0160 - q**6/1920 - 5*q**4/3 + 4*q. Let o(c) be the third derivative of b(c). Determine n so that o(n) = 0.
-3, 0
Suppose 17 - 20 = -i. Suppose i*w - 9 = -3*p, 5*p - 4*w - 13 = 20. Solve 1/2 - h**2 + 1/2*h**4 + 1/4*h**p - 1/2*h**3 + 1/4*h = 0.
-2, -1, 1
Suppose -m - 4 = 0, -3*x - 5*m - 14 = -0*m. Determine r so that r**4 - x*r**2 + r**2 + 2*r**3 - r**3 - r**5 = 0.
-1, 0, 1
Let b(r) be the second derivative of 0 + 1/90*r**5 - 2/3*r**3 - r - 1/36*r**4 + 0*r**2 + 1/180*r**6. Let x(y) be the second derivative of b(y). Solve x(t) = 0.
-1, 1/3
Let m(k) be the first derivative of k**7/168 - k**6/24 + 5*k**4/6 + 2*k**3 + 5. Let g(x) be the third derivative of m(x). What is w in g(w) = 0?
-1, 2
Suppose -17320/9*y**2 - 676 - 5980/3*y - 4/9*y**5 - 1720/3*y**3 + 100/3*y**4 = 0. What is y?
-1, 39
Let u(r) be the second derivative of 1/60*r**5 + 0 + 18*r + 1/27*r**3 + 1/270*r**6 + 0*r**2 - 5/108*r**4 - 1/378*r**7. Suppose u(f) = 0. What is f?
-2, 0, 1
Suppose 3*r = -5*g + 22 + 34, 20 = 3*g - 5*r. Factor -29*k - 20*k**2 - 23*k - g + 28*k**4 + 2 + 36*k**3 + 16*k.
4*(k - 1)*(k + 1)**2*(7*k + 2)
What is d in -9 + 12*d - 16 + 18 + 4*d**2 - 9 = 0?
-4, 1
Let h(y) be the first derivative of 7*y**6/6 + 33*y**5/5 + 11*y**4/4 - 41*y**3/3 - 9*y**2 + 8*y + 34. What is r in h(r) = 0?
-4, -1, 2/7, 1
Let i(x) be the second derivative of -x**7/840 - x**6/80 - x**5/20 - 5*x**4/12 - 8*x. Let q(p) be the third derivative of i(p). Factor q(u).
-3*(u + 1)*(u + 2)
Let x(y) = -3*y**2 + 178*y - 56. Let a be x(59). Determine s, given that -7/8*s**2 + 0 + 1/4*s - 1/2*s**a = 0.
-2, 0, 1/4
Suppose y = -5 + 12. Suppose 4*d - y*d = -165. Factor -55 - 3*h**4 - 6*h**3 + 6*h + d + 3*h**2.
-3*h*(h - 1)*(h + 1)*(h + 2)
Let w(y) = 2*y**4 + 143*y**3 - 3*y**2 - 3*y - 3. Let o(p) = 3*p**4 + 142*p**3 - 2*p**2 - 2*p - 2. Let i(s) = 3*o(s) - 2*w(s). Factor i(h).
5*h**3*(h + 28)
Let h(u) = u**3 + u**2 - 3*u - 2. Let x be h(3). Let y = x - 19. Solve y*r**3 - 2*r**5 - 6*r**4 + 2*r**2 - 4*r + 2*r**4 + 2*r**4 = 0 for r.
-2, -1, 0, 1
Suppose f - 7*v + 6 = -2*v, -3*f + 4*v + 4 = 0. Factor -8*y + 3*y**3 - 2*y**3 + 21*y**2 - 3*y**4 - 3*y**3 - 4 - f*y**4.
-(y - 1)**2*(y + 2)*(7*y + 2)
Suppose 0 = -4*i + 22 + 58. Suppose i*k - 19*k = 2. Determine c, given that 0 + 3/2*c + 9/4*c**4 - 3/4*c**3 - 3/4*c**5 - 9/4*c**k = 0.
-1, 0, 1, 2
Suppose 0 = g - 2*g + 18. Determine m, given that 9*m + 3*m + 0*m**4 - 3 - 3*m**3 - 21 - 3*m**4 + g*m**2 = 0.
-2, 1, 2
Let y(p) be the first derivative of -9/2*p**3 - 2*p - 3/8*p**6 + 9/2*p**2 + 23/16*p**4 - 35 + 3/5*p**5. Solve y(v) = 0.
-2, 2/3, 1
Let x = -3489 - -17449/5. Factor -x - 2/5*w**2 + 6/5*w.
-2*(w - 2)*(w - 1)/5
Let y be ((-1)/(-4))/(1/4) - -2. Factor 0*r**2 - 1/2*r**5 + r**y + 0 - 1/2*r + 0*r**4.
-r*(r - 1)**2*(r + 1)**2/2
Factor -5*t**2 - 66255 - 177013 - 35210 + 2687*t - 21647 - 237*t.
-5*(t - 245)**2
Let f(y) = -6*y**3 + 18*y**2 - 24. Let l(a) = -a**3 + 3*a**2 - 4. Let d(z) = 6*f(z) - 34*l(z). Determine k, given that d(k) = 0.
-1, 2
Let x(g) be the third derivative of g**5/15 - 100*g**4/3 + 20000*g**3/3 - 744*g**2. Factor x(a).
4*(a - 100)**2
Suppose -r - 6 = -3*r. Let n be ((-24)/3 - -8)/2. Factor n*u**2 - u**4 - 1/2*u**5 + 0*u - 1/2*u**r + 0.
-u**3*(u + 1)**2/2
Suppose 50 = 2*y + r, 0 = 6*r - 3*r - 6. Factor -4*z**2 + 9*z**2 - 4*z**3 - 8 - 23*z**2 - y*z.
-2*(z + 2)**2*(2*z + 1)
What is v in -18 + 135/2*v**3 - 39/2*v**5 + 111/2*v**4 - 138*v - 255/2*v**2 = 0?
-1, -2/13, 2, 3
Let z = 3628/3 - 1209. Determine s so that -z - 3/2*s + 11/6*s**2 = 0.
-2/11, 1
Let v be -1 - -4 - (-2 - 0). Suppose v*h + 2 = 6*h. Factor 5*m**3 + 64*m**2 - 3*m**3 - 66*m**h.
2*m**2*(m - 1)
Let f be (-22)/(-10) - (144/(-45))/4. Determine r, given that 1/6*r**2 + 3/2*r**4 + 0*r + 0 + 2/3*r**5 + r**f = 0.
-1, -1/4, 0
Let a(l) be the second derivative of 3*l**5/100 - 17*l**4/5 + 1221*l**3/10 - 3267*l**2/5 - 198*l. Let a(r) = 0. What is r?
2, 33
Let i(t) be the second derivative of t**6/15 - 3*t**5/10 + t**4/3 + 31*t. Factor i(r).
2*r**2*(r - 2)*(r - 1)
Find p such that 108*p + 365*p**2 - 9*p - 3*p**3 + 271*p - 2*p**3 = 0.
-1, 0, 74
Let y(j) be the second derivative of j**10/60480 + j**9/5040 - 4*j**4/3 - 21*j. Let n(h) be the third derivative of y(h). Let n(p) = 0. What is p?
-6, 0
Suppose -133*c**2 - 299*c - 135*c**3 + 21 + 463*c**2 + 847*c - 51 - 313*c = 0. What is c?
-2/3, 1/9, 3
Let t(c) be the first derivative of c**4/4 - 82*c**3/15 + 227*c**2/10 - 78*c/5 - 719. Let t(s) = 0. What is s?
2/5, 3, 13
Suppose -6 = -3*h + 4*q - 2, 0 = -5*h + 4*q + 12. Let r be 2 + 1 - 4/h. What is n in -4*n**2 - n - r*n**2 - 2 - 5*n**2 + 12*n**2 = 0?
-1, 2
Let a(r) be the second derivative of r**6/18 + 5*r**5/2 + 35*r**4 + 980*r**3/9 - 109*r. Solve a(k) = 0.
-14, -2, 0
Let u(i) be the first derivative of -i**6/6 - i**5/5 + 2*i**4 + 4*i**3 - 252. Factor u(m).
-m**2*(m - 3)*(m + 2)**2
Suppose -25 = -9*b - 7. Let x be 4/10*(-7 + 89/12). Suppose x*v**b + 2/3 + 2/3*v = 0. What is v?
-2
Let g be 0 + 56/(-140)*(-10)/8. Solve -1/2*o + g*o**3 + 1/2*o**4 + 1 - 3/2*o**2 = 0 for o.
-2, -1, 1
Let v = 9624/7 - 1373. Solve -4/7 + 1/7*d**3 - v*d**4 + 4/7*d + 17/7*d**2 - 5/7*d**5 = 0 for d.
-2, -1, 2/5, 1
Let k(t) be the first derivative of -2*t**5/35 + 5*t**4/7 - 64*t**3/21 + 38*t**2/7 - 30*t/7 + 41. Suppose k(a) = 0. Calculate a.
1, 3, 5
Let n = -139 - -195. Let -125*b**2 + 5*b**5 - 48*b**3 + 143*b**3 - 14*b**4 + 24*b + n*b - 21*b**4 - 20 = 0. Calculate b.
1, 2
Let q = 1067 - 1063. Solve -24/5 + 18/5*i**2 - 3*i**3 + 3/5*i**q + 12/5*i = 0.
-1, 2
Let i(j) be the third derivative of -j**7/1050 + j**6/300 + j**5/20 - 3*j**4/10 + 101*j**2 - 2. Solve i(o) = 0 for o.
-4, 0, 3
Let v = -38 + 35. Let j(w) = -2*w**3 - 5*w**2 + 7*w. Suppose q = -0*q - m + 3, -5*m = -q - 21. Let g(d) = d**2 - d. Let r(c) = q*j(c) + v*g(c). Factor r(x).
2*x*(x - 1)*(x + 2)
Suppose 4*f = -q - 8, 0*f + 4 = q - 2*f. Suppose q*u**4 + u**2 - u**4 - 170 + 170 = 0. What is u?
-1, 0, 1
Let z be (-5)/(-2)*(4 - (1 - -1)). Factor 4*c + 0 - 3 + z + 2*c**2 + 0.
2*(c + 1)**2
Determine k so that 28/13*k + 2/13*k**2 + 2 = 0.
-13, -1
Let p(g) = -g**3 - 118*g**2 - 112*g + 5. Let i(v) = 3*v**3 + 414*v**2 + 393*v - 18. Let a(t) = -5*i(t) - 18*p(t). Suppose a(k) = 0. Calculate k.
-17, -1, 0
Let x(a) be the third derivative of 1/120*a**5 - 1/6*a**3 + 1/48*a**4 + 0 + a**2 + 0*a. Solve x(r) = 0.
-2, 1
Let a = 46 - 45. Let m be a/7 + (-16)/(-280). Let -m*r - 1/5*r**2 + 0 = 0. What is r?
-1, 0
Let w = -2 + -10. Let n be ((-2)/w)/((-3)/(-9)). Solve n*t - 5/4*t**3 + 3/4*t**2 + 0 = 0.
-2/5, 0, 1
Suppose -17*t = 18*t. Factor 1/3*n**3 + n**2 + 0 + t*n.
n**2*(n + 3)/3
Solve -82/3*i**2 + 122/3*i - 20 + 22/3*i**3 - 2/3*i**4 = 0.
1, 2, 3, 5
Let f(d) be the third derivative of -3*d**8/560 - 16*d**7/525 - d**6/300 + 11*d**5/75 + 11*d**4/120 - 2*d**3/5 + 309*d**2. Suppose f(y) = 0. What is y?
-3, -1, 4/9, 1
Let l(q) be the first derivative of -q**4/16 + 3*q**3/4 - q**2 + 152. Factor l(r).
-r*(r - 8)*(r - 1)/4
Suppose 6*z - 2*z - 3*o - 10 = 0, 0 = -3*z - 2*o - 1. Suppose 5*s + 5*l - 5 = 0, -s + l = -4*s + z. Factor 0*v + s - 3/7*v**4 + 6/7*v**3 - 9/7*v**5 + 0*v**2.
-3*v**3*(v + 1)*(3*v - 2)/7
Let h(j) be the third derivative of j**6/30 - 7*j**5/15 - j**4/6 + 14*j**3/3 + 49*j**2. Factor h(r).
4*(r - 7)*(r - 1)*(r + 1)
Let v be (41/6 - 6)*(-260)/3. Let x = -72 - v. Determine s, given that x + 1/9*s**2 + 1/3*s = 0.
-2, -1
Let u(q) be the third derivative of -q**7/70 - 25*q**6/24 - 1279*q**5/60 + 175*q**4/8 + 147*q**3 + 3*q**2 + 46*q. What is a in u(a) = 0?
-21, -2/3, 1
Let m = 28745/4 - 7186. Find q such that m*q**2 - 1 - 3/4*q = 0.
-1, 4
Let k(b) be the second derivative of 7*b**8/2880 + 31*b**7/1080 - 17*b**6/270 + b**5/18 - 5*b**4/2 - 7*b. Let n(m) be the third derivative of k(m). Factor n(a).
(a + 5)*(7*a - 2)**2/3
Determine y so that 457*y**2 - 146*y - 461*y**2 - 2*y + 312 = 0.
-39, 2
Suppose -6 = -2*w - 2*v + 26, -74 = -5*w + v. Suppose 0 = -5*l + w, -t + 2*l - 6 = -2*t. Factor -1/2*k**2 + t + k.
-k*(k - 2)/2
Let j(r) be the second derivative of r**4/48 - r**3 + 23*r**2/8 - 13*r. Solve j(n) = 0.
1, 23
Let o = -2 + 7. Let b(w) be the third derivative of o*w**2 + 0 - 1/20*w**5 - 2*w**3 + 5/8*w**4 + 0*w. Factor b(f).
-3*(f - 4)*(f - 1)
Let d(s) = 82*s - 488. Let k be d(6). Let y be 85/(-10)*(-2 