2)). Let d(f) = -21*f**3 - 46*f**2 - 8*f + 7. Let k(g) = -11*g**3 - 24*g**2 - 4*g + 4. Let r(z) = n*d(z) - 7*k(z). Factor r(p).
-p*(p + 2)*(7*p + 2)
Let c(p) = -13*p - p**3 - 6 + 0*p**3 - 13*p + 10*p**2 + 8*p. Let z be c(7). Suppose -5*a + 12*a**2 - 5 - 7*a**2 + 20*a**2 - z*a**3 = 0. What is a?
-1/3, 1
Let x = -5/109316 - -218667/765212. Factor 10/7*i + x*i**2 + 0.
2*i*(i + 5)/7
Let -11/2*i**3 + 0*i + 0 - 17/8*i**4 - 1/8*i**5 - 7/2*i**2 = 0. Calculate i.
-14, -2, -1, 0
Let -1/4*z**4 - 3481/4 - 1623/2*z**2 - 1711*z + 29*z**3 = 0. What is z?
-1, 59
Let v = 1063 + -1059. Suppose 0 = 5*k - 3*k + 5*l - v, 0 = 5*k + 3*l - 10. Find s such that 1/8*s - 1/8*s**k + 3/4 = 0.
-2, 3
Find y, given that -1/4*y**2 + 1356*y - 1838736 = 0.
2712
Suppose 2*k = 3*n + 7*k, 12*n - 12*n = 4*k. Determine p so that n*p**3 - 2/13 + 0*p - 2/13*p**4 + 4/13*p**2 = 0.
-1, 1
Let q(k) be the second derivative of -158*k + 1/10*k**5 + 2/3*k**3 + 1/2*k**4 + 0 + 0*k**2. Factor q(x).
2*x*(x + 1)*(x + 2)
Factor 12*s**2 - 189/5 - 117/5*s.
3*(s - 3)*(20*s + 21)/5
Let n = -1054259/90 - -11714. Let u(y) be the third derivative of -n*y**6 + 0*y**4 + 1/90*y**5 + 0 + 8*y**2 + 0*y + 0*y**3 + 1/315*y**7. Factor u(z).
2*z**2*(z - 1)**2/3
Let a be (-7)/(63/(-6)) + 1184/222. Let o = 40 + -38. Determine g so that -a*g - 8*g**o + 3/2*g**3 + 0 = 0.
-2/3, 0, 6
Let w be (-75 + 47)*(-1 - (-8019)/(-45)). Factor w + 1352/5*p**2 + 12/5*p**3 + 38528/5*p.
4*(p + 56)**2*(3*p + 2)/5
Suppose -q + 4*q = 18. Let v be (q/(-18))/((-2)/96*2). Determine a, given that 10*a**2 + 13 - 9 - 10*a - v*a + 18*a**3 - 14*a**4 = 0.
-1, 2/7, 1
Let g(s) be the second derivative of -19/2*s**3 + 221*s + 1/20*s**5 + 0 - 99/2*s**2 - 5/12*s**4. Find n such that g(n) = 0.
-3, 11
Let h(o) = -77*o + 915. Let a be h(6). Suppose 0 = -21*g - 411 + a. Let 2/3 - 2*i + 2*i**g - 2/3*i**3 = 0. Calculate i.
1
Let w be 4*1 - (-6 + 8 - 0). Factor -28*x + 3*x**w + 88*x + x**2.
4*x*(x + 15)
Let v(j) be the third derivative of j**8/112 + 68*j**7/35 + 1121*j**6/10 - 4829*j**5/10 - 4485*j**4/8 + 4761*j**3 + 6705*j**2. Determine f, given that v(f) = 0.
-69, -1, 1, 2
Let z(a) be the first derivative of 1/66*a**4 - 26/33*a**3 + 27*a + 169/11*a**2 - 2. Let w(q) be the first derivative of z(q). Factor w(n).
2*(n - 13)**2/11
Let q(f) be the third derivative of 2*f**7/105 + 3*f**6/5 + 67*f**5/15 + 3*f**4 - 208*f**3/3 + 2526*f**2. Suppose q(r) = 0. Calculate r.
-13, -4, -2, 1
Let k(v) = -12*v**4 - 252*v**3 - 672*v**2 - 424*v - 24. Let c(d) = 4*d**4 + 84*d**3 + 224*d**2 + 141*d + 9. Let b(p) = 8*c(p) + 3*k(p). Factor b(g).
-4*g*(g + 1)*(g + 2)*(g + 18)
Suppose 30 = 2*b + 2*t, 56*t - 51*t = -25. Let j = b + -20. Let j*u + 0*u**3 + 0 - 2/13*u**4 + 2/13*u**2 = 0. Calculate u.
-1, 0, 1
Let i = 15 - 12. Suppose -i = t - 4*s + 3, -4*t + 4 = -2*s. Let 35*f**3 - 23*f**5 + 9*f**2 + 2*f**5 - 3*f**t - 6*f**4 - 14*f**3 = 0. What is f?
-1, -2/7, 0, 1
Let o(g) be the first derivative of -45*g - 1/15*g**3 - 3*g**2 - 40. Factor o(y).
-(y + 15)**2/5
Let f(d) be the first derivative of -d**5 - 85*d**4/4 + 365*d**3 - 1915*d**2/2 + 910*d - 6936. Factor f(p).
-5*(p - 7)*(p - 1)**2*(p + 26)
Let w(f) be the first derivative of -3*f**5/40 + 171*f**4/32 + 45*f**3/2 + 603. Solve w(g) = 0.
-3, 0, 60
Let b(s) be the second derivative of -s**8/36960 + s**7/13860 + s**6/120 + 21*s**5/220 + s**4/6 - 8*s. Let h(u) be the third derivative of b(u). Factor h(f).
-2*(f - 7)*(f + 3)**2/11
Let n be (174/580)/((-63)/(-140)). Factor n*t + 0 + 1/3*t**2.
t*(t + 2)/3
Let n be (-497)/(-142) + (-6)/12. Solve -2/3*o**n - 32/3*o + 0 - 16/3*o**2 = 0 for o.
-4, 0
Let c(j) be the first derivative of j**6/600 - j**5/20 + 3*j**4/5 - 25*j**3/3 - 2*j + 172. Let b(g) be the third derivative of c(g). Solve b(z) = 0 for z.
4, 6
Factor 2454*o**2 - 289444 + 1030*o**2 - 4561*o**2 - 59138*o - o**3 - 231382*o.
-(o + 1)*(o + 538)**2
Let g(z) be the third derivative of -140/27*z**3 - z + 0 + 46/27*z**6 - 5/189*z**7 - 533/90*z**5 + 211/27*z**4 - 86*z**2. Suppose g(m) = 0. Calculate m.
2/5, 1, 35
Factor 24/5*v**2 - 3/5*v**3 + 12*v + 0.
-3*v*(v - 10)*(v + 2)/5
Let f(t) be the first derivative of t**4/2 - 2*t**3/3 + 3*t**2/2 - 3*t + 23. Let u(j) = -2*j**3 + 2*j**2 - 4*j + 4. Let o(g) = -4*f(g) - 3*u(g). Solve o(x) = 0.
0, 1
Let d(f) be the second derivative of -1/30*f**5 + 0 + 19/9*f**3 + 10/3*f**2 + 4/9*f**4 - 70*f. Factor d(t).
-2*(t - 10)*(t + 1)**2/3
Let g(r) be the first derivative of -r**6/450 - r**5/30 - 2*r**4/15 - 61*r**3/3 - 172. Let k(h) be the third derivative of g(h). Factor k(m).
-4*(m + 1)*(m + 4)/5
Let r be (8/(-10))/((-3)/5). Let u be -4 + (-4 - -3) + 68*9/108. Let u*j + 2/15 + 4/3*j**3 + r*j**2 + 2/15*j**5 + 2/3*j**4 = 0. Calculate j.
-1
Let u(j) be the second derivative of -j**7/70 + 7*j**6/25 - 3*j**5/100 - 46*j**4/5 + 38*j**3 - 312*j**2/5 + 4985*j. Find b, given that u(b) = 0.
-4, 1, 2, 13
Let u(r) = -r**3 + 21*r**2 - 21*r + 28. Let x be u(20). Determine g, given that 785*g**4 + g**3 - 9*g**3 + 2*g**5 - 787*g**4 + x*g**2 = 0.
-2, 0, 1, 2
Let 4/7*d**2 + 80/7*d - 2*d**3 + 0 + 2/7*d**4 = 0. Calculate d.
-2, 0, 4, 5
Let q(r) = 144*r**3 + 39168*r**2 - 10088*r - 2236. Let t(p) = -289*p**3 - 78337*p**2 + 20176*p + 4471. Let n(g) = -9*q(g) - 4*t(g). Find d, given that n(d) = 0.
-280, -1/7, 2/5
Let r(w) = 7*w**3 + 6*w**2 - 13*w + 4. Let z(k) = -k**2 + 2*k + 9. Let g be z(4). Let a(m) = -2*m**3 + m**2 + m - 1. Let y(q) = g*r(q) + 4*a(q). Factor y(c).
-c*(c - 9)*(c - 1)
Let b(k) = 2*k**4 - 1514*k**3 - 1510*k**2 - 4. Let x(d) = -12*d**4 + 7570*d**3 + 7549*d**2 + 22. Let q(p) = 11*b(p) + 2*x(p). Suppose q(i) = 0. Calculate i.
-756, -1, 0
Let v = -259345/7 - -37051. Factor -2/7*t**3 + v - 4/7*t**2 + 10/7*t.
-2*(t - 2)*(t + 1)*(t + 3)/7
Suppose -38 = -58*t + 426. Suppose 15*q - 16*q - 8 = -4*r, 3*q - t = 4*r. Factor q*n - 4 + 2*n**3 - 1/4*n**4 - 6*n**2.
-(n - 2)**4/4
Let y(k) = 5*k**2 + 2*k - 1. Let o(t) = -3*t**3 - 822*t**2 - 57099*t + 178926. Let v(d) = -o(d) + 3*y(d). Determine z so that v(z) = 0.
-141, 3
Let q = -31 - -35. Suppose 5*c - 3*c - 43 = -5*g, -3*c = -q*g + 16. Factor -g*s**2 + 16 - 141 + 50*s + 2*s**2.
-5*(s - 5)**2
Let h(m) be the first derivative of -8464*m + 184*m**2 + 247 - 4/3*m**3. What is f in h(f) = 0?
46
Let m(n) be the third derivative of n**5/20 + 5*n**4 - 42*n**3 - 1432*n**2. Suppose m(b) = 0. Calculate b.
-42, 2
Let x(s) be the second derivative of s**6/30 - 11*s**4/2 + 64*s**3/3 - 63*s**2/2 + 51*s - 2. Factor x(i).
(i - 7)*(i - 1)**2*(i + 9)
Suppose 0*p - 12*p + 24 = 0. Suppose -p*v + 106 - 100 = 0. Find o, given that -6/7 - 5/7*o**v + 1/7*o**4 + 5/7*o + 5/7*o**2 = 0.
-1, 1, 2, 3
Let z = 584 + -580. Suppose -5*i - 3*o = -z*o - 20, -2*i = -4*o - 26. Find u, given that 2/9*u**4 + 0 + 0*u + 2/9*u**i - 4/9*u**2 = 0.
-2, 0, 1
Let u(y) be the second derivative of 2/25*y**6 - 56*y + 0*y**2 + 0*y**3 + 0 - 1/30*y**7 - 3/100*y**5 - 1/30*y**4. Factor u(m).
-m**2*(m - 1)**2*(7*m + 2)/5
Let s(r) be the first derivative of -r**5/40 - r**4/8 + 2*r**3 + 69*r**2/2 - 37. Let l(g) be the second derivative of s(g). Suppose l(n) = 0. Calculate n.
-4, 2
Let p(b) be the second derivative of -b**5/70 + 5*b**4/6 - 81*b - 2. What is j in p(j) = 0?
0, 35
Let d(r) be the second derivative of -25*r**4/12 - 35*r**3/6 + 236*r + 2. Let d(b) = 0. What is b?
-7/5, 0
Suppose 79*p - 74*p = 210. Solve -38*t**2 + 48*t + 16*t**4 - p*t**2 - 4*t**5 - 2*t**4 + 28*t**3 - 6*t**4 = 0.
-3, 0, 1, 2
Let a(q) be the third derivative of 194*q**2 - 1/100*q**5 - 441/10*q**3 + 0 + 21/20*q**4 + 0*q. Find u, given that a(u) = 0.
21
Factor 350*k + 5/2*k**2 - 6705/2.
5*(k - 9)*(k + 149)/2
Let y(z) = -403*z**2 - 5*z - 6. Let i be y(-1). Let d = 2027/5 + i. Factor 16/5 + d*g**4 + 44/5*g**3 + 16*g + 96/5*g**2.
(g + 2)**3*(7*g + 2)/5
Let l(p) be the third derivative of -5 + 35/3*p**3 - 2*p**2 + 1/12*p**5 - 25/8*p**4 + 0*p. Factor l(q).
5*(q - 14)*(q - 1)
Let h be 1 - -13 - (-223215)/(-1294)*2/25. Let 3/5*m**2 - h*m**3 + 9/5*m - 27/5 = 0. Calculate m.
-3, 3
Let g = -109 + 63. Let f = g - -49. Solve -4*b**f - 41*b + 3*b**2 - 21*b + 32 + 78*b - 11*b**2 = 0.
-2, 2
Suppose -4*h = 5*p - 71, 4*p - 263 = 5*h - 403. Let x(g) be the first derivative of -22*g**2 - 16/3*g**3 + g**4 - h*g + 22. Find z such that x(z) = 0.
-1, 6
Let 27/5 - 81/10*q + 1/10*q**4 