*5 + 0*g**2. Let h(b) = 0. Calculate b.
-3, -1, 0, 1
Let o(r) = -321*r**2 - 172*r - 5850. Let z(t) = -230*t**2 - 115*t - 3900. Let b(i) = 5*o(i) - 7*z(i). Determine u so that b(u) = 0.
-15, 26
Let c be (2 - 36/16)*(279 + -279). Find j, given that -3/5*j**3 - 33/5*j**2 + c*j + 0 = 0.
-11, 0
Let d(c) be the third derivative of c**5/60 + c**4/8 + 2*c**3/3 - 14*c**2. Let o(w) = 4*w**2 + 12*w + 17. Let x(n) = -9*d(n) + 2*o(n). Factor x(z).
-(z + 1)*(z + 2)
Let n(h) be the third derivative of -h**5/80 + 193*h**4/16 - 385*h**3/8 + 424*h**2 + 2*h. Find v such that n(v) = 0.
1, 385
Factor 49/3*h**3 - 3115/3*h**2 + 1768/3*h - 84.
(h - 63)*(7*h - 2)**2/3
Let a = 316769/108 + -2933. Let s(z) be the third derivative of -1/270*z**5 + 0*z - 22*z**2 - 2/9*z**3 + 0 - a*z**4. Factor s(k).
-2*(k + 2)*(k + 3)/9
Let b be 5670/1323*(-2)/(-10). Find c such that 1/7*c**2 + 5/7 + b*c = 0.
-5, -1
Let t(x) be the first derivative of -32 - 3/20*x**5 + 9/2*x**2 + 1/2*x**3 - 27/4*x - 3/4*x**4. Factor t(m).
-3*(m - 1)**2*(m + 3)**2/4
Let g(y) = -3*y**5 - 36*y**4 - 96*y**3 - 5*y**2 - 10*y. Let f(k) = 15*k**5 + 180*k**4 + 480*k**3 + 24*k**2 + 48*k. Let h(s) = -5*f(s) - 24*g(s). Factor h(p).
-3*p**3*(p + 4)*(p + 8)
Let h(j) be the second derivative of 3*j - 1/27*j**4 + 32/9*j**2 + 10/9*j**3 + 3. Factor h(a).
-4*(a - 16)*(a + 1)/9
Let j(m) = 9*m**3 - 89*m**2 - 340*m - 336. Let u(z) = 7*z**3 - 87*z**2 - 339*z - 337. Let x(r) = 3*j(r) - 4*u(r). Factor x(b).
-(b - 85)*(b + 2)**2
Let p(d) be the third derivative of d**7/210 + d**6/40 - 8*d**5/15 - d**4/2 + 56*d**3/3 + 5944*d**2. Solve p(b) = 0 for b.
-7, -2, 2, 4
Let r(i) be the third derivative of -2*i**5/15 + 41*i**4/2 + 126*i**3 - i**2 + 3*i - 550. Solve r(k) = 0 for k.
-3/2, 63
Let m be ((-3)/(-4) - 1) + 1 - 1922949/(-18340). Factor -16/5 - 4356/5*a**2 + m*a.
-4*(33*a - 2)**2/5
Suppose -64*i = -63*i. Suppose 23*d - 24*d + 2 = i. Solve -2*m + 4*m**2 - 2*m**3 - 8*m**d + 0*m**3 = 0 for m.
-1, 0
Factor 1/8*p**2 + 0 + 21/8*p.
p*(p + 21)/8
Let x(i) be the second derivative of -3*i**5/20 - 15*i**4/2 + 31*i**3/2 + i - 385. Factor x(o).
-3*o*(o - 1)*(o + 31)
Let o(t) be the first derivative of 169*t**3/15 + 3159*t**2/5 + 59049*t/5 - 2285. Factor o(r).
(13*r + 243)**2/5
Let q be 16 + (-7 - -6)*2. Factor -s**2 + 7*s - q - 41*s + 25*s.
-(s + 2)*(s + 7)
Let w(n) be the second derivative of n**3/3 - 11*n**2 - 20*n. Let v be w(20). Determine q so that -20*q + 18*q - 20 + v*q + 4*q**2 = 0.
-5, 1
Let x(y) = 2*y**3 - 6*y**2 + 10. Let k be x(2). What is w in -2/5*w**k - 32/5*w - 128/5 = 0?
-8
Let z(f) = 4 + 1 - f + f**3 - 3*f**3 - 6. Let j(r) = 5*r**3 + 57*r**2 - 341*r + 679. Let w(p) = -j(p) - 4*z(p). Factor w(x).
3*(x - 9)*(x - 5)**2
Let a = 4/2359 - -4178/318465. Let g(v) be the third derivative of 1/540*v**6 + 0*v + 5/108*v**4 + 0 + 2/27*v**3 + a*v**5 - 14*v**2. Factor g(f).
2*(f + 1)**2*(f + 2)/9
Let n(o) = -247*o**3 + 401*o**2 - 125*o - 199. Let q(c) = 59*c**3 - 100*c**2 + 31*c + 50. Let r(w) = 4*n(w) + 17*q(w). Factor r(t).
3*(t - 6)*(t - 1)*(5*t + 3)
Let m(s) be the second derivative of -s**4/8 - 8*s**3 + 51*s**2 + 299*s. Factor m(t).
-3*(t - 2)*(t + 34)/2
Let b(v) be the second derivative of 53 + v**4 - 7/5*v**5 + 2*v - 2/21*v**7 + 0*v**2 + 0*v**3 + 2/3*v**6. Solve b(t) = 0.
0, 1, 3
Let b be (-4)/(-12)*(-1 - 165122/22). Let m = 2504 + b. Factor 2/11*v**2 + 50/11 + m*v.
2*(v + 5)**2/11
Suppose -199*h - 8 = -203*h. Factor -8*g + 32*g**h + 1/2.
(8*g - 1)**2/2
Let w = 45 + -42. Let q be (w/(-5))/(4/(-20)). Factor 5*z**q + 9 - 38*z**2 + 25 - 2 + 64*z.
(z - 4)**2*(5*z + 2)
Factor -41/3*v**2 - 148/3 - 1/3*v**3 - 152/3*v.
-(v + 2)**2*(v + 37)/3
Let a(j) be the first derivative of -j**5/5 - 5*j**4/2 - 35*j**3/3 - 25*j**2 - 24*j + 2596. Suppose a(l) = 0. What is l?
-4, -3, -2, -1
Suppose 76*c - 280 = -10*c + 16*c. Let v(x) be the third derivative of -5/108*x**c + 12*x**2 - 1/270*x**5 + 0 - 4/27*x**3 + 0*x. Determine z so that v(z) = 0.
-4, -1
Suppose 5*k + 5*t = 30, -k + t - 2 + 4 = 0. Let f be (2/(-20))/((-2)/k). Solve -f*n**4 - 1/5*n**3 + 0 + 1/5*n**2 + 1/5*n = 0 for n.
-1, 0, 1
Let i(m) = -m + 46. Let d be i(2). Determine f so that 5*f**2 - 82*f - d*f + 6845 - 244*f = 0.
37
Let j(g) = -g**3 + 21*g**2 + 3*g - 34. Let a be j(21). Factor -23*s**2 + 20*s + s**3 - 14*s**2 + a*s**2 - 16.
(s - 4)*(s - 2)**2
Let u(r) = 460*r - 18. Let x be u(17). Factor 28*i + x*i**3 + 6 + 52*i**2 + 22*i**4 + 7*i**5 - 3*i**5 - 7754*i**3.
2*(i + 1)**4*(2*i + 3)
Let g(t) be the first derivative of -35/8*t**4 + 40 - t**2 + 0*t + 19/3*t**3 + 17/20*t**5. Factor g(j).
j*(j - 2)**2*(17*j - 2)/4
Let j(w) be the second derivative of w**4/78 - 50*w**3/39 + 184*w**2/13 - 889*w. Let j(y) = 0. Calculate y.
4, 46
Let i(y) = y**2 + 17*y + 32. Let b be i(-15). Determine t so that -2*t + 16 - 2*t - 41*t**b - 10*t + 39*t**2 = 0.
-8, 1
Let q(o) be the first derivative of -o**5/15 - 19*o**4/3 - 1579*o**3/9 - 804*o**2 + 2160*o - 4561. Factor q(m).
-(m - 1)*(m + 5)*(m + 36)**2/3
Let u(w) be the second derivative of -w**5/180 - 7*w**4/72 - 55*w**2/2 + 21*w - 1. Let h(d) be the first derivative of u(d). Determine j, given that h(j) = 0.
-7, 0
Let t(l) be the first derivative of 84*l**2 + 96*l + 3/10*l**5 + 39/8*l**4 + 30*l**3 + 121. Factor t(u).
3*(u + 1)*(u + 4)**3/2
Solve 63 + 1137/8*l - 91/8*l**2 = 0 for l.
-3/7, 168/13
Let m be 14/(-21) + -9 + (1503/108 - 3). Let u(v) be the first derivative of m*v**5 + 12 + 23/4*v**3 - 7/2*v**2 - 35/8*v**4 + v. Factor u(t).
(t - 1)**2*(5*t - 2)**2/4
Suppose 0 = 17*x + 10*x - 540. Let u = -98/5 + x. Factor u*z**4 + 0*z**2 - 8/5*z + 6/5*z**3 + 0.
2*z*(z - 1)*(z + 2)**2/5
Let w(q) be the first derivative of q**6/27 - 8*q**5/9 - 11*q**4/3 - 136*q**3/27 - 23*q**2/9 + 1298. Let w(j) = 0. Calculate j.
-1, 0, 23
Let q(v) be the second derivative of 5*v**4/12 + 25*v**3/2 - 40*v**2 - 7*v + 19. What is t in q(t) = 0?
-16, 1
Let h(p) be the third derivative of -4/105*p**7 + 0*p**3 + 0*p**4 + 30*p**2 + 0*p - 1/300*p**6 - 13/840*p**8 + 0 + 1/25*p**5. Find d such that h(d) = 0.
-1, 0, 6/13
Determine l so that 327 - 653/2*l - 1/2*l**2 = 0.
-654, 1
Determine p, given that 207368/13 - 1288/13*p + 2/13*p**2 = 0.
322
Let b(v) be the first derivative of 405*v**4/4 + 800*v**3/3 + 385*v**2/2 - 10*v - 3742. Factor b(r).
5*(r + 1)**2*(81*r - 2)
Let u(b) = 15*b**3 - 15727*b**2 - 23*b + 15679. Let y(h) = -5*h**3 + 5242*h**2 + 8*h - 5224. Let t(s) = 3*u(s) + 8*y(s). Suppose t(p) = 0. Calculate p.
-1, 1, 1049
Let o be (((-8)/(-12) - 1) + 33/45)*(-1715)/(-343). Factor 81/7*s + 3/7*s**o + 78/7.
3*(s + 1)*(s + 26)/7
Let v(p) = -2*p**3 - 38*p**2. Let s be v(-19). Let d(h) be the first derivative of -3/4*h**4 + 0*h**3 + s*h + 4 + 3/2*h**2. Find y, given that d(y) = 0.
-1, 0, 1
Let o = 343 - 347. Let n be 20/8*(o - 48/(-10)). Find d, given that -8/9*d**n - 4/9 + 10/9*d + 2/9*d**3 = 0.
1, 2
Let w(f) = -f**2 + 269*f + 1935. Let q be w(-7). What is a in 25/3*a**2 + 2*a**q + 22/3*a + 1 = 0?
-3, -1, -1/6
Let x = 172 - 166. Let c(t) = 3*t**2 - t - 10. Let r(j) = -7*j**2 + 2*j + 15. Let o(g) = x*r(g) + 15*c(g). Factor o(d).
3*(d - 5)*(d + 4)
Let t(v) be the first derivative of 2*v**5/25 + v**4 + 34*v**3/15 + 8*v**2/5 + 321. Factor t(i).
2*i*(i + 1)**2*(i + 8)/5
Let z be (-5)/(0 + -5)*(10 - (14 - 7)). Let q(b) be the third derivative of 0*b - 15/2*b**4 + 2/3*b**5 + 0 + 135/4*b**z + 13*b**2. Find s such that q(s) = 0.
9/4
Suppose 13*o = 50*o - 23*o - 34*o + 60. Solve -120/11*b - 14/11*b**4 + 38/11*b**2 + 2*b**o + 72/11 + 2/11*b**5 = 0 for b.
-2, 1, 2, 3
Let h(u) = 5*u**2 - 608*u + 102400. Let g(c) = -6*c**2 + 600*c - 102400. Let f(x) = 4*g(x) + 5*h(x). Factor f(a).
(a - 320)**2
Suppose 0 = 4*z, -z - 168 - 12 = 2*k. Let l = k + 126. Let -45*q**3 - 16*q**4 - 39*q**3 - 12*q**2 - l*q**4 - 95*q**4 = 0. Calculate q.
-2/7, 0
Let q(i) be the third derivative of 5*i**5/3 - 53*i**4/6 + 4*i**3 + 977*i**2. Factor q(p).
4*(p - 2)*(25*p - 3)
Let c(b) = b**3 + 55*b**2 - 590*b - 38790. Let r be c(-52). Determine i, given that -9/5*i**3 - 6/5 + 12/5*i**r + 3*i = 0.
-1, 1/3, 2
Let r(j) = -7*j**2 - j + 2. Let a(n) = 32*n**2 + 2*n - 9. Let t(o) = 2*a(o) + 9*r(o). Determine w so that t(w) = 0.
0, 5
Let v = 6 - 4. Suppose -15*o - 8 = -533. Suppose 38*d**v + 0*d - 12 - o*d**2 + 0*d = 0. What is d?
-2, 2
Let c(b) be