) be the third derivative of -h**6/420 + 2*h**5/35 + 12*h**4/7 - 576*h**3/7 - 1030*h**2. Determine y, given that z(y) = 0.
-12, 12
Find g, given that 685/2*g**3 + 395/2*g**5 - 97/2*g**2 - 78*g + 1017/2*g**4 + 2 = 0.
-1, 2/79, 2/5
Factor -2*h**3 - 699 - 936*h + 96*h**2 - 4177 + 0*h**3 - 532.
-2*(h - 26)**2*(h + 4)
Let z(m) be the second derivative of m**7/21 + 16*m**6/15 + 13*m**5/10 - 5*m**4 + 8541*m. Determine i, given that z(i) = 0.
-15, -2, 0, 1
Let j(m) = -9*m**2 + 30*m - 14. Let a be j(3). Let w be 8 + a + 5/(-35)*17. Factor -6/7*k**2 + 2/7*k**3 + 0 + w*k.
2*k*(k - 2)*(k - 1)/7
Let s(z) be the second derivative of -1/12*z**5 + 0*z**2 + 0 - 26*z - 25/18*z**4 + 0*z**3. Find o such that s(o) = 0.
-10, 0
Let p(r) = 176*r**3 - r**2 + 177*r**3 - 533*r**3 + 3 + 181*r**3. Let o(q) = 3*q**3 - 18*q**2 + 48*q + 210. Let b(a) = o(a) - 6*p(a). Factor b(w).
-3*(w - 4)*(w + 4)**2
Let d(t) be the second derivative of 3456*t**2 - 3 + 1/4*t**4 + 11*t - 48*t**3. Solve d(q) = 0 for q.
48
Let r = 2/1081 - -17282/7567. Let u = 3662 - 25514/7. Factor u*b + r + 300/7*b**2 + 250/7*b**3.
2*(5*b + 2)**3/7
Let c(o) = -1 - 8 + 3*o**2 + 3. Let n be c(-3). Suppose 83 - 6*r**4 - 106*r + 21*r**3 + 30*r**2 - n*r**5 + 84*r**3 + 22*r - 107 = 0. Calculate r.
-2, -1, -2/7, 1, 2
Let w(y) = -10*y**4 + 6*y**3 + 6*y**2 + 2*y. Let d(z) = -29*z**4 + 17*z**3 + 19*z**2 + 7*z. Let m(a) = 6*d(a) - 17*w(a). Factor m(u).
-4*u*(u - 2)*(u + 1)**2
Let j(p) = -41*p**3 + 3*p**2 + 13*p + 10. Let t(u) = 49*u**3 - 4*u**2 - 15*u - 12. Let v(w) = -6*j(w) - 5*t(w). Suppose v(x) = 0. What is x?
-3, 0, 1
Suppose 4*z - 8*o + 4*o + 92 = 0, -4*o + 12 = 0. Let t be 99/12 + -2 - z/(-4). Let -15/4*r - t*r**2 + 5 = 0. What is r?
-4, 1
Let k(c) be the third derivative of -28*c**2 + 17/270*c**5 + 0 + 2/9*c**3 - 7/540*c**6 + 0*c - 17/108*c**4 + 1/945*c**7. Factor k(t).
2*(t - 3)*(t - 2)*(t - 1)**2/9
Let v(i) be the third derivative of -i**5/330 + i**4/66 + 5*i**3/11 - 2*i**2 - 2*i + 777. Factor v(b).
-2*(b - 5)*(b + 3)/11
Let t(a) be the first derivative of a**2 - 26 + 33*a + 1/54*a**4 - 2/9*a**3. Let d(w) be the first derivative of t(w). What is g in d(g) = 0?
3
Let d = -200391/4 + 50098. Factor -1/2 - 1/4*z + 3/4*z**2 - 1/4*z**4 + d*z**3.
-(z - 2)*(z - 1)*(z + 1)**2/4
Factor -122724*q**2 + 80*q**4 - 1 + 430*q**3 + 122700*q**2 + 46*q**3 + 1.
4*q**2*(q + 6)*(20*q - 1)
Let f(m) be the third derivative of 9*m**6/160 + 561*m**5/40 + 745*m**4/32 + 31*m**3/2 + 28*m**2 + 2*m + 44. Suppose f(r) = 0. Calculate r.
-124, -1/3
Let p(f) = f**2 - 2*f + 2. Let n be p(0). Suppose -6*q - 8 = -5*q - 5*z, 5*q = -n*z + 14. Factor 24/5 + 18/5*b - 42/5*b**q.
-6*(b - 1)*(7*b + 4)/5
Let x(y) be the second derivative of -1/70*y**6 - 4*y - 1/7*y**4 + 0*y**3 + 0*y**2 - 3 + 3/35*y**5. Factor x(w).
-3*w**2*(w - 2)**2/7
Let q(f) = f**3 - 132*f**2 - 231*f - 118. Let c(o) = 3*o**3 - 267*o**2 - 462*o - 237. Let d(w) = 4*c(w) - 9*q(w). Factor d(i).
3*(i + 1)**2*(i + 38)
Let j(c) be the third derivative of -c**6/840 + 3*c**5/56 - 13*c**4/28 - 54*c**3 - 40*c**2 - 3. Let y(b) be the first derivative of j(b). Factor y(d).
-3*(d - 13)*(d - 2)/7
Let -44/3*m - 2/3*m**3 + 0 + 22/3*m**4 + 2/9*m**5 - 202/9*m**2 = 0. Calculate m.
-33, -1, 0, 2
Let k(s) be the third derivative of -s**7/70 - s**6/20 + s**5/20 + s**4/4 + 1783*s**2 - 2*s. Factor k(n).
-3*n*(n - 1)*(n + 1)*(n + 2)
Suppose -17*c - 44*c + 16 = -228. Let q(m) be the first derivative of 13/4*m**c - 2*m**2 - 4/3*m**3 + 0*m + 24 - m**5. Let q(j) = 0. What is j?
-2/5, 0, 1, 2
Let v(i) = -12*i**2 - 12065*i - 17. Let h(b) = 2*b**2 + 2011*b + 3. Let a(p) = 34*h(p) + 6*v(p). Factor a(c).
-4*c*(c + 1004)
Let c = -44 - -46. Determine y so that -23*y - 6*y**c + 8*y + 5 + 21*y**2 - 5*y**3 = 0.
1
Suppose 4*j + 317 = -4*t + 345, 3 = 4*t - j. Solve 65712/13*z**t - 810448/13*z**3 - 2368/13*z + 32/13 + 3748322/13*z**4 = 0 for z.
2/37
Factor 829*g**2 - 239121 - 279*g**2 - 274*g**2 - 277*g**2 + 978*g.
-(g - 489)**2
Let u(y) = -y**3 - 4*y**2 + 4*y - 3. Let z be u(-5). Suppose 0 = -3*k - z*k + 15. Find m such that -140*m**2 - 2*m**k + m**3 + 139*m**2 = 0.
-1, 0
Let q(k) be the first derivative of -k**6/360 + 13*k**5/12 - 4225*k**4/24 + 149*k**3/3 + 12. Let v(f) be the third derivative of q(f). Factor v(u).
-(u - 65)**2
Let y(u) = -u**2 + 2*u + 10. Let h(g) = -g**3 + 9*g**2 - 15*g + 11. Let x be h(7). Let j be y(x). Factor -16 - 10 - 18*c + 11 - 3*c**j.
-3*(c + 1)*(c + 5)
Let m = 5725 + -5721. Suppose 9 = -f - 3*w - 0*w, -f + w + 7 = 0. Solve -2*n**5 + 1/3*n**f - 1/3*n**m + 0 + 0*n**2 + 0*n = 0.
-1/2, 0, 1/3
Let q be -30 - (-96664)/3225 - (-227)/75. Find a such that q*a**3 + 52/3 + 35*a**2 - 152/3*a = 0.
-13, 2/3
Let u be (-14)/105 - 42/(-2)*45/2025. Factor 6*x**3 + u*x**4 - 27 - 6*x + 80/3*x**2.
(x - 1)*(x + 1)*(x + 9)**2/3
Let q(f) be the second derivative of f**6/240 - 7*f**5/160 - 11*f**4/48 + 7*f**3/12 + 9*f**2/2 - 9873*f. Solve q(m) = 0 for m.
-2, 2, 9
Let n be (-1)/(-6) + 11 + 13585/(-1248). Let g(v) be the second derivative of 0*v**2 - 21*v + n*v**4 + 0 + 1/8*v**3. Factor g(o).
3*o*(9*o + 2)/8
Let k(l) be the third derivative of 0*l + 1/80*l**5 + 0 + 1/32*l**4 + 82*l**2 + 0*l**3. Factor k(c).
3*c*(c + 1)/4
Determine p, given that -14/5*p**3 + 54/5*p + 0 - 1/5*p**4 - 39/5*p**2 = 0.
-9, -6, 0, 1
Suppose 52*w + 447 - 895 = -448. Determine a, given that 4/7*a**2 - 2/7*a**3 + 2/7*a**5 + 0*a - 4/7*a**4 + w = 0.
-1, 0, 1, 2
Suppose -2/23*t**3 + 580/23*t - 576/23 - 2/23*t**2 = 0. Calculate t.
-18, 1, 16
Factor 48/7*s + 2/7*s**2 + 34.
2*(s + 7)*(s + 17)/7
Let m(g) be the third derivative of -g**5/360 + 107*g**4/12 - 11449*g**3 - 2824*g**2. Factor m(o).
-(o - 642)**2/6
Let a(k) be the first derivative of -k**4/4 - 7*k**3/2 + 12*k**2 - 89*k + 40. Let y(u) be the first derivative of a(u). Factor y(z).
-3*(z - 1)*(z + 8)
Let h(t) = 4*t**3 + 2656*t**2 - 10868*t + 10884. Let s(k) = -4*k**3 - 2644*k**2 + 10869*k - 10885. Let i(n) = 5*h(n) + 4*s(n). Find g, given that i(g) = 0.
-680, 2
Let p(c) be the third derivative of -c**7/3360 - c**6/720 + c**5/24 - c**4/4 + 53*c**3/6 + 114*c**2. Let q(u) be the first derivative of p(u). Factor q(b).
-(b - 2)**2*(b + 6)/4
Let w(f) = -f**3 + 18*f**2 - 31*f - 14. Let u be w(16). What is q in -q**3 - 217*q**4 + 220*q**4 + 0*q**3 + q**5 - 3*q**u = 0?
-3, -1, 0, 1
Let f = -32 + 36. Suppose -4*k + 3*c - 6 = -k, -c + f = 0. Factor 4 + 3*b**k + 48*b**3 + 5*b**2 - 14*b - 40*b**3.
2*(b + 2)*(2*b - 1)**2
Let i(a) be the second derivative of a**8/36960 - a**6/3960 + 15*a**4/4 - 2*a - 16. Let u(k) be the third derivative of i(k). Let u(f) = 0. What is f?
-1, 0, 1
Factor -16/11*o**3 + 2/11*o**4 + 16/11*o + 0 - 2/11*o**2.
2*o*(o - 8)*(o - 1)*(o + 1)/11
Suppose 0 = -35*f + 36*f - 12. Let x be -11*f/2*-1. Factor x*y**3 - 192*y**2 - y**3 - 55*y**4 + 182*y**2.
-5*y**2*(y - 1)*(11*y - 2)
Let t(x) be the second derivative of x**5/20 - 63*x**4 + 31752*x**3 - 8001504*x**2 + x - 1282. Factor t(c).
(c - 252)**3
Let c be 607695/13335 - 1*43. Factor -328/7*p + 228/7*p**2 + c*p**3 + 16.
2*(p + 14)*(3*p - 2)**2/7
Let t(h) be the first derivative of -h**4/26 - 82*h**3/39 + 85*h**2/13 - 86*h/13 + 1305. Determine u, given that t(u) = 0.
-43, 1
Suppose 0 = 3*w + 5*k - 725, 0 = 4*w - 4*k + k - 1015. Let y = w + -247. Factor 0*h + y*h**3 - 3/2*h**5 + 0 + 0*h**2 - 3/2*h**4.
-3*h**3*(h - 1)*(h + 2)/2
Suppose -5*l = -3 - 2. Let w be l/3 - (-10)/6. Factor -45*x + 28*x**2 + 168*x**w - 67*x + 10 + 6.
4*(7*x - 2)**2
Suppose -240*u - 90 + 556*u - 247*u + 20 + u**2 = 0. What is u?
-70, 1
Suppose -5*b = 20, -4*x + b + 12 = -0*b. Solve 2129*r**3 - 120 - 4257*r**3 + 2131*r**3 - 108*r - 18*r**x = 0.
-2, 10
Let k = 166891 + -166867. Determine s, given that 10 + k*s + 24/5*s**3 + 92/5*s**2 + 2/5*s**4 = 0.
-5, -1
Let a(h) = h + 2 - 3*h - h**3 + 0*h + 3*h**2 - 2*h**2 - 2*h**2. Let o(k) = 2*k**3 - 31*k**2 - 34*k + 22. Let g(q) = 44*a(q) - 4*o(q). Factor g(s).
-4*s*(s - 2)*(13*s + 6)
Let h(l) be the second derivative of -l**5/10 + 10*l**4/3 - 92*l**3/3 + 112*l**2 + 1779*l. Solve h(m) = 0 for m.
2, 4, 14
Let b(u) be the second derivative of -40*u**2 + 0 + 145*u - 1/6*u**4 - 22/3*u**3. Factor b(h).
-2*(h + 2)*(h + 20)
Let i(j) be the third derivative of j**6/1080 + 361*j**5/45 + 260642*j**4/9 + 1505468192*j**3/27 - 1198*j**2. Find t suc