/2*b**3 + 100*b - 171/2*b**2.
-(b + 3)*(9*b - 4)**2/2
Suppose 2*x + 1 - 5 = 0. Factor 0*j**x + 10*j**2 + j**4 - 14*j**3 - j**3 + 4*j**4.
5*j**2*(j - 2)*(j - 1)
Suppose 0 + 5547*g - 129*g**2 + 3/4*g**3 = 0. Calculate g.
0, 86
Let w(r) = 27 - 7 - 8*r**2 - 13*r**2 - 34*r**2. Let h(q) = 54*q**2 + q - 19. Let m(d) = 5*h(d) + 4*w(d). Factor m(v).
5*(2*v - 1)*(5*v + 3)
Factor -1/3*n**4 - 32/3 + 2*n**2 + 32/3*n - 5/3*n**3.
-(n - 2)*(n - 1)*(n + 4)**2/3
Let v be ((-4)/1)/12*-6. Factor -2*c**2 - 9 + 4*c**3 + 10*c**v - 4*c**4 + 9.
-4*c**2*(c - 2)*(c + 1)
Determine f so that 8 + 1629*f - 3255*f - 2*f**2 - f**3 + 1630*f = 0.
-2, 2
Let f = -98 - -100. Let h be (-68)/(-680) + (f/(-2) - -1). Factor 1/5*k**3 + 0 + 0*k + h*k**2.
k**2*(2*k + 1)/10
Let f(n) = 2*n + 0*n**5 + 4*n**4 - 1 - n**5 - 9*n**2 - 1 - n**3 + 7*n**2. Let z(l) = -l**4 - l**3 + l + 1. Let h(t) = -f(t) - z(t). Factor h(g).
(g - 1)**4*(g + 1)
Let y(v) be the third derivative of v**7/280 + v**6/8 + 15*v**5/8 + 125*v**4/8 - 5*v**3/3 + 11*v**2. Let g(z) be the first derivative of y(z). Factor g(p).
3*(p + 5)**3
Let i = -37462 + 187311/5. Solve i*q**2 + 6/5*q - 7/5 = 0.
-7, 1
Let g(d) be the first derivative of -28*d**3 + 32*d**2 - 12*d + 129. Suppose g(y) = 0. What is y?
1/3, 3/7
Factor -o**4 - 4*o**3 + 3*o**4 - o**4 + 4*o - 6*o**3 + 6*o - o**2.
o*(o - 10)*(o - 1)*(o + 1)
Let n be (1/(-65)*6)/((-45)/75). Factor 50/13 + 20/13*v + n*v**2.
2*(v + 5)**2/13
Let c be (5 - 12)/21 - 512/(-6). Let f = c + -82. Factor 0 - 4/11*z + 6/11*z**2 - 2/11*z**4 + 0*z**f.
-2*z*(z - 1)**2*(z + 2)/11
Let j(o) be the third derivative of -o**7/350 - o**6/200 + 7*o**5/100 + o**4/40 - 3*o**3/5 - 2*o**2 - 22*o. Let j(r) = 0. Calculate r.
-3, -1, 1, 2
Let n(h) = 6*h - 2. Let l be n(-10). Let q = l + 187/3. Find b such that -1/3*b**2 - q*b + 2/3 = 0.
-2, 1
Let n(z) be the third derivative of -z**7/840 + z**6/240 - 264*z**2. Suppose n(w) = 0. What is w?
0, 2
Factor 8/3*k**4 + 0 - 8/3*k**2 - 4/3*k**5 + 0*k**3 + 4/3*k.
-4*k*(k - 1)**3*(k + 1)/3
Find w, given that 948*w**3 + 7*w**4 - 8*w - 4*w**5 - 7*w**2 + 3*w**5 - 939*w**3 = 0.
-1, 0, 1, 8
Suppose -84*o - 721778*o**2 + 4*o**3 + 80 + 721778*o**2 = 0. What is o?
-5, 1, 4
Find r such that 119/2*r**2 - 1800 + 1/2*r**3 + 1740*r = 0.
-60, 1
Suppose -9*q = -18*q + 18. Let x(n) be the second derivative of 1/18*n**4 + 0*n**q - 1/18*n**3 - 1/60*n**5 + 2*n + 0. Factor x(k).
-k*(k - 1)**2/3
Suppose 31*y + 474 - 599 = 6*y. Factor 16/3 - 32/3*d**3 - 1/3*d**y + 56/3*d**2 + 3*d**4 - 16*d.
-(d - 2)**4*(d - 1)/3
Let l(m) be the second derivative of -m**4/24 + 3*m**3/2 - 81*m**2/4 + 3*m - 8. Factor l(c).
-(c - 9)**2/2
Let n(z) = -5*z**2 + 5*z - 2. Suppose -3*p + 8 = p. Let i(r) = r**p + 1 + 3*r**2 - 82*r + 78*r. Let j(q) = -4*i(q) - 3*n(q). Factor j(x).
-(x - 2)*(x + 1)
Let k(w) = -2*w**2. Let x be 1*9/(3/(-1)). Let q(n) = -n**2 - 1. Suppose j + 2 = 5. Let h(m) = j*k(m) + x*q(m). Factor h(a).
-3*(a - 1)*(a + 1)
Suppose -181 = -5*c + 49. Let p = -275/6 + c. Suppose -1/6*s**5 + 5/6*s**3 + 2/3 - 4/3*s + p*s**2 - 1/6*s**4 = 0. What is s?
-2, 1
Let p(g) be the third derivative of -g**5/330 - g**4/44 - 4*g**2 - 17. Factor p(b).
-2*b*(b + 3)/11
Let q = -1258 - -15097/12. Let g(d) be the third derivative of 0*d**3 + 1/60*d**5 - q*d**4 + 0*d + 0 - 7*d**2. Solve g(x) = 0.
0, 2
Let c(x) be the third derivative of x**5/16 + 173*x**4/32 - 35*x**3/4 + 29*x**2 + 3*x. Let c(u) = 0. Calculate u.
-35, 2/5
Let h(u) be the first derivative of 4*u**3/3 + 76*u**2 + 1444*u - 99. Factor h(k).
4*(k + 19)**2
Let c be (-1)/(-2) + (1 + 3)/(-8). Let v(b) be the first derivative of 0*b**2 + 5/8*b**4 + 3/10*b**5 + c*b - 1 + 1/3*b**3. Let v(t) = 0. What is t?
-1, -2/3, 0
Let k be (4*(-10)/(-440))/(6/96). Factor 6/11*a + 6/11*a**3 + k*a**2 - 4/11.
2*(a + 1)*(a + 2)*(3*a - 1)/11
Let g(j) = -2*j**4 + 36*j**3 + 288*j**2 - 719*j - 3. Let t(z) = z**4 - z**2 - z + 1. Let m(n) = 5*g(n) + 15*t(n). Suppose m(r) = 0. Calculate r.
-19, 0, 2
Let d be (-58)/87*1/(-2). Let l(s) be the second derivative of -2/3*s**3 + 0 + 1/5*s**5 + s + d*s**4 - 2*s**2. Suppose l(t) = 0. What is t?
-1, 1
Suppose q - 3*l = 5*q - 17, 0 = -5*q + l + 26. Suppose -3*d = -q*d + 4. Factor 4*u**5 - 2*u**5 + 36*u**3 + d*u**5 + 24*u**4.
4*u**3*(u + 3)**2
Let r(i) = i**3 + 2*i**2 + i. Let o(t) = 3*t**3 - 128*t**2 + 2*t. Let l(w) = -o(w) + 2*r(w). Factor l(s).
-s**2*(s - 132)
Factor -120*t + 42*t**2 - 13*t**2 - 10*t**2 + 1800 - 17*t**2.
2*(t - 30)**2
Let d(o) be the second derivative of -o**6/120 + o**5/80 + o**4/24 + 156*o. Determine y so that d(y) = 0.
-1, 0, 2
Let y = 2100 - 2092. Let f(w) be the third derivative of -5/18*w**3 + 1/9*w**5 + 0 - 5/24*w**4 + 0*w + y*w**2. Factor f(t).
5*(t - 1)*(4*t + 1)/3
Let w = 9/2 + -71/16. Let l(j) be the second derivative of 0 - 1/6*j**3 + 1/120*j**6 + w*j**5 - j**2 - 7*j + 1/8*j**4. Factor l(i).
(i - 1)*(i + 2)**3/4
Let x(v) be the first derivative of v**6/120 - v**5/20 + v**4/8 + 25*v**3/3 + 7. Let p(s) be the third derivative of x(s). Determine u so that p(u) = 0.
1
Let d be (-8)/(-16)*1*8. Determine o, given that d + 20*o + 16*o**2 - 2 + 3 - 1 = 0.
-1, -1/4
Let q(f) be the first derivative of 4*f**3/3 - 52*f**2 + 88. Factor q(v).
4*v*(v - 26)
Let u(a) = a**2 - 3*a + 3. Let l be u(3). Suppose 0 = -4*s + f + 11, 0 = -2*s + 5*s - l*f + 3. Let -2*p - 7*p + 3*p - s - 2*p**2 = 0. What is p?
-2, -1
Factor 37*w**2 - 20*w**2 - 84*w - 14*w**2 + 18*w + 63.
3*(w - 21)*(w - 1)
Let 3/5*v**2 + 63/5*v + 12 = 0. What is v?
-20, -1
Find s, given that 4*s**2 - 4*s**2 + 15*s**3 - 18*s - 13*s**3 = 0.
-3, 0, 3
Suppose 4*b - 31 = 33. Find f, given that 209 + 8*f**3 - f**4 - 209 - b*f**2 = 0.
0, 4
Let m be (3 + 57/(-18))/((-4)/120). Find u, given that -25/2 - 1/2*u**2 - m*u = 0.
-5
Let w = -49/33 - -779/495. Let d(n) be the second derivative of -8*n - w*n**3 + 0 - 1/90*n**4 + 0*n**2. Solve d(o) = 0 for o.
-4, 0
Solve 477*m**2 - 861*m**2 - 33*m**4 - 3*m**5 - 288*m**3 - 21*m**4 = 0 for m.
-8, -2, 0
Let m(i) = i + 1. Let d(s) = 3*s**2 + 13*s + 11. Let a(q) = d(q) - 5*m(q). Let c be a(-2). Factor -1/4*z**c + 3/4*z + 0.
-z*(z - 3)/4
Let g(t) = -3*t**3 + 58*t**2 + 49*t. Let w(c) = 6*c**3 - 60*c**2 - 48*c. Let f(p) = 3*g(p) + 2*w(p). Factor f(j).
3*j*(j + 1)*(j + 17)
Let f be ((-23)/(-46))/(1/(0 - -2)). Let p be 10/5*f - -1. Find t such that 1/3*t**5 + 0*t**p + 2/3*t**2 - 1/3*t - 2/3*t**4 + 0 = 0.
-1, 0, 1
Let i(u) be the second derivative of u**5/5 + 56*u**4/3 - 273*u. Factor i(g).
4*g**2*(g + 56)
Let j(i) be the second derivative of i**7/168 - 23*i**6/120 + 33*i**5/16 - 99*i**4/16 - 81*i**3/4 + 29*i + 1. What is s in j(s) = 0?
-1, 0, 6, 9
Let i = 90 + -220. Let l = i + 261/2. Factor l*x**3 - x + 1/2*x**2 + 0.
x*(x - 1)*(x + 2)/2
Let t(s) = -s**2 - 34*s + 195. Let v be t(-39). Factor -2/5*p**5 + 0*p**2 - 16/5*p**4 + 54/5*p - 36/5*p**3 + v.
-2*p*(p - 1)*(p + 3)**3/5
Let h(s) be the third derivative of -s**5/60 - 23*s**4/12 - 15*s**3/2 + s**2 + 16*s. Solve h(d) = 0 for d.
-45, -1
Suppose -2*i + 3*i = 30. Factor 165*n - 35*n + 10*n**3 - 30*n**2 - 75*n - 5*n**3 - i.
5*(n - 3)*(n - 2)*(n - 1)
Let k(x) = -5*x**4 + 72*x**3 + 257*x**2 + 183*x + 6. Let l(d) = 40*d**4 - 575*d**3 - 2055*d**2 - 1465*d - 50. Let r(u) = 25*k(u) + 3*l(u). Factor r(h).
-5*h*(h - 18)*(h + 1)*(h + 2)
Let k(p) = p**3 + 110*p**2 - 974*p - 2. Let x(g) = 9*g**3 + 771*g**2 - 6819*g - 15. Let h(z) = -15*k(z) + 2*x(z). Factor h(a).
3*a*(a - 18)**2
Suppose -5*b = -4*x - 529, 2*x = 5*b - x - 533. Determine f, given that -9*f + b*f - 26 + 6 - 125*f**2 = 0.
2/5
Let h(t) = -t**3 - 2*t**2 + 2*t - 1. Let j(g) = 6*g**3 - 6*g**2 + 4*g + 4. Let l(f) = 4*h(f) + j(f). Suppose l(w) = 0. Calculate w.
0, 1, 6
Suppose 0 = -4*x - 2*x + 12. Find z such that -3 + 0*z + 4*z - 3*z**2 + x = 0.
1/3, 1
Let b(j) = 2*j**4 - 24*j**3 + 4*j**2 + 68*j + 48. Let c(y) = -y**4 + 24*y**3 - 5*y**2 - 70*y - 48. Let d(h) = 4*b(h) + 5*c(h). Factor d(q).
3*(q - 2)*(q + 1)**2*(q + 8)
Suppose -f = 2*p, 4*f = -0*p + 5*p - 26. Let t(q) = 2*q**2 - 24*q - 28. Let h(z) = z**2. Let c(s) = p*h(s) + t(s). Let c(d) = 0. What is d?
-1, 7
Let c(b) = b**3 - 3*b**2 + 2*b - 4. Let i be c(3). Let o be i - (1 + 2)*-1. Factor t**o + 4*t**4 + 20*t**3 - 4*t**2 + 3*t**5 - 24*t**3.
4*t**2*(t - 1)*(t + 1)**2
Let g(a) be the third derivative of 0*a - 5/6*a**3