 4*s**4 + 2*s**2 - 7*s. Suppose 0 = 3*f - 10 - 8. Let j(q) = -q**5 - 4*q**4 - q**3 + q**2 - 6*q. Let i(t) = f*j(t) - 5*m(t). Factor i(a).
-a*(a + 1)**4
Let c(s) be the second derivative of s**7/105 + 4*s**6/75 + s**5/25 - 2*s**4/15 - s**3/5 - 20*s. Let c(i) = 0. What is i?
-3, -1, 0, 1
Suppose 0 = -4*i - 6 - 2. Let x = i - -4. Factor 3*g**2 - 3*g**2 + 8*g**4 + 2*g**x + 10*g**3.
2*g**2*(g + 1)*(4*g + 1)
Let q(d) = d**4 - 18*d**3 + 92*d**2 - 139*d + 69. Let c(b) = -b**2 + b + 1. Let g(u) = 5*c(u) - q(u). Suppose g(f) = 0. Calculate f.
1, 8
Let k(t) = -8*t**4 - 32*t**3 - 48*t**2 - 28*t - 4. Let d(v) = v**3 - v. Let h(j) = 4*d(j) - 2*k(j). Solve h(g) = 0 for g.
-2, -1, -1/4
Suppose 14/9*a**3 - 4/9*a**2 + 4/9 - 14/9*a = 0. Calculate a.
-1, 2/7, 1
Let c(n) be the third derivative of 1/630*n**7 + 0 + 0*n + 0*n**5 + 1/360*n**6 + 2*n**2 + 0*n**4 + 0*n**3. Factor c(q).
q**3*(q + 1)/3
Let f(y) = y**2 + y - 4. Let m be f(-3). Let n(g) be the second derivative of -1/4*g**m + 2*g - 2/3*g**4 - 2/3*g**3 + 0. Suppose n(c) = 0. Calculate c.
-1/4
Let 3/2*n**4 + 12*n**3 + 36*n**2 + 48*n + 24 = 0. Calculate n.
-2
Suppose 2*u - 17 = -13. Let p = 1/104 + 201/728. Determine r, given that 2/7*r**u + 0 - p*r = 0.
0, 1
Let c be -1 - (20/(-6) - (-35)/105). Determine j so that 6/11*j**c + 6/11*j**3 + 2/11*j + 0 + 2/11*j**4 = 0.
-1, 0
Let l be ((-122)/120 - -1)*-2. Let h(d) be the third derivative of -l*d**5 + 1/60*d**6 + 0*d + d**2 + 0 + 0*d**3 + 0*d**4. Solve h(c) = 0 for c.
0, 1
Let p be ((-36)/10)/(6/(-4)). What is r in 12/5*r - p - 3/5*r**2 = 0?
2
Factor -2*o + 2*o**3 - 4/3*o**2 + 4/3.
2*(o - 1)*(o + 1)*(3*o - 2)/3
Let z(u) be the third derivative of u**5/30 + 5*u**4/12 + 4*u**3/3 + 11*u**2. Find p, given that z(p) = 0.
-4, -1
Determine q so that 4/9 - 2/9*q**3 - 4/9*q**2 + 2/9*q = 0.
-2, -1, 1
Let -24*u**4 + 0*u - 6 + 6*u - 18*u**2 + 2 + 6 - 46*u**3 = 0. What is u?
-1, -1/4, 1/3
Let l(a) = 2*a**2 + 9*a + 1. Let f be l(-5). Factor f*r**3 - 8*r**2 + 0 + 8/3*r.
2*r*(3*r - 2)**2/3
Let m be 5/(-40) - (5 + 635/(-120)). Solve 2/3*x**4 + 0 + 2/3*x**2 + 1/6*x**5 + m*x + x**3 = 0.
-1, 0
Let p(k) = -k**2 - 6*k - 5. Let m be p(-4). Let 3 - m*g**2 + 3 - 3 = 0. What is g?
-1, 1
Factor -r**2 - 10 + 6 + 4 - 3*r.
-r*(r + 3)
Suppose -34 + 17 = b. Let l be b/(-5) + (-12)/30. Factor 0*f + 3/4*f**2 - 9/2*f**3 + 27/4*f**4 - l*f**5 + 0.
-3*f**2*(f - 1)**2*(4*f - 1)/4
Find z, given that -352/7*z**2 + 1/7*z**5 - 17/7*z**4 + 16*z**3 - 256/7 + 512/7*z = 0.
1, 4
Let h(f) = 7*f**2 + 5*f - 2. Let c = -4 + 21. Let r = 12 - c. Let a(l) = -8*l**2 - 6*l + 2. Let j(q) = r*a(q) - 6*h(q). Factor j(x).
-2*(x - 1)*(x + 1)
Suppose 0*m = 2*m - 4*d - 22, 3*m - d = 13. Factor 0*g**2 - 1 + 3/2*g - 1/2*g**m.
-(g - 1)**2*(g + 2)/2
Suppose -11*v + 5 = -39. Let o(y) be the second derivative of -1/6*y**v + 0*y**3 + 0 + y**2 - 3*y. Determine q so that o(q) = 0.
-1, 1
Determine d, given that -4/3 + 7/12*d**2 + 1/12*d**3 + 2/3*d = 0.
-4, 1
Let w(l) be the second derivative of -l**8/1680 + l**7/630 - 2*l**4/3 - 3*l. Let a(z) be the third derivative of w(z). Factor a(c).
-4*c**2*(c - 1)
Let c be ((-1954)/21)/(10/(-15)). Let p = c - 139. Factor 2/7*o**2 - p - 2/7*o.
2*(o - 2)*(o + 1)/7
Let r(v) = -2*v - 6. Let s be r(-4). Factor 1 - s*k**4 - 2*k**2 - 3 + 6*k**2.
-2*(k - 1)**2*(k + 1)**2
Let k = 2548 - 7567/3. Let s = 27 - k. Let -2*h**4 - 1/3*h**5 - s*h - 13/3*h**3 + 0 - 4*h**2 = 0. What is h?
-2, -1, 0
Let j(y) be the third derivative of -y**7/45 - y**6/20 + 13*y**5/45 + y**4 + 8*y**3/9 + y**2 + 5. Suppose j(x) = 0. Calculate x.
-2, -1, -2/7, 2
Let r(b) be the first derivative of -1/5*b - 1/10*b**2 + 1/15*b**3 + 1/20*b**4 - 4. Factor r(z).
(z - 1)*(z + 1)**2/5
Let b(o) = o**3 + 2*o**2 - 2*o - 2. Let y be b(-2). Factor 4/7*m**2 + y*m**3 - 4/7 - 2*m.
2*(m - 1)*(m + 1)*(7*m + 2)/7
Let o(m) be the second derivative of 8*m**7/15 - 2*m**6/75 - 86*m**5/25 - 53*m**4/15 + 16*m**3/15 + 8*m**2/5 - 24*m. What is u in o(u) = 0?
-1, -1/4, 2/7, 2
Let p(q) be the first derivative of -9*q**4/4 - 17*q**3 - 33*q**2 - 24*q + 23. Factor p(l).
-3*(l + 1)*(l + 4)*(3*l + 2)
Let c(p) = -35*p**2 - p + 1. Let u be c(1). Let z be (-34)/u + (-8)/14. Factor 2/5*v + 0 + z*v**3 - 4/5*v**2.
2*v*(v - 1)**2/5
Let m(z) = z - 16. Let x be m(16). Let r(n) be the third derivative of 0*n**3 + 0*n + 0 - 1/210*n**7 + n**2 + x*n**4 - 1/60*n**5 + 1/60*n**6. Factor r(i).
-i**2*(i - 1)**2
Let u(d) be the second derivative of d**7/112 + 3*d**6/80 - 3*d**5/160 - 7*d**4/32 + 3*d**2/4 + 9*d. Determine i so that u(i) = 0.
-2, -1, 1
Suppose 4*u - 19 = -11. Let h(s) be the second derivative of -1/70*s**5 + s + 0 - 1/21*s**4 + 2/7*s**u + 1/21*s**3. Solve h(b) = 0.
-2, -1, 1
Let d = 64440 + -11728111/182. Let x = 3/26 - d. Factor -x*p - 2/7*p**2 + 0.
-2*p*(p + 1)/7
Let a = -7 + 11. Suppose -a*x + 7 = -9. Factor 0*m**2 + 0 - 1/3*m**5 + 0*m**3 + 0*m - 1/3*m**x.
-m**4*(m + 1)/3
Factor -13*q**5 - 9*q**3 + 31*q**5 + 2*q + 3*q**2 + q**4 - 15*q**5.
q*(q - 1)**2*(q + 2)*(3*q + 1)
Let s(b) be the first derivative of -1/3*b**3 + 0*b - 1/2*b**2 + 1/2*b**4 - 1. Suppose s(c) = 0. What is c?
-1/2, 0, 1
Let r(m) be the first derivative of -m**3 - 6*m**2 - 12*m - 10. What is c in r(c) = 0?
-2
Let m be (-5)/10*(-3362)/(-7). Let p = 241 + m. Let 10/7*h + p*h**3 + 2*h**2 + 2/7 = 0. Calculate h.
-1, -1/3
Factor -6/7 - 2/7*o**3 - 10/7*o**2 - 2*o.
-2*(o + 1)**2*(o + 3)/7
Let t(q) = -q**2. Suppose -4 = 4*l + 4. Let h(x) = 4*x**2 - 2. Let n(z) = l*t(z) - h(z). Factor n(p).
-2*(p - 1)*(p + 1)
Let g(h) be the second derivative of 1/8*h**4 + 0 - 3/80*h**5 + 0*h**2 - 1/8*h**3 - 2*h. Factor g(m).
-3*m*(m - 1)**2/4
Find b, given that 12/5*b**2 + 8/5 + 1/10*b**4 + 16/5*b + 4/5*b**3 = 0.
-2
Let o(b) be the third derivative of 3*b**5/20 - 7*b**4/24 - b**3/3 - 4*b**2. Factor o(y).
(y - 1)*(9*y + 2)
Let w(j) be the third derivative of -j**8/1680 + j**7/420 - j**5/60 + j**4/24 - 2*j**3/3 - j**2. Let a(l) be the first derivative of w(l). Factor a(n).
-(n - 1)**3*(n + 1)
Let a(l) = -2*l - 6. Let v = 13 + -18. Let s be a(v). Suppose -2*m**3 - 2*m**2 + 0*m**2 + m**4 - 2*m**s - m**3 = 0. What is m?
-2, -1, 0
Let g(v) be the second derivative of -v - 1/3*v**4 - 2/9*v**3 + 0 + 0*v**2 - 3/20*v**5. Factor g(l).
-l*(3*l + 2)**2/3
Factor -12*k - 17*k**2 + 16 + 0*k - 3*k**3 + 5*k**3 + 11*k**2.
2*(k - 4)*(k - 1)*(k + 2)
Let i(t) = -37*t**2 + 49*t - 29. Let h(b) = 6*b**2 - 8*b + 5. Suppose 5*u + 111 = -4*q, q = 2*q + u + 29. Let f(p) = q*h(p) - 6*i(p). Factor f(o).
2*(o - 1)*(9*o - 2)
Suppose 59 - 4 = 11*r. Let j(m) be the first derivative of 1/4*m**4 - 1/2*m**2 - 2 + 1/4*m**3 - m + 1/20*m**r. What is g in j(g) = 0?
-2, -1, 1
Let i(c) be the second derivative of 0 - 1/4*c**4 - 2*c + 0*c**2 + c**3. Factor i(m).
-3*m*(m - 2)
Suppose 9*i**5 - 8*i**5 + 0*i**5 = 0. Calculate i.
0
Let m(s) be the second derivative of s**5/20 + s**4/12 - 5*s**3/6 + 3*s**2/2 - 49*s. Suppose m(z) = 0. What is z?
-3, 1
Let n(c) be the first derivative of c**3/15 - 3*c**2/5 + 9*c/5 + 5. Factor n(w).
(w - 3)**2/5
Let o be (-6)/(-33) - (-2 - (-96)/44). Factor o + 1/4*u**2 + 1/2*u.
u*(u + 2)/4
Let q = 126/5 + -25. Let m = 0 + 2. Factor -1/5*g**m + 0 + q*g**3 + 1/5*g**4 - 1/5*g.
g*(g - 1)*(g + 1)**2/5
Suppose s - 5 + 1 = 0. Let h be s/(-9 + 1)*-1. Let 1/2 + h*t**2 + t = 0. What is t?
-1
Let p(y) be the second derivative of 2*y**6/15 + 2*y**5/5 - y**4/3 - 4*y**3/3 - 2*y. Factor p(x).
4*x*(x - 1)*(x + 1)*(x + 2)
Let z = -353 - -1063/3. Solve 4/3*v**2 + 0 + 4/3*v**3 - z*v - 4/3*v**4 = 0 for v.
-1, 0, 1
Let d = 53/21 - 13/7. Find g, given that -2/3*g**2 + d*g**3 + 0 + 0*g = 0.
0, 1
Let x = -5 + 2. Let m(y) = y + 3. Let l be m(x). Factor l*z**3 - z - z**2 + 1 - 5*z**3 + 6*z**3.
(z - 1)**2*(z + 1)
Let u(f) = -2*f - 10. Let a be u(-6). Let p be (-4 - (a + -6))/(-2). Factor 0*q**2 + p*q + 1/3*q**4 + 0 + 1/3*q**3.
q**3*(q + 1)/3
Let g(f) be the first derivative of -f**4/6 - 4*f**3/3 - 4*f**2 - 16*f/3 + 3. Factor g(v).
-2*(v + 2)**3/3
Suppose 3*r - 7 = 3*o - 1, -3*r = 3*o - 24. Suppose 17 = 3*s + r. Factor 6 + i**4 - 4*i**3 - 1 + 6*i**2 - 4*i - s.
(i - 1)**4
Let y(w) be the first derivative of w**4/2 - 2*w**3 + 2*w**2 - 1. Let y(z) = 0. What is z?
0, 1, 2
Let m be (-1)/(-2)*64/1104. Let g = m - -65/138. Factor -1/2 + 3/2*w**3 + g*w + 5/2*w**2.
(w + 1)**2*(3*w