3*a + 2)
Suppose p - 28 = -11*r + 10*r, 0 = -4*p - r + 106. Let g = p - 74/3. Factor 8*s + 12 + g*s**2.
4*(s + 3)**2/3
Let h be (-114)/(-22 - -3) + (-45)/8. What is a in -3/4*a**3 + 0 + 0*a + 3/8*a**4 + h*a**2 = 0?
0, 1
Let z(a) = a**2 + a - 4. Let g(u) = -3*u**2 - 3*u + 13. Suppose f = -4 + 11. Let o be (-1 + 3)/((-2)/f). Let m(v) = o*z(v) - 2*g(v). Let m(r) = 0. Calculate r.
-2, 1
Let n be -2 + 0 + -18 + 22. Factor g**4 + 16*g - n*g**2 + 2*g**3 - 14*g + 2*g**4 - 5*g**2.
g*(g - 1)*(g + 2)*(3*g - 1)
Suppose 3*y - 7 + 25 = 3*b, 2*b = 4*y + 14. Determine o so that b*o**2 + 2*o + 0*o - 12*o + 0*o = 0.
0, 2
Let m = -2130/13 - -12793/78. Solve m*d**2 - 2/3*d + 2/3 = 0.
2
Let q(z) = -7*z + 14. Let t be q(5). Let a be t/6*(-8)/7. Factor 4/5*l - 2/5*l**a + 0 - 4/5*l**3 + 2/5*l**2.
-2*l*(l - 1)*(l + 1)*(l + 2)/5
Let k be (-33)/(-315)*9 - 52/65. Suppose 0*o**2 - k*o**4 + 0*o - 1/7*o**5 + 0 + 2/7*o**3 = 0. Calculate o.
-2, 0, 1
Suppose 356*c + 2*c**2 - 26*c**3 + 70*c**4 - 356*c + 98*c**5 = 0. What is c?
-1, 0, 1/7
Factor -2/3*a**2 - 3/2 - 2*a.
-(2*a + 3)**2/6
Let t be (79 - 49)/((1*2)/1). Let x be (-5)/t*72/(-21). What is m in 4/7*m**3 - 12/7*m**2 - 20/7*m + 4/7*m**4 - x = 0?
-1, 2
Factor -81/2 + 189/8*d - 9/4*d**2 - 3/8*d**3.
-3*(d - 3)**2*(d + 12)/8
Let j(d) be the third derivative of -13*d**2 + 1/156*d**4 - 1/195*d**5 + 0 + 2/13*d**3 + 0*d. Let j(n) = 0. Calculate n.
-3/2, 2
Let o(a) be the first derivative of -a**6/9 - 4*a**5/15 + a**4/3 + 8*a**3/9 - a**2/3 - 4*a/3 + 271. Determine g, given that o(g) = 0.
-2, -1, 1
What is h in -4*h**2 - 19*h**4 - 29*h**5 - h**4 + 16*h**3 + 37*h**5 = 0?
0, 1/2, 1
Let y(a) = -14 - 4*a**2 - 16*a - 13 - 11 + 8. Let q = 31 - 33. Let x(w) = -9*w**2 - 32*w - 59. Let i(p) = q*x(p) + 5*y(p). Factor i(b).
-2*(b + 4)**2
Let d(c) = 19*c**2 - 11*c - 24. Let f(t) = t**2 + 6*t - 1. Let z(x) = -d(x) - f(x). Solve z(w) = 0 for w.
-1, 5/4
Let i(n) = -n**4 + n**3 + n - 1. Let s(f) = 11*f**3 + 2 - 13*f**2 + 3*f**4 - 9*f - 18*f**3 + 0. Let c(x) = -2*i(x) - s(x). Let c(w) = 0. What is w?
-1, 0, 7
Factor -28*u**2 + 13 - 23 - 71*u - 245*u - 12 - 66.
-4*(u + 11)*(7*u + 2)
Let f(r) be the third derivative of r**8/192 - 11*r**7/420 + 23*r**6/480 - r**5/30 + 4*r**2 - 3*r. Let f(y) = 0. Calculate y.
0, 1, 8/7
Let i(j) be the second derivative of j**4/4 + 61*j**3/2 + 2*j + 49. Find z such that i(z) = 0.
-61, 0
Let s(a) be the second derivative of -a**7/63 - a**6/15 + a**5/30 + a**4/6 + 38*a - 2. Let s(l) = 0. Calculate l.
-3, -1, 0, 1
Let g(u) be the third derivative of 1/480*u**6 + 0*u + 0 + 9*u**2 + 0*u**3 + 1/60*u**5 + 1/24*u**4. Suppose g(l) = 0. What is l?
-2, 0
Let v = -1231/58 - -630/29. Let 0*m**3 + m**2 + 0 - m**4 - v*m**5 + 1/2*m = 0. Calculate m.
-1, 0, 1
Suppose 2*g - 5*z + 34 = 0, 4*g + 4*z + 0*z = -124. Let p = g - -47. Factor 48 + 15*t**2 + p*t - 23*t - 21*t - 12*t**2.
3*(t - 4)**2
Let w(n) be the first derivative of -18/17*n - 25 - 2/85*n**5 - 24/17*n**2 - 44/51*n**3 - 4/17*n**4. Factor w(i).
-2*(i + 1)**2*(i + 3)**2/17
Factor m**2 + 1234*m + 2 - 2 - 1209*m.
m*(m + 25)
Let y = 24 - 0. Determine v, given that -5*v - 5*v - 34*v + 0 - y - 12*v**2 = 0.
-3, -2/3
Factor 1/4*b**2 + 17/4 + 9/2*b.
(b + 1)*(b + 17)/4
Find d, given that -4*d**3 - 40 + 2/5*d**4 + 42/5*d**2 + 16*d = 0.
-2, 2, 5
Let u(o) = -4*o**4 - 16*o**3 - 2*o**2 - 2*o - 6. Let f = -30 - -51. Let a = 20 - f. Let h(s) = s**4 - s - 1. Let m(y) = a*u(y) + 6*h(y). Factor m(c).
2*c*(c + 1)**2*(5*c - 2)
Let c be 5 + 18/(-2) + 0. Let g(x) = x**2 + 4*x - 1. Let h(m) = m**2 + 4*m - 2. Let f(v) = c*h(v) + 5*g(v). Factor f(z).
(z + 1)*(z + 3)
Let r(u) be the third derivative of -u**9/504 - u**8/840 + u**7/210 - 5*u**3/2 - 2*u**2. Let q(g) be the first derivative of r(g). Factor q(w).
-2*w**3*(w + 1)*(3*w - 2)
Factor 105*r - 2*r**4 - 305*r**2 - 14*r**3 + 35*r**3 + 490 - r**4 + 54*r**3 - 2*r**4.
-5*(r - 7)**2*(r - 2)*(r + 1)
Let p(f) = -2*f**2 - 19*f + 5. Let z be p(-9). Let q = z - 12. Factor -4*h**3 - h**2 - 3*h**q + h**5 - 2*h**4 + 3*h**5 + 6*h**4.
4*h**2*(h - 1)*(h + 1)**2
Let x = 1145 + -1145. Let y(o) be the third derivative of 1/100*o**5 + 1/120*o**4 - 9*o**2 + 1/1050*o**7 + 0*o + 0*o**3 + 1/200*o**6 + x. Factor y(q).
q*(q + 1)**3/5
Let g(a) = -a**2 + 33*a + 10. Let q(p) = 4*p**2 - 99*p - 31. Let d(r) = 11*g(r) + 4*q(r). What is s in d(s) = 0?
-2/5, 7
Let j(g) be the third derivative of g**7/1680 - g**6/240 + g**5/120 + 16*g**2. Factor j(f).
f**2*(f - 2)**2/8
Let d be 27*(24/18 + (0 - 1)). Let g(h) = -3*h + 30. Let w be g(d). Find z such that 4/9 + 4/9*z - 4/9*z**2 - 4/9*z**w = 0.
-1, 1
Suppose 3*n + 60 = 3*j, 3*j - 92 = -5*n - 0*n. Let p be j/(-13) - (-2 - 0 - 0). Factor -2/13*m - p*m**2 + 0.
-2*m*(m + 1)/13
Let t(o) be the first derivative of o**5/25 + o**4/4 - o**3/15 - o**2/2 + 54. Find q such that t(q) = 0.
-5, -1, 0, 1
Suppose -4*h - 3*r + 14 = 0, 2*h + 154 = -r + 160. Solve 0 + h*l - 2/3*l**2 = 0.
0, 3
Let y(b) be the first derivative of 6/7*b**2 + 25 + 9/7*b + 1/7*b**3. Factor y(p).
3*(p + 1)*(p + 3)/7
Let o(u) = -12*u**2 - 978*u - 80685. Let h(r) = 15*r**2 + 976*r + 80684. Let i(b) = 3*h(b) + 4*o(b). Factor i(d).
-3*(d + 164)**2
Let b(y) = -y + 12. Let q be b(8). Let s be (-3)/(-4) + (-42)/(-24). Find d, given that d + 2*d**3 + 1/2*d**q + s*d**2 + 0 = 0.
-2, -1, 0
Let a(v) be the first derivative of -v**6/120 + v**5/12 - v**4/3 + 2*v**3/3 - 3*v**2 + 11. Let n(h) be the second derivative of a(h). Solve n(g) = 0.
1, 2
Let r(f) be the third derivative of -9*f**7/70 - f**6/10 + 9*f**5/20 + f**4/2 - 3*f**2 + 12. What is s in r(s) = 0?
-1, -4/9, 0, 1
Let m(o) be the third derivative of -o**6/6 + o**5 + 105*o**4/8 + 45*o**3 + 554*o**2. Factor m(i).
-5*(i - 6)*(2*i + 3)**2
Let w be (-6 - -5)/(2/28). Let m be (6/w)/((-22)/77). Factor -3/4*o**3 + 0 - m*o + 9/4*o**2.
-3*o*(o - 2)*(o - 1)/4
Let c be ((-2888)/(-380) + (-4)/(-10))/2. Solve 8/11*z + 0 + 60/11*z**c + 50/11*z**5 - 2*z**3 - 24/11*z**2 = 0 for z.
-1, 0, 2/5
Let l = 331/95 + -51/19. Determine i, given that 1/5*i**3 + 9/5*i + 6/5*i**2 + l = 0.
-4, -1
Let u(w) be the first derivative of -3*w**5/5 + 33*w**4/4 + 81. Factor u(r).
-3*r**3*(r - 11)
Let l be (0 + 2 - 9/3) + 3. Determine c, given that -5 + 4*c**2 + l*c**2 - c**2 = 0.
-1, 1
Let z(x) = 2*x**2 + 1 + 4*x + x - 1 - 3. Let n(k) = -4*k**2 + 4*k**2 + 2 + 3*k**2 - 4*k**2 - 4*k. Let v(r) = 3*n(r) + 2*z(r). Solve v(p) = 0.
0, 2
Let c(q) be the first derivative of q**6/6 - 2*q**5 + 33*q**4/4 - 12*q**3 + 132. Factor c(p).
p**2*(p - 4)*(p - 3)**2
Let y(d) be the third derivative of -4/27*d**3 + 0 + 1/90*d**5 - 1/135*d**6 + 0*d + 1/945*d**7 - 9*d**2 + 1/27*d**4. What is s in y(s) = 0?
-1, 1, 2
Determine b, given that -4*b**3 - 8*b - 14*b + 0*b**3 + 8 + 10*b**2 + 8*b**3 = 0.
-4, 1/2, 1
Let n(l) be the third derivative of l**8/168 + l**7/105 - 3*l**6/20 - l**5/6 + 4*l**4/3 + 4*l**3 - 35*l**2 - 2*l. Find q, given that n(q) = 0.
-3, -1, 2
Let m = 759 - 757. Let n(d) be the third derivative of 0*d + 0 - 1/30*d**6 + 1/6*d**4 + 7*d**m + 1/6*d**3 - 1/60*d**5. What is x in n(x) = 0?
-1, -1/4, 1
Let u(r) = r**3 - r**2 - r - 1. Let t(n) = 10*n**3 - 66*n**2 - 70*n - 6. Let w(q) = t(q) - 6*u(q). Factor w(h).
4*h*(h - 16)*(h + 1)
Let x(u) be the third derivative of u**7/210 + 67*u**6/480 - 337*u**5/240 + 13*u**4/3 - 7*u**3/2 + 225*u**2. Let x(o) = 0. Calculate o.
-21, 1/4, 2
Let p(w) be the second derivative of -w**7/210 - w**6/50 + w**5/100 + w**4/20 + 666*w. Let p(u) = 0. What is u?
-3, -1, 0, 1
Let o be (0 - 16/(-36))/(196/126). Solve o*j**3 + 2/7 - 2/7*j**2 - 2/7*j = 0 for j.
-1, 1
Let p = -63 + 65. Factor -z**p - 24 - 8 - 21 - 28 + 18*z.
-(z - 9)**2
Let s(y) be the first derivative of -5*y**4/4 - 145*y**3/12 - 235*y**2/8 - 25*y/2 + 242. Factor s(h).
-5*(h + 2)*(h + 5)*(4*h + 1)/4
Let x(g) be the first derivative of 4*g**3/21 - 6*g**2/7 - 72*g/7 - 79. Factor x(a).
4*(a - 6)*(a + 3)/7
Let i(s) be the first derivative of s**6/21 + 4*s**5/35 + s**4/14 - 54. Factor i(a).
2*a**3*(a + 1)**2/7
Suppose 0 = 11*i - 7*i + 4*s + 4, -3*s - 9 = 0. Suppose 5*a - n = -2, 0*n + 4 = -a + 2*n. Factor a + 1/3*y**4 + 0*y + 1/3*y**5 - 1/3*y**3 - 1/3*y**i.
y**2*(y - 1)*(y + 1)**2/3
Suppose 17 = -4*y - x + 2*x, -5*y - 15 = 5*x. Let h = 6 + y. Factor -h*q - 2*q**3 + 3*q**3 + 2*q.
q**3
Let o = -4763/2 + 2384. F