ative of -h**3/9 + h**2 - 5*h/3 - 276. Factor d(z).
-(z - 5)*(z - 1)/3
Let z(o) = -o**3 - 12*o**2 - 11*o - 13. Let s be z(-11). Let n = 13 + s. Factor 6/7*x + n - 3*x**3 + 15/7*x**2.
-3*x*(x - 1)*(7*x + 2)/7
Let t(u) be the third derivative of 39*u**5/160 - 197*u**4/64 + 5*u**3/8 - 151*u**2 - 2. Determine n, given that t(n) = 0.
2/39, 5
Let y = -23 - -8. Let b be (-28)/y - (-6)/(-9). Solve -3/5*x**5 - b*x**4 + 3/5*x + 0 + 6/5*x**2 + 0*x**3 = 0 for x.
-1, 0, 1
Let q(p) = 5*p - 5*p + p**2 + 7*p**3. Let u(t) be the third derivative of -t**6/120 - 4*t**2. Let x(k) = 4*q(k) + 12*u(k). What is y in x(y) = 0?
-1/4, 0
Let p(m) = -19*m**4 + 17*m**3 - 2*m**2 - 17*m - 7. Let d(f) = -13*f**4 + 11*f**3 - 2*f**2 - 11*f - 5. Let u(t) = 7*d(t) - 5*p(t). Factor u(s).
4*s*(s - 2)*(s - 1)*(s + 1)
Let t(r) be the second derivative of 0*r**2 + 3*r + 0 - 17/30*r**5 - 1/9*r**6 + 0*r**3 - 1/3*r**4. Factor t(i).
-2*i**2*(i + 3)*(5*i + 2)/3
Let m(y) be the third derivative of 1/900*y**6 + 0*y + 0 + 1/1575*y**7 + 14*y**2 + 0*y**3 + 0*y**4 - 1/75*y**5. Factor m(h).
2*h**2*(h - 2)*(h + 3)/15
Let k(m) = 22*m**2 + 404*m + 12118. Let i(h) = 10*h**2 + 204*h + 6058. Let f(a) = -9*i(a) + 4*k(a). Find n, given that f(n) = 0.
-55
Let s = 18049 + -126337/7. Factor -2*k - s - 4/7*k**2.
-2*(k + 3)*(2*k + 1)/7
Let a(c) be the first derivative of c**3/6 - 5*c**2/12 - 44. Factor a(h).
h*(3*h - 5)/6
Let k(d) be the first derivative of -128*d**5/25 + 8*d**4/5 + 24*d**3 - 189*d**2/5 + 108*d/5 + 58. Factor k(q).
-2*(q + 2)*(4*q - 3)**3/5
Let 5*u**2 - 24349*u + 24284*u + 4 + 106 = 0. What is u?
2, 11
Let m(q) = -2*q**2 - 9*q - 1. Let t(w) = -7*w**2 + 68*w - 4. Let v(g) = 4*m(g) - t(g). Find y, given that v(y) = 0.
-104, 0
Let l be 4/(((-6160)/(-570))/28). Determine n, given that -20/11 + 34/11*n + l*n**2 - 14/11*n**4 + 46/11*n**3 = 0.
-1, 2/7, 5
Let p(d) be the first derivative of d**4/18 - 20*d**3/27 + 23*d**2/9 - 28*d/9 - 55. What is n in p(n) = 0?
1, 2, 7
Let p(f) be the second derivative of f**4/60 + f**3/30 - 121*f. Factor p(q).
q*(q + 1)/5
Let v(i) = -5*i**3 + 8*i**2 + 9*i - 2. Let d(o) = -6*o**3 + 9*o**2 + 9*o - 3. Let p(h) = -2*d(h) + 3*v(h). Factor p(c).
-3*c*(c - 3)*(c + 1)
Let l be 2 - (2 + 111 - -4). Let z = l + 117. What is f in -2/17*f**4 - 26/17*f**z - 8/17 - 24/17*f - 12/17*f**3 = 0?
-2, -1
Let a(i) be the third derivative of -i**6/30 + 11*i**5/3 - 107*i**4/6 + 106*i**3/3 - 93*i**2. Find b, given that a(b) = 0.
1, 53
Let y be (2 - 9)/1 + -13 + (-779)/(-38). Factor -y*i + 1/6*i**2 + 1/3.
(i - 2)*(i - 1)/6
Let a(t) be the first derivative of -t**5/15 + t**3/9 - 29. Factor a(c).
-c**2*(c - 1)*(c + 1)/3
Suppose 9 = 3*m - 21. Factor 8*x**4 - 15*x + 5*x + m*x - 4*x**5 - 4*x**3.
-4*x**3*(x - 1)**2
Suppose 3*f + 13 - 37 = 0. Suppose z = 4*m, m - f - 9 = -4*z. Solve -3/7*b**5 + 3/7*b + 6/7*b**2 - 6/7*b**z + 0 + 0*b**3 = 0 for b.
-1, 0, 1
Let r(g) be the first derivative of 0*g**4 + 3 + 0*g + 1/10*g**3 - 1/100*g**5 - g**2. Let q(c) be the second derivative of r(c). Factor q(w).
-3*(w - 1)*(w + 1)/5
Let h = 21/4 + -5. Suppose -2*z + 8*z + 8*z = 0. Let -1/2*s**2 - h*s**3 - 1/4*s + z = 0. What is s?
-1, 0
Factor -5*n**3 + 3*n**2 + 17 - 22 - 18*n**2 - 15*n.
-5*(n + 1)**3
Let j(z) = 4*z**2 + 2*z + 1. Let n(v) = 17*v**2 + 7*v + 3. Let u(a) = -26*j(a) + 6*n(a). Determine r so that u(r) = 0.
-4, -1
Suppose 3*d = -2*d + 10. Suppose -12*s = 13 - 49. Factor -n**4 - 12*n**3 + 2*n**2 - d + n + n**2 + 11*n**s.
-(n - 1)**2*(n + 1)*(n + 2)
Let w(i) = 4*i + 11. Let u be w(0). Suppose u + 5 = 4*h. Factor 0*l**2 + 0 - 2/5*l**5 - 2/5*l + 4/5*l**3 + 0*l**h.
-2*l*(l - 1)**2*(l + 1)**2/5
Let v(g) be the second derivative of -g**8/26880 - g**7/6720 + g**6/2880 - 2*g**4 + g. Let x(i) be the third derivative of v(i). Let x(j) = 0. Calculate j.
-2, 0, 1/2
Factor 0*q**2 - 1/2*q**4 + 8 - 2*q**3 + 8*q.
-(q - 2)*(q + 2)**3/2
Let v be -3*(2 + 11)/(-78). Let o(n) be the first derivative of 8 + 2/3*n**3 - n**2 - 2/5*n**5 + 0*n + v*n**4. Factor o(x).
-2*x*(x - 1)**2*(x + 1)
Suppose 5*y = 5*b - 25, -2*y - 2 - 11 = -5*b. Let x be 5 + -5 - b/(2/(-6)). Determine d so that -1/3*d**4 + 0 - 2/3*d + 2/3*d**x + 1/3*d**2 = 0.
-1, 0, 1, 2
Let m = 3368 - 26941/8. Let m + 9/8*r**2 - 3/2*r = 0. Calculate r.
1/3, 1
Factor -14/11*f**3 - 534/11*f**2 - 5130/11*f - 722/11.
-2*(f + 19)**2*(7*f + 1)/11
Let d(q) = 3*q**2 + 13*q + 19. Let w be d(-10). Let j = 2081/11 - w. Let -j*k**2 - 8/11*k - 6/11 = 0. What is k?
-3, -1
Let f(h) = -h**2 + h + 2. Let d(p) = 2*p**4 - 6*p**3 + 20*p - 24. Let s(u) = d(u) + 4*f(u). Solve s(i) = 0.
-2, 1, 2
Let k = -5671 + 5673. Determine w so that 0*w - 1/6*w**k + 0 = 0.
0
Let w(b) be the first derivative of -b**4/8 + 7*b**3/4 - 29*b + 19. Let f(a) be the first derivative of w(a). Solve f(v) = 0 for v.
0, 7
Let d(o) be the third derivative of o**5/3 - 155*o**4/24 - 20*o**3/3 + 3*o**2 - 10*o. Factor d(x).
5*(x - 8)*(4*x + 1)
Suppose -2*q = 1 - 5. Suppose -9*o - 19*o**4 - 14*o**2 - 9*o**3 - o**q + 18*o**4 + 2*o**3 = 0. Calculate o.
-3, -1, 0
Let s(u) be the second derivative of -5*u**7/42 - u**6/3 + 3*u**5/4 + 5*u**4/3 - 10*u**3/3 + 2*u - 4. Find d such that s(d) = 0.
-2, 0, 1
Let o(u) be the third derivative of -u**8/448 - 17*u**7/40 - 87*u**6/4 + 45*u**5 - 227*u**2. Factor o(r).
-3*r**2*(r - 1)*(r + 60)**2/4
Suppose 0 = 4*u + l - 1, -3 = -6*u + 11*u - 3*l. Let 2/13*t + u + 4/13*t**2 + 2/13*t**3 = 0. Calculate t.
-1, 0
Let r be -5*(-7 + 5) + 44 + -52. Solve 4/3*u**2 - 2/3*u**3 + 0 + r*u = 0 for u.
-1, 0, 3
Suppose 6*y - 7 - 17 = 0. Let n(g) be the third derivative of 0*g - 1/35*g**7 + 1/6*g**6 - 1/3*g**3 - 5*g**2 + 0 - 2/5*g**5 + 1/2*g**y. Solve n(s) = 0 for s.
1/3, 1
Let s(j) = j**4 + 104*j**3 + 375*j**2 + 96*j - 590. Let a(o) = -o**4 - 52*o**3 - 187*o**2 - 48*o + 294. Let t(u) = -7*a(u) - 3*s(u). Factor t(c).
4*(c - 1)*(c + 2)*(c + 6)**2
Let t(s) be the third derivative of 0*s + 5*s**2 + 1/4032*s**8 + 0 + 0*s**5 + 1/2520*s**7 + 0*s**3 + 0*s**6 + 0*s**4. Determine q so that t(q) = 0.
-1, 0
Factor 0 - 39*y - 3*y**2 + 0*y**2 + 27*y**2 - 18.
3*(y - 2)*(8*y + 3)
Factor 3*c**5 - 4*c**5 - 16*c**3 - 7*c**4 + 6*c**5 - 6*c**5 - 12*c**2.
-c**2*(c + 2)**2*(c + 3)
Let l(a) be the second derivative of -a**6/900 + 2*a**5/75 - 4*a**4/15 + 2*a**3/3 - 2*a. Let y(q) be the second derivative of l(q). Factor y(x).
-2*(x - 4)**2/5
Let w(p) be the first derivative of p**6/15 - 138*p**5/25 + 129*p**4 - 6932*p**3/15 + 3333*p**2/5 - 2178*p/5 + 104. Factor w(s).
2*(s - 33)**2*(s - 1)**3/5
Suppose -4*t = -2*n - 14, t + 3*n - 11 = 6*n. Suppose 9*d - 29 = -t. Factor -1/3*y**d + 0*y**2 + 1/3*y + 0.
-y*(y - 1)*(y + 1)/3
Let x(t) be the third derivative of 1/420*t**7 + 0 + 1/60*t**5 + 0*t - 11*t**2 - 1/80*t**6 + 0*t**3 + 0*t**4. Factor x(w).
w**2*(w - 2)*(w - 1)/2
Suppose 114/7*a - 54/7*a**2 - 58/7 - 2/7*a**3 = 0. What is a?
-29, 1
Let c(w) be the second derivative of -3*w**5/140 + 3*w**4/14 - 9*w**3/14 + 6*w**2/7 + 111*w. Factor c(t).
-3*(t - 4)*(t - 1)**2/7
Let c(l) be the second derivative of 9*l + 0 + 8*l**2 + 1/48*l**4 - 2/3*l**3. Find g such that c(g) = 0.
8
Let o(x) be the first derivative of x**4 - 3*x**3 - 9*x**2/2 - 18. Factor o(g).
g*(g - 3)*(4*g + 3)
Let p(b) be the third derivative of -1/80*b**5 + 0*b + 0 - 1/280*b**7 + 0*b**4 + 0*b**3 + 22*b**2 + 1/80*b**6. Factor p(q).
-3*q**2*(q - 1)**2/4
Let u(w) be the third derivative of -w**6/320 - w**5/8 - 3*w**4/4 + 36*w**3 + 2*w**2 + 236*w. Factor u(z).
-3*(z - 4)*(z + 12)**2/8
Let k(u) = u**3 - 5*u**2 + 88*u - 435. Let c be k(5). Find x, given that 16/3*x - 2/3*x**c - 14/3*x**3 + 10/3*x**4 - 2/3*x**2 - 8/3 = 0.
-1, 1, 2
Suppose -26/3*b**2 + 2/3*b**4 - 8 - 2/3*b**3 + 50/3*b = 0. Calculate b.
-4, 1, 3
Let w be (-1620)/486 - (-232)/66. Factor -1/11*x**2 + w - 1/11*x.
-(x - 1)*(x + 2)/11
Let q(p) be the first derivative of 15*p**2 - 5/3*p**3 - 25*p - 12. Let q(t) = 0. What is t?
1, 5
Let n(y) be the second derivative of 0 - 1/6*y**4 + 2/3*y**3 + 23*y - 1/10*y**5 + 0*y**2. Factor n(h).
-2*h*(h - 1)*(h + 2)
Let i(a) be the third derivative of a**8/1680 - a**7/315 + a**6/180 + a**4/8 - 12*a**2. Let j(l) be the second derivative of i(l). Factor j(m).
4*m*(m - 1)**2
Suppose 0 = -3*g - 0*g - 402. Let u = 134 + g. Find k, given that 0*k + 3/2*k**5 - 3/2*k**2 + 3/2*k**4 - 3/2*k**3 + u = 0.
-1