16*m**2 = 0. Calculate m.
-26, 1
Suppose -3*g = -f + 897 + 300, -4*g + f = 1596. Let h be 15/9 - 190/g. Solve 0 - 3/7*m**4 + 12/7*m**3 + 6/7*m - h*m**2 = 0.
0, 1, 2
Solve 132*q**2 - q**5 - 89*q**3 + 201*q**2 - 134*q**2 + 392 + 447*q**2 - 924*q - 24*q**4 = 0 for q.
-14, 1, 2
Let p(r) = -r**3 + 26*r**2 - 50*r + 50. Let k be p(24). Factor -4/7*q**k + 16/7 - 2/7*q**3 + 8/7*q.
-2*(q - 2)*(q + 2)**2/7
Let g = 332/29 - 2266/203. Suppose -4/7*n**2 + 12/7 + g*n = 0. Calculate n.
-3/2, 2
Let l(y) be the second derivative of 0 + 1/6*y**3 - 1/84*y**4 - 3/7*y**2 + 19*y. Let l(z) = 0. What is z?
1, 6
Let u(t) be the third derivative of -t**6/120 - 5*t**5/3 - 625*t**4/6 - t**2 + 4*t. Determine v so that u(v) = 0.
-50, 0
Let c(d) be the second derivative of -6*d + 0*d**3 + 1/6*d**6 + 0 + 0*d**2 + 1/2*d**5 + 5/12*d**4. Factor c(o).
5*o**2*(o + 1)**2
Suppose -10*y + 3*y - 84 = 0. Let f be 2*(y/4 + 4). Solve 8*n**f - 5*n - 4*n**4 + 7*n**4 + 8*n + 9*n**3 + n**2 = 0.
-1, 0
Let w(t) be the second derivative of t**6/315 - t**5/210 - t**4/21 - 5*t - 21. Factor w(u).
2*u**2*(u - 3)*(u + 2)/21
Suppose 16/7*r + 20/7*r**2 - 20/7*r**4 + 0 + 36/7*r**5 - 52/7*r**3 = 0. What is r?
-1, -4/9, 0, 1
Let o be -3 - (685/(-195) + 8/(-52)). Factor 4/3*f**2 + 2/3*f - o*f**3 - 4/3.
-2*(f - 2)*(f - 1)*(f + 1)/3
Let w be 1 + (-36)/20 - 38/(-10). Determine b, given that b**3 + 2*b + b**2 + b**w - 4*b**3 + b**4 - 2*b**4 = 0.
-2, -1, 0, 1
Let m be (-20)/4 + 6 - (3 + -2). Let v(p) be the third derivative of 0*p**3 + 0 - p**2 + m*p + 0*p**5 + 1/60*p**6 + 0*p**4. Factor v(x).
2*x**3
Let a be 7 - (-7 + 16 + -5). Let b(t) be the first derivative of 0*t**2 - 3/2*t**6 - 3/4*t**4 - t**3 - a + 3*t**5 + 0*t. Factor b(h).
-3*h**2*(h - 1)**2*(3*h + 1)
Factor -5/4*n**2 - 95/4*n + 0.
-5*n*(n + 19)/4
Let m = 1436/2145 + -2/715. Let v(c) be the first derivative of 2*c - m*c**3 + 6 + 0*c**2. Solve v(s) = 0.
-1, 1
Let m(p) be the second derivative of p**7/21 - 2*p**6/15 - p**5/10 + p**4/3 - 2*p - 122. Suppose m(b) = 0. What is b?
-1, 0, 1, 2
Let s = -772/9 - -86. Let t be 24*(-6)/168 + 40/14. Find z such that 0 + 4/9*z**3 + 0*z - 2/9*z**4 - s*z**t = 0.
0, 1
Suppose -2*w - 24 = -4*h - 3*w, -3*h + 3*w = -3. Let y be 1/(-2)*(-100)/10. Factor 6*p**2 + 3*p - p**5 + h*p**3 - 6*p**4 - 2*p**y - 5*p**3.
-3*p*(p - 1)*(p + 1)**3
Let q(c) be the third derivative of 7*c**6/480 - 41*c**5/240 + 5*c**4/16 + 255*c**2. Factor q(x).
x*(x - 5)*(7*x - 6)/4
Let p = 2251 - 11247/5. Factor -2/5*o + 8/5*o**2 + 2/5*o**3 - p.
2*(o - 1)*(o + 1)*(o + 4)/5
Let l(v) be the first derivative of 4*v**3/27 - 20*v**2/9 + 4*v - 9. Let l(d) = 0. What is d?
1, 9
Let w(q) be the second derivative of 2/33*q**4 + 1/231*q**7 + 2*q + 0*q**3 + 0*q**2 - 2/55*q**5 - 1/165*q**6 + 0. Solve w(s) = 0 for s.
-2, 0, 1, 2
Let k(g) be the second derivative of 1/20*g**5 - 2*g + 3/8*g**4 - 3*g**2 + 0 + g**3. Let m(d) be the first derivative of k(d). Factor m(w).
3*(w + 1)*(w + 2)
Suppose 4*f = -4*q + 36, 2*q + 29 = 3*f + 4*q. Let k = -7 + f. Suppose -2*x + 0*x**3 - 2*x**4 + 12*x**3 - 5*x**k + 0*x**2 - 3*x**2 = 0. Calculate x.
-2/7, 0, 1
Let r(u) be the first derivative of 6*u**3 + 3/2*u**6 - 6*u**4 - 6/5*u**5 - 12*u + 10 + 15/2*u**2. Factor r(l).
3*(l - 1)**3*(l + 1)*(3*l + 4)
Let a(j) be the third derivative of j**7/350 - j**6/10 + 39*j**5/50 + 11*j**4/2 + 121*j**3/10 + 5*j**2. Factor a(r).
3*(r - 11)**2*(r + 1)**2/5
Let j(x) be the third derivative of 25*x**6/12 + 43*x**5/20 - 41*x**4/8 - x**3/3 - 3*x**2 - 57. Determine y, given that j(y) = 0.
-1, -2/125, 1/2
Let a be ((-17)/(-51) - (-34)/(-30)) + 2. Let 8/5*g**2 - 4/5*g**4 + 8/5*g + 0 - a*g**3 + 2/5*g**5 = 0. What is g?
-1, 0, 2
Suppose 55*o + 41 = 41. What is d in 0 + 1/5*d**2 + o*d = 0?
0
Let t(q) = -7*q**4 + 9*q**2 + 8*q + 3. Let j(x) = -8*x**4 + 8*x**2 + 8*x + 4. Let b(d) = 3*j(d) - 4*t(d). Suppose b(s) = 0. Calculate s.
-1, 0, 2
Suppose -240*n**3 + 391*n**2 + 13872*n + 244*n**3 + 17*n**2 + 157216 = 0. Calculate n.
-34
What is l in 1274/3*l**4 - 161*l**3 - 1028/3*l**2 - 343/3*l**5 - 64 + 880/3*l = 0?
-1, 4/7, 3
Let b(v) be the first derivative of 19*v**7/280 + 13*v**6/360 - v**5/3 + v**4/6 + 5*v**3/3 - 25. Let u(y) be the third derivative of b(y). Factor u(p).
(p + 1)*(3*p - 2)*(19*p - 2)
Let p be ((-54)/15)/(-6) + 44/10 - 2. Let 1/8*t**2 - 1/4*t**p + 1/8*t**4 + 0 + 0*t = 0. Calculate t.
0, 1
Let q(l) be the third derivative of -l**6/300 + 61*l**5/50 - 3721*l**4/20 + 226981*l**3/15 - 35*l**2. Solve q(i) = 0.
61
Factor 40*d + 45*d + 32 + 34*d - 4*d**2 - 91*d.
-4*(d - 8)*(d + 1)
Let t(g) be the third derivative of -g**5/180 - 13*g**4/18 - 50*g**3/9 + g**2 - 934. Suppose t(c) = 0. What is c?
-50, -2
Let h(c) be the first derivative of -2*c**5/5 - 3*c**4 - 8*c**3 - 8*c**2 + 237. Factor h(j).
-2*j*(j + 2)**3
Suppose 0*v - 11 = -d - 4*v, 0 = -3*v. Let h = 35 - d. Determine o, given that o**3 + 3*o**3 + h*o**4 + 2*o**2 - 22*o**4 = 0.
-1, 0
Let z be -1*6 - (-180830)/1352. Find c such that 25/4*c**5 + 50*c + 7 + 559/4*c**3 + z*c**2 + 245/4*c**4 = 0.
-7, -1, -2/5
Let i be (1 - -1) + -18 + 1 + 15. Let s(h) be the third derivative of i*h - 1/66*h**4 + 0 - 10*h**2 + 0*h**3 - 1/330*h**5. Factor s(y).
-2*y*(y + 2)/11
Let v(m) be the third derivative of -2*m**5/9 - 121*m**4/72 - 7*m**3/3 + 269*m**2. Factor v(t).
-(5*t + 2)*(8*t + 21)/3
Suppose 2*s - d - 16 - 11 = 0, -2*d + 66 = 4*s. Let p(j) = -5*j**3 - 5*j**2 + 5*j + 20. Let c(q) = -q**2. Let o(h) = s*c(h) + p(h). Factor o(m).
-5*(m - 1)*(m + 1)*(m + 4)
Let k(a) be the third derivative of a**9/151200 - a**8/5600 + a**7/840 + a**6/72 + 9*a**5/20 - a**2. Let g(z) be the third derivative of k(z). Factor g(n).
2*(n - 5)**2*(n + 1)/5
Let n be -1*(-5 + 1)*3/4. Determine h so that -4*h - 2*h**2 - 5*h**2 + n*h**2 = 0.
-1, 0
Let h(i) = -2*i - 10. Let n be h(-6). Let k - 8*k**3 + 17*k**3 - 1 - 7*k**3 - 3*k**3 + k**n = 0. Calculate k.
-1, 1
Let s(y) be the first derivative of 1/2*y**2 + 1/24*y**4 - 1/120*y**5 + 0*y + 0*y**3 + 3. Let z(q) be the second derivative of s(q). Solve z(a) = 0 for a.
0, 2
Suppose 260 = -96*h + 161*h. Factor -4/3*j**h - 4/3*j**3 + 2/3 + 2/3*j**2 - 1/3*j**5 + 5/3*j.
-(j - 1)*(j + 1)**3*(j + 2)/3
Let p(h) = -h + 1. Let v(y) = y**2 + y - 2. Let j(x) = p(x) + v(x). Let r(l) = 2*l**2 + 6*l - 12. Let g(o) = -6*j(o) + 2*r(o). Factor g(z).
-2*(z - 3)**2
Suppose -c - 5*i - 7 = -0*c, -4*c - 3*i = -6. Factor 30*w - 10*w + 5*w**c - 4*w**2 - 14*w**2 - 2*w**2.
5*w*(w - 2)**2
Suppose -t + 15 = 13. Factor -2 - w**3 + t*w**2 - 6 + w**3 - 2*w**3 + 8*w.
-2*(w - 2)*(w - 1)*(w + 2)
Let q(z) = z + 7. Let n be q(-6). Let s(j) = 13*j + 3. Let c be s(n). Determine u so that -c + 25*u + 4*u**4 - 2*u**4 - 4*u**2 + 0*u**4 - 6*u**3 - u = 0.
-2, 1, 2
Factor 4*o**3 + o**4 - 7786*o**2 + 7794*o**2 - 5*o**4.
-4*o**2*(o - 2)*(o + 1)
Let j = -809 + 812. Let g(d) be the second derivative of 0*d**2 - 1/3*d**3 + 1/10*d**5 + 0*d**4 + j*d + 0. Factor g(v).
2*v*(v - 1)*(v + 1)
Let x(u) be the second derivative of 36 - 1/36*u**4 + 2/9*u**2 + 2*u - 1/270*u**6 + 2/27*u**3 - 1/45*u**5. Solve x(h) = 0.
-2, -1, 1
Let n be ((-21)/(-4))/7*(-12)/(-3). Factor -55*y**2 - n*y - 10*y + 8*y - 180*y**3 - 80*y**4 + 320*y**5.
5*y*(y - 1)*(4*y + 1)**3
Let v(u) = 3*u + 11. Let g be v(5). Let f = 28 - g. Factor -3*d**f + 5*d + 0*d - 7*d.
-d*(3*d + 2)
Let g = -55 - -58. Solve -262*k**4 + k**3 - 20*k + 258*k**4 + 8 + 12*k**2 + g*k**3 = 0.
-2, 1
Let h(p) be the first derivative of -33/5*p**2 - 4 - 12/5*p + 12/5*p**3. Factor h(v).
6*(v - 2)*(6*v + 1)/5
Let c(x) be the second derivative of 0*x**5 + 1/75*x**6 + 0*x**3 + 0*x**2 + 19*x + 0 + 0*x**4. Factor c(o).
2*o**4/5
Let s be 25/9 + 2/(-18)*-2. Let u(v) be the first derivative of 12/5*v + 6/5*v**2 + 1/5*v**s + 1. Factor u(o).
3*(o + 2)**2/5
Let a be (-38)/(-76) + 1/4. Let v be (2 - (-27)/(-12))*-1. Suppose v - 3/4*m - 1/4*m**3 + a*m**2 = 0. What is m?
1
Let f(g) = -7*g + 4. Let u(w) = 15*w - 8. Let t(h) = 13*f(h) + 6*u(h). Let d be t(-2). Factor 2*x**2 - d*x**4 - 24*x**3 + 10*x**2 + 21*x**4 - 3*x**5.
-3*x**2*(x - 2)**2*(x - 1)
Let c(h) be the second derivative of h**6/135 - h**5/10 + 11*h**4/54 + 7*h**3/9 + 729*h. Factor c(f).
2*f*(f - 7)*(f - 3)*(f + 1)/9
Factor -76 - 170 + 240*d - d**4 - 320 - 60*d**3 + 6*d**4 - 154 + 160*d**2.
5*(d - 6)**2*(d - 2)*(d + 2)
Suppose 