**i - 16*t + 3 - 4/3*t**3 - 7*t**4 + 16*t**2. Solve a(z) = 0.
-1, 1, 2
Let j(w) be the second derivative of 10*w + 0*w**2 - 1/4*w**5 + 0*w**3 + 0 + 5/12*w**4. Find l such that j(l) = 0.
0, 1
Let c(y) be the first derivative of -y**3/9 - 4*y**2 - 48*y + 70. Factor c(p).
-(p + 12)**2/3
Let f(m) be the second derivative of 1/4*m**5 - 5/42*m**7 - 5/12*m**4 + 0 + 1/6*m**6 + 0*m**2 + 0*m**3 - 13*m. Determine h, given that f(h) = 0.
-1, 0, 1
Let l(p) be the first derivative of -p**8/504 + p**6/90 - p**4/36 + 5*p**2/2 - 6. Let h(i) be the second derivative of l(i). Factor h(g).
-2*g*(g - 1)**2*(g + 1)**2/3
Suppose 0 = 25*p + 26*p - 241 + 88. Let -27/2*g**2 - 21/2*g**p - 3*g + 0 = 0. Calculate g.
-1, -2/7, 0
Determine z so that 4*z**2 + 1/6*z**3 - 17/2*z + 13/3 = 0.
-26, 1
Let w = -28 + 31. Factor 4*n**3 - 32*n**2 - 12*n**4 + 0*n**5 + 18*n + 24*n**w - 17 + 2*n**5 + 13.
2*(n - 2)*(n - 1)**4
Suppose 7 = 2*o + 2*p - 45, 2*p + 41 = o. Factor -g**3 - 7*g**3 - o*g**4 + g**2 + 3*g**2 + 3*g**5 + 32*g**4.
g**2*(g - 1)*(g + 2)*(3*g - 2)
Let l(t) be the second derivative of 5*t**4/48 + 65*t**3/24 - 75*t**2/4 - 232*t. What is p in l(p) = 0?
-15, 2
Let k = -4299 + 17199/4. Determine h, given that -k + 1/8*h**2 - 1/8*h = 0.
-2, 3
Factor -10/9*f - 2/9*f**4 + 0 + 10/9*f**3 + 2/9*f**2.
-2*f*(f - 5)*(f - 1)*(f + 1)/9
Let u(o) = -o**4 + 7*o**3 - 68*o**2 + 12*o + 92. Let y(t) = 2*t**4 - 5*t**3 + 67*t**2 - 12*t - 91. Let l(s) = 5*u(s) + 4*y(s). Find d, given that l(d) = 0.
-8, -1, 2
Let x(m) = -9*m**4 + 43*m**3 - 53*m**2 + 33*m - 10. Let i(v) = 9*v**4 - 44*v**3 + 52*v**2 - 33*v + 11. Let o(t) = -4*i(t) - 5*x(t). Find f such that o(f) = 0.
1/3, 1, 2
Factor 2*p - 8/9 + 2/9*p**3 - 4/3*p**2.
2*(p - 4)*(p - 1)**2/9
Let l(s) be the first derivative of 4*s**3/21 + 34*s**2/7 + 24*s - 102. Factor l(o).
4*(o + 3)*(o + 14)/7
Let b(n) = -9*n**3 + 4*n**2 + 3*n + 14. Let x(f) = -18*f**3 + 9*f**2 + 5*f + 30. Let h(c) = -13*b(c) + 6*x(c). Determine k so that h(k) = 0.
-1, -2/9, 1
Let c(k) = k**2 + 7*k - 10. Let u be c(-9). Let h = -48 - -70. Determine v, given that -22 - u*v**2 + h + 2*v**4 = 0.
-2, 0, 2
Suppose -3*o + 7 = 2*d, -2*o - 3*d + 12 = 9. Factor 2/9 + 1/9*k**o - 1/9*k - 2/9*k**2.
(k - 2)*(k - 1)*(k + 1)/9
Let p(r) be the first derivative of 2*r**6/3 + 2*r**5 + 25*r**4/16 - 5*r**3/12 - 5*r**2/8 + r/4 + 66. Suppose p(u) = 0. Calculate u.
-1, 1/4
Factor -4*u**2 + 466*u**4 - u**3 - 2*u + 3 - 465*u**4 + 3*u**3.
(u - 1)**2*(u + 1)*(u + 3)
Suppose 4/7*q**2 - 80/7*q - 176/7 = 0. Calculate q.
-2, 22
Let s(h) be the third derivative of h**8/840 + 2*h**7/525 - h**6/300 - h**5/75 - 110*h**2. Find j such that s(j) = 0.
-2, -1, 0, 1
Let z(r) = -5*r**3 + 77*r**2 - 148*r + 67. Let s(f) = f**3 - 19*f**2 + 37*f - 17. Let g(l) = 18*s(l) + 4*z(l). Suppose g(d) = 0. What is d?
-19, 1
Let r(w) = 2*w**3 + 20*w**2 + 5*w - 20. Let h(z) = -z**3 - 11*z**2 - 3*z + 11. Let y(x) = -7*h(x) - 4*r(x). Factor y(g).
-(g - 1)*(g + 1)*(g + 3)
Let c(r) = r + 2. Let m be c(5). Suppose -5*a + 3 = -m. Factor -4*d**2 - 2*d + 6*d**4 + d**5 + d**5 - a*d**4.
2*d*(d - 1)*(d + 1)**3
Suppose 0 = -66*y - 7*y + 219. Solve -2/7*g**2 - 6/7 + 2/7*g**y - 10/7*g = 0.
-1, 3
Let q(p) be the second derivative of p**5/80 + 3*p**4/16 - 145*p. Factor q(u).
u**2*(u + 9)/4
Suppose 2*s + 24 = 8*s. Let u(v) = -1 - v**2 - v**3 + s + 2 - v - 6. Let d(m) = -m**4 - 2*m**3 - 5*m**2 - 4*m - 4. Let a(o) = -3*d(o) + 12*u(o). Factor a(w).
3*w**2*(w - 1)**2
Let r(x) = 32*x - 94. Let u be r(3). Let k(p) be the first derivative of 2 + 0*p + 2/3*p**3 - 2*p**u. Factor k(l).
2*l*(l - 2)
Let r(u) be the second derivative of 9*u**6/10 + 42*u**5/5 + 93*u**4/4 + 27*u**3 + 12*u**2 + u - 20. Let r(d) = 0. What is d?
-4, -1, -2/9
Let j(f) be the second derivative of -f**6/150 - 9*f**5/100 + 55*f. Factor j(q).
-q**3*(q + 9)/5
Let f(z) = 24*z**2 + 3. Let w be f(2). Suppose 4*d - w = d. Find c such that -2*c**4 + c**4 - 9*c - 10*c**3 - d*c**2 - 16 - 31*c = 0.
-4, -1
Let u(q) = -155*q**2 - 2280*q + 85. Let z(p) = 11*p**2 + 163*p - 6. Let s(f) = -6*u(f) - 85*z(f). Solve s(k) = 0.
-35, 0
Let n(y) = 6*y**3 + 10*y**2 + 2*y - 18. Let p(a) = 3*a**2 + 22 - 2*a**2 - 21 - a - a**3. Let i(m) = -n(m) - 2*p(m). Let i(q) = 0. Calculate q.
-2, 1
Let p = -15 - -15. Suppose p*k = k - 2. Factor 8 - 10*n**2 + 4*n - 10*n**2 + 16*n**k.
-4*(n - 2)*(n + 1)
Suppose 3*s = w - 13 - 8, 0 = 2*w - 2*s - 14. Factor 0*i + w - 2/9*i**3 - 4/3*i**2.
-2*i**2*(i + 6)/9
Factor 7*m**5 - 2*m**3 + m**3 - 8*m**5 + 2*m**4 + 0*m**3.
-m**3*(m - 1)**2
Let g(c) be the third derivative of -2*c**7/105 - 7*c**6/15 - 61*c**5/15 - 14*c**4 - 24*c**3 - 3*c**2 + 167*c. Determine l so that g(l) = 0.
-6, -1
Factor 3/4*q + 5/2 - 1/4*q**2.
-(q - 5)*(q + 2)/4
Let p be 6/(3 + (-9)/6). Determine j, given that 5*j + 3*j + 5*j**4 - 12*j**2 - 2*j**4 - 2 + 8*j**3 - 5*j**p = 0.
1
Let c = 1676/3 - 558. Let s(i) be the second derivative of -2/5*i**5 - 1/15*i**6 + 2*i + 0*i**2 - 5/6*i**4 + 0 - c*i**3. Factor s(j).
-2*j*(j + 1)**2*(j + 2)
Let y be (2 + 1/1)*-3*3/(-135). Factor 2/5*a + y*a**2 - 1/5*a**3 + 0.
-a*(a - 2)*(a + 1)/5
Let w(j) be the first derivative of j**7/210 + j**6/45 + j**5/30 - 3*j**3 - 11. Let c(u) be the third derivative of w(u). Determine m so that c(m) = 0.
-1, 0
Let j(g) be the second derivative of 5*g**7/147 + 68*g**6/105 - 43*g**5/70 - 97*g**4/21 + 220*g**3/21 - 8*g**2 - 86*g + 1. Suppose j(c) = 0. Calculate c.
-14, -2, 2/5, 1
Factor -2*f**2 + 94 - 2*f**2 - 7*f + 9*f - 14 + 2*f.
-4*(f - 5)*(f + 4)
Suppose 0 - 274/13*x + 42*x**2 - 270/13*x**3 - 2/13*x**4 = 0. What is x?
-137, 0, 1
Factor -7*a + 35*a**3 - a**2 + a**4 + 12*a - 40*a**3.
a*(a - 5)*(a - 1)*(a + 1)
Suppose 151*k = 78*k + 146. Let 2/11*r + 0 + 1/11*r**k = 0. What is r?
-2, 0
Let u(p) = 25*p - 100. Let f be u(4). Let a(j) be the third derivative of 8*j**2 + 0*j**3 + 1/1020*j**6 + 0 + f*j + 0*j**4 - 1/510*j**5. Factor a(k).
2*k**2*(k - 1)/17
Suppose 29 = 3*h + 55*f - 50*f, -3*h + 3*f = 3. Let v + 1/3*v**h + 4/3*v**2 + 0 = 0. Calculate v.
-3, -1, 0
Suppose 24/5*k + 9/5 + 16/5*k**2 = 0. Calculate k.
-3/4
Factor 38*v - v**3 + 161*v**2 + 3*v**3 + 123*v**2 - 324*v**2.
2*v*(v - 19)*(v - 1)
Let s = 57 + -52. Let f(p) = -6*p**3 + 5*p**2 + 18*p + 12. Let t(c) = -15*c**3 + 12*c**2 + 45*c + 30. Let h(q) = s*t(q) - 12*f(q). Factor h(x).
-3*(x - 2)*(x + 1)**2
Let a be 40/18 - 4/18. Let q = 533 - 529. Factor -4*v**3 - a*v**4 - 5*v**2 - v**2 - 8 + q*v**4 + 16*v.
2*(v - 2)*(v - 1)**2*(v + 2)
Let u(w) be the first derivative of 0*w + 1/9*w**3 + 0*w**2 + 1/36*w**6 + 2/15*w**5 - 13 + 5/24*w**4. Find f, given that u(f) = 0.
-2, -1, 0
Let t(f) be the first derivative of f**4 - 196*f**3/15 - 52*f**2 - 96*f/5 - 418. Factor t(o).
4*(o - 12)*(o + 2)*(5*o + 1)/5
Factor -1 - 5/6*f - 1/6*f**2.
-(f + 2)*(f + 3)/6
Suppose 21*k = 292*k - 542. Determine s so that 4/7 - 18/7*s**2 - k*s = 0.
-1, 2/9
Let a be ((-46)/4)/(2 - 28/16). Let q = a - -46. Solve 0*z**2 + 2/11*z**4 + 0 + q*z + 4/11*z**3 = 0 for z.
-2, 0
Determine s, given that 48/7*s**2 - 234/7*s - 2/7*s**3 - 676/7 = 0.
-2, 13
Let b be -2 + (3/2)/(15/10). Let j(r) = -3*r**3 + r**2 + r - 1. Let z be j(b). Factor -4/5*o - 3/5*o**z + 4/5.
-(o + 2)*(3*o - 2)/5
Suppose 15*u + 25*u = 0. Factor 2/3*j - 4/9 - 2/9*j**3 + u*j**2.
-2*(j - 1)**2*(j + 2)/9
Let c be 8*15/6 + (-12)/4. Factor 77*o - 147*o**3 + c - 257*o + 378*o**2 + 7.
-3*(o - 2)*(7*o - 2)**2
Let f(d) be the second derivative of d**7/1260 - d**6/360 + d**4/6 - 15*d. Let x(j) be the third derivative of f(j). Find s, given that x(s) = 0.
0, 1
Let k(n) = -13*n**4 - 8*n. Let c(x) = -x - x**2 - x**3 - x**4 + x**2. Let a be -1*6*(-4)/(-8). Let v(t) = a*k(t) + 21*c(t). Find u such that v(u) = 0.
-1/3, 0, 1/2, 1
Factor -26/3*h**2 + 0*h + 0 + 2/3*h**3.
2*h**2*(h - 13)/3
Let g(f) be the first derivative of 2*f**7/21 + f**6/24 - f**5/3 - 5*f**4/24 + 9*f**2 - 28. Let v(c) be the second derivative of g(c). Factor v(b).
5*b*(b - 1)*(b + 1)*(4*b + 1)
Let y(u) be the second derivative of 17*u**4/3 + 10*u**3 - 4*u**2 + 3*u + 2. Factor y(p).
4*(p + 1)*(17*p - 2)
Solve -2*j**4 + 26*j**4 + 12*j**3 + 2 - 80*j**2 - 4*j**5 - 2 + 63*j - 15*j = 0.
-2, 0, 1, 6
Let s(d) be the second derivative of d**4/78 + 37*d**3/39 - 4*d - 46. Find v such that s(v) = 0.
-37, 0
Let t be -7 - (-264)/30 - (-12)/10. Find