+ 2)**2/3
Let y(z) = z - 12. Let w be y(14). Factor 0*g**3 - 2*g**w + 2*g**4 + 0*g**2 - 2*g**3 + 2*g.
2*g*(g - 1)**2*(g + 1)
Let b be (-44)/105 - 24/(-84). Let l = b - -23/60. Suppose -l*t + 0 - 1/4*t**2 = 0. What is t?
-1, 0
Let b(o) = -4*o**2 - 14*o - 10. Let c(d) = 8*d**2 + 29*d + 21. Let u(m) = -5*b(m) - 2*c(m). Factor u(i).
4*(i + 1)*(i + 2)
Factor 9*x**3 + 30*x - 40*x + 25*x - 3*x**4 + 27*x**2.
-3*x*(x - 5)*(x + 1)**2
Let j = 166/147 - -10/49. Solve 0 - 4/3*c**2 - 2/3*c**5 + j*c**4 + 2/3*c + 0*c**3 = 0 for c.
-1, 0, 1
Let f = -797 + 2365/3. Let h = 55/6 + f. Factor 1 + 2*z**2 + h*z**3 + 5/2*z.
(z + 1)**2*(z + 2)/2
Let w be -11 - 0 - (3 - 4). Let f be 1/2 + (-25)/w. Let 1/3*s**2 + 0*s + 2/3*s**4 + 0 + 3/2*s**f = 0. Calculate s.
-2, -1/4, 0
Let o = -115/12 + 39/4. Let k(f) be the second derivative of 0*f**2 + 0 + 1/12*f**4 + 4*f - o*f**3. What is l in k(l) = 0?
0, 1
Let a(o) be the second derivative of -o**5/5 - o**4 + 8*o**2 - 12*o. Factor a(w).
-4*(w - 1)*(w + 2)**2
Let x(v) be the second derivative of -v**4/42 - v**3/7 - 2*v**2/7 - 7*v. Suppose x(c) = 0. Calculate c.
-2, -1
Solve -36*l + 2 - 5*l**3 + 33*l - 12*l**2 - 2*l**3 = 0 for l.
-1, 2/7
Solve 24*o + 4*o**4 - 11*o**5 + 2*o**5 + 112*o**3 - 7*o**5 - 124*o**2 = 0.
-3, 0, 1/4, 1, 2
Let k be (1/(-2))/(5/(-75)). Find w such that k*w**3 - 9/4*w**4 - 1 - 37/4*w**2 + 5*w = 0.
2/3, 1
Let a(v) be the third derivative of -v**8/84 - 4*v**7/105 - v**6/30 + 4*v**2. What is w in a(w) = 0?
-1, 0
Let v be (-210)/36 + 9 - (-2)/(-12). Let p(y) be the second derivative of -1/2*y**v + 3*y + 0 + 0*y**2 + 1/4*y**4. Let p(i) = 0. What is i?
0, 1
Let h(t) be the first derivative of t**6/2 + 12*t**5/5 + 9*t**4/4 - 4*t**3 - 6*t**2 - 10. Find j, given that h(j) = 0.
-2, -1, 0, 1
What is t in 1/4*t**2 + 0*t - 3/8*t**3 + 1/8*t**4 + 0 = 0?
0, 1, 2
Factor 33 - 213 - 6*c**2 + c**2 + 60*c.
-5*(c - 6)**2
Suppose h - 2*o + 23 = 3*o, 14 = -3*h + 4*o. Solve 7*y**2 + 11*y**3 + h*y**5 - 9*y**4 + 3*y**3 - 16*y + 8 - 5*y**2 - y**4 = 0.
-1, 1, 2
Let h(b) be the third derivative of b**6/720 + b**5/180 - b**4/144 - b**3/18 + 18*b**2. Find y such that h(y) = 0.
-2, -1, 1
Let a be (12/1)/(-3 + (-45)/(-6)). Suppose r = -2 - 3, 4*r + 20 = -4*p. Let -2*q**3 + a*q**5 + p - 10/3*q**2 + 10/3*q**4 - 2/3*q = 0. Calculate q.
-1, -1/4, 0, 1
Let v(c) = 7*c**3 - 8*c**2 - 5*c + 2. Let f(l) = -5*l**3 + 7*l**2 + 4*l - 3. Let p(k) = 4*f(k) + 3*v(k). Suppose p(x) = 0. Calculate x.
-3, -2, 1
Factor -6*a**2 + 3*a**2 + 0*a**2 - 24*a - a**2 - 20.
-4*(a + 1)*(a + 5)
Let k(r) = -2*r**2 + 3*r + 2 + 1 - 2*r. Let c(w) = -w**2 + 0*w**2 + 419 - 418. Let u(n) = -3*c(n) + k(n). Factor u(s).
s*(s + 1)
Let p(a) be the third derivative of a**7/150 + 19*a**6/600 - 13*a**5/300 - 19*a**4/120 + a**3/5 - 9*a**2. What is f in p(f) = 0?
-3, -1, 2/7, 1
Let x(h) be the second derivative of h**4/24 - h**3/12 + 8*h. Solve x(d) = 0.
0, 1
Let u(p) = -9*p**3 + 6*p**2 + 12*p - 6. Let s(g) = g. Let w(o) = -3*s(o) + u(o). Factor w(x).
-3*(x - 1)*(x + 1)*(3*x - 2)
Suppose 2*j = 8*j + 126. Let b(s) = -s**4 - 2*s**3 - 8*s**2 - 7. Let d(o) = -o**2 - 1. Let z(a) = j*d(a) + 3*b(a). Factor z(m).
-3*m**2*(m + 1)**2
Let m(d) be the third derivative of d**7/420 + d**6/80 + d**5/120 - d**4/16 - d**3/6 + 8*d**2. Solve m(a) = 0 for a.
-2, -1, 1
Let f(z) be the first derivative of 12*z**3 + 6*z**2 + z - 15. Suppose f(s) = 0. Calculate s.
-1/6
Let l(d) be the first derivative of -5 - 1/9*d**2 + 0*d - 1/6*d**4 - 2/9*d**3 - 2/45*d**5. What is v in l(v) = 0?
-1, 0
Let l(u) be the third derivative of 2*u**7/525 + 2*u**6/75 + u**5/25 - 2*u**4/15 - 8*u**3/15 + 19*u**2. Factor l(v).
4*(v - 1)*(v + 1)*(v + 2)**2/5
Suppose 3*f = -l - 5, 3*l + 3*f + 25 = 4*l. Suppose 4*t + 2 = l. Suppose -2*z**5 - 3*z**3 + z**5 + 4*z**4 + 0*z**2 + z + 3*z - 4*z**t = 0. What is z?
-1, 0, 1, 2
Suppose 3/5*w**2 + 18/5*w + 8/5 - 2/5*w**3 = 0. Calculate w.
-2, -1/2, 4
Let f(c) be the second derivative of -c**5/100 + c**4/12 - c**3/10 - 9*c**2/10 + 2*c. Factor f(y).
-(y - 3)**2*(y + 1)/5
Let h(p) be the second derivative of 6*p**2 - 6*p**3 + 0 + 6/5*p**5 - 3/4*p**4 + p + 3/10*p**6. Factor h(c).
3*(c - 1)*(c + 2)**2*(3*c - 1)
Factor 148 - 295 + 2*x + 2*x**2 + 143.
2*(x - 1)*(x + 2)
Let d = 57/28 + -9/7. Let n be (6/(-20))/((-60)/50). Suppose -d*c + 1/2 + n*c**2 = 0. Calculate c.
1, 2
Let x(o) be the third derivative of -o**5/60 - 5*o**4/24 + o**2. Let c be x(-5). Suppose 1/2*b**2 + c*b + 0 = 0. What is b?
0
Factor 2/9*n**5 + 6*n**3 + 0*n + 2*n**4 + 6*n**2 + 0.
2*n**2*(n + 3)**3/9
Let j be -1*(0 + (4/(-2) - 1)). Let d(x) be the second derivative of -2/3*x**j + 0 - 3/10*x**5 + 5/6*x**4 + 2*x + 0*x**2. What is i in d(i) = 0?
0, 2/3, 1
Let t(q) = q**3 + 16*q + 17. Let o be t(-1). Factor 0*k + 3/5*k**5 + 6/5*k**4 + 0 + o*k**2 + 0*k**3.
3*k**4*(k + 2)/5
Let u(d) be the third derivative of -1/60*d**6 - 2/9*d**3 - 1/70*d**7 + 11/180*d**5 + 3*d**2 + 0 + 0*d + 1/18*d**4. Let u(k) = 0. What is k?
-1, 2/3
Let w(x) = -x**3 - 3*x**2 + 5*x + 6. Suppose -2*z + s = -4*z - 12, 0 = -5*z + s - 16. Let r be w(z). Find n such that 5 - n**r - n**2 - 3 = 0.
-1, 1
Let j(k) be the second derivative of -2*k**4/39 + k**3/13 + k**2/13 - 10*k. Let j(h) = 0. Calculate h.
-1/4, 1
Let i(d) be the first derivative of -d**4/66 + 2*d + 2. Let j(f) be the first derivative of i(f). Suppose j(q) = 0. Calculate q.
0
Let b = -327/2 + 165. Factor 0 - 3/4*z**4 + 15/4*z**2 - 9/4*z**3 - b*z + 3/4*z**5.
3*z*(z - 1)**3*(z + 2)/4
Let z(x) = -6*x**3 + 10*x**2 + 2*x - 6. Let v(h) = -h**3 + h**2. Let f(k) = 4*v(k) - z(k). Factor f(a).
2*(a - 3)*(a - 1)*(a + 1)
Let q = -307 - -3379/11. Let b = 147 + -145. Factor 0 - q*v**b - 2/11*v.
-2*v*(v + 1)/11
Let y be 2/(-3)*(7 - 10). Let a = 4 - y. Factor -2/7*w**4 - 6/7*w**a + 0 - 2/7*w - 6/7*w**3.
-2*w*(w + 1)**3/7
Let c(w) = 6*w**4 + 8*w**3 + 6*w**2 - 8*w + 3. Let d(a) = 5*a**4 + 7*a**3 + 5*a**2 - 7*a + 2. Let s(g) = -4*c(g) + 5*d(g). Factor s(v).
(v - 1)*(v + 1)**2*(v + 2)
Let p(h) = h**2 + h. Let f(q) = q**2 + q. Let k(y) = -4*f(y) + 5*p(y). Find i, given that k(i) = 0.
-1, 0
Let m(l) = l**3 + 20*l**2 - 20*l - 6. Let f(s) = 20*s**2 - 20*s - 5. Let k(q) = 6*f(q) - 5*m(q). Suppose k(t) = 0. Calculate t.
0, 2
Let d(r) = -r**2 + 2*r + 1. Let n(f) = -f + 1. Let k(m) = 3*d(m) - 3*n(m). Factor k(x).
-3*x*(x - 3)
Let q(j) be the third derivative of -j**5/150 - j**4/60 + 2*j**3/15 - 3*j**2. Factor q(z).
-2*(z - 1)*(z + 2)/5
Let t(v) be the third derivative of v**6/120 + 7*v**5/180 - 7*v**4/72 - v**3/6 - 7*v**2. Factor t(a).
(a - 1)*(a + 3)*(3*a + 1)/3
Let a(b) = b - 1. Let z = -2 - -3. Let s(o) = 2*o**2 + 2*o - 4. Let x(d) = -d**2 - d - 2. Let h be x(0). Let p(y) = h*a(y) + z*s(y). Factor p(i).
2*(i - 1)*(i + 1)
Let c(x) be the third derivative of -x**6/360 + x**4/72 - 8*x**2. Let c(v) = 0. What is v?
-1, 0, 1
Determine g so that 14*g**4 - 60*g**3 + 38*g**4 - 9*g**4 - 8 + 60*g + 9*g**4 - 44*g**2 = 0.
-1, 2/13, 1
Let p(d) be the first derivative of 2/3*d**3 - 3/4*d**4 + 1/2*d**2 + 0*d - 3. Factor p(i).
-i*(i - 1)*(3*i + 1)
Let b(a) be the second derivative of a**7/1050 - a**6/900 - a**5/150 + a**4/60 + a**3/2 - 3*a. Let f(c) be the second derivative of b(c). Factor f(d).
2*(d - 1)*(d + 1)*(2*d - 1)/5
Let w(f) = f**3 - 4*f**2 + f + 1. Let d be w(4). Determine o so that -3*o - 1 + 5*o**3 - d*o**3 - o**3 - 2*o**2 - o**2 = 0.
-1
Suppose -4*z - 37 = -1. Let y = -7 - z. Factor 1/2*d**y + 1/2*d + 0.
d*(d + 1)/2
Determine d so that 73*d**2 + 11 - 5*d**5 + 55*d + 30*d**3 - 5*d**4 + 4 - 3*d**2 = 0.
-1, 3
Let f be 1/(55/10 - 5). Factor 2/3*n**f - 1/3*n + 0*n**3 + 0 + 1/3*n**5 - 2/3*n**4.
n*(n - 1)**3*(n + 1)/3
Let w be -6 + -3 + 6 + 0. Let y be (12/(-18))/(8/w). What is a in -1/2*a**2 + 1/4*a + y*a**3 + 0 = 0?
0, 1
Suppose -3*u = -5*u + 4. Let d(t) be the second derivative of 1/4*t**4 + 1/40*t**5 + 2*t**2 + t**3 - u*t + 0. Factor d(v).
(v + 2)**3/2
Let h be (-84)/(-22) - (-12)/66. Let c be (-8)/(-20) + 14/15. Determine s so that 2/3*s**h - 2/3 + 0*s**2 - 4/3*s + c*s**3 = 0.
-1, 1
Let f = -683 + 687. Solve 0*r - 1/3*r**2 + 0 - 7/6*r**5 - 11/6*r**3 - 8/3*r**f = 0 for r.
-1, -2/7, 0
Let l(r) be the first derivative of -7*r**4/12 - 5*r**3/9 + r**2/3 + 6. Factor l(o).
-o*(o + 1)*(7*o - 2)/3
Let t = -2 + 0. Let r be 6/(-15) + t/(-5). Factor 4/7 + 6/7*i 