*2. Factor x(y).
-y**2*(y - 1)**2/6
Let g(c) be the second derivative of 3*c**5/110 + c**4/33 + 399*c + 2. Factor g(v).
2*v**2*(3*v + 2)/11
Let f(p) be the second derivative of -p**5/80 + 25*p**4/12 + p**3/24 - 25*p**2/2 - 673*p + 3. Factor f(m).
-(m - 100)*(m - 1)*(m + 1)/4
Let r be 5/(-9 - -4)*(0 - 5). Let -381*q**2 + 7*q**3 + 3*q**4 + 17*q**3 + 447*q**2 - r*q**3 + 50*q**3 = 0. What is q?
-22, -1, 0
Let r(y) be the second derivative of -y**4/4 + 50*y**3 + 306*y**2 - 176*y. Factor r(q).
-3*(q - 102)*(q + 2)
Let o(j) be the third derivative of j**7/525 - 3*j**6/100 + j**5/75 + 4*j**4/5 - 2*j**2 - 233*j - 1. Solve o(h) = 0.
-2, 0, 3, 8
Let s(d) be the second derivative of -3*d**5/100 - 49*d**4/10 - 96*d**3/5 - 200*d. Factor s(u).
-3*u*(u + 2)*(u + 96)/5
Find i, given that -534*i + 36*i**3 - 648 - 1049*i + 516 - 4740*i**2 = 0.
-1/6, 132
Let i(l) = 14*l - 18. Let r be i(2). Suppose r = 4*m - s + 4*s, s - 18 = -5*m. Factor -6 - 34*y - 47*y - m*y**2 + 91*y.
-2*(y - 1)*(2*y - 3)
Suppose 5*v = f - 100, -5*f - 1937*v + 1933*v - 51 = 0. Factor -6*n**3 + 70*n**4 + 32*n - 80*n**2 + 49/2*n**f + 0.
n*(n + 2)**2*(7*n - 4)**2/2
Suppose 419*f + 168 = 880*f - 419*f. Let s(w) be the first derivative of 0*w - 3/8*w**f - 3*w**3 + 26 - 15/4*w**2. Factor s(j).
-3*j*(j + 1)*(j + 5)/2
Suppose -49 = -6*x - 25. Find v such that -v**x - v**5 - 30*v**3 + 26*v**3 - 5*v**4 - v**5 = 0.
-2, -1, 0
Let g(m) = -m**2 + 291*m + 586. Let n be g(-2). Find b such that 4/7*b**5 - 100/7*b**3 - 72/7*b**2 + n - 24/7*b**4 + 0*b = 0.
-2, -1, 0, 9
Factor 410*r**3 + 43 + 255*r + 83 - 407*r**3 + 132*r**2.
3*(r + 1)**2*(r + 42)
Factor 5*z**2 - 326 - 44*z + 0*z**2 - 170 + 256 - z**2.
4*(z - 15)*(z + 4)
Let z(j) = 18*j**3 + 44*j**2 + 50*j - 322. Let r(q) = -79*q**3 - 174*q**2 - 201*q + 1289. Let u(k) = -2*r(k) - 9*z(k). Factor u(c).
-4*(c - 2)*(c + 4)*(c + 10)
Let t(i) = 16*i**3 - 24*i**2 - 284*i - 244. Let w(v) = 13*v**3 - 28*v**2 - 284*v - 243. Let b(m) = 3*t(m) - 4*w(m). Factor b(d).
-4*(d - 15)*(d + 1)*(d + 4)
Let m(d) = -d**2 - 5*d - 4. Let l be m(-3). Let h(r) = 16*r - 4. Let j be h(l). Find g, given that -16*g**3 - 40*g**2 - 44 - 40*g**2 - j - 132*g = 0.
-2, -3/2
Let 3256*m - 1663 - 4*m**2 + 347 - 1936*m = 0. What is m?
1, 329
Let c(j) = -13*j**2 - 45*j + 4. Let a be c(-3). Solve a*d - 46*d**2 - 4*d**3 + 30*d + 15*d**3 + 90 - 98 = 0.
2/11, 2
Let m(t) be the first derivative of 4*t**5/5 + 5*t**4 - 8*t**3 - 5823. Factor m(s).
4*s**2*(s - 1)*(s + 6)
Let a be 456/741*(-286)/(-88). Factor -20/3*r + 2/3*r**3 + 2/3*r**a + 16/3.
2*(r - 2)*(r - 1)*(r + 4)/3
Let f(s) = 5188*s + 1679608. Let b(m) = m**2 + 15563*m + 5038826. Let d(l) = 4*b(l) - 11*f(l). Suppose d(j) = 0. What is j?
-648
Let a(r) be the first derivative of -7*r**3/3 - 81*r**2/2 - 273. Solve a(u) = 0.
-81/7, 0
Let i(c) = -c**3 + 11*c**2 - 58*c + 640. Let q be i(11). Determine p, given that -63/4*p - 1/4*p**3 - 15/4*p**q - 49/4 = 0.
-7, -1
Let h(g) be the third derivative of -g**7/105 - 3*g**6/40 - 97*g**5/480 - 3*g**4/16 - g**3/12 - g**2 + g + 48. Factor h(x).
-(x + 2)**2*(4*x + 1)**2/8
Let o(u) = 8*u**3 + 467*u**2 - 4075*u + 8231. Let r(d) = 7*d**3 + 472*d**2 - 4076*d + 8236. Let s(j) = 4*o(j) - 5*r(j). Find n such that s(n) = 0.
-172, 4
Find n such that -5406*n + 4920*n**4 + 75/2*n**5 - 1203*n**2 + 21267/2*n**3 + 1548 = 0.
-129, -2, -1, 2/5
Suppose -f - 106 = -2*f + y, 2*f + y = 227. Suppose -238*c**4 + 117*c**4 - 2*c**5 + 22*c**3 - 8*c**2 - 2*c**5 + f*c**4 = 0. What is c?
-4, 0, 1/2, 1
Let k(z) = 4*z**2 - 2*z - 2. Suppose -5*p - 2*v - 3 = 0, 4*p + 5*v = 1 - 0. Let s be k(p). Factor -1/4*d**5 - 1/2*d**s + 1/2*d**2 + 0*d**3 + 1/4*d + 0.
-d*(d - 1)*(d + 1)**3/4
Suppose -25 + 41 = 2*j. Suppose -6*c + j*c - 8 = 0. Factor 95*b**3 + 12*b + 0*b**4 - 32*b + 55*b**2 + 20*b**c.
5*b*(b + 1)*(b + 4)*(4*b - 1)
Let a be ((-11)/(-2) - 6)*12. Let o(x) = 16*x**2 + 14*x - 6. Let j(r) = 14*r**2 + 13*r - 7. Let d(p) = a*j(p) + 5*o(p). Let d(b) = 0. Calculate b.
-3, 1
Let w(f) be the second derivative of -35/6*f**4 - 23/2*f**2 - 26*f + 0 - 1/12*f**5 - 490/3*f**3. Let t(x) be the first derivative of w(x). Factor t(a).
-5*(a + 14)**2
Suppose 28 = -k - 5*m + 45, -2*m - 4 = -5*k. Factor 28308 - 28308 + k*p**2 - 80*p.
2*p*(p - 40)
Factor -2*d**5 + 2716274*d**3 - 150*d**4 + 250 + 40 + 460*d**2 + 735*d - 2716404*d**3 - 3*d**5.
-5*(d - 2)*(d + 1)**3*(d + 29)
Factor -3123/8*f**2 - 5043/8 - 6*f**4 + 111*f**3 - 4551/4*f.
-3*(f + 1)**2*(4*f - 41)**2/8
Find r, given that 12487 - 15*r**3 + 553*r - 189*r**2 + 479*r - 162*r**2 - 5888 - 6131 = 0.
-26, -2/5, 3
Let k be (-852)/(-360) + (4*5/160)/((-15)/(-36)). What is w in 128/3 - 34/3*w**3 + k*w**2 + 160/3*w - 1/3*w**5 - 11/3*w**4 = 0?
-4, -1, 2
Let u(h) = -h**3 - 2*h**2 - 4*h + 4. Suppose 30*o - 174 = 28*o. Let a = o + -80. Let k(n) = 2*n**3 + 3*n**2 + 7*n - 7. Let f(c) = a*u(c) + 4*k(c). Factor f(y).
y**2*(y - 2)
Let f = 426289 - 426286. Solve -69/4*d - 27/2 + 5*d**2 + 3/4*d**f = 0.
-9, -2/3, 3
Let p(v) be the third derivative of 13*v**6/24 + 8*v**5/3 - 45*v**4/8 - 15*v**3 + 17*v**2 + 12. Solve p(m) = 0 for m.
-3, -6/13, 1
Factor -596748 - 1/3*c**2 + 892*c.
-(c - 1338)**2/3
Determine c so that 284/7*c**3 - 568/7 + 2/7*c**4 - 6/7*c**2 - 856/7*c = 0.
-142, -1, 2
Let u be (11/5 - 1) + (-1103232)/(-640). Let c = -1723 + u. Factor 2/5*l - 1/5 - 1/5*l**c.
-(l - 1)**2/5
Let a be 18 + (-7 + 5)*6. Let u(m) be the second derivative of 1/2*m**2 + 1/30*m**a + 0 + 6*m - 1/6*m**3 - 1/6*m**4 - 1/42*m**7 + 1/10*m**5. Factor u(v).
-(v - 1)**3*(v + 1)**2
Let -16601*s**2 - 2*s + 11 - 2*s**3 + 16580*s**2 + 14*s = 0. Calculate s.
-11, -1/2, 1
Let y be ((-187)/440 + 68/85)*(-8)/(-12). Let y*k**3 - 1/2*k**2 + 1/2 - 1/4*k = 0. Calculate k.
-1, 1, 2
Let n = -359 + 361. Let l(d) be the second derivative of -12*d + 0 - 1/30*d**3 + 1/10*d**n + 1/100*d**5 - 1/60*d**4. Suppose l(u) = 0. What is u?
-1, 1
Let k(x) be the first derivative of -x**6/3780 + x**5/420 + x**4/63 - 17*x**3/3 + 3*x + 58. Let b(v) be the third derivative of k(v). Factor b(d).
-2*(d - 4)*(d + 1)/21
Let i(g) = g**2 + 175*g + 2502. Let p(w) = -2*w**2 - 528*w - 7504. Let c(s) = 8*i(s) + 3*p(s). Factor c(x).
2*(x - 104)*(x + 12)
Suppose 43 - 3 = p. Factor -169*h**2 - p*h - 186*h**2 + 5*h**4 + 365*h**2 + 25*h**3.
5*h*(h - 1)*(h + 2)*(h + 4)
Let b(j) be the first derivative of -j**4/28 - 23*j**3/21 - 43*j**2/14 - 3*j + 1580. Determine m, given that b(m) = 0.
-21, -1
Let n(s) = 6*s**2 + 637*s - 153. Let i(o) = -2*o**2 - 212*o + 54. Let w(v) = -17*i(v) - 6*n(v). Solve w(l) = 0.
-109, 0
Let n(y) be the second derivative of -y**7/252 + 89*y**6/180 - 307*y**5/20 - 1541*y**4/18 - 1058*y**3/9 + 341*y. Let n(l) = 0. Calculate l.
-2, -1, 0, 46
Let k = -590 - -586. Let w be ((-51)/60)/1 + (-5)/k. Determine a, given that 11/5*a**2 + 4/5*a**4 - w*a - 13/5*a**3 + 0 = 0.
0, 1/4, 1, 2
Let w(u) be the third derivative of u**6/120 + 167*u**5/10 + 27889*u**4/2 + 18629852*u**3/3 - u**2 + 523. Factor w(n).
(n + 334)**3
Let d(m) be the third derivative of 2*m - 5/38*m**4 - 29/57*m**3 + 0 - 127*m**2 - 1/570*m**5. Solve d(f) = 0.
-29, -1
Determine x so that -56/3*x**3 - 160/3*x**2 + 208*x + 384 + 16/3*x**4 - 1/3*x**5 = 0.
-2, 6, 8
Let r(m) be the second derivative of 52/9*m**2 - 8/9*m**3 - 1/54*m**4 + 0 - 211*m. Suppose r(b) = 0. What is b?
-26, 2
Suppose -x - 2*m = -7, 3 = -5*x + 4*x + 3*m. Let d(c) = 17*c - 51. Let h be d(x). Determine k, given that 5/3*k**2 + h + 2/3*k = 0.
-2/5, 0
Let b(z) be the first derivative of 4*z**3/3 - 9*z**2/2 + 2*z - 15. Let i be b(2). Let -1/6*m**3 - 1/2*m**2 + i - 1/3*m = 0. Calculate m.
-2, -1, 0
Let x = 3298717/2 + -1648924. Find o, given that 94/3*o - x*o**3 + 847/6*o**4 - 4 + 23*o**2 = 0.
-2/7, 2/11, 3
Let p(k) be the first derivative of -34/9*k**2 - 4/45*k**5 - 1/3*k**4 + 128 + 20/9*k**3 + 8/3*k. Factor p(q).
-4*(q - 1)**3*(q + 6)/9
Let y be (-21)/6*864/378 + 12. Factor 1/3*c**4 - 16/3 + 4/3*c - 7/3*c**3 + y*c**2.
(c - 4)*(c - 2)**2*(c + 1)/3
Let b be 86/774*(-2 + 2). Let x(w) be the second derivative of b - 4/3*w**3 - 1/3*w**4 - 1/15*w**6 + 2/5*w**5 + 3*w**2 - 22*w. What is p in x(p) = 0?
-1, 1, 3
Let x be (0 + -10 - -4)*((-22)/231)/((-28)/(-245)). Determine r so that 5/2*r**3 - 14*r + 1/4*r**5 + x*r**2 + 8 - 7/4*r**4 = 0.
-2, 1, 2, 4
Let n = 996050/145257 + -2/1