+ -6). Solve 2/11*t + 0*t**l + 0 - 2/11*t**3 = 0 for t.
-1, 0, 1
Let l(a) = -3*a - 3. Let h be l(-2). Find r, given that r**2 + 9*r**h - 7*r**3 + 2*r - 3*r**3 = 0.
-1, 0, 2
Suppose -4*n + 16*m - 4 = 20*m, 0 = 2*n - 4*m - 4. Let s(k) be the third derivative of 1/18*k**3 + 0*k**4 + n*k + 0 - 5*k**2 - 1/180*k**5. Factor s(i).
-(i - 1)*(i + 1)/3
What is q in 60*q**2 - 80*q**4 + 65*q**3 + 1533 - 100*q - 1513 - 35*q**4 + 35*q**2 + 35*q**5 = 0?
-1, 2/7, 1, 2
Let m(o) = -o**3 + 8*o**2 - o + 2. Let r(p) = -2*p**2 + 10*p - 3. Let c be r(4). Let b(i) = 8*i**2 - i + 3. Let a(s) = c*m(s) - 4*b(s). Factor a(x).
-(x - 1)**2*(5*x + 2)
Let t(k) be the third derivative of -k**7/22680 + k**6/6480 - 5*k**4/8 + 12*k**2. Let l(r) be the second derivative of t(r). Factor l(h).
-h*(h - 1)/9
Suppose -x - z = 13, -11 = 2*z - 3. Let d = x + 13. Factor -4*p**3 - p**3 - p**d - 7*p - 2 - 5*p**2 - 4*p**2.
-(p + 1)**3*(p + 2)
Let i(q) be the first derivative of -q**3/15 - q**2/2 - 16. Factor i(a).
-a*(a + 5)/5
Let z(x) = 3*x**3 + 22*x**2 - 2. Let o(l) = -20*l**3 - 155*l**2 + 15. Let u(m) = 2*o(m) + 15*z(m). Factor u(n).
5*n**2*(n + 4)
Let g(l) = l**3 + 3*l**2 - 4. Let a be (-3)/1*16/12. Let m(h) be the third derivative of h**5/20 - h**3/2 + 6*h**2. Let c(b) = a*m(b) + 3*g(b). Factor c(j).
3*j**2*(j - 1)
Let c(o) = -o**5 + 3*o**4 - 4*o**2 - o + 1. Let p(t) = -t**4 + t**3 + t**2. Suppose 5*b - 3*l - 14 = 4, 4*l = b + 10. Let x(j) = b*p(j) + 3*c(j). Factor x(i).
-3*(i - 1)**3*(i + 1)**2
Factor 3/8*i**3 - 135/2 - 51/8*i**2 + 36*i.
3*(i - 6)**2*(i - 5)/8
Let v(x) be the first derivative of 2*x**3/3 - 16*x**2 + 30*x + 44. Factor v(y).
2*(y - 15)*(y - 1)
Let q(a) = -4*a**4 + 2*a**3 - a**2 - 3. Let o(v) = -v**4 + v**3 - v**2 - 1. Let w(u) = 6*o(u) - 2*q(u). Solve w(s) = 0 for s.
-2, 0, 1
Let o be (-594)/88 - (92/(-12) + (-6)/(-9)). Let f be (2/20)/((-4)/(-10)). Factor -1/4 + o*v**2 + 1/4*v**3 - f*v.
(v - 1)*(v + 1)**2/4
Let a be -1*(-1 + -19)/5. Let j be ((-4)/2 + a)*(-3)/(-33). Let 2/11*g - 2/11*g**3 - 2/11*g**2 + j = 0. Calculate g.
-1, 1
Suppose -6*t**3 + 48/5*t**2 + 0*t + 3/5*t**5 - 21/5*t**4 + 0 = 0. Calculate t.
-2, 0, 1, 8
Let q(l) be the third derivative of -1/840*l**6 + 1/21*l**3 + 0 - 5/168*l**4 + 0*l + 8*l**2 + 1/105*l**5. Let q(k) = 0. Calculate k.
1, 2
Let s(q) be the third derivative of q**7/140 - 9*q**6/80 + q**5/5 - 22*q**2 - 2. Factor s(f).
3*f**2*(f - 8)*(f - 1)/2
What is m in -2*m**4 - 4*m**2 - 10*m**3 + 2*m**2 + 62*m - 4*m**2 - 44*m = 0?
-3, 0, 1
Factor 122/7*p - 40/7*p**2 - 6/7*p**3 - 36/7.
-2*(p - 2)*(p + 9)*(3*p - 1)/7
Let k(v) be the third derivative of -16*v**2 - 1/20*v**4 - 1/280*v**8 + 2/75*v**5 - 2/15*v**3 + 0 - 2/525*v**7 + 1/50*v**6 + 0*v. What is w in k(w) = 0?
-1, -2/3, 1
Let s = 34 - 32. Suppose 3*x**3 - 20*x**2 + 3*x**4 + 7*x + 8*x**2 - 3*x**s + 2*x = 0. What is x?
-3, 0, 1
Let q(l) = -6*l**2 - 24*l + 2. Let p be q(-4). Suppose p*t + 0*s + 10 = -2*s, -10 = -t + 2*s. Factor 0 + t*o + 33/2*o**3 + 21/2*o**5 + 3*o**2 + 24*o**4.
3*o**2*(o + 1)**2*(7*o + 2)/2
Suppose -9*d = -13*d. Suppose d = -8*f + 1860 - 84. Factor -9*o**3 - 3*o**4 + 225*o**2 + 6*o + 0*o**3 + 3*o**5 - f*o**2.
3*o*(o - 2)*(o - 1)*(o + 1)**2
Let f(j) be the first derivative of -8*j + 2*j**5 + 1/3*j**6 - 2/3*j**3 + 7/2*j**4 - 12 - 8*j**2. What is t in f(t) = 0?
-2, -1, 1
Suppose -5*h = -5*f - 170, 2*f - 33 - 35 = -2*h. Let x be (-304)/(-52) + -6 - h/(-52). Determine i so that -x*i**3 + 1/2*i + 0 - 3/2*i**2 + 3/2*i**4 = 0.
-1, 0, 1/3, 1
Suppose 7/3*p**2 - 1/3*p**4 - 5/3*p**3 - 2 + 5/3*p = 0. What is p?
-6, -1, 1
Let r(d) be the second derivative of 1/7*d**2 + 0 - 1/42*d**4 + 1/21*d**3 - 12*d - 1/70*d**5. Factor r(u).
-2*(u - 1)*(u + 1)**2/7
Suppose -2*h = 9*h - 22. Let x(q) be the first derivative of h*q - 3 + 1/3*q**3 - 3/2*q**2. Solve x(l) = 0 for l.
1, 2
Let b = -2846/95 - -149/5. Let u = b + 25/38. Factor -u*t**4 - 3/2*t**3 + 0 - 3/2*t**2 - 1/2*t.
-t*(t + 1)**3/2
Determine j, given that -48/5 + 2/15*j**3 - 26/5*j - 4/15*j**2 = 0.
-3, 8
Suppose 0 = -11*z + 7*z - 8. Let v(y) = 2*y**2 + 2*y. Let a(i) = 4*i + i + 3*i**2 + i**2. Let c(b) = z*a(b) + 5*v(b). Suppose c(n) = 0. Calculate n.
0
Let c(l) be the third derivative of -5/336*l**8 + 1/6*l**5 + 5/24*l**4 - 1/21*l**7 + 0*l**3 + 0*l**6 + 0 + 0*l - 7*l**2. Suppose c(p) = 0. What is p?
-1, 0, 1
Factor -6*r**2 + 78*r**3 + 64*r**3 - 9*r - 139*r**3.
3*r*(r - 3)*(r + 1)
Suppose 47*i - 59 = 35. Find o, given that 2/3 - 2*o + 2*o**i - 2/3*o**3 = 0.
1
Suppose 677 + 345 = 14*l. Let z = -71 + l. Factor 1 + 4/3*o + 1/3*o**z.
(o + 1)*(o + 3)/3
Let q(u) be the second derivative of 0 - 2/9*u**3 + 7*u - 2/3*u**2 - 1/36*u**4. Solve q(k) = 0.
-2
Suppose 3*j - 24 = -3*m, -26 = 3*m - 5*m - 4*j. Suppose 2*n - 7 - 3 = 0. Factor -2*u**m - u**2 + u + 3*u**3 + 4 - n*u.
(u - 2)*(u - 1)*(u + 2)
Let y(p) = -8*p**4 + 6*p**3 + 2*p**2 + 6*p + 12. Let i(c) = c**4 - c**3 + c**2 - c - 2. Let n(r) = -6*i(r) - y(r). What is k in n(k) = 0?
-2, 0, 2
Let v(f) = -3875*f**2 + 3625*f + 90. Let k(y) = -298*y**2 + 279*y + 7. Let i(c) = 40*k(c) - 3*v(c). Factor i(h).
-5*(h - 1)*(59*h + 2)
Let r be 40/(-20) - (4 - -3) - -9. Find w, given that 0 + r*w - 2/17*w**5 - 2/17*w**4 + 2/17*w**3 + 2/17*w**2 = 0.
-1, 0, 1
Factor 3/7*g**4 - 30/7*g**3 + 324/7*g + 27/7*g**2 - 324/7.
3*(g - 6)**2*(g - 1)*(g + 3)/7
Let x(y) = -y**2 - 3*y - 2. Suppose 4*b - 192 = -4*t, 0*b + 20 = -4*b. Let l(m) = 0*m - 27 + m + t - 25 + m**2. Let a(k) = -6*l(k) - 3*x(k). Factor a(h).
-3*h*(h - 1)
Let n = -70/67 + 43896/42143. Let x = n + 2522/1887. Factor x*m**2 + 0 + 0*m - 4/3*m**3.
-4*m**2*(m - 1)/3
Suppose -8/7*s - 8/7*s**2 + 6/7*s**3 + 0 + 4/7*s**4 - 2/7*s**5 = 0. What is s?
-1, 0, 2
Let v = 617/2493 - 7/277. Factor -10/9*l**3 + v*l**4 + 4/9 - 14/9*l + 2*l**2.
2*(l - 2)*(l - 1)**3/9
Let y(u) = -u**3 + 5*u**2 - 3*u - 2. Suppose -5*c - 19 = -x, x + 3*x + c = 13. Let l be y(x). Let -14 + 9 - 11 - 8*t + 2*t**2 - 3*t**l = 0. Calculate t.
-4
Let 12/7*a - 4/7*a**3 + 2/7*a**4 + 0 - 10/7*a**2 = 0. Calculate a.
-2, 0, 1, 3
Let b(v) = v + 16. Let w be b(-16). Suppose w = 4*h - 25 + 9. Find u such that 0*u + 3*u**5 - 2*u + 12*u**2 + 5*u + 18*u**3 + 12*u**h = 0.
-1, 0
Suppose 0 = 42*n - 52*n. Determine z, given that n - 2/13*z**2 + 2/13*z**3 - 4/13*z = 0.
-1, 0, 2
Suppose -4*t - 40 = -4*w - 14*t, 2*w + t = 4. Factor 0*y**2 + 3/8*y**3 + w + 1/8*y**4 - 1/2*y.
y*(y - 1)*(y + 2)**2/8
Let j be (-12)/(-2 - -5) - -7. Suppose -2*m = 2*c - c + 4, j*c - 16 = m. Determine o so that 16/5 + 0*o + 1/5*o**c + 0*o**3 - 8/5*o**2 = 0.
-2, 2
Factor -8/5*h**4 + 14/5*h + 26/5*h**3 - 6*h**2 - 2/5.
-2*(h - 1)**3*(4*h - 1)/5
Let w(r) be the second derivative of r**5/15 - 29*r**4/54 + 40*r**3/27 - 17*r**2/9 - 102*r. Factor w(o).
2*(o - 1)**2*(6*o - 17)/9
Let t(u) = 15*u**5 + 3*u**4 + 13*u**3 - u**2 - 13*u - 13. Let p(c) = 7*c**5 + 2*c**4 + 7*c**3 - 6*c - 6. Let f(g) = 13*p(g) - 6*t(g). Factor f(v).
v**2*(v + 1)**2*(v + 6)
Suppose -3*a - 3*v = 0, -5*a - 8 = -0*a - 3*v. Let d = 4 + a. Find k, given that k**3 + 0*k**3 + 3*k**3 + 2*k**2 - 5*k**d = 0.
0, 2
Let a = 6719 - 100823/15. Let j = a - -16/5. Solve 2/3*g**2 + j*g + 2/9*g**3 + 2/9 = 0 for g.
-1
Suppose -5*t - 494 = -n, -t + 4*t + 4*n + 278 = 0. Let o = t + 401/4. Factor 3/2 + 21/4*f + o*f**2.
3*(f + 2)*(3*f + 1)/4
Let v(k) be the second derivative of k**5/100 + 31*k**4/60 + k**3 - 629*k. Factor v(t).
t*(t + 1)*(t + 30)/5
Let a be (3/(-35))/(((-352)/77)/8). Let q(d) be the second derivative of 6*d + 0 + 0*d**2 - a*d**5 + 3/4*d**4 - d**3. Factor q(i).
-3*i*(i - 2)*(i - 1)
Suppose 8*a + 4*a = 72. Suppose 5*b - i = 9 + 3, b = 2*i + a. Solve -12/7 + 3*o**b + 6/7*o**3 + 12/7*o = 0 for o.
-2, 1/2
Let t(o) be the first derivative of -7*o**5/10 + 103*o**4/8 + 87*o**3/2 + 185*o**2/4 + 17*o - 485. What is i in t(i) = 0?
-1, -2/7, 17
Let j = 11244961 + -16901175733/1503. Let p = j + 2/167. What is y in 2/3*y**5 + p*y**4 + 0 + 0*y**2 + 8/9*y - 2*y**3 = 0?
-2, -2/3, 0, 1
Suppose 5*n = 3*l - 20, 2*n - 612 + 620 = 0. Factor 0*b**3 + l - 2/11*b**4 + 2/11*b**2 + 0*b.
-2*b**2*(b - 1)*(b + 1)/11
Let p(h) be the first derivative of -h**4/3 + 64*h**3/3 - 512*h**2 + 3*h + 11. Let x(b) be the first derivative of p(b). Find l, given that x(l) = 0.
16
Let g(h) be the third derivative of 0*h**3 + 0 + 0*h - 1/600*h**6 + 1