*2 + 0*u - 12*u**3 + 0 + 3/7*u**4 = 0. What is u?
0, 28
Let w = 48 + 14. Let j be (w/(-155))/(3/(-5)). Factor 2/3*c**5 - j*c**3 + 0 + 0*c + 2/3*c**4 - 2/3*c**2.
2*c**2*(c - 1)*(c + 1)**2/3
Let m be 3477/(-38) + (1/(-2) - -1). Let u be m/(-26) + (-6)/4. Let 2/15*t**3 - 2/5*t + 4/15 + 0*t**u = 0. Calculate t.
-2, 1
Let k(v) be the third derivative of v**8/112 - v**7/7 - v**6/2 + 11*v**5/2 - 125*v**4/8 + 22*v**3 - 59*v**2 + 2. Find b such that k(b) = 0.
-4, 1, 11
Factor 15/8*m + 3/8*m**2 - 21/4.
3*(m - 2)*(m + 7)/8
Let x(l) = 16*l. Let q be x(3). Factor -9*g + 144 + 0*g**2 + 4*g**2 + 9*g - q*g.
4*(g - 6)**2
Let c = -8 + 10. Factor 2*y - 1 + 6*y + c*y + 2*y**2 - 11.
2*(y - 1)*(y + 6)
Suppose -5*g = k + 5, 130*g - 135*g = -5*k + 5. What is q in 3/5*q**4 - 3/5*q**3 + 0*q + 3/5*q**5 - 3/5*q**2 + k = 0?
-1, 0, 1
Let w(q) = 8*q**2 + 8*q + 6. Let g be w(-2). Let v be -5 + -1*g/(-4). Let -15/2*n**5 + 0*n + v*n**3 + 0 + n**2 - 8*n**4 = 0. Calculate n.
-1, -2/5, 0, 1/3
Let u(w) = -5*w**4 + 116*w**3 + 972*w**2 - 8*w + 8. Let y(p) = -2*p**4 + 39*p**3 + 324*p**2 - 3*p + 3. Let x(c) = -3*u(c) + 8*y(c). Let x(t) = 0. What is t?
-18, 0
Suppose 2*d + 2 = u - 3*d, -3*d = 0. Suppose -10*k = -u*k - 16. Factor -9/5*o**3 + 6/5 + 9/5*o - 6/5*o**k.
-3*(o - 1)*(o + 1)*(3*o + 2)/5
Let r(a) be the second derivative of 0*a**2 - 1/18*a**4 + a - 1/10*a**5 + 0*a**3 + 0 - 1/15*a**6 - 1/63*a**7. Factor r(d).
-2*d**2*(d + 1)**3/3
Let n(w) be the first derivative of w**3/5 + 49*w**2/10 + 16*w/5 + 330. Solve n(p) = 0 for p.
-16, -1/3
Factor 2/5*b**2 + 0 + 4/5*b**3 - 2/5*b**4 - 4/5*b.
-2*b*(b - 2)*(b - 1)*(b + 1)/5
Let j = 287/220 + -3/55. Let l(a) be the first derivative of 0*a**2 + 0*a + 2/3*a**3 + 2 - j*a**4. Factor l(s).
-s**2*(5*s - 2)
Let t(n) be the first derivative of 8 + 1/540*n**6 + 1/36*n**4 + 10/3*n**3 + 0*n + 0*n**2 - 1/90*n**5. Let g(i) be the third derivative of t(i). Factor g(p).
2*(p - 1)**2/3
Let y(j) = -j**4 - j**3 + 2*j**2 - 3. Let d(h) = -1. Let z(c) = 3*d(c) - y(c). Factor z(p).
p**2*(p - 1)*(p + 2)
Find m such that -15/2*m**2 - 1/3*m**4 - 9/2*m + 9/2 - 17/6*m**3 = 0.
-3, 1/2
Let k(q) = -13*q**3 - 56*q**2 - 24*q - 27. Let j(u) = -7*u**3 - 30*u**2 - 12*u - 14. Let h(m) = 11*j(m) - 6*k(m). Factor h(s).
(s + 2)**3
Let r(v) be the first derivative of 0*v**3 + 4*v + 0*v**2 - 2 + 1/48*v**4. Let f(b) be the first derivative of r(b). Factor f(o).
o**2/4
Let l = 623 - 621. Let -2/11*i**l + 2/11 + 0*i = 0. What is i?
-1, 1
Let n(s) = 11*s + 68. Suppose 3*t + 12 + 6 = 0. Let h be n(t). Factor 10/3 + 5*f + 5/3*f**h.
5*(f + 1)*(f + 2)/3
Let z be 64050/8000 + (-8)/1. Let k(q) be the third derivative of 0*q**5 + 0*q**4 + 0*q**3 + z*q**6 + 0*q - 6*q**2 + 0. Factor k(u).
3*u**3/4
Let r(x) be the first derivative of 5*x**4/8 - x**3 - 2*x**2 - 513. Suppose r(h) = 0. What is h?
-4/5, 0, 2
Let j(y) be the first derivative of y**9/3024 - y**8/280 + 13*y**7/840 - y**6/30 + y**5/30 - 4*y**3 + 10. Let a(i) be the third derivative of j(i). Factor a(x).
x*(x - 2)**2*(x - 1)**2
Determine y so that 0 + 0*y**2 + 5/6*y**3 + 0*y - 1/6*y**4 = 0.
0, 5
Let v be -3 + 8*36/48. Suppose 0 + w**2 + 1/3*w**5 - w**4 - 2/3*w + 1/3*w**v = 0. What is w?
-1, 0, 1, 2
Let y = 571 + -2281/4. Let r(w) = w**3 - 5*w**2 - 2*w + 10. Let d be r(5). Suppose 0 - 3/4*n**3 - y*n**2 + d*n = 0. What is n?
-1, 0
Factor -3/2*y - 1/2*y**2 + 1/2*y**4 + 0 + 3/2*y**3.
y*(y - 1)*(y + 1)*(y + 3)/2
Let o be (0 - -1)/((-3)/12*-2). Suppose 0 = -4*t + o*a, a = 5*t + 6*a. Determine l, given that t + 3/2*l**2 + l - 5*l**3 - 5*l**5 - 21/2*l**4 = 0.
-1, -1/2, 0, 2/5
Suppose -5*q + 42 = -5*u - 3, -q - 3*u - 7 = 0. Let t(m) be the third derivative of -1/36*m**4 - 1/90*m**q + 0*m**3 + 0 + 0*m + 8*m**2. Factor t(f).
-2*f*(f + 1)/3
Factor 5*f**2 - 10*f**3 - 7*f**3 - 11*f**3 + 33*f**3.
5*f**2*(f + 1)
Let t be (-92)/(-20) + -4 - (-42)/(-70). Find b such that -4*b**2 + t + 6*b + 2/3*b**3 = 0.
0, 3
Let i(a) be the first derivative of 5*a**6/6 - 9*a**5 + 75*a**4/4 - 35*a**3/3 + 265. Factor i(k).
5*k**2*(k - 7)*(k - 1)**2
Let f = 857 + -857. Let f + 98/17*i + 2/17*i**3 - 28/17*i**2 = 0. What is i?
0, 7
Let o(w) = 5*w**2 - 3*w + 4. Let d(t) = 14*t**2 - 9*t + 11. Let b(z) = 3*d(z) - 8*o(z). Let r be b(2). Factor 3*s**2 + 66*s**3 - 2*s**2 + s - 67*s**r - s**4.
-s*(s - 1)*(s + 1)**2
Let f(w) = 30*w - 180. Let u be f(6). What is g in 4/7*g - 2/7*g**3 + u + 2/7*g**2 = 0?
-1, 0, 2
Let b(p) = -2*p**3 + 9*p**2 - 3*p - 6. Let a be b(3). Suppose 2*r + 8 = a. Find m such that 4/11 + 26/11*m**r - 8/11*m**3 - 2*m = 0.
1/4, 1, 2
Let p(v) be the second derivative of 0*v**2 + 1/9*v**3 + 0*v**4 + 0 - 1/30*v**5 - 6*v. Factor p(z).
-2*z*(z - 1)*(z + 1)/3
Let c(z) = -2*z**3 + 24*z**2 - 90*z + 128. Let l(g) = 2*g. Let x(j) = 2*c(j) - 6*l(j). Factor x(m).
-4*(m - 4)**3
Suppose -176/5*w + 1/5*w**2 + 35 = 0. Calculate w.
1, 175
Let i(z) = -z**4 + z**2 - 1. Let b(m) = 2*m**5 - 26*m**4 + 28*m**3 + 470*m**2 + 738*m + 326. Let n(d) = -2*b(d) - 4*i(d). Suppose n(l) = 0. Calculate l.
-2, -1, 9
Let m(t) = 50*t**2 + 50*t - 135. Let o(u) = -3*u**2 - 3*u + 8. Suppose -89 = 6*s + 121. Let v(a) = s*o(a) - 2*m(a). Determine f so that v(f) = 0.
-2, 1
Let c = 270 + -1619/6. Let v(a) be the second derivative of 0 - 11/30*a**6 + 6*a + 0*a**2 - c*a**3 + 2/21*a**7 - 1/12*a**4 + 9/20*a**5. Factor v(s).
s*(s - 1)**3*(4*s + 1)
Let k(o) = o**2 - o + 1. Let z(r) = 2*r**2 - 29*r - 16. Let h(w) = 5*k(w) - z(w). What is d in h(d) = 0?
-7, -1
Let f(r) be the first derivative of r**5/10 + 3*r**4/8 - 8*r**3/3 + 3*r**2 - 387. Solve f(m) = 0 for m.
-6, 0, 1, 2
Let f(l) be the second derivative of -l**5/240 + l**4/96 + l**3/12 + l**2 - l + 24. Let w(m) be the first derivative of f(m). Factor w(h).
-(h - 2)*(h + 1)/4
Let v(d) be the first derivative of -1/6*d**3 - 1/2*d**2 + 0*d + 12. Factor v(o).
-o*(o + 2)/2
Let c be -4 - (-1)/((-5)/10). Let b be ((-3)/(-1))/18 + (-11)/c. Solve 2/3*d - 1/3*d**b - 1/3 = 0.
1
Suppose 11*x = -4*t + 14*x, 4*x - 16 = 0. Let s(d) be the second derivative of 1/66*d**4 - d + 1/33*d**t + 0*d**2 + 0. Determine w, given that s(w) = 0.
-1, 0
Let i(r) be the first derivative of 1/2*r**4 - 4*r + 13 - 5*r**2 + 2/5*r**5 - 2*r**3. Factor i(g).
2*(g - 2)*(g + 1)**3
Let b(g) be the third derivative of g**8/112 - g**7/14 - 3*g**6/20 - 5*g**2 + 11*g. What is z in b(z) = 0?
-1, 0, 6
What is h in 34/9 + 1/3*h**2 + 103/9*h = 0?
-34, -1/3
Let j(y) be the second derivative of -y**7/210 - y**6/30 + 3*y**5/50 + 8*y**4/15 - 16*y**3/15 - 64*y + 1. Let j(g) = 0. What is g?
-4, 0, 1, 2
Let s(q) = -8*q**2 + 7*q - 2. Let y(n) = 9*n**2 - 6*n + 1. Let f(t) = -6*s(t) - 7*y(t). Let v(m) = 7*m**2 - 2. Let h(r) = -2*f(r) - 5*v(r). Factor h(w).
-5*w**2
Let g = 3174 - 3172. Let 2/11*l**g + 8/11*l + 6/11 = 0. Calculate l.
-3, -1
Let t(v) be the first derivative of 50/3*v + 2/9*v**3 - 15 + 10/3*v**2. Factor t(p).
2*(p + 5)**2/3
Factor 0 - 8/7*h**3 - 2/7*h**2 + 0*h.
-2*h**2*(4*h + 1)/7
Let n(i) = i**3 + 2*i**2 + 18. Let p be n(0). Let h = p + -15. Solve 0*u + 3/2*u**2 - 3/2*u**5 + 3/2*u**h - 3/2*u**4 + 0 = 0 for u.
-1, 0, 1
Let r = 1500 + -1500. Let t(d) be the second derivative of 1/3*d**4 - 4*d**2 + 6*d + r - 2/3*d**3. Factor t(z).
4*(z - 2)*(z + 1)
Suppose 8 + 58 = 17*p - 19. Factor 4/3*r**p + 256/3*r + 80*r**3 + 448/3*r**2 + 0 + 52/3*r**4.
4*r*(r + 1)*(r + 4)**3/3
Let q be (-8)/(4*2/(-4)). Suppose -3*m + 5 = -4*a, q*a - 19 = -2*m - 3*m. Solve 2/3*k**m - 4/3*k**2 + 0*k + 0 = 0.
0, 2
Let v(g) be the first derivative of g**4/108 + 8*g**3/27 + 32*g**2/9 + 42*g + 12. Let r(k) be the first derivative of v(k). Factor r(t).
(t + 8)**2/9
Suppose -3*y = -8*y. Let g(p) be the third derivative of 0 - 1/100*p**5 + 9*p**2 + 0*p**4 + 1/10*p**3 + y*p. Solve g(t) = 0.
-1, 1
Let i(z) be the third derivative of z**8/448 + z**7/56 - z**6/160 - z**5/16 + 3*z**2 + z. Find b, given that i(b) = 0.
-5, -1, 0, 1
Let i(r) be the second derivative of -r**7/7 - 43*r**6/15 + 129*r**5/10 - 39*r**4/2 + 34*r**3/3 - 602*r. Solve i(v) = 0.
-17, 0, 2/3, 1
Let r(z) be the third derivative of -5*z**8/1344 + z**7/280 + 7*z**6/480 - z**5/80 - z**4/48 - 35*z**2 - 2. Suppose r(n) = 0. Calculate n.
-1, -2/5, 0, 1
Let z(i) be the third derivative of i**7/525 + 3*i**6 + 2025*i**5 + 759375*i**4 + 170859375*i**3 - 8*i**2 - 40*i. Suppose z(o) = 0. What