. Let f(a) = q*o(a) + 4*j(a). Factor f(g).
4*(g + 1)**2*(g + 2)*(g + 3)
Let b(u) be the second derivative of -5*u**7/84 + 73*u**6/12 - 195*u**5/2 + 1870*u**4/3 - 4880*u**3/3 - 4859*u. Factor b(v).
-5*v*(v - 61)*(v - 4)**3/2
Let a(h) = -h**2 - h - 1. Let l(f) = 7*f**2 + 19*f + 34. Let v(q) = a(q) + l(q). Let k(t) = t**2 - t + 1. Let n(p) = -3*k(p) + v(p). Factor n(z).
3*(z + 2)*(z + 5)
Suppose -4756 = 147*o - 5050. Find v such that 2*v - 2/9*v**o + 20/9 = 0.
-1, 10
Let d = -198 + 200. Determine p, given that 355*p - 8*p**d - 12 - 351*p + 4*p**5 + 32*p**2 - 8*p**3 - 12*p**4 = 0.
-1, 1, 3
Let t = 563 + -551. Let -8*p**2 + 4*p**2 + 25*p**2 + t - 48*p = 0. Calculate p.
2/7, 2
Let s(o) be the third derivative of 11*o**6/120 + o**5/6 + o**4/6 + 49*o**2. Let r(b) = 2*b**3 - b. Let x(g) = 15*r(g) - 3*s(g). Factor x(l).
-3*l*(l + 1)*(l + 9)
Let s(w) be the first derivative of -w**8/2240 - 3*w**7/560 - w**6/40 - w**5/20 - 8*w**3 - 90. Let b(d) be the third derivative of s(d). Solve b(z) = 0 for z.
-2, 0
Let q(p) be the second derivative of -p**6/6 - 15*p**5/2 - 145*p**4/12 - 2*p + 1233. Let q(n) = 0. Calculate n.
-29, -1, 0
Let s = 4 - 2. Suppose 0 = -30*l + 29*l + 3. Factor -l*b**3 + 3 + 12*b**3 - 132*b + 123*b - 3*b**s.
3*(b - 1)*(b + 1)*(3*b - 1)
Let i(r) = r**3 + 15*r**2 + 72*r + 1082. Let f be i(-15). Solve 4/3*h**f + 0 - 1/3*h = 0 for h.
0, 1/4
Let u(c) = -3*c - 130. Let t be u(-44). Factor -f**2 + 2*f**2 - f**2 - 4*f**3 - f**t + 76*f - 80 + 9*f**2.
-4*(f - 5)*(f - 1)*(f + 4)
Let x(d) be the first derivative of -10/39*d**3 + 12/13*d - 65 - d**2. Factor x(c).
-2*(c + 3)*(5*c - 2)/13
Let c(x) = 16*x**3 + 7*x**2 + 32*x. Let l(k) = 33*k**3 - 67*k**3 + 37*k**3 - 2*k**2 + 3*k**2 + 6*k. Let m(h) = 6*c(h) - 33*l(h). Factor m(b).
-3*b*(b - 2)*(b - 1)
Let p be (-95)/(-38)*(-4)/(-5). Factor -4*z**3 - 165*z + 2*z**3 - 12*z**2 - 180 - 44*z**p + 6*z**2 - 3*z**3.
-5*(z + 3)**2*(z + 4)
Let z(p) be the second derivative of p**6/150 + 152*p**5/25 + 7802*p**4/5 + 183616*p**3/15 + 182408*p**2/5 - p - 613. Factor z(r).
(r + 2)**2*(r + 302)**2/5
Let d(c) = -c**3 + 9*c**2 - 14*c + 7. Let p be d(7). Suppose 30*j**2 + 4*j**4 + 18*j**2 + 100*j + 5*j**2 - 36*j**3 + p*j**2 = 0. Calculate j.
-1, 0, 5
Let y(h) be the second derivative of h**6/150 + 4*h**5/75 + 2*h**4/15 + 5*h**2/2 + 2*h - 21. Let a(r) be the first derivative of y(r). Factor a(v).
4*v*(v + 2)**2/5
Let t(f) = f**3 - 32*f**2 + 31*f + 3. Let g be t(31). Factor -7838*k - 12*k**2 + 6 + k**g + 7842*k + k**4 + 10.
(k - 2)**2*(k + 1)*(k + 4)
Let i(p) = -p**2 + 32*p - 29. Let o be i(31). Suppose -w = o*r - 19, 5*r = -3*w + 4*r + 52. Suppose -w*v - 4*v**2 + 24*v + 2*v**2 - 21*v + 16 = 0. Calculate v.
-8, 1
Let y = 195841/16 + -12240. Let a(r) be the first derivative of -25/4*r + y*r**4 + 35/8*r**2 - 11/12*r**3 - 26. Determine q, given that a(q) = 0.
1, 5
Let t(x) = -4*x**2 - x. Let o(l) = -59*l**2 - 61*l + 304. Let h(y) = 2*o(y) - 30*t(y). Factor h(s).
2*(s - 38)*(s - 8)
Let n(t) be the second derivative of -227*t - 18000*t**2 - 2/45*t**6 + 0 + 91/15*t**5 + 6600*t**3 - 310*t**4. Factor n(i).
-4*(i - 30)**3*(i - 1)/3
Let y(s) be the first derivative of -54 + 1/6*s**3 + 10*s**2 + 200*s. What is h in y(h) = 0?
-20
Let t(y) = y - 2. Let c be t(4). Let x(v) = v**3 - 14*v**2 - 9*v + 131. Let s be x(14). Solve -9*f**c + 9*f**3 - 15*f**3 - 16 - 11 - 27*f + s*f**3 = 0.
-3
Let g(l) be the second derivative of -3*l**5/40 - 11*l**4/4 - 179*l. Find d such that g(d) = 0.
-22, 0
Let m(b) be the third derivative of 0*b**3 - 1 - 7/15*b**5 - 1/6*b**6 + 0*b + 25*b**2 - 1/3*b**4. Factor m(p).
-4*p*(p + 1)*(5*p + 2)
Let k = 421 + -417. Factor 14*u**2 + 3*u**4 - u**k - 30*u**2 + 4*u**3.
2*u**2*(u - 2)*(u + 4)
Factor 3/5*a**3 + 741/5*a**2 - 2964/5 - 12/5*a.
3*(a - 2)*(a + 2)*(a + 247)/5
Let o be 36/(-24) - 90/(-44). Let p = 2789/11 - 253. Find f, given that p*f**3 - 2/11*f**4 - o*f + 4/11 - 2/11*f**2 = 0.
-1, 1, 2
Let b = -4/353 - 3518/1059. Let h = 76/21 + b. Factor 0*w - 2/7 + h*w**2.
2*(w - 1)*(w + 1)/7
Let k be ((-288)/(-648) - (-49)/(-9)) + (6 - 1). Find s such that 0*s + 3/4*s**4 + k - 9/4*s**3 + 0*s**2 = 0.
0, 3
Factor 18*d - 33/2*d**2 + 3*d**3 + 0.
3*d*(d - 4)*(2*d - 3)/2
Let r(l) be the second derivative of l**7/2520 - l**5/120 + l**4/6 + 9*l**2/2 + 9*l + 1. Let s(v) be the third derivative of r(v). Determine g so that s(g) = 0.
-1, 1
Suppose -2*z + 2*a + 14 = 2*z, a = 3*z - 9. Solve 18 + 0*k**2 - 8*k**2 + 2*k**2 - 3*k**z - 51*k = 0 for k.
-6, 1/3
Suppose -3*x = -4*k + k - 39, -5*x + 98 = -8*k. Find t, given that -10/3 + 4/3*t + 1/6*t**x = 0.
-10, 2
Let u be 1 - (-2549 - (-4 + 10 - 4)). Suppose u = 4*i + 4*i. Solve -320*z - 6*z**2 + 630*z - i*z - z**3 = 0 for z.
-3, 0
Let g(s) be the third derivative of -s**5/510 + s**4/68 - 2*s**3/51 + 1631*s**2. Find n, given that g(n) = 0.
1, 2
Let i be (-19)/(-76) + (-79)/(-4). Suppose 5*g = 5*u - i, 6 - 22 = -5*u + g. Suppose -7*n**3 + 2*n**3 - 4*n**2 - 4*n**2 + n**u = 0. What is n?
-2, 0
Let k(a) = -49*a**3 - 2*a**2 + a. Let g(v) = 489*v**3 + 85*v**2 + 56*v. Let w(r) = -3*g(r) - 30*k(r). Factor w(d).
3*d*(d - 66)*(d + 1)
Let q(t) = -t**3 + 95*t**2 + 2714*t + 2. Let a be q(118). Factor -1/8*p**a - 1/2*p + 5/8.
-(p - 1)*(p + 5)/8
Factor 0 - 66*h**2 - 267/4*h**3 - 3/4*h**4 + 0*h.
-3*h**2*(h + 1)*(h + 88)/4
Let z be ((-10)/(-30))/((-50)/(-1125)). Let m(k) be the first derivative of 1 - k**3 - 18*k + z*k**2. Factor m(r).
-3*(r - 3)*(r - 2)
Let v(n) be the second derivative of -n**6/6 - 21*n**5/4 + 18*n. Factor v(c).
-5*c**3*(c + 21)
Suppose -4*v + 3*g + 9 = 0, -5*v - 2*g - 17 = -11. Let b(u) be the second derivative of -4/21*u**3 + 1/42*u**4 + 4/7*u**2 + 15*u + v. Factor b(j).
2*(j - 2)**2/7
Let g(i) be the second derivative of 26/5*i**2 + 0 + 1/60*i**4 - 19*i + 14/15*i**3. Find l, given that g(l) = 0.
-26, -2
Let r(p) be the second derivative of -1 + 27*p + 0*p**3 - 1/100*p**5 - 1/300*p**6 + 0*p**4 + 1/420*p**7 + 0*p**2. Suppose r(i) = 0. What is i?
-1, 0, 2
Let w(y) be the second derivative of -y - 1/24*y**4 + 19/2*y**2 - 17/12*y**3 - 56. Factor w(n).
-(n - 2)*(n + 19)/2
Let p(t) be the first derivative of 14/15*t**3 - 17*t + 3 - 49/5*t**2 - 1/30*t**4. Let c(l) be the first derivative of p(l). Factor c(s).
-2*(s - 7)**2/5
Let f(z) = -4*z**2 + 16*z + 2. Let q = 128 - 124. Let l be f(q). Solve 216*n + 864 + 18*n**l + 1/2*n**3 = 0 for n.
-12
Suppose -2*c + 27 = p, 0 = 2*c - 696*p + 692*p + 78. Solve 0 + c*k - 3/5*k**2 = 0 for k.
0, 5
Let k(j) = j**2 - 99*j + 558. Let h be k(93). Let s(p) be the second derivative of p**2 + 2/3*p**3 + 1/6*p**4 + 20*p + h. Let s(c) = 0. Calculate c.
-1
Let f(w) = -w**3 - 5*w**2 + 117*w - 496. Let n(g) = g**3 + 4*g**2 - 115*g + 488. Let j(s) = 6*f(s) + 7*n(s). Suppose j(v) = 0. What is v?
-11, 5, 8
Solve 144/7 - 120/7*h - 82/7*h**4 - 188/7*h**2 + 34*h**3 + 8/7*h**5 = 0.
-3/4, 1, 2, 6
Determine o so that -4840 - 222/5*o**2 + 2508*o + 1/5*o**3 = 0.
2, 110
Factor 29/4*y - 3*y**2 + 1/4*y**3 - 9/2.
(y - 9)*(y - 2)*(y - 1)/4
Let w(a) be the second derivative of a**6/120 + 11*a**5/80 + 35*a**4/48 + 25*a**3/24 + 765*a. What is u in w(u) = 0?
-5, -1, 0
Let n be 6/1*52/5304*18. Factor 0*s + 2/17*s**2 - n.
2*(s - 3)*(s + 3)/17
Let j(g) be the third derivative of 1/56*g**6 - 33/140*g**5 + 0 + 9/7*g**4 + 0*g - 26/7*g**3 - 22*g**2. Factor j(y).
3*(y - 2)**2*(5*y - 13)/7
Find j such that -82*j**2 + 100 + 2*j**3 - j - j**5 - 28*j**4 + 128*j**4 + 0*j**3 - 118*j**2 = 0.
-1, 1, 100
Factor 60*j + 431*j**4 - 817*j**4 - 60*j - 4*j**3.
-2*j**3*(193*j + 2)
Let i(h) be the first derivative of 2*h**7/21 + 2*h**6/15 - 2*h**5/5 - 145*h - 11. Let q(v) be the first derivative of i(v). Factor q(b).
4*b**3*(b - 1)*(b + 2)
Let p(u) = u - 20. Let j(h) = -2*h**2 - 139*h + 304. Let m(z) = 2*j(z) + 2*p(z). Suppose m(s) = 0. Calculate s.
-71, 2
What is d in 112 - 2 + 2*d**2 + 44*d + 60 = 0?
-17, -5
Let d = -3815 - -30521/8. Let h(f) be the second derivative of 0 - 1/2*f**3 - d*f**4 + 0*f**2 + 13*f. Factor h(o).
-3*o*(o + 2)/2
Suppose -4*v = -3*t - 175, 4*v - 5*t + 0*t - 185 = 0. Let u = v - 37. Determine j, given that -u*j**4 + 8*j**4 + 4*j + 15*j**2 + j - 25*j**4 = 0.
-1/2, 0, 1
Determine f, given that 1/5*f**3 - 4/5*f**2 - 2/5 + f = 0.
1, 2
Suppose -4*w - 164 = -2*a, -w - 132 - 29 = -2*a. Suppose a = s 