q*(q - 1)**2*(q + 1)**2
Let p(x) = 2*x**2 + 3*x - 8. Let m be p(2). Let k(q) be the second derivative of -1/3*q**m - 4*q + 0 + 5/6*q**4 - 1/5*q**5 + 0*q**2 + 2/3*q**3. Factor k(g).
-2*g*(g - 1)*(g + 1)*(5*g + 2)
Let i be 0 - (-3)/(6/8). Factor -2*m**3 - 5*m**4 + 4*m + 3*m**3 + i*m**3 - 8*m**2 + 4*m**4.
-m*(m - 2)**2*(m - 1)
Let y be (11/(-4))/((-29)/(-58)) - -6. Factor -3*n**4 + 11/4*n**3 - y*n**2 + 0 + 0*n.
-n**2*(3*n - 2)*(4*n - 1)/4
Let g(t) be the third derivative of t**7/1680 + t**6/480 - t**5/40 - t**4/2 + 13*t**2. Let f(q) be the second derivative of g(q). Factor f(j).
3*(j - 1)*(j + 2)/2
Let f(c) be the third derivative of -c**5/75 + 104*c**4/15 - 21632*c**3/15 + 69*c**2. Factor f(s).
-4*(s - 104)**2/5
Let s = -52 + 158/3. Determine q so that 0*q + 4/9*q**2 + 0 + 2/9*q**4 - s*q**3 = 0.
0, 1, 2
Let h(s) be the second derivative of s**5/140 + 5*s**4/14 + 114*s. Factor h(j).
j**2*(j + 30)/7
Let q be 696/495 - (-16)/264. Find l such that -6/5*l - q*l**3 + 4/15 + 2/5*l**4 + 2*l**2 = 0.
2/3, 1
Let f = -266 - -157. Let d = -109 - f. Factor -1/2*x**4 + d*x + 0*x**3 - 1/2 + x**2.
-(x - 1)**2*(x + 1)**2/2
Let p(u) be the third derivative of u**9/120960 + u**8/3360 + u**7/210 + 2*u**6/45 - u**5/20 + 6*u**2. Let o(q) be the third derivative of p(q). Factor o(h).
(h + 4)**3/2
Let y(n) be the first derivative of 0*n**2 + 0*n - 8 - 4/35*n**5 - 4/7*n**3 - 4/7*n**4. Factor y(l).
-4*l**2*(l + 1)*(l + 3)/7
Find k such that 2/19*k**3 + 104/19*k - 32/19*k**2 - 96/19 = 0.
2, 12
Let j(l) be the third derivative of -l**10/302400 + l**8/13440 + l**7/5040 + l**5/4 + 25*l**2. Let v(n) be the third derivative of j(n). Factor v(w).
-w*(w - 2)*(w + 1)**2/2
Let b(j) be the second derivative of 7*j**6/4 - 537*j**5/40 + 2*j**4 + 5*j**3 + 81*j. What is k in b(k) = 0?
-2/7, 0, 2/5, 5
Let p(t) be the second derivative of 0*t**2 + 0 - 5/42*t**7 + 0*t**4 + 5/3*t**6 - 44*t + 0*t**3 - 25/4*t**5. What is v in p(v) = 0?
0, 5
Factor 27/8*a**2 - 15/2*a + 9/2 - 3/8*a**3.
-3*(a - 6)*(a - 2)*(a - 1)/8
Let m be 10 + -9 - (-190)/(-195). Let n(l) be the second derivative of 1/78*l**4 + 6*l + 1/130*l**5 + 0 - m*l**3 - 1/13*l**2. Suppose n(c) = 0. Calculate c.
-1, 1
Suppose -v + 3 = 17. Let j be v/14 - (-2 - -1). Determine n so that 2/13*n**3 + j - 4/13*n + 2/13*n**2 = 0.
-2, 0, 1
Let v(x) = -2*x - 6. Let k be v(-3). Suppose 0*a - 5*a = -2*c + 38, k = -5*c + 5*a + 65. Factor c*d**2 - 9/4*d - 3/2 - 21/4*d**3.
-3*(d - 1)**2*(7*d + 2)/4
Suppose 5*z = -f + 5*f + 8, -4*z + 3*f = -7. Solve -2/7*v**3 - 2/7*v**5 - 6/7*v**z + 4/7*v + 0 + 6/7*v**2 = 0 for v.
-2, -1, 0, 1
Let l(q) be the second derivative of -q**6/960 - 6*q**2 + 12*q. Let t(c) be the first derivative of l(c). Find j such that t(j) = 0.
0
Let a = -1849/55 - -169/5. Determine x so that -a*x**5 + 2/11*x**3 + 0*x + 0 - 2/11*x**2 + 2/11*x**4 = 0.
-1, 0, 1
Let b(w) be the first derivative of -32/21*w**3 - 2/21*w**6 - 8/7*w + 8/35*w**5 - 22 + 2/7*w**4 + 2*w**2. Factor b(x).
-4*(x - 1)**4*(x + 2)/7
Let -2*b**2 - 312*b + 9761 + 4*b**2 + 9135 - 6728 = 0. Calculate b.
78
Let k(y) be the first derivative of y**5/10 - y**4/2 + 2*y**3/3 + 6*y + 12. Let h(s) be the first derivative of k(s). Factor h(a).
2*a*(a - 2)*(a - 1)
Let l(q) = -q - 29. Let p be l(-32). Suppose -8/15*r**2 + 8/15 - 2/15*r + 2/15*r**p = 0. What is r?
-1, 1, 4
Let i = -211 + 137. Let m = i - -80. Solve -3/2*q**2 + 6*q - m = 0.
2
Factor 0*b**3 - 11 - 44*b**2 + 0*b - 18*b + 37*b**2 + 3*b**3 + 3.
(b - 4)*(b + 1)*(3*b + 2)
Let o = 18 - 10. Suppose -s + 4*s = 4*u + o, -3*s - 3*u = -15. Factor a**s - a + 9*a**2 - 4*a**4 + 7*a.
-3*a*(a - 2)*(a + 1)**2
Let u(s) = s**2 + 2*s + 1. Let o(a) = -2*a**4 + 7*a**3 + 6*a**2 + 4*a + 2. Let t(n) = o(n) - 2*u(n). Factor t(q).
-q**2*(q - 4)*(2*q + 1)
Let r(l) be the second derivative of l**6/285 - 11*l**5/190 - 13*l**4/114 + 11*l**3/57 + 12*l**2/19 - 3*l - 36. Determine v, given that r(v) = 0.
-1, 1, 12
Let c be (-405)/70*21/(-36). Factor -33/8*x**2 + 0 + c*x**3 + 3/4*x.
3*x*(x - 1)*(9*x - 2)/8
Let o(x) be the second derivative of x**5/90 + 8*x**4/9 + 23*x**3 + 1058*x**2/9 - 2*x - 4. Factor o(r).
2*(r + 2)*(r + 23)**2/9
Let i(g) be the first derivative of -1/2*g + 29 - 1/6*g**3 + 1/2*g**2. Determine n, given that i(n) = 0.
1
What is s in -5*s**2 - 665*s**3 + 255 + 112 + 280*s**4 - 406 - 20*s**5 + 640*s + 259 = 0?
-1/2, 2, 11
Let g(m) = m**3 - 12*m**2 - 3*m + 3. Let l(a) = -1037 - 4*a**2 - 2*a + 1039 - 8*a**2. Let t(j) = 4*g(j) - 6*l(j). Factor t(q).
4*q**2*(q + 6)
Let b(g) = 17*g - 166. Let n be b(10). Let o(r) be the first derivative of -2 - 12*r**2 - r**3 + 3*r**5 + 21/4*r**n - 12*r + 1/2*r**6. Solve o(q) = 0 for q.
-2, -1, 1
Let h = 1288/3195 - 2/639. Let u(q) be the first derivative of 0*q - 5 - 9/25*q**5 - h*q**3 + 0*q**2 - 3/4*q**4. Suppose u(s) = 0. Calculate s.
-1, -2/3, 0
Let c be (-1 - (-124)/28)*3402/56. Factor 50/7*x**4 + 2/7*x**5 + 540/7*x**2 + c + 380/7*x**3 - 2430/7*x.
2*(x - 1)**2*(x + 9)**3/7
Let j(w) be the second derivative of -w**10/151200 - w**9/37800 - 4*w**4/3 - 8*w. Let i(z) be the third derivative of j(z). Factor i(k).
-k**4*(k + 2)/5
Let w be -7 + 10 + 2 + -5 + 4. Let g = 9 - 9. Determine m, given that 2*m - w*m**2 + 0*m - m**3 + 3*m**3 + g*m**2 = 0.
0, 1
Let r(k) be the third derivative of 0 + 1/40*k**6 - 1/336*k**8 + 1/210*k**7 + 0*k - 1/12*k**4 - 5*k**2 + 0*k**3 - 1/60*k**5. Suppose r(z) = 0. Calculate z.
-1, 0, 1, 2
Solve 98/9*b**3 - 26/9*b**4 - 8/9*b**5 + 10/3*b + 146/9*b**2 + 0 = 0 for b.
-5, -1, -1/4, 0, 3
Solve -1/2*h**5 + 2*h**4 - 16*h**2 + 35/2*h - 6 + 3*h**3 = 0 for h.
-3, 1, 4
Let l(z) be the second derivative of -z**6/135 - 179*z**5/90 + 10*z**4/3 + 127*z. Factor l(j).
-2*j**2*(j - 1)*(j + 180)/9
Suppose 4*u + 3*c = -93, 3*u + 3*c + 67 = -2*c. Let q be (u/16)/(2/(-4)). Factor -s**5 - s**3 + 5*s**5 - q*s**5.
s**3*(s - 1)*(s + 1)
Factor 23/7 + 1/7*g**3 + 3*g**2 - 45/7*g.
(g - 1)**2*(g + 23)/7
Let r be (-15)/(-3) + 15/9*-3. Let s(k) be the first derivative of 10 + 2/5*k**5 + 0*k - k**4 + r*k**2 + 2/3*k**3. Solve s(p) = 0.
0, 1
Let s(g) = g**3 - 8*g**2 + 6*g + 9. Let a be s(7). Factor -2*q**3 + 9*q**2 - 5*q**2 + 3*q**2 + 2*q - 4 - 3*q**a.
-2*(q - 2)*(q - 1)*(q + 1)
Suppose 3*w + 4*q = -0*q + 1486, -2473 = -5*w - 3*q. Let m be (-2)/9 - w/(-117). Let 1/2*v + 1/3*v**2 - 1/6*v**5 + 1/6 - 1/3*v**3 - 1/2*v**m = 0. What is v?
-1, 1
Factor 47/7*x**2 - 6/7*x**3 - 12*x + 44/7 - 1/7*x**4.
-(x - 2)**2*(x - 1)*(x + 11)/7
Suppose 472/3*b**2 - 160/3*b + 16/3 - 120*b**3 + 27*b**4 = 0. What is b?
2/9, 2
Let i(u) be the third derivative of u**5/80 + u**4/32 - 2*u**2 - 26*u. Factor i(w).
3*w*(w + 1)/4
Let s(z) be the first derivative of 2/35*z**5 - 128/7*z - 16/7*z**2 - 22 + 24/7*z**3 - 11/14*z**4. Factor s(g).
2*(g - 4)**3*(g + 1)/7
Let l(v) be the third derivative of -v**5/15 - v**4/6 + 8*v**3 - 258*v**2. Let l(b) = 0. What is b?
-4, 3
Let l be 24/(-15)*(2 + 45/(-10)). Let i(v) be the first derivative of -1/10*v**2 - l + 2/5*v - 1/15*v**3. Suppose i(c) = 0. What is c?
-2, 1
Let s be 78/8 - 3/((-18)/(-3)). Let n = s + -243/28. Suppose -n*x + 2/7*x**5 - 6/7*x**4 + 0 + 6/7*x**2 + 2/7*x**3 = 0. What is x?
-1, 0, 1, 2
Factor -4/5*p**2 - 72/5 + 36/5*p.
-4*(p - 6)*(p - 3)/5
Suppose 3*q + 3*s - 21 = 0, -q - 4*s + 10 = -3. Factor -q*i + 3 + 25*i**2 - 6*i - 7*i**2 - 10*i.
3*(i - 1)*(6*i - 1)
Suppose 4*t + 0*t = 5*u + 79, 3*u - 23 = -2*t. Suppose 5*v + 6 = t. Factor -4*n**3 + 0 + 16*n**v + 0 - 4*n - 12*n**3.
-4*n*(2*n - 1)**2
Let o(f) be the third derivative of 11*f**7/70 - f**6/20 - 11*f**5/5 + f**4 + 64*f**2. Factor o(g).
3*g*(g - 2)*(g + 2)*(11*g - 2)
Suppose 7 = 4*j + 3*v, 2 - 5 = 3*j + 5*v. Let n(c) be the first derivative of 6*c + j*c**3 - 5 + 3/4*c**4 + 15/2*c**2. What is r in n(r) = 0?
-2, -1
Suppose 6 = r + 2*k, -4*k + 6 = r - 4. Solve 3*o**2 - 6*o**r + 1 + 2 - 6*o - 6 = 0 for o.
-1
Let j(i) be the first derivative of 0*i + 4*i**2 + 15 + 4/3*i**3. Solve j(a) = 0.
-2, 0
Let d = -1/1445 + 4337/2890. Solve d*z**2 - 9/2 - 3*z = 0.
-1, 3
Solve 0*a**4 + 4*a**3 + 8*a**2 + 7*a**3 - 31*a**3 + 32*a + 4*a**4 = 0.
-1, 0, 2, 4
Let m(a) = 3 + 11*a - 3*a**2 + 14*a**3 + 0*a - 11*a**3. Let c(s) = -2*s**3 + 2*s**2 - 8*s - 2. Let o(h) = 7*c(h) + 5*m(h). Solve o(t) = 0 for t.
-1, 1
Let y(x) be the second derivative of 0*x**5 - 3*x - 1/1440*x**6 