*3 + 3/4*y**2 - 3/4*y**4.
-3*y*(y - 1)*(y + 1)**2/4
Let 55*n**2 - 33*n + 12*n**3 + n + 76*n**2 - 39*n**2 = 0. Calculate n.
-8, 0, 1/3
Let g be ((-208)/(-728))/(9/35). Suppose -g*q**4 + 16/9 - 4/3*q**2 + 34/9*q**3 - 40/9*q = 0. What is q?
-1, 2/5, 2
Suppose 2*x + 0*x = 4. Suppose -3*c + 10 = x*c. Determine p so that 0*p + 30*p**c - 33*p**2 - p - p + p**4 = 0.
-1, 0, 2
Suppose -10*q - 36 = -12*q - 5*j, -2*q = -2*j + 6. Determine h, given that 0*h**q + 2*h**2 + 0 + 4/3*h - 2/3*h**4 = 0.
-1, 0, 2
Find i, given that 2/11*i**2 - 32/11*i + 128/11 = 0.
8
Let u(f) be the third derivative of f**7/630 + f**6/72 + f**5/60 - 5*f**4/72 - 2*f**3/9 - 646*f**2. Suppose u(z) = 0. What is z?
-4, -1, 1
Factor 22*u**2 + 0*u**3 + 0*u**3 + 99 + 2*u**3 + 129*u - 9 - 51*u.
2*(u + 3)**2*(u + 5)
Let f = 467 + -2329/5. Let y = -62/5 - -13. Factor 0 + f*i - y*i**2.
-3*i*(i - 2)/5
Let i = -85/64 + 1789/576. Factor -32/9 - 2/9*p**2 + i*p.
-2*(p - 4)**2/9
Let v(t) = 8*t**3 + 6*t**2 - 3*t - 1. Let c(p) = 7*p**3 + 6*p**2 - 3*p - 2. Let a(u) = -5*c(u) + 4*v(u). Suppose a(i) = 0. What is i?
-2, -1, 1
Let x be 6*-1*(-2)/3. Factor -11*z**3 + 18*z**3 + 4*z**4 + 2*z**2 - 11*z**3 - 2*z**x.
2*z**2*(z - 1)**2
Let k = -24299/3 - -8177. Let u = 78 - k. Factor 2/3*a - u*a**2 + 2/3 - 2/3*a**3.
-2*(a - 1)*(a + 1)**2/3
Let h(i) = -3*i**3 + 4*i**2 + i - 6. Let m(r) = -3*r**3 + 3*r**2 + r - 5. Let o = -25 + 30. Let n(u) = o*h(u) - 6*m(u). Factor n(z).
z*(z + 1)*(3*z - 1)
Let l(z) = -z + 16. Let u be l(-11). Suppose -4 = -n - 5*i - u, 4*n - i - 13 = 0. Factor -11/2*b + 1 + 8*b**n - 7/2*b**3.
-(b - 1)**2*(7*b - 2)/2
Factor -2*x**3 + 9/5 - 8/5*x**2 - 1/5*x**4 + 2*x.
-(x - 1)*(x + 1)**2*(x + 9)/5
Let p(w) be the first derivative of -55*w**3/3 + 60*w**2 - 20*w - 182. Find v, given that p(v) = 0.
2/11, 2
Let g(o) = 16*o**3 + 600*o**2 - 6864*o - 16224. Let i(w) = -6*w**3 - 200*w**2 + 2288*w + 5408. Let x(c) = -5*g(c) - 14*i(c). Factor x(y).
4*(y - 26)**2*(y + 2)
Let g = -56 + 59. Factor -15 + g + 15*u + 3 - 6*u**2.
-3*(u - 1)*(2*u - 3)
Let r(p) be the third derivative of -3*p**5/70 - p**4/56 + p**3/14 - 22*p**2 - 2*p. Factor r(x).
-3*(2*x + 1)*(3*x - 1)/7
Let d(r) be the second derivative of -r + 0 + 0*r**5 + 0*r**4 + 1/15*r**6 + 0*r**3 + 0*r**2. Solve d(l) = 0.
0
Let s = -68/81 + 421/405. Let -7/5*u**3 + 1/5*u**4 + s*u**5 + 0 - 1/5*u**2 + 6/5*u = 0. What is u?
-3, -1, 0, 1, 2
Let c = -4 + 7. Suppose l - 3 = -1. Factor -c*s**l + s**2 + 4 - 2*s**2.
-4*(s - 1)*(s + 1)
Let b be 9/(-3)*-1 + 6/3. Let h be (b/(-18))/(-5)*4. Factor -8/9 - 8/9*k - h*k**2.
-2*(k + 2)**2/9
Let f(j) = -5*j**3 - 21*j**2 + 63*j - 125. Let t(h) = 9*h**3 + 41*h**2 - 128*h + 250. Let p(x) = 11*f(x) + 6*t(x). Let p(s) = 0. Calculate s.
5
Factor 0*r**2 + 4/3*r + 0 - 4/3*r**3.
-4*r*(r - 1)*(r + 1)/3
Let n(y) = -25*y - 221. Let d be n(-9). Let h(u) be the first derivative of 12*u + d*u**2 + 4/9*u**3 - 6. Suppose h(w) = 0. Calculate w.
-3
Let z(r) be the third derivative of -8*r**2 + 0 + 0*r - 3/7*r**3 - 1/210*r**5 - 1/14*r**4. Factor z(k).
-2*(k + 3)**2/7
Let m(d) be the second derivative of 0*d**2 + 1/5*d**5 + 0 + 0*d**3 - 1/9*d**4 - 37*d - 2/15*d**6 + 2/63*d**7. Factor m(p).
4*p**2*(p - 1)**3/3
Factor 4*r**3 - 14*r**3 - 84*r + 80*r**2 - 195*r**2 - 71*r - 50.
-5*(r + 1)*(r + 10)*(2*r + 1)
Suppose -f = 4*c - 13, 8*c - 3*c - 3*f = 29. Suppose -w**4 + 0*w**4 - 26*w**3 + 3*w**c + 24*w**3 = 0. Calculate w.
0, 1
Let v = -116422/9 - -12767. Let r = 169 + v. Factor -8/9*l - r*l**2 - 2/3.
-2*(l + 1)*(l + 3)/9
Let s = -139 + 259. Let d be (2 - -2) + s/(-35). Determine p so that 2/7*p**2 - d*p + 0 = 0.
0, 2
Let d(z) be the third derivative of -z**5/390 + 11*z**4/52 + 13*z**2 + 2*z. Suppose d(g) = 0. What is g?
0, 33
Let u(s) be the second derivative of -s**5/5 - 5*s**4/3 + 56*s**3/3 + 64*s**2 - s + 119. Factor u(q).
-4*(q - 4)*(q + 1)*(q + 8)
Let f(x) be the second derivative of -x**6/40 - 3*x**5/20 + 2*x**3 + 6*x**2 - 4*x - 9. Factor f(r).
-3*(r - 2)*(r + 2)**3/4
Let 0*d - 3*d + 2*d**3 + 85*d**2 + d - 87*d**2 + 2 = 0. Calculate d.
-1, 1
Let n be 2/(-14) + (-6)/(-21). Let j(w) = -4*w**2 + 34*w - 70. Let b be j(4). Let -4/7 - n*h**b + 4/7*h = 0. What is h?
2
Factor -8*d**3 + 15833*d**2 - 2*d**4 - 15837*d**2 + 8*d + 6*d**4.
4*d*(d - 2)*(d - 1)*(d + 1)
Suppose 3*g + 6 = 3*z, 3*g + z = 2*g + 8. Factor 5*q**4 - q + 4*q**g + 6*q**3 - 15*q**2 - 20 - 39*q.
5*(q - 2)*(q + 1)**2*(q + 2)
Solve -8 - 3452*v**4 + 6*v - 24*v**2 - 2*v**3 - 2*v**3 + 3460*v**4 + 22*v = 0 for v.
-2, 1/2, 1
Let c = 34 - 30. Suppose -15*q**2 + 9*q**4 + q**c + 10 + 5*q**3 - 5*q - 5*q**4 = 0. What is q?
-2, -1, 1
Factor -60*x + 5*x**2 + 70 - 18*x + 32*x + 60 - 89*x.
5*(x - 26)*(x - 1)
Solve 132*i + 45/4*i**2 + 1/4*i**3 + 121 = 0 for i.
-22, -1
Factor 2/5*b**3 + 8*b**2 + 0 + 30*b.
2*b*(b + 5)*(b + 15)/5
Let x(y) = 55*y**3 - 530*y**2 + 2475*y - 3035. Let r(z) = 5*z**3 - 48*z**2 + 225*z - 276. Let p(j) = -65*r(j) + 6*x(j). Factor p(h).
5*(h - 6)*(h - 3)**2
Let g(z) be the second derivative of 15*z + 1/14*z**4 + 0 + 0*z**3 + 1/70*z**5 - 4/7*z**2. Let g(q) = 0. Calculate q.
-2, 1
Let f = 2467/2990 + -15/598. Suppose -17/5*u**2 + 13/5*u**4 - 4/5*u - 1/5*u**3 + f + u**5 = 0. Calculate u.
-2, -1, 2/5, 1
Suppose -3*z + x - 21 = 5, 0 = -5*z - 4*x - 66. Let g be 25/z*-6*3. Solve g*f**2 + 5*f + 5*f**4 - f**4 + 21*f**3 - f**4 + 22*f = 0.
-3, -1, 0
Let s be ((-44)/66)/(-1 + (-10)/(-6)). Let m(o) = -4*o**3 - 19*o**2 - 20*o - 9. Let l(d) = -d**3 - d**2 + d - 1. Let k(z) = s*m(z) + 2*l(z). Factor k(n).
(n + 1)*(n + 7)*(2*n + 1)
Let d(w) be the first derivative of -w**6/18 + 14*w**5/15 - 17*w**4/6 + 8*w**3/9 + 35*w**2/6 - 22*w/3 + 164. Find s such that d(s) = 0.
-1, 1, 2, 11
Let c be -1*(2 - -4*3). Let r = -12 - c. Find j, given that -j + 2*j**2 + 2*j**r - j**2 - j**2 - 1 = 0.
-1/2, 1
Let q(j) be the first derivative of j**7/42 + 7*j**6/72 + j**5/8 - 14*j**3/3 + 16. Let f(n) be the third derivative of q(n). Determine y so that f(y) = 0.
-1, -3/4, 0
Let x(h) be the first derivative of h**9/5544 + h**8/4620 - h**7/4620 + 4*h**3 + 7. Let n(a) be the third derivative of x(a). Factor n(i).
2*i**3*(i + 1)*(3*i - 1)/11
Let x(h) = 2*h**3 - h**2 - 1. Let i(a) = -45*a**4 - 140*a**3 - 100*a**2 - 40*a + 5. Let d(m) = i(m) + 10*x(m). Factor d(j).
-5*(j + 1)**2*(3*j + 1)**2
Suppose -54*v - 44*v**2 - 20*v**3 + 61*v - 31*v = 0. What is v?
-6/5, -1, 0
Let v(p) be the second derivative of 0*p**4 + 0 - 1/10*p**6 + 0*p**2 + 0*p**3 + 0*p**5 + 27*p. Factor v(r).
-3*r**4
Let o = -22 - -32. Factor b**3 + b**3 + o*b**3 - 6*b + 9*b**4 - 15*b**2.
3*b*(b - 1)*(b + 2)*(3*b + 1)
Let f = 29 + -27. Factor 4*v - 4*v + 3*v**4 - 4*v**3 + v**3 - 9*v - 15*v**f.
3*v*(v - 3)*(v + 1)**2
Suppose -2*g - 12 = -0*g. Let t(j) = 1 + 0*j + j - 3*j**2 - 9*j - j**3 + 9*j. Let i(o) = -o**3 - o**2 + o. Let n(a) = g*i(a) + 3*t(a). Factor n(p).
3*(p - 1)**2*(p + 1)
Solve -25 - 280*r**3 - 167*r**2 - 410*r**2 - 159*r + 80*r**4 - 61*r + 22*r**2 = 0.
-1, -1/4, 5
Let l = 11 - 14. Let g be 5*l/6*2. Let b(p) = -p**3 - p. Let h(o) = -13*o**3 + 33*o**2 - 7*o - 3. Let a(j) = g*b(j) - h(j). Factor a(v).
3*(v - 1)**2*(6*v + 1)
Determine u, given that -39/7*u**3 - 240/7*u + 3/7*u**4 + 0 + 24*u**2 = 0.
0, 4, 5
Let r(g) be the first derivative of 2*g**5/5 - 191*g**4/18 + 910*g**3/9 - 1127*g**2/3 + 1372*g/9 - 12. Solve r(u) = 0.
2/9, 7
Let 32/3*i**2 + 0 + 2/3*i**4 + 0*i + 34/3*i**3 = 0. Calculate i.
-16, -1, 0
Let b = 182 - 180. Let n(x) be the second derivative of 0 - x**b - 1/6*x**4 - 4*x - 2/3*x**3. Find r, given that n(r) = 0.
-1
Let d(r) = -r**2 - r. Let c(u) = -u**3 + 29*u**2 - 42*u. Let o(g) = -c(g) - 4*d(g). Determine h so that o(h) = 0.
0, 2, 23
Let j(m) be the first derivative of 125*m**6/6 - 195*m**5 + 595*m**4/4 + 835*m**3/3 - 360*m**2 + 140*m + 46. Suppose j(a) = 0. Calculate a.
-1, 2/5, 1, 7
Let h(i) = i**3 + 6*i**2 - 6*i - 11. Let s be h(-6). Factor 0*b**2 + 3*b**2 - s - 6*b + 28.
3*(b - 1)**2
Let q = 106 + -121. Let t be (48/40)/((-24)/q). What is a in -5/4*a**2 - a + t*a**3 + 1 = 0?
-1, 2/3, 2
Let h(u) be the second derivative of 6/5*u**4 + 1/5*u**5 + 1/75*u**6 + 15*u + 27/5*u**2 + 0 + 18/5*u**3. Factor h(a).
2*(a + 1)*(a + 3)**3/5
Let b(a) be the second derivative of a**4/30 + 13*a**3/5 - 8*a**2 + 34*a + 7. Factor b(f).
2*(f - 1)*(f + 40)/5
Suppose