-o**5/90 - 19*o**4/54 + 20*o**3/27 - 2*o + 67. Suppose a(f) = 0. What is f?
-20, 0, 1
Let z(v) be the first derivative of -v**5/10 - 3*v**4/8 + 3*v**3/2 - 5*v**2/4 - 65. Determine y so that z(y) = 0.
-5, 0, 1
Let g(y) be the third derivative of -y**8/1848 - 2*y**7/385 - y**6/132 + 18*y**2. Determine r so that g(r) = 0.
-5, -1, 0
Let i = -65 - -72. Let a(c) = -11*c**4 + 9*c**3 + 15*c**2 - 48*c - 43. Let h(m) = 6*m**4 - 4*m**3 - 8*m**2 + 24*m + 22. Let j(d) = i*h(d) + 4*a(d). Factor j(u).
-2*(u - 3)**2*(u + 1)**2
Determine s, given that -8/7*s**2 - 8/7*s**3 + 0 + 2/7*s**4 + 32/7*s = 0.
-2, 0, 2, 4
Let r(u) be the first derivative of u**6/40 + u**5/20 - u**4/4 - 6*u**2 - 19. Let y(a) be the second derivative of r(a). Let y(t) = 0. Calculate t.
-2, 0, 1
Let c(x) be the first derivative of x**3/6 - 7*x**2/2 + 13*x/2 + 544. Factor c(d).
(d - 13)*(d - 1)/2
Let r = -11/2 + 57/10. Let m(g) be the first derivative of 0*g + 3/25*g**5 - 3/20*g**4 + 2 + 1/10*g**6 - r*g**3 + 0*g**2. Factor m(k).
3*k**2*(k - 1)*(k + 1)**2/5
Suppose -2*d - 1 = -3*s, 2*s = 2*d + d - 6. Let p be (-2)/d*(0 - (-10)/(-15)). Suppose -1/3*b**3 + 0 + 1/3*b + 1/3*b**4 - p*b**2 = 0. What is b?
-1, 0, 1
Let s = -16158 - -16161. Factor 5/3*w**s + 10/3*w**2 + 0*w - 10*w**4 + 0.
-5*w**2*(2*w + 1)*(3*w - 2)/3
Let g(f) be the first derivative of -12 - 7/6*f**6 + 19/4*f**4 - 6*f**2 + 9/5*f**5 + 4*f - 13/3*f**3. Determine l, given that g(l) = 0.
-1, 2/7, 1, 2
Let k(u) = -3*u**3 + u**2 + 8*u + 1. Let q(a) = -a**3 + a**2 + 1. Let m be (33/66)/((-2)/8). Let v(c) = m*k(c) + 2*q(c). Solve v(j) = 0.
-2, 0, 2
Let h(x) be the third derivative of -1/120*x**6 - 5*x**2 - 1/210*x**7 + 0*x - 2 + 0*x**4 - 1/1008*x**8 - 1/180*x**5 + 0*x**3. Find c such that h(c) = 0.
-1, 0
Let c(q) = q**3 + 11*q**2 - 5*q + 13. Let f be c(-6). Find z such that 15*z**2 + 213*z + 0*z**4 - 5*z**4 - f*z = 0.
-2, 0, 1
What is i in 28*i - 52 + 4*i**2 - 70*i - 6*i = 0?
-1, 13
Let d(v) be the first derivative of -v**4/16 + v**3/6 + 7*v**2/8 + v + 16. Factor d(m).
-(m - 4)*(m + 1)**2/4
Let h(w) be the second derivative of -1/40*w**5 - 9/8*w**4 - 729/4*w**2 - 81/4*w**3 + 43*w + 0. Let h(t) = 0. Calculate t.
-9
Let j(t) be the second derivative of -15*t**5/8 + 395*t**4/4 + 319*t**3/4 + 24*t**2 - 559*t. Factor j(g).
-3*(g - 32)*(5*g + 1)**2/2
Let k = 219 - 219. Let q(l) be the second derivative of k*l**3 + 0*l**4 + 1/20*l**5 + 0*l**2 + 0 - l. Solve q(n) = 0.
0
Let a(r) = 99*r + 693. Let y be a(-7). Factor 2/11*k**4 + y*k + 0 - 2/11*k**2 + 0*k**3.
2*k**2*(k - 1)*(k + 1)/11
Let d(l) = -l**3 + 4*l**2 - 5*l + 5. Let b be d(5). Let n be b/18 - (-3)/1. Determine x so that n*x**2 + 3/2*x - 1/2 - 3/2*x**3 = 0.
-1, 1/3, 1
Let f(j) be the third derivative of -j**6/30 + 67*j**5/15 + 127*j**2 - 2. Factor f(v).
-4*v**2*(v - 67)
Let h be (-2585)/(-1974) - 1/6. Find g, given that 0 - 4/7*g**2 + h*g = 0.
0, 2
Let m = 3 - 11. Let h be (-5)/50*-5 + 2/m. Factor 0 + 1/4*x**2 - 1/4*x**4 + 1/4*x**3 - h*x.
-x*(x - 1)**2*(x + 1)/4
Let d(s) = 10*s**5 + 12*s**4 - 14*s**2 + 2*s. Let u(i) = -3*i**5 - i**2 - i. Let b(t) = d(t) + 2*u(t). Suppose b(j) = 0. What is j?
-2, 0, 1
Determine o so that -4*o**2 + 373*o - 3*o**3 + 2*o**3 - 373*o + 10*o**2 = 0.
0, 6
Let o(r) = r**2 + r - 30. Let v be o(-6). Suppose m - 2*u - 12 = -3*m, v = -3*u. Solve -276/5*c - 1911/5*c**m - 1029/5*c**4 - 1134/5*c**2 - 24/5 = 0 for c.
-1, -2/7
Let q(r) be the third derivative of -5*r**8/336 + r**7/21 + 11*r**6/24 - r**5 - 3*r**2 - 16. Suppose q(y) = 0. What is y?
-3, 0, 1, 4
Determine p, given that -2/7*p**5 - 74/7*p**4 + 2392/7*p**2 - 80*p**3 - 320/7*p - 3200/7 = 0.
-20, -1, 2
Let h = -45 - -53. Let l(x) = -2*x + 16. Let y be l(h). Determine u so that 0*u - 1/6*u**4 + y - 1/6*u**2 + 1/3*u**3 = 0.
0, 1
Let f(a) = 11*a**3 - 34*a**2 - 33*a + 15. Let b(w) = -23*w**3 + 68*w**2 + 65*w - 31. Let t(y) = -6*b(y) - 10*f(y). Determine u so that t(u) = 0.
-1, 3/7, 3
Let r(c) be the first derivative of 48*c**5/5 + 13*c**4 + 2*c**3/3 - c**2 - 54. Find p such that r(p) = 0.
-1, -1/4, 0, 1/6
Let w be 2/(-12) + 19/6. Suppose -4*x + 22 = x - w*u, -4*x = -u - 12. Factor -2 - a + 0 - 3*a + 2*a**3 + x*a**2 + 2*a**3.
2*(a - 1)*(a + 1)*(2*a + 1)
What is d in -68/5 - 188/5*d**3 - 2/5*d**5 - 242/5*d - 64*d**2 - 44/5*d**4 = 0?
-17, -2, -1
Suppose 0 = -0*h - 3*h + 48. Let o = h + -13. Factor -2*l**2 + 2*l**o + 2*l + l**2 + 5*l**2.
2*l*(l + 1)**2
Let n(p) = p**3 - 3*p**2 - p - 13. Let i be n(6). Let s = 89 - i. Solve s - 4/17*y + 2/17*y**2 = 0 for y.
0, 2
Factor -1/5*f**3 + 0 - 4/5*f - f**2.
-f*(f + 1)*(f + 4)/5
Let o(z) = 6*z**3 + 21*z**2 + 2*z - 18. Let c be o(-3). Solve -4/3*f**2 + 8/3*f + 2 - 8/3*f**c - 2/3*f**4 = 0 for f.
-3, -1, 1
What is s in 0*s + 0*s**3 - 1/5*s**2 + 1/5*s**4 + 0 = 0?
-1, 0, 1
Suppose 4*p - 3*s - 1 - 1 = 0, -p - 8 = -5*s. Let q(f) = -f**4 - 8*f**3 + f**2 + 8*f + 9. Let m(g) = 2*g**3 - 2*g - 2. Let v(a) = p*q(a) + 9*m(a). Factor v(d).
-2*d*(d - 1)**2*(d + 1)
Let u(c) = -4*c - 8. Let v(l) = l. Let h(i) = u(i) + v(i). Let j be h(-4). Factor -2*s**j + 2*s**2 + 0*s + 2*s - 3*s**3 + s**3.
-2*s*(s - 1)*(s + 1)**2
Let i(s) be the third derivative of -s**8/1680 + 11*s**7/1050 - s**6/15 + 11*s**5/75 + 4*s**4/15 - 32*s**3/15 - 12*s**2 + 11. What is k in i(k) = 0?
-1, 2, 4
Let h(y) = 6*y - 28. Let l be h(5). What is f in l*f**5 - 9*f**4 + 3 - 28*f**2 - 5*f**5 + 34*f**2 - 6*f**3 + 9*f = 0?
-1, 1
Let p(v) be the third derivative of 1/360*v**5 + 0*v**4 + 0*v**3 - 11*v**2 + 0*v + 0. Determine z so that p(z) = 0.
0
What is j in -212/7*j**2 - 50/7 - 2/7*j**5 - 116/7*j**3 - 26/7*j**4 - 170/7*j = 0?
-5, -1
Let m(s) = -2*s**2 + 24*s - 10. Let x be m(9). Let r be ((-4)/10)/(-1 + x/60). Solve -r*w**2 + 12*w - 24 = 0 for w.
4
What is n in -155*n**2 + 1764*n - 35*n**2 + 2*n**3 + 2*n**3 + 22*n**2 = 0?
0, 21
Let c be (8/60 - 0)*(-30)/(-5). Suppose -2*w = -4*r + 2*r, 2*w - 3*r = -2. Determine a so that -2/5*a**w - 6/5*a - c = 0.
-2, -1
Let q be 2 + (3 - 5)*-1. Suppose 7*t - 5*t - q = 0. Determine c, given that 98*c**t + 144*c + 11 + 21 + 38*c**3 + 22*c**2 - 10*c**3 = 0.
-2, -2/7
Let w = 4 + 2. Suppose -6*y - 917 = -941. Factor z**2 - z**2 + 3*z**2 - w*z**3 + 3*z**y.
3*z**2*(z - 1)**2
Let n(i) be the third derivative of -2/255*i**5 + 0*i**3 + 2/51*i**4 - 3/170*i**6 + 0*i + 0 - 5*i**2 + 3/595*i**7. Find o, given that n(o) = 0.
-2/3, 0, 2/3, 2
Let b(d) be the first derivative of -47 + 0*d**3 + 0*d**4 + 2/5*d**5 + 0*d**2 + 0*d + 1/3*d**6. Determine h, given that b(h) = 0.
-1, 0
Let d be (1/54)/((-6)/(-9)). Let k(j) be the third derivative of 4*j**2 - d*j**4 - 1/540*j**6 - 1/27*j**3 + 0 - 1/90*j**5 + 0*j. Factor k(w).
-2*(w + 1)**3/9
Let b(j) be the first derivative of -j**3/6 + 145*j**2/4 + 111. Factor b(m).
-m*(m - 145)/2
Let r(t) be the second derivative of 2/3*t**3 + 2/3*t**4 - 4*t - 2/21*t**7 + 0 + 0*t**5 - 4/15*t**6 + 0*t**2. Suppose r(c) = 0. What is c?
-1, 0, 1
Let w(g) be the third derivative of g**6/120 - 2*g**5/15 + 107*g**2. Let w(m) = 0. What is m?
0, 8
Let 1/12*q**2 - 13/12*q + 10/3 = 0. What is q?
5, 8
Let n(f) = 28*f**3 - 80*f**2 - 1061*f - 991. Let x(h) = -9*h**3 + 27*h**2 + 354*h + 330. Let z(a) = 6*n(a) + 19*x(a). Let z(k) = 0. What is k?
-6, -1, 18
Let a(y) be the first derivative of y**4/24 + 11*y**3/18 + 35*y**2/12 + 25*y/6 + 469. Suppose a(z) = 0. What is z?
-5, -1
Let g(v) be the second derivative of v**7/4200 + v**6/600 + v**4 - 17*v. Let j(n) be the third derivative of g(n). Factor j(x).
3*x*(x + 2)/5
Let g(y) be the third derivative of -7*y**6/15 - 31*y**5/15 - 10*y**4/3 - 2*y**3 + 325*y**2. Solve g(r) = 0 for r.
-1, -3/14
Let n(s) = 41*s**2 + 328*s + 320. Let l(d) = -15*d**2 - 109*d - 106. Let c(m) = 11*l(m) + 4*n(m). Factor c(p).
-(p - 114)*(p + 1)
Let z(c) be the first derivative of 3/10*c**4 + 15 + 6/5*c**3 - 6/25*c**5 - 3*c**2 + 12/5*c. Factor z(w).
-6*(w - 1)**3*(w + 2)/5
Let f(t) be the first derivative of -t**9/112 + t**8/80 + t**7/140 + 8*t**3/3 + 10. Let a(u) be the third derivative of f(u). Determine r, given that a(r) = 0.
-2/9, 0, 1
Let q(z) be the first derivative of 0*z**2 + 2/7*z**4 - 2/7*z**3 - 2/35*z**5 + 0*z + 18. Determine h, given that q(h) = 0.
0, 1, 3
Let y(j) be the first derivative of -10 - 9/2*j**2 + 1/20*j**4 + 1/10*j**3 + 0*j + 1/100*j**5. Let g(m) be the second deriva