q**2 = 0 for q.
48
Let t(w) = -w**3 - 16*w**2 - w - 10. Let o be t(-16). Suppose -v = -5*l, 2*v = 3*v + l - o. Factor -2/9*p**2 + 2/9*p**4 + 0*p + 2/9*p**3 + 0 - 2/9*p**v.
-2*p**2*(p - 1)**2*(p + 1)/9
Let w(y) be the second derivative of y**6/240 - 3*y**5/80 - y**4/4 - y**3/2 - 2*y. Let p(u) be the second derivative of w(u). Factor p(r).
3*(r - 4)*(r + 1)/2
Let g be 112/13 - (-44 + 52). Suppose 18/13*p + g + 10/13*p**2 = 0. What is p?
-1, -4/5
Let r = -127 - -125. Let n be (r/(-15))/((-6)/(-30)). Factor -7/3*g - 1/3*g**4 - n - 3*g**2 - 5/3*g**3.
-(g + 1)**3*(g + 2)/3
Let f(x) be the first derivative of -3/20*x**5 - 4 + 0*x**3 + 0*x**2 - 1/2*x**4 - 5*x. Let z(l) be the first derivative of f(l). Factor z(a).
-3*a**2*(a + 2)
Let h = -54537 + 54542. Let 5/4*p**5 - 25/4*p**2 + 5*p + h + 5/4*p**4 - 25/4*p**3 = 0. Calculate p.
-2, -1, 1, 2
Let a(v) = v - 4. Let o(m) = 3*m**2 - 12*m - 105. Let x(f) = -18*a(f) + o(f). Suppose x(p) = 0. Calculate p.
-1, 11
Let k(o) be the third derivative of -o**7/42 + o**5/4 + 5*o**4/12 - 17*o**2. Find u such that k(u) = 0.
-1, 0, 2
Let a = -2353 + 16473/7. Factor 2/7*k - a*k**2 + 4/7.
-2*(k - 2)*(k + 1)/7
Let c = -2469 + 2469. Find a, given that 1/2*a**4 - 1/6*a**5 + 0 + 1/6*a**2 - 1/2*a**3 + c*a = 0.
0, 1
Let v(j) = 10*j**2 - 235*j - 190. Let b(o) be the first derivative of o**3/3 - 13*o**2 - 21*o - 4. Let t(p) = 55*b(p) - 6*v(p). Factor t(f).
-5*(f + 1)*(f + 3)
Suppose -2*a + 3*j + 15 = 0, -a - 2*j - 10 = a. Suppose a = 4*b - 14*b + 40. Factor -2/3*n**2 - 6 + b*n.
-2*(n - 3)**2/3
Factor 12482/3 + 2/3*i**2 + 316/3*i.
2*(i + 79)**2/3
Let n = 21 + -19. Factor -n*k - k**2 + 0*k + 7*k - 6*k + 2.
-(k - 1)*(k + 2)
Let m(o) = -o**5 + o**3 + 2*o**2 - o - 1. Let y(x) = 15*x**5 + 21*x**4 - 54*x**3 - 84*x**2 + 210*x - 126. Let b(h) = -18*m(h) - y(h). Factor b(d).
3*(d - 3)*(d - 2)**3*(d + 2)
Suppose 14 = 4*f + 3*f. Factor -4*t**4 + 18*t + 5*t**4 + 2 - 17*t - t**3 - 3*t**f.
(t - 2)*(t - 1)*(t + 1)**2
What is n in -n + n + 5961*n**2 - 6 - 4*n**4 - 5941*n**2 - 10 = 0?
-2, -1, 1, 2
Let f(w) be the second derivative of 0 + 1/2*w**3 + 1/4*w**4 + 0*w**2 - 12*w. Factor f(g).
3*g*(g + 1)
Suppose f + 27 = -5*b, -5*f - 147*b + 151*b = -39. Determine g so that 0*g + 2/5*g**2 + 2/5*g**f + 0 = 0.
-1, 0
Let l(d) be the first derivative of -1/2*d**2 - 8 + 0*d**3 + 0*d + 1/4*d**4. Solve l(c) = 0.
-1, 0, 1
Factor -3/7*h**4 + 33/7*h**3 + 36/7*h**2 + 0 + 0*h.
-3*h**2*(h - 12)*(h + 1)/7
Factor 3*n**5 - 10226*n**4 + 10222*n**4 - n**5.
2*n**4*(n - 2)
Let o = -571 - -11421/20. Let v(a) be the third derivative of 1/4*a**4 + 7*a**2 + 0 - 1/30*a**5 - 1/105*a**7 - o*a**6 + 0*a + 2/3*a**3. Factor v(h).
-2*(h - 1)*(h + 1)**2*(h + 2)
Let b(h) be the second derivative of h**4/3 - 88*h**3/3 + 246*h**2 + h - 175. Find j, given that b(j) = 0.
3, 41
Let z be 0/15 - (-15)/20. Determine w, given that -z - 3/8*w + 3/8*w**2 = 0.
-1, 2
Let d(k) = k**3 - 18*k**2 - 24*k - 13. Let q be d(19). Let o = q + 108. Factor 1/5*r**3 + o*r + 1/5*r**4 + 0*r**2 + 0.
r**3*(r + 1)/5
Let c(v) be the second derivative of -1/4*v**4 + 1/60*v**5 + 0 + 4/3*v**3 - 8/3*v**2 - 11*v. Find a, given that c(a) = 0.
1, 4
Let i = 370/217 + 18/31. Factor 16/7*f**2 + 0*f + 4/7*f**4 + 0 - i*f**3.
4*f**2*(f - 2)**2/7
Let h(b) = b**3 + 3*b**2 - 3*b - 8. Let p be h(-2). Determine t so that 167*t**3 - p*t**5 - 189*t**3 + 12*t**2 + 0*t**5 + 12*t**4 = 0.
0, 1, 2, 3
Let n(k) be the third derivative of k**11/665280 + k**10/302400 - k**5/60 + 10*k**2. Let b(r) be the third derivative of n(r). Let b(p) = 0. Calculate p.
-1, 0
Let y be (-7 + -2)*(-6)/18. Solve 0*n**2 + n + 8*n - y*n + 2*n**2 = 0.
-3, 0
Let u be (-2)/(-4) + 0/1. Let g = 7703/5 + -15391/10. Factor u*r**5 + r**2 + 5/2*r - g + 1/2*r**4 - 3*r**3.
(r - 1)**3*(r + 1)*(r + 3)/2
Let d = -30 - -30. Let j(f) be the third derivative of 0*f**3 + 0*f**4 + 1/80*f**6 + 0*f**5 + 1/448*f**8 + 4*f**2 - 3/280*f**7 + 0 + d*f. Factor j(q).
3*q**3*(q - 2)*(q - 1)/4
Solve -40 - 27*d**2 - 3*d**3 - d**3 - 4*d**2 - 70*d - 4*d**2 - d**3 = 0 for d.
-4, -2, -1
What is r in 15*r + 3*r**2 - 8*r - 6*r**2 + 22*r + r + 72 = 0?
-2, 12
Solve 128/3 + 2/3*i**3 - 8/3*i**2 - 32/3*i = 0 for i.
-4, 4
What is f in -32/5*f + 56/5 + 2/5*f**3 - 26/5*f**2 = 0?
-2, 1, 14
Let l(w) = 3*w - 59. Let h be l(23). What is o in h - 11 - 7*o - 5 - 3*o**2 - 2*o = 0?
-2, -1
Let i(t) be the third derivative of 1/20*t**5 - 1/8*t**4 + 0*t - 1/70*t**7 + 1/40*t**6 + 0 + 0*t**3 - 5*t**2. Factor i(s).
-3*s*(s - 1)**2*(s + 1)
Suppose -7 = -8*o + o. Let m(n) = n**3 - n**2 - n - 1. Let x(y) = 4*y**3 - 8*y**2 + 6. Let b(h) = o*x(h) - 3*m(h). Factor b(u).
(u - 3)**2*(u + 1)
Factor 7/4*w**3 - 19/4*w**2 + 1 + 2*w.
(w - 2)*(w - 1)*(7*w + 2)/4
Let p(m) be the first derivative of -m**4/22 + 2*m**3/33 + 30*m**2/11 - 183. Determine h, given that p(h) = 0.
-5, 0, 6
Let r(s) = 7*s**4 - 6*s**3 - 7*s**2 + 4*s - 2. Let b(q) = 6*q**4 - 6*q**3 - 6*q**2 + 3*q - 3. Let h(k) = 2*b(k) - 3*r(k). Suppose h(z) = 0. What is z?
-1, 0, 2/3, 1
Let c(y) be the first derivative of -y**6/900 - y**5/60 - y**4/10 + 3*y**3 + 30. Let t(j) be the third derivative of c(j). Factor t(f).
-2*(f + 2)*(f + 3)/5
Let g(p) = -p**2 - 21*p - 35. Let w be g(-19). Suppose -3*b + 5 = -n + w, 10 = -5*n. Determine t so that 1/2*t**2 + b - 1/2*t = 0.
0, 1
Suppose -6*g - 60*g**4 + 0*g - 5*g**2 - 7*g**2 + 2*g**2 - 99*g**3 - 35*g**2 = 0. What is g?
-1, -2/5, -1/4, 0
Let h(k) = k**3 + 8*k**2 - 16*k + 44. Let q be h(-10). Let s(w) be the second derivative of 0*w**2 - 6*w + 1/50*w**5 + 0 - 2/15*w**q + 4/15*w**3. Factor s(u).
2*u*(u - 2)**2/5
Let l(r) be the second derivative of -r**6/210 - r**5/14 - 25*r**4/84 - 20*r. Factor l(w).
-w**2*(w + 5)**2/7
Let o(x) be the third derivative of -x**7/105 - 7*x**6/10 - 98*x**5/5 - 686*x**4/3 + 2*x**2 - 52. Factor o(t).
-2*t*(t + 14)**3
Let s be 56/21 - (-3)/9. Let a be 20/6 - (-6)/(-54)*s. Determine f so that 8/3*f**2 + 26/9*f**a + 0 + 2/9*f**5 + 4/3*f**4 + 8/9*f = 0.
-2, -1, 0
Let t = -46 + 47. Let q(w) = -5*w**3 + 8*w**2 + 14*w - 24. Let j(f) = f**3 - f**2 - f. Let m(g) = t*q(g) + 2*j(g). Factor m(d).
-3*(d - 2)**2*(d + 2)
Let d = 52497/11 - 4771. Solve d*o + 32/11 + 2/11*o**2 = 0.
-4
Let h = -18 - -22. Suppose -10 = -h*k - 6. Let m(d) = 2*d**2 - 4*d + 2. Let l(i) = -i**2 + i. Let z(s) = k*m(s) + 4*l(s). Solve z(v) = 0.
-1, 1
Let m(u) = u**2 - 8*u - 2. Let h be m(8). Let i be 0 - (-3 - 5/h). Factor 1/4*g**2 + i*g + 1/4.
(g + 1)**2/4
Factor 0*n - 1/3*n**2 + 3.
-(n - 3)*(n + 3)/3
Let f(o) be the second derivative of 9/80*o**5 + 1/40*o**6 + 0*o**2 + 0 + 1/8*o**3 + 3/16*o**4 + 7*o. Determine m, given that f(m) = 0.
-1, 0
Factor 52/7 + 4/7*w**2 + 8*w.
4*(w + 1)*(w + 13)/7
Let -5*q**3 - 45*q**2 - 207 + 37 + 170*q + 80 - 9 - 21 = 0. Calculate q.
-12, 1, 2
Let j(b) be the first derivative of -b**8/560 + b**7/140 + b**6/40 - b**5/5 + b**4/2 - b**3/3 + 5. Let o(p) be the third derivative of j(p). Factor o(a).
-3*(a - 2)*(a - 1)**2*(a + 2)
Let 0 + 8*r - 23/3*r**2 - 1/3*r**3 = 0. Calculate r.
-24, 0, 1
Let b(i) = -7*i**4 - 30*i**3 - 71*i**2 - 4*i - 4. Let c be (16/34)/(-4) - 19/(-17). Let v(r) = r**4 - r**2 + r + 1. Let h(o) = c*b(o) + 4*v(o). Factor h(s).
-3*s**2*(s + 5)**2
Let c be -2 + 1 + (-4 - -7). Suppose f - 2*x = 8, -x = f - c + 3. Find j such that -3*j**4 + j**4 + 6*j**3 - 5*j - j - 2*j**f + 4 = 0.
-1, 1, 2
Let z be (-704)/(-14) - 4/14. Let t be (3/(-6))/((-5)/z). Factor 86*h**4 + t*h**2 - 88*h**4 - 3*h**2.
-2*h**2*(h - 1)*(h + 1)
Suppose -3*t - 6 = 2*h + 4, -h = -5*t - 21. Let n be h/1*(0 + 12/30). Factor n*d**4 - 6/5*d**2 + 2/5*d - 2/5*d**3 + 4/5.
2*(d - 2)*(d - 1)*(d + 1)**2/5
Let b(i) be the first derivative of -i**4 + 28*i**3/3 - 32*i**2 + 48*i + 21. Solve b(r) = 0.
2, 3
Let o(z) be the first derivative of 3*z**5/25 - 9*z**4/10 + 8*z**3/5 + 9*z**2/5 - 27*z/5 - 3. Solve o(u) = 0 for u.
-1, 1, 3
Let c(o) be the first derivative of 2*o**3/7 + 39*o**2/7 + 36*o + 36. Let c(x) = 0. What is x?
-7, -6
Let s(j) be the second derivative of j**6/36 + 5*j**5/12 + 20*j**4/9 + 95*j**3/18 + 25*j**2/4 - j + 6. Find o, given that s(o) = 0.
-5, -3, -1
Let w(f) be the first derivative of f**8/3780 - f**6/270 - f**5/135 - 10*f**3 - 26. Let q(r) be the third derivative of w(r). Let q(a) = 0. What is a?
-1, 0, 2
Solve -5/4*w**3 - 30 - 55/2*w**2