q(s) = 13*s**2 + 12*s + 2. Let w(i) = 2*i**2 + i - 1. Let h(a) = q(a) - 6*w(a). Factor h(r).
(r + 2)*(r + 4)
Find w such that 73*w**2 + 36 + 156*w + 36*w**2 - 24*w + 12*w**2 = 0.
-6/11
Let w = -215/8 - -6451/240. Let a(h) be the third derivative of 0*h - h**2 + 0*h**4 + w*h**5 + 0 + 0*h**3 + 1/480*h**6. Determine u, given that a(u) = 0.
-1, 0
Let f = -8 - -4. Let g be 8/f*5/(-2). Factor 0*j**3 - 3*j**2 - 2*j**3 - 5 + g*j + j**4 + j**3 + 3.
(j - 1)**3*(j + 2)
Let d be (18/4 - 6) + 45/(-2). Let g be (d/(-72))/(5/144). Factor -g - 3/5*o**2 + 24/5*o.
-3*(o - 4)**2/5
Let q be (-2 - -3)/((-11)/(-33)). Determine c so that -3/2*c**3 - 2*c**2 - q + 13/2*c = 0.
-3, 2/3, 1
Let c(d) be the first derivative of 4/3*d + 4/9*d**3 + 17/6*d**2 + 17. Factor c(s).
(s + 4)*(4*s + 1)/3
Suppose -6/7 - 33/7*s - 36/7*s**2 + 12/7*s**4 + 3/7*s**3 = 0. Calculate s.
-1, -1/4, 2
Let q = 5/159 + 149/318. Factor -1/4*j**2 - 1/4 + q*j.
-(j - 1)**2/4
Let a(f) be the third derivative of 2*f**7/105 - 7*f**5/15 - f**4 + 10*f**2 - 5*f. Let a(n) = 0. What is n?
-2, -1, 0, 3
Let z = -180/7 + 26. Let m(l) be the second derivative of -z*l**2 + 0 - 2/21*l**4 - 1/70*l**5 + 5*l - 5/21*l**3. Find h such that m(h) = 0.
-2, -1
Suppose 3*s + 4*q + 16 = 8, -5*s + 5*q = -10. Let t(b) be the second derivative of 0 + 0*b**2 + 0*b**5 - 1/30*b**6 + s*b**3 + 1/12*b**4 - 5*b. Factor t(m).
-m**2*(m - 1)*(m + 1)
Let j(g) = g**3 + g**2 - 3*g - 1. Let h = 153 + -151. Let f be j(h). Find d such that 3/7*d**4 + 2/7*d - d**3 + 0 - 3/7*d**2 + 5/7*d**f = 0.
-1, 0, 2/5, 1
Suppose -16/5*i**2 - 1 - 19/5*i + 4/5*i**3 = 0. What is i?
-1/2, 5
Let y(b) be the first derivative of -6*b**5/35 - 51*b**4/28 + 16*b**3/7 + 450*b**2/7 + 432*b/7 - 498. Solve y(d) = 0.
-6, -1/2, 4
Suppose 26*x - 12*x - 9*x = 10. Let -1/2*f**x + 2/3 + 1/6*f**3 + 0*f = 0. Calculate f.
-1, 2
Let l(d) be the second derivative of -d**4/12 + 3*d**3/2 - 5*d**2/2 - 7*d. Let o be l(8). Suppose -28*i + 29*i - 2*i**o + i**5 - 1 + 1 = 0. Calculate i.
-1, 0, 1
Let t(a) = -a - 1. Let q be t(-3). Factor -3 - 12*u**2 + 5 - u**5 - 4*u**4 + 5*u - 4*u**3 + 14*u**q.
-(u - 1)*(u + 1)**3*(u + 2)
Let z = 65366/5 + -13044. Solve 626/5*v**3 + 32/5*v**5 + 32/5 + 272/5*v**4 - 208/5*v + z*v**2 = 0 for v.
-4, -1, 1/4
Let a(z) be the third derivative of z**5/90 + 23*z**4/36 - 50*z**3/9 - 53*z**2. Solve a(u) = 0 for u.
-25, 2
Factor -t**2 - t**3 + 37 - 11*t - 33 + 7*t**2 + 2*t.
-(t - 4)*(t - 1)**2
Suppose -42 + 44 = -p + r, 0 = 2*p + 3*r - 6. Factor -8*l + 4/3*l**2 + p.
4*l*(l - 6)/3
Let m(p) be the third derivative of p**8/672 + p**7/84 - p**6/10 + p**5/30 + 2*p**4/3 - 19*p**2. What is g in m(g) = 0?
-8, -1, 0, 2
Let h be 17 + 12/(-3) + 1. Let w be h/15 + (-4)/12. Solve w*d**2 + 6/5 + 9/5*d = 0 for d.
-2, -1
Let u(z) be the first derivative of -z**6/24 + z**5/5 - z**4/4 - z**3/6 + 5*z**2/8 - z/2 - 39. Factor u(t).
-(t - 2)*(t - 1)**3*(t + 1)/4
Let m be 4 - (4/(-4) + -3). Solve m - 9*i**3 - 4*i + 13*i**3 - 8*i = 0.
-2, 1
Let z(r) be the first derivative of -14*r**3/3 + 27*r**2 - 36*r + 422. Factor z(d).
-2*(d - 3)*(7*d - 6)
Let x(k) be the second derivative of -k**8/3360 - k**7/630 - 3*k**4/4 + 8*k. Let b(s) be the third derivative of x(s). Factor b(i).
-2*i**2*(i + 2)
Factor 124/5*a + 126/5 - 2/5*a**2.
-2*(a - 63)*(a + 1)/5
Let d(b) be the first derivative of 2*b**3/3 - 4*b**2 + 6*b - 134. Factor d(l).
2*(l - 3)*(l - 1)
Let w(y) be the first derivative of -y**6/144 + y**5/72 + 5*y**4/72 + 47*y**2/2 + 53. Let l(g) be the second derivative of w(g). Let l(b) = 0. What is b?
-1, 0, 2
Let a(y) be the second derivative of -7*y - 1/60*y**5 + 1/18*y**4 + 0*y**2 + 0 + 0*y**3. Find f such that a(f) = 0.
0, 2
Suppose -1 = a - 4. Suppose 5*g + 28 = 12*g. What is x in 12*x**a - 40*x**g + 14*x**3 - x**2 + x**2 - 4*x**2 = 0?
0, 1/4, 2/5
Let t(m) = -4*m**2 - 8*m + 17. Let q(c) = -2*c**2 - 4*c + 8. Let d(p) = 10*q(p) - 4*t(p). Let d(i) = 0. Calculate i.
-3, 1
Let x(c) be the third derivative of c**6/720 + 11*c**5/180 + 19*c**4/144 - 7*c**3/6 + 3*c**2 + 4. Factor x(f).
(f - 1)*(f + 2)*(f + 21)/6
Let d(q) be the first derivative of -13 - 1/13*q**2 - 4/13*q + 2/39*q**3. Factor d(f).
2*(f - 2)*(f + 1)/13
Let v(m) = 6*m**2 - m - 7. Let s(l) = -l**2 - 1. Let x(p) = -3*s(p) + v(p). Let n(o) = -10*o**2 + 5. Let i(y) = 4*n(y) + 5*x(y). Determine q so that i(q) = 0.
0, 1
Suppose -4*i + 6 = -3*m, 9*i = 2*m + 6*i + 5. Factor -1/3*n**3 + 0*n - 1/3*n**4 + 0*n**m + 0.
-n**3*(n + 1)/3
Factor -12/5*j + 2/5*j**2 + 2/5*j**4 + 8/5*j**3 + 0.
2*j*(j - 1)*(j + 2)*(j + 3)/5
Let d = 20809/24269 + -1/3467. Factor 2/7*w**2 + d*w + 4/7.
2*(w + 1)*(w + 2)/7
Suppose 4*p - 24 = m, -396 + 426 = 5*p. Factor m + 1/2*l**5 - 1/2*l**4 - 3/2*l**3 + 5/2*l**2 - l.
l*(l - 1)**3*(l + 2)/2
Let j = 65 - 48. Factor -8*h + h**2 + 75 - j - 42.
(h - 4)**2
Suppose 3*g + 10 = x, 5*g + 16 = x - 0. Factor 1/4*y**2 - x - 3/4*y.
(y - 4)*(y + 1)/4
Let a(d) = -35*d**2 - 1890*d + 1880. Let q(s) = -3*s**2 - 172*s + 171. Let o(t) = 4*a(t) - 45*q(t). Factor o(b).
-5*(b - 35)*(b - 1)
Suppose 0 = j - 5*n + 3, -3*j + n + 2*n = -3. Let h be 2/8 - (-7)/4. Factor -2 + 5*u**2 + j*u**2 + 4*u - 9*u**h.
-2*(u - 1)**2
Suppose -3*i - 14 + 26 = 0. Suppose 5*v + j - 3 = 5, 2*j = -i. Suppose -9*c - 8*c**2 - 7*c**2 - 9*c**2 + 6 + v*c**3 - 11*c**3 = 0. What is c?
-2, -1, 1/3
Let j(g) be the first derivative of -5*g**3/2 + 22*g**2 + 6*g + 43. Let j(f) = 0. What is f?
-2/15, 6
Let w(j) = j**2 - 6*j - 38. Let i be w(10). Suppose -3*x = g, 0*x = -5*g - x. Factor g + 1/2*a**i + a.
a*(a + 2)/2
Let u = -181/46 - -148/23. Suppose -25*g**3 - 65/4*g**2 + 0 - u*g = 0. Calculate g.
-2/5, -1/4, 0
Let p(v) be the first derivative of 0*v**2 - 5/4*v**4 + 0*v**3 - 28 + 0*v. Factor p(c).
-5*c**3
Factor 57/8*p + 0 - 3/8*p**2.
-3*p*(p - 19)/8
Let j(v) = 52*v**4 - 122*v**3 + 18*v**2 + 12*v. Let k(u) = -52*u**4 + 121*u**3 - 19*u**2 - 10*u. Let m(d) = -5*j(d) - 6*k(d). Factor m(f).
4*f**2*(f - 2)*(13*f - 3)
Let g be (40/(-70))/(4/(-14)). Suppose 3*b + g*k = 0, -11 = 2*b - 3*k + 8*k. Factor 2*i**2 - i**b + 3*i - 5*i.
i*(i - 2)
Let d(j) be the second derivative of j**7/210 + 17*j**6/150 + j**5/2 - 19*j**4/30 - 49*j**3/10 + 117*j**2/10 + 381*j. Suppose d(i) = 0. What is i?
-13, -3, 1
Let z be ((-26)/4 - -7)/(9 + 0). Let q(r) be the second derivative of 0*r**5 + z*r**4 + 0*r**3 + 0 + 0*r**2 - 1/45*r**6 - 6*r. Solve q(w) = 0 for w.
-1, 0, 1
Let a be ((-84)/35)/((-1)/(10/(-2))). Let y be (a/5)/6 + 84/135. Factor -2/9*c**2 + 0 + y*c**3 + 0*c.
2*c**2*(c - 1)/9
Let p(x) be the second derivative of 0*x**2 + 0 + 1/50*x**6 - 3/100*x**5 + 0*x**3 - 1/10*x**4 + 38*x. Factor p(h).
3*h**2*(h - 2)*(h + 1)/5
Let j(o) = -o**2 + 28*o + 8270. Let z be j(106). Factor 0 + 0*k + 2/13*k**4 - 10/13*k**3 + 8/13*k**z.
2*k**2*(k - 4)*(k - 1)/13
Let t(f) = 2*f**4 + 3*f**3 - 41*f**2 + 71*f + 256. Let l(a) = a**4 + a**3 - 21*a**2 + 35*a + 128. Let n(o) = -7*l(o) + 3*t(o). What is w in n(w) = 0?
-4, -2, 4
Let j(t) = -2*t**2 - 36*t - 23*t + 0*t**2 + 40*t - 9. Let y be j(-9). Factor y*a**2 - 4/9*a**3 + 0 + 0*a - 2/3*a**4 + 10/9*a**5.
2*a**3*(a - 1)*(5*a + 2)/9
Let d be (-1185)/(-35)*-2*(-1)/(-78). Let t = d + 15/13. Find w such that -2/7 + t*w**2 + 0*w = 0.
-1, 1
Let s = -15/89 - -1439/8010. Let m(o) be the third derivative of 1/315*o**7 + s*o**5 + 0*o**4 + 0*o - 1/90*o**6 + 4*o**2 + 0 + 0*o**3. Factor m(i).
2*i**2*(i - 1)**2/3
Let t(g) be the first derivative of -g**4/2 - 76*g**3/3 - 72*g**2 - 310. Solve t(u) = 0.
-36, -2, 0
Let v(f) be the second derivative of 15/2*f**3 + 5/6*f**4 - 3*f + 0 - 25/2*f**2. Solve v(p) = 0 for p.
-5, 1/2
Let n(j) be the first derivative of -2 + 1/3*j**4 + 4/9*j**3 + 0*j - 2/3*j**2 - 4/15*j**5. Factor n(x).
-4*x*(x - 1)**2*(x + 1)/3
Let x(v) be the second derivative of v**9/3780 - v**7/210 - v**6/90 + 7*v**4/12 - 3*v. Let h(f) be the third derivative of x(f). Factor h(z).
4*z*(z - 2)*(z + 1)**2
Let h(j) = -5*j**5 + 18*j**4 - j**3 + 6*j - 6. Let p(o) = -9*o**5 + 34*o**4 - o**3 + 11*o - 11. Let w(q) = -11*h(q) + 6*p(q). Factor w(d).
d**3*(d + 1)*(d + 5)
Let q(b) = -72*b**2 + 68*b**2 - 16*b**3 + 5 - 15. Let m(w) = -5*w**3 - w**2 - 3. Let c(o) = -20*m(o) + 6*q(o). Factor c(t).
4*t**2*(t - 1)
Suppose -3*y + 2*f + 23 = 0, 11*f - 8*f + 12 = 0. What is p in 0*p**2 + 0*p**3 - 1/5*p**4 + 0*p - 1/