*p**2. Let t = -2 - -4. Determine h(t).
8
Let i(v) be the first derivative of 3*v**2/2 + v + 5. Calculate i(4).
13
Let c(r) = r - 1. Let n be c(4). Let q(h) = h**2 - 2*h + 2. Let g be q(3). Let w(u) = 1 + 2 + u**n + g*u**2 + 4*u - u. Give w(-4).
7
Let h(r) = r - 4. Let w(t) be the second derivative of -t**2/2 + t. Let v(u) = -3*h(u) + 6*w(u). Suppose 6 = a - 0. Give v(a).
-12
Let x(s) = -5*s - 13908*s**2 + 13916*s**2 + 4*s. Calculate x(1).
7
Let q(w) = -w**2 + w. Let x(c) = -c**3 - 12*c**2 + 9*c - 1. Let s(f) = -6*q(f) + x(f). Determine s(-6).
-19
Suppose -4 = -2*i, 2*k - 5*i = -10 - 34. Let p = k - -22. Let y(m) = -3 - m**2 + 9*m + 2*m - 7*m - p*m. Give y(-4).
-15
Suppose 4 = 2*k - 6*x + 3*x, -3*k + 6 = -x. Suppose 22 = z + 5*t, z + 1 = k*t - 5. Let l(b) = -z*b + 7*b**2 - b**3 + 2 + 2 + 3 + 0*b**2. Give l(7).
-7
Suppose 39*h - 415 = -44*h. Let k(r) = 3*r - 6. What is k(h)?
9
Let j = 282 - 277. Suppose -z + 18 = -4*f, -3*z - f + 0*f + 2 = 0. Let h(n) = -2*n + 0 + 5*n**2 - 4*n**z - 6. What is h(j)?
9
Let j(o) = o**3 + 4*o**2 - o + 1. Suppose 0 = 2*g + 4*l + 6, 4*g - g - 4*l = 1. Let k be -8*(g + 2)*(-1)/(-2). What is j(k)?
5
Let s(q) = -4 + 4 + 2*q. Let x(j) = 4*j + 116. Let c be x(-30). Calculate s(c).
-8
Let p(y) be the first derivative of y**4/4 + 4*y**3/3 - 3*y**2/2 - 12. Let v = -9 + 5. Calculate p(v).
12
Let r be -1 - ((3 - 0) + -4). Let g = r - -2. Let s(k) = 2*k + g + 6*k - 4*k + 2*k**2 - k**2. Calculate s(-3).
-1
Suppose -3*i - o - 22 - 7 = 0, 0 = -o + 1. Let s(f) = 10 - 2*f + 2*f + f. Give s(i).
0
Let b be 45/15 - 0/(-9). Suppose 8 = -0*h + 2*h. Let g(k) = -3 - 2 - 2*k + h + k**2. What is g(b)?
2
Suppose 15 = 4*c + r, 0 = 5*c + 3*r - 6 - 18. Let d be 3 + c + -8 + 4. Let f(g) = -7 + d*g - 3*g**2 + 2*g**2 + 9*g - 4*g. Determine f(5).
3
Let v(p) = -p**2 - p. Let r(z) = -z**3 + 2*z**2 + 3*z + 1. Let x(o) = -r(o) - 3*v(o). Calculate x(1).
1
Let s(o) be the second derivative of -o**3/2 + 4*o**2 - 31*o. Let d be (-2 + 3 - 4) + 9. Calculate s(d).
-10
Let a(r) = -3 - 8*r**2 - 21*r**3 - 3*r + 20*r**3 + r + 2*r. Give a(-7).
-52
Let k(h) be the first derivative of -1/4*h**4 - h**2 + 17 + 4*h + 4/3*h**3. Determine k(4).
-4
Suppose 7*h - 10*h + 12 = 0. Let z(o) = -4 + 10*o - h*o - o**2 + 5*o - 8. What is z(9)?
6
Suppose 24*g - 22*g = 8. Let r(f) = 2*f - 1. Let t(p) = 2*p. Let o(b) = g*r(b) - 3*t(b). Calculate o(-4).
-12
Suppose 2*d = -2*d + 84. Let g be d/36*4 + 2/(-6). Let k(x) = x**3 + x**2. Let z(j) = -3*j**3 - j**2 - 2*j. Let h(a) = -2*k(a) - z(a). Determine h(g).
8
Let b(n) = -n - 5. Let p be b(-5). Let c(k) = k - 17. Give c(p).
-17
Let j(s) = -5*s - 1. Suppose -3*i + 22 = -3*c + 2*i, 0 = -c + 3*i - 14. Let p = c + -2. Determine j(p).
4
Let b(t) = -t**2 + 3*t + 5. Suppose 20 - 2 = -4*o - 2*h, -o + 4*h = 27. Let d be (o/2)/(-7)*22. Suppose 0 = -4*l + 4*p + 12, -3 - d = -4*l + 3*p. Give b(l).
-5
Let b(v) be the first derivative of v**2 - 16*v + 169. What is b(4)?
-8
Let x(j) = -j**3 + 7*j**2 - 6*j + 7. Let k = 9 + -9. Suppose 3*a + 5*w - 29 = -1, k = -2*a - 4*w + 20. What is x(a)?
7
Let m(p) = -3*p + 113. Let l be m(38). Let s(d) = -44*d**2 + 4*d + 4. Let b(o) = -29*o**2 + 3*o + 3. Let u(v) = 7*b(v) - 5*s(v). Calculate u(l).
17
Let n(t) = 5*t + 3. Let g be ((-2)/(-4))/((-2)/(-40)). Let w = g + -7. Let f be (w/1)/((-9)/6). Determine n(f).
-7
Suppose -3*f - 2*m = -29, 2*f - 5*m + 0 + 6 = 0. Let y(n) = n**3 + 19 - 8 - 3*n**2 - f. Let a(o) = -o**2 + 5*o + 3. Let w be a(5). Calculate y(w).
4
Suppose -41 + 33 = 2*j. Let l be 3*j/10 + (-96)/(-480). Let q(u) be the third derivative of u**5/10 - u**4/24 + u**2. Give q(l).
7
Let u(x) = x - 7. Suppose 16 - 5 = s - 4*i, -4*s - i = -27. What is u(s)?
0
Let c(s) = 7*s**2 + 10*s + 4. Let l(f) = -5*f**2 - 9*f - 4. Let k(m) = -3*c(m) - 4*l(m). Give k(6).
4
Suppose 167 + 428 = -17*m. Let n = 48 + m. Let h(v) = v - 3. What is h(n)?
10
Let g(k) = -4*k**3 + 3*k**3 + k**2 - 13 + k + 0*k. Let m(w) = -7*w + 35. Let p be m(5). What is g(p)?
-13
Let g(m) = -21 + 9*m - 39 + 11. What is g(5)?
-4
Suppose 0 = -3*w + 2*w + 5*q - 9, w + 6 = 4*q. Suppose -8 = -w*f + 2*f, -8 = -2*n - f. Suppose -4*d = -t - 18, -3*t + n + 3 = 3*d. Let g(a) = a + 1. Give g(t).
-1
Let y(c) be the second derivative of 2*c**2 + 0 + 6*c + 5/6*c**3 + 1/20*c**5 - 5/12*c**4. Determine y(4).
8
Let b(u) be the first derivative of -u**2/2 - 6*u + 11. Let w(a) = a**2 + 9*a + 3. Let k be w(-8). What is b(k)?
-1
Let q be 2 + -3 + (-1 + -5 - -10). Let o(r) = 3 - q*r + 102*r**2 - 101*r**2 + 8*r. Calculate o(-6).
9
Suppose 5*x + 4*o = 51, 7*x - 6*x - o = 12. Let f(k) = -k + 20. Give f(x).
9
Let c(r) be the second derivative of -r**2/2 + 5*r. Let m(t) = t - 8. Let x(p) = -2*c(p) + m(p). What is x(5)?
-1
Let y(r) be the first derivative of 9 - 1/2*r**2 - 4*r. Determine y(0).
-4
Let y(t) = t**2 + t + 1. Let u be y(-2). Let i(s) = 3 - 4*s - 3 + u - 1. Suppose 3*b - 2*b - 2 = 0. Calculate i(b).
-6
Suppose 4*y - d = 17, 3*y - 14 = 19*d - 18*d. Let m(n) = 4*n - 7. Calculate m(y).
5
Let b(n) = 19*n**2 + 7*n**2 + 1 + n - 67*n**2 + 21*n**2. Calculate b(-1).
-20
Let l(w) = 0 + 13 + w + w**3 + 7*w - 3*w**2 - 8*w**2. Determine l(10).
-7
Let v be (1/(-2))/((-2)/(-32)). Let t = v - -5. Let x(k) = 3 + 18253*k + 2*k**2 + 1 - 9127*k - 9121*k. Determine x(t).
7
Suppose 3*s - 2*s = 0. Suppose -2*t = -3*a - 6, s = 2*t - 6*t + 4*a + 8. Let w(q) = 2 + q + t*q + 4 - 8*q**2 - 5. Give w(-1).
-8
Suppose 2*d = 6*d - 16. Suppose -15 = l + d*l. Let o(m) = -5*m**2 - 2*m + 1. Let r(k) = k**2 - 1. Let w(g) = o(g) + 4*r(g). Calculate w(l).
-6
Suppose -b - 32 = -2*w - 5, -5*w - 3*b = -95. Let d(s) = -s**2 + 16*s + 3. What is d(w)?
3
Let z(b) = -b**3 - 5*b**2 + 3*b + 18. Let x(w) = -w**3 - 3*w**2 + 2*w + 17. Let t(l) = -5*x(l) + 4*z(l). Let y be t(5). Let g(a) = 2*a**2 + 1. Determine g(y).
19
Let u(c) = -2*c**2 - 4*c - 3. Let f(k) = -k**3 + 3*k**2 + 6*k + 18. Let q be f(5). Give u(q).
-3
Suppose 2*d - 7 = -1. Let i be (210/(-40))/(d/(-8)). Let w(s) = 2*s**3 + 6*s - 3*s**3 - i*s + 8*s**2. Give w(7).
-7
Let k(f) = -3*f - 35. Let r be k(-11). Let z(b) = -5*b**3 + b**2 - 1. What is z(r)?
43
Let j(l) be the third derivative of -l**5/30 + 7*l**4/24 + 2*l**3 - 4*l**2 + 86*l. What is j(6)?
-18
Let d(w) = 13 - 3 + w + 11 - 2*w - 3. What is d(0)?
18
Let h(u) = 6*u**2 + 26*u + 50. Let q be h(-2). Let l(c) = c**3 - 22*c**2 - c + 30. Give l(q).
8
Let f = -74 + 82. Suppose f*q + 45 = 3*q. Let s(g) = g**2 + 9*g + 4. Calculate s(q).
4
Let i(t) = -t + 4. Let s(m) = -1 + 3*m**2 - 7*m + 0*m**2 - 2*m**2. Let k be s(10). Let p = k + -29. Calculate i(p).
4
Let x(z) be the first derivative of 5*z**2/2 + z - 2687. Let w(c) = -c**3 + c**2 + c - 1. Let h be w(0). Calculate x(h).
-4
Suppose -4*f + 20 = -2*t, -2 = -26*f + 24*f. Let s(p) = 2*p - 4. Calculate s(t).
-20
Let n(o) be the first derivative of -o**2/2 + 4*o + 1. Let p = 2108 - 2098. Give n(p).
-6
Let q(b) = -12 - 28*b**3 + 29*b**3 + 5*b + 8*b + 15*b**2 - 29*b. Determine q(-16).
-12
Suppose 2*j - 18 = -j. Let h(g) = 1 + 6*g - j*g + g. Suppose -5*o + 5 + 5 = 0. Give h(o).
3
Let r be 2 + (11 - 22) + 7. Let h(p) = -11*p**2 - 2*p - 1. Give h(r).
-41
Let a = -337 - -336. Let u(v) be the third derivative of v**5/60 + v**4/24 - 6*v**2. Give u(a).
0
Let a(n) = 1 + 2*n + 3*n + n**2 + 5. Let b(m) = -m**3 + 22*m**2 + 48*m + 5. Let c be b(24). Suppose 0 = -c*t + t - 16. Calculate a(t).
2
Suppose j + 2*z - 20 = -2*j, 3*z = -j + 16. Let l(s) = 5*s - 4*s - 5 - s + 2*s. Give l(j).
3
Let s(i) = -i**3 - 2*i**2 + 4*i. Let f = 30 + -78. Let h = f - -45. What is s(h)?
-3
Let n(u) = 7*u - 2*u - u. Let c be (-175)/(-25) - (0 - -8). Determine n(c).
-4
Let q(b) = b**3 - b**2 - b + 1. Let y(m) = -m**2 - 12*m - 13. Suppose 0 = 2*w - 3*k + 29, k - 26 = w - 9. Let u be 1/(2/w) + 0. Let c be y(u). Calculate q(c).
-9
Let f(d) = -d. Let x be 5 + (-7)/((-28)/(-12)). Let s = 14 - x. Let k be 3*2 + (10 - s). Calculate f(k).
-4
Let t(o) = o**3 - 9*o**2 - 8*o - 3. Let n(l) = -3*l**3 + 29*l**2 + 24*l + 10. Let d(a) = -2*n(a) - 7*t(a). Give d(6).
13
Let v(a) = -a**3 + 7*a**2 + 2*a - 8. Let u(r) be the second derivative of r**5/20 - r**4/12 + r**3/3 - r**2/2 + 7*r. Let z be u(2). Determine v(z).
6
Let j(t) be the third derivative of t**4/12 - 7*t**3/6 - t**2. Suppose 5*k + 2*r - 25 = 0, -21*r + 31 = 3*


 - 35 - 37 - 42, m - 24*q - 24 = 0 for m.
24
Solve 4*j = 4*u - 4, -u = -4*j - 3*u - u + 24 for j.
3
Solve 9*w - 547 = 7*m + 80, 2*m + 149 - 19 = -2*w - 40 for w.
2
Solve -5*b + 1007 = 22*g, -2*g + 8*b + 74 + 26 = 0 for g.
46
Solve 5*p - 3*t - 24 = 0, -69*t = -p - 4*p - 61*t + 39 for p.
3
Solve 10 + 112 = -2*p - 12*z + 12*z - 32*z, p + 5*p = 3*z - 69 for p.
-13
Solve -65*y - 99*y - 650 + 170 = 3*b, 3*b + 2*y - 6 = 0 for b.
4
Solve -4*j = 3*b + 26, 54 = -160001*j + 159989*j - 5*b for j.
-2
Solve 3*k - 6014 = -6044, 12*v = 7*k + 34 for v.
-3
Solve 21*c + 462 = -14*g + 3*g - 7*g, -g = 16*c - 13*c + 11 + 22 for g.
-21
Solve -11*s + 33 = v, -7220*v = 3*s - 7223*v - 45 for s.
4
Solve 4*v = 3*f + 7, 7145*f + 36 = -v + 7161*f + 114 for v.
-2
Solve -3*g + 140 = 2*g + 75*k - 77*k, 5*g - 4*k - 130 = 0 for g.
30
Solve 3*b - b - b = 12*v - 12*v, -4*v + 3*b - 16 = 2*b for v.
-4
Solve 53 = -4*p - 5*b, -1240*p + 105 = -1262*p - 9*b - 20 for p.
-2
Solve -4*b + 2*g - 176 = 0, 30297 = 4*b + 3*g + 30473 for b.
-44
Solve 203 = 20*m - 6*i + 433, 5*i = -5*m - 25 for m.
-10
Solve 7*x + 3555*p - 53 = 3551*p, 0 = -6*x + 5*p - 22 for x.
3
Solve 0 = -8577*z + 8521*z - 2*s + 456, -3*s - 4 = -2*z for z.
8
Solve 2*b + 2 = 0, 220753*y - 220752*y = -b - 9 for y.
-8
Solve 7*l = 2*i + 63, 7135 = -5*i + 5*l + 6915 for i.
-49
Solve -4*x + 2 = -c - 5*x, 23*x = -c + 4*c - 4*c + 20 for c.
-3
Solve -7*p = -5*m - 2*p - 25, 4546*p - 8 = -2*m + 4542*p for m.
-2
Solve 163 = 6*h - 2929*g + 2940*g, -h - g = -23 for h.
18
Solve -8*n - 20 = 5*x, -3*n + 4*x - 534 = -597 for n.
5
Solve -12*r - 12 = 0, 0 = 2*o + 6370*r - 6366*r + 54 for o.
-25
Solve -20 = -3*u + 4*u + 7*k - 8*k, -5*u + 10*k - 205 = 0 for u.
1
Solve 38*h + 11301 = -3*w + 35*h + 11313, -5*w - 22 = -h for w.
-3
Solve 123*v - 6 = 118*v - l, 73*v = -54*v + 2*l - 4*l + 12 for v.
0
Solve -n + 42 = t, -134 = -t + 3*n - 252 for t.
2
Solve -5*r + 10 + 16 = 31, -44*q - 5*r + 45 = 138 for q.
-2
Solve -2*x + 120 = 533243*r - 533241*r, 0 = 4*r - 2*r + x - 57 for r.
-3
Solve 0 = -b - 3*b - 2*j + 2, -3*j + 113 = 5*b - 0*b + 111 for b.
1
Solve -107 = 4*s + 5*z, -3*s - 2 = -0*z + 23*z + 136 for s.
-23
Solve 8728*s - 8729*s - 22 = -3*v, -18*v = -3*s - 14*v - 71 for s.
-25
Solve -2*v - 214 = -3*f, 18692 = v + 2*f + 18540 for v.
4
Solve 2*a + 5*x = -160, a - 5*x = 2*a + 160 for a.
0
Solve -5*j - 198*x + 202*x = 637 - 680, 24*x = j - 55 for j.
7
Solve -56*k + n = 503, -57*k - n - 10 = -28*k - 28*k for k.
-9
Solve -6*k = 5*o - k - 50, -9 + 49 = 4*o + 2*k for o.
10
Solve 13*q + 260 = 5*h, 92*q - 49*q - 220 = h + 54*q for h.
0
Solve 2*a + 32 = 5*n, 21*a = 4*n + 454 - 499 for a.
-1
Solve -2 = g, 3957*k - 3953*k = -3*g - 110 for k.
-26
Solve 1197*a - 5*m = 1205*a - 213, a - 3*m + 151 = 0 for a.
-4
Solve -3*p - 36 = -57, -3*o - 7*p = -0*p - 46 for o.
-1
Solve -5*i + 2*o + 12 - 17 = -5, -8*o - 3*o = 2*i - 2*o - 49 for i.
2
Solve 8*y - q + 68 - 111 - 21 = 21*y, -2*y = q + 31 for y.
-3
Solve 164 = 5*d + f + 151, -7*f = -d - f + 15 for d.
3
Solve -7*s + 723*r - 15 = -715*r + 1435*r, 2*s - 6 = 6*r for s.
-3
Solve 0 = -5*x + 162*l - 165*l + 101, -l + 21 = x for x.
19
Solve 3437*a - 2*u = 3433*a + 26, 0 = 2*a - 5*u - 33 for a.
4
Solve l + 23*f - 13*f - 14*f - 34 = 0, 34 = -26*l + 3*f + 110 for l.
2
Solve -8*n - 2 = 10*q - 4*q - 2 + 2, -43 = -3*n + 4*q for n.
5
Solve 3*m = 24, -350*m + 179*m - 102 = -116*b + 142*b - 175*m - 18 for b.
-2
Solve 0 = -179*p - 200*p + 375*p + 4*s - 44, 3*p = 2*p + 3*s - 29 for p.
-2
Solve f = r + 15, -2*f + 842193 - 842228 = 3*r for f.
2
Solve 18 + 44 = -2*v, p + 42 + 15 = -4*v - 65 for p.
2
Solve 736*j - 732*j - 83*n + 86*n = 53, n + 57 = 4*j for j.
14
Solve 3*h + 17*h + 1103 = -5*a + 1168, 6*a + 4*h = -2 for a.
-3
Solve 0 = 202*q + 1251 + 1173, 0*q - 9 = -3*p + q + q for p.
-5
Solve -10*k + 2*s + 3 = 6*k + s - 15, -28 = -2*s for k.
2
Solve 0 = 13*j - 30*j + 8*j + 3*c - 30, 5*j = 3*c - 14 for j.
-4
Solve -2*h + 6*h + 1333 = -4*c + 1253, 0 = -5*c - h - 28 for c.
-2
Solve -4*h + 137*j - 45 = 136*j, 64*j + 13*j = 5*h + 132 for h.
-11
Solve -5*z - 119*h + 33 = 120*h - 242*h, 2*h = -4*z for z.
3
Solve -156*m + 45*m + 893 = -5*j, 0 = 4*j + m - 4 for j.
-1
Solve 2*s + 100 = -5*w + 139, -4*w = -0*s - 2*s + 84 for w.
-5
Solve -4*x = -5*z + 68, -6*z + 95*x - 96*x = 17 for z.
0
Solve -v - 6*l + 2*l - 168 = 0, 30*l + 871 = -6*v - 395 for v.
4
Solve -2*f + 5*q = -0*f - 101, 16*q = 2*f + 23*q - 161 for f.
63
Solve 0 = -2*g - 37 + 1, -295*m + 586*m = 294*m + g + 10 + 8 for m.
0
Solve 5*x + 42 = 489124*n - 489127*n, x = -n - 8 for x.
-9
Solve -22*g + 9*x = -26*g - 74, g - x = 3*g + 16 for g.
-5
Solve -2*c - c + r - 10 = 0, -5*c - 70 = 38*r - 53*r for c.
-2
Solve -v + 11 = 9*c, 65785*v - 65784*v - 35 = 3*c for v.
29
Solve 5*p - 10*p - 33*m - 60 = -8*p, 5*m + 8 = p for p.
-2
Solve -28*y - 131 = -5*x, -18168*y - 18160*y + 36331*y = 2*x - 36 for y.
-2
Solve -5*o - 5*b = -20, 20*o + 2*b = -138 + 74 for o.
-4
Solve 9*b + 4*w - 214 = -596, -12*w + 125 = -3*b - 11*w for b.
-42
Solve 5*g + 2*k - 193213 = -192967, 0 = 4*g - k - 189 for g.
48
Solve 5*g - 12*p - 41 = -8*p + 35, 3*p = 2*g - 36 for g.
12
Solve 1656*x + 1665*x = 3318*x + 11*k + 47, -5*x + 0*k + 4*k + 21 = 0 for x.
1
Solve -o - 49 = -3*x, -9053*x + 25 = -9052*x + 4*o for x.
17
Solve -3*x = z + 5, -155*z - 386*z = x + 1083 for z.
-2
Solve -3*o + 4*w = -2*o + 11602 - 11593, -o + w - 18 = 0 for o.
-21
Solve 5*j - 21 = -w, 105*j + 4*w - 40 = 96*j for j.
4
Solve 5*x - 2*g + 3470 = 3529, 0 = 6*x + 3*g + 75 for x.
1
Solve x + 4*a = 5, -312*x + a = -309*x - 41 for x.
13
Solve 15*k + 2*r = 4*r - 45, 3*k - 105 = -4*r + 96 - 210 for k.
-3
Solve a + 3*v = -10, 13*a - 27*v + 30 = -25*v - 18 for a.
-4
Solve 18945*v + 8 = -3*z + 18949*v, -2*v = z + 6 for z.
-4
Solve 4*b + 5*a - 10862 = -10929, 67*a = 4*b - 725 for b.
-3
Solve 282446*t + 2*u = 282496*t + 448, -4*u - 13 = t for t.
-9
Solve -6*m = -5*u - 26 + 4, 3*u - 6*u - 5*m = -4 for u.
-2
Solve 0 = -317*x + 318*x + 2*q - 9, 5*q - 15 = -x for x.
5
Solve 68 = -2*m - 16*z - 8*z, 2*z + 920 = m + 940 for m.
-22
Solve 4*c = -3*u - 65, 32*c + 2*u = 28*c - 6 - 56 for c.
-14
Solve 0 = -12*z - 8*r + 5*r - 315, r + 141 = -5*z + 10 for z.
-26
Solve y = -3485*g + 3487*g - 77 + 205, -2*y - 2*g = 128 for y.
0
Solve 5*a + 49 = 3*u - 3*u + 7*u + 86, 0 = -4*a - u + 23 for a.
6
Solve -17 = -2*t - f, 29*t + 3*f + 35 = 31*t - 2*f for t.
10
Solve -1384*f - 160 = -1388*f - 4*q, -f + 4*q = 155 for f.
1
Solve 10*k - 5*k = 10, -3*z + 2*k - 45 = 64 for z.
-35
Solve -37 = -13*b + 4*v, -4*b - 26 = 15*v - 26*v + 16*v for b.
1
Solve 13*y - 18*y = 15, -7*r + 51 = 7*r - 11*r + 3*y for r.
20
Solve 50654*x = 50653*x - t + 15, -x - t + 3 = -6*t for x.
13
Solve 99 = -5*z + 7*r, -20*r + 84 = 4*z - 37*r + 21*r for z.
4
Solve -71 = 5*w + 2*t, 5*w - 161647*t + 161659*t = -101 for w.
-13
Solve 3*k - 69 = -4*v, 5*v + 300*k - 66 = 598*k - 301*k for v.
-3
Solve 5*c + 13 = 1899*u - 1895*u, 3*u + 4*c - 2 = 0 for u.
2
Solve -2*i - 2*x + 7*x - 128 = i, -7*i - 61*x - 264 = -64*x for i.
-36
Solve -5*m = 41*h + 210, 0 = 3*h + m - 1876 + 1892 for h.
-5
Solve 17*n + 2*g = -g + 699, -121*g = -3*n - 119*g + 136 for n.
42
Solve 2*h + 4384*x = 4373*x + 166, 3*h - 2*h = -x + 11 for h.
-5
Solve -67*z - 8*t = -96*z - 11*t + 119, 3*t + 49 = 13*z for z.
4
Solve -4*h = 102*t - 91*t - 57, -5*t + 33 = 3*h for h.
6
Solve 2*v - 2*n = 0, 18158*v = 18170*v + n + 39 for v.
-3
Solve -3*l + 4*v + 23 = 0, 4*l - 1388 + 1366 = v for l.
5
Solve 6*q + 14*a = -38, -4*q = -34*a + 38*a + 20 for q.
-4
Solve -4*r - 223*z + 109*z + 0 = -111*z + 15, 2*r + 14*z + 3 = 13*z for r.
3
Solve 3*z + 28 - 6 = -0*r + r - 11, 8*z = -3*r - 54 for z.
-9
Solve -32*t = -30*t - 5*o - 113, 19*t + 3*o + 83 = 24*t for t.
4
Solve -w - 37*x - 132 + 316 = 0, 3 = 2*w + x for w.
-1
Solve 3*r + 87 = -2*r - 3*x, 8*r = -3*x - 0*x - 137 - 4 for r.
-18
Solve -3*x + 1935*i = 1936*i - 7, 4*x = i - 7 for x.
0
Solve 4*x = -4*f - 152, 8*f + 7118*x = 7114*x - 296 for f.
-36
Solve 5*b - 4*k - 430 + 216 = 0, 0 = 5*b + 2*k - 208 for b.
42
Solve 3*q + 10*h + 21 = 7*h, -48*q + 43*q + 0*h - 21 = -2*h for q.
-5
Solve -2*n = 8181*t - 8183*t + 36, -25 = 8*t - 3*n - 189 for t.
22
Solve 4*t + 54 = -4*h - 14*h, -295*h + 291*h = -5*t + 65 for t.
9
Solve -5*j + 54 = 2*d, -27*j - 575 = -3*d


derivative of -y**2 - 25*y + y**2 - y**4 - 1214*y**3 + 797*y + 1106*y + y**5 wrt y?
20*y**3 - 12*y**2 - 7284*y
What is the third derivative of -32*g + 14*g**2 - 131*g**4 + 12*g**3 - 348*g**4 - 12*g**3 wrt g?
-11496*g
Let i(w) = w**3 + 13*w**2 - 34*w - 1. Let q be i(-15). Find the third derivative of 53*u**2 + 163*u**3 - 47*u**3 - q*u**3 - 30*u**3 wrt u.
162
Let n(f) be the third derivative of 1 + 99/20*f**5 - 86*f**2 - 12*f**3 + 0*f + 0*f**4. What is the first derivative of n(y) wrt y?
594*y
What is the second derivative of 434 - 1793*a**2 - 152 + 295 + 244*a**2 - a + 226*a**2 wrt a?
-2646
Suppose 3*i = 2*o - 7, 21*i - 17*i - 4 = o. What is the third derivative of 3*m**2 - 3 + 158*m**3 - m**2 - 12 - o + 1 wrt m?
948
Let l(v) be the third derivative of 0*v + 0*v**4 - 18*v**2 + 23/20*v**5 + 0 - 15*v**3. What is the derivative of l(h) wrt h?
138*h
Let i(m) be the first derivative of 23*m**6/120 - 37*m**3/6 - 73*m**2/2 - 5. Let l(h) be the second derivative of i(h). Differentiate l(a) wrt a.
69*a**2
Let c(m) = -19*m**4 + 81*m**3 + 2564*m**2. Let d(z) = -28*z**4 + 122*z**3 + 3848*z**2. Let u(s) = 7*c(s) - 5*d(s). Find the third derivative of u(i) wrt i.
168*i - 258
Suppose 46 + 80 = -r. Let s = 170 + r. Find the third derivative of -23*x**6 + 2*x**2 + 44 - s + 23*x**2 wrt x.
-2760*x**3
Let l(z) = -1399*z**2 + 31*z - 35. Let c(i) = -1405*i**2 + 32*i - 43. Let s(b) = 5*c(b) - 6*l(b). What is the second derivative of s(f) wrt f?
2738
Suppose 11*l = 12*l - 1. Let w be 1*72/27 + l/3. What is the third derivative of 24*q**3 - 3*q**3 + 6*q**w + 28*q**2 wrt q?
162
Let a(j) be the first derivative of -17 - 6*j**2 + 0*j - 1/4*j**4 + 7/3*j**3. Let i(y) be the second derivative of a(y). Differentiate i(w) wrt w.
-6
Let q(h) be the third derivative of -h**9/72 + h**8/336 + 38*h**7/105 + h**5/30 + 75*h**4/4 + h**3/6 + 7296*h**2. What is the third derivative of q(j) wrt j?
-840*j**3 + 60*j**2 + 1824*j
Suppose -3*s = -4*k + 44, 2*k - 5*s - 50 = -3*k. What is the second derivative of -245*n**3 + 3*n - k - 39*n**4 + 120*n**3 + 125*n**3 - 5*n wrt n?
-468*n**2
Let d(k) be the second derivative of 4*k**5/5 - k**4/12 - 35*k**3/3 - 4726*k**2 + 6843*k. Differentiate d(z) with respect to z.
48*z**2 - 2*z - 70
Let y(k) be the third derivative of 221*k**5/60 - 295*k**4/8 + 216*k**2. Find the second derivative of y(s) wrt s.
442
Find the second derivative of -2299*m**2 + 89 + 749*m**2 + 2*m - 3212*m**2 - 7*m wrt m.
-9524
Suppose -8*f + 7*f + 22 = 0. Let j be 0 + 7/((-14)/(-36)). Differentiate -f*p + 13 - j - 24 - p wrt p.
-23
Let w(l) = 4*l**2 + 12*l + 4. Let g be w(-3). What is the second derivative of -75 - r + 25*r**4 - 30*r**g - 115*r**5 + 5*r**4 wrt r?
-2300*r**3
Suppose 22 = 4*n + 10. Suppose i + 2*h - 3 = 7, -3*i + 3*h + n = 0. What is the second derivative of 19*w + 642 + 7*w**i - 642 wrt w?
84*w**2
Let i = 166 - 164. Differentiate -43 + 9*p**2 - 6*p**i - 16*p + 10*p wrt p.
6*p - 6
What is the derivative of 109 - 1726*j + 1123*j - 65 + 85 - 2791*j wrt j?
-3394
Let n(z) = -z**3 - 4*z**2 - 3*z - 6. Let m be n(-4). Let b be m + -1 + (-8)/2. Differentiate -4 - 10*t**2 - 8 - b wrt t.
-20*t
Let a(f) be the third derivative of 1481*f**7/105 + 1154*f**3/3 + 214*f**2 - 27*f. Find the first derivative of a(y) wrt y.
11848*y**3
Let d(p) be the first derivative of 130*p**3/3 - 567*p + 1668. Find the first derivative of d(h) wrt h.
260*h
Let m(z) be the second derivative of 749*z**6/30 + 1354*z**2 - 737*z + 2. Differentiate m(b) with respect to b.
2996*b**3
Suppose 3*b - 10 = -b - s, -5*b - 5*s + 20 = 0. Differentiate -3267*l**3 + 2*l**2 + 75*l**b + 3266*l**3 - 185 wrt l.
-3*l**2 + 154*l
Let m(d) be the second derivative of -83*d**6/3 - 433*d**2/2 - 10*d + 19. Differentiate m(u) wrt u.
-3320*u**3
Let y(u) be the first derivative of 3259*u**3/3 - 45*u**2/2 + 89*u - 10045. What is the second derivative of y(g) wrt g?
6518
Let u(p) = -206*p**4 - p**3 + p**2 - 10*p + 7. Let a(i) = -2*i**4 + i**3 - i**2 - i + 1. Let c(x) = a(x) + u(x). What is the second derivative of c(f) wrt f?
-2496*f**2
Let v(x) = -814*x**2 - 15*x - 5379. Let n(f) = 399*f**2 + 7*f + 2690. Let h(k) = -13*n(k) - 6*v(k). Find the first derivative of h(t) wrt t.
-606*t - 1
Suppose 0 = 5*s, -5*x = 3*s - 6 - 9. What is the third derivative of -2638 + 32*z**5 + 3*z**x + 7*z**2 + 2638 - 11*z wrt z?
1920*z**2 + 18
Let j be -6*(-65)/60*4*1. What is the derivative of -31*n - 211 - 14*n + 9*n - j*n + 11*n wrt n?
-51
Let b(f) be the third derivative of -f**7/70 + 23*f**4/4 + 1283*f**3/6 - 1833*f**2. What is the derivative of b(p) wrt p?
-12*p**3 + 138
Let c(y) be the first derivative of 31 - 7/3*y**3 - 4*y + 5/3*y**4 + 0*y**2. Let k(u) be the first derivative of c(u). Find the second derivative of k(o) wrt o.
40
Let c be (32 + -7)/(-5) + 7. What is the third derivative of -2 + 17*y**3 - c + 24*y**2 - 101*y**3 + 7 - y**4 wrt y?
-24*y - 504
Let z(u) be the first derivative of 465*u**7 - 919*u**3/3 + 3*u**2/2 + 2586. What is the third derivative of z(x) wrt x?
390600*x**3
Let i be ((-12)/8)/(3/(-22)). Let m = -9 + i. Find the third derivative of -m*k**2 + k**2 + 5*k**5 + 12*k**5 - 6*k**5 wrt k.
660*k**2
Find the first derivative of -61*t**3 + 4030 + 21*t**3 + 16*t**3 - t + 27*t**3 - 109*t**2 + 11*t**3 wrt t.
42*t**2 - 218*t - 1
Let q = 558 - 552. What is the second derivative of 8*i**2 + 28*i**2 + 392 - q*i + 2*i**3 - 382 wrt i?
12*i + 72
Let d be (-10*6/42)/((-2)/14). Let v be (d/6)/((-2)/(-6)). Find the third derivative of 5*b**4 + b**6 - v*b**4 + 8*b**2 + 0*b**4 wrt b.
120*b**3
Suppose 3*d - 22 = -0*s - 2*s, 58 = 5*d - 2*s. Let f = -8 + d. Differentiate f - 592*a - 10 + 593*a wrt a.
1
Let a(r) be the third derivative of -31/70*r**7 - 37/24*r**4 + 0*r**6 + 0*r - r**2 + 0*r**3 - 66 + 0*r**5. Find the second derivative of a(g) wrt g.
-1116*g**2
Find the third derivative of -380*b**5 - 7319*b**2 + 2*b**3 - 180*b**6 + 162*b**5 + 181*b**6 wrt b.
120*b**3 - 13080*b**2 + 12
Let i(k) be the first derivative of 201/4*k**4 + 41 + 0*k + 0*k**2 - 49*k**3. Find the third derivative of i(w) wrt w.
1206
Let l = 432 - 412. What is the first derivative of 70 + 107*m - l*m + 24*m wrt m?
111
Let i = -10 - -12. Find the second derivative of -32*d**i + 122*d - 42*d**2 + 21*d**2 - 36*d wrt d.
-106
What is the second derivative of -1015*h**3 - 767*h**3 - 259*h**5 - 11 + 1782*h**3 + 223*h wrt h?
-5180*h**3
Let d(v) = -5742*v**2 - 271*v - 1. Let r(z) = 2873*z**2 + 136*z + 1. Let w(j) = -2*d(j) - 5*r(j). What is the second derivative of w(i) wrt i?
-5762
Let f(s) be the first derivative of 877*s**6/2 - 3*s**3 - 71*s**2/2 - 2384. What is the third derivative of f(w) wrt w?
157860*w**2
Let w(a) = 779*a**3 - 186*a - 4. Let t(p) = -781*p**3 + 180*p + 6. Let x(j) = 2*t(j) + 3*w(j). What is the second derivative of x(v) wrt v?
4650*v
Let n(z) = -24498*z + 6199. Let w(d) = 2227*d - 568. Let u(r) = -4*n(r) - 46*w(r). What is the first derivative of u(m) wrt m?
-4450
Let b = 97 + -72. Differentiate -10*j**2 - 10*j**2 + b + 2*j**2 with respect to j.
-36*j
Let n(w) = -157*w + 204. Let m be -14 + 4*(-35)/(-28). Let y(p) = 629*p - 811. Let i(r) = m*n(r) - 2*y(r). What is the first derivative of i(l) wrt l?
155
Let m(r) be the first derivative of -17*r**6/6 - r**5/5 + 5*r**3/3 - 9*r + 1883. What is the third derivative of m(l) wrt l?
-1020*l**2 - 24*l
Let f(u) be the second derivative of 0*u**5 + 3*u + 0*u**4 + 0*u**2 - 1/15*u**6 + 25/14*u**7 + 12 - 11/3*u**3. What is the second derivative of f(y) wrt y?
1500*y**3 - 24*y**2
Let v(q) be the first derivative of -621*q**3 - 513*q**2 - 506. Find the second derivative of v(l) wrt l.
-3726
Let n(x) be the first derivative of -1245*x**4/4 - 7*x**2/2 + 19*x + 1569. Find the second derivative of n(m) wrt m.
-7470*m
What is the third derivative of -37822*q**4 - 2*q**5 + 6*q**5 + 37817*q**4 + 3375*q**2 wrt q?
240*q**2 - 120*q
Let b(u) = u**3 - 7*u**2 + 9*u - 15. Let g be b(6). Find the second derivative of -j**4 + 6*j**3 + 7*j**g - 62*j + 10*j - 6*j**3 wrt j.
-12*j**2 + 42*j
Let g(p) = p**3 + 4*p**2 - 3*p + 1. Let o = 50 + -54. Let v be g(o). Differentiate 2 + 2*f + v + 6 + 17*f with respect to f.
19
Suppose 0*f = -8*f + 112. Let p = -11 + f. Find the first derivative of -2*z**4 + 6 - z**3 + 17 + z**p wrt z.
-8*z**3
Suppose


hat is the highest common factor of 20 and 4555?
5
Calculate the highest common divisor of 538809 and 9.
3
What is the highest common factor of 447486 and 78?
78
Calculate the greatest common divisor of 114756 and 1332.
12
Calculate the greatest common factor of 18370 and 275.
55
What is the highest common factor of 143 and 27534?
13
Calculate the highest common factor of 52 and 117182.
26
Calculate the highest common divisor of 18717 and 1051455.
1101
What is the greatest common divisor of 545 and 32?
1
What is the highest common divisor of 120 and 42360?
120
Calculate the greatest common divisor of 7236 and 9204.
12
Calculate the highest common divisor of 180 and 144972.
36
What is the greatest common factor of 2077 and 62109?
67
Calculate the greatest common divisor of 30267 and 472.
59
Calculate the highest common factor of 784 and 3311.
7
Calculate the greatest common factor of 2797 and 1.
1
Calculate the greatest common factor of 167536 and 6068.
148
Calculate the highest common factor of 4614560 and 32.
32
What is the greatest common factor of 3540 and 20826?
6
What is the highest common divisor of 27 and 1910763?
27
What is the highest common factor of 370 and 674325?
185
Calculate the greatest common divisor of 979 and 3537127.
979
What is the greatest common divisor of 24784 and 16?
16
What is the highest common divisor of 559845 and 13?
13
What is the highest common divisor of 1683121 and 583?
583
What is the highest common divisor of 1836 and 9612?
108
What is the highest common divisor of 41 and 13?
1
Calculate the greatest common factor of 4925 and 1700.
25
Calculate the highest common divisor of 432 and 14769.
27
What is the greatest common divisor of 1595 and 935?
55
What is the highest common divisor of 66511 and 454?
227
What is the highest common factor of 10754796 and 852?
852
Calculate the greatest common factor of 36815 and 1665.
185
Calculate the greatest common divisor of 12348 and 490.
98
What is the greatest common divisor of 8448 and 8608?
32
Calculate the greatest common divisor of 36 and 927819.
9
Calculate the greatest common divisor of 1360248 and 19.
19
What is the highest common divisor of 324 and 764559?
81
Calculate the greatest common divisor of 532 and 43008.
28
What is the highest common divisor of 7470 and 240?
30
What is the greatest common factor of 1131 and 1093503?
87
Calculate the highest common factor of 4035 and 240.
15
What is the greatest common factor of 2673 and 125532?
99
What is the greatest common divisor of 495 and 8163?
9
Calculate the highest common divisor of 22 and 15961.
11
What is the highest common divisor of 475 and 8417?
19
What is the highest common divisor of 3311 and 79765?
301
Calculate the greatest common divisor of 867 and 15861.
51
What is the highest common divisor of 32 and 820128?
32
Calculate the greatest common factor of 40 and 50.
10
What is the greatest common factor of 300 and 2676?
12
What is the highest common divisor of 1771484 and 132?
44
Calculate the highest common divisor of 5916 and 1392.
348
What is the highest common divisor of 47607 and 84?
21
What is the highest common factor of 33 and 18939?
3
Calculate the highest common divisor of 24125 and 772.
193
What is the greatest common divisor of 1740 and 852?
12
What is the greatest common factor of 17 and 1009919?
17
Calculate the greatest common factor of 1300 and 1280.
20
What is the greatest common divisor of 305 and 159515?
305
What is the greatest common divisor of 547506 and 378?
54
What is the highest common divisor of 858 and 5478?
66
What is the greatest common factor of 5088 and 120?
24
Calculate the highest common divisor of 459206 and 33.
11
Calculate the highest common divisor of 11169 and 170.
17
What is the greatest common factor of 770 and 950?
10
Calculate the greatest common divisor of 860 and 6370.
10
What is the highest common factor of 12025 and 130?
65
Calculate the greatest common factor of 40578 and 18.
6
What is the greatest common divisor of 8803850 and 550?
550
What is the highest common divisor of 108621 and 2533?
149
What is the greatest common factor of 1924481 and 962?
481
Calculate the highest common factor of 134536 and 1876.
268
Calculate the greatest common divisor of 18034 and 26.
2
What is the highest common divisor of 2706 and 50799?
123
Calculate the greatest common factor of 12 and 156006.
6
Calculate the highest common factor of 966 and 1368339.
483
What is the greatest common factor of 45976 and 3689?
7
What is the greatest common factor of 32 and 168772?
4
Calculate the highest common divisor of 81993 and 3171.
453
Calculate the greatest common divisor of 136604 and 426.
142
Calculate the highest common divisor of 36227 and 1717.
17
Calculate the highest common divisor of 504 and 66808.
56
What is the highest common divisor of 940 and 3138284?
188
Calculate the highest common divisor of 16544 and 64.
32
Calculate the greatest common divisor of 36 and 562692.
12
What is the highest common factor of 630 and 24822?
126
Calculate the greatest common divisor of 16560 and 15824.
368
Calculate the greatest common divisor of 343680 and 12.
12
Calculate the highest common divisor of 126 and 164682.
126
What is the highest common divisor of 282 and 202053?
141
What is the greatest common factor of 3570 and 17115?
105
What is the greatest common factor of 1958 and 88?
22
Calculate the highest common divisor of 1771 and 121.
11
Calculate the highest common factor of 181583 and 133.
19
What is the greatest common divisor of 507088 and 15088?
656
What is the greatest common factor of 1531950 and 15?
15
What is the greatest common divisor of 411 and 507?
3
What is the greatest common factor of 3 and 279987?
3
Calculate the highest common factor of 61 and 48129.
61
What is the greatest common factor of 240 and 5120?
80
Calculate the greatest common divisor of 164 and 2680498.
82
What is the highest common divisor of 159 and 2340?
3
What is the highest common factor of 1235 and 414466?
247
Calculate the highest common divisor of 3978 and 8874.
306
What is the highest common factor of 612653 and 62?
31
What is the greatest common factor of 210 and 12880?
70
What is the greatest common divisor of 24420 and 2805?
165
Calculate the highest common factor of 5359 and 1058.
23
What is the greatest common divisor of 9092 and 28?
4
Calculate the highest common factor of 88236 and 22188.
516
What is the greatest common divisor of 195 and 12345?
15
What is the greatest common divisor of 52260 and 780?
780
Calculate the highest common divisor of 87754 and 374.
34
Calculate the highest common factor of 32804 and 25488.
236
What is the greatest common divisor of 9453198 and 538?
538
What is the highest common factor of 39402 and 286?
22
What is the greatest common factor of 363 and 518265?
33
What is the highest common divisor of 7607127 and 66?
33
Calculate the highest common divisor of 936 and 12996.
36
Calculate the greatest common factor of 7380 and 3264.
12
What is the highest common factor of 126 and 39042?
18
What is the highest common factor of 45588 and 1392?
348
What is the highest common factor of 2431 and 5525?
221
Calculate the highest common divisor of 234 and 317421.
117
Calculate the highest common factor of 2064 and 21156.
516
What is the greatest common factor of 176 and 5137?
11
Calculate the greatest common divisor of 6486 and 705.
141
Calculate the greatest common factor of 45942 and 1674.
186
What is the greatest common divisor of 99 and 233552?
11
What is the highest common factor of 288 and 2911968?
288
What is the highest common divisor of 237921 and 142?
71
What is the greatest common divisor of 44891 and 159?
53
What is the highest common divisor of 108 and 850386?
6
Calculate the highest common divisor of 36 and 15606.
18
Calculate the highest common divisor of 3420 and 109260.
180
What is the greatest common divisor of 1547334 and 372?
186
What is the greatest common divisor of 145 and 418?
1
What is the highest common divisor of 102 and 247911?
51
What is the highest common factor of 370 and 12062?
74
What is the greatest common factor of 8816 and 1392?
464
What is the highest common factor of 672 and 4578?
42
What is the highest common divisor of 1952606 and 1?


*a = b. What is the least common multiple of r and i?
2
Find the common denominator of ((-40)/(-42))/10*(-917)/(-12) and -8/9.
18
Let t = -26850/11 - -2443. Calculate the common denominator of 69/10 and t.
110
Let r = -743/8 - -93. Find the common denominator of r and -48/7.
56
Let x(w) = -w**3 + 6*w**2 + 1. Let s be x(6). Let h = s + -13. What is the common denominator of -103/6 and (58/30)/(h/50)?
18
Let t be ((-4)/(-24)*-341)/(4/(-1058)). Let f(p) = -3009*p - 3. Let z be f(-5). Let w = z - t. Find the common denominator of w and 79/6.
12
Suppose -11 - 21 = -2*b. Calculate the least common multiple of 8 and b.
16
Let h = 1468495/51 - 28795. Let o = h - -1361/816. Calculate the common denominator of o and 49/6.
48
Suppose 14 = 3*a - 2*g, 0 = 4*a + 2*g - 8 - 20. Calculate the least common multiple of a and 76.
228
Suppose -n + 5 = 3*d, n + 0*d = -5*d + 3. Calculate the common denominator of ((-2)/n*-3)/1 and (-2)/(-9) - (-907)/90.
20
Suppose h + 51 + 18 = 0. Let p = h + 46. Let x = p + 32. Calculate the smallest common multiple of 10 and x.
90
Let n = -51 - -54. What is the lowest common multiple of 19 and n?
57
Let l = -12529 - -19416. Let b = 11342231/1650 - -4307/825. Let i = b - l. Calculate the common denominator of -81/2 and i.
10
Suppose -x = -5*x + 96. Suppose 4*k = -20, x = 2*d - 5*d - 3*k. Let g = -2 - d. Calculate the smallest common multiple of g and 11.
11
Let f = 19 + -7. Find the common denominator of (-435)/f*(-1)/(-25) and 47/14.
140
Suppose -3*n + 6 = -0*n. What is the common denominator of 170/(-16)*6/15 and n - (-1 - 210/(-16))?
8
What is the common denominator of -39/2 and (15/(-2))/(-4 - -3 - 0)?
2
Suppose -2*z = 2*z - 168. Find the common denominator of -3 + 81/z + -2 and 7/6.
42
Find the common denominator of 4/(-42)*3 + -2 and -27/4.
28
Let n = -45 + 47. What is the lowest common multiple of 2/3*(-6)/(-2) and n?
2
What is the least common multiple of (-122)/(-6) - ((-112)/(-21) - 5) and 6?
60
Suppose -2*b - b - 12 = 0. Calculate the common denominator of 14/b - (-5)/20 and (-6)/9*106/(-12).
36
Calculate the common denominator of -41/12 and (-1)/15*(680/(-6) - 5).
36
Let c = -11 + 10. Find the common denominator of 2 - (c + 47/(-20)) and -49/8.
40
Let v(x) = x**2 + 3*x. Let z be v(-3). Calculate the common denominator of 5/3 and 109/(-10) - (z + -2).
30
Let c = 841/8 + -105. Find the common denominator of 139/6 and c.
24
Suppose 2*t + 14 = 4*t + 5*a, 5*a = 2*t - 14. Calculate the least common multiple of t and 1.
7
Suppose -5*a + 31 = 2*v, 1 + 6 = 2*v - 3*a. What is the lowest common multiple of v and 1?
8
Suppose 14 = -0*x - x. Let y = -3 - x. What is the least common multiple of y and 5?
55
Let q(i) = 6*i**2 - 3*i + 2. Calculate the lowest common multiple of 2 and q(1).
10
Suppose -5*l = -6 - 14. Suppose 3*w = o + l, 0 = -5*w + 10 + 10. Calculate the lowest common multiple of 10 and o.
40
Find the common denominator of -85/32 and (49/32 + -2)/((-15)/(-25)).
32
Suppose -25*m = -10*m - 15. What is the lowest common multiple of m and 8?
8
Let f(m) = 9*m**2. Let q be 3/(-15) + 99/(-5). Let x = -14 - q. What is the least common multiple of x and f(-1)?
18
Let b be -36*3*(-2)/9. Suppose -q + b = q. Calculate the smallest common multiple of q and 14.
84
Suppose -i - 11 = -2*j + 2*i, 0 = 4*j + 5*i + 33. Find the common denominator of 0 - (-3 - j/3) and 17/8.
24
Let l be (-23)/2 + 1 - -2. Let r = l + -14/3. Find the common denominator of r and 27/8.
24
Suppose -48 = -3*l + 2*c - 5*c, -4*l + 63 = 3*c. What is the least common multiple of 27 and l?
135
Let o(p) = -3*p + 3. Let h be o(-5). Let d = -9 + h. Suppose 3 = 3*j - 21. Calculate the lowest common multiple of d and j.
72
Let h = -53113/12872 - -2/1609. Find the common denominator of -125/6 and h.
24
Suppose -3*j + 8*j = 80. Suppose 4*t - j = 2*t. Let b = -3 - -8. What is the least common multiple of t and b?
40
Let f = -35479/8445 - -2/1689. Find the common denominator of 1/11*(-23)/1 and f.
55
Let i be ((-72)/(-10))/((-4)/(-40)). Suppose -4*l = -0*l - i. Let o = 12 - -2. Calculate the least common multiple of o and l.
126
Suppose 3*m = -2*x + 2122, -3*x + 5*m - 2114 = -5*x. Let n = 6503/6 - x. Calculate the common denominator of n and -27/13.
78
Let i = -58755/308 - -1332/7. Find the common denominator of i and -19/16.
176
Let n = -61 + 85. Calculate the smallest common multiple of 11 and n.
264
Let k = 173203/20 - 8657. Calculate the common denominator of k and 31/4.
20
Let s = 18 - 4. Calculate the common denominator of 24 and (-6)/s - (-134)/84.
6
Let y be (52 - 13) + 3*1. Find the common denominator of (-238)/24 + (-14)/y and -13/12.
12
Find the common denominator of -83/10 and ((-189)/(-6))/(20/8).
10
Let o be 8 + (0 + 2 - 3). Suppose -4*m + 1 = -o. What is the common denominator of -17/14 and (1/(-5))/(m/(-43))?
70
Suppose -20 = -2*p - 3*p, 43 = -5*r - 3*p. What is the common denominator of (36/56)/(3/r) and 89/4?
28
Let s = -44 + 60. What is the smallest common multiple of s and 12?
48
Suppose 0 = 4*m - 44 - 20. Suppose -2*h + h = 4*w - m, 4*h - 44 = 4*w. Calculate the least common multiple of 22 and h.
132
Let n = 30 + -4. What is the least common multiple of n and 20?
260
Calculate the lowest common multiple of 14/(-8) + 2 + 207/36 and 14.
42
Let o(g) = g - 2. Let w(q) = -2*q + 2. Let h(l) = -4*o(l) - 3*w(l). Let n be h(10). Suppose p = n - 0. What is the smallest common multiple of p and 8?
88
Let c = -2/3847 - -165481/115410. Calculate the common denominator of c and -59/27.
270
Let o(m) = -m - 12. Let k be o(-14). Suppose 3*p + k*p = 75. What is the least common multiple of p and 7?
105
Suppose -2*y - 8*p - 16 = -3*p, -4*y = -2*p + 8. What is the common denominator of (1 + 20)*1/8 and ((-1)/8)/(y + 2)?
8
Suppose 3*w = -18 + 45. What is the least common multiple of w and 9?
9
Let d(n) = -n**3 + 0*n**2 + 0*n**2 + 7*n**2 - n - 8. Calculate the least common multiple of 4 and d(6).
44
Suppose -4*t + 3*t = -3, 3*c - 2*t - 3 = 0. Let l(m) = m**2 - 2*m - 1. What is the least common multiple of 6 and l(c)?
6
Let g(x) = -x**3 + 4*x**2 + 2*x + 3. Calculate the least common multiple of 4 + 6/(-3 - -5) and g(4).
77
Let i(n) = -n + 5. Let p be i(3). Suppose 4*t = g + 12 + 19, -7 = p*t - 5*g. Let k = -1 + 6. What is the least common multiple of k and t?
45
Suppose 0 = 12*j - 27 - 45. What is the smallest common multiple of 7 and j?
42
Suppose 2*s = -3*s - 45. Let t be (52196/16)/(s/4). Let b = t + 1444. Calculate the common denominator of b and -5/4.
36
Let v = 2 + -20. Let k = 28 + v. What is the lowest common multiple of 11 and k?
110
Let g = -14 + 30. Let j = -11 + g. Calculate the lowest common multiple of 0 + 1 + 0 + 10 and j.
55
Suppose 2*i - 1 - 5 = 0, 5*k + 4 = -2*i. Calculate the lowest common multiple of -3*k/(-4)*-2 and 8.
24
Let n(x) = x**3 - 4*x**2 - 4*x + 2. Let m be n(5). Suppose 0 = -3*j - 4*o - 95, -2*o + 1 = -o. Let c = m - j. Find the common denominator of c and 35/4.
4
Let k = -59/5 + 2778/235. Let l = 50/141 - k. What is the common denominator of l and -55/3?
3
Let s(f) = 22*f - 3. Let o be s(8). Suppose 4*h + o = z, -2*h + h + 532 = 3*z. Calculate the common denominator of 5/20 + z/(-28) and 23/18.
126
Let l = 16429/6 - 2756. Calculate the common denominator of (-33)/15 + 2 + 5307/1160 and l.
24
Suppose 0*j - k = -3*j + 17, 5*j = -k + 15. Calculate the least common multiple of 5 and j.
20
Suppose 9 = -3*u + 3*c, 3*u + 4*c - 9 = c. Suppose 4*y = -y + 25, u = -2*i + 4*y. Calculate the smallest common multiple of 22 and i.
110
Let t = 283087775/14 - 20211584. Let v = t - 8977. Find the common denominator of ((-190)/(-24))/((-4)/(-3)) and v.
112
Calculate the smallest common multiple of ((-42)/(-8))/((-6)/(-256)) and 22.
2464
Let a(c) = -c**3 - 9*c**2 - c. Calculate the least common multiple of 6 and a(-9).
18
Suppose -2*k + 3*p = p - 4, 3 = p. Suppose -k - 5 = -j. Calculate the smallest common multiple of 19 and j.
190
Let r be (-1)/(6/(-1580))*3. Find the common denominator of (-1)/2*12/((-168)/455) and (2/5)/((-88)/r).
44
Suppose 5*j - 22 = 3*j. Suppose 7 = h + 5*i, -3*h + 3*i + j + 10 = 0. Suppose 5*b - 3 - h = 4*s, -2*s + 8 = 4*b. What is the lowest common multiple of b and 9?
18
Let n = -5321/28 - -190. What is the common denominator of 77/12 and


-w*d + 12 = -8*d for d.
-4
Let v be 405/(-13) + (-94)/(-611). Let q = v + 33. Let h(y) = -y**3 + 5*y**2 - 4*y + 3. Let f be h(4). Solve -q*p - 3 = -f*p for p.
3
Let f(r) = -r + 32. Let u be f(22). Solve -u*x = -11*x - 4 for x.
-4
Let o be 8/(-60) + 534/135*-3. Let l = 17 + o. Solve 2*f = -l + 7 for f.
1
Let s(b) = 3*b - 43. Let l be s(16). Suppose -5*f = o - 5, f - 4*o = l + 17. Solve -6 = -4*k + f*k for k.
3
Let x(g) = -g + 3. Let i be x(1). Let r = 29 + -24. Let z = r + -1. Solve -i*v + v = z for v.
-4
Let q(o) be the first derivative of o**5/30 - o**2/2 + 16. Let p(j) be the second derivative of q(j). Let w be p(-1). Solve 0 = m + w*m - 15 for m.
5
Suppose 32 - 4 = 2*q. Suppose -34168 = -2350*m - 1921*m. Solve -q = -m*d + 2 for d.
2
Suppose -4*q = -4*g - 12, 4*q - 4 = q - 2*g. Let p = 242 - 217. Suppose z + 2*z + 15 = -3*k, -4*z - p = 5*k. Solve 2*u + 0*u - q = z for u.
1
Let a(p) = p**3 + p**2. Let r(n) = 2*n**3 - 23*n**2 - 25*n + 1. Let m(z) = -3*a(z) + r(z). Let x = 330 - 355. Let s be m(x). Solve -f - s = -6 for f.
5
Suppose -t - t = 4*m + 6, 0 = 4*m + 5*t + 15. Suppose m = 5*i - 5, -4*h + 11 = -3*i - 6. Solve l - 10 = -h for l.
5
Suppose 1365 - 1389 = -k. Solve 0 = 6*v - 66 + k for v.
7
Suppose 0 = -19*r - 11*r - 3*r + 825. Solve -12 = r*y - 31*y for y.
2
Let f(v) be the third derivative of v**4/6 + 29*v**3/3 + 2*v**2 + 37. Let b be f(-13). Solve -b*j = -4*j for j.
0
Let b be (765/(-425))/((-2)/120). Solve b = 4*q + 72 for q.
9
Suppose 5*l - 312 = -3*l. Suppose -14*a + l*a - 125 = 0. Solve -a*p = -2*p for p.
0
Suppose 26*z = -944 + 2374. Suppose -32*p = -43*p + z. Suppose 0 = -n + 3*h - 8*h + 18, -4*n + 42 = 5*h. Solve -n*m = -p*m for m.
0
Let o be 2*(56/24)/(1*4/12). Solve -a + 60 = o*a for a.
4
Suppose i + 44 = -4*a, 2*i + 94 = -3*a - 9. Suppose 14*n = -2685 - 1795. Let t be n/i - (-4)/14. Solve -t = -2*v - 0 for v.
3
Let j(c) = c**3 + c**2 - 3*c + 3. Let s be j(2). Let m = 11755 - 11753. Solve -s = a + m*a for a.
-3
Suppose -166*y - 1146 = -147*y - 3217. Solve -113*r + 20 = -y*r for r.
5
Suppose 0 = n + 55 - 64. Suppose -n*s + 20 = -7. Solve -q - 20 = s*q for q.
-5
Suppose -2*o + 14 = -17*o + 44. Solve 32*a + o = 33*a for a.
2
Suppose 0 = 5*z + 4*q - 10, 31*z = 35*z - q - 8. Solve 7 - 9 = z*f for f.
-1
Let y = 164 + -166. Let t be y*(-5 - 74/(-16))*4. Solve 0 = -t*h + 4*h for h.
0
Let h(z) = z**3 - 3*z**2 - 41*z - 38. Let v be h(-4). Solve v*w = 12 + 58 for w.
5
Let r be (4 - 87/21)*-21. Suppose -2*l + 11 = 2*p - 7, r*p + 50 = 4*l. Suppose 19 + 12 = z. Solve -4*d + z = l for d.
5
Let p(f) = -234*f - 1104. Let w be p(-5). Solve -17*m + w*m = 0 for m.
0
Let w(l) = l**2 + 6*l. Let x be w(2). Solve 13*j - 9*j = x for j.
4
Let q be 3 + 12/3 + -1. Suppose 0 = 22*v - 459 - 201. Suppose 42 = q*s + v. Solve -s*o = o + 15 for o.
-5
Let i be (5/(-3))/((-2)/6). Let z(t) = -t**2 + 170*t - 500. Let w be z(3). Solve i*h = 9 + w for h.
2
Let u be (-4)/(-8) - 6/(-4) - 0. Let z(q) = -3*q**2 + 33*q + 40. Let w be z(12). Solve -w - u = 2*r for r.
-3
Suppose -x - 5*r + 162 = 0, 5*x + r - 565 - 269 = 0. Let t = x - 165. Solve -t*m - 6 = 4 for m.
-5
Let h be (0 - -2)/2 - -1. Suppose -4*q + 0*i = -3*i, 0 = -5*q - h*i. Let d be 7 - -3*85/(-51). Solve q*l = -d*l - 6 for l.
-3
Suppose y = 4, -4*y + 16 = 60*s - 62*s. Suppose 2*j + 35 = 7*j. Solve w - j + 8 = s for w.
-1
Let b be ((-6)/(-4))/((-765)/(-294270)). Solve 0 = 588*v - b*v + 44 for v.
-4
Let a = 43 - 40. Suppose -a*y = -m - 2, -2*m = 3*m + 5*y - 50. Suppose -2*u - 5*n = -m*u + 40, 0 = 4*u - 5*n - 35. Solve 12 = u*i - i for i.
3
Suppose -2*d - 3*p - 3 = 12, 2*p = 4*d + 54. Let w be (-2 - d) + -26 + 22. Solve -1 - w = -7*t for t.
1
Suppose -5*k = w + 3, 0 = -3*w + 6*w - 4*k - 48. Let q = -3 + w. Solve -2*u + 7 = q for u.
-1
Suppose 7*a + 0 = -14. Let n be a*((-98)/4)/7. Solve -4*g + n*g = 12 for g.
4
Suppose 0 = -5*x - 35, -4*x - 764 = 2*s - 736. Solve s = -2*h - 35 + 21 for h.
-7
Let c be 129/(-2)*((-15)/9 + 3). Let b = -12 - c. Suppose 65 = -3*f + b. Solve 0*t - 9 = f*t for t.
-3
Let t be (-1 - -1)*(-1 - (-4)/6). Suppose -3*f + 9 = t, i = -2*i + 2*f. Suppose i*s = -3*s. Solve s*a - 3 = -a for a.
3
Let u be ((-5 - -1 - -1) + -11)*-1. Suppose 4*x + n = u, -5*x + 0*x + 10 = 5*n. Solve x*z = 8 - 20 for z.
-3
Suppose 2*z = -3*j + 11, -3*z + 8*z + j - 34 = 0. Suppose 3*y - 100 = -z*y. Solve -12*d + 10*d - y = 0 for d.
-5
Suppose -9*g = -10*g - 12. Let o be -57 - (8/g)/(2/(-3)). Let b = 62 + o. Solve b*m + m = 25 for m.
5
Suppose 5*n - 403 = -113. Let f = -58 + n. Suppose -3*v + 5*v - 12 = f. Solve -v*w = -10*w for w.
0
Let o be (-8)/((-768)/(-36))*-32. Let a = 28 - 26. Solve -a*d - 2*d - o = 0 for d.
-3
Let m = 635 + -415. Let n = m + -217. Solve -3*k - n - 9 = 0 for k.
-4
Suppose 52 = 4*h - 5*r, -3*h + 16 = -18*r + 20*r. Solve 5 = h*w - 11 for w.
2
Suppose 11981 = 103*l - 2954. Solve -l*m = -157*m + 48 for m.
4
Let i be 0*((-9)/2)/(-9). Let a be i/((1 + -2)*-2). Let o(y) = -y**3 + 13*y**2 - 30*y + 4. Let g be o(10). Solve -g*d + 15 - 3 = a for d.
3
Let v(c) = c**3 + 12*c**2 - 3*c - 25. Let l be v(-12). Suppose -5*x + 56 = l. Solve x*q = 6*q - 15 for q.
-5
Let j be (-122)/(-18) + 10/45. Let z(p) = 0*p**2 - 2*p**2 + 9*p - 9 + 7*p**2 - 6*p**2 + 0*p**2. Let u be z(j). Solve 1 = 6*b - u*b for b.
1
Let h = 5304 - 5302. Solve h*f - 87 = -77 for f.
5
Let w = 298 - 298. Suppose -3*x - f + 7 + 34 = w, 2*x - 3*f = 9. Solve -11*q + x = -8*q for q.
4
Let b be -5 - 30/40*-12. Suppose 12 + 88 = 5*n. Solve -4*z = -b + n for z.
-4
Let j(b) = -b - 11. Let w(z) = -3*z - 1. Let q be w(4). Let h be j(q). Solve -h*y - 15 = y for y.
-5
Let v be (7 + -3 - 4) + 4. Suppose 3*o = -f + 29, -v*o + 15 = -3*o + 3*f. Solve o = -0*h - 3*h for h.
-3
Let f be -1668*(-12)/288 + 1/2. Solve 895*a - f = 881*a for a.
5
Suppose 2*a + 2*n = 7*n + 380, 3*a = -5*n + 570. Solve -a + 158 = 8*z for z.
-4
Suppose -3*a = 5*j - 10, 0 = -a - 0*j - j + 4. Suppose -a*y - 4*y = 3*y. Solve y*i = -2*i + 10 for i.
5
Let q = 3803 + -3775. Solve -q + 83 = 11*y for y.
5
Let c be 0/(7 - (5 + -6 - -6)). Suppose c*f + 4*f + 4 = 4*t, 4 = -5*t - 4*f. Solve -3*j + 0*j = t for j.
0
Let z = 8030 + -7336. Solve -724 = 6*d - z for d.
-5
Suppose -12*f = 4*f - 472 + 136. Solve -227*t + f = -234*t for t.
-3
Let k be 4/(-6)*(-1584)/352. Solve k*l - 8 = l for l.
4
Suppose -4*u - 2*t = -22, 7 = -5*u - 4*t + 27. Let w(c) = -c**2 + 6*c + 15. Let a be w(u). Let l be -2 - (a + 2) - (-2 + -10). Solve -l + 4 = 5*b for b.
-1
Let v(i) = -i**3 + 7*i**2 - 38*i + 105. Let g be v(4). Let t be (-6)/2*(-10)/(-3). Let z be (8/t)/(6/(-15)). Solve r = z - g for r.
1
Suppose 6*f + 54 = 18. Let y be 25/(-25) - f/2. Solve x = -y*x + 12 for x.
4
Suppose 6*i = 234 - 186. Solve 0 = -i*n - 1 + 49 for n.
6
Suppose -13*l - 2*l = -525. Suppose 0 = 20*t - l - 25. Solve t*m + 2 = 5*m for m.
1
Let m = -524 - -659. Solve -23*l = 4*l + m for l.
-5
Let o = -23202 + 23234. Solve 43*y - o*y + 66 = 0 for y.
-6
Suppose 3*z = -2*z. Suppose 0 = x + 2*w - 20, 4*x - 73 = -4*w - 5. Suppose -5*g - x*g = -7*g. Solve g = -z*o - 5*o for o.
0
Suppose 3*d + 0*d = -39. Let s(t) = 2*t + 33. Let r be s(d). Suppose -h + 0 + 1 = 0. Solve -r = -4*x + h for x.
2
Let m = -198 - -201. Suppose -2*h + 0*h = 2*f - 6, -f - 5 = -m*h. Solve -2 = h*a + 2 for a.
-2
Let a be 16/10 + -1 - 6/10. Suppose 4*c - 8 = -a. Let g be 13/c + 9/(-18). Solve -8*m + 2 = -g*m for m.
1
Suppose 4*d - 5*b - 30 = -17, 0 = b + 1. Solve 4*a + d + 14 = 0 for a.
-4
Suppose 279 = 37556*w - 37525*w. Suppose -4 = d + 2*a - 0*a, 5*d + 4*a = -8. Solve d = m + 12 - w for m.
-3
Suppose 3*b + 5 = 17. Suppose -b + 16 = 4*q. Suppose f + 14 = q*f. Solve 2*v = -f + 1 for v.
-3
Let o = 50 - 32. Let c be 4/o*6*(-6)/(-4). Suppose 0 = c*f - x - 10, 2*f - 4*x - 18 = 4. Solve -f*w = -0*w for w.
0
Suppose -18*m + 12 = -12*m. Suppose -43 - m = -z. Suppose -b + z = 35. Solve 0 = 5*l - 0*l - b for l.
2
Let p(r) = r**3 + 8*r**2 - 50*r + 19. Let v be p(-12). Solve 14*w = -v + 113 for w.
5
Let g(x) = x**2 + 47*x + 306. Let i be g(-7). Solve 12 = -20*c + i*c for c.
2
Let l be (1/13)/(117/65403). Solve -37*r + l*r = -42 for r.
-7
Let w = -132 + -2. Let b = w + 154. Solve -5*f + b = -f for f.
5
Let u = -29 - -42. Suppose u = 6*d + 1. Let z be -3 - (-3 - d) - (-1 - -1). Solve -t = z*t + 15 f


52 PM
How many minutes are there between 9:37 AM and 11:13 AM?
96
What is 703 minutes before 4:24 AM?
4:41 PM
What is 132 minutes after 10:52 AM?
1:04 PM
What is 323 minutes before 12:44 PM?
7:21 AM
How many minutes are there between 2:26 PM and 3:58 PM?
92
What is 547 minutes after 7:59 PM?
5:06 AM
What is 223 minutes before 8:45 PM?
5:02 PM
What is 250 minutes after 4:52 PM?
9:02 PM
How many minutes are there between 10:59 AM and 3:03 PM?
244
What is 631 minutes before 12:44 PM?
2:13 AM
What is 54 minutes after 6:11 AM?
7:05 AM
What is 444 minutes before 10:26 PM?
3:02 PM
How many minutes are there between 12:28 AM and 4:19 AM?
231
What is 145 minutes after 7:04 PM?
9:29 PM
How many minutes are there between 9:04 AM and 8:14 PM?
670
What is 317 minutes after 5:10 AM?
10:27 AM
What is 418 minutes before 2:14 PM?
7:16 AM
How many minutes are there between 4:32 AM and 3:27 PM?
655
What is 154 minutes before 9:50 AM?
7:16 AM
How many minutes are there between 11:07 PM and 3:16 AM?
249
How many minutes are there between 10:16 AM and 2:50 PM?
274
How many minutes are there between 9:16 PM and 7:03 AM?
587
How many minutes are there between 10:49 AM and 5:52 PM?
423
How many minutes are there between 7:42 AM and 6:02 PM?
620
What is 582 minutes after 8:29 PM?
6:11 AM
What is 661 minutes after 12:46 PM?
11:47 PM
What is 132 minutes before 4:31 PM?
2:19 PM
How many minutes are there between 11:57 PM and 8:56 AM?
539
What is 669 minutes before 7:07 AM?
7:58 PM
What is 681 minutes before 10:51 AM?
11:30 PM
How many minutes are there between 10:54 AM and 11:14 AM?
20
How many minutes are there between 11:55 PM and 11:11 AM?
676
What is 685 minutes after 5:39 PM?
5:04 AM
How many minutes are there between 1:59 PM and 5:22 PM?
203
How many minutes are there between 8:53 PM and 3:31 AM?
398
How many minutes are there between 3:56 AM and 5:18 AM?
82
What is 44 minutes after 11:34 AM?
12:18 PM
What is 141 minutes before 5:09 AM?
2:48 AM
What is 172 minutes before 6:49 AM?
3:57 AM
How many minutes are there between 8:26 AM and 11:27 AM?
181
What is 419 minutes after 12:29 AM?
7:28 AM
How many minutes are there between 9:37 PM and 4:33 AM?
416
How many minutes are there between 4:16 PM and 12:06 AM?
470
How many minutes are there between 2:17 PM and 12:02 AM?
585
What is 159 minutes after 11:23 PM?
2:02 AM
What is 264 minutes before 10:24 PM?
6:00 PM
What is 582 minutes after 2:22 AM?
12:04 PM
How many minutes are there between 6:52 AM and 7:54 AM?
62
How many minutes are there between 9:09 PM and 8:16 AM?
667
What is 279 minutes before 1:48 AM?
9:09 PM
What is 558 minutes before 3:47 PM?
6:29 AM
What is 708 minutes before 2:40 AM?
2:52 PM
What is 211 minutes before 6:37 PM?
3:06 PM
How many minutes are there between 7:51 AM and 4:15 PM?
504
How many minutes are there between 5:31 AM and 7:09 AM?
98
What is 459 minutes before 10:50 AM?
3:11 AM
How many minutes are there between 5:26 AM and 4:47 PM?
681
How many minutes are there between 4:39 AM and 4:58 AM?
19
What is 54 minutes after 10:46 AM?
11:40 AM
How many minutes are there between 5:57 AM and 4:20 PM?
623
What is 249 minutes after 4:53 AM?
9:02 AM
How many minutes are there between 7:15 PM and 4:24 AM?
549
What is 546 minutes after 9:16 AM?
6:22 PM
How many minutes are there between 2:58 PM and 11:46 PM?
528
What is 337 minutes after 5:43 AM?
11:20 AM
How many minutes are there between 1:11 PM and 7:49 PM?
398
What is 153 minutes before 3:16 AM?
12:43 AM
How many minutes are there between 9:00 AM and 7:24 PM?
624
How many minutes are there between 7:17 AM and 12:54 PM?
337
What is 546 minutes before 5:23 PM?
8:17 AM
What is 244 minutes before 9:47 AM?
5:43 AM
What is 82 minutes after 1:30 PM?
2:52 PM
How many minutes are there between 4:08 PM and 6:05 PM?
117
What is 661 minutes after 10:22 AM?
9:23 PM
How many minutes are there between 6:29 PM and 3:35 AM?
546
How many minutes are there between 12:40 AM and 8:53 AM?
493
What is 587 minutes after 9:56 PM?
7:43 AM
How many minutes are there between 1:10 AM and 9:12 AM?
482
How many minutes are there between 7:04 PM and 5:11 AM?
607
What is 543 minutes after 7:15 PM?
4:18 AM
What is 260 minutes after 11:45 AM?
4:05 PM
What is 539 minutes after 7:04 PM?
4:03 AM
What is 526 minutes before 7:39 AM?
10:53 PM
What is 502 minutes before 11:29 PM?
3:07 PM
What is 643 minutes after 1:48 AM?
12:31 PM
What is 612 minutes before 6:06 PM?
7:54 AM
How many minutes are there between 8:36 AM and 2:07 PM?
331
How many minutes are there between 8:47 AM and 10:59 AM?
132
How many minutes are there between 3:35 PM and 9:48 PM?
373
What is 631 minutes before 8:02 AM?
9:31 PM
How many minutes are there between 8:06 AM and 2:06 PM?
360
What is 700 minutes before 12:58 PM?
1:18 AM
How many minutes are there between 5:34 AM and 10:20 AM?
286
What is 149 minutes before 4:47 PM?
2:18 PM
What is 655 minutes after 4:23 PM?
3:18 AM
What is 687 minutes after 1:07 AM?
12:34 PM
What is 194 minutes before 7:32 AM?
4:18 AM
What is 474 minutes before 8:25 PM?
12:31 PM
How many minutes are there between 6:55 AM and 11:04 AM?
249
What is 620 minutes before 12:01 AM?
1:41 PM
What is 67 minutes after 6:57 PM?
8:04 PM
How many minutes are there between 9:21 AM and 8:22 PM?
661
What is 42 minutes before 2:09 PM?
1:27 PM
How many minutes are there between 12:06 PM and 6:01 PM?
355
What is 332 minutes before 8:51 AM?
3:19 AM
How many minutes are there between 12:02 PM and 5:04 PM?
302
How many minutes are there between 7:42 PM and 1:26 AM?
344
What is 672 minutes after 1:48 AM?
1:00 PM
What is 6 minutes after 10:02 AM?
10:08 AM
How many minutes are there between 1:44 PM and 5:40 PM?
236
How many minutes are there between 9:50 AM and 10:57 AM?
67
What is 490 minutes after 12:24 PM?
8:34 PM
What is 480 minutes before 5:16 PM?
9:16 AM
What is 211 minutes after 3:02 AM?
6:33 AM
What is 564 minutes after 9:52 AM?
7:16 PM
What is 702 minutes after 3:16 PM?
2:58 AM
What is 669 minutes before 7:56 PM?
8:47 AM
What is 191 minutes after 2:54 PM?
6:05 PM
How many minutes are there between 11:42 PM and 11:41 AM?
719
How many minutes are there between 9:03 AM and 11:28 AM?
145
How many minutes are there between 1:45 AM and 2:35 AM?
50
What is 255 minutes before 11:39 PM?
7:24 PM
What is 646 minutes after 1:48 PM?
12:34 AM
What is 207 minutes after 4:12 AM?
7:39 AM
How many minutes are there between 3:04 PM and 9:29 PM?
385
How many minutes are there between 5:30 AM and 5:29 PM?
719
How many minutes are there between 10:42 AM and 4:09 PM?
327
What is 102 minutes before 1:38 PM?
11:56 AM
What is 321 minutes before 2:33 PM?
9:12 AM
How many minutes are there between 1:09 PM and 6:09 PM?
300
How many minutes are there between 8:37 AM and 8:05 PM?
688
How many minutes are there between 7:34 PM and 2:59 AM?
445
What is 41 minutes after 1:32 PM?
2:13 PM
How many minutes are there between 12:59 AM and 2:01 AM?
62
How many minutes are there between 1:54 PM and 12:11 AM?
617
How many minutes are there between 6:32 PM and 2:32 AM?
480
How many minutes are there between 5:54 AM and 1:27 PM?
453
What is 612 minutes before 11:41 AM?
1:29 AM
What is 89 minutes before 11:38 PM?
10:09 PM
How many minutes are there between 6:31 AM and 10:46 AM?
255
What is 524 minutes before 2:17 AM?
5:33 PM
What is 597 minutes before 1:54 AM?
3:57 PM
What is 328 minutes after 8:24 PM?
1:52 AM
How many minutes are there between 3:37 AM and 3:21 PM?
704
What is 678 minutes after 12:38 AM?
11:56 AM
How many minutes are there between 6:01 AM and 6:36 AM?
35
What is 148 minutes before 10:48 AM?
8:20 AM
What is 657 minutes after 12:56 AM?
11:53 AM
How many minutes are there between 10:10 AM and 3:33 PM?
323
How many minutes are there between 9:19 PM and 10:56 PM?
97
How many minutes are there between 3:09 PM and 3:11 PM?
2
How many minutes are there between 10:02 AM and 7:00 PM?
538
How many minutes are there between 5:03 PM and 6:33 PM?
90
How many minutes are there between 12:11 AM and 3:34 AM?
203
What is 97 minutes after 7:01 PM?
8:38 PM
What is 69 minutes after 2:59 PM?
4:08 PM
How many minutes are there between 4:47 AM and 1:14 PM?
507
How many minutes are there between 6:27 PM and 4:14 AM?
587
How many minutes are there between 11:30 AM


e -4*g + 2*g = -2. Let s be ((-6)/(-4) - g)*38. Suppose 0 = -4*h + 5*n - s, 5*n - 18 = 6*h - 3*h. Is 1/5 at least h?
True
Let x = -3 + 24. Let z be x/10 + (2 - 4). Let k = 17 - 16. Which is bigger: z or k?
k
Let a(v) = -v**3 + 14*v**2 - 15*v + 13. Let b be a(13). Is -11 at most as big as b?
False
Let t = 1919/15 - 128. Let j(f) = f - 5. Let x be j(5). Which is bigger: x or t?
x
Let k = 0.7 - 0.57. Is k equal to 1?
False
Let s = 0.05 - 0.05. Which is greater: -1/4 or s?
s
Suppose -2*v + 12 = 7*h - 3*h, 0 = -2*h. Are v and 6 non-equal?
False
Suppose 0 = -j + 2*u + 137, 2*j = j - 3*u + 162. Let o be j/30*(-5)/(-6). Let v = -13/3 + o. Which is bigger: -1 or v?
v
Suppose 2*x - 49 = -5*g + 4*x, -5*g = 5*x - 35. Let t be (6/9)/(2/g). Suppose -2*y = t*y. Which is smaller: y or -2/7?
-2/7
Let t(r) = -2*r + 3. Let l be t(0). Is 1 less than or equal to l?
True
Suppose -16 = -4*q, 5*t - 3*q + 5 = -2. Which is greater: -1/5 or t?
t
Let d(k) be the first derivative of -k**7/840 - k**6/180 + k**5/120 + k**3 + 1. Let c(g) be the third derivative of d(g). Let j be c(-2). Is -0.1 bigger than j?
True
Suppose 0 = -0*j + j - 2. Suppose j = -5*u + 4*w - 11, 4*u + 10 = 3*w. Let p be 0*u*(-3)/6. Is p greater than -2/25?
True
Let z(n) = -2*n + 6. Let h be z(3). Which is smaller: h or 3/5?
h
Let g(i) = -3*i + 14. Let o be g(5). Let j be 1 + 1/(12/(-15)). Which is bigger: j or o?
j
Let d(m) = -m + 3. Let p be d(-3). Let g be ((-9)/78)/(p/(-8)). Suppose 0*t - 3*t = 0. Is g less than or equal to t?
False
Suppose -4*g + 0*g = 4*u + 8, -2*g = -u + 7. Is -7/3 != g?
True
Suppose 2*p + 14 = -5*o + 3*o, 4*o + 20 = -2*p. Let c = p + 5. Which is bigger: c or 0.2?
c
Let m be (0 + -12)*15/(-12). Suppose 7*g = 2*g - m. Is -3 smaller than g?
False
Let s = -0.1 - -2.1. Let i = s + -1.9. Which is bigger: -0.2 or i?
i
Let d(n) = n**2 + 16*n - 24. Let k be d(-13). Which is bigger: -0.1 or k?
-0.1
Let m = 0.07 + 0.23. Let r = m - 0.4. Let g = -0.4 + -2.6. Which is bigger: r or g?
r
Let t(l) = l. Let b be t(1). Let y = 95 + -949/10. Is b at least as big as y?
True
Let z = 32.017 + -0.017. Is z smaller than -1?
False
Let h = -2 + 2.4. Let f = -9553 - -28922/3. Let p = 87 - f. Is h at least as big as p?
True
Suppose -24 = h + 5*i - 4, i = -5. Suppose 0 = h*j + 4*q + 11 + 13, -11 = 3*j - q. Which is smaller: -6 or j?
-6
Let b be (-40)/(-78) + (-4)/6. Let y be 3*(0 - -1) - 17/5. Which is smaller: y or b?
y
Let x(f) = f**3 - 4*f + 4. Let b = -15 - -17. Let l be x(b). Which is bigger: l or 3?
l
Let v(u) = u**2 + 28*u - 93. Let w be v(-31). Let a be 4/(-3) + (-1)/(-2). Is a equal to w?
False
Let r = 5 + -5. Let n = -5.16 - -0.16. Which is smaller: r or n?
n
Let r = -0.45 + 0.55. Let v = -1 + 0. Is r greater than or equal to v?
True
Let k be (2/8)/((-6)/248). Let x = 32/3 + k. Is -5 less than or equal to x?
True
Let c = -61 + 547/9. Which is smaller: -0.2 or c?
c
Let c be (0 - -2) + 0 + 2. Let h = c - 5. Let d be (4/6)/(h/(-3)). Is d at most 2?
True
Suppose -3*i = -8*i - 5*t + 20, 2*t - 9 = -3*i. Suppose 0 = 2*d + 3 - i. Which is smaller: d or 1?
d
Let r be ((-507)/(-18)*-2)/1. Let i = 395/7 + r. Is i < 0?
False
Let f(g) = g**3 - g**2 + g - 2. Let n be f(2). Suppose x + 21 = n*x. Which is smaller: 6 or x?
6
Let o = -0.12 - 4.88. Let y = o - -6. Which is greater: 0.3 or y?
y
Let z = 32 + -31. Which is bigger: z or 2?
2
Let z(q) be the third derivative of -q**4/24 + 4*q**3/3 - 2*q**2. Let p be z(6). Which is bigger: 1 or p?
p
Let n(g) = 4*g + 7. Let m be n(-3). Which is smaller: -4 or m?
m
Suppose 4 = 4*z - 4. Suppose m = z*q - 3 + 26, q + 2*m = -14. Let g be ((-6)/(-20))/((-18)/q). Which is greater: g or 1?
1
Let b = -18 - -88. Is b at most 69?
False
Let h be 15/21 + -1*1. Let g = 63 + -54. Which is smaller: g or h?
h
Suppose l - p + 17 = 5*l, -3*p - 29 = -4*l. Suppose -l*m + 21 = 1. Suppose i - 5 = -5*k - m, 4*i + 3*k - 4 = 0. Is i less than or equal to 1/2?
False
Let p be -5 + 1 + 63/24. Which is smaller: -1 or p?
p
Suppose 18 = 4*r - 5*i - 47, 4*i + 60 = 4*r. Let p = r - 10. Is p <= 2/21?
True
Suppose -3*r + 2*r + 2 = 0. Suppose -3*i - 1 = r. Let z be 2*i - 8/(-3). Is z at most -1?
False
Let i = -6 + 6.4. Let v = 0.6 + i. Is 0 != v?
True
Let j = -25 - -25.26. Let o = -0.16 + j. Let k = -7/8 - -29/24. Is o less than k?
True
Let u(d) = d - 17 + 1 + 1. Let g be u(14). Let i be (-24)/(-10) + (-2)/5. Is g less than i?
True
Let a = -24 - -14. Let x(p) = -5*p**2 + 3*p - 12. Let g(u) = -4*u**2 + 4*u - 11. Let b(i) = 6*g(i) - 5*x(i). Let d be b(a). Do 4 and d have the same value?
True
Let q = -8 + -4. Let z be ((-56)/6 + 6)*18/5. Are z and q equal?
True
Let s = 4 - 1. Let o be -12*s/(-6) - 0. Do 4 and o have the same value?
False
Let l(c) = 2 - 7 + 5*c - 2 + c**2. Let h be l(-6). Let i be 2/(-5)*(-2)/(-4). Are i and h equal?
False
Let g = -7481/13 + 575. Do g and -1 have the same value?
False
Let n = 1 + -1.1. Let m = 7/43 + -149/387. Which is smaller: m or n?
m
Let c = -3 + 5. Suppose 3*l + c*j + j = -27, -2*j - 26 = 4*l. Let y = -6 - l. Which is smaller: y or -1?
y
Let z(f) = -f**3 - 8*f**2 - 6*f + 8. Let o be z(-7). Is 4/61 greater than o?
False
Suppose 59 = 2*z + 4*s + s, 2*z = -3*s + 57. Let h be 6/9 - 24/z. Let y be (-4 + 3)*(-1 - -2). Which is bigger: y or h?
h
Suppose 5*u + 0*u - 2*x - 190 = 0, 0 = -4*u + 2*x + 150. Suppose u = -3*i - i. Which is greater: 1 or i?
1
Let c(z) = -6*z - 3*z**2 - 1 - 6 + 3*z**2 + z**2. Let m be c(7). Is m at least -1?
True
Suppose 3*n = 3*k - 15, 3*n + 4*k + 21 = 5*k. Does n = -9?
False
Let s = 24 + -23. Which is smaller: s or 0?
0
Let a(i) = -i**2 + 7*i + 1. Let r be a(7). Suppose t + 12 = 5*t. Let z be 0/1 - t/(-3). Is r not equal to z?
False
Let z = 5 - 4.7. Let q = 0.1 - z. Let w be 1*2 + (-10)/6. Which is bigger: w or q?
w
Let a be (-22)/8 + 3 - 22/(-8). Is a equal to -3?
False
Suppose 2*z + 3 = 5. Let j = z - 0. Do -0.6 and j have the same value?
False
Let p = 27.6 + -27. Let i = p - -0.4. Which is smaller: i or 2/23?
2/23
Let a(b) = b**3 + 10*b**2 + 9*b. Let x be a(-9). Is -2 at least x?
False
Let k = -253 + 499. Let r = 174856 + -1571492/9. Let q = k - r. Is 0 not equal to q?
True
Suppose -2*c - c = -9. Let z = -2 + c. Let g = 1.76 - 2.26. Does z = g?
False
Let d = 213/4 + -54. Which is smaller: d or 12?
d
Let h = -9.46 - -0.46. Does -1 = h?
False
Let m = 0 + -1. Let b be m - (5 + -3 - 2). Which is bigger: b or -3/5?
-3/5
Let z = -12 - -16. Suppose -3*s + z = -u, -2*s - 2 = 3*u - 12. Is s greater than 4/5?
True
Let k be ((-2)/4)/(5/(-20)). Let a be (2 - 0)/k + 2. Which is bigger: a or 1?
a
Let o = -29 + 47. Is 1 at least as big as o?
False
Let a be (-1)/3*30/4. Suppose 4*h - 5*t - 158 = 0, 3*h = 5*t + 126 - 10. Let k be 38/(-14) - 12/h. Is k at least as big as a?
False
Let s(h) = -h**3 + 8*h**2 - 4*h - 7. Let t be s(7). Let d = -23/2 + t. Which is smaller: d or -1?
-1
Let f(k) = -k**3 - 9*k**2 + 11*k. Let d be f(-10). Is -6 less than or equal to d?
False
Let v be 2 - 0/(3/3). Let o be 8/48*1*v. Which is smaller: o or -5/2?
-5/2
Suppose 34*c - 32*c = -4. Is -20/11 greater than or equal to c?
True
Let i = 5 + -5.6. Let h = -1.31 - 0.09. Let r = i + h. Which is smaller: r or -0.1?
r
Let d = 7 - 7. Which is smaller: d or -1/6?
-1/6
Let q(w) = -w + 2. Let r be q(-5). Which is greater: r or 4?
r
Let f = 7 + -3. Let q be (-744)/(-54) + (-4)/(-18). Suppose -2*b - q = -f*h, -2*b - b - 13 = 2*h. Is -3/10 less than or equal to h?
True
Let i be ((-1)/3)/((-2)/6). Let p be ((-9)/(-54))/(0 + (-1)/(-4)). Which is smaller: i or p?
p
Suppose 4 = -j, 4*j + 50 = 4*f - 6. Is 10 equal to f?
True
Let i be 3 - -4*95/10. Which is bigger: i or 42?
42
Let f(o) = -o. Let i be f(9). Is -6 smaller than i?
False
Let q = 7 + -7. Which is smaller: q or -2/3?
-2/3
Let m = 8 + -6. Let s be (-2)/4*0/(-3). Is s < m?
True
Let o be 8/(-2) - (-195)/52. Do o and -0.14 have the same value?
False
Let f be 2/3*-3 - -6. Suppose 0 = -f*t + 2*t + 4. Suppose -2 = -3*b + t*b. Which is greater: b or 1?
b
Suppose -10*l = -11 + 1. Which is bigger: 1/3 or l?
l
Suppose -3*g - 24 = 12. Let h = g - -11. Is 0 bigger than h?
True
Let y = -39/209 + 7/19. Is -1/6 bigger than y?
False
Let d = 1593 - 46189/29. Which is smaller: 1 or d?
d
Let j = 184 - 735/4. Let f(o) = -o**2. Let t be f(0). Let q be 0 + (t - 0) + 0


lse
Suppose 0 = 6*p - 25 + 7. Suppose -6*t = y - 2*t - 99, 0 = y + 2*t - 97. Suppose g = -4*b + y, 0*g - 185 = -2*g - p*b. Is g a multiple of 4?
False
Let i(n) = -28*n - 1. Let c be i(1). Let d = c - -176. Is 49 a factor of d?
True
Let n(h) = 22*h**2 - 3*h + 1. Let r be n(-3). Let q = r + -73. Is q a multiple of 27?
True
Let r(u) = 7*u**2 - 3*u + 4. Let x be r(0). Suppose x*w - 4084 + 947 = -5*q, 5*w = 15. Is q a multiple of 25?
True
Let h(a) = 3*a**2 - 3*a. Let o(r) = -1. Let w(k) = h(k) - 4*o(k). Let y(f) = f**3 + f**2 - 4. Let g be y(0). Does 24 divide w(g)?
False
Suppose 15*y - 360 = 19*y. Let n = -74 - y. Is 8 a factor of n?
True
Suppose -11*t - 25 - 8 = 0. Let x = -3 + t. Is (x/(-4))/(711/(-240) - -3) a multiple of 4?
True
Let k(m) = 9*m**2 + 7*m - 40. Let r(j) = -j**2 - 2*j + 1. Let b(g) = 2*k(g) + 14*r(g). Does 8 divide b(-5)?
True
Suppose j - 389 + 87 = 0. Let q = -275 + j. Does 9 divide q?
True
Let y(x) = -1528*x - 5224. Does 131 divide y(-14)?
False
Suppose 19*i - 5098 + 528 = 3543. Is 5 a factor of i?
False
Let j(k) = k**3 + k**2 - k. Let u(o) = 4*o**3 + 6*o**2 + 2. Let g be 2 + 4 + -8 + 1. Let x(i) = g*u(i) + 3*j(i). Is 10 a factor of x(-5)?
False
Let u(h) = 438*h - 266. Is u(7) a multiple of 40?
True
Let v(k) = 290*k**2 + 141*k - 989. Does 16 divide v(7)?
True
Suppose 3*q = -b + 4*b + 9, b + 3 = 4*q. Suppose 1104 = 3*r + n, 3*r + q*n = 2*n + 1113. Suppose -5*i + 930 = 5*d, i = -2*d - 2*i + r. Is d a multiple of 40?
False
Suppose -5*q + 143 = 23. Let v(b) = b**2 - 10*b + 12. Let s be v(9). Suppose -s*a = -288 - q. Is a a multiple of 49?
False
Let g(x) = 2*x**2 + 5*x + 12. Let t(o) = 2*o - 54. Let v be t(25). Let m be (-76)/10 + v/10. Is 20 a factor of g(m)?
True
Suppose -968 = -35*y + 24*y. Let o = 340 - y. Does 28 divide o?
True
Suppose l = 3*w - 55297, 14043 + 22831 = 2*w + 4*l. Is w a multiple of 248?
False
Suppose 9*s = 10*s + 5*b - 22365, s = -2*b + 22386. Does 112 divide s?
True
Let r = 57 + -51. Let h(d) = -d**2 + 5*d + 3. Let i be h(r). Is 33 a factor of (-2248)/(-32) - i/4?
False
Let y = -181 + 247. Let r = 412 - y. Does 11 divide r?
False
Suppose -106*j + 34*j = 148*j - 795960. Does 134 divide j?
True
Let x be (-15)/(-3) + -5 + 2. Suppose -x*q - 2 = -0. Does 14 divide (-3 - (q - 1))/((-2)/168)?
True
Let t be (-1)/(2/3)*(-16)/12. Suppose -2*s - 5*g - t = 5, 4*g - 8 = -5*s. Suppose v - s*w - 184 = 0, -w - 16 = -3*v + 547. Is 31 a factor of v?
False
Let d = -1595 + 933. Let r = -327 - d. Does 5 divide r?
True
Let m = 16 - 14. Suppose 0 = -m*y + y + 318. Let v = y - 161. Does 45 divide v?
False
Let y = -30189 + 43345. Is 46 a factor of y?
True
Suppose 2307 = 3*t + 5*j - 2*j, 2*j + 1558 = 2*t. Is 18 a factor of t?
True
Suppose 3*k = 5*v - 9, 2*k = -2*k + v - 12. Let y(j) = 8*j + 20. Let x be y(k). Let i(q) = -11*q + 12. Is 8 a factor of i(x)?
True
Suppose -5*u - 52 = t, -204 = -0*t + 3*t - u. Let s = t - -72. Suppose 2*q - 170 = q - 2*o, -4*q - s*o = -665. Is 12 a factor of q?
False
Suppose 4*z + 0*a - 2*a - 124 = 0, 0 = -5*z - 2*a + 146. Let m be z/(-40)*2/(-3)*56. Is 14 a factor of m*12/(-4 - -6)?
True
Let f be (96/56)/((-8)/(-1428)). Let q = 42 + f. Does 10 divide q?
False
Let o(d) = 2*d**2 + 17*d - 212. Is o(-56) a multiple of 119?
False
Let k(c) = 30*c**2 - 80*c + 785. Is k(27) a multiple of 30?
False
Let h be -1*(-2)/(-1)*-1. Suppose -184*u + 195*u = 55. Suppose 0 = -3*p - u*n - 0*n + 19, -h*p + 12 = 4*n. Does 2 divide p?
True
Let i = 4971 - 3411. Suppose 0 = 29*y - 27*y - i. Does 52 divide y?
True
Suppose 10*g = 17*g + 98. Let s(r) = r**3 + 19*r**2 + 13*r + 86. Is s(g) a multiple of 34?
True
Let w = 51 - 46. Let l = -11 - w. Is 24/l*4/(-6)*5 a multiple of 5?
True
Suppose 0 = -w - 31 - 37. Let d = w - -47. Does 7 divide -172*(2/(-10) - d/(-70))?
False
Let y = 72 + -68. Suppose 0*b + b - 3*j - 16 = 0, 0 = y*b + 4*j. Suppose -b*l = -168 - 84. Is l a multiple of 12?
False
Suppose -2*t = -0*t - 6, 99 = j - 3*t. Let i be (-1)/(3/(-94)) - (-72)/j. Let s = i - 17. Does 3 divide s?
True
Let k(s) = -s**2 + s - 6. Let i be k(0). Let x(l) be the second derivative of -7*l**3/3 + 8*l**2 - 188*l. Does 10 divide x(i)?
True
Suppose 3*p - 34633 = l, 21*l - 19*l = -5*p + 57718. Is p a multiple of 107?
False
Suppose 28*s - 104129 = -6353. Is 18 a factor of s?
True
Let p(l) = 6*l + 2. Let q be p(12). Suppose 0 = -4*d + 1 + 11. Suppose d*u = -11 + q. Does 7 divide u?
True
Let l(q) = -343*q + 7. Let c(u) = -u + 2. Let h(s) = -6*c(s) + 2*l(s). Is h(-1) a multiple of 51?
False
Suppose -17*p = -59899 + 14934. Suppose -9*z + 1738 = -p. Is 22 a factor of z?
False
Let y = -11 + 16. Let j = 935 + -593. Suppose 8*l - y*l = j. Is l a multiple of 19?
True
Let m(w) = -3*w + 18. Let p be m(6). Suppose 5*g = -3*z + 27, p = -3*g + 3*z + 12 + 9. Suppose -g*q + 88 = -4*q. Does 44 divide q?
True
Let f = -10583 + 11060. Is f a multiple of 9?
True
Suppose -80*t + 2*p + 31324 = -74*t, 0 = -5*t + 5*p + 26110. Is 15 a factor of t?
True
Suppose 3*y = 5*y - 198. Let f(b) = 10*b - 59. Let z be f(3). Let r = z + y. Does 14 divide r?
True
Let z(p) = -2*p**2 + 2*p + 14. Let a(r) = -5*r**2 - 6*r + 7. Let g be a(1). Let n be z(g). Let u = n + 80. Is u a multiple of 9?
True
Suppose -2*z - 6324 = -365*c + 362*c, 0 = -2*c - 4*z + 4184. Is 8 a factor of c?
True
Suppose 6*g + g - 21 = 0. Let o be (-24)/(-18)*2/((-4)/g). Is 20 a factor of -2*(2 + -3) - (o - 106)?
False
Suppose 0 = 4*v - 2*b - 3596, 4*v + 4*b - 3333 - 275 = 0. Does 15 divide v?
True
Suppose 28 = -55*v + 48*v. Let w be (-5)/10 + (-22)/v. Is 4 a factor of ((-21)/w)/(1/(-5))?
False
Let d(p) = -p**2 + 9*p + 4. Let u be d(9). Suppose 146 = -3*v + u*v. Suppose 0 = 5*j - 3*o - 674, -2*j = -3*j - 5*o + v. Does 21 divide j?
False
Is 1728/(-45)*(-280)/12 a multiple of 56?
True
Let i be 8/(-12) - (-30)/45. Suppose 22*j - 24*j + 480 = i. Is 24 a factor of j?
True
Is 5 a factor of 219*2*(-5)/20*-12?
False
Let u = -14380 - -25666. Is u a multiple of 18?
True
Let k = 892 + 2483. Is 13 a factor of k?
False
Is 3899661*(-4)/(-228) + (-6)/57 a multiple of 15?
True
Let t(r) = -2*r - 13. Let o be t(-9). Let s(b) = 16*b - 41. Is s(o) a multiple of 3?
True
Let j(u) = -2 - 63 - 301*u + 312*u. Does 9 divide j(19)?
True
Suppose 0 = 2*y - v - 1410, -52*v + 50*v - 12 = 0. Does 27 divide y?
True
Is 4783*(164/42 + (2853/189 - 15)) a multiple of 129?
False
Let r be (91/(-2))/7*-98. Suppose 2*y - 5*i = r, -6*i + 4*i - 1645 = -5*y. Is y a multiple of 39?
False
Suppose 43328 = 15*d - 1222. Is 110 a factor of d?
True
Let o(v) = v**2 - 2*v + 1. Let k be o(2). Let y = -28 - k. Let c = y + 49. Is c a multiple of 20?
True
Let d(p) = -1395*p + 75. Is 30 a factor of d(-3)?
True
Suppose -14*i = -15509 - 66335. Is 37 a factor of i?
True
Let b(x) = x**2 + 6*x - 8. Suppose -t = 2 - 6. Let g be b(t). Suppose d - g = 2*i, -2*d = i - 81 + 2. Is d a multiple of 9?
False
Let n(c) = 87*c**3 + 6*c + 7*c - 6*c + 0*c - 7*c**2. Is 27 a factor of n(2)?
False
Suppose 0 = -4*r - d + 35497, 0 = 2*r - 154*d + 152*d - 17736. Does 14 divide r?
False
Suppose 2*x + 176 = 3*i - 4*i, -5*i + 5*x = 910. Let t = 310 + i. Is t a multiple of 26?
True
Suppose -3*s - 66 = -2*b, 5*s + b + 2*b = -91. Let w be (-17512)/s - (-2)/5. Suppose -12*o + 6*o = -w. Does 16 divide o?
False
Let w = 46264 - 30140. Is 66 a factor of w?
False
Suppose 12*f - 4*f = 32. Suppose 5*o - 2119 = -3*v, 0*o + 3*v = f*o - 1679. Is 39 a factor of o?
False
Let a(o) = 4*o**3 + 38*o**2 + 18*o - 13. Is a(-8) a multiple of 11?
False
Let u(x) = -7 - 5 - 26*x + 19 - 2. Let d be u(-5). Suppose d = 8*m + m. Is 10 a factor of m?
False
Suppose -20*d + 23*d = 2*z - 6818, 2*d - 6788 = -2*z. Is 25 a factor of z?
True
Suppose -10*s + 4044 = -4*s. Let j = 861 - s. Is j a multiple of 11?
True
Is 5 a factor of -15*(-8)/40 + 1726 + 0?
False
Let k(u) = u + 25. Suppose 9 = -w + 2*h, 0 = h + 6 - 2. Let t be k(w). Suppose -3*y + t*y = 140. Is y a multiple of 5?
False
Let t(v) = 884*v**2 - 32*v + 70. Does 4 divide t(2)?
False
Let r(m) = -279*m + 1039. Does 23 divide r(-34)?
False
Suppose -1332 = -2*o - 354. Suppose -3*u + 3 = 0, -7*d - u = -2*d + o. Let m = d + 172. Does 49 divide m?
False
Let t(d) = d**2 - 4*d + 2. Let y be t(3). Let r be (0 - y)*(-3)/3. Is 23 a factor of (r + 0)*(-152 - 15)?
False
Let h(y) = 3*y + 18. Let v(t)


*y + 3*y**2 - 4*y + 1 - 1 as s*y + b + z*y**2 and give z.
3
Express -1 + 30*x + 0 + 1 in the form p*x + m and give p.
30
Rearrange 9*l**2 - 11*l**2 + 0 + 1 + 6*l**4 + l**2 - l to a*l**2 + t*l**3 + h*l + q + c*l**4 and give h.
-1
Express (6 - 5 + 1)*(-2 - 6*d + 2) in the form b*d + r and give b.
-12
Express -1 - 3*f**4 + 3*f**2 - 3*f + f**4 + 2*f**3 + f**4 - 5*f**3 in the form x*f**4 + c*f + m + l*f**2 + p*f**3 and give c.
-3
Express (-4 - 1 + 6 + 0 + 0 + 1 + (2 - 3 - 1)*(0 - 1 + 3) - 1 - 2 + 2 + 0 + 5 - 4)*(2 + 3*q - 2) in the form i + s*q and give s.
-6
Express (16*c - 2*c + c - 3*c + c + 4*c + (-2*c + 7*c - 3*c)*(3 + 0 - 2))*(5 - 3 + 1) in the form s + y*c and give s.
0
Express 2*t + 0*t**2 - t**2 + 1 + t + 6*t**4 - 6*t as a*t**2 + x*t + f*t**3 + u + q*t**4 and give x.
-3
Express 14*r + 10*r - 7*r as b*r + h and give b.
17
Rearrange -3*w + 4*w - 8*w + w to the form a*w + j and give a.
-6
Express -54*m - 10*m**2 - 16*m**2 + 25*m**2 + 7*m as y*m + l + t*m**2 and give y.
-47
Express 60 - 24*m - 60 + (3 - 6 + 2)*(2*m - 5*m + 4*m) as l*m + c and give l.
-25
Express o - 7*o**2 + 2*o**4 + 2*o**3 - 31 + 29 + o + 0*o**3 as f*o**3 + h*o + n*o**4 + j + m*o**2 and give m.
-7
Express (5*v**3 - v**3 + 0*v**3)*(v - 4*v + v)*(5 + 0 - 4) in the form q + h*v**2 + t*v + i*v**3 + s*v**4 and give t.
0
Rearrange (79 + 84 - 151 - v)*(-3 - 3*v + 3) to f + s*v + y*v**2 and give y.
3
Rearrange (-4*v + 5*v + 6*v)*(-2*v**2 - 4*v**2 + 0*v**2)*(-2 - 4 + 5) to the form m*v**3 + u*v**2 + h + a*v and give m.
42
Express 8*j**4 + 2*j**2 - 2*j**2 + (6*j**3 + 0*j**3 - 4*j**3)*(1 - 1 + 2*j) + 0*j**2 + 0*j**2 + 2*j**4 as z*j + u*j**2 + c + x*j**3 + f*j**4 and give f.
14
Rearrange 471 + 26*g - 471 to the form v*g + d and give v.
26
Rearrange (-1 - 1 + 1)*(-3*v - 2*v + 4*v)*(4*v - 2*v + v)*(3*v**2 - 6 + 6 + v) to y*v**4 + z + r*v**2 + a*v + j*v**3 and give y.
9
Express -57*h + 28*h - 2*h**3 + h**2 - 3 - 2 + 27*h in the form q*h**2 + m + o*h + u*h**3 and give u.
-2
Express (701 - 193*u - 701)*(5*u - 2*u - u) in the form v*u + g + o*u**2 and give o.
-386
Express 9*r - 9*r + 6*r**2 - 2*r**2 + 6*r**2 - 2*r**2 + (-3 + 3*r + 3)*(r + 4 - 4) - r**2 - 5 + 5 in the form v*r + h*r**2 + d and give h.
10
Rearrange 5 - 32*k + 32*k - 2*k**3 to the form i*k**2 + c + z*k**3 + p*k and give p.
0
Express 18*p**2 - 39*p**2 + 7*p**2 in the form w*p + s*p**2 + v and give s.
-14
Rearrange -17*m**3 + m**2 - 9*m + 21*m**3 + 2 - 3*m**2 + 11*m to the form p*m + i*m**3 + v*m**2 + w and give v.
-2
Express -2*g**4 + 3 - g**3 - 4*g**3 + 2*g + g**3 - g**3 as v*g + z*g**4 + c*g**2 + o*g**3 + b and give z.
-2
Express (g + g + 0*g)*(3*g - 3*g + 2*g)*(g**2 - 7*g**2 - 2*g + 0*g**2) as v*g + w*g**4 + m + s*g**3 + u*g**2 and give w.
-24
Rearrange (4 - 4 + 2*q + (-2 - 1 + 2)*(2*q - 2*q - q) - 56 + 56 + 8*q)*(0 - 1 + 3) to b + w*q and give w.
22
Express w**4 - w + 42*w**2 - 42*w**2 + 1 + 2*w**3 in the form s*w**3 + l + f*w**2 + t*w + z*w**4 and give s.
2
Rearrange 8*p - 7*p + 19*p to b*p + v and give b.
20
Rearrange -10*v - 10*v - 11*v + 8*v to the form m*v + b and give m.
-23
Express 2 + 0*v**3 - 12*v**4 + 2*v**3 + 13*v**4 in the form w*v**3 + p + d*v**2 + a*v + q*v**4 and give p.
2
Express 0*f + 453*f**2 - 451*f**2 + 4*f**3 + 3 + 0*f as u*f**3 + l*f**2 + y*f + n and give u.
4
Rearrange (0*u - 2*u - 2*u)*(-3 + 2 + 3) + 2 - 2 + u + (3*u + 2*u - 6*u)*(-3 + 1 + 0) to r + l*u and give l.
-5
Rearrange 4*o**2 + 47*o - 2*o**2 - 52*o to the form a*o + d*o**2 + n and give n.
0
Rearrange (w + 3*w + 5 - 7)*(3 - 3 + 1) to the form m + s*w and give m.
-2
Rearrange 0 - 2*p**2 + 0 + (1 - 1 + 3*p)*(11*p - 4*p + 2*p) to the form k*p**2 + g + a*p and give k.
25
Rearrange (134 - 134 - 6*l)*((0 + 0 - 2*l)*(-3*l + l + 0*l) - l**2 - 3*l**2 + 6*l**2) to the form o + w*l**2 + u*l**3 + p*l and give u.
-36
Rearrange -7*z - 11*z + 4*z to b*z + g and give b.
-14
Rearrange -2*p + 0*p - 129*p**3 - 8*p**2 + 131*p**3 to d*p**3 + x*p**2 + a + r*p and give r.
-2
Rearrange ((-4 + 2 + 3)*(-13 + 4 - 2) - 3 + 4 - 4)*(-4*h**2 + 3*h + h**2 - 4*h) to the form f*h + o + b*h**2 and give b.
42
Rearrange (0*k - 3*k + k)*(0 - 1 - 8)*(-2 - 1 + 2)*(3*k + 2*k - 3*k) - k**2 + 3 - 3 to the form x*k**2 + c + z*k and give x.
-37
Rearrange 3 + 5*t**2 + t**3 + 2*t**2 + 2*t**3 - 4*t**2 to the form m + d*t**2 + w*t + h*t**3 and give m.
3
Express -29*s + 27 - 27 as k + f*s and give f.
-29
Rearrange (-1 + 1 + 2)*(-2*l + 5*l - l)*(-51 - 121 + 236) to the form k + n*l and give n.
256
Rearrange -2 + 600*x - 530*x + 2 to j*x + g and give j.
70
Express 17*p - 3*p + 9*p in the form w*p + b and give w.
23
Rearrange (4 - u - 6 + 2*u)*(-11 + 4 + 10 - 1 - 2 + 1 + (3 + 0 - 1)*(1 - 2 + 2)) to d*u + m and give d.
3
Rearrange 10 + 15 - 132*w + 11 + 134*w to u*w + z and give u.
2
Express 0*b + 13*b - 2 + 4*b**4 - 12*b - 3*b**3 + b**4 in the form j*b**3 + k*b + y*b**2 + r + w*b**4 and give r.
-2
Rearrange 4*h + 2*h**2 - h**2 + 7 - 7 - 4*h**3 to v + l*h**2 + z*h**3 + p*h and give z.
-4
Express -y**4 - 2*y**4 + 11*y**3 - y**2 - 1 - 13*y**3 as k*y + l*y**3 + i*y**2 + d + b*y**4 and give i.
-1
Express -1 + 5 - w**2 - 7 + 2*w + 0*w**2 as q*w + t*w**2 + y and give t.
-1
Express 2*r - 2*r + 54*r**3 - 15*r**2 - 52*r**3 in the form h + k*r + q*r**2 + j*r**3 and give q.
-15
Rearrange 3 + 10*q**2 - 2*q**2 - 2 - q to g + y*q + w*q**2 and give w.
8
Express (4 + 5 - 17*z**2 - 7)*(0*z**2 - 3*z**2 + 7*z**2) in the form a + f*z**3 + s*z**2 + h*z + n*z**4 and give s.
8
Express 8*f - f - 3*f in the form c*f + a and give c.
4
Express 4 + 2*a**3 - 14*a - 2 + 11*a as x*a + q + r*a**2 + u*a**3 and give u.
2
Express 2*a**2 + 4*a**2 + 6*a**2 as y*a + d*a**2 + x and give d.
12
Rearrange -o + 9*o + 10*o - 29*o to the form l*o + v and give v.
0
Rearrange 29 + 5 - j - 10 to t + u*j and give t.
24
Rearrange -f + 4*f - 3*f - 23*f**2 to the form w*f + b*f**2 + x and give b.
-23
Rearrange -13*j**2 - 1 + 0 + 11*j**2 to m*j + k*j**2 + n and give n.
-1
Express z**3 - 5*z**4 - z + 3*z**4 + 7*z**2 - 2*z + 4*z as y*z**3 + o + c*z**2 + i*z + f*z**4 and give f.
-2
Express (1 - 3*d - 1)*(7 + 4*d + 0*d - 5*d) in the form t + g*d + q*d**2 and give t.
0
Rearrange (6*x**2 - 9*x**2 - 7*x**2)*(-2*x + x - 2*x) + (-x - 4 + 4)*(0 - x**2 + 0) + 2*x - 2*x**3 - 2*x to a + m*x + j*x**3 + w*x**2 and give j.
29
Express (-2*x**2 + x**2 + 2*x**2 + (1 - 1 - 3*x)*(4*x + 2*x - 4*x))*(3 - 2 - 2 + (-4 + 4 + 2)*(-23 + 3 + 6)) as i + l*x**2 + o*x and give l.
145
Express -2*a - 7*a - 2*a as p + u*a and give u.
-11
Express ((2 + 3 - 4)*(-3 + 2 + 3) + 2 - 2 + 2)*(-46*a + 21*a**3 + 46*a) as n*a**2 + k + x*a**3 + d*a and give x.
84
Rearrange ((-3 + 7 + 0)*(-q**2 + 0*q**2 + 2*q**2) - q + q + 3*q**2)*(-3*q + 1 - 1) to r + n*q**2 + v*q**3 + h*q and give v.
-21
Rearrange 27*x**3 - 28*x**3 - 1 + 0 to c*x + r*x**2 + w + i*x**3 and give w.
-1
Rearrange (4*p - 3*p - 2*p - p + 0*p - p + (0*p - 4*p + 3*p)*(3 - 3 + 1))*(-40 - 4*p + 40) to h*p + k + x*p**2 and give x.
16
Rearrange (4*a**2 - a**2 - 5*a**2)*(-3 + 7 + 6) - 2*a**2 - 3 + 3 to q + u*a**2 + g*a and give u.
-22
Express -10*x + 9*x + 6 - 5 + 11*x**3 - 2 as s*x**2 + u*x**3 + d + p*x and give p.
-1
Rearrange (-2*v - 10*v - v)*(-v + v + 2*v) + 0*v**2 + 4*v**2 - 5*v**2 to the form q + u*v**2 + o*v and give u.
-27
Express (-26*w + 94*w + 23*w)*(3*w + w - 6*w) as s*w + m + a*w**2 and give a.
-182
Rearrange -10*z + 17*z**2 + 10*z + 16*z**2 to u*z + m*z**2 + x and give m.
33
Express (a - a + 2*a)*(1 - 1 - 2) + (-a + 0*a - a)*(1 + 4 - 6 + (-4 - 2 + 4)*(-3 + 4 - 2)) as t + g*a and give t.
0
Rearrange 6 - 6 + 9*m**2 + 1 + (-4*m + 2*m + m)*(-m + m + m) to the form h*m**2 + w + r*m and give w.
1
Express -251*w + 251*w - 6*w**2 as a + t*w + y*w**2 and give y.
-6
Rearrange (-45 + 45 + 10*y)*(0 - 1 + 2)*(4 - 6 + 4)*(3*y**2 - y**2 - y**2) to the form j + f*y**2 + b*y**3 + v*y and give b.
20
Rearrange -4*r**2 + 8 + 3*r**3 + r**4 + r**2 + r**2 to v*r**2 + x + l*r**3 + n*r + b*r**4 and give l.
3
Rearrange -1 + 0*u**4 + 1 + 4*u + 1 + u**4 to the form d*u**2 + t*u**4 + j + g*u**3 + f*u and give t.
1
Rearrange -11*v + 0*v - 2*v - 6*v**2 + 5*v**2 to x + t*v**2 + c*v and give t.
-1
Rearrange -10*n - n - 19*n + n**2 - 7*n to v*n + a + w*n**2 and give w.
1
Rearrange 4*w + 53 - 2*w**2 - 3*w**3 - 26 - 27 to c + q*w**3 + x*w + p*w**2 and give


0000.
-61000000
Round -0.3061642 to three decimal places.
-0.306
Round 363.8141 to zero decimal places.
364
What is -0.00022651 rounded to four dps?
-0.0002
Round 586.8006 to zero dps.
587
Round -5.7676 to one decimal place.
-5.8
Round -32417.2 to the nearest 10000.
-30000
What is -0.02155587 rounded to 2 dps?
-0.02
Round 165909940 to the nearest one million.
166000000
Round 718.8657 to the nearest integer.
719
What is 73997800 rounded to the nearest one million?
74000000
Round 0.0000544498 to seven dps.
0.0000544
Round 3162.512 to the nearest 1000.
3000
What is 24.4139 rounded to 1 dp?
24.4
What is -0.0000004866336 rounded to 7 dps?
-0.0000005
Round 0.028805 to 3 decimal places.
0.029
What is -130.91965 rounded to 2 decimal places?
-130.92
Round -420.99 to the nearest ten.
-420
What is -0.000382635 rounded to five dps?
-0.00038
What is -46097.525 rounded to the nearest 100?
-46100
Round 0.000000176076 to 7 decimal places.
0.0000002
What is 82564.07 rounded to the nearest 10000?
80000
What is -54942753 rounded to the nearest one hundred thousand?
-54900000
What is -0.00001182554 rounded to 5 dps?
-0.00001
What is 12131260 rounded to the nearest one million?
12000000
What is -1789.958 rounded to the nearest one hundred?
-1800
What is -0.000000743651 rounded to six dps?
-0.000001
What is 0.00003915279 rounded to 6 decimal places?
0.000039
Round 0.001555663 to four dps.
0.0016
What is 136877.64 rounded to the nearest one hundred thousand?
100000
What is -107.9226 rounded to 1 decimal place?
-107.9
Round -210.4 to the nearest one thousand.
0
Round 11.2115 to two dps.
11.21
What is -277311 rounded to the nearest one thousand?
-277000
Round 101863160 to the nearest one hundred thousand.
101900000
What is -1.40474 rounded to two decimal places?
-1.4
Round -0.00038962524 to four decimal places.
-0.0004
Round 253.0414 to 1 decimal place.
253
What is -405.69636 rounded to 1 dp?
-405.7
Round 503953700 to the nearest one million.
504000000
What is 0.00000063052911 rounded to seven decimal places?
0.0000006
What is -0.00009012843 rounded to five dps?
-0.00009
Round -576.57067 to the nearest 100.
-600
Round -0.4923907 to four decimal places.
-0.4924
Round -904610 to the nearest one hundred thousand.
-900000
What is 52.06749 rounded to the nearest ten?
50
What is 0.0099292 rounded to five dps?
0.00993
Round -0.001261181 to 6 decimal places.
-0.001261
What is -0.001085295 rounded to six dps?
-0.001085
Round -87785.08 to the nearest one thousand.
-88000
Round -0.693919 to one decimal place.
-0.7
What is -1.672256 rounded to one dp?
-1.7
What is 0.1883911 rounded to 2 dps?
0.19
Round -633.8599 to 1 dp.
-633.9
What is 26778.7 rounded to the nearest 10?
26780
What is -0.00000480559 rounded to 7 decimal places?
-0.0000048
What is 22636.126 rounded to the nearest ten?
22640
Round -0.01870742 to five dps.
-0.01871
What is -73370.1 rounded to the nearest 100?
-73400
Round 70.12211 to one decimal place.
70.1
What is 0.0009363207 rounded to six dps?
0.000936
Round 13339701 to the nearest 1000000.
13000000
What is -14422396 rounded to the nearest 100000?
-14400000
Round -1523.242 to the nearest 100.
-1500
Round -153.1866 to the nearest integer.
-153
Round 23855800 to the nearest one million.
24000000
What is -22.8399 rounded to the nearest integer?
-23
Round -9.0844 to the nearest ten.
-10
What is -285018.25 rounded to the nearest 100?
-285000
What is 0.000477628 rounded to 4 dps?
0.0005
What is 0.0001455465 rounded to 6 dps?
0.000146
Round -0.003807553 to 6 decimal places.
-0.003808
Round 0.0016483 to six decimal places.
0.001648
What is -0.01165404 rounded to 3 decimal places?
-0.012
Round 1631083 to the nearest one million.
2000000
Round 0.00003202211 to seven decimal places.
0.000032
Round -16630.1 to the nearest ten.
-16630
Round -86015700 to the nearest one million.
-86000000
Round 0.0022855742 to five dps.
0.00229
Round -0.76978 to 2 dps.
-0.77
What is -0.0606866 rounded to 3 dps?
-0.061
Round -34843.48 to the nearest 10.
-34840
What is 8363997 rounded to the nearest 100000?
8400000
Round -0.2300705 to four dps.
-0.2301
Round -0.00524583 to four dps.
-0.0052
What is -0.0003469418 rounded to 6 dps?
-0.000347
Round 15311.81 to the nearest 10000.
20000
Round -0.00000058312 to 6 decimal places.
-0.000001
Round -63206.69 to the nearest 10.
-63210
What is 0.00023001 rounded to four decimal places?
0.0002
Round -63923650 to the nearest one hundred thousand.
-63900000
Round -240.7236 to the nearest 10.
-240
Round -0.00034502907 to 6 dps.
-0.000345
Round -119491200 to the nearest 1000000.
-119000000
Round -146900 to the nearest one million.
0
What is 0.00002192186 rounded to seven dps?
0.0000219
What is -0.000004406012 rounded to 7 dps?
-0.0000044
Round 1540.232 to the nearest 100.
1500
Round 0.18545096 to two dps.
0.19
What is -302905000 rounded to the nearest one million?
-303000000
What is -5025.54 rounded to the nearest one thousand?
-5000
What is 36457745 rounded to the nearest 1000000?
36000000
Round 0.01244572 to five decimal places.
0.01245
Round -17873020 to the nearest one hundred thousand.
-17900000
What is 0.306134 rounded to 2 dps?
0.31
Round -0.550574 to two dps.
-0.55
What is -0.002752166 rounded to 5 dps?
-0.00275
Round -395732000 to the nearest one million.
-396000000
What is 0.0001134523 rounded to 5 dps?
0.00011
Round 124.2272 to the nearest integer.
124
What is -0.0000021264395 rounded to 7 decimal places?
-0.0000021
Round 1.7410439 to two dps.
1.74
What is -77027.12 rounded to the nearest 100?
-77000
Round 0.000004065584 to 6 dps.
0.000004
Round 330648000 to the nearest 1000000.
331000000
What is 118501200 rounded to the nearest one hundred thousand?
118500000
Round 0.3834184 to four decimal places.
0.3834
What is 0.000032940426 rounded to 5 dps?
0.00003
Round -344703000 to the nearest 100000.
-344700000
Round -0.0034237116 to four decimal places.
-0.0034
Round 364590100 to the nearest 1000000.
365000000
Round -7554202 to the nearest 1000.
-7554000
Round 104200730 to the nearest 100000.
104200000
Round 0.0024451539 to three decimal places.
0.002
Round 7.52988 to one decimal place.
7.5
What is -513.425 rounded to the nearest ten?
-510
What is -15831486 rounded to the nearest 1000000?
-16000000
Round -0.00321531 to 5 decimal places.
-0.00322
Round -0.0018406286 to 4 decimal places.
-0.0018
Round -33929.94 to the nearest ten thousand.
-30000
Round -498222.3 to the nearest 100000.
-500000
What is -0.0035517691 rounded to 4 dps?
-0.0036
What is -0.01069077 rounded to three dps?
-0.011
What is -4911724 rounded to the nearest 100000?
-4900000
Round 0.000035260345 to six dps.
0.000035
Round 240828000 to the nearest 1000000.
241000000
Round -1.682019 to 2 dps.
-1.68
Round -0.00000672508 to six dps.
-0.000007
Round 0.558176 to 1 dp.
0.6
What is -921813 rounded to the nearest one thousand?
-922000
What is -2547.42 rounded to the nearest one hundred?
-2500
Round -6.605323 to one decimal place.
-6.6
Round 0.0211953 to three decimal places.
0.021
Round 0.0000629394 to 7 decimal places.
0.0000629
Round 9.20524 to 0 decimal places.
9
Round 62970.17 to the nearest 100.
63000
Round 0.0028235294 to 5 dps.
0.00282
What is -540.3373 rounded to 0 dps?
-540
What is -573.037 rounded to the nearest integer?
-573
What is 0.027561082 rounded to four decimal places?
0.0276
What is 0.1253764 rounded to three decimal places?
0.125
What is 0.6057759 rounded to 1 decimal place?
0.6
Round 192.859 to the nearest 10.
190
Round -0.00000685603 to 6 decimal places.
-0.000007
What is -0.11870232 rounded to 4 decimal places?
-0.1187
Round -814.368 to the nearest ten.
-810
What is -65689000 rounded to the nearest one hundred thousand?
-65700000
Round -0.4972896 to 2 dps.
-0.5
Round -2300410 to the nearest 1000000.
-2000000
Round 4473450 to the nearest 10000.
4470000
Round -0.01303875 to five dps.
-0.01304
Round 11188970 to the nearest 10000.
11190000
What is -0.00028961339 rounded to six dps?
-0.00029
What is -26548300 rounded to the nearest 1000000?
-27000000
Round -34925580 to the nearest one hundred thousand.
-34900000
Round 0.000000421101 to 7 dps.
0.0000004
What is 0.656045 rounded to three decimal places?
0.656
Round -1823.488 to the nearest ten.
-1820
What is -102946 rounded to t


 = -13*z + 3332 - 2682. What is the remainder when 443 is divided by z?
43
Let w(m) = m**2 - m + 119. Let g be -4 + 4 - 0/1. What is the remainder when w(g) is divided by 33?
20
Let o = 6561 - 6525. What is the remainder when 168 is divided by o?
24
Suppose 3*j - 33 = 157*n - 160*n, -5*j - 55 = -5*n. What is the remainder when 54 is divided by n?
10
Let c be -4 + 1 - (2 - 7). Let v be (90/(-24))/(c/(-8)). Calculate the remainder when ((-25)/v)/(5/(-255)) is divided by 44.
41
Suppose -8*d - 7*d = -66 - 54. Calculate the remainder when 546 is divided by d.
2
Let o be (-519)/((3/2)/(-1)). Let b(q) = -q**2 + 84*q + 4841. What is the remainder when (o/4)/((-1)/(-2)) is divided by b(123)?
41
Let y be (-2)/(-4) + (-2)/4. Let p be ((-12)/60*6)/(6/(-20)). Suppose p*q + x = -y*x + 303, 3*x - 309 = -4*q. Calculate the remainder when q is divided by 26.
23
Suppose 106*l + 4*y = 108*l - 144, -5*y - 45 = 0. What is the remainder when l is divided by (-5)/(30/28)*-3?
12
Let b = 30 - 29. Let d be 71/((-1 + 0)/b). Let s = -38 - d. What is the remainder when 262 is divided by s?
31
Suppose 38014*x + 3487 = 38025*x. Calculate the remainder when x is divided by 2.
1
Let f(b) = 1401*b - 3396. Calculate the remainder when f(5) is divided by 43.
40
Suppose -i = 5*d - 6*i - 3 - 12, -i = 0. Calculate the remainder when 235 is divided by d.
1
Let w = 982 + -967. What is the remainder when (-2 - 3)*-7 + 3 is divided by w?
8
Let g(r) = 81*r - 1930. Calculate the remainder when g(29) is divided by 251.
168
Let t(q) = q**3 - 13*q**2 + 12*q + 3. Let v be t(12). Let p(f) = 25*f - 47*f + 21*f + 7. Calculate the remainder when 8 is divided by p(v).
0
Suppose -2*a + a + 20 = -n, 11 = -n - 2*a. Let h be 1/3 - 16/(-6). What is the remainder when (h + 1)/(n/(-8) + -2) is divided by 18?
14
Let l = 32 - 21. Suppose -108 = -3*r - 3. Suppose 3*w = -p + r + 15, -300 = -5*p - 5*w. What is the remainder when p is divided by l?
10
Let i = -26861 - -29157. What is the remainder when i is divided by 457?
11
Let k be 2*(1 - (4 - 25/2)). Suppose 2*t - 7*t = 2*d - k, -t + 5*d = 7. Calculate the remainder when 4/((-8)/6) + 7 + 24 is divided by t.
1
Let j = 3255 + -3124. What is the remainder when j is divided by 94?
37
Let h(s) = -126*s - 2463. Calculate the remainder when h(-21) is divided by 141.
42
Suppose -35*o + 12*o + 506 = 0. What is the remainder when 59 is divided by o?
15
Let j = 18292 + -18238. What is the remainder when j is divided by 1/(2 - 124/64)?
6
Let y(o) = 90*o - 11954. Calculate the remainder when 55757 is divided by y(133).
13
Suppose 28 = -92*y + 96*y. Suppose 5*f + y = 2*j, 5*j + 5*f = 8*f + 46. What is the remainder when 109 is divided by j?
10
Let m(o) = o**2 - 26*o + 38. Let w be m(20). Let v = w + 85. Suppose -v*c = 5*p - 79, -3*c + 42 + 17 = -5*p. Calculate the remainder when 137 is divided by c.
22
Suppose 2*w + 55*w - 2706 = -25*w. Calculate the remainder when 16695 is divided by w.
30
Let m(j) = 3*j**2 + 4*j + 1. What is the remainder when (63/(-15) + 5)/(32/1040) is divided by m(-3)?
10
Let b(t) = -154*t**3 - 28*t**2 - 41*t + 32. What is the remainder when b(-2) is divided by 418?
398
Let q = -932 - -2748. What is the remainder when q is divided by 107?
104
Suppose -s + 200 = 4*s. Suppose 5*k + 24*v - 23*v - 468 = 0, -5*k + 2*v = -474. Calculate the remainder when k is divided by s.
14
Let m = -1534 - -2057. What is the remainder when m is divided by 14?
5
Suppose 433*d - 7380 = 228*d + 164*d. Suppose 2*u - 5*t + 10*t - 146 = 0, -5*u + 323 = 2*t. Calculate the remainder when d is divided by u.
54
Let i(d) = d**2 - 32*d. Let l be i(32). Suppose t - 37 + 24 = l. Suppose 150 = 2*x - 28. What is the remainder when x is divided by t?
11
Let s = 235 + -231. Calculate the remainder when (-20787)/(-164) - 3/s is divided by 33.
27
Let j(s) = 7*s**2 - 4*s - 18. What is the remainder when j(6) is divided by (-285)/(-8) - 699/(-1864)?
30
Let m = -1014 + 1095. Calculate the remainder when 1386 is divided by m.
9
Let s be 9/72 - 1075/(-40). Suppose -352 = s*f - 38*f. Calculate the remainder when 924/6 - (0 + -4) is divided by f.
30
Let y = -8 - -13. Suppose -296*c - 132 = -299*c. Suppose -a + y*a = c. Calculate the remainder when a is divided by 5.
1
Suppose -13*h + 18*h = 585. Suppose -5*v + h = -2*b - 424, -b - 325 = -3*v. What is the remainder when v is divided by 22?
21
Calculate the remainder when 194 is divided by 1*((-21400)/(-280) - (-3)/(-7)).
42
Let a = -1690 - -1737. Let v be ((-2)/3)/(1/(-3)). Suppose s - v*k = 13, -4*s + 5*k = -5*s + 20. Calculate the remainder when a is divided by s.
2
Suppose -11*b - 12*b + 9*b = -2954. What is the remainder when 479 is divided by b?
57
Let s(n) = n**3 - 10*n**2 - 18*n + 25. Let k be s(9). Let i = 268 + k. Calculate the remainder when i is divided by 26.
24
Let g(n) = -2*n**3 + 2*n**2 - 5. Calculate the remainder when g(-3) is divided by 21.
4
Let j = -175 + 174. Calculate the remainder when 320 is divided by (1 - -18)*(-1 - (j - 1)).
16
Let r(l) = 213*l - 5517. Let f(t) = 14*t**2 - 3*t - 2. Calculate the remainder when f(-2) is divided by r(26).
18
Suppose -72 = 18*k - 24*k. Calculate the remainder when 25 is divided by k.
1
Let b be -2*(-1*2 + 6147/18). Let a = -614 - b. What is the remainder when a is divided by 46?
19
Let f(l) = -l**3 - 10*l**2 - 34*l - 170. What is the remainder when f(-10) is divided by 1 + 3 + 2 + 37?
41
Let r(j) = 2361*j + 14172. Calculate the remainder when 98 is divided by r(-6).
2
Let x = 12727 - 12714. Calculate the remainder when 89 is divided by x.
11
Let n(a) = -a**3 - 3*a**2 + 5*a - 1. Let t(k) = 9*k**2 - k. Let h = -88 + 87. What is the remainder when n(-5) is divided by t(h)?
4
Let j = -40 - -44. Suppose -2*r + j*r - 5*d - 20 = 0, 2*r + 3*d - 20 = 0. Let g = -673 - -689. What is the remainder when g is divided by r?
6
Suppose 2548 + 1377 = 20*w + 705. What is the remainder when w is divided by 80?
1
Let u be (3 - 4 - -27)*-1. Let o = u - -49. Let a(k) = -k**3 - 6*k**2 + 25*k - 9. Calculate the remainder when o is divided by a(-9).
5
Let c(z) = 4*z - 6. Let u be c(3). Suppose p = u*p - 20. Suppose 4*s - 42 = -3*x + 8, -5*s + p*x + 47 = 0. Calculate the remainder when s is divided by 6.
5
Let p be 4/10 - (-96)/(-240). Suppose 3*r + 5*n - 2134 = -r, p = -5*n + 10. Calculate the remainder when r is divided by 38.
37
What is the remainder when (8/10)/(4/20) - 30450/(-25) is divided by 17?
15
Calculate the remainder when (108/15)/(8/30) is divided by 1.
0
Suppose c = 2*j + 40, -88 = -2*c - 190*j + 186*j. Calculate the remainder when c is divided by (6/8)/(1/8).
0
Let q be -6 - 0 - 2247/(-7). Let i = q + -215. What is the remainder when i is divided by 21?
16
Let s(v) = 1117*v**2 + 100*v - 185. Calculate the remainder when s(2) is divided by 38.
37
Suppose 10*q = 6*q - 56. What is the remainder when q/(-49) + 1548/21 is divided by 30?
14
Let u(f) = 2*f**2 + 27*f - 3. Suppose 5*i + 95 = -5*p, 0 = -2*p - 1 - 7. What is the remainder when 208 is divided by u(i)?
40
Let u(c) = 2*c**2 - 62*c - 248. Let z(a) = 4*a**2 + 3*a - 2. Calculate the remainder when z(-6) is divided by u(-4).
28
Suppose -36*p + 35*p + 3 = 0. Suppose p = -n - 0, -3*n = -o + 16. Suppose -3*x + 35 = 2*l, 2*l = o*l - 4*x - 30. What is the remainder when 109 is divided by l?
9
Suppose x - u - 1692 = -4*u, -5*x = -2*u - 8324. What is the remainder when x is divided by 18?
12
Suppose -3*k = -3*f - 135, -2*f = -4*k + 75 + 101. Suppose -33*r = -k*r + 140. Calculate the remainder when 24 is divided by r.
10
Let q = 3019 - 2992. What is the remainder when 457 is divided by q?
25
Suppose -32*x + 1289 = -2327. What is the remainder when x is divided by 67?
46
Suppose 4050 = -20*n + 50*n. Calculate the remainder when 261 is divided by n.
126
Let f be ((-4)/6 - (-32)/(-6)) + -521. Let o = f + 594. Calculate the remainder when o is divided by 5.
2
Suppose 778*v - 464 = 770*v. Let i = 211 + -75. What is the remainder when i is divided by v?
20
Suppose -z + 4*z - 618 = 0. Let r = z - 101. Suppose -3*p = -0*p - 54. What is the remainder when r is divided by p?
15
Let d = -363 + 371. What is the remainder when (d + -9)/((-2)/166) is divided by 22?
17
Let s = -597 - -2213. Calculate the remainder when (1 - 0)/(16/s) is divided by 22.
13
Suppose 12*