 AM?
255
What is 53 minutes before 2:47 AM?
1:54 AM
How many minutes are there between 3:30 AM and 2:57 PM?
687
What is 318 minutes before 3:14 AM?
9:56 PM
How many minutes are there between 5:00 AM and 6:55 AM?
115
How many minutes are there between 6:25 PM and 8:12 PM?
107
How many minutes are there between 6:22 PM and 4:42 AM?
620
What is 69 minutes before 4:39 AM?
3:30 AM
What is 387 minutes after 10:49 AM?
5:16 PM
How many minutes are there between 1:55 PM and 6:34 PM?
279
How many minutes are there between 1:09 AM and 12:59 PM?
710
How many minutes are there between 4:57 AM and 11:57 AM?
420
How many minutes are there between 4:06 PM and 12:18 AM?
492
How many minutes are there between 5:47 PM and 5:34 AM?
707
How many minutes are there between 1:48 PM and 12:52 AM?
664
What is 103 minutes after 12:28 AM?
2:11 AM
How many minutes are there between 11:57 AM and 10:21 PM?
624
How many minutes are there between 1:23 PM and 12:18 AM?
655
What is 240 minutes before 9:28 PM?
5:28 PM
What is 2 minutes before 2:51 AM?
2:49 AM
What is 136 minutes after 6:52 AM?
9:08 AM
How many minutes are there between 1:27 PM and 4:07 PM?
160
What is 672 minutes after 3:31 PM?
2:43 AM
How many minutes are there between 3:56 PM and 2:53 AM?
657
What is 152 minutes after 6:44 AM?
9:16 AM
How many minutes are there between 9:25 PM and 7:32 AM?
607
How many minutes are there between 8:05 AM and 3:39 PM?
454
How many minutes are there between 9:33 AM and 12:07 PM?
154
How many minutes are there between 2:59 PM and 1:04 AM?
605
How many minutes are there between 10:03 AM and 3:35 PM?
332
What is 283 minutes before 6:02 AM?
1:19 AM
How many minutes are there between 5:23 PM and 6:07 PM?
44
What is 67 minutes before 2:19 PM?
1:12 PM
What is 236 minutes before 3:53 PM?
11:57 AM
What is 675 minutes before 3:43 PM?
4:28 AM
How many minutes are there between 10:29 PM and 6:22 AM?
473
How many minutes are there between 7:31 AM and 3:05 PM?
454
How many minutes are there between 2:51 AM and 10:01 AM?
430
What is 277 minutes after 10:04 PM?
2:41 AM
What is 386 minutes after 9:36 AM?
4:02 PM
What is 644 minutes before 11:24 AM?
12:40 AM
What is 320 minutes before 7:02 PM?
1:42 PM
How many minutes are there between 2:15 PM and 1:42 AM?
687
What is 344 minutes before 8:17 PM?
2:33 PM
How many minutes are there between 10:33 AM and 5:58 PM?
445
What is 385 minutes before 12:53 PM?
6:28 AM
What is 202 minutes before 2:27 PM?
11:05 AM
What is 583 minutes after 4:19 PM?
2:02 AM
What is 40 minutes before 9:09 AM?
8:29 AM
How many minutes are there between 9:21 PM and 3:27 AM?
366
How many minutes are there between 1:36 PM and 11:27 PM?
591
How many minutes are there between 10:22 AM and 2:13 PM?
231
What is 607 minutes before 6:08 PM?
8:01 AM
How many minutes are there between 9:01 AM and 2:01 PM?
300
What is 376 minutes before 7:36 AM?
1:20 AM
What is 503 minutes before 7:08 PM?
10:45 AM
How many minutes are there between 6:34 AM and 8:34 AM?
120
What is 300 minutes before 8:53 AM?
3:53 AM
What is 549 minutes after 10:01 PM?
7:10 AM
What is 63 minutes before 1:58 PM?
12:55 PM
How many minutes are there between 3:47 PM and 4:20 PM?
33
What is 142 minutes after 7:05 AM?
9:27 AM
How many minutes are there between 12:28 PM and 7:29 PM?
421
What is 586 minutes after 12:44 PM?
10:30 PM
How many minutes are there between 4:35 PM and 5:16 PM?
41
How many minutes are there between 1:55 AM and 1:26 PM?
691
How many minutes are there between 6:50 PM and 3:30 AM?
520
How many minutes are there between 1:01 AM and 11:25 AM?
624
How many minutes are there between 8:32 PM and 1:41 AM?
309
What is 670 minutes after 5:06 PM?
4:16 AM
What is 644 minutes before 10:27 PM?
11:43 AM
What is 444 minutes after 12:01 PM?
7:25 PM
How many | {
"pile_set_name": "DM Mathematics"
} |
3
Suppose 3*a - 2*a + y - 5 = 0, 10 = 2*y. What is the third derivative of a*f**2 - 5*f**3 + f**3 + 16*f**2 wrt f?
-24
Let c(q) be the third derivative of 89*q**6/120 + q**5/10 + q**4/8 - 5*q**2 - 3. Find the third derivative of c(j) wrt j.
534
Differentiate h**3 + 14*h**3 - 17*h**3 + 253 + 62*h**2 wrt h.
-6*h**2 + 124*h
Let r(l) = 5*l**2 - 2*l. Let i be (14/21)/(1/48). Let s(b) = i - 32 + 5*b**2 - 2*b. Let w(a) = 4*r(a) - 3*s(a). What is the second derivative of w(y) wrt y?
10
Let h = 10 - 8. Let c be (-9)/6*8/(-6). Find the second derivative of 2*z**h - z + 2*z**2 - c*z wrt z.
8
Find the third derivative of -412*z**3 + 147*z**2 - 268*z**2 - 24*z + 132*z**2 wrt z.
-2472
Let w(v) be the second derivative of 29*v**6/3 + 137*v**2/2 + 18*v + 1. Find the first derivative of w(f) wrt f.
1160*f**3
Let l(z) = -z - 1. Let u be l(10). Let a = u + 14. Differentiate 5 - 11 + 5*s**a - s**3 with respect to s.
12*s**2
Let k(z) be the first derivative of 5*z**6 - z**2 + 44. What is the second derivative of k(x) wrt x?
600*x**3
Let f(g) = 1585*g**4 + 9*g**2 + 448*g + 9. Let r(m) = 794*m**4 + 4*m**2 + 224*m + 4. Let k(u) = -4*f(u) + 9*r(u). Find the second derivative of k(l) wrt l.
9672*l**2
Let h(n) = n**2 - 8*n + 3. Let m be h(8). Find the first derivative of 5*x**3 + 9 + 3*x**3 + 3*x**m - 6*x**3 wrt x.
15*x**2
Let q(a) be the third derivative of 11*a**6/24 - 65*a**3/2 - 265*a**2 - 2*a. Find the first derivative of q(p) wrt p.
165*p**2
Let g = -217 + 139. Let v = 149 + g. Find the third derivative of 71*k - 12*k**4 - v*k + 4*k**2 wrt k.
-288*k
Let d = 1086 - 102. Let f(m) = -m**3 - 4*m**2 + 3*m - 6. Let a be f(-5). What is the first derivative of d*t**3 + 4 - 972*t**3 + a wrt t?
36*t**2
Let i(g) = -2*g**2 - 1. Let r(q) = 111*q**2 - 111*q + 4. Let u(d) = -4*i(d) - r(d). Find the second derivative of u(f) wrt f.
-206
Suppose 2*m = 4*n - m - 7, -13 = -4*n + m. What is the third derivative of 8*i**5 - 348*i**4 + 4*i**2 + 348*i**n wrt i?
480*i**2
Let l be ((-581)/(-105) - 3) + 2/15. Let t(a) be the first derivative of l*a**3 + 3 + 2*a**2 + 0*a. What is the second derivative of t(f) wrt f?
16
Let j(x) = 73*x**2 - 2*x - 6. Let k be j(-9). What is the derivative of 5925*m**2 + 3*m**3 - k*m**2 + 4 wrt m?
9*m**2
Suppose -4*f = 4*c - 40, -5*f + 3*f + 5*c + 20 = 0. Find the second derivative of -f*x - 12*x + 7*x**3 - 9*x**3 wrt x.
-12*x
Let r(w) be the second derivative of 67*w**3/3 - 509*w**2/2 - 174*w. What is the first derivative of r(p) wrt p?
134
What is the derivative of 67*t + 682 - 563 - 316 wrt t?
67
Find the third derivative of 2*b**2 + 208*b**6 + 58*b + 61*b - 55*b wrt b.
24960*b**3
Let m(w) be the third derivative of -22*w**2 + 0*w - 17/3*w**3 + 0*w**5 + 0*w**4 + 0*w**6 + 0 + 1/10*w**7. Differentiate m(q) with respect to q.
84*q**3
Let n(d) be the third derivative of 4/105*d**7 + 0*d**4 + 0*d**5 + 9*d**2 + 0 + 0*d + 0*d**6 + 1/2*d**3. What is the first derivative of n(z) wrt z?
32*z**3
Let m(h) = -886*h**4 - 42*h**2 - 18*h - 13. Let f(v) = -442*v**4 - 21*v**2 - 8*v - 6. Let n(i) = 13*f(i) - 6*m(i). Find the third derivative of n(z) wrt z.
-10320*z
Let s(x) be the first derivative of 0*x**4 - 8*x + 0*x**2 - 42/5*x**5 - 20 + 0*x**3. Differentiate s(d) wrt d.
-168*d**3
Let p(q) = -1209*q**4 + 42*q**2 - 21*q - 831. Let s(w) = 121*w**4 - 4*w**2 + 2*w + 83. Let r(x) = 2*p(x) + 21*s(x). What is the first derivative of r(f) wrt f?
492*f**3
Let v(p) be the third derivative of 43*p**6/120 - p**4/12 + 3*p**3 - 136*p**2. What is the second derivative of v(h) wrt h?
258*h
Let i(o) = o**2 - 4*o - 3. Let d be i(5). Suppose 4*q + d = 5*q. Find the third derivative of z**4 + 0*z**2 - 2*z**4 + 6*z**q wrt z.
-24*z
Let v(w) = w**3 - 4*w + 4. Let d be v(3). Let j = 19 - d. Find the second derivative of -6*f**3 + 2*f + j*f**2 + 0*f**2 + 6*f wrt f.
-36*f
Let t(z) = z**4 + 2*z**3 + z**2 + z. Let v(q) = 174*q**4 + 10*q**3 - 12*q**2 + 9*q. Let h(a) = -5*t(a) + v(a). What is the third derivative of h(p) wrt p?
4056*p
Find the third derivative of 23*r**3 - 239*r**2 + 230*r**2 - r + 24*r**3 + 0*r wrt r.
282
Let c(v) = -2*v**2 - 8*v - 3. Let l(k) = 4*k**2 + 16*k + 5. Let f(x) = -9*c(x) - 4*l(x). What is the second derivative of f(j) wrt j?
4
Suppose 5*s + 2*a + 22 = 0, 3*a = -0*s + s + 1. Let f(t) = 27*t**2 + 24. Let d(m) = -9*m**2 - 8. Let q(l) = s*f(l) - 11*d(l). Differentiate q(n) wrt n.
-18*n
Suppose 9*o - 6*o - 12 = 0. Find the third derivative of -13*a**2 + 3*a**o + 6*a + a**4 - 6*a wrt a.
96*a
Find the second derivative of -5 + 164*y + 375*y**4 - 84*y + 275*y + 5 wrt y.
4500*y**2
Let c(u) be the first derivative of -167*u**5/5 + 5*u**2/2 + 3*u + 106. What is the second derivative of c(s) wrt s?
-2004*s**2
Let t(c) be the second derivative of -10*c**7/7 - c**4/6 + 2*c**3 + 7*c + 9. What is the second derivative of t(o) wrt o?
-1200*o**3 - 4
Let q(p) = 3*p + 18. Let x be q(-5). Differentiate x - 1 - 9*u - 7 - 2 with respect to u.
-9
Let p(d) = -52*d - 114. Let c(t) = 103*t + 229. Let z(m) = -6*c(m) - 11*p(m). Differentiate z(x) with respect to x.
-46
Let t(v) = -13*v - 87. Let g be t(-7). Let s(y) be the first derivative of -2 + 0*y**3 - 9/4*y**g - 7*y + 0*y**2. Differentiate s(w) with respect to w.
-27*w**2
Suppose 280 = -8*z + 1344. What is the derivative of -56*k**3 - 36 - 48*k**3 + z*k**3 wrt k?
87*k**2
Let v = -49 + 54. Find the third derivative of 4*n**4 - 4*n**4 - 23*n**v - 45*n**2 + 26*n**2 wrt n.
-1380*n**2
Suppose -v + 0*d + 4*d = -25, -3*d - 30 = -3*v. Let h(s) = s**2 - 2*s - 4. Let b be h(v). What is the second derivative of 0*k + b*k**5 - 7*k**5 + k wrt k?
80*k**3
Let y(m) be the third derivative of m**8/2 - 63*m**5/20 + 3*m**2 - 14*m. What is the third derivative of y(c) wrt c?
10080*c**2
Let b be ((-1)/((-10)/54))/((-15)/(-50)). Differentiate 34*t - b*t + 16 + 27*t + 0*t with respect to t.
43
What is the second derivative of 9*h - 101*h**2 - 18*h + 16*h - 72*h**2 + 5*h wrt h?
-346
Let d(r) = 19*r - 9. Let q(a) = -a. Let g(y) = -d(y) + 3*q(y). Let i(v) = -22*v + 10. Let z(w) = -3*g(w) + 2*i(w). Differentiate z(n) with respect to n.
22
Let j(h) be the second derivative of -h**5/20 - 4*h**4 + 28*h**3/3 - h**2 - 185*h. What is the second derivative of j(p) wrt p?
-6*p - 96
Let q be ((-3)/2)/(18/(-84)). Let y(t) = t**2 - 3*t - 5. Let r be y(5). Find the third derivative of 7*n**4 + 0*n**4 + r*n**2 + 7*n**5 - q*n**4 wrt n.
420*n**2
Let v(c) = c**3 + 2*c**2 + c + 1. Let o(l) = 36*l**3 - 5*l**2 - 3*l - 7. Let b = -47 + 50. Let g(y) = b*v(y) + o(y). What is the first derivative of g(k) wrt k?
117*k**2 + 2*k
Let y(u) = -u**2 + u - 94. Let w(a) = -a**2 - a + 94. Let t(r) = 4*w(r) + 3*y(r). What is the second derivative of t(q) wrt q?
-14
Let r(i) be the first derivative of 2*i**6/3 + 8*i**5/5 + 40*i**3/3 + 3*i - 76. What is the third derivative of r(w) wrt w?
240*w**2 + 192*w
Suppose 0 = 19*f - 13*f - 30. Let o(h) be the first derivative of -f + h + 0*h**3 - 5/4*h**4 + 0*h**2. Find the first derivative of o(n) wrt n.
-15*n**2
Let a(r) be the first derivative of 17*r**5 + r**3/3 + 31*r**2 - 111. Find the third derivative of a(c) wrt c.
2040*c
Let o(t) = -t**2 - t + 4. Let r(k) = 10*k**2 + 13*k + 368. Let p(w) = -6*o(w) - r(w). What is the derivative of p(f) wrt f?
-8*f - 7
Let k(d) be the third derivative of -7/30*d**6 + 0*d**4 + 35*d**2 + 0 - 19/3*d**3 + 0*d**5 + 0*d. Differentiate k(o) with respect to o.
-84*o**2
Let h(t) = -t**2 + 6*t + 2. Suppose -3*y + 22 - 4 = 0. Let n be h(y). Find the first derivative of 1 + n*c**2 + 4 - 4 - 9 wrt c.
4*c
Differentiate 101*t**4 - 554*t**2 + 554*t**2 + 81 wrt t.
404*t**3
Find the second derivative of -351*j + 353*j - 73*j**2 - 76 - 64*j**2 - 78*j**2 wrt j.
-430
Find the first derivative of 27 + 32 - 21 + 6*g**2 + 16*g wrt g.
12*g + 16
Let x = -32 - -21. Let o be x/22*-4*2. What is the second derivative of 97*i**3 - 2*i + 5*i**o - 97*i**3 wrt i?
60*i**2
Let w = 13 + -10. Let g = -1 + w. What is the derivative of 2*l - g*l + 0*l - 4 - l wrt l?
-1
Let l(v) = v**3 + 15*v**2 + 13*v - 7. Let w be l(-13). What is the third derivative of -32*f**3 + 162 - w + 14*f**2 wrt f?
-192
Let o(t) be the second derivative of 23/6*t**3 + 0*t**4 + 0*t**6 - 7*t + 0 + 22/21*t**7 + 0*t**5 + 0*t**2. What is the second derivative of o(b) wrt b?
880*b**3
Let s(t | {
"pile_set_name": "DM Mathematics"
} |
9, -0.03, 0.5, 4, 460
Sort 0, 2, -6836, 3, -3.
-6836, -3, 0, 2, 3
Sort -175, -3, 0, 402 in ascending order.
-175, -3, 0, 402
Sort -5, 3, 4, -77 in descending order.
4, 3, -5, -77
Sort -3, 3, 4, -424.
-424, -3, 3, 4
Put -4, -64, 0.3, -31 in descending order.
0.3, -4, -31, -64
Sort 3, 205, 2, -5.
-5, 2, 3, 205
Put 186, 3, -2, 4 in descending order.
186, 4, 3, -2
Sort -183/1712, 4, -5, 0.4 in decreasing order.
4, 0.4, -183/1712, -5
Sort -0.3, -5/11, -3, 5 in decreasing order.
5, -0.3, -5/11, -3
Sort -32, 0.2, 5, 0.3, -2/47 in ascending order.
-32, -2/47, 0.2, 0.3, 5
Put 651, 4, -4, 1, -5 in descending order.
651, 4, 1, -4, -5
Put -5, -15, -1, -3, -9 in increasing order.
-15, -9, -5, -3, -1
Sort 192, -5, 0, 1, 6 in descending order.
192, 6, 1, 0, -5
Put -174, -10, -44 in increasing order.
-174, -44, -10
Put -5, 7, 1, -11, 0, -3 in increasing order.
-11, -5, -3, 0, 1, 7
Put 3.6, -2/103, 39 in decreasing order.
39, 3.6, -2/103
Sort -1/38, -1/2, -1/10, 1/11 in decreasing order.
1/11, -1/38, -1/10, -1/2
Sort -11, -5, -2, -1, -10 in decreasing order.
-1, -2, -5, -10, -11
Sort 19, -36, 215 in increasing order.
-36, 19, 215
Sort 1/6, 2/5, 0.3, 0.12, -10.
-10, 0.12, 1/6, 0.3, 2/5
Sort 418, 41, 4, 0, 3 in increasing order.
0, 3, 4, 41, 418
Put 3/4, 3, -42683 in decreasing order.
3, 3/4, -42683
Put -5, 33, 0.21, -12/41 in descending order.
33, 0.21, -12/41, -5
Put 2, 3/5, -0.3, 134/3, 118 in descending order.
118, 134/3, 2, 3/5, -0.3
Sort 1, 0, -5, -35, -3.
-35, -5, -3, 0, 1
Sort -705/8, -0.1, 0.68, 3 in decreasing order.
3, 0.68, -0.1, -705/8
Sort 0.4, 0.44312, -2, -0.2 in descending order.
0.44312, 0.4, -0.2, -2
Sort 50, 140, -2 in ascending order.
-2, 50, 140
Sort -0.1, -1/4, 58, 5.3, -1/6, 0.4 in ascending order.
-1/4, -1/6, -0.1, 0.4, 5.3, 58
Put -11, -5, -7, 98 in decreasing order.
98, -5, -7, -11
Put 170361, -0.2, -0.3 in increasing order.
-0.3, -0.2, 170361
Sort -3756, -3, 4, -5 in descending order.
4, -3, -5, -3756
Sort 5, -2, 248/103, -0.5.
-2, -0.5, 248/103, 5
Sort -38, -2, 11 in ascending order.
-38, -2, 11
Put -144, -265, 1, -4, -2 in increasing order.
-265, -144, -4, -2, 1
Put 0.034, 0.1, 2/7, -316 in descending order.
2/7, 0.1, 0.034, -316
Sort -6, -3, 1/7, 0.53, 17 in increasing order.
-6, -3, 1/7, 0.53, 17
Sort -24, 3, 4, -41, -2, -4 in ascending order.
-41, -24, -4, -2, 3, 4
Sort -30, 3, 2, -4, -169 in ascending order.
-169, -30, -4, 2, 3
Sort 4, 59, 1/4, 3/2 in decreasing order.
59, 4, 3/2, 1/4
Put -3, -4, 28, 115, 4 in descending order.
115, 28, 4, -3, -4
Sort 0, 1/28, 0.2, 41.
0, 1/28, 0.2, 41
Sort -5, -187, -1, 18 in increasing order.
-187, -5, -1, 18
Put 1, 0.2, 3, -18997 in decreasing order.
3, 1, 0.2, -18997
Sort 1/4, -4, -0.4, -16, -5.
-16, -5, -4, -0.4, 1/4
Sort 0.15, 0.5, 0.007, 2/21.
0.007, 2/21, 0.15, 0.5
Sort 73357, -5, 4 in decreasing order.
73357, 4, -5
Put 1, -32, 16 in increasing order.
-32, 1, 16
Sort -4, 4, 5, -217, -5, -6.
-217, -6, -5, -4, 4, 5
Sort 5225, 5, -5 in ascending order.
-5, 5, 5225
Sort -4, 0.2, 76/13, -2/5.
-4, -2/5, 0.2, 76/13
Put -0.2, 0.4, -1007, 0.09, 0.2 in descending order.
0.4, 0.2, 0.09, -0.2, -1007
Sort -58, -15, 1, -5, -2 in increasing order.
-58, -15, -5, -2, 1
Put 4, 3, 1/4, 0.0047 in decreasing order.
4, 3, 1/4, 0.0047
Sort -2, 981, 141, 2.
-2, 2, 141, 981
Sort 16, -2/19, -22, -3/5, -0.1 in decreasing order.
16, -0.1, -2/19, -3/5, -22
Sort 1, 136, 354.
1, 136, 354
Sort -77, -1/14, 0.4, -7 in ascending order.
-77, -7, -1/14, 0.4
Sort 2, 0, -1/5, -0.37, -0.3 in descending order.
2, 0, -1/5, -0.3, -0.37
Sort 3, 23/221, -0.4 in decreasing order.
3, 23/221, -0.4
Sort -8, 3, 12, 0, 5.
-8, 0, 3, 5, 12
Put 71, 4, -103 in increasing order.
-103, 4, 71
Sort -3, 133, 708.
-3, 133, 708
Sort 255, -140, 5 in decreasing order.
255, 5, -140
Sort 735, -33, -1, -4 in decreasing order.
735, -1, -4, -33
Sort -4, 96828, 4.
-4, 4, 96828
Put -1, -8, -3, -4, 5 in descending order.
5, -1, -3, -4, -8
Sort 3, 4, 0.3, -0.01, -171.6, 0 in increasing order.
-171.6, -0.01, 0, 0.3, 3, 4
Sort -1, -4, -36.85, -3/8.
-36.85, -4, -1, -3/8
Sort 0.13, 0, -0.07 in descending order.
0.13, 0, -0.07
Sort 49130, -0.5, -2/5, -2 in descending order.
49130, -2/5, -0.5, -2
Put 0, -47, 130, -4 in increasing order.
-47, -4, 0, 130
Sort 4, 28428, -1.
-1, 4, 28428
Sort 0.6, 119, 3, -4, 2, -4/3.
-4, -4/3, 0.6, 2, 3, 119
Sort 1, 7, -5, -11, -1.
-11, -5, -1, 1, 7
Sort 22, 6, -10 in decreasing order.
22, 6, -10
Sort 2/7, 7, 28651/3 in descending order.
28651/3, 7, 2/7
Put 5, -5, 10, -860 in descending order.
10, 5, -5, -860
Sort 3, 19, 18.5 in increasing order.
3, 18.5, 19
Put -2461, -4, 0, 5 in decreasing order.
5, 0, -4, -2461
Sort -11, 2, 1, -3, -15 in ascending order.
-15, -11, -3, 1, 2
Put -65, 3, 23 in descending order.
23, 3, -65
Put 2726, -22, -1, -2 in descending order.
2726, -1, -2, -22
Sort 199, -0.5, 0, 0.03 in descending order.
199, 0.03, 0, -0.5
Put -2, -0.1, 5, 1, 2/5, 6648 in decreasing order.
6648, 5, 1, 2/5, -0.1, -2
Put 3, 5, 0.4, -0.0348, 4 in decreasing order.
5, 4, 3, 0.4, -0.0348
Sort 1420, 0, 12 in increasing order.
0, 12, 1420
Put 4, -161, -12 in decreasing order.
4, -12, -161
Sort -3, 151, 2, -21.
-21, -3, 2, 151
Sort 0, 82630, -1 in decreasing order.
82630, 0, -1
Put -2, 91, -300, 5 in descending order.
91, 5, -2, -300
Sort 21, 79, 22, 4 in decreasing order.
79, 22, 21, 4
Sort 2/3, -2/9, -2/5, 5, -0.2, 4/7 in descending order.
5, 2/3, 4/7, -0.2, -2/9, -2/5
Sort -5, -1, 5, 16112.
-5, -1, 5, 16112
Sort 19/709, -4, -3/7, 3/5, 5.
-4, -3/7, 19/709, 3/5, 5
Sort 2, -708, -1, 0 in descending order.
2, 0, -1, -708
Put 0.4, -4, 0, -42.5, -5 in increasing order.
-42.5, -5, -4, 0, 0.4
Sort -0.3, -0.2, 2, 72, -0.5, 8/77 in descending order.
72, 2, 8/77, -0.2, -0.3, -0.5
Sort -3, -5, 637, -18, 2/17 in ascending order.
-18, -5, -3, 2/17, 637
Put -0.1, -446, 3, 6, 2, 0 in decreasing order.
6, 3, 2, 0, -0.1, -446
Put -7, 382.2, 5 in descending order.
382.2, 5, -7
Sort -1/8, -1/3, -2/9, -1/5, 1917 in descending order.
1917, -1/8, -1/5, -2/9, -1/3
Sort -3, 18, 1, -440, 4 in ascending order.
-440, -3, 1, 4, 18
Sort -0.1, 769, 12, -6, -1 in increasing order.
-6, -1, -0.1, 12, 769
Sort -1, -972, -23 in descending order.
-1, -23, -972
Sort 0.05, 442, 0.088 in ascending order.
0.05, 0.088, 442
Put 5, 98923, 4, 2 in decreasing order.
98923, 5, 4, 2
Put -2/3, 5, 0.80451 in increasing order.
-2/3, 0.80451, 5
Put -5, 0, -19, 4, -26, 5 in decreasing order.
5, 4, 0, -5, -19, -26
Sort -1/7, -918, -2 in decreasing order.
-1/7, -2, -918
Put -4, 2, 3, 1, 46 in decreasing order.
46, 3, 2, 1, -4
Put 4, -2, -5, -1, -472 in decreasing order.
4, -1, -2, -5, -472
Sort 1, 4, -5, -9, -34, -4.
-34, -9, -5, -4, 1, 4
Sort -40, -5, 5, 246 in decreasing order.
246, 5, -5, -40
Put 3, 109215, 5, 0 in descending order.
109215, 5, 3, 0
Put 4, 50, -2, 0, -1 in increasing order.
-2, -1, 0, 4, 50
Put -89, 5, 16, 0 in increasing order.
-89, 0, 5, 16
Put -5, -0.4, -46 in increasing order.
-46, -5, -0.4
Sort 7, 1, 805 in descending order.
805, 7, 1
Sort -2/47, -7/192, 2/13, -13.
-13, -2/47, -7/192, 2/13
Put -0.5409, -0.5, 0.3 in ascending order.
-0.5409, -0.5, 0.3
Sort -9, -4/3, 5, -2/7, 15, 0.1 in ascending order.
-9, -4/3, -2/7, 0.1, 5, 15
Put -5, -13, -6, 2, 3 in decreasing order.
3, 2, -5, -6, -13
Put 26, 102, -2 in decreasing order.
102, 26, -2
Put -4, -5, -922, -40 in increasing order.
-922, -40, -5, -4
Sort 1.3, 1/6, -0.5, 0.2, 13/12, 5 in decreasing order.
5, 1.3, 13/12, 0.2, 1/6, -0.5
Sort -1, -32, 0, -13, 1, -4 in decreasing order.
1, 0, -1, -4, -13, -32
Put -1, -6, 2, -16, 94, 0 in decreasing order.
94, 2, 0, -1, -6, -16
Sort -2, 197, 7, -12, 1, 0 in ascending order.
-12, -2, 0, 1, 7, 197
Sort -1, 8, 0, 2, 732 in decreasing order.
732, 8, 2, 0, -1
Sort -2/5, 1, -1/3, -2/5229, 3.
-2/5, -1/3, -2/5229, 1, 3
Sort 5, 0.2, 1, -294, -3/4, -18 in decreasing order.
5, 1, 0.2, -3/4, -18, -294
Sort 1, 7035, -67.
-67, 1, 7035
Sort 3/4, -5, -4, 0.00137 in decreasing order.
3/4, 0.00137, -4, -5
Sort -1554, 2, 14.
-1554, 2, 14
Put -6, -15, -23/5, -2 in ascending order.
-15, -6, -23/5, -2
Sort 528, -8, -1, 1 in decreasing order.
528, 1, -1, -8
Put -7, 0.2, 5, 5490/11 in decreasing order.
5490/11, 5, 0.2, -7
Put 5209, -3, 1 in decreasing order.
5209, 1, -3
Put 0.08, -4, -1/16, 4, | {
"pile_set_name": "DM Mathematics"
} |
((-837)/(-6))/(3 + -6) and a.
24
Let m = 1095/49 - 75777/2891. Let q = m - 1775/472. Calculate the common denominator of q and 27/22.
88
Let g = -94611/16 + 5917. Let z be ((-58)/(-4))/((-5)/10). What is the common denominator of g and (5/10)/(7/z)?
112
Let f = -1247/3 + 408. Let d = -1987/93 + 94/31. What is the common denominator of d and f?
3
Calculate the common denominator of (-7)/(-9)*(-168)/48 and 29/74.
666
Let y = -5757/11 - -521. What is the common denominator of -4/9 and y?
99
Let c(p) = 6*p - 1. Let n be c(1). Suppose 8*k - 3*k - n = 5*j, -2*j = 2*k - 18. Suppose -k*a + 5 = -0. Calculate the least common multiple of 6 and a.
6
Let a be (-2 + 2 + -1)/1078. Let h = a - -44207/9702. Let t = 2354/5 + -469. Calculate the common denominator of t and h.
45
Suppose -l - 6 - 10 = 0. Let d = l + 26. What is the least common multiple of d and 18?
90
Suppose -5*o + 28 = -2*b, -3*o - 2*b + 12 + 8 = 0. What is the smallest common multiple of o and 48?
48
Suppose -25 = -5*y + 4*q, -4*y + q + 9 = -0*q. Let p = y + 5. Suppose -4*d + 64 = -0*d. Calculate the lowest common multiple of p and d.
48
Let w = 47 + -42. Suppose -2*g = -3 + 1. What is the least common multiple of w and g?
5
Suppose 196 = 5*t - 3*c, t + 4*c + 111 = 4*t. What is the least common multiple of 8 and t?
328
Suppose 33 = 4*p + 5*m, 2*p - 2*m + 7 = 1. Let z(y) = -y**3 + 3*y**2 + 2*y. Calculate the smallest common multiple of z(-2) and (-80)/(-6) + p/3.
112
Suppose 7*d - 55 = -4*d. What is the lowest common multiple of d and 2?
10
Suppose -4*n - 4*u + 76 = -36, -127 = -4*n - u. Suppose v = 3*g - n, g = 5*v - 2*v + 3. Let d = -15 + 17. What is the lowest common multiple of d and g?
12
Let n = -43/5 - -237/20. Find the common denominator of 87/4 and n.
4
Let m(v) = v**3 + 14*v**2 - 16*v - 12. Suppose 4*j + 8 = 0, w + 3*w + 3*j = -66. What is the least common multiple of 15 and m(w)?
15
Suppose -4*s - 6*y = -y + 19, -4*s - 49 = -y. Let m(f) = f**3 + 12*f**2 + 10*f - 5. What is the smallest common multiple of m(s) and 8?
24
Suppose q - 3*b - 12 = 0, -3*q + 2*b + 11 + 4 = 0. Calculate the least common multiple of q and 8.
24
Suppose -5*c - j = 3*j - 19, -5*c + 3*j + 12 = 0. Let o = 171 - 168. What is the smallest common multiple of c and o?
3
Let k = 36/31 - 366/155. What is the common denominator of k and -53/8?
40
What is the lowest common multiple of 70/21*6/9*27 and 36?
180
Let k = 72 - 56. What is the smallest common multiple of k and 30?
240
Find the common denominator of ((-4)/(-66))/(12/774) and -67/2.
22
What is the common denominator of 1/5 + (9516/40)/13 and ((-11)/3 + 0)*4?
6
Let f be (2 + -1)*1 - 2. Calculate the common denominator of 89/2 and 15/(-14) - (-1 - f).
14
Let l = -6 - -12. Let q be 2/l - (-10124)/(-30480). Let b = -21623/27940 + q. What is the common denominator of b and 59/4?
44
Let b(a) = -a**3 - 7*a**2 - 7*a - 5. Let v(r) = 2*r + 18. What is the lowest common multiple of b(-6) and v(-7)?
4
Let x = -44998 - -6569683/146. Let k = -1384/657 + x. What is the common denominator of k and -11/8?
72
Let j = 2 + -7. Let z = j + 3. Calculate the common denominator of 7/2 and z/(-4) + 190/(-24).
12
Suppose -2*c + c + 1 = 0. Suppose -7 = -3*l - c. What is the common denominator of (-237)/(-48) + 0/l and 55/14?
112
Suppose -5*d = -5*a, -d + 9 = 2*d. Let h = a + 0. Suppose -h*n - 5 + 35 = 0. What is the smallest common multiple of 9 and n?
90
Suppose -10*s = -5*s - 80. Calculate the least common multiple of s and 12.
48
What is the lowest common multiple of (-4)/(-28) + 97/7 and 14?
14
Let p = 3693/10 + -369. Calculate the common denominator of 49/6 and p.
30
Let q = -107281/9840 + 5/1968. Find the common denominator of -7/22 and q.
110
Let o(k) = -k**2 - 24*k + 53. Let y(n) = n + 11. What is the lowest common multiple of y(-8) and o(-26)?
3
Let r = 2087/2 - 1077. Find the common denominator of -127/6 and r.
6
Let b be (-1 + -1)*(-116)/(-8). Let k = b - -47. What is the smallest common multiple of k and 6?
18
Let v(b) = b - 7. Let q be v(4). Calculate the common denominator of 63/2 and (-1 + q/(-4))*-17.
4
Suppose -35 = -5*d - 0. Suppose 2*w = d*w - 190. Find the common denominator of w and 4/14 + (-1398)/(-56).
4
Suppose -40*r + 35*r + 15 = 0. What is the lowest common multiple of r and 6?
6
Let f(h) = h**2 - 7*h + 24. What is the least common multiple of f(6) and 6?
18
Suppose m + 0*m + 6 = 0. What is the common denominator of ((-2)/m)/((-6)/(-639)) and (16 - 2)*(-2)/40?
10
Find the common denominator of 2*-4*(-81)/(-84) and (-12)/14*(-1722)/120.
70
Suppose 5*k - 10 = 40. Let v(p) = p**2 + 6*p - 61. Calculate the smallest common multiple of k and v(-12).
110
Let i be -2 + 1 - -52*7. Let s = 779/2 - i. Find the common denominator of s and 41/10.
10
Let x be 334/3 + (-5)/15. Calculate the common denominator of (10/60)/((-3)/73) and (x/72)/((-9)/(-12)).
18
Let p(c) = -c**2 - 7*c - 6. Let j be p(-4). Let w = j + -4. Suppose -13 = -w*a + 15. What is the least common multiple of a and 4?
28
Let d = 2057/4 - 1514/3. Calculate the common denominator of d and -73/12.
12
Suppose 20 = 2*f - 2*m, -2*f + 4*m = 3*m - 16. Calculate the lowest common multiple of 21 and f.
42
Let a(q) = 4*q. Let d = 9 - 6. Let s be a(d). Let b = 19 - s. What is the smallest common multiple of 9 and b?
63
Suppose -r - g = -5*r + 35, r = 5*g + 23. What is the smallest common multiple of 2 and r?
8
Suppose -2*d + 37 + 1 = -5*l, -d - 7 = 4*l. Calculate the least common multiple of d and 27.
27
Let q = 30 + -18. What is the smallest common multiple of 16 and q?
48
Suppose 5*y + 3*t + 29 = 0, -y + 1 = -2*y + t. Let o(v) = -7*v. What is the smallest common multiple of 10 and o(y)?
140
Let b(l) = -4*l**3 - l**2 - 2*l - 1. Let t be b(-1). Let m be 6/t*2/(-3). What is the common denominator of -26 and m - 9/(2 - -1)?
1
Let m(p) = -p + 0 + 2*p**2 + 3 - 4 + 2. Suppose -2*u - 2 = -10. Calculate the least common multiple of u and m(1).
4
Let m = -29 - -21. Let w(b) = b**2 + 9*b + 12. What is the least common multiple of 3 and w(m)?
12
Let x = 56193/2644 - 2/661. What is the common denominator of x and -47/3?
12
Suppose 0 = 7*g - 3*g. Suppose -p + 55 = 3*v, -3*v - v - 3*p + 70 = g. Suppose v + 13 = 4*f. Calculate the smallest common multiple of 2 and f.
8
Let u(i) = i**3 - 4*i**2 - 4*i + 2. What is the lowest common multiple of 7 and u(5)?
7
What is the lowest common multiple of 4 and 84/30 - (-2)/10 - -9?
12
Suppose -290 = 2*u - 998. Let j = u + -689/2. Find the common denominator of (2/(-5))/(2/8) and j.
10
Let y = 1978 - 11909/6. Find the common denominator of y and (-394)/(-48) - 2/6.
24
Suppose w = -5*x - 5, -20 + 0 = 5*x - 2*w. Let i be (x/(-5))/(2/10). Suppose -i*z + 14 + 10 = 0. What is the smallest common multiple of z and 8?
24
Suppose -35 = -5*m - 5*t, 5*m - 5*t - 18 = 7. Suppose -y = -m - 42. What is the common denominator of (1/5)/(y/2780) and -7/8?
24
Let c = 30 + -22. Suppose -i = 3*i - c. Calculate the lowest common multiple of 3 and i.
6
Suppose -h + 20 = 4*h. Suppose -126 + 25 = -l. Calculate the common denominator of 2/4*l/h and 37/11.
88
Calculate the common denominator of 4/14 - 730/(-1120) and -1/16.
16
Find the common denominator of (-2)/3*((-219)/(-4) + 0) and -8/15.
30
Let w = -367 + 21649/59. Let s = -601/708 + w. Calculate the common denominator of s and 83/(-30) - (-10)/15.
60
Suppose 3*k = 2*o + 11, -2*o + 26 = o + 4*k. What is the smallest common multiple of 9*o*(-3)/(-6) and 6?
18
Suppose 2*n = 7 - 1. Suppose -n*o + 5*g - 14 = 0, -6 = 2*o + o - 3*g. Let i = 6 - -1. Calculate the lowest common multiple of i and o.
14
Calculate the lowest common multiple of 21 and 2 + 3 + (1 - 0).
42
Let c = 11 - -3. Let n(s) = -s**2 + 8*s - 6. Calculate the smallest common multiple of n(6) and c.
42
Let i(o) = o**2 - 10. Let y be i(7). Suppose -5*g - y = w - 121, -22 = -2*g + 5*w. Calculate the common denominator of -55/16 and ((-245)/g)/5 - 2.
16
Let d be (1575/6 - 1)*-2. Let q = -4191/8 - d. Let m = 314/11 + -3513/88. Calculate the common denominator of m and q.
8
Let t be -2 + (-2 - 19*4). Find the common denominator of 2/(-5) + (-222)/t and 7/12.
24
Let q(z) be the first derivative of z**3/3 + 7*z - 2. Let s be q(0). Suppose -s = -k + 1. Calculate the lowest common multiple of 18 and k.
72
Calcula | {
"pile_set_name": "DM Mathematics"
} |
e common denominator of w and 115/28.
112
Suppose -3*c = -6*c + 12. Let d be c/18 + (-100)/45. Find the common denominator of 8/(-44)*31/d and -131/6.
66
Suppose -2*m + 4 + 0 = 0. Let a be (-1)/((-1)/18*m). Let f = a - -1. Calculate the lowest common multiple of f and 3.
30
Let r = 4 + 8. What is the smallest common multiple of 2 and r?
12
Suppose 2*w = 3*y - 20, 0*y - 3*w = -3*y + 18. Find the common denominator of (2 - 1) + 51/y and -119/6.
24
Let v be 1/((-26)/(-14) - 2). Let g = 10 + v. Suppose k - g = 27. What is the common denominator of 7/10 and k?
10
Let c be (-3)/(2 - -1) + 4. Let p(o) = 5597*o. Let f be p(c). Let k = f - 335933/20. Find the common denominator of 91/18 and k.
180
Let r(c) = c**2 - 13*c + 18. Calculate the lowest common multiple of r(13) and 2.
18
Let i = 2087/14 - 149. Calculate the common denominator of 67/92 and i.
644
Let a = 5 - 8. Let d = a + 1. Calculate the smallest common multiple of ((-20)/((-4)/(-2)))/d and 5.
5
Let a = 10/17 + 871/340. Calculate the common denominator of -47/8 and a.
40
Let g = -1469 - -11709/8. Let m = 507143/18 + -28183. Calculate the common denominator of m and g.
72
Let v(b) = b**2 - 6*b + 7. Let z be v(5). What is the common denominator of -77/6 and -36*z/(2 + -4)?
6
Let l = -280 - -519/2. Let d = 221303/38262 - -5/2733. Find the common denominator of l and d.
14
Let o(p) = 3*p + p**2 - p + 2*p. Let k = 22 + -6. Calculate the lowest common multiple of o(-6) and k.
48
What is the smallest common multiple of ((-864)/(-30))/4*10/3 and 12?
24
Let a(l) = -3*l + 14 - 18 + 2*l. Calculate the least common multiple of (0 + 14)/(3 - 1) and a(-10).
42
Let d = -319/24 - 7/8. What is the common denominator of 23/72 and d?
72
Let t = -1939 - -11729/6. Find the common denominator of -40 and t.
6
Let t = -599/114 - -46/19. Let r = -4 - 29. What is the common denominator of r and t?
6
Let b(y) = -3*y - 20. Calculate the least common multiple of 2 and b(-8).
4
Let h(y) = y**2 + 3*y. Let d be (-6 - 0/(-2))/(-2). Let w = 1 + d. What is the smallest common multiple of h(-4) and w?
4
Let c = -7 + 21. Calculate the common denominator of c/(-20)*(15 + 3) and 14/3.
15
What is the common denominator of ((-46)/15 - 0)/((-5)/25) and 107/30?
30
Find the common denominator of (-10)/30 - (-2)/24*-47 and 64/15.
60
Suppose 4*q + 8 = -2*f + 3*f, 3*f = 4*q + 8. Find the common denominator of 276/(-8)*1/(-27) and 166/32*(f - 1).
144
Let n = -75 - -140. Let b = -45 + n. Calculate the smallest common multiple of 6 and b.
60
Let l(u) = 2*u**2 + 2*u - 14. Suppose 2*d - 14 = -4*n + 2, -20 = -5*d - 5*n. Suppose d*a = 2*a - 4. Calculate the least common multiple of l(-4) and a.
10
Let a be 0/(-2)*1/(-3). Suppose 0 = -2*l - a*l + 8. Suppose 0 = b - 10 - l. Calculate the smallest common multiple of b and 12.
84
Suppose -5 = -2*v - 0*v - 3*p, 0 = -2*v + 2*p + 10. What is the smallest common multiple of 25/10*(v + -2) and 1?
5
Let j(b) = 3*b - 9. Let g be (-10)/(-45) + (-210)/(-27). What is the common denominator of j(g) and 2/9?
9
Let k be -1 - 3/6*8. Let t = 10 - 2. Calculate the lowest common multiple of (-4)/(-2) + k/(-1) and t.
56
Let r be -5 - -2 - 9*1. What is the common denominator of (3*-15 + 1)/3 and (-291)/30 - r/(-20)?
30
Let c = 0 + 2. What is the least common multiple of 162/10 - (-1)/(-5) and c?
16
Find the common denominator of 17/42 and (-7)/3*17/2.
42
Suppose -o - 3*r + 11 = 0, 2*r = -r - 3. Let j = -20 + o. Calculate the common denominator of (-9)/j*(-80)/(-33) and 95/6.
66
Suppose 3*z + z = -2*h + 20, 5*h = z + 28. Calculate the least common multiple of h and 8.
24
Let w = -8311491/455 - -18267. Let q = w + -14991/1820. Find the common denominator of -103/6 and q.
12
Let m(w) = w + 1. Suppose -4*h + 7 = -1. Suppose 0 = -4*g + h + 6. Calculate the lowest common multiple of g and m(2).
6
Let y(q) = -17*q + 2. Let g be y(-5). Let r = -1023/40 - -141/5. Calculate the common denominator of (g/(-4))/((-6)/4) and r.
8
Let o be ((-197852)/(-10))/((-108)/(-105)). Let p = o + -19244. What is the common denominator of p and 5/4?
36
Let a be 483/6 - 1/(-2). Calculate the common denominator of (2/(-4))/(12/a) and 113/(-18) + (-29)/(-174).
72
Suppose 4*l + 3*g + 74 - 254 = 0, 5*g - 172 = -4*l. What is the least common multiple of 2 and l?
48
Suppose -2*l + 5*l = 11784. Let y = -23483/6 + l. Calculate the common denominator of y and ((-2)/24)/(1/154).
6
Suppose 4*w = -12 + 20. Let q = 4 - -6. Calculate the smallest common multiple of w and q*(-1 - (-7)/5).
4
Let o = 4 + -5. Let u(y) = -10*y**3 - y**2 + 1. What is the smallest common multiple of u(o) and 7?
70
Suppose -5*p + p = 16. Suppose 6*t - 60 = 5*t. Find the common denominator of p and (-230)/t + 4/(-2).
6
Let l(m) = -m**3 - 10*m**2 + 5*m + 8. Let r be l(-9). Find the common denominator of ((-5)/(-16))/5*r and 103/30.
120
Suppose -2*n + n - 6 = 4*i, 12 = 3*n - 3*i. Calculate the common denominator of 31/12 and 1 - n*142/48.
12
Let d = -1/6010 - -13703/1202. Suppose -5*h = -2*h - 201. Let r = -519/7 + h. What is the common denominator of d and r?
35
Let y = -34 - -76. Calculate the smallest common multiple of 6 and y.
42
What is the common denominator of (-6)/18 - (-6)/153 and 43/6?
102
Let b(f) = -5*f - 4. Let v(h) = -h**2 + 2*h + 6. Let x be v(3). Suppose 2*m = x*m - 6. Calculate the least common multiple of b(-3) and m.
66
What is the smallest common multiple of ((-56)/12)/(2/(-3)) and 18?
126
Let m(r) = r**3 - 15*r**2 + r - 9. What is the least common multiple of 12 and m(15)?
12
Suppose 0 = -4*h + h - 18. What is the common denominator of 101/6 and (-3)/(-18)*423/h?
12
Let i = -1915/2 + 993. What is the common denominator of i and -25/3?
6
Let w = 7 - 11. Find the common denominator of 59/5 and w/(-2) + (-52)/22.
55
Let g = -2 - -5. Let v(k) = k**2 - 2*k + 2. Let z = 9 + -6. Calculate the smallest common multiple of g and v(z).
15
Let r be ((-6)/(-40))/((-6)/785854). Let v = r + 19651. What is the common denominator of v and -97/10?
20
Let r be 10/5 + (-68098)/20. Let t = -3408 - r. Calculate the common denominator of t and 62/126 - (-8)/28.
90
Let y = 77637/11288 - 4/1411. Find the common denominator of 2/(-12)*-1*-92 and y.
24
Let v(c) = c**2. Let u(s) = s**3 + 5*s**2 + s - 3. Calculate the least common multiple of u(-4) and v(1).
9
Suppose 2*s - 8 = 4*b, 0 = -3*b + 2*s + 2*s - 6. Let n be 19923/29871 + b/3. Let u = n - 69710/36509. What is the common denominator of u and -14/5?
55
Suppose 18 = -2*s + 5*s. Let b(m) = 0*m - 1 - 3*m + 4*m. Calculate the lowest common multiple of b(s) and 4.
20
Find the common denominator of 174/44*2/6 and (-2)/8 + 4/(528/(-273)).
22
Let q(b) = b + 1. Let c(k) = -6*k - 3. Let u(t) = -2*c(t) - 10*q(t). What is the least common multiple of u(7) and 1?
10
Suppose -4*a + 28 = 2*i, i + 4 = -0*a + 4*a. What is the smallest common multiple of i and 10?
40
Suppose 0 = 3*s - 4*h - 1859, 3*s - 1236 = s + 2*h. Suppose -1615 = -5*w + 5*t, -3*w - 3*t + 374 = -s. Find the common denominator of 40/9 and (-2)/8 + w/88.
99
Let s = 1/3544 - -22147/10632. What is the common denominator of 51/2 and s?
12
Suppose 10*b - 3*b = 98. Let n = 11 + -6. Suppose 2*j + n*d = 12, -3*j - d + 18 = 3*d. Calculate the least common multiple of j and b.
42
Calculate the common denominator of 36/7 and 2 + 1 - (-1065)/30.
14
Let u = 440/61 - 4/305. Let s = u - 501/80. Calculate the common denominator of 55/16 and s.
16
Let l = -24 - -40. Let o = l + -6. Calculate the smallest common multiple of 16 and o.
80
Let r(x) = -5*x**3 - 2*x**3 + 3*x**3. Calculate the least common multiple of 16 and r(-1).
16
Let u = -4/143 - -7651/2574. Find the common denominator of -37/30 and u.
90
Suppose -4*f = 3*z - 10, 0 = 6*z - 4*z + 4*f - 4. Find the common denominator of -29/4 and ((-5)/(-15))/(z/(-10)).
36
Suppose 6*j - 6 = -0. What is the least common multiple of j and 7?
7
Let l(i) = -7*i + 63 - 61 - 5*i**2 + 4*i**2 + 2*i. What is the smallest common multiple of l(-5) and 2?
2
Let y = 6867 - 96213/14. Find the common denominator of 51/22 and y.
154
Let j = -191 + 205. What is the smallest common multiple of 64 and j?
448
What is the smallest common multiple of 26 and 8/4*(-7 + 3)/(-2)?
52
Let t be (1/3)/(3/27). What is the common denominator of 1 + 31*t/42 and (-178)/(-120) + (-4)/ | {
"pile_set_name": "DM Mathematics"
} |
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