g(f) + 2*z(f). Solve y(o) = 0.
-2, -1, 0
Let i be -1 + 7 + 391/(-68). Factor 1/4*b**4 - 1/4*b - i*b**2 + 1/4*b**3 + 0.
b*(b - 1)*(b + 1)**2/4
Suppose 14*l**4 - 8*l - l**5 - 21*l**4 - 24*l**2 - l**2 + 5*l**2 - 18*l**3 = 0. Calculate l.
-2, -1, 0
Solve -8*w**2 - 2/17*w**4 - 72/17*w**3 + 0*w + 0 = 0 for w.
-34, -2, 0
Let i(v) be the second derivative of v**8/47040 + v**7/17640 - v**6/2520 + 7*v**4/6 + 4*v. Let c(d) be the third derivative of i(d). Factor c(r).
r*(r - 1)*(r + 2)/7
Let r(a) = 4*a**4 - 25*a**3 - 15*a**2 + 65*a + 115. Let o(y) = 3*y**4 - 17*y**3 - 10*y**2 + 43*y + 77. Let p(m) = 7*o(m) - 5*r(m). Let p(d) = 0. What is d?
-3, -2, 2
Suppose -4*w - 2*u + 92 = -32, -170 = -5*w + 5*u. Let j be 2/(w/(-56)) + (4 - 0). Factor -j + 1/4*g**2 - 1/4*g.
(g - 2)*(g + 1)/4
Let m(p) = -36*p**5 - 36*p**4 - 28*p + 28. Let j = -1 + -2. Let i(u) = -4*u**4 - 3*u - 4*u**5 - 5 + 7 + 1. Let r(d) = j*m(d) + 28*i(d). Factor r(g).
-4*g**4*(g + 1)
Let w(k) be the first derivative of -2/3*k + 7/6*k**2 - 3 - 1/3*k**3. Factor w(d).
-(d - 2)*(3*d - 1)/3
Let v(l) = 13*l - 309. Let o be v(25). Let m(g) be the first derivative of -o*g**2 + 12 - 2/3*g**6 + 4/5*g**5 + 5*g**4 - 16*g - 4/3*g**3. Factor m(b).
-4*(b - 2)**2*(b + 1)**3
Solve -18*g - 43*g**2 - 13*g + 168*g**3 + 32*g + 196*g**4 + 16*g**2 = 0 for g.
-1, 0, 1/14
Let f be 616/(-1078) + ((-216)/(-70))/4. Factor 1/5 + f*a**2 + 2/5*a.
(a + 1)**2/5
Let -159/7*p - 27/7 + 18/7*p**2 = 0. What is p?
-1/6, 9
Let o(b) be the second derivative of -5*b**4/48 - 35*b**3/12 - 225*b**2/8 - 33*b. Suppose o(d) = 0. Calculate d.
-9, -5
Let c(a) be the third derivative of a**5/15 - 4*a**4/3 + 32*a**3/3 - 47*a**2 - 2*a. Solve c(n) = 0 for n.
4
Suppose -8 = t + s - 3, -t - 3*s = 15. Factor t*c + 0 - 1/2*c**2.
-c**2/2
Let b(v) be the second derivative of -27/2*v**2 + 0 + 1/4*v**4 - 4*v**3 + 43*v. Determine l so that b(l) = 0.
-1, 9
Let b(x) be the second derivative of -4/9*x**4 + 2/45*x**6 + 0*x**2 + 0 + 8/9*x**3 - 1/15*x**5 + 4*x. Factor b(u).
4*u*(u - 2)*(u - 1)*(u + 2)/3
Let l(b) = -b**2 - 3*b. Let m(s) = 25*s**2 - 14*s. Let p(r) = -4*l(r) + m(r). Factor p(j).
j*(29*j - 2)
Let u(b) be the third derivative of -b**5/60 - 5*b**4/24 + b**3 + 8*b**2. Find w, given that u(w) = 0.
-6, 1
Find d such that -190/9*d - 2/9*d**2 + 0 = 0.
-95, 0
Suppose 4*b = 4*j + 168, 2*b + 4*j = 67 + 5. Determine x so that 42*x**2 + 4*x**4 - b*x**3 - 50 - x**4 + 40*x + x**4 + 4*x**4 = 0.
-1, 1, 5/2
Let r(j) = 8*j**2 + 339*j + 128. Let o be r(-42). Let q(h) = 2*h - 8. Let d be q(6). Determine s so that 0 + 0*s + 2/7*s**o - 2/7*s**d + 0*s**3 = 0.
-1, 0, 1
Let n = 8566 + -162744/19. Factor -8/19*a**2 - 4/19 + 2/19*a**3 + n*a.
2*(a - 2)*(a - 1)**2/19
Let n(f) = 10*f**2 + 30*f - 34. Let p(y) = 21*y**2 + 59*y - 67. Let k(z) = 13*n(z) - 6*p(z). Determine q, given that k(q) = 0.
-10, 1
Let t = -6276/5 + 1260. Determine m, given that -t*m**2 + 4*m - 6/5 - 2/5*m**4 + 12/5*m**3 = 0.
1, 3
Let l(x) be the first derivative of 245*x**6/6 - 469*x**5 + 4955*x**4/4 + 3845*x**3/3 - 1600*x**2 + 500*x - 53. Determine y, given that l(y) = 0.
-1, 2/7, 5
Let z(b) be the second derivative of -b**5/60 + b**4/6 + 4*b**2 + 16*b. Let c(p) be the first derivative of z(p). Factor c(h).
-h*(h - 4)
Suppose t - 3*i + 4 = 0, 0*t + i = 5*t - 22. Factor -11*p**2 - 5*p**4 - p**2 + 20 + 40*p + 17*p**2 + t*p**5 - 25*p**3.
5*(p - 2)**2*(p + 1)**3
Determine t, given that -51/5*t**2 + 57/5*t - 57/5*t**3 - 3/5*t**4 + 54/5 = 0.
-18, -1, 1
Let f(u) be the second derivative of u**4/6 + 11*u**3/3 - 12*u**2 + 25*u. What is g in f(g) = 0?
-12, 1
Let b(y) = 5*y**3 - 10*y - 5. Let g(v) = -8*v + 2 + 7*v + 2*v - 1. Let k(u) = -b(u) - 5*g(u). Factor k(p).
-5*p*(p - 1)*(p + 1)
What is p in -2/9*p + p**3 + 0 - 13/9*p**4 + 1/9*p**2 + 5/9*p**5 = 0?
-2/5, 0, 1
Let u(z) = z**3 + 16*z**2 + 30*z + 30. Let a be u(-14). Let s be a/(-6) + -42*(-4)/180. Factor -1/5*v**2 + s - 2/5*v.
-(v - 1)*(v + 3)/5
Let t = 5753/2 - 2785. Let f = t - 91. Factor -d**3 - 2*d + 5/2*d**2 + f.
-(d - 1)**2*(2*d - 1)/2
Suppose -9 = -9*m + 18. Factor 10*w - m*w + 3*w**3 + 12*w**2 + 5*w.
3*w*(w + 2)**2
Let t(z) = 18*z**2 + z. Let u be t(1). Suppose 3*s + 9 = -j - 2*j, 3*j = -5*s - u. Find f such that -147/5*f**j - 12/5 - 84/5*f = 0.
-2/7
Let j be 33/9 + -4 - 2/(-4). Let h = 119/30 - 19/5. Let 1/6*a - 1/6*a**3 + 0 - j*a**2 + h*a**4 = 0. What is a?
-1, 0, 1
Factor -12*y**4 + 36*y + 12*y + 968*y**2 - 3*y**5 - 920*y**2.
-3*y*(y - 2)*(y + 2)**3
Suppose -24 + 58*b + b**4 - 42*b**3 - 23*b**3 - 7*b**4 + 29*b**2 + 7*b**3 + b**4 = 0. What is b?
-12, -1, 2/5, 1
Let o(j) be the second derivative of j**6/90 - 3*j**5/20 + 7*j**4/12 - 19*j**3/18 + j**2 + 14*j + 2. Factor o(l).
(l - 6)*(l - 1)**3/3
Let t(w) be the first derivative of w**6/60 + 39*w**5/50 + 21*w**4/4 + 202*w**3/15 + 66*w**2/5 - 431. Factor t(c).
c*(c + 2)**3*(c + 33)/10
Factor 0*s + 8/7*s**2 + 0 + 10/7*s**4 - 16/7*s**3 - 2/7*s**5.
-2*s**2*(s - 2)**2*(s - 1)/7
Let p(k) be the first derivative of 2*k**5/5 + 3*k**4/2 + 2*k**3/3 - 3*k**2 - 4*k + 411. Suppose p(b) = 0. Calculate b.
-2, -1, 1
Let w(m) be the third derivative of m**5/20 - 21*m**4/4 + 117*m**3/2 + 251*m**2. Factor w(q).
3*(q - 39)*(q - 3)
Factor 1/4*q**2 - 5 + 1/4*q.
(q - 4)*(q + 5)/4
Let q(z) be the second derivative of -z**6/15 + z**5/10 + 245*z. Factor q(p).
-2*p**3*(p - 1)
Let o = -10 - -6. Let p be 2 + o + (1 - -7). Let x(s) = 6*s**2 + 2*s - 5. Let m(v) = -7*v**2 - 2*v + 6. Let b(l) = p*x(l) + 5*m(l). Factor b(i).
i*(i + 2)
Suppose 3*g + 8 = 5*m, -2*g + 2*m = 2*g - 8. Suppose 2*b - 14 = -8*x + 3*x, g*b = 2*x + 4. Factor -b - 5 + 3 - 3*u - u**2 + 2.
-(u + 1)*(u + 2)
Let i = -3 - -9. Suppose 3 = f - i. Determine u so that -u**3 + 3*u + 0*u**3 - f*u**2 + 10*u**3 - 3*u**4 = 0.
0, 1
Let u(o) be the second derivative of 0 - 1/147*o**7 + 0*o**5 - 2/105*o**6 + 1/21*o**4 + 0*o**2 + 1/21*o**3 - 46*o. What is b in u(b) = 0?
-1, 0, 1
Let g(c) be the third derivative of c**6/60 + 7*c**5/30 + 7*c**4/12 - 5*c**3 + 7*c**2 + 5. Let g(a) = 0. Calculate a.
-5, -3, 1
Let m be (-18)/(-14) - (6/(-69) - (-575)/529). Factor m*l**3 + 48/7 - 20/7*l**2 - 8/7*l + 2/7*l**4.
2*(l - 2)**2*(l + 2)*(l + 3)/7
Let c(y) be the first derivative of -y**6/30 - y**5/20 + y**4/4 + y**3/6 - y**2 - 12*y + 2. Let i(t) be the first derivative of c(t). Factor i(p).
-(p - 1)**2*(p + 1)*(p + 2)
Let o(v) be the first derivative of 0*v**3 + 1/2*v**2 - 1/20*v**5 + 0*v - 3/16*v**4 + 17. Find p, given that o(p) = 0.
-2, 0, 1
Let n(g) = -g**2 - 10*g - 11. Let c be n(-8). Suppose 2*u = -c*w + 31, -2*u - u + w = -21. Factor 4*z**2 + 7 - 3 - 8*z**4 - 10*z + 0*z**2 + u*z**3 + 2*z**5.
2*(z - 2)*(z - 1)**3*(z + 1)
Suppose 1/6*q**3 + 0*q**2 - 7/6*q + 1 = 0. What is q?
-3, 1, 2
Suppose 3*l = -9, 3*l = -2*n + 30 - 3. Suppose n = -3*o + 5*o. Factor -5*g**2 + o*g - 10*g - 19*g.
-5*g*(g + 4)
Let b(s) be the second derivative of s**5/50 + s**4/3 + 3*s**3/5 - 93*s. Factor b(l).
2*l*(l + 1)*(l + 9)/5
Suppose 7*w - 599 = -578. Let x(o) be the third derivative of 1/90*o**6 + 8*o**2 + 0*o + 0 + 0*o**4 - 1/9*o**w + 1/30*o**5. Solve x(c) = 0.
-1, 1/2
Factor -2*x**2 - 17002 + 5*x**2 + 16966 - 3*x.
3*(x - 4)*(x + 3)
Let n(w) be the second derivative of -47*w**4/3 - 32*w**3 - 2*w**2 - 258*w. Determine k so that n(k) = 0.
-1, -1/47
Let r(x) be the second derivative of 5*x**4/12 + 35*x**3/6 + 30*x**2 - 290*x. Factor r(a).
5*(a + 3)*(a + 4)
Determine h so that -25/7*h**2 + 11/7*h + 12/7 + 2/7*h**3 = 0.
-1/2, 1, 12
Let a(z) = -3*z - 30. Let f be a(-9). Let s = f - -11/3. Factor 4/3*m + s + 2/3*m**2.
2*(m + 1)**2/3
Factor 0 - 41/7*b + 1/7*b**2.
b*(b - 41)/7
Let a(r) = -4*r**2 + r - 1. Let q(g) be the third derivative of -g**5/12 + g**4/12 - g**3/6 - 11*g**2. Let f(p) = -4*a(p) + 3*q(p). Factor f(j).
(j + 1)**2
What is l in 3/5*l**2 - 3/5*l**4 + 0 + 1/5*l**3 + 0*l - 1/5*l**5 = 0?
-3, -1, 0, 1
Let r(d) be the first derivative of 13 + 0*d**4 - 1/3*d**6 - 4/3*d**3 + 0*d + d**2 + 4/5*d**5. Factor r(b).
-2*b*(b - 1)**3*(b + 1)
Let c(r) = 2*r**2 + 110*r + 103. Let w(x) = x**2 + 109*x + 104. Let i(d) = 4*c(d) - 5*w(d). Factor i(n).
3*(n - 36)*(n + 1)
Let m(w) = -w**2 + w + 1. Let x(u) = -8*u**2 - 2*u - 3. Let o(c) = -1. Let a(d) = 3*o(d) - x(d). Let s(k) = -a(k) - 6*m(k). Let s(q) = 0. What is q?
-3, -1
Let f be (-11)/(