) = 0.
60
Let t(w) be the third derivative of -w**6/360 + w**5/36 - w**4/36 - 4*w**3/9 + w**2 - 39. Factor t(g).
-(g - 4)*(g - 2)*(g + 1)/3
Let n(v) = 93*v**2 - 16*v - 8. Let g be n(-7). Factor 6*y**2 + 0 - 18*y**4 - g*y + 4634*y + 24*y**3 + 12 + 3*y**5.
3*(y - 4)*(y - 1)**3*(y + 1)
Let w(l) be the first derivative of 3*l**2/2 - 4. Let x be w(1). Determine j so that j - j**2 - x*j - j - 2 = 0.
-2, -1
Let l(p) = -5*p**2 - 105*p + 233. Let c be l(-23). Factor -2/3*w**2 + 2*w + 2/3*w**4 + 0 - 2*w**c.
2*w*(w - 3)*(w - 1)*(w + 1)/3
Determine j so that 50*j**3 + 839*j + 830*j + 54*j**4 - 2454*j + 817*j - 144*j**2 + 8*j**5 = 0.
-4, 0, 1/4, 1
Let x(j) be the first derivative of 0*j**2 + 4 - 1/20*j**5 + 0*j**4 + 1/6*j**3 - 1/4*j. Factor x(h).
-(h - 1)**2*(h + 1)**2/4
Let x(t) = t**3 + 21*t**2 + 25*t + 29. Let v be x(-20). Let i = -71 - v. Find y, given that -12/5*y**3 - 6/5*y - 3*y**2 - 3/5*y**4 + i = 0.
-2, -1, 0
Let y(u) be the second derivative of 0*u**3 - 1/12*u**4 - 8*u + 1/2*u**2 + 0. Factor y(m).
-(m - 1)*(m + 1)
Let y be (-2 + (-6)/3)*(-2)/18*9. Let g be 9/15*4/6. Factor -1/5*u**5 + g*u**2 - 1/5 - 1/5*u**y - 1/5*u + 2/5*u**3.
-(u - 1)**2*(u + 1)**3/5
Let j = 2581 + -7742/3. Factor 2/3*a + j*a**2 - 1/3*a**3 + 0.
-a*(a - 2)*(a + 1)/3
Let z(g) be the first derivative of -15*g**2 - 22 - 45*g - 5/3*g**3. Determine q, given that z(q) = 0.
-3
Suppose -2*p + 0*p - 2 = 0. Let r be p - ((-1)/(-1) - 6). Determine y, given that -23*y**2 + 3*y + 5*y + 3*y**r - 2*y + 14*y**2 = 0.
-2, 0, 1
Let s(b) be the first derivative of -b**4/18 + 2*b**3/27 + 89. Solve s(h) = 0.
0, 1
Let o = -1498 - -1498. Let y(d) be the first derivative of 0*d + o*d**2 - 9/8*d**4 - 3/10*d**5 + 7 - d**3. Factor y(s).
-3*s**2*(s + 1)*(s + 2)/2
Let u = 573 - 570. Let r(b) be the third derivative of -1/60*b**4 - 1/300*b**6 + 0 + 0*b**u + 0*b - 1/75*b**5 - 5*b**2. Factor r(k).
-2*k*(k + 1)**2/5
Factor -1/2*n**3 + 39/2*n + 19*n**2 + 0.
-n*(n - 39)*(n + 1)/2
Let o(q) be the first derivative of q**5/40 - q**4/8 + 11*q**2/2 + 3. Let u(i) be the second derivative of o(i). Find n, given that u(n) = 0.
0, 2
Suppose -4/9*b**3 - 12*b**2 - 128/3*b - 368/9 = 0. Calculate b.
-23, -2
Suppose -100 - 2*m**2 - 56*m + 405 - 697 = 0. Calculate m.
-14
Let b(s) = 6*s**4 + 55*s**3 - 46*s**2 - 241*s + 233. Let a(q) = q**4 + q**3 + q**2 - q + 3. Let g(z) = 22*a(z) - 2*b(z). Factor g(t).
2*(t - 5)**2*(t + 2)*(5*t - 4)
Suppose -6*m = -10*m - 8. Let n be -3 - ((-1 - m) + -7). Factor 0 + 0*f + f**2 + 1/3*f**n.
f**2*(f + 3)/3
Find k such that -4 - 2/3*k**2 + 14/3*k = 0.
1, 6
Let h be 96/14 + (-7)/(-49). Factor 0*u + u**2 + 14*u**2 + h*u + 2*u.
3*u*(5*u + 3)
Let y(t) = -t**3 + t**2 + t - 1. Let d(k) = -2*k**4 - 15*k**3 + k**2 + 15*k + 1. Let i(v) = 2*d(v) - 14*y(v). Factor i(p).
-4*(p - 1)*(p + 1)*(p + 2)**2
Suppose -119*c = -101*c - 36. Find d, given that -2 - 2/9*d**c + 4/3*d = 0.
3
Let x(d) be the second derivative of -d**6/72 - d**5/8 - 5*d**4/12 - 17*d**3/6 - 10*d. Let w(f) be the second derivative of x(f). Find q such that w(q) = 0.
-2, -1
Let h(t) = t - 1. Let l be h(5). Let x be (2 + -1)*4 - l. Factor 4/5*i**4 - 1/5*i + x - 1/5*i**5 - 6/5*i**3 + 4/5*i**2.
-i*(i - 1)**4/5
Suppose 0 = -5*y + y + 32. Suppose -5*j = -j - y. Let 2*x**2 - x - x**3 + 2*x - 4*x**2 - j*x = 0. What is x?
-1, 0
Let n be (7 - 74/10) + (-4)/(-10). Let s(c) be the second derivative of -1/80*c**5 - 1/16*c**4 + 8*c + 0 + 0*c**2 + n*c**3. Solve s(j) = 0 for j.
-3, 0
Let c(o) be the first derivative of 3*o**5/40 - 3*o**4/32 - 3*o**3/2 - 3*o**2/4 + 6*o + 68. Factor c(v).
3*(v - 4)*(v - 1)*(v + 2)**2/8
Let l(s) be the first derivative of -4*s**4 - 20*s**3/3 - 2*s**2 - 116. What is a in l(a) = 0?
-1, -1/4, 0
Factor -24/11*f - 126/11 + 6/11*f**2.
6*(f - 7)*(f + 3)/11
Suppose -5*m + 7 = t, 2*m + 2*m = 2*t. Let s = -6 + 8. Suppose 2*y + 2*y**t + 7*y**s - 4*y**2 - 3*y**2 = 0. Calculate y.
-1, 0
Let v(s) = -s**3 - s**2 + s. Let o(h) be the second derivative of h**5/10 + h**4 - 2*h**3/3 - 4*h. Let l(z) = -o(z) - 4*v(z). Factor l(r).
2*r**2*(r - 4)
Factor 1 - 1741*x**2 - 2*x**3 - 1 + 1701*x**2.
-2*x**2*(x + 20)
Let z = -11 + 13. Suppose 6 - 1 - 3 - 2*b**z = 0. Calculate b.
-1, 1
Let v(m) be the second derivative of 2*m**6/3 + 28*m**5/5 + 28*m**4/3 - 32*m**3/3 + 499*m. Factor v(u).
4*u*(u + 2)*(u + 4)*(5*u - 2)
Factor 0 - 10/3*g + 1/3*g**3 + g**2.
g*(g - 2)*(g + 5)/3
Determine q so that -2*q**5 + 6/5*q**3 + 4/5*q - 14/5*q**4 + 0 + 14/5*q**2 = 0.
-1, -2/5, 0, 1
Let f = 28371/10 + -2837. Find n such that 0*n + 0 - 2/5*n**3 - 3/10*n**2 - f*n**4 = 0.
-3, -1, 0
Let s(a) = -a**4 - a**3 + a**2 + a + 1. Let t(x) = -3*x**4 + 6*x**3 + 18*x**2 + 6*x + 6. Let u(d) = -6*s(d) + t(d). What is c in u(c) = 0?
-2, 0
Let b = 0 + -10. Let k be (12/(-30))/(2/b). Find d such that 1 + d**3 - 4*d**2 + 3 + 0*d**k + d**3 - 2*d = 0.
-1, 1, 2
Let j = -252 + 254. Determine g, given that -5/9*g**3 + 13/9*g**j - 4/9 - 4/9*g = 0.
-2/5, 1, 2
Let d(x) = x**5 - 2*x**4 - x**2 - x - 1. Let c(w) = -6*w**5 + 16*w**4 + 24*w**3 - 38*w**2 - 82*w - 34. Let g(p) = -c(p) - 2*d(p). Determine v so that g(v) = 0.
-1, 3
Let g be ((-156)/(-3120))/(34/16 - 2). Factor 40 - 48*j + 42/5*j**2 - g*j**3.
-2*(j - 10)**2*(j - 1)/5
Let a(r) be the first derivative of r**4/22 + 2*r**3/3 + 36*r**2/11 + 72*r/11 - 231. Factor a(c).
2*(c + 2)*(c + 3)*(c + 6)/11
Let i = -18300 - -128106/7. Factor -18/7 - 12/7*x + i*x**2.
6*(x - 3)*(x + 1)/7
Suppose 108 = 4*t + 2*t. Let i(x) = 4*x - 2. Let j be i(5). Factor 55 + j*o - 81*o**2 + t*o - 59.
-(9*o - 2)**2
Let a(w) be the third derivative of 5*w**9/3024 - w**7/168 + w**3/3 - 8*w**2. Let i(f) be the first derivative of a(f). Find p, given that i(p) = 0.
-1, 0, 1
Let c = -593 - -593. Let k(d) be the second derivative of -3*d - 5/66*d**4 + 7/33*d**3 - 3/11*d**2 + 1/110*d**5 + c. Determine h, given that k(h) = 0.
1, 3
Let p(u) be the second derivative of -u**4/6 - 20*u**3/3 - 100*u**2 + 159*u. Factor p(g).
-2*(g + 10)**2
Let g be 1/(-8) + 775/620. Find t such that -g - 15/8*t + 3/8*t**3 - 3/8*t**2 = 0.
-1, 3
Suppose 4*t - 7*t = -84. Let v(b) = -b**5 + b**4 - b**2 + b. Let l(c) = -16*c**5 + 10*c**4 - 2*c**3 - 14*c**2 + 14*c. Let f(u) = t*v(u) - 2*l(u). Factor f(p).
4*p**3*(p + 1)**2
Suppose 1318*l = 1311*l + 28. Let 0*m**2 + 0 + 4/15*m**3 + 2/15*m**l + 0*m = 0. Calculate m.
-2, 0
Let s(c) be the first derivative of c**4/2 - 2*c**3/3 - 5*c**2 - 6*c + 660. Factor s(x).
2*(x - 3)*(x + 1)**2
Determine n, given that 242/7*n**2 + 132/7*n + 18/7 = 0.
-3/11
Suppose -3*m - 146 = -1730. Suppose 530*t - m*t = 4. Suppose -2/3 + t*a + 7/6*a**2 = 0. What is a?
-2, 2/7
Let p = 157/1185 + 1/1185. Factor -p*o**3 + 0 + 0*o**2 + 0*o.
-2*o**3/15
Let n(o) be the third derivative of -o**8/112 + o**6/8 - o**4/2 - 308*o**2 - 3*o. What is y in n(y) = 0?
-2, -1, 0, 1, 2
Let f(o) be the first derivative of 3*o**4/2 + 7*o**3/3 - 3*o + 3. Let c(n) = n**3 - n**2 - n - 1. Let h(k) = -5*c(k) + 5*f(k). Find a, given that h(a) = 0.
-1, 2/5
Let 8/3*t**3 + 2*t**2 + 25/3 + 1/3*t**4 - 40/3*t = 0. Calculate t.
-5, 1
Let t = 8552 - 8550. Let w = -4 + 7. Factor 1/2*l**t + w*l + 9/2.
(l + 3)**2/2
Let h(w) be the third derivative of 121*w**8/112 + 341*w**7/35 + 829*w**6/40 + 28*w**5/5 - 35*w**4/2 + 8*w**3 + 11*w**2 + 12. Suppose h(s) = 0. What is s?
-4, -1, 2/11
Let s = -407 - -1631/4. Solve 0*p**2 + 0 - 3/4*p + s*p**3 = 0.
-1, 0, 1
Let t(w) be the second derivative of 5*w**4/48 + 65*w**3/12 + 845*w**2/8 - w + 5. Factor t(a).
5*(a + 13)**2/4
Let c(n) be the first derivative of n**6/12 + n**5/2 - 7*n**4/4 + n**3/3 + 13*n**2/4 - 7*n/2 + 145. Factor c(x).
(x - 1)**3*(x + 1)*(x + 7)/2
Factor -1/8*i**3 + 0 + 7/8*i + 3/4*i**2.
-i*(i - 7)*(i + 1)/8
Let g(a) be the first derivative of a**4/12 - a**3/9 - 25*a**2/6 + 25*a/3 + 544. Solve g(d) = 0 for d.
-5, 1, 5
Let q = 57 - 54. Suppose 5*f - 2 = -x - 3, -q*x + 4*f + 16 = 0. Factor -1/2*m**5 + 1/2 + 5*m**2 - 5*m**3 + 5/2*m**x - 5/2*m.
-(m - 1)**5/2
Factor 2/3*l**4 - 1/6*l**5 - 2/3*l**3 - 1/3 + 5/6*l - 1/3*l**2.
-(l - 2)*(l - 1)**3*(l + 1)/6
Let z(w) be the third derivative of -w**6/200 + w**5/4 + 13*w**4/20 - 35*w**2. Find h, given that z(h) = 0.
-1, 0, 26
Let f(n) = 70*n**2 + 225*n. Let q(z) be the third derivative of -z**5/12 - 2*z**4/3 + 5*z**2. Let d(v) = -6*f(v) - 85*q(v). D