j**4 + 243/7*j**2 = 0.
-9, 0, 9
Let w(u) be the first derivative of -u**4/36 - 5*u**3/27 + 37*u**2/9 - 40*u/3 - 11531. Suppose w(a) = 0. Calculate a.
-12, 2, 5
Let y be 19/(-19) - 18/(-10). Solve 1/5*f**3 + 2/5*f**2 - 3/5*f**5 + 0*f + 0 - y*f**4 = 0.
-1, 0, 2/3
Let q(z) be the third derivative of -7*z**5/270 + 101*z**4/54 + 29*z**3/27 - z**2 - 1060*z. Determine d, given that q(d) = 0.
-1/7, 29
Let s = -625 + 627. Factor -2*f - f**s + 4*f + 6*f**3 + f**4 - 4*f - 5*f + f.
f*(f - 1)*(f + 1)*(f + 6)
Let q(o) be the second derivative of -o**7/42 + 22*o**6/45 - 7*o**5/15 + o + 228. Factor q(j).
-j**3*(j - 14)*(3*j - 2)/3
Let t be 2049729/4858 + (-24)/7 + 2. Solve -29*n + t + 1/2*n**2 = 0.
29
Suppose 0 = -34*u + 42*u - 264. Suppose -62*j + 23*j = -u*j. Factor -8/5*r**2 + 0*r + 4/5 + 4/5*r**4 + j*r**3.
4*(r - 1)**2*(r + 1)**2/5
Let d(g) = 137*g + 824. Suppose 5*s + 3*h + 30 = 0, -h + 24 = -4*s + h. Let l be d(s). Factor l*n - 2 - 1/2*n**2.
-(n - 2)**2/2
Let w be 3/45 - ((-2212)/160)/7. Let g(l) be the third derivative of 13*l**2 - w*l**6 + 21/2*l**5 - 25/2*l**4 + 0*l + 20/3*l**3 + 0. Factor g(y).
-5*(y - 2)*(7*y - 2)**2
Let o(g) be the first derivative of 3*g**4/2 + 2*g**3/9 - 2*g**2/9 + 1688. Factor o(s).
2*s*(3*s + 1)*(9*s - 2)/9
Let z be ((-3)/(-4))/(25/220). Let w = z + -6. Find r, given that 6/5 + w*r - 3/5*r**2 = 0.
-1, 2
Factor 48/7 + 275427/7*a**2 - 7272/7*a.
3*(303*a - 4)**2/7
Suppose 14/5*x**2 - 356*x + 254/5 = 0. What is x?
1/7, 127
Let 2/9*c**2 + 1114/9*c - 1120/3 = 0. Calculate c.
-560, 3
Let m be (2/3)/((-10)/9)*-5. Determine a, given that -12*a**m + 58*a - 24*a - 18*a - 20*a**2 - 24*a = 0.
-1, -2/3, 0
Let j be 527/153*132/(-8). Let c = j - -685/12. Factor -1/2*s - 3/4*s**2 + 0 - c*s**3.
-s*(s + 1)*(s + 2)/4
Suppose -4*d - 86 = -47*d. Factor -40*z**3 + 41*z**3 - 16*z + 26*z**d - 32*z**2.
z*(z - 8)*(z + 2)
Let l(f) be the second derivative of f**7/42 - 47*f**6/30 + 307*f**5/20 + 1857*f**4/4 + 3276*f**3 + 10584*f**2 + 11*f + 25. Factor l(m).
(m - 28)**2*(m + 3)**3
Let q(l) be the third derivative of -l**7/504 + l**6/48 + l**4/8 - 5*l**3/6 + 15*l**2 - 3*l. Let v(i) be the second derivative of q(i). Factor v(c).
-5*c*(c - 3)
Suppose -d - d + 17 = w, -3*w - 12 = -3*d. Factor -t - 8*t - 7*t**2 - d*t + 3*t - 6.
-(t + 1)*(7*t + 6)
Let t be (5*2/844)/(3/6). Let c = t + 1457/844. What is l in -3/2*l**3 + c*l**4 + 0 - 3*l**2 + 3/4*l**5 + 2*l = 0?
-2, 0, 2/3, 1
Let n = -1758 - -1761. Let i(j) be the second derivative of 0 + 14*j + 9/4*j**2 + 1/24*j**4 - 1/2*j**n. Factor i(h).
(h - 3)**2/2
Suppose 7*c = -368 - 80. Let r = c + 67. Find q, given that -12*q**4 + 28*q**2 + 0*q**4 + 16*q**r + 6 + 16*q - 22 - 32*q**3 = 0.
-2, -1, 2/3, 1
Let p(r) be the second derivative of r**3 - 1/3*r**4 + r + 2*r**2 + 3. Solve p(y) = 0 for y.
-1/2, 2
Let q(u) = u**2 + 4*u - 7. Let d be q(-6). Let z(t) be the third derivative of -t**2 - 4/3*t**3 - 1/60*t**d + 1/4*t**4 + 0 + 0*t. Factor z(y).
-(y - 4)*(y - 2)
Suppose -2*i - 1 = 5*z + 3, 4*z = -5*i - 10. Suppose 0 = -3*h + 3*t, 3*h = -z*h - 4*t + 21. Factor -2*v**3 - 2*v + 0*v**h + 7*v**2 - 11*v**2.
-2*v*(v + 1)**2
Let w(l) = 23*l**2 + 15*l - 38. Let s = -1275 - -1273. Let o(f) = -3*f**2 - 5*f + 10 - 5*f**2 + 3. Let t(v) = s*w(v) - 7*o(v). Factor t(d).
5*(d - 1)*(2*d + 3)
Let g(o) be the third derivative of -o**6/120 + 4*o**5/15 + o**4/6 - 32*o**3/3 + 784*o**2. Let g(u) = 0. Calculate u.
-2, 2, 16
Let g = -237/92 + 2551/276. What is t in 1/3*t**3 + g + 6*t**2 - 13*t = 0?
-20, 1
Let j be 18/(-216) + (-507)/(-36). Let n be -9 + 154/j + (-2)/3. Suppose -n*v**3 + 4/3*v**4 + 0*v + 0 + 0*v**2 = 0. What is v?
0, 1
Find u such that -288/5*u + 84/5*u**2 - 2/15*u**4 - 16/15*u**3 + 306/5 = 0.
-17, 3
Let y(t) be the first derivative of t**7/6300 - t**6/675 + t**5/225 + 20*t**3/3 - 27. Let x(g) be the third derivative of y(g). Factor x(m).
2*m*(m - 2)**2/15
Let o(r) = -r**5 + 26*r**4 + 36*r**3 - 9*r + 3. Let g(c) = 27*c**4 + 37*c**3 - 6*c + 2. Let t(d) = -3*g(d) + 2*o(d). Determine q, given that t(q) = 0.
-13, -3/2, 0
Solve 0*b + 6*b**4 - 2/3*b**5 + 16*b**2 + 68/3*b**3 + 0 = 0 for b.
-2, -1, 0, 12
Let p(i) be the first derivative of i**5/15 + 19*i**4/12 - 113*i**3/9 + 55*i**2/2 - 24*i + 144. Factor p(s).
(s - 3)*(s - 1)**2*(s + 24)/3
Let v = -285802 - -857476/3. Factor 74/3*t**2 - 142/3*t + v - 2/3*t**3.
-2*(t - 35)*(t - 1)**2/3
Let c = -650360 - -650362. Determine v so that 46/13*v**c - 2/13*v**5 + 20/13*v + 30/13*v**3 + 0 + 2/13*v**4 = 0.
-2, -1, 0, 5
Let z(n) be the first derivative of -n**5/35 + 17*n**4/28 - 11*n**3/21 - 11*n**2/2 - 48*n/7 + 443. Let z(i) = 0. Calculate i.
-1, 3, 16
Let u(n) = 16*n**3 - 524*n**2 + 1848*n - 1812. Let j(z) = -z**3 + 4*z**2 - 2. Let m(p) = 28*j(p) + 2*u(p). Determine r so that m(r) = 0.
2, 230
Let v(q) be the third derivative of 0*q + 31/84*q**4 + 0 - 1/42*q**5 + 34*q**2 - 2/7*q**3. Factor v(t).
-2*(t - 6)*(5*t - 1)/7
Let d(k) = -k - 4. Let i be d(-9). Suppose 95 = 5*l - 5*r, -5*r + 37 = 4*l - 12. Let i - l*o - 20 - 3*o**2 - 2*o = 0. Calculate o.
-5, -1
Let o be 198156/(-11121) + (18 - 0). Suppose -o*y**2 + 8*y + 90/11 = 0. Calculate y.
-1, 45
Suppose -732 = 32*a - 33*a. Suppose 7*k**2 - 734*k + 2*k**3 - k**2 - 6 + a*k = 0. Calculate k.
-3, -1, 1
Let q = -298/123 - -2332/861. Factor 4/7 + 6/7*a + q*a**2.
2*(a + 1)*(a + 2)/7
Determine y, given that 39/2*y**3 + 48*y + 66*y**2 + 0 + 3/2*y**4 = 0.
-8, -4, -1, 0
Let l(h) be the second derivative of -12*h**6/5 - 37*h**5/5 - 20*h**4/3 - 2*h**3/3 - 1815*h. Factor l(a).
-4*a*(a + 1)**2*(18*a + 1)
Let g(v) be the second derivative of 177*v**5/100 - 88*v**4/5 - 6*v**3/5 - 2*v + 825. Suppose g(l) = 0. What is l?
-2/59, 0, 6
What is x in -483/4*x + 495 - 3/4*x**2 = 0?
-165, 4
Suppose -19*x + 25 + 507 = 0. Let u be -5 - ((-147)/x)/1. Determine c, given that -3/4*c + 0 + u*c**2 = 0.
0, 3
Let l = 13799 - 13797. Let p(d) be the second derivative of 0 + 0*d**l + 1/39*d**4 - 1/195*d**6 - 24*d + 0*d**3 + 1/130*d**5. Factor p(u).
-2*u**2*(u - 2)*(u + 1)/13
Let p be ((-2)/(-9))/(644/735). Let y = 11/138 + p. Factor 5/3*c + y*c**3 - 2/3 - 4/3*c**2.
(c - 2)*(c - 1)**2/3
Let f = 60 - 50. Suppose 5 = -j + n + f, 4*j + 4*n - 4 = 0. Factor 10 + 21*i**3 - 2*i**3 - 14*i**j - 15*i.
5*(i - 1)**2*(i + 2)
Factor 4*n**4 + 3*n**3 + 28*n**2 + 60*n**2 - 31*n**3 - 40*n**2.
4*n**2*(n - 4)*(n - 3)
Let p(i) be the third derivative of -i**8/141120 + i**7/35280 + i**6/2520 - 11*i**5/20 - 51*i**2. Let t(d) be the third derivative of p(d). Factor t(r).
-(r - 2)*(r + 1)/7
Let i(o) = o**2 + o + 28. Let z(f) = -1071*f - 1211. Let h(k) = 5*i(k) + z(k). Factor h(u).
(u + 1)*(5*u - 1071)
Suppose 140/3 + 142/3*r + 2/3*r**2 = 0. What is r?
-70, -1
Let a(u) be the third derivative of -u**5/90 + 166*u**4/9 - 2*u**2 + 69*u - 9. Factor a(q).
-2*q*(q - 664)/3
Let g be (-27)/((-297)/286) + 4/(-1). Suppose 8 + g = 10*v. Suppose -v*k**2 + 1/2*k**3 - 4 + 6*k = 0. Calculate k.
2
Let l(c) be the third derivative of c**6/210 + 17*c**5/21 + 982*c**2 + 2*c. Factor l(p).
4*p**2*(p + 85)/7
Suppose -2*z + 2 = -2*t, 3*z - t - 11 = -6*t. Find a such that -8*a**z + 65 - 14*a + 41*a + 13*a**2 + 43*a = 0.
-13, -1
Let z(s) be the first derivative of -3*s**5/25 + 3*s**4/5 - 6*s**3/5 + 6*s**2/5 - 3*s/5 + 5129. Factor z(j).
-3*(j - 1)**4/5
Let s be (-27)/60*-25 + -11 + 0. Factor 0 + 5/4*c**2 + c + s*c**3.
c*(c + 1)*(c + 4)/4
What is k in 39*k**2 - 23/2 - 7/4*k**3 + 117/4*k = 0?
-1, 2/7, 23
Let y = 22319/3 + -7427. Let z(x) be the first derivative of -y*x**3 - 4*x**2 + 8*x - 6/5*x**5 - 21 - 7*x**4. Suppose z(n) = 0. What is n?
-2, -1, 1/3
Let k be 24/(-14)*(-105)/15. Suppose 0 = d + 5*c + 2 - 0, 3*d - 3*c = k. Factor -8*i + i**2 + 3*i**2 - 2*i**d + 6*i**3.
4*i*(i - 1)*(i + 2)
Let i(x) = x**2. Let y(n) = -37*n + 554. Let l be y(15). Let d(b) = -6*b**3 - 4*b**2 + 9*b. Let f be -3 - -3*(-6)/(-9). Let h(t) = f*i(t) + l*d(t). Factor h(q).
3*q*(q - 1)*(2*q + 3)
Let a = -73328 + 1246632/17. Factor -18/17*r**4 + 0 - a*r**2 + 16/17*r - 4*r**3.
-2*r*(r + 2)**2*(9*r - 2)/17
Let y be ((-6)/(-9))/(6/9). Factor -4*t - t**2 + 5 - 4*t + y + 3*t.
-(t - 1)*(t + 6)
Let p(q) be the third derivative of -676*q**7/315 + 104*q**6/9 - 503*q**5/30 + 107*q**4/36 - 2*q**3/9 - 2*q**2 + 50. Determine b, given that p(b) = 0.
1/26, 1, 2
Solve -5*p**5 - 70*p*