u = a + 93. Factor -2/3*j**4 + 0*j + u - 2/3*j**2 - 4/3*j**3.
-2*j**2*(j + 1)**2/3
Let m(z) be the third derivative of 2*z**3 + 1/30*z**5 + 0 - 7/12*z**4 + 2*z**2 - 17*z. Factor m(l).
2*(l - 6)*(l - 1)
Let v be (-34)/(-85) - 35822/(-70). Let m = 513 - v. Find j, given that 0 - 6/7*j**4 + 4/7*j + m*j**2 - 58/7*j**3 + 54/7*j**5 = 0.
-1, -2/9, 0, 1/3, 1
Let r(w) be the third derivative of 5*w**8/336 + 2*w**7/21 + w**6/6 - 2*w**2 - 318. Let r(c) = 0. Calculate c.
-2, 0
Let m = 32 + -20. Let p(j) = j**2 - 36*j + 101. Let x be p(33). Solve c**2 - 2*c**2 + m*c + 56 + 3*c**x - 38 = 0.
-3
Let h(a) be the third derivative of a**6/360 + 11*a**5/30 + 121*a**4/6 + 5324*a**3/9 + 4*a**2 - 13. Let h(g) = 0. What is g?
-22
Suppose -16*a = -14*a - 8. Suppose a*w = -0*w. Solve 0 + 1/2*u**2 - 1/2*u**3 + w*u = 0 for u.
0, 1
Let -25/4*x**4 - 7/2*x**3 + 1/2*x**5 + 13/4*x**2 + 0 + 0*x = 0. What is x?
-1, 0, 1/2, 13
Let n(z) be the first derivative of z**7/70 + z**6/40 - z**5/10 + 11*z**2/2 - 3. Let s(h) be the second derivative of n(h). Factor s(g).
3*g**2*(g - 1)*(g + 2)
Find c such that 373/8*c**2 - 9/8*c**5 + 21/2 + 40*c + 89/8*c**3 - 57/8*c**4 = 0.
-7, -1, -2/3, 3
Determine y so that -4*y + 10/7*y**2 + 16/7*y**3 + 2/7*y**4 + 0 = 0.
-7, -2, 0, 1
Let y(a) = -55*a**2 + 110*a - 55. Let w(t) be the second derivative of -5*t**4/12 + 5*t**3/3 - 5*t**2/2 - 5*t. Let i(r) = 45*w(r) - 4*y(r). Factor i(o).
-5*(o - 1)**2
Determine n, given that -2*n**2 - 1/3*n**3 + 0 + 7/3*n = 0.
-7, 0, 1
Let d(c) be the third derivative of -c**5/150 - c**4/30 - c**3/15 + 70*c**2 - 3. Find r such that d(r) = 0.
-1
Find k, given that -12/5*k**4 + 27/5*k**2 - 57/5*k - 3 + 57/5*k**3 = 0.
-1, -1/4, 1, 5
Let o(q) be the first derivative of 0*q**3 + 0*q + 1/120*q**4 + 13/2*q**2 + 8 - 1/600*q**6 + 0*q**5. Let g(z) be the second derivative of o(z). Factor g(w).
-w*(w - 1)*(w + 1)/5
Let o(m) = 4*m**2 - 40*m + 5. Let p be o(10). Let q be ((-4)/3 + 0)*-3. Factor k**3 + k**p + 2*k**3 - q*k**3.
k**3*(k - 1)*(k + 1)
Let x(h) be the first derivative of 10*h**6/9 - 62*h**5/15 + 13*h**4/6 + 58*h**3/9 - 23*h**2/3 + 4*h/3 + 60. Determine a, given that x(a) = 0.
-1, 1/10, 1, 2
Let j(m) be the second derivative of -m**4 - 99*m**3/2 + 75*m**2/2 + 4*m + 2. Factor j(s).
-3*(s + 25)*(4*s - 1)
Suppose -30*d = 44*d - 222. Let l(k) be the third derivative of 1/180*k**5 - 12*k**2 + 0 - 1/18*k**4 + 0*k + 0*k**d. Factor l(x).
x*(x - 4)/3
Let k(h) be the third derivative of 8*h**2 + 0 + 1/90*h**5 + 7/6*h**3 + 1/12*h**4 + 0*h + 1/1620*h**6. Let l(x) be the first derivative of k(x). Factor l(a).
2*(a + 3)**2/9
Suppose -5*f + 80 = 265. Let p = f - -39. Let -p - 2/9*j**2 - 4/3*j = 0. Calculate j.
-3
Suppose 15*p = 18*p - 6. Let 6*j**4 + 2*j**3 - 3*j**4 + j**4 - 2*j**p = 0. What is j?
-1, 0, 1/2
Let g(i) be the first derivative of 5*i**4/4 + 34. Let g(a) = 0. What is a?
0
Suppose -3*f + 16 - 17 = h, -4*h - 2*f + 16 = 0. Determine i, given that -2/5*i**3 + 0 - 4/5*i**4 - 1/5*i**h + 3/5*i + 4/5*i**2 = 0.
-3, -1, 0, 1
Factor -49 - 72659*d**4 + 94*d**3 - 189*d**2 - d**2 + 161*d + 72642*d**4 + d**5.
(d - 7)**2*(d - 1)**3
Let t(u) = -20*u**4 - u**3 + 110*u**2 - 5*u - 6. Let b(m) = 60*m**4 + 2*m**3 - 315*m**2 + 15*m + 17. Let c(y) = 6*b(y) + 17*t(y). Solve c(s) = 0 for s.
-1, 0, 1/4, 1
Let x be 8 - (-3672)/(-1785)*(-30)/(-9). Determine s, given that 68/7*s**3 + 52/7*s + x + 16/7*s**4 + 96/7*s**2 = 0.
-2, -1, -1/4
Let g(c) be the third derivative of 5/18*c**4 + c**2 + 1/45*c**5 - 4/3*c**3 + 0 + 0*c. Find p such that g(p) = 0.
-6, 1
Factor -170*z**2 + 128*z**2 + 9 - 80*z - 6 + 5.
-2*(z + 2)*(21*z - 2)
Find g, given that 22/9*g + 7/9*g**2 - 1/3*g**3 - 8/9 = 0.
-2, 1/3, 4
Let f**4 + 439 + 116*f**3 + 5*f**4 - 2*f**4 - 12*f**2 - 340*f - 207 = 0. Calculate f.
-29, -2, 1
Let z(h) be the third derivative of 0*h**3 - 11/240*h**6 + 1/28*h**7 + 1/12*h**4 - 3*h**2 + 0 + 0*h - 1/15*h**5. Let z(u) = 0. Calculate u.
-2/3, 0, 2/5, 1
Factor -33*r - 2*r**2 + 18 + 18*r**2 + r**2 + r**2 - 3*r**3.
-3*(r - 3)*(r - 2)*(r - 1)
Suppose 8 = f + 5*u, 0 = -f - 2*u + 3 + 2. Let s = 48/523 + 3656/5753. Factor 2/11*h**4 + 0 + 0*h + s*h**2 + 8/11*h**f.
2*h**2*(h + 2)**2/11
Let c = 128 + -18. Let s = -108 + c. Factor -x + 1 + 1/4*x**s.
(x - 2)**2/4
Let y(m) = 13*m - 247. Let u be y(19). Let t(k) be the third derivative of 1/15*k**5 + 0 + u*k - 3*k**2 + 0*k**3 + 1/6*k**4. Find p such that t(p) = 0.
-1, 0
Let y(j) be the third derivative of 13*j**5/80 + 3*j**4/8 - j**3/8 + 31*j**2. Factor y(x).
3*(x + 1)*(13*x - 1)/4
Let r(w) be the second derivative of -w**7/126 - w**6/45 + 29*w**5/60 - 7*w**4/6 - 325*w. Suppose r(c) = 0. Calculate c.
-7, 0, 2, 3
Let o(i) be the first derivative of -i**3/3 - 49*i**2/2 + 102*i + 560. Determine u so that o(u) = 0.
-51, 2
Suppose 0 = -5*n + 5 + 10. Let q(l) = -3*l + 42. Let x be q(14). Solve x*v**3 + 5*v**3 - 9*v**4 - n*v**3 = 0.
0, 2/9
Let i(c) be the first derivative of -c**7/1050 - c**6/150 + c**5/300 + c**4/30 + 7*c**2 - 18. Let a(g) be the second derivative of i(g). What is t in a(t) = 0?
-4, -1, 0, 1
Let v(j) be the second derivative of -j**6/90 + 7*j**4/36 - j**3/3 - 504*j - 2. Determine q, given that v(q) = 0.
-3, 0, 1, 2
Let l(k) be the second derivative of -95*k**4/16 - k**3/8 + 5*k + 81. Factor l(v).
-3*v*(95*v + 1)/4
Factor -20/7*g**3 + 32/7*g**2 + 48/7*g + 0 - 4/7*g**4.
-4*g*(g - 2)*(g + 1)*(g + 6)/7
Let s = -30 + 32. Suppose -2*x = 4*c - 12, -s*c + 13 = -3*x - 1. Factor -1/7 - 1/7*q**c + 2/7*q**2 - 1/7*q**5 + 2/7*q**3 - 1/7*q.
-(q - 1)**2*(q + 1)**3/7
Let j be ((-8)/(-20))/(2/60). Let -22*g**2 - 38 + 34 + 14*g + j*g = 0. What is g?
2/11, 1
Let g(k) = -k**2 + 7*k + 4. Let a be g(4). Factor -16 - 31*x**3 - 32*x + 11*x**3 + a*x**3 - 20*x**2.
-4*(x + 1)*(x + 2)**2
Let l be 1*(14 + (0 - 0 - 5)). Let k be (-17)/l + 17/(119/14). Factor -2/3*q - 1 - k*q**2.
-(q + 3)**2/9
Factor 0 - 4/7*v - 6/7*v**2 - 2/7*v**3.
-2*v*(v + 1)*(v + 2)/7
Let j be (-2*(-1)/(-2))/(2/(-4)). Suppose -3*c - 2*c**4 + 2*c**2 - 2*c - j*c**3 + 7*c = 0. Calculate c.
-1, 0, 1
Let i(n) be the third derivative of n**6/120 - n**5/10 - 14*n**3/3 + 30*n**2. Let u(q) be the first derivative of i(q). Factor u(d).
3*d*(d - 4)
Let l(k) be the second derivative of 0*k**2 - 1/18*k**4 - 1/9*k**3 + 9*k + 0. Find n, given that l(n) = 0.
-1, 0
Factor 9/2*u**2 + 3/4*u**3 + 0 + 0*u.
3*u**2*(u + 6)/4
Let h(f) = 8*f**2 + 400*f - 19995. Let z(i) = -3*i**2 - 200*i + 9998. Let w(j) = -4*h(j) - 10*z(j). Factor w(c).
-2*(c - 100)**2
Find s such that -1/2*s + 1/2 + s**3 + 1/2*s**4 - s**2 - 1/2*s**5 = 0.
-1, 1
Let h be (-25)/10*(-32)/40. Let -2/7*r - 2/7*r**h + 4/7 = 0. What is r?
-2, 1
Factor -3404 - 93*u**3 + 3404 - 90*u**2 + 3*u.
-3*u*(u + 1)*(31*u - 1)
Let c = -20 + 24. Let f(m) = -m**3 + 25*m**4 + 5 - 24*m**4 - c. Let g(s) = s**4 + 7*s**3 - 16*s**2 + 8*s + 3. Let p(i) = 6*f(i) - 2*g(i). Factor p(x).
4*x*(x - 2)**2*(x - 1)
Let g be 27/2*(-4 - -6). Factor 4 + 12*v**2 + g*v**3 - 53*v**3 + 30*v**3 + 12*v.
4*(v + 1)**3
Let p be (-18)/(-24)*298 - (-9)/6. Let b be 6/(-12) + p/130. Solve b - 2/13*k**4 + 24/13*k - 6/13*k**3 + 4/13*k**2 = 0 for k.
-2, -1, 2
Factor 1/3*w**2 - 1/6 - 1/6*w.
(w - 1)*(2*w + 1)/6
Let u(i) be the second derivative of -i**5/80 - i**4/6 - 19*i**3/24 - 3*i**2/2 - 3*i - 30. Factor u(v).
-(v + 1)*(v + 3)*(v + 4)/4
Factor -1/3*q**2 + 2/3 - 1/3*q.
-(q - 1)*(q + 2)/3
Let u be (-14)/(-2) - 7*(-6)/(-21). Let x be (5/(-14))/u*-4. Determine a, given that 0 + x*a**2 + 2/7*a = 0.
-1, 0
Suppose 16 - 50*m**3 + 46*m**3 + 20*m**2 - 16 - 16*m = 0. What is m?
0, 1, 4
Suppose 3*o - 63 + 33 = 0. Let v be (-4)/o - 5/(75/(-36)). Find g, given that -1/2*g**5 + g**3 - g**4 + 4*g**v + 1 + 7/2*g = 0.
-1, 2
Let w = 26536/5 + -5304. Let 4/5*k**5 - w*k**3 + 4/5*k**4 - 16/5*k**2 + 0 + 0*k = 0. Calculate k.
-2, -1, 0, 2
Let p(j) = -5*j**2 + 65*j. Let a(q) = -15*q**2 + 195*q. Let i(x) = 6*a(x) - 17*p(x). Suppose i(l) = 0. What is l?
0, 13
Let q(v) be the second derivative of -v**5/70 + v**4/14 - 4*v**2/7 + 78*v. Suppose q(b) = 0. Calculate b.
-1, 2
Let q(u) be the second derivative of u**7/189 - 2*u**5/45 - u + 17. Suppose q(r) = 0. Calculate r.
-2, 0, 2
Let g be -3*2*(5 + 46/(-9)). Let o = 46 + -44. Factor g*h + 0 + 2/3*h**o.
2*h*(h + 1)/3
Let w(a) be the first derivative of -a**4/3 - 4*a**3 + 2*a