*l + 9/4*g**3 + 1/4*g**5 + 0 + 1/2*g - 5/4*g**4.
g*(g - 2)*(g - 1)**3/4
Let j(q) = 17*q**3 - 21*q**2 - 58*q - 72. Let y(d) = 4*d**3 - 5*d**2 - 15*d - 18. Let o(s) = 6*j(s) - 26*y(s). Factor o(m).
-2*(m - 6)*(m + 1)*(m + 3)
Let k = 83 - 75. Find s, given that -10*s + 2*s**5 - 2*s**4 + k*s - 4*s**5 + 4*s**3 + 4*s**2 - 2 = 0.
-1, 1
Let h be (-40)/(-10) + (-2 - -2). Factor -5*v**2 - 6*v**4 + 3*v**4 + h*v**4 + 4*v**4 + 5*v**5 - 5*v**3.
5*v**2*(v - 1)*(v + 1)**2
Let b(n) be the first derivative of -n**5/12 - 5*n**4/6 - 10*n**3/3 - 5*n**2/2 + 12. Let v(f) be the second derivative of b(f). Let v(q) = 0. What is q?
-2
Factor 8*q + 22*q**3 - 399*q**2 + 170*q**2 + 181*q**2.
2*q*(q - 2)*(11*q - 2)
Let x(v) be the second derivative of v**5/160 - 19*v**4/48 + 107*v**3/48 - 35*v**2/8 - 663*v. Let x(g) = 0. Calculate g.
1, 2, 35
Factor 48/7*y**2 - 4/7*y**3 + 8 + 108/7*y.
-4*(y - 14)*(y + 1)**2/7
Let p = 41 - 32. Suppose -4*m + 5*r + p = -35, r = 3*m - 33. Solve -24*s + s**5 - 15*s**4 + 10 + m*s**3 + 2 + 10*s**3 + 2*s**5 + 3*s**2 = 0 for s.
-1, 1, 2
Let u(l) be the third derivative of -l**8/84 + 26*l**7/105 - 28*l**6/15 + 16*l**5/3 + l**2 + 28*l. Solve u(x) = 0.
0, 4, 5
Let j(x) be the first derivative of 5*x**4 + 15*x**3 - 25*x**2 - 15*x - 74. Factor j(i).
5*(i - 1)*(i + 3)*(4*i + 1)
Let m = -111 + 113. Factor -15*n + 78*n**3 + 133 - 24*n**m - 43*n**3 + 17 - 38*n**3.
-3*(n - 2)*(n + 5)**2
Let l(w) be the third derivative of w**7/840 + w**6/48 + w**5/10 + 5*w**4/24 + 2*w**2. Let o(q) be the second derivative of l(q). Let o(v) = 0. Calculate v.
-4, -1
Let f be 2*-1 + (18 - 13). Suppose 3*j**3 + f*j**4 + 5*j**2 + 11*j**3 - 8 + 343*j - 357*j = 0. Calculate j.
-4, -1, -2/3, 1
Let k be (-4)/840*-4*10/40. Let c(t) be the third derivative of 0*t**3 + 1/120*t**6 - 1/24*t**4 + k*t**7 - 2*t**2 - 1/60*t**5 + 0 + 0*t. Solve c(p) = 0.
-1, 0, 1
Suppose 4*f = -g + 3*f + 7, -5*g + 4*f = 1. Factor 3*v**4 + 2*v**2 + v**5 - 2*v**3 - 5*v**4 + v**g.
v**2*(v - 2)*(v - 1)*(v + 1)
Let x be (75/(-2))/((-8)/16). Let t = x - -33. Factor 54*o**3 - 16 + 47*o - 23*o + 48*o - t*o**2.
2*(3*o - 2)**3
Let x(z) be the third derivative of -z**8/84 + 8*z**7/105 + 11*z**6/30 + 2*z**5/5 - 96*z**2. Factor x(s).
-4*s**2*(s - 6)*(s + 1)**2
Let h(a) be the first derivative of -1/8*a**6 + 0*a - 3/8*a**2 + 0*a**3 + 3/8*a**4 + 0*a**5 + 16. What is p in h(p) = 0?
-1, 0, 1
Factor -v**3 - 48*v**2 + 106*v**2 + 16*v - 61*v**2 - 12.
-(v - 2)*(v - 1)*(v + 6)
Factor 18*g - 12 - 20/3*g**2 + 2/3*g**3.
2*(g - 6)*(g - 3)*(g - 1)/3
Let a(u) = -2*u**3 - 10*u**2 + 2*u + 12. Suppose -3*t + 2 + 26 = -5*b, -3*t + 8 = -b. Let r be a(b). Factor -2*m - r*m**2 - 2/3*m**3 - 2/3.
-2*(m + 1)**3/3
Suppose -5*o = -5*l + 15, 0*l - 2*l - 9 = 3*o. Suppose l = 4*q - 7*q + 12. Factor -2*g**2 - 2*g**2 + q*g + 0*g.
-4*g*(g - 1)
Factor -69/2*y - 3/2*y**2 - 90.
-3*(y + 3)*(y + 20)/2
Let t(l) be the second derivative of -l**7/1260 + l**6/144 - l**5/60 + 5*l**4/4 + 16*l. Let u(h) be the third derivative of t(h). Factor u(m).
-(m - 2)*(2*m - 1)
Let r(d) be the first derivative of 5*d**4/12 - 5*d**3/3 - 55*d**2/3 + 40*d - 190. Factor r(p).
5*(p - 6)*(p - 1)*(p + 4)/3
Let o(r) be the second derivative of 5*r**7/42 - r**6/3 - r**5/2 + 5*r**4/3 + 5*r**3/6 - 5*r**2 + 68*r. Let o(i) = 0. What is i?
-1, 1, 2
Let 24/7*m + 2/7*m**2 - 8 = 0. Calculate m.
-14, 2
Let j be 2/4*(7 + (-10 - -7)). Find a such that -4*a**2 - 48 + 0*a**j + 4*a - 37 + 109 = 0.
-2, 3
Let d(j) be the second derivative of j**4/12 + j**3/9 - 8*j**2/3 + 16*j. Factor d(a).
(a - 2)*(3*a + 8)/3
Let j(c) be the first derivative of -c**9/1512 + c**7/420 + 2*c**3/3 - 7*c + 27. Let h(d) be the third derivative of j(d). Factor h(i).
-2*i**3*(i - 1)*(i + 1)
Solve 232*d**2 + 1171*d + 436*d**3 - 433*d + 278*d**2 + 2*d**4 - 342*d**3 = 0 for d.
-41, -3, 0
Factor -4 - 7*r**2 - 14*r + 15/2*r**3.
(r - 2)*(3*r + 2)*(5*r + 2)/2
Factor k**2 + 4 - 52*k - 57*k + 105*k.
(k - 2)**2
Let d(m) be the third derivative of 11*m + 0*m**6 - 1/21*m**3 - 1/735*m**7 + 0*m**4 + 3*m**2 + 1/105*m**5 + 0. Let d(r) = 0. What is r?
-1, 1
Determine b so that -23079*b**3 - 2*b**5 + 1214 - 7358 - 71238*b**2 - 25*b**5 - 39552*b + 1656*b**4 = 0.
-2, -1/3, 32
Let y(r) be the first derivative of -1/24*r**4 - 1/6*r - 1/4*r**2 + 2 - 1/6*r**3. Find j, given that y(j) = 0.
-1
Let q(g) = -g**3 + g. Let m be q(1). Let y be 2*(-1 - (-5)/10) + (6 - 2). Factor m*p**2 + 2/9*p + 0 - 2/9*p**y.
-2*p*(p - 1)*(p + 1)/9
Let x(m) be the third derivative of m**8/5040 + m**7/126 + 5*m**6/36 + 13*m**5/60 + 7*m**2. Let s(g) be the third derivative of x(g). Find r such that s(r) = 0.
-5
Suppose 48 + 10 = 2*o - 2*a, 2*o - 59 = a. Let j be 115/o + -4 + (-34)/(-60). Factor -2/5*i**2 + j*i + 0.
-2*i*(i - 1)/5
Suppose a + 41 = 3*u - u, 24 = u - 4*a. Let g be (6/20)/(24/u). Suppose 0 + s**4 + 3/2*s**3 + s**2 + g*s**5 + 1/4*s = 0. What is s?
-1, 0
Let a(v) = 2*v - 2. Let k be a(2). Factor -12*n + 5 + n**k - 2*n**2 + 13 + 3*n**2.
2*(n - 3)**2
Let f(x) = -x**3 + 8*x**2 + 2*x - 80. Let j be f(5). Let p = -3 - -3. Determine k so that p*k**2 - 3/5*k**j - 8/5*k**4 + 0*k - 4/5*k**3 + 0 = 0.
-2, -2/3, 0
Let x(u) = u**2 - u. Let w(n) = -10*n**3 + 16*n**2 + 5*n. Let t(l) = -4*w(l) - 12*x(l). Suppose t(h) = 0. What is h?
-1/10, 0, 2
Factor -153*j - 7803/2 - 3/2*j**2.
-3*(j + 51)**2/2
What is w in -3*w**4 - 128*w**2 - 7*w**2 - 36*w**3 - 49*w - 101*w = 0?
-5, -2, 0
Let t(p) be the second derivative of 40*p**2 - 11*p - 20/3*p**3 + 0 + 5/12*p**4. Factor t(k).
5*(k - 4)**2
Factor -4*m**3 + m**3 - 464 + 454 + 4*m**3 + 21*m - 12*m**2.
(m - 10)*(m - 1)**2
Suppose -14*f - 76 = -33*f. Solve 0 + 1/2*j**2 - 1/2*j**f - 1/4*j + 0*j**3 + 1/4*j**5 = 0 for j.
-1, 0, 1
Let d = 35 - 32. Find c, given that -7*c**2 + 3 - 11*c**2 + c**d - 1 + 16*c**2 - c = 0.
-1, 1, 2
Let g be 105/42 + (-11)/(-2). Let c(z) be the third derivative of 1/2*z**3 - 3/8*z**4 + g*z**2 + 0 + 3/40*z**6 - 1/4*z**5 + 0*z + 2/35*z**7. Factor c(t).
3*(t - 1)*(t + 1)**2*(4*t - 1)
Let t = -3628 - -72543/20. Let i = -3/5 - t. Solve i*q**2 + 0*q + 0 = 0 for q.
0
Let j(d) be the third derivative of -d**8/5880 + d**7/2940 + d**6/1260 - d**5/420 + 13*d**3/6 - 7*d**2. Let t(i) be the first derivative of j(i). Factor t(h).
-2*h*(h - 1)**2*(h + 1)/7
Find p such that 208*p**2 + p**4 - 5*p**3 + 32*p**3 + 37*p**3 + 3*p**4 + 192*p = 0.
-12, -2, 0
Let r(s) be the third derivative of 9*s**7/70 - 5*s**6/8 - 3*s**5/10 + 9*s**4/2 + 4*s**3 + 32*s**2 + 2. Factor r(n).
3*(n - 2)**2*(n + 1)*(9*n + 2)
Let f be 2/(-4) - (21/(-2) - -6). Suppose 0 = l + 2*o + 3, 6 - 27 = -3*l + 4*o. Factor -2*b**2 + 0*b**4 - 2*b**4 + f*b**l - 8*b**3.
-2*b**2*(b + 1)**2
What is p in 68/5*p - 14/5 + 2*p**2 = 0?
-7, 1/5
Let a be -5 - -5 - -1*0/1. Suppose -u = -5*y - a*y + 1, -y = -u - 1. Solve -2/3*p + 4/3*p**2 + y - 4/3*p**4 + 2/3*p**5 + 0*p**3 = 0.
-1, 0, 1
Let x(h) be the third derivative of 0*h**3 + 0 - 1/210*h**5 - 1/42*h**4 - 13*h**2 + 1/420*h**6 + 0*h. Factor x(a).
2*a*(a - 2)*(a + 1)/7
Let v(f) be the second derivative of f**4/30 - 2*f**3/5 + 9*f**2/5 + 456*f. Suppose v(i) = 0. What is i?
3
What is r in 72 + 1029*r**5 + 2010*r**4 + 1812*r**4 - 901*r**2 + 2537*r**3 - 293*r**2 - 710*r**3 - 156*r = 0?
-3, -1, -2/7, 2/7
Let t(o) be the second derivative of o**4/30 - 2*o**3/15 - 29*o + 3. Determine s, given that t(s) = 0.
0, 2
Factor 3/4*j**4 + 0*j - 3/4*j**5 + 0 + 6*j**3 - 9*j**2.
-3*j**2*(j - 2)**2*(j + 3)/4
Let u be ((-12)/(-8))/((-1)/(-2)). Let g be (5 - 0)*(-69)/(-115). Let 0*m**g + 4*m**2 - 10*m + 10*m - 4*m**u = 0. What is m?
0, 1
Let n(u) be the third derivative of 0 - 13*u**2 + 0*u + 6/245*u**7 + 16/105*u**5 + 0*u**3 + 1/10*u**6 + 2/21*u**4. Determine r, given that n(r) = 0.
-1, -2/3, 0
Let -19*d - 8*d - 234*d**2 + 6 + 0*d + 201*d**2 = 0. What is d?
-1, 2/11
Factor 1/7 - 1/7*k + 1/7*k**3 - 1/7*k**2.
(k - 1)**2*(k + 1)/7
Let x(r) = r + 3. Let g be x(0). Let j be 2/(-4) - (-15)/40*12. Determine i, given that i - 7*i + 7*i**3 + g*i**2 + 0*i**3 - 3*i**j - i**3 = 0.
-1, 0, 1, 2
Determine k, given that 20/9*k - 50/9 - 2/9*k**2 = 0.
5
Factor -1125*m - 5*m**3 + 9971*m**2 - 5071*m**2 - 5050*m**2.
-5*m*(m + 15)**2
Let c(r) = r**2 - 18*r - 36. Let y be c(20). Let l(n) be the second derivative of -8/3*n**3 + 0 - 1/60*n**6 - 1/5*n**5 + 5*n - y*n**2 - n**4. Facto