a) = 3*a**3 - 6*a**2 + 9*a + 2. Let b(o) = -13*o**3 + 24*o**2 - 36*o - 9. Let d(k) = c*b(k) + 18*f(k). Factor d(y).
2*y*(y - 3)**2
Let h(a) = -7*a**2 - 1000*a + 215296. Let o(v) = 8*v**2 + 1009*v - 215296. Let z(p) = 9*h(p) + 8*o(p). Factor z(j).
(j - 464)**2
Let l(v) be the second derivative of -7/39*v**3 + 0 + 1/130*v**5 + 4/13*v**2 + 1/39*v**4 + 41*v. Determine t, given that l(t) = 0.
-4, 1
Suppose -3*h + 24 - 12 = 0. Factor -1 - 66*s**2 + 1 - 93*s**3 + 14*s**4 + 5*s**h - 10*s**4.
3*s**2*(s - 11)*(3*s + 2)
Let s = -1744917/7 - -249279. Factor -s*d - 15/7*d**2 + 27/7.
-3*(d + 3)*(5*d - 3)/7
Let k(q) be the third derivative of 2/3*q**3 + 5/12*q**4 + 2/15*q**5 + 0*q - 4 + 2*q**2 + 1/60*q**6. Find b such that k(b) = 0.
-2, -1
Let s = 344057/5 - 68811. Let x be (-17)/(-20) - 2/8. Find r, given that -x*r**2 + 0 - s*r + 3/5*r**5 + 3/5*r**3 + 7/5*r**4 = 0.
-1, 0, 2/3
Let i(m) = -10*m**4 - 139*m**3 + 4150*m**2 + 128*m - 4052. Let z(o) = o**4 + o**3 - 5*o**2 - 4. Let f(t) = -4*i(t) - 44*z(t). Determine r so that f(r) = 0.
-1, 1, 64
Let 2/15*q**5 + 0 - 26/15*q**4 - 2/5*q**3 + 52/15*q + 74/15*q**2 = 0. What is q?
-1, 0, 2, 13
Suppose -5*d = -n - 10, 136 = -4*n - 4*d + 144. Let p(q) be the first derivative of 9 + n*q - q**4 - 8/3*q**3 + 6*q**2. Factor p(j).
-4*j*(j - 1)*(j + 3)
Let c(b) be the second derivative of b**6/6 + 538*b**5 + 723610*b**4 + 1557208720*b**3/3 + 209444572840*b**2 - 7*b + 25. Suppose c(r) = 0. What is r?
-538
Let u(g) be the first derivative of 2/3*g**3 + 62 - 10*g - 4*g**2. Suppose u(v) = 0. Calculate v.
-1, 5
Let a(o) be the third derivative of 1/90*o**5 + 0*o**3 - 4 + 1/18*o**4 - 2*o**2 + 0*o. Factor a(u).
2*u*(u + 2)/3
Let p(i) be the third derivative of -i**5/30 - 21*i**4/2 + 1960*i**3/3 + i**2 + 8*i - 563. What is b in p(b) = 0?
-140, 14
Solve -1/4*b**2 - 218*b - 47524 = 0.
-436
Factor 3315 - 6466 - 3*f**3 + 0*f**3 + 3409 + 120*f**2 + 381*f.
-3*(f - 43)*(f + 1)*(f + 2)
Let b be 2*(4 - 1)*(-8)/(-24). Let f be (-4)/(-22) - (-102)/165. Factor 0 - 4/5*r**4 + 4/5*r**b - 4/5*r**3 + f*r**5 + 0*r.
4*r**2*(r - 1)**2*(r + 1)/5
Let o be 1 - (-16)/(-404)*(-190)/(-8). Let f = 113/202 - o. Factor -f*k**2 + 0*k + 2.
-(k - 2)*(k + 2)/2
Suppose 35*i - 23 = 47. Suppose 4636*p**3 - p**2 + p**5 + 3*p**2 + 4*p**i - 8*p - 6*p**4 - 4629*p**3 = 0. What is p?
-1, 0, 1, 2, 4
Let q = 81 + -71. Let 14*o**3 + 78*o**2 + o**2 - 23*o**2 - q*o**2 + 8 + 40*o = 0. Calculate o.
-2, -1, -2/7
Let f(d) be the first derivative of -d**7/126 + d**6/90 + d**5/60 - d**4/36 + 147*d + 111. Let g(k) be the first derivative of f(k). Factor g(q).
-q**2*(q - 1)**2*(q + 1)/3
Let r(v) be the third derivative of 2*v**7/105 + 29*v**6/6 - 4*v**5/15 - 290*v**4/3 - 2*v**2 - 802*v - 1. Let r(o) = 0. Calculate o.
-145, -2, 0, 2
Let n(z) be the first derivative of z**5/10 - 9*z**4/8 - 13*z**3/3 + 9*z**2 + 44*z + 866. Factor n(u).
(u - 11)*(u - 2)*(u + 2)**2/2
Let d(b) be the first derivative of -38 - 3*b**2 + 4/3*b**3 + 6*b. Let f(q) = -q**2 + q. Let p(u) = d(u) + 5*f(u). Factor p(a).
-(a - 2)*(a + 3)
Let c(w) be the first derivative of w**5/140 - 8*w**3/21 + 52*w + 168. Let t(k) be the first derivative of c(k). Factor t(r).
r*(r - 4)*(r + 4)/7
Let b(k) be the third derivative of k**5/450 + 155*k**4/18 - 517*k**3/15 - 7*k**2 + 141*k + 1. Suppose b(o) = 0. Calculate o.
-1551, 1
Suppose -16*o + 153 = -7*o. Factor -5*j**2 - 12 + 4*j**2 + 8*j - o*j + 2*j.
-(j + 3)*(j + 4)
Let h be (-58)/(0/(-7) + 7). Let f = h + 323/28. Find s such that 7/4*s - s**4 - f*s**3 + 3/2 - 2*s**2 = 0.
-2, -1, 3/4
Factor 63/2*n**2 - 276*n + 1/2*n**3 + 568.
(n - 4)**2*(n + 71)/2
Let w be 189/252*4*3. Suppose 2*l + 4*j - 12 = 0, w = 20*l - 17*l + 3*j. Suppose -4/7*z**3 - 100/7*z + l + 40/7*z**2 = 0. What is z?
0, 5
Let h be (-6)/57 + (-7820)/(-646). Let n be -3 + ((-70)/(-63))/(4/h). Let -38/3*x**2 - 28/3*x - 8/3*x**4 - n*x**5 - 8/3 - 25/3*x**3 = 0. Calculate x.
-2, -1
Suppose 0 = 2*w + 4*c - 6, c - 4*c = 0. Suppose -4*d - w*t + 841 = -998, d = 5*t + 454. Let 2*o + 0 - 2*o**3 + 1 + 458*o**2 - d*o**2 = 0. Calculate o.
-1, -1/2, 1
Let k(m) be the second derivative of -21*m**4/4 + 563*m**3/6 + 259*m**2/2 + 7*m + 1. Let p(l) = 22*l**2 - 188*l - 86. Let t(g) = -6*k(g) - 17*p(g). Factor t(q).
2*(q - 46)*(2*q + 1)
Let w(q) be the third derivative of 0*q**4 + q - 1/96*q**6 - 26*q**2 + 0*q**3 + 0 + 1/24*q**5. Factor w(u).
-5*u**2*(u - 2)/4
Suppose 110/3 - 1/3*g**2 - 17/3*g = 0. Calculate g.
-22, 5
Factor -324*v + 2/3*v**2 + 970/3.
2*(v - 485)*(v - 1)/3
Let z = 3452 - 1109. Find f, given that -526 - 3*f**4 + 7259*f - 2174 - 2039*f - 174*f**3 - z*f**2 = 0.
-30, 1
Let o(j) be the third derivative of 0*j**4 + j**2 - 1/210*j**5 + 0*j + 1/21*j**3 + 2. Factor o(r).
-2*(r - 1)*(r + 1)/7
Let j(b) be the second derivative of b**4/30 + 7*b**3/5 + 38*b**2/5 - b - 206. Factor j(p).
2*(p + 2)*(p + 19)/5
Let m(o) be the first derivative of 2/27*o**3 + 0*o - 11*o**2 - 20 + 1/108*o**4 - 1/270*o**5. Let w(v) be the second derivative of m(v). Solve w(s) = 0.
-1, 2
Factor 32812 - 106*o + 94*o**2 - o**5 - 27*o - 17*o**4 - 32761 + 6*o**3.
-(o - 1)**3*(o + 3)*(o + 17)
Let z(o) = o**2 - 2*o + 9. Let i be z(2). Let -14*d**5 - i*d - 3*d**5 + 6*d**3 + 20*d**5 + 12*d**2 - 12*d**4 = 0. Calculate d.
-1, 0, 1, 3
Let q = 4859/6965 - 136/1393. Factor -q*s**3 + 0 + 18/5*s**2 - 3*s.
-3*s*(s - 5)*(s - 1)/5
Let y be (-1)/(3/(-219) + 0). Let h = y + -71. Factor 7*m**3 - 4*m**3 + 6*m**4 - h*m**4 + 129*m**2 - 130*m**2.
m**2*(m + 1)*(4*m - 1)
Let a(f) = -347*f + 2*f**2 - 18 + 354*f - 5*f**2 - 20*f**2. Let j(k) = 0*k + 4*k**2 + 3 + 3*k - 4*k. Let g(y) = 6*a(y) + 34*j(y). Factor g(n).
-2*(n - 3)*(n - 1)
Suppose -63 = 7*v, -29*k - 8 = -24*k + 2*v. Suppose 2/11*l**k - 2/11 + 0*l = 0. Calculate l.
-1, 1
Let u be (-2)/3 + 3/(-9). Let x be -3*(-1 + u - 0). Factor 26*k - x + 4*k**2 - 22*k - 2*k**2.
2*(k - 1)*(k + 3)
Let j(c) be the first derivative of c**3/6 + 2369*c**2/4 - 1185*c - 7121. Factor j(a).
(a - 1)*(a + 2370)/2
Let g = -4108/5 + 12326/15. Let i(w) be the second derivative of -g*w**6 - 8/3*w**3 + 4/5*w**5 + 0 + 29*w + 6*w**2 - 2/3*w**4. Determine m, given that i(m) = 0.
-1, 1, 3
Let j(y) be the second derivative of 30*y**7/7 + 88*y**6 + 253*y**5/4 - 1895*y**4/4 + 290*y**3 - 70*y**2 + 3618*y. Let j(m) = 0. Calculate m.
-14, -2, 1/6, 1
Suppose -61/7*b**2 - 125/7*b - 9 + 1/7*b**3 = 0. Calculate b.
-1, 63
Suppose 12 - 14 = 46*b - 94. What is m in 0 + 1/10*m**b + 2/5*m = 0?
-4, 0
Let r(n) be the third derivative of -n**5/180 + 7*n**4/72 + 4*n**3/9 - n**2 - 11*n. What is d in r(d) = 0?
-1, 8
Determine k, given that -16*k + 50/3*k**3 + 2*k**4 - 56/3 - 2/3*k**5 + 50/3*k**2 = 0.
-2, -1, 1, 7
Let w(s) be the third derivative of 13/54*s**4 + s**2 - 169/27*s**3 + 0 - 13*s - 1/270*s**5. Find h such that w(h) = 0.
13
Suppose 374*l = 1343*l - 1938. Find v, given that 0*v - 18/7*v**3 + 4/7*v**4 - 8/7 + 22/7*v**l = 0.
-1/2, 1, 2
Let v = 1/380319 - -3422867/1521276. Factor 21/4*b**2 + 6 - 27/2*b + v*b**3.
3*(b - 1)*(b + 4)*(3*b - 2)/4
Let w(m) be the first derivative of m**5/15 + 2*m**4/3 + 2*m**3 - m**2 - 51*m - 228. Let u(f) be the second derivative of w(f). Solve u(n) = 0.
-3, -1
Suppose -4*a + 5*l + 28 = -3*a, a - 4*l - 23 = 0. Factor -3*z**3 - 17*z**3 - 51*z + 4*z**4 - 12*z**a - 45*z + 88*z**2 + 36.
4*(z - 3)**2*(z - 1)**2
Factor -23556*w + 129149*w + 3563*w**2 - 1250*w**2 - 552578*w - 76557 + 521232 - 3*w**3.
-3*(w - 385)**2*(w - 1)
Let j(q) be the first derivative of q**5/25 - 449*q**4/10 + 13440*q**3 + 449*q**2/5 - 201601*q/5 - 1035. Factor j(x).
(x - 449)**2*(x - 1)*(x + 1)/5
Let u(r) be the third derivative of 0*r**5 + 0*r**4 - 1/945*r**7 + 0 + 0*r - 14*r**2 + 1/270*r**6 + 0*r**3. Factor u(w).
-2*w**3*(w - 2)/9
Factor 108/7*b**2 + 2/7*b**4 + 40/7*b**3 + 34/7 + 104/7*b.
2*(b + 1)**3*(b + 17)/7
Let q be 37/3 - 91/(3913/516). Factor -q*l**2 - 46/3*l - 529/3.
-(l + 23)**2/3
Suppose -1301 = 2*g - 289. Let t = 4556/9 + g. Factor -2/9*s - t*s**2 + 4/9.
-2*(s - 1)*(s + 2)/9
Let f(l) = -2*l**3 + l**2 + 2*l - 1. Let y(d) = 35*d**3 + 10*d**2 - 15*d - 30. Let u be (1 - -1)*((-112)/8)/(-28). Let i(g) = u*y(g) + 15*f(g). Factor i(k).
5*(k - 1)*(k + 3)**2
Let c(o) = 48*o**3 - 331*o**2 + 381*o - 121. Let j = 244 + -243. Let f(s) = -3*s**3 + s**2 - s + 1. Let w(z) = j*f(z) + c(z). F