ctor 9/2*b**4 + 1/2 - 12*b**3 + 11*b**2 - m*b.
(b - 1)**2*(3*b - 1)**2/2
Let w be 1 + ((-2)/6 - 40/105). Let g be (-11)/(-7) - (0 - -1). Suppose w*j**2 + 2/7 - g*j = 0. What is j?
1
Solve -2/3*d**2 + 4/3 + 2/3*d = 0 for d.
-1, 2
Let a(t) be the first derivative of -t**5/40 + t**4/12 - t**3/12 + 3*t + 3. Let i(o) be the first derivative of a(o). Suppose i(r) = 0. Calculate r.
0, 1
Let x = 773/5 - 154. Let c(b) be the first derivative of -x*b**5 + 4/3*b**3 - b + 2 - b**2 + 1/2*b**4. Factor c(t).
-(t - 1)**2*(t + 1)*(3*t + 1)
Let o be (-4)/1*2/(-4). Let y(n) = -5*n**3 - 31*n**2 - 25*n - 10. Let z(l) = -l**3 - 6*l**2 - 5*l - 2. Let x(h) = o*y(h) - 11*z(h). Find r such that x(r) = 0.
-2, -1
Let f(r) be the first derivative of -r**5/5 + r**4 + 2*r**3/3 - 6*r**2 - 9*r + 8. Factor f(q).
-(q - 3)**2*(q + 1)**2
Suppose 4 - 4*s**3 + 2*s**2 - 5*s + 5*s**3 - 2*s = 0. What is s?
-4, 1
Let m(g) be the second derivative of -g**4/12 - g. Factor m(a).
-a**2
Let q be (-1)/(-12) - 2/(-8). Let f be -4 + 468/84 - 6/(-14). Factor -2/3*d**f + 0 - q*d.
-d*(2*d + 1)/3
Suppose -3*w - 11 - 4 = 2*o, 2*w - 3 = 3*o. Let u be ((-6)/(-15))/(w/(-15)). Factor 2/3*s**3 + 2*s + 2/3 + 2*s**u.
2*(s + 1)**3/3
Let r = 13 + 0. Factor 11*i**5 - 2*i**3 + i**2 + 4*i**4 - r*i**5 - i**2.
-2*i**3*(i - 1)**2
Let t(g) be the third derivative of g**8/84 - 4*g**7/35 + 11*g**6/30 - 2*g**5/15 - 2*g**4 + 16*g**3/3 + 4*g**2. What is u in t(u) = 0?
-1, 1, 2
Let k(b) be the third derivative of b**8/784 + b**7/490 - b**6/280 - b**5/140 - 11*b**2 + 2. Factor k(h).
3*h**2*(h - 1)*(h + 1)**2/7
Let c = -23 + 27. Determine y so that -c*y**5 + 4*y**5 + 4*y**3 - y**3 - 6*y**4 + 6*y**2 - 3*y**5 = 0.
-2, -1, 0, 1
Let q(v) be the third derivative of -1/280*v**6 - 8*v**2 + 0*v**4 + 0*v**5 + 0 + 0*v + 0*v**7 + 0*v**3 + 1/784*v**8. Solve q(g) = 0 for g.
-1, 0, 1
Factor 0*x + 0 - 4/9*x**2 + 8/9*x**3 - 4/9*x**4.
-4*x**2*(x - 1)**2/9
Let d(q) = -q**4 + q**3 - 9*q**2 + 13*q - 4. Let c(j) = j**4 - j**3 + 17*j**2 - 25*j + 8. Let r(y) = 3*c(y) + 5*d(y). Determine k so that r(k) = 0.
-2, 1
Suppose -3*d + 0*d**3 + 0 + 3/2*d**4 - 9/2*d**2 = 0. What is d?
-1, 0, 2
Suppose 5*j + 2*n = -2*n + 26, -5*j + 4*n = 6. Let y = 103/30 - 21/10. Suppose 0 - 2*w**j - y*w = 0. Calculate w.
-2/3, 0
Let i = -4 - -6. Factor 9*q**5 - 6*q**3 + 3*q**4 - 5*q**i - 2*q**2 + 7*q**2.
3*q**3*(q + 1)*(3*q - 2)
Let u(i) = -7 + 4*i**2 - 2*i + 0*i**3 + 3 + i**3 - i**2. Let a be u(-3). Factor 2/3*b**4 + 2/3*b**a + 2*b - 4/3 - 2*b**3.
2*(b - 2)*(b - 1)**2*(b + 1)/3
Suppose -2/5*n**2 - 2/5 - 4/5*n = 0. Calculate n.
-1
Let p = 4 + -1. Factor 9*h**3 - p*h + h - 7*h**3.
2*h*(h - 1)*(h + 1)
Let m(t) be the first derivative of 2/5*t**5 + 2*t**2 - 3 - t**4 - 2/3*t**3 + 0*t. Factor m(o).
2*o*(o - 2)*(o - 1)*(o + 1)
Let w(h) be the second derivative of h**4/4 - h**3 - 9*h**2/2 + 5*h. Factor w(o).
3*(o - 3)*(o + 1)
Suppose k - 3*c = 2*k - 21, 0 = k - c - 5. Let i = 11 - k. Factor 1/5*p**i + 0 - 2/5*p.
p*(p - 2)/5
Let g(b) be the second derivative of -b**4/42 - b**3/7 - 2*b**2/7 + 25*b. Factor g(p).
-2*(p + 1)*(p + 2)/7
Suppose 6 = 2*q + 30. Let c be q/(-54) - 4/18. Find n, given that c - 5/2*n**3 + 2*n**2 + n**4 - 1/2*n = 0.
0, 1/2, 1
Let h(b) be the first derivative of 4*b**3/3 - 4*b**2 + 4*b - 27. Determine m so that h(m) = 0.
1
Let i be 4/(102/18 + -5) - 6. Factor i*r**3 - 1/2*r**2 + 0*r + 0 + 1/2*r**4.
r**2*(r - 1)*(r + 1)/2
Let i(u) be the second derivative of -u**5/100 + u**3/10 - u**2/5 - 20*u. Suppose i(m) = 0. What is m?
-2, 1
Suppose -11 - 7 = -5*s - 2*u, -1 = s + 5*u. Let i(o) be the first derivative of -3 - 3/10*o**5 + 0*o - 3/8*o**s - 1/12*o**6 + 0*o**2 - 1/6*o**3. Factor i(a).
-a**2*(a + 1)**3/2
Suppose 0 = -5*t - 33 + 8. Let b(x) = x**3 + 4*x**2 - 4*x + 7. Let s be b(t). Let 2*n**2 + n - 4*n**2 - s - 5*n = 0. What is n?
-1
Let x(w) be the third derivative of -w**6/840 + w**5/140 - 2*w**3/21 - 29*w**2. Suppose x(d) = 0. Calculate d.
-1, 2
Let k(g) = g + 18. Let a be k(-13). Suppose -4*l = 3*v - 22, -a*v = l - 1 - 13. Factor -2*f + v*f**2 + 2/3 - 2/3*f**3.
-2*(f - 1)**3/3
Let z be 1/2 - ((-4)/(-2) + -2). Factor z*k**3 - 1/2*k + 0*k**2 + 0.
k*(k - 1)*(k + 1)/2
Let q(o) be the second derivative of 7*o**6/135 - 13*o**5/45 + 10*o**4/27 + 8*o**3/27 - 17*o. Find z such that q(z) = 0.
-2/7, 0, 2
Let o be (0/(-3) - 0)/(-2). Let k(p) be the second derivative of o + 0*p**2 - 1/12*p**4 - p + 1/6*p**3. Suppose k(q) = 0. Calculate q.
0, 1
Let -2/11*r + 0 + 2/11*r**2 = 0. Calculate r.
0, 1
Let s(j) be the third derivative of 3*j**2 + 1/33*j**3 + 1/132*j**4 + 0 - 1/660*j**6 + 0*j - 1/330*j**5. Factor s(a).
-2*(a - 1)*(a + 1)**2/11
Let q(y) = -4*y**5 + y**4 - 4*y**3 - 4*y**2 + 5*y + 5. Let h(i) = -5*i**5 + i**4 - 4*i**3 - 4*i**2 + 6*i + 6. Let z(o) = -5*h(o) + 6*q(o). Factor z(v).
v**2*(v - 2)*(v + 1)*(v + 2)
Let z be (32/(-30))/(2/(-5)). Let h = -2 + z. Factor -2/9*p + 2/9 - h*p**2 + 10/9*p**3 - 4/9*p**4.
-2*(p - 1)**3*(2*p + 1)/9
Suppose 9/2*n - 3/2*n**2 - 9/2*n**3 + 3 - 3/2*n**4 = 0. What is n?
-2, -1, 1
Let i = 541417/3144060 - -1/52401. Let p = 1/20 + i. Let -p*r**3 - 2/9*r**2 + 2/9*r + 2/9 = 0. Calculate r.
-1, 1
Let d(b) = -2*b - 16. Let f be d(-12). Suppose -2*m - f = -n - m, -2*m - 19 = -3*n. Factor 2*j**3 + n*j - 3*j + 4*j**2.
2*j**2*(j + 2)
Let y = 12 - 5. Let w(l) = 3*l**2 - 4*l - 7. Let r(v) = -v**2 + v + 2. Let s(g) = y*r(g) + 2*w(g). What is c in s(c) = 0?
-1, 0
Let v(w) = -16*w**4 + 27*w**3 - 20*w**2 + 2*w + 7. Let a(d) = -5*d**4 + 9*d**3 - 7*d**2 + d + 2. Let x(f) = -7*a(f) + 2*v(f). What is z in x(z) = 0?
0, 1
Let m = -32 - -36. Let i(g) be the first derivative of 0*g**m - g**2 + 1/3*g**6 - 4/5*g**5 + 4/3*g**3 + 0*g - 1. Factor i(j).
2*j*(j - 1)**3*(j + 1)
Solve q**2 - 4 + 4*q**2 + 20*q + 28 - 4 = 0.
-2
Suppose 0*m = -3*m. Suppose -4*t = -2*c - 4, m = 3*c + t + 4*t - 27. Factor -1/2*i**c + 1/2*i**3 + 1/2*i**2 + 0 - 1/2*i.
-i*(i - 1)**2*(i + 1)/2
Let l(m) be the second derivative of 1/60*m**6 + 5*m + 0*m**3 + 0*m**5 - 1/12*m**4 + 0 + 1/4*m**2. Find g such that l(g) = 0.
-1, 1
Let g(t) be the second derivative of -t**7/3360 - t**6/1440 + t**3/3 - 2*t. Let y(h) be the second derivative of g(h). Factor y(s).
-s**2*(s + 1)/4
Let s(l) be the third derivative of -l**7/70 - l**6/20 - l**5/20 + 15*l**2. What is a in s(a) = 0?
-1, 0
What is r in -18*r**2 - 15*r + 9*r**2 + 6*r**2 = 0?
-5, 0
Factor 0 + 12/7*q + 12/7*q**2 - 3/7*q**4 - 3/7*q**3.
-3*q*(q - 2)*(q + 1)*(q + 2)/7
Let q(o) be the first derivative of -o**7/840 + o**6/120 - o**5/40 + o**4/24 + o**3 + 1. Let d(u) be the third derivative of q(u). Factor d(m).
-(m - 1)**3
Let j = -3 - -7. Let h be (-19)/(-21) - (-12)/28. Solve 1/3*t + t**5 + 2*t**2 - h*t**j - 2/3 - 4/3*t**3 = 0 for t.
-1, -2/3, 1
Suppose 0 = -2*y + 3*y - 2. Let p(i) be the first derivative of 1 - y*i - 1/2*i**2 + 1/3*i**3. Factor p(s).
(s - 2)*(s + 1)
Let a = 14 + -12. Let 3*j**2 + 2*j - a*j**2 + 0*j**2 + 0*j**2 = 0. What is j?
-2, 0
Let t = 15 + -11. Let w be (-165)/(-308) + (-1)/t. Let -2/7*q**2 + w + 0*q = 0. Calculate q.
-1, 1
Let x = 11891/39 - 305. Let g = 22/39 - x. Determine m so that -2*m**2 - 2/3*m**3 + 4/3 + g*m + 2/3*m**4 = 0.
-1, 1, 2
Factor 2/3*b**3 - 4/3*b**2 + 0 + 2/3*b.
2*b*(b - 1)**2/3
Let b(j) = -4*j - 18. Let s(o) = o**2 - 9*o + 3. Let w be s(8). Let f be b(w). Factor 1/2 - 4*t + 8*t**f.
(4*t - 1)**2/2
Factor -4/5*x**2 + 0*x + 4/5.
-4*(x - 1)*(x + 1)/5
Solve 5*v + 0*v**2 + 2*v**2 - 7*v**2 - 5*v**3 + 5 = 0.
-1, 1
Let w(s) be the first derivative of -s**3 + 21*s**2/2 - 18*s - 4. Find d such that w(d) = 0.
1, 6
Let 2/19*j**3 + 4/19*j - 6/19*j**2 + 0 = 0. What is j?
0, 1, 2
Let u(p) be the second derivative of -11/10*p**4 - 12/5*p**2 + 3/20*p**5 + 14/5*p**3 + 0 + 5*p. Factor u(v).
3*(v - 2)**2*(5*v - 2)/5
Suppose -9*x**3 - 12 + 19*x**3 - 75*x**2 + 72*x - 12*x**2 + 17*x**3 = 0. Calculate x.
2/9, 1, 2
Let j(d) = -d**2 - 6*d - 3. Let h be j(-4). Suppose -u = 2*u - 4*i + 20, 3*u - i = -h. Solve 0*g + 0*g**3 + u*g**2 + 1/4*g**5 + 0 + 1/4*g**4 = 0 for g.
-1, 0
Let f(r) be the third derivative of -1/120*r**6 + r**2 + 0*r**3 + 1/12*r**4 + 1/70*r**7 - 1/336*r**8 + 0*r + 0 - 1/20*r**5. Suppose f(h) = 0. Calculate h.
-1, 0, 1, 2
Suppose -y - y = -16. Let s(b) = -b**2 + 10*b - 1. Let g be s(y). Find n, given that -4*n**2 - 7*n**4 - 