 = 4*j - 4*b + 5. Suppose j + w - 3/2*w**2 = 0. Calculate w.
0, 2/3
Let z be (42/(-15) + 3)/(1/2). Let -4/5*n**2 + 4/5 + 2/5*n**3 - z*n = 0. Calculate n.
-1, 1, 2
Suppose 2*o = -2*o + 29*o. Factor 6/7*n**2 + o*n**3 + 0 - 2/7*n**4 - 4/7*n.
-2*n*(n - 1)**2*(n + 2)/7
Suppose -2*a - a + 10 = -5*f, 2*f = -a - 4. Factor -2/7*z**3 + 2/7*z + 0 + a*z**2.
-2*z*(z - 1)*(z + 1)/7
Factor -34 - 27*u**3 - 2 + 12 - 18*u**2 + 60*u.
-3*(u + 2)*(3*u - 2)**2
Let l(h) be the second derivative of 0*h**2 + 0*h**3 - 1/16*h**5 - 1/168*h**7 + h + 1/24*h**4 + 1/30*h**6 + 0. Find d, given that l(d) = 0.
0, 1, 2
Let j(g) be the first derivative of 2*g**5/35 + 2*g**4/7 + 2*g**3/7 - 4*g**2/7 - 8*g/7 + 32. Suppose j(u) = 0. What is u?
-2, -1, 1
Let o(u) = u**3 + u + 21. Let t be o(0). Let a = 19 - 9. Determine v, given that 5*v + 2 - 1 - 6*v**2 - 9*v**5 - a*v**3 - 2*v + t*v**4 = 0.
-1/3, 1
Let j(n) be the second derivative of 8*n + 4/45*n**5 + 1/27*n**6 - 1/6*n**4 + 4/9*n**2 + 0 - 8/27*n**3. What is c in j(c) = 0?
-2, -1, 2/5, 1
Let y(o) be the second derivative of o**6/51 + 3*o**5/170 - 11*o**4/51 - 4*o**3/17 + 8*o**2/17 + 11*o. Determine f so that y(f) = 0.
-2, -1, 2/5, 2
Let w(p) be the first derivative of -p - 4 - 1/6*p**3 + 3/4*p**2. Factor w(q).
-(q - 2)*(q - 1)/2
Factor 0 + 2/3*c + c**2 + 1/3*c**3.
c*(c + 1)*(c + 2)/3
Let t(u) = 2*u**3 + 11*u**2 - 12*u - 34. Let m be t(-6). Factor -3/2*s + 1/4*s**m + 9/4.
(s - 3)**2/4
Let u = -4 + 5. Let m be 68/12 - u/(-3). Factor 0*s - 2*s**2 + 4*s - 2*s + m*s**2.
2*s*(2*s + 1)
Suppose 22 = 5*c + 6*c. Factor -4/3*r - 10/3*r**4 - 6*r**3 + 0 - 14/3*r**c - 2/3*r**5.
-2*r*(r + 1)**3*(r + 2)/3
Let f(o) be the third derivative of o**7/1995 + o**6/1140 + 12*o**2. Let f(w) = 0. Calculate w.
-1, 0
Let i(s) be the third derivative of 0 - 1/12*s**4 + s**2 + 1/15*s**7 + 0*s**3 + 1/6*s**5 - 1/84*s**8 - 3/20*s**6 + 0*s. Determine j so that i(j) = 0.
0, 1/2, 1
Determine z, given that 2/3*z**2 - 4 - 2/3*z = 0.
-2, 3
Let w(o) = 18*o**3 - 18*o**2 + 36*o - 9. Let g(y) = -y**3 + 1 - 3 + 1. Let i(l) = 15*g(l) + w(l). Factor i(p).
3*(p - 2)**3
Let k(b) be the first derivative of 3*b**5/20 - 3*b**3/2 + 3*b**2 + 2*b + 2. Let j(r) be the first derivative of k(r). Factor j(d).
3*(d - 1)**2*(d + 2)
Let x(w) be the third derivative of -w**7/525 - w**6/300 + w**5/150 + w**4/60 + w**2. Suppose x(u) = 0. What is u?
-1, 0, 1
Let g be (1/(-2) + -1)*18. Let b be (-3)/(g/57) - 3. Determine z, given that 2/3*z**2 + 8/3 - 2/3*z**4 + 2/3*z**5 + 16/3*z - b*z**3 = 0.
-1, 2
Suppose 5*m + 19 = -21. Let a be ((-2)/4)/(2/m). Solve 2*b**a + b - b - 2*b**4 = 0.
-1, 0, 1
Let l = 143/370 - -1/74. Suppose 0*x + 0*x**2 - l*x**3 + 4/5*x**4 + 0 - 2/5*x**5 = 0. Calculate x.
0, 1
Let u(w) be the third derivative of -w**8/1008 - 2*w**7/315 - w**6/72 - w**5/90 + w**2 - 1. Suppose u(h) = 0. Calculate h.
-2, -1, 0
Let 6/11*g**2 + 8/11 + 26/11*g = 0. What is g?
-4, -1/3
Let p(n) be the second derivative of -n**8/224 + n**6/40 - n**4/16 + 2*n**2 - 3*n. Let m(a) be the first derivative of p(a). Solve m(c) = 0 for c.
-1, 0, 1
Factor 5/2*x**4 + 2*x**2 - 13/2*x**3 + 0 + 2*x.
x*(x - 2)*(x - 1)*(5*x + 2)/2
Let -9*r**2 + 18*r + 3/2*r**3 - 12 = 0. What is r?
2
Suppose -1 + 4 = t. Let u(q) = q**3 + 3*q**2 - 2*q - 3. Let x be u(-3). Determine n, given that -n + 5*n**3 - x*n**t - n = 0.
-1, 0, 1
Let v(b) = -2*b + 16. Let a be v(7). Factor a*j**2 - 2*j**2 - 96*j**5 + 8*j**4 + 100*j**5 + 4*j**3.
4*j**3*(j + 1)**2
Let q(f) = f. Let b be q(-1). Let u be (-1 - 0)/(5/b). Factor 0 - 8/5*o**2 + 3/5*o**4 - u*o**3 - 4/5*o.
o*(o - 2)*(o + 1)*(3*o + 2)/5
Solve 7 + 4*o**2 - 22*o + 6*o**2 - 5*o**2 - 2*o**2 = 0.
1/3, 7
Let r(y) be the second derivative of -y**5/270 + y**4/54 - y**3/27 + 3*y**2/2 - y. Let i(j) be the first derivative of r(j). Factor i(b).
-2*(b - 1)**2/9
Let f(z) be the first derivative of z**4/10 + 4*z**3/5 + 9*z**2/5 + 8*z/5 + 50. Factor f(j).
2*(j + 1)**2*(j + 4)/5
Let r(c) be the third derivative of -1/210*c**7 + 1/120*c**6 + c**2 + 0*c + 1/60*c**5 + 0*c**3 + 0 - 1/24*c**4. Factor r(d).
-d*(d - 1)**2*(d + 1)
Let u(r) = r**3 + r**2 + r. Let b be u(0). Factor 0*o**2 + 1/3*o**4 + 0*o + b*o**3 + 0 - 1/3*o**5.
-o**4*(o - 1)/3
Let o(n) = n**3 - 6*n**2 - 5*n + 10. Let k(c) = 2*c**3 - 11*c**2 - 10*c + 19. Let w(a) = 4*k(a) - 7*o(a). Determine p so that w(p) = 0.
-2, 1, 3
Let -2*l**2 + 0*l**2 - 36*l - 3*l**2 + 4*l**2 - 324 = 0. Calculate l.
-18
Let -2*h**3 - 5*h**4 + 5*h**2 + 5*h**5 - h**3 - 2*h**3 = 0. What is h?
-1, 0, 1
Let u(t) be the first derivative of 0*t**3 + t**2 + 1 + t - 1/6*t**4. Let l(o) be the first derivative of u(o). Factor l(q).
-2*(q - 1)*(q + 1)
Let o(p) be the third derivative of p**7/35 - p**6/60 - 3*p**5/10 + 3*p**4/4 - 2*p**3/3 - 10*p**2. Factor o(u).
2*(u - 1)**2*(u + 2)*(3*u - 1)
Determine n, given that 0 + 32/5*n**4 - 6/5*n**5 - 32/5*n**2 + 2*n - 4/5*n**3 = 0.
-1, 0, 1/3, 1, 5
Suppose 2*x + 3 = 7. Let q be 24*(2 + (-42)/15 - -1). Find g such that 16/5 + 32/5*g + 8/5*g**3 + q*g**x + 1/5*g**4 = 0.
-2
Let y(q) = -4*q**4 + 4*q**3 + 2*q**2 - 6*q + 6. Let w(b) = -b**4 + b**3 + b**2 - b + 1. Let u(c) = -6*w(c) + y(c). Find m such that u(m) = 0.
-1, 0, 2
Let v(a) be the second derivative of a**5/40 - a**4/24 + 4*a. Factor v(f).
f**2*(f - 1)/2
Factor -4*j + 10 + 5*j**3 - j**3 - 7*j**2 - 5*j**2 + 2.
4*(j - 3)*(j - 1)*(j + 1)
Let z(k) be the third derivative of k**6/48 + k**5/12 - 5*k**4/16 - 15*k**2. Solve z(u) = 0 for u.
-3, 0, 1
Let q be 3*16/(-18) - (-3 - 0). Let i(x) be the first derivative of 0*x - 3 + q*x**3 + 1/2*x**2. Suppose i(f) = 0. What is f?
-1, 0
Let o be (-2)/(4/(-6) + 0). Suppose 2*q - 2 = 3*d - 2*d, 0 = -3*q - o*d + 12. Suppose 4*k**3 - 3*k**3 + 2*k**q - 2*k**3 - k = 0. Calculate k.
0, 1
Let p(z) = z**3 + z**2. Let q(g) = 6*g**3 - 14*g**2 - 147*g - 343. Let a(c) = 21*p(c) - 3*q(c). Let a(k) = 0. Calculate k.
-7
Let n(d) be the first derivative of -2*d**5/65 + 2*d**4/13 - 4*d**3/13 + 4*d**2/13 - 2*d/13 - 1. Solve n(c) = 0 for c.
1
Let z be (-38)/(-9) - 10/45. Factor 0*g - z*g**3 + 0 + 0 - 4*g**2 + 8*g.
-4*g*(g - 1)*(g + 2)
Let c(x) be the third derivative of x**8/504 - 4*x**7/315 + x**6/30 - 2*x**5/45 + x**4/36 + 3*x**2. Factor c(j).
2*j*(j - 1)**4/3
Let w = 142 - 283/2. Let 3/2*z**3 + 1/2*z**4 + w*z + 3/2*z**2 + 0 = 0. What is z?
-1, 0
Let n(i) = 5*i + 84. Let t be n(-16). Factor -4/9*u**t + 2/9*u**5 + 2/9*u**3 + 0*u**2 + 0 + 0*u.
2*u**3*(u - 1)**2/9
Factor -8 - 2*z**2 + 0*z**2 - 2*z**2 + 7*z + 5*z.
-4*(z - 2)*(z - 1)
Suppose -4/11*w - 2/11*w**3 + 0 + 6/11*w**2 = 0. What is w?
0, 1, 2
Let f(d) = -5*d**2 + 13*d + 6. Let s(h) = -3*h**2 + 6*h + 3. Let y(v) = 3*f(v) - 7*s(v). Let y(l) = 0. Calculate l.
-1/2, 1
Let z(t) = 3*t**4 + 11*t**3 + 11*t**2 + 9*t + 6. Let g(p) = -6*p**4 - 22*p**3 - 21*p**2 - 18*p - 13. Let j(o) = 4*g(o) + 9*z(o). Factor j(x).
(x + 1)**3*(3*x + 2)
Let t be (-1 + -11)*15/20. Let c = t - -19/2. Factor c*o**4 + 0*o - 1/2*o**2 + 0*o**3 + 0.
o**2*(o - 1)*(o + 1)/2
Suppose 3*d = w + 17 - 0, 4*d + 2*w - 6 = 0. Find s, given that 0*s - 7/4*s**3 + 0 + 1/2*s**2 + 5/4*s**d = 0.
0, 2/5, 1
Let t(f) be the first derivative of -13/6*f**3 - 3/4*f**4 - 3*f**2 - 4 - 1/10*f**5 - 2*f. Solve t(g) = 0 for g.
-2, -1
Let q(l) be the first derivative of -l**3/5 - 3*l**2/10 + 7. Factor q(p).
-3*p*(p + 1)/5
Let m(w) be the first derivative of w**4/12 - w**3/6 - 3*w + 5. Let y(i) be the first derivative of m(i). Factor y(s).
s*(s - 1)
Let x(c) be the first derivative of -c**8/1176 - 4*c**7/735 - c**6/84 - c**5/105 - c**2/2 - 2. Let v(l) be the second derivative of x(l). Factor v(b).
-2*b**2*(b + 1)**2*(b + 2)/7
Let 4/5 - t + 1/5*t**2 = 0. What is t?
1, 4
Let n be 0 + 0 - (-8 + 8). Determine u so that 2/5*u**4 + 2/5*u**5 + 0 + 0*u**2 + 0*u**3 + n*u = 0.
-1, 0
Let c(g) be the first derivative of g**4/24 + 2*g**3/9 + g**2/3 + 2. Factor c(s).
s*(s + 2)**2/6
Let c = 18 - 16. Suppose 0*x - x = 5*w, 3*x + c*w = 0. Factor 4/3*q**4 + 0*q + 1/3*q**2 + x + 5/3*q**3.
q**2*(q + 1)*(4*q + 1)/3
Determine v, given that 3*v**3 + 3/7*v**4 + 0 + 6*v**2 + 24/7*v = 0.
-4, -2, -1, 0
Let x = 49/220 + 3/110. Factor -1/2*l + x*l**2 + 0.
l*(l - 2)/4
Let w(j) be the second derivative of j**10/15120 - j**8/3360 + j**4/12 + 5*j. Let h(g) be the third derivative of w(g). Find x, given that h(x) = 0.
-1, 0, 