6)/(-4)) + -1. Let t(o) = c*s(o) - z(o). Factor t(w).
-4*w**2*(w - 1)*(w + 1)**2
Let k = -58 + -14. Let x be 34/12 + 4*(-3)/k. Find g such that -1/4*g**x + 1/2*g**2 - 1/4*g**4 + 0*g + 0 = 0.
-2, 0, 1
Determine z so that 20 - 124*z + 32*z**3 + 19*z**2 - 80 - 36*z**3 - 87*z**2 = 0.
-15, -1
Let i(j) be the first derivative of j**3/3 - 2. Let m = 50 + -54. Let f(a) = -2*a**3 + 12*a**2 - 10*a + 4. Let y(v) = m*i(v) + f(v). Factor y(u).
-2*(u - 2)*(u - 1)**2
Let p = 478/345 + -6/115. Let u(r) be the second derivative of -2*r + 4/3*r**2 + 1/2*r**4 + p*r**3 + 0. Find a, given that u(a) = 0.
-2/3
Let w be (4/10)/(28/210). Suppose 141*n**4 - 20*n**2 + 180*n**2 + 174*n**4 - 20*n - 405*n**w = 0. Calculate n.
0, 2/7, 1/3, 2/3
Suppose 0 = 68*b - 71*b + 300. Let g be (-1)/(-15)*b/30. Determine k so that -2/9*k**3 - g + 2/9*k**2 + 2/9*k = 0.
-1, 1
Let k(l) = l**2 + 3. Suppose -5*b = d - 27, -10 - 10 = -4*b. Let g(c) = -2*c**d + 6 + 0*c**2 + 5*c**2. Let n(o) = -4*g(o) + 9*k(o). Factor n(v).
-3*(v - 1)*(v + 1)
Let t(b) be the first derivative of 1/4*b**4 + 0*b**3 - 4 + 0*b - 1/15*b**5 - 2/3*b**2. Factor t(j).
-j*(j - 2)**2*(j + 1)/3
Let z = 2721 - 16325/6. Let j(q) be the second derivative of 1/72*q**4 + 3*q + 1/36*q**3 + 0 - z*q**2. Find g, given that j(g) = 0.
-2, 1
Let a be (-8)/21*(-18)/12. Factor -1/7*i**5 - 1/7*i - 6/7*i**3 + a*i**4 + 0 + 4/7*i**2.
-i*(i - 1)**4/7
Let o(z) = 10*z**4 + 22*z**3 - 36*z**2 - 28*z + 14. Let s(q) = -11*q**4 - 23*q**3 + 38*q**2 + 30*q - 13. Let l(g) = 7*o(g) + 6*s(g). Let l(p) = 0. Calculate p.
-5, -1, 1
Let o(v) be the first derivative of -3*v**5/20 + 9*v**4/16 - 3*v**3/4 + 3*v**2/8 + 5. Let o(p) = 0. What is p?
0, 1
Let z(b) be the first derivative of -5*b**6/18 - 23*b**5/3 - 355*b**4/6 - 490*b**3/9 + 715*b**2/6 + 605*b/3 + 23. Suppose z(q) = 0. What is q?
-11, -1, 1
Factor 0 - 28/3*r + 2/3*r**3 + 55/3*r**2.
r*(r + 28)*(2*r - 1)/3
Let b(r) be the third derivative of -r**8/378 - 13*r**7/945 + r**6/60 + 47*r**5/270 + 35*r**4/108 + 2*r**3/9 + 2*r**2 - 17*r. Solve b(m) = 0.
-3, -1, -1/4, 2
Suppose 0 = -3*r - 3, -10*k + 3*r + 1 = -12*k. Let v(o) be the first derivative of -13/14*o**4 + 2/7*o**5 + 6/7*o**3 - 4/7*o + k + 1/7*o**2. Factor v(q).
2*(q - 1)**3*(5*q + 2)/7
Let k = 429 - 202. Let 31*v + 147*v - 90*v**2 + 5*v**3 + k*v = 0. Calculate v.
0, 9
Solve -10/11*b + 6/11*b**2 - 8/11*b**4 + 2/11 + 10/11*b**3 = 0 for b.
-1, 1/4, 1
Let m(f) be the third derivative of -f**7/630 + f**6/18 + 43*f**5/180 + 11*f**4/36 - f**2 - 50*f. What is x in m(x) = 0?
-1, 0, 22
Let f(b) be the third derivative of 9*b**5/160 + b**4/4 - b**3/4 + 65*b**2. Determine z so that f(z) = 0.
-2, 2/9
Let w = -10486 + 20973/2. Determine x, given that 3/2 - 3*x**2 + 1/2*x + w*x**5 + 3/2*x**4 - x**3 = 0.
-3, -1, 1
Let l(v) be the second derivative of -2/25*v**6 - 11/25*v**5 - 6/5*v**3 - v - v**4 - 8 - 4/5*v**2. What is a in l(a) = 0?
-1, -2/3
Let x = 2471/3292 - 1/1646. Factor -3*o + 9/2*o**2 - 3*o**3 + x*o**4 + 3/4.
3*(o - 1)**4/4
Factor -89*p**2 - 9*p + 5*p**3 + 94*p**2 - p.
5*p*(p - 1)*(p + 2)
Suppose -14 + 174 = 10*v. What is n in -83*n**5 - v*n**4 + 79*n**5 - 20*n**3 - 2*n**2 - 6*n**2 = 0?
-2, -1, 0
Let y(g) = 20*g**3 - 81*g**2 + 85*g - 30. Let k(c) = c**2. Let x(m) = -6*k(m) - y(m). Solve x(t) = 0 for t.
3/4, 1, 2
Let l = 764/55 - 144/11. What is x in -24/5*x**4 + 0*x - 32/5*x**2 - l*x**5 + 0 - 48/5*x**3 = 0?
-2, 0
Let j = 18/101 - 439/3030. Let d(w) be the third derivative of -5*w**2 + 1/12*w**4 + 0*w**7 + 0 - j*w**6 + 0*w**3 + 1/168*w**8 + 0*w**5 + 0*w. Factor d(c).
2*c*(c - 1)**2*(c + 1)**2
Let k(t) = 2*t + 19. Let n be k(-8). Factor 4*r**4 + 2*r + 2*r - 4*r - 4*r + 4*r**n - 4*r**2.
4*r*(r - 1)*(r + 1)**2
Let h(m) = -9*m - 41. Let b be h(-5). Let f be (8 + -8)/(b + -2). Factor -4/7*q**3 + f + 0*q - 2/7*q**4 - 2/7*q**2.
-2*q**2*(q + 1)**2/7
Solve 39/5 + 39/5*v**4 + 6/5*v**3 - 78/5*v**2 - 3/5*v**5 - 3/5*v = 0 for v.
-1, 1, 13
Find u such that -4/5*u**2 - 48/5*u - 108/5 = 0.
-9, -3
Let l(d) be the second derivative of 0 + 0*d**2 + 0*d**3 - 4*d - 1/12*d**4 + 3/40*d**5 - 1/60*d**6. Factor l(v).
-v**2*(v - 2)*(v - 1)/2
What is h in 357/5*h**3 - 24/5 - 132/5*h - 54/5*h**2 - 147/5*h**4 = 0?
-2/7, 1, 2
Let m = 3581 + -3577. Suppose 1/2*h**2 + 0 - 1/4*h**5 - 5/4*h**3 + h**m + 0*h = 0. Calculate h.
0, 1, 2
Let j(z) = -z**3 + 5*z**2 - 2*z + 8. Let h(x) = -2*x**3 + 10*x**2 - x + 18. Let l(q) = 2*h(q) - 5*j(q). Let l(y) = 0. Calculate y.
1, 2
Let v(u) be the second derivative of u**5/10 + u**4/3 - 7*u**3 + 18*u**2 - 106*u. Factor v(z).
2*(z - 3)*(z - 1)*(z + 6)
Let i be (-3)/2*(-34)/51. Let h(y) = 2*y**4 + 2*y**3 + 2*y**2 - 10*y + 12. Let o(b) = -b**2 + b - 1. Let f(c) = i*h(c) + 8*o(c). Solve f(n) = 0 for n.
-2, -1, 1
Let n = 313/1782 + 1/162. Solve 4/11 - n*w - 2/11*w**2 = 0.
-2, 1
Let y(r) = 20*r**2 + 52*r - 27. Let s(p) = 468*p + 180*p**2 + 0 + 37 - 281. Let z(f) = -3*s(f) + 28*y(f). Solve z(w) = 0.
-3, 2/5
Let n be -1*(1 + 0) - (-15 + 13). Let v(z) = -z**3 + 4*z**2 + 2*z - 3. Let g(d) = -d**3 - 1. Let q(i) = n*g(i) + v(i). Factor q(f).
-2*(f - 2)*(f - 1)*(f + 1)
Let x(k) be the second derivative of -16*k**3 - 5/21*k**7 + 0 - 35*k + 13/5*k**6 + 36/5*k**2 - 519/50*k**5 + 553/30*k**4. Let x(b) = 0. What is b?
2/5, 1, 3
Let o = -666 + 671. Let k(j) be the second derivative of 1/50*j**6 + 0*j**2 - 1/5*j**3 + j - 3/25*j**o + 1/4*j**4 + 0. Find i such that k(i) = 0.
0, 1, 2
Let -2/21*p**4 + 20/7*p**2 + 0 - 26/21*p**3 + 0*p = 0. Calculate p.
-15, 0, 2
Factor 28/5*l**2 + 10*l + 24/5 + 2/5*l**3.
2*(l + 1)**2*(l + 12)/5
Let h(p) = 7*p**2 - 91*p - 89. Let w(m) = -20*m**2 + 272*m + 268. Let d(n) = 8*h(n) + 3*w(n). Determine a so that d(a) = 0.
-1, 23
Let z(r) = -3*r**4 - 12*r**3 + 17*r**2 + 24*r - 18. Let k(u) = -35*u**4 - 145*u**3 + 205*u**2 + 290*u - 215. Let x(a) = -2*k(a) + 25*z(a). Factor x(d).
-5*(d - 1)**2*(d + 2)**2
Let c = -89 - -91. Factor 10 + 9 + 16 - 40 + 10*u - 5*u**c.
-5*(u - 1)**2
Suppose -5*x + 2*h + 4 = 0, 0 = 3*h - 0 + 6. Let l(b) be the second derivative of 1/10*b**4 + 0*b**2 + 0 - 1/50*b**5 - 5*b + x*b**3. What is w in l(w) = 0?
0, 3
Let v(z) be the second derivative of 0*z**3 + 34*z + 0 + 1/84*z**4 + 0*z**2. Factor v(c).
c**2/7
Let a(h) be the third derivative of -h**5/12 - 5*h**4/2 + 8*h**2 - 7*h. Solve a(n) = 0 for n.
-12, 0
Let f(k) = k**3 - k**2 - k - 2. Let h(j) = 16*j**3 - 58*j**2 + 28*j + 48. Let n(u) = -36*f(u) + 2*h(u). Factor n(l).
-4*(l - 2)*(l + 1)*(l + 21)
Suppose -7 = s + 2. Let p(q) = -q**2 - 9*q + 3. Let z be p(s). Determine n so that -n - 2*n**4 + 0*n**3 + 3*n**2 + n**z + 0*n**2 - 1 = 0.
-1, -1/2, 1
Let c = -1388204/315 - -4407. Let u(k) be the third derivative of 0*k**3 + 0*k**5 + 0 + 0*k + 0*k**4 - 7*k**2 - c*k**7 - 1/180*k**6. Solve u(w) = 0 for w.
-1, 0
Suppose 6*m - 25*m = -38. Let c(v) be the second derivative of 1/10*v**3 - 1/12*v**4 + 6*v + 0 + 1/100*v**5 + 9/10*v**m. Let c(w) = 0. Calculate w.
-1, 3
Let y(x) be the second derivative of -x**7/147 + 2*x**6/105 - x - 21. Factor y(f).
-2*f**4*(f - 2)/7
Suppose 3*y - 6 = -4*i, 3*i + 6 = 2*y + 2. Determine f so that -3*f**4 + 0*f**4 - 646*f**3 - y*f**4 - 5*f**2 + 656*f**3 = 0.
0, 1
Suppose 0 = 12*w - 7*w - 35. Let y be (-4 - (3 - w)) + 2. Determine x, given that -x**2 - 15 + 10*x + 5*x**y + 0*x**2 + x**2 = 0.
-3, 1
Let z(u) be the first derivative of 4*u**3/15 + 8*u**2/5 + 16*u/5 + 134. Solve z(r) = 0.
-2
Suppose -21/4*j**2 + 3/2 + 15/4*j = 0. Calculate j.
-2/7, 1
Let l = -33 - -38. Let x be 1/((-1)/(l + -7)). Factor -1/3*b**4 + 0 - 1/3*b**x + 0*b + 2/3*b**3.
-b**2*(b - 1)**2/3
Let p be 2 + 28/3 - (-32)/48. Solve -o**2 - 8 + p*o + 0 - 3*o**2 + 0 = 0 for o.
1, 2
Let v be (-90)/300*1/(-9). Let p(n) be the second derivative of -1/9*n**4 - 1/9*n**3 - v*n**5 + 0*n**2 + 0 - 3*n. Factor p(y).
-2*y*(y + 1)**2/3
Let z(u) be the first derivative of -u**3/2 + 3*u**2 + 15*u/2 + 526. Factor z(j).
-3*(j - 5)*(j + 1)/2
Let l = -27484 + 27486. Factor 3/5*j**l + 1/5*j**3 + 0 + 2/5*j.
j*(j + 1)*(j + 2)/5
Let j(c) be the first derivative of -3*c**4/16 - c**3 + 3*c**2/2 + 12*c + 10. Factor j(x).
-3*(x - 2)*(x + 2)*(x + 4)/4
Let w(u) be the first derivative of -2*u**5 - 5/6*u**6 + 10/3*u**3 + 0*u + 5/2*u**2 + 0*u**4 + 17. Solve w(b) = 0.
-1, 0, 1
Let d(k) be the second derivative of 2*k**7/3 - 38*k**6/15