(g) - 8*n(g). Factor l(j).
-3*j*(j + 1)*(j + 2)
Let z(w) = w**2 + 3*w + 4. Let g be z(-1). Factor 8/3 - 8/3*i + 2/3*i**g.
2*(i - 2)**2/3
Let l(i) be the first derivative of -i**6/9 - 16*i**5/5 - 32*i**4 - 1024*i**3/9 - 4. Factor l(q).
-2*q**2*(q + 8)**3/3
Let z(n) be the first derivative of -n**6/60 + n**4/12 + 3*n**2/2 + 1. Let c(w) be the second derivative of z(w). Let c(o) = 0. Calculate o.
-1, 0, 1
What is q in 0 + 1/6*q**3 - 1/3*q - 1/6*q**2 = 0?
-1, 0, 2
Find r such that -12 + 8*r + 6*r - 2*r - 3*r**2 = 0.
2
Let j be (3 - 0)*(-2)/(-3). Let m = 7 - 3. Suppose w**j - w**m - w**2 + w**2 = 0. What is w?
-1, 0, 1
Let r(h) be the second derivative of -h**6/30 + h**5/60 + h**4/18 + 7*h. Factor r(a).
-a**2*(a - 1)*(3*a + 2)/3
Suppose 2 + 8 = 5*f. Let b be (-3 + 4)*(f - 2). Let 1 - 2 + 2*j**2 + 0*j + b - j = 0. What is j?
-1/2, 1
Let l(t) = t**2 - 5*t + 6. Let j be l(3). Determine d so that 0*d + j + 1/4*d**2 = 0.
0
Let q(n) = -3*n - 4. Let p be q(-2). Suppose -1/2*a - 1/2 + 1/2*a**3 + 1/2*a**p = 0. What is a?
-1, 1
Let a be 8/(-3)*(-6)/(-4). Let i = 6 + a. Factor h**3 - 2*h**i - 4*h + 3*h**3 - 2*h**3.
2*h*(h - 2)*(h + 1)
Suppose 8*b - 2 = 38. Let w(h) be the third derivative of 0*h + 0 + 0*h**3 - h**2 - 1/24*h**4 - 1/30*h**6 - 1/12*h**b. Factor w(m).
-m*(m + 1)*(4*m + 1)
Let a(l) be the second derivative of -5*l**7/42 + l**6/2 - l**5/2 - 5*l**4/6 + 5*l**3/2 - 5*l**2/2 + 6*l + 2. What is j in a(j) = 0?
-1, 1
Let s be 25/50*(-3)/(18/(-4)). Suppose -q - 1/3 - s*q**3 - q**2 = 0. Calculate q.
-1
Factor -1 + 21*q - 441/4*q**2.
-(21*q - 2)**2/4
Factor 0*g + 0 + 1/4*g**2 + 1/4*g**3.
g**2*(g + 1)/4
Let c = 2/21 + 17/42. Let b(w) be the first derivative of -1/4*w**3 + c*w**2 - 2 - 1/4*w. Factor b(m).
-(m - 1)*(3*m - 1)/4
Let -2/5 + 14/15*m - 8/15*m**2 = 0. What is m?
3/4, 1
Let x be 4/(-14) - 142/(-7). Let d be 28/16*x/14. Factor -1/4*z**5 - 5/4*z**4 - 1/4 - 5/2*z**3 - 5/4*z - d*z**2.
-(z + 1)**5/4
Suppose -26 = 4*u + 2*n + 12, 0 = -2*u + n - 21. Let p = u - -14. Determine a, given that 2/3*a**2 + 1/3*a**5 - 1/3*a + 0*a**3 - 2/3*a**p + 0 = 0.
-1, 0, 1
Suppose -2 = -5*d + 4*d. Factor 10*t**4 + 16*t**3 - t**5 - 4*t**d + 3*t**5 + 12*t**2.
2*t**2*(t + 1)*(t + 2)**2
Let s(y) be the first derivative of -2/3*y - 1 + 1/6*y**2 + 1/9*y**3. Factor s(o).
(o - 1)*(o + 2)/3
Let w(g) = g**5 - g**4 - g**3 - g**2 - 2*g - 2. Let x(z) = 2*z**5 - 2*z**4 - 2*z**3 - z**2 - 3*z - 3. Let b(f) = -3*w(f) + 2*x(f). Factor b(m).
m**2*(m - 1)**2*(m + 1)
Let h(t) be the third derivative of t**6/24 - t**5/12 - 5*t**4/24 + 5*t**3/6 - 4*t**2. Find k such that h(k) = 0.
-1, 1
Let g be 33/77 - (5/28 - 0). Solve 0 - 1/4*u**4 + g*u**2 + 1/2*u**3 - 1/2*u = 0.
-1, 0, 1, 2
Let r = -261/2 + 131. Factor 1/2*m**3 + m**2 - r*m - 1.
(m - 1)*(m + 1)*(m + 2)/2
Let l = 771 + -1539/2. Factor -3/2*k**4 + 3/4*k**5 + 0*k**3 + l*k**2 - 3/4*k + 0.
3*k*(k - 1)**3*(k + 1)/4
Suppose o + a + 6 = 2*o, -5*o = 2*a + 5. Suppose -8 = -3*d + o. Find p, given that p - p**2 - p**2 - d*p = 0.
-1, 0
Let h(p) be the first derivative of -2*p**2 + p**4 - 8*p + 8/3*p**3 + 2. Factor h(i).
4*(i - 1)*(i + 1)*(i + 2)
Let i(p) be the second derivative of p**7/525 - p**6/300 - p**2/2 - 3*p. Let b(w) be the first derivative of i(w). Let b(x) = 0. Calculate x.
0, 1
Let g(j) be the first derivative of -j**6/21 - 6*j**5/35 - j**4/14 + 2*j**3/7 + 2*j**2/7 - 6. Let g(p) = 0. What is p?
-2, -1, 0, 1
Let g(r) = 14*r + 3*r**2 + 11*r - 19*r + 3. Suppose -3*a - 9 = 3. Let w(s) = s**2 + s + 1. Let h(p) = a*w(p) + g(p). Factor h(y).
-(y - 1)**2
Let r(x) be the second derivative of -3/10*x**5 + 0 + 3/4*x**2 + 3/4*x**4 - x**3 + 4*x + 1/20*x**6. Solve r(u) = 0 for u.
1
Let 0*l**2 - l**4 + 3/4*l**3 + 0*l + 1/4*l**5 + 0 = 0. What is l?
0, 1, 3
Let i(c) be the third derivative of -c**8/33600 + c**7/12600 + c**4/6 + 2*c**2. Let a(p) be the second derivative of i(p). Solve a(w) = 0 for w.
0, 1
Let r(q) = 0 + 3*q**3 - 2*q**3 - 2 - 2 + q - 7*q**2. Let v be r(7). Find w, given that 1/4*w**4 + 1/4 + 3/2*w**2 - w - w**v = 0.
1
Let d be (-400)/(-28) - 4 - 10. Factor -d*y**2 - 2/7 + 4/7*y.
-2*(y - 1)**2/7
Factor 0*i + 2/17*i**2 + 0.
2*i**2/17
Let k be 4/2 + (6 - 1). Let w be 2/(-4) + k/2. Factor -p**5 - 3*p + 2*p - p**3 + 3*p**w.
-p*(p - 1)**2*(p + 1)**2
Let j be 2 + 1 - 4/2. Let w be (-8)/(-4)*(j + 0). Factor 2 + 7*t**3 + 16*t + w + 2*t**3 - 34*t**3 + 5*t**2.
-(t - 1)*(5*t + 2)**2
Let u(r) be the first derivative of -2*r**5/25 - r**4/10 + 2*r**3/5 + r**2/5 - 4*r/5 - 3. Suppose u(q) = 0. What is q?
-2, -1, 1
Find s, given that -2/5*s**3 + 4/5*s**4 + 2/5*s**5 + 0*s - 4/5*s**2 + 0 = 0.
-2, -1, 0, 1
Suppose -6*d = d - d. Find o, given that d + 2/3*o**3 + 1/3*o**4 + 1/3*o**2 + 0*o = 0.
-1, 0
Determine t, given that 5*t**2 + 5*t**3 + 156 - 10*t - 156 = 0.
-2, 0, 1
Let b = 7 + 3. Determine a so that -3 - 9 + 212*a**3 + 12*a**3 + 176*a**2 - b*a = 0.
-3/4, -2/7, 1/4
Let z(v) be the third derivative of 0*v**3 + 4*v**2 + 1/48*v**4 - 1/80*v**5 - 1/1344*v**8 + 0 - 1/480*v**6 + 1/280*v**7 + 0*v. Find p, given that z(p) = 0.
-1, 0, 1, 2
Suppose 1/8*q**2 + 0*q - 1/8 = 0. Calculate q.
-1, 1
Let f be 0/(16/(-12)*-3). Suppose x - 10 = -4*d - 0, -3*x + 6 = f. Factor -2/7 - 4/7*i - 2/7*i**d.
-2*(i + 1)**2/7
Factor 4/3*n**3 - 2/3*n**2 - 5/6*n**4 + 1/6*n**5 + 0*n + 0.
n**2*(n - 2)**2*(n - 1)/6
Let p = 18/11 - 3/22. Factor -3*w - 3/2*w**2 - p.
-3*(w + 1)**2/2
Let g(y) be the first derivative of 0*y**2 + 0*y**3 - 1/9*y**6 + 1 - 1/3*y**4 + 0*y - 2/5*y**5. Factor g(k).
-2*k**3*(k + 1)*(k + 2)/3
Suppose 0*l - 2*l + 3*k + 16 = 0, -5*l - 3*k = 2. Factor 2*d - l*d**2 - 2/3 + 2/3*d**3.
2*(d - 1)**3/3
Let h(g) be the first derivative of 2/3*g + 2/3*g**2 + 2/9*g**3 - 1. Suppose h(z) = 0. Calculate z.
-1
Let c(z) = -z**3 + 4*z**2 - 5. Let v be c(3). Let q be 3/v - (-204)/112. Determine j so that q + 2/7*j**2 + 12/7*j = 0.
-3
Let k(t) be the second derivative of -t**6/150 - t**5/50 - 4*t. Solve k(l) = 0.
-2, 0
Let w(q) = -65*q**3 - 40*q**2 + 235*q - 130. Let h(f) = -5*f**3 - 3*f**2 + 18*f - 10. Let k(m) = 40*h(m) - 3*w(m). Let k(s) = 0. What is s?
-2, 1
Let k(t) = -22*t - 11*t**2 + 43 + 5*t - t**3 - 30. Let y be k(-9). Suppose 112*s**3 + 144*s**2 + 32/7 + 320/7*s - 98*s**y = 0. What is s?
-2/7, 2
Let q(i) be the second derivative of -i**4/3 + 8*i**3/3 - 8*i**2 + 3*i. Factor q(y).
-4*(y - 2)**2
Suppose -w + 1 = -8. Suppose 0 = -2*x - a - 3*a + 18, w = 3*a. Factor 0 + 1/6*z**4 - 1/6*z**x + 1/6*z - 1/6*z**2.
z*(z - 1)**2*(z + 1)/6
Let f(z) be the first derivative of 147*z**5/5 - 357*z**4/4 + 18*z**3 + 66*z**2 + 24*z + 9. Factor f(y).
3*(y - 2)*(y - 1)*(7*y + 2)**2
Let r(c) be the second derivative of -c**5/90 - c**4/54 + 2*c**3/27 + 22*c. Let r(v) = 0. What is v?
-2, 0, 1
Let c(x) = -x - 1. Let i(b) = 3*b**2 + 9*b + 15. Let f(q) = 15*c(q) + i(q). Factor f(z).
3*z*(z - 2)
Let v(f) be the second derivative of 0*f**3 + 0*f**2 - 1/15*f**5 + 1/90*f**6 + 0 + 2*f + 1/9*f**4. Factor v(r).
r**2*(r - 2)**2/3
Factor 12 + 3/4*g**2 + 6*g.
3*(g + 4)**2/4
Let t(o) = -o**2 - 9*o. Let s be t(-7). Suppose 4*d - z = 10, 2*d - 4*z = -d + s. Factor -2/5*b**3 + 4/5*b - 2/5*b**d + 0.
-2*b*(b - 1)*(b + 2)/5
Let a be (2 + 0 - 0) + 0. Let w = 21 + -15. Factor 1 - 2*q**3 - w*q - 1 + 2 + 6*q**a.
-2*(q - 1)**3
Let s(o) be the first derivative of -4 + 3/2*o - 3/4*o**4 + 0*o**2 - 3/2*o**3. Solve s(k) = 0.
-1, 1/2
Let o(g) = 4*g**3 - 9*g**2 + 14*g - 6. Let p(b) = -5*b**3 + 10*b**2 - 15*b + 6. Let k(f) = 4*o(f) + 3*p(f). Factor k(m).
(m - 3)*(m - 2)*(m - 1)
Let l(b) = b - 1. Let a(f) = 3*f**2 - 31*f + 52. Let u(r) = -a(r) + 2*l(r). Factor u(g).
-3*(g - 9)*(g - 2)
Let r = -3/164 + 677/1148. What is y in 2/7*y**2 + 6/7*y + r = 0?
-2, -1
Let s(d) be the third derivative of -d**9/75600 - d**8/25200 + d**7/6300 + d**6/900 + d**5/30 + 7*d**2. Let t(w) be the third derivative of s(w). Factor t(z).
-4*(z - 1)*(z + 1)**2/5
Suppose -3/5*q**2 - 6/5*q + 9/5 = 0. What is q?
-3, 1
Determine d, given that -1/4*d**5 - 15/2*d**3 - 9/4 - 9/4*d**4 - 33/4*d - 23/2*d**2 = 0.
-3, -1
Suppose -5*o = -2*o + 6. Let l(s) = s**3 - s**2 - 3*s - 3. Let k(d) = -3*d**3 + 4*d**2 + 10*d + 10. Let x(j) = o*k(j) - 7*l(j). Factor x(q).
-(q - 1)*(q + 1)**2
Let m = 1/573 + 1141/2865. Factor -2/5*v**3 + 0 - m*v**4 + 2/5*v + 2/5*v**2.
-2*v*(v - 1)*(v + 1)**2/5
Let