Let i = -12 + p. Let -2/11*x**2 + i - 2/11*x**3 + 4/11*x = 0. Calculate x.
-2, 0, 1
Suppose 0 = -16*j + 20*j - 80. Let b be j/12*36/80. Find y such that 0 + 3/2*y**2 - b*y**5 - 3/2*y**4 + 0*y**3 + 3/4*y = 0.
-1, 0, 1
Let u(k) be the second derivative of 9*k + 1/50*k**5 + 0 + 4/15*k**3 - 2/15*k**4 + 0*k**2. Find r such that u(r) = 0.
0, 2
Determine i, given that -2/3*i**2 + 82/3 - 80/3*i = 0.
-41, 1
Let b = -111 + 335/3. Let o(m) = 2*m - 6. Let j be o(4). What is n in b*n + 0 - n**j = 0?
0, 2/3
Let b(g) be the first derivative of g**7/147 - 4*g**6/105 + g**5/14 - g**4/21 - 10*g + 5. Let m(f) be the first derivative of b(f). Factor m(p).
2*p**2*(p - 2)*(p - 1)**2/7
Suppose -2*c - 2*p = -3*c + 10, 3*p = -4*c + 29. Factor 528*s + 192 + 516*s**2 + 19*s**4 + 15*s**4 + 3*s**5 + c*s**4 + 219*s**3.
3*(s + 1)**2*(s + 4)**3
Let h(q) be the third derivative of -q**7/13860 + q**6/990 - q**5/165 + 5*q**4/24 + 13*q**2. Let l(i) be the second derivative of h(i). Factor l(s).
-2*(s - 2)**2/11
Determine f so that -4*f + f**2 + 2*f**2 + f**3 - 36 - 23 + 47 = 0.
-3, -2, 2
Let g = -1362 + 1366. Let o(p) be the first derivative of -1 - 1/8*p**g + 2*p + 5/6*p**3 - 2*p**2. Factor o(t).
-(t - 2)**2*(t - 1)/2
Let g be (1/(-15))/((-214 - -215)/(2 - 7)). Solve -g*r**3 + 5/3*r + 1 + 1/3*r**2 = 0 for r.
-1, 3
Suppose 90*b - 32 = 86*b. Suppose 62*l = 58*l + b. Factor 3/8*h - 1/8*h**3 + 0*h**l - 1/4.
-(h - 1)**2*(h + 2)/8
Factor 4*z**4 + 32 + 160*z + 168*z**2 + 67*z**3 - 3*z**3 + 20.
4*(z + 1)**3*(z + 13)
Suppose 0 = 566*m - 558*m - 16. Let v = 183/110 - -3/22. Factor -v*x**m + 0*x + 12/5 - 3/5*x**3.
-3*(x - 1)*(x + 2)**2/5
Let j(g) be the first derivative of -g**4/2 + 10*g**3/3 + g**2 - 10*g + 360. Find w, given that j(w) = 0.
-1, 1, 5
Let k = -7 + 11. Factor 9*u**2 - 2*u**2 - 3*u**2 + k*u**3 - 8*u + 0*u**3.
4*u*(u - 1)*(u + 2)
Let g be 3 + -7 + (-699)/(-3). Let t = g - 1601/7. Factor -2/7*l + t*l**3 + 2/7 - 2/7*l**2.
2*(l - 1)**2*(l + 1)/7
Let h be (-4)/4 - 0 - 3. Let k(u) = u**2 + u. Let i be k(h). Solve -119*n**2 - 28*n**2 + 15*n + 69*n - i = 0.
2/7
Let h(j) be the third derivative of j**8/2240 + j**7/336 + j**6/120 - 13*j**5/20 + 9*j**2. Let y(r) be the third derivative of h(r). Factor y(g).
3*(g + 1)*(3*g + 2)
Find o, given that -75*o**2 - 28*o**4 + 15*o - 9*o**5 - 20*o**4 - 74*o**2 - 6*o**3 + 197*o**2 = 0.
-5, -1, -1/3, 0, 1
Let g(k) = k**4 - k**2 + 1. Let s(i) = -29*i**4 - 132*i - 4*i**5 + 60 + 160*i**2 + 60*i**4 + 29*i**4 - 120*i**3. Let q(z) = -24*g(z) + s(z). Factor q(f).
-4*(f - 3)**2*(f - 1)**3
Determine a so that 2*a**4 - 8/5 - 2/5*a**2 - 16/5*a + 14/5*a**3 + 2/5*a**5 = 0.
-2, -1, 1
Let m be (-4318)/(-19558) + (-2)/(-14). Factor 6/11*w + m + 2/11*w**2.
2*(w + 1)*(w + 2)/11
Solve 8 - 1/2*f**3 + 11/2*f**2 - 13*f = 0 for f.
1, 2, 8
Let b(j) be the first derivative of 3*j**4/8 + 3*j**3/2 - 3*j**2/4 - 9*j/2 + 15. Factor b(s).
3*(s - 1)*(s + 1)*(s + 3)/2
Let c(n) = 205 - 7*n - 73 + 8*n + 9*n. Let t be c(-13). Find z such that -1/4*z + 1/4*z**3 - 3/4*z**4 + 3/4*z**t + 0 = 0.
-1, 0, 1/3, 1
Let t = -4807/2 + 2405. Solve 0 - 1/2*g**5 + t*g**4 - 3/2*g**3 + 0*g + 1/2*g**2 = 0 for g.
0, 1
Let b(q) be the third derivative of -1/4*q**5 + 0 - 5*q**2 + q**3 + 0*q - 7/8*q**4 + 1/10*q**6. Factor b(d).
3*(d - 2)*(d + 1)*(4*d - 1)
Factor 18*k**2 + 168 - 2*k**2 - 81*k**2 + 175*k + 77 + 5*k**3.
5*(k - 7)**2*(k + 1)
Let l be (4/6)/((-52)/(-234)). Factor 4*b**2 + 4*b**2 - 5*b**2 + l*b - 2*b**2.
b*(b + 3)
Let h be 3 + 859/(-280) + 2/14. Let f(l) be the second derivative of 0*l**3 + 0*l**2 + 1/10*l**6 + 0*l**4 + h*l**5 + 0 + 1/28*l**7 + l. Factor f(p).
3*p**3*(p + 1)**2/2
Let x(f) = 2*f**2 - 8*f - 61. Let n be x(8). Let p(t) be the second derivative of 4/9*t**2 + 7*t + 4/27*t**n + 1/54*t**4 + 0. Solve p(u) = 0.
-2
Let k(u) be the third derivative of u**9/272160 + u**8/90720 - 7*u**5/60 + 2*u**2. Let b(m) be the third derivative of k(m). Factor b(h).
2*h**2*(h + 1)/9
Let b be 2 + (523 + -3)/(-5). Let d = 106 + b. Suppose 6/7*l + 0*l**3 - 9/7*l**2 + 3/7*l**d + 0 = 0. What is l?
-2, 0, 1
Let h(z) be the second derivative of 3*z**4/20 - 13*z**3/5 + 24*z**2/5 - 3*z. Factor h(t).
3*(t - 8)*(3*t - 2)/5
Let 20*v + 8*v + 56*v**2 - 25*v**2 + 4*v**3 - 11*v**2 + 12 = 0. Calculate v.
-3, -1
Let p = -7994/5 + 1599. Let -1/5*x**2 + p*x + 0 = 0. What is x?
0, 1
Solve -2/5*l + 2/5*l**3 - 18/5 + 18/5*l**2 = 0.
-9, -1, 1
Suppose 3*u = k - 2, 0 = -2*k - 4*u + 2*u + 12. Suppose k*r - 1 = 24. What is l in -3*l**2 - 4*l**2 + r*l**2 - 2*l**2 = 0?
0
Suppose 18 = 11*w + 7. Let -25*z**5 - 34*z**4 + w - 1 - 10*z**2 + 44*z**4 + 25*z**3 = 0. What is z?
-1, 0, 2/5, 1
Suppose -4*d - 12 = -2*g, 5*g - 2*d = 76 - 62. Factor 12/5*f + 2*f**g - 16/5.
2*(f + 2)*(5*f - 4)/5
Let t(v) be the first derivative of -3*v**5/35 - 9*v**4/28 + 4*v**3/7 - 211. Determine a so that t(a) = 0.
-4, 0, 1
Let p(x) = -6*x. Let i be p(1). Let k(y) = 5*y**3 + 6*y**2 - 3*y - 5. Let c(w) = -19*w**3 - 23*w**2 + 12*w + 19. Let f(u) = i*c(u) - 22*k(u). Factor f(b).
2*(b - 1)*(b + 2)*(2*b + 1)
Let y be -8 - (-1 + -2 + 4). Let v = y - -18. Factor -9 + 3*w**3 - 3*w**2 - 6*w + v.
3*w*(w - 2)*(w + 1)
Let o(j) be the third derivative of -j**7/8820 + j**6/840 + j**5/105 + 5*j**4/24 + 18*j**2. Let n(g) be the second derivative of o(g). What is m in n(m) = 0?
-1, 4
What is h in 14*h - 7*h**4 + 15*h - 12 - 7*h - 6*h**2 - 6*h**3 + 9*h**4 = 0?
-2, 1, 3
Let m(f) be the second derivative of f**5/12 + 5*f**4/6 + 5*f**3/2 - 2*f - 16. Factor m(v).
5*v*(v + 3)**2/3
Let x(h) be the third derivative of -h**7/2520 - h**6/360 - h**5/120 - 5*h**4/8 + 4*h**2. Let q(r) be the second derivative of x(r). What is s in q(s) = 0?
-1
Factor -6*b - 13/2*b**3 + 0 + 3/4*b**4 + 13*b**2.
b*(b - 6)*(b - 2)*(3*b - 2)/4
Suppose n + 41 = 77. Factor -24*z**2 - 44*z - 24*z**2 - 3*z**5 + 44*z + n*z**3.
-3*z**2*(z - 2)**2*(z + 4)
Let z(i) = 8*i**3 + 15*i**2 - 6*i - 13. Let d(c) = 11*c**3 + 22*c**2 - 9*c - 20. Let s(f) = -5*d(f) + 7*z(f). Factor s(a).
(a - 3)**2*(a + 1)
Let b(p) be the first derivative of 15 + 25/9*p**3 + 45/2*p**2 + 50/3*p. Solve b(g) = 0 for g.
-5, -2/5
Let z(m) = -2*m**3 + 6*m**2 + 10*m - 5. Let n be z(4). Factor -1/2*u**2 - 1/2*u**n + 0*u + 0.
-u**2*(u + 1)/2
Let i(h) be the first derivative of -7/2*h**2 + 3/8*h**4 + 1 + 0*h + 1/2*h**3 + 3/20*h**5 + 1/40*h**6. Let g(s) be the second derivative of i(s). Factor g(k).
3*(k + 1)**3
Factor 9*b - 17*b + 2*b - 42 - 2*b**3 - 56*b - 11*b**2 - 11*b**2.
-2*(b + 1)*(b + 3)*(b + 7)
Let b = 29998/35 - 4264/5. Factor -8/7 - 8*n + b*n**2.
2*(n - 2)*(15*n + 2)/7
Let f(r) be the third derivative of -r**6/600 + 3*r**5/50 - r**4/8 - 17*r**3/15 - 109*r**2. Suppose f(c) = 0. What is c?
-1, 2, 17
Let n be (-6)/7*231/(-99). Let m(l) be the first derivative of 16/5*l**5 + 2/3*l**6 - 8*l**n + 32*l - 40/3*l**3 + 3 + l**4. Factor m(k).
4*(k - 1)**2*(k + 2)**3
Let o(y) be the third derivative of y**8/672 - y**7/42 + 31*y**6/240 - 13*y**5/60 - 7*y**4/12 + 10*y**3/3 - 172*y**2. Determine r, given that o(r) = 0.
-1, 2, 5
Let k(c) be the second derivative of 2/105*c**7 + 2/15*c**3 + 2/15*c**4 - 11*c - 2/25*c**5 + 0 - 2/75*c**6 - 2/5*c**2. Factor k(w).
4*(w - 1)**3*(w + 1)**2/5
Suppose 0 = -2*u + 5*f + 53, 0 = 4*u - 0*f - f - 133. Factor -72*t**2 + 39*t - 29*t - 2 - u*t.
-2*(6*t + 1)**2
Let t(b) be the third derivative of b**9/34776 - b**8/4830 + b**7/1932 - b**6/2070 - 5*b**3 - 10*b**2. Let z(c) be the first derivative of t(c). Factor z(d).
2*d**2*(d - 2)*(d - 1)**2/23
Let s(b) be the third derivative of b**5/330 - 85*b**4/22 + 21675*b**3/11 - 2*b**2 - 371*b. What is u in s(u) = 0?
255
Solve 5/7*o**2 - 6/7 - 5/7*o + 5/7*o**3 + 1/7*o**4 = 0.
-3, -2, -1, 1
Let y = 354677/29211 - -4/4173. Factor -y*m**2 + 25/7*m**3 + 31/7*m - 3/7.
(m - 3)*(5*m - 1)**2/7
Let v be 6/30*(-79 + 83). Let 12/5*f**4 + 12/5 + 8/5*f**3 - v*f**5 - 24/5*f**2 - 4/5*f = 0. Calculate f.
-1, 1, 3
Let b(l) = 2*l**2 - 4*l + 5. Let m be b(1). Factor a**5 + 7*a**2 + 2 - 6 + 0*a**3 + 0*a**m - 3*a**4 - a**3.
(a - 2)**2*(a - 1)*(a + 1)**2
Let b be ((-83)/(-5))/(4/40). Let s = b + -163. What is o in 64/3 + 588*o**4 + 640/3*o + 2272/3*o**2 + 1120*o**s = 0?
-2/3, -2/7
Let k = 45 - 23. Let u = -17 + k. Find y, given that -2/9*y**4 + 0*y - 8/3*y**u + 0 + 0*y**2 + 2/9*y**3 = 0.
-1/3, 0, 1/4
Let x = 2