)*(s - 1)**4/5
Suppose -2*b + 16 + 8 = 0. Let g be 16/(-12)*b/(-8). Suppose -g*c**2 + 0*c**2 + 12*c**3 - 13*c**3 = 0. Calculate c.
-2, 0
Let l(o) be the third derivative of 1/10*o**5 + 1/120*o**6 - 5*o**2 + 0 + 0*o + 4/3*o**3 + 1/2*o**4. Factor l(d).
(d + 2)**3
Let x = -1 + -13. Let d be (-2)/7 - 32/x. Suppose -d*h**4 - h**2 + 2*h**3 + h**2 = 0. Calculate h.
0, 1
Let n(m) be the first derivative of -m**8/448 + m**6/160 - 29*m**2/2 - 32. Let o(y) be the second derivative of n(y). Factor o(z).
-3*z**3*(z - 1)*(z + 1)/4
Let p(j) be the first derivative of 81*j**5/20 + 423*j**4/8 + 91*j**3/3 + 5*j**2 + 61. Factor p(b).
b*(b + 10)*(9*b + 2)**2/4
Let i = 156193/10 - 15619. Suppose i*q**3 + 0 + 1/10*q**4 - 2/5*q + 0*q**2 = 0. Calculate q.
-2, 0, 1
Let f(l) be the first derivative of l**5/60 + 5*l**4/144 - 9*l**2 - 4. Let a(h) be the second derivative of f(h). What is n in a(n) = 0?
-5/6, 0
Let d(w) be the first derivative of w**4/12 + 2*w**3/9 - w**2/6 - 2*w/3 + 19. Find p, given that d(p) = 0.
-2, -1, 1
Let g(o) = 13*o**4 + 10*o**3 - 2*o**2 - 20. Let z(t) = -4*t**4 - 3*t**3 + t**2 + 6. Let p(n) = -3*g(n) - 10*z(n). Suppose p(a) = 0. What is a?
-2, 0, 2
Factor 159*v**4 - 112*v - 176*v**2 + 268*v**3 - 55*v**4 - 84*v**4.
4*v*(v - 1)*(v + 14)*(5*v + 2)
Suppose 3*l = l - 2*w + 8, 0 = l - 4*w - 4. Suppose 0 = -l*t + 3*t. Solve -2/5*o**5 + 1/5*o**2 + 1/5*o - o**4 + t - 3/5*o**3 = 0.
-1, 0, 1/2
Let r be (3 + (-32)/12)/(7/105). Suppose -11*y + 17 = -r. Factor -2/5 - 2/15*b**y - 8/15*b.
-2*(b + 1)*(b + 3)/15
Let y(d) be the second derivative of -9*d + 13/30*d**5 + 5/63*d**7 + 1/9*d**4 + 0*d**2 + 16/45*d**6 + 0 + 0*d**3. Determine t, given that y(t) = 0.
-2, -1, -1/5, 0
Let n = 549 + -545. Let y(c) be the third derivative of 1/15*c**3 + 0 - 1/300*c**6 + 1/60*c**n + 0*c + c**2 - 1/150*c**5. Find z, given that y(z) = 0.
-1, 1
Suppose 0 = 11*i - 6*i. Suppose i = -2*p - c + 35, -2*p + p = -2*c - 15. Factor -2*s + p*s**2 - 14*s**2 + 4 - 6 + s.
(s - 1)*(3*s + 2)
Let f(a) be the first derivative of a**3/6 + 11*a**2 + 242*a - 8. Factor f(q).
(q + 22)**2/2
Factor 26/5*p**3 + 0 + 0*p + 4/5*p**2 + 12/5*p**4.
2*p**2*(p + 2)*(6*p + 1)/5
Let o(y) be the first derivative of 5*y**6/36 - 3*y**5/5 - 19*y**4/12 + 4*y**3/9 + 11*y**2/4 + 5*y/3 + 59. Suppose o(d) = 0. Calculate d.
-1, -2/5, 1, 5
Let x(w) be the first derivative of 16*w**2 - 1/3*w**3 - 3 - 256*w. Factor x(p).
-(p - 16)**2
Solve 10/9*l - 4/3*l**2 - 2/3*l**3 + 4/3 + 4/9*l**4 = 0 for l.
-1, 3/2, 2
Let t(v) be the second derivative of 0*v**5 + 1/75*v**6 - 1/105*v**7 + 0*v**4 + 0*v**2 - 4*v + 0 + 0*v**3. Factor t(w).
-2*w**4*(w - 1)/5
Let a(o) = 9*o**3 + 7*o**2 + 20*o - 11. Let x(s) = s - 1. Let r be x(-3). Let l(d) = 3*d**3 + 2*d**2 + 7*d - 4. Let n(j) = r*a(j) + 11*l(j). Factor n(w).
-3*w*(w + 1)**2
Let m(n) be the second derivative of n**5/30 + n**4/4 - 4*n**3/3 + 5*n**2/2 - 8*n. Let f(b) be the first derivative of m(b). Factor f(s).
2*(s - 1)*(s + 4)
Let t(j) = -3*j**3 + 3*j**2 - 12*j + 16. Let x(b) = -5*b**3 + 5*b**2 - 23*b + 31. Let v(i) = -7*t(i) + 4*x(i). Factor v(q).
(q - 2)**2*(q + 3)
Let t(y) be the first derivative of 1 + 1/3*y**3 + 3/4*y**2 - 3/8*y**4 - y. Let t(i) = 0. Calculate i.
-1, 2/3, 1
Let i(z) be the second derivative of 1/12*z**4 + 0 - 1/6*z**3 - 12*z + 0*z**2 - 1/80*z**5. Let i(b) = 0. What is b?
0, 2
Let j(w) be the third derivative of w**8/3360 - w**7/315 + w**6/120 + 5*w**4/8 + 14*w**2. Let g(d) be the second derivative of j(d). Factor g(p).
2*p*(p - 3)*(p - 1)
Let i(k) = k**3 + 17*k**2 - 52*k - 264. Let l be i(-19). Suppose -2 - 8/3*y - 2/3*y**l = 0. What is y?
-3, -1
Let p(j) = 2*j**2 - 4*j + 7. Let g(u) = u**2 - 2*u + 3. Let l(h) = 7*g(h) - 3*p(h). Factor l(d).
d*(d - 2)
Factor -23/2*z**2 + 4*z**3 - 1/2*z**4 - 6 + 14*z.
-(z - 3)*(z - 2)**2*(z - 1)/2
Factor -124/3*l - 190*l**3 + 152/3*l**4 - 7/2 - 959/6*l**2 + 32/3*l**5.
(l - 3)*(l + 7)*(4*l + 1)**3/6
Let v = -935 - -938. Let b(k) be the first derivative of -4/3*k**v - 8*k - 6*k**2 + 6. Solve b(g) = 0 for g.
-2, -1
Let t(v) be the first derivative of -2*v**5/5 - 3*v**4 - 75. Factor t(o).
-2*o**3*(o + 6)
Suppose r = 4*r + 4*v - 4, -3*r = 2*v - 2. Factor -2/13*o**3 - 2/13*o**4 + 2/13*o**2 + 0*o + r + 2/13*o**5.
2*o**2*(o - 1)**2*(o + 1)/13
Determine x, given that -11*x**2 - 30*x + 36 + 11/2*x**3 - 1/2*x**4 = 0.
-2, 1, 6
Find c such that -15/2 + 5/4*c**2 + 25/4*c = 0.
-6, 1
Let c(l) be the third derivative of l**5/12 - 5*l**4/24 - 5*l**3/3 + 67*l**2. Factor c(d).
5*(d - 2)*(d + 1)
Determine g, given that -40*g**3 + 32*g**2 + 48*g**2 + 38*g**3 - 2*g**4 + 224*g = 0.
-4, 0, 7
Let z(x) = 40*x**3 + 30*x**2 - 5*x + 5. Let l(g) = 20*g**3 + 15*g**2 - 3*g + 2. Let f = 36 - 38. Let q(w) = f*z(w) + 5*l(w). Factor q(p).
5*p*(p + 1)*(4*p - 1)
Factor 240*a**2 - 5/3*a**5 + 0 - 230/3*a**3 - 80/3*a**4 - 135*a.
-5*a*(a - 1)**2*(a + 9)**2/3
Suppose -57 = 4*a - 3*a - 20*a. Factor -2/3*p**2 - 2/3*p**a + 4/3*p + 0.
-2*p*(p - 1)*(p + 2)/3
Let x(a) = 13*a - 60. Let o be x(5). Let i(d) be the third derivative of 1/2*d**3 - 1/60*d**o - 1/12*d**4 + 0*d + 0 - 6*d**2. Factor i(v).
-(v - 1)*(v + 3)
Let q be (30/450)/(3/75). Factor -40*c**2 - 40/3*c**4 - 15*c - q*c**5 - 110/3*c**3 + 0.
-5*c*(c + 1)**2*(c + 3)**2/3
Let h = 4294543/204 + -21051. Let c = h + -1/68. Factor c*w**2 - 2/3*w - 4/3.
2*(w - 2)*(w + 1)/3
Let r(o) be the second derivative of o**7/14 - 3*o**6/10 - 3*o**5/4 + 3*o**4/4 + 2*o**3 + 69*o. Let r(n) = 0. What is n?
-1, 0, 1, 4
Let j = 281 - 279. Let z(f) be the second derivative of -6*f - 2/3*f**3 + 0 + 0*f**j - 1/3*f**4. Factor z(x).
-4*x*(x + 1)
Let j = 872/2205 + 2/441. Suppose -2*k + 3*k + k = 0. Let 0*c + k*c**3 + j*c**2 - 1/5*c**4 - 1/5 = 0. Calculate c.
-1, 1
Let j = 363 + -360. Let p(w) = w + 12. Let x be p(-8). Solve 1/2*o**x + o - 5/2*o**2 + 3/2*o**j - 1/2*o**5 + 0 = 0 for o.
-2, 0, 1
Let o be 24/54 + 492/108. Let a(d) be the second derivative of -1/6*d**3 + 0 + 0*d**2 + 1/10*d**o - d + 0*d**4 - 1/42*d**7 + 0*d**6. Let a(r) = 0. What is r?
-1, 0, 1
Let y(j) be the first derivative of -j**8/2184 + j**6/780 + 5*j**2 + 14. Let g(k) be the second derivative of y(k). Factor g(f).
-2*f**3*(f - 1)*(f + 1)/13
Let a(r) be the second derivative of r**8/336 - 5*r**7/168 + 7*r**6/72 - r**5/8 + 25*r**3/6 + 27*r. Let p(x) be the second derivative of a(x). Factor p(t).
5*t*(t - 3)*(t - 1)**2
Suppose -6*k - 1581 = -1593. Suppose -15/4*g**3 - 5/4*g**4 + 0*g + 0 - 5/2*g**k = 0. Calculate g.
-2, -1, 0
Solve 338 - 885*x**2 - 2838 - 7*x**4 + 2*x**4 + 110*x**3 + 3080*x - 1420 = 0.
4, 7
Let l(q) be the second derivative of -q**7/2100 - 17*q**6/1800 - q**5/30 - 2*q**4/3 + 10*q. Let n(p) be the third derivative of l(p). Factor n(t).
-2*(t + 5)*(3*t + 2)/5
Let r(m) be the third derivative of m**5/12 - 35*m**4/24 + 25*m**3/3 - 58*m**2 + 2. Let r(f) = 0. Calculate f.
2, 5
Let b be (-5)/(-3)*12/10. Factor 2*a**3 + 20*a**b + 26*a**3 + 85*a - 93*a.
4*a*(a + 1)*(7*a - 2)
Let z = -31 + 35. Let a(g) be the third derivative of -1/8*g**z + 0 + 4*g**2 - 1/40*g**5 + 0*g + 3/4*g**3. Factor a(f).
-3*(f - 1)*(f + 3)/2
Let f be -1 + (4 - (2 + -3)) + 29. Factor 5 - 3*q**3 + 45*q - 3*q**4 + 12*q**2 - 5 - f*q.
-3*q*(q - 2)*(q + 1)*(q + 2)
Suppose 35*u + 363 = 503. What is g in 0 - 2/9*g**5 - 2/9*g**u + 0*g + 2/9*g**3 + 2/9*g**2 = 0?
-1, 0, 1
Let b be 0 + -1 - 1 - 341/(-11). Factor 12 + 3*l**2 + b - 36*l + 67.
3*(l - 6)**2
Suppose 15*g - 101 = 94. Determine r, given that 6*r**2 + 31*r**3 + 9*r**3 - 154*r**4 + 175*r**4 - g*r**3 = 0.
-1, -2/7, 0
Factor 32/11 - 2/11*s**2 + 30/11*s.
-2*(s - 16)*(s + 1)/11
Suppose 0*i + 0*i**2 - 4/11*i**3 + 2/11*i**4 + 0 + 2/11*i**5 = 0. What is i?
-2, 0, 1
Let x(d) = d**2 - d - 1. Suppose 2*o = -8*o - 150. Let l(h) = -5*h**3 - 15*h**2 + 30*h + 25. Let z(s) = o*x(s) - l(s). Let z(c) = 0. Calculate c.
-1, 2
Suppose -325*s = -336*s + 22. Let y(j) be the second derivative of 0 - 1/36*j**4 - 5*j - 8/3*j**s + 4/9*j**3. Determine n, given that y(n) = 0.
4
Let l(g) = 10*g**2 - 17*g - 27. Let q(k) = -9*k**2 + 18*k + 27. Let c(t) = 3*l(t) + 2*q(t). Solve c(z) = 0.
-1, 9/4
Factor -8/11 + 6/11*t + 2/11*t**2.
2*(t - 1)*(t + 4)/11
Suppose 2*x - 6*i + i - 10 = 0, -5*x + i + 48 = 0. Let -171*q**3 + 352*q**3 + x*q**5 + 15*q**4 - 176*q**3 = 0. Calculate q.
-1, -1/2, 0
Factor -230*