*q**r + 36*q**4 + q**2 + 7*q**2 - 26*q**4.
2*q*(q + 1)*(q + 2)*(5*q - 2)
Find j, given that -95096 - 14*j + 95096 + j**2 = 0.
0, 14
Let m(n) = -n**2 - 28*n + 34. Let w be 3*(-1)/7 + (-1800)/63. Let k be m(w). Factor 2/11*h**k - 4/11*h**3 + 2/11*h + 0*h**4 + 0 + 0*h**2.
2*h*(h - 1)**2*(h + 1)**2/11
Let r(d) be the first derivative of -d**5 + 245*d**4/4 - 235*d**3/3 - 245*d**2/2 + 240*d - 469. Let r(i) = 0. What is i?
-1, 1, 48
Let j(f) be the first derivative of -f**5/5 + f**4/2 + 39. Determine u so that j(u) = 0.
0, 2
Let q(o) be the first derivative of -41 + 3/8*o**2 + 0*o + 1/12*o**3. Solve q(b) = 0.
-3, 0
Determine r, given that 130/11*r - 58/11*r**2 - 8/11*r**3 + 36/11 = 0.
-9, -1/4, 2
Determine f, given that -196*f**2 + 8*f**4 - 5*f**4 - 4*f**4 - 28*f**3 = 0.
-14, 0
Let l = 36221 - 36218. Find f, given that 0 - 20/3*f + 0*f**2 + 5/3*f**l = 0.
-2, 0, 2
Suppose 2 = z - 1. Factor -12*r**2 + 12*r**3 + 6*r**3 + 55*r - 20 - 38*r**2 - z*r**3.
5*(r - 1)**2*(3*r - 4)
Factor -1/4*j**2 + 3/2*j - 3/8*j**3 + 1/8*j**4 - 1.
(j - 2)**2*(j - 1)*(j + 2)/8
Let g(f) = -53*f + 7264. Let n be g(137). Factor 3/8*r**4 - 5/4*r**n + 0 + 1/2*r - 9/8*r**2.
r*(r - 4)*(r + 1)*(3*r - 1)/8
Let p = -381 - -383. Let o(h) be the first derivative of 6*h - 5 - 2/3*h**3 - p*h**2. Factor o(c).
-2*(c - 1)*(c + 3)
Suppose 14 = -p + 56*t - 58*t, -2*t = 2*p + 12. Factor 6 - 16/3*z - 2/3*z**p.
-2*(z - 1)*(z + 9)/3
Let d = -478 - -481. Let i(g) be the third derivative of 1/24*g**d + 0*g - 1/480*g**6 + 0 + 1/96*g**4 - 1/240*g**5 - 6*g**2. Suppose i(f) = 0. Calculate f.
-1, 1
Let j be (2706/154 + -17)*(-1 - -2). Factor 8/7 - 4/7*v - j*v**2.
-4*(v - 1)*(v + 2)/7
Let j = 4 + 0. Suppose 4*h - i = -11 + 6, -5*i = -5*h - 25. Determine y so that h - y**j + 1/2*y**2 + 0*y + 1/2*y**3 = 0.
-1/2, 0, 1
Let o = -209 - -209. Suppose -3*s = 5*i + 19, -5*i - 40 + 15 = o. Find l, given that 2*l**3 + 2/9 + 14/9*l + 10/3*l**s = 0.
-1, -1/3
Let j(g) be the first derivative of 0*g - 1 + 0*g**3 + 1/150*g**5 - 1/60*g**4 + g**2. Let q(o) be the second derivative of j(o). Factor q(w).
2*w*(w - 1)/5
Let p(h) be the first derivative of -5*h**7/42 + 2*h**6/3 - 5*h**5/4 + 5*h**4/6 - 25*h - 41. Let a(x) be the first derivative of p(x). Solve a(z) = 0 for z.
0, 1, 2
Let a(u) be the second derivative of -u**4/72 + 4*u**3/3 - 47*u**2/12 + 352*u. Solve a(h) = 0 for h.
1, 47
Let y(n) be the first derivative of -n**4 + 220*n**3/3 - 1566*n**2 + 2916*n - 454. Suppose y(g) = 0. What is g?
1, 27
Suppose -2*b - 10 = -28. Factor -2*q**4 - q**4 + 6*q**3 + 12*q**2 - 7*q - 2*q + 3*q - b.
-3*(q - 3)*(q - 1)*(q + 1)**2
Let f(b) = b - 2. Suppose -2*k + 5 = -3. Let y be f(k). Determine x, given that -y*x**2 - 7*x**4 - 2*x**2 - 7*x**4 + 24*x**3 - 2*x**2 - 4*x = 0.
-2/7, 0, 1
Let l(r) = -20*r**3 + 369*r**2 - 732*r + 162. Let q(v) = 40*v**3 - 740*v**2 + 1465*v - 325. Let z(p) = 5*l(p) + 2*q(p). Factor z(a).
-5*(a - 16)*(a - 2)*(4*a - 1)
Let z(i) be the second derivative of i**4/12 + 4*i**3/3 + 6*i**2 - 2*i + 150. Factor z(u).
(u + 2)*(u + 6)
Let j = -20 - -24. Suppose 0 = 3*a - 6 - 3. Let 0*o**3 + j*o**3 + 4*o**a + 6*o**2 - 5*o**3 = 0. What is o?
-2, 0
Let s(k) be the first derivative of 2*k**3/9 - 8*k**2/3 + 72. Factor s(j).
2*j*(j - 8)/3
Suppose -25*v + 29*v - 40 = 0. Factor v*a**3 + 15*a**2 - 180 - 10*a + 180.
5*a*(a + 2)*(2*a - 1)
Let r be 1/(14/(-4)) - (-10)/14. Let f(m) be the third derivative of 1/28*m**4 + m**2 + 0*m - r*m**3 + 1/42*m**5 + 0 + 1/420*m**6. Factor f(q).
2*(q - 1)*(q + 3)**2/7
Suppose 4*o = -5 + 5. Let h(z) be the third derivative of 13/36*z**4 - 6*z**2 - 1/3*z**3 - 2/45*z**5 + o + 0*z. Find f, given that h(f) = 0.
1/4, 3
Suppose z + 4 - 7 = 0. Factor 75*o**5 + 12*o**2 - 8*o**3 - 41*o**z - 3*o**3 + 4*o**3 + 15*o**4.
3*o**2*(o + 1)*(5*o - 2)**2
Let v(l) be the first derivative of -2*l**5/45 - l**4/3 - 2*l**3/27 + 8*l**2/3 - 32*l/9 + 15. Determine i so that v(i) = 0.
-4, 1
Let u(a) be the first derivative of a**6/72 - a**5/6 + 55*a**4/72 - 5*a**3/3 + 14*a**2 + 11. Let j(h) be the second derivative of u(h). Factor j(d).
5*(d - 3)*(d - 2)*(d - 1)/3
Suppose -59*j + 61*j = 10. Let o(k) be the second derivative of 2/27*k**3 - 1/27*k**6 + 7*k + 0*k**2 + 1/189*k**7 + 0 - 7/54*k**4 + 1/10*k**j. Solve o(d) = 0.
0, 1, 2
Let q(p) be the first derivative of -p**2 - 8/3*p + 15 + 2/9*p**3. Factor q(l).
2*(l - 4)*(l + 1)/3
Suppose -2*u - 47 + 38 = 5*m, -m - 3 = 0. Factor 0 + w**4 - 7/4*w**2 + 1/2*w - 5/4*w**u.
w*(w - 2)*(w + 1)*(4*w - 1)/4
Let b(r) be the second derivative of r**7/1050 - r**6/180 + r**5/75 - 2*r**4 - 21*r. Let s(i) be the third derivative of b(i). Factor s(w).
4*(w - 1)*(3*w - 2)/5
Let a be 2/(-10)*5/(-2). Suppose -16 = -4*w - u, 552*w - 2*u = 557*w - 20. Find l, given that 1/2*l**w + 0*l**3 - l**2 + a + 0*l = 0.
-1, 1
Let y = 16 + -17. Let i = y - -13. Factor 0*q**3 + 4*q**2 + 2*q**3 + 11*q**3 + 3*q**3 - 8*q - i*q**4.
-4*q*(q - 1)**2*(3*q + 2)
Let v(u) = -2*u**4 - 6*u**3 + 5*u**3 - 1 + u**4 + 2*u**3. Let h(a) = -14*a**3 - 2*a**2 + 6. Let p(f) = 2*h(f) + 12*v(f). Find x, given that p(x) = 0.
-1, -1/3, 0
Let o = -431/15 + 144/5. Let v(q) be the third derivative of 0*q + 1/4*q**4 + 0 + q**2 - o*q**5 + 2/3*q**3. Factor v(p).
-2*(p - 2)*(2*p + 1)
Let y(p) be the third derivative of -p**6/1080 - p**5/270 - p**4/216 - 74*p**2. Factor y(c).
-c*(c + 1)**2/9
Suppose 143 + 36 = 4*i - v, 139 = 3*i + 4*v. Suppose 83*t**3 + 38*t**4 + 5*t**5 - 8*t**4 + i*t - 4*t**3 - 9*t**3 + 10 + 80*t**2 = 0. Calculate t.
-2, -1
Solve -2*p - 2*p**2 + 18 - 50 - 4*p**2 + 7*p**2 - 12*p = 0 for p.
-2, 16
Let m(c) be the first derivative of -5/2*c**4 - 3*c**5 + 35/3*c**3 + 12 + 0*c - 5*c**2. Solve m(t) = 0.
-2, 0, 1/3, 1
Factor 1/6*m**3 + 17/6*m + 0 - 3*m**2.
m*(m - 17)*(m - 1)/6
Let r(t) be the first derivative of -3/20*t**4 + 0*t - 2/5*t**3 - 3/10*t**2 - 8. Solve r(g) = 0 for g.
-1, 0
Let x(h) be the first derivative of -2*h**6/9 - 28*h**5/15 - 6*h**4 - 80*h**3/9 - 16*h**2/3 + 86. Factor x(l).
-4*l*(l + 1)*(l + 2)**3/3
Let n(j) = j - 6 - 21*j**2 + 6*j**2 - 11*j - j. Let q(t) = -44*t**2 - 34*t - 18. Let g(f) = 14*n(f) - 5*q(f). Let g(y) = 0. What is y?
-1, -3/5
Let z be (-35)/420 + (-2)/8*-1. Let g(r) be the second derivative of z*r**4 - 1/15*r**6 + 0*r**2 + 0 + 1/42*r**7 + 0*r**5 - 6*r - 1/6*r**3. Factor g(v).
v*(v - 1)**3*(v + 1)
Let a(s) be the first derivative of -s**7/420 - s**3/3 + 7. Let o(z) be the third derivative of a(z). Find u such that o(u) = 0.
0
Let n(r) be the first derivative of 1/720*r**6 + 1/60*r**5 - 11 - 5/3*r**3 + 0*r + 0*r**2 + 1/16*r**4. Let s(h) be the third derivative of n(h). Factor s(w).
(w + 1)*(w + 3)/2
Let b(t) be the first derivative of -2*t**5/25 - 3*t**4/10 + 26*t**3/15 + 3*t**2 - 423. Factor b(j).
-2*j*(j - 3)*(j + 1)*(j + 5)/5
Let z = 39 + -36. Suppose -z*q**5 + 3*q**4 + 11*q**2 + 15*q**2 - 29*q**2 + 3*q**3 = 0. Calculate q.
-1, 0, 1
Let u(w) be the first derivative of w**9/2016 + 3*w**8/1120 + w**7/280 - 8*w**3/3 + 10. Let h(z) be the third derivative of u(z). Solve h(f) = 0.
-2, -1, 0
Let v(h) be the third derivative of h**6/60 + h**5/30 - 153*h**2. What is q in v(q) = 0?
-1, 0
Let t(q) be the first derivative of q**7/1260 - q**6/180 - q**2/2 + 32*q - 33. Let s(k) be the second derivative of t(k). Factor s(y).
y**3*(y - 4)/6
Let c be 688/168 - 6/63. Let q(y) be the first derivative of 0*y**2 - 1/6*y**c - 4/9*y**3 + 5 + 0*y. Factor q(h).
-2*h**2*(h + 2)/3
Factor 0 + 2/7*j**5 + 0*j**2 + 0*j + 0*j**4 - 2/7*j**3.
2*j**3*(j - 1)*(j + 1)/7
Let m be (-8)/14*224/(-80). Determine c, given that 0 + 2/5*c**3 + 0*c**2 - m*c = 0.
-2, 0, 2
Let w be ((-20)/(-28) - 5)*(-16)/12. What is z in w*z + 8/7 + 6*z**2 - 2*z**4 - 4/7*z**3 = 0?
-1, -2/7, 2
Let 304/13*v - 2/13*v**2 - 11552/13 = 0. Calculate v.
76
Let w be 3 - (0/2)/(-1). Suppose -5*x = -h - 20, 20 = w*x + 2*x + 2*h. Factor -1 - 6*y + x + 0*y + 3*y**2.
3*(y - 1)**2
Let m(t) = 12*t**5 + 3*t**4 - 34*t**3 + 15*t**2 + 6*t - 2. Let u(y) = y**3 - 1. Let b(x) = m(x) - 2*u(x). Solve b(q) = 0.
-2, -1/4, 0, 1
Factor 336 + 3/7*d**2 - 24*d.
3*(d - 28)**2/7
Suppose -b + 5*o = 4 + 3, -3*o - 6 = -4*b. Solve -2*p**b - 8*p + 31*p**2 - 37*p**2 + 16*p**2 = 0.
0, 1, 4
Let v(d) be the first derivative of 2*d**3/3 - 9*d**2 + 16*d - 9. Factor v(q).
2*(q - 8)*(q - 1)
Let z be 2145/396 + (-