**3 + 2*p**4 = 0.
-5, 7
Suppose 2/3*s**4 + 10*s**3 + 14*s + 122/3*s**2 - 196/3 = 0. What is s?
-7, -2, 1
Let t = 340 - 340. Let i(v) be the first derivative of 3/20*v**4 + 1 + 3/25*v**5 + 0*v**3 + t*v + 0*v**2. Factor i(q).
3*q**3*(q + 1)/5
Let q(s) be the third derivative of s**7/210 - s**5/60 - 46*s**2. Suppose q(i) = 0. Calculate i.
-1, 0, 1
Find z such that 28/5*z + 98/5 + 2/5*z**2 = 0.
-7
Let p(x) be the second derivative of x**4/18 - 64*x**3/9 + 1024*x**2/3 - 650*x. Suppose p(m) = 0. What is m?
32
Let a(s) be the second derivative of -1/15*s**6 - 2/15*s**3 + 0*s**2 - 24*s - 1/15*s**7 + 9/50*s**5 + 1/6*s**4 + 0. Suppose a(t) = 0. What is t?
-1, 0, 2/7, 1
Let r(t) = -t**2 + 13*t - 35. Let n be r(8). What is j in -9*j**2 + 3*j**3 - 3*j**3 + 24*j**2 - n*j**4 - 10*j = 0?
-2, 0, 1
Let a be ((-2 - -2) + -1)/(-1). Let l(s) = 2*s**2 - a - 4*s + 3*s - s**2. Let x(j) = j**2 + 8*j + 5. Let y(i) = -2*l(i) - x(i). Suppose y(v) = 0. Calculate v.
-1
Suppose -18*p + 150 = -30. Let d(k) = 5*k - 47. Let q be d(p). Factor 0 - 2/17*s**2 + 2/17*s**4 + 0*s + 0*s**q.
2*s**2*(s - 1)*(s + 1)/17
Let z(y) = -14*y**4 + 44*y**3 + 99*y**2 - 85*y - 26. Let x(m) = 42*m**4 - 134*m**3 - 298*m**2 + 254*m + 76. Let s(d) = -3*x(d) - 10*z(d). Solve s(n) = 0 for n.
-2, -2/7, 1, 4
Suppose 52/7*f**2 + 4/7*f**4 + 110/7*f**3 - 54/7*f + 0 = 0. What is f?
-27, -1, 0, 1/2
Let k(g) be the second derivative of g**6/210 - g**5/35 - 19*g**4/84 - g**3/3 - 40*g + 9. Factor k(f).
f*(f - 7)*(f + 1)*(f + 2)/7
Let u(b) be the third derivative of -b**5/600 + b**4/40 - 43*b**2 + 1. Factor u(o).
-o*(o - 6)/10
Let f(x) be the first derivative of 3*x**5/5 + 5*x**4/2 - 28*x**3/3 - 5*x**2 + 25*x - 210. Determine a so that f(a) = 0.
-5, -1, 1, 5/3
Let q = -529583/11 - -48144. Factor 6/11*b + q*b**3 + 0 - 5/11*b**2.
b*(b - 3)*(b - 2)/11
Let x(o) be the third derivative of -1/9*o**3 + 0*o**4 + 0 + 0*o + 1/90*o**5 + 24*o**2. Factor x(p).
2*(p - 1)*(p + 1)/3
Suppose 0 = -46*d - 9*d + 605. Let b(g) be the first derivative of 20*g + d + 5/3*g**3 - 10*g**2. Factor b(v).
5*(v - 2)**2
Let x be 28/(-63)*(-9)/2. What is g in 0*g - 3/5*g**4 - 3/5*g**x - 6/5*g**3 + 0 = 0?
-1, 0
Let i(x) = 0 + 4 + 3 + x + 6. Let z be i(-10). Factor 2*h**2 + 0*h**3 - 2*h - 2*h**4 - h**z + 0*h**4 + 3*h**3.
-2*h*(h - 1)**2*(h + 1)
Let n(m) be the first derivative of 1/39*m**6 + 68/39*m**3 + 19 + m**4 + 21/13*m**2 + 18/65*m**5 + 10/13*m. Factor n(c).
2*(c + 1)**4*(c + 5)/13
Let o(i) = 5*i**2 + 19*i + 137. Let k(n) = n**2 + 3*n + 23. Let h(d) = 34*k(d) - 6*o(d). Factor h(u).
4*(u - 5)*(u + 2)
Let a = 44 + -41. Determine v so that v**2 - v - 3 + 2*v**3 + 7 - 5 - v**a = 0.
-1, 1
Let h = -9/11 - -119/132. Let t(f) be the first derivative of 0*f**2 + 6 + 0*f + h*f**4 + 1/9*f**3. Suppose t(c) = 0. Calculate c.
-1, 0
Suppose -l - 4*s + 15 = 0, -l - 4*l = 2*s - 21. Let m(r) = -7*r**2 + 3*r + 7. Let h(n) = -8*n**2 + 4*n + 8. Let t(j) = l*h(j) - 4*m(j). Factor t(p).
4*(p - 1)*(p + 1)
Suppose 2*z + 0*z + 3*g = 3, 0 = z - 2*g - 5. Factor 25*s**2 + 10*s**2 - 15 - 4*s + 26*s**3 - s - s**z.
5*(s + 1)**2*(5*s - 3)
Factor -d**2 - 26 + 1109 - 114*d - d**2 + 2*d**2 + 3*d**2.
3*(d - 19)**2
Let c be 1/1*(5 - -7). Let z be ((-20)/c)/((-3)/81). Let -154*a**4 - 64*a + 7*a**3 - 41*a**3 + 0 + 8 + 146*a**2 + 53*a**5 + z*a**5 = 0. What is a?
-1, 2/7, 1
Let y(z) = z**5 - 17*z**4 + 40*z**3 - 45*z + 25. Let o(d) = -3*d**5 + 32*d**4 - 77*d**3 - d**2 + 90*d - 51. Let c(a) = -2*o(a) - 5*y(a). Factor c(n).
(n - 1)**3*(n + 1)*(n + 23)
Let b(s) be the first derivative of s**4/2 - 5*s**3 - 4*s**2 + 33. Let j be b(8). Factor -1/5*h**2 + 0*h + j.
-h**2/5
Let w(h) be the first derivative of -h**8/840 - h**7/420 + h**6/90 + 8*h**3/3 - 12. Let u(c) be the third derivative of w(c). What is v in u(v) = 0?
-2, 0, 1
Determine k so that -3/5*k**4 + 33*k**2 + 219/5*k + 33/5*k**3 + 18 = 0.
-2, -1, 15
Let c(b) = 4*b**2 + 5*b + 4. Let p(m) be the third derivative of -m**4/24 + 13*m**2. Let y(j) = -c(j) + 3*p(j). Factor y(q).
-4*(q + 1)**2
Let c(z) be the third derivative of z**5/100 - 23*z**4/4 + 2645*z**3/2 + z**2 - 74. Factor c(s).
3*(s - 115)**2/5
Determine a so that 3*a**4 + 11*a**3 + 19/2*a**2 - 45/4*a + 1/4*a**5 - 25/2 = 0.
-5, -2, -1, 1
Let g(x) be the first derivative of -15 + 20/3*x**2 - 160/3*x - 5/18*x**3. Factor g(a).
-5*(a - 8)**2/6
Let h = 628 + -625. Let q(m) be the first derivative of 11/14*m**4 - 4/21*m**6 - 4/7*m - 2/7*m**5 - h + 2/3*m**3 - m**2. Determine y so that q(y) = 0.
-2, -1, -1/4, 1
Let p be (-50)/20*1/5. Let m = p - -7/6. Factor 2/3*c + 0 + m*c**2.
2*c*(c + 1)/3
Let k(b) be the third derivative of -b**6/80 - 181*b**5/40 - 359*b**4/16 - 179*b**3/4 - b**2 - 31. Let k(x) = 0. Calculate x.
-179, -1
Let b(h) be the third derivative of -2*h**7/21 + 7*h**6/8 - h**5/12 - 35*h**4/8 + 25*h**3/6 + 47*h**2 - 1. Find i such that b(i) = 0.
-1, 1/4, 1, 5
Factor 0 - 4/3*m - 7/6*m**3 - 3*m**2 + 1/2*m**4.
m*(m - 4)*(m + 1)*(3*m + 2)/6
Let k(t) be the third derivative of -t**8/90720 + t**7/7560 + t**6/810 + 3*t**5/20 - 3*t**2. Let d(c) be the third derivative of k(c). Factor d(m).
-2*(m - 4)*(m + 1)/9
Let n be 1/(2/12) + 11 + (-5220)/396. Determine h so that -18/11 + 24/11*h + n*h**2 = 0.
-1, 3/7
Let q(h) be the second derivative of 0 + 7*h - 7/12*h**3 - 1/48*h**4 - 49/8*h**2. Determine a, given that q(a) = 0.
-7
Suppose -15*o = 30*o - 3*o - 11*o. What is u in 1/2*u**3 + o - 1/2*u**2 + 0*u = 0?
0, 1
Let s(c) = 2*c**2 + c. Let v(n) = 69*n**2 - 81*n - 6. Let t(y) = 6*s(y) + v(y). Determine d so that t(d) = 0.
-2/27, 1
Let z(v) be the second derivative of -v**4/12 - 7*v**3/3 + 6*v**2 - 9*v. Let p be z(-14). Factor -g**2 - g**2 - 9 - g**2 + p*g.
-3*(g - 3)*(g - 1)
Let -15/4*a**5 + 36*a + 0*a**3 - 81/4*a**4 + 0 + 93*a**2 = 0. Calculate a.
-4, -3, -2/5, 0, 2
Let u(s) be the second derivative of s**10/15120 + s**9/7560 - s**8/3360 - s**7/1260 + s**4/3 - 12*s. Let j(g) be the third derivative of u(g). Factor j(h).
2*h**2*(h - 1)*(h + 1)**2
Let v = 59081/167454 + -3/3101. Let q = -1/54 + v. What is y in -8/3*y - q*y**5 - 1/3*y**4 + 4/3 + 5/3*y**3 + 1/3*y**2 = 0?
-2, 1
Let j(v) be the first derivative of -2 - 2/3*v + 0*v**4 + 0*v**2 + 4/9*v**3 - 2/15*v**5. Find q such that j(q) = 0.
-1, 1
Let q(f) be the second derivative of 1/10*f**5 + f**2 + 0 - 6*f + 1/15*f**6 - 1/3*f**4 - 1/6*f**3 - 1/42*f**7. Factor q(k).
-(k - 2)*(k - 1)**2*(k + 1)**2
Suppose 6 = 2*o - 2. Suppose -5*x - o*i = -0*x, -2*x - 2*i = 2. Factor -x*u**2 - 2 + 4*u**4 - 6*u**5 + 4*u**5 + 0*u - 4*u**3 + 6*u + 2*u**4.
-2*(u - 1)**4*(u + 1)
Let n(k) be the second derivative of k**8/1680 + k**7/350 + k**6/600 - k**5/100 - k**4/60 + 2*k**2 + k. Let m(g) be the first derivative of n(g). Factor m(h).
h*(h - 1)*(h + 1)**2*(h + 2)/5
Factor 14/9*k**2 - 2/9*k**5 - 4/9*k - 2*k**3 + 10/9*k**4 + 0.
-2*k*(k - 2)*(k - 1)**3/9
Let i(d) be the third derivative of -d**5/45 + d**4/9 + 16*d**3/9 + 4*d**2 + 15. Let i(n) = 0. What is n?
-2, 4
Let n(c) be the third derivative of 5*c**8/1848 - 19*c**7/1155 + 7*c**6/660 + 19*c**5/330 - c**4/11 + 6*c**2 - 56*c. Solve n(s) = 0.
-1, 0, 4/5, 1, 3
Let v = -141 - -283/2. Factor 0 + v*q + 1/4*q**2 - 1/4*q**3.
-q*(q - 2)*(q + 1)/4
Suppose -12*q = -56 - 64. Let b be q*((-80)/(-25) + -3). Let 0*v - b*v**3 + 0 + 4/5*v**2 - 2/5*v**5 + 8/5*v**4 = 0. Calculate v.
0, 1, 2
Let p = 6 - 13. Let r(n) = -n + 7. Let z be r(p). Determine j so that -6*j - z*j + 156*j**2 + 119*j**4 + 70*j**4 - 306*j**3 - 4*j = 0.
0, 2/7, 2/3
Let v(y) = -20*y**3 - 785*y**2 - 1450*y - 730. Let b(z) = -3*z**3 - 112*z**2 - 207*z - 104. Let q(x) = 15*b(x) - 2*v(x). Factor q(d).
-5*(d + 1)**2*(d + 20)
Suppose 3*o - 20 = -5. Factor 2*n + 23*n**o - 3*n**4 + n**2 + 2*n**2 - 18*n**5 - 7*n**3.
n*(n - 1)**2*(n + 1)*(5*n + 2)
Let j(r) be the second derivative of -r**6/75 - 7*r**5/50 - r**4/3 + 6*r. Factor j(y).
-2*y**2*(y + 2)*(y + 5)/5
What is r in 14406 - 294*r + 3/2*r**2 = 0?
98
Let p(f) be the first derivative of -2*f**5/5 + 4*f**4 - 16*f**3 + 32*f**2 - 32*f + 189. Find q such that p(q) = 0.
2
Let w(h) be the second derivative of -2*h**4/3 + 17*h**3/3 + 42*h**2 + 505*h. Factor w(s).
-2*(s - 6)*(4*s + 7)
Let m = -15 + 18. Find v such that -5*v - v**m + 6*v + 8*v**2 + 5*v**3 + 3*v = 0.
-1, 0
Factor -318 + 2*a - 4*a**4 - 5*a**2 + 4*a**3 + 0*a**3 +