 = -17 + 19. Let v**2 - 8*v + 8*v**3 - 2*v**4 + 4*v**t + 10 + 4*v**4 - 17*v**2 = 0. What is v?
-5, -1, 1
Let p(w) = 12*w**3 - 34*w**2 + 4*w + 4. Let u(a) = 4*a**3 - 36*a**2 + 3*a + 5. Let t(c) = 3*p(c) - 4*u(c). Factor t(x).
2*(x + 2)*(2*x + 1)*(5*x - 2)
Let k(y) be the third derivative of y**9/393120 - y**7/8190 + y**5/20 - 25*y**2. Let j(c) be the third derivative of k(c). Factor j(b).
2*b*(b - 2)*(b + 2)/13
Let j(h) = 33*h**2 - 20*h - 3. Let n(g) be the third derivative of g**5/60 + g**3/6 - 19*g**2. Let z(x) = -j(x) + 5*n(x). Find i, given that z(i) = 0.
-2/7, 1
Let b be (1 - 1)/13*1. Factor -4/15*y**3 + b*y**2 - 2/15 + 2/15*y**4 + 4/15*y.
2*(y - 1)**3*(y + 1)/15
Let b(i) be the first derivative of -2*i**5/65 - 3*i**4/13 - 2*i**3/39 + 24*i**2/13 - 32*i/13 + 297. What is d in b(d) = 0?
-4, 1
Let w(r) be the third derivative of -2/33*r**3 - 1/44*r**4 + 1/660*r**6 - 10*r**2 + 0*r + 0*r**5 + 0. Factor w(g).
2*(g - 2)*(g + 1)**2/11
Determine o so that 10*o**2 + 25*o**3 + 65*o**4 + 58*o**4 + 58*o**4 - 161*o**4 + 5*o**5 = 0.
-2, -1, 0
Let o(s) be the first derivative of 1/2*s**4 - 1/5*s**5 - s**2 + 0*s + 25 + 1/3*s**3. Factor o(z).
-z*(z - 2)*(z - 1)*(z + 1)
Find v, given that -75*v - 93/5 - 12/5*v**2 = 0.
-31, -1/4
Factor -1523*c**2 + 1528*c**2 + 0 - 10*c + 5.
5*(c - 1)**2
Factor 2/9*a**3 - 38/3*a + 6*a**2 + 58/9.
2*(a - 1)**2*(a + 29)/9
Suppose -3 = -f + 56*z - 55*z, -2*z + 15 = 5*f. Suppose -5/2*x - 1/2*x**2 + f = 0. What is x?
-6, 1
Let u be 1 - 13/3 - (552 - 556). Suppose -1/3*w**5 + 0*w**2 + u*w**4 + 0*w**3 + 0*w + 0 = 0. What is w?
0, 2
Let f(v) be the third derivative of v**7/42 - v**6/8 - v**2 + 53. Find g such that f(g) = 0.
0, 3
Let r(n) be the second derivative of n**5/90 - 8*n**4/27 + 13*n**3/27 + 10*n**2/3 - 483*n. What is z in r(z) = 0?
-1, 2, 15
Let p = -19/1027 + 3157/4108. Factor 3/4 - 3/2*f + 0*f**2 + 3/2*f**3 - p*f**4.
-3*(f - 1)**3*(f + 1)/4
Let p(w) be the second derivative of -w**4/12 - 3*w**3 - 16*w**2 + 259*w. Factor p(t).
-(t + 2)*(t + 16)
Find u such that -9*u + 27*u**3 + 0 + 21/2*u**2 + 15/2*u**4 = 0.
-3, -1, 0, 2/5
Suppose 0 = 237*g - 133*g. Suppose g + 4/3*i**4 + 2*i**3 + 1/3*i + 1/3*i**5 + 4/3*i**2 = 0. Calculate i.
-1, 0
Let a(m) be the second derivative of 0*m**3 + 0 + 1/100*m**5 + 0*m**2 + 1/150*m**6 - 1/60*m**4 - 1/210*m**7 + 19*m. Let a(u) = 0. Calculate u.
-1, 0, 1
Let b(r) = -r**3 + 18*r**2 + 19*r + 2. Let d be b(19). Suppose -m**3 + 4*m**3 - 8*m**2 + 0*m**d + m**3 = 0. What is m?
0, 2
Let g(d) be the first derivative of -2*d**3/3 - 7*d**2/3 - 8*d/3 - 39. Let g(t) = 0. What is t?
-4/3, -1
Suppose 0 = 20*m - 25*m - 255. Let z = 103/2 + m. Factor -l + 0*l**3 + 0 - 3/2*l**2 + z*l**4.
l*(l - 2)*(l + 1)**2/2
Find m, given that 804 - 636 - m**2 - m**2 - 16*m = 0.
-14, 6
Determine y, given that 126/11*y + 60/11*y**2 + 64/11 - 2/11*y**3 = 0.
-1, 32
Let u(w) be the first derivative of -2*w**7/175 + w**6/200 - 2*w**2 + 10. Let c(f) be the second derivative of u(f). Factor c(l).
-3*l**3*(4*l - 1)/5
Let x be ((-8)/1)/(445/(-267)). Let -x*v - 48/5 - 3/5*v**2 = 0. Calculate v.
-4
Let h(i) be the second derivative of i**5/25 - i**4/3 + 4*i**3/15 + 16*i**2/5 + i + 19. Factor h(c).
4*(c - 4)*(c - 2)*(c + 1)/5
Suppose 3*g + z = 41 + 52, 0 = 5*g - 4*z - 172. Find x, given that -22*x + g*x - 5*x**2 + 0 - 5 = 0.
1
Let l(p) be the second derivative of -9*p - 4*p**3 + 1/6*p**4 + 0 + 36*p**2. Factor l(r).
2*(r - 6)**2
Let o(v) = 5*v**2 - 6*v + 29. Let l(t) = -t**2 + 4*t - 1. Let r(a) = 4*l(a) + o(a). Factor r(y).
(y + 5)**2
Suppose 41*u - 18*u = 92. Let y(p) be the second derivative of -1/10*p**3 - 7/100*p**5 + 1/5*p**4 - u*p + 0 - 1/5*p**2. Factor y(x).
-(x - 1)**2*(7*x + 2)/5
Let r(h) be the second derivative of -h**6/165 + 9*h**5/55 - 37*h**4/66 - 12*h**3 - 44*h**2 + 550*h. Factor r(p).
-2*(p - 11)**2*(p + 2)**2/11
Let p(j) = -j**3 - 6*j**2 - 5*j + 3. Let h be p(-5). Suppose -8 = -c + 5*n, -4 = 4*c + 3*n - 13. Factor -64*d - 6*d**c + h*d**2 + 64*d.
-3*d**2*(2*d - 1)
Let i(u) be the third derivative of 1/24*u**4 + 1/360*u**6 + 0 + 4*u**2 - 1/60*u**5 - 1/3*u**3 + 0*u. Let t(f) be the first derivative of i(f). Factor t(z).
(z - 1)**2
What is h in 168*h**3 - 8*h**4 + 1 - 28*h**5 + 20*h - 5 - 176*h**2 + 28 = 0?
-3, -2/7, 1
Let c(g) be the second derivative of -g**5/70 - 4*g**4/21 + 11*g**3/21 + 18*g**2/7 + 70*g. Let c(a) = 0. What is a?
-9, -1, 2
Let m(z) be the first derivative of -z**6/60 + z**5/20 + z**4/24 - z**3/6 - 14*z + 1. Let f(r) be the first derivative of m(r). Factor f(o).
-o*(o - 2)*(o - 1)*(o + 1)/2
Factor t**3 + 24*t - 2*t**2 - 16 - 45*t**2 + 38*t**2.
(t - 4)**2*(t - 1)
Let j(u) be the second derivative of -41*u**6/105 + 3*u**5/5 - u**4/42 - 259*u. Factor j(x).
-2*x**2*(x - 1)*(41*x - 1)/7
Let j(v) be the second derivative of -v**7/840 - v**6/480 + v**5/240 + v**4/96 + 15*v**2/2 + 7*v. Let a(b) be the first derivative of j(b). Factor a(n).
-n*(n - 1)*(n + 1)**2/4
Let a = 3136 - 12537/4. Let -5/4*l**3 - 3/4*l + 1/4*l**4 + 0 + a*l**2 = 0. What is l?
0, 1, 3
Suppose -u = -2*u. Let b(r) = 3*r. Let j be b(u). Factor 0 + 0*q**2 + j*q - 1/2*q**3 + q**4.
q**3*(2*q - 1)/2
Let q be 139519/35658 + (-1)/18. Suppose 6/7*n**4 + 0 + 0*n + q*n**3 - 6/7*n**2 - 27/7*n**5 = 0. Calculate n.
-1, 0, 2/9, 1
Let k be (-189)/(-35)*(-52)/(-3). Let n = -93 + k. Factor -n - 27/5*b - 48/5*b**3 - 72/5*b**2.
-3*(b + 1)*(4*b + 1)**2/5
Factor -2/7*w**2 - 24 + 50/7*w.
-2*(w - 21)*(w - 4)/7
Let m(x) be the second derivative of 13*x**4/3 - 10*x**3 + 4*x**2 - 160*x. Find g, given that m(g) = 0.
2/13, 1
Let b = -4 - -17. Factor -5*j**2 - 15*j**3 + 3 - 7*j**3 - 25*j + 32*j**3 - b.
5*(j - 2)*(j + 1)*(2*j + 1)
Let x be (-4)/(-10)*5*19. Let r = x + -26. Let 0*i + 3*i**4 - 5*i**2 - 4*i**2 - r - 6*i**3 + 24*i = 0. What is i?
-2, 1, 2
Let d(w) = -20*w**4 - 2336*w**3 + 132*w**2 + 2280*w + 56. Let h(l) = l**4 + 123*l**3 - 7*l**2 - 120*l - 3. Let u(g) = 3*d(g) + 56*h(g). Factor u(i).
-4*i*(i - 1)*(i + 1)*(i + 30)
Let n(v) = v**2 - 4*v - 1. Let c be n(5). Suppose -c*o + 8 = 4*z, z - 4*z + 8 = 5*o. Factor -4 - b**3 + 5 - z - b**4 + b + b**2.
-b*(b - 1)*(b + 1)**2
Let n(b) = -3*b**3 - 53*b**2 + 46*b + 5. Let y(j) = -3*j**3 - 54*j**2 + 45*j + 6. Let a(t) = -6*n(t) + 5*y(t). Find r such that a(r) = 0.
-17, 0, 1
Suppose -4*d = q - 0*d + 15, 0 = -3*q - 2*d + 5. Factor 12*o**2 + 0*o**5 - 8*o - 12*o**4 + 7*o**5 - 10*o**q + 7*o**5 + 4*o**3.
4*o*(o - 2)*(o - 1)**2*(o + 1)
Let w(n) be the third derivative of -n**5/20 - n**4/8 + 21*n**3 + 2*n**2 + 67. Factor w(k).
-3*(k - 6)*(k + 7)
Let c be ((-2)/14)/(36/(-21)). Let r(q) be the third derivative of 0 + 0*q + 0*q**3 + c*q**4 + 0*q**5 - 1/60*q**6 + 5*q**2. Let r(o) = 0. What is o?
-1, 0, 1
Suppose -26*j - 60 = -32*j. Let z(d) be the first derivative of -4/5*d**5 + 1/4*d**4 + 0*d - 1/2*d**6 + 2/3*d**3 + 0*d**2 - j. Factor z(t).
-t**2*(t + 1)**2*(3*t - 2)
Let b(p) = -3*p**5 + 11*p**4 + 3*p**3 - p**2. Let i(j) = -j**5 + 5*j**4 + j**3 - j**2. Let o(d) = -2*b(d) + 5*i(d). Factor o(h).
h**2*(h - 1)*(h + 1)*(h + 3)
Let n be 2/11 - -1*(-13080)/66. Let f = 198 + n. Factor 4/3*x**3 - 4/3*x + f + 0*x**2.
4*x*(x - 1)*(x + 1)/3
Let j = 8454 + -8450. Factor 2/3 - x**2 - 1/3*x + 1/3*x**j + 1/3*x**3.
(x - 1)**2*(x + 1)*(x + 2)/3
Find c such that 13*c + c**2 + 32 + 288 + 5*c + 305 + 32*c = 0.
-25
Let q(g) = -15*g**4 - 9*g**3 + 15*g**2 + 9*g. Let x(i) = -3*i**4 - 2*i**3 + 3*i**2 + 2*i. Let b(z) = 4*q(z) - 21*x(z). Factor b(d).
3*d*(d - 1)*(d + 1)*(d + 2)
Let k(v) be the third derivative of v**5/12 + 5*v**4/3 - 55*v**3/2 - 72*v**2. Factor k(r).
5*(r - 3)*(r + 11)
Let z(y) = -y - 1. Let g(o) = o**2 - 5*o + 6. Let b(j) = -j + 1. Let i(q) = 5*b(q) - g(q). Let s(c) = -i(c) + z(c). Factor s(l).
l*(l - 1)
Let d(n) be the third derivative of -n**7/525 + n**6/30 - 4*n**5/25 - 8*n**4/15 + 128*n**3/15 - 5*n**2 + 10. Find b, given that d(b) = 0.
-2, 4
Let t be ((-17)/(-850))/(4/10). Let s(n) be the second derivative of -n + 3/4*n**2 + 1/4*n**3 + 0 + 1/28*n**7 - 1/4*n**4 + t*n**6 - 3/20*n**5. Factor s(k).
3*(k - 1)**2*(k + 1)**3/2
Suppose -3*v + 15 = 3. Let o(u) = -7*u + 1. Let x be o(-2). Solve -33*r - 4*r**v + 38*r - r**4 + x*r**3 - 15*r**2 = 0 for r.
0, 1
Let c = 4 - -4. Suppose 4*l = 5*l - c. Solve k**5 - 13 + 5 + l - k**3 = 0 for k.
-1, 0, 1
Let t(l) b