.
2*(x - 2)*(x + 2)/15
Let f = 27055/6 + -9013/2. Factor 2 + 2/3*u**2 + f*u.
2*(u + 1)*(u + 3)/3
Suppose 0 = -7*d - 329 - 1092. Let r = -203 - d. What is o in -2/13*o**2 + 0 - 2/13*o**4 + r*o + 4/13*o**3 = 0?
0, 1
Let r(p) = p**5 - 4*p**4 + p**3 + 2*p**2. Let s(x) be the third derivative of -x**7/210 + x**5/60 - 7*x**2 - 2*x. Let c(u) = -r(u) + 2*s(u). Factor c(d).
-d**3*(d - 1)**2
Factor -15/2*j**2 - 1/4*j**3 + 0 - 81/4*j.
-j*(j + 3)*(j + 27)/4
Let h(u) be the first derivative of -u**8/7560 + u**7/1890 + 2*u**6/135 - u**3/3 + 12*u**2 + 60. Let o(q) be the third derivative of h(q). Factor o(b).
-2*b**2*(b - 6)*(b + 4)/9
Let j(g) be the first derivative of -8*g**3/3 + 431*g**2/2 - 371*g - 7130. What is z in j(z) = 0?
7/8, 53
Let q(y) = -3*y**4 + 33*y**3 - 3*y**2 - 73*y - 66. Let i(z) = -z**4 + 9*z**2 - 8*z. Let w(s) = 2*i(s) + q(s). Let w(h) = 0. Calculate h.
-1, 2, 33/5
Let f(y) be the third derivative of y**7/120 - 61*y**6/480 - 3*y**5/40 + 63*y**4/8 + 9*y**3 + 6*y**2 + 2. Factor f(s).
(s - 6)**2*(s + 3)*(7*s + 2)/4
Let j(a) be the second derivative of a**7/63 - 74*a**6/45 + 421*a**5/30 - 448*a**4/9 + 820*a**3/9 - 272*a**2/3 + 1503*a - 2. Solve j(g) = 0 for g.
1, 2, 68
Let r(j) = 11*j**4 + 460*j**3 + 3200*j**2 - 5112*j. Let l(b) = -100*b**4 - 4140*b**3 - 28800*b**2 + 46010*b. Let f(t) = -4*l(t) - 35*r(t). Factor f(m).
5*m*(m + 16)**2*(3*m - 4)
Suppose 29 = 5*g - 3*q, 5*q + 4 = -0*g + 2*g. Suppose -1 = f, l = -l + 3*f + g. Factor -347*a**3 - a**l + 344*a**3 - a**2 - a**4.
-a**2*(a + 1)*(a + 2)
Let f(h) be the first derivative of -h**3 - 8256*h**2 - 22720512*h - 80. Find k, given that f(k) = 0.
-2752
Let v = 79520 - 79516. Solve -4*t - 8/3*t**2 + v*t**4 - 4/3 + 8/3*t**3 + 4/3*t**5 = 0 for t.
-1, 1
Let s be 30/((-5 - -7)*1/3). Determine q so that -401 - s - q**2 - 130 + 96*q - 3*q**2 = 0.
12
Let l(v) be the first derivative of 45 + 135*v + 7*v**5 - 25/2*v**4 - 30*v**3 - 5/6*v**6 + 135/2*v**2. Factor l(o).
-5*(o - 3)**3*(o + 1)**2
Solve 11 - 18 + 2 - 4*p**2 + 0 + 9 = 0.
-1, 1
Let f(a) be the second derivative of a**6/180 + a**5/12 - a**4/18 - 77*a**3/18 + 49*a**2/4 + 2*a - 2207. Suppose f(g) = 0. Calculate g.
-7, 1, 3
Suppose 54 = -102*z - 96*z + 216*z. Let o(l) be the third derivative of 0 + 1/360*l**6 + 0*l**5 + 0*l - 1/72*l**4 - 28*l**2 + 0*l**z. Solve o(b) = 0.
-1, 0, 1
Let p(t) = 4*t**2 - 25*t + 11. Let d be p(4). Let h be (-35)/35 - d/4. Solve -h*r + 9/4 + 15/4*r**2 - 3/4*r**3 = 0 for r.
1, 3
Let h(x) be the second derivative of 1/78*x**4 + 0 - 16/13*x**2 + 2/13*x**3 + 7*x. Let h(l) = 0. Calculate l.
-8, 2
Let s(v) = v**3 + 19*v**2 - 9*v + 29. Let d be s(-16). Let n = d + -938. Factor -15/8*h**n + 0 - 21/8*h**2 - 3/8*h**4 - 9/8*h.
-3*h*(h + 1)**2*(h + 3)/8
Let r be ((22491/204)/63)/((-15)/(-16)). Factor 4/3*o**2 + 2/15*o**3 + 46/15*o + r.
2*(o + 1)*(o + 2)*(o + 7)/15
Let h = -120617/15 + 25510/3. Let f = h - 462. Let -f - 3/10*w - 1/10*w**2 = 0. What is w?
-2, -1
Let i(t) = -9*t**2 + 4*t - 4. Let q = -71 - -73. Let f(j) = -4 + 4 + 5 + 6*j**q + 4*j**2 - 5*j. Let g(c) = -4*f(c) - 5*i(c). Factor g(u).
5*u**2
Let q(k) be the third derivative of -k**7/24 - 71*k**6/240 + 79*k**5/80 + 91*k**4/24 + 5*k**3/6 + 85*k**2 - 31*k. Solve q(y) = 0 for y.
-5, -1, -2/35, 2
Solve -104329/2 + 323*j - 1/2*j**2 = 0 for j.
323
Suppose 2*c - 3*g - 10 = 0, -12 = -3*c + 5*g - 2*g. Let w be ((-17)/(408/(-16)))/(4/30). Let -3 - 3 - w*m**c + 6 = 0. Calculate m.
0
Let f(j) = j**2 - 8*j - 105. Let l be f(15). Suppose p**3 - 3*p**2 + p**2 + l*p**2 - 310*p + 295*p = 0. What is p?
-3, 0, 5
Let w(b) be the third derivative of -b**6/720 - 3*b**5/20 - 13*b**4/18 - 50*b**2. Factor w(i).
-i*(i + 2)*(i + 52)/6
Determine j, given that -6/13*j + 2/13*j**2 - 8/13 = 0.
-1, 4
Let j(x) be the first derivative of -x**5/5 - 47*x**4/4 - 475*x**3/3 + 1875*x**2/2 - 4285. Factor j(z).
-z*(z - 3)*(z + 25)**2
Let d(h) be the first derivative of -5*h**3 + 56*h + 4*h - 12*h**2 + 4*h**3 - 27 + 0*h**3. Solve d(z) = 0.
-10, 2
Let u(n) = n**3 + 23*n**2 - 58*n - 49. Let r be u(-25). Suppose 5*a**2 - 86*a + 9 + 19 + r*a + 32 = 0. Calculate a.
-12, -1
Let x(p) be the third derivative of -p**5/750 + 27*p**4/100 - 78*p**3/25 + 2279*p**2. Suppose x(r) = 0. What is r?
3, 78
Suppose 0 = 4*k + 52*t - 55*t - 105, -2*t = -5*k + 140. Let a(o) be the first derivative of -180*o - 5/3*o**3 + k*o**2 + 14. Factor a(g).
-5*(g - 6)**2
Let k(a) be the third derivative of a**6/320 - 237*a**5/160 - 477*a**4/64 - 239*a**3/16 + 326*a**2. Factor k(r).
3*(r - 239)*(r + 1)**2/8
Let k(j) be the first derivative of j**8/1400 - j**7/525 - j**6/225 - 3*j**3 + j**2 + 33. Let o(u) be the third derivative of k(u). Factor o(v).
2*v**2*(v - 2)*(3*v + 2)/5
Let w = -4 - -12. Let d be -2 + 3 + 10/5. Determine j, given that -j + 3*j**3 - j**4 - w*j**3 + 3*j**3 + j**2 + d*j = 0.
-2, -1, 0, 1
Let v(b) be the third derivative of 1/150*b**5 + 0*b - 1/175*b**7 + 1/30*b**4 - 1/75*b**6 + 0 - 113*b**2 + 0*b**3. Find h, given that v(h) = 0.
-1, 0, 2/3
Suppose -107*u = -0*u + 221 - 649. Let l(y) be the third derivative of 1/30*y**6 + 0 - 1/4*y**u + 0*y - 37*y**2 + 0*y**3 - 1/30*y**5. Factor l(z).
2*z*(z + 1)*(2*z - 3)
Let q be -1 + 8/(-2) + 1. Let j(d) = -3*d**4 - 16*d**3 - 21*d**2 + 24*d + 24. Let t(v) = -3*v + 1. Let r(m) = q*t(m) - j(m). Solve r(c) = 0 for c.
-7/3, -2, 1
Let v(m) be the second derivative of 0 - 1/4*m**4 + 212*m + 9*m**3 + 60*m**2. Factor v(w).
-3*(w - 20)*(w + 2)
Solve 448/11 + 984/11*u**2 + 1336/11*u - 18/11*u**3 = 0 for u.
-2/3, 56
Let x(f) be the second derivative of -1/6*f**4 - 28/3*f**3 - 196*f**2 + 8*f + 0. What is t in x(t) = 0?
-14
Let v = 57/335 - -4519/1005. What is h in -h**2 - v*h + 5/3 = 0?
-5, 1/3
Solve 3/2*l**5 + 0*l**3 - 363*l**4 + 0*l + 0 + 0*l**2 = 0 for l.
0, 242
Let t(a) = -28*a**5 + a**4 + a**3 + a**2 + 2*a. Let v(l) = 136*l**5 - 161*l**4 - 2033*l**3 - 8793*l**2 - 10*l. Let c(m) = 5*t(m) + v(m). Factor c(p).
-4*p**2*(p + 13)**3
Let g(i) = -9*i**2 - 231*i - 207. Let x(r) = -7*r**2 - 228*r - 209. Let o(n) = 4*g(n) - 5*x(n). Factor o(m).
-(m - 217)*(m + 1)
Determine z, given that 4/3*z**2 - 4/3*z**4 - 7/6*z + 1/6*z**5 + z**3 + 0 = 0.
-1, 0, 1, 7
Let x = -332 + 416. Factor 28*y - x*y - 3*y**2 - 588 - y - 27*y.
-3*(y + 14)**2
Let s = -8636/7 + 77738/63. Determine o so that 22/9*o**2 + 26/9 - s*o**3 + 50/9*o = 0.
-1, 13
Suppose -2*f = 5 - 11. Let w(g) be the first derivative of 0*g**f - 12 - 3*g - 5*g + 6*g**2 - g**3 - g. Factor w(m).
-3*(m - 3)*(m - 1)
Suppose 7*g - 43 = -15. Let j(v) = v**3 - 6*v**2 + 9*v - 2. Let b be j(g). Find x, given that 10 + x**b - 1 + x - 3*x - 4*x = 0.
3
Let d = -74 + 114. Suppose 11*h**3 - 12*h + 12*h**5 - 51*h**2 - d*h**3 - 10*h**3 + 27*h**4 + 15*h**5 = 0. What is h?
-1, -1/3, 0, 4/3
Let m = -69511 - -625615/9. Factor -32/9 - m*v - 2/9*v**3 + 14/9*v**2.
-2*(v - 4)**2*(v + 1)/9
Let y be (5 + (-10)/6)/(36/(-3486)). Let r = y + 323. Factor 4/9*g + 2/9 + r*g**2.
2*(g + 1)**2/9
Let u(m) be the first derivative of -61 - 10/17*m**5 + 32/51*m**3 + 18/17*m - 30/17*m**2 + 15/17*m**4. Solve u(a) = 0 for a.
-1, 3/5, 1
Factor -1278*p - 13*p**2 + 136107 - 20*p**2 + 71*p**2 - 35*p**2.
3*(p - 213)**2
Let r be (-418)/84 + 25*14/70. Let i(c) be the second derivative of 0 - r*c**4 - 5/7*c**2 - 9*c - 2/7*c**3. Factor i(s).
-2*(s + 1)*(s + 5)/7
Let c(s) = 1836*s**2 - 3450*s + 32. Let x(m) = -229*m**2 + 432*m - 4. Let f(o) = -6*c(o) - 51*x(o). Find w such that f(w) = 0.
2/221, 2
Solve 145*l - 433*l + 33*l**2 - 4*l**3 - 17*l**2 + 32*l**2 + 36*l**2 + 272 = 0 for l.
2, 17
Let y be (4/(-22) - (-13)/((-19019)/(-1102)))/((-92)/(-322)). What is r in -216/7*r - 108/7*r**y - 24/7*r**3 - 2/7*r**4 - 162/7 = 0?
-3
Let s(u) be the first derivative of u**4/6 - 3*u**3 - 36*u**2 - 163*u - 202. Let y(n) be the first derivative of s(n). Factor y(z).
2*(z - 12)*(z + 3)
Factor 2275*x + 18 + 2355*x**2 + 865*x - 300*x - 467*x.
3*(x + 1)*(785*x + 6)
Let v be 10549/6028 + 7437/36 + 0. Factor -1/3*n**2 - v - 50/3*n.
-(n + 25)**2/3
Let s(o) be the third derivative of -o**6/210 + 38*o**5/105 - 73*o**4/42 + 24*o**3/7 - 810*o**2. Factor s(m).
-4*(m - 36)*(m - 1)**2/7
Let b(t) be the second derivative of -t**5/10 - 13*t**4/3 - 23*t**3 - 3*t - 284. Factor b(p).
-2*p*(p + 3)*(p + 23)
Let a(r) be the first derivative of 8/33*r**3 - 4