291*h. Determine p, given that b(p) = 0.
-44, 0, 2
Let i(y) be the third derivative of 146*y**2 - 31/6*y**4 + 0*y + 28/9*y**3 + 0 + 13/45*y**5. Factor i(z).
4*(z - 7)*(13*z - 2)/3
Suppose -109*s - 8 = -113*s. Factor 12*h**4 + 18*h**3 + 2*h**5 - 10*h - 26*h**3 - 12*h**s + 16*h**3.
2*h*(h - 1)*(h + 1)**2*(h + 5)
Find n such that -6/5*n**5 + 0 + 346/5*n**2 - 86/5*n**3 - 20*n - 154/5*n**4 = 0.
-25, -2, 0, 1/3, 1
Let l(a) = -11*a**3 - 425*a**2 + 1224*a - 684. Let h(w) = 10*w**3 + 425*w**2 - 1225*w + 700. Let f(o) = 4*h(o) + 5*l(o). Factor f(s).
-5*(s - 2)*(s + 31)*(3*s - 2)
Let b(x) be the second derivative of x**6/120 - 21*x**5/160 + 67*x**4/96 - 11*x**3/8 + 7272*x. Let b(q) = 0. What is q?
0, 2, 3, 11/2
Let d(q) be the second derivative of -7 - 2*q + 2/3*q**2 - 1/15*q**5 + 2/9*q**3 - 1/90*q**6 - 1/12*q**4. Factor d(l).
-(l - 1)*(l + 1)*(l + 2)**2/3
Suppose -12*p = 3*j - 16*p - 672, -4*p = 3*j - 672. Suppose j*w = 222*w + 4. Factor -198/7*o + 363/7*o**w + 27/7.
3*(11*o - 3)**2/7
Let o = 1207 - 1992. Let b = o + 3937/5. Solve -2*i + 2/5*i**3 + b - 4/5*i**2 = 0.
-2, 1, 3
Let w(u) be the second derivative of -45*u**7/14 + 47*u**6/10 + 399*u**5/20 - 231*u**4/4 + 50*u**3 - 6*u**2 + 6*u - 294. Let w(a) = 0. Calculate a.
-2, 2/45, 1
Let a = 2 + -25. Let u = a + 34. Let -6*d - u + 9*d**2 + 10*d**4 + 24*d**3 + 11 - d**4 = 0. What is d?
-2, -1, 0, 1/3
Let t = 73 + -70. Solve -4*v**4 + 16*v**2 - 43*v**3 - 41*v**3 + 72*v**t = 0 for v.
-4, 0, 1
Let t(o) be the second derivative of 2*o**6/45 - 107*o**5/5 - o**4/9 + 214*o**3/3 + 5*o + 116. Determine f so that t(f) = 0.
-1, 0, 1, 321
Suppose -30 = 7*a - 9. Let m be 53 + (-3)/(a/(-2)). Factor -4*r**3 + m*r + 45*r - 96*r + r**2.
-r**2*(4*r - 1)
Let j(u) be the first derivative of -u**5/45 - u**4/3 - 38*u**3/27 - 2*u**2/3 + 7*u - 486. Let j(z) = 0. Calculate z.
-7, -3, 1
Let o(q) = -3*q**3 - 64*q**2 + 93*q - 62. Let k(w) = 15*w**3 + 321*w**2 - 456*w + 309. Let z(d) = -4*k(d) - 21*o(d). Factor z(b).
3*(b - 1)**2*(b + 22)
Let r = 232057/8 + -28400. Let a = -606 + r. Factor 0 + 3/2*x**2 - 3/8*x**3 - a*x.
-3*x*(x - 3)*(x - 1)/8
Let s(k) be the first derivative of 1/70*k**6 + 3/70*k**5 - 1/7*k**3 + 0*k**4 - 5*k - 23 - 3/14*k**2. Let g(f) be the first derivative of s(f). Factor g(y).
3*(y - 1)*(y + 1)**3/7
Let m be 18*((-1)/2 - 5/(-5)). Factor -3*k**2 - 5*k**3 - 6 - 2*k**3 + 9*k + m - 2*k**3.
-3*(k - 1)*(k + 1)*(3*k + 1)
Let n(l) = 34*l - 302. Let h = 960 + -951. Let x be n(h). Factor -2/11*w**x + 6/11*w**2 + 0 - 4/11*w + 0*w**3.
-2*w*(w - 1)**2*(w + 2)/11
Let k(q) be the second derivative of q**7/42 - 2*q**6/15 - 12*q**5/5 - 55*q**4/6 - 97*q**3/6 - 15*q**2 + 957*q. Solve k(s) = 0.
-3, -1, 10
Find v, given that -872*v + 244*v - 974*v - 211 + 667 - 9*v**3 + 705*v**2 = 0.
1/3, 2, 76
Let p(d) = -3*d**4 - 22*d**3 + 145*d**2 - 364*d + 236. Let o(h) = -7*h**4 - 44*h**3 + 289*h**2 - 727*h + 471. Let k(c) = 4*o(c) - 9*p(c). What is j in k(j) = 0?
1, 4, 5, 12
Let k be 32/12 + -1 - 1540/900. Let n = 8/45 + k. Factor -4/15*m + 0 + 2/15*m**2 + n*m**3.
2*m*(m - 1)*(m + 2)/15
Let r = -214406 - -214408. Factor -12/5*z**r + 32/15*z + 16/15*z**3 - 2/3 - 2/15*z**4.
-2*(z - 5)*(z - 1)**3/15
Factor 174/5*u**2 + 0 + 3*u**3 - 72/5*u.
3*u*(u + 12)*(5*u - 2)/5
Let m be (-56)/(-60)*144/9. Let h = -73/5 + m. Factor -2/3*v**3 + 1/3*v**2 - h*v**4 + 2/3*v + 0.
-v*(v - 1)*(v + 1)*(v + 2)/3
Let c(b) be the second derivative of 7*b**5/5 + 68*b**4/3 + 184*b**3/3 - 64*b**2 - 11060*b. Suppose c(k) = 0. What is k?
-8, -2, 2/7
Factor 33/5*z**2 - 2/5*z + 0.
z*(33*z - 2)/5
Let z(w) be the third derivative of 1/210*w**5 + 0*w - 15/14*w**4 - 2 - 8*w**2 + 675/7*w**3. What is x in z(x) = 0?
45
Let u(i) be the first derivative of i**4/20 + 26*i**3/15 - 338*i**2/5 - 17576*i/5 + 6835. What is l in u(l) = 0?
-26, 26
Let r = -1669196 + 1669196. Determine l, given that 2*l**2 + 0*l - 12/5*l**3 + r + 2/5*l**4 = 0.
0, 1, 5
Find s, given that 2/5*s**2 - 9/5*s**3 + 1/5*s**5 - 2/5*s**4 + 0 + 8/5*s = 0.
-2, -1, 0, 1, 4
Factor 25905*g**3 - 1597*g + 11808*g + 11897*g - 710*g**4 + 5*g**5 - 49700*g**2 + 2392*g.
5*g*(g - 70)**2*(g - 1)**2
Let m(v) be the first derivative of v**6/33 + 4*v**5/55 - 2*v**4/11 - 16*v**3/33 - 760. Factor m(b).
2*b**2*(b - 2)*(b + 2)**2/11
Let v = 22312137307/1815 - 12293187. Let j = v - -2/1815. Determine u, given that j*u + 0 + 2/5*u**2 = 0.
-4, 0
Suppose 3*y = d + 4*d - 3, 2*d + y = 10. Suppose -4*o - 3*n = -13, d*n - 9 = -3*o - 0*o. Suppose 12 - 34 - 24*v - 14 - o*v**2 = 0. Calculate v.
-3
Let v be (-3 + 1)/(5 + 17/(-3)). Let h(u) be the first derivative of 3/14*u**2 + 0*u - 1/7*u**v - 3. Determine j so that h(j) = 0.
0, 1
Let v(p) be the third derivative of p**6/180 - 47*p**5/90 + 107*p**4/18 - 56*p**3/3 + 56*p**2 + 2*p - 9. Find n, given that v(n) = 0.
1, 4, 42
Let b(l) be the third derivative of 0*l**4 + 30*l**2 + 0*l**3 + 1/616*l**8 + 0*l - 3/220*l**6 + 0 - 1/55*l**5 + 0*l**7. Factor b(z).
6*z**2*(z - 2)*(z + 1)**2/11
Let q(w) = w**4 + w**3 + w**2 - 2*w + 1. Let d(c) = -32*c**4 + 139*c**3 + 91*c**2 - 758*c - 773. Let m(v) = -d(v) - 5*q(v). Find r, given that m(r) = 0.
-4/3, 4
Let p be (-288)/(-204) - 860/(-1462). Factor -12 - 5*d + 11/2*d**p.
(d - 2)*(11*d + 12)/2
Suppose -4*n - 24 = -2*j, -3*n - 9 = 8*j - 5*j. Factor -11*b - 23*b**j - 3*b**3 + 2*b**2 - 13*b - 8*b**2 + 11*b**2.
-3*b*(b + 2)*(b + 4)
Find f, given that 7*f**2 + 5*f**3 + 12 - 139*f + 108 + 103*f**2 - 129*f + 33*f = 0.
-24, 1
Factor 771 + 566 + 5*a**2 - 452 + 391 - 1995*a + 714.
5*(a - 398)*(a - 1)
Suppose -2*b - 4*c - 752 = 0, -3*c - 343 = b + 29. Let i = b + 387. Factor -1/6*k**i - 8*k + 2*k**2 + 32/3.
-(k - 4)**3/6
Let v(x) be the second derivative of -x**6/12 + 14*x**5/15 - 15*x**4/4 + 6*x**3 + 49*x**2/2 + 12*x. Let m(b) be the first derivative of v(b). Factor m(s).
-2*(s - 3)*(s - 2)*(5*s - 3)
Let u(w) be the third derivative of 1/180*w**6 - 11/90*w**5 - 16/3*w**3 + 0*w + 10/9*w**4 + 27*w**2 + 0. Let u(h) = 0. What is h?
3, 4
Suppose 52 = 6*g + 202. Let q(k) = 5*k + 127. Let o be q(g). Factor -9/2*m**o - 3/2*m**3 + 0 - 3*m.
-3*m*(m + 1)*(m + 2)/2
Let y = -666289/2 + 333185. Solve y + 3/2*h**2 - 42*h = 0.
1, 27
Let r(n) be the first derivative of -n**5 - 165*n**4/4 - 200*n**3 - 290*n**2 + 4524. Solve r(c) = 0.
-29, -2, 0
Determine c so that -38/3*c**3 + 0 - 2/3*c**5 + 40/3*c - 8*c**4 + 8*c**2 = 0.
-10, -2, -1, 0, 1
Let g be 10/(-4)*(-320)/400. Let z(i) be the first derivative of -12/7*i + 13 + 5/7*i**g - 2/21*i**3. Factor z(m).
-2*(m - 3)*(m - 2)/7
Let y(m) be the third derivative of 2*m**7/315 + 19*m**6/135 + 32*m**5/135 - 19*m**4/27 - 70*m**3/27 - 900*m**2. Let y(v) = 0. What is v?
-35/3, -1, 1
Let j(b) = 8*b**3 + 9*b**2 + 23*b - 101. Let q(h) = -10*h**3 - 8*h**2 - 24*h + 96. Let x(u) = 6*j(u) + 5*q(u). Factor x(t).
-2*(t - 7)*(t - 3)*(t + 3)
Suppose 256*o + 36 = 274*o. Let t be 0*((3 - (-5)/o) + -5). Factor -3/2*s**2 - 1/2*s + t - s**3.
-s*(s + 1)*(2*s + 1)/2
Let w = -3524/3 + 1178. Let v(q) be the second derivative of 10/3*q**3 + 3*q - 1/6*q**6 - w*q**4 + 0*q**2 + 0 + 5/4*q**5. Factor v(l).
-5*l*(l - 2)**2*(l - 1)
Factor -797*n - 12*n**3 + 73 - 73 + 112*n**2 - 28*n**4 + 845*n.
-4*n*(n - 2)*(n + 2)*(7*n + 3)
Let k = -4622 - -4622. Let c(v) be the first derivative of -1/28*v**4 - 2/7*v**2 - 9 + k*v - 4/21*v**3. Determine i, given that c(i) = 0.
-2, 0
Let z = -481 - -486. Suppose -2*p - 8 = -4*m, 5*m + 7*p = 6*p + 17. Factor -2*g**m - 8/5*g**4 - 2/5*g**z + 0 + 0*g - 4/5*g**2.
-2*g**2*(g + 1)**2*(g + 2)/5
Suppose -28 - 443/5*u**2 + 416/5*u - 29/5*u**4 - 1/5*u**5 + 197/5*u**3 = 0. Calculate u.
-35, 1, 2
Solve -40*w - 51/2*w**2 + 19/2*w**4 - 3/2*w**5 - 14 + 23/2*w**3 = 0 for w.
-1, -2/3, 2, 7
Let c(u) = -u**3 - u. Let k(o) = -o**4 + 32*o**3 - 3*o**2 - 32*o. Let v(y) = -66*c(y) - 3*k(y). Factor v(r).
3*r*(r - 9)*(r - 3)*(r + 2)
Let k(m) be the third derivative of -m**5/30 - 103*m**4/3 + 413*m**3/3 - 2093*m**2. Factor k(u).
-2*(u - 1)*(u + 413)
Suppose -418/13*d**2 + 840/13*d + 60/13*d**3 - 2/13*d**4 + 0 = 0. Calculate d.
0, 4, 5, 21
Suppose 0 = -1160*u + 1156*u + m - 7, 2*u + 4*m - 28 = 0. Let u + 1/5*b**2 + 1/5*b = 0. What is b?
-1, 0
Let o(x) be the second derivative of -4*x**5/35 - 8*x**4/21 + 2*x**3/7 + 18*x**2/7 - 3*x - 216. Factor o(b).
-4*(b - 1)*(2*b + 3)**2/7
Solve 141