 c(i) be the first derivative of -i**6/120 - i**5/40 - 79*i**3/3 + 260. Let v(w) be the third derivative of c(w). Suppose v(d) = 0. Calculate d.
-1, 0
Suppose -3/5*x**2 - 2901/5*x + 2904/5 = 0. Calculate x.
-968, 1
Suppose 591*g - 446 = 55 + 681. Let -1/5*l**g - 38/5*l - 361/5 = 0. Calculate l.
-19
Let o(z) be the first derivative of z**4/12 + 35*z**3/9 + 49*z**2/3 + 64*z/3 + 147. Determine r so that o(r) = 0.
-32, -2, -1
Let a(s) be the second derivative of -1/15*s**6 + 0 + 0*s**2 + 1/2*s**5 + 0*s**3 + 57*s - 2/3*s**4. Determine n so that a(n) = 0.
0, 1, 4
Let w(b) = 3*b**2 + 5*b + 2. Let p(i) = -i**3 + 2*i**2 + 5*i + 2. Let s(h) = -5*p(h) + 4*w(h). Let q(z) = z**3 - z. Let g(m) = -6*q(m) + s(m). Factor g(r).
-(r - 2)*(r - 1)*(r + 1)
Let -2*q**5 - 17471*q + 150*q**4 - 5798*q**3 + 22802*q**2 - 45756*q + 2384*q**3 + 34848 + 8843*q = 0. Calculate q.
1, 4, 33
Suppose m + 86 = 113. Let b(j) be the first derivative of 1/28*j**4 + 4/21*j**3 + 5/14*j**2 + m + 2/7*j. Solve b(p) = 0.
-2, -1
Let l(j) be the third derivative of 23*j**2 + 0*j - 1/30*j**6 + 0*j**3 - 4 + 29/15*j**5 - 14/3*j**4. Factor l(d).
-4*d*(d - 28)*(d - 1)
Suppose 4*l + 50 = 58. Suppose 0 = h + l*p, -4*h + 2*h + 2*p = -12. Find r, given that r**h + r**4 - 2*r**2 - 735*r**5 - 2*r + 6*r**3 + 731*r**5 = 0.
-1, -1/2, 0, 1
Let m(d) be the first derivative of d**4/6 - 166*d**3/3 + 5289*d**2 - 30258*d - 515. Factor m(q).
2*(q - 123)**2*(q - 3)/3
Let n = -138 + 117. Let r be n/126*2/(-4). Factor 3/2*k - 27/4 - r*k**2.
-(k - 9)**2/12
Let l be 18/(-12)*24/(-9). Suppose l*s - 87 + 63 = 0. Factor -64*x + 3*x**3 + 64*x + s*x**2.
3*x**2*(x + 2)
Let r(k) be the third derivative of -k**6/480 + 7*k**5/240 + 123*k**4/32 + 675*k**3/8 + 1306*k**2. Factor r(o).
-(o - 25)*(o + 9)**2/4
Let m(c) be the first derivative of c**5/180 + c**4/36 - 4*c**3/9 + 9*c**2 + 6*c + 32. Let h(g) be the second derivative of m(g). Determine r so that h(r) = 0.
-4, 2
Suppose 0 = -42*o - 201 + 75. Let w(a) = 39*a + 119. Let u be w(o). Find z, given that -5/3*z + 2/3*z**u + 2/3 = 0.
1/2, 2
Let t(u) = u**2. Let j = 78 + -96. Let q be t(j). Factor 80*i**2 + 180*i**3 - 64 - q*i**2 + 15*i - 303*i - 25*i**4.
-(i - 4)**2*(5*i + 2)**2
Factor 16050167 - 16101197 - 1596*x - x**3 - 2913*x - 124*x**2.
-(x + 27)**2*(x + 70)
Solve 23/5*r - 1/10*r**4 - 3/2 - 24/5*r**2 + 9/5*r**3 = 0.
1, 15
Factor -160*r**2 - 170*r**2 - 152*r**2 + 527*r**2 + 415*r + 90.
5*(r + 9)*(9*r + 2)
Suppose -f = 2*a - 6*a - 73, 4*f - 256 = -2*a. Let g be 73/365 + 17/f. Factor -72/13*o - 192/13*o**2 + 70/13*o**3 - g*o**4 + 0.
-2*o*(o - 6)**2*(3*o + 1)/13
Let i(k) be the first derivative of 2*k**3/27 - 110*k**2 + 54450*k - 1019. Solve i(h) = 0.
495
Let u(o) be the second derivative of o**5/20 + 55*o**4/12 + 152*o**3 + 2016*o**2 + 5*o + 386. Let u(h) = 0. Calculate h.
-24, -7
Solve -2/7*m**3 + 18*m**2 - 912/7*m + 1760/7 = 0.
4, 55
Let q be 19/((21/(-14))/(6/(-4))). Suppose -q*o**3 + 47*o - 14*o**2 - 2 + 17*o**3 - 13*o - 16 = 0. Calculate o.
-9, 1
Let h be (10/(-12) + 1)/(9655/11586). What is d in -8/5 - 1/5*d**2 + 2*d - h*d**3 = 0?
-4, 1, 2
Suppose -14*s - 5 = -47. Factor 6*j**2 - 21127 + 9*j + 21127 + 0*j**3 - s*j**3.
-3*j*(j - 3)*(j + 1)
Let v(t) be the first derivative of -123/10*t**2 - 95 + 21/5*t - 6/5*t**3. Let v(m) = 0. Calculate m.
-7, 1/6
Let y(r) = -r**3 + 9*r**2 + 5*r. Let i(f) = 5*f**3 - 25*f**2 + 20*f + 48. Let o(g) = 5*i(g) + 20*y(g). Factor o(c).
5*(c + 3)*(c + 4)**2
Factor 106*l**2 + 404998/17*l - 406802/17 + 2/17*l**3.
2*(l - 1)*(l + 451)**2/17
Let h be 1540/300 - 560/(-210)*(-3)/60. Solve -48/5*b**2 - 9/5*b - 48/5*b**4 - 9/5*b**h + 0 - 78/5*b**3 = 0.
-3, -1, -1/3, 0
Find y such that -2*y**3 - 538*y**2 + 170*y - 826*y - 120*y**2 = 0.
-328, -1, 0
Let g = 35377/70750 - 1/35375. Factor 0 - 3/2*o**3 - 1/2*o**2 + o + 1/2*o**5 + g*o**4.
o*(o - 1)**2*(o + 1)*(o + 2)/2
Let c(o) = 6*o + 38. Let h be c(-6). Let j(l) be the first derivative of 2*l**3 + 33 - l**4 - 7 - 3*l - 4*l**h + 6*l**3 - 3*l**3. Factor j(z).
-(z - 3)*(z - 1)*(4*z + 1)
Let x = -5796/79 + 11671/158. Suppose -13/2*l**2 + x*l**3 + 0 - 7*l = 0. Calculate l.
-1, 0, 14
Let l(u) be the second derivative of -121*u**7/105 + 2827*u**6/75 - 1839*u**5/25 + 106*u**4/3 - 88*u**3/15 - 2184*u. Find g such that l(g) = 0.
0, 2/11, 1, 22
Let i be 5/3 - 14098/12084. Factor 1/4*l**3 - i + 5/4*l - l**2.
(l - 2)*(l - 1)**2/4
Let g(c) be the first derivative of c**4/16 - 9*c**3/4 - 3*c + 102. Let u(p) be the first derivative of g(p). Determine s, given that u(s) = 0.
0, 18
Suppose 5*i**4 - 11*i + 6644 - 189*i - 3868 - 3651 + 870*i**2 + 200*i**3 = 0. What is i?
-35, -5, -1, 1
Let o(y) be the third derivative of y**10/453600 - y**8/15120 - 7*y**5/20 + 31*y**2. Let b(k) be the third derivative of o(k). Solve b(a) = 0 for a.
-2, 0, 2
Suppose 0 = -52*f - 697 + 801. Factor 8/5*s**f - 8*s - 2/5*s**4 + 0 + 2*s**3.
-2*s*(s - 5)*(s - 2)*(s + 2)/5
Let t(i) be the third derivative of -i**6/1020 - 538*i**5/255 - 96839*i**4/68 - 192246*i**3/17 - 91*i**2 - i - 3. Factor t(q).
-2*(q + 2)*(q + 537)**2/17
Let g(u) = -6*u + 4. Let l be g(4). Let a be l/(-9) - (-6)/(-27). Suppose a*t - 5*t**3 - 12*t + 6*t**2 + 9*t**2 = 0. Calculate t.
0, 1, 2
Let r(q) be the first derivative of q**4/6 + 826*q**3/9 + 42016*q**2/3 - 86528*q + 4554. Factor r(v).
2*(v - 3)*(v + 208)**2/3
What is p in 0*p - 1827904/7*p**2 + 0 - 2708/7*p**4 - 919360/7*p**3 - 2/7*p**5 = 0?
-676, -2, 0
Factor 219/5*b + 0 + 222/5*b**2 + 3/5*b**3.
3*b*(b + 1)*(b + 73)/5
Let g(a) = a**3 - 6*a**2 + 261*a - 1280. Let y be g(5). Find x such that -16/9*x**2 - 8/9*x + y + 2/9*x**5 + 4/9*x**4 - 2/3*x**3 = 0.
-2, -1, 0, 2
Let o be ((-6)/(-5))/((-3122)/(-7805)). Let 8/15 - 22/15*k**2 - 6/5*k**o + 32/15*k = 0. Calculate k.
-2, -2/9, 1
Let f(n) be the third derivative of 0 + 1/60*n**6 + 1/105*n**7 + 29*n**2 - 1/3*n**4 - 1/5*n**5 - n + 8/3*n**3. Factor f(d).
2*(d - 2)*(d - 1)*(d + 2)**2
Let i(q) be the second derivative of 5*q**7/1134 - q**6/81 + 2*q**5/135 + q**4/12 + 9*q**3 + 73*q. Let c(w) be the third derivative of i(w). Factor c(r).
4*(5*r - 2)**2/9
Let g = 153 - -7. Let u be (20/g)/((-2)/(-8)). Factor 0 - 3/4*j**3 - u*j**4 + 1/2*j**2 + 0*j.
-j**2*(j + 2)*(2*j - 1)/4
Let q = 20988 - 20988. Let t(l) be the second derivative of 0 + 1/10*l**5 - 15*l + 1/75*l**6 + 0*l**2 + 2/15*l**4 + q*l**3. Factor t(b).
2*b**2*(b + 1)*(b + 4)/5
Let t(z) be the second derivative of -z**5/12 - 335*z**4/24 - 55*z**3 - 108*z**2 + z - 42. Let r(f) be the first derivative of t(f). Let r(l) = 0. Calculate l.
-66, -1
Let f(s) be the first derivative of -s**5/15 + 7*s**4/2 - 481*s**3/9 + 140*s**2 - 400*s/3 - 3043. Let f(c) = 0. Calculate c.
1, 20
Let v(m) = m**2 - 4*m - 72. Suppose 3*d + 185 - 164 = 0. Let g be v(d). Find q such that -3/5*q**3 + 0*q + 0*q**2 + 0 + 6/5*q**4 - 3/5*q**g = 0.
0, 1
Let a(z) be the second derivative of -z**6/10 - 6*z**5/5 - 6*z**4 - 16*z**3 - 24*z**2 - 66*z. Suppose a(c) = 0. Calculate c.
-2
Let k be (58/(-87))/(4*3/(-11214)). Factor -12628*x - 3*x**3 - 2*x**3 - 490*x**2 + k*x.
-5*x*(x + 49)**2
Let q(h) be the third derivative of 11*h**8/560 + 4*h**7/21 - 29*h**6/200 - 89*h**5/50 + 91*h**4/30 + 4*h**3/5 + 1475*h**2 - h. Determine w so that q(w) = 0.
-6, -2, -2/33, 1
Let i be (-3)/(-27) + 0/(36 + -64). Determine v so that -3*v**2 + 17/3*v + i*v**3 - 25/9 = 0.
1, 25
Find q, given that 512/3 - 508/3*q - 4/3*q**2 = 0.
-128, 1
Let x(v) be the third derivative of -v**5/60 - 29*v**4/4 + 1776*v**2 - v + 3. Factor x(d).
-d*(d + 174)
Let o = -14/15725 + 141581/62900. Factor 93/4*p - 6 - o*p**3 - 15*p**2.
-3*(p - 1)*(p + 8)*(3*p - 1)/4
Let g be 56/30 + 28*1/(-245)*-7. Suppose -j + 3 = -1. Solve -g*w**2 + w - 4/3*w**j - 5*w**3 + 0 = 0 for w.
-3, -1, 0, 1/4
Let i be -34*4/(-22) + -6 + 11 + (-285)/55. Factor i + 7/2*c + 1/2*c**2.
(c + 3)*(c + 4)/2
Let s(d) be the third derivative of -d**5/20 + 647*d**4/4 - 418609*d**3/2 - d**2 + 1112*d. Find b, given that s(b) = 0.
647
Let g(v) be the second derivative of -222605*v**4/12 + 10550*v**3/3 - 250*v**2 + 251*v + 2. Find d, given that g(d) = 0.
10/211
Let u = -122495 - -122497. Factor 1/4*c + 0*c**u + 0 - 1/4*c**3.
-c*(c - 1)*(c + 1)/4
Let y(m) be the third derivative of 1/210*m**7 + 0 - 12*m**2 + 0*m + 0*m**3 + 1/45*m**6 + 1/45*m**5 + 0*m**4. Factor y(s)