 n(i) be the third derivative of 3/80*i**6 - 15*i**2 - 1/140*i**7 + 0*i**j + 0*i**3 + 0*i + 0*i**5 + 0. Factor n(g).
-3*g**3*(g - 3)/2
Determine n, given that -2188 + 91*n**2 - 275*n - 2214 + 4478 = 0.
4/13, 19/7
Let x(l) = 10*l**2 + 1202*l + 3274. Let y(b) = 2*b**2 + 244*b + 655. Let t(o) = -10*x(o) + 52*y(o). Solve t(p) = 0.
-165, -2
Let f(p) be the second derivative of -p**7/630 - 4*p**6/45 - p**4/12 - 69*p**3/2 - 275*p. Let i(m) be the third derivative of f(m). Factor i(d).
-4*d*(d + 16)
Let j(t) be the first derivative of 55/2*t**2 + 30*t + 68 + 5/4*t**4 + 10*t**3. Factor j(q).
5*(q + 1)*(q + 2)*(q + 3)
What is v in -14 - 5*v + 6*v**2 + v**2 - 25*v + 39 - 2*v**2 = 0?
1, 5
Let z = -4243 - -4247. Let m(w) be the second derivative of 0*w**2 - 2*w**3 - 1/10*w**6 + 3/20*w**5 - w + 0 + w**z. Solve m(h) = 0.
-2, 0, 1, 2
Let u = 6155/6 + -1025. Let l(j) be the third derivative of 0*j**3 - u*j**4 + 0*j + 0 + 1/8*j**6 + 0*j**5 - 9*j**2 + 1/42*j**7. Suppose l(c) = 0. What is c?
-2, 0, 1
Suppose -4*g = -0 - 20. Suppose g*i - 15 = -15. Let i*a**3 - 20 - 3249*a - 5*a**3 + 3284*a - 10*a**2 = 0. What is a?
-4, 1
Let t(r) be the third derivative of -r**5/300 + 211*r**4/60 - 44521*r**3/30 + 1067*r**2. Factor t(i).
-(i - 211)**2/5
Let q(r) be the first derivative of -r**3/9 - 2*r**2/3 + 1085*r/3 - 7044. Find v, given that q(v) = 0.
-35, 31
Factor 549*x**2 - 1110*x**2 + 559*x**2 - 119 - 148*x - 27.
-2*(x + 1)*(x + 73)
Let j(l) = 10*l**2 + 30*l + 32. Suppose -5*r - 2*y + 31 = 0, -25 = -5*r + 4*y + 18. Let d(o) = 11*o**2 + 29*o + 32. Let i(x) = r*j(x) - 6*d(x). Factor i(p).
4*(p + 1)*(p + 8)
Let o(f) be the third derivative of f**7/210 - 11*f**6/6 + 107*f**5/30 + 91*f**4/2 + 219*f**3/2 + 1546*f**2. Find c such that o(c) = 0.
-1, 3, 219
Factor 2072*o - 28*o**3 + 10952/5 + 2/5*o**4 + 2154/5*o**2.
2*(o - 37)**2*(o + 2)**2/5
Let z(n) be the third derivative of -n**7/420 - n**6/60 + 13*n**3/3 - 11*n**2. Let j(w) be the first derivative of z(w). Determine s, given that j(s) = 0.
-3, 0
Let o(c) be the first derivative of -1579/4*c**4 - 33 - 938/5*c**5 - 27/2*c - 98/3*c**6 - 108*c**2 - 705/2*c**3. Determine g, given that o(g) = 0.
-3/2, -1/7
Let u = -3/67 - -88/469. Let b = 369 - 367. Solve 0 + 1/7*y**b + u*y = 0 for y.
-1, 0
Let s be (-63)/(-210) + (-148)/(-40). Find d such that 56/3*d**s + 40*d**2 - 38/3*d - 142/3*d**3 + 4/3 = 0.
1/4, 2/7, 1
Let f(z) = -15*z**3 + 23*z**2 - 13*z - 5. Let i(a) = -2*a**3 - a**2 + 1. Let u(m) = f(m) - 5*i(m). Let u(y) = 0. What is y?
-2/5, 1, 5
Let r(m) be the first derivative of 343*m**4/4 - 20825*m**3 + 3793125*m**2/2 - 76765625*m - 4692. Factor r(k).
(7*k - 425)**3
Let w be ((-1785)/510)/(308/(-16)). Factor -24/11 - 2/11*n + w*n**2.
2*(n - 4)*(n + 3)/11
Suppose -6*j**4 - 96*j - 100 + 0*j**4 + 57*j**2 + 47*j**2 + 96*j**3 + 6*j**4 - 4*j**4 = 0. Calculate j.
-1, 1, 25
Let a(o) = 2*o + 11. Let p be a(5). Factor -1 - 7 - 18 + 2 + 3*w**2 - p*w.
3*(w - 8)*(w + 1)
Let s = -31649/45 + 6481/9. Let 8*a**3 - 32*a + 4/5*a**4 - 80 + s*a**2 = 0. Calculate a.
-5, -2, 2
Let g(s) be the second derivative of s**4/48 - 3*s**3/4 - 26*s**2 + 3*s + 31. What is j in g(j) = 0?
-8, 26
Let t(m) = -10*m**3 - 125*m**2 + 190*m - 55. Let y(p) = 14*p**2 + 8 - 14*p - 2 + p**3 - 7*p. Let d(v) = 6*t(v) + 55*y(v). Factor d(j).
-5*j*(j - 3)*(j - 1)
Let h be (6/(-4))/(144/(-150720)). Let d = h - 1568. Solve -2/7*a**d + 40/7*a - 200/7 = 0.
10
Let y be (81/1)/3 + ((-880)/(-80) - (15 + -1)). Find q such that 2/3*q**5 - 46/3*q**2 - 26/3*q**4 + 94/3*q**3 + y - 32*q = 0.
-1, 1, 6
Factor 58590*s - 93*s**3 - 3/2*s**4 - 595350 + 897/2*s**2.
-3*(s - 14)**2*(s + 45)**2/2
Let j be 41/1 + (-6)/18*0. Solve -13*x**3 + 16*x - 3*x**4 - j*x**4 + 80*x**2 - 39*x**3 = 0 for x.
-2, -2/11, 0, 1
Let j(c) be the third derivative of c**7/630 - 133*c**6/360 + 2021*c**5/60 - 101695*c**4/72 + 159014*c**3/9 + 5*c**2 + 3*c. What is z in j(z) = 0?
4, 43
Let f(t) be the third derivative of t**5 + 37*t**4/8 + t**3 - 6*t**2. Let m(j) = 12*j**2 + 22*j + 1. Let k = -5 + 10. Let l(q) = k*f(q) - 24*m(q). Factor l(o).
3*(o + 2)*(4*o + 1)
Let r(a) be the third derivative of 0 + 275/3*a**4 + 1/336*a**8 - 1000/3*a**3 + 211/120*a**6 - 23/210*a**7 - 10*a**2 + 0*a - 193/12*a**5. Factor r(n).
(n - 5)**3*(n - 4)**2
Let j(k) be the second derivative of 0 - 7/18*k**4 - 4*k**2 - 16/9*k**3 - 1/30*k**5 - 131*k. Factor j(g).
-2*(g + 2)**2*(g + 3)/3
Suppose 7*r - 9 = 4*r. Let i = -368 - -374. Suppose 6*u + 6 - i*u**4 - 3 + 3*u**4 - 6*u**r = 0. What is u?
-1, 1
Let t(h) be the third derivative of 0*h + 0 + 1/2*h**4 + 0*h**3 + 1/30*h**5 + 187*h**2. Factor t(k).
2*k*(k + 6)
Let u(g) = 15*g**2 - 4*g - 1. Let r(o) = 57*o**2 - 211*o - 196. Let z(m) = -r(m) + 4*u(m). Solve z(f) = 0 for f.
-64, -1
Let g(n) be the third derivative of -n**5/60 + 67*n**4/3 - 178*n**3 + 328*n**2 + 12*n. Factor g(i).
-(i - 534)*(i - 2)
Factor -l**4 - 72*l + 48*l**2 - 3*l**4 - 35828757*l**3 + 35828765*l**3 - 108.
-4*(l - 3)**2*(l + 1)*(l + 3)
Determine l so that 16*l**2 + 90 - 15*l**2 + 13*l - 472 - 444 - 58*l = 0.
-14, 59
Let p(y) be the first derivative of -2*y**5/15 + 7*y**4/2 - 2464. Determine k, given that p(k) = 0.
0, 21
Let z(q) = 68*q**2 - 4716*q + 4616. Let s(n) = -13*n**2 + 943*n - 924. Let g(l) = -16*s(l) - 3*z(l). Determine t so that g(t) = 0.
1, 234
Suppose 312*n - 316*n + 12 = 0. Factor -6*y**n + 8*y**3 + 0*y**3 - 17*y - 42*y**2 + 28*y + 29*y.
2*y*(y - 20)*(y - 1)
Let l(b) = -63*b**4 - 1730*b**3 + 496*b**2 - 8*b + 8. Let g(r) = -42*r**4 - 1154*r**3 + 331*r**2 - 5*r + 5. Let o(s) = 8*g(s) - 5*l(s). Factor o(v).
-3*v**2*(v + 28)*(7*v - 2)
Let m(g) = 2*g + 30. Let v be m(-5). Factor 40*k**3 - v*k**4 - 12*k**4 - 36*k**3 - 9*k + 5*k + 32*k**2.
-4*k*(k - 1)*(k + 1)*(8*k - 1)
Let n(c) be the first derivative of -c**8/336 - c**7/56 + c**5/6 - 67*c**3/3 - 20. Let k(q) be the third derivative of n(q). Factor k(t).
-5*t*(t - 1)*(t + 2)**2
Let j(z) = 28*z - 561. Let y(s) = -27*s + 566. Let x(l) = -5*j(l) - 6*y(l). Let t be x(27). Determine f so that 2/11*f + 3/11*f**2 + 0 - 5/11*f**t = 0.
-2/5, 0, 1
Let b = 193 - 184. Factor -263 - 14*z**2 + b*z**2 + 283.
-5*(z - 2)*(z + 2)
Let i be (3 - 182/40) + 5/3. Let c(j) be the third derivative of i*j**5 + 0 - 1/24*j**6 - 1/12*j**4 + 0*j - 8*j**2 + 0*j**3. Factor c(r).
-r*(r - 1)*(5*r - 2)
Let l(j) be the first derivative of -1/38*j**4 - 4/19*j - 8/57*j**3 + 38 - 5/19*j**2. Factor l(g).
-2*(g + 1)**2*(g + 2)/19
Let k(t) be the first derivative of t**4/2 + 564*t**3 + 1689*t**2 + 1688*t + 6090. Let k(o) = 0. Calculate o.
-844, -1
Suppose -40*l + 453 = 133. Let v(k) = 3*k**3 + 27*k**2 - 124*k - 8. Let h(q) = 2*q**3 + 18*q**2 - 82*q - 5. Let y(n) = l*h(n) - 5*v(n). Factor y(p).
p*(p - 3)*(p + 12)
Suppose 4*j = b - 12, -29 = -5*b + 3*j - 3. What is x in -4*x**b + 643*x**3 - 1283*x**3 + 644*x**3 + 12*x + 20*x**2 = 0?
-1, 0, 3
Let i(s) be the second derivative of -s**5/190 - 871*s**4/114 - 189224*s**3/57 + 190096*s**2/19 + 46*s - 17. Factor i(u).
-2*(u - 1)*(u + 436)**2/19
Suppose -7/4 + 251/8*m + 265/8*m**2 = 0. What is m?
-1, 14/265
Let g(c) = 3*c**2 + 3*c + 19. Suppose 5*x = -0*z - z - 15, -4*x + z = 21. Let r(l) = -2*l**2 - 4*l - 20. Let b(k) = x*g(k) - 5*r(k). Solve b(f) = 0.
-2, 6
Suppose -43*x + 161 = -20*x. Factor 12 - q**2 + x*q**2 - 8*q**2 + 4*q - q**2 - q**3.
-(q - 2)*(q + 2)*(q + 3)
Let t = -76 - -82. Suppose 2*m = 0, 0 = 2*z + 3*m - 0 - t. Suppose -51*b**2 + 399*b + 61*b**2 - 125 - 165*b**2 + 15*b**z + 26*b = 0. Calculate b.
1/3, 5
Let v(x) be the second derivative of -x**4/36 + x**3/9 + 35*x**2/6 - 2287*x. Find c such that v(c) = 0.
-5, 7
Let z be (-12)/(-39) - 1232/(-728). Let r(c) be the third derivative of 1/30*c**6 + 8*c**2 - 1/6*c**4 - z*c**3 + 0*c + 0 + 1/5*c**5. Find h such that r(h) = 0.
-3, -1, 1
Let r(x) be the first derivative of x**4/9 - 4*x**3/3 + 16*x**2/3 + 61*x - 113. Let h(v) be the first derivative of r(v). Factor h(p).
4*(p - 4)*(p - 2)/3
Let v(n) be the third derivative of -n**8/336 + 97*n**7/630 + 167*n**6/60 + 72*n**5/5 + 164*n**4/9 + n**2 + 1983*n. Solve v(m) = 0.
-4, -2/3, 0, 41
Let b(l) be the second derivative of l**6/720 - l**5/120 + l**4/48 - l**3/36 + 36*l**2 - 14*l - 1. Let f(t) be the first derivative of b(t). Factor f(s).
(s - 1)**3/6
Factor -50*r**3 - 92*r**3 + 1590*r*