*c**2 - 5*c**4.
-5*c**2*(c - 1)**2
Let n be -4 + 5 - (-21236)/15140. Let w = n + -2/757. Factor -3/5*l**3 - 3*l - 6/5 - w*l**2.
-3*(l + 1)**2*(l + 2)/5
Let s(w) = w**2 - 13*w + 6. Let l be s(13). Solve -l - 1 - 5 + 2 - 20*x**2 + 45*x = 0 for x.
1/4, 2
Let b be (-2)/65*(-230)/276. Let y(z) be the third derivative of 0 - b*z**4 - 1/780*z**6 + 0*z**3 + 0*z + 2/195*z**5 + 2*z**2. Let y(f) = 0. What is f?
0, 2
Let x be (-3)/(-2) - (5 - (-264)/(-48)). What is q in 0*q + 1/3 - 1/3*q**x = 0?
-1, 1
Let t be (1488/244 - 1) + -5. Let h = t + 288/793. Factor -h - 2/13*l**2 + 8/13*l.
-2*(l - 3)*(l - 1)/13
Let g(h) be the third derivative of -1/280*h**6 + 1/70*h**5 + 0*h + 0 - 12*h**2 + 1/14*h**4 - 4/7*h**3. Determine x, given that g(x) = 0.
-2, 2
Let x(s) = -5*s**3 - 4*s**2 - 15*s - 6. Let t(h) = h**3 + h**2 + 1. Let r(l) = 6*t(l) + x(l). Solve r(n) = 0 for n.
-5, 0, 3
Let c(t) be the third derivative of -t**7/70 + 9*t**6/20 - 17*t**5/20 - 153*t**2. What is p in c(p) = 0?
0, 1, 17
What is i in 6/11 + 2/11*i**2 + 8/11*i = 0?
-3, -1
Suppose -424*i = -441*i. Find g, given that i + 3/2*g**3 - 3/2*g + 0*g**2 = 0.
-1, 0, 1
Let a(w) = -3*w + 9. Let p be a(9). Let u(y) = 2*y**2 - 2*y + 2. Let x(o) = 8*o**2 - 9*o + 9. Let f(t) = p*u(t) + 4*x(t). Let f(h) = 0. Calculate h.
0
Suppose 7*b - 6*b - 2 = 0. Suppose -5*g + t = -4*t + 15, 3*g + b*t = 16. Factor -3 + 5*a**2 + 8*a + 8*a**g - 10*a**2.
(a + 3)*(3*a - 1)
Let f(v) be the first derivative of v**4/8 - v**3 + 5*v**2/4 + 6*v - 100. Factor f(u).
(u - 4)*(u - 3)*(u + 1)/2
Let q(r) = r**3 - 8*r**2 + 4. Let d be q(8). Solve 0*g - g**2 - d*g + 1 - 1 = 0.
-4, 0
Factor -18*u**3 - 7*u**4 + 72*u + 34*u**4 - 14*u**2 + 2*u**2 - 17*u**4 - 7*u**4.
3*u*(u - 6)*(u - 2)*(u + 2)
Suppose -4*n = -3*n. Let s = -2089 + 2092. Suppose -8/3*k**2 + 4/3*k - 5/3*k**s + n = 0. Calculate k.
-2, 0, 2/5
Let j(z) = -z**2 - z. Let u(t) = 2*t**4 + 64*t**3 + 294*t**2 - 3638*t + 6498. Let d(p) = 10*j(p) + u(p). Factor d(f).
2*(f - 3)**2*(f + 19)**2
Let h = -24/161 - -586/1771. Find t, given that 8/11*t**2 - 16/11*t**3 + 0 + 10/11*t**4 + 0*t - h*t**5 = 0.
0, 1, 2
Let q(f) = f**2 + 5*f + 6. Let p be q(-4). Let c be ((-2)/2)/(p/(-4)). Factor 17*i**c - 65*i**2 - 13*i + 1 + 2 - 4 - 36*i**3.
-(i + 1)*(6*i + 1)**2
Suppose 248/3*l + 4/3 + 3844/3*l**2 = 0. What is l?
-1/31
Suppose 16*f - 15*f - 2 = 0. Find v such that -1/2*v**2 - 2 - f*v = 0.
-2
Suppose -2*f = -5*f + 36. Suppose 8 = f*i - 28. Factor 0 - 2/9*r + 4/9*r**2 - 2/9*r**i.
-2*r*(r - 1)**2/9
Let j = -4290 + 8583/2. Factor 3/2*a - j*a**3 + 3/2*a**2 - 3/2.
-3*(a - 1)**2*(a + 1)/2
Let s(d) be the first derivative of -4/7*d**3 - 3/28*d**4 - 6 + 0*d - 6/7*d**2. Factor s(u).
-3*u*(u + 2)**2/7
Let y be 51/2*6/9. Suppose 5*k + 5 = 0, -3*b - y = -7*b - 3*k. Let 1 - 6 + 2*q**3 - 4*q**2 + 2*q + b = 0. Calculate q.
0, 1
Let v(y) be the second derivative of 17/3*y**6 + 0 + 0*y**2 - y**7 + 7*y - 43/5*y**5 - 2/3*y**4 + 8/3*y**3. Solve v(o) = 0.
-2/7, 0, 1/3, 2
Let f be 1 + (609/30)/(-7) + 2. Let x(h) be the first derivative of -f*h**5 - 3/2*h**3 + 5/8*h**4 - h + 2 + 7/4*h**2. What is g in x(g) = 0?
1, 2
Let z(x) = 2*x + 3. Let g be z(1). Suppose -w + 6*w + 4*r - 15 = 0, 0 = 3*w + g*r - 9. Factor 0 - 2/9*h - 8/9*h**2 - 2/3*h**w.
-2*h*(h + 1)*(3*h + 1)/9
Suppose 11*c = 8*c + 72. Suppose -c*n - 6*n**2 - 12*n**2 - 2 + 3*n**4 + 1 - 8 = 0. Calculate n.
-1, 3
Let v(s) = -s**3 + 4*s**2 + 2. Let o be v(4). Find l such that 10*l**2 + 5*l**3 + 85*l + 20*l**o - 60*l = 0.
-5, -1, 0
Let d(k) be the first derivative of 5*k**4/16 + 5*k**3/2 + 15*k**2/2 + 10*k + 2. Solve d(f) = 0.
-2
Let p = -169 - -302. Let l = p - 133. Determine t, given that -2/3*t**4 + 2/3*t**2 + 4/3*t - 4/3*t**3 + l = 0.
-2, -1, 0, 1
Let w = 33 - 20. Suppose -a = 2*z - w, 0*a - 3*z + 24 = 3*a. Suppose -2*u**a - 2*u**2 - 2/3*u**4 + 0 - 2/3*u = 0. Calculate u.
-1, 0
Let d(t) be the second derivative of -t**4/4 + 2*t**3 - 9*t**2/2 + 119*t. Factor d(a).
-3*(a - 3)*(a - 1)
Let q be (5/21 + (-2)/(-6))*7. Factor -z**q - 3*z**5 - 2*z**2 + 143*z**3 + 5*z**2 - 140*z**3 - 2*z**4.
-3*z**2*(z - 1)*(z + 1)**2
Factor -235/4*u**4 - 8245/4*u**2 + 20230*u - 24565 - 3335/4*u**3 - 5/4*u**5.
-5*(u - 2)**2*(u + 17)**3/4
Let d be 3/(2790/(-120) - -29 - 2/4). Determine g so that -16/7*g + d*g**3 + 12/7*g**2 + 0 = 0.
-4, 0, 1
Factor -1/4*h**3 + 11/4*h**2 - 19/4*h + 9/4.
-(h - 9)*(h - 1)**2/4
Let b(m) be the third derivative of -1/10*m**5 - 8*m**2 + 0*m + 8/3*m**3 - 23/12*m**4 + 0. Solve b(u) = 0.
-8, 1/3
Let m(h) be the first derivative of h**3/21 + 15*h**2/7 + 225*h/7 + 19. Find v, given that m(v) = 0.
-15
Let z(u) = u**2 - 111*u + 125. Let w(t) = -2*t - 1. Let o(d) = 5*w(d) + z(d). Factor o(b).
(b - 120)*(b - 1)
Let h = 476/15 + -1358/45. Let -h*j**2 + 10/9*j**4 - 2/3*j**3 + 4/9 + 2/3*j = 0. What is j?
-1, -2/5, 1
Find r, given that -2/7*r**2 + r - 1/7*r**3 - 4/7 = 0.
-4, 1
Suppose 616 = 6*l - 13*l. Let f be (4 - l/(-20)) + 1. Determine z so that -6/5*z**2 - 3/5*z**5 + 6/5*z**4 + 0*z**3 + 0 + f*z = 0.
-1, 0, 1
Let u(w) = -w**2 + 18*w + 3. Suppose -4 = 2*o - 40. Let c be u(o). Solve -2/3*n**4 - 6*n**2 + 10/3*n**c + 14/3*n - 4/3 = 0.
1, 2
Factor -7*i**3 - 4*i**3 + 12*i**2 + 15*i**3.
4*i**2*(i + 3)
Let d(y) = 4*y**2 + y - 4. Let q(c) = c**2. Let g(z) = d(z) - 3*q(z). Let l(o) = 3*o**2 + o - 9. Let m(s) = -5*g(s) + 2*l(s). Factor m(h).
(h - 2)*(h - 1)
Determine h so that -2*h**3 + 2*h - 19 + 0*h**3 - 2 - 23 + 44*h**2 = 0.
-1, 1, 22
Let f = -47 - -56. Suppose -f = 12*o - 33. Find m such that 2/7 + 0*m - 2/7*m**o = 0.
-1, 1
Let k(s) = -s**2 - 3*s + 3. Let q be k(-3). Suppose -2 = -4*v + 3*v. Let 4*r**v + q*r - 3 - 4*r + 7 - 7*r = 0. Calculate r.
1
Let k be (18/(-21))/(2/42). Let s = k - -23. Determine b so that -7*b - 4 + 7*b**2 + s*b**3 + 6*b - 7*b = 0.
-2, -2/5, 1
Suppose -5*i + 9*i - 364 = 0. Suppose 0 = -4*s - 35 + 95. Solve -30*x**3 + 97*x + 15*x**4 + 3*x**3 - s*x**2 + 21*x**5 - i*x = 0.
-1, 0, 2/7, 1
Factor 15*t + 4*t**3 - 17*t + 36 - 4*t**2 - 34*t.
4*(t - 3)*(t - 1)*(t + 3)
Let a(q) be the second derivative of q**4/6 - 5*q**3/3 - 6*q**2 + 143*q. Let a(z) = 0. What is z?
-1, 6
Let r be ((-1)/2 - -2) + (-9)/(-342)*19. Solve h**3 + 2/3*h - 7/3*h**4 - 5/3*h**5 + 7/3*h**r + 0 = 0 for h.
-1, -2/5, 0, 1
Let u = 317/3015 - -2/335. Let g(y) be the first derivative of -4/9*y + 2/27*y**3 + 1 + u*y**2. Factor g(a).
2*(a - 1)*(a + 2)/9
Let b(o) = -14*o**4 + 12*o**3 - 37*o**2 - 115*o - 77. Let m(h) = 9*h**4 - 6*h**3 + 18*h**2 + 57*h + 39. Let p(q) = -3*b(q) - 5*m(q). Factor p(d).
-3*(d - 3)*(d + 1)*(d + 2)**2
Let t be ((-40)/(-24) + 1)/(10/(-54)). Let x = -638/45 - t. Factor 2/9*m**2 - 4/9 + x*m.
2*(m - 1)*(m + 2)/9
Suppose 2*p - 1 = j, -15 = -4*j + 5. Let x(u) be the second derivative of 0 + 0*u**2 + 1/6*u**4 + 0*u**p - 6*u + 1/10*u**5. Factor x(m).
2*m**2*(m + 1)
Suppose -6*p + 11*p - 6 = 4*r, 3 = p + r. Let j(a) be the third derivative of 1/4*a**4 + 0 + 0*a**3 + 0*a + p*a**2 + 1/20*a**5. Factor j(n).
3*n*(n + 2)
Solve 2/9*q**2 - 8 + 10/9*q = 0 for q.
-9, 4
Let o(n) be the second derivative of 1/48*n**4 + 0*n**2 + 0*n**3 + 1/80*n**5 + 0 + 9*n. Factor o(r).
r**2*(r + 1)/4
Let s(v) be the second derivative of -v**5/30 - 2*v**4/9 + 11*v**3/9 - 2*v**2 + 108*v. Suppose s(t) = 0. What is t?
-6, 1
Find n such that 7*n**2 + 96*n + 2304/7 = 0.
-48/7
Let v = 97 - 93. Let l be 25/v - 3 - (-2)/(-8). Find g, given that -8/5 - 4/5*g**l + 12/5*g + 0*g**2 = 0.
-2, 1
Let a = 805 - 805. Let h(x) be the second derivative of -2/3*x**3 + 1/5*x**5 + 0*x**2 - x + a + 0*x**4. Factor h(u).
4*u*(u - 1)*(u + 1)
Find q such that 3/5*q**2 + 9/5*q + 6/5 = 0.
-2, -1
Factor 0 + 4/3*m**3 + 32/9*m - 56/9*m**2.
4*m*(m - 4)*(3*m - 2)/9
Let j be (48/14)/((-9)/(-63)). Let l = j - 20. Factor 0*h**2 + 0*h**2 - h**2 - l*h**2.
-5*h**2
Find x, given that 0 + 4/7*x**2 - 44/7*x = 0.
0, 11
Factor 2*d**3 + 20*d**2 - 4*d**4 - 48*d + 2*d**3 + 2*d**4 + 2*d**3.
-2*d*(d - 4)*(d - 2)*(d + 3)
What is o in -32/7*o + 31/7 + 1/7*o**2 = 0?
1, 31
Let k = 9 + -10. Let y = k - -3. Determine s so that -s**2 - 3*s**2 + 4*s**2 - 2*s + y*s**2 = 0.
0, 1
Let o be 4/6*357/595. Let g(n) = 3*n - 1. Let f be g(1). Suppose -o - 2/5*i**f + 4/5*i = 0. What is i?
1
Let m(y) = 2*y**2 - 6. Let b be m(0). Let g(z) = z**2 - 5*z - 8. Let o(a) = -a**2 + 6*a + 9. Let h(u)