 (-6)/(-360)*-6*2/(-4). Let z(b) be the second derivative of 0*b**2 - 1/6*b**3 - 1/6*b**4 - h*b**5 + 0 + 3*b. Factor z(q).
-q*(q + 1)**2
Suppose -31 + 67 = 9*f. Let 8*l**2 - 11*l**2 + f*l**2 - 6*l**2 = 0. What is l?
0
Let y(c) be the first derivative of 11*c**6/3 - 18*c**5/5 - 13*c**4/2 + 6*c**3 + 2*c**2 + 677. Find r such that y(r) = 0.
-1, -2/11, 0, 1
Let c be (-3 - (-45)/10)/(9/(-30)). Let d be 60/(-210) - c/7. Solve 3/7*m**3 - 3/7*m - 3/7*m**4 + d*m**2 + 0 = 0 for m.
-1, 0, 1
Let u(z) = -4*z**3 - 81*z**2 + 206*z - 63. Let j(v) = 20*v**3 + 404*v**2 - 1030*v + 318. Let o(p) = 7*j(p) + 34*u(p). Factor o(x).
2*(x - 2)*(x + 21)*(2*x - 1)
Let i(x) be the first derivative of 2*x**3/3 - 606*x**2 + 1210*x + 25. Determine j, given that i(j) = 0.
1, 605
Let g(m) be the third derivative of -19/180*m**4 + 2/45*m**3 + 14*m + 0 + 1/50*m**5 - 2*m**2. Let g(b) = 0. Calculate b.
1/9, 2
Factor 5*c**3 - 48*c + 144 + 17553*c**2 - 17562*c**2 - 2*c**3.
3*(c - 4)*(c - 3)*(c + 4)
Let z be (-4)/10 + 9/10. Let p(s) = -3*s**2 + 87*s + 2739. Let g be p(48). Find x, given that -3/2*x**g + 3/2*x + 1 - 1/2*x**4 - z*x**2 = 0.
-2, -1, 1
Let o(g) = 1751*g**3 + 8*g - 18*g**2 - 1753*g**3 + 1 - 1. Let p = 14 - 26. Let b(i) = i**3 + 7*i**2 - 3*i. Let d(x) = p*b(x) - 5*o(x). Factor d(q).
-2*q*(q - 2)*(q - 1)
Let x be (0 - -1)/((-5)/(-125)). Suppose 22*h + 30 = x*h. Suppose -10*o**4 + 35*o**3 - 6*o - 30*o**2 + h + 5*o + 2*o - 6*o = 0. Calculate o.
-1/2, 1, 2
Suppose -86*z = -87*z - q + 5, -4*z = q - 14. Suppose -2*u - i + 105 = 0, z*u - u = 3*i + 85. Factor -2/5*l**4 + 6*l**3 + 0 - 30*l**2 + u*l.
-2*l*(l - 5)**3/5
Let r(b) be the third derivative of -b**5/20 + 45*b**4 + 3*b**2 + 76. Factor r(m).
-3*m*(m - 360)
Let -1305 - 76*d**2 - 1724 + 587 + 146*d**2 - 68*d**2 - 8*d = 0. What is d?
-33, 37
Let d(s) be the second derivative of -8*s + 1/30*s**5 - 10/9*s**3 + 2*s**2 + 7/36*s**4 - 9 - 1/90*s**6. Factor d(y).
-(y - 2)**2*(y - 1)*(y + 3)/3
Let h(m) be the second derivative of 28/15*m**3 - 1/50*m**5 - 4*m**2 + 2 + 37*m - 7/30*m**4. Factor h(p).
-2*(p - 2)*(p - 1)*(p + 10)/5
Let g(i) be the third derivative of -1/27*i**4 - 1/270*i**5 + 5/27*i**3 + 10*i + 0 - 2*i**2. Factor g(m).
-2*(m - 1)*(m + 5)/9
Let p = -11425/18 + 5726/9. Let v(q) be the second derivative of 1/4*q**4 + 0 + 16*q + 1/2*q**3 - p*q**2 - 3/20*q**5. Factor v(g).
-3*(g - 1)**2*(g + 1)
Factor -o**4 - 261 - 500*o + o**3 + 15*o**2 - 239 + 13*o**3.
-(o - 10)**2*(o + 1)*(o + 5)
Let t = 305 - 303. Determine f, given that -3*f**t + f**2 - 3*f**3 + 7*f**3 - 2*f**3 = 0.
0, 1
Let y(d) = 2*d**5 - 2*d**4 - d**3 - 3. Let z(n) = 2*n**5 - 156*n**4 - 2050*n**3 - 7680*n**2 - 6. Let w(j) = 2*y(j) - z(j). Let w(k) = 0. Calculate k.
-60, -8, 0
Let j be (10/25 + -2)*(-6)/((-324)/(-45)). Let l(w) be the first derivative of 5/2*w**4 + 19 + 0*w**2 + 1/3*w**6 - j*w**3 + 0*w - 8/5*w**5. Factor l(k).
2*k**2*(k - 2)*(k - 1)**2
Let o(r) be the first derivative of -r**5/5 - 27*r**4/2 - 673*r**3/3 + 756*r**2 - 784*r + 443. Factor o(k).
-(k - 1)**2*(k + 28)**2
Factor -430*h**2 - 409*h + 156*h**2 + 133*h + 169*h**2 - 3*h**3 + 384.
-3*(h - 1)*(h + 4)*(h + 32)
Factor 32/5 + 66/5*r**2 - 18/5*r**3 - 16*r.
-2*(r - 1)*(3*r - 4)**2/5
Let b(v) be the first derivative of v**6/15 - v**4/2 - 2*v**3/3 - 26*v - 2. Let d(o) be the first derivative of b(o). Suppose d(n) = 0. Calculate n.
-1, 0, 2
Let o(v) be the first derivative of -2*v**3/3 + 40*v**2 - 462*v + 2280. Solve o(w) = 0 for w.
7, 33
Determine l so that 44*l**2 - 107*l**2 + 5*l**3 - 17*l**2 + 5*l**4 + 100*l = 0.
-5, 0, 2
Solve 0 - 136/7*r**3 - 2/7*r**4 + 0*r + 138/7*r**2 = 0.
-69, 0, 1
Suppose 5566*p**2 - 768 + 140*p - 11123*p**2 + 5555*p**2 = 0. Calculate p.
6, 64
Let p = -44/581 - -107388/6391. Factor -2/11*a**3 - p*a - 16 - 52/11*a**2.
-2*(a + 2)**2*(a + 22)/11
Let h(d) be the second derivative of -d**4/3 - 64*d**3/3 + 840*d**2 + 153*d - 2. Factor h(r).
-4*(r - 10)*(r + 42)
Let n be ((-45)/6)/(6480/(-24624)). Let -45*i**4 - n*i**3 + 195/2*i**2 - 48*i + 6 = 0. Calculate i.
-2, 1/5, 1/2, 2/3
Factor -1/5*a**5 + 0*a + 21/5*a**3 + 4/5*a**4 + 0*a**2 + 0.
-a**3*(a - 7)*(a + 3)/5
Factor -88 + 1/2*f**2 + 175/2*f.
(f - 1)*(f + 176)/2
Suppose 0 = 30*l - 11*l + 323. Let t be (-4 + 2 + 0)*l/68. What is v in 1/4*v**2 + t - 3/4*v = 0?
1, 2
Solve -12*n**4 - 21/2*n**3 + 0*n**2 + 0*n + 0 - 3/2*n**5 = 0.
-7, -1, 0
Let c(h) be the second derivative of 2*h**6/15 - 11*h**5/5 - 25*h**4/3 - 26*h**3/3 + 34*h - 9. Solve c(f) = 0 for f.
-1, 0, 13
Let x(l) be the first derivative of 4*l**5/15 - 5*l**4 + 128*l**3/9 + 32*l**2 + 8702. Suppose x(v) = 0. Calculate v.
-1, 0, 4, 12
Let y = -12/2743 + 5522/8229. Factor y*f**4 + 2*f**2 + 0 - 20/3*f + 4*f**3.
2*f*(f - 1)*(f + 2)*(f + 5)/3
Let l be 244/183 - 64/84. Factor 20/7*c - 16/7*c**2 - l.
-4*(c - 1)*(4*c - 1)/7
Let r = -85326 - -85331. Solve -1/4*q**r + 3/2 - q**4 + 17/4*q + 7/2*q**2 + 0*q**3 = 0.
-3, -1, 2
Solve -155*v - 32*v**3 - 1406 + 36*v**3 - 72*v**2 - 281*v + 854 = 0.
-3, -2, 23
Let d = 175 + -170. Factor 484*w**4 - 964*w**4 + 4*w**d - w - 3*w + 488*w**4 - 8*w**2.
4*w*(w - 1)*(w + 1)**3
Suppose 6*u - 43 = 47. Find r, given that -18*r**2 + u*r**2 + 0*r**2 - 6*r = 0.
-2, 0
Let g = 548 + -546. Determine r, given that -6*r**3 - 44*r - 42*r**2 - 14*r**3 + 2*r**g + 25*r**3 - 16*r + 5*r**4 = 0.
-2, 0, 3
Let b(p) be the second derivative of p**6/195 + 69*p**5/130 - 71*p**4/39 + 179*p + 6. Factor b(y).
2*y**2*(y - 2)*(y + 71)/13
Let j = 1/28813 - -605069/115252. Let s(v) be the first derivative of 3*v**2 + 9*v**3 + j*v**4 + 39 + 0*v. Solve s(t) = 0.
-1, -2/7, 0
Let p(b) = b**3 + 3*b**2 - 12*b - 7. Let v be 51/(-9) + 1 + (-8)/24. Let l be p(v). Find y, given that 29*y - 4*y**3 - 19*y + 2*y**l + y**2 + 6 + y**2 = 0.
-1, 3
Factor -2/19*x**3 + 0 - 10/19*x**2 + 48/19*x.
-2*x*(x - 3)*(x + 8)/19
Let d = -29 - -29. Suppose 2*w - 8 = -d. Factor 217*q**w - 5*q + q - 10*q**2 - 215*q**4 - 6*q**3 + 2*q**5.
2*q*(q - 2)*(q + 1)**3
Let c(n) be the first derivative of -4*n**5/5 + 360*n**4 + 1444*n**3/3 - 2726. Find s, given that c(s) = 0.
-1, 0, 361
Suppose 79/3*t - t**4 + 17/3*t**3 + 27*t**2 + 6 = 0. Calculate t.
-2, -1, -1/3, 9
Let h = -368961 + 368963. What is l in 0 - 8/17*l**3 + 0*l - 2/17*l**4 + 24/17*l**h = 0?
-6, 0, 2
Let h(g) be the first derivative of g**3/15 + 12*g**2/5 + 812. Suppose h(z) = 0. What is z?
-24, 0
Let d be (-161500)/(-260) + (-4)/26 + -2. Factor 6*c**4 - 619 + 12*c + 2*c**5 + d - 6*c**3 - 14*c**2.
2*c*(c - 1)**2*(c + 2)*(c + 3)
Let k(s) be the third derivative of -s**7/70 - 31*s**6/40 - 3*s**5/2 - 364*s**2. Factor k(h).
-3*h**2*(h + 1)*(h + 30)
Solve -255*t**2 - 202*t**2 - 167*t**4 - 132 + 392*t + 73*t**2 + 171*t**4 + 120*t**3 = 0 for t.
-33, 1
Let b(a) be the second derivative of -a**5/20 - 71*a**4/36 - 61*a**3/2 - 459*a**2/2 - 11102*a. Find u such that b(u) = 0.
-9, -17/3
Let t(x) be the second derivative of -x**5/20 - 5*x**4/3 + 23*x**3/3 + 47*x**2/2 - 27*x - 2. Let v be t(-22). Factor 2*h**2 - 2*h - 2/3*h**v + 2/3.
-2*(h - 1)**3/3
Let b = 217709 - 1523947/7. Factor -12/7*o**2 + 4/7*o**3 - b*o + 0.
4*o*(o - 4)*(o + 1)/7
Suppose 136 = -30*k + 98*k. Let m(n) be the first derivative of 48/5*n**3 + 4/25*n**5 + 0*n**2 + 12/5*n**4 - k + 0*n. Determine y, given that m(y) = 0.
-6, 0
Let u be 4*5*(3 - (-12)/(-5))*19/114. Factor 0 - 3/2*c**4 + 6*c - 3/2*c**5 + 27/2*c**3 - 33/2*c**u.
-3*c*(c - 1)**3*(c + 4)/2
Suppose -359 = -75*x - 359. Suppose 11 + 4 = 5*v. Suppose x*n - 2/13*n**5 + 0*n**2 + 0 - 4/13*n**4 + 0*n**v = 0. What is n?
-2, 0
Let y be (22 + -1)*(-2)/3. Let s be (6/7)/((-4)/y). Factor -4 + b**3 - 9*b**2 + s*b**3 + 5*b + 7*b - 3*b**2.
4*(b - 1)**3
Find l, given that 0 - 4/3*l**3 + 10/3*l**2 - 2/3*l**4 + 4*l = 0.
-3, -1, 0, 2
Let v(q) be the third derivative of -q**5/300 + 77*q**4/20 - 459*q**3/10 + 193*q**2 - 2*q. Factor v(f).
-(f - 459)*(f - 3)/5
Let x(r) be the first derivative of -49*r**4 - 728*r**3/3 + 320*r**2 + 3200*r + 909. Factor x(z).
-4*(z - 2)*(7*z + 20)**2
Suppose 0 = -2*k - j + 5, -3*j - j = 2*k - 2. Let i be -2 - 74/(-4) - 1/2. Factor 5*c**2 + 3*c**k + c**2 + i*c - 13*c.
3*c*(c + 1)**2
Let s(t) = -t**2 - 9*t - 9. Let l be s(-2). Let c(r) = -4*r**2 + 19*r + 149. Let i(w) = w**2 + w - 1. Let p(o) = l*i(o) + c(o). What is u in p(u) = 0?
-12
Let q(a) be the firs