1)*(d + 1)
Let b(x) = 7*x**3 - 4. Let h be -2*(-8)/(-8 - -4). Let z(i) = -4*i**3 - 9*i**3 - 2 + 9. Let a(p) = h*z(p) - 7*b(p). Find u, given that a(u) = 0.
0
Let r = -187 - -322. Solve -r*u + 39*u + 16 + 65*u**2 + 19*u**2 + 196*u**3 = 0 for u.
-1, 2/7
Let x be -3 - (3/(-3) + -2). Factor 0*w**2 - 2/5*w**3 + x*w + 0 - 2/5*w**4.
-2*w**3*(w + 1)/5
Suppose -82*c = -101*c + 38. Factor -4/3*d**c + 4*d - 8/3.
-4*(d - 2)*(d - 1)/3
Suppose 5*j + 15 = 2*j, -3*g = j + 2. Let r(b) = -28*b**3 - 28*b**2 + 20*b. Let q(a) = a**3 - a. Let x(c) = g*r(c) + 12*q(c). Factor x(l).
-4*l*(l + 2)*(4*l - 1)
Determine x so that 5 - 5 + 2*x**3 - 16*x**2 + 0*x**3 + 32*x = 0.
0, 4
Let f = -89/2037 + -5/97. Let x = f + 29/84. Let -1/2*r + 0*r**2 - 1/4*r**4 + 1/2*r**3 + x = 0. What is r?
-1, 1
Suppose 14*m - 17*m = -15. Let v(w) be the second derivative of 3/20*w**m + 0 + 2*w - 1/30*w**6 + 1/12*w**4 + 0*w**2 - 1/3*w**3 - 1/42*w**7. Factor v(h).
-h*(h - 1)**2*(h + 1)*(h + 2)
Let q(h) = -9*h**3 + 3*h - 3. Let x(r) = -r**4 - r**3 - r**2 + r - 1. Let b(d) = q(d) - 3*x(d). Suppose b(l) = 0. Calculate l.
0, 1
Let 12*f + 3*f**2 + 0*f**2 - 3*f**4 - 5*f**3 + 0*f**2 - 7*f**3 = 0. What is f?
-4, -1, 0, 1
Let r = -1 + 3. Let u = 0 - 0. Let u*i**2 + i + i + i**r + 1 = 0. Calculate i.
-1
Let r = -7 - -13. Factor m**2 + 0*m**2 - 9*m - 4*m**2 - r.
-3*(m + 1)*(m + 2)
Let c be (7/(-5))/(2/(-5)). Let x be (45 - 45)*1/4*1. Find z, given that z**4 - z**2 + 0 + x*z + c*z**3 - 7/2*z**5 = 0.
-1, 0, 2/7, 1
Suppose -3*a + 4*a - 4 = 0. Let i(c) be the first derivative of -4/7*c - 3/14*c**a - 2 - c**2 - 16/21*c**3. Let i(o) = 0. What is o?
-1, -2/3
Let t(d) be the first derivative of -2*d**5/45 + d**4/6 - 2*d**3/9 + d**2/9 - 7. Determine l, given that t(l) = 0.
0, 1
Let z(r) be the second derivative of r**4/3 + r**3/3 - r**2 + 4*r. Solve z(a) = 0 for a.
-1, 1/2
Let r(w) be the second derivative of 1/12*w**3 - 1/15*w**6 - 1/12*w**4 + 5*w + 0 - 7/40*w**5 + 0*w**2. Find d, given that r(d) = 0.
-1, 0, 1/4
Let g = -3118/13 + 240. Factor -g*l - 4/13*l**2 + 0 - 2/13*l**3.
-2*l*(l + 1)**2/13
Let s(m) be the second derivative of -m**6/90 - m**5/15 - m**4/6 - 2*m**3/9 - m**2/6 + 40*m. Suppose s(u) = 0. What is u?
-1
Solve 1/5 + 0*o**3 + 1/5*o**4 + 0*o - 2/5*o**2 = 0 for o.
-1, 1
Let k(b) be the second derivative of -2*b + 0 + 2/15*b**3 - 1/75*b**6 + 1/5*b**2 - 1/25*b**5 + 0*b**4. Factor k(g).
-2*(g - 1)*(g + 1)**3/5
Solve 23*p**2 + 2*p**2 - 2 - 8*p**2 + 18*p**2 + 33*p = 0 for p.
-1, 2/35
Let r = -1210 + 1212. Suppose 32/3*x - 64/3 - 4/3*x**r = 0. What is x?
4
Let u(y) be the first derivative of y**4/2 - 2*y**3/3 - 4*y**2 + 8*y - 10. Determine m, given that u(m) = 0.
-2, 1, 2
Let g(c) be the third derivative of 1/20*c**5 + 1/120*c**6 + 0*c - 1/3*c**3 - 1/210*c**7 - 1/24*c**4 - 9*c**2 + 0. Factor g(z).
-(z - 2)*(z - 1)*(z + 1)**2
Let n = -7 + 9. Suppose 0*z**2 - 6 + 4*z**2 - z - z**n + 4*z = 0. Calculate z.
-2, 1
Let w be 2/4*(11 - 1). Suppose -w*j = -3*j. Factor 10 + 2*x**4 - 10 + 2*x**3 + j*x**4.
2*x**3*(x + 1)
Let w(j) be the second derivative of 1/70*j**5 - 1/21*j**3 + 0 - j + 0*j**4 + 0*j**2. Factor w(m).
2*m*(m - 1)*(m + 1)/7
Let u(i) be the third derivative of 0 - 7*i**2 - 7/15*i**5 + 8/3*i**3 - 2/3*i**4 + 0*i - 1/15*i**6. Let u(p) = 0. Calculate p.
-2, 1/2
Let l(s) be the third derivative of 1/90*s**5 + 0 + 1/72*s**4 + 0*s + 0*s**6 + s**2 - 1/315*s**7 - 1/1008*s**8 + 0*s**3. Find z such that l(z) = 0.
-1, 0, 1
Let y = -7 + 32. Suppose -s + y = 4*s. Factor 0*g**3 - 2/7*g - 4/7*g**4 + 0 + 4/7*g**2 + 2/7*g**s.
2*g*(g - 1)**3*(g + 1)/7
Let t(z) be the first derivative of -z**4/3 - 22*z**3/9 - 4*z**2 + 6*z - 51. Determine d, given that t(d) = 0.
-3, 1/2
Let n(p) = -2*p**5 + 12*p**4 + 17*p**3 - p**2 - 20*p - 11. Let y(g) = -g**5 + g**3 + g**2 - g - 1. Let t(l) = -n(l) + 5*y(l). Let t(a) = 0. Calculate a.
-2, -1, 1
Let m(q) be the second derivative of 2/5*q**5 + q - 2/15*q**6 + 1/3*q**4 - 4/3*q**3 + 0*q**2 + 0. Factor m(r).
-4*r*(r - 2)*(r - 1)*(r + 1)
Let t(n) = -15*n**5 - 25*n**4 - 10*n**3 - 5*n + 5. Let q(l) = -l**5 + l**3 + l - 1. Let a(f) = -5*q(f) - t(f). Factor a(i).
5*i**3*(i + 1)*(4*i + 1)
Let k be -14 - -15 - (24/(-15) - 1). Factor 2/5*o**2 + k - 12/5*o.
2*(o - 3)**2/5
Let s = 91 - 55. Let q = s - 34. Solve -1/2*b**4 + 0 + 0*b + 1/2*b**3 + b**q = 0 for b.
-1, 0, 2
Let x(w) = -3*w - 3*w - 3 - 2 + w. Let d be x(-5). Suppose -d*q + 20*q + 12*q**3 + q**2 + 64*q**5 + 48*q**4 = 0. What is q?
-1/4, 0
Suppose 4*s + v = 13, -4*s - 4*v + 5*v = -19. Factor 3/2*x - 1 + x**2 + 0*x**s + 1/2*x**5 - 2*x**3.
(x - 1)**3*(x + 1)*(x + 2)/2
Let -2/9*d**2 - 2/9 - 4/9*d = 0. What is d?
-1
Factor 7/3*k**3 + 1/3 + 3*k**2 + 2/3*k**4 + 5/3*k.
(k + 1)**3*(2*k + 1)/3
Factor 265*y**2 - 2*y - 2*y**4 + 2*y**3 - 1 - 265*y**2 + 3*y**4.
(y - 1)*(y + 1)**3
Let m(v) be the first derivative of 8 - 8/7*v - 6/7*v**2 + 0*v**3 + 1/7*v**4. Factor m(z).
4*(z - 2)*(z + 1)**2/7
Factor 0 + 0*w**2 + 1/5*w - 1/5*w**3.
-w*(w - 1)*(w + 1)/5
Let i be (-20)/(-25) + (-12)/(-10). Factor -i*x - 3*x**2 - 3 - 8*x + 4*x + 0.
-3*(x + 1)**2
Let v = -150 - -152. Solve 2/5*q**5 + 2/5*q + 0 + 12/5*q**3 - 8/5*q**v - 8/5*q**4 = 0.
0, 1
Find x, given that -3*x**3 + 0*x**3 - 2 - 1 - 9*x - 9*x**2 = 0.
-1
Let f(a) be the second derivative of a**6/240 - a**5/40 + a**4/16 - a**3/12 + a**2/16 - 9*a. Suppose f(j) = 0. Calculate j.
1
Factor 106*m**4 - 43*m - 94*m**4 - 4*m**3 - 64*m**2 - 12 - 4*m**3 - 13*m.
4*(m - 3)*(m + 1)**2*(3*m + 1)
Let h(l) be the second derivative of l**7/112 + l**6/20 + 9*l**5/80 + l**4/8 + l**3/16 - 34*l. Factor h(p).
3*p*(p + 1)**4/8
Suppose 4*q = 14 - 6. Let c = 2 + 6. Factor c + 1 + i**q - 5 - 4*i.
(i - 2)**2
Let d be (-19)/(-247) + 411/65 - 6. Factor -1/5*a**2 + 3/5*a**3 - 3/5*a - 1/5*a**4 + d.
-(a - 2)*(a - 1)**2*(a + 1)/5
Suppose 4/3*g**2 - 4/3 + 0*g = 0. What is g?
-1, 1
Let a be -8*3/(-120) + 1/20. Determine s so that -1/4*s**2 + 0*s + a = 0.
-1, 1
Factor -2/7*l**3 + 1/7 + 2/7*l - 1/7*l**4 + 0*l**2.
-(l - 1)*(l + 1)**3/7
Let j(t) = 2*t**2 - 2*t - 3. Let l be -3 + 2 - (6 - 3). Let n(o) = 2*o**2 - 2*o - 4. Let h(z) = l*j(z) + 3*n(z). Find r, given that h(r) = 0.
0, 1
Let m = 29 - 17. Suppose 3*a = m, 4*b + 4 + 4 = 2*a. Let -40/3*d**4 + 50/3*d**5 + 8/3*d**3 + b*d**2 + 0 + 0*d = 0. What is d?
0, 2/5
Let n(m) be the second derivative of -49*m**6/30 + 7*m**5/2 + m**4/4 - 10*m**3/3 - 2*m**2 + m. Find d, given that n(d) = 0.
-2/7, 1
Let d(a) be the first derivative of a**8/560 - 3*a**7/350 + 3*a**6/200 - a**5/100 - a**2 - 4. Let y(z) be the second derivative of d(z). Factor y(x).
3*x**2*(x - 1)**3/5
Let -1 + 56*r**5 + 311/2*r**3 - 68*r**2 + 27/2*r - 156*r**4 = 0. What is r?
1/4, 2/7, 1
Suppose 0 = 4*p + p. Suppose z = 2 - p. Factor 0 - 2/5*b**z - 2/5*b.
-2*b*(b + 1)/5
Factor 9/7 - 9/7*m**2 - 3/7*m**3 + 3/7*m.
-3*(m - 1)*(m + 1)*(m + 3)/7
Let i = 6 + -4. Let h = 3 - i. What is b in 6*b**2 + 0*b**2 - h + 12*b + 9 + b**3 = 0?
-2
Let r(m) be the first derivative of -m**4/4 - 10*m**3/3 + 5*m**2 - 8*m + 5. Let p be r(-11). Solve 0*g + 0 - 1/3*g**4 + 0*g**2 + 1/3*g**5 + 0*g**p = 0 for g.
0, 1
Solve 0 + 6*h + 3 + 13*h**2 - 10*h**2 = 0.
-1
Let r = -7 - -9. Determine f, given that -f**r + 3 + 3 - 3*f - f**2 - 7*f**2 = 0.
-1, 2/3
Let x(k) = -7*k**5 + 5*k**4 - 10*k**3 - 6*k**2 + 13*k + 1. Let w(a) = -a**5 - a**4 - a**3 + a + 1. Let y(i) = -4*w(i) + x(i). Factor y(r).
-3*(r - 1)**4*(r + 1)
Let d(n) = 9*n**2 + n + 1. Let x be d(-1). Let t(z) be the first derivative of -x*z**2 - 4*z - 14/3*z**3 - 1. Factor t(m).
-2*(m + 1)*(7*m + 2)
Let p be 7 + -2 + -1 - -3. Suppose p*k = 3*k. Factor k + 3*n**2 - 3*n**4 - 3/2*n + 3/2*n**5 + 0*n**3.
3*n*(n - 1)**3*(n + 1)/2
Let k(d) be the first derivative of 5*d**6/6 + 2*d**5 + 12. Factor k(w).
5*w**4*(w + 2)
Let j = 719 - 2155/3. Factor 26/15*m + j*m**2 - 4/5.
2*(m + 3)*(5*m - 2)/15
Let h(v) = -6*v**3 + 4*v**2 + 2*v + 1. Let q(d) = d**3 - d**2 + 2*d + 1. Let r(k) = h(k) + 3*q(k). Find o, given that r(o) = 0.
-1, -2/3, 2
Let k = 15 + -74/5. Factor 0*d + 0*d**3 - 1/5*d**4 + k*d**2 + 0.
-d**2*(d - 1)*(d + 1)/5
Let x(a) = -2*a**2 - 4*a**3 - 8 - 3*a + 8. Let f(k) = 3*k**3 + k**2 + 2*k. Let h(q) = 3*f(q) + 2*x(q). Determine g so that h(g) = 0.
0, 1
Let n(t) be the first derivative of t**8/5040 - t**7/2520 - t**6/1080 + t**5/360 - t**