*o**2 - 2*o + 331. Factor k(y).
(y + 4)*(y + 309)
Let o(r) be the second derivative of r**5/5 + 83*r**4/3 - 340*r**3/3 + 3*r + 7. Factor o(q).
4*q*(q - 2)*(q + 85)
Let p(r) = -r**4 + 562*r**3 + 1126*r**2 - 2*r + 10. Let b(g) = g**3 + 3*g**2 + g - 5. Let t(k) = 2*b(k) + p(k). Find m, given that t(m) = 0.
-2, 0, 566
Let q = -228103/4 - -57027. Factor 1/2*r**4 - 3*r**3 + 0 - q*r + 7/2*r**2 + 1/4*r**5.
r*(r - 1)**3*(r + 5)/4
Solve 0 - 2/15*r**5 + 26/15*r**3 - 8/5*r**2 + 0*r + 0*r**4 = 0 for r.
-4, 0, 1, 3
Let p(b) be the third derivative of -1/90*b**5 - 41/72*b**4 - 16 - 10/9*b**3 + 0*b - 2*b**2. Suppose p(q) = 0. Calculate q.
-20, -1/2
Suppose -215*x**2 + 674*x + 5*x**3 - 450 + 450 + 726*x = 0. Calculate x.
0, 8, 35
Let b(l) = -17*l**2 - 414*l - 77849. Let z(f) = 2*f**2 - 18*f + 1. Let n(a) = 3*b(a) + 24*z(a). Factor n(c).
-3*(c + 279)**2
Let z(a) be the second derivative of -a - 1/90*a**6 - 14 + 1/6*a**3 - 1/36*a**4 - 1/20*a**5 + 1/3*a**2. Suppose z(q) = 0. What is q?
-2, -1, 1
Let i(u) = 7*u**2 - 4*u + 2. Let r(a) = -6*a**2 + 2*a - 2. Let y(o) = -5*i(o) - 6*r(o). Let k be y(-8). Suppose 0*t + 1/3*t**3 + 1/3*t**k + 0 = 0. Calculate t.
-1, 0
Let 8 - 2*p**2 + 1/2*p - 1/8*p**3 = 0. Calculate p.
-16, -2, 2
Let n(q) be the first derivative of q**3/3 - 234*q**2 + 54756*q - 2277. Factor n(f).
(f - 234)**2
Let p(f) = 25*f**2 - 4547*f + 631654. Let s(o) = -3*o**2 + 568*o - 78957. Let w(b) = 2*p(b) + 17*s(b). Factor w(r).
-(r - 281)**2
Let s = 5448 + -5444. Let p(h) be the second derivative of 0 - h - 2/15*h**3 + 1/30*h**s - 3/5*h**2. Factor p(z).
2*(z - 3)*(z + 1)/5
Let w(c) = -4 + 10*c**2 + 100*c - 203*c + 104*c. Let o(p) = -15*p**2 - 2*p + 6. Let m(z) = -5*o(z) - 7*w(z). Factor m(r).
(r + 1)*(5*r - 2)
Let a = -202 + 560. Factor v**2 - 178*v - 3 + a*v - 184*v - 2*v**2.
-(v + 1)*(v + 3)
Let i be 1182/(-6501)*(-2 - (-74)/48). Let v(m) be the second derivative of -15*m + i*m**3 + 0 - 1/24*m**4 + 0*m**2. Suppose v(h) = 0. Calculate h.
0, 1
Let p(m) = 2*m + 36. Let u be p(21). Let w = -76 + u. Find i, given that -142 - 3*i**w + 2*i**4 + 10*i + 150 - i**4 - 4*i**3 = 0.
-1, 2, 4
Let k(c) be the third derivative of 5/12*c**4 + 0*c + 1/540*c**6 - c**2 + 4/45*c**5 - 49 + 22/27*c**3. Factor k(p).
2*(p + 1)**2*(p + 22)/9
Suppose -a = -28 - 4. Suppose -14*c + a*c - 54 = 0. Factor 0*b + 2/15*b**4 + 0 - 8/15*b**c + 8/15*b**2.
2*b**2*(b - 2)**2/15
Let n(z) be the first derivative of -z**6/6 - 2*z**5 - 9*z**4 - 58*z**3/3 - 43*z**2/2 - 12*z + 4916. Factor n(x).
-(x + 1)**3*(x + 3)*(x + 4)
Let k = -367 + 369. Suppose 3*h = -h + v + 12, -k*h + 3*v + 16 = 0. Factor 2/3*r**h + 8/3*r + 2.
2*(r + 1)*(r + 3)/3
Suppose -s + 10 = 9. Let a be (1 + s - (4 - -1)) + 6. Factor 4*y**4 - 2*y**3 + a*y**3 - 2*y**4 - 2*y**2 - y**5.
-y**2*(y - 2)*(y - 1)*(y + 1)
Let n(s) be the first derivative of -3/2*s**2 - 1/9*s**3 - 31 + 0*s. Factor n(m).
-m*(m + 9)/3
Let o(g) be the third derivative of g**7/105 + 122*g**6/15 - 49*g**5 + 368*g**4/3 - 491*g**3/3 - 2*g**2 - 2625*g. Factor o(d).
2*(d - 1)**3*(d + 491)
Let p(n) be the second derivative of n**4/4 + 179*n**3/6 - 29*n**2 + 9*n - 15. Let d be p(-60). Find g such that g**d + 20/9*g + 4/9 = 0.
-2, -2/9
Let o(f) = -80*f - 61 + 4*f**2 - 4*f**2 - 11 + 5*f**2. Suppose -24*u + 130 = -19*u. Let b(d) = -d**2 + 20*d + 18. Let j(l) = u*b(l) + 6*o(l). Factor j(w).
4*(w + 1)*(w + 9)
Let f(d) = 782*d**4 - 954*d**3 + 179*d**2 - 7*d. Let j(v) = 4*v**4 - 3*v**4 + 167*v - 168*v + v**3 - v**2. Let h(r) = -2*f(r) - 4*j(r). Factor h(w).
-2*w*(w - 1)*(28*w - 3)**2
Let -36*n**2 - 3492*n - n**3 + 30*n**2 - 72 - 33*n**2 + 3382*n = 0. Calculate n.
-36, -2, -1
Let d(c) = 4*c**5 + 17*c**4 - 20*c**3 - 12*c**2 + 26*c. Let k(j) = 10*j**5 + 42*j**4 - 50*j**3 - 30*j**2 + 64*j. Let q(x) = -12*d(x) + 5*k(x). Factor q(y).
2*y*(y - 1)**2*(y + 1)*(y + 4)
Let p be ((-36)/108)/((-3)/18). Factor 945*t**p - 942*t**2 + 7*t**4 + 17*t**4 - 24*t**3 + 24*t**4.
3*t**2*(4*t - 1)**2
Suppose 12*r - 21*r + 18 = 0. Factor 497*p**2 - 1 - 2 + 100*p - 2 - 997*p**r.
-5*(10*p - 1)**2
Let s(b) be the second derivative of b**6/135 - b**5/6 + 13*b**4/9 - 164*b**3/27 + 40*b**2/3 - 287*b. Factor s(d).
2*(d - 6)*(d - 5)*(d - 2)**2/9
Let o = 215/111 - 47/37. Factor -5618/3 - 212/3*u - o*u**2.
-2*(u + 53)**2/3
Let r(v) be the second derivative of -1/100*v**5 - 1/4*v**2 + 0 - 7/120*v**4 + 7/30*v**3 + 75*v. Factor r(s).
-(s - 1)*(s + 5)*(2*s - 1)/10
Let q(h) be the third derivative of -h**6/480 + 53*h**5/240 - 17*h**4/16 + 24*h**2 + 18*h. Factor q(d).
-d*(d - 51)*(d - 2)/4
Let r(p) be the first derivative of 2/15*p**3 + 46 + 8/5*p + p**2. Factor r(b).
2*(b + 1)*(b + 4)/5
Let c = -503672 - -503674. Factor 6 + 606*q + 30603/2*q**c.
3*(101*q + 2)**2/2
Let r(i) be the third derivative of -i**5/12 + 79*i**4/24 + 17*i**3 + 4*i**2 - 322. Let r(g) = 0. Calculate g.
-6/5, 17
Let r(l) = -29*l - 1622. Let n be r(-56). Solve 0 - 1/2*h**n - 5*h = 0.
-10, 0
Let b(f) be the third derivative of f**5/2 - 25*f**4/12 - 10*f**3/3 - 21*f**2 + 2. Let z(c) = c**2 + 4. Let r(u) = -b(u) + 25*z(u). Solve r(m) = 0 for m.
-2, 12
Let l(t) = 3*t**2 + 882*t - 929. Let y(r) = -6*r**2 - 1776*r + 1859. Let c(i) = -7*l(i) - 4*y(i). Find k such that c(k) = 0.
-311, 1
Let o(n) = n**2 + 7848*n - 7843. Let l(h) = -10*h**2 - 94180*h + 94115. Let q(f) = 2*l(f) + 25*o(f). Find a such that q(a) = 0.
-1569, 1
Suppose 447 + 523 = 714*p - 777 - 395. Determine k, given that 960/17*k**p + 20480/17*k + 2/17*k**5 + 70/17*k**4 + 24576/17 + 6400/17*k**2 = 0.
-8, -3
Let r(g) be the second derivative of -g**7/210 - g**6/5 - 18*g**5/5 - 36*g**4 - 216*g**3 - 3888*g**2/5 + 5*g - 396. Find c such that r(c) = 0.
-6
Let k(b) be the first derivative of -2*b**7/105 - b**6/10 - b**5/5 - b**4/6 - 34*b**2 - 62. Let q(a) be the second derivative of k(a). Factor q(m).
-4*m*(m + 1)**3
Let o = 343 + 72. Factor -7*k**2 + 5*k**2 - 6084 - 2*k**2 + o*k - 103*k.
-4*(k - 39)**2
Let i(k) be the first derivative of -k**8/1680 - k**7/840 + k**6/180 - 83*k**3/3 - 49. Let l(f) be the third derivative of i(f). Factor l(o).
-o**2*(o - 1)*(o + 2)
Let z(s) be the third derivative of -s**6/540 - 32*s**5/135 - 121*s**4/108 + 62*s**3/9 - 109*s**2 + 2*s - 1. Determine t, given that z(t) = 0.
-62, -3, 1
Let y(o) = -11*o + 1. Let h(f) = -f**2 - 168*f - 102. Let b(c) = -h(c) + 10*y(c). Factor b(u).
(u + 2)*(u + 56)
Factor -52/5 - 2/5*z**2 + 54/5*z.
-2*(z - 26)*(z - 1)/5
Let z be (95 - (0 - 0)) + 4. Let y be (-378)/z - (2 - (-1 - -7)). Find t such that -2/11*t**2 - y*t + 0 = 0.
-1, 0
Let z(x) be the first derivative of 3/4*x - 1/8*x**4 - 50 + 1/20*x**5 - 1/3*x**3 + 1/4*x**2. Suppose z(y) = 0. What is y?
-1, 1, 3
Let f(d) be the third derivative of 27/20*d**5 + 0*d - 13/96*d**6 + 1/210*d**7 + 36*d**2 - 469/96*d**4 + 0 + 49/12*d**3. Factor f(w).
(w - 7)**2*(w - 2)*(4*w - 1)/4
Let y(f) = -f**2 - 4*f + 29. Let t be y(-9). Let p be t/(-2) - 112/15. Determine s so that 2/15*s**2 - p*s**5 - 14/15*s**4 + 0 - 4/15*s**3 + 0*s = 0.
-1, 0, 1/4
Let z(d) = -d**4 - d**3 + 3*d**2 + 3*d. Let j(c) = 5*c**4 - 4*c**3 - 311*c**2 + 3030*c. Let h(y) = j(y) + 4*z(y). Solve h(a) = 0 for a.
-18, 0, 13
Find m such that -104*m - 60*m**3 + 40*m - 1371*m**5 + 1355*m**5 + 140*m**4 - 280*m**2 = 0.
-1, -1/4, 0, 2, 8
Let a(r) be the first derivative of -32*r**2 + 386*r - 549. Let s be a(6). Factor -65/2*c - 35/2*c**3 - 5/2*c**4 - 10 - 75/2*c**s.
-5*(c + 1)**3*(c + 4)/2
Let p(j) be the third derivative of -1/8*j**6 + 0 - 4*j**4 + 56*j**2 + 0*j - 23/20*j**5 - 6*j**3. Factor p(r).
-3*(r + 2)**2*(5*r + 3)
Let p(n) be the third derivative of 2*n**7/105 - n**6/2 - 241*n**5/15 + 1285*n**4/2 - 2400*n**3 + 2327*n**2. Solve p(b) = 0.
-16, 1, 15
Let y(o) be the third derivative of o**7/630 - 2*o**6/45 + 71*o**5/180 - 29*o**4/18 + 10*o**3/3 - 2324*o**2. Let y(k) = 0. What is k?
1, 2, 3, 10
Let y(d) be the third derivative of -d**5/110 - 54*d**4/11 - 639*d**3/11 + 132*d**2 + 24*d. Suppose y(p) = 0. What is p?
-213, -3
Factor 216*b**2 - 7560*b + 2857680 - 445*b**2 + 234*b**2.
5*(b - 756)**2
Suppose 0 = -40*t + 45*t - 45. Suppose -4*m - t + 14 = -z, 4*z = 5*m + 2. Factor 3/7*p**3 + 1536/7 + 576/7*p + 72/7*p**m.
3*(p + 8)**3/7
Let b(t) be the second derivative of t**7/6300 + t**6/2700 - t**5/450 - 49*t**3/3 + 8*t - 3. Let o(j) be the second deri