*a - d + 2/7*a**c + 2/7*a**3.
2*(a - 1)*(a + 1)**2/7
Factor 0*l - 2*l**3 + 0 + 4/3*l**4 + 2/3*l**5 + 0*l**2.
2*l**3*(l - 1)*(l + 3)/3
Determine t, given that -4*t**2 - 2*t**2 + 0*t**2 + 7*t**2 - 2*t = 0.
0, 2
Let m be 60/(-24) - (-6)/4*2. Factor 3/4*d**2 - 1/4 + m*d.
(d + 1)*(3*d - 1)/4
Let g(s) be the third derivative of -s**5/15 + 2*s**4/3 - 8*s**3/3 - 3*s**2. Suppose g(u) = 0. What is u?
2
Let m be (3/(-2))/(44/(-8) + 3). Factor -6/5*j + m*j**2 + 0.
3*j*(j - 2)/5
Let x(d) be the second derivative of d**5/160 + d**4/96 - d**3/48 - d**2/16 - 8*d. Determine f so that x(f) = 0.
-1, 1
Suppose 27 = 5*j + 7. Solve 2*m**4 + 92*m**5 - m**2 + m**3 - 4*m**j + 3*m**4 - 93*m**5 = 0.
-1, 0, 1
Let l(g) be the second derivative of 0 - 2/25*g**5 + 4/5*g**2 + 8*g + 16/15*g**3 - 1/30*g**4. Let l(b) = 0. What is b?
-2, -1/4, 2
Let k(v) = -v**2 - 2. Let r(u) = 9*u**2 + 2 - 11 - 13*u**2 - 1. Let x(d) = -28*k(d) + 6*r(d). Factor x(l).
4*(l - 1)*(l + 1)
Let k(o) be the second derivative of 7/3*o**3 + 0 + 0*o**4 + 3/20*o**5 + o + 0*o**2. Let a(j) = -j**3 - 5*j. Let m(h) = -17*a(h) - 6*k(h). Factor m(d).
-d*(d - 1)*(d + 1)
Let d(u) = u**2 + 2*u + 1. Let k be d(-2). Factor -4*h**4 - k + 1 + 2*h**4.
-2*h**4
Let o(r) be the third derivative of r**5/15 + r**4/6 + 6*r**2. Find b, given that o(b) = 0.
-1, 0
Let v(j) be the third derivative of 0*j**3 + 3*j**2 + 1/20*j**5 + 0 + 0*j + 1/8*j**4. Determine n so that v(n) = 0.
-1, 0
Let a(m) be the third derivative of m**8/1176 - m**7/245 + 2*m**5/105 - 50*m**2. Factor a(y).
2*y**2*(y - 2)**2*(y + 1)/7
Let q(s) be the second derivative of -3*s**5/80 + s**4/8 - s**3/8 - 7*s. Suppose q(z) = 0. What is z?
0, 1
Let z = 871 + -81005/93. Let o = z + 568/465. Factor 4/5 - o*m + 0*m**2 + 2/5*m**3.
2*(m - 1)**2*(m + 2)/5
Let t(x) = -2*x**3 + x**2 + 2*x. Let w be t(-2). Let p be 8 + -6 + w/10. Factor p*r**2 + 8/5 - 24/5*r.
2*(3*r - 2)**2/5
Suppose 5*y = 8 - 3. Factor -1 + 10*t**2 - 11*t**2 + y - t.
-t*(t + 1)
Let s(o) be the third derivative of 0*o + 0 + 0*o**3 - 1/588*o**8 + 0*o**5 + 4*o**2 - 1/245*o**7 + 0*o**4 - 1/420*o**6. Factor s(g).
-2*g**3*(g + 1)*(2*g + 1)/7
Suppose 8*u = 3*u + 390. Determine h, given that 18*h**4 + 27*h**5 - 2*h + 29*h + 3*h**2 - 3*h**2 - u*h**3 + 6 = 0.
-2, -1/3, 1
Determine z so that 17*z**4 + 128*z**2 - 32*z - 32*z - 96*z**3 - 4*z**5 + 10*z**4 + 5*z**4 = 0.
0, 2
Suppose 0*o = -2*t + 3*o + 16, 0 = 2*t - o - 8. Factor -4/7*w + 6/7*w**t - 2/7.
2*(w - 1)*(3*w + 1)/7
What is b in 15*b**4 - 10 + 51*b**2 + 5 + 2 - 9 + 54*b**3 = 0?
-2, -1, 2/5
Let g(n) = n**3 + n**2 + 3*n + 3. Let z(p) = p + 1. Let a be z(-7). Let b(v) = -5*v**3 - 3*v**2 - 13*v - 13. Let y(h) = a*b(h) - 26*g(h). Factor y(w).
4*w**2*(w - 2)
Let 0 - 44/7*u**3 + 100/7*u**5 - 48/7*u**2 + 120/7*u**4 + 16/7*u = 0. Calculate u.
-1, 0, 2/5
Let q(m) be the first derivative of -1/4*m**3 - 9 - 3/2*m + 9/8*m**2. Let q(t) = 0. What is t?
1, 2
What is d in -2*d + 3/2 + 1/2*d**2 = 0?
1, 3
Let c = -5 - -7. Suppose 3*x + x**c - 1 + x - 4*x = 0. What is x?
-1, 1
Let v(q) be the first derivative of -q**6/15 + 4*q**5/25 - 4*q**3/15 + q**2/5 - 6. Factor v(h).
-2*h*(h - 1)**3*(h + 1)/5
Determine l so that -2/7*l**3 + 1/7*l**2 + 0*l + 0 + 1/7*l**4 = 0.
0, 1
Let s be (6/(-27))/(6/(-9)). Let y(l) be the first derivative of -s*l + 1/9*l**3 - 3 + 0*l**2. Let y(w) = 0. Calculate w.
-1, 1
Let v(y) be the second derivative of -y**7/189 + y**6/45 - y**5/90 - y**4/18 + 2*y**3/27 + 14*y. Find x, given that v(x) = 0.
-1, 0, 1, 2
Let y be 3/(-2)*(-2 + 0). Let h(q) = q - 4. Let p be h(6). Let p - s - 5*s**2 + 2*s**3 - s + y*s**2 = 0. Calculate s.
-1, 1
Determine k so that -3*k + 1 + 6*k**3 - 10 + 24*k**2 - 12*k**4 - 3 - 3*k**5 = 0.
-4, -1, 1
Let l = 8 + -6. Let w be (-2)/(l/(-1)) - 1. Factor w + 0*u**2 - 2/5*u**5 + 4/5*u**4 + 0*u + 0*u**3.
-2*u**4*(u - 2)/5
Let s(m) be the first derivative of -4*m**3/3 - 12*m**2 - 36*m + 15. Factor s(n).
-4*(n + 3)**2
Let l(a) be the third derivative of 0*a + 0 + 0*a**5 - 3*a**2 + 1/96*a**4 + 0*a**3 + 1/1344*a**8 - 1/240*a**6 + 0*a**7. Factor l(g).
g*(g - 1)**2*(g + 1)**2/4
What is f in -2*f**2 - 20*f + 20*f**4 + 15*f**3 + 5*f**5 - 15*f**2 + 0*f**2 - 3*f**2 = 0?
-2, -1, 0, 1
Factor 2/3 - 2/3*f**2 + 1/3*f**3 - 1/3*f.
(f - 2)*(f - 1)*(f + 1)/3
Let l(s) be the second derivative of -s**4/3 + 14*s**3/3 - 12*s**2 + 23*s. Suppose l(o) = 0. What is o?
1, 6
Suppose h = p, 5*p - 5*h = 3*p - 9. Let j be (1 + -2)*(0 + 0). Factor 5*v**2 + v**p - 2*v**2 - v**2 + j*v**2 + v.
v*(v + 1)**2
Let c(n) = -9*n**2 + 9. Let i(v) = 9*v**2 - v - 8. Let g(l) = 6*c(l) + 7*i(l). Let g(s) = 0. What is s?
-2/9, 1
Let i(p) = p**2 - p + 1. Let g(k) = -5*k**2 + 5*k - 2. Let s(l) = 3*g(l) + 12*i(l). Factor s(f).
-3*(f - 2)*(f + 1)
Factor -6*m - 136 - 3*m**2 + 136.
-3*m*(m + 2)
Let p(t) = t**2 + 8*t - 6. Let b(q) = 4 + 3 - 1 - 3*q**2 + 5 - 17*q. Let m(o) = -3*b(o) - 5*p(o). Find c such that m(c) = 0.
-3, 1/4
Let p = -1 - -4. Factor 3*s**4 - 1 - p*s**3 + 2 - 1.
3*s**3*(s - 1)
Let p(v) = -v**2 - 9*v + 2. Let n be p(-9). Let q be (3/(-2))/((-6)/8). Factor -3*r + 2*r - n*r**q + 0*r**3 - r**3.
-r*(r + 1)**2
Let l = 24/61 - 35/244. Factor -3/4*f**2 - l - 1/4*f**3 - 3/4*f.
-(f + 1)**3/4
Let b(v) be the first derivative of -v**6/1800 - v**5/600 + 4*v**3/3 - 6. Let d(z) be the third derivative of b(z). Factor d(x).
-x*(x + 1)/5
Let d(k) be the second derivative of 4*k**7/147 + k**6/35 - 9*k**5/70 + k**4/21 + 6*k. Find s, given that d(s) = 0.
-2, 0, 1/4, 1
Let p(q) = -q**4 + q**3 - q**2 + q + 1. Let x(t) = -t**4 + 4*t**3 - 7*t**2 + 4*t + 4. Let o = -4 - 0. Let y(f) = o*p(f) + x(f). Factor y(j).
3*j**2*(j - 1)*(j + 1)
Let q(y) be the third derivative of -3*y**2 + 0 + 1/3*y**3 + 1/30*y**5 + 0*y + 1/6*y**4. Factor q(i).
2*(i + 1)**2
Let g(w) be the first derivative of w**6/24 - w**5/20 + 6. Let g(i) = 0. What is i?
0, 1
Let q be (-3)/(-4)*(-8)/(-15). Let l(f) = f - 4. Let y be l(6). Factor 0*j**y + 0 + q*j**4 + 0*j**3 + 0*j.
2*j**4/5
Let b = -22 + 8. Let o(p) = -2*p - p**3 - 5*p**2 + 0*p - 2*p + 3. Let v(x) = -2*x**3 - 11*x**2 - 9*x + 7. Let n(y) = b*o(y) + 6*v(y). Factor n(j).
2*j*(j + 1)**2
Let j(d) be the second derivative of -2*d**2 - 4*d - 27/14*d**7 - 9/2*d**6 + 13/4*d**4 + 0 - 27/20*d**5 + 4/3*d**3. Determine o so that j(o) = 0.
-1, -2/3, 1/3
Factor 12 + 40*o + o**3 + 37/3*o**2.
(o + 6)**2*(3*o + 1)/3
Let -14 - 42*r**2 - r + 9*r**3 + 9*r**2 - 1 - 56*r = 0. Calculate r.
-1, -1/3, 5
Factor 3*p**3 + 4*p - 7*p + 0*p.
3*p*(p - 1)*(p + 1)
Let a(s) = -2*s**3 - 6*s**2 + s - 4. Let v(o) = -o**3 - 6*o**2 + o - 4. Let m(y) = -2*a(y) + 3*v(y). Let l be m(6). Factor -3 + 2 + 2*r**2 - 6*r + 0*r**l + 5.
2*(r - 2)*(r - 1)
Let r(q) = 2*q + 16. Let v be r(-7). Let z(o) be the second derivative of 0*o**3 + 0 - 1/30*o**5 - v*o + 0*o**2 + 0*o**4 + 1/45*o**6. Factor z(j).
2*j**3*(j - 1)/3
Let t(j) = j**3 - 8*j**2 - 10*j + 13. Let r be t(9). Suppose 4*q - 3*z - 23 = 0, -5*q + r = 4*z + 14. Factor 1/2 + 1/2*i**3 - 3/2*i**q + i**4 - 1/2*i.
(i - 1)*(i + 1)**2*(2*i - 1)/2
Let q = -67 - -73. Let f(l) be the first derivative of -1/9*l**3 - 1 + 43/15*l**5 + 10/9*l**q - 1/3*l**2 + 0*l + 2*l**4. Suppose f(d) = 0. What is d?
-1, -2/5, 0, 1/4
Determine u, given that 2/9*u**2 + 2/9*u - 4/9 = 0.
-2, 1
Let g(c) be the second derivative of c**7/21 - c**6/15 - c**5/5 + c**4/3 + c**3/3 - c**2 - 31*c. Factor g(t).
2*(t - 1)**3*(t + 1)**2
Let y(m) = 9*m - 7. Let l be y(8). Factor -3*b**3 - 18*b + l*b**4 + 6*b**2 + 13*b**3 - 63*b**4.
2*b*(b - 1)*(b + 3)**2
Suppose 3*g + 1 = -8. Let f be 15/(-10)*(1 + g). Factor -2*d - 11*d - 13*d**2 + d - d**4 - 6*d**f - 4.
-(d + 1)**2*(d + 2)**2
Let m = 3/10 + -1/70. Let 0 + m*o**2 + 2/7*o = 0. Calculate o.
-1, 0
Let r(k) be the third derivative of k**5/210 - k**4/42 - 4*k**2. Factor r(b).
2*b*(b - 2)/7
Let q = -4052/1419 - -85/43. Let s = -6/11 - q. What is g in 1/3*g**3 + 1/3*g**2 - s*g - 1/3 = 0?
-1, 1
Let h(k) = -5*k**4 - 41*k**3 - 29*k**2 + 24*k - 17. Let d(b) = -b**4 - 7*b**3 - 5*b**2 + 4*b - 3. Let p(g) = 34*d(g) - 6*h(g). What is l in p(l) = 0?
-1, 0, 1, 2
Factor 1/4*y**3 + y + y**2 + 0.
y*(y + 2)**2/4
Let -28/11*w**2 + 8/11*w**4 - 40/11*w - 16/11 + 2/11*w**3 + 2/11*w**5 = 0. Calculate w.
-2, -1, 2
Let r(l) be the first derivative of 2 - 2/27*l**3 + 1/3*l**2 - 4/9*l. Solve r(x) = 0.
1, 2