tor z(n).
-(n - 3)*(n - 1)*(n + 1)
Let q(z) be the third derivative of -z**7/3780 + z**6/270 - 11*z**5/540 + z**4/18 + 47*z**3/6 - 15*z**2. Let v(p) be the first derivative of q(p). Factor v(u).
-2*(u - 3)*(u - 2)*(u - 1)/9
Let t(l) be the third derivative of -l**7/12600 - l**6/720 + 5*l**4/24 + l**3/2 + 4*l**2 + l. Let z(n) be the second derivative of t(n). Factor z(q).
-q*(q + 5)/5
Let a(m) = -2039*m - 42817. Let g be a(-21). Factor -7/2*p**g + 7/2*p + p**3 - 1.
(p - 2)*(p - 1)*(2*p - 1)/2
Let v = 79 - 75. Let t(s) = -9*s**3 - 70*s - 20*s - 26*s - 80 - 41*s**2. Let h(d) = -17*d**3 - 83*d**2 - 233*d - 160. Let w(i) = v*h(i) - 7*t(i). Factor w(o).
-5*(o + 1)*(o + 4)**2
Let n = 154999 - 154995. Let f be 2/4*-2 - -3. Factor 2/3*z**f + 0 + 2/3*z**n + 4/3*z**3 + 0*z.
2*z**2*(z + 1)**2/3
Let t(g) be the first derivative of -g**5/80 + g**4/16 - g**2/2 + 112*g + 6. Let j(i) be the first derivative of t(i). Find p, given that j(p) = 0.
-1, 2
Let a(w) be the first derivative of w**8/2184 + w**7/455 - w**6/195 + 11*w**2/2 + 7*w - 62. Let y(g) be the second derivative of a(g). Factor y(v).
2*v**3*(v - 1)*(v + 4)/13
Let s(t) be the first derivative of 5*t**3/12 - 755*t**2/8 - 1181. Find x, given that s(x) = 0.
0, 151
Suppose 57*g = 56*g + 87. Suppose -41*k**2 + 62 - g*k + 36*k**2 + 30*k - 24*k - 72*k = 0. Calculate k.
-31, 2/5
Suppose -2*j - 1355 = 5*k, 5*j - 244 = 5*k - 4*k. Let p = -260 - k. Factor 3/2*x**4 + p*x**2 - 12 + 15/2*x**3 - 6*x.
3*(x - 1)*(x + 2)**3/2
Let q be (-441)/(-4) + 1/(-4). Let d = q + -108. Suppose -450 - 102*i + 42*i + 0*i**d - 2*i**2 = 0. Calculate i.
-15
Factor -26813*s**2 + 26828*s**2 - 180 + 4*s**3 - s**3 - 229*s + 61*s.
3*(s - 6)*(s + 1)*(s + 10)
Let m = -452703 + 452705. Find i, given that -2/7*i**m - 2/7*i**3 + 0 + 4/7*i = 0.
-2, 0, 1
Let f be 2*1/(-5)*-10. Let q(w) = -w**4 + w**3 - w**2. Let h(u) = 16*u**4 + 69*u**3 - 164*u**2 + 75*u. Let i(g) = f*q(g) - h(g). Suppose i(t) = 0. Calculate t.
-5, 0, 3/4, 1
Let j(o) = -7*o**3 - 53*o**2 - 333*o - 273. Let n(q) = 114*q**3 + 843*q**2 + 5328*q + 4368. Let c(d) = 33*j(d) + 2*n(d). Suppose c(f) = 0. Calculate f.
-13, -7, -1
Let k be (-2840)/3479*(-210)/120. Factor k - 8/7*o - 2/7*o**2.
-2*(o - 1)*(o + 5)/7
Suppose 612968 - 613136 = -56*b. Factor 32/3 + 2/3*i**b + 16/3*i**2 + 40/3*i.
2*(i + 2)**2*(i + 4)/3
Suppose 21*a - 2 = 20*a. Suppose -a*p = 2*b - 8, -50*p - 12 = -5*b - 53*p. Let -1/7*r**2 + 2/7*r + b = 0. What is r?
0, 2
Let r be 101/11 - (97/(-11) - -9). Suppose r*k = 6*k - 4*u + 17, -3*u = -4*k + 6. Factor -3/5 - 3/5*l**4 - 18/5*l**2 + 12/5*l + 12/5*l**k.
-3*(l - 1)**4/5
Let i(b) be the first derivative of -b**6/8 + 1053*b**5/10 - 369603*b**4/16 - 3069. Let i(w) = 0. What is w?
0, 351
Suppose 0 = 5*v - 4*q - 178, -7*v + 4*v + q = -111. Factor -41*n**4 + 23*n**3 + 74*n**4 - v*n**4 - 10*n**2 - 8*n.
-n*(n - 4)*(n - 1)*(5*n + 2)
Let v be (-41)/(-24)*2 + (-2013)/671. Let y(i) be the first derivative of -17 + 0*i**2 + 5/16*i**4 + 0*i + v*i**3. Suppose y(d) = 0. Calculate d.
-1, 0
Let -36984/5*t + 2/5*t**4 + 38636/5*t**2 - 554/5*t**3 - 76176/5 = 0. What is t?
-1, 2, 138
Let q be (24/(-18))/4 + (-2)/(-6). Suppose -5*g + 19 = 3*w, q = -4*g + 3*w - w + 2. Find t such that 125*t**2 - 14*t - t - 120*t**g = 0.
0, 3
Let v = -42 + 45. Suppose a = 2*x + 4, -2*a = -v*x - 3 - 4. Solve -6 - 196*l - a*l**3 + 408*l - 202*l - 2*l**2 = 0 for l.
-3, 1
Let x(m) be the first derivative of -2*m**5/35 - 15*m**4/7 - 18*m**3 - 292*m**2/7 - 264*m/7 + 2649. Suppose x(i) = 0. Calculate i.
-22, -6, -1
Let i(k) be the third derivative of 321*k**2 + 2/3*k**4 + 1/6*k**5 + 0 - 4/3*k**3 + 0*k. Find r such that i(r) = 0.
-2, 2/5
Suppose 6*r + 2*r - 96 = 0. Let 13*q**4 + 893*q**5 - 877*q**5 + 168*q**3 + r - 112*q**2 - 64*q**4 - 41*q**4 + 8*q = 0. Calculate q.
-1/4, 1, 3
Let x(v) = -30*v**2 + 67*v + 324. Let b(c) = 4*c**2 - 17*c - 2. Let m(i) = 14*b(i) + 2*x(i). Factor m(f).
-4*(f - 5)*(f + 31)
Let d(s) = -3*s + 36. Suppose 2 + 142 = 12*f. Let z be d(f). Let -2/3*u**2 + z + 2/3*u = 0. Calculate u.
0, 1
Suppose 7*k = 181*k - 870. Let o(r) be the third derivative of 0*r + 0 + 1/5*r**4 + 12/5*r**3 + 5*r**2 + 1/150*r**k. Find q such that o(q) = 0.
-6
Suppose 670 - 654 = 4*f. Let x(r) be the second derivative of 0*r**3 - 11*r + 1/54*r**f + 0*r**2 - 1/90*r**5 + 0. Factor x(t).
-2*t**2*(t - 1)/9
Solve -50*c**3 + 507*c**4 - 991*c**4 + 492*c**4 - 16*c + 52*c**2 + 6*c**5 = 0.
-4, 0, 2/3, 1
Let m(q) be the first derivative of q**6/1800 - q**5/40 + 7*q**4/60 + 20*q**3/3 + q**2 - 165. Let u(r) be the third derivative of m(r). Let u(c) = 0. What is c?
1, 14
Let g(y) be the first derivative of y**6/14 + y**5/7 - 39*y**4/14 + 16*y**3/21 + 48*y**2/7 - 962. Find t, given that g(t) = 0.
-6, -1, 0, 4/3, 4
Suppose 0*a + 4 = 3*a - 5*s, -s - 11 = -4*a. Find g such that 3 + a*g**3 - g**3 - 2*g - 12*g**2 + 31*g**2 - 23*g**2 + g**4 = 0.
-3, -1, 1
Let v be 2*(12/14 + (-198)/252). Let k(y) be the third derivative of 0 - 1/140*y**5 + v*y**3 + 0*y - 1/56*y**4 + 7*y**2. Find r such that k(r) = 0.
-2, 1
Let f be 987/2115 + (-4)/30. Let d(x) be the first derivative of f*x**2 + 2/27*x**3 + 1 + 4/9*x. Solve d(u) = 0 for u.
-2, -1
Suppose -36*z + 454 = 191*z. Let j(a) be the first derivative of -1/5*a**5 + 1/4*a**4 + 8 + z*a + a**3 - 5/2*a**2. Suppose j(n) = 0. What is n?
-2, 1
Let s(l) be the third derivative of 0*l + 0 - 72*l**2 + 2/15*l**4 + 0*l**3 - 1/75*l**5. Find m such that s(m) = 0.
0, 4
Let v(t) = -42*t - 47. Let b be v(-4). Determine u so that -b*u**2 + 123*u**2 + 44 - 8*u - 18*u = 0.
2, 11
Let k(x) = -x**2 + 2*x - 3. Let q(n) = 9*n**2 + 13*n - 72. Let g(j) = -24*k(j) - 3*q(j). Determine m, given that g(m) = 0.
-32, 3
Let a(n) = 5*n**3 - 36*n**2 - n - 18. Let o be a(9). Let f be 52/o + 28/27. Let 22/9*w + 2/9*w**3 + f + 14/9*w**2 = 0. Calculate w.
-5, -1
Let p be 34/(-26) - (1 + -4). Let u = p + -115/91. Factor 9/7*t**2 + 0 - u*t - 9/7*t**3 + 3/7*t**4.
3*t*(t - 1)**3/7
Let j(x) = x**2 - x + 1. Let l(m) = -24*m**2 + 188*m - 20. Let f(b) = -20*j(b) - l(b). Factor f(v).
4*v*(v - 42)
Suppose 0 = 3*g + 57, -4*d = -508*g + 509*g + 9 - 2. Factor -3*k + 2 + 3/2*k**2 - 1/4*k**d.
-(k - 2)**3/4
Let z be ((-24)/6)/(-22 + -22). Find l, given that -2/11*l**3 + 0 + 1/11*l**2 - z*l**4 + 2/11*l = 0.
-2, -1, 0, 1
Solve -313*a**4 - 17280 + 425*a**3 + 420*a**4 + 17628*a - 5928*a + 5160*a**2 - 112*a**4 = 0.
-6, 1, 96
Let j(h) be the second derivative of -h**5/20 + 7*h**4/8 + 4*h**3 + 24*h**2 + 2*h - 7. Let a(u) be the first derivative of j(u). Find g, given that a(g) = 0.
-1, 8
Let r(b) be the second derivative of b**5/5 + 10*b**4 + 262*b**3/3 + 300*b**2 - 1312*b. Solve r(i) = 0.
-25, -3, -2
Let o(q) be the third derivative of q**5/20 + 5*q**4/4 - 231*q**3/2 - 3*q**2 + 19. Factor o(f).
3*(f - 11)*(f + 21)
Let j(h) be the second derivative of h**6/315 - h**5/210 - h**4/28 - 2*h**3/63 - 35*h**2/2 - 3*h - 1. Let r(z) be the first derivative of j(z). Factor r(c).
2*(c - 2)*(c + 1)*(4*c + 1)/21
Let i = -14 + -48. Let y be (-2)/3*(5 + i). Find w such that 8*w - 33*w**4 - 4*w**2 - 60*w**3 - 28*w**5 - 5*w**4 - y*w**4 = 0.
-1, 0, 2/7
Let t(l) be the third derivative of l**5/360 - 337*l**4/72 + 113569*l**3/36 + 40*l**2 + l + 11. Factor t(b).
(b - 337)**2/6
Let c(i) = -16*i**4 + 32*i**3 - i**2 - 19*i - 22. Let j(v) = 5*v**4 - 10*v**3 + 6*v + 7. Let s(z) = 4*c(z) + 13*j(z). Solve s(h) = 0.
-1, 1, 3
Let d be ((-5)/(-10) - -1)/(6/(-8)). Let y = d - -5. Factor 1191 - 2*m**y + 2*m**5 - 1191.
2*m**3*(m - 1)*(m + 1)
Let l be (1 + -7)*8/(-16). Let g - g + 210*g**3 + 12*g**2 - 212*g**l = 0. What is g?
0, 6
Let x = 4229 + -4227. Let u(l) be the third derivative of 0 + 27*l**x + 2/3*l**3 + 1/4*l**4 + 1/30*l**5 + 0*l. Find q such that u(q) = 0.
-2, -1
Let q = 12 + 76. Suppose 38 = 9*j - q. Factor 20*z**2 + j*z**2 - 8 + 8*z + 10*z**3 - 8*z**2.
2*(z + 1)*(z + 2)*(5*z - 2)
Suppose -16 = -4*j + 8. Suppose -6 = -3*u - 2*t + 4*t, 3*u - j = 3*t. Find c such that 4*c**u - 4*c - c**3 - 7*c**2 - c**2 = 0.
-2, 0
Let y(d) = -40*d**2 - 90*d - 80. Let v(r) = r**3 + 40*r**2 + 92*r + 80. Let s(x) = 5*v(x) + 4*y(x). Factor s(w).
5*(w + 2)**2*(w + 4)
Let w = 102 + -99. Suppose 0 = w*y - 2*y - 4. Factor -7 + 3 + 0*o**3 + o**y + 0 - 4*o**3 + 4*o + 3*o**2.
(o - 2)**2*(o - 1)*(o + 1)
Let v be (36/(-20))/