4*t - 4*m + 476 + 1872 = 0, -t - 5*m = 557. Let c = 584 + t. Factor 3 - 15/4*o**c - 6*o.
-3*(o + 2)*(5*o - 2)/4
Let a(f) = -137*f**2 - 301*f - 260. Let o(q) = 114*q**2 + 300*q + 266. Let v(i) = 5*a(i) + 6*o(i). Find p, given that v(p) = 0.
-1, 296
Let j(v) be the first derivative of 7*v**5/10 - 31*v**4 + 287*v**3/3 - 108*v**2 + 99*v/2 + 5276. Let j(h) = 0. Calculate h.
3/7, 1, 33
Let d(r) be the second derivative of 100*r**2 + 11/6*r**4 + 0 + 217*r - 70/3*r**3 - 1/20*r**5. Factor d(t).
-(t - 10)**2*(t - 2)
Let c = -10645 + 10671. Let p(a) be the second derivative of 8/5*a**2 + 0 - 2/5*a**3 + 1/30*a**4 - c*a. Factor p(q).
2*(q - 4)*(q - 2)/5
Let f(n) be the third derivative of -n**5/210 - 31*n**4/21 + 512*n**3/21 + 4*n**2 + 547*n + 1. Find l such that f(l) = 0.
-128, 4
Let d = 403/2156 + -1/196. Let r(w) be the first derivative of 10/33*w**3 + d*w**2 + 0*w + 2/55*w**5 + 2 + 2/11*w**4. Let r(b) = 0. Calculate b.
-2, -1, 0
Suppose 2*a + 10*o = 46, -2*a + 16 = 2*o + 2. Let f(t) be the first derivative of 6*t**2 - 3*t**3 - 3/5*t**5 + 12*t - a*t**4 + 10. Factor f(l).
-3*(l - 1)*(l + 1)*(l + 2)**2
Suppose 0 = 18*n + 17 + 55. Let z be -16*(2 + n) - (-5 + 1). Factor -5*j**3 + j**3 - 28*j**2 + z*j**2 - 4*j.
-4*j*(j - 1)**2
Let l(j) be the second derivative of j**6/80 - 3*j**5/160 - 3*j**4/16 + j**3/4 + 3*j**2/2 - 3256*j. Factor l(r).
3*(r - 2)**2*(r + 1)*(r + 2)/8
Suppose 0 = 4166*w - 24156 + 1608 - 2448. Solve 5/2*a + 1/4*a**2 - w = 0 for a.
-12, 2
Let q = 197/4 + -49. Let m(u) = 33498*u + 167490. Let l be m(-5). Factor 1/4*j**2 + l + q*j.
j*(j + 1)/4
Suppose -6 - 45 - 17 + 4*m**2 + 17*m - 36 - 61*m = 0. What is m?
-2, 13
Let r(m) = 18*m + 10. Let c be r(1). Factor -88*j + c*j**4 - 24*j - 24*j**2 + 43*j**3 + 32 + 33*j**3.
4*(j - 1)*(j + 2)**2*(7*j - 2)
Let q(g) be the first derivative of 6 + 65/12*g**4 + 1/6*g**6 + 5/2*g**5 + 90*g**2 - g - 50*g**3. Let v(y) be the first derivative of q(y). Factor v(a).
5*(a - 1)**2*(a + 6)**2
Let a(v) = 4*v**2 - 9*v - 13. Let w be a(-2). Let y be 13 - 2 - (w/(-7) - -6). What is b in 16/5 + 94/5*b**3 - 84/5*b**2 + 8/5*b - y*b**4 + 6/5*b**5 = 0?
-1/3, 1, 2
Let w(q) be the first derivative of q**6/2160 - q**4/36 - 55*q**3/3 - 35. Let s(u) be the third derivative of w(u). Find m such that s(m) = 0.
-2, 2
Let t(y) = 81*y - 50. Let h be t(-4). Let b = h + 377. Let 0*m**b + 0 - 9/8*m**2 + 3/8*m**4 - 3/4*m = 0. What is m?
-1, 0, 2
Let u = -11 - -14. Let q(x) = 132*x - 39*x**u - 51*x - 26 + 2. Let i(v) = -11*v**3 + 23*v - 7. Let z(h) = -18*i(h) + 5*q(h). Solve z(j) = 0.
-2, 1
Let p(n) = -18*n**3 + 206*n**2 + 184*n. Let q(j) = -16*j**3 + 206*j**2 + 186*j. Let f(s) = 9*p(s) - 10*q(s). Factor f(i).
-2*i*(i + 1)*(i + 102)
Suppose -q + 6*q - 8 = -p, -8 = -q + 3*p. Factor 16*i - 26 - 3*i**2 + 0*i**2 + 7*i**q - 22.
4*(i - 2)*(i + 6)
Suppose 5190 = 78*c + 5190. Factor 2/15*g**4 + 0 + 4/15*g**2 - 2/5*g**3 + c*g.
2*g**2*(g - 2)*(g - 1)/15
Let u(p) be the third derivative of p**6/60 - 3*p**5/2 + 41*p**4 - 812*p**3/3 + 12102*p**2. Factor u(g).
2*(g - 29)*(g - 14)*(g - 2)
Determine p so that 17*p + 0 + 1/6*p**2 = 0.
-102, 0
Let k be ((-1344)/15)/((-10)/(40 + 10)). Let u = k + -2687/6. Let d - 5/6 - u*d**2 = 0. What is d?
1, 5
Suppose -24 + 1/2*y**2 - y = 0. What is y?
-6, 8
Suppose -85*g + 48*g = 333*g - 6*g + 130*g. Factor -4/3*d**2 - 1/3*d**3 + 5/3*d + g.
-d*(d - 1)*(d + 5)/3
Let h(y) be the second derivative of y**4/4 - 125*y**3/2 - 189*y**2 - 93*y - 6. Factor h(x).
3*(x - 126)*(x + 1)
Let y = -2101 + 1117. Let w = -981 - y. Determine k so that 12/7 + 72/7*k**w + 142/7*k**2 + 82/7*k = 0.
-1, -3/4, -2/9
Let p(m) be the third derivative of 0*m**3 - 151*m**2 - 1/40*m**6 - 1/4*m**5 + 0 + 3/112*m**8 + 0*m - 1/4*m**4 + 1/14*m**7. Let p(j) = 0. Calculate j.
-1, -2/3, 0, 1
Let s(u) = u**2 + 12*u + 15. Let c be s(-11). Let y be (4/12)/(c/36). Solve 151*r - 157*r - 4*r**2 - 5*r**2 + y*r**4 = 0.
-1, 0, 2
Let v be (-324)/24 - (-57130)/4060. Let s be (-1)/((-2)/6 - 0). Determine x so that 12/7*x - v*x**s + 2/7*x**2 - 9/7 - 1/7*x**4 = 0.
-3, 1
Suppose -42*l - 3*d + 4 = -40*l, -5*l + 56 = -4*d. Let g(u) be the first derivative of 8/3*u**3 - l*u**2 + u**4 - 32*u + 9. Solve g(a) = 0.
-2, 2
Suppose 4*d = s - 479, -7*s + 6*s + 500 = 3*d. Let i = -1471/3 + s. Factor -i*a**2 + 4 + 2/3*a.
-2*(a - 3)*(a + 2)/3
Let i(n) be the second derivative of n**4/42 + 274*n**3/21 - 552*n**2/7 + 5650*n. Factor i(d).
2*(d - 2)*(d + 276)/7
Let u be 13 - (-4038)/(-414) - 14/(-161). Solve -8*c - 12*c**4 + 0 - u*c**5 + 2*c**3 + 64/3*c**2 = 0.
-3, -2, 0, 2/5, 1
Let o(x) be the third derivative of -1/16*x**4 + 0*x - 1/40*x**5 + 1/2*x**3 + 39*x**2 - 2. Find f, given that o(f) = 0.
-2, 1
Let -2/9*r**2 + 112*r - 14112 = 0. Calculate r.
252
Let v(t) = t**3 + 11*t**2 + 18*t + 2. Let l be v(-8). Let c be l + (-9 - 24/(-6)). Determine p so that 6*p**2 - 14*p**3 + c*p**3 - 29*p**3 - 8 = 0.
-2, 1
What is z in -715*z**3 + 30*z - 40 - 716*z**3 + 1426*z**3 + 15*z**2 = 0?
-2, 1, 4
Let y(z) be the third derivative of 5*z**8/42 + 2*z**7/7 - z**6/12 - 11*z**5/12 - 5*z**4/4 - 5*z**3/6 + 3*z**2 + 72. Factor y(g).
5*(g - 1)*(g + 1)*(2*g + 1)**3
Let a(l) be the third derivative of 2*l + 5*l**2 + 0 + 0*l**3 + 1/12*l**4 + 1/6*l**5. Determine k so that a(k) = 0.
-1/5, 0
Let y = -269/2 + 406/3. Let k(z) be the second derivative of 3*z**5 - y*z**3 + 25/42*z**7 + 0 + 7/3*z**6 - 20*z + 0*z**2 + 5/6*z**4. Solve k(o) = 0 for o.
-1, 0, 1/5
Let c(n) be the third derivative of n**7/1050 - 19*n**6/600 + 4*n**5/15 + 5*n**4/6 - 241*n**2 - 5*n + 2. Factor c(s).
s*(s - 10)**2*(s + 1)/5
Let r = 70992 + -70992. Factor r*u - 4/7*u**4 + 0 - 176/7*u**3 - 1936/7*u**2.
-4*u**2*(u + 22)**2/7
Let k(f) be the second derivative of -134*f + 1/20*f**5 - 8*f**2 + 0 + 11/2*f**3 - 3/2*f**4. Suppose k(t) = 0. What is t?
1, 16
Factor 8*y**2 + 24*y**2 - 2*y + 28*y**2 + 33*y + 25*y.
4*y*(15*y + 14)
Let k(t) = 2*t**3 - 7*t**2 - 11*t - 16. Let a be k(5). Factor 1304*p**3 + 2689*p**3 - 2*p**5 + 812*p**3 + 310*p**a + 7*p**5.
5*p**3*(p + 31)**2
Suppose 846*k - 547*k = -581*k + 1760. Factor -11/2*g + 0 + 21/4*g**k + 1/4*g**3.
g*(g - 1)*(g + 22)/4
Let v be (0 - (-11)/(11/30)) + 3. Suppose -v = -12*q - 9. Suppose 3*w**2 - 4 + 2*w**q + 5*w**3 - 3 - 5*w + 2 = 0. What is w?
-1, 1
Find h such that -25/9 - 2/9*h**3 - 53/9*h**2 - 76/9*h = 0.
-25, -1, -1/2
Let a = -17 + 20. Let p = -18/593 - -6685/5337. Solve 1/3*b**2 - p*b + 2/9*b**4 + 11/9*b**a - 5/9 = 0 for b.
-5, -1, -1/2, 1
Suppose -8*d + 18 = 2. Let y = -105 - -282. What is p in -215*p**5 - 299*p**d + 210*p**4 + 283*p**2 - 8*p + 56*p**4 + 150*p**3 - y*p**5 = 0?
-2/7, 0, 1/4, 1
Let s(k) = -k**3 + 11*k**2 + 27*k + 21. Let n be s(12). Factor n*v + 30*v**3 + 2*v**4 + 15*v + 0 + 0 + 144*v**2.
2*v*(v + 3)*(v + 6)**2
Let z(a) be the first derivative of -a**5/120 + a**4/36 + 5*a**3/36 - a**2/2 - 23*a - 77. Let q(c) be the first derivative of z(c). Factor q(m).
-(m - 3)*(m - 1)*(m + 2)/6
Let k(w) be the second derivative of 13/2*w**3 + 80*w + 0 - 18*w**2 - 1/4*w**4. Determine t, given that k(t) = 0.
1, 12
Let w be 3724/35 - (-6)/(-15). Solve 47*p + 138*p + 27 + w*p**2 - 46*p**2 - 12*p**3 - 8*p**4 + 21 - 57*p = 0 for p.
-2, -1/2, 3
Let -4319193*j + 4*j**3 + 68688993*j - 11628226*j + 263365531488 + 70482099*j + 48456*j**2 + 72441655*j = 0. Calculate j.
-4038
Let h(z) = 5*z**4 - 6*z**3 - 2*z**2 + 6*z - 1. Let b = 106 - 103. Let w(g) = 6*g**4 - 6*g**3 - 3*g**2 + 6*g. Let n(x) = b*h(x) - 2*w(x). Factor n(k).
3*(k - 1)**3*(k + 1)
Suppose -768/7*n**3 + 56*n**4 - 384/7 + 772/7*n - 8/7*n**2 - 4/7*n**5 = 0. What is n?
-1, 1, 96
Let y be ((-815)/400 - -2)/((-7)/112). Factor -12*g**2 + y*g**3 + 114/5 + 51/5*g.
3*(g - 19)*(g - 2)*(g + 1)/5
Let f(w) = -4*w**4 - w**2 - 4. Let z be -2*15/(-6) - 6. Let d(n) = n**4 + n**3 + 2*n**2 - n. Let g(y) = z*f(y) - 3*d(y). Factor g(u).
(u - 4)*(u - 1)*(u + 1)**2
Let b be ((4/(-6))/(-2))/(9/(-8046)). Let o be 18/5 + b/745. Determine m, given that 0 + o*m**2 - 4/5*m**3 - 12/5*m = 0.
0, 1, 3
Solve 110/3 - 26/3*c**2 - 83/3*c - 1/3*c**3 = 0 for c.
-22, -5, 1
Factor -56/5 - 10/3*c - 2/15*c**2.
-2*(c + 4)*(c + 21)/15
Let d = 844 + -481. Let k be ((-44)/d)/(4/(-6)). Let 2/11*w + 2/11 - k*w**3 - 2/11*w**2 = 0. What is w?
-1, 1
Let c(s) be the third derivative of 3*s**6/16 + 113*s**5/1