)/4). Let u = 4 - 0. Factor -5*l + l**b + u + 6*l + 3*l.
(l + 2)**2
Let b(r) be the first derivative of 0*r + 2 - r**2 + 1/3*r**3. Factor b(j).
j*(j - 2)
Let v be 2/7 - 94/(-14). Factor v*f**3 - 4*f + 6*f**2 + 12*f**2 - 6*f**2.
f*(f + 2)*(7*f - 2)
Let d(a) = a**4 + 5*a**3 + 18*a**2 + 14*a. Let f(y) = -y**2 - y. Let j(z) = -2*d(z) - 22*f(z). Let j(i) = 0. Calculate i.
-3, -1, 0
Let h(m) = 2*m**2 + m + 5. Let a(p) = -10*p**2 - 4*p - 26. Let o(v) = 3*a(v) + 16*h(v). Solve o(n) = 0.
-1
Let t(r) be the first derivative of -6*r + 15/2*r**2 + 1 + 7*r**3. What is u in t(u) = 0?
-1, 2/7
Find p, given that 0*p**4 + 35*p**2 + 5*p**4 - 3*p**4 + 3*p**4 + 15*p + 25*p**3 = 0.
-3, -1, 0
Let j(x) = x**3 + x**2 - x + 1. Suppose 8 = k + 3*z, 5*k + z = 2*k. Let p(g) = -g**3 - g**2 - g + 1. Let t(v) = k*p(v) + j(v). Factor t(m).
2*m**2*(m + 1)
Determine c, given that 6 - 7*c**5 + 4*c**4 + 29*c - 22*c**3 - 13*c**4 + 13*c**2 - 21*c**4 + 11*c**2 = 0.
-3, -1, -2/7, 1
Find g such that -4/5*g**2 + 12/5*g - 8/5 = 0.
1, 2
Let d(x) be the third derivative of 3*x**6/8 - x**5/4 - 5*x**4/3 + 10*x**3/3 + 26*x**2. Determine o so that d(o) = 0.
-1, 2/3
Suppose 1 = 3*z - 8. Let s(d) be the first derivative of 3 + 2/3*d**z - 4*d - d**2. Factor s(a).
2*(a - 2)*(a + 1)
Let r = -95/2 + 52. Factor 0*x**2 + 3 - r*x + 3/2*x**3.
3*(x - 1)**2*(x + 2)/2
Solve -4*j**2 + j**3 + 3*j**3 - 7*j**3 + 7*j**3 = 0 for j.
0, 1
Suppose -96 = -2*j + 12. Let n be 1*3 + (-36)/j. Factor -2/3 + 5/3*y**4 - n*y - y**2 + 7/3*y**3.
(y - 1)*(y + 1)**2*(5*y + 2)/3
Let t(m) be the third derivative of m**5/390 - m**4/156 + 2*m**2. Factor t(p).
2*p*(p - 1)/13
Let t(n) be the first derivative of -n**3/15 - n**2/10 - 17. Determine p so that t(p) = 0.
-1, 0
Determine k so that 12*k**2 - 8 + 0*k**2 + k**2 - 7*k**2 - 2*k**3 = 0.
-1, 2
What is l in -1/4*l**3 + 0*l + 0 + 3/4*l**2 = 0?
0, 3
Let a(b) = -2*b**3 + 3*b**2 + 0*b + b**3 + 0*b. Let h be a(3). Factor h + 1/2*p - 1/2*p**2.
-p*(p - 1)/2
Let g = 181 + -1265/7. Let u(x) = x**3 - 7*x**2 + 6*x + 4. Let l be u(6). Factor 0*h + g*h**2 - 2/7*h**l + 0 + 0*h**3.
-2*h**2*(h - 1)*(h + 1)/7
Let h be (-2)/(-72) - (-2)/9. Let g = 1/4 + h. Determine w, given that -g*w**2 + 0 - 1/2*w = 0.
-1, 0
Factor -8/7*d**2 + 10/7*d - 4/7 + 2/7*d**3.
2*(d - 2)*(d - 1)**2/7
Determine u so that 0 - 6/5*u**3 + 0*u + 0*u**2 + 3/5*u**4 = 0.
0, 2
Let t(f) be the third derivative of -9*f**2 - 2/15*f**5 + 1/10*f**6 + 0*f**3 - 2/105*f**7 + 0 + 0*f + 0*f**4. Factor t(j).
-4*j**2*(j - 2)*(j - 1)
Solve 0 - 3/4*a**3 + 1/4*a**5 + 1/4*a**4 - 1/2*a - 5/4*a**2 = 0 for a.
-1, 0, 2
Suppose 0 = 4*p + p - 20. Let j(k) be the second derivative of -1/22*k**p + 0*k**2 + 1/33*k**3 + 0 - 1/165*k**6 + k + 3/110*k**5. Let j(x) = 0. What is x?
0, 1
Let f(y) = 2*y**3 - y**2 + 3. Let v(n) = -7 - n**3 + 2 + 4. Let s(b) = -f(b) - 3*v(b). Factor s(p).
p**2*(p + 1)
Let n(b) be the third derivative of 0 - 1/40*b**6 + 6*b**2 + 0*b**3 + 0*b**4 + 0*b + 1/20*b**5. What is w in n(w) = 0?
0, 1
Let c(i) be the second derivative of -2*i**8/63 - 8*i**7/315 - i**6/180 + i**2/2 - 2*i. Let u(r) be the first derivative of c(r). Factor u(p).
-2*p**3*(4*p + 1)**2/3
Let w = 155 - 152. Let k(s) be the second derivative of 1/5*s**w - 2/5*s**2 - 1/30*s**4 + 0 - s. Factor k(u).
-2*(u - 2)*(u - 1)/5
Suppose 0 = -2*o - 1 + 15. Let h = 9 - o. Let -2/5*v**h - 2/5*v + 2/5*v**3 + 2/5*v**4 + 0 = 0. What is v?
-1, 0, 1
Suppose f - 6*f + 5 = 0. Suppose 4*l - 7*l + 2*w = 1, -w - 1 = -2*l. Factor 14*y - l + 10*y**2 - 2*y**2 - f.
2*(y + 2)*(4*y - 1)
Let z(x) be the second derivative of 7*x**5/5 + 16*x**4/3 + 22*x**3/3 + 4*x**2 - 9*x. What is l in z(l) = 0?
-1, -2/7
Let l = 3 - 0. Factor m**3 - 3*m - m**4 + m + l*m + m**2 - 2*m.
-m*(m - 1)**2*(m + 1)
Let m(f) be the second derivative of -1/3*f**3 - 3*f - 1/12*f**4 + 0*f**2 + 0. Factor m(n).
-n*(n + 2)
Let j(y) = 7*y**3 + 2*y**2 - y + 4. Let h(a) = -8*a**3 - a**2 + 2*a - 5. Suppose -1 - 3 = -z. Let b(u) = z*h(u) + 5*j(u). Find p such that b(p) = 0.
-1, 0
Factor 20/9*g + 50/9 + 2/9*g**2.
2*(g + 5)**2/9
Suppose 3*s - z - 12 = 0, -3*s - 3*z + 6 = -6. Suppose -s*f + 1 = -7. Suppose q**2 - q**2 - q + 3*q - 3*q**f + q**3 = 0. What is q?
0, 1, 2
Let m(q) be the third derivative of q**6/96 - q**5/48 - 5*q**4/96 + 5*q**3/24 + 8*q**2. Find w, given that m(w) = 0.
-1, 1
Let y(u) be the second derivative of u**5/6 - u**4/6 - 2*u**3/9 - 7*u. Determine x, given that y(x) = 0.
-2/5, 0, 1
Let h(u) be the second derivative of -2*u**5/5 - 13*u**4/6 - u**3 + 13*u. Solve h(k) = 0 for k.
-3, -1/4, 0
Let s be 72/39 + -2 - (-123)/39. Let k(a) be the first derivative of -3 + 0*a**2 + 0*a + 1/12*a**s. Factor k(r).
r**2/4
Let n(y) = y**2 + y. Let k(l) = 9*l**2 + 23*l - 6. Suppose 2 - 5 = 3*o. Let g(s) = o*n(s) + k(s). Factor g(q).
2*(q + 3)*(4*q - 1)
Let j(l) = 6*l**2 + 7*l - 5. Let s(m) = 5*m**2 + 6*m - 4. Let x(y) = -4*j(y) + 5*s(y). What is f in x(f) = 0?
-2, 0
Let f = -61 - -115/2. Let s = f + 4. Factor -s + 1/4*a**2 - 1/4*a.
(a - 2)*(a + 1)/4
Let j(a) = -2*a - 2*a**2 + a + 2*a**2 - a**2. Let d(k) = 6*k. Let h(r) = -d(r) - 2*j(r). Let h(c) = 0. Calculate c.
0, 2
Let j(l) be the third derivative of l**6/80 + l**5/20 - l**4/16 - l**3/2 - 4*l**2. Factor j(i).
3*(i - 1)*(i + 1)*(i + 2)/2
Factor 3*h + 18*h**3 - 33/2*h**2 + 0.
3*h*(3*h - 2)*(4*h - 1)/2
Let c(l) be the first derivative of l**6/24 - l**5/20 - l**4/16 + l**3/12 - 2. Solve c(p) = 0 for p.
-1, 0, 1
Let t(u) be the third derivative of u**7/735 - u**6/84 + 4*u**5/105 - u**4/21 - 19*u**2. Factor t(c).
2*c*(c - 2)**2*(c - 1)/7
Let a be ((-1)/(-3) + -1)*-6. Suppose -a*z + 6 = -2*z. Let z - 1 + 12*g**2 + 5*g + 3*g + 8*g**3 + 2*g**4 = 0. Calculate g.
-1
Factor -1/3*a**2 + 1/6*a**4 + 1/6 - 1/6*a**5 + 1/3*a**3 - 1/6*a.
-(a - 1)**3*(a + 1)**2/6
Factor 1/6*x**3 + 0 + 1/3*x**2 + 1/6*x.
x*(x + 1)**2/6
Let v be (-4)/(-10)*(-55)/(-33). Let l(r) be the first derivative of 2/9*r**3 + 1 + 7/6*r**2 - v*r - 7/12*r**4. Factor l(y).
-(y - 1)*(y + 1)*(7*y - 2)/3
Let c(m) be the third derivative of -m**7/70 - 3*m**6/40 + m**4/2 + 2*m**2. Factor c(b).
-3*b*(b - 1)*(b + 2)**2
Let m(p) be the first derivative of -1/2*p**3 + 1/20*p**5 + p**2 + 0*p**4 + 2 - 3*p. Let k(c) be the first derivative of m(c). Factor k(l).
(l - 1)**2*(l + 2)
Let y(u) = -u**3 - u**2 + u + 12. Let a be y(0). Let i(o) be the first derivative of 3*o**4 - 6*o**2 + 3 - 3/5*o**5 - 3*o**3 + a*o. What is d in i(d) = 0?
-1, 1, 2
Let t be (8 - (6 + 2))*-1. Determine n so that -1/4*n**5 + 0 - 1/2*n**4 - 1/4*n**3 + 0*n + t*n**2 = 0.
-1, 0
Factor 0*y**4 + 0 + 0*y**2 - 1/2*y**5 + 0*y + 1/2*y**3.
-y**3*(y - 1)*(y + 1)/2
Find s, given that -1/4*s**3 - 1/2 - 5/4*s - s**2 = 0.
-2, -1
Let i(b) be the first derivative of -b**7/840 + b**6/360 + b**5/120 - b**4/24 + b**3 + 2. Let l(h) be the third derivative of i(h). What is s in l(s) = 0?
-1, 1
Suppose 5*x - 20 = 3*x + 4*p, 3*x - 3*p - 18 = 0. Factor -15*c**2 + 0*c**3 + 8*c**4 + 28*c**3 + 16*c**x + 4 + 35*c**2 + 20*c.
4*(c + 1)**3*(2*c + 1)
What is k in 24 - 17*k - 3*k**3 + 7*k**3 - 11*k = 0?
-3, 1, 2
Let f = 0 - 0. Suppose j = h - 6, 3*j + f = 2*h - 14. Determine x, given that -2 + x**4 + 8*x**2 + x**3 + 0*x - 7*x**h - x = 0.
-1, -1/2, 2/3, 1
Let h(l) = -3*l**2 + 7*l. Let q(f) = 2*f**2 - 3*f. Let p(a) = -3*h(a) - 7*q(a). Solve p(k) = 0.
0
Let f = 428 + -425. Determine d so that d + 0 + 5/4*d**f + 1/4*d**4 + 2*d**2 = 0.
-2, -1, 0
Let z(i) be the first derivative of -3/4*i**2 - 1/6*i**3 + 4 + 0*i. Factor z(x).
-x*(x + 3)/2
Let a(r) = r**3 - r + 1. Let l(m) = 107*m**2 + 1 - 19*m**3 - 2 - 31*m - 14*m**2 - 147*m**4. Let j(n) = -5*a(n) - l(n). Suppose j(x) = 0. What is x?
-1, 2/7, 1/3
Let x(h) = -9*h**2 + 111*h + 21. Let d(f) = -f**2 + 11*f + 2. Let i(w) = -21*d(w) + 2*x(w). Let i(y) = 0. Calculate y.
0, 3
Suppose -38 = 6*x - 3*x + 4*p, -2*x - 22 = 2*p. Let q(r) = -r + 5. Let f be q(x). Solve -f*y + 24*y**2 + 1 + 63*y**3 - 22*y + 3 + 2 = 0.
-1, 2/7, 1/3
Let a(l) be the first derivative of -4/9*l**3 - 1/6*l**4 - 1/3*l**2 + 0*l + 2. Let a(w) = 0. Calculate w.
-1, 0
Suppose 10*n**3 + n**4 - 2*n**4 - 5*n + 10 + n**4 + 10*n**4 - 20*n**2 - 5*n**5 = 0. Calculate n.
-1, 1, 2
Let j = 20 + -6. Let y be 4/j + 1 + -1. Suppose y*i - 2/7*i**2 + 4/7 = 0. Calculate i.
-1, 2
Let l(a) be the first derivative of -a**3/24