(6 - 3) - 5/1. Solve z + 2/13*q - 2/13*q**2 = 0 for q.
0, 1
Let v = 2946 - 23565/8. Let g(l) be the first derivative of l**3 + 0*l + 9/16*l**4 + v*l**2 - 8. Factor g(a).
3*a*(a + 1)*(3*a + 1)/4
Let i(v) be the third derivative of -v**6/540 - 317*v**5/270 - 8321*v**4/36 + 2809*v**3/3 - 706*v**2. Suppose i(j) = 0. What is j?
-159, 1
Let g(r) be the second derivative of -3*r**5/160 - 497*r**4/32 - 3875*r**3 - 11532*r**2 + 1009*r. Factor g(q).
-3*(q + 1)*(q + 248)**2/8
Let j be (-174)/1131 + 2/13. Let i be (3 - j)/((-75)/(-100)). Determine q, given that 0*q + 0*q**i - 1/5*q**3 + 0 + 1/5*q**5 + 0*q**2 = 0.
-1, 0, 1
Let w(i) be the second derivative of 65*i**4/12 - 15*i**3/2 - 10*i**2 - 25*i + 17. Suppose w(d) = 0. What is d?
-4/13, 1
Factor 1/4*q**2 - 29 - 25/4*q.
(q - 29)*(q + 4)/4
Let p = 200029/13 + -15386. Let j(g) be the second derivative of -7/13*g**3 + 0 + 1/130*g**5 + g - p*g**2 - 3/26*g**4. Factor j(y).
2*(y - 11)*(y + 1)**2/13
Let j(l) = -201*l**3 + 8139*l - 30060. Let p(y) = -15*y**3 + 626*y - 2312. Let w(z) = -2*j(z) + 27*p(z). Let w(i) = 0. What is i?
-16, 4, 12
Let b(u) = u**2 + 485*u + 14881. Let d(v) be the third derivative of v**5/60 + v**4/24 + v**3/6 + 19*v**2. Let q(g) = -b(g) - 3*d(g). Factor q(p).
-4*(p + 61)**2
Let a(f) be the third derivative of -f**6/280 + 19*f**5/140 - 12*f**4/7 + 72*f**3/7 - 5918*f**2. Factor a(x).
-3*(x - 12)*(x - 4)*(x - 3)/7
Let b(s) be the second derivative of -s**4/3 - 59*s**3/6 - 165*s**2/2 - s - 42. Suppose b(n) = 0. Calculate n.
-11, -15/4
Let s(h) be the first derivative of h**3/15 + 191*h**2/10 - 386*h/5 + 2663. Factor s(l).
(l - 2)*(l + 193)/5
Let y = 60/19717 - -58731/138019. Factor -192/7 + 45/7*w**2 + 144/7*w + y*w**3.
3*(w - 1)*(w + 8)**2/7
Let h(v) = v**3 - 18*v**2 - 67*v + 20. Let a(l) = -214*l + 348*l + 37*l**2 - l**3 - 28 - 6 - 4. Let t(s) = 2*a(s) + 5*h(s). Factor t(r).
(r - 8)*(r + 3)*(3*r - 1)
Let n(r) be the second derivative of r**6/40 - 45*r**5/16 + 603*r**4/8 + 940*r**3 + 3600*r**2 + 1450*r. Find z such that n(z) = 0.
-3, -2, 40
Factor 643/8*l + 1/2*l**2 - 161/8.
(l + 161)*(4*l - 1)/8
Let t(i) be the first derivative of i**7/14 - 3*i**6/10 + 3*i**5/20 + 3*i**4/4 - i**3 - 87*i + 143. Let j(u) be the first derivative of t(u). Factor j(c).
3*c*(c - 2)*(c - 1)**2*(c + 1)
Let i(x) be the third derivative of -x**7/105 - 3*x**6 - 270*x**5 + 1720*x**2. Find r, given that i(r) = 0.
-90, 0
Let q be (2200/240)/((-1)/(-110)). Let d = q + -1008. Let -j**2 - d + 7/6*j = 0. What is j?
1/2, 2/3
Factor -2760 - 182*f**2 - 1517*f + 2*f**3 + 5917*f - 8263 - 593.
2*(f - 44)**2*(f - 3)
Suppose 0 + 3/2*y**2 - 4*y + 1/4*y**3 = 0. What is y?
-8, 0, 2
Let p(y) be the second derivative of -y**4/54 - 202*y**3/27 - 67*y**2/3 - 413*y + 2. Suppose p(d) = 0. What is d?
-201, -1
Let r(a) = 21*a**3 - 117*a**2 - 183*a - 15. Let q(d) = -3*d**3 + 17*d**2 + 26*d + 2. Let y = -24 + 22. Let x(c) = y*r(c) - 15*q(c). Factor x(h).
3*h*(h - 8)*(h + 1)
Let r(y) = -y + 21. Let o(b) = -6*b - 3. Let a be o(-4). Let w be r(a). Factor -13*p + w + 2 - p**2 - 4 + 16*p.
-(p - 2)*(p - 1)
Let y = 112370 - 112367. Factor -1/6*u**y - 4 - 5/3*u**2 - 14/3*u.
-(u + 2)**2*(u + 6)/6
Let f(c) be the first derivative of 343*c**3/3 + 341*c**2/2 - 2*c - 92. Factor f(l).
(l + 1)*(343*l - 2)
Let h(l) be the third derivative of -2*l**7/105 + 31*l**6/15 - 319*l**5/5 - 124*l**4/3 + 7688*l**3/3 + 6839*l**2. Find w such that h(w) = 0.
-2, 2, 31
Let t be 3/(((-60)/400)/(2/(-8))). Let 163*r + 5*r**2 - t - 4 + 9 + 57*r = 0. Calculate r.
-44, 0
Let a be 3*2/33 + 9472/19536. Factor -a*b**4 - 4/3 - 10/3*b**3 - 14/3*b - 6*b**2.
-2*(b + 1)**3*(b + 2)/3
Suppose -5*g + 169 = 3*y, 2*g + 102 = 5*y - 3*y. Suppose -y*b + 28*b = -28*b. Solve 8/5 - 2/5*w**2 + b*w = 0 for w.
-2, 2
Let j(o) be the first derivative of -o**3/12 - 239*o**2/8 - 237*o/2 - 6224. Determine g, given that j(g) = 0.
-237, -2
Let n(i) = 22*i**2 + 2*i + 30. Let x be n(-6). Factor -395*t + 40 - 4*t**2 - 403*t + x*t.
-4*(t - 5)*(t + 2)
Let s = -4/61 + 191/122. Suppose -7*n + 13*n + 105 = 41*n. Factor s*w + w**n + 0 - 7/2*w**2.
w*(w - 3)*(2*w - 1)/2
Suppose -2*h = -h - k - 32, 5*k = -5*h + 210. Let g = -34 + h. Solve 15*x**4 + 10*x**g - 23 + 28 + 2*x - 7*x - 5*x - 20*x**2 = 0.
-1, 1/3, 1
Let u = 834 - 832. Let l(v) be the second derivative of 0 + 0*v**4 + 1/55*v**5 + 1/165*v**6 + 13*v + 0*v**3 + 0*v**u. Factor l(w).
2*w**3*(w + 2)/11
Let q = -30 + 55. Suppose q*w = 30*w - 35. Determine h so that -4*h**2 + h**4 + h**4 - 5*h**2 - h**5 + w*h**2 + h**3 = 0.
-1, 0, 1, 2
Suppose 235 = 115*h + 77*h - 533. Let r(z) be the first derivative of 0*z - 27 + 4/5*z**5 + 8/3*z**3 + 0*z**2 - 3*z**h. Factor r(j).
4*j**2*(j - 2)*(j - 1)
Let s(y) be the first derivative of y**4/40 - 29*y**3/15 + 317*y**2/20 - 26*y - 1264. Factor s(v).
(v - 52)*(v - 5)*(v - 1)/10
Let h(z) = 15*z**2 - 4*z. Suppose -49*l + 56*l = 896. Let u = -117 + l. Let w(p) = -8*p**2 + 2*p. Let j(x) = u*w(x) + 6*h(x). Factor j(y).
2*y*(y - 1)
Suppose -7*n = -35*n - 17108. Let j = n - -1231/2. Factor -3/2*o**4 + 0 - 9/2*o + j*o**3 + 3/2*o**2.
-3*o*(o - 3)*(o - 1)*(o + 1)/2
Let t(f) = 2*f + 10. Let v(g) = g**2 - 302*g + 24065. Let a(m) = 20*t(m) - 5*v(m). Factor a(j).
-5*(j - 155)**2
Let a(l) be the second derivative of 8/3*l**3 + 48*l**2 - 49*l + 1/18*l**4 + 0. Determine p, given that a(p) = 0.
-12
Let j(w) be the second derivative of 1/14*w**7 - 5/8*w**4 + 2*w + 7/20*w**6 - 7/4*w**3 + 3/8*w**5 - 3/2*w**2 - 23. Determine g, given that j(g) = 0.
-2, -1, -1/2, 1
Let u(a) be the second derivative of 33*a + 0*a**4 - 1/2*a**3 - 1/14*a**7 - 3 + 0*a**6 + 0*a**2 + 3/10*a**5. Factor u(r).
-3*r*(r - 1)**2*(r + 1)**2
Let z = 451 - 424. Factor 467*k**2 - 469*k**2 - z*k - 96 - 25*k.
-2*(k + 2)*(k + 24)
Suppose 2*j + 18 = 2*h, -550 + 586 = 5*h - 4*j. Solve h + 0*x**2 + 1/6*x**5 - 1/3*x**3 + 1/6*x + 0*x**4 = 0 for x.
-1, 0, 1
Let f(y) be the first derivative of 3*y**4/8 - 50*y**3 - 921*y**2/4 - 309*y + 855. Factor f(w).
3*(w - 103)*(w + 1)*(w + 2)/2
Suppose 0 = 4*h + 297 + 231. Let d be 2/8*(-352)/h. Factor 8/3 - 10/3*n + d*n**2.
2*(n - 4)*(n - 1)/3
Let a(g) = 5*g**2 + 24123*g + 29816814. Let c(t) = 10*t**2 + 48345*t + 59633630. Let n(s) = 5*a(s) - 3*c(s). Solve n(w) = 0.
-2442
Let b = 1620461/3 + -540089. Solve -22/3*m**2 + b*m + 12 = 0.
-2/11, 9
Let k(w) be the third derivative of w**6/540 - 73*w**4/108 + 8*w**3/3 - 2283*w**2. Let k(h) = 0. What is h?
-9, 1, 8
Let b = -576 - -940. Let a = b + -359. Factor 11/6*f**4 + 27/2*f + 23/3*f**3 + 15*f**2 + 9/2 + 1/6*f**a.
(f + 1)**2*(f + 3)**3/6
Factor 13*d**3 + 155182 - 7*d**3 - 9*d**3 - 179*d**2 - 149184*d - 7330 + 1514*d**2.
-3*(d - 222)**2*(d - 1)
Let c(y) = 7*y**4 - y**3 + 2*y**2. Let u(l) = -29*l**4 + 2*l**3 - 9*l**2. Let x(o) = -9*c(o) - 2*u(o). Find f, given that x(f) = 0.
0, 1
Let x be ((-475011)/45)/(1/(5/(-1))). Suppose 4*o - 4*p + 11655 - x = 0, -4*o + 41120 = -3*p. Factor -10*v**3 - 10277 + o + 15*v**2 - 5*v**4.
-5*v**2*(v - 1)*(v + 3)
Let j(k) = -k. Let q(o) = -131792 + o**2 + 131793 - 5*o + 13*o. Suppose 0 = -5*m + 3 + 2. Let s(u) = m*q(u) + 6*j(u). Solve s(a) = 0.
-1
Suppose -40*b + 1 = -35*b - 2*s, 0 = 2*b - s + 1. Let d(x) be the first derivative of -1/12*x**b + 7/8*x**2 - 8 - 3/2*x. Let d(f) = 0. Calculate f.
1, 6
Let k(d) = 25*d**3 - 580*d**2 - 6910*d - 10. Let y(g) = 11*g**3 - 291*g**2 - 3454*g - 4. Let b(x) = -2*k(x) + 5*y(x). Factor b(s).
5*s*(s - 69)*(s + 10)
Let u be 0 - (8 + -18)/2. Suppose -a - 20 = -u*a. Factor 0*c**4 + 0*c**2 + 0*c - 1/5*c**a + 0 + 1/5*c**3.
-c**3*(c - 1)*(c + 1)/5
Suppose -1158*z + 106 - 2*z**4 + 1158*z - 106 - 1634*z**3 = 0. What is z?
-817, 0
Let c(d) = 219*d**4 - 301*d**3 + 1430*d**2 - 1161*d - 11. Let q(x) = 40*x**4 - 60*x**3 + 286*x**2 - 232*x - 2. Let a(l) = 2*c(l) - 11*q(l). Factor a(h).
-2*h*(h - 23)*(h - 5)*(h - 1)
Let p(x) be the second derivative of -1/30*x**5 - 23/18*x**4 + 1/9*x**3 - 8 - 5*x + 23/3*x**2. Factor p(d).
-2*(d - 1)*(d + 1)*(d + 23)/3
Let z(r) be the second derivative of r**6/270 + 7*r**5/180 + r**4/18 - 1290*r. Determine y, given that z(y) = 0.
-6, -1, 0
Let x(g) be the second derivative of g**5/180 + g**4/18 - 2*g**3/3 - 6*g**2 - 139*g. Let w(p) be the first derivative of x(p). Find d such that w(d) = 0.
-6, 2
Let o(n) be the second derivative of 