z**3*(z - 1)**2/5
Let u(o) be the third derivative of -1/63*o**7 + 1/180*o**6 + 0 + 2*o**2 + 0*o**3 + 1/18*o**5 - 1/168*o**8 + 0*o + 1/18*o**4. Let u(z) = 0. Calculate z.
-1, -2/3, 0, 1
Suppose -b = -0*b + 5*v + 18, -3*b - 2*v = 2. Let c be (6/4)/(15/20). Factor 2*h**b - c*h**2 + 3*h + 2 + h**2.
(h + 1)*(h + 2)
Factor w**3 + 0*w - 2*w + w.
w*(w - 1)*(w + 1)
Suppose 5*h - 74 = 26. Suppose h = 3*k + k. Factor -6*x**4 + 6*x**2 + 0*x - 19*x**5 + 22*x**k - 3*x.
3*x*(x - 1)**3*(x + 1)
Factor -60*b**2 + 20*b**3 - 27*b**5 + 16 + 18*b**5 + 60*b**4 - 27*b**5.
-4*(b - 1)**3*(3*b + 2)**2
Let q be 10/40 - 14/(-8). Let r(u) be the third derivative of u**q + 0 - 1/10*u**5 + 1/60*u**6 + 1/4*u**4 + 0*u - 1/3*u**3. Suppose r(c) = 0. What is c?
1
Let g(w) = 2*w**2 + 33*w + 96. Let k be g(-13). Factor 0 + 8/5*n**4 + 4/5*n**k + 0*n**3 - 4/5*n - 8/5*n**2.
4*n*(n - 1)*(n + 1)**3/5
Let i(k) be the third derivative of k**6/480 + k**5/120 + k**4/96 + 10*k**2. Factor i(y).
y*(y + 1)**2/4
Suppose 24*h - 240 = 14*h. Let h*z + 51/2*z**2 + 15/2*z**3 + 6 = 0. What is z?
-2, -1, -2/5
Let n be (-12)/(-4) - (5 + -4 - -2). What is m in 0*m**2 + 2/11*m**4 + 0*m**3 + 0*m + n = 0?
0
Let p = 5 - 3. Suppose 13 - 13 - 4*n + p*n**2 = 0. Calculate n.
0, 2
Let x(r) be the second derivative of 6*r - 1/12*r**4 - 1/30*r**6 + r**2 + 0 - 1/2*r**3 + 3/20*r**5. Factor x(q).
-(q - 2)*(q - 1)**2*(q + 1)
Determine k, given that 2/7*k - 2/7*k**3 - 4/7 + 4/7*k**2 = 0.
-1, 1, 2
Let g(h) = h**2 + 2*h - 7. Let i(y) = 8 - 2 - 7. Let a(d) = 3*g(d) - 24*i(d). Solve a(q) = 0 for q.
-1
Suppose 2*n - n = 4*j + 4, 3*j - 10 = 4*n. Let p = j - -5. Solve -s**2 - 2*s**3 + 2*s**3 - s**2 - 4*s**4 + s**5 + 5*s**p = 0 for s.
0, 1, 2
Let i(u) be the first derivative of -7*u**4/4 + 20*u**3/9 - 2*u**2/3 - 4. Factor i(d).
-d*(3*d - 2)*(7*d - 2)/3
Let u(s) be the first derivative of 3*s**2 + 8*s - 6. Let x(w) = w**2 - 29*w - 41. Let p(a) = -11*u(a) - 2*x(a). Factor p(t).
-2*(t + 1)*(t + 3)
Suppose -22*c = -15*c. Let d(o) be the third derivative of 0 + c*o**3 + 0*o - 1/168*o**8 + 4*o**2 - 1/105*o**7 + 0*o**4 + 1/60*o**6 + 1/30*o**5. Factor d(f).
-2*f**2*(f - 1)*(f + 1)**2
Let t(l) = -16*l**4 + 29*l**3 - 52*l**2 + 11*l - 7. Let f(s) = -11*s**4 + 19*s**3 - 35*s**2 + 7*s - 5. Let p(a) = -7*f(a) + 5*t(a). Factor p(i).
-3*i*(i - 2)*(i - 1)**2
Let b = 6/11 - -26/33. Let c(t) be the first derivative of 0*t**2 - 2/5*t + 1 + b*t**3 + 6/5*t**5 - 4/15*t**6 - 2*t**4. Factor c(x).
-2*(x - 1)**4*(4*x + 1)/5
Let t(q) be the second derivative of -q**6/20 - 9*q**5/40 - 3*q**4/8 - q**3/4 + 9*q. Solve t(g) = 0 for g.
-1, 0
Let p = -802117/2933 + 680/419. Let u = p + 273. Factor 8/7 + u*r + 2/7*r**2.
2*(r + 2)**2/7
Let h(k) be the second derivative of -2*k**7/49 + 2*k**6/15 - k**5/7 + k**4/21 - 25*k. Factor h(g).
-4*g**2*(g - 1)**2*(3*g - 1)/7
Let a be 2 + -3 + (1 - -2). Suppose 8 = -2*h, 0 = a*l + 3*h - 5*h - 14. Find c such that -1/3*c**4 + c**2 - 4/3 - 4/3*c + 2/3*c**l = 0.
-1, 2
Let o(z) be the third derivative of z**6/300 - z**5/150 - 18*z**2. Factor o(p).
2*p**2*(p - 1)/5
Let y(x) be the second derivative of -x**7/1050 - x**6/300 + x**4/60 + x**3/30 - 3*x**2/2 + x. Let b(r) be the first derivative of y(r). Factor b(v).
-(v - 1)*(v + 1)**3/5
Let p = -169/3 + 57. Let -p*w - 4/3 + 2*w**2 = 0. What is w?
-2/3, 1
Let b(l) be the first derivative of l**2 + 1 + 4/9*l**3 - 4/3*l - 1/2*l**4. Factor b(u).
-2*(u - 1)*(u + 1)*(3*u - 2)/3
Let c(l) be the second derivative of l**4/6 + l**3/9 - 2*l**2/3 - 11*l. Solve c(y) = 0 for y.
-1, 2/3
Factor -2/7*n**3 - 10/7*n + 8/7*n**2 + 4/7.
-2*(n - 2)*(n - 1)**2/7
Let n = 33/40 + -13/16. Let z(p) be the third derivative of 0*p - p**2 + 1/48*p**4 - 1/30*p**5 + 1/6*p**3 - n*p**6 + 0. What is d in z(d) = 0?
-1, 2/3
Let i = -4 + 6. Factor 112 - 112 + i*t**2 - 2*t.
2*t*(t - 1)
Suppose 10*u = 26*u - 22*u. Factor u + 1/5*b**5 - 2/5*b**3 + 0*b**4 + 1/5*b + 0*b**2.
b*(b - 1)**2*(b + 1)**2/5
Suppose 4*k - 3 = 3*o, 5*k = 2*o - 2 + 11. Let -l + 9*l**2 + 4*l - 5*l**2 + 0*l + l**k = 0. What is l?
-3, -1, 0
Let q(j) = 5*j**2 + 35*j - 45. Let z(w) = 8*w**2 + 52*w - 67. Let b(s) = 7*q(s) - 5*z(s). Suppose b(m) = 0. What is m?
-4, 1
Let d be 0 - -1 - (-52)/(-4). Let c be (-4)/d - (-1)/3. Let c*x + 2/3*x**2 + 0 = 0. What is x?
-1, 0
Let l be (-4)/10 - 1899/(-4725). Let f(n) be the third derivative of 0 + 1/150*n**5 + 0*n**3 + 1/300*n**6 + 0*n - 2*n**2 - l*n**7 - 1/60*n**4. Factor f(r).
-2*r*(r - 1)**2*(r + 1)/5
Let b be ((-3)/(-9) - 0)*9. Suppose -a = -0*a - b. Determine h, given that -8/3*h**2 + 10/3*h - 4/3 + 2/3*h**a = 0.
1, 2
Find g, given that 0 - 9/4*g**2 + g**3 + 1/2*g = 0.
0, 1/4, 2
Let b be 93*6/405 + 4/18. Factor 6/5*z + b*z**2 - 2/5.
2*(z + 1)*(4*z - 1)/5
Let j(g) = 7*g**4 - 15*g**3 + 12*g**2 - 2*g + 2. Let z(u) = 15*u**4 - 30*u**3 + 25*u**2 - 5*u + 5. Let l(c) = 5*j(c) - 2*z(c). Let l(i) = 0. Calculate i.
0, 1, 2
Suppose 2*b = 6*b - 16. Factor b*j**2 - 4 - 12*j**2 - 2*j**3 - 10*j + 0.
-2*(j + 1)**2*(j + 2)
Let y(u) be the first derivative of u**7/315 - u**6/60 + u**5/30 - u**4/36 + 2*u**2 - 3. Let c(s) be the second derivative of y(s). Factor c(a).
2*a*(a - 1)**3/3
Let g(f) = -3*f**4 - 3*f**3 + 27*f**2 + 39*f + 18. Let k(j) = -j**2. Let x(a) = g(a) + 6*k(a). Let x(m) = 0. What is m?
-2, -1, 3
Let p(g) be the second derivative of -81*g**6/50 + 27*g**5/20 + 8*g**4/5 + 2*g**3/5 + 2*g. Find k, given that p(k) = 0.
-2/9, 0, 1
Let n(s) = 7*s**5 + 10*s**4 + 18*s**3 + 14*s**2 + 9*s - 5. Let t(i) = 3*i**5 + 5*i**4 + 9*i**3 + 7*i**2 + 4*i - 2. Let b(o) = -2*n(o) + 5*t(o). Factor b(z).
z*(z + 1)**3*(z + 2)
Let m be 8/(-6)*(30/12 - 4). Let 2/5 - 3/5*q + 1/5*q**m = 0. What is q?
1, 2
Let r(d) = -1. Let o(b) = 3*b + 10. Let u(j) = -2*o(j) - 6*r(j). Let i be u(-3). Let 3/2*q**i + 3/2*q**2 + 0*q + 3*q**3 + 0 = 0. Calculate q.
-1, 0
Let k(l) be the third derivative of -l**6/160 - l**5/40 - 12*l**2. Find c, given that k(c) = 0.
-2, 0
Let o(f) be the first derivative of 1/4*f**3 + 3/8*f**2 + 1/16*f**4 + 2 + 1/4*f. Factor o(t).
(t + 1)**3/4
Suppose 0 = -2*r + 4 - 0. Let q = -2 + r. Factor 0*k**3 - 4/3*k**2 + 4/3*k**4 + q + 2/3*k - 2/3*k**5.
-2*k*(k - 1)**3*(k + 1)/3
Let a = 0 - -2. Let f = 2 + 0. Suppose 2*n + n**3 + 12*n**f - 8*n**5 + 2*n**5 + 3*n**3 - a - 10*n**4 = 0. Calculate n.
-1, 1/3, 1
Let p(x) = 3*x**2 - 6*x - 12. Let v(b) = 1. Let t(i) = p(i) + 3*v(i). Factor t(r).
3*(r - 3)*(r + 1)
Let q = 11 + -8. Let v be ((-3)/5 - 2) + q. Factor v*f**2 + 2/5*f**4 - 4/5*f**3 + 0*f + 0.
2*f**2*(f - 1)**2/5
Let c(z) be the third derivative of z**8/6720 + z**7/1260 + z**6/720 + z**4/24 + 3*z**2. Let r(g) be the second derivative of c(g). Factor r(y).
y*(y + 1)**2
Factor 225/4 + 15/2*g + 1/4*g**2.
(g + 15)**2/4
Let s be (4/(-4) - -2)*3. Let v(r) be the first derivative of 0*r + 1/4*r**2 - s + 1/12*r**3. Factor v(f).
f*(f + 2)/4
Suppose 0*o = -o - 1. Let g = 7 + o. Determine b, given that -8*b**3 + b**2 - 5*b**2 + 6*b**2 + 4*b - g*b**4 = 0.
-1, 0, 2/3
Let q = -752 - -2291/3. Let a = -34/3 + q. Factor -1/3 - 2/3*c - a*c**2.
-(c + 1)**2/3
Let j = -17 - -25. Let g(u) = u**2 - 9*u + 10. Let b be g(j). Suppose 8/3*t**2 - b*t**3 - 4/3 + 2/3*t = 0. What is t?
-2/3, 1
Let a(x) be the first derivative of x**8/672 - 3*x**2/2 + 3. Let h(b) be the second derivative of a(b). Suppose h(v) = 0. Calculate v.
0
Suppose 12*q - 1 - 11 = 0. Factor -5/4*w + q + 1/4*w**2.
(w - 4)*(w - 1)/4
Let y be (198/(-30))/((-28)/(-10)) + 3. Let x(i) be the first derivative of 2/7*i**5 - y*i**4 + 0*i - 1 + 2/3*i**3 - 1/21*i**6 - 2/7*i**2. Factor x(z).
-2*z*(z - 2)*(z - 1)**3/7
Let o be 4/7*(8 + -1). Let n(j) be the second derivative of -2*j + 2/15*j**3 + 1/5*j**2 + 0 + 1/30*j**o. Find r, given that n(r) = 0.
-1
Factor 4*x + 2 - 7*x**3 - 25/2*x**2.
-(x + 2)*(2*x - 1)*(7*x + 2)/2
Let o(w) be the third derivative of 2*w**5/135 - w**4/108 + 24*w**2. Determine k, given that o(k) = 0.
0, 1/4
Factor 0*s**3 - 33*s**2 - 62*s - s**4 - 16 - 10*s**3 + 22*s.
-(s + 1)**2*(s + 4)**2
Factor 0*z**2 + 0 + 2/9*z**3 - 8/9*z.
2*z*(z - 2)*(z + 2)/9
Let z(m) be the second derivative of -m**7/1260 - m**6/180 + m**5/20 + m**4/4 + 4*m. Let p(q) be the third derivative of z(q). Determine c so that p(c) = 0.
-3, 1
Let z(w) be the third derivative of w**6/120 + w**5/20 - 5*w**3/6 - 3*w**2. Let h(d) be