rst derivative of 2*f**6/3 - 5*f**5 - 27*f**4/2 - 17*f**3/3 + 4*f**2 + 18. Factor u(z).
z*(z - 8)*(z + 1)**2*(4*z - 1)
Suppose 42*k + 81 - 249 = 0. Suppose 1/6*p**k - 5*p**3 + 0 + 1/3*p - 1/6*p**2 + 14/3*p**5 = 0. Calculate p.
-1, -2/7, 0, 1/4, 1
Let w = 2/3107 + 15531/6214. Factor -w*o + 9/2*o**2 + 1/2 - 7/2*o**3 + o**4.
(o - 1)**3*(2*o - 1)/2
Let w(l) = l**4 + 3*l**3 + 10*l**2 + l. Let y(n) = -2*n**2 - n. Let o(f) = 2*w(f) + 10*y(f). Factor o(k).
2*k*(k - 1)*(k + 2)**2
Let k(r) be the first derivative of 1/9*r**3 + 0*r**2 + 0*r + 8 + 1/12*r**4. What is l in k(l) = 0?
-1, 0
Suppose -5*s - 6 = -3*c, -s = 14*c - 16*c + 4. Let d(z) be the first derivative of 0*z**3 + s*z - 10 + 1/4*z**4 - 1/2*z**2. Let d(w) = 0. Calculate w.
-1, 0, 1
Suppose m = -3*m - 3*j + 30, -3*m + j + 16 = 0. Suppose 5*w - 4 - m = 0. Factor o**5 - 2*o + 3*o**2 + 2*o**w - 3*o**4 - 2*o**2 + o**3.
o*(o - 2)*(o - 1)**2*(o + 1)
Let b(n) be the first derivative of -n**7/210 + n**6/45 - n**5/30 - n**3/3 - 7. Let d(i) be the third derivative of b(i). What is z in d(z) = 0?
0, 1
Let o(i) be the first derivative of i**3/15 + 3*i**2/5 + 9*i/5 - 19. Factor o(k).
(k + 3)**2/5
Let w(y) = -y**2 - 16*y + 17. Let u(f) = -f + 1. Let d(n) = 4*u(n) - w(n). Let b(h) = 12*h - 12. Let g(a) = -3*b(a) + 2*d(a). Determine s, given that g(s) = 0.
1, 5
Suppose -4*w - 789*g = -787*g - 4, -5*g - 18 = 3*w. Factor -1/3*k**3 + 0 + 1/3*k**2 + 0*k - 1/3*k**w + 1/3*k**5.
k**2*(k - 1)**2*(k + 1)/3
Let j(f) = f**2 - f + 1. Let n(o) = o**3 - 9*o**2 + 2*o - 1. Let u(x) = 28*j(x) + 4*n(x). Determine k, given that u(k) = 0.
-2, 1, 3
Let v(h) be the first derivative of h**6/14 + 3*h**5/7 + 15*h**4/14 + 10*h**3/7 + 15*h**2/14 + 3*h/7 + 240. Factor v(n).
3*(n + 1)**5/7
Let m = -1732 + 1736. Suppose -2/5 + 0*j**3 + 0*j - 2/5*j**m + 4/5*j**2 = 0. What is j?
-1, 1
Factor -2/5*b**2 + 0 - 32/5*b.
-2*b*(b + 16)/5
Find h, given that -19*h**2 + 0*h**3 + 6225*h - 6201*h - 6*h**3 + h**4 = 0.
-3, 0, 1, 8
Suppose 0 + 0*r - 1/2*r**2 - 2*r**3 = 0. Calculate r.
-1/4, 0
Suppose -3*y + 10 = 3*l + 28, 6 = l + 5*y. Let t(d) = d**2 + 7*d - 15. Let x be t(l). Factor 2/5*s**x + 0*s + 2/5*s**2 + 0.
2*s**2*(s + 1)/5
Let l(w) be the third derivative of -w**6/660 - w**5/30 + 15*w**4/44 + 189*w**3/11 - w**2 + 15. Determine j so that l(j) = 0.
-9, 7
Let f(n) be the third derivative of 0*n + 12*n**2 - 5/2*n**3 - 1/24*n**6 + 0 - 1/12*n**5 + 25/24*n**4. What is a in f(a) = 0?
-3, 1
Let i = 690 - 686. Let m(y) be the third derivative of 0*y**3 - 5*y**2 + 0 + 2/105*y**7 + 4/15*y**5 + 0*y + 2/15*y**6 + 0*y**i. Suppose m(p) = 0. What is p?
-2, 0
Let i(f) be the third derivative of -f**5/90 - 95*f**4/18 - 9025*f**3/9 + 200*f**2. Factor i(p).
-2*(p + 95)**2/3
Let w(j) be the third derivative of 0*j + 11/210*j**5 + 1/140*j**6 + 33*j**2 + 0 + 1/14*j**4 + 0*j**3. Suppose w(a) = 0. What is a?
-3, -2/3, 0
Suppose -4*p = -3*d - 44, -d + 3*p + 9 = -4*d. Let k = 33/4 + d. Solve -k*a**2 - 3/2*a**3 + 0*a - a**5 + 0 - 9/4*a**4 = 0 for a.
-1, -1/4, 0
Factor 5*v**2 + 15*v + 25/3 - 5/3*v**3.
-5*(v - 5)*(v + 1)**2/3
Let n(o) be the first derivative of -2/33*o**3 + 4 + 3/11*o**2 + 0*o + 2/55*o**5 - 3/22*o**4. What is v in n(v) = 0?
-1, 0, 1, 3
Determine q, given that 300 - 536/3*q**2 + 6*q**3 + 1310*q = 0.
-2/9, 15
Let r(z) = -2*z**2 + 113*z + 977. Let b(s) = 3*s**2 + 1 - 4*s**2 + 15*s - 14*s. Let u(l) = -5*b(l) + r(l). Suppose u(m) = 0. Calculate m.
-18
Let c(v) be the third derivative of 0*v + 1/315*v**7 - 1/45*v**5 + 22*v**2 + 0*v**3 - 1/180*v**6 + 0 + 0*v**4. Factor c(k).
2*k**2*(k - 2)*(k + 1)/3
Let n(i) be the first derivative of -i**4/18 + 4*i**2/3 + i - 12. Let p(c) be the first derivative of n(c). Factor p(j).
-2*(j - 2)*(j + 2)/3
Let x(q) = -q. Let t be x(-10). Let g be (-1)/t*4*-10. Determine h so that -14*h**g - h**5 + 18*h - 4 - 32*h**2 + 28*h**3 + 2*h**4 + 3*h**5 = 0.
1, 2
Let g(s) = 396*s + 4754. Let c be g(-12). Let -7/4*k**5 - 2 + 10*k**4 + 29/2*k**c - k - 79/4*k**3 = 0. What is k?
-2/7, 1, 2
Let g(m) be the first derivative of 2*m**3/9 - 4*m**2 + 53. Factor g(t).
2*t*(t - 12)/3
Factor -97*f + 2*f**3 + 40*f**2 - 4*f**3 - 62*f**2 + 7*f**3 + 42.
(f - 7)*(f + 3)*(5*f - 2)
Suppose 42*q = 48*q - 36. Let g(b) be the second derivative of 0*b**4 + 0 - 1/30*b**5 + 1/9*b**3 - 5*b + 1/6*b**2 - 1/90*b**q. Factor g(m).
-(m - 1)*(m + 1)**3/3
Let x(a) be the first derivative of 14 - 4/13*a - 1/26*a**4 + 1/13*a**2 + 4/39*a**3. Solve x(r) = 0 for r.
-1, 1, 2
Let f be -28*(8780/420 - 21). Factor f - 20/3*z - 12*z**3 - 64/3*z**2.
-4*(z + 1)**2*(9*z - 2)/3
Let f = -3248 - -48722/15. Let -18/5*o + 0 + f*o**4 + 18/5*o**2 - 6/5*o**3 = 0. What is o?
0, 3
Let g = -27 + 32. Determine v, given that 2*v**g + 0*v**2 + 7*v**2 + 2*v**5 - 4*v**4 + 4*v - 4 + v**2 - 8*v**3 = 0.
-1, 1
Suppose 0 = w + 2*y - 8, 2*w + 2*w - y - 50 = 0. Suppose 5*a = -w + 22. Factor 5*l + 25/4*l**a + 1.
(5*l + 2)**2/4
Find w such that 0*w - 1/12*w**3 + 1/3*w**2 - 1/3*w**4 + 1/12*w**5 + 0 = 0.
-1, 0, 1, 4
Suppose 3*s + 357 = -3*d, 340 - 106 = -2*d + 2*s. Let a = d + 118. Suppose 1/3*n**2 + a + 1/6*n = 0. What is n?
-1/2, 0
Let m be 4/(-3)*177/(-118). Solve 2*h - 8/3 + 2/3*h**m = 0.
-4, 1
Let k(x) = -x**2 - 106*x - 2686. Let v be k(-64). Factor -26/3*o + 10/3*o**v - 4.
2*(o - 3)*(5*o + 2)/3
Suppose 5*l - 24 = -14. Factor -3*g**2 + g + g**l + g.
-2*g*(g - 1)
Let q = 21 + -19. Factor -29*r**q + 80*r**2 - 25*r**2 - 4*r**3 + r**4 - 31*r**2.
r**2*(r - 5)*(r + 1)
Suppose -7 - 59 = -3*d. Let z be -3 + 0 - (-165)/d. Factor -3/2*j**5 - 9/2*j**3 - z*j**4 - 3/2*j**2 + 0*j + 0.
-3*j**2*(j + 1)**3/2
Let m(o) be the second derivative of -o**8/20160 + o**7/7560 - 4*o**4/3 - 8*o. Let f(u) be the third derivative of m(u). Factor f(a).
-a**2*(a - 1)/3
Suppose -3*a + 5*x = -13, 23 = a - 3*a - 3*x. Let l be (a/(-30))/((-69)/(-115)). Solve l*s - 2/9*s**3 + 4/9 - 4/9*s**2 = 0 for s.
-2, -1, 1
Let s be 19/(-57) + (-48)/(-9). Let x(j) be the second derivative of 0 + 52/9*j**3 + 21/10*j**s - 8/3*j**2 - 4*j - 17/3*j**4. Factor x(o).
2*(3*o - 2)**2*(7*o - 2)/3
Suppose 0 = 33*q + 55*q - 176. Let -4/3*b**q + 0 + 8*b = 0. Calculate b.
0, 6
Let s(b) be the second derivative of -1/40*b**5 + 0 + 32*b + 0*b**2 + 7/12*b**3 - 1/4*b**4. Let s(r) = 0. Calculate r.
-7, 0, 1
Let r(t) = t**4 - 3*t**3 + t**2 - t. Let u(z) = -3*z**4 + 27*z**3 + 35*z**2 + 41*z + 12. Let g(s) = 12*r(s) + 3*u(s). Factor g(n).
3*(n + 1)**3*(n + 12)
Let b(k) be the first derivative of 2*k**3/21 - 8*k/7 - 86. Factor b(l).
2*(l - 2)*(l + 2)/7
Determine u, given that -188/3*u**2 - 6*u**4 + 184*u + 272/3 - 206*u**3 = 0.
-34, -2/3, 1
Let a(w) be the third derivative of w**7/210 + w**6/12 + 11*w**5/20 + 5*w**4/3 + 8*w**3/3 + 8*w**2 - 4*w. Find t, given that a(t) = 0.
-4, -1
Solve -15*o**5 - 305*o**3 - 141*o**2 - 33*o**4 - 23127*o - 77*o**4 - 249*o**2 + 22907*o - 40 = 0 for o.
-2, -1, -1/3
Let i(y) = 12*y**2 - y - 16. Let w be i(-7). Factor -2*x**4 + 2*x**4 + 78*x**3 + x**4 + 936*x + w*x**2 + 2*x**4 + 432.
3*(x + 1)**2*(x + 12)**2
Let p = 19 + -10. Suppose 0 = 3*n - 5*s + 9, -3*s + 9 = 0. Factor -1 + 15*f**n - 7 + 2 + p*f.
3*(f + 1)*(5*f - 2)
Suppose 4*c + 4*f = 36, 6*c - 4*f = c. Suppose 3*d = c*y + 25, d - 3*y - 6 = 9. Solve 8/3*h**2 + 8*h**4 - 22/3*h**d + 0 - 3*h**5 - 1/3*h = 0 for h.
0, 1/3, 1
Let i(l) = -l**2 - 3*l + 2. Let d be i(1). Let g be (-2)/d + (2 - 1). Solve 1 + 7*c**2 - 5 - 6*c**2 + g - c = 0.
-1, 2
Let l(j) be the second derivative of -5*j + 0 + 3/140*j**5 + 4/7*j**3 - 5/28*j**4 - 6/7*j**2. Determine v so that l(v) = 0.
1, 2
Suppose 4*k - 21 = 26*v - 29*v, 4*v + 4*k - 24 = 0. What is a in 2/3*a + 10/3 - 4/3*a**4 - 26/3*a**v - 10*a**2 = 0?
-5, -1, 1/2
Suppose 3*k - 8*m + 10*m - 22 = 0, -5*k = -5*m + 5. Let i(w) be the first derivative of -1/2*w**2 - 1/6*w**3 + 1/8*w**k - 3 + 0*w. Suppose i(o) = 0. What is o?
-1, 0, 2
Let x = 4/183 - -19/61. Let 0 + 0*a**3 + x*a**4 + 0*a + 0*a**2 = 0. Calculate a.
0
Let -4/5*c - 12/5 + 7/5*c**2 - 1/5*c**3 = 0. Calculate c.
-1, 2, 6
Let o = -273 - -395. Suppose 8*d - 122 + o + 4*d**2 = 0. What is d?
-2, 0
Suppose 0 = 2*t + 3*t - 3*i - 428, 5*t = 2*i + 427. Find j, given that -6*j - t + 6*j**2 + 61 - 3*j**2 = 0.
-2, 4
Let g(d) = 2*d**3 - 100*d**2 - 6*d + 108. Let v(c) = 4*c**3 - 201*c**2 - 13*c + 219. Let t(w) = 9*g(w) - 4*v(w). L