ose -k*o - 6 = -6*o. Factor -3*n**4 - n**4 - 3*n**2 - 23*n**3 + 28*n**o + n**5 + n**2.
n**2*(n - 2)*(n - 1)**2
Let q(m) be the first derivative of -100 + 1/15*m**3 - 3/5*m**2 + 8/5*m. Factor q(p).
(p - 4)*(p - 2)/5
Let v = -556940 + 556952. Suppose -10*x + 1/2*x**3 + v + x**2 = 0. Calculate x.
-6, 2
Let c(k) be the first derivative of -5*k**3/3 - 365*k**2 - 26645*k - 973. Suppose c(z) = 0. Calculate z.
-73
Let k(m) be the first derivative of 0*m**2 + 1/12*m**4 - 28 - 1/120*m**6 - 15*m + 1/80*m**5 - 1/6*m**3. Let u(g) be the first derivative of k(g). Factor u(v).
-v*(v - 2)*(v - 1)*(v + 2)/4
Solve -373/2*m + 560/3 - 1/6*m**2 = 0 for m.
-1120, 1
Factor q**3 - 1560*q**2 + 6237/4*q - 1559/4.
(q - 1559)*(2*q - 1)**2/4
Let m(w) = -w**3 + 300*w**2 - 5626*w + 7300. Let o be m(280). Find z, given that 19 - o*z - 1/4*z**3 + 23/4*z**2 = 0.
2, 19
Suppose 4*d + x + 18096 = 0, 3*x + 64 = -2*d - 8974. Let f be (-1086)/d*(-1 + (-8)/(-3)). Factor f*n - 1/5*n**4 + 1/5 - 2/5*n**3 + 0*n**2.
-(n - 1)*(n + 1)**3/5
Let n be (-45)/((-1575)/10) - (-2 + 1632/(-364)). Let 18/13*t**3 - 2/13*t**4 - 48/13 - 60/13*t**2 + n*t = 0. What is t?
2, 3
Let m be (4 + -4)*1/3. Suppose 0 = i + 4*t - 0*t - 53, m = 5*t - 20. Factor -i + p**2 + 2*p + 37 - 3*p**2.
-2*p*(p - 1)
Suppose -b + 3 + 0 = 2*q, 5*q = -5*b. Suppose -f - 3 = 3*s, f - 5*f + 39 = -5*s. Factor q*n - f*n - 6 + 0*n + 3*n**2.
3*(n - 2)*(n + 1)
Let f = -1/165 - -199/165. Let n be (8280/(-24150))/((-198)/77). Factor f + 0*o - n*o**2.
-2*(o - 3)*(o + 3)/15
Let n(c) = -9*c**2 + 160*c - 67. Let o(r) = 9*r**2 - 159*r + 63. Let v(k) = -3*n(k) - 4*o(k). Solve v(p) = 0.
1/3, 17
Let r(c) be the first derivative of -1/4*c**3 + 1/8*c**2 + 3/4*c - 1/16*c**4 + 6. Factor r(x).
-(x - 1)*(x + 1)*(x + 3)/4
Let v be -6 - 967 - 2/(-1). Let j = v - -4903/5. Let -21/5*s**4 - 24/5*s**2 + 3/5*s**5 + j*s**3 + 48/5 - 48/5*s = 0. What is s?
-1, 2
Let o(l) be the first derivative of 0*l + 14/3*l**3 - 1/120*l**6 + 0*l**4 + 0*l**2 - 1/20*l**5 + 5. Let u(g) be the third derivative of o(g). Factor u(x).
-3*x*(x + 2)
Suppose -139*g + 268*g - 1180*g**4 + 324*g - 4*g**5 + 276*g**2 + 3564*g**3 + 739*g - 3848*g**2 = 0. Calculate g.
-298, 0, 1
Suppose -4*q - 5*s = -33, -5*q - 5*s + 87 = 52. Let w(b) be the second derivative of -b**3 - 1/6*b**4 - 2*b**q - 4*b + 0. Factor w(p).
-2*(p + 1)*(p + 2)
Let f(p) be the third derivative of -2/7*p**3 - 1/14*p**4 + 1/280*p**6 + 0*p + p**2 + 1/140*p**5 - 14. Solve f(u) = 0 for u.
-2, -1, 2
What is f in -10144*f**2 - 205*f - 656*f**3 + 846*f**4 + 31309*f - 28*f**5 - 4466 - 306*f**4 - 13904*f**2 - 2446 = 0?
-6, 2/7, 1, 12
Let -15*r**2 - 128 + 20*r**2 + r**2 + 1990*r - 14*r**2 + 626 = 0. What is r?
-1/4, 249
Let y = 6755 - 6751. Let l(r) be the first derivative of -1/10*r**y + 8/15*r**3 - 36/5*r + 3/5*r**2 - 15. Solve l(u) = 0.
-2, 3
Let j = 62 - 44. Let b be 20/(-55)*(-33)/j. Let 8/3*v**3 - 10/3*v**4 + 32/3 - 64/3*v + b*v**5 + 32/3*v**2 = 0. Calculate v.
-2, 1, 2
Let w = -526494 - -526497. Suppose 0 - 48/5*l**2 + 148/5*l**4 - 128/5*l**w + 28/5*l**5 + 0*l = 0. Calculate l.
-6, -2/7, 0, 1
Factor -2/9*j**4 + 0 + 12716/9*j - 8/3*j**3 + 102*j**2.
-2*j*(j - 22)*(j + 17)**2/9
Let i = 564/107 + -63721/12840. Let a = i - -7/24. Find p, given that -3/5*p**2 - a + 6/5*p = 0.
1
Let u(t) be the third derivative of -t**7/70 + t**6/8 + 3*t**5/20 - 45*t**4/8 + 27*t**3 - 9*t**2 - 90*t. Find v, given that u(v) = 0.
-3, 2, 3
Suppose 0 = 2*w - 8, w - 2*w + 6 = l. Let s(j) = -j**3 + 4*j**2 - 6*j + 6. Let z be s(2). What is a in 32 + 3*a**2 + 17*a**2 - a**l - 88*a + a**z = 0?
2/5, 4
Let n be ((-12)/(-123))/((-160)/(-656)) + ((-106316)/(-110) - -2). Factor -2/11*y**2 + 292/11*y - n.
-2*(y - 73)**2/11
Let w(k) be the first derivative of -55*k**3/3 + 45*k**2 - 430*k + 21. Let c(o) = 2*o**2 + 1. Let v(d) = 25*c(d) + w(d). Determine p so that v(p) = 0.
9
Let m(r) be the second derivative of 40/3*r**3 + 0 - 10*r + 3*r**4 + 8*r**2. Factor m(d).
4*(d + 2)*(9*d + 2)
Solve 3/2*j**4 + 0 + 9/8*j**3 - 3/2*j + 3/8*j**5 - 3/2*j**2 = 0.
-2, -1, 0, 1
Let k(b) = 2*b**3 - 2*b - 1. Let h(d) = -19*d**3 - 1064*d**2 - 21683*d + 3365. Let l(y) = -2*h(y) - 6*k(y). Find i such that l(i) = 0.
-41, 2/13
Let n = 5/39513 - -26327/118539. Factor 1/9*z**3 - 4/9*z**2 - n + 5/9*z.
(z - 2)*(z - 1)**2/9
Suppose g - 29 = -0*g. Suppose -3*h + 5*y = -g, 22 = 2*h + y - 5*y. Factor 6*n - 4*n**2 - 6*n**3 + 0*n**2 + 1 + h + 0*n**2.
-2*(n - 1)*(n + 1)*(3*n + 2)
Let i be 62*(((-254)/889 - (-1)/(-21)) + 0 + 1). Solve -4/3*w**2 - 40*w + i = 0 for w.
-31, 1
Factor -2 - 1/4*u**2 + 3/2*u.
-(u - 4)*(u - 2)/4
Let n(t) be the first derivative of 32/5*t**5 + 0*t + 0*t**2 - 13*t**4 - 2/3*t**6 + 94 + 8*t**3. Factor n(o).
-4*o**2*(o - 6)*(o - 1)**2
Let w(v) be the second derivative of 0 - 1/3*v**4 + 1/7*v**7 - 52*v - 1/3*v**3 + 0*v**2 + 47/60*v**6 + 43/40*v**5. Find h, given that w(h) = 0.
-2, -1/4, 0, 1/3
Let s(j) be the second derivative of j**6/39 - 3*j**5/130 - 7*j**4/78 + j**3/13 + 2*j**2/13 + 2711*j. Suppose s(t) = 0. Calculate t.
-1, -2/5, 1
Suppose 4*h = 5*l - 14, 4*h + 2*l - 5*l + 2 = 0. Let k(y) be the second derivative of 0*y**2 + 0*y**3 + 0*y**5 + 1/105*y**6 + 22*y - 1/42*y**h + 0. Factor k(f).
2*f**2*(f - 1)*(f + 1)/7
Let m be (1 - 1)/(38/(-38)). Let s be 2*6/4 + m. Factor 0 + 2/3*v**s + 2/3*v**2 + 0*v.
2*v**2*(v + 1)/3
Let k(z) = 48*z**2 + 1125*z + 315. Let o(j) = 51*j**2 + 1136*j + 315. Let y(f) = 7*k(f) - 6*o(f). Factor y(a).
3*(a + 35)*(10*a + 3)
Let b = 13796 - 68974/5. Factor -27/5*q**2 + b + 17/5*q + 4/5*q**3.
(q - 6)*(q - 1)*(4*q + 1)/5
Let c(m) be the second derivative of 1/3*m**3 - 1/36*m**4 + 5*m - 3/2*m**2 + 6. Determine l, given that c(l) = 0.
3
Let s = -123371 + 8883043/72. Let u = s + -38/9. Factor 3/8*m + 3/8*m**2 - 3/8*m**3 + 0 - u*m**4.
-3*m*(m - 1)*(m + 1)**2/8
Suppose -3*s - 3*q = 0, 2*s = 2*q - 6*q - 8. Let j be (-295)/236 + 7/s. Solve -j*u**4 + 0 + 2*u**2 - u**3 + 4*u = 0 for u.
-2, 0, 2
Let c = -151 - -121. Let g = c + 100. Let -73*m**3 + 10*m - 5*m**2 - g*m**3 + 138*m**3 = 0. Calculate m.
-2, 0, 1
Let l be (-1116)/1302*14/(-22). Let i(r) be the first derivative of -l*r + 2/11*r**3 + 1/11*r**2 - 1/22*r**4 + 16. Let i(j) = 0. Calculate j.
-1, 1, 3
Let z(c) = -8*c**3 - 2*c**2 - 2*c - 1. Let y be (2/(8 - 0))/(45/(-180)). Let i be z(y). Determine h, given that i*h + h**2 + 0 + 3 - 11 = 0.
-8, 1
Suppose a = 1, i + 18 = 5*a + 13. Let f(y) be the first derivative of 1/2*y**4 + 20 + i*y**3 - 3/5*y**5 + 0*y**2 + 0*y. Factor f(m).
-m**3*(3*m - 2)
Factor -331*v**3 - 64*v + 327*v**3 - 25*v**2 - 43*v**2.
-4*v*(v + 1)*(v + 16)
Factor -57/4*l**2 + 1/4*l**3 + 0 - 29/2*l.
l*(l - 58)*(l + 1)/4
Let n(c) = -95*c - 6362. Let w be n(-67). Suppose 0 = 4*f + 5*g + 5 + 2, -3*g - 7 = f. Find v, given that w*v + 5*v - 5 + 17*v - 20*v**f = 0.
1/4, 1
Let z(o) be the second derivative of o**5/150 + o**4/6 + 16*o**3/15 + 44*o**2/15 - 2*o + 73. Factor z(n).
2*(n + 2)**2*(n + 11)/15
Suppose 133 + 559 = 2*u. Suppose 0 = -12*l - u + 1210. Factor 60*x**3 + 72 - l + 8*x**2.
4*x**2*(15*x + 2)
Let c = 422 + -396. Suppose c*i**2 - 55*i**2 + 23*i**2 + 3*i**3 - 12*i + 24 = 0. What is i?
-2, 2
Let f(h) = 5*h**2 - 8*h - 2. Let q(i) = -i**2 + 22*i - 1. Let v be q(15). Let y(l) = 201 + 7*l - 94 - v - 5*l**2. Let j(b) = -3*f(b) - 2*y(b). Factor j(m).
-5*m*(m - 2)
Let m(z) be the first derivative of 0*z - 2/3*z**3 + 4/3*z**4 - 1/6*z**2 - 116. Let m(f) = 0. Calculate f.
-1/8, 0, 1/2
Factor -78*t + 1203 + 40*t**2 + 46*t**2 - 1211.
2*(t - 1)*(43*t + 4)
Let z be (27/(-13) - -2) + 6/(4992/11920). Factor 3/4*m**4 + 60*m**2 + 0 - z*m**3 + 75*m.
3*m*(m - 10)**2*(m + 1)/4
Let w = -8672 - -8672. Let c(i) be the second derivative of 32*i + 1/21*i**4 + 1/21*i**3 + 0 + w*i**2 + 1/70*i**5. Factor c(g).
2*g*(g + 1)**2/7
Let v = 2683/1652 - -291/236. Determine c, given that v + 2/7*c**3 - 2/7*c - 20/7*c**2 = 0.
-1, 1, 10
Suppose -3*r = -3 + 9. Let g be -9 - -9 - (-10)/5. Let x(y) = y**2 - y + 1. Let j(f) = 3*f**2 + 15*f + 1. Let a(z) = g*j(z) + r*x(z). Factor a(d).
4*d*(d + 8)
Let w(c) = -9*c**2 + 16*c + 58. Let b be w(9). Let v = 530 + b. Factor 2/23*a**v - 2/23*a + 2/23*a**2 - 2/23.
2*(a - 1)*(a + 1)**2/23
Let t(n) be the first derivative of 0*n - 141 + 9/2*n**6 - 72/5*n**5 - 51/4*n**4 + 20*n**3 + 18*n**2. Suppose t(q) =