3*(j + 1)**4
Let -9/2*z**5 + 3/2*z**3 + 15/2*z**2 + 0 - 15/2*z**4 + 3*z = 0. What is z?
-1, -2/3, 0, 1
Let k(s) = 39*s**4 + 39*s**3 + 15*s**2 - 3*s. Let z(i) = 20*i**4 + 19*i**3 + 8*i**2 - i. Let h(j) = -5*k(j) + 9*z(j). Determine c, given that h(c) = 0.
-1, 0, 2/5
Suppose 5*l - 10 = -10. Factor 0 - 3/5*c**2 + l*c.
-3*c**2/5
Let p(b) be the third derivative of -b**5/150 + b**4/10 - 3*b**3/5 - 6*b**2. Find y, given that p(y) = 0.
3
Suppose 3 - 5 = -q. Let g(x) be the third derivative of 0*x**3 - 1/60*x**5 + 0 - 1/24*x**4 + q*x**2 + 0*x. Find b, given that g(b) = 0.
-1, 0
Let 3/2*m + 1 + 1/2*m**2 = 0. What is m?
-2, -1
Suppose 6*n - 5*n = 0. Suppose 6 + 8*u + 11*u**2 + n*u**2 - 3*u**2 - 6*u**2 = 0. Calculate u.
-3, -1
Factor 10*s + 6*s + 1 + 31 + s**2 + s**2.
2*(s + 4)**2
Let g = -10/3 + 41/6. Factor 0 - g*t**4 + t - t**3 + 7/2*t**2.
-t*(t - 1)*(t + 1)*(7*t + 2)/2
Let g(w) be the second derivative of 0 - 8*w + 8*w**2 - 5/2*w**5 - 25/3*w**6 + 15*w**4 + 52/3*w**3. Factor g(n).
-2*(n - 1)*(5*n + 2)**3
Let u(p) = p**5 + 5*p**4 + p**3 - 3*p**2. Let v(a) = -2*a**5 - 9*a**4 - 2*a**3 + 5*a**2. Let o(r) = -5*u(r) - 3*v(r). What is d in o(d) = 0?
-1, 0
Let v be 2 + (21/49)/(2/(-7)). Let x(s) = 2*s. Let y be x(0). Factor v*r**3 + y*r**2 - 1/4 + 1/4*r**4 - 1/2*r.
(r - 1)*(r + 1)**3/4
Let q(z) be the first derivative of z**4/4 + 5*z**3/3 + z + 1. Let w be q(-5). Factor -3 + 2 - w - o + o**2.
(o - 2)*(o + 1)
Let k be 2/315*(-18)/(-24). Let u(s) be the third derivative of -1/21*s**3 + 0 + 0*s**4 - 2*s**2 + k*s**5 + 0*s. Factor u(t).
2*(t - 1)*(t + 1)/7
What is d in 1/6*d**2 - 2 + 1/6*d**3 - 4/3*d = 0?
-2, 3
Let d(c) be the third derivative of 4*c**7/315 - c**6/18 + c**5/10 - 7*c**4/72 + c**3/18 + 6*c**2. Solve d(f) = 0.
1/2, 1
Solve 3*w**2 - w**3 - 2*w**4 + w**4 + w - 2 + 3*w**4 - 3*w**4 = 0.
-2, -1, 1
Let g(a) be the second derivative of 0 - 1/35*a**5 + 0*a**2 - 7*a - 1/147*a**7 + 0*a**3 - 1/35*a**6 + 0*a**4. Find s, given that g(s) = 0.
-2, -1, 0
Let n(t) be the first derivative of -t**6/15 - 8*t**5/25 - 2*t**4/5 - 10. Let n(g) = 0. What is g?
-2, 0
Let v(g) be the first derivative of 1 + 8*g**3 - 9/2*g**4 + 11*g**2 + 4*g. What is x in v(x) = 0?
-1/3, 2
Let m(z) = z**2 - 8*z - 5. Let t be m(9). Suppose -t*i - 2*c + 24 = 0, 8 = 5*i + c - 25. Let 2*o**3 - 9 + 36*o**2 - i + 24*o + 8*o**3 = 0. What is o?
-2, 2/5
Let g(p) = p**3 - 5*p**2 - 6*p + 3. Let y be g(6). Factor 2*k**3 - 5 - 11*k - 7*k**3 + 3 - 2*k**y - 16*k**2.
-(k + 1)**2*(7*k + 2)
Suppose -4*m - 9 = 3*o + 2, m + 20 = 5*o. Let t(d) be the first derivative of -2*d - 2*d**o - 3*d**2 - 1/2*d**4 + 1. Factor t(z).
-2*(z + 1)**3
Suppose 2/3*a**2 - 38/9*a + 4/3 = 0. What is a?
1/3, 6
What is f in -6/5*f**3 + 3/5*f + 12/5*f**2 + 3/5*f**5 - 6/5 - 6/5*f**4 = 0?
-1, 1, 2
Let t = 2 - 3. Let v be 0 - t - (-2 + 1). Factor -2*q**4 + q**5 + q + 4*q**v - 2*q**2 - 2*q.
q*(q - 1)**3*(q + 1)
Factor 2*f - 2*f + 75 - 15*f - 15*f + 3*f**2.
3*(f - 5)**2
Let c = 20 - 53. Let l be (4/(-10))/(c/55). Determine r so that 0 + l*r**2 + 2/3*r**3 + 0*r = 0.
-1, 0
Let t(n) = 2*n**3 + 7*n**2 - 3*n - 3. Let d(a) = -2*a**3 - 6*a**2 + 2*a + 2. Let r(h) = 3*d(h) + 2*t(h). Solve r(o) = 0.
-2, 0
Let h(o) be the third derivative of -o**2 + 1/14*o**4 - 2/7*o**3 + 0*o - 1/140*o**5 + 0. Factor h(q).
-3*(q - 2)**2/7
Let s = 152 - 301/2. What is c in -39/4*c**3 + 27/4*c**2 - s + 3/4*c + 15/4*c**4 = 0?
-2/5, 1
Let s = 78 - 623/8. Let u(w) be the second derivative of 1/4*w**3 - 4*w + 0 - s*w**4 + 1/40*w**5 - 1/4*w**2. Suppose u(d) = 0. Calculate d.
1
Factor 5*x**3 - 27*x**2 - 5*x**5 + 27*x**2.
-5*x**3*(x - 1)*(x + 1)
Suppose -15*f = -27*f. Factor -2/7*r**2 + 4/7*r + f.
-2*r*(r - 2)/7
Factor -3/5*f**2 + 18/5*f - 27/5.
-3*(f - 3)**2/5
Factor -375*r**3 + 625*r**2 + 75*r**4 - r**5 - 4*r**5 + 5*r - 5*r.
-5*r**2*(r - 5)**3
Let o(r) be the third derivative of 4*r**2 + 0 + 1/60*r**5 + 0*r + 1/6*r**3 + 1/12*r**4. Factor o(z).
(z + 1)**2
Suppose 7*f - 28 = 5*f. Let g be ((-8)/f + 2)*1. Suppose -4/7 - g*o - 8/7*o**2 - 2/7*o**3 = 0. What is o?
-2, -1
Let q(a) = -a**2 + 2. Let p be q(0). Factor -2*w**3 - 4*w + 1 - 1 + 6*w**p.
-2*w*(w - 2)*(w - 1)
Let t be ((-4 - -1) + 1)/(-5 + 2). Suppose 0 = 4*h + 2 - 10. Suppose -t + 1/3*a**h - 1/3*a = 0. Calculate a.
-1, 2
Let b(m) = 21*m**5 - 35*m**4 + 10*m**3 + 7*m**2 + 3*m. Let r(u) = -125*u**5 + 209*u**4 - 60*u**3 - 41*u**2 - 17*u. Let z(f) = -34*b(f) - 6*r(f). Factor z(d).
4*d**2*(d - 1)**2*(9*d + 2)
Let t be 63/49 - (-4)/(-14). Let i(p) be the first derivative of 1/2*p**4 - p**2 - 2/3*p**3 + 2*p + t. Let i(m) = 0. Calculate m.
-1, 1
Let j(x) be the second derivative of x**5/20 + x**4/12 - x**3/6 - x**2/2 + 5*x. Factor j(h).
(h - 1)*(h + 1)**2
Let o = -10224 - -1022391/100. Let h = 4/25 - o. Factor 0 - h*i + i**4 + 3/2*i**2 - 9/4*i**3.
i*(i - 1)**2*(4*i - 1)/4
Suppose -4 = -2*g + 3*f, 4*g + 4*f = 16 + 12. Solve -9*u**4 + 4*u**2 + 6*u**g + 3*u**2 - 3*u**5 + 5*u**2 = 0.
-1, 0, 2
Suppose -9*i**4 + 0*i + 3*i - 15*i**2 - 3*i**4 + 24*i**3 = 0. Calculate i.
0, 1/2, 1
Let y(k) be the third derivative of -k**5/240 - k**4/16 - 3*k**3/8 - 39*k**2. Factor y(l).
-(l + 3)**2/4
Factor -2/15*z**3 + 0*z - 2/15*z**2 + 0.
-2*z**2*(z + 1)/15
Suppose -3*d - 2 = -5. Let b = d - -1. Factor 4*o + 3*o**2 - 3*o - 4*o**2 + b.
-(o - 2)*(o + 1)
Let y = 8 - 37/5. Factor 0 - 1/5*l - y*l**2 - 1/5*l**4 - 3/5*l**3.
-l*(l + 1)**3/5
Let a(o) be the second derivative of -3*o**7/14 + 13*o**6/5 - 21*o**5/2 + 21*o**4 - 47*o**3/2 + 15*o**2 + o + 4. Let a(b) = 0. Calculate b.
2/3, 1, 5
Let j(u) be the third derivative of 0*u + 2*u**2 + 0 + 1/105*u**6 + 0*u**3 - 1/42*u**5 + 1/84*u**4. Factor j(x).
2*x*(x - 1)*(4*x - 1)/7
Suppose 17 = 4*t + 5*v, -2*t - t = 5*v - 14. Factor 3*s**3 - 3*s**2 - 1 - t*s**3 - 3*s - s**3.
-(s + 1)**3
Let y(u) = u**3 + 11*u**2 + 11*u + 12. Let g be y(-10). Let t be (g - 3)/(-1)*0. Suppose 2/3*b + t + 4/3*b**2 - 4/3*b**4 + 0*b**3 - 2/3*b**5 = 0. Calculate b.
-1, 0, 1
Let c be -6*(84/(-16) + 5). Let n(w) be the first derivative of 0*w - 3 + 4/3*w**3 + c*w**4 + 0*w**2 - 2*w**5. Let n(h) = 0. What is h?
-2/5, 0, 1
Suppose 4*h - 5*m - 23 = 9, 2*h - 18 = 3*m. Factor 4*l - 2*l**2 + 4 - h*l - l - 2*l.
-2*(l - 1)*(l + 2)
Let u(w) be the third derivative of -w**7/105 - w**6/30 + w**4/6 + w**3/3 - 8*w**2. Factor u(c).
-2*(c - 1)*(c + 1)**3
Let w = -67/2 + 34. Factor 1/4*i**2 + 1/4 - w*i.
(i - 1)**2/4
What is h in 10/11*h**3 - 10/11*h + 2/11*h**4 - 8/11 + 6/11*h**2 = 0?
-4, -1, 1
Let h(k) be the second derivative of k**4/6 + k**3/3 + 10*k. Factor h(s).
2*s*(s + 1)
Let l(v) be the third derivative of -v**6/15 + v**5/2 + 2*v**4 + 5*v**3/3 - 35*v**2. Factor l(i).
-2*(i - 5)*(i + 1)*(4*i + 1)
Let m(g) be the first derivative of -8/21*g**3 + 0*g - 7 + 1/7*g**4 + 2/7*g**2. Find z, given that m(z) = 0.
0, 1
Factor -5*w**4 + 5*w**2 - 5*w**3 - 8*w**3 + 10*w**4 + 3*w**3.
5*w**2*(w - 1)**2
Determine o so that 0 + 0 - 36*o**3 - 12*o**5 + 8*o**2 + 57*o**4 - 17*o**4 = 0.
0, 1/3, 1, 2
Find q such that -20*q**3 - 29*q - 89*q - 3*q**2 + 103*q**2 + 33*q + 20 = 0.
1/2, 4
Let t(c) = 8*c**2 + 72*c - 75. Let r(v) = 12*v**2 + 108*v - 112. Let u(f) = -5*r(f) + 8*t(f). Determine p, given that u(p) = 0.
-10, 1
Let t = -5 - -4. Let s be t/2*2*-6. Find r, given that 3*r**3 + 3*r - s*r**2 - r - 2*r = 0.
0, 2
Let p(m) be the second derivative of 3*m**8/1120 + m**7/252 - 4*m**6/405 + m**5/135 + m**4/6 + 2*m. Let q(s) be the third derivative of p(s). Factor q(g).
2*(g + 1)*(9*g - 2)**2/9
Let c(i) be the first derivative of -2*i**3/15 - 3*i**2/5 - 5. Factor c(v).
-2*v*(v + 3)/5
Let g(x) be the first derivative of -x**6/60 + x**5/10 - 4*x**3/3 - x**2 + 2. Let i(q) be the second derivative of g(q). Factor i(u).
-2*(u - 2)**2*(u + 1)
Let n(y) be the second derivative of y**7/14 - y**6/5 + y**4/2 - y**3/2 - 3*y. Suppose n(u) = 0. Calculate u.
-1, 0, 1
Factor -6/7*r - 3/7*r**4 + 6/7*r**3 + 3/7 + 0*r**2.
-3*(r - 1)**3*(r + 1)/7
Suppose z + 2 - 4 = -3*s, 0 = 2*z + 8. Let q be (-2)/(-2) - (s - 3). Factor 2*m**5 + 0*m - 4*m**4 + m - 3*m + 4*m**q.
2*m*(m - 1)**3*(m + 1)
Let l(t) = -135*t**3 - 1160*t**2 - 3590*t - 3590. Let a(f) = -5*f**3 - 43*f**2 - 133*f - 133. Let r(j) = -55*a(j) + 2*l(j). Solve r(d) = 0 for d.
-3
Find b such that 1/2*b - 1/2*b**2 + 1/2 - 1/2*b**3 = 0.
-1, 1
Find a, give