ative of -27*g**2 + 9/8*g**4 - g**3 + 0*g - 7/20*g**n + 0. Suppose w(z) = 0. What is z?
2/7, 1
Suppose 8 = -2*u + 18. Find l, given that -3*l**5 + 5*l + 64*l**4 - 10*l**3 + 30*l**2 + 8*l**u - 79*l**4 - 15 = 0.
-1, 1, 3
Factor -8*g + 26476 + 13*g - 272*g**2 - 26476 + 5*g.
-2*g*(136*g - 5)
Let b(g) = -g. Let t(v) be the third derivative of -v**5/60 - v**4/12 + 8*v**2. Let l be ((-21)/(-4))/7*(-48)/(-18). Let c(r) = l*t(r) - 6*b(r). Factor c(k).
-2*k*(k - 1)
Let j be (-1416)/(-30) + (-2)/10. Suppose -j*m = -51*m + 12. Factor -m*u**4 + 3*u - u**3 + u**3 - 3*u**3 + 0*u**3 + 3*u**2.
-3*u*(u - 1)*(u + 1)**2
Let v(f) be the second derivative of 2*f**6/15 + 111*f**5/5 + 109*f**4/3 - 74*f**3 - 220*f**2 + 2*f - 32. Find q, given that v(q) = 0.
-110, -1, 1
Let l be ((-60)/180)/((-1)/(3*-13)). Let f be (-3)/10*(585/18)/l. Factor 0 + 3/4*p - f*p**5 + 3/2*p**4 + 0*p**3 - 3/2*p**2.
-3*p*(p - 1)**3*(p + 1)/4
Let s be ((-1392)/(-16704))/((-1)/(-36)). Let v = -15 + 107/7. Find p, given that -48/7*p - 18/7*p**2 - 32/7 - v*p**s = 0.
-4, -1
Let p be 11/4 - (-1)/4. Suppose -23*b + 19*b + 16 = 4*n, 8 = n - 3*b. Factor -m**3 + 1169*m - 1173*m + n*m**p.
4*m*(m - 1)*(m + 1)
Let s(p) be the second derivative of p**8/1344 + p**7/56 + 3*p**6/16 + 9*p**5/8 - p**4/6 + 4*p**2 + 23*p. Let g(z) be the third derivative of s(z). Factor g(w).
5*(w + 3)**3
Let g(a) = 8*a**2 - 5*a**3 + 5*a + 0 + 2 + 12*a**3 + 0*a**2. Let l(y) = 15*y**3 + 16*y**2 + 11*y + 5. Let z(t) = 5*g(t) - 2*l(t). Determine q so that z(q) = 0.
-1, -3/5, 0
Let t be (-8496)/(-1080) - (-6)/45. Let m(o) be the first derivative of t*o**3 + 27 + 7/2*o**4 - 4*o**2 + 2/5*o**5 - 32*o. Let m(b) = 0. Calculate b.
-4, -2, 1
Let v be 10/6*144/40. Suppose 5*s + 2*c = 0, -3*s + v*s + 5*c + 19 = 0. Determine q so that -1/4*q**s - 1/2*q - 1/4 = 0.
-1
Let i(r) be the third derivative of r**5/80 + 785*r**4/16 + 616225*r**3/8 - 105*r**2 - 2. Factor i(l).
3*(l + 785)**2/4
Let v(q) be the third derivative of q**5/20 + 119*q**4/4 + 14161*q**3/2 - 630*q**2. Factor v(r).
3*(r + 119)**2
Factor -55828620394*r**3 + 5306817753125*r**4 - 180615*r - 9 + 123627000*r**2 + 89 + 14001485394*r**3 + 18215*r.
5*(1015*r - 2)**4
Let l be 12/(-44) + (-4537)/143. Let p be (0 - -4)/(34 + l). Find g such that -2/13*g**p - 6/13 - 8/13*g = 0.
-3, -1
Let b(t) be the third derivative of t**8/35280 + 11*t**7/8820 - 9*t**5/4 - 15*t**2 - 1. Let g(y) be the third derivative of b(y). Factor g(l).
4*l*(l + 11)/7
Let k(z) be the first derivative of 0*z - 11/6*z**3 - 3/2*z**4 + 1/10*z**5 + 1/3*z**6 - 1/2*z**2 - 108. Let k(p) = 0. Calculate p.
-1, -1/4, 0, 2
Let f be (-14)/33600*-20*6/3. Let n(z) be the second derivative of -1/9*z**3 + f*z**5 + 1/36*z**4 - 17*z + 0 + 0*z**2. Let n(k) = 0. What is k?
-2, 0, 1
Factor 240/7 + 9*h + 3/7*h**2.
3*(h + 5)*(h + 16)/7
Let c(d) be the second derivative of d**7/840 + d**6/48 + d**4/4 - 2*d**2 - 3*d + 5. Let u(q) be the third derivative of c(q). Factor u(v).
3*v*(v + 5)
Factor -12*z**4 - z**4 - 11*z**4 - z**4 + 612*z + 913*z**3 + 1528*z**2 + 22*z**4.
-z*(z - 306)*(z + 1)*(3*z + 2)
Let p(k) be the second derivative of k**6/10 + 921*k**5/5 + 94861*k**4 + 751536*k**3 + 2247264*k**2 - 10*k + 140. Factor p(x).
3*(x + 2)**2*(x + 612)**2
Let o(v) be the third derivative of -v**7/42 + 11*v**6/6 - 91*v**5/6 - 625*v**4/6 - 455*v**3/2 + 2*v**2 + 1158*v. Factor o(z).
-5*(z - 39)*(z - 7)*(z + 1)**2
Let x(v) be the second derivative of v**6/60 - 11*v**5/20 + 19*v**4/3 - 104*v**3/3 + 96*v**2 + 397*v + 2. Suppose x(l) = 0. What is l?
2, 4, 12
Factor -2/11*q**2 + 18/11*q + 504/11.
-2*(q - 21)*(q + 12)/11
Let g(a) be the second derivative of a**7/4200 + 3*a**6/400 + 2*a**4 + a**2/2 + 44*a. Let d(f) be the third derivative of g(f). Factor d(l).
3*l*(l + 9)/5
Factor 20*k**4 - 172*k**3 + 70*k**2 + 77*k**3 + 7*k**5 + 2*k**5 - 4*k**5.
5*k**2*(k - 2)*(k - 1)*(k + 7)
Let h = 148585/24 - 6191. Let g(n) be the second derivative of 27*n - 1/80*n**5 - 1/48*n**4 + 0*n**2 + h*n**3 + 0 + 1/120*n**6. Factor g(r).
r*(r - 1)**2*(r + 1)/4
Suppose -2*u + 2*d = 2450, -35*u - 2*d + 1223 = -36*u. Let w = u - -6141/5. Suppose 14/3*n**2 + 4/3*n**3 + 16/5*n - w*n**4 - 8/15*n**5 + 8/15 = 0. What is n?
-2, -1, -1/4, 2
Let r = 645 - 645. Let o(u) be the third derivative of 0*u - 8/3*u**3 + 0 + 1/15*u**5 + u**2 + r*u**4. Determine h, given that o(h) = 0.
-2, 2
Suppose -1503 + 46 = -31*i. Find g, given that -3*g**2 - 2*g**2 + i*g - 57*g = 0.
-2, 0
Let p(s) be the second derivative of -s**7/630 + s**5/60 + s**4/36 - 19*s**2/2 - 109*s. Let m(f) be the first derivative of p(f). Solve m(q) = 0 for q.
-1, 0, 2
Let x(p) be the third derivative of p**7/840 - 117*p**6/160 + 349*p**5/80 - 1045*p**4/96 + 29*p**3/2 - 2291*p**2. Factor x(y).
(y - 348)*(y - 1)**3/4
Let d(c) = -c**3 + 339*c**2 - 3594*c - 4583. Let m be d(328). Factor 12 + 3/2*j**2 - m*j.
3*(j - 4)*(j - 2)/2
Let f(h) be the third derivative of -441/8*h**4 + 4*h + 0 - 3087/2*h**3 - 1/120*h**6 - 21/20*h**5 - 22*h**2. Let f(s) = 0. Calculate s.
-21
Suppose -5*b - 2*w - 31 + 17 = 0, -b - 6 = 2*w. Let j be (-325)/(-25)*b/(-13). Factor 2/3 + 29/9*n + n**3 + 4*n**j.
(n + 3)*(3*n + 1)*(3*n + 2)/9
Let z(d) be the third derivative of -d**6/120 + 2*d**5/15 + 121*d**4/24 + 56*d**3/3 + 3699*d**2. Factor z(n).
-(n - 16)*(n + 1)*(n + 7)
Let j = -177 + 199. Factor -12*k**3 + 4*k**3 - 5*k**4 + 11*k**3 - 20*k**2 + j*k**3.
-5*k**2*(k - 4)*(k - 1)
Suppose 2*n = -2*n - 60. Let m be n/(-40) + 9/72. Let 9/4*y - m - 7/4*y**2 = 0. Calculate y.
2/7, 1
Let j(m) be the first derivative of -m**5/5 - 2*m**4/3 + 2*m**3/3 + 4*m**2 - 9*m - 44. Let k(u) be the first derivative of j(u). Factor k(w).
-4*(w - 1)*(w + 1)*(w + 2)
Let j(u) be the third derivative of -1/2*u**4 + 0 - 40*u**2 + 0*u + 1/75*u**5 - 32/15*u**3. Find p, given that j(p) = 0.
-1, 16
Solve -3*r**4 - 1026*r + 12*r**3 + 2583*r**2 - 12201 + 6029 + 25314*r - 20708 = 0 for r.
-16, 1, 35
Suppose 624/7 - 80/7*t - 4/7*t**2 = 0. Calculate t.
-26, 6
Let w(c) = 67*c + 3622. Let h be w(-54). Let s(a) be the second derivative of 1/24*a**h + 1/4*a**3 + 3*a + 1/2*a**2 + 0. Let s(o) = 0. Calculate o.
-2, -1
Let p(l) be the second derivative of 1/250*l**5 + 0 - 37*l + 16*l**3 - 2/5*l**4 - 320*l**2. Suppose p(c) = 0. What is c?
20
Let a(g) be the third derivative of 7*g**5/20 - 59*g**4/8 - g**2 + 5*g. Let x(y) = 5*y**2 - 44*y. Let f(j) = -2*a(j) + 9*x(j). Find n, given that f(n) = 0.
0, 14
Determine a so that 70/13*a**2 + 646/13*a + 2/13*a**3 + 578/13 = 0.
-17, -1
Let m be 20/(-11) - 26/143. Let f be 1*m*(-18 + 16) + 1. Let 569*g**3 + 24*g**2 - 557*g**3 - 2*g**4 - 4*g**4 - 3*g**f = 0. What is g?
-2, 0, 2
Factor 0 + 0*u + 0*u**4 + 8/3*u**3 + 0*u**2 - 2/3*u**5.
-2*u**3*(u - 2)*(u + 2)/3
Let z(y) = y**3 + 2. Let t be z(0). Suppose 0 = k + 3*k + c + 2, -t = -3*k + c. Factor 0*l + 0 + 0*l**2 + k*l**3 - 3/4*l**4 + 3/8*l**5.
3*l**4*(l - 2)/8
Let m = 37447/1547 - -781/119. Factor 32/13*i**3 - 180/13*i**2 - 250/13 + m*i - 2/13*i**4.
-2*(i - 5)**3*(i - 1)/13
Let s = -495 + 500. Suppose s*w + 27*y - 22*y - 25 = 0, 12 = 4*y. Factor 0*d**w - 4/5*d**3 + 0*d**4 + 2/5*d**5 + 2/5*d + 0.
2*d*(d - 1)**2*(d + 1)**2/5
Solve 1/8*u**2 + 331/8*u - 83/2 = 0.
-332, 1
Let v(l) be the second derivative of -l**7/420 + l**6/60 + 28*l**3 + 24*l + 1. Let w(u) be the second derivative of v(u). Factor w(b).
-2*b**2*(b - 3)
Let k be (-19 - (-19290)/990)*(-6 + 3 - -6). Suppose -4/11*z**2 + 24/11*z + 2/11*z**4 - 6/11*z**3 - k = 0. Calculate z.
-2, 1, 2
Factor 632*h**4 - 1133*h**2 + 588*h - 16575*h**3 + 12 + 11487*h**2 + 4993*h**4 + 1 - 5.
(h - 2)*(h - 1)*(75*h + 2)**2
Let t(z) be the first derivative of -z**7/10 + z**6/8 + 4*z**5/5 + z**4/2 + z**2/2 - 58*z + 32. Let f(o) be the second derivative of t(o). Factor f(v).
-3*v*(v - 2)*(v + 1)*(7*v + 2)
Suppose 28 + 8 = s. Suppose -s - 4*q**2 + 2*q**2 - q**2 - 22*q - 2*q = 0. What is q?
-6, -2
Suppose -31*o + 107 = 14. Factor 95*x - 4*x**2 - 38*x**2 - 5*x - 5*x**o + 2*x**3 + 3*x**2.
-3*x*(x - 2)*(x + 15)
Let m(d) be the first derivative of 2/35*d**5 + 26 - 1/2*d**4 + 32/21*d**3 + 0*d - 12/7*d**2. Determine y, given that m(y) = 0.
0, 2, 3
Let u(p) be the first derivative of -p**2 + 50 + 1/6*p**4 - 4/3*p + 0*p**3. Factor u(r).
2*(r - 2)*(r + 1)**2/3
Find p, given that 16*p**3 - 2/3*p**4 - 64*p + 38