*k/7 - 279. What is t in o(t) = 0?
-2, 2, 4, 5
Suppose 0 = 18*b + 10 - 46. Let q be 0/(4 + b/(2/(-2))). Let q + 2/7*l - 1/7*l**2 = 0. What is l?
0, 2
Let y be -6 + 7 + (6 - 2). Suppose -3*g + 2 = k, -2*g + k - 12 = y*k. Factor -3*h - 6 + 6*h**2 + h**2 + 3*h**3 - h**g.
3*(h - 1)*(h + 1)*(h + 2)
Let i(r) be the second derivative of -r**6/50 + 3*r**5/50 + 3*r**4/20 - 2*r - 19. Determine y, given that i(y) = 0.
-1, 0, 3
Let q(u) be the third derivative of -15*u**2 + 0 - 1/30*u**6 - 5/6*u**4 + 0*u + 2/5*u**5 + 0*u**3. Factor q(d).
-4*d*(d - 5)*(d - 1)
Determine c so that -36*c + 540 + 3/5*c**2 = 0.
30
Let u(x) be the second derivative of -x**4/36 - 4*x**3/9 + 8*x**2 - 163*x. Factor u(g).
-(g - 4)*(g + 12)/3
Let d(q) be the first derivative of 8*q**3/3 - 12*q**2 - 26*q - 44. Let n(o) = -o**2. Let x(u) = d(u) + 6*n(u). Let x(s) = 0. Calculate s.
-1, 13
Let i = 1265 + -1262. Find s, given that 0 - 2/9*s**2 + 2/9*s**i + 0*s = 0.
0, 1
Determine s so that -7*s**4 + 9*s**3 - 10*s**4 + 9*s**5 - 2*s**4 - 5*s**4 + 6*s**2 = 0.
-1/3, 0, 1, 2
Suppose 13/6*j + 4/3*j**2 + 1/6*j**3 + 1 = 0. Calculate j.
-6, -1
Let o(i) be the second derivative of -3*i**5/20 - 11*i**4/2 + 47*i**3/2 - 36*i**2 + 157*i. Factor o(q).
-3*(q - 1)**2*(q + 24)
Suppose 0 = 4*c + 4*n + 4, 0 = -3*c + c + 2*n - 14. Let s be (-8)/16*1/c. Factor 1/2*d - 1/2*d**3 + 1/8*d**2 - s.
-(d - 1)*(d + 1)*(4*d - 1)/8
Solve -3/2*t**2 + 39/2*t + 21 = 0 for t.
-1, 14
Let l(z) be the second derivative of -2*z + 0 - 2/15*z**6 + 0*z**5 + 0*z**3 + 0*z**2 + 0*z**4. Factor l(d).
-4*d**4
Suppose 2*l - b = -128, -3*l + b - 187 = 2*b. Let q be 1/(-3) + l/(-27). Solve 0 - 1/5*t - 1/5*t**q + 1/5*t**3 + 1/5*t**4 = 0.
-1, 0, 1
Let v(q) = -2*q**3 - q**2. Let m(k) = -10*k**3 - 12*k**2 - 10*k - 4. Let a(y) = m(y) - 4*v(y). Suppose a(z) = 0. Calculate z.
-2, -1
Suppose 18*i - 16*i = 36. Let k be 12/10*i/297*30. Factor k*t**2 + 8/11*t**3 + 18/11*t + 4/11.
2*(t + 2)*(2*t + 1)**2/11
Factor -40*t - 12 + 5*t**2 - t**2 - 20 - 12.
4*(t - 11)*(t + 1)
Let q(g) be the second derivative of -1/24*g**4 + 1/12*g**3 - 15*g + 1/4*g**2 + 0 - 1/40*g**5. Suppose q(n) = 0. Calculate n.
-1, 1
Let y(r) be the first derivative of -r**4 - 24*r**3 - 66*r**2 - 64*r - 15. Factor y(i).
-4*(i + 1)**2*(i + 16)
Factor 2/9*p**3 + 0 + 2*p + 20/9*p**2.
2*p*(p + 1)*(p + 9)/9
Let p be ((-9)/12)/(1/(-4)). Suppose -p*m + 3 = -3. Factor 4*k**3 + 4*k**4 - 5*k**2 + 12*k - 16*k**2 + k**m.
4*k*(k - 1)**2*(k + 3)
Let w(d) be the second derivative of d**6/70 - 3*d**5/14 + 9*d**4/7 - 27*d**3/7 + 81*d**2/14 - 4*d - 16. Factor w(j).
3*(j - 3)**3*(j - 1)/7
Find q, given that -2/5*q**2 + 0 - 68/5*q = 0.
-34, 0
Suppose 2*a - 4*w + 44 = -726, -384 = a - 3*w. Let z = a + 3487/9. Factor 2/3 + z*q - 2/9*q**2.
-2*(q - 3)*(q + 1)/9
Let h(f) be the first derivative of -16*f**4 - 32*f**3 + 30*f**2 - 8*f - 19. Factor h(m).
-4*(m + 2)*(4*m - 1)**2
Suppose 3*f - 5*r - 6 = 0, 0 = -2*r - 0*r. Suppose 4*v + 15 = -5*c, 0 = -3*c - f*c - 3*v - 10. Factor -c + 0*k + 3/4*k**2 - 1/4*k**3.
-(k - 2)**2*(k + 1)/4
Determine z, given that -10*z**4 + 4*z**2 + 0 - 98/9*z**3 + 16/9*z + 28/9*z**5 = 0.
-1, -2/7, 0, 1/2, 4
Let k(l) be the second derivative of -1/294*l**7 + 0 - 1/42*l**4 + 23*l + 0*l**3 + 1/105*l**6 + 0*l**2 + 1/140*l**5. Find r such that k(r) = 0.
-1, 0, 1, 2
What is k in 3*k**2 - 4808*k + 2355*k + 972 + 2345*k = 0?
18
Let o(s) = -3*s**3 - 51*s**2 + 111*s - 57. Let c(a) = -9*a**3 - 153*a**2 + 333*a - 171. Let m(l) = 2*c(l) - 7*o(l). Factor m(n).
3*(n - 1)**2*(n + 19)
Let b be ((-27)/297)/(16/(-44)). Let r(l) be the second derivative of 5/3*l**3 + 5/4*l**4 - 14*l + 0*l**2 + b*l**5 + 0. Factor r(o).
5*o*(o + 1)*(o + 2)
Suppose -6*q + 8 = -2*q. Solve 10*z - 6 - 25*z + 20*z**2 + 31*z**q - 30*z = 0.
-2/17, 1
Let o(h) be the second derivative of h**6/6 + 21*h**5/4 - 4*h - 54. Determine y so that o(y) = 0.
-21, 0
Let i(m) be the third derivative of 0 + 0*m + 1/9*m**4 - 1/180*m**5 + 17*m**2 - 7/18*m**3. What is c in i(c) = 0?
1, 7
Let d be (-1)/(-3)*3*(9 + -3). Find v, given that d*v**3 - 2*v**3 + 3*v**4 - 2*v**5 - 2*v**2 - 2*v**3 - v**4 = 0.
-1, 0, 1
Let d = 15 - -46. Solve -192 + d*k - 57*k**2 + 54*k**2 - 13*k = 0 for k.
8
Let u(a) = -9*a**2 - 53*a - 10. Let b(f) = -28*f**2 - 160*f - 28. Let x(k) = -6*b(k) + 20*u(k). Factor x(c).
-4*(c + 8)*(3*c + 1)
Find m such that -24/7 - 2/7*m**2 + 16/7*m = 0.
2, 6
Factor 2/3*f**2 + 4 + 14/3*f.
2*(f + 1)*(f + 6)/3
Let i(v) be the first derivative of -1/17*v**2 + 2/17*v - 2/51*v**3 - 31 + 1/34*v**4. Find q such that i(q) = 0.
-1, 1
Suppose 0 = -q + 4*z + 3, 4*z = 2*q - 5*q + 41. Suppose q*j + 42 = 25*j. Let 2/3*h**4 + 8/3 + 26/3*h**2 + 4*h**j + 8*h = 0. What is h?
-2, -1
Factor 45/2 + 15/4*u - 5*u**2 - 5/4*u**3.
-5*(u - 2)*(u + 3)**2/4
Let c(b) be the first derivative of -50*b**6/21 + 16*b**5/7 + 19*b**4/28 + b**3/21 - 67. Factor c(t).
-t**2*(t - 1)*(10*t + 1)**2/7
Let h(f) be the third derivative of 0*f - 8/3*f**3 + 5/6*f**4 - 8*f**2 - 1/15*f**5 + 0. Find z, given that h(z) = 0.
1, 4
Let f be 33/(-6)*(224/(-44) - -5). Factor 0*c + 3/2*c**2 + 0 + f*c**3.
c**2*(c + 3)/2
Let l = 39 - 35. Suppose -4 = 3*q + h - 2, 16 = -4*q - l*h. Factor 3/2*i - q - 1/2*i**2.
-(i - 2)*(i - 1)/2
Let s = -2146 - -2148. Determine b so that 0 + 15*b**3 + 5/3*b**5 + 25/3*b**4 + 35/3*b**s + 10/3*b = 0.
-2, -1, 0
Let c(r) be the third derivative of r**5/20 - 25*r**4/2 + 1250*r**3 + 253*r**2. Solve c(q) = 0.
50
Let l(i) be the first derivative of -i**7/168 + i**6/36 - 16*i**3/3 + 34. Let b(v) be the third derivative of l(v). Find x, given that b(x) = 0.
0, 2
Find x such that 6*x + 1/2*x**2 - 2 + 3/2*x**4 + 5/2*x**5 - 17/2*x**3 = 0.
-2, -1, 2/5, 1
Let a(h) be the first derivative of h**4/20 - h**3/5 - h - 11. Let d(w) be the first derivative of a(w). Factor d(t).
3*t*(t - 2)/5
Let w(y) be the second derivative of 3*y**5/100 - 519*y**4/20 + 89787*y**3/10 - 15533151*y**2/10 + 120*y. Let w(z) = 0. Calculate z.
173
Let p = -44/31 - -295/186. Let l(g) be the third derivative of -12*g**2 + 4/3*g**3 + 0 + p*g**4 + 0*g - 1/30*g**5 - 1/120*g**6. Solve l(u) = 0 for u.
-2, 2
Let l(u) be the third derivative of -u**8/840 - 41*u**7/525 - 22*u**6/15 - 8*u**5/3 + 44*u**2. Factor l(y).
-2*y**2*(y + 1)*(y + 20)**2/5
Let y(w) = -w**3 - 9*w**2 - 14*w - 44. Let x be y(-8). Let h(a) be the first derivative of 0*a - 1/12*a**3 - x - 1/8*a**2. Factor h(d).
-d*(d + 1)/4
Let v = -31 + 35. Suppose v*d - 15 = t, 5*d - 2*t = -0*d + 15. Factor 6 + 6 - 17 - d*a**2 + 10*a.
-5*(a - 1)**2
Let s(k) = -k**2. Let m be 2/(-4) - (-161)/(-14). Let o(t) = 14*t**2 + 8*t + 8. Let j(u) = m*s(u) - o(u). Factor j(g).
-2*(g + 2)**2
Suppose 2532 + 528 = -17*m. Let x be 908/21 - -10*12/m. Suppose x*k**2 - 222/7*k + 36/7 - 130/7*k**3 + 18/7*k**4 = 0. What is k?
2/9, 1, 3
Let s(t) = t**5 + t**4 - t**2. Let p(u) = 16*u**5 + 20*u**4 - 28*u**3 + 4*u**2. Let r(g) = -p(g) + 12*s(g). Determine q, given that r(q) = 0.
-4, 0, 1
Let z(d) = -d**3 + 9*d**2 - d + 11. Let t be z(9). Let y be (10 - (-2 + (-3)/3)) + 1. Factor -11*c**2 - 10*c**3 + 8 - 4*c + 3*c**t + y*c**3.
4*(c - 2)*(c - 1)*(c + 1)
Let o = -16 - -22. Let q(p) = 2*p - 234 + 233 - 2*p + 7*p**2. Let a(y) = 6*y**2 - 1. Let f(m) = o*a(m) - 5*q(m). What is w in f(w) = 0?
-1, 1
Let z(p) = -3*p**3 + 12*p**2 + 2*p + 7. Let b(m) = -2*m**3 + 11*m**2 + 3*m + 6. Suppose -2*w = -w + 4. Let n(x) = w*z(x) + 5*b(x). Factor n(a).
(a + 1)*(a + 2)*(2*a + 1)
Let i = 65 + -63. Factor -u + 1/3 - 1/3*u**3 + u**i.
-(u - 1)**3/3
Let r be (-38)/(-150) - 168/(-2100). Factor 11/3*p**2 + 13/3 - 25/3*p + r*p**3.
(p - 1)**2*(p + 13)/3
Suppose 3 + 346*c**3 - 36*c - 10*c**4 + 57*c**2 + 13*c**4 - 370*c**3 - 3 = 0. What is c?
0, 1, 3, 4
Let d(n) = 5*n**2 + 35*n - 38. Let i(s) = -21*s**2 - 141*s + 153. Let f(t) = 9*d(t) + 2*i(t). Solve f(p) = 0.
-12, 1
Let h be (45/63)/5*-30*24/(-10). Let h*a**4 + 0*a - 24/7*a**3 + 0 + 2/7*a**2 = 0. Calculate a.
0, 1/6
Let p(b) be the first derivative of -5*b**6/6 + 3*b**5 - 5*b**4/4 - 5*b**3 + 5*b**2 - 24. Determine u so that p(u) = 0.
-1, 0, 1, 2
Let o = 18 - 11. Let m be 30/o + (-8)/28. Factor -14*q**4 - 2*q**3 + 6*q**4 + 1 + 7*q**m + q + q.
-(q - 1)*(q + 1)**3
Let s = -17 + 21. Solve 0*q - 3*q**2 + 2*q**2 - 3*q + s*q = 0.
0, 1
Let f(u) be the first derivative of 4*u**3/3 + 204*u*