*y**4 - 69*y**4 - 51*y**2 + 116*y**3 - 28*y**3 = 0?
-2/5, 1, 2
Let s(g) be the third derivative of g**8/84 + 4*g**7/105 - g**6/30 - 2*g**5/15 - 77*g**2. Find t, given that s(t) = 0.
-2, -1, 0, 1
Let q(p) be the first derivative of -39*p**4/14 + 4*p**3/7 + 152. Factor q(v).
-6*v**2*(13*v - 2)/7
Let a(w) be the second derivative of 9/14*w**3 - 19*w + 81/14*w**2 - 2 - 3/140*w**5 - 3/28*w**4. Factor a(u).
-3*(u - 3)*(u + 3)**2/7
Let c be ((-4)/6)/(2/(-12)). Suppose 12*k**2 + 12*k**3 + 75*k - 75*k - 3*k**c - 3*k**5 = 0. What is k?
-2, -1, 0, 2
Factor -3*q**4 + 12*q + 6*q**3 + 8*q**3 - 12 + 9*q**2 + 7*q**3 - 12*q**3 - 15*q**3.
-3*(q - 1)**2*(q + 2)**2
Suppose -31/4*z - 15/4 - 17/4*z**2 - 1/4*z**3 = 0. Calculate z.
-15, -1
Let h(z) be the third derivative of -17/12*z**4 + 15*z**2 - 1/105*z**7 + 1/2*z**5 + 2*z**3 + 0*z + 0 - 1/20*z**6. Factor h(u).
-2*(u - 1)**3*(u + 6)
Let w = 4 + 3. Suppose w*z - 132 = 4*z. Factor 2 + 6 - p**3 - z*p - 25*p**4 - 4*p**3 + 66*p**2.
-(p - 1)*(p + 2)*(5*p - 2)**2
Let l = 1544 + -6175/4. Determine d, given that 1/2*d + l*d**2 + 1/4 = 0.
-1
Solve -100 + 1640*h + 1350*h**3 - 7705*h**2 + 6165*h**3 - 2810*h**5 + 1609*h**4 + 416*h**4 - 565*h**5 = 0 for h.
-5/3, 2/15, 1
Let c be 35 - -3 - (0 + 0). Factor -c*z + 2*z**2 + 64 + 2*z**2 + 6*z.
4*(z - 4)**2
Let v = -6713/495 - -16/99. Let z = -43/5 - v. Determine w, given that -6/5*w**3 + 4/5*w**2 - 2/5*w**4 + 16/5 + z*w = 0.
-2, -1, 2
Suppose -2*s - 3*l + 0 = 2, -5*l - 18 = -4*s. Let n be s/(-1 - 20/(-12)). Solve 2*u + u**2 - 2*u**4 + 4*u**4 - 2*u**n - 3*u**2 = 0 for u.
-1, 0, 1
Let g be (-4)/4 + -2 + -6. Let t be g/(-2) + 12/(-8). Factor 6*r**2 - 7*r**2 - 3*r**3 - 8*r**2 - 9*r - t.
-3*(r + 1)**3
Let z = -187 + 248. Let j = z + -58. What is g in -9/4*g - 3/2*g**2 + 0 + 3/4*g**j = 0?
-1, 0, 3
Suppose b + 3 - 4 = 0. Let u(i) = 3*i**3 + i - 2. Let c be u(b). Factor -5*s + 4*s - s + c*s**2.
2*s*(s - 1)
Let f(r) = -r**4 - 2*r**2 - 2*r + 1. Let g(p) = -2*p**4 + 43*p**3 - 2*p**2 - 2*p + 1. Let w(v) = -4*f(v) + 4*g(v). Determine b so that w(b) = 0.
0, 43
Let m = 38 - 36. Find c, given that -12*c**m - c**3 + 3*c - 5*c**5 + 6 - c**3 + 8*c**5 + 6*c**4 - 4*c**3 = 0.
-2, -1, 1
Determine d so that 2/5*d**4 + 0 - 2/5*d**2 + 2/5*d**5 - 2/5*d**3 + 0*d = 0.
-1, 0, 1
Let p(q) = -22*q**2 - 48*q + 7. Let i(t) = -23*t**2 - 47*t + 8. Let k(n) = 3*i(n) - 2*p(n). Factor k(d).
-5*(d + 2)*(5*d - 1)
Find q such that 7773*q - 3870*q + q**2 - 3878*q + 84 = 0.
-21, -4
Let b(d) be the third derivative of d**6/900 - d**5/300 - 11*d**3/3 + 8*d**2. Let j(t) be the first derivative of b(t). Determine w, given that j(w) = 0.
0, 1
Let w be 8 + 1*(-15)/5. Determine s, given that 6*s**3 + 9 + 21*s + 2*s**5 + 0*s**w - 6*s**4 - 5*s**5 + 24*s**2 - 3 = 0.
-1, 2
Let m = -15807/25 - -632. Let d = m + 53/100. Factor d*h**2 + 1/4*h + 0.
h*(h + 1)/4
Let b(x) be the third derivative of 0 + 1/20*x**6 + 1/30*x**5 + 1/168*x**8 + 0*x**4 - x**2 + 0*x**3 + 0*x + 1/35*x**7. Solve b(a) = 0 for a.
-1, 0
Let v(j) = j + 15. Let u(b) = -3*b + 3. Let z be u(5). Let c be v(z). Factor i - 6*i - 3*i**3 - 3*i + 8*i**2 + i**c.
-2*i*(i - 2)**2
Suppose 2048 - 112 = 11*z. Let y be z/(-64) + 3/1. Suppose 0 - 1/4*l**3 - y*l - 1/2*l**2 = 0. What is l?
-1, 0
Let z be 30/(-24) + (-2)/(-8) - -4. Suppose 11*x**4 + 8*x**3 - 10*x**4 + z*x**4 - 8*x - 4*x**2 = 0. What is x?
-2, -1, 0, 1
Let r = -60 - -68. Let w(a) be the first derivative of 0*a + r - 2/3*a**3 + 1/2*a**4 - 2*a**2. Factor w(h).
2*h*(h - 2)*(h + 1)
Let u = -791 - -7120/9. Factor 0 - u*i + 1/9*i**3 - 1/9*i**2 + 1/9*i**4.
i*(i - 1)*(i + 1)**2/9
Suppose 2*g - 1 = -7, -o - 69 = 2*g. Let k be 0 + (36/o - (-2 - -1)). Suppose -6/7*w**3 + 0 + k*w**2 + 0*w - 9/7*w**4 = 0. What is w?
-1, 0, 1/3
Factor 36*b - 2/7*b**2 - 1134.
-2*(b - 63)**2/7
Suppose -4*c + 9 - 1 = 0. Determine y, given that -6*y**3 - y**3 + 2*y**3 - 74*y**2 + 89*y**c - 10*y = 0.
0, 1, 2
Factor 12/5*a**2 - 2/5*a**3 - 4 - 6/5*a.
-2*(a - 5)*(a - 2)*(a + 1)/5
Let h = 30 - 26. Let l be (-3 - -2)*h/(-3). Find k, given that -l*k**3 + 10/3*k**2 + 5/3*k**5 - 2/3 - 1/3*k - 8/3*k**4 = 0.
-1, -2/5, 1
Let z(x) be the first derivative of 32 + 28/3*x**3 - x**4 + 16*x**2 + 0*x. Factor z(q).
-4*q*(q - 8)*(q + 1)
Let j(r) = 7*r + 36. Let l be j(-5). Let n be (l + -3)/(-10) - (-3)/5. What is o in -48/5*o**4 + n + 44/5*o**2 - 6*o + 62/5*o**3 - 32/5*o**5 = 0?
-2, -1, 1/4, 1
Let t(m) = m + 1. Let b be t(2). Suppose -b*r + 20 = 2*r. Factor -r - 9*u**3 + u**2 - 2*u**4 - 2 + 2*u**2 + 5*u**4 + 9*u.
3*(u - 2)*(u - 1)**2*(u + 1)
Let a(l) be the third derivative of 2*l**7/105 + 46*l**6/15 + 192*l**5 + 5400*l**4 + 36000*l**3 + 245*l**2. Determine i, given that a(i) = 0.
-30, -2
Let s = 15 + -14. Let q = 3 + s. Factor 11*c - 4 - 16*c - 4 + q*c**2 + c.
4*(c - 2)*(c + 1)
Let m = 41 - 38. Suppose m*d + 10 = 10. Factor 1/4*h**4 + 0*h + d*h**3 + 0 - 1/4*h**2.
h**2*(h - 1)*(h + 1)/4
Let s(j) be the first derivative of j**4/6 + j**3 - 4*j**2 - 5*j - 38. Let i(y) be the first derivative of s(y). Determine h, given that i(h) = 0.
-4, 1
Let c(s) be the third derivative of -1/240*s**5 + 0 + 0*s + 1/1344*s**8 + 0*s**3 - 1/280*s**7 + 1/160*s**6 + 40*s**2 + 0*s**4. Determine g, given that c(g) = 0.
0, 1
Let l(p) be the first derivative of 2*p**6/3 + 4*p**5 - 22*p**4 + 64*p**3/3 + 640. Factor l(q).
4*q**2*(q - 2)*(q - 1)*(q + 8)
Factor -255*w**3 + 6534*w**2 - 71874*w + 2*w**4 - 295*w**3 - 126*w**3 + 478*w**3.
2*w*(w - 33)**3
Let p(d) be the third derivative of d**6/165 - 23*d**5/330 + 13*d**4/66 + 8*d**3/33 + 2*d**2 + 44*d. Let p(u) = 0. Calculate u.
-1/4, 2, 4
Let b(h) be the second derivative of h**4/12 - h**3/6 + 4*h. Let p be b(-2). Factor -p + 2*x**2 - 3*x**2 - 9*x + 4*x**2 - 6*x**2.
-3*(x + 1)*(x + 2)
Let d(x) = -x**3 - 8*x**2 + 8*x - 5. Let z be d(-9). Let 106 + 7*y**z - 15*y**3 - 20*y**2 - 2*y**4 - 106 = 0. Calculate y.
-1, 0, 4
Let g(i) = i**3 - 284*i**2 - 26508*i - 830586. Let s(d) = -d**3 + d**2 + 1. Let l(o) = 3*g(o) + 6*s(o). Factor l(p).
-3*(p + 94)**3
Solve -2/7*c**2 + 3*c - 1/7*c**3 - 18/7 = 0.
-6, 1, 3
Let j(k) be the first derivative of -3*k**5/5 - 3*k**4 - 5*k**3 - 3*k**2 - 410. Factor j(s).
-3*s*(s + 1)**2*(s + 2)
Let i(a) = -8*a**3 - 28*a**2 + 52*a - 14. Let s(h) = 31*h**3 + 113*h**2 - 208*h + 55. Let x(l) = 18*i(l) + 4*s(l). Factor x(p).
-4*(p - 1)*(p + 4)*(5*p - 2)
Let u = 744/455 - -98/65. Factor u*i**4 + 4/7*i + 18/7*i**2 + 6/7*i**5 + 0 + 30/7*i**3.
2*i*(i + 1)**3*(3*i + 2)/7
Factor 60*w - 34*w**3 + 73*w**3 + 54*w**2 - 18*w**3 + 24 + 3*w**4.
3*(w + 1)*(w + 2)**3
Let z(o) be the first derivative of 3/28*o**4 - 15/7*o**2 + 0*o - 36 + 9/7*o**3. Factor z(f).
3*f*(f - 1)*(f + 10)/7
Factor -371/2*i + 50*i**2 + 49 - 7/2*i**3.
-(i - 7)**2*(7*i - 2)/2
Let h = -363 + 365. Suppose 1/4*w**h - 1 + 0*w = 0. Calculate w.
-2, 2
Let q(u) = 2*u - 5*u + 14*u**2 + 6*u + u**3 + 2 + 10*u. Let l be q(-13). Factor -4*r**4 - 4*r**l + 7*r + 0*r**4 - 19*r + 12*r**3 + 8.
-4*(r - 2)*(r - 1)**2*(r + 1)
Factor -92/15*c + 6 + 2/15*c**2.
2*(c - 45)*(c - 1)/15
Let b be (-6)/((-4)/(-18)*-6). Factor -3/4*d**2 - 27/4 + b*d.
-3*(d - 3)**2/4
Determine p so that 16/7 + 2*p**2 + 30/7*p = 0.
-8/7, -1
Suppose o = -5*o - o. Factor -2/5*q - 4/15 + 2/15*q**3 + o*q**2.
2*(q - 2)*(q + 1)**2/15
Let r(w) be the third derivative of 1/140*w**7 + w**2 - 1/40*w**5 + 0*w**3 + 0*w + 0 - 1/16*w**6 + 5/16*w**4. Factor r(a).
3*a*(a - 5)*(a - 1)*(a + 1)/2
Let r(s) be the first derivative of s**6/9 + 7*s**5/30 + s**4/9 - 9*s + 10. Let i(x) be the first derivative of r(x). Solve i(u) = 0.
-1, -2/5, 0
Let x be -4*(-6 - 33/(-6)). Suppose x*m = -5*b + 19, 2*b - 5 = -4*m + 9. Factor 1/3*z**m + 0 - 1/3*z - 1/3*z**4 + 1/3*z**3.
-z*(z - 1)**2*(z + 1)/3
Let f = 391/968 - 7/242. Factor -f*z**2 + 3/2*z**3 + 0 - 1/4*z - 7/8*z**4.
-z*(z - 1)**2*(7*z + 2)/8
Let -660*v**2 + 912*v + 127*v**2 + 14*v**3 + 280 + 299*v**2 = 0. Calculate v.
-2/7, 7, 10
Let m(j) be the second derivative of -2*j**6/15 - j**5/20 + j**4 - 5*j**3/6 - j**2 - 5*j + 24. Factor m(q).
-(q - 1)**2*(q + 2)*(4*q + 1)
Suppose -41*l + 6*l + 245 = 0. Let f(s) be the first derivative of 8 + l*s**3 + 15/4*s**4 + 0*s + 3*s**2. Find d, given that f(d) = 0.
-1, -2/5, 0
Let c(b) be the second derivative of -21*b**5/20 - 10*b**4 + 61*b**3/2 - 21*b**2 + 37*b. Determine t so that