 - 3)*(g + 1)**2
Let i(j) be the first derivative of 2*j**3 + 0*j**2 + 3/4*j**4 + 0*j + 23. Factor i(r).
3*r**2*(r + 2)
Solve 94*s**3 + 32*s + 46*s**3 + 48*s - 2*s**5 + 45*s**4 + 7*s**5 + 26*s**2 + 154*s**2 = 0 for s.
-4, -2, -1, 0
Let c(z) = 2*z - 12. Let n(q) = 3*q - 23. Let x(r) = -5*c(r) + 3*n(r). Let y be x(-10). Factor 6*f**3 + 0*f**2 - 6*f - 3 + f**2 - y + 2*f**4 + f**2.
2*(f - 1)*(f + 1)**2*(f + 2)
Factor -13 - 3*j**3 - j**3 - 28*j**2 - 13 - 53*j + 3*j**3.
-(j + 1)**2*(j + 26)
Let g(y) be the second derivative of y**6/90 + 6*y**5/5 + 611*y**4/18 - 148*y**3 + 1369*y**2/6 + y - 190. Factor g(s).
(s - 1)**2*(s + 37)**2/3
Determine a, given that -346*a**4 - 4494*a**2 + 2*a**5 + 3950*a**3 + 299*a + 2*a**5 + 4*a**5 + 583*a = 0.
0, 1/4, 1, 21
Let n(p) be the first derivative of -5*p + 0*p**2 + 1/60*p**5 + 0*p**3 + 0*p**4 + 1. Let o(l) be the first derivative of n(l). Determine c, given that o(c) = 0.
0
Let k(q) = 2*q. Let c(g) = -8*g - 56. Let h be c(-7). Let a be k(h). What is l in 2/5*l**2 + 2/5*l**3 + 0*l + a = 0?
-1, 0
Suppose 0 = -16*d + 31 + 1. Let -2*r**3 + 19 + 6*r**3 - 3 - 12*r**d = 0. Calculate r.
-1, 2
Let l(b) be the second derivative of -b**7/2520 - b**6/1080 + b**5/360 + b**4/72 + 13*b**3/6 - 11*b. Let s(h) be the second derivative of l(h). Factor s(y).
-(y - 1)*(y + 1)**2/3
Let c(n) be the first derivative of 4 + 7/6*n**3 + 1/12*n**6 - 3/10*n**5 + 0*n**2 - 1/8*n**4 - 2*n. Let c(o) = 0. What is o?
-1, 1, 2
Factor 17*c**2 - 9/4*c**4 + 6*c + 0 + 21/2*c**3.
-c*(c - 6)*(3*c + 2)**2/4
Suppose 0 = 5*j - 20, 0*j = 2*s - 4*j + 12. Suppose 5 - 1 = s*w. Determine y, given that -22*y - y**2 - 17 - 10*y + 9 - 13*y**w = 0.
-2, -2/7
Let d(b) = b**3 - 6*b**2 - 7*b - 10. Let p be d(7). Let w be (-2)/(-5) - 16/p. Factor 0*m**2 - 3*m**w - 2 + 5.
-3*(m - 1)*(m + 1)
Suppose 0 = 2*u + 4*u - 480. Let m be (-5)/40 + 74/u. Factor -m - 2/5*z + 2/5*z**2.
2*(z - 2)*(z + 1)/5
Suppose -93 = -4*a + 11*a - 219. Solve 111/4*c**2 + 3*c**4 - 63/4*c + 3 - a*c**3 = 0 for c.
1/2, 1, 4
Let v(i) = 2*i + 25. Let s = -11 + 0. Let c be v(s). Solve 28*d**5 + 64*d**4 + 0*d**2 + 39*d**c + 8*d**2 + 6*d**3 - d**3 = 0.
-1, -2/7, 0
Factor 2/9*r**3 - 8/9*r**2 - 58/9*r - 16/3.
2*(r - 8)*(r + 1)*(r + 3)/9
Suppose -3*v + 9 - 23 = -4*j, 4*v - 3*j + 7 = 0. Let g(x) be the first derivative of -2/7*x + 0*x**2 + v + 2/21*x**3. Determine i so that g(i) = 0.
-1, 1
Let f = 801/2 + -396. Let l(h) be the first derivative of 6*h + h**3 - f*h**2 - 4. Let l(v) = 0. Calculate v.
1, 2
Let u(l) be the first derivative of -14*l**3/3 + 10*l**2 - 6*l - 171. Solve u(n) = 0 for n.
3/7, 1
Suppose -306*c = -311*c + 15. Let u(m) be the first derivative of 0*m + 1/4*m**4 - 4 - 2/9*m**c - 1/6*m**2. Factor u(o).
o*(o - 1)*(3*o + 1)/3
Let z be (-2 + 6)/(112/32). Factor -4*j**2 + 8/7*j + z*j**3 + 12/7.
4*(j - 3)*(j - 1)*(2*j + 1)/7
Let s(n) be the third derivative of -n**5/15 - 11*n**4/2 + 68*n**3/3 + 475*n**2. Factor s(k).
-4*(k - 1)*(k + 34)
Let d = -19807 - -138653/7. Solve -16/7*q**3 + 0 + 0*q + d*q**2 = 0.
0, 1/4
Let j = 428 + -425. Let u be 155/4 + (-1)/(-4). What is c in -17*c**4 - j*c - 1 + 5 + 2*c**4 - 27*c**2 + 2 + u*c**3 = 0?
-2/5, 1
Let m(l) be the third derivative of l**8/4032 - l**7/336 - 41*l**5/60 + 40*l**2. Let o(c) be the third derivative of m(c). Factor o(y).
5*y*(y - 3)
Let z(i) = -80*i**2 + 350*i - 105. Let k(d) = 3*d**2 - 13*d + 4. Let t(p) = 55*k(p) + 2*z(p). Factor t(a).
5*(a - 2)*(a - 1)
Let k(n) be the first derivative of -n**6/15 - 6*n**5/25 + 11*n**4/5 - 76*n**3/15 + 27*n**2/5 - 14*n/5 + 38. Factor k(p).
-2*(p - 1)**4*(p + 7)/5
Let p be (4 - 56/16)*4. Determine z so that 7/2*z - 1/2*z**3 - p - z**2 = 0.
-4, 1
Factor 3/2*s**2 + 45/2 - 12*s.
3*(s - 5)*(s - 3)/2
Let z be 455/975 - 1/(-5). Let i = -2 + 4. Factor 0*c - 8/3*c**3 + 0 - 2*c**i - z*c**4.
-2*c**2*(c + 1)*(c + 3)/3
Let l(w) be the third derivative of 0*w**3 - 2/175*w**7 + 5*w**2 + 0*w + 0 - 21/50*w**5 - 9/40*w**4 - 1/8*w**6. What is h in l(h) = 0?
-3, -1/4, 0
Solve -4*a**3 + 117*a**2 - 6912*a + 171*a**2 + 41762 + 13534 = 0.
24
Let o be (-4)/(1200/(-301)) - (-29 + 30). Let b(p) be the third derivative of -4/15*p**3 + 1/150*p**5 + 0*p + 0 + o*p**6 - 1/15*p**4 + 5*p**2. Factor b(v).
2*(v - 2)*(v + 1)*(v + 2)/5
Let r(p) = p**2 + 95*p + 97. Let x be r(-94). Factor 1/4*o**4 - o**x + 0 + 0*o + o**2.
o**2*(o - 2)**2/4
Let d be (128 - -52)*((-4)/(-50))/1. Factor -2/5*n**2 + 24/5*n - d.
-2*(n - 6)**2/5
Let t(d) be the third derivative of d**8/1176 - d**6/84 + d**4/21 - 5*d**2 - 3. Find i, given that t(i) = 0.
-2, -1, 0, 1, 2
Let i = 20 - 15. Suppose -14 - 11 = -i*a. Factor -o**4 + 3*o**4 - o**a - o**5 + 0*o**4.
-2*o**4*(o - 1)
Let r(w) be the second derivative of w**4/3 + 74*w**3/9 - 52*w**2/3 + 4*w + 3. Determine k, given that r(k) = 0.
-13, 2/3
Let q(b) = -b**2 - 8*b - 11. Let n be q(-5). Factor 43*w**n + 4*w**3 - 2*w - 2*w + 57*w**4 + 12*w**2 - 112*w**4.
-4*w*(w - 1)*(w + 1)*(3*w - 1)
Suppose -5*s = -2*a + 33, -2*s + 5*s = 3*a - 36. Let w(x) = -2*x + 21. Let o be w(a). Factor -126/5*v**2 + 12*v - 8/5 + 49/5*v**o.
(v - 2)*(7*v - 2)**2/5
Let v be ((-5)/(-2))/(1859/1352). Suppose -6/11*n**3 - 2/11*n**4 + 0 + v*n**2 + 0*n = 0. Calculate n.
-5, 0, 2
Let u(i) be the first derivative of -1/12*i**4 + 1/18*i**6 + 0*i - 1/9*i**3 + 1/15*i**5 - 6 + 0*i**2. Factor u(o).
o**2*(o - 1)*(o + 1)**2/3
Let w = -39 + 42. Determine k so that 1 + 18*k**2 - 3*k + w + 15*k - 2 = 0.
-1/3
Let -195/4*c + 3/8*c**2 + 12675/8 = 0. What is c?
65
Determine v so that 20*v**2 + 19*v - 19*v**3 - 1/2*v**4 - 39/2 = 0.
-39, -1, 1
Let b(h) be the second derivative of h**7/1470 - h**6/420 + h**4/84 - h**3/42 + 6*h**2 - 8*h. Let s(p) be the first derivative of b(p). Factor s(t).
(t - 1)**3*(t + 1)/7
Suppose 45 = 4*r - 5*m, -m - 15 = -r - r. Solve r*v - v**4 + v**2 - 4*v - v = 0.
-1, 0, 1
Let d(u) be the first derivative of -3*u**5/4 + 3*u**4/4 + u**3 - u - 8. Let g(v) be the first derivative of d(v). Solve g(i) = 0.
-2/5, 0, 1
Solve -206*k**4 + 3*k**5 + 99*k**4 + 71*k**4 - 84*k**3 = 0.
-2, 0, 14
Suppose -4*n - 2 = -2*w, -3*w + 3 = -4*n - 0*n. Factor -1 + w - 3*k + 4*k**3 + 2 - 3*k**3.
(k - 1)**2*(k + 2)
Let o(q) = 2*q - 22. Let u be o(12). Suppose 5*z + 2*v = 0, -4*z + 18 = -0*v - u*v. Factor -4*c**2 - 3 - 3*c**2 - 3*c**3 + 3*c + 7*c**z + 3*c**2.
-3*(c - 1)**2*(c + 1)
Let m(l) be the second derivative of 1/50*l**5 - 4/15*l**3 + 0 + 12*l + 8/5*l**2 - 1/15*l**4. Solve m(g) = 0 for g.
-2, 2
Let b(j) be the second derivative of j**6/50 - 51*j**5/100 + 39*j**4/10 - 16*j**3/5 - 192*j**2/5 + j - 167. Factor b(y).
3*(y - 8)**2*(y - 2)*(y + 1)/5
Let l(n) be the third derivative of -n**7/420 - n**6/120 + 11*n**5/24 + 25*n**4/6 + 12*n**2 + 13*n. Factor l(v).
-v*(v - 8)*(v + 5)**2/2
Suppose -4*u = -4*v - 0 - 16, 5*u - 2*v = 14. Factor 8*m**2 + 0*m**2 - 4*m**u + 5*m - m.
4*m*(m + 1)
Let u be (-18)/27*(-27)/45. Let -2/5*g**5 - 4/5*g**3 + u + 4/5*g**2 - 6/5*g**4 + 6/5*g = 0. What is g?
-1, 1
Let w(d) be the first derivative of -4*d**5 - 115*d**4 - 955*d**3 - 1265*d**2 - 605*d - 81. Find s, given that w(s) = 0.
-11, -1/2
Let k be (-2 + 0 - (-15 - -1)) + -2. Factor -k + 10*f + 10*f**2 - 5*f**3 - 5*f + 0*f.
-5*(f - 2)*(f - 1)*(f + 1)
Factor 0*p + 2/7*p**4 + 10/7*p**3 + 0 - 4*p**2.
2*p**2*(p - 2)*(p + 7)/7
Factor -7*m**2 + 56*m - 10*m**2 + 0*m**3 + 2*m**3 + 10*m**2 - 15*m**2.
2*m*(m - 7)*(m - 4)
Factor -6 + 3/2*j**3 + 3/2*j**2 - 6*j.
3*(j - 2)*(j + 1)*(j + 2)/2
Factor 0*q**2 + 8*q**2 - 16*q**2 + q**2 + 20*q + 2*q**2 + 160.
-5*(q - 8)*(q + 4)
Let c(j) = -2*j**2 + 8*j. Let k(r) = 13*r**2 - 28*r. Let v(d) = -d**2 - d. Let l(m) = -k(m) - 5*v(m). Let z(s) = -18*c(s) + 4*l(s). Factor z(y).
4*y*(y - 3)
Let x be -69*((-40)/36)/2. Let b = x - 38. Let -4/3*m - 4/3 - b*m**2 = 0. Calculate m.
-2
Let b(s) be the third derivative of s**9/37800 - s**8/8400 + 3*s**4/8 - 5*s**2. Let c(f) be the second derivative of b(f). Determine y, given that c(y) = 0.
0, 2
Let j(l) be the third derivative of -7*l**5/30 + 25*l**4/12 + 50*l**3/3 + 616*l**2. Factor j(g).
-2*(g - 5)*(7*g + 10)
Let f(x) = -14*x**2 - 22*x + 28. Let s(r) = 9*r**2 + 15*r - 19. Let b = 29 - 37. Let y(o) = b*s(o) - 5*f(o). Factor y(c).
-2*(c - 1)*(c + 6)
Let r(b) = -b**3 + 5*b**2 - 6*b - 7. Let u be r(5). Let g = 39 + u. Let 2/5*w**g + 0 + 0*w 