ose 8*f = 13*f + 2*z - 9, -z = -2*f. Let p(q) = f*l(q) + 2*a(q). Factor p(r).
4*(r + 16)**2
Let p(i) be the third derivative of 0*i - 21/10*i**3 + 20 - i**2 + 21/100*i**5 - 1/40*i**4 + 1/200*i**6. Factor p(c).
3*(c - 1)*(c + 1)*(c + 21)/5
Let z(m) be the first derivative of -172 - 16/15*m**5 + 2/3*m**3 - 1/6*m**6 + 14/3*m**2 - 23/12*m**4 + 8/3*m. Solve z(k) = 0.
-2, -1/3, 1
Let m(s) be the second derivative of -s**3 + 33*s**2/2 + 25*s. Let f be m(-4). Factor 12 - 16*k - 66*k**2 - f*k**2 + 127*k**2.
4*(k - 3)*(k - 1)
Let l(a) be the first derivative of -4*a**3/9 - 100*a**2/3 - 188*a + 1587. Determine q, given that l(q) = 0.
-47, -3
Let s(b) = -7*b**2 - 45*b + 60. Let p(f) = -6*f + 140. Let y be p(22). Let r(o) = -5*o**2 - 30*o + 40. Let c(d) = y*r(d) - 5*s(d). Let c(z) = 0. Calculate z.
-4, 1
Let t(v) be the second derivative of v**10/5040 - v**9/1120 + v**8/2240 - v**4/4 + 11*v**3/3 + 45*v. Let l(d) be the third derivative of t(d). Factor l(n).
3*n**3*(n - 2)*(4*n - 1)/2
Let l(h) = 70*h + 9487. Let t be l(-135). Let w(z) be the first derivative of 3/35*z**5 - t + 0*z + 3/28*z**4 - 5/7*z**3 + 9/14*z**2. Let w(m) = 0. Calculate m.
-3, 0, 1
Let v(x) be the second derivative of -x**4/12 + x**2/2 - x. Let d = 5308 + -5318. Let r(y) = -12*y**2 + 2*y + 10. Let z(b) = d*v(b) + r(b). Factor z(s).
-2*s*(s - 1)
Let z be 520/275 + (-8)/10. Let j = -791 + 8707/11. Factor -18/11 + j*g**2 + z*g.
6*(g - 1)*(g + 3)/11
Let g(t) = 9*t**2 - 17*t - 19. Let j(h) = 1394 - 1393 - h**2 - h + 0*h. Let i(n) = 2*g(n) + 6*j(n). Factor i(l).
4*(l - 4)*(3*l + 2)
Let w(q) be the first derivative of 0*q + 1/6*q**3 + 3/2*q**2 + 91. Suppose w(l) = 0. What is l?
-6, 0
Let v(t) = 50*t**2 + 37*t + 5. Let i = 77 + -63. Let s(j) = -47 - 126*j - 60*j + 21 - 250*j**2. Let l(k) = i*v(k) + 3*s(k). Let l(x) = 0. Calculate x.
-2/5
Factor -136 + 1/4*n**2 - 9/2*n.
(n - 34)*(n + 16)/4
Let w(z) = -z**4 + z. Let t(a) = 6*a**4 - 8*a**3 + 52*a**2 + 313*a - 768. Let j(r) = -t(r) - 7*w(r). Determine d so that j(d) = 0.
-8, 2, 6
Let k = 78 - 79. Let h be 120/6 + 1 + k. Factor 20*t**3 - h*t**4 - 58*t**5 + 10 + 10*t**2 - 17*t - 17*t + 63*t**5 + 9*t.
5*(t - 2)*(t - 1)**3*(t + 1)
Let c(d) be the first derivative of d**5/12 - 5*d**4/3 - 15*d**3/2 + 79*d**2/2 + 28. Let q(k) be the second derivative of c(k). Solve q(s) = 0 for s.
-1, 9
Let u = 355 + -343. Let -40 - 1 + 24*q + 2*q**2 + 101 + u*q + q**2 = 0. What is q?
-10, -2
Suppose 0 = -19*x + 21*x - 3*o + 5, -o = 3*x + 13. Let y be (x + 1)*(14 - (-1620)/(-105)). Factor -6/7*n**4 - 54/7*n**2 + y*n**3 + 6*n - 12/7.
-6*(n - 2)*(n - 1)**3/7
Let u be 15 + (8/(-5))/((-380)/(-475)) + -13. Factor 2/7*g**2 + 0 - 2/7*g**3 + u*g.
-2*g**2*(g - 1)/7
Let v = 302666/9 + -604747/18. Factor 605 + 1045/4*n + 5/4*n**3 + v*n**2.
5*(n + 4)*(n + 11)**2/4
Let s = 3001 - 2988. Factor -1/2*v**2 - s*v - 169/2.
-(v + 13)**2/2
Let q be (-33 - -1)/(3009/(-68)*1). Let x = 36/59 + q. Factor -x*a**2 + 4*a - 8/3.
-4*(a - 2)*(a - 1)/3
Let x(g) = 46*g**4 + 16*g**3 + 57*g**2 + 39*g - 3. Let p(j) = 15*j**4 + j**3 + 3*j**2 + j - 1. Let u(i) = 6*p(i) - 2*x(i). Suppose u(y) = 0. What is y?
-6, -1, 0
Let r(w) = -w**2 + 40*w + 88. Let m be r(20). Let p = 490 - m. Suppose 0 + 3/5*y - 3/5*y**3 + 0*y**p = 0. What is y?
-1, 0, 1
Let g = 713824 + -2855293/4. Determine t, given that -3/4 + g*t**2 + 1/4*t**3 - 1/4*t = 0.
-3, -1, 1
Let x = -442 - -447. Factor -196*a**2 + 252*a**3 - 5*a + 5*a - 60*a**4 + 1770*a**x - 1766*a**5.
4*a**2*(a - 7)**2*(a - 1)
Let i be (-32655)/(-622)*((-8)/(-12))/2. Factor 25/2*d**2 + i*d + 5/2*d**3 + 15/2.
5*(d + 1)**2*(d + 3)/2
Factor -2743*g**4 + 9801 + 2820*g**4 - 2*g**5 + 13242*g**2 + 3*g**5 + 886*g**3 + 21285*g + 948*g**3.
(g + 1)**2*(g + 9)*(g + 33)**2
Let n(m) be the third derivative of -m**7/105 + 2*m**6/15 - 2*m**5/5 - 8*m**4/3 + 64*m**3/3 - 11*m**2 + 8*m. Suppose n(p) = 0. What is p?
-2, 2, 4
Let -1115/6*y**3 - 310249/6*y + 0 - 1/6*y**4 - 311363/6*y**2 = 0. Calculate y.
-557, -1, 0
Find s, given that 3*s**3 - 14*s**3 + 815*s**2 + 8*s**3 + 3*s**3 - 2400*s - 5*s**3 = 0.
0, 3, 160
Suppose 14*y**4 + 4/11*y**3 + 0 - 80/11*y**2 + 0*y + 30/11*y**5 = 0. What is y?
-5, -4/5, 0, 2/3
Let f = -31 - -29. Let z be f/9 - (-380)/90. Factor z*b**2 - 14 + 2 - 4*b**2 + 3*b**2.
3*(b - 2)*(b + 2)
Let l(c) be the third derivative of c**6/60 - 38*c**5/15 + 989*c**4/12 + 18490*c**3/3 - 6*c**2 - 254*c + 1. Find w, given that l(w) = 0.
-10, 43
Let p(w) be the third derivative of 0*w**3 + 1/1848*w**8 + 1/33*w**5 - 13/660*w**6 + 57*w**2 + 0*w + 0*w**4 + 2/1155*w**7 + 0. Determine j so that p(j) = 0.
-5, 0, 1, 2
Factor -490*y + 2401/6*y**2 + 150.
(49*y - 30)**2/6
Let w(u) be the second derivative of 3*u**7/14 - u**6/5 - 27*u**5/20 + 3*u**4 - 2*u**3 - 1127*u + 2. Find k such that w(k) = 0.
-2, 0, 2/3, 1
Factor 573*n + 949*n - 2*n**2 + 7*n**2 + 2338*n + 744980.
5*(n + 386)**2
Suppose 37*r - 1220 = 17*r. Suppose 29*n + 28*n = r*n. Factor 0*w - 2/3*w**3 + 4/3*w**2 + n.
-2*w**2*(w - 2)/3
Let y(o) be the first derivative of 0*o**2 - 1/4*o**4 + 10 + 1/360*o**6 + 1/120*o**5 + 0*o - 10*o**3. Let u(j) be the third derivative of y(j). Factor u(k).
(k - 2)*(k + 3)
Let k = -352 + 356. Let i = -8 - -24. Suppose 25*z + i*z**2 - 5 - 16*z + 14*z**3 + 7 + z**5 + 6*z**k = 0. What is z?
-2, -1
Let y(j) be the third derivative of -j**5/60 - 539*j**4/12 - 290521*j**3/6 - 268*j**2 - j. Factor y(t).
-(t + 539)**2
Let d(l) be the first derivative of l**4/2 + 10*l**3 + 68*l**2 + 192*l + 692. Let d(c) = 0. What is c?
-8, -4, -3
Let a(v) = v**2 + 20*v - 54. Let d be a(-22). Let r be (-4)/(-8)*(-5)/(d/24). Solve r*z**2 - 51*z**3 + 23*z**3 + 25*z**3 = 0.
0, 2
Let a(v) = -2*v**4 - 102*v**3 + 163*v**2 - 51*v - 14. Let h(d) = 2*d**4 + d**3 + 2*d - 3. Let y(l) = -a(l) - 3*h(l). Find k, given that y(k) = 0.
-1/4, 1, 23
Let y be (1185/405)/(3/(-3)) + (12 - 9). Let r(a) be the first derivative of y*a**3 + 2/9*a**2 + 0*a - 24. Solve r(f) = 0 for f.
-2, 0
Let b(u) be the second derivative of -u**5/40 - 5*u**4/8 - u**3 + 7*u**2 - 11*u - 35. Factor b(r).
-(r - 1)*(r + 2)*(r + 14)/2
Suppose 5*j + 10 = 5*f, 6*f = 3*j + f + 16. Suppose 0*p - q + 17 = j*p, 0 = 5*p - 5*q + 5. Solve -6*u**p - 12*u**3 + 7*u**4 - 1 + 14*u**3 - 2*u = 0.
-1, 1
Suppose -3*w + 4*d + 3719 = -d, 3*w + 5*d - 3769 = 0. Let z be 192/w*(3 - 0 - -1). Suppose 10/13*p**3 - 8/13*p - 6/13*p**4 + z*p**2 + 0 = 0. Calculate p.
-1, 0, 2/3, 2
Let h be (2/6)/((-6)/378). Let z be 0*(-3)/h + 5. Suppose -5/2*n**z - 5*n**3 + 15/2*n**4 + 15/2*n - 5/2 - 5*n**2 = 0. Calculate n.
-1, 1
Let x(w) = -9*w**2 + 2507*w - 394384. Let p(t) = t**2 + t. Let b(q) = 5*p(q) + x(q). Suppose b(l) = 0. Calculate l.
314
Let f(w) be the second derivative of -w**7/14 - 92*w**6/5 - 6348*w**5/5 - 12*w + 8. Factor f(x).
-3*x**3*(x + 92)**2
Let t(v) = -v**3 - v**2 - v - 2. Let l(d) = -2*d**3 + 100*d**2 - 6*d - 112. Let q(g) = -l(g) + 4*t(g). Suppose q(w) = 0. What is w?
-52, -1, 1
Let o be 6/12*-10 - -45. Find n such that -3*n**5 - 2*n**5 + o*n**4 + 16*n - 97*n**3 - 2*n**5 + 32*n**2 + 25*n**3 = 0.
-2/7, 0, 2
Suppose 2*k - 58 = -3*u - 3*k, -5*u - 3*k + 86 = 0. Let 83*c**4 - 20*c**5 - 20*c - 8 + 40*c**3 - 35*c**4 - 56*c**4 + u*c**2 = 0. Calculate c.
-1, -2/5, 1
Let m be ((-744)/432)/(553/(-1354)). Let v = m - -3/553. Factor v*j + 4/3 - 14/9*j**2.
-2*(j - 3)*(7*j + 2)/9
Let p = -20 + 23. Suppose r - 22 = -2*r - 5*h, p*r - 2*h - 8 = 0. Determine b, given that b - r*b - 45*b**3 + 105*b**2 + 20 - 77*b = 0.
2/3, 1
Let q(p) = -7*p**3 + 45*p**2 - 86*p + 40. Let l(s) = -8*s**3 + 48*s**2 - 88*s + 38. Let z(x) = 4*l(x) - 5*q(x). Solve z(g) = 0.
1, 2, 8
Factor 5196*p**5 - 2614*p**5 - 3330*p**3 + 14180*p**2 + 2020*p**2 - 172*p**4 - 2584*p**5.
-2*p**2*(p - 4)*(p + 45)**2
Let x be 84/140*(-1 + (-5)/(-3)). Suppose -8/5 + x*g**2 - 6/5*g = 0. Calculate g.
-1, 4
Let c(w) be the third derivative of 0 + 0*w + 2*w**3 - 1/300*w**6 + 1/15*w**4 - 3*w**2 - 1/75*w**5. Let o(m) be the first derivative of c(m). Factor o(g).
-2*(g + 2)*(3*g - 2)/5
Let t(s) be the first derivative of s**4/4 - s**3/3 - 2*s**2 + 6*s - 15. Let z be t(2). Factor 7*b**2 - 3*b**z - 6*b**2.
-2*b**2
Suppose -7*f = 16*f - 138. Suppose -6 = 2*k + 3*j, 2*j + j = 5*k - f. Suppose -5/4*i**3 + i - 2*i**2 + k = 0. Calculate i.
-2, 0, 2/5
Determine x so that -117/4*x -