45 + 4*v**2/15 + 1810. Factor k(u).
2*u*(u + 2)**2/15
Let b(l) be the second derivative of l**6/270 + 13*l**5/180 + 11*l**4/108 - 13*l**3/54 - 2*l**2/3 + 451*l + 6. Let b(i) = 0. Calculate i.
-12, -1, 1
Let q(s) be the second derivative of 49*s**6/180 + 7*s**5/24 - 2*s**4/3 - s**3 - 2*s + 770. Factor q(v).
v*(v - 1)*(7*v + 6)**2/6
Let o(a) be the first derivative of -7*a**6/30 + 2*a**5/15 + 7*a**4/6 - 4*a**3/3 - 105*a**2/2 + 26. Let p(g) be the second derivative of o(g). Factor p(l).
-4*(l - 1)*(l + 1)*(7*l - 2)
Let b(w) = -6*w - 1. Let m be b(-1). Let k be ((13600/(-1904))/(2/4))/(102/(-21)). Factor -32/17*p - 14/17*p**4 - k*p**2 - 8/17 - 38/17*p**3 - 2/17*p**m.
-2*(p + 1)**3*(p + 2)**2/17
Let w(y) be the second derivative of -y**5/10 + 2*y**4/3 + 32*y**3/3 - 1430*y - 2. Factor w(a).
-2*a*(a - 8)*(a + 4)
Let n = 2986/6279 + 662/483. Find l, given that -4/13 - n*l**4 + 58/13*l**3 - 8/13*l**2 - 22/13*l = 0.
-1/3, -1/4, 1, 2
Let k(s) be the first derivative of 5*s**4 - 595*s**3 + 1100*s**2 - 12283. Suppose k(w) = 0. Calculate w.
0, 5/4, 88
Suppose -5*v = -0*l + l - 13, v + 3*l = -3. Determine h, given that 14*h**v - 8*h**5 - 12*h**2 + 7*h**5 - h**5 = 0.
-3, 0, 1, 2
Let j(i) be the first derivative of i**6/6 + 2*i**5/5 - 27*i**4/4 - 8*i**3/3 + 34*i**2 + 48*i - 2107. Determine g, given that j(g) = 0.
-6, -1, 2, 4
Determine t, given that -105*t**5 - 602*t**2 + 187 + 301*t**5 - 562*t**2 - 84*t**4 - 416*t - 1076*t**3 - 235 = 0.
-1, -2/7, 3
Factor -43*n**3 + 38*n**2 - 45*n**3 + 20*n - 45*n**3 - 37*n**3 + 188*n**3.
2*n*(n + 1)*(9*n + 10)
Let u(m) be the first derivative of 25*m**3/3 - 6615*m**2/2 - 2650*m + 2119. Factor u(v).
5*(v - 265)*(5*v + 2)
Let q(a) = -a**2 + 330*a + 9079. Let t(s) = s**2 - 1. Let c(l) = q(l) + 4*t(l). Solve c(z) = 0.
-55
Let l(f) be the first derivative of f**5/20 + 53*f**4/16 - 9*f**3/2 - 333. Let l(r) = 0. What is r?
-54, 0, 1
Let q = 6/226153 - -452264/1583071. Factor q*h**3 - 2/7*h - 4/7 + 4/7*h**2.
2*(h - 1)*(h + 1)*(h + 2)/7
Suppose 2*m + 10 = g, 8 = 21*g - 25*g. Let f be (9 + -17)/(-2 - 7/m). Factor f*o**3 - 12*o**2 - 3/5 + 24/5*o.
3*(2*o - 1)**2*(4*o - 1)/5
Let f(u) = u**2 - u. Let d = 36 + -42. Let t = d - -4. Let k(x) = x**2 + 38*x + 108. Let i(q) = t*f(q) - k(q). Find b, given that i(b) = 0.
-6
Let f = 1/25982 + 103925/77946. Let -17/3*w**2 + 7/6*w**5 + 13/3*w**4 + f + 13/6*w**3 - 10/3*w = 0. Calculate w.
-2, -1, 2/7, 1
Factor -52/3*x**3 - 1920*x**2 + 0 + 4/3*x**4 - 21168*x.
4*x*(x - 49)*(x + 18)**2/3
Suppose -3156*u = -575*u - 49887 - 368235. Determine m, given that 0 - 23*m**4 + u*m + 103/2*m**3 + 288*m**2 + 3/2*m**5 = 0.
-2, -2/3, 0, 9
Let z(m) = -140*m**3 + 4632*m**2 - 1294*m - 14. Let a(n) = -28*n**3 + 928*n**2 - 259*n - 3. Let y(s) = -14*a(s) + 3*z(s). Factor y(v).
-4*v*(v - 32)*(7*v - 2)
Let h be ((-16)/6 - -3) + 0. Let w be (-6)/9 - (52/12 + -4) - -4. Factor h*q**4 - 1/3*q**w + 0*q + 0*q**2 + 0.
q**3*(q - 1)/3
Let f(t) be the second derivative of -t**5/5 - 5*t**4/3 + 44*t**3/3 - 32*t**2 + 946*t - 1. Factor f(d).
-4*(d - 2)*(d - 1)*(d + 8)
Determine l, given that -144*l**2 - 116*l**2 - 196*l + 270*l + 173*l + 25*l**3 - 160 + 253*l = 0.
2/5, 2, 8
Factor -4/7 - 1183744/7*n**3 - 169728*n**2 - 4356/7*n.
-4*(n + 1)*(544*n + 1)**2/7
Let n be (-336)/315 - 2162/(-705). Factor -4/7*r**4 + 20/7*r**3 + 0*r + 0 + 24/7*r**n.
-4*r**2*(r - 6)*(r + 1)/7
Let s = -2166574/63 + 240760/7. What is b in 10/9*b - 2*b**3 + 0 + s*b**4 + 8/9*b**5 - 38/9*b**2 = 0?
-5, -1, 0, 1/4, 1
Let f(a) = -5*a**3 + 14*a**2 - 44*a - 14. Let d(z) = 3*z**3 - 6*z**2 + 23*z + 8. Let l(m) = 7*d(m) + 4*f(m). Find n, given that l(n) = 0.
-15, 0, 1
Suppose 84 - 143*m - 371/2*m**2 + 5/2*m**4 + 44*m**3 = 0. What is m?
-21, -1, 2/5, 4
Let w = 86376 - 86374. Solve -2/3*c + 1/3*c**w - 5 = 0.
-3, 5
Let f(v) be the first derivative of 5*v**4/4 - 2020*v**3/3 + 102010*v**2 + 1286. Factor f(i).
5*i*(i - 202)**2
Suppose 14*x - 1780 = -6*x. Factor -x*a**2 + 421*a + 3*a**4 + 137*a**2 - 3 + 21*a**3 + 3 - 385*a.
3*a*(a + 2)**2*(a + 3)
Let h(z) = z**2 + 10*z + 8. Let x be h(-2). Let t be x/2*4/(-8). Factor -1 - 1/3*k**t - 4/3*k.
-(k + 1)*(k + 3)/3
Let u(z) be the third derivative of -z**7/70 - 9*z**6/10 - 67*z**5/20 + 9*z**4/2 + 34*z**3 - 2354*z**2. Let u(h) = 0. Calculate h.
-34, -2, -1, 1
Let u be ((-1521)/756 - -2)/((-20)/14). Let i(k) be the third derivative of 1/75*k**5 - 1/5*k**3 + 1/600*k**6 + 10*k**2 + 0 + 0*k + u*k**4. Factor i(h).
(h - 1)*(h + 2)*(h + 3)/5
Suppose 52*d - 47*d = -z + 45, 10*d - 90 = 3*z. Factor -1/3*g**2 + 0 + z*g.
-g**2/3
Let q(o) be the second derivative of 0 - 1/6*o**3 + 66*o + 0*o**2 - 7/120*o**5 - 23/72*o**4. Suppose q(h) = 0. What is h?
-3, -2/7, 0
Let o(a) = -16*a**3 + 29*a**2 + 2*a + 56. Let k(v) = -33*v**3 + 59*v**2 + 5*v + 126. Let h(u) = 4*k(u) - 9*o(u). Let h(y) = 0. What is y?
0, 1/12, 2
Let u = 50 + -42. Suppose 2*w - u = -2*w. Factor 0*a**w + 31 + 5*a**2 - 51.
5*(a - 2)*(a + 2)
Find g such that 2*g**3 + 24/11*g**2 - 130/11*g - 12/11 = 0.
-3, -1/11, 2
Let c(t) = -4*t**2. Let p(x) = -x**2 - x + 31. Let v be p(5). Let y(w) = -15*w**2 + 280*w + 3920. Let g(o) = v*y(o) - 5*c(o). Factor g(z).
5*(z + 28)**2
Let l be 3/(-15) + (-31)/(-5). Suppose -m = l*m - 70. Let 10*x**2 + 8*x**5 + 8*x - 13*x**5 - 2*x**4 - m*x**3 + 7*x**5 - 8 = 0. What is x?
-2, -1, 1, 2
Factor 17489*p + 610*p**4 - 606*p**4 + 4292*p**2 - 9*p**3 - 252*p**3 - 19*p**3 + 4415*p.
4*p*(p - 37)**2*(p + 4)
Let u be (-1146)/(-45) - (-18 + (-4020)/(-225)). Factor -u - 2/5*h**2 - 32/5*h.
-2*(h + 8)**2/5
Let k(g) be the first derivative of g**4/120 - g**3/20 - 57*g - 22. Let l(x) be the first derivative of k(x). Suppose l(z) = 0. What is z?
0, 3
Let s(q) = 13*q - 1. Let g be s(1). Suppose -174 = -60*v + 2*v. Factor 63*k**3 - 11*k - g*k**2 + 3*k**4 - 60*k**v - k.
3*k*(k - 2)*(k + 1)*(k + 2)
Let y(h) be the second derivative of 71*h + 35/12*h**4 + 0 - 40*h**2 - 45*h**3. Determine g so that y(g) = 0.
-2/7, 8
Let t(z) = 3*z + 2. Let w be t(0). Suppose -18 = -3*x + w*c, -14 + 6 = x + 4*c. Factor 46*j**3 - 94*j**3 + 12*j**2 + 48*j**3 - 8*j - x*j**4.
-4*j*(j - 1)**2*(j + 2)
Let f(d) = -d**4 - d**3 - 3*d**2. Let x(t) = -5*t**4 - 475*t**3 + 9495*t**2 + 62965*t - 72030. Let c(u) = 10*f(u) - x(u). Let c(m) = 0. What is m?
-6, 1, 49
Let p(o) = -o**2 - 45*o - 32. Let q(g) = g**2 + 90*g + 62. Let y be (1 - (1 + -2))*(4 - 2). Let a(f) = y*q(f) + 9*p(f). Factor a(u).
-5*(u + 1)*(u + 8)
Let i(z) be the first derivative of 184*z**6/21 - 1228*z**5/35 + 30*z**4 + 580*z**3/21 - 304*z**2/7 + 48*z/7 - 5833. Find r such that i(r) = 0.
-3/4, 2/23, 1, 2
Suppose -44*w - 8484 = -16*w. Let k = w - -308. Suppose -4/5*i**3 + 0*i**2 + 1/5*i**k + 0*i + 0 + 0*i**4 = 0. What is i?
-2, 0, 2
Suppose x = a + 54, 5*x + a - 143 = 139. Factor -x*f**3 + 4*f**3 + 8*f - 28*f**4 + 20*f + 20*f + 32*f**2.
-4*f*(f - 1)*(f + 2)*(7*f + 6)
Suppose -m = -32 - 241. Suppose 4*f + 3 = 5*z, m*z = 4*f + 278*z - 27. Determine h, given that -35/2*h**4 - 55/2*h**f - 25/2*h**2 - 5/2*h**5 + 0 + 0*h = 0.
-5, -1, 0
Let k(o) be the second derivative of o**7/315 - 4*o**6/45 + 77*o**5/150 + 121*o**4/45 + 745*o. Suppose k(r) = 0. Calculate r.
-2, 0, 11
Let o(q) = -q**4 + q**3 - 7*q**2 - q + 2. Let y(k) = -7*k**4 - 108*k**3 - 3403*k**2 - 6390*k - 3124. Let a(l) = 6*o(l) - y(l). Find m, given that a(m) = 0.
-56, -1
Suppose 2*l - u + 0 - 14 = 0, -3*u + 24 = 5*l. Let o be 33/l - 2/(-4). Factor 57*v**3 - 48*v**3 - o*v**4 + 9*v**4 + 6*v**2.
3*v**2*(v + 1)*(v + 2)
Suppose 0 = 5*q - 2*u - 133, -12*u = -8*u + 16. Let x(d) be the first derivative of q + 40*d + 25/3*d**3 + 55*d**2. Factor x(j).
5*(j + 4)*(5*j + 2)
Let s(i) be the first derivative of -4*i**3/15 + 268*i**2/5 - 416*i + 496. Factor s(f).
-4*(f - 130)*(f - 4)/5
Let x(y) = y**2 - 5*y - 8. Let f = -224 + 220. Let n(r) = -6*r**2 + 25*r + 41. Let h(k) = f*n(k) - 22*x(k). Solve h(v) = 0 for v.
-3, -2
Suppose 2231*b + 1 + 2 = -0 + 3. Solve 6*y + b - 1/2*y**5 + 2*y**2 - 9/2*y**3 - 3*y**4 = 0.
-3, -2, 0, 1
Let l be (-18)/(-10)*(-7410)/(-684). Let -9/2*i**3 + l*i - 9 - 6*i**2 = 0. Calculate i.
-3, 2/3, 1
Let h = 438 + -406. Let a be (3 + -5 + (-68)/h)*-2. Find m such that -a*m**2 - 9*m + 21/4*m**4 + 9*m**3 + 3 = 0.
-2, -1, 2/7, 1
Factor 4/7*s**3 - 66/7*s + 4 + 18/7*s**2.
2*(s - 2)*(s + 7)*(2*s - 1)/7
Let