t 1405 - 20*w**2 + 20*w + 105*w**5 + 110*w**4 - 215*w**3 - 1405 = 0.
-2, -1/3, 0, 2/7, 1
Let o(w) be the first derivative of -3*w**4/16 + 17*w**3/4 - 93*w**2/8 + 45*w/4 + 447. Factor o(h).
-3*(h - 15)*(h - 1)**2/4
Let n = 83 + -81. Suppose -5*j = -m + 3, 3*j + 6*m = 2*m + 12. Let -x**5 - 2*x**4 + 5*x**2 - 2*x**2 + x - x**2 + j*x**n = 0. Calculate x.
-1, 0, 1
Let w be 5/((-10)/(-12)) + -2. Factor -15*t**3 + 0*t**2 - 10*t**2 - 2*t**4 - 7*t**w + 4*t**4.
-5*t**2*(t + 1)*(t + 2)
Factor 20*f - 20*f**2 + 200 - 3*f**3 - 12*f**2 + 8*f**3 - f**3.
4*(f - 5)**2*(f + 2)
Let d(s) = -s**2 + 8*s - 5. Let m be d(7). Suppose 2*g**4 + 0*g**2 - 2*g**m + 6*g**5 - 6*g**3 + 0*g**4 = 0. What is g?
-1, -1/3, 0, 1
Let h(g) be the first derivative of 1/12*g**3 + 1/16*g**4 + 0*g**2 - 1/20*g**5 + 27 - 1/24*g**6 + 0*g. Solve h(x) = 0.
-1, 0, 1
Let s(d) be the first derivative of -14*d**5/75 - 79*d**4/30 - 44*d**3/45 - 192. Suppose s(v) = 0. What is v?
-11, -2/7, 0
Let m be 0 - (-1)/10*(-15)/(-108). Let s(g) be the second derivative of 0 + 4*g + m*g**4 + 0*g**2 + 1/36*g**3. Factor s(l).
l*(l + 1)/6
Let k be 6 - (-3)/(5 + -6). Let n(z) = -z**2 - 7*z - 2. Let t be n(-5). Factor t*m**4 - 28*m**k + 9*m**2 - 8*m**3 + 0*m**4 + 6*m + 13*m**4.
3*m*(m - 1)**2*(7*m + 2)
Let k = 26465/16 + -1654. Let a(n) be the first derivative of 3/8*n**2 + 1/2*n - k*n**4 + 0*n**3 + 9. Find v such that a(v) = 0.
-1, 2
Let z = 26 - 24. Find k such that 1 - 12 - 4*k**z + 20*k - 1 - 4*k**3 = 0.
-3, 1
Suppose 0 = 2*k + 4, -5*k + 9 = 5*f - 1. Find q, given that 12*q**2 + 6*q**4 - 18*q**3 - 2*q + q**f + q**4 = 0.
0, 1/4, 1
Let v(j) = 303*j**4 + 1905*j**3 + 3681*j**2 + 2913*j + 768. Let q(t) = 19*t**4 + 119*t**3 + 230*t**2 + 182*t + 48. Let y(z) = 33*q(z) - 2*v(z). Factor y(w).
3*(w + 1)*(w + 2)**2*(7*w + 4)
What is v in -32*v**2 + 1673*v**3 - 1693*v**3 + 10*v + 6*v = 0?
-2, 0, 2/5
Let m(c) = c**3 + 5*c**2 + 2*c + 12. Let a be m(-5). Factor -2*h**4 - 3*h**3 - 2*h**a + 4*h**2 - 3*h**4.
-h**2*(h + 1)*(5*h - 2)
What is u in 4 + 1/3*u**2 + 8/3*u = 0?
-6, -2
Let k be 14/315*(-60)/(-10). Let 16/15*y**2 + k*y**3 - 2/15 - 14/15*y**4 - 8/15*y**5 + 4/15*y = 0. Calculate y.
-1, 1/4, 1
Factor 36*q**4 + 54000 + 26297*q + 178*q**3 - 5220*q**2 - 38*q**4 + 22303*q.
-2*(q - 30)**3*(q + 1)
Find v, given that 0 + 0*v - 2/19*v**3 + 4/19*v**2 = 0.
0, 2
Let k(f) be the first derivative of f**8/336 - f**6/9 + 10*f**4/3 - 20*f**3/3 + 21. Let r(h) be the third derivative of k(h). Suppose r(g) = 0. Calculate g.
-2, 2
Factor -101*p**4 - 115*p**3 + 5*p**5 + 28*p**2 - 88*p**2 + 51*p**4.
5*p**2*(p - 12)*(p + 1)**2
Let s(k) be the second derivative of 7*k + 1/90*k**5 + 2/9*k**3 + k**2 + 0 - 1/12*k**4. Let c(i) be the first derivative of s(i). Factor c(u).
2*(u - 2)*(u - 1)/3
Solve -180 - 33477*h + 33531*h + 0*h**2 + 2*h**2 = 0 for h.
-30, 3
Let z be ((-78)/(-15))/(2/20). Suppose -d = 5*f - 0*f - 35, 4*d = 4*f - z. Factor -38*l**3 + 8*l**2 + 42*l**3 - 3*l - l - f.
4*(l - 1)*(l + 1)*(l + 2)
Let d(t) be the third derivative of t**5/20 - 27*t**4/4 + 729*t**3/2 - 24*t**2 - t. Factor d(b).
3*(b - 27)**2
Let v(s) = s**3 + 3*s**2 - s + 2. Let h = 0 + -3. Let y be v(h). Determine k so that 0*k - 2*k**3 - 2*k + 15*k**2 - k**3 + 9*k**y - 15*k**4 - 4*k = 0.
-1, 0, 2/3, 1
Let d(u) be the second derivative of 0*u**2 - 58*u - 1/10*u**6 + 1/4*u**4 + 0 + 0*u**5 + 0*u**3. Factor d(w).
-3*w**2*(w - 1)*(w + 1)
Let k be (-465)/(-240) - ((-66)/32 - -2). Determine b so that 2/5*b**4 + 0*b**k - 2/5*b**5 + 0*b**3 + 0*b + 0 = 0.
0, 1
Let n(k) be the third derivative of -k**8/5376 + k**7/5040 + k**6/576 - k**5/240 + 2*k**4/3 + 8*k**2. Let g(m) be the second derivative of n(m). Factor g(b).
-(b - 1)*(b + 1)*(5*b - 2)/4
Suppose -3*x = f + f - 22, -x + 2 = -2*f. Factor 2*y**2 + 4*y + 0 + 0*y**2 + 0 - x.
2*(y - 1)*(y + 3)
Determine x, given that 44*x**4 - 3*x**2 + 3*x - 19*x**4 - 3*x**3 + 0*x**3 - 22*x**4 = 0.
-1, 0, 1
Let v(s) = -3*s**5 - 3*s**4 - 3*s**3 - 3*s**2 - 6. Let g(a) = a**3 + a**2 + 1. Let x(b) = -6*g(b) - v(b). Factor x(z).
3*z**2*(z - 1)*(z + 1)**2
Let p(l) = 14*l - 23. Let m be p(2). Let k(n) be the first derivative of -3/2*n**2 - 4*n**3 + 5 + 12/5*n**m + 3/2*n**6 + 0*n - 3/2*n**4. Solve k(r) = 0.
-1, -1/3, 0, 1
Let b(h) be the third derivative of h**6/240 - 7*h**5/40 - h**4/2 + 11*h**3/3 - 2*h**2 + 130. Find a, given that b(a) = 0.
-2, 1, 22
Suppose 0 = 3*j - 8*j + 10*j. Let n(z) be the third derivative of 0*z**3 + 0 + j*z - 1/200*z**6 + 0*z**4 - 12*z**2 - 1/100*z**5. Factor n(k).
-3*k**2*(k + 1)/5
Suppose 4*y - 32*y - 36*y = -7*y. Find m such that 0*m**3 + y + 0*m - 2/5*m**4 + 0*m**2 - 2/5*m**5 = 0.
-1, 0
Suppose 8 = -6*g + 92. Suppose 2*z - 5 - 3 = 0, -2*w + 14 = z. Factor -8*q**3 - g*q**2 + 4*q**4 + w*q**2 + 9*q**2.
4*q**3*(q - 2)
Let m(o) be the first derivative of -2*o**5/45 + 7*o**4/18 - 4*o**3/3 + 20*o**2/9 - 16*o/9 + 116. Factor m(f).
-2*(f - 2)**3*(f - 1)/9
Let h(b) be the second derivative of 3*b**5/20 + b**4/2 + b**3/2 + 51*b. Factor h(l).
3*l*(l + 1)**2
Let 3*r**4 - 1/4*r**5 - 9/2*r**3 - 35*r**2 + 147/4*r + 0 = 0. Calculate r.
-3, 0, 1, 7
Suppose 5*p - 9 = -c + 1, 4*c - 21 = -p. Factor 0*w - 8*w - 3*w**2 - c*w**2 + 4*w**5 + 12*w**4 - 4*w**2 + 4*w**3.
4*w*(w - 1)*(w + 1)**2*(w + 2)
Suppose -5*k = -3*h + 2, -17 = -5*h + k + 1. Find t, given that t**3 - 2*t + t**2 + 4*t**2 - h*t**2 = 0.
-2, 0, 1
Factor 3 + 23/2*j + 17*j**2 + 12*j**3 + 4*j**4 + 1/2*j**5.
(j + 1)**3*(j + 2)*(j + 3)/2
Let s(t) be the first derivative of -2*t**5/15 + t**4/3 + 8*t**3/9 - 8*t**2/3 - 566. What is g in s(g) = 0?
-2, 0, 2
Let y = -31 + 34. Suppose 2*w - 20 = -y*a, 2 = -2*a - 3*w + 7. Factor 4*c**3 - 7*c**2 - 4*c**4 - 6*c**3 + a*c**3 + 3*c**2.
-4*c**2*(c - 1)**2
Let p(c) be the second derivative of -c**5/10 + 5*c**4/6 - 7*c**3/3 + 3*c**2 + 74*c. Factor p(a).
-2*(a - 3)*(a - 1)**2
Let k(p) be the third derivative of 0*p**3 + 0 + 1/96*p**4 - 11*p**2 - 1/240*p**5 + 0*p. Factor k(j).
-j*(j - 1)/4
Let i be ((-633)/(-844))/(1 + 10/(-16)). Solve -1/5*x**i + 4/5 + 3/5*x = 0 for x.
-1, 4
Let k(y) be the third derivative of 1/18*y**3 + 1/30*y**5 + 0*y + 0 + 1/630*y**7 + 1/90*y**6 + 1/18*y**4 - 15*y**2. Factor k(q).
(q + 1)**4/3
Let c = -8167/3 - -2725. Find g, given that -8/3*g + 2*g**3 + 2/3*g**5 + c*g**4 + 0 - 8/3*g**2 = 0.
-2, -1, 0, 1
Find d such that d**4 + 0*d + 1/3*d**5 + d**3 + 0 + 1/3*d**2 = 0.
-1, 0
Let u(v) be the second derivative of -v**7/504 - v**6/144 + v**5/4 - 2*v**4/3 + 22*v. Let p(h) be the third derivative of u(h). Determine x so that p(x) = 0.
-3, 2
Let d = 0 + 5. Suppose -d*u + 51 = 1. Factor -6*x**3 + 4*x - 3 - 7*x**2 + u*x**2 + 2*x.
-3*(x - 1)*(x + 1)*(2*x - 1)
Factor 0 - 11/2*k + 1/2*k**2.
k*(k - 11)/2
Suppose i = -4*i + 30. Suppose 5 = 3*k - 2*o, -5*k = 4*o - 29 + i. Suppose 1/2*r**2 - 1/2*r**4 - 1/2*r**5 + 1/2*r**k + 0*r + 0 = 0. Calculate r.
-1, 0, 1
Let c(y) be the third derivative of y**5/240 - y**4/32 - y**3/6 + 71*y**2. Let c(u) = 0. What is u?
-1, 4
Let w = -66 - -68. Let 12*a**4 - 22*a**4 - 4*a - 12*a**w - 12*a**3 + 6*a**4 = 0. Calculate a.
-1, 0
Let k(d) be the third derivative of -13*d**8/84 - 2*d**7/7 + 11*d**6/30 + d**5 + d**4/3 + 2*d**2 - 2. Suppose k(p) = 0. What is p?
-1, -2/13, 0, 1
Let i(b) = b**3 + 10 + 5*b - 10*b + b**2 + 4*b**2 + 0*b. Let x be i(-6). Solve -6*l**5 - l - 2*l + 21*l**3 + 3*l**4 + 6 - 17*l**2 - x*l**2 = 0 for l.
-2, -1/2, 1
Let h(r) = 7*r**2 + 2*r + 1. Let o be h(-1). Suppose -13 + 27 = 7*l. Factor -41*v**3 + 8*v**3 + 90*v**4 + o*v + 75*v**5 - 7*v + 13*v - 36*v**l.
3*v*(v + 1)**2*(5*v - 2)**2
Suppose -3*c = 0, -2*c + 12 = 4*h + 4. Let l(q) be the second derivative of 0*q**h + 0 - 2*q + 1/24*q**4 + 0*q**3 + 1/40*q**5. Suppose l(a) = 0. What is a?
-1, 0
Let a(f) be the second derivative of -1/48*f**4 + 0*f**2 + 0*f**3 + 2*f + 0. Factor a(u).
-u**2/4
Let n(c) be the second derivative of 7*c**5/135 - c**4/27 - 9*c**2/2 + 5*c. Let k(d) be the first derivative of n(d). Factor k(m).
4*m*(7*m - 2)/9
Let x(z) be the third derivative of 1/75*z**5 + 0 + 0*z + 7/180*z**4 - 34*z**2 + 1/45*z**3. Factor x(t).
2*(t + 1)*(6*t + 1)/15
Let f(g) = 10*g**2 - 11*g + 2*g**3 - 11 - 15 + 50 - 15. Let p be f(-6). Solve -3/2*z**p - 3*z**2 - 3/2*z + 0 = 0 for z.
-1, 0
Let v(a) be the third derivative of 1/168*a**7 + 5/96*a**4 + 0 + 1/24*a**3 +