*v**3/33 + 152*v**2/11 - 296*v/11 - 393. Factor s(g).
2*(g - 37)*(g - 2)**2/11
Let q(t) = t**3 - t**2 - t - 1. Let w(n) = -4*n**3 + 4*n**2 + n + 9. Let f(r) = -5*q(r) - w(r). Factor f(a).
-(a - 2)*(a - 1)*(a + 2)
Factor 7/5*p + 1/5*p**2 + 6/5.
(p + 1)*(p + 6)/5
Let d(j) be the first derivative of 0*j + 0*j**4 + 3*j**3 + 12 + 3*j**2 - 3/5*j**5. Suppose d(m) = 0. What is m?
-1, 0, 2
Let l(z) be the first derivative of -5/4*z**4 - 30*z**2 + 40*z + 10*z**3 + 4. Solve l(m) = 0 for m.
2
Find g such that 3/2*g**4 - 1/4*g**5 - 2*g**3 + 0 + 9/4*g - 3/2*g**2 = 0.
-1, 0, 1, 3
Suppose -f - 11*f = -24. Solve -6 + f + 3 + c**2 = 0 for c.
-1, 1
Let x(b) be the third derivative of b**5/140 - 2*b**4/7 + 32*b**3/7 + 26*b**2. Find r, given that x(r) = 0.
8
Factor -3/4*l**3 + 1/2 + 1/2*l**2 + 7/4*l.
-(l - 2)*(l + 1)*(3*l + 1)/4
Let q(v) be the third derivative of -v**6/90 + 2*v**5/45 + 7*v**4/18 + 8*v**3/9 + 2*v**2 - 9. Find y, given that q(y) = 0.
-1, 4
Let r(s) be the third derivative of s**8/1680 + s**7/630 - s**6/90 - s**4/6 - 8*s**2. Let y(d) be the second derivative of r(d). Factor y(o).
4*o*(o - 1)*(o + 2)
Let f(q) be the first derivative of 2*q**5/15 + q**4/3 - 2*q**3/9 - 2*q**2/3 + 330. Factor f(m).
2*m*(m - 1)*(m + 1)*(m + 2)/3
Let x(y) be the first derivative of -y**4/2 + 42*y**3 + y**2 - 126*y - 185. Factor x(p).
-2*(p - 63)*(p - 1)*(p + 1)
Let t = 3247/2424 - 5/808. Let y(k) be the third derivative of 0*k - t*k**3 + 1/30*k**6 + 6*k**2 + 0*k**5 - 1/2*k**4 + 0. Factor y(n).
4*(n - 2)*(n + 1)**2
What is z in -4/7*z**3 + 0 + 2/7*z**4 - 6/7*z**2 + 0*z = 0?
-1, 0, 3
Let j(g) be the second derivative of -g**6/40 + 27*g**5/40 - 3*g**4 - 80*g**3 + 1152*g**2 + g + 47. Factor j(h).
-3*(h - 8)**3*(h + 6)/4
Let y(g) be the third derivative of -3*g**2 - 7/12*g**6 + 0 - 5/168*g**8 + 0*g**3 + 3/14*g**7 + 0*g + 3/4*g**5 - 5/12*g**4. Find r, given that y(r) = 0.
0, 1/2, 1, 2
Let z(q) = -4*q**4 + 2*q**3 - 6*q**2 + 18*q + 5. Let o(i) = 3*i**4 - i**3 + 6*i**2 - 16*i - 4. Let k(f) = -5*o(f) - 4*z(f). Factor k(c).
c*(c - 4)*(c - 1)*(c + 2)
Let y(c) be the third derivative of c**9/141120 + c**8/47040 - c**7/5880 - 17*c**5/60 - 12*c**2. Let m(q) be the third derivative of y(q). Factor m(d).
3*d*(d - 1)*(d + 2)/7
Determine f so that -57*f + 817 - 3317 - 4*f**2 + 28*f + 229*f = 0.
25
Let b be 140/15 + -12 + 4. Factor -16/3*w**2 + 8/3*w + 0 - b*w**4 + 1/6*w**5 + 4*w**3.
w*(w - 2)**4/6
Let s(y) be the first derivative of 10/3*y**3 + 15/2*y**2 + 0*y - 19 - 5/4*y**4. Determine m so that s(m) = 0.
-1, 0, 3
Suppose 7*c - 15 = 2*c. Let j(p) be the third derivative of 1/12*p**5 - c*p**2 - 1/24*p**4 + 0 + 0*p + 0*p**3. Factor j(d).
d*(5*d - 1)
Factor 0*b**2 + 0*b + 3/7*b**4 + 0 + 4/7*b**3 - 1/7*b**5.
-b**3*(b - 4)*(b + 1)/7
Find k, given that -45*k**2 + 14 - 15 + 26 + 220*k = 0.
-1/9, 5
Let 35*i**4 + 12 - 23*i**2 - 32*i**2 + 8 - 10*i**3 - 10*i**5 + 20*i = 0. Calculate i.
-1, -1/2, 1, 2
Let t = 1120 - 1117. Let n(f) be the second derivative of 1/20*f**4 + 0 + 0*f**3 + 0*f**2 - t*f. Factor n(q).
3*q**2/5
Let p = 15 - 10. Factor -p - 2*o**3 + 12*o - 2*o**3 - 3.
-4*(o - 1)**2*(o + 2)
Suppose 3*p + 6 = -3*d, 5*d - 2*d + 6 = 3*p. Let o(k) be the third derivative of 0*k**4 + p*k**5 + 0*k - 1/30*k**6 + 8*k**2 + 0*k**3 + 0. Factor o(b).
-4*b**3
Suppose 3*s + 6 - 3 = 0, 2*d - 4*s - 24 = 0. Factor 2*v**2 + 3*v - 6 + d*v**2 - 3*v**3 - 6*v**2.
-3*(v - 2)*(v - 1)*(v + 1)
Let b = -1553/35 + 312/7. Let g(o) be the first derivative of 0*o**2 + b*o**3 + 8 - 3/5*o. Factor g(m).
3*(m - 1)*(m + 1)/5
Let j(l) = l**4 - l**3 - l**2 - l. Let c(u) = -41*u**4 + 193*u**3 + 2017*u**2 + 3113*u - 792. Let b(s) = c(s) + 5*j(s). Let b(k) = 0. Calculate k.
-3, 2/9, 11
Let l(n) be the third derivative of 0*n**3 - 1/60*n**5 + 1/12*n**4 + 1/336*n**8 + 1/210*n**7 - 1/40*n**6 + 0 + n**2 + 0*n. Determine b, given that l(b) = 0.
-2, -1, 0, 1
Let -387*k + 35*k**3 + 367*k - 9*k**2 - 6*k**2 = 0. What is k?
-4/7, 0, 1
Suppose -141 = -306*q + 777. What is k in -2*k**2 - 24/5 - 28/5*k - 1/5*k**q = 0?
-6, -2
Find o such that 3*o - 167*o - 11*o**3 - 73*o + 39 + 54*o**2 + 51 + 32*o**3 = 0.
-5, 3/7, 2
Let o(h) be the second derivative of h**4/60 + 23*h**3/15 - 47*h**2/10 + 53*h - 5. Determine u, given that o(u) = 0.
-47, 1
Suppose 0 = 728*y - 395*y - 666. Factor 2/3*p - 1 + 1/3*p**y.
(p - 1)*(p + 3)/3
Suppose 4*z - 5*d = 0, d - 13 = -5*z + 16. Let k(i) be the first derivative of -i**3 - 1/2*i**4 + 3/2*i**2 + 2*i - z. Solve k(w) = 0.
-2, -1/2, 1
Let a(r) be the second derivative of 2*r**7/21 - 18*r**6/5 + 282*r**5/5 - 1414*r**4/3 + 2254*r**3 - 6174*r**2 - 2*r - 7. Factor a(f).
4*(f - 7)**3*(f - 3)**2
Let c = 2 - -24. Suppose -2*r - 5*g + c = r, -3*r = -4*g - 44. Suppose 6 + 2 + r*l**3 + 18*l**2 + 3*l**4 + 12*l - 5 = 0. Calculate l.
-1
Let l(v) be the third derivative of 0*v - 15*v**2 + 1/150*v**5 + 0 + 0*v**3 + 1/20*v**4. Factor l(w).
2*w*(w + 3)/5
Suppose -36/7*t**2 - 4/7*t**4 - 8/7 + 20/7*t**3 + 4*t = 0. Calculate t.
1, 2
Suppose 3*h + 6*y = y - 20, -h + 2*y = -8. Suppose 5*x = 4*g - 5 + 3, h = 5*x + 4*g - 22. Factor 2*z**3 + z + 2*z**x + 0*z**2 - 2*z**4 - 3*z.
-2*z*(z - 1)**2*(z + 1)
Suppose 10*d + 33 = 9*d - 2*g, -g = -3*d - 120. Let r be -4 + (-252)/d + -2. Factor 0*n**3 + 2/13*n**4 - r*n**2 + 0 - 4/13*n.
2*n*(n - 2)*(n + 1)**2/13
Find d, given that 2/7*d + 0 - 2/7*d**2 = 0.
0, 1
Let w(p) be the first derivative of 3*p**5/5 - 3*p**4/2 - 3*p**3 + 12*p**2 - 12*p + 683. Factor w(r).
3*(r - 2)*(r - 1)**2*(r + 2)
Let j(n) be the first derivative of -n**5/15 + n**4/4 + 55*n**3/9 + 47*n**2/2 + 30*n + 781. Solve j(p) = 0 for p.
-3, -1, 10
Let i be 76/36*9 - 15. Suppose 0*m + 1/4*m**i + 1/4*m**2 - 1/2*m**3 + 0 = 0. Calculate m.
0, 1
Let j(g) be the first derivative of 9*g**3 + 240*g**2 - 108*g - 322. Find z, given that j(z) = 0.
-18, 2/9
Suppose 3*i = -2*i. Let w = 103/5 + -101/5. Suppose 2*g**3 + i + 2/5*g**2 - w*g + 6/5*g**4 = 0. Calculate g.
-1, 0, 1/3
Let z(f) be the first derivative of -f**3/5 - 36*f**2/5 + 15*f - 146. Suppose z(r) = 0. What is r?
-25, 1
Solve -3*z**3 - 3*z**2 - 56*z + 55*z + 6*z**2 - 3*z**4 + 4*z**4 = 0.
0, 1
Let a(g) be the second derivative of -7*g**6/30 - 23*g**5/15 - 10*g**4/3 - 8*g**3/3 - 5*g**2 + 12*g. Let t(c) be the first derivative of a(c). Factor t(s).
-4*(s + 1)*(s + 2)*(7*s + 2)
Let f(x) be the second derivative of -x**5/30 + x**4/8 - 5*x**3/36 - 24*x. Let f(d) = 0. Calculate d.
0, 1, 5/4
Let u be 512 + -499 + 178/(-14). Factor -6/7*k - 4/7 - u*k**2.
-2*(k + 1)*(k + 2)/7
Suppose a = -0*a - 4*m, m - 21 = -2*a. Let -3*d**3 + 23*d**2 - 24*d - a - 20*d**2 - 18*d**2 = 0. What is d?
-2, -1
Let v(p) be the first derivative of -p**6/3 + 8*p**5/3 + 5*p**4/3 - 40*p**3/9 - 7*p**2/3 + 780. Solve v(r) = 0.
-1, -1/3, 0, 1, 7
Let o = 25329 + -25327. Determine f so that 2/7*f**o + 50/7 + 20/7*f = 0.
-5
Let x = 32 + -29. Factor -8*g - 2*g + 12 - 7 + 10*g**x - 5*g**4.
-5*(g - 1)**3*(g + 1)
Let l(j) be the third derivative of 0*j**3 - 1/21*j**7 + 0 + 0*j**5 - 2*j**2 + 0*j + 0*j**4 - 1/20*j**6. Factor l(h).
-2*h**3*(5*h + 3)
Let f(g) be the first derivative of -g**6/210 - g**5/21 - g**4/6 - 2*g**3/7 - 5*g**2/2 + 27. Let m(n) be the second derivative of f(n). Factor m(c).
-4*(c + 1)**2*(c + 3)/7
Let i(y) be the second derivative of 0 + 3*y**2 + 1/2*y**3 - 3/20*y**5 - 3/4*y**4 + 1/10*y**6 - 5*y. Find u, given that i(u) = 0.
-1, 1, 2
Let p(c) be the third derivative of c**9/15120 + c**8/5040 - c**7/1260 - c**6/180 - c**5/20 - 12*c**2. Let u(i) be the third derivative of p(i). Factor u(g).
4*(g - 1)*(g + 1)**2
Let k(o) be the first derivative of 11*o**4/6 + 40*o**3/9 - 37*o**2/3 + 4*o - 141. Determine f, given that k(f) = 0.
-3, 2/11, 1
Let s(i) be the first derivative of -4*i**2 - 70/9*i**3 - 2/15*i**5 + 2*i**4 - 47 + 24*i. Solve s(d) = 0 for d.
-1, 1, 6
Let c(a) be the first derivative of a**4/6 + 7*a**3/9 + a**2/2 - 100. Solve c(s) = 0 for s.
-3, -1/2, 0
Let t(q) = -q**3 - 9*q**2 - q - 9. Let k be t(-9). Let m(z) be the third derivative of 1/8*z**4 + 5*z**2 - 3/4*z**3 - 1/120*z**5 + 0*z + k. Factor m(s).
-(s - 3)**2/2
Let m(n) = 3*n**2 + n - 1. Let w(h) = -11*h**2 + 123*h + 131. Let t(g) = -3*m(g) - w(g). Factor t(l).
2*(l - 64)*(l + 1)
Let i(n) be the second derivative of -3*n**2 + 1/4*n**4 + 0 - 9*n - 1/2*n**3. Let i(u)