u**3 - 402*u**3 + 3*u**4 - 6 + 3*u + 5*u + u + 3*u**2.
3*(u - 2)*(u - 1)**2*(u + 1)
Suppose 2*j + 18 = -i, 2*j + 83 + 1 = -4*i. Let w = i - -23. Factor p - 4 + w + p**2 + 3.
p*(p + 1)
Factor -a**2 + 3/4 + 13/8*a.
-(a - 2)*(8*a + 3)/8
Let f(i) = -i**2 - 1. Let v(q) = -2*q**2 - 47*q - 37. Let x(a) = 35*f(a) - 5*v(a). Suppose x(s) = 0. Calculate s.
-3/5, 10
Let o(d) be the second derivative of d**7/168 + d**6/30 + d**5/80 - 7*d**4/24 - 5*d**3/6 - d**2 - 65*d - 1. Suppose o(f) = 0. Calculate f.
-2, -1, 2
Suppose 2*n + 2 = 6. Determine a so that -4 - 4 - 2*a**2 - n*a**2 + 6*a**2 = 0.
-2, 2
Solve -5*n**3 - 10*n**3 - 16*n**4 + 12*n**4 - 64*n**2 - 25*n**3 = 0 for n.
-8, -2, 0
Solve 12 - 5825*r + 5919*r + 9*r**2 + 14*r**3 + 59*r**2 + 28 = 0.
-20/7, -1
Let n(t) = 5*t**2 + 89*t + 21. Let k(q) = 3*q**2 + 45*q + 12. Let c(s) = 7*k(s) - 4*n(s). Factor c(p).
p*(p - 41)
Let b(x) be the third derivative of x**6/480 + x**5/6 + 119*x**4/32 - 147*x**3/4 - 63*x**2. Let b(u) = 0. Calculate u.
-21, 2
Let n(j) be the third derivative of -j**5/75 - 41*j**4/60 + 7*j**3/5 + j**2 - 71. Factor n(k).
-2*(k + 21)*(2*k - 1)/5
Let l(b) = b**2 + b + 7. Let a be l(-5). Let q = a - 26. Let 4*h**2 - 6*h**2 - q - 2*h - 3*h + 8*h**3 = 0. What is h?
-1/2, -1/4, 1
Let c be (-284)/355*(-15)/21. Suppose 2/7*i + 2*i**4 + 18/7*i**3 + c*i**5 + 0 + 10/7*i**2 = 0. What is i?
-1, -1/2, 0
Suppose 0*w - n - 12 = -3*w, w - 15 = 4*n. Determine t so that 6*t**2 + 9 - 34*t**5 - 37*t**5 - 24*t - 15*t**4 + w*t + 74*t**5 + 18*t**3 = 0.
-1, 1, 3
Let y(r) be the first derivative of 0*r**2 - 1/15*r**5 + 0*r**4 + 2/9*r**3 - 1/3*r - 6. Determine f, given that y(f) = 0.
-1, 1
Let x(k) = 5*k**4 + 22*k**3 - 24*k**2 + 6*k - 3. Let v(a) = -16*a**4 - 66*a**3 + 72*a**2 - 20*a + 10. Let n(y) = -6*v(y) - 20*x(y). Solve n(d) = 0.
-12, 0, 1
Let b(p) be the first derivative of -5/2*p**4 + 20/3*p**3 - 5*p + 5*p**2 + 13 - 3*p**5. Let b(x) = 0. What is x?
-1, 1/3, 1
Let m be -2 + 4 + -2 - -3. Let q(t) = t**3 + t**2 - 7*t - 5. Let r(z) = -z**2 + 4*z + 3. Let d(g) = m*q(g) + 5*r(g). Determine x, given that d(x) = 0.
-1/3, 0, 1
Let s(f) be the third derivative of -f**8/112 + 2*f**7/35 - 415*f**2. Factor s(d).
-3*d**4*(d - 4)
Let d = 559/12 + -124/3. Let o be (-294)/1372*525/(-10). Solve -o*i - 3/4*i**3 + d*i**2 + 27/4 = 0.
1, 3
Let k be 44/6 + -8*(-7)/84. Let s(c) be the first derivative of -80/3*c**3 - 21*c**4 + 0*c + 16*c**5 - k*c**2 + 50/3*c**6 - 7. Solve s(i) = 0.
-1, -2/5, 0, 1
Let a(z) = -3*z**3 + 14*z**2 - 7*z + 7. Let q(t) = -2*t**3 + 10*t**2 - 5*t + 5. Let j(i) = -5*a(i) + 7*q(i). Factor j(b).
b**3
Suppose 23 = 5*j - 4*w, -4*j = -2*j + 5*w + 4. Factor 3*n**2 - 3*n**2 - j*n**3 + 9*n - 6*n**2.
-3*n*(n - 1)*(n + 3)
Let g(r) be the second derivative of -r**4/6 + 61*r**3/3 - 60*r**2 + 345*r. Let g(w) = 0. What is w?
1, 60
Factor -17*z**2 - 22*z**2 + 63*z**2 - 77*z - 20*z**2 - 67*z.
4*z*(z - 36)
Suppose -5*v = 2*d - 23, -3*v + 3*d = 6*d - 12. Let f = v - 1. Factor -4/5*r**2 + 2/5*r**f - 2/5*r + 4/5*r**3 - 2/5*r**5 + 2/5.
-2*(r - 1)**3*(r + 1)**2/5
Find f, given that -6/11*f**3 + 0*f + 54/11*f**2 - 648/11 = 0.
-3, 6
Let r(g) = 120*g**2 - 185*g + 65. Let p(u) = 11*u**2 - 17*u + 6. Let m(z) = 65*p(z) - 6*r(z). Find j, given that m(j) = 0.
0, 1
Let i(o) be the first derivative of -o**6/3060 - o**5/1020 + 2*o**3/3 + 1. Let z(f) be the third derivative of i(f). Suppose z(x) = 0. What is x?
-1, 0
Let m(w) = 13*w**2 - 321*w - 339. Let k(r) = -6*r**2 + 162*r + 170. Let i(f) = 5*k(f) + 2*m(f). Solve i(s) = 0.
-1, 43
Let v(h) = -h**2 - 6*h - 2. Let w be v(-5). Let y be w/63 - ((-148)/28 - -5). Factor 0 + 0*p + y*p**2 - 1/3*p**3.
-p**2*(p - 1)/3
Factor 2*k**2 - 3*k**2 + 3*k**4 + k + 18*k**3 - 99 + 72 + 25*k**2 - 19*k.
3*(k - 1)*(k + 1)*(k + 3)**2
Let r(b) be the first derivative of -b**4/4 - 3*b**3 - 12*b**2 - 16*b - 31. Determine o so that r(o) = 0.
-4, -1
Let n(u) be the first derivative of -u**5/20 - u**4/8 + u**3 + 9*u**2/2 - 7. Let m(j) be the second derivative of n(j). Factor m(t).
-3*(t - 1)*(t + 2)
Let z be (-1 - 0/(-4))*1. Let l be 1*(8/6 + z). Factor 1/3*g**2 + 0*g - l.
(g - 1)*(g + 1)/3
Let n(p) be the second derivative of p**5/140 - 39*p**4/28 + 1521*p**3/14 - 59319*p**2/14 + 80*p - 2. Let n(h) = 0. What is h?
39
Let y(x) = -x**3 + 5*x**2 + 8*x - 3. Let d be y(6). Let z = d - 7. Factor 1/3*n**2 - z*n + 3.
(n - 3)**2/3
Factor -2/11*i**2 - 26/11 + 28/11*i.
-2*(i - 13)*(i - 1)/11
Let r be 7 + (4/(-2) - 2). Suppose -7*y**2 + 9*y + r*y**3 - 6*y + y**2 + 0*y**2 = 0. What is y?
0, 1
Factor -7/9*g**4 + 0 + 0*g**2 - 10/9*g**3 + 0*g - 1/9*g**5.
-g**3*(g + 2)*(g + 5)/9
Suppose -62 = 3*p + 58. Let t be (6/p)/((-39)/52). Solve 1/5*g - t*g**2 + 2/5 = 0 for g.
-1, 2
Suppose 2*c - 3*c + 1 = -s, -4*s + 6 = -2*c. Factor -2 - 36*t**5 - 4*t**3 + 21*t**5 + 16*t**c + 3*t + 2*t**2.
(t - 1)**3*(t + 1)*(t + 2)
Factor -12 - 1095*o**2 - 1300*o**2 + 414*o**2 - 902*o**2 + 372*o.
-3*(31*o - 2)**2
Let w(f) = -23*f**3 + 107*f - 147. Let z(d) = 11*d**3 - 54*d + 74. Let y(k) = -6*w(k) - 13*z(k). Factor y(t).
-5*(t - 2)**2*(t + 4)
Suppose 16/7*c**4 - 10/7*c**5 + 0 - 40/7*c**2 - 24/7*c + 58/7*c**3 = 0. Calculate c.
-2, -2/5, 0, 1, 3
Let n(a) = 13*a - 115. Let w be n(9). Let p(y) be the first derivative of -y**w - 2/15*y**5 + 2/3*y**3 + 4/9*y + 1 + 1/18*y**4. What is q in p(q) = 0?
-2, 1/3, 1
Let m = -512/59 + -21453/295. Let c = m - -82. Factor 3/5 + 9/5*b**2 - c*b**3 - 9/5*b.
-3*(b - 1)**3/5
Suppose b - 5*p = 28, 4*b - 55 = 2*p + 3. Let m(y) = 2 + 11*y + 18 + 18 + 17*y**2 - 15. Let l(v) = -8*v**2 - 6*v - 12. Let g(j) = b*l(j) + 6*m(j). Factor g(r).
-2*(r + 3)**2
Suppose 6/5*s**5 + 22/5*s**2 + 3/5 - 5*s**4 - 22/5*s + 16/5*s**3 = 0. What is s?
-1, 1/6, 1, 3
Let r(c) = 15*c**3 - 15*c**2 - 125*c - 95. Let n(o) = -7*o**3 + 8*o**2 + 63*o + 48. Let z = -121 + 116. Let b(w) = z*n(w) - 2*r(w). Factor b(f).
5*(f - 5)*(f + 1)*(f + 2)
Let g(h) be the second derivative of -h**4/30 + 9*h**3/5 - 47*h. Solve g(q) = 0 for q.
0, 27
Let f(o) be the first derivative of -o**4/28 + 16*o**3/21 - 32*o**2/7 - 109. Let f(w) = 0. What is w?
0, 8
Factor 51*t + t**2 + 19*t + 90*t + 2*t**2 + 47*t.
3*t*(t + 69)
Let q(d) = -9*d**3 - 313*d**2 - 219*d + 75. Let l(h) = -h**3 - 2*h**2 + h. Let w(p) = -10*l(p) + 2*q(p). Factor w(z).
-2*(z + 1)*(z + 75)*(4*z - 1)
Suppose -5*h - m = -2*h + 4, 0 = 2*h - 5*m - 20. Let n(u) be the second derivative of 16/19*u**2 - 8/57*u**3 + h + 1/114*u**4 - 6*u. Factor n(k).
2*(k - 4)**2/19
Let z = 9 + -7. Factor f**4 - f + 21*f**z + 2*f**4 - 16*f**2 - 7*f**3.
f*(f - 1)**2*(3*f - 1)
Let y(k) be the first derivative of 4/15*k**3 + 8 - 4/5*k - 1/10*k**2 + 1/20*k**4. Find z such that y(z) = 0.
-4, -1, 1
Let j(o) be the second derivative of o**7/105 + 2*o**6/75 - 7*o**5/25 + 4*o**4/15 + 13*o**3/15 - 2*o**2 - 2*o - 323. Determine t, given that j(t) = 0.
-5, -1, 1, 2
Let 1/6*y**3 + 1 - 2/3*y**2 + 1/6*y = 0. What is y?
-1, 2, 3
Let o be (4/(-46))/(423/(-3243)). Find q such that -8/9 + o*q + 2/9*q**2 = 0.
-4, 1
Let f(k) = 2*k - 1. Let j(g) = 2*g**2 - 98*g - 2. Let s(u) = -4*f(u) + 2*j(u). Factor s(p).
4*p*(p - 51)
Let v(r) be the second derivative of -1/90*r**6 + 5/36*r**4 - 2*r - 2/27*r**3 + 0 - 2/45*r**5 + 0*r**2. Determine z, given that v(z) = 0.
-4, 0, 1/3, 1
Suppose 0*a + 1/4*a**4 + 0 + 33/4*a**2 - 17/2*a**3 = 0. What is a?
0, 1, 33
Suppose 0 = -26*y - 34 + 34. Let k(l) be the third derivative of -1/192*l**4 + y*l - 1/240*l**5 + 0 + 3*l**2 + 1/48*l**3. Let k(d) = 0. Calculate d.
-1, 1/2
Let o(v) be the second derivative of v**6/60 + v**5/10 + v**4/8 - 47*v. Factor o(m).
m**2*(m + 1)*(m + 3)/2
Let z(q) = -q**4 - 4*q**3 + 3*q**2 - 2*q + 4. Let d(r) = -2*r**4 - 5*r**3 + 4*r**2 - 3*r + 6. Let s(g) = -2*d(g) + 3*z(g). Let s(p) = 0. Calculate p.
0, 1
Let v(t) be the first derivative of -11*t**6/48 - 3*t**5/4 - 3*t**4/4 - t**3/12 + 3*t**2/16 + 53. Factor v(i).
-i*(i + 1)**3*(11*i - 3)/8
Suppose 2*c + 11 = -4*q - 15, 0 = 2*q + 4*c + 28. Let w be 248/93*1/(q/(-6)). Let 6/11*r**w + 0*r - 2/11*r**5 + 2/11*r**2 - 6/11*r**3 + 0 = 0. Calculate r.
0, 1
Let m(l) be the second derivative of 1/2*l**3 + 3/2*l**2 + 0 - 3/20*l**5 + 11*l - 1/4*l**4. Solve m(u) = 0 for u.
-1, 1
Let g(b) be the second derivative of b**7/280 + b**6/10 + 6*b**5/5 + 8*b**4 + b**3/6 + 7*b. Let i(h) be 