) + 3*k(g). Let r(z) = 0. What is z?
-1, -2/3, 0
What is b in 3*b**2 - 3*b**3 + 3*b - 1 + 0 + 0 - 2 = 0?
-1, 1
Let z(b) = 4*b**4 - 20*b**3 + 32*b**2 - 13*b + 3. Let q(m) = -8*m**4 + 40*m**3 - 64*m**2 + 27*m - 5. Let f(v) = 3*q(v) + 5*z(v). Factor f(n).
-4*n*(n - 2)**2*(n - 1)
Let r(m) be the second derivative of -1/60*m**5 + 0 + 0*m**2 + 1/36*m**6 + 3*m + 1/18*m**3 - 5/72*m**4. Factor r(i).
i*(i - 1)*(i + 1)*(5*i - 2)/6
Let g(y) = 19*y - 473. Let j be g(25). Factor 1/4*t**j - 1/4 + 0*t.
(t - 1)*(t + 1)/4
Let k(q) = -3*q**2 - 9*q + 5. Let m(s) = -s**2 - s + 1. Let v(b) = k(b) - 5*m(b). Factor v(o).
2*o*(o - 2)
Suppose 0 = 2*d - 4*y - 20, -5*y - 9 = -2*y. Suppose -2*j = 2*u - 14, d*j + j - 19 = 3*u. Factor -6*c**2 - 5 - 3*c - j*c + 3.
-2*(c + 1)*(3*c + 1)
Factor -4 + 3*z + 0*z**2 - 2*z**5 + 7*z - 4*z**2 + 8*z**4 - 8*z**3.
-2*(z - 2)*(z - 1)**3*(z + 1)
Let j(u) be the second derivative of u**9/22680 - u**8/15120 - u**7/3780 + u**6/1620 + u**4/4 - 2*u. Let r(a) be the third derivative of j(a). Solve r(h) = 0.
-1, 0, 2/3, 1
Let c(j) be the first derivative of 0*j**2 - 1/24*j**4 + 1/60*j**5 + 0*j + 2/3*j**3 - 2 - 1/360*j**6. Let l(v) be the third derivative of c(v). Factor l(o).
-(o - 1)**2
Let j be 3 + -4 - (2 + 0). Let h = 0 - j. Factor -1/5*g**4 + 1/5*g + 0 + 1/5*g**2 - 1/5*g**h.
-g*(g - 1)*(g + 1)**2/5
Let x(j) be the third derivative of j**6/1800 - j**5/600 - j**3/6 + 4*j**2. Let i(m) be the first derivative of x(m). Factor i(d).
d*(d - 1)/5
Let s(o) be the second derivative of -o**3/6 + 6*o**2 + 5*o. Let x be s(9). Let -2*a**2 - 2/3*a + 0 + 2*a**4 + 2/3*a**x = 0. Calculate a.
-1, -1/3, 0, 1
Let q be 1/2*(86/(-30) - -3). Let n(f) be the second derivative of 0 + q*f**6 - f - 1/3*f**3 + 0*f**2 - 1/6*f**4 + 1/10*f**5. Factor n(u).
2*u*(u - 1)*(u + 1)**2
Factor -7*s**2 + 5*s**2 + 3*s**2 + 1 - 2*s.
(s - 1)**2
Suppose 2*v + 5 = x, 0 = v + 6*x - 3*x + 20. Let u be (v/(70/(-4)))/1. Factor u*n**4 + 0*n + 0 + 4/7*n**3 + 2/7*n**2.
2*n**2*(n + 1)**2/7
Let u(n) = -n**2 + 7*n + 15. Let m(z) = -2*z**2 + 6*z + 16. Let i(g) = -3*m(g) + 4*u(g). Factor i(v).
2*(v + 2)*(v + 3)
Let f(y) be the first derivative of -2*y**5/25 + y**4/10 + 2*y**3/15 - y**2/5 - 8. Factor f(n).
-2*n*(n - 1)**2*(n + 1)/5
Let p be 2/(-30)*-51 + -3. Determine t, given that -12/5*t**2 + 8/5*t**3 + 8/5*t - 2/5*t**4 - p = 0.
1
Let x = 745/988 + -1/247. Find b such that 3/4*b**4 + 9/2*b**2 + x + 3*b**3 + 3*b = 0.
-1
Let d(v) be the second derivative of -5*v**7/21 - v**6/15 + 8*v**5/25 - 2*v**4/15 + 3*v. Let d(h) = 0. Calculate h.
-1, 0, 2/5
Let z be ((-9)/(-2))/(-3)*-2. Suppose z*v + 0*v = 15. Factor 30*k**v + 6*k**3 + 27*k**4 + 7 - 7.
3*k**3*(2*k + 1)*(5*k + 2)
Let y(l) be the first derivative of 2/3*l**3 + 14/25*l**5 - 1/5*l**2 + 0*l + 3 - 2/15*l**6 - 9/10*l**4. Determine z, given that y(z) = 0.
0, 1/2, 1
Suppose 4*l = -4*t + 16, -7*t + 5 = -2*t. Let 3*r**2 + r**2 - 5*r - l*r = 0. What is r?
0, 2
Let i(g) be the first derivative of -2 - 4*g**3 + 0*g - 3/4*g**4 - 6*g**2. Solve i(z) = 0.
-2, 0
Let g(s) be the third derivative of -2*s**2 + 0 - 1/448*s**8 + 0*s**3 + 0*s**5 + 0*s + 0*s**6 + 0*s**4 - 1/280*s**7. What is k in g(k) = 0?
-1, 0
Let n be 2*3/(-12)*-1. Factor -u + 3/2 - n*u**2.
-(u - 1)*(u + 3)/2
Factor -1/2*t**2 - 3/2*t + 0.
-t*(t + 3)/2
Let h(l) = -28*l**5 - 24*l**4 - 4*l**3 + 8*l**2 + 8*l - 8. Let c(t) = -t**5 + t**4 + t - 1. Let f(i) = -8*c(i) + h(i). Factor f(u).
-4*u**2*(u + 1)**2*(5*u - 2)
Let 12*z**3 - 7*z**3 + 16 + 30*z - 5*z**3 - 2*z**3 + 12*z**2 = 0. What is z?
-1, 8
Let t(l) be the second derivative of -l**7/2100 - l**6/450 - l**5/300 + l**3/3 + 2*l. Let r(y) be the second derivative of t(y). Factor r(v).
-2*v*(v + 1)**2/5
Let x(i) = -7*i**2 + 2. Let o(g) = -6*g**2 + 2. Let f(b) = 5*o(b) - 4*x(b). Factor f(s).
-2*(s - 1)*(s + 1)
Factor 3/4*h - 3/4*h**2 + 3/2.
-3*(h - 2)*(h + 1)/4
Let g(k) = -k**3 - 4*k**2 + 3*k - 2. Let o be g(-5). Factor 2*s**4 - o*s**3 - 11 + s**2 + 3 + 0*s**2 + 8*s + 5*s**2.
2*(s - 2)**2*(s - 1)*(s + 1)
Let f(l) be the third derivative of -l**8/2520 + l**7/756 - l**6/1620 - l**5/540 + l**3/3 + 6*l**2. Let x(j) be the first derivative of f(j). Factor x(v).
-2*v*(v - 1)**2*(3*v + 1)/9
Let k be -22 + (0 - 2 - -5). Let m = k + 96/5. Factor m*z - 2/5*z**2 + 1/5.
-(z - 1)*(2*z + 1)/5
Let z = 111/4 - -11/4. Let n = z - 29. Factor 1/4 + n*o**2 - o**3 - o + 1/4*o**4.
(o - 1)**4/4
Factor -5/2*z**4 + 1/3*z**2 + 0*z - 1/6*z**3 + 0.
-z**2*(3*z - 1)*(5*z + 2)/6
Find i, given that -2*i**3 + 21*i - 12*i - 14*i + 7*i**3 = 0.
-1, 0, 1
Suppose 2*z = 3*r - 16, 2*z - 1 = 1. Suppose -5*d - 7 = -r*d. Factor -d + 7 + l**2.
l**2
Suppose 2*y + 2 = 5*d, -d - 11 = -2*y - 5. Let -4*r + 2*r**3 + y*r = 0. Calculate r.
0
Suppose 2*t = -0*t - 5*v + 4, -3*v = -3*t + 6. Suppose 5*f - 4*f**4 - 6*f**3 + t*f**3 - 5*f - f**5 = 0. What is f?
-2, 0
Let v(y) be the first derivative of 0*y + 0*y**2 - 2/15*y**3 + 1/2*y**4 + 2. Solve v(h) = 0.
0, 1/5
Let n = -18 - -92/5. Suppose 2/5*j**2 - n*j**4 + 0*j**3 + 0*j + 0 = 0. Calculate j.
-1, 0, 1
Factor 1/5*a**2 - 1/5*a**5 + 1/5*a**3 + 0*a - 1/5*a**4 + 0.
-a**2*(a - 1)*(a + 1)**2/5
Determine k, given that 32/5 + 16/5*k**3 + 64/5*k + 2/5*k**4 + 48/5*k**2 = 0.
-2
Let m be 5*(-1)/5 + 5. Solve -2/7*x**m + 0 - 2/7*x**3 + 2/7*x + 2/7*x**2 = 0 for x.
-1, 0, 1
Let o(n) be the second derivative of -n**8/3360 + n**7/1260 + n**4/12 - 3*n. Let b(a) be the third derivative of o(a). Let b(j) = 0. Calculate j.
0, 1
Let n be 2/4*(9 - 9). Find r such that 3/2*r**3 - 1/2*r**2 + 2*r**4 + n*r + 0 = 0.
-1, 0, 1/4
Let l(g) = -g**3 - 3*g**2 + 8*g + 5. Let t be l(-5). Let k be -2 + 2 + 3/t. Find b, given that -1/5 - 1/5*b**3 + k*b + 1/5*b**2 = 0.
-1, 1
Factor 10*a**2 + 12*a - 19*a - 5*a**3 + 2*a.
-5*a*(a - 1)**2
Suppose -2*w - 3*w - 3 = -r, 3 = -3*w + r. Solve w - 4/5*q**2 + 4/5*q**4 + 0*q**3 - 2/5*q + 2/5*q**5 = 0 for q.
-1, 0, 1
Let l(p) be the third derivative of p**6/30 - p**4/2 - 4*p**3/3 - 4*p**2. Find n such that l(n) = 0.
-1, 2
Let k be -2 + -7 + 6/3. Let n = k - -12. Let -5 + 10*c**2 - 10*c**4 + n - 4*c + 4*c**3 = 0. What is c?
-1, 0, 2/5, 1
Let z(d) = d**3 + 9*d**2 - 10*d + 2. Let c be z(-10). Let g be -1 + 0 - 1 - -2. Factor -1/2*o**3 + 0*o**4 + 0 + g*o**c + 1/4*o**5 + 1/4*o.
o*(o - 1)**2*(o + 1)**2/4
Let p(a) = -2*a**2 + 5*a + 4. Let b(o) = -o**2 + o + 1. Let f(w) = -3*b(w) + p(w). Factor f(i).
(i + 1)**2
Let h be 3 - 4*(-3)/(-12). Suppose -2*y - 7 = 3*c, -4*y + h*c = -13 - 13. Determine i, given that -1/2*i**y + 0 - 1/2*i**3 + 0*i**2 + 0*i = 0.
-1, 0
Let t(p) be the third derivative of p**8/35 + p**7/7 + 11*p**6/40 + p**5/4 + p**4/8 - 5*p**3/6 - p**2. Let f(k) be the first derivative of t(k). Factor f(h).
3*(h + 1)**2*(4*h + 1)**2
Suppose -3*s + 0*s - 17 = -m, 0 = -4*s - 20. Suppose 3 = -5*o + 13. Factor 0*b + 4 - 2*b**2 + 2*b**3 - m - o*b.
2*(b - 1)**2*(b + 1)
Let c(k) = -k**3 + k**2 + k - 1. Let b(l) = -3*l**3 + 3*l**2 + 4*l - 4. Let v(m) = b(m) - 4*c(m). Factor v(z).
z**2*(z - 1)
Let q be 51/7 + (4 - 11). Factor -4/7*y + 0 - q*y**2.
-2*y*(y + 2)/7
Let m(g) be the third derivative of -1/60*g**5 - 3*g**2 + 0*g**6 + 0*g**3 + 0*g + 0 - 1/672*g**8 + 1/210*g**7 + 1/48*g**4. Solve m(q) = 0 for q.
-1, 0, 1
Let q = 15585/7 - 2232. Let i = -57/14 - q. Factor 1/2*c**3 - 1 - 1/2*c + i*c**2 - 1/2*c**4.
-(c - 2)*(c - 1)*(c + 1)**2/2
Let r(o) = 2*o**3 + 2*o**2 - 2*o + 3. Suppose u - 4*u = 6. Let f be 4/8*(u - -12). Let y(v) = v**3 + 2*v**2 - v + 4. Let g(w) = f*y(w) - 6*r(w). Factor g(h).
-(h - 1)*(h + 1)*(7*h + 2)
Let c be ((-9)/(-6) - -1)*10/75. Factor 0*i + 0*i**2 + c*i**4 + 1/3*i**3 + 0.
i**3*(i + 1)/3
Let 2/5*u**2 - 4/5*u + 2/5 = 0. What is u?
1
Let n(b) be the first derivative of 2*b**6/39 - 2*b**5/13 + 3*b**4/26 + 2*b**3/39 - b**2/13 - 7. Factor n(a).
2*a*(a - 1)**3*(2*a + 1)/13
Let d(h) be the first derivative of -3 - 3/2*h**2 + 0*h**5 + 0*h - 1/420*h**6 + 1/28*h**4 - 2/21*h**3. Let x(t) be the second derivative of d(t). Factor x(s).
-2*(s - 1)**2*(s + 2)/7
Let r(v) be the second derivative of -2/3*v**3 - 3*v + 0 - 2*v**2 + 11/12*v**4 + 1/21*v**7 + v**5 + 11/30*v**6. Find q such that r(q) = 0.
-2, -1, 1/2
Suppose 0 = -2*n + 6*n - 2*v + 220, 2*v = n + 52. Let x be 4/6 - n/(-147). Suppose 0 + 4/7*u - x*u**2 = 0. What is u?
0, 2
Let s(g) = g**4 - g**3 + g**2 + g. Let 