 of -w**6/60 - 11*w**5/240 - w**4/32 + 460*w**2. Solve s(i) = 0.
-1, -3/8, 0
Let t(q) be the third derivative of 0*q**3 + 1/25*q**5 - 2 + 4*q**2 - 1/200*q**6 + 0*q + 0*q**4. Factor t(l).
-3*l**2*(l - 4)/5
Suppose -2134*q = -2100*q. Let z(b) be the third derivative of -1/48*b**5 + 0*b**3 + 1/48*b**6 + 0 + q*b**4 - 1/168*b**7 - 14*b**2 + 0*b. Solve z(f) = 0 for f.
0, 1
Let f = -155875/2 + 77939. Let v = 25 + -23. Determine x, given that f*x - v - 1/4*x**2 = 0.
2, 4
Let k be (-1)/(-4) - (-22)/40. Suppose 8*u - 24408 = -24376. Factor 0*n - 2/5*n**u + k*n**3 - 2/5*n**2 + 0.
-2*n**2*(n - 1)**2/5
Let o = 1109 - 1106. Let y(x) be the first derivative of 6 - x**2 - 3*x - 1/9*x**o. Factor y(p).
-(p + 3)**2/3
Let m = -4621/260 + 945/52. Factor 0 + 0*p**2 - 1/5*p**4 + 0*p + m*p**3 - 1/5*p**5.
-p**3*(p - 1)*(p + 2)/5
Suppose 5*f + 5*f = 50. Let 0*y**2 - 18 - 2*y**2 + f*y**2 - 15*y + 3*y**2 - 3*y**2 = 0. What is y?
-1, 6
Suppose 10*c = 8*c - 3*o, o + 17 = 5*c. Let k = 44 + -44. Factor k + 6/5*l**2 + 0*l**c - 2/5*l**4 - 4/5*l.
-2*l*(l - 1)**2*(l + 2)/5
Determine j, given that 101/9*j + 2/9*j**2 - 52/3 = 0.
-52, 3/2
Determine j so that -436178/23 + 1868/23*j - 2/23*j**2 = 0.
467
Let 26/5*z**3 + 6/5*z**2 + 2/5*z**5 + 0 - 14/5*z**4 - 36/5*z = 0. What is z?
-1, 0, 2, 3
Let q be ((-8)/10)/(2/(-10)). Let r(g) = 5*g - 97. Let i be r(20). Let -o**4 - o**q - 2*o**2 - 8*o + 10*o**2 + 2*o**i = 0. Calculate o.
-2, 0, 1, 2
Suppose -b = -5*q + 18 + 6, -4*q = -2*b - 18. Let g be b*9/(9/14). Suppose -28*p**3 + 16*p**3 + g*p**3 = 0. What is p?
0
Let b = 5828 + -5828. Let t(f) be the third derivative of 18*f**2 + b*f - 1/16*f**4 - 1/32*f**6 + 0*f**3 - 7/80*f**5 + 0. Determine d, given that t(d) = 0.
-1, -2/5, 0
Factor -1/5*z**3 + 1/5*z**2 + 4/5*z - 4/5.
-(z - 2)*(z - 1)*(z + 2)/5
Let c(r) be the third derivative of -98*r**3 - 7/2*r**4 - 1/20*r**5 - 1 + 0*r + 59*r**2. Factor c(u).
-3*(u + 14)**2
Let x = -1784 - -1786. Let c(b) be the first derivative of 0*b - 1/6*b**x + 1/3*b**3 - 11. Factor c(v).
v*(3*v - 1)/3
Let j = -102 - -104. Suppose -w - 5*n + 13 = 0, 4*w - j*n - n - 6 = 0. Factor 65*r**w - 64*r**3 + 4*r + r**2 - 6*r.
r*(r - 1)*(r + 2)
Let p(q) be the third derivative of -q**5/270 - 937*q**4/27 - 3511876*q**3/27 - 13926*q**2. Factor p(w).
-2*(w + 1874)**2/9
Let 38*d + 192/5 - 2/5*d**2 = 0. What is d?
-1, 96
Suppose 2/9*l**3 + 0 + 82/3*l**2 - 248/9*l = 0. Calculate l.
-124, 0, 1
Suppose 0 + 0*l + 35/2*l**3 + 1/2*l**5 + 0*l**2 - 18*l**4 = 0. Calculate l.
0, 1, 35
Let x = 72923/27 - 2700. Let m(b) be the second derivative of -29*b - 20/27*b**4 - 19/90*b**5 - 2/9*b**2 + 0 - x*b**3. Find v, given that m(v) = 0.
-1, -2/19
Let j(z) be the third derivative of -z**6/300 + 1081*z**5/150 - 291599*z**4/60 - 292681*z**3/15 + 6*z**2 - 139*z. Factor j(a).
-2*(a - 541)**2*(a + 1)/5
Let l(c) = 3*c**2 + 2532*c - 559860. Let m(y) = 4*y**2 + 2522*y - 559858. Let u(s) = 7*l(s) - 6*m(s). Factor u(q).
-3*(q - 432)**2
Let q(n) = 27*n. Let f be q(2). Let r = f - 48. Solve r*k + 21 - 31*k - 1 + 5*k**2 = 0.
1, 4
Let t be (-45 + 46)*3*(-8)/(-12). Let r(d) be the second derivative of 0*d**t + 0*d**3 + 0*d**5 - 1/84*d**7 + 13*d + 1/30*d**6 + 0*d**4 + 0. Factor r(y).
-y**4*(y - 2)/2
Let r(o) = -o**2 + 38*o - 256. Let c be r(21). Let b be (-42 - c)*(-2)/3. Determine t, given that -2/3*t**3 - b*t - 46/3*t**2 - 242/3 = 0.
-11, -1
Suppose 0*s - 4*n = 5*s - 791, 4*n - 636 = -4*s. Let b = 430 - 342. Factor -126*v**3 + 36*v**4 - b*v - 3*v**5 + 324*v**2 - 36*v**3 - s*v.
-3*v*(v - 3)**4
Let s = -49 + 13. Let l = -32 - s. Find r such that 77*r**4 - 21*r - 15*r**3 + 8 - 2 + 27*r**2 - 74*r**l = 0.
1, 2
Let z(g) be the second derivative of -8/9*g**2 + 2/27*g**3 + 0 - 43*g + 1/54*g**4. Factor z(l).
2*(l - 2)*(l + 4)/9
Let z be (-3792)/14536 - 208/(-92). Factor 2*t - 1/5*t**z - 21/5.
-(t - 7)*(t - 3)/5
Let h = 702 - 630. Determine k, given that 7*k**5 - 3*k**5 + 2100*k + h*k**4 - 392 + 488*k**3 + 1392 + 1520*k**2 = 0.
-5, -2, -1
Let o(k) be the second derivative of k**5/15 + 10*k**4/9 - 106*k**3/9 + 28*k**2 + 813*k. Suppose o(p) = 0. Calculate p.
-14, 1, 3
Let t = 18 + -14. Solve 85 - 172 + t*n**2 + 83 = 0 for n.
-1, 1
Let s be (11130/(-315) + 19)/((-10)/216). Factor -s - 1/5*y**2 + 84/5*y.
-(y - 42)**2/5
Let -36/7*d**3 + 46/7*d**4 + 176/7*d + 0 - 2/7*d**5 - 184/7*d**2 = 0. What is d?
-2, 0, 1, 2, 22
Suppose 2*l = 3*t - 391, 97 = -l + 95. Factor -t*b - 75*b - 4*b**3 + 56*b**2 + 8*b.
-4*b*(b - 7)**2
Let i(n) = -n**2 + 7*n - 16. Let b be i(12). Let q = 107 + b. Suppose -33 - 4*z**2 - 13*z - 19*z - q = 0. What is z?
-4
Let k = -123 - -147. Let 60*z + 3*z**2 - 109*z - k + 70*z = 0. Calculate z.
-8, 1
Let n(k) be the second derivative of -k**3/3 - k**2 + 84*k. Let i(r) = 2*r**2 - 28*r - 30. Let s(l) = -2*i(l) + 2*n(l). Factor s(x).
-4*(x - 14)*(x + 1)
Suppose -3*p - 5*u = p - 67, -3*p = -u - 36. Suppose -27*z = -21*z - p*z. Let -2/5*h + z*h**2 + 2/5*h**3 + 0 = 0. What is h?
-1, 0, 1
Let -2*m + 468/5 - 2/5*m**2 = 0. What is m?
-18, 13
Suppose -12*h + 14*h = c + 13, 2*h = -5*c - 17. Factor -2*q**3 - 1063*q**4 + 31*q**2 + 1061*q**h + 16*q**3 + 5*q**2.
-2*q**2*(q - 9)*(q + 2)
Suppose 2*i - 5*w + 340 - 385 = 0, -120 = -i - 4*w. What is g in i - 27/4*g**3 - 183*g + 144*g**2 = 0?
2/3, 20
Suppose 0 = 4*c - 371 + 375. Let g(d) = -3*d**3 + 3*d**2 + 6*d + 3. Let u be g(c). Find b such that -4/9*b**u + 8/9 + 4/3*b + 0*b**2 = 0.
-1, 2
Let l(k) be the first derivative of 4*k**5/15 - 2*k**4/3 - 16*k**3/9 + 16*k**2/3 - 1682. Factor l(n).
4*n*(n - 2)**2*(n + 2)/3
Let q(y) = -y**2 - y + 2. Let w be (-9)/7 + 18/63. Let z(a) = 5*a**2 + 40*a + 15. Let v(h) = w*z(h) - 10*q(h). Factor v(p).
5*(p - 7)*(p + 1)
Let r(z) be the second derivative of z**5/165 - 13*z**4/132 + 2*z**3/11 - 79*z**2 - 13*z - 1. Let g(s) be the first derivative of r(s). Factor g(h).
2*(h - 6)*(2*h - 1)/11
Let j(x) be the first derivative of -x**6/40 + 11*x**5/5 - 525*x**4/8 + 441*x**3 - 114*x**2 + 82. Let d(s) be the second derivative of j(s). Factor d(w).
-3*(w - 21)**2*(w - 2)
Suppose 14*p = 7*p - 42. Let i(z) = -9*z**3 - 49*z**2 - 31*z + 15. Let b(y) = -28*y**3 - 148*y**2 - 92*y + 45. Let d(h) = p*b(h) + 17*i(h). Factor d(q).
5*(q + 1)*(q + 3)*(3*q - 1)
Suppose 4*k + 12*k + 9200 = 0. Let u = 1729/3 + k. Determine y so that 4/3*y**2 + 4 + 20/3*y - u*y**3 = 0.
-1, 3
Let 1/3*c**3 - 7529536/3 + 38416*c - 196*c**2 = 0. What is c?
196
Let r(y) be the third derivative of y**5/30 + 319*y**4/12 - 322*y**3 - 7571*y**2. Find s such that r(s) = 0.
-322, 3
Let r(h) = h**4 - 74*h**3 + 425*h**2 + 600*h - 887. Let l(v) = -30*v**3 + 170*v**2 + 240*v - 355. Let q(c) = 13*l(c) - 5*r(c). Find k, given that q(k) = 0.
-6, -2, 1, 3
Let s(x) = 47*x**4 - 440*x**3 + 8*x**2 - 71*x + 19. Let y(k) = -15*k**4 + 138*k**3 - 3*k**2 + 24*k - 6. Let c(j) = 6*s(j) + 19*y(j). What is p in c(p) = 0?
-5, -2, 0, 1
Let u(g) = -g**3 - 50*g**2 + 105*g + 67. Let j be u(-52). Let y(s) = 30*s - 448. Let k be y(j). Suppose 0*c - 2/15*c**3 + 0*c**k + 0 = 0. Calculate c.
0
Suppose -9 = 252*a - 255*a. Factor 0*w + 88*w**2 + 62*w**2 + 3*w - 151 - a*w**3 + 0*w + 1.
-3*(w - 50)*(w - 1)*(w + 1)
Let k = 11 - 5. Let m be 24 + k*(-2)/(-4). Solve -6*v - 12*v**2 + 27*v**2 + m*v**4 + 48*v**3 + 0*v**2 = 0.
-1, 0, 2/9
Let c(n) = -24*n**2 - 155*n + 256. Let u(f) = -9*f**2 + f. Let w(y) = -c(y) + 5*u(y). Factor w(g).
-(3*g - 16)*(7*g - 16)
Let b(z) be the third derivative of 0 + 32/39*z**4 + 1/390*z**5 - 10*z**2 + 2*z + 4096/39*z**3. Factor b(q).
2*(q + 64)**2/13
Let z(k) be the second derivative of -k**6/90 + k**5/5 + k**4/12 - 19*k**3/9 + 4*k**2 + 6368*k. Factor z(r).
-(r - 12)*(r - 1)**2*(r + 2)/3
Factor 320*p**2 + 301*p**4 + 49/2*p**5 + 592*p**3 + 0*p + 0.
p**2*(p + 10)*(7*p + 8)**2/2
Let k(i) = -42*i**2 - 983*i + 4613. Let o(w) = 19*w**2 + 491*w - 2306. Let t(g) = -6*k(g) - 13*o(g). Solve t(j) = 0 for j.
5, 92
Let h = -2387/8 - -2399/8. Let m(n) be the first derivative of -20 + 3*n + 0*n**3 + h*n**4 - 3/5*n**5 - 3*n**2. Solve m(t) = 0 for t.
-1, 1
Let v(i) be the first derivative of 4232/5*i - 92/5*i**2 + 2/15*i**3 - 47. Factor v(j).
2*(j - 46)**2/5
Let b(l) be the second derivative of l**4/78 - 38*l**3/13 + 113*l**2/13 - 4098*l. Determine k so that b(k) = 0.
1, 113
Let q(z) = -20*z**3 - 2790*z**2 + 25*z + 25. Let n(p) =