(2*x - 1)**2/6
Let q = -11167 + 33509/3. Find x such that 16/9*x - q - 2/9*x**2 = 0.
2, 6
Let l(c) = -c**4 - 2*c**2 + c. Let w(f) = 40*f**3 + 28*f**2 + 4*f. Let z(v) = 4*l(v) - w(v). Solve z(k) = 0.
-9, -1, 0
Let 3*a - 12/5*a**2 + 3/5*a**3 - 6/5 = 0. What is a?
1, 2
Let i(h) be the first derivative of -3*h**5/10 + 3*h**4 + 5*h**3 - 6*h**2 - 27*h/2 - 780. Find a, given that i(a) = 0.
-1, 1, 9
Find j, given that -2/7*j**5 - 256/7*j**2 + 256/7 - 96/7*j + 14*j**3 + 0*j**4 = 0.
-8, -1, 1, 4
Suppose 0 = h - s - 7, 0 = 2*h - 4*s - 9 - 9. Let u be h + -2 - 1/1. Solve -2*l**u - l**3 - 4*l + 4*l + l**4 = 0 for l.
-1, 0, 2
Suppose -26*t**3 - 6*t**2 - 2 - 4 - 7*t - 4*t + 13*t**3 + 12*t**3 = 0. Calculate t.
-3, -2, -1
Let v(d) be the third derivative of 1/210*d**7 - 1/24*d**4 + 0*d - 1/40*d**6 + 0 + 16*d**2 + 0*d**3 + 1/20*d**5. Let v(u) = 0. Calculate u.
0, 1
Let a = 130 - 117. Suppose a + 21 = 17*l. Let 0 + 4/5*m**l - 2/5*m**3 - 2/5*m = 0. What is m?
0, 1
Let y(q) = -7*q**2 + 40*q - 16. Let p(n) be the second derivative of 7*n**4/12 - 41*n**3/6 + 15*n**2/2 - 18*n - 2. Let k(j) = 4*p(j) + 3*y(j). Solve k(g) = 0.
2/7, 6
Let o(b) be the third derivative of -b**8/168 + 3*b**7/35 - b**6/6 - b**5 + 11*b**4/12 + 7*b**3 - 166*b**2. Let o(w) = 0. Calculate w.
-1, 1, 3, 7
Suppose 24/17 - 8/17*n - 2/17*n**2 = 0. Calculate n.
-6, 2
Let n(g) be the third derivative of g**8/20160 - g**7/2520 - 4*g**5/15 + 35*g**2. Let c(y) be the third derivative of n(y). Determine b so that c(b) = 0.
0, 2
Let l(p) = -7*p**3 - 4*p**2 - 51*p + 138. Let u(n) = 8*n**3 + 2*n**2 + 52*n - 134. Let a(b) = 7*l(b) + 6*u(b). Factor a(q).
-(q - 2)*(q + 9)**2
Let w(l) be the third derivative of -l**5/12 + 15*l**3/2 - 121*l**2. Factor w(t).
-5*(t - 3)*(t + 3)
Let p be (-5 - (-309)/45) + (-32)/40. Find r, given that 34/15*r + p + 4/3*r**2 + 2/15*r**3 = 0.
-8, -1
Let b(f) = -f**3 + 49*f**2 + 120*f - 186. Let j(y) = 15*y**3 - 685*y**2 - 1680*y + 2605. Let g = 195 + -280. Let k(o) = g*b(o) - 6*j(o). Factor k(x).
-5*(x - 1)*(x + 6)**2
Let v(s) be the third derivative of -s**5/60 + s**4/3 + s**3/3 - 7*s**2. Let g be v(8). Find c such that 2*c**2 + 8*c - 8 + 8*c + 2*c**3 + 0*c - 12*c**g = 0.
1, 2
Let q(y) be the third derivative of 0*y**4 - 3/80*y**6 - y**2 + 0*y + 0*y**3 + 1/224*y**8 + 26 - 1/20*y**5 + 0*y**7. Suppose q(r) = 0. What is r?
-1, 0, 2
Let r be -3 - 5*(15 + -4). Let u = -58 - r. Solve u*d**2 + 1/3*d**3 + 2/3 - d = 0 for d.
-2, 1
Let z(f) be the second derivative of 49*f**6/6 + 7*f**5 - 75*f**4/4 - 70*f**3/3 - 10*f**2 + 2*f + 7. Let z(l) = 0. What is l?
-1, -2/7, 1
Let z(y) be the third derivative of -2*y**7/105 - y**6/10 + y**5/15 + y**4/2 - 109*y**2. Suppose z(q) = 0. Calculate q.
-3, -1, 0, 1
Find j such that -j**3 + 8/3*j**2 - 2 + 5/3*j = 0.
-1, 2/3, 3
Let w(c) be the third derivative of -c**6/30 - 2*c**2 - 231*c. Factor w(s).
-4*s**3
Let 10/21*u**2 + 2/21*u**4 - 10/21*u + 10/21*u**3 - 4/7 = 0. What is u?
-3, -2, -1, 1
Let r = -241 - -245. Let n(h) be the first derivative of -3/4*h**2 + 2 + 3/10*h**5 + 3/8*h**r + 3*h - 3/2*h**3. Factor n(f).
3*(f - 1)**2*(f + 1)*(f + 2)/2
Let t(c) = 4*c**2 + 9*c - 30. Let r(d) = d**2 + d - 1. Let p(s) = -3*r(s) + t(s). Factor p(u).
(u - 3)*(u + 9)
Let b(h) = 52*h + 2184. Let m be b(-42). Suppose -2/13*x**3 + 2/13*x + m*x**2 + 0 = 0. Calculate x.
-1, 0, 1
Let c be 51 - ((-3)/(-3) + 2). Let i be 4/(-6) + c/18. Let 6*p**2 + 1 - 3 - 14*p**i - 10*p = 0. What is p?
-1, -1/4
Suppose -53*u + 56*u = 6. Factor -u - 1/2*j**4 - 2*j + j**3 + 3/2*j**2.
-(j - 2)**2*(j + 1)**2/2
Let l = -29 - -32. Factor 8*p**l + 0*p**5 - 6*p**5 + 4*p**5 - 12*p**4 + 6*p**5.
4*p**3*(p - 2)*(p - 1)
Factor 2615/3*h**3 - 215/3*h**4 - 2000/3 - 6605/3*h**2 + 5/3*h**5 + 6200/3*h.
5*(h - 20)**2*(h - 1)**3/3
Let d(y) be the first derivative of -10 - 2/15*y**3 + 2/5*y**2 + 6/5*y. Factor d(q).
-2*(q - 3)*(q + 1)/5
Let i be (-10)/36 + 28/(-70)*(-5)/4. What is x in 4/9*x + 0 + i*x**2 = 0?
-2, 0
Factor 27*a - 21*a**2 + 18*a**2 - 11*a + 23*a.
-3*a*(a - 13)
Let z(v) be the first derivative of 3*v**5/5 + 3*v**4/4 - v**3/2 - 17*v - 44. Let u(r) be the first derivative of z(r). Factor u(b).
3*b*(b + 1)*(4*b - 1)
Factor -1/5*l**2 + 0*l + 1/5.
-(l - 1)*(l + 1)/5
Let n(y) be the second derivative of -y**8/336 + 3*y**7/280 - y**6/80 + y**5/240 + 6*y**2 + 5*y. Let h(v) be the first derivative of n(v). Solve h(c) = 0 for c.
0, 1/4, 1
Let f(l) be the first derivative of 5*l**4/14 - 2*l**3/7 - 2*l**2/7 - 15. Solve f(c) = 0.
-2/5, 0, 1
Let t(f) be the second derivative of -11/4*f**5 + 24*f + 0 - 3/2*f**6 - 5/6*f**4 + 0*f**2 + 0*f**3. Factor t(g).
-5*g**2*(g + 1)*(9*g + 2)
Let g(h) = -5*h**2 + h + 1. Let q(o) = -6 + 6 - 6*o**2 + 2. Suppose 0 = -y - y - 6. Let v(i) = y*q(i) + 4*g(i). Factor v(w).
-2*(w - 1)**2
Let t(g) = 2*g**2 + 4*g - 12. Let a be t(3). Suppose -3*b = -a*b + 30. Determine d so that 3/4*d - 3/2 + 3/2*d**b - 3/4*d**3 = 0.
-1, 1, 2
Factor -75 - 30*a - 5/3*a**2.
-5*(a + 3)*(a + 15)/3
Let t(u) = 27*u**3 + 33*u**2 - 40*u - 4. Let i(s) = 53*s**3 + 64*s**2 - 81*s - 8. Let w(d) = -4*i(d) + 7*t(d). What is x in w(x) = 0?
-2, -2/23, 1
Let t be (4/6)/((-1)/3). Let l be t*(2/3 + 152/(-192)). Factor -5/4*v - l*v**3 + 1/2 + v**2.
-(v - 2)*(v - 1)**2/4
Let d(o) be the third derivative of 7*o**5/60 - 5*o**4/12 + 8*o**2. Let p(v) = 6*v**2 - 9*v. Let b(j) = -3*d(j) + 4*p(j). Factor b(l).
3*l*(l - 2)
Let t(g) = -g + 1. Let u(a) = 2*a**2 + 9*a - 16. Let j(r) = r**2 + 4*r - 8. Let h(p) = -10*j(p) + 6*u(p). Let y(n) = -h(n) - 6*t(n). Factor y(o).
-2*(o - 1)*(o + 5)
Factor -3/2*g - 3*g**2 + 5 - 1/2*g**3.
-(g - 1)*(g + 2)*(g + 5)/2
Let p = 1064 - 1061. Find r such that 2/7*r**p - 2/7*r**4 + 0 - 2/7*r + 2/7*r**2 = 0.
-1, 0, 1
Suppose 10*o + 302 = 352. Let v(q) be the first derivative of 1/2*q**3 + 0*q**4 + 12 - 3/20*q**o + 0*q**2 - 3/4*q. Factor v(g).
-3*(g - 1)**2*(g + 1)**2/4
Let c = -739207/1118 + 18890/43. Let b = -441/2 - c. Let -2/13*g**2 - b - 12/13*g = 0. What is g?
-3
Let u(z) = -9*z**3 - 29*z**2 - 59*z - 32. Let n(h) = -4*h**3 - 15*h**2 - 30*h - 16. Let w(d) = 7*n(d) - 3*u(d). Suppose w(f) = 0. What is f?
-16, -1
Let x(v) be the third derivative of v**8/504 + 2*v**7/63 + 37*v**6/180 + 2*v**5/3 + v**4 + v**2 + 19. Suppose x(p) = 0. Calculate p.
-3, -2, 0
Let c(n) = -537*n + 2. Let i be c(0). Let -2/7*b**i + 4/7*b + 16/7 = 0. Calculate b.
-2, 4
Let 24*v - 18*v**2 + 24 + 20*v + 46*v + v + 13*v = 0. What is v?
-2/9, 6
Suppose 48*p = -2*p + 100. Let z(u) be the first derivative of 4/21*u**3 - 8/7*u - 2/7*u**p + 10. What is v in z(v) = 0?
-1, 2
Let f(l) be the first derivative of -4/7*l**3 + 4/7*l**2 + 0*l**4 + 0*l + 4/35*l**5 - 1. Determine o, given that f(o) = 0.
-2, 0, 1
Let w(v) = -5*v - 1 - 166*v**2 + 173*v**2 - 8. Let h(y) = 64*y**2 - 44*y - 80. Let a(n) = -3*h(n) + 28*w(n). Find f such that a(f) = 0.
-1, 3
Suppose -5*t = k - 12, 12 = k + 4*t - 0. Let -k*w**4 - 11*w**4 + 38*w**4 - 16*w**4 - w**2 - 2*w**3 = 0. What is w?
-1, 0
Let -17*u - 5*u**2 - 70*u + 10*u**2 + 7*u = 0. What is u?
0, 16
Let q(y) = -16*y**2 - 10*y. Let c(z) = 3*z**2 + 2*z. Let j = -13 + 9. Let s(i) = -i - 17. Let v be s(5). Let u(x) = j*q(x) + v*c(x). Factor u(p).
-2*p*(p + 2)
Let r = -244 - -423. Factor -5*s**4 - r*s**3 - 5*s**4 + 175*s**3.
-2*s**3*(5*s + 2)
Suppose 4*u - 47 = -d, 0 = 4*u - 9*u - 4*d + 45. Factor -u*h - 9*h**4 + h**4 + h + 9*h**3 + 5*h**4.
-3*h*(h - 2)**2*(h + 1)
Suppose -4*z + 20 = 0, 0 = -3*i + 5*z - 28 + 3. Suppose 4*b**4 + 8*b**3 + 6*b**2 - 4*b - 10*b**2 + i*b - 4*b**3 = 0. What is b?
-1, 0, 1
Let f be 5 - (0/(-2) + 0)/3. Let q(t) be the third derivative of 0 + 0*t + 1/12*t**4 + 0*t**3 + 5*t**2 + 1/60*t**f. Let q(g) = 0. What is g?
-2, 0
Let a(j) = -78*j - 6. Let o be a(-1). Let w = o + -70. Find i, given that 3/2*i**5 + 0 + 2*i + 0*i**w - 9/2*i**3 - i**4 = 0.
-1, 0, 2/3, 2
Let r(m) = 3*m**3 - 24*m**2 + 27*m - 24. Let q(v) = 6*v**3 - 47*v**2 + 54*v - 46. Let y(i) = 6*q(i) - 11*r(i). Factor y(a).
3*(a - 4)*(a - 1)**2
Factor 9*n**3 + 27*n**3 - 11*n**3 - 14 - 142*n - 3*n + 210*n**2 - 76.
5*(n - 1)*(n + 9)*(5*n + 2)
Suppose -5*q - 25 = 0, 6*s - 3*s = -q + 10. Determine l so that 7370*l**3 + 2575*l**2 + 966*l**4 - 180 + 1269*l**4 - 420*l + 75*l**s + 105*l**5 = 0.
-6, -1/3, 1/4
Let x(m) = 7*m + 21. Let a be 0 + -3 - (-36 + 36)