actor 9/5*b**2 - 3*b - p.
3*(b - 2)*(3*b + 1)/5
Let d(b) = b**2 + b - 3. Let h(m) = m**3 + 10*m**2 + 10*m - 20. Let w(k) = -28*d(k) + 4*h(k). Factor w(q).
4*(q + 1)**3
Suppose -182*m + 186*m - 36 = -g, -8 = -4*g + m. Factor 5/3*k**3 + 1/3*k**2 - 1/3*k**5 + 4/3 - 1/3*k**g - 8/3*k.
-(k - 1)**3*(k + 2)**2/3
Let j = -56 + 92. Let p be 84/j - (-2)/(-6). Solve 4/15*q**p + 2/15*q**3 + 0 + 2/15*q = 0.
-1, 0
Let v(w) be the first derivative of 33/4*w**2 - 21/40*w**5 - 17 - 3*w - 33/4*w**3 + 111/32*w**4. Solve v(k) = 0 for k.
2/7, 1, 2
Let v be (-4 - 752/(-184)) + (-95)/(-230). Find d such that -3/2*d**2 + 1 + 1/2*d + 1/2*d**4 - v*d**3 = 0.
-1, 1, 2
Suppose -2*h = x - 3*h + 3, -4*h = -x - 18. Suppose 2*s + 0 + 2/3*s**x = 0. Calculate s.
-3, 0
Let c be (-4 + 344/84)/((-3)/(-21)). Let g(l) be the first derivative of 2/15*l**5 - c*l**2 + 3 + 0*l - 2/9*l**3 + 1/3*l**4. Factor g(m).
2*m*(m - 1)*(m + 1)*(m + 2)/3
Let x be 89/(-1246)*(-36)/10. Let c(s) be the first derivative of 1/7*s - 3/7*s**4 + 6 + x*s**5 + 2/7*s**2 - 2/21*s**3. Factor c(r).
(r - 1)**2*(3*r + 1)**2/7
Let p(l) be the first derivative of l**5/10 - l**4/2 + 2*l**3/3 + 615. Solve p(z) = 0.
0, 2
Let t(v) be the second derivative of -v**4/48 + 7*v**3/8 - 5*v**2/2 - 3*v + 9. Find b, given that t(b) = 0.
1, 20
Factor 2/11*t**2 - 2/11*t**3 - 128/11 + 128/11*t.
-2*(t - 8)*(t - 1)*(t + 8)/11
Factor -28/5*z**3 - 16/5 - 4/5*z**4 - 12*z**2 - 52/5*z.
-4*(z + 1)**3*(z + 4)/5
Suppose -137*j = -1770 + 1359. Determine z so that 0 - 6*z**j + 0*z + 6*z**2 + 3/2*z**4 = 0.
0, 2
Suppose -15*q = -9*q - 54. Let p(b) = b**2 - 2*b + 12. Let g(j) = 3*j**2 - 5*j + 25. Let f(o) = q*p(o) - 4*g(o). Factor f(u).
-(u - 2)*(3*u + 4)
Let k(n) = 4*n**4 + 8*n**3 + 2*n**2 - 12*n - 6. Let i(c) = 17*c**4 + 31*c**3 + 6*c**2 - 49*c - 23. Let d(m) = 4*i(m) - 18*k(m). Solve d(g) = 0.
-4, -1, 1
Let l(k) be the second derivative of 0 + 1/20*k**5 + k**3 - 7/12*k**4 + 0*k**2 - 18*k. Factor l(a).
a*(a - 6)*(a - 1)
Let s be 2/(560/42)*5. Find k, given that 1/8*k + 1/4 - s*k**2 + 1/4*k**4 + 1/8*k**3 = 0.
-2, -1/2, 1
Let i = 166 + -162. Let k(t) be the first derivative of 2*t**2 - 3 + 1/12*t**i - 8/3*t - 2/3*t**3. Factor k(z).
(z - 2)**3/3
Let r(u) be the first derivative of -u**7/4620 + u**6/1980 + u**5/330 - u**3/3 + 8. Let m(w) be the third derivative of r(w). Let m(g) = 0. What is g?
-1, 0, 2
Let d be 56/(-14) - (-222)/(-4)*(-22)/297. Find h such that -1/9*h**3 + 0 + 1/9*h - 1/9*h**2 + d*h**4 = 0.
-1, 0, 1
Let x(t) be the first derivative of -t**8/5880 - t**7/735 - t**6/420 + 13*t**3/3 - 8. Let c(k) be the third derivative of x(k). Factor c(w).
-2*w**2*(w + 1)*(w + 3)/7
Let x(w) = -5*w**5 + 30*w**3 - 5*w**2 - 20*w. Let t(k) = k**4 + k**3 - 2*k. Let u(z) = 5*t(z) + x(z). Determine m so that u(m) = 0.
-2, -1, 0, 1, 3
Let r(m) be the first derivative of 5*m**6/6 + 2*m**5 - 15*m**4/2 - 100*m**3/3 - 95*m**2/2 - 30*m + 125. Determine h so that r(h) = 0.
-2, -1, 3
Let m(q) be the second derivative of -q**4/20 - q**3 - 27*q**2/10 + 2*q + 9. Factor m(z).
-3*(z + 1)*(z + 9)/5
Let n(t) be the third derivative of -1/8*t**3 + 3/56*t**7 + 0*t**4 + 0 + 1/8*t**6 + 1/8*t**5 + t**2 + 0*t + 1/112*t**8. Solve n(w) = 0 for w.
-1, 1/4
Suppose -5*h + 8 + 12 = 0. Find x, given that 3*x**3 - 19*x**2 + 3*x**3 + 7*x - x**h + 3 + 5*x**4 - x**3 = 0.
-3, -1/4, 1
Factor 56/5*u + 11 + 1/5*u**2.
(u + 1)*(u + 55)/5
Let f(n) be the first derivative of n**4/12 - 49*n**3/9 + 95*n**2/6 - 47*n/3 + 46. Find k, given that f(k) = 0.
1, 47
Let k(d) be the first derivative of d**6/540 + d**5/270 - d**4/108 - d**3/27 + 9*d**2/2 + 4. Let w(r) be the second derivative of k(r). Factor w(c).
2*(c - 1)*(c + 1)**2/9
Find m such that 17/5*m**3 - 7/5*m**4 - 1/5*m**5 - 9/5*m**2 + 0*m + 0 = 0.
-9, 0, 1
Let z(u) = -3*u**2 - 21*u + 3. Let b be 1/2 - (13/2 - -1). Let w be z(b). Find c such that -20/3*c**w - 10/3*c - 10/3*c**4 - 2/3 - 2/3*c**5 - 20/3*c**2 = 0.
-1
Let p = 1189/448 - -13/64. Find f, given that 0 + 100/7*f**5 + p*f**4 + 16/7*f**2 - 64/7*f**3 + 0*f = 0.
-1, 0, 2/5
Let f(u) be the third derivative of u**6/60 - 151*u**5/30 + 299*u**4/12 - 149*u**3/3 + 548*u**2. Solve f(p) = 0.
1, 149
Suppose 0*q = q - 15. Suppose -5*z + q = -0*z. Solve 6*n**3 - 4*n**2 + 2*n**3 - 4*n**3 + z*n**4 = 0.
-2, 0, 2/3
What is o in 123*o + 74*o + 3*o**2 + 49*o + 7807 - 2764 = 0?
-41
Let x(m) be the first derivative of -2*m**5/105 + m**4/14 - 4*m**3/63 - 33. Find c, given that x(c) = 0.
0, 1, 2
Suppose d**4 + 4*d + d**4 + 0*d**4 + 8 + d**5 - 10*d**2 + 0*d**4 - 5*d**3 = 0. What is d?
-2, -1, 1, 2
Let w(q) be the first derivative of 49*q**7/180 - 49*q**6/45 + 28*q**5/15 - 16*q**4/9 + 19*q**3/3 + 21. Let o(z) be the third derivative of w(z). Factor o(t).
2*(7*t - 4)**3/3
Factor 111/4*w - 59/4*w**2 - 27/2 + 1/4*w**4 + 1/4*w**3.
(w - 6)*(w - 1)**2*(w + 9)/4
Let k(y) = y**3 - 2*y**2 + 2*y + 1. Let c(g) = 3*g**3 + 363*g**2 - 474*g + 100. Let j(t) = 3*c(t) + 12*k(t). Factor j(b).
3*(b - 1)*(b + 52)*(7*b - 2)
Determine m so that 7/3*m**5 + 0 + 16/3*m**4 + 4/3*m**3 + 0*m**2 + 0*m = 0.
-2, -2/7, 0
Let a be 3 + (12/1)/3. Let o(h) = h**3 - 10*h**2 + 20*h + 9. Let v be o(a). What is s in -1/3*s**v - 16/3 - 8/3*s = 0?
-4
Let h(u) be the first derivative of -u**6/270 - u**5/60 - u**4/36 - u**3/54 + 2*u - 2. Let c(s) be the first derivative of h(s). Let c(r) = 0. Calculate r.
-1, 0
What is l in 2*l + 2/3*l**2 + 0 = 0?
-3, 0
Suppose 3*m = 2*m + 5. Suppose m*h = 2*h. Determine u, given that 12 + 0*u**2 - 3*u**2 + h*u**2 + 0*u**2 = 0.
-2, 2
Let w = 9771 - 48854/5. Find y, given that w*y**3 + 8/5*y + 16/5 - 7/5*y**2 = 0.
-1, 4
Let y = 6364 - 19088/3. Suppose 0 + 4/9*h**2 - y*h**4 + 8/9*h - 16/9*h**3 = 0. What is h?
-1, 0, 2/3
Factor -7/3*o**3 - 1/2*o**4 - 7/6*o**2 + 2/3*o + 0.
-o*(o + 1)*(o + 4)*(3*o - 1)/6
Suppose 5 = -3*d + 35. Let c = d - 8. Factor -3*o + 9*o - o + 0*o - 3*o**2 - c.
-(o - 1)*(3*o - 2)
Let s(g) be the third derivative of g**7/1155 + g**6/660 - g**5/22 + 23*g**4/132 - 10*g**3/33 - 6*g**2 - 4. Let s(h) = 0. What is h?
-5, 1, 2
Let l be (4 - 64/12)/(2/(-6)). Factor -5*g**2 + 2*g**4 + 6*g**2 + 3*g**3 + g**5 + g**l.
g**2*(g + 1)**3
Let o(f) be the third derivative of f**6/30 - 17*f**5/15 + 11*f**4 - f**2 - 470*f. Suppose o(d) = 0. What is d?
0, 6, 11
Let i(w) be the third derivative of -w**6/30 - 17*w**5/120 - 5*w**4/24 - w**3/12 + w**2 - 12*w. Solve i(v) = 0.
-1, -1/8
Let p(j) be the first derivative of 8*j**2 - 10 - 5*j**3 - 4*j - 1/2*j**4 + j**5. Factor p(o).
(o - 1)**2*(o + 2)*(5*o - 2)
Let p(k) be the second derivative of k**4/36 + 23*k**3/9 + 529*k**2/6 + 133*k. Factor p(f).
(f + 23)**2/3
Find a such that 3/2*a**3 - 9 - 9*a**2 + 33/2*a = 0.
1, 2, 3
Let f = -13595/9 - -1511. Factor -f*c**2 + 1/9*c**3 - 4/9*c + 0 + 1/9*c**4.
c*(c - 2)*(c + 1)*(c + 2)/9
Let f be 3/((-3)/(-15)*(-21)/(-7)). Suppose p + g - f = -0*g, 0 = 5*p + 2*g - 19. Factor 12*k**p - 27/2 + 36*k - 3/2*k**4 - 33*k**2.
-3*(k - 3)**2*(k - 1)**2/2
Suppose 5 = -2*u - k, 0*k - 3*k = 4*u + 9. Let n be ((-1)/u - (-4)/(-12))*-1. Let -2/3*v**2 + 0 + n*v = 0. What is v?
0
Let w(z) = 4*z**3 - 6*z**2 - 4. Let v(t) = 3*t**3 - 5*t**2 + t - 3. Let n be (1 + 5)/(-1) - -3. Let g(y) = n*v(y) + 2*w(y). Suppose g(i) = 0. Calculate i.
1
Let z be (-330)/924 + ((-1)/(-6))/((-5)/(-15)). Factor z + 2/7*q + 1/7*q**2.
(q + 1)**2/7
Suppose 0 = 4*i + 3*l - 14, -2*l + 7 = i - 3*l. Let o(b) be the first derivative of 3/8*b**4 + 1/10*b**i - b + 1/6*b**3 - 3/4*b**2 - 3. Factor o(w).
(w - 1)*(w + 1)**2*(w + 2)/2
Let m = 269 + -267. Let z(f) be the first derivative of -4 - 4/27*f**3 + 0*f**m - 1/18*f**4 + 0*f. Factor z(t).
-2*t**2*(t + 2)/9
Let u(n) = -12*n - 5. Let v be u(-5). Let a = 107 - v. Factor -11*t - t - 46*t**2 + 14*t**3 - 8 + a*t.
2*(t - 2)*(t - 1)*(7*t - 2)
Determine f so that -17/9*f - 2/9 - 5/3*f**2 = 0.
-1, -2/15
Let c be ((-5)/40)/(-2*4/64)*4. Factor -108*t**2 + 648*t + 8*t**3 - 2/9*t**c - 1458.
-2*(t - 9)**4/9
Let r(d) be the second derivative of d**8/3192 - d**7/399 + d**6/285 - 13*d**2/2 - 4*d - 1. Let b(q) be the first derivative of r(q). Factor b(u).
2*u**3*(u - 4)*(u - 1)/19
Let a(w) be the first derivative of -9*w**4/4 - 4*w**3 + 141*w**2/2 - 120*w + 717. Factor a(d).
-3*(d - 1)*(d + 5)*(3*d - 8)
Suppose -4*f + 77 + 143 = 0. Let 91*u**4 - 46*u**4 - 5*u**5 + 