q**4 + 2/13*q - 6/13*q**m.
-2*q*(q - 1)**3/13
Suppose 8*u - 9 = 11*u, 0 = -2*q + 2*u + 156. Find r, given that 40*r + 571*r**3 - q*r**5 - 372*r**2 - 73*r**3 - 15*r**4 + 32*r = 0.
-3, 0, 2/5, 2
Let j(a) be the second derivative of -1/165*a**6 + 0*a**4 - 72*a + 0 + 0*a**2 - 1/55*a**5 + 0*a**3. Factor j(i).
-2*i**3*(i + 2)/11
Suppose w = 10*s - 11*s + 7, w = 2*s + 1. Let u(m) be the second derivative of -1/60*m**4 + 0*m**s + m - 2/15*m**3 + 0. Factor u(l).
-l*(l + 4)/5
Let s(l) = -2*l**3 + 270*l**2 + 2004*l - 2269. Let i be s(142). Determine o so that 9/5 - 24/5*o + 21/5*o**2 - 6/5*o**i = 0.
1, 3/2
Let x(q) be the second derivative of -q**5/20 + 5*q**4/3 - 17*q**3/6 - 19*q**2 - 123*q. Factor x(b).
-(b - 19)*(b - 2)*(b + 1)
Let y be (-6)/15 - 220/(-50). Factor 15*g**2 - 7*g**4 + 2*g**y + 8*g - 10*g - 8*g.
-5*g*(g - 1)**2*(g + 2)
Let k be 13/((-39)/18) + -5 + 13. Let u(h) be the third derivative of 0 + 2*h + 4*h**k - 1/300*h**5 + 1/240*h**4 + 0*h**3. What is p in u(p) = 0?
0, 1/2
Let y(f) be the first derivative of 1/22*f**4 - 8/11*f**3 - 128/11*f - 107 + 48/11*f**2. Factor y(g).
2*(g - 4)**3/11
Let r(i) be the second derivative of -i**5/4 - 15*i**4/2 - 135*i**3/2 + 1290*i. Factor r(t).
-5*t*(t + 9)**2
Let k(s) = 8*s + 10. Let m be k(0). Suppose 0*t + 2*t - m = 0, 3*l = t + 1. Factor 4*h**2 - h**2 - 4*h**5 - 16*h**4 - 9*h**l - 20*h**3 - 2*h**2.
-4*h**2*(h + 1)**2*(h + 2)
Let b(z) = 32*z**2 + 199*z - 1237. Let s(f) = 5*f**2 + 31*f - 206. Let q(t) = -2*b(t) + 13*s(t). Factor q(k).
(k - 12)*(k + 17)
Let r(g) = -322*g + 148*g + 164*g - g**2 + 58. Let t be r(-14). Factor -2*u + 8/7*u**3 - 10/7*u**t + 4/7.
2*(u - 2)*(u + 1)*(4*u - 1)/7
Let o(l) be the first derivative of 2/45*l**5 + 0*l**3 + 0*l**2 + 1/27*l**6 + 0*l - 1/9*l**4 + 13. Factor o(y).
2*y**3*(y - 1)*(y + 2)/9
Let y(i) = -2*i + 4. Let c be (4/8)/((-2)/32). Let s be y(c). What is k in -s*k**2 + 1 - 1 - 48*k - 16 = 0?
-2, -2/5
Let j(u) be the first derivative of u**4/6 - 8*u**3/3 + 29*u**2/3 - 12*u - 1643. Determine t, given that j(t) = 0.
1, 2, 9
Let i(l) be the second derivative of -1/60*l**5 + 1/378*l**7 - 99*l + 0 - 1/270*l**6 - 1/27*l**3 + 0*l**2 + 5/108*l**4. Let i(h) = 0. Calculate h.
-2, 0, 1
Let x be ((7 - 13) + (-2360)/(-354))/((-22)/(-18) + -1). Determine p, given that 1/2*p**x - 12 - 3/2*p**4 - 10*p + 13*p**2 = 0.
-3, -2/3, 2
Factor -24/7*v**2 - 12/7*v**4 + 26/7*v**3 + 8/7*v + 0 + 2/7*v**5.
2*v*(v - 2)**2*(v - 1)**2/7
Let t(o) be the second derivative of 1/4*o**4 - 96*o - 9/100*o**5 - 1/5*o**3 + 0*o**2 + 0. What is d in t(d) = 0?
0, 2/3, 1
Let x(m) be the second derivative of -2*m**7/21 + 4*m**6/15 + 29*m**5/5 - 10*m**4 - 913*m. Suppose x(j) = 0. Calculate j.
-5, 0, 1, 6
Suppose -13*o + 42 = 8*o. Determine v, given that 216*v + 3*v**3 - 1296 + 15*v**o + 4*v**2 + 44*v**2 = 0.
-12, 3
Suppose -33/5 + 1/5*h**3 + 19/5*h + 13/5*h**2 = 0. What is h?
-11, -3, 1
Let c = -168 + 95. Let z = c - -73. Factor z*t**4 - 6*t**4 + 7*t**4 - 4*t**2 + 2*t - t**3 + 2*t.
t*(t - 2)*(t - 1)*(t + 2)
Let g = 844726 - 4223623/5. Factor 12/5 + 1/5*x**2 + g*x.
(x + 3)*(x + 4)/5
Let q(o) be the third derivative of -2*o**7/105 + o**6/6 + 7*o**5/5 - 53*o**4/6 + 56*o**3/3 - 126*o**2 + 4. Factor q(g).
-4*(g - 7)*(g - 1)**2*(g + 4)
Determine l, given that 239*l**2 + 786*l**3 + 474*l + 1734 - 792*l - 1671*l - 581*l**2 + 306*l**4 - 522*l**2 + 27*l**5 = 0.
-17/3, -2, 1
Suppose -70 = 4*i + 3*i. Let f be (-30)/(-150) - 478/i. Determine n so that -100*n - 5*n**2 - f - 197 - 79 - 176 = 0.
-10
Factor -1938*c**2 + 954*c**2 + 16*c + 8*c + 934*c**2 + 8*c**3 - 10 + 28*c.
2*(c - 5)*(c - 1)*(4*c - 1)
Let h(z) be the second derivative of -1/5*z**5 + 0*z**3 + 0 + 0*z**2 + 2/3*z**4 + 1/60*z**6 - 86*z. Solve h(o) = 0 for o.
0, 4
Let l(s) be the first derivative of 3/14*s**4 - 8/7*s + 17/7*s**2 - 32/21*s**3 - 79. Find q such that l(q) = 0.
1/3, 1, 4
Let f = 25820 - 77458/3. Let p be (8/28)/(6/14). Factor -4/3 + f*l**2 + p*l.
2*(l - 1)*(l + 2)/3
Let q(c) be the first derivative of -5*c**6/3 - 1494*c**5/5 - 27673*c**4/2 + 11450*c**3 + 11250*c**2 - 5358. Solve q(j) = 0.
-75, -2/5, 0, 1
Let q be -3 - (-1 - -1 - -1)*-5. Let o(r) be the first derivative of -4*r**3 - 2*r**4 + 3*r - 6*r**q + r**4 + 2*r - 9*r + 21. Determine p, given that o(p) = 0.
-1
Let r be 0 - (0 - 1) - (-17 - -16). Find b, given that -347*b - 5*b**3 + 74*b + 1715 - 462*b + 82*b**r + 23*b**2 = 0.
7
Let l(p) be the third derivative of -p**9/90720 + p**8/10080 - p**6/270 + p**5/12 - p**4/8 - 14*p**2. Let t(d) be the third derivative of l(d). Factor t(k).
-2*(k - 2)**2*(k + 1)/3
Factor -1/2*o**3 + 0 + 873/2*o - 44*o**2.
-o*(o - 9)*(o + 97)/2
Factor 81*w**3 + 6976*w**2 - 4532*w + 103 + 3194*w**2 - 47 + 448.
(w + 126)*(9*w - 2)**2
Suppose d + 4*u - 2*u = 7, 2*u = 3*d - 53. Suppose d*x - 55 = 10*x. Factor 4*r - 10*r**2 + x*r**4 + 8*r**3 - 14*r**4 + r**4.
-2*r*(r - 2)*(r - 1)**2
Solve -5/2*i + 2*i**2 + 1 - 1/2*i**3 = 0 for i.
1, 2
Let p = 30283/144900 + -1/9660. Let h = -2/225 + p. Suppose 0 - 2/5*f**2 + h*f**3 + 1/5*f = 0. What is f?
0, 1
Let n(g) = g + 4. Let v be n(5). Suppose -1401 + 366 = -v*o. Factor 4*d**3 - 2*d**4 + o - 115.
-2*d**3*(d - 2)
Suppose 5*j - 17 = -5*y + 148, -4*j - 58 = -y. Let r = y - 36. Factor 0*p**r + 12*p**4 - p**4 - 5*p**2 - 6*p**4.
5*p**2*(p - 1)*(p + 1)
Let o(c) be the third derivative of -c**6/780 - 57*c**5/130 + c**2 - 866. Factor o(l).
-2*l**2*(l + 171)/13
Suppose -38*o + 56*o = 720. Let f be ((-35)/(-21))/(o/32). Factor 20/3*g**2 - 4*g**3 - 4/3*g - f.
-4*(g - 1)**2*(3*g + 1)/3
Let z(h) be the second derivative of -h**5/50 - 224*h**4/15 - 49268*h**3/15 + 204304*h**2/5 + 2570*h. Factor z(b).
-2*(b - 4)*(b + 226)**2/5
Let u(x) be the second derivative of -17*x + 4/7*x**2 + 1 - 1/84*x**4 + 1/6*x**3. Let u(d) = 0. Calculate d.
-1, 8
Let r(v) be the second derivative of 1/15*v**5 + 0*v**3 + 0*v**2 + 115*v - 2 + 8/3*v**4. Determine l so that r(l) = 0.
-24, 0
Determine r so that 0*r + 0 + 5/4*r**3 + 135/4*r**2 = 0.
-27, 0
Suppose -77*f - t = -83*f + 5, -6 = 4*f - 2*t. Solve -1/6*c**3 + 64/3 - 7/3*c**f - 16/3*c = 0.
-8, 2
Let v(k) be the second derivative of 11*k**7/280 + k**6/3 + 7*k**5/10 - 2*k**4 - 23*k**3/6 + 37*k - 1. Let u(g) be the second derivative of v(g). Factor u(q).
3*(q + 2)**2*(11*q - 4)
Suppose -g - 5*h + 27 = 0, -93*g + 98*g + h - 15 = 0. Factor -14/3*f**g - 1/3 - 5*f.
-(f + 1)*(14*f + 1)/3
Let t(h) be the second derivative of h**4/12 + 73*h**3/6 + 36*h**2 + 2*h + 236. Factor t(a).
(a + 1)*(a + 72)
Factor 9748*h**2 - 66381 - 11*h**4 - 158295 + 155472*h + 7*h**4 - 14222*h**2 - 24318*h**2 + 656*h**3.
-4*(h - 79)**2*(h - 3)**2
Let b(x) be the first derivative of 5/3*x**3 + 5/2*x**2 - 30*x + 15. Factor b(k).
5*(k - 2)*(k + 3)
Let q(r) be the second derivative of r**5/330 - 2*r**4/33 + 7*r**3/33 - 113*r**2/2 + 4*r + 15. Let m(z) be the first derivative of q(z). Factor m(c).
2*(c - 7)*(c - 1)/11
Let p(d) = -3*d**2 - 21*d. Let j = -56 - -58. Let l(c) = -34*c - 18*c - 2 + 2 - 8*c**j. Let f(v) = 5*l(v) - 12*p(v). Factor f(q).
-4*q*(q + 2)
Suppose 3943*t - 170 = 3909*t. Find v such that -8*v + 8/7*v**t - 16/7 - 38/7*v**4 + 44/7*v**2 + 38/7*v**3 = 0.
-1, -1/4, 2
Factor -38*m + 0 + 264/7*m**2 + 2/7*m**3.
2*m*(m - 1)*(m + 133)/7
Let f(z) be the first derivative of z**4/2 + 22*z**3/3 - 76*z**2 + 128*z - 280. What is k in f(k) = 0?
-16, 1, 4
Let p(k) be the first derivative of -15*k**2 - 108*k + 32/9*k**3 - 1/6*k**4 + 29. Determine o, given that p(o) = 0.
-2, 9
Find a, given that -304 - 104 - 28682*a**2 - 46*a + 28681*a**2 = 0.
-34, -12
Let u = -18506/15 + 1234. Let j(g) be the second derivative of -3/2*g**3 + 0*g**2 - u*g**6 - 7*g - 1/42*g**7 - 2*g**4 - 11/10*g**5 + 0. Factor j(o).
-o*(o + 1)**2*(o + 3)**2
Let i(l) be the first derivative of l**3/3 - l**2/2 - l + 27. Let z(v) = -9*v**2 + 25*v + 26. Let b(a) = 24*i(a) + 3*z(a). Let b(c) = 0. Calculate c.
-1, 18
Let i(g) be the second derivative of -4*g**7/63 + g**6/5 + g**5/12 - 5*g**4/9 + g**3/6 + g**2/3 + 975*g. Find d, given that i(d) = 0.
-1, -1/4, 1/2, 1, 2
Find o, given that 0 - 84*o + 314/5*o**2 - 2*o**3 = 0.
0, 7/5, 30
Determine a, given that 2/11*a**4 + 190/11*a + 474/11*a**2 + 74/11*a**3 - 2900/11 = 0.
-29, -5, 2
Suppose -5*z + 1855 = l, -5*z + 4*l + 680 + 1200 = 0. What is u in -3*u**4 + 160*u