 c(f) be the first derivative of j(f). Let c(m) = 0. Calculate m.
-2, 1
Let j(o) be the first derivative of -o**5/15 + 35*o**4/12 + 25*o**3/3 - 35*o**2/6 - 74*o/3 - 512. Let j(f) = 0. Calculate f.
-2, -1, 1, 37
Let z(j) be the third derivative of -j**7/420 - j**6/48 - j**5/40 + 5*j**4/48 + j**3/3 - 3*j**2 + 306*j. Factor z(n).
-(n - 1)*(n + 1)**2*(n + 4)/2
Let o(g) be the first derivative of -1/14*g**2 - 64 + 1/21*g**3 + 0*g. Factor o(z).
z*(z - 1)/7
Let c(n) be the second derivative of -n**5/20 - 131*n**4/18 + 1240*n**3/9 - 256*n**2 + 4478*n. Factor c(b).
-(b - 8)*(b + 96)*(3*b - 2)/3
Let i be 50/(-30)*(-2 + 1 + -2). Let l(g) be the second derivative of 1/2*g**3 - 3/20*g**i - 3/4*g**4 + 9/2*g**2 + 0 + 2*g. Factor l(v).
-3*(v - 1)*(v + 1)*(v + 3)
Let m(u) be the first derivative of -u**3/21 - 143*u**2/7 - 20449*u/7 + 2599. Factor m(p).
-(p + 143)**2/7
Determine n so that 0 - 154/9*n**4 - 86/9*n**2 + 164/9*n + 4/9*n**5 - 136/3*n**3 = 0.
-2, -1, 0, 1/2, 41
Let s = 0 + 1. Let y be 1 + (s - -1) - (5 - 8). Let -5 + 4*a - 2*a**2 + 5 - y*a**3 = 0. Calculate a.
-1, 0, 2/3
Suppose 112/3*h + 40/3 - 2/3*h**5 + 34/3*h**3 + 106/3*h**2 - 2/3*h**4 = 0. What is h?
-2, -1, 5
Let u(y) = 36*y + 4716. Let x be u(-131). Find q, given that 0 + 6/11*q**3 - 8/11*q + x*q**2 - 2/11*q**4 = 0.
-1, 0, 2
Let q(n) be the third derivative of n**7/525 - 23*n**6/300 - 4*n**5/5 + 27*n**4/5 - n**2 + n + 185. Factor q(t).
2*t*(t - 27)*(t - 2)*(t + 6)/5
Let n(t) = -15*t**2 + 579*t + 1836. Let p(v) = -17*v**2 + 577*v + 1842. Let f(j) = -7*n(j) + 6*p(j). What is q in f(q) = 0?
-3, 200
Let g(c) = 3*c**2 + c + 2. Let i(v) = -25*v**2 + 409*v + 398. Let a(y) = -18*g(y) - 2*i(y). Factor a(j).
-4*(j + 1)*(j + 208)
Suppose 0 = i - 589 + 254. Factor -3*q + 2*q**2 - i*q**3 + 338*q**3 - 23*q**2 + 21.
3*(q - 7)*(q - 1)*(q + 1)
Let t be (-3150)/300 - (-25571)/494. Factor -t - 280/19*b + 52/19*b**2 - 2/19*b**3.
-2*(b - 14)**2*(b + 2)/19
Let z(t) be the first derivative of t**3/6 + 461*t**2 - 1845*t/2 - 6890. Find f such that z(f) = 0.
-1845, 1
Let c = -9/139 + 733/9174. Let x = c + 14/165. Determine i, given that -18/5 - 6*i + i**3 - 13/10*i**2 - x*i**4 = 0.
-1, 6
Let c(p) be the first derivative of -4/21*p**3 - 36/7*p + 37/7*p**2 + 47. Factor c(o).
-2*(o - 18)*(2*o - 1)/7
Let f(x) be the first derivative of -3*x**4/16 - 7*x**3/4 - 3*x**2/2 + 9*x + 129. Solve f(y) = 0 for y.
-6, -2, 1
Let a(f) be the first derivative of 0*f + 2*f**3 - 66 + 5/2*f**4 - 4*f**2 - 6/5*f**5 - 1/3*f**6. Solve a(p) = 0 for p.
-4, -1, 0, 1
Let y(z) be the third derivative of -z**8/6720 + z**7/1680 + 7*z**5/60 + 5*z**2. Let l(r) be the third derivative of y(r). Factor l(k).
-3*k*(k - 1)
Let w(x) be the second derivative of 56*x**4/9 + 8*x**3 + 27*x**2/7 + 316*x + 1. Factor w(z).
2*(28*z + 9)**2/21
Let x(l) be the first derivative of -l**4/16 + 19*l**3/6 + 41*l**2/8 - 39*l/2 + 7504. Determine u so that x(u) = 0.
-2, 1, 39
Let f(g) be the second derivative of 1/15*g**6 + 7/2*g**4 + 2*g - 4/5*g**5 - 22/3*g**3 + 8*g**2 + 66. Let f(k) = 0. What is k?
1, 2, 4
Suppose 0 + 24/7*t + 8/7*t**5 - 22/7*t**4 - 38/7*t**3 + 88/7*t**2 = 0. What is t?
-2, -1/4, 0, 2, 3
Let o(l) = 23*l - 1930. Let z be o(84). Let r(s) be the first derivative of -1/3*s**3 + 5/16*s**4 - 11/8*s**z - 1/2*s + 9. Determine a so that r(a) = 0.
-1, -1/5, 2
Let a(y) = -y**2 - 6*y - 3. Let i be a(0). Let d(r) = -r**2 - 74*r - 120. Let x(b) = -2*b**2 - 73*b - 120. Let j(w) = i*d(w) + 4*x(w). Factor j(h).
-5*(h + 2)*(h + 12)
Let u(t) be the second derivative of 8 - t + 49/3*t**3 - 1/10*t**5 + 1/6*t**4 - 49*t**2. Determine k, given that u(k) = 0.
-7, 1, 7
Let g(b) be the first derivative of 0*b + 30*b**2 - 35 + 4/3*b**3. Suppose g(j) = 0. What is j?
-15, 0
Suppose -3*i - 5*h + 25 = i, 0 = -3*i + 2*h + 13. Suppose -28 = -4*r + i*y + 10, 3*r - 17 = -2*y. Suppose -r*d + 2*d**2 - 1 + 0*d - d**2 + 7 = 0. Calculate d.
1, 6
Let -37 - 4*v**2 + 205*v + 1 + 7*v**2 - 2*v**2 - 170*v = 0. Calculate v.
-36, 1
Let u(v) be the third derivative of -v**5/100 - 393*v**4/40 - 3*v**2 + 916. Factor u(f).
-3*f*(f + 393)/5
Factor 490*b**5 - 12*b**3 - 296*b**5 + 14*b**4 - 196*b**5.
-2*b**3*(b - 6)*(b - 1)
Factor 358*o**2 + 271*o**2 - 6731*o - 11331*o - 9048064 + 6030*o - 633*o**2.
-4*(o + 1504)**2
Let a = 15/11416 - 90597451/57080. Let p = a - -1598. Find r such that -p*r - 3/5*r**2 - 243/5 = 0.
-9
Let g(t) = t**3 - 11*t**2 + 26*t + 7. Let c be g(7). Let a be 18/(-20)*c/(21/8). Let a*s**3 + 27/5*s**2 + 18/5*s + 3/5 = 0. Calculate s.
-1, -1/4
Factor 5*x - 7498*x**4 - 65*x**2 + 3760*x**4 + 104*x**3 + 3*x + 3726*x**4.
-x*(x - 8)*(2*x - 1)*(6*x - 1)
Let n be (36/(-4032)*24)/(36/(-112)). Solve -34/3*o**2 + 64*o - 120 + n*o**3 = 0.
5, 6
Let u(z) be the second derivative of -z**6/50 - 1611*z**5/20 + 5373*z**4/20 - 2687*z**3/10 - 4188*z. Factor u(q).
-3*q*(q - 1)**2*(q + 2687)/5
Let j be (-10)/(-32)*(-5012)/(-895). Find i such that 29/8*i - 2*i**2 - j + 1/8*i**3 = 0.
1, 14
Suppose -2*g = -5*s + 8 + 17, 55 = 4*g + 5*s. Let m(n) be the third derivative of 0*n**3 + 1/9*n**4 - 1/180*n**6 + 23*n**2 + 0*n**g + 0*n + 0. Factor m(f).
-2*f*(f - 2)*(f + 2)/3
Let d(g) be the third derivative of -g**5/210 + 10*g**4/21 + 4*g**3 - 31*g**2 - 58*g. Determine c so that d(c) = 0.
-2, 42
Suppose -2586 = -15*c - 2151. Let u(l) be the third derivative of 1/30*l**5 + 5/84*l**4 + 0 - 2/21*l**3 + 0*l - c*l**2. Factor u(f).
2*(f + 1)*(7*f - 2)/7
Suppose 0 = -14*b - 22*b + 72. Determine i so that -308*i - 7*i**b - 5*i**3 - 33*i**2 + 403*i - 50 = 0.
-10, 1
Let t(p) be the first derivative of p**7/126 + p**6/45 - p**5/60 - p**4/18 + 96*p + 53. Let q(g) be the first derivative of t(g). Factor q(k).
k**2*(k - 1)*(k + 1)*(k + 2)/3
Let c(v) be the first derivative of -1/14*v**4 - 6/7*v**2 + 10/21*v**3 + 184 + 0*v. Find p such that c(p) = 0.
0, 2, 3
Suppose 0*k + 48 = 3*k. Let r(y) = y**2 - 14*y - 30. Let p be r(k). Factor 6*d**3 - p*d**3 + 29*d - 25*d + 8*d**2.
4*d*(d + 1)**2
Let m(f) = f**3 - 15*f**2 + 4. Let a be m(15). Let i = -2 + a. Solve 2*y - 3*y**i + 3*y**2 - 2*y**2 - 4*y = 0 for y.
-1, 0
Let q(n) be the first derivative of 12*n + 19 - 1/2*n**3 + 3/2*n**2. Solve q(v) = 0 for v.
-2, 4
Suppose 0 = -m - 0*d - 3*d - 4, -2*d = 3*m - 2. Suppose 129 = p + m*p. Solve 16*b**2 - 3*b**3 - 48*b + p - 6*b**4 - 2 + b**5 + 11*b**3 - 9 = 0 for b.
-2, 2
Let o(s) be the second derivative of 1/10*s**5 + 0 - 2*s**2 - 1/3*s**3 - 20*s - s**6 + 17/6*s**4. Solve o(g) = 0.
-1, -1/3, 2/5, 1
Solve 3/2*b**2 + 0 - 135*b = 0 for b.
0, 90
Let m(d) be the third derivative of -d**7/420 - d**6/10 - 119*d**5/120 + 25*d**4/2 + 300*d**3 + 5666*d**2. Factor m(c).
-(c - 5)*(c + 5)*(c + 12)**2/2
Let t be 714/252 + (-5)/6. Solve -60*l - 10*l**3 - 5*l**2 + 76*l**t - 17*l**2 + 16 = 0 for l.
2/5, 1, 4
Let b(k) be the third derivative of -1/840*k**7 + 1/6*k**3 + 11*k**2 - k - 1/24*k**4 - 1/80*k**5 + 1/120*k**6 + 0. Factor b(t).
-(t - 2)**2*(t - 1)*(t + 1)/4
Let p(z) be the second derivative of z**6/900 + z**5/100 + z**4/30 + 35*z**3/3 + 35*z + 1. Let c(b) be the second derivative of p(b). Solve c(r) = 0.
-2, -1
Solve -140640*m + 7032/11*m**3 - 35200 - 8/11*m**4 - 1541762/11*m**2 = 0 for m.
-1/2, 440
Let y(u) be the third derivative of -u**5/90 - 848*u**4/9 - 2876416*u**3/9 - 2*u**2 - 366. Factor y(f).
-2*(f + 1696)**2/3
Let i be -12 + -34 + (-16280)/(-100). Let -1001/5*g**4 + 49/5*g**5 - i*g**3 + 0*g + 0 - 84/5*g**2 = 0. Calculate g.
-2/7, 0, 21
Suppose 2*n = -3*n + 5, -165 = -2*c + n. Let u = c + -81. Factor 12*h + 4*h**2 - 5*h**2 + u*h**3 - 2 - 14*h + 3*h**2.
2*(h - 1)*(h + 1)**2
Let u(n) = 60*n**2 - 52*n - 248. Let s(a) = -209*a**2 + 155*a + 744. Let b(x) = 2*s(x) + 7*u(x). Factor b(c).
2*(c - 31)*(c + 4)
Let n be (0 - (0 + -1))/((-2)/(-6)). Let v(b) = b**3 - b**2 - 4*b - 3. Let f be v(n). Factor o**2 + 3 + 6*o + 3*o - o**2 + 3*o**f + 9*o**2.
3*(o + 1)**3
Let q(g) be the third derivative of g**5/80 + 1587*g**4/8 + 2518569*g**3/2 - 4*g**2 - 614*g - 1. Factor q(o).
3*(o + 3174)**2/4
Let x(u) = u**2 - u + 1. Let n(t) = -28 - 2 - 17 - 5*t. Let c be n(-9). Let m(b) = 5*b**2 - 23*b - 22. Let i(j) = c*x(j) + m(j). Factor i(o).
3*(o - 8)*(o + 1)
Suppose 5*z - 4*t - 11 = 0, -8*z + 11 = -5*z + 2*t. Let f be 180/30 + z + 25/(-3). Solve 4/3*p**3 + 0 + 2/3*p**4 + 0*p + f*p**