*4 - 2/11*w + 0 - 6/11*w**d + 6/11*w**2.
2*w*(w - 1)**3/11
Let g(j) be the second derivative of -1/3*j**4 - 8/3*j**3 + 0*j**2 + 0 + 17*j. Factor g(q).
-4*q*(q + 4)
Let z(d) be the first derivative of -d**3/12 - d**2/4 + 506. Determine t, given that z(t) = 0.
-2, 0
Factor -22/3*x - 2*x**4 - 92/9*x**2 - 2 - 2/9*x**5 - 20/3*x**3.
-2*(x + 1)**3*(x + 3)**2/9
Let k(y) = -2*y**3 + y**2 - 4*y. Let u be k(2). Let v be u/(-75) + (-6)/(-15). Factor v*t**2 + 2/3*t + 0.
2*t*(t + 1)/3
Let c = -43 + 45. Find p, given that 28*p**3 + 36*p - 8*p**4 + 24*p**2 + 12*p**4 + 34*p**2 + 2*p**c = 0.
-3, -1, 0
Let j = 15173/10 + -1517. Let f(d) be the second derivative of 11*d - 13/12*d**4 + 2*d**3 + 0 - 2*d**2 - 1/30*d**6 + j*d**5. Factor f(l).
-(l - 2)**2*(l - 1)**2
Suppose -4*f + 4*n + 4 = -12, 0 = 5*f + n - 38. Suppose -4*w + f = -3*w - b, 11 = w - 2*b. Find t such that -15/8*t**2 + 27/8 - 3/8*t**w - 9/8*t = 0.
-3, 1
Let q(p) = 2*p**5 - 4*p**4 - 12*p**3 + 10*p**2 - 14*p - 12. Let y(h) = h**3 + h**2 + h + 2. Let a(w) = -q(w) - 6*y(w). Determine f so that a(f) = 0.
-2, 0, 1, 2
Let m(l) be the first derivative of 3*l**5/5 - 102*l**4 + 4624*l**3 + 289. Factor m(g).
3*g**2*(g - 68)**2
Let o(v) be the third derivative of 1/168*v**4 - 1/420*v**5 - 20 + 0*v - v**2 + 0*v**3. Let o(y) = 0. What is y?
0, 1
Let d be -1 + (-1 - -1) + (-27)/(-27). Factor w**4 + 8*w**3 + d*w**2 + 2*w**4 - w**2 + 2*w + 8*w**2.
w*(w + 1)**2*(3*w + 2)
Solve 34/5*z + 10*z**2 + 4/5 - 88/5*z**3 = 0.
-1/4, -2/11, 1
Suppose 0 = 5*w + 3*d - 93, 4*d = -3*w + 22 + 36. Let s = w - 71/4. Find j, given that 1/4*j - 1/4 - s*j**4 + 1/4*j**5 - 1/2*j**3 + 1/2*j**2 = 0.
-1, 1
Factor 64/5*w**2 + 4/5*w**5 + 24/5*w**4 + 56/5*w**3 + 8/5 + 36/5*w.
4*(w + 1)**4*(w + 2)/5
Suppose -q - 4*q = -15. Let x = -29 - -13. Let f(h) = 10*h**3 - 16*h**2 + 6*h. Let g(j) = 2*j**3 - 3*j**2 + j. Let r(p) = q*f(p) + x*g(p). Factor r(s).
-2*s*(s - 1)*(s + 1)
Let l(q) be the third derivative of 0 - 1/300*q**5 - 1/60*q**4 + 0*q**3 + 0*q - 22*q**2. Let l(b) = 0. What is b?
-2, 0
Let m be (-874)/3 - 4/36*-3. Let y = m + 295. Factor 0 - 3/5*t**y - 6/5*t**2 - 9/5*t**3 + 0*t.
-3*t**2*(t + 1)*(t + 2)/5
Factor 3*c**3 - 1653*c + 3322*c - 1637*c - 7*c**3 + 8*c**2.
-4*c*(c - 4)*(c + 2)
Let h(i) be the second derivative of i**4/60 - 83*i**3/15 + 6889*i**2/10 + 45*i + 1. Factor h(m).
(m - 83)**2/5
Let j(g) = -155*g**2 - 17490*g + 4275. Let m(l) = -26*l**2 - 2915*l + 712. Let x(u) = -6*j(u) + 35*m(u). Solve x(v) = 0 for v.
-146, 1/4
Find t such that -30*t + 36 + 31*t**3 + 25*t**3 - 98*t**3 - 32*t**2 + 36*t**3 = 0.
-3, 2/3
Let c be 2/11 - 291/(-33). Let s be 6 + 125/(-20) - c/(-4). Factor 2/3 - 16/3*p - 4*p**3 + 26/3*p**s.
-2*(p - 1)**2*(6*p - 1)/3
Let q(d) be the first derivative of 9*d**2 + 5 - 9/10*d**5 + 9/2*d**3 + 6*d - 3/4*d**4. Determine z, given that q(z) = 0.
-1, -2/3, 2
Let w be -2 + ((-54)/28)/((-156)/182). Let -1/8*r**2 + 3/8 + w*r = 0. Calculate r.
-1, 3
Let a(s) = -276*s**2 - 4*s + 277*s**2 - 10*s - 31. Let z(k) = 6*k**2 - 99*k - 216. Let q(b) = -27*a(b) + 4*z(b). Factor q(l).
-3*(l + 3)**2
Let c be (4 - 15/2)*-2. Let m be (-32)/(-14) + (-2)/c. Solve 10*q**2 + 6*q - q + 2 - m + 5*q**3 = 0.
-1, 0
Let t(f) be the first derivative of 5*f**6/6 + 15*f**5 + 145*f**4/4 - 345*f**3 + 405*f**2 + 803. Factor t(p).
5*p*(p - 2)*(p - 1)*(p + 9)**2
Let j be 6/(-15) + (-119)/(-35). Let m(c) = -36*c**3 + 8*c**2 - 16*c. Let p(k) = 7*k**3 - 2*k**2 + 3*k. Let s(n) = j*m(n) + 16*p(n). Factor s(u).
4*u**2*(u - 2)
Let j(t) be the first derivative of -t**5/180 - t**4/24 - t**3/9 + 11*t**2 - 14. Let l(m) be the second derivative of j(m). Suppose l(n) = 0. What is n?
-2, -1
Suppose 9*c = 3*c - 439 + 457. Let b = -1 + 1. Suppose d + b*d**2 + 2/3 - 1/3*d**c = 0. Calculate d.
-1, 2
Let b(n) = n**4 + n**3 + n**2 - n. Let f(v) = 6*v**4 + 6*v**3 + 5*v**2 - 5*v. Let p(l) = -2*l + 11. Let g be p(8). Let y(w) = g*b(w) + f(w). Factor y(u).
u**3*(u + 1)
Factor 0*t + 3*t**3 - 3/4*t**4 + 0 - 3*t**2.
-3*t**2*(t - 2)**2/4
Suppose 16 = 2*t - 3*f, -5*t + 3*f - 2*f + 27 = 0. Factor 7*w**4 + 14*w**3 - 5*w**t - 74*w**3 + 43*w**4 - 65*w**3.
-5*w**3*(w - 5)**2
Let l(g) = 2*g + 9. Let i be l(-3). Factor -5*z - i*z**2 + 6*z + 11*z.
-3*z*(z - 4)
Let j(b) be the third derivative of -b**7/70 + 11*b**6/40 - 17*b**5/10 + 3*b**4 - 35*b**2 - b. Factor j(v).
-3*v*(v - 6)*(v - 4)*(v - 1)
Let w(v) be the second derivative of 1/35*v**5 - 6/35*v**6 + 0 + 2/7*v**4 + 16*v - 2/7*v**2 - 1/7*v**3 + 3/49*v**7. Suppose w(u) = 0. What is u?
-2/3, -1/3, 1
Let a be ((-9)/11 + 24/(-132))*0. Let q(v) be the second derivative of 0 - 1/2*v**3 + 1/20*v**6 - 3/8*v**4 + 4*v + 0*v**5 + a*v**2. Let q(p) = 0. Calculate p.
-1, 0, 2
Let c(l) = 1. Suppose 0 = -9*m + 4*m + 5. Let a(s) = 12*s**2 - 27*s - 3. Let k(b) = m*a(b) + 9*c(b). Factor k(h).
3*(h - 2)*(4*h - 1)
Factor 7 - 1/6*y**2 + 11/6*y.
-(y - 14)*(y + 3)/6
Let t(k) be the first derivative of -k**8/840 + k**7/540 + k**6/810 + 14*k**3/3 + 22. Let d(j) be the third derivative of t(j). Find i such that d(i) = 0.
-2/9, 0, 1
Suppose -5*x = 3*y + 15, -y = -x + 9 - 12. Factor y + 15/2*r - 5/2*r**2.
-5*r*(r - 3)/2
Solve -14/11*s**3 - 40/11*s + 56/11*s**2 + 0 - 2/11*s**4 = 0.
-10, 0, 1, 2
Let y = 13768/3 - 4589. Factor -1 + 4/3*q - y*q**2.
-(q - 3)*(q - 1)/3
Let u = 36 + -32. Determine b, given that 2*b**5 + 2*b**3 - 4*b**u - 414*b**2 + 414*b**2 = 0.
0, 1
Let f(w) = 9*w**2 + 28*w + 16. Let z(d) = 55*d**2 + 170*d + 95. Let o(i) = 25*f(i) - 4*z(i). Factor o(q).
5*(q + 2)**2
What is p in 77 - 28*p + 5*p**2 + 38 - 42*p - 50*p = 0?
1, 23
Let i(b) be the second derivative of 2*b**5/55 + 137*b**4/66 + 1190*b**3/33 + 289*b**2/11 - 177*b. Factor i(j).
2*(j + 17)**2*(4*j + 1)/11
Let a be (-9)/(27/6) - -7. Let r(g) = 3*g**2 + g. Let p(f) = -3*f**2 - 2*f. Let v(m) = a*p(m) + 4*r(m). Factor v(l).
-3*l*(l + 2)
Suppose -4*l = 4*f + 4, -3*l + 7*l = -4. Let p = 0 - 0. Factor -1/2*t**2 + f*t + p.
-t**2/2
Factor -445/2 + 5/4*v**2 + 435/4*v.
5*(v - 2)*(v + 89)/4
Let t(j) be the first derivative of j**6/165 + j**5/22 + 4*j**4/33 + 4*j**3/33 - 2*j + 8. Let r(p) be the first derivative of t(p). Find s such that r(s) = 0.
-2, -1, 0
Suppose -2*r - 10 = -4*r. Suppose 0 = 3*x + q - r - 5, -4 = -4*q. Factor -2*v**3 + v + x*v - 5*v**4 - 2*v + 5*v**2.
-v*(v - 1)*(v + 1)*(5*v + 2)
Let y be (8/8)/((-8)/(-16)). Factor 4/3*d**y - 4 - 8/3*d.
4*(d - 3)*(d + 1)/3
Factor 3/5*u**3 - 144/5 + 156/5*u - 48/5*u**2.
3*(u - 12)*(u - 2)**2/5
Let q(k) be the third derivative of 1/21*k**4 - 1/21*k**5 + 9*k**2 - 1/588*k**8 + 1/70*k**6 + 0*k + 2/735*k**7 + 0*k**3 + 0. What is z in q(z) = 0?
-2, 0, 1
Let c(o) be the first derivative of 0*o + 16 + 3/16*o**4 + 3/8*o**2 - 1/2*o**3. Factor c(r).
3*r*(r - 1)**2/4
Let a(u) be the first derivative of -23/24*u**4 - 5/24*u**6 - 5 - 1/8*u**2 + 3/4*u**5 + 1/2*u**3 + 12*u. Let l(h) be the first derivative of a(h). Factor l(s).
-(s - 1)**2*(5*s - 1)**2/4
Let i(o) = -o**4 - 8*o**2 + 3*o + 12. Let h(m) = m**4 + 2*m**3 + 8*m**2 - 4*m - 11. Let p(t) = 3*h(t) + 2*i(t). Factor p(s).
(s - 1)*(s + 1)*(s + 3)**2
Let s(d) = d**2 + 7*d - 3. Let o be s(-6). Let v = 11 + o. Determine l so that 2*l**4 - v*l**3 + 2*l**5 - 3*l**2 + 3*l**2 - 2*l**2 = 0.
-1, 0, 1
Factor -1/3*m**3 + 8/3*m + 0 - 7/3*m**2.
-m*(m - 1)*(m + 8)/3
Let x = -110 + 104. Let u be 0/(-2) + x/(-27). Factor 0*y + 0 + 2/9*y**2 - u*y**3.
-2*y**2*(y - 1)/9
Let q(p) be the second derivative of -3*p**5 + 13*p**4/3 + 4*p**3/3 - 144*p. Factor q(j).
-4*j*(j - 1)*(15*j + 2)
Let h(b) be the second derivative of -121*b**5/20 - 143*b**4/2 - 138*b**3 - 108*b**2 + 249*b. Factor h(j).
-(j + 6)*(11*j + 6)**2
Let p be 1 + (0 - -3) - -44. Suppose 4*n - 4 - p = 0. Find l such that 1 - 9*l**2 + n*l - 1 - 19*l = 0.
-2/3, 0
Suppose -29*j + 24 = -27*j. Suppose 4*f + 8 = x, x = -3*x - 4*f + j. Let -4*r + 7/2*r**x + 0 - 81*r**3 + 34*r**2 + 245/2*r**5 = 0. What is r?
-1, 0, 2/7, 2/5
Let z be (36/(-14) + 2)/((-36)/126). Factor -3/7*i**z + 6/7 - 3/7*i.
-3*(i - 1)*(i + 2)/7
Let c = 0 + 9. Suppose -4*g - v + c = 0, -4*v = 12 - 0. Determine r, given that -70*r**4 + r**g - 3*r**3 + 68*r**4 = 0.
-1, 0
Let w(d) = d**2 - 9*d + 9. Let c(v) = v**2 - 8*v + 8. Let z(i) = 6*c(i) - 5*w(i). Let k be z(4). Factor -2*x**2 + 5 - 3*x**2 - k*x**2 - 3*x + 9*x**3 + 1.
3*(x - 1)**2