
Factor -54 - 135/8*b + 3/8*b**2.
3*(b - 48)*(b + 3)/8
Let v(f) = 165*f + 5280. Let w be v(-32). Let q(j) be the second derivative of w + 9/100*j**5 - 45*j + 1/10*j**4 - 2/3*j**3 + 4/5*j**2. Factor q(l).
(l + 2)*(3*l - 2)**2/5
Let v be 18/3 + -3 + 0. Suppose o = v*d - 8, -4*o = -o + 6. Solve -8*p + d*p - 10*p + 20 - 4*p**2 = 0 for p.
-5, 1
Let c = -1917739/9 + 213083. Find b such that -4/9*b**5 + 16/9*b**3 - 8/9*b**2 - 4/3*b + c*b**4 + 0 = 0.
-1, 0, 1, 3
Let x be (-3 + 1 - -2)/(-4). Suppose x = -g - g + 8. Let -3*m - 10*m**3 + 19*m**2 - g*m**2 - m - m = 0. What is m?
0, 1/2, 1
Suppose -64*i - 240 = -48. Let r(k) = -6*k + 10. Let c be r(i). Determine p, given that 38/5*p**2 + 98/15 + c*p + 8/15*p**3 = 0.
-7, -1/4
Let r(t) be the second derivative of -3/20*t**5 + 0*t**4 + 0*t**3 - t + 3/10*t**6 + 0*t**2 + 7 + 2/7*t**7. Let r(y) = 0. Calculate y.
-1, 0, 1/4
Determine j, given that -3/7*j**3 - 132/7 - 45/7*j**2 - 144/7*j = 0.
-11, -2
Let u(d) be the third derivative of 0*d**3 + 3/40*d**5 + 1/24*d**4 - 31*d**2 + 0*d + 0 + 1/60*d**6. Find f such that u(f) = 0.
-2, -1/4, 0
Let o be (-4)/6*-1*63/2. Solve -3*t**2 - o - 17 - t**3 + 37 - 3*t = 0 for t.
-1
Let w(d) be the first derivative of 9*d**5/5 - 591*d**4/20 - 184*d**3/5 + 42*d**2/5 - 330. Suppose w(i) = 0. What is i?
-1, 0, 2/15, 14
Let w(p) = p + 20. Let d be w(-16). What is s in 12*s**2 + 3*s**4 + 13*s**3 - 12 - d - 11*s + s - 2*s = 0?
-2, -4/3, 1
Let n(a) = -2*a**4 + 36*a**3 + 60*a**2 - 98*a + 2. Let r(g) = 5*g**4 - 36*g**3 - 60*g**2 + 97*g - 3. Let c(k) = 3*n(k) + 2*r(k). Find f such that c(f) = 0.
-5, 0, 1
Let r be (13 + -11)/(2/22). Factor 44*u**3 - u**4 + 5*u**2 - r*u**3 - 4*u**4 - 20*u**3 - 2*u.
-u*(u - 1)*(u + 1)*(5*u - 2)
Let h(c) be the third derivative of c**5/240 - 713*c**4/96 - 119*c**3/4 - 9154*c**2. Let h(m) = 0. What is m?
-1, 714
Let v be 1 + (13 + 1872/(-143))*-22. Factor 0*l + 3*l**2 + 0 + 1/2*l**v.
l**2*(l + 6)/2
Let v be ((-1188)/2673)/(8/(-210)). Let x(p) be the first derivative of -13 + 10*p + 5*p**5 - v*p**3 - 15/2*p**2 + 15/4*p**4. Determine l so that x(l) = 0.
-1, 2/5, 1
Let n(r) be the third derivative of r**5/80 + 11*r**4/16 - 90*r**3 + 2*r**2 - 240*r + 2. Suppose n(c) = 0. What is c?
-40, 18
Let c(k) be the third derivative of 1/210*k**6 + 0*k**3 - 5*k**2 + 8/21*k**4 + 0 + 8/105*k**5 + 19*k. Factor c(h).
4*h*(h + 4)**2/7
Let i(a) = 5*a - 14 + 0 + 4 + 3*a**2 + 0. Let s(m) = m + 1. Let q(z) = i(z) + s(z). What is f in q(f) = 0?
-3, 1
Suppose 10*j - 13*j = -2*q - 14, 3*j + 2*q = 10. Suppose 1/3*n**3 + 2/3 + 1/3*n**j - 1/3*n - n**2 = 0. Calculate n.
-2, -1, 1
Let y(u) be the second derivative of 0*u**6 + 5/6*u**3 + 1 + 0*u**2 + 0*u**4 + 27*u - 1/2*u**5 + 5/42*u**7. Factor y(t).
5*t*(t - 1)**2*(t + 1)**2
Factor -96 - 70 - 234 + 16*g**2 + 20*g + g**3.
(g - 4)*(g + 10)**2
Let n = 903 - 925. Let x(j) = j + 0*j**3 - 10*j**3 - 1 - 17*j**2 + 4. Let k(y) = -y**3 - y**2 - y + 1. Let f(a) = n*k(a) + 2*x(a). Solve f(b) = 0.
2
Let m(c) be the first derivative of 2*c**3/9 - 241*c**2/3 + 956*c/3 - 627. Let m(q) = 0. What is q?
2, 239
Suppose -5*q - 16 = -13*q. Suppose q*h = -k + 5, -k + 2 = -16*h + 17*h. What is x in 0 + x**h - 5/4*x**2 + 1/4*x = 0?
0, 1/4, 1
Let d be 4 + (-8 + 7)*-6. Find z, given that -29*z - 258*z**2 + d*z**3 - 196*z**2 + 184 - 166*z - 85*z = 0.
-1, 2/5, 46
Let l = -3911 - -3914. Factor -3/2*z**2 + 9/2*z - 5/2*z**l - 1/2*z**4 + 0.
-z*(z - 1)*(z + 3)**2/2
Let t(h) = -h**2 - h + 2. Let z(d) = -7*d**2 + 448*d - 10121. Suppose -s = -3, -2*g + 2*s = 2*g - 2. Let p(a) = g*t(a) - z(a). Suppose p(v) = 0. Calculate v.
45
Let n(a) be the first derivative of 1/5*a**5 - 2/3*a**3 - 14*a - 5 - 2*a**2 + 1/3*a**4. Let w(k) be the first derivative of n(k). Solve w(g) = 0 for g.
-1, 1
Let t(r) = -r**2 - r + 1. Let z(b) = 2*b**2 + 452*b - 4*b**2 - 418*b - 37 + 0*b**2. Let k(q) = 5*t(q) - z(q). Factor k(l).
-3*(l - 1)*(l + 14)
Suppose -5*c + 195 = -8*g + 13*g, 4*c - 3*g = 121. Suppose 19 = -5*z - 3*h + c, -z - 4*h = -20. Let -1/6*y**4 + 1/6*y**2 + 0*y + z + 0*y**3 = 0. Calculate y.
-1, 0, 1
Suppose -1328*y + 440*y + 443*y + 435*y = -50. Let -14/3*o**3 - 46/9*o**2 + 10/3*o**4 + 10/3*o - 4/9*o**y + 0 = 0. Calculate o.
-1, 0, 1/2, 3, 5
Solve -427/5*d**2 - d**3 + 172/5 + 52*d = 0.
-86, -2/5, 1
Let o be (36/(-72) + (-12)/3)/((-3)/4). Let j(c) be the third derivative of 0 - 12*c**2 - 1/24*c**4 + 1/480*c**o + 0*c + 0*c**3 + 0*c**5. Factor j(x).
x*(x - 2)*(x + 2)/4
Suppose -2*j = -z + 6, -7*z + 2*j - 2 = -10*z. Suppose -k = -z*d + 6, -8*d + 3*k = -10*d - 2. Solve -2/7*f**d + 0 + 2/7*f = 0 for f.
0, 1
Suppose -719*j + 1073*j = 1062. Factor 36 + 1/4*k**4 + 193/4*k**2 + 78*k + 13/2*k**j.
(k + 1)**2*(k + 12)**2/4
Let f(l) be the second derivative of -l**4/42 - 20*l**3/21 + 69*l**2/7 + 1887*l. Factor f(d).
-2*(d - 3)*(d + 23)/7
Let i = 4175/224 - -135/32. Factor -i*c**2 - 128/7*c**3 - 36/7 + 174/7*c.
-2*(c + 2)*(8*c - 3)**2/7
Find z such that -6/5 - 3/5*z + 33*z**2 = 0.
-2/11, 1/5
Let t = 278167/3 - 92721. Factor 2/9*d**2 + 14/9*d + t.
2*(d + 1)*(d + 6)/9
Let u(k) be the second derivative of -k**6/135 - 13*k**5/90 + 5*k**4/18 + 13*k**3/27 - 14*k**2/9 - 419*k. Let u(i) = 0. Calculate i.
-14, -1, 1
Let v be 20/13 - 4/(0 - (-130)/(-15)). Find w such that -5/2*w + 3/2*w**v + 7/6 - 1/6*w**3 = 0.
1, 7
Factor 0 - 10*m**3 - 18*m**2 - 26/3*m - 2/3*m**4.
-2*m*(m + 1)**2*(m + 13)/3
Let f(l) = 4*l - 86. Let k be f(20). Let n(b) = -2*b**2 + 85*b - 1163. Let m(u) = u**2 - 42*u + 582. Let z(g) = k*n(g) - 11*m(g). What is r in z(r) = 0?
24
Factor 139/5*c + 1/5*c**2 - 426/5.
(c - 3)*(c + 142)/5
Let p(s) be the third derivative of s**6/480 - 23*s**5/240 - 25*s**4/12 - 25*s**3/2 - 35*s**2 + 7*s + 1. Factor p(x).
(x - 30)*(x + 2)*(x + 5)/4
Let y be ((-10)/(-6))/(41/3321). Suppose 18*s + 99 - y = 0. Factor 0*o - 2/5 + 2/5*o**s.
2*(o - 1)*(o + 1)/5
Suppose 5*q = -3*w + q + 63, 0 = -5*q. Solve 1624*h**2 + 14*h - 1621*h**2 - w + 4*h = 0 for h.
-7, 1
Let z(q) be the third derivative of q**5/60 - q**4/8 - 2*q**3/3 + 501*q**2. Factor z(a).
(a - 4)*(a + 1)
Let t be (-7)/(-1) + -7 + 3. Suppose y - 5*n + 25 = 0, t*n = 60*y - 58*y + 15. Factor 4/5*r**4 + 0 + y*r + 0*r**2 - 2/5*r**5 - 2/5*r**3.
-2*r**3*(r - 1)**2/5
Let q be (-5)/(2 - -3)*2. Let f(x) = -x**2 - 2*x + 2. Let c be f(q). Let -5*h - 9*h**2 + 2*h + 8*h**3 + 5*h**c - h = 0. What is h?
-1/2, 0, 1
Let k(j) be the first derivative of -j**4/4 - 8*j**3 + 51*j**2/2 + 86*j + 15. Let b(o) be the first derivative of k(o). Factor b(s).
-3*(s - 1)*(s + 17)
Let v(r) = -r**5 + 6*r**4 - 4*r**3 - 4*r**2 + r - 2. Let k(o) = o**4 - o**3 - o - 1. Let l(g) = 6*k(g) - 3*v(g). Let l(u) = 0. What is u?
-1, 0, 1, 3
Let l = -37561 + 37563. Factor d**l + 4*d - 5/3*d**3 + 4/3.
-(d - 2)*(d + 1)*(5*d + 2)/3
Let a be (-4)/((395/237)/(33/(-18) - -1)). Factor 1/3*q**3 - 19/3*q - 10/3 - 8/3*q**a.
(q - 10)*(q + 1)**2/3
Let b(q) be the third derivative of q**8/1008 - 13*q**7/630 + q**6/24 + 17*q**5/36 - 19*q**4/18 - 22*q**3/3 - 109*q**2 - 10*q. Determine m so that b(m) = 0.
-2, -1, 2, 3, 11
Let k(w) be the first derivative of -w**3 - 2*w**2 + 0*w - 1/8*w**4 - 24. Let k(u) = 0. Calculate u.
-4, -2, 0
Suppose 959*l + 55 = 948*l. Let z be ((-8)/(-4))/(l/40*-14). Factor -z + 16/7*f**4 - 8/7*f**2 + 4/7*f**5 - 20/7*f + 16/7*f**3.
4*(f - 1)*(f + 1)**3*(f + 2)/7
Let k(m) = 2*m**2 + 40*m + 6. Let g be k(-21). Solve -45*i - 90*i**2 - 13*i**4 - g*i**3 - 8*i + 11*i**4 + 9*i = 0 for i.
-22, -1, 0
Factor 305529*r**3 - 305634*r**3 - 5*r**4 - 83*r - 97*r - 280*r**2.
-5*r*(r + 1)*(r + 2)*(r + 18)
Let i = 1/290074 + 145035/580148. Factor -i*l**2 - 7/4*l - 3/2.
-(l + 1)*(l + 6)/4
Let k(v) = -v**5 - v**4 + v**2 + 3*v. Let x(u) = 6*u**5 - 6*u**4 + 62*u**3 + 6*u**2 - 84*u. Let m(g) = 8*k(g) + x(g). Solve m(d) = 0 for d.
-10, -1, 0, 1, 3
Let r(w) be the second derivative of -w**5/10 - 19*w**4/6 - 6*w**3 - 3*w + 30. Factor r(g).
-2*g*(g + 1)*(g + 18)
Let w(t) be the second derivative of -t**4/27 + 2266*t**3/27 - 2264*t**2/9 + 5*t - 140. Factor w(s).
-4*(s - 1132)*(s - 1)/9
Let i(q) be the second derivative of q**6/840 - q**5/14 + 21*q**2 - 4*q + 35. Let m(s) be the first derivative of i(s). Solve m(y) = 0.
0, 30
Let t(f) be the second derivative of f**4/24 + 11*f**3/12 - 175*f**2/2 - 273*f + 3. Factor t(v).
(v - 14)*(v + 25