t t be y(-5). Find l, given that l**2 + 2*l**2 - 64 + t*l - 7*l**2 = 0.
4
Let x(n) be the second derivative of -3*n**5/20 - 569*n**4/4 - 1135*n**3/2 - 1701*n**2/2 + n + 1338. Let x(c) = 0. Calculate c.
-567, -1
Let b(a) = 2*a**4 + a**2 - 4*a. Let l(o) = -10*o**4 - 102*o**3 - 380*o**2 + 16*o. Let i(v) = -4*b(v) - l(v). Factor i(d).
2*d**2*(d + 4)*(d + 47)
Let j(h) be the third derivative of h**6/30 - 32*h**5/15 + 154*h**4/3 - 1568*h**3/3 - 5*h**2 - 10*h + 9. Solve j(m) = 0 for m.
4, 14
Factor 90*h**3 + 0*h + 0 + 3/2*h**5 - 108*h**2 - 21*h**4.
3*h**2*(h - 6)**2*(h - 2)/2
Let a be (-6)/(-60)*(-256)/(-64). Factor 0 + 12/5*f + a*f**3 - 2*f**2.
2*f*(f - 3)*(f - 2)/5
Let a(b) be the second derivative of -b**6/120 - b**5/5 - 3*b**4/2 - 16*b**3/3 - 64*b**2 + 98*b. Let n(m) be the first derivative of a(m). Factor n(x).
-(x + 2)**2*(x + 8)
Let t(o) = o**3 + 84*o**2 + 271*o + 8778. Let q be t(-82). Suppose -v**q + v**2 - 1/5*v**3 + 0*v + 0 + 1/5*v**5 = 0. Calculate v.
-1, 0, 1, 5
Let s(l) be the first derivative of -l**5 + 5*l**4/2 + 20*l**3/3 - 20*l**2 - 8269. Factor s(t).
-5*t*(t - 2)**2*(t + 2)
Let o(n) be the second derivative of -n**6/1080 + n**5/360 + n**3/6 - 6*n**2 - 121*n. Let l(h) be the second derivative of o(h). Factor l(r).
-r*(r - 1)/3
Let c(v) be the second derivative of -v**4/60 - 4*v**3/15 - 7*v**2/10 - 1020*v. Factor c(g).
-(g + 1)*(g + 7)/5
Let m(o) be the first derivative of o**6/420 - o**5/105 - o**4/84 + 2*o**3/21 - 2*o**2 - 68. Let n(t) be the second derivative of m(t). Factor n(b).
2*(b - 2)*(b - 1)*(b + 1)/7
Determine u so that -472/7*u + 4/7*u**2 - 960/7 = 0.
-2, 120
Let n be (-44300)/(-3544)*4/25. Suppose -48/7*f + 0 + 2/7*f**n = 0. Calculate f.
0, 24
Find o, given that -4/5*o**3 - 344/5*o**2 + 4/5*o + 344/5 = 0.
-86, -1, 1
Suppose -3*y - 230 = 7*y. Let z = y - -60. Suppose -5*p + p - z*p**2 + 15*p**2 - 367*p**3 + 349*p**3 = 0. What is p?
-1, -2/9, 0
Let f(t) = 3*t**2 - 24*t + 186. Let o(u) = 3*u**2 - 16*u + 185. Let a(y) = -4*f(y) + 3*o(y). Determine q, given that a(q) = 0.
7, 9
Let c(u) be the first derivative of 9*u**5/5 - 267*u**4/4 - 38*u**3 + 366*u**2 - 360*u - 5872. Let c(q) = 0. Calculate q.
-2, 2/3, 1, 30
Let t(m) be the second derivative of -10*m**2 + 13/9*m**3 + 1/18*m**4 + 0 - 156*m. Factor t(y).
2*(y - 2)*(y + 15)/3
Let q be (-2)/56*-92 + -4. Let d = q - -1. Factor -18/7 + 12/7*o - d*o**2.
-2*(o - 3)**2/7
Solve -2/5*v**2 + 504/5 - 118/5*v = 0.
-63, 4
Let z(f) be the third derivative of 0*f**3 + 11/18*f**6 - 3*f - 9*f**2 - 2/9*f**4 + 68/315*f**7 + 0 - 28/45*f**5. Determine q so that z(q) = 0.
-2, -2/17, 0, 1/2
Let d = -3123 - -3127. Let i(c) be the third derivative of 1/6*c**3 + 0 + 1/60*c**5 - 1/30*c**6 + 0*c + 4*c**2 - 2/315*c**7 + 5/36*c**d. What is w in i(w) = 0?
-3, -1/2, 1
Let n = -170 + 191. Factor -n*t**2 + 19*t**2 + 3*t + t.
-2*t*(t - 2)
Let h(r) = -10*r**3 + 2*r**2 + 9*r + 3. Let f be h(-1). Let q(t) be the second derivative of -t + t**3 - f + 1/2*t**2 + 3/4*t**4. Solve q(o) = 0.
-1/3
Find y such that 0 - 7/10*y**2 + 1/5*y = 0.
0, 2/7
Let l(m) be the third derivative of m**6/40 + 17*m**5/20 + 15*m**4/4 + 2040*m**2. Find c such that l(c) = 0.
-15, -2, 0
Let z(l) be the second derivative of 1/9*l**3 + 4/27*l**4 + 0*l**2 + 0*l**6 - 1/189*l**7 + 114*l + 0 + 1/15*l**5. Solve z(i) = 0.
-1, 0, 3
Let j(s) be the third derivative of 1 + 0*s - 13/72*s**4 + 1/360*s**6 - 1/90*s**5 - 2*s**2 - 5/9*s**3. Find w, given that j(w) = 0.
-2, -1, 5
Let x(y) be the second derivative of 49/24*y**3 - 2*y**2 + 34 + 19/80*y**5 - 1/120*y**6 - 17/16*y**4 + 3*y. Factor x(o).
-(o - 16)*(o - 1)**3/4
Find g, given that 651/4*g**2 + 213/4 - 9/4*g**3 - 855/4*g = 0.
1/3, 1, 71
Let d = 29/73 - -12761/219. Find f, given that d + 2/3*f**3 + 184/3*f + 52/3*f**2 = 0.
-22, -2
Let b(h) be the third derivative of h**8/588 + 2*h**7/735 - h**6/105 + 4*h**2 + 4*h + 57. Solve b(r) = 0.
-2, 0, 1
Let t be (-5)/5*(-2844)/2370. Factor 0 + 3/5*m**4 + 6/5*m - t*m**3 - 3/5*m**2.
3*m*(m - 2)*(m - 1)*(m + 1)/5
What is m in 12*m**4 + 3*m**5 + 49*m**3 - 26*m**2 - 14*m**2 + 10*m**2 - 19*m**3 - 51*m**3 = 0?
-5, -1, 0, 2
Let r = 53/1478 + 17365/10346. Solve 3/7*t**2 + r - 12/7*t = 0 for t.
2
Let f be (-205)/154*(-24)/25 - 1. Let d = 3/35 + f. Suppose -d*t**3 + 4/11*t + 0 + 10/11*t**4 - 10/11*t**2 = 0. What is t?
-1, 0, 2/5, 1
Let c be 22/4*-9*9/(-2673)*24. Factor 44/3*f**3 + 7/3*f**4 + c*f**2 + 0 + 0*f.
f**2*(f + 6)*(7*f + 2)/3
Let p(y) = 8*y**3 - 20*y**2 + 6*y. Let u = 58 + -56. Let d(k) = k**3 - 2*k**2 + k. Let q(t) = u*p(t) - 12*d(t). Factor q(v).
4*v**2*(v - 4)
Let f(m) be the second derivative of -1/30*m**5 - 60*m + 1/6*m**4 + 0*m**2 + 0 - 2/9*m**3. Factor f(l).
-2*l*(l - 2)*(l - 1)/3
Suppose -989/3*a - 1/3*a**2 - 988/3 = 0. What is a?
-988, -1
Suppose 0 = o - 4*g - 55, 2 + 8 = -5*g. Factor 12*a**2 - 17*a**2 - 5 + o*a - 57*a.
-5*(a + 1)**2
Let b be 4 - (28 - -4)/(-4). Let g be 27/b - (1 - (-14)/(-8)). Find a such that 9*a**3 - 3*a**4 - 3*a**2 - a**2 + g*a - a**2 - 4*a**2 = 0.
0, 1
Let k(l) = 2*l**5 - 115*l**4 - 5200*l**3 - 114917*l**2 - 1230326*l - 5026733. Let n(b) = -b**5 - b**2 + 2*b - 1. Let g(f) = k(f) + 3*n(f). Factor g(v).
-(v + 11)*(v + 26)**4
Let a(o) = 2*o**3 - 11*o**2 - 47*o + 14. Let z be a(-3). Determine p so that -3/2 + 1/6*p**z + 0*p = 0.
-3, 3
Let x = 3515 + -3511. Let r(u) be the third derivative of 0 + 0*u + 0*u**5 + 2*u**2 + 0*u**3 + 1/40*u**6 + 0*u**x. Factor r(m).
3*m**3
Let s(t) be the second derivative of -4*t + 2 + 44/3*t**2 + 5*t**3 + 1/18*t**4. Factor s(x).
2*(x + 1)*(x + 44)/3
Let v(g) be the second derivative of -27*g**7/56 - 21*g**6/20 + 57*g**5/80 + 21*g**4/8 + g**3 + 2041*g. Solve v(o) = 0 for o.
-4/3, -1, -2/9, 0, 1
Let p(x) be the second derivative of x**7/231 + 29*x**6/165 + 45*x**5/22 + 511*x**4/66 + 458*x**3/33 + 144*x**2/11 + 2*x - 191. Find h, given that p(h) = 0.
-18, -8, -1
Let z = -8203 - -8205. Let f(u) be the second derivative of 0 + 26*u - 2/21*u**3 + 0*u**4 - 1/7*u**z + 1/35*u**5 + 1/105*u**6. Factor f(j).
2*(j - 1)*(j + 1)**3/7
Suppose 75*r + 14 = 89*r. Let c(b) be the second derivative of -b**2/2 - b. Let o(d) = d**2 - 4*d + 10. Let u(t) = r*o(t) + 6*c(t). Find n, given that u(n) = 0.
2
Let u(r) be the second derivative of 44/27*r**3 - 32/9*r**2 + 1/90*r**5 - 13/54*r**4 + 0 + 67*r. Suppose u(t) = 0. What is t?
1, 4, 8
Let b(d) = -2*d**2 - 68*d - 640. Let x(w) = -w - 2. Let c(q) = b(q) + 4*x(q). Factor c(y).
-2*(y + 18)**2
Let j be (-1)/((153/171)/(-17)). Let w(o) be the third derivative of 0*o + j*o**2 + 0 + 1/330*o**5 + 5/66*o**4 + 25/33*o**3. Solve w(p) = 0.
-5
Let c(a) be the second derivative of 5*a**4/24 - 44*a**3/3 + 51*a**2 - 216*a + 2. Factor c(p).
(p - 34)*(5*p - 6)/2
Let k = 3612 - 3612. Let d(y) be the second derivative of -28*y - 1/6*y**4 - y**3 + k + 0*y**2. Solve d(c) = 0.
-3, 0
Let q(s) = -s**3 + 63*s**2 + 4*s - 57. Let r(b) = 2*b**3 - 127*b**2 - 7*b + 117. Let u(z) = 5*q(z) + 3*r(z). Suppose u(j) = 0. Calculate j.
-1, 1, 66
Suppose 0 = 98*p - 91*p - 448. Suppose 6*u - p = -52. Determine b so that 4/3*b**u + 0 + 4/3*b**4 + 0*b + 8/3*b**3 = 0.
-1, 0
Let p(l) = 3*l**2 + 10550*l - 13939350. Let i(k) = -4*k**2 - 10548*k + 13939380. Let v(s) = -5*i(s) - 6*p(s). Find u, given that v(u) = 0.
2640
Factor -57*o**2 + 129*o**2 - 66*o - 264*o + 2*o**4 + 152*o**2 - 38*o**3 - 18*o**2.
2*o*(o - 11)*(o - 5)*(o - 3)
Let a(p) = -p**2 + 2*p - 9. Let j be 3/(-1)*(-1)/(-1). Let c(v) = 1. Let n = -2075 - -2051. Let s(i) = j*a(i) + n*c(i). Solve s(r) = 0 for r.
1
Factor 402 + 230*f**2 - 204*f**4 - 192*f**3 - 3*f**5 + 238*f**2 + 193*f**2 + 1011*f - 10*f**2 - 33*f**2.
-3*(f - 2)*(f + 1)**3*(f + 67)
Let r(x) be the second derivative of x**7/42 + 17*x**6/60 + x**5/2 - 23*x**4/4 - 57*x**3/2 - 135*x**2/4 - 4175*x. What is j in r(j) = 0?
-5, -3, -1/2, 3
Suppose -3*l + 18 = 3*c, -6*c + c = -15. Factor 23*f**l + 9*f + 17*f**3 - 78*f**3 + 26*f**3 + 19*f**2 + 14*f**2.
-3*f*(f - 3)*(4*f + 1)
Let k(r) be the first derivative of -6*r**5/5 - 4*r**4 + 10*r**3/3 + 6*r**2 + 163. Let k(g) = 0. What is g?
-3, -2/3, 0, 1
Let i(y) be the first derivative of -14*y**6/3 - 8*y**5/5 + 21*y**4 - 32*y**3/3 - 8*y**2 - 389. Determine u so that i(u) = 0.
-2, -2/7, 0, 1
Suppose -2/9*q**2 - 1220/9 - 142/9*q = 0. Calculate q.
-61, -10
Let u(q) be the f