**3/3 + n**2/2 - 192*n. Factor s(g).
-(g + 2)*(5*g - 2)/4
Let l(o) be the second derivative of -o**6/120 + o**5/60 + o**4/24 - o**3/6 + 5*o**2/2 - o. Let z(f) be the first derivative of l(f). Let z(k) = 0. What is k?
-1, 1
Let n(y) be the first derivative of -y**6/30 - y**5/20 + y**4/4 + 5*y**3/6 + y**2 - 8*y - 24. Let r(x) be the first derivative of n(x). Solve r(d) = 0.
-1, 2
Let v(q) be the second derivative of -2/21*q**7 + 0 + 4/15*q**6 - 1/5*q**5 + 0*q**2 + 0*q**4 + 0*q**3 - 7*q. Solve v(o) = 0.
0, 1
Let b(m) be the first derivative of 15*m**4/28 + 16*m**3/7 + 6*m**2/7 - 48*m/7 - 98. Factor b(p).
3*(p + 2)**2*(5*p - 4)/7
Let n(c) = -c**3 - 4*c**2 + 9*c - 16. Let g = 136 + -142. Let w be n(g). Factor -1/3 + 1/3*t + t**3 + 5/3*t**w.
(t + 1)**2*(3*t - 1)/3
Let j be (7/((-112)/60))/(3/(-8)). Factor 22*w**2 + 16*w**2 + 20*w**2 - 8 - 60*w**2 - j*w.
-2*(w + 1)*(w + 4)
Suppose -34 + 38 = 2*m. Let w(s) be the first derivative of 1/3*s**3 + 3/2*s**2 + 5 + m*s. Suppose w(y) = 0. Calculate y.
-2, -1
Suppose -w = -5*t + 10, t + 3*w = -2*w + 28. Let y(d) be the first derivative of 3/8*d**4 - 3/2*d**t - 3/2*d + 9/4*d**2 - 8. Factor y(i).
3*(i - 1)**3/2
Let z(l) be the third derivative of 0*l + 1/66*l**4 - 1/660*l**6 + 11*l**2 + 0*l**3 + 0 + 1/330*l**5. Factor z(x).
-2*x*(x - 2)*(x + 1)/11
Let c = -223 - -227. Let y(l) be the third derivative of 2*l**2 + 0*l**c + 0*l - 1/300*l**6 + 0*l**3 - 1/150*l**5 + 0. Factor y(m).
-2*m**2*(m + 1)/5
Let t be (17/(-6) - -3)/((-84)/(-56)). Let z(i) be the second derivative of 0 + 0*i**2 - 1/45*i**6 - 4*i - 1/30*i**5 + 1/18*i**4 + t*i**3. Factor z(j).
-2*j*(j - 1)*(j + 1)**2/3
Let t(b) be the second derivative of b**8/3360 - 19*b**7/8820 + b**6/315 + b**5/105 - 7*b**4/12 - 5*b. Let z(c) be the third derivative of t(c). Factor z(q).
2*(q - 2)*(q - 1)*(7*q + 2)/7
Factor 8*h**4 - 95*h + 4*h**4 + 68*h - 47*h**3 - 132*h**2 - 46*h**3.
3*h*(h - 9)*(h + 1)*(4*h + 1)
Suppose 32 = 10*s - 2*s. Let x(p) be the second derivative of -1/36*p**s - 5*p + 0 - 1/18*p**3 + 1/3*p**2. Factor x(m).
-(m - 1)*(m + 2)/3
Factor -8/5*x**2 + 0*x + 0 + 36/5*x**4 + 28/5*x**3.
4*x**2*(x + 1)*(9*x - 2)/5
Suppose 0 = 2*j, -11 + 2 = -3*y - 2*j. Find l such that -8/5*l**4 + 2/5*l - 2/5*l**y + 8/5*l**2 + 0 = 0.
-1, -1/4, 0, 1
Let y be 2/4*(3 - 3). Let q = 551 + -3851/7. Factor 0*g**2 + q*g**5 + y - 2/7*g + 16/7*g**4 + 12/7*g**3.
2*g*(g + 1)**3*(3*g - 1)/7
Let u = 92 - 62. Solve -2*t - u + 20*t**2 + 4*t**3 + 0*t**3 + 7*t + t**3 = 0.
-3, -2, 1
Let i = 22323 - 156253/7. Solve 6/7*b**2 + 0*b - i + 2/7*b**3 = 0 for b.
-2, 1
Let s(o) = -o**3 - o**2 + 1. Let t(u) = -6 + u - 9*u + 4*u**3 + 0*u**3 + 14*u**2 + 8*u**3. Let q(k) = -6*s(k) - t(k). Let q(p) = 0. Calculate p.
-2, 0, 2/3
Factor -z**2 + 514*z - 1024 - 204*z - 171*z - 203*z.
-(z + 32)**2
Let a(v) = 3*v - 7*v - 5*v. Let w(x) = x**2 - 17*x + 1. Suppose 3*s - 2*s = 5*i, -5*i - 10 = -3*s. Let b(o) = s*a(o) - 3*w(o). Factor b(p).
-3*(p - 1)**2
Let o(w) = 290*w - 1738. Let z be o(6). Factor 6/5*i - 2/5*i**z + 8/5.
-2*(i - 4)*(i + 1)/5
Let t(v) be the third derivative of v**6/240 - v**5/20 + 11*v**4/48 - v**3/2 - 15*v**2 + v. Determine k, given that t(k) = 0.
1, 2, 3
Let b(o) be the second derivative of 1/78*o**4 + 4/39*o**3 + 4/13*o**2 - 26*o + 0. Suppose b(v) = 0. What is v?
-2
Suppose 402*r - 408*r = -12. Suppose 4*x + 2*b = -0*x + r, 4*b = -x - 17. Factor 0 - 4/7*o**2 - 2/7*o**x + 0*o.
-2*o**2*(o + 2)/7
Factor 89*p**3 + 44*p**3 - 4355*p**2 - 5540*p + 1051*p - p**4.
-p*(p - 67)**2*(p + 1)
Suppose 4*r + v = 25, 0 = 4*r - 0*r - 5*v + 5. Factor -u**r - 10*u**4 - 2*u**2 - 11*u**3 + 4*u**4 - 88 + 96 + 12*u.
-(u - 1)*(u + 1)*(u + 2)**3
Let w(m) = -7*m**3 - 2*m**2 + 1. Let q be w(-1). Let y be 238/18 - (0 + q - 3). Factor 20/3*u**2 + 2/9 + 2*u + y*u**3 + 22/3*u**4 + 2*u**5.
2*(u + 1)**3*(3*u + 1)**2/9
Let 0*i - 1/3*i**2 + 0 + 1/3*i**3 = 0. What is i?
0, 1
Let c(g) = -4*g**3 + 76*g**2. Let p be c(19). Suppose 2/7*o**4 + 0 - 6/7*o**2 + 4/7*o + p*o**3 = 0. What is o?
-2, 0, 1
Factor -41 - 42*g - 8*g**3 + 17 - 21*g**2 + 5*g**3.
-3*(g + 1)*(g + 2)*(g + 4)
Let n(s) be the second derivative of -s**5/8 - 5*s**4/6 - 25*s**3/12 - 5*s**2/2 - 13*s. Suppose n(m) = 0. Calculate m.
-2, -1
Let u be (-43)/(-5) - (-12)/30. Suppose -3*j = 2*i + u, -i + 2*j + 1 = -12. Factor 40*l**2 - 4*l**i - 4*l + 4 - 44*l**2 + 8*l.
-4*(l - 1)*(l + 1)**2
Let p(h) be the first derivative of 20 + 5/2*h**2 - 11/2*h + 1/6*h**3. Factor p(c).
(c - 1)*(c + 11)/2
Let j(a) be the third derivative of a**5/270 + 7*a**4/54 + 8*a**3/9 - 144*a**2. Solve j(d) = 0 for d.
-12, -2
Let j be 2/(-5 - 1) + (-31)/3. Let o = j - -12. Factor 0 + 2*k**2 + o*k + 2/3*k**3.
2*k*(k + 1)*(k + 2)/3
Let r(i) be the third derivative of i**5/15 - 2*i**4/3 + 8*i**3/3 - 88*i**2. Factor r(a).
4*(a - 2)**2
Let r(s) be the second derivative of s**5/170 + 3*s**4/17 - 40*s**3/51 - s + 190. Factor r(i).
2*i*(i - 2)*(i + 20)/17
Let o(z) be the first derivative of z**3/3 + 116*z**2 + 13456*z - 337. Find f such that o(f) = 0.
-116
Let l(t) be the second derivative of t**4/42 + 5*t**3/7 - 16*t**2/7 + 135*t. Solve l(j) = 0 for j.
-16, 1
Let b = 2087 + -2085. Solve 784/3*r**4 - 58/3*r - 754/3*r**3 + 4/3 + 104*r**b - 96*r**5 = 0 for r.
2/9, 1/4, 1
Suppose -3*p = -4*b + 54, 0 = 5*b + 3*p - 7*p - 68. Let 30*z - b + 21/2*z**3 - 3/2*z**4 - 27*z**2 = 0. Calculate z.
1, 2
Let s be 16 + (-4)/10 + 16/(-10). Suppose -5*q = -f - 6, q - 3*f + s = 4. Find y, given that 4/3 + q*y + 2/3*y**2 = 0.
-2, -1
Let -20/3*b**5 + 164/3*b**3 + 98/3*b**4 + 0 + 16*b - 200/3*b**2 = 0. Calculate b.
-2, 0, 2/5, 1/2, 6
Suppose 0 = 5*r + 340 - 370. Factor -r*p**2 + 0 + 3/5*p**3 + 15*p.
3*p*(p - 5)**2/5
Let s = 34 + -29. Factor -s*m**2 + 18*m + m**2 - 14*m.
-4*m*(m - 1)
Let z(h) = 14*h**2 + 204*h + 114. Let w(l) = 16*l**2 + 203*l + 111. Let p(d) = 2*w(d) - 3*z(d). Factor p(f).
-2*(f + 20)*(5*f + 3)
Let d be ((-2440)/336)/(-5) - 30/(-36). Suppose -d*q + 2/7*q**2 - 18/7 = 0. What is q?
-1, 9
Suppose 3*w = -23 + 38. Let f(x) be the first derivative of 0*x + 0*x**3 - 5 + 0*x**2 - 1/10*x**4 - 2/25*x**w. Factor f(y).
-2*y**3*(y + 1)/5
Let c = -12383 + 12383. Determine j, given that -1/10*j**4 - 1/10*j**2 + c*j + 0 - 1/5*j**3 = 0.
-1, 0
Let c(x) be the third derivative of -x**7/2520 + x**3/3 + 7*x**2. Let l(v) be the first derivative of c(v). Find t such that l(t) = 0.
0
Let r(u) = -u. Let n(q) = -6*q + 2. Let f(x) = n(x) - 8*r(x). Let k(c) = -c**2 - 11*c - 11. Let z(m) = 11*f(m) + 2*k(m). Factor z(s).
-2*s**2
Let x be (-30)/(-20)*(-10)/(-3). Let q(b) = -b - 2. Let v be q(-4). Factor -y**3 - 4*y**x - v*y**2 - y**4 + 3*y**4 + 5*y**5.
y**2*(y - 1)*(y + 1)*(y + 2)
Suppose 25/4*s**2 + 87/4*s + 1/4*s**3 + 63/4 = 0. What is s?
-21, -3, -1
Let j(h) = h**2 + 1 + 1 + 3*h + 6 - 3. Let d be j(-3). Factor 4 - 2*z**3 - 11*z**2 - 2*z**4 - 5*z**3 - d*z**3 + 3*z**3.
-(z + 1)*(z + 2)**2*(2*z - 1)
Find l, given that -173*l + l**3 - 4*l**2 + 183*l + 11*l**2 = 0.
-5, -2, 0
Let s = 10 + -3. Let n be s - 10 - (0 - 13/3). Factor -n + 0*a + 1/3*a**2.
(a - 2)*(a + 2)/3
Suppose -6*b + 7*b - 3 = 0. Let r(w) be the first derivative of 168/5*w**5 + 43*w**b + 3*w - 1 + 8*w**6 + 33/2*w**2 + 219/4*w**4. Determine c so that r(c) = 0.
-1, -1/4
Solve 2*v**2 + 0 + 8/3*v - 14/3*v**3 = 0.
-4/7, 0, 1
Let u(y) be the third derivative of -108/5*y**6 + 0 - 128/3*y**3 - 72/35*y**7 - 184/3*y**4 + 0*y + 9*y**2 + 27/28*y**8 - 256/5*y**5. Factor u(g).
4*(g - 4)*(3*g + 2)**4
Suppose 5*p = 2*p + 15. What is b in -p*b**3 - 3 - 7*b**3 + 3*b**2 + 0*b**3 + 12*b = 0?
-1, 1/4, 1
Let j = -90 - -83. Let f(o) = 5*o + 35. Let x be f(j). Determine d, given that 0*d**4 + 0*d**2 - 1/2*d**5 - 1/2*d + d**3 + x = 0.
-1, 0, 1
Let w = 195/4 - 973/20. Let u(x) be the first derivative of 0*x**2 + 3/16*x**4 - 6 + 1/12*x**3 + w*x**5 + 0*x. Let u(f) = 0. What is f?
-1, -1/2, 0
Let r(b) be the first derivative of 3*b**5/100 - b**4/20 - b**3/10 + 3*b**2/10 - 2*b + 14. Let f(o) be the first derivative of r(o). Factor f(v).
3*(v - 1)**2*(v + 1)/5
Let v(d) = 14*d - 2. Let l be v(12). Solve 100 - 25*w**3 + 125*w**2 + 5*w**5 + l*w - 20 - 25*w**4 + 34*w = 0.
-1, 4
Let u(q) be the third derivative of q**7/3360 + q**6/1440 - q**5/480 - q**4/96 - 11*q**3/6 + 13*q**2. Let r(s) be the first derivative of u(s). Factor r