(c).
(c + 1)**3*(4*c + 1)**2
Let v be 11/(66/(-24)) - -6. Let 0 - 2/5*y - 7/5*y**4 + 2/5*y**3 + 7/5*y**v = 0. What is y?
-1, 0, 2/7, 1
Let n(i) be the second derivative of i**6/120 - i**5/20 + i**4/24 + i**3/6 - 3*i**2/8 - 4*i. Let n(g) = 0. What is g?
-1, 1, 3
Let o(k) be the first derivative of 2*k**5/55 + 3*k**4/22 + 4*k**3/33 - 13. Factor o(d).
2*d**2*(d + 1)*(d + 2)/11
Let g = 21/2 + -103/10. Suppose -13 = -3*f - 4*q + 3, 4 = 2*f + q. Factor -2/5*p - g*p**3 + f + 3/5*p**2.
-p*(p - 2)*(p - 1)/5
Find h, given that 0 + 4/5*h**3 + 4/5*h**4 - 4/5*h - 4/5*h**2 = 0.
-1, 0, 1
Factor -8/7*s + 0 - 2/7*s**2.
-2*s*(s + 4)/7
Let m(c) be the second derivative of c**9/6048 - c**7/840 + c**5/240 + c**3/6 - c. Let k(r) be the second derivative of m(r). Solve k(s) = 0.
-1, 0, 1
Let r(p) be the first derivative of -4*p**5/5 - 3*p**4 - 4*p**3/3 + 6*p**2 + 8*p + 17. Factor r(s).
-4*(s - 1)*(s + 1)**2*(s + 2)
Let h(k) be the second derivative of k**4/36 + 16*k**3/9 + 128*k**2/3 - 6*k + 2. Determine t so that h(t) = 0.
-16
Factor -f**3 + f**2 + 3*f**2 - 2*f - 2*f.
-f*(f - 2)**2
Suppose 0 = 5*i - 6 + 1. Let m = i + 1. Factor -1 - 2*c**2 + 3*c + c**3 - c**m + 0*c.
(c - 1)**3
Let w(o) be the second derivative of o**5/130 + o**4/39 - o**3/39 - 2*o**2/13 - 6*o. What is k in w(k) = 0?
-2, -1, 1
Let d(q) be the first derivative of 1/2*q**4 - 1/5*q**2 + 6/25*q**5 - 3 + 0*q + 2/15*q**3. Let d(y) = 0. Calculate y.
-1, 0, 1/3
Let q(y) be the second derivative of 5*y**4/12 + 5*y**3 + 45*y**2/2 - 11*y - 2. Suppose q(s) = 0. Calculate s.
-3
Suppose 0 = l - 2 - 0. Let o be 6/(-1)*(-1)/l. Determine v so that -8*v - 13*v**3 + o*v**2 - 5*v**3 - 27*v**2 = 0.
-2/3, 0
Let v = -10 + 17. Factor -3*r + v*r**2 - 6*r**2 + 2*r**2.
3*r*(r - 1)
Factor 5/3*p - 1/3*p**2 - 1 - 1/3*p**3.
-(p - 1)**2*(p + 3)/3
Suppose -2*k = -4*r + 42, 3*r - 8*r - 4*k = -20. Determine i so that 4*i + 4*i**2 - 1 + 1 - r*i**2 = 0.
0, 1
Suppose -4*y - 2*s + 18 = 0, -18 = -5*y + 3*s + 10. Suppose 5*m - 3*z = 14, 3*z + 15 = 4*m + y. Suppose 0*t + 0*t**3 - 2/3*t**2 + 1/3 + 1/3*t**m = 0. What is t?
-1, 1
Let j be (-145)/(-84) + (-2)/6. Let w = j + 3/28. Let -1/2 + 1/2*q**3 - 3/2*q**2 + w*q = 0. Calculate q.
1
Let d(b) be the second derivative of -b**6/180 + b**4/12 - 2*b**3/9 + 2*b**2 + 2*b. Let i(y) be the first derivative of d(y). Factor i(n).
-2*(n - 1)**2*(n + 2)/3
Let n = 21 - 43/2. Let l = n - -7/6. Determine j, given that l*j**2 - 2/3 + 0*j = 0.
-1, 1
Let l(u) be the second derivative of 0*u**4 + 0 + 0*u**3 + u - 1/2*u**2 - 1/60*u**5. Let t(j) be the first derivative of l(j). Factor t(s).
-s**2
Factor -x**2 - 2 + 2 + x + 0.
-x*(x - 1)
Suppose -10 + 221*j**3 + 130*j**4 + 20*j**2 - 5*j - 18*j**3 - 33*j**3 + 35*j**5 + 60*j**2 = 0. What is j?
-1, 2/7
Let y(a) be the third derivative of a**5/270 - 2*a**4/27 + 16*a**3/27 - 11*a**2. Suppose y(i) = 0. What is i?
4
Let m(a) be the first derivative of -a**5/30 + a**3/3 + a**2/2 + 2. Let g(k) be the second derivative of m(k). Factor g(n).
-2*(n - 1)*(n + 1)
Let l(o) be the second derivative of o**6/45 + o**5/15 - 2*o**3/9 - o**2/3 + o. Factor l(i).
2*(i - 1)*(i + 1)**3/3
Let k = 46 + -41. Factor -1/2*h**4 + 0*h**2 + 0 - 1/2*h**k + 0*h**3 + 0*h.
-h**4*(h + 1)/2
Let d(n) be the second derivative of -n**7/210 - n**6/75 - n**5/100 + 10*n. Factor d(w).
-w**3*(w + 1)**2/5
Let q = 304/35 - 42/5. Suppose q*p**2 - 4/7*p + 2/7 = 0. Calculate p.
1
Let r = -208 + 835/4. What is y in 0 + 3/2*y**2 + 3/4*y + r*y**3 = 0?
-1, 0
Let h be (-3)/((-189)/(-36))*-1. Find l, given that h*l**3 - 4/7 + 1/7*l**4 - 4/7*l + 3/7*l**2 = 0.
-2, -1, 1
Let d(w) be the second derivative of w**7/3360 - w**6/720 - w**5/160 - 7*w**3/6 + 7*w. Let j(k) be the second derivative of d(k). Factor j(v).
v*(v - 3)*(v + 1)/4
Suppose -d = 4*b + 24, -4*b - 5*d - 30 = -2*b. Let h(i) = -i**2 - 7*i - 7. Let p be h(b). What is n in 2*n**2 - 3*n**3 + 0*n**3 - p*n**4 + 2*n**3 = 0?
-1, 0, 2/3
Let n be (-9810)/(-1350) + -6 + -1. Factor n*a**2 - 2/15*a + 2/15*a**3 - 4/15.
2*(a - 1)*(a + 1)*(a + 2)/15
Let n(d) = -d**2 + 9*d + 70. Let h be n(14). Factor 0 - 2/13*c**4 + h*c**2 + 0*c + 2/13*c**3.
-2*c**3*(c - 1)/13
Let t(n) be the first derivative of -n**8/224 + n**7/35 - 3*n**6/40 + n**5/10 - n**4/16 + 3*n**2 + 3. Let k(s) be the second derivative of t(s). Factor k(h).
-3*h*(h - 1)**4/2
Let y = -4 - -4. Suppose 0 = r - y - 4. Factor 0*u**3 - 2*u**3 + 0*u**r - u**3 + 3*u**4.
3*u**3*(u - 1)
Determine x so that -12/5*x**3 - 1/5*x**5 + 0*x + 0 + 6/5*x**4 + 8/5*x**2 = 0.
0, 2
Let h(u) be the first derivative of -u**4/4 - u**3 - 3*u**2/2 - u - 4. Factor h(a).
-(a + 1)**3
Let i(o) be the first derivative of 2*o - 2 + 1/15*o**6 - 5/18*o**4 + 2/3*o**2 + 1/30*o**5 - 1/9*o**3. Let u(p) be the first derivative of i(p). Solve u(z) = 0.
-1, 2/3, 1
Let w(q) = -3*q**2 + 2*q. Let m be 2/(-3)*(-15)/(-10). Let x(f) = -f**2 + f. Let b(s) = m*w(s) + 2*x(s). Factor b(y).
y**2
Suppose 0 = -3*m + 9 - 0. Suppose -4*g + m*d - 9 = 0, -7*d = g - 4*d - 9. Factor -7/2*k**4 + 3/2*k**3 + 3/2*k**5 - k + 3/2*k**2 + g.
k*(k - 1)**3*(3*k + 2)/2
Let k = 1/97 + 92/485. Let w(v) be the first derivative of -1 - 3/5*v**4 - 8/25*v**5 - k*v**2 - 1/15*v**6 - 8/15*v**3 + 0*v. What is o in w(o) = 0?
-1, 0
Solve 0 - 3*h + 3/2*h**2 + 3/2*h**3 = 0 for h.
-2, 0, 1
Let 2*a + 6*a**4 - 12*a**2 - 6*a**3 + 6 + a + 24*a**5 - 21*a**5 = 0. What is a?
-2, -1, 1
Let t(j) = -j**3 + j**2 - j. Let f(q) = 6*q**3 + 2*q**2 + 8*q. Let c(b) = f(b) + 4*t(b). Factor c(k).
2*k*(k + 1)*(k + 2)
Let y = -98/5 - -14411/735. Let u(o) be the second derivative of y*o**7 - 1/70*o**5 - 1/42*o**4 - 2*o + 0*o**2 + 0 + 0*o**3 + 1/105*o**6. Factor u(n).
2*n**2*(n - 1)*(n + 1)**2/7
Factor -2*a**2 - 6*a**3 + 2*a**4 - 27*a**5 - 8*a**4 + 25*a**5.
-2*a**2*(a + 1)**3
Let d(p) = -120*p**2 - 1140*p + 1120. Let g(z) = 7*z**2 + 67*z - 66. Let l(f) = 2*d(f) + 35*g(f). Let l(r) = 0. What is r?
-14, 1
Suppose -t - 5*t + 7*t**2 + 0*t - 4*t**2 = 0. What is t?
0, 2
Let v(o) be the third derivative of -1/24*o**4 + 0 + 1/360*o**6 + 0*o - 1/9*o**3 + 3*o**2 + 0*o**5. Suppose v(a) = 0. Calculate a.
-1, 2
Let y(b) = 4*b**5 - 21*b**4 + 3*b**3 - 13*b**2 - 9. Let a(k) = k**5 - 5*k**4 + k**3 - 3*k**2 - 2. Let h(i) = 18*a(i) - 4*y(i). Factor h(z).
2*z**2*(z - 1)**3
Let o = -20 + 24. Suppose -o*i + i + 6 = 0. What is v in -1/2*v**5 + 0*v**3 + 0*v + 0 + 1/2*v**4 + 0*v**i = 0?
0, 1
Find c, given that -3*c**5 - 6*c**2 + 11 + 6*c**3 + 3*c**4 + 0*c**5 - 3*c - 8 = 0.
-1, 1
Let b(y) be the second derivative of y**5/5 - 3*y**4 + 16*y**3/3 + 11*y. Factor b(z).
4*z*(z - 8)*(z - 1)
Let j be 5 - (-155)/(-30) - 50/(-12). Factor -1/5*l**3 + 1/5*l - 2/5*l**j + 2/5*l**2 + 0.
-l*(l - 1)*(l + 1)*(2*l + 1)/5
Let q(o) be the first derivative of o**5/10 - 3*o**4/4 - 11*o**3/6 + 15*o**2 + 50*o + 29. Let q(j) = 0. Calculate j.
-2, 5
Let g(y) be the second derivative of -y**5/10 + 3*y**4/2 - 9*y**3 + 27*y**2 + 6*y. Factor g(c).
-2*(c - 3)**3
Suppose 4*t - 16 = -2*n, 2*t + 2*n - 3 - 7 = 0. Factor -5 + 5 - 1 + 9*s**2 + t + 11*s.
(s + 1)*(9*s + 2)
Let m = 61256/35 + -1750. Let l(g) be the first derivative of 0*g + 0*g**2 + m*g**5 - 3/14*g**4 + 2 + 2/21*g**3 - 1/21*g**6. Factor l(h).
-2*h**2*(h - 1)**3/7
Factor 22/5*m**2 - 6/5*m**4 + 2/5*m**5 - 24/5*m - 2/5*m**3 + 8/5.
2*(m - 2)*(m - 1)**3*(m + 2)/5
Let b(d) be the third derivative of -d**8/90720 - d**7/7560 - d**6/1620 - d**5/12 - 8*d**2. Let y(r) be the third derivative of b(r). Factor y(z).
-2*(z + 1)*(z + 2)/9
Let q(u) be the third derivative of u**8/672 - u**7/420 - u**6/240 + u**5/120 - 7*u**2. Let q(t) = 0. What is t?
-1, 0, 1
Let v(y) be the first derivative of 0*y**2 - 2/15*y**5 + 1 + 0*y**4 + 0*y + 2/9*y**3. Determine p so that v(p) = 0.
-1, 0, 1
Solve -1/3*n + 4/9*n**2 + 0 - 1/9*n**3 = 0 for n.
0, 1, 3
Let 5/2 + 35/6*k + 5/6*k**3 + 25/6*k**2 = 0. What is k?
-3, -1
Find l such that -1 - 17 - 6*l - 2*l**2 + 6*l - 12*l = 0.
-3
Let i(x) = 3*x**3 + 3*x**2 + 3*x + 10. Let n(a) = a + 1. Let g(z) = i(z) - 2*n(z). Let b(q) be the first derivative of g(q). Find s such that b(s) = 0.
-1/3
Let z(n) be the first derivative of 1/5*n**5 - 1/2*n**4 + 1/6*n**6 + 1/2*n**2 - 2/3*n**3 + n - 1. Let z(l) = 0. Calculate l.
-1, 1
Let p(y) be the first derivative of -y**6/360 + y**5/120 + y**4/12 - 4*y**3/3 - 4. Let r(g) be the