 that u(o) = 0.
-1, 1/3, 2/3
Let d = 1790/2007 + -2/669. Let i(m) be the first derivative of -1/3*m**2 + 8/15*m**5 + 0*m - m**4 + 1 + d*m**3 - 1/9*m**6. Factor i(y).
-2*y*(y - 1)**4/3
Factor 2/9*j**2 - 2/9*j**4 + 2/9*j**5 + 0*j + 0 - 2/9*j**3.
2*j**2*(j - 1)**2*(j + 1)/9
Suppose 8 + 7 = -5*n, n + 11 = 4*y. What is k in -1 + y*k**2 + 0*k**2 + 0 - k**2 = 0?
-1, 1
Let h be 34/(-5) - 3/15. Let q = h - -9. Suppose g + 0*g**3 + q*g**3 + g**3 - 4*g**3 = 0. What is g?
-1, 0, 1
Solve -39*n + 147/4*n**3 + 105/2*n**2 + 6 = 0 for n.
-2, 2/7
Let f(a) be the third derivative of 1/60*a**4 + 0*a + 0*a**3 - 1/150*a**5 + 0 - a**2. Factor f(g).
-2*g*(g - 1)/5
Determine x so that -2/3*x - 1/3*x**4 + 0 - x**3 + 1/3*x**5 + 5/3*x**2 = 0.
-2, 0, 1
Let p(s) = 2*s**2 + 5*s + 3. Let i(m) = -6*m**2 - 16*m - 10. Let f(x) = 5*i(x) + 16*p(x). Factor f(g).
2*(g - 1)*(g + 1)
Let b(n) = n. Suppose 13*y + 4 = 9*y. Let l(g) = 3*g**3 + 21*g**2 + 30*g - 48. Let d(v) = y*l(v) + 6*b(v). Factor d(j).
-3*(j - 1)*(j + 4)**2
Let w = 169 + -837/5. What is v in 68/5*v**4 + 0 - w*v + 42/5*v**5 + 2/5*v**3 - 32/5*v**2 = 0?
-1, -2/7, 0, 2/3
Let v(b) be the first derivative of -3*b**4/4 + 3*b**3 - 12*b - 19. Factor v(f).
-3*(f - 2)**2*(f + 1)
What is w in 0 - 1/2*w**4 - 9/2*w**3 - 27/2*w - 27/2*w**2 = 0?
-3, 0
Let w(o) = 29*o**3 + 73*o**2 + 71*o + 17. Let d(z) = 72*z**3 + 183*z**2 + 177*z + 42. Let s(h) = -5*d(h) + 12*w(h). Suppose s(c) = 0. Calculate c.
-2, -1, -1/4
Let d(n) be the second derivative of -n**4/18 + 4*n**3/9 - n**2 + 4*n. Factor d(h).
-2*(h - 3)*(h - 1)/3
Let a(q) be the first derivative of 3*q**4/16 + 2*q**3 + 39*q**2/8 + 9*q/2 + 21. Determine v so that a(v) = 0.
-6, -1
Let m(d) be the first derivative of -2*d**5/25 - d**4/5 - 2*d**3/15 - 16. Factor m(a).
-2*a**2*(a + 1)**2/5
Let l(w) be the first derivative of -w**6/21 + 4*w**5/35 - 4*w**3/21 + w**2/7 - 5. Determine q, given that l(q) = 0.
-1, 0, 1
Let h(t) = -t**4 - 7*t**3 - 21*t**2 - 24*t - 9. Let p(a) be the second derivative of a**5/20 + a**4/12 - 7*a. Let w(j) = 2*h(j) - 2*p(j). Factor w(b).
-2*(b + 1)**2*(b + 3)**2
Suppose 19 = g + 19. Factor g - 3/2*o**2 - o**3 + 3/2*o**4 + o.
o*(o - 1)*(o + 1)*(3*o - 2)/2
Let h(w) be the second derivative of -3*w**7/14 - 7*w**6/10 - 3*w**5/10 + 3*w**4/2 + 5*w**3/2 + 3*w**2/2 + 3*w. Let h(b) = 0. Calculate b.
-1, -1/3, 1
Suppose 6 = -5*w + 4*x, 0*w + w - x + 1 = 0. Let p be 0/w + (3 - 3). Let p*q**3 + 0 + q**4 - 3/4*q**2 - 1/4*q = 0. Calculate q.
-1/2, 0, 1
Let -5*p**5 + 5902*p + 18*p**3 - 3*p**2 - p**5 - 5908*p - 3*p**4 = 0. Calculate p.
-2, -1/2, 0, 1
Let r(p) be the first derivative of p**6/18 - p**5/15 - p**4/6 + 7. Solve r(l) = 0 for l.
-1, 0, 2
Let p(i) = i**3 - i - 1. Let f(d) = -3*d**3 - 2*d**2 - 5*d - 1. Let q(s) = f(s) + 5*p(s). Factor q(b).
2*(b - 3)*(b + 1)**2
Let b(f) = -f**2. Let s(h) = h**2 - 2*h. Let y(j) = 3*b(j) - s(j). Factor y(g).
-2*g*(2*g - 1)
Suppose 20 = -3*x - 5*m, -m - 2 = -4*x + 2. Find q, given that 3/4*q**5 - 2*q + 7/2*q**3 + 13/4*q**4 + x - q**2 = 0.
-2, -1, 0, 2/3
Let a(p) be the first derivative of 2*p**6/3 + 12*p**5/5 + 2*p**4 + 9. Solve a(w) = 0 for w.
-2, -1, 0
Let g = -98 - -98. Suppose 3/2*d**2 + g*d - 3/2 = 0. What is d?
-1, 1
Factor 0*m**2 + 2*m**2 + m**2 - 6*m**2 - 3*m.
-3*m*(m + 1)
Let h(i) be the third derivative of i**7/525 - i**6/75 + i**5/50 + i**4/15 - 4*i**3/15 + 20*i**2. Let h(n) = 0. What is n?
-1, 1, 2
Let b(o) be the third derivative of o**6/480 + o**5/40 + o**4/8 + o**3/3 + 11*o**2. Factor b(d).
(d + 2)**3/4
Let r(t) = t**5 + t**3 + t**2. Let c(w) = 14*w**5 + 8*w**4 + 18*w**3 + 4*w**2 - 8*w. Let g(j) = c(j) - 12*r(j). Factor g(f).
2*f*(f - 1)*(f + 1)*(f + 2)**2
Let n(h) be the third derivative of h**7/105 - h**5/30 + 8*h**2. What is q in n(q) = 0?
-1, 0, 1
Let h(f) = -45*f**2 - 90*f + 35. Let d(c) = 5*c**2 + 10*c - 4. Let v(z) = -35*d(z) - 4*h(z). Determine s so that v(s) = 0.
-2, 0
Let q(m) = -2*m. Let j be q(-2). Suppose t**2 - 2*t**3 - 2 + t**j + 2 = 0. What is t?
0, 1
Let q be 1 + (3 - 5)/(-2). Factor 4*o**2 + o**2 - 4*o**2 + 8*o + 3*o**q + 4.
4*(o + 1)**2
Let g(s) = 5*s**5 + 22*s**4 + 18*s**3 + 5*s**2 + s - 3. Let k(y) = -y**5 + y**2 + y - 1. Let q(w) = g(w) - 3*k(w). Factor q(h).
2*h*(h + 1)**3*(4*h - 1)
Let o(w) be the second derivative of -w**9/9072 + w**7/1260 - w**5/360 - w**3/6 + 5*w. Let p(g) be the second derivative of o(g). Factor p(q).
-q*(q - 1)**2*(q + 1)**2/3
Solve 0 + 2*g + 2/3*g**2 = 0.
-3, 0
Let x(y) be the third derivative of y**7/210 + y**6/60 + y**5/60 - 4*y**2. Factor x(d).
d**2*(d + 1)**2
Let x(y) be the second derivative of -1/30*y**5 + 1/9*y**3 + 5*y + 0 + 1/90*y**6 + 0*y**2 - 1/36*y**4. Factor x(h).
h*(h - 2)*(h - 1)*(h + 1)/3
Let x(n) = 10*n**5 - 6*n**4 + 13*n**2 + 4*n + 7. Let a(w) = -7*w**5 + 4*w**4 - 9*w**2 - 3*w - 5. Let b(r) = -7*a(r) - 5*x(r). Determine y, given that b(y) = 0.
-1, 0, 1
Let b(v) be the first derivative of v**5/30 + v**4/12 - 2*v**3/3 - v**2 - 2. Let f(y) be the second derivative of b(y). What is l in f(l) = 0?
-2, 1
Let l(x) be the third derivative of 0*x + 3*x**2 + 1/30*x**5 - 1/6*x**4 + 0 + 1/3*x**3. Factor l(o).
2*(o - 1)**2
Determine w, given that 0 - 1/3*w**2 - 2/3*w = 0.
-2, 0
Let q = -189 - -189. Factor 0 + q*o**2 + 2/9*o**3 - 2/9*o.
2*o*(o - 1)*(o + 1)/9
Let 60/11*k**2 - 30/11*k**4 + 6/11*k - 30/11 - 12/11*k**3 + 6/11*k**5 = 0. Calculate k.
-1, 1, 5
Factor 0 - 1/4*v**4 + 1/4*v**5 - 1/4*v**3 + 0*v + 1/4*v**2.
v**2*(v - 1)**2*(v + 1)/4
Let r(m) = 5*m + 4. Let f(b) = -b - 1. Let q(d) = -4*f(d) - r(d). Let h(g) = -4*g**2 - 2*g + 2. Let w(t) = -h(t) + 4*q(t). Suppose w(u) = 0. What is u?
-1/2, 1
Suppose 6*l**4 - 22*l**4 + 8*l - 2 + 64*l**3 + 36*l - 6 - 84*l**2 = 0. What is l?
1/2, 1, 2
Determine f so that -6/5*f + 0 + 6/5*f**3 - 16/5*f**2 = 0.
-1/3, 0, 3
Let j(p) be the third derivative of -2/5*p**3 + 1/10*p**4 + 0*p + 11/100*p**5 - 3/100*p**6 + 2*p**2 + 0 - 9/350*p**7. Factor j(n).
-3*(n + 1)**2*(3*n - 2)**2/5
Let h(d) be the second derivative of d**6/540 - d**5/45 + d**4/12 - 5*d**3/6 - 5*d. Let g(b) be the second derivative of h(b). Factor g(w).
2*(w - 3)*(w - 1)/3
Find k such that -292/5*k**3 + 148/5*k**4 - 112/5*k + 268/5*k**2 - 28/5*k**5 + 16/5 = 0.
2/7, 1, 2
Suppose -9*b**2 - 7*b**2 - 101 + 4*b**3 - 4*b + 117 = 0. Calculate b.
-1, 1, 4
Let p = -352 + 1411/4. Determine r, given that 3/4*r**3 + 0*r + 0 + p*r**2 = 0.
-1, 0
Let b(l) be the second derivative of 3*l**5/20 - l**4 + 5*l**3/2 - 3*l**2 + 4*l. Find n such that b(n) = 0.
1, 2
Let a(z) = -2*z**2 - 8*z + 2. Let l be a(-4). Suppose 0 + 1/3*v**3 - 2/3*v**l + 1/3*v = 0. Calculate v.
0, 1
Let a(u) be the third derivative of u**6/660 + u**5/165 - 24*u**2. Factor a(r).
2*r**2*(r + 2)/11
Factor -6*j**3 - 6*j**2 - 3*j**4 + 15*j + j**4 - 17*j.
-2*j*(j + 1)**3
Suppose 11 = u - h + 3*h, 5*h - 27 = -2*u. Let v(p) = 4*p - 1. Let a be v(u). Determine k so that 3*k - 2*k**3 + 3*k**2 - 2 + a*k**3 + 3 = 0.
-1
Let s be 2/(-4) - ((-88)/32 + 2). Let 1/4*v**2 - s*v**3 + 0*v + 0 = 0. What is v?
0, 1
Let f(q) be the second derivative of -5*q**7/42 + q**6/2 - 5*q**4/3 - 12*q. Factor f(b).
-5*b**2*(b - 2)**2*(b + 1)
Suppose -3 + 0 = a - 5*v, 2*a = 4*v. Let l(b) be the third derivative of 0*b + 0 + 0*b**3 - 1/20*b**5 - 1/8*b**4 - 2*b**a. Let l(d) = 0. What is d?
-1, 0
What is r in -32/5*r**4 + 36*r**3 + 50*r - 80*r**2 + 2/5*r**5 + 0 = 0?
0, 1, 5
Let y = -32 + 97/3. Determine v, given that -y*v**4 + 2/3*v**2 - 1/3 + 0*v + 0*v**3 = 0.
-1, 1
Let y be (-3 + (-10)/(-3))/((-1)/(-9)). Let n(d) be the first derivative of 4/15*d**y - 1/5*d**2 - 4 + 0*d - 1/10*d**4. Solve n(a) = 0.
0, 1
Let d be 66/(-18) - (-2)/3. Let o be 4/3*d/(-2). Solve 0*n**3 + 1/3*n**4 + 0*n + 1/3 - 2/3*n**o = 0 for n.
-1, 1
Let a(j) be the first derivative of -1/2*j**2 - 3 - 1/480*j**6 + 0*j - 1/96*j**4 + 0*j**3 - 1/120*j**5. Let s(u) be the second derivative of a(u). Factor s(q).
-q*(q + 1)**2/4
Let i(v) be the first derivative of 2/35*v**5 - 5 - 2/21*v**3 + 0*v - 1/7*v**2 + 1/14*v**4. Factor i(j).
2*j*(j - 1)*(j + 1)**2/7
Suppose 5*l - 8 = -3. Let i(t) = 6*t**2 + 9*t + 3. Let x(p) be the third derivative of -p**5/60 - p**3/6 - 6*p**2. Let w(g) = l*i(g) + 3*x(g). Factor w(q).
3*q*(q + 3)
Let c(d) be the third derivative of d**9/80640 - d**8/40320 - d**7/20160 - d**5/15 - 2*d**2