ve of -7*m**6/300 - 22*m**5/75 - 5*m**4/4 - 6*m**3/5 + 22*m**2. Factor r(x).
-2*(x + 3)**2*(7*x + 2)/5
Solve 4/3*b**3 - 2/3*b**4 + 0*b**2 + 0 + 0*b = 0.
0, 2
Solve 2/3 + 16/3*v**3 - 5*v + 8*v**2 = 0.
-2, 1/4
Let r(x) = -x - 8. Let w be r(-8). Find k, given that w*k + 1/3*k**2 + 0 = 0.
0
Let o = 26 - 51/2. Let i(a) be the first derivative of 2 + 2/3*a**3 + o*a - 5/4*a**2. Determine c, given that i(c) = 0.
1/4, 1
Let n(q) = q - 3. Let u be n(5). Solve t**2 - 3*t**3 + t**u + 6*t**3 + t**2 = 0 for t.
-1, 0
Let w be ((-18)/8)/(-9)*(-4)/(-3). Let w*u**2 + 0 + 1/3*u = 0. Calculate u.
-1, 0
Let s(h) = 15*h**3 - 91*h**2 + 26*h + 61. Let c(v) = 3*v**3 - 18*v**2 + 5*v + 12. Let q(y) = 11*c(y) - 2*s(y). Determine i, given that q(i) = 0.
-2/3, 1, 5
Suppose -2*z + 485 = 3*z. Let h = -287/3 + z. Suppose 0 - h*j**2 + 2/3*j**3 - 3*j**5 + 4*j**4 - 1/3*j = 0. What is j?
-1/3, 0, 1
Let o be -4 - -1 - 2320/(-768). Let c(z) be the second derivative of 2*z - o*z**4 + 0*z**2 + 0*z**3 + 0. Find b, given that c(b) = 0.
0
Let z(d) be the third derivative of d**6/660 + d**5/66 + d**4/33 - 3*d**2. Factor z(g).
2*g*(g + 1)*(g + 4)/11
Suppose 0 = 5*b - 25 - 0. Let r(m) be the first derivative of -5/3*m**3 + 9/8*m**4 - 7/20*m**b + m**2 - 1 + 1/24*m**6 + 0*m. Let r(s) = 0. What is s?
0, 1, 2
Let x(i) be the second derivative of 0*i**2 + 7*i + 0*i**3 + 0 - 3/100*i**5 + 1/70*i**7 + 0*i**4 + 0*i**6. Factor x(u).
3*u**3*(u - 1)*(u + 1)/5
Suppose -8 = -4*z - 0. Find n such that 0 + z*n - 4*n**2 + 3/2*n**3 = 0.
0, 2/3, 2
Let c(m) be the second derivative of m**7/1260 + m**4/4 + 4*m. Let z(o) be the third derivative of c(o). Factor z(k).
2*k**2
Let q(s) be the third derivative of -s**10/6048 - s**9/3024 - s**8/5040 - s**5/15 - 3*s**2. Let l(t) be the third derivative of q(t). Factor l(z).
-z**2*(5*z + 2)**2
Let l(r) be the first derivative of -r**3 + 3*r + 2. Find o, given that l(o) = 0.
-1, 1
Let q(v) = -v**2 - 5*v + 4. Let d(s) = -s + 4*s - 4*s + 0*s. Let k(p) = 5*p**2 + 18*p - 17. Let t(c) = 3*d(c) - k(c). Let f(x) = 18*q(x) - 4*t(x). Factor f(w).
2*(w - 2)*(w - 1)
Factor -3*y**5 + 4*y**5 + 5*y**4 - 4*y**4.
y**4*(y + 1)
What is z in 98/11 - 26/11*z**2 - 70/11*z - 2/11*z**3 = 0?
-7, 1
Let c(i) be the first derivative of 2/3*i + 4/9*i**3 - 4 + 1/12*i**4 + 5/6*i**2. Solve c(f) = 0 for f.
-2, -1
Let w(n) = -n + 41. Let k be w(0). Let t = 125/3 - k. Factor -4/3*z**2 + 0 - t*z**3 - 2/3*z.
-2*z*(z + 1)**2/3
Let c(z) be the third derivative of 3*z**7/28 + z**6 + 13*z**5/6 + 5*z**4/3 - 3*z**2. Solve c(k) = 0.
-4, -2/3, 0
Let d be 4 + (1 - 3) - -453. Let o = d + -3177/7. Determine u, given that -6/7*u**5 + 4/7 + 12/7*u**2 - o*u**3 + 2*u - 16/7*u**4 = 0.
-1, -2/3, 1
Let b(s) be the third derivative of -s**6/120 - 8*s**2. Factor b(z).
-z**3
Let u(a) be the first derivative of 140*a**3/33 - 13*a**2/11 - 4*a/11 - 48. Let u(v) = 0. Calculate v.
-1/10, 2/7
Let j(d) be the first derivative of 0*d + 1/4*d**4 + 0*d**3 + 0*d**2 - 3. Factor j(z).
z**3
Let j(t) be the third derivative of -1/6*t**4 + 1/15*t**5 - 4/3*t**3 - 8*t**2 + 0 + 0*t. Factor j(a).
4*(a - 2)*(a + 1)
Let v(p) be the third derivative of -p**7/1680 + p**6/192 - p**5/80 - p**4/48 + p**3/6 - 20*p**2. Determine k so that v(k) = 0.
-1, 2
Let m(w) be the second derivative of -w**5/20 + w**4/4 - w**3/3 + 35*w. Factor m(s).
-s*(s - 2)*(s - 1)
Suppose -1/3*i**2 + 3/2*i**3 - 2/3*i**4 + 0*i + 0 = 0. What is i?
0, 1/4, 2
Suppose -v - 70 = 2*q, q - 2*v = -3*q - 140. Let i = q - -35. Suppose 0 + i*x - 2/5*x**2 + 1/5*x**3 = 0. Calculate x.
0, 2
Let u be 1/(-5) + 1 + 1. Let k(j) be the first derivative of -u*j**5 - 7/4*j**4 - 2*j + 11/3*j**3 + 1 + 7/2*j**2. Solve k(c) = 0.
-1, 2/9, 1
Let w(k) be the second derivative of -k**7/294 + k**6/210 + 3*k**5/140 - 5*k**4/84 + k**3/21 + 8*k. Factor w(f).
-f*(f - 1)**3*(f + 2)/7
Let v be 6 + 1 + 1 + -8. Factor 2/9*k**4 + 4/9*k**3 + 0 + 2/9*k**2 + v*k.
2*k**2*(k + 1)**2/9
Let v(p) = -p**4 - p**3 + 1. Let w(x) = -5*x**4 - 8*x**3 - 3*x**2 + 2. Let c(r) = -2*v(r) + w(r). Solve c(l) = 0 for l.
-1, 0
Let k(g) be the first derivative of -2*g**5/45 - g**4/9 + 8*g**3/27 + 2*g**2/9 - 2*g/3 + 20. What is s in k(s) = 0?
-3, -1, 1
Let t(u) be the first derivative of u**6/1440 - u**5/240 + u**4/96 + 8*u**3/3 + 5. Let l(h) be the third derivative of t(h). What is w in l(w) = 0?
1
Let g(r) = -r**3 - r + 1. Let n(f) = -3*f**5 - 3*f**4 + 30*f**3 + 3*f**2 - 9*f - 3. Let u(l) = 15*g(l) + n(l). Determine o so that u(o) = 0.
-2, 1
Let s be (-10)/25 + (-17)/(-5). Let v(q) be the first derivative of -1/15*q**5 + 1 - 1/3*q + 0*q**2 + 2/9*q**s + 0*q**4. Find j such that v(j) = 0.
-1, 1
Suppose 5*l + 4*o = 0, 20 = -5*l + 2*o - 10. Let f(n) = n**2 + 3*n + 2. Let y be f(l). Factor 8*a**2 + 4*a + a + y*a**3 - 3*a.
2*a*(a + 1)*(3*a + 1)
Let p(t) = 13*t**3 + 2*t - 2. Let q be p(1). Factor -4*k**2 - 3*k**2 + k**5 + q*k**2 - 6*k**4 - 3*k + 2*k**5.
3*k*(k - 1)**3*(k + 1)
Let n(u) = 2*u + 6. Let j be n(6). Suppose 4*x + 2 = j. Solve -g**2 + x*g + 0*g**2 - 6*g = 0.
-2, 0
Let l(c) be the first derivative of 0*c**3 + c**2 - 1/105*c**5 + 1/420*c**6 + 2 + 1/84*c**4 + 0*c. Let j(a) be the second derivative of l(a). Factor j(g).
2*g*(g - 1)**2/7
Let o be (-12)/(-78) - 323/(-13). Suppose o = -5*t + 5*v, 5 = 4*t - v + 10. Determine s so that t - 2/5*s**3 - 2/5*s**2 + 0*s = 0.
-1, 0
Let k(b) be the third derivative of 2*b**2 + 1/150*b**5 + 0*b + 0 + 1/20*b**4 + 2/15*b**3. Factor k(c).
2*(c + 1)*(c + 2)/5
Let y = 2 + -2. Factor -2*k**4 + 1/2*k**3 + 2*k**2 - 1/2*k + y.
-k*(k - 1)*(k + 1)*(4*k - 1)/2
Let p be 2 - ((-192)/18)/(-8). Find h, given that -4/9 - p*h - 2/9*h**2 = 0.
-2, -1
Let o be ((-2)/(-24))/(1/3). Let n(v) be the third derivative of 0 - o*v**4 + 4/105*v**7 + 1/3*v**3 + 0*v + 2*v**2 - 1/6*v**5 + 1/20*v**6. Factor n(t).
2*(t - 1)*(t + 1)**2*(4*t - 1)
Let p(m) be the second derivative of m**7/315 + 11*m**6/225 + 7*m**5/25 + 3*m**4/5 - 3*m**3/5 - 27*m**2/5 - 21*m. Solve p(a) = 0 for a.
-3, 1
Let y = -8 - -14. Let g = -23/4 + y. Determine q, given that -1/4*q**4 - g*q - 3/4*q**3 + 0 - 3/4*q**2 = 0.
-1, 0
Let y(l) = 4*l**3 + 20*l**2 + 16*l - 7. Let z(f) = -4*f**3 - 20*f**2 - 16*f + 6. Let o(m) = -6*y(m) - 7*z(m). Find v such that o(v) = 0.
-4, -1, 0
Let a(y) be the third derivative of -9*y**7/35 - y**6/20 + y**5/15 - 3*y**2 + 1. Factor a(t).
-2*t**2*(3*t + 1)*(9*t - 2)
Let x = -84 - -87. Determine a, given that 0*a + 2/7*a**x + 0*a**2 + 0 = 0.
0
Let m(v) = -v**2 - 5*v - 2. Let p be m(-4). Let f be 1/((-12)/(-8)) - (-4)/(-18). Factor 2/9*s**p + f*s + 0.
2*s*(s + 2)/9
Let w(j) be the second derivative of -1/18*j**3 + 1/180*j**5 - 2*j + 0 + 0*j**4 - 1/2*j**2. Let u(h) be the first derivative of w(h). Let u(n) = 0. What is n?
-1, 1
Let d be ((-2)/4)/((-2)/4). Let f(y) = y + 18. Let g be f(-13). Factor -5*w + g + 2*w**3 - d - w.
2*(w - 1)**2*(w + 2)
Let o be (4 + 0/1)/2. Let i = -2/91 + 99/364. Solve -1/2*p - 1/4 - i*p**o = 0.
-1
Let y be 0 - (-3 - -4) - -19. Let b = -8 + y. Suppose 8*c + c**2 + 11*c**2 - 6*c - 2 + 4*c**3 - 6*c**5 - b*c**4 = 0. What is c?
-1, 1/3, 1
Suppose -3*y = -0 + 3. Let m(x) = -x**2 + x - 1. Let i(a) = -2*a**2 + 2*a - 1. Let s(b) = y*m(b) + i(b). Factor s(u).
-u*(u - 1)
Factor 5 + 265*l**2 - 8*l**3 - 5 - 4*l**4 - 269*l**2.
-4*l**2*(l + 1)**2
Let y = 5586/5 - 1117. Factor -y*h**3 + 0*h + 0*h**2 + 1/5*h**4 + 0.
h**3*(h - 1)/5
Let i(h) be the second derivative of -h**10/45360 + h**9/11340 - h**8/10080 - 5*h**4/12 - 5*h. Let f(z) be the third derivative of i(z). Factor f(g).
-2*g**3*(g - 1)**2/3
Let k(x) = x**3 - 3*x**2 - 18*x + 2. Let d be k(6). Find g such that 0 + 1/4*g + 1/2*g**4 - 1/2*g**d - 1/4*g**5 + 0*g**3 = 0.
-1, 0, 1
Let l = 51 - 47. Let h(r) be the third derivative of -1/18*r**3 - 5/72*r**l + 0*r + 0 - 3*r**2 - 7/180*r**5 - 1/120*r**6. Factor h(d).
-(d + 1)**2*(3*d + 1)/3
Let u(t) = 12*t**4 + 12*t**3 - 24*t**2 - 8*t + 8. Let z(x) = -4*x**4 - 4*x**3 + 8*x**2 + 3*x - 3. Let o(w) = 3*u(w) + 8*z(w). Factor o(g).
4*g**2*(g - 1)*(g + 2)
Let k(s) be the third derivative of 0*s - 1/12*s**4 + 1/20*s**5 + 0 + 2*s**2 + 1/840*s**7 - 1/80*s**6 + 0*s**3. Solve k(a) = 0.
0, 2
Factor -2/3*a**2 + 0 + 2/3*a.
-2*a*(a - 1)/3
Let a = 472/3 + -156. Let f(c) be the first derivative of 4*c**2 - 1 + 7/3*c**3 + a*c - 49/12*c**4. Solve f(z) = 0 