 Let j = x + 6. Solve 2*v**j + v**3 - 3*v**2 + 0*v**2 = 0 for v.
0, 1
Suppose 11*y - 48 = -4. Let s(x) be the third derivative of -1/480*x**6 + 0 + 0*x**3 + 0*x**5 - 3*x**2 + 0*x + 1/96*x**y. Factor s(t).
-t*(t - 1)*(t + 1)/4
Let g(v) be the second derivative of 5*v**7/42 - 5*v**6/6 - 9*v**5/4 + 135*v**4/4 - 90*v**3 + 15*v. Determine r so that g(r) = 0.
-4, 0, 3
Determine v, given that 23/5*v - 78/5 + 1/5*v**2 = 0.
-26, 3
Let g(r) = r**4 - r - 1. Let p(n) = 2*n**4 - 2*n**3 + 6*n**2 + 6*n. Let b be (-1)/(-5) - 168/40. Let f(v) = b*g(v) + p(v). Determine u, given that f(u) = 0.
-1, 2
Factor -17/8*z**3 - 13/4 - 67/8*z - 1/8*z**4 - 57/8*z**2.
-(z + 1)**2*(z + 2)*(z + 13)/8
Let r be (-14)/(-12)*42/147. Let p(n) be the second derivative of 0*n**3 + 0*n**2 - n - r*n**4 + 0. Solve p(b) = 0 for b.
0
Suppose -11*g - 24 = -17*g. Let b be (10/(-7) + 2)/(g/14). Factor 1/2 + b*u**2 + 13/4*u - 12*u**3.
-(3*u - 2)*(4*u + 1)**2/4
Solve -27*b**3 + 24*b**4 - 10 + 51*b + 6*b**2 - 20 - 12*b**3 - 9*b**3 - 3*b**5 = 0.
-1, 1, 2, 5
Let h = -5593/2 + 2797. Factor 1/2*g**4 + h*g**2 - g**3 + 0 + 0*g.
g**2*(g - 1)**2/2
Let z = 66 - 62. Suppose -20 = -z*d + 5*i, -16 = 3*i + i. Find r such that d + 1/8*r**3 + 0*r**2 - 1/8*r = 0.
-1, 0, 1
Let j(l) = l**3 + l - 1. Let d(i) be the first derivative of i**3 + 3*i**2 - 6*i - 7. Let h(t) = d(t) - 3*j(t). Factor h(p).
-3*(p - 1)**2*(p + 1)
Suppose 0*l - 3*l = -3*b - 6, 2 = -3*b + 2*l. Let w be (7 - 1)*10/30. Factor 0*c - 4/3*c**b - 2/3*c**4 + w*c**3 + 0.
-2*c**2*(c - 2)*(c - 1)/3
What is s in 0*s - 2/9*s**3 + 2/9*s**5 + 0 - 2/9*s**2 + 2/9*s**4 = 0?
-1, 0, 1
Suppose 16/7*b**4 + 8*b - 6/7*b**3 - 2/7*b**5 + 0 - 64/7*b**2 = 0. Calculate b.
-2, 0, 1, 2, 7
Let p(m) be the third derivative of -9*m**6/80 - 321*m**5/40 - 211*m**4/16 - 35*m**3/4 - 3*m**2 + 31. Suppose p(g) = 0. What is g?
-35, -1/3
Factor 1913 + 25*g - g**2 - 141*g + 2*g**2 + 985 + 466.
(g - 58)**2
Solve -12*t + 12*t**3 - 14*t**2 - 16*t**4 + 26*t**2 - t**2 + 5*t**2 = 0 for t.
-1, 0, 3/4, 1
Determine z, given that -927 - 110*z**3 - 1980*z - 5*z**4 - 68 - 100 - 525 - 785*z**2 = 0.
-9, -2
Let q(a) be the second derivative of a**5/90 + a**4/18 + a**3/9 + a**2/9 - 4*a + 8. Solve q(s) = 0.
-1
Factor -27*v - 19 + 3*v**2 - 104 + 57.
3*(v - 11)*(v + 2)
Let p(h) be the third derivative of -h**8/30240 - h**7/3780 + h**6/135 - 23*h**5/60 + h**2. Let j(t) be the third derivative of p(t). Factor j(w).
-2*(w - 2)*(w + 4)/3
Let q = -68 + 129. Determine x, given that q*x**5 - 59*x**5 - 6*x**4 + 6*x**2 + 6*x**3 - 4*x - 4*x**3 = 0.
-1, 0, 1, 2
Find n, given that 4 - 4*n**2 + 4*n + 2*n + 536*n**3 - 537*n**3 - 5*n = 0.
-4, -1, 1
Let j(h) = -h**3 - 4*h**2 - 2*h - 6. Let r be j(-4). Factor -4*k**4 - 2*k**2 + k + 3*k + 8*k**r + 2*k**4.
-2*k*(k - 2)*(k + 1)**2
Let u be (-2)/(3*5/(-30)). Factor -2*r**2 + 6*r**2 - 4*r**4 + u*r**5 - 4*r**3 + 0*r**3.
4*r**2*(r - 1)**2*(r + 1)
Let t(i) be the second derivative of -i**6/12 + 25*i**5/4 - 130*i**4 - 125*i**3/6 + 3125*i**2/4 + 17*i + 7. Solve t(s) = 0 for s.
-1, 1, 25
Let u(h) = h**2 - 46*h + 495. Let c be u(17). Solve -2/5*x**c - 10 + 4*x = 0 for x.
5
Let w(p) be the third derivative of p**8/30240 + p**7/7560 + p**5/12 - 24*p**2. Let o(v) be the third derivative of w(v). Determine x, given that o(x) = 0.
-1, 0
Suppose 21 - 9 = 4*j. Let u(w) be the third derivative of 1/12*w**4 + 0 + 2/105*w**7 + 0*w**6 + 0*w**j + 0*w + 5*w**2 - 1/15*w**5 - 1/168*w**8. Solve u(m) = 0.
-1, 0, 1
Let l(a) be the second derivative of -a**5/20 - 3*a**4/4 - 3*a**3/2 - 4*a**2 + 2*a. Let c be l(-8). Find n such that 5*n + 4*n**2 - 11*n + c*n**2 - 2*n**2 = 0.
0, 3
Let n(k) be the third derivative of 0*k + 0 + 1/30*k**5 + 14*k**2 - 2/3*k**3 - 1/12*k**4. Suppose n(v) = 0. Calculate v.
-1, 2
Let m(y) = -y**2 + 4*y - 2. Let j be m(2). Find c, given that 1384 - 1384 + 10*c + 5*c**j = 0.
-2, 0
Suppose -5*n = 2*n - 63. Determine z, given that 9*z**2 + z + n*z - 14*z**2 + 10*z = 0.
0, 4
Factor 129*f**4 - 6*f**2 - 130*f**4 + 25*f**2 + 2*f**3 + 16*f**3.
-f**2*(f - 19)*(f + 1)
Let y(h) be the first derivative of -5/6*h**3 - 11 + 9/2*h - 3/4*h**2 - 1/8*h**4. Factor y(f).
-(f - 1)*(f + 3)**2/2
Let w(p) be the third derivative of p**7/23940 - p**6/6840 - p**5/570 + 7*p**4/12 + 24*p**2. Let f(y) be the second derivative of w(y). Factor f(j).
2*(j - 2)*(j + 1)/19
Let z(g) be the third derivative of -g**2 - 36*g + 0*g**4 + 0 + 0*g**3 + 0*g**5 + 1/525*g**7 - 7/300*g**6. Determine s, given that z(s) = 0.
0, 7
Let u(c) be the first derivative of -c**4/24 + 2*c**3/9 + c**2 + 51. Let u(x) = 0. What is x?
-2, 0, 6
Let o = 23 - 14. Let s be ((-36)/20)/(o/(-30)). Solve 14 + 62*h - 50*h - s + 0*h**2 + 4*h**2 = 0 for h.
-2, -1
Let x(f) be the third derivative of -f**8/336 - f**7/30 - f**6/8 - 13*f**5/60 - f**4/6 + 19*f**2. Suppose x(c) = 0. What is c?
-4, -1, 0
Factor 64/3 - 24*q + 8*q**2 - 2/3*q**3.
-2*(q - 8)*(q - 2)**2/3
Factor 3/4*t**2 + 1/2*t - 1 - 1/8*t**3 - 1/8*t**4.
-(t - 2)*(t - 1)*(t + 2)**2/8
Suppose -2 = 6*m - 26. Suppose -m*f = -2*b - 6, 5*f + b = 6*b. Determine h so that 10*h**2 - 7 - 5*h**f + 7 = 0.
0, 2
Suppose 0*y + 45 = 5*y. Factor -38*q**2 - 11*q**3 - y*q**3 - q**4 - 108*q - 54 - q**4 - 34*q**2.
-2*(q + 1)*(q + 3)**3
Factor 1027 + 18983 + 504*o + 11742 + 42*o**2 - 40*o**2.
2*(o + 126)**2
Let q(t) = 84*t + 84. Let p be q(-1). Factor -3/2*m**3 + 0*m + p - 3/4*m**2 - 3/4*m**4.
-3*m**2*(m + 1)**2/4
Suppose -3*m + 0*i = -4*i - 44, 0 = 5*i + 25. Let w be 11/15 - (56/21)/m. Find j such that -4/5 + 2/5*j**2 + 6/5*j**3 + w*j**4 - 6/5*j = 0.
-2, -1, 1
Let a be (-4)/(-22) - (17960/88)/(-5). Factor 26*r**2 + 27*r**3 + 32*r**3 - 4*r + a*r**3 - 70*r**3.
2*r*(r + 1)*(15*r - 2)
Let y(f) = -2 - 8 - 6 + 1 - 3*f. Let t be y(-6). Factor -4 - 12*l**3 + 6 + 4*l + 8*l**t - 2*l**4.
-2*(l - 1)*(l + 1)**3
Let v(n) = -2*n**2. Let z be (2 + -2)*(-6)/(-12). Let y be v(z). Factor -162/5*l**5 - 432/5*l**3 + y - 32/5*l - 432/5*l**4 - 192/5*l**2.
-2*l*(3*l + 2)**4/5
Let f(v) be the first derivative of 3*v**5/10 - 3*v**4/2 - 15*v**3 + 75*v**2 + 375*v/2 - 216. Find o such that f(o) = 0.
-5, -1, 5
Factor -1/3*u**2 + 70/3*u - 1225/3.
-(u - 35)**2/3
Let h be ((-2)/(-30)*-1)/(-5 - -2). Let m(j) be the second derivative of 0*j**2 + 0 - h*j**3 + 8*j + 1/90*j**4. Find t, given that m(t) = 0.
0, 1
Let u be (-10 + 7)/(-3)*(-16)/(-56). Let i(n) be the first derivative of -1/21*n**6 - 8 - 5/7*n**2 - 5/7*n**4 + u*n**5 + 2/7*n + 20/21*n**3. Factor i(a).
-2*(a - 1)**5/7
Let b = 53 + -51. Factor b*q**2 - 50 - q**2 - 165*q + 34*q**2.
5*(q - 5)*(7*q + 2)
Let g(i) be the second derivative of -1/10*i**5 - 4/15*i**4 + 0*i**2 + 0 + 4/15*i**3 - 5*i. Factor g(f).
-2*f*(f + 2)*(5*f - 2)/5
Let h be ((2/(-2))/((-7)/14))/(-1). Let q(y) = y + 2. Let k be q(h). Factor 0*a**2 + 0 - 6/17*a**5 - 2/17*a**3 + 8/17*a**4 + k*a.
-2*a**3*(a - 1)*(3*a - 1)/17
Let m be (-2 + (-60)/(-35))/(0 - 30/140). Suppose 1/3*l - 4/3*l**2 + m*l**3 + 0 = 0. Calculate l.
0, 1/2
Let g = 24/29 + 16/261. Find f, given that 0*f + g*f**4 + 0*f**2 - 2/9*f**3 + 0 = 0.
0, 1/4
Let f be (-2)/(-4)*(8 + -8). Determine j, given that -2/7*j**4 + f - 2/7*j**2 + 0*j + 4/7*j**3 = 0.
0, 1
Factor 0*p + 0 + 2/7*p**4 - 6/7*p**3 + 4/7*p**2.
2*p**2*(p - 2)*(p - 1)/7
Let h = 55 - 52. Factor 3 + 3*m**2 + 3*m**h + 3 + m**2 + 11*m - 4*m**3.
-(m - 6)*(m + 1)**2
Let y(w) = 22*w**3 - 12*w**2 - 3*w + 7. Let h = -1 - 6. Let m(p) = p - 9*p**2 - 5*p**2 - 7*p**3 + 18*p**2 - 2. Let d(c) = h*m(c) - 2*y(c). Factor d(l).
l*(l - 1)*(5*l + 1)
Let q be (30/(-21))/(1/(-7)). Let a(u) = -u + 12. Let i be a(q). Determine h, given that -6/5*h + 3*h**i - 12/5*h**3 + 0 + 3/5*h**4 = 0.
0, 1, 2
Let y(r) be the first derivative of r**6/30 + 2*r**5/25 - 2*r**3/15 - r**2/10 + 60. Factor y(w).
w*(w - 1)*(w + 1)**3/5
Let r(h) be the third derivative of h**6/60 - 7*h**4/12 + 2*h**3 - 21*h**2 - 3. Determine j, given that r(j) = 0.
-3, 1, 2
Suppose 0*s - s = -2. Factor 2*t**s - 6*t**3 + 5*t**2 + 3*t**4 - 4*t**2.
3*t**2*(t - 1)**2
Let a(o) be the second derivative of o**5/30 + 4*o**4/9 - 37*o**3/9 - 44*o**2/3 - 378*o. Factor a(g).
2*(g - 4)*(g + 1)*(g + 11)/3
Let q = 30 + -8. Let l be 4/(-6) - (-78)/9. Determine t so that -l - 2*t**2 + q*t - t**2 - t**2 - 34*t = 0.
-2, -1
Let c(t) = 24*t**3 - 86*t**2 + 94*t + 626. Let o(s) = 5*s**3 -