 1/96*q**4 - 17*q. Factor w(d).
(d - 7)*(d - 1)/8
Let j(l) = -136*l + 5307. Let f be j(39). Let c(o) be the third derivative of 5/2*o**f + 0 + 7/20*o**5 - 11/8*o**4 - 1/40*o**6 - 52*o**2 + 0*o. Factor c(p).
-3*(p - 5)*(p - 1)**2
Let u be 40/15 + -1*(-1)/3. Let s be u + (8/(-12)*-3 - 3). Factor -2*x**3 + 0*x**2 - 8*x**s - 6*x - 2 + 2*x**2.
-2*(x + 1)**3
Let u be 66/8 - (-2)/(-8). Let h(x) = -x**2 + 12*x - 15. Let v be h(u). Find j, given that -7 - 10*j**3 + 7 + 25*j**2 - 2*j + v*j = 0.
-1/2, 0, 3
Let j = 0 + 0. Let d be 3 - 198/77 - (4 + (-535)/140). Solve -3/4*b**2 + j + 3/4*b**3 - 1/4*b**4 + d*b = 0.
0, 1
Let g(y) be the first derivative of y**3/4 + 873*y**2/4 - 1749*y/4 - 5206. Factor g(r).
3*(r - 1)*(r + 583)/4
Suppose -62 + 266 = 6*q + 6*q. Let l(a) be the first derivative of q + 0*a**2 + 4*a**3 + 0*a + 3/4*a**4. Factor l(n).
3*n**2*(n + 4)
Let p(r) be the first derivative of r**5/30 + 9*r**4/4 + 26*r**3/3 + 59*r**2/2 - 6. Let c(y) be the second derivative of p(y). Find o, given that c(o) = 0.
-26, -1
Let s(d) = 6*d**5 - 141*d**4 - 192*d**3 - 36*d**2 + 3*d. Let b(j) = 2*j**5 - j**2 - j. Let x(h) = -3*b(h) - s(h). Find r such that x(r) = 0.
-1, -1/4, 0, 13
Let -501/4*o + 9/4*o**2 - 42 = 0. Calculate o.
-1/3, 56
Let k(o) = o**3 - 12*o**2 + 16*o + 15. Let s be k(11). Factor 7*v**5 + 137*v**3 - 132*v**3 + 240*v**3 + 6*v**5 - s*v**4 - 8*v**5.
5*v**3*(v - 7)**2
Let a(v) be the second derivative of 5*v**7/14 + 13*v**6/6 + 19*v**5/4 + 55*v**4/12 + 5*v**3/3 - 304*v. Find s such that a(s) = 0.
-2, -1, -1/3, 0
Solve 22*i**2 - 106*i**3 + 360*i + 207*i**3 - 8400 + 66*i**2 - 98*i**3 + 11*i**2 = 0.
-20, 7
Let o(r) be the second derivative of r**9/10080 + r**8/26880 - r**7/1680 - r**6/2880 + r**4/4 - 23*r. Let n(b) be the third derivative of o(b). Solve n(m) = 0.
-1, -1/6, 0, 1
Let l(i) = -17*i**2 + 244*i - 702. Let a be l(4). Factor -2 - 7/6*c - 1/6*c**a.
-(c + 3)*(c + 4)/6
Let q = 270 + -268. Let c(i) = 2*i**2 + 3*i + 1. Let w be c(-5). Factor -64*j**3 + 20*j**q + w*j**4 + 22*j - 28*j + 14*j.
4*j*(j - 1)**2*(9*j + 2)
Suppose -w + 2 = -4*c, -4*w + 8 = 2*c - 5*c. Suppose -w*f + 6*i + 40 = 2*i, 5*i + 32 = f. Find q, given that 4*q - 1 + 171*q**4 - 155*q**4 - f*q**2 + 1 = 0.
-1, 0, 1/2
Suppose 25584/7*r - 53792/7 + 648/7*r**2 + 4/7*r**3 = 0. What is r?
-82, 2
Suppose -186*q**2 - 994*q**4 + 3*q + 77*q + 2*q**5 + 134*q**3 + 964*q**4 = 0. What is q?
0, 1, 5, 8
Suppose 0 = 29*x + 52 + 1543. Let r be (-80)/14*(8 + 473/x). Factor -2/7*d**5 + 20/7*d**2 - r*d**3 - 6/7*d + 0 + 12/7*d**4.
-2*d*(d - 3)*(d - 1)**3/7
Let j(o) = -9*o**3 + 1703*o**2 + 3450*o + 1738. Let b(y) = -y**3 + 213*y**2 + 431*y + 217. Let z(d) = -17*b(d) + 2*j(d). Solve z(x) = 0 for x.
-213, -1
Suppose 0 = 2*v - 3*p + 17, -105*v + 102*v - 1 = -p. Determine m, given that 1/4*m**3 + 0 + 3/4*m**v + 1/2*m = 0.
-2, -1, 0
Factor -3595034*a + 18394160 + a**4 - 419*a**3 + 438918*a**2 - 729*a**3 - 52146786*a - 74576047.
(a - 383)**3*(a + 1)
Let f(o) = -o**2 - 17*o - 14. Let u be f(-10). Suppose u*p + 52*p**4 - 90*p**2 - 8 - 26*p**3 + 38*p**3 - 62*p**4 + 40*p**3 = 0. What is p?
1/5, 1, 2
Suppose 3*j + 15 = 0, -3*r - 3*j - j = 5. Let h(f) = -f**2 + 5*f - 2. Let l be h(3). Suppose -42*d**2 + 4 + 37*d**2 - r*d - l = 0. What is d?
-1, 0
Let x(v) be the third derivative of -7*v**5/270 + 775*v**4/108 + 74*v**3/9 - v**2 + 557*v. Determine u, given that x(u) = 0.
-2/7, 111
Let x = 159 - 151. Let q be 171/76*x/30. Let q*s**4 + 0 + 0*s - 3/5*s**3 + 0*s**2 = 0. Calculate s.
0, 1
Let r be -4 + 0 + -6 + 12 - (-14)/(-21). Factor -76/3*o + 8/3*o**2 + r*o**5 + 12 - 44/3*o**4 + 24*o**3.
4*(o - 9)*(o - 1)**3*(o + 1)/3
Suppose -2*g - 22 = -6*i, -g = -91*i + 95*i - 31. Factor 32/3*p**3 - 304/3*p**2 + 146/3*p - i.
2*(p - 9)*(4*p - 1)**2/3
Find z such that -1/6*z**4 - 5/6 + 8/3*z - 3*z**2 + 4/3*z**3 = 0.
1, 5
Solve 104/3*u**2 + 544/3 - 4/3*u**3 - 644/3*u = 0.
1, 8, 17
Suppose -77348 = -50*j - 77248. Solve 6/5*g + 2/5*g**j - 4 = 0.
-5, 2
Let a be ((88/11)/(-8))/((-28)/32). Let t(d) be the first derivative of -9 + a*d**4 + 0*d + 16/21*d**3 + 1/7*d**2. Factor t(x).
2*x*(4*x + 1)**2/7
Let q = -359 - -361. Let f(d) = 5*d**3 - 5*d**2 + 14*d - 8. Let w(p) = 2*p**3 + p**2. Let b(j) = q*f(j) - 4*w(j). Factor b(a).
2*(a - 4)*(a - 2)*(a - 1)
Let -138228*v**2 + 13564 - 58508 + 24878*v - 58190*v - 12*v**4 - 2560*v**3 - 147312*v = 0. Calculate v.
-106, -1, -1/3
Find b, given that 7 - 27*b**3 - 4 + 17*b**2 + 164*b + 8*b**2 + 9 + 0 = 0.
-2, -2/27, 3
Let a(v) = -6*v**4 - 167*v**3 + 11*v**2 + 4*v - 6. Let u(h) = 6*h**4 + h**3 + 7*h**2 + h + 1. Let y(g) = a(g) + 6*u(g). Let y(j) = 0. Calculate j.
-2/15, 0, 1/2, 5
Let a(y) be the first derivative of 1/2*y**3 + 73 + 0*y - 63/8*y**2. Find p such that a(p) = 0.
0, 21/2
Let q(s) be the third derivative of -s**8/168 - 8*s**7/35 - 2*s**6 - 112*s**5/15 - 12*s**4 + 3262*s**2. Solve q(x) = 0.
-18, -2, 0
Let b(c) be the third derivative of c**6/120 + 2053*c**5/60 + 43947*c**4 + 175446*c**3 + 3605*c**2. Let b(i) = 0. What is i?
-1026, -1
Let d(m) be the third derivative of m**6/1440 + m**5/20 + 3*m**4/2 - 169*m**3/6 + 5*m**2 - 27*m. Let n(k) be the first derivative of d(k). Factor n(l).
(l + 12)**2/4
Let m(x) be the second derivative of x**5/420 - x**4/6 + 14*x**3/3 - 36*x**2 + 75*x. Let s(l) be the first derivative of m(l). Factor s(r).
(r - 14)**2/7
Factor -2*g**4 + 149*g - 77*g + 4*g**4 + g**4 + 27*g**3 - 102*g**2.
3*g*(g - 2)*(g - 1)*(g + 12)
Suppose -3*m + 4*l + 15 = l, -22 = -5*m + 2*l. Factor -297*z**2 - 3696*z**3 - 43*z - 751*z**2 - 80 - 69*z + 76 - 4356*z**m.
-4*(3*z + 1)**2*(11*z + 1)**2
Let j(r) = -22*r + 12. Let s(o) = 24*o - 12. Let m(c) = -4*j(c) - 3*s(c). Let x(l) = l**2 - 17*l + 11. Let i(u) = 5*m(u) + 4*x(u). Solve i(h) = 0.
-4, 1
Find m, given that 1/5*m**2 + 17/5*m + 12 = 0.
-12, -5
Suppose 2*h = -3*h. Let q be h + 3 + 0/(-5). Factor -56*l**2 + 13*l - 18*l - q*l**3 - 37*l**3 + 11*l**2.
-5*l*(l + 1)*(8*l + 1)
Let r(y) be the first derivative of -1/25*y**5 - 41 - 1/5*y**2 + 0*y - 1/3*y**3 - 1/5*y**4. Factor r(t).
-t*(t + 1)**2*(t + 2)/5
Let m(i) = -2*i**5 - 34*i**4 + 44*i**3 + 108*i**2 - 40*i - 76. Let v(q) = q**3 + q**2 - 2. Let t(h) = -m(h) + 2*v(h). Suppose t(n) = 0. Calculate n.
-18, -1, 1, 2
Let z(g) be the first derivative of 25*g**4/4 - 2135*g**3/3 + 425*g**2 + 8677. Factor z(h).
5*h*(h - 85)*(5*h - 2)
Let i(u) = -2*u**2 - 246*u + 9923. Let z be i(32). Factor 0 + z*x**2 + 1/2*x**3 + 5/2*x.
x*(x + 1)*(x + 5)/2
Let a(g) be the second derivative of -g**4/48 + 115*g**3/12 - 13225*g**2/8 + 384*g. Factor a(b).
-(b - 115)**2/4
Let u(y) be the second derivative of -1/30*y**4 - 6*y + 1 - 45*y**2 - 2*y**3. Factor u(x).
-2*(x + 15)**2/5
Let y(i) be the first derivative of -i**8/420 - 2*i**7/105 - 2*i**6/45 + 25*i**3/3 + 2*i + 168. Let p(s) be the third derivative of y(s). Factor p(r).
-4*r**2*(r + 2)**2
Let v(w) = -8*w**3 - 9*w**2 + 48*w - 38. Let o(z) = -z - 15. Let d be o(6). Let l(i) = i**3 + 2*i**2 - i - 1. Let y(s) = d*l(s) - 3*v(s). Factor y(u).
3*(u - 9)*(u - 1)*(u + 5)
Find i such that 68/3*i**2 + 176/3 + 62/3*i**3 + 2/3*i**5 - 280/3*i - 28/3*i**4 = 0.
-2, 1, 2, 11
Let g(z) = z**3 - 4*z**2 + 4*z - 45. Let f be g(5). Determine d so that 205*d - 3955*d + 31250 - 2*d**3 + f*d**3 + 150*d**2 = 0.
25
Suppose 0 = 4*k - 5*g + 2, -8*k + 5*g = -3*k. Let j be (404 - 405)*1/(-2). Factor -3/2 - j*z**k + 1/2*z**3 - 5/2*z.
(z - 3)*(z + 1)**2/2
Find g such that 1360/23 - 4750/23*g**2 - 14/23*g**3 + 148*g = 0.
-340, -2/7, 1
Let t(h) be the second derivative of -h + 5/2*h**4 - 50*h**3 + 3 - 1/20*h**5 + 500*h**2. Find o such that t(o) = 0.
10
Factor 40/7*i**2 + 44/7 + 2/7*i**3 - 86/7*i.
2*(i - 1)**2*(i + 22)/7
Let p = -1714/173 + 16339/1038. Factor 71/6*c**2 + 0 + p*c + 37/6*c**3 + 1/6*c**4.
c*(c + 1)**2*(c + 35)/6
Let i(u) = u**2 + 4*u - 64. Let d be i(22). Let b = 510 - d. Suppose 18/5*x**5 + 18/5*x + 3/5 - 36/5*x**3 - 6/5*x**b + 3/5*x**4 = 0. Calculate x.
-1, -1/6, 1
Let c(r) = -15*r**3 + 516*r**2 - 88738*r + 5088441. Let j(p) = -13*p**3 + 516*p**2 - 88740*p + 5088442. Let k(s) = 6*c(s) - 7*j(s). Factor k(x).
(x - 172)**3
Let f(j) be the third derivative of j**6/30 - 14*j**5/15 + 41*j**4/6 + 112*j**3/3 - 17*j**2 + 181. Factor f(w).
4*(w - 8)*(w - 7)*(w + 1)
Let t = 4757/42975 + 2/4775. Let x(o) be th