Factor -2*a**2 + 7*a**2 + y*a + 6 + a**3 - 2.
(a + 1)*(a + 2)**2
Suppose 13*v - 17*v + 8 = 0. Let a(m) be the second derivative of -3*m + 0*m**v - 1/27*m**3 + 0 + 1/54*m**4. Factor a(p).
2*p*(p - 1)/9
Let g be (11 + 1)/(6/4). Suppose h + g = 5*h. Factor 5*q + q**h + 3 - q + 1.
(q + 2)**2
Let n(a) = -a**3 + 9*a**2 - 39*a - 49. Let w(d) = -2*d**3 + 19*d**2 - 77*d - 98. Let b(y) = -7*n(y) + 4*w(y). What is j in b(j) = 0?
-1, 7
Let q(j) = -9*j - 43. Let i be q(-5). What is p in 4/11*p + 2/11*p**i + 2/11 = 0?
-1
Let b(l) be the first derivative of l**7/840 - l**6/120 + l**5/40 - l**4/24 + 4*l**3/3 - 1. Let k(z) be the third derivative of b(z). Factor k(c).
(c - 1)**3
Let l be 7/22*16/28. Factor -l*p + 4/11*p**2 + 2/11*p**3 - 4/11.
2*(p - 1)*(p + 1)*(p + 2)/11
Let x(c) be the third derivative of 7*c**6/240 - 11*c**5/120 + c**4/48 + c**3/4 + c**2. Factor x(o).
(o - 1)**2*(7*o + 3)/2
Let q be (8/(-10))/(2/(-15)). Suppose 18 = 4*c + q. Let -2*i**c + 2*i**5 - 3*i**3 + 3*i**3 = 0. What is i?
-1, 0, 1
Let a(g) = 4*g**3 - 199*g**2 + 3463*g - 19647. Let d(u) = u**2 - u + 1. Let q(f) = a(f) - 5*d(f). Factor q(i).
4*(i - 17)**3
Let l = -4 + 7. Let x = -6 + 7. Factor x + 3*t**2 - 2*t**3 + t - 4*t + t**l.
-(t - 1)**3
Let o(f) be the first derivative of -5*f**3/6 - 5*f**2/2 + 18. Factor o(r).
-5*r*(r + 2)/2
Let d(s) = 2*s**3 - 5*s. Let c(u) = 6*u**3 - 14*u. Let i(g) = -3*c(g) + 8*d(g). Factor i(x).
-2*x*(x - 1)*(x + 1)
Let q = 305 + -302. What is c in 9/2 + q*c + 1/2*c**2 = 0?
-3
Let r(u) be the third derivative of -u**6/120 - u**5/20 + u**4/6 + 4*u**2. Factor r(g).
-g*(g - 1)*(g + 4)
Let z be (36/(-16))/(6/(-16)). Let w = z - 3. Factor 2*l**3 + l**3 - 7*l + 5*l - l**w.
2*l*(l - 1)*(l + 1)
Let l(p) be the second derivative of 3/2*p**2 + 6*p + 3/4*p**3 + 3/16*p**4 + 3/160*p**5 + 0. Factor l(q).
3*(q + 2)**3/8
Let x(s) be the third derivative of -13*s**6/60 + 4*s**5/5 - 3*s**4/4 - 2*s**3/3 - 37*s**2. Factor x(w).
-2*(w - 1)**2*(13*w + 2)
Let s(r) be the second derivative of -1/60*r**5 + 0 - 1/90*r**6 + 0*r**3 + r + 0*r**4 + 0*r**2. Determine l so that s(l) = 0.
-1, 0
Determine o so that 64*o - 143 + 3*o**2 - 113 - 7*o**2 = 0.
8
Factor 28/13*w - 2/13*w**2 - 98/13.
-2*(w - 7)**2/13
Factor 2/9*x**2 + 0 - 2/9*x.
2*x*(x - 1)/9
Let f(j) = j. Let z(k) = 3*k**2 + 7*k - 6. Let g(d) = 4*f(d) - z(d). Suppose g(v) = 0. Calculate v.
-2, 1
Factor -3/2*i + 9/4*i**4 + i**5 - 1/4 + 1/2*i**3 - 2*i**2.
(i - 1)*(i + 1)**3*(4*i + 1)/4
Let c(o) = -4*o - 4. Let b be c(-3). Factor -3*j**2 - b - 8 + 19.
-3*(j - 1)*(j + 1)
Let n(k) be the second derivative of -k**6/360 + k**3/6 + 3*k. Let m(s) be the second derivative of n(s). Determine x so that m(x) = 0.
0
Let z(j) be the second derivative of j**7/63 - 4*j**6/45 + j**5/5 - 2*j**4/9 + j**3/9 - 19*j. Solve z(t) = 0 for t.
0, 1
Let c(k) be the first derivative of k**5/30 + 5*k**4/48 + k**3/12 - 3*k**2/2 + 4. Let w(q) be the second derivative of c(q). Factor w(u).
(u + 1)*(4*u + 1)/2
Let n be (-124)/(-440) + (-4)/22. Let i(z) be the third derivative of -n*z**5 + 0*z - z**2 + 0 - 1/3*z**3 - 1/60*z**6 - 1/4*z**4. Factor i(j).
-2*(j + 1)**3
Suppose 0*v + 6 = 3*v. Let t be (0/((-9)/(-3)))/v. Factor 3*l**2 + t*l**3 - 8*l**3 - l + 3*l**2 - l**3 + 4*l**4.
l*(l - 1)**2*(4*l - 1)
Let w(d) = 4*d**2 + d. Let h be w(1). Factor f**3 - f**2 + 0*f - h*f + 5*f.
f**2*(f - 1)
Suppose z - v = 33, 4*z - v = z + 93. Let t be (-6)/4 + 93/z. Factor -2/5*d**2 - t - 8/5*d.
-2*(d + 2)**2/5
Let f(q) be the second derivative of -q**5/20 + q**4/2 - 2*q**3 + 4*q**2 + 7*q. Determine u, given that f(u) = 0.
2
Let y be 3/9*(-48)/(-20). Determine v, given that 0 + 6/5*v**2 - y*v - 2/5*v**3 = 0.
0, 1, 2
Let j(i) be the second derivative of -i**5/60 + i**4/18 + 2*i**3/9 - 4*i**2/3 - 6*i. Find y such that j(y) = 0.
-2, 2
Let f(x) be the second derivative of -2/15*x**6 + 1/3*x**3 + 2*x + 1/21*x**7 + 2/3*x**4 - 2*x**2 - 1/5*x**5 + 0. Solve f(a) = 0.
-1, 1, 2
Let j(w) be the second derivative of 2/9*w**3 + 3*w + 1/36*w**5 + 1/6*w**4 - w**2 + 0. Let a(p) be the first derivative of j(p). Find h, given that a(h) = 0.
-2, -2/5
Let v = 80/147 + 6/49. Determine a, given that 2/9*a**4 + v*a**3 - 2/3*a - 4/9 + 2/9*a**2 = 0.
-2, -1, 1
Let z(c) = -c**2 + 114*c + 1079. Let r(j) = -6*j**2 + 798*j + 7554. Let f(w) = 4*r(w) - 27*z(w). Factor f(x).
3*(x + 19)**2
Let d(c) = 4*c**3 - c**2. Let n be d(1). Let 8*p**5 + 10*p**5 + 42*p**4 + 15*p**3 - 8 - p**n - 34*p**2 - 32*p = 0. What is p?
-1, -2/3, 1
Let h(w) = -w + 3. Let p be h(0). Let d = 49 - 97/2. Find r, given that 1/4*r**p - d - r**2 + 5/4*r = 0.
1, 2
Determine w so that -11/2*w**2 - 7/4*w**4 - 1/4*w**5 - 3/4 - 13/4*w - 9/2*w**3 = 0.
-3, -1
Let u(s) = 48*s**5 + 81*s**4 - 33*s. Let g(v) = 3*v**5 + 5*v**4 - 2*v. Let q(n) = 33*g(n) - 2*u(n). Let q(m) = 0. What is m?
-1, 0
Let u(q) be the second derivative of -1/18*q**4 + 0 + 3*q + 0*q**2 + 2/27*q**3 + 1/90*q**5. Solve u(p) = 0 for p.
0, 1, 2
Let x = 17/9 + -31/18. Let y(i) be the first derivative of -1/2*i**2 + 1/2*i**4 + 0*i - 2 - x*i**6 + 0*i**5 + 0*i**3. Factor y(o).
-o*(o - 1)**2*(o + 1)**2
Let n be (1 - 2 - 0) + 4. Suppose -5*m**4 + 5*m**4 + 2*m**4 + 3*m - m - 2*m**n - 2*m**2 = 0. What is m?
-1, 0, 1
Let u(x) be the first derivative of 1/9*x**3 - 2/9*x**2 - 2 + 3*x - 1/54*x**4. Let w(q) be the first derivative of u(q). Factor w(g).
-2*(g - 2)*(g - 1)/9
Suppose -3/7*i + 0 + 3/7*i**2 = 0. Calculate i.
0, 1
Let h(w) = -4*w**2 + 17*w - 8. Let m(j) = -1 - 8*j - 2 + 4 + 3 + 2*j**2. Let q(n) = 2*h(n) + 5*m(n). Suppose q(r) = 0. Calculate r.
1, 2
Let s(d) be the third derivative of 1/180*d**5 + 0 - 1/240*d**6 + 1/144*d**4 - 2*d**2 + 0*d**3 + 0*d. Factor s(x).
-x*(x - 1)*(3*x + 1)/6
Let n(m) be the second derivative of 1/27*m**3 - 1/90*m**5 + 1/9*m**2 + 0 - 3*m - 1/54*m**4. Factor n(z).
-2*(z - 1)*(z + 1)**2/9
Let s(u) be the third derivative of u**5/30 + u**4/6 - u**3 - 42*u**2. Factor s(o).
2*(o - 1)*(o + 3)
Let m(w) = 12*w**4 - 15*w**2 - 6. Let y(n) = n**4 - n**2 - 1. Let d(i) = m(i) - 9*y(i). Factor d(l).
3*(l - 1)**2*(l + 1)**2
Let a = -293/18221 + 1/959. Let d = 40/133 + a. Factor 2/7*g**2 + 0*g + 0 + 0*g**3 - d*g**4.
-2*g**2*(g - 1)*(g + 1)/7
Let y be 25*(64/(-10))/(-4). Let g be (-18)/(-45) + 14/y. Factor g*t + 0 + 3/4*t**2.
3*t*(t + 1)/4
Let w be (-1 + 10/4)*2. What is v in 12*v + 276*v**4 - 8 - 5 + 75*v**w + 198*v**2 - 63*v**5 - 474*v**3 - 11 = 0?
-2/7, 2/3, 1, 2
Factor -2/17*f**2 + 0*f + 0 - 6/17*f**3 - 6/17*f**4 - 2/17*f**5.
-2*f**2*(f + 1)**3/17
Let n(o) be the third derivative of -5*o**8/336 - o**7/21 + o**5/6 + 5*o**4/24 + 14*o**2. Find y such that n(y) = 0.
-1, 0, 1
Suppose -4*d + 25 = d, 4*o + 5*d - 29 = 0. Let b be o/(2/(-4) - -1). Solve -2 + b*n**2 + 1 - 1 = 0 for n.
-1, 1
Let h be (-9)/(-2) + 8/16. Let g(y) be the first derivative of 1/5*y**2 + 3/10*y**4 - 2/5*y**3 - 3 - 2/25*y**h + 0*y. Factor g(b).
-2*b*(b - 1)**3/5
Let d = 31/58 - 1/29. Factor 3/2*s**3 + 1/2*s + d*s**4 + 0 + 3/2*s**2.
s*(s + 1)**3/2
Suppose 0 = -4*s + 4*c, c + 2*c - 2 = 2*s. Factor 8 - 8 - o**5 + s*o**5 - 2*o**4.
o**4*(o - 2)
Let v(j) = -3*j**4 - 2*j**3 - 3*j**2 + 2*j - 1. Let i be 4*(2/1 - 1). Let y(z) = -z**4 - z**3 - z**2 + z. Let w(c) = i*v(c) - 14*y(c). Factor w(l).
2*(l - 1)*(l + 1)**2*(l + 2)
Factor 4 + 0 - 3*r + 0 - 2*r**2 + r.
-2*(r - 1)*(r + 2)
Suppose -3*s + 8*s = -4*v + 3, 3*s - 15 = 2*v. Suppose -w**3 + 19 + 10*w - 15 - 3*w**s + 2*w**2 = 0. Calculate w.
-1, -1/2, 2
Let u = 432 - 430. Factor -1/5*k + 2/5 - 1/5*k**u.
-(k - 1)*(k + 2)/5
Let q(i) be the third derivative of -1/390*i**5 - 1/156*i**6 + 1/156*i**4 + 0*i**3 + 0 + 0*i + 9*i**2 - 1/455*i**7. Factor q(y).
-2*y*(y + 1)**2*(3*y - 1)/13
Let x(o) be the first derivative of -o**7/1680 - 4*o**3/3 + 6. Let s(k) be the third derivative of x(k). Determine l, given that s(l) = 0.
0
Let j(t) be the second derivative of 3/40*t**5 + 0 - 3/8*t**4 + 3*t**2 + 0*t**3 + 3*t. Solve j(k) = 0 for k.
-1, 2
Let c(t) be the second derivative of -t**6/45 - t**5/30 + t**4/18 + t**3/9 - 12*t. Determine h, given that c(h) = 0.
-1, 0, 1
Let p = 0 + 5. Suppose -4*i + 12 = o, -2*i - p*o + 16 = -2*o. Let 1/2*m**i + 3/2*m + 1 = 0. What is m?
-2, -1
Let k be (-3)/20 - 19/(760/(-16)). Find x, given that 1/4*x**5 - 1/4*x**4 + k*x**2 + 0*x + 0 - 1/4*x**3 = 0.
-1, 0, 1
Let 