60 + 19*z**4/48 - 215*z**3/48 + 1126*z. Factor n(a).
a*(a - 5)*(a + 43)/8
Let x(j) = -5*j**2 - 124*j - 3842. Let k(p) = -101*p - 2*p**2 + 32*p + 37*p + 32*p + 1. Let d(u) = 10*k(u) - 5*x(u). Let d(n) = 0. What is n?
-62
Let c(k) = -31*k**3 + 157*k**2 + 1672*k + 2672. Let m(g) = -180*g**3 + 945*g**2 + 10030*g + 16030. Let a(l) = 35*c(l) - 6*m(l). Factor a(u).
-5*(u + 2)*(u + 14)*(u + 19)
Let y(j) be the third derivative of -1/15*j**5 - 1/60*j**6 + 0*j + 1 + 2/3*j**3 - 12*j**2 + 1/12*j**4. Solve y(d) = 0 for d.
-2, -1, 1
Let w(s) = -s**3 - 6*s**2 + s + 1. Let h be w(-6). Let l be (-1)/((1/h*1)/1). Factor 6*a**4 + 14*a**3 - a + 11*a**4 - 1 + 6*a**l - 3*a.
(a + 1)**3*(2*a - 1)*(3*a + 1)
Let p(z) = -4*z**3 + 16*z**2 - 16*z + 166. Let g(d) = -d**3 + 4*d**2 - 3*d + 33. Let i(x) = -28*g(x) + 6*p(x). Factor i(a).
4*(a - 3)**2*(a + 2)
Let u(s) = s**3 + 141*s**2 + 398*s - 2206. Let r be u(-138). Factor -1/7*c**4 + 9/7*c**3 + 0 + 27/7*c - 27/7*c**r.
-c*(c - 3)**3/7
Let k(a) be the third derivative of a**7/1575 + 103*a**6/900 - a**5/150 - 311*a**4/180 - 206*a**3/45 - 3*a**2 + 15*a. Let k(l) = 0. What is l?
-103, -1, 2
Let n = -40 - -41. Let q(j) = 7*j**3 - 2*j**2 - j + 2. Let v be q(n). Determine u, given that -v*u**2 + 5*u + 6*u**2 - 5*u**2 = 0.
0, 1
Let f(j) be the second derivative of j**5/30 + j**4/4 + 2*j**3/3 - 19*j**2/2 - 2*j - 61. Let a(k) be the first derivative of f(k). Factor a(g).
2*(g + 1)*(g + 2)
Let a be (-3348)/67392 + 6/39. Let d(v) be the third derivative of -1/240*v**6 - 1/4*v**3 + 0 + 0*v + a*v**4 - 1/120*v**5 + 3*v**2. Solve d(u) = 0.
-3, 1
Let y = -4303 + 4306. Let x(r) be the third derivative of -1/480*r**6 - 1/2520*r**7 + 1/36*r**y - 1/720*r**5 - 18*r**2 + 0 + 1/96*r**4 + 0*r. Solve x(l) = 0.
-2, -1, 1
Let p(u) be the third derivative of 5*u**8/504 - 8*u**7/315 - u**6/45 + u**5/9 - u**4/36 - 2*u**3/9 - 2202*u**2. Solve p(o) = 0 for o.
-1, -2/5, 1
Let y(s) be the second derivative of s**7/2520 - 11*s**6/720 - s**5/10 - s**4/6 + 2*s**2 - 15*s. Let i(a) be the third derivative of y(a). Factor i(q).
(q - 12)*(q + 1)
Let a be (8/12)/(1/(-2))*(-20 - (-7527)/429). Solve 78/11*k - a*k**2 - 40/11 - 2/11*k**3 = 0 for k.
-20, 1
Let b = 7243 - 7240. Let p(z) be the first derivative of 3/7*z**4 + 0*z**2 - 18 + 8/21*z**b + 0*z + 4/35*z**5. What is l in p(l) = 0?
-2, -1, 0
Factor 189/4 - 3/4*t**2 - 93/2*t.
-3*(t - 1)*(t + 63)/4
Suppose -14*m - 11*m = 5*m. Let q(d) be the second derivative of 0 - 1/12*d**4 + 3*d - 3/20*d**5 + 0*d**2 + m*d**3 - 1/15*d**6. Factor q(u).
-u**2*(u + 1)*(2*u + 1)
Let u(c) be the third derivative of 0*c + 1/10*c**6 + 2*c**2 + 15 - 13/105*c**7 - 11/12*c**4 + 5/168*c**8 + 1/3*c**5 + c**3. Factor u(m).
2*(m - 1)**3*(m + 1)*(5*m - 3)
Let o be (-3000)/(-800) - (-3)/4. Factor -o*c**3 + 0 - 3*c**2 + 0*c.
-3*c**2*(3*c + 2)/2
Let k be -22 - ((-6)/(-2) + -5). Let x(r) = 2*r**2. Let o(z) = z**4 + 6*z**3 + 2*z**2 - 6*z + 7. Let a(u) = k*x(u) + 4*o(u). Factor a(m).
4*(m - 1)**2*(m + 1)*(m + 7)
Let c(s) = 20*s**4 + 15*s**3 + 62*s**2 + 48*s - 73. Let g(j) = 2*j**4 - j**3 + 8*j - 1. Let p(b) = c(b) - 9*g(b). Determine w so that p(w) = 0.
-8, -4, -1, 1
Let t be 40/648*-18 - ((-7)/3 + 1). Factor 0*v - 4/3*v**3 + 2*v**4 + 0 + t*v**2.
2*v**2*(3*v - 1)**2/9
Let j(x) = -5*x + 35. Let g be j(7). Factor g*n**4 - 1521 - 4*n**4 + 24*n**2 - 4*n**3 + 1521.
-4*n**2*(n - 2)*(n + 3)
Suppose 47 = -4*f + 3*b, 3*b - 37 = 3*f - b. Let n be f/10*2 + (25 - 22). Determine p, given that -n - 2/15*p + 2/15*p**2 = 0.
-2, 3
Factor 0 + 127/2*i - 255/4*i**2 + 1/4*i**3.
i*(i - 254)*(i - 1)/4
Let r(f) be the second derivative of -f**7/84 + 89*f**6/60 - 95*f**5/8 - 21123*f**4/8 - 61074*f**3 - 613089*f**2 - 3305*f. Factor r(z).
-(z - 58)**2*(z + 9)**3/2
Suppose 46*x + 4*x + 25 - 25 = 0. Factor 2/11*s - 82/11*s**2 + x.
-2*s*(41*s - 1)/11
Let s be 16/6*(1573/546 - 32/12). Suppose 40/7*v**4 + s - 6/7*v - 44/7*v**2 + 6/7*v**3 = 0. What is v?
-1, -2/5, 1/4, 1
Let c be 236/(-24) + 4 - (2 - 8). Let d(i) be the second derivative of -6*i + 3*i**2 - c*i**4 - 2/3*i**3 + 0. Factor d(b).
-2*(b - 1)*(b + 3)
Factor -244*q + 49*q**2 + 168 + 23*q**2 + 86872*q**3 - 86868*q**3.
4*(q - 2)*(q - 1)*(q + 21)
Let f(q) = 6*q**3 - 3*q**2 - 2*q + 15. Let g be f(3). Let b be 228/g + 3/(-36). Factor -3*t - b + 9/2*t**2.
3*(t - 1)*(3*t + 1)/2
Suppose -t - 3 = 0, 2*t + 2*t + 60 = -4*z. Let r be 5 + (15 + z - 34/8). Factor -1/2 - 9/4*b**4 + r*b + 29/4*b**3 - 33/4*b**2.
-(b - 1)**3*(9*b - 2)/4
Let q = 31031 + -31028. Let 0 - 66*b**2 + 7/3*b**5 - 56/3*b + 66*b**4 + 49/3*b**q = 0. What is b?
-28, -1, -2/7, 0, 1
Let p(u) = -u**5 - u**4 - u**3 + u. Suppose -4*y + 23 = -105. Let l = y - 27. Let a(d) = 10*d**5 - 5*d**3 + 10*d**2 - 5. Let s(q) = l*p(q) + a(q). Factor s(h).
5*(h - 1)**3*(h + 1)**2
Let x(g) = 3*g**3 + 29*g**2 - 267*g + 463. Let h(i) = -6*i**3 - 56*i**2 + 528*i - 928. Let k(n) = 2*h(n) + 5*x(n). Solve k(u) = 0.
-17, 3
Let c(x) = 2*x**2 + 17*x - 3. Let y be c(-9). Let s be 10/y - (-4)/12. Factor -180 - 3*b**2 - 3*b**2 + 60*b + 2*b**s - b**2.
-5*(b - 6)**2
Suppose -4/3*y**5 - 140/3*y**2 + 8*y + 26/3*y**4 + 10/3*y**3 + 48 = 0. Calculate y.
-2, -1, 3/2, 2, 6
Let l = -111 - -106. Let o(i) = i**4 + 9*i**3 + 33*i**2 + 41*i + 16. Let k(m) = -m**4 - 9*m**3 - 34*m**2 - 42*m - 16. Let s(y) = l*k(y) - 6*o(y). Factor s(r).
-(r + 1)*(r + 2)**2*(r + 4)
Let a(h) be the second derivative of h**5/24 + 15*h**4/4 + 2*h - 237. Factor a(i).
5*i**2*(i + 54)/6
Let s(h) be the second derivative of -h**4/4 - 33*h**3/2 - 48*h**2 + 8616*h. Suppose s(q) = 0. What is q?
-32, -1
Let x be ((-567)/18)/7*(-4)/6. Let 10*z - 4*z**4 + 12*z**x + 8*z - 18*z = 0. What is z?
0, 3
Let o(x) be the third derivative of 5*x**8/96 + 146*x**7/7 + 2243*x**6/48 + 83*x**5/4 + 5685*x**2. Solve o(w) = 0 for w.
-249, -1, -2/7, 0
Solve 432*x + 168*x**3 - 1608*x**5 - 12 + 1611*x**5 - 180 - 36*x**4 - 384*x**2 = 0.
2, 4
Let h(o) be the third derivative of o**6/25 + 357*o**5/50 - 271*o**4/20 - 18*o**3 - 340*o**2. Find g, given that h(g) = 0.
-90, -1/4, 1
Let m(q) be the first derivative of 4*q**4 - 428*q**3/3 + 826*q**2 + 440*q + 5489. Factor m(r).
4*(r - 22)*(r - 5)*(4*r + 1)
Suppose r - 8 = -3*r. Let 959*i + 227*i**2 - 35*i**r - 959*i + 3*i**4 - 48*i**3 = 0. Calculate i.
0, 8
Suppose 5*v + 40 = -2*n, -n - 46665*v = -46668*v - 24. Factor -7/5*r**2 + n + 2/5*r + 9/5*r**3 + 1/5*r**5 - r**4.
r*(r - 2)*(r - 1)**3/5
Let k = -350937 + 2456591/7. Factor -k*f + 4 + 4/7*f**2.
4*(f - 7)*(f - 1)/7
Let i(o) = -o**3 + 4*o**2 + 5*o + 3. Let a be i(5). Suppose 4*p + 266 = 286. Let -g**3 + 86*g - 102*g + p*g**a = 0. What is g?
-2, 0, 2
Let a(d) be the third derivative of d**6/30 + 25*d**5/9 - 17*d**4 + 176*d**3/9 + 531*d**2. Factor a(l).
4*(l - 2)*(l + 44)*(3*l - 1)/3
Let f = 1026 - 1022. Suppose 53 - 61 = -f*q. Factor 3/8*r + 3/4*r**q + 0 - 3/8*r**5 + 0*r**3 - 3/4*r**4.
-3*r*(r - 1)*(r + 1)**3/8
Factor 224*j + 37632 + 1/3*j**2.
(j + 336)**2/3
Suppose -22*v + 26*v - 4 = 0, 2 = -3*d + 2*v. Let c(n) be the third derivative of d*n + 1/120*n**5 + 1/8*n**4 + 3/4*n**3 + 0 + 11*n**2. Factor c(a).
(a + 3)**2/2
Let a(r) = -385*r**3 + 814*r**2 - 469*r + 44. Let j(n) = -385*n**3 + 815*n**2 - 470*n + 45. Let y(z) = -5*a(z) + 4*j(z). Solve y(m) = 0 for m.
8/77, 1
Let z be 50/(-275)*33/(-27). Let g(u) be the second derivative of z*u**2 + 0 - 3*u - 1/27*u**4 - 1/27*u**3 + 1/90*u**5. Factor g(y).
2*(y - 2)*(y - 1)*(y + 1)/9
Factor 52*r + 1/5*r**4 + 57/5*r**2 - 60 - 18/5*r**3.
(r - 10)**2*(r - 1)*(r + 3)/5
Let t(r) = 3*r**4 - 6*r**2 + 7*r + 3. Let s(f) = -f**4 + 2*f**2 - 2*f - 1. Let x be 38/(-18) + 4/36. Let n(w) = x*t(w) - 7*s(w). Let n(v) = 0. What is v?
-1, 1
Let -768/11*a + 6/11*a**3 + 24/11*a**2 - 4608/11 = 0. Calculate a.
-8, 12
Let c(i) be the third derivative of i**8/112 - i**7/10 - 7*i**6/8 + 31*i**5/4 + 287*i**4/4 + 196*i**3 - 1059*i**2. Determine v, given that c(v) = 0.
-4, -2, -1, 7
Let z(f) = f**2 - 4*f - 19. Let p be z(-3). What is o in 3*o - 3*o**2 + 5*o + 8*o - o**2 + 0*o**p = 0?
0, 4
Solve -8/3*v + 2/3*v**4 - 92/3*v**2 + 30 + 8/3*v**3 = 0 for v.
-9, -1, 1, 5
Let i(j) = -3*j + 4. Let v be i(-10). Suppose 2*m - 5*p + 17 = 0, m + 5*p = -5 + v. Factor 4*b - 3*b + 3*b**m - 3*b**2 + 6*b**3 - 7*b.
3*b*(b - 1)*(b + 1)*(b + 2)
Suppose k + 176*c = 178*c - 449, -c - 1832 