) be the third derivative of -a**5/15 + 547*a**4/6 + 1100*a**3 - 12180*a**2. Factor o(r).
-4*(r - 550)*(r + 3)
Factor 3024 + 1756/3*q**2 + 5520*q + 16*q**3.
4*(q + 18)**2*(12*q + 7)/3
Let p(u) be the first derivative of 2*u**5/15 + 3*u**4 + 70*u**3/3 + 232*u**2/3 + 96*u - 106. Factor p(o).
2*(o + 1)*(o + 4)**2*(o + 9)/3
Let u = 2568 - 2566. Let b(y) be the first derivative of 5/3*y**3 - 5/6*y**6 - y**5 - 9 + 5/4*y**4 + 0*y + 0*y**u. Factor b(x).
-5*x**2*(x - 1)*(x + 1)**2
Let x = -196 - -198. Let -14*f**2 + 31*f - 22*f**2 - 32 + 37*f**x = 0. Calculate f.
-32, 1
Let z(h) = 2*h**2 + 1124*h - 3387. Let f be z(3). Factor -2/5*y**f + 0 + 2*y**2 + 0*y.
-2*y**2*(y - 5)/5
Let y be (-244)/(-28) - (-6)/21. Suppose 7*r = 19 + y. Factor 6 + 3*w**r - w**4 + 10*w**2 - 4*w - 18*w**2 + 4*w**3.
2*(w - 1)**2*(w + 1)*(w + 3)
Let h(q) be the second derivative of 3/8*q**4 + 81/8*q**2 - 2 + 9/2*q**3 - 1/40*q**6 - 26*q - 3/20*q**5. Suppose h(r) = 0. Calculate r.
-3, -1, 3
Let g = -57 + 57. Suppose g = 2*i + w + 24 - 141, 0 = -3*i + w + 183. What is k in -10*k**2 + 118 - i - 50 - 10*k**2 + 36*k = 0?
-1/5, 2
Let l = 993001/3 - 331000. Factor 8*r + l*r**2 - 25/3.
(r - 1)*(r + 25)/3
Let x(m) = -405*m**3 - 587*m**2 - 202*m - 22. Let d = -241 + 230. Let c(t) = -2025*t**3 - 2936*t**2 - 1011*t - 111. Let s(h) = d*x(h) + 2*c(h). Solve s(b) = 0.
-1, -2/9
Let l = 15 + -12. Suppose -2*v - 4*u = -7*v + 40, u + 17 = l*v. Factor -v*k**2 - 64*k**4 - k**5 - 4*k**3 + 68*k**4 + 5*k**5.
4*k**2*(k - 1)*(k + 1)**2
Suppose -42*h + 47*h - 5*o - 45 = 0, h - 4*o = 27. Let l(w) be the first derivative of 3/14*w**2 + 9 + 0*w - 1/7*w**h. Factor l(g).
-3*g*(g - 1)/7
Let l(p) = -33*p**3 + 10*p**2 - 2*p + 2. Let b be l(1). Let y be (-19 - -18) + (-25)/b. Solve -2/23*c**2 + 2/23*c**3 + 0*c + 0 + y*c**4 - 2/23*c**5 = 0.
-1, 0, 1
Let z be 221 - ((-2 - 2) + 4). Determine u, given that -z*u + 100*u - 4*u**2 + 93*u = 0.
-7, 0
Suppose -240*t + 330*t + 15 - 195 = 0. Solve 2/9*y**4 + 14/9*y - 2/9*y**t + 0 - 14/9*y**3 = 0 for y.
-1, 0, 1, 7
Let f(p) be the third derivative of -59 - 5/12*p**4 + p**2 - 5/4*p**3 + 0*p - 1/24*p**5. Factor f(k).
-5*(k + 1)*(k + 3)/2
Let y(v) = -8292*v + 16588. Let q be y(2). Find j, given that -3*j - 9*j**3 + 37/3*j**2 + 4/3*j**q - 5/3 = 0.
-1/4, 1, 5
Let k(j) = -j**3 - j + 1. Let h(g) = g**4 - 9*g**3 - 46*g**2 + 15*g + 42. Let c(a) = -4*h(a) - 12*k(a). Determine n so that c(n) = 0.
-3, -1, 1, 15
Suppose 0 = a - 5*u - 236, u = -5*a - 4*u + 1150. Suppose 13*l - a - 81 = 0. Determine f, given that -61*f**2 - 67*f**2 - 2*f**4 + l*f**3 + 8*f**3 = 0.
0, 8
Let c(j) be the second derivative of -3*j**5/40 + 21*j**4/8 + 35*j**3/2 + 36*j**2 - 1032*j. Factor c(y).
-3*(y - 24)*(y + 1)*(y + 2)/2
Let i(x) = -2*x**2 + 114*x - 1452. Let f(l) = 16*l + 168. Let h be f(-10). Let t(m) = 6*m**2 - 340*m + 4358. Let s(y) = h*i(y) + 3*t(y). Factor s(c).
2*(c - 27)**2
Let u(s) be the second derivative of s**6/30 - 13*s**5/20 + 14*s**4/3 - 40*s**3/3 - 2548*s. What is z in u(z) = 0?
0, 4, 5
Suppose -141 = 2*p - 139, -5*u + 18 = -3*p. Let c = 12 + -8. What is l in 2/9*l**2 - 2/9*l**c + 2/9*l + 0 - 2/9*l**u = 0?
-1, 0, 1
Let w be 2*3/6 - (1456/78 - 19). Factor -2/3*o**5 + 8*o**2 + w*o**3 - 8/3*o**4 + 0 - 6*o.
-2*o*(o - 1)**2*(o + 3)**2/3
Let w(z) = -4*z**2 - 198*z - 124. Let q(n) = -2*n**2 - 98*n - 66. Let c(i) = -14*q(i) + 6*w(i). Factor c(m).
4*(m + 1)*(m + 45)
Let x(l) = -2*l**3 - 2. Let g(f) = -11*f**3 - 18*f**2 + 7*f - 10. Suppose 76*k = 83*k + 21. Let c(t) = k*g(t) + 24*x(t). Let c(z) = 0. What is z?
-2/5, 1, 3
Factor 2240*s - 331033*s**4 - 368*s**2 + 331038*s**4 + 128*s**2 - 45*s**3.
5*s*(s - 8)**2*(s + 7)
Let d = 1138 + -747. Let v = 1569/4 - d. Factor v + 0*n**2 - 5/2*n**3 + 5/2*n - 5/4*n**4.
-5*(n - 1)*(n + 1)**3/4
Let d(h) be the third derivative of h**8/504 - h**7/63 + 7*h**6/180 - h**5/30 + 1023*h**2. Suppose d(r) = 0. Calculate r.
0, 1, 3
Suppose 441048*h**4 + 3*h**5 - 30*h**3 - 441061*h**4 - 4*h**5 = 0. What is h?
-10, -3, 0
Let u(c) be the second derivative of -5041*c**6/15 - 7881*c**5/10 - 540*c**4 - 400*c**3/3 - 2409*c. Factor u(i).
-2*i*(i + 1)*(71*i + 20)**2
Let b(s) be the first derivative of -s**4/2 - 4*s**3 + 27*s**2 - 296. Factor b(g).
-2*g*(g - 3)*(g + 9)
Let g(b) be the first derivative of -b**5/50 + 3*b**4/10 + 120*b + 95. Let x(y) be the first derivative of g(y). Suppose x(s) = 0. Calculate s.
0, 9
Let n be (102 + 2)/(54/324). Let k = n + -1247/2. Suppose -9/2*w**3 - k*w + 5/2*w**2 + 0 + 7/2*w**4 - w**5 = 0. Calculate w.
0, 1/2, 1
Factor -64*c**2 - 49152 + 574*c - 2550*c - 3144*c + 4*c**3.
4*(c - 48)*(c + 16)**2
Let h(k) = -k**2 - 23*k + 39. Let i be h(-25). Let b = 13 + i. Solve 3*a**3 + 4 + 8 - 16*a + 18*a**b + 43*a = 0.
-4, -1
Let j(c) = c**2 + 504*c + 2003. Let m be j(-4). Find t, given that -9/2*t**m + 1 - 5/2*t - 8*t**2 = 0.
-1, 2/9
Factor -2/7*r**2 + 180/7 + 178/7*r.
-2*(r - 90)*(r + 1)/7
Let y(x) = -8*x**3 + 184*x**2 + 986*x + 3467. Let q(v) = 5*v**3 - 120*v**2 - 658*v - 2311. Let c(k) = -11*q(k) - 7*y(k). Determine s so that c(s) = 0.
-12, -8
Let i(r) be the first derivative of -r**3/12 + 27*r**2/4 - 153*r/4 + 5461. Factor i(u).
-(u - 51)*(u - 3)/4
Find s such that 588*s - 2/5*s**2 + 2942/5 = 0.
-1, 1471
Let l = 39 - 34. Let j(d) = 2*d**2 + 2 + 1 - l. Let q(p) = p**2 - p - 2. Let t(u) = 3*j(u) - 4*q(u). Factor t(a).
2*(a + 1)**2
Let f(c) = 3*c**2 + 6*c - 12. Let y(z) = -3*z**2 - 5*z + 12. Suppose -46 = 17*p + 39. Let w(r) = p*f(r) - 6*y(r). Suppose w(d) = 0. What is d?
-2, 2
Let v(d) = -4*d**3 - 114*d**2 + 1722*d - 9462. Let y(o) = -9*o**3 - 230*o**2 + 3446*o - 18926. Let k(s) = -13*v(s) + 6*y(s). Solve k(c) = 0 for c.
15, 21
Let b(h) = 2*h**2 + h - 27. Let p(s) = 45*s**2 - 965*s - 415. Let l(c) = 5*b(c) - p(c). Factor l(v).
-5*(v - 28)*(7*v + 2)
Let k(w) = -w**2 - w - 4. Let s be k(-2). Let r = -1 - s. Factor 8*m**4 - m**5 + 4*m**r - 11*m**4.
3*m**4*(m - 1)
Suppose 186704*i - 186647*i = 228. Factor 2/7*f**i - 2/7*f**2 - 4/7*f + 0 + 4/7*f**3.
2*f*(f - 1)*(f + 1)*(f + 2)/7
Let j**5 - 597*j**4 + 134*j**2 - 2*j**3 + 345*j**4 + j - 67 + 185*j**4 = 0. Calculate j.
-1, 1, 67
Let z be (8/(-17696)*-21)/(-6). Let h = 315/632 - z. Factor 0*x + 0 + x**3 + h*x**2 + 1/2*x**4.
x**2*(x + 1)**2/2
Suppose 5*r + 36 = 9*r + 4*m, r + 5*m = 5. What is z in -6*z**3 + 32*z**4 - 30*z**4 + r*z**3 - 2*z**2 - 4*z = 0?
-2, -1, 0, 1
Let s = -114 - -116. Solve -j**s + 4*j**3 - 2*j**4 + 6*j + 4 - 5*j**3 - 5*j**3 - j**2 = 0 for j.
-2, -1, 1
Let t(r) = r + 45*r**2 - 25*r**2 - 32*r**2 + 11*r. Let n(h) = h**3 + 11*h**2 - 12*h. Let c(b) = 4*n(b) + 3*t(b). Factor c(q).
4*q*(q - 1)*(q + 3)
Let l be (-29 - -32) + (2 - (-2 - 22)). Factor 24 + 37*u + 4*u**2 - 36*u - l*u.
4*(u - 6)*(u - 1)
Let p(s) be the first derivative of -7 + 2/9*s**3 + 0*s + 0*s**2. Factor p(f).
2*f**2/3
Let g(l) be the second derivative of -3*l**5/100 + 13*l**4/10 + 27*l**3/10 + 10*l + 66. Suppose g(c) = 0. What is c?
-1, 0, 27
Let k(t) be the first derivative of -1/25*t**5 + 0*t**4 + 1/5*t**3 + 0*t + 120 - 1/5*t**2. Factor k(p).
-p*(p - 1)**2*(p + 2)/5
Let v(q) be the second derivative of -q**6/10 - 9*q**5/10 + q**4 + 12*q**3 - 14*q - 15. Solve v(k) = 0.
-6, -2, 0, 2
Let -2*p + 4*p**2 + 4*p - 64 + 0*p - 18*p + p**3 = 0. Calculate p.
-4, 4
Let r = -350 - -362. Let a be (-4 + 24/4)/r. Solve -a*q**2 - 1/3*q - 1/6 = 0.
-1
Let z(p) be the third derivative of -p**6/540 + 221*p**5/30 - 48841*p**4/4 + 10793861*p**3 + 1199*p**2. Factor z(l).
-2*(l - 663)**3/9
Suppose 2*l + 0*l = -2*c + 20, 15 = 5*c - 2*l. Factor -c - b + 4*b**2 - 8*b + 3*b + b**3 - 1 + 7*b.
(b - 1)*(b + 2)*(b + 3)
Let j = -360 + 644. Let a = j + -565/2. Factor 3/2*b**3 + a*b**2 + 0 + 0*b.
3*b**2*(b + 1)/2
Let n(m) be the second derivative of -m**4/12 - 7*m**3/3 - 49*m**2/2 - 18*m - 51. Factor n(k).
-(k + 7)**2
Let k(t) be the second derivative of t**7/420 - t**6/180 - t**5/15 + t**4/3 + 9*t**3 - t - 13. Let i(h) be the second derivative of k(h). Solve i(c) = 0 for c.
-2, 1, 2
Let y(x) be the second derivative of -x**7/3780 + 11*x**6/1080 - x**5/18 + x**4/4 - 7*x**2/2 + 75*x. Let b(h) be the third derivative of y(h). Factor b(j).
-2*(j - 10)*(j - 1)/3
Let a(o) be the third derivative of -5*o**8/112 + 19*o**7/21 + 95*o**6/8 + 16*o**5/3 - 75*o**4/2 + 3240*o**2. Find h such that 