be the second derivative of -a**4 - 2*a**3 - 3/20*a**5 + 0*a**2 + m + 4*a. Factor b(i).
-3*i*(i + 2)**2
Let g(v) be the third derivative of v**5/15 - 109*v**4 + 71286*v**3 - 4*v**2 - 102*v. Factor g(z).
4*(z - 327)**2
Let p(m) be the second derivative of m**4/36 - 5*m**3/3 - 31*m**2/6 - m - 397. Factor p(w).
(w - 31)*(w + 1)/3
Let x = -116 + 116. Let t(z) be the third derivative of -1/16*z**4 - 3/80*z**5 + x + 0*z**3 + 5*z**2 + 0*z + 1/32*z**6. Factor t(w).
3*w*(w - 1)*(5*w + 2)/4
Let t(i) = -7*i - 5*i**2 + i**3 - 2*i + 3*i + 5. Let n be t(6). Factor 8*c - 20*c**2 + 2*c**3 + 6*c**3 + 5*c**3 - n*c**3.
4*c*(c - 2)*(2*c - 1)
Suppose -8*l + 20 = -3*l. Factor -h**5 + 28*h**3 + 1 - 4*h**4 - h - 2*h**2 + 5*h**l - 26*h**3.
-(h - 1)**3*(h + 1)**2
Factor -5/2*i - 9/4 - 1/4*i**2.
-(i + 1)*(i + 9)/4
Let j(m) = 0 + m - 4 + 3. Let q be j(6). Factor 0 + 4/5*l**4 + 0*l**3 - 2/5*l - 4/5*l**2 + 2/5*l**q.
2*l*(l - 1)*(l + 1)**3/5
Let q(u) be the second derivative of -u**6/150 + u**5/50 + 9*u + 11. Solve q(t) = 0.
0, 2
Factor -7041*m + 0*m**2 - 3*m**2 + 7027*m + 72 + 2*m**2.
-(m - 4)*(m + 18)
Suppose 10 - 7/3*u - 1/3*u**2 = 0. What is u?
-10, 3
Let b(o) be the first derivative of -o**6/30 - o**5/20 + o**4/12 + o**3/6 + 16*o + 11. Let m(c) be the first derivative of b(c). Factor m(f).
-f*(f - 1)*(f + 1)**2
Let z(y) be the first derivative of -y**6/1620 - y**5/135 - y**3/3 + 9. Let p(i) be the third derivative of z(i). Let p(t) = 0. Calculate t.
-4, 0
Suppose 0 = -q + 11*q + 50. Let o(r) = 3*r**4 + 13*r**3 - 3*r**2 - 8*r. Let p(f) = -f**4 - 6*f**3 + f**2 + 4*f. Let h(u) = q*p(u) - 2*o(u). Factor h(k).
-k*(k - 4)*(k - 1)*(k + 1)
Let r(z) be the first derivative of -7*z**6/51 - 32*z**5/85 + 3*z**4/34 + 32*z**3/51 + 4*z**2/17 + 3. Let r(j) = 0. What is j?
-2, -1, -2/7, 0, 1
Let h(p) = 45*p**3 + 33*p**2 + 9*p + 9. Let a(c) = 157 + 160 - 2*c - 11*c**3 - 319 - 8*c**2. Suppose -2*r + 2 = -r. Let u(t) = r*h(t) + 9*a(t). Factor u(x).
-3*x**2*(3*x + 2)
Let z(t) = -10*t**2 - 15*t - 25. Let a(d) be the second derivative of d**4/12 - d**3/6 + d**2/2 - 8*d. Let n(b) = -5*a(b) - z(b). Factor n(i).
5*(i + 2)**2
Let t be (-36)/(-21) + 6/21. Factor -2*z - 6*z**3 + z**3 - 5*z**3 + 9*z**3 + 3*z**t.
-z*(z - 2)*(z - 1)
Let i be 60/35 + -3*(-6)/63. Factor y + 0*y + 8 - 10 + y**i.
(y - 1)*(y + 2)
Solve b**5 + 3*b**5 - 1172*b**3 + 1940*b**3 + 96*b**4 + 2048*b**2 = 0.
-8, 0
Let s(n) be the first derivative of 25 - 8/7*n**2 - 1/14*n**4 - 8/7*n - 10/21*n**3. Factor s(g).
-2*(g + 1)*(g + 2)**2/7
Let y be 22/10 + 16/20. Let h(v) be the second derivative of 1/4*v**4 + 0*v**2 + 1/4*v**y - 7*v + 3/40*v**5 + 0. Factor h(u).
3*u*(u + 1)**2/2
Let q(f) be the first derivative of -1/12*f**3 - 11 + 1/2*f**2 + 0*f. Factor q(c).
-c*(c - 4)/4
Let a(r) be the first derivative of -r**5/25 - r**4/2 - 8*r**3/5 + r**2 + 5*r + 155. Solve a(m) = 0.
-5, -1, 1
Let k(f) = 3*f**4 + 40*f**3 - 68*f**2 - 201*f + 162. Let y(m) = m**4 + 10*m**3 - 17*m**2 - 50*m + 40. Let a(h) = -2*k(h) + 9*y(h). Factor a(z).
(z - 2)*(z + 3)**2*(3*z - 2)
Factor 58*d + 176/3 - 2/3*d**2.
-2*(d - 88)*(d + 1)/3
Let t be (-90)/(-15) - 12/2. Let -b**2 + t + 1/4*b**5 - 3/4*b**3 + b + 1/2*b**4 = 0. Calculate b.
-2, 0, 1
Suppose -17*l - 1835 = -7190. Let f be (-9)/(l/(-28))*(-7)/(-4). Factor u**2 + 16/5*u - f*u**3 + 4/5.
-(u - 2)*(u + 1)*(7*u + 2)/5
Let i = -1/1077 + 120/359. Factor 1 - 4/3*y + i*y**2.
(y - 3)*(y - 1)/3
Let h(a) = -444*a + 1332. Let u be h(3). Factor -1/6*t**2 + u + 1/6*t**3 + 0*t.
t**2*(t - 1)/6
Let d(j) be the first derivative of 2/5*j**2 - 1/30*j**4 - j - 3 + 1/15*j**3. Let l(u) be the first derivative of d(u). What is g in l(g) = 0?
-1, 2
Let j = 29 - 27. Solve -o**j + 7*o**2 + 2*o**3 - o**2 + 3*o**3 = 0 for o.
-1, 0
Suppose -4*x = 121 + 55. Let o = 63 + x. Find t such that -t + o*t**2 - 18*t**2 - 7*t + 6 + 10 = 0.
4
Let u = -4 + 7. Suppose -u*f = f + 3*s - 79, -31 = -f - 3*s. Factor 4*i**3 - i - 4*i**4 - f*i + 12*i**2 - 3*i + 8.
-4*(i - 1)**3*(i + 2)
Solve 171/2*l**2 - 53/2*l**3 + 1/2*l**5 - 7/2*l**4 + 864 + 648*l = 0 for l.
-3, 8
Let t = 661/6 + -110. Let k(z) be the first derivative of 6 - 3/2*z - 1/2*z**2 + t*z**3. Find i, given that k(i) = 0.
-1, 3
Let b be (-1400)/(-1200) - 2/3. What is v in -b*v**5 + 0*v**2 + 0 - 1/2*v**3 + 0*v - v**4 = 0?
-1, 0
Let a be 51 - 1/(3 - 4). Determine m so that a*m**3 - 92*m**3 + 7*m**3 - 9*m**2 + 12*m**4 = 0.
-1/4, 0, 3
Suppose 1/4*w**2 - 3/4*w**3 - 1/4*w**4 + 3/4*w + 0 = 0. Calculate w.
-3, -1, 0, 1
Suppose -3*b = -15 + 6. Suppose -3*x + 4*k = -0*x + 4, -b*x = 5*k - 32. Suppose 0 - o + o**3 + 1/2*o**x - 1/2*o**2 = 0. What is o?
-2, -1, 0, 1
Let y be 12*(-9)/27 - 42/(-10). Let -1/5*o**2 - y*o**3 + 0 + 2/5*o = 0. Calculate o.
-2, 0, 1
Let s(h) be the second derivative of -h**5/150 - h**4/60 + 2*h**3/5 - 25*h**2/2 + 21*h. Let q(u) be the first derivative of s(u). Find o, given that q(o) = 0.
-3, 2
Factor 64*h - 93 + 23*h**2 - 3 + 34*h**2 - 14*h**3 - 11*h**2.
-2*(h - 4)*(h - 1)*(7*h + 12)
Let n = -16607/5 + 3322. Find u such that n*u**2 + 9/5 - 3*u + 3/5*u**3 = 0.
-3, 1
Let b(q) be the first derivative of -2 - 1 + 4*q + 12*q**3 - 2 - 12*q**2 - 1. Suppose b(c) = 0. Calculate c.
1/3
Factor 26136/7*p + 2/7*p**3 - 574992/7 - 396/7*p**2.
2*(p - 66)**3/7
What is u in -91/2*u + 45*u**2 + 1/2*u**3 + 0 = 0?
-91, 0, 1
Let k(q) = -4*q - 45. Let d be k(-13). Solve -2*l**3 + d*l**3 - 15*l**2 - 5 - 15*l**2 + 15*l + 55 = 0.
-1, 2, 5
Let q(s) be the second derivative of 0 + 1/30*s**4 + 1/5*s**2 - 2/15*s**3 - 7*s. Factor q(l).
2*(l - 1)**2/5
Suppose -5*n + 25 = 3*m, 5*n + 3*m - 45 = 4*m. Find r such that -17*r + 6*r**2 + n*r - 16 + 7*r - 18*r = 0.
-2/3, 4
Factor 20/7*b**2 + 2/7*b**3 + 64/7 + 64/7*b.
2*(b + 2)*(b + 4)**2/7
Let -2/7*f**2 - 16/7 + 12/7*f = 0. What is f?
2, 4
Let r(i) be the third derivative of 2/3*i**4 + 8/3*i**3 + 0 + 1/15*i**5 + 16*i**2 + 0*i. Solve r(t) = 0.
-2
Let b be (-4)/5*(-74075)/200 - -1. Let k = -1254/5 + b. Determine m so that 6 - 21*m**3 - k*m**2 - 6*m = 0.
-2, -1/2, 2/7
Let k(y) = 5*y**2 + 71*y + 250. Let c be k(-10). Factor -2 - 289/2*u**5 - 505/2*u**2 - c*u - 935/2*u**4 - 1075/2*u**3.
-(u + 1)**3*(17*u + 2)**2/2
Let m(c) = -17*c - 391. Let t be m(-23). What is v in -2/3*v - 8/3*v**3 + t + 10/3*v**2 = 0?
0, 1/4, 1
Let l = -103/145 + 4033/1595. Suppose 0 + l*o + 2/11*o**2 = 0. Calculate o.
-10, 0
Let a = -804 - -809. Let r(y) be the third derivative of 0*y + 1/105*y**a + 7*y**2 - 1/84*y**4 + 1/420*y**6 + 0 - 2/21*y**3. Factor r(g).
2*(g - 1)*(g + 1)*(g + 2)/7
Let t(b) be the third derivative of b**8/448 + 13*b**7/140 - b**6/80 - 13*b**5/20 + b**4/32 + 13*b**3/4 + 543*b**2. Solve t(w) = 0 for w.
-26, -1, 1
Let w(c) be the first derivative of 2 + 2/3*c**3 + 8/3*c - 8/3*c**2. Let w(d) = 0. Calculate d.
2/3, 2
Let z(g) = g**3 - 5*g**2 - g + 8. Let s be z(5). Solve -92*x**2 + s*x + 0*x + 95*x**2 = 0.
-1, 0
Let x(j) be the third derivative of -1/24*j**5 + 11*j**2 - 1/96*j**6 + 0*j**3 - 5/96*j**4 + 0 + 0*j. Factor x(u).
-5*u*(u + 1)**2/4
Let g(o) be the first derivative of -o**4/24 + o**3/4 - o**2/2 - 9*o - 3. Let m(k) be the first derivative of g(k). Factor m(d).
-(d - 2)*(d - 1)/2
Let l(z) = 2*z - 6. Suppose 20 = 3*x + 2*d, 3*x - d - 6 = 2. Let g be l(x). Factor 1 + 4*y**2 - 4*y**g - y**2.
-(y - 1)*(y + 1)
Let f(m) be the first derivative of -m**3/7 - 255*m**2/7 - 21675*m/7 - 320. What is r in f(r) = 0?
-85
Let x = 222 + -881/4. Let f = x + -17/12. Find v such that -1/3*v**3 + f + 2/3*v**4 + 1/3*v - v**2 = 0.
-1, -1/2, 1
Let h be (609/182 - (-4)/26)*46. Let u = h - 803/5. Solve -u*t + 2/5*t**2 - 4/5 = 0 for t.
-1, 2
Let p(h) be the second derivative of h**4/20 - 202*h**3/5 + 61206*h**2/5 + 85*h + 4. Suppose p(k) = 0. What is k?
202
Suppose -4*d - 3*f + 20 = 0, 4*d = 9*d + 3*f - 22. Let g = -2 - -6. Factor 147*q**5 - 154*q**4 + q + 532*q**g + 327*q**3 + 11*q + 108*q**d.
3*q*(q + 1)**2*(7*q + 2)**2
Let z(a) = a**2 - 14*a + 15. Let m be z(13). Let w be ((-4)/(-3))/(m/3). Factor 7*g**2 - w*g**2 - 2*g**3 - g**4 - 5*g**2.
-g**3*(g + 2)
Suppose -4*h = -2*u + 112, 0 = 5*u + h + 16 - 252. Let q = 95 - u. Let -23*w + q*w + w**2 - 25*w = 0. What is w?
0, 1
Let l(f) = -6*f**5 + 13*f**4 + 7*f**3 + 3*f - 6. Let b(j) = -6*j**5 + 12*j**4 + 6*j**3 + 2*j - 4. Let o(k) = -6*b(k) + 4*l(k). Find a such t