*p**2 - 4*p**3 + 2*p. Find j, given that z(j) = 0.
-2, -2/5
Let 4*s**3 + 3*s + 0 - 5/2*s**4 + 19/2*s**2 = 0. What is s?
-1, -2/5, 0, 3
Let p(j) = -9*j**3 - 27*j**2 - 7*j - 11. Let t(a) = 3*a**3 + 9*a**2 + 2*a + 4. Let g(l) = -4*p(l) - 11*t(l). Factor g(m).
3*m*(m + 1)*(m + 2)
Suppose -8 + 16*p**2 + 10*p**5 + 2*p + 4*p**4 - 38*p**5 - 30*p - 12*p**4 + 56*p**3 = 0. Calculate p.
-1, -2/7, 1
Suppose -28 = -2*b + 6*b. Let r = -5 - b. Factor -4*g - 4*g + 4*g**2 + 5 + 3 - r*g**2.
2*(g - 2)**2
Factor 5*f**4 + 2*f**2 - 17*f**2 + 16*f - 6*f.
5*f*(f - 1)**2*(f + 2)
Factor 1/4*w**3 + 7/4*w + 5/4*w**2 + 3/4.
(w + 1)**2*(w + 3)/4
Suppose 0*m**3 + 0*m**2 + 1/7*m**5 + 1/7*m**4 + 0*m + 0 = 0. What is m?
-1, 0
Let w(d) be the first derivative of -d**3/24 - d**2/2 - 2*d - 10. Solve w(k) = 0.
-4
Factor 0 - 2/7*s**2 + 0*s.
-2*s**2/7
Suppose 0 = -4*g + 4*n + 24, 4*g - 5*n = 36 - 8. Let m(d) be the first derivative of -g + 1/6*d**2 - 2/9*d**3 + 0*d + 1/12*d**4. Factor m(h).
h*(h - 1)**2/3
Let z be ((-243)/6)/(-9) - 4. Let k(d) be the second derivative of -3/56*d**7 + 17/80*d**5 + d + 7/48*d**4 + 0 - 1/40*d**6 - z*d**2 - 1/3*d**3. Solve k(f) = 0.
-1, -2/3, 1
Let d(b) be the first derivative of b**6/27 + 8*b**5/45 + 2*b**4/9 - 4*b**3/27 - 5*b**2/9 - 4*b/9 + 6. Factor d(l).
2*(l - 1)*(l + 1)**3*(l + 2)/9
Suppose 2*n + 10 = 7*n. Determine c, given that -3*c**2 + 1 + 6*c**2 - 3*c**2 - c**n = 0.
-1, 1
Let g(n) = n**2 + 8*n - 6. Let x be g(-9). Factor 0*m + 0*m**4 + 9*m**4 + 12*m**3 - x*m**2 - 6*m.
3*m*(m + 1)**2*(3*m - 2)
Suppose -2*s + 21 = -5*s + 2*d, 0 = 4*s + 4*d + 8. Let c(y) = -3*y**2 - 2*y + 1. Let x(n) = 2*n**2 + 2*n. Let j(k) = s*x(k) - 4*c(k). Factor j(f).
2*(f - 2)*(f + 1)
Factor 1/3 - r**4 + 2/3*r**2 - 1/3*r**5 + r - 2/3*r**3.
-(r - 1)*(r + 1)**4/3
Let o(c) be the first derivative of 3*c**4/8 - 5*c**3/2 + 21*c**2/4 - 9*c/2 + 6. Factor o(t).
3*(t - 3)*(t - 1)**2/2
Let w(v) be the third derivative of 5*v**8/336 - v**7/42 - v**6/24 + v**5/12 - 8*v**2. Factor w(x).
5*x**2*(x - 1)**2*(x + 1)
Suppose 0 = -0*l + 3*l. Let f(j) be the first derivative of 0*j**2 - 1/12*j**3 - 1 + 1/16*j**4 + l*j. Factor f(s).
s**2*(s - 1)/4
Let t(v) be the third derivative of -v**5/60 + v**3/6 - 5*v**2. Let i(h) = h**2 + 6*h - 7. Let k be 2*-1 + 10/2. Let g(s) = k*t(s) + i(s). Factor g(u).
-2*(u - 2)*(u - 1)
Suppose v = 3*v + 4*v. Find l such that -2*l**4 - 4/5*l**5 - 2/5*l**3 + 4/5*l**2 + v + 0*l = 0.
-2, -1, 0, 1/2
Let r(q) be the third derivative of q**5/15 + q**4/2 + 4*q**3/3 - 10*q**2. Solve r(p) = 0 for p.
-2, -1
Factor 3*p**2 + 2 - 5*p**2 - 3*p**2 + 3*p**2.
-2*(p - 1)*(p + 1)
Let u(z) be the second derivative of 1/21*z**3 + 0*z**5 + 0*z**2 - 1/147*z**7 - 5*z + 2/105*z**6 - 1/21*z**4 + 0. Determine y, given that u(y) = 0.
-1, 0, 1
Let b = -2 + 7. What is x in -x**b - x**3 + 2*x**4 + x - 2*x**2 + x**3 = 0?
-1, 0, 1
Let m(a) be the third derivative of a**8/672 + a**7/420 - a**6/120 - a**5/60 + a**4/48 + a**3/12 + 8*a**2. Solve m(x) = 0 for x.
-1, 1
Let k(z) = 2 + 5*z**3 + 6*z - 2. Let s = 5 + -10. Let n(m) = 4*m**3 + 5*m. Let w(v) = s*k(v) + 6*n(v). Factor w(i).
-i**3
Let i(t) be the second derivative of t**7/2100 - t**3/2 + 2*t. Let x(o) be the second derivative of i(o). Let x(u) = 0. Calculate u.
0
Let u(c) be the first derivative of 3*c**4/16 - c**3/2 - 9*c**2/8 - 52. Factor u(m).
3*m*(m - 3)*(m + 1)/4
Let h(c) = 10*c**3 + 20*c**2 + 23*c + 4. Let d(y) = -11*y**3 - 19*y**2 - 24*y - 4. Let o(b) = 3*d(b) + 4*h(b). Suppose o(n) = 0. What is n?
-2, -1, -2/7
Let n(x) be the third derivative of 0*x**4 + 0 + 0*x**3 + x**2 - 2/105*x**7 + 1/24*x**6 + 0*x - 1/30*x**5 + 1/336*x**8. Solve n(o) = 0.
0, 1, 2
Let x(b) be the second derivative of -b**6/1800 - b**5/300 - b**4/120 - b**3/6 + 2*b. Let k(l) be the second derivative of x(l). Find y, given that k(y) = 0.
-1
Suppose 32 = 4*g + 2*o, 2*g - 2*o = -0*o + 22. Let m(s) = s**2 - 9*s + 2. Let q be m(g). Find r, given that 2*r + q*r**3 - 1/2*r**4 - 3*r**2 - 1/2 = 0.
1
Let r(h) be the first derivative of 2*h**3/21 - 4*h**2/7 + 6*h/7 - 6. Factor r(y).
2*(y - 3)*(y - 1)/7
Factor -7*v**4 + 17 + 10 + 8*v**3 + v**5 + 16*v**2 - 27.
v**2*(v - 4)**2*(v + 1)
Let p(l) = 15*l**2 - 2*l + 13. Let c(u) = -u - 1. Let q(s) = -5*c(s) + p(s). Let k(a) = -a**2 - a - 1. Let r(z) = 12*k(z) + q(z). Factor r(n).
3*(n - 2)*(n - 1)
Factor -43*k + 3*k**2 + 218 + 72*k + 457 + 61*k.
3*(k + 15)**2
Let o(w) = w**3 + 4*w**2 + 3*w + 12. Let q be o(-4). Factor 19/2*l**4 + 1/2*l**2 - l + q + 15/2*l**3 + 7/2*l**5.
l*(l + 1)**3*(7*l - 2)/2
Let s(z) be the third derivative of -z**6/360 - z**3/3 + z**2. Let t(b) be the first derivative of s(b). Find d, given that t(d) = 0.
0
Determine l so that l**3 - 1/2*l**4 + 0*l**2 + 1/2 - l = 0.
-1, 1
Factor 140*y**5 - 135*y**5 - 7*y**3 + 3*y**2 + 3*y - 3*y**4 - y.
y*(y - 1)**2*(y + 1)*(5*y + 2)
Let n(x) be the second derivative of 2*x**6/15 + 4*x**5/5 + x**4 - 8*x**3/3 - 8*x**2 - 35*x. Determine z, given that n(z) = 0.
-2, -1, 1
Suppose -5*i = 76 - 91. Let y(q) be the first derivative of 0*q**2 + 1/5*q**5 + 0*q**4 + 2 - 2/3*q**i + q. Suppose y(l) = 0. What is l?
-1, 1
Let b(i) be the second derivative of -i**6/80 - 3*i**5/80 - i**4/32 - 43*i. What is v in b(v) = 0?
-1, 0
Let n be (-1 - -2)/(432/56 + -7). What is f in 11/5*f**2 + 12/5*f - n*f**4 - 12/5*f**3 - 4/5 = 0?
-2, -1, 2/7, 1
Let w be (-155)/(-40) - 2/(-16). Let q(m) be the second derivative of 0*m**3 - m + 1/54*m**w + 0 + 0*m**2. Solve q(s) = 0.
0
Suppose 16 = 2*d + 2*q, 0 = 2*d + 2*d + 2*q - 36. Factor 8 - 10*o**2 + 14*o**2 - 2*o - d*o.
4*(o - 2)*(o - 1)
Let n(w) = 36*w**4 - 22*w**3 - 44*w**2 + 22*w + 2. Let j(l) = 36*l**4 - 23*l**3 - 44*l**2 + 23*l + 3. Let f(u) = 6*j(u) - 5*n(u). Factor f(m).
4*(m - 1)**2*(m + 1)*(9*m + 2)
Let q be (-4)/10*-5 - -11. Factor -r - 3 + q*r - 6*r - 3*r**2.
-3*(r - 1)**2
Let s(g) be the second derivative of 0*g**2 - 4*g + 1/20*g**5 + 0 - 1/6*g**4 - 1/180*g**6 + 1/6*g**3. Let k(o) be the second derivative of s(o). Factor k(w).
-2*(w - 2)*(w - 1)
Suppose 4*f + 2*i - 19 = i, 0 = -4*i - 4. Factor -d**2 - d - d**f - 3*d**2 + 2*d**2 + 2*d**3 - d**4 - 1 + 4*d**2.
-(d - 1)**2*(d + 1)**3
Let b be ((-9)/(3 + 0))/(-1). Suppose 11 - 2 = b*m. Factor 2/5*r**m - 2/5*r**2 + 2/5 - 2/5*r.
2*(r - 1)**2*(r + 1)/5
Let b(w) = w**5 - 4*w**4 + 7*w**3 + 8*w**2 - 4*w. Let z(t) = t**5 - 4*t**4 + 6*t**3 + 7*t**2 - 4*t. Let h(i) = 3*b(i) - 4*z(i). Factor h(x).
-x*(x - 2)**2*(x - 1)*(x + 1)
Let o be (-4)/(-6) - 10/15. Let z = 1/68 + 4/17. Factor 0*i + z*i**3 + o + 1/4*i**2.
i**2*(i + 1)/4
Let f(i) be the third derivative of 7*i**6/660 - 19*i**5/330 - i**4/22 - 2*i**2 + 1. Determine v, given that f(v) = 0.
-2/7, 0, 3
Suppose -2*z + 6 = -4. Let o = 16 - 14. Let 8*c + 2 - z*c**o - 2 + 4 = 0. What is c?
-2/5, 2
Let b(g) be the second derivative of -g**6/30 - 7*g**5/60 - g**4/12 + g**3/6 - g**2 + 7*g. Let m(s) be the first derivative of b(s). Let m(q) = 0. What is q?
-1, 1/4
Let t(n) = 8*n**4 + 25*n**3 + 17*n**2 - 9*n - 9. Let y(s) = -4*s**4 - 12*s**3 - 8*s**2 + 4*s + 4. Let r(b) = -2*t(b) - 5*y(b). Determine a so that r(a) = 0.
-1, 1/2
Let i(f) be the first derivative of 5 + 0*f + 1/4*f**3 - 3/8*f**2. Factor i(j).
3*j*(j - 1)/4
Suppose -c = -4*c + 12. Let c*r - 4 + 2*r**2 + 2*r**2 - 4 = 0. Calculate r.
-2, 1
Let t(y) be the second derivative of y**6/30 - 3*y**5/10 + 3*y**4/4 + 2*y**3/3 - 6*y**2 - 13*y. What is j in t(j) = 0?
-1, 2, 3
Let z(o) be the first derivative of o**4/12 - 5*o**3/9 + 4*o**2/3 - 4*o/3 - 31. Solve z(a) = 0.
1, 2
Solve -84*c**2 + 3*c**5 - 12*c**4 + 21*c**3 + 75*c**2 - 3*c**4 = 0 for c.
0, 1, 3
Let d(f) be the first derivative of -3*f**4/32 + f**3/4 - 3*f**2/16 - 14. Factor d(y).
-3*y*(y - 1)**2/8
Let f(s) be the second derivative of -s**7/21 - 17*s**6/90 - s**5/4 - s**4/12 + s**3/18 + 14*s. Factor f(d).
-d*(d + 1)**3*(6*d - 1)/3
Let t(b) be the first derivative of -b**3 - 3*b**2 + 5. Factor t(y).
-3*y*(y + 2)
Let q(l) = -3*l**2 + 3*l + 5. Let g(h) = -4*h**2 + h + 2*h + 2*h**2 + 4 - h. Let c(k) = 5*g(k) - 4*q(k). Determine p, given that c(p) = 0.
0, 1
Let x(t) be the second derivative of 5*t**7/42 - t**6 + t**5 + 5*t**4/2 - 25*t**3/6 - 39*t + 1. Suppose x(v) = 0. Calculate v.
-1, 0, 1, 5
Let o(m) be the third derivative of -3*m**5/10 + m**4 - 4*m**3/3 + 6*m**2. Factor