 + u = 0?
0, 2
Let m(d) = -2*d - 3*d + 5*d**2 + d + 3*d + 1 - 4*d**2. Let f be 3/2*(-4)/6. Let a(b) = 5*b**3 - 2*b**2 - 3*b - 2. Let g(z) = f*a(z) - 2*m(z). Factor g(t).
-5*t*(t - 1)*(t + 1)
Suppose -560 = -3*r - c, 3*r - 566 = -3*c - c. Let v = -186 + r. Factor v*k**2 + 1/5*k - 3/5*k**3 + 2/5*k**4 + 0.
k*(k - 1)**2*(2*k + 1)/5
Let w = -9059 + 9059. Factor 0 + w*a - 1/2*a**3 + 1/2*a**4 - 1/2*a**2 + 1/2*a**5.
a**2*(a - 1)*(a + 1)**2/2
Let h = 1405 - 1403. Factor -3/4 - 1/4*c**h - c.
-(c + 1)*(c + 3)/4
Suppose 34 - 43*w + 48 - 104 - 20*w**2 + w**3 = 0. Calculate w.
-1, 22
Let g(i) be the second derivative of -i**4/42 + 170*i**3/21 - 7225*i**2/7 - 218*i. Factor g(t).
-2*(t - 85)**2/7
Suppose 15077 - 14949 = 32*m. Solve -12/5 + 8/5*f**m + 4/5*f**2 - 22/5*f - 2/5*f**5 + 24/5*f**3 = 0.
-1, 1, 6
Let s(f) be the second derivative of 0 - 3*f + f**2 + 1/12*f**4 - 1/2*f**3. Determine y so that s(y) = 0.
1, 2
Let q(b) be the first derivative of -5*b**3 - b**5 - 15/4*b**4 + 0*b - 5/2*b**2 - 14. Let q(h) = 0. What is h?
-1, 0
Factor -8/5*t - 2/5*t**2 + 0.
-2*t*(t + 4)/5
Let u(p) be the third derivative of 1/21*p**3 + 1/42*p**4 + 0*p + 36*p**2 + 1/210*p**5 + 0. Let u(s) = 0. What is s?
-1
Factor -3*h**5 - 2*h**5 + 5*h - 10*h**2 + 20*h**4 - 10*h**4.
-5*h*(h - 1)**3*(h + 1)
Suppose 0 = -3*r - 6, 2*f = -3*r - 3 + 13. Let d be (-4)/(-3)*18/f. Factor d*t**2 - 3 - 56*t + 6 + 62*t.
3*(t + 1)**2
Let a(n) be the second derivative of 0*n**2 + 4/3*n**3 - 1/15*n**6 + n - 11/6*n**4 + 13/20*n**5 + 5. Solve a(s) = 0 for s.
0, 1/2, 2, 4
Suppose 0 = b - 4*d + 5, b + 0*d = -d. Let i(r) = -2*r**3 + r + 1. Let g be i(b). Factor 13*f + 2 + 14*f**4 + 5*f**2 + 4*f**2 - 40*f**3 + g*f**4.
(f - 2)*(f - 1)*(4*f + 1)**2
Suppose -16 = 5*y + 4*o, -2*y - 1 = -2*o + 9. Let p be (2/20)/(y/(-16)). Factor 0 + p*a**5 + 2/5*a**4 + 0*a - 2/5*a**3 - 2/5*a**2.
2*a**2*(a - 1)*(a + 1)**2/5
Suppose -4*g + 5*g + 5*s = 12, -4*s = -4*g. Let v(m) be the third derivative of 0*m**5 + 0*m - 3/40*m**4 + 0 - 1/5*m**3 + 1/200*m**6 + g*m**2. Factor v(w).
3*(w - 2)*(w + 1)**2/5
Let s = -5299/115 - -1092/23. Factor -6/5 - s*a + 3/5*a**2.
(a - 3)*(3*a + 2)/5
Let b be 37/(1*(4 + 94)). Let c = b - -6/49. Find q such that 0*q - 1/2*q**2 + 0 - c*q**3 = 0.
-1, 0
Let o be (-975)/(-429) + 3/(-11). Let x(j) be the first derivative of -2*j**2 - j**4 + j + 1/5*j**5 + o*j**3 + 3. Suppose x(t) = 0. What is t?
1
Let j = 7 + -5. Suppose w + 8 = j*o, -o - o + 18 = 4*w. Factor 12*r - 3*r**2 + 6 + 7*r**2 - w + 4.
4*(r + 1)*(r + 2)
Suppose 0 = -2*u + 5*j + 20, -3*u = -296*j + 299*j - 9. Factor 1/4*d**u - 2*d**2 - 3/2*d**4 + 0*d + 0 + 3*d**3.
d**2*(d - 2)**3/4
Let b(i) be the third derivative of -i**5/30 - 7*i**4/4 + 22*i**3/3 - 6*i**2 - 4*i. Suppose b(o) = 0. What is o?
-22, 1
Let z(n) be the first derivative of 25*n**6/6 - 7*n**5 - 60*n**4 + 200*n**3/3 + 280*n**2 - 240*n - 232. Find o such that z(o) = 0.
-2, 2/5, 2, 3
Suppose 5*q = 4*u - 2*u + 13, 4*u = -4*q + 44. Solve -44 - 7*s - 18*s + 64 - s**2 + u*s**2 = 0 for s.
1, 4
Let v(f) = 5*f**3 - 13*f**2 - 20*f - 8. Let b(a) = -6*a**3 + 14*a**2 + 21*a + 8. Let i(r) = -6*b(r) - 7*v(r). Factor i(l).
(l + 1)*(l + 2)*(l + 4)
Suppose 1083 = 215*d + 653. Let 0*m**3 + 0*m + 0 + 0*m**d - 2/21*m**5 + 0*m**4 = 0. What is m?
0
Suppose 3*i + 3*o = -3, 21*o = -5*i + 26*o + 45. What is g in -g + 0 + 2*g**2 + 1/4*g**3 - 1/2*g**i = 0?
-2, 0, 1/2, 2
Let a(j) be the second derivative of -j**7/42 - j**6/6 - 3*j**5/20 + 5*j**4/12 + 2*j**3/3 + 2*j - 21. Factor a(t).
-t*(t - 1)*(t + 1)**2*(t + 4)
Suppose 6*f - 8*f = 0. Factor 2*v - v**3 + 0*v - v + f*v**3.
-v*(v - 1)*(v + 1)
Let z(c) = 2*c**3 - 6*c**2 - 12*c + 19. Let j(t) = t**3 + t**2 - 2*t + 1. Let d(b) = -12*j(b) + 4*z(b). Solve d(v) = 0 for v.
-8, -2, 1
Suppose -44*x + 46 = -42. Let j(t) be the second derivative of -8/3*t**4 + 7*t + 0 + 7/10*t**5 - 2*t**x + 11/3*t**3. What is o in j(o) = 0?
2/7, 1
Let d(z) = -z**3 - 3*z**2 + z + 3. Let w be d(0). Let h(u) be the first derivative of 3/4*u**2 + 1/8*u**4 + 4 - 1/2*u**w - 1/2*u. What is q in h(q) = 0?
1
Let u(f) be the second derivative of 121*f**4/36 + 44*f**3/3 + 24*f**2 - 21*f + 2. Factor u(k).
(11*k + 12)**2/3
Let t(v) be the third derivative of v**6/1260 - 2*v**5/315 - v**4/9 - 32*v**3/63 - 112*v**2 + v. What is j in t(j) = 0?
-2, 8
Let h(y) = -20*y - 2. Let t be h(-1). Let i be (6/t)/((-3)/(-288)). Factor 28*d**4 + 20*d**5 + 0*d**5 - i*d**2 - 8*d - 8*d**3 - 4*d**5 + 4.
4*(d - 1)*(d + 1)**3*(4*d - 1)
Let s(l) = l**3 + 11*l**2 + l + 13. Suppose -4*d + 4*p = 6*p + 48, -3*p = 5*d + 61. Let w be s(d). Factor 1/2*c**w + 0 + 1/2*c**4 + 0*c - c**3.
c**2*(c - 1)**2/2
Let x(v) = 13*v**4 + v**3 + 3. Let j(w) = 40*w**4 + 2*w**3 + 10. Let q(s) = 3*j(s) - 10*x(s). Factor q(o).
-2*o**3*(5*o + 2)
Let q(d) = -3*d**4 - d**3 - d**2 - d. Let m(y) = 159*y**4 - 1387*y**3 + 3033*y**2 - 2475*y + 700. Let j(t) = m(t) + 5*q(t). Solve j(b) = 0 for b.
5/6, 1, 7
Let t be 2/6*(-8 + 17). Let i be t + 130/105*(-7)/3. Factor 0*v + 1/9*v**3 + 1/9*v**2 - 1/9*v**5 + 0 - i*v**4.
-v**2*(v - 1)*(v + 1)**2/9
Suppose -10*y + 18 + 2 = 0. Factor 8*k - 12*k + 10*k + 4 - y*k**3.
-2*(k - 2)*(k + 1)**2
Let r(q) be the second derivative of q**7/210 - q**6/50 - 3*q**5/100 + 7*q**4/60 + q**3/5 - 65*q. Factor r(v).
v*(v - 3)*(v - 2)*(v + 1)**2/5
Let r(c) = c**3 - 2*c**2 - c - 1. Let a(x) = -4*x**2 - 4*x - 4. Let l(g) = a(g) - 4*r(g). Factor l(n).
-4*n**2*(n - 1)
Let m(a) = a**2 + 3*a. Let p be m(-3). Suppose p = 2*l - 17 - 17. Determine j, given that -15*j**2 + l*j**4 - 36*j**3 + 36*j - j**4 + 11*j**4 - 12 = 0.
-1, 2/3, 1
Let n(p) = -p**2 + 20*p - 75. Let k be n(15). Find s, given that 0*s**2 - 1/4*s**3 + k + 0*s = 0.
0
Let d(v) be the third derivative of -v**8/1680 + v**7/1050 + 2*v**6/75 + v**5/15 + 3*v**2 - 4. Factor d(t).
-t**2*(t - 5)*(t + 2)**2/5
Let h(b) = 3*b**2 + 182*b - 7901. Let z(n) = -4*n**2 - 183*n + 7896. Let k(m) = 5*h(m) + 4*z(m). Factor k(l).
-(l - 89)**2
Let o(b) = -b**3 - b**2 - 1. Suppose m - l = 3, -3*l - l + 6 = 2*m. Let c(r) = r - 3*r**2 + 4*r**3 + 2*r**3 - 4*r + 9. Let q(w) = m*o(w) + c(w). Factor q(s).
3*(s - 2)*(s - 1)*(s + 1)
Let u(m) be the third derivative of -m**7/1050 + m**6/100 - m**5/60 - m**4/10 - 89*m**2. Let u(f) = 0. Calculate f.
-1, 0, 3, 4
Let c(x) be the first derivative of -x**5/150 + x**4/15 - 4*x**3/15 + 17*x**2/2 + 6. Let d(f) be the second derivative of c(f). Factor d(p).
-2*(p - 2)**2/5
Let f(l) = 10*l**3 + 4*l**4 - 130 + 18*l**2 + 69 + 67. Let w(b) = -3*b**4 - 10*b**3 - 17*b**2 - 5. Let d(y) = 5*f(y) + 6*w(y). Factor d(u).
2*u**2*(u - 6)*(u + 1)
Suppose 4*f = 0, 2*f = v - 1 - 1. Let m be ((-18)/(-45))/(-4 - 33/(-8)). Solve 12/5*o**3 - m*o**v + 18/5*o**4 - 2/5 - 12/5*o = 0 for o.
-1, -1/3, 1
Solve -3/5*b**5 - 6 + 18/5*b**4 - 6/5*b**3 - 12*b**2 + 81/5*b = 0 for b.
-2, 1, 5
Let t(o) be the first derivative of o**8/168 + 2*o**7/105 - o**6/20 - 4*o**5/15 - o**4/3 - 7*o**2/2 + 2. Let j(s) be the second derivative of t(s). Factor j(x).
2*x*(x - 2)*(x + 1)**2*(x + 2)
Suppose -61*u - 51*u + 560 = 0. Factor -1/3*k**u + 0 + 2/3*k**4 - 2/3*k**2 + 0*k**3 + 1/3*k.
-k*(k - 1)**3*(k + 1)/3
Let t = 39973/8882 + -2/4441. Let v(c) be the first derivative of 15/2*c**2 - 7/4*c**4 + 6 - 3/10*c**5 - 2/3*c**3 - t*c. Determine z, given that v(z) = 0.
-3, 1/3, 1
Factor 3 + 14*w**2 - 2*w + 4*w - 15*w**2.
-(w - 3)*(w + 1)
Solve 0 - 1/3*b**3 + 2/3*b + 1/3*b**2 = 0.
-1, 0, 2
Let d = -6148 + 6150. Factor -3/5*p**3 + 0 + 3/5*p**d - 3/5*p**4 + 3/5*p.
-3*p*(p - 1)*(p + 1)**2/5
Let p(t) be the second derivative of -8*t**2 + 1/3*t**4 - 3*t + 0 + 0*t**3. Determine w, given that p(w) = 0.
-2, 2
Let s(f) be the third derivative of f**8/224 - 19*f**7/70 + 101*f**6/16 - 657*f**5/10 + 243*f**4 - 432*f**3 + 36*f**2. Factor s(r).
3*(r - 12)**3*(r - 1)**2/2
Let c(k) = -k**3 + 94*k**2 - 2025*k. Let o(z) = z**2. Let d(r) = -c(r) + 4*o(r). Factor d(w).
w*(w - 45)**2
Let r be (0 + (-1)/1)*-9. Let a = r - 7. Factor -7 - 3*f**2 + 0*f**a + 12*f - 4 - 1.
-3*(f - 2)**2
Factor -3/8*o**2 + 0*o + 3/2.
-3*(o - 2)*(o + 2)/8
Determine z, given that -1/6*z**4 - 4*z + 0 - 2*z**3 - 35/6*z**2 = 0.
-8, -3, -1, 0
Let x(b) = 2*b**2 - b - 16. Let s be x(-3). Suppose 3*i = 5*y + 1 + 5, -s*i + 3*y + 10 = 0. What is q in 0 + 1/3*q + 2/3*q**i + 1/3*q**3 = 0?
-1, 0
Let