m**6 + 0 - 1/60*m**5 + 1/18*m**3 + 1/36*m**4 + 0*m**s + 16*m. Factor x(n).
-n*(n - 1)*(n + 1)**2/3
Suppose -749*n - w + 28 = -744*n, 0 = -2*n + 2*w - 8. Factor 0 - 2*s**n + 0*s - 2/3*s**5 - 2*s**3 - 2/3*s**2.
-2*s**2*(s + 1)**3/3
Let q(i) be the second derivative of 27*i + 1/30*i**4 + 0*i**2 + 0 + 2/3*i**3. Solve q(v) = 0.
-10, 0
Let o(t) = t**2 - 23*t - 1. Let m(x) = 3*x**2 - 112*x + 220. Let s(l) = 3*m(l) - 12*o(l). Factor s(a).
-3*(a - 8)*(a + 28)
Let c(k) be the first derivative of 0*k + 3*k**5 + 6 - 20/3*k**3 + 0*k**4 + 5/6*k**6 + 0*k**2. Let c(o) = 0. Calculate o.
-2, 0, 1
Let i(z) be the second derivative of 0 + 90*z - 445/18*z**3 + 5/9*z**4 + 55/3*z**2. Find n such that i(n) = 0.
1/4, 22
Let k(t) be the third derivative of 0 + 5/336*t**8 + 7/3*t**5 + 5*t**2 + 0*t**4 + 2*t - t**6 + 1/14*t**7 + 0*t**3. Factor k(r).
5*r**2*(r - 2)**2*(r + 7)
Let j(k) = 11*k**2 - 5*k + 2. Let x = 188 + -178. Let w(y) = y**2 + y + 2. Let n(g) = x*w(g) - 5*j(g). Let n(m) = 0. What is m?
-2/9, 1
Suppose -g + 56 = 4*j, 24598*g + 3*j = 24591*g + 67. Factor 128/7*o - g*o**2 + 2/7*o**3 - 192/7.
2*(o - 6)*(o - 4)**2/7
Let i(j) = 16*j**3 + 1600*j**2 - 5328*j - 7172. Let z(m) = -9*m**3 - 889*m**2 + 2960*m + 3983. Let a(y) = 11*i(y) + 20*z(y). Factor a(n).
-4*(n - 4)*(n + 1)*(n + 48)
Suppose 4*v = -4*j + 108, -37*j + v = -34*j - 73. Suppose 0 = -5*f - j, -5*f = 6*u - u + 15. Factor 2/13*y**u - 16/13 - 4/13*y.
2*(y - 4)*(y + 2)/13
Let w = -127 + 131. Suppose 4 = -w*i + 4*p, 0 = p + 2*p - 9. Suppose 9*n**3 + n**4 - 3*n**i - n**4 - 6*n**4 + 0*n**4 = 0. What is n?
0, 1/2, 1
Let n(i) = 667*i + 12675. Let u be n(-19). Let 2/3*l**5 - 4/3*l**3 + 4/3 + 2/3*l + 4/3*l**4 - 8/3*l**u = 0. Calculate l.
-2, -1, 1
Let t = 494 - 1474/3. Suppose 2*p + 12 = -3*r, -397*p = -r - 401*p - 24. Solve -4/3*h**4 - t*h + 44/3*h**2 + r + 16/3*h**5 - 16*h**3 = 0 for h.
-2, 0, 1/4, 1
Let h(g) be the second derivative of -g**7/42 + 2*g**6/15 - 3*g**5/20 - g**4/3 + 2*g**3/3 + 20*g - 5. Factor h(l).
-l*(l - 2)**2*(l - 1)*(l + 1)
Let f be 8/(4/32*2). Factor 14 - 36*j - 28*j**2 - f + 10.
-4*(j + 1)*(7*j + 2)
Let k(c) = -2*c**3 + 2*c**2 + 2*c - 2. Let p(q) = -28*q**3 + 36*q**2 + 3144*q - 560. Let l(b) = 8*k(b) + p(b). Factor l(s).
-4*(s - 9)*(s + 8)*(11*s - 2)
Let x = -200 - -209. Suppose -x*r = -42 + 24. Factor 0 + 3/11*y**3 - 1/11*y**4 + 1/11*y - 3/11*y**r.
-y*(y - 1)**3/11
Let u(t) be the second derivative of -t**5/38 + 241*t**4/57 - 949*t**3/57 + 472*t**2/19 - 1758*t. Solve u(v) = 0 for v.
1, 472/5
Let v be -1*16/(-4)*-1. Let b be 4/(-8) + (-2 - 2386/v). Suppose 24*f**3 - 65*f**2 - 151*f**2 + 864*f - 115 - 587 - b - f**4 = 0. What is f?
6
Let u(z) be the third derivative of -23*z**5/180 - 61*z**4/24 + 4*z**3/9 - 3386*z**2 - z. Solve u(w) = 0 for w.
-8, 1/23
Let 32/3*w - 8/3 + 38/3*w**3 - 14/3*w**4 + 2/3*w**5 - 50/3*w**2 = 0. What is w?
1, 2
Let f(b) be the second derivative of b**4/102 - 29*b**3/51 + 154*b**2/17 - 1408*b. Factor f(l).
2*(l - 22)*(l - 7)/17
Let r(q) = -23*q - 19. Let o = 822 + -823. Let h be r(o). Factor -2/3*z + 1/3 + 2/3*z**3 + 0*z**2 - 1/3*z**h.
-(z - 1)**3*(z + 1)/3
Suppose -2*m + v - 29 = -46, -5*v + 45 = 3*m. Let g(r) be the first derivative of -m*r + 105/2*r**4 + 33 + 15/2*r**2 + 235/3*r**3. Factor g(p).
5*(p + 1)*(6*p - 1)*(7*p + 2)
Let -46*y + y + 35 + 23*y - 218*y - 278 + 3*y**2 = 0. Calculate y.
-1, 81
Let w(h) be the first derivative of -2*h**6/75 - 18*h**5/5 - 135*h**4 - 59*h + 156. Let f(y) be the first derivative of w(y). Suppose f(n) = 0. Calculate n.
-45, 0
Let z(d) be the second derivative of -3*d**5/80 - 915*d**4/16 - 1827*d**3/8 - 2739*d**2/8 - 4985*d. Solve z(p) = 0.
-913, -1
Let c = -1030 - -1035. Let w be c + (-4)/30*35. Factor 2*o**3 + 3*o**2 + 0 + 4/3*o + w*o**4.
o*(o + 1)**2*(o + 4)/3
Let y(r) be the first derivative of r**4/2 - r**3/3 - r**2/2 + 26. Let s(g) = -4*g**3 + 2*g**2 + 3*g. Let i(c) = 5*s(c) + 15*y(c). What is b in i(b) = 0?
0, 1/2
Let 36504 - 817*a**3 - 288*a**2 + 4212*a + 268*a**3 + 262*a**3 + 291*a**3 = 0. What is a?
-6, 39
Let o(a) be the third derivative of -17/1050*a**7 + 1/420*a**8 + 134*a**2 + 0*a**4 - 1/75*a**5 + 1/30*a**6 + 0*a**3 + 0*a + 0. Factor o(k).
k**2*(k - 2)**2*(4*k - 1)/5
Let i(b) be the third derivative of b**5/72 + 845*b**4/12 + 142805*b**3 + 1093*b**2. Factor i(k).
5*(k + 1014)**2/6
Let t(c) = -c**3 - 69*c**2 + 528*c - 1368. Let b(v) = -3*v**3 - 276*v**2 + 2112*v - 5466. Let w(q) = 4*b(q) - 15*t(q). Factor w(x).
3*(x - 8)**2*(x - 7)
Let x = 213 + -189. Let -r**4 + 36*r**2 + x*r**2 + r**3 - 58*r**2 = 0. What is r?
-1, 0, 2
Suppose -2/3*v**4 + 92/3*v + 40/3 + 70/3*v**2 + 17/3*v**3 - 1/3*v**5 = 0. Calculate v.
-2, -1, 5
Let q(d) be the first derivative of -d**6/2 - 168*d**5/5 - 1617*d**4/2 - 7772*d**3 - 37587*d**2/2 - 17340*d + 6039. Determine j, given that q(j) = 0.
-20, -17, -1
Factor -8/11*j**2 + 1008/11 - 4030/11*j.
-2*(j + 504)*(4*j - 1)/11
Let o be (-6)/7 + 9741/21. Let g = o - 923/2. Factor -g*k**2 + 1/4*k + 1/4.
-(2*k - 1)*(3*k + 1)/4
Suppose 18 = -2*t + 5*f, 29 = t + 5*f - 7. Let g(q) be the second derivative of -1/120*q**t + 1/48*q**4 + 1/24*q**3 + 0*q**2 + 0 - 1/80*q**5 - 2*q. Factor g(l).
-l*(l - 1)*(l + 1)**2/4
Factor 91/6*k**3 - 1/6*k**4 + 226*k - 168 - 302/3*k**2.
-(k - 84)*(k - 3)*(k - 2)**2/6
Let g(p) be the second derivative of 4/3*p**2 + 7 + 2*p - 8/27*p**3 + 1/54*p**4. Factor g(c).
2*(c - 6)*(c - 2)/9
Let d(h) be the second derivative of h**7/5040 - h**6/80 + 17*h**5/240 + h**4/12 + 3*h**2 - h + 5. Let f(c) be the third derivative of d(c). Factor f(b).
(b - 17)*(b - 1)/2
Let c(u) = 10*u**4 + 86*u**3 + 43*u**2 - 74*u - 13. Let w(p) = 5*p**4 + 42*p**3 + 21*p**2 - 38*p - 6. Let z(t) = -6*c(t) + 13*w(t). Factor z(q).
5*q*(q - 1)*(q + 2)*(q + 5)
Let q(n) be the third derivative of n**6/600 - 11*n**5/20 - 167*n**4/60 + 3*n**2 + 216. Let q(d) = 0. Calculate d.
-2, 0, 167
Determine h, given that 84/5*h**3 + 306/5*h**2 + 24/5*h - 6/5*h**4 - 408/5 = 0.
-2, 1, 17
Let n(u) = 2*u**3 - 11*u**2 - 3*u + 48. Let f be n(5). Let g be (-1 - (17 + -16))/((-7)/f). Factor -12/7*r**2 - 2/7*r**3 + 0 - g*r.
-2*r*(r + 2)*(r + 4)/7
Let q(l) be the first derivative of 2/3*l**3 + l**2 + 17 - 12*l. Factor q(h).
2*(h - 2)*(h + 3)
Let u(x) be the first derivative of x**5/114 - 37*x**4/228 + 14*x**3/57 + x**2 + 9*x - 7. Let l(v) be the second derivative of u(v). Solve l(w) = 0.
2/5, 7
Let t(q) be the second derivative of q**5/200 + q**4/10 + 13*q**3/20 + 7*q**2/5 + 84*q. What is n in t(n) = 0?
-7, -4, -1
Let x(r) be the first derivative of -2*r**3/9 + 75*r**2 + 908*r/3 + 204. Factor x(t).
-2*(t - 227)*(t + 2)/3
Let m be (-9 + 224/24)*108. Let d be ((-9)/(-15))/(1 + (-24)/m). Factor 0 + d*z**3 + 0*z - 3/5*z**5 + 0*z**4 - 6/5*z**2.
-3*z**2*(z - 1)**2*(z + 2)/5
Let x(q) be the first derivative of -19/6*q**4 + 361/3*q**3 - 19 + 1/30*q**5 - 6859/3*q**2 + 130321/6*q. Suppose x(w) = 0. Calculate w.
19
Let p(t) = 2*t**4 - 24*t**3 + 28*t**2 - 40*t + 4. Let x(c) = c**3 + c**2 + 10*c - 1. Let n(y) = -p(y) - 4*x(y). Factor n(r).
-2*r**2*(r - 8)*(r - 2)
Suppose -405618*d + 155618*d - 1 - 2122*d**3 + 2000*d**2 + 2118*d**3 + 1 = 0. Calculate d.
0, 250
Let k(o) be the first derivative of 4*o**5/65 + o**4/26 - 22*o**3/39 - 4*o**2/13 + 24*o/13 - 654. Solve k(q) = 0 for q.
-2, -3/2, 1, 2
Let p = 27054 + -27052. Let l(i) be the first derivative of -4/9*i**p - 10/27*i**3 + 18 + 0*i. Factor l(x).
-2*x*(5*x + 4)/9
Let k = -2086 - -2098. Let a(d) = -d**3 + 2*d**2 + 122*d - 21. Let i be a(k). Factor 0*y + 3/4*y**2 - 1 + 1/4*y**i.
(y - 1)*(y + 2)**2/4
Suppose 5*j = 2*a - 25, -3*j = 5*a - 14 - 64. Let s be (5/a)/((-2)/(-12)). Factor 12 - 10*w**2 - s + 10*w**3 + 5*w - 15*w**3.
-5*(w - 1)*(w + 1)*(w + 2)
Factor 184 - 5*p**3 + 196 + 164 + 200*p**2 + 34 - 740*p + 142.
-5*(p - 36)*(p - 2)**2
Let w = 54414 + -54411. Find k, given that 16*k**w + 47/2*k**2 + 2*k**4 - 5/4*k**5 + 53/4*k + 5/2 = 0.
-1, -2/5, 5
Let g(o) = -334*o + 1673. Let u be g(5). Let j(w) be the third derivative of -3/110*w**5 + 4/11*w**u + 0 + 0*w - 2*w**2 + 0*w**4 + 1/220*w**6. Factor j(c).
6*(c - 2)**2*(c + 1)/11
Let m(d) be the first derivative of 12/7*d**2 - 1/2*d**4 + 8/3*d**3 + 0*d + 49 - 2/7*d**5. Find v, given that m(v) = 0.
-3, -2/5, 0, 2
Factor -20 - 306/5*k**2 - 2/5*k**4 + 302/5*k + 106/5*k*