*r**c - 14*r**3 = 0. What is r?
-1, -1/4
Suppose 0 = 5*r - 566 + 3061. Let p = -2487/5 - r. Suppose -p*k**2 - 2*k - 4/5 - 2/5*k**3 = 0. What is k?
-2, -1
Let j(f) = 4*f**2 - 5*f - 7. Let b = -17 + -1. Let c be (-38)/(-6) + b/54. Let l(k) = -3*k**2 + 6*k + 6. Let q(y) = c*j(y) + 7*l(y). Factor q(z).
3*z*(z + 4)
Determine b so that -48*b - 42/5*b**2 - 40 - 2/5*b**3 = 0.
-10, -1
Let c = -91/4 - -3011/132. Let l(m) be the second derivative of 0*m**2 + c*m**3 - m + 0 + 1/22*m**4. Solve l(r) = 0 for r.
-2/3, 0
Let m(y) = 5*y + 38. Let h be m(-7). Let l(r) = r**2 + 6*r + 7. Let x be l(-5). Factor 4 + 8*u + 2 - h*u**x - 5*u.
-3*(u - 2)*(u + 1)
Factor -3/2*p**2 - 27/2 + 15*p.
-3*(p - 9)*(p - 1)/2
Suppose -2/9*q**3 - 158/9*q - 14 - 34/9*q**2 = 0. What is q?
-9, -7, -1
Let h(a) be the second derivative of a**5/10 + a**4/6 - a**3/2 + a**2/2 + 8*a. Let d be h(1). Factor -9/5 - 21/5*s**d + 42/5*s - 12/5*s**3.
-3*(s - 1)*(s + 3)*(4*s - 1)/5
Suppose -3*m + 4*x + 26 + 24 = 0, -4*m = 2*x - 30. Factor m*f - 3*f**3 + 14*f - 36 + 21*f**2 - 18*f**2.
-3*(f - 2)**2*(f + 3)
Let z be (-45)/(-6)*4/3. Suppose -z = 5*i, -i - 2 = 2*t + i. Determine v, given that -t - 15*v + 8*v**3 - 5*v**3 - 3*v**2 - 8 = 0.
-1, 3
Let p = 1315 + -1313. Factor 0*k - 1/3*k**p + 0.
-k**2/3
Suppose 0 = -293*m - 59*m + 712800. Factor -m + 405*b - 27*b**2 + 3/5*b**3.
3*(b - 15)**3/5
Let y = 7613 - 68497/9. Solve -8/3*c**2 - y*c**3 + 0 + 0*c + 4/9*c**4 = 0 for c.
-1, 0, 6
Suppose 0 = -5*t + 5*m, 4*t - 6 = 2*m + 4. Let q(y) be the second derivative of 0*y**3 + 0*y**4 + 3/20*y**5 + 0 + 0*y**2 + 1/10*y**6 + t*y. Factor q(k).
3*k**3*(k + 1)
Let h(x) be the third derivative of 2*x**7/525 - 7*x**6/150 - 28*x**5/75 - 2*x**4/3 - 10*x**2 - 10. Determine y, given that h(y) = 0.
-2, -1, 0, 10
Let q(y) = y**2 + 17*y + 2. Let o be q(-17). Let -42*f**2 + o*f + f + 45*f**2 = 0. Calculate f.
-1, 0
Solve -280900/7 - 4/7*c**2 + 2120/7*c = 0.
265
Let q(b) = 3*b**3 + 6*b**2 + 3*b - 3. Let v be 3 + -1 + -4 - -4. Let i(u) = 3*u**3 + 6*u**2 + 3*u - 2. Let d(l) = v*q(l) - 3*i(l). Find k, given that d(k) = 0.
-1, 0
Determine h so that -168*h + h**3 + 318 + 220 + h**4 + 573*h**2 + 138 - 51*h**3 + 1468*h = 0.
-1, 26
Let l(y) be the second derivative of 3*y**5/40 + 5*y**4/2 + 37*y**3/4 + 27*y**2/2 - 104*y. Factor l(w).
3*(w + 1)**2*(w + 18)/2
Suppose 5*k - w + 37 = 0, -4*w + 1 = -7. Let o = -3 - k. Factor -t**3 + 0 - 2*t**4 + o*t + 1 + 1 - 3*t**3.
-2*(t - 1)*(t + 1)**3
Let p(b) be the second derivative of b**5/30 - 11*b**4/18 + 10*b**3/9 + 22*b. Determine u so that p(u) = 0.
0, 1, 10
Let x(f) = -13*f**2 + f - 1. Let k be x(1). Let m = 15 + k. Determine g so that g**5 + 2/3 + 4/3*g**4 - 2*g**m - 4/3*g**3 + 1/3*g = 0.
-1, 2/3, 1
Let d = 28912 - 202378/7. What is p in -6/7*p**4 + d*p**2 + 0 - 15/7*p**5 + 15/7*p**3 + 0*p = 0?
-1, -2/5, 0, 1
Let a(w) = -2*w - 29. Let s be a(-19). Suppose 21 = 5*t + 4*d, d + 4*d = -2*t + 5. Factor 5*x - x**4 - 2 - 12*x - t*x**3 + 0*x - s*x**2.
-(x + 1)**3*(x + 2)
Let c(a) be the first derivative of -a**9/6552 + a**8/2184 - a**7/2730 + 13*a**3/3 + 6. Let v(q) be the third derivative of c(q). Determine p so that v(p) = 0.
0, 2/3, 1
Let j(m) be the first derivative of 9*m**4/4 + m**3/3 - m**2/2 + m - 8. Let i be j(1). Find d, given that 5*d - 12*d - 12*d**2 + 6 + i*d - 9*d**3 = 0.
-1, 2/3
Suppose -5*y + 7*y = -46. Let a = y + 93/4. Factor 3/4*h**2 + 3/4*h**3 + 0 + 1/4*h + a*h**4.
h*(h + 1)**3/4
Let t = 2 - -2. Suppose 5*n + 3*u = 4*u + 5, -3*n = -t*u + 14. Factor 2*d + d**4 - d**4 - 2*d**4 + 6*d**3 - 8*d + 4 - n*d**2.
-2*(d - 2)*(d - 1)**2*(d + 1)
Let h(m) = m**4 + m**3 + m**2 + 1. Let a(k) = -10*k**4 + 10*k**2 + 6*k - 6. Let z(v) = -a(v) - 6*h(v). Factor z(t).
2*t*(t - 3)*(t + 1)*(2*t + 1)
Let f(k) = k**3 - 14*k**2 - 13*k + 10. Let o be f(15). Let h = o - 36. Suppose 1/2 + 1/2*b**h + 0*b + 0*b**3 - b**2 = 0. Calculate b.
-1, 1
Let p(v) = v**3 + 2*v**2 + v - 9. Let t be p(0). Let i be (-5 - -5) + (-6)/t. Factor i - 4/3*y**3 + 4/3*y + 0*y**2 - 2/3*y**4.
-2*(y - 1)*(y + 1)**3/3
Factor -48*j + 44*j**2 + 16 + 4*j**5 - 10*j**3 - j**5 + 12*j**2 + 9*j**4 - 22*j**3 - 4*j**5.
-(j - 2)**4*(j - 1)
Find a such that -42592/9 - 5808*a - 2376*a**2 - 324*a**3 = 0.
-22/9
Let i(p) be the third derivative of p**5/690 + 5*p**4/46 + 75*p**3/23 + 37*p**2. Let i(l) = 0. Calculate l.
-15
Let s(m) = -2*m**3 + 2*m**2 - 7*m + 4. Let q = 89 - 92. Let d(b) = -4*b**3 + 3*b**2 - 15*b + 9. Let z(r) = q*d(r) + 7*s(r). Factor z(t).
-(t - 1)**2*(2*t - 1)
Let h(b) be the third derivative of b**5/80 + b**4/32 - 3*b**3/4 - 6*b**2. What is g in h(g) = 0?
-3, 2
Let p(u) = -u**2 - 7*u - 1. Let i be p(-6). Let f be (-20)/(-16)*108/90. Find z, given that z**4 + z**2 - f*z**3 + 0 - 1/4*z**i - 1/4*z = 0.
0, 1
Suppose 2*l - 8 = -4*a, 2*a + 5*l = 2*l - 4. Suppose 2*r + 0*o = 4*o - a, 3*r - 12 = -3*o. Factor 2*h**r + 16*h - 5*h**2 - 25*h.
-3*h*(h + 3)
Suppose 5*o - 3*n - 25 = 0, 4*o + 2*n = -2*n - 12. Determine z, given that -15*z**2 + 5*z**3 - 10*z**o + 32*z**4 - 7*z**4 - 6*z**5 + z**5 = 0.
-1, 0, 1, 5
Factor 10*m - 2*m**2 - 16*m + 15*m + 5*m + 16.
-2*(m - 8)*(m + 1)
Let m = 149/52 - 8/13. Let h be 2/(-5 + (-4 + -1 - -11)). Let 7/4*q - 1/2 + m*q**h = 0. What is q?
-1, 2/9
Let t(x) = -x**3 - x**2 - 3*x - 2. Let f be t(-1). Let j be (f - 6/6)/(-2). Factor j + 1/4*h**2 - 1/4*h.
h*(h - 1)/4
Suppose 31*l - 79*l = 0. Determine w, given that 1/2*w**3 + 9/2*w - 3*w**2 + l = 0.
0, 3
Let w = 1 + 7. Suppose 4*g = 8*g - w. Determine m so that -14 + 2*m + 14 - 12*m**g + 6*m - 20*m**3 = 0.
-1, 0, 2/5
Suppose -21 = -5*x + 4*r, 2*x + 0*r + 6 = -2*r. Let i be ((-25)/(-10) - (-1)/2)*x. Suppose -1/3*k + 0 - 3*k**i + 2*k**2 = 0. Calculate k.
0, 1/3
Let v(s) be the first derivative of 5*s**4/4 - 5*s**3 - 15*s**2 + 40*s + 20. Determine w, given that v(w) = 0.
-2, 1, 4
Let y be (5 - -4) + (5 - 4). Factor y*s - 12*s**4 - s**4 - 15*s**3 + 5*s**5 + 5*s**2 + 8*s**4.
5*s*(s - 2)*(s - 1)*(s + 1)**2
Let b(n) = -n**2 + 16*n - 34. Let u be b(14). Let f be ((-4)/(-6))/(4/(u + 7)). Suppose 1/2*a**2 + 1/2*a + f*a**3 + 1/6 = 0. What is a?
-1
Let z(t) = -24*t**2 + 54*t + 28. Let k(f) = 5*f**2 - 11*f - 6. Let n(g) = 14*k(g) + 3*z(g). Factor n(s).
-2*s*(s - 4)
Let p(k) be the second derivative of k**6/60 - k**5 + 21*k**4 - 392*k**3/3 - 1372*k**2 - k - 114. Factor p(g).
(g - 14)**3*(g + 2)/2
Suppose 0 = -3*w - 2*w + 70. Let b be ((-14)/w)/((-2)/42). Factor 20*v**2 + b*v - 2*v + 5 + 15*v - 9*v.
5*(v + 1)*(4*v + 1)
Let y(p) = -2*p**2 + 3*p + 12. Let u be y(3). Let s(q) be the third derivative of 0 - 1/24*q**4 - q**2 - 1/3*q**u + 1/60*q**5 + 0*q. Factor s(m).
(m - 2)*(m + 1)
Let i = -2537/2 - -1270. Factor -5/2*l**2 + 25/6*l**3 - i*l - 1/6.
(l - 1)*(5*l + 1)**2/6
Let f be 20/(-5) + 1/(3/964). Let y = f - 6616/21. Determine g, given that 0 + y*g**2 - 10/7*g**3 + 8/7*g = 0.
-2/5, 0, 2
Factor -2/3*f**2 - 14 + 44/3*f.
-2*(f - 21)*(f - 1)/3
Factor -10372*p**2 + 2*p**5 - 88*p**4 + 1344*p**3 - 2116*p + 2532*p**2 + 13092*p.
2*p*(p - 14)**3*(p - 2)
Suppose a + 4 = 8. Factor -j**2 + 3*j**4 - 4*j**a - j + 2*j**4 + j**3.
j*(j - 1)*(j + 1)**2
Let w = -2746 - -8242/3. Factor w*a + 4/3*a**2 + 0.
4*a*(a + 1)/3
Let w(o) = -o**2 + 8*o - 17. Let r be w(8). Let v = r + 25. Factor -4*m - 2*m**2 + 12*m**2 - m - v + 21*m.
2*(m + 2)*(5*m - 2)
Let q(u) be the first derivative of 7/15*u**3 - 9/20*u**4 - 1/30*u**6 - 1/5*u**2 + 0*u - 17 + 1/5*u**5. Factor q(b).
-b*(b - 2)*(b - 1)**3/5
Let j(c) be the third derivative of c**5/60 + c**4/4 + 3*c**3/2 + 2*c**2 + 21. Determine m, given that j(m) = 0.
-3
Let x(q) be the first derivative of 5*q**5/8 + 15*q**4/8 + 2*q**3 + q**2 + 19*q + 9. Let l(a) be the first derivative of x(a). Factor l(o).
(o + 1)*(5*o + 2)**2/2
Let k be 1/3 + -1 + (-595)/(-51). Suppose 18*y + 2*y**2 + 0*y**2 - 3*y**3 - 6*y - k*y**2 = 0. Calculate y.
-4, 0, 1
Let k = -10231 + 10234. Let x = 50/33 - 1/66. Determine q so that x*q**k + 24*q + 12*q**2 + 0 = 0.
-4, 0
Let s(h) be the second derivative of -1/30*h**6 + 0 + 1/10*h**5 + 7*h + 0*h**2 - 1/3*h**3 + 1/12*h**4. Factor s(v).
-v*(v - 2)*(v - 1)*(v + 1)
Let y(f) = -5*f**4 + 103*f**3 - 744*f**2 + 2494*f - 3125. Let b(p) = 5*p**4 - 102*p**3 + 746*p**2 - 2496*p + 3125. Let v(g) = 3*b(g) + 2*y(g). Factor v(s).
5*(s - 5)**4
Let y be 6/156*312/72. Let 0 +