given that 2/3*d + 0 + 4/3*d**2 + a*d**3 = 0.
-1, 0
Let -93/4*l**2 - 61/8 - 1/8*l**4 - 23*l - 8*l**3 = 0. What is l?
-61, -1
Let g(q) be the first derivative of -2*q**5/45 + 17*q**4/18 - 22*q**3/27 - 605*q**2/9 - 551. Determine d so that g(d) = 0.
-5, 0, 11
Let t(u) be the second derivative of 0*u**4 - 1/210*u**6 + 0 + 0*u**2 - 3/140*u**5 + 2/21*u**3 - 6*u. Determine r, given that t(r) = 0.
-2, 0, 1
Suppose 3*f + 2*s = -205, 0 = -3*f + 2*s - 5*s - 207. Let a = f + 72. Let -2/9*h + 8/3*h**4 + 0 - 8/9*h**a + 4/3*h**2 - 26/9*h**3 = 0. Calculate h.
0, 1/2, 1
Let d be 50/(-90)*(-9)/96. Let a(b) be the third derivative of 1/840*b**7 + b**2 + 0*b + 0 - 1/80*b**5 + d*b**4 - 1/12*b**3 - 1/480*b**6. Factor a(q).
(q - 1)**3*(q + 2)/4
Let o(f) be the first derivative of 0*f - 8/9*f**2 + 23 + 4/27*f**3 + 1/18*f**4. Determine z, given that o(z) = 0.
-4, 0, 2
Let x(d) = -d**3 - 8*d**2 - 46*d - 118. Let t be x(-4). Factor 4/3*n**4 + 32/3*n**3 + 16 + 92/3*n**t + 112/3*n.
4*(n + 1)*(n + 2)**2*(n + 3)/3
Let h(x) be the first derivative of -3*x**5/10 + 9*x**4/4 - 24*x**2 + 87. Solve h(o) = 0.
-2, 0, 4
Suppose 3/7*y**3 + 6/7*y**2 - 117/7*y + 216/7 = 0. What is y?
-8, 3
Find m, given that -1/10*m**5 - 3/10*m + 2/5*m**3 + 0 - 1/5*m**2 + 1/5*m**4 = 0.
-1, 0, 1, 3
Suppose -2*h - 2*r = 2, 5*r + 37 = 4*h + 5. Suppose -8*f + 13 = -h. Determine o, given that 8/9 + 2/9*o**f + 8/9*o = 0.
-2
Let p(i) = 5*i**3 + 10*i**2 - 29*i - 56. Let b be p(-2). Factor -2/3*f**b - 8 - 16/3*f.
-2*(f + 2)*(f + 6)/3
Let r(f) = 3*f**2 + f - 1. Let h(l) = 34*l**2 - 38*l + 220. Let n(i) = -h(i) + 12*r(i). Find q such that n(q) = 0.
-29, 4
Let v be 2/12*(1491/56 - 15). Let k(p) be the first derivative of -v*p**4 + 0*p + 2*p**3 + 35/24*p**6 - 6/5*p**5 - 6 - 1/2*p**2. Solve k(u) = 0.
-1, 0, 2/7, 2/5, 1
Suppose -6 - 26 = -4*l. Let u = l - 3. Find t such that 0*t**2 + 0*t + 0 - 2/3*t**4 + 2/3*t**u + 0*t**3 = 0.
0, 1
Let t(j) = -9*j + 5. Let c be t(-5). Let l = c - 148/3. Factor 19/3*g + 16/3*g**4 + l + 56/3*g**3 + 19*g**2.
(g + 1)*(g + 2)*(4*g + 1)**2/3
Let o be 33*6/27 - (-42 - -49). Factor 1/3*r**2 - o + 0*r.
(r - 1)*(r + 1)/3
Let m(f) = -15*f**3 + 833*f**2 - 1605*f + 779. Let j(n) = 10*n**3 - 555*n**2 + 1070*n - 520. Let a(q) = -8*j(q) - 5*m(q). Factor a(r).
-5*(r - 53)*(r - 1)**2
Let d(h) be the second derivative of -h**5/40 + 7*h**4/6 - 221*h**3/12 + 169*h**2/2 + 22*h + 2. Factor d(i).
-(i - 13)**2*(i - 2)/2
Let s(r) be the second derivative of -r**7/1050 - r**6/200 + r**4/30 + 9*r**2/2 + 24*r. Let l(n) be the first derivative of s(n). Solve l(y) = 0.
-2, 0, 1
Let j(v) = v + 1. Let l be j(4). Suppose 0*u + 5*u = 25, 5 = -l*s + u. Factor -2*n + 6*n + 2*n**2 + s*n.
2*n*(n + 2)
Let p(c) be the third derivative of -4/15*c**5 + c**4 - 3/2*c**3 - 21*c**2 + 0 + 0*c. Factor p(b).
-(4*b - 3)**2
Factor -2/3*a + 2/3*a**3 + 32/3 - 32/3*a**2.
2*(a - 16)*(a - 1)*(a + 1)/3
Let m = -152 - -154. Solve -3*h**2 - 4*h**2 - 60*h - 55 + 0 + m*h**2 = 0 for h.
-11, -1
Let g(t) = t**3 - 19*t**2 - 19*t - 18. Let l be g(20). Suppose 36*i**3 + 0*i**2 - 33*i**3 - l*i - i**2 = 0. What is i?
-2/3, 0, 1
Let f = 83 - 83. Let k(r) be the second derivative of 0*r**4 + 0*r**3 - r - 1/20*r**5 + 0*r**2 + f. What is a in k(a) = 0?
0
Let n(f) be the third derivative of -4*f**7/165 + 113*f**6/660 - 64*f**5/165 + 7*f**4/33 + 124*f**2. Determine m so that n(m) = 0.
0, 2/7, 7/4, 2
Factor -1584/5*l - 168/5*l**2 - 4/5*l**3 + 3872/5.
-4*(l - 2)*(l + 22)**2/5
Let a = 4313/15 + -1376/5. Let l = 112/9 - a. Factor 0 + 0*i - l*i**3 - 1/9*i**5 + 0*i**2 - 2/9*i**4.
-i**3*(i + 1)**2/9
Let h(q) = 6*q**2 + 22 - q**3 - 55 + 22 - 2*q. Let g be h(5). What is l in -3*l**4 - l**3 - 5*l**g + 7*l**4 - l**3 + l**5 = 0?
-1, 0, 2
Let z(a) be the second derivative of -a**6/15 + 13*a**5/40 - a**4/8 - 472*a. Factor z(u).
-u**2*(u - 3)*(4*u - 1)/2
Solve -10 + 3/2*g**2 + 14*g = 0.
-10, 2/3
Let f(p) be the second derivative of -7*p**7 - 1771*p**6/60 + 39*p**5/20 + 99*p**4/8 - p**3/3 - 3*p**2 - 40*p. Solve f(y) = 0 for y.
-3, -1/3, -1/4, 2/7
Let n = -110 - -112. Let q be 6/n + 10/(-90)*15. What is f in f - 1/3*f**2 + q = 0?
-1, 4
Let l(f) = f**2 - 28*f - 65. Let i be l(23). Let m be i/(-486)*(-6)/(-10). Factor m*q**2 + 4/9*q + 2/9.
2*(q + 1)**2/9
Let d(z) = z**2 + 6*z - 19. Let j(m) = 4*m**2 + 16*m - 60. Let v(l) = 10*d(l) - 3*j(l). Factor v(g).
-2*(g - 5)*(g - 1)
Let l be (136/119)/(-4) - (-20)/21. Let g be (-20)/15*9/(-6). Suppose -g - l*v**2 - 8/3*v = 0. Calculate v.
-3, -1
Let n(m) be the second derivative of m**6/75 - 3*m**5/25 + m**4/6 - 67*m. Factor n(z).
2*z**2*(z - 5)*(z - 1)/5
Factor -3166 - 216*d + 875 - 625 - 4*d**2.
-4*(d + 27)**2
Let p = 56 - 55. Let t be 6 - 9 - (-5 + 2/p). Solve 4/13*w - 6/13*w**4 - 2/13*w**3 - 2/13*w**5 + t + 6/13*w**2 = 0.
-2, -1, 0, 1
Let l(v) be the second derivative of -v**7/1008 + v**6/144 + v**5/16 + 5*v**4/4 - 12*v. Let w(f) be the third derivative of l(f). Determine u so that w(u) = 0.
-1, 3
Let b be (1 + -4)*(-1)/(-25)*-5. Factor 3/5*k**2 + b + 6/5*k.
3*(k + 1)**2/5
Suppose -b - 15 = -4*q, 325*b - 5 = 324*b. Solve 0*m**4 + 0*m + 0 + 6/13*m**3 + 4/13*m**2 - 2/13*m**q = 0 for m.
-1, 0, 2
Let l(s) = s**2 - 65*s + 966. Let k be l(23). Find c such that 1/9*c**2 + 0 + 1/9*c**3 + k*c - 1/9*c**4 - 1/9*c**5 = 0.
-1, 0, 1
Let o(c) = c**2 - 18*c + 22. Let k be o(16). Let h be (8/k)/(((-9)/(-6))/(-3)). Solve -8/5 - 2/5*n**2 + h*n = 0 for n.
2
Let r(k) = -60*k**2 + 75*k - 26. Let i(v) = v**3 + 6*v**2 + 2*v + 1. Let l be i(-6). Let w(n) = -12*n**2 + 15*n - 5. Let q(b) = l*w(b) + 2*r(b). Factor q(j).
3*(j - 1)*(4*j - 1)
Determine h so that 6/7*h**3 + 0*h**2 - 3/7*h**5 + 0*h + 0 - 3/7*h**4 = 0.
-2, 0, 1
Factor -1/6*k**4 - 8/3 + 1/2*k**2 - 11/3*k + 4/3*k**3.
-(k - 8)*(k - 2)*(k + 1)**2/6
Let y(k) be the first derivative of 2*k**3/51 - 93*k**2/17 - 188*k/17 + 61. Find x, given that y(x) = 0.
-1, 94
Let a be (-2 - -4)*(-1 + (-186)/4). Let q = a + 289/3. Factor q - 2/3*l**2 + 2/3*l.
-2*(l - 2)*(l + 1)/3
Suppose -89*i**5 + 330*i**2 - 72*i - 7*i**3 + 116*i**5 + 13*i**3 + 39*i**3 - 330*i**4 = 0. Calculate i.
-1, 0, 2/9, 1, 12
Find h such that 12 - 56*h**3 + 4*h + 28*h**3 - 3*h**2 + 27*h**3 = 0.
-3, -2, 2
Let x = -29 - -72. Let q = x + -39. Suppose 2/3*d**3 + 0 - 2/9*d - 4/9*d**5 - 2/9*d**2 + 2/9*d**q = 0. What is d?
-1, -1/2, 0, 1
Suppose -56/5 - 2*v + 1/5*v**2 = 0. Calculate v.
-4, 14
Let b(r) be the first derivative of -r**4/2 + 10*r**3/3 - 7*r**2 + 6*r + 64. Let b(l) = 0. What is l?
1, 3
Let o(h) = h**3 + h**2 + 1. Let m be o(2). Let x(t) = 2*t**2 + 6*t + 2. Let w be x(-4). Factor 12*r - 2*r**2 - m + 4 + 1 - w.
-2*(r - 3)**2
Let u be 261/(-145)*(-10)/(-24) - 2*-1. Factor 0 + u*k**2 + 5/2*k.
5*k*(k + 2)/4
Let p(u) be the second derivative of u**5/5 + 7*u**4/8 + 3*u**3/2 + u**2/2 + 7*u. Let o(c) be the first derivative of p(c). Solve o(r) = 0 for r.
-1, -3/4
Let k(h) be the first derivative of 3*h**4/28 + 8*h**3/7 - 159*h**2/14 - 180*h/7 - 680. Solve k(g) = 0 for g.
-12, -1, 5
Let o(b) be the third derivative of 1/8*b**6 - 8*b**2 + 3/20*b**5 + 0*b + 0 + 0*b**3 - 1/4*b**4. Factor o(x).
3*x*(x + 1)*(5*x - 2)
Let v(g) = -g**2 + 64*g + 428. Let m(u) = 6*u**2 - 450*u - 2997. Let s(i) = -4*m(i) - 27*v(i). Factor s(t).
3*(t + 12)**2
Let v = 7 - 64. Let q = v - -60. Factor 0 - 1/2*p + 3/4*p**2 - 1/4*p**q.
-p*(p - 2)*(p - 1)/4
Let s(g) be the second derivative of -g**5/160 + 23*g**4/96 - 5*g**3/2 - 9*g**2 + 34*g. Solve s(y) = 0.
-1, 12
Suppose 2*l + 72 - 53 = 5*g, 0 = 3*g - l - 11. Factor 2/3*z - 2/3*z**g - 2/3*z**2 + 2/3.
-2*(z - 1)*(z + 1)**2/3
Let w = -3667/3 - -1223. Let p(k) be the second derivative of 1/5*k**5 - 1/15*k**6 - 7*k + k**2 + 0 + 0*k**4 - w*k**3. Factor p(o).
-2*(o - 1)**3*(o + 1)
Let l(o) = 2*o**2 + 43*o + 62. Let z be l(-20). Factor 0*g - 3/8*g**z + 0*g**3 + 0 + 3/8*g**4.
3*g**2*(g - 1)*(g + 1)/8
Let k be 340/325 + 195/25 + -7. Suppose 2/13*b**3 + k*b - 16/13 - 12/13*b**2 = 0. What is b?
2
Factor b**3 - 56/3*b**2 + 0 + 12*b.
b*(b - 18)*(3*b - 2)/3
Suppose -2*z - 656 = -664. Let w(g) be the first derivative of -6 - 1/10*g**2 - 4/15*g**3 - 3/20*g**z + 0*g. Factor w(p).
-p*(p + 1)*(3*p + 1)/5
Let v(d) be the first derivative of -15 + 3/2*d**2 + d**3 - 6*d. Factor v(g).
3*(g - 1)*(g + 2)
Let n(l) be the third derivative of -1/10*l**3 - 