= -8 + 10. Suppose 3*b - 8 + j = 0. Factor 0*t**4 + 2*t**b + 0*t**4 - 2*t**3 + 2*t**5 - 2*t**4.
2*t**2*(t - 1)**2*(t + 1)
Factor 6/7*a**3 + 384/7*a + 12*a**2 + 576/7.
6*(a + 4)**2*(a + 6)/7
Let x(r) = -7*r**2 - 13*r - 24. Let w(f) = 20*f**2 + 40*f + 72. Let i(c) = 3*w(c) + 8*x(c). Let u(m) = m**2 + m + 1. Let g(d) = -i(d) + 12*u(d). Factor g(a).
4*(a + 1)*(2*a - 3)
Suppose -4*t - 3*g + 66 - 60 = 0, -5*t + 25 = -5*g. Let o(r) be the first derivative of -1 + 0*r + 8/27*r**t - 1/9*r**2. Factor o(m).
2*m*(4*m - 1)/9
Factor 0 + 0*o + 0*o**3 + 0*o**2 + 2/3*o**5 + 2/3*o**4.
2*o**4*(o + 1)/3
Let m(w) = -8*w - 28. Let d be m(-5). Factor 9*b - 29*b + 31*b**3 - 15*b**2 + 7*b**4 + 20 - d*b**4 - 11*b**3.
-5*(b - 2)**2*(b - 1)*(b + 1)
Let r be (-253)/115 + 0 + 3. Let z(l) = -l**3 - 5*l**2 - 4*l + 2. Let o be z(-4). Suppose 1/5 - m + r*m**o = 0. What is m?
1/4, 1
Solve -9/8*a**2 + 9/8 + 1/8*a - 1/8*a**3 = 0.
-9, -1, 1
Let r(c) = -52*c**4 - 204*c**3 - 264*c**2 - 104*c. Let p(m) = -18*m**4 - 68*m**3 - 88*m**2 - 35*m. Let l(g) = -8*p(g) + 3*r(g). Find h, given that l(h) = 0.
-4, -1, -2/3, 0
Let a = -622 + 624. Find h such that -2/3*h**2 - 4/3 + a*h = 0.
1, 2
Let l(b) be the second derivative of b**4/36 + 2*b**3/3 - 13*b**2/6 - 2*b - 26. Factor l(r).
(r - 1)*(r + 13)/3
Let g be (-16)/(-6) - ((-4)/(-6) - 1). Let x = -29 + 31. Factor 0*z - 4/7*z**g + 2/7*z**x + 0.
-2*z**2*(2*z - 1)/7
Suppose -3*i + 4*n = 0, -4*n + 28 = 16. Solve 0*s**2 + 4/5*s**i + 0*s - 2/5*s**5 + 0*s**3 + 0 = 0.
0, 2
Let g(u) = 18*u - 5 + 4 - 19*u. Let i(y) = -2*y**2 - 4*y**2 - 7 - 5*y + 0*y. Let v(c) = 18*g(c) - 2*i(c). Factor v(s).
4*(s - 1)*(3*s + 1)
Let x(d) be the first derivative of -d**4/16 - d**3/12 + 5*d**2/8 - 3*d/4 + 132. Suppose x(q) = 0. Calculate q.
-3, 1
Let i(s) = s**2 + 5*s + 2. Let d be i(-5). Let n be 46/14 - 10/35. Factor -3*q**n - 6*q**4 + q**d + 9*q**5 - 6*q**5 + 5*q**2.
3*q**2*(q - 2)*(q - 1)*(q + 1)
Let a be 5/3 - 2 - 528/36. Let y be (6/a)/((-6)/30). Let 2/9*p**4 + 0*p - 4/9*p**y + 0*p**3 + 2/9 = 0. Calculate p.
-1, 1
Let u(k) = -13*k**3 - 41*k**2 - 43*k + 3. Let y(g) = 31*g**3 + 83*g**2 + 87*g - 7. Let i(f) = 7*u(f) + 3*y(f). Factor i(w).
2*w*(w - 20)*(w + 1)
Let x = -1640 + 6561/4. Suppose 0*r**2 + x*r**3 - 1/2 - 3/4*r = 0. What is r?
-1, 2
Suppose -3 = -3*g + t, -5*g - 2*t - 6 = -4*g. Let h(a) be the third derivative of g + 1/16*a**4 + 1/80*a**5 - 3/8*a**3 + 0*a + 2*a**2. Factor h(k).
3*(k - 1)*(k + 3)/4
Let c be -5*(6/2 - 4/20). Let q be (c/49)/(-4 - (-14)/4). Solve 12/7*a + q*a**3 + 12/7*a**2 + 4/7 = 0 for a.
-1
Let x(k) = k + 10. Let h be x(0). Let v be (-15)/h*(-8)/3. Factor -3*w**2 + w**4 - w - w**3 + 2*w**5 + 0*w**v + 2*w**4.
w*(w - 1)*(w + 1)**2*(2*w + 1)
Let p(d) = 4*d**3 - 183*d**2 - 187*d - 5. Let s(o) = -10*o**3 + 458*o**2 + 468*o + 12. Let c(i) = -12*p(i) - 5*s(i). Suppose c(g) = 0. What is g?
-1, 0, 48
Let r be (-2)/(2/(-3)) - 176/60. Let s(q) be the second derivative of r*q**4 + q - 4/5*q**2 - 2/15*q**3 + 0. Factor s(u).
4*(u - 2)*(u + 1)/5
Let o(g) = 10*g**3 - 30*g**2 + 20*g. Let k(m) = 6*m**3 + 13*m - 5*m - 12*m**2 - 2*m**3. Let l(v) = -12*k(v) + 5*o(v). Solve l(s) = 0 for s.
0, 1, 2
Suppose -116 = 63*o - 92*o. Let y(i) be the third derivative of -1/30*i**o - 4*i**2 - 2/15*i**3 - 1/300*i**5 + 0*i + 0. Let y(m) = 0. Calculate m.
-2
Let t(p) be the third derivative of p**5/270 - 5*p**4/18 + 25*p**3/3 - 7*p**2 + 2*p. Determine b so that t(b) = 0.
15
Let n(s) be the second derivative of 4*s**7/105 + s**6/75 - 2*s**5/25 - s**4/30 - 115*s. Let n(b) = 0. Calculate b.
-1, -1/4, 0, 1
Suppose i - 4*i = -9. Factor 3*n + 3*n**2 + 3*n**3 - i*n + n**4 + n + 0*n**2.
n*(n + 1)**3
Factor 18*b + 0 - 2/3*b**4 - 18*b**2 + 6*b**3.
-2*b*(b - 3)**3/3
Suppose -31 = -3*d + 5*j, d = -j + 3*j + 12. Factor 5*u**d - 16*u - 44*u**3 + 4*u**4 + 43*u**2 + 10*u**4 - 2*u**4.
4*u*(u - 2)*(u - 1)*(3*u - 2)
Let q be 508/14 - 8/28. Let a = -36 + q. Factor 0 + a*t - 2/5*t**3 - 4/5*t**2.
-2*t**2*(t + 2)/5
Suppose -4 = -2*j + 5*f - 3, 0 = -4*f + 4. Factor -b**4 - 2*b**j + 4*b - 607 + 608 - 2*b.
-(b - 1)*(b + 1)**3
Factor -27*s**2 + 26*s**2 - 3*s**3 + 4*s**3 - 2*s + 0*s.
s*(s - 2)*(s + 1)
Let b(c) be the third derivative of -c**5/300 + 41*c**4/60 - 1681*c**3/30 + 209*c**2 + 2*c. Factor b(v).
-(v - 41)**2/5
Let f = -1866 - -1866. Let p(j) be the third derivative of -7/120*j**6 - 12*j**2 + 1/3*j**3 + f + 4/15*j**5 - 11/24*j**4 + 0*j. Suppose p(w) = 0. Calculate w.
2/7, 1
Let t = 63 + -51. Factor t*y + y**2 + 0*y**2 + y**2.
2*y*(y + 6)
Let k be (0 - 4) + 8 + -1. Suppose 0 = 4*l - 6*j + 4*j - 12, 6 = k*l - 3*j. Solve 5 + 4*f - 5 - l*f**3 = 0 for f.
-1, 0, 1
Factor 481/7*k - 240/7 + 1/7*k**3 - 242/7*k**2.
(k - 240)*(k - 1)**2/7
Let a = -8239/10 + 824. Let o(s) be the first derivative of 1/15*s**6 - a*s**4 - 22/15*s**3 + 2 - 8/5*s - 12/5*s**2 + 6/25*s**5. Factor o(u).
2*(u - 2)*(u + 1)**3*(u + 2)/5
Let s(p) be the first derivative of p**5/15 - 5*p**4/6 + 32*p**3/9 - 19*p**2/3 + 5*p + 47. Solve s(y) = 0 for y.
1, 3, 5
Factor -4/11*m**2 - 6/11*m**3 + 0*m + 0 - 2/11*m**4.
-2*m**2*(m + 1)*(m + 2)/11
Let 341*f**3 - 672*f**3 + 6 + 6 + 43*f**2 - 16*f**2 + 33*f + 334*f**3 - 3*f**4 = 0. What is f?
-1, 4
Let i(b) be the second derivative of -b**6/15 + b**5/5 + b**4/2 - 8*b**3/3 + 4*b**2 - 5*b + 1. Factor i(t).
-2*(t - 2)*(t - 1)**2*(t + 2)
Let d(j) be the third derivative of j**5/30 + 5*j**4/6 - 11*j**3/3 - j**2 + 12*j. Factor d(c).
2*(c - 1)*(c + 11)
Let n(g) be the second derivative of 0 + 24*g + 2/3*g**3 + 0*g**2 - 5/6*g**4 - 1/15*g**6 + 2/5*g**5. Solve n(b) = 0.
0, 1, 2
Suppose 781*v**3 + 8*v**2 - v**4 - 2*v**2 + 4*v**4 - 772*v**3 = 0. What is v?
-2, -1, 0
Let x(r) be the third derivative of r**7/315 - r**6/18 + 37*r**5/90 - 5*r**4/3 + 4*r**3 - 80*r**2. Factor x(l).
2*(l - 3)**2*(l - 2)**2/3
Let r(x) be the first derivative of 0*x + 1/9*x**4 + 0*x**2 + 1/540*x**6 - 2 - 1/3*x**3 + 1/45*x**5. Let u(n) be the third derivative of r(n). Factor u(m).
2*(m + 2)**2/3
Let n(k) be the third derivative of 12*k**2 + 11/30*k**6 + 0 + 0*k - 4/35*k**7 - 2*k**4 - 2/15*k**5 + 16/3*k**3 + 1/84*k**8. Factor n(v).
4*(v - 2)**3*(v - 1)*(v + 1)
Let v(r) be the third derivative of -r**6/30 - 11*r**5/15 + 25*r**4/6 - 26*r**3/3 - 9*r**2 - 2*r. Solve v(c) = 0.
-13, 1
Suppose -q = 2*a - 7, -1 = -3*q - 0*q - a. Let d(m) = -5*m**2 + 25*m - 34. Let y(l) = -1. Let h(s) = q*d(s) + 4*y(s). Suppose h(v) = 0. Calculate v.
2, 3
Let b be (6/8)/((-69)/(-276)). Let t(j) be the first derivative of -3/10*j**4 - 8 + 0*j**b + 3/5*j - 3/25*j**5 + 3/5*j**2. Find z such that t(z) = 0.
-1, 1
Let q be ((-93)/(-31))/(12/8). Let p(s) be the third derivative of 1/20*s**6 + 1/6*s**4 - 1/6*s**5 + 0 + 0*s + 0*s**3 - 4*s**q. Solve p(n) = 0.
0, 2/3, 1
Let m(q) be the second derivative of 11*q**4/6 + 32*q**3/3 - 3*q**2 - 339*q. Find v such that m(v) = 0.
-3, 1/11
Suppose 9*n = -5 - 13. Let b(j) = -7*j**4 - j**3 - 4*j**2 + 5*j - 5. Let s(i) = 3*i**4 + i**3 + 2*i**2 - 2*i + 2. Let v(x) = n*b(x) - 5*s(x). Factor v(q).
-q**2*(q + 1)*(q + 2)
Let h = 89/144 - -13/48. Suppose 10*n - 21 + 1 = 0. Suppose h*v**4 - 2/9*v - 8/9*v**n + 0 + 2/9*v**3 = 0. Calculate v.
-1, -1/4, 0, 1
Let c = 2 - -1. Let t be c/1 + -3 - -2. Factor t*m**2 + 6*m**4 - 6*m**3 - 1 - 2*m**5 + 1.
-2*m**2*(m - 1)**3
Factor -3*r**2 + 4*r**3 - 6*r**3 + 57*r**2.
-2*r**2*(r - 27)
Factor 112/17*b - 2/17*b**2 + 114/17.
-2*(b - 57)*(b + 1)/17
Let p(b) be the second derivative of -1/10*b**5 + 0*b**2 + 30*b - 1/63*b**7 + 1/18*b**4 + 1/15*b**6 + 0*b**3 + 0. Factor p(z).
-2*z**2*(z - 1)**3/3
Determine f, given that -6*f**2 + 8*f**4 - 17/2*f - 2 + 3/2*f**5 + 7*f**3 = 0.
-4, -1, -1/3, 1
Let h = -134 + 136. Suppose -4*g = -h*j - j, -g = -3*j. Factor 2/11*p**2 + g*p - 2/11*p**4 + 0 + 0*p**3.
-2*p**2*(p - 1)*(p + 1)/11
Let x(c) = 4*c**3 - c**2 - 2*c + 3. Let t be (8/(-44))/((-2)/22). Let b(w) = 0*w - w**3 - 1 + 0*w. Let u(j) = t*x(j) + 6*b(j). Find l, given that u(l) = 0.
-1, 0, 2
Let y(v) be the first derivative of -1/3*v**3 - 1/16*v**4 - 3/2*v + 13 + 11/8*v**2. Factor y(l).
-(l - 1)**2*(l + 6)/4
Let o be -3 + ((-8316)/81)/(-22). Determine h so that -40/3*h**3 - o*h**4 + 100/3 + 20/3*h - 25*h**2 = 0.
-5, -2, 1
Factor 0*w + 0 - 1/2*w**3 - 29/2*w**2.
-w**2*(w + 29)/2
Suppose 4*q - 2 = -3*z, -q + 8 = 3*z + 3. Let 0 