 - 27*t + 18. Let x(q) = -5*k(q) - 12*n(q). Factor x(l).
-3*(l - 2)*(l - 1)*(l + 1)
Let s = -81 + -147. Let n = s - -231. Factor -1/2*j + 0 + 1/2*j**n - 1/2*j**2 + 1/2*j**4.
j*(j - 1)*(j + 1)**2/2
Let l be (0 - 2) + 84/7. Suppose 3*z + l = 8*z. Suppose 0 - 1/3*f**z + 1/3*f**3 + 0*f = 0. Calculate f.
0, 1
Let y(a) be the second derivative of 1/9*a**3 - 1/4*a**2 + 0 + 9*a - 1/72*a**4. Factor y(o).
-(o - 3)*(o - 1)/6
Let t(o) be the third derivative of o**8/2856 + 2*o**7/1785 - o**6/204 - o**5/85 + o**2 + 206. Find q such that t(q) = 0.
-3, -1, 0, 2
Let w be 8/(-5)*((-51)/(-170))/((-21)/35). Factor 0 + 324/5*o - 72/5*o**2 + w*o**3.
4*o*(o - 9)**2/5
Let a(s) = -s**5 + s**4 - 1. Let t(r) be the second derivative of 3*r**7/14 - 13*r**6/30 + 11*r**2/2 + 22*r. Let q(w) = -22*a(w) - 2*t(w). Factor q(x).
4*x**4*(x + 1)
Suppose -186*p = -192*p - 3*o - 21, 5*p + 3*o + 21 = 0. Determine x, given that -1/5*x**5 + p*x**2 + 0*x**3 - x**4 + 0 + 0*x = 0.
-5, 0
Let r(y) be the first derivative of 2*y**3/3 + 7*y**2/2 + 8*y + 15. Let q(i) = 2*i**2 + 6*i + 8. Let j(n) = 3*q(n) - 4*r(n). Factor j(k).
-2*(k + 1)*(k + 4)
Factor -502*f**2 - 109*f - 17*f**3 + 15 - 23 + 391*f**2 - f**4 - 22*f**3 - 28.
-(f + 1)**3*(f + 36)
Let q(k) be the third derivative of k**9/5292 - k**8/1470 + k**6/315 - k**5/210 + k**3/6 - 11*k**2. Let v(d) be the first derivative of q(d). Factor v(z).
4*z*(z - 1)**3*(z + 1)/7
Let j(w) = 2*w. Let p(h) = 4*h**3 + 40*h**2 - 220*h + 224. Let q(b) = -6*j(b) - p(b). Solve q(i) = 0.
-14, 2
Let g(o) be the second derivative of -o**6/90 + 2*o**2 + 4*o. Let q(c) be the first derivative of g(c). Factor q(w).
-4*w**3/3
Suppose 3*t = 8*t - 35. Let z(i) = -i**2 + 17*i + 11. Let l = -2 + 7. Let w(r) = r**2 - 11*r - 7. Let x(f) = l*z(f) + t*w(f). Factor x(p).
2*(p + 1)*(p + 3)
Let v be 5/8*(-6 - -14). Suppose 3/11*k + 0 + 12/11*k**3 + 10/11*k**2 + 6/11*k**4 + 1/11*k**v = 0. Calculate k.
-3, -1, 0
Let b(l) be the second derivative of -l**7/189 - 4*l**6/135 + 5*l**4/27 + l**3/27 - 2*l**2/3 + 13*l + 6. Find q, given that b(q) = 0.
-3, -2, -1, 1
Let k(t) be the first derivative of 1/12*t**4 - 4/9*t**3 - 15 + 2/3*t**2 + 0*t. Let k(s) = 0. Calculate s.
0, 2
Let g(t) be the first derivative of t**6/18 - t**5/3 + t**4/6 + 8*t**3/9 + 288. Factor g(m).
m**2*(m - 4)*(m - 2)*(m + 1)/3
What is n in -10*n - 3*n**5 + 10*n**3 - 5*n**4 - 2*n**5 + 10*n = 0?
-2, 0, 1
Let y(u) be the first derivative of -1/9*u**3 + 4 + 0*u + 5/6*u**2. Suppose y(x) = 0. What is x?
0, 5
Let k(s) be the first derivative of s**5/5 + 17*s**4/4 + 19*s**3 + 67*s**2/2 + 26*s + 834. Factor k(y).
(y + 1)**2*(y + 2)*(y + 13)
Let j(v) be the third derivative of -1/330*v**5 - 5*v**2 - 1/1980*v**6 + 0*v - 2/3*v**3 + 0 + 0*v**4. Let q(p) be the first derivative of j(p). Factor q(n).
-2*n*(n + 2)/11
Let r(h) be the first derivative of h**7/5040 - h**6/720 + 3*h**3 - 5. Let f(j) be the third derivative of r(j). Determine d so that f(d) = 0.
0, 3
Factor 2*b**3 + 0*b - 10*b + 8*b.
2*b*(b - 1)*(b + 1)
Let -3/2*b + 27/4*b**2 - 3 + 39/8*b**3 - 9/8*b**5 - 3/2*b**4 = 0. What is b?
-2, -1, 2/3, 2
Suppose 3 = 9*n - 15. Determine f so that -11*f**3 + 1 + 7*f**3 - 12*f - 12*f**n - 5 = 0.
-1
Suppose 0 = 2*w - 4*w + 8. Let z(y) be the second derivative of 0 - 1/27*y**3 - 1/27*y**w - 4*y + 0*y**2 - 1/90*y**5. Factor z(s).
-2*s*(s + 1)**2/9
Let w = -1 - -3. Let u = -2346/7 + 11758/35. Factor u*k**2 - 2*k + w*k**3 - 4/5.
2*(k - 1)*(k + 1)*(5*k + 2)/5
Let b(i) be the first derivative of i**4/12 - i**3/9 - 7*i**2/3 + 8*i + 187. Suppose b(v) = 0. What is v?
-4, 2, 3
Let b(t) be the first derivative of t**5/20 + 5*t**4/8 - 3*t**3 - 2*t**2 + 37. Let l(i) be the second derivative of b(i). Determine y, given that l(y) = 0.
-6, 1
Let a(t) be the third derivative of -t**6/150 + 13*t**5/300 - 11*t**4/120 + t**3/15 - 6*t**2 + 8*t. Factor a(p).
-(p - 2)*(p - 1)*(4*p - 1)/5
Solve -100/3 + 5/3*o**2 + 5/3*o = 0 for o.
-5, 4
Let c(z) = -4*z**2 + 34*z - 159. Let y(u) = -3*u**2 - 2*u + 2. Let i(q) = -c(q) + 3*y(q). Factor i(k).
-5*(k - 3)*(k + 11)
Let x(c) be the first derivative of -2*c**3/9 + 5*c**2/3 + 522. What is l in x(l) = 0?
0, 5
Let j(o) be the third derivative of o**7/1575 + 2*o**6/225 + 4*o**5/75 + 8*o**4/45 + 16*o**3/45 - 35*o**2 - o. Factor j(i).
2*(i + 2)**4/15
Suppose 0 = 6*y + 88 - 100. Factor 0 - 2/9*v**y + 4/9*v.
-2*v*(v - 2)/9
Let f be 3*4/15 + (-288)/(-40). Let 2*z**3 - 5*z + f*z**3 + 7*z**2 + 8*z**2 - 5*z = 0. Calculate z.
-2, 0, 1/2
Let o = -78 + 231. Let w = 155 - o. Factor -3/5*l + 2/5 + 1/5*l**w.
(l - 2)*(l - 1)/5
Let l(r) = 420*r - 580*r - 44 - r**3 - 79*r**2 - 67. Let j(s) = -s**3 - 39*s**2 - 80*s - 56. Let a(h) = -9*j(h) + 4*l(h). Factor a(v).
5*(v + 2)**2*(v + 3)
Suppose 4*j - 4*h = -2*h + 2, 7 = -4*j + 5*h. Let p(r) = -r - 2. Let k be p(-3). Determine f, given that 11*f + k - 11*f + 0 - f**j = 0.
-1, 1
Let h(s) be the second derivative of s**5/10 - s**4/3 - s**3/3 + 2*s**2 + 25*s. Factor h(q).
2*(q - 2)*(q - 1)*(q + 1)
Let b = -49331 - -246657/5. What is a in -24/5*a + b*a**4 + 6/5*a**3 - 16/5 - 4/5*a**2 = 0?
-2, -1, 2
Let f = -636 + 640. Let o(w) be the third derivative of 1/480*w**6 + 0*w + 5/96*w**f - 1/60*w**5 - 1/12*w**3 + 0 + 4*w**2. Factor o(t).
(t - 2)*(t - 1)**2/4
Let a(s) = 7*s**3 - 21*s**2 + 33*s - 19. Let d(v) = v**3 - v. Let c(w) = -a(w) + 6*d(w). Solve c(l) = 0.
1, 19
Let f(m) = -8*m**3 - 68*m**2 - 69*m - 3. Let i(y) = -10*y**3 - 66*y**2 - 68*y - 4. Let n(v) = 4*f(v) - 3*i(v). Solve n(o) = 0 for o.
-36, -1, 0
Let f be 6*(-6)/9*-1. Suppose -f*x + 5*x = 4. Determine u, given that 5 - 4*u + x*u**3 + 0*u**2 - 4*u**2 - 1 = 0.
-1, 1
Let g be (-374)/(-14) - (-44)/154. Factor 4*c**2 - 3*c**3 - g*c + 27 + 5*c**2 + 2*c**3.
-(c - 3)**3
Let s be (-578)/(-15) + -4*(-10)/(-300). Suppose -52/5*p**3 - 4/5*p**2 + s*p + 4/5*p**4 - 144/5 + 4/5*p**5 = 0. What is p?
-3, 1, 2
Let i be 0/9*(2 - (-10)/(-6)). Factor i + 3*h**4 + 0*h + 0*h**3 + 0*h**2 - 3/2*h**5.
-3*h**4*(h - 2)/2
Suppose -2*z = 19 - 75. Factor -2 - 18*k**2 - 5*k + z*k**2 - 3.
5*(k - 1)*(2*k + 1)
Let r(h) be the third derivative of 0*h + 3*h**3 - 8*h**2 + 0 - 23/8*h**4 + 7/20*h**5. Factor r(c).
3*(c - 3)*(7*c - 2)
Suppose 18 = 4*w + 5*c, 2*w - 4*c = -0 - 4. Factor d**2 - 1 + 4 + d**w + 1 + 6*d.
2*(d + 1)*(d + 2)
Factor 0*j + 0 + 170/3*j**3 + 3/2*j**4 - 38/3*j**2.
j**2*(j + 38)*(9*j - 2)/6
Let n(g) be the second derivative of -1/20*g**5 + 2/15*g**6 - 9*g + 10/3*g**3 - 7/6*g**4 - 1/42*g**7 - 4*g**2 + 0. Factor n(x).
-(x - 2)**2*(x - 1)**2*(x + 2)
Let i(x) be the first derivative of 4*x**3 + 0*x - 3*x**4 + 4/5*x**5 - 2*x**2 + 15. Let i(u) = 0. Calculate u.
0, 1
Factor 186*b - 7046 + 9*b + 3*b**2 + 7046.
3*b*(b + 65)
Let q(g) be the third derivative of -g**8/560 + g**7/140 + g**6/120 - g**5/20 + 5*g**3/2 - 16*g**2. Let a(i) be the first derivative of q(i). Factor a(n).
-3*n*(n - 2)*(n - 1)*(n + 1)
Let 14/9 + u + 1/9*u**2 = 0. Calculate u.
-7, -2
Factor 19/2 - 19/2*g**2 - 1/2*g**3 + 1/2*g.
-(g - 1)*(g + 1)*(g + 19)/2
Let n be -18 + ((-15)/3)/(-5). Let w(a) = 11*a**2 + 11*a - 17. Let x(p) = 0*p - p - 4*p**2 + 6 - 3*p. Let i(q) = n*x(q) - 6*w(q). Factor i(z).
2*z*(z + 1)
Let q be (-2550)/(-11) - (-16)/88. Factor -q*j - 98*j**3 + 10 - 448*j**2 - 19 - 23.
-2*(j + 4)*(7*j + 2)**2
Let v(i) = -i**3 + 2*i**2 + 7*i. Let f be v(3). Suppose -2*x + 3*k = -6*x + 18, 3*k - f = -2*x. Factor -4*u**4 - 4*u + 11*u**2 - 3*u**2 + 4*u**x - 4*u**2.
-4*u*(u - 1)**2*(u + 1)
Let m be 2 + 4 + -1 + (-534)/108. Let z(h) be the first derivative of 1/3*h + 1/12*h**2 - m*h**3 + 1. Factor z(w).
-(w - 2)*(w + 1)/6
Let i(w) be the first derivative of -5*w**3/3 + 5*w**2 + 15*w + 241. Factor i(g).
-5*(g - 3)*(g + 1)
Let m = -1160651/553 - 11006/79. Let d = m + 2242. Factor -3/7*l**3 - 81/7*l - 81/7 - d*l**2.
-3*(l + 3)**3/7
Let d(b) be the first derivative of -b**6/15 + 6*b**5/25 - b**4/5 - 4*b**3/15 + 3*b**2/5 - 2*b/5 + 39. Factor d(q).
-2*(q - 1)**4*(q + 1)/5
Let x(p) = -p**3 + 5*p**2 + 5*p + 8. Let d be x(6). Let h(f) = 3*f - 1. Let o be h(d). Factor 3*k**2 - k**3 + k**5 + 0*k**3 + 2*k - 2*k**o - 4*k**4 + k**4.
-k*(k - 1)*(k + 1)**2*(k + 2)
Suppose 13 = 4*n + z, -2*z + 0*z + 10 = 4*n. Suppose 3*c - 3*j = 1 + 8, n*c - 4 = -4*j. Factor 3/4*w**3 - 3/4*w + 3/2 - 3/2*w**c.
3*(w - 2)*(w - 1)*(w + 1)/4
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