**2 + 0 - c*g - 1/4*g**3 = 0. Calculate g.
0, 1
Let y(j) be the second derivative of j**7/126 - j**6/18 + 2*j**5/15 - j**4/9 - 5*j. Solve y(t) = 0.
0, 1, 2
Let m = 165 - 159. Let v(w) be the third derivative of 1/16*w**4 + 0 + 3*w**2 + 0*w**3 - 7/160*w**m + 1/16*w**5 + 0*w. Find k, given that v(k) = 0.
-2/7, 0, 1
Suppose 0*u = -2*u - 4. Let a be (u/6)/((-2)/12). Factor 2*z**3 - 6*z**2 - 2*z - z**2 - 11*z**3 - 5*z**4 - a*z**5 + z**5.
-z*(z + 1)**3*(z + 2)
Let t(b) = 18*b**2 - 21*b. Let u be (2/(-4))/(2/60). Let j(s) = -s**2 + s. Let m(q) = u*j(q) - t(q). Factor m(z).
-3*z*(z - 2)
Factor 3*d + 0 - 17*d**2 - 3*d**3 + 20*d**2 - 3.
-3*(d - 1)**2*(d + 1)
Suppose 56 - 1 = 5*u. Let w(g) = 7*g**3 - 5*g**2 + 2*g - 4. Let c(y) = 13*y**3 - 10*y**2 + 5*y - 8. Let k(s) = u*w(s) - 6*c(s). Suppose k(z) = 0. What is z?
1, 2
Let r(u) be the second derivative of -3*u + 0 - 2/147*u**7 - 5/42*u**4 - 1/21*u**3 - 9/70*u**5 - 1/15*u**6 + 0*u**2. Solve r(v) = 0 for v.
-1, -1/2, 0
Suppose 60 + 174*l**4 - 596*l**3 + 436*l**2 - 149*l + 392*l**2 - 6 - 229*l - 18*l**5 = 0. Calculate l.
1/3, 3
Let w(m) be the third derivative of -m**6/60 - m**5/10 - m**4/6 - m**2. Let w(v) = 0. Calculate v.
-2, -1, 0
Suppose -3*h + 17 = -2*c, 5*h - 5 = -2*c + 2. Suppose -4*o + 6 + 10 = -t, 3*o = h*t + 21. Determine l so that 4/5*l - 1/5*l**o + 0*l**2 + 0 = 0.
-2, 0, 2
Determine u so that -16/3 - 8/3*u - 1/3*u**2 = 0.
-4
Let h(n) = 6*n**5 + 4*n**4 - 5*n**3 + 2*n**2 + 7. Let m(r) = 5*r**5 + 4*r**4 - 5*r**3 + 2*r**2 + 6. Let w(o) = -6*h(o) + 7*m(o). Find v such that w(v) = 0.
0, 1, 2
Factor -1/2*w**2 + 0 + 3/2*w.
-w*(w - 3)/2
Let j(x) be the first derivative of x**4/2 + 10*x**3/3 + 7*x**2 + 6*x + 10. Solve j(m) = 0.
-3, -1
Let m be (-16)/(-7) + (-2)/7. Let b be 0/m*(-3)/9. Let -2/3*w - w**2 + b = 0. Calculate w.
-2/3, 0
Let m(g) be the second derivative of -g**7/210 + g**6/150 + 3*g**5/100 - g**4/12 + g**3/15 - 2*g. Let m(w) = 0. Calculate w.
-2, 0, 1
Let f be 4 + (-1026)/108 + 2*3. Factor 3/2 - f*i**2 - i.
-(i - 1)*(i + 3)/2
Let t be 2 - 1 - (0 - -1). Let c = 23/70 - -1/14. Let c*z + 2/5*z**2 + t = 0. Calculate z.
-1, 0
Let c(v) be the third derivative of v**6/240 - v**5/40 + v**4/16 - v**3/12 + v**2. Factor c(p).
(p - 1)**3/2
Let n be ((-6)/(-9))/(4 + -3). Find p, given that -28/3*p**3 + 2/3 - 4*p**2 - 22/3*p**4 - 2*p**5 + n*p = 0.
-1, 1/3
Let x be (3/9)/(8*3). Let g(c) be the third derivative of 0*c + 0 - 1/360*c**6 - c**2 + x*c**4 - 1/180*c**5 + 1/18*c**3. Determine j so that g(j) = 0.
-1, 1
Let n(u) be the second derivative of -7*u**5/120 - u**4/8 + u**3/3 + u**2/3 - 13*u. Factor n(d).
-(d - 1)*(d + 2)*(7*d + 2)/6
Let z(s) be the second derivative of -s**9/7560 + s**7/1260 - s**4/3 + 2*s. Let b(o) be the third derivative of z(o). Solve b(n) = 0.
-1, 0, 1
Let h(x) be the first derivative of 1/4*x**4 + 2 - 1/4*x + 1/12*x**3 - 1/2*x**2. Factor h(i).
(i - 1)*(i + 1)*(4*i + 1)/4
Let x be 2/(-14) - (-205)/945. Let r(z) be the second derivative of 0*z**2 + 0 + 1/54*z**4 + 3*z - x*z**3. Factor r(o).
2*o*(o - 2)/9
Let a = -1 - -25. Let m be (a/(-32))/(27/(-8)). Suppose -8/9*u - m*u**2 - 8/9 = 0. Calculate u.
-2
Let p(q) = q**2 + 5. Let f(j) = -j**2 - 8*j - 2. Let r be f(-5). Let l(i) = -2*i**2 - 11. Let x(y) = r*p(y) + 6*l(y). Determine n, given that x(n) = 0.
-1, 1
Let x = -5/22 - -8/11. Factor 1/2*c**4 + x*c + 0 + 3/2*c**3 + 3/2*c**2.
c*(c + 1)**3/2
Let a be (0 - -3)*(0 - -1). Let h be (a/(-6))/(1/(-4)). Factor h*y + 5 + 2*y**2 - 5.
2*y*(y + 1)
Let c(x) be the first derivative of -4*x**3/3 + 4*x**2 + 12*x + 26. Factor c(g).
-4*(g - 3)*(g + 1)
Suppose -5/4*y**3 + 0*y**2 + 0 + 1/4*y**5 + 0*y**4 + y = 0. What is y?
-2, -1, 0, 1, 2
Determine x so that -3/8*x**3 - 3/2*x**2 - 3/8*x + 9/4 = 0.
-3, -2, 1
Let j(g) be the third derivative of -g**9/120960 + g**8/40320 - g**5/30 - 2*g**2. Let k(u) be the third derivative of j(u). Factor k(x).
-x**2*(x - 1)/2
Let k(a) be the first derivative of 2*a**5/55 + a**4/22 - 6*a**3/11 + a**2 - 8*a/11 - 35. What is l in k(l) = 0?
-4, 1
Let d(k) be the first derivative of -1/3*k**4 - 4/9*k**3 + 0*k**2 + 0*k + 2 + 1/5*k**5. Determine u so that d(u) = 0.
-2/3, 0, 2
Let r(l) be the first derivative of 0*l + 1/8*l**2 - 1/12*l**3 - 1. Let r(v) = 0. What is v?
0, 1
What is l in -2/5*l**3 - 6/5*l**2 + 2/5*l + 6/5 = 0?
-3, -1, 1
Suppose -4*r = 1 - 17. Let u be (-18)/(-9)*(-2 + r). Factor 0 - i**2 + 1/2*i**5 + 0*i**3 + i**u - 1/2*i.
i*(i - 1)*(i + 1)**3/2
Let v = -2/53 - -112/159. Let h be (-201)/(-36) + 2/(-8). Suppose v - 76/3*y**3 + 50/3*y**2 - 16/3*y - h*y**5 + 56/3*y**4 = 0. Calculate y.
1/2, 1
Solve 1/8*r**4 - 1/4*r + 0 + 0*r**3 - 3/8*r**2 = 0.
-1, 0, 2
Let l(y) be the first derivative of 5/28*y**4 - 4 + 4/35*y**5 + 0*y + 1/42*y**6 + 0*y**2 + 2/21*y**3. Factor l(p).
p**2*(p + 1)**2*(p + 2)/7
Suppose 0 = -p + 5*p - 12. Let q(m) be the third derivative of 0*m - 1/30*m**5 + m**2 + 0*m**p + 0 + 0*m**4. Factor q(k).
-2*k**2
Let g = 48 + -33. Suppose 3*c - g = -2*c. Factor l**3 - c*l - l**4 + l + 2*l.
-l**3*(l - 1)
Let j(q) be the second derivative of -q**7/7560 + q**6/720 - q**5/180 - q**4/4 - 4*q. Let z(o) be the third derivative of j(o). Solve z(s) = 0.
1, 2
Factor -10*o**2 + 368*o - 8*o**3 - 373*o + 3*o**3.
-5*o*(o + 1)**2
Let i(b) = -b**3 - 3*b**2 - 3*b + 1. Let q(g) = g**2. Suppose 0 = -4*p - 8 + 32. Let n(s) = p*q(s) + i(s). Factor n(h).
-(h - 1)**3
Let h = 2/349 + 329/3490. Let d(p) be the first derivative of -2/15*p**3 + 0*p + 1/5*p**2 - h*p**4 + 2/25*p**5 + 3. Solve d(i) = 0 for i.
-1, 0, 1
Let v be (21/(-14))/((-11)/4). Let -v*f**2 - 2/11*f**3 - 6/11*f - 2/11 = 0. Calculate f.
-1
Let w be (-2)/(-6) - (-2)/(-24). Solve -s**2 - w - 5/4*s = 0 for s.
-1, -1/4
Let g(i) be the second derivative of i**4/48 - 2*i**3/3 + 8*i**2 - 2*i. Factor g(q).
(q - 8)**2/4
Let r(j) be the second derivative of 1/12*j**4 + 0 + 1/3*j**3 + 1/2*j**2 + j. Factor r(u).
(u + 1)**2
Let i(o) be the first derivative of 2*o**3/27 + 7. Let i(r) = 0. What is r?
0
Suppose 16/5*h - 4/5*h**3 + 6/5*h**2 - 2/5*h**4 + 8/5 = 0. Calculate h.
-2, -1, 2
Suppose 0 = -6*i + 38 - 14. Factor 0*y + 2/9 + 0*y**3 + 2/9*y**i - 4/9*y**2.
2*(y - 1)**2*(y + 1)**2/9
Let v(k) be the third derivative of -k**6/20 + k**5/40 + 5*k**2. Factor v(f).
-3*f**2*(4*f - 1)/2
Let n = 103 - 169. Let f be 20/110 - 76/n. Factor -2*i**4 + f*i**3 + 4/3*i**2 + 2/3 + 2/3*i**5 - 2*i.
2*(i - 1)**4*(i + 1)/3
Let n(x) be the second derivative of -x**7/105 + x**6/20 - x**5/10 + x**4/12 + x**2 - 2*x. Let y(w) be the first derivative of n(w). Factor y(o).
-2*o*(o - 1)**3
Let a(y) be the third derivative of y**5/30 - y**4/4 - 8*y**2. Factor a(u).
2*u*(u - 3)
Suppose -64 = -4*u - 4*v, 4*u + 9 = 2*v + 49. Let n be 1/((-3)/(u/(-7))). Factor -6/7*c**2 - 2/7*c**3 - n*c + 0.
-2*c*(c + 1)*(c + 2)/7
Let b(w) = w**3 - 1. Let q(g) = -8*g**3 + 9. Let i(c) = 18*b(c) + 2*q(c). Factor i(l).
2*l**3
Let j(l) be the first derivative of l**7/4200 + 2*l**3 + 3. Let h(m) be the third derivative of j(m). Find p, given that h(p) = 0.
0
Let v be 0 - 5 - (-15)/(-5). Let n be (-2)/v + (-30)/(-8). Solve 4*w**3 - w**3 - 2*w**n + w**4 + 4*w**4 = 0.
-1, 0
Let v = 10 - -25. Let c be (6/10)/(7/v). Factor -2*t**4 + 0*t**2 + 4/3*t**c + 0 + 0*t.
-2*t**3*(3*t - 2)/3
What is u in 0*u**3 - 2/9*u**4 + 0 + 0*u + 2/9*u**2 = 0?
-1, 0, 1
Factor 3*i + 3/2*i**2 + 3/2.
3*(i + 1)**2/2
Let l(q) = 4*q**2 + q. Let c be l(1). Factor -v**5 - 3*v**5 + 3*v**c + 30*v**3 - 29*v**3.
-v**3*(v - 1)*(v + 1)
Let a(x) = 3*x**3 + 7*x**2 - 27*x + 15. Let v be 2/10 - (-4)/5. Let s(l) = l**3 + l**2 - l + 1. Let o(h) = v*s(h) + a(h). Determine w, given that o(w) = 0.
-4, 1
Let i be 136/(-6) - (-2)/3. Let o be 16/(-88) + (-114)/i. Determine j, given that 0*j + 0 - 2/7*j**2 - 4/7*j**o - 10/7*j**4 - 8/7*j**3 = 0.
-1, -1/2, 0
Factor -5*z + 11*z**5 - 2*z**3 - 15*z**4 - 5*z + 15*z**2 + 7*z**3 - 6*z**5.
5*z*(z - 2)*(z - 1)**2*(z + 1)
Let m(f) be the second derivative of f**4/42 - 4*f**3/21 + 4*f**2/7 - 4*f. Factor m(h).
2*(h - 2)**2/7
Let -8/17*u**2 - 2/17*u + 4/17*u**4 + 4/17*u**3 + 4/17 - 2/17*u**5 = 0. What is u?
-1, 1, 2
Let q(a) be the first derivative of -a + 1 - 7/6*a**3 + 1/6*a**4 + 7/20*a**5 - a**2. Let w(p) be the first derivative of q(p). Factor w(h).
(h - 1)*(h + 1)*(7*h + 2)
Let w(a) = a + 1. Let d be w(-1