5 - 139*m**3 - 111*m**3 = 0.
-2, 0, 1, 3
Let f(z) be the third derivative of 6/7*z**7 + 1021/300*z**5 + 0 - 31/10*z**6 + 0*z + 113*z**2 + 1/30*z**3 - 31/60*z**4. Factor f(m).
(m - 1)**2*(30*m - 1)**2/5
Let i = 272/165 - -5/33. Let a be ((21/189)/(1/27))/((-5)/(-2)). Determine x, given that -3/5*x**3 + 0 - i*x**2 - a*x = 0.
-2, -1, 0
Let t be (-12)/(-15) + 0 + (-10)/(-50). Suppose -t = -9*n + 17. Factor -2/5*x**n + 0 + 0*x.
-2*x**2/5
Let l(j) be the second derivative of -j**6/45 + 9*j**5/20 + 7*j**4/12 - 14*j**3/3 + 12*j. Let f(p) be the second derivative of l(p). Factor f(z).
-2*(z - 7)*(4*z + 1)
Let x(t) = 3*t - 4*t + t + 8 + 2*t. Let y be x(11). What is a in y - 2*a - 2*a - 54 + 4*a**2 = 0?
-2, 3
Let f(s) = 80*s**3 - 379*s**2 + 420*s + 11. Let k(w) = -82*w**3 + 385*w**2 - 421*w - 12. Let n(o) = 6*f(o) + 5*k(o). Determine g so that n(g) = 0.
-1/70, 2, 3
Let k be -1 + 385/75 - (-12)/(-120)*-2. Solve -32/3*c - 1/3*c**3 + 20/3 + k*c**2 = 0.
1, 2, 10
Suppose -136 = 46*l - 63*l. Let b(y) = -y**2 - 4*y. Let x be b(-3). Factor -2*h**3 - l*h**2 + 5*h**3 - 2*h**x - 5*h**3.
-4*h**2*(h + 2)
Let g = -11438 + 11442. Let q(n) be the first derivative of 0*n + 26 + 1/3*n**3 - n**2 - 1/5*n**5 - 1/6*n**6 + 3/4*n**g. Factor q(a).
-a*(a - 1)**2*(a + 1)*(a + 2)
Let b(h) be the first derivative of -h**6/6 - 2*h**5 - 65*h**4/12 - 5*h**3 + 71*h + 21. Let v(i) be the first derivative of b(i). Factor v(s).
-5*s*(s + 1)**2*(s + 6)
Let b(y) be the second derivative of y**8/23520 + y**7/2940 + y**6/840 + y**5/420 + 77*y**4/12 - 9*y. Let x(n) be the third derivative of b(n). Factor x(j).
2*(j + 1)**3/7
Factor 23 + 3 + 13*z**2 - 26 - 4*z**2 - 3*z**3.
-3*z**2*(z - 3)
Let b(d) be the third derivative of 0*d**3 - 1/100*d**5 - d**2 - 13/20*d**4 + 64*d + 0. Factor b(l).
-3*l*(l + 26)/5
Suppose 1979 = -75*f + 2129. Factor 3 + 3/2*n**f + 9/2*n.
3*(n + 1)*(n + 2)/2
Let q = 7613 + -7608. What is b in 9/7*b**q + 12/7*b**2 + 2/7*b**4 + 0 + 4/7*b - 27/7*b**3 = 0?
-2, -2/9, 0, 1
Factor -119/3 + 1/3*t**2 - 10/3*t.
(t - 17)*(t + 7)/3
Let h(u) be the third derivative of 0*u**3 + 0 + 71*u**2 + 1/72*u**5 + 0*u**4 + 1/720*u**6 + 0*u. Solve h(q) = 0 for q.
-5, 0
Let k(g) = -10*g + 10. Let o be k(4). Let v be 5/(-30) + (-65)/o. Factor -12*b**v + 431*b + 1 - 419*b - 4.
-3*(2*b - 1)**2
Suppose -3*x + 4*j + 89 = 0, j = -3*x + 3*j + 97. Suppose -2*i = -x - 13. Factor -55*n**3 - 6*n - 2*n**5 - i*n**2 - 12*n**4 + 29*n**3 - 2*n.
-2*n*(n + 1)**2*(n + 2)**2
Let a(l) be the first derivative of l**2 + 7/15*l**5 + 17/9*l**3 + 17/12*l**4 + 54 + 0*l + 1/18*l**6. Suppose a(w) = 0. What is w?
-3, -2, -1, 0
Let 64 - 1/4*q**2 + 63/2*q = 0. What is q?
-2, 128
What is d in -21*d**4 + 146*d**4 - 130*d**3 + 60*d + 115*d**2 - 173*d**2 - 157*d**2 - 20*d**5 = 0?
-1, 0, 1/4, 3, 4
Suppose 347 - 767 = 15*a. Let c be (-91)/a - (-7 - -10). Solve -9 - c*l**2 - 3*l = 0 for l.
-6
Suppose 5 = -18*m + 113. Solve 613*w - m*w**2 - 1219*w + 615*w + w**3 = 0.
0, 3
Let t(m) = -m**4 + m**3 - m**2 + 2*m. Let f(o) = 4*o**4 - 8*o**3 + 28*o**2 - 16*o - 16. Suppose -10*s - 76 = 4. Let x(l) = s*t(l) - f(l). Solve x(w) = 0.
-2, -1, 1, 2
Let d = -264 + 344. Factor 32*g**2 - 44*g**5 + d*g**3 + 79*g**5 - 31*g**5 + 34*g**4.
2*g**2*(g + 4)**2*(2*g + 1)
Let q = 6241700/9 + -693508. Factor 2048/9 + q*u + 2/9*u**2.
2*(u + 32)**2/9
Suppose -5*l = -3*l - 2*b + 44, 0 = 2*l - 3*b + 46. Let u be 5*(12/l + 0) + 6. Factor 41*o**2 - o - 32*o**2 + 15*o**u - 5*o.
3*o*(o + 1)*(5*o - 2)
Let b(r) be the first derivative of r**6/33 + 218*r**5/55 + 965*r**4/11 + 27700*r**3/33 + 45125*r**2/11 + 111250*r/11 - 6285. Factor b(g).
2*(g + 5)**4*(g + 89)/11
Let i(o) be the third derivative of o**6/120 + 2*o**5/15 - 13*o**4/24 - 70*o**3/3 - 16*o**2 + o + 52. Factor i(p).
(p - 4)*(p + 5)*(p + 7)
Let o = 434 + -432. Suppose -41*h**2 - 18*h**o + 8*h**3 + 5*h**3 + 8 + 44*h + 9*h**2 = 0. What is h?
-2/13, 2
Let y(x) be the third derivative of 0 + 0*x**3 + 6*x**2 - 5/672*x**8 + 16/9*x**5 - 7*x - 13/18*x**6 - 5/3*x**4 + 8/63*x**7. What is w in y(w) = 0?
0, 2/3, 2, 6
Let j be (-8)/(-1) - -3 - 8. Factor -z**j + 6505*z**2 - 6429*z**2 + 72 - 146*z - z**3.
-2*(z - 36)*(z - 1)**2
Let z(k) = -4*k**2 + k - 4. Let u(q) = -q**2 - 1. Let l(o) = -5*u(o) + z(o). Let j be l(1). Factor 4*s - j*s**3 + 5*s**2 - 4*s + s**2 - 3*s.
-3*s*(s - 1)**2
Let g(z) be the first derivative of -6*z**5/85 - z**4/2 + 6*z**3/17 + z**2 - 12*z/17 - 840. Find l, given that g(l) = 0.
-6, -1, 1/3, 1
Let n be 2/(-17) + 44/663. Let y = n - -121/78. What is k in -y + 3/4*k**2 + 3/4*k = 0?
-2, 1
Factor 3*r**2 - 9 - 21*r - 36 - 15 - 10 - 20.
3*(r - 10)*(r + 3)
Let z = -1111 + 1115. Let q(i) be the second derivative of 0 - 1/5*i**2 - 1/60*i**z + 1/10*i**3 + i. Suppose q(s) = 0. What is s?
1, 2
Let w(y) be the first derivative of -y**7/840 + 7*y**6/360 - 7*y**5/120 - 5*y**4/8 + 7*y**3/3 + 6*y - 59. Let u(t) be the third derivative of w(t). Factor u(o).
-(o - 5)*(o - 3)*(o + 1)
Suppose 282 = -u + 285. Let a(f) be the first derivative of 2*f**2 - 16/3*f**u + 6*f**4 - 16/5*f**5 + 2/3*f**6 + 0*f + 9. Factor a(h).
4*h*(h - 1)**4
Factor -61156/5*a - 36/5*a**2 + 13592/5.
-4*(a + 1699)*(9*a - 2)/5
Suppose -f - 5*l = -44 - 8, 7 = l. Let m(p) be the first derivative of -5/16*p**4 + 0*p + f + 3/8*p**6 + 1/12*p**3 + 0*p**2 + 3/20*p**5. Factor m(r).
r**2*(r + 1)*(3*r - 1)**2/4
Let i(w) be the second derivative of 31*w**5/16 - 185*w**4/48 + 5*w**3/4 + w + 801. Factor i(z).
5*z*(z - 1)*(31*z - 6)/4
Let d(l) be the third derivative of 33*l**5/40 + l**4/16 + 999*l**2. Solve d(j) = 0 for j.
-1/33, 0
Let g = -2199 - -2201. Let t(m) be the first derivative of 1/9*m**3 - 11 + 2*m - 5/6*m**g. Let t(f) = 0. What is f?
2, 3
Let r be ((-7)/(-35)*5)/(-1). Let j(m) = -4*m**3 - 32*m**2 - 20*m + 32. Let g(b) = -b**2 - b. Let q(f) = r*j(f) + 12*g(f). Suppose q(w) = 0. Calculate w.
-4, -2, 1
Let s(t) be the first derivative of -t**6/27 + 88*t**5/15 + 67*t**4/3 + 808*t**3/27 + 15*t**2 - 1635. Solve s(b) = 0.
-1, 0, 135
Suppose -5*l = -48 - 72. Suppose -2*m**3 - 193*m - 2*m**2 + 169*m - l*m**2 = 0. Calculate m.
-12, -1, 0
Suppose -h + 93 = -3*g, -5*h + 545 = 27*g - 26*g. Let j be 348/h + 10/(-45). What is u in 6 + 27/2*u**2 + 33/2*u - 3/2*u**4 + 3/2*u**j = 0?
-1, 4
Let y = -328 + 333. Let x(i) = 3*i**4 - 13*i**3 + 5*i**2 - i + 3. Let f(t) = 2*t**3 - 1. Let l(r) = y*x(r) + 15*f(r). Factor l(d).
5*d*(d - 1)**2*(3*d - 1)
Let y(s) be the second derivative of s**4/36 + 68*s**3/9 + 2312*s**2/3 + 9*s - 38. What is i in y(i) = 0?
-68
Let d(b) be the first derivative of 9/2*b**6 - 75/4*b**4 + 12*b - 33/5*b**5 - 42*b**2 + 51*b**3 + 58. Suppose d(a) = 0. Calculate a.
-2, 2/9, 1
Let q(j) be the first derivative of -62 + 1/34*j**4 - 4/17*j**2 - 10/51*j**3 + 40/17*j. Suppose q(m) = 0. Calculate m.
-2, 2, 5
Let w be (-16)/6*-3*(-2)/(-8). Let l be w*-2 + 1044/145. Suppose -5*k**2 - 19/5*k**3 - 4/5 - 7/5*k**4 - 1/5*k**5 - l*k = 0. What is k?
-2, -1
Factor 0 - 150*m**2 - 470/7*m**3 - 62/7*m**4 + 0*m - 2/7*m**5.
-2*m**2*(m + 5)**2*(m + 21)/7
Factor -45*j**2 + 38*j**2 + 17*j**2 - 225*j - 3*j**3 + 81*j**2 - 319*j**2.
-3*j*(j + 1)*(j + 75)
Suppose 2*y + 10 = 4*v, 5*v - 2*y = -6*y + 19. Let j(r) be the third derivative of 1/8*r**6 + 0*r**v - 3/20*r**5 + 0 + 0*r - 1/4*r**4 - 4*r**2. Factor j(q).
3*q*(q - 1)*(5*q + 2)
Let n(y) be the first derivative of -y**5/5 + 171*y**4/2 - 9515*y**3 - 59858*y**2 - 2140. Solve n(g) = 0.
-4, 0, 173
Let j(y) = y**2 + 3*y + 4. Let d be j(0). Factor -d*q**4 + 30*q - 21*q + 12*q**2 - 17*q.
-4*q*(q - 1)**2*(q + 2)
Factor -2/3*o**3 + 32/3*o**2 - 104/3*o + 32.
-2*(o - 12)*(o - 2)**2/3
Let c(h) be the first derivative of -171 - 7/20*h**5 + 0*h + 1/6*h**3 + 5/16*h**4 + 0*h**2. Factor c(w).
-w**2*(w - 1)*(7*w + 2)/4
Let t(m) = m + 50. Let n be t(-14). Let 6*s**2 - 3*s**4 - 26*s**3 - 12 - 15 + n*s + 14*s**3 = 0. Calculate s.
-3, 1
Let i(n) = 40*n**2 - 35*n + 9. Let t(h) = -72*h**2 + 68*h - 18. Let b(d) = 7*i(d) + 4*t(d). Factor b(j).
-(j - 3)*(8*j - 3)
Let n be 1/3*-5*24/(-20). Suppose -4*i + 345 - 137 = 0. Find m, given that -15*m**2 - 32*m**4 - i*m**3 + 2*m**4 - 4*m - 11*m**n = 0.
-1, -2/5, -1/3, 0
Factor -2/3*p**2 + 22/3*p + 120.
-2*(p - 20)*(p + 9)/3
Let d(z) be the third derivative of -z**5/40 - 23*z**4/8 - 429*z**3/4 + 66*z**2 - 2*z - 15. Suppos