*2 + g*l = 0. What is l?
-7, -1
Let p(w) = 2*w**3 + 8*w**2 + 14*w + 4. Let v = 59 + -57. Let d(t) = 15 + 22*t**v - t**3 + 9*t**3 + 56*t + 9*t**2. Let k(i) = 2*d(i) - 9*p(i). Factor k(l).
-2*(l + 1)**2*(l + 3)
Let c(w) = w**3 + 2*w**2 - 8*w - 4. Let b be c(-3). Factor 6*a**2 + 17*a**2 + 8*a - 6*a**2 + 2 - b*a**2.
2*(a + 1)*(3*a + 1)
Let k be (-8 - (-3040)/48)/((-16)/1002). Let f = k - -3484. Find l, given that 6 - 9/2*l**2 + 165/4*l**3 - 21*l + f*l**4 = 0.
-2, -1, 2/5
Suppose -2*n + 3*b + 2 = 5, -2 = 5*n - 2*b. Let l(q) be the second derivative of 9*q + 0 + 1/6*q**4 - 2/3*q**3 + n*q**2. Factor l(c).
2*c*(c - 2)
Let i(w) = 7*w**2 - 1146*w + 335235. Let k(g) = g**2 + 2*g - 1. Let x(b) = i(b) - 6*k(b). Suppose x(a) = 0. What is a?
579
Let o(v) be the first derivative of -v**3/3 - 11*v**2 - 120*v + 1243. Factor o(d).
-(d + 10)*(d + 12)
Let b be 27/189*(6 - -1) + 3. Solve 64 + 15*r**3 - 19*r**2 - 16*r - r**b + 2*r**3 + 95 - 139 - r**5 = 0 for r.
-5, -1, 1, 2
Factor -727*f**4 + 1448*f**4 - 723*f**4 - 2652*f**2 - 88434 - 108*f**3 - 25432*f - 12*f**3.
-2*(f + 9)*(f + 17)**3
Let j = 537 - -584. Let v = 1125 - j. Let -2/5*g**v + 2*g**2 + 0*g**3 - 8/5 + 0*g = 0. Calculate g.
-2, -1, 1, 2
Suppose 0 = -13*u + 135 - 5. Factor 17*j + u*j**2 - 5*j**5 + 10*j**3 - 5 - 5*j**4 - 15*j - 7*j.
-5*(j - 1)**2*(j + 1)**3
Let i(c) = -61*c - 305. Let m be i(-5). Let s(f) be the third derivative of 0 + m*f - 1/27*f**3 - 1/90*f**5 - 1/27*f**4 - 22*f**2. Let s(j) = 0. Calculate j.
-1, -1/3
Let h(b) be the first derivative of b + 1/36*b**6 - 2/15*b**5 - 1/2*b**4 - 89 - 1/9*b**3 + 11/12*b**2. Factor h(p).
(p - 6)*(p - 1)*(p + 1)**3/6
Suppose 5 - 4 = -p. Let d be 54/(-648)*((-1 - 0) + p). Factor d*h**5 + 0 + 0*h**2 - 1/3*h**4 + 0*h**3 + 0*h.
h**4*(h - 2)/6
Let n(h) be the third derivative of -h - 1/28*h**4 + 0 - 19*h**2 - 1/210*h**5 + 10/21*h**3. Find x, given that n(x) = 0.
-5, 2
Suppose -320 = 4*u + 496. Let i = -204 - u. Factor 0*q + i*q**3 - 2/5*q**5 + 0 + 0*q**2 + 2/5*q**4.
-2*q**4*(q - 1)/5
Let g(b) be the first derivative of -1/8*b**4 - 13/30*b**3 + 0*b - 3/10*b**2 + 40. Determine t so that g(t) = 0.
-2, -3/5, 0
Factor -2/5*l**3 + 0 + 0*l**2 + 8/5*l.
-2*l*(l - 2)*(l + 2)/5
Let w be (-8)/34 + (-5335)/(-1649). Suppose 27/7*j**2 + 0 + 0*j - 3/7*j**w = 0. Calculate j.
0, 9
Let a(p) be the third derivative of -p**8/112 + p**7/10 - p**6/4 - p**5/10 + 11*p**4/8 - 5*p**3/2 + 100*p**2. Factor a(d).
-3*(d - 5)*(d - 1)**3*(d + 1)
Let w(q) be the second derivative of 5*q**7/168 - q**6/12 + q**5/10 - q**4/2 + 53*q. Let u(l) be the third derivative of w(l). Factor u(c).
3*(5*c - 2)**2
Suppose 3*z = 15*z - 768. Suppose -v + 12 = -2*g, -5*g = -3*v + 95 - z. Find r, given that -v*r**2 - 10/7 - 2/7*r**3 - 22/7*r = 0.
-5, -1
Let v(q) be the first derivative of -15/14*q**2 - 1/7*q**3 + 36 + 18/7*q. Factor v(y).
-3*(y - 1)*(y + 6)/7
Determine r so that -888/5*r - 544/5*r**2 + 2/5*r**4 - 448/5 - 102/5*r**3 = 0.
-2, -1, 56
Let j(u) be the second derivative of u**6/120 - 39*u**5/80 - 87*u**4/16 - 135*u**3/8 - 2*u - 3081. Let j(q) = 0. What is q?
-3, 0, 45
Let z be -1 - ((-2)/(-2) + -20 + 2). Let p(x) = -20*x**2 + 32*x + 20. Let c(r) = 6*r**2 - 11*r - 7. Let y(l) = z*c(l) + 5*p(l). Factor y(n).
-4*(n + 1)*(n + 3)
Let q(x) be the second derivative of x**6/180 - 9*x**5/20 + 155*x**4/24 + 1922*x**3/9 - 7759*x. Factor q(v).
v*(v - 31)**2*(v + 8)/6
Solve -7995/4*h - 8405/4 - 5/4*h**3 + 405/4*h**2 = 0 for h.
-1, 41
Let j(a) be the second derivative of -a**4/54 - 26*a**3/27 - 56*a**2/3 + 914*a. Factor j(g).
-2*(g + 12)*(g + 14)/9
Solve -x**3 + 42*x**2 - 13*x**2 - 7*x**2 - 8*x**2 - 12*x**2 = 0 for x.
0, 2
Factor o**2 - 30013 - 30*o - 5*o**2 + 30213 + 2*o**2.
-2*(o - 5)*(o + 20)
Factor -7*z**2 + 238*z**3 - 18*z**3 + 5*z**4 + 6*z**4 - 53*z**2 - 46*z**4.
-5*z**2*(z - 6)*(7*z - 2)
Let g(n) be the second derivative of n**6/15 - 3*n**5/5 + 4*n**4/3 + 2*n**3 - 9*n**2 - 5570*n. Factor g(r).
2*(r - 3)**2*(r - 1)*(r + 1)
Let d(z) be the first derivative of -4*z**3/3 + 36*z**2 + 252*z + 257. Factor d(o).
-4*(o - 21)*(o + 3)
Let t(f) be the first derivative of -f**5 + 45*f**4/2 - 95*f**3 - 430*f**2 - 480*f + 1941. Let t(b) = 0. What is b?
-1, 8, 12
Let j = -174 + 175. Suppose 9 = 3*x - n, x + 4*n + 11 = j. Factor -8/3*t - 4 + 4/3*t**x.
4*(t - 3)*(t + 1)/3
Let 1308/5*s + 4/5*s**2 + 0 = 0. Calculate s.
-327, 0
Let s be -59*(-4 + 5) + -1. Let v be (8/(-10))/(-3*(-4)/s). Factor 3*i**5 - 3*i - 2*i**4 - 5*i**5 + 4*i**2 - 1 - 1 + v*i**3 + i.
-2*(i - 1)**2*(i + 1)**3
Let p(u) = 9*u**3 + 3*u**2 + 4*u - 5. Let d(v) = 17*v**3 + 1 - 18*v**3 + v**2 + 0. Let w(q) = -5*d(q) - p(q). Factor w(c).
-4*c*(c + 1)**2
Let j(v) be the third derivative of -v**7/105 + 17*v**6/84 - 109*v**5/70 + 395*v**4/84 - 50*v**3/21 - 1031*v**2. What is n in j(n) = 0?
1/7, 2, 5
Let x = 298 - 284. Factor 154 - 316 - x*h**2 + 2*h**3 + 162.
2*h**2*(h - 7)
Let t = -1122435/7 + 160076. Let d = t - -272. Determine s, given that d*s**3 + 0 + 3/7*s - 4/7*s**2 = 0.
0, 1, 3
Let i be 4/(-4) - -12*8/6. Factor -4*x**4 - 9*x**3 + x**3 - i*x**2 - 12*x**3 - x**4.
-5*x**2*(x + 1)*(x + 3)
Let z(t) = -t**3 + 11*t**2 - 11*t + 13. Let g be z(8). Let p = g + -112. Factor 5 - 8 + p*j**2 + 43 - 45*j.
5*(j - 8)*(j - 1)
Factor 5098564/5 + 4/5*i**2 - 9032/5*i.
4*(i - 1129)**2/5
Find c, given that 0 + 6/7*c**4 + 6/7*c**2 - 1/7*c**5 + 0*c - 11/7*c**3 = 0.
0, 1, 2, 3
Factor 68/5*s**3 - 112/5*s**2 - 8/5*s**4 + 52/5*s + 0.
-4*s*(s - 1)**2*(2*s - 13)/5
Factor -64/5 - 167/5*s**2 + 226/5*s + s**3.
(s - 32)*(s - 1)*(5*s - 2)/5
Let o(y) = 34*y**3 + 3 - 4*y**4 - 14*y**3 - 15*y**3 - 2*y**2 + y. Let l(b) = 9*b**4 - 11*b**3 + 5*b**2 - 3*b - 7. Let v(u) = 3*l(u) + 7*o(u). Factor v(g).
-g*(g - 2)*(g - 1)*(g + 1)
Let f(m) be the first derivative of -7*m**4/8 + 115*m**3/3 + 481*m**2/4 + 122*m + 1000. Factor f(d).
-(d + 1)**2*(7*d - 244)/2
Let g(v) be the third derivative of -v**5/160 + 5*v**4/2 - 400*v**3 + 75*v**2. Factor g(z).
-3*(z - 80)**2/8
Let y be 1/(-7) + 195/(-105) - -6. Let v(u) be the first derivative of -11 + 2/5*u**3 + 3/10*u**2 + 3/20*u**y + 0*u. Let v(l) = 0. What is l?
-1, 0
Let l(r) be the second derivative of -8*r**5/5 - 79*r**4/3 - 124*r**3/3 + 18*r**2 - 46*r + 25. Let l(t) = 0. Calculate t.
-9, -1, 1/8
Let g(b) = -12 + 18*b - 11*b**2 - 6*b**2 - 5*b**2 + 20*b**2. Let d(x) = -x + 1. Suppose -4*h = -2*h - 24. Let c(f) = h*d(f) + g(f). Suppose c(w) = 0. What is w?
0, 3
Let k(y) be the third derivative of -2/45*y**5 + 0*y + 112*y**2 + 13/12*y**4 + 0 + 10/9*y**3. Factor k(i).
-2*(i - 10)*(4*i + 1)/3
Suppose -4/3 - 52/3*s - 169/3*s**2 = 0. Calculate s.
-2/13
Let c(x) be the second derivative of 3*x**5/4 - 215*x**4/12 + 65*x**3 + 180*x**2 + 1655*x. Factor c(v).
5*(v - 12)*(v - 3)*(3*v + 2)
Let w(u) = 3*u - 2. Let g be w(-1). Let a = g - -9. Factor 0*m**3 - 4*m**2 - a*m**3 + 81*m**4 - 82*m**4.
-m**2*(m + 2)**2
Let q(n) be the second derivative of n**6/40 - 3*n**5/80 - 15*n**4/16 - 23*n**3/8 - 15*n**2/4 + 852*n. Suppose q(o) = 0. What is o?
-2, -1, 5
Let p = -26779 + 26783. Let v(w) be the first derivative of 1/30*w**5 + 28 + w + 5/24*w**p - 7/18*w**3 - 5/12*w**2. Find j, given that v(j) = 0.
-6, -1, 1
Let t(n) be the second derivative of 17*n**3/6 + 205*n**2/2 - 52*n. Let v be t(-12). Find p, given that v + p + 1/4*p**2 = 0.
-2
Suppose 1/7*i**4 - 1872/7*i + 590/7*i**2 - 2511/7 - 48/7*i**3 = 0. Calculate i.
-1, 9, 31
Let g(w) be the third derivative of -w**6/135 + 112*w**5/135 - 215*w**4/36 + 53*w**3/3 + 2*w**2 + 17*w. Factor g(i).
-2*(i - 53)*(2*i - 3)**2/9
Let l(h) = 16*h**2 - 43*h + 3. Let s(z) = 28*z**2 - 85*z + 5. Suppose 3*j + 24 = -3*y, -3*y + 8*j = 3*j. Let c(w) = y*l(w) + 3*s(w). Factor c(x).
4*x*(x - 10)
What is m in 388/9*m**2 + 4/9*m**3 + 28928/9 - 6976/9*m = 0?
-113, 8
Let g(n) be the second derivative of n**5/15 - n**4 - 32*n**3/3 - 33*n**2/2 + 61*n. Let c(w) be the first derivative of g(w). What is d in c(d) = 0?
-2, 8
Let r(v) be the third derivative of -v**5/160 - v**4/32 + 35*v**3/16 + 631*v**2. Factor r(p).
-3*(p - 5)*(p + 7)/8
Let n(o) be the third derivative of o**6/40 - 61*o**5/20 + 120*o**4 - 450*o**3 - 2*o**2 + 388*o. Factor n(w).
3*(w - 30)**2*(w - 1)
Let l(f) = 79*f**2 - 360*f - 432 + 6333*f**3 - 6330*f**3 - 16*f**2. Let b(q) = 2*q**3 + 64*q**2 - 360*q - 432