 so that o(z) = 0.
-25, -4, -1
Let l(k) be the third derivative of -k**6/600 - 3*k**5/10 - 135*k**4/8 - 704*k**2. Factor l(u).
-u*(u + 45)**2/5
Suppose 852 = -166*v + 2672 + 172. Solve 0 + 2*s**5 + v*s**3 + s - 13/2*s**2 - 17/2*s**4 = 0 for s.
0, 1/4, 1, 2
Factor 0 - 3/4*i**3 - 351/4*i - 33/2*i**2.
-3*i*(i + 9)*(i + 13)/4
Let k(v) be the third derivative of -v**7/3780 - v**6/54 - v**5/5 + v**4/12 - 61*v**3/6 + 192*v**2 - 1. Let j(r) be the second derivative of k(r). Factor j(c).
-2*(c + 2)*(c + 18)/3
Let r(z) be the first derivative of -z**6/120 + 21*z**5/20 - 441*z**4/8 + 2*z**3/3 - 23*z - 23. Let b(p) be the third derivative of r(p). Factor b(a).
-3*(a - 21)**2
Let n = -760/7 - -3047/28. Let p(m) be the second derivative of -3/2*m**3 + 0 + 0*m**2 - 20*m + n*m**4. Factor p(y).
3*y*(y - 3)
Let h(r) = r**2 + 6589*r + 216350. Let d be h(-33). Factor -3/8*u**d + 0 + 15/2*u.
-3*u*(u - 20)/8
Let j = -267 + 274. Suppose 0 = -m - 3, m - 10 = -2*r - j. Factor -3/2 + 0*z**2 + 3*z**3 - r*z + 3/2*z**4.
3*(z - 1)*(z + 1)**3/2
Let c(n) be the second derivative of -35*n**7/6 - 77*n**6/3 - 177*n**5/4 - 110*n**4/3 - 40*n**3/3 - 832*n. Find f, given that c(f) = 0.
-1, -4/7, 0
Let z = 759 - -32596. Determine c, given that -2330 - 59984*c - 9128*c**3 + z*c**2 + 75497*c**2 + 196*c**4 + 10794 = 0.
2/7, 23
Let w(p) be the third derivative of -p**6/2 + 65*p**5/12 + 215*p**4/8 + 70*p**3/3 + 194*p**2 - p. Solve w(y) = 0 for y.
-4/3, -1/4, 7
Let g be (2266/4)/((66/12)/(-11)). Let n = 1133 + g. Factor -3/8*k**5 - 3/8*k**3 + 0 + 3/4*k**4 + n*k**2 + 0*k.
-3*k**3*(k - 1)**2/8
Factor -73*o - 1165*o**2 + 1178*o**2 - 19 - 2 + 81*o.
(o - 1)*(13*o + 21)
Let p = -31351/8 + 3920. Let t(n) be the third derivative of -2*n**3 - 17*n**2 - 3/10*n**5 + p*n**4 + 1/40*n**6 + 0 + 0*n. What is q in t(q) = 0?
1, 4
Let d = -605 + 680. Suppose -90 = -5*c - d. Solve 0 - 2/7*b**c + 0*b + 2/7*b**2 = 0 for b.
0, 1
Let j be (2 + -20 - -18)/14. Factor 2/3*l**2 + j + 10/3*l.
2*l*(l + 5)/3
Let g(q) = 3*q**3 + 5*q**2 + 100*q. Let d(z) = 55*z**3 + 85*z**2 + 1700*z. Let c(n) = -2*d(n) + 35*g(n). Factor c(t).
-5*t*(t - 5)*(t + 4)
Let s(f) be the first derivative of 4*f**5/15 - 12*f**3 - 36*f**2 + 589. Let s(u) = 0. What is u?
-3, 0, 6
Determine w so that -2706*w**3 - 2413*w - 360 - 5855*w + 352*w**4 - 1109*w**3 + 172*w**5 + 391*w**3 - 11512*w**2 = 0.
-3, -1, -2/43, 5
Let o(p) be the second derivative of -17*p**7/21 + 31*p**6/3 - 137*p**5/10 - 139*p**4/6 + 154*p**3/3 - 16*p**2 + 2306*p. Let o(a) = 0. What is a?
-1, 2/17, 1, 8
Suppose -2*g - 8*j + 10*j = -4, -5*g + 11 = -4*j. Suppose 14 - 20 = -g*w. Factor -2/5*t**5 + 0*t**w + 4/5*t**4 - 2/5*t**3 + 0*t + 0.
-2*t**3*(t - 1)**2/5
Let b = -209693/180 - -1165. Let x(z) be the third derivative of 25/36*z**4 - b*z**6 + 0 - 2/15*z**5 + 42*z**2 + 0*z - 2/3*z**3. Find f, given that x(f) = 0.
-3, 2/7, 1
Let n(g) = 20*g**2 - 1931*g + 18. Let p(f) = -5*f**2 + 483*f - 4. Let m(q) = -2*n(q) - 9*p(q). Factor m(c).
5*c*(c - 97)
Let d be 2/15 + (19479/45 - -3). Let q = 436 - d. Factor -12/5*k**2 + q*k + 16/5 + 4/5*k**3.
4*(k - 2)**2*(k + 1)/5
Determine j, given that -530/19*j**3 + 182/19*j**4 + 72/19 - 542/19*j**2 + 144/19*j + 98/19*j**5 = 0.
-3, -1, -2/7, 3/7, 2
Factor 1085*l**4 + 19*l**2 - 30*l**3 + 28885*l**5 - 19*l**2 - 28520*l**5.
5*l**3*(l + 3)*(73*l - 2)
Let b = -3/203 - -433/1827. Suppose -u = -1991*j + 1995*j + 9, 2*j = -4*u - 36. Let 0*x + 2/9*x**2 + j - b*x**3 = 0. What is x?
0, 1
Let m(z) be the first derivative of -z**3 + 15*z**2 - 48*z - 568. Suppose m(o) = 0. What is o?
2, 8
Let g(l) be the third derivative of -l**8/784 + 57*l**7/490 - 109*l**6/140 + 23*l**5/10 - 213*l**4/56 + 53*l**3/14 + 4*l**2 - 661*l. What is k in g(k) = 0?
1, 53
Let v(z) be the third derivative of -z**7/840 + 23*z**6/240 + 47*z**5/240 + 145*z**2 + 3*z. Factor v(f).
-f**2*(f - 47)*(f + 1)/4
Let l(s) be the third derivative of 0*s**3 + s**2 + 1/24*s**6 + 0*s**5 + 0 + 0*s**7 - 5/336*s**8 - 7*s + 0*s**4. Factor l(n).
-5*n**3*(n - 1)*(n + 1)
Let h(r) be the second derivative of r**7/189 - 4*r**6/135 - 17*r**5/15 + 322*r**4/27 - 539*r**3/27 - 8364*r. Solve h(g) = 0 for g.
-11, 0, 1, 7
Suppose -113 = -36*b + 31. Let j(d) be the second derivative of 0 + 1/78*d**b - 5/39*d**3 + 13*d + 4/13*d**2. Solve j(r) = 0.
1, 4
Let f = 25851 - 25849. Factor 0 + f*m**2 + 2/3*m**3 + 0*m.
2*m**2*(m + 3)/3
Let k = 27972 + -27972. Determine m so that -16/7*m**2 + 68/7*m**4 + 0*m + k + 18/7*m**5 + 8*m**3 = 0.
-2, 0, 2/9
Let g(y) = -8*y**2 - 218*y - 2. Let m be g(-27). Suppose -21*w + 32 = -m. Solve -2/9*i**w + 14/9*i**2 + 4/3*i + 0 + 0*i**3 = 0 for i.
-2, -1, 0, 3
Let m(y) = 56*y - 247. Let d be m(5). Let n be (-2)/(22/d) - (-38)/12. Factor 0 - n*b**2 - 1/2*b.
-b*(b + 3)/6
Determine t so that 1/3*t**2 + 0 + 2/3*t**3 - 2/3*t - 1/3*t**4 = 0.
-1, 0, 1, 2
Solve 1/6*l**2 + 5*l + 0 = 0 for l.
-30, 0
Suppose 2*m + 1248 = 3*h, 0 = 3*h + 4*m - 7*m - 1251. Let q = -409 + h. Factor 1/2*s - s**3 + 1/2*s**4 + 1/2*s**q + 1/2 - s**2.
(s - 1)**2*(s + 1)**3/2
Factor -5*v**3 - 7054*v**2 - 9123 - 1315 - 11040*v - 1082 + 7529*v**2.
-5*(v - 48)**2*(v + 1)
Let j(b) be the first derivative of -2/21*b**3 + 1/14*b**4 + 2/7*b - 32 - 1/7*b**2. Factor j(v).
2*(v - 1)**2*(v + 1)/7
Let s(m) = -3*m + 80. Let t be s(24). Factor -k**3 - 3*k**2 + 10*k**2 - t*k**2 + 0*k**3.
-k**2*(k + 1)
Factor -18*b**2 + 1/4*b**3 + 0 + 71/4*b.
b*(b - 71)*(b - 1)/4
Let u(c) be the second derivative of 41 - 5/3*c**3 - 1/6*c**4 + 2*c + 6*c**2. Factor u(a).
-2*(a - 1)*(a + 6)
Let k(p) = -p**3 + 38*p**2 - 69*p + 28. Let w(i) = 3*i**3 - 116*i**2 + 209*i - 82. Let r(j) = -7*k(j) - 2*w(j). Factor r(t).
(t - 32)*(t - 1)**2
Factor -101/3*f**2 + 1/3*f**3 + 3080/3*f - 25168/3.
(f - 44)**2*(f - 13)/3
Factor -112 - 10*h**2 - 40 + 136 + 28*h.
-2*(h - 2)*(5*h - 4)
Let g be -8 - (-112)/(-32)*(-60)/21. Let a(l) be the first derivative of 4 + 6/17*l**g + 10/17*l + 2/51*l**3. Factor a(o).
2*(o + 1)*(o + 5)/17
Let m be (4 + 81/(-12))/((-1)/32). Factor 21 - 8 + 64 - 325*d - 10*d**2 + m.
-5*(d + 33)*(2*d - 1)
Let y(g) be the third derivative of -g**6/160 + 7*g**5/120 + 7*g**4/24 - g**3 - 17*g**2 + 32. Let y(k) = 0. What is k?
-2, 2/3, 6
Factor -5*y**3 + 30*y**4 + 136*y - 2 + 0*y + 3 - 11 - 61*y - 90*y**2.
5*(y - 1)**2*(y + 2)*(6*y - 1)
Suppose -6/7*k**2 + 808/7 - 1208/7*k = 0. Calculate k.
-202, 2/3
Let k(d) be the third derivative of -3/32*d**4 - 126*d**2 + 0 - 1/80*d**5 + 5/4*d**3 + 0*d. Let k(z) = 0. What is z?
-5, 2
Let g(j) be the second derivative of 282*j - 16/21*j**7 - 5/6*j**4 + 8/3*j**6 + 5/3*j**3 - 5/2*j**5 + 0 + j**2. Determine i so that g(i) = 0.
-1/4, 1
Let k = 954 + -952. Factor 172 + 73*d - 58*d**2 + 84*d**k + 172*d + 5*d**3 + 104*d**2 - 52.
5*(d + 1)**2*(d + 24)
Suppose 0 = -3*b - 4*s - 0*s + 29, 5*b = 3*s. What is n in b*n**2 + 144 - 2*n**2 + 290*n - 266*n = 0?
-12
Let p be -88 + (-11016)/(-119) + (-4)/1. Let p*s + 0 - 2/7*s**2 = 0. Calculate s.
0, 2
Let c(o) be the first derivative of -o**6/2 + 12*o**5/5 - 10*o**3 + 3*o**2/2 + 18*o - 1138. Let c(v) = 0. What is v?
-1, 1, 2, 3
Suppose 182405 - 382*t + 1/5*t**2 = 0. What is t?
955
Let m = -194161 - -194196. Suppose -m - 20/3*f**2 + 425/3*f = 0. What is f?
1/4, 21
Let g(z) be the first derivative of z**7/210 - z**6/30 + z**5/15 + 2*z**3/3 + 9*z + 84. Let b(m) be the third derivative of g(m). Suppose b(u) = 0. Calculate u.
0, 1, 2
Let y(k) = k**5 + 2*k**4 + 59*k**3 - 177*k**2 - 240*k. Let p(u) = -4*u**4 - 64*u**3 + 176*u**2 + 240*u. Let h(l) = 5*p(l) + 4*y(l). Find v such that h(v) = 0.
-4, -1, 0, 3, 5
Let 9/7*y**5 - 3*y**4 + 24/7*y - 18/7*y**3 + 36/7*y**2 + 0 = 0. What is y?
-1, -2/3, 0, 2
Determine l, given that 42/5*l + 3/5*l**2 + 72/5 = 0.
-12, -2
Let y be (30/8)/(22 + -10 + 63/(-6)). Find n, given that -1/2*n**4 + 0*n - y*n**3 - 2*n**2 + 0 = 0.
-4, -1, 0
Let h be -7*1/14 - (26/4 - 7). Factor -4/9*o**4 + 0*o + 0*o**2 + 20/9*o**3 + h.
-4*o**3*(o - 5)/9
Let p(y) = 2*y**2 - 10*y + 15. Let j be p(3). Factor 11 + 42*h + 2*h**j - 9*h**2 - 35 + h**3 - 12*h**2.
3*(h - 4)*(h - 2)*(h - 1)
Let y(o) = -3. Let g(z) = 17. Let s(f) = -2*g(f) - 11*y(f). Let l(n) = -2*n**2 + 6*n - 12. Let p(k) = -l(k) + 8*s(k). Let p(h) = 0. Calculate h.
1, 2
Factor 266*h**3 - 21702*h**2 + 2916000 - 1518*h**2 - 112681*h + 289648*h + 327011*h + 1