) = 5*n(w) + 24*s(w). Factor q(x).
3*(x - 1)**2*(x + 2)*(x + 4)
Let x be ((-6)/(-5))/((-14)/(-35)). Suppose -x*d + 12 = d. Factor v**d - 2*v**3 - 3*v**2 - v + 7*v - 2*v**3.
-3*v*(v - 1)*(v + 2)
Factor 34/3*x - 12 + 2/3*x**2.
2*(x - 1)*(x + 18)/3
Let w(d) be the second derivative of d**5/30 - d**4/3 + 129*d. Factor w(a).
2*a**2*(a - 6)/3
Let q(j) = -j**3 - 6*j**2 - 6*j + 4. Suppose 3*l + 5*z = -16 - 24, 0 = -l + 3*z + 10. Let s be q(l). Factor 2*v**4 - 9*v**2 - 5*v**4 + s*v**3 - 3*v + 6*v.
-3*v*(v - 1)**3
Let 198*y + 1/2*y**4 + 242 - 9*y**3 + 37/2*y**2 = 0. What is y?
-2, 11
Let u = 98 - 463/5. Let f(v) be the first derivative of -49/5*v**3 - u*v + 63/5*v**2 + 3. Factor f(i).
-3*(7*i - 3)**2/5
Let r = 3 + -1. Suppose a + 0*v + 19 = -5*v, 0 = 4*a + 5*v + 1. Let -p + 0*p + 2*p**4 + 6*p**2 + p + a*p**3 + r*p = 0. What is p?
-1, 0
Determine l so that 4/5*l**3 + 0 - 2/5*l**2 - 2/5*l**4 + 0*l = 0.
0, 1
Let a(j) be the second derivative of j**6/630 + j**5/140 + j**4/84 + j**3/2 - 11*j. Let z(u) be the second derivative of a(u). Factor z(g).
2*(g + 1)*(2*g + 1)/7
Determine p, given that -608/7 - 48*p - 2/7*p**3 - 54/7*p**2 = 0.
-19, -4
Let h = 39/35 + -32/35. Let -8/5*x + h*x**3 - 1/5*x**2 + 12/5 = 0. Calculate x.
-3, 2
Suppose 5*q - 66 + 26 = 0. Let a(k) be the first derivative of -q*k - 16*k**2 - 14/3*k**3 - 5. Suppose a(b) = 0. Calculate b.
-2, -2/7
Let h(n) be the second derivative of n**4/24 - 2*n**3/3 - 9*n**2/4 - n + 26. Find t such that h(t) = 0.
-1, 9
Factor 0*l**2 + 0*l + 0 - 2*l**3 - 3/4*l**4 + 1/8*l**5.
l**3*(l - 8)*(l + 2)/8
Factor -3*l**3 + 15/4*l**2 + 3*l - 15/4.
-3*(l - 1)*(l + 1)*(4*l - 5)/4
Let z(w) = -w**2 - 8*w - 14. Suppose 8*a + 6 + 26 = 0. Let j be z(a). Solve -2*p**3 - 4/7*p + 0 - 18/7*p**j = 0 for p.
-1, -2/7, 0
Find u, given that 0 + 1/4*u**5 - 1/2*u**3 - 2*u - 3*u**2 + 3/4*u**4 = 0.
-2, -1, 0, 2
Let l(i) be the first derivative of i**5/30 + i**4/24 - i**3/9 - 243. Factor l(p).
p**2*(p - 1)*(p + 2)/6
Suppose 9*g - 6*g - 4*q = 18, 3*q = -9. Let o be (4*(-4)/g)/(-10). Suppose -6/5*m + 6/5*m**3 - o*m**2 + 4/5 = 0. What is m?
-1, 2/3, 1
Let i = 335 - 335. Let q(o) be the second derivative of 3*o - 1/20*o**5 + 0*o**3 + i + 0*o**2 - 1/12*o**4. Factor q(d).
-d**2*(d + 1)
Suppose -7/3 - 2*t + 1/3*t**2 = 0. What is t?
-1, 7
Let u = 76433/105050 - 3/9550. Let 2/11*w**2 + u*w + 6/11 = 0. What is w?
-3, -1
Suppose 10*z - 6*z = 156. Let r be (z/(-52))/((-3)/20). Factor -4/9 + 8/9*q**2 + 8/9*q**3 - 4/9*q**r - 4/9*q**4 - 4/9*q.
-4*(q - 1)**2*(q + 1)**3/9
Let z(h) be the second derivative of 5/6*h**4 + 0 + 0*h**2 + 1/3*h**3 + 3/10*h**5 - 31*h - 1/3*h**6 - 4/21*h**7. Solve z(b) = 0 for b.
-1, -1/4, 0, 1
Let w(d) be the third derivative of d**6/270 - d**5/90 - d**4/54 - 120*d**2. Determine b so that w(b) = 0.
-1/2, 0, 2
Let p(f) be the third derivative of -f**5/36 + 65*f**4/72 + 25*f**3/3 - 51*f**2 + 2. Factor p(z).
-5*(z - 15)*(z + 2)/3
Let w(h) be the second derivative of h**6/480 - 3*h**5/80 + 9*h**4/32 + 13*h**3/6 - 8*h. Let p(i) be the second derivative of w(i). Factor p(a).
3*(a - 3)**2/4
Let d(r) = -80*r**3 + 190*r - 55. Let o(h) be the first derivative of 3*h**4/4 - 7*h**2/2 + 2*h - 21. Let m(c) = -2*d(c) - 55*o(c). Factor m(y).
-5*y*(y - 1)*(y + 1)
Let m = -529 + 532. Let l(j) be the first derivative of -2 - 2/21*j**6 + 0*j - 8/21*j**m + 8/35*j**5 + 0*j**4 + 2/7*j**2. Determine q, given that l(q) = 0.
-1, 0, 1
Let z = -63 + 58. Let q(b) = -b**2 - 3*b - 7. Let a(j) = 1. Let h(u) = z*a(u) - q(u). Factor h(l).
(l + 1)*(l + 2)
Let h(a) be the second derivative of -a**6/45 - 7*a**5/30 - a**4 - 20*a**3/9 - 8*a**2/3 + 83*a + 1. Factor h(o).
-2*(o + 1)*(o + 2)**3/3
Let u(y) be the first derivative of 4/5*y**5 + 0*y**2 + 0*y + 4/3*y**3 + 2*y**4 - 7. Factor u(r).
4*r**2*(r + 1)**2
Suppose 4*o = 2*o - 5*m - 229, -2*o - 4*m - 230 = 0. Let c be (-12)/9 - 174/o. Factor 8/13*d**2 + 0 + c*d.
2*d*(4*d + 1)/13
Suppose -3*j = 4*y - 19, 2*j = 4*y + 6*j - 20. Suppose 4/5*f**2 - y*f**4 + 8/5*f**5 - 4/5*f + 12/5*f**3 + 0 = 0. Calculate f.
-1/2, 0, 1
Let t(z) = -17*z**2 - 3*z - 32. Let p(m) = -2*m**2 + m - 1. Let l(n) = -40*p(n) + 5*t(n). Let l(s) = 0. Calculate s.
-8, -3
Let m = 156497/1440 + -4693/32. Let s = m - -191/5. Factor 0 - 2/9*t**4 + 0*t + 4/9*t**2 + s*t**3.
-2*t**2*(t - 2)*(t + 1)/9
Let x = 535/2674 - 1/13370. Factor 2/5*q + 0 - x*q**2.
-q*(q - 2)/5
Let i(a) be the first derivative of -a**4 + 5 + 0*a**3 + a + 1/5*a**5 + 0*a**2. Let l(b) be the first derivative of i(b). Let l(w) = 0. What is w?
0, 3
Let v(l) be the third derivative of 2*l**7/105 + 3*l**6/10 + 22*l**5/15 - 64*l**3/3 - l**2 - 26*l. Find u such that v(u) = 0.
-4, -2, 1
Let f(k) be the first derivative of k**6/480 - k**5/40 + 3*k**4/32 - 16*k**3/3 + 23. Let q(d) be the third derivative of f(d). Factor q(u).
3*(u - 3)*(u - 1)/4
Let i(o) be the first derivative of 5*o**4/4 + 50*o**3 + 1125*o**2/2 + 2500*o + 100. Factor i(f).
5*(f + 5)**2*(f + 20)
Let i = 177/4 + -44. Let a(v) be the first derivative of i*v**3 + 0*v**2 + 0*v - 3. Factor a(k).
3*k**2/4
Let u(q) be the first derivative of 2*q + 31 - 6/5*q**2 + 2/15*q**3. Factor u(r).
2*(r - 5)*(r - 1)/5
Let u(y) = 15*y**3 - 3*y**2 - 54*y. Let r(c) = 7*c**3 - c**2 - 28*c. Let k(v) = 9*r(v) - 4*u(v). Find t such that k(t) = 0.
-4, 0, 3
Let w be 11/6*(40 + -17 + -19). Suppose -4/3*v**4 + 8/3 - w*v**2 - 6*v**3 + 0*v = 0. Calculate v.
-2, -1, 1/2
Factor 0 + 0*l - 4/9*l**2 + 2/9*l**4 - 2/9*l**3.
2*l**2*(l - 2)*(l + 1)/9
Let v be -94 - -97 - (-4 + 4). Factor 1/7*r**v - 1/7*r**2 + 1/7 - 1/7*r.
(r - 1)**2*(r + 1)/7
Let l(y) be the second derivative of 1/12*y**4 + 1/6*y**3 + 0 + 0*y**2 - 3*y. Find q, given that l(q) = 0.
-1, 0
Determine h so that 0 - 1/5*h**3 - 63/5*h + 64/5*h**2 = 0.
0, 1, 63
Let t(m) be the first derivative of 3*m**5/5 - 3*m**4/2 - 11*m**3 + 18*m**2 + 108*m - 593. Factor t(j).
3*(j - 3)**2*(j + 2)**2
Suppose -14 = -593*d + 586*d. Let t(u) be the third derivative of 0*u**4 + 0*u - 4*u**d + 2/315*u**7 + 0*u**3 + 0 + 1/45*u**5 - 1/45*u**6. Factor t(b).
4*b**2*(b - 1)**2/3
Let i(u) = -u**3 - 3*u**2 + 54*u. Let o be i(6). Factor 3/5*t**2 + o + 6/5*t - 3/5*t**3.
-3*t*(t - 2)*(t + 1)/5
Let r(m) be the first derivative of -27*m**4/16 + 3*m**3 + 33*m**2/8 + 3*m/2 + 200. Factor r(i).
-3*(i - 2)*(3*i + 1)**2/4
Let s(b) = 41*b**2 + 3 + 0 + 10*b + 3 - 2. Let a(f) = f**2 - 1. Let n(t) = 4*a(t) + s(t). Factor n(k).
5*k*(9*k + 2)
Let u(o) be the second derivative of -1/5*o**5 - 38*o + o**2 + 0 + 7/6*o**3 - 1/14*o**7 + 1/2*o**4 - 4/15*o**6. Factor u(b).
-(b - 1)*(b + 1)**3*(3*b + 2)
Let b(p) = -3*p**3 - p**2. Suppose 3*a + 2 = 26. Let k(n) = 5*n - 7. Let m be k(a). Let u(y) = -24*y**3 - 9*y**2. Let o(g) = m*b(g) - 4*u(g). Factor o(v).
-3*v**2*(v - 1)
Let m(b) be the second derivative of 0*b**2 - b + 0 - 1/18*b**4 - 1/9*b**3. Let m(i) = 0. What is i?
-1, 0
Let k(a) be the first derivative of a**6/12 + 44*a**5/15 + 11*a**4 + 16*a**3/3 - 52*a**2/3 - 718. Find s such that k(s) = 0.
-26, -2, 0, 2/3
Let l(d) be the second derivative of -2/5*d**5 + 0*d**2 + 5/6*d**4 - 23*d + 0 - 1/3*d**3. Factor l(x).
-2*x*(x - 1)*(4*x - 1)
Let h = -31 + 29. Let o(c) = 9*c**4 + 25*c**3 + 27*c**2 + 21*c - 5. Let u(q) = 4*q**4 + 12*q**3 + 14*q**2 + 10*q - 2. Let v(y) = h*o(y) + 5*u(y). Factor v(k).
2*k*(k + 1)*(k + 2)**2
Let f(u) be the third derivative of u**9/7560 - u**8/1680 + u**7/1260 - u**4 + 6*u**2. Let h(s) be the second derivative of f(s). Factor h(k).
2*k**2*(k - 1)**2
Let y(w) be the third derivative of 0 + 1/12*w**5 - 25/6*w**3 - 5/6*w**4 + 13*w**2 + 0*w. What is l in y(l) = 0?
-1, 5
Let m(s) = -11*s**2 - 36*s - 40. Let o(g) = -15*g**2 - 36*g - 41. Let x(a) = 4*m(a) - 3*o(a). Factor x(t).
(t - 37)*(t + 1)
Factor 21*w**2 - 27*w**2 + 6*w**3 - 4*w**3 - 21*w**2 + 54*w + w**3.
3*w*(w - 6)*(w - 3)
Let w = -46877/5 - -9377. Find p such that 12/5*p + w*p**2 + 0 - 4/5*p**3 = 0.
-1, 0, 3
Let 0*i**3 - 1/5*i**4 + 48/5*i**2 - 128/5*i + 0 = 0. What is i?
-8, 0, 4
Let k(r) be the first derivative of -9*r**4/4 + 11*r**3/3 - r**2 - 40. Factor k(p).
-p*(p - 1)*(9*p - 2)
Let q = 25 + -22. Factor 7*o**3 + 25*o**q + 223*o - 28*o**2 - 215*o - 12*o**4.
-4*o*(o - 1)**2*(3*o - 2)
What is z in 102*z**3 + 121*z**3 - 4*z**5 - 215*z**3 - 4*z = 0?
-1, 0, 1
Let k = 143 - 14299/100. Let t